Build log for z3 (4.4.1-1~deb10u1) on armhf

z3 → 4.4.1-1~deb10u1 → armhf → 2019-09-08 00:25:40

sbuild (Debian sbuild) 0.71.0 (24 Aug 2016) on testbuildd

+==============================================================================+
| z3 4.4.1-1~deb10u1 (armhf)                   Sat, 07 Sep 2019 20:55:30 +0000 |
+==============================================================================+

Package: z3
Version: 4.4.1-1~deb10u1
Source Version: 4.4.1-1~deb10u1
Distribution: buster-staging
Machine Architecture: armhf
Host Architecture: armhf
Build Architecture: armhf

I: NOTICE: Log filtering will replace 'var/lib/schroot/mount/buster-staging-armhf-sbuild-3cfb380b-e673-4b5c-acae-e6b68ebaf3b5' with '<<CHROOT>>'

+------------------------------------------------------------------------------+
| Update chroot                                                                |
+------------------------------------------------------------------------------+

Get:1 http://172.17.0.1/private buster-staging InRelease [11.3 kB]
Get:2 http://172.17.0.1/private buster-staging/main Sources [11.3 MB]
Get:3 http://172.17.0.1/private buster-staging/main armhf Packages [13.0 MB]
Fetched 24.3 MB in 30s (807 kB/s)
Reading package lists...
W: No sandbox user '_apt' on the system, can not drop privileges

+------------------------------------------------------------------------------+
| Fetch source files                                                           |
+------------------------------------------------------------------------------+


Check APT
---------

Checking available source versions...

Download source files with APT
------------------------------

Reading package lists...
NOTICE: 'z3' packaging is maintained in the 'Git' version control system at:
https://salsa.debian.org/pkg-llvm-team/z3.git
Please use:
git clone https://salsa.debian.org/pkg-llvm-team/z3.git
to retrieve the latest (possibly unreleased) updates to the package.
Need to get 3365 kB of source archives.
Get:1 http://172.17.0.1/private buster-staging/main z3 4.4.1-1~deb10u1 (dsc) [3055 B]
Get:2 http://172.17.0.1/private buster-staging/main z3 4.4.1-1~deb10u1 (tar) [3347 kB]
Get:3 http://172.17.0.1/private buster-staging/main z3 4.4.1-1~deb10u1 (diff) [14.7 kB]
Fetched 3365 kB in 1s (2827 kB/s)
Download complete and in download only mode
I: NOTICE: Log filtering will replace 'build/z3-Dt4EKY/z3-4.4.1' with '<<PKGBUILDDIR>>'
I: NOTICE: Log filtering will replace 'build/z3-Dt4EKY' with '<<BUILDDIR>>'

+------------------------------------------------------------------------------+
| Install build-essential                                                      |
+------------------------------------------------------------------------------+


Setup apt archive
-----------------

Merged Build-Depends: build-essential, fakeroot
Filtered Build-Depends: build-essential, fakeroot
dpkg-deb: building package 'sbuild-build-depends-core-dummy' in '/<<BUILDDIR>>/resolver-Ja8xZ0/apt_archive/sbuild-build-depends-core-dummy.deb'.
dpkg-scanpackages: warning: Packages in archive but missing from override file:
dpkg-scanpackages: warning:   sbuild-build-depends-core-dummy
dpkg-scanpackages: info: Wrote 1 entries to output Packages file.
gpg: keybox '/<<BUILDDIR>>/resolver-Ja8xZ0/gpg/pubring.kbx' created
gpg: /<<BUILDDIR>>/resolver-Ja8xZ0/gpg/trustdb.gpg: trustdb created
gpg: key 35506D9A48F77B2E: public key "Sbuild Signer (Sbuild Build Dependency Archive Key) <buildd-tools-devel@lists.alioth.debian.org>" imported
gpg: Total number processed: 1
gpg:               imported: 1
gpg: key 35506D9A48F77B2E: "Sbuild Signer (Sbuild Build Dependency Archive Key) <buildd-tools-devel@lists.alioth.debian.org>" not changed
gpg: key 35506D9A48F77B2E: secret key imported
gpg: Total number processed: 1
gpg:              unchanged: 1
gpg:       secret keys read: 1
gpg:   secret keys imported: 1
gpg: using "Sbuild Signer" as default secret key for signing
Ign:1 copy:/<<BUILDDIR>>/resolver-Ja8xZ0/apt_archive ./ InRelease
Get:2 copy:/<<BUILDDIR>>/resolver-Ja8xZ0/apt_archive ./ Release [957 B]
Get:3 copy:/<<BUILDDIR>>/resolver-Ja8xZ0/apt_archive ./ Release.gpg [370 B]
Get:4 copy:/<<BUILDDIR>>/resolver-Ja8xZ0/apt_archive ./ Sources [349 B]
Get:5 copy:/<<BUILDDIR>>/resolver-Ja8xZ0/apt_archive ./ Packages [432 B]
Fetched 2108 B in 1s (2674 B/s)
Reading package lists...
W: No sandbox user '_apt' on the system, can not drop privileges
Reading package lists...

Install core build dependencies (apt-based resolver)
----------------------------------------------------

Installing build dependencies
Reading package lists...
Building dependency tree...
Reading state information...
The following packages were automatically installed and are no longer required:
  ca-certificates dbus dbus-user-session e2fsprogs-l10n libexpat1
  libgpg-error-l10n libnss-systemd libpam-systemd openssl
Use 'apt autoremove' to remove them.
The following NEW packages will be installed:
  sbuild-build-depends-core-dummy
0 upgraded, 1 newly installed, 0 to remove and 6 not upgraded.
Need to get 852 B of archives.
After this operation, 0 B of additional disk space will be used.
Get:1 copy:/<<BUILDDIR>>/resolver-Ja8xZ0/apt_archive ./ sbuild-build-depends-core-dummy 0.invalid.0 [852 B]
debconf: delaying package configuration, since apt-utils is not installed
Fetched 852 B in 0s (64.0 kB/s)
Selecting previously unselected package sbuild-build-depends-core-dummy.
(Reading database ... 15878 files and directories currently installed.)
Preparing to unpack .../sbuild-build-depends-core-dummy_0.invalid.0_armhf.deb ...
Unpacking sbuild-build-depends-core-dummy (0.invalid.0) ...
Setting up sbuild-build-depends-core-dummy (0.invalid.0) ...
W: No sandbox user '_apt' on the system, can not drop privileges

+------------------------------------------------------------------------------+
| Check architectures                                                          |
+------------------------------------------------------------------------------+

Arch check ok (armhf included in any)

+------------------------------------------------------------------------------+
| Install package build dependencies                                           |
+------------------------------------------------------------------------------+


Setup apt archive
-----------------

Merged Build-Depends: debhelper (>= 9), dh-python, python, javahelper, default-jdk, ocaml-nox, dh-ocaml, mono-mcs, cli-common-dev, libmono-system-numerics4.0-cil
Filtered Build-Depends: debhelper (>= 9), dh-python, python, javahelper, default-jdk, ocaml-nox, dh-ocaml, mono-mcs, cli-common-dev, libmono-system-numerics4.0-cil
dpkg-deb: building package 'sbuild-build-depends-z3-dummy' in '/<<BUILDDIR>>/resolver-Ja8xZ0/apt_archive/sbuild-build-depends-z3-dummy.deb'.
dpkg-scanpackages: warning: Packages in archive but missing from override file:
dpkg-scanpackages: warning:   sbuild-build-depends-core-dummy sbuild-build-depends-z3-dummy
dpkg-scanpackages: info: Wrote 2 entries to output Packages file.
gpg: using "Sbuild Signer" as default secret key for signing
Ign:1 copy:/<<BUILDDIR>>/resolver-Ja8xZ0/apt_archive ./ InRelease
Get:2 copy:/<<BUILDDIR>>/resolver-Ja8xZ0/apt_archive ./ Release [963 B]
Get:3 copy:/<<BUILDDIR>>/resolver-Ja8xZ0/apt_archive ./ Release.gpg [370 B]
Get:4 copy:/<<BUILDDIR>>/resolver-Ja8xZ0/apt_archive ./ Sources [635 B]
Get:5 copy:/<<BUILDDIR>>/resolver-Ja8xZ0/apt_archive ./ Packages [641 B]
Fetched 2609 B in 1s (3518 B/s)
Reading package lists...
W: No sandbox user '_apt' on the system, can not drop privileges
Reading package lists...

Install z3 build dependencies (apt-based resolver)
--------------------------------------------------

Installing build dependencies
Reading package lists...
Building dependency tree...
Reading state information...
The following packages were automatically installed and are no longer required:
  dbus dbus-user-session e2fsprogs-l10n libgpg-error-l10n libnss-systemd
  libpam-systemd
Use 'apt autoremove' to remove them.
The following additional packages will be installed:
  adwaita-icon-theme autoconf automake autopoint autotools-dev bsdmainutils
  ca-certificates-java cli-common cli-common-dev dctrl-tools debhelper
  default-jdk default-jdk-headless default-jre default-jre-headless devscripts
  dh-autoreconf dh-ocaml dh-python dh-strip-nondeterminism dwz file fontconfig
  fontconfig-config fonts-dejavu-core gettext gettext-base groff-base
  gtk-update-icon-cache hicolor-icon-theme intltool-debian java-common
  javahelper libarchive-zip-perl libasound2 libasound2-data libatk1.0-0
  libatk1.0-data libavahi-client3 libavahi-common-data libavahi-common3
  libb-hooks-op-check-perl libbsd0 libcairo2 libclass-method-modifiers-perl
  libcroco3 libcups2 libdatrie1 libdevel-callchecker-perl
  libdevel-globaldestruction-perl libdrm-amdgpu1 libdrm-etnaviv1
  libdrm-nouveau2 libdrm-radeon1 libdynaloader-functions-perl libedit2 libelf1
  libencode-locale-perl libexif12 libfile-homedir-perl libfile-listing-perl
  libfile-stripnondeterminism-perl libfile-which-perl libfontconfig1
  libfreetype6 libfribidi0 libgdiplus libgdk-pixbuf2.0-0
  libgdk-pixbuf2.0-common libgif7 libgl1 libgl1-mesa-dri libgl1-mesa-glx
  libglapi-mesa libglib2.0-0 libglvnd0 libglx-mesa0 libglx0 libgraphite2-3
  libgssapi-krb5-2 libgtk2.0-0 libgtk2.0-common libharfbuzz0b
  libhtml-parser-perl libhtml-tagset-perl libhtml-tree-perl
  libhttp-cookies-perl libhttp-date-perl libhttp-message-perl
  libhttp-negotiate-perl libicu63 libimport-into-perl libio-html-perl
  libio-pty-perl libio-socket-ssl-perl libipc-run-perl libjbig0
  libjpeg62-turbo libk5crypto3 libkeyutils1 libkrb5-3 libkrb5support0
  liblcms2-2 libllvm7 liblwp-mediatypes-perl liblwp-protocol-https-perl
  libmagic-mgc libmagic1 libmodule-runtime-perl libmono-2.0-dev
  libmono-accessibility4.0-cil libmono-cairo4.0-cil libmono-cecil-private-cil
  libmono-cil-dev libmono-codecontracts4.0-cil
  libmono-compilerservices-symbolwriter4.0-cil libmono-corlib4.5-cil
  libmono-cscompmgd0.0-cil libmono-csharp4.0c-cil
  libmono-custommarshalers4.0-cil libmono-data-tds4.0-cil libmono-db2-1.0-cil
  libmono-debugger-soft4.0a-cil libmono-http4.0-cil libmono-i18n-cjk4.0-cil
  libmono-i18n-mideast4.0-cil libmono-i18n-other4.0-cil
  libmono-i18n-rare4.0-cil libmono-i18n-west4.0-cil libmono-i18n4.0-all
  libmono-i18n4.0-cil libmono-ldap4.0-cil libmono-management4.0-cil
  libmono-messaging-rabbitmq4.0-cil libmono-messaging4.0-cil
  libmono-microsoft-build-engine4.0-cil
  libmono-microsoft-build-framework4.0-cil
  libmono-microsoft-build-tasks-v4.0-4.0-cil
  libmono-microsoft-build-utilities-v4.0-4.0-cil
  libmono-microsoft-build4.0-cil libmono-microsoft-csharp4.0-cil
  libmono-microsoft-visualc10.0-cil
  libmono-microsoft-web-infrastructure1.0-cil libmono-oracle4.0-cil
  libmono-parallel4.0-cil libmono-peapi4.0a-cil libmono-posix4.0-cil
  libmono-rabbitmq4.0-cil libmono-relaxng4.0-cil libmono-security4.0-cil
  libmono-sharpzip4.84-cil libmono-simd4.0-cil libmono-smdiagnostics0.0-cil
  libmono-sqlite4.0-cil libmono-system-componentmodel-composition4.0-cil
  libmono-system-componentmodel-dataannotations4.0-cil
  libmono-system-configuration-install4.0-cil
  libmono-system-configuration4.0-cil libmono-system-core4.0-cil
  libmono-system-data-datasetextensions4.0-cil
  libmono-system-data-entity4.0-cil libmono-system-data-linq4.0-cil
  libmono-system-data-services-client4.0-cil
  libmono-system-data-services4.0-cil libmono-system-data4.0-cil
  libmono-system-deployment4.0-cil libmono-system-design4.0-cil
  libmono-system-drawing-design4.0-cil libmono-system-drawing4.0-cil
  libmono-system-dynamic4.0-cil libmono-system-enterpriseservices4.0-cil
  libmono-system-identitymodel-selectors4.0-cil
  libmono-system-identitymodel4.0-cil
  libmono-system-io-compression-filesystem4.0-cil
  libmono-system-io-compression4.0-cil libmono-system-json-microsoft4.0-cil
  libmono-system-json4.0-cil libmono-system-ldap-protocols4.0-cil
  libmono-system-ldap4.0-cil libmono-system-management4.0-cil
  libmono-system-messaging4.0-cil libmono-system-net-http-formatting4.0-cil
  libmono-system-net-http-webrequest4.0-cil libmono-system-net-http4.0-cil
  libmono-system-net4.0-cil libmono-system-numerics-vectors4.0-cil
  libmono-system-numerics4.0-cil libmono-system-reactive-core2.2-cil
  libmono-system-reactive-debugger2.2-cil
  libmono-system-reactive-experimental2.2-cil
  libmono-system-reactive-interfaces2.2-cil
  libmono-system-reactive-linq2.2-cil
  libmono-system-reactive-observable-aliases0.0-cil
  libmono-system-reactive-platformservices2.2-cil
  libmono-system-reactive-providers2.2-cil
  libmono-system-reactive-runtime-remoting2.2-cil
  libmono-system-reactive-windows-forms2.2-cil
  libmono-system-reactive-windows-threading2.2-cil
  libmono-system-reflection-context4.0-cil
  libmono-system-runtime-caching4.0-cil
  libmono-system-runtime-durableinstancing4.0-cil
  libmono-system-runtime-serialization-formatters-soap4.0-cil
  libmono-system-runtime-serialization4.0-cil libmono-system-runtime4.0-cil
  libmono-system-security4.0-cil libmono-system-servicemodel-activation4.0-cil
  libmono-system-servicemodel-discovery4.0-cil
  libmono-system-servicemodel-internals0.0-cil
  libmono-system-servicemodel-routing4.0-cil
  libmono-system-servicemodel-web4.0-cil libmono-system-servicemodel4.0a-cil
  libmono-system-serviceprocess4.0-cil
  libmono-system-threading-tasks-dataflow4.0-cil
  libmono-system-transactions4.0-cil libmono-system-web-abstractions4.0-cil
  libmono-system-web-applicationservices4.0-cil
  libmono-system-web-dynamicdata4.0-cil
  libmono-system-web-extensions-design4.0-cil
  libmono-system-web-extensions4.0-cil libmono-system-web-http-selfhost4.0-cil
  libmono-system-web-http-webhost4.0-cil libmono-system-web-http4.0-cil
  libmono-system-web-mobile4.0-cil libmono-system-web-mvc3.0-cil
  libmono-system-web-razor2.0-cil libmono-system-web-regularexpressions4.0-cil
  libmono-system-web-routing4.0-cil libmono-system-web-services4.0-cil
  libmono-system-web-webpages-deployment2.0-cil
  libmono-system-web-webpages-razor2.0-cil libmono-system-web-webpages2.0-cil
  libmono-system-web4.0-cil
  libmono-system-windows-forms-datavisualization4.0a-cil
  libmono-system-windows-forms4.0-cil libmono-system-windows4.0-cil
  libmono-system-workflow-activities4.0-cil
  libmono-system-workflow-componentmodel4.0-cil
  libmono-system-workflow-runtime4.0-cil libmono-system-xaml4.0-cil
  libmono-system-xml-linq4.0-cil libmono-system-xml-serialization4.0-cil
  libmono-system-xml4.0-cil libmono-system4.0-cil libmono-tasklets4.0-cil
  libmono-webbrowser4.0-cil libmono-webmatrix-data4.0-cil
  libmono-windowsbase4.0-cil libmono-xbuild-tasks4.0-cil libmonoboehm-2.0-1
  libmonosgen-2.0-1 libmonosgen-2.0-dev libmoo-perl libmpdec2 libncurses-dev
  libncurses5-dev libnet-http-perl libnet-ssleay-perl libnspr4 libnss3
  libnunit-cil-dev libnunit-console-runner2.6.3-cil
  libnunit-core-interfaces2.6.3-cil libnunit-core2.6.3-cil
  libnunit-framework2.6.3-cil libnunit-mocks2.6.3-cil libnunit-util2.6.3-cil
  libpango-1.0-0 libpangocairo-1.0-0 libpangoft2-1.0-0 libparams-classify-perl
  libpcsclite1 libpipeline1 libpixman-1-0 libpython-stdlib libpython2-stdlib
  libpython2.7-minimal libpython2.7-stdlib libpython3-stdlib
  libpython3.7-minimal libpython3.7-stdlib librole-tiny-perl librsvg2-2
  librsvg2-common libsensors-config libsensors5 libsigsegv2 libstrictures-perl
  libsub-exporter-progressive-perl libsub-quote-perl libthai-data libthai0
  libtiff5 libtimedate-perl libtool libtry-tiny-perl libuchardet0 liburi-perl
  libwebp6 libwww-perl libwww-robotrules-perl libx11-6 libx11-data libx11-xcb1
  libxau6 libxcb-dri2-0 libxcb-dri3-0 libxcb-glx0 libxcb-present0
  libxcb-render0 libxcb-shm0 libxcb-sync1 libxcb1 libxcomposite1 libxcursor1
  libxdamage1 libxdmcp6 libxext6 libxfixes3 libxi6 libxinerama1
  libxml-dom-perl libxml-parser-perl libxml-perl libxml-regexp-perl libxml2
  libxrandr2 libxrender1 libxshmfence1 libxtst6 libxxf86vm1 m4 man-db
  mime-support mono-4.0-gac mono-devel mono-gac mono-mcs mono-runtime
  mono-runtime-common mono-runtime-sgen mono-utils mono-xbuild ocaml-base-nox
  ocaml-compiler-libs ocaml-interp ocaml-nox openjdk-11-jdk
  openjdk-11-jdk-headless openjdk-11-jre openjdk-11-jre-headless patchutils
  perl-openssl-defaults pkg-config po-debconf python python-minimal python2
  python2-minimal python2.7 python2.7-minimal python3 python3-distutils
  python3-lib2to3 python3-minimal python3.7 python3.7-minimal shared-mime-info
  ucf wdiff x11-common
Suggested packages:
  autoconf-archive gnu-standards autoconf-doc wamerican | wordlist whois
  vacation debtags dh-make adequate autopkgtest bls-standalone bsd-mailx
  | mailx check-all-the-things cvs-buildpackage devscripts-el diffoscope
  disorderfs dose-extra duck faketime gnuplot how-can-i-help
  libauthen-sasl-perl libdbd-pg-perl libfile-desktopentry-perl
  libnet-smtps-perl libterm-size-perl libyaml-syck-perl mozilla-devscripts
  mutt piuparts postgresql-client quilt ratt reprotest ssh-client
  svn-buildpackage w3m git gettext-doc libasprintf-dev libgettextpo-dev groff
  libasound2-plugins alsa-utils cups-common krb5-doc krb5-user gvfs
  libdata-dump-perl liblcms2-utils libcrypt-ssleay-perl libgnomeui-0 libgamin0
  ncurses-doc libnunit-doc monodoc-nunit-manual libscalar-number-perl pcscd
  librsvg2-bin lm-sensors libbareword-filehandles-perl libindirect-perl
  libmultidimensional-perl libtool-doc gfortran | fortran95-compiler gcj-jdk
  libauthen-ntlm-perl m4-doc apparmor less www-browser xdg-utils | libgnome2-0
  | konqueror ocaml-doc tuareg-mode | ocaml-mode openjdk-11-demo
  openjdk-11-source visualvm libnss-mdns fonts-dejavu-extra
  fonts-ipafont-gothic fonts-ipafont-mincho fonts-wqy-microhei
  | fonts-wqy-zenhei fonts-indic libmail-box-perl python-doc python-tk
  python2-doc python2.7-doc binfmt-support python3-doc python3-tk python3-venv
  python3.7-venv python3.7-doc wdiff-doc
Recommended packages:
  at dput | dupload libdistro-info-perl libgit-wrapper-perl
  libgitlab-api-v4-perl liblist-compare-perl libstring-shellquote-perl
  licensecheck lintian python3-apt python3-debian python3-magic
  python3-requests python3-unidiff python3-xdg strace unzip wget | curl
  debian-keyring equivs libsoap-lite-perl curl | wget | lynx
  libarchive-cpio-perl libgdk-pixbuf2.0-bin libglib2.0-data xdg-user-dirs
  libgail-common libgtk2.0-bin libhtml-format-perl krb5-locales
  ca-certificates-mono libmono-btls-interface4.0-cil libgluezilla
  libclass-xsaccessor-perl libsub-name-perl libltdl-dev libdata-dump-perl
  libhtml-form-perl libhttp-daemon-perl libmailtools-perl mono-csharp-shell
  binfmt-support ledit | readline-editor libxt-dev libatk-wrapper-java-jni
  fonts-dejavu-extra libmail-sendmail-perl
The following NEW packages will be installed:
  adwaita-icon-theme autoconf automake autopoint autotools-dev bsdmainutils
  ca-certificates-java cli-common cli-common-dev dctrl-tools debhelper
  default-jdk default-jdk-headless default-jre default-jre-headless devscripts
  dh-autoreconf dh-ocaml dh-python dh-strip-nondeterminism dwz file fontconfig
  fontconfig-config fonts-dejavu-core gettext gettext-base groff-base
  gtk-update-icon-cache hicolor-icon-theme intltool-debian java-common
  javahelper libarchive-zip-perl libasound2 libasound2-data libatk1.0-0
  libatk1.0-data libavahi-client3 libavahi-common-data libavahi-common3
  libb-hooks-op-check-perl libbsd0 libcairo2 libclass-method-modifiers-perl
  libcroco3 libcups2 libdatrie1 libdevel-callchecker-perl
  libdevel-globaldestruction-perl libdrm-amdgpu1 libdrm-etnaviv1
  libdrm-nouveau2 libdrm-radeon1 libdynaloader-functions-perl libedit2 libelf1
  libencode-locale-perl libexif12 libfile-homedir-perl libfile-listing-perl
  libfile-stripnondeterminism-perl libfile-which-perl libfontconfig1
  libfreetype6 libfribidi0 libgdiplus libgdk-pixbuf2.0-0
  libgdk-pixbuf2.0-common libgif7 libgl1 libgl1-mesa-dri libgl1-mesa-glx
  libglapi-mesa libglib2.0-0 libglvnd0 libglx-mesa0 libglx0 libgraphite2-3
  libgssapi-krb5-2 libgtk2.0-0 libgtk2.0-common libharfbuzz0b
  libhtml-parser-perl libhtml-tagset-perl libhtml-tree-perl
  libhttp-cookies-perl libhttp-date-perl libhttp-message-perl
  libhttp-negotiate-perl libicu63 libimport-into-perl libio-html-perl
  libio-pty-perl libio-socket-ssl-perl libipc-run-perl libjbig0
  libjpeg62-turbo libk5crypto3 libkeyutils1 libkrb5-3 libkrb5support0
  liblcms2-2 libllvm7 liblwp-mediatypes-perl liblwp-protocol-https-perl
  libmagic-mgc libmagic1 libmodule-runtime-perl libmono-2.0-dev
  libmono-accessibility4.0-cil libmono-cairo4.0-cil libmono-cecil-private-cil
  libmono-cil-dev libmono-codecontracts4.0-cil
  libmono-compilerservices-symbolwriter4.0-cil libmono-corlib4.5-cil
  libmono-cscompmgd0.0-cil libmono-csharp4.0c-cil
  libmono-custommarshalers4.0-cil libmono-data-tds4.0-cil libmono-db2-1.0-cil
  libmono-debugger-soft4.0a-cil libmono-http4.0-cil libmono-i18n-cjk4.0-cil
  libmono-i18n-mideast4.0-cil libmono-i18n-other4.0-cil
  libmono-i18n-rare4.0-cil libmono-i18n-west4.0-cil libmono-i18n4.0-all
  libmono-i18n4.0-cil libmono-ldap4.0-cil libmono-management4.0-cil
  libmono-messaging-rabbitmq4.0-cil libmono-messaging4.0-cil
  libmono-microsoft-build-engine4.0-cil
  libmono-microsoft-build-framework4.0-cil
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  libmono-system-net4.0-cil libmono-system-numerics-vectors4.0-cil
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  libmono-system-windows-forms4.0-cil libmono-system-windows4.0-cil
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  libmono-system-xml-linq4.0-cil libmono-system-xml-serialization4.0-cil
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  libmono-webbrowser4.0-cil libmono-webmatrix-data4.0-cil
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  libncurses5-dev libnet-http-perl libnet-ssleay-perl libnspr4 libnss3
  libnunit-cil-dev libnunit-console-runner2.6.3-cil
  libnunit-core-interfaces2.6.3-cil libnunit-core2.6.3-cil
  libnunit-framework2.6.3-cil libnunit-mocks2.6.3-cil libnunit-util2.6.3-cil
  libpango-1.0-0 libpangocairo-1.0-0 libpangoft2-1.0-0 libparams-classify-perl
  libpcsclite1 libpipeline1 libpixman-1-0 libpython-stdlib libpython2-stdlib
  libpython2.7-minimal libpython2.7-stdlib libpython3-stdlib
  libpython3.7-minimal libpython3.7-stdlib librole-tiny-perl librsvg2-2
  librsvg2-common libsensors-config libsensors5 libsigsegv2 libstrictures-perl
  libsub-exporter-progressive-perl libsub-quote-perl libthai-data libthai0
  libtiff5 libtimedate-perl libtool libtry-tiny-perl libuchardet0 liburi-perl
  libwebp6 libwww-perl libwww-robotrules-perl libx11-6 libx11-data libx11-xcb1
  libxau6 libxcb-dri2-0 libxcb-dri3-0 libxcb-glx0 libxcb-present0
  libxcb-render0 libxcb-shm0 libxcb-sync1 libxcb1 libxcomposite1 libxcursor1
  libxdamage1 libxdmcp6 libxext6 libxfixes3 libxi6 libxinerama1
  libxml-dom-perl libxml-parser-perl libxml-perl libxml-regexp-perl libxml2
  libxrandr2 libxrender1 libxshmfence1 libxtst6 libxxf86vm1 m4 man-db
  mime-support mono-4.0-gac mono-devel mono-gac mono-mcs mono-runtime
  mono-runtime-common mono-runtime-sgen mono-utils mono-xbuild ocaml-base-nox
  ocaml-compiler-libs ocaml-interp ocaml-nox openjdk-11-jdk
  openjdk-11-jdk-headless openjdk-11-jre openjdk-11-jre-headless patchutils
  perl-openssl-defaults pkg-config po-debconf python python-minimal python2
  python2-minimal python2.7 python2.7-minimal python3 python3-distutils
  python3-lib2to3 python3-minimal python3.7 python3.7-minimal
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Get:2 http://172.17.0.1/private buster-staging/main armhf libbsd0 armhf 0.9.1-2 [104 kB]
Get:3 http://172.17.0.1/private buster-staging/main armhf bsdmainutils armhf 11.1.2 [182 kB]
Get:4 http://172.17.0.1/private buster-staging/main armhf libuchardet0 armhf 0.0.6-3 [62.2 kB]
Get:5 http://172.17.0.1/private buster-staging/main armhf groff-base armhf 1.22.4-3 [782 kB]
Get:6 http://172.17.0.1/private buster-staging/main armhf libpipeline1 armhf 1.5.1-2 [26.6 kB]
Get:7 http://172.17.0.1/private buster-staging/main armhf man-db armhf 2.8.5-2 [1230 kB]
Get:8 http://172.17.0.1/private buster-staging/main armhf libpython2.7-minimal armhf 2.7.16-2 [395 kB]
Get:9 http://172.17.0.1/private buster-staging/main armhf python2.7-minimal armhf 2.7.16-2 [1093 kB]
Get:10 http://172.17.0.1/private buster-staging/main armhf python2-minimal armhf 2.7.16-1 [41.4 kB]
Get:11 http://172.17.0.1/private buster-staging/main armhf python-minimal armhf 2.7.16-1 [21.0 kB]
Get:12 http://172.17.0.1/private buster-staging/main armhf mime-support all 3.62 [37.2 kB]
Get:13 http://172.17.0.1/private buster-staging/main armhf libpython2.7-stdlib armhf 2.7.16-2 [1844 kB]
Get:14 http://172.17.0.1/private buster-staging/main armhf python2.7 armhf 2.7.16-2 [305 kB]
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Get:17 http://172.17.0.1/private buster-staging/main armhf python2 armhf 2.7.16-1 [41.6 kB]
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Get:19 http://172.17.0.1/private buster-staging/main armhf libpython3.7-minimal armhf 3.7.3-2 [583 kB]
Get:20 http://172.17.0.1/private buster-staging/main armhf python3.7-minimal armhf 3.7.3-2 [1464 kB]
Get:21 http://172.17.0.1/private buster-staging/main armhf python3-minimal armhf 3.7.3-1 [36.6 kB]
Get:22 http://172.17.0.1/private buster-staging/main armhf libmpdec2 armhf 2.4.2-2 [67.2 kB]
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Get:27 http://172.17.0.1/private buster-staging/main armhf libmagic-mgc armhf 1:5.35-4 [242 kB]
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Get:29 http://172.17.0.1/private buster-staging/main armhf file armhf 1:5.35-4 [65.3 kB]
Get:30 http://172.17.0.1/private buster-staging/main armhf gettext-base armhf 0.19.8.1-9 [117 kB]
Get:31 http://172.17.0.1/private buster-staging/main armhf ucf all 3.0038+nmu1 [69.0 kB]
Get:32 http://172.17.0.1/private buster-staging/main armhf hicolor-icon-theme all 0.17-2 [11.4 kB]
Get:33 http://172.17.0.1/private buster-staging/main armhf libglib2.0-0 armhf 2.58.3-2 [1077 kB]
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Get:35 http://172.17.0.1/private buster-staging/main armhf libxcb1 armhf 1.13.1-2 [132 kB]
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Get:37 http://172.17.0.1/private buster-staging/main armhf libx11-6 armhf 2:1.6.7-1 [689 kB]
Get:38 http://172.17.0.1/private buster-staging/main armhf libicu63 armhf 63.1-6 [7973 kB]
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Get:40 http://172.17.0.1/private buster-staging/main armhf shared-mime-info armhf 1.10-1 [762 kB]
Get:41 http://172.17.0.1/private buster-staging/main armhf libgdk-pixbuf2.0-common all 2.38.1+dfsg-1 [316 kB]
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Get:43 http://172.17.0.1/private buster-staging/main armhf gtk-update-icon-cache armhf 3.24.5-1 [80.5 kB]
Get:44 http://172.17.0.1/private buster-staging/main armhf libfreetype6 armhf 2.9.1-3 [318 kB]
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Get:58 http://172.17.0.1/private buster-staging/main armhf libgraphite2-3 armhf 1.3.13-7 [69.6 kB]
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Get:60 http://172.17.0.1/private buster-staging/main armhf libpangoft2-1.0-0 armhf 1.42.4-7~deb10u1 [62.0 kB]
Get:61 http://172.17.0.1/private buster-staging/main armhf libpangocairo-1.0-0 armhf 1.42.4-7~deb10u1 [51.7 kB]
Get:62 http://172.17.0.1/private buster-staging/main armhf librsvg2-2 armhf 2.44.10-2.1+rpi1 [967 kB]
Get:63 http://172.17.0.1/private buster-staging/main armhf librsvg2-common armhf 2.44.10-2.1+rpi1 [23.1 kB]
Get:64 http://172.17.0.1/private buster-staging/main armhf adwaita-icon-theme all 3.30.1-1 [11.7 MB]
Get:65 http://172.17.0.1/private buster-staging/main armhf libsigsegv2 armhf 2.12-2 [32.3 kB]
Get:66 http://172.17.0.1/private buster-staging/main armhf m4 armhf 1.4.18-2 [185 kB]
Get:67 http://172.17.0.1/private buster-staging/main armhf autoconf all 2.69-11 [341 kB]
Get:68 http://172.17.0.1/private buster-staging/main armhf autotools-dev all 20180224.1 [77.0 kB]
Get:69 http://172.17.0.1/private buster-staging/main armhf automake all 1:1.16.1-4 [771 kB]
Get:70 http://172.17.0.1/private buster-staging/main armhf autopoint all 0.19.8.1-9 [434 kB]
Get:71 http://172.17.0.1/private buster-staging/main armhf java-common all 0.71 [14.4 kB]
Get:72 http://172.17.0.1/private buster-staging/main armhf libavahi-common-data armhf 0.7-4+b1 [122 kB]
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Get:79 http://172.17.0.1/private buster-staging/main armhf libasound2-data all 1.1.8-1 [59.6 kB]
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Get:92 http://172.17.0.1/private buster-staging/main armhf dwz armhf 0.12-3 [66.0 kB]
Get:93 http://172.17.0.1/private buster-staging/main armhf gettext armhf 0.19.8.1-9 [1219 kB]
Get:94 http://172.17.0.1/private buster-staging/main armhf intltool-debian all 0.35.0+20060710.5 [26.8 kB]
Get:95 http://172.17.0.1/private buster-staging/main armhf po-debconf all 1.0.21 [248 kB]
Get:96 http://172.17.0.1/private buster-staging/main armhf debhelper all 12.1.1 [1016 kB]
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Get:115 http://172.17.0.1/private buster-staging/main armhf libmono-peapi4.0a-cil all 5.18.0.240+dfsg-3 [70.6 kB]
Get:116 http://172.17.0.1/private buster-staging/main armhf libmono-relaxng4.0-cil all 5.18.0.240+dfsg-3 [103 kB]
Get:117 http://172.17.0.1/private buster-staging/main armhf libmono-system-componentmodel-composition4.0-cil all 5.18.0.240+dfsg-3 [120 kB]
Get:118 http://172.17.0.1/private buster-staging/main armhf libmono-system-componentmodel-dataannotations4.0-cil all 5.18.0.240+dfsg-3 [60.2 kB]
Get:119 http://172.17.0.1/private buster-staging/main armhf libmono-system-configuration-install4.0-cil all 5.18.0.240+dfsg-3 [42.7 kB]
Get:120 http://172.17.0.1/private buster-staging/main armhf libmono-system-transactions4.0-cil all 5.18.0.240+dfsg-3 [46.6 kB]
Get:121 http://172.17.0.1/private buster-staging/main armhf libmono-system-enterpriseservices4.0-cil all 5.18.0.240+dfsg-3 [49.9 kB]
Get:122 http://172.17.0.1/private buster-staging/main armhf libmono-system-data4.0-cil all 5.18.0.240+dfsg-3 [607 kB]
Get:123 http://172.17.0.1/private buster-staging/main armhf libmono-system-servicemodel-internals0.0-cil all 5.18.0.240+dfsg-3 [105 kB]
Get:124 http://172.17.0.1/private buster-staging/main armhf libmono-system-runtime-serialization4.0-cil all 5.18.0.240+dfsg-3 [272 kB]
Get:125 http://172.17.0.1/private buster-staging/main armhf libmono-system-data-linq4.0-cil all 5.18.0.240+dfsg-3 [176 kB]
Get:126 http://172.17.0.1/private buster-staging/main armhf libexif12 armhf 0.6.21-5.1 [315 kB]
Get:127 http://172.17.0.1/private buster-staging/main armhf libgif7 armhf 5.1.4-3 [41.0 kB]
Get:128 http://172.17.0.1/private buster-staging/main armhf libgdiplus armhf 4.2-2 [112 kB]
Get:129 http://172.17.0.1/private buster-staging/main armhf libmono-system-drawing4.0-cil all 5.18.0.240+dfsg-3 [170 kB]
Get:130 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-applicationservices4.0-cil all 5.18.0.240+dfsg-3 [45.8 kB]
Get:131 http://172.17.0.1/private buster-staging/main armhf libmono-system-identitymodel4.0-cil all 5.18.0.240+dfsg-3 [77.1 kB]
Get:132 http://172.17.0.1/private buster-staging/main armhf libmono-system-io-compression4.0-cil all 5.18.0.240+dfsg-3 [74.8 kB]
Get:133 http://172.17.0.1/private buster-staging/main armhf libmono-system-io-compression-filesystem4.0-cil all 5.18.0.240+dfsg-3 [41.1 kB]
Get:134 http://172.17.0.1/private buster-staging/main armhf libmono-system-net-http4.0-cil all 5.18.0.240+dfsg-3 [76.0 kB]
Get:135 http://172.17.0.1/private buster-staging/main armhf libmono-system-runtime-serialization-formatters-soap4.0-cil all 5.18.0.240+dfsg-3 [49.7 kB]
Get:136 http://172.17.0.1/private buster-staging/main armhf libmono-sqlite4.0-cil all 5.18.0.240+dfsg-3 [81.0 kB]
Get:137 http://172.17.0.1/private buster-staging/main armhf libmono-accessibility4.0-cil all 5.18.0.240+dfsg-3 [38.6 kB]
Get:138 http://172.17.0.1/private buster-staging/main armhf libmono-posix4.0-cil all 5.18.0.240+dfsg-3 [105 kB]
Get:139 http://172.17.0.1/private buster-staging/main armhf libmono-webbrowser4.0-cil all 5.18.0.240+dfsg-3 [81.3 kB]
Get:140 http://172.17.0.1/private buster-staging/main armhf libmono-i18n4.0-cil all 5.18.0.240+dfsg-3 [45.7 kB]
Get:141 http://172.17.0.1/private buster-staging/main armhf libmono-i18n-west4.0-cil all 5.18.0.240+dfsg-3 [48.8 kB]
Get:142 http://172.17.0.1/private buster-staging/main armhf libmono-system-windows-forms4.0-cil all 5.18.0.240+dfsg-3 [835 kB]
Get:143 http://172.17.0.1/private buster-staging/main armhf libmono-system-design4.0-cil all 5.18.0.240+dfsg-3 [127 kB]
Get:144 http://172.17.0.1/private buster-staging/main armhf libmono-ldap4.0-cil all 5.18.0.240+dfsg-3 [116 kB]
Get:145 http://172.17.0.1/private buster-staging/main armhf libmono-system-ldap4.0-cil all 5.18.0.240+dfsg-3 [64.5 kB]
Get:146 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-services4.0-cil all 5.18.0.240+dfsg-3 [191 kB]
Get:147 http://172.17.0.1/private buster-staging/main armhf libmono-system-web4.0-cil all 5.18.0.240+dfsg-3 [779 kB]
Get:148 http://172.17.0.1/private buster-staging/main armhf libmono-system-runtime4.0-cil all 5.18.0.240+dfsg-3 [78.9 kB]
Get:149 http://172.17.0.1/private buster-staging/main armhf libmono-system-identitymodel-selectors4.0-cil all 5.18.0.240+dfsg-3 [40.1 kB]
Get:150 http://172.17.0.1/private buster-staging/main armhf libmono-messaging4.0-cil all 5.18.0.240+dfsg-3 [46.4 kB]
Get:151 http://172.17.0.1/private buster-staging/main armhf libmono-system-messaging4.0-cil all 5.18.0.240+dfsg-3 [58.6 kB]
Get:152 http://172.17.0.1/private buster-staging/main armhf libmono-system-servicemodel-activation4.0-cil all 5.18.0.240+dfsg-3 [39.0 kB]
Get:153 http://172.17.0.1/private buster-staging/main armhf libmono-system-servicemodel4.0a-cil all 5.18.0.240+dfsg-3 [400 kB]
Get:154 http://172.17.0.1/private buster-staging/main armhf libmono-system-serviceprocess4.0-cil all 5.18.0.240+dfsg-3 [51.6 kB]
Get:155 http://172.17.0.1/private buster-staging/main armhf libmono-system-xml-linq4.0-cil all 5.18.0.240+dfsg-3 [80.0 kB]
Get:156 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-csharp4.0-cil all 5.18.0.240+dfsg-3 [139 kB]
Get:157 http://172.17.0.1/private buster-staging/main armhf mono-mcs all 5.18.0.240+dfsg-3 [559 kB]
Get:158 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-build-framework4.0-cil all 5.18.0.240+dfsg-3 [45.0 kB]
Get:159 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-build-utilities-v4.0-4.0-cil all 5.18.0.240+dfsg-3 [55.2 kB]
Get:160 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-build-engine4.0-cil all 5.18.0.240+dfsg-3 [114 kB]
Get:161 http://172.17.0.1/private buster-staging/main armhf libmono-xbuild-tasks4.0-cil all 5.18.0.240+dfsg-3 [48.8 kB]
Get:162 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-build-tasks-v4.0-4.0-cil all 5.18.0.240+dfsg-3 [92.4 kB]
Get:163 http://172.17.0.1/private buster-staging/main armhf mono-xbuild all 5.18.0.240+dfsg-3 [476 kB]
Get:164 http://172.17.0.1/private buster-staging/main armhf libmono-cairo4.0-cil all 5.18.0.240+dfsg-3 [54.6 kB]
Get:165 http://172.17.0.1/private buster-staging/main armhf libmono-cscompmgd0.0-cil all 5.18.0.240+dfsg-3 [41.3 kB]
Get:166 http://172.17.0.1/private buster-staging/main armhf libmono-csharp4.0c-cil all 5.18.0.240+dfsg-3 [426 kB]
Get:167 http://172.17.0.1/private buster-staging/main armhf libmono-custommarshalers4.0-cil all 5.18.0.240+dfsg-3 [39.2 kB]
Get:168 http://172.17.0.1/private buster-staging/main armhf libmono-data-tds4.0-cil all 5.18.0.240+dfsg-3 [68.9 kB]
Get:169 http://172.17.0.1/private buster-staging/main armhf libmono-db2-1.0-cil all 5.18.0.240+dfsg-3 [59.7 kB]
Get:170 http://172.17.0.1/private buster-staging/main armhf libmono-debugger-soft4.0a-cil all 5.18.0.240+dfsg-3 [89.5 kB]
Get:171 http://172.17.0.1/private buster-staging/main armhf libmono-sharpzip4.84-cil all 5.18.0.240+dfsg-3 [83.8 kB]
Get:172 http://172.17.0.1/private buster-staging/main armhf libmono-http4.0-cil all 5.18.0.240+dfsg-3 [45.6 kB]
Get:173 http://172.17.0.1/private buster-staging/main armhf libmono-i18n-cjk4.0-cil all 5.18.0.240+dfsg-3 [263 kB]
Get:174 http://172.17.0.1/private buster-staging/main armhf libmono-i18n-mideast4.0-cil all 5.18.0.240+dfsg-3 [42.8 kB]
Get:175 http://172.17.0.1/private buster-staging/main armhf libmono-i18n-other4.0-cil all 5.18.0.240+dfsg-3 [44.2 kB]
Get:176 http://172.17.0.1/private buster-staging/main armhf libmono-i18n-rare4.0-cil all 5.18.0.240+dfsg-3 [60.5 kB]
Get:177 http://172.17.0.1/private buster-staging/main armhf libmono-i18n4.0-all all 5.18.0.240+dfsg-3 [35.2 kB]
Get:178 http://172.17.0.1/private buster-staging/main armhf libmono-management4.0-cil all 5.18.0.240+dfsg-3 [39.6 kB]
Get:179 http://172.17.0.1/private buster-staging/main armhf libmono-rabbitmq4.0-cil all 5.18.0.240+dfsg-3 [115 kB]
Get:180 http://172.17.0.1/private buster-staging/main armhf libmono-messaging-rabbitmq4.0-cil all 5.18.0.240+dfsg-3 [47.3 kB]
Get:181 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-build4.0-cil all 5.18.0.240+dfsg-3 [123 kB]
Get:182 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-visualc10.0-cil all 5.18.0.240+dfsg-3 [38.0 kB]
Get:183 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-web-infrastructure1.0-cil all 5.18.0.240+dfsg-3 [40.5 kB]
Get:184 http://172.17.0.1/private buster-staging/main armhf libmono-oracle4.0-cil all 5.18.0.240+dfsg-3 [87.8 kB]
Get:185 http://172.17.0.1/private buster-staging/main armhf libmono-parallel4.0-cil all 5.18.0.240+dfsg-3 [46.1 kB]
Get:186 http://172.17.0.1/private buster-staging/main armhf libmono-simd4.0-cil all 5.18.0.240+dfsg-3 [50.3 kB]
Get:187 http://172.17.0.1/private buster-staging/main armhf libmono-smdiagnostics0.0-cil all 5.18.0.240+dfsg-3 [50.8 kB]
Get:188 http://172.17.0.1/private buster-staging/main armhf libmono-system-data-datasetextensions4.0-cil all 5.18.0.240+dfsg-3 [45.3 kB]
Get:189 http://172.17.0.1/private buster-staging/main armhf libmono-system-data-entity4.0-cil all 5.18.0.240+dfsg-3 [862 kB]
Get:190 http://172.17.0.1/private buster-staging/main armhf libmono-system-data-services-client4.0-cil all 5.18.0.240+dfsg-3 [162 kB]
Get:191 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-extensions4.0-cil all 5.18.0.240+dfsg-3 [186 kB]
Get:192 http://172.17.0.1/private buster-staging/main armhf libmono-system-servicemodel-web4.0-cil all 5.18.0.240+dfsg-3 [63.3 kB]
Get:193 http://172.17.0.1/private buster-staging/main armhf libmono-system-data-services4.0-cil all 5.18.0.240+dfsg-3 [50.7 kB]
Get:194 http://172.17.0.1/private buster-staging/main armhf libmono-system-deployment4.0-cil all 5.18.0.240+dfsg-3 [38.0 kB]
Get:195 http://172.17.0.1/private buster-staging/main armhf libmono-system-drawing-design4.0-cil all 5.18.0.240+dfsg-3 [45.3 kB]
Get:196 http://172.17.0.1/private buster-staging/main armhf libmono-system-dynamic4.0-cil all 5.18.0.240+dfsg-3 [67.2 kB]
Get:197 http://172.17.0.1/private buster-staging/main armhf libmono-system-json4.0-cil all 5.18.0.240+dfsg-3 [45.8 kB]
Get:198 http://172.17.0.1/private buster-staging/main armhf libmono-system-json-microsoft4.0-cil all 5.18.0.240+dfsg-3 [54.9 kB]
Get:199 http://172.17.0.1/private buster-staging/main armhf libmono-system-ldap-protocols4.0-cil all 5.18.0.240+dfsg-3 [53.8 kB]
Get:200 http://172.17.0.1/private buster-staging/main armhf libmono-system-management4.0-cil all 5.18.0.240+dfsg-3 [49.7 kB]
Get:201 http://172.17.0.1/private buster-staging/main armhf libmono-system-net4.0-cil all 5.18.0.240+dfsg-3 [38.8 kB]
Get:202 http://172.17.0.1/private buster-staging/main armhf libmono-system-net-http-formatting4.0-cil all 5.18.0.240+dfsg-3 [196 kB]
Get:203 http://172.17.0.1/private buster-staging/main armhf libmono-system-net-http-webrequest4.0-cil all 5.18.0.240+dfsg-3 [38.5 kB]
Get:204 http://172.17.0.1/private buster-staging/main armhf libmono-system-numerics-vectors4.0-cil all 5.18.0.240+dfsg-3 [38.3 kB]
Get:205 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-interfaces2.2-cil all 5.18.0.240+dfsg-3 [38.2 kB]
Get:206 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-core2.2-cil all 5.18.0.240+dfsg-3 [69.6 kB]
Get:207 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-linq2.2-cil all 5.18.0.240+dfsg-3 [182 kB]
Get:208 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-debugger2.2-cil all 5.18.0.240+dfsg-3 [37.3 kB]
Get:209 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-experimental2.2-cil all 5.18.0.240+dfsg-3 [45.6 kB]
Get:210 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-providers2.2-cil all 5.18.0.240+dfsg-3 [74.5 kB]
Get:211 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-observable-aliases0.0-cil all 5.18.0.240+dfsg-3 [38.1 kB]
Get:212 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-platformservices2.2-cil all 5.18.0.240+dfsg-3 [44.7 kB]
Get:213 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-runtime-remoting2.2-cil all 5.18.0.240+dfsg-3 [39.1 kB]
Get:214 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-windows-forms2.2-cil all 5.18.0.240+dfsg-3 [39.1 kB]
Get:215 http://172.17.0.1/private buster-staging/main armhf libmono-system-xaml4.0-cil all 5.18.0.240+dfsg-3 [97.4 kB]
Get:216 http://172.17.0.1/private buster-staging/main armhf libmono-windowsbase4.0-cil all 5.18.0.240+dfsg-3 [87.6 kB]
Get:217 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-windows-threading2.2-cil all 5.18.0.240+dfsg-3 [40.5 kB]
Get:218 http://172.17.0.1/private buster-staging/main armhf libmono-system-reflection-context4.0-cil all 5.18.0.240+dfsg-3 [38.6 kB]
Get:219 http://172.17.0.1/private buster-staging/main armhf libmono-system-runtime-caching4.0-cil all 5.18.0.240+dfsg-3 [61.8 kB]
Get:220 http://172.17.0.1/private buster-staging/main armhf libmono-system-runtime-durableinstancing4.0-cil all 5.18.0.240+dfsg-3 [69.5 kB]
Get:221 http://172.17.0.1/private buster-staging/main armhf libmono-system-servicemodel-discovery4.0-cil all 5.18.0.240+dfsg-3 [76.1 kB]
Get:222 http://172.17.0.1/private buster-staging/main armhf libmono-system-servicemodel-routing4.0-cil all 5.18.0.240+dfsg-3 [46.4 kB]
Get:223 http://172.17.0.1/private buster-staging/main armhf libmono-system-threading-tasks-dataflow4.0-cil all 5.18.0.240+dfsg-3 [92.5 kB]
Get:224 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-abstractions4.0-cil all 5.18.0.240+dfsg-3 [38.3 kB]
Get:225 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-dynamicdata4.0-cil all 5.18.0.240+dfsg-3 [59.9 kB]
Get:226 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-extensions-design4.0-cil all 5.18.0.240+dfsg-3 [39.4 kB]
Get:227 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-http4.0-cil all 5.18.0.240+dfsg-3 [145 kB]
Get:228 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-http-selfhost4.0-cil all 5.18.0.240+dfsg-3 [67.4 kB]
Get:229 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-http-webhost4.0-cil all 5.18.0.240+dfsg-3 [57.6 kB]
Get:230 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-mobile4.0-cil all 5.18.0.240+dfsg-3 [38.0 kB]
Get:231 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-razor2.0-cil all 5.18.0.240+dfsg-3 [119 kB]
Get:232 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-webpages-deployment2.0-cil all 5.18.0.240+dfsg-3 [49.2 kB]
Get:233 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-webpages2.0-cil all 5.18.0.240+dfsg-3 [102 kB]
Get:234 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-webpages-razor2.0-cil all 5.18.0.240+dfsg-3 [48.7 kB]
Get:235 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-mvc3.0-cil all 5.18.0.240+dfsg-3 [165 kB]
Get:236 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-regularexpressions4.0-cil all 5.18.0.240+dfsg-3 [38.0 kB]
Get:237 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-routing4.0-cil all 5.18.0.240+dfsg-3 [38.3 kB]
Get:238 http://172.17.0.1/private buster-staging/main armhf libmono-system-windows4.0-cil all 5.18.0.240+dfsg-3 [38.0 kB]
Get:239 http://172.17.0.1/private buster-staging/main armhf libmono-system-windows-forms-datavisualization4.0a-cil all 5.18.0.240+dfsg-3 [72.5 kB]
Get:240 http://172.17.0.1/private buster-staging/main armhf libmono-system-workflow-activities4.0-cil all 5.18.0.240+dfsg-3 [38.0 kB]
Get:241 http://172.17.0.1/private buster-staging/main armhf libmono-system-workflow-componentmodel4.0-cil all 5.18.0.240+dfsg-3 [38.0 kB]
Get:242 http://172.17.0.1/private buster-staging/main armhf libmono-system-workflow-runtime4.0-cil all 5.18.0.240+dfsg-3 [38.0 kB]
Get:243 http://172.17.0.1/private buster-staging/main armhf libmono-system-xml-serialization4.0-cil all 5.18.0.240+dfsg-3 [37.9 kB]
Get:244 http://172.17.0.1/private buster-staging/main armhf libmono-tasklets4.0-cil all 5.18.0.240+dfsg-3 [38.3 kB]
Get:245 http://172.17.0.1/private buster-staging/main armhf libmono-webmatrix-data4.0-cil all 5.18.0.240+dfsg-3 [41.1 kB]
Get:246 http://172.17.0.1/private buster-staging/main armhf libnunit-core-interfaces2.6.3-cil all 2.6.4+dfsg-1 [24.4 kB]
Get:247 http://172.17.0.1/private buster-staging/main armhf libnunit-core2.6.3-cil all 2.6.4+dfsg-1 [56.5 kB]
Get:248 http://172.17.0.1/private buster-staging/main armhf libnunit-util2.6.3-cil all 2.6.4+dfsg-1 [49.4 kB]
Get:249 http://172.17.0.1/private buster-staging/main armhf libnunit-console-runner2.6.3-cil all 2.6.4+dfsg-1 [17.3 kB]
Get:250 http://172.17.0.1/private buster-staging/main armhf libnunit-framework2.6.3-cil all 2.6.4+dfsg-1 [47.6 kB]
Get:251 http://172.17.0.1/private buster-staging/main armhf libnunit-mocks2.6.3-cil all 2.6.4+dfsg-1 [11.6 kB]
Get:252 http://172.17.0.1/private buster-staging/main armhf libnunit-cil-dev all 2.6.4+dfsg-1 [6060 B]
Get:253 http://172.17.0.1/private buster-staging/main armhf libmono-cil-dev all 5.18.0.240+dfsg-3 [37.8 kB]
Get:254 http://172.17.0.1/private buster-staging/main armhf libmonosgen-2.0-1 armhf 5.18.0.240+dfsg-3 [1373 kB]
Get:255 http://172.17.0.1/private buster-staging/main armhf libmonosgen-2.0-dev armhf 5.18.0.240+dfsg-3 [1664 kB]
Get:256 http://172.17.0.1/private buster-staging/main armhf libmono-2.0-dev armhf 5.18.0.240+dfsg-3 [70.5 kB]
Get:257 http://172.17.0.1/private buster-staging/main armhf pkg-config armhf 0.29-6 [59.8 kB]
Get:258 http://172.17.0.1/private buster-staging/main armhf mono-devel all 5.18.0.240+dfsg-3 [21.6 MB]
Get:259 http://172.17.0.1/private buster-staging/main armhf libencode-locale-perl all 1.05-1 [13.7 kB]
Get:260 http://172.17.0.1/private buster-staging/main armhf libtimedate-perl all 2.3000-2 [42.2 kB]
Get:261 http://172.17.0.1/private buster-staging/main armhf libhttp-date-perl all 6.02-1 [10.7 kB]
Get:262 http://172.17.0.1/private buster-staging/main armhf libfile-listing-perl all 6.04-1 [10.3 kB]
Get:263 http://172.17.0.1/private buster-staging/main armhf libhtml-tagset-perl all 3.20-3 [12.7 kB]
Get:264 http://172.17.0.1/private buster-staging/main armhf liburi-perl all 1.76-1 [89.9 kB]
Get:265 http://172.17.0.1/private buster-staging/main armhf libhtml-parser-perl armhf 3.72-3+b2 [101 kB]
Get:266 http://172.17.0.1/private buster-staging/main armhf libhtml-tree-perl all 5.07-2 [213 kB]
Get:267 http://172.17.0.1/private buster-staging/main armhf libio-html-perl all 1.001-1 [17.6 kB]
Get:268 http://172.17.0.1/private buster-staging/main armhf liblwp-mediatypes-perl all 6.02-1 [22.1 kB]
Get:269 http://172.17.0.1/private buster-staging/main armhf libhttp-message-perl all 6.18-1 [77.8 kB]
Get:270 http://172.17.0.1/private buster-staging/main armhf libhttp-cookies-perl all 6.04-1 [17.8 kB]
Get:271 http://172.17.0.1/private buster-staging/main armhf libhttp-negotiate-perl all 6.01-1 [12.8 kB]
Get:272 http://172.17.0.1/private buster-staging/main armhf perl-openssl-defaults armhf 3 [6782 B]
Get:273 http://172.17.0.1/private buster-staging/main armhf libnet-ssleay-perl armhf 1.85-2+b1 [286 kB]
Get:274 http://172.17.0.1/private buster-staging/main armhf libio-socket-ssl-perl all 2.060-3 [207 kB]
Get:275 http://172.17.0.1/private buster-staging/main armhf libnet-http-perl all 6.18-1 [24.5 kB]
Get:276 http://172.17.0.1/private buster-staging/main armhf liblwp-protocol-https-perl all 6.07-2 [9242 B]
Get:277 http://172.17.0.1/private buster-staging/main armhf libtry-tiny-perl all 0.30-1 [23.3 kB]
Get:278 http://172.17.0.1/private buster-staging/main armhf libwww-robotrules-perl all 6.02-1 [12.9 kB]
Get:279 http://172.17.0.1/private buster-staging/main armhf libwww-perl all 6.36-2 [188 kB]
Get:280 http://172.17.0.1/private buster-staging/main armhf libxml-parser-perl armhf 2.44-4 [209 kB]
Get:281 http://172.17.0.1/private buster-staging/main armhf libxml-perl all 0.08-3 [93.3 kB]
Get:282 http://172.17.0.1/private buster-staging/main armhf libxml-regexp-perl all 0.04-1 [8370 B]
Get:283 http://172.17.0.1/private buster-staging/main armhf libxml-dom-perl all 1.44-2 [179 kB]
Get:284 http://172.17.0.1/private buster-staging/main armhf cli-common-dev all 0.10 [44.3 kB]
Get:285 http://172.17.0.1/private buster-staging/main armhf dctrl-tools armhf 2.24-3 [94.2 kB]
Get:286 http://172.17.0.1/private buster-staging/main armhf libgtk2.0-common all 2.24.32-3 [2698 kB]
Get:287 http://172.17.0.1/private buster-staging/main armhf libatk1.0-data all 2.30.0-2 [145 kB]
Get:288 http://172.17.0.1/private buster-staging/main armhf libatk1.0-0 armhf 2.30.0-2 [42.7 kB]
Get:289 http://172.17.0.1/private buster-staging/main armhf libxcursor1 armhf 1:1.1.15-2 [33.5 kB]
Get:290 http://172.17.0.1/private buster-staging/main armhf libxinerama1 armhf 2:1.1.4-2 [17.3 kB]
Get:291 http://172.17.0.1/private buster-staging/main armhf libgtk2.0-0 armhf 2.24.32-3 [1501 kB]
Get:292 http://172.17.0.1/private buster-staging/main armhf libglvnd0 armhf 1.1.0-1 [54.5 kB]
Get:293 http://172.17.0.1/private buster-staging/main armhf libglapi-mesa armhf 18.3.6-2 [74.0 kB]
Get:294 http://172.17.0.1/private buster-staging/main armhf libx11-xcb1 armhf 2:1.6.7-1 [190 kB]
Get:295 http://172.17.0.1/private buster-staging/main armhf libxcb-dri2-0 armhf 1.13.1-2 [100 kB]
Get:296 http://172.17.0.1/private buster-staging/main armhf libxcb-dri3-0 armhf 1.13.1-2 [100 kB]
Get:297 http://172.17.0.1/private buster-staging/main armhf libxcb-glx0 armhf 1.13.1-2 [114 kB]
Get:298 http://172.17.0.1/private buster-staging/main armhf libxcb-present0 armhf 1.13.1-2 [99.1 kB]
Get:299 http://172.17.0.1/private buster-staging/main armhf libxcb-sync1 armhf 1.13.1-2 [102 kB]
Get:300 http://172.17.0.1/private buster-staging/main armhf libxshmfence1 armhf 1.3-1 [8636 B]
Get:301 http://172.17.0.1/private buster-staging/main armhf libdrm-amdgpu1 armhf 2.4.97-1+rpi1 [26.1 kB]
Get:302 http://172.17.0.1/private buster-staging/main armhf libdrm-etnaviv1 armhf 2.4.97-1+rpi1 [20.0 kB]
Get:303 http://172.17.0.1/private buster-staging/main armhf libdrm-nouveau2 armhf 2.4.97-1+rpi1 [24.4 kB]
Get:304 http://172.17.0.1/private buster-staging/main armhf libdrm-radeon1 armhf 2.4.97-1+rpi1 [28.6 kB]
Get:305 http://172.17.0.1/private buster-staging/main armhf libedit2 armhf 3.1-20181209-1 [78.7 kB]
Get:306 http://172.17.0.1/private buster-staging/main armhf libllvm7 armhf 1:7.0.1-8+rpi2 [11.4 MB]
Get:307 http://172.17.0.1/private buster-staging/main armhf libsensors-config all 1:3.5.0-3 [31.6 kB]
Get:308 http://172.17.0.1/private buster-staging/main armhf libsensors5 armhf 1:3.5.0-3 [49.5 kB]
Get:309 http://172.17.0.1/private buster-staging/main armhf libgl1-mesa-dri armhf 18.3.6-2 [4061 kB]
Get:310 http://172.17.0.1/private buster-staging/main armhf libglx-mesa0 armhf 18.3.6-2 [164 kB]
Get:311 http://172.17.0.1/private buster-staging/main armhf libglx0 armhf 1.1.0-1 [24.6 kB]
Get:312 http://172.17.0.1/private buster-staging/main armhf libgl1 armhf 1.1.0-1 [107 kB]
Get:313 http://172.17.0.1/private buster-staging/main armhf libgl1-mesa-glx armhf 18.3.6-2 [47.3 kB]
Get:314 http://172.17.0.1/private buster-staging/main armhf openjdk-11-jre armhf 11.0.3+7-5 [30.6 kB]
Get:315 http://172.17.0.1/private buster-staging/main armhf default-jre armhf 2:1.11-71+b1 [1044 B]
Get:316 http://172.17.0.1/private buster-staging/main armhf openjdk-11-jdk-headless armhf 11.0.3+7-5 [177 MB]
Get:317 http://172.17.0.1/private buster-staging/main armhf default-jdk-headless armhf 2:1.11-71+b1 [1108 B]
Get:318 http://172.17.0.1/private buster-staging/main armhf openjdk-11-jdk armhf 11.0.3+7-5 [1894 kB]
Get:319 http://172.17.0.1/private buster-staging/main armhf default-jdk armhf 2:1.11-71+b1 [1060 B]
Get:320 http://172.17.0.1/private buster-staging/main armhf libfile-which-perl all 1.23-1 [16.6 kB]
Get:321 http://172.17.0.1/private buster-staging/main armhf libfile-homedir-perl all 1.004-1 [42.7 kB]
Get:322 http://172.17.0.1/private buster-staging/main armhf libio-pty-perl armhf 1:1.08-1.1+b4 [33.0 kB]
Get:323 http://172.17.0.1/private buster-staging/main armhf libipc-run-perl all 20180523.0-1 [101 kB]
Get:324 http://172.17.0.1/private buster-staging/main armhf libclass-method-modifiers-perl all 2.12-1 [18.6 kB]
Get:325 http://172.17.0.1/private buster-staging/main armhf libsub-exporter-progressive-perl all 0.001013-1 [7588 B]
Get:326 http://172.17.0.1/private buster-staging/main armhf libdevel-globaldestruction-perl all 0.14-1 [8084 B]
Get:327 http://172.17.0.1/private buster-staging/main armhf libb-hooks-op-check-perl armhf 0.22-1+b1 [11.1 kB]
Get:328 http://172.17.0.1/private buster-staging/main armhf libdynaloader-functions-perl all 0.003-1 [12.6 kB]
Get:329 http://172.17.0.1/private buster-staging/main armhf libdevel-callchecker-perl armhf 0.008-1 [15.5 kB]
Get:330 http://172.17.0.1/private buster-staging/main armhf libparams-classify-perl armhf 0.015-1+b1 [24.3 kB]
Get:331 http://172.17.0.1/private buster-staging/main armhf libmodule-runtime-perl all 0.016-1 [19.4 kB]
Get:332 http://172.17.0.1/private buster-staging/main armhf libimport-into-perl all 1.002005-1 [11.6 kB]
Get:333 http://172.17.0.1/private buster-staging/main armhf librole-tiny-perl all 2.000006-1 [19.4 kB]
Get:334 http://172.17.0.1/private buster-staging/main armhf libstrictures-perl all 2.000005-1 [18.3 kB]
Get:335 http://172.17.0.1/private buster-staging/main armhf libsub-quote-perl all 2.005001-1 [17.9 kB]
Get:336 http://172.17.0.1/private buster-staging/main armhf libmoo-perl all 2.003004-2 [57.4 kB]
Get:337 http://172.17.0.1/private buster-staging/main armhf patchutils armhf 0.3.4-2 [83.1 kB]
Get:338 http://172.17.0.1/private buster-staging/main armhf wdiff armhf 1.2.2-2 [120 kB]
Get:339 http://172.17.0.1/private buster-staging/main armhf devscripts armhf 2.19.5 [1045 kB]
Get:340 http://172.17.0.1/private buster-staging/main armhf dh-ocaml all 1.1.0 [83.3 kB]
Get:341 http://172.17.0.1/private buster-staging/main armhf python3-lib2to3 all 3.7.3-1 [76.7 kB]
Get:342 http://172.17.0.1/private buster-staging/main armhf python3-distutils all 3.7.3-1 [142 kB]
Get:343 http://172.17.0.1/private buster-staging/main armhf dh-python all 3.20190308 [99.3 kB]
Get:344 http://172.17.0.1/private buster-staging/main armhf javahelper all 0.72.9 [96.4 kB]
Get:345 http://172.17.0.1/private buster-staging/main armhf libncurses-dev armhf 6.1+20181013-2 [278 kB]
Get:346 http://172.17.0.1/private buster-staging/main armhf libncurses5-dev armhf 6.1+20181013-2 [940 B]
Get:347 http://172.17.0.1/private buster-staging/main armhf ocaml-base-nox armhf 4.05.0-11+rpi1 [577 kB]
Get:348 http://172.17.0.1/private buster-staging/main armhf ocaml-interp armhf 4.05.0-11+rpi1 [3582 kB]
Get:349 http://172.17.0.1/private buster-staging/main armhf ocaml-nox armhf 4.05.0-11+rpi1 [25.1 MB]
Get:350 http://172.17.0.1/private buster-staging/main armhf ocaml-compiler-libs armhf 4.05.0-11+rpi1 [19.2 MB]
debconf: delaying package configuration, since apt-utils is not installed
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Setting up python2.7-minimal (2.7.16-2) ...
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No diversion 'diversion of /usr/sbin/update-icon-caches to /usr/sbin/update-icon-caches.gtk2 by libgtk-3-bin', none removed.
No diversion 'diversion of /usr/share/man/man8/update-icon-caches.8.gz to /usr/share/man/man8/update-icon-caches.gtk2.8.gz by libgtk-3-bin', none removed.
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update-alternatives: using /usr/lib/jvm/java-11-openjdk-armhf/bin/jhsdb to provide /usr/bin/jhsdb (jhsdb) in auto mode
Setting up default-jre (2:1.11-71+b1) ...
Setting up ocaml-interp (4.05.0-11+rpi1) ...
Setting up default-jdk-headless (2:1.11-71+b1) ...
Setting up devscripts (2.19.5) ...
Setting up libmono-system-security4.0-cil (5.18.0.240+dfsg-3) ...
Setting up ocaml-nox (4.05.0-11+rpi1) ...
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Setting up openjdk-11-jdk:armhf (11.0.3+7-5) ...
update-alternatives: using /usr/lib/jvm/java-11-openjdk-armhf/bin/jconsole to provide /usr/bin/jconsole (jconsole) in auto mode
Setting up libmono-system-workflow-componentmodel4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-cairo4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-microsoft-build-framework4.0-cil (5.18.0.240+dfsg-3) ...
Setting up javahelper (0.72.9) ...
Setting up ca-certificates-java (20190405) ...
head: cannot open '/etc/ssl/certs/java/cacerts' for reading: No such file or directory
Adding debian:ACCVRAIZ1.pem
Adding debian:Actalis_Authentication_Root_CA.pem
Adding debian:AddTrust_External_Root.pem
Adding debian:AffirmTrust_Commercial.pem
Adding debian:AffirmTrust_Networking.pem
Adding debian:AffirmTrust_Premium.pem
Adding debian:AffirmTrust_Premium_ECC.pem
Adding debian:Atos_TrustedRoot_2011.pem
Adding debian:Autoridad_de_Certificacion_Firmaprofesional_CIF_A62634068.pem
Adding debian:Baltimore_CyberTrust_Root.pem
Adding debian:Buypass_Class_2_Root_CA.pem
Adding debian:Buypass_Class_3_Root_CA.pem
Adding debian:CA_Disig_Root_R2.pem
Adding debian:CFCA_EV_ROOT.pem
Adding debian:COMODO_Certification_Authority.pem
Adding debian:COMODO_ECC_Certification_Authority.pem
Adding debian:COMODO_RSA_Certification_Authority.pem
Adding debian:Certigna.pem
Adding debian:Certinomis_-_Root_CA.pem
Adding debian:Certplus_Class_2_Primary_CA.pem
Adding debian:Certum_Trusted_Network_CA.pem
Adding debian:Certum_Trusted_Network_CA_2.pem
Adding debian:Chambers_of_Commerce_Root_-_2008.pem
Adding debian:Comodo_AAA_Services_root.pem
Adding debian:Cybertrust_Global_Root.pem
Adding debian:D-TRUST_Root_Class_3_CA_2_2009.pem
Adding debian:D-TRUST_Root_Class_3_CA_2_EV_2009.pem
Adding debian:DST_Root_CA_X3.pem
Adding debian:Deutsche_Telekom_Root_CA_2.pem
Adding debian:DigiCert_Assured_ID_Root_CA.pem
Adding debian:DigiCert_Assured_ID_Root_G2.pem
Adding debian:DigiCert_Assured_ID_Root_G3.pem
Adding debian:DigiCert_Global_Root_CA.pem
Adding debian:DigiCert_Global_Root_G2.pem
Adding debian:DigiCert_Global_Root_G3.pem
Adding debian:DigiCert_High_Assurance_EV_Root_CA.pem
Adding debian:DigiCert_Trusted_Root_G4.pem
Adding debian:E-Tugra_Certification_Authority.pem
Adding debian:EC-ACC.pem
Adding debian:EE_Certification_Centre_Root_CA.pem
Adding debian:Entrust.net_Premium_2048_Secure_Server_CA.pem
Adding debian:Entrust_Root_Certification_Authority.pem
Adding debian:Entrust_Root_Certification_Authority_-_EC1.pem
Adding debian:Entrust_Root_Certification_Authority_-_G2.pem
Adding debian:GeoTrust_Global_CA.pem
Adding debian:GeoTrust_Primary_Certification_Authority.pem
Adding debian:GeoTrust_Primary_Certification_Authority_-_G2.pem
Adding debian:GeoTrust_Primary_Certification_Authority_-_G3.pem
Adding debian:GeoTrust_Universal_CA.pem
Adding debian:GeoTrust_Universal_CA_2.pem
Adding debian:GlobalSign_ECC_Root_CA_-_R4.pem
Adding debian:GlobalSign_ECC_Root_CA_-_R5.pem
Adding debian:GlobalSign_Root_CA.pem
Adding debian:GlobalSign_Root_CA_-_R2.pem
Adding debian:GlobalSign_Root_CA_-_R3.pem
Adding debian:Global_Chambersign_Root_-_2008.pem
Adding debian:Go_Daddy_Class_2_CA.pem
Adding debian:Go_Daddy_Root_Certificate_Authority_-_G2.pem
Adding debian:Hellenic_Academic_and_Research_Institutions_ECC_RootCA_2015.pem
Adding debian:Hellenic_Academic_and_Research_Institutions_RootCA_2011.pem
Adding debian:Hellenic_Academic_and_Research_Institutions_RootCA_2015.pem
Adding debian:Hongkong_Post_Root_CA_1.pem
Adding debian:ISRG_Root_X1.pem
Adding debian:IdenTrust_Commercial_Root_CA_1.pem
Adding debian:IdenTrust_Public_Sector_Root_CA_1.pem
Adding debian:Izenpe.com.pem
Adding debian:Microsec_e-Szigno_Root_CA_2009.pem
Adding debian:NetLock_Arany_=Class_Gold=_Főtanúsítvány.pem
Adding debian:Network_Solutions_Certificate_Authority.pem
Adding debian:OISTE_WISeKey_Global_Root_GA_CA.pem
Adding debian:OISTE_WISeKey_Global_Root_GB_CA.pem
Adding debian:QuoVadis_Root_CA.pem
Adding debian:QuoVadis_Root_CA_1_G3.pem
Adding debian:QuoVadis_Root_CA_2.pem
Adding debian:QuoVadis_Root_CA_2_G3.pem
Adding debian:QuoVadis_Root_CA_3.pem
Adding debian:QuoVadis_Root_CA_3_G3.pem
Adding debian:SZAFIR_ROOT_CA2.pem
Adding debian:SecureSign_RootCA11.pem
Adding debian:SecureTrust_CA.pem
Adding debian:Secure_Global_CA.pem
Adding debian:Security_Communication_RootCA2.pem
Adding debian:Security_Communication_Root_CA.pem
Adding debian:Sonera_Class_2_Root_CA.pem
Adding debian:Staat_der_Nederlanden_EV_Root_CA.pem
Adding debian:Staat_der_Nederlanden_Root_CA_-_G2.pem
Adding debian:Staat_der_Nederlanden_Root_CA_-_G3.pem
Adding debian:Starfield_Class_2_CA.pem
Adding debian:Starfield_Root_Certificate_Authority_-_G2.pem
Adding debian:Starfield_Services_Root_Certificate_Authority_-_G2.pem
Adding debian:SwissSign_Gold_CA_-_G2.pem
Adding debian:SwissSign_Silver_CA_-_G2.pem
Adding debian:T-TeleSec_GlobalRoot_Class_2.pem
Adding debian:T-TeleSec_GlobalRoot_Class_3.pem
Adding debian:TWCA_Global_Root_CA.pem
Adding debian:TWCA_Root_Certification_Authority.pem
Adding debian:Taiwan_GRCA.pem
Adding debian:TeliaSonera_Root_CA_v1.pem
Adding debian:Trustis_FPS_Root_CA.pem
Adding debian:USERTrust_ECC_Certification_Authority.pem
Adding debian:USERTrust_RSA_Certification_Authority.pem
Adding debian:VeriSign_Class_3_Public_Primary_Certification_Authority_-_G4.pem
Adding debian:VeriSign_Class_3_Public_Primary_Certification_Authority_-_G5.pem
Adding debian:VeriSign_Universal_Root_Certification_Authority.pem
Adding debian:Verisign_Class_3_Public_Primary_Certification_Authority_-_G3.pem
Adding debian:XRamp_Global_CA_Root.pem
Adding debian:certSIGN_ROOT_CA.pem
Adding debian:ePKI_Root_Certification_Authority.pem
Adding debian:thawte_Primary_Root_CA.pem
Adding debian:thawte_Primary_Root_CA_-_G2.pem
Adding debian:thawte_Primary_Root_CA_-_G3.pem
Adding debian:AC_RAIZ_FNMT-RCM.pem
Adding debian:Amazon_Root_CA_1.pem
Adding debian:Amazon_Root_CA_2.pem
Adding debian:Amazon_Root_CA_3.pem
Adding debian:Amazon_Root_CA_4.pem
Adding debian:LuxTrust_Global_Root_2.pem
Adding debian:TUBITAK_Kamu_SM_SSL_Kok_Sertifikasi_-_Surum_1.pem
Adding debian:GDCA_TrustAUTH_R5_ROOT.pem
Adding debian:GlobalSign_Root_CA_-_R6.pem
Adding debian:OISTE_WISeKey_Global_Root_GC_CA.pem
Adding debian:SSL.com_EV_Root_Certification_Authority_ECC.pem
Adding debian:SSL.com_EV_Root_Certification_Authority_RSA_R2.pem
Adding debian:SSL.com_Root_Certification_Authority_ECC.pem
Adding debian:SSL.com_Root_Certification_Authority_RSA.pem
Adding debian:TrustCor_ECA-1.pem
Adding debian:TrustCor_RootCert_CA-1.pem
Adding debian:TrustCor_RootCert_CA-2.pem
done.
Setting up mono-4.0-gac (5.18.0.240+dfsg-3) ...
Setting up libmono-accessibility4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-configuration4.0-cil (5.18.0.240+dfsg-3) ...
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Setting up libmono-system-numerics-vectors4.0-cil (5.18.0.240+dfsg-3) ...
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Setting up libmono-system-workflow-runtime4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-web-regularexpressions4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-microsoft-visualc10.0-cil (5.18.0.240+dfsg-3) ...
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Setting up libmono-system-reflection-context4.0-cil (5.18.0.240+dfsg-3) ...
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update-alternatives: using /usr/bin/monodis to provide /usr/bin/cli-ildasm (cil-disassembler) in auto mode
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Setting up libmono-ldap4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libnunit-core-interfaces2.6.3-cil (2.6.4+dfsg-1) ...
* Installing 1 assembly from libnunit-core-interfaces2.6.3-cil into Mono
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Setting up libmono-system-net-http4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-io-compression4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-xaml4.0-cil (5.18.0.240+dfsg-3) ...
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Setting up libmono-webbrowser4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-json4.0-cil (5.18.0.240+dfsg-3) ...
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Setting up libmono-csharp4.0c-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-web-razor2.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-drawing4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-sharpzip4.84-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-data-services-client4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-microsoft-csharp4.0-cil (5.18.0.240+dfsg-3) ...
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* Installing 1 assembly from libnunit-framework2.6.3-cil into Mono
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Setting up libmono-system-componentmodel-dataannotations4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-cscompmgd0.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-compilerservices-symbolwriter4.0-cil (5.18.0.240+dfsg-3) ...
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Setting up libmono-system-net4.0-cil (5.18.0.240+dfsg-3) ...
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* Installing 1 assembly from libnunit-mocks2.6.3-cil into Mono
Setting up libmono-system-data4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-ldap-protocols4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-web-applicationservices4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libnunit-core2.6.3-cil (2.6.4+dfsg-1) ...
* Installing 1 assembly from libnunit-core2.6.3-cil into Mono
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Setting up libmono-system-componentmodel-composition4.0-cil (5.18.0.240+dfsg-3) ...
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Setting up libmono-system-ldap4.0-cil (5.18.0.240+dfsg-3) ...
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Setting up libmono-system-data-datasetextensions4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-microsoft-build-utilities-v4.0-4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-runtime-caching4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-reactive-linq2.2-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-oracle4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-reactive-debugger2.2-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-windowsbase4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-microsoft-build-engine4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-net-http-webrequest4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-reactive-windows-threading2.2-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-webmatrix-data4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-sqlite4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-reactive-runtime-remoting2.2-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-smdiagnostics0.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-debugger-soft4.0a-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-runtime-serialization4.0-cil (5.18.0.240+dfsg-3) ...
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Setting up libmono-codecontracts4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-data-entity4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-reactive-platformservices2.2-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-windows-forms4.0-cil (5.18.0.240+dfsg-3) ...
Setting up mono-mcs (5.18.0.240+dfsg-3) ...
Setting up libmono-system-design4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-reactive-experimental2.2-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-identitymodel4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-db2-1.0-cil (5.18.0.240+dfsg-3) ...
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Setting up libmono-system-reactive-providers2.2-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-serviceprocess4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-windows-forms-datavisualization4.0a-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-reactive-observable-aliases0.0-cil (5.18.0.240+dfsg-3) ...
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Setting up libmono-messaging-rabbitmq4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-drawing-design4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-json-microsoft4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-reactive-windows-forms2.2-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-microsoft-build-tasks-v4.0-4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-runtime-durableinstancing4.0-cil (5.18.0.240+dfsg-3) ...
Setting up mono-xbuild (5.18.0.240+dfsg-3) ...
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Setting up libmono-system-web-extensions-design4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-web-services4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-identitymodel-selectors4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-web-http4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-web4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-servicemodel4.0a-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-web-abstractions4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-xml-serialization4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-microsoft-web-infrastructure1.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-servicemodel-routing4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-servicemodel-discovery4.0-cil (5.18.0.240+dfsg-3) ...
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Setting up libmono-system-web-http-webhost4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-web-extensions4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-servicemodel-web4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-http4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-web-routing4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-web-dynamicdata4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libnunit-util2.6.3-cil (2.6.4+dfsg-1) ...
* Installing 1 assembly from libnunit-util2.6.3-cil into Mono
Setting up libmono-system-web-webpages2.0-cil (5.18.0.240+dfsg-3) ...
Setting up libnunit-console-runner2.6.3-cil (2.6.4+dfsg-1) ...
* Installing 1 assembly from libnunit-console-runner2.6.3-cil into Mono
Setting up libmono-system-data-services4.0-cil (5.18.0.240+dfsg-3) ...
Setting up libnunit-cil-dev (2.6.4+dfsg-1) ...
Setting up libmono-system-web-webpages-razor2.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-system-web-mvc3.0-cil (5.18.0.240+dfsg-3) ...
Setting up libmono-cil-dev (5.18.0.240+dfsg-3) ...
Setting up mono-devel (5.18.0.240+dfsg-3) ...
update-alternatives: using /usr/bin/mono-csc to provide /usr/bin/cli-csc (c-sharp-compiler) in auto mode
update-alternatives: using /usr/bin/resgen to provide /usr/bin/cli-resgen (resource-file-generator) in auto mode
update-alternatives: using /usr/bin/al to provide /usr/bin/cli-al (assembly-linker) in auto mode
update-alternatives: using /usr/bin/sn to provide /usr/bin/cli-sn (strong-name-tool) in auto mode
Setting up cli-common-dev (0.10) ...
Setting up sbuild-build-depends-z3-dummy (0.invalid.0) ...
Processing triggers for libc-bin (2.28-10+rpi1) ...
Processing triggers for systemd (241-5+rpi1) ...
Processing triggers for ca-certificates (20190110) ...
Updating certificates in /etc/ssl/certs...
0 added, 0 removed; done.
Running hooks in /etc/ca-certificates/update.d...

done.
done.
Processing triggers for libgdk-pixbuf2.0-0:armhf (2.38.1+dfsg-1) ...
W: No sandbox user '_apt' on the system, can not drop privileges

+------------------------------------------------------------------------------+
| Build environment                                                            |
+------------------------------------------------------------------------------+

Kernel: Linux 4.9.0-0.bpo.6-armmp armhf (armv7l)
Toolchain package versions: binutils_2.31.1-16+rpi1 dpkg-dev_1.19.7 g++-8_8.3.0-6+rpi1 gcc-8_8.3.0-6+rpi1 libc6-dev_2.28-10+rpi1 libstdc++-8-dev_8.3.0-6+rpi1 libstdc++6_8.3.0-6+rpi1 linux-libc-dev_4.18.20-2+rpi1
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libmono-system-runtime-caching4.0-cil_5.18.0.240+dfsg-3 libmono-system-runtime-durableinstancing4.0-cil_5.18.0.240+dfsg-3 libmono-system-runtime-serialization-formatters-soap4.0-cil_5.18.0.240+dfsg-3 libmono-system-runtime-serialization4.0-cil_5.18.0.240+dfsg-3 libmono-system-runtime4.0-cil_5.18.0.240+dfsg-3 libmono-system-security4.0-cil_5.18.0.240+dfsg-3 libmono-system-servicemodel-activation4.0-cil_5.18.0.240+dfsg-3 libmono-system-servicemodel-discovery4.0-cil_5.18.0.240+dfsg-3 libmono-system-servicemodel-internals0.0-cil_5.18.0.240+dfsg-3 libmono-system-servicemodel-routing4.0-cil_5.18.0.240+dfsg-3 libmono-system-servicemodel-web4.0-cil_5.18.0.240+dfsg-3 libmono-system-servicemodel4.0a-cil_5.18.0.240+dfsg-3 libmono-system-serviceprocess4.0-cil_5.18.0.240+dfsg-3 libmono-system-threading-tasks-dataflow4.0-cil_5.18.0.240+dfsg-3 libmono-system-transactions4.0-cil_5.18.0.240+dfsg-3 libmono-system-web-abstractions4.0-cil_5.18.0.240+dfsg-3 libmono-system-web-applicationservices4.0-cil_5.18.0.240+dfsg-3 libmono-system-web-dynamicdata4.0-cil_5.18.0.240+dfsg-3 libmono-system-web-extensions-design4.0-cil_5.18.0.240+dfsg-3 libmono-system-web-extensions4.0-cil_5.18.0.240+dfsg-3 libmono-system-web-http-selfhost4.0-cil_5.18.0.240+dfsg-3 libmono-system-web-http-webhost4.0-cil_5.18.0.240+dfsg-3 libmono-system-web-http4.0-cil_5.18.0.240+dfsg-3 libmono-system-web-mobile4.0-cil_5.18.0.240+dfsg-3 libmono-system-web-mvc3.0-cil_5.18.0.240+dfsg-3 libmono-system-web-razor2.0-cil_5.18.0.240+dfsg-3 libmono-system-web-regularexpressions4.0-cil_5.18.0.240+dfsg-3 libmono-system-web-routing4.0-cil_5.18.0.240+dfsg-3 libmono-system-web-services4.0-cil_5.18.0.240+dfsg-3 libmono-system-web-webpages-deployment2.0-cil_5.18.0.240+dfsg-3 libmono-system-web-webpages-razor2.0-cil_5.18.0.240+dfsg-3 libmono-system-web-webpages2.0-cil_5.18.0.240+dfsg-3 libmono-system-web4.0-cil_5.18.0.240+dfsg-3 libmono-system-windows-forms-datavisualization4.0a-cil_5.18.0.240+dfsg-3 libmono-system-windows-forms4.0-cil_5.18.0.240+dfsg-3 libmono-system-windows4.0-cil_5.18.0.240+dfsg-3 libmono-system-workflow-activities4.0-cil_5.18.0.240+dfsg-3 libmono-system-workflow-componentmodel4.0-cil_5.18.0.240+dfsg-3 libmono-system-workflow-runtime4.0-cil_5.18.0.240+dfsg-3 libmono-system-xaml4.0-cil_5.18.0.240+dfsg-3 libmono-system-xml-linq4.0-cil_5.18.0.240+dfsg-3 libmono-system-xml-serialization4.0-cil_5.18.0.240+dfsg-3 libmono-system-xml4.0-cil_5.18.0.240+dfsg-3 libmono-system4.0-cil_5.18.0.240+dfsg-3 libmono-tasklets4.0-cil_5.18.0.240+dfsg-3 libmono-webbrowser4.0-cil_5.18.0.240+dfsg-3 libmono-webmatrix-data4.0-cil_5.18.0.240+dfsg-3 libmono-windowsbase4.0-cil_5.18.0.240+dfsg-3 libmono-xbuild-tasks4.0-cil_5.18.0.240+dfsg-3 libmonoboehm-2.0-1_5.18.0.240+dfsg-3 libmonosgen-2.0-1_5.18.0.240+dfsg-3 libmonosgen-2.0-dev_5.18.0.240+dfsg-3 libmoo-perl_2.003004-2 libmount1_2.33.1-0.1 libmpc3_1.1.0-1 libmpdec2_2.4.2-2 libmpfr6_4.0.2-1 libncurses-dev_6.1+20181013-2 libncurses5_6.1+20181013-2 libncurses5-dev_6.1+20181013-2 libncurses6_6.1+20181013-2 libncursesw5_6.1+20181013-2 libncursesw6_6.1+20181013-2 libnet-http-perl_6.18-1 libnet-ssleay-perl_1.85-2+b1 libnettle6_3.4.1-1 libnpth0_1.6-1 libnspr4_2:4.20-1 libnss-systemd_241-5+rpi1 libnss3_2:3.42.1-1 libnunit-cil-dev_2.6.4+dfsg-1 libnunit-console-runner2.6.3-cil_2.6.4+dfsg-1 libnunit-core-interfaces2.6.3-cil_2.6.4+dfsg-1 libnunit-core2.6.3-cil_2.6.4+dfsg-1 libnunit-framework2.6.3-cil_2.6.4+dfsg-1 libnunit-mocks2.6.3-cil_2.6.4+dfsg-1 libnunit-util2.6.3-cil_2.6.4+dfsg-1 libp11-kit0_0.23.15-2 libpam-modules_1.3.1-5 libpam-modules-bin_1.3.1-5 libpam-runtime_1.3.1-5 libpam-systemd_241-5+rpi1 libpam0g_1.3.1-5 libpango-1.0-0_1.42.4-7~deb10u1 libpangocairo-1.0-0_1.42.4-7~deb10u1 libpangoft2-1.0-0_1.42.4-7~deb10u1 libparams-classify-perl_0.015-1+b1 libpcre3_2:8.39-12 libpcsclite1_1.8.24-1 libperl5.24_5.24.1-7 libperl5.28_5.28.1-6 libpipeline1_1.5.1-2 libpixman-1-0_0.36.0-1 libplymouth4_0.9.4-1.1 libpng16-16_1.6.36-6 libprocps7_2:3.3.15-2 libpython-stdlib_2.7.16-1 libpython2-stdlib_2.7.16-1 libpython2.7-minimal_2.7.16-2 libpython2.7-stdlib_2.7.16-2 libpython3-stdlib_3.7.3-1 libpython3.7-minimal_3.7.3-2 libpython3.7-stdlib_3.7.3-2 libreadline7_7.0-5 librole-tiny-perl_2.000006-1 librsvg2-2_2.44.10-2.1+rpi1 librsvg2-common_2.44.10-2.1+rpi1 libsasl2-2_2.1.27+dfsg-1+b1 libsasl2-modules-db_2.1.27+dfsg-1+b1 libseccomp2_2.3.3-4 libselinux1_2.8-1+b1 libsemanage-common_2.8-2 libsemanage1_2.8-2 libsensors-config_1:3.5.0-3 libsensors5_1:3.5.0-3 libsepol1_2.8-1 libsigsegv2_2.12-2 libsmartcols1_2.33.1-0.1 libsqlite3-0_3.27.2-3 libss2_1.44.5-1 libssl1.1_1.1.1c-1 libstdc++-8-dev_8.3.0-6+rpi1 libstdc++6_8.3.0-6+rpi1 libstrictures-perl_2.000005-1 libsub-exporter-progressive-perl_0.001013-1 libsub-quote-perl_2.005001-1 libsystemd0_241-5+rpi1 libtasn1-6_4.13-3 libthai-data_0.1.28-2 libthai0_0.1.28-2 libtiff5_4.0.10-4 libtimedate-perl_2.3000-2 libtinfo5_6.1+20181013-2 libtinfo6_6.1+20181013-2 libtool_2.4.6-9 libtry-tiny-perl_0.30-1 libubsan1_8.3.0-6+rpi1 libuchardet0_0.0.6-3 libudev1_241-5+rpi1 libunistring2_0.9.10-1 liburi-perl_1.76-1 libustr-1.0-1_1.0.4-6 libuuid1_2.33.1-0.1 libwebp6_0.6.1-2 libwww-perl_6.36-2 libwww-robotrules-perl_6.02-1 libx11-6_2:1.6.7-1 libx11-data_2:1.6.7-1 libx11-xcb1_2:1.6.7-1 libxau6_1:1.0.8-1+b2 libxcb-dri2-0_1.13.1-2 libxcb-dri3-0_1.13.1-2 libxcb-glx0_1.13.1-2 libxcb-present0_1.13.1-2 libxcb-render0_1.13.1-2 libxcb-shm0_1.13.1-2 libxcb-sync1_1.13.1-2 libxcb1_1.13.1-2 libxcomposite1_1:0.4.4-2 libxcursor1_1:1.1.15-2 libxdamage1_1:1.1.4-3 libxdmcp6_1:1.1.2-3 libxext6_2:1.3.3-1+b2 libxfixes3_1:5.0.3-1 libxi6_2:1.7.9-1 libxinerama1_2:1.1.4-2 libxml-dom-perl_1.44-2 libxml-parser-perl_2.44-4 libxml-perl_0.08-3 libxml-regexp-perl_0.04-1 libxml2_2.9.4+dfsg1-7+b1 libxrandr2_2:1.5.1-1 libxrender1_1:0.9.10-1 libxshmfence1_1.3-1 libxtst6_2:1.2.3-1 libxxf86vm1_1:1.1.4-1+b2 libzstd1_1.3.8+dfsg-3+rpi1 linux-base_4.6 linux-libc-dev_4.18.20-2+rpi1 login_1:4.5-1.1 lsb-base_10.2019051400+rpi1 m4_1.4.18-2 make_4.2.1-1.2 makedev_2.3.1-94 man-db_2.8.5-2 mawk_1.3.3-17 mime-support_3.62 mono-4.0-gac_5.18.0.240+dfsg-3 mono-devel_5.18.0.240+dfsg-3 mono-gac_5.18.0.240+dfsg-3 mono-mcs_5.18.0.240+dfsg-3 mono-runtime_5.18.0.240+dfsg-3 mono-runtime-common_5.18.0.240+dfsg-3 mono-runtime-sgen_5.18.0.240+dfsg-3 mono-utils_5.18.0.240+dfsg-3 mono-xbuild_5.18.0.240+dfsg-3 mount_2.33.1-0.1 multiarch-support_2.28-10+rpi1 nano_3.2-3 ncurses-base_6.1+20181013-2 ncurses-bin_6.1+20181013-2 netbase_5.6 ocaml-base-nox_4.05.0-11+rpi1 ocaml-compiler-libs_4.05.0-11+rpi1 ocaml-interp_4.05.0-11+rpi1 ocaml-nox_4.05.0-11+rpi1 openjdk-11-jdk_11.0.3+7-5 openjdk-11-jdk-headless_11.0.3+7-5 openjdk-11-jre_11.0.3+7-5 openjdk-11-jre-headless_11.0.3+7-5 openssl_1.1.1c-1 passwd_1:4.5-1.1 patch_2.7.6-3 patchutils_0.3.4-2 perl_5.28.1-6 perl-base_5.28.1-6 perl-modules-5.24_5.24.1-7 perl-modules-5.28_5.28.1-6 perl-openssl-defaults_3 pinentry-curses_1.1.0-2 pkg-config_0.29-6 plymouth_0.9.4-1.1 po-debconf_1.0.21 procps_2:3.3.15-2 python_2.7.16-1 python-minimal_2.7.16-1 python2_2.7.16-1 python2-minimal_2.7.16-1 python2.7_2.7.16-2 python2.7-minimal_2.7.16-2 python3_3.7.3-1 python3-distutils_3.7.3-1 python3-lib2to3_3.7.3-1 python3-minimal_3.7.3-1 python3.7_3.7.3-2 python3.7-minimal_3.7.3-2 raspbian-archive-keyring_20120528.2 readline-common_7.0-5 sbuild-build-depends-core-dummy_0.invalid.0 sbuild-build-depends-z3-dummy_0.invalid.0 sed_4.7-1 sensible-utils_0.0.12 shared-mime-info_1.10-1 systemd_241-5+rpi1 systemd-sysv_241-5+rpi1 sysvinit-utils_2.93-8 tar_1.30+dfsg-6 tzdata_2019a-1 ucf_3.0038+nmu1 udev_241-5+rpi1 util-linux_2.33.1-0.1 wdiff_1.2.2-2 x11-common_1:7.7+19 xz-utils_5.2.4-1 zlib1g_1:1.2.11.dfsg-1

+------------------------------------------------------------------------------+
| Build                                                                        |
+------------------------------------------------------------------------------+


Unpack source
-------------

gpgv: unknown type of key resource 'trustedkeys.kbx'
gpgv: keyblock resource '/sbuild-nonexistent/.gnupg/trustedkeys.kbx': General error
gpgv: Signature made Sat Aug 24 10:41:08 2019 UTC
gpgv:                using RSA key EBF30A30A8D9C63BDA44C6945FB33F9359E9ED08
gpgv:                issuer "anbe@debian.org"
gpgv: Can't check signature: No public key
dpkg-source: warning: failed to verify signature on ./z3_4.4.1-1~deb10u1.dsc
dpkg-source: info: extracting z3 in /<<PKGBUILDDIR>>
dpkg-source: info: unpacking z3_4.4.1.orig.tar.gz
dpkg-source: info: unpacking z3_4.4.1-1~deb10u1.debian.tar.xz
dpkg-source: info: using patch list from debian/patches/series
dpkg-source: info: applying disable-tests.patch
dpkg-source: info: applying fix-dotnet.patch
dpkg-source: info: applying fix-dotnet-version.patch
dpkg-source: info: applying avoid-ocamlopt.patch
dpkg-source: info: applying intrinsics.patch
dpkg-source: info: applying typos.patch
dpkg-source: info: applying hardening.patch
dpkg-source: info: applying kfreebsd.patch
dpkg-source: info: applying f02d273ee39ae047222e362c37213d29135dc661.patch
dpkg-source: info: applying 27399309009314f56cdfbd8333f287b1a9b7a3a6.patch
dpkg-source: info: applying fix-build.patch

Check disc space
----------------

Sufficient free space for build

User Environment
----------------

APT_CONFIG=/var/lib/sbuild/apt.conf
DEB_BUILD_OPTIONS=parallel=4
HOME=/sbuild-nonexistent
LC_ALL=POSIX
LOGNAME=buildd
PATH=/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin:/bin:/usr/games
SCHROOT_ALIAS_NAME=buster-staging-armhf-sbuild
SCHROOT_CHROOT_NAME=buster-staging-armhf-sbuild
SCHROOT_COMMAND=env
SCHROOT_GID=109
SCHROOT_GROUP=buildd
SCHROOT_SESSION_ID=buster-staging-armhf-sbuild-3cfb380b-e673-4b5c-acae-e6b68ebaf3b5
SCHROOT_UID=104
SCHROOT_USER=buildd
SHELL=/bin/sh
TERM=linux
USER=buildd

dpkg-buildpackage
-----------------

dpkg-buildpackage: info: source package z3
dpkg-buildpackage: info: source version 4.4.1-1~deb10u1
dpkg-buildpackage: info: source distribution buster
 dpkg-source --before-build .
dpkg-buildpackage: info: host architecture armhf
 fakeroot debian/rules clean
if [ yes = yes ]; then \
	if [ yes = yes ]; then \
		dh clean --parallel --with python2,javahelper,ocaml,cli; \
	else \
		dh clean --parallel --with python2,javahelper,ocaml; \
	fi; \
else \
	dh clean --parallel --with python2,ocaml; \
fi
   dh_auto_clean -O--parallel
   jh_clean -O--parallel
   dh_ocamlclean -O--parallel
   debian/rules override_dh_clean
make[1]: Entering directory '/<<PKGBUILDDIR>>'
dh_clean
sed -i 's/^DOTNET_ENABLED=.*/DOTNET_ENABLED=False/' scripts/mk_util.py
rm -f Makefile scripts/*.pyc
rm -f -r build
rm -f src/api/python/*.pyc
rm -f \
    src/api/api_commands.cpp \
    src/api/api_log_macros.cpp \
    src/api/api_log_macros.h \
    src/api/dll/gparams_register_modules.cpp \
    src/api/dll/install_tactic.cpp \
    src/api/dll/mem_initializer.cpp \
    src/api/dotnet/Enumerations.cs \
    src/api/dotnet/Native.cs \
    src/api/dotnet/Properties/AssemblyInfo.cs \
    src/api/python/z3consts.py \
    src/api/python/z3core.py \
    src/api/java/Native.cpp \
    src/api/java/Native.java \
    src/api/java/enumerations/Z3_ast_kind.java \
    src/api/java/enumerations/Z3_ast_print_mode.java \
    src/api/java/enumerations/Z3_decl_kind.java \
    src/api/java/enumerations/Z3_error_code.java \
    src/api/java/enumerations/Z3_goal_prec.java \
    src/api/java/enumerations/Z3_lbool.java \
    src/api/java/enumerations/Z3_param_kind.java \
    src/api/java/enumerations/Z3_parameter_kind.java \
    src/api/java/enumerations/Z3_sort_kind.java \
    src/api/java/enumerations/Z3_symbol_kind.java \
    src/api/ml/z3native.ml \
    src/api/ml/z3native.mli \
    src/api/ml/z3native_stubs.c \
    src/api/ml/z3enums.ml \
    src/api/ml/z3enums.mli \
    src/ast/fpa/fpa2bv_rewriter_params.hpp \
    src/ast/normal_forms/nnf_params.hpp \
    src/ast/pattern/database.h \
    src/ast/pattern/pattern_inference_params_helper.hpp \
    src/ast/pp_params.hpp \
    src/ast/rewriter/arith_rewriter_params.hpp \
    src/ast/rewriter/array_rewriter_params.hpp \
    src/ast/rewriter/bool_rewriter_params.hpp \
    src/ast/rewriter/bv_rewriter_params.hpp \
    src/ast/rewriter/fpa_rewriter_params.hpp \
    src/ast/rewriter/poly_rewriter_params.hpp \
    src/ast/rewriter/rewriter_params.hpp \
    src/ast/simplifier/arith_simplifier_params_helper.hpp \
    src/ast/simplifier/array_simplifier_params_helper.hpp \
    src/ast/simplifier/bv_simplifier_params_helper.hpp \
    src/interp/interp_params.hpp \
    src/math/polynomial/algebraic_params.hpp \
    src/math/realclosure/rcf_params.hpp \
    src/model/model_evaluator_params.hpp \
    src/model/model_params.hpp \
    src/muz/base/fixedpoint_params.hpp \
    src/nlsat/nlsat_params.hpp \
    src/parsers/util/parser_params.hpp \
    src/sat/sat_asymm_branch_params.hpp \
    src/sat/sat_params.hpp \
    src/sat/sat_scc_params.hpp \
    src/sat/sat_simplifier_params.hpp \
    src/shell/gparams_register_modules.cpp \
    src/shell/install_tactic.cpp \
    src/shell/mem_initializer.cpp \
    src/smt/params/smt_params_helper.hpp \
    src/solver/combined_solver_params.hpp \
    src/tactic/sls/sls_params.hpp \
    src/test/gparams_register_modules.cpp \
    src/test/install_tactic.cpp \
    src/test/mem_initializer.cpp \
    src/util/version.h \
    src/opt/opt_params.hpp
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
 debian/rules build-arch
if [ yes = yes ]; then \
	if [ yes = yes ]; then \
		dh build-arch --parallel --with python2,javahelper,ocaml,cli; \
	else \
		dh build-arch --parallel --with python2,javahelper,ocaml; \
	fi; \
else \
	dh build-arch --parallel --with python2,ocaml; \
fi
   dh_update_autotools_config -a -O--parallel
   dh_ocamlinit -a -O--parallel
   debian/rules override_dh_auto_configure
make[1]: Entering directory '/<<PKGBUILDDIR>>'
if [ yes = yes ]; then \
	sed -i 's/^DOTNET_ENABLED=.*/DOTNET_ENABLED=True/' scripts/mk_util.py; \
else \
	sed -i 's/^DOTNET_ENABLED=.*/DOTNET_ENABLED=False/' scripts/mk_util.py; \
fi
if [ yes = yes ]; then \
	python scripts/mk_make.py --java --ml --prefix=/<<PKGBUILDDIR>>/debian/tmp/usr; \
else \
	python scripts/mk_make.py --ml --prefix=/<<PKGBUILDDIR>>/debian/tmp/usr; \
fi
opt = --java, arg = 
opt = --ml, arg = 
opt = --prefix, arg = /<<PKGBUILDDIR>>/debian/tmp/usr
New component: 'util'
New component: 'polynomial'
New component: 'sat'
New component: 'nlsat'
New component: 'hilbert'
New component: 'simplex'
New component: 'interval'
New component: 'realclosure'
New component: 'subpaving'
New component: 'ast'
New component: 'rewriter'
New component: 'normal_forms'
New component: 'model'
New component: 'tactic'
New component: 'substitution'
New component: 'parser_util'
New component: 'grobner'
New component: 'euclid'
New component: 'core_tactics'
New component: 'sat_tactic'
New component: 'arith_tactics'
New component: 'nlsat_tactic'
New component: 'subpaving_tactic'
New component: 'aig_tactic'
New component: 'solver'
New component: 'interp'
New component: 'cmd_context'
New component: 'extra_cmds'
New component: 'smt2parser'
New component: 'proof_checker'
New component: 'simplifier'
New component: 'fpa'
New component: 'macros'
New component: 'pattern'
New component: 'bit_blaster'
New component: 'smt_params'
New component: 'proto_model'
New component: 'smt'
New component: 'user_plugin'
New component: 'bv_tactics'
New component: 'fuzzing'
New component: 'smt_tactic'
New component: 'sls_tactic'
New component: 'qe'
New component: 'duality'
New component: 'muz'
New component: 'dataflow'
New component: 'transforms'
New component: 'rel'
New component: 'pdr'
New component: 'clp'
New component: 'tab'
New component: 'bmc'
New component: 'ddnf'
New component: 'duality_intf'
New component: 'fp'
New component: 'nlsat_smt_tactic'
New component: 'smtlogic_tactics'
New component: 'fpa_tactics'
New component: 'ufbv_tactic'
New component: 'sat_solver'
New component: 'portfolio'
New component: 'smtparser'
New component: 'opt'
New component: 'api'
New component: 'shell'
New component: 'test'
New component: 'api_dll'
New component: 'dotnet'
New component: 'java'
New component: 'ml'
New component: 'cpp'
Python bindings directory was detected.
New component: 'cpp_example'
New component: 'iz3'
New component: 'z3_tptp'
New component: 'c_example'
New component: 'maxsat'
New component: 'dotnet_example'
New component: 'java_example'
New component: 'py_example'
Generated 'src/util/version.h'
Updated 'src/api/dotnet/Properties/AssemblyInfo'
Generated 'src/ast/pp_params.hpp'
Generated 'src/ast/fpa/fpa2bv_rewriter_params.hpp'
Generated 'src/ast/normal_forms/nnf_params.hpp'
Generated 'src/ast/pattern/pattern_inference_params_helper.hpp'
Generated 'src/ast/rewriter/arith_rewriter_params.hpp'
Generated 'src/ast/rewriter/array_rewriter_params.hpp'
Generated 'src/ast/rewriter/bool_rewriter_params.hpp'
Generated 'src/ast/rewriter/bv_rewriter_params.hpp'
Generated 'src/ast/rewriter/fpa_rewriter_params.hpp'
Generated 'src/ast/rewriter/poly_rewriter_params.hpp'
Generated 'src/ast/rewriter/rewriter_params.hpp'
Generated 'src/ast/simplifier/arith_simplifier_params_helper.hpp'
Generated 'src/ast/simplifier/array_simplifier_params_helper.hpp'
Generated 'src/ast/simplifier/bv_simplifier_params_helper.hpp'
Generated 'src/interp/interp_params.hpp'
Generated 'src/math/polynomial/algebraic_params.hpp'
Generated 'src/math/realclosure/rcf_params.hpp'
Generated 'src/model/model_evaluator_params.hpp'
Generated 'src/model/model_params.hpp'
Generated 'src/muz/base/fixedpoint_params.hpp'
Generated 'src/nlsat/nlsat_params.hpp'
Generated 'src/opt/opt_params.hpp'
Generated 'src/parsers/util/parser_params.hpp'
Generated 'src/sat/sat_asymm_branch_params.hpp'
Generated 'src/sat/sat_params.hpp'
Generated 'src/sat/sat_scc_params.hpp'
Generated 'src/sat/sat_simplifier_params.hpp'
Generated 'src/smt/params/smt_params_helper.hpp'
Generated 'src/solver/combined_solver_params.hpp'
Generated 'src/tactic/sls/sls_params.hpp'
Generated 'src/ast/pattern/database.h'
Generated 'src/shell/install_tactic.cpp'
Generated 'src/test/install_tactic.cpp'
Generated 'src/api/dll/install_tactic.cpp'
Generated 'src/shell/mem_initializer.cpp'
Generated 'src/test/mem_initializer.cpp'
Generated 'src/api/dll/mem_initializer.cpp'
Generated 'src/shell/gparams_register_modules.cpp'
Generated 'src/test/gparams_register_modules.cpp'
Generated 'src/api/dll/gparams_register_modules.cpp'
Generated 'src/api/python/z3consts.py'
Generated 'src/api/dotnet/Enumerations.cs'
Finding javac ...
Finding jar ...
Testing /usr/bin/javac...
Finding jni.h...
Generated 'src/api/java/enumerations'
Generated 'src/api/java/Native.java'
Generated "src/api/ml/z3native.ml"
Generated 'src/api/api_log_macros.h'
Generated 'src/api/api_log_macros.cpp'
Generated 'src/api/api_commands.cpp'
Generated 'src/api/python/z3core.py'
Generated 'src/api/dotnet/Native.cs'
Listing src/api/python ...
Compiling src/api/python/z3.py ...
Compiling src/api/python/z3consts.py ...
Compiling src/api/python/z3core.py ...
Compiling src/api/python/z3num.py ...
Compiling src/api/python/z3poly.py ...
Compiling src/api/python/z3printer.py ...
Compiling src/api/python/z3rcf.py ...
Compiling src/api/python/z3test.py ...
Compiling src/api/python/z3types.py ...
Compiling src/api/python/z3util.py ...
Copied 'z3.py'
Copied 'z3num.py'
Copied 'z3poly.py'
Copied 'z3printer.py'
Copied 'z3rcf.py'
Copied 'z3test.py'
Copied 'z3types.py'
Copied 'z3util.py'
Copied 'z3consts.py'
Copied 'z3core.py'
Generated 'z3.pyc'
Generated 'z3consts.pyc'
Generated 'z3core.pyc'
Generated 'z3num.pyc'
Generated 'z3poly.pyc'
Generated 'z3printer.pyc'
Generated 'z3rcf.pyc'
Generated 'z3test.pyc'
Generated 'z3types.pyc'
Generated 'z3util.pyc'
Testing ocamlc...
Finding OCAML_LIB...
OCAML_LIB=/usr/lib/ocaml
Testing ocamlfind...
Generated "src/api/ml/z3enums.ml"
Generated "src/api/ml/z3enums.mli"
Testing ar...
Testing g++...
Testing gcc...
Testing floating point support...
Testing OpenMP...
Host platform:  Linux
C++ Compiler:   g++
C Compiler  :   gcc
Arithmetic:     internal
OpenMP:         True
Prefix:         /<<PKGBUILDDIR>>/debian/tmp/usr
64-bit:         False
FP math:        ARM-VFP
Python version: 2.7
JNI Bindings:   /usr/lib/jvm/java-11-openjdk-armhf/include
Java Compiler:  /usr/bin/javac
OCaml Compiler: ocamlc
OCaml Native:   true
OCaml Library:  /usr/lib/ocaml
Writing build/Makefile
Updated 'build/api/ml/META'
Copied Z3Py example 'example.py' to 'build'
Makefile was successfully generated.
  python packages dir: /<<PKGBUILDDIR>>/debian/tmp/usr/lib/python2.7/dist-packages
  compilation mode: Release
Type 'cd build; make' to build Z3
sed -i 's/^SLINK_FLAGS=/SLINK_FLAGS=$(LDFLAGS) -fPIC /' build/config.mk
echo 'libz3$(SO_EXT): SLINK_FLAGS += -Wl,-soname,libz3.so.4' >> build/Makefile
printf '%%:\n\t$(MAKE) -C build $@\n' > Makefile
printf '\nall:\n\t$(MAKE) -C build $@\n' >> Makefile
ln -s libz3.so build/libz3.dll
# from T2 README, with fixes
printf '<configuration>\n <dllmap dll="libz3.dll" target="/usr/lib/arm-linux-gnueabihf/libz3.so" os="linux"/>\n</configuration>\n' > build/Microsoft.Z3.dll.config
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   jh_linkjars -a -O--parallel
   dh_auto_build -a -O--parallel
	make -j4
make[1]: Entering directory '/<<PKGBUILDDIR>>'
make -C build all
make[2]: Entering directory '/<<PKGBUILDDIR>>/build'
src/smt/smt_statistics.cpp
src/interp/iz3profiling.cpp
src/util/approx_nat.cpp
src/util/common_msgs.cpp
src/util/luby.cpp
src/util/scoped_ctrl_c.cpp
src/api/dll/dll.cpp
cp ../src/api/ml/z3enums.mli api/ml/z3enums.mli
cp ../src/api/ml/z3native.mli api/ml/z3native.mli
cp ../src/api/ml/z3.mli api/ml/z3.mli
cp ../src/api/ml/z3enums.ml api/ml/z3enums.ml
cp ../src/api/ml/z3native.ml api/ml/z3native.ml
cp ../src/api/ml/z3.ml api/ml/z3.ml
cp ../src/api/ml/z3native_stubs.c api/ml/z3native_stubs.c
src/util/approx_set.cpp
src/util/cooperate.cpp
src/util/memory_manager.cpp
src/util/page.cpp
src/util/timeit.cpp
src/util/z3_exception.cpp
ocamlc -I api/ml -c api/ml/z3enums.mli
src/api/api_commands.cpp
src/util/bit_util.cpp
src/util/lbool.cpp
src/util/mpn.cpp
src/util/scoped_timer.cpp
src/util/stack.cpp
src/util/timeout.cpp
src/util/timer.cpp
src/util/util.cpp
ocamlc -I api/ml -c api/ml/z3native.mli
ocamlc -a -o api/ml/z3enums.ml -o api/ml/z3enums.cma
src/shell/z3_log_frontend.cpp
src/api/api_log.cpp
src/util/fixed_bit_vector.cpp
src/util/hash.cpp
ocamlc -I api/ml -c api/ml/z3.mli
ocamlc -a -o api/ml/z3native.ml -o api/ml/z3native.cma
src/api/z3_replayer.cpp
src/api/api_log_macros.cpp
src/interp/iz3scopes.cpp
src/util/bit_vector.cpp
src/util/cmd_context_types.cpp
src/util/permutation.cpp
src/util/prime_generator.cpp
src/util/region.cpp
src/util/rlimit.cpp
src/util/small_object_allocator.cpp
src/util/smt2_util.cpp
src/util/statistics.cpp
src/util/symbol.cpp
src/util/trace.cpp
src/util/warning.cpp
src/util/debug.cpp
ocamlc -a -o api/ml/z3.ml -o api/ml/z3.cma
src/sat/sat_clause.cpp
src/sat/sat_clause_set.cpp
src/sat/sat_clause_use_list.cpp
src/sat/sat_config.cpp
src/sat/sat_model_converter.cpp
src/sat/sat_watched.cpp
src/util/env_params.cpp
src/util/gparams.cpp
src/util/mpz.cpp
src/smt/params/dyn_ack_params.cpp
src/smt/params/qi_params.cpp
src/smt/params/theory_arith_params.cpp
src/smt/params/theory_bv_params.cpp
src/smt/params/theory_pb_params.cpp
src/ast/pattern/pattern_inference_params.cpp
src/ast/simplifier/arith_simplifier_params.cpp
src/ast/simplifier/array_simplifier_params.cpp
src/ast/simplifier/bv_simplifier_params.cpp
src/math/euclid/euclidean_solver.cpp
src/math/realclosure/mpz_matrix.cpp
src/math/interval/interval_mpq.cpp
src/util/mpf.cpp
src/util/mpff.cpp
src/util/mpfx.cpp
src/util/mpq.cpp
src/util/mpq_inf.cpp
src/util/hwf.cpp
src/shell/mem_initializer.cpp
src/smt/old_interval.cpp
src/smt/params/preprocessor_params.cpp
src/smt/params/theory_array_params.cpp
src/tactic/arith/linear_equation.cpp
src/math/realclosure/realclosure.cpp
src/util/inf_int_rational.cpp
src/util/inf_rational.cpp
src/util/mpbq.cpp
src/util/params.cpp
src/util/rational.cpp
src/util/s_integer.cpp
src/util/sexpr.cpp
src/api/dll/mem_initializer.cpp
src/muz/rel/tbv.cpp
src/smt/user_plugin/user_decl_plugin.cpp
src/smt/smt_quantifier_stat.cpp
src/smt/uses_theory.cpp
src/smt/proto_model/value_factory.cpp
src/ast/simplifier/simplifier_plugin.cpp
src/tactic/arith/bound_propagator.cpp
src/parsers/util/scanner.cpp
../src/parsers/util/scanner.cpp: In member function 'scanner::token scanner::scan()':
../src/parsers/util/scanner.cpp:483:9: warning: case label value is less than minimum value for type
         case -1:
         ^~~~
src/parsers/util/simple_parser.cpp
src/ast/ast_lt.cpp
src/ast/ast_util.cpp
src/ast/decl_collector.cpp
src/ast/expr_abstract.cpp
src/ast/expr_stat.cpp
src/ast/expr_substitution.cpp
src/ast/for_each_ast.cpp
src/ast/for_each_expr.cpp
src/ast/func_decl_dependencies.cpp
src/ast/has_free_vars.cpp
src/ast/num_occurs.cpp
src/ast/occurs.cpp
src/ast/pb_decl_plugin.cpp
src/math/subpaving/subpaving.cpp
src/math/subpaving/subpaving_hwf.cpp
src/math/subpaving/subpaving_mpf.cpp
src/math/subpaving/subpaving_mpff.cpp
src/math/subpaving/subpaving_mpfx.cpp
src/math/subpaving/subpaving_mpq.cpp
src/math/simplex/simplex.cpp
src/math/hilbert/hilbert_basis.cpp
src/sat/dimacs.cpp
src/sat/sat_asymm_branch.cpp
src/sat/sat_bceq.cpp
src/sat/sat_cleaner.cpp
src/sat/sat_elim_eqs.cpp
src/sat/sat_iff3_finder.cpp
src/sat/sat_integrity_checker.cpp
src/sat/sat_mus.cpp
src/sat/sat_probing.cpp
src/sat/sat_scc.cpp
src/sat/sat_simplifier.cpp
src/sat/sat_sls.cpp
src/sat/sat_solver.cpp
src/util/inf_s_integer.cpp
src/shell/dimacs_frontend.cpp
src/opt/hitting_sets.cpp
src/muz/base/bind_variables.cpp
src/smt/fingerprints.cpp
src/smt/smt_almost_cg_table.cpp
src/smt/smt_value_sort.cpp
src/smt/params/smt_params.cpp
src/ast/simplifier/datatype_simplifier_plugin.cpp
src/cmd_context/pdecl.cpp
src/cmd_context/tactic_manager.cpp
src/math/subpaving/tactic/expr2subpaving.cpp
src/parsers/util/cost_parser.cpp
src/ast/rewriter/datatype_rewriter.cpp
src/ast/act_cache.cpp
src/ast/ast_ll_pp.cpp
src/ast/ast_smt_pp.cpp
src/ast/ast_translation.cpp
src/ast/expr_map.cpp
src/ast/format.cpp
src/ast/fpa_decl_plugin.cpp
src/ast/macro_substitution.cpp
src/ast/pp.cpp
src/ast/reg_decl_plugins.cpp
src/ast/seq_decl_plugin.cpp
src/ast/used_vars.cpp
src/nlsat/nlsat_types.cpp
src/math/polynomial/polynomial_cache.cpp
src/api/dll/gparams_register_modules.cpp
src/shell/main.cpp
src/shell/gparams_register_modules.cpp
src/qe/qe_util.cpp
src/smt/arith_eq_solver.cpp
src/smt/cost_evaluator.cpp
src/smt/theory_opt.cpp
src/ast/fpa/fpa2bv_converter.cpp
src/ast/simplifier/basic_simplifier_plugin.cpp
src/ast/normal_forms/name_exprs.cpp
src/ast/rewriter/bool_rewriter.cpp
src/ast/rewriter/bv_rewriter.cpp
src/ast/rewriter/dl_rewriter.cpp
src/ast/rewriter/expr_replacer.cpp
src/ast/rewriter/expr_safe_replace.cpp
src/ast/rewriter/fpa_rewriter.cpp
src/ast/rewriter/mk_simplified_app.cpp
src/ast/rewriter/rewriter.cpp
src/ast/arith_decl_plugin.cpp
src/ast/ast_pp_util.cpp
src/ast/ast_printer.cpp
src/ast/datatype_decl_plugin.cpp
src/ast/expr2polynomial.cpp
src/ast/expr2var.cpp
src/ast/expr_functors.cpp
src/ast/shared_occs.cpp
src/nlsat/nlsat_clause.cpp
src/nlsat/nlsat_interval_set.cpp
src/math/polynomial/rpolynomial.cpp
src/math/polynomial/sexpr2upolynomial.cpp
src/math/polynomial/upolynomial.cpp
src/math/polynomial/upolynomial_factorization.cpp
src/parsers/smt/smtlib.cpp
src/parsers/smt/smtparser.cpp
src/smt/user_plugin/user_simplifier_plugin.cpp
src/smt/smt_cg_table.cpp
src/smt/smt_clause.cpp
src/smt/smt_farkas_util.cpp
src/smt/smt_literal.cpp
src/smt/proto_model/numeral_factory.cpp
src/ast/simplifier/arith_simplifier_plugin.cpp
src/ast/simplifier/bit2int.cpp
src/ast/simplifier/bv_simplifier_plugin.cpp
src/ast/simplifier/distribute_forall.cpp
src/ast/simplifier/fpa_simplifier_plugin.cpp
src/ast/simplifier/inj_axiom.cpp
src/ast/simplifier/poly_simplifier_plugin.cpp
src/ast/proof_checker/proof_checker.cpp
src/cmd_context/check_logic.cpp
src/interp/iz3mgr.cpp
src/tactic/aig/aig.cpp
src/tactic/arith/bound_manager.cpp
src/tactic/arith/bv2real_rewriter.cpp
src/tactic/arith/probe_arith.cpp
src/sat/tactic/atom2bool_var.cpp
src/math/grobner/grobner.cpp
src/parsers/util/pattern_validation.cpp
src/tactic/goal.cpp
src/tactic/goal_num_occurs.cpp
src/tactic/goal_shared_occs.cpp
src/tactic/goal_util.cpp
src/tactic/probe.cpp
src/tactic/proof_converter.cpp
src/model/func_interp.cpp
src/model/model_core.cpp
src/model/model_pp.cpp
src/model/model_smt2_pp.cpp
src/model/model_v2_pp.cpp
src/ast/normal_forms/defined_names.cpp
src/ast/normal_forms/nnf.cpp
src/ast/normal_forms/pull_quant.cpp
src/ast/rewriter/arith_rewriter.cpp
src/ast/rewriter/array_rewriter.cpp
src/ast/rewriter/der.cpp
src/ast/rewriter/factor_rewriter.cpp
src/ast/rewriter/pb_rewriter.cpp
src/ast/rewriter/th_rewriter.cpp
src/ast/rewriter/var_subst.cpp
src/ast/array_decl_plugin.cpp
src/ast/ast.cpp
src/ast/ast_smt2_pp.cpp
src/ast/bv_decl_plugin.cpp
src/ast/static_features.cpp
src/ast/well_sorted.cpp
src/ast/dl_decl_plugin.cpp
src/math/polynomial/algebraic_numbers.cpp
src/math/polynomial/polynomial.cpp
src/math/polynomial/polynomial_factorization.cpp
src/api/api_datatype.cpp
src/api/api_fpa.cpp
src/api/api_goal.cpp
src/api/api_model.cpp
src/api/api_numeral.cpp
src/api/api_params.cpp
src/api/api_pb.cpp
src/api/api_polynomial.cpp
src/api/api_quant.cpp
src/api/api_rcf.cpp
src/api/api_solver_old.cpp
src/api/api_stats.cpp
src/muz/pdr/pdr_sym_mux.cpp
src/muz/rel/doc.cpp
src/muz/base/dl_boogie_proof.cpp
src/qe/qe_arith_plugin.cpp
src/qe/qe_array_plugin.cpp
src/qe/qe_bool_plugin.cpp
src/qe/qe_bv_plugin.cpp
src/qe/qe_datatype_plugin.cpp
src/qe/qe_dl_plugin.cpp
src/smt/cached_var_subst.cpp
src/smt/expr_context_simplifier.cpp
src/smt/watch_list.cpp
src/ast/rewriter/bit_blaster/bit_blaster.cpp
src/ast/rewriter/bit_blaster/bit_blaster_rewriter.cpp
src/ast/simplifier/array_simplifier_plugin.cpp
src/ast/simplifier/bv_elim.cpp
src/ast/simplifier/elim_bounds.cpp
src/ast/simplifier/pull_ite_tree.cpp
src/ast/simplifier/push_app_ite.cpp
src/ast/simplifier/simplifier.cpp
src/interp/iz3pp.cpp
src/solver/check_sat_result.cpp
src/tactic/arith/bv2int_rewriter.cpp
src/ast/substitution/matcher.cpp
src/ast/substitution/substitution.cpp
src/ast/substitution/substitution_tree.cpp
src/ast/substitution/unifier.cpp
src/tactic/equiv_proof_converter.cpp
src/tactic/replace_proof_converter.cpp
src/model/model.cpp
src/model/model2expr.cpp
src/model/model_evaluator.cpp
src/model/model_implicant.cpp
src/ast/rewriter/ast_counter.cpp
src/ast/rewriter/quant_hoist.cpp
src/nlsat/nlsat_evaluator.cpp
src/nlsat/nlsat_explain.cpp
src/nlsat/nlsat_solver.cpp
src/api/api_algebraic.cpp
src/api/api_arith.cpp
src/api/api_array.cpp
src/api/api_ast.cpp
src/api/api_ast_map.cpp
src/api/api_ast_vector.cpp
src/api/api_bv.cpp
src/api/api_config_params.cpp
src/api/api_context.cpp
src/api/api_solver.cpp
src/api/api_tactic.cpp
src/api/api_user_theory.cpp
src/opt/mss.cpp
src/opt/mus.cpp
src/opt/opt_pareto.cpp
src/opt/pb_sls.cpp
src/parsers/smt/smtlib_solver.cpp
src/tactic/portfolio/smt_strategic_solver.cpp
src/tactic/ufbv/ufbv_rewriter.cpp
src/tactic/ufbv/ufbv_rewriter_tactic.cpp
src/tactic/nlsat_smt/nl_purify_tactic.cpp
src/duality/duality_profiling.cpp
src/duality/duality_wrapper.cpp
src/qe/nlarith_util.cpp
src/qe/qe_arith.cpp
src/qe/qe_cmd.cpp
src/qe/qe_lite.cpp
src/qe/qe_sat_tactic.cpp
src/qe/qe_tactic.cpp
src/qe/vsubst_tactic.cpp
src/smt/tactic/smt_tactic.cpp
src/tactic/bv/bit_blaster_model_converter.cpp
src/tactic/bv/bit_blaster_tactic.cpp
src/tactic/bv/bv1_blaster_tactic.cpp
src/tactic/bv/bv_size_reduction_tactic.cpp
src/tactic/bv/max_bv_sharing_tactic.cpp
src/smt/elim_term_ite.cpp
src/smt/smt_implied_equalities.cpp
src/smt/proto_model/array_factory.cpp
src/smt/proto_model/datatype_factory.cpp
src/smt/proto_model/proto_model.cpp
src/smt/proto_model/struct_factory.cpp
src/ast/pattern/pattern_inference.cpp
src/ast/macros/macro_util.cpp
src/ast/simplifier/maximise_ac_sharing.cpp
src/cmd_context/extra_cmds/dbg_cmds.cpp
src/cmd_context/extra_cmds/polynomial_cmds.cpp
src/cmd_context/extra_cmds/subpaving_cmds.cpp
src/cmd_context/basic_cmds.cpp
src/cmd_context/cmd_context.cpp
src/cmd_context/cmd_context_to_goal.cpp
src/cmd_context/context_params.cpp
src/cmd_context/echo_tactic.cpp
src/cmd_context/eval_cmd.cpp
src/cmd_context/interpolant_cmds.cpp
src/cmd_context/parametric_cmd.cpp
src/cmd_context/simplify_cmd.cpp
src/cmd_context/cmd_util.cpp
src/cmd_context/tactic_cmds.cpp
src/interp/iz3base.cpp
src/interp/iz3checker.cpp
src/interp/iz3proof_itp.cpp
src/solver/combined_solver.cpp
src/solver/solver.cpp
src/tactic/aig/aig_tactic.cpp
src/tactic/arith/add_bounds_tactic.cpp
src/tactic/arith/arith_bounds_tactic.cpp
src/tactic/arith/card2bv_tactic.cpp
src/tactic/arith/diff_neq_tactic.cpp
src/tactic/arith/elim01_tactic.cpp
src/tactic/arith/eq2bv_tactic.cpp
src/tactic/arith/factor_tactic.cpp
src/tactic/arith/fix_dl_var_tactic.cpp
src/tactic/arith/lia2card_tactic.cpp
src/tactic/arith/lia2pb_tactic.cpp
src/tactic/arith/nla2bv_tactic.cpp
src/tactic/arith/normalize_bounds_tactic.cpp
src/tactic/arith/recover_01_tactic.cpp
src/sat/tactic/goal2sat.cpp
src/sat/tactic/sat_tactic.cpp
src/tactic/core/blast_term_ite_tactic.cpp
src/tactic/core/cofactor_elim_term_ite.cpp
src/tactic/core/cofactor_term_ite_tactic.cpp
src/tactic/core/der_tactic.cpp
src/tactic/core/distribute_forall_tactic.cpp
src/tactic/core/elim_term_ite_tactic.cpp
src/tactic/core/elim_uncnstr_tactic.cpp
src/tactic/core/nnf_tactic.cpp
src/tactic/core/occf_tactic.cpp
src/tactic/core/pb_preprocess_tactic.cpp
src/tactic/core/propagate_values_tactic.cpp
src/tactic/core/reduce_args_tactic.cpp
src/tactic/core/solve_eqs_tactic.cpp
src/tactic/core/split_clause_tactic.cpp
src/tactic/core/symmetry_reduce_tactic.cpp
src/tactic/extension_model_converter.cpp
src/tactic/filter_model_converter.cpp
src/tactic/model_converter.cpp
src/tactic/tactic.cpp
src/tactic/tactical.cpp
src/api/api_interp.cpp
src/api/api_parsers.cpp
src/tactic/portfolio/default_tactic.cpp
src/sat/sat_solver/inc_sat_solver.cpp
src/tactic/ufbv/ufbv_tactic.cpp
src/tactic/fpa/fpa2bv_model_converter.cpp
src/tactic/fpa/fpa2bv_tactic.cpp
src/tactic/fpa/qffp_tactic.cpp
src/tactic/smtlogics/nra_tactic.cpp
src/tactic/smtlogics/qfaufbv_tactic.cpp
src/tactic/smtlogics/qfauflia_tactic.cpp
src/tactic/smtlogics/qfbv_tactic.cpp
src/tactic/smtlogics/qfidl_tactic.cpp
src/tactic/smtlogics/qflia_tactic.cpp
src/tactic/smtlogics/qflra_tactic.cpp
src/tactic/smtlogics/qfnia_tactic.cpp
src/tactic/smtlogics/qfnra_tactic.cpp
src/tactic/smtlogics/qfuf_tactic.cpp
src/tactic/smtlogics/qfufbv_tactic.cpp
src/tactic/smtlogics/qfufnra_tactic.cpp
src/tactic/smtlogics/quant_tactics.cpp
src/smt/tactic/ctx_solver_simplify_tactic.cpp
src/smt/smt_solver.cpp
src/ast/pattern/expr_pattern_match.cpp
src/ast/macros/macro_manager.cpp
src/ast/macros/quasi_macros.cpp
src/parsers/smt2/smt2parser.cpp
src/parsers/smt2/smt2scanner.cpp
src/interp/iz3foci.cpp
src/interp/iz3proof.cpp
src/interp/iz3translate.cpp
src/interp/iz3translate_direct.cpp
src/solver/solver_na2as.cpp
src/solver/tactic2solver.cpp
src/math/subpaving/tactic/subpaving_tactic.cpp
src/nlsat/tactic/goal2nlsat.cpp
src/nlsat/tactic/nlsat_tactic.cpp
src/nlsat/tactic/qfnra_nlsat_tactic.cpp
src/tactic/arith/degree_shift_tactic.cpp
src/tactic/arith/fm_tactic.cpp
src/tactic/arith/pb2bv_model_converter.cpp
src/tactic/arith/pb2bv_tactic.cpp
src/tactic/arith/propagate_ineqs_tactic.cpp
src/tactic/arith/purify_arith_tactic.cpp
src/tactic/core/ctx_simplify_tactic.cpp
src/tactic/core/simplify_tactic.cpp
src/tactic/core/tseitin_cnf_tactic.cpp
src/tactic/horn_subsume_model_converter.cpp
src/api/dll/install_tactic.cpp
src/shell/smtlib_frontend.cpp
src/shell/install_tactic.cpp
src/tactic/ufbv/macro_finder_tactic.cpp
src/tactic/ufbv/quasi_macros_tactic.cpp
src/muz/pdr/pdr_farkas_learner.cpp
src/muz/pdr/pdr_smt_context_manager.cpp
src/muz/base/hnf.cpp
src/muz/base/proof_utils.cpp
src/duality/duality_rpfp.cpp
src/duality/duality_solver.cpp
src/tactic/sls/sls_engine.cpp
src/tactic/sls/sls_tactic.cpp
src/ast/macros/macro_finder.cpp
src/interp/iz3interp.cpp
src/opt/optsmt.cpp
In file included from ../src/opt/optsmt.cpp:35:
../src/smt/theory_arith.h: In member function 'bool smt::theory_arith<Ext>::has_var(expr*) const':
../src/smt/theory_arith.h:489:58: warning: invalid use of incomplete type 'class smt::context'
         bool has_var(expr * v) const { return get_context().e_internalized(v) && get_context().get_enode(v)->get_th_var(get_id()) != null_theory_var; }
                                               ~~~~~~~~~~~^~
In file included from ../src/opt/opt_solver.h:29,
                 from ../src/opt/optsmt.h:22,
                 from ../src/opt/optsmt.cpp:32:
../src/smt/smt_kernel.h:43:11: note: forward declaration of 'class smt::context'
     class context;
           ^~~~~~~
In file included from ../src/opt/optsmt.cpp:35:
../src/smt/theory_arith.h:489:93: warning: invalid use of incomplete type 'class smt::context'
         bool has_var(expr * v) const { return get_context().e_internalized(v) && get_context().get_enode(v)->get_th_var(get_id()) != null_theory_var; }
                                                                                  ~~~~~~~~~~~^~
In file included from ../src/opt/opt_solver.h:29,
                 from ../src/opt/optsmt.h:22,
                 from ../src/opt/optsmt.cpp:32:
../src/smt/smt_kernel.h:43:11: note: forward declaration of 'class smt::context'
     class context;
           ^~~~~~~
In file included from ../src/opt/optsmt.cpp:35:
../src/smt/theory_arith.h: In member function 'smt::theory_var smt::theory_arith<Ext>::expr2var(expr*) const':
../src/smt/theory_arith.h:490:107: warning: invalid use of incomplete type 'class smt::context'
         theory_var expr2var(expr * v) const { SASSERT(get_context().e_internalized(v)); return get_context().get_enode(v)->get_th_var(get_id()); }
                                                                                                ~~~~~~~~~~~^~
In file included from ../src/opt/opt_solver.h:29,
                 from ../src/opt/optsmt.h:22,
                 from ../src/opt/optsmt.cpp:32:
../src/smt/smt_kernel.h:43:11: note: forward declaration of 'class smt::context'
     class context;
           ^~~~~~~
In file included from ../src/opt/optsmt.cpp:35:
../src/smt/theory_arith.h: In member function 'bool smt::theory_arith<Ext>::is_free(expr*) const':
../src/smt/theory_arith.h:541:39: warning: invalid use of incomplete type 'class smt::context'
             return is_free(get_context().get_enode(n)->get_th_var(get_id()));
                            ~~~~~~~~~~~^~
In file included from ../src/opt/opt_solver.h:29,
                 from ../src/opt/optsmt.h:22,
                 from ../src/opt/optsmt.cpp:32:
../src/smt/smt_kernel.h:43:11: note: forward declaration of 'class smt::context'
     class context;
           ^~~~~~~
src/tactic/sls/bvsls_opt_engine.cpp
src/smt/asserted_formulas.cpp
src/muz/pdr/pdr_manager.cpp
src/muz/pdr/pdr_prop_solver.cpp
src/muz/pdr/pdr_reachable_cache.cpp
src/muz/pdr/pdr_util.cpp
src/qe/qe.cpp
src/smt/tactic/unit_subsumption_tactic.cpp
src/smt/user_plugin/user_smt_theory.cpp
src/smt/arith_eq_adapter.cpp
src/smt/dyn_ack.cpp
src/smt/mam.cpp
src/smt/qi_queue.cpp
src/smt/smt_case_split_queue.cpp
src/smt/smt_checker.cpp
src/smt/smt_conflict_resolution.cpp
src/smt/smt_context.cpp
src/smt/smt_context_inv.cpp
src/smt/smt_context_stat.cpp
src/smt/smt_enode.cpp
src/smt/smt_for_each_relevant_expr.cpp
src/smt/smt_internalizer.cpp
src/smt/smt_justification.cpp
src/smt/smt_kernel.cpp
src/smt/smt_model_checker.cpp
src/smt/smt_model_finder.cpp
src/smt/smt_model_generator.cpp
src/smt/smt_quantifier.cpp
src/smt/smt_quick_checker.cpp
src/smt/smt_relevancy.cpp
src/smt/smt_setup.cpp
src/smt/smt_theory.cpp
src/smt/theory_array.cpp
src/smt/theory_array_base.cpp
src/smt/theory_array_full.cpp
src/smt/theory_bv.cpp
src/smt/theory_datatype.cpp
src/smt/theory_dl.cpp
src/smt/theory_dummy.cpp
src/smt/theory_fpa.cpp
src/smt/theory_pb.cpp
src/smt/theory_wmaxsat.cpp
src/smt/smt_context_pp.cpp
src/opt/opt_solver.cpp
src/muz/dataflow/dataflow.cpp
src/smt/theory_dense_diff_logic.cpp
src/smt/theory_diff_logic.cpp
src/smt/theory_utvpi.cpp
src/opt/maxres.cpp
src/opt/opt_cmds.cpp
src/opt/opt_context.cpp
src/opt/wmax.cpp
src/muz/fp/datalog_parser.cpp
src/muz/ddnf/ddnf.cpp
src/muz/bmc/dl_bmc_engine.cpp
src/muz/tab/tab_context.cpp
src/muz/clp/clp_context.cpp
src/muz/pdr/pdr_closure.cpp
src/muz/transforms/dl_mk_backwards.cpp
src/muz/transforms/dl_mk_bit_blast.cpp
src/muz/transforms/dl_mk_coi_filter.cpp
src/muz/transforms/dl_mk_filter_rules.cpp
src/muz/transforms/dl_mk_interp_tail_simplifier.cpp
src/muz/transforms/dl_mk_karr_invariants.cpp
src/muz/transforms/dl_mk_loop_counter.cpp
src/muz/transforms/dl_mk_magic_sets.cpp
src/muz/transforms/dl_mk_magic_symbolic.cpp
src/muz/transforms/dl_mk_quantifier_abstraction.cpp
src/muz/transforms/dl_mk_quantifier_instantiation.cpp
src/muz/transforms/dl_mk_rule_inliner.cpp
src/muz/transforms/dl_mk_scale.cpp
src/muz/transforms/dl_mk_separate_negated_tails.cpp
src/muz/transforms/dl_mk_slice.cpp
src/muz/transforms/dl_mk_unbound_compressor.cpp
src/muz/base/dl_context.cpp
src/muz/base/dl_costs.cpp
src/muz/base/dl_rule.cpp
src/muz/base/dl_rule_set.cpp
src/muz/base/dl_rule_subsumption_index.cpp
src/muz/base/dl_rule_transformer.cpp
src/muz/base/dl_util.cpp
src/muz/base/rule_properties.cpp
src/smt/theory_arith.cpp
src/shell/opt_frontend.cpp
In file included from ../src/smt/theory_arith_def.h:22,
                 from ../src/smt/theory_arith.cpp:20:
../src/smt/theory_arith.h: In member function 'bool smt::theory_arith<Ext>::has_var(expr*) const':
../src/smt/theory_arith.h:489:58: warning: invalid use of incomplete type 'class smt::context'
         bool has_var(expr * v) const { return get_context().e_internalized(v) && get_context().get_enode(v)->get_th_var(get_id()) != null_theory_var; }
                                               ~~~~~~~~~~~^~
In file included from ../src/smt/smt_enode.h:23,
                 from ../src/smt/smt_theory.h:22,
                 from ../src/smt/theory_arith.h:23,
                 from ../src/smt/theory_arith_def.h:22,
                 from ../src/smt/theory_arith.cpp:20:
../src/smt/smt_types.h:49:11: note: forward declaration of 'class smt::context'
     class context;
           ^~~~~~~
In file included from ../src/smt/theory_arith_def.h:22,
                 from ../src/smt/theory_arith.cpp:20:
../src/smt/theory_arith.h:489:93: warning: invalid use of incomplete type 'class smt::context'
         bool has_var(expr * v) const { return get_context().e_internalized(v) && get_context().get_enode(v)->get_th_var(get_id()) != null_theory_var; }
                                                                                  ~~~~~~~~~~~^~
In file included from ../src/smt/smt_enode.h:23,
                 from ../src/smt/smt_theory.h:22,
                 from ../src/smt/theory_arith.h:23,
                 from ../src/smt/theory_arith_def.h:22,
                 from ../src/smt/theory_arith.cpp:20:
../src/smt/smt_types.h:49:11: note: forward declaration of 'class smt::context'
     class context;
           ^~~~~~~
In file included from ../src/smt/theory_arith_def.h:22,
                 from ../src/smt/theory_arith.cpp:20:
../src/smt/theory_arith.h: In member function 'smt::theory_var smt::theory_arith<Ext>::expr2var(expr*) const':
../src/smt/theory_arith.h:490:107: warning: invalid use of incomplete type 'class smt::context'
         theory_var expr2var(expr * v) const { SASSERT(get_context().e_internalized(v)); return get_context().get_enode(v)->get_th_var(get_id()); }
                                                                                                ~~~~~~~~~~~^~
In file included from ../src/smt/smt_enode.h:23,
                 from ../src/smt/smt_theory.h:22,
                 from ../src/smt/theory_arith.h:23,
                 from ../src/smt/theory_arith_def.h:22,
                 from ../src/smt/theory_arith.cpp:20:
../src/smt/smt_types.h:49:11: note: forward declaration of 'class smt::context'
     class context;
           ^~~~~~~
In file included from ../src/smt/theory_arith_def.h:22,
                 from ../src/smt/theory_arith.cpp:20:
../src/smt/theory_arith.h: In member function 'bool smt::theory_arith<Ext>::is_free(expr*) const':
../src/smt/theory_arith.h:541:39: warning: invalid use of incomplete type 'class smt::context'
             return is_free(get_context().get_enode(n)->get_th_var(get_id()));
                            ~~~~~~~~~~~^~
In file included from ../src/smt/smt_enode.h:23,
                 from ../src/smt/smt_theory.h:22,
                 from ../src/smt/theory_arith.h:23,
                 from ../src/smt/theory_arith_def.h:22,
                 from ../src/smt/theory_arith.cpp:20:
../src/smt/smt_types.h:49:11: note: forward declaration of 'class smt::context'
     class context;
           ^~~~~~~
src/api/api_opt.cpp
src/opt/bcd2.cpp
src/opt/fu_malik.cpp
src/opt/maxhs.cpp
src/opt/maxsls.cpp
src/opt/maxsmt.cpp
src/muz/fp/horn_tactic.cpp
src/muz/pdr/pdr_context.cpp
src/muz/pdr/pdr_dl_interface.cpp
src/muz/pdr/pdr_generalizers.cpp
src/muz/rel/dl_external_relation.cpp
src/muz/transforms/dl_mk_array_blast.cpp
src/muz/transforms/dl_mk_coalesce.cpp
src/muz/transforms/dl_mk_subsumption_checker.cpp
src/muz/transforms/dl_mk_unfold.cpp
src/muz/transforms/dl_transforms.cpp
src/muz/fp/dl_register_engine.cpp
src/muz/duality/duality_dl_interface.cpp
src/muz/rel/check_relation.cpp
src/muz/rel/dl_base.cpp
src/muz/rel/dl_instruction.cpp
src/muz/rel/dl_interval_relation.cpp
src/muz/rel/dl_lazy_table.cpp
src/muz/rel/dl_mk_partial_equiv.cpp
src/muz/rel/dl_mk_similarity_compressor.cpp
src/muz/rel/dl_mk_simple_joins.cpp
src/muz/rel/dl_product_relation.cpp
src/muz/rel/dl_sieve_relation.cpp
src/muz/rel/dl_sparse_table.cpp
src/muz/rel/dl_table.cpp
src/muz/rel/dl_table_relation.cpp
src/muz/rel/udoc_relation.cpp
src/api/api_datalog.cpp
src/muz/fp/dl_cmds.cpp
src/muz/rel/aig_exporter.cpp
src/muz/rel/dl_check_table.cpp
src/muz/rel/dl_compiler.cpp
src/muz/rel/dl_finite_product_relation.cpp
src/muz/rel/dl_mk_explanations.cpp
src/muz/rel/dl_relation_manager.cpp
src/muz/rel/karr_relation.cpp
src/muz/rel/rel_context.cpp
src/shell/datalog_frontend.cpp
src/muz/rel/dl_bound_relation.cpp
g++ -o z3  shell/datalog_frontend.o shell/dimacs_frontend.o shell/main.o shell/opt_frontend.o shell/smtlib_frontend.o shell/z3_log_frontend.o shell/install_tactic.o shell/mem_initializer.o shell/gparams_register_modules.o api/api.a opt/opt.a parsers/smt/smtparser.a tactic/portfolio/portfolio.a sat/sat_solver/sat_solver.a tactic/ufbv/ufbv_tactic.a tactic/fpa/fpa_tactics.a tactic/smtlogics/smtlogic_tactics.a tactic/nlsat_smt/nlsat_smt_tactic.a muz/fp/fp.a muz/duality/duality_intf.a muz/ddnf/ddnf.a muz/bmc/bmc.a muz/tab/tab.a muz/clp/clp.a muz/pdr/pdr.a muz/rel/rel.a muz/transforms/transforms.a muz/dataflow/dataflow.a muz/base/muz.a duality/duality.a qe/qe.a tactic/sls/sls_tactic.a smt/tactic/smt_tactic.a tactic/bv/bv_tactics.a smt/user_plugin/user_plugin.a smt/smt.a smt/proto_model/proto_model.a smt/params/smt_params.a ast/rewriter/bit_blaster/bit_blaster.a ast/pattern/pattern.a ast/macros/macros.a ast/fpa/fpa.a ast/simplifier/simplifier.a ast/proof_checker/proof_checker.a parsers/smt2/smt2parser.a cmd_context/extra_cmds/extra_cmds.a cmd_context/cmd_context.a interp/interp.a solver/solver.a tactic/aig/aig_tactic.a math/subpaving/tactic/subpaving_tactic.a nlsat/tactic/nlsat_tactic.a tactic/arith/arith_tactics.a sat/tactic/sat_tactic.a tactic/core/core_tactics.a math/euclid/euclid.a math/grobner/grobner.a parsers/util/parser_util.a ast/substitution/substitution.a tactic/tactic.a model/model.a ast/normal_forms/normal_forms.a ast/rewriter/rewriter.a ast/ast.a math/subpaving/subpaving.a math/realclosure/realclosure.a math/interval/interval.a math/simplex/simplex.a math/hilbert/hilbert.a nlsat/nlsat.a sat/sat.a math/polynomial/polynomial.a util/util.a  -lpthread -Wl,-z,relro -Wl,-z,now -fopenmp -lrt
g++ -o libz3.so -Wl,-z,relro -Wl,-z,now -fPIC -shared -Wl,-soname,libz3.so.4 api/dll/dll.o api/dll/install_tactic.o api/dll/mem_initializer.o api/dll/gparams_register_modules.o api/api_algebraic.o api/api_arith.o api/api_array.o api/api_ast.o api/api_ast_map.o api/api_ast_vector.o api/api_bv.o api/api_config_params.o api/api_context.o api/api_datalog.o api/api_datatype.o api/api_fpa.o api/api_goal.o api/api_interp.o api/api_log.o api/api_model.o api/api_numeral.o api/api_opt.o api/api_params.o api/api_parsers.o api/api_pb.o api/api_polynomial.o api/api_quant.o api/api_rcf.o api/api_solver.o api/api_solver_old.o api/api_stats.o api/api_tactic.o api/api_user_theory.o api/z3_replayer.o api/api_log_macros.o api/api_commands.o opt/opt.a parsers/smt/smtparser.a tactic/portfolio/portfolio.a sat/sat_solver/sat_solver.a tactic/ufbv/ufbv_tactic.a tactic/fpa/fpa_tactics.a tactic/smtlogics/smtlogic_tactics.a tactic/nlsat_smt/nlsat_smt_tactic.a muz/fp/fp.a muz/duality/duality_intf.a muz/ddnf/ddnf.a muz/bmc/bmc.a muz/tab/tab.a muz/clp/clp.a muz/pdr/pdr.a muz/rel/rel.a muz/transforms/transforms.a muz/dataflow/dataflow.a muz/base/muz.a duality/duality.a qe/qe.a tactic/sls/sls_tactic.a smt/tactic/smt_tactic.a tactic/bv/bv_tactics.a smt/user_plugin/user_plugin.a smt/smt.a smt/proto_model/proto_model.a smt/params/smt_params.a ast/rewriter/bit_blaster/bit_blaster.a ast/pattern/pattern.a ast/macros/macros.a ast/fpa/fpa.a ast/simplifier/simplifier.a ast/proof_checker/proof_checker.a parsers/smt2/smt2parser.a cmd_context/extra_cmds/extra_cmds.a cmd_context/cmd_context.a interp/interp.a solver/solver.a tactic/aig/aig_tactic.a math/subpaving/tactic/subpaving_tactic.a nlsat/tactic/nlsat_tactic.a tactic/arith/arith_tactics.a sat/tactic/sat_tactic.a tactic/core/core_tactics.a math/euclid/euclid.a math/grobner/grobner.a parsers/util/parser_util.a ast/substitution/substitution.a tactic/tactic.a model/model.a ast/normal_forms/normal_forms.a ast/rewriter/rewriter.a ast/ast.a math/subpaving/subpaving.a math/realclosure/realclosure.a math/interval/interval.a math/simplex/simplex.a math/hilbert/hilbert.a nlsat/nlsat.a sat/sat.a math/polynomial/polynomial.a util/util.a  -fopenmp -lrt
mcs /lib:/usr/lib/mono/4.5 /noconfig /unsafe+ /nowarn:1701,1702 /nostdlib+ /errorreport:prompt /warn:4 /reference:mscorlib.dll /reference:System.Core.dll /reference:System.dll /reference:System.Numerics.dll /filealign:512 /linkresource:libz3.dll /out:Microsoft.Z3.dll /target:library /doc:Microsoft.Z3.xml /optimize+ /platform:x86 ../src/api/dotnet/AST.cs ../src/api/dotnet/ASTMap.cs ../src/api/dotnet/ASTVector.cs ../src/api/dotnet/AlgebraicNum.cs ../src/api/dotnet/ApplyResult.cs ../src/api/dotnet/ArithExpr.cs ../src/api/dotnet/ArithSort.cs ../src/api/dotnet/ArrayExpr.cs ../src/api/dotnet/ArraySort.cs ../src/api/dotnet/BitVecExpr.cs ../src/api/dotnet/BitVecNum.cs ../src/api/dotnet/BitVecSort.cs ../src/api/dotnet/BoolExpr.cs ../src/api/dotnet/BoolSort.cs ../src/api/dotnet/Constructor.cs ../src/api/dotnet/ConstructorList.cs ../src/api/dotnet/Context.cs ../src/api/dotnet/DatatypeExpr.cs ../src/api/dotnet/DatatypeSort.cs ../src/api/dotnet/Deprecated.cs ../src/api/dotnet/EnumSort.cs ../src/api/dotnet/Expr.cs ../src/api/dotnet/FPExpr.cs ../src/api/dotnet/FPNum.cs ../src/api/dotnet/FPRMExpr.cs ../src/api/dotnet/FPRMNum.cs ../src/api/dotnet/FPRMSort.cs ../src/api/dotnet/FPSort.cs ../src/api/dotnet/FiniteDomainSort.cs ../src/api/dotnet/Fixedpoint.cs ../src/api/dotnet/FuncDecl.cs ../src/api/dotnet/FuncInterp.cs ../src/api/dotnet/Global.cs ../src/api/dotnet/Goal.cs ../src/api/dotnet/IDecRefQueue.cs ../src/api/dotnet/IntExpr.cs ../src/api/dotnet/IntNum.cs ../src/api/dotnet/IntSort.cs ../src/api/dotnet/IntSymbol.cs ../src/api/dotnet/InterpolationContext.cs ../src/api/dotnet/ListSort.cs ../src/api/dotnet/Log.cs ../src/api/dotnet/Model.cs ../src/api/dotnet/Optimize.cs ../src/api/dotnet/ParamDescrs.cs ../src/api/dotnet/Params.cs ../src/api/dotnet/Pattern.cs ../src/api/dotnet/Probe.cs ../src/api/dotnet/Quantifier.cs ../src/api/dotnet/RatNum.cs ../src/api/dotnet/RealExpr.cs ../src/api/dotnet/RealSort.cs ../src/api/dotnet/RelationSort.cs ../src/api/dotnet/SetSort.cs ../src/api/dotnet/Solver.cs ../src/api/dotnet/Sort.cs ../src/api/dotnet/Statistics.cs ../src/api/dotnet/Status.cs ../src/api/dotnet/StringSymbol.cs ../src/api/dotnet/Symbol.cs ../src/api/dotnet/Tactic.cs ../src/api/dotnet/TupleSort.cs ../src/api/dotnet/UninterpretedSort.cs ../src/api/dotnet/Version.cs ../src/api/dotnet/Z3Exception.cs ../src/api/dotnet/Z3Object.cs ../src/api/dotnet/Enumerations.cs ../src/api/dotnet/Native.cs ../src/api/dotnet/Properties/AssemblyInfo.cs
g++ -Wdate-time -D_FORTIFY_SOURCE=2 -D_MP_INTERNAL -g -O2 -fdebug-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -fvisibility=hidden -c -mfpu=vfp -mfloat-abi=hard -fopenmp -O3 -D _EXTERNAL_RELEASE -fomit-frame-pointer -fno-strict-aliasing -D_LINUX_ -o api/java/Native.o -I"/usr/lib/jvm/java-11-openjdk-armhf/include" -I"/usr/lib/jvm/java-11-openjdk-armhf/include/linux" -I../src/api ../src/api/java/Native.cpp
gcc -Wdate-time -D_FORTIFY_SOURCE=2 -D_MP_INTERNAL -g -O2 -fdebug-prefix-map=/<<PKGBUILDDIR>>=. -fstack-protector-strong -Wformat -Werror=format-security -fvisibility=hidden -c -mfpu=vfp -mfloat-abi=hard -fopenmp -O3 -D _EXTERNAL_RELEASE -fomit-frame-pointer -fno-strict-aliasing -D_LINUX_ -I /usr/lib/ocaml -I ../src/api api/ml/z3native_stubs.c -o api/ml/z3native_stubs.o
../src/api/dotnet/InterpolationContext.cs(34,16): warning CS1574: XML comment on `Microsoft.Z3.InterpolationContext.InterpolationContext(System.Collections.Generic.Dictionary<string,string>)' has cref attribute `Context.Context(Dictionary<string, string>)' that could not be resolved
g++ -o libz3java.so -Wl,-z,relro -Wl,-z,now -fPIC -shared api/java/Native.o libz3.so
"/usr/bin/javac" ../src/api/java/enumerations/*.java -d api/java/classes
Compilation succeeded - 1 warning(s)
"/usr/bin/javac" -cp api/java/classes ../src/api/java/*.java -d api/java/classes
ocamlmklib -o api/ml/z3ml -I api/ml -ldopt "-L. -lz3 -Wl,-z,relro -Wl,-z,now"  api/ml/z3enums.ml api/ml/z3native.ml api/ml/z3.ml api/ml/z3native_stubs.o
Note: Some input files use or override a deprecated API.
Note: Recompile with -Xlint:deprecation for details.
"/usr/bin/jar" cfm com.microsoft.z3.jar ../src/api/java/manifest -C api/java/classes .
Z3 was successfully built.
Z3Py scripts can already be executed in the 'build' directory.
Z3Py scripts stored in arbitrary directories can be also executed if 'build' directory is added to the PYTHONPATH environment variable.
Use the following command to install Z3 at prefix /<<PKGBUILDDIR>>/debian/tmp/usr.
    sudo make install
make[2]: Leaving directory '/<<PKGBUILDDIR>>/build'
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   jh_build -a -O--parallel
   debian/rules override_dh_auto_test
make[1]: Entering directory '/<<PKGBUILDDIR>>'
/usr/bin/make test-z3
make[2]: Entering directory '/<<PKGBUILDDIR>>'
/usr/bin/make -C build test-z3
make[3]: Entering directory '/<<PKGBUILDDIR>>/build'
src/test/algebraic.cpp
src/test/api.cpp
src/test/api_bug.cpp
src/test/arith_rewriter.cpp
src/test/arith_simplifier_plugin.cpp
src/test/ast.cpp
src/test/bit_blaster.cpp
src/test/bit_vector.cpp
src/test/bits.cpp
src/test/buffer.cpp
src/test/bv_simplifier_plugin.cpp
src/test/chashtable.cpp
src/test/check_assumptions.cpp
src/test/datalog_parser.cpp
src/test/ddnf.cpp
src/test/diff_logic.cpp
src/test/dl_context.cpp
src/test/dl_product_relation.cpp
src/test/dl_query.cpp
src/test/dl_relation.cpp
src/test/dl_table.cpp
src/test/dl_util.cpp
src/test/doc.cpp
src/test/escaped.cpp
src/test/ex.cpp
src/test/expr_rand.cpp
src/test/expr_substitution.cpp
src/test/ext_numeral.cpp
src/test/f2n.cpp
src/test/factor_rewriter.cpp
src/test/fixed_bit_vector.cpp
src/test/for_each_file.cpp
src/test/get_implied_equalities.cpp
src/test/hashtable.cpp
src/test/heap.cpp
src/test/heap_trie.cpp
src/test/hilbert_basis.cpp
src/test/horn_subsume_model_converter.cpp
src/test/hwf.cpp
src/test/inf_rational.cpp
src/test/interval.cpp
src/test/karr.cpp
src/test/list.cpp
src/test/map.cpp
src/test/matcher.cpp
src/test/memory.cpp
src/test/model2expr.cpp
src/test/model_retrieval.cpp
src/test/mpbq.cpp
src/test/mpf.cpp
src/test/mpfx.cpp
src/test/mpq.cpp
src/test/nlarith_util.cpp
src/test/nlsat.cpp
src/test/no_overflow.cpp
src/test/object_allocator.cpp
src/test/old_interval.cpp
src/test/optional.cpp
src/test/parray.cpp
src/test/pdr.cpp
src/test/permutation.cpp
src/test/polynomial.cpp
src/test/polynomial_factorization.cpp
src/test/polynorm.cpp
src/test/prime_generator.cpp
src/test/proof_checker.cpp
src/test/qe_arith.cpp
src/test/quant_elim.cpp
src/test/quant_solve.cpp
src/test/random.cpp
src/test/rational.cpp
src/test/rcf.cpp
src/test/region.cpp
src/test/sat_user_scope.cpp
src/test/simple_parser.cpp
src/test/simplex.cpp
src/test/simplifier.cpp
src/test/small_object_allocator.cpp
src/test/smt2print_parse.cpp
src/test/smt_context.cpp
src/test/sorting_network.cpp
src/test/stack.cpp
src/test/string_buffer.cpp
src/test/substitution.cpp
src/test/symbol.cpp
src/test/symbol_table.cpp
src/test/tbv.cpp
src/test/theory_dl.cpp
src/test/theory_pb.cpp
src/test/timeout.cpp
src/test/total_order.cpp
src/test/trigo.cpp
src/test/udoc_relation.cpp
src/test/uint_set.cpp
src/test/upolynomial.cpp
src/test/var_subst.cpp
src/test/vector.cpp
src/test/main.cpp
src/test/mpff.cpp
src/test/mpz.cpp
src/test/install_tactic.cpp
src/test/mem_initializer.cpp
src/test/gparams_register_modules.cpp
src/api/api_interp.cpp
src/api/api_solver.cpp
src/test/fuzzing/expr_delta.cpp
src/test/fuzzing/expr_rand.cpp
src/smt/smt_implied_equalities.cpp
g++ -o test-z3  test/algebraic.o test/api.o test/api_bug.o test/arith_rewriter.o test/arith_simplifier_plugin.o test/ast.o test/bit_blaster.o test/bit_vector.o test/bits.o test/buffer.o test/bv_simplifier_plugin.o test/chashtable.o test/check_assumptions.o test/datalog_parser.o test/ddnf.o test/diff_logic.o test/dl_context.o test/dl_product_relation.o test/dl_query.o test/dl_relation.o test/dl_table.o test/dl_util.o test/doc.o test/escaped.o test/ex.o test/expr_rand.o test/expr_substitution.o test/ext_numeral.o test/f2n.o test/factor_rewriter.o test/fixed_bit_vector.o test/for_each_file.o test/get_implied_equalities.o test/hashtable.o test/heap.o test/heap_trie.o test/hilbert_basis.o test/horn_subsume_model_converter.o test/hwf.o test/inf_rational.o test/interval.o test/karr.o test/list.o test/map.o test/matcher.o test/memory.o test/model2expr.o test/model_retrieval.o test/mpbq.o test/mpf.o test/mpfx.o test/mpq.o test/nlarith_util.o test/nlsat.o test/no_overflow.o test/object_allocator.o test/old_interval.o test/optional.o test/parray.o test/pdr.o test/permutation.o test/polynomial.o test/polynomial_factorization.o test/polynorm.o test/prime_generator.o test/proof_checker.o test/qe_arith.o test/quant_elim.o test/quant_solve.o test/random.o test/rational.o test/rcf.o test/region.o test/sat_user_scope.o test/simple_parser.o test/simplex.o test/simplifier.o test/small_object_allocator.o test/smt2print_parse.o test/smt_context.o test/sorting_network.o test/stack.o test/string_buffer.o test/substitution.o test/symbol.o test/symbol_table.o test/tbv.o test/theory_dl.o test/theory_pb.o test/timeout.o test/total_order.o test/trigo.o test/udoc_relation.o test/uint_set.o test/upolynomial.o test/var_subst.o test/vector.o test/main.o test/mpff.o test/mpz.o test/install_tactic.o test/mem_initializer.o test/gparams_register_modules.o api/api.a opt/opt.a parsers/smt/smtparser.a tactic/portfolio/portfolio.a sat/sat_solver/sat_solver.a tactic/ufbv/ufbv_tactic.a tactic/fpa/fpa_tactics.a tactic/smtlogics/smtlogic_tactics.a tactic/nlsat_smt/nlsat_smt_tactic.a muz/fp/fp.a muz/duality/duality_intf.a muz/ddnf/ddnf.a muz/bmc/bmc.a muz/tab/tab.a muz/clp/clp.a muz/pdr/pdr.a muz/rel/rel.a muz/transforms/transforms.a muz/dataflow/dataflow.a muz/base/muz.a duality/duality.a qe/qe.a tactic/sls/sls_tactic.a smt/tactic/smt_tactic.a test/fuzzing/fuzzing.a tactic/bv/bv_tactics.a smt/user_plugin/user_plugin.a smt/smt.a smt/proto_model/proto_model.a smt/params/smt_params.a ast/rewriter/bit_blaster/bit_blaster.a ast/pattern/pattern.a ast/macros/macros.a ast/fpa/fpa.a ast/simplifier/simplifier.a ast/proof_checker/proof_checker.a parsers/smt2/smt2parser.a cmd_context/cmd_context.a interp/interp.a solver/solver.a tactic/aig/aig_tactic.a math/subpaving/tactic/subpaving_tactic.a nlsat/tactic/nlsat_tactic.a tactic/arith/arith_tactics.a sat/tactic/sat_tactic.a tactic/core/core_tactics.a math/euclid/euclid.a math/grobner/grobner.a parsers/util/parser_util.a ast/substitution/substitution.a tactic/tactic.a model/model.a ast/normal_forms/normal_forms.a ast/rewriter/rewriter.a ast/ast.a math/subpaving/subpaving.a math/realclosure/realclosure.a math/interval/interval.a math/simplex/simplex.a math/hilbert/hilbert.a nlsat/nlsat.a sat/sat.a math/polynomial/polynomial.a util/util.a  -lpthread -Wl,-z,relro -Wl,-z,now -fopenmp -lrt
make[3]: Leaving directory '/<<PKGBUILDDIR>>/build'
make[2]: Leaving directory '/<<PKGBUILDDIR>>'
build/test-z3 -a
PASS
(test random :time 0.00 :before-memory 0.02 :after-memory 0.02)
PASS
(test random :time 0.00 :before-memory 0.02 :after-memory 0.02)
resize 1000000000
out of memory
PASS
(test vector :time 0.04 :before-memory 0.02 :after-memory 876.88)
resize 1000000000
out of memory
PASS
(test vector :time 0.03 :before-memory 876.88 :after-memory 1461.46)
PASS
(test symbol_table :time 0.00 :before-memory 1461.46 :after-memory 1461.46)
PASS
(test symbol_table :time 0.00 :before-memory 1461.46 :after-memory 1461.46)
PASS
(test region :time 0.00 :before-memory 1461.46 :after-memory 1461.46)
PASS
(test region :time 0.00 :before-memory 1461.46 :after-memory 1461.46)
foo boo foo
PASS
(test symbol :time 0.00 :before-memory 1461.46 :after-memory 1461.46)
foo boo foo
PASS
(test symbol :time 0.00 :before-memory 1461.46 :after-memory 1461.46)
i: 0
i: 1000
i: 2000
i: 3000
i: 4000
i: 5000
i: 6000
i: 7000
i: 8000
i: 9000
i: 10000
i: 11000
i: 12000
i: 13000
i: 14000
i: 15000
i: 16000
i: 17000
i: 18000
i: 19000
i: 20000
i: 21000
i: 22000
i: 23000
i: 24000
i: 25000
i: 26000
i: 27000
i: 28000
i: 29000
i: 30000
i: 31000
i: 32000
i: 33000
i: 34000
i: 35000
i: 36000
i: 37000
i: 38000
i: 39000
i: 40000
i: 41000
i: 42000
i: 43000
i: 44000
i: 45000
i: 46000
i: 47000
i: 48000
i: 49000
i: 50000
i: 51000
i: 52000
i: 53000
i: 54000
i: 55000
i: 56000
i: 57000
i: 58000
i: 59000
i: 60000
i: 61000
i: 62000
i: 63000
i: 64000
i: 65000
i: 66000
i: 67000
i: 68000
i: 69000
i: 70000
i: 71000
i: 72000
i: 73000
i: 74000
i: 75000
i: 76000
i: 77000
i: 78000
i: 79000
i: 80000
i: 81000
i: 82000
i: 83000
i: 84000
i: 85000
i: 86000
i: 87000
i: 88000
i: 89000
i: 90000
i: 91000
i: 92000
i: 93000
i: 94000
i: 95000
i: 96000
i: 97000
i: 98000
i: 99000
PASS
(test heap :time 0.06 :before-memory 1461.46 :after-memory 1461.46)
i: 0
i: 1000
i: 2000
i: 3000
i: 4000
i: 5000
i: 6000
i: 7000
i: 8000
i: 9000
i: 10000
i: 11000
i: 12000
i: 13000
i: 14000
i: 15000
i: 16000
i: 17000
i: 18000
i: 19000
i: 20000
i: 21000
i: 22000
i: 23000
i: 24000
i: 25000
i: 26000
i: 27000
i: 28000
i: 29000
i: 30000
i: 31000
i: 32000
i: 33000
i: 34000
i: 35000
i: 36000
i: 37000
i: 38000
i: 39000
i: 40000
i: 41000
i: 42000
i: 43000
i: 44000
i: 45000
i: 46000
i: 47000
i: 48000
i: 49000
i: 50000
i: 51000
i: 52000
i: 53000
i: 54000
i: 55000
i: 56000
i: 57000
i: 58000
i: 59000
i: 60000
i: 61000
i: 62000
i: 63000
i: 64000
i: 65000
i: 66000
i: 67000
i: 68000
i: 69000
i: 70000
i: 71000
i: 72000
i: 73000
i: 74000
i: 75000
i: 76000
i: 77000
i: 78000
i: 79000
i: 80000
i: 81000
i: 82000
i: 83000
i: 84000
i: 85000
i: 86000
i: 87000
i: 88000
i: 89000
i: 90000
i: 91000
i: 92000
i: 93000
i: 94000
i: 95000
i: 96000
i: 97000
i: 98000
i: 99000
PASS
(test heap :time 0.06 :before-memory 1461.46 :after-memory 1461.46)
PASS
(test hashtable :time 0.00 :before-memory 1461.46 :after-memory 1461.46)
PASS
(test hashtable :time 0.00 :before-memory 1461.46 :after-memory 1461.46)
sizeof(rational): 16
int64_max: 9223372036854775807, INT64_MAX: 9223372036854775807, int64_max.get_int64(): 9223372036854775807, int64_max.get_uint64(): 9223372036854775807
running tst6
running tst7
running tst8
running tst9
41000000000000 -7000000000000 -5 6000000000000
41000000000000 == 41000000000000
-41000000000000 -7000000000000 6 1000000000000
-41000000000000 == -41000000000000
-41000000000000 7000000000000 -6 1000000000000
-41000000000000 == -41000000000000
41000000000000 7000000000000 5 6000000000000
41000000000000 == 41000000000000
41 -7 -5 6
41 == 41
-41 -7 6 1
-41 == -41
-41 7 -6 1
-41 == -41
41 7 5 6
41 == 41
running rational_tester::tst1
(multiplication with big rationals :time 23.39 :before-memory 1461.69 :after-memory 1511.13)
(multiplication with floats:  :time 0.00 :before-memory 1511.13 :after-memory 1511.13)

Testing multiplication performace using small ints
(multiplication with rationals :time 0.08 :before-memory 1500.81 :after-memory 1500.81)
(multiplication with floats:  :time 0.01 :before-memory 1500.81 :after-memory 1500.81)

Testing multiplication performace using small rationals
(multiplication with rationals :time 0.99 :before-memory 1500.81 :after-memory 1500.81)
(multiplication with floats:  :time 0.01 :before-memory 1500.81 :after-memory 1500.81)

PASS
(test rational :time 27.88 :before-memory 1461.46 :after-memory 1464.77)
sizeof(rational): 16
int64_max: 9223372036854775807, INT64_MAX: 9223372036854775807, int64_max.get_int64(): 9223372036854775807, int64_max.get_uint64(): 9223372036854775807
running tst6
running tst7
running tst8
running tst9
41000000000000 -7000000000000 -5 6000000000000
41000000000000 == 41000000000000
-41000000000000 -7000000000000 6 1000000000000
-41000000000000 == -41000000000000
-41000000000000 7000000000000 -6 1000000000000
-41000000000000 == -41000000000000
41000000000000 7000000000000 5 6000000000000
41000000000000 == 41000000000000
41 -7 -5 6
41 == 41
-41 -7 6 1
-41 == -41
-41 7 -6 1
-41 == -41
41 7 5 6
41 == 41
running rational_tester::tst1
(multiplication with big rationals :time 23.45 :before-memory 1465.00 :after-memory 1511.21)
(multiplication with floats:  :time 0.00 :before-memory 1511.21 :after-memory 1511.21)

Testing multiplication performace using small ints
(multiplication with rationals :time 0.08 :before-memory 1500.85 :after-memory 1500.85)
(multiplication with floats:  :time 0.01 :before-memory 1500.85 :after-memory 1500.85)

Testing multiplication performace using small rationals
(multiplication with rationals :time 1.03 :before-memory 1500.85 :after-memory 1500.85)
(multiplication with floats:  :time 0.01 :before-memory 1500.85 :after-memory 1500.85)

PASS
(test rational :time 28.14 :before-memory 1464.77 :after-memory 1464.80)
PASS
(test inf_rational :time 0.00 :before-memory 1464.80 :after-memory 1464.80)
PASS
(test inf_rational :time 0.00 :before-memory 1464.80 :after-memory 1464.80)
PASS
(test ast :time 0.00 :before-memory 1464.80 :after-memory 1464.80)
PASS
(test ast :time 0.00 :before-memory 1464.80 :after-memory 1464.80)
PASS
(test optional :time 0.00 :before-memory 1464.80 :after-memory 1464.80)
PASS
(test optional :time 0.00 :before-memory 1464.80 :after-memory 1464.80)
b: 000001000001100000001000000000100001000000000000000000000000000000000000000001111000000000000000000010000000000
b: 0000010000011000000010000000001000010000000000000000000000000000000000000000011110000000000000000000100000000000000000000000000
b: 00000100000110000000100000000010000100000000000000000000000000000000000000000111100000000000000000001000000000000000000000000000
b: 0000010000011000000010000000001000010000000000000000000000000000000000000000011110000000000000000000100000000000000000000000000000000000000000000000000000000000
b: 0000010000011000000010000000001000010000000000000000000000000000000000000000011110000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
b: 00000100000110000000100000000010000100000000000000000000000000000000000000000111100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
b: 00000100000110000000100000000010000100000000000000000000000000000000000000000111100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
10000
0100001110
0100011110
-----
10001
b1(size32): 00000000000000000000000100100011
------
b1: 10100
------
b1: 00100
PASS
(test bit_vector :time 0.00 :before-memory 1464.80 :after-memory 1464.80)
b: 000001000001100000001000000000100001000000000000000000000000000000000000000001111000000000000000000010000000000
b: 0000010000011000000010000000001000010000000000000000000000000000000000000000011110000000000000000000100000000000000000000000000
b: 00000100000110000000100000000010000100000000000000000000000000000000000000000111100000000000000000001000000000000000000000000000
b: 0000010000011000000010000000001000010000000000000000000000000000000000000000011110000000000000000000100000000000000000000000000000000000000000000000000000000000
b: 0000010000011000000010000000001000010000000000000000000000000000000000000000011110000000000000000000100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
b: 00000100000110000000100000000010000100000000000000000000000000000000000000000111100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
b: 00000100000110000000100000000010000100000000000000000000000000000000000000000111100000000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
10000
0100001110
0100011110
-----
10001
b1(size32): 00000000000000000000000100100011
------
b1: 10100
------
b1: 00100
PASS
(test bit_vector :time 0.00 :before-memory 1464.80 :after-memory 1464.80)
0000010000
0100001110
0100011110
PASS
(test fixed_bit_vector :time 0.00 :before-memory 1464.80 :after-memory 1464.80)
0000010000
0100001110
0100011110
PASS
(test fixed_bit_vector :time 0.00 :before-memory 1464.80 :after-memory 1464.80)
[]
[]
[]
0000000000000000000000000000000
1111111111111111111111111111111
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
0000000000000000000000000011111
11111111111111111111111111x1011 -> 11111111111111111111111111x01
00000000000
11111111111
xxxxxxxxxxx
00000011111
111111x1011 -> 111111x01
000000000000000
111111111111111
xxxxxxxxxxxxxxx
000000000011111
1111111111x1011 -> 1111111111x01
0000000000000000
1111111111111111
xxxxxxxxxxxxxxxx
0000000000011111
11111111111x1011 -> 11111111111x01
00000000000000000
11111111111111111
xxxxxxxxxxxxxxxxx
00000000000011111
111111111111x1011 -> 111111111111x01
PASS
(test tbv :time 0.00 :before-memory 1464.80 :after-memory 1464.80)
[]
[]
[]
0000000000000000000000000000000
1111111111111111111111111111111
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
0000000000000000000000000011111
11111111111111111111111111x1011 -> 11111111111111111111111111x01
00000000000
11111111111
xxxxxxxxxxx
00000011111
111111x1011 -> 111111x01
000000000000000
111111111111111
xxxxxxxxxxxxxxx
000000000011111
1111111111x1011 -> 1111111111x01
0000000000000000
1111111111111111
xxxxxxxxxxxxxxxx
0000000000011111
11111111111x1011 -> 11111111111x01
00000000000000000
11111111111111111
xxxxxxxxxxxxxxxxx
00000000000011111
111111111111x1011 -> 111111111111x01
PASS
(test tbv :time 0.00 :before-memory 1464.80 :after-memory 1464.80)
xxxx \ {xxx0}
xxx
(or (and true (not (not true))) (and true (not (not false)))) true
{xx10}
{xxxx \ {x0x1, x1x0}}
{x110}
11111
00000
xxxxx
01010
10100
00000
xxxxx
11111 \ {00000} -> 11111
11111 -> 111
x1x11 -> xx1
x1x11 \ {11111} -> xx1 \ {111}
1111111111
0000000000
xxxxxxxxxx
0000001010
0000010100
0000000000
xxxxxxxxxx
1111111111 \ {
   0000000000} -> 1111111111
1111111111 -> 11111111
11111x1x11 -> 11111xx1
11111x1x11 \ {
   1111111111} -> 11111xx1 \ {11111111}
1111111111111111111111111111111111111111111111111111111111111111111111
0000000000000000000000000000000000000000000000000000000000000000000000
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
0000000000000000000000000000000000000000000000000000000000000000001010
0000000000000000000000000000000000000000000000000000000000000000010100
0000000000000000000000000000000000000000000000000000000000000000000000
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
1111111111111111111111111111111111111111111111111111111111111111111111 \ {
   0000000000000000000000000000000000000000000000000000000000000000000000} -> 1111111111111111111111111111111111111111111111111111111111111111111111
1111111111111111111111111111111111111111111111111111111111111111111111 -> 11111111111111111111111111111111111111111111111111111111111111111111
11111111111111111111111111111111111111111111111111111111111111111x1x11 -> 11111111111111111111111111111111111111111111111111111111111111111xx1
11111111111111111111111111111111111111111111111111111111111111111x1x11 \ {
   1111111111111111111111111111111111111111111111111111111111111111111111} -> 11111111111111111111111111111111111111111111111111111111111111111xx1 \ {
   11111111111111111111111111111111111111111111111111111111111111111111}
PASS
(test doc :time 262.46 :before-memory 1464.80 :after-memory 1464.84)
xxxx \ {xxx0}
xxx
(or (and true (not (not true))) (and true (not (not false)))) true
{xx10}
{xxxx \ {x0x1, x1x0}}
{x110}
11111
00000
xxxxx
01010
10100
00000
xxxxx
11111 \ {00000} -> 11111
11111 -> 111
x1x11 -> xx1
x1x11 \ {11111} -> xx1 \ {111}
1111111111
0000000000
xxxxxxxxxx
0000001010
0000010100
0000000000
xxxxxxxxxx
1111111111 \ {
   0000000000} -> 1111111111
1111111111 -> 11111111
11111x1x11 -> 11111xx1
11111x1x11 \ {
   1111111111} -> 11111xx1 \ {11111111}
1111111111111111111111111111111111111111111111111111111111111111111111
0000000000000000000000000000000000000000000000000000000000000000000000
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
0000000000000000000000000000000000000000000000000000000000000000001010
0000000000000000000000000000000000000000000000000000000000000000010100
0000000000000000000000000000000000000000000000000000000000000000000000
xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
1111111111111111111111111111111111111111111111111111111111111111111111 \ {
   0000000000000000000000000000000000000000000000000000000000000000000000} -> 1111111111111111111111111111111111111111111111111111111111111111111111
1111111111111111111111111111111111111111111111111111111111111111111111 -> 11111111111111111111111111111111111111111111111111111111111111111111
11111111111111111111111111111111111111111111111111111111111111111x1x11 -> 11111111111111111111111111111111111111111111111111111111111111111xx1
11111111111111111111111111111111111111111111111111111111111111111x1x11 \ {
   1111111111111111111111111111111111111111111111111111111111111111111111} -> 11111111111111111111111111111111111111111111111111111111111111111xx1 \ {
   11111111111111111111111111111111111111111111111111111111111111111111}
PASS
(test doc :time 269.99 :before-memory 1464.84 :after-memory 1464.84)
{xxx \ {0x1}}
{xxx \ {0x0, 1x1}}
{0xxx \ {00xx, 0101, 0111}}
{}
{}
{0x01 \ {0001, 0101, 0101}}
{}
{}
{x1xx \ {01xx, 0101, x100}, x1x1 \ {x111, 1101}}
{}
{}
{}
{}
{}
{}
{x1xx \ {x10x, 11x1, 0100}}
{}
{1xx1 \ {1001, 1x11, 1011}}
{1xx0 \ {1000, 1x00, 1100}, 1xxx \ {11x1, 1x11, 1111}}
{x1x1 \ {1101, 0111, x111, 11x1}}
{xxx0 \ {x110, 0010, x000}}
{}
{}
{xx00 \ {0000, x000}, 0x00 \ {0000, 0100, 0100}}
{10xx \ {1001, 1000, 1010}}
{0000 \ {0000}}
{1x1x \ {1x10, 1x11}}
{x11x \ {0111, x111}}
{1x1x \ {1110, 1011, 1x10, 1x11, 111x}}
{}
{1x0x \ {1x01, 1000, 1000}}
{}
{0xx0 \ {0000, 00x0, 0100}}
{}
{}
{x1x1 \ {0101, 11x1, 1111}, 0x11 \ {0011}}
{10x0 \ {1000, 1010}}
{}
{xxxx \ {011x, 1x01}, 0xx1 \ {0x01, 00x1, 0011}, 1xxx \ {11xx, 11x0, 100x}}
{x10x \ {110x, 0101, 0100}, 1x01 \ {1101}}
{0x0x \ {0100, 0001, 010x, 000x}, 0101}
{0xx0 \ {0000, 0110, 0x00}}
{}
{}
{10xx \ {10x1, 10x0, 1000}}
{1xx0 \ {1x10, 11x0, 1010}, xxx1 \ {x1x1, 0011, x101}}
{x0x0 \ {x0x0}, x1x1 \ {x1x1}}
{x1x1 \ {1101, x101}, 0x0x \ {0001, 0101, 010x}}
{}
{}
{01xx \ {011x, 010x, 0110}, x000 \ {1000, 0000}}
{xx1x \ {xx10, 101x, 101x}, 0x10 \ {0010, 0110, 0110}}
{1x1x \ {1x1x}, 1010 \ {1010}}
{x0x0 \ {x010, x000, 10x0}}
{0xx1 \ {0101, 0111, 0011}, 0x00 \ {0000}}
{0000 \ {0000}}
{x1x0 \ {1100, 1110, 0110}}
{100x \ {1001, 1000}}
{0000 \ {0000}}
{1xx1 \ {1111, 11x1, 1101}, x0xx \ {x001, x000, x0x0}}
{0x00 \ {0000}, xx1x \ {001x, 1x11, 1x11}}
{1111, 0000 \ {0000}, 1x1x \ {1110, 1011, 1x10}}
{1x1x \ {1111, 101x, 1010}}
{xx1x \ {111x, 001x, xx10}}
{1x1x \ {1110, 1011, 101x, 1x11}}
{}
{0xx0 \ {0x00, 0110, 0100}}
{}
{0x1x \ {0111, 001x, 0x11}}
{00x0 \ {0010, 0000}}
{1010 \ {1010}}
{100x \ {1000}, xx10 \ {0110, x010, 0x10}, xx0x \ {1101, 1100, 100x}}
{0x0x \ {000x, 0001, 0100}}
{0x0x \ {0100, 0001, 000x}}
{x0xx \ {x001, 10x1, x01x}}
{x0xx \ {1011, 0000}, 110x \ {1101, 1100, 1100}}
{xxxx \ {x1x0, x0x1, 1x0x, 0x1x, xx01, xx1x}, 0x0x \ {0100, 0001, 0x01, 010x, 000x, 000x}}
{x001 \ {1001, 0001}}
{xx0x \ {1100, 0x0x, x10x}, 000x \ {0001}}
{0101 \ {0101}}
{x001 \ {1001, 0001, 0001}}
{10xx \ {1011, 1001, 10x0}}
{0101 \ {0101}}
{}
{0x00 \ {0000, 0100}}
{}
{x1xx \ {01x1, 010x, x1x0}}
{011x \ {0111, 0110}, x00x \ {x001, 1000}, xxxx \ {0000, 00xx, 0111}}
{1x1x \ {1110, 1011, 1x10, 111x, 101x}, 0x0x \ {0100, 0001, 0x00, 010x}, xxxx \ {x1x0, x0x1, 1x0x, 0x1x, xxx0}}
{01xx \ {01x1, 0110}}
{}
{}
{x111 \ {0111, 1111}, 101x \ {1010, 1011}}
{}
{}
{x101 \ {1101}}
{x1xx \ {1101, 01xx, x101}, 1x0x \ {1x01, 1x00}}
{0101 \ {0101}}
{001x \ {0010}, 1x1x \ {1111, 1010, 1x10}}
{0x0x \ {0000, 0x01, 000x}, 10xx \ {100x, 10x0, 1011}}
{1x1x \ {1110, 1011, 1x10, 101x, 111x}}
{}
{1x00 \ {1000}}
{}
{xx11 \ {0011, 1111, 1111}}
{xxx1 \ {1101, 1111, 0111}}
{1111}
{00xx \ {00x0, 00x1, 0001}}
{10x0 \ {1000}, x10x \ {0100, x101, x100}}
{x0x0 \ {x0x0}, 0x0x \ {
   0100, 0001, 0x00, 0x01, 0x01, 010x, 000x}}
{xx01 \ {1001, 0x01, 0101}}
{011x \ {0111, 0110}}
{}
{}
{x1xx \ {x10x, 1101, 0111}, xx11 \ {0111, 1111, 1x11}}
{}
{xx00 \ {0000, 0x00, 0100}}
{x11x \ {0111, 111x, x111}, x01x \ {x011, x010, x010}}
{}
{11x1 \ {1101}}
{1x1x \ {1011, 1110, 1x10}}
{1111}
{0x00 \ {0000, 0100}}
{0xxx \ {0x00, 0101, 0001}}
{0000 \ {0000}}
{x0x0 \ {10x0, 1000}, 0x0x \ {0x00, 0000, 010x}}
{xxx1 \ {xx11, xx01, x0x1}, 0xx0 \ {0100, 01x0}}
{x0x0 \ {1000, 0010}, 0101 \ {0101}, 0000 \ {0000}}
{x1x0 \ {01x0, 0110}}
{x010 \ {1010, 0010}}
{1010 \ {1010}}
{x1x0 \ {1110, 1100, x100}}
{1xx1 \ {1011, 1111}}
{}
{0xx0 \ {0000, 0x00, 01x0}}
{x0x1 \ {x001, 1001, 0011}, 01xx \ {0111, 0110, 010x}, 0xx1 \ {0101, 0111, 0111}}
{x0x0 \ {1000, 0010, x000, 10x0, 00x0, x000}}
{1x0x \ {1x00, 1100}, x0xx \ {x00x, 1000, x001}, 100x \ {1001, 1000}}
{xx0x \ {xx01, 1100, 010x}}
{0x0x \ {0100, 0001, 0x00, 010x}}
{1x1x \ {111x, 1010}, x001 \ {1001, 0001}}
{xx0x \ {0000, x000, 1101}}
{0101 \ {0101}}
{xx11 \ {0111, 0011, 0011}, 00x0 \ {0010, 0000}}
{0xxx \ {0x1x, 011x, 011x}}
{1111 \ {1111}, x0x0 \ {1000, 0010, x010, x000, 10x0}}
{}
{11x1 \ {1101, 1111}, xxx1 \ {0x11, xx11, 1x01}}
{}
{0xx1 \ {0x01, 00x1, 0111}, xx01 \ {1001, x001, x101}, 1xx0 \ {1x10, 1000, 1100}}
{01xx \ {011x, 01x0, 01x1}}
{x1x1 \ {x1x1}, 0101 \ {0101}, x0x0 \ {x0x0}}
{x0xx \ {0000, 10x1, 10x1}}
{x010 \ {1010, 0010}}
{1010 \ {1010}}
{xx00 \ {1000, 0x00, x000}, 00x0 \ {0000, 0010}}
{x100 \ {0100, 1100, 1100}, xx00 \ {x100, x000, 1000}}
{0000 \ {0000}}
{x010 \ {1010, 0010, 0010}, 000x \ {0001}}
{10xx \ {10x1, 101x}}
{1010 \ {1010}, 0x0x \ {0100, 0001, 0x01, 010x}}
{x1xx \ {11x1, x10x, 1100}, 0x11 \ {0111, 0011}}
{}
{}
{0x10 \ {0110}}
{}
{}
{}
{xx11 \ {1x11, x011}, 111x \ {1110}}
{}
{xx1x \ {0x10, x011, 111x}}
{0xx0 \ {0100, 01x0, 00x0}, 10xx \ {10x1, 1010}}
{1010 \ {1010}, 1x1x \ {1110, 1011, 111x, 101x}}
{}
{011x \ {0111, 0110}, 01x1 \ {0111, 0101}}
{}
{x1x0 \ {1100, 01x0, 1110}, 1x0x \ {1000, 110x}}
{10xx \ {1000, 100x, 1011}, 0xx0 \ {0100, 0x10, 0x00}, 00xx \ {001x, 00x1, 0011}}
{x0x0 \ {1000, 0010, 00x0, 00x0, x000, x010}, x0x0 \ {1000, 0010, 10x0, x000, x010}, 0000 \ {0000}, 0x0x \ {0100, 0001, 010x, 0x00}}
{11x0 \ {1110, 1100, 1100}}
{1x1x \ {111x, 1x11, 1111}, x110 \ {0110, 1110, 1110}, 00xx \ {00x0, 000x, 0011}}
{1010 \ {1010}, x0x0 \ {x0x0}}
{0x11 \ {0111, 0011, 0011}, x1xx \ {110x, 111x, 0100}}
{xxxx \ {110x, xx10, 11x0}}
{1111 \ {1111}, xxxx \ {x1x0, x0x1, 1x0x, 0x1x, 10xx, xx00}}
{}
{xx0x \ {xx00, 0000, x001}, 0x01 \ {0101}, xx0x \ {xx01, 1001, x100}}
{}
{0xxx \ {0010, 0x00, 0xx0}}
{xx00 \ {x100, 1x00, 1000}}
{0000 \ {0000}}
{xxx0 \ {1100, 0010, 1x10}, xx01 \ {1001, 0101}}
{x010 \ {0010, 1010}}
{1010 \ {1010}}
{x111 \ {1111, 0111}, x00x \ {1001, 0001, 0001}}
{010x \ {0100}}
{0x0x \ {0100, 0001, 000x, 0x01, 0x01}}
{xx11 \ {0011, x111, 0x11}, 1x00 \ {1000, 1100}}
{1xx1 \ {1x01, 1101, 1101}, 010x \ {0101, 0100}}
{1111, 0000 \ {0000}}
{00xx \ {00x1, 001x, 0001}}
{x11x \ {0111, 0110, 011x}}
{1x1x \ {1x1x}}
{0xxx \ {010x, 0x01}}
{1x11 \ {1111, 1011, 1011}}
{1111 \ {1111}}
{x1x0 \ {0110, 0100}, x01x \ {x010, 001x, 0010}}
{}
{}
{1xxx \ {1101, 10x0, 1x11}, x1x1 \ {01x1, 1111}}
{00x1 \ {0001, 0011}}
{x1x1 \ {1101, 0111, x111, 01x1, 11x1}}
{0x01 \ {0001}, xxx1 \ {1x01, 0001, 10x1}}
{1x1x \ {1x11, 1011, 1011}, 00xx \ {000x, 001x, 00x1}}
{0101 \ {0101}, 1111 \ {1111}, x1x1 \ {x1x1}}
{1xxx \ {1xx0, 111x, 1x1x}, x0x1 \ {0011, 10x1}, x01x \ {101x, 001x}}
{10x0 \ {1010, 1000}, 11x1 \ {1111, 1101, 1101}}
{x0x0 \ {x0x0}, x1x1 \ {1101, 0111, x111, 11x1, 01x1, 01x1}, 1010 \ {1010}, 1111 \ {1111}}
{x01x \ {1010, x010, 0011}}
{1x11 \ {1111, 1011}}
{1111 \ {1111}}
{}
{010x \ {0100, 0101}, xx00 \ {x000, 0100}}
{}
{xxx0 \ {x100, x010, 1x00}, xxx1 \ {0001, 1011, 1x01}}
{x010 \ {1010, 0010}, xx0x \ {x101, x10x, 1000}}
{1010 \ {1010}, 0000, 0101}
{x0xx \ {1000, 1010, 00x0}, xx00 \ {0100, 1x00, 0x00}}
{01xx \ {0101, 01x0, 0100}}
{xxxx \ {
   x1x0, x0x1, 1x0x, 0x1x, 01xx, x0xx, 00xx, xx00, xx10}, 0000 \ {0000}}
{x0x1 \ {0001, 1011}, 010x \ {0101}}
{x110 \ {1110, 0110, 0110}, 0x00 \ {0000}, 10xx \ {1001, 101x, 1010}}
{x1x1 \ {1101, 0111, 01x1, 11x1}, 0000, 0x0x \ {0100, 0001, 0x01, 010x}}
{00xx \ {00x0, 000x, 0001}}
{101x \ {1011, 1010, 1010}}
{1x1x \ {1110, 1011, 1x10, 111x, 101x, 101x}}
{01xx \ {0100, 0101}, 10xx \ {10x1, 1001, 1011}}
{xx01 \ {1001, x001, 0001}, 0xx1 \ {0111, 0001, 0101}}
{0101 \ {0101}, x1x1 \ {1101, 0111, x101, 01x1}}
{11x1 \ {1111, 1101, 1101}, x0x1 \ {10x1, 00x1}}
{xxxx \ {0x11, 0x1x, 00x0}, x111 \ {0111, 1111}, x10x \ {0101, 110x, 1101}}
{x1x1 \ {1101, 0111, x111, x101, x101}, 1111 \ {1111}, 0101 \ {0101}}
{000x \ {0001, 0000, 0000}, xx10 \ {0110, x010, 1x10}}
{01xx \ {01x1, 011x, 0101}}
{0x0x \ {
   0100, 0001, 0x01, 0x00, 0x00, 010x, 010x}, 1010 \ {1010}}
{10xx \ {101x, 10x0, 10x0}, 1x0x \ {1x01, 1000, 110x}}
{x011 \ {0011, 1011}, xxx1 \ {1011, 0x01, 1x11}}
{1111 \ {1111}, x1x1 \ {1101, 0111, x111}, 0101 \ {0101}}
{xx01 \ {x001, 0001, 0001}, xxxx \ {x10x, 1011, 10x1}, xx00 \ {0x00, 1x00, x000}}
{0xx0 \ {0x00, 0110, 0000}, x1x0 \ {x110, 0100, x100}}
{x0x0 \ {1000, 0010, 00x0}, 0000 \ {0000}}
{0xx0 \ {01x0, 0010, 0110}, 111x \ {1111, 1110, 1110}}
{xx1x \ {001x, 0010, 011x}}
{1010 \ {1010}, 1x1x \ {1110, 1011, 1x11, 1x10, 1x10}}
{11xx \ {111x, 110x}}
{x10x \ {x100, 1101, 0101}}
{0x0x \ {0x0x}}
{x10x \ {010x, 1100}}
{}
{}
{10x1 \ {1001, 1011}, xx0x \ {0100, 000x, 1x0x}}
{x00x \ {1001, 000x, 0000}}
{0101 \ {0101}, 0x0x \ {0100, 0001, 010x, 0x00}}
{x1x1 \ {1101, x101}}
{001x \ {0011, 0010}}
{1111 \ {1111}}
{xx00 \ {0100, 1000, x000}}
{0x10 \ {0010, 0110}, xx1x \ {0x10, x111, x110}}
{}
{x1x0 \ {0100, x100, 0110}, x0x1 \ {1011, 10x1, x011}}
{0x1x \ {011x, 001x, 0x10}}
{1010 \ {1010}, 1111 \ {1111}}
{000x \ {0001, 0000, 0000}, 0x1x \ {001x, 0x10, 011x}}
{01xx \ {01x1, 010x, 0110}}
{0x0x \ {0x0x}, 1x1x \ {1x1x}}
{0x0x \ {0100, 010x, 000x}}
{x101 \ {0101}}
{0101 \ {0101}}
{x10x \ {x100, 0101, 1100}, 1x0x \ {1x01, 1100}, xx1x \ {111x, 1011, 0010}}
{}
{}
{1xxx \ {101x, 10x1, 1110}}
{1x00 \ {1100, 1000}}
{0000 \ {0000}}
{01xx \ {011x, 01x1}, x11x \ {0110, x110, 0111}}
{x1xx \ {11xx, 01x1, 1101}, 01xx \ {01x0, 0100, 010x}}
{xxxx \ {
   x1x0, x0x1, 1x0x, 0x1x, xx1x, xxx1, x1xx, 01xx}, xxxx \ {
   x1x0, x0x1, 1x0x, 0x1x, xx1x, xxx1, x0xx, 00xx, 0xxx}, 1x1x \ {1110, 1011, 1x10, 111x}, 1x1x \ {1110, 1011, 1x10, 101x}}
{011x \ {0111, 0110}}
{x110 \ {1110, 0110}, xx00 \ {0x00, 1x00, x100}}
{1010 \ {1010}}
{10xx \ {1001, 1011, 101x}}
{xxxx \ {x10x, 1000, 00xx}, 0x0x \ {0100, 0x01, 0000}}
{xxxx \ {
   x1x0, x0x1, 1x0x, 0x1x, xx01, xx11, xx1x, 00xx}, 0x0x \ {0100, 0001, 0x01, 010x, 000x}}
{x10x \ {010x, x101, 0101}, 0x0x \ {000x, 0100, 0x01}, x0x0 \ {10x0}}
{11xx \ {11x0}}
{0x0x \ {0100, 0001, 0x01, 000x}, x0x0 \ {x0x0}}
{}
{00xx \ {000x, 00x1, 0011}, 0x1x \ {0110, 001x, 011x}}
{}
{xx01 \ {1x01, 1101, 1101}}
{x11x \ {0111, 1111, 011x}, xx00 \ {x000, 1000, x100}, 0x10 \ {0110, 0010, 0010}}
{}
{0x0x \ {0100, 000x, 010x}, 1x0x \ {1101, 1x01, 1001}}
{}
{}
{}
{x001 \ {1001, 0001}}
{}
{xxx1 \ {0xx1, 0x11, x1x1}, x00x \ {1001, 000x, 000x}}
{xx01 \ {0101, 1001, x101}, x01x \ {0010, 1010, 001x}}
{0101, 1111}
{xx01 \ {0x01, 1101}}
{x11x \ {x111, 0110, x110}}
{}
{001x \ {0010}, 0xxx \ {011x, 0x00}}
{}
{}
{x01x \ {x010, 101x, 101x}, 100x \ {1001, 1000, 1000}}
{}
{}
{1x0x \ {1101, 110x, 110x}, x100 \ {0100}}
{111x \ {1111, 1110}}
{}
{x1xx \ {01x0, 11x1, x11x}, 100x \ {1001, 1000}, x011 \ {1011, 0011}}
{x1x0 \ {1100, 0100}}
{x0x0 \ {1000, 0010, x010, 00x0}, 0000 \ {0000}}
{x1x1 \ {1111, 0111, 01x1}, xxxx \ {0010, 00x1, 1010}}
{}
{}
{xx00 \ {1000, 0000, 0100}}
{}
{}
{11xx \ {1101, 11x1, 11x0}}
{10x1 \ {1011, 1001, 1001}}
{x1x1 \ {x1x1}}
{01xx \ {01x0, 0100, 011x}}
{1xx0 \ {1010, 1100, 11x0}, 01xx \ {0110, 010x, 0100}}
{x0x0 \ {x0x0}, xxxx \ {
   x1x0, x0x1, 1x0x, 0x1x, xxx0, xx00, xx1x, 10xx, 0xxx, 00xx}}
{00x0 \ {0010, 0000, 0000}, 10x0 \ {1010}}
{x110 \ {1110}, x010 \ {1010, 0010}}
{1010 \ {1010}}
{}
{xxxx \ {000x, 010x, x11x}}
{}
{}
{xxx0 \ {x010, x100, x0x0}}
{}
{x100 \ {0100}, x0xx \ {x000, 00x0}}
{xxx0 \ {0110, x100, x0x0}}
{0000 \ {0000}, x0x0 \ {1000, 0010, x000, 00x0}}
{}
{x0xx \ {1001, 0001, 0011}, x0xx \ {x000, 0000, x001}}
{}
{0xx0 \ {00x0, 0000, 01x0}, 1x01 \ {1001, 1101, 1101}}
{1xxx \ {101x, 10x1, 1100}, 000x \ {0001, 0000, 0000}, 1x0x \ {1x01, 100x, 1001}}
{x0x0 \ {x0x0}, 0000 \ {0000}, 0101 \ {0101}}
{1xxx \ {1xx0, 10x0, 1001}, 0x10 \ {0110, 0010}}
{x00x \ {1001, x001}}
{0x0x \ {0100, 0001, 0x00, 010x}}
{001x \ {0011, 0010, 0010}}
{xxx0 \ {x000, 1010, 0000}, x0xx \ {000x, 00x0, 10x1}}
{1010 \ {1010}, 1x1x \ {1110, 1011, 1x11, 1x10, 1x10}}
{0x00 \ {0000, 0100}}
{11x0 \ {1110, 1100, 1100}, 11x0 \ {1100, 1110, 1110}, 101x \ {1010, 1011, 1011}}
{0000 \ {0000}}
{}
{}
{}
{00xx \ {000x, 001x, 00x1}}
{}
{}
{x011 \ {1011, 0011}, x01x \ {0010, 001x, x010}}
{}
{}
{010x \ {0101, 0100, 0100}, xxx0 \ {0110, 1xx0, 1100}, x00x \ {000x, 1001}}
{01xx \ {0110, 0111, 0100}}
{x0x0 \ {1000, 0010, 10x0, 00x0}, 0x0x \ {0100, 0001, 000x, 0x01}}
{x0x0 \ {1000, 0010, x000}}
{100x \ {1001}, 1xx0 \ {1000, 11x0, 1x10}}
{0000 \ {0000}, x0x0 \ {1000, 0010, x000, 10x0, 00x0}}
{1x10 \ {1010, 1110}}
{}
{}
{x1xx \ {x10x, 11x1, 11x0}, 00x0 \ {0000}}
{x1xx \ {0100, 0101, 111x}, 0xxx \ {0001, 0110, 0010}}
{xxxx \ {x1x0, x0x1, 1x0x, 0x1x, xx0x}, x0x0 \ {1000, 0010, x000}}
{x0x1 \ {x001, 0001, 0011}}
{101x \ {1010, 1011}}
{1111 \ {1111}}
{}
{}
{}
{x1x0 \ {0110, 0100}}
{x1x1 \ {0101, 1101, 1111}}
{}
{}
{01xx \ {01x1, 011x, 0110}}
{}
{0xxx \ {0011, 0xx1, 0111}, xx11 \ {0011, x011}, x1xx \ {111x, x10x}}
{000x \ {0000, 0001, 0001}, 0x10 \ {0110, 0010, 0010}}
{0x0x \ {0100, 0001, 0x01, 000x, 010x, 010x}, 1010 \ {1010}}
{x1x0 \ {0110, x100, 01x0}}
{1x0x \ {1x01, 1001, 1x00}, x00x \ {0000, 0001, 100x}}
{0000 \ {0000}}
{}
{x0x1 \ {10x1, 00x1, 00x1}}
{}
{}
{x0x1 \ {0001, x011, 1011}, xxx1 \ {x011, 1xx1, 10x1}}
{}
{xx11 \ {1111, 1x11}}
{11x1 \ {1111, 1101}}
{1111 \ {1111}}
{0xx1 \ {00x1, 01x1, 0x01}}
{x1x0 \ {1110, 01x0, 1100}, xx0x \ {100x, 1000, 1100}}
{0101 \ {0101}}
{xx0x \ {110x, 000x, x001}, x11x \ {111x, x111, 0110}}
{01x0 \ {0100, 0110}}
{0000 \ {0000}, 1010 \ {1010}}
{10xx \ {1001, 1010, 100x}}
{x001 \ {1001, 0001}}
{0101 \ {0101}}
{0x00 \ {0100}}
{xx0x \ {0000, 1x0x, xx01}}
{0000}
{1x0x \ {1100, 110x, 1x01}, x00x \ {1001, 0001, 0001}}
{1x1x \ {1110, 101x, 1010}, xx01 \ {x001, 1101, 0x01}}
{0101 \ {0101}}
{}
{}
{}
{x110 \ {0110, 1110}}
{xx00 \ {0000, x100, x000}, xx00 \ {0000, x100}}
{}
{}
{xx10 \ {0110, x110, x110}}
{}
{xx01 \ {0001, 1001}, 0xxx \ {0101, 0110, 0x1x}}
{x01x \ {0011, 1011, x011}}
{1x1x \ {1x1x}}
{xxx1 \ {01x1, x011, 1011}, 1xx1 \ {1101, 1111, 1011}, 11xx \ {110x, 1110, 11x1}}
{0x1x \ {011x, 0x11}}
{1111 \ {1111}, 1x1x \ {1110, 1011, 1x10, 1x11, 111x}}
{xxxx \ {x101, 0010, 110x}, 111x \ {1111, 1110}}
{x0x0 \ {1000, 0010, 10x0}, x0x1 \ {1001, 0011}}
{x0x0 \ {1000, 0010, 10x0}, x1x1 \ {1101, 0111}, 1010 \ {1010}, 1111 \ {1111}}
{}
{11x0 \ {1110, 1100}}
{}
{10xx \ {1001, 1011, 100x}}
{00x1 \ {0001}, 11x1 \ {1111, 1101}}
{x1x1 \ {1101, 0111, x101, x111, x101, 01x1}}
{}
{0xx1 \ {0011, 0111}}
{}
{11xx \ {1101, 11x0, 1110}}
{x1xx \ {01x0, x10x, 110x}}
{xxxx \ {
   x1x0, x0x1, 1x0x, 0x1x, xx01, xxx0, xx10, 0xxx, 00xx}}
{1xx1 \ {1101, 1111}}
{}
{}
{x101 \ {0101, 1101}}
{0xx1 \ {0x01, 0001, 0111}, xxxx \ {0111, 1xx1, 001x}, x10x \ {1100, 110x, 0101}}
{0101 \ {0101}}
{01xx \ {0101, 011x, 0100}, x0x0 \ {00x0, x000, x010}, 0xxx \ {010x, 00x0, 00x1}}
{10x1 \ {1001, 1011}, xx10 \ {1x10, x110, 1110}}
{x1x1 \ {1101, 0111, 01x1, 11x1, x101}, 1010}
{010x \ {0101, 0100}}
{x11x \ {1111, 0111, 111x}, 0x00 \ {0100}}
{0000 \ {0000}}
{x0x0 \ {x010}}
{1x0x \ {100x, 110x}}
{0000 \ {0000}}
{xx10 \ {0x10, x110, 0010}, 01x0 \ {0100, 0110, 0110}}
{1x0x \ {1101, 100x, 1001}, 0xxx \ {0100, 0x10, 0010}}
{1010 \ {1010}, 0000 \ {0000}, x0x0 \ {1000, 0010, x000, x010, x010, 10x0}}
{1x0x \ {1100, 110x, 1000}, 1xx0 \ {1x10, 1x00, 10x0}, 1x1x \ {101x, 1111, 1x10}}
{1x10 \ {1010, 1110, 1110}}
{1010 \ {1010}}
{}
{0x0x \ {0x01, 0001, 0x00}}
{}
{}
{x11x \ {1110, 0110, x111}}
{}
{0x00 \ {0000, 0100, 0100}}
{xxx1 \ {x011, 0101, 1x01}}
{}
{x1x1 \ {01x1, 0111, 1111}}
{01xx \ {0110, 0101, 01x1}}
{x1x1 \ {x1x1}}
{1x1x \ {1010, 111x, 1x10}}
{}
{}
{}
{10x0 \ {1000, 1010, 1010}}
{}
{}
{x0x1 \ {1001, x001}, x01x \ {x010, 1011}}
{}
{0x1x \ {011x, 001x}, x0xx \ {x00x, 0011, 1001}}
{xx00 \ {1100, x100}}
{0000 \ {0000}}
{xx00 \ {0100, 1100, 1100}, x11x \ {x110, x111, 0111}}
{0xx1 \ {00x1, 0011, 0x01}}
{1111 \ {1111}}
{x0x1 \ {0011, 1001, 00x1}, 0x0x \ {0000, 0101, 000x}}
{x100 \ {0100}}
{0000}
{}
{}
{}
{xx10 \ {0110, 0x10}}
{x0xx \ {x000, 10x1, 0001}}
{1010}
{}
{x0x1 \ {00x1, 1011, 1011}}
{}
{}
{01xx \ {010x, 011x}}
{}
{}
{x1xx \ {11xx, 01xx, 010x}, xxx1 \ {00x1, 1101, 0001}}
{}
{xxxx \ {00x1, 010x, x111}, x101 \ {0101, 1101}}
{0xx0 \ {0110, 0000, 0010}, 1x01 \ {1101, 1001}, 0x0x \ {0101, 0100, 0000}}
{x0x0 \ {1000, 0010, 10x0}, 0101 \ {0101}, 0x0x \ {0100, 0001, 000x}}
{x01x \ {0011, 101x, 101x}}
{x101 \ {1101, 0101, 0101}}
{}
{xx10 \ {1x10, x110, 0x10}}
{1x01 \ {1001, 1101, 1101}, 1xx1 \ {11x1, 1x01, 1111}}
{}
{0xx0 \ {0x00, 0010, 0010}}
{x0xx \ {00x1, 10x0, 00x0}}
{x0x0 \ {x0x0}}
{x001 \ {0001, 1001}, 1x00 \ {1000, 1100, 1100}}
{10xx \ {101x, 1011, 100x}, 1xxx \ {1011, 1xx0, 1111}}
{0101 \ {0101}, 0000 \ {0000}}
{x0x0 \ {0000, x010, 1000}, xx0x \ {1x0x, 0001, 1101}, xxx0 \ {11x0, 0xx0, 1xx0}}
{001x \ {0010, 0011}}
{1010 \ {1010}}
{xx1x \ {x110, 1x10, 101x}, xx01 \ {0001, 0101, 1x01}, 0xx0 \ {0x00, 0010, 0100}}
{xxxx \ {1010, xxx1, 100x}, xxx1 \ {01x1, 0011, 00x1}}
{1x1x \ {1110, 1011, 111x}, 1111, 0101 \ {0101}, x0x0 \ {1000, 0010, x000}}
{xx1x \ {001x, 1x10, 111x}}
{x101 \ {0101}, x1xx \ {11x1, 0101, x1x0}}
{1x1x \ {1110, 1011, 101x}}
{01xx \ {01x0, 01x1, 0110}}
{}
{}
{xxxx \ {101x, 0xx1, xx0x}, xx0x \ {0001, 1101}}
{0xx0 \ {0110, 00x0}, 1xx0 \ {11x0, 1010, 1100}}
{x0x0 \ {1000, 0010, x000, 10x0}, 0000}
{0xxx \ {01xx, 00x1, 00x0}, xxx1 \ {1101, 0101, 0x01}}
{0xx1 \ {01x1, 0011, 0011}, x00x \ {100x, 1001, x000}, xxx0 \ {x0x0, 1100, 1110}}
{0x0x \ {0100, 0001, 000x, 0x01, 0x00}, x0x0 \ {x0x0}, x1x1 \ {1101, 0111, 11x1, 11x1}, 0101}
{xxxx \ {01xx, 0xx0, 1xxx}}
{}
{}
{xxx0 \ {x010, 0100}}
{11xx \ {1100, 11x1, 11x1}}
{x0x0 \ {1000, 0010, 00x0}}
{00x0 \ {0010, 0000}}
{1x0x \ {110x, 1100, 1001}}
{0000 \ {0000}}
{xxx1 \ {xx11, 00x1, 1x01}}
{}
{}
{xx10 \ {x010, x110, 0110}}
{00x1 \ {0011, 0001}, xx0x \ {x101, 0x01, 0x0x}, x11x \ {0111, 111x}}
{1010 \ {1010}}
{}
{xx0x \ {100x, 0x00, x000}}
{}
{}
{}
{}
{x011 \ {1011, 0011, 0011}, x0x0 \ {00x0, 1000, 1010}}
{}
{}
{}
{0xx1 \ {0x01, 0011, 0x11}}
{}
{x010 \ {0010, 1010}, xxx0 \ {1010, xx00, 00x0}}
{xx10 \ {0x10, x110, x010}}
{1010 \ {1010}}
{x01x \ {x010, 001x}}
{xxx0 \ {0000, 01x0, 1x00}, xxx1 \ {0x11, 0111, 1xx1}}
{1010 \ {1010}, 1111 \ {1111}}
{100x \ {1001, 1000, 1000}}
{0x1x \ {0111, 0010, 0011}, xxx1 \ {11x1, 1011, 0011}}
{0101 \ {0101}}
{1x0x \ {1101, 1x00, 1001}}
{0xx0 \ {0010, 00x0, 0x00}, 1x00 \ {1100, 1000}}
{0000 \ {0000}}
{0xxx \ {01x0, 000x, 00x1}, xx1x \ {0111, 1011, 0x11}}
{}
{}
{xx1x \ {1110, 1111}}
{xx1x \ {111x, x010, x011}, xx1x \ {0x1x, 1010, 011x}}
{1x1x \ {1110, 1011}}
t1:{0111}
t2:{1100, 1101}
t:{1101}
{x0000 \ {10000, 00000}}
{0x01x \ {00010, 0x011, 0101x}}
{}

{00xx1 \ {00101, 000x1, 00111}, 1xx10 \ {10010, 11010}}
{x0111 \ {10111}, 0101x \ {01011}}
{
   x011100x11 \ {
   x011100011, x011100111, 1011100x11}, 0101100x11 \ {
   0101100011, 0101100111, 0101100x11}, 010101xx10 \ {
   0101010010, 0101011010}}

{01x11 \ {01011, 01111}, 1x0xx \ {10011, 11011, 110x1}}
{}
{}

{1x110 \ {10110}, 10x10 \ {10110, 10010}}
{110xx \ {1101x, 110x1, 110x0}}
{
   110101x110 \ {
   1101010110, 110101x110, 110101x110}, 1101010x10 \ {
   1101010110, 1101010010, 1101010x10, 1101010x10}}

{xx01x \ {01010, x101x, 0101x}, 0xx01 \ {01001, 01101}, xx110 \ {11110, 01110, 00110}}
{0xx0x \ {0000x, 00x01, 0100x}}
{
   0xx010xx01 \ {
   0xx0101001, 0xx0101101, 000010xx01, 00x010xx01, 010010xx01}}

{x0100 \ {00100}, 0x11x \ {0011x, 0x110, 00111}, xx001 \ {11001, 01001}}
{0x1x1 \ {001x1, 01111, 0x101}, x1xxx \ {11x1x, 01011, 11001}, 00xxx \ {000x0, 00xx0, 001x1}}
{
   x1x00x0100 \ {
   x1x0000100}, 00x00x0100 \ {
   00x0000100, 00000x0100, 00x00x0100}, 0x1110x111 \ {
   0x11100111, 0x11100111, 001110x111, 011110x111}, x1x1x0x11x \ {
   x1x110x110, x1x100x111, x1x1x0011x, x1x1x0x110, x1x1x00111, 11x1x0x11x, 010110x11x}, 00x1x0x11x \ {
   00x110x110, 00x100x111, 00x1x0011x, 00x1x0x110, 00x1x00111, 000100x11x, 00x100x11x, 001110x11x}, 0x101xx001 \ {
   0x10111001, 0x10101001, 00101xx001, 0x101xx001}, x1x01xx001 \ {
   x1x0111001, x1x0101001, 11001xx001}, 00x01xx001 \ {
   00x0111001, 00x0101001, 00101xx001}}

{xxxx0 \ {x11x0, 0xx00, 111x0}}
{xx00x \ {11001, x0000}}
{
   xx000xxx00 \ {
   xx000x1100, xx0000xx00, xx00011100, x0000xxx00}}

{xxx01 \ {00001, 01001, 11x01}}
{xxxx1 \ {x1101, 10x01, 0x011}}
{
   xxx01xxx01 \ {
   xxx0100001, xxx0101001, xxx0111x01, x1101xxx01, 10x01xxx01}}

{}
{xx001 \ {x1001, 0x001}}
{}

{xx1xx \ {xx101, 1x10x, 0111x}}
{00xx1 \ {00001, 00111, 00011}}
{
   00xx1xx1x1 \ {
   00x11xx101, 00x01xx111, 00xx1xx101, 00xx11x101, 00xx101111, 00001xx1x1, 00111xx1x1, 00011xx1x1}}

{01x0x \ {01100, 01001, 01x01}, 0xxxx \ {00xx0, 0x0xx, 0xx00}}
{xx00x \ {xx001, x000x, 0000x}}
{
   xx00x01x0x \ {
   xx00101x00, xx00001x01, xx00x01100, xx00x01001, xx00x01x01, xx00101x0x, x000x01x0x, 0000x01x0x}, xx00x0xx0x \ {
   xx0010xx00, xx0000xx01, xx00x00x00, xx00x0x00x, xx00x0xx00, xx0010xx0x, x000x0xx0x, 0000x0xx0x}}

{11x1x \ {11010, 11011, 11011}, 01xxx \ {01010, 010xx, 01x1x}}
{}
{}

{1xx0x \ {1000x, 10x0x, 11101}, 1x1x1 \ {10111, 111x1, 11111}}
{0xxxx \ {00111, 0x100, 01xx1}, xx01x \ {0x011, 11010, x101x}}
{
   0xx0x1xx0x \ {
   0xx011xx00, 0xx001xx01, 0xx0x1000x, 0xx0x10x0x, 0xx0x11101, 0x1001xx0x, 01x011xx0x}, 0xxx11x1x1 \ {
   0xx111x101, 0xx011x111, 0xxx110111, 0xxx1111x1, 0xxx111111, 001111x1x1, 01xx11x1x1}, xx0111x111 \ {
   xx01110111, xx01111111, xx01111111, 0x0111x111, x10111x111}}

{110xx \ {11000, 110x1, 11010}}
{x0111 \ {10111}, 11xxx \ {11110, 11x1x, 110x0}}
{
   x011111011 \ {
   x011111011, 1011111011}, 11xxx110xx \ {
   11xx1110x0, 11xx0110x1, 11x1x1100x, 11x0x1101x, 11xxx11000, 11xxx110x1, 11xxx11010, 11110110xx, 11x1x110xx, 110x0110xx}}

{x0110 \ {10110, 00110, 00110}}
{xx00x \ {x0000, 1x000, 0000x}, 1x0x1 \ {10011, 1x001, 1x001}}
{}

{0x11x \ {00110, 01111, 0x110}}
{x01x0 \ {00100, 10100, x0100}}
{
   x01100x110 \ {
   x011000110, x01100x110}}

{0xxxx \ {00111, 00xxx, 0x1x1}, 00x10 \ {00110, 00010}}
{x10xx \ {x10x0, 11000, 010x1}, x1xx0 \ {x11x0, x10x0, 011x0}}
{
   x10xx0xxxx \ {
   x10x10xxx0, x10x00xxx1, x101x0xx0x, x100x0xx1x, x10xx00111, x10xx00xxx, x10xx0x1x1, x10x00xxxx, 110000xxxx, 010x10xxxx}, x1xx00xxx0 \ {
   x1x100xx00, x1x000xx10, x1xx000xx0, x11x00xxx0, x10x00xxx0, 011x00xxx0}, x101000x10 \ {
   x101000110, x101000010, x101000x10}, x1x1000x10 \ {
   x1x1000110, x1x1000010, x111000x10, x101000x10, 0111000x10}}

{0xxx0 \ {01010, 00110, 01100}, xxx10 \ {01110, x0010, x1110}}
{00xxx \ {00010, 0010x, 00111}, x11xx \ {1111x, x110x, 11100}}
{
   00xx00xxx0 \ {
   00x100xx00, 00x000xx10, 00xx001010, 00xx000110, 00xx001100, 000100xxx0, 001000xxx0}, x11x00xxx0 \ {
   x11100xx00, x11000xx10, x11x001010, x11x000110, x11x001100, 111100xxx0, x11000xxx0, 111000xxx0}, 00x10xxx10 \ {
   00x1001110, 00x10x0010, 00x10x1110, 00010xxx10}, x1110xxx10 \ {
   x111001110, x1110x0010, x1110x1110, 11110xxx10}}

{0x0x0 \ {000x0, 01010, 01000}}
{xx1xx \ {x1100, xx101, 0x1x1}, 0x01x \ {00011, 0x010}}
{
   xx1x00x0x0 \ {
   xx1100x000, xx1000x010, xx1x0000x0, xx1x001010, xx1x001000, x11000x0x0}, 0x0100x010 \ {
   0x01000010, 0x01001010, 0x0100x010}}

{xx110 \ {01110, x0110, x0110}, 10x11 \ {10111, 10011}, 0x1xx \ {01111, 011xx, 01100}}
{x100x \ {0100x, x1000, 11000}, x100x \ {0100x, 01000, x1000}}
{
   x100x0x10x \ {
   x10010x100, x10000x101, x100x0110x, x100x01100, 0100x0x10x, x10000x10x, 110000x10x}}

{100x1 \ {10011}, xx111 \ {00111, 01111, x1111}}
{xxx0x \ {0xx0x, xx001, x000x}}
{
   xxx0110001 \ {
   0xx0110001, xx00110001, x000110001}}

{000xx \ {00000, 000x0, 0000x}}
{1100x \ {11001, 11000}, x011x \ {0011x, x0110, 00110}, xxx00 \ {1x000, x1100, 01x00}}
{
   1100x0000x \ {
   1100100000, 1100000001, 1100x00000, 1100x00000, 1100x0000x, 110010000x, 110000000x}, x011x0001x \ {
   x011100010, x011000011, x011x00010, 0011x0001x, x01100001x, 001100001x}, xxx0000000 \ {
   xxx0000000, xxx0000000, xxx0000000, 1x00000000, x110000000, 01x0000000}}

{0xxx1 \ {00x01, 0x1x1, 01x01}, x1x01 \ {01x01, 11101}}
{xx110 \ {x1110, 11110, 1x110}, 01x00 \ {01100, 01000}}
{}

{}
{x100x \ {1100x, x1001, 01001}, 00xx1 \ {00x01, 00001}, 111x0 \ {11100, 11110}}
{}

{1111x \ {11111}, x11x1 \ {11111, 011x1, 011x1}, 0x1xx \ {0x10x, 0x1x0, 001x0}}
{0x111 \ {01111, 00111}, 0111x \ {01110}}
{
   0x11111111 \ {
   0x11111111, 0111111111, 0011111111}, 0111x1111x \ {
   0111111110, 0111011111, 0111x11111, 011101111x}, 0x111x1111 \ {
   0x11111111, 0x11101111, 0x11101111, 01111x1111, 00111x1111}, 01111x1111 \ {
   0111111111, 0111101111, 0111101111}, 0x1110x111 \ {
   011110x111, 001110x111}, 0111x0x11x \ {
   011110x110, 011100x111, 0111x0x110, 0111x00110, 011100x11x}}

{11xxx \ {11xx1, 11111, 110x1}, 00x10 \ {00110, 00010}}
{x0011 \ {00011, 10011}, 0001x \ {00010, 00011}}
{
   x001111x11 \ {
   x001111x11, x001111111, x001111011, 0001111x11, 1001111x11}, 0001x11x1x \ {
   0001111x10, 0001011x11, 0001x11x11, 0001x11111, 0001x11011, 0001011x1x, 0001111x1x}, 0001000x10 \ {
   0001000110, 0001000010, 0001000x10}}

{1xx00 \ {11x00, 11100, 1x100}, 0x10x \ {00100, 01101, 01100}}
{1010x \ {10101, 10100}}
{
   101001xx00 \ {
   1010011x00, 1010011100, 101001x100, 101001xx00}, 1010x0x10x \ {
   101010x100, 101000x101, 1010x00100, 1010x01101, 1010x01100, 101010x10x, 101000x10x}}

{0x0xx \ {010xx, 000xx, 01011}}
{0110x \ {01100, 01101}}
{
   0110x0x00x \ {
   011010x000, 011000x001, 0110x0100x, 0110x0000x, 011000x00x, 011010x00x}}

{1x00x \ {1x001, 1100x, 10000}, 111xx \ {11110, 11101, 111x0}}
{01xx0 \ {01x10, 01000, 01010}, x1x10 \ {11010, 01110, 11110}, x11x0 \ {01100, x1110, 011x0}}
{
   01x001x000 \ {
   01x0011000, 01x0010000, 010001x000}, x11001x000 \ {
   x110011000, x110010000, 011001x000, 011001x000}, 01xx0111x0 \ {
   01x1011100, 01x0011110, 01xx011110, 01xx0111x0, 01x10111x0, 01000111x0, 01010111x0}, x1x1011110 \ {
   x1x1011110, x1x1011110, 1101011110, 0111011110, 1111011110}, x11x0111x0 \ {
   x111011100, x110011110, x11x011110, x11x0111x0, 01100111x0, x1110111x0, 011x0111x0}}

{xx1x0 \ {01110, x01x0, 101x0}, xx01x \ {1001x, 11010, x1010}}
{0xxx1 \ {01001, 00x11, 00001}, x00x0 \ {000x0, x0010, x0010}}
{
   x00x0xx1x0 \ {
   x0010xx100, x0000xx110, x00x001110, x00x0x01x0, x00x0101x0, 000x0xx1x0, x0010xx1x0, x0010xx1x0}, 0xx11xx011 \ {
   0xx1110011, 00x11xx011}, x0010xx010 \ {
   x001010010, x001011010, x0010x1010, 00010xx010, x0010xx010, x0010xx010}}

{}
{x0x1x \ {1001x, 10011, 10111}}
{}

{00x11 \ {00111, 00011, 00011}, 1xx0x \ {10x0x, 10001, 1x10x}}
{1xx01 \ {1x001, 10101, 11x01}, x1001 \ {11001, 01001}}
{
   1xx011xx01 \ {
   1xx0110x01, 1xx0110001, 1xx011x101, 1x0011xx01, 101011xx01, 11x011xx01}, x10011xx01 \ {
   x100110x01, x100110001, x10011x101, 110011xx01, 010011xx01}}

{xxxxx \ {1x001, xx011, 1x10x}, 000x1 \ {00011, 00001, 00001}, xx100 \ {10100, 1x100}}
{1100x \ {11001, 11000, 11000}, 0x10x \ {01100, 01101}}
{
   1100xxxx0x \ {
   11001xxx00, 11000xxx01, 1100x1x001, 1100x1x10x, 11001xxx0x, 11000xxx0x, 11000xxx0x}, 0x10xxxx0x \ {
   0x101xxx00, 0x100xxx01, 0x10x1x001, 0x10x1x10x, 01100xxx0x, 01101xxx0x}, 1100100001 \ {
   1100100001, 1100100001, 1100100001}, 0x10100001 \ {
   0x10100001, 0x10100001, 0110100001}, 11000xx100 \ {
   1100010100, 110001x100, 11000xx100, 11000xx100}, 0x100xx100 \ {
   0x10010100, 0x1001x100, 01100xx100}}

{xxx01 \ {10101, 1x001, 0x101}}
{1xx10 \ {11110, 10x10}}
{}

{xxx0x \ {x1x00, 1x001, 01000}}
{01xx0 \ {01000, 01110, 010x0}, 000xx \ {000x1, 00010, 00010}, 0x11x \ {0x111, 00111, 00111}}
{
   01x00xxx00 \ {
   01x00x1x00, 01x0001000, 01000xxx00, 01000xxx00}, 0000xxxx0x \ {
   00001xxx00, 00000xxx01, 0000xx1x00, 0000x1x001, 0000x01000, 00001xxx0x}}

{}
{xxxx1 \ {0x111, 101x1, 01xx1}, 10xxx \ {10101, 10xx0, 100x1}}
{}

{x1001 \ {01001, 11001}, 0xx10 \ {00x10, 01110, 0x010}}
{xxxx1 \ {1xx01, 0xx01, 110x1}, 11xx1 \ {11x11, 111x1, 111x1}, x0x1x \ {1011x, 1001x, 0011x}}
{
   xxx01x1001 \ {
   xxx0101001, xxx0111001, 1xx01x1001, 0xx01x1001, 11001x1001}, 11x01x1001 \ {
   11x0101001, 11x0111001, 11101x1001, 11101x1001}, x0x100xx10 \ {
   x0x1000x10, x0x1001110, x0x100x010, 101100xx10, 100100xx10, 001100xx10}}

{x0x11 \ {10111, x0011, 10x11}}
{0xx11 \ {01011, 01111, 01111}, x0xx1 \ {00111, x0101, 00011}, 0x00x \ {0x001, 01001, 0x000}}
{
   0xx11x0x11 \ {
   0xx1110111, 0xx11x0011, 0xx1110x11, 01011x0x11, 01111x0x11, 01111x0x11}, x0x11x0x11 \ {
   x0x1110111, x0x11x0011, x0x1110x11, 00111x0x11, 00011x0x11}}

{11x1x \ {11011, 11x11}}
{x0110 \ {10110}}
{
   x011011x10 \ {
   1011011x10}}

{010xx \ {0101x, 01010, 010x1}, x1x11 \ {11x11, x1111}}
{}
{}

{0xxx1 \ {0x101, 0x011, 010x1}, 00x1x \ {00x10, 00011}}
{0x11x \ {0x110, 0x111, 01110}}
{
   0x1110xx11 \ {
   0x1110x011, 0x11101011, 0x1110xx11}, 0x11x00x1x \ {
   0x11100x10, 0x11000x11, 0x11x00x10, 0x11x00011, 0x11000x1x, 0x11100x1x, 0111000x1x}}

{x0101 \ {00101, 10101, 10101}, 1x1xx \ {11111, 1110x, 111x0}}
{}
{}

{1xxxx \ {11xxx, 1xx01, 11001}, 01x01 \ {01101, 01001, 01001}}
{xx1x0 \ {0x1x0, x01x0, 001x0}, x1000 \ {11000}}
{
   xx1x01xxx0 \ {
   xx1101xx00, xx1001xx10, xx1x011xx0, 0x1x01xxx0, x01x01xxx0, 001x01xxx0}, x10001xx00 \ {
   x100011x00, 110001xx00}}

{x0111 \ {00111, 10111}, 1101x \ {11010, 11011}}
{0xx00 \ {01100, 01000, 00100}}
{}

{}
{x0x1x \ {0001x, 10x10, x0x11}}
{}

{}
{}
{}

{11xx1 \ {11011, 110x1, 111x1}, xx00x \ {xx001, x000x}}
{0x0xx \ {00001, 0001x, 000x1}}
{
   0x0x111xx1 \ {
   0x01111x01, 0x00111x11, 0x0x111011, 0x0x1110x1, 0x0x1111x1, 0000111xx1, 0001111xx1, 000x111xx1}, 0x00xxx00x \ {
   0x001xx000, 0x000xx001, 0x00xxx001, 0x00xx000x, 00001xx00x, 00001xx00x}}

{xx010 \ {00010, 11010, x0010}}
{0x11x \ {0x111, 01111}}
{
   0x110xx010 \ {
   0x11000010, 0x11011010, 0x110x0010}}

{000xx \ {000x0, 0000x, 000x1}}
{0x11x \ {01111, 00110, 00111}, x11x1 \ {11101, 111x1}}
{
   0x11x0001x \ {
   0x11100010, 0x11000011, 0x11x00010, 0x11x00011, 011110001x, 001100001x, 001110001x}, x11x1000x1 \ {
   x111100001, x110100011, x11x100001, x11x1000x1, 11101000x1, 111x1000x1}}

{xxx10 \ {00010, 11110, 10x10}, 0x110 \ {01110, 00110}, 1x1x0 \ {111x0, 101x0}}
{011xx \ {01111, 0110x}, 1xx00 \ {11x00, 10x00, 1x100}, 1x0x1 \ {10011, 110x1}}
{
   01110xxx10 \ {
   0111000010, 0111011110, 0111010x10}, 011100x110 \ {
   0111001110, 0111000110}, 011x01x1x0 \ {
   011101x100, 011001x110, 011x0111x0, 011x0101x0, 011001x1x0}, 1xx001x100 \ {
   1xx0011100, 1xx0010100, 11x001x100, 10x001x100, 1x1001x100}}

{x11x1 \ {x1101, 11101, 011x1}, xx1x0 \ {01110, 1x1x0, xx110}}
{x111x \ {01111, 01110, 11111}, 001x0 \ {00110, 00100, 00100}}
{
   x1111x1111 \ {
   x111101111, 01111x1111, 11111x1111}, x1110xx110 \ {
   x111001110, x11101x110, x1110xx110, 01110xx110}, 001x0xx1x0 \ {
   00110xx100, 00100xx110, 001x001110, 001x01x1x0, 001x0xx110, 00110xx1x0, 00100xx1x0, 00100xx1x0}}

{1xxxx \ {1xx00, 1100x, 1x111}, 10x10 \ {10110, 10010, 10010}}
{x001x \ {00010, 0001x}, 11xxx \ {11x00, 111xx, 1110x}}
{
   x001x1xx1x \ {
   x00111xx10, x00101xx11, x001x1x111, 000101xx1x, 0001x1xx1x}, 11xxx1xxxx \ {
   11xx11xxx0, 11xx01xxx1, 11x1x1xx0x, 11x0x1xx1x, 11xxx1xx00, 11xxx1100x, 11xxx1x111, 11x001xxxx, 111xx1xxxx, 1110x1xxxx}, x001010x10 \ {
   x001010110, x001010010, x001010010, 0001010x10, 0001010x10}, 11x1010x10 \ {
   11x1010110, 11x1010010, 11x1010010, 1111010x10}}

{00x1x \ {00010, 00110, 00x10}}
{1x1x0 \ {1x100, 11110, 101x0}, 100x0 \ {10000}, x101x \ {x1010, 11010, 11010}}
{
   1x11000x10 \ {
   1x11000010, 1x11000110, 1x11000x10, 1111000x10, 1011000x10}, 1001000x10 \ {
   1001000010, 1001000110, 1001000x10}, x101x00x1x \ {
   x101100x10, x101000x11, x101x00010, x101x00110, x101x00x10, x101000x1x, 1101000x1x, 1101000x1x}}

{00x1x \ {00x11, 00011, 00x10}}
{1x0xx \ {11000, 100x0, 100xx}, 0x11x \ {0x111, 00110, 0111x}}
{
   1x01x00x1x \ {
   1x01100x10, 1x01000x11, 1x01x00x11, 1x01x00011, 1x01x00x10, 1001000x1x, 1001x00x1x}, 0x11x00x1x \ {
   0x11100x10, 0x11000x11, 0x11x00x11, 0x11x00011, 0x11x00x10, 0x11100x1x, 0011000x1x, 0111x00x1x}}

{11xx0 \ {11000, 11100, 11x00}, 1x101 \ {10101, 11101, 11101}}
{0xxx1 \ {01xx1, 0x011, 01011}, xxx11 \ {xx011, 0xx11, 01011}}
{
   0xx011x101 \ {
   0xx0110101, 0xx0111101, 0xx0111101, 01x011x101}}

{}
{xx1x0 \ {x1100, 11100, 111x0}, xx110 \ {01110, 10110, 11110}}
{}

{}
{xxxx0 \ {xx100, x0110, 11100}, 000x1 \ {00011}}
{}

{x0xx0 \ {00100, x0x10, 00110}, 1x10x \ {10101, 1x100, 1x100}}
{00x10 \ {00110}}
{
   00x10x0x10 \ {
   00x10x0x10, 00x1000110, 00110x0x10}}

{011xx \ {0111x, 0110x, 0110x}}
{xx1x1 \ {01101, 0x111, 10101}}
{
   xx1x1011x1 \ {
   xx11101101, xx10101111, xx1x101111, xx1x101101, xx1x101101, 01101011x1, 0x111011x1, 10101011x1}}

{xx11x \ {00111, 01111, 1111x}}
{}
{}

{0x0x1 \ {000x1, 0x011, 01001}, 10x0x \ {10001, 1010x, 10100}, 1x001 \ {11001}}
{x11x1 \ {x1111, 111x1, 011x1}}
{
   x11x10x0x1 \ {
   x11110x001, x11010x011, x11x1000x1, x11x10x011, x11x101001, x11110x0x1, 111x10x0x1, 011x10x0x1}, x110110x01 \ {
   x110110001, x110110101, 1110110x01, 0110110x01}, x11011x001 \ {
   x110111001, 111011x001, 011011x001}}

{x1x1x \ {1101x, 11110, 0111x}, xxxxx \ {0x101, x1x1x, 011x0}, 1xx01 \ {1x001, 10x01, 10x01}}
{x1x01 \ {11101, 01001, 01001}}
{
   x1x01xxx01 \ {
   x1x010x101, 11101xxx01, 01001xxx01, 01001xxx01}, x1x011xx01 \ {
   x1x011x001, x1x0110x01, x1x0110x01, 111011xx01, 010011xx01, 010011xx01}}

{11xx0 \ {11110, 110x0}}
{x0x1x \ {10x10, 00x10, 00x1x}}
{
   x0x1011x10 \ {
   x0x1011110, x0x1011010, 10x1011x10, 00x1011x10, 00x1011x10}}

{x1xxx \ {110xx, x1111, 01x11}}
{0xx11 \ {0x011, 01x11, 01x11}, 00x1x \ {00x10, 00x11, 0001x}}
{
   0xx11x1x11 \ {
   0xx1111011, 0xx11x1111, 0xx1101x11, 0x011x1x11, 01x11x1x11, 01x11x1x11}, 00x1xx1x1x \ {
   00x11x1x10, 00x10x1x11, 00x1x1101x, 00x1xx1111, 00x1x01x11, 00x10x1x1x, 00x11x1x1x, 0001xx1x1x}}

{01x01 \ {01001, 01101}, xxxx0 \ {xxx10, x00x0, x0010}}
{x1xx1 \ {11101, 11x11, x1001}, xx1xx \ {x01x1, xx1x1, x111x}, xxx1x \ {0101x, 11010, x0110}}
{
   x1x0101x01 \ {
   x1x0101001, x1x0101101, 1110101x01, x100101x01}, xx10101x01 \ {
   xx10101001, xx10101101, x010101x01, xx10101x01}, xx1x0xxxx0 \ {
   xx110xxx00, xx100xxx10, xx1x0xxx10, xx1x0x00x0, xx1x0x0010, x1110xxxx0}, xxx10xxx10 \ {
   xxx10xxx10, xxx10x0010, xxx10x0010, 01010xxx10, 11010xxx10, x0110xxx10}}

{01x1x \ {01011, 0111x, 0111x}, 01x01 \ {01001, 01101}}
{11x1x \ {11011, 11111}, 1x1x1 \ {11111, 111x1, 11101}}
{
   11x1x01x1x \ {
   11x1101x10, 11x1001x11, 11x1x01011, 11x1x0111x, 11x1x0111x, 1101101x1x, 1111101x1x}, 1x11101x11 \ {
   1x11101011, 1x11101111, 1x11101111, 1111101x11, 1111101x11}, 1x10101x01 \ {
   1x10101001, 1x10101101, 1110101x01, 1110101x01}}

{0xxx0 \ {01110, 0x110}}
{xxx0x \ {1110x, 0x000, x0x00}, 0xx0x \ {01x00, 01x0x}}
{
   xxx000xx00 \ {
   111000xx00, 0x0000xx00, x0x000xx00}, 0xx000xx00 \ {
   01x000xx00, 01x000xx00}}

{}
{1101x \ {11010, 11011}}
{}

{x1x11 \ {11x11, x1011, 01x11}}
{}
{}

{1xx00 \ {1x100, 1x000}}
{x000x \ {00000, x0001}, 01xxx \ {01x0x, 01000, 01xx0}}
{
   x00001xx00 \ {
   x00001x100, x00001x000, 000001xx00}, 01x001xx00 \ {
   01x001x100, 01x001x000, 01x001xx00, 010001xx00, 01x001xx00}}

{0x11x \ {01111, 00110, 00111}, 100xx \ {100x0, 100x1, 10001}}
{}
{}

{010xx \ {01001, 01011, 01000}, 01xx0 \ {01110, 01100}, 111x0 \ {11100}}
{}
{}

{xxx11 \ {10011, x0011, x0x11}, 1x00x \ {11000, 10001, 10001}, 0xxx0 \ {0x110, 01x00, 0xx00}}
{}
{}

{xxx1x \ {xx111, 01011, 0001x}, 00x0x \ {0010x, 0000x, 00001}}
{}
{}

{00x0x \ {00101, 00100}, x0100 \ {10100, 00100}}
{0x00x \ {01001}}
{
   0x00x00x0x \ {
   0x00100x00, 0x00000x01, 0x00x00101, 0x00x00100, 0100100x0x}, 0x000x0100 \ {
   0x00010100, 0x00000100}}

{00x1x \ {00110, 0001x}, 001xx \ {00110, 001x0, 0011x}}
{xx001 \ {01001, x0001, 11001}}
{
   xx00100101 \ {
   0100100101, x000100101, 1100100101}}

{x00xx \ {x00x1, 10000, 1001x}, 11x11 \ {11011, 11111}, x11xx \ {01101, 01111, x1101}}
{}
{}

{xx0x1 \ {xx011, 00011, x0011}, xxxx0 \ {10110, 010x0, 010x0}, x10x0 \ {x1010, 110x0, 01010}}
{0x10x \ {00101, 01100, 0010x}}
{
   0x101xx001 \ {
   00101xx001, 00101xx001}, 0x100xxx00 \ {
   0x10001000, 0x10001000, 01100xxx00, 00100xxx00}, 0x100x1000 \ {
   0x10011000, 01100x1000, 00100x1000}}

{}
{0x1x1 \ {0x101, 01111, 01111}, x1x10 \ {x1110, 01110, 01110}, xx000 \ {11000, 00000}}
{}

{x10xx \ {x1000, 01011, 11010}, 1xx1x \ {1xx11, 10x1x, 10x11}}
{xxx00 \ {01100, 01x00, 01x00}}
{
   xxx00x1000 \ {
   xxx00x1000, 01100x1000, 01x00x1000, 01x00x1000}}

{}
{x11x1 \ {01111, 11101, 111x1}}
{}

{x1x1x \ {11x1x, x111x, 01011}, 1100x \ {11001, 11000}}
{0x001 \ {01001, 00001}}
{
   0x00111001 \ {
   0x00111001, 0100111001, 0000111001}}

{1xx00 \ {11000, 10000}, x1x01 \ {x1001, 01x01, 01x01}}
{x0x1x \ {x0011, 10x10, 00011}, x00x1 \ {x0001, 00011, 100x1}}
{
   x0001x1x01 \ {
   x0001x1001, x000101x01, x000101x01, x0001x1x01, 10001x1x01}}

{xxxx0 \ {01000, x1010, 11000}}
{10x1x \ {10010, 1011x, 10x10}, xx0x0 \ {0x0x0, 0x000, xx010}, x0xxx \ {10101, 001xx, 00x00}}
{
   10x10xxx10 \ {
   10x10x1010, 10010xxx10, 10110xxx10, 10x10xxx10}, xx0x0xxxx0 \ {
   xx010xxx00, xx000xxx10, xx0x001000, xx0x0x1010, xx0x011000, 0x0x0xxxx0, 0x000xxxx0, xx010xxxx0}, x0xx0xxxx0 \ {
   x0x10xxx00, x0x00xxx10, x0xx001000, x0xx0x1010, x0xx011000, 001x0xxxx0, 00x00xxxx0}}

{x1100 \ {11100}}
{x101x \ {x1010, 01011, x1011}, 00xx1 \ {00001, 00101}}
{}

{0x1x1 \ {001x1, 01111, 0x101}}
{x0x0x \ {10001, 00100, x0100}, xx001 \ {x1001, 00001, 00001}}
{
   x0x010x101 \ {
   x0x0100101, x0x010x101, 100010x101}, xx0010x101 \ {
   xx00100101, xx0010x101, x10010x101, 000010x101, 000010x101}}

{1100x \ {11001, 11000}, x1x0x \ {x1001, 11101, 11001}}
{x001x \ {10010, x0010}, xx001 \ {x0001, 01001, 11001}, 1110x \ {11101, 11100, 11100}}
{
   xx00111001 \ {
   xx00111001, x000111001, 0100111001, 1100111001}, 1110x1100x \ {
   1110111000, 1110011001, 1110x11001, 1110x11000, 111011100x, 111001100x, 111001100x}, xx001x1x01 \ {
   xx001x1001, xx00111101, xx00111001, x0001x1x01, 01001x1x01, 11001x1x01}, 1110xx1x0x \ {
   11101x1x00, 11100x1x01, 1110xx1001, 1110x11101, 1110x11001, 11101x1x0x, 11100x1x0x, 11100x1x0x}}

{xxx00 \ {x1100, 00000, 10x00}, 01xxx \ {01101, 010x0, 01x0x}}
{01xxx \ {011x0, 01x0x}}
{
   01x00xxx00 \ {
   01x00x1100, 01x0000000, 01x0010x00, 01100xxx00, 01x00xxx00}, 01xxx01xxx \ {
   01xx101xx0, 01xx001xx1, 01x1x01x0x, 01x0x01x1x, 01xxx01101, 01xxx010x0, 01xxx01x0x, 011x001xxx, 01x0x01xxx}}

{}
{xx110 \ {11110, 01110, 00110}, 1xx00 \ {11x00, 10x00, 1x000}}
{}

{10xxx \ {1011x, 10x01, 101x1}, xx111 \ {01111, 0x111, x1111}}
{x0xx1 \ {x01x1, 10111, 00111}, xx1x1 \ {10111, 10101, x11x1}}
{
   x0xx110xx1 \ {
   x0x1110x01, x0x0110x11, x0xx110111, x0xx110x01, x0xx1101x1, x01x110xx1, 1011110xx1, 0011110xx1}, xx1x110xx1 \ {
   xx11110x01, xx10110x11, xx1x110111, xx1x110x01, xx1x1101x1, 1011110xx1, 1010110xx1, x11x110xx1}, x0x11xx111 \ {
   x0x1101111, x0x110x111, x0x11x1111, x0111xx111, 10111xx111, 00111xx111}, xx111xx111 \ {
   xx11101111, xx1110x111, xx111x1111, 10111xx111, x1111xx111}}

{xx1xx \ {1011x, 00100, 00100}, x1x01 \ {01101}}
{01x10 \ {01110}, xx011 \ {x0011, 01011}}
{
   01x10xx110 \ {
   01x1010110, 01110xx110}, xx011xx111 \ {
   xx01110111, x0011xx111, 01011xx111}}

{00xx0 \ {000x0, 00010, 00010}, 01xx1 \ {011x1, 01101, 01x11}}
{1x01x \ {1101x, 1x010}, 0x1x0 \ {00100, 001x0, 01100}}
{
   1x01000x10 \ {
   1x01000010, 1x01000010, 1x01000010, 1101000x10, 1x01000x10}, 0x1x000xx0 \ {
   0x11000x00, 0x10000x10, 0x1x0000x0, 0x1x000010, 0x1x000010, 0010000xx0, 001x000xx0, 0110000xx0}, 1x01101x11 \ {
   1x01101111, 1x01101x11, 1101101x11}}

{1x01x \ {11010, 1x010, 11011}}
{11xx1 \ {11111, 11101, 110x1}, 10x1x \ {1001x, 10010, 10x10}, x1x01 \ {01x01, x1101, x1001}}
{
   11x111x011 \ {
   11x1111011, 111111x011, 110111x011}, 10x1x1x01x \ {
   10x111x010, 10x101x011, 10x1x11010, 10x1x1x010, 10x1x11011, 1001x1x01x, 100101x01x, 10x101x01x}}

{x0x11 \ {10011, 00x11, 10111}, xx1xx \ {x0101, x111x, 11100}, x0x0x \ {00001, x000x, 00x0x}}
{1x111 \ {10111}, x1xxx \ {x1101, x1000, 01001}}
{
   1x111x0x11 \ {
   1x11110011, 1x11100x11, 1x11110111, 10111x0x11}, x1x11x0x11 \ {
   x1x1110011, x1x1100x11, x1x1110111}, 1x111xx111 \ {
   1x111x1111, 10111xx111}, x1xxxxx1xx \ {
   x1xx1xx1x0, x1xx0xx1x1, x1x1xxx10x, x1x0xxx11x, x1xxxx0101, x1xxxx111x, x1xxx11100, x1101xx1xx, x1000xx1xx, 01001xx1xx}, x1x0xx0x0x \ {
   x1x01x0x00, x1x00x0x01, x1x0x00001, x1x0xx000x, x1x0x00x0x, x1101x0x0x, x1000x0x0x, 01001x0x0x}}

{x0xxx \ {x00xx, x0x11, 10010}}
{xxx0x \ {0x10x, 11x01, 0x000}, xxx10 \ {x1x10, 1x010, xx110}}
{
   xxx0xx0x0x \ {
   xxx01x0x00, xxx00x0x01, xxx0xx000x, 0x10xx0x0x, 11x01x0x0x, 0x000x0x0x}, xxx10x0x10 \ {
   xxx10x0010, xxx1010010, x1x10x0x10, 1x010x0x10, xx110x0x10}}

{x1x10 \ {x1110, x1010}, xx100 \ {10100, 11100}}
{}
{}

{x0111 \ {00111, 10111}, x1x00 \ {11x00, 11000, x1000}, xxxx1 \ {11101, 100x1, 1x001}}
{x00x1 \ {00011, 000x1, 10001}, 1x01x \ {10011, 1x011, 11010}}
{
   x0011x0111 \ {
   x001100111, x001110111, 00011x0111, 00011x0111}, 1x011x0111 \ {
   1x01100111, 1x01110111, 10011x0111, 1x011x0111}, x00x1xxxx1 \ {
   x0011xxx01, x0001xxx11, x00x111101, x00x1100x1, x00x11x001, 00011xxxx1, 000x1xxxx1, 10001xxxx1}, 1x011xxx11 \ {
   1x01110011, 10011xxx11, 1x011xxx11}}

{x01xx \ {10100, 00110, 1011x}, x1111 \ {11111, 01111, 01111}}
{000x0 \ {00010, 00000, 00000}, x111x \ {11110, 01111, x1110}, 1xx10 \ {11x10, 10110, 10010}}
{
   000x0x01x0 \ {
   00010x0100, 00000x0110, 000x010100, 000x000110, 000x010110, 00010x01x0, 00000x01x0, 00000x01x0}, x111xx011x \ {
   x1111x0110, x1110x0111, x111x00110, x111x1011x, 11110x011x, 01111x011x, x1110x011x}, 1xx10x0110 \ {
   1xx1000110, 1xx1010110, 11x10x0110, 10110x0110, 10010x0110}, x1111x1111 \ {
   x111111111, x111101111, x111101111, 01111x1111}}

{0x0xx \ {0x01x, 000xx, 000x1}, 10x11 \ {10011, 10111}}
{010xx \ {01001, 010x0, 010x1}}
{
   010xx0x0xx \ {
   010x10x0x0, 010x00x0x1, 0101x0x00x, 0100x0x01x, 010xx0x01x, 010xx000xx, 010xx000x1, 010010x0xx, 010x00x0xx, 010x10x0xx}, 0101110x11 \ {
   0101110011, 0101110111, 0101110x11}}

{xx0xx \ {1x0xx, 10011, x10x0}, 10x1x \ {10011, 1001x, 10110}, 101x1 \ {10101}}
{}
{}

{001xx \ {00100, 001x1, 00101}, 1xxx1 \ {10xx1, 1x001, 11111}}
{0xx10 \ {01110, 01x10, 0x110}}
{
   0xx1000110 \ {
   0111000110, 01x1000110, 0x11000110}}

{}
{1110x \ {11100}}
{}

{1001x \ {10010}, 0100x \ {01001, 01000, 01000}}
{}
{}

{1x1x0 \ {10100, 10110, 11110}, 0010x \ {00100, 00101}}
{x110x \ {01100, x1101, 01101}, x1x01 \ {x1101, 01001, 01x01}}
{
   x11001x100 \ {
   x110010100, 011001x100}, x110x0010x \ {
   x110100100, x110000101, x110x00100, x110x00101, 011000010x, x11010010x, 011010010x}, x1x0100101 \ {
   x1x0100101, x110100101, 0100100101, 01x0100101}}

{11x1x \ {11x10, 11x11, 11111}}
{1xxx0 \ {1x0x0, 1x100, 100x0}}
{
   1xx1011x10 \ {
   1xx1011x10, 1x01011x10, 1001011x10}}

{01xx0 \ {01000, 01x10, 01x00}}
{x011x \ {10111, x0111, x0110}}
{
   x011001x10 \ {
   x011001x10, x011001x10}}

{0x0x1 \ {01001, 010x1, 0x001}}
{}
{}

{11x1x \ {11011, 1101x, 1101x}, 0001x \ {00011, 00010}, x0xx0 \ {x00x0, 10100, 00100}}
{10x1x \ {10111, 10110}, 10xx1 \ {10x01, 100x1, 101x1}}
{
   10x1x11x1x \ {
   10x1111x10, 10x1011x11, 10x1x11011, 10x1x1101x, 10x1x1101x, 1011111x1x, 1011011x1x}, 10x1111x11 \ {
   10x1111011, 10x1111011, 10x1111011, 1001111x11, 1011111x11}, 10x1x0001x \ {
   10x1100010, 10x1000011, 10x1x00011, 10x1x00010, 101110001x, 101100001x}, 10x1100011 \ {
   10x1100011, 1001100011, 1011100011}, 10x10x0x10 \ {
   10x10x0010, 10110x0x10}}

{1x01x \ {10011, 11011, 11011}, x1101 \ {01101, 11101}}
{x0xx0 \ {x0110, x0x00, 00100}}
{
   x0x101x010 \ {
   x01101x010}}

{xxxx1 \ {x1xx1, xx1x1, x1101}, 010x0 \ {01000}, x00x0 \ {10000, 000x0, 100x0}}
{xx011 \ {x1011, x0011}}
{
   xx011xxx11 \ {
   xx011x1x11, xx011xx111, x1011xxx11, x0011xxx11}}

{xxx11 \ {xx011, 1x111, 00011}, 11x0x \ {11100, 11x01, 1100x}, xx0x0 \ {010x0, xx010, x10x0}}
{x1x01 \ {x1101, 01x01, 01001}, xx010 \ {00010, x1010, 1x010}}
{
   x1x0111x01 \ {
   x1x0111x01, x1x0111001, x110111x01, 01x0111x01, 0100111x01}, xx010xx010 \ {
   xx01001010, xx010xx010, xx010x1010, 00010xx010, x1010xx010, 1x010xx010}}

{x0x00 \ {00000, 10x00}, 1110x \ {11100, 11101, 11101}, x01xx \ {001x0, 1011x, 00111}}
{1x10x \ {11100, 11101, 10100}, 11xx0 \ {11000, 11x00}, x11x0 \ {111x0, 01100, x1100}}
{
   1x100x0x00 \ {
   1x10000000, 1x10010x00, 11100x0x00, 10100x0x00}, 11x00x0x00 \ {
   11x0000000, 11x0010x00, 11000x0x00, 11x00x0x00}, x1100x0x00 \ {
   x110000000, x110010x00, 11100x0x00, 01100x0x00, x1100x0x00}, 1x10x1110x \ {
   1x10111100, 1x10011101, 1x10x11100, 1x10x11101, 1x10x11101, 111001110x, 111011110x, 101001110x}, 11x0011100 \ {
   11x0011100, 1100011100, 11x0011100}, x110011100 \ {
   x110011100, 1110011100, 0110011100, x110011100}, 1x10xx010x \ {
   1x101x0100, 1x100x0101, 1x10x00100, 11100x010x, 11101x010x, 10100x010x}, 11xx0x01x0 \ {
   11x10x0100, 11x00x0110, 11xx0001x0, 11xx010110, 11000x01x0, 11x00x01x0}, x11x0x01x0 \ {
   x1110x0100, x1100x0110, x11x0001x0, x11x010110, 111x0x01x0, 01100x01x0, x1100x01x0}}

{}
{1xxxx \ {110x0, 11xx1, 111x1}, x11xx \ {11101, 1111x, 11100}}
{}

{}
{1011x \ {10111}, x0xx1 \ {x0011, x0101, 00xx1}}
{}

{1001x \ {10011, 10010, 10010}}
{0x0x1 \ {010x1, 01001, 000x1}}
{
   0x01110011 \ {
   0x01110011, 0101110011, 0001110011}}

{01xxx \ {0110x, 01101, 010x1}, x10xx \ {11010, 010x1, 01001}}
{xx0xx \ {x00x1, 010x0, 11001}}
{
   xx0xx01xxx \ {
   xx0x101xx0, xx0x001xx1, xx01x01x0x, xx00x01x1x, xx0xx0110x, xx0xx01101, xx0xx010x1, x00x101xxx, 010x001xxx, 1100101xxx}, xx0xxx10xx \ {
   xx0x1x10x0, xx0x0x10x1, xx01xx100x, xx00xx101x, xx0xx11010, xx0xx010x1, xx0xx01001, x00x1x10xx, 010x0x10xx, 11001x10xx}}

{x0x0x \ {00x01, x010x, x0101}, xx0xx \ {xx0x1, 010xx, 11001}}
{0x1x1 \ {011x1, 01101, 001x1}, 1x01x \ {1x010, 10010, 10010}}
{
   0x101x0x01 \ {
   0x10100x01, 0x101x0101, 0x101x0101, 01101x0x01, 01101x0x01, 00101x0x01}, 0x1x1xx0x1 \ {
   0x111xx001, 0x101xx011, 0x1x1xx0x1, 0x1x1010x1, 0x1x111001, 011x1xx0x1, 01101xx0x1, 001x1xx0x1}, 1x01xxx01x \ {
   1x011xx010, 1x010xx011, 1x01xxx011, 1x01x0101x, 1x010xx01x, 10010xx01x, 10010xx01x}}

{111x1 \ {11111, 11101}}
{000xx \ {00000, 00010, 00010}}
{
   000x1111x1 \ {
   0001111101, 0000111111, 000x111111, 000x111101}}

{xx011 \ {0x011, x1011}, x0x0x \ {00x01, 10101, 1000x}}
{xxx11 \ {x1011, 1x111, x1111}, xxx0x \ {0x001, 11x00, x0x0x}}
{
   xxx11xx011 \ {
   xxx110x011, xxx11x1011, x1011xx011, 1x111xx011, x1111xx011}, xxx0xx0x0x \ {
   xxx01x0x00, xxx00x0x01, xxx0x00x01, xxx0x10101, xxx0x1000x, 0x001x0x0x, 11x00x0x0x, x0x0xx0x0x}}

{}
{0x01x \ {00010, 0101x, 0001x}}
{}

{x1xxx \ {01100, 11x11, x111x}, 0xx01 \ {01x01, 0x101}, 1xx1x \ {10011, 10x11, 1x011}}
{x00xx \ {0000x, 10011, 000x0}, 11x1x \ {11011, 1111x, 11x10}}
{
   x00xxx1xxx \ {
   x00x1x1xx0, x00x0x1xx1, x001xx1x0x, x000xx1x1x, x00xx01100, x00xx11x11, x00xxx111x, 0000xx1xxx, 10011x1xxx, 000x0x1xxx}, 11x1xx1x1x \ {
   11x11x1x10, 11x10x1x11, 11x1x11x11, 11x1xx111x, 11011x1x1x, 1111xx1x1x, 11x10x1x1x}, x00010xx01 \ {
   x000101x01, x00010x101, 000010xx01}, x001x1xx1x \ {
   x00111xx10, x00101xx11, x001x10011, x001x10x11, x001x1x011, 100111xx1x, 000101xx1x}, 11x1x1xx1x \ {
   11x111xx10, 11x101xx11, 11x1x10011, 11x1x10x11, 11x1x1x011, 110111xx1x, 1111x1xx1x, 11x101xx1x}}

{xx11x \ {0x110, 00111, 01110}, 11x11 \ {11011, 11111, 11111}}
{1x0x1 \ {11011, 10011, 1x011}, xx01x \ {0x01x, 10010, xx010}}
{
   1x011xx111 \ {
   1x01100111, 11011xx111, 10011xx111, 1x011xx111}, xx01xxx11x \ {
   xx011xx110, xx010xx111, xx01x0x110, xx01x00111, xx01x01110, 0x01xxx11x, 10010xx11x, xx010xx11x}, 1x01111x11 \ {
   1x01111011, 1x01111111, 1x01111111, 1101111x11, 1001111x11, 1x01111x11}, xx01111x11 \ {
   xx01111011, xx01111111, xx01111111, 0x01111x11}}

{xx10x \ {x0101, 00101, xx101}, x01x1 \ {10101, 10111, 00111}}
{xxx11 \ {1x011, 0x111, x1011}}
{
   xxx11x0111 \ {
   xxx1110111, xxx1100111, 1x011x0111, 0x111x0111, x1011x0111}}

{1001x \ {10011, 10010, 10010}, xx010 \ {1x010, 0x010}}
{00x00 \ {00100}}
{}

{xxxx1 \ {00001, xx111, x1111}, 0x01x \ {0x011, 01011, 00010}}
{1xx1x \ {11x11, 1x011, 10111}}
{
   1xx11xxx11 \ {
   1xx11xx111, 1xx11x1111, 11x11xxx11, 1x011xxx11, 10111xxx11}, 1xx1x0x01x \ {
   1xx110x010, 1xx100x011, 1xx1x0x011, 1xx1x01011, 1xx1x00010, 11x110x01x, 1x0110x01x, 101110x01x}}

{}
{1x0x1 \ {110x1, 100x1, 10001}}
{}

{0x001 \ {00001, 01001}}
{xx0xx \ {11010, x10x1, x10xx}, 0xxxx \ {01x1x, 0x101, 010x0}}
{
   xx0010x001 \ {
   xx00100001, xx00101001, x10010x001, x10010x001}, 0xx010x001 \ {
   0xx0100001, 0xx0101001, 0x1010x001}}

{x1xxx \ {11011, x1001, x111x}, xx001 \ {x0001, x1001, 11001}}
{0111x \ {01111, 01110, 01110}, xx11x \ {x111x, 1111x, 11110}}
{
   0111xx1x1x \ {
   01111x1x10, 01110x1x11, 0111x11011, 0111xx111x, 01111x1x1x, 01110x1x1x, 01110x1x1x}, xx11xx1x1x \ {
   xx111x1x10, xx110x1x11, xx11x11011, xx11xx111x, x111xx1x1x, 1111xx1x1x, 11110x1x1x}}

{11x0x \ {11100, 1100x, 1110x}, x1000 \ {01000}, x1x01 \ {11001, x1101}}
{xx111 \ {11111, 01111}}
{}

{x11xx \ {111x0, 1111x}}
{x0x00 \ {x0000, 00x00, 00000}, 101x1 \ {10111}, 0x11x \ {01110, 00111}}
{
   x0x00x1100 \ {
   x0x0011100, x0000x1100, 00x00x1100, 00000x1100}, 101x1x11x1 \ {
   10111x1101, 10101x1111, 101x111111, 10111x11x1}, 0x11xx111x \ {
   0x111x1110, 0x110x1111, 0x11x11110, 0x11x1111x, 01110x111x, 00111x111x}}

{xx1x0 \ {10100, 00100, 10110}, x10x0 \ {01010, 010x0, 01000}}
{xx00x \ {10000, 00001, xx001}}
{
   xx000xx100 \ {
   xx00010100, xx00000100, 10000xx100}, xx000x1000 \ {
   xx00001000, xx00001000, 10000x1000}}

{000x0 \ {00000}}
{01x0x \ {01x00, 01000, 01100}, x1xx0 \ {11x00, 01x00, 11000}}
{
   01x0000000 \ {
   01x0000000, 01x0000000, 0100000000, 0110000000}, x1xx0000x0 \ {
   x1x1000000, x1x0000010, x1xx000000, 11x00000x0, 01x00000x0, 11000000x0}}

{xx0xx \ {10011, 11001, x001x}, 1xx10 \ {11010, 10110, 1x110}}
{011x0 \ {01110}, x1xxx \ {010x1, 11010, x11x1}}
{
   011x0xx0x0 \ {
   01110xx000, 01100xx010, 011x0x0010, 01110xx0x0}, x1xxxxx0xx \ {
   x1xx1xx0x0, x1xx0xx0x1, x1x1xxx00x, x1x0xxx01x, x1xxx10011, x1xxx11001, x1xxxx001x, 010x1xx0xx, 11010xx0xx, x11x1xx0xx}, 011101xx10 \ {
   0111011010, 0111010110, 011101x110, 011101xx10}, x1x101xx10 \ {
   x1x1011010, x1x1010110, x1x101x110, 110101xx10}}

{0xxxx \ {0110x, 01111, 00xx1}, 000x0 \ {00000, 00010, 00010}}
{}
{}

{}
{}
{}

{x0001 \ {00001}}
{x11x1 \ {x1101, 01101, 01111}}
{
   x1101x0001 \ {
   x110100001, x1101x0001, 01101x0001}}

{x001x \ {1001x, x0010, 00011}, 001xx \ {00101, 00100}}
{0x000 \ {01000, 00000}}
{
   0x00000100 \ {
   0x00000100, 0100000100, 0000000100}}

{1x010 \ {11010, 10010}, 1x0xx \ {1x000, 1x0x0, 10000}, 000xx \ {00011, 00010}}
{11xxx \ {11111, 11x11, 11010}, 0x1x1 \ {0x111, 001x1, 00111}}
{
   11x101x010 \ {
   11x1011010, 11x1010010, 110101x010}, 11xxx1x0xx \ {
   11xx11x0x0, 11xx01x0x1, 11x1x1x00x, 11x0x1x01x, 11xxx1x000, 11xxx1x0x0, 11xxx10000, 111111x0xx, 11x111x0xx, 110101x0xx}, 0x1x11x0x1 \ {
   0x1111x001, 0x1011x011, 0x1111x0x1, 001x11x0x1, 001111x0x1}, 11xxx000xx \ {
   11xx1000x0, 11xx0000x1, 11x1x0000x, 11x0x0001x, 11xxx00011, 11xxx00010, 11111000xx, 11x11000xx, 11010000xx}, 0x1x1000x1 \ {
   0x11100001, 0x10100011, 0x1x100011, 0x111000x1, 001x1000x1, 00111000x1}}

{x11xx \ {111xx, 01111, x110x}, xx1x1 \ {x11x1, x1111, 0x111}}
{x10xx \ {1101x, x10x0, 010xx}, 1010x \ {10100}}
{
   x10xxx11xx \ {
   x10x1x11x0, x10x0x11x1, x101xx110x, x100xx111x, x10xx111xx, x10xx01111, x10xxx110x, 1101xx11xx, x10x0x11xx, 010xxx11xx}, 1010xx110x \ {
   10101x1100, 10100x1101, 1010x1110x, 1010xx110x, 10100x110x}, x10x1xx1x1 \ {
   x1011xx101, x1001xx111, x10x1x11x1, x10x1x1111, x10x10x111, 11011xx1x1, 010x1xx1x1}, 10101xx101 \ {
   10101x1101}}

{x0101 \ {10101}}
{}
{}

{0x1xx \ {01100, 00100, 0x1x0}, 00x11 \ {00111, 00011, 00011}}
{xx010 \ {x0010}, 1xx00 \ {10x00, 1x000, 1x000}}
{
   xx0100x110 \ {
   xx0100x110, x00100x110}, 1xx000x100 \ {
   1xx0001100, 1xx0000100, 1xx000x100, 10x000x100, 1x0000x100, 1x0000x100}}

{11xxx \ {11000, 11x10, 1111x}}
{x0xx0 \ {10110, 10xx0, x0110}}
{
   x0xx011xx0 \ {
   x0x1011x00, x0x0011x10, x0xx011000, x0xx011x10, x0xx011110, 1011011xx0, 10xx011xx0, x011011xx0}}

{001x0 \ {00100, 00110, 00110}, x01x0 \ {10110, 10100, x0100}}
{}
{}

{}
{xxx01 \ {x0x01, 0x101, 11101}}
{}

{0xx0x \ {00001, 0000x, 0110x}, 1xx1x \ {11010, 10x10, 10011}}
{xx0x1 \ {11011, x0011, x1011}, xx1xx \ {101xx, 1111x, x1110}}
{
   xx0010xx01 \ {
   xx00100001, xx00100001, xx00101101}, xx10x0xx0x \ {
   xx1010xx00, xx1000xx01, xx10x00001, xx10x0000x, xx10x0110x, 1010x0xx0x}, xx0111xx11 \ {
   xx01110011, 110111xx11, x00111xx11, x10111xx11}, xx11x1xx1x \ {
   xx1111xx10, xx1101xx11, xx11x11010, xx11x10x10, xx11x10011, 1011x1xx1x, 1111x1xx1x, x11101xx1x}}

{xxx01 \ {1xx01, 1x101, x1001}, x0xxx \ {1010x, x00x0, 00x11}}
{00x11 \ {00011, 00111}}
{
   00x11x0x11 \ {
   00x1100x11, 00011x0x11, 00111x0x11}}

{x111x \ {1111x, 0111x}, 10xx0 \ {10010, 10000}}
{11x0x \ {11001, 11x00, 11x01}}
{
   11x0010x00 \ {
   11x0010000, 11x0010x00}}

{xx0x0 \ {1x010, xx010, 0x0x0}, xx0xx \ {0001x, 0000x, 110x1}, 1x1x1 \ {10101, 111x1, 1x111}}
{001xx \ {0011x, 001x0, 0010x}, 00x1x \ {0011x, 0001x, 00010}}
{
   001x0xx0x0 \ {
   00110xx000, 00100xx010, 001x01x010, 001x0xx010, 001x00x0x0, 00110xx0x0, 001x0xx0x0, 00100xx0x0}, 00x10xx010 \ {
   00x101x010, 00x10xx010, 00x100x010, 00110xx010, 00010xx010, 00010xx010}, 001xxxx0xx \ {
   001x1xx0x0, 001x0xx0x1, 0011xxx00x, 0010xxx01x, 001xx0001x, 001xx0000x, 001xx110x1, 0011xxx0xx, 001x0xx0xx, 0010xxx0xx}, 00x1xxx01x \ {
   00x11xx010, 00x10xx011, 00x1x0001x, 00x1x11011, 0011xxx01x, 0001xxx01x, 00010xx01x}, 001x11x1x1 \ {
   001111x101, 001011x111, 001x110101, 001x1111x1, 001x11x111, 001111x1x1, 001011x1x1}, 00x111x111 \ {
   00x1111111, 00x111x111, 001111x111, 000111x111}}

{x01xx \ {00111, x01x1, 001x0}, 1x0xx \ {10000, 110xx, 1x001}}
{1xx1x \ {10111, 1xx10, 11111}}
{
   1xx1xx011x \ {
   1xx11x0110, 1xx10x0111, 1xx1x00111, 1xx1xx0111, 1xx1x00110, 10111x011x, 1xx10x011x, 11111x011x}, 1xx1x1x01x \ {
   1xx111x010, 1xx101x011, 1xx1x1101x, 101111x01x, 1xx101x01x, 111111x01x}}

{1x0xx \ {1x011, 10001, 1000x}}
{}
{}

{10x1x \ {10011, 1011x, 10x11}}
{}
{}

{xx0xx \ {0x00x, 11000, x0011}, 00x1x \ {00x11, 00110, 00111}}
{010xx \ {010x1, 0100x, 01010}}
{
   010xxxx0xx \ {
   010x1xx0x0, 010x0xx0x1, 0101xxx00x, 0100xxx01x, 010xx0x00x, 010xx11000, 010xxx0011, 010x1xx0xx, 0100xxx0xx, 01010xx0xx}, 0101x00x1x \ {
   0101100x10, 0101000x11, 0101x00x11, 0101x00110, 0101x00111, 0101100x1x, 0101000x1x}}

{10xx1 \ {10001, 10x11, 10x01}, 0xx00 \ {01100, 01x00, 01000}}
{0xx01 \ {0x001, 0x101, 00x01}, 1xxx1 \ {10011, 111x1, 11x01}}
{
   0xx0110x01 \ {
   0xx0110001, 0xx0110x01, 0x00110x01, 0x10110x01, 00x0110x01}, 1xxx110xx1 \ {
   1xx1110x01, 1xx0110x11, 1xxx110001, 1xxx110x11, 1xxx110x01, 1001110xx1, 111x110xx1, 11x0110xx1}}

{00xx1 \ {00x11, 001x1, 00101}}
{xxxx1 \ {x1xx1, 10xx1, 11101}, 1xxxx \ {10x0x, 11xx0, 1101x}}
{
   xxxx100xx1 \ {
   xxx1100x01, xxx0100x11, xxxx100x11, xxxx1001x1, xxxx100101, x1xx100xx1, 10xx100xx1, 1110100xx1}, 1xxx100xx1 \ {
   1xx1100x01, 1xx0100x11, 1xxx100x11, 1xxx1001x1, 1xxx100101, 10x0100xx1, 1101100xx1}}

{00x00 \ {00000, 00100, 00100}}
{1x100 \ {11100, 10100}, 0x0x1 \ {00011, 010x1, 00001}, 0xxx1 \ {00001, 00011, 01x01}}
{
   1x10000x00 \ {
   1x10000000, 1x10000100, 1x10000100, 1110000x00, 1010000x00}}

{xx010 \ {10010}}
{x000x \ {10001, 00001, 0000x}}
{}

{11x0x \ {11100, 11x01, 11001}, xx000 \ {x0000, x1000, 10000}}
{xxx0x \ {0xx00, x010x, 0x001}, 001x1 \ {00111, 00101, 00101}}
{
   xxx0x11x0x \ {
   xxx0111x00, xxx0011x01, xxx0x11100, xxx0x11x01, xxx0x11001, 0xx0011x0x, x010x11x0x, 0x00111x0x}, 0010111x01 \ {
   0010111x01, 0010111001, 0010111x01, 0010111x01}, xxx00xx000 \ {
   xxx00x0000, xxx00x1000, xxx0010000, 0xx00xx000, x0100xx000}}

{xxxx1 \ {0x0x1, xx011, 1x011}, 010xx \ {01000, 01010, 010x0}}
{0x1x1 \ {01111, 0x111, 00111}}
{
   0x1x1xxxx1 \ {
   0x111xxx01, 0x101xxx11, 0x1x10x0x1, 0x1x1xx011, 0x1x11x011, 01111xxxx1, 0x111xxxx1, 00111xxxx1}, 0x1x1010x1 \ {
   0x11101001, 0x10101011, 01111010x1, 0x111010x1, 00111010x1}}

{1x010 \ {11010, 10010, 10010}, xx0xx \ {x0011, 10011, 110x1}}
{0011x \ {00110, 00111}}
{
   001101x010 \ {
   0011011010, 0011010010, 0011010010, 001101x010}, 0011xxx01x \ {
   00111xx010, 00110xx011, 0011xx0011, 0011x10011, 0011x11011, 00110xx01x, 00111xx01x}}

{xx0xx \ {0x011, 0000x, 11000}, 001xx \ {0011x, 00101, 00100}, 11xx1 \ {11011, 11x01}}
{01x01 \ {01101}, 1xxx0 \ {10x10, 1x1x0, 1x010}}
{
   01x01xx001 \ {
   01x0100001, 01101xx001}, 1xxx0xx0x0 \ {
   1xx10xx000, 1xx00xx010, 1xxx000000, 1xxx011000, 10x10xx0x0, 1x1x0xx0x0, 1x010xx0x0}, 01x0100101 \ {
   01x0100101, 0110100101}, 1xxx0001x0 \ {
   1xx1000100, 1xx0000110, 1xxx000110, 1xxx000100, 10x10001x0, 1x1x0001x0, 1x010001x0}, 01x0111x01 \ {
   01x0111x01, 0110111x01}}

{1x1xx \ {1x1x1, 1x111, 1011x}}
{0xx1x \ {0011x, 0x01x, 00x11}}
{
   0xx1x1x11x \ {
   0xx111x110, 0xx101x111, 0xx1x1x111, 0xx1x1x111, 0xx1x1011x, 0011x1x11x, 0x01x1x11x, 00x111x11x}}

{x1xx0 \ {11xx0, x1010, 11110}}
{}
{}

{}
{x111x \ {01111, x1110, 11110}}
{}

{x0xx1 \ {00xx1, 00x01, 00x11}, x01x0 \ {101x0, 001x0}}
{x1010 \ {11010}, x0x00 \ {10000, 10x00, 10100}}
{
   x1010x0110 \ {
   x101010110, x101000110, 11010x0110}, x0x00x0100 \ {
   x0x0010100, x0x0000100, 10000x0100, 10x00x0100, 10100x0100}}

{0x00x \ {0100x, 0x001, 00001}, xx0xx \ {01000, 0001x, xx00x}}
{}
{}

{01x1x \ {01110, 0111x, 0101x}}
{x011x \ {x0111, 10110, 0011x}}
{
   x011x01x1x \ {
   x011101x10, x011001x11, x011x01110, x011x0111x, x011x0101x, x011101x1x, 1011001x1x, 0011x01x1x}}

{11xxx \ {11101, 11011, 11x11}}
{0x0xx \ {000x1, 0x00x}, xx1xx \ {11100, 00100, 1010x}, 0x00x \ {0000x, 00000, 00000}}
{
   0x0xx11xxx \ {
   0x0x111xx0, 0x0x011xx1, 0x01x11x0x, 0x00x11x1x, 0x0xx11101, 0x0xx11011, 0x0xx11x11, 000x111xxx, 0x00x11xxx}, xx1xx11xxx \ {
   xx1x111xx0, xx1x011xx1, xx11x11x0x, xx10x11x1x, xx1xx11101, xx1xx11011, xx1xx11x11, 1110011xxx, 0010011xxx, 1010x11xxx}, 0x00x11x0x \ {
   0x00111x00, 0x00011x01, 0x00x11101, 0000x11x0x, 0000011x0x, 0000011x0x}}

{1xx01 \ {10001, 10x01, 1x001}}
{00xxx \ {001x0, 00111, 00x00}}
{
   00x011xx01 \ {
   00x0110001, 00x0110x01, 00x011x001}}

{x0101 \ {10101, 00101}}
{1x010 \ {11010, 10010, 10010}, xx1xx \ {xx110, 1110x, x01xx}, 1xx11 \ {1x111, 1x011, 1x011}}
{
   xx101x0101 \ {
   xx10110101, xx10100101, 11101x0101, x0101x0101}}

{x0110 \ {10110}}
{1xx1x \ {11x11, 1011x, 1111x}, 1xx1x \ {1xx11, 11x10, 1111x}}
{
   1xx10x0110 \ {
   1xx1010110, 10110x0110, 11110x0110}, 1xx10x0110 \ {
   1xx1010110, 11x10x0110, 11110x0110}}

{}
{}
{}

{01x0x \ {01100, 01001, 01000}, 00x0x \ {00001, 00101}}
{xx101 \ {1x101, 00101}}
{
   xx10101x01 \ {
   xx10101001, 1x10101x01, 0010101x01}, xx10100x01 \ {
   xx10100001, xx10100101, 1x10100x01, 0010100x01}}

{111x1 \ {11101, 11111}}
{01x1x \ {0111x, 0101x, 01010}, x1x01 \ {01101}}
{
   01x1111111 \ {
   01x1111111, 0111111111, 0101111111}, x1x0111101 \ {
   x1x0111101, 0110111101}}

{xx110 \ {00110, x1110, 01110}, x10xx \ {01000, 01001, 110x0}}
{1x01x \ {10011, 1001x, 1x011}, xx1x0 \ {1x100, 11100, 001x0}}
{
   1x010xx110 \ {
   1x01000110, 1x010x1110, 1x01001110, 10010xx110}, xx110xx110 \ {
   xx11000110, xx110x1110, xx11001110, 00110xx110}, 1x01xx101x \ {
   1x011x1010, 1x010x1011, 1x01x11010, 10011x101x, 1001xx101x, 1x011x101x}, xx1x0x10x0 \ {
   xx110x1000, xx100x1010, xx1x001000, xx1x0110x0, 1x100x10x0, 11100x10x0, 001x0x10x0}}

{x1x11 \ {x1011, 11011, 01x11}, 1x01x \ {11010, 11011, 10011}}
{xx1x0 \ {11100, 01100, 0x100}}
{
   xx1101x010 \ {
   xx11011010}}

{0000x \ {00000, 00001}}
{1x110 \ {10110}, 000x1 \ {00001, 00011}, x1xx1 \ {11111, 01001, 01x01}}
{
   0000100001 \ {
   0000100001, 0000100001}, x1x0100001 \ {
   x1x0100001, 0100100001, 01x0100001}}

{1xx10 \ {10110, 11010, 10x10}, x1x01 \ {11001, x1101, 01101}}
{x11x1 \ {111x1, 11111, x1101}, 1x11x \ {1x111, 10110}}
{
   1x1101xx10 \ {
   1x11010110, 1x11011010, 1x11010x10, 101101xx10}, x1101x1x01 \ {
   x110111001, x1101x1101, x110101101, 11101x1x01, x1101x1x01}}

{0x000 \ {00000, 01000, 01000}}
{1x010 \ {11010, 10010}, xx111 \ {x1111, 0x111}}
{}

{0x1x1 \ {0x111, 01111, 00101}}
{xx10x \ {01100, 11100, x0100}}
{
   xx1010x101 \ {
   xx10100101}}

{0xxx0 \ {01x10, 0xx00, 000x0}}
{x1xx1 \ {01011, 11x01, 011x1}, 0x101 \ {00101, 01101}, 0xxxx \ {0xx1x, 0x0xx}}
{
   0xxx00xxx0 \ {
   0xx100xx00, 0xx000xx10, 0xxx001x10, 0xxx00xx00, 0xxx0000x0, 0xx100xxx0, 0x0x00xxx0}}

{x011x \ {10111, 10110, x0110}, 1x1xx \ {1x101, 101x1, 11100}}
{0000x \ {00001, 00000}, x0x1x \ {00x11, 1001x, x011x}}
{
   x0x1xx011x \ {
   x0x11x0110, x0x10x0111, x0x1x10111, x0x1x10110, x0x1xx0110, 00x11x011x, 1001xx011x, x011xx011x}, 0000x1x10x \ {
   000011x100, 000001x101, 0000x1x101, 0000x10101, 0000x11100, 000011x10x, 000001x10x}, x0x1x1x11x \ {
   x0x111x110, x0x101x111, x0x1x10111, 00x111x11x, 1001x1x11x, x011x1x11x}}

{1xx00 \ {10x00, 11x00, 10100}}
{x0x10 \ {10010, 10110, 00x10}, 1xx0x \ {1x000, 11000, 1x100}, xx101 \ {11101, 1x101}}
{
   1xx001xx00 \ {
   1xx0010x00, 1xx0011x00, 1xx0010100, 1x0001xx00, 110001xx00, 1x1001xx00}}

{x00xx \ {10011, x0010, 1001x}, x10x1 \ {01001, x1001, 110x1}, 01xx1 \ {01111, 010x1, 01101}}
{x0xxx \ {x0010, x01xx, 00100}, xxxx0 \ {00000, xxx00, 01x10}, 0x110 \ {01110, 00110}}
{
   x0xxxx00xx \ {
   x0xx1x00x0, x0xx0x00x1, x0x1xx000x, x0x0xx001x, x0xxx10011, x0xxxx0010, x0xxx1001x, x0010x00xx, x01xxx00xx, 00100x00xx}, xxxx0x00x0 \ {
   xxx10x0000, xxx00x0010, xxxx0x0010, xxxx010010, 00000x00x0, xxx00x00x0, 01x10x00x0}, 0x110x0010 \ {
   0x110x0010, 0x11010010, 01110x0010, 00110x0010}, x0xx1x10x1 \ {
   x0x11x1001, x0x01x1011, x0xx101001, x0xx1x1001, x0xx1110x1, x01x1x10x1}, x0xx101xx1 \ {
   x0x1101x01, x0x0101x11, x0xx101111, x0xx1010x1, x0xx101101, x01x101xx1}}

{x110x \ {1110x, 01101, 01101}}
{xx10x \ {1x100, xx101, x1101}}
{
   xx10xx110x \ {
   xx101x1100, xx100x1101, xx10x1110x, xx10x01101, xx10x01101, 1x100x110x, xx101x110x, x1101x110x}}

{xx010 \ {x0010, x1010, 00010}}
{1xxx1 \ {11101, 11xx1, 101x1}, 1xx01 \ {10x01, 11x01, 11101}}
{}

{1x0x1 \ {1x011, 1x001, 1x001}, 1x1xx \ {1110x, 1x111, 1x101}, 001xx \ {00111, 001x0}}
{x001x \ {10010, 0001x}, 1x110 \ {10110}}
{
   x00111x011 \ {
   x00111x011, 000111x011}, x001x1x11x \ {
   x00111x110, x00101x111, x001x1x111, 100101x11x, 0001x1x11x}, 1x1101x110 \ {
   101101x110}, x001x0011x \ {
   x001100110, x001000111, x001x00111, x001x00110, 100100011x, 0001x0011x}, 1x11000110 \ {
   1x11000110, 1011000110}}

{1001x \ {10010, 10011}, x0x0x \ {0000x, 00x0x}, x0000 \ {10000, 00000}}
{0x100 \ {01100}}
{
   0x100x0x00 \ {
   0x10000000, 0x10000x00, 01100x0x00}, 0x100x0000 \ {
   0x10010000, 0x10000000, 01100x0000}}

{xx0x1 \ {1x001, xx001, 01001}}
{0x111 \ {01111, 00111, 00111}}
{
   0x111xx011 \ {
   01111xx011, 00111xx011, 00111xx011}}

{}
{100xx \ {1001x, 1000x, 100x0}}
{}

{x0x1x \ {0001x, 00x10, 10011}, 1x0xx \ {110xx, 110x0, 1000x}}
{011xx \ {01110, 0111x, 01101}, xx1x1 \ {xx111, 00101, 01101}}
{
   0111xx0x1x \ {
   01111x0x10, 01110x0x11, 0111x0001x, 0111x00x10, 0111x10011, 01110x0x1x, 0111xx0x1x}, xx111x0x11 \ {
   xx11100011, xx11110011, xx111x0x11}, 011xx1x0xx \ {
   011x11x0x0, 011x01x0x1, 0111x1x00x, 0110x1x01x, 011xx110xx, 011xx110x0, 011xx1000x, 011101x0xx, 0111x1x0xx, 011011x0xx}, xx1x11x0x1 \ {
   xx1111x001, xx1011x011, xx1x1110x1, xx1x110001, xx1111x0x1, 001011x0x1, 011011x0x1}}

{x1x1x \ {x1x10, 11x10, x1010}, 0x11x \ {00111, 01110}}
{}
{}

{01x1x \ {01x11, 01110, 01x10}, xxxx0 \ {0x0x0, 01xx0, x00x0}}
{x000x \ {10000, 00000}, 1x100 \ {10100}}
{
   x0000xxx00 \ {
   x00000x000, x000001x00, x0000x0000, 10000xxx00, 00000xxx00}, 1x100xxx00 \ {
   1x1000x000, 1x10001x00, 1x100x0000, 10100xxx00}}

{xxx0x \ {0x000, 00001, 00x00}, 0xx11 \ {00x11, 00011, 0x011}}
{x1x11 \ {01x11, x1111}, 0x011 \ {00011}}
{
   x1x110xx11 \ {
   x1x1100x11, x1x1100011, x1x110x011, 01x110xx11, x11110xx11}, 0x0110xx11 \ {
   0x01100x11, 0x01100011, 0x0110x011, 000110xx11}}

{x0x00 \ {x0000, 00000, 00100}, x10xx \ {x10x0, 010x1, 01010}}
{xx101 \ {0x101, 11101, 01101}}
{
   xx101x1001 \ {
   xx10101001, 0x101x1001, 11101x1001, 01101x1001}}

{xxx00 \ {xx000, 10000, x0x00}, x0x01 \ {10001, x0001}, 0x1xx \ {01110, 001x1, 01111}}
{1xx11 \ {10011, 11111, 11011}, 00x11 \ {00011}}
{
   1xx110x111 \ {
   1xx1100111, 1xx1101111, 100110x111, 111110x111, 110110x111}, 00x110x111 \ {
   00x1100111, 00x1101111, 000110x111}}

{x1100 \ {11100, 01100}}
{0x0xx \ {00011, 01000}}
{
   0x000x1100 \ {
   0x00011100, 0x00001100, 01000x1100}}

{x0x10 \ {00x10, x0110, x0010}, x1x10 \ {11110, 01010, 01x10}}
{001x1 \ {00111}, 001xx \ {0010x, 00100, 0011x}, x1x0x \ {11000, 11100, 01101}}
{
   00110x0x10 \ {
   0011000x10, 00110x0110, 00110x0010, 00110x0x10}, 00110x1x10 \ {
   0011011110, 0011001010, 0011001x10, 00110x1x10}}

{x1xx0 \ {01xx0, 11100, x1110}, x100x \ {01001, 1100x, x1000}}
{xx010 \ {1x010, x0010}, xx1xx \ {x01x0, 011x0, x11xx}}
{
   xx010x1x10 \ {
   xx01001x10, xx010x1110, 1x010x1x10, x0010x1x10}, xx1x0x1xx0 \ {
   xx110x1x00, xx100x1x10, xx1x001xx0, xx1x011100, xx1x0x1110, x01x0x1xx0, 011x0x1xx0, x11x0x1xx0}, xx10xx100x \ {
   xx101x1000, xx100x1001, xx10x01001, xx10x1100x, xx10xx1000, x0100x100x, 01100x100x, x110xx100x}}

{0xxx0 \ {0x110, 00010, 01xx0}}
{x110x \ {11101, 11100, x1100}, x1x01 \ {11x01, 11001, x1001}}
{
   x11000xx00 \ {
   x110001x00, 111000xx00, x11000xx00}}

{00x00 \ {00100, 00000, 00000}, 00xx1 \ {00x01, 00111, 00101}}
{x111x \ {x1110, 11110, 01110}, x1001 \ {11001, 01001, 01001}, 1x100 \ {10100, 11100, 11100}}
{
   1x10000x00 \ {
   1x10000100, 1x10000000, 1x10000000, 1010000x00, 1110000x00, 1110000x00}, x111100x11 \ {
   x111100111}, x100100x01 \ {
   x100100x01, x100100101, 1100100x01, 0100100x01, 0100100x01}}

{}
{1xx1x \ {11011, 11x1x, 10010}, x00xx \ {10001, 10010, 00011}, 0x0x0 \ {000x0, 010x0}}
{}

{0x1x0 \ {0x110, 001x0, 01100}, x1000 \ {11000, 01000}, x1x0x \ {11101, 01x00, x110x}}
{xx0x0 \ {x1000, 1x000, 11010}, 1xx10 \ {11110, 1x110, 10x10}, x1x01 \ {11001, 01001, 01x01}}
{
   xx0x00x1x0 \ {
   xx0100x100, xx0000x110, xx0x00x110, xx0x0001x0, xx0x001100, x10000x1x0, 1x0000x1x0, 110100x1x0}, 1xx100x110 \ {
   1xx100x110, 1xx1000110, 111100x110, 1x1100x110, 10x100x110}, xx000x1000 \ {
   xx00011000, xx00001000, x1000x1000, 1x000x1000}, xx000x1x00 \ {
   xx00001x00, xx000x1100, x1000x1x00, 1x000x1x00}, x1x01x1x01 \ {
   x1x0111101, x1x01x1101, 11001x1x01, 01001x1x01, 01x01x1x01}}

{x1010 \ {11010}, xx111 \ {00111, 1x111, 10111}}
{x00xx \ {00000, 000x0, 0001x}, xx010 \ {00010, 0x010, x0010}}
{
   x0010x1010 \ {
   x001011010, 00010x1010, 00010x1010}, xx010x1010 \ {
   xx01011010, 00010x1010, 0x010x1010, x0010x1010}, x0011xx111 \ {
   x001100111, x00111x111, x001110111, 00011xx111}}

{1x1x0 \ {101x0, 10110, 1x100}}
{xx0x0 \ {1x000, x00x0, 01000}}
{
   xx0x01x1x0 \ {
   xx0101x100, xx0001x110, xx0x0101x0, xx0x010110, xx0x01x100, 1x0001x1x0, x00x01x1x0, 010001x1x0}}

{}
{xx111 \ {10111, x1111, 0x111}, xx001 \ {00001, 01001, x1001}}
{}

{11x1x \ {11x10, 11011, 11110}, 11xxx \ {110x1, 1110x, 11x1x}}
{xx10x \ {1x100, 0010x, 1x101}, x1xx0 \ {11xx0, 11x10, x10x0}}
{
   x1x1011x10 \ {
   x1x1011x10, x1x1011110, 11x1011x10, 11x1011x10, x101011x10}, xx10x11x0x \ {
   xx10111x00, xx10011x01, xx10x11001, xx10x1110x, 1x10011x0x, 0010x11x0x, 1x10111x0x}, x1xx011xx0 \ {
   x1x1011x00, x1x0011x10, x1xx011100, x1xx011x10, 11xx011xx0, 11x1011xx0, x10x011xx0}}

{101xx \ {101x1, 10100, 101x0}, 0x101 \ {00101, 01101}}
{x01xx \ {101x1, 1010x, 00110}, 110x1 \ {11001}}
{
   x01xx101xx \ {
   x01x1101x0, x01x0101x1, x011x1010x, x010x1011x, x01xx101x1, x01xx10100, x01xx101x0, 101x1101xx, 1010x101xx, 00110101xx}, 110x1101x1 \ {
   1101110101, 1100110111, 110x1101x1, 11001101x1}, x01010x101 \ {
   x010100101, x010101101, 101010x101, 101010x101}, 110010x101 \ {
   1100100101, 1100101101, 110010x101}}

{x1xxx \ {0111x, 11x01, 01x10}, 0100x \ {01001, 01000}}
{x10xx \ {010x1, x1011, 01001}, 11xxx \ {11010, 1101x, 110x0}}
{
   x10xxx1xxx \ {
   x10x1x1xx0, x10x0x1xx1, x101xx1x0x, x100xx1x1x, x10xx0111x, x10xx11x01, x10xx01x10, 010x1x1xxx, x1011x1xxx, 01001x1xxx}, 11xxxx1xxx \ {
   11xx1x1xx0, 11xx0x1xx1, 11x1xx1x0x, 11x0xx1x1x, 11xxx0111x, 11xxx11x01, 11xxx01x10, 11010x1xxx, 1101xx1xxx, 110x0x1xxx}, x100x0100x \ {
   x100101000, x100001001, x100x01001, x100x01000, 010010100x, 010010100x}, 11x0x0100x \ {
   11x0101000, 11x0001001, 11x0x01001, 11x0x01000, 110000100x}}

{x010x \ {10100, 00100, 1010x}, x1010 \ {11010, 01010, 01010}, xxx11 \ {11011, 0x011, 01x11}}
{1x11x \ {1x111, 10110}, x1101 \ {01101, 11101}, 0x1xx \ {001x0, 0x100, 00100}}
{
   x1101x0101 \ {
   x110110101, 01101x0101, 11101x0101}, 0x10xx010x \ {
   0x101x0100, 0x100x0101, 0x10x10100, 0x10x00100, 0x10x1010x, 00100x010x, 0x100x010x, 00100x010x}, 1x110x1010 \ {
   1x11011010, 1x11001010, 1x11001010, 10110x1010}, 0x110x1010 \ {
   0x11011010, 0x11001010, 0x11001010, 00110x1010}, 1x111xxx11 \ {
   1x11111011, 1x1110x011, 1x11101x11, 1x111xxx11}, 0x111xxx11 \ {
   0x11111011, 0x1110x011, 0x11101x11}}

{xx1x1 \ {01111, 111x1, 11101}}
{0001x \ {00011, 00010}, 1x1x0 \ {10100, 11110, 10110}, x0101 \ {00101}}
{
   00011xx111 \ {
   0001101111, 0001111111, 00011xx111}, x0101xx101 \ {
   x010111101, x010111101, 00101xx101}}

{}
{xxx0x \ {11101, x0x01, 00x01}, 1x011 \ {11011, 10011}}
{}

{0xx01 \ {01101, 00x01}}
{x001x \ {10010, x0010, 10011}, 1110x \ {11100, 11101}}
{
   111010xx01 \ {
   1110101101, 1110100x01, 111010xx01}}

{xx0x0 \ {x1000, 1x0x0, x10x0}, xxxx0 \ {11010, 0xx00, 01000}}
{1xxx0 \ {1x100, 11100, 11110}, 0x00x \ {01001, 01000}, 10x10 \ {10110, 10010, 10010}}
{
   1xxx0xx0x0 \ {
   1xx10xx000, 1xx00xx010, 1xxx0x1000, 1xxx01x0x0, 1xxx0x10x0, 1x100xx0x0, 11100xx0x0, 11110xx0x0}, 0x000xx000 \ {
   0x000x1000, 0x0001x000, 0x000x1000, 01000xx000}, 10x10xx010 \ {
   10x101x010, 10x10x1010, 10110xx010, 10010xx010, 10010xx010}, 1xxx0xxxx0 \ {
   1xx10xxx00, 1xx00xxx10, 1xxx011010, 1xxx00xx00, 1xxx001000, 1x100xxxx0, 11100xxxx0, 11110xxxx0}, 0x000xxx00 \ {
   0x0000xx00, 0x00001000, 01000xxx00}, 10x10xxx10 \ {
   10x1011010, 10110xxx10, 10010xxx10, 10010xxx10}}

{x101x \ {11011, x1010, 0101x}, 1xxx1 \ {10001, 10011, 11x01}}
{1xx0x \ {10000, 1xx01, 10001}}
{
   1xx011xx01 \ {
   1xx0110001, 1xx0111x01, 1xx011xx01, 100011xx01}}

{xxxx1 \ {0x111, 111x1, x0001}, 0x110 \ {01110, 00110}, xx001 \ {10001, x0001, 11001}}
{}
{}

{xx101 \ {x1101}, 1x0xx \ {10001, 1000x, 11000}}
{111xx \ {11101, 1110x, 11100}}
{
   11101xx101 \ {
   11101x1101, 11101xx101, 11101xx101}, 111xx1x0xx \ {
   111x11x0x0, 111x01x0x1, 1111x1x00x, 1110x1x01x, 111xx10001, 111xx1000x, 111xx11000, 111011x0xx, 1110x1x0xx, 111001x0xx}}

{x0x00 \ {10x00, x0100, 00000}, 1x0x1 \ {1x001, 11011, 100x1}, x0xxx \ {x00xx, 10x1x, 00xx0}}
{}
{}

{xxx00 \ {x1100, 0x100, xx100}, x10xx \ {010xx, 110x1, 110xx}}
{0xxxx \ {00x0x, 01x01}, 10xx1 \ {10111, 10x11, 10x01}, 01x0x \ {01100, 0100x, 01101}}
{
   0xx00xxx00 \ {
   0xx00x1100, 0xx000x100, 0xx00xx100, 00x00xxx00}, 01x00xxx00 \ {
   01x00x1100, 01x000x100, 01x00xx100, 01100xxx00, 01000xxx00}, 0xxxxx10xx \ {
   0xxx1x10x0, 0xxx0x10x1, 0xx1xx100x, 0xx0xx101x, 0xxxx010xx, 0xxxx110x1, 0xxxx110xx, 00x0xx10xx, 01x01x10xx}, 10xx1x10x1 \ {
   10x11x1001, 10x01x1011, 10xx1010x1, 10xx1110x1, 10xx1110x1, 10111x10x1, 10x11x10x1, 10x01x10x1}, 01x0xx100x \ {
   01x01x1000, 01x00x1001, 01x0x0100x, 01x0x11001, 01x0x1100x, 01100x100x, 0100xx100x, 01101x100x}}

{1x0x0 \ {100x0, 11010, 10010}}
{xx11x \ {x1111, x111x, xx111}, 100xx \ {1000x, 10001, 10010}}
{
   xx1101x010 \ {
   xx11010010, xx11011010, xx11010010, x11101x010}, 100x01x0x0 \ {
   100101x000, 100001x010, 100x0100x0, 100x011010, 100x010010, 100001x0x0, 100101x0x0}}

{x10x0 \ {x1000, 11010, 11000}, 10xx0 \ {100x0, 10x10, 10110}, 101x0 \ {10100, 10110, 10110}}
{x0x00 \ {00x00, x0000, 10100}}
{
   x0x00x1000 \ {
   x0x00x1000, x0x0011000, 00x00x1000, x0000x1000, 10100x1000}, x0x0010x00 \ {
   x0x0010000, 00x0010x00, x000010x00, 1010010x00}, x0x0010100 \ {
   x0x0010100, 00x0010100, x000010100, 1010010100}}

{0101x \ {01010, 01011, 01011}, xxxx1 \ {01001, 00011, x1011}}
{0x00x \ {00001, 00000, 00000}}
{
   0x001xxx01 \ {
   0x00101001, 00001xxx01}}

{x1011 \ {11011, 01011}, x001x \ {00010, 10011, 0001x}}
{0x001 \ {00001}}
{}

{x0xx1 \ {10x11, 10111, x00x1}, 11x0x \ {11x00, 1110x, 11101}, xx100 \ {01100, x0100, x0100}}
{}
{}

{0x1x0 \ {00100, 0x100, 0x100}}
{x0x10 \ {10x10, 00x10, 00x10}, 0000x \ {00001, 00000}, 1xx0x \ {10x00, 1110x, 1100x}}
{
   x0x100x110 \ {
   10x100x110, 00x100x110, 00x100x110}, 000000x100 \ {
   0000000100, 000000x100, 000000x100, 000000x100}, 1xx000x100 \ {
   1xx0000100, 1xx000x100, 1xx000x100, 10x000x100, 111000x100, 110000x100}}

{x1xxx \ {01xx1, 11x01, x101x}, x01xx \ {x0100, 101xx, 0011x}}
{0x001 \ {01001, 00001}, 011xx \ {011x1, 01100}}
{
   0x001x1x01 \ {
   0x00101x01, 0x00111x01, 01001x1x01, 00001x1x01}, 011xxx1xxx \ {
   011x1x1xx0, 011x0x1xx1, 0111xx1x0x, 0110xx1x1x, 011xx01xx1, 011xx11x01, 011xxx101x, 011x1x1xxx, 01100x1xxx}, 0x001x0101 \ {
   0x00110101, 01001x0101, 00001x0101}, 011xxx01xx \ {
   011x1x01x0, 011x0x01x1, 0111xx010x, 0110xx011x, 011xxx0100, 011xx101xx, 011xx0011x, 011x1x01xx, 01100x01xx}}

{1xxxx \ {1011x, 110x0, 1010x}, xx101 \ {00101, x0101, 11101}}
{1111x \ {11111, 11110}, xx000 \ {x0000, 11000, 01000}}
{
   1111x1xx1x \ {
   111111xx10, 111101xx11, 1111x1011x, 1111x11010, 111111xx1x, 111101xx1x}, xx0001xx00 \ {
   xx00011000, xx00010100, x00001xx00, 110001xx00, 010001xx00}}

{x1x00 \ {x1100, 11100, 01100}, xx0x0 \ {1x000, xx000, x0010}}
{xx01x \ {00011, 00010, x0010}}
{
   xx010xx010 \ {
   xx010x0010, 00010xx010, x0010xx010}}

{11xxx \ {1100x, 11x0x, 11x01}}
{}
{}

{xx111 \ {10111, 11111, 01111}, 1xxx0 \ {10x00, 100x0, 11000}}
{x10x0 \ {x1010, 11010, 01000}, 10xx1 \ {100x1, 10001}}
{
   10x11xx111 \ {
   10x1110111, 10x1111111, 10x1101111, 10011xx111}, x10x01xxx0 \ {
   x10101xx00, x10001xx10, x10x010x00, x10x0100x0, x10x011000, x10101xxx0, 110101xxx0, 010001xxx0}}

{x11x0 \ {01110, 11110, 11100}, x1xx1 \ {01001, x1x11, x1001}}
{10x1x \ {1011x, 10x10, 10110}, x11xx \ {x110x, 111xx, 011xx}}
{
   10x10x1110 \ {
   10x1001110, 10x1011110, 10110x1110, 10x10x1110, 10110x1110}, x11x0x11x0 \ {
   x1110x1100, x1100x1110, x11x001110, x11x011110, x11x011100, x1100x11x0, 111x0x11x0, 011x0x11x0}, 10x11x1x11 \ {
   10x11x1x11, 10111x1x11}, x11x1x1xx1 \ {
   x1111x1x01, x1101x1x11, x11x101001, x11x1x1x11, x11x1x1001, x1101x1xx1, 111x1x1xx1, 011x1x1xx1}}

{xx110 \ {00110, x0110, 1x110}, 1x01x \ {1x010, 10011}}
{00x0x \ {0000x, 00001, 00x01}}
{}

{xx1x1 \ {x1111, 10111, x0101}, 100x0 \ {10000, 10010}}
{x1x1x \ {01x10, x1010, x111x}, 1x00x \ {1000x, 1x001, 10001}, 0x00x \ {0x001, 0100x, 00001}}
{
   x1x11xx111 \ {
   x1x11x1111, x1x1110111, x1111xx111}, 1x001xx101 \ {
   1x001x0101, 10001xx101, 1x001xx101, 10001xx101}, 0x001xx101 \ {
   0x001x0101, 0x001xx101, 01001xx101, 00001xx101}, x1x1010010 \ {
   x1x1010010, 01x1010010, x101010010, x111010010}, 1x00010000 \ {
   1x00010000, 1000010000}, 0x00010000 \ {
   0x00010000, 0100010000}}

{x10x1 \ {01001, x1011, 11011}, 01x11 \ {01011, 01111}}
{xx100 \ {x1100, 11100}, xx00x \ {0100x, 00000, 1x000}}
{
   xx001x1001 \ {
   xx00101001, 01001x1001}}

{x0x11 \ {x0111, 10111, 00x11}}
{xx1xx \ {011x0, 001x0, 1111x}, xxxx1 \ {0x111, 110x1, x10x1}}
{
   xx111x0x11 \ {
   xx111x0111, xx11110111, xx11100x11, 11111x0x11}, xxx11x0x11 \ {
   xxx11x0111, xxx1110111, xxx1100x11, 0x111x0x11, 11011x0x11, x1011x0x11}}

{xxxx0 \ {01100, xx010, 1x010}}
{}
{}

{}
{1x1x0 \ {11110, 111x0, 111x0}, 01xxx \ {01x1x, 01xx1, 011x0}}
{}

{110x0 \ {11000}, x0100 \ {00100}}
{}
{}

{x1x0x \ {01101, 11101, x1101}}
{xxxxx \ {1xx11, 011x1, 01xx0}, 01x01 \ {01001}, x011x \ {10111, x0110, 00111}}
{
   xxx0xx1x0x \ {
   xxx01x1x00, xxx00x1x01, xxx0x01101, xxx0x11101, xxx0xx1101, 01101x1x0x, 01x00x1x0x}, 01x01x1x01 \ {
   01x0101101, 01x0111101, 01x01x1101, 01001x1x01}}

{xx0xx \ {x1010, xx00x, 1x011}}
{01x0x \ {01000, 01001, 01x00}}
{
   01x0xxx00x \ {
   01x01xx000, 01x00xx001, 01x0xxx00x, 01000xx00x, 01001xx00x, 01x00xx00x}}

{1x0xx \ {1101x, 1x010, 11011}}
{010xx \ {0101x, 01000, 010x0}, 101x1 \ {10111, 10101}}
{
   010xx1x0xx \ {
   010x11x0x0, 010x01x0x1, 0101x1x00x, 0100x1x01x, 010xx1101x, 010xx1x010, 010xx11011, 0101x1x0xx, 010001x0xx, 010x01x0xx}, 101x11x0x1 \ {
   101111x001, 101011x011, 101x111011, 101x111011, 101111x0x1, 101011x0x1}}

{10x01 \ {10101, 10001}, xx011 \ {01011, 10011}, xx0x1 \ {1x0x1, xx001, x1001}}
{0xx00 \ {01100, 01x00, 0x000}, 0x10x \ {00101, 0010x, 01100}}
{
   0x10110x01 \ {
   0x10110101, 0x10110001, 0010110x01, 0010110x01}, 0x101xx001 \ {
   0x1011x001, 0x101xx001, 0x101x1001, 00101xx001, 00101xx001}}

{0xx11 \ {00011, 0x011, 0x011}, 11x1x \ {11010, 1111x, 11110}, x0x1x \ {10111, x0011, x001x}}
{0xx11 \ {01x11, 00011, 00111}, 1x00x \ {1x000, 1x001, 10001}}
{
   0xx110xx11 \ {
   0xx1100011, 0xx110x011, 0xx110x011, 01x110xx11, 000110xx11, 001110xx11}, 0xx1111x11 \ {
   0xx1111111, 01x1111x11, 0001111x11, 0011111x11}, 0xx11x0x11 \ {
   0xx1110111, 0xx11x0011, 0xx11x0011, 01x11x0x11, 00011x0x11, 00111x0x11}}

{x001x \ {0001x, x0010, 10010}, 1xxxx \ {1x11x, 11111, 110xx}}
{x1x11 \ {x1111, 11011, 11x11}, xxxx1 \ {001x1, x0001, x1x01}}
{
   x1x11x0011 \ {
   x1x1100011, x1111x0011, 11011x0011, 11x11x0011}, xxx11x0011 \ {
   xxx1100011, 00111x0011}, x1x111xx11 \ {
   x1x111x111, x1x1111111, x1x1111011, x11111xx11, 110111xx11, 11x111xx11}, xxxx11xxx1 \ {
   xxx111xx01, xxx011xx11, xxxx11x111, xxxx111111, xxxx1110x1, 001x11xxx1, x00011xxx1, x1x011xxx1}}

{xx1xx \ {111xx, 10111, 0111x}, xxxx1 \ {01001, 10x01, 00x01}}
{}
{}

{0x01x \ {00011, 0001x, 0101x}, x011x \ {0011x, 10111}, x11x0 \ {011x0, 11110, 11100}}
{110x0 \ {11010, 11000}, 10xx1 \ {101x1, 10011}}
{
   110100x010 \ {
   1101000010, 1101001010, 110100x010}, 10x110x011 \ {
   10x1100011, 10x1100011, 10x1101011, 101110x011, 100110x011}, 11010x0110 \ {
   1101000110, 11010x0110}, 10x11x0111 \ {
   10x1100111, 10x1110111, 10111x0111, 10011x0111}, 110x0x11x0 \ {
   11010x1100, 11000x1110, 110x0011x0, 110x011110, 110x011100, 11010x11x0, 11000x11x0}}

{11x10 \ {11110, 11010}, x1x1x \ {11111, 01x1x, 01111}}
{000xx \ {00010, 0001x, 000x0}}
{
   0001011x10 \ {
   0001011110, 0001011010, 0001011x10, 0001011x10, 0001011x10}, 0001xx1x1x \ {
   00011x1x10, 00010x1x11, 0001x11111, 0001x01x1x, 0001x01111, 00010x1x1x, 0001xx1x1x, 00010x1x1x}}

{}
{x1x1x \ {01011, 1101x, 01111}, xx10x \ {11100, 1110x, x0101}}
{}

{x1010 \ {11010}, x110x \ {11100, x1100, 11101}}
{x001x \ {10011, 0001x, 00010}, x10x1 \ {11001, 110x1, 11011}}
{
   x0010x1010 \ {
   x001011010, 00010x1010, 00010x1010}, x1001x1101 \ {
   x100111101, 11001x1101, 11001x1101}}

{xxx0x \ {1100x, 0x10x, 0xx01}}
{111x0 \ {11100, 11110}}
{
   11100xxx00 \ {
   1110011000, 111000x100, 11100xxx00}}

{011xx \ {0111x, 0110x, 01110}, xxx10 \ {1x110, x1010, 01110}, 0x0x0 \ {00010, 01010}}
{x1100 \ {01100}, x1xxx \ {01100, 11x1x, x1xx1}}
{
   x110001100 \ {
   x110001100, 0110001100}, x1xxx011xx \ {
   x1xx1011x0, x1xx0011x1, x1x1x0110x, x1x0x0111x, x1xxx0111x, x1xxx0110x, x1xxx01110, 01100011xx, 11x1x011xx, x1xx1011xx}, x1x10xxx10 \ {
   x1x101x110, x1x10x1010, x1x1001110, 11x10xxx10}, x11000x000 \ {
   011000x000}, x1xx00x0x0 \ {
   x1x100x000, x1x000x010, x1xx000010, x1xx001010, 011000x0x0, 11x100x0x0}}

{01xxx \ {0110x, 01x0x, 01111}}
{0x1x0 \ {01100, 0x100, 001x0}, 0x0x0 \ {00000, 000x0}, 1xx11 \ {10x11, 1x111, 10011}}
{
   0x1x001xx0 \ {
   0x11001x00, 0x10001x10, 0x1x001100, 0x1x001x00, 0110001xx0, 0x10001xx0, 001x001xx0}, 0x0x001xx0 \ {
   0x01001x00, 0x00001x10, 0x0x001100, 0x0x001x00, 0000001xx0, 000x001xx0}, 1xx1101x11 \ {
   1xx1101111, 10x1101x11, 1x11101x11, 1001101x11}}

{x101x \ {01011, 1101x, 0101x}, x0xx1 \ {00101, 000x1, 10x01}}
{1xx0x \ {10100, 1x100, 1000x}}
{
   1xx01x0x01 \ {
   1xx0100101, 1xx0100001, 1xx0110x01, 10001x0x01}}

{x111x \ {0111x, 11110, 01111}, x0xx1 \ {x00x1, x0x01, 10001}, x0100 \ {00100, 10100}}
{x01xx \ {x011x, x0110, 10100}, 0001x \ {00010, 00011}}
{
   x011xx111x \ {
   x0111x1110, x0110x1111, x011x0111x, x011x11110, x011x01111, x011xx111x, x0110x111x}, 0001xx111x \ {
   00011x1110, 00010x1111, 0001x0111x, 0001x11110, 0001x01111, 00010x111x, 00011x111x}, x01x1x0xx1 \ {
   x0111x0x01, x0101x0x11, x01x1x00x1, x01x1x0x01, x01x110001, x0111x0xx1}, 00011x0x11 \ {
   00011x0011, 00011x0x11}, x0100x0100 \ {
   x010000100, x010010100, 10100x0100}}

{x0xx0 \ {100x0, 00x10, 00x10}}
{xxxx1 \ {x0xx1, x1001, 011x1}, x1100 \ {11100, 01100}, x0000 \ {00000}}
{
   x1100x0x00 \ {
   x110010000, 11100x0x00, 01100x0x00}, x0000x0x00 \ {
   x000010000, 00000x0x00}}

{1xx0x \ {10101, 11101, 1x10x}, x11xx \ {11111, 0110x, 111x0}, 0x10x \ {0x101, 00100, 00100}}
{000xx \ {0000x, 00001, 00011}, x00x1 \ {00011, 000x1, x0001}}
{
   0000x1xx0x \ {
   000011xx00, 000001xx01, 0000x10101, 0000x11101, 0000x1x10x, 0000x1xx0x, 000011xx0x}, x00011xx01 \ {
   x000110101, x000111101, x00011x101, 000011xx01, x00011xx01}, 000xxx11xx \ {
   000x1x11x0, 000x0x11x1, 0001xx110x, 0000xx111x, 000xx11111, 000xx0110x, 000xx111x0, 0000xx11xx, 00001x11xx, 00011x11xx}, x00x1x11x1 \ {
   x0011x1101, x0001x1111, x00x111111, x00x101101, 00011x11x1, 000x1x11x1, x0001x11x1}, 0000x0x10x \ {
   000010x100, 000000x101, 0000x0x101, 0000x00100, 0000x00100, 0000x0x10x, 000010x10x}, x00010x101 \ {
   x00010x101, 000010x101, x00010x101}}

{1x1xx \ {1010x, 1x110, 10100}, x11x1 \ {01101, x1101, 011x1}}
{00xx1 \ {00101, 00001, 00x11}}
{
   00xx11x1x1 \ {
   00x111x101, 00x011x111, 00xx110101, 001011x1x1, 000011x1x1, 00x111x1x1}, 00xx1x11x1 \ {
   00x11x1101, 00x01x1111, 00xx101101, 00xx1x1101, 00xx1011x1, 00101x11x1, 00001x11x1, 00x11x11x1}}

{0xx0x \ {00101, 0x101, 0xx00}}
{xxx1x \ {x1111, 00011}}
{}

{xx0x0 \ {10000, 1x010, 1x0x0}}
{x0x00 \ {10x00, x0000, 10000}}
{
   x0x00xx000 \ {
   x0x0010000, x0x001x000, 10x00xx000, x0000xx000, 10000xx000}}

{01x0x \ {0110x, 01000, 01101}}
{x011x \ {00110, 10111, 1011x}, xx1x1 \ {001x1, xx111, x01x1}}
{
   xx10101x01 \ {
   xx10101101, xx10101101, 0010101x01, x010101x01}}

{}
{x0xx1 \ {10101, 00011, 00xx1}, 0xx1x \ {0001x, 0xx10, 0x110}}
{}

{01xx1 \ {01001, 01111, 01011}}
{x00x1 \ {x0011, 00001, 000x1}, 0x1x1 \ {0x101, 01101}}
{
   x00x101xx1 \ {
   x001101x01, x000101x11, x00x101001, x00x101111, x00x101011, x001101xx1, 0000101xx1, 000x101xx1}, 0x1x101xx1 \ {
   0x11101x01, 0x10101x11, 0x1x101001, 0x1x101111, 0x1x101011, 0x10101xx1, 0110101xx1}}

{x0xx1 \ {10001, 10101, 101x1}, 000xx \ {00001, 00000}}
{x1x1x \ {11111, 01x1x, 01x1x}, x00xx \ {1001x, x0010, x0010}, 1xx01 \ {1x001, 10101}}
{
   x1x11x0x11 \ {
   x1x1110111, 11111x0x11, 01x11x0x11, 01x11x0x11}, x00x1x0xx1 \ {
   x0011x0x01, x0001x0x11, x00x110001, x00x110101, x00x1101x1, 10011x0xx1}, 1xx01x0x01 \ {
   1xx0110001, 1xx0110101, 1xx0110101, 1x001x0x01, 10101x0x01}, x1x1x0001x \ {
   x1x1100010, x1x1000011, 111110001x, 01x1x0001x, 01x1x0001x}, x00xx000xx \ {
   x00x1000x0, x00x0000x1, x001x0000x, x000x0001x, x00xx00001, x00xx00000, 1001x000xx, x0010000xx, x0010000xx}, 1xx0100001 \ {
   1xx0100001, 1x00100001, 1010100001}}

{1xxx1 \ {1x1x1, 11011}, x1xx0 \ {01x10, 11100, 111x0}}
{0x101 \ {00101}}
{
   0x1011xx01 \ {
   0x1011x101, 001011xx01}}

{1010x \ {10101, 10100, 10100}, x0x01 \ {10101, 00x01}}
{xxxxx \ {001x0, 11100, 1xx10}, xx0x1 \ {1x001, 01011, 00011}}
{
   xxx0x1010x \ {
   xxx0110100, xxx0010101, xxx0x10101, xxx0x10100, xxx0x10100, 001001010x, 111001010x}, xx00110101 \ {
   xx00110101, 1x00110101}, xxx01x0x01 \ {
   xxx0110101, xxx0100x01}, xx001x0x01 \ {
   xx00110101, xx00100x01, 1x001x0x01}}

{1xx00 \ {10100, 1x000, 11100}, 11xxx \ {11x11, 111x0, 11100}}
{xx011 \ {00011, 01011, x0011}, xx1x1 \ {x11x1, 10111, 11101}}
{
   xx01111x11 \ {
   xx01111x11, 0001111x11, 0101111x11, x001111x11}, xx1x111xx1 \ {
   xx11111x01, xx10111x11, xx1x111x11, x11x111xx1, 1011111xx1, 1110111xx1}}

{}
{0x100 \ {01100}, 10xx0 \ {101x0, 10x10}, 00xx1 \ {00111, 00x11, 00001}}
{}

{x00xx \ {100x0, x0000, x001x}, 11x00 \ {11000}}
{x10x0 \ {01010, 010x0, x1010}}
{
   x10x0x00x0 \ {
   x1010x0000, x1000x0010, x10x0100x0, x10x0x0000, x10x0x0010, 01010x00x0, 010x0x00x0, x1010x00x0}, x100011x00 \ {
   x100011000, 0100011x00}}

{x11x0 \ {11110, 011x0}}
{}
{}

{0xx11 \ {0x111, 00011, 00x11}, x1000 \ {01000, 11000}}
{001x1 \ {00111, 00101}, xx111 \ {0x111, x1111}}
{
   001110xx11 \ {
   001110x111, 0011100011, 0011100x11, 001110xx11}, xx1110xx11 \ {
   xx1110x111, xx11100011, xx11100x11, 0x1110xx11, x11110xx11}}

{0x1xx \ {0x110, 01101}, x1x1x \ {11x1x, 01x11, 11011}}
{x01x0 \ {10110, 00100, 101x0}, xx1x0 \ {1x1x0, 111x0, 1x110}}
{
   x01x00x1x0 \ {
   x01100x100, x01000x110, x01x00x110, 101100x1x0, 001000x1x0, 101x00x1x0}, xx1x00x1x0 \ {
   xx1100x100, xx1000x110, xx1x00x110, 1x1x00x1x0, 111x00x1x0, 1x1100x1x0}, x0110x1x10 \ {
   x011011x10, 10110x1x10, 10110x1x10}, xx110x1x10 \ {
   xx11011x10, 1x110x1x10, 11110x1x10, 1x110x1x10}}

{xxx10 \ {11x10, 00110, xx010}, 10x00 \ {10000}}
{xx111 \ {x0111, 01111, 00111}}
{}

{x11x0 \ {011x0, 11100, x1110}, x01xx \ {001x0, 10100, x0100}, 000xx \ {000x1, 0000x, 00000}}
{x100x \ {0100x, 01001}, 11x1x \ {11111, 11011, 11010}}
{
   x1000x1100 \ {
   x100001100, x100011100, 01000x1100}, 11x10x1110 \ {
   11x1001110, 11x10x1110, 11010x1110}, x100xx010x \ {
   x1001x0100, x1000x0101, x100x00100, x100x10100, x100xx0100, 0100xx010x, 01001x010x}, 11x1xx011x \ {
   11x11x0110, 11x10x0111, 11x1x00110, 11111x011x, 11011x011x, 11010x011x}, x100x0000x \ {
   x100100000, x100000001, x100x00001, x100x0000x, x100x00000, 0100x0000x, 010010000x}, 11x1x0001x \ {
   11x1100010, 11x1000011, 11x1x00011, 111110001x, 110110001x, 110100001x}}

{x0xx0 \ {000x0, 00x10, x0x10}, 1xx01 \ {1x001, 11x01, 1x101}}
{}
{}

{xx01x \ {00010, 1001x, xx011}}
{}
{}

{xx000 \ {x1000, 1x000, 00000}, x1xxx \ {0100x, 11x11, 11101}, 0x1xx \ {001x0, 0x110, 0x1x0}}
{xxx01 \ {10101, 00x01}}
{
   xxx01x1x01 \ {
   xxx0101001, xxx0111101, 10101x1x01, 00x01x1x01}, xxx010x101 \ {
   101010x101, 00x010x101}}

{x1xx1 \ {x1x11, x1101, 01x01}, 0x0xx \ {010x0, 0x01x, 00000}}
{0xxx0 \ {0x0x0, 011x0, 0xx00}}
{
   0xxx00x0x0 \ {
   0xx100x000, 0xx000x010, 0xxx0010x0, 0xxx00x010, 0xxx000000, 0x0x00x0x0, 011x00x0x0, 0xx000x0x0}}

{11x01 \ {11101, 11001}}
{0x0x0 \ {00000, 0x000, 000x0}}
{}

{1x10x \ {1x101, 1110x, 1110x}}
{0x1x0 \ {00100, 0x100, 0x110}}
{
   0x1001x100 \ {
   0x10011100, 0x10011100, 001001x100, 0x1001x100}}

{00x0x \ {00100, 00x00}}
{1100x \ {11001, 11000, 11000}}
{
   1100x00x0x \ {
   1100100x00, 1100000x01, 1100x00100, 1100x00x00, 1100100x0x, 1100000x0x, 1100000x0x}}

{000x0 \ {00000, 00010, 00010}}
{xx10x \ {xx101, 10101, 1x101}}
{
   xx10000000 \ {
   xx10000000}}

{0x0x0 \ {000x0, 0x000, 00010}}
{x1x10 \ {11x10, 11110, 11110}, 01xxx \ {0101x, 010x0, 01101}}
{
   x1x100x010 \ {
   x1x1000010, x1x1000010, 11x100x010, 111100x010, 111100x010}, 01xx00x0x0 \ {
   01x100x000, 01x000x010, 01xx0000x0, 01xx00x000, 01xx000010, 010100x0x0, 010x00x0x0}}

{00xx0 \ {00010, 000x0, 00100}, xx000 \ {00000}}
{00xx0 \ {001x0, 00x10, 00x10}, 0xx1x \ {01x11, 0111x, 01011}}
{
   00xx000xx0 \ {
   00x1000x00, 00x0000x10, 00xx000010, 00xx0000x0, 00xx000100, 001x000xx0, 00x1000xx0, 00x1000xx0}, 0xx1000x10 \ {
   0xx1000010, 0xx1000010, 0111000x10}, 00x00xx000 \ {
   00x0000000, 00100xx000}}

{1111x \ {11111, 11110, 11110}, 0x1x1 \ {011x1, 001x1, 01111}, 110x1 \ {11001, 11011}}
{001xx \ {001x1, 00111, 001x0}}
{
   0011x1111x \ {
   0011111110, 0011011111, 0011x11111, 0011x11110, 0011x11110, 001111111x, 001111111x, 001101111x}, 001x10x1x1 \ {
   001110x101, 001010x111, 001x1011x1, 001x1001x1, 001x101111, 001x10x1x1, 001110x1x1}, 001x1110x1 \ {
   0011111001, 0010111011, 001x111001, 001x111011, 001x1110x1, 00111110x1}}

{x1001 \ {11001, 01001}, 010x1 \ {01001}}
{xx1xx \ {01110, 01101, xx1x1}}
{
   xx101x1001 \ {
   xx10111001, xx10101001, 01101x1001, xx101x1001}, xx1x1010x1 \ {
   xx11101001, xx10101011, xx1x101001, 01101010x1, xx1x1010x1}}

{1x11x \ {11111, 11110, 1111x}, 11x11 \ {11011, 11111}}
{01xx1 \ {01011, 010x1}, 1xx0x \ {1xx00, 10100, 1x10x}}
{
   01x111x111 \ {
   01x1111111, 01x1111111, 010111x111, 010111x111}, 01x1111x11 \ {
   01x1111011, 01x1111111, 0101111x11, 0101111x11}}

{}
{x00xx \ {x0000, 1001x, 1001x}}
{}

{xx111 \ {10111, 00111}, xxx0x \ {0x00x, x0x00, 11x0x}, 11x11 \ {11011}}
{00x0x \ {00100, 00x01, 00000}, x10x0 \ {x1010, 11000, 11010}, 010x0 \ {01000, 01010}}
{
   00x0xxxx0x \ {
   00x01xxx00, 00x00xxx01, 00x0x0x00x, 00x0xx0x00, 00x0x11x0x, 00100xxx0x, 00x01xxx0x, 00000xxx0x}, x1000xxx00 \ {
   x10000x000, x1000x0x00, x100011x00, 11000xxx00}, 01000xxx00 \ {
   010000x000, 01000x0x00, 0100011x00, 01000xxx00}}

{xx01x \ {0001x, 1x010, xx010}}
{1xxx1 \ {10x01, 11001, 110x1}, 1xx1x \ {10011, 10010, 1x011}}
{
   1xx11xx011 \ {
   1xx1100011, 11011xx011}, 1xx1xxx01x \ {
   1xx11xx010, 1xx10xx011, 1xx1x0001x, 1xx1x1x010, 1xx1xxx010, 10011xx01x, 10010xx01x, 1x011xx01x}}

{10x10 \ {10110, 10010}, 00x1x \ {00010, 00011, 00110}, 10x11 \ {10011, 10111, 10111}}
{}
{}

{x1x10 \ {11110, 01x10, x1110}, xx0xx \ {010x0, 0001x, x001x}}
{x111x \ {01111, x1111, 1111x}, x1x10 \ {01010, 11010}, x0101 \ {00101}}
{
   x1110x1x10 \ {
   x111011110, x111001x10, x1110x1110, 11110x1x10}, x1x10x1x10 \ {
   x1x1011110, x1x1001x10, x1x10x1110, 01010x1x10, 11010x1x10}, x111xxx01x \ {
   x1111xx010, x1110xx011, x111x01010, x111x0001x, x111xx001x, 01111xx01x, x1111xx01x, 1111xxx01x}, x1x10xx010 \ {
   x1x1001010, x1x1000010, x1x10x0010, 01010xx010, 11010xx010}, x0101xx001 \ {
   00101xx001}}

{1xx11 \ {1x111, 10011}, 000x0 \ {00000}}
{xx1xx \ {0x10x, xx11x, 0111x}, 1x0x0 \ {11010, 110x0, 100x0}}
{
   xx1111xx11 \ {
   xx1111x111, xx11110011, xx1111xx11, 011111xx11}, xx1x0000x0 \ {
   xx11000000, xx10000010, xx1x000000, 0x100000x0, xx110000x0, 01110000x0}, 1x0x0000x0 \ {
   1x01000000, 1x00000010, 1x0x000000, 11010000x0, 110x0000x0, 100x0000x0}}

{10xx1 \ {10001, 100x1, 10111}, x11xx \ {x11x1, 01100, 11100}}
{1xx11 \ {1x011, 10x11, 11x11}, x11x1 \ {11111, 111x1, x1111}, xxx01 \ {xx001, 0x001, 0x001}}
{
   1xx1110x11 \ {
   1xx1110011, 1xx1110111, 1x01110x11, 10x1110x11, 11x1110x11}, x11x110xx1 \ {
   x111110x01, x110110x11, x11x110001, x11x1100x1, x11x110111, 1111110xx1, 111x110xx1, x111110xx1}, xxx0110x01 \ {
   xxx0110001, xxx0110001, xx00110x01, 0x00110x01, 0x00110x01}, 1xx11x1111 \ {
   1xx11x1111, 1x011x1111, 10x11x1111, 11x11x1111}, x11x1x11x1 \ {
   x1111x1101, x1101x1111, x11x1x11x1, 11111x11x1, 111x1x11x1, x1111x11x1}, xxx01x1101 \ {
   xxx01x1101, xx001x1101, 0x001x1101, 0x001x1101}}

{0xxx1 \ {000x1, 0xx01, 01x11}, 0x00x \ {01000, 0100x}, x111x \ {01111, x1110, 0111x}}
{}
{}

{x1x01 \ {11x01, 01001, 01x01}, 0x0x0 \ {000x0, 0x010, 01000}}
{00xxx \ {00100, 0010x, 000x0}, 011xx \ {0110x, 01110, 01100}, x10xx \ {01010, 11011, 110xx}}
{
   00x01x1x01 \ {
   00x0111x01, 00x0101001, 00x0101x01, 00101x1x01}, 01101x1x01 \ {
   0110111x01, 0110101001, 0110101x01, 01101x1x01}, x1001x1x01 \ {
   x100111x01, x100101001, x100101x01, 11001x1x01}, 00xx00x0x0 \ {
   00x100x000, 00x000x010, 00xx0000x0, 00xx00x010, 00xx001000, 001000x0x0, 001000x0x0, 000x00x0x0}, 011x00x0x0 \ {
   011100x000, 011000x010, 011x0000x0, 011x00x010, 011x001000, 011000x0x0, 011100x0x0, 011000x0x0}, x10x00x0x0 \ {
   x10100x000, x10000x010, x10x0000x0, x10x00x010, x10x001000, 010100x0x0, 110x00x0x0}}

{010xx \ {01010, 01000, 01011}}
{xx011 \ {x0011, 01011, 10011}, 0xx11 \ {0x111, 01011, 00111}, 11xxx \ {11x1x, 1101x, 11101}}
{
   xx01101011 \ {
   xx01101011, x001101011, 0101101011, 1001101011}, 0xx1101011 \ {
   0xx1101011, 0x11101011, 0101101011, 0011101011}, 11xxx010xx \ {
   11xx1010x0, 11xx0010x1, 11x1x0100x, 11x0x0101x, 11xxx01010, 11xxx01000, 11xxx01011, 11x1x010xx, 1101x010xx, 11101010xx}}

{010x0 \ {01000, 01010}, x10xx \ {01011, 010xx, 1100x}, xx11x \ {xx110, 1x11x, 0x110}}
{1x10x \ {11101, 1010x}}
{
   1x10001000 \ {
   1x10001000, 1010001000}, 1x10xx100x \ {
   1x101x1000, 1x100x1001, 1x10x0100x, 1x10x1100x, 11101x100x, 1010xx100x}}

{11xx1 \ {110x1, 111x1, 11101}, 0xxxx \ {01x0x, 001xx, 0101x}}
{10xx1 \ {10x11, 101x1, 10111}}
{
   10xx111xx1 \ {
   10x1111x01, 10x0111x11, 10xx1110x1, 10xx1111x1, 10xx111101, 10x1111xx1, 101x111xx1, 1011111xx1}, 10xx10xxx1 \ {
   10x110xx01, 10x010xx11, 10xx101x01, 10xx1001x1, 10xx101011, 10x110xxx1, 101x10xxx1, 101110xxx1}}

{1xxxx \ {10x11, 1x011, 1011x}, 1x1x0 \ {11110, 11100}}
{0x1xx \ {0x100, 01100, 0111x}}
{
   0x1xx1xxxx \ {
   0x1x11xxx0, 0x1x01xxx1, 0x11x1xx0x, 0x10x1xx1x, 0x1xx10x11, 0x1xx1x011, 0x1xx1011x, 0x1001xxxx, 011001xxxx, 0111x1xxxx}, 0x1x01x1x0 \ {
   0x1101x100, 0x1001x110, 0x1x011110, 0x1x011100, 0x1001x1x0, 011001x1x0, 011101x1x0}}

{1x11x \ {1x111, 1x110, 1x110}}
{}
{}

{xx0x1 \ {1x011, 01001, xx001}, 01x10 \ {01010}}
{1111x \ {11111, 11110}}
{
   11111xx011 \ {
   111111x011, 11111xx011}, 1111001x10 \ {
   1111001010, 1111001x10}}

{x110x \ {1110x, 0110x}, x1xxx \ {x10x0, 01x1x, 11011}, 0x010 \ {01010, 00010}}
{x10x1 \ {11001, x1011, x1011}}
{
   x1001x1101 \ {
   x100111101, x100101101, 11001x1101}, x10x1x1xx1 \ {
   x1011x1x01, x1001x1x11, x10x101x11, x10x111011, 11001x1xx1, x1011x1xx1, x1011x1xx1}}

{x01xx \ {x0100, x0101, 00101}}
{11x1x \ {1111x, 11x10}}
{
   11x1xx011x \ {
   11x11x0110, 11x10x0111, 1111xx011x, 11x10x011x}}

{x1xx1 \ {011x1, x1x11, 01101}}
{0x110 \ {00110, 01110}, xx100 \ {01100, 10100}, 10xx1 \ {10001, 10011, 10111}}
{
   10xx1x1xx1 \ {
   10x11x1x01, 10x01x1x11, 10xx1011x1, 10xx1x1x11, 10xx101101, 10001x1xx1, 10011x1xx1, 10111x1xx1}}

{}
{001xx \ {00110, 0010x, 00101}}
{}

{1x00x \ {1x000, 11001, 10001}, 1x111 \ {11111, 10111}}
{xxxx1 \ {0x111, 11x01, x1x01}, 101x1 \ {10111, 10101}, x00xx \ {000x0, x0001, 0001x}}
{
   xxx011x001 \ {
   xxx0111001, xxx0110001, 11x011x001, x1x011x001}, 101011x001 \ {
   1010111001, 1010110001, 101011x001}, x000x1x00x \ {
   x00011x000, x00001x001, x000x1x000, x000x11001, x000x10001, 000001x00x, x00011x00x}, xxx111x111 \ {
   xxx1111111, xxx1110111, 0x1111x111}, 101111x111 \ {
   1011111111, 1011110111, 101111x111}, x00111x111 \ {
   x001111111, x001110111, 000111x111}}

{}
{1x11x \ {1111x, 1x111, 1011x}, xx10x \ {0x10x, 11101, 11100}}
{}

{x0xx1 \ {x0x01, 100x1, 00x01}, x11xx \ {x1101, 0111x, 11100}}
{01x10 \ {01110, 01010}, 1xxxx \ {10100, 10x10, 10000}}
{
   1xxx1x0xx1 \ {
   1xx11x0x01, 1xx01x0x11, 1xxx1x0x01, 1xxx1100x1, 1xxx100x01}, 01x10x1110 \ {
   01x1001110, 01110x1110, 01010x1110}, 1xxxxx11xx \ {
   1xxx1x11x0, 1xxx0x11x1, 1xx1xx110x, 1xx0xx111x, 1xxxxx1101, 1xxxx0111x, 1xxxx11100, 10100x11xx, 10x10x11xx, 10000x11xx}}

{00xx0 \ {00100, 001x0, 000x0}}
{x10xx \ {110xx, 11011, x1011}, 000x0 \ {00000, 00010, 00010}}
{
   x10x000xx0 \ {
   x101000x00, x100000x10, x10x000100, x10x0001x0, x10x0000x0, 110x000xx0}, 000x000xx0 \ {
   0001000x00, 0000000x10, 000x000100, 000x0001x0, 000x0000x0, 0000000xx0, 0001000xx0, 0001000xx0}}

{0xxx1 \ {0xx11, 0x0x1, 0x1x1}}
{x101x \ {x1010, 1101x, 0101x}, x1xx1 \ {x11x1, 11001, 11x01}}
{
   x10110xx11 \ {
   x10110xx11, x10110x011, x10110x111, 110110xx11, 010110xx11}, x1xx10xxx1 \ {
   x1x110xx01, x1x010xx11, x1xx10xx11, x1xx10x0x1, x1xx10x1x1, x11x10xxx1, 110010xxx1, 11x010xxx1}}

{x0100 \ {00100, 10100, 10100}}
{}
{}

{0x10x \ {0x100, 00100, 00100}, xx010 \ {11010, 00010, x1010}, x0x10 \ {x0010, 00110, x0110}}
{xxx01 \ {01x01, 10101, 11101}, 0xx10 \ {0x110, 00010, 01110}}
{
   xxx010x101 \ {
   01x010x101, 101010x101, 111010x101}, 0xx10xx010 \ {
   0xx1011010, 0xx1000010, 0xx10x1010, 0x110xx010, 00010xx010, 01110xx010}, 0xx10x0x10 \ {
   0xx10x0010, 0xx1000110, 0xx10x0110, 0x110x0x10, 00010x0x10, 01110x0x10}}

{x0100 \ {00100, 10100}, x1001 \ {01001}}
{}
{}

{x10x0 \ {x1010, 11010, 01010}}
{00xx1 \ {00101, 001x1}}
{}

{00x1x \ {00x11, 00010, 00111}, x1xx1 \ {x1001, x1111, 01xx1}, 101xx \ {101x1, 101x0, 10100}}
{}
{}

{xxxxx \ {10110, xxx0x, x11x1}, x0x01 \ {10101, 10001, 00001}}
{0x0xx \ {01011, 00011, 010xx}, 01x0x \ {01001, 0100x, 01101}, xx0x1 \ {11011, 0x0x1, 1x011}}
{
   0x0xxxxxxx \ {
   0x0x1xxxx0, 0x0x0xxxx1, 0x01xxxx0x, 0x00xxxx1x, 0x0xx10110, 0x0xxxxx0x, 0x0xxx11x1, 01011xxxxx, 00011xxxxx, 010xxxxxxx}, 01x0xxxx0x \ {
   01x01xxx00, 01x00xxx01, 01x0xxxx0x, 01x0xx1101, 01001xxx0x, 0100xxxx0x, 01101xxx0x}, xx0x1xxxx1 \ {
   xx011xxx01, xx001xxx11, xx0x1xxx01, xx0x1x11x1, 11011xxxx1, 0x0x1xxxx1, 1x011xxxx1}, 0x001x0x01 \ {
   0x00110101, 0x00110001, 0x00100001, 01001x0x01}, 01x01x0x01 \ {
   01x0110101, 01x0110001, 01x0100001, 01001x0x01, 01001x0x01, 01101x0x01}, xx001x0x01 \ {
   xx00110101, xx00110001, xx00100001, 0x001x0x01}}

{xxxx0 \ {x0010, 0xxx0, 000x0}, xx1xx \ {00101, 0111x, 10101}}
{x0101 \ {00101, 10101}}
{
   x0101xx101 \ {
   x010100101, x010110101, 00101xx101, 10101xx101}}

{10xx1 \ {100x1, 10001, 10001}}
{}
{}

{0x111 \ {01111, 00111}, 00x1x \ {00111, 00x11, 00110}, xx1x1 \ {01111, xx111, 0x111}}
{1011x \ {10111, 10110}, xx1x1 \ {011x1, 11101, 10111}, x0x1x \ {10x1x, x0111, x011x}}
{
   101110x111 \ {
   1011101111, 1011100111, 101110x111}, xx1110x111 \ {
   xx11101111, xx11100111, 011110x111, 101110x111}, x0x110x111 \ {
   x0x1101111, x0x1100111, 10x110x111, x01110x111, x01110x111}, 1011x00x1x \ {
   1011100x10, 1011000x11, 1011x00111, 1011x00x11, 1011x00110, 1011100x1x, 1011000x1x}, xx11100x11 \ {
   xx11100111, xx11100x11, 0111100x11, 1011100x11}, x0x1x00x1x \ {
   x0x1100x10, x0x1000x11, x0x1x00111, x0x1x00x11, x0x1x00110, 10x1x00x1x, x011100x1x, x011x00x1x}, 10111xx111 \ {
   1011101111, 10111xx111, 101110x111, 10111xx111}, xx1x1xx1x1 \ {
   xx111xx101, xx101xx111, xx1x101111, xx1x1xx111, xx1x10x111, 011x1xx1x1, 11101xx1x1, 10111xx1x1}, x0x11xx111 \ {
   x0x1101111, x0x11xx111, x0x110x111, 10x11xx111, x0111xx111, x0111xx111}}

{0110x \ {01101, 01100}}
{xx0x1 \ {00011, 100x1, 110x1}, 01xx1 \ {011x1, 01001, 010x1}}
{
   xx00101101 \ {
   xx00101101, 1000101101, 1100101101}, 01x0101101 \ {
   01x0101101, 0110101101, 0100101101, 0100101101}}

{111x0 \ {11100, 11110}, xx101 \ {0x101, 00101, 11101}}
{xxx01 \ {10101, 10x01, 0x101}}
{
   xxx01xx101 \ {
   xxx010x101, xxx0100101, xxx0111101, 10101xx101, 10x01xx101, 0x101xx101}}

{}
{0xx0x \ {0xx01, 00001}}
{}

{1xx1x \ {11110, 1xx11, 1111x}, 00x10 \ {00010}, 0x1x0 \ {011x0, 00100, 00100}}
{x0011 \ {00011, 10011}, xxx0x \ {00x01, 0110x, 0100x}}
{
   x00111xx11 \ {
   x00111xx11, x001111111, 000111xx11, 100111xx11}, xxx000x100 \ {
   xxx0001100, xxx0000100, xxx0000100, 011000x100, 010000x100}}

{01x11 \ {01111}}
{0x0xx \ {00001, 000x1, 010x1}}
{
   0x01101x11 \ {
   0x01101111, 0001101x11, 0101101x11}}

{10x00 \ {10000, 10100, 10100}, 00x00 \ {00100, 00000}, x10xx \ {0101x, 11001, 010x0}}
{01x1x \ {01x11, 0111x, 01111}, 100x0 \ {10000, 10010}}
{
   1000010x00 \ {
   1000010000, 1000010100, 1000010100, 1000010x00}, 1000000x00 \ {
   1000000100, 1000000000, 1000000x00}, 01x1xx101x \ {
   01x11x1010, 01x10x1011, 01x1x0101x, 01x1x01010, 01x11x101x, 0111xx101x, 01111x101x}, 100x0x10x0 \ {
   10010x1000, 10000x1010, 100x001010, 100x0010x0, 10000x10x0, 10010x10x0}}

{01x00 \ {01100, 01000}, x1x0x \ {11101, 11x00, 01000}}
{01xx0 \ {010x0, 01110, 01x00}}
{
   01x0001x00 \ {
   01x0001100, 01x0001000, 0100001x00, 01x0001x00}, 01x00x1x00 \ {
   01x0011x00, 01x0001000, 01000x1x00, 01x00x1x00}}

{x11xx \ {011x1, x111x, x110x}, 01x11 \ {01111, 01011, 01011}}
{000x1 \ {00011, 00001, 00001}}
{
   000x1x11x1 \ {
   00011x1101, 00001x1111, 000x1011x1, 000x1x1111, 000x1x1101, 00011x11x1, 00001x11x1, 00001x11x1}, 0001101x11 \ {
   0001101111, 0001101011, 0001101011, 0001101x11}}

{1xx01 \ {11x01, 10x01, 10101}, 1x1x0 \ {1x100, 11100, 1x110}}
{}
{}

{xxx11 \ {10111, xx111}, 1x101 \ {11101, 10101, 10101}}
{x1x0x \ {x1x01, x110x, 11x00}}
{
   x1x011x101 \ {
   x1x0111101, x1x0110101, x1x0110101, x1x011x101, x11011x101}}

{010xx \ {010x1, 0101x, 01000}}
{0xx1x \ {01111, 01x10, 01x11}}
{
   0xx1x0101x \ {
   0xx1101010, 0xx1001011, 0xx1x01011, 0xx1x0101x, 011110101x, 01x100101x, 01x110101x}}

{}
{1xx1x \ {10x11, 1x010, 10011}, x1xx0 \ {01100, x1x00, 11xx0}}
{}

{00x1x \ {00x10, 00111, 00011}}
{x010x \ {00101, 0010x, 10101}}
{}

{1x1x0 \ {1x100, 101x0, 111x0}, 1xx11 \ {11x11, 1x011, 10111}}
{0xx00 \ {0x000, 01000, 01000}, 1x101 \ {11101}}
{
   0xx001x100 \ {
   0xx001x100, 0xx0010100, 0xx0011100, 0x0001x100, 010001x100, 010001x100}}

{1x11x \ {1x111, 10111, 1011x}, 0xxxx \ {00x0x, 0xx00, 00x10}}
{x1x11 \ {01x11, 11011, 11011}, xx0xx \ {010xx, xx001, x101x}}
{
   x1x111x111 \ {
   x1x111x111, x1x1110111, x1x1110111, 01x111x111, 110111x111, 110111x111}, xx01x1x11x \ {
   xx0111x110, xx0101x111, xx01x1x111, xx01x10111, xx01x1011x, 0101x1x11x, x101x1x11x}, x1x110xx11 \ {
   01x110xx11, 110110xx11, 110110xx11}, xx0xx0xxxx \ {
   xx0x10xxx0, xx0x00xxx1, xx01x0xx0x, xx00x0xx1x, xx0xx00x0x, xx0xx0xx00, xx0xx00x10, 010xx0xxxx, xx0010xxxx, x101x0xxxx}}

{xx110 \ {0x110, 1x110}, 10x10 \ {10010, 10110, 10110}}
{}
{}

{1xx11 \ {11011, 11111, 10x11}, x0111 \ {10111, 00111, 00111}}
{0xxxx \ {0x01x, 01101, 00x00}, 0x0x1 \ {010x1, 00011, 01011}, x1xxx \ {01110, 110x1, 11110}}
{
   0xx111xx11 \ {
   0xx1111011, 0xx1111111, 0xx1110x11, 0x0111xx11}, 0x0111xx11 \ {
   0x01111011, 0x01111111, 0x01110x11, 010111xx11, 000111xx11, 010111xx11}, x1x111xx11 \ {
   x1x1111011, x1x1111111, x1x1110x11, 110111xx11}, 0xx11x0111 \ {
   0xx1110111, 0xx1100111, 0xx1100111, 0x011x0111}, 0x011x0111 \ {
   0x01110111, 0x01100111, 0x01100111, 01011x0111, 00011x0111, 01011x0111}, x1x11x0111 \ {
   x1x1110111, x1x1100111, x1x1100111, 11011x0111}}

{1x1x1 \ {111x1, 11101, 11111}, 1100x \ {11001}, 0001x \ {00011, 00010, 00010}}
{10xx0 \ {10010, 100x0, 10x10}, xx01x \ {00010, xx011, xx011}}
{
   xx0111x111 \ {
   xx01111111, xx01111111, xx0111x111, xx0111x111}, 10x0011000 \ {
   1000011000}, 10x1000010 \ {
   10x1000010, 10x1000010, 1001000010, 1001000010, 10x1000010}, xx01x0001x \ {
   xx01100010, xx01000011, xx01x00011, xx01x00010, xx01x00010, 000100001x, xx0110001x, xx0110001x}}

{x01x1 \ {x0111, 10101, x0101}}
{0xx00 \ {01100, 01000, 01x00}, x100x \ {01001, x1001, 01000}, 0xxx0 \ {001x0, 0x0x0, 00110}}
{
   x1001x0101 \ {
   x100110101, x1001x0101, 01001x0101, x1001x0101}}

{xx001 \ {00001, 1x001}, x0x1x \ {00011, 10x1x, 10x10}, xx100 \ {1x100, 11100, 0x100}}
{x1001 \ {01001}, x00xx \ {10011, 00010, 0000x}}
{
   x1001xx001 \ {
   x100100001, x10011x001, 01001xx001}, x0001xx001 \ {
   x000100001, x00011x001, 00001xx001}, x001xx0x1x \ {
   x0011x0x10, x0010x0x11, x001x00011, x001x10x1x, x001x10x10, 10011x0x1x, 00010x0x1x}, x0000xx100 \ {
   x00001x100, x000011100, x00000x100, 00000xx100}}

{01xx1 \ {01011, 01111, 01x11}}
{1xx0x \ {11x0x, 1xx01}, x101x \ {x1011, 1101x, 1101x}}
{
   1xx0101x01 \ {
   11x0101x01, 1xx0101x01}, x101101x11 \ {
   x101101011, x101101111, x101101x11, x101101x11, 1101101x11, 1101101x11}}

{xxx0x \ {00101, 1x100, xx001}}
{}
{}

{00xx0 \ {00100, 00110, 00010}, xxx1x \ {1xx1x, 11010, 00110}}
{1x01x \ {1x011, 1x010, 10010}, xx0x0 \ {01000, x0010, 1x000}}
{
   1x01000x10 \ {
   1x01000110, 1x01000010, 1x01000x10, 1001000x10}, xx0x000xx0 \ {
   xx01000x00, xx00000x10, xx0x000100, xx0x000110, xx0x000010, 0100000xx0, x001000xx0, 1x00000xx0}, 1x01xxxx1x \ {
   1x011xxx10, 1x010xxx11, 1x01x1xx1x, 1x01x11010, 1x01x00110, 1x011xxx1x, 1x010xxx1x, 10010xxx1x}, xx010xxx10 \ {
   xx0101xx10, xx01011010, xx01000110, x0010xxx10}}

{xxx10 \ {0x110, 1x010, x1010}, 0x01x \ {00010, 01011, 0001x}}
{00xxx \ {000x0, 0001x, 001xx}}
{
   00x10xxx10 \ {
   00x100x110, 00x101x010, 00x10x1010, 00010xxx10, 00010xxx10, 00110xxx10}, 00x1x0x01x \ {
   00x110x010, 00x100x011, 00x1x00010, 00x1x01011, 00x1x0001x, 000100x01x, 0001x0x01x, 0011x0x01x}}

{10x10 \ {10010, 10110, 10110}}
{1xx1x \ {1xx10, 10x11, 1x01x}, 1xx0x \ {11000, 1x00x, 11001}, x1011 \ {01011}}
{
   1xx1010x10 \ {
   1xx1010010, 1xx1010110, 1xx1010110, 1xx1010x10, 1x01010x10}}

{0111x \ {01110, 01111}, xx1x0 \ {00100, 1x100, 1x110}}
{}
{}

{0x011 \ {01011}}
{xx100 \ {00100, 0x100, x0100}}
{}

{1xx01 \ {11x01, 10101, 10101}, xx00x \ {01001, x1000, 0100x}, xxx1x \ {x0011, 1011x, 10111}}
{1xx0x \ {1x101, 10000, 1x001}}
{
   1xx011xx01 \ {
   1xx0111x01, 1xx0110101, 1xx0110101, 1x1011xx01, 1x0011xx01}, 1xx0xxx00x \ {
   1xx01xx000, 1xx00xx001, 1xx0x01001, 1xx0xx1000, 1xx0x0100x, 1x101xx00x, 10000xx00x, 1x001xx00x}}

{0xxx1 \ {01111, 00x11, 010x1}}
{}
{}

{x0100 \ {10100, 00100}}
{x11x1 \ {111x1, x1101}, x1x00 \ {x1000, 11000, 01x00}}
{
   x1x00x0100 \ {
   x1x0010100, x1x0000100, x1000x0100, 11000x0100, 01x00x0100}}

{x1100 \ {11100, 01100, 01100}, x0x0x \ {10x00, x0100, 10x01}, 1xxx0 \ {110x0, 111x0, 1x110}}
{01xx1 \ {01011, 01101}, 0xx01 \ {01x01, 00x01, 00x01}}
{
   01x01x0x01 \ {
   01x0110x01, 01101x0x01}, 0xx01x0x01 \ {
   0xx0110x01, 01x01x0x01, 00x01x0x01, 00x01x0x01}}

{x001x \ {x0010, 00010, 1001x}, x0001 \ {10001, 00001}}
{011xx \ {011x0, 01111}, 11xxx \ {11x01, 110xx, 11xx1}}
{
   0111xx001x \ {
   01111x0010, 01110x0011, 0111xx0010, 0111x00010, 0111x1001x, 01110x001x, 01111x001x}, 11x1xx001x \ {
   11x11x0010, 11x10x0011, 11x1xx0010, 11x1x00010, 11x1x1001x, 1101xx001x, 11x11x001x}, 01101x0001 \ {
   0110110001, 0110100001}, 11x01x0001 \ {
   11x0110001, 11x0100001, 11x01x0001, 11001x0001, 11x01x0001}}

{11x01 \ {11101, 11001, 11001}}
{x1xxx \ {01xx0, 11x10, 01010}}
{
   x1x0111x01 \ {
   x1x0111101, x1x0111001, x1x0111001}}

{x1x10 \ {11110, x1110, 01x10}}
{0x11x \ {0x111, 00111, 0111x}}
{
   0x110x1x10 \ {
   0x11011110, 0x110x1110, 0x11001x10, 01110x1x10}}

{10x1x \ {10011, 10111, 1001x}}
{x10x0 \ {01010, 01000, 110x0}, xx1x1 \ {01101, x0101, 11111}}
{
   x101010x10 \ {
   x101010010, 0101010x10, 1101010x10}, xx11110x11 \ {
   xx11110011, xx11110111, xx11110011, 1111110x11}}

{0110x \ {01100, 01101, 01101}, 11x01 \ {11001, 11101}}
{xx01x \ {x101x, 10010, 01010}, 1x01x \ {11010, 1x010, 10011}, x1xxx \ {110x0, 11011, x11xx}}
{
   x1x0x0110x \ {
   x1x0101100, x1x0001101, x1x0x01100, x1x0x01101, x1x0x01101, 110000110x, x110x0110x}, x1x0111x01 \ {
   x1x0111001, x1x0111101, x110111x01}}

{x00xx \ {10001, x001x, 00011}, x1000 \ {11000, 01000, 01000}, 0x1x0 \ {01110, 0x110, 0x110}}
{0xx1x \ {0x110, 0x010, 0001x}, 0101x \ {01010, 01011}}
{
   0xx1xx001x \ {
   0xx11x0010, 0xx10x0011, 0xx1xx001x, 0xx1x00011, 0x110x001x, 0x010x001x, 0001xx001x}, 0101xx001x \ {
   01011x0010, 01010x0011, 0101xx001x, 0101x00011, 01010x001x, 01011x001x}, 0xx100x110 \ {
   0xx1001110, 0xx100x110, 0xx100x110, 0x1100x110, 0x0100x110, 000100x110}, 010100x110 \ {
   0101001110, 010100x110, 010100x110, 010100x110}}

{}
{}
{}

{x1x11 \ {01x11, 11011, 11111}}
{}
{}

{}
{10xxx \ {10x00, 101x0, 1010x}, xx100 \ {00100, 10100, 01100}}
{}

{00xx1 \ {00x11, 00111, 00111}, 11x00 \ {11100}}
{11xxx \ {110x0, 11110, 11x11}, x0x1x \ {x0111, 00011}}
{
   11xx100xx1 \ {
   11x1100x01, 11x0100x11, 11xx100x11, 11xx100111, 11xx100111, 11x1100xx1}, x0x1100x11 \ {
   x0x1100x11, x0x1100111, x0x1100111, x011100x11, 0001100x11}, 11x0011x00 \ {
   11x0011100, 1100011x00}}

{1xx0x \ {11001, 11000, 10x00}, x00x0 \ {00000, x0010, 10000}}
{1x1x1 \ {11111, 1x101, 10111}}
{
   1x1011xx01 \ {
   1x10111001, 1x1011xx01}}

{xxx0x \ {x0x01, 01101, 1000x}, xxx11 \ {x1111, x0x11, xx111}, 11xx0 \ {11x00, 111x0, 11x10}}
{xxx0x \ {1x101, 10001, 0x001}, 0x01x \ {01010, 01011}, 1110x \ {11101, 11100}}
{
   xxx0xxxx0x \ {
   xxx01xxx00, xxx00xxx01, xxx0xx0x01, xxx0x01101, xxx0x1000x, 1x101xxx0x, 10001xxx0x, 0x001xxx0x}, 1110xxxx0x \ {
   11101xxx00, 11100xxx01, 1110xx0x01, 1110x01101, 1110x1000x, 11101xxx0x, 11100xxx0x}, 0x011xxx11 \ {
   0x011x1111, 0x011x0x11, 0x011xx111, 01011xxx11}, xxx0011x00 \ {
   xxx0011x00, xxx0011100}, 0x01011x10 \ {
   0x01011110, 0x01011x10, 0101011x10}, 1110011x00 \ {
   1110011x00, 1110011100, 1110011x00}}

{xx001 \ {x1001, 00001, 01001}, 11xx1 \ {11x01, 11x11}}
{0000x \ {00001, 00000}}
{
   00001xx001 \ {
   00001x1001, 0000100001, 0000101001, 00001xx001}, 0000111x01 \ {
   0000111x01, 0000111x01}}

{x000x \ {x0000, 00001, 00000}, xx110 \ {01110, 0x110, x1110}}
{x10x0 \ {11010, 01010, 11000}}
{
   x1000x0000 \ {
   x1000x0000, x100000000, 11000x0000}, x1010xx110 \ {
   x101001110, x10100x110, x1010x1110, 11010xx110, 01010xx110}}

{xx110 \ {1x110, 00110}}
{xx0xx \ {11000, xx01x, 00010}}
{
   xx010xx110 \ {
   xx0101x110, xx01000110, xx010xx110, 00010xx110}}

{x0x10 \ {x0110, 00110, 00x10}, x0xxx \ {00x1x, 00101, 100x1}}
{x0xxx \ {00110, 10101, x00xx}, x1110 \ {01110}}
{
   x0x10x0x10 \ {
   x0x10x0110, x0x1000110, x0x1000x10, 00110x0x10, x0010x0x10}, x0xxxx0xxx \ {
   x0xx1x0xx0, x0xx0x0xx1, x0x1xx0x0x, x0x0xx0x1x, x0xxx00x1x, x0xxx00101, x0xxx100x1, 00110x0xxx, 10101x0xxx, x00xxx0xxx}, x1110x0x10 \ {
   x111000x10, 01110x0x10}}

{x1110 \ {11110, 01110}}
{x11x0 \ {011x0, 11110, 11100}}
{
   x1110x1110 \ {
   x111011110, x111001110, 01110x1110, 11110x1110}}

{100x1 \ {10001}, 0xxxx \ {01x01, 00x10, 0xxx1}}
{0x0x0 \ {00010, 0x010, 0x000}, 1xx0x \ {10001, 10101, 10000}}
{
   1xx0110001 \ {
   1xx0110001, 1000110001, 1010110001}, 0x0x00xxx0 \ {
   0x0100xx00, 0x0000xx10, 0x0x000x10, 000100xxx0, 0x0100xxx0, 0x0000xxx0}, 1xx0x0xx0x \ {
   1xx010xx00, 1xx000xx01, 1xx0x01x01, 1xx0x0xx01, 100010xx0x, 101010xx0x, 100000xx0x}}

{00x00 \ {00000, 00100}, 00x00 \ {00000, 00100}, 1xxx0 \ {10x10, 10000, 11x10}}
{01x1x \ {01010, 01x11, 01x11}}
{
   01x101xx10 \ {
   01x1010x10, 01x1011x10, 010101xx10}}

{00x0x \ {0000x, 00000, 00101}, x1101 \ {11101, 01101}}
{0x110 \ {01110, 00110, 00110}, 1x100 \ {11100, 10100}}
{
   1x10000x00 \ {
   1x10000000, 1x10000000, 1110000x00, 1010000x00}}

{1x0xx \ {1x001, 1100x, 11011}, x0x10 \ {10x10, 00110, x0110}}
{1101x \ {11010, 11011, 11011}, 00xxx \ {0000x, 00101, 00100}, x11x0 \ {01100, x1100, 111x0}}
{
   1101x1x01x \ {
   110111x010, 110101x011, 1101x11011, 110101x01x, 110111x01x, 110111x01x}, 00xxx1x0xx \ {
   00xx11x0x0, 00xx01x0x1, 00x1x1x00x, 00x0x1x01x, 00xxx1x001, 00xxx1100x, 00xxx11011, 0000x1x0xx, 001011x0xx, 001001x0xx}, x11x01x0x0 \ {
   x11101x000, x11001x010, x11x011000, 011001x0x0, x11001x0x0, 111x01x0x0}, 11010x0x10 \ {
   1101010x10, 1101000110, 11010x0110, 11010x0x10}, 00x10x0x10 \ {
   00x1010x10, 00x1000110, 00x10x0110}, x1110x0x10 \ {
   x111010x10, x111000110, x1110x0110, 11110x0x10}}

{xx111 \ {x1111, x0111, 01111}, 1xxxx \ {10111, 100x0, 11x00}}
{xx001 \ {00001, x1001, 01001}, 0x10x \ {00100, 0x100, 00101}}
{
   xx0011xx01 \ {
   000011xx01, x10011xx01, 010011xx01}, 0x10x1xx0x \ {
   0x1011xx00, 0x1001xx01, 0x10x10000, 0x10x11x00, 001001xx0x, 0x1001xx0x, 001011xx0x}}

{0xx11 \ {01011, 01111, 01x11}}
{x111x \ {x1111, 11111, 11110}}
{
   x11110xx11 \ {
   x111101011, x111101111, x111101x11, x11110xx11, 111110xx11}}

{x11x0 \ {011x0, 01110, x1110}, 01xx1 \ {01x01, 01011}}
{0xxxx \ {00001, 011x1, 0x011}, 1x0x0 \ {10010, 1x000, 110x0}}
{
   0xxx0x11x0 \ {
   0xx10x1100, 0xx00x1110, 0xxx0011x0, 0xxx001110, 0xxx0x1110}, 1x0x0x11x0 \ {
   1x010x1100, 1x000x1110, 1x0x0011x0, 1x0x001110, 1x0x0x1110, 10010x11x0, 1x000x11x0, 110x0x11x0}, 0xxx101xx1 \ {
   0xx1101x01, 0xx0101x11, 0xxx101x01, 0xxx101011, 0000101xx1, 011x101xx1, 0x01101xx1}}

{1x0xx \ {1x010, 11001, 10010}, 0x1x0 \ {0x110, 01110}}
{}
{}

{10x1x \ {10x11, 10010, 10010}}
{110x0 \ {11010, 11000}}
{
   1101010x10 \ {
   1101010010, 1101010010, 1101010x10}}

{01x1x \ {01x11, 01x10, 0101x}, 10xx1 \ {10001, 101x1}}
{xxx00 \ {10x00, 00000, 01000}, 110xx \ {1100x, 11001}}
{
   1101x01x1x \ {
   1101101x10, 1101001x11, 1101x01x11, 1101x01x10, 1101x0101x}, 110x110xx1 \ {
   1101110x01, 1100110x11, 110x110001, 110x1101x1, 1100110xx1, 1100110xx1}}

{}
{xx01x \ {11011, 1x010, 1x010}, 01x0x \ {01x00, 01000, 01x01}}
{}

{01x0x \ {01000, 01x01, 0100x}}
{01x10 \ {01010, 01110, 01110}, 1x1x1 \ {111x1, 1x101}}
{
   1x10101x01 \ {
   1x10101x01, 1x10101001, 1110101x01, 1x10101x01}}

{000xx \ {0000x, 00001, 000x0}}
{xx111 \ {0x111, 01111, 10111}, x1x1x \ {01011, 01x11, 11011}}
{
   xx11100011 \ {
   0x11100011, 0111100011, 1011100011}, x1x1x0001x \ {
   x1x1100010, x1x1000011, x1x1x00010, 010110001x, 01x110001x, 110110001x}}

{xx11x \ {00111, x1111, x0111}, x10xx \ {x10x0, 01001, 0101x}}
{x111x \ {11110, x1111, 01111}}
{
   x111xxx11x \ {
   x1111xx110, x1110xx111, x111x00111, x111xx1111, x111xx0111, 11110xx11x, x1111xx11x, 01111xx11x}, x111xx101x \ {
   x1111x1010, x1110x1011, x111xx1010, x111x0101x, 11110x101x, x1111x101x, 01111x101x}}

{}
{x1110 \ {01110, 11110, 11110}, x000x \ {10001, 1000x, 0000x}}
{}

{x0xx0 \ {100x0, x0x10, x0110}, 0x0xx \ {0101x, 00010, 0x011}}
{x00x1 \ {000x1, x0001, x0001}, 0x1xx \ {0x1x1, 0x11x, 0x1x0}, 10xxx \ {101x1, 10000, 10x01}}
{
   0x1x0x0xx0 \ {
   0x110x0x00, 0x100x0x10, 0x1x0100x0, 0x1x0x0x10, 0x1x0x0110, 0x110x0xx0, 0x1x0x0xx0}, 10xx0x0xx0 \ {
   10x10x0x00, 10x00x0x10, 10xx0100x0, 10xx0x0x10, 10xx0x0110, 10000x0xx0}, x00x10x0x1 \ {
   x00110x001, x00010x011, x00x101011, x00x10x011, 000x10x0x1, x00010x0x1, x00010x0x1}, 0x1xx0x0xx \ {
   0x1x10x0x0, 0x1x00x0x1, 0x11x0x00x, 0x10x0x01x, 0x1xx0101x, 0x1xx00010, 0x1xx0x011, 0x1x10x0xx, 0x11x0x0xx, 0x1x00x0xx}, 10xxx0x0xx \ {
   10xx10x0x0, 10xx00x0x1, 10x1x0x00x, 10x0x0x01x, 10xxx0101x, 10xxx00010, 10xxx0x011, 101x10x0xx, 100000x0xx, 10x010x0xx}}

{x000x \ {10001, 00000, 1000x}}
{}
{}

{0xxx0 \ {00x00, 00xx0, 0x0x0}}
{x1x0x \ {11x0x, 11101, x100x}, xxxxx \ {1xxx0, 0x101, 11000}, xxx10 \ {01010, 1xx10, 11x10}}
{
   x1x000xx00 \ {
   x1x0000x00, x1x0000x00, x1x000x000, 11x000xx00, x10000xx00}, xxxx00xxx0 \ {
   xxx100xx00, xxx000xx10, xxxx000x00, xxxx000xx0, xxxx00x0x0, 1xxx00xxx0, 110000xxx0}, xxx100xx10 \ {
   xxx1000x10, xxx100x010, 010100xx10, 1xx100xx10, 11x100xx10}}

{x0xx0 \ {00110, 101x0, x0010}, 1xx10 \ {11010, 10x10, 10010}}
{0x10x \ {01100, 0110x, 00100}, 0x11x \ {00111, 00110, 0x111}}
{
   0x100x0x00 \ {
   0x10010100, 01100x0x00, 01100x0x00, 00100x0x00}, 0x110x0x10 \ {
   0x11000110, 0x11010110, 0x110x0010, 00110x0x10}, 0x1101xx10 \ {
   0x11011010, 0x11010x10, 0x11010010, 001101xx10}}

{x1x10 \ {11x10, 11110, x1010}, x10xx \ {010xx, x100x, 01001}}
{}
{}

{0x1xx \ {001xx, 01100}, x110x \ {x1100, 1110x, 0110x}}
{10x00 \ {10100}}
{
   10x000x100 \ {
   10x0000100, 10x0001100, 101000x100}, 10x00x1100 \ {
   10x00x1100, 10x0011100, 10x0001100, 10100x1100}}

{x00xx \ {100x0, 00001, 10000}}
{xx00x \ {11001, 00000, xx000}}
{
   xx00xx000x \ {
   xx001x0000, xx000x0001, xx00x10000, xx00x00001, xx00x10000, 11001x000x, 00000x000x, xx000x000x}}

{x00xx \ {x00x0, x001x}, 0010x \ {00101, 00100}, 011xx \ {011x0, 01100, 01100}}
{01xxx \ {0111x, 0110x, 011x0}, x001x \ {10011, 00010}, xxx0x \ {00100, 01x01, 11x0x}}
{
   01xxxx00xx \ {
   01xx1x00x0, 01xx0x00x1, 01x1xx000x, 01x0xx001x, 01xxxx00x0, 01xxxx001x, 0111xx00xx, 0110xx00xx, 011x0x00xx}, x001xx001x \ {
   x0011x0010, x0010x0011, x001xx0010, x001xx001x, 10011x001x, 00010x001x}, xxx0xx000x \ {
   xxx01x0000, xxx00x0001, xxx0xx0000, 00100x000x, 01x01x000x, 11x0xx000x}, 01x0x0010x \ {
   01x0100100, 01x0000101, 01x0x00101, 01x0x00100, 0110x0010x, 011000010x}, xxx0x0010x \ {
   xxx0100100, xxx0000101, xxx0x00101, xxx0x00100, 001000010x, 01x010010x, 11x0x0010x}, 01xxx011xx \ {
   01xx1011x0, 01xx0011x1, 01x1x0110x, 01x0x0111x, 01xxx011x0, 01xxx01100, 01xxx01100, 0111x011xx, 0110x011xx, 011x0011xx}, x001x0111x \ {
   x001101110, x001001111, x001x01110, 100110111x, 000100111x}, xxx0x0110x \ {
   xxx0101100, xxx0001101, xxx0x01100, xxx0x01100, xxx0x01100, 001000110x, 01x010110x, 11x0x0110x}}

{10xx1 \ {10111, 10001, 101x1}, 0111x \ {01110, 01111, 01111}, 010xx \ {010x1, 01000, 01011}}
{1xx1x \ {11x10, 1x110}}
{
   1xx1110x11 \ {
   1xx1110111, 1xx1110111}, 1xx1x0111x \ {
   1xx1101110, 1xx1001111, 1xx1x01110, 1xx1x01111, 1xx1x01111, 11x100111x, 1x1100111x}, 1xx1x0101x \ {
   1xx1101010, 1xx1001011, 1xx1x01011, 1xx1x01011, 11x100101x, 1x1100101x}}

{x1xxx \ {x111x, 11000, 0111x}}
{0xx1x \ {0x111, 00111, 00010}}
{
   0xx1xx1x1x \ {
   0xx11x1x10, 0xx10x1x11, 0xx1xx111x, 0xx1x0111x, 0x111x1x1x, 00111x1x1x, 00010x1x1x}}

{00xxx \ {001x0, 0010x, 00x11}}
{}
{}

{1x11x \ {1x111, 1x110, 1111x}}
{0x0xx \ {0x00x, 0x0x1, 0100x}, x1000 \ {01000, 11000}}
{
   0x01x1x11x \ {
   0x0111x110, 0x0101x111, 0x01x1x111, 0x01x1x110, 0x01x1111x, 0x0111x11x}}

{111xx \ {11101, 11110, 11111}, xxx10 \ {01x10, 11010, 01110}}
{x1x10 \ {01x10, x1110, 01110}}
{
   x1x1011110 \ {
   x1x1011110, 01x1011110, x111011110, 0111011110}, x1x10xxx10 \ {
   x1x1001x10, x1x1011010, x1x1001110, 01x10xxx10, x1110xxx10, 01110xxx10}}

{x0xx1 \ {x01x1, 10011}, x00x1 \ {10001, x0001}}
{100xx \ {1000x, 10010, 10011}}
{
   100x1x0xx1 \ {
   10011x0x01, 10001x0x11, 100x1x01x1, 100x110011, 10001x0xx1, 10011x0xx1}, 100x1x00x1 \ {
   10011x0001, 10001x0011, 100x110001, 100x1x0001, 10001x00x1, 10011x00x1}}

{}
{}
{}

{11xxx \ {11101, 11x11, 11x10}}
{xxx1x \ {0011x, 11x10, x0x1x}}
{
   xxx1x11x1x \ {
   xxx1111x10, xxx1011x11, xxx1x11x11, xxx1x11x10, 0011x11x1x, 11x1011x1x, x0x1x11x1x}}

{xxx1x \ {xxx11, 01x1x, 11x10}}
{xxxx0 \ {10x10, 01x10, x11x0}, xx011 \ {x0011, 01011, x1011}}
{
   xxx10xxx10 \ {
   xxx1001x10, xxx1011x10, 10x10xxx10, 01x10xxx10, x1110xxx10}, xx011xxx11 \ {
   xx011xxx11, xx01101x11, x0011xxx11, 01011xxx11, x1011xxx11}}

{x101x \ {01011, 1101x, 0101x}, 0x11x \ {0x111, 0011x, 01111}}
{011x1 \ {01101, 01111}}
{
   01111x1011 \ {
   0111101011, 0111111011, 0111101011, 01111x1011}, 011110x111 \ {
   011110x111, 0111100111, 0111101111, 011110x111}}

{}
{1xxxx \ {110x0, 11011, 1001x}, x0001 \ {00001, 10001, 10001}}
{}

{11xxx \ {1111x, 11x1x, 110xx}, 1x11x \ {10111, 1111x}, 1xx10 \ {11x10, 1x010}}
{}
{}

{010xx \ {01000, 010x1}}
{0x01x \ {0x010, 0101x}}
{
   0x01x0101x \ {
   0x01101010, 0x01001011, 0x01x01011, 0x0100101x, 0101x0101x}}

{x1x0x \ {x100x, 01x0x, 01101}}
{0xxx0 \ {0x010, 001x0, 00000}, 101x0 \ {10110}}
{
   0xx00x1x00 \ {
   0xx00x1000, 0xx0001x00, 00100x1x00, 00000x1x00}, 10100x1x00 \ {
   10100x1000, 1010001x00}}

{0x1x0 \ {001x0, 0x110, 01100}}
{0x0x1 \ {01011, 000x1, 010x1}}
{}

{xx010 \ {0x010, 11010, 01010}, x1101 \ {11101, 01101}}
{x1x1x \ {x1010, 0111x, 01x1x}}
{
   x1x10xx010 \ {
   x1x100x010, x1x1011010, x1x1001010, x1010xx010, 01110xx010, 01x10xx010}}

{x10xx \ {11001, 0101x, 010xx}, x100x \ {0100x, 11000, 11000}}
{1x01x \ {1x011, 11011, 10011}, 111x1 \ {11111}}
{
   1x01xx101x \ {
   1x011x1010, 1x010x1011, 1x01x0101x, 1x01x0101x, 1x011x101x, 11011x101x, 10011x101x}, 111x1x10x1 \ {
   11111x1001, 11101x1011, 111x111001, 111x101011, 111x1010x1, 11111x10x1}, 11101x1001 \ {
   1110101001}}

{xx100 \ {x1100, x0100, x0100}}
{x11x1 \ {111x1, 011x1}, 1111x \ {11110, 11111}, 01x1x \ {0101x, 01111}}
{}

{00xx0 \ {00x10, 00x00, 00110}, xxx11 \ {x0011, x1011, xx011}}
{0xx00 \ {00x00, 0x000, 0x100}, 1x10x \ {10101, 11101, 11101}}
{
   0xx0000x00 \ {
   0xx0000x00, 00x0000x00, 0x00000x00, 0x10000x00}, 1x10000x00 \ {
   1x10000x00}}

{1xx10 \ {10x10, 10110, 10110}, 1xx00 \ {11100, 1x000, 1x100}}
{xx01x \ {00010, 11011, x001x}}
{
   xx0101xx10 \ {
   xx01010x10, xx01010110, xx01010110, 000101xx10, x00101xx10}}

{}
{1x00x \ {1x001, 11000, 11001}}
{}

{x0x0x \ {10101, 1000x, x0001}}
{1xxx1 \ {11111, 11001, 101x1}}
{
   1xx01x0x01 \ {
   1xx0110101, 1xx0110001, 1xx01x0001, 11001x0x01, 10101x0x01}}

{11x0x \ {11x00, 1100x, 11100}}
{xx110 \ {11110, 01110, 01110}}
{}

{x010x \ {10101, 0010x, x0101}, x1x0x \ {x1001, 01100, x1x01}}
{1010x \ {10100}, 000x1 \ {00011, 00001}}
{
   1010xx010x \ {
   10101x0100, 10100x0101, 1010x10101, 1010x0010x, 1010xx0101, 10100x010x}, 00001x0101 \ {
   0000110101, 0000100101, 00001x0101, 00001x0101}, 1010xx1x0x \ {
   10101x1x00, 10100x1x01, 1010xx1001, 1010x01100, 1010xx1x01, 10100x1x0x}, 00001x1x01 \ {
   00001x1001, 00001x1x01, 00001x1x01}}

{xx011 \ {0x011, 00011, 1x011}}
{0011x \ {00111}, 00xxx \ {00110, 00x0x, 00011}, x0x0x \ {00101, 10000, 10101}}
{
   00111xx011 \ {
   001110x011, 0011100011, 001111x011, 00111xx011}, 00x11xx011 \ {
   00x110x011, 00x1100011, 00x111x011, 00011xx011}}

{1x11x \ {1x111, 11110}, xx01x \ {1x010, 0001x, 11010}, x0x10 \ {00x10, 10110}}
{xx1x1 \ {x0111, 0x1x1, 10111}, xx0x1 \ {11011, 1x001, 01011}}
{
   xx1111x111 \ {
   xx1111x111, x01111x111, 0x1111x111, 101111x111}, xx0111x111 \ {
   xx0111x111, 110111x111, 010111x111}, xx111xx011 \ {
   xx11100011, x0111xx011, 0x111xx011, 10111xx011}, xx011xx011 \ {
   xx01100011, 11011xx011, 01011xx011}}

{xx0x0 \ {100x0, 11010, 0x010}}
{1x00x \ {1x000, 1000x, 11000}, 110x1 \ {11001}, 01xx1 \ {01001, 011x1, 01101}}
{
   1x000xx000 \ {
   1x00010000, 1x000xx000, 10000xx000, 11000xx000}}

{1x1x1 \ {101x1, 11101, 11101}}
{x0x11 \ {10011, 00x11, 10111}, 10xxx \ {10xx0, 10110, 10010}}
{
   x0x111x111 \ {
   x0x1110111, 100111x111, 00x111x111, 101111x111}, 10xx11x1x1 \ {
   10x111x101, 10x011x111, 10xx1101x1, 10xx111101, 10xx111101}}

{0xx00 \ {0x000, 00100, 01x00}, 0x00x \ {0x001, 01000, 01000}}
{10xxx \ {10001, 10x01, 10x00}}
{
   10x000xx00 \ {
   10x000x000, 10x0000100, 10x0001x00, 10x000xx00}, 10x0x0x00x \ {
   10x010x000, 10x000x001, 10x0x0x001, 10x0x01000, 10x0x01000, 100010x00x, 10x010x00x, 10x000x00x}}

{011xx \ {0111x, 011x1, 011x0}, 11xx0 \ {11010, 110x0, 11x10}}
{111xx \ {11100, 111x1}, 01xx0 \ {01x10, 011x0}, 0x1x0 \ {0x100, 00100, 01110}}
{
   111xx011xx \ {
   111x1011x0, 111x0011x1, 1111x0110x, 1110x0111x, 111xx0111x, 111xx011x1, 111xx011x0, 11100011xx, 111x1011xx}, 01xx0011x0 \ {
   01x1001100, 01x0001110, 01xx001110, 01xx0011x0, 01x10011x0, 011x0011x0}, 0x1x0011x0 \ {
   0x11001100, 0x10001110, 0x1x001110, 0x1x0011x0, 0x100011x0, 00100011x0, 01110011x0}, 111x011xx0 \ {
   1111011x00, 1110011x10, 111x011010, 111x0110x0, 111x011x10, 1110011xx0}, 01xx011xx0 \ {
   01x1011x00, 01x0011x10, 01xx011010, 01xx0110x0, 01xx011x10, 01x1011xx0, 011x011xx0}, 0x1x011xx0 \ {
   0x11011x00, 0x10011x10, 0x1x011010, 0x1x0110x0, 0x1x011x10, 0x10011xx0, 0010011xx0, 0111011xx0}}

{xx100 \ {x1100, 1x100, 11100}}
{x0x0x \ {00001, 00x01, 00x0x}}
{
   x0x00xx100 \ {
   x0x00x1100, x0x001x100, x0x0011100, 00x00xx100}}

{}
{x11xx \ {x111x, x110x, 1111x}}
{}

{xx0xx \ {xx01x, 10010, xx00x}, xx0xx \ {1x0x1, 01001, x00x0}}
{01xxx \ {01111, 010x1, 011x0}}
{
   01xxxxx0xx \ {
   01xx1xx0x0, 01xx0xx0x1, 01x1xxx00x, 01x0xxx01x, 01xxxxx01x, 01xxx10010, 01xxxxx00x, 01111xx0xx, 010x1xx0xx, 011x0xx0xx}, 01xxxxx0xx \ {
   01xx1xx0x0, 01xx0xx0x1, 01x1xxx00x, 01x0xxx01x, 01xxx1x0x1, 01xxx01001, 01xxxx00x0, 01111xx0xx, 010x1xx0xx, 011x0xx0xx}}

{1xxxx \ {1x00x, 1001x, 1000x}, 01xx1 \ {01001, 01011, 01x11}, 0xx0x \ {00x01, 0x00x, 01100}}
{0xx00 \ {01x00, 01100, 00000}, x0xx0 \ {10100, 00x10, x0010}, x1100 \ {01100, 11100, 11100}}
{
   0xx001xx00 \ {
   0xx001x000, 0xx0010000, 01x001xx00, 011001xx00, 000001xx00}, x0xx01xxx0 \ {
   x0x101xx00, x0x001xx10, x0xx01x000, x0xx010010, x0xx010000, 101001xxx0, 00x101xxx0, x00101xxx0}, x11001xx00 \ {
   x11001x000, x110010000, 011001xx00, 111001xx00, 111001xx00}, 0xx000xx00 \ {
   0xx000x000, 0xx0001100, 01x000xx00, 011000xx00, 000000xx00}, x0x000xx00 \ {
   x0x000x000, x0x0001100, 101000xx00}, x11000xx00 \ {
   x11000x000, x110001100, 011000xx00, 111000xx00, 111000xx00}}

{xx01x \ {1101x, 0x01x, x0010}, 1001x \ {10010, 10011}}
{10xxx \ {10010, 100x0, 10011}}
{
   10x1xxx01x \ {
   10x11xx010, 10x10xx011, 10x1x1101x, 10x1x0x01x, 10x1xx0010, 10010xx01x, 10010xx01x, 10011xx01x}, 10x1x1001x \ {
   10x1110010, 10x1010011, 10x1x10010, 10x1x10011, 100101001x, 100101001x, 100111001x}}

{10x01 \ {10101}}
{1xx1x \ {11011, 10111, 11x10}}
{}

{x0100 \ {10100}}
{x10xx \ {x10x0, 010x0, x1011}}
{
   x1000x0100 \ {
   x100010100, x1000x0100, 01000x0100}}

{x0xx0 \ {10x10, x0x10, 10xx0}}
{0x1x1 \ {01101, 0x111}, x01x0 \ {10100, 00110, 00110}}
{
   x01x0x0xx0 \ {
   x0110x0x00, x0100x0x10, x01x010x10, x01x0x0x10, x01x010xx0, 10100x0xx0, 00110x0xx0, 00110x0xx0}}

{1x1x0 \ {10100, 11110, 11100}, 111xx \ {11100, 11101, 1110x}}
{x01xx \ {00110, 001xx, 10100}}
{
   x01x01x1x0 \ {
   x01101x100, x01001x110, x01x010100, x01x011110, x01x011100, 001101x1x0, 001x01x1x0, 101001x1x0}, x01xx111xx \ {
   x01x1111x0, x01x0111x1, x011x1110x, x010x1111x, x01xx11100, x01xx11101, x01xx1110x, 00110111xx, 001xx111xx, 10100111xx}}

{0xx11 \ {0x011, 01111, 00x11}, x11xx \ {x1100, 111x1, 01101}}
{1100x \ {11000}, xx0x1 \ {xx001, 1x001, x0011}}
{
   xx0110xx11 \ {
   xx0110x011, xx01101111, xx01100x11, x00110xx11}, 1100xx110x \ {
   11001x1100, 11000x1101, 1100xx1100, 1100x11101, 1100x01101, 11000x110x}, xx0x1x11x1 \ {
   xx011x1101, xx001x1111, xx0x1111x1, xx0x101101, xx001x11x1, 1x001x11x1, x0011x11x1}}

{001xx \ {001x0, 00100, 00111}, 1xxxx \ {111x1, 10xx1, 11111}, 0x010 \ {01010, 00010, 00010}}
{1xx00 \ {1x000, 11100, 10x00}}
{
   1xx0000100 \ {
   1xx0000100, 1xx0000100, 1x00000100, 1110000100, 10x0000100}, 1xx001xx00 \ {
   1x0001xx00, 111001xx00, 10x001xx00}}

{}
{}
{}

{xx0x0 \ {x1010, 0x010, 00010}}
{1x0xx \ {10010, 11011, 1x011}}
{
   1x0x0xx0x0 \ {
   1x010xx000, 1x000xx010, 1x0x0x1010, 1x0x00x010, 1x0x000010, 10010xx0x0}}

{11xxx \ {1100x, 11001, 11001}, 1x011 \ {11011, 10011}, 00x0x \ {0010x, 00000, 00101}}
{1x0xx \ {10000, 11010}}
{
   1x0xx11xxx \ {
   1x0x111xx0, 1x0x011xx1, 1x01x11x0x, 1x00x11x1x, 1x0xx1100x, 1x0xx11001, 1x0xx11001, 1000011xxx, 1101011xxx}, 1x0111x011 \ {
   1x01111011, 1x01110011}, 1x00x00x0x \ {
   1x00100x00, 1x00000x01, 1x00x0010x, 1x00x00000, 1x00x00101, 1000000x0x}}

{x1111 \ {11111, 01111, 01111}, 11xx1 \ {11101, 11001}}
{x1xxx \ {11100, x100x, 11xx1}}
{
   x1x11x1111 \ {
   x1x1111111, x1x1101111, x1x1101111, 11x11x1111}, x1xx111xx1 \ {
   x1x1111x01, x1x0111x11, x1xx111101, x1xx111001, x100111xx1, 11xx111xx1}}

{x0xx1 \ {x0011, 00x01, 00x01}}
{}
{}

{000x1 \ {00011}, 01x0x \ {0100x, 01001, 0110x}}
{01x11 \ {01011, 01111, 01111}, xx111 \ {11111, x0111, 01111}}
{
   01x1100011 \ {
   01x1100011, 0101100011, 0111100011, 0111100011}, xx11100011 \ {
   xx11100011, 1111100011, x011100011, 0111100011}}

{11xx0 \ {11x10, 11x00, 110x0}}
{x1x1x \ {x1110, 0111x, x111x}, 10x0x \ {1000x, 10000, 10000}}
{
   x1x1011x10 \ {
   x1x1011x10, x1x1011010, x111011x10, 0111011x10, x111011x10}, 10x0011x00 \ {
   10x0011x00, 10x0011000, 1000011x00, 1000011x00, 1000011x00}}

{xx0x1 \ {01001, x0011, xx001}}
{0011x \ {00111, 00110, 00110}, 1xxx0 \ {10xx0, 10100, 10x00}}
{
   00111xx011 \ {
   00111x0011, 00111xx011}}

{xx0x0 \ {100x0, 1x000, x00x0}, x1000 \ {01000, 11000, 11000}}
{}
{}

{xx001 \ {0x001, x1001, 11001}}
{1x11x \ {1x111, 10110}}
{}

{010xx \ {01011, 01001, 01010}, 1xx01 \ {10001, 11x01, 11x01}}
{x10xx \ {x1011, x101x}}
{
   x10xx010xx \ {
   x10x1010x0, x10x0010x1, x101x0100x, x100x0101x, x10xx01011, x10xx01001, x10xx01010, x1011010xx, x101x010xx}, x10011xx01 \ {
   x100110001, x100111x01, x100111x01}}

{}
{1x0x0 \ {11010, 11000, 110x0}}
{}

{}
{0xx0x \ {01x0x, 00x0x, 01000}, x1000 \ {11000, 01000}}
{}

{}
{10x00 \ {10100, 10000}}
{}

{}
{x11xx \ {1111x, 111xx, 111xx}}
{}

{xxxxx \ {0xx0x, x0101, 0xxx0}, 01xxx \ {01111, 011x0, 01x01}}
{x110x \ {01100, 1110x}, 10x1x \ {10111, 10x10}}
{
   x110xxxx0x \ {
   x1101xxx00, x1100xxx01, x110x0xx0x, x110xx0101, x110x0xx00, 01100xxx0x, 1110xxxx0x}, 10x1xxxx1x \ {
   10x11xxx10, 10x10xxx11, 10x1x0xx10, 10111xxx1x, 10x10xxx1x}, x110x01x0x \ {
   x110101x00, x110001x01, x110x01100, x110x01x01, 0110001x0x, 1110x01x0x}, 10x1x01x1x \ {
   10x1101x10, 10x1001x11, 10x1x01111, 10x1x01110, 1011101x1x, 10x1001x1x}}

{}
{1x1x0 \ {111x0, 10100, 1x100}, 000x1 \ {00001, 00011, 00011}}
{}

{xx11x \ {xx111, 1x111, 11110}}
{x1x10 \ {01110, x1110}, 0001x \ {00010, 00011}}
{
   x1x10xx110 \ {
   x1x1011110, 01110xx110, x1110xx110}, 0001xxx11x \ {
   00011xx110, 00010xx111, 0001xxx111, 0001x1x111, 0001x11110, 00010xx11x, 00011xx11x}}

{}
{xx1x0 \ {101x0, 0x1x0, 111x0}}
{}

{0x010 \ {01010, 00010}, x110x \ {0110x, 01101}}
{0x1xx \ {00101, 0x111, 0x100}, x0x1x \ {x0x10, x0010, 10111}}
{
   0x1100x010 \ {
   0x11001010, 0x11000010}, x0x100x010 \ {
   x0x1001010, x0x1000010, x0x100x010, x00100x010}, 0x10xx110x \ {
   0x101x1100, 0x100x1101, 0x10x0110x, 0x10x01101, 00101x110x, 0x100x110x}}

{0101x \ {01010, 01011, 01011}}
{xx01x \ {01011, 0001x, 1001x}, xxxx1 \ {x10x1, 1x0x1, xx001}, 00xxx \ {000x0, 00011, 000x1}}
{
   xx01x0101x \ {
   xx01101010, xx01001011, xx01x01010, xx01x01011, xx01x01011, 010110101x, 0001x0101x, 1001x0101x}, xxx1101011 \ {
   xxx1101011, xxx1101011, x101101011, 1x01101011}, 00x1x0101x \ {
   00x1101010, 00x1001011, 00x1x01010, 00x1x01011, 00x1x01011, 000100101x, 000110101x, 000110101x}}

{x0x01 \ {00001, 10001, 10101}, x1010 \ {11010, 01010}}
{x0x1x \ {10x1x, 10010}, 010x0 \ {01010, 01000}, xxx00 \ {x0000, x0x00, 00100}}
{
   x0x10x1010 \ {
   x0x1011010, x0x1001010, 10x10x1010, 10010x1010}, 01010x1010 \ {
   0101011010, 0101001010, 01010x1010}}

{x0x0x \ {0010x, x000x, x0000}, 0xxxx \ {0xxx0, 0x0x0, 0011x}}
{101xx \ {101x0, 10110, 10100}}
{
   1010xx0x0x \ {
   10101x0x00, 10100x0x01, 1010x0010x, 1010xx000x, 1010xx0000, 10100x0x0x, 10100x0x0x}, 101xx0xxxx \ {
   101x10xxx0, 101x00xxx1, 1011x0xx0x, 1010x0xx1x, 101xx0xxx0, 101xx0x0x0, 101xx0011x, 101x00xxxx, 101100xxxx, 101000xxxx}}

{1xx00 \ {11x00, 1x000, 10000}, 0xx1x \ {0x011, 0x110, 00111}}
{xx010 \ {1x010, 00010, 0x010}, 1xxx0 \ {10010, 10110, 110x0}}
{
   1xx001xx00 \ {
   1xx0011x00, 1xx001x000, 1xx0010000, 110001xx00}, xx0100xx10 \ {
   xx0100x110, 1x0100xx10, 000100xx10, 0x0100xx10}, 1xx100xx10 \ {
   1xx100x110, 100100xx10, 101100xx10, 110100xx10}}

{x00xx \ {1000x, 10001, 00000}, x0x1x \ {1001x, 10110}, 1xx10 \ {11010, 11x10}}
{1xx10 \ {10x10, 10010}}
{
   1xx10x0010 \ {
   10x10x0010, 10010x0010}, 1xx10x0x10 \ {
   1xx1010010, 1xx1010110, 10x10x0x10, 10010x0x10}, 1xx101xx10 \ {
   1xx1011010, 1xx1011x10, 10x101xx10, 100101xx10}}

{0x010 \ {00010, 01010}}
{x100x \ {01000, 11000, 11000}, x100x \ {11000, 01001}}
{}

{}
{1x1x1 \ {10111, 11111}}
{}

{10x11 \ {10111, 10011}}
{1000x \ {10001, 10000}}
{}

{x00xx \ {10011, x00x0, 100x1}, xxxx1 \ {0x0x1, x1001, xx111}}
{xx010 \ {x0010, 1x010, 1x010}, xxx01 \ {11101, 11x01, 10001}}
{
   xx010x0010 \ {
   xx010x0010, x0010x0010, 1x010x0010, 1x010x0010}, xxx01x0001 \ {
   xxx0110001, 11101x0001, 11x01x0001, 10001x0001}, xxx01xxx01 \ {
   xxx010x001, xxx01x1001, 11101xxx01, 11x01xxx01, 10001xxx01}}

{1x0xx \ {1000x, 10011, 110x1}, xx011 \ {x0011, 00011, 1x011}}
{0x1xx \ {001x1, 00110, 0x1x0}}
{
   0x1xx1x0xx \ {
   0x1x11x0x0, 0x1x01x0x1, 0x11x1x00x, 0x10x1x01x, 0x1xx1000x, 0x1xx10011, 0x1xx110x1, 001x11x0xx, 001101x0xx, 0x1x01x0xx}, 0x111xx011 \ {
   0x111x0011, 0x11100011, 0x1111x011, 00111xx011}}

{xx101 \ {11101, 0x101, x0101}}
{x1xxx \ {11x0x, 0110x, 11xx0}, 10xxx \ {10xx1, 100x1, 10xx0}}
{
   x1x01xx101 \ {
   x1x0111101, x1x010x101, x1x01x0101, 11x01xx101, 01101xx101}, 10x01xx101 \ {
   10x0111101, 10x010x101, 10x01x0101, 10x01xx101, 10001xx101}}

{01x0x \ {0100x, 01001}}
{}
{}

{0x11x \ {0x111, 00111, 00111}}
{x01x0 \ {x0100, 00100, 001x0}}
{
   x01100x110 \ {
   001100x110}}

{10xx0 \ {10x10, 100x0, 10000}, xx0x1 \ {x0001, xx011, 1x011}}
{x1x0x \ {x1x01, 1100x, 11x01}, x1xxx \ {01x01, 01xx0, 01x10}, x1101 \ {01101, 11101}}
{
   x1x0010x00 \ {
   x1x0010000, x1x0010000, 1100010x00}, x1xx010xx0 \ {
   x1x1010x00, x1x0010x10, x1xx010x10, x1xx0100x0, x1xx010000, 01xx010xx0, 01x1010xx0}, x1x01xx001 \ {
   x1x01x0001, x1x01xx001, 11001xx001, 11x01xx001}, x1xx1xx0x1 \ {
   x1x11xx001, x1x01xx011, x1xx1x0001, x1xx1xx011, x1xx11x011, 01x01xx0x1}, x1101xx001 \ {
   x1101x0001, 01101xx001, 11101xx001}}

{x0001 \ {10001, 00001, 00001}}
{x10xx \ {110x1, 0100x, 110xx}, x1xx0 \ {110x0, 11x10, x10x0}, 0x010 \ {00010, 01010}}
{
   x1001x0001 \ {
   x100110001, x100100001, x100100001, 11001x0001, 01001x0001, 11001x0001}}

{00xxx \ {00001, 00x0x, 00x0x}, 00xx0 \ {00x00, 00010}, x0x10 \ {10010, 00110, 00110}}
{0x0xx \ {0100x, 0x01x, 0x00x}, 0x00x \ {0100x, 00000}}
{
   0x0xx00xxx \ {
   0x0x100xx0, 0x0x000xx1, 0x01x00x0x, 0x00x00x1x, 0x0xx00001, 0x0xx00x0x, 0x0xx00x0x, 0100x00xxx, 0x01x00xxx, 0x00x00xxx}, 0x00x00x0x \ {
   0x00100x00, 0x00000x01, 0x00x00001, 0x00x00x0x, 0x00x00x0x, 0100x00x0x, 0000000x0x}, 0x0x000xx0 \ {
   0x01000x00, 0x00000x10, 0x0x000x00, 0x0x000010, 0100000xx0, 0x01000xx0, 0x00000xx0}, 0x00000x00 \ {
   0x00000x00, 0100000x00, 0000000x00}, 0x010x0x10 \ {
   0x01010010, 0x01000110, 0x01000110, 0x010x0x10}}

{x10xx \ {x1011, 110x0, 01010}}
{xxx0x \ {11001, 0x101, 1110x}, x0010 \ {00010}, 0xxx0 \ {0x100, 011x0, 0x0x0}}
{
   xxx0xx100x \ {
   xxx01x1000, xxx00x1001, xxx0x11000, 11001x100x, 0x101x100x, 1110xx100x}, x0010x1010 \ {
   x001011010, x001001010, 00010x1010}, 0xxx0x10x0 \ {
   0xx10x1000, 0xx00x1010, 0xxx0110x0, 0xxx001010, 0x100x10x0, 011x0x10x0, 0x0x0x10x0}}

{00x10 \ {00010}}
{0xx11 \ {01x11, 01111, 01111}, 0xx1x \ {01x11, 0111x, 00110}, 011x0 \ {01100}}
{
   0xx1000x10 \ {
   0xx1000010, 0111000x10, 0011000x10}, 0111000x10 \ {
   0111000010}}

{x0x1x \ {0011x, x0110, 10x1x}}
{x01xx \ {x0100, 00101, 10100}}
{
   x011xx0x1x \ {
   x0111x0x10, x0110x0x11, x011x0011x, x011xx0110, x011x10x1x}}

{x0x00 \ {10000, x0100, 10x00}, 001xx \ {001x1, 00100}}
{00x0x \ {0010x}, xx111 \ {x1111}}
{
   00x00x0x00 \ {
   00x0010000, 00x00x0100, 00x0010x00, 00100x0x00}, 00x0x0010x \ {
   00x0100100, 00x0000101, 00x0x00101, 00x0x00100, 0010x0010x}, xx11100111 \ {
   xx11100111, x111100111}}

{xx01x \ {0x011, 0x010, 11010}}
{0xx1x \ {0001x, 0011x, 00111}}
{
   0xx1xxx01x \ {
   0xx11xx010, 0xx10xx011, 0xx1x0x011, 0xx1x0x010, 0xx1x11010, 0001xxx01x, 0011xxx01x, 00111xx01x}}

{0x01x \ {01011, 00010}, xx100 \ {1x100, x1100}}
{x1x00 \ {01100, x1100, 11x00}}
{
   x1x00xx100 \ {
   x1x001x100, x1x00x1100, 01100xx100, x1100xx100, 11x00xx100}}

{1x0xx \ {110x0, 1001x, 1x011}}
{1xx00 \ {10000, 11x00, 1x100}, 0x10x \ {00101, 0110x, 0x101}, 1xxx1 \ {1x111, 10011, 1xx01}}
{
   1xx001x000 \ {
   1xx0011000, 100001x000, 11x001x000, 1x1001x000}, 0x10x1x00x \ {
   0x1011x000, 0x1001x001, 0x10x11000, 001011x00x, 0110x1x00x, 0x1011x00x}, 1xxx11x0x1 \ {
   1xx111x001, 1xx011x011, 1xxx110011, 1xxx11x011, 1x1111x0x1, 100111x0x1, 1xx011x0x1}}

{x01x1 \ {001x1, 10101, 101x1}}
{xxxx1 \ {xx111, 1x0x1, x01x1}}
{
   xxxx1x01x1 \ {
   xxx11x0101, xxx01x0111, xxxx1001x1, xxxx110101, xxxx1101x1, xx111x01x1, 1x0x1x01x1, x01x1x01x1}}

{x1xx1 \ {11111, x1111, 11011}}
{0101x \ {01010, 01011}, xx010 \ {11010, 01010, 00010}}
{
   01011x1x11 \ {
   0101111111, 01011x1111, 0101111011, 01011x1x11}}

{x110x \ {x1101, 0110x, x1100}, 0x0x0 \ {01000, 010x0, 0x010}}
{1x0x0 \ {100x0, 110x0, 10010}}
{
   1x000x1100 \ {
   1x00001100, 1x000x1100, 10000x1100, 11000x1100}, 1x0x00x0x0 \ {
   1x0100x000, 1x0000x010, 1x0x001000, 1x0x0010x0, 1x0x00x010, 100x00x0x0, 110x00x0x0, 100100x0x0}}

{01x1x \ {01x11, 0101x, 01x10}}
{11x1x \ {11x10, 11x11}, 110x1 \ {11001}}
{
   11x1x01x1x \ {
   11x1101x10, 11x1001x11, 11x1x01x11, 11x1x0101x, 11x1x01x10, 11x1001x1x, 11x1101x1x}, 1101101x11 \ {
   1101101x11, 1101101011}}

{x10x0 \ {x1000, 11010, x1010}, x010x \ {x0100, 00100, x0101}}
{xx011 \ {01011, 0x011}}
{}

{x0x10 \ {00x10, 10x10, 10010}}
{xxx1x \ {x0111, 11111, x001x}, xx0x1 \ {11001, 110x1, xx001}, x001x \ {10011, 00010}}
{
   xxx10x0x10 \ {
   xxx1000x10, xxx1010x10, xxx1010010, x0010x0x10}, x0010x0x10 \ {
   x001000x10, x001010x10, x001010010, 00010x0x10}}

{0x110 \ {00110, 01110}, x11x0 \ {01110, 01100, x1100}}
{00xx1 \ {000x1, 00x11, 001x1}, 100x0 \ {10010, 10000}}
{
   100100x110 \ {
   1001000110, 1001001110, 100100x110}, 100x0x11x0 \ {
   10010x1100, 10000x1110, 100x001110, 100x001100, 100x0x1100, 10010x11x0, 10000x11x0}}

{1x10x \ {11100, 11101}, 0x1x0 \ {001x0, 0x100, 0x100}}
{}
{}

{xx0x1 \ {xx011, xx001, 110x1}, x1010 \ {01010, 11010}}
{x11xx \ {1111x, 11101, 11100}}
{
   x11x1xx0x1 \ {
   x1111xx001, x1101xx011, x11x1xx011, x11x1xx001, x11x1110x1, 11111xx0x1, 11101xx0x1}, x1110x1010 \ {
   x111001010, x111011010, 11110x1010}}

{x000x \ {00001, 10001}, 10xx1 \ {10x01, 10001, 10x11}}
{x10x0 \ {01000, 01010, 11000}, 0x110 \ {01110, 00110}}
{
   x1000x0000 \ {
   01000x0000, 11000x0000}}

{110xx \ {110x1, 11010}}
{0x110 \ {01110, 00110, 00110}, x1100 \ {11100, 01100}}
{
   0x11011010 \ {
   0x11011010, 0111011010, 0011011010, 0011011010}, x110011000 \ {
   1110011000, 0110011000}}

{1xx1x \ {11111, 1101x, 1x011}}
{}
{}

{1011x \ {10111}}
{0x1xx \ {011xx, 0011x}}
{
   0x11x1011x \ {
   0x11110110, 0x11010111, 0x11x10111, 0111x1011x, 0011x1011x}}

{110x1 \ {11011, 11001, 11001}}
{1xxx0 \ {10x00, 10000, 1xx00}}
{}

{x0x1x \ {00110, x0x10, x001x}}
{110xx \ {11010, 110x1, 1100x}, 1x11x \ {1x110, 1011x, 1011x}}
{
   1101xx0x1x \ {
   11011x0x10, 11010x0x11, 1101x00110, 1101xx0x10, 1101xx001x, 11010x0x1x, 11011x0x1x}, 1x11xx0x1x \ {
   1x111x0x10, 1x110x0x11, 1x11x00110, 1x11xx0x10, 1x11xx001x, 1x110x0x1x, 1011xx0x1x, 1011xx0x1x}}

{xx1x0 \ {0x1x0, 111x0, x0110}, 0x1x0 \ {001x0, 011x0, 01110}}
{x1111 \ {11111, 01111, 01111}}
{}

{}
{100x0 \ {10010, 10000, 10000}, x110x \ {01100, 01101, x1100}}
{}

{10xx1 \ {10101, 10011, 100x1}, 1x01x \ {10011, 1x010, 10010}}
{x0x10 \ {00x10, 10110, x0010}}
{
   x0x101x010 \ {
   x0x101x010, x0x1010010, 00x101x010, 101101x010, x00101x010}}

{x0xx1 \ {x0x01, 00011, 001x1}}
{x0x00 \ {10100, 00000, 00x00}}
{}

{0xxx1 \ {01x01, 010x1, 01011}}
{1x10x \ {1010x, 1x101, 11100}}
{
   1x1010xx01 \ {
   1x10101x01, 1x10101001, 101010xx01, 1x1010xx01}}

{x0xx0 \ {00100, 00xx0, 00000}}
{00x1x \ {00010, 0001x, 00x11}}
{
   00x10x0x10 \ {
   00x1000x10, 00010x0x10, 00010x0x10}}

{10xx0 \ {10110, 10x10, 10000}, x01x1 \ {001x1, 00111, 00111}}
{}
{}

{0x11x \ {00111}, 11xx0 \ {11000, 110x0, 11110}, xx100 \ {10100, 00100, 1x100}}
{}
{}

{x111x \ {0111x, x1110}, 00xx1 \ {00x11, 00111}, 1x001 \ {10001}}
{x00xx \ {000xx, x00x1, x0001}}
{
   x001xx111x \ {
   x0011x1110, x0010x1111, x001x0111x, x001xx1110, 0001xx111x, x0011x111x}, x00x100xx1 \ {
   x001100x01, x000100x11, x00x100x11, x00x100111, 000x100xx1, x00x100xx1, x000100xx1}, x00011x001 \ {
   x000110001, 000011x001, x00011x001, x00011x001}}

{xx0xx \ {xx000, 1x0x1, x0011}}
{xx000 \ {01000, 1x000, x0000}, x000x \ {1000x, 00001}}
{
   xx000xx000 \ {
   xx000xx000, 01000xx000, 1x000xx000, x0000xx000}, x000xxx00x \ {
   x0001xx000, x0000xx001, x000xxx000, x000x1x001, 1000xxx00x, 00001xx00x}}

{x10x0 \ {01000, 010x0}}
{x1101 \ {11101, 01101}}
{}

{}
{xx100 \ {01100, 00100, x0100}}
{}

{1x011 \ {10011, 11011, 11011}}
{1x1x1 \ {1x101, 11101}, 10xx1 \ {10011, 10001}}
{
   1x1111x011 \ {
   1x11110011, 1x11111011, 1x11111011}, 10x111x011 \ {
   10x1110011, 10x1111011, 10x1111011, 100111x011}}

{x1xxx \ {x1111, 11x10, 111x0}, 101x1 \ {10111, 10101}}
{x111x \ {1111x, x1111, x1110}}
{
   x111xx1x1x \ {
   x1111x1x10, x1110x1x11, x111xx1111, x111x11x10, x111x11110, 1111xx1x1x, x1111x1x1x, x1110x1x1x}, x111110111 \ {
   x111110111, 1111110111, x111110111}}

{0xxx1 \ {0x111, 01001, 01011}}
{xx001 \ {0x001, x0001}, x011x \ {0011x, x0110, 00110}}
{
   xx0010xx01 \ {
   xx00101001, 0x0010xx01, x00010xx01}, x01110xx11 \ {
   x01110x111, x011101011, 001110xx11}}

{1x10x \ {1110x, 1010x, 1010x}}
{x1xxx \ {01x01, 11x0x, x110x}, 110xx \ {1101x, 11000, 110x0}}
{
   x1x0x1x10x \ {
   x1x011x100, x1x001x101, x1x0x1110x, x1x0x1010x, x1x0x1010x, 01x011x10x, 11x0x1x10x, x110x1x10x}, 1100x1x10x \ {
   110011x100, 110001x101, 1100x1110x, 1100x1010x, 1100x1010x, 110001x10x, 110001x10x}}

{x1110 \ {01110, 11110, 11110}}
{11x10 \ {11010, 11110, 11110}}
{
   11x10x1110 \ {
   11x1001110, 11x1011110, 11x1011110, 11010x1110, 11110x1110, 11110x1110}}

{1011x \ {10111}, x1xx0 \ {01010, x1110, x11x0}, 1xx01 \ {10101, 11001, 10x01}}
{}
{}

{010xx \ {010x1, 01011, 010x0}, x1x01 \ {x1101, 11101}}
{x10x0 \ {x1010, 11000, 11010}}
{
   x10x0010x0 \ {
   x101001000, x100001010, x10x0010x0, x1010010x0, 11000010x0, 11010010x0}}

{x1111 \ {11111, 01111, 01111}}
{00x10 \ {00010, 00110, 00110}, xx010 \ {00010, x0010, 11010}}
{}

{x1x10 \ {01110, 11110}}
{xx1xx \ {111xx, x010x, 1x100}, 0x1x1 \ {00111, 001x1, 001x1}, 1xx1x \ {1x010, 10010, 1001x}}
{
   xx110x1x10 \ {
   xx11001110, xx11011110, 11110x1x10}, 1xx10x1x10 \ {
   1xx1001110, 1xx1011110, 1x010x1x10, 10010x1x10, 10010x1x10}}

{xx111 \ {1x111, 01111, x0111}}
{x0xx0 \ {00xx0, 10110, x0x00}, 0x0xx \ {00001, 0100x, 01001}}
{
   0x011xx111 \ {
   0x0111x111, 0x01101111, 0x011x0111}}

{1xx00 \ {11x00, 10x00}, 11xx0 \ {11x00, 11100}}
{1x111 \ {10111, 11111}, 10xx0 \ {10000, 10100, 10010}}
{
   10x001xx00 \ {
   10x0011x00, 10x0010x00, 100001xx00, 101001xx00}, 10xx011xx0 \ {
   10x1011x00, 10x0011x10, 10xx011x00, 10xx011100, 1000011xx0, 1010011xx0, 1001011xx0}}

{01xx1 \ {01001, 01101, 01x11}, 1xxx0 \ {11x00, 1xx00, 10x10}}
{0100x \ {01000, 01001}}
{
   0100101x01 \ {
   0100101001, 0100101101, 0100101x01}, 010001xx00 \ {
   0100011x00, 010001xx00, 010001xx00}}

{0x01x \ {0x011, 01011}}
{01xx1 \ {010x1, 01x01, 01x11}}
{
   01x110x011 \ {
   01x110x011, 01x1101011, 010110x011, 01x110x011}}

{1x1x1 \ {10101, 1x101}, 010xx \ {010x0, 01000, 01000}}
{x01x1 \ {x0101, 00111}, 11x0x \ {11100, 11x01, 1100x}, 1x10x \ {1110x, 1x101, 11101}}
{
   x01x11x1x1 \ {
   x01111x101, x01011x111, x01x110101, x01x11x101, x01011x1x1, 001111x1x1}, 11x011x101 \ {
   11x0110101, 11x011x101, 11x011x101, 110011x101}, 1x1011x101 \ {
   1x10110101, 1x1011x101, 111011x101, 1x1011x101, 111011x101}, x01x1010x1 \ {
   x011101001, x010101011, x0101010x1, 00111010x1}, 11x0x0100x \ {
   11x0101000, 11x0001001, 11x0x01000, 11x0x01000, 11x0x01000, 111000100x, 11x010100x, 1100x0100x}, 1x10x0100x \ {
   1x10101000, 1x10001001, 1x10x01000, 1x10x01000, 1x10x01000, 1110x0100x, 1x1010100x, 111010100x}}

{}
{x0111 \ {00111}}
{}

{xx011 \ {11011, 01011, 0x011}, 001x1 \ {00111}}
{x1x01 \ {11001, 01x01, 11101}, 10xx1 \ {10001, 10111, 10x01}}
{
   10x11xx011 \ {
   10x1111011, 10x1101011, 10x110x011, 10111xx011}, x1x0100101 \ {
   1100100101, 01x0100101, 1110100101}, 10xx1001x1 \ {
   10x1100101, 10x0100111, 10xx100111, 10001001x1, 10111001x1, 10x01001x1}}

{}
{xxxxx \ {011x1, x0x0x, 00x00}, x11x1 \ {01111}, 000x0 \ {00000}}
{}

{xx011 \ {00011, 11011, 01011}, x01xx \ {x01x1, x01x0, 101x0}}
{}
{}

{x0xx0 \ {x0100, 00xx0}, x11x0 \ {01110, 011x0, 011x0}}
{x0x10 \ {00010, 00110, x0110}, x1011 \ {11011, 01011, 01011}, 1111x \ {11110, 11111, 11111}}
{
   x0x10x0x10 \ {
   x0x1000x10, 00010x0x10, 00110x0x10, x0110x0x10}, 11110x0x10 \ {
   1111000x10, 11110x0x10}, x0x10x1110 \ {
   x0x1001110, x0x1001110, x0x1001110, 00010x1110, 00110x1110, x0110x1110}, 11110x1110 \ {
   1111001110, 1111001110, 1111001110, 11110x1110}}

{1xx1x \ {10x1x, 10x11, 1111x}, 0xx01 \ {01x01, 00101, 00001}}
{xxxx1 \ {10xx1, 1x0x1, x1x01}, x10xx \ {x100x, x10x1, 01011}, x0101 \ {10101, 00101}}
{
   xxx111xx11 \ {
   xxx1110x11, xxx1110x11, xxx1111111, 10x111xx11, 1x0111xx11}, x101x1xx1x \ {
   x10111xx10, x10101xx11, x101x10x1x, x101x10x11, x101x1111x, x10111xx1x, 010111xx1x}, xxx010xx01 \ {
   xxx0101x01, xxx0100101, xxx0100001, 10x010xx01, 1x0010xx01, x1x010xx01}, x10010xx01 \ {
   x100101x01, x100100101, x100100001, x10010xx01, x10010xx01}, x01010xx01 \ {
   x010101x01, x010100101, x010100001, 101010xx01, 001010xx01}}

{000xx \ {00011, 0000x, 00001}}
{1xxxx \ {1x110, 10x0x, 1xx01}, x11xx \ {111xx, 0110x, 11100}, 10xxx \ {1000x, 10000, 101xx}}
{
   1xxxx000xx \ {
   1xxx1000x0, 1xxx0000x1, 1xx1x0000x, 1xx0x0001x, 1xxxx00011, 1xxxx0000x, 1xxxx00001, 1x110000xx, 10x0x000xx, 1xx01000xx}, x11xx000xx \ {
   x11x1000x0, x11x0000x1, x111x0000x, x110x0001x, x11xx00011, x11xx0000x, x11xx00001, 111xx000xx, 0110x000xx, 11100000xx}, 10xxx000xx \ {
   10xx1000x0, 10xx0000x1, 10x1x0000x, 10x0x0001x, 10xxx00011, 10xxx0000x, 10xxx00001, 1000x000xx, 10000000xx, 101xx000xx}}

{}
{x010x \ {10100, 00101, 0010x}}
{}

{xxxx0 \ {100x0, 011x0, 11000}}
{xx0x0 \ {xx000, 1x010}, 0xxx1 \ {0xx01, 00xx1, 001x1}, 0x01x \ {0101x, 01010}}
{
   xx0x0xxxx0 \ {
   xx010xxx00, xx000xxx10, xx0x0100x0, xx0x0011x0, xx0x011000, xx000xxxx0, 1x010xxxx0}, 0x010xxx10 \ {
   0x01010010, 0x01001110, 01010xxx10, 01010xxx10}}

{1x111 \ {11111, 10111}}
{0x01x \ {01010, 01011}, 100xx \ {10010, 100x0, 1001x}, x11x0 \ {11110, 01110}}
{
   0x0111x111 \ {
   0x01111111, 0x01110111, 010111x111}, 100111x111 \ {
   1001111111, 1001110111, 100111x111}}

{x11x1 \ {111x1, 11101, 01101}}
{}
{}

{0x1x0 \ {011x0, 0x100, 0x100}, 1xxx0 \ {1x100, 1x0x0}}
{xx101 \ {1x101, 11101}, 1xx00 \ {10x00, 1x000, 11x00}, x110x \ {0110x, 01101, 11100}}
{
   1xx000x100 \ {
   1xx0001100, 1xx000x100, 1xx000x100, 10x000x100, 1x0000x100, 11x000x100}, x11000x100 \ {
   x110001100, x11000x100, x11000x100, 011000x100, 111000x100}, 1xx001xx00 \ {
   1xx001x100, 1xx001x000, 10x001xx00, 1x0001xx00, 11x001xx00}, x11001xx00 \ {
   x11001x100, x11001x000, 011001xx00, 111001xx00}}

{x0xx1 \ {x01x1, 00001, 00xx1}, 101xx \ {1010x, 101x0, 10111}}
{11x1x \ {1101x, 11111, 11011}, x11x1 \ {x1101, x1111}}
{
   11x11x0x11 \ {
   11x11x0111, 11x1100x11, 11011x0x11, 11111x0x11, 11011x0x11}, x11x1x0xx1 \ {
   x1111x0x01, x1101x0x11, x11x1x01x1, x11x100001, x11x100xx1, x1101x0xx1, x1111x0xx1}, 11x1x1011x \ {
   11x1110110, 11x1010111, 11x1x10110, 11x1x10111, 1101x1011x, 111111011x, 110111011x}, x11x1101x1 \ {
   x111110101, x110110111, x11x110101, x11x110111, x1101101x1, x1111101x1}}

{x0xx0 \ {000x0, 001x0, 00010}, x011x \ {00110, 1011x, 1011x}}
{}
{}

{x1100 \ {11100}, xx110 \ {x1110, 1x110}}
{x1xx0 \ {01010, 11010, x1110}, x111x \ {11110, x1111}}
{
   x1x00x1100 \ {
   x1x0011100}, x1x10xx110 \ {
   x1x10x1110, x1x101x110, 01010xx110, 11010xx110, x1110xx110}, x1110xx110 \ {
   x1110x1110, x11101x110, 11110xx110}}

{1x1x1 \ {10101, 11101, 101x1}}
{xx111 \ {0x111, 10111}, 0xxx1 \ {0x111, 001x1, 01101}, xxx01 \ {01x01, 0xx01, 11001}}
{
   xx1111x111 \ {
   xx11110111, 0x1111x111, 101111x111}, 0xxx11x1x1 \ {
   0xx111x101, 0xx011x111, 0xxx110101, 0xxx111101, 0xxx1101x1, 0x1111x1x1, 001x11x1x1, 011011x1x1}, xxx011x101 \ {
   xxx0110101, xxx0111101, xxx0110101, 01x011x101, 0xx011x101, 110011x101}}

{xxx10 \ {xx010, x1110, 11010}}
{xx1x0 \ {00110, x0110, x1110}}
{
   xx110xxx10 \ {
   xx110xx010, xx110x1110, xx11011010, 00110xxx10, x0110xxx10, x1110xxx10}}

{xxx01 \ {11001, 00x01, 10001}}
{00xxx \ {00x01, 0000x, 001x0}}
{
   00x01xxx01 \ {
   00x0111001, 00x0100x01, 00x0110001, 00x01xxx01, 00001xxx01}}

{x00x0 \ {00000, x0010, 00010}, xx110 \ {10110, 1x110, 00110}, 10xx0 \ {10100, 10x00, 10010}}
{}
{}

{10xx1 \ {10001, 10101, 10101}, 10x1x \ {10011, 10111, 10x10}, 10x1x \ {10010, 1011x}}
{01xx0 \ {011x0, 01x10}, 0x000 \ {00000, 01000, 01000}}
{
   01x1010x10 \ {
   01x1010x10, 0111010x10, 01x1010x10}}

{11xx0 \ {11x10, 11100, 11010}}
{}
{}

{}
{x0x01 \ {x0101, 00101, 10x01}, 11x1x \ {11011, 1101x, 11110}, 01xx1 \ {01011, 01111, 010x1}}
{}

{xx10x \ {1010x, 10100, 11100}, 101x0 \ {10110, 10100}, xx100 \ {10100, x1100, 00100}}
{xxxx1 \ {110x1, x1111, x1011}, xx100 \ {00100, x1100, x0100}}
{
   xxx01xx101 \ {
   xxx0110101, 11001xx101}, xx100xx100 \ {
   xx10010100, xx10010100, xx10011100, 00100xx100, x1100xx100, x0100xx100}, xx10010100 \ {
   xx10010100, 0010010100, x110010100, x010010100}}

{0xxx1 \ {010x1, 00xx1, 01x11}}
{x111x \ {11110, x1111, 01110}}
{
   x11110xx11 \ {
   x111101011, x111100x11, x111101x11, x11110xx11}}

{x001x \ {00011, 10011, x0011}}
{}
{}

{1001x \ {10011, 10010}, 01xxx \ {0101x, 011xx, 01x00}}
{x11x0 \ {01100, x1100, 01110}, x11x1 \ {011x1, 111x1, 111x1}}
{
   x111010010 \ {
   x111010010, 0111010010}, x111110011 \ {
   x111110011, 0111110011, 1111110011, 1111110011}, x11x001xx0 \ {
   x111001x00, x110001x10, x11x001010, x11x0011x0, x11x001x00, 0110001xx0, x110001xx0, 0111001xx0}, x11x101xx1 \ {
   x111101x01, x110101x11, x11x101011, x11x1011x1, 011x101xx1, 111x101xx1, 111x101xx1}}

{01x1x \ {01011, 01x11}, 1x00x \ {1x001, 1x000, 10001}}
{000x1 \ {00011}}
{
   0001101x11 \ {
   0001101011, 0001101x11, 0001101x11}, 000011x001 \ {
   000011x001, 0000110001}}

{00x1x \ {00011, 00110}, 0xx01 \ {0x001, 01101, 01101}}
{x011x \ {00110, x0110}}
{
   x011x00x1x \ {
   x011100x10, x011000x11, x011x00011, x011x00110, 0011000x1x, x011000x1x}}

{110xx \ {11010, 110x1, 110x0}, 10xx0 \ {10000, 10110, 101x0}}
{0x1x0 \ {01110, 011x0}}
{
   0x1x0110x0 \ {
   0x11011000, 0x10011010, 0x1x011010, 0x1x0110x0, 01110110x0, 011x0110x0}, 0x1x010xx0 \ {
   0x11010x00, 0x10010x10, 0x1x010000, 0x1x010110, 0x1x0101x0, 0111010xx0, 011x010xx0}}

{11x0x \ {11100, 1110x, 11001}, 10xx0 \ {101x0, 10110, 10100}, 000xx \ {000x0, 00010, 00000}}
{x0xx0 \ {00110, x00x0, x0x00}}
{
   x0x0011x00 \ {
   x0x0011100, x0x0011100, x000011x00, x0x0011x00}, x0xx010xx0 \ {
   x0x1010x00, x0x0010x10, x0xx0101x0, x0xx010110, x0xx010100, 0011010xx0, x00x010xx0, x0x0010xx0}, x0xx0000x0 \ {
   x0x1000000, x0x0000010, x0xx0000x0, x0xx000010, x0xx000000, 00110000x0, x00x0000x0, x0x00000x0}}

{x00x0 \ {100x0, 10000}, 0x0x1 \ {00001}}
{xx0xx \ {000xx, xx010, 1x010}, x00xx \ {x0000, x00x0, 00011}}
{
   xx0x0x00x0 \ {
   xx010x0000, xx000x0010, xx0x0100x0, xx0x010000, 000x0x00x0, xx010x00x0, 1x010x00x0}, x00x0x00x0 \ {
   x0010x0000, x0000x0010, x00x0100x0, x00x010000, x0000x00x0, x00x0x00x0}, xx0x10x0x1 \ {
   xx0110x001, xx0010x011, xx0x100001, 000x10x0x1}, x00x10x0x1 \ {
   x00110x001, x00010x011, x00x100001, 000110x0x1}}

{xxx01 \ {01001, 00001, 10001}}
{x01xx \ {10100, 0010x, 001x0}, x101x \ {x1010, 01010, 11011}}
{
   x0101xxx01 \ {
   x010101001, x010100001, x010110001, 00101xxx01}}

{100x1 \ {10001}}
{0x1x0 \ {001x0, 01100, 0x100}, x10x1 \ {11001, x1001, x1011}}
{
   x10x1100x1 \ {
   x101110001, x100110011, x10x110001, 11001100x1, x1001100x1, x1011100x1}}

{xx101 \ {1x101, 01101, x1101}, 0xx11 \ {00011, 01111}}
{00xx1 \ {00111, 00x11}, 011x1 \ {01111}}
{
   00x01xx101 \ {
   00x011x101, 00x0101101, 00x01x1101}, 01101xx101 \ {
   011011x101, 0110101101, 01101x1101}, 00x110xx11 \ {
   00x1100011, 00x1101111, 001110xx11, 00x110xx11}, 011110xx11 \ {
   0111100011, 0111101111, 011110xx11}}

{}
{1x100 \ {10100, 11100}, xx01x \ {11011, 10010, xx011}}
{}

{0001x \ {00011, 00010}}
{00xxx \ {00010, 0011x, 0011x}, xx1x1 \ {1x111, xx111, 1x1x1}}
{
   00x1x0001x \ {
   00x1100010, 00x1000011, 00x1x00011, 00x1x00010, 000100001x, 0011x0001x, 0011x0001x}, xx11100011 \ {
   xx11100011, 1x11100011, xx11100011, 1x11100011}}

{xx100 \ {11100, x0100, 0x100}, 00xxx \ {00100, 00000}}
{xxx11 \ {x1x11, x1111, 0xx11}, x110x \ {01101, x1101, 0110x}}
{
   x1100xx100 \ {
   x110011100, x1100x0100, x11000x100, 01100xx100}, xxx1100x11 \ {
   x1x1100x11, x111100x11, 0xx1100x11}, x110x00x0x \ {
   x110100x00, x110000x01, x110x00100, x110x00000, 0110100x0x, x110100x0x, 0110x00x0x}}

{x11x0 \ {01100, 111x0}, x1111 \ {11111, 01111}, xxx00 \ {1xx00, 01100}}
{1xx01 \ {10001, 11101, 1x101}}
{}

{x0100 \ {10100, 00100, 00100}}
{000x0 \ {00000, 00010}}
{
   00000x0100 \ {
   0000010100, 0000000100, 0000000100, 00000x0100}}

{0x0x1 \ {000x1, 0x011, 010x1}}
{1x0x1 \ {100x1, 11011, 1x011}, xx10x \ {x0101, x1100, 11101}}
{
   1x0x10x0x1 \ {
   1x0110x001, 1x0010x011, 1x0x1000x1, 1x0x10x011, 1x0x1010x1, 100x10x0x1, 110110x0x1, 1x0110x0x1}, xx1010x001 \ {
   xx10100001, xx10101001, x01010x001, 111010x001}}

{}
{0x11x \ {0011x, 00110, 00111}, 001x0 \ {00110, 00100, 00100}}
{}

{}
{xxx10 \ {01010, 1xx10}, 0x11x \ {0011x, 00111, 0111x}}
{}

{}
{1101x \ {11011}, 1xx10 \ {1x010, 1x110, 11010}}
{}

{}
{xxx11 \ {1xx11, 0x011, xx011}, 10x0x \ {1000x, 10100, 10001}, 00x1x \ {00x11, 00011, 00010}}
{}

{1x01x \ {11010, 1x011}, 1x0xx \ {1x001, 1x010, 1x0x1}}
{}
{}

{xx00x \ {0x000, 0x00x, 00000}}
{xx010 \ {00010, 0x010, 0x010}, 011xx \ {0110x, 01111, 0111x}}
{
   0110xxx00x \ {
   01101xx000, 01100xx001, 0110x0x000, 0110x0x00x, 0110x00000, 0110xxx00x}}

{xx1x1 \ {x1101, 1x111, 0x101}, xxx00 \ {x1000, x1100, 01x00}}
{1xx01 \ {11x01, 1x101, 11001}, 0x010 \ {01010, 00010}, 10x0x \ {10100, 10x01}}
{
   1xx01xx101 \ {
   1xx01x1101, 1xx010x101, 11x01xx101, 1x101xx101, 11001xx101}, 10x01xx101 \ {
   10x01x1101, 10x010x101, 10x01xx101}, 10x00xxx00 \ {
   10x00x1000, 10x00x1100, 10x0001x00, 10100xxx00}}

{0xx00 \ {01000, 00100, 0x100}}
{x1x01 \ {x1101, 01x01}}
{}

{1xx00 \ {10100, 11100, 10x00}, xx01x \ {1001x, x0011, 00010}}
{01xx0 \ {01100, 01010, 01x00}, 11x1x \ {1111x, 11011, 11010}}
{
   01x001xx00 \ {
   01x0010100, 01x0011100, 01x0010x00, 011001xx00, 01x001xx00}, 01x10xx010 \ {
   01x1010010, 01x1000010, 01010xx010}, 11x1xxx01x \ {
   11x11xx010, 11x10xx011, 11x1x1001x, 11x1xx0011, 11x1x00010, 1111xxx01x, 11011xx01x, 11010xx01x}}

{010x0 \ {01000, 01010, 01010}, xx10x \ {1010x, 0x10x, x110x}, x11xx \ {x110x, x11x0, x1110}}
{x1xx0 \ {011x0, 01010, 01010}}
{
   x1xx0010x0 \ {
   x1x1001000, x1x0001010, x1xx001000, x1xx001010, x1xx001010, 011x0010x0, 01010010x0, 01010010x0}, x1x00xx100 \ {
   x1x0010100, x1x000x100, x1x00x1100, 01100xx100}, x1xx0x11x0 \ {
   x1x10x1100, x1x00x1110, x1xx0x1100, x1xx0x11x0, x1xx0x1110, 011x0x11x0, 01010x11x0, 01010x11x0}}

{x10x0 \ {010x0, 110x0, 11000}, x0x1x \ {00x10, x001x, 00011}}
{xx0x0 \ {x10x0, xx000, 1x010}}
{
   xx0x0x10x0 \ {
   xx010x1000, xx000x1010, xx0x0010x0, xx0x0110x0, xx0x011000, x10x0x10x0, xx000x10x0, 1x010x10x0}, xx010x0x10 \ {
   xx01000x10, xx010x0010, x1010x0x10, 1x010x0x10}}

{xxx11 \ {01011, 10x11, 1x111}, 10xx1 \ {10x11, 101x1}, x00x1 \ {10011, 00011}}
{1x11x \ {10111, 1x111, 10110}, 1xx11 \ {10111, 11111, 1x111}}
{
   1x111xxx11 \ {
   1x11101011, 1x11110x11, 1x1111x111, 10111xxx11, 1x111xxx11}, 1xx11xxx11 \ {
   1xx1101011, 1xx1110x11, 1xx111x111, 10111xxx11, 11111xxx11, 1x111xxx11}, 1x11110x11 \ {
   1x11110x11, 1x11110111, 1011110x11, 1x11110x11}, 1xx1110x11 \ {
   1xx1110x11, 1xx1110111, 1011110x11, 1111110x11, 1x11110x11}, 1x111x0011 \ {
   1x11110011, 1x11100011, 10111x0011, 1x111x0011}, 1xx11x0011 \ {
   1xx1110011, 1xx1100011, 10111x0011, 11111x0011, 1x111x0011}}

{xx1x0 \ {1x110, x0100, xx100}}
{xx0x0 \ {x00x0, x1010, 110x0}}
{
   xx0x0xx1x0 \ {
   xx010xx100, xx000xx110, xx0x01x110, xx0x0x0100, xx0x0xx100, x00x0xx1x0, x1010xx1x0, 110x0xx1x0}}

{1xxx1 \ {10x11, 10111, 10x01}, 1110x \ {11101, 11100, 11100}}
{xx010 \ {x1010, 01010}}
{}

{}
{11x01 \ {11101, 11001, 11001}}
{}

{1xx0x \ {1x00x, 1110x, 11000}}
{}
{}

{xx10x \ {x110x, 00100, 0010x}, 11x0x \ {11000, 11100, 1100x}}
{01xxx \ {010xx, 01010, 0111x}}
{
   01x0xxx10x \ {
   01x01xx100, 01x00xx101, 01x0xx110x, 01x0x00100, 01x0x0010x, 0100xxx10x}, 01x0x11x0x \ {
   01x0111x00, 01x0011x01, 01x0x11000, 01x0x11100, 01x0x1100x, 0100x11x0x}}

{}
{0x0x0 \ {0x000, 00000, 010x0}, x0x00 \ {00x00, 10x00, 10x00}, xxxx0 \ {x0x10, 01110, 100x0}}
{}

{01x00 \ {01100}}
{xxx1x \ {x1x1x, xxx11, 00x10}}
{}

{0x1xx \ {0x11x, 0x110, 0x111}, 1xxx1 \ {11x11, 11x01, 10101}}
{10xxx \ {10111, 10x00, 10x01}, x10xx \ {1100x, x1011, 010xx}, 011x1 \ {01101}}
{
   10xxx0x1xx \ {
   10xx10x1x0, 10xx00x1x1, 10x1x0x10x, 10x0x0x11x, 10xxx0x11x, 10xxx0x110, 10xxx0x111, 101110x1xx, 10x000x1xx, 10x010x1xx}, x10xx0x1xx \ {
   x10x10x1x0, x10x00x1x1, x101x0x10x, x100x0x11x, x10xx0x11x, x10xx0x110, x10xx0x111, 1100x0x1xx, x10110x1xx, 010xx0x1xx}, 011x10x1x1 \ {
   011110x101, 011010x111, 011x10x111, 011x10x111, 011010x1x1}, 10xx11xxx1 \ {
   10x111xx01, 10x011xx11, 10xx111x11, 10xx111x01, 10xx110101, 101111xxx1, 10x011xxx1}, x10x11xxx1 \ {
   x10111xx01, x10011xx11, x10x111x11, x10x111x01, x10x110101, 110011xxx1, x10111xxx1, 010x11xxx1}, 011x11xxx1 \ {
   011111xx01, 011011xx11, 011x111x11, 011x111x01, 011x110101, 011011xxx1}}

{x1111 \ {11111, 01111}, 1x101 \ {10101}}
{1xx11 \ {10x11, 10011, 1x011}, x11x1 \ {01111, 111x1, 11101}, 10x0x \ {1010x, 10000, 10x01}}
{
   1xx11x1111 \ {
   1xx1111111, 1xx1101111, 10x11x1111, 10011x1111, 1x011x1111}, x1111x1111 \ {
   x111111111, x111101111, 01111x1111, 11111x1111}, x11011x101 \ {
   x110110101, 111011x101, 111011x101}, 10x011x101 \ {
   10x0110101, 101011x101, 10x011x101}}

{0xx0x \ {01101, 01x0x, 01x00}}
{x00x1 \ {00001, 000x1, x0011}, x01x0 \ {00100, x0110}}
{
   x00010xx01 \ {
   x000101101, x000101x01, 000010xx01, 000010xx01}, x01000xx00 \ {
   x010001x00, x010001x00, 001000xx00}}

{1x1xx \ {111x0, 10101, 11111}}
{x1xx1 \ {011x1, 01x11, x1x01}, x1x1x \ {01110, 11111, 0101x}, 1xxxx \ {1001x, 10010, 11x01}}
{
   x1xx11x1x1 \ {
   x1x111x101, x1x011x111, x1xx110101, x1xx111111, 011x11x1x1, 01x111x1x1, x1x011x1x1}, x1x1x1x11x \ {
   x1x111x110, x1x101x111, x1x1x11110, x1x1x11111, 011101x11x, 111111x11x, 0101x1x11x}, 1xxxx1x1xx \ {
   1xxx11x1x0, 1xxx01x1x1, 1xx1x1x10x, 1xx0x1x11x, 1xxxx111x0, 1xxxx10101, 1xxxx11111, 1001x1x1xx, 100101x1xx, 11x011x1xx}}

{1xxx1 \ {10111, 1x101, 1xx01}}
{110x1 \ {11011}, x0x01 \ {10101, 00001, 00001}}
{
   110x11xxx1 \ {
   110111xx01, 110011xx11, 110x110111, 110x11x101, 110x11xx01, 110111xxx1}, x0x011xx01 \ {
   x0x011x101, x0x011xx01, 101011xx01, 000011xx01, 000011xx01}}

{}
{0x100 \ {01100}, xx11x \ {11110, 0x110, xx111}}
{}

{x110x \ {01100, x1101, 1110x}}
{xxx0x \ {0010x, 0x001, 01100}}
{
   xxx0xx110x \ {
   xxx01x1100, xxx00x1101, xxx0x01100, xxx0xx1101, xxx0x1110x, 0010xx110x, 0x001x110x, 01100x110x}}

{xxx0x \ {0x101, 11x01, x0x0x}, 1xx00 \ {11000, 10000, 1x100}, x1010 \ {11010}}
{}
{}

{}
{10x0x \ {10100, 1000x, 10x01}}
{}

{10x0x \ {10100, 1010x}}
{x1xx1 \ {x1x11, 01111, x1111}, 00x11 \ {00011}}
{
   x1x0110x01 \ {
   x1x0110101}}

{0xxx1 \ {01x01, 000x1, 01x11}, xx11x \ {x1110, 10111, 1x11x}}
{1x11x \ {1x111, 11110, 1111x}, 110x0 \ {11010}}
{
   1x1110xx11 \ {
   1x11100011, 1x11101x11, 1x1110xx11, 111110xx11}, 1x11xxx11x \ {
   1x111xx110, 1x110xx111, 1x11xx1110, 1x11x10111, 1x11x1x11x, 1x111xx11x, 11110xx11x, 1111xxx11x}, 11010xx110 \ {
   11010x1110, 110101x110, 11010xx110}}

{xx0x0 \ {01010, 110x0, 000x0}, x1x0x \ {01x01, 01x00, x1000}, 10xx1 \ {10001, 10101, 10101}}
{001x0 \ {00110, 00100}}
{
   001x0xx0x0 \ {
   00110xx000, 00100xx010, 001x001010, 001x0110x0, 001x0000x0, 00110xx0x0, 00100xx0x0}, 00100x1x00 \ {
   0010001x00, 00100x1000, 00100x1x00}}

{}
{00xx1 \ {00001, 00x01, 00101}, x0xx1 \ {00xx1, x0x01}}
{}

{x11x1 \ {01101, 11111}}
{10xx1 \ {10101, 10x01, 10001}, 101x1 \ {10111, 10101}, x0x11 \ {x0111, x0011, x0011}}
{
   10xx1x11x1 \ {
   10x11x1101, 10x01x1111, 10xx101101, 10xx111111, 10101x11x1, 10x01x11x1, 10001x11x1}, 101x1x11x1 \ {
   10111x1101, 10101x1111, 101x101101, 101x111111, 10111x11x1, 10101x11x1}, x0x11x1111 \ {
   x0x1111111, x0111x1111, x0011x1111, x0011x1111}}

{1x1xx \ {111xx, 101x0, 1x11x}, x101x \ {0101x, x1010, 11010}, 0xxx0 \ {0xx10, 00000, 00x00}}
{10x11 \ {10011}, x010x \ {10100, 0010x}, 00xxx \ {00x01, 00xx1, 00101}}
{
   10x111x111 \ {
   10x1111111, 10x111x111, 100111x111}, x010x1x10x \ {
   x01011x100, x01001x101, x010x1110x, x010x10100, 101001x10x, 0010x1x10x}, 00xxx1x1xx \ {
   00xx11x1x0, 00xx01x1x1, 00x1x1x10x, 00x0x1x11x, 00xxx111xx, 00xxx101x0, 00xxx1x11x, 00x011x1xx, 00xx11x1xx, 001011x1xx}, 10x11x1011 \ {
   10x1101011, 10011x1011}, 00x1xx101x \ {
   00x11x1010, 00x10x1011, 00x1x0101x, 00x1xx1010, 00x1x11010, 00x11x101x}, x01000xx00 \ {
   x010000000, x010000x00, 101000xx00, 001000xx00}, 00xx00xxx0 \ {
   00x100xx00, 00x000xx10, 00xx00xx10, 00xx000000, 00xx000x00}}

{xxx1x \ {01x11, 00010, x0x1x}}
{x1110 \ {01110, 11110}}
{
   x1110xxx10 \ {
   x111000010, x1110x0x10, 01110xxx10, 11110xxx10}}

{x0x10 \ {10110, 00010, 10010}, x001x \ {x0010, 00011, 10010}, 0xx1x \ {0011x, 0xx10, 00010}}
{11x0x \ {11x00, 11100}, 01x1x \ {01011, 01010, 0111x}}
{
   01x10x0x10 \ {
   01x1010110, 01x1000010, 01x1010010, 01010x0x10, 01110x0x10}, 01x1xx001x \ {
   01x11x0010, 01x10x0011, 01x1xx0010, 01x1x00011, 01x1x10010, 01011x001x, 01010x001x, 0111xx001x}, 01x1x0xx1x \ {
   01x110xx10, 01x100xx11, 01x1x0011x, 01x1x0xx10, 01x1x00010, 010110xx1x, 010100xx1x, 0111x0xx1x}}

{}
{x0x01 \ {10x01, 00x01, x0101}, 01xx0 \ {01000, 010x0, 01110}}
{}

{0x1x0 \ {01100, 00100, 01110}, xxx11 \ {01111, x1x11, 0x011}}
{}
{}

{}
{}
{}

{0xx1x \ {01010, 0xx11, 01110}, 0x1xx \ {01110, 001x0, 0x110}}
{010x0 \ {01010}}
{
   010100xx10 \ {
   0101001010, 0101001110, 010100xx10}, 010x00x1x0 \ {
   010100x100, 010000x110, 010x001110, 010x0001x0, 010x00x110, 010100x1x0}}

{11xxx \ {111x1, 11101}}
{}
{}

{xx000 \ {01000, x0000, 10000}}
{x000x \ {00001, x0001, x0001}}
{
   x0000xx000 \ {
   x000001000, x0000x0000, x000010000}}

{00x1x \ {0001x, 00x11, 0011x}, xxx10 \ {0xx10, 0x010, 1xx10}}
{0xxx1 \ {010x1, 01111, 00xx1}, 1xx01 \ {11x01, 10101, 10001}, 00x1x \ {00111, 0001x, 00x10}}
{
   0xx1100x11 \ {
   0xx1100011, 0xx1100x11, 0xx1100111, 0101100x11, 0111100x11, 00x1100x11}, 00x1x00x1x \ {
   00x1100x10, 00x1000x11, 00x1x0001x, 00x1x00x11, 00x1x0011x, 0011100x1x, 0001x00x1x, 00x1000x1x}, 00x10xxx10 \ {
   00x100xx10, 00x100x010, 00x101xx10, 00010xxx10, 00x10xxx10}}

{1x1xx \ {10101, 1011x, 1x1x0}, 001xx \ {0010x, 0011x, 001x0}}
{01xxx \ {010x1, 011x1}, 10x11 \ {10011, 10111, 10111}}
{
   01xxx1x1xx \ {
   01xx11x1x0, 01xx01x1x1, 01x1x1x10x, 01x0x1x11x, 01xxx10101, 01xxx1011x, 01xxx1x1x0, 010x11x1xx, 011x11x1xx}, 10x111x111 \ {
   10x1110111, 100111x111, 101111x111, 101111x111}, 01xxx001xx \ {
   01xx1001x0, 01xx0001x1, 01x1x0010x, 01x0x0011x, 01xxx0010x, 01xxx0011x, 01xxx001x0, 010x1001xx, 011x1001xx}, 10x1100111 \ {
   10x1100111, 1001100111, 1011100111, 1011100111}}

{010xx \ {01011, 01010, 0100x}, x1xx0 \ {11010, 01010, x1000}, 1x110 \ {11110, 10110}}
{}
{}

{0x100 \ {01100}, 0x100 \ {01100, 00100}, 00x11 \ {00111, 00011}}
{101xx \ {10110, 10100, 10111}, xxx0x \ {1x101, x1001, x010x}, x10x0 \ {01000, 110x0, 010x0}}
{
   101000x100 \ {
   1010001100, 101000x100}, xxx000x100 \ {
   xxx0001100, x01000x100}, x10000x100 \ {
   x100001100, 010000x100, 110000x100, 010000x100}, 1011100x11 \ {
   1011100111, 1011100011, 1011100x11}}

{}
{0xx00 \ {00x00, 00100}, x01x1 \ {101x1, 10101, 001x1}}
{}

{1xx11 \ {11011, 10x11, 11111}}
{10x01 \ {10101, 10001}, xxx1x \ {10110, 00x11, 1x111}}
{
   xxx111xx11 \ {
   xxx1111011, xxx1110x11, xxx1111111, 00x111xx11, 1x1111xx11}}

{0x000 \ {01000, 00000}, 0x1x0 \ {0x110, 0x100, 01100}}
{}
{}

{xx0x1 \ {00011, 11011, 000x1}}
{xxx10 \ {11010, 0xx10, 0xx10}, 1x0x1 \ {11011, 110x1, 10001}, 0011x \ {00110, 00111}}
{
   1x0x1xx0x1 \ {
   1x011xx001, 1x001xx011, 1x0x100011, 1x0x111011, 1x0x1000x1, 11011xx0x1, 110x1xx0x1, 10001xx0x1}, 00111xx011 \ {
   0011100011, 0011111011, 0011100011, 00111xx011}}

{x0xxx \ {10011, x001x, x00x0}}
{1x010 \ {11010, 10010, 10010}, x1x1x \ {11010, x1110, x1110}}
{
   1x010x0x10 \ {
   1x010x0010, 1x010x0010, 11010x0x10, 10010x0x10, 10010x0x10}, x1x1xx0x1x \ {
   x1x11x0x10, x1x10x0x11, x1x1x10011, x1x1xx001x, x1x1xx0010, 11010x0x1x, x1110x0x1x, x1110x0x1x}}

{10xx1 \ {100x1, 10101, 10001}, 11x0x \ {11001, 11000, 1110x}, x111x \ {x1111, 11110}}
{0x1x0 \ {01100, 0x110, 011x0}, x10x1 \ {11011, 010x1, x1001}}
{
   x10x110xx1 \ {
   x101110x01, x100110x11, x10x1100x1, x10x110101, x10x110001, 1101110xx1, 010x110xx1, x100110xx1}, 0x10011x00 \ {
   0x10011000, 0x10011100, 0110011x00, 0110011x00}, x100111x01 \ {
   x100111001, x100111101, 0100111x01, x100111x01}, 0x110x1110 \ {
   0x11011110, 0x110x1110, 01110x1110}, x1011x1111 \ {
   x1011x1111, 11011x1111, 01011x1111}}

{1x1xx \ {111xx, 1x1x1, 10111}}
{xxxxx \ {x0x10, 001x0, x01x0}}
{
   xxxxx1x1xx \ {
   xxxx11x1x0, xxxx01x1x1, xxx1x1x10x, xxx0x1x11x, xxxxx111xx, xxxxx1x1x1, xxxxx10111, x0x101x1xx, 001x01x1xx, x01x01x1xx}}

{0xx10 \ {01010, 0x110}}
{xxxxx \ {01x0x, 111x0, 11000}}
{
   xxx100xx10 \ {
   xxx1001010, xxx100x110, 111100xx10}}

{100xx \ {10011, 1001x, 100x1}, x01x0 \ {x0100, 001x0, 00100}}
{1x10x \ {11100, 10100, 1010x}, x111x \ {x1111, 1111x, 01110}, x1x11 \ {01011, x1011, 11011}}
{
   1x10x1000x \ {
   1x10110000, 1x10010001, 1x10x10001, 111001000x, 101001000x, 1010x1000x}, x111x1001x \ {
   x111110010, x111010011, x111x10011, x111x1001x, x111x10011, x11111001x, 1111x1001x, 011101001x}, x1x1110011 \ {
   x1x1110011, x1x1110011, x1x1110011, 0101110011, x101110011, 1101110011}, 1x100x0100 \ {
   1x100x0100, 1x10000100, 1x10000100, 11100x0100, 10100x0100, 10100x0100}, x1110x0110 \ {
   x111000110, 11110x0110, 01110x0110}}

{xxx1x \ {11x1x, 00x11, 0x110}, 100xx \ {10010, 10001, 10000}}
{xxxx0 \ {11100, 11x00, 01xx0}, xxx0x \ {01x00, 1010x, x1000}}
{
   xxx10xxx10 \ {
   xxx1011x10, xxx100x110, 01x10xxx10}, xxxx0100x0 \ {
   xxx1010000, xxx0010010, xxxx010010, xxxx010000, 11100100x0, 11x00100x0, 01xx0100x0}, xxx0x1000x \ {
   xxx0110000, xxx0010001, xxx0x10001, xxx0x10000, 01x001000x, 1010x1000x, x10001000x}}

{}
{1x10x \ {11100, 1010x, 1010x}, 10x11 \ {10111}}
{}

{x01x1 \ {x0111, 101x1, 10101}, 1xxx0 \ {1x000, 1xx00, 11xx0}}
{0xxx0 \ {011x0, 0x0x0, 00000}}
{
   0xxx01xxx0 \ {
   0xx101xx00, 0xx001xx10, 0xxx01x000, 0xxx01xx00, 0xxx011xx0, 011x01xxx0, 0x0x01xxx0, 000001xxx0}}

{0011x \ {00111, 00110}, 11x0x \ {1100x, 11x00, 11x00}}
{1110x \ {11100, 11101, 11101}, 1x0xx \ {110x1, 1x000, 1x000}}
{
   1x01x0011x \ {
   1x01100110, 1x01000111, 1x01x00111, 1x01x00110, 110110011x}, 1110x11x0x \ {
   1110111x00, 1110011x01, 1110x1100x, 1110x11x00, 1110x11x00, 1110011x0x, 1110111x0x, 1110111x0x}, 1x00x11x0x \ {
   1x00111x00, 1x00011x01, 1x00x1100x, 1x00x11x00, 1x00x11x00, 1100111x0x, 1x00011x0x, 1x00011x0x}}

{1xx0x \ {11101, 10000, 10000}, 00x01 \ {00001, 00101}}
{0x11x \ {0x110, 0111x, 00110}}
{}

{}
{x111x \ {01111, 11111}, 0x0x0 \ {000x0, 010x0, 01000}, xx110 \ {0x110, 11110, 00110}}
{}

{01x0x \ {0100x, 01101, 01101}}
{101x0 \ {10110, 10100}}
{
   1010001x00 \ {
   1010001000, 1010001x00}}

{xx0xx \ {x100x, x1010, 0x000}}
{1xx1x \ {10x10, 11010, 1xx10}, 11x00 \ {11100, 11000, 11000}, 0x01x \ {01011, 00010, 01010}}
{
   1xx1xxx01x \ {
   1xx11xx010, 1xx10xx011, 1xx1xx1010, 10x10xx01x, 11010xx01x, 1xx10xx01x}, 11x00xx000 \ {
   11x00x1000, 11x000x000, 11100xx000, 11000xx000, 11000xx000}, 0x01xxx01x \ {
   0x011xx010, 0x010xx011, 0x01xx1010, 01011xx01x, 00010xx01x, 01010xx01x}}

{x100x \ {01000, x1000, 01001}, x0x11 \ {00011, x0111}}
{0111x \ {01111, 01110, 01110}, 0x01x \ {01010, 0001x, 0101x}}
{
   01111x0x11 \ {
   0111100011, 01111x0111, 01111x0x11}, 0x011x0x11 \ {
   0x01100011, 0x011x0111, 00011x0x11, 01011x0x11}}

{x1x1x \ {01x1x, 0111x, 1101x}}
{}
{}

{0xxx0 \ {0x0x0, 01010, 0x010}}
{xxx01 \ {10x01, 1x101, 0xx01}, 00x1x \ {00110, 00011, 0011x}}
{
   00x100xx10 \ {
   00x100x010, 00x1001010, 00x100x010, 001100xx10, 001100xx10}}

{0xxx0 \ {0x000, 000x0, 00xx0}, xx1xx \ {1x10x, 01111, 01111}}
{x1xx0 \ {110x0, x10x0, x1000}, x0xx0 \ {00100, 00000, 00110}}
{
   x1xx00xxx0 \ {
   x1x100xx00, x1x000xx10, x1xx00x000, x1xx0000x0, x1xx000xx0, 110x00xxx0, x10x00xxx0, x10000xxx0}, x0xx00xxx0 \ {
   x0x100xx00, x0x000xx10, x0xx00x000, x0xx0000x0, x0xx000xx0, 001000xxx0, 000000xxx0, 001100xxx0}, x1xx0xx1x0 \ {
   x1x10xx100, x1x00xx110, x1xx01x100, 110x0xx1x0, x10x0xx1x0, x1000xx1x0}, x0xx0xx1x0 \ {
   x0x10xx100, x0x00xx110, x0xx01x100, 00100xx1x0, 00000xx1x0, 00110xx1x0}}

{x0x0x \ {10101, 10x00, 00x00}, x1011 \ {11011, 01011}}
{11x00 \ {11000}, x11x0 \ {x1100, 01100, 01110}, 1x100 \ {10100}}
{
   11x00x0x00 \ {
   11x0010x00, 11x0000x00, 11000x0x00}, x1100x0x00 \ {
   x110010x00, x110000x00, x1100x0x00, 01100x0x00}, 1x100x0x00 \ {
   1x10010x00, 1x10000x00, 10100x0x00}}

{001xx \ {00101, 001x0, 00111}}
{01x0x \ {01000, 0110x, 01x01}, 100x0 \ {10000}}
{
   01x0x0010x \ {
   01x0100100, 01x0000101, 01x0x00101, 01x0x00100, 010000010x, 0110x0010x, 01x010010x}, 100x0001x0 \ {
   1001000100, 1000000110, 100x0001x0, 10000001x0}}

{110xx \ {110x1, 1101x}, 00xx1 \ {00001, 00x11}}
{11xxx \ {11101, 11110, 111x0}, x01x1 \ {10101, 001x1, 101x1}}
{
   11xxx110xx \ {
   11xx1110x0, 11xx0110x1, 11x1x1100x, 11x0x1101x, 11xxx110x1, 11xxx1101x, 11101110xx, 11110110xx, 111x0110xx}, x01x1110x1 \ {
   x011111001, x010111011, x01x1110x1, x01x111011, 10101110x1, 001x1110x1, 101x1110x1}, 11xx100xx1 \ {
   11x1100x01, 11x0100x11, 11xx100001, 11xx100x11, 1110100xx1}, x01x100xx1 \ {
   x011100x01, x010100x11, x01x100001, x01x100x11, 1010100xx1, 001x100xx1, 101x100xx1}}

{x01x0 \ {00100, 00110, 10110}}
{x11x0 \ {x1110, 01110}}
{
   x11x0x01x0 \ {
   x1110x0100, x1100x0110, x11x000100, x11x000110, x11x010110, x1110x01x0, 01110x01x0}}

{xx10x \ {11100, 10100, 1110x}, 1110x \ {11100, 11101}, 1110x \ {11101, 11100, 11100}}
{x1x10 \ {11x10, 11010, x1110}}
{}

{0x010 \ {00010}, 1x0x1 \ {10001, 110x1, 11011}}
{x101x \ {x1011, 01011, 11011}, x110x \ {1110x, 01101}}
{
   x10100x010 \ {
   x101000010}, x10111x011 \ {
   x101111011, x101111011, x10111x011, 010111x011, 110111x011}, x11011x001 \ {
   x110110001, x110111001, 111011x001, 011011x001}}

{01x1x \ {0111x, 01010, 01110}}
{}
{}

{00xxx \ {00x1x, 0000x}}
{x00x1 \ {00011, 00001}, x00x1 \ {000x1, 10011, 00001}}
{
   x00x100xx1 \ {
   x001100x01, x000100x11, x00x100x11, x00x100001, 0001100xx1, 0000100xx1}}

{1x101 \ {10101, 11101}}
{10xx1 \ {10111, 10001, 101x1}}
{
   10x011x101 \ {
   10x0110101, 10x0111101, 100011x101, 101011x101}}

{1x1xx \ {11100, 111xx, 10111}}
{xx0x1 \ {x0001, 110x1, x10x1}, 1x110 \ {11110}}
{
   xx0x11x1x1 \ {
   xx0111x101, xx0011x111, xx0x1111x1, xx0x110111, x00011x1x1, 110x11x1x1, x10x11x1x1}, 1x1101x110 \ {
   1x11011110, 111101x110}}

{xx0xx \ {110xx, x000x, 01010}}
{1x10x \ {1x101, 1010x, 1x100}}
{
   1x10xxx00x \ {
   1x101xx000, 1x100xx001, 1x10x1100x, 1x10xx000x, 1x101xx00x, 1010xxx00x, 1x100xx00x}}

{x111x \ {0111x, x1111, 01111}}
{xx1x0 \ {10100, 11100, 111x0}, xx0xx \ {010x1, 1001x, 10010}}
{
   xx110x1110 \ {
   xx11001110, 11110x1110}, xx01xx111x \ {
   xx011x1110, xx010x1111, xx01x0111x, xx01xx1111, xx01x01111, 01011x111x, 1001xx111x, 10010x111x}}

{1x10x \ {1110x, 1x100, 1010x}, xx0xx \ {01000, x10x0, x0011}}
{}
{}

{110x1 \ {11001, 11011, 11011}, 0xx10 \ {00110, 01110, 00x10}, 0x1x0 \ {011x0, 001x0, 00100}}
{1xx00 \ {10100, 11100, 11000}, xx10x \ {0x10x}}
{
   xx10111001 \ {
   xx10111001, 0x10111001}, 1xx000x100 \ {
   1xx0001100, 1xx0000100, 1xx0000100, 101000x100, 111000x100, 110000x100}, xx1000x100 \ {
   xx10001100, xx10000100, xx10000100, 0x1000x100}}

{xx011 \ {01011, x0011, 10011}}
{1xx11 \ {10x11, 11011, 11011}}
{
   1xx11xx011 \ {
   1xx1101011, 1xx11x0011, 1xx1110011, 10x11xx011, 11011xx011, 11011xx011}}

{xx110 \ {x0110, 01110, 11110}}
{00x01 \ {00101, 00001}}
{}

{x0xxx \ {10011, 001xx, 00xx0}}
{1xx0x \ {1000x, 1x000, 11x0x}}
{
   1xx0xx0x0x \ {
   1xx01x0x00, 1xx00x0x01, 1xx0x0010x, 1xx0x00x00, 1000xx0x0x, 1x000x0x0x, 11x0xx0x0x}}

{10xx1 \ {10101, 101x1}, 1010x \ {10100, 10101, 10101}}
{10xx0 \ {10x00, 10010, 10110}}
{
   10x0010100 \ {
   10x0010100, 10x0010100}}

{xxx1x \ {0xx1x, 10x1x, x0x1x}, 1xxx1 \ {1x111, 11x11, 11xx1}}
{01x1x \ {01110, 0111x, 01010}}
{
   01x1xxxx1x \ {
   01x11xxx10, 01x10xxx11, 01x1x0xx1x, 01x1x10x1x, 01x1xx0x1x, 01110xxx1x, 0111xxxx1x, 01010xxx1x}, 01x111xx11 \ {
   01x111x111, 01x1111x11, 01x1111x11, 011111xx11}}

{xx110 \ {x1110, 1x110, 00110}, 10xx0 \ {100x0, 10100, 10110}}
{x01xx \ {10111, 00101, x0110}}
{
   x0110xx110 \ {
   x0110x1110, x01101x110, x011000110, x0110xx110}, x01x010xx0 \ {
   x011010x00, x010010x10, x01x0100x0, x01x010100, x01x010110, x011010xx0}}

{0x10x \ {00101, 01101, 00100}, x011x \ {00111, x0110, 1011x}}
{0xxx0 \ {01000, 01xx0, 0x000}}
{
   0xx000x100 \ {
   0xx0000100, 010000x100, 01x000x100, 0x0000x100}, 0xx10x0110 \ {
   0xx10x0110, 0xx1010110, 01x10x0110}}

{xxx11 \ {00011, x0111, 1xx11}}
{x1x00 \ {01000}, x1xx1 \ {x10x1, 01111}}
{
   x1x11xxx11 \ {
   x1x1100011, x1x11x0111, x1x111xx11, x1011xxx11, 01111xxx11}}

{}
{111xx \ {111x1, 11111, 11110}}
{}

{xx0x1 \ {010x1, 11001, 000x1}, x11x0 \ {111x0, 11100, 01110}}
{00x1x \ {00x10, 00110, 00011}, 0xxx1 \ {01xx1, 0x111, 00001}}
{
   00x11xx011 \ {
   00x1101011, 00x1100011, 00011xx011}, 0xxx1xx0x1 \ {
   0xx11xx001, 0xx01xx011, 0xxx1010x1, 0xxx111001, 0xxx1000x1, 01xx1xx0x1, 0x111xx0x1, 00001xx0x1}, 00x10x1110 \ {
   00x1011110, 00x1001110, 00x10x1110, 00110x1110}}

{x1x01 \ {11101, 11001, x1001}, 1xxx0 \ {10100, 11xx0}}
{00xxx \ {000xx, 00xx1}, x100x \ {01000, x1001}}
{
   00x01x1x01 \ {
   00x0111101, 00x0111001, 00x01x1001, 00001x1x01, 00x01x1x01}, x1001x1x01 \ {
   x100111101, x100111001, x1001x1001, x1001x1x01}, 00xx01xxx0 \ {
   00x101xx00, 00x001xx10, 00xx010100, 00xx011xx0, 000x01xxx0}, x10001xx00 \ {
   x100010100, x100011x00, 010001xx00}}

{xx01x \ {00010, x001x, 11011}}
{10xx1 \ {101x1, 10101, 10111}, 1x11x \ {11111, 10111}}
{
   10x11xx011 \ {
   10x11x0011, 10x1111011, 10111xx011, 10111xx011}, 1x11xxx01x \ {
   1x111xx010, 1x110xx011, 1x11x00010, 1x11xx001x, 1x11x11011, 11111xx01x, 10111xx01x}}

{01x1x \ {0101x, 01010, 01111}, 10x0x \ {10000, 10101, 10001}}
{}
{}

{}
{xx01x \ {00010, 11010, 1x011}}
{}

{x1001 \ {11001, 01001}, xx100 \ {11100, 0x100, 01100}}
{x010x \ {10100, x0100, 10101}}
{
   x0101x1001 \ {
   x010111001, x010101001, 10101x1001}, x0100xx100 \ {
   x010011100, x01000x100, x010001100, 10100xx100, x0100xx100}}

{}
{x110x \ {01101, 0110x, 01100}, 11x0x \ {11101, 1100x}, xx10x \ {x010x, 1x100, x0100}}
{}

{0011x \ {00111}, x1x0x \ {01x0x, 01001, 01000}}
{110x0 \ {11010, 11000, 11000}, x1xx1 \ {11xx1, 01x01, 11001}, x1x01 \ {01001, x1101}}
{
   1101000110 \ {
   1101000110}, x1x1100111 \ {
   x1x1100111, 11x1100111}, 11000x1x00 \ {
   1100001x00, 1100001000, 11000x1x00, 11000x1x00}, x1x01x1x01 \ {
   x1x0101x01, x1x0101001, 11x01x1x01, 01x01x1x01, 11001x1x01}, x1x01x1x01 \ {
   x1x0101x01, x1x0101001, 01001x1x01, x1101x1x01}}

{x0xx1 \ {00x11, 00xx1, 10101}, 1xx11 \ {11011, 11x11, 11x11}}
{}
{}

{110xx \ {11000, 1101x}}
{xx1xx \ {001x1, 0x11x, 1x100}, 0x1xx \ {0x111, 0x10x, 01100}, 00xx1 \ {00x11, 00111, 00011}}
{
   xx1xx110xx \ {
   xx1x1110x0, xx1x0110x1, xx11x1100x, xx10x1101x, xx1xx11000, xx1xx1101x, 001x1110xx, 0x11x110xx, 1x100110xx}, 0x1xx110xx \ {
   0x1x1110x0, 0x1x0110x1, 0x11x1100x, 0x10x1101x, 0x1xx11000, 0x1xx1101x, 0x111110xx, 0x10x110xx, 01100110xx}, 00xx1110x1 \ {
   00x1111001, 00x0111011, 00xx111011, 00x11110x1, 00111110x1, 00011110x1}}

{x1x0x \ {11x01, x1000, x110x}, x010x \ {10100, x0100, 00101}, 01xxx \ {01011, 01x11, 0111x}}
{101xx \ {101x1, 1010x, 10110}, 11x1x \ {1101x, 11011}}
{
   1010xx1x0x \ {
   10101x1x00, 10100x1x01, 1010x11x01, 1010xx1000, 1010xx110x, 10101x1x0x, 1010xx1x0x}, 1010xx010x \ {
   10101x0100, 10100x0101, 1010x10100, 1010xx0100, 1010x00101, 10101x010x, 1010xx010x}, 101xx01xxx \ {
   101x101xx0, 101x001xx1, 1011x01x0x, 1010x01x1x, 101xx01011, 101xx01x11, 101xx0111x, 101x101xxx, 1010x01xxx, 1011001xxx}, 11x1x01x1x \ {
   11x1101x10, 11x1001x11, 11x1x01011, 11x1x01x11, 11x1x0111x, 1101x01x1x, 1101101x1x}}

{10x00 \ {10100, 10000}}
{x01xx \ {10101, 00111, 0011x}}
{
   x010010x00 \ {
   x010010100, x010010000}}

{10xxx \ {10111, 10001, 10x10}}
{x1111 \ {01111, 11111}}
{
   x111110x11 \ {
   x111110111, 0111110x11, 1111110x11}}

{1x000 \ {11000, 10000, 10000}}
{00x0x \ {0010x, 0000x, 0000x}}
{
   00x001x000 \ {
   00x0011000, 00x0010000, 00x0010000, 001001x000, 000001x000, 000001x000}}

{}
{xxx1x \ {01011, x0x11, 1x01x}, 0x10x \ {0110x, 0x100, 0010x}, 1x01x \ {1101x, 11010}}
{}

{x0x00 \ {00100, 10x00, x0000}, x01x1 \ {00101, 10101, 00111}}
{00x0x \ {0000x, 0010x}, 1x0x1 \ {10001, 1x001}}
{
   00x00x0x00 \ {
   00x0000100, 00x0010x00, 00x00x0000, 00000x0x00, 00100x0x00}, 00x01x0101 \ {
   00x0100101, 00x0110101, 00001x0101, 00101x0101}, 1x0x1x01x1 \ {
   1x011x0101, 1x001x0111, 1x0x100101, 1x0x110101, 1x0x100111, 10001x01x1, 1x001x01x1}}

{00xx1 \ {000x1, 00001}}
{x1100 \ {11100}}
{}

{1x10x \ {1x100, 10100, 1x101}, x1xx0 \ {01x10, x10x0, x1000}}
{xx00x \ {0100x, xx001, x100x}}
{
   xx00x1x10x \ {
   xx0011x100, xx0001x101, xx00x1x100, xx00x10100, xx00x1x101, 0100x1x10x, xx0011x10x, x100x1x10x}, xx000x1x00 \ {
   xx000x1000, xx000x1000, 01000x1x00, x1000x1x00}}

{}
{00x0x \ {00100, 00x00, 00x00}, x0x11 \ {x0011, 00111, 10011}}
{}

{x001x \ {00010, 10010, 00011}}
{xxxxx \ {x0010, 11x11, 1xx00}, xxx10 \ {1x010, x1110, 00110}}
{
   xxx1xx001x \ {
   xxx11x0010, xxx10x0011, xxx1x00010, xxx1x10010, xxx1x00011, x0010x001x, 11x11x001x}, xxx10x0010 \ {
   xxx1000010, xxx1010010, 1x010x0010, x1110x0010, 00110x0010}}

{xxx00 \ {x0x00, x1100, x1000}}
{xx1x1 \ {11101, 00111, 101x1}, x1x11 \ {11x11, 01x11}}
{}

{0110x \ {01100, 01101}}
{}
{}

{0x101 \ {01101}, 10x01 \ {10001, 10101}}
{01x1x \ {0111x, 01x11, 01111}}
{}

{xx0x1 \ {000x1, 10011}, 111xx \ {11101, 11111, 1111x}, x0x00 \ {00100, 10x00, 00000}}
{00x1x \ {00111, 0011x}}
{
   00x11xx011 \ {
   00x1100011, 00x1110011, 00111xx011, 00111xx011}, 00x1x1111x \ {
   00x1111110, 00x1011111, 00x1x11111, 00x1x1111x, 001111111x, 0011x1111x}}

{x1x10 \ {x1110, 11110, x1010}, x11x0 \ {01100, 01110}}
{0xx10 \ {0x110, 00x10, 00x10}}
{
   0xx10x1x10 \ {
   0xx10x1110, 0xx1011110, 0xx10x1010, 0x110x1x10, 00x10x1x10, 00x10x1x10}, 0xx10x1110 \ {
   0xx1001110, 0x110x1110, 00x10x1110, 00x10x1110}}

{x110x \ {11100, x1100, x1101}}
{1xx1x \ {10010, 1x011, 1x01x}}
{}

{0100x \ {01000, 01001, 01001}, 1x0xx \ {1000x, 1101x, 110x1}}
{x110x \ {11101, 0110x}, 11xxx \ {11x10, 11x11, 11011}}
{
   x110x0100x \ {
   x110101000, x110001001, x110x01000, x110x01001, x110x01001, 111010100x, 0110x0100x}, 11x0x0100x \ {
   11x0101000, 11x0001001, 11x0x01000, 11x0x01001, 11x0x01001}, x110x1x00x \ {
   x11011x000, x11001x001, x110x1000x, x110x11001, 111011x00x, 0110x1x00x}, 11xxx1x0xx \ {
   11xx11x0x0, 11xx01x0x1, 11x1x1x00x, 11x0x1x01x, 11xxx1000x, 11xxx1101x, 11xxx110x1, 11x101x0xx, 11x111x0xx, 110111x0xx}}

{01xxx \ {01010, 01x0x, 01111}}
{x00x1 \ {00011, 100x1, 00001}}
{
   x00x101xx1 \ {
   x001101x01, x000101x11, x00x101x01, x00x101111, 0001101xx1, 100x101xx1, 0000101xx1}}

{1x0x1 \ {10001, 1x011, 100x1}, x0110 \ {10110, 00110, 00110}}
{1xxxx \ {11100, 101xx, 101xx}, x1xx1 \ {111x1, 11001, 010x1}}
{
   1xxx11x0x1 \ {
   1xx111x001, 1xx011x011, 1xxx110001, 1xxx11x011, 1xxx1100x1, 101x11x0x1, 101x11x0x1}, x1xx11x0x1 \ {
   x1x111x001, x1x011x011, x1xx110001, x1xx11x011, x1xx1100x1, 111x11x0x1, 110011x0x1, 010x11x0x1}, 1xx10x0110 \ {
   1xx1010110, 1xx1000110, 1xx1000110, 10110x0110, 10110x0110}}

{xx111 \ {01111, 10111, 10111}, 0xx10 \ {00x10, 00010, 01110}, x0x0x \ {1010x, 10001, x000x}}
{101xx \ {1011x, 101x0, 10110}, x111x \ {11111, 01111, 01111}, x11x1 \ {x1111, x1101, x1101}}
{
   10111xx111 \ {
   1011101111, 1011110111, 1011110111, 10111xx111}, x1111xx111 \ {
   x111101111, x111110111, x111110111, 11111xx111, 01111xx111, 01111xx111}, 101100xx10 \ {
   1011000x10, 1011000010, 1011001110, 101100xx10, 101100xx10, 101100xx10}, x11100xx10 \ {
   x111000x10, x111000010, x111001110}, 1010xx0x0x \ {
   10101x0x00, 10100x0x01, 1010x1010x, 1010x10001, 1010xx000x, 10100x0x0x}, x1101x0x01 \ {
   x110110101, x110110001, x1101x0001, x1101x0x01, x1101x0x01}}

{}
{x0xx1 \ {100x1, 000x1, 00x01}, 100xx \ {100x0, 10001, 100x1}}
{}

{x11xx \ {x111x, 011x0, x11x1}, 1xxxx \ {11xxx, 1111x, 11111}, 00xx0 \ {00010, 00100, 00110}}
{01xxx \ {011x0, 01101, 010x1}, 11xx0 \ {11000, 11010}}
{
   01xxxx11xx \ {
   01xx1x11x0, 01xx0x11x1, 01x1xx110x, 01x0xx111x, 01xxxx111x, 01xxx011x0, 01xxxx11x1, 011x0x11xx, 01101x11xx, 010x1x11xx}, 11xx0x11x0 \ {
   11x10x1100, 11x00x1110, 11xx0x1110, 11xx0011x0, 11000x11x0, 11010x11x0}, 01xxx1xxxx \ {
   01xx11xxx0, 01xx01xxx1, 01x1x1xx0x, 01x0x1xx1x, 01xxx11xxx, 01xxx1111x, 01xxx11111, 011x01xxxx, 011011xxxx, 010x11xxxx}, 11xx01xxx0 \ {
   11x101xx00, 11x001xx10, 11xx011xx0, 11xx011110, 110001xxx0, 110101xxx0}, 01xx000xx0 \ {
   01x1000x00, 01x0000x10, 01xx000010, 01xx000100, 01xx000110, 011x000xx0}, 11xx000xx0 \ {
   11x1000x00, 11x0000x10, 11xx000010, 11xx000100, 11xx000110, 1100000xx0, 1101000xx0}}

{xxx01 \ {0x101, x0x01, 00001}, x01x0 \ {00100, 101x0}}
{xxx1x \ {x1x10, 01111, x0x10}}
{
   xxx10x0110 \ {
   xxx1010110, x1x10x0110, x0x10x0110}}

{x1xx0 \ {01x10, 11x10, x1x00}, x11x1 \ {011x1, 11101, 11101}}
{x010x \ {00101, x0101}, 01xxx \ {01011, 01x10, 0101x}, x00x1 \ {00001, 10011, 000x1}}
{
   x0100x1x00 \ {
   x0100x1x00}, 01xx0x1xx0 \ {
   01x10x1x00, 01x00x1x10, 01xx001x10, 01xx011x10, 01xx0x1x00, 01x10x1xx0, 01010x1xx0}, x0101x1101 \ {
   x010101101, x010111101, x010111101, 00101x1101, x0101x1101}, 01xx1x11x1 \ {
   01x11x1101, 01x01x1111, 01xx1011x1, 01xx111101, 01xx111101, 01011x11x1, 01011x11x1}, x00x1x11x1 \ {
   x0011x1101, x0001x1111, x00x1011x1, x00x111101, x00x111101, 00001x11x1, 10011x11x1, 000x1x11x1}}

{}
{x1x1x \ {x1110, 01010, 1101x}}
{}

{xx0x0 \ {x10x0, 10000, 01010}, 1x1x1 \ {11101, 11111, 10101}}
{x0xx0 \ {x0x00, 00x10}}
{
   x0xx0xx0x0 \ {
   x0x10xx000, x0x00xx010, x0xx0x10x0, x0xx010000, x0xx001010, x0x00xx0x0, 00x10xx0x0}}

{}
{xx0xx \ {x00x1, 11010, x1000}}
{}

{001xx \ {00100, 0010x, 0011x}, 01x0x \ {01100, 01x00, 01x00}}
{xx0xx \ {00001, 11011, 00010}}
{
   xx0xx001xx \ {
   xx0x1001x0, xx0x0001x1, xx01x0010x, xx00x0011x, xx0xx00100, xx0xx0010x, xx0xx0011x, 00001001xx, 11011001xx, 00010001xx}, xx00x01x0x \ {
   xx00101x00, xx00001x01, xx00x01100, xx00x01x00, xx00x01x00, 0000101x0x}}

{110x0 \ {11010, 11000}, x100x \ {01001, 1100x, 0100x}}
{1x001 \ {10001, 11001, 11001}, 1011x \ {10111, 10110, 10110}}
{
   1011011010 \ {
   1011011010, 1011011010, 1011011010}, 1x001x1001 \ {
   1x00101001, 1x00111001, 1x00101001, 10001x1001, 11001x1001, 11001x1001}}

{xx0x0 \ {x1000, 11010, 01010}}
{1x0xx \ {1x0x1, 1001x, 10000}, 011x1 \ {01101}, xx10x \ {xx101, 0110x, x010x}}
{
   1x0x0xx0x0 \ {
   1x010xx000, 1x000xx010, 1x0x0x1000, 1x0x011010, 1x0x001010, 10010xx0x0, 10000xx0x0}, xx100xx000 \ {
   xx100x1000, 01100xx000, x0100xx000}}

{x01x0 \ {x0110, 00100}}
{0x0xx \ {00000, 010x0, 01001}, 01x11 \ {01111, 01011}, 01xx0 \ {01100, 01010, 01010}}
{
   0x0x0x01x0 \ {
   0x010x0100, 0x000x0110, 0x0x0x0110, 0x0x000100, 00000x01x0, 010x0x01x0}, 01xx0x01x0 \ {
   01x10x0100, 01x00x0110, 01xx0x0110, 01xx000100, 01100x01x0, 01010x01x0, 01010x01x0}}

{1xx10 \ {10x10, 10110, 10110}, xxx1x \ {1001x, 0011x, x1010}, 1xx10 \ {10110, 1x110, 11010}}
{0x10x \ {01101, 00100, 01100}}
{}

{0x1x0 \ {01110, 011x0, 0x110}, x100x \ {11000, 0100x, 01001}, x11xx \ {011x0, 11111, x11x1}}
{011x0 \ {01110}, x1xxx \ {11x10, 01100, 110x0}}
{
   011x00x1x0 \ {
   011100x100, 011000x110, 011x001110, 011x0011x0, 011x00x110, 011100x1x0}, x1xx00x1x0 \ {
   x1x100x100, x1x000x110, x1xx001110, x1xx0011x0, x1xx00x110, 11x100x1x0, 011000x1x0, 110x00x1x0}, 01100x1000 \ {
   0110011000, 0110001000}, x1x0xx100x \ {
   x1x01x1000, x1x00x1001, x1x0x11000, x1x0x0100x, x1x0x01001, 01100x100x, 11000x100x}, 011x0x11x0 \ {
   01110x1100, 01100x1110, 011x0011x0, 01110x11x0}, x1xxxx11xx \ {
   x1xx1x11x0, x1xx0x11x1, x1x1xx110x, x1x0xx111x, x1xxx011x0, x1xxx11111, x1xxxx11x1, 11x10x11xx, 01100x11xx, 110x0x11xx}}

{0x10x \ {0010x, 01101, 00101}, x1000 \ {11000, 01000}}
{11xxx \ {11000, 11010, 11x00}, xx001 \ {00001, 1x001}}
{
   11x0x0x10x \ {
   11x010x100, 11x000x101, 11x0x0010x, 11x0x01101, 11x0x00101, 110000x10x, 11x000x10x}, xx0010x101 \ {
   xx00100101, xx00101101, xx00100101, 000010x101, 1x0010x101}, 11x00x1000 \ {
   11x0011000, 11x0001000, 11000x1000, 11x00x1000}}

{10x0x \ {10101, 10000}, 0xx0x \ {00x01, 01x00, 01100}}
{xx011 \ {01011, x1011}, x011x \ {x0110, 1011x, 10110}}
{}

{x0xx1 \ {10011, x01x1, 10101}, x1xxx \ {x10x1, 11011, 110x0}}
{xx0x0 \ {01010, 1x000, x1010}, 0xxx0 \ {01110, 00000, 001x0}, 10xx1 \ {10111, 101x1, 10101}}
{
   10xx1x0xx1 \ {
   10x11x0x01, 10x01x0x11, 10xx110011, 10xx1x01x1, 10xx110101, 10111x0xx1, 101x1x0xx1, 10101x0xx1}, xx0x0x1xx0 \ {
   xx010x1x00, xx000x1x10, xx0x0110x0, 01010x1xx0, 1x000x1xx0, x1010x1xx0}, 0xxx0x1xx0 \ {
   0xx10x1x00, 0xx00x1x10, 0xxx0110x0, 01110x1xx0, 00000x1xx0, 001x0x1xx0}, 10xx1x1xx1 \ {
   10x11x1x01, 10x01x1x11, 10xx1x10x1, 10xx111011, 10111x1xx1, 101x1x1xx1, 10101x1xx1}}

{x0x00 \ {10x00, 00x00, x0000}, 0xx00 \ {00000, 01000, 00100}}
{1000x \ {10001, 10000}}
{
   10000x0x00 \ {
   1000010x00, 1000000x00, 10000x0000, 10000x0x00}, 100000xx00 \ {
   1000000000, 1000001000, 1000000100, 100000xx00}}

{x101x \ {01010, 11011, 11011}, 10xxx \ {1001x, 100xx, 10000}}
{111xx \ {11110, 11111, 1111x}, 011xx \ {01110, 01101, 011x1}}
{
   1111xx101x \ {
   11111x1010, 11110x1011, 1111x01010, 1111x11011, 1111x11011, 11110x101x, 11111x101x, 1111xx101x}, 0111xx101x \ {
   01111x1010, 01110x1011, 0111x01010, 0111x11011, 0111x11011, 01110x101x, 01111x101x}, 111xx10xxx \ {
   111x110xx0, 111x010xx1, 1111x10x0x, 1110x10x1x, 111xx1001x, 111xx100xx, 111xx10000, 1111010xxx, 1111110xxx, 1111x10xxx}, 011xx10xxx \ {
   011x110xx0, 011x010xx1, 0111x10x0x, 0110x10x1x, 011xx1001x, 011xx100xx, 011xx10000, 0111010xxx, 0110110xxx, 011x110xxx}}

{x1x11 \ {01011, 01x11}, xxx01 \ {01x01, 00101, x0x01}}
{xx111 \ {10111, x1111, x1111}, x1xx1 \ {01x11, 11x11, x1x11}}
{
   xx111x1x11 \ {
   xx11101011, xx11101x11, 10111x1x11, x1111x1x11, x1111x1x11}, x1x11x1x11 \ {
   x1x1101011, x1x1101x11, 01x11x1x11, 11x11x1x11, x1x11x1x11}, x1x01xxx01 \ {
   x1x0101x01, x1x0100101, x1x01x0x01}}

{}
{x11xx \ {1110x, x11x0, 111x1}, 00x0x \ {00x01, 0010x, 00100}}
{}

{1xxx1 \ {1x001, 1xx01, 11x11}, x1xxx \ {01001, x100x, 11001}}
{xxx10 \ {x0010, x0x10, xx010}, 1xx10 \ {10110, 11110, 11110}}
{
   xxx10x1x10 \ {
   x0010x1x10, x0x10x1x10, xx010x1x10}, 1xx10x1x10 \ {
   10110x1x10, 11110x1x10, 11110x1x10}}

{x11x0 \ {01100, 011x0, 11110}, 0100x \ {01000, 01001}}
{010x0 \ {01000, 01010, 01010}, 0xx01 \ {0x001, 00101}}
{
   010x0x11x0 \ {
   01010x1100, 01000x1110, 010x001100, 010x0011x0, 010x011110, 01000x11x0, 01010x11x0, 01010x11x0}, 0100001000 \ {
   0100001000, 0100001000}, 0xx0101001 \ {
   0xx0101001, 0x00101001, 0010101001}}

{1x000 \ {10000, 11000}, x0x10 \ {00110, 10110}, 01xx0 \ {01000, 01010}}
{}
{}

{0xx1x \ {0001x, 00x10, 0x01x}, 1x1x1 \ {10111, 101x1, 10101}}
{x0xxx \ {10xx1, x0001, 101x1}, 00x1x \ {00x11, 00011, 00011}}
{
   x0x1x0xx1x \ {
   x0x110xx10, x0x100xx11, x0x1x0001x, x0x1x00x10, x0x1x0x01x, 10x110xx1x, 101110xx1x}, 00x1x0xx1x \ {
   00x110xx10, 00x100xx11, 00x1x0001x, 00x1x00x10, 00x1x0x01x, 00x110xx1x, 000110xx1x, 000110xx1x}, x0xx11x1x1 \ {
   x0x111x101, x0x011x111, x0xx110111, x0xx1101x1, x0xx110101, 10xx11x1x1, x00011x1x1, 101x11x1x1}, 00x111x111 \ {
   00x1110111, 00x1110111, 00x111x111, 000111x111, 000111x111}}

{x10x0 \ {11000, 010x0, 01000}, x11x0 \ {x1110, 01110, 11100}, x001x \ {x0011, 00011, 10010}}
{0x011 \ {01011}}
{
   0x011x0011 \ {
   0x011x0011, 0x01100011, 01011x0011}}

{111x1 \ {11111}}
{x111x \ {0111x, x1110, 11111}, 1xx10 \ {11010, 10x10, 1x110}}
{
   x111111111 \ {
   x111111111, 0111111111, 1111111111}}

{110x0 \ {11010, 11000}}
{x10xx \ {110x1, 010x0, x1000}}
{
   x10x0110x0 \ {
   x101011000, x100011010, x10x011010, x10x011000, 010x0110x0, x1000110x0}}

{x11xx \ {x1100, x1101}, x0xx1 \ {10001, 101x1, x0x11}, 11x0x \ {1110x, 11100, 11100}}
{x0xxx \ {00xx0, 000x0, 101x1}}
{
   x0xxxx11xx \ {
   x0xx1x11x0, x0xx0x11x1, x0x1xx110x, x0x0xx111x, x0xxxx1100, x0xxxx1101, 00xx0x11xx, 000x0x11xx, 101x1x11xx}, x0xx1x0xx1 \ {
   x0x11x0x01, x0x01x0x11, x0xx110001, x0xx1101x1, x0xx1x0x11, 101x1x0xx1}, x0x0x11x0x \ {
   x0x0111x00, x0x0011x01, x0x0x1110x, x0x0x11100, x0x0x11100, 00x0011x0x, 0000011x0x, 1010111x0x}}

{1000x \ {10001, 10000}}
{}
{}

{xx001 \ {x1001, 01001, 00001}, x1x11 \ {11x11, 01111}, 0xx00 \ {00000, 0x000, 00100}}
{x01xx \ {x0111, 00101, 10111}, 110xx \ {11001, 11011, 1101x}}
{
   x0101xx001 \ {
   x0101x1001, x010101001, x010100001, 00101xx001}, 11001xx001 \ {
   11001x1001, 1100101001, 1100100001, 11001xx001}, x0111x1x11 \ {
   x011111x11, x011101111, x0111x1x11, 10111x1x11}, 11011x1x11 \ {
   1101111x11, 1101101111, 11011x1x11, 11011x1x11}, x01000xx00 \ {
   x010000000, x01000x000, x010000100}, 110000xx00 \ {
   1100000000, 110000x000, 1100000100}}

{0xxx1 \ {010x1, 00x01, 000x1}, x0xxx \ {x0x00, 00101, 10x11}}
{00x00 \ {00100, 00000}, x11xx \ {11101, 011x1, 011xx}}
{
   x11x10xxx1 \ {
   x11110xx01, x11010xx11, x11x1010x1, x11x100x01, x11x1000x1, 111010xxx1, 011x10xxx1, 011x10xxx1}, 00x00x0x00 \ {
   00x00x0x00, 00100x0x00, 00000x0x00}, x11xxx0xxx \ {
   x11x1x0xx0, x11x0x0xx1, x111xx0x0x, x110xx0x1x, x11xxx0x00, x11xx00101, x11xx10x11, 11101x0xxx, 011x1x0xxx, 011xxx0xxx}}

{0xx01 \ {00001, 01001, 01001}, 10xx0 \ {10110, 10100}}
{11x01 \ {11001, 11101, 11101}}
{
   11x010xx01 \ {
   11x0100001, 11x0101001, 11x0101001, 110010xx01, 111010xx01, 111010xx01}}

{xxx1x \ {00x11, 1111x, 0001x}, xx0xx \ {x1001, 010x0, xx011}}
{}
{}

{xx1xx \ {00100, 011xx, x1101}, x1xxx \ {01xx0, 010x1, x11x1}, xxx10 \ {10010, 10110, 01010}}
{x01x1 \ {x0111, 101x1, 10111}}
{
   x01x1xx1x1 \ {
   x0111xx101, x0101xx111, x01x1011x1, x01x1x1101, x0111xx1x1, 101x1xx1x1, 10111xx1x1}, x01x1x1xx1 \ {
   x0111x1x01, x0101x1x11, x01x1010x1, x01x1x11x1, x0111x1xx1, 101x1x1xx1, 10111x1xx1}}

{11xx0 \ {110x0, 11000, 11x00}}
{x01xx \ {101x1, 0010x, 00101}}
{
   x01x011xx0 \ {
   x011011x00, x010011x10, x01x0110x0, x01x011000, x01x011x00, 0010011xx0}}

{0xx11 \ {01x11, 00x11, 00x11}, 011xx \ {01100, 011x0, 011x1}, 10xx1 \ {101x1, 10x01, 10101}}
{xx1x1 \ {111x1, 0x1x1, 0x1x1}, 0x1x0 \ {01100, 0x110}}
{
   xx1110xx11 \ {
   xx11101x11, xx11100x11, xx11100x11, 111110xx11, 0x1110xx11, 0x1110xx11}, xx1x1011x1 \ {
   xx11101101, xx10101111, xx1x1011x1, 111x1011x1, 0x1x1011x1, 0x1x1011x1}, 0x1x0011x0 \ {
   0x11001100, 0x10001110, 0x1x001100, 0x1x0011x0, 01100011x0, 0x110011x0}, xx1x110xx1 \ {
   xx11110x01, xx10110x11, xx1x1101x1, xx1x110x01, xx1x110101, 111x110xx1, 0x1x110xx1, 0x1x110xx1}}

{x1x00 \ {x1000, 11x00, x1100}}
{xx011 \ {0x011, x1011}, x11xx \ {01110, 01111, 111xx}}
{
   x1100x1x00 \ {
   x1100x1000, x110011x00, x1100x1100, 11100x1x00}}

{11xx0 \ {11x10, 11110, 11010}, 1x1x0 \ {10110, 1x100, 1x100}}
{x0x0x \ {00001, x000x, 00101}, xx1x1 \ {11111, xx111, 011x1}}
{
   x0x0011x00 \ {
   x000011x00}, x0x001x100 \ {
   x0x001x100, x0x001x100, x00001x100}}

{0xxx0 \ {0x010, 01010, 00110}}
{x101x \ {11010, 01011, 01010}}
{
   x10100xx10 \ {
   x10100x010, x101001010, x101000110, 110100xx10, 010100xx10}}

{1x00x \ {1100x, 10000, 11000}, 00x10 \ {00010, 00110}}
{xx1xx \ {x0101, 011xx, 101x1}, 101xx \ {10111, 10101, 101x1}, xx100 \ {01100, 1x100, 1x100}}
{
   xx10x1x00x \ {
   xx1011x000, xx1001x001, xx10x1100x, xx10x10000, xx10x11000, x01011x00x, 0110x1x00x, 101011x00x}, 1010x1x00x \ {
   101011x000, 101001x001, 1010x1100x, 1010x10000, 1010x11000, 101011x00x, 101011x00x}, xx1001x000 \ {
   xx10011000, xx10010000, xx10011000, 011001x000, 1x1001x000, 1x1001x000}, xx11000x10 \ {
   xx11000010, xx11000110, 0111000x10}, 1011000x10 \ {
   1011000010, 1011000110}}

{10xx1 \ {10011, 10111, 10001}}
{010x1 \ {01001, 01011}, 111x0 \ {11100, 11110}}
{
   010x110xx1 \ {
   0101110x01, 0100110x11, 010x110011, 010x110111, 010x110001, 0100110xx1, 0101110xx1}}

{1x1x1 \ {11111, 10111, 101x1}}
{1x11x \ {1011x, 10110, 1111x}}
{
   1x1111x111 \ {
   1x11111111, 1x11110111, 1x11110111, 101111x111, 111111x111}}

{x00x0 \ {00010, 10010, 100x0}}
{x00x1 \ {00011, 10011}, 00x0x \ {00000, 00x01, 00001}}
{
   00x00x0000 \ {
   00x0010000, 00000x0000}}

{x10x0 \ {11000, 11010, 01000}}
{1xxx1 \ {11111, 10101, 11x01}}
{}

{}
{0xx0x \ {00101, 0xx01, 00000}, 0x0x0 \ {0x010, 000x0, 00000}}
{}

{0xx01 \ {00101, 00001, 00x01}, 01x11 \ {01111, 01011}}
{}
{}

{x1xx1 \ {x1x01, 01011, x11x1}}
{0x1x0 \ {0x100, 01110, 01110}, x00x0 \ {10010, 100x0, 100x0}}
{}

{0xx10 \ {0x010, 00110, 01010}, 10x11 \ {10011, 10111}}
{}
{}

{xx011 \ {1x011, x0011}, 010x1 \ {01001, 01011}}
{xx0xx \ {100xx, 1x011, xx0x0}}
{
   xx011xx011 \ {
   xx0111x011, xx011x0011, 10011xx011, 1x011xx011}, xx0x1010x1 \ {
   xx01101001, xx00101011, xx0x101001, xx0x101011, 100x1010x1, 1x011010x1}}

{}
{xxxx0 \ {xx100, xx010, 10x10}}
{}

{xxxx0 \ {1x100, x1x10, x1110}}
{x010x \ {x0101, 10100}, x0011 \ {10011, 00011}, x11x0 \ {01100, 11100, x1100}}
{
   x0100xxx00 \ {
   x01001x100, 10100xxx00}, x11x0xxxx0 \ {
   x1110xxx00, x1100xxx10, x11x01x100, x11x0x1x10, x11x0x1110, 01100xxxx0, 11100xxxx0, x1100xxxx0}}

{x0x00 \ {x0000, 00x00, 00000}, 0x1xx \ {0x100, 0111x, 011x0}}
{1x1x1 \ {11101, 11111}, x1x10 \ {11010, 01x10, 01010}, x0x01 \ {00101, x0101}}
{
   1x1x10x1x1 \ {
   1x1110x101, 1x1010x111, 1x1x101111, 111010x1x1, 111110x1x1}, x1x100x110 \ {
   x1x1001110, x1x1001110, 110100x110, 01x100x110, 010100x110}, x0x010x101 \ {
   001010x101, x01010x101}}

{0x01x \ {00010, 0001x, 0001x}}
{0x0x1 \ {0x001, 010x1, 0x011}}
{
   0x0110x011 \ {
   0x01100011, 0x01100011, 010110x011, 0x0110x011}}

{}
{}
{}

{00xxx \ {000x1, 00101}, 01x0x \ {0110x, 01100}}
{01x10 \ {01010, 01110}, 1x00x \ {11001, 1100x, 10000}}
{
   01x1000x10 \ {
   0101000x10, 0111000x10}, 1x00x00x0x \ {
   1x00100x00, 1x00000x01, 1x00x00001, 1x00x00101, 1100100x0x, 1100x00x0x, 1000000x0x}, 1x00x01x0x \ {
   1x00101x00, 1x00001x01, 1x00x0110x, 1x00x01100, 1100101x0x, 1100x01x0x, 1000001x0x}}

{0x11x \ {0x111, 00111, 0x110}, 1xxx0 \ {10x10, 10x00, 1x0x0}, 0xxx1 \ {01001, 00x11, 0xx11}}
{1xx10 \ {10010, 1x110, 10x10}, 111xx \ {111x0, 11110, 111x1}}
{
   1xx100x110 \ {
   1xx100x110, 100100x110, 1x1100x110, 10x100x110}, 1111x0x11x \ {
   111110x110, 111100x111, 1111x0x111, 1111x00111, 1111x0x110, 111100x11x, 111100x11x, 111110x11x}, 1xx101xx10 \ {
   1xx1010x10, 1xx101x010, 100101xx10, 1x1101xx10, 10x101xx10}, 111x01xxx0 \ {
   111101xx00, 111001xx10, 111x010x10, 111x010x00, 111x01x0x0, 111x01xxx0, 111101xxx0}, 111x10xxx1 \ {
   111110xx01, 111010xx11, 111x101001, 111x100x11, 111x10xx11, 111x10xxx1}}

{x1x00 \ {01x00, 11x00, x1000}}
{01xxx \ {0111x, 011x1, 01x0x}}
{
   01x00x1x00 \ {
   01x0001x00, 01x0011x00, 01x00x1000, 01x00x1x00}}

{010xx \ {01000, 0101x, 01011}}
{1x110 \ {11110, 10110}, 0011x \ {00111, 00110}}
{
   1x11001010 \ {
   1x11001010, 1111001010, 1011001010}, 0011x0101x \ {
   0011101010, 0011001011, 0011x0101x, 0011x01011, 001110101x, 001100101x}}

{x01x0 \ {x0110, x0100}, 1x101 \ {10101}}
{x0x1x \ {x001x, 10x11, 00111}}
{
   x0x10x0110 \ {
   x0x10x0110, x0010x0110}}

{101x1 \ {10101, 10111, 10111}, 0010x \ {00101, 00100, 00100}}
{0x1x1 \ {01101, 00111}, xxx00 \ {xx100, 11000, 10000}}
{
   0x1x1101x1 \ {
   0x11110101, 0x10110111, 0x1x110101, 0x1x110111, 0x1x110111, 01101101x1, 00111101x1}, 0x10100101 \ {
   0x10100101, 0110100101}, xxx0000100 \ {
   xxx0000100, xxx0000100, xx10000100, 1100000100, 1000000100}}

{}
{01x10 \ {01110, 01010}}
{}

{11xxx \ {11x1x, 11001, 11x01}, 011x0 \ {01110, 01100}}
{0xx10 \ {00010, 01x10, 00110}}
{
   0xx1011x10 \ {
   0xx1011x10, 0001011x10, 01x1011x10, 0011011x10}, 0xx1001110 \ {
   0xx1001110, 0001001110, 01x1001110, 0011001110}}

{1x10x \ {11100, 1010x, 1x101}, 1xx1x \ {10011, 1xx10, 1101x}}
{10x10 \ {10110}, 01xxx \ {010xx, 01010, 01xx1}, xx1xx \ {0x1xx, x01xx, xx11x}}
{
   01x0x1x10x \ {
   01x011x100, 01x001x101, 01x0x11100, 01x0x1010x, 01x0x1x101, 0100x1x10x, 01x011x10x}, xx10x1x10x \ {
   xx1011x100, xx1001x101, xx10x11100, xx10x1010x, xx10x1x101, 0x10x1x10x, x010x1x10x}, 10x101xx10 \ {
   10x101xx10, 10x1011010, 101101xx10}, 01x1x1xx1x \ {
   01x111xx10, 01x101xx11, 01x1x10011, 01x1x1xx10, 01x1x1101x, 0101x1xx1x, 010101xx1x, 01x111xx1x}, xx11x1xx1x \ {
   xx1111xx10, xx1101xx11, xx11x10011, xx11x1xx10, xx11x1101x, 0x11x1xx1x, x011x1xx1x, xx11x1xx1x}}

{01x0x \ {01101, 0110x, 01x01}, 00x10 \ {00010, 00110, 00110}}
{001x1 \ {00101, 00111}, x0xx1 \ {00x01, x0011, 10x01}}
{
   0010101x01 \ {
   0010101101, 0010101101, 0010101x01, 0010101x01}, x0x0101x01 \ {
   x0x0101101, x0x0101101, x0x0101x01, 00x0101x01, 10x0101x01}}

{xx101 \ {01101, x1101, x0101}, 101x0 \ {10110, 10100}, 11x00 \ {11000}}
{}
{}

{10x11 \ {10111, 10011, 10011}, xx001 \ {x0001, 01001, 01001}}
{}
{}

{0xx0x \ {01x01, 0x10x}}
{}
{}

{10xx0 \ {10100, 10110, 10010}, xx0xx \ {000x1, 10001, x00xx}}
{}
{}

{0xxx0 \ {01x10, 00100, 0xx10}, 0110x \ {01100, 01101}}
{01x1x \ {0101x, 01110, 01x11}, 1x01x \ {1x011, 1001x, 1001x}}
{
   01x100xx10 \ {
   01x1001x10, 01x100xx10, 010100xx10, 011100xx10}, 1x0100xx10 \ {
   1x01001x10, 1x0100xx10, 100100xx10, 100100xx10}}

{0x0xx \ {010x0, 010x1, 01001}, 0x0xx \ {0x0x1, 01000, 0100x}, 11x10 \ {11110, 11010}}
{011x0 \ {01100}, 110x0 \ {11000}}
{
   011x00x0x0 \ {
   011100x000, 011000x010, 011x001000, 011x001000, 011000x0x0}, 110x00x0x0 \ {
   110100x000, 110000x010, 110x001000, 110x001000, 110000x0x0}, 0111011x10 \ {
   0111011110, 0111011010}, 1101011x10 \ {
   1101011110, 1101011010}}

{x11x0 \ {011x0, x1110, 111x0}, 0xx01 \ {00001, 01101, 00101}}
{x000x \ {10000, 10001, 00001}}
{
   x0000x1100 \ {
   x000001100, x000011100, 10000x1100}, x00010xx01 \ {
   x000100001, x000101101, x000100101, 100010xx01, 000010xx01}}

{10xxx \ {10001, 10x0x, 10100}, xx0x1 \ {0x0x1, xx001, x0011}}
{0xx1x \ {0x11x, 0x010, 0111x}, 000xx \ {0000x, 00001, 0001x}}
{
   0xx1x10x1x \ {
   0xx1110x10, 0xx1010x11, 0x11x10x1x, 0x01010x1x, 0111x10x1x}, 000xx10xxx \ {
   000x110xx0, 000x010xx1, 0001x10x0x, 0000x10x1x, 000xx10001, 000xx10x0x, 000xx10100, 0000x10xxx, 0000110xxx, 0001x10xxx}, 0xx11xx011 \ {
   0xx110x011, 0xx11x0011, 0x111xx011, 01111xx011}, 000x1xx0x1 \ {
   00011xx001, 00001xx011, 000x10x0x1, 000x1xx001, 000x1x0011, 00001xx0x1, 00001xx0x1, 00011xx0x1}}

{x00xx \ {1000x, x001x, 100xx}, xxx10 \ {01x10, 10x10, 00x10}}
{01xxx \ {01010, 01101, 01110}, x100x \ {01001, 01000, 11001}}
{
   01xxxx00xx \ {
   01xx1x00x0, 01xx0x00x1, 01x1xx000x, 01x0xx001x, 01xxx1000x, 01xxxx001x, 01xxx100xx, 01010x00xx, 01101x00xx, 01110x00xx}, x100xx000x \ {
   x1001x0000, x1000x0001, x100x1000x, x100x1000x, 01001x000x, 01000x000x, 11001x000x}, 01x10xxx10 \ {
   01x1001x10, 01x1010x10, 01x1000x10, 01010xxx10, 01110xxx10}}

{00x10 \ {00110, 00010}}
{00xxx \ {00101, 0010x, 001x0}}
{
   00x1000x10 \ {
   00x1000110, 00x1000010, 0011000x10}}

{111xx \ {111x0, 11100}}
{x101x \ {x1011, 01011}, x11xx \ {x11x0, 11100, x110x}}
{
   x101x1111x \ {
   x101111110, x101011111, x101x11110, x10111111x, 010111111x}, x11xx111xx \ {
   x11x1111x0, x11x0111x1, x111x1110x, x110x1111x, x11xx111x0, x11xx11100, x11x0111xx, 11100111xx, x110x111xx}}

{x00xx \ {10000, x0011, x00x0}, xx1x0 \ {0x1x0, xx110, xx100}}
{10x1x \ {10110, 10x11}, x110x \ {x1101, 0110x, 1110x}}
{
   10x1xx001x \ {
   10x11x0010, 10x10x0011, 10x1xx0011, 10x1xx0010, 10110x001x, 10x11x001x}, x110xx000x \ {
   x1101x0000, x1100x0001, x110x10000, x110xx0000, x1101x000x, 0110xx000x, 1110xx000x}, 10x10xx110 \ {
   10x100x110, 10x10xx110, 10110xx110}, x1100xx100 \ {
   x11000x100, x1100xx100, 01100xx100, 11100xx100}}

{x011x \ {10110, 00111, x0111}}
{0x1x1 \ {001x1, 00101, 011x1}, 000x1 \ {00001}}
{
   0x111x0111 \ {
   0x11100111, 0x111x0111, 00111x0111, 01111x0111}, 00011x0111 \ {
   0001100111, 00011x0111}}

{xxxxx \ {10101, x1xx1, xx1xx}, 0xx10 \ {0x110, 01110, 01010}}
{10x01 \ {10101}, x1x0x \ {x1100, 1110x, x110x}}
{
   10x01xxx01 \ {
   10x0110101, 10x01x1x01, 10x01xx101, 10101xxx01}, x1x0xxxx0x \ {
   x1x01xxx00, x1x00xxx01, x1x0x10101, x1x0xx1x01, x1x0xxx10x, x1100xxx0x, 1110xxxx0x, x110xxxx0x}}

{1x1x1 \ {11111, 11101, 10111}}
{x110x \ {0110x, 11101}}
{
   x11011x101 \ {
   x110111101, 011011x101, 111011x101}}

{}
{xx001 \ {1x001, 11001, 11001}}
{}

{00x0x \ {00x00, 00x01, 0010x}, 0110x \ {01101}, x01x0 \ {x0110, 10110, 10110}}
{}
{}

{1x0xx \ {100x1, 1x000}}
{xxx01 \ {11001, 10x01, 01101}, x0x0x \ {10000, 00101, x0101}, 0x10x \ {00100, 0010x, 0010x}}
{
   xxx011x001 \ {
   xxx0110001, 110011x001, 10x011x001, 011011x001}, x0x0x1x00x \ {
   x0x011x000, x0x001x001, x0x0x10001, x0x0x1x000, 100001x00x, 001011x00x, x01011x00x}, 0x10x1x00x \ {
   0x1011x000, 0x1001x001, 0x10x10001, 0x10x1x000, 001001x00x, 0010x1x00x, 0010x1x00x}}

{xx10x \ {x110x, 10101, 11100}}
{1011x \ {10111, 10110, 10110}, x0xxx \ {x0100, 00100, 00001}}
{
   x0x0xxx10x \ {
   x0x01xx100, x0x00xx101, x0x0xx110x, x0x0x10101, x0x0x11100, x0100xx10x, 00100xx10x, 00001xx10x}}

{x1x11 \ {x1011, 11011, 11x11}, xx10x \ {1110x, 1x100, 0x100}}
{xxx1x \ {x1110, 00111, 01x1x}}
{
   xxx11x1x11 \ {
   xxx11x1011, xxx1111011, xxx1111x11, 00111x1x11, 01x11x1x11}}

{x0x11 \ {10011, x0111, 00x11}}
{xxxx1 \ {0x101, 000x1, 00101}}
{
   xxx11x0x11 \ {
   xxx1110011, xxx11x0111, xxx1100x11, 00011x0x11}}

{01xxx \ {011x0, 01x00, 01x01}, x1xxx \ {11101, 11011, x1x11}}
{xx111 \ {x1111, 1x111, x0111}, x0xx1 \ {10001, 10111, 001x1}}
{
   xx11101x11 \ {
   x111101x11, 1x11101x11, x011101x11}, x0xx101xx1 \ {
   x0x1101x01, x0x0101x11, x0xx101x01, 1000101xx1, 1011101xx1, 001x101xx1}, xx111x1x11 \ {
   xx11111011, xx111x1x11, x1111x1x11, 1x111x1x11, x0111x1x11}, x0xx1x1xx1 \ {
   x0x11x1x01, x0x01x1x11, x0xx111101, x0xx111011, x0xx1x1x11, 10001x1xx1, 10111x1xx1, 001x1x1xx1}}

{xx001 \ {1x001, 0x001, 10001}, 011xx \ {0110x, 01101, 0111x}}
{100xx \ {10001, 100x1}}
{
   10001xx001 \ {
   100011x001, 100010x001, 1000110001, 10001xx001, 10001xx001}, 100xx011xx \ {
   100x1011x0, 100x0011x1, 1001x0110x, 1000x0111x, 100xx0110x, 100xx01101, 100xx0111x, 10001011xx, 100x1011xx}}

{01xx1 \ {01111, 01001}}
{x0xx1 \ {00001, x00x1, x0001}}
{
   x0xx101xx1 \ {
   x0x1101x01, x0x0101x11, x0xx101111, x0xx101001, 0000101xx1, x00x101xx1, x000101xx1}}

{x110x \ {1110x, 01101, x1101}, x11x0 \ {11100, 011x0}}
{x011x \ {00110, 0011x, 1011x}, 01xxx \ {010x1, 01100}}
{
   01x0xx110x \ {
   01x01x1100, 01x00x1101, 01x0x1110x, 01x0x01101, 01x0xx1101, 01001x110x, 01100x110x}, x0110x1110 \ {
   x011001110, 00110x1110, 00110x1110, 10110x1110}, 01xx0x11x0 \ {
   01x10x1100, 01x00x1110, 01xx011100, 01xx0011x0, 01100x11x0}}

{11xx1 \ {11101, 11111, 111x1}}
{1x001 \ {11001, 10001}, xxxx0 \ {101x0, 0xx10, 1x100}, 1xxx1 \ {10xx1, 10101, 1xx01}}
{
   1x00111x01 \ {
   1x00111101, 1x00111101, 1100111x01, 1000111x01}, 1xxx111xx1 \ {
   1xx1111x01, 1xx0111x11, 1xxx111101, 1xxx111111, 1xxx1111x1, 10xx111xx1, 1010111xx1, 1xx0111xx1}}

{x011x \ {x0111, 1011x, 00110}}
{x0010 \ {10010, 00010, 00010}, 00x1x \ {00010, 00011, 00110}}
{
   x0010x0110 \ {
   x001010110, x001000110, 10010x0110, 00010x0110, 00010x0110}, 00x1xx011x \ {
   00x11x0110, 00x10x0111, 00x1xx0111, 00x1x1011x, 00x1x00110, 00010x011x, 00011x011x, 00110x011x}}

{x010x \ {00100, x0100, 10100}, 01x10 \ {01110, 01010}}
{0xx0x \ {0xx01, 0000x, 0x100}}
{
   0xx0xx010x \ {
   0xx01x0100, 0xx00x0101, 0xx0x00100, 0xx0xx0100, 0xx0x10100, 0xx01x010x, 0000xx010x, 0x100x010x}}

{011xx \ {011x0, 01101, 0111x}, xx1xx \ {x110x, x01x0, 0111x}}
{00x01 \ {00101, 00001}, 0xxx1 \ {00111, 00001, 00011}}
{
   00x0101101 \ {
   00x0101101, 0010101101, 0000101101}, 0xxx1011x1 \ {
   0xx1101101, 0xx0101111, 0xxx101101, 0xxx101111, 00111011x1, 00001011x1, 00011011x1}, 00x01xx101 \ {
   00x01x1101, 00101xx101, 00001xx101}, 0xxx1xx1x1 \ {
   0xx11xx101, 0xx01xx111, 0xxx1x1101, 0xxx101111, 00111xx1x1, 00001xx1x1, 00011xx1x1}}

{111xx \ {111x1, 1111x, 1111x}, x011x \ {x0111, 00110}}
{xx11x \ {xx110, x1111, 01111}, x10xx \ {01001, 1101x, 11010}}
{
   xx11x1111x \ {
   xx11111110, xx11011111, xx11x11111, xx11x1111x, xx11x1111x, xx1101111x, x11111111x, 011111111x}, x10xx111xx \ {
   x10x1111x0, x10x0111x1, x101x1110x, x100x1111x, x10xx111x1, x10xx1111x, x10xx1111x, 01001111xx, 1101x111xx, 11010111xx}, xx11xx011x \ {
   xx111x0110, xx110x0111, xx11xx0111, xx11x00110, xx110x011x, x1111x011x, 01111x011x}, x101xx011x \ {
   x1011x0110, x1010x0111, x101xx0111, x101x00110, 1101xx011x, 11010x011x}}

{x1xx1 \ {010x1, 11x01, x1111}}
{0x10x \ {0x101, 00101, 00100}}
{
   0x101x1x01 \ {
   0x10101001, 0x10111x01, 0x101x1x01, 00101x1x01}}

{}
{11x1x \ {11010, 11x10, 1111x}}
{}

{1001x \ {10011, 10010}}
{x000x \ {10000, x0000, 1000x}, 1x001 \ {10001, 11001}, 0xxxx \ {0000x, 0x10x, 0x0xx}}
{
   0xx1x1001x \ {
   0xx1110010, 0xx1010011, 0xx1x10011, 0xx1x10010, 0x01x1001x}}

{xx0xx \ {x0001, 0x01x, x000x}, xx00x \ {x1000, x100x, 1x001}, xx1x0 \ {11110, 01100, 11100}}
{xx101 \ {1x101, 01101, 0x101}, 01xxx \ {011x1, 01001, 0101x}}
{
   xx101xx001 \ {
   xx101x0001, xx101x0001, 1x101xx001, 01101xx001, 0x101xx001}, 01xxxxx0xx \ {
   01xx1xx0x0, 01xx0xx0x1, 01x1xxx00x, 01x0xxx01x, 01xxxx0001, 01xxx0x01x, 01xxxx000x, 011x1xx0xx, 01001xx0xx, 0101xxx0xx}, xx101xx001 \ {
   xx101x1001, xx1011x001, 1x101xx001, 01101xx001, 0x101xx001}, 01x0xxx00x \ {
   01x01xx000, 01x00xx001, 01x0xx1000, 01x0xx100x, 01x0x1x001, 01101xx00x, 01001xx00x}, 01xx0xx1x0 \ {
   01x10xx100, 01x00xx110, 01xx011110, 01xx001100, 01xx011100, 01010xx1x0}}

{1xxx0 \ {10010, 10000, 110x0}, 0x001 \ {01001, 00001}}
{x1x11 \ {01011, 11x11, 11x11}}
{}

{111xx \ {11110, 11100, 11111}, x110x \ {01100, 1110x, x1100}}
{}
{}

{1x0x1 \ {10001, 110x1, 110x1}}
{10xx0 \ {100x0, 10x10}, xx11x \ {1x110, 0111x, 11110}, 01x00 \ {01100, 01000, 01000}}
{
   xx1111x011 \ {
   xx11111011, xx11111011, 011111x011}}

{1001x \ {10010, 10011}}
{}
{}

{101x0 \ {10100, 10110}, 1x1x1 \ {11111, 10101, 10111}}
{1x0xx \ {1x000, 1001x, 1000x}}
{
   1x0x0101x0 \ {
   1x01010100, 1x00010110, 1x0x010100, 1x0x010110, 1x000101x0, 10010101x0, 10000101x0}, 1x0x11x1x1 \ {
   1x0111x101, 1x0011x111, 1x0x111111, 1x0x110101, 1x0x110111, 100111x1x1, 100011x1x1}}

{x11x0 \ {11110, 111x0, x1100}, xx0xx \ {1000x, 0x00x, 00001}, 1xxxx \ {1x11x, 101xx, 10000}}
{1xx01 \ {10x01, 11x01, 10101}, 0x1xx \ {0110x, 001xx, 0x101}, x101x \ {11010, x1011, 01011}}
{
   0x1x0x11x0 \ {
   0x110x1100, 0x100x1110, 0x1x011110, 0x1x0111x0, 0x1x0x1100, 01100x11x0, 001x0x11x0}, x1010x1110 \ {
   x101011110, x101011110, 11010x1110}, 1xx01xx001 \ {
   1xx0110001, 1xx010x001, 1xx0100001, 10x01xx001, 11x01xx001, 10101xx001}, 0x1xxxx0xx \ {
   0x1x1xx0x0, 0x1x0xx0x1, 0x11xxx00x, 0x10xxx01x, 0x1xx1000x, 0x1xx0x00x, 0x1xx00001, 0110xxx0xx, 001xxxx0xx, 0x101xx0xx}, x101xxx01x \ {
   x1011xx010, x1010xx011, 11010xx01x, x1011xx01x, 01011xx01x}, 1xx011xx01 \ {
   1xx0110101, 10x011xx01, 11x011xx01, 101011xx01}, 0x1xx1xxxx \ {
   0x1x11xxx0, 0x1x01xxx1, 0x11x1xx0x, 0x10x1xx1x, 0x1xx1x11x, 0x1xx101xx, 0x1xx10000, 0110x1xxxx, 001xx1xxxx, 0x1011xxxx}, x101x1xx1x \ {
   x10111xx10, x10101xx11, x101x1x11x, x101x1011x, 110101xx1x, x10111xx1x, 010111xx1x}}

{0111x \ {01111, 01110}}
{0x00x \ {00000, 0x001, 0100x}, x1x0x \ {01101, 01001, x100x}, x0xxx \ {00100, 001x1, 00x01}}
{
   x0x1x0111x \ {
   x0x1101110, x0x1001111, x0x1x01111, x0x1x01110, 001110111x}}

{x11x0 \ {011x0, 11100}, xxx0x \ {xx001, x000x, xxx00}, x1x1x \ {x1111, 1101x, x1110}}
{01x0x \ {0100x, 01001, 01101}}
{
   01x00x1100 \ {
   01x0001100, 01x0011100, 01000x1100}, 01x0xxxx0x \ {
   01x01xxx00, 01x00xxx01, 01x0xxx001, 01x0xx000x, 01x0xxxx00, 0100xxxx0x, 01001xxx0x, 01101xxx0x}}

{}
{xx1xx \ {0x101, 101xx, 0x110}, 0xx00 \ {0x100, 01000, 01000}}
{}

{}
{00x1x \ {00010, 0011x, 00110}, x0x1x \ {x0110, 10111, 10x10}}
{}

{}
{10xxx \ {10001, 10011, 10xx0}, x1xxx \ {1101x, x1001, 11xx0}, x1xx1 \ {01111, 11101, 11x11}}
{}

{x1x11 \ {11x11, 11011, 11111}, xxx10 \ {x0110, 00x10, 11x10}}
{xx100 \ {11100, x1100, 1x100}, 1x01x \ {11011, 10010, 1001x}}
{
   1x011x1x11 \ {
   1x01111x11, 1x01111011, 1x01111111, 11011x1x11, 10011x1x11}, 1x010xxx10 \ {
   1x010x0110, 1x01000x10, 1x01011x10, 10010xxx10, 10010xxx10}}

{10xx1 \ {10011, 10001, 10x01}}
{01x1x \ {0101x, 01110}}
{
   01x1110x11 \ {
   01x1110011, 0101110x11}}

{xx010 \ {1x010, 10010, 11010}, xx10x \ {11101, 0x100, 11100}}
{x0x10 \ {x0010, x0110, 00110}, 00xx1 \ {00101, 001x1, 000x1}}
{
   x0x10xx010 \ {
   x0x101x010, x0x1010010, x0x1011010, x0010xx010, x0110xx010, 00110xx010}, 00x01xx101 \ {
   00x0111101, 00101xx101, 00101xx101, 00001xx101}}

{x1xxx \ {01000, x1xx1, 01x00}, 00x01 \ {00001, 00101}}
{x110x \ {11100, 11101, x1100}, 1xx1x \ {11x11, 1x010, 1x011}}
{
   x110xx1x0x \ {
   x1101x1x00, x1100x1x01, x110x01000, x110xx1x01, x110x01x00, 11100x1x0x, 11101x1x0x, x1100x1x0x}, 1xx1xx1x1x \ {
   1xx11x1x10, 1xx10x1x11, 1xx1xx1x11, 11x11x1x1x, 1x010x1x1x, 1x011x1x1x}, x110100x01 \ {
   x110100001, x110100101, 1110100x01}}

{1x00x \ {11000, 10001, 11001}, 10xx1 \ {101x1, 10111}, 10x1x \ {10x10, 10x11, 10111}}
{00xx0 \ {001x0, 00000, 00110}}
{
   00x001x000 \ {
   00x0011000, 001001x000, 000001x000}, 00x1010x10 \ {
   00x1010x10, 0011010x10, 0011010x10}}

{x0x1x \ {00x10, 00x1x}, 11x1x \ {1111x}}
{01xx0 \ {01x00, 010x0}, xx111 \ {11111, 0x111, 1x111}}
{
   01x10x0x10 \ {
   01x1000x10, 01x1000x10, 01010x0x10}, xx111x0x11 \ {
   xx11100x11, 11111x0x11, 0x111x0x11, 1x111x0x11}, 01x1011x10 \ {
   01x1011110, 0101011x10}, xx11111x11 \ {
   xx11111111, 1111111x11, 0x11111x11, 1x11111x11}}

{x1xx1 \ {010x1, 01011, x1x01}}
{0x0x0 \ {0x010, 01000, 0x000}, 011xx \ {01100, 01110, 01110}}
{
   011x1x1xx1 \ {
   01111x1x01, 01101x1x11, 011x1010x1, 011x101011, 011x1x1x01}}

{0xx10 \ {00110, 01110, 0x010}, 01x0x \ {0100x, 01000, 01000}}
{xx1xx \ {x010x, 0110x, 101xx}, 00xx1 \ {00x01, 00011}}
{
   xx1100xx10 \ {
   xx11000110, xx11001110, xx1100x010, 101100xx10}, xx10x01x0x \ {
   xx10101x00, xx10001x01, xx10x0100x, xx10x01000, xx10x01000, x010x01x0x, 0110x01x0x, 1010x01x0x}, 00x0101x01 \ {
   00x0101001, 00x0101x01}}

{x0x1x \ {00x11, 10011, 00x10}, x1xxx \ {x1100, 11011, x1x01}}
{010xx \ {010x0, 01010, 01011}, xx100 \ {00100, 1x100, 11100}}
{
   0101xx0x1x \ {
   01011x0x10, 01010x0x11, 0101x00x11, 0101x10011, 0101x00x10, 01010x0x1x, 01010x0x1x, 01011x0x1x}, 010xxx1xxx \ {
   010x1x1xx0, 010x0x1xx1, 0101xx1x0x, 0100xx1x1x, 010xxx1100, 010xx11011, 010xxx1x01, 010x0x1xxx, 01010x1xxx, 01011x1xxx}, xx100x1x00 \ {
   xx100x1100, 00100x1x00, 1x100x1x00, 11100x1x00}}

{1x0x0 \ {100x0, 11010, 11000}, 00x0x \ {00101, 00x00, 0010x}, x1x11 \ {01111, 01011, 01011}}
{0111x \ {01110, 01111}}
{
   011101x010 \ {
   0111010010, 0111011010, 011101x010}, 01111x1x11 \ {
   0111101111, 0111101011, 0111101011, 01111x1x11}}

{xx1x1 \ {x1101, x01x1, 00101}}
{0011x \ {00110, 00111}}
{
   00111xx111 \ {
   00111x0111, 00111xx111}}

{}
{x1x0x \ {x1101, x100x, 11x01}}
{}

{xx011 \ {x0011, 10011, 0x011}, xx00x \ {1x000, 01000, 01000}}
{}
{}

{1x001 \ {11001, 10001}, 10xx0 \ {10x00, 10100, 100x0}}
{1x011 \ {11011, 10011, 10011}}
{}

{xxx1x \ {x1x11, xx11x, 1011x}, x1x11 \ {11111, 11011, 01111}}
{x01x0 \ {x0100, x0110, 10110}}
{
   x0110xxx10 \ {
   x0110xx110, x011010110, x0110xxx10, 10110xxx10}}

{x0xx0 \ {10000, 00100, x0x00}}
{00xx1 \ {00001, 001x1, 00011}, 1101x \ {11010}, 01x0x \ {01001, 01x01, 0100x}}
{
   11010x0x10 \ {
   11010x0x10}, 01x00x0x00 \ {
   01x0010000, 01x0000100, 01x00x0x00, 01000x0x00}}

{x1x10 \ {11x10, x1110, 01x10}, 110xx \ {1101x, 11000, 11010}}
{1011x \ {10110}}
{
   10110x1x10 \ {
   1011011x10, 10110x1110, 1011001x10, 10110x1x10}, 1011x1101x \ {
   1011111010, 1011011011, 1011x1101x, 1011x11010, 101101101x}}

{1xxx1 \ {11111, 1x011, 10xx1}, 110xx \ {11000, 1101x, 110x1}}
{1xx0x \ {11x00, 10x0x, 10x01}}
{
   1xx011xx01 \ {
   1xx0110x01, 10x011xx01, 10x011xx01}, 1xx0x1100x \ {
   1xx0111000, 1xx0011001, 1xx0x11000, 1xx0x11001, 11x001100x, 10x0x1100x, 10x011100x}}

{x1xxx \ {11x10, 11100, 010xx}}
{}
{}

{01x00 \ {01100, 01000}}
{1xx1x \ {11x10, 11010, 1x111}, 10x10 \ {10110}}
{}

{}
{0x010 \ {01010}, xx101 \ {11101, 00101, 01101}}
{}

{000xx \ {000x0, 0001x, 00011}}
{x11xx \ {x1110, 111xx, x11x0}, x101x \ {x1011, 11011}}
{
   x11xx000xx \ {
   x11x1000x0, x11x0000x1, x111x0000x, x110x0001x, x11xx000x0, x11xx0001x, x11xx00011, x1110000xx, 111xx000xx, x11x0000xx}, x101x0001x \ {
   x101100010, x101000011, x101x00010, x101x0001x, x101x00011, x10110001x, 110110001x}}

{01x1x \ {0111x, 01011}}
{0xxx0 \ {00100, 01110, 0x010}, xx000 \ {0x000, 10000, 10000}}
{
   0xx1001x10 \ {
   0xx1001110, 0111001x10, 0x01001x10}}

{x100x \ {01000, 0100x, 11001}}
{11xx1 \ {11111, 111x1}, x1xx0 \ {11x00, 11100, x1110}}
{
   11x01x1001 \ {
   11x0101001, 11x0111001, 11101x1001}, x1x00x1000 \ {
   x1x0001000, x1x0001000, 11x00x1000, 11100x1000}}

{x1xxx \ {11xxx, 1101x, 0111x}, 1xxx1 \ {1x0x1, 10001, 11x01}}
{x00x1 \ {000x1, 00001, x0001}, xx11x \ {x111x, 0x11x, 0x111}}
{
   x00x1x1xx1 \ {
   x0011x1x01, x0001x1x11, x00x111xx1, x00x111011, x00x101111, 000x1x1xx1, 00001x1xx1, x0001x1xx1}, xx11xx1x1x \ {
   xx111x1x10, xx110x1x11, xx11x11x1x, xx11x1101x, xx11x0111x, x111xx1x1x, 0x11xx1x1x, 0x111x1x1x}, x00x11xxx1 \ {
   x00111xx01, x00011xx11, x00x11x0x1, x00x110001, x00x111x01, 000x11xxx1, 000011xxx1, x00011xxx1}, xx1111xx11 \ {
   xx1111x011, x11111xx11, 0x1111xx11, 0x1111xx11}}

{11xx0 \ {11x10, 11110}, x0010 \ {00010, 10010}}
{x0xx0 \ {x0000, x0100, 10110}, x0xx0 \ {10000, x0100, 10x00}}
{
   x0xx011xx0 \ {
   x0x1011x00, x0x0011x10, x0xx011x10, x0xx011110, x000011xx0, x010011xx0, 1011011xx0}, x0xx011xx0 \ {
   x0x1011x00, x0x0011x10, x0xx011x10, x0xx011110, 1000011xx0, x010011xx0, 10x0011xx0}, x0x10x0010 \ {
   x0x1000010, x0x1010010}}

{x110x \ {x1100, 11100, 0110x}, xxx01 \ {xx101, 00001, 1xx01}}
{xx101 \ {x0101, x1101, 11101}, x101x \ {11010, x1010}}
{
   xx101x1101 \ {
   xx10101101, x0101x1101, x1101x1101, 11101x1101}, xx101xxx01 \ {
   xx101xx101, xx10100001, xx1011xx01, x0101xxx01, x1101xxx01, 11101xxx01}}

{x000x \ {x0001, 1000x, 0000x}, x0xxx \ {00101, 00x0x, x000x}}
{10xx0 \ {10010, 101x0, 101x0}}
{
   10x00x0000 \ {
   10x0010000, 10x0000000, 10100x0000, 10100x0000}, 10xx0x0xx0 \ {
   10x10x0x00, 10x00x0x10, 10xx000x00, 10xx0x0000, 10010x0xx0, 101x0x0xx0, 101x0x0xx0}}

{01xxx \ {01x00, 01x0x, 01000}, x11xx \ {01101, 0111x, 1110x}}
{1xxx1 \ {10x01, 100x1, 1x101}}
{
   1xxx101xx1 \ {
   1xx1101x01, 1xx0101x11, 1xxx101x01, 10x0101xx1, 100x101xx1, 1x10101xx1}, 1xxx1x11x1 \ {
   1xx11x1101, 1xx01x1111, 1xxx101101, 1xxx101111, 1xxx111101, 10x01x11x1, 100x1x11x1, 1x101x11x1}}

{}
{x001x \ {00010, 10011, 0001x}, 0x0x1 \ {0x011, 0x001, 01001}}
{}

{01xx1 \ {011x1, 010x1}, 0xxx0 \ {01110, 00100, 01000}}
{}
{}

{1xxx0 \ {100x0, 10010, 110x0}}
{x0110 \ {00110}}
{
   x01101xx10 \ {
   x011010010, x011010010, x011011010, 001101xx10}}

{10x1x \ {10x11, 10011, 10111}, 0xx0x \ {0xx01, 0x001, 0x000}}
{x0x11 \ {10x11, 10011, x0011}}
{
   x0x1110x11 \ {
   x0x1110x11, x0x1110011, x0x1110111, 10x1110x11, 1001110x11, x001110x11}}

{10x00 \ {10000, 10100}, 11xxx \ {11001, 11111, 111xx}}
{1x1x1 \ {11111, 11101, 10101}}
{
   1x1x111xx1 \ {
   1x11111x01, 1x10111x11, 1x1x111001, 1x1x111111, 1x1x1111x1, 1111111xx1, 1110111xx1, 1010111xx1}}

{0x01x \ {00011, 0101x, 0101x}, 0xx01 \ {01001, 0x001}}
{10xxx \ {10111, 100xx, 10x01}}
{
   10x1x0x01x \ {
   10x110x010, 10x100x011, 10x1x00011, 10x1x0101x, 10x1x0101x, 101110x01x, 1001x0x01x}, 10x010xx01 \ {
   10x0101001, 10x010x001, 100010xx01, 10x010xx01}}

{}
{11xxx \ {11110, 1110x, 11x1x}, x101x \ {x1011, 0101x, 11011}, 01x1x \ {01x10, 0101x, 0111x}}
{}

{01x0x \ {0100x, 01101, 01101}}
{11xx0 \ {11100, 11010, 11110}, xx1x0 \ {00100, 00110, 00110}, 110xx \ {11010, 110x1, 1101x}}
{
   11x0001x00 \ {
   11x0001000, 1110001x00}, xx10001x00 \ {
   xx10001000, 0010001x00}, 1100x01x0x \ {
   1100101x00, 1100001x01, 1100x0100x, 1100x01101, 1100x01101, 1100101x0x}}

{1001x \ {10010, 10011}, x110x \ {01100, x1101}, xx1xx \ {0x10x, 1x11x, 0x101}}
{}
{}

{xx10x \ {00100, 10101, xx101}}
{1x01x \ {1x011, 1001x}}
{}

{xx0x0 \ {01010, 010x0, xx010}}
{1x1x0 \ {1x100, 111x0}}
{
   1x1x0xx0x0 \ {
   1x110xx000, 1x100xx010, 1x1x001010, 1x1x0010x0, 1x1x0xx010, 1x100xx0x0, 111x0xx0x0}}

{00xx0 \ {000x0}}
{}
{}

{}
{xxx11 \ {01111, 10111, 11x11}, x00x1 \ {000x1, 10001, 00011}, x0xx0 \ {00000, x0x10, 10x00}}
{}

{}
{xxx01 \ {0x001, x1x01, 11x01}, 11x0x \ {11000, 11101, 11x00}}
{}

{1x001 \ {10001, 11001}, 011x1 \ {01111}}
{}
{}

{01x0x \ {01x01, 01000}}
{xxx10 \ {xx110, 01010, 01010}}
{}

{0x000 \ {01000, 00000}}
{0x1x0 \ {00100, 01110, 00110}, xx11x \ {x1111, 10110, 0x111}}
{
   0x1000x000 \ {
   0x10001000, 0x10000000, 001000x000}}

{11x0x \ {1110x, 11101, 11000}, 0xx11 \ {01x11, 0x111}}
{10x00 \ {10100}, x0xx0 \ {00x00, x0110, 00000}}
{
   10x0011x00 \ {
   10x0011100, 10x0011000, 1010011x00}, x0x0011x00 \ {
   x0x0011100, x0x0011000, 00x0011x00, 0000011x00}}

{}
{x1x10 \ {11x10, x1110}, 0xx01 \ {00101, 0x101, 01001}, x001x \ {10010, 1001x, x0010}}
{}

{0xx1x \ {00010, 01x10, 0xx10}, 00xx1 \ {00101, 001x1, 00x01}}
{x1x01 \ {11101, 11001, x1001}, xx1xx \ {111x0, 01111, 0x100}}
{
   xx11x0xx1x \ {
   xx1110xx10, xx1100xx11, xx11x00010, xx11x01x10, xx11x0xx10, 111100xx1x, 011110xx1x}, x1x0100x01 \ {
   x1x0100101, x1x0100101, x1x0100x01, 1110100x01, 1100100x01, x100100x01}, xx1x100xx1 \ {
   xx11100x01, xx10100x11, xx1x100101, xx1x1001x1, xx1x100x01, 0111100xx1}}

{xxxxx \ {x1xxx, 1x111, 010x1}, xx0xx \ {11010, 1x01x, 0x0xx}, 01xx1 \ {01101, 01011, 01x01}}
{10x0x \ {10001, 1010x}, 01x0x \ {01100, 01101}}
{
   10x0xxxx0x \ {
   10x01xxx00, 10x00xxx01, 10x0xx1x0x, 10x0x01001, 10001xxx0x, 1010xxxx0x}, 01x0xxxx0x \ {
   01x01xxx00, 01x00xxx01, 01x0xx1x0x, 01x0x01001, 01100xxx0x, 01101xxx0x}, 10x0xxx00x \ {
   10x01xx000, 10x00xx001, 10x0x0x00x, 10001xx00x, 1010xxx00x}, 01x0xxx00x \ {
   01x01xx000, 01x00xx001, 01x0x0x00x, 01100xx00x, 01101xx00x}, 10x0101x01 \ {
   10x0101101, 10x0101x01, 1000101x01, 1010101x01}, 01x0101x01 \ {
   01x0101101, 01x0101x01, 0110101x01}}

{}
{}
{}

{}
{10x10 \ {10110, 10010, 10010}, x10xx \ {110xx, x1000, 11011}}
{}

{00x1x \ {00x10, 0011x, 00011}, 01x01 \ {01001, 01101}, xxxx0 \ {11010, 01x00, 1xx00}}
{xx11x \ {1x110, 0x11x, x0110}, x1x10 \ {11010, x1010, x1010}}
{
   xx11x00x1x \ {
   xx11100x10, xx11000x11, xx11x00x10, xx11x0011x, xx11x00011, 1x11000x1x, 0x11x00x1x, x011000x1x}, x1x1000x10 \ {
   x1x1000x10, x1x1000110, 1101000x10, x101000x10, x101000x10}, xx110xxx10 \ {
   xx11011010, 1x110xxx10, 0x110xxx10, x0110xxx10}, x1x10xxx10 \ {
   x1x1011010, 11010xxx10, x1010xxx10, x1010xxx10}}

{x10x1 \ {01011, 01001, 010x1}, xx110 \ {00110, x1110, 11110}}
{x0x0x \ {00001, 00x0x, 0010x}, xxx11 \ {1xx11, x1111}}
{
   x0x01x1001 \ {
   x0x0101001, x0x0101001, 00001x1001, 00x01x1001, 00101x1001}, xxx11x1011 \ {
   xxx1101011, xxx1101011, 1xx11x1011, x1111x1011}}

{x001x \ {1001x, 00011}, 1x0x0 \ {11010, 10010, 10010}}
{x1xxx \ {01110, 010x0, 01x0x}, 00x01 \ {00101, 00001}, 0xx01 \ {00001}}
{
   x1x1xx001x \ {
   x1x11x0010, x1x10x0011, x1x1x1001x, x1x1x00011, 01110x001x, 01010x001x}, x1xx01x0x0 \ {
   x1x101x000, x1x001x010, x1xx011010, x1xx010010, x1xx010010, 011101x0x0, 010x01x0x0, 01x001x0x0}}

{xx110 \ {11110, x0110}, x101x \ {0101x, x1011, 1101x}}
{xx00x \ {1x000, 11001, 10001}}
{}

{110xx \ {11000, 110x0}, 1xxx0 \ {1x110, 1x100, 1x0x0}}
{0x0x0 \ {0x000, 01010, 010x0}, xx010 \ {1x010, 11010}}
{
   0x0x0110x0 \ {
   0x01011000, 0x00011010, 0x0x011000, 0x0x0110x0, 0x000110x0, 01010110x0, 010x0110x0}, xx01011010 \ {
   xx01011010, 1x01011010, 1101011010}, 0x0x01xxx0 \ {
   0x0101xx00, 0x0001xx10, 0x0x01x110, 0x0x01x100, 0x0x01x0x0, 0x0001xxx0, 010101xxx0, 010x01xxx0}, xx0101xx10 \ {
   xx0101x110, xx0101x010, 1x0101xx10, 110101xx10}}

{x0010 \ {10010}, 011xx \ {01110, 011x1, 011x1}}
{}
{}

{xx100 \ {11100, x0100, 10100}}
{1xx01 \ {11x01, 11001, 1x101}, x0000 \ {10000}}
{
   x0000xx100 \ {
   x000011100, x0000x0100, x000010100, 10000xx100}}

{01xx1 \ {01101, 01111, 01111}, 0x0xx \ {00010, 010x0, 00001}, 10x0x \ {10x01, 1000x, 1000x}}
{xxx00 \ {01x00, 11100, 01000}, 1xxxx \ {1xx01, 1xxx0, 1x101}}
{
   1xxx101xx1 \ {
   1xx1101x01, 1xx0101x11, 1xxx101101, 1xxx101111, 1xxx101111, 1xx0101xx1, 1x10101xx1}, xxx000x000 \ {
   xxx0001000, 01x000x000, 111000x000, 010000x000}, 1xxxx0x0xx \ {
   1xxx10x0x0, 1xxx00x0x1, 1xx1x0x00x, 1xx0x0x01x, 1xxxx00010, 1xxxx010x0, 1xxxx00001, 1xx010x0xx, 1xxx00x0xx, 1x1010x0xx}, xxx0010x00 \ {
   xxx0010000, xxx0010000, 01x0010x00, 1110010x00, 0100010x00}, 1xx0x10x0x \ {
   1xx0110x00, 1xx0010x01, 1xx0x10x01, 1xx0x1000x, 1xx0x1000x, 1xx0110x0x, 1xx0010x0x, 1x10110x0x}}

{1xxxx \ {10001, 11001, 1x101}}
{0x100 \ {01100}}
{
   0x1001xx00 \ {
   011001xx00}}

{00xx1 \ {000x1, 00001, 00111}}
{}
{}

{x1x00 \ {01000, 11100, 11000}}
{0x1x0 \ {01110, 011x0}}
{
   0x100x1x00 \ {
   0x10001000, 0x10011100, 0x10011000, 01100x1x00}}

{0xx10 \ {01010, 00010, 00x10}, 1x00x \ {1100x, 10000, 1000x}}
{xxxx1 \ {00011, 010x1, 1x1x1}}
{
   xxx011x001 \ {
   xxx0111001, xxx0110001, 010011x001, 1x1011x001}}

{xxxxx \ {x1xx0, 11x01, xx1x0}}
{111xx \ {1110x, 111x0, 111x0}}
{
   111xxxxxxx \ {
   111x1xxxx0, 111x0xxxx1, 1111xxxx0x, 1110xxxx1x, 111xxx1xx0, 111xx11x01, 111xxxx1x0, 1110xxxxxx, 111x0xxxxx, 111x0xxxxx}}

{xx00x \ {1x000, 0x000, 1000x}}
{xx10x \ {0110x, x110x, 00101}, xxxxx \ {x11x0, 0x111, xx1xx}}
{
   xx10xxx00x \ {
   xx101xx000, xx100xx001, xx10x1x000, xx10x0x000, xx10x1000x, 0110xxx00x, x110xxx00x, 00101xx00x}, xxx0xxx00x \ {
   xxx01xx000, xxx00xx001, xxx0x1x000, xxx0x0x000, xxx0x1000x, x1100xx00x, xx10xxx00x}}

{1x011 \ {11011, 10011}, 1x0xx \ {110x1, 1x00x, 1x011}}
{x1xxx \ {x1111, x1xx0, 01110}}
{
   x1x111x011 \ {
   x1x1111011, x1x1110011, x11111x011}, x1xxx1x0xx \ {
   x1xx11x0x0, x1xx01x0x1, x1x1x1x00x, x1x0x1x01x, x1xxx110x1, x1xxx1x00x, x1xxx1x011, x11111x0xx, x1xx01x0xx, 011101x0xx}}

{x00x0 \ {00000, x0010}, 0xxx1 \ {00x11, 00011, 01011}}
{x100x \ {1100x, 0100x, x1000}}
{
   x1000x0000 \ {
   x100000000, 11000x0000, 01000x0000, x1000x0000}, x10010xx01 \ {
   110010xx01, 010010xx01}}

{x011x \ {10111, 0011x, 10110}, xx100 \ {1x100, x1100, 11100}}
{x0100 \ {10100, 00100, 00100}}
{
   x0100xx100 \ {
   x01001x100, x0100x1100, x010011100, 10100xx100, 00100xx100, 00100xx100}}

{1x010 \ {11010, 10010, 10010}, xxxxx \ {0x0xx, x1xx1, x0001}}
{xxx01 \ {00x01, x0x01, x1x01}}
{
   xxx01xxx01 \ {
   xxx010x001, xxx01x1x01, xxx01x0001, 00x01xxx01, x0x01xxx01, x1x01xxx01}}

{}
{1xx0x \ {1x10x, 11000, 1xx00}, x0x00 \ {10x00, x0000}}
{}

{xxx01 \ {0xx01, 00101, 01101}}
{xx0x0 \ {x1010, 10000, 1x000}, 0x11x \ {0x110, 01111, 01111}}
{}

{11x10 \ {11010, 11110}, 0010x \ {00101, 00100, 00100}, 11x11 \ {11011}}
{xxx10 \ {10x10, 0xx10, 11010}, x11xx \ {01110, x11x1, 1111x}, xx1xx \ {1x11x, 1x101, x0100}}
{
   xxx1011x10 \ {
   xxx1011010, xxx1011110, 10x1011x10, 0xx1011x10, 1101011x10}, x111011x10 \ {
   x111011010, x111011110, 0111011x10, 1111011x10}, xx11011x10 \ {
   xx11011010, xx11011110, 1x11011x10}, x110x0010x \ {
   x110100100, x110000101, x110x00101, x110x00100, x110x00100, x11010010x}, xx10x0010x \ {
   xx10100100, xx10000101, xx10x00101, xx10x00100, xx10x00100, 1x1010010x, x01000010x}, x111111x11 \ {
   x111111011, x111111x11, 1111111x11}, xx11111x11 \ {
   xx11111011, 1x11111x11}}

{1xx10 \ {1x110, 11110, 11x10}, xx10x \ {x0101, 01101, 0010x}}
{01xxx \ {01x0x, 01100, 0101x}}
{
   01x101xx10 \ {
   01x101x110, 01x1011110, 01x1011x10, 010101xx10}, 01x0xxx10x \ {
   01x01xx100, 01x00xx101, 01x0xx0101, 01x0x01101, 01x0x0010x, 01x0xxx10x, 01100xx10x}}

{}
{10xxx \ {10001, 100x1}}
{}

{11x1x \ {11111, 11011, 11010}, xx000 \ {00000, 10000}}
{xx101 \ {00101, 11101}, 0x100 \ {00100}, x0x1x \ {0011x, x001x, x0010}}
{
   x0x1x11x1x \ {
   x0x1111x10, x0x1011x11, x0x1x11111, x0x1x11011, x0x1x11010, 0011x11x1x, x001x11x1x, x001011x1x}, 0x100xx000 \ {
   0x10000000, 0x10010000, 00100xx000}}

{xxx00 \ {01100, 00x00, 00000}}
{x10x1 \ {11001, x1001, 11011}}
{}

{000xx \ {0000x, 000x1, 000x0}, 11xxx \ {1100x, 11001, 11x00}}
{1xxxx \ {10xxx, 110x0, 111x0}}
{
   1xxxx000xx \ {
   1xxx1000x0, 1xxx0000x1, 1xx1x0000x, 1xx0x0001x, 1xxxx0000x, 1xxxx000x1, 1xxxx000x0, 10xxx000xx, 110x0000xx, 111x0000xx}, 1xxxx11xxx \ {
   1xxx111xx0, 1xxx011xx1, 1xx1x11x0x, 1xx0x11x1x, 1xxxx1100x, 1xxxx11001, 1xxxx11x00, 10xxx11xxx, 110x011xxx, 111x011xxx}}

{0x10x \ {01100, 00101, 0x101}, 1xx10 \ {11110, 1x010, 1x010}}
{1x11x \ {1111x, 10111, 10110}}
{
   1x1101xx10 \ {
   1x11011110, 1x1101x010, 1x1101x010, 111101xx10, 101101xx10}}

{0xx0x \ {01100, 00x01, 00x00}, x01xx \ {10101, 10110, 1010x}}
{011xx \ {0111x, 0110x, 011x1}}
{
   0110x0xx0x \ {
   011010xx00, 011000xx01, 0110x01100, 0110x00x01, 0110x00x00, 0110x0xx0x, 011010xx0x}, 011xxx01xx \ {
   011x1x01x0, 011x0x01x1, 0111xx010x, 0110xx011x, 011xx10101, 011xx10110, 011xx1010x, 0111xx01xx, 0110xx01xx, 011x1x01xx}}

{001x0 \ {00100, 00110}, 1x0xx \ {10011, 11000, 1000x}}
{x011x \ {0011x, 00111}}
{
   x011000110 \ {
   x011000110, 0011000110}, x011x1x01x \ {
   x01111x010, x01101x011, x011x10011, 0011x1x01x, 001111x01x}}

{01xxx \ {01xx1, 01110, 01110}, 0xxx1 \ {01x01, 000x1, 001x1}}
{00xx1 \ {001x1, 00001}}
{
   00xx101xx1 \ {
   00x1101x01, 00x0101x11, 00xx101xx1, 001x101xx1, 0000101xx1}, 00xx10xxx1 \ {
   00x110xx01, 00x010xx11, 00xx101x01, 00xx1000x1, 00xx1001x1, 001x10xxx1, 000010xxx1}}

{0x10x \ {0110x, 00100, 00101}}
{1x00x \ {10000, 11000, 10001}, x1x0x \ {01101, 11000, 01x0x}}
{
   1x00x0x10x \ {
   1x0010x100, 1x0000x101, 1x00x0110x, 1x00x00100, 1x00x00101, 100000x10x, 110000x10x, 100010x10x}, x1x0x0x10x \ {
   x1x010x100, x1x000x101, x1x0x0110x, x1x0x00100, x1x0x00101, 011010x10x, 110000x10x, 01x0x0x10x}}

{xxxx0 \ {0xx10, 01x00, x0xx0}, x1x0x \ {01101, 11001, 01000}}
{0xx10 \ {01010, 01110, 00110}, xx110 \ {01110, 11110, 10110}}
{
   0xx10xxx10 \ {
   0xx100xx10, 0xx10x0x10, 01010xxx10, 01110xxx10, 00110xxx10}, xx110xxx10 \ {
   xx1100xx10, xx110x0x10, 01110xxx10, 11110xxx10, 10110xxx10}}

{xxxxx \ {1xxxx, x0111, 0x0x1}, 0x01x \ {0001x, 01010, 01010}}
{x0x11 \ {10x11, 00111, 10011}}
{
   x0x11xxx11 \ {
   x0x111xx11, x0x11x0111, x0x110x011, 10x11xxx11, 00111xxx11, 10011xxx11}, x0x110x011 \ {
   x0x1100011, 10x110x011, 001110x011, 100110x011}}

{11xx1 \ {11x11, 110x1}}
{00x1x \ {00x10, 0011x, 00111}}
{
   00x1111x11 \ {
   00x1111x11, 00x1111011, 0011111x11, 0011111x11}}

{110x1 \ {11011}, 001x0 \ {00110, 00100, 00100}}
{xx01x \ {x1010, x101x, xx010}, 1x01x \ {1x011, 1x010, 10010}, xxx0x \ {11001, 01000, 01x00}}
{
   xx01111011 \ {
   xx01111011, x101111011}, 1x01111011 \ {
   1x01111011, 1x01111011}, xxx0111001 \ {
   1100111001}, xx01000110 \ {
   xx01000110, x101000110, x101000110, xx01000110}, 1x01000110 \ {
   1x01000110, 1x01000110, 1001000110}, xxx0000100 \ {
   xxx0000100, xxx0000100, 0100000100, 01x0000100}}

{x1xx0 \ {11x00, 01x00}, xx101 \ {0x101, 10101, 00101}}
{001x0 \ {00100, 00110, 00110}, x1x10 \ {01010, 11110}}
{
   001x0x1xx0 \ {
   00110x1x00, 00100x1x10, 001x011x00, 001x001x00, 00100x1xx0, 00110x1xx0, 00110x1xx0}, x1x10x1x10 \ {
   01010x1x10, 11110x1x10}}

{x1x01 \ {11x01, 11001, 11001}, 11xx0 \ {11x00, 11000, 110x0}, xx10x \ {11101, 01100, 00100}}
{xxxx1 \ {1x1x1, 011x1, xxx11}, x11x1 \ {11101, 01101, 11111}}
{
   xxx01x1x01 \ {
   xxx0111x01, xxx0111001, xxx0111001, 1x101x1x01, 01101x1x01}, x1101x1x01 \ {
   x110111x01, x110111001, x110111001, 11101x1x01, 01101x1x01}, xxx01xx101 \ {
   xxx0111101, 1x101xx101, 01101xx101}, x1101xx101 \ {
   x110111101, 11101xx101, 01101xx101}}

{xx1x0 \ {111x0, 1x100, 0x1x0}, 1x0xx \ {1100x, 1x0x0, 11011}, xxxx1 \ {01011, 10111, 01xx1}}
{1xxxx \ {1x1xx, 1111x, 10x00}}
{
   1xxx0xx1x0 \ {
   1xx10xx100, 1xx00xx110, 1xxx0111x0, 1xxx01x100, 1xxx00x1x0, 1x1x0xx1x0, 11110xx1x0, 10x00xx1x0}, 1xxxx1x0xx \ {
   1xxx11x0x0, 1xxx01x0x1, 1xx1x1x00x, 1xx0x1x01x, 1xxxx1100x, 1xxxx1x0x0, 1xxxx11011, 1x1xx1x0xx, 1111x1x0xx, 10x001x0xx}, 1xxx1xxxx1 \ {
   1xx11xxx01, 1xx01xxx11, 1xxx101011, 1xxx110111, 1xxx101xx1, 1x1x1xxxx1, 11111xxxx1}}

{xx011 \ {01011, x1011, 00011}, x01xx \ {001xx, 0011x, 1010x}}
{x11xx \ {x11x1, 111xx, 011x0}, x0x1x \ {10x11, 10010}}
{
   x1111xx011 \ {
   x111101011, x1111x1011, x111100011, x1111xx011, 11111xx011}, x0x11xx011 \ {
   x0x1101011, x0x11x1011, x0x1100011, 10x11xx011}, x11xxx01xx \ {
   x11x1x01x0, x11x0x01x1, x111xx010x, x110xx011x, x11xx001xx, x11xx0011x, x11xx1010x, x11x1x01xx, 111xxx01xx, 011x0x01xx}, x0x1xx011x \ {
   x0x11x0110, x0x10x0111, x0x1x0011x, x0x1x0011x, 10x11x011x, 10010x011x}}

{x000x \ {0000x, 00001, x0000}, 0000x \ {00000}}
{00x1x \ {00011, 00111}}
{}

{x111x \ {11111}}
{011xx \ {011x0, 0111x, 0111x}, x1xx1 \ {x1x11, x1111, 11111}}
{
   0111xx111x \ {
   01111x1110, 01110x1111, 0111x11111, 01110x111x, 0111xx111x, 0111xx111x}, x1x11x1111 \ {
   x1x1111111, x1x11x1111, x1111x1111, 11111x1111}}

{1xx1x \ {11x1x, 10111}, x011x \ {0011x, 1011x, 10111}, x110x \ {x1100, x1101, 01100}}
{0xx11 \ {01x11, 01111, 00111}, x1001 \ {11001, 01001}}
{
   0xx111xx11 \ {
   0xx1111x11, 0xx1110111, 01x111xx11, 011111xx11, 001111xx11}, 0xx11x0111 \ {
   0xx1100111, 0xx1110111, 0xx1110111, 01x11x0111, 01111x0111, 00111x0111}, x1001x1101 \ {
   x1001x1101, 11001x1101, 01001x1101}}

{1x10x \ {10101, 10100, 11100}, 00xx0 \ {00100, 00x00, 00x00}}
{xx110 \ {11110, 1x110, 00110}, 0x0xx \ {01000, 010xx, 010x1}, x01x0 \ {001x0, 101x0}}
{
   0x00x1x10x \ {
   0x0011x100, 0x0001x101, 0x00x10101, 0x00x10100, 0x00x11100, 010001x10x, 0100x1x10x, 010011x10x}, x01001x100 \ {
   x010010100, x010011100, 001001x100, 101001x100}, xx11000x10 \ {
   1111000x10, 1x11000x10, 0011000x10}, 0x0x000xx0 \ {
   0x01000x00, 0x00000x10, 0x0x000100, 0x0x000x00, 0x0x000x00, 0100000xx0, 010x000xx0}, x01x000xx0 \ {
   x011000x00, x010000x10, x01x000100, x01x000x00, x01x000x00, 001x000xx0, 101x000xx0}}

{xxx10 \ {11x10, 10110, x0010}}
{01x00 \ {01000}}
{}

{}
{xx111 \ {x1111, 1x111, 11111}}
{}

{x0101 \ {00101, 10101}, x1x01 \ {01101, x1101, x1101}}
{xxx1x \ {1xx1x, xxx10, x0x1x}, 0xx10 \ {01110, 00110, 00110}}
{}

{0x11x \ {0111x, 0x111, 0011x}, 0xx0x \ {0010x, 00000, 01100}}
{}
{}

{1xxx1 \ {10x11, 1xx11, 100x1}, x0011 \ {10011, 00011}}
{}
{}

{}
{01x11 \ {01111, 01011}, 0x11x \ {0111x}}
{}

{1xx10 \ {1x010, 1x110, 10010}, xx00x \ {0x00x, 10000, 0x000}}
{x1x0x \ {01000, x1001, x100x}}
{
   x1x0xxx00x \ {
   x1x01xx000, x1x00xx001, x1x0x0x00x, x1x0x10000, x1x0x0x000, 01000xx00x, x1001xx00x, x100xxx00x}}

{0xx11 \ {00111, 01011, 01x11}, 0x1xx \ {00110, 00100, 001x1}}
{01xx1 \ {01111, 01011, 01x11}, xxx10 \ {11x10, 0x110, x1110}}
{
   01x110xx11 \ {
   01x1100111, 01x1101011, 01x1101x11, 011110xx11, 010110xx11, 01x110xx11}, 01xx10x1x1 \ {
   01x110x101, 01x010x111, 01xx1001x1, 011110x1x1, 010110x1x1, 01x110x1x1}, xxx100x110 \ {
   xxx1000110, 11x100x110, 0x1100x110, x11100x110}}

{1x000 \ {11000, 10000, 10000}, 00xxx \ {00100, 0000x}}
{xxx1x \ {x0011, 10x11, x001x}, x1xx1 \ {x1111, x11x1, 01101}}
{
   xxx1x00x1x \ {
   xxx1100x10, xxx1000x11, x001100x1x, 10x1100x1x, x001x00x1x}, x1xx100xx1 \ {
   x1x1100x01, x1x0100x11, x1xx100001, x111100xx1, x11x100xx1, 0110100xx1}}

{1100x \ {11001, 11000}, 0x1x1 \ {01111, 001x1, 00111}}
{xx01x \ {x101x, 11011, x0010}, xx1x0 \ {1x110, 0x110}}
{
   xx10011000 \ {
   xx10011000}, xx0110x111 \ {
   xx01101111, xx01100111, xx01100111, x10110x111, 110110x111}}

{1110x \ {11101, 11100, 11100}}
{010x1 \ {01011, 01001}, 1xx1x \ {11110, 11011, 1x110}}
{
   0100111101 \ {
   0100111101, 0100111101}}

{10x01 \ {10001}}
{x00xx \ {x0010, 000xx, 10011}, x1x00 \ {11100, 01x00}}
{
   x000110x01 \ {
   x000110001, 0000110x01}}

{001x0 \ {00100, 00110}}
{11xxx \ {11100, 1101x}, xx101 \ {x1101, 1x101, 10101}, 10x10 \ {10110}}
{
   11xx0001x0 \ {
   11x1000100, 11x0000110, 11xx000100, 11xx000110, 11100001x0, 11010001x0}, 10x1000110 \ {
   10x1000110, 1011000110}}

{}
{01x01 \ {01001}}
{}

{x0xx1 \ {x01x1, x0001, 00xx1}, xx1x1 \ {00111, 10111, 1x1x1}}
{x11xx \ {x1111, 0111x, 0110x}, 11x0x \ {1100x, 11101}}
{
   x11x1x0xx1 \ {
   x1111x0x01, x1101x0x11, x11x1x01x1, x11x1x0001, x11x100xx1, x1111x0xx1, 01111x0xx1, 01101x0xx1}, 11x01x0x01 \ {
   11x01x0101, 11x01x0001, 11x0100x01, 11001x0x01, 11101x0x01}, x11x1xx1x1 \ {
   x1111xx101, x1101xx111, x11x100111, x11x110111, x11x11x1x1, x1111xx1x1, 01111xx1x1, 01101xx1x1}, 11x01xx101 \ {
   11x011x101, 11001xx101, 11101xx101}}

{00xx1 \ {00001, 00x01, 00111}}
{100xx \ {10010, 1000x, 10000}, 0xx00 \ {00000, 00100, 01000}, xxxx1 \ {x1x01, 00101, 11xx1}}
{
   100x100xx1 \ {
   1001100x01, 1000100x11, 100x100001, 100x100x01, 100x100111, 1000100xx1}, xxxx100xx1 \ {
   xxx1100x01, xxx0100x11, xxxx100001, xxxx100x01, xxxx100111, x1x0100xx1, 0010100xx1, 11xx100xx1}}

{x00xx \ {x0010, 1001x, x0000}, 010x1 \ {01011, 01001}}
{x0x1x \ {10x1x, x0010, x001x}, 0111x \ {01110, 01111}}
{
   x0x1xx001x \ {
   x0x11x0010, x0x10x0011, x0x1xx0010, x0x1x1001x, 10x1xx001x, x0010x001x, x001xx001x}, 0111xx001x \ {
   01111x0010, 01110x0011, 0111xx0010, 0111x1001x, 01110x001x, 01111x001x}, x0x1101011 \ {
   x0x1101011, 10x1101011, x001101011}, 0111101011 \ {
   0111101011, 0111101011}}

{1xxx1 \ {10101, 100x1, 11xx1}, x0101 \ {10101, 00101}}
{0x00x \ {01000, 0x001, 0100x}}
{
   0x0011xx01 \ {
   0x00110101, 0x00110001, 0x00111x01, 0x0011xx01, 010011xx01}, 0x001x0101 \ {
   0x00110101, 0x00100101, 0x001x0101, 01001x0101}}

{10x0x \ {10x01, 10001}}
{0x1x1 \ {01101, 0x101, 0x101}}
{
   0x10110x01 \ {
   0x10110x01, 0x10110001, 0110110x01, 0x10110x01, 0x10110x01}}

{11xx1 \ {11001, 11011}, xx0x0 \ {1x0x0, x0010, x00x0}}
{1xx01 \ {11x01, 10x01, 10101}, x0xxx \ {10101, x000x, 10xx1}, xx10x \ {01100, 01101, 0110x}}
{
   1xx0111x01 \ {
   1xx0111001, 11x0111x01, 10x0111x01, 1010111x01}, x0xx111xx1 \ {
   x0x1111x01, x0x0111x11, x0xx111001, x0xx111011, 1010111xx1, x000111xx1, 10xx111xx1}, xx10111x01 \ {
   xx10111001, 0110111x01, 0110111x01}, x0xx0xx0x0 \ {
   x0x10xx000, x0x00xx010, x0xx01x0x0, x0xx0x0010, x0xx0x00x0, x0000xx0x0}, xx100xx000 \ {
   xx1001x000, xx100x0000, 01100xx000, 01100xx000}}

{xxx1x \ {00110, xx111, x001x}}
{00x11 \ {00111, 00011}, 0xxx0 \ {01x10, 00100}, x010x \ {10101, x0100, 00100}}
{
   00x11xxx11 \ {
   00x11xx111, 00x11x0011, 00111xxx11, 00011xxx11}, 0xx10xxx10 \ {
   0xx1000110, 0xx10x0010, 01x10xxx10}}

{0xxx0 \ {00000, 0x110, 00110}}
{x11x0 \ {x1110, 01110, x1100}, x00x1 \ {00001, 10001}}
{
   x11x00xxx0 \ {
   x11100xx00, x11000xx10, x11x000000, x11x00x110, x11x000110, x11100xxx0, 011100xxx0, x11000xxx0}}

{}
{0x1x0 \ {011x0, 01110, 00100}}
{}

{1x0x1 \ {110x1, 100x1, 10001}}
{00x10 \ {00010, 00110}, x10xx \ {x1011, 11001, 01010}}
{
   x10x11x0x1 \ {
   x10111x001, x10011x011, x10x1110x1, x10x1100x1, x10x110001, x10111x0x1, 110011x0x1}}

{111x0 \ {11100}, 0x1xx \ {0010x, 01101, 011x0}}
{xx0x0 \ {x0000, 0x010, x1000}}
{
   xx0x0111x0 \ {
   xx01011100, xx00011110, xx0x011100, x0000111x0, 0x010111x0, x1000111x0}, xx0x00x1x0 \ {
   xx0100x100, xx0000x110, xx0x000100, xx0x0011x0, x00000x1x0, 0x0100x1x0, x10000x1x0}}

{x0x1x \ {x0111, 0001x, 1011x}, 111x0 \ {11110, 11100, 11100}}
{}
{}

{x0x00 \ {00x00, x0000, x0100}, 0x101 \ {01101}}
{1xxxx \ {10x11, 1x101, 10x1x}, 0x1x0 \ {011x0, 0x110}}
{
   1xx00x0x00 \ {
   1xx0000x00, 1xx00x0000, 1xx00x0100}, 0x100x0x00 \ {
   0x10000x00, 0x100x0000, 0x100x0100, 01100x0x00}, 1xx010x101 \ {
   1xx0101101, 1x1010x101}}

{xx110 \ {10110, 01110, 0x110}}
{1111x \ {11110, 11111}}
{
   11110xx110 \ {
   1111010110, 1111001110, 111100x110, 11110xx110}}

{x10xx \ {110xx, 1100x, 110x0}, xx0xx \ {x00x1, xx010, x10x1}}
{0011x \ {00111}, xx0x0 \ {100x0, 01000, 1x010}, 0xx0x \ {0x101, 01100, 00001}}
{
   0011xx101x \ {
   00111x1010, 00110x1011, 0011x1101x, 0011x11010, 00111x101x}, xx0x0x10x0 \ {
   xx010x1000, xx000x1010, xx0x0110x0, xx0x011000, xx0x0110x0, 100x0x10x0, 01000x10x0, 1x010x10x0}, 0xx0xx100x \ {
   0xx01x1000, 0xx00x1001, 0xx0x1100x, 0xx0x1100x, 0xx0x11000, 0x101x100x, 01100x100x, 00001x100x}, 0011xxx01x \ {
   00111xx010, 00110xx011, 0011xx0011, 0011xxx010, 0011xx1011, 00111xx01x}, xx0x0xx0x0 \ {
   xx010xx000, xx000xx010, xx0x0xx010, 100x0xx0x0, 01000xx0x0, 1x010xx0x0}, 0xx0xxx00x \ {
   0xx01xx000, 0xx00xx001, 0xx0xx0001, 0xx0xx1001, 0x101xx00x, 01100xx00x, 00001xx00x}}

{x1x10 \ {01110, 11110, x1010}, x1xxx \ {1111x, x1xx0, x1011}}
{x1011 \ {11011, 01011}, 10x0x \ {1000x, 10001, 10x00}, 10x1x \ {10x11, 10x10, 10111}}
{
   10x10x1x10 \ {
   10x1001110, 10x1011110, 10x10x1010, 10x10x1x10}, x1011x1x11 \ {
   x101111111, x1011x1011, 11011x1x11, 01011x1x11}, 10x0xx1x0x \ {
   10x01x1x00, 10x00x1x01, 10x0xx1x00, 1000xx1x0x, 10001x1x0x, 10x00x1x0x}, 10x1xx1x1x \ {
   10x11x1x10, 10x10x1x11, 10x1x1111x, 10x1xx1x10, 10x1xx1011, 10x11x1x1x, 10x10x1x1x, 10111x1x1x}}

{0110x \ {01100, 01101}, x1x00 \ {x1100, 01000}}
{00xx0 \ {001x0, 00010, 00x00}, 00xx1 \ {00x11, 00111, 00001}}
{
   00x0001100 \ {
   00x0001100, 0010001100, 00x0001100}, 00x0101101 \ {
   00x0101101, 0000101101}, 00x00x1x00 \ {
   00x00x1100, 00x0001000, 00100x1x00, 00x00x1x00}}

{x11xx \ {1110x, 111xx, x11x0}, 1x1x1 \ {11101, 11111, 10111}}
{x011x \ {00110, 0011x, x0111}, 011x1 \ {01101}}
{
   x011xx111x \ {
   x0111x1110, x0110x1111, x011x1111x, x011xx1110, 00110x111x, 0011xx111x, x0111x111x}, 011x1x11x1 \ {
   01111x1101, 01101x1111, 011x111101, 011x1111x1, 01101x11x1}, x01111x111 \ {
   x011111111, x011110111, 001111x111, x01111x111}, 011x11x1x1 \ {
   011111x101, 011011x111, 011x111101, 011x111111, 011x110111, 011011x1x1}}

{1x0x1 \ {11001, 1x011, 1x011}, x001x \ {10010, 0001x}}
{0001x \ {00011, 00010}, 00x10 \ {00010, 00110}}
{
   000111x011 \ {
   000111x011, 000111x011, 000111x011}, 0001xx001x \ {
   00011x0010, 00010x0011, 0001x10010, 0001x0001x, 00011x001x, 00010x001x}, 00x10x0010 \ {
   00x1010010, 00x1000010, 00010x0010, 00110x0010}}

{01x01 \ {01001, 01101}}
{01x0x \ {01101, 0100x}}
{
   01x0101x01 \ {
   01x0101001, 01x0101101, 0110101x01, 0100101x01}}

{xx11x \ {x1111, 1x11x, x0111}, x00x1 \ {x0001, 10011, 00001}, x10xx \ {0100x, x100x, x1010}}
{xx0xx \ {10010, 0x00x, x100x}, 0x00x \ {0x000, 0x001, 01000}, 11xx0 \ {11010, 111x0, 11110}}
{
   xx01xxx11x \ {
   xx011xx110, xx010xx111, xx01xx1111, xx01x1x11x, xx01xx0111, 10010xx11x}, 11x10xx110 \ {
   11x101x110, 11010xx110, 11110xx110, 11110xx110}, xx0x1x00x1 \ {
   xx011x0001, xx001x0011, xx0x1x0001, xx0x110011, xx0x100001, 0x001x00x1, x1001x00x1}, 0x001x0001 \ {
   0x001x0001, 0x00100001, 0x001x0001}, xx0xxx10xx \ {
   xx0x1x10x0, xx0x0x10x1, xx01xx100x, xx00xx101x, xx0xx0100x, xx0xxx100x, xx0xxx1010, 10010x10xx, 0x00xx10xx, x100xx10xx}, 0x00xx100x \ {
   0x001x1000, 0x000x1001, 0x00x0100x, 0x00xx100x, 0x000x100x, 0x001x100x, 01000x100x}, 11xx0x10x0 \ {
   11x10x1000, 11x00x1010, 11xx001000, 11xx0x1000, 11xx0x1010, 11010x10x0, 111x0x10x0, 11110x10x0}}

{}
{100xx \ {10011, 10001, 1001x}}
{}

{10x1x \ {10010, 10x11, 10011}, 010x1 \ {01011, 01001}}
{10x10 \ {10110, 10010}}
{
   10x1010x10 \ {
   10x1010010, 1011010x10, 1001010x10}}

{}
{0x0x0 \ {00010, 01000, 010x0}}
{}

{x1001 \ {01001, 11001, 11001}, xx001 \ {01001, x0001, 1x001}}
{0x01x \ {0x011, 01010}}
{}

{x1x1x \ {1111x, 11110, 01011}}
{0x1x0 \ {01100, 01110, 011x0}, x0xxx \ {x00x1, 10010, 000xx}}
{
   0x110x1x10 \ {
   0x11011110, 0x11011110, 01110x1x10, 01110x1x10}, x0x1xx1x1x \ {
   x0x11x1x10, x0x10x1x11, x0x1x1111x, x0x1x11110, x0x1x01011, x0011x1x1x, 10010x1x1x, 0001xx1x1x}}

{xx0x0 \ {0x0x0, 01000, xx010}}
{1x001 \ {11001, 10001, 10001}}
{}

{x000x \ {x0000, x0001, x0001}, 1x0x1 \ {10001, 11001, 1x001}}
{0xx01 \ {01x01, 00001, 01101}, x1xx0 \ {11x10, 01100, x11x0}, xx10x \ {0x101, 1x10x, 11101}}
{
   0xx01x0001 \ {
   0xx01x0001, 0xx01x0001, 01x01x0001, 00001x0001, 01101x0001}, x1x00x0000 \ {
   x1x00x0000, 01100x0000, x1100x0000}, xx10xx000x \ {
   xx101x0000, xx100x0001, xx10xx0000, xx10xx0001, xx10xx0001, 0x101x000x, 1x10xx000x, 11101x000x}, 0xx011x001 \ {
   0xx0110001, 0xx0111001, 0xx011x001, 01x011x001, 000011x001, 011011x001}, xx1011x001 \ {
   xx10110001, xx10111001, xx1011x001, 0x1011x001, 1x1011x001, 111011x001}}

{00xx0 \ {00110, 00x00}}
{00xx0 \ {001x0, 00100, 000x0}, 1010x \ {10100, 10101}, x10xx \ {x1000, x10x0, 110x0}}
{
   00xx000xx0 \ {
   00x1000x00, 00x0000x10, 00xx000110, 00xx000x00, 001x000xx0, 0010000xx0, 000x000xx0}, 1010000x00 \ {
   1010000x00, 1010000x00}, x10x000xx0 \ {
   x101000x00, x100000x10, x10x000110, x10x000x00, x100000xx0, x10x000xx0, 110x000xx0}}

{x00xx \ {1000x, 100x0, 0001x}, x1xx1 \ {111x1, x1011, 11xx1}, 00xx1 \ {00101, 000x1, 001x1}}
{0x10x \ {0110x, 0010x, 00100}, x0101 \ {10101, 00101}, x10xx \ {11011, 11010, x10x0}}
{
   0x10xx000x \ {
   0x101x0000, 0x100x0001, 0x10x1000x, 0x10x10000, 0110xx000x, 0010xx000x, 00100x000x}, x0101x0001 \ {
   x010110001, 10101x0001, 00101x0001}, x10xxx00xx \ {
   x10x1x00x0, x10x0x00x1, x101xx000x, x100xx001x, x10xx1000x, x10xx100x0, x10xx0001x, 11011x00xx, 11010x00xx, x10x0x00xx}, 0x101x1x01 \ {
   0x10111101, 0x10111x01, 01101x1x01, 00101x1x01}, x0101x1x01 \ {
   x010111101, x010111x01, 10101x1x01, 00101x1x01}, x10x1x1xx1 \ {
   x1011x1x01, x1001x1x11, x10x1111x1, x10x1x1011, x10x111xx1, 11011x1xx1}, 0x10100x01 \ {
   0x10100101, 0x10100001, 0x10100101, 0110100x01, 0010100x01}, x010100x01 \ {
   x010100101, x010100001, x010100101, 1010100x01, 0010100x01}, x10x100xx1 \ {
   x101100x01, x100100x11, x10x100101, x10x1000x1, x10x1001x1, 1101100xx1}}

{}
{x0x10 \ {00110, x0110}, 0xx11 \ {00011, 01x11}}
{}

{}
{x10x1 \ {01001, x1011, 01011}, 0xx01 \ {0x001, 00101, 01101}}
{}

{1x110 \ {10110, 11110, 11110}}
{x11x1 \ {11101, x1101, x1101}}
{}

{1x11x \ {11110, 10111, 11111}}
{1xxx0 \ {1x000, 10x00, 110x0}}
{
   1xx101x110 \ {
   1xx1011110, 110101x110}}

{}
{x0xx1 \ {10101, 100x1, x0101}, 1x0xx \ {1001x, 11010}}
{}

{xxxx1 \ {01101, 01001, xx0x1}, 00x10 \ {00110, 00010, 00010}}
{0xx10 \ {00010, 01x10, 01010}, 1x010 \ {11010, 10010}}
{
   0xx1000x10 \ {
   0xx1000110, 0xx1000010, 0xx1000010, 0001000x10, 01x1000x10, 0101000x10}, 1x01000x10 \ {
   1x01000110, 1x01000010, 1x01000010, 1101000x10, 1001000x10}}

{01x1x \ {01x11, 01011}}
{00xx1 \ {001x1, 00101, 00111}, x101x \ {11010, 11011}}
{
   00x1101x11 \ {
   00x1101x11, 00x1101011, 0011101x11, 0011101x11}, x101x01x1x \ {
   x101101x10, x101001x11, x101x01x11, x101x01011, 1101001x1x, 1101101x1x}}

{}
{}
{}

{}
{x000x \ {10001, 1000x, 10000}}
{}

{00xxx \ {00111, 00011, 00x1x}, 010x1 \ {01001, 01011}}
{xxx11 \ {x1111, x0x11, 0x011}, 1x0x1 \ {100x1, 110x1, 10001}}
{
   xxx1100x11 \ {
   xxx1100111, xxx1100011, xxx1100x11, x111100x11, x0x1100x11, 0x01100x11}, 1x0x100xx1 \ {
   1x01100x01, 1x00100x11, 1x0x100111, 1x0x100011, 1x0x100x11, 100x100xx1, 110x100xx1, 1000100xx1}, xxx1101011 \ {
   xxx1101011, x111101011, x0x1101011, 0x01101011}, 1x0x1010x1 \ {
   1x01101001, 1x00101011, 1x0x101001, 1x0x101011, 100x1010x1, 110x1010x1, 10001010x1}}

{x0x1x \ {00110, 1011x, x0011}}
{}
{}

{01x1x \ {01x10, 01111, 01111}, x0x01 \ {10001, 10101, x0101}}
{x110x \ {11101, 01100}, xxx01 \ {11001, 0x101, 01101}}
{
   x1101x0x01 \ {
   x110110001, x110110101, x1101x0101, 11101x0x01}, xxx01x0x01 \ {
   xxx0110001, xxx0110101, xxx01x0101, 11001x0x01, 0x101x0x01, 01101x0x01}}

{1xx0x \ {1x000, 11100, 10000}, 1x01x \ {10011, 1001x}}
{x11xx \ {111xx, x110x, x11x0}}
{
   x110x1xx0x \ {
   x11011xx00, x11001xx01, x110x1x000, x110x11100, x110x10000, 1110x1xx0x, x110x1xx0x, x11001xx0x}, x111x1x01x \ {
   x11111x010, x11101x011, x111x10011, x111x1001x, 1111x1x01x, x11101x01x}}

{}
{}
{}

{xx010 \ {11010, 0x010}}
{xxx10 \ {10110, 10x10, x1010}, 1x011 \ {11011, 10011}}
{
   xxx10xx010 \ {
   xxx1011010, xxx100x010, 10110xx010, 10x10xx010, x1010xx010}}

{0x0xx \ {0101x, 01011, 010x0}, 1x001 \ {10001, 11001, 11001}}
{xx0x1 \ {x10x1, 010x1, 01001}}
{
   xx0x10x0x1 \ {
   xx0110x001, xx0010x011, xx0x101011, xx0x101011, x10x10x0x1, 010x10x0x1, 010010x0x1}, xx0011x001 \ {
   xx00110001, xx00111001, xx00111001, x10011x001, 010011x001, 010011x001}}

{x0010 \ {10010, 00010}, 10x00 \ {10100, 10000}}
{x1x1x \ {0111x, 01011}, x1xx0 \ {x11x0, 01000, 01110}}
{
   x1x10x0010 \ {
   x1x1010010, x1x1000010, 01110x0010}, x1x0010x00 \ {
   x1x0010100, x1x0010000, x110010x00, 0100010x00}}

{x11x1 \ {111x1, 011x1, 11101}, x0x01 \ {10101, 10x01, x0001}}
{xx10x \ {x010x, x1101, 1x10x}, x11x0 \ {011x0, 11100}}
{
   xx101x1101 \ {
   xx10111101, xx10101101, xx10111101, x0101x1101, x1101x1101, 1x101x1101}, xx101x0x01 \ {
   xx10110101, xx10110x01, xx101x0001, x0101x0x01, x1101x0x01, 1x101x0x01}}

{x1x11 \ {11111, x1111, 11x11}, x1x01 \ {01101, x1101, 01x01}}
{10xx1 \ {10011, 10001, 101x1}}
{
   10x11x1x11 \ {
   10x1111111, 10x11x1111, 10x1111x11, 10011x1x11, 10111x1x11}, 10x01x1x01 \ {
   10x0101101, 10x01x1101, 10x0101x01, 10001x1x01, 10101x1x01}}

{xxxx1 \ {0x1x1, 0xxx1, xx0x1}, 1xxxx \ {11xxx, 1x101, 110xx}, 10xx1 \ {10x11, 101x1, 101x1}}
{1101x \ {11011, 11010, 11010}}
{
   11011xxx11 \ {
   110110x111, 110110xx11, 11011xx011, 11011xxx11}, 1101x1xx1x \ {
   110111xx10, 110101xx11, 1101x11x1x, 1101x1101x, 110111xx1x, 110101xx1x, 110101xx1x}, 1101110x11 \ {
   1101110x11, 1101110111, 1101110111, 1101110x11}}

{xxxx0 \ {xxx00, 00010, 01110}, 0x0x0 \ {01000, 00010, 010x0}}
{x1xx0 \ {x1100, 01100, 11x00}, x1010 \ {11010}}
{
   x1xx0xxxx0 \ {
   x1x10xxx00, x1x00xxx10, x1xx0xxx00, x1xx000010, x1xx001110, x1100xxxx0, 01100xxxx0, 11x00xxxx0}, x1010xxx10 \ {
   x101000010, x101001110, 11010xxx10}, x1xx00x0x0 \ {
   x1x100x000, x1x000x010, x1xx001000, x1xx000010, x1xx0010x0, x11000x0x0, 011000x0x0, 11x000x0x0}, x10100x010 \ {
   x101000010, x101001010, 110100x010}}

{}
{x0100 \ {00100}, 00xxx \ {00011, 0011x, 000x1}}
{}

{x10xx \ {010xx, 11010, x1010}, xx100 \ {x0100, 01100}}
{x000x \ {00001, 1000x}, x10x0 \ {11010, x1010, 01010}, xx11x \ {1x11x, 0x110, 1x110}}
{
   x000xx100x \ {
   x0001x1000, x0000x1001, x000x0100x, 00001x100x, 1000xx100x}, x10x0x10x0 \ {
   x1010x1000, x1000x1010, x10x0010x0, x10x011010, x10x0x1010, 11010x10x0, x1010x10x0, 01010x10x0}, xx11xx101x \ {
   xx111x1010, xx110x1011, xx11x0101x, xx11x11010, xx11xx1010, 1x11xx101x, 0x110x101x, 1x110x101x}, x0000xx100 \ {
   x0000x0100, x000001100, 10000xx100}, x1000xx100 \ {
   x1000x0100, x100001100}}

{10xx1 \ {10101, 10x01, 10001}}
{x0xx0 \ {x0110, x0000, 10100}}
{}

{11xxx \ {1110x, 11111, 11100}, 1011x \ {10111, 10110}}
{0x101 \ {00101, 01101}, 10x1x \ {10110, 10010, 10x10}}
{
   0x10111x01 \ {
   0x10111101, 0010111x01, 0110111x01}, 10x1x11x1x \ {
   10x1111x10, 10x1011x11, 10x1x11111, 1011011x1x, 1001011x1x, 10x1011x1x}, 10x1x1011x \ {
   10x1110110, 10x1010111, 10x1x10111, 10x1x10110, 101101011x, 100101011x, 10x101011x}}

{x0xx0 \ {00010, 10000, 00100}, xx0x0 \ {00000, xx000, 010x0}}
{}
{}

{xx1xx \ {10111, x0110, 111x0}}
{00xxx \ {00xx0, 00010}, xxx01 \ {1x001, 01001, 1xx01}}
{
   00xxxxx1xx \ {
   00xx1xx1x0, 00xx0xx1x1, 00x1xxx10x, 00x0xxx11x, 00xxx10111, 00xxxx0110, 00xxx111x0, 00xx0xx1xx, 00010xx1xx}, xxx01xx101 \ {
   1x001xx101, 01001xx101, 1xx01xx101}}

{x1x11 \ {x1011, 01111, 11011}, xx01x \ {10010, 0001x, 0x01x}}
{0x1x1 \ {0x111, 01111, 011x1}, 0xxxx \ {01x0x, 0x10x, 01x00}}
{
   0x111x1x11 \ {
   0x111x1011, 0x11101111, 0x11111011, 0x111x1x11, 01111x1x11, 01111x1x11}, 0xx11x1x11 \ {
   0xx11x1011, 0xx1101111, 0xx1111011}, 0x111xx011 \ {
   0x11100011, 0x1110x011, 0x111xx011, 01111xx011, 01111xx011}, 0xx1xxx01x \ {
   0xx11xx010, 0xx10xx011, 0xx1x10010, 0xx1x0001x, 0xx1x0x01x}}

{xxx00 \ {0xx00, 00000, 10x00}}
{0010x \ {00101, 00100}}
{
   00100xxx00 \ {
   001000xx00, 0010000000, 0010010x00, 00100xxx00}}

{}
{0xx1x \ {0xx10, 00111, 00x1x}, 10x1x \ {1001x}}
{}

{xx100 \ {00100, 0x100, 01100}, 1x011 \ {10011, 11011}}
{11x1x \ {11011, 1111x}}
{
   11x111x011 \ {
   11x1110011, 11x1111011, 110111x011, 111111x011}}

{1x01x \ {10011, 1101x, 1101x}, 0100x \ {01001, 01000}}
{x0xx1 \ {10001, x0011, x0111}, 0xx00 \ {01x00, 00000, 0x000}}
{
   x0x111x011 \ {
   x0x1110011, x0x1111011, x0x1111011, x00111x011, x01111x011}, x0x0101001 \ {
   x0x0101001, 1000101001}, 0xx0001000 \ {
   0xx0001000, 01x0001000, 0000001000, 0x00001000}}

{xxx11 \ {0x011, 00011, xx011}, 1xxx1 \ {1xx11, 10xx1, 11111}}
{x1000 \ {11000, 01000}}
{}

{00xxx \ {0001x, 00110, 001x1}, 1x010 \ {11010, 10010}}
{0110x \ {01100, 01101, 01101}, x1x00 \ {01x00, 01100, 11000}}
{
   0110x00x0x \ {
   0110100x00, 0110000x01, 0110x00101, 0110000x0x, 0110100x0x, 0110100x0x}, x1x0000x00 \ {
   01x0000x00, 0110000x00, 1100000x00}}

{10x1x \ {10x10, 10010, 1011x}, xx00x \ {0x00x, 11001, 01001}, 010x1 \ {01001, 01011, 01011}}
{x010x \ {x0101, 00101}, 110xx \ {11000, 11011}}
{
   1101x10x1x \ {
   1101110x10, 1101010x11, 1101x10x10, 1101x10010, 1101x1011x, 1101110x1x}, x010xxx00x \ {
   x0101xx000, x0100xx001, x010x0x00x, x010x11001, x010x01001, x0101xx00x, 00101xx00x}, 1100xxx00x \ {
   11001xx000, 11000xx001, 1100x0x00x, 1100x11001, 1100x01001, 11000xx00x}, x010101001 \ {
   x010101001, x010101001, 0010101001}, 110x1010x1 \ {
   1101101001, 1100101011, 110x101001, 110x101011, 110x101011, 11011010x1}}

{0x0x0 \ {01010, 00010, 0x010}, 000xx \ {00011, 00000, 0001x}, 1x100 \ {10100, 11100}}
{x1x11 \ {01x11, x1011, 11011}, x111x \ {11110, x1111, 01111}}
{
   x11100x010 \ {
   x111001010, x111000010, x11100x010, 111100x010}, x1x1100011 \ {
   x1x1100011, x1x1100011, 01x1100011, x101100011, 1101100011}, x111x0001x \ {
   x111100010, x111000011, x111x00011, x111x0001x, 111100001x, x11110001x, 011110001x}}

{x1x1x \ {01110, x1110, x1011}}
{x01x0 \ {10110, x0100, 10100}}
{
   x0110x1x10 \ {
   x011001110, x0110x1110, 10110x1x10}}

{}
{}
{}

{1xxx0 \ {1x000, 10110, 10000}}
{1xx10 \ {10x10, 10010, 10010}, x10x0 \ {01000, 110x0, 01010}, x1xx0 \ {111x0, 01000, x1000}}
{
   1xx101xx10 \ {
   1xx1010110, 10x101xx10, 100101xx10, 100101xx10}, x10x01xxx0 \ {
   x10101xx00, x10001xx10, x10x01x000, x10x010110, x10x010000, 010001xxx0, 110x01xxx0, 010101xxx0}, x1xx01xxx0 \ {
   x1x101xx00, x1x001xx10, x1xx01x000, x1xx010110, x1xx010000, 111x01xxx0, 010001xxx0, x10001xxx0}}

{x10xx \ {0101x, 11000, x1000}, 00xxx \ {000x0, 001x1, 001x1}}
{0x1xx \ {00111, 0110x, 0x101}}
{
   0x1xxx10xx \ {
   0x1x1x10x0, 0x1x0x10x1, 0x11xx100x, 0x10xx101x, 0x1xx0101x, 0x1xx11000, 0x1xxx1000, 00111x10xx, 0110xx10xx, 0x101x10xx}, 0x1xx00xxx \ {
   0x1x100xx0, 0x1x000xx1, 0x11x00x0x, 0x10x00x1x, 0x1xx000x0, 0x1xx001x1, 0x1xx001x1, 0011100xxx, 0110x00xxx, 0x10100xxx}}

{x0000 \ {10000, 00000, 00000}, 0x10x \ {01101, 0110x, 0110x}}
{x1xxx \ {01111, 11x1x, 1110x}}
{
   x1x00x0000 \ {
   x1x0010000, x1x0000000, x1x0000000, 11100x0000}, x1x0x0x10x \ {
   x1x010x100, x1x000x101, x1x0x01101, x1x0x0110x, x1x0x0110x, 1110x0x10x}}

{01x1x \ {01x10, 01110, 01110}}
{0100x \ {01000, 01001, 01001}, 1x000 \ {11000, 10000}, 0x110 \ {00110}}
{
   0x11001x10 \ {
   0x11001x10, 0x11001110, 0x11001110, 0011001x10}}

{x00x0 \ {100x0, 00000, x0010}, 1x110 \ {11110}}
{001xx \ {00110, 001x0}, xxx01 \ {0xx01, 11x01, 11001}}
{
   001x0x00x0 \ {
   00110x0000, 00100x0010, 001x0100x0, 001x000000, 001x0x0010, 00110x00x0, 001x0x00x0}, 001101x110 \ {
   0011011110, 001101x110, 001101x110}}

{xxx1x \ {1x11x, 1xx1x, 01010}, 0x0xx \ {00010, 0x00x, 00011}}
{x1xx0 \ {01xx0, x1000, 111x0}}
{
   x1x10xxx10 \ {
   x1x101x110, x1x101xx10, x1x1001010, 01x10xxx10, 11110xxx10}, x1xx00x0x0 \ {
   x1x100x000, x1x000x010, x1xx000010, x1xx00x000, 01xx00x0x0, x10000x0x0, 111x00x0x0}}

{xxx01 \ {x0001, 0xx01, 1x101}, 00x10 \ {00110, 00010}}
{1x1x1 \ {10101, 101x1, 10111}}
{
   1x101xxx01 \ {
   1x101x0001, 1x1010xx01, 1x1011x101, 10101xxx01, 10101xxx01}}

{1x1x1 \ {10111, 10101, 11111}}
{0xx01 \ {01001, 0x001, 01x01}}
{
   0xx011x101 \ {
   0xx0110101, 010011x101, 0x0011x101, 01x011x101}}

{1x1x1 \ {10101, 10111, 10111}, x0xx1 \ {00101, 00x11, 10111}}
{x11x1 \ {x1111, 01111, 01101}}
{
   x11x11x1x1 \ {
   x11111x101, x11011x111, x11x110101, x11x110111, x11x110111, x11111x1x1, 011111x1x1, 011011x1x1}, x11x1x0xx1 \ {
   x1111x0x01, x1101x0x11, x11x100101, x11x100x11, x11x110111, x1111x0xx1, 01111x0xx1, 01101x0xx1}}

{10x1x \ {10010, 10x11, 10x10}, xxxx1 \ {0xxx1, 10xx1, 1x011}}
{110xx \ {11010, 11001}}
{
   1101x10x1x \ {
   1101110x10, 1101010x11, 1101x10010, 1101x10x11, 1101x10x10, 1101010x1x}, 110x1xxxx1 \ {
   11011xxx01, 11001xxx11, 110x10xxx1, 110x110xx1, 110x11x011, 11001xxxx1}}

{}
{10xx0 \ {10000, 10110}, xxx11 \ {01x11, 01011, x0011}, 0xxx0 \ {01xx0, 0xx10, 0x1x0}}
{}

{00xx1 \ {001x1, 00x01, 000x1}, 0x00x \ {0000x, 01000, 0100x}}
{00x0x \ {00001, 00100}, 01xx1 \ {01101, 01x11, 01x11}}
{
   00x0100x01 \ {
   00x0100101, 00x0100x01, 00x0100001, 0000100x01}, 01xx100xx1 \ {
   01x1100x01, 01x0100x11, 01xx1001x1, 01xx100x01, 01xx1000x1, 0110100xx1, 01x1100xx1, 01x1100xx1}, 00x0x0x00x \ {
   00x010x000, 00x000x001, 00x0x0000x, 00x0x01000, 00x0x0100x, 000010x00x, 001000x00x}, 01x010x001 \ {
   01x0100001, 01x0101001, 011010x001}}

{x1x0x \ {01x01, 11x0x, 11x0x}, x1001 \ {01001}}
{00xx1 \ {00111, 00001, 00011}}
{
   00x01x1x01 \ {
   00x0101x01, 00x0111x01, 00x0111x01, 00001x1x01}, 00x01x1001 \ {
   00x0101001, 00001x1001}}

{x1101 \ {01101, 11101}, 101xx \ {101x0, 10110, 10100}}
{001x0 \ {00100}}
{
   001x0101x0 \ {
   0011010100, 0010010110, 001x0101x0, 001x010110, 001x010100, 00100101x0}}

{xx101 \ {11101, x0101, 00101}}
{1011x \ {10111}, x0x10 \ {x0110, x0010, 10x10}}
{}

{0xx10 \ {01110, 00x10, 01010}}
{100xx \ {1000x, 1001x, 10000}, 0x0x1 \ {00001, 010x1, 00011}, 00xxx \ {0010x, 00xx0, 00001}}
{
   100100xx10 \ {
   1001001110, 1001000x10, 1001001010, 100100xx10}, 00x100xx10 \ {
   00x1001110, 00x1000x10, 00x1001010, 00x100xx10}}

{x01x1 \ {101x1, 001x1, 001x1}}
{xx01x \ {x101x, 1x011, 10011}, 0001x \ {00010, 00011, 00011}}
{
   xx011x0111 \ {
   xx01110111, xx01100111, xx01100111, x1011x0111, 1x011x0111, 10011x0111}, 00011x0111 \ {
   0001110111, 0001100111, 0001100111, 00011x0111, 00011x0111}}

{xx011 \ {11011, 0x011, 01011}}
{x10xx \ {110x1, 01010}}
{
   x1011xx011 \ {
   x101111011, x10110x011, x101101011, 11011xx011}}

{x0x01 \ {00001, 00101, 10101}, 1x011 \ {11011, 10011, 10011}, 11xxx \ {11x1x, 11100, 11011}}
{}
{}

{11x0x \ {1110x, 11x00, 11x01}}
{11x00 \ {11100}}
{
   11x0011x00 \ {
   11x0011100, 11x0011x00, 1110011x00}}

{x0xx0 \ {x00x0, x0010, 00000}}
{xx111 \ {01111, 10111, 00111}}
{}

{xxx10 \ {11110, 1x110, 01010}}
{}
{}

{010xx \ {01010, 0101x}, xxxx0 \ {x1010, 10x10, 01x10}}
{}
{}

{1x1x0 \ {11110, 111x0, 10110}, 000xx \ {000x0, 00001}, x0xx0 \ {10110, 10x10, 101x0}}
{1xxx0 \ {11000, 100x0, 11110}}
{
   1xxx01x1x0 \ {
   1xx101x100, 1xx001x110, 1xxx011110, 1xxx0111x0, 1xxx010110, 110001x1x0, 100x01x1x0, 111101x1x0}, 1xxx0000x0 \ {
   1xx1000000, 1xx0000010, 1xxx0000x0, 11000000x0, 100x0000x0, 11110000x0}, 1xxx0x0xx0 \ {
   1xx10x0x00, 1xx00x0x10, 1xxx010110, 1xxx010x10, 1xxx0101x0, 11000x0xx0, 100x0x0xx0, 11110x0xx0}}

{}
{x10xx \ {x10x1, 110x0, 010x1}, x001x \ {x0011, 10010, 10010}}
{}

{xxx1x \ {x111x, 10111, 1x11x}, 01x11 \ {01011}}
{xxx10 \ {0x010, xx110, xx010}, 010x0 \ {01000, 01010}}
{
   xxx10xxx10 \ {
   xxx10x1110, xxx101x110, 0x010xxx10, xx110xxx10, xx010xxx10}, 01010xxx10 \ {
   01010x1110, 010101x110, 01010xxx10}}

{1xx01 \ {10x01, 10101}}
{1011x \ {10110, 10111, 10111}, x1x1x \ {1101x, x111x, 01x10}}
{}

{}
{0x1x0 \ {001x0, 01110, 0x100}, 0xx11 \ {00x11, 00111, 0x011}}
{}

{xxx1x \ {1011x, 1xx1x, 0x110}, x0x11 \ {x0111, 10x11, 00111}}
{0x10x \ {0010x, 01100, 00101}}
{}

{1xx00 \ {10100, 1x100, 11100}}
{1x0xx \ {10010, 100xx, 110xx}, x00x1 \ {x0011, 00001, 00011}}
{
   1x0001xx00 \ {
   1x00010100, 1x0001x100, 1x00011100, 100001xx00, 110001xx00}}

{001x0 \ {00110, 00100, 00100}}
{0xx11 \ {00x11, 01111, 00111}, xx01x \ {x101x, 10011, 1001x}}
{
   xx01000110 \ {
   xx01000110, x101000110, 1001000110}}

{xxx00 \ {1xx00, 00x00, 00100}}
{111xx \ {111x0, 11101, 11101}, 01x0x \ {01000, 0110x, 0100x}}
{
   11100xxx00 \ {
   111001xx00, 1110000x00, 1110000100, 11100xxx00}, 01x00xxx00 \ {
   01x001xx00, 01x0000x00, 01x0000100, 01000xxx00, 01100xxx00, 01000xxx00}}

{xx10x \ {x010x, x0101, 0010x}}
{1x0xx \ {1101x, 10001, 10010}, x1xx1 \ {01x11, 01xx1, 11101}}
{
   1x00xxx10x \ {
   1x001xx100, 1x000xx101, 1x00xx010x, 1x00xx0101, 1x00x0010x, 10001xx10x}, x1x01xx101 \ {
   x1x01x0101, x1x01x0101, x1x0100101, 01x01xx101, 11101xx101}}

{1x11x \ {10111, 11111, 1x110}}
{1x011 \ {10011, 11011}, 1xxxx \ {10xx0, 101x0, 10011}}
{
   1x0111x111 \ {
   1x01110111, 1x01111111, 100111x111, 110111x111}, 1xx1x1x11x \ {
   1xx111x110, 1xx101x111, 1xx1x10111, 1xx1x11111, 1xx1x1x110, 10x101x11x, 101101x11x, 100111x11x}}

{01xx0 \ {011x0, 01x00, 01100}, x00x1 \ {00001, 10011}}
{0x10x \ {0010x, 0x100, 00100}, 1000x \ {10000, 10001, 10001}}
{
   0x10001x00 \ {
   0x10001100, 0x10001x00, 0x10001100, 0010001x00, 0x10001x00, 0010001x00}, 1000001x00 \ {
   1000001100, 1000001x00, 1000001100, 1000001x00}, 0x101x0001 \ {
   0x10100001, 00101x0001}, 10001x0001 \ {
   1000100001, 10001x0001, 10001x0001}}

{00x0x \ {00101, 00x00, 0000x}, 10x01 \ {10101, 10001}}
{1xx01 \ {11101, 1x001}}
{
   1xx0100x01 \ {
   1xx0100101, 1xx0100001, 1110100x01, 1x00100x01}, 1xx0110x01 \ {
   1xx0110101, 1xx0110001, 1110110x01, 1x00110x01}}

{}
{xx00x \ {xx001, x000x, 1000x}}
{}

{111x1 \ {11111}, 1x010 \ {11010, 10010}}
{x1x00 \ {01000, 11100, x1000}, 100xx \ {1001x, 10001, 10001}}
{
   100x1111x1 \ {
   1001111101, 1000111111, 100x111111, 10011111x1, 10001111x1, 10001111x1}, 100101x010 \ {
   1001011010, 1001010010, 100101x010}}

{111xx \ {1110x, 11110, 111x1}, 0xx11 \ {00111, 01011, 00011}, xx00x \ {0x001, x0001, 0100x}}
{x10xx \ {0101x, 1100x}}
{
   x10xx111xx \ {
   x10x1111x0, x10x0111x1, x101x1110x, x100x1111x, x10xx1110x, x10xx11110, x10xx111x1, 0101x111xx, 1100x111xx}, x10110xx11 \ {
   x101100111, x101101011, x101100011, 010110xx11}, x100xxx00x \ {
   x1001xx000, x1000xx001, x100x0x001, x100xx0001, x100x0100x, 1100xxx00x}}

{xxx10 \ {10x10, 0xx10, 00010}}
{x1101 \ {01101, 11101}}
{}

{
   11000110000000000001}

{
   00000000000100011011}

{
   00000000000100011011}

{
   11000110000000000001}

{
   00000000000100011011}

{
   11000000000001000110}

empty
{
   }

false
full
{
   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx}

true
{
   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx \ {
   xxxxxxxxxxxxxxxxx1xxxxxxxxxxxxxxxxxxxxxxxxxxxxx0xxxxxxxxxxxx, 
   xxxxxxxxxxxxxxxxx0xxxxxxxxxxxxxxxxxxxxxxxxxxxxx1xxxxxxxxxxxx, 
   xxxxxxxxxxxxxxxx1xxxxxxxxxxxxxxxxxxxxxxxxxxxxx0xxxxxxxxxxxxx, 
   xxxxxxxxxxxxxxxx0xxxxxxxxxxxxxxxxxxxxxxxxxxxxx1xxxxxxxxxxxxx, 
   xxxxxxxxxxxxxxx1xxxxxxxxxxxxxxxxxxxxxxxxxxxxx0xxxxxxxxxxxxxx, 
   xxxxxxxxxxxxxxx0xxxxxxxxxxxxxxxxxxxxxxxxxxxxx1xxxxxxxxxxxxxx, 
   xxxxxxxxxxxxxx1xxxxxxxxxxxxxxxxxxxxxxxxxxxxx0xxxxxxxxxxxxxxx, 
   xxxxxxxxxxxxxx0xxxxxxxxxxxxxxxxxxxxxxxxxxxxx1xxxxxxxxxxxxxxx, 
   xxxxxxxxxxxxx1xxxxxxxxxxxxxxxxxxxxxxxxxxxxx0xxxxxxxxxxxxxxxx, 
   xxxxxxxxxxxxx0xxxxxxxxxxxxxxxxxxxxxxxxxxxxx1xxxxxxxxxxxxxxxx, 
   xxxxxxxxxxxx1xxxxxxxxxxxxxxxxxxxxxxxxxxxxx0xxxxxxxxxxxxxxxxx, 
   xxxxxxxxxxxx0xxxxxxxxxxxxxxxxxxxxxxxxxxxxx1xxxxxxxxxxxxxxxxx}}

{
   }

{
   }

project
{
   xxxxxxxxxxxxxxxxxx}

{
   }

{
   000000111000000110000000000001, 
   000000100000010000000000001000, 
   000000000100010000000000100000}

{
   000000111000000110, 
   000000100000010000, 
   000000000100010000}

t1 before:{
   000000000100010000000000100000}

t1 after:{
   000000000100010000000000100000, 
   000000111000000110000000000001, 
   000000100000010000000000001000}

delta:{
   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx}

{
   001001001000001001, 
   010001001000001001}

{
   001001001000001001}

filter: (= (:var 0) (:var 1)) {xxx \ {x01, x10}}

filter: (or (= (:var 0) (:var 1)) (= (:var 0) (:var 2))) {xxx \ {001, 110}}

filter: (or (= (:var 0) (:var 1)) (= (:var 0) (:var 2))) {xxx \ {001, 110}}

filter interpreted
filter: true {
   xxxxxxxxxxxxxxxxxx}

filter: false {
   }

filter: (= (:var 0) (:var 2)) {
   xxxxxxxxxxxxxxxxxx \ {
   xxxxxxxx0xxxxxxxx1, 
   xxxxxxxx1xxxxxxxx0, 
   xxxxxxx0xxxxxxxx1x, 
   xxxxxxx1xxxxxxxx0x, 
   xxxxxx0xxxxxxxx1xx, 
   xxxxxx1xxxxxxxx0xx}}

filter: (not (= (:var 0) (:var 2))) {
   xxxxxxxx0xxxxxxxx1, 
   xxxxxxxx1xxxxxxxx0, 
   xxxxxxx0xxxxxxxx1x, 
   xxxxxxx1xxxxxxxx0x, 
   xxxxxx0xxxxxxxx1xx, 
   xxxxxx1xxxxxxxx0xx}

filter: (= (:var 0) #b010) {
   xxxxxxxxxxxxxxx010}

filter: (= ((_ extract 2 1) (:var 0)) #b11) {
   xxxxxxxxxxxxxxx11x}

filter: (or (= ((_ extract 2 1) (:var 0)) #b11) (= (:var 3) (:var 4))) {
   xxxxxxxxxxxxxxxxxx \ {
   xx0xx1xxxxxxxxxxxx, 
   xx1xx0xxxxxxxxxxxx, 
   x0xx1xxxxxxxxxxxxx, 
   x1xx0xxxxxxxxxxxxx, 
   0xx1xxxxxxxxxxxxxx, 
   1xx0xxxxxxxxxxxxxx}, 
   1xx0xxxxxxxxxxx11x \ {
   1x00x1xxxxxxxxx11x, 
   1x10x0xxxxxxxxx11x, 
   10x01xxxxxxxxxx11x, 
   11x00xxxxxxxxxx11x}, 
   0xx1xxxxxxxxxxx11x \ {
   0x01x1xxxxxxxxx11x, 
   0x11x0xxxxxxxxx11x, 
   00x11xxxxxxxxxx11x, 
   01x10xxxxxxxxxx11x}, 
   x1xx0xxxxxxxxxx11x \ {
   x10x01xxxxxxxxx11x, 
   x11x00xxxxxxxxx11x, 
   01x10xxxxxxxxxx11x, 
   11x00xxxxxxxxxx11x}, 
   11x00xxxxxxxxxx11x \ {
   110001xxxxxxxxx11x, 
   111000xxxxxxxxx11x}, 
   01x10xxxxxxxxxx11x \ {
   010101xxxxxxxxx11x, 
   011100xxxxxxxxx11x}, 
   x0xx1xxxxxxxxxx11x \ {
   x00x11xxxxxxxxx11x, 
   x01x10xxxxxxxxx11x, 
   00x11xxxxxxxxxx11x, 
   10x01xxxxxxxxxx11x}, 
   10x01xxxxxxxxxx11x \ {
   100011xxxxxxxxx11x, 
   101010xxxxxxxxx11x}, 
   00x11xxxxxxxxxx11x \ {
   000111xxxxxxxxx11x, 
   001110xxxxxxxxx11x}, 
   xx1xx0xxxxxxxxx11x \ {
   x01x10xxxxxxxxx11x, 
   x11x00xxxxxxxxx11x, 
   0x11x0xxxxxxxxx11x, 
   1x10x0xxxxxxxxx11x}, 
   1x10x0xxxxxxxxx11x \ {
   101010xxxxxxxxx11x, 
   111000xxxxxxxxx11x}, 
   0x11x0xxxxxxxxx11x \ {
   001110xxxxxxxxx11x, 
   011100xxxxxxxxx11x}, 
   x11x00xxxxxxxxx11x \ {
   011100xxxxxxxxx11x, 
   111000xxxxxxxxx11x}, 
   111000xxxxxxxxx11x, 
   011100xxxxxxxxx11x, 
   x01x10xxxxxxxxx11x \ {
   001110xxxxxxxxx11x, 
   101010xxxxxxxxx11x}, 
   101010xxxxxxxxx11x, 
   001110xxxxxxxxx11x, 
   xx0xx1xxxxxxxxx11x \ {
   x00x11xxxxxxxxx11x, 
   x10x01xxxxxxxxx11x, 
   0x01x1xxxxxxxxx11x, 
   1x00x1xxxxxxxxx11x}, 
   1x00x1xxxxxxxxx11x \ {
   100011xxxxxxxxx11x, 
   110001xxxxxxxxx11x}, 
   0x01x1xxxxxxxxx11x \ {
   000111xxxxxxxxx11x, 
   010101xxxxxxxxx11x}, 
   x10x01xxxxxxxxx11x \ {
   010101xxxxxxxxx11x, 
   110001xxxxxxxxx11x}, 
   110001xxxxxxxxx11x, 
   010101xxxxxxxxx11x, 
   x00x11xxxxxxxxx11x \ {
   000111xxxxxxxxx11x, 
   100011xxxxxxxxx11x}, 
   100011xxxxxxxxx11x, 
   000111xxxxxxxxx11x}

filter: (= ((_ extract 2 1) (:var 3)) ((_ extract 1 0) (:var 4))) {
   xxxxxxxxxxxxxxxxxx \ {
   xx0x1xxxxxxxxxxxxx, 
   xx1x0xxxxxxxxxxxxx, 
   x0x1xxxxxxxxxxxxxx, 
   x1x0xxxxxxxxxxxxxx}}

filter: (or (= ((_ extract 2 1) (:var 0)) #b11)
    (= ((_ extract 2 1) (:var 3)) ((_ extract 1 0) (:var 4)))) {
   xxxxxxxxxxxxxxxxxx \ {
   xx0x1xxxxxxxxxxxxx, 
   xx1x0xxxxxxxxxxxxx, 
   x0x1xxxxxxxxxxxxxx, 
   x1x0xxxxxxxxxxxxxx}, 
   x1x0xxxxxxxxxxx11x \ {
   x1001xxxxxxxxxx11x, 
   x1100xxxxxxxxxx11x}, 
   x0x1xxxxxxxxxxx11x \ {
   x0011xxxxxxxxxx11x, 
   x0110xxxxxxxxxx11x}, 
   xx1x0xxxxxxxxxx11x \ {
   x0110xxxxxxxxxx11x, 
   x1100xxxxxxxxxx11x}, 
   x1100xxxxxxxxxx11x, 
   x0110xxxxxxxxxx11x, 
   xx0x1xxxxxxxxxx11x \ {
   x0011xxxxxxxxxx11x, 
   x1001xxxxxxxxxx11x}, 
   x1001xxxxxxxxxx11x, 
   x0011xxxxxxxxxx11x}

filter: (or (= (:var 0) (:var 2)) (= (:var 0) (:var 4))) {
   xxxxxxxxxxxxxxxxxx \ {
   xx0xxxxx0xxxxxxxx1, 
   x0xxxxxx0xxxxxxx11, 
   x1xxxxxx0xxxxxxx01, 
   0xxxxxxx0xxxxxx1x1, 
   1xxxxxxx0xxxxxx0x1, 
   xx1xxxxx1xxxxxxxx0, 
   x0xxxxxx1xxxxxxx10, 
   x1xxxxxx1xxxxxxx00, 
   0xxxxxxx1xxxxxx1x0, 
   1xxxxxxx1xxxxxx0x0, 
   xx0xxxx0xxxxxxxx11, 
   xx1xxxx0xxxxxxxx10, 
   x0xxxxx0xxxxxxxx1x, 
   0xxxxxx0xxxxxxx11x, 
   1xxxxxx0xxxxxxx01x, 
   xx0xxxx1xxxxxxxx01, 
   xx1xxxx1xxxxxxxx00, 
   x1xxxxx1xxxxxxxx0x, 
   0xxxxxx1xxxxxxx10x, 
   1xxxxxx1xxxxxxx00x, 
   xx0xxx0xxxxxxxx1x1, 
   xx1xxx0xxxxxxxx1x0, 
   x0xxxx0xxxxxxxx11x, 
   x1xxxx0xxxxxxxx10x, 
   0xxxxx0xxxxxxxx1xx, 
   xx0xxx1xxxxxxxx0x1, 
   xx1xxx1xxxxxxxx0x0, 
   x0xxxx1xxxxxxxx01x, 
   x1xxxx1xxxxxxxx00x, 
   1xxxxx1xxxxxxxx0xx}}

filter: (or (= (:var 0) (:var 2)) (= (:var 3) (:var 4))) {
   xxxxxxxxxxxxxxxxxx \ {
   xx0xx1xx0xxxxxxxx1, 
   xx1xx0xx0xxxxxxxx1, 
   x0xx1xxx0xxxxxxxx1, 
   x1xx0xxx0xxxxxxxx1, 
   0xx1xxxx0xxxxxxxx1, 
   1xx0xxxx0xxxxxxxx1, 
   xx0xx1xx1xxxxxxxx0, 
   xx1xx0xx1xxxxxxxx0, 
   x0xx1xxx1xxxxxxxx0, 
   x1xx0xxx1xxxxxxxx0, 
   0xx1xxxx1xxxxxxxx0, 
   1xx0xxxx1xxxxxxxx0, 
   xx0xx1x0xxxxxxxx1x, 
   xx1xx0x0xxxxxxxx1x, 
   x0xx1xx0xxxxxxxx1x, 
   x1xx0xx0xxxxxxxx1x, 
   0xx1xxx0xxxxxxxx1x, 
   1xx0xxx0xxxxxxxx1x, 
   xx0xx1x1xxxxxxxx0x, 
   xx1xx0x1xxxxxxxx0x, 
   x0xx1xx1xxxxxxxx0x, 
   x1xx0xx1xxxxxxxx0x, 
   0xx1xxx1xxxxxxxx0x, 
   1xx0xxx1xxxxxxxx0x, 
   xx0xx10xxxxxxxx1xx, 
   xx1xx00xxxxxxxx1xx, 
   x0xx1x0xxxxxxxx1xx, 
   x1xx0x0xxxxxxxx1xx, 
   0xx1xx0xxxxxxxx1xx, 
   1xx0xx0xxxxxxxx1xx, 
   xx0xx11xxxxxxxx0xx, 
   xx1xx01xxxxxxxx0xx, 
   x0xx1x1xxxxxxxx0xx, 
   x1xx0x1xxxxxxxx0xx, 
   0xx1xx1xxxxxxxx0xx, 
   1xx0xx1xxxxxxxx0xx}}

filter: (or (= ((_ extract 2 1) (:var 0)) ((_ extract 1 0) (:var 2)))
    (= (:var 3) (:var 4))) {
   xxxxxxxxxxxxxxxxxx \ {
   xx0xx1xx0xxxxxxx1x, 
   xx1xx0xx0xxxxxxx1x, 
   x0xx1xxx0xxxxxxx1x, 
   x1xx0xxx0xxxxxxx1x, 
   0xx1xxxx0xxxxxxx1x, 
   1xx0xxxx0xxxxxxx1x, 
   xx0xx1xx1xxxxxxx0x, 
   xx1xx0xx1xxxxxxx0x, 
   x0xx1xxx1xxxxxxx0x, 
   x1xx0xxx1xxxxxxx0x, 
   0xx1xxxx1xxxxxxx0x, 
   1xx0xxxx1xxxxxxx0x, 
   xx0xx1x0xxxxxxx1xx, 
   xx1xx0x0xxxxxxx1xx, 
   x0xx1xx0xxxxxxx1xx, 
   x1xx0xx0xxxxxxx1xx, 
   0xx1xxx0xxxxxxx1xx, 
   1xx0xxx0xxxxxxx1xx, 
   xx0xx1x1xxxxxxx0xx, 
   xx1xx0x1xxxxxxx0xx, 
   x0xx1xx1xxxxxxx0xx, 
   x1xx0xx1xxxxxxx0xx, 
   0xx1xxx1xxxxxxx0xx, 
   1xx0xxx1xxxxxxx0xx}}

filter: (or (= ((_ extract 2 1) (:var 0)) #b11) (= (:var 3) (:var 4))) {
   xxxxxxxxxxxxxxxxxx \ {
   xx0xx1xxxxxxxxxxxx, 
   xx1xx0xxxxxxxxxxxx, 
   x0xx1xxxxxxxxxxxxx, 
   x1xx0xxxxxxxxxxxxx, 
   0xx1xxxxxxxxxxxxxx, 
   1xx0xxxxxxxxxxxxxx}, 
   1xx0xxxxxxxxxxx11x \ {
   1x00x1xxxxxxxxx11x, 
   1x10x0xxxxxxxxx11x, 
   10x01xxxxxxxxxx11x, 
   11x00xxxxxxxxxx11x}, 
   0xx1xxxxxxxxxxx11x \ {
   0x01x1xxxxxxxxx11x, 
   0x11x0xxxxxxxxx11x, 
   00x11xxxxxxxxxx11x, 
   01x10xxxxxxxxxx11x}, 
   x1xx0xxxxxxxxxx11x \ {
   x10x01xxxxxxxxx11x, 
   x11x00xxxxxxxxx11x, 
   01x10xxxxxxxxxx11x, 
   11x00xxxxxxxxxx11x}, 
   11x00xxxxxxxxxx11x \ {
   110001xxxxxxxxx11x, 
   111000xxxxxxxxx11x}, 
   01x10xxxxxxxxxx11x \ {
   010101xxxxxxxxx11x, 
   011100xxxxxxxxx11x}, 
   x0xx1xxxxxxxxxx11x \ {
   x00x11xxxxxxxxx11x, 
   x01x10xxxxxxxxx11x, 
   00x11xxxxxxxxxx11x, 
   10x01xxxxxxxxxx11x}, 
   10x01xxxxxxxxxx11x \ {
   100011xxxxxxxxx11x, 
   101010xxxxxxxxx11x}, 
   00x11xxxxxxxxxx11x \ {
   000111xxxxxxxxx11x, 
   001110xxxxxxxxx11x}, 
   xx1xx0xxxxxxxxx11x \ {
   x01x10xxxxxxxxx11x, 
   x11x00xxxxxxxxx11x, 
   0x11x0xxxxxxxxx11x, 
   1x10x0xxxxxxxxx11x}, 
   1x10x0xxxxxxxxx11x \ {
   101010xxxxxxxxx11x, 
   111000xxxxxxxxx11x}, 
   0x11x0xxxxxxxxx11x \ {
   001110xxxxxxxxx11x, 
   011100xxxxxxxxx11x}, 
   x11x00xxxxxxxxx11x \ {
   011100xxxxxxxxx11x, 
   111000xxxxxxxxx11x}, 
   111000xxxxxxxxx11x, 
   011100xxxxxxxxx11x, 
   x01x10xxxxxxxxx11x \ {
   001110xxxxxxxxx11x, 
   101010xxxxxxxxx11x}, 
   101010xxxxxxxxx11x, 
   001110xxxxxxxxx11x, 
   xx0xx1xxxxxxxxx11x \ {
   x00x11xxxxxxxxx11x, 
   x10x01xxxxxxxxx11x, 
   0x01x1xxxxxxxxx11x, 
   1x00x1xxxxxxxxx11x}, 
   1x00x1xxxxxxxxx11x \ {
   100011xxxxxxxxx11x, 
   110001xxxxxxxxx11x}, 
   0x01x1xxxxxxxxx11x \ {
   000111xxxxxxxxx11x, 
   010101xxxxxxxxx11x}, 
   x10x01xxxxxxxxx11x \ {
   010101xxxxxxxxx11x, 
   110001xxxxxxxxx11x}, 
   110001xxxxxxxxx11x, 
   010101xxxxxxxxx11x, 
   x00x11xxxxxxxxx11x \ {
   000111xxxxxxxxx11x, 
   100011xxxxxxxxx11x}, 
   100011xxxxxxxxx11x, 
   000111xxxxxxxxx11x}

filter: (or (= ((_ extract 2 1) (:var 0)) #b11) (= (:var 3) #b011)) {
   xxxxxxxxxxxxxxx11x, 
   xxx011xxxxxxxxxxxx}

filter: (or (= (:var 0) #b101) (= (:var 3) #b101)) {
   xxxxxxxxxxxxxxx101, 
   xxx101xxxxxxxxxxxx}

filter: (or (= (:var 0) #b111) (= (:var 3) #b111)) {
   xxxxxxxxxxxxxxx111, 
   xxx111xxxxxxxxxxxx}

filter: (not (or (= (:var 0) (:var 2)) (= (:var 3) (:var 4)))) {
   xx0xx1xx0xxxxxxxx1, 
   xx0xx1xx1xxxxxxxx0, 
   xx0xx1x0xxxxxxxx1x, 
   xx0xx1x1xxxxxxxx0x, 
   xx0xx10xxxxxxxx1xx, 
   xx0xx11xxxxxxxx0xx, 
   xx1xx0xx0xxxxxxxx1, 
   xx1xx0xx1xxxxxxxx0, 
   xx1xx0x0xxxxxxxx1x, 
   xx1xx0x1xxxxxxxx0x, 
   xx1xx00xxxxxxxx1xx, 
   xx1xx01xxxxxxxx0xx, 
   x0xx1xxx0xxxxxxxx1, 
   x0xx1xxx1xxxxxxxx0, 
   x0xx1xx0xxxxxxxx1x, 
   x0xx1xx1xxxxxxxx0x, 
   x0xx1x0xxxxxxxx1xx, 
   x0xx1x1xxxxxxxx0xx, 
   x1xx0xxx0xxxxxxxx1, 
   x1xx0xxx1xxxxxxxx0, 
   x1xx0xx0xxxxxxxx1x, 
   x1xx0xx1xxxxxxxx0x, 
   x1xx0x0xxxxxxxx1xx, 
   x1xx0x1xxxxxxxx0xx, 
   0xx1xxxx0xxxxxxxx1, 
   0xx1xxxx1xxxxxxxx0, 
   0xx1xxx0xxxxxxxx1x, 
   0xx1xxx1xxxxxxxx0x, 
   0xx1xx0xxxxxxxx1xx, 
   0xx1xx1xxxxxxxx0xx, 
   1xx0xxxx0xxxxxxxx1, 
   1xx0xxxx1xxxxxxxx0, 
   1xx0xxx0xxxxxxxx1x, 
   1xx0xxx1xxxxxxxx0x, 
   1xx0xx0xxxxxxxx1xx, 
   1xx0xx1xxxxxxxx0xx}

filter: (= (:var 0) (:var 2)) {
   xxxxxxxxxxxxxxxxxx \ {
   xxxxxxxx0xxxxxxxx1, 
   xxxxxxxx1xxxxxxxx0, 
   xxxxxxx0xxxxxxxx1x, 
   xxxxxxx1xxxxxxxx0x, 
   xxxxxx0xxxxxxxx1xx, 
   xxxxxx1xxxxxxxx0xx}}

filter: (not (= (:var 0) (:var 2))) {
   xxxxxxxx0xxxxxxxx1, 
   xxxxxxxx1xxxxxxxx0, 
   xxxxxxx0xxxxxxxx1x, 
   xxxxxxx1xxxxxxxx0x, 
   xxxxxx0xxxxxxxx1xx, 
   xxxxxx1xxxxxxxx0xx}

PASS
(test udoc_relation :time 26.88 :before-memory 1464.84 :after-memory 1464.86)
{xxx \ {0x1}}
{xxx \ {0x0, 1x1}}
{0xxx \ {00xx, 0101, 0111}}
{}
{}
{0x01 \ {0001, 0101, 0101}}
{}
{}
{x1xx \ {01xx, 0101, x100}, x1x1 \ {x111, 1101}}
{}
{}
{}
{}
{}
{}
{x1xx \ {x10x, 11x1, 0100}}
{}
{1xx1 \ {1001, 1x11, 1011}}
{1xx0 \ {1000, 1x00, 1100}, 1xxx \ {11x1, 1x11, 1111}}
{x1x1 \ {1101, 0111, x111, 11x1}}
{xxx0 \ {x110, 0010, x000}}
{}
{}
{xx00 \ {0000, x000}, 0x00 \ {0000, 0100, 0100}}
{10xx \ {1001, 1000, 1010}}
{0000 \ {0000}}
{1x1x \ {1x10, 1x11}}
{x11x \ {0111, x111}}
{1x1x \ {1110, 1011, 1x10, 1x11, 111x}}
{}
{1x0x \ {1x01, 1000, 1000}}
{}
{0xx0 \ {0000, 00x0, 0100}}
{}
{}
{x1x1 \ {0101, 11x1, 1111}, 0x11 \ {0011}}
{10x0 \ {1000, 1010}}
{}
{xxxx \ {011x, 1x01}, 0xx1 \ {0x01, 00x1, 0011}, 1xxx \ {11xx, 11x0, 100x}}
{x10x \ {110x, 0101, 0100}, 1x01 \ {1101}}
{0x0x \ {0100, 0001, 010x, 000x}, 0101}
{0xx0 \ {0000, 0110, 0x00}}
{}
{}
{10xx \ {10x1, 10x0, 1000}}
{1xx0 \ {1x10, 11x0, 1010}, xxx1 \ {x1x1, 0011, x101}}
{x0x0 \ {x0x0}, x1x1 \ {x1x1}}
{x1x1 \ {1101, x101}, 0x0x \ {0001, 0101, 010x}}
{}
{}
{01xx \ {011x, 010x, 0110}, x000 \ {1000, 0000}}
{xx1x \ {xx10, 101x, 101x}, 0x10 \ {0010, 0110, 0110}}
{1x1x \ {1x1x}, 1010 \ {1010}}
{x0x0 \ {x010, x000, 10x0}}
{0xx1 \ {0101, 0111, 0011}, 0x00 \ {0000}}
{0000 \ {0000}}
{x1x0 \ {1100, 1110, 0110}}
{100x \ {1001, 1000}}
{0000 \ {0000}}
{1xx1 \ {1111, 11x1, 1101}, x0xx \ {x001, x000, x0x0}}
{0x00 \ {0000}, xx1x \ {001x, 1x11, 1x11}}
{1111, 0000 \ {0000}, 1x1x \ {1110, 1011, 1x10}}
{1x1x \ {1111, 101x, 1010}}
{xx1x \ {111x, 001x, xx10}}
{1x1x \ {1110, 1011, 101x, 1x11}}
{}
{0xx0 \ {0x00, 0110, 0100}}
{}
{0x1x \ {0111, 001x, 0x11}}
{00x0 \ {0010, 0000}}
{1010 \ {1010}}
{100x \ {1000}, xx10 \ {0110, x010, 0x10}, xx0x \ {1101, 1100, 100x}}
{0x0x \ {000x, 0001, 0100}}
{0x0x \ {0100, 0001, 000x}}
{x0xx \ {x001, 10x1, x01x}}
{x0xx \ {1011, 0000}, 110x \ {1101, 1100, 1100}}
{xxxx \ {x1x0, x0x1, 1x0x, 0x1x, xx01, xx1x}, 0x0x \ {0100, 0001, 0x01, 010x, 000x, 000x}}
{x001 \ {1001, 0001}}
{xx0x \ {1100, 0x0x, x10x}, 000x \ {0001}}
{0101 \ {0101}}
{x001 \ {1001, 0001, 0001}}
{10xx \ {1011, 1001, 10x0}}
{0101 \ {0101}}
{}
{0x00 \ {0000, 0100}}
{}
{x1xx \ {01x1, 010x, x1x0}}
{011x \ {0111, 0110}, x00x \ {x001, 1000}, xxxx \ {0000, 00xx, 0111}}
{1x1x \ {1110, 1011, 1x10, 111x, 101x}, 0x0x \ {0100, 0001, 0x00, 010x}, xxxx \ {x1x0, x0x1, 1x0x, 0x1x, xxx0}}
{01xx \ {01x1, 0110}}
{}
{}
{x111 \ {0111, 1111}, 101x \ {1010, 1011}}
{}
{}
{x101 \ {1101}}
{x1xx \ {1101, 01xx, x101}, 1x0x \ {1x01, 1x00}}
{0101 \ {0101}}
{001x \ {0010}, 1x1x \ {1111, 1010, 1x10}}
{0x0x \ {0000, 0x01, 000x}, 10xx \ {100x, 10x0, 1011}}
{1x1x \ {1110, 1011, 1x10, 101x, 111x}}
{}
{1x00 \ {1000}}
{}
{xx11 \ {0011, 1111, 1111}}
{xxx1 \ {1101, 1111, 0111}}
{1111}
{00xx \ {00x0, 00x1, 0001}}
{10x0 \ {1000}, x10x \ {0100, x101, x100}}
{x0x0 \ {x0x0}, 0x0x \ {
   0100, 0001, 0x00, 0x01, 0x01, 010x, 000x}}
{xx01 \ {1001, 0x01, 0101}}
{011x \ {0111, 0110}}
{}
{}
{x1xx \ {x10x, 1101, 0111}, xx11 \ {0111, 1111, 1x11}}
{}
{xx00 \ {0000, 0x00, 0100}}
{x11x \ {0111, 111x, x111}, x01x \ {x011, x010, x010}}
{}
{11x1 \ {1101}}
{1x1x \ {1011, 1110, 1x10}}
{1111}
{0x00 \ {0000, 0100}}
{0xxx \ {0x00, 0101, 0001}}
{0000 \ {0000}}
{x0x0 \ {10x0, 1000}, 0x0x \ {0x00, 0000, 010x}}
{xxx1 \ {xx11, xx01, x0x1}, 0xx0 \ {0100, 01x0}}
{x0x0 \ {1000, 0010}, 0101 \ {0101}, 0000 \ {0000}}
{x1x0 \ {01x0, 0110}}
{x010 \ {1010, 0010}}
{1010 \ {1010}}
{x1x0 \ {1110, 1100, x100}}
{1xx1 \ {1011, 1111}}
{}
{0xx0 \ {0000, 0x00, 01x0}}
{x0x1 \ {x001, 1001, 0011}, 01xx \ {0111, 0110, 010x}, 0xx1 \ {0101, 0111, 0111}}
{x0x0 \ {1000, 0010, x000, 10x0, 00x0, x000}}
{1x0x \ {1x00, 1100}, x0xx \ {x00x, 1000, x001}, 100x \ {1001, 1000}}
{xx0x \ {xx01, 1100, 010x}}
{0x0x \ {0100, 0001, 0x00, 010x}}
{1x1x \ {111x, 1010}, x001 \ {1001, 0001}}
{xx0x \ {0000, x000, 1101}}
{0101 \ {0101}}
{xx11 \ {0111, 0011, 0011}, 00x0 \ {0010, 0000}}
{0xxx \ {0x1x, 011x, 011x}}
{1111 \ {1111}, x0x0 \ {1000, 0010, x010, x000, 10x0}}
{}
{11x1 \ {1101, 1111}, xxx1 \ {0x11, xx11, 1x01}}
{}
{0xx1 \ {0x01, 00x1, 0111}, xx01 \ {1001, x001, x101}, 1xx0 \ {1x10, 1000, 1100}}
{01xx \ {011x, 01x0, 01x1}}
{x1x1 \ {x1x1}, 0101 \ {0101}, x0x0 \ {x0x0}}
{x0xx \ {0000, 10x1, 10x1}}
{x010 \ {1010, 0010}}
{1010 \ {1010}}
{xx00 \ {1000, 0x00, x000}, 00x0 \ {0000, 0010}}
{x100 \ {0100, 1100, 1100}, xx00 \ {x100, x000, 1000}}
{0000 \ {0000}}
{x010 \ {1010, 0010, 0010}, 000x \ {0001}}
{10xx \ {10x1, 101x}}
{1010 \ {1010}, 0x0x \ {0100, 0001, 0x01, 010x}}
{x1xx \ {11x1, x10x, 1100}, 0x11 \ {0111, 0011}}
{}
{}
{0x10 \ {0110}}
{}
{}
{}
{xx11 \ {1x11, x011}, 111x \ {1110}}
{}
{xx1x \ {0x10, x011, 111x}}
{0xx0 \ {0100, 01x0, 00x0}, 10xx \ {10x1, 1010}}
{1010 \ {1010}, 1x1x \ {1110, 1011, 111x, 101x}}
{}
{011x \ {0111, 0110}, 01x1 \ {0111, 0101}}
{}
{x1x0 \ {1100, 01x0, 1110}, 1x0x \ {1000, 110x}}
{10xx \ {1000, 100x, 1011}, 0xx0 \ {0100, 0x10, 0x00}, 00xx \ {001x, 00x1, 0011}}
{x0x0 \ {1000, 0010, 00x0, 00x0, x000, x010}, x0x0 \ {1000, 0010, 10x0, x000, x010}, 0000 \ {0000}, 0x0x \ {0100, 0001, 010x, 0x00}}
{11x0 \ {1110, 1100, 1100}}
{1x1x \ {111x, 1x11, 1111}, x110 \ {0110, 1110, 1110}, 00xx \ {00x0, 000x, 0011}}
{1010 \ {1010}, x0x0 \ {x0x0}}
{0x11 \ {0111, 0011, 0011}, x1xx \ {110x, 111x, 0100}}
{xxxx \ {110x, xx10, 11x0}}
{1111 \ {1111}, xxxx \ {x1x0, x0x1, 1x0x, 0x1x, 10xx, xx00}}
{}
{xx0x \ {xx00, 0000, x001}, 0x01 \ {0101}, xx0x \ {xx01, 1001, x100}}
{}
{0xxx \ {0010, 0x00, 0xx0}}
{xx00 \ {x100, 1x00, 1000}}
{0000 \ {0000}}
{xxx0 \ {1100, 0010, 1x10}, xx01 \ {1001, 0101}}
{x010 \ {0010, 1010}}
{1010 \ {1010}}
{x111 \ {1111, 0111}, x00x \ {1001, 0001, 0001}}
{010x \ {0100}}
{0x0x \ {0100, 0001, 000x, 0x01, 0x01}}
{xx11 \ {0011, x111, 0x11}, 1x00 \ {1000, 1100}}
{1xx1 \ {1x01, 1101, 1101}, 010x \ {0101, 0100}}
{1111, 0000 \ {0000}}
{00xx \ {00x1, 001x, 0001}}
{x11x \ {0111, 0110, 011x}}
{1x1x \ {1x1x}}
{0xxx \ {010x, 0x01}}
{1x11 \ {1111, 1011, 1011}}
{1111 \ {1111}}
{x1x0 \ {0110, 0100}, x01x \ {x010, 001x, 0010}}
{}
{}
{1xxx \ {1101, 10x0, 1x11}, x1x1 \ {01x1, 1111}}
{00x1 \ {0001, 0011}}
{x1x1 \ {1101, 0111, x111, 01x1, 11x1}}
{0x01 \ {0001}, xxx1 \ {1x01, 0001, 10x1}}
{1x1x \ {1x11, 1011, 1011}, 00xx \ {000x, 001x, 00x1}}
{0101 \ {0101}, 1111 \ {1111}, x1x1 \ {x1x1}}
{1xxx \ {1xx0, 111x, 1x1x}, x0x1 \ {0011, 10x1}, x01x \ {101x, 001x}}
{10x0 \ {1010, 1000}, 11x1 \ {1111, 1101, 1101}}
{x0x0 \ {x0x0}, x1x1 \ {1101, 0111, x111, 11x1, 01x1, 01x1}, 1010 \ {1010}, 1111 \ {1111}}
{x01x \ {1010, x010, 0011}}
{1x11 \ {1111, 1011}}
{1111 \ {1111}}
{}
{010x \ {0100, 0101}, xx00 \ {x000, 0100}}
{}
{xxx0 \ {x100, x010, 1x00}, xxx1 \ {0001, 1011, 1x01}}
{x010 \ {1010, 0010}, xx0x \ {x101, x10x, 1000}}
{1010 \ {1010}, 0000, 0101}
{x0xx \ {1000, 1010, 00x0}, xx00 \ {0100, 1x00, 0x00}}
{01xx \ {0101, 01x0, 0100}}
{xxxx \ {
   x1x0, x0x1, 1x0x, 0x1x, 01xx, x0xx, 00xx, xx00, xx10}, 0000 \ {0000}}
{x0x1 \ {0001, 1011}, 010x \ {0101}}
{x110 \ {1110, 0110, 0110}, 0x00 \ {0000}, 10xx \ {1001, 101x, 1010}}
{x1x1 \ {1101, 0111, 01x1, 11x1}, 0000, 0x0x \ {0100, 0001, 0x01, 010x}}
{00xx \ {00x0, 000x, 0001}}
{101x \ {1011, 1010, 1010}}
{1x1x \ {1110, 1011, 1x10, 111x, 101x, 101x}}
{01xx \ {0100, 0101}, 10xx \ {10x1, 1001, 1011}}
{xx01 \ {1001, x001, 0001}, 0xx1 \ {0111, 0001, 0101}}
{0101 \ {0101}, x1x1 \ {1101, 0111, x101, 01x1}}
{11x1 \ {1111, 1101, 1101}, x0x1 \ {10x1, 00x1}}
{xxxx \ {0x11, 0x1x, 00x0}, x111 \ {0111, 1111}, x10x \ {0101, 110x, 1101}}
{x1x1 \ {1101, 0111, x111, x101, x101}, 1111 \ {1111}, 0101 \ {0101}}
{000x \ {0001, 0000, 0000}, xx10 \ {0110, x010, 1x10}}
{01xx \ {01x1, 011x, 0101}}
{0x0x \ {
   0100, 0001, 0x01, 0x00, 0x00, 010x, 010x}, 1010 \ {1010}}
{10xx \ {101x, 10x0, 10x0}, 1x0x \ {1x01, 1000, 110x}}
{x011 \ {0011, 1011}, xxx1 \ {1011, 0x01, 1x11}}
{1111 \ {1111}, x1x1 \ {1101, 0111, x111}, 0101 \ {0101}}
{xx01 \ {x001, 0001, 0001}, xxxx \ {x10x, 1011, 10x1}, xx00 \ {0x00, 1x00, x000}}
{0xx0 \ {0x00, 0110, 0000}, x1x0 \ {x110, 0100, x100}}
{x0x0 \ {1000, 0010, 00x0}, 0000 \ {0000}}
{0xx0 \ {01x0, 0010, 0110}, 111x \ {1111, 1110, 1110}}
{xx1x \ {001x, 0010, 011x}}
{1010 \ {1010}, 1x1x \ {1110, 1011, 1x11, 1x10, 1x10}}
{11xx \ {111x, 110x}}
{x10x \ {x100, 1101, 0101}}
{0x0x \ {0x0x}}
{x10x \ {010x, 1100}}
{}
{}
{10x1 \ {1001, 1011}, xx0x \ {0100, 000x, 1x0x}}
{x00x \ {1001, 000x, 0000}}
{0101 \ {0101}, 0x0x \ {0100, 0001, 010x, 0x00}}
{x1x1 \ {1101, x101}}
{001x \ {0011, 0010}}
{1111 \ {1111}}
{xx00 \ {0100, 1000, x000}}
{0x10 \ {0010, 0110}, xx1x \ {0x10, x111, x110}}
{}
{x1x0 \ {0100, x100, 0110}, x0x1 \ {1011, 10x1, x011}}
{0x1x \ {011x, 001x, 0x10}}
{1010 \ {1010}, 1111 \ {1111}}
{000x \ {0001, 0000, 0000}, 0x1x \ {001x, 0x10, 011x}}
{01xx \ {01x1, 010x, 0110}}
{0x0x \ {0x0x}, 1x1x \ {1x1x}}
{0x0x \ {0100, 010x, 000x}}
{x101 \ {0101}}
{0101 \ {0101}}
{x10x \ {x100, 0101, 1100}, 1x0x \ {1x01, 1100}, xx1x \ {111x, 1011, 0010}}
{}
{}
{1xxx \ {101x, 10x1, 1110}}
{1x00 \ {1100, 1000}}
{0000 \ {0000}}
{01xx \ {011x, 01x1}, x11x \ {0110, x110, 0111}}
{x1xx \ {11xx, 01x1, 1101}, 01xx \ {01x0, 0100, 010x}}
{xxxx \ {
   x1x0, x0x1, 1x0x, 0x1x, xx1x, xxx1, x1xx, 01xx}, xxxx \ {
   x1x0, x0x1, 1x0x, 0x1x, xx1x, xxx1, x0xx, 00xx, 0xxx}, 1x1x \ {1110, 1011, 1x10, 111x}, 1x1x \ {1110, 1011, 1x10, 101x}}
{011x \ {0111, 0110}}
{x110 \ {1110, 0110}, xx00 \ {0x00, 1x00, x100}}
{1010 \ {1010}}
{10xx \ {1001, 1011, 101x}}
{xxxx \ {x10x, 1000, 00xx}, 0x0x \ {0100, 0x01, 0000}}
{xxxx \ {
   x1x0, x0x1, 1x0x, 0x1x, xx01, xx11, xx1x, 00xx}, 0x0x \ {0100, 0001, 0x01, 010x, 000x}}
{x10x \ {010x, x101, 0101}, 0x0x \ {000x, 0100, 0x01}, x0x0 \ {10x0}}
{11xx \ {11x0}}
{0x0x \ {0100, 0001, 0x01, 000x}, x0x0 \ {x0x0}}
{}
{00xx \ {000x, 00x1, 0011}, 0x1x \ {0110, 001x, 011x}}
{}
{xx01 \ {1x01, 1101, 1101}}
{x11x \ {0111, 1111, 011x}, xx00 \ {x000, 1000, x100}, 0x10 \ {0110, 0010, 0010}}
{}
{0x0x \ {0100, 000x, 010x}, 1x0x \ {1101, 1x01, 1001}}
{}
{}
{}
{x001 \ {1001, 0001}}
{}
{xxx1 \ {0xx1, 0x11, x1x1}, x00x \ {1001, 000x, 000x}}
{xx01 \ {0101, 1001, x101}, x01x \ {0010, 1010, 001x}}
{0101, 1111}
{xx01 \ {0x01, 1101}}
{x11x \ {x111, 0110, x110}}
{}
{001x \ {0010}, 0xxx \ {011x, 0x00}}
{}
{}
{x01x \ {x010, 101x, 101x}, 100x \ {1001, 1000, 1000}}
{}
{}
{1x0x \ {1101, 110x, 110x}, x100 \ {0100}}
{111x \ {1111, 1110}}
{}
{x1xx \ {01x0, 11x1, x11x}, 100x \ {1001, 1000}, x011 \ {1011, 0011}}
{x1x0 \ {1100, 0100}}
{x0x0 \ {1000, 0010, x010, 00x0}, 0000 \ {0000}}
{x1x1 \ {1111, 0111, 01x1}, xxxx \ {0010, 00x1, 1010}}
{}
{}
{xx00 \ {1000, 0000, 0100}}
{}
{}
{11xx \ {1101, 11x1, 11x0}}
{10x1 \ {1011, 1001, 1001}}
{x1x1 \ {x1x1}}
{01xx \ {01x0, 0100, 011x}}
{1xx0 \ {1010, 1100, 11x0}, 01xx \ {0110, 010x, 0100}}
{x0x0 \ {x0x0}, xxxx \ {
   x1x0, x0x1, 1x0x, 0x1x, xxx0, xx00, xx1x, 10xx, 0xxx, 00xx}}
{00x0 \ {0010, 0000, 0000}, 10x0 \ {1010}}
{x110 \ {1110}, x010 \ {1010, 0010}}
{1010 \ {1010}}
{}
{xxxx \ {000x, 010x, x11x}}
{}
{}
{xxx0 \ {x010, x100, x0x0}}
{}
{x100 \ {0100}, x0xx \ {x000, 00x0}}
{xxx0 \ {0110, x100, x0x0}}
{0000 \ {0000}, x0x0 \ {1000, 0010, x000, 00x0}}
{}
{x0xx \ {1001, 0001, 0011}, x0xx \ {x000, 0000, x001}}
{}
{0xx0 \ {00x0, 0000, 01x0}, 1x01 \ {1001, 1101, 1101}}
{1xxx \ {101x, 10x1, 1100}, 000x \ {0001, 0000, 0000}, 1x0x \ {1x01, 100x, 1001}}
{x0x0 \ {x0x0}, 0000 \ {0000}, 0101 \ {0101}}
{1xxx \ {1xx0, 10x0, 1001}, 0x10 \ {0110, 0010}}
{x00x \ {1001, x001}}
{0x0x \ {0100, 0001, 0x00, 010x}}
{001x \ {0011, 0010, 0010}}
{xxx0 \ {x000, 1010, 0000}, x0xx \ {000x, 00x0, 10x1}}
{1010 \ {1010}, 1x1x \ {1110, 1011, 1x11, 1x10, 1x10}}
{0x00 \ {0000, 0100}}
{11x0 \ {1110, 1100, 1100}, 11x0 \ {1100, 1110, 1110}, 101x \ {1010, 1011, 1011}}
{0000 \ {0000}}
{}
{}
{}
{00xx \ {000x, 001x, 00x1}}
{}
{}
{x011 \ {1011, 0011}, x01x \ {0010, 001x, x010}}
{}
{}
{010x \ {0101, 0100, 0100}, xxx0 \ {0110, 1xx0, 1100}, x00x \ {000x, 1001}}
{01xx \ {0110, 0111, 0100}}
{x0x0 \ {1000, 0010, 10x0, 00x0}, 0x0x \ {0100, 0001, 000x, 0x01}}
{x0x0 \ {1000, 0010, x000}}
{100x \ {1001}, 1xx0 \ {1000, 11x0, 1x10}}
{0000 \ {0000}, x0x0 \ {1000, 0010, x000, 10x0, 00x0}}
{1x10 \ {1010, 1110}}
{}
{}
{x1xx \ {x10x, 11x1, 11x0}, 00x0 \ {0000}}
{x1xx \ {0100, 0101, 111x}, 0xxx \ {0001, 0110, 0010}}
{xxxx \ {x1x0, x0x1, 1x0x, 0x1x, xx0x}, x0x0 \ {1000, 0010, x000}}
{x0x1 \ {x001, 0001, 0011}}
{101x \ {1010, 1011}}
{1111 \ {1111}}
{}
{}
{}
{x1x0 \ {0110, 0100}}
{x1x1 \ {0101, 1101, 1111}}
{}
{}
{01xx \ {01x1, 011x, 0110}}
{}
{0xxx \ {0011, 0xx1, 0111}, xx11 \ {0011, x011}, x1xx \ {111x, x10x}}
{000x \ {0000, 0001, 0001}, 0x10 \ {0110, 0010, 0010}}
{0x0x \ {0100, 0001, 0x01, 000x, 010x, 010x}, 1010 \ {1010}}
{x1x0 \ {0110, x100, 01x0}}
{1x0x \ {1x01, 1001, 1x00}, x00x \ {0000, 0001, 100x}}
{0000 \ {0000}}
{}
{x0x1 \ {10x1, 00x1, 00x1}}
{}
{}
{x0x1 \ {0001, x011, 1011}, xxx1 \ {x011, 1xx1, 10x1}}
{}
{xx11 \ {1111, 1x11}}
{11x1 \ {1111, 1101}}
{1111 \ {1111}}
{0xx1 \ {00x1, 01x1, 0x01}}
{x1x0 \ {1110, 01x0, 1100}, xx0x \ {100x, 1000, 1100}}
{0101 \ {0101}}
{xx0x \ {110x, 000x, x001}, x11x \ {111x, x111, 0110}}
{01x0 \ {0100, 0110}}
{0000 \ {0000}, 1010 \ {1010}}
{10xx \ {1001, 1010, 100x}}
{x001 \ {1001, 0001}}
{0101 \ {0101}}
{0x00 \ {0100}}
{xx0x \ {0000, 1x0x, xx01}}
{0000}
{1x0x \ {1100, 110x, 1x01}, x00x \ {1001, 0001, 0001}}
{1x1x \ {1110, 101x, 1010}, xx01 \ {x001, 1101, 0x01}}
{0101 \ {0101}}
{}
{}
{}
{x110 \ {0110, 1110}}
{xx00 \ {0000, x100, x000}, xx00 \ {0000, x100}}
{}
{}
{xx10 \ {0110, x110, x110}}
{}
{xx01 \ {0001, 1001}, 0xxx \ {0101, 0110, 0x1x}}
{x01x \ {0011, 1011, x011}}
{1x1x \ {1x1x}}
{xxx1 \ {01x1, x011, 1011}, 1xx1 \ {1101, 1111, 1011}, 11xx \ {110x, 1110, 11x1}}
{0x1x \ {011x, 0x11}}
{1111 \ {1111}, 1x1x \ {1110, 1011, 1x10, 1x11, 111x}}
{xxxx \ {x101, 0010, 110x}, 111x \ {1111, 1110}}
{x0x0 \ {1000, 0010, 10x0}, x0x1 \ {1001, 0011}}
{x0x0 \ {1000, 0010, 10x0}, x1x1 \ {1101, 0111}, 1010 \ {1010}, 1111 \ {1111}}
{}
{11x0 \ {1110, 1100}}
{}
{10xx \ {1001, 1011, 100x}}
{00x1 \ {0001}, 11x1 \ {1111, 1101}}
{x1x1 \ {1101, 0111, x101, x111, x101, 01x1}}
{}
{0xx1 \ {0011, 0111}}
{}
{11xx \ {1101, 11x0, 1110}}
{x1xx \ {01x0, x10x, 110x}}
{xxxx \ {
   x1x0, x0x1, 1x0x, 0x1x, xx01, xxx0, xx10, 0xxx, 00xx}}
{1xx1 \ {1101, 1111}}
{}
{}
{x101 \ {0101, 1101}}
{0xx1 \ {0x01, 0001, 0111}, xxxx \ {0111, 1xx1, 001x}, x10x \ {1100, 110x, 0101}}
{0101 \ {0101}}
{01xx \ {0101, 011x, 0100}, x0x0 \ {00x0, x000, x010}, 0xxx \ {010x, 00x0, 00x1}}
{10x1 \ {1001, 1011}, xx10 \ {1x10, x110, 1110}}
{x1x1 \ {1101, 0111, 01x1, 11x1, x101}, 1010}
{010x \ {0101, 0100}}
{x11x \ {1111, 0111, 111x}, 0x00 \ {0100}}
{0000 \ {0000}}
{x0x0 \ {x010}}
{1x0x \ {100x, 110x}}
{0000 \ {0000}}
{xx10 \ {0x10, x110, 0010}, 01x0 \ {0100, 0110, 0110}}
{1x0x \ {1101, 100x, 1001}, 0xxx \ {0100, 0x10, 0010}}
{1010 \ {1010}, 0000 \ {0000}, x0x0 \ {1000, 0010, x000, x010, x010, 10x0}}
{1x0x \ {1100, 110x, 1000}, 1xx0 \ {1x10, 1x00, 10x0}, 1x1x \ {101x, 1111, 1x10}}
{1x10 \ {1010, 1110, 1110}}
{1010 \ {1010}}
{}
{0x0x \ {0x01, 0001, 0x00}}
{}
{}
{x11x \ {1110, 0110, x111}}
{}
{0x00 \ {0000, 0100, 0100}}
{xxx1 \ {x011, 0101, 1x01}}
{}
{x1x1 \ {01x1, 0111, 1111}}
{01xx \ {0110, 0101, 01x1}}
{x1x1 \ {x1x1}}
{1x1x \ {1010, 111x, 1x10}}
{}
{}
{}
{10x0 \ {1000, 1010, 1010}}
{}
{}
{x0x1 \ {1001, x001}, x01x \ {x010, 1011}}
{}
{0x1x \ {011x, 001x}, x0xx \ {x00x, 0011, 1001}}
{xx00 \ {1100, x100}}
{0000 \ {0000}}
{xx00 \ {0100, 1100, 1100}, x11x \ {x110, x111, 0111}}
{0xx1 \ {00x1, 0011, 0x01}}
{1111 \ {1111}}
{x0x1 \ {0011, 1001, 00x1}, 0x0x \ {0000, 0101, 000x}}
{x100 \ {0100}}
{0000}
{}
{}
{}
{xx10 \ {0110, 0x10}}
{x0xx \ {x000, 10x1, 0001}}
{1010}
{}
{x0x1 \ {00x1, 1011, 1011}}
{}
{}
{01xx \ {010x, 011x}}
{}
{}
{x1xx \ {11xx, 01xx, 010x}, xxx1 \ {00x1, 1101, 0001}}
{}
{xxxx \ {00x1, 010x, x111}, x101 \ {0101, 1101}}
{0xx0 \ {0110, 0000, 0010}, 1x01 \ {1101, 1001}, 0x0x \ {0101, 0100, 0000}}
{x0x0 \ {1000, 0010, 10x0}, 0101 \ {0101}, 0x0x \ {0100, 0001, 000x}}
{x01x \ {0011, 101x, 101x}}
{x101 \ {1101, 0101, 0101}}
{}
{xx10 \ {1x10, x110, 0x10}}
{1x01 \ {1001, 1101, 1101}, 1xx1 \ {11x1, 1x01, 1111}}
{}
{0xx0 \ {0x00, 0010, 0010}}
{x0xx \ {00x1, 10x0, 00x0}}
{x0x0 \ {x0x0}}
{x001 \ {0001, 1001}, 1x00 \ {1000, 1100, 1100}}
{10xx \ {101x, 1011, 100x}, 1xxx \ {1011, 1xx0, 1111}}
{0101 \ {0101}, 0000 \ {0000}}
{x0x0 \ {0000, x010, 1000}, xx0x \ {1x0x, 0001, 1101}, xxx0 \ {11x0, 0xx0, 1xx0}}
{001x \ {0010, 0011}}
{1010 \ {1010}}
{xx1x \ {x110, 1x10, 101x}, xx01 \ {0001, 0101, 1x01}, 0xx0 \ {0x00, 0010, 0100}}
{xxxx \ {1010, xxx1, 100x}, xxx1 \ {01x1, 0011, 00x1}}
{1x1x \ {1110, 1011, 111x}, 1111, 0101 \ {0101}, x0x0 \ {1000, 0010, x000}}
{xx1x \ {001x, 1x10, 111x}}
{x101 \ {0101}, x1xx \ {11x1, 0101, x1x0}}
{1x1x \ {1110, 1011, 101x}}
{01xx \ {01x0, 01x1, 0110}}
{}
{}
{xxxx \ {101x, 0xx1, xx0x}, xx0x \ {0001, 1101}}
{0xx0 \ {0110, 00x0}, 1xx0 \ {11x0, 1010, 1100}}
{x0x0 \ {1000, 0010, x000, 10x0}, 0000}
{0xxx \ {01xx, 00x1, 00x0}, xxx1 \ {1101, 0101, 0x01}}
{0xx1 \ {01x1, 0011, 0011}, x00x \ {100x, 1001, x000}, xxx0 \ {x0x0, 1100, 1110}}
{0x0x \ {0100, 0001, 000x, 0x01, 0x00}, x0x0 \ {x0x0}, x1x1 \ {1101, 0111, 11x1, 11x1}, 0101}
{xxxx \ {01xx, 0xx0, 1xxx}}
{}
{}
{xxx0 \ {x010, 0100}}
{11xx \ {1100, 11x1, 11x1}}
{x0x0 \ {1000, 0010, 00x0}}
{00x0 \ {0010, 0000}}
{1x0x \ {110x, 1100, 1001}}
{0000 \ {0000}}
{xxx1 \ {xx11, 00x1, 1x01}}
{}
{}
{xx10 \ {x010, x110, 0110}}
{00x1 \ {0011, 0001}, xx0x \ {x101, 0x01, 0x0x}, x11x \ {0111, 111x}}
{1010 \ {1010}}
{}
{xx0x \ {100x, 0x00, x000}}
{}
{}
{}
{}
{x011 \ {1011, 0011, 0011}, x0x0 \ {00x0, 1000, 1010}}
{}
{}
{}
{0xx1 \ {0x01, 0011, 0x11}}
{}
{x010 \ {0010, 1010}, xxx0 \ {1010, xx00, 00x0}}
{xx10 \ {0x10, x110, x010}}
{1010 \ {1010}}
{x01x \ {x010, 001x}}
{xxx0 \ {0000, 01x0, 1x00}, xxx1 \ {0x11, 0111, 1xx1}}
{1010 \ {1010}, 1111 \ {1111}}
{100x \ {1001, 1000, 1000}}
{0x1x \ {0111, 0010, 0011}, xxx1 \ {11x1, 1011, 0011}}
{0101 \ {0101}}
{1x0x \ {1101, 1x00, 1001}}
{0xx0 \ {0010, 00x0, 0x00}, 1x00 \ {1100, 1000}}
{0000 \ {0000}}
{0xxx \ {01x0, 000x, 00x1}, xx1x \ {0111, 1011, 0x11}}
{}
{}
{xx1x \ {1110, 1111}}
{xx1x \ {111x, x010, x011}, xx1x \ {0x1x, 1010, 011x}}
{1x1x \ {1110, 1011}}
t1:{0111}
t2:{1100, 1101}
t:{1101}
{x0000 \ {10000, 00000}}
{0x01x \ {00010, 0x011, 0101x}}
{}

{00xx1 \ {00101, 000x1, 00111}, 1xx10 \ {10010, 11010}}
{x0111 \ {10111}, 0101x \ {01011}}
{
   x011100x11 \ {
   x011100011, x011100111, 1011100x11}, 0101100x11 \ {
   0101100011, 0101100111, 0101100x11}, 010101xx10 \ {
   0101010010, 0101011010}}

{01x11 \ {01011, 01111}, 1x0xx \ {10011, 11011, 110x1}}
{}
{}

{1x110 \ {10110}, 10x10 \ {10110, 10010}}
{110xx \ {1101x, 110x1, 110x0}}
{
   110101x110 \ {
   1101010110, 110101x110, 110101x110}, 1101010x10 \ {
   1101010110, 1101010010, 1101010x10, 1101010x10}}

{xx01x \ {01010, x101x, 0101x}, 0xx01 \ {01001, 01101}, xx110 \ {11110, 01110, 00110}}
{0xx0x \ {0000x, 00x01, 0100x}}
{
   0xx010xx01 \ {
   0xx0101001, 0xx0101101, 000010xx01, 00x010xx01, 010010xx01}}

{x0100 \ {00100}, 0x11x \ {0011x, 0x110, 00111}, xx001 \ {11001, 01001}}
{0x1x1 \ {001x1, 01111, 0x101}, x1xxx \ {11x1x, 01011, 11001}, 00xxx \ {000x0, 00xx0, 001x1}}
{
   x1x00x0100 \ {
   x1x0000100}, 00x00x0100 \ {
   00x0000100, 00000x0100, 00x00x0100}, 0x1110x111 \ {
   0x11100111, 0x11100111, 001110x111, 011110x111}, x1x1x0x11x \ {
   x1x110x110, x1x100x111, x1x1x0011x, x1x1x0x110, x1x1x00111, 11x1x0x11x, 010110x11x}, 00x1x0x11x \ {
   00x110x110, 00x100x111, 00x1x0011x, 00x1x0x110, 00x1x00111, 000100x11x, 00x100x11x, 001110x11x}, 0x101xx001 \ {
   0x10111001, 0x10101001, 00101xx001, 0x101xx001}, x1x01xx001 \ {
   x1x0111001, x1x0101001, 11001xx001}, 00x01xx001 \ {
   00x0111001, 00x0101001, 00101xx001}}

{xxxx0 \ {x11x0, 0xx00, 111x0}}
{xx00x \ {11001, x0000}}
{
   xx000xxx00 \ {
   xx000x1100, xx0000xx00, xx00011100, x0000xxx00}}

{xxx01 \ {00001, 01001, 11x01}}
{xxxx1 \ {x1101, 10x01, 0x011}}
{
   xxx01xxx01 \ {
   xxx0100001, xxx0101001, xxx0111x01, x1101xxx01, 10x01xxx01}}

{}
{xx001 \ {x1001, 0x001}}
{}

{xx1xx \ {xx101, 1x10x, 0111x}}
{00xx1 \ {00001, 00111, 00011}}
{
   00xx1xx1x1 \ {
   00x11xx101, 00x01xx111, 00xx1xx101, 00xx11x101, 00xx101111, 00001xx1x1, 00111xx1x1, 00011xx1x1}}

{01x0x \ {01100, 01001, 01x01}, 0xxxx \ {00xx0, 0x0xx, 0xx00}}
{xx00x \ {xx001, x000x, 0000x}}
{
   xx00x01x0x \ {
   xx00101x00, xx00001x01, xx00x01100, xx00x01001, xx00x01x01, xx00101x0x, x000x01x0x, 0000x01x0x}, xx00x0xx0x \ {
   xx0010xx00, xx0000xx01, xx00x00x00, xx00x0x00x, xx00x0xx00, xx0010xx0x, x000x0xx0x, 0000x0xx0x}}

{11x1x \ {11010, 11011, 11011}, 01xxx \ {01010, 010xx, 01x1x}}
{}
{}

{1xx0x \ {1000x, 10x0x, 11101}, 1x1x1 \ {10111, 111x1, 11111}}
{0xxxx \ {00111, 0x100, 01xx1}, xx01x \ {0x011, 11010, x101x}}
{
   0xx0x1xx0x \ {
   0xx011xx00, 0xx001xx01, 0xx0x1000x, 0xx0x10x0x, 0xx0x11101, 0x1001xx0x, 01x011xx0x}, 0xxx11x1x1 \ {
   0xx111x101, 0xx011x111, 0xxx110111, 0xxx1111x1, 0xxx111111, 001111x1x1, 01xx11x1x1}, xx0111x111 \ {
   xx01110111, xx01111111, xx01111111, 0x0111x111, x10111x111}}

{110xx \ {11000, 110x1, 11010}}
{x0111 \ {10111}, 11xxx \ {11110, 11x1x, 110x0}}
{
   x011111011 \ {
   x011111011, 1011111011}, 11xxx110xx \ {
   11xx1110x0, 11xx0110x1, 11x1x1100x, 11x0x1101x, 11xxx11000, 11xxx110x1, 11xxx11010, 11110110xx, 11x1x110xx, 110x0110xx}}

{x0110 \ {10110, 00110, 00110}}
{xx00x \ {x0000, 1x000, 0000x}, 1x0x1 \ {10011, 1x001, 1x001}}
{}

{0x11x \ {00110, 01111, 0x110}}
{x01x0 \ {00100, 10100, x0100}}
{
   x01100x110 \ {
   x011000110, x01100x110}}

{0xxxx \ {00111, 00xxx, 0x1x1}, 00x10 \ {00110, 00010}}
{x10xx \ {x10x0, 11000, 010x1}, x1xx0 \ {x11x0, x10x0, 011x0}}
{
   x10xx0xxxx \ {
   x10x10xxx0, x10x00xxx1, x101x0xx0x, x100x0xx1x, x10xx00111, x10xx00xxx, x10xx0x1x1, x10x00xxxx, 110000xxxx, 010x10xxxx}, x1xx00xxx0 \ {
   x1x100xx00, x1x000xx10, x1xx000xx0, x11x00xxx0, x10x00xxx0, 011x00xxx0}, x101000x10 \ {
   x101000110, x101000010, x101000x10}, x1x1000x10 \ {
   x1x1000110, x1x1000010, x111000x10, x101000x10, 0111000x10}}

{0xxx0 \ {01010, 00110, 01100}, xxx10 \ {01110, x0010, x1110}}
{00xxx \ {00010, 0010x, 00111}, x11xx \ {1111x, x110x, 11100}}
{
   00xx00xxx0 \ {
   00x100xx00, 00x000xx10, 00xx001010, 00xx000110, 00xx001100, 000100xxx0, 001000xxx0}, x11x00xxx0 \ {
   x11100xx00, x11000xx10, x11x001010, x11x000110, x11x001100, 111100xxx0, x11000xxx0, 111000xxx0}, 00x10xxx10 \ {
   00x1001110, 00x10x0010, 00x10x1110, 00010xxx10}, x1110xxx10 \ {
   x111001110, x1110x0010, x1110x1110, 11110xxx10}}

{0x0x0 \ {000x0, 01010, 01000}}
{xx1xx \ {x1100, xx101, 0x1x1}, 0x01x \ {00011, 0x010}}
{
   xx1x00x0x0 \ {
   xx1100x000, xx1000x010, xx1x0000x0, xx1x001010, xx1x001000, x11000x0x0}, 0x0100x010 \ {
   0x01000010, 0x01001010, 0x0100x010}}

{xx110 \ {01110, x0110, x0110}, 10x11 \ {10111, 10011}, 0x1xx \ {01111, 011xx, 01100}}
{x100x \ {0100x, x1000, 11000}, x100x \ {0100x, 01000, x1000}}
{
   x100x0x10x \ {
   x10010x100, x10000x101, x100x0110x, x100x01100, 0100x0x10x, x10000x10x, 110000x10x}}

{100x1 \ {10011}, xx111 \ {00111, 01111, x1111}}
{xxx0x \ {0xx0x, xx001, x000x}}
{
   xxx0110001 \ {
   0xx0110001, xx00110001, x000110001}}

{000xx \ {00000, 000x0, 0000x}}
{1100x \ {11001, 11000}, x011x \ {0011x, x0110, 00110}, xxx00 \ {1x000, x1100, 01x00}}
{
   1100x0000x \ {
   1100100000, 1100000001, 1100x00000, 1100x00000, 1100x0000x, 110010000x, 110000000x}, x011x0001x \ {
   x011100010, x011000011, x011x00010, 0011x0001x, x01100001x, 001100001x}, xxx0000000 \ {
   xxx0000000, xxx0000000, xxx0000000, 1x00000000, x110000000, 01x0000000}}

{0xxx1 \ {00x01, 0x1x1, 01x01}, x1x01 \ {01x01, 11101}}
{xx110 \ {x1110, 11110, 1x110}, 01x00 \ {01100, 01000}}
{}

{}
{x100x \ {1100x, x1001, 01001}, 00xx1 \ {00x01, 00001}, 111x0 \ {11100, 11110}}
{}

{1111x \ {11111}, x11x1 \ {11111, 011x1, 011x1}, 0x1xx \ {0x10x, 0x1x0, 001x0}}
{0x111 \ {01111, 00111}, 0111x \ {01110}}
{
   0x11111111 \ {
   0x11111111, 0111111111, 0011111111}, 0111x1111x \ {
   0111111110, 0111011111, 0111x11111, 011101111x}, 0x111x1111 \ {
   0x11111111, 0x11101111, 0x11101111, 01111x1111, 00111x1111}, 01111x1111 \ {
   0111111111, 0111101111, 0111101111}, 0x1110x111 \ {
   011110x111, 001110x111}, 0111x0x11x \ {
   011110x110, 011100x111, 0111x0x110, 0111x00110, 011100x11x}}

{11xxx \ {11xx1, 11111, 110x1}, 00x10 \ {00110, 00010}}
{x0011 \ {00011, 10011}, 0001x \ {00010, 00011}}
{
   x001111x11 \ {
   x001111x11, x001111111, x001111011, 0001111x11, 1001111x11}, 0001x11x1x \ {
   0001111x10, 0001011x11, 0001x11x11, 0001x11111, 0001x11011, 0001011x1x, 0001111x1x}, 0001000x10 \ {
   0001000110, 0001000010, 0001000x10}}

{1xx00 \ {11x00, 11100, 1x100}, 0x10x \ {00100, 01101, 01100}}
{1010x \ {10101, 10100}}
{
   101001xx00 \ {
   1010011x00, 1010011100, 101001x100, 101001xx00}, 1010x0x10x \ {
   101010x100, 101000x101, 1010x00100, 1010x01101, 1010x01100, 101010x10x, 101000x10x}}

{0x0xx \ {010xx, 000xx, 01011}}
{0110x \ {01100, 01101}}
{
   0110x0x00x \ {
   011010x000, 011000x001, 0110x0100x, 0110x0000x, 011000x00x, 011010x00x}}

{1x00x \ {1x001, 1100x, 10000}, 111xx \ {11110, 11101, 111x0}}
{01xx0 \ {01x10, 01000, 01010}, x1x10 \ {11010, 01110, 11110}, x11x0 \ {01100, x1110, 011x0}}
{
   01x001x000 \ {
   01x0011000, 01x0010000, 010001x000}, x11001x000 \ {
   x110011000, x110010000, 011001x000, 011001x000}, 01xx0111x0 \ {
   01x1011100, 01x0011110, 01xx011110, 01xx0111x0, 01x10111x0, 01000111x0, 01010111x0}, x1x1011110 \ {
   x1x1011110, x1x1011110, 1101011110, 0111011110, 1111011110}, x11x0111x0 \ {
   x111011100, x110011110, x11x011110, x11x0111x0, 01100111x0, x1110111x0, 011x0111x0}}

{xx1x0 \ {01110, x01x0, 101x0}, xx01x \ {1001x, 11010, x1010}}
{0xxx1 \ {01001, 00x11, 00001}, x00x0 \ {000x0, x0010, x0010}}
{
   x00x0xx1x0 \ {
   x0010xx100, x0000xx110, x00x001110, x00x0x01x0, x00x0101x0, 000x0xx1x0, x0010xx1x0, x0010xx1x0}, 0xx11xx011 \ {
   0xx1110011, 00x11xx011}, x0010xx010 \ {
   x001010010, x001011010, x0010x1010, 00010xx010, x0010xx010, x0010xx010}}

{}
{x0x1x \ {1001x, 10011, 10111}}
{}

{00x11 \ {00111, 00011, 00011}, 1xx0x \ {10x0x, 10001, 1x10x}}
{1xx01 \ {1x001, 10101, 11x01}, x1001 \ {11001, 01001}}
{
   1xx011xx01 \ {
   1xx0110x01, 1xx0110001, 1xx011x101, 1x0011xx01, 101011xx01, 11x011xx01}, x10011xx01 \ {
   x100110x01, x100110001, x10011x101, 110011xx01, 010011xx01}}

{xxxxx \ {1x001, xx011, 1x10x}, 000x1 \ {00011, 00001, 00001}, xx100 \ {10100, 1x100}}
{1100x \ {11001, 11000, 11000}, 0x10x \ {01100, 01101}}
{
   1100xxxx0x \ {
   11001xxx00, 11000xxx01, 1100x1x001, 1100x1x10x, 11001xxx0x, 11000xxx0x, 11000xxx0x}, 0x10xxxx0x \ {
   0x101xxx00, 0x100xxx01, 0x10x1x001, 0x10x1x10x, 01100xxx0x, 01101xxx0x}, 1100100001 \ {
   1100100001, 1100100001, 1100100001}, 0x10100001 \ {
   0x10100001, 0x10100001, 0110100001}, 11000xx100 \ {
   1100010100, 110001x100, 11000xx100, 11000xx100}, 0x100xx100 \ {
   0x10010100, 0x1001x100, 01100xx100}}

{xxx01 \ {10101, 1x001, 0x101}}
{1xx10 \ {11110, 10x10}}
{}

{xxx0x \ {x1x00, 1x001, 01000}}
{01xx0 \ {01000, 01110, 010x0}, 000xx \ {000x1, 00010, 00010}, 0x11x \ {0x111, 00111, 00111}}
{
   01x00xxx00 \ {
   01x00x1x00, 01x0001000, 01000xxx00, 01000xxx00}, 0000xxxx0x \ {
   00001xxx00, 00000xxx01, 0000xx1x00, 0000x1x001, 0000x01000, 00001xxx0x}}

{}
{xxxx1 \ {0x111, 101x1, 01xx1}, 10xxx \ {10101, 10xx0, 100x1}}
{}

{x1001 \ {01001, 11001}, 0xx10 \ {00x10, 01110, 0x010}}
{xxxx1 \ {1xx01, 0xx01, 110x1}, 11xx1 \ {11x11, 111x1, 111x1}, x0x1x \ {1011x, 1001x, 0011x}}
{
   xxx01x1001 \ {
   xxx0101001, xxx0111001, 1xx01x1001, 0xx01x1001, 11001x1001}, 11x01x1001 \ {
   11x0101001, 11x0111001, 11101x1001, 11101x1001}, x0x100xx10 \ {
   x0x1000x10, x0x1001110, x0x100x010, 101100xx10, 100100xx10, 001100xx10}}

{x0x11 \ {10111, x0011, 10x11}}
{0xx11 \ {01011, 01111, 01111}, x0xx1 \ {00111, x0101, 00011}, 0x00x \ {0x001, 01001, 0x000}}
{
   0xx11x0x11 \ {
   0xx1110111, 0xx11x0011, 0xx1110x11, 01011x0x11, 01111x0x11, 01111x0x11}, x0x11x0x11 \ {
   x0x1110111, x0x11x0011, x0x1110x11, 00111x0x11, 00011x0x11}}

{11x1x \ {11011, 11x11}}
{x0110 \ {10110}}
{
   x011011x10 \ {
   1011011x10}}

{010xx \ {0101x, 01010, 010x1}, x1x11 \ {11x11, x1111}}
{}
{}

{0xxx1 \ {0x101, 0x011, 010x1}, 00x1x \ {00x10, 00011}}
{0x11x \ {0x110, 0x111, 01110}}
{
   0x1110xx11 \ {
   0x1110x011, 0x11101011, 0x1110xx11}, 0x11x00x1x \ {
   0x11100x10, 0x11000x11, 0x11x00x10, 0x11x00011, 0x11000x1x, 0x11100x1x, 0111000x1x}}

{x0101 \ {00101, 10101, 10101}, 1x1xx \ {11111, 1110x, 111x0}}
{}
{}

{1xxxx \ {11xxx, 1xx01, 11001}, 01x01 \ {01101, 01001, 01001}}
{xx1x0 \ {0x1x0, x01x0, 001x0}, x1000 \ {11000}}
{
   xx1x01xxx0 \ {
   xx1101xx00, xx1001xx10, xx1x011xx0, 0x1x01xxx0, x01x01xxx0, 001x01xxx0}, x10001xx00 \ {
   x100011x00, 110001xx00}}

{x0111 \ {00111, 10111}, 1101x \ {11010, 11011}}
{0xx00 \ {01100, 01000, 00100}}
{}

{}
{x0x1x \ {0001x, 10x10, x0x11}}
{}

{}
{}
{}

{11xx1 \ {11011, 110x1, 111x1}, xx00x \ {xx001, x000x}}
{0x0xx \ {00001, 0001x, 000x1}}
{
   0x0x111xx1 \ {
   0x01111x01, 0x00111x11, 0x0x111011, 0x0x1110x1, 0x0x1111x1, 0000111xx1, 0001111xx1, 000x111xx1}, 0x00xxx00x \ {
   0x001xx000, 0x000xx001, 0x00xxx001, 0x00xx000x, 00001xx00x, 00001xx00x}}

{xx010 \ {00010, 11010, x0010}}
{0x11x \ {0x111, 01111}}
{
   0x110xx010 \ {
   0x11000010, 0x11011010, 0x110x0010}}

{000xx \ {000x0, 0000x, 000x1}}
{0x11x \ {01111, 00110, 00111}, x11x1 \ {11101, 111x1}}
{
   0x11x0001x \ {
   0x11100010, 0x11000011, 0x11x00010, 0x11x00011, 011110001x, 001100001x, 001110001x}, x11x1000x1 \ {
   x111100001, x110100011, x11x100001, x11x1000x1, 11101000x1, 111x1000x1}}

{xxx10 \ {00010, 11110, 10x10}, 0x110 \ {01110, 00110}, 1x1x0 \ {111x0, 101x0}}
{011xx \ {01111, 0110x}, 1xx00 \ {11x00, 10x00, 1x100}, 1x0x1 \ {10011, 110x1}}
{
   01110xxx10 \ {
   0111000010, 0111011110, 0111010x10}, 011100x110 \ {
   0111001110, 0111000110}, 011x01x1x0 \ {
   011101x100, 011001x110, 011x0111x0, 011x0101x0, 011001x1x0}, 1xx001x100 \ {
   1xx0011100, 1xx0010100, 11x001x100, 10x001x100, 1x1001x100}}

{x11x1 \ {x1101, 11101, 011x1}, xx1x0 \ {01110, 1x1x0, xx110}}
{x111x \ {01111, 01110, 11111}, 001x0 \ {00110, 00100, 00100}}
{
   x1111x1111 \ {
   x111101111, 01111x1111, 11111x1111}, x1110xx110 \ {
   x111001110, x11101x110, x1110xx110, 01110xx110}, 001x0xx1x0 \ {
   00110xx100, 00100xx110, 001x001110, 001x01x1x0, 001x0xx110, 00110xx1x0, 00100xx1x0, 00100xx1x0}}

{1xxxx \ {1xx00, 1100x, 1x111}, 10x10 \ {10110, 10010, 10010}}
{x001x \ {00010, 0001x}, 11xxx \ {11x00, 111xx, 1110x}}
{
   x001x1xx1x \ {
   x00111xx10, x00101xx11, x001x1x111, 000101xx1x, 0001x1xx1x}, 11xxx1xxxx \ {
   11xx11xxx0, 11xx01xxx1, 11x1x1xx0x, 11x0x1xx1x, 11xxx1xx00, 11xxx1100x, 11xxx1x111, 11x001xxxx, 111xx1xxxx, 1110x1xxxx}, x001010x10 \ {
   x001010110, x001010010, x001010010, 0001010x10, 0001010x10}, 11x1010x10 \ {
   11x1010110, 11x1010010, 11x1010010, 1111010x10}}

{00x1x \ {00010, 00110, 00x10}}
{1x1x0 \ {1x100, 11110, 101x0}, 100x0 \ {10000}, x101x \ {x1010, 11010, 11010}}
{
   1x11000x10 \ {
   1x11000010, 1x11000110, 1x11000x10, 1111000x10, 1011000x10}, 1001000x10 \ {
   1001000010, 1001000110, 1001000x10}, x101x00x1x \ {
   x101100x10, x101000x11, x101x00010, x101x00110, x101x00x10, x101000x1x, 1101000x1x, 1101000x1x}}

{00x1x \ {00x11, 00011, 00x10}}
{1x0xx \ {11000, 100x0, 100xx}, 0x11x \ {0x111, 00110, 0111x}}
{
   1x01x00x1x \ {
   1x01100x10, 1x01000x11, 1x01x00x11, 1x01x00011, 1x01x00x10, 1001000x1x, 1001x00x1x}, 0x11x00x1x \ {
   0x11100x10, 0x11000x11, 0x11x00x11, 0x11x00011, 0x11x00x10, 0x11100x1x, 0011000x1x, 0111x00x1x}}

{11xx0 \ {11000, 11100, 11x00}, 1x101 \ {10101, 11101, 11101}}
{0xxx1 \ {01xx1, 0x011, 01011}, xxx11 \ {xx011, 0xx11, 01011}}
{
   0xx011x101 \ {
   0xx0110101, 0xx0111101, 0xx0111101, 01x011x101}}

{}
{xx1x0 \ {x1100, 11100, 111x0}, xx110 \ {01110, 10110, 11110}}
{}

{}
{xxxx0 \ {xx100, x0110, 11100}, 000x1 \ {00011}}
{}

{x0xx0 \ {00100, x0x10, 00110}, 1x10x \ {10101, 1x100, 1x100}}
{00x10 \ {00110}}
{
   00x10x0x10 \ {
   00x10x0x10, 00x1000110, 00110x0x10}}

{011xx \ {0111x, 0110x, 0110x}}
{xx1x1 \ {01101, 0x111, 10101}}
{
   xx1x1011x1 \ {
   xx11101101, xx10101111, xx1x101111, xx1x101101, xx1x101101, 01101011x1, 0x111011x1, 10101011x1}}

{xx11x \ {00111, 01111, 1111x}}
{}
{}

{0x0x1 \ {000x1, 0x011, 01001}, 10x0x \ {10001, 1010x, 10100}, 1x001 \ {11001}}
{x11x1 \ {x1111, 111x1, 011x1}}
{
   x11x10x0x1 \ {
   x11110x001, x11010x011, x11x1000x1, x11x10x011, x11x101001, x11110x0x1, 111x10x0x1, 011x10x0x1}, x110110x01 \ {
   x110110001, x110110101, 1110110x01, 0110110x01}, x11011x001 \ {
   x110111001, 111011x001, 011011x001}}

{x1x1x \ {1101x, 11110, 0111x}, xxxxx \ {0x101, x1x1x, 011x0}, 1xx01 \ {1x001, 10x01, 10x01}}
{x1x01 \ {11101, 01001, 01001}}
{
   x1x01xxx01 \ {
   x1x010x101, 11101xxx01, 01001xxx01, 01001xxx01}, x1x011xx01 \ {
   x1x011x001, x1x0110x01, x1x0110x01, 111011xx01, 010011xx01, 010011xx01}}

{11xx0 \ {11110, 110x0}}
{x0x1x \ {10x10, 00x10, 00x1x}}
{
   x0x1011x10 \ {
   x0x1011110, x0x1011010, 10x1011x10, 00x1011x10, 00x1011x10}}

{x1xxx \ {110xx, x1111, 01x11}}
{0xx11 \ {0x011, 01x11, 01x11}, 00x1x \ {00x10, 00x11, 0001x}}
{
   0xx11x1x11 \ {
   0xx1111011, 0xx11x1111, 0xx1101x11, 0x011x1x11, 01x11x1x11, 01x11x1x11}, 00x1xx1x1x \ {
   00x11x1x10, 00x10x1x11, 00x1x1101x, 00x1xx1111, 00x1x01x11, 00x10x1x1x, 00x11x1x1x, 0001xx1x1x}}

{01x01 \ {01001, 01101}, xxxx0 \ {xxx10, x00x0, x0010}}
{x1xx1 \ {11101, 11x11, x1001}, xx1xx \ {x01x1, xx1x1, x111x}, xxx1x \ {0101x, 11010, x0110}}
{
   x1x0101x01 \ {
   x1x0101001, x1x0101101, 1110101x01, x100101x01}, xx10101x01 \ {
   xx10101001, xx10101101, x010101x01, xx10101x01}, xx1x0xxxx0 \ {
   xx110xxx00, xx100xxx10, xx1x0xxx10, xx1x0x00x0, xx1x0x0010, x1110xxxx0}, xxx10xxx10 \ {
   xxx10xxx10, xxx10x0010, xxx10x0010, 01010xxx10, 11010xxx10, x0110xxx10}}

{01x1x \ {01011, 0111x, 0111x}, 01x01 \ {01001, 01101}}
{11x1x \ {11011, 11111}, 1x1x1 \ {11111, 111x1, 11101}}
{
   11x1x01x1x \ {
   11x1101x10, 11x1001x11, 11x1x01011, 11x1x0111x, 11x1x0111x, 1101101x1x, 1111101x1x}, 1x11101x11 \ {
   1x11101011, 1x11101111, 1x11101111, 1111101x11, 1111101x11}, 1x10101x01 \ {
   1x10101001, 1x10101101, 1110101x01, 1110101x01}}

{0xxx0 \ {01110, 0x110}}
{xxx0x \ {1110x, 0x000, x0x00}, 0xx0x \ {01x00, 01x0x}}
{
   xxx000xx00 \ {
   111000xx00, 0x0000xx00, x0x000xx00}, 0xx000xx00 \ {
   01x000xx00, 01x000xx00}}

{}
{1101x \ {11010, 11011}}
{}

{x1x11 \ {11x11, x1011, 01x11}}
{}
{}

{1xx00 \ {1x100, 1x000}}
{x000x \ {00000, x0001}, 01xxx \ {01x0x, 01000, 01xx0}}
{
   x00001xx00 \ {
   x00001x100, x00001x000, 000001xx00}, 01x001xx00 \ {
   01x001x100, 01x001x000, 01x001xx00, 010001xx00, 01x001xx00}}

{0x11x \ {01111, 00110, 00111}, 100xx \ {100x0, 100x1, 10001}}
{}
{}

{010xx \ {01001, 01011, 01000}, 01xx0 \ {01110, 01100}, 111x0 \ {11100}}
{}
{}

{xxx11 \ {10011, x0011, x0x11}, 1x00x \ {11000, 10001, 10001}, 0xxx0 \ {0x110, 01x00, 0xx00}}
{}
{}

{xxx1x \ {xx111, 01011, 0001x}, 00x0x \ {0010x, 0000x, 00001}}
{}
{}

{00x0x \ {00101, 00100}, x0100 \ {10100, 00100}}
{0x00x \ {01001}}
{
   0x00x00x0x \ {
   0x00100x00, 0x00000x01, 0x00x00101, 0x00x00100, 0100100x0x}, 0x000x0100 \ {
   0x00010100, 0x00000100}}

{00x1x \ {00110, 0001x}, 001xx \ {00110, 001x0, 0011x}}
{xx001 \ {01001, x0001, 11001}}
{
   xx00100101 \ {
   0100100101, x000100101, 1100100101}}

{x00xx \ {x00x1, 10000, 1001x}, 11x11 \ {11011, 11111}, x11xx \ {01101, 01111, x1101}}
{}
{}

{xx0x1 \ {xx011, 00011, x0011}, xxxx0 \ {10110, 010x0, 010x0}, x10x0 \ {x1010, 110x0, 01010}}
{0x10x \ {00101, 01100, 0010x}}
{
   0x101xx001 \ {
   00101xx001, 00101xx001}, 0x100xxx00 \ {
   0x10001000, 0x10001000, 01100xxx00, 00100xxx00}, 0x100x1000 \ {
   0x10011000, 01100x1000, 00100x1000}}

{}
{0x1x1 \ {0x101, 01111, 01111}, x1x10 \ {x1110, 01110, 01110}, xx000 \ {11000, 00000}}
{}

{x10xx \ {x1000, 01011, 11010}, 1xx1x \ {1xx11, 10x1x, 10x11}}
{xxx00 \ {01100, 01x00, 01x00}}
{
   xxx00x1000 \ {
   xxx00x1000, 01100x1000, 01x00x1000, 01x00x1000}}

{}
{x11x1 \ {01111, 11101, 111x1}}
{}

{x1x1x \ {11x1x, x111x, 01011}, 1100x \ {11001, 11000}}
{0x001 \ {01001, 00001}}
{
   0x00111001 \ {
   0x00111001, 0100111001, 0000111001}}

{1xx00 \ {11000, 10000}, x1x01 \ {x1001, 01x01, 01x01}}
{x0x1x \ {x0011, 10x10, 00011}, x00x1 \ {x0001, 00011, 100x1}}
{
   x0001x1x01 \ {
   x0001x1001, x000101x01, x000101x01, x0001x1x01, 10001x1x01}}

{xxxx0 \ {01000, x1010, 11000}}
{10x1x \ {10010, 1011x, 10x10}, xx0x0 \ {0x0x0, 0x000, xx010}, x0xxx \ {10101, 001xx, 00x00}}
{
   10x10xxx10 \ {
   10x10x1010, 10010xxx10, 10110xxx10, 10x10xxx10}, xx0x0xxxx0 \ {
   xx010xxx00, xx000xxx10, xx0x001000, xx0x0x1010, xx0x011000, 0x0x0xxxx0, 0x000xxxx0, xx010xxxx0}, x0xx0xxxx0 \ {
   x0x10xxx00, x0x00xxx10, x0xx001000, x0xx0x1010, x0xx011000, 001x0xxxx0, 00x00xxxx0}}

{x1100 \ {11100}}
{x101x \ {x1010, 01011, x1011}, 00xx1 \ {00001, 00101}}
{}

{0x1x1 \ {001x1, 01111, 0x101}}
{x0x0x \ {10001, 00100, x0100}, xx001 \ {x1001, 00001, 00001}}
{
   x0x010x101 \ {
   x0x0100101, x0x010x101, 100010x101}, xx0010x101 \ {
   xx00100101, xx0010x101, x10010x101, 000010x101, 000010x101}}

{1100x \ {11001, 11000}, x1x0x \ {x1001, 11101, 11001}}
{x001x \ {10010, x0010}, xx001 \ {x0001, 01001, 11001}, 1110x \ {11101, 11100, 11100}}
{
   xx00111001 \ {
   xx00111001, x000111001, 0100111001, 1100111001}, 1110x1100x \ {
   1110111000, 1110011001, 1110x11001, 1110x11000, 111011100x, 111001100x, 111001100x}, xx001x1x01 \ {
   xx001x1001, xx00111101, xx00111001, x0001x1x01, 01001x1x01, 11001x1x01}, 1110xx1x0x \ {
   11101x1x00, 11100x1x01, 1110xx1001, 1110x11101, 1110x11001, 11101x1x0x, 11100x1x0x, 11100x1x0x}}

{xxx00 \ {x1100, 00000, 10x00}, 01xxx \ {01101, 010x0, 01x0x}}
{01xxx \ {011x0, 01x0x}}
{
   01x00xxx00 \ {
   01x00x1100, 01x0000000, 01x0010x00, 01100xxx00, 01x00xxx00}, 01xxx01xxx \ {
   01xx101xx0, 01xx001xx1, 01x1x01x0x, 01x0x01x1x, 01xxx01101, 01xxx010x0, 01xxx01x0x, 011x001xxx, 01x0x01xxx}}

{}
{xx110 \ {11110, 01110, 00110}, 1xx00 \ {11x00, 10x00, 1x000}}
{}

{10xxx \ {1011x, 10x01, 101x1}, xx111 \ {01111, 0x111, x1111}}
{x0xx1 \ {x01x1, 10111, 00111}, xx1x1 \ {10111, 10101, x11x1}}
{
   x0xx110xx1 \ {
   x0x1110x01, x0x0110x11, x0xx110111, x0xx110x01, x0xx1101x1, x01x110xx1, 1011110xx1, 0011110xx1}, xx1x110xx1 \ {
   xx11110x01, xx10110x11, xx1x110111, xx1x110x01, xx1x1101x1, 1011110xx1, 1010110xx1, x11x110xx1}, x0x11xx111 \ {
   x0x1101111, x0x110x111, x0x11x1111, x0111xx111, 10111xx111, 00111xx111}, xx111xx111 \ {
   xx11101111, xx1110x111, xx111x1111, 10111xx111, x1111xx111}}

{xx1xx \ {1011x, 00100, 00100}, x1x01 \ {01101}}
{01x10 \ {01110}, xx011 \ {x0011, 01011}}
{
   01x10xx110 \ {
   01x1010110, 01110xx110}, xx011xx111 \ {
   xx01110111, x0011xx111, 01011xx111}}

{00xx0 \ {000x0, 00010, 00010}, 01xx1 \ {011x1, 01101, 01x11}}
{1x01x \ {1101x, 1x010}, 0x1x0 \ {00100, 001x0, 01100}}
{
   1x01000x10 \ {
   1x01000010, 1x01000010, 1x01000010, 1101000x10, 1x01000x10}, 0x1x000xx0 \ {
   0x11000x00, 0x10000x10, 0x1x0000x0, 0x1x000010, 0x1x000010, 0010000xx0, 001x000xx0, 0110000xx0}, 1x01101x11 \ {
   1x01101111, 1x01101x11, 1101101x11}}

{1x01x \ {11010, 1x010, 11011}}
{11xx1 \ {11111, 11101, 110x1}, 10x1x \ {1001x, 10010, 10x10}, x1x01 \ {01x01, x1101, x1001}}
{
   11x111x011 \ {
   11x1111011, 111111x011, 110111x011}, 10x1x1x01x \ {
   10x111x010, 10x101x011, 10x1x11010, 10x1x1x010, 10x1x11011, 1001x1x01x, 100101x01x, 10x101x01x}}

{x0x11 \ {10011, 00x11, 10111}, xx1xx \ {x0101, x111x, 11100}, x0x0x \ {00001, x000x, 00x0x}}
{1x111 \ {10111}, x1xxx \ {x1101, x1000, 01001}}
{
   1x111x0x11 \ {
   1x11110011, 1x11100x11, 1x11110111, 10111x0x11}, x1x11x0x11 \ {
   x1x1110011, x1x1100x11, x1x1110111}, 1x111xx111 \ {
   1x111x1111, 10111xx111}, x1xxxxx1xx \ {
   x1xx1xx1x0, x1xx0xx1x1, x1x1xxx10x, x1x0xxx11x, x1xxxx0101, x1xxxx111x, x1xxx11100, x1101xx1xx, x1000xx1xx, 01001xx1xx}, x1x0xx0x0x \ {
   x1x01x0x00, x1x00x0x01, x1x0x00001, x1x0xx000x, x1x0x00x0x, x1101x0x0x, x1000x0x0x, 01001x0x0x}}

{x0xxx \ {x00xx, x0x11, 10010}}
{xxx0x \ {0x10x, 11x01, 0x000}, xxx10 \ {x1x10, 1x010, xx110}}
{
   xxx0xx0x0x \ {
   xxx01x0x00, xxx00x0x01, xxx0xx000x, 0x10xx0x0x, 11x01x0x0x, 0x000x0x0x}, xxx10x0x10 \ {
   xxx10x0010, xxx1010010, x1x10x0x10, 1x010x0x10, xx110x0x10}}

{x1x10 \ {x1110, x1010}, xx100 \ {10100, 11100}}
{}
{}

{x0111 \ {00111, 10111}, x1x00 \ {11x00, 11000, x1000}, xxxx1 \ {11101, 100x1, 1x001}}
{x00x1 \ {00011, 000x1, 10001}, 1x01x \ {10011, 1x011, 11010}}
{
   x0011x0111 \ {
   x001100111, x001110111, 00011x0111, 00011x0111}, 1x011x0111 \ {
   1x01100111, 1x01110111, 10011x0111, 1x011x0111}, x00x1xxxx1 \ {
   x0011xxx01, x0001xxx11, x00x111101, x00x1100x1, x00x11x001, 00011xxxx1, 000x1xxxx1, 10001xxxx1}, 1x011xxx11 \ {
   1x01110011, 10011xxx11, 1x011xxx11}}

{x01xx \ {10100, 00110, 1011x}, x1111 \ {11111, 01111, 01111}}
{000x0 \ {00010, 00000, 00000}, x111x \ {11110, 01111, x1110}, 1xx10 \ {11x10, 10110, 10010}}
{
   000x0x01x0 \ {
   00010x0100, 00000x0110, 000x010100, 000x000110, 000x010110, 00010x01x0, 00000x01x0, 00000x01x0}, x111xx011x \ {
   x1111x0110, x1110x0111, x111x00110, x111x1011x, 11110x011x, 01111x011x, x1110x011x}, 1xx10x0110 \ {
   1xx1000110, 1xx1010110, 11x10x0110, 10110x0110, 10010x0110}, x1111x1111 \ {
   x111111111, x111101111, x111101111, 01111x1111}}

{0x0xx \ {0x01x, 000xx, 000x1}, 10x11 \ {10011, 10111}}
{010xx \ {01001, 010x0, 010x1}}
{
   010xx0x0xx \ {
   010x10x0x0, 010x00x0x1, 0101x0x00x, 0100x0x01x, 010xx0x01x, 010xx000xx, 010xx000x1, 010010x0xx, 010x00x0xx, 010x10x0xx}, 0101110x11 \ {
   0101110011, 0101110111, 0101110x11}}

{xx0xx \ {1x0xx, 10011, x10x0}, 10x1x \ {10011, 1001x, 10110}, 101x1 \ {10101}}
{}
{}

{001xx \ {00100, 001x1, 00101}, 1xxx1 \ {10xx1, 1x001, 11111}}
{0xx10 \ {01110, 01x10, 0x110}}
{
   0xx1000110 \ {
   0111000110, 01x1000110, 0x11000110}}

{}
{1110x \ {11100}}
{}

{1001x \ {10010}, 0100x \ {01001, 01000, 01000}}
{}
{}

{1x1x0 \ {10100, 10110, 11110}, 0010x \ {00100, 00101}}
{x110x \ {01100, x1101, 01101}, x1x01 \ {x1101, 01001, 01x01}}
{
   x11001x100 \ {
   x110010100, 011001x100}, x110x0010x \ {
   x110100100, x110000101, x110x00100, x110x00101, 011000010x, x11010010x, 011010010x}, x1x0100101 \ {
   x1x0100101, x110100101, 0100100101, 01x0100101}}

{11x1x \ {11x10, 11x11, 11111}}
{1xxx0 \ {1x0x0, 1x100, 100x0}}
{
   1xx1011x10 \ {
   1xx1011x10, 1x01011x10, 1001011x10}}

{01xx0 \ {01000, 01x10, 01x00}}
{x011x \ {10111, x0111, x0110}}
{
   x011001x10 \ {
   x011001x10, x011001x10}}

{0x0x1 \ {01001, 010x1, 0x001}}
{}
{}

{11x1x \ {11011, 1101x, 1101x}, 0001x \ {00011, 00010}, x0xx0 \ {x00x0, 10100, 00100}}
{10x1x \ {10111, 10110}, 10xx1 \ {10x01, 100x1, 101x1}}
{
   10x1x11x1x \ {
   10x1111x10, 10x1011x11, 10x1x11011, 10x1x1101x, 10x1x1101x, 1011111x1x, 1011011x1x}, 10x1111x11 \ {
   10x1111011, 10x1111011, 10x1111011, 1001111x11, 1011111x11}, 10x1x0001x \ {
   10x1100010, 10x1000011, 10x1x00011, 10x1x00010, 101110001x, 101100001x}, 10x1100011 \ {
   10x1100011, 1001100011, 1011100011}, 10x10x0x10 \ {
   10x10x0010, 10110x0x10}}

{1x01x \ {10011, 11011, 11011}, x1101 \ {01101, 11101}}
{x0xx0 \ {x0110, x0x00, 00100}}
{
   x0x101x010 \ {
   x01101x010}}

{xxxx1 \ {x1xx1, xx1x1, x1101}, 010x0 \ {01000}, x00x0 \ {10000, 000x0, 100x0}}
{xx011 \ {x1011, x0011}}
{
   xx011xxx11 \ {
   xx011x1x11, xx011xx111, x1011xxx11, x0011xxx11}}

{xxx11 \ {xx011, 1x111, 00011}, 11x0x \ {11100, 11x01, 1100x}, xx0x0 \ {010x0, xx010, x10x0}}
{x1x01 \ {x1101, 01x01, 01001}, xx010 \ {00010, x1010, 1x010}}
{
   x1x0111x01 \ {
   x1x0111x01, x1x0111001, x110111x01, 01x0111x01, 0100111x01}, xx010xx010 \ {
   xx01001010, xx010xx010, xx010x1010, 00010xx010, x1010xx010, 1x010xx010}}

{x0x00 \ {00000, 10x00}, 1110x \ {11100, 11101, 11101}, x01xx \ {001x0, 1011x, 00111}}
{1x10x \ {11100, 11101, 10100}, 11xx0 \ {11000, 11x00}, x11x0 \ {111x0, 01100, x1100}}
{
   1x100x0x00 \ {
   1x10000000, 1x10010x00, 11100x0x00, 10100x0x00}, 11x00x0x00 \ {
   11x0000000, 11x0010x00, 11000x0x00, 11x00x0x00}, x1100x0x00 \ {
   x110000000, x110010x00, 11100x0x00, 01100x0x00, x1100x0x00}, 1x10x1110x \ {
   1x10111100, 1x10011101, 1x10x11100, 1x10x11101, 1x10x11101, 111001110x, 111011110x, 101001110x}, 11x0011100 \ {
   11x0011100, 1100011100, 11x0011100}, x110011100 \ {
   x110011100, 1110011100, 0110011100, x110011100}, 1x10xx010x \ {
   1x101x0100, 1x100x0101, 1x10x00100, 11100x010x, 11101x010x, 10100x010x}, 11xx0x01x0 \ {
   11x10x0100, 11x00x0110, 11xx0001x0, 11xx010110, 11000x01x0, 11x00x01x0}, x11x0x01x0 \ {
   x1110x0100, x1100x0110, x11x0001x0, x11x010110, 111x0x01x0, 01100x01x0, x1100x01x0}}

{}
{1xxxx \ {110x0, 11xx1, 111x1}, x11xx \ {11101, 1111x, 11100}}
{}

{}
{1011x \ {10111}, x0xx1 \ {x0011, x0101, 00xx1}}
{}

{1001x \ {10011, 10010, 10010}}
{0x0x1 \ {010x1, 01001, 000x1}}
{
   0x01110011 \ {
   0x01110011, 0101110011, 0001110011}}

{01xxx \ {0110x, 01101, 010x1}, x10xx \ {11010, 010x1, 01001}}
{xx0xx \ {x00x1, 010x0, 11001}}
{
   xx0xx01xxx \ {
   xx0x101xx0, xx0x001xx1, xx01x01x0x, xx00x01x1x, xx0xx0110x, xx0xx01101, xx0xx010x1, x00x101xxx, 010x001xxx, 1100101xxx}, xx0xxx10xx \ {
   xx0x1x10x0, xx0x0x10x1, xx01xx100x, xx00xx101x, xx0xx11010, xx0xx010x1, xx0xx01001, x00x1x10xx, 010x0x10xx, 11001x10xx}}

{x0x0x \ {00x01, x010x, x0101}, xx0xx \ {xx0x1, 010xx, 11001}}
{0x1x1 \ {011x1, 01101, 001x1}, 1x01x \ {1x010, 10010, 10010}}
{
   0x101x0x01 \ {
   0x10100x01, 0x101x0101, 0x101x0101, 01101x0x01, 01101x0x01, 00101x0x01}, 0x1x1xx0x1 \ {
   0x111xx001, 0x101xx011, 0x1x1xx0x1, 0x1x1010x1, 0x1x111001, 011x1xx0x1, 01101xx0x1, 001x1xx0x1}, 1x01xxx01x \ {
   1x011xx010, 1x010xx011, 1x01xxx011, 1x01x0101x, 1x010xx01x, 10010xx01x, 10010xx01x}}

{111x1 \ {11111, 11101}}
{000xx \ {00000, 00010, 00010}}
{
   000x1111x1 \ {
   0001111101, 0000111111, 000x111111, 000x111101}}

{xx011 \ {0x011, x1011}, x0x0x \ {00x01, 10101, 1000x}}
{xxx11 \ {x1011, 1x111, x1111}, xxx0x \ {0x001, 11x00, x0x0x}}
{
   xxx11xx011 \ {
   xxx110x011, xxx11x1011, x1011xx011, 1x111xx011, x1111xx011}, xxx0xx0x0x \ {
   xxx01x0x00, xxx00x0x01, xxx0x00x01, xxx0x10101, xxx0x1000x, 0x001x0x0x, 11x00x0x0x, x0x0xx0x0x}}

{}
{0x01x \ {00010, 0101x, 0001x}}
{}

{x1xxx \ {01100, 11x11, x111x}, 0xx01 \ {01x01, 0x101}, 1xx1x \ {10011, 10x11, 1x011}}
{x00xx \ {0000x, 10011, 000x0}, 11x1x \ {11011, 1111x, 11x10}}
{
   x00xxx1xxx \ {
   x00x1x1xx0, x00x0x1xx1, x001xx1x0x, x000xx1x1x, x00xx01100, x00xx11x11, x00xxx111x, 0000xx1xxx, 10011x1xxx, 000x0x1xxx}, 11x1xx1x1x \ {
   11x11x1x10, 11x10x1x11, 11x1x11x11, 11x1xx111x, 11011x1x1x, 1111xx1x1x, 11x10x1x1x}, x00010xx01 \ {
   x000101x01, x00010x101, 000010xx01}, x001x1xx1x \ {
   x00111xx10, x00101xx11, x001x10011, x001x10x11, x001x1x011, 100111xx1x, 000101xx1x}, 11x1x1xx1x \ {
   11x111xx10, 11x101xx11, 11x1x10011, 11x1x10x11, 11x1x1x011, 110111xx1x, 1111x1xx1x, 11x101xx1x}}

{xx11x \ {0x110, 00111, 01110}, 11x11 \ {11011, 11111, 11111}}
{1x0x1 \ {11011, 10011, 1x011}, xx01x \ {0x01x, 10010, xx010}}
{
   1x011xx111 \ {
   1x01100111, 11011xx111, 10011xx111, 1x011xx111}, xx01xxx11x \ {
   xx011xx110, xx010xx111, xx01x0x110, xx01x00111, xx01x01110, 0x01xxx11x, 10010xx11x, xx010xx11x}, 1x01111x11 \ {
   1x01111011, 1x01111111, 1x01111111, 1101111x11, 1001111x11, 1x01111x11}, xx01111x11 \ {
   xx01111011, xx01111111, xx01111111, 0x01111x11}}

{xx10x \ {x0101, 00101, xx101}, x01x1 \ {10101, 10111, 00111}}
{xxx11 \ {1x011, 0x111, x1011}}
{
   xxx11x0111 \ {
   xxx1110111, xxx1100111, 1x011x0111, 0x111x0111, x1011x0111}}

{1001x \ {10011, 10010, 10010}, xx010 \ {1x010, 0x010}}
{00x00 \ {00100}}
{}

{xxxx1 \ {00001, xx111, x1111}, 0x01x \ {0x011, 01011, 00010}}
{1xx1x \ {11x11, 1x011, 10111}}
{
   1xx11xxx11 \ {
   1xx11xx111, 1xx11x1111, 11x11xxx11, 1x011xxx11, 10111xxx11}, 1xx1x0x01x \ {
   1xx110x010, 1xx100x011, 1xx1x0x011, 1xx1x01011, 1xx1x00010, 11x110x01x, 1x0110x01x, 101110x01x}}

{}
{1x0x1 \ {110x1, 100x1, 10001}}
{}

{0x001 \ {00001, 01001}}
{xx0xx \ {11010, x10x1, x10xx}, 0xxxx \ {01x1x, 0x101, 010x0}}
{
   xx0010x001 \ {
   xx00100001, xx00101001, x10010x001, x10010x001}, 0xx010x001 \ {
   0xx0100001, 0xx0101001, 0x1010x001}}

{x1xxx \ {11011, x1001, x111x}, xx001 \ {x0001, x1001, 11001}}
{0111x \ {01111, 01110, 01110}, xx11x \ {x111x, 1111x, 11110}}
{
   0111xx1x1x \ {
   01111x1x10, 01110x1x11, 0111x11011, 0111xx111x, 01111x1x1x, 01110x1x1x, 01110x1x1x}, xx11xx1x1x \ {
   xx111x1x10, xx110x1x11, xx11x11011, xx11xx111x, x111xx1x1x, 1111xx1x1x, 11110x1x1x}}

{11x0x \ {11100, 1100x, 1110x}, x1000 \ {01000}, x1x01 \ {11001, x1101}}
{xx111 \ {11111, 01111}}
{}

{x11xx \ {111x0, 1111x}}
{x0x00 \ {x0000, 00x00, 00000}, 101x1 \ {10111}, 0x11x \ {01110, 00111}}
{
   x0x00x1100 \ {
   x0x0011100, x0000x1100, 00x00x1100, 00000x1100}, 101x1x11x1 \ {
   10111x1101, 10101x1111, 101x111111, 10111x11x1}, 0x11xx111x \ {
   0x111x1110, 0x110x1111, 0x11x11110, 0x11x1111x, 01110x111x, 00111x111x}}

{xx1x0 \ {10100, 00100, 10110}, x10x0 \ {01010, 010x0, 01000}}
{xx00x \ {10000, 00001, xx001}}
{
   xx000xx100 \ {
   xx00010100, xx00000100, 10000xx100}, xx000x1000 \ {
   xx00001000, xx00001000, 10000x1000}}

{000x0 \ {00000}}
{01x0x \ {01x00, 01000, 01100}, x1xx0 \ {11x00, 01x00, 11000}}
{
   01x0000000 \ {
   01x0000000, 01x0000000, 0100000000, 0110000000}, x1xx0000x0 \ {
   x1x1000000, x1x0000010, x1xx000000, 11x00000x0, 01x00000x0, 11000000x0}}

{xx0xx \ {10011, 11001, x001x}, 1xx10 \ {11010, 10110, 1x110}}
{011x0 \ {01110}, x1xxx \ {010x1, 11010, x11x1}}
{
   011x0xx0x0 \ {
   01110xx000, 01100xx010, 011x0x0010, 01110xx0x0}, x1xxxxx0xx \ {
   x1xx1xx0x0, x1xx0xx0x1, x1x1xxx00x, x1x0xxx01x, x1xxx10011, x1xxx11001, x1xxxx001x, 010x1xx0xx, 11010xx0xx, x11x1xx0xx}, 011101xx10 \ {
   0111011010, 0111010110, 011101x110, 011101xx10}, x1x101xx10 \ {
   x1x1011010, x1x1010110, x1x101x110, 110101xx10}}

{0xxxx \ {0110x, 01111, 00xx1}, 000x0 \ {00000, 00010, 00010}}
{}
{}

{}
{}
{}

{x0001 \ {00001}}
{x11x1 \ {x1101, 01101, 01111}}
{
   x1101x0001 \ {
   x110100001, x1101x0001, 01101x0001}}

{x001x \ {1001x, x0010, 00011}, 001xx \ {00101, 00100}}
{0x000 \ {01000, 00000}}
{
   0x00000100 \ {
   0x00000100, 0100000100, 0000000100}}

{1x010 \ {11010, 10010}, 1x0xx \ {1x000, 1x0x0, 10000}, 000xx \ {00011, 00010}}
{11xxx \ {11111, 11x11, 11010}, 0x1x1 \ {0x111, 001x1, 00111}}
{
   11x101x010 \ {
   11x1011010, 11x1010010, 110101x010}, 11xxx1x0xx \ {
   11xx11x0x0, 11xx01x0x1, 11x1x1x00x, 11x0x1x01x, 11xxx1x000, 11xxx1x0x0, 11xxx10000, 111111x0xx, 11x111x0xx, 110101x0xx}, 0x1x11x0x1 \ {
   0x1111x001, 0x1011x011, 0x1111x0x1, 001x11x0x1, 001111x0x1}, 11xxx000xx \ {
   11xx1000x0, 11xx0000x1, 11x1x0000x, 11x0x0001x, 11xxx00011, 11xxx00010, 11111000xx, 11x11000xx, 11010000xx}, 0x1x1000x1 \ {
   0x11100001, 0x10100011, 0x1x100011, 0x111000x1, 001x1000x1, 00111000x1}}

{x11xx \ {111xx, 01111, x110x}, xx1x1 \ {x11x1, x1111, 0x111}}
{x10xx \ {1101x, x10x0, 010xx}, 1010x \ {10100}}
{
   x10xxx11xx \ {
   x10x1x11x0, x10x0x11x1, x101xx110x, x100xx111x, x10xx111xx, x10xx01111, x10xxx110x, 1101xx11xx, x10x0x11xx, 010xxx11xx}, 1010xx110x \ {
   10101x1100, 10100x1101, 1010x1110x, 1010xx110x, 10100x110x}, x10x1xx1x1 \ {
   x1011xx101, x1001xx111, x10x1x11x1, x10x1x1111, x10x10x111, 11011xx1x1, 010x1xx1x1}, 10101xx101 \ {
   10101x1101}}

{x0101 \ {10101}}
{}
{}

{0x1xx \ {01100, 00100, 0x1x0}, 00x11 \ {00111, 00011, 00011}}
{xx010 \ {x0010}, 1xx00 \ {10x00, 1x000, 1x000}}
{
   xx0100x110 \ {
   xx0100x110, x00100x110}, 1xx000x100 \ {
   1xx0001100, 1xx0000100, 1xx000x100, 10x000x100, 1x0000x100, 1x0000x100}}

{11xxx \ {11000, 11x10, 1111x}}
{x0xx0 \ {10110, 10xx0, x0110}}
{
   x0xx011xx0 \ {
   x0x1011x00, x0x0011x10, x0xx011000, x0xx011x10, x0xx011110, 1011011xx0, 10xx011xx0, x011011xx0}}

{001x0 \ {00100, 00110, 00110}, x01x0 \ {10110, 10100, x0100}}
{}
{}

{}
{xxx01 \ {x0x01, 0x101, 11101}}
{}

{0xx0x \ {00001, 0000x, 0110x}, 1xx1x \ {11010, 10x10, 10011}}
{xx0x1 \ {11011, x0011, x1011}, xx1xx \ {101xx, 1111x, x1110}}
{
   xx0010xx01 \ {
   xx00100001, xx00100001, xx00101101}, xx10x0xx0x \ {
   xx1010xx00, xx1000xx01, xx10x00001, xx10x0000x, xx10x0110x, 1010x0xx0x}, xx0111xx11 \ {
   xx01110011, 110111xx11, x00111xx11, x10111xx11}, xx11x1xx1x \ {
   xx1111xx10, xx1101xx11, xx11x11010, xx11x10x10, xx11x10011, 1011x1xx1x, 1111x1xx1x, x11101xx1x}}

{xxx01 \ {1xx01, 1x101, x1001}, x0xxx \ {1010x, x00x0, 00x11}}
{00x11 \ {00011, 00111}}
{
   00x11x0x11 \ {
   00x1100x11, 00011x0x11, 00111x0x11}}

{x111x \ {1111x, 0111x}, 10xx0 \ {10010, 10000}}
{11x0x \ {11001, 11x00, 11x01}}
{
   11x0010x00 \ {
   11x0010000, 11x0010x00}}

{xx0x0 \ {1x010, xx010, 0x0x0}, xx0xx \ {0001x, 0000x, 110x1}, 1x1x1 \ {10101, 111x1, 1x111}}
{001xx \ {0011x, 001x0, 0010x}, 00x1x \ {0011x, 0001x, 00010}}
{
   001x0xx0x0 \ {
   00110xx000, 00100xx010, 001x01x010, 001x0xx010, 001x00x0x0, 00110xx0x0, 001x0xx0x0, 00100xx0x0}, 00x10xx010 \ {
   00x101x010, 00x10xx010, 00x100x010, 00110xx010, 00010xx010, 00010xx010}, 001xxxx0xx \ {
   001x1xx0x0, 001x0xx0x1, 0011xxx00x, 0010xxx01x, 001xx0001x, 001xx0000x, 001xx110x1, 0011xxx0xx, 001x0xx0xx, 0010xxx0xx}, 00x1xxx01x \ {
   00x11xx010, 00x10xx011, 00x1x0001x, 00x1x11011, 0011xxx01x, 0001xxx01x, 00010xx01x}, 001x11x1x1 \ {
   001111x101, 001011x111, 001x110101, 001x1111x1, 001x11x111, 001111x1x1, 001011x1x1}, 00x111x111 \ {
   00x1111111, 00x111x111, 001111x111, 000111x111}}

{x01xx \ {00111, x01x1, 001x0}, 1x0xx \ {10000, 110xx, 1x001}}
{1xx1x \ {10111, 1xx10, 11111}}
{
   1xx1xx011x \ {
   1xx11x0110, 1xx10x0111, 1xx1x00111, 1xx1xx0111, 1xx1x00110, 10111x011x, 1xx10x011x, 11111x011x}, 1xx1x1x01x \ {
   1xx111x010, 1xx101x011, 1xx1x1101x, 101111x01x, 1xx101x01x, 111111x01x}}

{1x0xx \ {1x011, 10001, 1000x}}
{}
{}

{10x1x \ {10011, 1011x, 10x11}}
{}
{}

{xx0xx \ {0x00x, 11000, x0011}, 00x1x \ {00x11, 00110, 00111}}
{010xx \ {010x1, 0100x, 01010}}
{
   010xxxx0xx \ {
   010x1xx0x0, 010x0xx0x1, 0101xxx00x, 0100xxx01x, 010xx0x00x, 010xx11000, 010xxx0011, 010x1xx0xx, 0100xxx0xx, 01010xx0xx}, 0101x00x1x \ {
   0101100x10, 0101000x11, 0101x00x11, 0101x00110, 0101x00111, 0101100x1x, 0101000x1x}}

{10xx1 \ {10001, 10x11, 10x01}, 0xx00 \ {01100, 01x00, 01000}}
{0xx01 \ {0x001, 0x101, 00x01}, 1xxx1 \ {10011, 111x1, 11x01}}
{
   0xx0110x01 \ {
   0xx0110001, 0xx0110x01, 0x00110x01, 0x10110x01, 00x0110x01}, 1xxx110xx1 \ {
   1xx1110x01, 1xx0110x11, 1xxx110001, 1xxx110x11, 1xxx110x01, 1001110xx1, 111x110xx1, 11x0110xx1}}

{00xx1 \ {00x11, 001x1, 00101}}
{xxxx1 \ {x1xx1, 10xx1, 11101}, 1xxxx \ {10x0x, 11xx0, 1101x}}
{
   xxxx100xx1 \ {
   xxx1100x01, xxx0100x11, xxxx100x11, xxxx1001x1, xxxx100101, x1xx100xx1, 10xx100xx1, 1110100xx1}, 1xxx100xx1 \ {
   1xx1100x01, 1xx0100x11, 1xxx100x11, 1xxx1001x1, 1xxx100101, 10x0100xx1, 1101100xx1}}

{00x00 \ {00000, 00100, 00100}}
{1x100 \ {11100, 10100}, 0x0x1 \ {00011, 010x1, 00001}, 0xxx1 \ {00001, 00011, 01x01}}
{
   1x10000x00 \ {
   1x10000000, 1x10000100, 1x10000100, 1110000x00, 1010000x00}}

{xx010 \ {10010}}
{x000x \ {10001, 00001, 0000x}}
{}

{11x0x \ {11100, 11x01, 11001}, xx000 \ {x0000, x1000, 10000}}
{xxx0x \ {0xx00, x010x, 0x001}, 001x1 \ {00111, 00101, 00101}}
{
   xxx0x11x0x \ {
   xxx0111x00, xxx0011x01, xxx0x11100, xxx0x11x01, xxx0x11001, 0xx0011x0x, x010x11x0x, 0x00111x0x}, 0010111x01 \ {
   0010111x01, 0010111001, 0010111x01, 0010111x01}, xxx00xx000 \ {
   xxx00x0000, xxx00x1000, xxx0010000, 0xx00xx000, x0100xx000}}

{xxxx1 \ {0x0x1, xx011, 1x011}, 010xx \ {01000, 01010, 010x0}}
{0x1x1 \ {01111, 0x111, 00111}}
{
   0x1x1xxxx1 \ {
   0x111xxx01, 0x101xxx11, 0x1x10x0x1, 0x1x1xx011, 0x1x11x011, 01111xxxx1, 0x111xxxx1, 00111xxxx1}, 0x1x1010x1 \ {
   0x11101001, 0x10101011, 01111010x1, 0x111010x1, 00111010x1}}

{1x010 \ {11010, 10010, 10010}, xx0xx \ {x0011, 10011, 110x1}}
{0011x \ {00110, 00111}}
{
   001101x010 \ {
   0011011010, 0011010010, 0011010010, 001101x010}, 0011xxx01x \ {
   00111xx010, 00110xx011, 0011xx0011, 0011x10011, 0011x11011, 00110xx01x, 00111xx01x}}

{xx0xx \ {0x011, 0000x, 11000}, 001xx \ {0011x, 00101, 00100}, 11xx1 \ {11011, 11x01}}
{01x01 \ {01101}, 1xxx0 \ {10x10, 1x1x0, 1x010}}
{
   01x01xx001 \ {
   01x0100001, 01101xx001}, 1xxx0xx0x0 \ {
   1xx10xx000, 1xx00xx010, 1xxx000000, 1xxx011000, 10x10xx0x0, 1x1x0xx0x0, 1x010xx0x0}, 01x0100101 \ {
   01x0100101, 0110100101}, 1xxx0001x0 \ {
   1xx1000100, 1xx0000110, 1xxx000110, 1xxx000100, 10x10001x0, 1x1x0001x0, 1x010001x0}, 01x0111x01 \ {
   01x0111x01, 0110111x01}}

{1x1xx \ {1x1x1, 1x111, 1011x}}
{0xx1x \ {0011x, 0x01x, 00x11}}
{
   0xx1x1x11x \ {
   0xx111x110, 0xx101x111, 0xx1x1x111, 0xx1x1x111, 0xx1x1011x, 0011x1x11x, 0x01x1x11x, 00x111x11x}}

{x1xx0 \ {11xx0, x1010, 11110}}
{}
{}

{}
{x111x \ {01111, x1110, 11110}}
{}

{x0xx1 \ {00xx1, 00x01, 00x11}, x01x0 \ {101x0, 001x0}}
{x1010 \ {11010}, x0x00 \ {10000, 10x00, 10100}}
{
   x1010x0110 \ {
   x101010110, x101000110, 11010x0110}, x0x00x0100 \ {
   x0x0010100, x0x0000100, 10000x0100, 10x00x0100, 10100x0100}}

{0x00x \ {0100x, 0x001, 00001}, xx0xx \ {01000, 0001x, xx00x}}
{}
{}

{01x1x \ {01110, 0111x, 0101x}}
{x011x \ {x0111, 10110, 0011x}}
{
   x011x01x1x \ {
   x011101x10, x011001x11, x011x01110, x011x0111x, x011x0101x, x011101x1x, 1011001x1x, 0011x01x1x}}

{11xxx \ {11101, 11011, 11x11}}
{0x0xx \ {000x1, 0x00x}, xx1xx \ {11100, 00100, 1010x}, 0x00x \ {0000x, 00000, 00000}}
{
   0x0xx11xxx \ {
   0x0x111xx0, 0x0x011xx1, 0x01x11x0x, 0x00x11x1x, 0x0xx11101, 0x0xx11011, 0x0xx11x11, 000x111xxx, 0x00x11xxx}, xx1xx11xxx \ {
   xx1x111xx0, xx1x011xx1, xx11x11x0x, xx10x11x1x, xx1xx11101, xx1xx11011, xx1xx11x11, 1110011xxx, 0010011xxx, 1010x11xxx}, 0x00x11x0x \ {
   0x00111x00, 0x00011x01, 0x00x11101, 0000x11x0x, 0000011x0x, 0000011x0x}}

{1xx01 \ {10001, 10x01, 1x001}}
{00xxx \ {001x0, 00111, 00x00}}
{
   00x011xx01 \ {
   00x0110001, 00x0110x01, 00x011x001}}

{x0101 \ {10101, 00101}}
{1x010 \ {11010, 10010, 10010}, xx1xx \ {xx110, 1110x, x01xx}, 1xx11 \ {1x111, 1x011, 1x011}}
{
   xx101x0101 \ {
   xx10110101, xx10100101, 11101x0101, x0101x0101}}

{x0110 \ {10110}}
{1xx1x \ {11x11, 1011x, 1111x}, 1xx1x \ {1xx11, 11x10, 1111x}}
{
   1xx10x0110 \ {
   1xx1010110, 10110x0110, 11110x0110}, 1xx10x0110 \ {
   1xx1010110, 11x10x0110, 11110x0110}}

{}
{}
{}

{01x0x \ {01100, 01001, 01000}, 00x0x \ {00001, 00101}}
{xx101 \ {1x101, 00101}}
{
   xx10101x01 \ {
   xx10101001, 1x10101x01, 0010101x01}, xx10100x01 \ {
   xx10100001, xx10100101, 1x10100x01, 0010100x01}}

{111x1 \ {11101, 11111}}
{01x1x \ {0111x, 0101x, 01010}, x1x01 \ {01101}}
{
   01x1111111 \ {
   01x1111111, 0111111111, 0101111111}, x1x0111101 \ {
   x1x0111101, 0110111101}}

{xx110 \ {00110, x1110, 01110}, x10xx \ {01000, 01001, 110x0}}
{1x01x \ {10011, 1001x, 1x011}, xx1x0 \ {1x100, 11100, 001x0}}
{
   1x010xx110 \ {
   1x01000110, 1x010x1110, 1x01001110, 10010xx110}, xx110xx110 \ {
   xx11000110, xx110x1110, xx11001110, 00110xx110}, 1x01xx101x \ {
   1x011x1010, 1x010x1011, 1x01x11010, 10011x101x, 1001xx101x, 1x011x101x}, xx1x0x10x0 \ {
   xx110x1000, xx100x1010, xx1x001000, xx1x0110x0, 1x100x10x0, 11100x10x0, 001x0x10x0}}

{x1x11 \ {x1011, 11011, 01x11}, 1x01x \ {11010, 11011, 10011}}
{xx1x0 \ {11100, 01100, 0x100}}
{
   xx1101x010 \ {
   xx11011010}}

{0000x \ {00000, 00001}}
{1x110 \ {10110}, 000x1 \ {00001, 00011}, x1xx1 \ {11111, 01001, 01x01}}
{
   0000100001 \ {
   0000100001, 0000100001}, x1x0100001 \ {
   x1x0100001, 0100100001, 01x0100001}}

{1xx10 \ {10110, 11010, 10x10}, x1x01 \ {11001, x1101, 01101}}
{x11x1 \ {111x1, 11111, x1101}, 1x11x \ {1x111, 10110}}
{
   1x1101xx10 \ {
   1x11010110, 1x11011010, 1x11010x10, 101101xx10}, x1101x1x01 \ {
   x110111001, x1101x1101, x110101101, 11101x1x01, x1101x1x01}}

{0x000 \ {00000, 01000, 01000}}
{1x010 \ {11010, 10010}, xx111 \ {x1111, 0x111}}
{}

{0x1x1 \ {0x111, 01111, 00101}}
{xx10x \ {01100, 11100, x0100}}
{
   xx1010x101 \ {
   xx10100101}}

{0xxx0 \ {01x10, 0xx00, 000x0}}
{x1xx1 \ {01011, 11x01, 011x1}, 0x101 \ {00101, 01101}, 0xxxx \ {0xx1x, 0x0xx}}
{
   0xxx00xxx0 \ {
   0xx100xx00, 0xx000xx10, 0xxx001x10, 0xxx00xx00, 0xxx0000x0, 0xx100xxx0, 0x0x00xxx0}}

{x011x \ {10111, 10110, x0110}, 1x1xx \ {1x101, 101x1, 11100}}
{0000x \ {00001, 00000}, x0x1x \ {00x11, 1001x, x011x}}
{
   x0x1xx011x \ {
   x0x11x0110, x0x10x0111, x0x1x10111, x0x1x10110, x0x1xx0110, 00x11x011x, 1001xx011x, x011xx011x}, 0000x1x10x \ {
   000011x100, 000001x101, 0000x1x101, 0000x10101, 0000x11100, 000011x10x, 000001x10x}, x0x1x1x11x \ {
   x0x111x110, x0x101x111, x0x1x10111, 00x111x11x, 1001x1x11x, x011x1x11x}}

{1xx00 \ {10x00, 11x00, 10100}}
{x0x10 \ {10010, 10110, 00x10}, 1xx0x \ {1x000, 11000, 1x100}, xx101 \ {11101, 1x101}}
{
   1xx001xx00 \ {
   1xx0010x00, 1xx0011x00, 1xx0010100, 1x0001xx00, 110001xx00, 1x1001xx00}}

{x00xx \ {10011, x0010, 1001x}, x10x1 \ {01001, x1001, 110x1}, 01xx1 \ {01111, 010x1, 01101}}
{x0xxx \ {x0010, x01xx, 00100}, xxxx0 \ {00000, xxx00, 01x10}, 0x110 \ {01110, 00110}}
{
   x0xxxx00xx \ {
   x0xx1x00x0, x0xx0x00x1, x0x1xx000x, x0x0xx001x, x0xxx10011, x0xxxx0010, x0xxx1001x, x0010x00xx, x01xxx00xx, 00100x00xx}, xxxx0x00x0 \ {
   xxx10x0000, xxx00x0010, xxxx0x0010, xxxx010010, 00000x00x0, xxx00x00x0, 01x10x00x0}, 0x110x0010 \ {
   0x110x0010, 0x11010010, 01110x0010, 00110x0010}, x0xx1x10x1 \ {
   x0x11x1001, x0x01x1011, x0xx101001, x0xx1x1001, x0xx1110x1, x01x1x10x1}, x0xx101xx1 \ {
   x0x1101x01, x0x0101x11, x0xx101111, x0xx1010x1, x0xx101101, x01x101xx1}}

{x110x \ {1110x, 01101, 01101}}
{xx10x \ {1x100, xx101, x1101}}
{
   xx10xx110x \ {
   xx101x1100, xx100x1101, xx10x1110x, xx10x01101, xx10x01101, 1x100x110x, xx101x110x, x1101x110x}}

{xx010 \ {x0010, x1010, 00010}}
{1xxx1 \ {11101, 11xx1, 101x1}, 1xx01 \ {10x01, 11x01, 11101}}
{}

{1x0x1 \ {1x011, 1x001, 1x001}, 1x1xx \ {1110x, 1x111, 1x101}, 001xx \ {00111, 001x0}}
{x001x \ {10010, 0001x}, 1x110 \ {10110}}
{
   x00111x011 \ {
   x00111x011, 000111x011}, x001x1x11x \ {
   x00111x110, x00101x111, x001x1x111, 100101x11x, 0001x1x11x}, 1x1101x110 \ {
   101101x110}, x001x0011x \ {
   x001100110, x001000111, x001x00111, x001x00110, 100100011x, 0001x0011x}, 1x11000110 \ {
   1x11000110, 1011000110}}

{1001x \ {10010, 10011}, x0x0x \ {0000x, 00x0x}, x0000 \ {10000, 00000}}
{0x100 \ {01100}}
{
   0x100x0x00 \ {
   0x10000000, 0x10000x00, 01100x0x00}, 0x100x0000 \ {
   0x10010000, 0x10000000, 01100x0000}}

{xx0x1 \ {1x001, xx001, 01001}}
{0x111 \ {01111, 00111, 00111}}
{
   0x111xx011 \ {
   01111xx011, 00111xx011, 00111xx011}}

{}
{100xx \ {1001x, 1000x, 100x0}}
{}

{x0x1x \ {0001x, 00x10, 10011}, 1x0xx \ {110xx, 110x0, 1000x}}
{011xx \ {01110, 0111x, 01101}, xx1x1 \ {xx111, 00101, 01101}}
{
   0111xx0x1x \ {
   01111x0x10, 01110x0x11, 0111x0001x, 0111x00x10, 0111x10011, 01110x0x1x, 0111xx0x1x}, xx111x0x11 \ {
   xx11100011, xx11110011, xx111x0x11}, 011xx1x0xx \ {
   011x11x0x0, 011x01x0x1, 0111x1x00x, 0110x1x01x, 011xx110xx, 011xx110x0, 011xx1000x, 011101x0xx, 0111x1x0xx, 011011x0xx}, xx1x11x0x1 \ {
   xx1111x001, xx1011x011, xx1x1110x1, xx1x110001, xx1111x0x1, 001011x0x1, 011011x0x1}}

{x1x1x \ {x1x10, 11x10, x1010}, 0x11x \ {00111, 01110}}
{}
{}

{01x1x \ {01x11, 01110, 01x10}, xxxx0 \ {0x0x0, 01xx0, x00x0}}
{x000x \ {10000, 00000}, 1x100 \ {10100}}
{
   x0000xxx00 \ {
   x00000x000, x000001x00, x0000x0000, 10000xxx00, 00000xxx00}, 1x100xxx00 \ {
   1x1000x000, 1x10001x00, 1x100x0000, 10100xxx00}}

{xxx0x \ {0x000, 00001, 00x00}, 0xx11 \ {00x11, 00011, 0x011}}
{x1x11 \ {01x11, x1111}, 0x011 \ {00011}}
{
   x1x110xx11 \ {
   x1x1100x11, x1x1100011, x1x110x011, 01x110xx11, x11110xx11}, 0x0110xx11 \ {
   0x01100x11, 0x01100011, 0x0110x011, 000110xx11}}

{x0x00 \ {x0000, 00000, 00100}, x10xx \ {x10x0, 010x1, 01010}}
{xx101 \ {0x101, 11101, 01101}}
{
   xx101x1001 \ {
   xx10101001, 0x101x1001, 11101x1001, 01101x1001}}

{xxx00 \ {xx000, 10000, x0x00}, x0x01 \ {10001, x0001}, 0x1xx \ {01110, 001x1, 01111}}
{1xx11 \ {10011, 11111, 11011}, 00x11 \ {00011}}
{
   1xx110x111 \ {
   1xx1100111, 1xx1101111, 100110x111, 111110x111, 110110x111}, 00x110x111 \ {
   00x1100111, 00x1101111, 000110x111}}

{x1100 \ {11100, 01100}}
{0x0xx \ {00011, 01000}}
{
   0x000x1100 \ {
   0x00011100, 0x00001100, 01000x1100}}

{x0x10 \ {00x10, x0110, x0010}, x1x10 \ {11110, 01010, 01x10}}
{001x1 \ {00111}, 001xx \ {0010x, 00100, 0011x}, x1x0x \ {11000, 11100, 01101}}
{
   00110x0x10 \ {
   0011000x10, 00110x0110, 00110x0010, 00110x0x10}, 00110x1x10 \ {
   0011011110, 0011001010, 0011001x10, 00110x1x10}}

{x1xx0 \ {01xx0, 11100, x1110}, x100x \ {01001, 1100x, x1000}}
{xx010 \ {1x010, x0010}, xx1xx \ {x01x0, 011x0, x11xx}}
{
   xx010x1x10 \ {
   xx01001x10, xx010x1110, 1x010x1x10, x0010x1x10}, xx1x0x1xx0 \ {
   xx110x1x00, xx100x1x10, xx1x001xx0, xx1x011100, xx1x0x1110, x01x0x1xx0, 011x0x1xx0, x11x0x1xx0}, xx10xx100x \ {
   xx101x1000, xx100x1001, xx10x01001, xx10x1100x, xx10xx1000, x0100x100x, 01100x100x, x110xx100x}}

{0xxx0 \ {0x110, 00010, 01xx0}}
{x110x \ {11101, 11100, x1100}, x1x01 \ {11x01, 11001, x1001}}
{
   x11000xx00 \ {
   x110001x00, 111000xx00, x11000xx00}}

{00x00 \ {00100, 00000, 00000}, 00xx1 \ {00x01, 00111, 00101}}
{x111x \ {x1110, 11110, 01110}, x1001 \ {11001, 01001, 01001}, 1x100 \ {10100, 11100, 11100}}
{
   1x10000x00 \ {
   1x10000100, 1x10000000, 1x10000000, 1010000x00, 1110000x00, 1110000x00}, x111100x11 \ {
   x111100111}, x100100x01 \ {
   x100100x01, x100100101, 1100100x01, 0100100x01, 0100100x01}}

{}
{1xx1x \ {11011, 11x1x, 10010}, x00xx \ {10001, 10010, 00011}, 0x0x0 \ {000x0, 010x0}}
{}

{0x1x0 \ {0x110, 001x0, 01100}, x1000 \ {11000, 01000}, x1x0x \ {11101, 01x00, x110x}}
{xx0x0 \ {x1000, 1x000, 11010}, 1xx10 \ {11110, 1x110, 10x10}, x1x01 \ {11001, 01001, 01x01}}
{
   xx0x00x1x0 \ {
   xx0100x100, xx0000x110, xx0x00x110, xx0x0001x0, xx0x001100, x10000x1x0, 1x0000x1x0, 110100x1x0}, 1xx100x110 \ {
   1xx100x110, 1xx1000110, 111100x110, 1x1100x110, 10x100x110}, xx000x1000 \ {
   xx00011000, xx00001000, x1000x1000, 1x000x1000}, xx000x1x00 \ {
   xx00001x00, xx000x1100, x1000x1x00, 1x000x1x00}, x1x01x1x01 \ {
   x1x0111101, x1x01x1101, 11001x1x01, 01001x1x01, 01x01x1x01}}

{x1010 \ {11010}, xx111 \ {00111, 1x111, 10111}}
{x00xx \ {00000, 000x0, 0001x}, xx010 \ {00010, 0x010, x0010}}
{
   x0010x1010 \ {
   x001011010, 00010x1010, 00010x1010}, xx010x1010 \ {
   xx01011010, 00010x1010, 0x010x1010, x0010x1010}, x0011xx111 \ {
   x001100111, x00111x111, x001110111, 00011xx111}}

{1x1x0 \ {101x0, 10110, 1x100}}
{xx0x0 \ {1x000, x00x0, 01000}}
{
   xx0x01x1x0 \ {
   xx0101x100, xx0001x110, xx0x0101x0, xx0x010110, xx0x01x100, 1x0001x1x0, x00x01x1x0, 010001x1x0}}

{}
{xx111 \ {10111, x1111, 0x111}, xx001 \ {00001, 01001, x1001}}
{}

{11x1x \ {11x10, 11011, 11110}, 11xxx \ {110x1, 1110x, 11x1x}}
{xx10x \ {1x100, 0010x, 1x101}, x1xx0 \ {11xx0, 11x10, x10x0}}
{
   x1x1011x10 \ {
   x1x1011x10, x1x1011110, 11x1011x10, 11x1011x10, x101011x10}, xx10x11x0x \ {
   xx10111x00, xx10011x01, xx10x11001, xx10x1110x, 1x10011x0x, 0010x11x0x, 1x10111x0x}, x1xx011xx0 \ {
   x1x1011x00, x1x0011x10, x1xx011100, x1xx011x10, 11xx011xx0, 11x1011xx0, x10x011xx0}}

{101xx \ {101x1, 10100, 101x0}, 0x101 \ {00101, 01101}}
{x01xx \ {101x1, 1010x, 00110}, 110x1 \ {11001}}
{
   x01xx101xx \ {
   x01x1101x0, x01x0101x1, x011x1010x, x010x1011x, x01xx101x1, x01xx10100, x01xx101x0, 101x1101xx, 1010x101xx, 00110101xx}, 110x1101x1 \ {
   1101110101, 1100110111, 110x1101x1, 11001101x1}, x01010x101 \ {
   x010100101, x010101101, 101010x101, 101010x101}, 110010x101 \ {
   1100100101, 1100101101, 110010x101}}

{x1xxx \ {0111x, 11x01, 01x10}, 0100x \ {01001, 01000}}
{x10xx \ {010x1, x1011, 01001}, 11xxx \ {11010, 1101x, 110x0}}
{
   x10xxx1xxx \ {
   x10x1x1xx0, x10x0x1xx1, x101xx1x0x, x100xx1x1x, x10xx0111x, x10xx11x01, x10xx01x10, 010x1x1xxx, x1011x1xxx, 01001x1xxx}, 11xxxx1xxx \ {
   11xx1x1xx0, 11xx0x1xx1, 11x1xx1x0x, 11x0xx1x1x, 11xxx0111x, 11xxx11x01, 11xxx01x10, 11010x1xxx, 1101xx1xxx, 110x0x1xxx}, x100x0100x \ {
   x100101000, x100001001, x100x01001, x100x01000, 010010100x, 010010100x}, 11x0x0100x \ {
   11x0101000, 11x0001001, 11x0x01001, 11x0x01000, 110000100x}}

{x010x \ {10100, 00100, 1010x}, x1010 \ {11010, 01010, 01010}, xxx11 \ {11011, 0x011, 01x11}}
{1x11x \ {1x111, 10110}, x1101 \ {01101, 11101}, 0x1xx \ {001x0, 0x100, 00100}}
{
   x1101x0101 \ {
   x110110101, 01101x0101, 11101x0101}, 0x10xx010x \ {
   0x101x0100, 0x100x0101, 0x10x10100, 0x10x00100, 0x10x1010x, 00100x010x, 0x100x010x, 00100x010x}, 1x110x1010 \ {
   1x11011010, 1x11001010, 1x11001010, 10110x1010}, 0x110x1010 \ {
   0x11011010, 0x11001010, 0x11001010, 00110x1010}, 1x111xxx11 \ {
   1x11111011, 1x1110x011, 1x11101x11, 1x111xxx11}, 0x111xxx11 \ {
   0x11111011, 0x1110x011, 0x11101x11}}

{xx1x1 \ {01111, 111x1, 11101}}
{0001x \ {00011, 00010}, 1x1x0 \ {10100, 11110, 10110}, x0101 \ {00101}}
{
   00011xx111 \ {
   0001101111, 0001111111, 00011xx111}, x0101xx101 \ {
   x010111101, x010111101, 00101xx101}}

{}
{xxx0x \ {11101, x0x01, 00x01}, 1x011 \ {11011, 10011}}
{}

{0xx01 \ {01101, 00x01}}
{x001x \ {10010, x0010, 10011}, 1110x \ {11100, 11101}}
{
   111010xx01 \ {
   1110101101, 1110100x01, 111010xx01}}

{xx0x0 \ {x1000, 1x0x0, x10x0}, xxxx0 \ {11010, 0xx00, 01000}}
{1xxx0 \ {1x100, 11100, 11110}, 0x00x \ {01001, 01000}, 10x10 \ {10110, 10010, 10010}}
{
   1xxx0xx0x0 \ {
   1xx10xx000, 1xx00xx010, 1xxx0x1000, 1xxx01x0x0, 1xxx0x10x0, 1x100xx0x0, 11100xx0x0, 11110xx0x0}, 0x000xx000 \ {
   0x000x1000, 0x0001x000, 0x000x1000, 01000xx000}, 10x10xx010 \ {
   10x101x010, 10x10x1010, 10110xx010, 10010xx010, 10010xx010}, 1xxx0xxxx0 \ {
   1xx10xxx00, 1xx00xxx10, 1xxx011010, 1xxx00xx00, 1xxx001000, 1x100xxxx0, 11100xxxx0, 11110xxxx0}, 0x000xxx00 \ {
   0x0000xx00, 0x00001000, 01000xxx00}, 10x10xxx10 \ {
   10x1011010, 10110xxx10, 10010xxx10, 10010xxx10}}

{x101x \ {11011, x1010, 0101x}, 1xxx1 \ {10001, 10011, 11x01}}
{1xx0x \ {10000, 1xx01, 10001}}
{
   1xx011xx01 \ {
   1xx0110001, 1xx0111x01, 1xx011xx01, 100011xx01}}

{xxxx1 \ {0x111, 111x1, x0001}, 0x110 \ {01110, 00110}, xx001 \ {10001, x0001, 11001}}
{}
{}

{xx101 \ {x1101}, 1x0xx \ {10001, 1000x, 11000}}
{111xx \ {11101, 1110x, 11100}}
{
   11101xx101 \ {
   11101x1101, 11101xx101, 11101xx101}, 111xx1x0xx \ {
   111x11x0x0, 111x01x0x1, 1111x1x00x, 1110x1x01x, 111xx10001, 111xx1000x, 111xx11000, 111011x0xx, 1110x1x0xx, 111001x0xx}}

{x0x00 \ {10x00, x0100, 00000}, 1x0x1 \ {1x001, 11011, 100x1}, x0xxx \ {x00xx, 10x1x, 00xx0}}
{}
{}

{xxx00 \ {x1100, 0x100, xx100}, x10xx \ {010xx, 110x1, 110xx}}
{0xxxx \ {00x0x, 01x01}, 10xx1 \ {10111, 10x11, 10x01}, 01x0x \ {01100, 0100x, 01101}}
{
   0xx00xxx00 \ {
   0xx00x1100, 0xx000x100, 0xx00xx100, 00x00xxx00}, 01x00xxx00 \ {
   01x00x1100, 01x000x100, 01x00xx100, 01100xxx00, 01000xxx00}, 0xxxxx10xx \ {
   0xxx1x10x0, 0xxx0x10x1, 0xx1xx100x, 0xx0xx101x, 0xxxx010xx, 0xxxx110x1, 0xxxx110xx, 00x0xx10xx, 01x01x10xx}, 10xx1x10x1 \ {
   10x11x1001, 10x01x1011, 10xx1010x1, 10xx1110x1, 10xx1110x1, 10111x10x1, 10x11x10x1, 10x01x10x1}, 01x0xx100x \ {
   01x01x1000, 01x00x1001, 01x0x0100x, 01x0x11001, 01x0x1100x, 01100x100x, 0100xx100x, 01101x100x}}

{1x0x0 \ {100x0, 11010, 10010}}
{xx11x \ {x1111, x111x, xx111}, 100xx \ {1000x, 10001, 10010}}
{
   xx1101x010 \ {
   xx11010010, xx11011010, xx11010010, x11101x010}, 100x01x0x0 \ {
   100101x000, 100001x010, 100x0100x0, 100x011010, 100x010010, 100001x0x0, 100101x0x0}}

{x10x0 \ {x1000, 11010, 11000}, 10xx0 \ {100x0, 10x10, 10110}, 101x0 \ {10100, 10110, 10110}}
{x0x00 \ {00x00, x0000, 10100}}
{
   x0x00x1000 \ {
   x0x00x1000, x0x0011000, 00x00x1000, x0000x1000, 10100x1000}, x0x0010x00 \ {
   x0x0010000, 00x0010x00, x000010x00, 1010010x00}, x0x0010100 \ {
   x0x0010100, 00x0010100, x000010100, 1010010100}}

{0101x \ {01010, 01011, 01011}, xxxx1 \ {01001, 00011, x1011}}
{0x00x \ {00001, 00000, 00000}}
{
   0x001xxx01 \ {
   0x00101001, 00001xxx01}}

{x1011 \ {11011, 01011}, x001x \ {00010, 10011, 0001x}}
{0x001 \ {00001}}
{}

{x0xx1 \ {10x11, 10111, x00x1}, 11x0x \ {11x00, 1110x, 11101}, xx100 \ {01100, x0100, x0100}}
{}
{}

{0x1x0 \ {00100, 0x100, 0x100}}
{x0x10 \ {10x10, 00x10, 00x10}, 0000x \ {00001, 00000}, 1xx0x \ {10x00, 1110x, 1100x}}
{
   x0x100x110 \ {
   10x100x110, 00x100x110, 00x100x110}, 000000x100 \ {
   0000000100, 000000x100, 000000x100, 000000x100}, 1xx000x100 \ {
   1xx0000100, 1xx000x100, 1xx000x100, 10x000x100, 111000x100, 110000x100}}

{x1xxx \ {01xx1, 11x01, x101x}, x01xx \ {x0100, 101xx, 0011x}}
{0x001 \ {01001, 00001}, 011xx \ {011x1, 01100}}
{
   0x001x1x01 \ {
   0x00101x01, 0x00111x01, 01001x1x01, 00001x1x01}, 011xxx1xxx \ {
   011x1x1xx0, 011x0x1xx1, 0111xx1x0x, 0110xx1x1x, 011xx01xx1, 011xx11x01, 011xxx101x, 011x1x1xxx, 01100x1xxx}, 0x001x0101 \ {
   0x00110101, 01001x0101, 00001x0101}, 011xxx01xx \ {
   011x1x01x0, 011x0x01x1, 0111xx010x, 0110xx011x, 011xxx0100, 011xx101xx, 011xx0011x, 011x1x01xx, 01100x01xx}}

{1xxxx \ {1011x, 110x0, 1010x}, xx101 \ {00101, x0101, 11101}}
{1111x \ {11111, 11110}, xx000 \ {x0000, 11000, 01000}}
{
   1111x1xx1x \ {
   111111xx10, 111101xx11, 1111x1011x, 1111x11010, 111111xx1x, 111101xx1x}, xx0001xx00 \ {
   xx00011000, xx00010100, x00001xx00, 110001xx00, 010001xx00}}

{x1x00 \ {x1100, 11100, 01100}, xx0x0 \ {1x000, xx000, x0010}}
{xx01x \ {00011, 00010, x0010}}
{
   xx010xx010 \ {
   xx010x0010, 00010xx010, x0010xx010}}

{11xxx \ {1100x, 11x0x, 11x01}}
{}
{}

{xx111 \ {10111, 11111, 01111}, 1xxx0 \ {10x00, 100x0, 11000}}
{x10x0 \ {x1010, 11010, 01000}, 10xx1 \ {100x1, 10001}}
{
   10x11xx111 \ {
   10x1110111, 10x1111111, 10x1101111, 10011xx111}, x10x01xxx0 \ {
   x10101xx00, x10001xx10, x10x010x00, x10x0100x0, x10x011000, x10101xxx0, 110101xxx0, 010001xxx0}}

{x11x0 \ {01110, 11110, 11100}, x1xx1 \ {01001, x1x11, x1001}}
{10x1x \ {1011x, 10x10, 10110}, x11xx \ {x110x, 111xx, 011xx}}
{
   10x10x1110 \ {
   10x1001110, 10x1011110, 10110x1110, 10x10x1110, 10110x1110}, x11x0x11x0 \ {
   x1110x1100, x1100x1110, x11x001110, x11x011110, x11x011100, x1100x11x0, 111x0x11x0, 011x0x11x0}, 10x11x1x11 \ {
   10x11x1x11, 10111x1x11}, x11x1x1xx1 \ {
   x1111x1x01, x1101x1x11, x11x101001, x11x1x1x11, x11x1x1001, x1101x1xx1, 111x1x1xx1, 011x1x1xx1}}

{xx110 \ {00110, x0110, 1x110}, 1x01x \ {1x010, 10011}}
{00x0x \ {0000x, 00001, 00x01}}
{}

{xx1x1 \ {x1111, 10111, x0101}, 100x0 \ {10000, 10010}}
{x1x1x \ {01x10, x1010, x111x}, 1x00x \ {1000x, 1x001, 10001}, 0x00x \ {0x001, 0100x, 00001}}
{
   x1x11xx111 \ {
   x1x11x1111, x1x1110111, x1111xx111}, 1x001xx101 \ {
   1x001x0101, 10001xx101, 1x001xx101, 10001xx101}, 0x001xx101 \ {
   0x001x0101, 0x001xx101, 01001xx101, 00001xx101}, x1x1010010 \ {
   x1x1010010, 01x1010010, x101010010, x111010010}, 1x00010000 \ {
   1x00010000, 1000010000}, 0x00010000 \ {
   0x00010000, 0100010000}}

{x10x1 \ {01001, x1011, 11011}, 01x11 \ {01011, 01111}}
{xx100 \ {x1100, 11100}, xx00x \ {0100x, 00000, 1x000}}
{
   xx001x1001 \ {
   xx00101001, 01001x1001}}

{x0x11 \ {x0111, 10111, 00x11}}
{xx1xx \ {011x0, 001x0, 1111x}, xxxx1 \ {0x111, 110x1, x10x1}}
{
   xx111x0x11 \ {
   xx111x0111, xx11110111, xx11100x11, 11111x0x11}, xxx11x0x11 \ {
   xxx11x0111, xxx1110111, xxx1100x11, 0x111x0x11, 11011x0x11, x1011x0x11}}

{xxxx0 \ {01100, xx010, 1x010}}
{}
{}

{}
{1x1x0 \ {11110, 111x0, 111x0}, 01xxx \ {01x1x, 01xx1, 011x0}}
{}

{110x0 \ {11000}, x0100 \ {00100}}
{}
{}

{x1x0x \ {01101, 11101, x1101}}
{xxxxx \ {1xx11, 011x1, 01xx0}, 01x01 \ {01001}, x011x \ {10111, x0110, 00111}}
{
   xxx0xx1x0x \ {
   xxx01x1x00, xxx00x1x01, xxx0x01101, xxx0x11101, xxx0xx1101, 01101x1x0x, 01x00x1x0x}, 01x01x1x01 \ {
   01x0101101, 01x0111101, 01x01x1101, 01001x1x01}}

{xx0xx \ {x1010, xx00x, 1x011}}
{01x0x \ {01000, 01001, 01x00}}
{
   01x0xxx00x \ {
   01x01xx000, 01x00xx001, 01x0xxx00x, 01000xx00x, 01001xx00x, 01x00xx00x}}

{1x0xx \ {1101x, 1x010, 11011}}
{010xx \ {0101x, 01000, 010x0}, 101x1 \ {10111, 10101}}
{
   010xx1x0xx \ {
   010x11x0x0, 010x01x0x1, 0101x1x00x, 0100x1x01x, 010xx1101x, 010xx1x010, 010xx11011, 0101x1x0xx, 010001x0xx, 010x01x0xx}, 101x11x0x1 \ {
   101111x001, 101011x011, 101x111011, 101x111011, 101111x0x1, 101011x0x1}}

{10x01 \ {10101, 10001}, xx011 \ {01011, 10011}, xx0x1 \ {1x0x1, xx001, x1001}}
{0xx00 \ {01100, 01x00, 0x000}, 0x10x \ {00101, 0010x, 01100}}
{
   0x10110x01 \ {
   0x10110101, 0x10110001, 0010110x01, 0010110x01}, 0x101xx001 \ {
   0x1011x001, 0x101xx001, 0x101x1001, 00101xx001, 00101xx001}}

{0xx11 \ {00011, 0x011, 0x011}, 11x1x \ {11010, 1111x, 11110}, x0x1x \ {10111, x0011, x001x}}
{0xx11 \ {01x11, 00011, 00111}, 1x00x \ {1x000, 1x001, 10001}}
{
   0xx110xx11 \ {
   0xx1100011, 0xx110x011, 0xx110x011, 01x110xx11, 000110xx11, 001110xx11}, 0xx1111x11 \ {
   0xx1111111, 01x1111x11, 0001111x11, 0011111x11}, 0xx11x0x11 \ {
   0xx1110111, 0xx11x0011, 0xx11x0011, 01x11x0x11, 00011x0x11, 00111x0x11}}

{x001x \ {0001x, x0010, 10010}, 1xxxx \ {1x11x, 11111, 110xx}}
{x1x11 \ {x1111, 11011, 11x11}, xxxx1 \ {001x1, x0001, x1x01}}
{
   x1x11x0011 \ {
   x1x1100011, x1111x0011, 11011x0011, 11x11x0011}, xxx11x0011 \ {
   xxx1100011, 00111x0011}, x1x111xx11 \ {
   x1x111x111, x1x1111111, x1x1111011, x11111xx11, 110111xx11, 11x111xx11}, xxxx11xxx1 \ {
   xxx111xx01, xxx011xx11, xxxx11x111, xxxx111111, xxxx1110x1, 001x11xxx1, x00011xxx1, x1x011xxx1}}

{xx1xx \ {111xx, 10111, 0111x}, xxxx1 \ {01001, 10x01, 00x01}}
{}
{}

{0x01x \ {00011, 0001x, 0101x}, x011x \ {0011x, 10111}, x11x0 \ {011x0, 11110, 11100}}
{110x0 \ {11010, 11000}, 10xx1 \ {101x1, 10011}}
{
   110100x010 \ {
   1101000010, 1101001010, 110100x010}, 10x110x011 \ {
   10x1100011, 10x1100011, 10x1101011, 101110x011, 100110x011}, 11010x0110 \ {
   1101000110, 11010x0110}, 10x11x0111 \ {
   10x1100111, 10x1110111, 10111x0111, 10011x0111}, 110x0x11x0 \ {
   11010x1100, 11000x1110, 110x0011x0, 110x011110, 110x011100, 11010x11x0, 11000x11x0}}

{11x10 \ {11110, 11010}, x1x1x \ {11111, 01x1x, 01111}}
{000xx \ {00010, 0001x, 000x0}}
{
   0001011x10 \ {
   0001011110, 0001011010, 0001011x10, 0001011x10, 0001011x10}, 0001xx1x1x \ {
   00011x1x10, 00010x1x11, 0001x11111, 0001x01x1x, 0001x01111, 00010x1x1x, 0001xx1x1x, 00010x1x1x}}

{}
{x1x1x \ {01011, 1101x, 01111}, xx10x \ {11100, 1110x, x0101}}
{}

{x1010 \ {11010}, x110x \ {11100, x1100, 11101}}
{x001x \ {10011, 0001x, 00010}, x10x1 \ {11001, 110x1, 11011}}
{
   x0010x1010 \ {
   x001011010, 00010x1010, 00010x1010}, x1001x1101 \ {
   x100111101, 11001x1101, 11001x1101}}

{xxx0x \ {1100x, 0x10x, 0xx01}}
{111x0 \ {11100, 11110}}
{
   11100xxx00 \ {
   1110011000, 111000x100, 11100xxx00}}

{011xx \ {0111x, 0110x, 01110}, xxx10 \ {1x110, x1010, 01110}, 0x0x0 \ {00010, 01010}}
{x1100 \ {01100}, x1xxx \ {01100, 11x1x, x1xx1}}
{
   x110001100 \ {
   x110001100, 0110001100}, x1xxx011xx \ {
   x1xx1011x0, x1xx0011x1, x1x1x0110x, x1x0x0111x, x1xxx0111x, x1xxx0110x, x1xxx01110, 01100011xx, 11x1x011xx, x1xx1011xx}, x1x10xxx10 \ {
   x1x101x110, x1x10x1010, x1x1001110, 11x10xxx10}, x11000x000 \ {
   011000x000}, x1xx00x0x0 \ {
   x1x100x000, x1x000x010, x1xx000010, x1xx001010, 011000x0x0, 11x100x0x0}}

{01xxx \ {0110x, 01x0x, 01111}}
{0x1x0 \ {01100, 0x100, 001x0}, 0x0x0 \ {00000, 000x0}, 1xx11 \ {10x11, 1x111, 10011}}
{
   0x1x001xx0 \ {
   0x11001x00, 0x10001x10, 0x1x001100, 0x1x001x00, 0110001xx0, 0x10001xx0, 001x001xx0}, 0x0x001xx0 \ {
   0x01001x00, 0x00001x10, 0x0x001100, 0x0x001x00, 0000001xx0, 000x001xx0}, 1xx1101x11 \ {
   1xx1101111, 10x1101x11, 1x11101x11, 1001101x11}}

{x101x \ {01011, 1101x, 0101x}, x0xx1 \ {00101, 000x1, 10x01}}
{1xx0x \ {10100, 1x100, 1000x}}
{
   1xx01x0x01 \ {
   1xx0100101, 1xx0100001, 1xx0110x01, 10001x0x01}}

{x111x \ {0111x, 11110, 01111}, x0xx1 \ {x00x1, x0x01, 10001}, x0100 \ {00100, 10100}}
{x01xx \ {x011x, x0110, 10100}, 0001x \ {00010, 00011}}
{
   x011xx111x \ {
   x0111x1110, x0110x1111, x011x0111x, x011x11110, x011x01111, x011xx111x, x0110x111x}, 0001xx111x \ {
   00011x1110, 00010x1111, 0001x0111x, 0001x11110, 0001x01111, 00010x111x, 00011x111x}, x01x1x0xx1 \ {
   x0111x0x01, x0101x0x11, x01x1x00x1, x01x1x0x01, x01x110001, x0111x0xx1}, 00011x0x11 \ {
   00011x0011, 00011x0x11}, x0100x0100 \ {
   x010000100, x010010100, 10100x0100}}

{x0xx0 \ {100x0, 00x10, 00x10}}
{xxxx1 \ {x0xx1, x1001, 011x1}, x1100 \ {11100, 01100}, x0000 \ {00000}}
{
   x1100x0x00 \ {
   x110010000, 11100x0x00, 01100x0x00}, x0000x0x00 \ {
   x000010000, 00000x0x00}}

{1xx0x \ {10101, 11101, 1x10x}, x11xx \ {11111, 0110x, 111x0}, 0x10x \ {0x101, 00100, 00100}}
{000xx \ {0000x, 00001, 00011}, x00x1 \ {00011, 000x1, x0001}}
{
   0000x1xx0x \ {
   000011xx00, 000001xx01, 0000x10101, 0000x11101, 0000x1x10x, 0000x1xx0x, 000011xx0x}, x00011xx01 \ {
   x000110101, x000111101, x00011x101, 000011xx01, x00011xx01}, 000xxx11xx \ {
   000x1x11x0, 000x0x11x1, 0001xx110x, 0000xx111x, 000xx11111, 000xx0110x, 000xx111x0, 0000xx11xx, 00001x11xx, 00011x11xx}, x00x1x11x1 \ {
   x0011x1101, x0001x1111, x00x111111, x00x101101, 00011x11x1, 000x1x11x1, x0001x11x1}, 0000x0x10x \ {
   000010x100, 000000x101, 0000x0x101, 0000x00100, 0000x00100, 0000x0x10x, 000010x10x}, x00010x101 \ {
   x00010x101, 000010x101, x00010x101}}

{1x1xx \ {1010x, 1x110, 10100}, x11x1 \ {01101, x1101, 011x1}}
{00xx1 \ {00101, 00001, 00x11}}
{
   00xx11x1x1 \ {
   00x111x101, 00x011x111, 00xx110101, 001011x1x1, 000011x1x1, 00x111x1x1}, 00xx1x11x1 \ {
   00x11x1101, 00x01x1111, 00xx101101, 00xx1x1101, 00xx1011x1, 00101x11x1, 00001x11x1, 00x11x11x1}}

{0xx0x \ {00101, 0x101, 0xx00}}
{xxx1x \ {x1111, 00011}}
{}

{xx0x0 \ {10000, 1x010, 1x0x0}}
{x0x00 \ {10x00, x0000, 10000}}
{
   x0x00xx000 \ {
   x0x0010000, x0x001x000, 10x00xx000, x0000xx000, 10000xx000}}

{01x0x \ {0110x, 01000, 01101}}
{x011x \ {00110, 10111, 1011x}, xx1x1 \ {001x1, xx111, x01x1}}
{
   xx10101x01 \ {
   xx10101101, xx10101101, 0010101x01, x010101x01}}

{}
{x0xx1 \ {10101, 00011, 00xx1}, 0xx1x \ {0001x, 0xx10, 0x110}}
{}

{01xx1 \ {01001, 01111, 01011}}
{x00x1 \ {x0011, 00001, 000x1}, 0x1x1 \ {0x101, 01101}}
{
   x00x101xx1 \ {
   x001101x01, x000101x11, x00x101001, x00x101111, x00x101011, x001101xx1, 0000101xx1, 000x101xx1}, 0x1x101xx1 \ {
   0x11101x01, 0x10101x11, 0x1x101001, 0x1x101111, 0x1x101011, 0x10101xx1, 0110101xx1}}

{x0xx1 \ {10001, 10101, 101x1}, 000xx \ {00001, 00000}}
{x1x1x \ {11111, 01x1x, 01x1x}, x00xx \ {1001x, x0010, x0010}, 1xx01 \ {1x001, 10101}}
{
   x1x11x0x11 \ {
   x1x1110111, 11111x0x11, 01x11x0x11, 01x11x0x11}, x00x1x0xx1 \ {
   x0011x0x01, x0001x0x11, x00x110001, x00x110101, x00x1101x1, 10011x0xx1}, 1xx01x0x01 \ {
   1xx0110001, 1xx0110101, 1xx0110101, 1x001x0x01, 10101x0x01}, x1x1x0001x \ {
   x1x1100010, x1x1000011, 111110001x, 01x1x0001x, 01x1x0001x}, x00xx000xx \ {
   x00x1000x0, x00x0000x1, x001x0000x, x000x0001x, x00xx00001, x00xx00000, 1001x000xx, x0010000xx, x0010000xx}, 1xx0100001 \ {
   1xx0100001, 1x00100001, 1010100001}}

{1xxx1 \ {1x1x1, 11011}, x1xx0 \ {01x10, 11100, 111x0}}
{0x101 \ {00101}}
{
   0x1011xx01 \ {
   0x1011x101, 001011xx01}}

{1010x \ {10101, 10100, 10100}, x0x01 \ {10101, 00x01}}
{xxxxx \ {001x0, 11100, 1xx10}, xx0x1 \ {1x001, 01011, 00011}}
{
   xxx0x1010x \ {
   xxx0110100, xxx0010101, xxx0x10101, xxx0x10100, xxx0x10100, 001001010x, 111001010x}, xx00110101 \ {
   xx00110101, 1x00110101}, xxx01x0x01 \ {
   xxx0110101, xxx0100x01}, xx001x0x01 \ {
   xx00110101, xx00100x01, 1x001x0x01}}

{1xx00 \ {10100, 1x000, 11100}, 11xxx \ {11x11, 111x0, 11100}}
{xx011 \ {00011, 01011, x0011}, xx1x1 \ {x11x1, 10111, 11101}}
{
   xx01111x11 \ {
   xx01111x11, 0001111x11, 0101111x11, x001111x11}, xx1x111xx1 \ {
   xx11111x01, xx10111x11, xx1x111x11, x11x111xx1, 1011111xx1, 1110111xx1}}

{}
{0x100 \ {01100}, 10xx0 \ {101x0, 10x10}, 00xx1 \ {00111, 00x11, 00001}}
{}

{x00xx \ {100x0, x0000, x001x}, 11x00 \ {11000}}
{x10x0 \ {01010, 010x0, x1010}}
{
   x10x0x00x0 \ {
   x1010x0000, x1000x0010, x10x0100x0, x10x0x0000, x10x0x0010, 01010x00x0, 010x0x00x0, x1010x00x0}, x100011x00 \ {
   x100011000, 0100011x00}}

{x11x0 \ {11110, 011x0}}
{}
{}

{0xx11 \ {0x111, 00011, 00x11}, x1000 \ {01000, 11000}}
{001x1 \ {00111, 00101}, xx111 \ {0x111, x1111}}
{
   001110xx11 \ {
   001110x111, 0011100011, 0011100x11, 001110xx11}, xx1110xx11 \ {
   xx1110x111, xx11100011, xx11100x11, 0x1110xx11, x11110xx11}}

{0x1xx \ {0x110, 01101}, x1x1x \ {11x1x, 01x11, 11011}}
{x01x0 \ {10110, 00100, 101x0}, xx1x0 \ {1x1x0, 111x0, 1x110}}
{
   x01x00x1x0 \ {
   x01100x100, x01000x110, x01x00x110, 101100x1x0, 001000x1x0, 101x00x1x0}, xx1x00x1x0 \ {
   xx1100x100, xx1000x110, xx1x00x110, 1x1x00x1x0, 111x00x1x0, 1x1100x1x0}, x0110x1x10 \ {
   x011011x10, 10110x1x10, 10110x1x10}, xx110x1x10 \ {
   xx11011x10, 1x110x1x10, 11110x1x10, 1x110x1x10}}

{xxx10 \ {11x10, 00110, xx010}, 10x00 \ {10000}}
{xx111 \ {x0111, 01111, 00111}}
{}

{x11x0 \ {011x0, 11100, x1110}, x01xx \ {001x0, 10100, x0100}, 000xx \ {000x1, 0000x, 00000}}
{x100x \ {0100x, 01001}, 11x1x \ {11111, 11011, 11010}}
{
   x1000x1100 \ {
   x100001100, x100011100, 01000x1100}, 11x10x1110 \ {
   11x1001110, 11x10x1110, 11010x1110}, x100xx010x \ {
   x1001x0100, x1000x0101, x100x00100, x100x10100, x100xx0100, 0100xx010x, 01001x010x}, 11x1xx011x \ {
   11x11x0110, 11x10x0111, 11x1x00110, 11111x011x, 11011x011x, 11010x011x}, x100x0000x \ {
   x100100000, x100000001, x100x00001, x100x0000x, x100x00000, 0100x0000x, 010010000x}, 11x1x0001x \ {
   11x1100010, 11x1000011, 11x1x00011, 111110001x, 110110001x, 110100001x}}

{x0xx0 \ {000x0, 00x10, x0x10}, 1xx01 \ {1x001, 11x01, 1x101}}
{}
{}

{xx01x \ {00010, 1001x, xx011}}
{}
{}

{xx000 \ {x1000, 1x000, 00000}, x1xxx \ {0100x, 11x11, 11101}, 0x1xx \ {001x0, 0x110, 0x1x0}}
{xxx01 \ {10101, 00x01}}
{
   xxx01x1x01 \ {
   xxx0101001, xxx0111101, 10101x1x01, 00x01x1x01}, xxx010x101 \ {
   101010x101, 00x010x101}}

{x1xx1 \ {x1x11, x1101, 01x01}, 0x0xx \ {010x0, 0x01x, 00000}}
{0xxx0 \ {0x0x0, 011x0, 0xx00}}
{
   0xxx00x0x0 \ {
   0xx100x000, 0xx000x010, 0xxx0010x0, 0xxx00x010, 0xxx000000, 0x0x00x0x0, 011x00x0x0, 0xx000x0x0}}

{11x01 \ {11101, 11001}}
{0x0x0 \ {00000, 0x000, 000x0}}
{}

{1x10x \ {1x101, 1110x, 1110x}}
{0x1x0 \ {00100, 0x100, 0x110}}
{
   0x1001x100 \ {
   0x10011100, 0x10011100, 001001x100, 0x1001x100}}

{00x0x \ {00100, 00x00}}
{1100x \ {11001, 11000, 11000}}
{
   1100x00x0x \ {
   1100100x00, 1100000x01, 1100x00100, 1100x00x00, 1100100x0x, 1100000x0x, 1100000x0x}}

{000x0 \ {00000, 00010, 00010}}
{xx10x \ {xx101, 10101, 1x101}}
{
   xx10000000 \ {
   xx10000000}}

{0x0x0 \ {000x0, 0x000, 00010}}
{x1x10 \ {11x10, 11110, 11110}, 01xxx \ {0101x, 010x0, 01101}}
{
   x1x100x010 \ {
   x1x1000010, x1x1000010, 11x100x010, 111100x010, 111100x010}, 01xx00x0x0 \ {
   01x100x000, 01x000x010, 01xx0000x0, 01xx00x000, 01xx000010, 010100x0x0, 010x00x0x0}}

{00xx0 \ {00010, 000x0, 00100}, xx000 \ {00000}}
{00xx0 \ {001x0, 00x10, 00x10}, 0xx1x \ {01x11, 0111x, 01011}}
{
   00xx000xx0 \ {
   00x1000x00, 00x0000x10, 00xx000010, 00xx0000x0, 00xx000100, 001x000xx0, 00x1000xx0, 00x1000xx0}, 0xx1000x10 \ {
   0xx1000010, 0xx1000010, 0111000x10}, 00x00xx000 \ {
   00x0000000, 00100xx000}}

{1111x \ {11111, 11110, 11110}, 0x1x1 \ {011x1, 001x1, 01111}, 110x1 \ {11001, 11011}}
{001xx \ {001x1, 00111, 001x0}}
{
   0011x1111x \ {
   0011111110, 0011011111, 0011x11111, 0011x11110, 0011x11110, 001111111x, 001111111x, 001101111x}, 001x10x1x1 \ {
   001110x101, 001010x111, 001x1011x1, 001x1001x1, 001x101111, 001x10x1x1, 001110x1x1}, 001x1110x1 \ {
   0011111001, 0010111011, 001x111001, 001x111011, 001x1110x1, 00111110x1}}

{x1001 \ {11001, 01001}, 010x1 \ {01001}}
{xx1xx \ {01110, 01101, xx1x1}}
{
   xx101x1001 \ {
   xx10111001, xx10101001, 01101x1001, xx101x1001}, xx1x1010x1 \ {
   xx11101001, xx10101011, xx1x101001, 01101010x1, xx1x1010x1}}

{1x11x \ {11111, 11110, 1111x}, 11x11 \ {11011, 11111}}
{01xx1 \ {01011, 010x1}, 1xx0x \ {1xx00, 10100, 1x10x}}
{
   01x111x111 \ {
   01x1111111, 01x1111111, 010111x111, 010111x111}, 01x1111x11 \ {
   01x1111011, 01x1111111, 0101111x11, 0101111x11}}

{}
{x00xx \ {x0000, 1001x, 1001x}}
{}

{xx111 \ {10111, 00111}, xxx0x \ {0x00x, x0x00, 11x0x}, 11x11 \ {11011}}
{00x0x \ {00100, 00x01, 00000}, x10x0 \ {x1010, 11000, 11010}, 010x0 \ {01000, 01010}}
{
   00x0xxxx0x \ {
   00x01xxx00, 00x00xxx01, 00x0x0x00x, 00x0xx0x00, 00x0x11x0x, 00100xxx0x, 00x01xxx0x, 00000xxx0x}, x1000xxx00 \ {
   x10000x000, x1000x0x00, x100011x00, 11000xxx00}, 01000xxx00 \ {
   010000x000, 01000x0x00, 0100011x00, 01000xxx00}}

{xx01x \ {0001x, 1x010, xx010}}
{1xxx1 \ {10x01, 11001, 110x1}, 1xx1x \ {10011, 10010, 1x011}}
{
   1xx11xx011 \ {
   1xx1100011, 11011xx011}, 1xx1xxx01x \ {
   1xx11xx010, 1xx10xx011, 1xx1x0001x, 1xx1x1x010, 1xx1xxx010, 10011xx01x, 10010xx01x, 1x011xx01x}}

{10x10 \ {10110, 10010}, 00x1x \ {00010, 00011, 00110}, 10x11 \ {10011, 10111, 10111}}
{}
{}

{x1x10 \ {11110, 01x10, x1110}, xx0xx \ {010x0, 0001x, x001x}}
{x111x \ {01111, x1111, 1111x}, x1x10 \ {01010, 11010}, x0101 \ {00101}}
{
   x1110x1x10 \ {
   x111011110, x111001x10, x1110x1110, 11110x1x10}, x1x10x1x10 \ {
   x1x1011110, x1x1001x10, x1x10x1110, 01010x1x10, 11010x1x10}, x111xxx01x \ {
   x1111xx010, x1110xx011, x111x01010, x111x0001x, x111xx001x, 01111xx01x, x1111xx01x, 1111xxx01x}, x1x10xx010 \ {
   x1x1001010, x1x1000010, x1x10x0010, 01010xx010, 11010xx010}, x0101xx001 \ {
   00101xx001}}

{1xx11 \ {1x111, 10011}, 000x0 \ {00000}}
{xx1xx \ {0x10x, xx11x, 0111x}, 1x0x0 \ {11010, 110x0, 100x0}}
{
   xx1111xx11 \ {
   xx1111x111, xx11110011, xx1111xx11, 011111xx11}, xx1x0000x0 \ {
   xx11000000, xx10000010, xx1x000000, 0x100000x0, xx110000x0, 01110000x0}, 1x0x0000x0 \ {
   1x01000000, 1x00000010, 1x0x000000, 11010000x0, 110x0000x0, 100x0000x0}}

{10xx1 \ {10001, 100x1, 10111}, x11xx \ {x11x1, 01100, 11100}}
{1xx11 \ {1x011, 10x11, 11x11}, x11x1 \ {11111, 111x1, x1111}, xxx01 \ {xx001, 0x001, 0x001}}
{
   1xx1110x11 \ {
   1xx1110011, 1xx1110111, 1x01110x11, 10x1110x11, 11x1110x11}, x11x110xx1 \ {
   x111110x01, x110110x11, x11x110001, x11x1100x1, x11x110111, 1111110xx1, 111x110xx1, x111110xx1}, xxx0110x01 \ {
   xxx0110001, xxx0110001, xx00110x01, 0x00110x01, 0x00110x01}, 1xx11x1111 \ {
   1xx11x1111, 1x011x1111, 10x11x1111, 11x11x1111}, x11x1x11x1 \ {
   x1111x1101, x1101x1111, x11x1x11x1, 11111x11x1, 111x1x11x1, x1111x11x1}, xxx01x1101 \ {
   xxx01x1101, xx001x1101, 0x001x1101, 0x001x1101}}

{0xxx1 \ {000x1, 0xx01, 01x11}, 0x00x \ {01000, 0100x}, x111x \ {01111, x1110, 0111x}}
{}
{}

{x1x01 \ {11x01, 01001, 01x01}, 0x0x0 \ {000x0, 0x010, 01000}}
{00xxx \ {00100, 0010x, 000x0}, 011xx \ {0110x, 01110, 01100}, x10xx \ {01010, 11011, 110xx}}
{
   00x01x1x01 \ {
   00x0111x01, 00x0101001, 00x0101x01, 00101x1x01}, 01101x1x01 \ {
   0110111x01, 0110101001, 0110101x01, 01101x1x01}, x1001x1x01 \ {
   x100111x01, x100101001, x100101x01, 11001x1x01}, 00xx00x0x0 \ {
   00x100x000, 00x000x010, 00xx0000x0, 00xx00x010, 00xx001000, 001000x0x0, 001000x0x0, 000x00x0x0}, 011x00x0x0 \ {
   011100x000, 011000x010, 011x0000x0, 011x00x010, 011x001000, 011000x0x0, 011100x0x0, 011000x0x0}, x10x00x0x0 \ {
   x10100x000, x10000x010, x10x0000x0, x10x00x010, x10x001000, 010100x0x0, 110x00x0x0}}

{010xx \ {01010, 01000, 01011}}
{xx011 \ {x0011, 01011, 10011}, 0xx11 \ {0x111, 01011, 00111}, 11xxx \ {11x1x, 1101x, 11101}}
{
   xx01101011 \ {
   xx01101011, x001101011, 0101101011, 1001101011}, 0xx1101011 \ {
   0xx1101011, 0x11101011, 0101101011, 0011101011}, 11xxx010xx \ {
   11xx1010x0, 11xx0010x1, 11x1x0100x, 11x0x0101x, 11xxx01010, 11xxx01000, 11xxx01011, 11x1x010xx, 1101x010xx, 11101010xx}}

{010x0 \ {01000, 01010}, x10xx \ {01011, 010xx, 1100x}, xx11x \ {xx110, 1x11x, 0x110}}
{1x10x \ {11101, 1010x}}
{
   1x10001000 \ {
   1x10001000, 1010001000}, 1x10xx100x \ {
   1x101x1000, 1x100x1001, 1x10x0100x, 1x10x1100x, 11101x100x, 1010xx100x}}

{11xx1 \ {110x1, 111x1, 11101}, 0xxxx \ {01x0x, 001xx, 0101x}}
{10xx1 \ {10x11, 101x1, 10111}}
{
   10xx111xx1 \ {
   10x1111x01, 10x0111x11, 10xx1110x1, 10xx1111x1, 10xx111101, 10x1111xx1, 101x111xx1, 1011111xx1}, 10xx10xxx1 \ {
   10x110xx01, 10x010xx11, 10xx101x01, 10xx1001x1, 10xx101011, 10x110xxx1, 101x10xxx1, 101110xxx1}}

{1xxxx \ {10x11, 1x011, 1011x}, 1x1x0 \ {11110, 11100}}
{0x1xx \ {0x100, 01100, 0111x}}
{
   0x1xx1xxxx \ {
   0x1x11xxx0, 0x1x01xxx1, 0x11x1xx0x, 0x10x1xx1x, 0x1xx10x11, 0x1xx1x011, 0x1xx1011x, 0x1001xxxx, 011001xxxx, 0111x1xxxx}, 0x1x01x1x0 \ {
   0x1101x100, 0x1001x110, 0x1x011110, 0x1x011100, 0x1001x1x0, 011001x1x0, 011101x1x0}}

{1x11x \ {1x111, 1x110, 1x110}}
{}
{}

{xx0x1 \ {1x011, 01001, xx001}, 01x10 \ {01010}}
{1111x \ {11111, 11110}}
{
   11111xx011 \ {
   111111x011, 11111xx011}, 1111001x10 \ {
   1111001010, 1111001x10}}

{x110x \ {1110x, 0110x}, x1xxx \ {x10x0, 01x1x, 11011}, 0x010 \ {01010, 00010}}
{x10x1 \ {11001, x1011, x1011}}
{
   x1001x1101 \ {
   x100111101, x100101101, 11001x1101}, x10x1x1xx1 \ {
   x1011x1x01, x1001x1x11, x10x101x11, x10x111011, 11001x1xx1, x1011x1xx1, x1011x1xx1}}

{x01xx \ {x0100, x0101, 00101}}
{11x1x \ {1111x, 11x10}}
{
   11x1xx011x \ {
   11x11x0110, 11x10x0111, 1111xx011x, 11x10x011x}}

{x1xx1 \ {011x1, x1x11, 01101}}
{0x110 \ {00110, 01110}, xx100 \ {01100, 10100}, 10xx1 \ {10001, 10011, 10111}}
{
   10xx1x1xx1 \ {
   10x11x1x01, 10x01x1x11, 10xx1011x1, 10xx1x1x11, 10xx101101, 10001x1xx1, 10011x1xx1, 10111x1xx1}}

{}
{001xx \ {00110, 0010x, 00101}}
{}

{1x00x \ {1x000, 11001, 10001}, 1x111 \ {11111, 10111}}
{xxxx1 \ {0x111, 11x01, x1x01}, 101x1 \ {10111, 10101}, x00xx \ {000x0, x0001, 0001x}}
{
   xxx011x001 \ {
   xxx0111001, xxx0110001, 11x011x001, x1x011x001}, 101011x001 \ {
   1010111001, 1010110001, 101011x001}, x000x1x00x \ {
   x00011x000, x00001x001, x000x1x000, x000x11001, x000x10001, 000001x00x, x00011x00x}, xxx111x111 \ {
   xxx1111111, xxx1110111, 0x1111x111}, 101111x111 \ {
   1011111111, 1011110111, 101111x111}, x00111x111 \ {
   x001111111, x001110111, 000111x111}}

{}
{1x11x \ {1111x, 1x111, 1011x}, xx10x \ {0x10x, 11101, 11100}}
{}

{x0xx1 \ {x0x01, 100x1, 00x01}, x11xx \ {x1101, 0111x, 11100}}
{01x10 \ {01110, 01010}, 1xxxx \ {10100, 10x10, 10000}}
{
   1xxx1x0xx1 \ {
   1xx11x0x01, 1xx01x0x11, 1xxx1x0x01, 1xxx1100x1, 1xxx100x01}, 01x10x1110 \ {
   01x1001110, 01110x1110, 01010x1110}, 1xxxxx11xx \ {
   1xxx1x11x0, 1xxx0x11x1, 1xx1xx110x, 1xx0xx111x, 1xxxxx1101, 1xxxx0111x, 1xxxx11100, 10100x11xx, 10x10x11xx, 10000x11xx}}

{00xx0 \ {00100, 001x0, 000x0}}
{x10xx \ {110xx, 11011, x1011}, 000x0 \ {00000, 00010, 00010}}
{
   x10x000xx0 \ {
   x101000x00, x100000x10, x10x000100, x10x0001x0, x10x0000x0, 110x000xx0}, 000x000xx0 \ {
   0001000x00, 0000000x10, 000x000100, 000x0001x0, 000x0000x0, 0000000xx0, 0001000xx0, 0001000xx0}}

{0xxx1 \ {0xx11, 0x0x1, 0x1x1}}
{x101x \ {x1010, 1101x, 0101x}, x1xx1 \ {x11x1, 11001, 11x01}}
{
   x10110xx11 \ {
   x10110xx11, x10110x011, x10110x111, 110110xx11, 010110xx11}, x1xx10xxx1 \ {
   x1x110xx01, x1x010xx11, x1xx10xx11, x1xx10x0x1, x1xx10x1x1, x11x10xxx1, 110010xxx1, 11x010xxx1}}

{x0100 \ {00100, 10100, 10100}}
{}
{}

{0x10x \ {0x100, 00100, 00100}, xx010 \ {11010, 00010, x1010}, x0x10 \ {x0010, 00110, x0110}}
{xxx01 \ {01x01, 10101, 11101}, 0xx10 \ {0x110, 00010, 01110}}
{
   xxx010x101 \ {
   01x010x101, 101010x101, 111010x101}, 0xx10xx010 \ {
   0xx1011010, 0xx1000010, 0xx10x1010, 0x110xx010, 00010xx010, 01110xx010}, 0xx10x0x10 \ {
   0xx10x0010, 0xx1000110, 0xx10x0110, 0x110x0x10, 00010x0x10, 01110x0x10}}

{x0100 \ {00100, 10100}, x1001 \ {01001}}
{}
{}

{x10x0 \ {x1010, 11010, 01010}}
{00xx1 \ {00101, 001x1}}
{}

{00x1x \ {00x11, 00010, 00111}, x1xx1 \ {x1001, x1111, 01xx1}, 101xx \ {101x1, 101x0, 10100}}
{}
{}

{xxxxx \ {10110, xxx0x, x11x1}, x0x01 \ {10101, 10001, 00001}}
{0x0xx \ {01011, 00011, 010xx}, 01x0x \ {01001, 0100x, 01101}, xx0x1 \ {11011, 0x0x1, 1x011}}
{
   0x0xxxxxxx \ {
   0x0x1xxxx0, 0x0x0xxxx1, 0x01xxxx0x, 0x00xxxx1x, 0x0xx10110, 0x0xxxxx0x, 0x0xxx11x1, 01011xxxxx, 00011xxxxx, 010xxxxxxx}, 01x0xxxx0x \ {
   01x01xxx00, 01x00xxx01, 01x0xxxx0x, 01x0xx1101, 01001xxx0x, 0100xxxx0x, 01101xxx0x}, xx0x1xxxx1 \ {
   xx011xxx01, xx001xxx11, xx0x1xxx01, xx0x1x11x1, 11011xxxx1, 0x0x1xxxx1, 1x011xxxx1}, 0x001x0x01 \ {
   0x00110101, 0x00110001, 0x00100001, 01001x0x01}, 01x01x0x01 \ {
   01x0110101, 01x0110001, 01x0100001, 01001x0x01, 01001x0x01, 01101x0x01}, xx001x0x01 \ {
   xx00110101, xx00110001, xx00100001, 0x001x0x01}}

{xxxx0 \ {x0010, 0xxx0, 000x0}, xx1xx \ {00101, 0111x, 10101}}
{x0101 \ {00101, 10101}}
{
   x0101xx101 \ {
   x010100101, x010110101, 00101xx101, 10101xx101}}

{10xx1 \ {100x1, 10001, 10001}}
{}
{}

{0x111 \ {01111, 00111}, 00x1x \ {00111, 00x11, 00110}, xx1x1 \ {01111, xx111, 0x111}}
{1011x \ {10111, 10110}, xx1x1 \ {011x1, 11101, 10111}, x0x1x \ {10x1x, x0111, x011x}}
{
   101110x111 \ {
   1011101111, 1011100111, 101110x111}, xx1110x111 \ {
   xx11101111, xx11100111, 011110x111, 101110x111}, x0x110x111 \ {
   x0x1101111, x0x1100111, 10x110x111, x01110x111, x01110x111}, 1011x00x1x \ {
   1011100x10, 1011000x11, 1011x00111, 1011x00x11, 1011x00110, 1011100x1x, 1011000x1x}, xx11100x11 \ {
   xx11100111, xx11100x11, 0111100x11, 1011100x11}, x0x1x00x1x \ {
   x0x1100x10, x0x1000x11, x0x1x00111, x0x1x00x11, x0x1x00110, 10x1x00x1x, x011100x1x, x011x00x1x}, 10111xx111 \ {
   1011101111, 10111xx111, 101110x111, 10111xx111}, xx1x1xx1x1 \ {
   xx111xx101, xx101xx111, xx1x101111, xx1x1xx111, xx1x10x111, 011x1xx1x1, 11101xx1x1, 10111xx1x1}, x0x11xx111 \ {
   x0x1101111, x0x11xx111, x0x110x111, 10x11xx111, x0111xx111, x0111xx111}}

{0110x \ {01101, 01100}}
{xx0x1 \ {00011, 100x1, 110x1}, 01xx1 \ {011x1, 01001, 010x1}}
{
   xx00101101 \ {
   xx00101101, 1000101101, 1100101101}, 01x0101101 \ {
   01x0101101, 0110101101, 0100101101, 0100101101}}

{111x0 \ {11100, 11110}, xx101 \ {0x101, 00101, 11101}}
{xxx01 \ {10101, 10x01, 0x101}}
{
   xxx01xx101 \ {
   xxx010x101, xxx0100101, xxx0111101, 10101xx101, 10x01xx101, 0x101xx101}}

{}
{0xx0x \ {0xx01, 00001}}
{}

{1xx1x \ {11110, 1xx11, 1111x}, 00x10 \ {00010}, 0x1x0 \ {011x0, 00100, 00100}}
{x0011 \ {00011, 10011}, xxx0x \ {00x01, 0110x, 0100x}}
{
   x00111xx11 \ {
   x00111xx11, x001111111, 000111xx11, 100111xx11}, xxx000x100 \ {
   xxx0001100, xxx0000100, xxx0000100, 011000x100, 010000x100}}

{01x11 \ {01111}}
{0x0xx \ {00001, 000x1, 010x1}}
{
   0x01101x11 \ {
   0x01101111, 0001101x11, 0101101x11}}

{10x00 \ {10000, 10100, 10100}, 00x00 \ {00100, 00000}, x10xx \ {0101x, 11001, 010x0}}
{01x1x \ {01x11, 0111x, 01111}, 100x0 \ {10000, 10010}}
{
   1000010x00 \ {
   1000010000, 1000010100, 1000010100, 1000010x00}, 1000000x00 \ {
   1000000100, 1000000000, 1000000x00}, 01x1xx101x \ {
   01x11x1010, 01x10x1011, 01x1x0101x, 01x1x01010, 01x11x101x, 0111xx101x, 01111x101x}, 100x0x10x0 \ {
   10010x1000, 10000x1010, 100x001010, 100x0010x0, 10000x10x0, 10010x10x0}}

{01x00 \ {01100, 01000}, x1x0x \ {11101, 11x00, 01000}}
{01xx0 \ {010x0, 01110, 01x00}}
{
   01x0001x00 \ {
   01x0001100, 01x0001000, 0100001x00, 01x0001x00}, 01x00x1x00 \ {
   01x0011x00, 01x0001000, 01000x1x00, 01x00x1x00}}

{x11xx \ {011x1, x111x, x110x}, 01x11 \ {01111, 01011, 01011}}
{000x1 \ {00011, 00001, 00001}}
{
   000x1x11x1 \ {
   00011x1101, 00001x1111, 000x1011x1, 000x1x1111, 000x1x1101, 00011x11x1, 00001x11x1, 00001x11x1}, 0001101x11 \ {
   0001101111, 0001101011, 0001101011, 0001101x11}}

{1xx01 \ {11x01, 10x01, 10101}, 1x1x0 \ {1x100, 11100, 1x110}}
{}
{}

{xxx11 \ {10111, xx111}, 1x101 \ {11101, 10101, 10101}}
{x1x0x \ {x1x01, x110x, 11x00}}
{
   x1x011x101 \ {
   x1x0111101, x1x0110101, x1x0110101, x1x011x101, x11011x101}}

{010xx \ {010x1, 0101x, 01000}}
{0xx1x \ {01111, 01x10, 01x11}}
{
   0xx1x0101x \ {
   0xx1101010, 0xx1001011, 0xx1x01011, 0xx1x0101x, 011110101x, 01x100101x, 01x110101x}}

{}
{1xx1x \ {10x11, 1x010, 10011}, x1xx0 \ {01100, x1x00, 11xx0}}
{}

{00x1x \ {00x10, 00111, 00011}}
{x010x \ {00101, 0010x, 10101}}
{}

{1x1x0 \ {1x100, 101x0, 111x0}, 1xx11 \ {11x11, 1x011, 10111}}
{0xx00 \ {0x000, 01000, 01000}, 1x101 \ {11101}}
{
   0xx001x100 \ {
   0xx001x100, 0xx0010100, 0xx0011100, 0x0001x100, 010001x100, 010001x100}}

{1x11x \ {1x111, 10111, 1011x}, 0xxxx \ {00x0x, 0xx00, 00x10}}
{x1x11 \ {01x11, 11011, 11011}, xx0xx \ {010xx, xx001, x101x}}
{
   x1x111x111 \ {
   x1x111x111, x1x1110111, x1x1110111, 01x111x111, 110111x111, 110111x111}, xx01x1x11x \ {
   xx0111x110, xx0101x111, xx01x1x111, xx01x10111, xx01x1011x, 0101x1x11x, x101x1x11x}, x1x110xx11 \ {
   01x110xx11, 110110xx11, 110110xx11}, xx0xx0xxxx \ {
   xx0x10xxx0, xx0x00xxx1, xx01x0xx0x, xx00x0xx1x, xx0xx00x0x, xx0xx0xx00, xx0xx00x10, 010xx0xxxx, xx0010xxxx, x101x0xxxx}}

{xx110 \ {0x110, 1x110}, 10x10 \ {10010, 10110, 10110}}
{}
{}

{1xx11 \ {11011, 11111, 10x11}, x0111 \ {10111, 00111, 00111}}
{0xxxx \ {0x01x, 01101, 00x00}, 0x0x1 \ {010x1, 00011, 01011}, x1xxx \ {01110, 110x1, 11110}}
{
   0xx111xx11 \ {
   0xx1111011, 0xx1111111, 0xx1110x11, 0x0111xx11}, 0x0111xx11 \ {
   0x01111011, 0x01111111, 0x01110x11, 010111xx11, 000111xx11, 010111xx11}, x1x111xx11 \ {
   x1x1111011, x1x1111111, x1x1110x11, 110111xx11}, 0xx11x0111 \ {
   0xx1110111, 0xx1100111, 0xx1100111, 0x011x0111}, 0x011x0111 \ {
   0x01110111, 0x01100111, 0x01100111, 01011x0111, 00011x0111, 01011x0111}, x1x11x0111 \ {
   x1x1110111, x1x1100111, x1x1100111, 11011x0111}}

{1x1x1 \ {111x1, 11101, 11111}, 1100x \ {11001}, 0001x \ {00011, 00010, 00010}}
{10xx0 \ {10010, 100x0, 10x10}, xx01x \ {00010, xx011, xx011}}
{
   xx0111x111 \ {
   xx01111111, xx01111111, xx0111x111, xx0111x111}, 10x0011000 \ {
   1000011000}, 10x1000010 \ {
   10x1000010, 10x1000010, 1001000010, 1001000010, 10x1000010}, xx01x0001x \ {
   xx01100010, xx01000011, xx01x00011, xx01x00010, xx01x00010, 000100001x, xx0110001x, xx0110001x}}

{x01x1 \ {x0111, 10101, x0101}}
{0xx00 \ {01100, 01000, 01x00}, x100x \ {01001, x1001, 01000}, 0xxx0 \ {001x0, 0x0x0, 00110}}
{
   x1001x0101 \ {
   x100110101, x1001x0101, 01001x0101, x1001x0101}}

{xx001 \ {00001, 1x001}, x0x1x \ {00011, 10x1x, 10x10}, xx100 \ {1x100, 11100, 0x100}}
{x1001 \ {01001}, x00xx \ {10011, 00010, 0000x}}
{
   x1001xx001 \ {
   x100100001, x10011x001, 01001xx001}, x0001xx001 \ {
   x000100001, x00011x001, 00001xx001}, x001xx0x1x \ {
   x0011x0x10, x0010x0x11, x001x00011, x001x10x1x, x001x10x10, 10011x0x1x, 00010x0x1x}, x0000xx100 \ {
   x00001x100, x000011100, x00000x100, 00000xx100}}

{01xx1 \ {01011, 01111, 01x11}}
{1xx0x \ {11x0x, 1xx01}, x101x \ {x1011, 1101x, 1101x}}
{
   1xx0101x01 \ {
   11x0101x01, 1xx0101x01}, x101101x11 \ {
   x101101011, x101101111, x101101x11, x101101x11, 1101101x11, 1101101x11}}

{xxx0x \ {00101, 1x100, xx001}}
{}
{}

{00xx0 \ {00100, 00110, 00010}, xxx1x \ {1xx1x, 11010, 00110}}
{1x01x \ {1x011, 1x010, 10010}, xx0x0 \ {01000, x0010, 1x000}}
{
   1x01000x10 \ {
   1x01000110, 1x01000010, 1x01000x10, 1001000x10}, xx0x000xx0 \ {
   xx01000x00, xx00000x10, xx0x000100, xx0x000110, xx0x000010, 0100000xx0, x001000xx0, 1x00000xx0}, 1x01xxxx1x \ {
   1x011xxx10, 1x010xxx11, 1x01x1xx1x, 1x01x11010, 1x01x00110, 1x011xxx1x, 1x010xxx1x, 10010xxx1x}, xx010xxx10 \ {
   xx0101xx10, xx01011010, xx01000110, x0010xxx10}}

{xxx10 \ {0x110, 1x010, x1010}, 0x01x \ {00010, 01011, 0001x}}
{00xxx \ {000x0, 0001x, 001xx}}
{
   00x10xxx10 \ {
   00x100x110, 00x101x010, 00x10x1010, 00010xxx10, 00010xxx10, 00110xxx10}, 00x1x0x01x \ {
   00x110x010, 00x100x011, 00x1x00010, 00x1x01011, 00x1x0001x, 000100x01x, 0001x0x01x, 0011x0x01x}}

{10x10 \ {10010, 10110, 10110}}
{1xx1x \ {1xx10, 10x11, 1x01x}, 1xx0x \ {11000, 1x00x, 11001}, x1011 \ {01011}}
{
   1xx1010x10 \ {
   1xx1010010, 1xx1010110, 1xx1010110, 1xx1010x10, 1x01010x10}}

{0111x \ {01110, 01111}, xx1x0 \ {00100, 1x100, 1x110}}
{}
{}

{0x011 \ {01011}}
{xx100 \ {00100, 0x100, x0100}}
{}

{1xx01 \ {11x01, 10101, 10101}, xx00x \ {01001, x1000, 0100x}, xxx1x \ {x0011, 1011x, 10111}}
{1xx0x \ {1x101, 10000, 1x001}}
{
   1xx011xx01 \ {
   1xx0111x01, 1xx0110101, 1xx0110101, 1x1011xx01, 1x0011xx01}, 1xx0xxx00x \ {
   1xx01xx000, 1xx00xx001, 1xx0x01001, 1xx0xx1000, 1xx0x0100x, 1x101xx00x, 10000xx00x, 1x001xx00x}}

{0xxx1 \ {01111, 00x11, 010x1}}
{}
{}

{x0100 \ {10100, 00100}}
{x11x1 \ {111x1, x1101}, x1x00 \ {x1000, 11000, 01x00}}
{
   x1x00x0100 \ {
   x1x0010100, x1x0000100, x1000x0100, 11000x0100, 01x00x0100}}

{x1100 \ {11100, 01100, 01100}, x0x0x \ {10x00, x0100, 10x01}, 1xxx0 \ {110x0, 111x0, 1x110}}
{01xx1 \ {01011, 01101}, 0xx01 \ {01x01, 00x01, 00x01}}
{
   01x01x0x01 \ {
   01x0110x01, 01101x0x01}, 0xx01x0x01 \ {
   0xx0110x01, 01x01x0x01, 00x01x0x01, 00x01x0x01}}

{x001x \ {x0010, 00010, 1001x}, x0001 \ {10001, 00001}}
{011xx \ {011x0, 01111}, 11xxx \ {11x01, 110xx, 11xx1}}
{
   0111xx001x \ {
   01111x0010, 01110x0011, 0111xx0010, 0111x00010, 0111x1001x, 01110x001x, 01111x001x}, 11x1xx001x \ {
   11x11x0010, 11x10x0011, 11x1xx0010, 11x1x00010, 11x1x1001x, 1101xx001x, 11x11x001x}, 01101x0001 \ {
   0110110001, 0110100001}, 11x01x0001 \ {
   11x0110001, 11x0100001, 11x01x0001, 11001x0001, 11x01x0001}}

{11x01 \ {11101, 11001, 11001}}
{x1xxx \ {01xx0, 11x10, 01010}}
{
   x1x0111x01 \ {
   x1x0111101, x1x0111001, x1x0111001}}

{x1x10 \ {11110, x1110, 01x10}}
{0x11x \ {0x111, 00111, 0111x}}
{
   0x110x1x10 \ {
   0x11011110, 0x110x1110, 0x11001x10, 01110x1x10}}

{10x1x \ {10011, 10111, 1001x}}
{x10x0 \ {01010, 01000, 110x0}, xx1x1 \ {01101, x0101, 11111}}
{
   x101010x10 \ {
   x101010010, 0101010x10, 1101010x10}, xx11110x11 \ {
   xx11110011, xx11110111, xx11110011, 1111110x11}}

{0110x \ {01100, 01101, 01101}, 11x01 \ {11001, 11101}}
{xx01x \ {x101x, 10010, 01010}, 1x01x \ {11010, 1x010, 10011}, x1xxx \ {110x0, 11011, x11xx}}
{
   x1x0x0110x \ {
   x1x0101100, x1x0001101, x1x0x01100, x1x0x01101, x1x0x01101, 110000110x, x110x0110x}, x1x0111x01 \ {
   x1x0111001, x1x0111101, x110111x01}}

{x00xx \ {10001, x001x, 00011}, x1000 \ {11000, 01000, 01000}, 0x1x0 \ {01110, 0x110, 0x110}}
{0xx1x \ {0x110, 0x010, 0001x}, 0101x \ {01010, 01011}}
{
   0xx1xx001x \ {
   0xx11x0010, 0xx10x0011, 0xx1xx001x, 0xx1x00011, 0x110x001x, 0x010x001x, 0001xx001x}, 0101xx001x \ {
   01011x0010, 01010x0011, 0101xx001x, 0101x00011, 01010x001x, 01011x001x}, 0xx100x110 \ {
   0xx1001110, 0xx100x110, 0xx100x110, 0x1100x110, 0x0100x110, 000100x110}, 010100x110 \ {
   0101001110, 010100x110, 010100x110, 010100x110}}

{}
{}
{}

{x1x11 \ {01x11, 11011, 11111}}
{}
{}

{}
{10xxx \ {10x00, 101x0, 1010x}, xx100 \ {00100, 10100, 01100}}
{}

{00xx1 \ {00x11, 00111, 00111}, 11x00 \ {11100}}
{11xxx \ {110x0, 11110, 11x11}, x0x1x \ {x0111, 00011}}
{
   11xx100xx1 \ {
   11x1100x01, 11x0100x11, 11xx100x11, 11xx100111, 11xx100111, 11x1100xx1}, x0x1100x11 \ {
   x0x1100x11, x0x1100111, x0x1100111, x011100x11, 0001100x11}, 11x0011x00 \ {
   11x0011100, 1100011x00}}

{1xx0x \ {11001, 11000, 10x00}, x00x0 \ {00000, x0010, 10000}}
{1x1x1 \ {11111, 1x101, 10111}}
{
   1x1011xx01 \ {
   1x10111001, 1x1011xx01}}

{xxx0x \ {x0x01, 01101, 1000x}, xxx11 \ {x1111, x0x11, xx111}, 11xx0 \ {11x00, 111x0, 11x10}}
{xxx0x \ {1x101, 10001, 0x001}, 0x01x \ {01010, 01011}, 1110x \ {11101, 11100}}
{
   xxx0xxxx0x \ {
   xxx01xxx00, xxx00xxx01, xxx0xx0x01, xxx0x01101, xxx0x1000x, 1x101xxx0x, 10001xxx0x, 0x001xxx0x}, 1110xxxx0x \ {
   11101xxx00, 11100xxx01, 1110xx0x01, 1110x01101, 1110x1000x, 11101xxx0x, 11100xxx0x}, 0x011xxx11 \ {
   0x011x1111, 0x011x0x11, 0x011xx111, 01011xxx11}, xxx0011x00 \ {
   xxx0011x00, xxx0011100}, 0x01011x10 \ {
   0x01011110, 0x01011x10, 0101011x10}, 1110011x00 \ {
   1110011x00, 1110011100, 1110011x00}}

{xx001 \ {x1001, 00001, 01001}, 11xx1 \ {11x01, 11x11}}
{0000x \ {00001, 00000}}
{
   00001xx001 \ {
   00001x1001, 0000100001, 0000101001, 00001xx001}, 0000111x01 \ {
   0000111x01, 0000111x01}}

{x000x \ {x0000, 00001, 00000}, xx110 \ {01110, 0x110, x1110}}
{x10x0 \ {11010, 01010, 11000}}
{
   x1000x0000 \ {
   x1000x0000, x100000000, 11000x0000}, x1010xx110 \ {
   x101001110, x10100x110, x1010x1110, 11010xx110, 01010xx110}}

{xx110 \ {1x110, 00110}}
{xx0xx \ {11000, xx01x, 00010}}
{
   xx010xx110 \ {
   xx0101x110, xx01000110, xx010xx110, 00010xx110}}

{x0x10 \ {x0110, 00110, 00x10}, x0xxx \ {00x1x, 00101, 100x1}}
{x0xxx \ {00110, 10101, x00xx}, x1110 \ {01110}}
{
   x0x10x0x10 \ {
   x0x10x0110, x0x1000110, x0x1000x10, 00110x0x10, x0010x0x10}, x0xxxx0xxx \ {
   x0xx1x0xx0, x0xx0x0xx1, x0x1xx0x0x, x0x0xx0x1x, x0xxx00x1x, x0xxx00101, x0xxx100x1, 00110x0xxx, 10101x0xxx, x00xxx0xxx}, x1110x0x10 \ {
   x111000x10, 01110x0x10}}

{x1110 \ {11110, 01110}}
{x11x0 \ {011x0, 11110, 11100}}
{
   x1110x1110 \ {
   x111011110, x111001110, 01110x1110, 11110x1110}}

{100x1 \ {10001}, 0xxxx \ {01x01, 00x10, 0xxx1}}
{0x0x0 \ {00010, 0x010, 0x000}, 1xx0x \ {10001, 10101, 10000}}
{
   1xx0110001 \ {
   1xx0110001, 1000110001, 1010110001}, 0x0x00xxx0 \ {
   0x0100xx00, 0x0000xx10, 0x0x000x10, 000100xxx0, 0x0100xxx0, 0x0000xxx0}, 1xx0x0xx0x \ {
   1xx010xx00, 1xx000xx01, 1xx0x01x01, 1xx0x0xx01, 100010xx0x, 101010xx0x, 100000xx0x}}

{00x00 \ {00000, 00100}, 00x00 \ {00000, 00100}, 1xxx0 \ {10x10, 10000, 11x10}}
{01x1x \ {01010, 01x11, 01x11}}
{
   01x101xx10 \ {
   01x1010x10, 01x1011x10, 010101xx10}}

{00x0x \ {0000x, 00000, 00101}, x1101 \ {11101, 01101}}
{0x110 \ {01110, 00110, 00110}, 1x100 \ {11100, 10100}}
{
   1x10000x00 \ {
   1x10000000, 1x10000000, 1110000x00, 1010000x00}}

{1x0xx \ {1x001, 1100x, 11011}, x0x10 \ {10x10, 00110, x0110}}
{1101x \ {11010, 11011, 11011}, 00xxx \ {0000x, 00101, 00100}, x11x0 \ {01100, x1100, 111x0}}
{
   1101x1x01x \ {
   110111x010, 110101x011, 1101x11011, 110101x01x, 110111x01x, 110111x01x}, 00xxx1x0xx \ {
   00xx11x0x0, 00xx01x0x1, 00x1x1x00x, 00x0x1x01x, 00xxx1x001, 00xxx1100x, 00xxx11011, 0000x1x0xx, 001011x0xx, 001001x0xx}, x11x01x0x0 \ {
   x11101x000, x11001x010, x11x011000, 011001x0x0, x11001x0x0, 111x01x0x0}, 11010x0x10 \ {
   1101010x10, 1101000110, 11010x0110, 11010x0x10}, 00x10x0x10 \ {
   00x1010x10, 00x1000110, 00x10x0110}, x1110x0x10 \ {
   x111010x10, x111000110, x1110x0110, 11110x0x10}}

{xx111 \ {x1111, x0111, 01111}, 1xxxx \ {10111, 100x0, 11x00}}
{xx001 \ {00001, x1001, 01001}, 0x10x \ {00100, 0x100, 00101}}
{
   xx0011xx01 \ {
   000011xx01, x10011xx01, 010011xx01}, 0x10x1xx0x \ {
   0x1011xx00, 0x1001xx01, 0x10x10000, 0x10x11x00, 001001xx0x, 0x1001xx0x, 001011xx0x}}

{0xx11 \ {01011, 01111, 01x11}}
{x111x \ {x1111, 11111, 11110}}
{
   x11110xx11 \ {
   x111101011, x111101111, x111101x11, x11110xx11, 111110xx11}}

{x11x0 \ {011x0, 01110, x1110}, 01xx1 \ {01x01, 01011}}
{0xxxx \ {00001, 011x1, 0x011}, 1x0x0 \ {10010, 1x000, 110x0}}
{
   0xxx0x11x0 \ {
   0xx10x1100, 0xx00x1110, 0xxx0011x0, 0xxx001110, 0xxx0x1110}, 1x0x0x11x0 \ {
   1x010x1100, 1x000x1110, 1x0x0011x0, 1x0x001110, 1x0x0x1110, 10010x11x0, 1x000x11x0, 110x0x11x0}, 0xxx101xx1 \ {
   0xx1101x01, 0xx0101x11, 0xxx101x01, 0xxx101011, 0000101xx1, 011x101xx1, 0x01101xx1}}

{1x0xx \ {1x010, 11001, 10010}, 0x1x0 \ {0x110, 01110}}
{}
{}

{10x1x \ {10x11, 10010, 10010}}
{110x0 \ {11010, 11000}}
{
   1101010x10 \ {
   1101010010, 1101010010, 1101010x10}}

{01x1x \ {01x11, 01x10, 0101x}, 10xx1 \ {10001, 101x1}}
{xxx00 \ {10x00, 00000, 01000}, 110xx \ {1100x, 11001}}
{
   1101x01x1x \ {
   1101101x10, 1101001x11, 1101x01x11, 1101x01x10, 1101x0101x}, 110x110xx1 \ {
   1101110x01, 1100110x11, 110x110001, 110x1101x1, 1100110xx1, 1100110xx1}}

{}
{xx01x \ {11011, 1x010, 1x010}, 01x0x \ {01x00, 01000, 01x01}}
{}

{01x0x \ {01000, 01x01, 0100x}}
{01x10 \ {01010, 01110, 01110}, 1x1x1 \ {111x1, 1x101}}
{
   1x10101x01 \ {
   1x10101x01, 1x10101001, 1110101x01, 1x10101x01}}

{000xx \ {0000x, 00001, 000x0}}
{xx111 \ {0x111, 01111, 10111}, x1x1x \ {01011, 01x11, 11011}}
{
   xx11100011 \ {
   0x11100011, 0111100011, 1011100011}, x1x1x0001x \ {
   x1x1100010, x1x1000011, x1x1x00010, 010110001x, 01x110001x, 110110001x}}

{xx11x \ {00111, x1111, x0111}, x10xx \ {x10x0, 01001, 0101x}}
{x111x \ {11110, x1111, 01111}}
{
   x111xxx11x \ {
   x1111xx110, x1110xx111, x111x00111, x111xx1111, x111xx0111, 11110xx11x, x1111xx11x, 01111xx11x}, x111xx101x \ {
   x1111x1010, x1110x1011, x111xx1010, x111x0101x, 11110x101x, x1111x101x, 01111x101x}}

{}
{x1110 \ {01110, 11110, 11110}, x000x \ {10001, 1000x, 0000x}}
{}

{x0xx0 \ {100x0, x0x10, x0110}, 0x0xx \ {0101x, 00010, 0x011}}
{x00x1 \ {000x1, x0001, x0001}, 0x1xx \ {0x1x1, 0x11x, 0x1x0}, 10xxx \ {101x1, 10000, 10x01}}
{
   0x1x0x0xx0 \ {
   0x110x0x00, 0x100x0x10, 0x1x0100x0, 0x1x0x0x10, 0x1x0x0110, 0x110x0xx0, 0x1x0x0xx0}, 10xx0x0xx0 \ {
   10x10x0x00, 10x00x0x10, 10xx0100x0, 10xx0x0x10, 10xx0x0110, 10000x0xx0}, x00x10x0x1 \ {
   x00110x001, x00010x011, x00x101011, x00x10x011, 000x10x0x1, x00010x0x1, x00010x0x1}, 0x1xx0x0xx \ {
   0x1x10x0x0, 0x1x00x0x1, 0x11x0x00x, 0x10x0x01x, 0x1xx0101x, 0x1xx00010, 0x1xx0x011, 0x1x10x0xx, 0x11x0x0xx, 0x1x00x0xx}, 10xxx0x0xx \ {
   10xx10x0x0, 10xx00x0x1, 10x1x0x00x, 10x0x0x01x, 10xxx0101x, 10xxx00010, 10xxx0x011, 101x10x0xx, 100000x0xx, 10x010x0xx}}

{x000x \ {10001, 00000, 1000x}}
{}
{}

{0xxx0 \ {00x00, 00xx0, 0x0x0}}
{x1x0x \ {11x0x, 11101, x100x}, xxxxx \ {1xxx0, 0x101, 11000}, xxx10 \ {01010, 1xx10, 11x10}}
{
   x1x000xx00 \ {
   x1x0000x00, x1x0000x00, x1x000x000, 11x000xx00, x10000xx00}, xxxx00xxx0 \ {
   xxx100xx00, xxx000xx10, xxxx000x00, xxxx000xx0, xxxx00x0x0, 1xxx00xxx0, 110000xxx0}, xxx100xx10 \ {
   xxx1000x10, xxx100x010, 010100xx10, 1xx100xx10, 11x100xx10}}

{x0xx0 \ {00110, 101x0, x0010}, 1xx10 \ {11010, 10x10, 10010}}
{0x10x \ {01100, 0110x, 00100}, 0x11x \ {00111, 00110, 0x111}}
{
   0x100x0x00 \ {
   0x10010100, 01100x0x00, 01100x0x00, 00100x0x00}, 0x110x0x10 \ {
   0x11000110, 0x11010110, 0x110x0010, 00110x0x10}, 0x1101xx10 \ {
   0x11011010, 0x11010x10, 0x11010010, 001101xx10}}

{x1x10 \ {11x10, 11110, x1010}, x10xx \ {010xx, x100x, 01001}}
{}
{}

{0x1xx \ {001xx, 01100}, x110x \ {x1100, 1110x, 0110x}}
{10x00 \ {10100}}
{
   10x000x100 \ {
   10x0000100, 10x0001100, 101000x100}, 10x00x1100 \ {
   10x00x1100, 10x0011100, 10x0001100, 10100x1100}}

{x00xx \ {100x0, 00001, 10000}}
{xx00x \ {11001, 00000, xx000}}
{
   xx00xx000x \ {
   xx001x0000, xx000x0001, xx00x10000, xx00x00001, xx00x10000, 11001x000x, 00000x000x, xx000x000x}}

{x00xx \ {x00x0, x001x}, 0010x \ {00101, 00100}, 011xx \ {011x0, 01100, 01100}}
{01xxx \ {0111x, 0110x, 011x0}, x001x \ {10011, 00010}, xxx0x \ {00100, 01x01, 11x0x}}
{
   01xxxx00xx \ {
   01xx1x00x0, 01xx0x00x1, 01x1xx000x, 01x0xx001x, 01xxxx00x0, 01xxxx001x, 0111xx00xx, 0110xx00xx, 011x0x00xx}, x001xx001x \ {
   x0011x0010, x0010x0011, x001xx0010, x001xx001x, 10011x001x, 00010x001x}, xxx0xx000x \ {
   xxx01x0000, xxx00x0001, xxx0xx0000, 00100x000x, 01x01x000x, 11x0xx000x}, 01x0x0010x \ {
   01x0100100, 01x0000101, 01x0x00101, 01x0x00100, 0110x0010x, 011000010x}, xxx0x0010x \ {
   xxx0100100, xxx0000101, xxx0x00101, xxx0x00100, 001000010x, 01x010010x, 11x0x0010x}, 01xxx011xx \ {
   01xx1011x0, 01xx0011x1, 01x1x0110x, 01x0x0111x, 01xxx011x0, 01xxx01100, 01xxx01100, 0111x011xx, 0110x011xx, 011x0011xx}, x001x0111x \ {
   x001101110, x001001111, x001x01110, 100110111x, 000100111x}, xxx0x0110x \ {
   xxx0101100, xxx0001101, xxx0x01100, xxx0x01100, xxx0x01100, 001000110x, 01x010110x, 11x0x0110x}}

{10xx1 \ {10111, 10001, 101x1}, 0111x \ {01110, 01111, 01111}, 010xx \ {010x1, 01000, 01011}}
{1xx1x \ {11x10, 1x110}}
{
   1xx1110x11 \ {
   1xx1110111, 1xx1110111}, 1xx1x0111x \ {
   1xx1101110, 1xx1001111, 1xx1x01110, 1xx1x01111, 1xx1x01111, 11x100111x, 1x1100111x}, 1xx1x0101x \ {
   1xx1101010, 1xx1001011, 1xx1x01011, 1xx1x01011, 11x100101x, 1x1100101x}}

{x1xxx \ {x111x, 11000, 0111x}}
{0xx1x \ {0x111, 00111, 00010}}
{
   0xx1xx1x1x \ {
   0xx11x1x10, 0xx10x1x11, 0xx1xx111x, 0xx1x0111x, 0x111x1x1x, 00111x1x1x, 00010x1x1x}}

{00xxx \ {001x0, 0010x, 00x11}}
{}
{}

{1x11x \ {1x111, 1x110, 1111x}}
{0x0xx \ {0x00x, 0x0x1, 0100x}, x1000 \ {01000, 11000}}
{
   0x01x1x11x \ {
   0x0111x110, 0x0101x111, 0x01x1x111, 0x01x1x110, 0x01x1111x, 0x0111x11x}}

{111xx \ {11101, 11110, 11111}, xxx10 \ {01x10, 11010, 01110}}
{x1x10 \ {01x10, x1110, 01110}}
{
   x1x1011110 \ {
   x1x1011110, 01x1011110, x111011110, 0111011110}, x1x10xxx10 \ {
   x1x1001x10, x1x1011010, x1x1001110, 01x10xxx10, x1110xxx10, 01110xxx10}}

{x0xx1 \ {x01x1, 10011}, x00x1 \ {10001, x0001}}
{100xx \ {1000x, 10010, 10011}}
{
   100x1x0xx1 \ {
   10011x0x01, 10001x0x11, 100x1x01x1, 100x110011, 10001x0xx1, 10011x0xx1}, 100x1x00x1 \ {
   10011x0001, 10001x0011, 100x110001, 100x1x0001, 10001x00x1, 10011x00x1}}

{}
{}
{}

{11xxx \ {11101, 11x11, 11x10}}
{xxx1x \ {0011x, 11x10, x0x1x}}
{
   xxx1x11x1x \ {
   xxx1111x10, xxx1011x11, xxx1x11x11, xxx1x11x10, 0011x11x1x, 11x1011x1x, x0x1x11x1x}}

{xxx1x \ {xxx11, 01x1x, 11x10}}
{xxxx0 \ {10x10, 01x10, x11x0}, xx011 \ {x0011, 01011, x1011}}
{
   xxx10xxx10 \ {
   xxx1001x10, xxx1011x10, 10x10xxx10, 01x10xxx10, x1110xxx10}, xx011xxx11 \ {
   xx011xxx11, xx01101x11, x0011xxx11, 01011xxx11, x1011xxx11}}

{x101x \ {01011, 1101x, 0101x}, 0x11x \ {0x111, 0011x, 01111}}
{011x1 \ {01101, 01111}}
{
   01111x1011 \ {
   0111101011, 0111111011, 0111101011, 01111x1011}, 011110x111 \ {
   011110x111, 0111100111, 0111101111, 011110x111}}

{}
{1xxxx \ {110x0, 11011, 1001x}, x0001 \ {00001, 10001, 10001}}
{}

{11xxx \ {1111x, 11x1x, 110xx}, 1x11x \ {10111, 1111x}, 1xx10 \ {11x10, 1x010}}
{}
{}

{010xx \ {01000, 010x1}}
{0x01x \ {0x010, 0101x}}
{
   0x01x0101x \ {
   0x01101010, 0x01001011, 0x01x01011, 0x0100101x, 0101x0101x}}

{x1x0x \ {x100x, 01x0x, 01101}}
{0xxx0 \ {0x010, 001x0, 00000}, 101x0 \ {10110}}
{
   0xx00x1x00 \ {
   0xx00x1000, 0xx0001x00, 00100x1x00, 00000x1x00}, 10100x1x00 \ {
   10100x1000, 1010001x00}}

{0x1x0 \ {001x0, 0x110, 01100}}
{0x0x1 \ {01011, 000x1, 010x1}}
{}

{xx010 \ {0x010, 11010, 01010}, x1101 \ {11101, 01101}}
{x1x1x \ {x1010, 0111x, 01x1x}}
{
   x1x10xx010 \ {
   x1x100x010, x1x1011010, x1x1001010, x1010xx010, 01110xx010, 01x10xx010}}

{x10xx \ {11001, 0101x, 010xx}, x100x \ {0100x, 11000, 11000}}
{1x01x \ {1x011, 11011, 10011}, 111x1 \ {11111}}
{
   1x01xx101x \ {
   1x011x1010, 1x010x1011, 1x01x0101x, 1x01x0101x, 1x011x101x, 11011x101x, 10011x101x}, 111x1x10x1 \ {
   11111x1001, 11101x1011, 111x111001, 111x101011, 111x1010x1, 11111x10x1}, 11101x1001 \ {
   1110101001}}

{xx100 \ {x1100, x0100, x0100}}
{x11x1 \ {111x1, 011x1}, 1111x \ {11110, 11111}, 01x1x \ {0101x, 01111}}
{}

{00xx0 \ {00x10, 00x00, 00110}, xxx11 \ {x0011, x1011, xx011}}
{0xx00 \ {00x00, 0x000, 0x100}, 1x10x \ {10101, 11101, 11101}}
{
   0xx0000x00 \ {
   0xx0000x00, 00x0000x00, 0x00000x00, 0x10000x00}, 1x10000x00 \ {
   1x10000x00}}

{1xx10 \ {10x10, 10110, 10110}, 1xx00 \ {11100, 1x000, 1x100}}
{xx01x \ {00010, 11011, x001x}}
{
   xx0101xx10 \ {
   xx01010x10, xx01010110, xx01010110, 000101xx10, x00101xx10}}

{}
{1x00x \ {1x001, 11000, 11001}}
{}

{x0x0x \ {10101, 1000x, x0001}}
{1xxx1 \ {11111, 11001, 101x1}}
{
   1xx01x0x01 \ {
   1xx0110101, 1xx0110001, 1xx01x0001, 11001x0x01, 10101x0x01}}

{11x0x \ {11x00, 1100x, 11100}}
{xx110 \ {11110, 01110, 01110}}
{}

{x010x \ {10101, 0010x, x0101}, x1x0x \ {x1001, 01100, x1x01}}
{1010x \ {10100}, 000x1 \ {00011, 00001}}
{
   1010xx010x \ {
   10101x0100, 10100x0101, 1010x10101, 1010x0010x, 1010xx0101, 10100x010x}, 00001x0101 \ {
   0000110101, 0000100101, 00001x0101, 00001x0101}, 1010xx1x0x \ {
   10101x1x00, 10100x1x01, 1010xx1001, 1010x01100, 1010xx1x01, 10100x1x0x}, 00001x1x01 \ {
   00001x1001, 00001x1x01, 00001x1x01}}

{xx011 \ {0x011, 00011, 1x011}}
{0011x \ {00111}, 00xxx \ {00110, 00x0x, 00011}, x0x0x \ {00101, 10000, 10101}}
{
   00111xx011 \ {
   001110x011, 0011100011, 001111x011, 00111xx011}, 00x11xx011 \ {
   00x110x011, 00x1100011, 00x111x011, 00011xx011}}

{1x11x \ {1x111, 11110}, xx01x \ {1x010, 0001x, 11010}, x0x10 \ {00x10, 10110}}
{xx1x1 \ {x0111, 0x1x1, 10111}, xx0x1 \ {11011, 1x001, 01011}}
{
   xx1111x111 \ {
   xx1111x111, x01111x111, 0x1111x111, 101111x111}, xx0111x111 \ {
   xx0111x111, 110111x111, 010111x111}, xx111xx011 \ {
   xx11100011, x0111xx011, 0x111xx011, 10111xx011}, xx011xx011 \ {
   xx01100011, 11011xx011, 01011xx011}}

{xx0x0 \ {100x0, 11010, 0x010}}
{1x00x \ {1x000, 1000x, 11000}, 110x1 \ {11001}, 01xx1 \ {01001, 011x1, 01101}}
{
   1x000xx000 \ {
   1x00010000, 1x000xx000, 10000xx000, 11000xx000}}

{1x1x1 \ {101x1, 11101, 11101}}
{x0x11 \ {10011, 00x11, 10111}, 10xxx \ {10xx0, 10110, 10010}}
{
   x0x111x111 \ {
   x0x1110111, 100111x111, 00x111x111, 101111x111}, 10xx11x1x1 \ {
   10x111x101, 10x011x111, 10xx1101x1, 10xx111101, 10xx111101}}

{0xx00 \ {0x000, 00100, 01x00}, 0x00x \ {0x001, 01000, 01000}}
{10xxx \ {10001, 10x01, 10x00}}
{
   10x000xx00 \ {
   10x000x000, 10x0000100, 10x0001x00, 10x000xx00}, 10x0x0x00x \ {
   10x010x000, 10x000x001, 10x0x0x001, 10x0x01000, 10x0x01000, 100010x00x, 10x010x00x, 10x000x00x}}

{011xx \ {0111x, 011x1, 011x0}, 11xx0 \ {11010, 110x0, 11x10}}
{111xx \ {11100, 111x1}, 01xx0 \ {01x10, 011x0}, 0x1x0 \ {0x100, 00100, 01110}}
{
   111xx011xx \ {
   111x1011x0, 111x0011x1, 1111x0110x, 1110x0111x, 111xx0111x, 111xx011x1, 111xx011x0, 11100011xx, 111x1011xx}, 01xx0011x0 \ {
   01x1001100, 01x0001110, 01xx001110, 01xx0011x0, 01x10011x0, 011x0011x0}, 0x1x0011x0 \ {
   0x11001100, 0x10001110, 0x1x001110, 0x1x0011x0, 0x100011x0, 00100011x0, 01110011x0}, 111x011xx0 \ {
   1111011x00, 1110011x10, 111x011010, 111x0110x0, 111x011x10, 1110011xx0}, 01xx011xx0 \ {
   01x1011x00, 01x0011x10, 01xx011010, 01xx0110x0, 01xx011x10, 01x1011xx0, 011x011xx0}, 0x1x011xx0 \ {
   0x11011x00, 0x10011x10, 0x1x011010, 0x1x0110x0, 0x1x011x10, 0x10011xx0, 0010011xx0, 0111011xx0}}

{xx100 \ {x1100, 1x100, 11100}}
{x0x0x \ {00001, 00x01, 00x0x}}
{
   x0x00xx100 \ {
   x0x00x1100, x0x001x100, x0x0011100, 00x00xx100}}

{}
{x11xx \ {x111x, x110x, 1111x}}
{}

{xx0xx \ {xx01x, 10010, xx00x}, xx0xx \ {1x0x1, 01001, x00x0}}
{01xxx \ {01111, 010x1, 011x0}}
{
   01xxxxx0xx \ {
   01xx1xx0x0, 01xx0xx0x1, 01x1xxx00x, 01x0xxx01x, 01xxxxx01x, 01xxx10010, 01xxxxx00x, 01111xx0xx, 010x1xx0xx, 011x0xx0xx}, 01xxxxx0xx \ {
   01xx1xx0x0, 01xx0xx0x1, 01x1xxx00x, 01x0xxx01x, 01xxx1x0x1, 01xxx01001, 01xxxx00x0, 01111xx0xx, 010x1xx0xx, 011x0xx0xx}}

{1xxxx \ {1x00x, 1001x, 1000x}, 01xx1 \ {01001, 01011, 01x11}, 0xx0x \ {00x01, 0x00x, 01100}}
{0xx00 \ {01x00, 01100, 00000}, x0xx0 \ {10100, 00x10, x0010}, x1100 \ {01100, 11100, 11100}}
{
   0xx001xx00 \ {
   0xx001x000, 0xx0010000, 01x001xx00, 011001xx00, 000001xx00}, x0xx01xxx0 \ {
   x0x101xx00, x0x001xx10, x0xx01x000, x0xx010010, x0xx010000, 101001xxx0, 00x101xxx0, x00101xxx0}, x11001xx00 \ {
   x11001x000, x110010000, 011001xx00, 111001xx00, 111001xx00}, 0xx000xx00 \ {
   0xx000x000, 0xx0001100, 01x000xx00, 011000xx00, 000000xx00}, x0x000xx00 \ {
   x0x000x000, x0x0001100, 101000xx00}, x11000xx00 \ {
   x11000x000, x110001100, 011000xx00, 111000xx00, 111000xx00}}

{xx01x \ {1101x, 0x01x, x0010}, 1001x \ {10010, 10011}}
{10xxx \ {10010, 100x0, 10011}}
{
   10x1xxx01x \ {
   10x11xx010, 10x10xx011, 10x1x1101x, 10x1x0x01x, 10x1xx0010, 10010xx01x, 10010xx01x, 10011xx01x}, 10x1x1001x \ {
   10x1110010, 10x1010011, 10x1x10010, 10x1x10011, 100101001x, 100101001x, 100111001x}}

{10x01 \ {10101}}
{1xx1x \ {11011, 10111, 11x10}}
{}

{x0100 \ {10100}}
{x10xx \ {x10x0, 010x0, x1011}}
{
   x1000x0100 \ {
   x100010100, x1000x0100, 01000x0100}}

{x0xx0 \ {10x10, x0x10, 10xx0}}
{0x1x1 \ {01101, 0x111}, x01x0 \ {10100, 00110, 00110}}
{
   x01x0x0xx0 \ {
   x0110x0x00, x0100x0x10, x01x010x10, x01x0x0x10, x01x010xx0, 10100x0xx0, 00110x0xx0, 00110x0xx0}}

{1x1x0 \ {10100, 11110, 11100}, 111xx \ {11100, 11101, 1110x}}
{x01xx \ {00110, 001xx, 10100}}
{
   x01x01x1x0 \ {
   x01101x100, x01001x110, x01x010100, x01x011110, x01x011100, 001101x1x0, 001x01x1x0, 101001x1x0}, x01xx111xx \ {
   x01x1111x0, x01x0111x1, x011x1110x, x010x1111x, x01xx11100, x01xx11101, x01xx1110x, 00110111xx, 001xx111xx, 10100111xx}}

{0xx11 \ {0x011, 01111, 00x11}, x11xx \ {x1100, 111x1, 01101}}
{1100x \ {11000}, xx0x1 \ {xx001, 1x001, x0011}}
{
   xx0110xx11 \ {
   xx0110x011, xx01101111, xx01100x11, x00110xx11}, 1100xx110x \ {
   11001x1100, 11000x1101, 1100xx1100, 1100x11101, 1100x01101, 11000x110x}, xx0x1x11x1 \ {
   xx011x1101, xx001x1111, xx0x1111x1, xx0x101101, xx001x11x1, 1x001x11x1, x0011x11x1}}

{001xx \ {001x0, 00100, 00111}, 1xxxx \ {111x1, 10xx1, 11111}, 0x010 \ {01010, 00010, 00010}}
{1xx00 \ {1x000, 11100, 10x00}}
{
   1xx0000100 \ {
   1xx0000100, 1xx0000100, 1x00000100, 1110000100, 10x0000100}, 1xx001xx00 \ {
   1x0001xx00, 111001xx00, 10x001xx00}}

{}
{}
{}

{xx0x0 \ {x1010, 0x010, 00010}}
{1x0xx \ {10010, 11011, 1x011}}
{
   1x0x0xx0x0 \ {
   1x010xx000, 1x000xx010, 1x0x0x1010, 1x0x00x010, 1x0x000010, 10010xx0x0}}

{11xxx \ {1100x, 11001, 11001}, 1x011 \ {11011, 10011}, 00x0x \ {0010x, 00000, 00101}}
{1x0xx \ {10000, 11010}}
{
   1x0xx11xxx \ {
   1x0x111xx0, 1x0x011xx1, 1x01x11x0x, 1x00x11x1x, 1x0xx1100x, 1x0xx11001, 1x0xx11001, 1000011xxx, 1101011xxx}, 1x0111x011 \ {
   1x01111011, 1x01110011}, 1x00x00x0x \ {
   1x00100x00, 1x00000x01, 1x00x0010x, 1x00x00000, 1x00x00101, 1000000x0x}}

{x1111 \ {11111, 01111, 01111}, 11xx1 \ {11101, 11001}}
{x1xxx \ {11100, x100x, 11xx1}}
{
   x1x11x1111 \ {
   x1x1111111, x1x1101111, x1x1101111, 11x11x1111}, x1xx111xx1 \ {
   x1x1111x01, x1x0111x11, x1xx111101, x1xx111001, x100111xx1, 11xx111xx1}}

{x0xx1 \ {x0011, 00x01, 00x01}}
{}
{}

{000x1 \ {00011}, 01x0x \ {0100x, 01001, 0110x}}
{01x11 \ {01011, 01111, 01111}, xx111 \ {11111, x0111, 01111}}
{
   01x1100011 \ {
   01x1100011, 0101100011, 0111100011, 0111100011}, xx11100011 \ {
   xx11100011, 1111100011, x011100011, 0111100011}}

{11xx0 \ {11x10, 11x00, 110x0}}
{x1x1x \ {x1110, 0111x, x111x}, 10x0x \ {1000x, 10000, 10000}}
{
   x1x1011x10 \ {
   x1x1011x10, x1x1011010, x111011x10, 0111011x10, x111011x10}, 10x0011x00 \ {
   10x0011x00, 10x0011000, 1000011x00, 1000011x00, 1000011x00}}

{xx0x1 \ {01001, x0011, xx001}}
{0011x \ {00111, 00110, 00110}, 1xxx0 \ {10xx0, 10100, 10x00}}
{
   00111xx011 \ {
   00111x0011, 00111xx011}}

{xx0x0 \ {100x0, 1x000, x00x0}, x1000 \ {01000, 11000, 11000}}
{}
{}

{xx001 \ {0x001, x1001, 11001}}
{1x11x \ {1x111, 10110}}
{}

{010xx \ {01011, 01001, 01010}, 1xx01 \ {10001, 11x01, 11x01}}
{x10xx \ {x1011, x101x}}
{
   x10xx010xx \ {
   x10x1010x0, x10x0010x1, x101x0100x, x100x0101x, x10xx01011, x10xx01001, x10xx01010, x1011010xx, x101x010xx}, x10011xx01 \ {
   x100110001, x100111x01, x100111x01}}

{}
{1x0x0 \ {11010, 11000, 110x0}}
{}

{}
{0xx0x \ {01x0x, 00x0x, 01000}, x1000 \ {11000, 01000}}
{}

{}
{10x00 \ {10100, 10000}}
{}

{}
{x11xx \ {1111x, 111xx, 111xx}}
{}

{xxxxx \ {0xx0x, x0101, 0xxx0}, 01xxx \ {01111, 011x0, 01x01}}
{x110x \ {01100, 1110x}, 10x1x \ {10111, 10x10}}
{
   x110xxxx0x \ {
   x1101xxx00, x1100xxx01, x110x0xx0x, x110xx0101, x110x0xx00, 01100xxx0x, 1110xxxx0x}, 10x1xxxx1x \ {
   10x11xxx10, 10x10xxx11, 10x1x0xx10, 10111xxx1x, 10x10xxx1x}, x110x01x0x \ {
   x110101x00, x110001x01, x110x01100, x110x01x01, 0110001x0x, 1110x01x0x}, 10x1x01x1x \ {
   10x1101x10, 10x1001x11, 10x1x01111, 10x1x01110, 1011101x1x, 10x1001x1x}}

{}
{1x1x0 \ {111x0, 10100, 1x100}, 000x1 \ {00001, 00011, 00011}}
{}

{xx11x \ {xx111, 1x111, 11110}}
{x1x10 \ {01110, x1110}, 0001x \ {00010, 00011}}
{
   x1x10xx110 \ {
   x1x1011110, 01110xx110, x1110xx110}, 0001xxx11x \ {
   00011xx110, 00010xx111, 0001xxx111, 0001x1x111, 0001x11110, 00010xx11x, 00011xx11x}}

{}
{xx1x0 \ {101x0, 0x1x0, 111x0}}
{}

{0x010 \ {01010, 00010}, x110x \ {0110x, 01101}}
{0x1xx \ {00101, 0x111, 0x100}, x0x1x \ {x0x10, x0010, 10111}}
{
   0x1100x010 \ {
   0x11001010, 0x11000010}, x0x100x010 \ {
   x0x1001010, x0x1000010, x0x100x010, x00100x010}, 0x10xx110x \ {
   0x101x1100, 0x100x1101, 0x10x0110x, 0x10x01101, 00101x110x, 0x100x110x}}

{0101x \ {01010, 01011, 01011}}
{xx01x \ {01011, 0001x, 1001x}, xxxx1 \ {x10x1, 1x0x1, xx001}, 00xxx \ {000x0, 00011, 000x1}}
{
   xx01x0101x \ {
   xx01101010, xx01001011, xx01x01010, xx01x01011, xx01x01011, 010110101x, 0001x0101x, 1001x0101x}, xxx1101011 \ {
   xxx1101011, xxx1101011, x101101011, 1x01101011}, 00x1x0101x \ {
   00x1101010, 00x1001011, 00x1x01010, 00x1x01011, 00x1x01011, 000100101x, 000110101x, 000110101x}}

{x0x01 \ {00001, 10001, 10101}, x1010 \ {11010, 01010}}
{x0x1x \ {10x1x, 10010}, 010x0 \ {01010, 01000}, xxx00 \ {x0000, x0x00, 00100}}
{
   x0x10x1010 \ {
   x0x1011010, x0x1001010, 10x10x1010, 10010x1010}, 01010x1010 \ {
   0101011010, 0101001010, 01010x1010}}

{x0x0x \ {0010x, x000x, x0000}, 0xxxx \ {0xxx0, 0x0x0, 0011x}}
{101xx \ {101x0, 10110, 10100}}
{
   1010xx0x0x \ {
   10101x0x00, 10100x0x01, 1010x0010x, 1010xx000x, 1010xx0000, 10100x0x0x, 10100x0x0x}, 101xx0xxxx \ {
   101x10xxx0, 101x00xxx1, 1011x0xx0x, 1010x0xx1x, 101xx0xxx0, 101xx0x0x0, 101xx0011x, 101x00xxxx, 101100xxxx, 101000xxxx}}

{1xx00 \ {11x00, 1x000, 10000}, 0xx1x \ {0x011, 0x110, 00111}}
{xx010 \ {1x010, 00010, 0x010}, 1xxx0 \ {10010, 10110, 110x0}}
{
   1xx001xx00 \ {
   1xx0011x00, 1xx001x000, 1xx0010000, 110001xx00}, xx0100xx10 \ {
   xx0100x110, 1x0100xx10, 000100xx10, 0x0100xx10}, 1xx100xx10 \ {
   1xx100x110, 100100xx10, 101100xx10, 110100xx10}}

{x00xx \ {1000x, 10001, 00000}, x0x1x \ {1001x, 10110}, 1xx10 \ {11010, 11x10}}
{1xx10 \ {10x10, 10010}}
{
   1xx10x0010 \ {
   10x10x0010, 10010x0010}, 1xx10x0x10 \ {
   1xx1010010, 1xx1010110, 10x10x0x10, 10010x0x10}, 1xx101xx10 \ {
   1xx1011010, 1xx1011x10, 10x101xx10, 100101xx10}}

{0x010 \ {00010, 01010}}
{x100x \ {01000, 11000, 11000}, x100x \ {11000, 01001}}
{}

{}
{1x1x1 \ {10111, 11111}}
{}

{10x11 \ {10111, 10011}}
{1000x \ {10001, 10000}}
{}

{x00xx \ {10011, x00x0, 100x1}, xxxx1 \ {0x0x1, x1001, xx111}}
{xx010 \ {x0010, 1x010, 1x010}, xxx01 \ {11101, 11x01, 10001}}
{
   xx010x0010 \ {
   xx010x0010, x0010x0010, 1x010x0010, 1x010x0010}, xxx01x0001 \ {
   xxx0110001, 11101x0001, 11x01x0001, 10001x0001}, xxx01xxx01 \ {
   xxx010x001, xxx01x1001, 11101xxx01, 11x01xxx01, 10001xxx01}}

{1x0xx \ {1000x, 10011, 110x1}, xx011 \ {x0011, 00011, 1x011}}
{0x1xx \ {001x1, 00110, 0x1x0}}
{
   0x1xx1x0xx \ {
   0x1x11x0x0, 0x1x01x0x1, 0x11x1x00x, 0x10x1x01x, 0x1xx1000x, 0x1xx10011, 0x1xx110x1, 001x11x0xx, 001101x0xx, 0x1x01x0xx}, 0x111xx011 \ {
   0x111x0011, 0x11100011, 0x1111x011, 00111xx011}}

{xx101 \ {11101, 0x101, x0101}}
{x1xxx \ {11x0x, 0110x, 11xx0}, 10xxx \ {10xx1, 100x1, 10xx0}}
{
   x1x01xx101 \ {
   x1x0111101, x1x010x101, x1x01x0101, 11x01xx101, 01101xx101}, 10x01xx101 \ {
   10x0111101, 10x010x101, 10x01x0101, 10x01xx101, 10001xx101}}

{01x0x \ {0100x, 01001}}
{}
{}

{0x11x \ {0x111, 00111, 00111}}
{x01x0 \ {x0100, 00100, 001x0}}
{
   x01100x110 \ {
   001100x110}}

{10xx0 \ {10x10, 100x0, 10000}, xx0x1 \ {x0001, xx011, 1x011}}
{x1x0x \ {x1x01, 1100x, 11x01}, x1xxx \ {01x01, 01xx0, 01x10}, x1101 \ {01101, 11101}}
{
   x1x0010x00 \ {
   x1x0010000, x1x0010000, 1100010x00}, x1xx010xx0 \ {
   x1x1010x00, x1x0010x10, x1xx010x10, x1xx0100x0, x1xx010000, 01xx010xx0, 01x1010xx0}, x1x01xx001 \ {
   x1x01x0001, x1x01xx001, 11001xx001, 11x01xx001}, x1xx1xx0x1 \ {
   x1x11xx001, x1x01xx011, x1xx1x0001, x1xx1xx011, x1xx11x011, 01x01xx0x1}, x1101xx001 \ {
   x1101x0001, 01101xx001, 11101xx001}}

{x0001 \ {10001, 00001, 00001}}
{x10xx \ {110x1, 0100x, 110xx}, x1xx0 \ {110x0, 11x10, x10x0}, 0x010 \ {00010, 01010}}
{
   x1001x0001 \ {
   x100110001, x100100001, x100100001, 11001x0001, 01001x0001, 11001x0001}}

{00xxx \ {00001, 00x0x, 00x0x}, 00xx0 \ {00x00, 00010}, x0x10 \ {10010, 00110, 00110}}
{0x0xx \ {0100x, 0x01x, 0x00x}, 0x00x \ {0100x, 00000}}
{
   0x0xx00xxx \ {
   0x0x100xx0, 0x0x000xx1, 0x01x00x0x, 0x00x00x1x, 0x0xx00001, 0x0xx00x0x, 0x0xx00x0x, 0100x00xxx, 0x01x00xxx, 0x00x00xxx}, 0x00x00x0x \ {
   0x00100x00, 0x00000x01, 0x00x00001, 0x00x00x0x, 0x00x00x0x, 0100x00x0x, 0000000x0x}, 0x0x000xx0 \ {
   0x01000x00, 0x00000x10, 0x0x000x00, 0x0x000010, 0100000xx0, 0x01000xx0, 0x00000xx0}, 0x00000x00 \ {
   0x00000x00, 0100000x00, 0000000x00}, 0x010x0x10 \ {
   0x01010010, 0x01000110, 0x01000110, 0x010x0x10}}

{x10xx \ {x1011, 110x0, 01010}}
{xxx0x \ {11001, 0x101, 1110x}, x0010 \ {00010}, 0xxx0 \ {0x100, 011x0, 0x0x0}}
{
   xxx0xx100x \ {
   xxx01x1000, xxx00x1001, xxx0x11000, 11001x100x, 0x101x100x, 1110xx100x}, x0010x1010 \ {
   x001011010, x001001010, 00010x1010}, 0xxx0x10x0 \ {
   0xx10x1000, 0xx00x1010, 0xxx0110x0, 0xxx001010, 0x100x10x0, 011x0x10x0, 0x0x0x10x0}}

{00x10 \ {00010}}
{0xx11 \ {01x11, 01111, 01111}, 0xx1x \ {01x11, 0111x, 00110}, 011x0 \ {01100}}
{
   0xx1000x10 \ {
   0xx1000010, 0111000x10, 0011000x10}, 0111000x10 \ {
   0111000010}}

{x0x1x \ {0011x, x0110, 10x1x}}
{x01xx \ {x0100, 00101, 10100}}
{
   x011xx0x1x \ {
   x0111x0x10, x0110x0x11, x011x0011x, x011xx0110, x011x10x1x}}

{x0x00 \ {10000, x0100, 10x00}, 001xx \ {001x1, 00100}}
{00x0x \ {0010x}, xx111 \ {x1111}}
{
   00x00x0x00 \ {
   00x0010000, 00x00x0100, 00x0010x00, 00100x0x00}, 00x0x0010x \ {
   00x0100100, 00x0000101, 00x0x00101, 00x0x00100, 0010x0010x}, xx11100111 \ {
   xx11100111, x111100111}}

{xx01x \ {0x011, 0x010, 11010}}
{0xx1x \ {0001x, 0011x, 00111}}
{
   0xx1xxx01x \ {
   0xx11xx010, 0xx10xx011, 0xx1x0x011, 0xx1x0x010, 0xx1x11010, 0001xxx01x, 0011xxx01x, 00111xx01x}}

{0x01x \ {01011, 00010}, xx100 \ {1x100, x1100}}
{x1x00 \ {01100, x1100, 11x00}}
{
   x1x00xx100 \ {
   x1x001x100, x1x00x1100, 01100xx100, x1100xx100, 11x00xx100}}

{1x0xx \ {110x0, 1001x, 1x011}}
{1xx00 \ {10000, 11x00, 1x100}, 0x10x \ {00101, 0110x, 0x101}, 1xxx1 \ {1x111, 10011, 1xx01}}
{
   1xx001x000 \ {
   1xx0011000, 100001x000, 11x001x000, 1x1001x000}, 0x10x1x00x \ {
   0x1011x000, 0x1001x001, 0x10x11000, 001011x00x, 0110x1x00x, 0x1011x00x}, 1xxx11x0x1 \ {
   1xx111x001, 1xx011x011, 1xxx110011, 1xxx11x011, 1x1111x0x1, 100111x0x1, 1xx011x0x1}}

{x01x1 \ {001x1, 10101, 101x1}}
{xxxx1 \ {xx111, 1x0x1, x01x1}}
{
   xxxx1x01x1 \ {
   xxx11x0101, xxx01x0111, xxxx1001x1, xxxx110101, xxxx1101x1, xx111x01x1, 1x0x1x01x1, x01x1x01x1}}

{x1xx1 \ {11111, x1111, 11011}}
{0101x \ {01010, 01011}, xx010 \ {11010, 01010, 00010}}
{
   01011x1x11 \ {
   0101111111, 01011x1111, 0101111011, 01011x1x11}}

{x110x \ {x1101, 0110x, x1100}, 0x0x0 \ {01000, 010x0, 0x010}}
{1x0x0 \ {100x0, 110x0, 10010}}
{
   1x000x1100 \ {
   1x00001100, 1x000x1100, 10000x1100, 11000x1100}, 1x0x00x0x0 \ {
   1x0100x000, 1x0000x010, 1x0x001000, 1x0x0010x0, 1x0x00x010, 100x00x0x0, 110x00x0x0, 100100x0x0}}

{01x1x \ {01x11, 0101x, 01x10}}
{11x1x \ {11x10, 11x11}, 110x1 \ {11001}}
{
   11x1x01x1x \ {
   11x1101x10, 11x1001x11, 11x1x01x11, 11x1x0101x, 11x1x01x10, 11x1001x1x, 11x1101x1x}, 1101101x11 \ {
   1101101x11, 1101101011}}

{x10x0 \ {x1000, 11010, x1010}, x010x \ {x0100, 00100, x0101}}
{xx011 \ {01011, 0x011}}
{}

{x0x10 \ {00x10, 10x10, 10010}}
{xxx1x \ {x0111, 11111, x001x}, xx0x1 \ {11001, 110x1, xx001}, x001x \ {10011, 00010}}
{
   xxx10x0x10 \ {
   xxx1000x10, xxx1010x10, xxx1010010, x0010x0x10}, x0010x0x10 \ {
   x001000x10, x001010x10, x001010010, 00010x0x10}}

{0x110 \ {00110, 01110}, x11x0 \ {01110, 01100, x1100}}
{00xx1 \ {000x1, 00x11, 001x1}, 100x0 \ {10010, 10000}}
{
   100100x110 \ {
   1001000110, 1001001110, 100100x110}, 100x0x11x0 \ {
   10010x1100, 10000x1110, 100x001110, 100x001100, 100x0x1100, 10010x11x0, 10000x11x0}}

{1x10x \ {11100, 11101}, 0x1x0 \ {001x0, 0x100, 0x100}}
{}
{}

{xx0x1 \ {xx011, xx001, 110x1}, x1010 \ {01010, 11010}}
{x11xx \ {1111x, 11101, 11100}}
{
   x11x1xx0x1 \ {
   x1111xx001, x1101xx011, x11x1xx011, x11x1xx001, x11x1110x1, 11111xx0x1, 11101xx0x1}, x1110x1010 \ {
   x111001010, x111011010, 11110x1010}}

{x000x \ {00001, 10001}, 10xx1 \ {10x01, 10001, 10x11}}
{x10x0 \ {01000, 01010, 11000}, 0x110 \ {01110, 00110}}
{
   x1000x0000 \ {
   01000x0000, 11000x0000}}

{110xx \ {110x1, 11010}}
{0x110 \ {01110, 00110, 00110}, x1100 \ {11100, 01100}}
{
   0x11011010 \ {
   0x11011010, 0111011010, 0011011010, 0011011010}, x110011000 \ {
   1110011000, 0110011000}}

{1xx1x \ {11111, 1101x, 1x011}}
{}
{}

{1011x \ {10111}}
{0x1xx \ {011xx, 0011x}}
{
   0x11x1011x \ {
   0x11110110, 0x11010111, 0x11x10111, 0111x1011x, 0011x1011x}}

{110x1 \ {11011, 11001, 11001}}
{1xxx0 \ {10x00, 10000, 1xx00}}
{}

{x0x1x \ {00110, x0x10, x001x}}
{110xx \ {11010, 110x1, 1100x}, 1x11x \ {1x110, 1011x, 1011x}}
{
   1101xx0x1x \ {
   11011x0x10, 11010x0x11, 1101x00110, 1101xx0x10, 1101xx001x, 11010x0x1x, 11011x0x1x}, 1x11xx0x1x \ {
   1x111x0x10, 1x110x0x11, 1x11x00110, 1x11xx0x10, 1x11xx001x, 1x110x0x1x, 1011xx0x1x, 1011xx0x1x}}

{xx1x0 \ {0x1x0, 111x0, x0110}, 0x1x0 \ {001x0, 011x0, 01110}}
{x1111 \ {11111, 01111, 01111}}
{}

{}
{100x0 \ {10010, 10000, 10000}, x110x \ {01100, 01101, x1100}}
{}

{10xx1 \ {10101, 10011, 100x1}, 1x01x \ {10011, 1x010, 10010}}
{x0x10 \ {00x10, 10110, x0010}}
{
   x0x101x010 \ {
   x0x101x010, x0x1010010, 00x101x010, 101101x010, x00101x010}}

{x0xx1 \ {x0x01, 00011, 001x1}}
{x0x00 \ {10100, 00000, 00x00}}
{}

{0xxx1 \ {01x01, 010x1, 01011}}
{1x10x \ {1010x, 1x101, 11100}}
{
   1x1010xx01 \ {
   1x10101x01, 1x10101001, 101010xx01, 1x1010xx01}}

{x0xx0 \ {00100, 00xx0, 00000}}
{00x1x \ {00010, 0001x, 00x11}}
{
   00x10x0x10 \ {
   00x1000x10, 00010x0x10, 00010x0x10}}

{10xx0 \ {10110, 10x10, 10000}, x01x1 \ {001x1, 00111, 00111}}
{}
{}

{0x11x \ {00111}, 11xx0 \ {11000, 110x0, 11110}, xx100 \ {10100, 00100, 1x100}}
{}
{}

{x111x \ {0111x, x1110}, 00xx1 \ {00x11, 00111}, 1x001 \ {10001}}
{x00xx \ {000xx, x00x1, x0001}}
{
   x001xx111x \ {
   x0011x1110, x0010x1111, x001x0111x, x001xx1110, 0001xx111x, x0011x111x}, x00x100xx1 \ {
   x001100x01, x000100x11, x00x100x11, x00x100111, 000x100xx1, x00x100xx1, x000100xx1}, x00011x001 \ {
   x000110001, 000011x001, x00011x001, x00011x001}}

{xx0xx \ {xx000, 1x0x1, x0011}}
{xx000 \ {01000, 1x000, x0000}, x000x \ {1000x, 00001}}
{
   xx000xx000 \ {
   xx000xx000, 01000xx000, 1x000xx000, x0000xx000}, x000xxx00x \ {
   x0001xx000, x0000xx001, x000xxx000, x000x1x001, 1000xxx00x, 00001xx00x}}

{x10x0 \ {01000, 010x0}}
{x1101 \ {11101, 01101}}
{}

{}
{xx100 \ {01100, 00100, x0100}}
{}

{1x011 \ {10011, 11011, 11011}}
{1x1x1 \ {1x101, 11101}, 10xx1 \ {10011, 10001}}
{
   1x1111x011 \ {
   1x11110011, 1x11111011, 1x11111011}, 10x111x011 \ {
   10x1110011, 10x1111011, 10x1111011, 100111x011}}

{x1xxx \ {x1111, 11x10, 111x0}, 101x1 \ {10111, 10101}}
{x111x \ {1111x, x1111, x1110}}
{
   x111xx1x1x \ {
   x1111x1x10, x1110x1x11, x111xx1111, x111x11x10, x111x11110, 1111xx1x1x, x1111x1x1x, x1110x1x1x}, x111110111 \ {
   x111110111, 1111110111, x111110111}}

{0xxx1 \ {0x111, 01001, 01011}}
{xx001 \ {0x001, x0001}, x011x \ {0011x, x0110, 00110}}
{
   xx0010xx01 \ {
   xx00101001, 0x0010xx01, x00010xx01}, x01110xx11 \ {
   x01110x111, x011101011, 001110xx11}}

{1x10x \ {1110x, 1010x, 1010x}}
{x1xxx \ {01x01, 11x0x, x110x}, 110xx \ {1101x, 11000, 110x0}}
{
   x1x0x1x10x \ {
   x1x011x100, x1x001x101, x1x0x1110x, x1x0x1010x, x1x0x1010x, 01x011x10x, 11x0x1x10x, x110x1x10x}, 1100x1x10x \ {
   110011x100, 110001x101, 1100x1110x, 1100x1010x, 1100x1010x, 110001x10x, 110001x10x}}

{x1110 \ {01110, 11110, 11110}}
{11x10 \ {11010, 11110, 11110}}
{
   11x10x1110 \ {
   11x1001110, 11x1011110, 11x1011110, 11010x1110, 11110x1110, 11110x1110}}

{1011x \ {10111}, x1xx0 \ {01010, x1110, x11x0}, 1xx01 \ {10101, 11001, 10x01}}
{}
{}

{010xx \ {010x1, 01011, 010x0}, x1x01 \ {x1101, 11101}}
{x10x0 \ {x1010, 11000, 11010}}
{
   x10x0010x0 \ {
   x101001000, x100001010, x10x0010x0, x1010010x0, 11000010x0, 11010010x0}}

{x1111 \ {11111, 01111, 01111}}
{00x10 \ {00010, 00110, 00110}, xx010 \ {00010, x0010, 11010}}
{}

{x1x10 \ {01110, 11110}}
{xx1xx \ {111xx, x010x, 1x100}, 0x1x1 \ {00111, 001x1, 001x1}, 1xx1x \ {1x010, 10010, 1001x}}
{
   xx110x1x10 \ {
   xx11001110, xx11011110, 11110x1x10}, 1xx10x1x10 \ {
   1xx1001110, 1xx1011110, 1x010x1x10, 10010x1x10, 10010x1x10}}

{xx111 \ {1x111, 01111, x0111}}
{x0xx0 \ {00xx0, 10110, x0x00}, 0x0xx \ {00001, 0100x, 01001}}
{
   0x011xx111 \ {
   0x0111x111, 0x01101111, 0x011x0111}}

{1xx00 \ {11x00, 10x00}, 11xx0 \ {11x00, 11100}}
{1x111 \ {10111, 11111}, 10xx0 \ {10000, 10100, 10010}}
{
   10x001xx00 \ {
   10x0011x00, 10x0010x00, 100001xx00, 101001xx00}, 10xx011xx0 \ {
   10x1011x00, 10x0011x10, 10xx011x00, 10xx011100, 1000011xx0, 1010011xx0, 1001011xx0}}

{01xx1 \ {01001, 01101, 01x11}, 1xxx0 \ {11x00, 1xx00, 10x10}}
{0100x \ {01000, 01001}}
{
   0100101x01 \ {
   0100101001, 0100101101, 0100101x01}, 010001xx00 \ {
   0100011x00, 010001xx00, 010001xx00}}

{0x01x \ {0x011, 01011}}
{01xx1 \ {010x1, 01x01, 01x11}}
{
   01x110x011 \ {
   01x110x011, 01x1101011, 010110x011, 01x110x011}}

{1x1x1 \ {10101, 1x101}, 010xx \ {010x0, 01000, 01000}}
{x01x1 \ {x0101, 00111}, 11x0x \ {11100, 11x01, 1100x}, 1x10x \ {1110x, 1x101, 11101}}
{
   x01x11x1x1 \ {
   x01111x101, x01011x111, x01x110101, x01x11x101, x01011x1x1, 001111x1x1}, 11x011x101 \ {
   11x0110101, 11x011x101, 11x011x101, 110011x101}, 1x1011x101 \ {
   1x10110101, 1x1011x101, 111011x101, 1x1011x101, 111011x101}, x01x1010x1 \ {
   x011101001, x010101011, x0101010x1, 00111010x1}, 11x0x0100x \ {
   11x0101000, 11x0001001, 11x0x01000, 11x0x01000, 11x0x01000, 111000100x, 11x010100x, 1100x0100x}, 1x10x0100x \ {
   1x10101000, 1x10001001, 1x10x01000, 1x10x01000, 1x10x01000, 1110x0100x, 1x1010100x, 111010100x}}

{}
{x0111 \ {00111}}
{}

{xx011 \ {11011, 01011, 0x011}, 001x1 \ {00111}}
{x1x01 \ {11001, 01x01, 11101}, 10xx1 \ {10001, 10111, 10x01}}
{
   10x11xx011 \ {
   10x1111011, 10x1101011, 10x110x011, 10111xx011}, x1x0100101 \ {
   1100100101, 01x0100101, 1110100101}, 10xx1001x1 \ {
   10x1100101, 10x0100111, 10xx100111, 10001001x1, 10111001x1, 10x01001x1}}

{}
{xxxxx \ {011x1, x0x0x, 00x00}, x11x1 \ {01111}, 000x0 \ {00000}}
{}

{xx011 \ {00011, 11011, 01011}, x01xx \ {x01x1, x01x0, 101x0}}
{}
{}

{x0xx0 \ {x0100, 00xx0}, x11x0 \ {01110, 011x0, 011x0}}
{x0x10 \ {00010, 00110, x0110}, x1011 \ {11011, 01011, 01011}, 1111x \ {11110, 11111, 11111}}
{
   x0x10x0x10 \ {
   x0x1000x10, 00010x0x10, 00110x0x10, x0110x0x10}, 11110x0x10 \ {
   1111000x10, 11110x0x10}, x0x10x1110 \ {
   x0x1001110, x0x1001110, x0x1001110, 00010x1110, 00110x1110, x0110x1110}, 11110x1110 \ {
   1111001110, 1111001110, 1111001110, 11110x1110}}

{1xx1x \ {10x1x, 10x11, 1111x}, 0xx01 \ {01x01, 00101, 00001}}
{xxxx1 \ {10xx1, 1x0x1, x1x01}, x10xx \ {x100x, x10x1, 01011}, x0101 \ {10101, 00101}}
{
   xxx111xx11 \ {
   xxx1110x11, xxx1110x11, xxx1111111, 10x111xx11, 1x0111xx11}, x101x1xx1x \ {
   x10111xx10, x10101xx11, x101x10x1x, x101x10x11, x101x1111x, x10111xx1x, 010111xx1x}, xxx010xx01 \ {
   xxx0101x01, xxx0100101, xxx0100001, 10x010xx01, 1x0010xx01, x1x010xx01}, x10010xx01 \ {
   x100101x01, x100100101, x100100001, x10010xx01, x10010xx01}, x01010xx01 \ {
   x010101x01, x010100101, x010100001, 101010xx01, 001010xx01}}

{000xx \ {00011, 0000x, 00001}}
{1xxxx \ {1x110, 10x0x, 1xx01}, x11xx \ {111xx, 0110x, 11100}, 10xxx \ {1000x, 10000, 101xx}}
{
   1xxxx000xx \ {
   1xxx1000x0, 1xxx0000x1, 1xx1x0000x, 1xx0x0001x, 1xxxx00011, 1xxxx0000x, 1xxxx00001, 1x110000xx, 10x0x000xx, 1xx01000xx}, x11xx000xx \ {
   x11x1000x0, x11x0000x1, x111x0000x, x110x0001x, x11xx00011, x11xx0000x, x11xx00001, 111xx000xx, 0110x000xx, 11100000xx}, 10xxx000xx \ {
   10xx1000x0, 10xx0000x1, 10x1x0000x, 10x0x0001x, 10xxx00011, 10xxx0000x, 10xxx00001, 1000x000xx, 10000000xx, 101xx000xx}}

{}
{x010x \ {10100, 00101, 0010x}}
{}

{xxxx0 \ {100x0, 011x0, 11000}}
{xx0x0 \ {xx000, 1x010}, 0xxx1 \ {0xx01, 00xx1, 001x1}, 0x01x \ {0101x, 01010}}
{
   xx0x0xxxx0 \ {
   xx010xxx00, xx000xxx10, xx0x0100x0, xx0x0011x0, xx0x011000, xx000xxxx0, 1x010xxxx0}, 0x010xxx10 \ {
   0x01010010, 0x01001110, 01010xxx10, 01010xxx10}}

{1x111 \ {11111, 10111}}
{0x01x \ {01010, 01011}, 100xx \ {10010, 100x0, 1001x}, x11x0 \ {11110, 01110}}
{
   0x0111x111 \ {
   0x01111111, 0x01110111, 010111x111}, 100111x111 \ {
   1001111111, 1001110111, 100111x111}}

{x11x1 \ {111x1, 11101, 01101}}
{}
{}

{0x1x0 \ {011x0, 0x100, 0x100}, 1xxx0 \ {1x100, 1x0x0}}
{xx101 \ {1x101, 11101}, 1xx00 \ {10x00, 1x000, 11x00}, x110x \ {0110x, 01101, 11100}}
{
   1xx000x100 \ {
   1xx0001100, 1xx000x100, 1xx000x100, 10x000x100, 1x0000x100, 11x000x100}, x11000x100 \ {
   x110001100, x11000x100, x11000x100, 011000x100, 111000x100}, 1xx001xx00 \ {
   1xx001x100, 1xx001x000, 10x001xx00, 1x0001xx00, 11x001xx00}, x11001xx00 \ {
   x11001x100, x11001x000, 011001xx00, 111001xx00}}

{x0xx1 \ {x01x1, 00001, 00xx1}, 101xx \ {1010x, 101x0, 10111}}
{11x1x \ {1101x, 11111, 11011}, x11x1 \ {x1101, x1111}}
{
   11x11x0x11 \ {
   11x11x0111, 11x1100x11, 11011x0x11, 11111x0x11, 11011x0x11}, x11x1x0xx1 \ {
   x1111x0x01, x1101x0x11, x11x1x01x1, x11x100001, x11x100xx1, x1101x0xx1, x1111x0xx1}, 11x1x1011x \ {
   11x1110110, 11x1010111, 11x1x10110, 11x1x10111, 1101x1011x, 111111011x, 110111011x}, x11x1101x1 \ {
   x111110101, x110110111, x11x110101, x11x110111, x1101101x1, x1111101x1}}

{x0xx0 \ {000x0, 001x0, 00010}, x011x \ {00110, 1011x, 1011x}}
{}
{}

{x1100 \ {11100}, xx110 \ {x1110, 1x110}}
{x1xx0 \ {01010, 11010, x1110}, x111x \ {11110, x1111}}
{
   x1x00x1100 \ {
   x1x0011100}, x1x10xx110 \ {
   x1x10x1110, x1x101x110, 01010xx110, 11010xx110, x1110xx110}, x1110xx110 \ {
   x1110x1110, x11101x110, 11110xx110}}

{1x1x1 \ {10101, 11101, 101x1}}
{xx111 \ {0x111, 10111}, 0xxx1 \ {0x111, 001x1, 01101}, xxx01 \ {01x01, 0xx01, 11001}}
{
   xx1111x111 \ {
   xx11110111, 0x1111x111, 101111x111}, 0xxx11x1x1 \ {
   0xx111x101, 0xx011x111, 0xxx110101, 0xxx111101, 0xxx1101x1, 0x1111x1x1, 001x11x1x1, 011011x1x1}, xxx011x101 \ {
   xxx0110101, xxx0111101, xxx0110101, 01x011x101, 0xx011x101, 110011x101}}

{xxx10 \ {xx010, x1110, 11010}}
{xx1x0 \ {00110, x0110, x1110}}
{
   xx110xxx10 \ {
   xx110xx010, xx110x1110, xx11011010, 00110xxx10, x0110xxx10, x1110xxx10}}

{xxx01 \ {11001, 00x01, 10001}}
{00xxx \ {00x01, 0000x, 001x0}}
{
   00x01xxx01 \ {
   00x0111001, 00x0100x01, 00x0110001, 00x01xxx01, 00001xxx01}}

{x00x0 \ {00000, x0010, 00010}, xx110 \ {10110, 1x110, 00110}, 10xx0 \ {10100, 10x00, 10010}}
{}
{}

{10xx1 \ {10001, 10101, 10101}, 10x1x \ {10011, 10111, 10x10}, 10x1x \ {10010, 1011x}}
{01xx0 \ {011x0, 01x10}, 0x000 \ {00000, 01000, 01000}}
{
   01x1010x10 \ {
   01x1010x10, 0111010x10, 01x1010x10}}

{11xx0 \ {11x10, 11100, 11010}}
{}
{}

{}
{x0x01 \ {x0101, 00101, 10x01}, 11x1x \ {11011, 1101x, 11110}, 01xx1 \ {01011, 01111, 010x1}}
{}

{xx10x \ {1010x, 10100, 11100}, 101x0 \ {10110, 10100}, xx100 \ {10100, x1100, 00100}}
{xxxx1 \ {110x1, x1111, x1011}, xx100 \ {00100, x1100, x0100}}
{
   xxx01xx101 \ {
   xxx0110101, 11001xx101}, xx100xx100 \ {
   xx10010100, xx10010100, xx10011100, 00100xx100, x1100xx100, x0100xx100}, xx10010100 \ {
   xx10010100, 0010010100, x110010100, x010010100}}

{0xxx1 \ {010x1, 00xx1, 01x11}}
{x111x \ {11110, x1111, 01110}}
{
   x11110xx11 \ {
   x111101011, x111100x11, x111101x11, x11110xx11}}

{x001x \ {00011, 10011, x0011}}
{}
{}

{1001x \ {10011, 10010}, 01xxx \ {0101x, 011xx, 01x00}}
{x11x0 \ {01100, x1100, 01110}, x11x1 \ {011x1, 111x1, 111x1}}
{
   x111010010 \ {
   x111010010, 0111010010}, x111110011 \ {
   x111110011, 0111110011, 1111110011, 1111110011}, x11x001xx0 \ {
   x111001x00, x110001x10, x11x001010, x11x0011x0, x11x001x00, 0110001xx0, x110001xx0, 0111001xx0}, x11x101xx1 \ {
   x111101x01, x110101x11, x11x101011, x11x1011x1, 011x101xx1, 111x101xx1, 111x101xx1}}

{01x1x \ {01011, 01x11}, 1x00x \ {1x001, 1x000, 10001}}
{000x1 \ {00011}}
{
   0001101x11 \ {
   0001101011, 0001101x11, 0001101x11}, 000011x001 \ {
   000011x001, 0000110001}}

{00x1x \ {00011, 00110}, 0xx01 \ {0x001, 01101, 01101}}
{x011x \ {00110, x0110}}
{
   x011x00x1x \ {
   x011100x10, x011000x11, x011x00011, x011x00110, 0011000x1x, x011000x1x}}

{110xx \ {11010, 110x1, 110x0}, 10xx0 \ {10000, 10110, 101x0}}
{0x1x0 \ {01110, 011x0}}
{
   0x1x0110x0 \ {
   0x11011000, 0x10011010, 0x1x011010, 0x1x0110x0, 01110110x0, 011x0110x0}, 0x1x010xx0 \ {
   0x11010x00, 0x10010x10, 0x1x010000, 0x1x010110, 0x1x0101x0, 0111010xx0, 011x010xx0}}

{11x0x \ {11100, 1110x, 11001}, 10xx0 \ {101x0, 10110, 10100}, 000xx \ {000x0, 00010, 00000}}
{x0xx0 \ {00110, x00x0, x0x00}}
{
   x0x0011x00 \ {
   x0x0011100, x0x0011100, x000011x00, x0x0011x00}, x0xx010xx0 \ {
   x0x1010x00, x0x0010x10, x0xx0101x0, x0xx010110, x0xx010100, 0011010xx0, x00x010xx0, x0x0010xx0}, x0xx0000x0 \ {
   x0x1000000, x0x0000010, x0xx0000x0, x0xx000010, x0xx000000, 00110000x0, x00x0000x0, x0x00000x0}}

{x00x0 \ {100x0, 10000}, 0x0x1 \ {00001}}
{xx0xx \ {000xx, xx010, 1x010}, x00xx \ {x0000, x00x0, 00011}}
{
   xx0x0x00x0 \ {
   xx010x0000, xx000x0010, xx0x0100x0, xx0x010000, 000x0x00x0, xx010x00x0, 1x010x00x0}, x00x0x00x0 \ {
   x0010x0000, x0000x0010, x00x0100x0, x00x010000, x0000x00x0, x00x0x00x0}, xx0x10x0x1 \ {
   xx0110x001, xx0010x011, xx0x100001, 000x10x0x1}, x00x10x0x1 \ {
   x00110x001, x00010x011, x00x100001, 000110x0x1}}

{xxx01 \ {01001, 00001, 10001}}
{x01xx \ {10100, 0010x, 001x0}, x101x \ {x1010, 01010, 11011}}
{
   x0101xxx01 \ {
   x010101001, x010100001, x010110001, 00101xxx01}}

{100x1 \ {10001}}
{0x1x0 \ {001x0, 01100, 0x100}, x10x1 \ {11001, x1001, x1011}}
{
   x10x1100x1 \ {
   x101110001, x100110011, x10x110001, 11001100x1, x1001100x1, x1011100x1}}

{xx101 \ {1x101, 01101, x1101}, 0xx11 \ {00011, 01111}}
{00xx1 \ {00111, 00x11}, 011x1 \ {01111}}
{
   00x01xx101 \ {
   00x011x101, 00x0101101, 00x01x1101}, 01101xx101 \ {
   011011x101, 0110101101, 01101x1101}, 00x110xx11 \ {
   00x1100011, 00x1101111, 001110xx11, 00x110xx11}, 011110xx11 \ {
   0111100011, 0111101111, 011110xx11}}

{}
{1x100 \ {10100, 11100}, xx01x \ {11011, 10010, xx011}}
{}

{0001x \ {00011, 00010}}
{00xxx \ {00010, 0011x, 0011x}, xx1x1 \ {1x111, xx111, 1x1x1}}
{
   00x1x0001x \ {
   00x1100010, 00x1000011, 00x1x00011, 00x1x00010, 000100001x, 0011x0001x, 0011x0001x}, xx11100011 \ {
   xx11100011, 1x11100011, xx11100011, 1x11100011}}

{xx100 \ {11100, x0100, 0x100}, 00xxx \ {00100, 00000}}
{xxx11 \ {x1x11, x1111, 0xx11}, x110x \ {01101, x1101, 0110x}}
{
   x1100xx100 \ {
   x110011100, x1100x0100, x11000x100, 01100xx100}, xxx1100x11 \ {
   x1x1100x11, x111100x11, 0xx1100x11}, x110x00x0x \ {
   x110100x00, x110000x01, x110x00100, x110x00000, 0110100x0x, x110100x0x, 0110x00x0x}}

{x11x0 \ {01100, 111x0}, x1111 \ {11111, 01111}, xxx00 \ {1xx00, 01100}}
{1xx01 \ {10001, 11101, 1x101}}
{}

{x0100 \ {10100, 00100, 00100}}
{000x0 \ {00000, 00010}}
{
   00000x0100 \ {
   0000010100, 0000000100, 0000000100, 00000x0100}}

{0x0x1 \ {000x1, 0x011, 010x1}}
{1x0x1 \ {100x1, 11011, 1x011}, xx10x \ {x0101, x1100, 11101}}
{
   1x0x10x0x1 \ {
   1x0110x001, 1x0010x011, 1x0x1000x1, 1x0x10x011, 1x0x1010x1, 100x10x0x1, 110110x0x1, 1x0110x0x1}, xx1010x001 \ {
   xx10100001, xx10101001, x01010x001, 111010x001}}

{}
{0x11x \ {0011x, 00110, 00111}, 001x0 \ {00110, 00100, 00100}}
{}

{}
{xxx10 \ {01010, 1xx10}, 0x11x \ {0011x, 00111, 0111x}}
{}

{}
{1101x \ {11011}, 1xx10 \ {1x010, 1x110, 11010}}
{}

{}
{xxx11 \ {1xx11, 0x011, xx011}, 10x0x \ {1000x, 10100, 10001}, 00x1x \ {00x11, 00011, 00010}}
{}

{1x01x \ {11010, 1x011}, 1x0xx \ {1x001, 1x010, 1x0x1}}
{}
{}

{xx00x \ {0x000, 0x00x, 00000}}
{xx010 \ {00010, 0x010, 0x010}, 011xx \ {0110x, 01111, 0111x}}
{
   0110xxx00x \ {
   01101xx000, 01100xx001, 0110x0x000, 0110x0x00x, 0110x00000, 0110xxx00x}}

{xx1x1 \ {x1101, 1x111, 0x101}, xxx00 \ {x1000, x1100, 01x00}}
{1xx01 \ {11x01, 1x101, 11001}, 0x010 \ {01010, 00010}, 10x0x \ {10100, 10x01}}
{
   1xx01xx101 \ {
   1xx01x1101, 1xx010x101, 11x01xx101, 1x101xx101, 11001xx101}, 10x01xx101 \ {
   10x01x1101, 10x010x101, 10x01xx101}, 10x00xxx00 \ {
   10x00x1000, 10x00x1100, 10x0001x00, 10100xxx00}}

{0xx00 \ {01000, 00100, 0x100}}
{x1x01 \ {x1101, 01x01}}
{}

{1xx00 \ {10100, 11100, 10x00}, xx01x \ {1001x, x0011, 00010}}
{01xx0 \ {01100, 01010, 01x00}, 11x1x \ {1111x, 11011, 11010}}
{
   01x001xx00 \ {
   01x0010100, 01x0011100, 01x0010x00, 011001xx00, 01x001xx00}, 01x10xx010 \ {
   01x1010010, 01x1000010, 01010xx010}, 11x1xxx01x \ {
   11x11xx010, 11x10xx011, 11x1x1001x, 11x1xx0011, 11x1x00010, 1111xxx01x, 11011xx01x, 11010xx01x}}

{010x0 \ {01000, 01010, 01010}, xx10x \ {1010x, 0x10x, x110x}, x11xx \ {x110x, x11x0, x1110}}
{x1xx0 \ {011x0, 01010, 01010}}
{
   x1xx0010x0 \ {
   x1x1001000, x1x0001010, x1xx001000, x1xx001010, x1xx001010, 011x0010x0, 01010010x0, 01010010x0}, x1x00xx100 \ {
   x1x0010100, x1x000x100, x1x00x1100, 01100xx100}, x1xx0x11x0 \ {
   x1x10x1100, x1x00x1110, x1xx0x1100, x1xx0x11x0, x1xx0x1110, 011x0x11x0, 01010x11x0, 01010x11x0}}

{x10x0 \ {010x0, 110x0, 11000}, x0x1x \ {00x10, x001x, 00011}}
{xx0x0 \ {x10x0, xx000, 1x010}}
{
   xx0x0x10x0 \ {
   xx010x1000, xx000x1010, xx0x0010x0, xx0x0110x0, xx0x011000, x10x0x10x0, xx000x10x0, 1x010x10x0}, xx010x0x10 \ {
   xx01000x10, xx010x0010, x1010x0x10, 1x010x0x10}}

{xxx11 \ {01011, 10x11, 1x111}, 10xx1 \ {10x11, 101x1}, x00x1 \ {10011, 00011}}
{1x11x \ {10111, 1x111, 10110}, 1xx11 \ {10111, 11111, 1x111}}
{
   1x111xxx11 \ {
   1x11101011, 1x11110x11, 1x1111x111, 10111xxx11, 1x111xxx11}, 1xx11xxx11 \ {
   1xx1101011, 1xx1110x11, 1xx111x111, 10111xxx11, 11111xxx11, 1x111xxx11}, 1x11110x11 \ {
   1x11110x11, 1x11110111, 1011110x11, 1x11110x11}, 1xx1110x11 \ {
   1xx1110x11, 1xx1110111, 1011110x11, 1111110x11, 1x11110x11}, 1x111x0011 \ {
   1x11110011, 1x11100011, 10111x0011, 1x111x0011}, 1xx11x0011 \ {
   1xx1110011, 1xx1100011, 10111x0011, 11111x0011, 1x111x0011}}

{xx1x0 \ {1x110, x0100, xx100}}
{xx0x0 \ {x00x0, x1010, 110x0}}
{
   xx0x0xx1x0 \ {
   xx010xx100, xx000xx110, xx0x01x110, xx0x0x0100, xx0x0xx100, x00x0xx1x0, x1010xx1x0, 110x0xx1x0}}

{1xxx1 \ {10x11, 10111, 10x01}, 1110x \ {11101, 11100, 11100}}
{xx010 \ {x1010, 01010}}
{}

{}
{11x01 \ {11101, 11001, 11001}}
{}

{1xx0x \ {1x00x, 1110x, 11000}}
{}
{}

{xx10x \ {x110x, 00100, 0010x}, 11x0x \ {11000, 11100, 1100x}}
{01xxx \ {010xx, 01010, 0111x}}
{
   01x0xxx10x \ {
   01x01xx100, 01x00xx101, 01x0xx110x, 01x0x00100, 01x0x0010x, 0100xxx10x}, 01x0x11x0x \ {
   01x0111x00, 01x0011x01, 01x0x11000, 01x0x11100, 01x0x1100x, 0100x11x0x}}

{}
{0x0x0 \ {0x000, 00000, 010x0}, x0x00 \ {00x00, 10x00, 10x00}, xxxx0 \ {x0x10, 01110, 100x0}}
{}

{01x00 \ {01100}}
{xxx1x \ {x1x1x, xxx11, 00x10}}
{}

{0x1xx \ {0x11x, 0x110, 0x111}, 1xxx1 \ {11x11, 11x01, 10101}}
{10xxx \ {10111, 10x00, 10x01}, x10xx \ {1100x, x1011, 010xx}, 011x1 \ {01101}}
{
   10xxx0x1xx \ {
   10xx10x1x0, 10xx00x1x1, 10x1x0x10x, 10x0x0x11x, 10xxx0x11x, 10xxx0x110, 10xxx0x111, 101110x1xx, 10x000x1xx, 10x010x1xx}, x10xx0x1xx \ {
   x10x10x1x0, x10x00x1x1, x101x0x10x, x100x0x11x, x10xx0x11x, x10xx0x110, x10xx0x111, 1100x0x1xx, x10110x1xx, 010xx0x1xx}, 011x10x1x1 \ {
   011110x101, 011010x111, 011x10x111, 011x10x111, 011010x1x1}, 10xx11xxx1 \ {
   10x111xx01, 10x011xx11, 10xx111x11, 10xx111x01, 10xx110101, 101111xxx1, 10x011xxx1}, x10x11xxx1 \ {
   x10111xx01, x10011xx11, x10x111x11, x10x111x01, x10x110101, 110011xxx1, x10111xxx1, 010x11xxx1}, 011x11xxx1 \ {
   011111xx01, 011011xx11, 011x111x11, 011x111x01, 011x110101, 011011xxx1}}

{x1111 \ {11111, 01111}, 1x101 \ {10101}}
{1xx11 \ {10x11, 10011, 1x011}, x11x1 \ {01111, 111x1, 11101}, 10x0x \ {1010x, 10000, 10x01}}
{
   1xx11x1111 \ {
   1xx1111111, 1xx1101111, 10x11x1111, 10011x1111, 1x011x1111}, x1111x1111 \ {
   x111111111, x111101111, 01111x1111, 11111x1111}, x11011x101 \ {
   x110110101, 111011x101, 111011x101}, 10x011x101 \ {
   10x0110101, 101011x101, 10x011x101}}

{0xx0x \ {01101, 01x0x, 01x00}}
{x00x1 \ {00001, 000x1, x0011}, x01x0 \ {00100, x0110}}
{
   x00010xx01 \ {
   x000101101, x000101x01, 000010xx01, 000010xx01}, x01000xx00 \ {
   x010001x00, x010001x00, 001000xx00}}

{1x1xx \ {111x0, 10101, 11111}}
{x1xx1 \ {011x1, 01x11, x1x01}, x1x1x \ {01110, 11111, 0101x}, 1xxxx \ {1001x, 10010, 11x01}}
{
   x1xx11x1x1 \ {
   x1x111x101, x1x011x111, x1xx110101, x1xx111111, 011x11x1x1, 01x111x1x1, x1x011x1x1}, x1x1x1x11x \ {
   x1x111x110, x1x101x111, x1x1x11110, x1x1x11111, 011101x11x, 111111x11x, 0101x1x11x}, 1xxxx1x1xx \ {
   1xxx11x1x0, 1xxx01x1x1, 1xx1x1x10x, 1xx0x1x11x, 1xxxx111x0, 1xxxx10101, 1xxxx11111, 1001x1x1xx, 100101x1xx, 11x011x1xx}}

{1xxx1 \ {10111, 1x101, 1xx01}}
{110x1 \ {11011}, x0x01 \ {10101, 00001, 00001}}
{
   110x11xxx1 \ {
   110111xx01, 110011xx11, 110x110111, 110x11x101, 110x11xx01, 110111xxx1}, x0x011xx01 \ {
   x0x011x101, x0x011xx01, 101011xx01, 000011xx01, 000011xx01}}

{}
{0x100 \ {01100}, xx11x \ {11110, 0x110, xx111}}
{}

{x110x \ {01100, x1101, 1110x}}
{xxx0x \ {0010x, 0x001, 01100}}
{
   xxx0xx110x \ {
   xxx01x1100, xxx00x1101, xxx0x01100, xxx0xx1101, xxx0x1110x, 0010xx110x, 0x001x110x, 01100x110x}}

{xxx0x \ {0x101, 11x01, x0x0x}, 1xx00 \ {11000, 10000, 1x100}, x1010 \ {11010}}
{}
{}

{}
{10x0x \ {10100, 1000x, 10x01}}
{}

{10x0x \ {10100, 1010x}}
{x1xx1 \ {x1x11, 01111, x1111}, 00x11 \ {00011}}
{
   x1x0110x01 \ {
   x1x0110101}}

{0xxx1 \ {01x01, 000x1, 01x11}, xx11x \ {x1110, 10111, 1x11x}}
{1x11x \ {1x111, 11110, 1111x}, 110x0 \ {11010}}
{
   1x1110xx11 \ {
   1x11100011, 1x11101x11, 1x1110xx11, 111110xx11}, 1x11xxx11x \ {
   1x111xx110, 1x110xx111, 1x11xx1110, 1x11x10111, 1x11x1x11x, 1x111xx11x, 11110xx11x, 1111xxx11x}, 11010xx110 \ {
   11010x1110, 110101x110, 11010xx110}}

{xx0x0 \ {01010, 110x0, 000x0}, x1x0x \ {01x01, 01x00, x1000}, 10xx1 \ {10001, 10101, 10101}}
{001x0 \ {00110, 00100}}
{
   001x0xx0x0 \ {
   00110xx000, 00100xx010, 001x001010, 001x0110x0, 001x0000x0, 00110xx0x0, 00100xx0x0}, 00100x1x00 \ {
   0010001x00, 00100x1000, 00100x1x00}}

{}
{00xx1 \ {00001, 00x01, 00101}, x0xx1 \ {00xx1, x0x01}}
{}

{x11x1 \ {01101, 11111}}
{10xx1 \ {10101, 10x01, 10001}, 101x1 \ {10111, 10101}, x0x11 \ {x0111, x0011, x0011}}
{
   10xx1x11x1 \ {
   10x11x1101, 10x01x1111, 10xx101101, 10xx111111, 10101x11x1, 10x01x11x1, 10001x11x1}, 101x1x11x1 \ {
   10111x1101, 10101x1111, 101x101101, 101x111111, 10111x11x1, 10101x11x1}, x0x11x1111 \ {
   x0x1111111, x0111x1111, x0011x1111, x0011x1111}}

{1x1xx \ {111xx, 101x0, 1x11x}, x101x \ {0101x, x1010, 11010}, 0xxx0 \ {0xx10, 00000, 00x00}}
{10x11 \ {10011}, x010x \ {10100, 0010x}, 00xxx \ {00x01, 00xx1, 00101}}
{
   10x111x111 \ {
   10x1111111, 10x111x111, 100111x111}, x010x1x10x \ {
   x01011x100, x01001x101, x010x1110x, x010x10100, 101001x10x, 0010x1x10x}, 00xxx1x1xx \ {
   00xx11x1x0, 00xx01x1x1, 00x1x1x10x, 00x0x1x11x, 00xxx111xx, 00xxx101x0, 00xxx1x11x, 00x011x1xx, 00xx11x1xx, 001011x1xx}, 10x11x1011 \ {
   10x1101011, 10011x1011}, 00x1xx101x \ {
   00x11x1010, 00x10x1011, 00x1x0101x, 00x1xx1010, 00x1x11010, 00x11x101x}, x01000xx00 \ {
   x010000000, x010000x00, 101000xx00, 001000xx00}, 00xx00xxx0 \ {
   00x100xx00, 00x000xx10, 00xx00xx10, 00xx000000, 00xx000x00}}

{xxx1x \ {01x11, 00010, x0x1x}}
{x1110 \ {01110, 11110}}
{
   x1110xxx10 \ {
   x111000010, x1110x0x10, 01110xxx10, 11110xxx10}}

{x0x10 \ {10110, 00010, 10010}, x001x \ {x0010, 00011, 10010}, 0xx1x \ {0011x, 0xx10, 00010}}
{11x0x \ {11x00, 11100}, 01x1x \ {01011, 01010, 0111x}}
{
   01x10x0x10 \ {
   01x1010110, 01x1000010, 01x1010010, 01010x0x10, 01110x0x10}, 01x1xx001x \ {
   01x11x0010, 01x10x0011, 01x1xx0010, 01x1x00011, 01x1x10010, 01011x001x, 01010x001x, 0111xx001x}, 01x1x0xx1x \ {
   01x110xx10, 01x100xx11, 01x1x0011x, 01x1x0xx10, 01x1x00010, 010110xx1x, 010100xx1x, 0111x0xx1x}}

{}
{x0x01 \ {10x01, 00x01, x0101}, 01xx0 \ {01000, 010x0, 01110}}
{}

{0x1x0 \ {01100, 00100, 01110}, xxx11 \ {01111, x1x11, 0x011}}
{}
{}

{}
{}
{}

{0xx1x \ {01010, 0xx11, 01110}, 0x1xx \ {01110, 001x0, 0x110}}
{010x0 \ {01010}}
{
   010100xx10 \ {
   0101001010, 0101001110, 010100xx10}, 010x00x1x0 \ {
   010100x100, 010000x110, 010x001110, 010x0001x0, 010x00x110, 010100x1x0}}

{11xxx \ {111x1, 11101}}
{}
{}

{xx000 \ {01000, x0000, 10000}}
{x000x \ {00001, x0001, x0001}}
{
   x0000xx000 \ {
   x000001000, x0000x0000, x000010000}}

{00x1x \ {0001x, 00x11, 0011x}, xxx10 \ {0xx10, 0x010, 1xx10}}
{0xxx1 \ {010x1, 01111, 00xx1}, 1xx01 \ {11x01, 10101, 10001}, 00x1x \ {00111, 0001x, 00x10}}
{
   0xx1100x11 \ {
   0xx1100011, 0xx1100x11, 0xx1100111, 0101100x11, 0111100x11, 00x1100x11}, 00x1x00x1x \ {
   00x1100x10, 00x1000x11, 00x1x0001x, 00x1x00x11, 00x1x0011x, 0011100x1x, 0001x00x1x, 00x1000x1x}, 00x10xxx10 \ {
   00x100xx10, 00x100x010, 00x101xx10, 00010xxx10, 00x10xxx10}}

{1x1xx \ {10101, 1011x, 1x1x0}, 001xx \ {0010x, 0011x, 001x0}}
{01xxx \ {010x1, 011x1}, 10x11 \ {10011, 10111, 10111}}
{
   01xxx1x1xx \ {
   01xx11x1x0, 01xx01x1x1, 01x1x1x10x, 01x0x1x11x, 01xxx10101, 01xxx1011x, 01xxx1x1x0, 010x11x1xx, 011x11x1xx}, 10x111x111 \ {
   10x1110111, 100111x111, 101111x111, 101111x111}, 01xxx001xx \ {
   01xx1001x0, 01xx0001x1, 01x1x0010x, 01x0x0011x, 01xxx0010x, 01xxx0011x, 01xxx001x0, 010x1001xx, 011x1001xx}, 10x1100111 \ {
   10x1100111, 1001100111, 1011100111, 1011100111}}

{010xx \ {01011, 01010, 0100x}, x1xx0 \ {11010, 01010, x1000}, 1x110 \ {11110, 10110}}
{}
{}

{0x100 \ {01100}, 0x100 \ {01100, 00100}, 00x11 \ {00111, 00011}}
{101xx \ {10110, 10100, 10111}, xxx0x \ {1x101, x1001, x010x}, x10x0 \ {01000, 110x0, 010x0}}
{
   101000x100 \ {
   1010001100, 101000x100}, xxx000x100 \ {
   xxx0001100, x01000x100}, x10000x100 \ {
   x100001100, 010000x100, 110000x100, 010000x100}, 1011100x11 \ {
   1011100111, 1011100011, 1011100x11}}

{}
{0xx00 \ {00x00, 00100}, x01x1 \ {101x1, 10101, 001x1}}
{}

{1xx11 \ {11011, 10x11, 11111}}
{10x01 \ {10101, 10001}, xxx1x \ {10110, 00x11, 1x111}}
{
   xxx111xx11 \ {
   xxx1111011, xxx1110x11, xxx1111111, 00x111xx11, 1x1111xx11}}

{0x000 \ {01000, 00000}, 0x1x0 \ {0x110, 0x100, 01100}}
{}
{}

{xx0x1 \ {00011, 11011, 000x1}}
{xxx10 \ {11010, 0xx10, 0xx10}, 1x0x1 \ {11011, 110x1, 10001}, 0011x \ {00110, 00111}}
{
   1x0x1xx0x1 \ {
   1x011xx001, 1x001xx011, 1x0x100011, 1x0x111011, 1x0x1000x1, 11011xx0x1, 110x1xx0x1, 10001xx0x1}, 00111xx011 \ {
   0011100011, 0011111011, 0011100011, 00111xx011}}

{x0xxx \ {10011, x001x, x00x0}}
{1x010 \ {11010, 10010, 10010}, x1x1x \ {11010, x1110, x1110}}
{
   1x010x0x10 \ {
   1x010x0010, 1x010x0010, 11010x0x10, 10010x0x10, 10010x0x10}, x1x1xx0x1x \ {
   x1x11x0x10, x1x10x0x11, x1x1x10011, x1x1xx001x, x1x1xx0010, 11010x0x1x, x1110x0x1x, x1110x0x1x}}

{10xx1 \ {100x1, 10101, 10001}, 11x0x \ {11001, 11000, 1110x}, x111x \ {x1111, 11110}}
{0x1x0 \ {01100, 0x110, 011x0}, x10x1 \ {11011, 010x1, x1001}}
{
   x10x110xx1 \ {
   x101110x01, x100110x11, x10x1100x1, x10x110101, x10x110001, 1101110xx1, 010x110xx1, x100110xx1}, 0x10011x00 \ {
   0x10011000, 0x10011100, 0110011x00, 0110011x00}, x100111x01 \ {
   x100111001, x100111101, 0100111x01, x100111x01}, 0x110x1110 \ {
   0x11011110, 0x110x1110, 01110x1110}, x1011x1111 \ {
   x1011x1111, 11011x1111, 01011x1111}}

{1x1xx \ {111xx, 1x1x1, 10111}}
{xxxxx \ {x0x10, 001x0, x01x0}}
{
   xxxxx1x1xx \ {
   xxxx11x1x0, xxxx01x1x1, xxx1x1x10x, xxx0x1x11x, xxxxx111xx, xxxxx1x1x1, xxxxx10111, x0x101x1xx, 001x01x1xx, x01x01x1xx}}

{0xx10 \ {01010, 0x110}}
{xxxxx \ {01x0x, 111x0, 11000}}
{
   xxx100xx10 \ {
   xxx1001010, xxx100x110, 111100xx10}}

{100xx \ {10011, 1001x, 100x1}, x01x0 \ {x0100, 001x0, 00100}}
{1x10x \ {11100, 10100, 1010x}, x111x \ {x1111, 1111x, 01110}, x1x11 \ {01011, x1011, 11011}}
{
   1x10x1000x \ {
   1x10110000, 1x10010001, 1x10x10001, 111001000x, 101001000x, 1010x1000x}, x111x1001x \ {
   x111110010, x111010011, x111x10011, x111x1001x, x111x10011, x11111001x, 1111x1001x, 011101001x}, x1x1110011 \ {
   x1x1110011, x1x1110011, x1x1110011, 0101110011, x101110011, 1101110011}, 1x100x0100 \ {
   1x100x0100, 1x10000100, 1x10000100, 11100x0100, 10100x0100, 10100x0100}, x1110x0110 \ {
   x111000110, 11110x0110, 01110x0110}}

{xxx1x \ {11x1x, 00x11, 0x110}, 100xx \ {10010, 10001, 10000}}
{xxxx0 \ {11100, 11x00, 01xx0}, xxx0x \ {01x00, 1010x, x1000}}
{
   xxx10xxx10 \ {
   xxx1011x10, xxx100x110, 01x10xxx10}, xxxx0100x0 \ {
   xxx1010000, xxx0010010, xxxx010010, xxxx010000, 11100100x0, 11x00100x0, 01xx0100x0}, xxx0x1000x \ {
   xxx0110000, xxx0010001, xxx0x10001, xxx0x10000, 01x001000x, 1010x1000x, x10001000x}}

{}
{1x10x \ {11100, 1010x, 1010x}, 10x11 \ {10111}}
{}

{x01x1 \ {x0111, 101x1, 10101}, 1xxx0 \ {1x000, 1xx00, 11xx0}}
{0xxx0 \ {011x0, 0x0x0, 00000}}
{
   0xxx01xxx0 \ {
   0xx101xx00, 0xx001xx10, 0xxx01x000, 0xxx01xx00, 0xxx011xx0, 011x01xxx0, 0x0x01xxx0, 000001xxx0}}

{0011x \ {00111, 00110}, 11x0x \ {1100x, 11x00, 11x00}}
{1110x \ {11100, 11101, 11101}, 1x0xx \ {110x1, 1x000, 1x000}}
{
   1x01x0011x \ {
   1x01100110, 1x01000111, 1x01x00111, 1x01x00110, 110110011x}, 1110x11x0x \ {
   1110111x00, 1110011x01, 1110x1100x, 1110x11x00, 1110x11x00, 1110011x0x, 1110111x0x, 1110111x0x}, 1x00x11x0x \ {
   1x00111x00, 1x00011x01, 1x00x1100x, 1x00x11x00, 1x00x11x00, 1100111x0x, 1x00011x0x, 1x00011x0x}}

{1xx0x \ {11101, 10000, 10000}, 00x01 \ {00001, 00101}}
{0x11x \ {0x110, 0111x, 00110}}
{}

{}
{x111x \ {01111, 11111}, 0x0x0 \ {000x0, 010x0, 01000}, xx110 \ {0x110, 11110, 00110}}
{}

{01x0x \ {0100x, 01101, 01101}}
{101x0 \ {10110, 10100}}
{
   1010001x00 \ {
   1010001000, 1010001x00}}

{xx0xx \ {x100x, x1010, 0x000}}
{1xx1x \ {10x10, 11010, 1xx10}, 11x00 \ {11100, 11000, 11000}, 0x01x \ {01011, 00010, 01010}}
{
   1xx1xxx01x \ {
   1xx11xx010, 1xx10xx011, 1xx1xx1010, 10x10xx01x, 11010xx01x, 1xx10xx01x}, 11x00xx000 \ {
   11x00x1000, 11x000x000, 11100xx000, 11000xx000, 11000xx000}, 0x01xxx01x \ {
   0x011xx010, 0x010xx011, 0x01xx1010, 01011xx01x, 00010xx01x, 01010xx01x}}

{x100x \ {01000, x1000, 01001}, x0x11 \ {00011, x0111}}
{0111x \ {01111, 01110, 01110}, 0x01x \ {01010, 0001x, 0101x}}
{
   01111x0x11 \ {
   0111100011, 01111x0111, 01111x0x11}, 0x011x0x11 \ {
   0x01100011, 0x011x0111, 00011x0x11, 01011x0x11}}

{x1x1x \ {01x1x, 0111x, 1101x}}
{}
{}

{0xxx0 \ {0x0x0, 01010, 0x010}}
{xxx01 \ {10x01, 1x101, 0xx01}, 00x1x \ {00110, 00011, 0011x}}
{
   00x100xx10 \ {
   00x100x010, 00x1001010, 00x100x010, 001100xx10, 001100xx10}}

{0xxx0 \ {0x000, 000x0, 00xx0}, xx1xx \ {1x10x, 01111, 01111}}
{x1xx0 \ {110x0, x10x0, x1000}, x0xx0 \ {00100, 00000, 00110}}
{
   x1xx00xxx0 \ {
   x1x100xx00, x1x000xx10, x1xx00x000, x1xx0000x0, x1xx000xx0, 110x00xxx0, x10x00xxx0, x10000xxx0}, x0xx00xxx0 \ {
   x0x100xx00, x0x000xx10, x0xx00x000, x0xx0000x0, x0xx000xx0, 001000xxx0, 000000xxx0, 001100xxx0}, x1xx0xx1x0 \ {
   x1x10xx100, x1x00xx110, x1xx01x100, 110x0xx1x0, x10x0xx1x0, x1000xx1x0}, x0xx0xx1x0 \ {
   x0x10xx100, x0x00xx110, x0xx01x100, 00100xx1x0, 00000xx1x0, 00110xx1x0}}

{x0x0x \ {10101, 10x00, 00x00}, x1011 \ {11011, 01011}}
{11x00 \ {11000}, x11x0 \ {x1100, 01100, 01110}, 1x100 \ {10100}}
{
   11x00x0x00 \ {
   11x0010x00, 11x0000x00, 11000x0x00}, x1100x0x00 \ {
   x110010x00, x110000x00, x1100x0x00, 01100x0x00}, 1x100x0x00 \ {
   1x10010x00, 1x10000x00, 10100x0x00}}

{001xx \ {00101, 001x0, 00111}}
{01x0x \ {01000, 0110x, 01x01}, 100x0 \ {10000}}
{
   01x0x0010x \ {
   01x0100100, 01x0000101, 01x0x00101, 01x0x00100, 010000010x, 0110x0010x, 01x010010x}, 100x0001x0 \ {
   1001000100, 1000000110, 100x0001x0, 10000001x0}}

{110xx \ {110x1, 1101x}, 00xx1 \ {00001, 00x11}}
{11xxx \ {11101, 11110, 111x0}, x01x1 \ {10101, 001x1, 101x1}}
{
   11xxx110xx \ {
   11xx1110x0, 11xx0110x1, 11x1x1100x, 11x0x1101x, 11xxx110x1, 11xxx1101x, 11101110xx, 11110110xx, 111x0110xx}, x01x1110x1 \ {
   x011111001, x010111011, x01x1110x1, x01x111011, 10101110x1, 001x1110x1, 101x1110x1}, 11xx100xx1 \ {
   11x1100x01, 11x0100x11, 11xx100001, 11xx100x11, 1110100xx1}, x01x100xx1 \ {
   x011100x01, x010100x11, x01x100001, x01x100x11, 1010100xx1, 001x100xx1, 101x100xx1}}

{x01x0 \ {00100, 00110, 10110}}
{x11x0 \ {x1110, 01110}}
{
   x11x0x01x0 \ {
   x1110x0100, x1100x0110, x11x000100, x11x000110, x11x010110, x1110x01x0, 01110x01x0}}

{xx10x \ {11100, 10100, 1110x}, 1110x \ {11100, 11101}, 1110x \ {11101, 11100, 11100}}
{x1x10 \ {11x10, 11010, x1110}}
{}

{0x010 \ {00010}, 1x0x1 \ {10001, 110x1, 11011}}
{x101x \ {x1011, 01011, 11011}, x110x \ {1110x, 01101}}
{
   x10100x010 \ {
   x101000010}, x10111x011 \ {
   x101111011, x101111011, x10111x011, 010111x011, 110111x011}, x11011x001 \ {
   x110110001, x110111001, 111011x001, 011011x001}}

{01x1x \ {0111x, 01010, 01110}}
{}
{}

{00xxx \ {00x1x, 0000x}}
{x00x1 \ {00011, 00001}, x00x1 \ {000x1, 10011, 00001}}
{
   x00x100xx1 \ {
   x001100x01, x000100x11, x00x100x11, x00x100001, 0001100xx1, 0000100xx1}}

{1x101 \ {10101, 11101}}
{10xx1 \ {10111, 10001, 101x1}}
{
   10x011x101 \ {
   10x0110101, 10x0111101, 100011x101, 101011x101}}

{1x1xx \ {11100, 111xx, 10111}}
{xx0x1 \ {x0001, 110x1, x10x1}, 1x110 \ {11110}}
{
   xx0x11x1x1 \ {
   xx0111x101, xx0011x111, xx0x1111x1, xx0x110111, x00011x1x1, 110x11x1x1, x10x11x1x1}, 1x1101x110 \ {
   1x11011110, 111101x110}}

{xx0xx \ {110xx, x000x, 01010}}
{1x10x \ {1x101, 1010x, 1x100}}
{
   1x10xxx00x \ {
   1x101xx000, 1x100xx001, 1x10x1100x, 1x10xx000x, 1x101xx00x, 1010xxx00x, 1x100xx00x}}

{x111x \ {0111x, x1111, 01111}}
{xx1x0 \ {10100, 11100, 111x0}, xx0xx \ {010x1, 1001x, 10010}}
{
   xx110x1110 \ {
   xx11001110, 11110x1110}, xx01xx111x \ {
   xx011x1110, xx010x1111, xx01x0111x, xx01xx1111, xx01x01111, 01011x111x, 1001xx111x, 10010x111x}}

{1x10x \ {1110x, 1x100, 1010x}, xx0xx \ {01000, x10x0, x0011}}
{}
{}

{110x1 \ {11001, 11011, 11011}, 0xx10 \ {00110, 01110, 00x10}, 0x1x0 \ {011x0, 001x0, 00100}}
{1xx00 \ {10100, 11100, 11000}, xx10x \ {0x10x}}
{
   xx10111001 \ {
   xx10111001, 0x10111001}, 1xx000x100 \ {
   1xx0001100, 1xx0000100, 1xx0000100, 101000x100, 111000x100, 110000x100}, xx1000x100 \ {
   xx10001100, xx10000100, xx10000100, 0x1000x100}}

{xx011 \ {01011, x0011, 10011}}
{1xx11 \ {10x11, 11011, 11011}}
{
   1xx11xx011 \ {
   1xx1101011, 1xx11x0011, 1xx1110011, 10x11xx011, 11011xx011, 11011xx011}}

{xx110 \ {x0110, 01110, 11110}}
{00x01 \ {00101, 00001}}
{}

{x0xxx \ {10011, 001xx, 00xx0}}
{1xx0x \ {1000x, 1x000, 11x0x}}
{
   1xx0xx0x0x \ {
   1xx01x0x00, 1xx00x0x01, 1xx0x0010x, 1xx0x00x00, 1000xx0x0x, 1x000x0x0x, 11x0xx0x0x}}

{10xx1 \ {10101, 101x1}, 1010x \ {10100, 10101, 10101}}
{10xx0 \ {10x00, 10010, 10110}}
{
   10x0010100 \ {
   10x0010100, 10x0010100}}

{xxx1x \ {0xx1x, 10x1x, x0x1x}, 1xxx1 \ {1x111, 11x11, 11xx1}}
{01x1x \ {01110, 0111x, 01010}}
{
   01x1xxxx1x \ {
   01x11xxx10, 01x10xxx11, 01x1x0xx1x, 01x1x10x1x, 01x1xx0x1x, 01110xxx1x, 0111xxxx1x, 01010xxx1x}, 01x111xx11 \ {
   01x111x111, 01x1111x11, 01x1111x11, 011111xx11}}

{xx110 \ {x1110, 1x110, 00110}, 10xx0 \ {100x0, 10100, 10110}}
{x01xx \ {10111, 00101, x0110}}
{
   x0110xx110 \ {
   x0110x1110, x01101x110, x011000110, x0110xx110}, x01x010xx0 \ {
   x011010x00, x010010x10, x01x0100x0, x01x010100, x01x010110, x011010xx0}}

{0x10x \ {00101, 01101, 00100}, x011x \ {00111, x0110, 1011x}}
{0xxx0 \ {01000, 01xx0, 0x000}}
{
   0xx000x100 \ {
   0xx0000100, 010000x100, 01x000x100, 0x0000x100}, 0xx10x0110 \ {
   0xx10x0110, 0xx1010110, 01x10x0110}}

{xxx11 \ {00011, x0111, 1xx11}}
{x1x00 \ {01000}, x1xx1 \ {x10x1, 01111}}
{
   x1x11xxx11 \ {
   x1x1100011, x1x11x0111, x1x111xx11, x1011xxx11, 01111xxx11}}

{}
{111xx \ {111x1, 11111, 11110}}
{}

{xx0x1 \ {010x1, 11001, 000x1}, x11x0 \ {111x0, 11100, 01110}}
{00x1x \ {00x10, 00110, 00011}, 0xxx1 \ {01xx1, 0x111, 00001}}
{
   00x11xx011 \ {
   00x1101011, 00x1100011, 00011xx011}, 0xxx1xx0x1 \ {
   0xx11xx001, 0xx01xx011, 0xxx1010x1, 0xxx111001, 0xxx1000x1, 01xx1xx0x1, 0x111xx0x1, 00001xx0x1}, 00x10x1110 \ {
   00x1011110, 00x1001110, 00x10x1110, 00110x1110}}

{x1x01 \ {11101, 11001, x1001}, 1xxx0 \ {10100, 11xx0}}
{00xxx \ {000xx, 00xx1}, x100x \ {01000, x1001}}
{
   00x01x1x01 \ {
   00x0111101, 00x0111001, 00x01x1001, 00001x1x01, 00x01x1x01}, x1001x1x01 \ {
   x100111101, x100111001, x1001x1001, x1001x1x01}, 00xx01xxx0 \ {
   00x101xx00, 00x001xx10, 00xx010100, 00xx011xx0, 000x01xxx0}, x10001xx00 \ {
   x100010100, x100011x00, 010001xx00}}

{xx01x \ {00010, x001x, 11011}}
{10xx1 \ {101x1, 10101, 10111}, 1x11x \ {11111, 10111}}
{
   10x11xx011 \ {
   10x11x0011, 10x1111011, 10111xx011, 10111xx011}, 1x11xxx01x \ {
   1x111xx010, 1x110xx011, 1x11x00010, 1x11xx001x, 1x11x11011, 11111xx01x, 10111xx01x}}

{01x1x \ {0101x, 01010, 01111}, 10x0x \ {10000, 10101, 10001}}
{}
{}

{}
{xx01x \ {00010, 11010, 1x011}}
{}

{x1001 \ {11001, 01001}, xx100 \ {11100, 0x100, 01100}}
{x010x \ {10100, x0100, 10101}}
{
   x0101x1001 \ {
   x010111001, x010101001, 10101x1001}, x0100xx100 \ {
   x010011100, x01000x100, x010001100, 10100xx100, x0100xx100}}

{}
{x110x \ {01101, 0110x, 01100}, 11x0x \ {11101, 1100x}, xx10x \ {x010x, 1x100, x0100}}
{}

{0011x \ {00111}, x1x0x \ {01x0x, 01001, 01000}}
{110x0 \ {11010, 11000, 11000}, x1xx1 \ {11xx1, 01x01, 11001}, x1x01 \ {01001, x1101}}
{
   1101000110 \ {
   1101000110}, x1x1100111 \ {
   x1x1100111, 11x1100111}, 11000x1x00 \ {
   1100001x00, 1100001000, 11000x1x00, 11000x1x00}, x1x01x1x01 \ {
   x1x0101x01, x1x0101001, 11x01x1x01, 01x01x1x01, 11001x1x01}, x1x01x1x01 \ {
   x1x0101x01, x1x0101001, 01001x1x01, x1101x1x01}}

{x0xx1 \ {00x11, 00xx1, 10101}, 1xx11 \ {11011, 11x11, 11x11}}
{}
{}

{110xx \ {11000, 1101x}}
{xx1xx \ {001x1, 0x11x, 1x100}, 0x1xx \ {0x111, 0x10x, 01100}, 00xx1 \ {00x11, 00111, 00011}}
{
   xx1xx110xx \ {
   xx1x1110x0, xx1x0110x1, xx11x1100x, xx10x1101x, xx1xx11000, xx1xx1101x, 001x1110xx, 0x11x110xx, 1x100110xx}, 0x1xx110xx \ {
   0x1x1110x0, 0x1x0110x1, 0x11x1100x, 0x10x1101x, 0x1xx11000, 0x1xx1101x, 0x111110xx, 0x10x110xx, 01100110xx}, 00xx1110x1 \ {
   00x1111001, 00x0111011, 00xx111011, 00x11110x1, 00111110x1, 00011110x1}}

{x1x0x \ {11x01, x1000, x110x}, x010x \ {10100, x0100, 00101}, 01xxx \ {01011, 01x11, 0111x}}
{101xx \ {101x1, 1010x, 10110}, 11x1x \ {1101x, 11011}}
{
   1010xx1x0x \ {
   10101x1x00, 10100x1x01, 1010x11x01, 1010xx1000, 1010xx110x, 10101x1x0x, 1010xx1x0x}, 1010xx010x \ {
   10101x0100, 10100x0101, 1010x10100, 1010xx0100, 1010x00101, 10101x010x, 1010xx010x}, 101xx01xxx \ {
   101x101xx0, 101x001xx1, 1011x01x0x, 1010x01x1x, 101xx01011, 101xx01x11, 101xx0111x, 101x101xxx, 1010x01xxx, 1011001xxx}, 11x1x01x1x \ {
   11x1101x10, 11x1001x11, 11x1x01011, 11x1x01x11, 11x1x0111x, 1101x01x1x, 1101101x1x}}

{10x00 \ {10100, 10000}}
{x01xx \ {10101, 00111, 0011x}}
{
   x010010x00 \ {
   x010010100, x010010000}}

{10xxx \ {10111, 10001, 10x10}}
{x1111 \ {01111, 11111}}
{
   x111110x11 \ {
   x111110111, 0111110x11, 1111110x11}}

{1x000 \ {11000, 10000, 10000}}
{00x0x \ {0010x, 0000x, 0000x}}
{
   00x001x000 \ {
   00x0011000, 00x0010000, 00x0010000, 001001x000, 000001x000, 000001x000}}

{}
{xxx1x \ {01011, x0x11, 1x01x}, 0x10x \ {0110x, 0x100, 0010x}, 1x01x \ {1101x, 11010}}
{}

{x0x00 \ {00100, 10x00, x0000}, x01x1 \ {00101, 10101, 00111}}
{00x0x \ {0000x, 0010x}, 1x0x1 \ {10001, 1x001}}
{
   00x00x0x00 \ {
   00x0000100, 00x0010x00, 00x00x0000, 00000x0x00, 00100x0x00}, 00x01x0101 \ {
   00x0100101, 00x0110101, 00001x0101, 00101x0101}, 1x0x1x01x1 \ {
   1x011x0101, 1x001x0111, 1x0x100101, 1x0x110101, 1x0x100111, 10001x01x1, 1x001x01x1}}

{00xx1 \ {000x1, 00001}}
{x1100 \ {11100}}
{}

{1x10x \ {1x100, 10100, 1x101}, x1xx0 \ {01x10, x10x0, x1000}}
{xx00x \ {0100x, xx001, x100x}}
{
   xx00x1x10x \ {
   xx0011x100, xx0001x101, xx00x1x100, xx00x10100, xx00x1x101, 0100x1x10x, xx0011x10x, x100x1x10x}, xx000x1x00 \ {
   xx000x1000, xx000x1000, 01000x1x00, x1000x1x00}}

{}
{00x0x \ {00100, 00x00, 00x00}, x0x11 \ {x0011, 00111, 10011}}
{}

{x001x \ {00010, 10010, 00011}}
{xxxxx \ {x0010, 11x11, 1xx00}, xxx10 \ {1x010, x1110, 00110}}
{
   xxx1xx001x \ {
   xxx11x0010, xxx10x0011, xxx1x00010, xxx1x10010, xxx1x00011, x0010x001x, 11x11x001x}, xxx10x0010 \ {
   xxx1000010, xxx1010010, 1x010x0010, x1110x0010, 00110x0010}}

{xxx00 \ {x0x00, x1100, x1000}}
{xx1x1 \ {11101, 00111, 101x1}, x1x11 \ {11x11, 01x11}}
{}

{0110x \ {01100, 01101}}
{}
{}

{0x101 \ {01101}, 10x01 \ {10001, 10101}}
{01x1x \ {0111x, 01x11, 01111}}
{}

{xx0x1 \ {000x1, 10011}, 111xx \ {11101, 11111, 1111x}, x0x00 \ {00100, 10x00, 00000}}
{00x1x \ {00111, 0011x}}
{
   00x11xx011 \ {
   00x1100011, 00x1110011, 00111xx011, 00111xx011}, 00x1x1111x \ {
   00x1111110, 00x1011111, 00x1x11111, 00x1x1111x, 001111111x, 0011x1111x}}

{x1x10 \ {x1110, 11110, x1010}, x11x0 \ {01100, 01110}}
{0xx10 \ {0x110, 00x10, 00x10}}
{
   0xx10x1x10 \ {
   0xx10x1110, 0xx1011110, 0xx10x1010, 0x110x1x10, 00x10x1x10, 00x10x1x10}, 0xx10x1110 \ {
   0xx1001110, 0x110x1110, 00x10x1110, 00x10x1110}}

{x110x \ {11100, x1100, x1101}}
{1xx1x \ {10010, 1x011, 1x01x}}
{}

{0100x \ {01000, 01001, 01001}, 1x0xx \ {1000x, 1101x, 110x1}}
{x110x \ {11101, 0110x}, 11xxx \ {11x10, 11x11, 11011}}
{
   x110x0100x \ {
   x110101000, x110001001, x110x01000, x110x01001, x110x01001, 111010100x, 0110x0100x}, 11x0x0100x \ {
   11x0101000, 11x0001001, 11x0x01000, 11x0x01001, 11x0x01001}, x110x1x00x \ {
   x11011x000, x11001x001, x110x1000x, x110x11001, 111011x00x, 0110x1x00x}, 11xxx1x0xx \ {
   11xx11x0x0, 11xx01x0x1, 11x1x1x00x, 11x0x1x01x, 11xxx1000x, 11xxx1101x, 11xxx110x1, 11x101x0xx, 11x111x0xx, 110111x0xx}}

{01xxx \ {01010, 01x0x, 01111}}
{x00x1 \ {00011, 100x1, 00001}}
{
   x00x101xx1 \ {
   x001101x01, x000101x11, x00x101x01, x00x101111, 0001101xx1, 100x101xx1, 0000101xx1}}

{1x0x1 \ {10001, 1x011, 100x1}, x0110 \ {10110, 00110, 00110}}
{1xxxx \ {11100, 101xx, 101xx}, x1xx1 \ {111x1, 11001, 010x1}}
{
   1xxx11x0x1 \ {
   1xx111x001, 1xx011x011, 1xxx110001, 1xxx11x011, 1xxx1100x1, 101x11x0x1, 101x11x0x1}, x1xx11x0x1 \ {
   x1x111x001, x1x011x011, x1xx110001, x1xx11x011, x1xx1100x1, 111x11x0x1, 110011x0x1, 010x11x0x1}, 1xx10x0110 \ {
   1xx1010110, 1xx1000110, 1xx1000110, 10110x0110, 10110x0110}}

{xx111 \ {01111, 10111, 10111}, 0xx10 \ {00x10, 00010, 01110}, x0x0x \ {1010x, 10001, x000x}}
{101xx \ {1011x, 101x0, 10110}, x111x \ {11111, 01111, 01111}, x11x1 \ {x1111, x1101, x1101}}
{
   10111xx111 \ {
   1011101111, 1011110111, 1011110111, 10111xx111}, x1111xx111 \ {
   x111101111, x111110111, x111110111, 11111xx111, 01111xx111, 01111xx111}, 101100xx10 \ {
   1011000x10, 1011000010, 1011001110, 101100xx10, 101100xx10, 101100xx10}, x11100xx10 \ {
   x111000x10, x111000010, x111001110}, 1010xx0x0x \ {
   10101x0x00, 10100x0x01, 1010x1010x, 1010x10001, 1010xx000x, 10100x0x0x}, x1101x0x01 \ {
   x110110101, x110110001, x1101x0001, x1101x0x01, x1101x0x01}}

{}
{x0xx1 \ {100x1, 000x1, 00x01}, 100xx \ {100x0, 10001, 100x1}}
{}

{x11xx \ {x111x, 011x0, x11x1}, 1xxxx \ {11xxx, 1111x, 11111}, 00xx0 \ {00010, 00100, 00110}}
{01xxx \ {011x0, 01101, 010x1}, 11xx0 \ {11000, 11010}}
{
   01xxxx11xx \ {
   01xx1x11x0, 01xx0x11x1, 01x1xx110x, 01x0xx111x, 01xxxx111x, 01xxx011x0, 01xxxx11x1, 011x0x11xx, 01101x11xx, 010x1x11xx}, 11xx0x11x0 \ {
   11x10x1100, 11x00x1110, 11xx0x1110, 11xx0011x0, 11000x11x0, 11010x11x0}, 01xxx1xxxx \ {
   01xx11xxx0, 01xx01xxx1, 01x1x1xx0x, 01x0x1xx1x, 01xxx11xxx, 01xxx1111x, 01xxx11111, 011x01xxxx, 011011xxxx, 010x11xxxx}, 11xx01xxx0 \ {
   11x101xx00, 11x001xx10, 11xx011xx0, 11xx011110, 110001xxx0, 110101xxx0}, 01xx000xx0 \ {
   01x1000x00, 01x0000x10, 01xx000010, 01xx000100, 01xx000110, 011x000xx0}, 11xx000xx0 \ {
   11x1000x00, 11x0000x10, 11xx000010, 11xx000100, 11xx000110, 1100000xx0, 1101000xx0}}

{xxx01 \ {0x101, x0x01, 00001}, x01x0 \ {00100, 101x0}}
{xxx1x \ {x1x10, 01111, x0x10}}
{
   xxx10x0110 \ {
   xxx1010110, x1x10x0110, x0x10x0110}}

{x1xx0 \ {01x10, 11x10, x1x00}, x11x1 \ {011x1, 11101, 11101}}
{x010x \ {00101, x0101}, 01xxx \ {01011, 01x10, 0101x}, x00x1 \ {00001, 10011, 000x1}}
{
   x0100x1x00 \ {
   x0100x1x00}, 01xx0x1xx0 \ {
   01x10x1x00, 01x00x1x10, 01xx001x10, 01xx011x10, 01xx0x1x00, 01x10x1xx0, 01010x1xx0}, x0101x1101 \ {
   x010101101, x010111101, x010111101, 00101x1101, x0101x1101}, 01xx1x11x1 \ {
   01x11x1101, 01x01x1111, 01xx1011x1, 01xx111101, 01xx111101, 01011x11x1, 01011x11x1}, x00x1x11x1 \ {
   x0011x1101, x0001x1111, x00x1011x1, x00x111101, x00x111101, 00001x11x1, 10011x11x1, 000x1x11x1}}

{}
{x1x1x \ {x1110, 01010, 1101x}}
{}

{xx0x0 \ {x10x0, 10000, 01010}, 1x1x1 \ {11101, 11111, 10101}}
{x0xx0 \ {x0x00, 00x10}}
{
   x0xx0xx0x0 \ {
   x0x10xx000, x0x00xx010, x0xx0x10x0, x0xx010000, x0xx001010, x0x00xx0x0, 00x10xx0x0}}

{}
{xx0xx \ {x00x1, 11010, x1000}}
{}

{001xx \ {00100, 0010x, 0011x}, 01x0x \ {01100, 01x00, 01x00}}
{xx0xx \ {00001, 11011, 00010}}
{
   xx0xx001xx \ {
   xx0x1001x0, xx0x0001x1, xx01x0010x, xx00x0011x, xx0xx00100, xx0xx0010x, xx0xx0011x, 00001001xx, 11011001xx, 00010001xx}, xx00x01x0x \ {
   xx00101x00, xx00001x01, xx00x01100, xx00x01x00, xx00x01x00, 0000101x0x}}

{110x0 \ {11010, 11000}, x100x \ {01001, 1100x, 0100x}}
{1x001 \ {10001, 11001, 11001}, 1011x \ {10111, 10110, 10110}}
{
   1011011010 \ {
   1011011010, 1011011010, 1011011010}, 1x001x1001 \ {
   1x00101001, 1x00111001, 1x00101001, 10001x1001, 11001x1001, 11001x1001}}

{xx0x0 \ {x1000, 11010, 01010}}
{1x0xx \ {1x0x1, 1001x, 10000}, 011x1 \ {01101}, xx10x \ {xx101, 0110x, x010x}}
{
   1x0x0xx0x0 \ {
   1x010xx000, 1x000xx010, 1x0x0x1000, 1x0x011010, 1x0x001010, 10010xx0x0, 10000xx0x0}, xx100xx000 \ {
   xx100x1000, 01100xx000, x0100xx000}}

{x01x0 \ {x0110, 00100}}
{0x0xx \ {00000, 010x0, 01001}, 01x11 \ {01111, 01011}, 01xx0 \ {01100, 01010, 01010}}
{
   0x0x0x01x0 \ {
   0x010x0100, 0x000x0110, 0x0x0x0110, 0x0x000100, 00000x01x0, 010x0x01x0}, 01xx0x01x0 \ {
   01x10x0100, 01x00x0110, 01xx0x0110, 01xx000100, 01100x01x0, 01010x01x0, 01010x01x0}}

{1xx10 \ {10x10, 10110, 10110}, xxx1x \ {1001x, 0011x, x1010}, 1xx10 \ {10110, 1x110, 11010}}
{0x10x \ {01101, 00100, 01100}}
{}

{0x1x0 \ {01110, 011x0, 0x110}, x100x \ {11000, 0100x, 01001}, x11xx \ {011x0, 11111, x11x1}}
{011x0 \ {01110}, x1xxx \ {11x10, 01100, 110x0}}
{
   011x00x1x0 \ {
   011100x100, 011000x110, 011x001110, 011x0011x0, 011x00x110, 011100x1x0}, x1xx00x1x0 \ {
   x1x100x100, x1x000x110, x1xx001110, x1xx0011x0, x1xx00x110, 11x100x1x0, 011000x1x0, 110x00x1x0}, 01100x1000 \ {
   0110011000, 0110001000}, x1x0xx100x \ {
   x1x01x1000, x1x00x1001, x1x0x11000, x1x0x0100x, x1x0x01001, 01100x100x, 11000x100x}, 011x0x11x0 \ {
   01110x1100, 01100x1110, 011x0011x0, 01110x11x0}, x1xxxx11xx \ {
   x1xx1x11x0, x1xx0x11x1, x1x1xx110x, x1x0xx111x, x1xxx011x0, x1xxx11111, x1xxxx11x1, 11x10x11xx, 01100x11xx, 110x0x11xx}}

{0x10x \ {0010x, 01101, 00101}, x1000 \ {11000, 01000}}
{11xxx \ {11000, 11010, 11x00}, xx001 \ {00001, 1x001}}
{
   11x0x0x10x \ {
   11x010x100, 11x000x101, 11x0x0010x, 11x0x01101, 11x0x00101, 110000x10x, 11x000x10x}, xx0010x101 \ {
   xx00100101, xx00101101, xx00100101, 000010x101, 1x0010x101}, 11x00x1000 \ {
   11x0011000, 11x0001000, 11000x1000, 11x00x1000}}

{10x0x \ {10101, 10000}, 0xx0x \ {00x01, 01x00, 01100}}
{xx011 \ {01011, x1011}, x011x \ {x0110, 1011x, 10110}}
{}

{x0xx1 \ {10011, x01x1, 10101}, x1xxx \ {x10x1, 11011, 110x0}}
{xx0x0 \ {01010, 1x000, x1010}, 0xxx0 \ {01110, 00000, 001x0}, 10xx1 \ {10111, 101x1, 10101}}
{
   10xx1x0xx1 \ {
   10x11x0x01, 10x01x0x11, 10xx110011, 10xx1x01x1, 10xx110101, 10111x0xx1, 101x1x0xx1, 10101x0xx1}, xx0x0x1xx0 \ {
   xx010x1x00, xx000x1x10, xx0x0110x0, 01010x1xx0, 1x000x1xx0, x1010x1xx0}, 0xxx0x1xx0 \ {
   0xx10x1x00, 0xx00x1x10, 0xxx0110x0, 01110x1xx0, 00000x1xx0, 001x0x1xx0}, 10xx1x1xx1 \ {
   10x11x1x01, 10x01x1x11, 10xx1x10x1, 10xx111011, 10111x1xx1, 101x1x1xx1, 10101x1xx1}}

{x0x00 \ {10x00, 00x00, x0000}, 0xx00 \ {00000, 01000, 00100}}
{1000x \ {10001, 10000}}
{
   10000x0x00 \ {
   1000010x00, 1000000x00, 10000x0000, 10000x0x00}, 100000xx00 \ {
   1000000000, 1000001000, 1000000100, 100000xx00}}

{x101x \ {01010, 11011, 11011}, 10xxx \ {1001x, 100xx, 10000}}
{111xx \ {11110, 11111, 1111x}, 011xx \ {01110, 01101, 011x1}}
{
   1111xx101x \ {
   11111x1010, 11110x1011, 1111x01010, 1111x11011, 1111x11011, 11110x101x, 11111x101x, 1111xx101x}, 0111xx101x \ {
   01111x1010, 01110x1011, 0111x01010, 0111x11011, 0111x11011, 01110x101x, 01111x101x}, 111xx10xxx \ {
   111x110xx0, 111x010xx1, 1111x10x0x, 1110x10x1x, 111xx1001x, 111xx100xx, 111xx10000, 1111010xxx, 1111110xxx, 1111x10xxx}, 011xx10xxx \ {
   011x110xx0, 011x010xx1, 0111x10x0x, 0110x10x1x, 011xx1001x, 011xx100xx, 011xx10000, 0111010xxx, 0110110xxx, 011x110xxx}}

{x1x11 \ {01011, 01x11}, xxx01 \ {01x01, 00101, x0x01}}
{xx111 \ {10111, x1111, x1111}, x1xx1 \ {01x11, 11x11, x1x11}}
{
   xx111x1x11 \ {
   xx11101011, xx11101x11, 10111x1x11, x1111x1x11, x1111x1x11}, x1x11x1x11 \ {
   x1x1101011, x1x1101x11, 01x11x1x11, 11x11x1x11, x1x11x1x11}, x1x01xxx01 \ {
   x1x0101x01, x1x0100101, x1x01x0x01}}

{}
{x11xx \ {1110x, x11x0, 111x1}, 00x0x \ {00x01, 0010x, 00100}}
{}

{1xxx1 \ {1x001, 1xx01, 11x11}, x1xxx \ {01001, x100x, 11001}}
{xxx10 \ {x0010, x0x10, xx010}, 1xx10 \ {10110, 11110, 11110}}
{
   xxx10x1x10 \ {
   x0010x1x10, x0x10x1x10, xx010x1x10}, 1xx10x1x10 \ {
   10110x1x10, 11110x1x10, 11110x1x10}}

{x11x0 \ {01100, 011x0, 11110}, 0100x \ {01000, 01001}}
{010x0 \ {01000, 01010, 01010}, 0xx01 \ {0x001, 00101}}
{
   010x0x11x0 \ {
   01010x1100, 01000x1110, 010x001100, 010x0011x0, 010x011110, 01000x11x0, 01010x11x0, 01010x11x0}, 0100001000 \ {
   0100001000, 0100001000}, 0xx0101001 \ {
   0xx0101001, 0x00101001, 0010101001}}

{1x000 \ {10000, 11000}, x0x10 \ {00110, 10110}, 01xx0 \ {01000, 01010}}
{}
{}

{0xx1x \ {0001x, 00x10, 0x01x}, 1x1x1 \ {10111, 101x1, 10101}}
{x0xxx \ {10xx1, x0001, 101x1}, 00x1x \ {00x11, 00011, 00011}}
{
   x0x1x0xx1x \ {
   x0x110xx10, x0x100xx11, x0x1x0001x, x0x1x00x10, x0x1x0x01x, 10x110xx1x, 101110xx1x}, 00x1x0xx1x \ {
   00x110xx10, 00x100xx11, 00x1x0001x, 00x1x00x10, 00x1x0x01x, 00x110xx1x, 000110xx1x, 000110xx1x}, x0xx11x1x1 \ {
   x0x111x101, x0x011x111, x0xx110111, x0xx1101x1, x0xx110101, 10xx11x1x1, x00011x1x1, 101x11x1x1}, 00x111x111 \ {
   00x1110111, 00x1110111, 00x111x111, 000111x111, 000111x111}}

{x10x0 \ {11000, 010x0, 01000}, x11x0 \ {x1110, 01110, 11100}, x001x \ {x0011, 00011, 10010}}
{0x011 \ {01011}}
{
   0x011x0011 \ {
   0x011x0011, 0x01100011, 01011x0011}}

{111x1 \ {11111}}
{x111x \ {0111x, x1110, 11111}, 1xx10 \ {11010, 10x10, 1x110}}
{
   x111111111 \ {
   x111111111, 0111111111, 1111111111}}

{110x0 \ {11010, 11000}}
{x10xx \ {110x1, 010x0, x1000}}
{
   x10x0110x0 \ {
   x101011000, x100011010, x10x011010, x10x011000, 010x0110x0, x1000110x0}}

{x11xx \ {x1100, x1101}, x0xx1 \ {10001, 101x1, x0x11}, 11x0x \ {1110x, 11100, 11100}}
{x0xxx \ {00xx0, 000x0, 101x1}}
{
   x0xxxx11xx \ {
   x0xx1x11x0, x0xx0x11x1, x0x1xx110x, x0x0xx111x, x0xxxx1100, x0xxxx1101, 00xx0x11xx, 000x0x11xx, 101x1x11xx}, x0xx1x0xx1 \ {
   x0x11x0x01, x0x01x0x11, x0xx110001, x0xx1101x1, x0xx1x0x11, 101x1x0xx1}, x0x0x11x0x \ {
   x0x0111x00, x0x0011x01, x0x0x1110x, x0x0x11100, x0x0x11100, 00x0011x0x, 0000011x0x, 1010111x0x}}

{1000x \ {10001, 10000}}
{}
{}

{xx001 \ {x1001, 01001, 00001}, x1x11 \ {11x11, 01111}, 0xx00 \ {00000, 0x000, 00100}}
{x01xx \ {x0111, 00101, 10111}, 110xx \ {11001, 11011, 1101x}}
{
   x0101xx001 \ {
   x0101x1001, x010101001, x010100001, 00101xx001}, 11001xx001 \ {
   11001x1001, 1100101001, 1100100001, 11001xx001}, x0111x1x11 \ {
   x011111x11, x011101111, x0111x1x11, 10111x1x11}, 11011x1x11 \ {
   1101111x11, 1101101111, 11011x1x11, 11011x1x11}, x01000xx00 \ {
   x010000000, x01000x000, x010000100}, 110000xx00 \ {
   1100000000, 110000x000, 1100000100}}

{0xxx1 \ {010x1, 00x01, 000x1}, x0xxx \ {x0x00, 00101, 10x11}}
{00x00 \ {00100, 00000}, x11xx \ {11101, 011x1, 011xx}}
{
   x11x10xxx1 \ {
   x11110xx01, x11010xx11, x11x1010x1, x11x100x01, x11x1000x1, 111010xxx1, 011x10xxx1, 011x10xxx1}, 00x00x0x00 \ {
   00x00x0x00, 00100x0x00, 00000x0x00}, x11xxx0xxx \ {
   x11x1x0xx0, x11x0x0xx1, x111xx0x0x, x110xx0x1x, x11xxx0x00, x11xx00101, x11xx10x11, 11101x0xxx, 011x1x0xxx, 011xxx0xxx}}

{0xx01 \ {00001, 01001, 01001}, 10xx0 \ {10110, 10100}}
{11x01 \ {11001, 11101, 11101}}
{
   11x010xx01 \ {
   11x0100001, 11x0101001, 11x0101001, 110010xx01, 111010xx01, 111010xx01}}

{xxx1x \ {00x11, 1111x, 0001x}, xx0xx \ {x1001, 010x0, xx011}}
{}
{}

{xx1xx \ {00100, 011xx, x1101}, x1xxx \ {01xx0, 010x1, x11x1}, xxx10 \ {10010, 10110, 01010}}
{x01x1 \ {x0111, 101x1, 10111}}
{
   x01x1xx1x1 \ {
   x0111xx101, x0101xx111, x01x1011x1, x01x1x1101, x0111xx1x1, 101x1xx1x1, 10111xx1x1}, x01x1x1xx1 \ {
   x0111x1x01, x0101x1x11, x01x1010x1, x01x1x11x1, x0111x1xx1, 101x1x1xx1, 10111x1xx1}}

{11xx0 \ {110x0, 11000, 11x00}}
{x01xx \ {101x1, 0010x, 00101}}
{
   x01x011xx0 \ {
   x011011x00, x010011x10, x01x0110x0, x01x011000, x01x011x00, 0010011xx0}}

{0xx11 \ {01x11, 00x11, 00x11}, 011xx \ {01100, 011x0, 011x1}, 10xx1 \ {101x1, 10x01, 10101}}
{xx1x1 \ {111x1, 0x1x1, 0x1x1}, 0x1x0 \ {01100, 0x110}}
{
   xx1110xx11 \ {
   xx11101x11, xx11100x11, xx11100x11, 111110xx11, 0x1110xx11, 0x1110xx11}, xx1x1011x1 \ {
   xx11101101, xx10101111, xx1x1011x1, 111x1011x1, 0x1x1011x1, 0x1x1011x1}, 0x1x0011x0 \ {
   0x11001100, 0x10001110, 0x1x001100, 0x1x0011x0, 01100011x0, 0x110011x0}, xx1x110xx1 \ {
   xx11110x01, xx10110x11, xx1x1101x1, xx1x110x01, xx1x110101, 111x110xx1, 0x1x110xx1, 0x1x110xx1}}

{x1x00 \ {x1000, 11x00, x1100}}
{xx011 \ {0x011, x1011}, x11xx \ {01110, 01111, 111xx}}
{
   x1100x1x00 \ {
   x1100x1000, x110011x00, x1100x1100, 11100x1x00}}

{11xx0 \ {11x10, 11110, 11010}, 1x1x0 \ {10110, 1x100, 1x100}}
{x0x0x \ {00001, x000x, 00101}, xx1x1 \ {11111, xx111, 011x1}}
{
   x0x0011x00 \ {
   x000011x00}, x0x001x100 \ {
   x0x001x100, x0x001x100, x00001x100}}

{0xxx0 \ {0x010, 01010, 00110}}
{x101x \ {11010, 01011, 01010}}
{
   x10100xx10 \ {
   x10100x010, x101001010, x101000110, 110100xx10, 010100xx10}}

{1x00x \ {1100x, 10000, 11000}, 00x10 \ {00010, 00110}}
{xx1xx \ {x0101, 011xx, 101x1}, 101xx \ {10111, 10101, 101x1}, xx100 \ {01100, 1x100, 1x100}}
{
   xx10x1x00x \ {
   xx1011x000, xx1001x001, xx10x1100x, xx10x10000, xx10x11000, x01011x00x, 0110x1x00x, 101011x00x}, 1010x1x00x \ {
   101011x000, 101001x001, 1010x1100x, 1010x10000, 1010x11000, 101011x00x, 101011x00x}, xx1001x000 \ {
   xx10011000, xx10010000, xx10011000, 011001x000, 1x1001x000, 1x1001x000}, xx11000x10 \ {
   xx11000010, xx11000110, 0111000x10}, 1011000x10 \ {
   1011000010, 1011000110}}

{10xx1 \ {10011, 10111, 10001}}
{010x1 \ {01001, 01011}, 111x0 \ {11100, 11110}}
{
   010x110xx1 \ {
   0101110x01, 0100110x11, 010x110011, 010x110111, 010x110001, 0100110xx1, 0101110xx1}}

{1x1x1 \ {11111, 10111, 101x1}}
{1x11x \ {1011x, 10110, 1111x}}
{
   1x1111x111 \ {
   1x11111111, 1x11110111, 1x11110111, 101111x111, 111111x111}}

{x00x0 \ {00010, 10010, 100x0}}
{x00x1 \ {00011, 10011}, 00x0x \ {00000, 00x01, 00001}}
{
   00x00x0000 \ {
   00x0010000, 00000x0000}}

{x10x0 \ {11000, 11010, 01000}}
{1xxx1 \ {11111, 10101, 11x01}}
{}

{}
{0xx0x \ {00101, 0xx01, 00000}, 0x0x0 \ {0x010, 000x0, 00000}}
{}

{0xx01 \ {00101, 00001, 00x01}, 01x11 \ {01111, 01011}}
{}
{}

{x1xx1 \ {x1x01, 01011, x11x1}}
{0x1x0 \ {0x100, 01110, 01110}, x00x0 \ {10010, 100x0, 100x0}}
{}

{0xx10 \ {0x010, 00110, 01010}, 10x11 \ {10011, 10111}}
{}
{}

{xx011 \ {1x011, x0011}, 010x1 \ {01001, 01011}}
{xx0xx \ {100xx, 1x011, xx0x0}}
{
   xx011xx011 \ {
   xx0111x011, xx011x0011, 10011xx011, 1x011xx011}, xx0x1010x1 \ {
   xx01101001, xx00101011, xx0x101001, xx0x101011, 100x1010x1, 1x011010x1}}

{}
{xxxx0 \ {xx100, xx010, 10x10}}
{}

{xxxx0 \ {1x100, x1x10, x1110}}
{x010x \ {x0101, 10100}, x0011 \ {10011, 00011}, x11x0 \ {01100, 11100, x1100}}
{
   x0100xxx00 \ {
   x01001x100, 10100xxx00}, x11x0xxxx0 \ {
   x1110xxx00, x1100xxx10, x11x01x100, x11x0x1x10, x11x0x1110, 01100xxxx0, 11100xxxx0, x1100xxxx0}}

{x0x00 \ {x0000, 00x00, 00000}, 0x1xx \ {0x100, 0111x, 011x0}}
{1x1x1 \ {11101, 11111}, x1x10 \ {11010, 01x10, 01010}, x0x01 \ {00101, x0101}}
{
   1x1x10x1x1 \ {
   1x1110x101, 1x1010x111, 1x1x101111, 111010x1x1, 111110x1x1}, x1x100x110 \ {
   x1x1001110, x1x1001110, 110100x110, 01x100x110, 010100x110}, x0x010x101 \ {
   001010x101, x01010x101}}

{0x01x \ {00010, 0001x, 0001x}}
{0x0x1 \ {0x001, 010x1, 0x011}}
{
   0x0110x011 \ {
   0x01100011, 0x01100011, 010110x011, 0x0110x011}}

{}
{}
{}

{00xxx \ {000x1, 00101}, 01x0x \ {0110x, 01100}}
{01x10 \ {01010, 01110}, 1x00x \ {11001, 1100x, 10000}}
{
   01x1000x10 \ {
   0101000x10, 0111000x10}, 1x00x00x0x \ {
   1x00100x00, 1x00000x01, 1x00x00001, 1x00x00101, 1100100x0x, 1100x00x0x, 1000000x0x}, 1x00x01x0x \ {
   1x00101x00, 1x00001x01, 1x00x0110x, 1x00x01100, 1100101x0x, 1100x01x0x, 1000001x0x}}

{0x11x \ {0x111, 00111, 0x110}, 1xxx0 \ {10x10, 10x00, 1x0x0}, 0xxx1 \ {01001, 00x11, 0xx11}}
{1xx10 \ {10010, 1x110, 10x10}, 111xx \ {111x0, 11110, 111x1}}
{
   1xx100x110 \ {
   1xx100x110, 100100x110, 1x1100x110, 10x100x110}, 1111x0x11x \ {
   111110x110, 111100x111, 1111x0x111, 1111x00111, 1111x0x110, 111100x11x, 111100x11x, 111110x11x}, 1xx101xx10 \ {
   1xx1010x10, 1xx101x010, 100101xx10, 1x1101xx10, 10x101xx10}, 111x01xxx0 \ {
   111101xx00, 111001xx10, 111x010x10, 111x010x00, 111x01x0x0, 111x01xxx0, 111101xxx0}, 111x10xxx1 \ {
   111110xx01, 111010xx11, 111x101001, 111x100x11, 111x10xx11, 111x10xxx1}}

{x1x00 \ {01x00, 11x00, x1000}}
{01xxx \ {0111x, 011x1, 01x0x}}
{
   01x00x1x00 \ {
   01x0001x00, 01x0011x00, 01x00x1000, 01x00x1x00}}

{010xx \ {01000, 0101x, 01011}}
{1x110 \ {11110, 10110}, 0011x \ {00111, 00110}}
{
   1x11001010 \ {
   1x11001010, 1111001010, 1011001010}, 0011x0101x \ {
   0011101010, 0011001011, 0011x0101x, 0011x01011, 001110101x, 001100101x}}

{x01x0 \ {x0110, x0100}, 1x101 \ {10101}}
{x0x1x \ {x001x, 10x11, 00111}}
{
   x0x10x0110 \ {
   x0x10x0110, x0010x0110}}

{101x1 \ {10101, 10111, 10111}, 0010x \ {00101, 00100, 00100}}
{0x1x1 \ {01101, 00111}, xxx00 \ {xx100, 11000, 10000}}
{
   0x1x1101x1 \ {
   0x11110101, 0x10110111, 0x1x110101, 0x1x110111, 0x1x110111, 01101101x1, 00111101x1}, 0x10100101 \ {
   0x10100101, 0110100101}, xxx0000100 \ {
   xxx0000100, xxx0000100, xx10000100, 1100000100, 1000000100}}

{}
{01x10 \ {01110, 01010}}
{}

{11xxx \ {11x1x, 11001, 11x01}, 011x0 \ {01110, 01100}}
{0xx10 \ {00010, 01x10, 00110}}
{
   0xx1011x10 \ {
   0xx1011x10, 0001011x10, 01x1011x10, 0011011x10}, 0xx1001110 \ {
   0xx1001110, 0001001110, 01x1001110, 0011001110}}

{1x10x \ {11100, 1010x, 1x101}, 1xx1x \ {10011, 1xx10, 1101x}}
{10x10 \ {10110}, 01xxx \ {010xx, 01010, 01xx1}, xx1xx \ {0x1xx, x01xx, xx11x}}
{
   01x0x1x10x \ {
   01x011x100, 01x001x101, 01x0x11100, 01x0x1010x, 01x0x1x101, 0100x1x10x, 01x011x10x}, xx10x1x10x \ {
   xx1011x100, xx1001x101, xx10x11100, xx10x1010x, xx10x1x101, 0x10x1x10x, x010x1x10x}, 10x101xx10 \ {
   10x101xx10, 10x1011010, 101101xx10}, 01x1x1xx1x \ {
   01x111xx10, 01x101xx11, 01x1x10011, 01x1x1xx10, 01x1x1101x, 0101x1xx1x, 010101xx1x, 01x111xx1x}, xx11x1xx1x \ {
   xx1111xx10, xx1101xx11, xx11x10011, xx11x1xx10, xx11x1101x, 0x11x1xx1x, x011x1xx1x, xx11x1xx1x}}

{01x0x \ {01101, 0110x, 01x01}, 00x10 \ {00010, 00110, 00110}}
{001x1 \ {00101, 00111}, x0xx1 \ {00x01, x0011, 10x01}}
{
   0010101x01 \ {
   0010101101, 0010101101, 0010101x01, 0010101x01}, x0x0101x01 \ {
   x0x0101101, x0x0101101, x0x0101x01, 00x0101x01, 10x0101x01}}

{xx101 \ {01101, x1101, x0101}, 101x0 \ {10110, 10100}, 11x00 \ {11000}}
{}
{}

{10x11 \ {10111, 10011, 10011}, xx001 \ {x0001, 01001, 01001}}
{}
{}

{0xx0x \ {01x01, 0x10x}}
{}
{}

{10xx0 \ {10100, 10110, 10010}, xx0xx \ {000x1, 10001, x00xx}}
{}
{}

{0xxx0 \ {01x10, 00100, 0xx10}, 0110x \ {01100, 01101}}
{01x1x \ {0101x, 01110, 01x11}, 1x01x \ {1x011, 1001x, 1001x}}
{
   01x100xx10 \ {
   01x1001x10, 01x100xx10, 010100xx10, 011100xx10}, 1x0100xx10 \ {
   1x01001x10, 1x0100xx10, 100100xx10, 100100xx10}}

{0x0xx \ {010x0, 010x1, 01001}, 0x0xx \ {0x0x1, 01000, 0100x}, 11x10 \ {11110, 11010}}
{011x0 \ {01100}, 110x0 \ {11000}}
{
   011x00x0x0 \ {
   011100x000, 011000x010, 011x001000, 011x001000, 011000x0x0}, 110x00x0x0 \ {
   110100x000, 110000x010, 110x001000, 110x001000, 110000x0x0}, 0111011x10 \ {
   0111011110, 0111011010}, 1101011x10 \ {
   1101011110, 1101011010}}

{x11x0 \ {011x0, x1110, 111x0}, 0xx01 \ {00001, 01101, 00101}}
{x000x \ {10000, 10001, 00001}}
{
   x0000x1100 \ {
   x000001100, x000011100, 10000x1100}, x00010xx01 \ {
   x000100001, x000101101, x000100101, 100010xx01, 000010xx01}}

{10xxx \ {10001, 10x0x, 10100}, xx0x1 \ {0x0x1, xx001, x0011}}
{0xx1x \ {0x11x, 0x010, 0111x}, 000xx \ {0000x, 00001, 0001x}}
{
   0xx1x10x1x \ {
   0xx1110x10, 0xx1010x11, 0x11x10x1x, 0x01010x1x, 0111x10x1x}, 000xx10xxx \ {
   000x110xx0, 000x010xx1, 0001x10x0x, 0000x10x1x, 000xx10001, 000xx10x0x, 000xx10100, 0000x10xxx, 0000110xxx, 0001x10xxx}, 0xx11xx011 \ {
   0xx110x011, 0xx11x0011, 0x111xx011, 01111xx011}, 000x1xx0x1 \ {
   00011xx001, 00001xx011, 000x10x0x1, 000x1xx001, 000x1x0011, 00001xx0x1, 00001xx0x1, 00011xx0x1}}

{x00xx \ {1000x, x001x, 100xx}, xxx10 \ {01x10, 10x10, 00x10}}
{01xxx \ {01010, 01101, 01110}, x100x \ {01001, 01000, 11001}}
{
   01xxxx00xx \ {
   01xx1x00x0, 01xx0x00x1, 01x1xx000x, 01x0xx001x, 01xxx1000x, 01xxxx001x, 01xxx100xx, 01010x00xx, 01101x00xx, 01110x00xx}, x100xx000x \ {
   x1001x0000, x1000x0001, x100x1000x, x100x1000x, 01001x000x, 01000x000x, 11001x000x}, 01x10xxx10 \ {
   01x1001x10, 01x1010x10, 01x1000x10, 01010xxx10, 01110xxx10}}

{00x10 \ {00110, 00010}}
{00xxx \ {00101, 0010x, 001x0}}
{
   00x1000x10 \ {
   00x1000110, 00x1000010, 0011000x10}}

{111xx \ {111x0, 11100}}
{x101x \ {x1011, 01011}, x11xx \ {x11x0, 11100, x110x}}
{
   x101x1111x \ {
   x101111110, x101011111, x101x11110, x10111111x, 010111111x}, x11xx111xx \ {
   x11x1111x0, x11x0111x1, x111x1110x, x110x1111x, x11xx111x0, x11xx11100, x11x0111xx, 11100111xx, x110x111xx}}

{x00xx \ {10000, x0011, x00x0}, xx1x0 \ {0x1x0, xx110, xx100}}
{10x1x \ {10110, 10x11}, x110x \ {x1101, 0110x, 1110x}}
{
   10x1xx001x \ {
   10x11x0010, 10x10x0011, 10x1xx0011, 10x1xx0010, 10110x001x, 10x11x001x}, x110xx000x \ {
   x1101x0000, x1100x0001, x110x10000, x110xx0000, x1101x000x, 0110xx000x, 1110xx000x}, 10x10xx110 \ {
   10x100x110, 10x10xx110, 10110xx110}, x1100xx100 \ {
   x11000x100, x1100xx100, 01100xx100, 11100xx100}}

{x011x \ {10110, 00111, x0111}}
{0x1x1 \ {001x1, 00101, 011x1}, 000x1 \ {00001}}
{
   0x111x0111 \ {
   0x11100111, 0x111x0111, 00111x0111, 01111x0111}, 00011x0111 \ {
   0001100111, 00011x0111}}

{xxxxx \ {10101, x1xx1, xx1xx}, 0xx10 \ {0x110, 01110, 01010}}
{10x01 \ {10101}, x1x0x \ {x1100, 1110x, x110x}}
{
   10x01xxx01 \ {
   10x0110101, 10x01x1x01, 10x01xx101, 10101xxx01}, x1x0xxxx0x \ {
   x1x01xxx00, x1x00xxx01, x1x0x10101, x1x0xx1x01, x1x0xxx10x, x1100xxx0x, 1110xxxx0x, x110xxxx0x}}

{1x1x1 \ {11111, 11101, 10111}}
{x110x \ {0110x, 11101}}
{
   x11011x101 \ {
   x110111101, 011011x101, 111011x101}}

{}
{xx001 \ {1x001, 11001, 11001}}
{}

{00x0x \ {00x00, 00x01, 0010x}, 0110x \ {01101}, x01x0 \ {x0110, 10110, 10110}}
{}
{}

{1x0xx \ {100x1, 1x000}}
{xxx01 \ {11001, 10x01, 01101}, x0x0x \ {10000, 00101, x0101}, 0x10x \ {00100, 0010x, 0010x}}
{
   xxx011x001 \ {
   xxx0110001, 110011x001, 10x011x001, 011011x001}, x0x0x1x00x \ {
   x0x011x000, x0x001x001, x0x0x10001, x0x0x1x000, 100001x00x, 001011x00x, x01011x00x}, 0x10x1x00x \ {
   0x1011x000, 0x1001x001, 0x10x10001, 0x10x1x000, 001001x00x, 0010x1x00x, 0010x1x00x}}

{xx10x \ {x110x, 10101, 11100}}
{1011x \ {10111, 10110, 10110}, x0xxx \ {x0100, 00100, 00001}}
{
   x0x0xxx10x \ {
   x0x01xx100, x0x00xx101, x0x0xx110x, x0x0x10101, x0x0x11100, x0100xx10x, 00100xx10x, 00001xx10x}}

{x1x11 \ {x1011, 11011, 11x11}, xx10x \ {1110x, 1x100, 0x100}}
{xxx1x \ {x1110, 00111, 01x1x}}
{
   xxx11x1x11 \ {
   xxx11x1011, xxx1111011, xxx1111x11, 00111x1x11, 01x11x1x11}}

{x0x11 \ {10011, x0111, 00x11}}
{xxxx1 \ {0x101, 000x1, 00101}}
{
   xxx11x0x11 \ {
   xxx1110011, xxx11x0111, xxx1100x11, 00011x0x11}}

{01xxx \ {011x0, 01x00, 01x01}, x1xxx \ {11101, 11011, x1x11}}
{xx111 \ {x1111, 1x111, x0111}, x0xx1 \ {10001, 10111, 001x1}}
{
   xx11101x11 \ {
   x111101x11, 1x11101x11, x011101x11}, x0xx101xx1 \ {
   x0x1101x01, x0x0101x11, x0xx101x01, 1000101xx1, 1011101xx1, 001x101xx1}, xx111x1x11 \ {
   xx11111011, xx111x1x11, x1111x1x11, 1x111x1x11, x0111x1x11}, x0xx1x1xx1 \ {
   x0x11x1x01, x0x01x1x11, x0xx111101, x0xx111011, x0xx1x1x11, 10001x1xx1, 10111x1xx1, 001x1x1xx1}}

{xx001 \ {1x001, 0x001, 10001}, 011xx \ {0110x, 01101, 0111x}}
{100xx \ {10001, 100x1}}
{
   10001xx001 \ {
   100011x001, 100010x001, 1000110001, 10001xx001, 10001xx001}, 100xx011xx \ {
   100x1011x0, 100x0011x1, 1001x0110x, 1000x0111x, 100xx0110x, 100xx01101, 100xx0111x, 10001011xx, 100x1011xx}}

{01xx1 \ {01111, 01001}}
{x0xx1 \ {00001, x00x1, x0001}}
{
   x0xx101xx1 \ {
   x0x1101x01, x0x0101x11, x0xx101111, x0xx101001, 0000101xx1, x00x101xx1, x000101xx1}}

{x110x \ {1110x, 01101, x1101}, x11x0 \ {11100, 011x0}}
{x011x \ {00110, 0011x, 1011x}, 01xxx \ {010x1, 01100}}
{
   01x0xx110x \ {
   01x01x1100, 01x00x1101, 01x0x1110x, 01x0x01101, 01x0xx1101, 01001x110x, 01100x110x}, x0110x1110 \ {
   x011001110, 00110x1110, 00110x1110, 10110x1110}, 01xx0x11x0 \ {
   01x10x1100, 01x00x1110, 01xx011100, 01xx0011x0, 01100x11x0}}

{11xx1 \ {11101, 11111, 111x1}}
{1x001 \ {11001, 10001}, xxxx0 \ {101x0, 0xx10, 1x100}, 1xxx1 \ {10xx1, 10101, 1xx01}}
{
   1x00111x01 \ {
   1x00111101, 1x00111101, 1100111x01, 1000111x01}, 1xxx111xx1 \ {
   1xx1111x01, 1xx0111x11, 1xxx111101, 1xxx111111, 1xxx1111x1, 10xx111xx1, 1010111xx1, 1xx0111xx1}}

{x011x \ {x0111, 1011x, 00110}}
{x0010 \ {10010, 00010, 00010}, 00x1x \ {00010, 00011, 00110}}
{
   x0010x0110 \ {
   x001010110, x001000110, 10010x0110, 00010x0110, 00010x0110}, 00x1xx011x \ {
   00x11x0110, 00x10x0111, 00x1xx0111, 00x1x1011x, 00x1x00110, 00010x011x, 00011x011x, 00110x011x}}

{x010x \ {00100, x0100, 10100}, 01x10 \ {01110, 01010}}
{0xx0x \ {0xx01, 0000x, 0x100}}
{
   0xx0xx010x \ {
   0xx01x0100, 0xx00x0101, 0xx0x00100, 0xx0xx0100, 0xx0x10100, 0xx01x010x, 0000xx010x, 0x100x010x}}

{011xx \ {011x0, 01101, 0111x}, xx1xx \ {x110x, x01x0, 0111x}}
{00x01 \ {00101, 00001}, 0xxx1 \ {00111, 00001, 00011}}
{
   00x0101101 \ {
   00x0101101, 0010101101, 0000101101}, 0xxx1011x1 \ {
   0xx1101101, 0xx0101111, 0xxx101101, 0xxx101111, 00111011x1, 00001011x1, 00011011x1}, 00x01xx101 \ {
   00x01x1101, 00101xx101, 00001xx101}, 0xxx1xx1x1 \ {
   0xx11xx101, 0xx01xx111, 0xxx1x1101, 0xxx101111, 00111xx1x1, 00001xx1x1, 00011xx1x1}}

{111xx \ {111x1, 1111x, 1111x}, x011x \ {x0111, 00110}}
{xx11x \ {xx110, x1111, 01111}, x10xx \ {01001, 1101x, 11010}}
{
   xx11x1111x \ {
   xx11111110, xx11011111, xx11x11111, xx11x1111x, xx11x1111x, xx1101111x, x11111111x, 011111111x}, x10xx111xx \ {
   x10x1111x0, x10x0111x1, x101x1110x, x100x1111x, x10xx111x1, x10xx1111x, x10xx1111x, 01001111xx, 1101x111xx, 11010111xx}, xx11xx011x \ {
   xx111x0110, xx110x0111, xx11xx0111, xx11x00110, xx110x011x, x1111x011x, 01111x011x}, x101xx011x \ {
   x1011x0110, x1010x0111, x101xx0111, x101x00110, 1101xx011x, 11010x011x}}

{x1xx1 \ {010x1, 11x01, x1111}}
{0x10x \ {0x101, 00101, 00100}}
{
   0x101x1x01 \ {
   0x10101001, 0x10111x01, 0x101x1x01, 00101x1x01}}

{}
{11x1x \ {11010, 11x10, 1111x}}
{}

{1001x \ {10011, 10010}}
{x000x \ {10000, x0000, 1000x}, 1x001 \ {10001, 11001}, 0xxxx \ {0000x, 0x10x, 0x0xx}}
{
   0xx1x1001x \ {
   0xx1110010, 0xx1010011, 0xx1x10011, 0xx1x10010, 0x01x1001x}}

{xx0xx \ {x0001, 0x01x, x000x}, xx00x \ {x1000, x100x, 1x001}, xx1x0 \ {11110, 01100, 11100}}
{xx101 \ {1x101, 01101, 0x101}, 01xxx \ {011x1, 01001, 0101x}}
{
   xx101xx001 \ {
   xx101x0001, xx101x0001, 1x101xx001, 01101xx001, 0x101xx001}, 01xxxxx0xx \ {
   01xx1xx0x0, 01xx0xx0x1, 01x1xxx00x, 01x0xxx01x, 01xxxx0001, 01xxx0x01x, 01xxxx000x, 011x1xx0xx, 01001xx0xx, 0101xxx0xx}, xx101xx001 \ {
   xx101x1001, xx1011x001, 1x101xx001, 01101xx001, 0x101xx001}, 01x0xxx00x \ {
   01x01xx000, 01x00xx001, 01x0xx1000, 01x0xx100x, 01x0x1x001, 01101xx00x, 01001xx00x}, 01xx0xx1x0 \ {
   01x10xx100, 01x00xx110, 01xx011110, 01xx001100, 01xx011100, 01010xx1x0}}

{1xxx0 \ {10010, 10000, 110x0}, 0x001 \ {01001, 00001}}
{x1x11 \ {01011, 11x11, 11x11}}
{}

{111xx \ {11110, 11100, 11111}, x110x \ {01100, 1110x, x1100}}
{}
{}

{1x0x1 \ {10001, 110x1, 110x1}}
{10xx0 \ {100x0, 10x10}, xx11x \ {1x110, 0111x, 11110}, 01x00 \ {01100, 01000, 01000}}
{
   xx1111x011 \ {
   xx11111011, xx11111011, 011111x011}}

{1001x \ {10010, 10011}}
{}
{}

{101x0 \ {10100, 10110}, 1x1x1 \ {11111, 10101, 10111}}
{1x0xx \ {1x000, 1001x, 1000x}}
{
   1x0x0101x0 \ {
   1x01010100, 1x00010110, 1x0x010100, 1x0x010110, 1x000101x0, 10010101x0, 10000101x0}, 1x0x11x1x1 \ {
   1x0111x101, 1x0011x111, 1x0x111111, 1x0x110101, 1x0x110111, 100111x1x1, 100011x1x1}}

{x11x0 \ {11110, 111x0, x1100}, xx0xx \ {1000x, 0x00x, 00001}, 1xxxx \ {1x11x, 101xx, 10000}}
{1xx01 \ {10x01, 11x01, 10101}, 0x1xx \ {0110x, 001xx, 0x101}, x101x \ {11010, x1011, 01011}}
{
   0x1x0x11x0 \ {
   0x110x1100, 0x100x1110, 0x1x011110, 0x1x0111x0, 0x1x0x1100, 01100x11x0, 001x0x11x0}, x1010x1110 \ {
   x101011110, x101011110, 11010x1110}, 1xx01xx001 \ {
   1xx0110001, 1xx010x001, 1xx0100001, 10x01xx001, 11x01xx001, 10101xx001}, 0x1xxxx0xx \ {
   0x1x1xx0x0, 0x1x0xx0x1, 0x11xxx00x, 0x10xxx01x, 0x1xx1000x, 0x1xx0x00x, 0x1xx00001, 0110xxx0xx, 001xxxx0xx, 0x101xx0xx}, x101xxx01x \ {
   x1011xx010, x1010xx011, 11010xx01x, x1011xx01x, 01011xx01x}, 1xx011xx01 \ {
   1xx0110101, 10x011xx01, 11x011xx01, 101011xx01}, 0x1xx1xxxx \ {
   0x1x11xxx0, 0x1x01xxx1, 0x11x1xx0x, 0x10x1xx1x, 0x1xx1x11x, 0x1xx101xx, 0x1xx10000, 0110x1xxxx, 001xx1xxxx, 0x1011xxxx}, x101x1xx1x \ {
   x10111xx10, x10101xx11, x101x1x11x, x101x1011x, 110101xx1x, x10111xx1x, 010111xx1x}}

{0111x \ {01111, 01110}}
{0x00x \ {00000, 0x001, 0100x}, x1x0x \ {01101, 01001, x100x}, x0xxx \ {00100, 001x1, 00x01}}
{
   x0x1x0111x \ {
   x0x1101110, x0x1001111, x0x1x01111, x0x1x01110, 001110111x}}

{x11x0 \ {011x0, 11100}, xxx0x \ {xx001, x000x, xxx00}, x1x1x \ {x1111, 1101x, x1110}}
{01x0x \ {0100x, 01001, 01101}}
{
   01x00x1100 \ {
   01x0001100, 01x0011100, 01000x1100}, 01x0xxxx0x \ {
   01x01xxx00, 01x00xxx01, 01x0xxx001, 01x0xx000x, 01x0xxxx00, 0100xxxx0x, 01001xxx0x, 01101xxx0x}}

{}
{xx1xx \ {0x101, 101xx, 0x110}, 0xx00 \ {0x100, 01000, 01000}}
{}

{}
{00x1x \ {00010, 0011x, 00110}, x0x1x \ {x0110, 10111, 10x10}}
{}

{}
{10xxx \ {10001, 10011, 10xx0}, x1xxx \ {1101x, x1001, 11xx0}, x1xx1 \ {01111, 11101, 11x11}}
{}

{x1x11 \ {11x11, 11011, 11111}, xxx10 \ {x0110, 00x10, 11x10}}
{xx100 \ {11100, x1100, 1x100}, 1x01x \ {11011, 10010, 1001x}}
{
   1x011x1x11 \ {
   1x01111x11, 1x01111011, 1x01111111, 11011x1x11, 10011x1x11}, 1x010xxx10 \ {
   1x010x0110, 1x01000x10, 1x01011x10, 10010xxx10, 10010xxx10}}

{10xx1 \ {10011, 10001, 10x01}}
{01x1x \ {0101x, 01110}}
{
   01x1110x11 \ {
   01x1110011, 0101110x11}}

{xx010 \ {1x010, 10010, 11010}, xx10x \ {11101, 0x100, 11100}}
{x0x10 \ {x0010, x0110, 00110}, 00xx1 \ {00101, 001x1, 000x1}}
{
   x0x10xx010 \ {
   x0x101x010, x0x1010010, x0x1011010, x0010xx010, x0110xx010, 00110xx010}, 00x01xx101 \ {
   00x0111101, 00101xx101, 00101xx101, 00001xx101}}

{x1xxx \ {01000, x1xx1, 01x00}, 00x01 \ {00001, 00101}}
{x110x \ {11100, 11101, x1100}, 1xx1x \ {11x11, 1x010, 1x011}}
{
   x110xx1x0x \ {
   x1101x1x00, x1100x1x01, x110x01000, x110xx1x01, x110x01x00, 11100x1x0x, 11101x1x0x, x1100x1x0x}, 1xx1xx1x1x \ {
   1xx11x1x10, 1xx10x1x11, 1xx1xx1x11, 11x11x1x1x, 1x010x1x1x, 1x011x1x1x}, x110100x01 \ {
   x110100001, x110100101, 1110100x01}}

{1x00x \ {11000, 10001, 11001}, 10xx1 \ {101x1, 10111}, 10x1x \ {10x10, 10x11, 10111}}
{00xx0 \ {001x0, 00000, 00110}}
{
   00x001x000 \ {
   00x0011000, 001001x000, 000001x000}, 00x1010x10 \ {
   00x1010x10, 0011010x10, 0011010x10}}

{x0x1x \ {00x10, 00x1x}, 11x1x \ {1111x}}
{01xx0 \ {01x00, 010x0}, xx111 \ {11111, 0x111, 1x111}}
{
   01x10x0x10 \ {
   01x1000x10, 01x1000x10, 01010x0x10}, xx111x0x11 \ {
   xx11100x11, 11111x0x11, 0x111x0x11, 1x111x0x11}, 01x1011x10 \ {
   01x1011110, 0101011x10}, xx11111x11 \ {
   xx11111111, 1111111x11, 0x11111x11, 1x11111x11}}

{x1xx1 \ {010x1, 01011, x1x01}}
{0x0x0 \ {0x010, 01000, 0x000}, 011xx \ {01100, 01110, 01110}}
{
   011x1x1xx1 \ {
   01111x1x01, 01101x1x11, 011x1010x1, 011x101011, 011x1x1x01}}

{0xx10 \ {00110, 01110, 0x010}, 01x0x \ {0100x, 01000, 01000}}
{xx1xx \ {x010x, 0110x, 101xx}, 00xx1 \ {00x01, 00011}}
{
   xx1100xx10 \ {
   xx11000110, xx11001110, xx1100x010, 101100xx10}, xx10x01x0x \ {
   xx10101x00, xx10001x01, xx10x0100x, xx10x01000, xx10x01000, x010x01x0x, 0110x01x0x, 1010x01x0x}, 00x0101x01 \ {
   00x0101001, 00x0101x01}}

{x0x1x \ {00x11, 10011, 00x10}, x1xxx \ {x1100, 11011, x1x01}}
{010xx \ {010x0, 01010, 01011}, xx100 \ {00100, 1x100, 11100}}
{
   0101xx0x1x \ {
   01011x0x10, 01010x0x11, 0101x00x11, 0101x10011, 0101x00x10, 01010x0x1x, 01010x0x1x, 01011x0x1x}, 010xxx1xxx \ {
   010x1x1xx0, 010x0x1xx1, 0101xx1x0x, 0100xx1x1x, 010xxx1100, 010xx11011, 010xxx1x01, 010x0x1xxx, 01010x1xxx, 01011x1xxx}, xx100x1x00 \ {
   xx100x1100, 00100x1x00, 1x100x1x00, 11100x1x00}}

{1x0x0 \ {100x0, 11010, 11000}, 00x0x \ {00101, 00x00, 0010x}, x1x11 \ {01111, 01011, 01011}}
{0111x \ {01110, 01111}}
{
   011101x010 \ {
   0111010010, 0111011010, 011101x010}, 01111x1x11 \ {
   0111101111, 0111101011, 0111101011, 01111x1x11}}

{xx1x1 \ {x1101, x01x1, 00101}}
{0011x \ {00110, 00111}}
{
   00111xx111 \ {
   00111x0111, 00111xx111}}

{}
{x1x0x \ {x1101, x100x, 11x01}}
{}

{xx011 \ {x0011, 10011, 0x011}, xx00x \ {1x000, 01000, 01000}}
{}
{}

{1x001 \ {11001, 10001}, 10xx0 \ {10x00, 10100, 100x0}}
{1x011 \ {11011, 10011, 10011}}
{}

{xxx1x \ {x1x11, xx11x, 1011x}, x1x11 \ {11111, 11011, 01111}}
{x01x0 \ {x0100, x0110, 10110}}
{
   x0110xxx10 \ {
   x0110xx110, x011010110, x0110xxx10, 10110xxx10}}

{x0xx0 \ {10000, 00100, x0x00}}
{00xx1 \ {00001, 001x1, 00011}, 1101x \ {11010}, 01x0x \ {01001, 01x01, 0100x}}
{
   11010x0x10 \ {
   11010x0x10}, 01x00x0x00 \ {
   01x0010000, 01x0000100, 01x00x0x00, 01000x0x00}}

{x1x10 \ {11x10, x1110, 01x10}, 110xx \ {1101x, 11000, 11010}}
{1011x \ {10110}}
{
   10110x1x10 \ {
   1011011x10, 10110x1110, 1011001x10, 10110x1x10}, 1011x1101x \ {
   1011111010, 1011011011, 1011x1101x, 1011x11010, 101101101x}}

{1xxx1 \ {11111, 1x011, 10xx1}, 110xx \ {11000, 1101x, 110x1}}
{1xx0x \ {11x00, 10x0x, 10x01}}
{
   1xx011xx01 \ {
   1xx0110x01, 10x011xx01, 10x011xx01}, 1xx0x1100x \ {
   1xx0111000, 1xx0011001, 1xx0x11000, 1xx0x11001, 11x001100x, 10x0x1100x, 10x011100x}}

{x1xxx \ {11x10, 11100, 010xx}}
{}
{}

{01x00 \ {01100, 01000}}
{1xx1x \ {11x10, 11010, 1x111}, 10x10 \ {10110}}
{}

{}
{0x010 \ {01010}, xx101 \ {11101, 00101, 01101}}
{}

{000xx \ {000x0, 0001x, 00011}}
{x11xx \ {x1110, 111xx, x11x0}, x101x \ {x1011, 11011}}
{
   x11xx000xx \ {
   x11x1000x0, x11x0000x1, x111x0000x, x110x0001x, x11xx000x0, x11xx0001x, x11xx00011, x1110000xx, 111xx000xx, x11x0000xx}, x101x0001x \ {
   x101100010, x101000011, x101x00010, x101x0001x, x101x00011, x10110001x, 110110001x}}

{01x1x \ {0111x, 01011}}
{0xxx0 \ {00100, 01110, 0x010}, xx000 \ {0x000, 10000, 10000}}
{
   0xx1001x10 \ {
   0xx1001110, 0111001x10, 0x01001x10}}

{x100x \ {01000, 0100x, 11001}}
{11xx1 \ {11111, 111x1}, x1xx0 \ {11x00, 11100, x1110}}
{
   11x01x1001 \ {
   11x0101001, 11x0111001, 11101x1001}, x1x00x1000 \ {
   x1x0001000, x1x0001000, 11x00x1000, 11100x1000}}

{x1xxx \ {11xxx, 1101x, 0111x}, 1xxx1 \ {1x0x1, 10001, 11x01}}
{x00x1 \ {000x1, 00001, x0001}, xx11x \ {x111x, 0x11x, 0x111}}
{
   x00x1x1xx1 \ {
   x0011x1x01, x0001x1x11, x00x111xx1, x00x111011, x00x101111, 000x1x1xx1, 00001x1xx1, x0001x1xx1}, xx11xx1x1x \ {
   xx111x1x10, xx110x1x11, xx11x11x1x, xx11x1101x, xx11x0111x, x111xx1x1x, 0x11xx1x1x, 0x111x1x1x}, x00x11xxx1 \ {
   x00111xx01, x00011xx11, x00x11x0x1, x00x110001, x00x111x01, 000x11xxx1, 000011xxx1, x00011xxx1}, xx1111xx11 \ {
   xx1111x011, x11111xx11, 0x1111xx11, 0x1111xx11}}

{11xx0 \ {11x10, 11110}, x0010 \ {00010, 10010}}
{x0xx0 \ {x0000, x0100, 10110}, x0xx0 \ {10000, x0100, 10x00}}
{
   x0xx011xx0 \ {
   x0x1011x00, x0x0011x10, x0xx011x10, x0xx011110, x000011xx0, x010011xx0, 1011011xx0}, x0xx011xx0 \ {
   x0x1011x00, x0x0011x10, x0xx011x10, x0xx011110, 1000011xx0, x010011xx0, 10x0011xx0}, x0x10x0010 \ {
   x0x1000010, x0x1010010}}

{x110x \ {x1100, 11100, 0110x}, xxx01 \ {xx101, 00001, 1xx01}}
{xx101 \ {x0101, x1101, 11101}, x101x \ {11010, x1010}}
{
   xx101x1101 \ {
   xx10101101, x0101x1101, x1101x1101, 11101x1101}, xx101xxx01 \ {
   xx101xx101, xx10100001, xx1011xx01, x0101xxx01, x1101xxx01, 11101xxx01}}

{x000x \ {x0001, 1000x, 0000x}, x0xxx \ {00101, 00x0x, x000x}}
{10xx0 \ {10010, 101x0, 101x0}}
{
   10x00x0000 \ {
   10x0010000, 10x0000000, 10100x0000, 10100x0000}, 10xx0x0xx0 \ {
   10x10x0x00, 10x00x0x10, 10xx000x00, 10xx0x0000, 10010x0xx0, 101x0x0xx0, 101x0x0xx0}}

{01xxx \ {01x00, 01x0x, 01000}, x11xx \ {01101, 0111x, 1110x}}
{1xxx1 \ {10x01, 100x1, 1x101}}
{
   1xxx101xx1 \ {
   1xx1101x01, 1xx0101x11, 1xxx101x01, 10x0101xx1, 100x101xx1, 1x10101xx1}, 1xxx1x11x1 \ {
   1xx11x1101, 1xx01x1111, 1xxx101101, 1xxx101111, 1xxx111101, 10x01x11x1, 100x1x11x1, 1x101x11x1}}

{}
{x001x \ {00010, 10011, 0001x}, 0x0x1 \ {0x011, 0x001, 01001}}
{}

{01xx1 \ {011x1, 010x1}, 0xxx0 \ {01110, 00100, 01000}}
{}
{}

{1xxx0 \ {100x0, 10010, 110x0}}
{x0110 \ {00110}}
{
   x01101xx10 \ {
   x011010010, x011010010, x011011010, 001101xx10}}

{10x1x \ {10x11, 10011, 10111}, 0xx0x \ {0xx01, 0x001, 0x000}}
{x0x11 \ {10x11, 10011, x0011}}
{
   x0x1110x11 \ {
   x0x1110x11, x0x1110011, x0x1110111, 10x1110x11, 1001110x11, x001110x11}}

{10x00 \ {10000, 10100}, 11xxx \ {11001, 11111, 111xx}}
{1x1x1 \ {11111, 11101, 10101}}
{
   1x1x111xx1 \ {
   1x11111x01, 1x10111x11, 1x1x111001, 1x1x111111, 1x1x1111x1, 1111111xx1, 1110111xx1, 1010111xx1}}

{0x01x \ {00011, 0101x, 0101x}, 0xx01 \ {01001, 0x001}}
{10xxx \ {10111, 100xx, 10x01}}
{
   10x1x0x01x \ {
   10x110x010, 10x100x011, 10x1x00011, 10x1x0101x, 10x1x0101x, 101110x01x, 1001x0x01x}, 10x010xx01 \ {
   10x0101001, 10x010x001, 100010xx01, 10x010xx01}}

{}
{11xxx \ {11110, 1110x, 11x1x}, x101x \ {x1011, 0101x, 11011}, 01x1x \ {01x10, 0101x, 0111x}}
{}

{01x0x \ {0100x, 01101, 01101}}
{11xx0 \ {11100, 11010, 11110}, xx1x0 \ {00100, 00110, 00110}, 110xx \ {11010, 110x1, 1101x}}
{
   11x0001x00 \ {
   11x0001000, 1110001x00}, xx10001x00 \ {
   xx10001000, 0010001x00}, 1100x01x0x \ {
   1100101x00, 1100001x01, 1100x0100x, 1100x01101, 1100x01101, 1100101x0x}}

{1001x \ {10010, 10011}, x110x \ {01100, x1101}, xx1xx \ {0x10x, 1x11x, 0x101}}
{}
{}

{xx10x \ {00100, 10101, xx101}}
{1x01x \ {1x011, 1001x}}
{}

{xx0x0 \ {01010, 010x0, xx010}}
{1x1x0 \ {1x100, 111x0}}
{
   1x1x0xx0x0 \ {
   1x110xx000, 1x100xx010, 1x1x001010, 1x1x0010x0, 1x1x0xx010, 1x100xx0x0, 111x0xx0x0}}

{00xx0 \ {000x0}}
{}
{}

{}
{xxx11 \ {01111, 10111, 11x11}, x00x1 \ {000x1, 10001, 00011}, x0xx0 \ {00000, x0x10, 10x00}}
{}

{}
{xxx01 \ {0x001, x1x01, 11x01}, 11x0x \ {11000, 11101, 11x00}}
{}

{1x001 \ {10001, 11001}, 011x1 \ {01111}}
{}
{}

{01x0x \ {01x01, 01000}}
{xxx10 \ {xx110, 01010, 01010}}
{}

{0x000 \ {01000, 00000}}
{0x1x0 \ {00100, 01110, 00110}, xx11x \ {x1111, 10110, 0x111}}
{
   0x1000x000 \ {
   0x10001000, 0x10000000, 001000x000}}

{11x0x \ {1110x, 11101, 11000}, 0xx11 \ {01x11, 0x111}}
{10x00 \ {10100}, x0xx0 \ {00x00, x0110, 00000}}
{
   10x0011x00 \ {
   10x0011100, 10x0011000, 1010011x00}, x0x0011x00 \ {
   x0x0011100, x0x0011000, 00x0011x00, 0000011x00}}

{}
{x1x10 \ {11x10, x1110}, 0xx01 \ {00101, 0x101, 01001}, x001x \ {10010, 1001x, x0010}}
{}

{0xx1x \ {00010, 01x10, 0xx10}, 00xx1 \ {00101, 001x1, 00x01}}
{x1x01 \ {11101, 11001, x1001}, xx1xx \ {111x0, 01111, 0x100}}
{
   xx11x0xx1x \ {
   xx1110xx10, xx1100xx11, xx11x00010, xx11x01x10, xx11x0xx10, 111100xx1x, 011110xx1x}, x1x0100x01 \ {
   x1x0100101, x1x0100101, x1x0100x01, 1110100x01, 1100100x01, x100100x01}, xx1x100xx1 \ {
   xx11100x01, xx10100x11, xx1x100101, xx1x1001x1, xx1x100x01, 0111100xx1}}

{xxxxx \ {x1xxx, 1x111, 010x1}, xx0xx \ {11010, 1x01x, 0x0xx}, 01xx1 \ {01101, 01011, 01x01}}
{10x0x \ {10001, 1010x}, 01x0x \ {01100, 01101}}
{
   10x0xxxx0x \ {
   10x01xxx00, 10x00xxx01, 10x0xx1x0x, 10x0x01001, 10001xxx0x, 1010xxxx0x}, 01x0xxxx0x \ {
   01x01xxx00, 01x00xxx01, 01x0xx1x0x, 01x0x01001, 01100xxx0x, 01101xxx0x}, 10x0xxx00x \ {
   10x01xx000, 10x00xx001, 10x0x0x00x, 10001xx00x, 1010xxx00x}, 01x0xxx00x \ {
   01x01xx000, 01x00xx001, 01x0x0x00x, 01100xx00x, 01101xx00x}, 10x0101x01 \ {
   10x0101101, 10x0101x01, 1000101x01, 1010101x01}, 01x0101x01 \ {
   01x0101101, 01x0101x01, 0110101x01}}

{}
{}
{}

{}
{10x10 \ {10110, 10010, 10010}, x10xx \ {110xx, x1000, 11011}}
{}

{00x1x \ {00x10, 0011x, 00011}, 01x01 \ {01001, 01101}, xxxx0 \ {11010, 01x00, 1xx00}}
{xx11x \ {1x110, 0x11x, x0110}, x1x10 \ {11010, x1010, x1010}}
{
   xx11x00x1x \ {
   xx11100x10, xx11000x11, xx11x00x10, xx11x0011x, xx11x00011, 1x11000x1x, 0x11x00x1x, x011000x1x}, x1x1000x10 \ {
   x1x1000x10, x1x1000110, 1101000x10, x101000x10, x101000x10}, xx110xxx10 \ {
   xx11011010, 1x110xxx10, 0x110xxx10, x0110xxx10}, x1x10xxx10 \ {
   x1x1011010, 11010xxx10, x1010xxx10, x1010xxx10}}

{x10x1 \ {01011, 01001, 010x1}, xx110 \ {00110, x1110, 11110}}
{x0x0x \ {00001, 00x0x, 0010x}, xxx11 \ {1xx11, x1111}}
{
   x0x01x1001 \ {
   x0x0101001, x0x0101001, 00001x1001, 00x01x1001, 00101x1001}, xxx11x1011 \ {
   xxx1101011, xxx1101011, 1xx11x1011, x1111x1011}}

{x001x \ {1001x, 00011}, 1x0x0 \ {11010, 10010, 10010}}
{x1xxx \ {01110, 010x0, 01x0x}, 00x01 \ {00101, 00001}, 0xx01 \ {00001}}
{
   x1x1xx001x \ {
   x1x11x0010, x1x10x0011, x1x1x1001x, x1x1x00011, 01110x001x, 01010x001x}, x1xx01x0x0 \ {
   x1x101x000, x1x001x010, x1xx011010, x1xx010010, x1xx010010, 011101x0x0, 010x01x0x0, 01x001x0x0}}

{xx110 \ {11110, x0110}, x101x \ {0101x, x1011, 1101x}}
{xx00x \ {1x000, 11001, 10001}}
{}

{110xx \ {11000, 110x0}, 1xxx0 \ {1x110, 1x100, 1x0x0}}
{0x0x0 \ {0x000, 01010, 010x0}, xx010 \ {1x010, 11010}}
{
   0x0x0110x0 \ {
   0x01011000, 0x00011010, 0x0x011000, 0x0x0110x0, 0x000110x0, 01010110x0, 010x0110x0}, xx01011010 \ {
   xx01011010, 1x01011010, 1101011010}, 0x0x01xxx0 \ {
   0x0101xx00, 0x0001xx10, 0x0x01x110, 0x0x01x100, 0x0x01x0x0, 0x0001xxx0, 010101xxx0, 010x01xxx0}, xx0101xx10 \ {
   xx0101x110, xx0101x010, 1x0101xx10, 110101xx10}}

{x0010 \ {10010}, 011xx \ {01110, 011x1, 011x1}}
{}
{}

{xx100 \ {11100, x0100, 10100}}
{1xx01 \ {11x01, 11001, 1x101}, x0000 \ {10000}}
{
   x0000xx100 \ {
   x000011100, x0000x0100, x000010100, 10000xx100}}

{01xx1 \ {01101, 01111, 01111}, 0x0xx \ {00010, 010x0, 00001}, 10x0x \ {10x01, 1000x, 1000x}}
{xxx00 \ {01x00, 11100, 01000}, 1xxxx \ {1xx01, 1xxx0, 1x101}}
{
   1xxx101xx1 \ {
   1xx1101x01, 1xx0101x11, 1xxx101101, 1xxx101111, 1xxx101111, 1xx0101xx1, 1x10101xx1}, xxx000x000 \ {
   xxx0001000, 01x000x000, 111000x000, 010000x000}, 1xxxx0x0xx \ {
   1xxx10x0x0, 1xxx00x0x1, 1xx1x0x00x, 1xx0x0x01x, 1xxxx00010, 1xxxx010x0, 1xxxx00001, 1xx010x0xx, 1xxx00x0xx, 1x1010x0xx}, xxx0010x00 \ {
   xxx0010000, xxx0010000, 01x0010x00, 1110010x00, 0100010x00}, 1xx0x10x0x \ {
   1xx0110x00, 1xx0010x01, 1xx0x10x01, 1xx0x1000x, 1xx0x1000x, 1xx0110x0x, 1xx0010x0x, 1x10110x0x}}

{1xxxx \ {10001, 11001, 1x101}}
{0x100 \ {01100}}
{
   0x1001xx00 \ {
   011001xx00}}

{00xx1 \ {000x1, 00001, 00111}}
{}
{}

{x1x00 \ {01000, 11100, 11000}}
{0x1x0 \ {01110, 011x0}}
{
   0x100x1x00 \ {
   0x10001000, 0x10011100, 0x10011000, 01100x1x00}}

{0xx10 \ {01010, 00010, 00x10}, 1x00x \ {1100x, 10000, 1000x}}
{xxxx1 \ {00011, 010x1, 1x1x1}}
{
   xxx011x001 \ {
   xxx0111001, xxx0110001, 010011x001, 1x1011x001}}

{xxxxx \ {x1xx0, 11x01, xx1x0}}
{111xx \ {1110x, 111x0, 111x0}}
{
   111xxxxxxx \ {
   111x1xxxx0, 111x0xxxx1, 1111xxxx0x, 1110xxxx1x, 111xxx1xx0, 111xx11x01, 111xxxx1x0, 1110xxxxxx, 111x0xxxxx, 111x0xxxxx}}

{xx00x \ {1x000, 0x000, 1000x}}
{xx10x \ {0110x, x110x, 00101}, xxxxx \ {x11x0, 0x111, xx1xx}}
{
   xx10xxx00x \ {
   xx101xx000, xx100xx001, xx10x1x000, xx10x0x000, xx10x1000x, 0110xxx00x, x110xxx00x, 00101xx00x}, xxx0xxx00x \ {
   xxx01xx000, xxx00xx001, xxx0x1x000, xxx0x0x000, xxx0x1000x, x1100xx00x, xx10xxx00x}}

{1x011 \ {11011, 10011}, 1x0xx \ {110x1, 1x00x, 1x011}}
{x1xxx \ {x1111, x1xx0, 01110}}
{
   x1x111x011 \ {
   x1x1111011, x1x1110011, x11111x011}, x1xxx1x0xx \ {
   x1xx11x0x0, x1xx01x0x1, x1x1x1x00x, x1x0x1x01x, x1xxx110x1, x1xxx1x00x, x1xxx1x011, x11111x0xx, x1xx01x0xx, 011101x0xx}}

{x00x0 \ {00000, x0010}, 0xxx1 \ {00x11, 00011, 01011}}
{x100x \ {1100x, 0100x, x1000}}
{
   x1000x0000 \ {
   x100000000, 11000x0000, 01000x0000, x1000x0000}, x10010xx01 \ {
   110010xx01, 010010xx01}}

{x011x \ {10111, 0011x, 10110}, xx100 \ {1x100, x1100, 11100}}
{x0100 \ {10100, 00100, 00100}}
{
   x0100xx100 \ {
   x01001x100, x0100x1100, x010011100, 10100xx100, 00100xx100, 00100xx100}}

{1x010 \ {11010, 10010, 10010}, xxxxx \ {0x0xx, x1xx1, x0001}}
{xxx01 \ {00x01, x0x01, x1x01}}
{
   xxx01xxx01 \ {
   xxx010x001, xxx01x1x01, xxx01x0001, 00x01xxx01, x0x01xxx01, x1x01xxx01}}

{}
{1xx0x \ {1x10x, 11000, 1xx00}, x0x00 \ {10x00, x0000}}
{}

{xxx01 \ {0xx01, 00101, 01101}}
{xx0x0 \ {x1010, 10000, 1x000}, 0x11x \ {0x110, 01111, 01111}}
{}

{11x10 \ {11010, 11110}, 0010x \ {00101, 00100, 00100}, 11x11 \ {11011}}
{xxx10 \ {10x10, 0xx10, 11010}, x11xx \ {01110, x11x1, 1111x}, xx1xx \ {1x11x, 1x101, x0100}}
{
   xxx1011x10 \ {
   xxx1011010, xxx1011110, 10x1011x10, 0xx1011x10, 1101011x10}, x111011x10 \ {
   x111011010, x111011110, 0111011x10, 1111011x10}, xx11011x10 \ {
   xx11011010, xx11011110, 1x11011x10}, x110x0010x \ {
   x110100100, x110000101, x110x00101, x110x00100, x110x00100, x11010010x}, xx10x0010x \ {
   xx10100100, xx10000101, xx10x00101, xx10x00100, xx10x00100, 1x1010010x, x01000010x}, x111111x11 \ {
   x111111011, x111111x11, 1111111x11}, xx11111x11 \ {
   xx11111011, 1x11111x11}}

{1xx10 \ {1x110, 11110, 11x10}, xx10x \ {x0101, 01101, 0010x}}
{01xxx \ {01x0x, 01100, 0101x}}
{
   01x101xx10 \ {
   01x101x110, 01x1011110, 01x1011x10, 010101xx10}, 01x0xxx10x \ {
   01x01xx100, 01x00xx101, 01x0xx0101, 01x0x01101, 01x0x0010x, 01x0xxx10x, 01100xx10x}}

{}
{10xxx \ {10001, 100x1}}
{}

{11x1x \ {11111, 11011, 11010}, xx000 \ {00000, 10000}}
{xx101 \ {00101, 11101}, 0x100 \ {00100}, x0x1x \ {0011x, x001x, x0010}}
{
   x0x1x11x1x \ {
   x0x1111x10, x0x1011x11, x0x1x11111, x0x1x11011, x0x1x11010, 0011x11x1x, x001x11x1x, x001011x1x}, 0x100xx000 \ {
   0x10000000, 0x10010000, 00100xx000}}

{xxx00 \ {01100, 00x00, 00000}}
{x10x1 \ {11001, x1001, 11011}}
{}

{000xx \ {0000x, 000x1, 000x0}, 11xxx \ {1100x, 11001, 11x00}}
{1xxxx \ {10xxx, 110x0, 111x0}}
{
   1xxxx000xx \ {
   1xxx1000x0, 1xxx0000x1, 1xx1x0000x, 1xx0x0001x, 1xxxx0000x, 1xxxx000x1, 1xxxx000x0, 10xxx000xx, 110x0000xx, 111x0000xx}, 1xxxx11xxx \ {
   1xxx111xx0, 1xxx011xx1, 1xx1x11x0x, 1xx0x11x1x, 1xxxx1100x, 1xxxx11001, 1xxxx11x00, 10xxx11xxx, 110x011xxx, 111x011xxx}}

{0x10x \ {01100, 00101, 0x101}, 1xx10 \ {11110, 1x010, 1x010}}
{1x11x \ {1111x, 10111, 10110}}
{
   1x1101xx10 \ {
   1x11011110, 1x1101x010, 1x1101x010, 111101xx10, 101101xx10}}

{0xx0x \ {01100, 00x01, 00x00}, x01xx \ {10101, 10110, 1010x}}
{011xx \ {0111x, 0110x, 011x1}}
{
   0110x0xx0x \ {
   011010xx00, 011000xx01, 0110x01100, 0110x00x01, 0110x00x00, 0110x0xx0x, 011010xx0x}, 011xxx01xx \ {
   011x1x01x0, 011x0x01x1, 0111xx010x, 0110xx011x, 011xx10101, 011xx10110, 011xx1010x, 0111xx01xx, 0110xx01xx, 011x1x01xx}}

{001x0 \ {00100, 00110}, 1x0xx \ {10011, 11000, 1000x}}
{x011x \ {0011x, 00111}}
{
   x011000110 \ {
   x011000110, 0011000110}, x011x1x01x \ {
   x01111x010, x01101x011, x011x10011, 0011x1x01x, 001111x01x}}

{01xxx \ {01xx1, 01110, 01110}, 0xxx1 \ {01x01, 000x1, 001x1}}
{00xx1 \ {001x1, 00001}}
{
   00xx101xx1 \ {
   00x1101x01, 00x0101x11, 00xx101xx1, 001x101xx1, 0000101xx1}, 00xx10xxx1 \ {
   00x110xx01, 00x010xx11, 00xx101x01, 00xx1000x1, 00xx1001x1, 001x10xxx1, 000010xxx1}}

{0x10x \ {0110x, 00100, 00101}}
{1x00x \ {10000, 11000, 10001}, x1x0x \ {01101, 11000, 01x0x}}
{
   1x00x0x10x \ {
   1x0010x100, 1x0000x101, 1x00x0110x, 1x00x00100, 1x00x00101, 100000x10x, 110000x10x, 100010x10x}, x1x0x0x10x \ {
   x1x010x100, x1x000x101, x1x0x0110x, x1x0x00100, x1x0x00101, 011010x10x, 110000x10x, 01x0x0x10x}}

{xxxx0 \ {0xx10, 01x00, x0xx0}, x1x0x \ {01101, 11001, 01000}}
{0xx10 \ {01010, 01110, 00110}, xx110 \ {01110, 11110, 10110}}
{
   0xx10xxx10 \ {
   0xx100xx10, 0xx10x0x10, 01010xxx10, 01110xxx10, 00110xxx10}, xx110xxx10 \ {
   xx1100xx10, xx110x0x10, 01110xxx10, 11110xxx10, 10110xxx10}}

{xxxxx \ {1xxxx, x0111, 0x0x1}, 0x01x \ {0001x, 01010, 01010}}
{x0x11 \ {10x11, 00111, 10011}}
{
   x0x11xxx11 \ {
   x0x111xx11, x0x11x0111, x0x110x011, 10x11xxx11, 00111xxx11, 10011xxx11}, x0x110x011 \ {
   x0x1100011, 10x110x011, 001110x011, 100110x011}}

{11xx1 \ {11x11, 110x1}}
{00x1x \ {00x10, 0011x, 00111}}
{
   00x1111x11 \ {
   00x1111x11, 00x1111011, 0011111x11, 0011111x11}}

{110x1 \ {11011}, 001x0 \ {00110, 00100, 00100}}
{xx01x \ {x1010, x101x, xx010}, 1x01x \ {1x011, 1x010, 10010}, xxx0x \ {11001, 01000, 01x00}}
{
   xx01111011 \ {
   xx01111011, x101111011}, 1x01111011 \ {
   1x01111011, 1x01111011}, xxx0111001 \ {
   1100111001}, xx01000110 \ {
   xx01000110, x101000110, x101000110, xx01000110}, 1x01000110 \ {
   1x01000110, 1x01000110, 1001000110}, xxx0000100 \ {
   xxx0000100, xxx0000100, 0100000100, 01x0000100}}

{x1xx0 \ {11x00, 01x00}, xx101 \ {0x101, 10101, 00101}}
{001x0 \ {00100, 00110, 00110}, x1x10 \ {01010, 11110}}
{
   001x0x1xx0 \ {
   00110x1x00, 00100x1x10, 001x011x00, 001x001x00, 00100x1xx0, 00110x1xx0, 00110x1xx0}, x1x10x1x10 \ {
   01010x1x10, 11110x1x10}}

{x1x01 \ {11x01, 11001, 11001}, 11xx0 \ {11x00, 11000, 110x0}, xx10x \ {11101, 01100, 00100}}
{xxxx1 \ {1x1x1, 011x1, xxx11}, x11x1 \ {11101, 01101, 11111}}
{
   xxx01x1x01 \ {
   xxx0111x01, xxx0111001, xxx0111001, 1x101x1x01, 01101x1x01}, x1101x1x01 \ {
   x110111x01, x110111001, x110111001, 11101x1x01, 01101x1x01}, xxx01xx101 \ {
   xxx0111101, 1x101xx101, 01101xx101}, x1101xx101 \ {
   x110111101, 11101xx101, 01101xx101}}

{xx1x0 \ {111x0, 1x100, 0x1x0}, 1x0xx \ {1100x, 1x0x0, 11011}, xxxx1 \ {01011, 10111, 01xx1}}
{1xxxx \ {1x1xx, 1111x, 10x00}}
{
   1xxx0xx1x0 \ {
   1xx10xx100, 1xx00xx110, 1xxx0111x0, 1xxx01x100, 1xxx00x1x0, 1x1x0xx1x0, 11110xx1x0, 10x00xx1x0}, 1xxxx1x0xx \ {
   1xxx11x0x0, 1xxx01x0x1, 1xx1x1x00x, 1xx0x1x01x, 1xxxx1100x, 1xxxx1x0x0, 1xxxx11011, 1x1xx1x0xx, 1111x1x0xx, 10x001x0xx}, 1xxx1xxxx1 \ {
   1xx11xxx01, 1xx01xxx11, 1xxx101011, 1xxx110111, 1xxx101xx1, 1x1x1xxxx1, 11111xxxx1}}

{xx011 \ {01011, x1011, 00011}, x01xx \ {001xx, 0011x, 1010x}}
{x11xx \ {x11x1, 111xx, 011x0}, x0x1x \ {10x11, 10010}}
{
   x1111xx011 \ {
   x111101011, x1111x1011, x111100011, x1111xx011, 11111xx011}, x0x11xx011 \ {
   x0x1101011, x0x11x1011, x0x1100011, 10x11xx011}, x11xxx01xx \ {
   x11x1x01x0, x11x0x01x1, x111xx010x, x110xx011x, x11xx001xx, x11xx0011x, x11xx1010x, x11x1x01xx, 111xxx01xx, 011x0x01xx}, x0x1xx011x \ {
   x0x11x0110, x0x10x0111, x0x1x0011x, x0x1x0011x, 10x11x011x, 10010x011x}}

{x000x \ {0000x, 00001, x0000}, 0000x \ {00000}}
{00x1x \ {00011, 00111}}
{}

{x111x \ {11111}}
{011xx \ {011x0, 0111x, 0111x}, x1xx1 \ {x1x11, x1111, 11111}}
{
   0111xx111x \ {
   01111x1110, 01110x1111, 0111x11111, 01110x111x, 0111xx111x, 0111xx111x}, x1x11x1111 \ {
   x1x1111111, x1x11x1111, x1111x1111, 11111x1111}}

{1xx1x \ {11x1x, 10111}, x011x \ {0011x, 1011x, 10111}, x110x \ {x1100, x1101, 01100}}
{0xx11 \ {01x11, 01111, 00111}, x1001 \ {11001, 01001}}
{
   0xx111xx11 \ {
   0xx1111x11, 0xx1110111, 01x111xx11, 011111xx11, 001111xx11}, 0xx11x0111 \ {
   0xx1100111, 0xx1110111, 0xx1110111, 01x11x0111, 01111x0111, 00111x0111}, x1001x1101 \ {
   x1001x1101, 11001x1101, 01001x1101}}

{1x10x \ {10101, 10100, 11100}, 00xx0 \ {00100, 00x00, 00x00}}
{xx110 \ {11110, 1x110, 00110}, 0x0xx \ {01000, 010xx, 010x1}, x01x0 \ {001x0, 101x0}}
{
   0x00x1x10x \ {
   0x0011x100, 0x0001x101, 0x00x10101, 0x00x10100, 0x00x11100, 010001x10x, 0100x1x10x, 010011x10x}, x01001x100 \ {
   x010010100, x010011100, 001001x100, 101001x100}, xx11000x10 \ {
   1111000x10, 1x11000x10, 0011000x10}, 0x0x000xx0 \ {
   0x01000x00, 0x00000x10, 0x0x000100, 0x0x000x00, 0x0x000x00, 0100000xx0, 010x000xx0}, x01x000xx0 \ {
   x011000x00, x010000x10, x01x000100, x01x000x00, x01x000x00, 001x000xx0, 101x000xx0}}

{xxx10 \ {11x10, 10110, x0010}}
{01x00 \ {01000}}
{}

{}
{xx111 \ {x1111, 1x111, 11111}}
{}

{x0101 \ {00101, 10101}, x1x01 \ {01101, x1101, x1101}}
{xxx1x \ {1xx1x, xxx10, x0x1x}, 0xx10 \ {01110, 00110, 00110}}
{}

{0x11x \ {0111x, 0x111, 0011x}, 0xx0x \ {0010x, 00000, 01100}}
{}
{}

{1xxx1 \ {10x11, 1xx11, 100x1}, x0011 \ {10011, 00011}}
{}
{}

{}
{01x11 \ {01111, 01011}, 0x11x \ {0111x}}
{}

{1xx10 \ {1x010, 1x110, 10010}, xx00x \ {0x00x, 10000, 0x000}}
{x1x0x \ {01000, x1001, x100x}}
{
   x1x0xxx00x \ {
   x1x01xx000, x1x00xx001, x1x0x0x00x, x1x0x10000, x1x0x0x000, 01000xx00x, x1001xx00x, x100xxx00x}}

{0xx11 \ {00111, 01011, 01x11}, 0x1xx \ {00110, 00100, 001x1}}
{01xx1 \ {01111, 01011, 01x11}, xxx10 \ {11x10, 0x110, x1110}}
{
   01x110xx11 \ {
   01x1100111, 01x1101011, 01x1101x11, 011110xx11, 010110xx11, 01x110xx11}, 01xx10x1x1 \ {
   01x110x101, 01x010x111, 01xx1001x1, 011110x1x1, 010110x1x1, 01x110x1x1}, xxx100x110 \ {
   xxx1000110, 11x100x110, 0x1100x110, x11100x110}}

{1x000 \ {11000, 10000, 10000}, 00xxx \ {00100, 0000x}}
{xxx1x \ {x0011, 10x11, x001x}, x1xx1 \ {x1111, x11x1, 01101}}
{
   xxx1x00x1x \ {
   xxx1100x10, xxx1000x11, x001100x1x, 10x1100x1x, x001x00x1x}, x1xx100xx1 \ {
   x1x1100x01, x1x0100x11, x1xx100001, x111100xx1, x11x100xx1, 0110100xx1}}

{1100x \ {11001, 11000}, 0x1x1 \ {01111, 001x1, 00111}}
{xx01x \ {x101x, 11011, x0010}, xx1x0 \ {1x110, 0x110}}
{
   xx10011000 \ {
   xx10011000}, xx0110x111 \ {
   xx01101111, xx01100111, xx01100111, x10110x111, 110110x111}}

{1110x \ {11101, 11100, 11100}}
{010x1 \ {01011, 01001}, 1xx1x \ {11110, 11011, 1x110}}
{
   0100111101 \ {
   0100111101, 0100111101}}

{10x01 \ {10001}}
{x00xx \ {x0010, 000xx, 10011}, x1x00 \ {11100, 01x00}}
{
   x000110x01 \ {
   x000110001, 0000110x01}}

{001x0 \ {00100, 00110}}
{11xxx \ {11100, 1101x}, xx101 \ {x1101, 1x101, 10101}, 10x10 \ {10110}}
{
   11xx0001x0 \ {
   11x1000100, 11x0000110, 11xx000100, 11xx000110, 11100001x0, 11010001x0}, 10x1000110 \ {
   10x1000110, 1011000110}}

{}
{01x01 \ {01001}}
{}

{x0xx1 \ {x01x1, x0001, 00xx1}, xx1x1 \ {00111, 10111, 1x1x1}}
{x11xx \ {x1111, 0111x, 0110x}, 11x0x \ {1100x, 11101}}
{
   x11x1x0xx1 \ {
   x1111x0x01, x1101x0x11, x11x1x01x1, x11x1x0001, x11x100xx1, x1111x0xx1, 01111x0xx1, 01101x0xx1}, 11x01x0x01 \ {
   11x01x0101, 11x01x0001, 11x0100x01, 11001x0x01, 11101x0x01}, x11x1xx1x1 \ {
   x1111xx101, x1101xx111, x11x100111, x11x110111, x11x11x1x1, x1111xx1x1, 01111xx1x1, 01101xx1x1}, 11x01xx101 \ {
   11x011x101, 11001xx101, 11101xx101}}

{00xx1 \ {00001, 00x01, 00111}}
{100xx \ {10010, 1000x, 10000}, 0xx00 \ {00000, 00100, 01000}, xxxx1 \ {x1x01, 00101, 11xx1}}
{
   100x100xx1 \ {
   1001100x01, 1000100x11, 100x100001, 100x100x01, 100x100111, 1000100xx1}, xxxx100xx1 \ {
   xxx1100x01, xxx0100x11, xxxx100001, xxxx100x01, xxxx100111, x1x0100xx1, 0010100xx1, 11xx100xx1}}

{x00xx \ {x0010, 1001x, x0000}, 010x1 \ {01011, 01001}}
{x0x1x \ {10x1x, x0010, x001x}, 0111x \ {01110, 01111}}
{
   x0x1xx001x \ {
   x0x11x0010, x0x10x0011, x0x1xx0010, x0x1x1001x, 10x1xx001x, x0010x001x, x001xx001x}, 0111xx001x \ {
   01111x0010, 01110x0011, 0111xx0010, 0111x1001x, 01110x001x, 01111x001x}, x0x1101011 \ {
   x0x1101011, 10x1101011, x001101011}, 0111101011 \ {
   0111101011, 0111101011}}

{1xxx1 \ {10101, 100x1, 11xx1}, x0101 \ {10101, 00101}}
{0x00x \ {01000, 0x001, 0100x}}
{
   0x0011xx01 \ {
   0x00110101, 0x00110001, 0x00111x01, 0x0011xx01, 010011xx01}, 0x001x0101 \ {
   0x00110101, 0x00100101, 0x001x0101, 01001x0101}}

{10x0x \ {10x01, 10001}}
{0x1x1 \ {01101, 0x101, 0x101}}
{
   0x10110x01 \ {
   0x10110x01, 0x10110001, 0110110x01, 0x10110x01, 0x10110x01}}

{11xx1 \ {11001, 11011}, xx0x0 \ {1x0x0, x0010, x00x0}}
{1xx01 \ {11x01, 10x01, 10101}, x0xxx \ {10101, x000x, 10xx1}, xx10x \ {01100, 01101, 0110x}}
{
   1xx0111x01 \ {
   1xx0111001, 11x0111x01, 10x0111x01, 1010111x01}, x0xx111xx1 \ {
   x0x1111x01, x0x0111x11, x0xx111001, x0xx111011, 1010111xx1, x000111xx1, 10xx111xx1}, xx10111x01 \ {
   xx10111001, 0110111x01, 0110111x01}, x0xx0xx0x0 \ {
   x0x10xx000, x0x00xx010, x0xx01x0x0, x0xx0x0010, x0xx0x00x0, x0000xx0x0}, xx100xx000 \ {
   xx1001x000, xx100x0000, 01100xx000, 01100xx000}}

{xxx1x \ {00110, xx111, x001x}}
{00x11 \ {00111, 00011}, 0xxx0 \ {01x10, 00100}, x010x \ {10101, x0100, 00100}}
{
   00x11xxx11 \ {
   00x11xx111, 00x11x0011, 00111xxx11, 00011xxx11}, 0xx10xxx10 \ {
   0xx1000110, 0xx10x0010, 01x10xxx10}}

{0xxx0 \ {00000, 0x110, 00110}}
{x11x0 \ {x1110, 01110, x1100}, x00x1 \ {00001, 10001}}
{
   x11x00xxx0 \ {
   x11100xx00, x11000xx10, x11x000000, x11x00x110, x11x000110, x11100xxx0, 011100xxx0, x11000xxx0}}

{}
{0x1x0 \ {011x0, 01110, 00100}}
{}

{1x0x1 \ {110x1, 100x1, 10001}}
{00x10 \ {00010, 00110}, x10xx \ {x1011, 11001, 01010}}
{
   x10x11x0x1 \ {
   x10111x001, x10011x011, x10x1110x1, x10x1100x1, x10x110001, x10111x0x1, 110011x0x1}}

{111x0 \ {11100}, 0x1xx \ {0010x, 01101, 011x0}}
{xx0x0 \ {x0000, 0x010, x1000}}
{
   xx0x0111x0 \ {
   xx01011100, xx00011110, xx0x011100, x0000111x0, 0x010111x0, x1000111x0}, xx0x00x1x0 \ {
   xx0100x100, xx0000x110, xx0x000100, xx0x0011x0, x00000x1x0, 0x0100x1x0, x10000x1x0}}

{x0x1x \ {x0111, 0001x, 1011x}, 111x0 \ {11110, 11100, 11100}}
{}
{}

{x0x00 \ {00x00, x0000, x0100}, 0x101 \ {01101}}
{1xxxx \ {10x11, 1x101, 10x1x}, 0x1x0 \ {011x0, 0x110}}
{
   1xx00x0x00 \ {
   1xx0000x00, 1xx00x0000, 1xx00x0100}, 0x100x0x00 \ {
   0x10000x00, 0x100x0000, 0x100x0100, 01100x0x00}, 1xx010x101 \ {
   1xx0101101, 1x1010x101}}

{xx110 \ {10110, 01110, 0x110}}
{1111x \ {11110, 11111}}
{
   11110xx110 \ {
   1111010110, 1111001110, 111100x110, 11110xx110}}

{x10xx \ {110xx, 1100x, 110x0}, xx0xx \ {x00x1, xx010, x10x1}}
{0011x \ {00111}, xx0x0 \ {100x0, 01000, 1x010}, 0xx0x \ {0x101, 01100, 00001}}
{
   0011xx101x \ {
   00111x1010, 00110x1011, 0011x1101x, 0011x11010, 00111x101x}, xx0x0x10x0 \ {
   xx010x1000, xx000x1010, xx0x0110x0, xx0x011000, xx0x0110x0, 100x0x10x0, 01000x10x0, 1x010x10x0}, 0xx0xx100x \ {
   0xx01x1000, 0xx00x1001, 0xx0x1100x, 0xx0x1100x, 0xx0x11000, 0x101x100x, 01100x100x, 00001x100x}, 0011xxx01x \ {
   00111xx010, 00110xx011, 0011xx0011, 0011xxx010, 0011xx1011, 00111xx01x}, xx0x0xx0x0 \ {
   xx010xx000, xx000xx010, xx0x0xx010, 100x0xx0x0, 01000xx0x0, 1x010xx0x0}, 0xx0xxx00x \ {
   0xx01xx000, 0xx00xx001, 0xx0xx0001, 0xx0xx1001, 0x101xx00x, 01100xx00x, 00001xx00x}}

{x1x10 \ {01110, 11110, x1010}, x1xxx \ {1111x, x1xx0, x1011}}
{x1011 \ {11011, 01011}, 10x0x \ {1000x, 10001, 10x00}, 10x1x \ {10x11, 10x10, 10111}}
{
   10x10x1x10 \ {
   10x1001110, 10x1011110, 10x10x1010, 10x10x1x10}, x1011x1x11 \ {
   x101111111, x1011x1011, 11011x1x11, 01011x1x11}, 10x0xx1x0x \ {
   10x01x1x00, 10x00x1x01, 10x0xx1x00, 1000xx1x0x, 10001x1x0x, 10x00x1x0x}, 10x1xx1x1x \ {
   10x11x1x10, 10x10x1x11, 10x1x1111x, 10x1xx1x10, 10x1xx1011, 10x11x1x1x, 10x10x1x1x, 10111x1x1x}}

{0110x \ {01100, 01101}, x1x00 \ {x1100, 01000}}
{00xx0 \ {001x0, 00010, 00x00}, 00xx1 \ {00x11, 00111, 00001}}
{
   00x0001100 \ {
   00x0001100, 0010001100, 00x0001100}, 00x0101101 \ {
   00x0101101, 0000101101}, 00x00x1x00 \ {
   00x00x1100, 00x0001000, 00100x1x00, 00x00x1x00}}

{x11xx \ {1110x, 111xx, x11x0}, 1x1x1 \ {11101, 11111, 10111}}
{x011x \ {00110, 0011x, x0111}, 011x1 \ {01101}}
{
   x011xx111x \ {
   x0111x1110, x0110x1111, x011x1111x, x011xx1110, 00110x111x, 0011xx111x, x0111x111x}, 011x1x11x1 \ {
   01111x1101, 01101x1111, 011x111101, 011x1111x1, 01101x11x1}, x01111x111 \ {
   x011111111, x011110111, 001111x111, x01111x111}, 011x11x1x1 \ {
   011111x101, 011011x111, 011x111101, 011x111111, 011x110111, 011011x1x1}}

{1x0x1 \ {11001, 1x011, 1x011}, x001x \ {10010, 0001x}}
{0001x \ {00011, 00010}, 00x10 \ {00010, 00110}}
{
   000111x011 \ {
   000111x011, 000111x011, 000111x011}, 0001xx001x \ {
   00011x0010, 00010x0011, 0001x10010, 0001x0001x, 00011x001x, 00010x001x}, 00x10x0010 \ {
   00x1010010, 00x1000010, 00010x0010, 00110x0010}}

{01x01 \ {01001, 01101}}
{01x0x \ {01101, 0100x}}
{
   01x0101x01 \ {
   01x0101001, 01x0101101, 0110101x01, 0100101x01}}

{xx11x \ {x1111, 1x11x, x0111}, x00x1 \ {x0001, 10011, 00001}, x10xx \ {0100x, x100x, x1010}}
{xx0xx \ {10010, 0x00x, x100x}, 0x00x \ {0x000, 0x001, 01000}, 11xx0 \ {11010, 111x0, 11110}}
{
   xx01xxx11x \ {
   xx011xx110, xx010xx111, xx01xx1111, xx01x1x11x, xx01xx0111, 10010xx11x}, 11x10xx110 \ {
   11x101x110, 11010xx110, 11110xx110, 11110xx110}, xx0x1x00x1 \ {
   xx011x0001, xx001x0011, xx0x1x0001, xx0x110011, xx0x100001, 0x001x00x1, x1001x00x1}, 0x001x0001 \ {
   0x001x0001, 0x00100001, 0x001x0001}, xx0xxx10xx \ {
   xx0x1x10x0, xx0x0x10x1, xx01xx100x, xx00xx101x, xx0xx0100x, xx0xxx100x, xx0xxx1010, 10010x10xx, 0x00xx10xx, x100xx10xx}, 0x00xx100x \ {
   0x001x1000, 0x000x1001, 0x00x0100x, 0x00xx100x, 0x000x100x, 0x001x100x, 01000x100x}, 11xx0x10x0 \ {
   11x10x1000, 11x00x1010, 11xx001000, 11xx0x1000, 11xx0x1010, 11010x10x0, 111x0x10x0, 11110x10x0}}

{}
{100xx \ {10011, 10001, 1001x}}
{}

{10x1x \ {10010, 10x11, 10011}, 010x1 \ {01011, 01001}}
{10x10 \ {10110, 10010}}
{
   10x1010x10 \ {
   10x1010010, 1011010x10, 1001010x10}}

{}
{0x0x0 \ {00010, 01000, 010x0}}
{}

{x1001 \ {01001, 11001, 11001}, xx001 \ {01001, x0001, 1x001}}
{0x01x \ {0x011, 01010}}
{}

{x1x1x \ {1111x, 11110, 01011}}
{0x1x0 \ {01100, 01110, 011x0}, x0xxx \ {x00x1, 10010, 000xx}}
{
   0x110x1x10 \ {
   0x11011110, 0x11011110, 01110x1x10, 01110x1x10}, x0x1xx1x1x \ {
   x0x11x1x10, x0x10x1x11, x0x1x1111x, x0x1x11110, x0x1x01011, x0011x1x1x, 10010x1x1x, 0001xx1x1x}}

{xx0x0 \ {0x0x0, 01000, xx010}}
{1x001 \ {11001, 10001, 10001}}
{}

{x000x \ {x0000, x0001, x0001}, 1x0x1 \ {10001, 11001, 1x001}}
{0xx01 \ {01x01, 00001, 01101}, x1xx0 \ {11x10, 01100, x11x0}, xx10x \ {0x101, 1x10x, 11101}}
{
   0xx01x0001 \ {
   0xx01x0001, 0xx01x0001, 01x01x0001, 00001x0001, 01101x0001}, x1x00x0000 \ {
   x1x00x0000, 01100x0000, x1100x0000}, xx10xx000x \ {
   xx101x0000, xx100x0001, xx10xx0000, xx10xx0001, xx10xx0001, 0x101x000x, 1x10xx000x, 11101x000x}, 0xx011x001 \ {
   0xx0110001, 0xx0111001, 0xx011x001, 01x011x001, 000011x001, 011011x001}, xx1011x001 \ {
   xx10110001, xx10111001, xx1011x001, 0x1011x001, 1x1011x001, 111011x001}}

{00xx0 \ {00110, 00x00}}
{00xx0 \ {001x0, 00100, 000x0}, 1010x \ {10100, 10101}, x10xx \ {x1000, x10x0, 110x0}}
{
   00xx000xx0 \ {
   00x1000x00, 00x0000x10, 00xx000110, 00xx000x00, 001x000xx0, 0010000xx0, 000x000xx0}, 1010000x00 \ {
   1010000x00, 1010000x00}, x10x000xx0 \ {
   x101000x00, x100000x10, x10x000110, x10x000x00, x100000xx0, x10x000xx0, 110x000xx0}}

{x00xx \ {1000x, 100x0, 0001x}, x1xx1 \ {111x1, x1011, 11xx1}, 00xx1 \ {00101, 000x1, 001x1}}
{0x10x \ {0110x, 0010x, 00100}, x0101 \ {10101, 00101}, x10xx \ {11011, 11010, x10x0}}
{
   0x10xx000x \ {
   0x101x0000, 0x100x0001, 0x10x1000x, 0x10x10000, 0110xx000x, 0010xx000x, 00100x000x}, x0101x0001 \ {
   x010110001, 10101x0001, 00101x0001}, x10xxx00xx \ {
   x10x1x00x0, x10x0x00x1, x101xx000x, x100xx001x, x10xx1000x, x10xx100x0, x10xx0001x, 11011x00xx, 11010x00xx, x10x0x00xx}, 0x101x1x01 \ {
   0x10111101, 0x10111x01, 01101x1x01, 00101x1x01}, x0101x1x01 \ {
   x010111101, x010111x01, 10101x1x01, 00101x1x01}, x10x1x1xx1 \ {
   x1011x1x01, x1001x1x11, x10x1111x1, x10x1x1011, x10x111xx1, 11011x1xx1}, 0x10100x01 \ {
   0x10100101, 0x10100001, 0x10100101, 0110100x01, 0010100x01}, x010100x01 \ {
   x010100101, x010100001, x010100101, 1010100x01, 0010100x01}, x10x100xx1 \ {
   x101100x01, x100100x11, x10x100101, x10x1000x1, x10x1001x1, 1101100xx1}}

{}
{x0x10 \ {00110, x0110}, 0xx11 \ {00011, 01x11}}
{}

{}
{x10x1 \ {01001, x1011, 01011}, 0xx01 \ {0x001, 00101, 01101}}
{}

{1x110 \ {10110, 11110, 11110}}
{x11x1 \ {11101, x1101, x1101}}
{}

{1x11x \ {11110, 10111, 11111}}
{1xxx0 \ {1x000, 10x00, 110x0}}
{
   1xx101x110 \ {
   1xx1011110, 110101x110}}

{}
{x0xx1 \ {10101, 100x1, x0101}, 1x0xx \ {1001x, 11010}}
{}

{xxxx1 \ {01101, 01001, xx0x1}, 00x10 \ {00110, 00010, 00010}}
{0xx10 \ {00010, 01x10, 01010}, 1x010 \ {11010, 10010}}
{
   0xx1000x10 \ {
   0xx1000110, 0xx1000010, 0xx1000010, 0001000x10, 01x1000x10, 0101000x10}, 1x01000x10 \ {
   1x01000110, 1x01000010, 1x01000010, 1101000x10, 1001000x10}}

{01x1x \ {01x11, 01011}}
{00xx1 \ {001x1, 00101, 00111}, x101x \ {11010, 11011}}
{
   00x1101x11 \ {
   00x1101x11, 00x1101011, 0011101x11, 0011101x11}, x101x01x1x \ {
   x101101x10, x101001x11, x101x01x11, x101x01011, 1101001x1x, 1101101x1x}}

{}
{}
{}

{}
{x000x \ {10001, 1000x, 10000}}
{}

{00xxx \ {00111, 00011, 00x1x}, 010x1 \ {01001, 01011}}
{xxx11 \ {x1111, x0x11, 0x011}, 1x0x1 \ {100x1, 110x1, 10001}}
{
   xxx1100x11 \ {
   xxx1100111, xxx1100011, xxx1100x11, x111100x11, x0x1100x11, 0x01100x11}, 1x0x100xx1 \ {
   1x01100x01, 1x00100x11, 1x0x100111, 1x0x100011, 1x0x100x11, 100x100xx1, 110x100xx1, 1000100xx1}, xxx1101011 \ {
   xxx1101011, x111101011, x0x1101011, 0x01101011}, 1x0x1010x1 \ {
   1x01101001, 1x00101011, 1x0x101001, 1x0x101011, 100x1010x1, 110x1010x1, 10001010x1}}

{x0x1x \ {00110, 1011x, x0011}}
{}
{}

{01x1x \ {01x10, 01111, 01111}, x0x01 \ {10001, 10101, x0101}}
{x110x \ {11101, 01100}, xxx01 \ {11001, 0x101, 01101}}
{
   x1101x0x01 \ {
   x110110001, x110110101, x1101x0101, 11101x0x01}, xxx01x0x01 \ {
   xxx0110001, xxx0110101, xxx01x0101, 11001x0x01, 0x101x0x01, 01101x0x01}}

{1xx0x \ {1x000, 11100, 10000}, 1x01x \ {10011, 1001x}}
{x11xx \ {111xx, x110x, x11x0}}
{
   x110x1xx0x \ {
   x11011xx00, x11001xx01, x110x1x000, x110x11100, x110x10000, 1110x1xx0x, x110x1xx0x, x11001xx0x}, x111x1x01x \ {
   x11111x010, x11101x011, x111x10011, x111x1001x, 1111x1x01x, x11101x01x}}

{}
{}
{}

{xx010 \ {11010, 0x010}}
{xxx10 \ {10110, 10x10, x1010}, 1x011 \ {11011, 10011}}
{
   xxx10xx010 \ {
   xxx1011010, xxx100x010, 10110xx010, 10x10xx010, x1010xx010}}

{0x0xx \ {0101x, 01011, 010x0}, 1x001 \ {10001, 11001, 11001}}
{xx0x1 \ {x10x1, 010x1, 01001}}
{
   xx0x10x0x1 \ {
   xx0110x001, xx0010x011, xx0x101011, xx0x101011, x10x10x0x1, 010x10x0x1, 010010x0x1}, xx0011x001 \ {
   xx00110001, xx00111001, xx00111001, x10011x001, 010011x001, 010011x001}}

{x0010 \ {10010, 00010}, 10x00 \ {10100, 10000}}
{x1x1x \ {0111x, 01011}, x1xx0 \ {x11x0, 01000, 01110}}
{
   x1x10x0010 \ {
   x1x1010010, x1x1000010, 01110x0010}, x1x0010x00 \ {
   x1x0010100, x1x0010000, x110010x00, 0100010x00}}

{x11x1 \ {111x1, 011x1, 11101}, x0x01 \ {10101, 10x01, x0001}}
{xx10x \ {x010x, x1101, 1x10x}, x11x0 \ {011x0, 11100}}
{
   xx101x1101 \ {
   xx10111101, xx10101101, xx10111101, x0101x1101, x1101x1101, 1x101x1101}, xx101x0x01 \ {
   xx10110101, xx10110x01, xx101x0001, x0101x0x01, x1101x0x01, 1x101x0x01}}

{x1x11 \ {11111, x1111, 11x11}, x1x01 \ {01101, x1101, 01x01}}
{10xx1 \ {10011, 10001, 101x1}}
{
   10x11x1x11 \ {
   10x1111111, 10x11x1111, 10x1111x11, 10011x1x11, 10111x1x11}, 10x01x1x01 \ {
   10x0101101, 10x01x1101, 10x0101x01, 10001x1x01, 10101x1x01}}

{xxxx1 \ {0x1x1, 0xxx1, xx0x1}, 1xxxx \ {11xxx, 1x101, 110xx}, 10xx1 \ {10x11, 101x1, 101x1}}
{1101x \ {11011, 11010, 11010}}
{
   11011xxx11 \ {
   110110x111, 110110xx11, 11011xx011, 11011xxx11}, 1101x1xx1x \ {
   110111xx10, 110101xx11, 1101x11x1x, 1101x1101x, 110111xx1x, 110101xx1x, 110101xx1x}, 1101110x11 \ {
   1101110x11, 1101110111, 1101110111, 1101110x11}}

{xxxx0 \ {xxx00, 00010, 01110}, 0x0x0 \ {01000, 00010, 010x0}}
{x1xx0 \ {x1100, 01100, 11x00}, x1010 \ {11010}}
{
   x1xx0xxxx0 \ {
   x1x10xxx00, x1x00xxx10, x1xx0xxx00, x1xx000010, x1xx001110, x1100xxxx0, 01100xxxx0, 11x00xxxx0}, x1010xxx10 \ {
   x101000010, x101001110, 11010xxx10}, x1xx00x0x0 \ {
   x1x100x000, x1x000x010, x1xx001000, x1xx000010, x1xx0010x0, x11000x0x0, 011000x0x0, 11x000x0x0}, x10100x010 \ {
   x101000010, x101001010, 110100x010}}

{}
{x0100 \ {00100}, 00xxx \ {00011, 0011x, 000x1}}
{}

{x10xx \ {010xx, 11010, x1010}, xx100 \ {x0100, 01100}}
{x000x \ {00001, 1000x}, x10x0 \ {11010, x1010, 01010}, xx11x \ {1x11x, 0x110, 1x110}}
{
   x000xx100x \ {
   x0001x1000, x0000x1001, x000x0100x, 00001x100x, 1000xx100x}, x10x0x10x0 \ {
   x1010x1000, x1000x1010, x10x0010x0, x10x011010, x10x0x1010, 11010x10x0, x1010x10x0, 01010x10x0}, xx11xx101x \ {
   xx111x1010, xx110x1011, xx11x0101x, xx11x11010, xx11xx1010, 1x11xx101x, 0x110x101x, 1x110x101x}, x0000xx100 \ {
   x0000x0100, x000001100, 10000xx100}, x1000xx100 \ {
   x1000x0100, x100001100}}

{10xx1 \ {10101, 10x01, 10001}}
{x0xx0 \ {x0110, x0000, 10100}}
{}

{11xxx \ {1110x, 11111, 11100}, 1011x \ {10111, 10110}}
{0x101 \ {00101, 01101}, 10x1x \ {10110, 10010, 10x10}}
{
   0x10111x01 \ {
   0x10111101, 0010111x01, 0110111x01}, 10x1x11x1x \ {
   10x1111x10, 10x1011x11, 10x1x11111, 1011011x1x, 1001011x1x, 10x1011x1x}, 10x1x1011x \ {
   10x1110110, 10x1010111, 10x1x10111, 10x1x10110, 101101011x, 100101011x, 10x101011x}}

{x0xx0 \ {00010, 10000, 00100}, xx0x0 \ {00000, xx000, 010x0}}
{}
{}

{xx1xx \ {10111, x0110, 111x0}}
{00xxx \ {00xx0, 00010}, xxx01 \ {1x001, 01001, 1xx01}}
{
   00xxxxx1xx \ {
   00xx1xx1x0, 00xx0xx1x1, 00x1xxx10x, 00x0xxx11x, 00xxx10111, 00xxxx0110, 00xxx111x0, 00xx0xx1xx, 00010xx1xx}, xxx01xx101 \ {
   1x001xx101, 01001xx101, 1xx01xx101}}

{x1x11 \ {x1011, 01111, 11011}, xx01x \ {10010, 0001x, 0x01x}}
{0x1x1 \ {0x111, 01111, 011x1}, 0xxxx \ {01x0x, 0x10x, 01x00}}
{
   0x111x1x11 \ {
   0x111x1011, 0x11101111, 0x11111011, 0x111x1x11, 01111x1x11, 01111x1x11}, 0xx11x1x11 \ {
   0xx11x1011, 0xx1101111, 0xx1111011}, 0x111xx011 \ {
   0x11100011, 0x1110x011, 0x111xx011, 01111xx011, 01111xx011}, 0xx1xxx01x \ {
   0xx11xx010, 0xx10xx011, 0xx1x10010, 0xx1x0001x, 0xx1x0x01x}}

{xxx00 \ {0xx00, 00000, 10x00}}
{0010x \ {00101, 00100}}
{
   00100xxx00 \ {
   001000xx00, 0010000000, 0010010x00, 00100xxx00}}

{}
{0xx1x \ {0xx10, 00111, 00x1x}, 10x1x \ {1001x}}
{}

{xx100 \ {00100, 0x100, 01100}, 1x011 \ {10011, 11011}}
{11x1x \ {11011, 1111x}}
{
   11x111x011 \ {
   11x1110011, 11x1111011, 110111x011, 111111x011}}

{1x01x \ {10011, 1101x, 1101x}, 0100x \ {01001, 01000}}
{x0xx1 \ {10001, x0011, x0111}, 0xx00 \ {01x00, 00000, 0x000}}
{
   x0x111x011 \ {
   x0x1110011, x0x1111011, x0x1111011, x00111x011, x01111x011}, x0x0101001 \ {
   x0x0101001, 1000101001}, 0xx0001000 \ {
   0xx0001000, 01x0001000, 0000001000, 0x00001000}}

{xxx11 \ {0x011, 00011, xx011}, 1xxx1 \ {1xx11, 10xx1, 11111}}
{x1000 \ {11000, 01000}}
{}

{00xxx \ {0001x, 00110, 001x1}, 1x010 \ {11010, 10010}}
{0110x \ {01100, 01101, 01101}, x1x00 \ {01x00, 01100, 11000}}
{
   0110x00x0x \ {
   0110100x00, 0110000x01, 0110x00101, 0110000x0x, 0110100x0x, 0110100x0x}, x1x0000x00 \ {
   01x0000x00, 0110000x00, 1100000x00}}

{10x1x \ {10x10, 10010, 1011x}, xx00x \ {0x00x, 11001, 01001}, 010x1 \ {01001, 01011, 01011}}
{x010x \ {x0101, 00101}, 110xx \ {11000, 11011}}
{
   1101x10x1x \ {
   1101110x10, 1101010x11, 1101x10x10, 1101x10010, 1101x1011x, 1101110x1x}, x010xxx00x \ {
   x0101xx000, x0100xx001, x010x0x00x, x010x11001, x010x01001, x0101xx00x, 00101xx00x}, 1100xxx00x \ {
   11001xx000, 11000xx001, 1100x0x00x, 1100x11001, 1100x01001, 11000xx00x}, x010101001 \ {
   x010101001, x010101001, 0010101001}, 110x1010x1 \ {
   1101101001, 1100101011, 110x101001, 110x101011, 110x101011, 11011010x1}}

{0x0x0 \ {01010, 00010, 0x010}, 000xx \ {00011, 00000, 0001x}, 1x100 \ {10100, 11100}}
{x1x11 \ {01x11, x1011, 11011}, x111x \ {11110, x1111, 01111}}
{
   x11100x010 \ {
   x111001010, x111000010, x11100x010, 111100x010}, x1x1100011 \ {
   x1x1100011, x1x1100011, 01x1100011, x101100011, 1101100011}, x111x0001x \ {
   x111100010, x111000011, x111x00011, x111x0001x, 111100001x, x11110001x, 011110001x}}

{x1x1x \ {01110, x1110, x1011}}
{x01x0 \ {10110, x0100, 10100}}
{
   x0110x1x10 \ {
   x011001110, x0110x1110, 10110x1x10}}

{}
{}
{}

{1xxx0 \ {1x000, 10110, 10000}}
{1xx10 \ {10x10, 10010, 10010}, x10x0 \ {01000, 110x0, 01010}, x1xx0 \ {111x0, 01000, x1000}}
{
   1xx101xx10 \ {
   1xx1010110, 10x101xx10, 100101xx10, 100101xx10}, x10x01xxx0 \ {
   x10101xx00, x10001xx10, x10x01x000, x10x010110, x10x010000, 010001xxx0, 110x01xxx0, 010101xxx0}, x1xx01xxx0 \ {
   x1x101xx00, x1x001xx10, x1xx01x000, x1xx010110, x1xx010000, 111x01xxx0, 010001xxx0, x10001xxx0}}

{x10xx \ {0101x, 11000, x1000}, 00xxx \ {000x0, 001x1, 001x1}}
{0x1xx \ {00111, 0110x, 0x101}}
{
   0x1xxx10xx \ {
   0x1x1x10x0, 0x1x0x10x1, 0x11xx100x, 0x10xx101x, 0x1xx0101x, 0x1xx11000, 0x1xxx1000, 00111x10xx, 0110xx10xx, 0x101x10xx}, 0x1xx00xxx \ {
   0x1x100xx0, 0x1x000xx1, 0x11x00x0x, 0x10x00x1x, 0x1xx000x0, 0x1xx001x1, 0x1xx001x1, 0011100xxx, 0110x00xxx, 0x10100xxx}}

{x0000 \ {10000, 00000, 00000}, 0x10x \ {01101, 0110x, 0110x}}
{x1xxx \ {01111, 11x1x, 1110x}}
{
   x1x00x0000 \ {
   x1x0010000, x1x0000000, x1x0000000, 11100x0000}, x1x0x0x10x \ {
   x1x010x100, x1x000x101, x1x0x01101, x1x0x0110x, x1x0x0110x, 1110x0x10x}}

{01x1x \ {01x10, 01110, 01110}}
{0100x \ {01000, 01001, 01001}, 1x000 \ {11000, 10000}, 0x110 \ {00110}}
{
   0x11001x10 \ {
   0x11001x10, 0x11001110, 0x11001110, 0011001x10}}

{x00x0 \ {100x0, 00000, x0010}, 1x110 \ {11110}}
{001xx \ {00110, 001x0}, xxx01 \ {0xx01, 11x01, 11001}}
{
   001x0x00x0 \ {
   00110x0000, 00100x0010, 001x0100x0, 001x000000, 001x0x0010, 00110x00x0, 001x0x00x0}, 001101x110 \ {
   0011011110, 001101x110, 001101x110}}

{xxx1x \ {1x11x, 1xx1x, 01010}, 0x0xx \ {00010, 0x00x, 00011}}
{x1xx0 \ {01xx0, x1000, 111x0}}
{
   x1x10xxx10 \ {
   x1x101x110, x1x101xx10, x1x1001010, 01x10xxx10, 11110xxx10}, x1xx00x0x0 \ {
   x1x100x000, x1x000x010, x1xx000010, x1xx00x000, 01xx00x0x0, x10000x0x0, 111x00x0x0}}

{xxx01 \ {x0001, 0xx01, 1x101}, 00x10 \ {00110, 00010}}
{1x1x1 \ {10101, 101x1, 10111}}
{
   1x101xxx01 \ {
   1x101x0001, 1x1010xx01, 1x1011x101, 10101xxx01, 10101xxx01}}

{1x1x1 \ {10111, 10101, 11111}}
{0xx01 \ {01001, 0x001, 01x01}}
{
   0xx011x101 \ {
   0xx0110101, 010011x101, 0x0011x101, 01x011x101}}

{1x1x1 \ {10101, 10111, 10111}, x0xx1 \ {00101, 00x11, 10111}}
{x11x1 \ {x1111, 01111, 01101}}
{
   x11x11x1x1 \ {
   x11111x101, x11011x111, x11x110101, x11x110111, x11x110111, x11111x1x1, 011111x1x1, 011011x1x1}, x11x1x0xx1 \ {
   x1111x0x01, x1101x0x11, x11x100101, x11x100x11, x11x110111, x1111x0xx1, 01111x0xx1, 01101x0xx1}}

{10x1x \ {10010, 10x11, 10x10}, xxxx1 \ {0xxx1, 10xx1, 1x011}}
{110xx \ {11010, 11001}}
{
   1101x10x1x \ {
   1101110x10, 1101010x11, 1101x10010, 1101x10x11, 1101x10x10, 1101010x1x}, 110x1xxxx1 \ {
   11011xxx01, 11001xxx11, 110x10xxx1, 110x110xx1, 110x11x011, 11001xxxx1}}

{}
{10xx0 \ {10000, 10110}, xxx11 \ {01x11, 01011, x0011}, 0xxx0 \ {01xx0, 0xx10, 0x1x0}}
{}

{00xx1 \ {001x1, 00x01, 000x1}, 0x00x \ {0000x, 01000, 0100x}}
{00x0x \ {00001, 00100}, 01xx1 \ {01101, 01x11, 01x11}}
{
   00x0100x01 \ {
   00x0100101, 00x0100x01, 00x0100001, 0000100x01}, 01xx100xx1 \ {
   01x1100x01, 01x0100x11, 01xx1001x1, 01xx100x01, 01xx1000x1, 0110100xx1, 01x1100xx1, 01x1100xx1}, 00x0x0x00x \ {
   00x010x000, 00x000x001, 00x0x0000x, 00x0x01000, 00x0x0100x, 000010x00x, 001000x00x}, 01x010x001 \ {
   01x0100001, 01x0101001, 011010x001}}

{x1x0x \ {01x01, 11x0x, 11x0x}, x1001 \ {01001}}
{00xx1 \ {00111, 00001, 00011}}
{
   00x01x1x01 \ {
   00x0101x01, 00x0111x01, 00x0111x01, 00001x1x01}, 00x01x1001 \ {
   00x0101001, 00001x1001}}

{x1101 \ {01101, 11101}, 101xx \ {101x0, 10110, 10100}}
{001x0 \ {00100}}
{
   001x0101x0 \ {
   0011010100, 0010010110, 001x0101x0, 001x010110, 001x010100, 00100101x0}}

{xx101 \ {11101, x0101, 00101}}
{1011x \ {10111}, x0x10 \ {x0110, x0010, 10x10}}
{}

{0xx10 \ {01110, 00x10, 01010}}
{100xx \ {1000x, 1001x, 10000}, 0x0x1 \ {00001, 010x1, 00011}, 00xxx \ {0010x, 00xx0, 00001}}
{
   100100xx10 \ {
   1001001110, 1001000x10, 1001001010, 100100xx10}, 00x100xx10 \ {
   00x1001110, 00x1000x10, 00x1001010, 00x100xx10}}

{x01x1 \ {101x1, 001x1, 001x1}}
{xx01x \ {x101x, 1x011, 10011}, 0001x \ {00010, 00011, 00011}}
{
   xx011x0111 \ {
   xx01110111, xx01100111, xx01100111, x1011x0111, 1x011x0111, 10011x0111}, 00011x0111 \ {
   0001110111, 0001100111, 0001100111, 00011x0111, 00011x0111}}

{xx011 \ {11011, 0x011, 01011}}
{x10xx \ {110x1, 01010}}
{
   x1011xx011 \ {
   x101111011, x10110x011, x101101011, 11011xx011}}

{x0x01 \ {00001, 00101, 10101}, 1x011 \ {11011, 10011, 10011}, 11xxx \ {11x1x, 11100, 11011}}
{}
{}

{11x0x \ {1110x, 11x00, 11x01}}
{11x00 \ {11100}}
{
   11x0011x00 \ {
   11x0011100, 11x0011x00, 1110011x00}}

{x0xx0 \ {x00x0, x0010, 00000}}
{xx111 \ {01111, 10111, 00111}}
{}

{xxx10 \ {11110, 1x110, 01010}}
{}
{}

{010xx \ {01010, 0101x}, xxxx0 \ {x1010, 10x10, 01x10}}
{}
{}

{1x1x0 \ {11110, 111x0, 10110}, 000xx \ {000x0, 00001}, x0xx0 \ {10110, 10x10, 101x0}}
{1xxx0 \ {11000, 100x0, 11110}}
{
   1xxx01x1x0 \ {
   1xx101x100, 1xx001x110, 1xxx011110, 1xxx0111x0, 1xxx010110, 110001x1x0, 100x01x1x0, 111101x1x0}, 1xxx0000x0 \ {
   1xx1000000, 1xx0000010, 1xxx0000x0, 11000000x0, 100x0000x0, 11110000x0}, 1xxx0x0xx0 \ {
   1xx10x0x00, 1xx00x0x10, 1xxx010110, 1xxx010x10, 1xxx0101x0, 11000x0xx0, 100x0x0xx0, 11110x0xx0}}

{}
{x10xx \ {x10x1, 110x0, 010x1}, x001x \ {x0011, 10010, 10010}}
{}

{xxx1x \ {x111x, 10111, 1x11x}, 01x11 \ {01011}}
{xxx10 \ {0x010, xx110, xx010}, 010x0 \ {01000, 01010}}
{
   xxx10xxx10 \ {
   xxx10x1110, xxx101x110, 0x010xxx10, xx110xxx10, xx010xxx10}, 01010xxx10 \ {
   01010x1110, 010101x110, 01010xxx10}}

{1xx01 \ {10x01, 10101}}
{1011x \ {10110, 10111, 10111}, x1x1x \ {1101x, x111x, 01x10}}
{}

{}
{0x1x0 \ {001x0, 01110, 0x100}, 0xx11 \ {00x11, 00111, 0x011}}
{}

{xxx1x \ {1011x, 1xx1x, 0x110}, x0x11 \ {x0111, 10x11, 00111}}
{0x10x \ {0010x, 01100, 00101}}
{}

{1xx00 \ {10100, 1x100, 11100}}
{1x0xx \ {10010, 100xx, 110xx}, x00x1 \ {x0011, 00001, 00011}}
{
   1x0001xx00 \ {
   1x00010100, 1x0001x100, 1x00011100, 100001xx00, 110001xx00}}

{001x0 \ {00110, 00100, 00100}}
{0xx11 \ {00x11, 01111, 00111}, xx01x \ {x101x, 10011, 1001x}}
{
   xx01000110 \ {
   xx01000110, x101000110, 1001000110}}

{xxx00 \ {1xx00, 00x00, 00100}}
{111xx \ {111x0, 11101, 11101}, 01x0x \ {01000, 0110x, 0100x}}
{
   11100xxx00 \ {
   111001xx00, 1110000x00, 1110000100, 11100xxx00}, 01x00xxx00 \ {
   01x001xx00, 01x0000x00, 01x0000100, 01000xxx00, 01100xxx00, 01000xxx00}}

{xx10x \ {x010x, x0101, 0010x}}
{1x0xx \ {1101x, 10001, 10010}, x1xx1 \ {01x11, 01xx1, 11101}}
{
   1x00xxx10x \ {
   1x001xx100, 1x000xx101, 1x00xx010x, 1x00xx0101, 1x00x0010x, 10001xx10x}, x1x01xx101 \ {
   x1x01x0101, x1x01x0101, x1x0100101, 01x01xx101, 11101xx101}}

{1x11x \ {10111, 11111, 1x110}}
{1x011 \ {10011, 11011}, 1xxxx \ {10xx0, 101x0, 10011}}
{
   1x0111x111 \ {
   1x01110111, 1x01111111, 100111x111, 110111x111}, 1xx1x1x11x \ {
   1xx111x110, 1xx101x111, 1xx1x10111, 1xx1x11111, 1xx1x1x110, 10x101x11x, 101101x11x, 100111x11x}}

{01xx0 \ {011x0, 01x00, 01100}, x00x1 \ {00001, 10011}}
{0x10x \ {0010x, 0x100, 00100}, 1000x \ {10000, 10001, 10001}}
{
   0x10001x00 \ {
   0x10001100, 0x10001x00, 0x10001100, 0010001x00, 0x10001x00, 0010001x00}, 1000001x00 \ {
   1000001100, 1000001x00, 1000001100, 1000001x00}, 0x101x0001 \ {
   0x10100001, 00101x0001}, 10001x0001 \ {
   1000100001, 10001x0001, 10001x0001}}

{00x0x \ {00101, 00x00, 0000x}, 10x01 \ {10101, 10001}}
{1xx01 \ {11101, 1x001}}
{
   1xx0100x01 \ {
   1xx0100101, 1xx0100001, 1110100x01, 1x00100x01}, 1xx0110x01 \ {
   1xx0110101, 1xx0110001, 1110110x01, 1x00110x01}}

{}
{xx00x \ {xx001, x000x, 1000x}}
{}

{111x1 \ {11111}, 1x010 \ {11010, 10010}}
{x1x00 \ {01000, 11100, x1000}, 100xx \ {1001x, 10001, 10001}}
{
   100x1111x1 \ {
   1001111101, 1000111111, 100x111111, 10011111x1, 10001111x1, 10001111x1}, 100101x010 \ {
   1001011010, 1001010010, 100101x010}}

{111xx \ {1110x, 11110, 111x1}, 0xx11 \ {00111, 01011, 00011}, xx00x \ {0x001, x0001, 0100x}}
{x10xx \ {0101x, 1100x}}
{
   x10xx111xx \ {
   x10x1111x0, x10x0111x1, x101x1110x, x100x1111x, x10xx1110x, x10xx11110, x10xx111x1, 0101x111xx, 1100x111xx}, x10110xx11 \ {
   x101100111, x101101011, x101100011, 010110xx11}, x100xxx00x \ {
   x1001xx000, x1000xx001, x100x0x001, x100xx0001, x100x0100x, 1100xxx00x}}

{xxx10 \ {10x10, 0xx10, 00010}}
{x1101 \ {01101, 11101}}
{}

{
   11000110000000000001}

{
   00000000000100011011}

{
   00000000000100011011}

{
   11000110000000000001}

{
   00000000000100011011}

{
   11000000000001000110}

empty
{
   }

false
full
{
   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx}

true
{
   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx \ {
   xxxxxxxxxxxxxxxxx1xxxxxxxxxxxxxxxxxxxxxxxxxxxxx0xxxxxxxxxxxx, 
   xxxxxxxxxxxxxxxxx0xxxxxxxxxxxxxxxxxxxxxxxxxxxxx1xxxxxxxxxxxx, 
   xxxxxxxxxxxxxxxx1xxxxxxxxxxxxxxxxxxxxxxxxxxxxx0xxxxxxxxxxxxx, 
   xxxxxxxxxxxxxxxx0xxxxxxxxxxxxxxxxxxxxxxxxxxxxx1xxxxxxxxxxxxx, 
   xxxxxxxxxxxxxxx1xxxxxxxxxxxxxxxxxxxxxxxxxxxxx0xxxxxxxxxxxxxx, 
   xxxxxxxxxxxxxxx0xxxxxxxxxxxxxxxxxxxxxxxxxxxxx1xxxxxxxxxxxxxx, 
   xxxxxxxxxxxxxx1xxxxxxxxxxxxxxxxxxxxxxxxxxxxx0xxxxxxxxxxxxxxx, 
   xxxxxxxxxxxxxx0xxxxxxxxxxxxxxxxxxxxxxxxxxxxx1xxxxxxxxxxxxxxx, 
   xxxxxxxxxxxxx1xxxxxxxxxxxxxxxxxxxxxxxxxxxxx0xxxxxxxxxxxxxxxx, 
   xxxxxxxxxxxxx0xxxxxxxxxxxxxxxxxxxxxxxxxxxxx1xxxxxxxxxxxxxxxx, 
   xxxxxxxxxxxx1xxxxxxxxxxxxxxxxxxxxxxxxxxxxx0xxxxxxxxxxxxxxxxx, 
   xxxxxxxxxxxx0xxxxxxxxxxxxxxxxxxxxxxxxxxxxx1xxxxxxxxxxxxxxxxx}}

{
   }

{
   }

project
{
   xxxxxxxxxxxxxxxxxx}

{
   }

{
   000000111000000110000000000001, 
   000000100000010000000000001000, 
   000000000100010000000000100000}

{
   000000111000000110, 
   000000100000010000, 
   000000000100010000}

t1 before:{
   000000000100010000000000100000}

t1 after:{
   000000000100010000000000100000, 
   000000111000000110000000000001, 
   000000100000010000000000001000}

delta:{
   xxxxxxxxxxxxxxxxxxxxxxxxxxxxxx}

{
   001001001000001001, 
   010001001000001001}

{
   001001001000001001}

filter: (= (:var 0) (:var 1)) {xxx \ {x01, x10}}

filter: (or (= (:var 0) (:var 1)) (= (:var 0) (:var 2))) {xxx \ {001, 110}}

filter: (or (= (:var 0) (:var 1)) (= (:var 0) (:var 2))) {xxx \ {001, 110}}

filter interpreted
filter: true {
   xxxxxxxxxxxxxxxxxx}

filter: false {
   }

filter: (= (:var 0) (:var 2)) {
   xxxxxxxxxxxxxxxxxx \ {
   xxxxxxxx0xxxxxxxx1, 
   xxxxxxxx1xxxxxxxx0, 
   xxxxxxx0xxxxxxxx1x, 
   xxxxxxx1xxxxxxxx0x, 
   xxxxxx0xxxxxxxx1xx, 
   xxxxxx1xxxxxxxx0xx}}

filter: (not (= (:var 0) (:var 2))) {
   xxxxxxxx0xxxxxxxx1, 
   xxxxxxxx1xxxxxxxx0, 
   xxxxxxx0xxxxxxxx1x, 
   xxxxxxx1xxxxxxxx0x, 
   xxxxxx0xxxxxxxx1xx, 
   xxxxxx1xxxxxxxx0xx}

filter: (= (:var 0) #b010) {
   xxxxxxxxxxxxxxx010}

filter: (= ((_ extract 2 1) (:var 0)) #b11) {
   xxxxxxxxxxxxxxx11x}

filter: (or (= ((_ extract 2 1) (:var 0)) #b11) (= (:var 3) (:var 4))) {
   xxxxxxxxxxxxxxxxxx \ {
   xx0xx1xxxxxxxxxxxx, 
   xx1xx0xxxxxxxxxxxx, 
   x0xx1xxxxxxxxxxxxx, 
   x1xx0xxxxxxxxxxxxx, 
   0xx1xxxxxxxxxxxxxx, 
   1xx0xxxxxxxxxxxxxx}, 
   1xx0xxxxxxxxxxx11x \ {
   1x00x1xxxxxxxxx11x, 
   1x10x0xxxxxxxxx11x, 
   10x01xxxxxxxxxx11x, 
   11x00xxxxxxxxxx11x}, 
   0xx1xxxxxxxxxxx11x \ {
   0x01x1xxxxxxxxx11x, 
   0x11x0xxxxxxxxx11x, 
   00x11xxxxxxxxxx11x, 
   01x10xxxxxxxxxx11x}, 
   x1xx0xxxxxxxxxx11x \ {
   x10x01xxxxxxxxx11x, 
   x11x00xxxxxxxxx11x, 
   01x10xxxxxxxxxx11x, 
   11x00xxxxxxxxxx11x}, 
   11x00xxxxxxxxxx11x \ {
   110001xxxxxxxxx11x, 
   111000xxxxxxxxx11x}, 
   01x10xxxxxxxxxx11x \ {
   010101xxxxxxxxx11x, 
   011100xxxxxxxxx11x}, 
   x0xx1xxxxxxxxxx11x \ {
   x00x11xxxxxxxxx11x, 
   x01x10xxxxxxxxx11x, 
   00x11xxxxxxxxxx11x, 
   10x01xxxxxxxxxx11x}, 
   10x01xxxxxxxxxx11x \ {
   100011xxxxxxxxx11x, 
   101010xxxxxxxxx11x}, 
   00x11xxxxxxxxxx11x \ {
   000111xxxxxxxxx11x, 
   001110xxxxxxxxx11x}, 
   xx1xx0xxxxxxxxx11x \ {
   x01x10xxxxxxxxx11x, 
   x11x00xxxxxxxxx11x, 
   0x11x0xxxxxxxxx11x, 
   1x10x0xxxxxxxxx11x}, 
   1x10x0xxxxxxxxx11x \ {
   101010xxxxxxxxx11x, 
   111000xxxxxxxxx11x}, 
   0x11x0xxxxxxxxx11x \ {
   001110xxxxxxxxx11x, 
   011100xxxxxxxxx11x}, 
   x11x00xxxxxxxxx11x \ {
   011100xxxxxxxxx11x, 
   111000xxxxxxxxx11x}, 
   111000xxxxxxxxx11x, 
   011100xxxxxxxxx11x, 
   x01x10xxxxxxxxx11x \ {
   001110xxxxxxxxx11x, 
   101010xxxxxxxxx11x}, 
   101010xxxxxxxxx11x, 
   001110xxxxxxxxx11x, 
   xx0xx1xxxxxxxxx11x \ {
   x00x11xxxxxxxxx11x, 
   x10x01xxxxxxxxx11x, 
   0x01x1xxxxxxxxx11x, 
   1x00x1xxxxxxxxx11x}, 
   1x00x1xxxxxxxxx11x \ {
   100011xxxxxxxxx11x, 
   110001xxxxxxxxx11x}, 
   0x01x1xxxxxxxxx11x \ {
   000111xxxxxxxxx11x, 
   010101xxxxxxxxx11x}, 
   x10x01xxxxxxxxx11x \ {
   010101xxxxxxxxx11x, 
   110001xxxxxxxxx11x}, 
   110001xxxxxxxxx11x, 
   010101xxxxxxxxx11x, 
   x00x11xxxxxxxxx11x \ {
   000111xxxxxxxxx11x, 
   100011xxxxxxxxx11x}, 
   100011xxxxxxxxx11x, 
   000111xxxxxxxxx11x}

filter: (= ((_ extract 2 1) (:var 3)) ((_ extract 1 0) (:var 4))) {
   xxxxxxxxxxxxxxxxxx \ {
   xx0x1xxxxxxxxxxxxx, 
   xx1x0xxxxxxxxxxxxx, 
   x0x1xxxxxxxxxxxxxx, 
   x1x0xxxxxxxxxxxxxx}}

filter: (or (= ((_ extract 2 1) (:var 0)) #b11)
    (= ((_ extract 2 1) (:var 3)) ((_ extract 1 0) (:var 4)))) {
   xxxxxxxxxxxxxxxxxx \ {
   xx0x1xxxxxxxxxxxxx, 
   xx1x0xxxxxxxxxxxxx, 
   x0x1xxxxxxxxxxxxxx, 
   x1x0xxxxxxxxxxxxxx}, 
   x1x0xxxxxxxxxxx11x \ {
   x1001xxxxxxxxxx11x, 
   x1100xxxxxxxxxx11x}, 
   x0x1xxxxxxxxxxx11x \ {
   x0011xxxxxxxxxx11x, 
   x0110xxxxxxxxxx11x}, 
   xx1x0xxxxxxxxxx11x \ {
   x0110xxxxxxxxxx11x, 
   x1100xxxxxxxxxx11x}, 
   x1100xxxxxxxxxx11x, 
   x0110xxxxxxxxxx11x, 
   xx0x1xxxxxxxxxx11x \ {
   x0011xxxxxxxxxx11x, 
   x1001xxxxxxxxxx11x}, 
   x1001xxxxxxxxxx11x, 
   x0011xxxxxxxxxx11x}

filter: (or (= (:var 0) (:var 2)) (= (:var 0) (:var 4))) {
   xxxxxxxxxxxxxxxxxx \ {
   xx0xxxxx0xxxxxxxx1, 
   x0xxxxxx0xxxxxxx11, 
   x1xxxxxx0xxxxxxx01, 
   0xxxxxxx0xxxxxx1x1, 
   1xxxxxxx0xxxxxx0x1, 
   xx1xxxxx1xxxxxxxx0, 
   x0xxxxxx1xxxxxxx10, 
   x1xxxxxx1xxxxxxx00, 
   0xxxxxxx1xxxxxx1x0, 
   1xxxxxxx1xxxxxx0x0, 
   xx0xxxx0xxxxxxxx11, 
   xx1xxxx0xxxxxxxx10, 
   x0xxxxx0xxxxxxxx1x, 
   0xxxxxx0xxxxxxx11x, 
   1xxxxxx0xxxxxxx01x, 
   xx0xxxx1xxxxxxxx01, 
   xx1xxxx1xxxxxxxx00, 
   x1xxxxx1xxxxxxxx0x, 
   0xxxxxx1xxxxxxx10x, 
   1xxxxxx1xxxxxxx00x, 
   xx0xxx0xxxxxxxx1x1, 
   xx1xxx0xxxxxxxx1x0, 
   x0xxxx0xxxxxxxx11x, 
   x1xxxx0xxxxxxxx10x, 
   0xxxxx0xxxxxxxx1xx, 
   xx0xxx1xxxxxxxx0x1, 
   xx1xxx1xxxxxxxx0x0, 
   x0xxxx1xxxxxxxx01x, 
   x1xxxx1xxxxxxxx00x, 
   1xxxxx1xxxxxxxx0xx}}

filter: (or (= (:var 0) (:var 2)) (= (:var 3) (:var 4))) {
   xxxxxxxxxxxxxxxxxx \ {
   xx0xx1xx0xxxxxxxx1, 
   xx1xx0xx0xxxxxxxx1, 
   x0xx1xxx0xxxxxxxx1, 
   x1xx0xxx0xxxxxxxx1, 
   0xx1xxxx0xxxxxxxx1, 
   1xx0xxxx0xxxxxxxx1, 
   xx0xx1xx1xxxxxxxx0, 
   xx1xx0xx1xxxxxxxx0, 
   x0xx1xxx1xxxxxxxx0, 
   x1xx0xxx1xxxxxxxx0, 
   0xx1xxxx1xxxxxxxx0, 
   1xx0xxxx1xxxxxxxx0, 
   xx0xx1x0xxxxxxxx1x, 
   xx1xx0x0xxxxxxxx1x, 
   x0xx1xx0xxxxxxxx1x, 
   x1xx0xx0xxxxxxxx1x, 
   0xx1xxx0xxxxxxxx1x, 
   1xx0xxx0xxxxxxxx1x, 
   xx0xx1x1xxxxxxxx0x, 
   xx1xx0x1xxxxxxxx0x, 
   x0xx1xx1xxxxxxxx0x, 
   x1xx0xx1xxxxxxxx0x, 
   0xx1xxx1xxxxxxxx0x, 
   1xx0xxx1xxxxxxxx0x, 
   xx0xx10xxxxxxxx1xx, 
   xx1xx00xxxxxxxx1xx, 
   x0xx1x0xxxxxxxx1xx, 
   x1xx0x0xxxxxxxx1xx, 
   0xx1xx0xxxxxxxx1xx, 
   1xx0xx0xxxxxxxx1xx, 
   xx0xx11xxxxxxxx0xx, 
   xx1xx01xxxxxxxx0xx, 
   x0xx1x1xxxxxxxx0xx, 
   x1xx0x1xxxxxxxx0xx, 
   0xx1xx1xxxxxxxx0xx, 
   1xx0xx1xxxxxxxx0xx}}

filter: (or (= ((_ extract 2 1) (:var 0)) ((_ extract 1 0) (:var 2)))
    (= (:var 3) (:var 4))) {
   xxxxxxxxxxxxxxxxxx \ {
   xx0xx1xx0xxxxxxx1x, 
   xx1xx0xx0xxxxxxx1x, 
   x0xx1xxx0xxxxxxx1x, 
   x1xx0xxx0xxxxxxx1x, 
   0xx1xxxx0xxxxxxx1x, 
   1xx0xxxx0xxxxxxx1x, 
   xx0xx1xx1xxxxxxx0x, 
   xx1xx0xx1xxxxxxx0x, 
   x0xx1xxx1xxxxxxx0x, 
   x1xx0xxx1xxxxxxx0x, 
   0xx1xxxx1xxxxxxx0x, 
   1xx0xxxx1xxxxxxx0x, 
   xx0xx1x0xxxxxxx1xx, 
   xx1xx0x0xxxxxxx1xx, 
   x0xx1xx0xxxxxxx1xx, 
   x1xx0xx0xxxxxxx1xx, 
   0xx1xxx0xxxxxxx1xx, 
   1xx0xxx0xxxxxxx1xx, 
   xx0xx1x1xxxxxxx0xx, 
   xx1xx0x1xxxxxxx0xx, 
   x0xx1xx1xxxxxxx0xx, 
   x1xx0xx1xxxxxxx0xx, 
   0xx1xxx1xxxxxxx0xx, 
   1xx0xxx1xxxxxxx0xx}}

filter: (or (= ((_ extract 2 1) (:var 0)) #b11) (= (:var 3) (:var 4))) {
   xxxxxxxxxxxxxxxxxx \ {
   xx0xx1xxxxxxxxxxxx, 
   xx1xx0xxxxxxxxxxxx, 
   x0xx1xxxxxxxxxxxxx, 
   x1xx0xxxxxxxxxxxxx, 
   0xx1xxxxxxxxxxxxxx, 
   1xx0xxxxxxxxxxxxxx}, 
   1xx0xxxxxxxxxxx11x \ {
   1x00x1xxxxxxxxx11x, 
   1x10x0xxxxxxxxx11x, 
   10x01xxxxxxxxxx11x, 
   11x00xxxxxxxxxx11x}, 
   0xx1xxxxxxxxxxx11x \ {
   0x01x1xxxxxxxxx11x, 
   0x11x0xxxxxxxxx11x, 
   00x11xxxxxxxxxx11x, 
   01x10xxxxxxxxxx11x}, 
   x1xx0xxxxxxxxxx11x \ {
   x10x01xxxxxxxxx11x, 
   x11x00xxxxxxxxx11x, 
   01x10xxxxxxxxxx11x, 
   11x00xxxxxxxxxx11x}, 
   11x00xxxxxxxxxx11x \ {
   110001xxxxxxxxx11x, 
   111000xxxxxxxxx11x}, 
   01x10xxxxxxxxxx11x \ {
   010101xxxxxxxxx11x, 
   011100xxxxxxxxx11x}, 
   x0xx1xxxxxxxxxx11x \ {
   x00x11xxxxxxxxx11x, 
   x01x10xxxxxxxxx11x, 
   00x11xxxxxxxxxx11x, 
   10x01xxxxxxxxxx11x}, 
   10x01xxxxxxxxxx11x \ {
   100011xxxxxxxxx11x, 
   101010xxxxxxxxx11x}, 
   00x11xxxxxxxxxx11x \ {
   000111xxxxxxxxx11x, 
   001110xxxxxxxxx11x}, 
   xx1xx0xxxxxxxxx11x \ {
   x01x10xxxxxxxxx11x, 
   x11x00xxxxxxxxx11x, 
   0x11x0xxxxxxxxx11x, 
   1x10x0xxxxxxxxx11x}, 
   1x10x0xxxxxxxxx11x \ {
   101010xxxxxxxxx11x, 
   111000xxxxxxxxx11x}, 
   0x11x0xxxxxxxxx11x \ {
   001110xxxxxxxxx11x, 
   011100xxxxxxxxx11x}, 
   x11x00xxxxxxxxx11x \ {
   011100xxxxxxxxx11x, 
   111000xxxxxxxxx11x}, 
   111000xxxxxxxxx11x, 
   011100xxxxxxxxx11x, 
   x01x10xxxxxxxxx11x \ {
   001110xxxxxxxxx11x, 
   101010xxxxxxxxx11x}, 
   101010xxxxxxxxx11x, 
   001110xxxxxxxxx11x, 
   xx0xx1xxxxxxxxx11x \ {
   x00x11xxxxxxxxx11x, 
   x10x01xxxxxxxxx11x, 
   0x01x1xxxxxxxxx11x, 
   1x00x1xxxxxxxxx11x}, 
   1x00x1xxxxxxxxx11x \ {
   100011xxxxxxxxx11x, 
   110001xxxxxxxxx11x}, 
   0x01x1xxxxxxxxx11x \ {
   000111xxxxxxxxx11x, 
   010101xxxxxxxxx11x}, 
   x10x01xxxxxxxxx11x \ {
   010101xxxxxxxxx11x, 
   110001xxxxxxxxx11x}, 
   110001xxxxxxxxx11x, 
   010101xxxxxxxxx11x, 
   x00x11xxxxxxxxx11x \ {
   000111xxxxxxxxx11x, 
   100011xxxxxxxxx11x}, 
   100011xxxxxxxxx11x, 
   000111xxxxxxxxx11x}

filter: (or (= ((_ extract 2 1) (:var 0)) #b11) (= (:var 3) #b011)) {
   xxxxxxxxxxxxxxx11x, 
   xxx011xxxxxxxxxxxx}

filter: (or (= (:var 0) #b101) (= (:var 3) #b101)) {
   xxxxxxxxxxxxxxx101, 
   xxx101xxxxxxxxxxxx}

filter: (or (= (:var 0) #b111) (= (:var 3) #b111)) {
   xxxxxxxxxxxxxxx111, 
   xxx111xxxxxxxxxxxx}

filter: (not (or (= (:var 0) (:var 2)) (= (:var 3) (:var 4)))) {
   xx0xx1xx0xxxxxxxx1, 
   xx0xx1xx1xxxxxxxx0, 
   xx0xx1x0xxxxxxxx1x, 
   xx0xx1x1xxxxxxxx0x, 
   xx0xx10xxxxxxxx1xx, 
   xx0xx11xxxxxxxx0xx, 
   xx1xx0xx0xxxxxxxx1, 
   xx1xx0xx1xxxxxxxx0, 
   xx1xx0x0xxxxxxxx1x, 
   xx1xx0x1xxxxxxxx0x, 
   xx1xx00xxxxxxxx1xx, 
   xx1xx01xxxxxxxx0xx, 
   x0xx1xxx0xxxxxxxx1, 
   x0xx1xxx1xxxxxxxx0, 
   x0xx1xx0xxxxxxxx1x, 
   x0xx1xx1xxxxxxxx0x, 
   x0xx1x0xxxxxxxx1xx, 
   x0xx1x1xxxxxxxx0xx, 
   x1xx0xxx0xxxxxxxx1, 
   x1xx0xxx1xxxxxxxx0, 
   x1xx0xx0xxxxxxxx1x, 
   x1xx0xx1xxxxxxxx0x, 
   x1xx0x0xxxxxxxx1xx, 
   x1xx0x1xxxxxxxx0xx, 
   0xx1xxxx0xxxxxxxx1, 
   0xx1xxxx1xxxxxxxx0, 
   0xx1xxx0xxxxxxxx1x, 
   0xx1xxx1xxxxxxxx0x, 
   0xx1xx0xxxxxxxx1xx, 
   0xx1xx1xxxxxxxx0xx, 
   1xx0xxxx0xxxxxxxx1, 
   1xx0xxxx1xxxxxxxx0, 
   1xx0xxx0xxxxxxxx1x, 
   1xx0xxx1xxxxxxxx0x, 
   1xx0xx0xxxxxxxx1xx, 
   1xx0xx1xxxxxxxx0xx}

filter: (= (:var 0) (:var 2)) {
   xxxxxxxxxxxxxxxxxx \ {
   xxxxxxxx0xxxxxxxx1, 
   xxxxxxxx1xxxxxxxx0, 
   xxxxxxx0xxxxxxxx1x, 
   xxxxxxx1xxxxxxxx0x, 
   xxxxxx0xxxxxxxx1xx, 
   xxxxxx1xxxxxxxx0xx}}

filter: (not (= (:var 0) (:var 2))) {
   xxxxxxxx0xxxxxxxx1, 
   xxxxxxxx1xxxxxxxx0, 
   xxxxxxx0xxxxxxxx1x, 
   xxxxxxx1xxxxxxxx0x, 
   xxxxxx0xxxxxxxx1xx, 
   xxxxxx1xxxxxxxx0xx}

PASS
(test udoc_relation :time 26.42 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test string_buffer :time 0.01 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test string_buffer :time 0.01 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test map :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test map :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test diff_logic :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test diff_logic :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test uint_set :time 0.11 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test uint_set :time 0.11 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test list :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test list :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test small_object_allocator :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test small_object_allocator :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test timeout :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test timeout :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
[hypothesis]: a
#5 := (not a)
[hypothesis]: #5
#5 := (not a)
#6 := [hypothesis]: #5
#4 := [hypothesis]: a
#7 := [unit-resolution #4 #6]: false
[lemma #7]: a
#5 := (not a)
#10 := (or a #5)
#6 := [hypothesis]: #5
#4 := [hypothesis]: a
#7 := [unit-resolution #4 #6]: false
[lemma #7]: #10
PASS
(test proof_checker :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
[hypothesis]: a
#5 := (not a)
[hypothesis]: #5
#5 := (not a)
#6 := [hypothesis]: #5
#4 := [hypothesis]: a
#7 := [unit-resolution #4 #6]: false
[lemma #7]: a
#5 := (not a)
#10 := (or a #5)
#6 := [hypothesis]: #5
#4 := [hypothesis]: a
#7 := [unit-resolution #4 #6]: false
[lemma #7]: #10
PASS
(test proof_checker :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test simplifier :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test simplifier :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
compare: 0 >> 0 = 0 with #x00000000
0
compare: 0 >> 1 = 0 with #x00000000
0
compare: 0 >> 4294967295 = 0 with #x00000000
0
compare: 0 >> 2 = 0 with #x00000000
0
compare: 0 >> 31 = 0 with #x00000000
0
compare: 0 >> 32 = 0 with #x00000000
0
compare: 0 >> 33 = 0 with #x00000000
0
compare: 0 >> 435562 = 0 with #x00000000
0
compare: 0 >> 4251411085 = 0 with #x00000000
0
compare: 1 >> 0 = 1 with #x00000001
1
compare: 1 >> 1 = 0 with #x00000000
0
compare: 1 >> 4294967295 = 0 with #x00000000
0
compare: 1 >> 2 = 0 with #x00000000
0
compare: 1 >> 31 = 0 with #x00000000
0
compare: 1 >> 32 = 0 with #x00000000
0
compare: 1 >> 33 = 0 with #x00000000
0
compare: 1 >> 435562 = 0 with #x00000000
0
compare: 1 >> 4251411085 = 0 with #x00000000
0
compare: -1 >> 0 = -1 with #xffffffff
-1
compare: -1 >> 1 = -1 with #xffffffff
-1
compare: -1 >> 4294967295 = -1 with #xffffffff
-1
compare: -1 >> 2 = -1 with #xffffffff
-1
compare: -1 >> 31 = -1 with #xffffffff
-1
compare: -1 >> 32 = -1 with #xffffffff
-1
compare: -1 >> 33 = -1 with #xffffffff
-1
compare: -1 >> 435562 = -1 with #xffffffff
-1
compare: -1 >> 4251411085 = -1 with #xffffffff
-1
compare: 2 >> 0 = 2 with #x00000002
2
compare: 2 >> 1 = 1 with #x00000001
1
compare: 2 >> 4294967295 = 0 with #x00000000
0
compare: 2 >> 2 = 0 with #x00000000
0
compare: 2 >> 31 = 0 with #x00000000
0
compare: 2 >> 32 = 0 with #x00000000
0
compare: 2 >> 33 = 0 with #x00000000
0
compare: 2 >> 435562 = 0 with #x00000000
0
compare: 2 >> 4251411085 = 0 with #x00000000
0
compare: 31 >> 0 = 31 with #x0000001f
31
compare: 31 >> 1 = 15 with #x0000000f
15
compare: 31 >> 4294967295 = 0 with #x00000000
0
compare: 31 >> 2 = 7 with #x00000007
7
compare: 31 >> 31 = 0 with #x00000000
0
compare: 31 >> 32 = 0 with #x00000000
0
compare: 31 >> 33 = 0 with #x00000000
0
compare: 31 >> 435562 = 0 with #x00000000
0
compare: 31 >> 4251411085 = 0 with #x00000000
0
compare: 32 >> 0 = 32 with #x00000020
32
compare: 32 >> 1 = 16 with #x00000010
16
compare: 32 >> 4294967295 = 0 with #x00000000
0
compare: 32 >> 2 = 8 with #x00000008
8
compare: 32 >> 31 = 0 with #x00000000
0
compare: 32 >> 32 = 0 with #x00000000
0
compare: 32 >> 33 = 0 with #x00000000
0
compare: 32 >> 435562 = 0 with #x00000000
0
compare: 32 >> 4251411085 = 0 with #x00000000
0
compare: 33 >> 0 = 33 with #x00000021
33
compare: 33 >> 1 = 16 with #x00000010
16
compare: 33 >> 4294967295 = 0 with #x00000000
0
compare: 33 >> 2 = 8 with #x00000008
8
compare: 33 >> 31 = 0 with #x00000000
0
compare: 33 >> 32 = 0 with #x00000000
0
compare: 33 >> 33 = 0 with #x00000000
0
compare: 33 >> 435562 = 0 with #x00000000
0
compare: 33 >> 4251411085 = 0 with #x00000000
0
compare: 435562 >> 0 = 435562 with #x0006a56a
435562
compare: 435562 >> 1 = 217781 with #x000352b5
217781
compare: 435562 >> 4294967295 = 0 with #x00000000
0
compare: 435562 >> 2 = 108890 with #x0001a95a
108890
compare: 435562 >> 31 = 0 with #x00000000
0
compare: 435562 >> 32 = 0 with #x00000000
0
compare: 435562 >> 33 = 0 with #x00000000
0
compare: 435562 >> 435562 = 0 with #x00000000
0
compare: 435562 >> 4251411085 = 0 with #x00000000
0
compare: -43556211 >> 0 = -43556211 with #xfd67628d
-43556211
compare: -43556211 >> 1 = -21778106 with #xfeb3b146
-21778106
compare: -43556211 >> 4294967295 = -1 with #xffffffff
-1
compare: -43556211 >> 2 = -10889053 with #xff59d8a3
-10889053
compare: -43556211 >> 31 = -1 with #xffffffff
-1
compare: -43556211 >> 32 = -1 with #xffffffff
-1
compare: -43556211 >> 33 = -1 with #xffffffff
-1
compare: -43556211 >> 435562 = -1 with #xffffffff
-1
compare: -43556211 >> 4251411085 = -1 with #xffffffff
-1
PASS
(test bv_simplifier_plugin :time 0.04 :before-memory 1464.86 :after-memory 1464.86)
compare: 0 >> 0 = 0 with #x00000000
0
compare: 0 >> 1 = 0 with #x00000000
0
compare: 0 >> 4294967295 = 0 with #x00000000
0
compare: 0 >> 2 = 0 with #x00000000
0
compare: 0 >> 31 = 0 with #x00000000
0
compare: 0 >> 32 = 0 with #x00000000
0
compare: 0 >> 33 = 0 with #x00000000
0
compare: 0 >> 435562 = 0 with #x00000000
0
compare: 0 >> 4251411085 = 0 with #x00000000
0
compare: 1 >> 0 = 1 with #x00000001
1
compare: 1 >> 1 = 0 with #x00000000
0
compare: 1 >> 4294967295 = 0 with #x00000000
0
compare: 1 >> 2 = 0 with #x00000000
0
compare: 1 >> 31 = 0 with #x00000000
0
compare: 1 >> 32 = 0 with #x00000000
0
compare: 1 >> 33 = 0 with #x00000000
0
compare: 1 >> 435562 = 0 with #x00000000
0
compare: 1 >> 4251411085 = 0 with #x00000000
0
compare: -1 >> 0 = -1 with #xffffffff
-1
compare: -1 >> 1 = -1 with #xffffffff
-1
compare: -1 >> 4294967295 = -1 with #xffffffff
-1
compare: -1 >> 2 = -1 with #xffffffff
-1
compare: -1 >> 31 = -1 with #xffffffff
-1
compare: -1 >> 32 = -1 with #xffffffff
-1
compare: -1 >> 33 = -1 with #xffffffff
-1
compare: -1 >> 435562 = -1 with #xffffffff
-1
compare: -1 >> 4251411085 = -1 with #xffffffff
-1
compare: 2 >> 0 = 2 with #x00000002
2
compare: 2 >> 1 = 1 with #x00000001
1
compare: 2 >> 4294967295 = 0 with #x00000000
0
compare: 2 >> 2 = 0 with #x00000000
0
compare: 2 >> 31 = 0 with #x00000000
0
compare: 2 >> 32 = 0 with #x00000000
0
compare: 2 >> 33 = 0 with #x00000000
0
compare: 2 >> 435562 = 0 with #x00000000
0
compare: 2 >> 4251411085 = 0 with #x00000000
0
compare: 31 >> 0 = 31 with #x0000001f
31
compare: 31 >> 1 = 15 with #x0000000f
15
compare: 31 >> 4294967295 = 0 with #x00000000
0
compare: 31 >> 2 = 7 with #x00000007
7
compare: 31 >> 31 = 0 with #x00000000
0
compare: 31 >> 32 = 0 with #x00000000
0
compare: 31 >> 33 = 0 with #x00000000
0
compare: 31 >> 435562 = 0 with #x00000000
0
compare: 31 >> 4251411085 = 0 with #x00000000
0
compare: 32 >> 0 = 32 with #x00000020
32
compare: 32 >> 1 = 16 with #x00000010
16
compare: 32 >> 4294967295 = 0 with #x00000000
0
compare: 32 >> 2 = 8 with #x00000008
8
compare: 32 >> 31 = 0 with #x00000000
0
compare: 32 >> 32 = 0 with #x00000000
0
compare: 32 >> 33 = 0 with #x00000000
0
compare: 32 >> 435562 = 0 with #x00000000
0
compare: 32 >> 4251411085 = 0 with #x00000000
0
compare: 33 >> 0 = 33 with #x00000021
33
compare: 33 >> 1 = 16 with #x00000010
16
compare: 33 >> 4294967295 = 0 with #x00000000
0
compare: 33 >> 2 = 8 with #x00000008
8
compare: 33 >> 31 = 0 with #x00000000
0
compare: 33 >> 32 = 0 with #x00000000
0
compare: 33 >> 33 = 0 with #x00000000
0
compare: 33 >> 435562 = 0 with #x00000000
0
compare: 33 >> 4251411085 = 0 with #x00000000
0
compare: 435562 >> 0 = 435562 with #x0006a56a
435562
compare: 435562 >> 1 = 217781 with #x000352b5
217781
compare: 435562 >> 4294967295 = 0 with #x00000000
0
compare: 435562 >> 2 = 108890 with #x0001a95a
108890
compare: 435562 >> 31 = 0 with #x00000000
0
compare: 435562 >> 32 = 0 with #x00000000
0
compare: 435562 >> 33 = 0 with #x00000000
0
compare: 435562 >> 435562 = 0 with #x00000000
0
compare: 435562 >> 4251411085 = 0 with #x00000000
0
compare: -43556211 >> 0 = -43556211 with #xfd67628d
-43556211
compare: -43556211 >> 1 = -21778106 with #xfeb3b146
-21778106
compare: -43556211 >> 4294967295 = -1 with #xffffffff
-1
compare: -43556211 >> 2 = -10889053 with #xff59d8a3
-10889053
compare: -43556211 >> 31 = -1 with #xffffffff
-1
compare: -43556211 >> 32 = -1 with #xffffffff
-1
compare: -43556211 >> 33 = -1 with #xffffffff
-1
compare: -43556211 >> 435562 = -1 with #xffffffff
-1
compare: -43556211 >> 4251411085 = -1 with #xffffffff
-1
PASS
(test bv_simplifier_plugin :time 0.04 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test bit_blaster :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test bit_blaster :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
(forall ((y S)) (and (p y (:var 1)) (p (:var 2) (:var 3))))
(forall ((y S)) (and (p y (:var 2)) (p (:var 1) (:var 3))))
(forall ((y S)) (and (p y (:var 2)) (p (:var 1) (:var 3))))
(forall ((y S) (x S)) (and (p x y) (p (:var 2) (:var 3))))
(forall ((y S) (x S)) (and (p x y) (p (:var 3) (:var 2))))
(forall ((y S) (x S)) (and (p x y) (p (:var 3) (:var 2))))
PASS
(test var_subst :time 0.01 :before-memory 1464.86 :after-memory 1464.86)
(forall ((y S)) (and (p y (:var 1)) (p (:var 2) (:var 3))))
(forall ((y S)) (and (p y (:var 2)) (p (:var 1) (:var 3))))
(forall ((y S)) (and (p y (:var 2)) (p (:var 1) (:var 3))))
(forall ((y S) (x S)) (and (p x y) (p (:var 2) (:var 3))))
(forall ((y S) (x S)) (and (p x y) (p (:var 3) (:var 2))))
(forall ((y S) (x S)) (and (p x y) (p (:var 3) (:var 2))))
PASS
(test var_subst :time 0.01 :before-memory 1464.86 :after-memory 1464.86)
WARNING: parser error
WARNING: parser error
WARNING: parser error
PASS
(test simple_parser :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
WARNING: parser error
WARNING: parser error
WARNING: parser error
PASS
(test simple_parser :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test api :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test api :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
x: (1, 2), y: (-2, 3), z: (-1, 5)
x: (1, 2), y: (-2, 3), z: (-4, 6)
[10, 10]
(-oo, oo)
[-10, oo)
(-oo, 10]
(-10, oo)
(-oo, 10)
[2, 10]
[[-25, 25), 0x1, 0x2, 0x3, 0x4, 0x1, 0x2, 0x3, 0x4]
[[1/3, oo), 0x1, 0x2, 0x3]
[[0, 9], 0x1, 0x2]
[[0, 16), 0x1, 0x2]
[(4, 16], 0x1, 0x1, 0x2]
[[0, 9], 0x1, 0x2]
[[4, 16), 0x2, 0x2, 0x1]
[2, 10] * (0, 1/10] = [(0, 1], 0x1, 0x3, 0x2, 0x3]
[-2, -1) * [-3, 0] = [0, 6]
(1, 2] * [0, 3] = [0, 6]
(1, 2) * [-3, 0] = (-6, 0]
[10, 20] / (0, 1] = [10, oo)
[5, oo)
PASS
(test old_interval :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
x: (1, 2), y: (-2, 3), z: (-1, 5)
x: (1, 2), y: (-2, 3), z: (-4, 6)
[10, 10]
(-oo, oo)
[-10, oo)
(-oo, 10]
(-10, oo)
(-oo, 10)
[2, 10]
[[-25, 25), 0x1, 0x2, 0x3, 0x4, 0x1, 0x2, 0x3, 0x4]
[[1/3, oo), 0x1, 0x2, 0x3]
[[0, 9], 0x1, 0x2]
[[0, 16), 0x1, 0x2]
[(4, 16], 0x1, 0x1, 0x2]
[[0, 9], 0x1, 0x2]
[[4, 16), 0x2, 0x2, 0x1]
[2, 10] * (0, 1/10] = [(0, 1], 0x1, 0x3, 0x2, 0x3]
[-2, -1) * [-3, 0] = [0, 6]
(1, 2] * [0, 3] = [0, 6]
(1, 2) * [-3, 0] = (-6, 0]
[10, 20] / (0, 1] = [10, oo)
[5, oo)
PASS
(test old_interval :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
Class a |-> 0
Class b |-> 0
Class c |-> 2
Class d |-> 0
Class (f a) |-> 4
Class (f b) |-> 4
Class (f c) |-> 6
asserting b <= f(a)
Class a |-> 0
Class b |-> 0
Class c |-> 2
Class d |-> 0
Class (f a) |-> 0
Class (f b) |-> 0
Class (f c) |-> 0
Class ((as const (Array Int Int)) 1) |-> 0
Class (store ((as const (Array Int Int)) 1) 1 a) |-> 1
Class (store (store ((as const (Array Int Int)) 1) 1 a) 2 b) |-> 2
Class (store ((as const (Array Int Int)) 1) 2 b) |-> 3
Class (store (store ((as const (Array Int Int)) 1) 2 b) 1 a) |-> 2
PASS
(test get_implied_equalities :time 0.03 :before-memory 1464.86 :after-memory 1464.86)
Class a |-> 0
Class b |-> 0
Class c |-> 2
Class d |-> 0
Class (f a) |-> 4
Class (f b) |-> 4
Class (f c) |-> 6
asserting b <= f(a)
Class a |-> 0
Class b |-> 0
Class c |-> 2
Class d |-> 0
Class (f a) |-> 0
Class (f b) |-> 0
Class (f c) |-> 0
Class ((as const (Array Int Int)) 1) |-> 0
Class (store ((as const (Array Int Int)) 1) 1 a) |-> 1
Class (store (store ((as const (Array Int Int)) 1) 1 a) 2 b) |-> 2
Class (store ((as const (Array Int Int)) 1) 2 b) |-> 3
Class (store (store ((as const (Array Int Int)) 1) 2 b) 1 a) |-> 2
PASS
(test get_implied_equalities :time 0.02 :before-memory 1464.86 :after-memory 1464.86)
not solved
 1 3 0 0
PASS
(test arith_simplifier_plugin :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
not solved
 1 3 0 0
PASS
(test arith_simplifier_plugin :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test matcher :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test matcher :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test object_allocator :time 0.21 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test object_allocator :time 0.28 :before-memory 1464.86 :after-memory 1464.86)
i: 0, a: 1
i: 1, a: 2
i: 2, a: 4
i: 3, a: 8
i: 4, a: 16
i: 5, a: 32
i: 6, a: 64
i: 7, a: 128
i: 8, a: 256
i: 9, a: 512
i: 10, a: 1024
i: 11, a: 2048
i: 12, a: 4096
i: 13, a: 8192
i: 14, a: 16384
i: 15, a: 32768
i: 16, a: 65536
i: 17, a: 131072
i: 18, a: 262144
i: 19, a: 524288
i: 20, a: 1048576
i: 21, a: 2097152
i: 22, a: 4194304
i: 23, a: 8388608
i: 24, a: 16777216
i: 25, a: 33554432
i: 26, a: 67108864
i: 27, a: 134217728
i: 28, a: 268435456
i: 29, a: 536870912
i: 30, a: 1073741824
i: 31, a: 2147483648
i: 32, a: 4294967296
i: 33, a: 8589934592
i: 34, a: 17179869184
i: 35, a: 34359738368
i: 36, a: 68719476736
i: 37, a: 137438953472
i: 38, a: 274877906944
i: 39, a: 549755813888
i: 40, a: 1099511627776
i: 41, a: 2199023255552
i: 42, a: 4398046511104
i: 43, a: 8796093022208
i: 44, a: 17592186044416
i: 45, a: 35184372088832
i: 46, a: 70368744177664
i: 47, a: 140737488355328
i: 48, a: 281474976710656
i: 49, a: 562949953421312
i: 50, a: 1125899906842624
i: 51, a: 2251799813685248
i: 52, a: 4503599627370496
i: 53, a: 9007199254740992
i: 54, a: 18014398509481984
i: 55, a: 36028797018963968
i: 56, a: 72057594037927936
i: 57, a: 144115188075855872
i: 58, a: 288230376151711744
i: 59, a: 576460752303423488
i: 60, a: 1152921504606846976
i: 61, a: 2305843009213693952
i: 62, a: 4611686018427387904
i: 63, a: 9223372036854775808
i: 64, a: 18446744073709551616
i: 65, a: 36893488147419103232
i: 66, a: 73786976294838206464
i: 67, a: 147573952589676412928
i: 68, a: 295147905179352825856
i: 69, a: 590295810358705651712
i: 70, a: 1180591620717411303424
i: 71, a: 2361183241434822606848
i: 72, a: 4722366482869645213696
i: 73, a: 9444732965739290427392
i: 74, a: 18889465931478580854784
i: 75, a: 37778931862957161709568
i: 76, a: 75557863725914323419136
i: 77, a: 151115727451828646838272
i: 78, a: 302231454903657293676544
i: 79, a: 604462909807314587353088
i: 80, a: 1208925819614629174706176
i: 81, a: 2417851639229258349412352
i: 82, a: 4835703278458516698824704
i: 83, a: 9671406556917033397649408
i: 84, a: 19342813113834066795298816
i: 85, a: 38685626227668133590597632
i: 86, a: 77371252455336267181195264
i: 87, a: 154742504910672534362390528
i: 88, a: 309485009821345068724781056
i: 89, a: 618970019642690137449562112
i: 90, a: 1237940039285380274899124224
i: 91, a: 2475880078570760549798248448
i: 92, a: 4951760157141521099596496896
i: 93, a: 9903520314283042199192993792
i: 94, a: 19807040628566084398385987584
i: 95, a: 39614081257132168796771975168
i: 96, a: 79228162514264337593543950336
i: 97, a: 158456325028528675187087900672
i: 98, a: 316912650057057350374175801344
i: 99, a: 633825300114114700748351602688
i: 100, a: 1267650600228229401496703205376
i: 101, a: 2535301200456458802993406410752
i: 102, a: 5070602400912917605986812821504
i: 103, a: 10141204801825835211973625643008
i: 104, a: 20282409603651670423947251286016
i: 105, a: 40564819207303340847894502572032
i: 106, a: 81129638414606681695789005144064
i: 107, a: 162259276829213363391578010288128
i: 108, a: 324518553658426726783156020576256
i: 109, a: 649037107316853453566312041152512
i: 110, a: 1298074214633706907132624082305024
i: 111, a: 2596148429267413814265248164610048
i: 112, a: 5192296858534827628530496329220096
i: 113, a: 10384593717069655257060992658440192
i: 114, a: 20769187434139310514121985316880384
i: 115, a: 41538374868278621028243970633760768
i: 116, a: 83076749736557242056487941267521536
i: 117, a: 166153499473114484112975882535043072
i: 118, a: 332306998946228968225951765070086144
i: 119, a: 664613997892457936451903530140172288
i: 120, a: 1329227995784915872903807060280344576
i: 121, a: 2658455991569831745807614120560689152
i: 122, a: 5316911983139663491615228241121378304
i: 123, a: 10633823966279326983230456482242756608
i: 124, a: 21267647932558653966460912964485513216
i: 125, a: 42535295865117307932921825928971026432
i: 126, a: 85070591730234615865843651857942052864
i: 127, a: 170141183460469231731687303715884105728
1 -> 0
5 -> 2
16 -> 4
INT_MAX -> 30
INT_MAX/4 -> 28
a: 4294967295, b: 0
a:  192537089900413735618896382779844037368448885533534996765389860834445515363272505285351493949631076320856680449232969045243116791114122184488504700416331499249715533499686121228055224412884867781230292045599595211
b:  -21564536358118547771005198896918972683034871180291740245498871704720734148758451359908237648326316923441572316408502152541731018100192112727857739865189545394423847669132545025008761011270088157419555180975104838027414
g1: 481645893810029003309480014639961092127183291197669
g2: 481645893810029003309480014639961092127183291197669

a:  1538098981298950594672244827601404770516326380956864051641042931388341336602389446607668067103933364196977747747409372840097425792885311595078235033745009293340041002478827105822825898545849184197330315534718796
b:  -2275381037762510000166748506550519028914548620364912969673620355562854912665720770929832568910402309809891191605643240710595223717052704419018832647067382646288780627087206367673159977334974396
g1: 114841997504888645756105216756502432909566612
g2: 114841997504888645756105216756502432909566612

a:  1253847212492230581336336792528209660012023302168485006466188062304379662363593255191166208375405327871574199548466960487817339409446735349916699329722446800559663045367414805
b:  -172881788197173465983526593682211933280960657444968493215654361058431391960606982762878545495898146015574995983125307215687065840818612899894569679981858100961996247344865653046640449433
g1: 1768784569144865952171548448542755053040351
g2: 1768784569144865952171548448542755053040351

a:  48610708969129135529865978441667477960411565778515246209981550623712500743447476476984116400298397752601344955479666687479420233828892052996850121416002989462658406628333858401557602393773319395190867402566507101919046847
b:  10638305270444697659794497767677264455441636247633074611349353750483180102263361753174802848155778826738487263701295402371206066848746613189884973326628088715532944376811115894868954436416807346029225003056025775
g1: 54199500636566414690341951453795022670885894262408334489
g2: 54199500636566414690341951453795022670885894262408334489

a:  1486357962023732301724639042225599914141806859951408049473640569644758495358048183135430121222552590791524519162834820110808831261151759045493152385183524479846105987
b:  7535933492086619219249602235807683071439709993138812833406172822611080116784476976990376993592808441655905165774681851679378135663078244653123825495672897765782625485043024527056153451200058139901982923017015400510893213737041065449193802800921322490671527883363582733050
g1: 641122311089729149771190766185116588427151955245843887
g2: 641122311089729149771190766185116588427151955245843887

a:  1330561954378994700337416927663667697951617515665297271756167209490976822634457605816559608611441870130136710695445461094968102404133983031854440121128248692235833733283888524123163433854173451181839103450
b:  -23969206796227453190658544569514674834380213119381282938417206645946781189476524874358116471682328960531109482130270646477420204013460902998169305448501387028695867247114456867848480398459348175
g1: 11530722660891653824794026974359466801225
g2: 11530722660891653824794026974359466801225

a:  146068776629656627554006150035924069101307658267463622003175259723404627417893530751108774014738139916652886618134884525626917948479473844812804801125385824116698553864397488311932337237510760659242193
b:  170032289401664795522359888769194703227958814881832708998873748182163137015291013909609369712679911977113636360307515219695215842109138080590476825645926173489700916488803270721563411939943221905482331895223355496010376264552403755
g1: 128829427375199421700924764662685297870406129981039
g2: 128829427375199421700924764662685297870406129981039

a:  15066089179005122633735694038495708689636935124297584352667494296653869064124691825687377556107193075181986835223597140903763799327060132263099730838236313256339664268736580526849630969191498680995088563254461075
b:  -298241874392342144708923634741458763097996041645823737378718694541131733965949033418005580347223119105201173620784848516764223989552427653148172563038025101079518361032454840595065
g1: 1750029595962135904167208200650106859976023485645519521586692290205205
g2: 1750029595962135904167208200650106859976023485645519521586692290205205

a:  8867852571152407152097667427030077877384071690372281672330114501213463346396811177107063523556297717102941892740418483903312729950219494916150991545945344616108915910647502681826657911157853051173895089
b:  -68519522226650377407609940012903767782441276735535540450469519612517954142686808917374888078809647018023915363650772765510309267890007995453216540695073154772941815905308518900
g1: 29954034131875213640584320507987046894724941977623631
g2: 29954034131875213640584320507987046894724941977623631

a:  18308325774235594192171047171033080049759553542028815570122570732553176648198798865864311563343324439947159587700754629517284130921737656699827642405627216226803241636290473300376993111072755
b:  -2621081601221439793569932671973719154185905940618934611461881075442814199226448431653444002314029931247459817370843090913426201717618384546104849288414174434946818183515754594059763614291835887671033260270
g1: 60985502315705383216401782774071342509039177835945
g2: 60985502315705383216401782774071342509039177835945

a:  -940062365693946887179666796416402560989130687477386101103062190715937985368612452857262680693290401024392498781265907568122555042986691879497989785672049411893345339911739434972071816439064784209511553004893271277605244491543984489
b:  21282227721853995838981993665508629151414611839459393633373811142938971918958169271246336154359856142053307295633393802370724214505978940978730069900382824297084673144127244445888473912182977
g1: 3925998471792185806017023090004067276103608509980977927560569141252881376381
g2: 3925998471792185806017023090004067276103608509980977927560569141252881376381

a:  -14397848581572536308211814903911123599422484708516719479935451557701535461259353508080033115321200819400930027415310941460180884823391137157701782390370922654766360650013026105087428487602572149021101601777971
b:  492526786700830962959076367557608476448735640235048067633986277990187811972935475421279055982109812825289484768256365368102406035050736416099251807581336301068316749344193971056344418046293952824321428343012189535
g1: 4215106389450235071040553171091231402365867593
g2: 4215106389450235071040553171091231402365867593

a:  -1723662143388224040221622328248153867620637445746115553724561551226127384702794601433455101849790700185148068471115535252769400021823435658320849847448347896369641480978247136556723688957061909241605810991559
b:  138634313227463896935249657436517142145495641369725810097285404144974054497909031814008777687022945266693816490355393852999131357006751559747425173101125792351941400135636420692320443774152576909528774061735676756891151908390708497
g1: 63032945533234891125646325839514779911042417243527881986859071
g2: 63032945533234891125646325839514779911042417243527881986859071

a:  762173367838562032254661762671865189966732536857419108446847611485417380343333981476817408546643591842938884395796679826354817515982628030961560999853303569677289064410683845784733852421954603065588122838600695905308771
b:  -11217518523562341126398683942613181388005814930044154377395405090884205628713619128064440831214720840462550666032618191548645468686860336126087902447557973541834391899692872361479
g1: 3302485655197437718086737491165631876199967118891
g2: 3302485655197437718086737491165631876199967118891

a:  4328959908084352041940125304931244901570785536401428035275179740752644421760072633116267396948840673265657437271254722190050560460061458554140386551619701451648383151837189345473146069935376019509812074052019051043835197796818893385
b:  31041319400975663752283455408250582283969271388532176628712928496546323163927414759386617794590831268530032118979578744450497983209759291885176103564005172325372938436606089525
g1: 12251276631798404207430053414157587661601761459653465
g2: 12251276631798404207430053414157587661601761459653465

a:  -190373872466062598322501226854943987625227492698626174362331905045908410962574406480673449735135910356395184664978971617176594101422343784491968015608616408595930783902582742362362547500165755444165556799476229469606576990235
b:  -250307664192785578657205188764108279833494846731471996671078656266664369807609025947767023825497990124660717736686439033318157265499430585162632245736571665779562322072779196638257053000642533758814452735106162839085312955
g1: 14759324898156164485218808301138534295380694584244141265744036351645085
g2: 14759324898156164485218808301138534295380694584244141265744036351645085

a:  -160387331456893795695109384677015717281485310262844503922833818464870765475545871256748904638120104970108447851265486345549850384791636101462923720960628273523799319667052600839686835107939575574
b:  43447253902608152522465902847941826364062320993538987181177213568747222428508996714170592506077629762325048095987547545939391243900770564141284305618782717034630400486671057184695154333670136981340
g1: 80458283131473926254814023760111495551223612353420166816163805434
g2: 80458283131473926254814023760111495551223612353420166816163805434

a:  1981390276418880103134920292225496017911886470648147864648463827169974284605604956135895021985710916067724864635436222675647628494482905810866087277073238004808549426980632954376305355537
b:  424240047477888725750918641218443920279814729367932592656898092193131830829652469508050215015997031276027150641230069765064839826084744456826734492195160010451845183300290700625434593590496346236794052838969
g1: 137378902480311730819409906972605737920908395487099811
g2: 137378902480311730819409906972605737920908395487099811

a:  80214920679055418652204759056004201276045686858856032508917354246555223591618846196405315992021409351499949880227984488537236469524952676491698988626049583690690187503187769143353544095856437225235214959081832542609180550
b:  22603525798684694550725932154225318833903694602194739672728082987477032398158508146400800256743679499372557076961705847794990825860848852387549282849770396581859098079082327077358182871
g1: 2412782705070209201712866753865052871316327443224258968064541
g2: 2412782705070209201712866753865052871316327443224258968064541

a:  -516841140731560453456436989808174719287002761081037497323045273828005323401683200681440619030542261393805486773324807151948660607039275092997030418588081681649570732645820306440585656367213705320890801823
b:  -3082357016348131773676161169623518645391564198015355953369848974992052239449690010261962740127308341406931972103591051414026382760665083526232213880435998029806775692
g1: 938185237645627016413955777503703043835005879162997604912557
g2: 938185237645627016413955777503703043835005879162997604912557

a:  -1406675219480721847545138229357751474041908526812900284500247995870904423627624588604333922017320581944464798287764692343027851433271657654170052828955855846244997299207
b:  -40096739994129710721735801535402778317630782028419505128713063140125270346235917739179195035088556480972876225150134892645725934868577988495372745735707561422492185167035709626847177332458723499335581989908308162682306127418593843990316389597
g1: 494584268138460031436291120450532753170073392921505214117283
g2: 494584268138460031436291120450532753170073392921505214117283

a:  598306828004192632466901477078643234383568519706621160740550541832565052942774982916853584512449269499403975933091996081109956343004906834001334626378780434459205350867180386390202090264349
b:  -10223294641492265979459094778228899245936463989795687605534045130511974028278057304244904656580507604294150960701674971963436916568007234331199909257047114798813550884373917129649879029958338847526295163125716529048739285277915742104057595051813905
g1: 6275875334589254987418821402081722557592768341551117960554636297
g2: 6275875334589254987418821402081722557592768341551117960554636297

a:  278258528617560961250983543134259765261337888306559398743900174145280919706494605231197200579503202663631532959678295235049381182993505571307390801830607948900514193398421264670622507832919569092420174538774025307306062220456986451771095
b:  -52781207889697787097589754543242340713431075400880985098358471559165767918100275932468825375333841086066489525977346789100980953293163422955992739413532654500366442971561235088740381783787649355297575097313700125490060849095869403836252497
g1: 486968128257905477912027307111338754931661126329848546028223218008489334109
g2: 486968128257905477912027307111338754931661126329848546028223218008489334109

a:  10594807420936167019247646536022758820909082542977661676570447464999020610516420948005336755523055438792751877811265102943601677359516969323398945737791376638858770358671978710850394139221497515111662174912258185827139836266984732176416473
b:  34827473746292335147257887492665654980003984259487775758600923305094566450762576481084285195175934816791075782439464678779531483826155457902053252984491522689094023668492418150343943911472332074186979623831804671714050
g1: 783303515315181681063677945510359878617180129909534929880057707588128960423463
g2: 783303515315181681063677945510359878617180129909534929880057707588128960423463

a:  -286132516966255858054554940013661041667594192367634354646520254596935595722856170498617338467254466704149567480226043423819267718744607176322837450160652563345688451903971327176347098264493177633905622528145619218019766073425732448755569551828
b:  -1034198964835831624027098338171970778103886985296870897605251361529576082309560731940977219202936320698993700274790228984709232042285991656263562054284906068345644529837452065360551
g1: 39160661869498621776053358107670626950787835742781
g2: 39160661869498621776053358107670626950787835742781

a:  8341802231029588966049118612129681135324763367461570564727115106300768582461515668193029626949149235025062781533685148031760138121355952298354823895892530787916782267469070114464100664111664710303928850725
b:  -491497407435399643332735182807634970954151771049437087915571984794683495582370312226007280120955331520069826739257590876973458172548986484087605644268247111345818386825666903606650731715362211651626436509405038314542351294215051541
g1: 2678043714278227809202863281011026277985594444537679100890709889407485064531
g2: 2678043714278227809202863281011026277985594444537679100890709889407485064531

a:  25842684329805760923266321027876925955861973870901780214164512007729771389591671900248891669998259803700699902509141575699238161629778330767885479121426149841381379177607650669582631827693489
b:  4479893221494429738836085912086187858761154412547774926479254855046155495869922063786008064256126758526391357628728709532426348294733965448394318867123219305815646548773084464796856495123891232613
g1: 99137876538871068234462581100648142917642295498731312743
g2: 99137876538871068234462581100648142917642295498731312743

a:  -51941496696919868525906438697019714240615089394151263906796219656512114409958678075961925968779913980852710241635209641794541387885906697656647738474417232111402165390608551011180947336982684175
b:  291715443660972732876932175377347384872825937054880517189076257182490036783752711724729505649336480183965177263791038834153437096253037648550937811669222872242659467484382675013
g1: 3242216115635292157505639155187748693467019164610081771949871
g2: 3242216115635292157505639155187748693467019164610081771949871

a:  -34243253736211046326176872334915291455760603730876182365876432896351275678046024867161939225581954342346561637867465590131986389947227555960636826815039301046814757762
b:  -2164233656402461321558929267011291478222665502637594143732177090210272912391074656466490141163582680566036261488030746691006040807541300085898877403025951581425114810843848211216819213164558683764250451547274503847263990024967694783564827
g1: 48735921808150978975377371385195821842658387810646613639
g2: 48735921808150978975377371385195821842658387810646613639

a:  8201851250710891437903388587034087579308420106610984317187929551935098997631137193639474019959985088964808255179051035597728767475168457
b:  998173056617391344534814108346747524965298538069579867397002284043526952108406348761609887430638918798774933567125050429879017123083662866076083289871
g1: 603843693710191846450987069
g2: 603843693710191846450987069

a:  128485165433954182820108193125386176840571102925218006571876574271058498575137985968754528691991242244329325154501809824256309143645813630384578983417939364545891193298717959603606552085866626684389212961484
b:  -57003441045424623335743346815829265777385592039912899303588962364819304566033383402497363372799791214312677575040850328923962708967723052875285014936830039008149929634152728466518125231036968969447715055731911768323793620661814961912570525
g1: 15862909037414349211047532044114131364605114877036547026921375142965240262402263
g2: 15862909037414349211047532044114131364605114877036547026921375142965240262402263

a:  1829255754107765592965677803843621273686161067121405870694940932489674314524968556833138201526152776575021702479523388395769722119660671853848690248050633007364190804844655
b:  28025859238977558612119543040316679205075842766303613738322005560560342273408651382537849733048367249825671709886815842033489132916343904225741886655048780279557560528023648663235655829982351495189408740895311817939766091
g1: 157496744504947162198260635881662321075956937808653264643
g2: 157496744504947162198260635881662321075956937808653264643

a:  133238382087742354798077253313746041559321331859504843707877119964413357943099109940706201194312804618979489169043975697323329788207759070257165147630403016424446161115599084929722484928233099015429981526105958860917037609849288594967370870832744317180603275
b:  16706914570274717238611921246420962222574930577023689818690280264817514411288019562348298388304301452707538531218911261404114507374336771734466443143896124016314048189967536718546064712682964368526639799
g1: 128083903424955976219169290918685155159403134258477253789
g2: 128083903424955976219169290918685155159403134258477253789

a:  -2262632261600352720166373193947796361993189211245167777160432438301328570638640809472748409866295349925394550678671850440348512462513569112403098939173235904606620606139400112450843303694291
b:  -471782813160569064078442620122037093985353572794489073577239621309413659668823980423955435489182911735152537192717802808245846167103844215628669828667730938932434049811478844608109432752573737004370930460752764206196613916844557721074950970736872936203005453036711301803412021189037385
g1: 1640138560995654782649804835659356739806079083605663565854605649078744561
g2: 1640138560995654782649804835659356739806079083605663565854605649078744561

a:  49759052302147932354512520031708136627176994888907912786442919537002016217222446451689800237117835429738587533458621442483503282535492881468521775141501822007699
b:  319482878398746699597578009277782073135032138543437080473852696058919598169766664511032315518838719559329238061715774634382701654730363386944072411756791360923479541622396969259714264807387
g1: 60709270238616276997579336183692137613872192671
g2: 60709270238616276997579336183692137613872192671

a:  -1919446594627594865148440845833478326199633160710147973916918258935614131391361035777296651243976542251826136368698146023229797106237608788692768214117
b:  6232845863895015705753474544958690983077418424597900263642002274393748775359293795771458835018726426748474161214906335591167334044022707810781124937345727944078847052876378169137794818554449730299491385230935251
g1: 551999424139305456840856100197
g2: 551999424139305456840856100197

a:  -264030872541363398782065069391292660074385484217414930360648493450773367885128137333665769348430739280836352714895843490030069804530289607729133142336602877945417253428328729755996147787
b:  -446274488911187725436365124751840579176168895601952905697962258844811969684911599995754838614495895902419861463296706619427096566325819538742134019447330350616342984934899868041452608693249525274558002938577894465530705837966013
g1: 171076147352556980172889429762622543272840083033326167419525747068949
g2: 171076147352556980172889429762622543272840083033326167419525747068949

a:  -3823451658280862360062196745196182543518669695379915405797431515769052831122274303556205418037165787365179507002730212303942205089786404278587561870281460496281761073793197868701231242586093050996460983186930662400782969714223827
b:  2370080066605521771555388658289476773752271263923368991058696290054547305197246463222492878675069213834314132348984562959564548024836339114788428727020045133960697511064820887835815600713514860461431056722738961526900
g1: 142534476854321798791200932337667503980285745303021843856406655223571940392291880881
g2: 142534476854321798791200932337667503980285745303021843856406655223571940392291880881

a:  4522342625844136703112791967446147420035398010846508090461552925213950341295975354109458199928070681673304385814297076164814105821336468632917396119259554251306981598414544954
b:  -5474173099181330985736588837000442872939749785531698993059666302987342974437798593492282872404807211946125396256620232724562272264129149063636044072146672622259761007668894777945399536593876290702149803069772861428308810673340
g1: 1590209244832563478096325074375809553107881730877898359242
g2: 1590209244832563478096325074375809553107881730877898359242

a:  544205227577925764165937847036495789994107709385146602845086421872186125873077003597856216342638863192534106875766863253103497705078215905307842442798333258321297444718
b:  7779436737143110206015197549231410720411654402879294636567415989401336746874551011361996723871134704676775480405630594245309337838075968504620542209832680625637843525983281982438700529632994777305020384080508080370734628627981604075
g1: 17510748316736964749267314896168991486417878304380012894908524681
g2: 17510748316736964749267314896168991486417878304380012894908524681

a:  -137907763595979782149601341227009212006411457950016584111550811288243632570261830505465322137447546845006564533969296211477158385888900526411883908697370393753240087436871114639054806955481372078581434174462721534360346825
b:  2012262482682734657131204573573488412504324303347083535520153455935800232153504248555612054232689704486480959966270976233388646305307577645351442262550618428294843077051286954520034311582114974
g1: 7598660276378171437007070338237537194999571991522967
g2: 7598660276378171437007070338237537194999571991522967

a:  -70450950446314901885433486574333012789670118330661516916475406705612139253283609674134190995256890477649032837910967347925412518569531365499249082612364479794082736838763100915691754305044821705156
b:  45498695206912920541643186068978829524140810086037775130134052603021301621409368916424848369302505328984584693846633747790690688997536868424315485076228060303852608836
g1: 677906090281577701685750283069009872972
g2: 677906090281577701685750283069009872972

a:  -1703314134184941726346708617933897283816935770023116767599736565212948017678853852347875888239925049638092469629450366583571622360592593480812482311587723546219339271860323726442378067258628472897945107505666760529
b:  -43409542559077055016678782677689443102901703834070465265221915533926970272496405582061291318061215682328880352535679102985283024130246893018953392789076638322444424355880033010824787200225758475761598710894130324717571961635119695325
g1: 453721075382828001021541885350368492247981747
g2: 453721075382828001021541885350368492247981747

a:  5265544757164973644425762267574511411102300107541841350761480679192917081852101456042521434836374293580692979404359221706876045500330526016137260790833423133704027723845001103
b:  13397081910232903535072222704406773222518543699405080256564884896486703615927999737603770353734586458239946411381079346715697175009736921817515163372074610460705965735987646702677450
g1: 4538630180153202592881228815836757
g2: 4538630180153202592881228815836757

a:  2433246724506106691538672721341761848267612304477046826088003081467511798424193061982230244508462322248806011473051174912331398126500500979903370566921393123916017793197904666758934925577937445281692873529337342534348740531
b:  28161064079802833509708906745509775610589902093297412613946042902220466432433719326570377752864832525763752545088563716788690051163731541680808157935653950759326576464525867585518428015844572835850022591449964030433664847067251350
g1: 34528860283611853162623618781551673891426332955045475990217619708099410653003629253263
g2: 34528860283611853162623618781551673891426332955045475990217619708099410653003629253263

a:  42316359593547779179351093682377672904482658035650345484238370957770566488962174539126982675583463501912755298596207440957024559122874445155887970140619882055558939384125938131665956269285853944679
b:  44566311262913920849353841594134378010043727329008784258192715606549376093023205230476462532945592167919240040170000814814681268818350168513258061689904549312629887991364505710526499356762
g1: 18248989786793557523474646656506389405909330889
g2: 18248989786793557523474646656506389405909330889

a:  57045032115838475125184876992378709110050537634948679339849182608978695485150099939767414602613080604325242171488588028837576319124119871990758086041796306087149432847391827534949579513451171826153030830801403326
b:  -2343924125950028972493552218139402118300215632796494845014784779097606140117410486471693814564774636585968159956259186104587058024512916908183980540764414020097541182587525486166021087690636680327063051640385418299179
g1: 188241281319657070218889485656660500765733530463563681187415774230423209
g2: 188241281319657070218889485656660500765733530463563681187415774230423209

a:  -25373071271165813790791060346195131791206954700193932093732420412231240357322619446560242997236602776000160218341596607183794974257834285096531531357489400501985380261227116875771603880876638118678281106318561096914698614382217190079435267
b:  -9709757339029486033885923094894534884589083233150396262253177969543165142380194790693271285488338122563010440236437336731549277780229051549765940443775904929446641177960619228382101
g1: 42956381315242981256150232539324530750772503067971699649029
g2: 42956381315242981256150232539324530750772503067971699649029

a:  23953806378254511891432799695960580687339332501833842073274682153854159981775303801740025811763725303899222607980273575832964453376292216432500221069876895675594501292495043623833788070696717918609306970
b:  222219189431757972323160636901517059569804822330116065903020662181208738657610193719435909053977490805627173239160503181357214355808450468601744926774180210384863406935438884952554300520246559000501564979
g1: 12609713014048327883493055617387159510325256140499871337
g2: 12609713014048327883493055617387159510325256140499871337

a:  9861200582403957938553493666721358560626718608418779574895954714422024345391205728317213232621009637734498638806430600569244894695395455318997439744200404561471419311490428782915286047379659086854625649582052435621
b:  -4504689906002261747282880594602823078584409389991968142048339106217635290851686084224475464199140669576923804787526687671489429808076526708305623320560155005129907519841563206348775194342543105566610794732087
g1: 1188703312085260826040914996582777106158422366439
g2: 1188703312085260826040914996582777106158422366439

g: 2147483648
213^{1/5}: 3
-213^{1/5}: -2
log2(0): 0
log2(1): 0
log2(2): 1
log2(3): 1
log2(4): 2
log2(5): 2
log2(6): 2
log2(7): 2
log2(8): 3
log2(9): 3
log2(10): 3
log2(11): 3
log2(12): 3
log2(13): 3
log2(14): 3
log2(15): 3
log2(16): 4
log2(17): 4
log2(18): 4
log2(19): 4
log2(20): 4
log2(21): 4
log2(22): 4
log2(23): 4
log2(24): 4
log2(25): 4
log2(26): 4
log2(27): 4
log2(28): 4
log2(29): 4
log2(30): 4
log2(31): 4
log2(32): 5
log2(33): 5
log2(34): 5
log2(35): 5
log2(36): 5
log2(37): 5
log2(38): 5
log2(39): 5
log2(40): 5
log2(41): 5
log2(42): 5
log2(43): 5
log2(44): 5
log2(45): 5
log2(46): 5
log2(47): 5
log2(48): 5
log2(49): 5
log2(50): 5
log2(51): 5
log2(52): 5
log2(53): 5
log2(54): 5
log2(55): 5
log2(56): 5
log2(57): 5
log2(58): 5
log2(59): 5
log2(60): 5
log2(61): 5
log2(62): 5
log2(63): 5
log2(64): 6
a: 1000231
b: 102928187172727273
b: 102951963583964173000063
r: 18446744075857035263
expected: 18446744075857035263
4294967295 4294967295
1002034040050606089383838288182
1002034040050606089383838288182
*-2 = 
-2004068080101212178767676576364
v2:
4294967296
v2*v2:
18446744073709551616
v2:
4294967296
v2*v2:
18446744073709551616
v2: 115792089237316195423570985008687907853269984665640564039457584007913129639936
PASS
(test mpz :time 0.34 :before-memory 1464.86 :after-memory 1464.86)
i: 0, a: 1
i: 1, a: 2
i: 2, a: 4
i: 3, a: 8
i: 4, a: 16
i: 5, a: 32
i: 6, a: 64
i: 7, a: 128
i: 8, a: 256
i: 9, a: 512
i: 10, a: 1024
i: 11, a: 2048
i: 12, a: 4096
i: 13, a: 8192
i: 14, a: 16384
i: 15, a: 32768
i: 16, a: 65536
i: 17, a: 131072
i: 18, a: 262144
i: 19, a: 524288
i: 20, a: 1048576
i: 21, a: 2097152
i: 22, a: 4194304
i: 23, a: 8388608
i: 24, a: 16777216
i: 25, a: 33554432
i: 26, a: 67108864
i: 27, a: 134217728
i: 28, a: 268435456
i: 29, a: 536870912
i: 30, a: 1073741824
i: 31, a: 2147483648
i: 32, a: 4294967296
i: 33, a: 8589934592
i: 34, a: 17179869184
i: 35, a: 34359738368
i: 36, a: 68719476736
i: 37, a: 137438953472
i: 38, a: 274877906944
i: 39, a: 549755813888
i: 40, a: 1099511627776
i: 41, a: 2199023255552
i: 42, a: 4398046511104
i: 43, a: 8796093022208
i: 44, a: 17592186044416
i: 45, a: 35184372088832
i: 46, a: 70368744177664
i: 47, a: 140737488355328
i: 48, a: 281474976710656
i: 49, a: 562949953421312
i: 50, a: 1125899906842624
i: 51, a: 2251799813685248
i: 52, a: 4503599627370496
i: 53, a: 9007199254740992
i: 54, a: 18014398509481984
i: 55, a: 36028797018963968
i: 56, a: 72057594037927936
i: 57, a: 144115188075855872
i: 58, a: 288230376151711744
i: 59, a: 576460752303423488
i: 60, a: 1152921504606846976
i: 61, a: 2305843009213693952
i: 62, a: 4611686018427387904
i: 63, a: 9223372036854775808
i: 64, a: 18446744073709551616
i: 65, a: 36893488147419103232
i: 66, a: 73786976294838206464
i: 67, a: 147573952589676412928
i: 68, a: 295147905179352825856
i: 69, a: 590295810358705651712
i: 70, a: 1180591620717411303424
i: 71, a: 2361183241434822606848
i: 72, a: 4722366482869645213696
i: 73, a: 9444732965739290427392
i: 74, a: 18889465931478580854784
i: 75, a: 37778931862957161709568
i: 76, a: 75557863725914323419136
i: 77, a: 151115727451828646838272
i: 78, a: 302231454903657293676544
i: 79, a: 604462909807314587353088
i: 80, a: 1208925819614629174706176
i: 81, a: 2417851639229258349412352
i: 82, a: 4835703278458516698824704
i: 83, a: 9671406556917033397649408
i: 84, a: 19342813113834066795298816
i: 85, a: 38685626227668133590597632
i: 86, a: 77371252455336267181195264
i: 87, a: 154742504910672534362390528
i: 88, a: 309485009821345068724781056
i: 89, a: 618970019642690137449562112
i: 90, a: 1237940039285380274899124224
i: 91, a: 2475880078570760549798248448
i: 92, a: 4951760157141521099596496896
i: 93, a: 9903520314283042199192993792
i: 94, a: 19807040628566084398385987584
i: 95, a: 39614081257132168796771975168
i: 96, a: 79228162514264337593543950336
i: 97, a: 158456325028528675187087900672
i: 98, a: 316912650057057350374175801344
i: 99, a: 633825300114114700748351602688
i: 100, a: 1267650600228229401496703205376
i: 101, a: 2535301200456458802993406410752
i: 102, a: 5070602400912917605986812821504
i: 103, a: 10141204801825835211973625643008
i: 104, a: 20282409603651670423947251286016
i: 105, a: 40564819207303340847894502572032
i: 106, a: 81129638414606681695789005144064
i: 107, a: 162259276829213363391578010288128
i: 108, a: 324518553658426726783156020576256
i: 109, a: 649037107316853453566312041152512
i: 110, a: 1298074214633706907132624082305024
i: 111, a: 2596148429267413814265248164610048
i: 112, a: 5192296858534827628530496329220096
i: 113, a: 10384593717069655257060992658440192
i: 114, a: 20769187434139310514121985316880384
i: 115, a: 41538374868278621028243970633760768
i: 116, a: 83076749736557242056487941267521536
i: 117, a: 166153499473114484112975882535043072
i: 118, a: 332306998946228968225951765070086144
i: 119, a: 664613997892457936451903530140172288
i: 120, a: 1329227995784915872903807060280344576
i: 121, a: 2658455991569831745807614120560689152
i: 122, a: 5316911983139663491615228241121378304
i: 123, a: 10633823966279326983230456482242756608
i: 124, a: 21267647932558653966460912964485513216
i: 125, a: 42535295865117307932921825928971026432
i: 126, a: 85070591730234615865843651857942052864
i: 127, a: 170141183460469231731687303715884105728
1 -> 0
5 -> 2
16 -> 4
INT_MAX -> 30
INT_MAX/4 -> 28
a: 4294967295, b: 0
a:  -5485049568290005918748359631842479912149716651587734239873229153333341464055915316522260461633398507473697163720576998961714994313716294258822351247778592787338388393230791482409890569624370716759208188881077076506
b:  7004289353018136583965156842646351493250496390911496196464837109932397363367141172662830290966172173512805784626022276788993504250602490778758146113462968552360677072369838908058836691680326967263557723907633161399409556510415758954071320517425
g1: 327135886491206866069973710553030463407955338356605178707974211274869254083
g2: 327135886491206866069973710553030463407955338356605178707974211274869254083

a:  -107513356818366656991780599039039196347526861943726935658315401749780501256199165306135979175788565501952635949487606734263718169671558406450116443689354980403868010794352789044190101522369793213430483255065375993912212857826518916899950
b:  -657033314712202867420223266369524464336837569233918587828006469198535761385792162188725691541377779327101707925650706682751521299343912327074874353534113744989439447246114746960419936592644861973022846076247848599666702749436798
g1: 155166873233652670205963667767459550014825372393193775871984422
g2: 155166873233652670205963667767459550014825372393193775871984422

a:  2613820222330808418556806364772313716017618446197216775322124048468157713826585658364925605652501676789982227029641039104965693009572566351656392074941627996031586513381710434610418188585869246962169
b:  -1680586667346342656842321355874666923937452807452332691246224381567387473115097098422855721138215222179563047512978734085258521497854081049275677466122410882445630321783307416397097590927452496320316061699873272929
g1: 1149524490267633299387537602502367144677189846909683779
g2: 1149524490267633299387537602502367144677189846909683779

a:  22834661918126018659330108029656890466609532253644653725852159588855262534532641450179281207225046937633358905594026131675766793039769893984005397536635789964351045548923623020408353092738300293575
b:  517872317997909905700015327080235540329360563484800208448682071942670089260174381188718002172886051194590346261702067576652321314565358780531379599270795533
g1: 428568110306897550326211793892441630769499154678841827645046949
g2: 428568110306897550326211793892441630769499154678841827645046949

a:  -141416019872478912294670282005311091295866673910644193554386250458778339753457713020347123737629778105664546664503573197451333268694743530517104103910319578505368549850524095229161468178252761293498417688850
b:  -19566308815419535868842970675372789724934238149082914368073921035950801158786371999130246756024369399828419208580802635781141041417150598754334453871026564644607312427284345834363558434868126967899368386100297284861
g1: 2577240451618052447189944847750564828236237
g2: 2577240451618052447189944847750564828236237

a:  12776511762927111039970762349757817820712984053627820850524293247317745278130362017126956864207626071907870410457300806435609654359996719017486491101385137040682854051482131721928453113785639097
b:  431526842720071463581737442561196456190084064264364746766920620404662842873443759911852185576098492944397139323701369792459738072605788813402347099817767492615624084227493188081635342263516311397794332758804334737745867573
g1: 617651916011525211821958431832406088567848747400161292588356381
g2: 617651916011525211821958431832406088567848747400161292588356381

a:  -43235271449374911940263962589317520123514517821663467399060149502926456547165831483879708785648337636596575950983697324530030475709785777295599664759851635417672873452187117902494088415383803389563103090572175
b:  13212479226175628423837987531625569959458513476620197630023857065769609494220225994117801290440270526386472950088516867793346351840841361237148361578580388912009967540195692199748023709785634251619201985389592631300
g1: 455273682484334933832288842331150058953833526341471020991866110135865003598725
g2: 455273682484334933832288842331150058953833526341471020991866110135865003598725

a:  1406202401758586188053315483299009702230732854404930370604641758594942498031599341057333074803147731585463715195850119039978955558547862262196936790285819586563016826417075525958596786428398381
b:  -2896372844218316697097699869546957712487883468887776560355527684286522207372375641873872621513374186377671315673846923136650196216373629245121370002183844723492938186044811981865430367546035360361446693450439572
g1: 162266520021464015649064914774528547779978169
g2: 162266520021464015649064914774528547779978169

a:  -33196596983884830956056911733253245591362609396744880684725698545223277091998869343839401393876010656332653806162372592151238047575990769550125412461140833782645927318572330998029335618651121306783038917324724865367721418875393383893716433089391349173193
b:  -3235641191066027343319192327421200758920893339145069348336044766897402249236287692405110150239621690175307190191902626854286838996983764605501458912157276051073772202517723374337775808431182703407234657191042145
g1: 174635815777629037847480551484400218476552916704093055272132842272517431
g2: 174635815777629037847480551484400218476552916704093055272132842272517431

a:  -44980536828351052063639368569193625577580717855636029907354216242981913521872785150543163686981382303611518701802005289828741060912712347899111131603080571936095300895941285413190065963251946109399188522451313861872131017337292384506569639790
b:  -9821472062487915036288357684004983918863353916377396615928241068700088100066117930779632051937103625930834196481212327966375667635496357327831254233212338307321769359563299754783134578011195954412602041056754592989145029527726103030475
g1: 85814925541153838189786124617215665478816188023427079224957985
g2: 85814925541153838189786124617215665478816188023427079224957985

a:  -1649176688353060326678366101136826095244564297402218692938965325540102829653041593523643943510289472544512686804792904131502266661399263329451768135468569394101065875514127420232836626366891139187358860835369813795872027470
b:  -221978697039535750326077384313571765748534143083517691936197097873060861640518813998226195689990603279617861226839462998355180423726610530496750419127783539248645515892966498244174497556605
g1: 7190407558423556540337058556822226181989015085
g2: 7190407558423556540337058556822226181989015085

a:  -941160274444717937839653961859020293830115060246763724778682380316443576364393600211434019314815799485991376142588828081690527813851252413346687760157819617807801261026067990930635064109235504890354901478148842419309749181756340914801276995384324075
b:  7727260149540393067431273111106121755526987376511910050276531742709321083038842298877501238640520222461426020913584354592981098860535964137382797512629854503666272473294257112148501085989029277098854530877
g1: 16513293499025745617664217388885744149911977572150171595952205305018584117
g2: 16513293499025745617664217388885744149911977572150171595952205305018584117

a:  8609596328615249879641236193709015267153761315478640642075415620689807124694579830283189548121989856947595186401854920135403527360610844813512567270992492637618274686989
b:  541401547718221396188370543495535450038478236322810421833483408830376636702148733113787946114812994218528148516590186688405108842794055500928441093371919832272997989457414497002458825
g1: 159654757823513345613378401
g2: 159654757823513345613378401

a:  174849749145777749313493232785029706248124717993374099440059782905498974405408725456616167154426381334290372370739115168760758754621103086951305110742354300161144804054771570111851007733145914416446364232216826472059901593965160163663916545597958162141401907
b:  -3616583803342052235494118840856431593376130971076306745298828034224082197165177486972270527414046639032509290659724891825177776763391534605972255942243237077145657212589539358536553715616440940089569970957217155498163017237
g1: 39677032396239192703050399454630692596732465580201949552201349802665694709565955949
g2: 39677032396239192703050399454630692596732465580201949552201349802665694709565955949

a:  -6046358118568394465976853748242838929540025705058064620079715872698059934955024698541589410985491001125563252009499467958547499341562331831176568921328912711254230273350544052701801980500363629968711475
b:  -462263959802892759327010981272462537722744816541276792102880686573704142437553995903122950231795464843446058156503140381309433663390822404147283611521784826633240342552261201395786916705987129323207485
g1: 311817281826319836373320654260307721980245
g2: 311817281826319836373320654260307721980245

a:  73354373622699958401658970194704727419382831008809214994140369507458433110940886878947234159882781784620195135642855713923780052006882853906476545151907595465560874472439771334258747
b:  -763849321331940178292478990517987929726482684448885188434741382991774793676492468890831722997438210693696728914310890850097354746482306840744711201890104690294138265005807732613881720290141565034488767424000391351
g1: 2367444135150900184038845423631891654933583593358849
g2: 2367444135150900184038845423631891654933583593358849

a:  -1030135795617041833488774107521881318296236355509715713991486845775148841272767069050182436917348303690928429676742745533173565720576023509441277997220772690043059863173812573603903821560546140540894465454845304720507214674374595
b:  -1250353945670601297650458474008751864289730661453507479973127364928841795934791860521222914398359814200847485477180610094180358899611670783315241577539565552767794906201044051650266378548182145312513042264796233594150
g1: 100784554713069767890760529588000988852378156747252667971977385
g2: 100784554713069767890760529588000988852378156747252667971977385

a:  2487489783186900179797199837678339793780898406143367162509360005897288467547724862475452292734959703488004763429019940833263713938745933083574380507903096058280287690922139899098325230665699377782158520969919525
b:  690723581102111124361330067699337722614282951869825995711894389871938939422344870679315874206193375308719862076582804518069301554497709208703013096320325593358997918324360737318168689703963661462318364556903851888693125687587168659722622365316751504225
g1: 148111337074702368373400931869467804518662291288726637434181225
g2: 148111337074702368373400931869467804518662291288726637434181225

a:  -151126344490345267319903691555579045122778567935950202516686676765745565750953217715200176569231123600540384899104784884523296203373757284237237147488238997786246
b:  238426290143684600272750623911485309084852287115166636862201056298616033288532363237586911491524147019759630119072662619439129369839217628586797668322308
g1: 2083636742218634182630373781635867546
g2: 2083636742218634182630373781635867546

a:  -953142223115632019899791855918926579531372739346848410657274149384535880080569954193474802280612693714010545414087413701650693428312328054174962851948700478042715572456744046396992625644059840923129024546790939
b:  -867981907714638113708957976661692452868602756865406288559688204197772367855878366443005705704617403776793792034802015269217865918529304533149862554893918487766688847272276010553826488206039968418857670949948046054894
g1: 944611306017905046861445345004686907695361408278691
g2: 944611306017905046861445345004686907695361408278691

a:  99503097307189066011090866274176616963283329346488396789970315155191377061134497404510705809746263573681758807558221908099496346120900190392353602495429277612569651872947606218449133233111341254236903922917016186968796
b:  -1064060410801510711741732050232460775265728527421143268721283384174031414785809556980088571902992865489728856015919183658356844456784507191027225174977701196490252344838756976308298267
g1: 176722746105916367673427059556755246321808096435260173383
g2: 176722746105916367673427059556755246321808096435260173383

a:  327447382348972003073701788027130974962805509648757944340981781028214160261940403576375287299284831391522810893306904450205908341282204755110098998458020614905308130544568586034880405801301278083356491021524
b:  -42416879099751649408473297085030256679973881221697160082300310770454982037958218220966084492488974267196449630721203937223600796256305409031237710779010585378398246914685732561291190429745251657541404606831063661586808414
g1: 6392777584722367873279107953436494301348195422457314335847978
g2: 6392777584722367873279107953436494301348195422457314335847978

a:  12031647251355810853313316419803880476200508806507369702895988532374628670939840177293491148411002898683417425208744366884724318465755281932391616531942831878214968538225187585614519149251975530263191575985807044
b:  -102986224989119223047113123015496576643673309082743565184659295770638437408674404363978392696739886747776610207783363790301248807281192721383886666111120942296491897736512976157230854185186806638763835492135539740381
g1: 31047096395155844329016289629774293380954306658121649102181236433
g2: 31047096395155844329016289629774293380954306658121649102181236433

a:  16804911282238151769195627632555815690043510948075701117153281694069623569266376999371310140222137067442660660229343269275982989283022550240173777772174502916354603399700652829620643282050
b:  -1477934214940891357345036486462075298339347999746490319917942943712461962506847372715813735815074412222431578275681536863142264548014627515171753712145749246982521947471820542110279783251665492521941256646847939063908462649692
g1: 9671249961542715130124351565530714270035332222
g2: 9671249961542715130124351565530714270035332222

a:  3502272102286995973966219558603186853272406961242721599617032907280866955667400080845814343691865284651573736826097594941167968085454444052362306787927724431368508195016861201375513
b:  8774470517922747914277786245053653923725712761305400880235844013562902683990351274588323612546020632811376489208467663731502092538129088012363195894452300435909282404360395864451906284107643409368528775
g1: 28908250687787275235873496805271313
g2: 28908250687787275235873496805271313

a:  -33053331974545217279021660423369547355740427434677211071430515056135900272175142045224528581144954306811216029406551487671077288976305742297569745174464295768902652130761921665652522387986162883802877747212522645838035883815
b:  -59401122197777370241666320023582595690797511207651461278664759070842141105576648747424644533637137153648636550822267673482778285611633870909561613936953571351780619770258705881302529493357066870985914527487789210203689361970931774762807
g1: 10487234819894828114758306862512520270834238408322237373274997636723
g2: 10487234819894828114758306862512520270834238408322237373274997636723

a:  -124056127509225862542509363704010938065224769680293605359020752987171325838803366544054170493427087705089430789825830644437346272886129001738279700539873175131515271083645675463698320475282463234592479742329889660996801652190079
b:  2420266602909620129168403619900389693555711099716756223347729032997464035197129783717190760232514172683851659944491058589752581565088507521758638967220326337844089899311946447165289560715787332693385337226198391977044045244834288354438
g1: 14308605038480114828669309152232901865605751180224408737279134897091161239
g2: 14308605038480114828669309152232901865605751180224408737279134897091161239

a:  15031225547512296199945691322675646822999355771527528141603962403715098292092524681945818123166450941968516750154592318424201166328596870402597780183904408721308641275138282016114222045767468794794836917739862741344054402450713460103653998219
b:  -1298715142709093709080961868757894195964962526700065910762480437102847177910650431522473788452035721541679500817358614459815383382143166720196446922135252007852751042382371532003921373633970331863521507186414280730831434303243799171731
g1: 132461704092022053199090875452802300091013589425397181043
g2: 132461704092022053199090875452802300091013589425397181043

a:  81609764036652856948768790622320255539996434489172610605251088620743582676236914962410102116569022324393811124983259363488848591634423497637166360553638198578010031324258846923505819853171123120669461888575304935
b:  -231265828850980314263388833501224545520606157134246374857574905859277074396435052963473477602030565930659377633501985867024898054696534914170862955026155017839444880447373360175
g1: 1450817565830170517419734282738410367284147100001705
g2: 1450817565830170517419734282738410367284147100001705

a:  -5798553233810918461713121444032697965763910274158410274885847403186635039125125424904982676402642219364215877517617219685682657731531639613421159757994884773889452265995562481668304382525949601869
b:  925474751239130640502043703934465405167262318096222448813714707267460182092764097280938144193536900009094232936287285268470593153932532827219167311309049343370751353661158965091355133363252560077799742889079478827919581707181745788924984603651552793595
g1: 11214676110954155816029168805162814867386797212491685211473511
g2: 11214676110954155816029168805162814867386797212491685211473511

a:  -19548223829445418363047753492174961968897663726137256941046810691430235673716666665927367438224273592220327373427535492625729328334979942896677226728253019990234541597848116441224087606622925
b:  -44080933648618861971189823561009633917882064547074428706919407191454093250890673534090593115919167081691836400467741436382160183333587701343509871833658865429325680870077009948000392213
g1: 146940635341558489830912996135544614547446391523604141343609759
g2: 146940635341558489830912996135544614547446391523604141343609759

a:  130886644459079323982111969568482669295559474053048766359799856509430075605586641907631702198307817598702221328188734188674136321752953874918725501490466642789121094692996879518
b:  -2139843587197956804095755436110861333503074554623480606185940753896923877226593750424143339470946117177562562598118158437482963893937630579206731244245688581148576970991682017497673548549230452
g1: 399784398122346631985323136699042453511088163690818
g2: 399784398122346631985323136699042453511088163690818

a:  -2795289489024581079408816678534663499018176665104864596169290195554929755350559121527973097592480227770416653176651945813716023849660826758512633407043972372772321440047447122089753616396734949465573551119941108475637066010589283389
b:  23790112905516736349609263835666404901963028405965800747172466070362236405661001326633556780816073890803641952397722498132532594377752592849800335808030884590343079736739961601739112755405194822023
g1: 919742864910647565622201543426793261100812978710407568301273648623
g2: 919742864910647565622201543426793261100812978710407568301273648623

a:  -108636636494836099646822000091325271594675332739954602120537749101749885497791926848982405258296296922400146687887162246547363475347383457310328793039555222936035090895998872785709577653310459376196213134405316444242
b:  654917292338992117244721437901660429709432859830097511145431824944311258921920603319882986335383040621031861275352955476341414693079893508599109528191844876199194472009662988637879583981346360389707533502605292440048301674345845312211256181387190786
g1: 88802663557923999536968113351170726521223623261369396167521607036078378
g2: 88802663557923999536968113351170726521223623261369396167521607036078378

a:  5798037087888140746364399213532560825868366496169030042164245094733972283358931366704293962974654249185466031681166266065057597814188690860635793927897852084350608146378838952461759597915516852116571792682110376221699527866583455
b:  42473059280908939096208984044127096637518684793325677078320423950551736461031880355772803494864383605090411267796567898521111985146588258574121651700994793985199196038348720487528642667511
g1: 32932096469598229637475521182162528133506230417545852891
g2: 32932096469598229637475521182162528133506230417545852891

a:  -433916901393445955544216911920757153542020754519495103036063852727305887925009830952867556312835312072067135392961364339169056071843454938552153331076100573901399128884267
b:  -19420620025123246037974393904082444854323047476527413845176215432380993876670818915702949859983565470580193813422175858523976729524923890741874565781486015152699873956109117540203987487374837133674026579776327361843
g1: 2577160299462166345068679332191749158248565707783637521
g2: 2577160299462166345068679332191749158248565707783637521

a:  143799287507062326456124239060575379934919042091332852905645947711454336985906292243645817899641508803179302107879349290941470685584477285147042958374677199577636598961640788149025281
b:  330564849327703919488411723185334411800815670524456714436760981722688206541651723286345753571594658048533479487779645695500932030098807927046699570374897417943669056156151913333994319827687200246728906400029350297464625410032057931909
g1: 26282493838615656360255939133970831223478695954071992867908866057
g2: 26282493838615656360255939133970831223478695954071992867908866057

a:  -57719877327295028082308902914327140305933279414149277029182863241845769585897152795757975647028343710280338506245474131823485812947910630246069580340057949481604329753756373236
b:  16954632002135334135327529703035892288304543647899016974495506442954702321712445942536768127068667296434107882282827253471667661525691298329040894087393556832817264604582273553423461238734892954452495590588562726513689773893679
g1: 1525600986683164422895942057497416879567848069
g2: 1525600986683164422895942057497416879567848069

a:  -843536565896199495840665797456535704022750645317329140390992888832207277549495861338785782575381541863481830610550602110159304645779694848514807294100335139840102961348365640399011620406770275968381681211649525641
b:  142551644280013500302312658113380804185887029180433538868838461668415766124290467861988349827420667837781541173550028785819928361819449311356447083755352231193802366127756700201091784845957817425
g1: 2234015771650180443950316244067350125129727779262141081205799007362653
g2: 2234015771650180443950316244067350125129727779262141081205799007362653

a:  -6648466557595276466489673516361367327983405026351392264312936514989041606026875942213003549901541219116195295008194668973001237860134252458301707944780146824155271081919206406791665984382859726442542254
b:  -4324163760756056006057612479532824953581235950081462575714848046559452235292470019050081891288524078746480124687723102379431752911933602952677318534341861547939830240088995804081253104380356623376852605421209214889900110625232095722907
g1: 909885326185101946845581868613091688954809861356207
g2: 909885326185101946845581868613091688954809861356207

a:  3030978272694623498086889742280657732656003438747539537381272274356335714232255395059906667356447199203536247077732958098325730567902941858380437344703896951570774416736953000856578693804021776653154240184896526153320185059383030986890413854404
b:  156103076762870125497864905519495324763489599893004740770471943677401140927954699610649413383341518326552835226727976080055895624016461358799113191884837305069339432479741429264506541918558958637791
g1: 4495188840328107873990013870803689423246334371193420075596788451
g2: 4495188840328107873990013870803689423246334371193420075596788451

a:  -27288328278118860377726306980108038151130988490089724155142257741161236955104305964227772012290363884924938179171993199770899375123744880286216789302999138470510988932226869129114611923390284358
b:  -699584965285654269188344910078039572906963312364909474052104291737849582913239183856958597936578054630953746186078107821429907456800934367723667384993805739443893663540225608876847870901238266729631208541
g1: 531422441119873901043418074254398873027
g2: 531422441119873901043418074254398873027

a:  -21773125788378970382314299348314595094752161240290902316495097074940374370903689857217067570706897213177350608467896889411013198324410888088018284183686380693620228004462446400634099464748998677753521691183487
b:  -16734890861950847980919062055735730540959374038326205046902465929289340287275698742091816090250024866122405728098522966806410469306559057300766586355050836563194505179413048805941
g1: 400886702623515433450441638743032326304758011989136003189
g2: 400886702623515433450441638743032326304758011989136003189

a:  -622503750054148778447927876773410150655325499355815361231441264187052705887547996203035428244106196354648698200761035801469239590840962098620574052897394259086352457808989210928675679344592295594129637361825988
b:  106417995685801295609494893443397934836683423648572854175314621030330983619497051353167599317012602642080061887151065312223861173132692421492598087899162418118690925788168728728509425357100745064384841820788306376770924113224600432381341989946565
g1: 432637782887303308737528142687767373215061278560714358480980723
g2: 432637782887303308737528142687767373215061278560714358480980723

a:  -130281290033409227669668691456087056620422957766459960622537779684240780259729821292134338819039520312780294035471126592466139102803011701875804734207839845617306647757343972
b:  -6241632785248438289258782242794328586196917019466105233306343257172365828417751834876613686144288853919438436363725895267129000222612041954517975498810019764573677176834774554836601683997066345505093053254180603738492438047415
g1: 77583782165997432701499086310742667158975705231
g2: 77583782165997432701499086310742667158975705231

a:  203435657778759592427099860832792294446091283027701282313415289074508712209342991692975391701481051344835677842066527832068830394980723575460730869205301159107879395387510130680444188684084962511936562462197556938501235
b:  -2093829456736669915745372282570169503792712550431238656599520268107766775210431456937264078601175334007680660388812017522873251398131887772300723579747549567135110380604899989135817008011893
g1: 44694085703186986503056426595389763014533494229070146395670463379860981828689093
g2: 44694085703186986503056426595389763014533494229070146395670463379860981828689093

a:  -27701113921858739413402712524759667138428282091025911343968618907478937831252388804415048594118955031253055390311648358816518354346674656890828841770528326455685139024173983483560228154141053079231813252125330971056506547573821309883
b:  -169963141188755681620157505386763890711047286791957919162208333524247676404144247161308675204282631858565748596251488259900269005568360053957230951467299591301450883604543532049501436861574652941272988491004507106
g1: 101041637784052029426420450645633700576741353012704870248576346075979953497
g2: 101041637784052029426420450645633700576741353012704870248576346075979953497

a:  -770270882337693493429395574822318831552591367301478177577699545993052350826010869639638555409275646601153307519362541511999941090503496295306456174527687191646424143045333653752533897155920069759
b:  52022078809138076320729430514796697805967288566117623417484752218447611121082398474265766433834966806185937937537504721774346321330562633306299158168372677415303252571169661023260260543571150980659551566103420716740
g1: 2571681419053592962973332889537587742512628035079941721377037
g2: 2571681419053592962973332889537587742512628035079941721377037

a:  -21893280758916278258837454730805999556185375520731842278199865509900938390620621871340127387834957259605402150402700091817169994787292188168240100198252554326635480821118514288667869893780411933784755349061657621527072332388
b:  44669531288107820652770291285540404484448804630690544444810221188211690031084501014865630331005324287652812082316279776812126574395407505408612084884939104290854228360388102869552767321
g1: 56737413922753510505843203804477950649610985041426888627462869
g2: 56737413922753510505843203804477950649610985041426888627462869

a:  131728572580775965603895941505385310788327882784104798652734761410759396891087761283089706430914044187901946260720051890831794084489541240270938609950236628118990129796388
b:  11383812253045753365115423987730979323317196972690873300973064353024379295576467929199694184756847969472406602634590779022666163151509454389521300806760231658368700
g1: 97804942659536594964065452
g2: 97804942659536594964065452

g: 2147483648
213^{1/5}: 3
-213^{1/5}: -2
log2(0): 0
log2(1): 0
log2(2): 1
log2(3): 1
log2(4): 2
log2(5): 2
log2(6): 2
log2(7): 2
log2(8): 3
log2(9): 3
log2(10): 3
log2(11): 3
log2(12): 3
log2(13): 3
log2(14): 3
log2(15): 3
log2(16): 4
log2(17): 4
log2(18): 4
log2(19): 4
log2(20): 4
log2(21): 4
log2(22): 4
log2(23): 4
log2(24): 4
log2(25): 4
log2(26): 4
log2(27): 4
log2(28): 4
log2(29): 4
log2(30): 4
log2(31): 4
log2(32): 5
log2(33): 5
log2(34): 5
log2(35): 5
log2(36): 5
log2(37): 5
log2(38): 5
log2(39): 5
log2(40): 5
log2(41): 5
log2(42): 5
log2(43): 5
log2(44): 5
log2(45): 5
log2(46): 5
log2(47): 5
log2(48): 5
log2(49): 5
log2(50): 5
log2(51): 5
log2(52): 5
log2(53): 5
log2(54): 5
log2(55): 5
log2(56): 5
log2(57): 5
log2(58): 5
log2(59): 5
log2(60): 5
log2(61): 5
log2(62): 5
log2(63): 5
log2(64): 6
a: 1000231
b: 102928187172727273
b: 102951963583964173000063
r: 18446744075857035263
expected: 18446744075857035263
4294967295 4294967295
1002034040050606089383838288182
1002034040050606089383838288182
*-2 = 
-2004068080101212178767676576364
v2:
4294967296
v2*v2:
18446744073709551616
v2:
4294967296
v2*v2:
18446744073709551616
v2: 115792089237316195423570985008687907853269984665640564039457584007913129639936
PASS
(test mpz :time 0.35 :before-memory 1464.86 :after-memory 1464.86)
1
11/10
1/3
1002034040050606089383838288182
1002034040050606089383838288182
*-2 = 
-2004068080101212178767676576364
1/3: 0.3333333333?
1/4: 0.25
PASS
(test mpq :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
1
11/10
1/3
1002034040050606089383838288182
1002034040050606089383838288182
*-2 = 
-2004068080101212178767676576364
1/3: 0.3333333333?
1/4: 0.25
PASS
(test mpq :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test mpf :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test mpf :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
****************************************************************************************************
1 3 2
****************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************
****************************************************************************************************
****************************************************************************************************
****************************************************************************************************
****************************************************************************************************
****************************************************************************************************
PASS
(test total_order :time 1.68 :before-memory 1464.86 :after-memory 1464.86)
****************************************************************************************************
1 3 2
****************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************
****************************************************************************************************
****************************************************************************************************
****************************************************************************************************
****************************************************************************************************
****************************************************************************************************
PASS
(test total_order :time 1.70 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test dl_table :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test dl_table :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test dl_context :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test dl_context :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test dl_util :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test dl_util :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test dl_product_relation :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test dl_product_relation :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test dl_relation :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test dl_relation :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
max. heap size: 2630.62 Mbytes
max. heap size: 2630.62 Mbytes
PASS
(test parray :time 0.36 :before-memory 1464.86 :after-memory 1464.86)
max. heap size: 2630.62 Mbytes
max. heap size: 2630.62 Mbytes
PASS
(test parray :time 0.36 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test stack :time 1.25 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test stack :time 1.46 :before-memory 1464.86 :after-memory 1464.86)
[\"hello\"\"world\"

]
[\"hello\"
world\"]
[\"hello\"
world\"]
[\"hello\"
world\"]
[\"hello\"
\"world\"

]
[]
[


]
[]
[
]
[]
[]
[]
[]
PASS
(test escaped :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
[\"hello\"\"world\"

]
[\"hello\"
world\"]
[\"hello\"
world\"]
[\"hello\"
world\"]
[\"hello\"
\"world\"

]
[]
[


]
[]
[
]
[]
[]
[]
[]
PASS
(test escaped :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test buffer :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test buffer :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
10 20 30 
12 10 
12 10 13 
14 12 10 13 
18 10 14 16 13 
18 14 16 13 
size: 7 7
size: 7 7
size: 669 669
PASS
(test chashtable :time 0.30 :before-memory 1464.86 :after-memory 1464.86)
10 20 30 
12 10 
12 10 13 
14 12 10 13 
18 10 14 16 13 
18 14 16 13 
size: 7 7
size: 4 4
size: 649 649
PASS
(test chashtable :time 0.27 :before-memory 1464.86 :after-memory 1464.86)
testing exception
Format 12 twelve
PASS
(test ex :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
testing exception
Format 12 twelve
PASS
(test ex :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test nlarith_util :time 0.01 :before-memory 1464.86 :after-memory 1464.86)
PASS
(test nlarith_util :time 0.00 :before-memory 1464.86 :after-memory 1464.86)
Using Z3 Version 4.4 (build 1, revision 0)
result 1
model : mySet -> (_ as-array k!3)
k!3 -> {
  42 -> true
  43 -> true
  else -> false
}
k!0 -> {
  false
}
k!1 -> {
  42 -> true
  else -> false
}
k!2 -> {
  42 -> true
  43 -> true
  else -> false
}

PASS
(test api_bug :time 0.01 :before-memory 1464.86 :after-memory 1465.33)
Using Z3 Version 4.4 (build 1, revision 0)
result 1
model : mySet -> (_ as-array k!3)
k!3 -> {
  42 -> true
  43 -> true
  else -> false
}
k!0 -> {
  false
}
k!1 -> {
  42 -> true
  else -> false
}
k!2 -> {
  42 -> true
  43 -> true
  else -> false
}

PASS
(test api_bug :time 0.01 :before-memory 1465.33 :after-memory 1465.81)
0.0
(<= (+ (* (/ 13.0 10.0) x y) (* (/ 23.0 10.0) y y) (* (- 2.0) x)) (/ 11.0 10.0))
(<= (+ (* (/ 13.0 11.0) x y) (* (/ 23.0 11.0) y y) (* (- (/ 20.0 11.0)) x)) 1.0)
(= (+ (* 3.0 x x) (* (- 4.0) y)) (- 7.0))
(= (+ (* x x) (* (- (/ 4.0 3.0)) y)) (- (/ 7.0 3.0)))
PASS
(test arith_rewriter :time 0.01 :before-memory 1465.81 :after-memory 1465.83)
0.0
(<= (+ (* (/ 13.0 10.0) x y) (* (/ 23.0 10.0) y y) (* (- 2.0) x)) (/ 11.0 10.0))
(<= (+ (* (/ 13.0 11.0) x y) (* (/ 23.0 11.0) y y) (* (- (/ 20.0 11.0)) x)) 1.0)
(= (+ (* 3.0 x x) (* (- 4.0) y)) (- 7.0))
(= (+ (* x x) (* (- (/ 4.0 3.0)) y)) (- (/ 7.0 3.0)))
PASS
(test arith_rewriter :time 0.01 :before-memory 1465.83 :after-memory 1465.83)
PASS
(test check_assumptions :time 0.00 :before-memory 1465.83 :after-memory 1465.83)
PASS
(test check_assumptions :time 0.00 :before-memory 1465.83 :after-memory 1465.83)
PASS
(test smt_context :time 0.00 :before-memory 1465.83 :after-memory 1465.83)
PASS
(test smt_context :time 0.00 :before-memory 1465.83 :after-memory 1465.83)
b -> 63
a -> 47
b -> 46
a -> 0
c -> 47
l_false
PASS
(test theory_dl :time 0.03 :before-memory 1465.83 :after-memory 1465.83)
b -> 63
a -> 47
b -> 46
a -> 0
c -> 47
l_false
PASS
(test theory_dl :time 0.03 :before-memory 1465.83 :after-memory 1465.83)
satisfiable
a1 -> (_ as-array k!0)
k!0 -> {
  true -> true
  else -> true
}
--------------------------
Logical context:
scope-lvl: 0
base-lvl:  0
search-lvl:  0
inconsistent(): 0
m_asserted_formulas.inconsistent(): 0
#1 := true
#7 := a1
#9 := (select a1 true)
#2 := false
#30 := as-array[#2147483787]
#8 := a2
#31 := (= a2 as-array[#2147483787])
asserted formulas:
#9 #31 
current assignment:
#9 
expression -> bool_var:
(#1 -> p!0) (#9 -> p!1) 
expression -> enode:
(#1 -> e!0) (#2 -> e!1) (#7 -> e!2) (#9 -> e!3) 
relevant exprs:
#9 #1 #7 
Theory arithmetic:
vars:
rows (compact view):
rows (expanded view):
atoms:
asserted atoms:
Theory array:
v0    #7    -> #7    is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {#9 #9}
 maps: {} p_parent_maps: {} p_const: {}
v1    #9    -> #9    is_array: 0 is_select: 1 upward: 0 stores: {} p_stores: {} p_selects: {}
 maps: {} p_parent_maps: {} p_const: {}
Theory bv:
atoms:
Theory datatype:
Theory 9 does not have a display method
Theory 10 does not have a display method
fpa theory variables:
bv theory variables:
arith theory variables:
equivalence classes:
1 --> true
2 --> false
7 --> a1
9 --> (select a1 true)
decl2enodes:
id 132 -> #9
hot bool vars:
--------------------------
Logical context:
scope-lvl: 2
base-lvl:  0
search-lvl:  0
inconsistent(): 0
m_asserted_formulas.inconsistent(): 0
#1 := true
#7 := a1
#9 := (select a1 true)
#30 := as-array[#2147483787]
#32 := (default as-array[#2147483787])
#33 := epsilon!1
#34 := (z3.sk.0 epsilon!1)
#35 := (iff #32 #34)
#8 := a2
#31 := (= a2 as-array[#2147483787])
#2 := false
asserted formulas:
#9 #31 
auxiliary clauses:
(clause (not #34) #32)
(clause (not #32) #34)
current assignment:
#9 #35 #31 (not #32) (not #34) (not #33) 
equivalence classes:
#8 -> #30
#32 -> #2
#33 -> #2
#34 -> #2
expression -> bool_var:
(#1 -> p!0) (#9 -> p!1) (#32 -> p!2) (#33 -> p!3) (#34 -> p!4) (#35 -> p!5) (#31 -> p!6) 
expression -> enode:
(#1 -> e!0) (#2 -> e!1) (#7 -> e!2) (#9 -> e!3) (#8 -> e!4) (#30 -> e!5) (#32 -> e!6) (#33 -> e!7) (#34 -> e!8) (#31 -> e!9) 
relevant exprs:
#9 #1 #7 #35 #34 #32 #33 #30 #31 #8 #2 
Theory arithmetic:
vars:
rows (compact view):
rows (expanded view):
atoms:
asserted atoms:
Theory array:
v0    #7    -> #7    is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {#9 #9}
 maps: {} p_parent_maps: {} p_const: {}
v1    #9    -> #9    is_array: 0 is_select: 1 upward: 0 stores: {} p_stores: {} p_selects: {}
 maps: {} p_parent_maps: {} p_const: {}
v2    #8    -> #8    is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {}
 maps: {} p_parent_maps: {} p_const: {}
v3    #30   -> #8    is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {}
 maps: {} p_parent_maps: {} p_const: {}
v4    #32   -> #32   is_array: 0 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {}
 maps: {} p_parent_maps: {} p_const: {}
Theory bv:
atoms:
Theory datatype:
Theory 9 does not have a display method
Theory 10 does not have a display method
fpa theory variables:
bv theory variables:
arith theory variables:
equivalence classes:
1 --> true
2 --> false
7 --> a1
9 --> (select a1 true)
30 --> a2
30 --> (_ as-array k!0)
2 --> (default (_ as-array k!0))
2 --> epsilon!1
2 --> (k!0 epsilon!1)
31 --> (= a2 (_ as-array k!0))
decl2enodes:
id 132 -> #9
id 139 -> #34
id 142 -> #32
hot bool vars:
--------------------------
unknown
PASS
(test model_retrieval :time 0.01 :before-memory 1465.83 :after-memory 1465.83)
satisfiable
a1 -> (_ as-array k!0)
k!0 -> {
  true -> true
  else -> true
}
--------------------------
Logical context:
scope-lvl: 0
base-lvl:  0
search-lvl:  0
inconsistent(): 0
m_asserted_formulas.inconsistent(): 0
#1 := true
#7 := a1
#9 := (select a1 true)
#2 := false
#30 := as-array[#2147483787]
#8 := a2
#31 := (= a2 as-array[#2147483787])
asserted formulas:
#9 #31 
current assignment:
#9 
expression -> bool_var:
(#1 -> p!0) (#9 -> p!1) 
expression -> enode:
(#1 -> e!0) (#2 -> e!1) (#7 -> e!2) (#9 -> e!3) 
relevant exprs:
#9 #1 #7 
Theory arithmetic:
vars:
rows (compact view):
rows (expanded view):
atoms:
asserted atoms:
Theory array:
v0    #7    -> #7    is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {#9 #9}
 maps: {} p_parent_maps: {} p_const: {}
v1    #9    -> #9    is_array: 0 is_select: 1 upward: 0 stores: {} p_stores: {} p_selects: {}
 maps: {} p_parent_maps: {} p_const: {}
Theory bv:
atoms:
Theory datatype:
Theory 9 does not have a display method
Theory 10 does not have a display method
fpa theory variables:
bv theory variables:
arith theory variables:
equivalence classes:
1 --> true
2 --> false
7 --> a1
9 --> (select a1 true)
decl2enodes:
id 132 -> #9
hot bool vars:
--------------------------
Logical context:
scope-lvl: 2
base-lvl:  0
search-lvl:  0
inconsistent(): 0
m_asserted_formulas.inconsistent(): 0
#1 := true
#7 := a1
#9 := (select a1 true)
#30 := as-array[#2147483787]
#32 := (default as-array[#2147483787])
#33 := epsilon!1
#34 := (z3.sk.0 epsilon!1)
#35 := (iff #32 #34)
#8 := a2
#31 := (= a2 as-array[#2147483787])
#2 := false
asserted formulas:
#9 #31 
auxiliary clauses:
(clause (not #34) #32)
(clause (not #32) #34)
current assignment:
#9 #35 #31 (not #32) (not #34) (not #33) 
equivalence classes:
#8 -> #30
#32 -> #2
#33 -> #2
#34 -> #2
expression -> bool_var:
(#1 -> p!0) (#9 -> p!1) (#32 -> p!2) (#33 -> p!3) (#34 -> p!4) (#35 -> p!5) (#31 -> p!6) 
expression -> enode:
(#1 -> e!0) (#2 -> e!1) (#7 -> e!2) (#9 -> e!3) (#8 -> e!4) (#30 -> e!5) (#32 -> e!6) (#33 -> e!7) (#34 -> e!8) (#31 -> e!9) 
relevant exprs:
#9 #1 #7 #35 #34 #32 #33 #30 #31 #8 #2 
Theory arithmetic:
vars:
rows (compact view):
rows (expanded view):
atoms:
asserted atoms:
Theory array:
v0    #7    -> #7    is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {#9 #9}
 maps: {} p_parent_maps: {} p_const: {}
v1    #9    -> #9    is_array: 0 is_select: 1 upward: 0 stores: {} p_stores: {} p_selects: {}
 maps: {} p_parent_maps: {} p_const: {}
v2    #8    -> #8    is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {}
 maps: {} p_parent_maps: {} p_const: {}
v3    #30   -> #8    is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {}
 maps: {} p_parent_maps: {} p_const: {}
v4    #32   -> #32   is_array: 0 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {}
 maps: {} p_parent_maps: {} p_const: {}
Theory bv:
atoms:
Theory datatype:
Theory 9 does not have a display method
Theory 10 does not have a display method
fpa theory variables:
bv theory variables:
arith theory variables:
equivalence classes:
1 --> true
2 --> false
7 --> a1
9 --> (select a1 true)
30 --> a2
30 --> (_ as-array k!0)
2 --> (default (_ as-array k!0))
2 --> epsilon!1
2 --> (k!0 epsilon!1)
31 --> (= a2 (_ as-array k!0))
decl2enodes:
id 132 -> #9
id 139 -> #34
id 142 -> #32
hot bool vars:
--------------------------
unknown
PASS
(test model_retrieval :time 0.01 :before-memory 1465.83 :after-memory 1465.83)
(<= 0.0 (* 2.0 z z)) -> (or (= 0.0 z) (= 0.0 (- 2.0)) (< (- 2.0) 0.0))
PASS
(test factor_rewriter :time 0.00 :before-memory 1465.83 :after-memory 1465.83)
(<= 0.0 (* 2.0 z z)) -> (or (= 0.0 z) (= 0.0 (- 2.0)) (< (- 2.0) 0.0))
PASS
(test factor_rewriter :time 0.00 :before-memory 1465.83 :after-memory 1465.83)
(declare-datatypes (T) ((list (nil) (cons (car T) (cdr list)))))
(declare-const x Int)
(declare-const l (list Int))
(declare-fun f ((list Int)) Bool)
(assert (f (cons x l)))

; test
(set-info :status unknown)
(declare-datatypes () ((list (nil) (cons (car Int) (cdr list)))))
(declare-fun l () list)
(declare-fun x () Int)
(declare-fun f (list) Bool)
(assert
 (f (cons x l)))
(check-sat)

(f (cons x l))
(declare-const x Int)
(declare-const a (Array Int Int))
(declare-const b (Array (Array Int Int) Bool))
(assert (select b a))
(assert (= b ((as const (Array (Array Int Int) Bool)) true)))
(assert (= b (store b a true)))
(declare-const b1 (Array Bool Bool))
(declare-const b2 (Array Bool Bool))
(assert (= ((as const (Array Bool Bool)) false) ((_ map and) b1 b2)))

; test
(set-info :status unknown)
(declare-fun b2 () (Array Bool Bool))
(declare-fun b1 () (Array Bool Bool))
(declare-fun a () (Array Int Int))
(declare-fun b () (Array (Array Int Int) Bool))
(assert
 (and (select b a) (= b ((as const (Array (Array Int Int) Bool)) true)) (= b (store b a true)) (= ((as const (Array Bool Bool)) false) ((_ map and ) b1 b2))))
(check-sat)

(and (select b a)
     (= b ((as const (Array (Array Int Int) Bool)) true))
     (= b (store b a true))
     (= ((as const (Array Bool Bool)) false)
        ((_ map (and (Bool Bool) Bool)) b1 b2)))
(declare-datatypes () ((list (nil) (cons (car tree) (cdr list))) (tree (leaf) (node (n list)))))
(declare-const x tree)
(declare-const l list)
(declare-fun f (list) Bool)
(assert (f (cons x l)))

; test
(set-info :status unknown)
(declare-datatypes () ((list (nil) (cons (car tree) (cdr list))) (tree (leaf) (node (n list)))))
(declare-fun l () list)
(declare-fun x () tree)
(declare-fun f (list) Bool)
(assert
 (f (cons x l)))
(check-sat)

(f (cons x l))
(declare-const x Real)
(declare-const y Int)
(assert (= x 0.0))
(assert (= y 6))
(assert (> (/ x 1.4) (to_real y)))
; test
(set-info :status unknown)
(declare-fun y () Int)
(declare-fun x () Real)
(assert
 (and (= x 0.0) (= y 6) (> (/ x (/ 7.0 5.0)) (to_real y))))
(check-sat)

(and (= x 0.0) (= y 6) (> (/ x (/ 7.0 5.0)) (to_real y)))
(declare-const x (_ BitVec 4))
(declare-const y (_ BitVec 4))
(assert (bvule x (bvmul y (concat ((_ extract 2 0) x) ((_ extract 3 3) #xf0)))))
; test
(set-info :status unknown)
(declare-fun x () (_ BitVec 4))
(declare-fun y () (_ BitVec 4))
(assert
 (bvule x (bvmul y (concat ((_ extract 2 0) x) ((_ extract 3 3) (_ bv240 8))))))
(check-sat)

(bvule x (bvmul y (concat ((_ extract 2 0) x) ((_ extract 3 3) #xf0))))
PASS
(test smt2print_parse :time 0.03 :before-memory 1465.83 :after-memory 1465.83)
(declare-datatypes (T) ((list (nil) (cons (car T) (cdr list)))))
(declare-const x Int)
(declare-const l (list Int))
(declare-fun f ((list Int)) Bool)
(assert (f (cons x l)))

; test
(set-info :status unknown)
(declare-datatypes () ((list (nil) (cons (car Int) (cdr list)))))
(declare-fun l () list)
(declare-fun x () Int)
(declare-fun f (list) Bool)
(assert
 (f (cons x l)))
(check-sat)

(f (cons x l))
(declare-const x Int)
(declare-const a (Array Int Int))
(declare-const b (Array (Array Int Int) Bool))
(assert (select b a))
(assert (= b ((as const (Array (Array Int Int) Bool)) true)))
(assert (= b (store b a true)))
(declare-const b1 (Array Bool Bool))
(declare-const b2 (Array Bool Bool))
(assert (= ((as const (Array Bool Bool)) false) ((_ map and) b1 b2)))

; test
(set-info :status unknown)
(declare-fun b2 () (Array Bool Bool))
(declare-fun b1 () (Array Bool Bool))
(declare-fun a () (Array Int Int))
(declare-fun b () (Array (Array Int Int) Bool))
(assert
 (and (select b a) (= b ((as const (Array (Array Int Int) Bool)) true)) (= b (store b a true)) (= ((as const (Array Bool Bool)) false) ((_ map and ) b1 b2))))
(check-sat)

(and (select b a)
     (= b ((as const (Array (Array Int Int) Bool)) true))
     (= b (store b a true))
     (= ((as const (Array Bool Bool)) false)
        ((_ map (and (Bool Bool) Bool)) b1 b2)))
(declare-datatypes () ((list (nil) (cons (car tree) (cdr list))) (tree (leaf) (node (n list)))))
(declare-const x tree)
(declare-const l list)
(declare-fun f (list) Bool)
(assert (f (cons x l)))

; test
(set-info :status unknown)
(declare-datatypes () ((list (nil) (cons (car tree) (cdr list))) (tree (leaf) (node (n list)))))
(declare-fun l () list)
(declare-fun x () tree)
(declare-fun f (list) Bool)
(assert
 (f (cons x l)))
(check-sat)

(f (cons x l))
(declare-const x Real)
(declare-const y Int)
(assert (= x 0.0))
(assert (= y 6))
(assert (> (/ x 1.4) (to_real y)))
; test
(set-info :status unknown)
(declare-fun y () Int)
(declare-fun x () Real)
(assert
 (and (= x 0.0) (= y 6) (> (/ x (/ 7.0 5.0)) (to_real y))))
(check-sat)

(and (= x 0.0) (= y 6) (> (/ x (/ 7.0 5.0)) (to_real y)))
(declare-const x (_ BitVec 4))
(declare-const y (_ BitVec 4))
(assert (bvule x (bvmul y (concat ((_ extract 2 0) x) ((_ extract 3 3) #xf0)))))
; test
(set-info :status unknown)
(declare-fun x () (_ BitVec 4))
(declare-fun y () (_ BitVec 4))
(assert
 (bvule x (bvmul y (concat ((_ extract 2 0) x) ((_ extract 3 3) (_ bv240 8))))))
(check-sat)

(bvule x (bvmul y (concat ((_ extract 2 0) x) ((_ extract 3 3) #xf0))))
PASS
(test smt2print_parse :time 0.03 :before-memory 1465.83 :after-memory 1465.83)
VAR 0:0 --> 0
(:var 1)
PASS
(test substitution :time 0.00 :before-memory 1465.83 :after-memory 1465.83)
VAR 0:0 --> 0
(:var 1)
PASS
(test substitution :time 0.00 :before-memory 1465.83 :after-memory 1465.83)
---------
p: x0 x1^2 + x0 x1 + x1 + 2
q: x0 x1 + 3
S_0: - x0^2 + 6 x0
---------
p: x0 x1^4 + x0 x1^3 + x1^3 + 2
q: x0 x1^3 + 3
S_0: - x0^4 + 72 x0^3 - 27 x0^2 - 27 x0
S_1: 9 x0^3
---------
p: x9^4 + x0 x9^2 + x1 x9 + x2
q: 4 x9^3 + 2 x0 x9 + x1
S_0: 256 x2^3 - 4 x0^3 x1^2 - 128 x0^2 x2^2 + 144 x0 x1^2 x2 - 27 x1^4 + 16 x0^4 x2
S_1: - 32 x0 x2 + 8 x0^3 + 36 x1^2
S_2: 8 x0
---------
p: x9 x10^2 - x10^2 + 6 x9 - 6 - x9^2 x10 - x10
q: - x9 x10^2 - x9^2 + 6 x10 - 6 + x9^2 x10 - x9
S_0: 2 x9^6 - 22 x9^5 + 102 x9^4 - 274 x9^3 + 488 x9^2 - 552 x9 + 288
S_1: - x9^2 - 6 + 5 x9
---------
p: x9 x10^3 - x10^3 + 6 x9 - 6 - x9^3 x10 - x10
q: - x9 x10^3 - x9^3 + 6 x10 - 6 + x9^3 x10 - x9
S_0: 3 x9^11 - 3 x9^10 - 37 x9^9 + 99 x9^8 + 51 x9^7 - 621 x9^6 + 1089 x9^5 - 39 x9^4 - 3106 x9^3 + 5868 x9^2 - 4968 x9 + 1728
S_1: x9^6 - 10 x9^4 + 12 x9^3 + 25 x9^2 - 60 x9 + 36
---------
p: x9^6 + x0 x9^3 + x1
q: x9^6 + x2 x9^3 + x3
S_0: x3^6 + 3 x0^4 x2^2 x3^3 - 3 x0^5 x2 x3^3 + x0^6 x3^3 + 3 x0^2 x1 x2^4 x3^2 - 9 x0^3 x1 x2^3 x3^2 + 9 x0^4 x1 x2^2 x3^2 - 3 x0^5 x1 x2 x3^2 - 3 x0 x1^2 x2^5 x3 + 9 x0^2 x1^2 x2^4 x3 - 9 x0^3 x1^2 x2^3 x3 + 3 x0^4 x1^2 x2^2 x3 + x1^3 x2^6 - 3 x0 x1^3 x2^5 + 3 x0^2 x1^3 x2^4 - x0^3 x1^3 x2^3 + 3 x0^2 x2^2 x3^4 - 6 x0^3 x2 x3^4 + 3 x0^4 x3^4 - 6 x0 x1 x2^3 x3^3 + 6 x0^2 x1 x2^2 x3^3 + 6 x0^3 x1 x2 x3^3 - 6 x0^4 x1 x3^3 + 3 x1^2 x2^4 x3^2 + 6 x0 x1^2 x2^3 x3^2 - 18 x0^2 x1^2 x2^2 x3^2 + 6 x0^3 x1^2 x2 x3^2 + 3 x0^4 x1^2 x3^2 - 6 x1^3 x2^4 x3 + 6 x0 x1^3 x2^3 x3 + 6 x0^2 x1^3 x2^2 x3 - 6 x0^3 x1^3 x2 x3 + 3 x1^4 x2^4 - 6 x0 x1^4 x2^3 + 3 x0^2 x1^4 x2^2 - 3 x0 x2 x3^5 + 3 x0^2 x3^5 + 3 x1 x2^2 x3^4 + 9 x0 x1 x2 x3^4 - 12 x0^2 x1 x3^4 - 12 x1^2 x2^2 x3^3 - 6 x0 x1^2 x2 x3^3 + 18 x0^2 x1^2 x3^3 + 18 x1^3 x2^2 x3^2 - 6 x0 x1^3 x2 x3^2 - 12 x0^2 x1^3 x3^2 - 12 x1^4 x2^2 x3 + 9 x0 x1^4 x2 x3 + 3 x0^2 x1^4 x3 + 3 x1^5 x2^2 - 3 x0 x1^5 x2 - x0^3 x2^3 x3^3 - 6 x1 x3^5 + 15 x1^2 x3^4 - 20 x1^3 x3^3 + 15 x1^4 x3^2 - 6 x1^5 x3 + x1^6
S_1: x2^3 - 3 x0 x2^2 + 3 x0^2 x2 - x0^3
---------
p: x9
q: x0 x9 + x1 x2 + x3 - x4
S_0: - x4 + x3 + x1 x2
---------
p: x0 x3 x9 + x0 x2 x5 + x0 x4 - x0 x1
q: x3 x9 + x2 x5 + x4 - x1
S_0: 0
PASS
(test polynomial :time 0.02 :before-memory 1465.83 :after-memory 1465.83)
---------
p: x0 x1^2 + x0 x1 + x1 + 2
q: x0 x1 + 3
S_0: - x0^2 + 6 x0
---------
p: x0 x1^4 + x0 x1^3 + x1^3 + 2
q: x0 x1^3 + 3
S_0: - x0^4 + 72 x0^3 - 27 x0^2 - 27 x0
S_1: 9 x0^3
---------
p: x9^4 + x0 x9^2 + x1 x9 + x2
q: 4 x9^3 + 2 x0 x9 + x1
S_0: 256 x2^3 - 4 x0^3 x1^2 - 128 x0^2 x2^2 + 144 x0 x1^2 x2 - 27 x1^4 + 16 x0^4 x2
S_1: - 32 x0 x2 + 8 x0^3 + 36 x1^2
S_2: 8 x0
---------
p: x9 x10^2 - x10^2 + 6 x9 - 6 - x9^2 x10 - x10
q: - x9 x10^2 - x9^2 + 6 x10 - 6 + x9^2 x10 - x9
S_0: 2 x9^6 - 22 x9^5 + 102 x9^4 - 274 x9^3 + 488 x9^2 - 552 x9 + 288
S_1: - x9^2 - 6 + 5 x9
---------
p: x9 x10^3 - x10^3 + 6 x9 - 6 - x9^3 x10 - x10
q: - x9 x10^3 - x9^3 + 6 x10 - 6 + x9^3 x10 - x9
S_0: 3 x9^11 - 3 x9^10 - 37 x9^9 + 99 x9^8 + 51 x9^7 - 621 x9^6 + 1089 x9^5 - 39 x9^4 - 3106 x9^3 + 5868 x9^2 - 4968 x9 + 1728
S_1: x9^6 - 10 x9^4 + 12 x9^3 + 25 x9^2 - 60 x9 + 36
---------
p: x9^6 + x0 x9^3 + x1
q: x9^6 + x2 x9^3 + x3
S_0: x3^6 + 3 x0^4 x2^2 x3^3 - 3 x0^5 x2 x3^3 + x0^6 x3^3 + 3 x0^2 x1 x2^4 x3^2 - 9 x0^3 x1 x2^3 x3^2 + 9 x0^4 x1 x2^2 x3^2 - 3 x0^5 x1 x2 x3^2 - 3 x0 x1^2 x2^5 x3 + 9 x0^2 x1^2 x2^4 x3 - 9 x0^3 x1^2 x2^3 x3 + 3 x0^4 x1^2 x2^2 x3 + x1^3 x2^6 - 3 x0 x1^3 x2^5 + 3 x0^2 x1^3 x2^4 - x0^3 x1^3 x2^3 + 3 x0^2 x2^2 x3^4 - 6 x0^3 x2 x3^4 + 3 x0^4 x3^4 - 6 x0 x1 x2^3 x3^3 + 6 x0^2 x1 x2^2 x3^3 + 6 x0^3 x1 x2 x3^3 - 6 x0^4 x1 x3^3 + 3 x1^2 x2^4 x3^2 + 6 x0 x1^2 x2^3 x3^2 - 18 x0^2 x1^2 x2^2 x3^2 + 6 x0^3 x1^2 x2 x3^2 + 3 x0^4 x1^2 x3^2 - 6 x1^3 x2^4 x3 + 6 x0 x1^3 x2^3 x3 + 6 x0^2 x1^3 x2^2 x3 - 6 x0^3 x1^3 x2 x3 + 3 x1^4 x2^4 - 6 x0 x1^4 x2^3 + 3 x0^2 x1^4 x2^2 - 3 x0 x2 x3^5 + 3 x0^2 x3^5 + 3 x1 x2^2 x3^4 + 9 x0 x1 x2 x3^4 - 12 x0^2 x1 x3^4 - 12 x1^2 x2^2 x3^3 - 6 x0 x1^2 x2 x3^3 + 18 x0^2 x1^2 x3^3 + 18 x1^3 x2^2 x3^2 - 6 x0 x1^3 x2 x3^2 - 12 x0^2 x1^3 x3^2 - 12 x1^4 x2^2 x3 + 9 x0 x1^4 x2 x3 + 3 x0^2 x1^4 x3 + 3 x1^5 x2^2 - 3 x0 x1^5 x2 - x0^3 x2^3 x3^3 - 6 x1 x3^5 + 15 x1^2 x3^4 - 20 x1^3 x3^3 + 15 x1^4 x3^2 - 6 x1^5 x3 + x1^6
S_1: x2^3 - 3 x0 x2^2 + 3 x0^2 x2 - x0^3
---------
p: x9
q: x0 x9 + x1 x2 + x3 - x4
S_0: - x4 + x3 + x1 x2
---------
p: x0 x3 x9 + x0 x2 x5 + x0 x4 - x0 x1
q: x3 x9 + x2 x5 + x4 - x1
S_0: 0
PASS
(test polynomial :time 0.01 :before-memory 1465.83 :after-memory 1465.83)


Testing GCD
_p:  13 x^18 - 1560 x^17 + 86931 x^16 - 2987504 x^15 + 70923060 x^14 - 1234660752 x^13 + 16329634620 x^12 - 167746338864 x^11 + 1356661565766 x^10 - 8703145006400 x^9 + 44396368299114 x^8 - 179697656333520 x^7 + 572988784985188 x^6 - 1420294907137392 x^5 + 2677652713464300 x^4 - 3706435590858000 x^3 + 3548919735343125 x^2 - 2098635449625000 x + 577124748646875
_q:  234 x^17 - 26520 x^16 + 1390896 x^15 - 44812560 x^14 + 992922840 x^13 - 16050589776 x^12 + 195955615440 x^11 - 1845209727504 x^10 + 13566615657660 x^9 - 78328305057600 x^8 + 355170946392912 x^7 - 1257883594334640 x^6 + 3437932709911128 x^5 - 7101474535686960 x^4 + 10710610853857200 x^3 - 11119306772574000 x^2 + 7097839470686250 x - 2098635449625000
gcd: 13 x^15 - 1313 x^14 + 60645 x^13 - 1697865 x^12 + 32200545 x^11 - 437963877 x^10 + 4411517097 x^9 - 33504144765 x^8 + 193432514535 x^7 - 849099998435 x^6 + 2811735445519 x^5 - 6901018131579 x^4 + 12159189854955 x^3 - 14529083829975 x^2 + 10535573923875 x - 3497725749375
_p:  13 x^18 - 1560 x^17 + 86931 x^16 - 2987504 x^15 + 70923060 x^14 - 1234660752 x^13 + 16329634620 x^12 - 167746338864 x^11 + 1356661565766 x^10 - 8703145006400 x^9 + 44396368299114 x^8 - 179697656333520 x^7 + 572988784985188 x^6 - 1420294907137392 x^5 + 2677652713464300 x^4 - 3706435590858000 x^3 + 3548919735343125 x^2 - 2098635449625000 x + 577124748646875
_q:  234 x^17 - 26520 x^16 + 1390896 x^15 - 44812560 x^14 + 992922840 x^13 - 16050589776 x^12 + 195955615440 x^11 - 1845209727504 x^10 + 13566615657660 x^9 - 78328305057600 x^8 + 355170946392912 x^7 - 1257883594334640 x^6 + 3437932709911128 x^5 - 7101474535686960 x^4 + 10710610853857200 x^3 - 11119306772574000 x^2 + 7097839470686250 x - 2098635449625000
subresultant_gcd: x^15 - 101 x^14 + 4665 x^13 - 130605 x^12 + 2476965 x^11 - 33689529 x^10 + 339347469 x^9 - 2577241905 x^8 + 14879424195 x^7 - 65315384495 x^6 + 216287341963 x^5 - 530847548583 x^4 + 935322296535 x^3 - 1117621833075 x^2 + 810428763375 x - 269055826875
---------------
p: x0^2 - 2
_p: x^2 - 2
_p: x^2 - 2
k:  1
---------------
p: x0^5
_p: x^5
_p: x^5
k:  1
---------------
p: 64 x0^4 - 120 x0^3 + 70 x0^2 - 15 x0 + 1
_p: 64 x^4 - 120 x^3 + 70 x^2 - 15 x + 1
_p: 64 x^4 - 120 x^3 + 70 x^2 - 15 x + 1
k:  5
---------------
p: 1024 x0^5 - 1984 x0^4 + 1240 x0^3 - 310 x0^2 + 31 x0 - 1
_p: 1024 x^5 - 1984 x^4 + 1240 x^3 - 310 x^2 + 31 x - 1
_p: 1024 x^5 - 1984 x^4 + 1240 x^3 - 310 x^2 + 31 x - 1
k:  6
---------------
p: 1024 x0^8 - 1984 x0^7 + 1240 x0^6 - 310 x0^5 + 31 x0^4 - x0^3
_p: 1024 x^8 - 1984 x^7 + 1240 x^6 - 310 x^5 + 31 x^4 - x^3
_p: 1024 x^8 - 1984 x^7 + 1240 x^6 - 310 x^5 + 31 x^4 - x^3
k:  6
---------------
p: x0^5 - x0 - 1
_p: x^5 - x - 1
_p: x^5 - x - 1
k:  2
---------------
p: 1000 x0^2 - 1001 x0 + 1
_p: 1000 x^2 - 1001 x + 1
_p: 1000 x^2 - 1001 x + 1
k:  11
---------------
p: 1024 x0^5 + 704 x0^4 - 440 x0^3 - 110 x0^2 + 11 x0 + 1
_p: 1024 x^5 + 704 x^4 - 440 x^3 - 110 x^2 + 11 x + 1
_p: 1024 x^5 + 704 x^4 - 440 x^3 - 110 x^2 + 11 x + 1
k:  5
---------------
p: 1024 x0^5 + 1984 x0^4 + 1240 x0^3 + 310 x0^2 + 31 x0 + 1
_p: 1024 x^5 + 1984 x^4 + 1240 x^3 + 310 x^2 + 31 x + 1
_p: 1024 x^5 + 1984 x^4 + 1240 x^3 + 310 x^2 + 31 x + 1
k:  6
---------------
p: x0^10 - 10 x0^8 + 38 x0^6 - 2 x0^5 - 100 x0^4 - 40 x0^3 + 121 x0^2 - 38 x0 - 17
_p: x^10 - 10 x^8 + 38 x^6 - 2 x^5 - 100 x^4 - 40 x^3 + 121 x^2 - 38 x - 17
_p: x^10 - 10 x^8 + 38 x^6 - 2 x^5 - 100 x^4 - 40 x^3 + 121 x^2 - 38 x - 17
k:  3
---------------
p: x0^33 - 4 x0^30 - 12 x0^27 - 12 x0^29 - 5 x0^26 + 18 x0^23 - 24 x0^28 + 42 x0^25 + 9 x0^22 - 2 x0^19 + 51 x0^24 - 19 x0^21 - 8 x0^18 - 10 x0^20 - 5 x0^17 + 5 x0^32 - 94 x0^16 + 3 x0^31 - 91 x0^15 + 22 x0^14 + 18 x0^13 + 62 x0^12 + 62 x0^11 + 19 x0^10 + 2 x0^9 + 10 x0^7 - 9 x0^6 + 10 x0^8 - 64 x0^5 - 44 x0^4 - 4 x0^3 + 40 x0^2 + 56 x0 + 28
_p: x^33 + 5 x^32 + 3 x^31 - 4 x^30 - 12 x^29 - 24 x^28 - 12 x^27 - 5 x^26 + 42 x^25 + 51 x^24 + 18 x^23 + 9 x^22 - 19 x^21 - 10 x^20 - 2 x^19 - 8 x^18 - 5 x^17 - 94 x^16 - 91 x^15 + 22 x^14 + 18 x^13 + 62 x^12 + 62 x^11 + 19 x^10 + 2 x^9 + 10 x^8 + 10 x^7 - 9 x^6 - 64 x^5 - 44 x^4 - 4 x^3 + 40 x^2 + 56 x + 28
_p: x^33 + 5 x^32 + 3 x^31 - 4 x^30 - 12 x^29 - 24 x^28 - 12 x^27 - 5 x^26 + 42 x^25 + 51 x^24 + 18 x^23 + 9 x^22 - 19 x^21 - 10 x^20 - 2 x^19 - 8 x^18 - 5 x^17 - 94 x^16 - 91 x^15 + 22 x^14 + 18 x^13 + 62 x^12 + 62 x^11 + 19 x^10 + 2 x^9 + 10 x^8 + 10 x^7 - 9 x^6 - 64 x^5 - 44 x^4 - 4 x^3 + 40 x^2 + 56 x + 28
k:  3
---------------
p: 900 x0^19 - 6000113760 x0^18 + 10000758403594816 x0^17 - 1264023965440000000 x0^16 + 39942400000000000000 x0^15 - 2700000000000 x0^14 + 18000341280000000000 x0^13 - 30002275210784448000000000 x0^12 + 3792071896320000000000000000 x0^11 - 119827200000000000000000000000 x0^10 + 2700000000000000000000 x0^9 - 18000341280000000000000000000 x0^8 + 30002275210784448000000000000000000 x0^7 - 3792071896320000000000000000000000000 x0^6 + 119827200000000000000000000000000000000 x0^5 - 900000000000000000000000000000 x0^4 + 6000113760000000000000000000000000000 x0^3 - 10000758403594816000000000000000000000000000 x0^2 + 1264023965440000000000000000000000000000000000 x0 - 39942400000000000000000000000000000000000000000
_p: 900 x^19 - 6000113760 x^18 + 10000758403594816 x^17 - 1264023965440000000 x^16 + 39942400000000000000 x^15 - 2700000000000 x^14 + 18000341280000000000 x^13 - 30002275210784448000000000 x^12 + 3792071896320000000000000000 x^11 - 119827200000000000000000000000 x^10 + 2700000000000000000000 x^9 - 18000341280000000000000000000 x^8 + 30002275210784448000000000000000000 x^7 - 3792071896320000000000000000000000000 x^6 + 119827200000000000000000000000000000000 x^5 - 900000000000000000000000000000 x^4 + 6000113760000000000000000000000000000 x^3 - 10000758403594816000000000000000000000000000 x^2 + 1264023965440000000000000000000000000000000000 x - 39942400000000000000000000000000000000000000000
_p: 900 x^19 - 6000113760 x^18 + 10000758403594816 x^17 - 1264023965440000000 x^16 + 39942400000000000000 x^15 - 2700000000000 x^14 + 18000341280000000000 x^13 - 30002275210784448000000000 x^12 + 3792071896320000000000000000 x^11 - 119827200000000000000000000000 x^10 + 2700000000000000000000 x^9 - 18000341280000000000000000000 x^8 + 30002275210784448000000000000000000 x^7 - 3792071896320000000000000000000000000 x^6 + 119827200000000000000000000000000000000 x^5 - 900000000000000000000000000000 x^4 + 6000113760000000000000000000000000000 x^3 - 10000758403594816000000000000000000000000000 x^2 + 1264023965440000000000000000000000000000000000 x - 39942400000000000000000000000000000000000000000
k:  1
---------------
p: x0^4 + x0^2 - 20
factors:
1
*(x + 2)^1
*(x - 2)^1
*(x^2 + 5)^1
---------------
p: x0^4 + x0^2 - 20
factors:
1
*(x^4 + x^2 - 20)^1
---------------
p: x0^4 + x0^2 - 20
factors:
1
*(x + 2)^1
*(x - 2)^1
*(x^2 + 5)^1
---------------
p: x0^70 - 6 x0^65 - x0^60 + 60 x0^55 - 54 x0^50 - 230 x0^45 + 274 x0^40 + 542 x0^35 - 615 x0^30 - 1120 x0^25 + 1500 x0^20 - 160 x0^15 - 395 x0^10 + 76 x0^5 + 34
factors:
1
*(x^70 - 6 x^65 - x^60 + 60 x^55 - 54 x^50 - 230 x^45 + 274 x^40 + 542 x^35 - 615 x^30 - 1120 x^25 + 1500 x^20 - 160 x^15 - 395 x^10 + 76 x^5 + 34)^1
---------------
p: x0^70 - 6 x0^65 - x0^60 + 60 x0^55 - 54 x0^50 - 230 x0^45 + 274 x0^40 + 542 x0^35 - 615 x0^30 - 1120 x0^25 + 1500 x0^20 - 160 x0^15 - 395 x0^10 + 76 x0^5 + 34
factors:
1
*(x^10 - 2 x^5 - 1)^1
*(x^60 - 4 x^55 - 8 x^50 + 40 x^45 + 18 x^40 - 154 x^35 - 16 x^30 + 356 x^25 + 81 x^20 - 602 x^15 + 377 x^10 - 8 x^5 - 34)^1
---------------
p: x0^70 - 6 x0^65 - x0^60 + 60 x0^55 - 54 x0^50 - 230 x0^45 + 274 x0^40 + 542 x0^35 - 615 x0^30 - 1120 x0^25 + 1500 x0^20 - 160 x0^15 - 395 x0^10 + 76 x0^5 + 34
factors:
1
*(x^10 - 2 x^5 - 1)^1
*(x^50 - 10 x^40 + 38 x^30 - 2 x^25 - 100 x^20 - 40 x^15 + 121 x^10 - 38 x^5 - 17)^1
*(x^10 - 4 x^5 + 2)^1
---------------
p: x0^10 - 10 x0^8 + 38 x0^6 - 2 x0^5 - 100 x0^4 - 40 x0^3 + 121 x0^2 - 38 x0 - 17
factors:
1
*(x^10 - 10 x^8 + 38 x^6 - 2 x^5 - 100 x^4 - 40 x^3 + 121 x^2 - 38 x - 17)^1
---------------
p: x0^4 - 404 x0^2 + 39204
factors:
1
*(x^2 - 162)^1
*(x^2 - 242)^1
---------------
p: - x0^8 + 3 x0^7 - 5 x0^6 + 4 x0^5 - 3 x0^4 + 4 x0^3 - 5 x0 + 3
factors:
-1
*(x - 1)^1
*(x^2 - 2 x + 3)^1
*(x^5 - x^2 + 1)^1
---------------
p: x0^4 + x0^2 - 20
factors:
1
*(x + 2)^1
*(x - 2)^1
*(x^2 + 5)^1
---------------
p: 11 x0^8 - 33 x0^7 + 55 x0^6 - 44 x0^5 + 33 x0^4 - 44 x0^3 + 55 x0 - 33
factors:
11
*(x - 1)^1
*(x^2 - 2 x + 3)^1
*(x^5 - x^2 + 1)^1
---------------
p: - 2 x0^2 + x0 + 1
factors:
-1
*(x - 1)^1
*(2 x + 1)^1
---------------
p: 13 x0^18 - 1560 x0^17 + 86931 x0^16 - 2987504 x0^15 + 70923060 x0^14 - 1234660752 x0^13 + 16329634620 x0^12 - 167746338864 x0^11 + 1356661565766 x0^10 - 8703145006400 x0^9 + 44396368299114 x0^8 - 179697656333520 x0^7 + 572988784985188 x0^6 - 1420294907137392 x0^5 + 2677652713464300 x0^4 - 3706435590858000 x0^3 + 3548919735343125 x0^2 - 2098635449625000 x0 + 577124748646875
factors:
13
*(x - 5)^5
*(x - 3)^6
*(x - 11)^7
---------------
p: x0^30 + 30 x0^29 + 435 x0^28 + 4060 x0^27 + 27405 x0^26 + 142506 x0^25 + 593775 x0^24 + 2035800 x0^23 + 5852925 x0^22 + 14307150 x0^21 + 30045015 x0^20 + 54627300 x0^19 + 86493225 x0^18 + 119759850 x0^17 + 145422675 x0^16 + 155117520 x0^15 + 145422675 x0^14 + 119759850 x0^13 + 86493225 x0^12 + 54627300 x0^11 + 30045015 x0^10 + 14307150 x0^9 + 5852925 x0^8 + 2035800 x0^7 + 593775 x0^6 + 142506 x0^5 + 27405 x0^4 + 4060 x0^3 + 435 x0^2 + 30 x0 + 1
factors:
1
*(x + 1)^30
---------------
p: x0^70 - 6 x0^65 - x0^60 + 60 x0^55 - 54 x0^50 - 230 x0^45 + 274 x0^40 + 542 x0^35 - 615 x0^30 - 1120 x0^25 + 1500 x0^20 - 160 x0^15 - 395 x0^10 + 76 x0^5 + 34
factors:
1
*(x^10 - 2 x^5 - 1)^1
*(x^50 - 10 x^40 + 38 x^30 - 2 x^25 - 100 x^20 - 40 x^15 + 121 x^10 - 38 x^5 - 17)^1
*(x^10 - 4 x^5 + 2)^1
---------------
p: x0^4 - 8 x0^2
factors:
1
*(x^2 - 8)^1
*(x)^2
---------------
p: x0^5 - 2 x0^3 + x0 - 1
factors:
1
*(x^5 - 2 x^3 + x - 1)^1
---------------
p: x0^25 - 4 x0^21 - 5 x0^20 + 6 x0^17 + 11 x0^16 + 10 x0^15 - 4 x0^13 - 7 x0^12 - 9 x0^11 - 10 x0^10 + x0^9 + x0^8 + x0^7 + x0^6 + 3 x0^5 + x0 - 1
factors:
1
*(x^5 - 2 x^3 + x - 1)^1
*(x^10 + x^8 - x^6 - 2 x^5 - x^4 - x^3 + 1)^2
---------------
p: x0^25 - 10 x0^21 - 10 x0^20 - 95 x0^17 - 470 x0^16 - 585 x0^15 - 40 x0^13 - 1280 x0^12 - 4190 x0^11 - 3830 x0^10 + 400 x0^9 + 1760 x0^8 + 760 x0^7 - 2280 x0^6 + 449 x0^5 + 640 x0^3 - 640 x0^2 + 240 x0 - 32
factors:
1
*(x^5 - 16 x - 32)^1
*(x^10 + 3 x^6 + 11 x^5 - 4 x^2 + 4 x - 1)^2
---------------
p: x0^10
factors:
1
*(x)^10
---------------
p: x0^2 - 1
factors:
1
*(x - 1)^1
*(x + 1)^1
---------------
p: - 2 x0^2 + 2
factors:
-2
*(x - 1)^1
*(x + 1)^1
---------------
p: 0
factors:
0
---------------
p: 3
factors:
3
---------------
p: x0 + 1
factors:
1
*(x + 1)^1
---------------
p: x0 - 1
factors:
1
*(x - 1)^1
---------------
p: - x0 - 1
factors:
-1
*(x + 1)^1
---------------
p: - x0 + 1
factors:
-1
*(x - 1)^1
---------------
p: x0^10 - 10 x0^8 + 38 x0^6 - 2 x0^5 - 100 x0^4 - 40 x0^3 + 121 x0^2 - 38 x0 - 17
factors:
1
*(x^10 - 10 x^8 + 38 x^6 - 2 x^5 - 100 x^4 - 40 x^3 + 121 x^2 - 38 x - 17)^1
---------------
p: x0^50 - 10 x0^40 + 38 x0^30 - 2 x0^25 - 100 x0^20 - 40 x0^15 + 121 x0^10 - 38 x0^5 - 17
factors:
1
*(x^50 - 10 x^40 + 38 x^30 - 2 x^25 - 100 x^20 - 40 x^15 + 121 x^10 - 38 x^5 - 17)^1
---------------
p: x0^50 + 50 x0^49 + 1225 x0^48 + 19600 x0^47 + 230300 x0^46 + 2118760 x0^45 + 15890700 x0^44 + 99884400 x0^43 + 536878650 x0^42 + 2505433700 x0^41 + 10272278160 x0^40 + 37353738400 x0^39 + 121399643300 x0^38 + 354860419800 x0^37 + 937844742400 x0^36 + 2250822995040 x0^35 + 4923651311775 x0^34 + 9847192955550 x0^33 + 18052759836925 x0^32 + 30403208994400 x0^31 + 47120735638718 x0^30 + 67304328049540 x0^29 + 88693946746330 x0^28 + 107922921291080 x0^27 + 121316591779290 x0^26 + 126008358402418 x0^25 + 120920161583200 x0^24 + 107156006937400 x0^23 + 87616235053150 x0^22 + 66015165625200 x0^21 + 45751888559970 x0^20 + 29095194780400 x0^19 + 16923012027925 x0^18 + 8964604200300 x0^17 + 4300690170275 x0^16 + 1854462502360 x0^15 + 711289628150 x0^14 + 239061007300 x0^13 + 68794843050 x0^12 + 16285796400 x0^11 + 2912250341 x0^10 + 293635660 x0^9 - 24769155 x0^8 - 18147080 x0^7 - 4334640 x0^6 - 792418 x0^5 - 181390 x0^4 - 47580 x0^3 - 8780 x0^2 - 840 x0 - 47
factors:
1
*(x^50 + 50 x^49 + 1225 x^48 + 19600 x^47 + 230300 x^46 + 2118760 x^45 + 15890700 x^44 + 99884400 x^43 + 536878650 x^42 + 2505433700 x^41 + 10272278160 x^40 + 37353738400 x^39 + 121399643300 x^38 + 354860419800 x^37 + 937844742400 x^36 + 2250822995040 x^35 + 4923651311775 x^34 + 9847192955550 x^33 + 18052759836925 x^32 + 30403208994400 x^31 + 47120735638718 x^30 + 67304328049540 x^29 + 88693946746330 x^28 + 107922921291080 x^27 + 121316591779290 x^26 + 126008358402418 x^25 + 120920161583200 x^24 + 107156006937400 x^23 + 87616235053150 x^22 + 66015165625200 x^21 + 45751888559970 x^20 + 29095194780400 x^19 + 16923012027925 x^18 + 8964604200300 x^17 + 4300690170275 x^16 + 1854462502360 x^15 + 711289628150 x^14 + 239061007300 x^13 + 68794843050 x^12 + 16285796400 x^11 + 2912250341 x^10 + 293635660 x^9 - 24769155 x^8 - 18147080 x^7 - 4334640 x^6 - 792418 x^5 - 181390 x^4 - 47580 x^3 - 8780 x^2 - 840 x - 47)^1
---------------
p: x0^4 - 404 x0^2 + 39204
factors:
1
*(x^2 - 162)^1
*(x^2 - 242)^1
---------------
p: x0^25 - 31260 x0^20 + 383062540 x0^15 - 2590282000080 x0^10 + 7334282001000080 x0^5 - 9552011721875500032
factors:
1
*(x^5 - 15552)^1
*(x^20 - 15708 x^15 + 138771724 x^10 - 432104148432 x^5 + 614198284585616)^1
---------------
p: x0^25 - 3125 x0^21 - 15630 x0^20 + 3888750 x0^17 + 38684375 x0^16 + 95765635 x0^15 - 2489846500 x0^13 - 37650481875 x0^12 - 190548065625 x0^11 - 323785250010 x0^10 + 750249453025 x0^9 + 14962295699875 x0^8 + 111775113235000 x0^7 + 370399286731250 x0^6 + 362903064503129 x0^5 - 2387239013984400 x0^4 - 23872390139844000 x0^3 - 119361950699220000 x0^2 - 298404876748050000 x0 - 298500366308609376
factors:
1
*(x^5 - 1296 x - 7776)^1
*(x^20 - 1829 x^16 - 7854 x^15 + 1518366 x^12 + 14283287 x^11 + 34692931 x^10 - 522044164 x^8 - 7332527907 x^7 - 34519187337 x^6 - 54013018554 x^5 + 73680216481 x^4 + 1399924113139 x^3 + 10020509441416 x^2 + 31977213952754 x + 38387392786601)^1
---------------
p: - x0^27 + 54 x0^24 - 324 x0^21 + 17496 x0^18 - 34992 x0^15 + 1889568 x0^12 - 1259712 x0^9 + 68024448 x0^6
factors:
-1
*(x^3 - 54)^1
*(x^6 + 108)^3
*(x)^6
---------------
p: x0^27 - 648 x0^24 + 105300 x0^21 - 3639168 x0^18 - 521485776 x0^15 - 40761760896 x0^12 - 8435982634560 x0^9 - 326907538633728 x0^6 - 904871002816512 x0^3 - 34835065137266688
factors:
1
*(x^3 - 432)^1
*(x^6 + 6912)^1
*(x^6 - 324 x^3 + 37044)^1
*(x^6 + 108)^1
*(x^3 + 54)^2
---------------
p: x0^54 - 54 x0^52 - 1296 x0^51 + 1404 x0^50 + 607104 x0^48 - 1057536 x0^47 - 22401792 x0^46 - 131347008 x0^45 + 385174656 x0^44 + 4556424960 x0^43 + 10518648048 x0^42 + 54432 x0^49 - 69060148992 x0^41 - 565617303648 x0^40 + 445518434304 x0^39 + 8781044678784 x0^38 + 32843377234944 x0^37 - 131307918402048 x0^36 - 1186720516915200 x0^35 + 736520460602112 x0^34 + 18979903288608768 x0^33 - 112345961528001024 x0^32 + 1270197317039357952 x0^31 - 1541064534072996096 x0^30 + 16614053352447639552 x0^29 - 64121868468546937344 x0^28 - 441603923048400752640 x0^27 + 3907490603726606515200 x0^26 - 9940058828597411831808 x0^25 + 37842357616860755976192 x0^24 - 207493394698593727119360 x0^23 + 7974899726119384485888 x0^22 + 2119713138903354441449472 x0^21 - 1236506243331227840225280 x0^20 + 15633879365645789187538944 x0^19 + 135073233715906678961491968 x0^18 - 283501898470995378000297984 x0^17 - 103789476798964165693218816 x0^16 + 2149475050405063712005816320 x0^15 + 11401046311106270759794900992 x0^14 - 42594459367486176885626634240 x0^13 + 144038627307565998906953170944 x0^12 + 51604015948240925730371272704 x0^11 - 250947536887982891503528574976 x0^10 + 3480976544954551737609272426496 x0^9 + 10434520207534987392729183682560 x0^8 + 42130058836708565940278805921792 x0^7 + 28392667475502927445585073012736 x0^6 + 292548838778373337946194100355072 x0^5 + 732626185252271205256762862075904 x0^4 + 490660485015010178556685461749760 x0^3 + 1356203807400073270301299496189952 x0^2 + 436594705270365747351637721088000 x0 + 1395158047392035876769798396313600
factors:
1
*(x^6 - 6 x^4 - 864 x^3 + 12 x^2 - 5184 x + 186616)^1
*(x^12 - 12 x^10 + 60 x^8 + 56 x^6 + 6720 x^4 + 12768 x^2 + 13456)^1
*(x^12 - 12 x^10 - 648 x^9 + 60 x^8 + 178904 x^6 + 15552 x^5 + 1593024 x^4 - 24045984 x^3 + 5704800 x^2 - 143995968 x + 1372010896)^1
*(x^12 - 12 x^10 + 60 x^8 + 13664 x^6 + 414960 x^4 + 829248 x^2 + 47886400)^1
*(x^6 - 6 x^4 + 108 x^3 + 12 x^2 + 648 x + 2908)^2
---------------
p: x0^2 + x0
q: x0
r: 0
---------------
p: x0^2 + x0 + 1
q: x0
r: 1
---------------
p: x0^2 + 2 x0 + 1
q: 2 x0 + 2
r: 0
------
p1: x^3 - 6 x^2 + 11 x - 6
p2: x^2 - 3 x + 2
r:  x - 3
expected:  x - 3
------
p1: 2 x^3 - 12 x^2 + 22 x - 12
p2: x^2 - 3 x + 2
r:  2 x - 6
expected:  2 x - 6
------
p1: 2 x^3 - 12 x^2 + 22 x - 12
p2: x^3 - 7 x^2 + 14 x - 8
------
p1: x - 3
p2: x - 1
------
p1: 0
p2: x^3 - 7 x^2 + 14 x - 8
r:  0
expected:  0
------
p1: x^3 - 7 x^2 + 14 x - 8
p2: 0
------
p1: 0
p2: 0
------
p1: 2 x - 2
p2: x - 1
r:  2
expected:  2
------
p1: 2 x - 2
p2: 4 x - 4
------
p1: 6 x - 4
p2: 2
r:  3 x - 2
expected:  3 x - 2
isolating roots of: x^70 - 6 x^65 - x^60 + 60 x^55 - 54 x^50 - 230 x^45 + 274 x^40 + 542 x^35 - 615 x^30 - 1120 x^25 + 1500 x^20 - 160 x^15 - 395 x^10 + 76 x^5 + 34
(isolate time :time 0.03 :before-memory 1465.99 :after-memory 1466.13)
(sturm time :time 0.00 :before-memory 1466.13 :after-memory 1466.14)
square free part: x^70 - 6 x^65 - x^60 + 60 x^55 - 54 x^50 - 230 x^45 + 274 x^40 + 542 x^35 - 615 x^30 - 1120 x^25 + 1500 x^20 - 160 x^15 - 395 x^10 + 76 x^5 + 34
(sqf time :time 0.00 :before-memory 1466.14 :after-memory 1466.14)
(fourier time :time 0.00 :before-memory 1466.14 :after-memory 1466.16)
num. roots: 6
sign var(-oo): 16
sign var(+oo): 10
roots:
intervals: (1.25, 1.5) (1.203125, 1.21875) (1.1875, 1.203125) (0, 1) (-0.875, -0.8125) (-0.8125, -0.75)(interval check :time 0.03 :before-memory 1466.16 :after-memory 1466.29)

isolating roots of: x^2 - 3 x + 2
(isolate time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(sturm time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
square free part: x^2 - 3 x + 2
(sqf time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(fourier time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 2
intervals: (0, 2)(interval check :time 0.00 :before-memory 1465.89 :after-memory 1465.89)

isolating roots of: x^5 - 2 x^4 + x^3
(isolate time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(sturm time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
square free part: x^2 - x
(sqf time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(fourier time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 0
intervals: (0, 4)(interval check :time 0.00 :before-memory 1465.89 :after-memory 1465.89)

isolating roots of: x^5 - x - 1
(isolate time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(sturm time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
square free part: x^5 - x - 1
(sqf time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(fourier time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
num. roots: 1
sign var(-oo): 2
sign var(+oo): 1
roots:
intervals: (0, 4)(interval check :time 0.00 :before-memory 1465.89 :after-memory 1465.89)

isolating roots of: x^6 - x^5 - 16 x^4 + 10 x^3 + 69 x^2 - 9 x - 54
(isolate time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(sturm time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18
(sqf time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(fourier time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
num. roots: 5
sign var(-oo): 5
sign var(+oo): 0
roots: -2
intervals: (2, 4) (0, 2) (-4, -2) (-2, 0)(interval check :time 0.00 :before-memory 1465.91 :after-memory 1465.91)

isolating roots of: 100000000 x^2 - 630000 x + 992
(isolate time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(sturm time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
square free part: 100000000 x^2 - 630000 x + 992
(sqf time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(fourier time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots:
intervals: (0.0031738281?, 0.0034179687?) (0.0029296875, 0.0031738281?)(interval check :time 0.00 :before-memory 1465.91 :after-memory 1465.91)

isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(isolate time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(sturm time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(sqf time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(fourier time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
num. roots: 3
sign var(-oo): 3
sign var(+oo): 0
roots:
intervals: (0.0032958984?, 0.0034179687?) (0.0031738281?, 0.0032958984?) (0.0029296875, 0.0031738281?)(interval check :time 0.00 :before-memory 1465.91 :after-memory 1465.91)

isolating roots of: 1000 x^11 - 1167 x^10 - 2000 x^6 + 2334 x^5 - 1000 x^3 + 1167 x^2 + 1000 x - 1167
(isolate time :time 0.00 :before-memory 1465.92 :after-memory 1465.92)
(sturm time :time 0.00 :before-memory 1465.92 :after-memory 1466.01)
square free part: 1000 x^11 - 1167 x^10 - 2000 x^6 + 2334 x^5 - 1000 x^3 + 1167 x^2 + 1000 x - 1167
(sqf time :time 0.00 :before-memory 1466.01 :after-memory 1466.01)
(fourier time :time 0.00 :before-memory 1466.01 :after-memory 1466.02)
num. roots: 3
sign var(-oo): 6
sign var(+oo): 3
roots:
intervals: (1.1672363281?, 1.1674804687?) (1.1669921875, 1.1672363281?) (0, 1)(interval check :time 0.00 :before-memory 1466.02 :after-memory 1466.04)

isolating roots of: 32768 x^11 - 4160512 x^10 + 174665408 x^9 - 3092100952 x^8 + 24729859214 x^7 - 89699170501 x^6 + 140975222734 x^5 - 87882836696 x^4 + 23405003968 x^3 - 2729126912 x^2 + 132087808 x - 2097152
(isolate time :time 0.00 :before-memory 1466.07 :after-memory 1466.08)
(sturm time :time 0.00 :before-memory 1466.08 :after-memory 1466.08)
square free part: 32768 x^11 - 4160512 x^10 + 174665408 x^9 - 3092100952 x^8 + 24729859214 x^7 - 89699170501 x^6 + 140975222734 x^5 - 87882836696 x^4 + 23405003968 x^3 - 2729126912 x^2 + 132087808 x - 2097152
(sqf time :time 0.00 :before-memory 1466.08 :after-memory 1466.08)
(fourier time :time 0.00 :before-memory 1466.08 :after-memory 1466.08)
num. roots: 11
sign var(-oo): 11
sign var(+oo): 0
roots: 64 32 16 8 4 2 0.5 0.25 0.125 0.0625
intervals: (0, 0.0625)(interval check :time 0.00 :before-memory 1466.08 :after-memory 1466.08)

isolating roots of: 1000000 x^22 - 2334000 x^21 + 1361889 x^20 - 4000000 x^17 + 9336000 x^16 - 5447556 x^15 - 2000000 x^14 + 4668000 x^13 + 3276222 x^12 - 14004000 x^11 + 8171334 x^10 + 4000000 x^9 - 9336000 x^8 + 1447556 x^7 + 10336000 x^6 - 7781556 x^5 - 638111 x^4 + 4668000 x^3 - 1723778 x^2 - 2334000 x + 1361889
(isolate time :time 0.00 :before-memory 1466.09 :after-memory 1466.09)
(sturm time :time 0.00 :before-memory 1466.09 :after-memory 1466.11)
square free part: 1000 x^11 - 1167 x^10 - 2000 x^6 + 2334 x^5 - 1000 x^3 + 1167 x^2 + 1000 x - 1167
(sqf time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(fourier time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
num. roots: 3
sign var(-oo): 6
sign var(+oo): 3
roots:
intervals: (1.1672363281?, 1.1674804687?) (1.1669921875, 1.1672363281?) (0, 1)(interval check :time 0.00 :before-memory 1466.11 :after-memory 1466.11)

isolating roots of: x^17 + 5 x^16 + 3 x^15 + 10 x^13 + 13 x^10 + x^9 + 8 x^5 + 3 x^2 + 7
(isolate time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(sturm time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
square free part: x^17 + 5 x^16 + 3 x^15 + 10 x^13 + 13 x^10 + x^9 + 8 x^5 + 3 x^2 + 7
(sqf time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(fourier time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
num. roots: 3
sign var(-oo): 10
sign var(+oo): 7
roots:
intervals: (-8, -4) (-2, -1.5) (-1.5, -1)(interval check :time 0.00 :before-memory 1466.11 :after-memory 1466.11)

isolating roots of: x^33 + 5 x^32 + 3 x^31 - 4 x^30 - 12 x^29 - 24 x^28 - 12 x^27 - 5 x^26 + 42 x^25 + 51 x^24 + 18 x^23 + 9 x^22 - 19 x^21 - 10 x^20 - 2 x^19 - 8 x^18 - 5 x^17 - 94 x^16 - 91 x^15 + 22 x^14 + 18 x^13 + 62 x^12 + 62 x^11 + 19 x^10 + 2 x^9 + 10 x^8 + 10 x^7 - 9 x^6 - 64 x^5 - 44 x^4 - 4 x^3 + 40 x^2 + 56 x + 28
(isolate time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(sturm time :time 0.01 :before-memory 1466.11 :after-memory 1466.16)
square free part: x^25 + 5 x^24 + 3 x^23 - 2 x^22 - x^21 - 12 x^20 - 8 x^19 - 8 x^18 + 3 x^17 + 6 x^16 - 20 x^15 + 5 x^14 + 14 x^13 - x^12 + 26 x^11 + 15 x^10 - 6 x^9 - x^8 - 6 x^7 + 13 x^6 - x^5 - 7 x^4 - x^3 + 6 x^2 + 14 x + 14
(sqf time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
(fourier time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
num. roots: 5
sign var(-oo): 15
sign var(+oo): 10
roots:
intervals: (1.25, 1.5) (1, 1.25) (-8, -4) (-2, -1.5) (-1.5, -1)(interval check :time 0.00 :before-memory 1466.16 :after-memory 1466.16)

isolating roots of: 900 x^19 - 6000113760 x^18 + 10000758403594816 x^17 - 1264023965440000000 x^16 + 39942400000000000000 x^15 - 2700000000000 x^14 + 18000341280000000000 x^13 - 30002275210784448000000000 x^12 + 3792071896320000000000000000 x^11 - 119827200000000000000000000000 x^10 + 2700000000000000000000 x^9 - 18000341280000000000000000000 x^8 + 30002275210784448000000000000000000 x^7 - 3792071896320000000000000000000000000 x^6 + 119827200000000000000000000000000000000 x^5 - 900000000000000000000000000000 x^4 + 6000113760000000000000000000000000000 x^3 - 10000758403594816000000000000000000000000000 x^2 + 1264023965440000000000000000000000000000000000 x - 39942400000000000000000000000000000000000000000
(isolate time :time 0.01 :before-memory 1466.15 :after-memory 1466.16)
(sturm time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
square free part: 15 x^7 - 50000948 x^6 + 3160000000 x^5 - 15000000000 x^2 + 50000948000000000 x - 3160000000000000000
(sqf time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
(fourier time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
num. roots: 3
sign var(-oo): 5
sign var(+oo): 2
roots:
intervals: (2097152, 4194304) (63.125, 63.25) (63, 63.125)(interval check :time 0.00 :before-memory 1466.16 :after-memory 1466.16)

upolynomial sturm seq...
x^16 - 136 x^14 + 6476 x^12 - 141912 x^10 + 1513334 x^8 - 7453176 x^6 + 13950764 x^4 - 5596840 x^2 + 46225
16 x^31 - 3184 x^29 + 266896 x^27 - 12504176 x^25 + 365186736 x^23 - 7016366800 x^21 + 91296632240 x^19 - 816781071440 x^17 + 5048153319680 x^15 - 21441099366400 x^13 + 61546497478656 x^11 - 115751532406784 x^9 + 135609801916416 x^7 - 91405602717696 x^5 + 30893429293056 x^3 - 3713794375680 x
-1 x^16 + 136 x^14 - 6476 x^12 + 141912 x^10 - 1513334 x^8 + 7453176 x^6 - 13950764 x^4 + 5596840 x^2 - 46225
-1127661677367 x^15 + 80685790700977 x^13 - 2102726493398207 x^11 + 24514705741043569 x^9 - 126650346236335533 x^7 + 242589935638940027 x^5 - 97920676059890653 x^3 + 808873659526115 x
-14535239484187 x^14 + 1040002105846097 x^12 - 27102803643492427 x^10 + 315975682124035209 x^8 - 1632414202846505513 x^6 + 3126764251346253547 x^4 - 1262106621739038833 x^2 + 10425232207257915
-167716660671508667641 x^13 + 8401333185842706888530 x^11 - 134511192706723391471287 x^9 + 821751607340566559868924 x^7 - 1705905612159036016144823 x^5 + 712068977650176642124114 x^3 - 10375158858866309689337 x
-46388284262096386474101 x^12 + 2297177756962323065528714 x^10 - 36402788774274131831901243 x^8 + 220799657664499131685981196 x^6 - 455864002600254932618175227 x^4 + 187578869474987904058942602 x^2 - 1550540527908097632341045
-4781966315926860973699105567 x^11 + 144464930716069568218159788243 x^9 - 1169427211740981342868979217166 x^7 + 2878829227828597116284471589262 x^5 - 1689381939540688922079704055699 x^3 + 237821093214524613444114401119 x
-5108074971655853552979774902899 x^10 + 142894793305009146385089605918283 x^8 - 1099846101471960685926906955737574 x^6 + 2506082302169705625991475997146542 x^4 - 1056500552045609715416888450812743 x^2 + 8841855718148765940369646193383
-98120336193551253677921935999799283 x^9 + 1282821860598696804541403875934437348 x^7 - 4888580553822740399599176292389184402 x^5 + 6426442235002716205008267522870828260 x^3 - 2106362515913203012578123667196293235 x
-1561728884476847525112813341042616474011 x^8 + 17345591286879038944880672380421451809732 x^6 - 44557170670678936833666488386470071966338 x^4 + 19428144317367539496215506533408444604612 x^2 - 181424501621876268050477659663628874267
-48718567339545057971709193441047126509 x^7 + 527268188685058585740868192019254318421 x^5 - 1313868868153889289084379514485509676183 x^3 + 528737651333486566371183339800760756103 x
-220162280897461356833414966265382012563279 x^6 + 1211314214555794584950776751645547954082463 x^4 - 1230799847361844990126616667707906905070125 x^2 + 90080631010818812189690298672496136915141
-4567940256921478185902666831705495050259 x^5 + 18353182476718620132475356289264733969914 x^3 - 8965983880068785028294729109994152212011 x
-16568849839314393995007704109417733998971 x^4 + 40499812984358514784159551770437344409066 x^2 - 4567940256921478185902666831705495050259
-211307826015503935324666261 x^3 + 226566446302093673740485799 x
-1051673563609695326877268183 x^2 + 211307826015503935324666261
-1 x
-1

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (1/3, 7/5) (0.3333333333?, 1.4)
after (1/2, 21/2^4) (0.5, 1.3125)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (1/2, 7/5) (0.5, 1.4)
after (1/2, 21/2^4) (0.5, 1.3125)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (3/7, 3/2) (0.4285714285?, 1.5)
after (3/2^2, 3/2) (0.75, 1.5)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (0, 3/2) (0, 1.5)
after (0, 3/2) (0, 1.5)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (0, 23/21) (0, 1.0952380952?)
after (0, 69/2^6) (0, 1.078125)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (7/2, 5) (3.5, 5)
after (7/2, 5) (3.5, 5)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (999/1000, 1001/1000) (0.999, 1.001)
after (1047951/2^20, 524475/2^19) (0.9994039535?, 1.0003566741?)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (9999/10000, 10001/10000) (0.9999, 1.0001)
after (67103289/2^26, 8389161/2^23) (0.9999169260?, 1.0000659227?)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (39999/10000, 40001/10000) (3.9999, 4.0001)
after (268433289/2^26, 1073746843/2^28) (3.9999677091?, 4.0000186972?)
p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
q: 81 x^4 - 702 x^3 + 2079 x^2 - 2418 x + 880
p: 24 x^4 - 50 x^3 + 35 x^2 - 10 x + 1

Refining intervals
p: x0^5 - x0 - 1
before (1, 2)
new (2448013/2^21, 1224007/2^20)
as decimal: 1.16730356216430664062?
p: x0^2 - 2
before (1, 2)
new (1136276788042180458070828951474823657989790988021617205464301/2^199, 4545107152168721832283315805899294631959163952086468821857205/2^201)
as decimal: 1.4142135623730950488016887242096980785696718753769480731766796228945468916789744311432405157464679368195737862332593934694025131023094144793931710987557973124330301661899511600495316088199615478515625

Refinable intervals
p: 4 x0^3 - 27 x0^2 + 56 x0 - 33
before (1, 3)
new root: 11/2^2
before (2, 3)
new root: 11/2^2
before (5/2, 3)
new root: 11/2^2
p: 5 x0^3 - 31 x0^2 + 59 x0 - 33
before (1, 3)
new (2, 5/2)
before (2, 3)
new (2, 5/2)
before (3/2, 3)
new (3/2, 9/2^2)
before (1, 5/2)
new (7/2^2, 5/2)
before (3/2, 5/2)
new (3/2, 5/2)
p: x0^3 - 6 x0^2 + 11 x0 - 6
before (1, 3)
new root: 2

Sturm Seq
upolynomial sturm seq...
7 x^10 + 3 x^9 + x^8 + x^6 + 10 x^4 + 10 x^3 + 8 x^2 + 2 x + 8
70 x^9 + 27 x^8 + 8 x^7 + 6 x^5 + 40 x^3 + 30 x^2 + 16 x + 2
-59 x^8 + 24 x^7 - 280 x^6 + 18 x^5 - 4200 x^4 - 4780 x^3 - 4390 x^2 - 1212 x - 5594
1500 x^7 + 1203 x^6 + 24666 x^5 + 47840 x^4 + 48052 x^3 + 27528 x^2 + 38592 x + 26146
-136383 x^6 - 156626 x^5 + 987760 x^4 + 1288828 x^3 + 900792 x^2 + 434888 x + 1473094
-447977461 x^5 - 722331988 x^4 - 657814810 x^3 - 358104882 x^2 - 658907000 x - 254616997
-35151054357362 x^4 - 42237581647498 x^3 - 34012218049812 x^2 - 13572653161293 x - 46516612622356
32579335587662 x^3 + 71643021991321 x^2 - 50595120825621 x + 112457692722850
2904057856460384409 x^2 - 2842891454868987857 x + 2936283658205629262
-2803684606075989760487 x - 1222930252896030111592
-1
_p: 4 x^3 - 12 x^2 - x + 3
_r: 16 x^2 - 40 x - 24
_q: 16 x^2 - 40 x - 24
isolating roots of: x^2 - 3 x + 2
(isolate time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(sturm time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
square free part: x^2 - 3 x + 2
(sqf time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(fourier time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 2
intervals: (0, 2)(interval check :time 0.00 :before-memory 1465.89 :after-memory 1465.89)

isolating roots of: x^5 - 2 x^4 + x^3
(isolate time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(sturm time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
square free part: x^2 - x
(sqf time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(fourier time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 0
intervals: (0, 4)(interval check :time 0.00 :before-memory 1465.89 :after-memory 1465.89)

isolating roots of: x^5 - x - 1
(isolate time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(sturm time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
square free part: x^5 - x - 1
(sqf time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(fourier time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
num. roots: 1
sign var(-oo): 2
sign var(+oo): 1
roots:
intervals: (0, 4)(interval check :time 0.00 :before-memory 1465.89 :after-memory 1465.89)

isolating roots of: x^6 - x^5 - 16 x^4 + 10 x^3 + 69 x^2 - 9 x - 54
(isolate time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(sturm time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18
(sqf time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(fourier time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
num. roots: 5
sign var(-oo): 5
sign var(+oo): 0
roots: -2
intervals: (2, 4) (0, 2) (-4, -2) (-2, 0)(interval check :time 0.00 :before-memory 1465.91 :after-memory 1465.91)

isolating roots of: 100000000 x^2 - 630000 x + 992
(isolate time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(sturm time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
square free part: 100000000 x^2 - 630000 x + 992
(sqf time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(fourier time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots:
intervals: (0.0031738281?, 0.0034179687?) (0.0029296875, 0.0031738281?)(interval check :time 0.00 :before-memory 1465.91 :after-memory 1465.91)

isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(isolate time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(sturm time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(sqf time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(fourier time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
num. roots: 3
sign var(-oo): 3
sign var(+oo): 0
roots:
intervals: (0.0032958984?, 0.0034179687?) (0.0031738281?, 0.0032958984?) (0.0029296875, 0.0031738281?)(interval check :time 0.00 :before-memory 1465.91 :after-memory 1465.91)

isolating roots of: 1000 x^11 - 1167 x^10 - 2000 x^6 + 2334 x^5 - 1000 x^3 + 1167 x^2 + 1000 x - 1167
(isolate time :time 0.00 :before-memory 1465.92 :after-memory 1465.92)
(sturm time :time 0.00 :before-memory 1465.92 :after-memory 1466.01)
square free part: 1000 x^11 - 1167 x^10 - 2000 x^6 + 2334 x^5 - 1000 x^3 + 1167 x^2 + 1000 x - 1167
(sqf time :time 0.00 :before-memory 1466.01 :after-memory 1466.01)
(fourier time :time 0.00 :before-memory 1466.01 :after-memory 1466.02)
num. roots: 3
sign var(-oo): 6
sign var(+oo): 3
roots:
intervals: (1.1672363281?, 1.1674804687?) (1.1669921875, 1.1672363281?) (0, 1)(interval check :time 0.00 :before-memory 1466.02 :after-memory 1466.04)

isolating roots of: 32768 x^11 - 4160512 x^10 + 174665408 x^9 - 3092100952 x^8 + 24729859214 x^7 - 89699170501 x^6 + 140975222734 x^5 - 87882836696 x^4 + 23405003968 x^3 - 2729126912 x^2 + 132087808 x - 2097152
(isolate time :time 0.00 :before-memory 1466.07 :after-memory 1466.08)
(sturm time :time 0.00 :before-memory 1466.08 :after-memory 1466.08)
square free part: 32768 x^11 - 4160512 x^10 + 174665408 x^9 - 3092100952 x^8 + 24729859214 x^7 - 89699170501 x^6 + 140975222734 x^5 - 87882836696 x^4 + 23405003968 x^3 - 2729126912 x^2 + 132087808 x - 2097152
(sqf time :time 0.00 :before-memory 1466.08 :after-memory 1466.08)
(fourier time :time 0.00 :before-memory 1466.08 :after-memory 1466.08)
num. roots: 11
sign var(-oo): 11
sign var(+oo): 0
roots: 64 32 16 8 4 2 0.5 0.25 0.125 0.0625
intervals: (0, 0.0625)(interval check :time 0.00 :before-memory 1466.08 :after-memory 1466.08)

isolating roots of: 1000000 x^22 - 2334000 x^21 + 1361889 x^20 - 4000000 x^17 + 9336000 x^16 - 5447556 x^15 - 2000000 x^14 + 4668000 x^13 + 3276222 x^12 - 14004000 x^11 + 8171334 x^10 + 4000000 x^9 - 9336000 x^8 + 1447556 x^7 + 10336000 x^6 - 7781556 x^5 - 638111 x^4 + 4668000 x^3 - 1723778 x^2 - 2334000 x + 1361889
(isolate time :time 0.00 :before-memory 1466.09 :after-memory 1466.09)
(sturm time :time 0.00 :before-memory 1466.09 :after-memory 1466.11)
square free part: 1000 x^11 - 1167 x^10 - 2000 x^6 + 2334 x^5 - 1000 x^3 + 1167 x^2 + 1000 x - 1167
(sqf time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(fourier time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
num. roots: 3
sign var(-oo): 6
sign var(+oo): 3
roots:
intervals: (1.1672363281?, 1.1674804687?) (1.1669921875, 1.1672363281?) (0, 1)(interval check :time 0.00 :before-memory 1466.11 :after-memory 1466.11)

isolating roots of: x^17 + 5 x^16 + 3 x^15 + 10 x^13 + 13 x^10 + x^9 + 8 x^5 + 3 x^2 + 7
(isolate time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(sturm time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
square free part: x^17 + 5 x^16 + 3 x^15 + 10 x^13 + 13 x^10 + x^9 + 8 x^5 + 3 x^2 + 7
(sqf time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(fourier time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
num. roots: 3
sign var(-oo): 10
sign var(+oo): 7
roots:
intervals: (-8, -4) (-2, -1.5) (-1.5, -1)(interval check :time 0.00 :before-memory 1466.11 :after-memory 1466.11)

isolating roots of: x^33 + 5 x^32 + 3 x^31 - 4 x^30 - 12 x^29 - 24 x^28 - 12 x^27 - 5 x^26 + 42 x^25 + 51 x^24 + 18 x^23 + 9 x^22 - 19 x^21 - 10 x^20 - 2 x^19 - 8 x^18 - 5 x^17 - 94 x^16 - 91 x^15 + 22 x^14 + 18 x^13 + 62 x^12 + 62 x^11 + 19 x^10 + 2 x^9 + 10 x^8 + 10 x^7 - 9 x^6 - 64 x^5 - 44 x^4 - 4 x^3 + 40 x^2 + 56 x + 28
(isolate time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(sturm time :time 0.01 :before-memory 1466.11 :after-memory 1466.16)
square free part: x^25 + 5 x^24 + 3 x^23 - 2 x^22 - x^21 - 12 x^20 - 8 x^19 - 8 x^18 + 3 x^17 + 6 x^16 - 20 x^15 + 5 x^14 + 14 x^13 - x^12 + 26 x^11 + 15 x^10 - 6 x^9 - x^8 - 6 x^7 + 13 x^6 - x^5 - 7 x^4 - x^3 + 6 x^2 + 14 x + 14
(sqf time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
(fourier time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
num. roots: 5
sign var(-oo): 15
sign var(+oo): 10
roots:
intervals: (1.25, 1.5) (1, 1.25) (-8, -4) (-2, -1.5) (-1.5, -1)(interval check :time 0.00 :before-memory 1466.16 :after-memory 1466.16)

isolating roots of: 900 x^19 - 6000113760 x^18 + 10000758403594816 x^17 - 1264023965440000000 x^16 + 39942400000000000000 x^15 - 2700000000000 x^14 + 18000341280000000000 x^13 - 30002275210784448000000000 x^12 + 3792071896320000000000000000 x^11 - 119827200000000000000000000000 x^10 + 2700000000000000000000 x^9 - 18000341280000000000000000000 x^8 + 30002275210784448000000000000000000 x^7 - 3792071896320000000000000000000000000 x^6 + 119827200000000000000000000000000000000 x^5 - 900000000000000000000000000000 x^4 + 6000113760000000000000000000000000000 x^3 - 10000758403594816000000000000000000000000000 x^2 + 1264023965440000000000000000000000000000000000 x - 39942400000000000000000000000000000000000000000
(isolate time :time 0.01 :before-memory 1466.15 :after-memory 1466.16)
(sturm time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
square free part: 15 x^7 - 50000948 x^6 + 3160000000 x^5 - 15000000000 x^2 + 50000948000000000 x - 3160000000000000000
(sqf time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
(fourier time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
num. roots: 3
sign var(-oo): 5
sign var(+oo): 2
roots:
intervals: (2097152, 4194304) (63.125, 63.25) (63, 63.125)(interval check :time 0.00 :before-memory 1466.16 :after-memory 1466.16)

p: x0^5 + 2 x0^4 - 10 x0^3 - 20 x0^2 + 9 x0 + 18
q: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18
degree(q): 5
expanded q: 18 9 -20 -10 2 1 
new q: 2 x^5 + 3 x^4 - 9 x^3 - 19 x^2 + 10 x + 19
new q^2: 4 x^10 + 12 x^9 - 27 x^8 - 130 x^7 + 7 x^6 + 478 x^5 + 295 x^4 - 722 x^3 - 622 x^2 + 380 x + 361
new (q^2)^3: 64 x^30 + 576 x^29 + 432 x^28 - 12288 x^27 - 40020 x^26 + 79284 x^25 + 586149 x^24 + 235698 x^23 - 4140627 x^22 - 6895030 x^21 + 15251184 x^20 + 49873788 x^19 - 16794929 x^18 - 201145074 x^17 - 108039945 x^16 + 499210576 x^15 + 614825733 x^14 - 724261014 x^13 - 1616514344 x^12 + 376952670 x^11 + 2580727584 x^10 + 671496040 x^9 - 2571049230 x^8 - 1605401010 x^7 + 1474343885 x^6 + 1530682218 x^5 - 329384703 x^4 - 739359046 x^3 - 86793786 x^2 + 148565940 x + 47045881


Testing Z_p
GCD in Z[x]
_p:  x^4 + 2 x^3 + 2 x^2 + x
_q:  x^3 + x + 1
gcd: 1
_p:  x^4 + 2 x^3 + 2 x^2 + x
_q:  x^3 + x + 1
subresultant_gcd: 1
GCD in Z_3[x]
_p:  x^4 - x^3 - x^2 + x
_q:  x^3 + x + 1
gcd: x - 1
_p:  x^4 - x^3 - x^2 + x
_q:  x^3 + x + 1
subresultant_gcd: x - 1


Testing Z_p
GCD in Z[x]
_p:  x^8 + x^6 + 10 x^4 + 10 x^3 + 8 x^2 + 2 x + 8
_q:  x^6 + 5 x^5 + 9 x^4 + 5 x^2 + 5 x
gcd: 1
_p:  x^8 + x^6 + 10 x^4 + 10 x^3 + 8 x^2 + 2 x + 8
_q:  x^6 + 5 x^5 + 9 x^4 + 5 x^2 + 5 x
subresultant_gcd: 1
GCD in Z_13[x]
_p:  x^8 + x^6 - 3 x^4 - 3 x^3 - 5 x^2 + 2 x - 5
_q:  x^6 + 5 x^5 - 4 x^4 + 5 x^2 + 5 x
gcd: x^5 + 5 x^4 - 4 x^3 + 5 x + 5
_p:  x^8 + x^6 - 3 x^4 - 3 x^3 - 5 x^2 + 2 x - 5
_q:  x^6 + 5 x^5 - 4 x^4 + 5 x^2 + 5 x
subresultant_gcd: x^5 + 5 x^4 - 4 x^3 + 5 x + 5

Extended GCD
GCD in Z_13[x]
A: x^6 + 5 x^5 - 4 x^4 + 5 x^2 + 5 x
B: x^8 + x^6 - 3 x^4 - 3 x^3 - 5 x^2 + 2 x - 5
U: x^2 - 5 x + 4
V: -1
D: x^5 + 5 x^4 - 4 x^3 + 5 x + 5

Extended GCD in Z_7
GCD in Z_7[x]
A: x^3 + 2
B: -1 x^2 - 1
U: 3 x - 1
V: 3 x^2 - x - 3
D: 1
PASS
(test upolynomial :time 3.10 :before-memory 1465.83 :after-memory 1465.83)


Testing GCD
_p:  13 x^18 - 1560 x^17 + 86931 x^16 - 2987504 x^15 + 70923060 x^14 - 1234660752 x^13 + 16329634620 x^12 - 167746338864 x^11 + 1356661565766 x^10 - 8703145006400 x^9 + 44396368299114 x^8 - 179697656333520 x^7 + 572988784985188 x^6 - 1420294907137392 x^5 + 2677652713464300 x^4 - 3706435590858000 x^3 + 3548919735343125 x^2 - 2098635449625000 x + 577124748646875
_q:  234 x^17 - 26520 x^16 + 1390896 x^15 - 44812560 x^14 + 992922840 x^13 - 16050589776 x^12 + 195955615440 x^11 - 1845209727504 x^10 + 13566615657660 x^9 - 78328305057600 x^8 + 355170946392912 x^7 - 1257883594334640 x^6 + 3437932709911128 x^5 - 7101474535686960 x^4 + 10710610853857200 x^3 - 11119306772574000 x^2 + 7097839470686250 x - 2098635449625000
gcd: 13 x^15 - 1313 x^14 + 60645 x^13 - 1697865 x^12 + 32200545 x^11 - 437963877 x^10 + 4411517097 x^9 - 33504144765 x^8 + 193432514535 x^7 - 849099998435 x^6 + 2811735445519 x^5 - 6901018131579 x^4 + 12159189854955 x^3 - 14529083829975 x^2 + 10535573923875 x - 3497725749375
_p:  13 x^18 - 1560 x^17 + 86931 x^16 - 2987504 x^15 + 70923060 x^14 - 1234660752 x^13 + 16329634620 x^12 - 167746338864 x^11 + 1356661565766 x^10 - 8703145006400 x^9 + 44396368299114 x^8 - 179697656333520 x^7 + 572988784985188 x^6 - 1420294907137392 x^5 + 2677652713464300 x^4 - 3706435590858000 x^3 + 3548919735343125 x^2 - 2098635449625000 x + 577124748646875
_q:  234 x^17 - 26520 x^16 + 1390896 x^15 - 44812560 x^14 + 992922840 x^13 - 16050589776 x^12 + 195955615440 x^11 - 1845209727504 x^10 + 13566615657660 x^9 - 78328305057600 x^8 + 355170946392912 x^7 - 1257883594334640 x^6 + 3437932709911128 x^5 - 7101474535686960 x^4 + 10710610853857200 x^3 - 11119306772574000 x^2 + 7097839470686250 x - 2098635449625000
subresultant_gcd: x^15 - 101 x^14 + 4665 x^13 - 130605 x^12 + 2476965 x^11 - 33689529 x^10 + 339347469 x^9 - 2577241905 x^8 + 14879424195 x^7 - 65315384495 x^6 + 216287341963 x^5 - 530847548583 x^4 + 935322296535 x^3 - 1117621833075 x^2 + 810428763375 x - 269055826875
---------------
p: x0^2 - 2
_p: x^2 - 2
_p: x^2 - 2
k:  1
---------------
p: x0^5
_p: x^5
_p: x^5
k:  1
---------------
p: 64 x0^4 - 120 x0^3 + 70 x0^2 - 15 x0 + 1
_p: 64 x^4 - 120 x^3 + 70 x^2 - 15 x + 1
_p: 64 x^4 - 120 x^3 + 70 x^2 - 15 x + 1
k:  5
---------------
p: 1024 x0^5 - 1984 x0^4 + 1240 x0^3 - 310 x0^2 + 31 x0 - 1
_p: 1024 x^5 - 1984 x^4 + 1240 x^3 - 310 x^2 + 31 x - 1
_p: 1024 x^5 - 1984 x^4 + 1240 x^3 - 310 x^2 + 31 x - 1
k:  6
---------------
p: 1024 x0^8 - 1984 x0^7 + 1240 x0^6 - 310 x0^5 + 31 x0^4 - x0^3
_p: 1024 x^8 - 1984 x^7 + 1240 x^6 - 310 x^5 + 31 x^4 - x^3
_p: 1024 x^8 - 1984 x^7 + 1240 x^6 - 310 x^5 + 31 x^4 - x^3
k:  6
---------------
p: x0^5 - x0 - 1
_p: x^5 - x - 1
_p: x^5 - x - 1
k:  2
---------------
p: 1000 x0^2 - 1001 x0 + 1
_p: 1000 x^2 - 1001 x + 1
_p: 1000 x^2 - 1001 x + 1
k:  11
---------------
p: 1024 x0^5 + 704 x0^4 - 440 x0^3 - 110 x0^2 + 11 x0 + 1
_p: 1024 x^5 + 704 x^4 - 440 x^3 - 110 x^2 + 11 x + 1
_p: 1024 x^5 + 704 x^4 - 440 x^3 - 110 x^2 + 11 x + 1
k:  5
---------------
p: 1024 x0^5 + 1984 x0^4 + 1240 x0^3 + 310 x0^2 + 31 x0 + 1
_p: 1024 x^5 + 1984 x^4 + 1240 x^3 + 310 x^2 + 31 x + 1
_p: 1024 x^5 + 1984 x^4 + 1240 x^3 + 310 x^2 + 31 x + 1
k:  6
---------------
p: x0^10 - 10 x0^8 + 38 x0^6 - 2 x0^5 - 100 x0^4 - 40 x0^3 + 121 x0^2 - 38 x0 - 17
_p: x^10 - 10 x^8 + 38 x^6 - 2 x^5 - 100 x^4 - 40 x^3 + 121 x^2 - 38 x - 17
_p: x^10 - 10 x^8 + 38 x^6 - 2 x^5 - 100 x^4 - 40 x^3 + 121 x^2 - 38 x - 17
k:  3
---------------
p: x0^33 - 4 x0^30 - 12 x0^27 - 12 x0^29 - 5 x0^26 + 18 x0^23 - 24 x0^28 + 42 x0^25 + 9 x0^22 - 2 x0^19 + 51 x0^24 - 19 x0^21 - 8 x0^18 - 10 x0^20 - 5 x0^17 + 5 x0^32 - 94 x0^16 + 3 x0^31 - 91 x0^15 + 22 x0^14 + 18 x0^13 + 62 x0^12 + 62 x0^11 + 19 x0^10 + 2 x0^9 + 10 x0^7 - 9 x0^6 + 10 x0^8 - 64 x0^5 - 44 x0^4 - 4 x0^3 + 40 x0^2 + 56 x0 + 28
_p: x^33 + 5 x^32 + 3 x^31 - 4 x^30 - 12 x^29 - 24 x^28 - 12 x^27 - 5 x^26 + 42 x^25 + 51 x^24 + 18 x^23 + 9 x^22 - 19 x^21 - 10 x^20 - 2 x^19 - 8 x^18 - 5 x^17 - 94 x^16 - 91 x^15 + 22 x^14 + 18 x^13 + 62 x^12 + 62 x^11 + 19 x^10 + 2 x^9 + 10 x^8 + 10 x^7 - 9 x^6 - 64 x^5 - 44 x^4 - 4 x^3 + 40 x^2 + 56 x + 28
_p: x^33 + 5 x^32 + 3 x^31 - 4 x^30 - 12 x^29 - 24 x^28 - 12 x^27 - 5 x^26 + 42 x^25 + 51 x^24 + 18 x^23 + 9 x^22 - 19 x^21 - 10 x^20 - 2 x^19 - 8 x^18 - 5 x^17 - 94 x^16 - 91 x^15 + 22 x^14 + 18 x^13 + 62 x^12 + 62 x^11 + 19 x^10 + 2 x^9 + 10 x^8 + 10 x^7 - 9 x^6 - 64 x^5 - 44 x^4 - 4 x^3 + 40 x^2 + 56 x + 28
k:  3
---------------
p: 900 x0^19 - 6000113760 x0^18 + 10000758403594816 x0^17 - 1264023965440000000 x0^16 + 39942400000000000000 x0^15 - 2700000000000 x0^14 + 18000341280000000000 x0^13 - 30002275210784448000000000 x0^12 + 3792071896320000000000000000 x0^11 - 119827200000000000000000000000 x0^10 + 2700000000000000000000 x0^9 - 18000341280000000000000000000 x0^8 + 30002275210784448000000000000000000 x0^7 - 3792071896320000000000000000000000000 x0^6 + 119827200000000000000000000000000000000 x0^5 - 900000000000000000000000000000 x0^4 + 6000113760000000000000000000000000000 x0^3 - 10000758403594816000000000000000000000000000 x0^2 + 1264023965440000000000000000000000000000000000 x0 - 39942400000000000000000000000000000000000000000
_p: 900 x^19 - 6000113760 x^18 + 10000758403594816 x^17 - 1264023965440000000 x^16 + 39942400000000000000 x^15 - 2700000000000 x^14 + 18000341280000000000 x^13 - 30002275210784448000000000 x^12 + 3792071896320000000000000000 x^11 - 119827200000000000000000000000 x^10 + 2700000000000000000000 x^9 - 18000341280000000000000000000 x^8 + 30002275210784448000000000000000000 x^7 - 3792071896320000000000000000000000000 x^6 + 119827200000000000000000000000000000000 x^5 - 900000000000000000000000000000 x^4 + 6000113760000000000000000000000000000 x^3 - 10000758403594816000000000000000000000000000 x^2 + 1264023965440000000000000000000000000000000000 x - 39942400000000000000000000000000000000000000000
_p: 900 x^19 - 6000113760 x^18 + 10000758403594816 x^17 - 1264023965440000000 x^16 + 39942400000000000000 x^15 - 2700000000000 x^14 + 18000341280000000000 x^13 - 30002275210784448000000000 x^12 + 3792071896320000000000000000 x^11 - 119827200000000000000000000000 x^10 + 2700000000000000000000 x^9 - 18000341280000000000000000000 x^8 + 30002275210784448000000000000000000 x^7 - 3792071896320000000000000000000000000 x^6 + 119827200000000000000000000000000000000 x^5 - 900000000000000000000000000000 x^4 + 6000113760000000000000000000000000000 x^3 - 10000758403594816000000000000000000000000000 x^2 + 1264023965440000000000000000000000000000000000 x - 39942400000000000000000000000000000000000000000
k:  1
---------------
p: x0^4 + x0^2 - 20
factors:
1
*(x + 2)^1
*(x - 2)^1
*(x^2 + 5)^1
---------------
p: x0^4 + x0^2 - 20
factors:
1
*(x^4 + x^2 - 20)^1
---------------
p: x0^4 + x0^2 - 20
factors:
1
*(x + 2)^1
*(x - 2)^1
*(x^2 + 5)^1
---------------
p: x0^70 - 6 x0^65 - x0^60 + 60 x0^55 - 54 x0^50 - 230 x0^45 + 274 x0^40 + 542 x0^35 - 615 x0^30 - 1120 x0^25 + 1500 x0^20 - 160 x0^15 - 395 x0^10 + 76 x0^5 + 34
factors:
1
*(x^70 - 6 x^65 - x^60 + 60 x^55 - 54 x^50 - 230 x^45 + 274 x^40 + 542 x^35 - 615 x^30 - 1120 x^25 + 1500 x^20 - 160 x^15 - 395 x^10 + 76 x^5 + 34)^1
---------------
p: x0^70 - 6 x0^65 - x0^60 + 60 x0^55 - 54 x0^50 - 230 x0^45 + 274 x0^40 + 542 x0^35 - 615 x0^30 - 1120 x0^25 + 1500 x0^20 - 160 x0^15 - 395 x0^10 + 76 x0^5 + 34
factors:
1
*(x^10 - 2 x^5 - 1)^1
*(x^60 - 4 x^55 - 8 x^50 + 40 x^45 + 18 x^40 - 154 x^35 - 16 x^30 + 356 x^25 + 81 x^20 - 602 x^15 + 377 x^10 - 8 x^5 - 34)^1
---------------
p: x0^70 - 6 x0^65 - x0^60 + 60 x0^55 - 54 x0^50 - 230 x0^45 + 274 x0^40 + 542 x0^35 - 615 x0^30 - 1120 x0^25 + 1500 x0^20 - 160 x0^15 - 395 x0^10 + 76 x0^5 + 34
factors:
1
*(x^10 - 2 x^5 - 1)^1
*(x^50 - 10 x^40 + 38 x^30 - 2 x^25 - 100 x^20 - 40 x^15 + 121 x^10 - 38 x^5 - 17)^1
*(x^10 - 4 x^5 + 2)^1
---------------
p: x0^10 - 10 x0^8 + 38 x0^6 - 2 x0^5 - 100 x0^4 - 40 x0^3 + 121 x0^2 - 38 x0 - 17
factors:
1
*(x^10 - 10 x^8 + 38 x^6 - 2 x^5 - 100 x^4 - 40 x^3 + 121 x^2 - 38 x - 17)^1
---------------
p: x0^4 - 404 x0^2 + 39204
factors:
1
*(x^2 - 162)^1
*(x^2 - 242)^1
---------------
p: - x0^8 + 3 x0^7 - 5 x0^6 + 4 x0^5 - 3 x0^4 + 4 x0^3 - 5 x0 + 3
factors:
-1
*(x - 1)^1
*(x^2 - 2 x + 3)^1
*(x^5 - x^2 + 1)^1
---------------
p: x0^4 + x0^2 - 20
factors:
1
*(x + 2)^1
*(x - 2)^1
*(x^2 + 5)^1
---------------
p: 11 x0^8 - 33 x0^7 + 55 x0^6 - 44 x0^5 + 33 x0^4 - 44 x0^3 + 55 x0 - 33
factors:
11
*(x - 1)^1
*(x^2 - 2 x + 3)^1
*(x^5 - x^2 + 1)^1
---------------
p: - 2 x0^2 + x0 + 1
factors:
-1
*(x - 1)^1
*(2 x + 1)^1
---------------
p: 13 x0^18 - 1560 x0^17 + 86931 x0^16 - 2987504 x0^15 + 70923060 x0^14 - 1234660752 x0^13 + 16329634620 x0^12 - 167746338864 x0^11 + 1356661565766 x0^10 - 8703145006400 x0^9 + 44396368299114 x0^8 - 179697656333520 x0^7 + 572988784985188 x0^6 - 1420294907137392 x0^5 + 2677652713464300 x0^4 - 3706435590858000 x0^3 + 3548919735343125 x0^2 - 2098635449625000 x0 + 577124748646875
factors:
13
*(x - 5)^5
*(x - 3)^6
*(x - 11)^7
---------------
p: x0^30 + 30 x0^29 + 435 x0^28 + 4060 x0^27 + 27405 x0^26 + 142506 x0^25 + 593775 x0^24 + 2035800 x0^23 + 5852925 x0^22 + 14307150 x0^21 + 30045015 x0^20 + 54627300 x0^19 + 86493225 x0^18 + 119759850 x0^17 + 145422675 x0^16 + 155117520 x0^15 + 145422675 x0^14 + 119759850 x0^13 + 86493225 x0^12 + 54627300 x0^11 + 30045015 x0^10 + 14307150 x0^9 + 5852925 x0^8 + 2035800 x0^7 + 593775 x0^6 + 142506 x0^5 + 27405 x0^4 + 4060 x0^3 + 435 x0^2 + 30 x0 + 1
factors:
1
*(x + 1)^30
---------------
p: x0^70 - 6 x0^65 - x0^60 + 60 x0^55 - 54 x0^50 - 230 x0^45 + 274 x0^40 + 542 x0^35 - 615 x0^30 - 1120 x0^25 + 1500 x0^20 - 160 x0^15 - 395 x0^10 + 76 x0^5 + 34
factors:
1
*(x^10 - 2 x^5 - 1)^1
*(x^50 - 10 x^40 + 38 x^30 - 2 x^25 - 100 x^20 - 40 x^15 + 121 x^10 - 38 x^5 - 17)^1
*(x^10 - 4 x^5 + 2)^1
---------------
p: x0^4 - 8 x0^2
factors:
1
*(x^2 - 8)^1
*(x)^2
---------------
p: x0^5 - 2 x0^3 + x0 - 1
factors:
1
*(x^5 - 2 x^3 + x - 1)^1
---------------
p: x0^25 - 4 x0^21 - 5 x0^20 + 6 x0^17 + 11 x0^16 + 10 x0^15 - 4 x0^13 - 7 x0^12 - 9 x0^11 - 10 x0^10 + x0^9 + x0^8 + x0^7 + x0^6 + 3 x0^5 + x0 - 1
factors:
1
*(x^5 - 2 x^3 + x - 1)^1
*(x^10 + x^8 - x^6 - 2 x^5 - x^4 - x^3 + 1)^2
---------------
p: x0^25 - 10 x0^21 - 10 x0^20 - 95 x0^17 - 470 x0^16 - 585 x0^15 - 40 x0^13 - 1280 x0^12 - 4190 x0^11 - 3830 x0^10 + 400 x0^9 + 1760 x0^8 + 760 x0^7 - 2280 x0^6 + 449 x0^5 + 640 x0^3 - 640 x0^2 + 240 x0 - 32
factors:
1
*(x^5 - 16 x - 32)^1
*(x^10 + 3 x^6 + 11 x^5 - 4 x^2 + 4 x - 1)^2
---------------
p: x0^10
factors:
1
*(x)^10
---------------
p: x0^2 - 1
factors:
1
*(x - 1)^1
*(x + 1)^1
---------------
p: - 2 x0^2 + 2
factors:
-2
*(x - 1)^1
*(x + 1)^1
---------------
p: 0
factors:
0
---------------
p: 3
factors:
3
---------------
p: x0 + 1
factors:
1
*(x + 1)^1
---------------
p: x0 - 1
factors:
1
*(x - 1)^1
---------------
p: - x0 - 1
factors:
-1
*(x + 1)^1
---------------
p: - x0 + 1
factors:
-1
*(x - 1)^1
---------------
p: x0^10 - 10 x0^8 + 38 x0^6 - 2 x0^5 - 100 x0^4 - 40 x0^3 + 121 x0^2 - 38 x0 - 17
factors:
1
*(x^10 - 10 x^8 + 38 x^6 - 2 x^5 - 100 x^4 - 40 x^3 + 121 x^2 - 38 x - 17)^1
---------------
p: x0^50 - 10 x0^40 + 38 x0^30 - 2 x0^25 - 100 x0^20 - 40 x0^15 + 121 x0^10 - 38 x0^5 - 17
factors:
1
*(x^50 - 10 x^40 + 38 x^30 - 2 x^25 - 100 x^20 - 40 x^15 + 121 x^10 - 38 x^5 - 17)^1
---------------
p: x0^50 + 50 x0^49 + 1225 x0^48 + 19600 x0^47 + 230300 x0^46 + 2118760 x0^45 + 15890700 x0^44 + 99884400 x0^43 + 536878650 x0^42 + 2505433700 x0^41 + 10272278160 x0^40 + 37353738400 x0^39 + 121399643300 x0^38 + 354860419800 x0^37 + 937844742400 x0^36 + 2250822995040 x0^35 + 4923651311775 x0^34 + 9847192955550 x0^33 + 18052759836925 x0^32 + 30403208994400 x0^31 + 47120735638718 x0^30 + 67304328049540 x0^29 + 88693946746330 x0^28 + 107922921291080 x0^27 + 121316591779290 x0^26 + 126008358402418 x0^25 + 120920161583200 x0^24 + 107156006937400 x0^23 + 87616235053150 x0^22 + 66015165625200 x0^21 + 45751888559970 x0^20 + 29095194780400 x0^19 + 16923012027925 x0^18 + 8964604200300 x0^17 + 4300690170275 x0^16 + 1854462502360 x0^15 + 711289628150 x0^14 + 239061007300 x0^13 + 68794843050 x0^12 + 16285796400 x0^11 + 2912250341 x0^10 + 293635660 x0^9 - 24769155 x0^8 - 18147080 x0^7 - 4334640 x0^6 - 792418 x0^5 - 181390 x0^4 - 47580 x0^3 - 8780 x0^2 - 840 x0 - 47
factors:
1
*(x^50 + 50 x^49 + 1225 x^48 + 19600 x^47 + 230300 x^46 + 2118760 x^45 + 15890700 x^44 + 99884400 x^43 + 536878650 x^42 + 2505433700 x^41 + 10272278160 x^40 + 37353738400 x^39 + 121399643300 x^38 + 354860419800 x^37 + 937844742400 x^36 + 2250822995040 x^35 + 4923651311775 x^34 + 9847192955550 x^33 + 18052759836925 x^32 + 30403208994400 x^31 + 47120735638718 x^30 + 67304328049540 x^29 + 88693946746330 x^28 + 107922921291080 x^27 + 121316591779290 x^26 + 126008358402418 x^25 + 120920161583200 x^24 + 107156006937400 x^23 + 87616235053150 x^22 + 66015165625200 x^21 + 45751888559970 x^20 + 29095194780400 x^19 + 16923012027925 x^18 + 8964604200300 x^17 + 4300690170275 x^16 + 1854462502360 x^15 + 711289628150 x^14 + 239061007300 x^13 + 68794843050 x^12 + 16285796400 x^11 + 2912250341 x^10 + 293635660 x^9 - 24769155 x^8 - 18147080 x^7 - 4334640 x^6 - 792418 x^5 - 181390 x^4 - 47580 x^3 - 8780 x^2 - 840 x - 47)^1
---------------
p: x0^4 - 404 x0^2 + 39204
factors:
1
*(x^2 - 162)^1
*(x^2 - 242)^1
---------------
p: x0^25 - 31260 x0^20 + 383062540 x0^15 - 2590282000080 x0^10 + 7334282001000080 x0^5 - 9552011721875500032
factors:
1
*(x^5 - 15552)^1
*(x^20 - 15708 x^15 + 138771724 x^10 - 432104148432 x^5 + 614198284585616)^1
---------------
p: x0^25 - 3125 x0^21 - 15630 x0^20 + 3888750 x0^17 + 38684375 x0^16 + 95765635 x0^15 - 2489846500 x0^13 - 37650481875 x0^12 - 190548065625 x0^11 - 323785250010 x0^10 + 750249453025 x0^9 + 14962295699875 x0^8 + 111775113235000 x0^7 + 370399286731250 x0^6 + 362903064503129 x0^5 - 2387239013984400 x0^4 - 23872390139844000 x0^3 - 119361950699220000 x0^2 - 298404876748050000 x0 - 298500366308609376
factors:
1
*(x^5 - 1296 x - 7776)^1
*(x^20 - 1829 x^16 - 7854 x^15 + 1518366 x^12 + 14283287 x^11 + 34692931 x^10 - 522044164 x^8 - 7332527907 x^7 - 34519187337 x^6 - 54013018554 x^5 + 73680216481 x^4 + 1399924113139 x^3 + 10020509441416 x^2 + 31977213952754 x + 38387392786601)^1
---------------
p: - x0^27 + 54 x0^24 - 324 x0^21 + 17496 x0^18 - 34992 x0^15 + 1889568 x0^12 - 1259712 x0^9 + 68024448 x0^6
factors:
-1
*(x^3 - 54)^1
*(x^6 + 108)^3
*(x)^6
---------------
p: x0^27 - 648 x0^24 + 105300 x0^21 - 3639168 x0^18 - 521485776 x0^15 - 40761760896 x0^12 - 8435982634560 x0^9 - 326907538633728 x0^6 - 904871002816512 x0^3 - 34835065137266688
factors:
1
*(x^3 - 432)^1
*(x^6 + 6912)^1
*(x^6 - 324 x^3 + 37044)^1
*(x^6 + 108)^1
*(x^3 + 54)^2
---------------
p: x0^54 - 54 x0^52 - 1296 x0^51 + 1404 x0^50 + 607104 x0^48 - 1057536 x0^47 - 22401792 x0^46 - 131347008 x0^45 + 385174656 x0^44 + 4556424960 x0^43 + 10518648048 x0^42 + 54432 x0^49 - 69060148992 x0^41 - 565617303648 x0^40 + 445518434304 x0^39 + 8781044678784 x0^38 + 32843377234944 x0^37 - 131307918402048 x0^36 - 1186720516915200 x0^35 + 736520460602112 x0^34 + 18979903288608768 x0^33 - 112345961528001024 x0^32 + 1270197317039357952 x0^31 - 1541064534072996096 x0^30 + 16614053352447639552 x0^29 - 64121868468546937344 x0^28 - 441603923048400752640 x0^27 + 3907490603726606515200 x0^26 - 9940058828597411831808 x0^25 + 37842357616860755976192 x0^24 - 207493394698593727119360 x0^23 + 7974899726119384485888 x0^22 + 2119713138903354441449472 x0^21 - 1236506243331227840225280 x0^20 + 15633879365645789187538944 x0^19 + 135073233715906678961491968 x0^18 - 283501898470995378000297984 x0^17 - 103789476798964165693218816 x0^16 + 2149475050405063712005816320 x0^15 + 11401046311106270759794900992 x0^14 - 42594459367486176885626634240 x0^13 + 144038627307565998906953170944 x0^12 + 51604015948240925730371272704 x0^11 - 250947536887982891503528574976 x0^10 + 3480976544954551737609272426496 x0^9 + 10434520207534987392729183682560 x0^8 + 42130058836708565940278805921792 x0^7 + 28392667475502927445585073012736 x0^6 + 292548838778373337946194100355072 x0^5 + 732626185252271205256762862075904 x0^4 + 490660485015010178556685461749760 x0^3 + 1356203807400073270301299496189952 x0^2 + 436594705270365747351637721088000 x0 + 1395158047392035876769798396313600
factors:
1
*(x^6 - 6 x^4 - 864 x^3 + 12 x^2 - 5184 x + 186616)^1
*(x^12 - 12 x^10 + 60 x^8 + 56 x^6 + 6720 x^4 + 12768 x^2 + 13456)^1
*(x^12 - 12 x^10 - 648 x^9 + 60 x^8 + 178904 x^6 + 15552 x^5 + 1593024 x^4 - 24045984 x^3 + 5704800 x^2 - 143995968 x + 1372010896)^1
*(x^12 - 12 x^10 + 60 x^8 + 13664 x^6 + 414960 x^4 + 829248 x^2 + 47886400)^1
*(x^6 - 6 x^4 + 108 x^3 + 12 x^2 + 648 x + 2908)^2
---------------
p: x0^2 + x0
q: x0
r: 0
---------------
p: x0^2 + x0 + 1
q: x0
r: 1
---------------
p: x0^2 + 2 x0 + 1
q: 2 x0 + 2
r: 0
------
p1: x^3 - 6 x^2 + 11 x - 6
p2: x^2 - 3 x + 2
r:  x - 3
expected:  x - 3
------
p1: 2 x^3 - 12 x^2 + 22 x - 12
p2: x^2 - 3 x + 2
r:  2 x - 6
expected:  2 x - 6
------
p1: 2 x^3 - 12 x^2 + 22 x - 12
p2: x^3 - 7 x^2 + 14 x - 8
------
p1: x - 3
p2: x - 1
------
p1: 0
p2: x^3 - 7 x^2 + 14 x - 8
r:  0
expected:  0
------
p1: x^3 - 7 x^2 + 14 x - 8
p2: 0
------
p1: 0
p2: 0
------
p1: 2 x - 2
p2: x - 1
r:  2
expected:  2
------
p1: 2 x - 2
p2: 4 x - 4
------
p1: 6 x - 4
p2: 2
r:  3 x - 2
expected:  3 x - 2
isolating roots of: x^70 - 6 x^65 - x^60 + 60 x^55 - 54 x^50 - 230 x^45 + 274 x^40 + 542 x^35 - 615 x^30 - 1120 x^25 + 1500 x^20 - 160 x^15 - 395 x^10 + 76 x^5 + 34
(isolate time :time 0.03 :before-memory 1465.99 :after-memory 1466.13)
(sturm time :time 0.00 :before-memory 1466.13 :after-memory 1466.14)
square free part: x^70 - 6 x^65 - x^60 + 60 x^55 - 54 x^50 - 230 x^45 + 274 x^40 + 542 x^35 - 615 x^30 - 1120 x^25 + 1500 x^20 - 160 x^15 - 395 x^10 + 76 x^5 + 34
(sqf time :time 0.00 :before-memory 1466.14 :after-memory 1466.14)
(fourier time :time 0.00 :before-memory 1466.14 :after-memory 1466.16)
num. roots: 6
sign var(-oo): 16
sign var(+oo): 10
roots:
intervals: (1.25, 1.5) (1.203125, 1.21875) (1.1875, 1.203125) (0, 1) (-0.875, -0.8125) (-0.8125, -0.75)(interval check :time 0.03 :before-memory 1466.16 :after-memory 1466.29)

isolating roots of: x^2 - 3 x + 2
(isolate time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(sturm time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
square free part: x^2 - 3 x + 2
(sqf time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(fourier time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 2
intervals: (0, 2)(interval check :time 0.00 :before-memory 1465.89 :after-memory 1465.89)

isolating roots of: x^5 - 2 x^4 + x^3
(isolate time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(sturm time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
square free part: x^2 - x
(sqf time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(fourier time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 0
intervals: (0, 4)(interval check :time 0.00 :before-memory 1465.89 :after-memory 1465.89)

isolating roots of: x^5 - x - 1
(isolate time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(sturm time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
square free part: x^5 - x - 1
(sqf time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(fourier time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
num. roots: 1
sign var(-oo): 2
sign var(+oo): 1
roots:
intervals: (0, 4)(interval check :time 0.00 :before-memory 1465.89 :after-memory 1465.89)

isolating roots of: x^6 - x^5 - 16 x^4 + 10 x^3 + 69 x^2 - 9 x - 54
(isolate time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(sturm time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18
(sqf time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(fourier time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
num. roots: 5
sign var(-oo): 5
sign var(+oo): 0
roots: -2
intervals: (2, 4) (0, 2) (-4, -2) (-2, 0)(interval check :time 0.00 :before-memory 1465.91 :after-memory 1465.91)

isolating roots of: 100000000 x^2 - 630000 x + 992
(isolate time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(sturm time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
square free part: 100000000 x^2 - 630000 x + 992
(sqf time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(fourier time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots:
intervals: (0.0031738281?, 0.0034179687?) (0.0029296875, 0.0031738281?)(interval check :time 0.00 :before-memory 1465.91 :after-memory 1465.91)

isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(isolate time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(sturm time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(sqf time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(fourier time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
num. roots: 3
sign var(-oo): 3
sign var(+oo): 0
roots:
intervals: (0.0032958984?, 0.0034179687?) (0.0031738281?, 0.0032958984?) (0.0029296875, 0.0031738281?)(interval check :time 0.00 :before-memory 1465.91 :after-memory 1465.91)

isolating roots of: 1000 x^11 - 1167 x^10 - 2000 x^6 + 2334 x^5 - 1000 x^3 + 1167 x^2 + 1000 x - 1167
(isolate time :time 0.00 :before-memory 1465.92 :after-memory 1465.92)
(sturm time :time 0.00 :before-memory 1465.92 :after-memory 1466.01)
square free part: 1000 x^11 - 1167 x^10 - 2000 x^6 + 2334 x^5 - 1000 x^3 + 1167 x^2 + 1000 x - 1167
(sqf time :time 0.00 :before-memory 1466.01 :after-memory 1466.01)
(fourier time :time 0.00 :before-memory 1466.01 :after-memory 1466.02)
num. roots: 3
sign var(-oo): 6
sign var(+oo): 3
roots:
intervals: (1.1672363281?, 1.1674804687?) (1.1669921875, 1.1672363281?) (0, 1)(interval check :time 0.00 :before-memory 1466.02 :after-memory 1466.04)

isolating roots of: 32768 x^11 - 4160512 x^10 + 174665408 x^9 - 3092100952 x^8 + 24729859214 x^7 - 89699170501 x^6 + 140975222734 x^5 - 87882836696 x^4 + 23405003968 x^3 - 2729126912 x^2 + 132087808 x - 2097152
(isolate time :time 0.00 :before-memory 1466.07 :after-memory 1466.08)
(sturm time :time 0.00 :before-memory 1466.08 :after-memory 1466.08)
square free part: 32768 x^11 - 4160512 x^10 + 174665408 x^9 - 3092100952 x^8 + 24729859214 x^7 - 89699170501 x^6 + 140975222734 x^5 - 87882836696 x^4 + 23405003968 x^3 - 2729126912 x^2 + 132087808 x - 2097152
(sqf time :time 0.00 :before-memory 1466.08 :after-memory 1466.08)
(fourier time :time 0.00 :before-memory 1466.08 :after-memory 1466.08)
num. roots: 11
sign var(-oo): 11
sign var(+oo): 0
roots: 64 32 16 8 4 2 0.5 0.25 0.125 0.0625
intervals: (0, 0.0625)(interval check :time 0.00 :before-memory 1466.08 :after-memory 1466.08)

isolating roots of: 1000000 x^22 - 2334000 x^21 + 1361889 x^20 - 4000000 x^17 + 9336000 x^16 - 5447556 x^15 - 2000000 x^14 + 4668000 x^13 + 3276222 x^12 - 14004000 x^11 + 8171334 x^10 + 4000000 x^9 - 9336000 x^8 + 1447556 x^7 + 10336000 x^6 - 7781556 x^5 - 638111 x^4 + 4668000 x^3 - 1723778 x^2 - 2334000 x + 1361889
(isolate time :time 0.00 :before-memory 1466.09 :after-memory 1466.09)
(sturm time :time 0.00 :before-memory 1466.09 :after-memory 1466.11)
square free part: 1000 x^11 - 1167 x^10 - 2000 x^6 + 2334 x^5 - 1000 x^3 + 1167 x^2 + 1000 x - 1167
(sqf time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(fourier time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
num. roots: 3
sign var(-oo): 6
sign var(+oo): 3
roots:
intervals: (1.1672363281?, 1.1674804687?) (1.1669921875, 1.1672363281?) (0, 1)(interval check :time 0.00 :before-memory 1466.11 :after-memory 1466.11)

isolating roots of: x^17 + 5 x^16 + 3 x^15 + 10 x^13 + 13 x^10 + x^9 + 8 x^5 + 3 x^2 + 7
(isolate time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(sturm time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
square free part: x^17 + 5 x^16 + 3 x^15 + 10 x^13 + 13 x^10 + x^9 + 8 x^5 + 3 x^2 + 7
(sqf time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(fourier time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
num. roots: 3
sign var(-oo): 10
sign var(+oo): 7
roots:
intervals: (-8, -4) (-2, -1.5) (-1.5, -1)(interval check :time 0.00 :before-memory 1466.11 :after-memory 1466.11)

isolating roots of: x^33 + 5 x^32 + 3 x^31 - 4 x^30 - 12 x^29 - 24 x^28 - 12 x^27 - 5 x^26 + 42 x^25 + 51 x^24 + 18 x^23 + 9 x^22 - 19 x^21 - 10 x^20 - 2 x^19 - 8 x^18 - 5 x^17 - 94 x^16 - 91 x^15 + 22 x^14 + 18 x^13 + 62 x^12 + 62 x^11 + 19 x^10 + 2 x^9 + 10 x^8 + 10 x^7 - 9 x^6 - 64 x^5 - 44 x^4 - 4 x^3 + 40 x^2 + 56 x + 28
(isolate time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(sturm time :time 0.01 :before-memory 1466.11 :after-memory 1466.16)
square free part: x^25 + 5 x^24 + 3 x^23 - 2 x^22 - x^21 - 12 x^20 - 8 x^19 - 8 x^18 + 3 x^17 + 6 x^16 - 20 x^15 + 5 x^14 + 14 x^13 - x^12 + 26 x^11 + 15 x^10 - 6 x^9 - x^8 - 6 x^7 + 13 x^6 - x^5 - 7 x^4 - x^3 + 6 x^2 + 14 x + 14
(sqf time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
(fourier time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
num. roots: 5
sign var(-oo): 15
sign var(+oo): 10
roots:
intervals: (1.25, 1.5) (1, 1.25) (-8, -4) (-2, -1.5) (-1.5, -1)(interval check :time 0.00 :before-memory 1466.16 :after-memory 1466.16)

isolating roots of: 900 x^19 - 6000113760 x^18 + 10000758403594816 x^17 - 1264023965440000000 x^16 + 39942400000000000000 x^15 - 2700000000000 x^14 + 18000341280000000000 x^13 - 30002275210784448000000000 x^12 + 3792071896320000000000000000 x^11 - 119827200000000000000000000000 x^10 + 2700000000000000000000 x^9 - 18000341280000000000000000000 x^8 + 30002275210784448000000000000000000 x^7 - 3792071896320000000000000000000000000 x^6 + 119827200000000000000000000000000000000 x^5 - 900000000000000000000000000000 x^4 + 6000113760000000000000000000000000000 x^3 - 10000758403594816000000000000000000000000000 x^2 + 1264023965440000000000000000000000000000000000 x - 39942400000000000000000000000000000000000000000
(isolate time :time 0.01 :before-memory 1466.15 :after-memory 1466.16)
(sturm time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
square free part: 15 x^7 - 50000948 x^6 + 3160000000 x^5 - 15000000000 x^2 + 50000948000000000 x - 3160000000000000000
(sqf time :time 0.01 :before-memory 1466.16 :after-memory 1466.16)
(fourier time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
num. roots: 3
sign var(-oo): 5
sign var(+oo): 2
roots:
intervals: (2097152, 4194304) (63.125, 63.25) (63, 63.125)(interval check :time 0.00 :before-memory 1466.16 :after-memory 1466.16)

upolynomial sturm seq...
x^16 - 136 x^14 + 6476 x^12 - 141912 x^10 + 1513334 x^8 - 7453176 x^6 + 13950764 x^4 - 5596840 x^2 + 46225
16 x^31 - 3184 x^29 + 266896 x^27 - 12504176 x^25 + 365186736 x^23 - 7016366800 x^21 + 91296632240 x^19 - 816781071440 x^17 + 5048153319680 x^15 - 21441099366400 x^13 + 61546497478656 x^11 - 115751532406784 x^9 + 135609801916416 x^7 - 91405602717696 x^5 + 30893429293056 x^3 - 3713794375680 x
-1 x^16 + 136 x^14 - 6476 x^12 + 141912 x^10 - 1513334 x^8 + 7453176 x^6 - 13950764 x^4 + 5596840 x^2 - 46225
-1127661677367 x^15 + 80685790700977 x^13 - 2102726493398207 x^11 + 24514705741043569 x^9 - 126650346236335533 x^7 + 242589935638940027 x^5 - 97920676059890653 x^3 + 808873659526115 x
-14535239484187 x^14 + 1040002105846097 x^12 - 27102803643492427 x^10 + 315975682124035209 x^8 - 1632414202846505513 x^6 + 3126764251346253547 x^4 - 1262106621739038833 x^2 + 10425232207257915
-167716660671508667641 x^13 + 8401333185842706888530 x^11 - 134511192706723391471287 x^9 + 821751607340566559868924 x^7 - 1705905612159036016144823 x^5 + 712068977650176642124114 x^3 - 10375158858866309689337 x
-46388284262096386474101 x^12 + 2297177756962323065528714 x^10 - 36402788774274131831901243 x^8 + 220799657664499131685981196 x^6 - 455864002600254932618175227 x^4 + 187578869474987904058942602 x^2 - 1550540527908097632341045
-4781966315926860973699105567 x^11 + 144464930716069568218159788243 x^9 - 1169427211740981342868979217166 x^7 + 2878829227828597116284471589262 x^5 - 1689381939540688922079704055699 x^3 + 237821093214524613444114401119 x
-5108074971655853552979774902899 x^10 + 142894793305009146385089605918283 x^8 - 1099846101471960685926906955737574 x^6 + 2506082302169705625991475997146542 x^4 - 1056500552045609715416888450812743 x^2 + 8841855718148765940369646193383
-98120336193551253677921935999799283 x^9 + 1282821860598696804541403875934437348 x^7 - 4888580553822740399599176292389184402 x^5 + 6426442235002716205008267522870828260 x^3 - 2106362515913203012578123667196293235 x
-1561728884476847525112813341042616474011 x^8 + 17345591286879038944880672380421451809732 x^6 - 44557170670678936833666488386470071966338 x^4 + 19428144317367539496215506533408444604612 x^2 - 181424501621876268050477659663628874267
-48718567339545057971709193441047126509 x^7 + 527268188685058585740868192019254318421 x^5 - 1313868868153889289084379514485509676183 x^3 + 528737651333486566371183339800760756103 x
-220162280897461356833414966265382012563279 x^6 + 1211314214555794584950776751645547954082463 x^4 - 1230799847361844990126616667707906905070125 x^2 + 90080631010818812189690298672496136915141
-4567940256921478185902666831705495050259 x^5 + 18353182476718620132475356289264733969914 x^3 - 8965983880068785028294729109994152212011 x
-16568849839314393995007704109417733998971 x^4 + 40499812984358514784159551770437344409066 x^2 - 4567940256921478185902666831705495050259
-211307826015503935324666261 x^3 + 226566446302093673740485799 x
-1051673563609695326877268183 x^2 + 211307826015503935324666261
-1 x
-1

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (1/3, 7/5) (0.3333333333?, 1.4)
after (1/2, 21/2^4) (0.5, 1.3125)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (1/2, 7/5) (0.5, 1.4)
after (1/2, 21/2^4) (0.5, 1.3125)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (3/7, 3/2) (0.4285714285?, 1.5)
after (3/2^2, 3/2) (0.75, 1.5)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (0, 3/2) (0, 1.5)
after (0, 3/2) (0, 1.5)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (0, 23/21) (0, 1.0952380952?)
after (0, 69/2^6) (0, 1.078125)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (7/2, 5) (3.5, 5)
after (7/2, 5) (3.5, 5)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (999/1000, 1001/1000) (0.999, 1.001)
after (1047951/2^20, 524475/2^19) (0.9994039535?, 1.0003566741?)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (9999/10000, 10001/10000) (0.9999, 1.0001)
after (67103289/2^26, 8389161/2^23) (0.9999169260?, 1.0000659227?)

p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
before (39999/10000, 40001/10000) (3.9999, 4.0001)
after (268433289/2^26, 1073746843/2^28) (3.9999677091?, 4.0000186972?)
p: x^4 - 10 x^3 + 35 x^2 - 50 x + 24
q: 81 x^4 - 702 x^3 + 2079 x^2 - 2418 x + 880
p: 24 x^4 - 50 x^3 + 35 x^2 - 10 x + 1

Refining intervals
p: x0^5 - x0 - 1
before (1, 2)
new (2448013/2^21, 1224007/2^20)
as decimal: 1.16730356216430664062?
p: x0^2 - 2
before (1, 2)
new (1136276788042180458070828951474823657989790988021617205464301/2^199, 4545107152168721832283315805899294631959163952086468821857205/2^201)
as decimal: 1.4142135623730950488016887242096980785696718753769480731766796228945468916789744311432405157464679368195737862332593934694025131023094144793931710987557973124330301661899511600495316088199615478515625

Refinable intervals
p: 4 x0^3 - 27 x0^2 + 56 x0 - 33
before (1, 3)
new root: 11/2^2
before (2, 3)
new root: 11/2^2
before (5/2, 3)
new root: 11/2^2
p: 5 x0^3 - 31 x0^2 + 59 x0 - 33
before (1, 3)
new (2, 5/2)
before (2, 3)
new (2, 5/2)
before (3/2, 3)
new (3/2, 9/2^2)
before (1, 5/2)
new (7/2^2, 5/2)
before (3/2, 5/2)
new (3/2, 5/2)
p: x0^3 - 6 x0^2 + 11 x0 - 6
before (1, 3)
new root: 2

Sturm Seq
upolynomial sturm seq...
7 x^10 + 3 x^9 + x^8 + x^6 + 10 x^4 + 10 x^3 + 8 x^2 + 2 x + 8
70 x^9 + 27 x^8 + 8 x^7 + 6 x^5 + 40 x^3 + 30 x^2 + 16 x + 2
-59 x^8 + 24 x^7 - 280 x^6 + 18 x^5 - 4200 x^4 - 4780 x^3 - 4390 x^2 - 1212 x - 5594
1500 x^7 + 1203 x^6 + 24666 x^5 + 47840 x^4 + 48052 x^3 + 27528 x^2 + 38592 x + 26146
-136383 x^6 - 156626 x^5 + 987760 x^4 + 1288828 x^3 + 900792 x^2 + 434888 x + 1473094
-447977461 x^5 - 722331988 x^4 - 657814810 x^3 - 358104882 x^2 - 658907000 x - 254616997
-35151054357362 x^4 - 42237581647498 x^3 - 34012218049812 x^2 - 13572653161293 x - 46516612622356
32579335587662 x^3 + 71643021991321 x^2 - 50595120825621 x + 112457692722850
2904057856460384409 x^2 - 2842891454868987857 x + 2936283658205629262
-2803684606075989760487 x - 1222930252896030111592
-1
_p: 4 x^3 - 12 x^2 - x + 3
_r: 16 x^2 - 40 x - 24
_q: 16 x^2 - 40 x - 24
isolating roots of: x^2 - 3 x + 2
(isolate time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(sturm time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
square free part: x^2 - 3 x + 2
(sqf time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(fourier time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 2
intervals: (0, 2)(interval check :time 0.00 :before-memory 1465.89 :after-memory 1465.89)

isolating roots of: x^5 - 2 x^4 + x^3
(isolate time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(sturm time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
square free part: x^2 - x
(sqf time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(fourier time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 0
intervals: (0, 4)(interval check :time 0.00 :before-memory 1465.89 :after-memory 1465.89)

isolating roots of: x^5 - x - 1
(isolate time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(sturm time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
square free part: x^5 - x - 1
(sqf time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
(fourier time :time 0.00 :before-memory 1465.89 :after-memory 1465.89)
num. roots: 1
sign var(-oo): 2
sign var(+oo): 1
roots:
intervals: (0, 4)(interval check :time 0.00 :before-memory 1465.89 :after-memory 1465.89)

isolating roots of: x^6 - x^5 - 16 x^4 + 10 x^3 + 69 x^2 - 9 x - 54
(isolate time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(sturm time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18
(sqf time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(fourier time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
num. roots: 5
sign var(-oo): 5
sign var(+oo): 0
roots: -2
intervals: (2, 4) (0, 2) (-4, -2) (-2, 0)(interval check :time 0.00 :before-memory 1465.91 :after-memory 1465.91)

isolating roots of: 100000000 x^2 - 630000 x + 992
(isolate time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(sturm time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
square free part: 100000000 x^2 - 630000 x + 992
(sqf time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(fourier time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots:
intervals: (0.0031738281?, 0.0034179687?) (0.0029296875, 0.0031738281?)(interval check :time 0.00 :before-memory 1465.91 :after-memory 1465.91)

isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(isolate time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(sturm time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(sqf time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
(fourier time :time 0.00 :before-memory 1465.91 :after-memory 1465.91)
num. roots: 3
sign var(-oo): 3
sign var(+oo): 0
roots:
intervals: (0.0032958984?, 0.0034179687?) (0.0031738281?, 0.0032958984?) (0.0029296875, 0.0031738281?)(interval check :time 0.00 :before-memory 1465.91 :after-memory 1465.91)

isolating roots of: 1000 x^11 - 1167 x^10 - 2000 x^6 + 2334 x^5 - 1000 x^3 + 1167 x^2 + 1000 x - 1167
(isolate time :time 0.00 :before-memory 1465.92 :after-memory 1465.92)
(sturm time :time 0.00 :before-memory 1465.92 :after-memory 1466.01)
square free part: 1000 x^11 - 1167 x^10 - 2000 x^6 + 2334 x^5 - 1000 x^3 + 1167 x^2 + 1000 x - 1167
(sqf time :time 0.00 :before-memory 1466.01 :after-memory 1466.01)
(fourier time :time 0.00 :before-memory 1466.01 :after-memory 1466.02)
num. roots: 3
sign var(-oo): 6
sign var(+oo): 3
roots:
intervals: (1.1672363281?, 1.1674804687?) (1.1669921875, 1.1672363281?) (0, 1)(interval check :time 0.00 :before-memory 1466.02 :after-memory 1466.04)

isolating roots of: 32768 x^11 - 4160512 x^10 + 174665408 x^9 - 3092100952 x^8 + 24729859214 x^7 - 89699170501 x^6 + 140975222734 x^5 - 87882836696 x^4 + 23405003968 x^3 - 2729126912 x^2 + 132087808 x - 2097152
(isolate time :time 0.00 :before-memory 1466.07 :after-memory 1466.08)
(sturm time :time 0.00 :before-memory 1466.08 :after-memory 1466.08)
square free part: 32768 x^11 - 4160512 x^10 + 174665408 x^9 - 3092100952 x^8 + 24729859214 x^7 - 89699170501 x^6 + 140975222734 x^5 - 87882836696 x^4 + 23405003968 x^3 - 2729126912 x^2 + 132087808 x - 2097152
(sqf time :time 0.00 :before-memory 1466.08 :after-memory 1466.08)
(fourier time :time 0.00 :before-memory 1466.08 :after-memory 1466.08)
num. roots: 11
sign var(-oo): 11
sign var(+oo): 0
roots: 64 32 16 8 4 2 0.5 0.25 0.125 0.0625
intervals: (0, 0.0625)(interval check :time 0.00 :before-memory 1466.08 :after-memory 1466.08)

isolating roots of: 1000000 x^22 - 2334000 x^21 + 1361889 x^20 - 4000000 x^17 + 9336000 x^16 - 5447556 x^15 - 2000000 x^14 + 4668000 x^13 + 3276222 x^12 - 14004000 x^11 + 8171334 x^10 + 4000000 x^9 - 9336000 x^8 + 1447556 x^7 + 10336000 x^6 - 7781556 x^5 - 638111 x^4 + 4668000 x^3 - 1723778 x^2 - 2334000 x + 1361889
(isolate time :time 0.00 :before-memory 1466.09 :after-memory 1466.09)
(sturm time :time 0.00 :before-memory 1466.09 :after-memory 1466.11)
square free part: 1000 x^11 - 1167 x^10 - 2000 x^6 + 2334 x^5 - 1000 x^3 + 1167 x^2 + 1000 x - 1167
(sqf time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(fourier time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
num. roots: 3
sign var(-oo): 6
sign var(+oo): 3
roots:
intervals: (1.1672363281?, 1.1674804687?) (1.1669921875, 1.1672363281?) (0, 1)(interval check :time 0.00 :before-memory 1466.11 :after-memory 1466.11)

isolating roots of: x^17 + 5 x^16 + 3 x^15 + 10 x^13 + 13 x^10 + x^9 + 8 x^5 + 3 x^2 + 7
(isolate time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(sturm time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
square free part: x^17 + 5 x^16 + 3 x^15 + 10 x^13 + 13 x^10 + x^9 + 8 x^5 + 3 x^2 + 7
(sqf time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(fourier time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
num. roots: 3
sign var(-oo): 10
sign var(+oo): 7
roots:
intervals: (-8, -4) (-2, -1.5) (-1.5, -1)(interval check :time 0.00 :before-memory 1466.11 :after-memory 1466.11)

isolating roots of: x^33 + 5 x^32 + 3 x^31 - 4 x^30 - 12 x^29 - 24 x^28 - 12 x^27 - 5 x^26 + 42 x^25 + 51 x^24 + 18 x^23 + 9 x^22 - 19 x^21 - 10 x^20 - 2 x^19 - 8 x^18 - 5 x^17 - 94 x^16 - 91 x^15 + 22 x^14 + 18 x^13 + 62 x^12 + 62 x^11 + 19 x^10 + 2 x^9 + 10 x^8 + 10 x^7 - 9 x^6 - 64 x^5 - 44 x^4 - 4 x^3 + 40 x^2 + 56 x + 28
(isolate time :time 0.00 :before-memory 1466.11 :after-memory 1466.11)
(sturm time :time 0.01 :before-memory 1466.11 :after-memory 1466.16)
square free part: x^25 + 5 x^24 + 3 x^23 - 2 x^22 - x^21 - 12 x^20 - 8 x^19 - 8 x^18 + 3 x^17 + 6 x^16 - 20 x^15 + 5 x^14 + 14 x^13 - x^12 + 26 x^11 + 15 x^10 - 6 x^9 - x^8 - 6 x^7 + 13 x^6 - x^5 - 7 x^4 - x^3 + 6 x^2 + 14 x + 14
(sqf time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
(fourier time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
num. roots: 5
sign var(-oo): 15
sign var(+oo): 10
roots:
intervals: (1.25, 1.5) (1, 1.25) (-8, -4) (-2, -1.5) (-1.5, -1)(interval check :time 0.00 :before-memory 1466.16 :after-memory 1466.16)

isolating roots of: 900 x^19 - 6000113760 x^18 + 10000758403594816 x^17 - 1264023965440000000 x^16 + 39942400000000000000 x^15 - 2700000000000 x^14 + 18000341280000000000 x^13 - 30002275210784448000000000 x^12 + 3792071896320000000000000000 x^11 - 119827200000000000000000000000 x^10 + 2700000000000000000000 x^9 - 18000341280000000000000000000 x^8 + 30002275210784448000000000000000000 x^7 - 3792071896320000000000000000000000000 x^6 + 119827200000000000000000000000000000000 x^5 - 900000000000000000000000000000 x^4 + 6000113760000000000000000000000000000 x^3 - 10000758403594816000000000000000000000000000 x^2 + 1264023965440000000000000000000000000000000000 x - 39942400000000000000000000000000000000000000000
(isolate time :time 0.01 :before-memory 1466.15 :after-memory 1466.16)
(sturm time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
square free part: 15 x^7 - 50000948 x^6 + 3160000000 x^5 - 15000000000 x^2 + 50000948000000000 x - 3160000000000000000
(sqf time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
(fourier time :time 0.00 :before-memory 1466.16 :after-memory 1466.16)
num. roots: 3
sign var(-oo): 5
sign var(+oo): 2
roots:
intervals: (2097152, 4194304) (63.125, 63.25) (63, 63.125)(interval check :time 0.00 :before-memory 1466.16 :after-memory 1466.16)

p: x0^5 + 2 x0^4 - 10 x0^3 - 20 x0^2 + 9 x0 + 18
q: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18
degree(q): 5
expanded q: 18 9 -20 -10 2 1 
new q: 2 x^5 + 3 x^4 - 9 x^3 - 19 x^2 + 10 x + 19
new q^2: 4 x^10 + 12 x^9 - 27 x^8 - 130 x^7 + 7 x^6 + 478 x^5 + 295 x^4 - 722 x^3 - 622 x^2 + 380 x + 361
new (q^2)^3: 64 x^30 + 576 x^29 + 432 x^28 - 12288 x^27 - 40020 x^26 + 79284 x^25 + 586149 x^24 + 235698 x^23 - 4140627 x^22 - 6895030 x^21 + 15251184 x^20 + 49873788 x^19 - 16794929 x^18 - 201145074 x^17 - 108039945 x^16 + 499210576 x^15 + 614825733 x^14 - 724261014 x^13 - 1616514344 x^12 + 376952670 x^11 + 2580727584 x^10 + 671496040 x^9 - 2571049230 x^8 - 1605401010 x^7 + 1474343885 x^6 + 1530682218 x^5 - 329384703 x^4 - 739359046 x^3 - 86793786 x^2 + 148565940 x + 47045881


Testing Z_p
GCD in Z[x]
_p:  x^4 + 2 x^3 + 2 x^2 + x
_q:  x^3 + x + 1
gcd: 1
_p:  x^4 + 2 x^3 + 2 x^2 + x
_q:  x^3 + x + 1
subresultant_gcd: 1
GCD in Z_3[x]
_p:  x^4 - x^3 - x^2 + x
_q:  x^3 + x + 1
gcd: x - 1
_p:  x^4 - x^3 - x^2 + x
_q:  x^3 + x + 1
subresultant_gcd: x - 1


Testing Z_p
GCD in Z[x]
_p:  x^8 + x^6 + 10 x^4 + 10 x^3 + 8 x^2 + 2 x + 8
_q:  x^6 + 5 x^5 + 9 x^4 + 5 x^2 + 5 x
gcd: 1
_p:  x^8 + x^6 + 10 x^4 + 10 x^3 + 8 x^2 + 2 x + 8
_q:  x^6 + 5 x^5 + 9 x^4 + 5 x^2 + 5 x
subresultant_gcd: 1
GCD in Z_13[x]
_p:  x^8 + x^6 - 3 x^4 - 3 x^3 - 5 x^2 + 2 x - 5
_q:  x^6 + 5 x^5 - 4 x^4 + 5 x^2 + 5 x
gcd: x^5 + 5 x^4 - 4 x^3 + 5 x + 5
_p:  x^8 + x^6 - 3 x^4 - 3 x^3 - 5 x^2 + 2 x - 5
_q:  x^6 + 5 x^5 - 4 x^4 + 5 x^2 + 5 x
subresultant_gcd: x^5 + 5 x^4 - 4 x^3 + 5 x + 5

Extended GCD
GCD in Z_13[x]
A: x^6 + 5 x^5 - 4 x^4 + 5 x^2 + 5 x
B: x^8 + x^6 - 3 x^4 - 3 x^3 - 5 x^2 + 2 x - 5
U: x^2 - 5 x + 4
V: -1
D: x^5 + 5 x^4 - 4 x^3 + 5 x + 5

Extended GCD in Z_7
GCD in Z_7[x]
A: x^3 + 2
B: -1 x^2 - 1
U: 3 x - 1
V: 3 x^2 - x - 3
D: 1
PASS
(test upolynomial :time 3.07 :before-memory 1465.83 :after-memory 1465.83)
root: 2
root: (#^4 - 4, 2)
--------------
p: x1 x3 + 1
x0 -> (#, 1)
x1 -> (#, 1)
x2 -> (#, 1)
roots:
signs:
+
--------------
p: x1 x3 + 1
x0 -> (#, 1)
x1 -> (# - 1, 1)
x2 -> (#, 1)
roots:
(# + 1, 1) -1
signs:
- 0 +
--------------
p: x1 x3 + 1
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#, 1)
roots:
(2 #^2 - 1, 1) -0.7071067811?
signs:
- 0 +
--------------
p: x2 x3 + x1 x3 + 1
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#^2 - 2, 2)
roots:
(8 #^2 - 1, 1) -0.3535533905?
signs:
- 0 +
--------------
p: x2 x3 + x1 x3 + x1 x2 + 2
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#^2 - 2, 2)
roots:
(#^2 - 2, 1) -1.4142135623?
signs:
- 0 +
--------------
p: x2 x3^3 + x1 x3^3 + x1 x2 + 2
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#^2 - 2, 2)
roots:
(#^6 - 2, 1) -1.1224620483?
signs:
- 0 +
--------------
p: x2 x3^2 + x1 x3^2 - x1 x2 - 2
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#^2 - 2, 2)
roots:
(#^4 - 2, 1) -1.1892071150?
(#^4 - 2, 2) 1.1892071150?
signs:
+ 0 - 0 +
--------------
p: x0 x2 x3^2 + x0 x1 x3^2 - x0 x1 x2 - 2
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#^2 - 2, 2)
roots:
signs:
-
--------------
p: - x2 x3 + x1 x3 + x1 x2 - 2
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#^2 - 2, 2)
roots:
signs:
0
--------------
p: - x2 x3^3 + x1 x3^3 + x1 x2 - 2
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#^2 - 2, 2)
roots:
signs:
0
--------------
p: x3^2 - 2 x0 x3 - x1 x3 + x0^2 + x0 x1
x0 -> (#^2 - 2, 2)
x1 -> (#^2 - 3, 2)
x2 -> (#, 1)
roots:
(#^2 - 2, 2) 1.4142135623?
(#^4 - 10 #^2 + 1, 4) 3.1462643699?
signs:
+ 0 - 0 +
--------------
p: x3^3 - 3 x0 x3^2 - 2 x1 x3^2 + 3 x0^2 x3 + 4 x0 x1 x3 + x1^2 x3 - x0^3 - 2 x0^2 x1 - x0 x1^2
x0 -> (#^2 - 2, 2)
x1 -> (#^2 - 3, 2)
x2 -> (#, 1)
roots:
(#^2 - 2, 2) 1.4142135623?
(#^4 - 10 #^2 + 1, 4) 3.1462643699?
signs:
- 0 + 0 +
--------------
p: x3^5 - x1 x3^4 - 4 x3^4 + 4 x1 x3^3 + 5 x3^3 - 5 x1 x3^2 - 2 x3^2 + 2 x1 x3 - x0 x3^4 + x0 x1 x3^3 + 4 x0 x3^3 - 4 x0 x1 x3^2 - 5 x0 x3^2 + 5 x0 x1 x3 + 2 x0 x3 - 2 x0 x1
x0 -> (#^2 - 2, 2)
x1 -> (#^2 - 3, 2)
x2 -> (#, 1)
roots:
(# - 1, 1) 1
(#^2 - 2, 2) 1.4142135623?
(#^2 - 3, 2) 1.7320508075?
(# - 2, 1) 2
signs:
- 0 - 0 + 0 - 0 +
d: 1
p: (x2^2) (x1) (0) (2 x2 + x1) 

p': (x1) (0) (6 x2 + 3 x1) 

h2: (6 x2^3 + 3 x1 x2^2) (4 x1 x2 + 2 x1^2) 

d: 2
h3: (216 x2^7 + 324 x1 x2^6 + 162 x1^2 x2^5 + 16 x1^3 x2^2 + 16 x1^4 x2 + 4 x1^5 + 27 x1^3 x2^4) 

sign(h3(v1,v2)): 1
sign(h2(v1,v2)): 1
sign(p'(v1,v2)): 1
sign(p(v1,v2)): -1
tmp: -1/2 -0.5
v0: -0.5
sign(h2(v1,v2)): 1
sign(p'(v1,v2)): 1
sign(p(v1,v2)): 1
--------------
p: x2 + x0 x1 + x1^2 + 2
x0 -> (#, 1)
x1 -> (#, 1)
x2 -> (#, 1)
sign: 2
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#, 1)
x1 -> (#, 1)
x2 -> (# + 2, 1)
sign: 0
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (# + 3, 1)
x1 -> (# - 1, 1)
x2 -> (# + 2, 1)
sign: -2
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (#, 1)
x2 -> (# + 2, 1)
sign: 0
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (#, 1)
x2 -> (# - 1, 1)
sign: 1
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (#, 1)
x2 -> (# + 3, 1)
sign: -1
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (# - 1, 1)
x2 -> (# + 3, 1)
sign: 1
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (# - 1, 1)
x2 -> (# + 4, 1)
sign: 1
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (# - 1, 1)
x2 -> (# + 5, 1)
sign: -1
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (#^2 - 2, 2)
x2 -> (# + 2, 1)
sign: 0
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (#^2 - 2, 2)
x2 -> (# + 3, 1)
sign: -1
--------------
p: - x2 + x0 x1 + x1^2 + 2
x0 -> (#^2 - 2, 2)
x1 -> (#^2 - 2, 2)
x2 -> (# + 3, 1)
sign: 1
----------
lower:  1/2^3 as decimal: 0.125
upper:  3/2^2 as decimal: 0.75
choice: 1/2 as decimal: 0.5
----------
lower:  1220703125/2^27 as decimal: 9.09494701?
upper:  1375/2^7 as decimal: 10.7421875
choice: 10 as decimal: 10
----------
lower:  1220703125/2^27 as decimal: 9.09494701?
upper:  10001/2^10 as decimal: 9.76660156?
choice: 19/2 as decimal: 9.5
----------
lower:  1 as decimal: 1
upper:  1 as decimal: 1
choice: 1 as decimal: 1
----------
lower:  1 as decimal: 1
upper:  2 as decimal: 2
choice: 1 as decimal: 1
----------
lower:  -1 as decimal: -1
upper:  -1 as decimal: -1
choice: -1 as decimal: -1
----------
lower:  -2 as decimal: -2
upper:  -1 as decimal: -1
choice: -2 as decimal: -2
----------
lower:  0 as decimal: 0
upper:  275/2^8 as decimal: 1.07421875
choice: 0 as decimal: 0
----------
lower:  7/2^3 as decimal: 0.875
upper:  1001/2^10 as decimal: 0.97753906?
choice: 7/2^3 as decimal: 0.875
----------
lower:  125/2^7 as decimal: 0.9765625
upper:  1001/2^10 as decimal: 0.97753906?
choice: 125/2^7 as decimal: 0.9765625
----------
lower:  4457915684525902395869512133369841539490161434991526715513934826241/2^192 as decimal: 710186941.75287040?
upper:  2228957842262951197934756066684920769745080717495763357756967413121/2^191 as decimal: 710186941.75287040?
choice: 2228957842262951197934756066684920769745080717495763357756967413121/2^191 as decimal: 710186941.75287040?
----------
lower:  4457915684525902395869512133369841539490161434991526715513934826241/2^192 as decimal: 710186941.75287040?
upper:  4457915684525902395869512133369841539490161434991526715513934826497/2^192 as decimal: 710186941.75287040?
choice: 4353433285669826558466320442743985878408360776358912808119076979/2^182 as decimal: 710186941.75287040?
two101: 1.0650410894? (#^11 - 2, 1)
two103: 1.1040895136? (#^7 - 2, 1)
sum1: 2.1691306031? (#^77 - 22 #^70 - 14 #^66 + 220 #^63 - 544236 #^59 - 1320 #^56 + 84 #^55 - 97853448 #^52 + 5280 #^49 - 25531352 #^48 - 2670956288 #^45 - 280 #^44 - 14784 #^42 + 20445649840 #^41 - 20052576544 #^38 - 155813504 #^37 + 29568 #^35 - 850951467520 #^34 + 560 #^33 - 50308241984 #^31 - 120170824928 #^30 - 42240 #^28 + 4024746461120 #^27 - 186825408 #^26 - 43405281920 #^24 - 1992710577088 #^23 - 672 #^22 + 42240 #^21 - 2544211567744 #^20 + 34723106880 #^19 - 11504100608 #^17 - 1268310460032 #^16 - 37166976 #^15 - 28160 #^14 + 171371574528 #^13 - 38011467648 #^12 + 448 #^11 - 650890240 #^10 - 20646191104 #^9 - 198253440 #^8 + 11264 #^7 - 495599104 #^6 + 96233984 #^5 - 295680 #^4 - 2050048 #^3 - 670208 #^2 - 19712 # - 2176, 1)
Wilkinson's polynomial: x0^20 - 210 x0^19 + 20615 x0^18 - 1256850 x0^17 + 53327946 x0^16 - 1672280820 x0^15 + 40171771630 x0^14 - 756111184500 x0^13 + 11310276995381 x0^12 - 135585182899530 x0^11 + 1307535010540395 x0^10 - 10142299865511450 x0^9 + 63030812099294896 x0^8 - 311333643161390640 x0^7 + 1206647803780373360 x0^6 - 3599979517947607200 x0^5 + 8037811822645051776 x0^4 - 12870931245150988800 x0^3 + 13803759753640704000 x0^2 - 8752948036761600000 x0 + 2432902008176640000
p: x0^20 - 210 x0^19 + 20615 x0^18 - 1256850 x0^17 + 53327946 x0^16 - 1672280820 x0^15 + 40171771630 x0^14 - 756111184500 x0^13 + 11310276995381 x0^12 - 135585182899530 x0^11 + 1307535010540395 x0^10 - 10142299865511450 x0^9 + 63030812099294896 x0^8 - 311333643161390640 x0^7 + 1206647803780373360 x0^6 - 3599979517947607200 x0^5 + 8037811822645051776 x0^4 - 12870931245150988800 x0^3 + 13803759753640704000 x0^2 - 8752948036761600000 x0 + 2432902008176640000
numbers in decimal:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
numbers as root objects
(# - 1, 1)
(# - 2, 1)
(# - 3, 1)
(# - 4, 1)
(# - 5, 1)
(# - 6, 1)
(# - 7, 1)
(# - 8, 1)
(# - 9, 1)
(# - 10, 1)
(# - 11, 1)
(# - 12, 1)
(# - 13, 1)
(# - 14, 1)
(# - 15, 1)
(# - 16, 1)
(# - 17, 1)
(# - 18, 1)
(# - 19, 1)
(# - 20, 1)
numbers as intervals
[1, 1]
[2, 2]
[3, 3]
[4, 4]
[5, 5]
[6, 6]
[7, 7]
[8, 8]
[9, 9]
[10, 10]
[11, 11]
[12, 12]
[13, 13]
[14, 14]
[15, 15]
[16, 16]
[17, 17]
[18, 18]
[19, 19]
[20, 20]
p: 3 x0 - 2
numbers in decimal:
0.6666666666?
numbers as root objects
(3 # - 2, 1)
numbers as intervals
[2/3, 2/3]
p: x0^2 - 2
numbers in decimal:
-1.4142135623?
1.4142135623?
numbers as root objects
(#^2 - 2, 1)
(#^2 - 2, 2)
numbers as intervals
(-4, 0)
(0, 4)
sqrt(2) + 1/3: 1.7475468957? (1/2, 13/2^2) (9 #^2 - 6 # - 17, 2)
-sqrt(2) + 1/3: -1.0808802290? (-11/2^2, 0) (9 #^2 - 6 # - 17, 1)
p: x0^7 - 3 x0^6 + 2 x0^5 - x0^3 + 2 x0^2 + x0 - 2
numbers in decimal:
1
1.1673039782?
2
numbers as root objects
(# - 1, 1)
(#^5 - # - 1, 1)
(# - 2, 1)
numbers as intervals
[1, 1]
(0, 4)
[2, 2]
compare(1.4142135623?, 1.1673039782?): 1
()
p: x0^4 - 5 x0^2 + 6
numbers in decimal:
-1.7320508075?
-1.4142135623?
1.4142135623?
1.7320508075?
numbers as root objects
(#^2 - 3, 1)
(#^2 - 2, 1)
(#^2 - 2, 2)
(#^2 - 3, 2)
numbers as intervals
(-2, -3/2)
(-3/2, -1)
(1, 3/2)
(3/2, 2)
compare(1.4142135623?, 1.4142135623?): 0
()
sqrt(2)^4: 4
sqrt2 + gauss: 2.5815175406? (#^10 - 10 #^8 + 38 #^6 - 2 #^5 - 100 #^4 - 40 #^3 + 121 #^2 - 38 # - 17, 2)
sqrt2*sqrt2: 2
sqrt2*sqrt2 == 2: 1
(-3)^(1/5): -1.2457309396?
sqrt(2)^(1/3): 1.1224620483?
as-root-object(sqrt(2)^(1/3)): (#^6 - 2, 2)
(sqrt(2) + 1)^(1/3): 1.3415037626?
as-root-object((sqrt(2) + 1)^(1/3)): (#^6 - 2 #^3 - 1, 2)
(sqrt(2) + gauss)^(1/5): 1.2088572404?
as-root-object(sqrt(2) + gauss)^(1/5): (#^50 - 10 #^40 + 38 #^30 - 2 #^25 - 100 #^20 - 40 #^15 + 121 #^10 - 38 #^5 - 17, 2)
(sqrt(2) / sqrt(2)): 1
(sqrt(2) / gauss): 1.2115212392?
(sqrt(2) / gauss) 30 digits: 1.211521239291433957983023270852?
as-root-object(sqrt(2) / gauss): (#^10 - 2 #^8 + 16 #^4 - 32, 2)
is_int(sqrt(2)^(1/3)): 0
1/sqrt(2): 0.7071067811?
4*1/sqrt(2): 2.8284271247?  (#^2 - 8, 2)
sqrt(2)*4*(1/sqrt2): 4  (# - 4, 1)
is_int(sqrt(2)*4*(1/sqrt2)): 1, after is-int: 4
p: 998 x0^3 - 14970 x0 - 1414 x0^2 + 21210
is-rational(sqrt2): 0
qr: (499 # - 707, 1), is-rational: 1, val: (499 # - 707, 1)
using refine upper...
5/2^3 < 5/7 < 5/2^2
0.625 < 0.71428571428571428571? < 1.25
5/2^3 < 5/7 < 15/2^4
0.625 < 0.71428571428571428571? < 0.9375
5/2^3 < 5/7 < 25/2^5
0.625 < 0.71428571428571428571? < 0.78125
45/2^6 < 5/7 < 95/2^7
0.703125 < 0.71428571428571428571? < 0.7421875
45/2^6 < 5/7 < 185/2^8
0.703125 < 0.71428571428571428571? < 0.72265625
365/2^9 < 5/7 < 735/2^10
0.712890625 < 0.71428571428571428571? < 0.7177734375
365/2^9 < 5/7 < 1465/2^11
0.712890625 < 0.71428571428571428571? < 0.71533203125
2925/2^12 < 5/7 < 5855/2^13
0.714111328125 < 0.71428571428571428571? < 0.7147216796875
2925/2^12 < 5/7 < 11705/2^14
0.714111328125 < 0.71428571428571428571? < 0.71441650390625
23405/2^15 < 5/7 < 46815/2^16
0.714263916015625 < 0.71428571428571428571? < 0.7143402099609375
23405/2^15 < 5/7 < 93625/2^17
0.714263916015625 < 0.71428571428571428571? < 0.71430206298828125
187245/2^18 < 5/7 < 374495/2^19
0.714282989501953125 < 0.71428571428571428571? < 0.7142925262451171875
187245/2^18 < 5/7 < 748985/2^20
0.714282989501953125 < 0.71428571428571428571? < 0.71428775787353515625
1497965/2^21 < 5/7 < 2995935/2^22
0.71428537368774414062? < 0.71428571428571428571? < 0.71428656578063964843?
1497965/2^21 < 5/7 < 5991865/2^23
0.71428537368774414062? < 0.71428571428571428571? < 0.71428596973419189453?
11983725/2^24 < 5/7 < 23967455/2^25
0.71428567171096801757? < 0.71428571428571428571? < 0.71428582072257995605?
11983725/2^24 < 5/7 < 47934905/2^26
0.71428567171096801757? < 0.71428571428571428571? < 0.71428574621677398681?
95869805/2^27 < 5/7 < 191739615/2^28
0.71428570896387100219? < 0.71428571428571428571? < 0.71428572759032249450?
95869805/2^27 < 5/7 < 383479225/2^29
0.71428570896387100219? < 0.71428571428571428571? < 0.71428571827709674835?
766958445/2^30 < 5/7 < 1533916895/2^31
0.71428571362048387527? < 0.71428571428571428571? < 0.71428571594879031181?
using refine lower...
5/2^3 < 5/7 < 5/2^2
0.625 < 0.71428571428571428571? < 1.25
45/2^6 < 5/7 < 25/2^5
0.703125 < 0.71428571428571428571? < 0.78125
365/2^9 < 5/7 < 185/2^8
0.712890625 < 0.71428571428571428571? < 0.72265625
2925/2^12 < 5/7 < 1465/2^11
0.714111328125 < 0.71428571428571428571? < 0.71533203125
23405/2^15 < 5/7 < 11705/2^14
0.714263916015625 < 0.71428571428571428571? < 0.71441650390625
187245/2^18 < 5/7 < 93625/2^17
0.714282989501953125 < 0.71428571428571428571? < 0.71430206298828125
1497965/2^21 < 5/7 < 748985/2^20
0.71428537368774414062? < 0.71428571428571428571? < 0.71428775787353515625
11983725/2^24 < 5/7 < 5991865/2^23
0.71428567171096801757? < 0.71428571428571428571? < 0.71428596973419189453?
95869805/2^27 < 5/7 < 47934905/2^26
0.71428570896387100219? < 0.71428571428571428571? < 0.71428574621677398681?
766958445/2^30 < 5/7 < 383479225/2^29
0.71428571362048387527? < 0.71428571428571428571? < 0.71428571827709674835?
6135667565/2^33 < 5/7 < 3067833785/2^32
0.71428571420256048440? < 0.71428571428571428571? < 0.71428571478463709354?
49085340525/2^36 < 5/7 < 24542670265/2^35
0.71428571427532006055? < 0.71428571428571428571? < 0.71428571434807963669?
392682724205/2^39 < 5/7 < 196341362105/2^38
0.71428571428441500756? < 0.71428571428571428571? < 0.71428571429350995458?
3141461793645/2^42 < 5/7 < 1570730896825/2^41
0.71428571428555187594? < 0.71428571428571428571? < 0.71428571428668874432?
25131694349165/2^45 < 5/7 < 12565847174585/2^44
0.71428571428569398449? < 0.71428571428571428571? < 0.71428571428583609304?
201053554793325/2^48 < 5/7 < 100526777396665/2^47
0.71428571428571174806? < 0.71428571428571428571? < 0.71428571428572951163?
1608428438346605/2^51 < 5/7 < 804214219173305/2^50
0.71428571428571396850? < 0.71428571428571428571? < 0.71428571428571618895?
12867427506772845/2^54 < 5/7 < 6433713753386425/2^53
0.71428571428571424606? < 0.71428571428571428571? < 0.71428571428571452361?
102939420054182765/2^57 < 5/7 < 51469710027091385/2^56
0.71428571428571428075? < 0.71428571428571428571? < 0.71428571428571431545?
823515360433462125/2^60 < 5/7 < 411757680216731065/2^59
0.71428571428571428509? < 0.71428571428571428571? < 0.71428571428571428943?
PASS
(test algebraic :time 3.42 :before-memory 1465.83 :after-memory 1465.83)
root: 2
root: (#^4 - 4, 2)
--------------
p: x1 x3 + 1
x0 -> (#, 1)
x1 -> (#, 1)
x2 -> (#, 1)
roots:
signs:
+
--------------
p: x1 x3 + 1
x0 -> (#, 1)
x1 -> (# - 1, 1)
x2 -> (#, 1)
roots:
(# + 1, 1) -1
signs:
- 0 +
--------------
p: x1 x3 + 1
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#, 1)
roots:
(2 #^2 - 1, 1) -0.7071067811?
signs:
- 0 +
--------------
p: x2 x3 + x1 x3 + 1
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#^2 - 2, 2)
roots:
(8 #^2 - 1, 1) -0.3535533905?
signs:
- 0 +
--------------
p: x2 x3 + x1 x3 + x1 x2 + 2
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#^2 - 2, 2)
roots:
(#^2 - 2, 1) -1.4142135623?
signs:
- 0 +
--------------
p: x2 x3^3 + x1 x3^3 + x1 x2 + 2
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#^2 - 2, 2)
roots:
(#^6 - 2, 1) -1.1224620483?
signs:
- 0 +
--------------
p: x2 x3^2 + x1 x3^2 - x1 x2 - 2
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#^2 - 2, 2)
roots:
(#^4 - 2, 1) -1.1892071150?
(#^4 - 2, 2) 1.1892071150?
signs:
+ 0 - 0 +
--------------
p: x0 x2 x3^2 + x0 x1 x3^2 - x0 x1 x2 - 2
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#^2 - 2, 2)
roots:
signs:
-
--------------
p: - x2 x3 + x1 x3 + x1 x2 - 2
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#^2 - 2, 2)
roots:
signs:
0
--------------
p: - x2 x3^3 + x1 x3^3 + x1 x2 - 2
x0 -> (#, 1)
x1 -> (#^2 - 2, 2)
x2 -> (#^2 - 2, 2)
roots:
signs:
0
--------------
p: x3^2 - 2 x0 x3 - x1 x3 + x0^2 + x0 x1
x0 -> (#^2 - 2, 2)
x1 -> (#^2 - 3, 2)
x2 -> (#, 1)
roots:
(#^2 - 2, 2) 1.4142135623?
(#^4 - 10 #^2 + 1, 4) 3.1462643699?
signs:
+ 0 - 0 +
--------------
p: x3^3 - 3 x0 x3^2 - 2 x1 x3^2 + 3 x0^2 x3 + 4 x0 x1 x3 + x1^2 x3 - x0^3 - 2 x0^2 x1 - x0 x1^2
x0 -> (#^2 - 2, 2)
x1 -> (#^2 - 3, 2)
x2 -> (#, 1)
roots:
(#^2 - 2, 2) 1.4142135623?
(#^4 - 10 #^2 + 1, 4) 3.1462643699?
signs:
- 0 + 0 +
--------------
p: x3^5 - x1 x3^4 - 4 x3^4 + 4 x1 x3^3 + 5 x3^3 - 5 x1 x3^2 - 2 x3^2 + 2 x1 x3 - x0 x3^4 + x0 x1 x3^3 + 4 x0 x3^3 - 4 x0 x1 x3^2 - 5 x0 x3^2 + 5 x0 x1 x3 + 2 x0 x3 - 2 x0 x1
x0 -> (#^2 - 2, 2)
x1 -> (#^2 - 3, 2)
x2 -> (#, 1)
roots:
(# - 1, 1) 1
(#^2 - 2, 2) 1.4142135623?
(#^2 - 3, 2) 1.7320508075?
(# - 2, 1) 2
signs:
- 0 - 0 + 0 - 0 +
d: 1
p: (x2^2) (x1) (0) (2 x2 + x1) 

p': (x1) (0) (6 x2 + 3 x1) 

h2: (6 x2^3 + 3 x1 x2^2) (4 x1 x2 + 2 x1^2) 

d: 2
h3: (216 x2^7 + 324 x1 x2^6 + 162 x1^2 x2^5 + 16 x1^3 x2^2 + 16 x1^4 x2 + 4 x1^5 + 27 x1^3 x2^4) 

sign(h3(v1,v2)): 1
sign(h2(v1,v2)): 1
sign(p'(v1,v2)): 1
sign(p(v1,v2)): -1
tmp: -1/2 -0.5
v0: -0.5
sign(h2(v1,v2)): 1
sign(p'(v1,v2)): 1
sign(p(v1,v2)): 1
--------------
p: x2 + x0 x1 + x1^2 + 2
x0 -> (#, 1)
x1 -> (#, 1)
x2 -> (#, 1)
sign: 2
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#, 1)
x1 -> (#, 1)
x2 -> (# + 2, 1)
sign: 0
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (# + 3, 1)
x1 -> (# - 1, 1)
x2 -> (# + 2, 1)
sign: -2
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (#, 1)
x2 -> (# + 2, 1)
sign: 0
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (#, 1)
x2 -> (# - 1, 1)
sign: 1
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (#, 1)
x2 -> (# + 3, 1)
sign: -1
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (# - 1, 1)
x2 -> (# + 3, 1)
sign: 1
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (# - 1, 1)
x2 -> (# + 4, 1)
sign: 1
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (# - 1, 1)
x2 -> (# + 5, 1)
sign: -1
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (#^2 - 2, 2)
x2 -> (# + 2, 1)
sign: 0
--------------
p: x2 + x1^2 + x0 x1 + 2
x0 -> (#^2 - 2, 2)
x1 -> (#^2 - 2, 2)
x2 -> (# + 3, 1)
sign: -1
--------------
p: - x2 + x0 x1 + x1^2 + 2
x0 -> (#^2 - 2, 2)
x1 -> (#^2 - 2, 2)
x2 -> (# + 3, 1)
sign: 1
----------
lower:  1/2^3 as decimal: 0.125
upper:  3/2^2 as decimal: 0.75
choice: 1/2 as decimal: 0.5
----------
lower:  1220703125/2^27 as decimal: 9.09494701?
upper:  1375/2^7 as decimal: 10.7421875
choice: 10 as decimal: 10
----------
lower:  1220703125/2^27 as decimal: 9.09494701?
upper:  10001/2^10 as decimal: 9.76660156?
choice: 19/2 as decimal: 9.5
----------
lower:  1 as decimal: 1
upper:  1 as decimal: 1
choice: 1 as decimal: 1
----------
lower:  1 as decimal: 1
upper:  2 as decimal: 2
choice: 1 as decimal: 1
----------
lower:  -1 as decimal: -1
upper:  -1 as decimal: -1
choice: -1 as decimal: -1
----------
lower:  -2 as decimal: -2
upper:  -1 as decimal: -1
choice: -2 as decimal: -2
----------
lower:  0 as decimal: 0
upper:  275/2^8 as decimal: 1.07421875
choice: 0 as decimal: 0
----------
lower:  7/2^3 as decimal: 0.875
upper:  1001/2^10 as decimal: 0.97753906?
choice: 7/2^3 as decimal: 0.875
----------
lower:  125/2^7 as decimal: 0.9765625
upper:  1001/2^10 as decimal: 0.97753906?
choice: 125/2^7 as decimal: 0.9765625
----------
lower:  4457915684525902395869512133369841539490161434991526715513934826241/2^192 as decimal: 710186941.75287040?
upper:  2228957842262951197934756066684920769745080717495763357756967413121/2^191 as decimal: 710186941.75287040?
choice: 2228957842262951197934756066684920769745080717495763357756967413121/2^191 as decimal: 710186941.75287040?
----------
lower:  4457915684525902395869512133369841539490161434991526715513934826241/2^192 as decimal: 710186941.75287040?
upper:  4457915684525902395869512133369841539490161434991526715513934826497/2^192 as decimal: 710186941.75287040?
choice: 4353433285669826558466320442743985878408360776358912808119076979/2^182 as decimal: 710186941.75287040?
two101: 1.0650410894? (#^11 - 2, 1)
two103: 1.1040895136? (#^7 - 2, 1)
sum1: 2.1691306031? (#^77 - 22 #^70 - 14 #^66 + 220 #^63 - 544236 #^59 - 1320 #^56 + 84 #^55 - 97853448 #^52 + 5280 #^49 - 25531352 #^48 - 2670956288 #^45 - 280 #^44 - 14784 #^42 + 20445649840 #^41 - 20052576544 #^38 - 155813504 #^37 + 29568 #^35 - 850951467520 #^34 + 560 #^33 - 50308241984 #^31 - 120170824928 #^30 - 42240 #^28 + 4024746461120 #^27 - 186825408 #^26 - 43405281920 #^24 - 1992710577088 #^23 - 672 #^22 + 42240 #^21 - 2544211567744 #^20 + 34723106880 #^19 - 11504100608 #^17 - 1268310460032 #^16 - 37166976 #^15 - 28160 #^14 + 171371574528 #^13 - 38011467648 #^12 + 448 #^11 - 650890240 #^10 - 20646191104 #^9 - 198253440 #^8 + 11264 #^7 - 495599104 #^6 + 96233984 #^5 - 295680 #^4 - 2050048 #^3 - 670208 #^2 - 19712 # - 2176, 1)
Wilkinson's polynomial: x0^20 - 210 x0^19 + 20615 x0^18 - 1256850 x0^17 + 53327946 x0^16 - 1672280820 x0^15 + 40171771630 x0^14 - 756111184500 x0^13 + 11310276995381 x0^12 - 135585182899530 x0^11 + 1307535010540395 x0^10 - 10142299865511450 x0^9 + 63030812099294896 x0^8 - 311333643161390640 x0^7 + 1206647803780373360 x0^6 - 3599979517947607200 x0^5 + 8037811822645051776 x0^4 - 12870931245150988800 x0^3 + 13803759753640704000 x0^2 - 8752948036761600000 x0 + 2432902008176640000
p: x0^20 - 210 x0^19 + 20615 x0^18 - 1256850 x0^17 + 53327946 x0^16 - 1672280820 x0^15 + 40171771630 x0^14 - 756111184500 x0^13 + 11310276995381 x0^12 - 135585182899530 x0^11 + 1307535010540395 x0^10 - 10142299865511450 x0^9 + 63030812099294896 x0^8 - 311333643161390640 x0^7 + 1206647803780373360 x0^6 - 3599979517947607200 x0^5 + 8037811822645051776 x0^4 - 12870931245150988800 x0^3 + 13803759753640704000 x0^2 - 8752948036761600000 x0 + 2432902008176640000
numbers in decimal:
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
numbers as root objects
(# - 1, 1)
(# - 2, 1)
(# - 3, 1)
(# - 4, 1)
(# - 5, 1)
(# - 6, 1)
(# - 7, 1)
(# - 8, 1)
(# - 9, 1)
(# - 10, 1)
(# - 11, 1)
(# - 12, 1)
(# - 13, 1)
(# - 14, 1)
(# - 15, 1)
(# - 16, 1)
(# - 17, 1)
(# - 18, 1)
(# - 19, 1)
(# - 20, 1)
numbers as intervals
[1, 1]
[2, 2]
[3, 3]
[4, 4]
[5, 5]
[6, 6]
[7, 7]
[8, 8]
[9, 9]
[10, 10]
[11, 11]
[12, 12]
[13, 13]
[14, 14]
[15, 15]
[16, 16]
[17, 17]
[18, 18]
[19, 19]
[20, 20]
p: 3 x0 - 2
numbers in decimal:
0.6666666666?
numbers as root objects
(3 # - 2, 1)
numbers as intervals
[2/3, 2/3]
p: x0^2 - 2
numbers in decimal:
-1.4142135623?
1.4142135623?
numbers as root objects
(#^2 - 2, 1)
(#^2 - 2, 2)
numbers as intervals
(-4, 0)
(0, 4)
sqrt(2) + 1/3: 1.7475468957? (1/2, 13/2^2) (9 #^2 - 6 # - 17, 2)
-sqrt(2) + 1/3: -1.0808802290? (-11/2^2, 0) (9 #^2 - 6 # - 17, 1)
p: x0^7 - 3 x0^6 + 2 x0^5 - x0^3 + 2 x0^2 + x0 - 2
numbers in decimal:
1
1.1673039782?
2
numbers as root objects
(# - 1, 1)
(#^5 - # - 1, 1)
(# - 2, 1)
numbers as intervals
[1, 1]
(0, 4)
[2, 2]
compare(1.4142135623?, 1.1673039782?): 1
()
p: x0^4 - 5 x0^2 + 6
numbers in decimal:
-1.7320508075?
-1.4142135623?
1.4142135623?
1.7320508075?
numbers as root objects
(#^2 - 3, 1)
(#^2 - 2, 1)
(#^2 - 2, 2)
(#^2 - 3, 2)
numbers as intervals
(-2, -3/2)
(-3/2, -1)
(1, 3/2)
(3/2, 2)
compare(1.4142135623?, 1.4142135623?): 0
()
sqrt(2)^4: 4
sqrt2 + gauss: 2.5815175406? (#^10 - 10 #^8 + 38 #^6 - 2 #^5 - 100 #^4 - 40 #^3 + 121 #^2 - 38 # - 17, 2)
sqrt2*sqrt2: 2
sqrt2*sqrt2 == 2: 1
(-3)^(1/5): -1.2457309396?
sqrt(2)^(1/3): 1.1224620483?
as-root-object(sqrt(2)^(1/3)): (#^6 - 2, 2)
(sqrt(2) + 1)^(1/3): 1.3415037626?
as-root-object((sqrt(2) + 1)^(1/3)): (#^6 - 2 #^3 - 1, 2)
(sqrt(2) + gauss)^(1/5): 1.2088572404?
as-root-object(sqrt(2) + gauss)^(1/5): (#^50 - 10 #^40 + 38 #^30 - 2 #^25 - 100 #^20 - 40 #^15 + 121 #^10 - 38 #^5 - 17, 2)
(sqrt(2) / sqrt(2)): 1
(sqrt(2) / gauss): 1.2115212392?
(sqrt(2) / gauss) 30 digits: 1.211521239291433957983023270852?
as-root-object(sqrt(2) / gauss): (#^10 - 2 #^8 + 16 #^4 - 32, 2)
is_int(sqrt(2)^(1/3)): 0
1/sqrt(2): 0.7071067811?
4*1/sqrt(2): 2.8284271247?  (#^2 - 8, 2)
sqrt(2)*4*(1/sqrt2): 4  (# - 4, 1)
is_int(sqrt(2)*4*(1/sqrt2)): 1, after is-int: 4
p: 998 x0^3 - 14970 x0 - 1414 x0^2 + 21210
is-rational(sqrt2): 0
qr: (499 # - 707, 1), is-rational: 1, val: (499 # - 707, 1)
using refine upper...
5/2^3 < 5/7 < 5/2^2
0.625 < 0.71428571428571428571? < 1.25
5/2^3 < 5/7 < 15/2^4
0.625 < 0.71428571428571428571? < 0.9375
5/2^3 < 5/7 < 25/2^5
0.625 < 0.71428571428571428571? < 0.78125
45/2^6 < 5/7 < 95/2^7
0.703125 < 0.71428571428571428571? < 0.7421875
45/2^6 < 5/7 < 185/2^8
0.703125 < 0.71428571428571428571? < 0.72265625
365/2^9 < 5/7 < 735/2^10
0.712890625 < 0.71428571428571428571? < 0.7177734375
365/2^9 < 5/7 < 1465/2^11
0.712890625 < 0.71428571428571428571? < 0.71533203125
2925/2^12 < 5/7 < 5855/2^13
0.714111328125 < 0.71428571428571428571? < 0.7147216796875
2925/2^12 < 5/7 < 11705/2^14
0.714111328125 < 0.71428571428571428571? < 0.71441650390625
23405/2^15 < 5/7 < 46815/2^16
0.714263916015625 < 0.71428571428571428571? < 0.7143402099609375
23405/2^15 < 5/7 < 93625/2^17
0.714263916015625 < 0.71428571428571428571? < 0.71430206298828125
187245/2^18 < 5/7 < 374495/2^19
0.714282989501953125 < 0.71428571428571428571? < 0.7142925262451171875
187245/2^18 < 5/7 < 748985/2^20
0.714282989501953125 < 0.71428571428571428571? < 0.71428775787353515625
1497965/2^21 < 5/7 < 2995935/2^22
0.71428537368774414062? < 0.71428571428571428571? < 0.71428656578063964843?
1497965/2^21 < 5/7 < 5991865/2^23
0.71428537368774414062? < 0.71428571428571428571? < 0.71428596973419189453?
11983725/2^24 < 5/7 < 23967455/2^25
0.71428567171096801757? < 0.71428571428571428571? < 0.71428582072257995605?
11983725/2^24 < 5/7 < 47934905/2^26
0.71428567171096801757? < 0.71428571428571428571? < 0.71428574621677398681?
95869805/2^27 < 5/7 < 191739615/2^28
0.71428570896387100219? < 0.71428571428571428571? < 0.71428572759032249450?
95869805/2^27 < 5/7 < 383479225/2^29
0.71428570896387100219? < 0.71428571428571428571? < 0.71428571827709674835?
766958445/2^30 < 5/7 < 1533916895/2^31
0.71428571362048387527? < 0.71428571428571428571? < 0.71428571594879031181?
using refine lower...
5/2^3 < 5/7 < 5/2^2
0.625 < 0.71428571428571428571? < 1.25
45/2^6 < 5/7 < 25/2^5
0.703125 < 0.71428571428571428571? < 0.78125
365/2^9 < 5/7 < 185/2^8
0.712890625 < 0.71428571428571428571? < 0.72265625
2925/2^12 < 5/7 < 1465/2^11
0.714111328125 < 0.71428571428571428571? < 0.71533203125
23405/2^15 < 5/7 < 11705/2^14
0.714263916015625 < 0.71428571428571428571? < 0.71441650390625
187245/2^18 < 5/7 < 93625/2^17
0.714282989501953125 < 0.71428571428571428571? < 0.71430206298828125
1497965/2^21 < 5/7 < 748985/2^20
0.71428537368774414062? < 0.71428571428571428571? < 0.71428775787353515625
11983725/2^24 < 5/7 < 5991865/2^23
0.71428567171096801757? < 0.71428571428571428571? < 0.71428596973419189453?
95869805/2^27 < 5/7 < 47934905/2^26
0.71428570896387100219? < 0.71428571428571428571? < 0.71428574621677398681?
766958445/2^30 < 5/7 < 383479225/2^29
0.71428571362048387527? < 0.71428571428571428571? < 0.71428571827709674835?
6135667565/2^33 < 5/7 < 3067833785/2^32
0.71428571420256048440? < 0.71428571428571428571? < 0.71428571478463709354?
49085340525/2^36 < 5/7 < 24542670265/2^35
0.71428571427532006055? < 0.71428571428571428571? < 0.71428571434807963669?
392682724205/2^39 < 5/7 < 196341362105/2^38
0.71428571428441500756? < 0.71428571428571428571? < 0.71428571429350995458?
3141461793645/2^42 < 5/7 < 1570730896825/2^41
0.71428571428555187594? < 0.71428571428571428571? < 0.71428571428668874432?
25131694349165/2^45 < 5/7 < 12565847174585/2^44
0.71428571428569398449? < 0.71428571428571428571? < 0.71428571428583609304?
201053554793325/2^48 < 5/7 < 100526777396665/2^47
0.71428571428571174806? < 0.71428571428571428571? < 0.71428571428572951163?
1608428438346605/2^51 < 5/7 < 804214219173305/2^50
0.71428571428571396850? < 0.71428571428571428571? < 0.71428571428571618895?
12867427506772845/2^54 < 5/7 < 6433713753386425/2^53
0.71428571428571424606? < 0.71428571428571428571? < 0.71428571428571452361?
102939420054182765/2^57 < 5/7 < 51469710027091385/2^56
0.71428571428571428075? < 0.71428571428571428571? < 0.71428571428571431545?
823515360433462125/2^60 < 5/7 < 411757680216731065/2^59
0.71428571428571428509? < 0.71428571428571428571? < 0.71428571428571428943?
PASS
(test algebraic :time 3.42 :before-memory 1465.83 :after-memory 1465.83)
PASS
(test polynomial_factorization :time 0.00 :before-memory 1465.83 :after-memory 1465.83)
PASS
(test polynomial_factorization :time 0.00 :before-memory 1465.83 :after-memory 1465.83)
2, 
3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 
41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 
89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 
149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 
199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 
269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 
337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 
401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 
463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 
547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 
613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 
677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 
757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 
829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 
911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 
991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 
1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 
1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 
1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 
1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 
1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 
1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 
1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 
1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 
1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 
1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 
1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 
1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 
2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 
2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 
2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 
2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 
2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 
2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 
2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 
2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 
2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 
2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 
2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 
3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 
3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 
3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 
3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 
3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 
3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 
3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 
3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 
3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 
3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 
3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 4001, 
4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, 
4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 
4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 
4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349, 4357, 
4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, 
4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, 4549, 
4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 
4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 
4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, 
4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943, 
4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, 
5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 
5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 
5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 5323, 
5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419, 
5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, 
5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 
5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 
5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 
5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861, 
5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 
5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 
6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, 
6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 
6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 
6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 
6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 
6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 
6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, 
6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 
6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 
6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 7001, 7013, 7019, 
7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129, 
7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, 
7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 
7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 
7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 
7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 
7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 
7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 
7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 7927, 7933, 
7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017, 8039, 8053, 8059, 
8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161, 
8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 8233, 8237, 8243, 
8263, 8269, 8273, 8287, 8291, 8293, 8297, 8311, 8317, 8329, 8353, 
8363, 8369, 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443, 8447, 
8461, 8467, 8501, 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 
8581, 8597, 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 
8677, 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, 
8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, 8837, 
8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, 8933, 8941, 
8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, 9013, 9029, 9041, 
9043, 9049, 9059, 9067, 9091, 9103, 9109, 9127, 9133, 9137, 9151, 
9157, 9161, 9173, 9181, 9187, 9199, 9203, 9209, 9221, 9227, 9239, 
9241, 9257, 9277, 9281, 9283, 9293, 9311, 9319, 9323, 9337, 9341, 
9343, 9349, 9371, 9377, 9391, 9397, 9403, 9413, 9419, 9421, 9431, 
9433, 9437, 9439, 9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 
9521, 9533, 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 
9631, 9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, 
9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, 9817, 
9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, 9901, 9907, 
9923, 9929, 9931, 9941, 9949, 9967, 9973, 10007, 10009, 10037, 10039, 
10061, 10067, 10069, 10079, 10091, 10093, 10099, 10103, 10111, 10133, 10139, 
10141, 10151, 10159, 10163, 10169, 10177, 10181, 10193, 10211, 10223, 10243, 
10247, 10253, 10259, 10267, 10271, 10273, 10289, 10301, 10303, 10313, 10321, 
10331, 10333, 10337, 10343, 10357, 10369, 10391, 10399, 10427, 10429, 10433, 
10453, 10457, 10459, 10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 
10559, 10567, 10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651, 
10657, 10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739, 
10753, 10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, 10861, 
10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949, 10957, 10973, 
10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, 11069, 11071, 11083, 
11087, 11093, 11113, 11117, 11119, 11131, 11149, 11159, 11161, 11171, 11173, 
11177, 11197, 11213, 11239, 11243, 11251, 11257, 11261, 11273, 11279, 11287, 
11299, 11311, 11317, 11321, 11329, 11351, 11353, 11369, 11383, 11393, 11399, 
11411, 11423, 11437, 11443, 11447, 11467, 11471, 11483, 11489, 11491, 11497, 
11503, 11519, 11527, 11549, 11551, 11579, 11587, 11593, 11597, 11617, 11621, 
11633, 11657, 11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 11743, 
11777, 11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833, 
11839, 11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933, 11939, 
11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, 12037, 12041, 
12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, 12113, 12119, 12143, 
12149, 12157, 12161, 12163, 12197, 12203, 12211, 12227, 12239, 12241, 12251, 
12253, 12263, 12269, 12277, 12281, 12289, 12301, 12323, 12329, 12343, 12347, 
12373, 12377, 12379, 12391, 12401, 12409, 12413, 12421, 12433, 12437, 12451, 
12457, 12473, 12479, 12487, 12491, 12497, 12503, 12511, 12517, 12527, 12539, 
12541, 12547, 12553, 12569, 12577, 12583, 12589, 12601, 12611, 12613, 12619, 
12637, 12641, 12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721, 
12739, 12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829, 
12841, 12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923, 12941, 
12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007, 13009, 13033, 
13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, 13121, 13127, 13147, 
13151, 13159, 13163, 13171, 13177, 13183, 13187, 13217, 13219, 13229, 13241, 
13249, 13259, 13267, 13291, 13297, 13309, 13313, 13327, 13331, 13337, 13339, 
13367, 13381, 13397, 13399, 13411, 13417, 13421, 13441, 13451, 13457, 13463, 
13469, 13477, 13487, 13499, 13513, 13523, 13537, 13553, 13567, 13577, 13591, 
13597, 13613, 13619, 13627, 13633, 13649, 13669, 13679, 13681, 13687, 13691, 
13693, 13697, 13709, 13711, 13721, 13723, 13729, 13751, 13757, 13759, 13763, 
13781, 13789, 13799, 13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879, 
13883, 13901, 13903, 13907, 13913, 13921, 13931, 13933, 13963, 13967, 13997, 
13999, 14009, 14011, 14029, 14033, 14051, 14057, 14071, 14081, 14083, 14087, 
14107, 14143, 14149, 14153, 14159, 14173, 14177, 14197, 14207, 14221, 14243, 
14249, 14251, 14281, 14293, 14303, 14321, 14323, 14327, 14341, 14347, 14369, 
14387, 14389, 14401, 14407, 14411, 14419, 14423, 14431, 14437, 14447, 14449, 
14461, 14479, 14489, 14503, 14519, 14533, 14537, 14543, 14549, 14551, 14557, 
14561, 14563, 14591, 14593, 14621, 14627, 14629, 14633, 14639, 14653, 14657, 
14669, 14683, 14699, 14713, 14717, 14723, 14731, 14737, 14741, 14747, 14753, 
14759, 14767, 14771, 14779, 14783, 14797, 14813, 14821, 14827, 14831, 14843, 
14851, 14867, 14869, 14879, 14887, 14891, 14897, 14923, 14929, 14939, 14947, 
14951, 14957, 14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073, 15077, 
15083, 15091, 15101, 15107, 15121, 15131, 15137, 15139, 15149, 15161, 15173, 
15187, 15193, 15199, 15217, 15227, 15233, 15241, 15259, 15263, 15269, 15271, 
15277, 15287, 15289, 15299, 15307, 15313, 15319, 15329, 15331, 15349, 15359, 
15361, 15373, 15377, 15383, 15391, 15401, 15413, 15427, 15439, 15443, 15451, 
15461, 15467, 15473, 15493, 15497, 15511, 15527, 15541, 15551, 15559, 15569, 
15581, 15583, 15601, 15607, 15619, 15629, 15641, 15643, 15647, 15649, 15661, 
15667, 15671, 15679, 15683, 15727, 15731, 15733, 15737, 15739, 15749, 15761, 
15767, 15773, 15787, 15791, 15797, 15803, 15809, 15817, 15823, 15859, 15877, 
15881, 15887, 15889, 15901, 15907, 15913, 15919, 15923, 15937, 15959, 15971, 
15973, 15991, 16001, 16007, 16033, 16057, 16061, 16063, 16067, 16069, 16073, 
16087, 16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183, 16187, 16189, 
16193, 16217, 16223, 16229, 16231, 16249, 16253, 16267, 16273, 16301, 16319, 
16333, 16339, 16349, 16361, 16363, 16369, 16381, 16411, 16417, 16421, 16427, 
16433, 16447, 16451, 16453, 16477, 16481, 16487, 16493, 16519, 16529, 16547, 
16553, 16561, 16567, 16573, 16603, 16607, 16619, 16631, 16633, 16649, 16651, 
16657, 16661, 16673, 16691, 16693, 16699, 16703, 16729, 16741, 16747, 16759, 
16763, 16787, 16811, 16823, 16829, 16831, 16843, 16871, 16879, 16883, 16889, 
16901, 16903, 16921, 16927, 16931, 16937, 16943, 16963, 16979, 16981, 16987, 
16993, 17011, 17021, 17027, 17029, 17033, 17041, 17047, 17053, 17077, 17093, 
17099, 17107, 17117, 17123, 17137, 17159, 17167, 17183, 17189, 17191, 17203, 
17207, 17209, 17231, 17239, 17257, 17291, 17293, 17299, 17317, 17321, 17327, 
17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389, 17393, 17401, 17417, 
17419, 17431, 17443, 17449, 17467, 17471, 17477, 17483, 17489, 17491, 17497, 
17509, 17519, 17539, 17551, 17569, 17573, 17579, 17581, 17597, 17599, 17609, 
17623, 17627, 17657, 17659, 17669, 17681, 17683, 17707, 17713, 17729, 17737, 
17747, 17749, 17761, 17783, 17789, 17791, 17807, 17827, 17837, 17839, 17851, 
17863, 17881, 17891, 17903, 17909, 17911, 17921, 17923, 17929, 17939, 17957, 
17959, 17971, 17977, 17981, 17987, 17989, 18013, 18041, 18043, 18047, 18049, 
18059, 18061, 18077, 18089, 18097, 18119, 18121, 18127, 18131, 18133, 18143, 
18149, 18169, 18181, 18191, 18199, 18211, 18217, 18223, 18229, 18233, 18251, 
18253, 18257, 18269, 18287, 18289, 18301, 18307, 18311, 18313, 18329, 18341, 
18353, 18367, 18371, 18379, 18397, 18401, 18413, 18427, 18433, 18439, 18443, 
18451, 18457, 18461, 18481, 18493, 18503, 18517, 18521, 18523, 18539, 18541, 
18553, 18583, 18587, 18593, 18617, 18637, 18661, 18671, 18679, 18691, 18701, 
18713, 18719, 18731, 18743, 18749, 18757, 18773, 18787, 18793, 18797, 18803, 
18839, 18859, 18869, 18899, 18911, 18913, 18917, 18919, 18947, 18959, 18973, 
18979, 19001, 19009, 19013, 19031, 19037, 19051, 19069, 19073, 19079, 19081, 
19087, 19121, 19139, 19141, 19157, 19163, 19181, 19183, 19207, 19211, 19213, 
19219, 19231, 19237, 19249, 19259, 19267, 19273, 19289, 19301, 19309, 19319, 
19333, 19373, 19379, 19381, 19387, 19391, 19403, 19417, 19421, 19423, 19427, 
19429, 19433, 19441, 19447, 19457, 19463, 19469, 19471, 19477, 19483, 19489, 
19501, 19507, 19531, 19541, 19543, 19553, 19559, 19571, 19577, 19583, 19597, 
19603, 19609, 19661, 19681, 19687, 19697, 19699, 19709, 19717, 19727, 19739, 
19751, 19753, 19759, 19763, 19777, 19793, 19801, 19813, 19819, 19841, 19843, 
19853, 19861, 19867, 19889, 19891, 19913, 19919, 19927, 19937, 19949, 19961, 
19963, 19973, 19979, 19991, 19993, 19997, 20011, 20021, 20023, 20029, 20047, 
20051, 20063, 20071, 20089, 20101, 20107, 20113, 20117, 20123, 20129, 20143, 
20147, 20149, 20161, 20173, 20177, 20183, 20201, 20219, 20231, 20233, 20249, 
20261, 20269, 20287, 20297, 20323, 20327, 20333, 20341, 20347, 20353, 20357, 
20359, 20369, 20389, 20393, 20399, 20407, 20411, 20431, 20441, 20443, 20477, 
20479, 20483, 20507, 20509, 20521, 20533, 20543, 20549, 20551, 20563, 20593, 
20599, 20611, 20627, 20639, 20641, 20663, 20681, 20693, 20707, 20717, 20719, 
20731, 20743, 20747, 20749, 20753, 20759, 20771, 20773, 20789, 20807, 20809, 
20849, 20857, 20873, 20879, 20887, 20897, 20899, 20903, 20921, 20929, 20939, 
20947, 20959, 20963, 20981, 20983, 21001, 21011, 21013, 21017, 21019, 21023, 
21031, 21059, 21061, 21067, 21089, 21101, 21107, 21121, 21139, 21143, 21149, 
21157, 21163, 21169, 21179, 21187, 21191, 21193, 21211, 21221, 21227, 21247, 
21269, 21277, 21283, 21313, 21317, 21319, 21323, 21341, 21347, 21377, 21379, 
21383, 21391, 21397, 21401, 21407, 21419, 21433, 21467, 21481, 21487, 21491, 
21493, 21499, 21503, 21517, 21521, 21523, 21529, 21557, 21559, 21563, 21569, 
21577, 21587, 21589, 21599, 21601, 21611, 21613, 21617, 21647, 21649, 21661, 
21673, 21683, 21701, 21713, 21727, 21737, 21739, 21751, 21757, 21767, 21773, 
21787, 21799, 21803, 21817, 21821, 21839, 21841, 21851, 21859, 21863, 21871, 
21881, 21893, 21911, 21929, 21937, 21943, 21961, 21977, 21991, 21997, 22003, 
22013, 22027, 22031, 22037, 22039, 22051, 22063, 22067, 22073, 22079, 22091, 
22093, 22109, 22111, 22123, 22129, 22133, 22147, 22153, 22157, 22159, 22171, 
22189, 22193, 22229, 22247, 22259, 22271, 22273, 22277, 22279, 22283, 22291, 
22303, 22307, 22343, 22349, 22367, 22369, 22381, 22391, 22397, 22409, 22433, 
22441, 22447, 22453, 22469, 22481, 22483, 22501, 22511, 22531, 22541, 22543, 
22549, 22567, 22571, 22573, 22613, 22619, 22621, 22637, 22639, 22643, 22651, 
22669, 22679, 22691, 22697, 22699, 22709, 22717, 22721, 22727, 22739, 22741, 
22751, 22769, 22777, 22783, 22787, 22807, 22811, 22817, 22853, 22859, 22861, 
22871, 22877, 22901, 22907, 22921, 22937, 22943, 22961, 22963, 22973, 22993, 
23003, 23011, 23017, 23021, 23027, 23029, 23039, 23041, 23053, 23057, 23059, 
23063, 23071, 23081, 23087, 23099, 23117, 23131, 23143, 23159, 23167, 23173, 
23189, 23197, 23201, 23203, 23209, 23227, 23251, 23269, 23279, 23291, 23293, 
23297, 23311, 23321, 23327, 23333, 23339, 23357, 23369, 23371, 23399, 23417, 
23431, 23447, 23459, 23473, 23497, 23509, 23531, 23537, 23539, 23549, 23557, 
23561, 23563, 23567, 23581, 23593, 23599, 23603, 23609, 23623, 23627, 23629, 
23633, 23663, 23669, 23671, 23677, 23687, 23689, 23719, 23741, 23743, 23747, 
23753, 23761, 23767, 23773, 23789, 23801, 23813, 23819, 23827, 23831, 23833, 
23857, 23869, 23873, 23879, 23887, 23893, 23899, 23909, 23911, 23917, 23929, 
23957, 23971, 23977, 23981, 23993, 24001, 24007, 24019, 24023, 24029, 24043, 
24049, 24061, 24071, 24077, 24083, 24091, 24097, 24103, 24107, 24109, 24113, 
24121, 24133, 24137, 24151, 24169, 24179, 24181, 24197, 24203, 24223, 24229, 
24239, 24247, 24251, 24281, 24317, 24329, 24337, 24359, 24371, 24373, 24379, 
24391, 24407, 24413, 24419, 24421, 24439, 24443, 24469, 24473, 24481, 24499, 
24509, 24517, 24527, 24533, 24547, 24551, 24571, 24593, 24611, 24623, 24631, 
24659, 24671, 24677, 24683, 24691, 24697, 24709, 24733, 24749, 24763, 24767, 
24781, 24793, 24799, 24809, 24821, 24841, 24847, 24851, 24859, 24877, 24889, 
24907, 24917, 24919, 24923, 24943, 24953, 24967, 24971, 24977, 24979, 24989, 
25013, 25031, 25033, 25037, 25057, 25073, 25087, 25097, 25111, 25117, 25121, 
25127, 25147, 25153, 25163, 25169, 25171, 25183, 25189, 25219, 25229, 25237, 
25243, 25247, 25253, 25261, 25301, 25303, 25307, 25309, 25321, 25339, 25343, 
25349, 25357, 25367, 25373, 25391, 25409, 25411, 25423, 25439, 25447, 25453, 
25457, 25463, 25469, 25471, 25523, 25537, 25541, 25561, 25577, 25579, 25583, 
25589, 25601, 25603, 25609, 25621, 25633, 25639, 25643, 25657, 25667, 25673, 
25679, 25693, 25703, 25717, 25733, 25741, 25747, 25759, 25763, 25771, 25793, 
25799, 25801, 25819, 25841, 25847, 25849, 25867, 25873, 25889, 25903, 25913, 
25919, 25931, 25933, 25939, 25943, 25951, 25969, 25981, 25997, 25999, 26003, 
26017, 26021, 26029, 26041, 26053, 26083, 26099, 26107, 26111, 26113, 26119, 
26141, 26153, 26161, 26171, 26177, 26183, 26189, 26203, 26209, 26227, 26237, 
26249, 26251, 26261, 26263, 26267, 26293, 26297, 26309, 26317, 26321, 26339, 
26347, 26357, 26371, 26387, 26393, 26399, 26407, 26417, 26423, 26431, 26437, 
26449, 26459, 26479, 26489, 26497, 26501, 26513, 26539, 26557, 26561, 26573, 
26591, 26597, 26627, 26633, 26641, 26647, 26669, 26681, 26683, 26687, 26693, 
26699, 26701, 26711, 26713, 26717, 26723, 26729, 26731, 26737, 26759, 26777, 
26783, 26801, 26813, 26821, 26833, 26839, 26849, 26861, 26863, 26879, 26881, 
26891, 26893, 26903, 26921, 26927, 26947, 26951, 26953, 26959, 26981, 26987, 
26993, 27011, 27017, 27031, 27043, 27059, 27061, 27067, 27073, 27077, 27091, 
27103, 27107, 27109, 27127, 27143, 27179, 27191, 27197, 27211, 27239, 27241, 
27253, 27259, 27271, 27277, 27281, 27283, 27299, 27329, 27337, 27361, 27367, 
27397, 27407, 27409, 27427, 27431, 27437, 27449, 27457, 27479, 27481, 27487, 
27509, 27527, 27529, 27539, 27541, 27551, 27581, 27583, 27611, 27617, 27631, 
27647, 27653, 27673, 27689, 27691, 27697, 27701, 27733, 27737, 27739, 27743, 
27749, 27751, 27763, 27767, 27773, 27779, 27791, 27793, 27799, 27803, 27809, 
27817, 27823, 27827, 27847, 27851, 27883, 27893, 27901, 27917, 27919, 27941, 
27943, 27947, 27953, 27961, 27967, 27983, 27997, 28001, 28019, 28027, 28031, 
28051, 28057, 28069, 28081, 28087, 28097, 28099, 28109, 28111, 28123, 28151, 
28163, 28181, 28183, 28201, 28211, 28219, 28229, 28277, 28279, 28283, 28289, 
28297, 28307, 28309, 28319, 28349, 28351, 28387, 28393, 28403, 28409, 28411, 
28429, 28433, 28439, 28447, 28463, 28477, 28493, 28499, 28513, 28517, 28537, 
28541, 28547, 28549, 28559, 28571, 28573, 28579, 28591, 28597, 28603, 28607, 
28619, 28621, 28627, 28631, 28643, 28649, 28657, 28661, 28663, 28669, 28687, 
28697, 28703, 28711, 28723, 28729, 28751, 28753, 28759, 28771, 28789, 28793, 
28807, 28813, 28817, 28837, 28843, 28859, 28867, 28871, 28879, 28901, 28909, 
28921, 28927, 28933, 28949, 28961, 28979, 29009, 29017, 29021, 29023, 29027, 
29033, 29059, 29063, 29077, 29101, 29123, 29129, 29131, 29137, 29147, 29153, 
29167, 29173, 29179, 29191, 29201, 29207, 29209, 29221, 29231, 29243, 29251, 
29269, 29287, 29297, 29303, 29311, 29327, 29333, 29339, 29347, 29363, 29383, 
29387, 29389, 29399, 29401, 29411, 29423, 29429, 29437, 29443, 29453, 29473, 
29483, 29501, 29527, 29531, 29537, 29567, 29569, 29573, 29581, 29587, 29599, 
29611, 29629, 29633, 29641, 29663, 29669, 29671, 29683, 29717, 29723, 29741, 
29753, 29759, 29761, 29789, 29803, 29819, 29833, 29837, 29851, 29863, 29867, 
29873, 29879, 29881, 29917, 29921, 29927, 29947, 29959, 29983, 29989, 30011, 
30013, 30029, 30047, 30059, 30071, 30089, 30091, 30097, 30103, 30109, 30113, 
30119, 30133, 30137, 30139, 30161, 30169, 30181, 30187, 30197, 30203, 30211, 
30223, 30241, 30253, 30259, 30269, 30271, 30293, 30307, 30313, 30319, 30323, 
30341, 30347, 30367, 30389, 30391, 30403, 30427, 30431, 30449, 30467, 30469, 
30491, 30493, 30497, 30509, 30517, 30529, 30539, 30553, 30557, 30559, 30577, 
30593, 30631, 30637, 30643, 30649, 30661, 30671, 30677, 30689, 30697, 30703, 
30707, 30713, 30727, 30757, 30763, 30773, 30781, 30803, 30809, 30817, 30829, 
30839, 30841, 30851, 30853, 30859, 30869, 30871, 30881, 30893, 30911, 30931, 
30937, 30941, 30949, 30971, 30977, 30983, 31013, 31019, 31033, 31039, 31051, 
31063, 31069, 31079, 31081, 31091, 31121, 31123, 31139, 31147, 31151, 31153, 
31159, 31177, 31181, 31183, 31189, 31193, 31219, 31223, 31231, 31237, 31247, 
31249, 31253, 31259, 31267, 31271, 31277, 31307, 31319, 31321, 31327, 31333, 
31337, 31357, 31379, 31387, 31391, 31393, 31397, 31469, 31477, 31481, 31489, 
31511, 31513, 31517, 31531, 31541, 31543, 31547, 31567, 31573, 31583, 31601, 
31607, 31627, 31643, 31649, 31657, 31663, 31667, 31687, 31699, 31721, 31723, 
31727, 31729, 31741, 31751, 31769, 31771, 31793, 31799, 31817, 31847, 31849, 
31859, 31873, 31883, 31891, 31907, 31957, 31963, 31973, 31981, 31991, 32003, 
32009, 32027, 32029, 32051, 32057, 32059, 32063, 32069, 32077, 32083, 32089, 
32099, 32117, 32119, 32141, 32143, 32159, 32173, 32183, 32189, 32191, 32203, 
32213, 32233, 32237, 32251, 32257, 32261, 32297, 32299, 32303, 32309, 32321, 
32323, 32327, 32341, 32353, 32359, 32363, 32369, 32371, 32377, 32381, 32401, 
32411, 32413, 32423, 32429, 32441, 32443, 32467, 32479, 32491, 32497, 32503, 
32507, 32531, 32533, 32537, 32561, 32563, 32569, 32573, 32579, 32587, 32603, 
32609, 32611, 32621, 32633, 32647, 32653, 32687, 32693, 32707, 32713, 32717, 
32719, 32749, 32771, 32779, 32783, 32789, 32797, 32801, 32803, 32831, 32833, 
32839, 32843, 32869, 32887, 32909, 32911, 32917, 32933, 32939, 32941, 32957, 
32969, 32971, 32983, 32987, 32993, 32999, 33013, 33023, 33029, 33037, 33049, 
33053, 33071, 33073, 33083, 33091, 33107, 33113, 33119, 33149, 33151, 33161, 
33179, 33181, 33191, 33199, 33203, 33211, 33223, 33247, 33287, 33289, 33301, 
33311, 33317, 33329, 33331, 33343, 33347, 33349, 33353, 33359, 33377, 33391, 
33403, 33409, 33413, 33427, 33457, 33461, 33469, 33479, 33487, 33493, 33503, 
33521, 33529, 33533, 33547, 33563, 33569, 33577, 33581, 33587, 33589, 33599, 
33601, 33613, 33617, 33619, 33623, 33629, 33637, 33641, 33647, 33679, 33703, 
33713, 33721, 33739, 33749, 33751, 33757, 33767, 33769, 33773, 33791, 33797, 
33809, 33811, 33827, 33829, 33851, 33857, 33863, 33871, 33889, 33893, 33911, 
33923, 33931, 33937, 33941, 33961, 33967, 33997, 34019, 34031, 34033, 34039, 
34057, 34061, 34123, 34127, 34129, 34141, 34147, 34157, 34159, 34171, 34183, 
34211, 34213, 34217, 34231, 34253, 34259, 34261, 34267, 34273, 34283, 34297, 
34301, 34303, 34313, 34319, 34327, 34337, 34351, 34361, 34367, 34369, 34381, 
34403, 34421, 34429, 34439, 34457, 34469, 34471, 34483, 34487, 34499, 34501, 
34511, 34513, 34519, 34537, 34543, 34549, 34583, 34589, 34591, 34603, 34607, 
34613, 34631, 34649, 34651, 34667, 34673, 34679, 34687, 34693, 34703, 34721, 
34729, 34739, 34747, 34757, 34759, 34763, 34781, 34807, 34819, 34841, 34843, 
34847, 34849, 34871, 34877, 34883, 34897, 34913, 34919, 34939, 34949, 34961, 
34963, 34981, 35023, 35027, 35051, 35053, 35059, 35069, 35081, 35083, 35089, 
35099, 35107, 35111, 35117, 35129, 35141, 35149, 35153, 35159, 35171, 35201, 
35221, 35227, 35251, 35257, 35267, 35279, 35281, 35291, 35311, 35317, 35323, 
35327, 35339, 35353, 35363, 35381, 35393, 35401, 35407, 35419, 35423, 35437, 
35447, 35449, 35461, 35491, 35507, 35509, 35521, 35527, 35531, 35533, 35537, 
35543, 35569, 35573, 35591, 35593, 35597, 35603, 35617, 35671, 35677, 35729, 
35731, 35747, 35753, 35759, 35771, 35797, 35801, 35803, 35809, 35831, 35837, 
35839, 35851, 35863, 35869, 35879, 35897, 35899, 35911, 35923, 35933, 35951, 
35963, 35969, 35977, 35983, 35993, 35999, 36007, 36011, 36013, 36017, 36037, 
36061, 36067, 36073, 36083, 36097, 36107, 36109, 36131, 36137, 36151, 36161, 
36187, 36191, 36209, 36217, 36229, 36241, 36251, 36263, 36269, 36277, 36293, 
36299, 36307, 36313, 36319, 36341, 36343, 36353, 36373, 36383, 36389, 36433, 
36451, 36457, 36467, 36469, 36473, 36479, 36493, 36497, 36523, 36527, 36529, 
36541, 36551, 36559, 36563, 36571, 36583, 36587, 36599, 36607, 36629, 36637, 
36643, 36653, 36671, 36677, 36683, 36691, 36697, 36709, 36713, 36721, 36739, 
36749, 36761, 36767, 36779, 36781, 36787, 36791, 36793, 36809, 36821, 36833, 
36847, 36857, 36871, 36877, 36887, 36899, 36901, 36913, 36919, 36923, 36929, 
36931, 36943, 36947, 36973, 36979, 36997, 37003, 37013, 37019, 37021, 37039, 
37049, 37057, 37061, 37087, 37097, 37117, 37123, 37139, 37159, 37171, 37181, 
37189, 37199, 37201, 37217, 37223, 37243, 37253, 37273, 37277, 37307, 37309, 
37313, 37321, 37337, 37339, 37357, 37361, 37363, 37369, 37379, 37397, 37409, 
37423, 37441, 37447, 37463, 37483, 37489, 37493, 37501, 37507, 37511, 37517, 
37529, 37537, 37547, 37549, 37561, 37567, 37571, 37573, 37579, 37589, 37591, 
37607, 37619, 37633, 37643, 37649, 37657, 37663, 37691, 37693, 37699, 37717, 
37747, 37781, 37783, 37799, 37811, 37813, 37831, 37847, 37853, 37861, 37871, 
37879, 37889, 37897, 37907, 37951, 37957, 37963, 37967, 37987, 37991, 37993, 
37997, 38011, 38039, 38047, 38053, 38069, 38083, 38113, 38119, 38149, 38153, 
38167, 38177, 38183, 38189, 38197, 38201, 38219, 38231, 38237, 38239, 38261, 
38273, 38281, 38287, 38299, 38303, 38317, 38321, 38327, 38329, 38333, 38351, 
38371, 38377, 38393, 38431, 38447, 38449, 38453, 38459, 38461, 38501, 38543, 
38557, 38561, 38567, 38569, 38593, 38603, 38609, 38611, 38629, 38639, 38651, 
38653, 38669, 38671, 38677, 38693, 38699, 38707, 38711, 38713, 38723, 38729, 
38737, 38747, 38749, 38767, 38783, 38791, 38803, 38821, 38833, 38839, 38851, 
38861, 38867, 38873, 38891, 38903, 38917, 38921, 38923, 38933, 38953, 38959, 
38971, 38977, 38993, 39019, 39023, 39041, 39043, 39047, 39079, 39089, 39097, 
39103, 39107, 39113, 39119, 39133, 39139, 39157, 39161, 39163, 39181, 39191, 
39199, 39209, 39217, 39227, 39229, 39233, 39239, 39241, 39251, 39293, 39301, 
39313, 39317, 39323, 39341, 39343, 39359, 39367, 39371, 39373, 39383, 39397, 
39409, 39419, 39439, 39443, 39451, 39461, 39499, 39503, 39509, 39511, 39521, 
39541, 39551, 39563, 39569, 39581, 39607, 39619, 39623, 39631, 39659, 39667, 
39671, 39679, 39703, 39709, 39719, 39727, 39733, 39749, 39761, 39769, 39779, 
39791, 39799, 39821, 39827, 39829, 39839, 39841, 39847, 39857, 39863, 39869, 
39877, 39883, 39887, 39901, 39929, 39937, 39953, 39971, 39979, 39983, 39989, 
40009, 40013, 40031, 40037, 40039, 40063, 40087, 40093, 40099, 40111, 40123, 
40127, 40129, 40151, 40153, 40163, 40169, 40177, 40189, 40193, 40213, 40231, 
40237, 40241, 40253, 40277, 40283, 40289, 40343, 40351, 40357, 40361, 40387, 
40423, 40427, 40429, 40433, 40459, 40471, 40483, 40487, 40493, 40499, 40507, 
40519, 40529, 40531, 40543, 40559, 40577, 40583, 40591, 40597, 40609, 40627, 
40637, 40639, 40693, 40697, 40699, 40709, 40739, 40751, 40759, 40763, 40771, 
40787, 40801, 40813, 40819, 40823, 40829, 40841, 40847, 40849, 40853, 40867, 
40879, 40883, 40897, 40903, 40927, 40933, 40939, 40949, 40961, 40973, 40993, 
41011, 41017, 41023, 41039, 41047, 41051, 41057, 41077, 41081, 41113, 41117, 
41131, 41141, 41143, 41149, 41161, 41177, 41179, 41183, 41189, 41201, 41203, 
41213, 41221, 41227, 41231, 41233, 41243, 41257, 41263, 41269, 41281, 41299, 
41333, 41341, 41351, 41357, 41381, 41387, 41389, 41399, 41411, 41413, 41443, 
41453, 41467, 41479, 41491, 41507, 41513, 41519, 41521, 41539, 41543, 41549, 
41579, 41593, 41597, 41603, 41609, 41611, 41617, 41621, 41627, 41641, 41647, 
41651, 41659, 41669, 41681, 41687, 41719, 41729, 41737, 41759, 41761, 41771, 
41777, 41801, 41809, 41813, 41843, 41849, 41851, 41863, 41879, 41887, 41893, 
41897, 41903, 41911, 41927, 41941, 41947, 41953, 41957, 41959, 41969, 41981, 
41983, 41999, 42013, 42017, 42019, 42023, 42043, 42061, 42071, 42073, 42083, 
42089, 42101, 42131, 42139, 42157, 42169, 42179, 42181, 42187, 42193, 42197, 
42209, 42221, 42223, 42227, 42239, 42257, 42281, 42283, 42293, 42299, 42307, 
42323, 42331, 42337, 42349, 42359, 42373, 42379, 42391, 42397, 42403, 42407, 
42409, 42433, 42437, 42443, 42451, 42457, 42461, 42463, 42467, 42473, 42487, 
42491, 42499, 42509, 42533, 42557, 42569, 42571, 42577, 42589, 42611, 42641, 
42643, 42649, 42667, 42677, 42683, 42689, 42697, 42701, 42703, 42709, 42719, 
42727, 42737, 42743, 42751, 42767, 42773, 42787, 42793, 42797, 42821, 42829, 
42839, 42841, 42853, 42859, 42863, 42899, 42901, 42923, 42929, 42937, 42943, 
42953, 42961, 42967, 42979, 42989, 43003, 43013, 43019, 43037, 43049, 43051, 
43063, 43067, 43093, 43103, 43117, 43133, 43151, 43159, 43177, 43189, 43201, 
43207, 43223, 43237, 43261, 43271, 43283, 43291, 43313, 43319, 43321, 43331, 
43391, 43397, 43399, 43403, 43411, 43427, 43441, 43451, 43457, 43481, 43487, 
43499, 43517, 43541, 43543, 43573, 43577, 43579, 43591, 43597, 43607, 43609, 
43613, 43627, 43633, 43649, 43651, 43661, 43669, 43691, 43711, 43717, 43721, 
43753, 43759, 43777, 43781, 43783, 43787, 43789, 43793, 43801, 43853, 43867, 
43889, 43891, 43913, 43933, 43943, 43951, 43961, 43963, 43969, 43973, 43987, 
43991, 43997, 44017, 44021, 44027, 44029, 44041, 44053, 44059, 44071, 44087, 
44089, 44101, 44111, 44119, 44123, 44129, 44131, 44159, 44171, 44179, 44189, 
44201, 44203, 44207, 44221, 44249, 44257, 44263, 44267, 44269, 44273, 44279, 
44281, 44293, 44351, 44357, 44371, 44381, 44383, 44389, 44417, 44449, 44453, 
44483, 44491, 44497, 44501, 44507, 44519, 44531, 44533, 44537, 44543, 44549, 
44563, 44579, 44587, 44617, 44621, 44623, 44633, 44641, 44647, 44651, 44657, 
44683, 44687, 44699, 44701, 44711, 44729, 44741, 44753, 44771, 44773, 44777, 
44789, 44797, 44809, 44819, 44839, 44843, 44851, 44867, 44879, 44887, 44893, 
44909, 44917, 44927, 44939, 44953, 44959, 44963, 44971, 44983, 44987, 45007, 
45013, 45053, 45061, 45077, 45083, 45119, 45121, 45127, 45131, 45137, 45139, 
45161, 45179, 45181, 45191, 45197, 45233, 45247, 45259, 45263, 45281, 45289, 
45293, 45307, 45317, 45319, 45329, 45337, 45341, 45343, 45361, 45377, 45389, 
45403, 45413, 45427, 45433, 45439, 45481, 45491, 45497, 45503, 45523, 45533, 
45541, 45553, 45557, 45569, 45587, 45589, 45599, 45613, 45631, 45641, 45659, 
45667, 45673, 45677, 45691, 45697, 45707, 45737, 45751, 45757, 45763, 45767, 
45779, 45817, 45821, 45823, 45827, 45833, 45841, 45853, 45863, 45869, 45887, 
45893, 45943, 45949, 45953, 45959, 45971, 45979, 45989, 46021, 46027, 46049, 
46051, 46061, 46073, 46091, 46093, 46099, 46103, 46133, 46141, 46147, 46153, 
46171, 46181, 46183, 46187, 46199, 46219, 46229, 46237, 46261, 46271, 46273, 
46279, 46301, 46307, 46309, 46327, 46337, 46349, 46351, 46381, 46399, 46411, 
46439, 46441, 46447, 46451, 46457, 46471, 46477, 46489, 46499, 46507, 46511, 
46523, 46549, 46559, 46567, 46573, 46589, 46591, 46601, 46619, 46633, 46639, 
46643, 46649, 46663, 46679, 46681, 46687, 46691, 46703, 46723, 46727, 46747, 
46751, 46757, 46769, 46771, 46807, 46811, 46817, 46819, 46829, 46831, 46853, 
46861, 46867, 46877, 46889, 46901, 46919, 46933, 46957, 46993, 46997, 47017, 
47041, 47051, 47057, 47059, 47087, 47093, 47111, 47119, 47123, 47129, 47137, 
47143, 47147, 47149, 47161, 47189, 47207, 47221, 47237, 47251, 47269, 47279, 
47287, 47293, 47297, 47303, 47309, 47317, 47339, 47351, 47353, 47363, 47381, 
47387, 47389, 47407, 47417, 47419, 47431, 47441, 47459, 47491, 47497, 47501, 
47507, 47513, 47521, 47527, 47533, 47543, 47563, 47569, 47581, 47591, 47599, 
47609, 47623, 47629, 47639, 47653, 47657, 47659, 47681, 47699, 47701, 47711, 
47713, 47717, 47737, 47741, 47743, 47777, 47779, 47791, 47797, 47807, 47809, 
47819, 47837, 47843, 47857, 47869, 47881, 47903, 47911, 47917, 47933, 47939, 
47947, 47951, 47963, 47969, 47977, 47981, 48017, 48023, 48029, 48049, 48073, 
48079, 48091, 48109, 48119, 48121, 48131, 48157, 48163, 48179, 48187, 48193, 
48197, 48221, 48239, 48247, 48259, 48271, 48281, 48299, 48311, 48313, 48337, 
48341, 48353, 48371, 48383, 48397, 48407, 48409, 48413, 48437, 48449, 48463, 
48473, 48479, 48481, 48487, 48491, 48497, 48523, 48527, 48533, 48539, 48541, 
48563, 48571, 48589, 48593, 48611, 48619, 48623, 48647, 48649, 48661, 48673, 
48677, 48679, 48731, 48733, 48751, 48757, 48761, 48767, 48779, 48781, 48787, 
48799, 48809, 48817, 48821, 48823, 48847, 48857, 48859, 48869, 48871, 48883, 
48889, 48907, 48947, 48953, 48973, 48989, 48991, 49003, 49009, 49019, 49031, 
49033, 49037, 49043, 49057, 49069, 49081, 49103, 49109, 49117, 49121, 49123, 
49139, 49157, 49169, 49171, 49177, 49193, 49199, 49201, 49207, 49211, 49223, 
49253, 49261, 49277, 49279, 49297, 49307, 49331, 49333, 49339, 49363, 49367, 
49369, 49391, 49393, 49409, 49411, 49417, 49429, 49433, 49451, 49459, 49463, 
49477, 49481, 49499, 49523, 49529, 49531, 49537, 49547, 49549, 49559, 49597, 
49603, 49613, 49627, 49633, 49639, 49663, 49667, 49669, 49681, 49697, 49711, 
49727, 49739, 49741, 49747, 49757, 49783, 49787, 49789, 49801, 49807, 49811, 
49823, 49831, 49843, 49853, 49871, 49877, 49891, 49919, 49921, 49927, 49937, 
49939, 49943, 49957, 49991, 49993, 49999, 50021, 50023, 50033, 50047, 50051, 
50053, 50069, 50077, 50087, 50093, 50101, 50111, 50119, 50123, 50129, 50131, 
50147, 50153, 50159, 50177, 50207, 50221, 50227, 50231, 50261, 50263, 50273, 
50287, 50291, 50311, 50321, 50329, 50333, 50341, 50359, 50363, 50377, 50383, 
50387, 50411, 50417, 50423, 50441, 50459, 50461, 50497, 50503, 50513, 50527, 
50539, 50543, 50549, 50551, 50581, 50587, 50591, 50593, 50599, 50627, 50647, 
50651, 50671, 50683, 50707, 50723, 50741, 50753, 50767, 50773, 50777, 50789, 
50821, 50833, 50839, 50849, 50857, 50867, 50873, 50891, 50893, 50909, 50923, 
50929, 50951, 50957, 50969, 50971, 50989, 50993, 51001, 51031, 51043, 51047, 
51059, 51061, 51071, 51109, 51131, 51133, 51137, 51151, 51157, 51169, 51193, 
51197, 51199, 51203, 51217, 51229, 51239, 51241, 51257, 51263, 51283, 51287, 
51307, 51329, 51341, 51343, 51347, 51349, 51361, 51383, 51407, 51413, 51419, 
51421, 51427, 51431, 51437, 51439, 51449, 51461, 51473, 51479, 51481, 51487, 
51503, 51511, 51517, 51521, 51539, 51551, 51563, 51577, 51581, 51593, 51599, 
51607, 51613, 51631, 51637, 51647, 51659, 51673, 51679, 51683, 51691, 51713, 
51719, 51721, 51749, 51767, 51769, 51787, 51797, 51803, 51817, 51827, 51829, 
51839, 51853, 51859, 51869, 51871, 51893, 51899, 51907, 51913, 51929, 51941, 
51949, 51971, 51973, 51977, 51991, 52009, 52021, 52027, 52051, 52057, 52067, 
52069, 52081, 52103, 52121, 52127, 52147, 52153, 52163, 52177, 52181, 52183, 
52189, 52201, 52223, 52237, 52249, 52253, 52259, 52267, 52289, 52291, 52301, 
52313, 52321, 52361, 52363, 52369, 52379, 52387, 52391, 52433, 52453, 52457, 
52489, 52501, 52511, 52517, 52529, 52541, 52543, 52553, 52561, 52567, 52571, 
52579, 52583, 52609, 52627, 52631, 52639, 52667, 52673, 52691, 52697, 52709, 
52711, 52721, 52727, 52733, 52747, 52757, 52769, 52783, 52807, 52813, 52817, 
52837, 52859, 52861, 52879, 52883, 52889, 52901, 52903, 52919, 52937, 52951, 
52957, 52963, 52967, 52973, 52981, 52999, 53003, 53017, 53047, 53051, 53069, 
53077, 53087, 53089, 53093, 53101, 53113, 53117, 53129, 53147, 53149, 53161, 
53171, 53173, 53189, 53197, 53201, 53231, 53233, 53239, 53267, 53269, 53279, 
53281, 53299, 53309, 53323, 53327, 53353, 53359, 53377, 53381, 53401, 53407, 
53411, 53419, 53437, 53441, 53453, 53479, 53503, 53507, 53527, 53549, 53551, 
53569, 53591, 53593, 53597, 53609, 53611, 53617, 53623, 53629, 53633, 53639, 
53653, 53657, 53681, 53693, 53699, 53717, 53719, 53731, 53759, 53773, 53777, 
53783, 53791, 53813, 53819, 53831, 53849, 53857, 53861, 53881, 53887, 53891, 
53897, 53899, 53917, 53923, 53927, 53939, 53951, 53959, 53987, 53993, 54001, 
54011, 54013, 54037, 54049, 54059, 54083, 54091, 54101, 54121, 54133, 54139, 
54151, 54163, 54167, 54181, 54193, 54217, 54251, 54269, 54277, 54287, 54293, 
54311, 54319, 54323, 54331, 54347, 54361, 54367, 54371, 54377, 54401, 54403, 
54409, 54413, 54419, 54421, 54437, 54443, 54449, 54469, 54493, 54497, 54499, 
54503, 54517, 54521, 54539, 54541, 54547, 54559, 54563, 54577, 54581, 54583, 
54601, 54617, 54623, 54629, 54631, 54647, 54667, 54673, 54679, 54709, 54713, 
54721, 54727, 54751, 54767, 54773, 54779, 54787, 54799, 54829, 54833, 54851, 
54869, 54877, 54881, 54907, 54917, 54919, 54941, 54949, 54959, 54973, 54979, 
54983, 55001, 55009, 55021, 55049, 55051, 55057, 55061, 55073, 55079, 55103, 
55109, 55117, 55127, 55147, 55163, 55171, 55201, 55207, 55213, 55217, 55219, 
55229, 55243, 55249, 55259, 55291, 55313, 55331, 55333, 55337, 55339, 55343, 
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80713, 80737, 80747, 80749, 80761, 80777, 80779, 80783, 80789, 80803, 80809, 
80819, 80831, 80833, 80849, 80863, 80897, 80909, 80911, 80917, 80923, 80929, 
80933, 80953, 80963, 80989, 81001, 81013, 81017, 81019, 81023, 81031, 81041, 
81043, 81047, 81049, 81071, 81077, 81083, 81097, 81101, 81119, 81131, 81157, 
81163, 81173, 81181, 81197, 81199, 81203, 81223, 81233, 81239, 81281, 81283, 
81293, 81299, 81307, 81331, 81343, 81349, 81353, 81359, 81371, 81373, 81401, 
81409, 81421, 81439, 81457, 81463, 81509, 81517, 81527, 81533, 81547, 81551, 
81553, 81559, 81563, 81569, 81611, 81619, 81629, 81637, 81647, 81649, 81667, 
81671, 81677, 81689, 81701, 81703, 81707, 81727, 81737, 81749, 81761, 81769, 
81773, 81799, 81817, 81839, 81847, 81853, 81869, 81883, 81899, 81901, 81919, 
81929, 81931, 81937, 81943, 81953, 81967, 81971, 81973, 82003, 82007, 82009, 
82013, 82021, 82031, 82037, 82039, 82051, 82067, 82073, 82129, 82139, 82141, 
82153, 82163, 82171, 82183, 82189, 82193, 82207, 82217, 82219, 82223, 82231, 
82237, 82241, 82261, 82267, 82279, 82301, 82307, 82339, 82349, 82351, 82361, 
82373, 82387, 82393, 82421, 82457, 82463, 82469, 82471, 82483, 82487, 82493, 
82499, 82507, 82529, 82531, 82549, 82559, 82561, 82567, 82571, 82591, 82601, 
82609, 82613, 82619, 82633, 82651, 82657, 82699, 82721, 82723, 82727, 82729, 
82757, 82759, 82763, 82781, 82787, 82793, 82799, 82811, 82813, 82837, 82847, 
82883, 82889, 82891, 82903, 82913, 82939, 82963, 82981, 82997, 83003, 83009, 
83023, 83047, 83059, 83063, 83071, 83077, 83089, 83093, 83101, 83117, 83137, 
83177, 83203, 83207, 83219, 83221, 83227, 83231, 83233, 83243, 83257, 83267, 
83269, 83273, 83299, 83311, 83339, 83341, 83357, 83383, 83389, 83399, 83401, 
83407, 83417, 83423, 83431, 83437, 83443, 83449, 83459, 83471, 83477, 83497, 
83537, 83557, 83561, 83563, 83579, 83591, 83597, 83609, 83617, 83621, 83639, 
83641, 83653, 83663, 83689, 83701, 83717, 83719, 83737, 83761, 83773, 83777, 
83791, 83813, 83833, 83843, 83857, 83869, 83873, 83891, 83903, 83911, 83921, 
83933, 83939, 83969, 83983, 83987, 84011, 84017, 84047, 84053, 84059, 84061, 
84067, 84089, 84121, 84127, 84131, 84137, 84143, 84163, 84179, 84181, 84191, 
84199, 84211, 84221, 84223, 84229, 84239, 84247, 84263, 84299, 84307, 84313, 
84317, 84319, 84347, 84349, 84377, 84389, 84391, 84401, 84407, 84421, 84431, 
84437, 84443, 84449, 84457, 84463, 84467, 84481, 84499, 84503, 84509, 84521, 
84523, 84533, 84551, 84559, 84589, 84629, 84631, 84649, 84653, 84659, 84673, 
84691, 84697, 84701, 84713, 84719, 84731, 84737, 84751, 84761, 84787, 84793, 
84809, 84811, 84827, 84857, 84859, 84869, 84871, 84913, 84919, 84947, 84961, 
84967, 84977, 84979, 84991, 85009, 85021, 85027, 85037, 85049, 85061, 85081, 
85087, 85091, 85093, 85103, 85109, 85121, 85133, 85147, 85159, 85193, 85199, 
85201, 85213, 85223, 85229, 85237, 85243, 85247, 85259, 85297, 85303, 85313, 
85331, 85333, 85361, 85363, 85369, 85381, 85411, 85427, 85429, 85439, 85447, 
85451, 85453, 85469, 85487, 85513, 85517, 85523, 85531, 85549, 85571, 85577, 
85597, 85601, 85607, 85619, 85621, 85627, 85639, 85643, 85661, 85667, 85669, 
85691, 85703, 85711, 85717, 85733, 85751, 85781, 85793, 85817, 85819, 85829, 
85831, 85837, 85843, 85847, 85853, 85889, 85903, 85909, 85931, 85933, 85991, 
85999, 86011, 86017, 86027, 86029, 86069, 86077, 86083, 86111, 86113, 86117, 
86131, 86137, 86143, 86161, 86171, 86179, 86183, 86197, 86201, 86209, 86239, 
86243, 86249, 86257, 86263, 86269, 86287, 86291, 86293, 86297, 86311, 86323, 
86341, 86351, 86353, 86357, 86369, 86371, 86381, 86389, 86399, 86413, 86423, 
86441, 86453, 86461, 86467, 86477, 86491, 86501, 86509, 86531, 86533, 86539, 
86561, 86573, 86579, 86587, 86599, 86627, 86629, 86677, 86689, 86693, 86711, 
86719, 86729, 86743, 86753, 86767, 86771, 86783, 86813, 86837, 86843, 86851, 
86857, 86861, 86869, 86923, 86927, 86929, 86939, 86951, 86959, 86969, 86981, 
86993, 87011, 87013, 87037, 87041, 87049, 87071, 87083, 87103, 87107, 87119, 
87121, 87133, 87149, 87151, 87179, 87181, 87187, 87211, 87221, 87223, 87251, 
87253, 87257, 87277, 87281, 87293, 87299, 87313, 87317, 87323, 87337, 87359, 
87383, 87403, 87407, 87421, 87427, 87433, 87443, 87473, 87481, 87491, 87509, 
87511, 87517, 87523, 87539, 87541, 87547, 87553, 87557, 87559, 87583, 87587, 
87589, 87613, 87623, 87629, 87631, 87641, 87643, 87649, 87671, 87679, 87683, 
87691, 87697, 87701, 87719, 87721, 87739, 87743, 87751, 87767, 87793, 87797, 
87803, 87811, 87833, 87853, 87869, 87877, 87881, 87887, 87911, 87917, 87931, 
87943, 87959, 87961, 87973, 87977, 87991, 88001, 88003, 88007, 88019, 88037, 
88069, 88079, 88093, 88117, 88129, 88169, 88177, 88211, 88223, 88237, 88241, 
88259, 88261, 88289, 88301, 88321, 88327, 88337, 88339, 88379, 88397, 88411, 
88423, 88427, 88463, 88469, 88471, 88493, 88499, 88513, 88523, 88547, 88589, 
88591, 88607, 88609, 88643, 88651, 88657, 88661, 88663, 88667, 88681, 88721, 
88729, 88741, 88747, 88771, 88789, 88793, 88799, 88801, 88807, 88811, 88813, 
88817, 88819, 88843, 88853, 88861, 88867, 88873, 88883, 88897, 88903, 88919, 
88937, 88951, 88969, 88993, 88997, 89003, 89009, 89017, 89021, 89041, 89051, 
89057, 89069, 89071, 89083, 89087, 89101, 89107, 89113, 89119, 89123, 89137, 
89153, 89189, 89203, 89209, 89213, 89227, 89231, 89237, 89261, 89269, 89273, 
89293, 89303, 89317, 89329, 89363, 89371, 89381, 89387, 89393, 89399, 89413, 
89417, 89431, 89443, 89449, 89459, 89477, 89491, 89501, 89513, 89519, 89521, 
89527, 89533, 89561, 89563, 89567, 89591, 89597, 89599, 89603, 89611, 89627, 
89633, 89653, 89657, 89659, 89669, 89671, 89681, 89689, 89753, 89759, 89767, 
89779, 89783, 89797, 89809, 89819, 89821, 89833, 89839, 89849, 89867, 89891, 
89897, 89899, 89909, 89917, 89923, 89939, 89959, 89963, 89977, 89983, 89989, 
90001, 90007, 90011, 90017, 90019, 90023, 90031, 90053, 90059, 90067, 90071, 
90073, 90089, 90107, 90121, 90127, 90149, 90163, 90173, 90187, 90191, 90197, 
90199, 90203, 90217, 90227, 90239, 90247, 90263, 90271, 90281, 90289, 90313, 
90353, 90359, 90371, 90373, 90379, 90397, 90401, 90403, 90407, 90437, 90439, 
90469, 90473, 90481, 90499, 90511, 90523, 90527, 90529, 90533, 90547, 90583, 
90599, 90617, 90619, 90631, 90641, 90647, 90659, 90677, 90679, 90697, 90703, 
90709, 90731, 90749, 90787, 90793, 90803, 90821, 90823, 90833, 90841, 90847, 
90863, 90887, 90901, 90907, 90911, 90917, 90931, 90947, 90971, 90977, 90989, 
90997, 91009, 91019, 91033, 91079, 91081, 91097, 91099, 91121, 91127, 91129, 
91139, 91141, 91151, 91153, 91159, 91163, 91183, 91193, 91199, 91229, 91237, 
91243, 91249, 91253, 91283, 91291, 91297, 91303, 91309, 91331, 91367, 91369, 
91373, 91381, 91387, 91393, 91397, 91411, 91423, 91433, 91453, 91457, 91459, 
91463, 91493, 91499, 91513, 91529, 91541, 91571, 91573, 91577, 91583, 91591, 
91621, 91631, 91639, 91673, 91691, 91703, 91711, 91733, 91753, 91757, 91771, 
91781, 91801, 91807, 91811, 91813, 91823, 91837, 91841, 91867, 91873, 91909, 
91921, 91939, 91943, 91951, 91957, 91961, 91967, 91969, 91997, 92003, 92009, 
92033, 92041, 92051, 92077, 92083, 92107, 92111, 92119, 92143, 92153, 92173, 
92177, 92179, 92189, 92203, 92219, 92221, 92227, 92233, 92237, 92243, 92251, 
92269, 92297, 92311, 92317, 92333, 92347, 92353, 92357, 92363, 92369, 92377, 
92381, 92383, 92387, 92399, 92401, 92413, 92419, 92431, 92459, 92461, 92467, 
92479, 92489, 92503, 92507, 92551, 92557, 92567, 92569, 92581, 92593, 92623, 
92627, 92639, 92641, 92647, 92657, 92669, 92671, 92681, 92683, 92693, 92699, 
92707, 92717, 92723, 92737, 92753, 92761, 92767, 92779, 92789, 92791, 92801, 
92809, 92821, 92831, 92849, 92857, 92861, 92863, 92867, 92893, 92899, 92921, 
92927, 92941, 92951, 92957, 92959, 92987, 92993, 93001, 93047, 93053, 93059, 
93077, 93083, 93089, 93097, 93103, 93113, 93131, 93133, 93139, 93151, 93169, 
93179, 93187, 93199, 93229, 93239, 93241, 93251, 93253, 93257, 93263, 93281, 
93283, 93287, 93307, 93319, 93323, 93329, 93337, 93371, 93377, 93383, 93407, 
93419, 93427, 93463, 93479, 93481, 93487, 93491, 93493, 93497, 93503, 93523, 
93529, 93553, 93557, 93559, 93563, 93581, 93601, 93607, 93629, 93637, 93683, 
93701, 93703, 93719, 93739, 93761, 93763, 93787, 93809, 93811, 93827, 93851, 
93871, 93887, 93889, 93893, 93901, 93911, 93913, 93923, 93937, 93941, 93949, 
93967, 93971, 93979, 93983, 93997, 94007, 94009, 94033, 94049, 94057, 94063, 
94079, 94099, 94109, 94111, 94117, 94121, 94151, 94153, 94169, 94201, 94207, 
94219, 94229, 94253, 94261, 94273, 94291, 94307, 94309, 94321, 94327, 94331, 
94343, 94349, 94351, 94379, 94397, 94399, 94421, 94427, 94433, 94439, 94441, 
94447, 94463, 94477, 94483, 94513, 94529, 94531, 94541, 94543, 94547, 94559, 
94561, 94573, 94583, 94597, 94603, 94613, 94621, 94649, 94651, 94687, 94693, 
94709, 94723, 94727, 94747, 94771, 94777, 94781, 94789, 94793, 94811, 94819, 
94823, 94837, 94841, 94847, 94849, 94873, 94889, 94903, 94907, 94933, 94949, 
94951, 94961, 94993, 94999, 95003, 95009, 95021, 95027, 95063, 95071, 95083, 
95087, 95089, 95093, 95101, 95107, 95111, 95131, 95143, 95153, 95177, 95189, 
95191, 95203, 95213, 95219, 95231, 95233, 95239, 95257, 95261, 95267, 95273, 
95279, 95287, 95311, 95317, 95327, 95339, 95369, 95383, 95393, 95401, 95413, 
95419, 95429, 95441, 95443, 95461, 95467, 95471, 95479, 95483, 95507, 95527, 
95531, 95539, 95549, 95561, 95569, 95581, 95597, 95603, 95617, 95621, 95629, 
95633, 95651, 95701, 95707, 95713, 95717, 95723, 95731, 95737, 95747, 95773, 
95783, 95789, 95791, 95801, 95803, 95813, 95819, 95857, 95869, 95873, 95881, 
95891, 95911, 95917, 95923, 95929, 95947, 95957, 95959, 95971, 95987, 95989, 
96001, 96013, 96017, 96043, 96053, 96059, 96079, 96097, 96137, 96149, 96157, 
96167, 96179, 96181, 96199, 96211, 96221, 96223, 96233, 96259, 96263, 96269, 
96281, 96289, 96293, 96323, 96329, 96331, 96337, 96353, 96377, 96401, 96419, 
96431, 96443, 96451, 96457, 96461, 96469, 96479, 96487, 96493, 96497, 96517, 
96527, 96553, 96557, 96581, 96587, 96589, 96601, 96643, 96661, 96667, 96671, 
96697, 96703, 96731, 96737, 96739, 96749, 96757, 96763, 96769, 96779, 96787, 
96797, 96799, 96821, 96823, 96827, 96847, 96851, 96857, 96893, 96907, 96911, 
96931, 96953, 96959, 96973, 96979, 96989, 96997, 97001, 97003, 97007, 97021, 
97039, 97073, 97081, 97103, 97117, 97127, 97151, 97157, 97159, 97169, 97171, 
97177, 97187, 97213, 97231, 97241, 97259, 97283, 97301, 97303, 97327, 97367, 
97369, 97373, 97379, 97381, 97387, 97397, 97423, 97429, 97441, 97453, 97459, 
97463, 97499, 97501, 97511, 97523, 97547, 97549, 97553, 97561, 97571, 97577, 
97579, 97583, 97607, 97609, 97613, 97649, 97651, 97673, 97687, 97711, 97729, 
97771, 97777, 97787, 97789, 97813, 97829, 97841, 97843, 97847, 97849, 97859, 
97861, 97871, 97879, 97883, 97919, 97927, 97931, 97943, 97961, 97967, 97973, 
97987, 98009, 98011, 98017, 98041, 98047, 98057, 98081, 98101, 98123, 98129, 
98143, 98179, 98207, 98213, 98221, 98227, 98251, 98257, 98269, 98297, 98299, 
98317, 98321, 98323, 98327, 98347, 98369, 98377, 98387, 98389, 98407, 98411, 
98419, 98429, 98443, 98453, 98459, 98467, 98473, 98479, 98491, 98507, 98519, 
98533, 98543, 98561, 98563, 98573, 98597, 98621, 98627, 98639, 98641, 98663, 
98669, 98689, 98711, 98713, 98717, 98729, 98731, 98737, 98773, 98779, 98801, 
98807, 98809, 98837, 98849, 98867, 98869, 98873, 98887, 98893, 98897, 98899, 
98909, 98911, 98927, 98929, 98939, 98947, 98953, 98963, 98981, 98993, 98999, 
99013, 99017, 99023, 99041, 99053, 99079, 99083, 99089, 99103, 99109, 99119, 
99131, 99133, 99137, 99139, 99149, 99173, 99181, 99191, 99223, 99233, 99241, 
99251, 99257, 99259, 99277, 99289, 99317, 99347, 99349, 99367, 99371, 99377, 
99391, 99397, 99401, 99409, 99431, 99439, 99469, 99487, 99497, 99523, 99527, 
99529, 99551, 99559, 99563, 99571, 99577, 99581, 99607, 99611, 99623, 99643, 
99661, 99667, 99679, 99689, 99707, 99709, 99713, 99719, 99721, 99733, 99761, 
99767, 99787, 99793, 99809, 99817, 99823, 99829, 99833, 99839, 99859, 99871, 
99877, 99881, 99901, 99907, 99923, 99929, 99961, 99971, 99989, 99991, 100003, 
100019, 100043, 100049, 100057, 100069, 100103, 100109, 100129, 100151, 100153, 100169, 
100183, 100189, 100193, 100207, 100213, 100237, 100267, 100271, 100279, 100291, 100297, 
100313, 100333, 100343, 100357, 100361, 100363, 100379, 100391, 100393, 100403, 100411, 
100417, 100447, 100459, 100469, 100483, 100493, 100501, 100511, 100517, 100519, 100523, 
100537, 100547, 100549, 100559, 100591, 100609, 100613, 100621, 100649, 100669, 100673, 
100693, 100699, 100703, 100733, 100741, 100747, 100769, 100787, 100799, 100801, 100811, 
100823, 100829, 100847, 100853, 100907, 100913, 100927, 100931, 100937, 100943, 100957, 
100981, 100987, 100999, 101009, 101021, 101027, 101051, 101063, 101081, 101089, 101107, 
101111, 101113, 101117, 101119, 101141, 101149, 101159, 101161, 101173, 101183, 101197, 
101203, 101207, 101209, 101221, 101267, 101273, 101279, 101281, 101287, 101293, 101323, 
101333, 101341, 101347, 101359, 101363, 101377, 101383, 101399, 101411, 101419, 101429, 
101449, 101467, 101477, 101483, 101489, 101501, 101503, 101513, 101527, 101531, 101533, 
101537, 101561, 101573, 101581, 101599, 101603, 101611, 101627, 101641, 101653, 101663, 
101681, 101693, 101701, 101719, 101723, 101737, 101741, 101747, 101749, 101771, 101789, 
101797, 101807, 101833, 101837, 101839, 101863, 101869, 101873, 101879, 101891, 101917, 
101921, 101929, 101939, 101957, 101963, 101977, 101987, 101999, 102001, 102013, 102019, 
102023, 102031, 102043, 102059, 102061, 102071, 102077, 102079, 102101, 102103, 102107, 
102121, 102139, 102149, 102161, 102181, 102191, 102197, 102199, 102203, 102217, 102229, 
102233, 102241, 102251, 102253, 102259, 102293, 102299, 102301, 102317, 102329, 102337, 
102359, 102367, 102397, 102407, 102409, 102433, 102437, 102451, 102461, 102481, 102497, 
102499, 102503, 102523, 102533, 102539, 102547, 102551, 102559, 102563, 102587, 102593, 
102607, 102611, 102643, 102647, 102653, 102667, 102673, 102677, 102679, 102701, 102761, 
102763, 102769, 102793, 102797, 102811, 102829, 102841, 102859, 102871, 102877, 102881, 
102911, 102913, 102929, 102931, 102953, 102967, 102983, 103001, 103007, 103043, 103049, 
103067, 103069, 103079, 103087, 103091, 103093, 103099, 103123, 103141, 103171, 103177, 
103183, 103217, 103231, 103237, 103289, 103291, 103307, 103319, 103333, 103349, 103357, 
103387, 103391, 103393, 103399, 103409, 103421, 103423, 103451, 103457, 103471, 103483, 
103511, 103529, 103549, 103553, 103561, 103567, 103573, 103577, 103583, 103591, 103613, 
103619, 103643, 103651, 103657, 103669, 103681, 103687, 103699, 103703, 103723, 103769, 
103787, 103801, 103811, 103813, 103837, 103841, 103843, 103867, 103889, 103903, 103913, 
103919, 103951, 103963, 103967, 103969, 103979, 103981, 103991, 103993, 103997, 104003, 
104009, 104021, 104033, 104047, 104053, 104059, 104087, 104089, 104107, 104113, 104119, 
104123, 104147, 104149, 104161, 104173, 104179, 104183, 104207, 104231, 104233, 104239, 
104243, 104281, 104287, 104297, 104309, 104311, 104323, 104327, 104347, 104369, 104381, 
104383, 104393, 104399, 104417, 104459, 104471, 104473, 104479, 104491, 104513, 104527, 
104537, 104543, 104549, 104551, 104561, 104579, 104593, 104597, 104623, 104639, 104651, 
104659, 104677, 104681, 104683, 104693, 104701, 104707, 104711, 104717, 104723, 104729, 

PASS
(test prime_generator :time 0.33 :before-memory 1465.83 :after-memory 1465.83)
2, 
3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 
41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 
89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 
149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 
199, 211, 223, 227, 229, 233, 239, 241, 251, 257, 263, 
269, 271, 277, 281, 283, 293, 307, 311, 313, 317, 331, 
337, 347, 349, 353, 359, 367, 373, 379, 383, 389, 397, 
401, 409, 419, 421, 431, 433, 439, 443, 449, 457, 461, 
463, 467, 479, 487, 491, 499, 503, 509, 521, 523, 541, 
547, 557, 563, 569, 571, 577, 587, 593, 599, 601, 607, 
613, 617, 619, 631, 641, 643, 647, 653, 659, 661, 673, 
677, 683, 691, 701, 709, 719, 727, 733, 739, 743, 751, 
757, 761, 769, 773, 787, 797, 809, 811, 821, 823, 827, 
829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 907, 
911, 919, 929, 937, 941, 947, 953, 967, 971, 977, 983, 
991, 997, 1009, 1013, 1019, 1021, 1031, 1033, 1039, 1049, 1051, 
1061, 1063, 1069, 1087, 1091, 1093, 1097, 1103, 1109, 1117, 1123, 
1129, 1151, 1153, 1163, 1171, 1181, 1187, 1193, 1201, 1213, 1217, 
1223, 1229, 1231, 1237, 1249, 1259, 1277, 1279, 1283, 1289, 1291, 
1297, 1301, 1303, 1307, 1319, 1321, 1327, 1361, 1367, 1373, 1381, 
1399, 1409, 1423, 1427, 1429, 1433, 1439, 1447, 1451, 1453, 1459, 
1471, 1481, 1483, 1487, 1489, 1493, 1499, 1511, 1523, 1531, 1543, 
1549, 1553, 1559, 1567, 1571, 1579, 1583, 1597, 1601, 1607, 1609, 
1613, 1619, 1621, 1627, 1637, 1657, 1663, 1667, 1669, 1693, 1697, 
1699, 1709, 1721, 1723, 1733, 1741, 1747, 1753, 1759, 1777, 1783, 
1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861, 1867, 1871, 1873, 
1877, 1879, 1889, 1901, 1907, 1913, 1931, 1933, 1949, 1951, 1973, 
1979, 1987, 1993, 1997, 1999, 2003, 2011, 2017, 2027, 2029, 2039, 
2053, 2063, 2069, 2081, 2083, 2087, 2089, 2099, 2111, 2113, 2129, 
2131, 2137, 2141, 2143, 2153, 2161, 2179, 2203, 2207, 2213, 2221, 
2237, 2239, 2243, 2251, 2267, 2269, 2273, 2281, 2287, 2293, 2297, 
2309, 2311, 2333, 2339, 2341, 2347, 2351, 2357, 2371, 2377, 2381, 
2383, 2389, 2393, 2399, 2411, 2417, 2423, 2437, 2441, 2447, 2459, 
2467, 2473, 2477, 2503, 2521, 2531, 2539, 2543, 2549, 2551, 2557, 
2579, 2591, 2593, 2609, 2617, 2621, 2633, 2647, 2657, 2659, 2663, 
2671, 2677, 2683, 2687, 2689, 2693, 2699, 2707, 2711, 2713, 2719, 
2729, 2731, 2741, 2749, 2753, 2767, 2777, 2789, 2791, 2797, 2801, 
2803, 2819, 2833, 2837, 2843, 2851, 2857, 2861, 2879, 2887, 2897, 
2903, 2909, 2917, 2927, 2939, 2953, 2957, 2963, 2969, 2971, 2999, 
3001, 3011, 3019, 3023, 3037, 3041, 3049, 3061, 3067, 3079, 3083, 
3089, 3109, 3119, 3121, 3137, 3163, 3167, 3169, 3181, 3187, 3191, 
3203, 3209, 3217, 3221, 3229, 3251, 3253, 3257, 3259, 3271, 3299, 
3301, 3307, 3313, 3319, 3323, 3329, 3331, 3343, 3347, 3359, 3361, 
3371, 3373, 3389, 3391, 3407, 3413, 3433, 3449, 3457, 3461, 3463, 
3467, 3469, 3491, 3499, 3511, 3517, 3527, 3529, 3533, 3539, 3541, 
3547, 3557, 3559, 3571, 3581, 3583, 3593, 3607, 3613, 3617, 3623, 
3631, 3637, 3643, 3659, 3671, 3673, 3677, 3691, 3697, 3701, 3709, 
3719, 3727, 3733, 3739, 3761, 3767, 3769, 3779, 3793, 3797, 3803, 
3821, 3823, 3833, 3847, 3851, 3853, 3863, 3877, 3881, 3889, 3907, 
3911, 3917, 3919, 3923, 3929, 3931, 3943, 3947, 3967, 3989, 4001, 
4003, 4007, 4013, 4019, 4021, 4027, 4049, 4051, 4057, 4073, 4079, 
4091, 4093, 4099, 4111, 4127, 4129, 4133, 4139, 4153, 4157, 4159, 
4177, 4201, 4211, 4217, 4219, 4229, 4231, 4241, 4243, 4253, 4259, 
4261, 4271, 4273, 4283, 4289, 4297, 4327, 4337, 4339, 4349, 4357, 
4363, 4373, 4391, 4397, 4409, 4421, 4423, 4441, 4447, 4451, 4457, 
4463, 4481, 4483, 4493, 4507, 4513, 4517, 4519, 4523, 4547, 4549, 
4561, 4567, 4583, 4591, 4597, 4603, 4621, 4637, 4639, 4643, 4649, 
4651, 4657, 4663, 4673, 4679, 4691, 4703, 4721, 4723, 4729, 4733, 
4751, 4759, 4783, 4787, 4789, 4793, 4799, 4801, 4813, 4817, 4831, 
4861, 4871, 4877, 4889, 4903, 4909, 4919, 4931, 4933, 4937, 4943, 
4951, 4957, 4967, 4969, 4973, 4987, 4993, 4999, 5003, 5009, 5011, 
5021, 5023, 5039, 5051, 5059, 5077, 5081, 5087, 5099, 5101, 5107, 
5113, 5119, 5147, 5153, 5167, 5171, 5179, 5189, 5197, 5209, 5227, 
5231, 5233, 5237, 5261, 5273, 5279, 5281, 5297, 5303, 5309, 5323, 
5333, 5347, 5351, 5381, 5387, 5393, 5399, 5407, 5413, 5417, 5419, 
5431, 5437, 5441, 5443, 5449, 5471, 5477, 5479, 5483, 5501, 5503, 
5507, 5519, 5521, 5527, 5531, 5557, 5563, 5569, 5573, 5581, 5591, 
5623, 5639, 5641, 5647, 5651, 5653, 5657, 5659, 5669, 5683, 5689, 
5693, 5701, 5711, 5717, 5737, 5741, 5743, 5749, 5779, 5783, 5791, 
5801, 5807, 5813, 5821, 5827, 5839, 5843, 5849, 5851, 5857, 5861, 
5867, 5869, 5879, 5881, 5897, 5903, 5923, 5927, 5939, 5953, 5981, 
5987, 6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 
6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, 
6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 
6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 
6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 
6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 
6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 
6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, 
6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 
6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 
6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997, 7001, 7013, 7019, 
7027, 7039, 7043, 7057, 7069, 7079, 7103, 7109, 7121, 7127, 7129, 
7151, 7159, 7177, 7187, 7193, 7207, 7211, 7213, 7219, 7229, 7237, 
7243, 7247, 7253, 7283, 7297, 7307, 7309, 7321, 7331, 7333, 7349, 
7351, 7369, 7393, 7411, 7417, 7433, 7451, 7457, 7459, 7477, 7481, 
7487, 7489, 7499, 7507, 7517, 7523, 7529, 7537, 7541, 7547, 7549, 
7559, 7561, 7573, 7577, 7583, 7589, 7591, 7603, 7607, 7621, 7639, 
7643, 7649, 7669, 7673, 7681, 7687, 7691, 7699, 7703, 7717, 7723, 
7727, 7741, 7753, 7757, 7759, 7789, 7793, 7817, 7823, 7829, 7841, 
7853, 7867, 7873, 7877, 7879, 7883, 7901, 7907, 7919, 7927, 7933, 
7937, 7949, 7951, 7963, 7993, 8009, 8011, 8017, 8039, 8053, 8059, 
8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161, 
8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 8233, 8237, 8243, 
8263, 8269, 8273, 8287, 8291, 8293, 8297, 8311, 8317, 8329, 8353, 
8363, 8369, 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443, 8447, 
8461, 8467, 8501, 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 
8581, 8597, 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 
8677, 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, 
8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, 8837, 
8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, 8933, 8941, 
8951, 8963, 8969, 8971, 8999, 9001, 9007, 9011, 9013, 9029, 9041, 
9043, 9049, 9059, 9067, 9091, 9103, 9109, 9127, 9133, 9137, 9151, 
9157, 9161, 9173, 9181, 9187, 9199, 9203, 9209, 9221, 9227, 9239, 
9241, 9257, 9277, 9281, 9283, 9293, 9311, 9319, 9323, 9337, 9341, 
9343, 9349, 9371, 9377, 9391, 9397, 9403, 9413, 9419, 9421, 9431, 
9433, 9437, 9439, 9461, 9463, 9467, 9473, 9479, 9491, 9497, 9511, 
9521, 9533, 9539, 9547, 9551, 9587, 9601, 9613, 9619, 9623, 9629, 
9631, 9643, 9649, 9661, 9677, 9679, 9689, 9697, 9719, 9721, 9733, 
9739, 9743, 9749, 9767, 9769, 9781, 9787, 9791, 9803, 9811, 9817, 
9829, 9833, 9839, 9851, 9857, 9859, 9871, 9883, 9887, 9901, 9907, 
9923, 9929, 9931, 9941, 9949, 9967, 9973, 10007, 10009, 10037, 10039, 
10061, 10067, 10069, 10079, 10091, 10093, 10099, 10103, 10111, 10133, 10139, 
10141, 10151, 10159, 10163, 10169, 10177, 10181, 10193, 10211, 10223, 10243, 
10247, 10253, 10259, 10267, 10271, 10273, 10289, 10301, 10303, 10313, 10321, 
10331, 10333, 10337, 10343, 10357, 10369, 10391, 10399, 10427, 10429, 10433, 
10453, 10457, 10459, 10463, 10477, 10487, 10499, 10501, 10513, 10529, 10531, 
10559, 10567, 10589, 10597, 10601, 10607, 10613, 10627, 10631, 10639, 10651, 
10657, 10663, 10667, 10687, 10691, 10709, 10711, 10723, 10729, 10733, 10739, 
10753, 10771, 10781, 10789, 10799, 10831, 10837, 10847, 10853, 10859, 10861, 
10867, 10883, 10889, 10891, 10903, 10909, 10937, 10939, 10949, 10957, 10973, 
10979, 10987, 10993, 11003, 11027, 11047, 11057, 11059, 11069, 11071, 11083, 
11087, 11093, 11113, 11117, 11119, 11131, 11149, 11159, 11161, 11171, 11173, 
11177, 11197, 11213, 11239, 11243, 11251, 11257, 11261, 11273, 11279, 11287, 
11299, 11311, 11317, 11321, 11329, 11351, 11353, 11369, 11383, 11393, 11399, 
11411, 11423, 11437, 11443, 11447, 11467, 11471, 11483, 11489, 11491, 11497, 
11503, 11519, 11527, 11549, 11551, 11579, 11587, 11593, 11597, 11617, 11621, 
11633, 11657, 11677, 11681, 11689, 11699, 11701, 11717, 11719, 11731, 11743, 
11777, 11779, 11783, 11789, 11801, 11807, 11813, 11821, 11827, 11831, 11833, 
11839, 11863, 11867, 11887, 11897, 11903, 11909, 11923, 11927, 11933, 11939, 
11941, 11953, 11959, 11969, 11971, 11981, 11987, 12007, 12011, 12037, 12041, 
12043, 12049, 12071, 12073, 12097, 12101, 12107, 12109, 12113, 12119, 12143, 
12149, 12157, 12161, 12163, 12197, 12203, 12211, 12227, 12239, 12241, 12251, 
12253, 12263, 12269, 12277, 12281, 12289, 12301, 12323, 12329, 12343, 12347, 
12373, 12377, 12379, 12391, 12401, 12409, 12413, 12421, 12433, 12437, 12451, 
12457, 12473, 12479, 12487, 12491, 12497, 12503, 12511, 12517, 12527, 12539, 
12541, 12547, 12553, 12569, 12577, 12583, 12589, 12601, 12611, 12613, 12619, 
12637, 12641, 12647, 12653, 12659, 12671, 12689, 12697, 12703, 12713, 12721, 
12739, 12743, 12757, 12763, 12781, 12791, 12799, 12809, 12821, 12823, 12829, 
12841, 12853, 12889, 12893, 12899, 12907, 12911, 12917, 12919, 12923, 12941, 
12953, 12959, 12967, 12973, 12979, 12983, 13001, 13003, 13007, 13009, 13033, 
13037, 13043, 13049, 13063, 13093, 13099, 13103, 13109, 13121, 13127, 13147, 
13151, 13159, 13163, 13171, 13177, 13183, 13187, 13217, 13219, 13229, 13241, 
13249, 13259, 13267, 13291, 13297, 13309, 13313, 13327, 13331, 13337, 13339, 
13367, 13381, 13397, 13399, 13411, 13417, 13421, 13441, 13451, 13457, 13463, 
13469, 13477, 13487, 13499, 13513, 13523, 13537, 13553, 13567, 13577, 13591, 
13597, 13613, 13619, 13627, 13633, 13649, 13669, 13679, 13681, 13687, 13691, 
13693, 13697, 13709, 13711, 13721, 13723, 13729, 13751, 13757, 13759, 13763, 
13781, 13789, 13799, 13807, 13829, 13831, 13841, 13859, 13873, 13877, 13879, 
13883, 13901, 13903, 13907, 13913, 13921, 13931, 13933, 13963, 13967, 13997, 
13999, 14009, 14011, 14029, 14033, 14051, 14057, 14071, 14081, 14083, 14087, 
14107, 14143, 14149, 14153, 14159, 14173, 14177, 14197, 14207, 14221, 14243, 
14249, 14251, 14281, 14293, 14303, 14321, 14323, 14327, 14341, 14347, 14369, 
14387, 14389, 14401, 14407, 14411, 14419, 14423, 14431, 14437, 14447, 14449, 
14461, 14479, 14489, 14503, 14519, 14533, 14537, 14543, 14549, 14551, 14557, 
14561, 14563, 14591, 14593, 14621, 14627, 14629, 14633, 14639, 14653, 14657, 
14669, 14683, 14699, 14713, 14717, 14723, 14731, 14737, 14741, 14747, 14753, 
14759, 14767, 14771, 14779, 14783, 14797, 14813, 14821, 14827, 14831, 14843, 
14851, 14867, 14869, 14879, 14887, 14891, 14897, 14923, 14929, 14939, 14947, 
14951, 14957, 14969, 14983, 15013, 15017, 15031, 15053, 15061, 15073, 15077, 
15083, 15091, 15101, 15107, 15121, 15131, 15137, 15139, 15149, 15161, 15173, 
15187, 15193, 15199, 15217, 15227, 15233, 15241, 15259, 15263, 15269, 15271, 
15277, 15287, 15289, 15299, 15307, 15313, 15319, 15329, 15331, 15349, 15359, 
15361, 15373, 15377, 15383, 15391, 15401, 15413, 15427, 15439, 15443, 15451, 
15461, 15467, 15473, 15493, 15497, 15511, 15527, 15541, 15551, 15559, 15569, 
15581, 15583, 15601, 15607, 15619, 15629, 15641, 15643, 15647, 15649, 15661, 
15667, 15671, 15679, 15683, 15727, 15731, 15733, 15737, 15739, 15749, 15761, 
15767, 15773, 15787, 15791, 15797, 15803, 15809, 15817, 15823, 15859, 15877, 
15881, 15887, 15889, 15901, 15907, 15913, 15919, 15923, 15937, 15959, 15971, 
15973, 15991, 16001, 16007, 16033, 16057, 16061, 16063, 16067, 16069, 16073, 
16087, 16091, 16097, 16103, 16111, 16127, 16139, 16141, 16183, 16187, 16189, 
16193, 16217, 16223, 16229, 16231, 16249, 16253, 16267, 16273, 16301, 16319, 
16333, 16339, 16349, 16361, 16363, 16369, 16381, 16411, 16417, 16421, 16427, 
16433, 16447, 16451, 16453, 16477, 16481, 16487, 16493, 16519, 16529, 16547, 
16553, 16561, 16567, 16573, 16603, 16607, 16619, 16631, 16633, 16649, 16651, 
16657, 16661, 16673, 16691, 16693, 16699, 16703, 16729, 16741, 16747, 16759, 
16763, 16787, 16811, 16823, 16829, 16831, 16843, 16871, 16879, 16883, 16889, 
16901, 16903, 16921, 16927, 16931, 16937, 16943, 16963, 16979, 16981, 16987, 
16993, 17011, 17021, 17027, 17029, 17033, 17041, 17047, 17053, 17077, 17093, 
17099, 17107, 17117, 17123, 17137, 17159, 17167, 17183, 17189, 17191, 17203, 
17207, 17209, 17231, 17239, 17257, 17291, 17293, 17299, 17317, 17321, 17327, 
17333, 17341, 17351, 17359, 17377, 17383, 17387, 17389, 17393, 17401, 17417, 
17419, 17431, 17443, 17449, 17467, 17471, 17477, 17483, 17489, 17491, 17497, 
17509, 17519, 17539, 17551, 17569, 17573, 17579, 17581, 17597, 17599, 17609, 
17623, 17627, 17657, 17659, 17669, 17681, 17683, 17707, 17713, 17729, 17737, 
17747, 17749, 17761, 17783, 17789, 17791, 17807, 17827, 17837, 17839, 17851, 
17863, 17881, 17891, 17903, 17909, 17911, 17921, 17923, 17929, 17939, 17957, 
17959, 17971, 17977, 17981, 17987, 17989, 18013, 18041, 18043, 18047, 18049, 
18059, 18061, 18077, 18089, 18097, 18119, 18121, 18127, 18131, 18133, 18143, 
18149, 18169, 18181, 18191, 18199, 18211, 18217, 18223, 18229, 18233, 18251, 
18253, 18257, 18269, 18287, 18289, 18301, 18307, 18311, 18313, 18329, 18341, 
18353, 18367, 18371, 18379, 18397, 18401, 18413, 18427, 18433, 18439, 18443, 
18451, 18457, 18461, 18481, 18493, 18503, 18517, 18521, 18523, 18539, 18541, 
18553, 18583, 18587, 18593, 18617, 18637, 18661, 18671, 18679, 18691, 18701, 
18713, 18719, 18731, 18743, 18749, 18757, 18773, 18787, 18793, 18797, 18803, 
18839, 18859, 18869, 18899, 18911, 18913, 18917, 18919, 18947, 18959, 18973, 
18979, 19001, 19009, 19013, 19031, 19037, 19051, 19069, 19073, 19079, 19081, 
19087, 19121, 19139, 19141, 19157, 19163, 19181, 19183, 19207, 19211, 19213, 
19219, 19231, 19237, 19249, 19259, 19267, 19273, 19289, 19301, 19309, 19319, 
19333, 19373, 19379, 19381, 19387, 19391, 19403, 19417, 19421, 19423, 19427, 
19429, 19433, 19441, 19447, 19457, 19463, 19469, 19471, 19477, 19483, 19489, 
19501, 19507, 19531, 19541, 19543, 19553, 19559, 19571, 19577, 19583, 19597, 
19603, 19609, 19661, 19681, 19687, 19697, 19699, 19709, 19717, 19727, 19739, 
19751, 19753, 19759, 19763, 19777, 19793, 19801, 19813, 19819, 19841, 19843, 
19853, 19861, 19867, 19889, 19891, 19913, 19919, 19927, 19937, 19949, 19961, 
19963, 19973, 19979, 19991, 19993, 19997, 20011, 20021, 20023, 20029, 20047, 
20051, 20063, 20071, 20089, 20101, 20107, 20113, 20117, 20123, 20129, 20143, 
20147, 20149, 20161, 20173, 20177, 20183, 20201, 20219, 20231, 20233, 20249, 
20261, 20269, 20287, 20297, 20323, 20327, 20333, 20341, 20347, 20353, 20357, 
20359, 20369, 20389, 20393, 20399, 20407, 20411, 20431, 20441, 20443, 20477, 
20479, 20483, 20507, 20509, 20521, 20533, 20543, 20549, 20551, 20563, 20593, 
20599, 20611, 20627, 20639, 20641, 20663, 20681, 20693, 20707, 20717, 20719, 
20731, 20743, 20747, 20749, 20753, 20759, 20771, 20773, 20789, 20807, 20809, 
20849, 20857, 20873, 20879, 20887, 20897, 20899, 20903, 20921, 20929, 20939, 
20947, 20959, 20963, 20981, 20983, 21001, 21011, 21013, 21017, 21019, 21023, 
21031, 21059, 21061, 21067, 21089, 21101, 21107, 21121, 21139, 21143, 21149, 
21157, 21163, 21169, 21179, 21187, 21191, 21193, 21211, 21221, 21227, 21247, 
21269, 21277, 21283, 21313, 21317, 21319, 21323, 21341, 21347, 21377, 21379, 
21383, 21391, 21397, 21401, 21407, 21419, 21433, 21467, 21481, 21487, 21491, 
21493, 21499, 21503, 21517, 21521, 21523, 21529, 21557, 21559, 21563, 21569, 
21577, 21587, 21589, 21599, 21601, 21611, 21613, 21617, 21647, 21649, 21661, 
21673, 21683, 21701, 21713, 21727, 21737, 21739, 21751, 21757, 21767, 21773, 
21787, 21799, 21803, 21817, 21821, 21839, 21841, 21851, 21859, 21863, 21871, 
21881, 21893, 21911, 21929, 21937, 21943, 21961, 21977, 21991, 21997, 22003, 
22013, 22027, 22031, 22037, 22039, 22051, 22063, 22067, 22073, 22079, 22091, 
22093, 22109, 22111, 22123, 22129, 22133, 22147, 22153, 22157, 22159, 22171, 
22189, 22193, 22229, 22247, 22259, 22271, 22273, 22277, 22279, 22283, 22291, 
22303, 22307, 22343, 22349, 22367, 22369, 22381, 22391, 22397, 22409, 22433, 
22441, 22447, 22453, 22469, 22481, 22483, 22501, 22511, 22531, 22541, 22543, 
22549, 22567, 22571, 22573, 22613, 22619, 22621, 22637, 22639, 22643, 22651, 
22669, 22679, 22691, 22697, 22699, 22709, 22717, 22721, 22727, 22739, 22741, 
22751, 22769, 22777, 22783, 22787, 22807, 22811, 22817, 22853, 22859, 22861, 
22871, 22877, 22901, 22907, 22921, 22937, 22943, 22961, 22963, 22973, 22993, 
23003, 23011, 23017, 23021, 23027, 23029, 23039, 23041, 23053, 23057, 23059, 
23063, 23071, 23081, 23087, 23099, 23117, 23131, 23143, 23159, 23167, 23173, 
23189, 23197, 23201, 23203, 23209, 23227, 23251, 23269, 23279, 23291, 23293, 
23297, 23311, 23321, 23327, 23333, 23339, 23357, 23369, 23371, 23399, 23417, 
23431, 23447, 23459, 23473, 23497, 23509, 23531, 23537, 23539, 23549, 23557, 
23561, 23563, 23567, 23581, 23593, 23599, 23603, 23609, 23623, 23627, 23629, 
23633, 23663, 23669, 23671, 23677, 23687, 23689, 23719, 23741, 23743, 23747, 
23753, 23761, 23767, 23773, 23789, 23801, 23813, 23819, 23827, 23831, 23833, 
23857, 23869, 23873, 23879, 23887, 23893, 23899, 23909, 23911, 23917, 23929, 
23957, 23971, 23977, 23981, 23993, 24001, 24007, 24019, 24023, 24029, 24043, 
24049, 24061, 24071, 24077, 24083, 24091, 24097, 24103, 24107, 24109, 24113, 
24121, 24133, 24137, 24151, 24169, 24179, 24181, 24197, 24203, 24223, 24229, 
24239, 24247, 24251, 24281, 24317, 24329, 24337, 24359, 24371, 24373, 24379, 
24391, 24407, 24413, 24419, 24421, 24439, 24443, 24469, 24473, 24481, 24499, 
24509, 24517, 24527, 24533, 24547, 24551, 24571, 24593, 24611, 24623, 24631, 
24659, 24671, 24677, 24683, 24691, 24697, 24709, 24733, 24749, 24763, 24767, 
24781, 24793, 24799, 24809, 24821, 24841, 24847, 24851, 24859, 24877, 24889, 
24907, 24917, 24919, 24923, 24943, 24953, 24967, 24971, 24977, 24979, 24989, 
25013, 25031, 25033, 25037, 25057, 25073, 25087, 25097, 25111, 25117, 25121, 
25127, 25147, 25153, 25163, 25169, 25171, 25183, 25189, 25219, 25229, 25237, 
25243, 25247, 25253, 25261, 25301, 25303, 25307, 25309, 25321, 25339, 25343, 
25349, 25357, 25367, 25373, 25391, 25409, 25411, 25423, 25439, 25447, 25453, 
25457, 25463, 25469, 25471, 25523, 25537, 25541, 25561, 25577, 25579, 25583, 
25589, 25601, 25603, 25609, 25621, 25633, 25639, 25643, 25657, 25667, 25673, 
25679, 25693, 25703, 25717, 25733, 25741, 25747, 25759, 25763, 25771, 25793, 
25799, 25801, 25819, 25841, 25847, 25849, 25867, 25873, 25889, 25903, 25913, 
25919, 25931, 25933, 25939, 25943, 25951, 25969, 25981, 25997, 25999, 26003, 
26017, 26021, 26029, 26041, 26053, 26083, 26099, 26107, 26111, 26113, 26119, 
26141, 26153, 26161, 26171, 26177, 26183, 26189, 26203, 26209, 26227, 26237, 
26249, 26251, 26261, 26263, 26267, 26293, 26297, 26309, 26317, 26321, 26339, 
26347, 26357, 26371, 26387, 26393, 26399, 26407, 26417, 26423, 26431, 26437, 
26449, 26459, 26479, 26489, 26497, 26501, 26513, 26539, 26557, 26561, 26573, 
26591, 26597, 26627, 26633, 26641, 26647, 26669, 26681, 26683, 26687, 26693, 
26699, 26701, 26711, 26713, 26717, 26723, 26729, 26731, 26737, 26759, 26777, 
26783, 26801, 26813, 26821, 26833, 26839, 26849, 26861, 26863, 26879, 26881, 
26891, 26893, 26903, 26921, 26927, 26947, 26951, 26953, 26959, 26981, 26987, 
26993, 27011, 27017, 27031, 27043, 27059, 27061, 27067, 27073, 27077, 27091, 
27103, 27107, 27109, 27127, 27143, 27179, 27191, 27197, 27211, 27239, 27241, 
27253, 27259, 27271, 27277, 27281, 27283, 27299, 27329, 27337, 27361, 27367, 
27397, 27407, 27409, 27427, 27431, 27437, 27449, 27457, 27479, 27481, 27487, 
27509, 27527, 27529, 27539, 27541, 27551, 27581, 27583, 27611, 27617, 27631, 
27647, 27653, 27673, 27689, 27691, 27697, 27701, 27733, 27737, 27739, 27743, 
27749, 27751, 27763, 27767, 27773, 27779, 27791, 27793, 27799, 27803, 27809, 
27817, 27823, 27827, 27847, 27851, 27883, 27893, 27901, 27917, 27919, 27941, 
27943, 27947, 27953, 27961, 27967, 27983, 27997, 28001, 28019, 28027, 28031, 
28051, 28057, 28069, 28081, 28087, 28097, 28099, 28109, 28111, 28123, 28151, 
28163, 28181, 28183, 28201, 28211, 28219, 28229, 28277, 28279, 28283, 28289, 
28297, 28307, 28309, 28319, 28349, 28351, 28387, 28393, 28403, 28409, 28411, 
28429, 28433, 28439, 28447, 28463, 28477, 28493, 28499, 28513, 28517, 28537, 
28541, 28547, 28549, 28559, 28571, 28573, 28579, 28591, 28597, 28603, 28607, 
28619, 28621, 28627, 28631, 28643, 28649, 28657, 28661, 28663, 28669, 28687, 
28697, 28703, 28711, 28723, 28729, 28751, 28753, 28759, 28771, 28789, 28793, 
28807, 28813, 28817, 28837, 28843, 28859, 28867, 28871, 28879, 28901, 28909, 
28921, 28927, 28933, 28949, 28961, 28979, 29009, 29017, 29021, 29023, 29027, 
29033, 29059, 29063, 29077, 29101, 29123, 29129, 29131, 29137, 29147, 29153, 
29167, 29173, 29179, 29191, 29201, 29207, 29209, 29221, 29231, 29243, 29251, 
29269, 29287, 29297, 29303, 29311, 29327, 29333, 29339, 29347, 29363, 29383, 
29387, 29389, 29399, 29401, 29411, 29423, 29429, 29437, 29443, 29453, 29473, 
29483, 29501, 29527, 29531, 29537, 29567, 29569, 29573, 29581, 29587, 29599, 
29611, 29629, 29633, 29641, 29663, 29669, 29671, 29683, 29717, 29723, 29741, 
29753, 29759, 29761, 29789, 29803, 29819, 29833, 29837, 29851, 29863, 29867, 
29873, 29879, 29881, 29917, 29921, 29927, 29947, 29959, 29983, 29989, 30011, 
30013, 30029, 30047, 30059, 30071, 30089, 30091, 30097, 30103, 30109, 30113, 
30119, 30133, 30137, 30139, 30161, 30169, 30181, 30187, 30197, 30203, 30211, 
30223, 30241, 30253, 30259, 30269, 30271, 30293, 30307, 30313, 30319, 30323, 
30341, 30347, 30367, 30389, 30391, 30403, 30427, 30431, 30449, 30467, 30469, 
30491, 30493, 30497, 30509, 30517, 30529, 30539, 30553, 30557, 30559, 30577, 
30593, 30631, 30637, 30643, 30649, 30661, 30671, 30677, 30689, 30697, 30703, 
30707, 30713, 30727, 30757, 30763, 30773, 30781, 30803, 30809, 30817, 30829, 
30839, 30841, 30851, 30853, 30859, 30869, 30871, 30881, 30893, 30911, 30931, 
30937, 30941, 30949, 30971, 30977, 30983, 31013, 31019, 31033, 31039, 31051, 
31063, 31069, 31079, 31081, 31091, 31121, 31123, 31139, 31147, 31151, 31153, 
31159, 31177, 31181, 31183, 31189, 31193, 31219, 31223, 31231, 31237, 31247, 
31249, 31253, 31259, 31267, 31271, 31277, 31307, 31319, 31321, 31327, 31333, 
31337, 31357, 31379, 31387, 31391, 31393, 31397, 31469, 31477, 31481, 31489, 
31511, 31513, 31517, 31531, 31541, 31543, 31547, 31567, 31573, 31583, 31601, 
31607, 31627, 31643, 31649, 31657, 31663, 31667, 31687, 31699, 31721, 31723, 
31727, 31729, 31741, 31751, 31769, 31771, 31793, 31799, 31817, 31847, 31849, 
31859, 31873, 31883, 31891, 31907, 31957, 31963, 31973, 31981, 31991, 32003, 
32009, 32027, 32029, 32051, 32057, 32059, 32063, 32069, 32077, 32083, 32089, 
32099, 32117, 32119, 32141, 32143, 32159, 32173, 32183, 32189, 32191, 32203, 
32213, 32233, 32237, 32251, 32257, 32261, 32297, 32299, 32303, 32309, 32321, 
32323, 32327, 32341, 32353, 32359, 32363, 32369, 32371, 32377, 32381, 32401, 
32411, 32413, 32423, 32429, 32441, 32443, 32467, 32479, 32491, 32497, 32503, 
32507, 32531, 32533, 32537, 32561, 32563, 32569, 32573, 32579, 32587, 32603, 
32609, 32611, 32621, 32633, 32647, 32653, 32687, 32693, 32707, 32713, 32717, 
32719, 32749, 32771, 32779, 32783, 32789, 32797, 32801, 32803, 32831, 32833, 
32839, 32843, 32869, 32887, 32909, 32911, 32917, 32933, 32939, 32941, 32957, 
32969, 32971, 32983, 32987, 32993, 32999, 33013, 33023, 33029, 33037, 33049, 
33053, 33071, 33073, 33083, 33091, 33107, 33113, 33119, 33149, 33151, 33161, 
33179, 33181, 33191, 33199, 33203, 33211, 33223, 33247, 33287, 33289, 33301, 
33311, 33317, 33329, 33331, 33343, 33347, 33349, 33353, 33359, 33377, 33391, 
33403, 33409, 33413, 33427, 33457, 33461, 33469, 33479, 33487, 33493, 33503, 
33521, 33529, 33533, 33547, 33563, 33569, 33577, 33581, 33587, 33589, 33599, 
33601, 33613, 33617, 33619, 33623, 33629, 33637, 33641, 33647, 33679, 33703, 
33713, 33721, 33739, 33749, 33751, 33757, 33767, 33769, 33773, 33791, 33797, 
33809, 33811, 33827, 33829, 33851, 33857, 33863, 33871, 33889, 33893, 33911, 
33923, 33931, 33937, 33941, 33961, 33967, 33997, 34019, 34031, 34033, 34039, 
34057, 34061, 34123, 34127, 34129, 34141, 34147, 34157, 34159, 34171, 34183, 
34211, 34213, 34217, 34231, 34253, 34259, 34261, 34267, 34273, 34283, 34297, 
34301, 34303, 34313, 34319, 34327, 34337, 34351, 34361, 34367, 34369, 34381, 
34403, 34421, 34429, 34439, 34457, 34469, 34471, 34483, 34487, 34499, 34501, 
34511, 34513, 34519, 34537, 34543, 34549, 34583, 34589, 34591, 34603, 34607, 
34613, 34631, 34649, 34651, 34667, 34673, 34679, 34687, 34693, 34703, 34721, 
34729, 34739, 34747, 34757, 34759, 34763, 34781, 34807, 34819, 34841, 34843, 
34847, 34849, 34871, 34877, 34883, 34897, 34913, 34919, 34939, 34949, 34961, 
34963, 34981, 35023, 35027, 35051, 35053, 35059, 35069, 35081, 35083, 35089, 
35099, 35107, 35111, 35117, 35129, 35141, 35149, 35153, 35159, 35171, 35201, 
35221, 35227, 35251, 35257, 35267, 35279, 35281, 35291, 35311, 35317, 35323, 
35327, 35339, 35353, 35363, 35381, 35393, 35401, 35407, 35419, 35423, 35437, 
35447, 35449, 35461, 35491, 35507, 35509, 35521, 35527, 35531, 35533, 35537, 
35543, 35569, 35573, 35591, 35593, 35597, 35603, 35617, 35671, 35677, 35729, 
35731, 35747, 35753, 35759, 35771, 35797, 35801, 35803, 35809, 35831, 35837, 
35839, 35851, 35863, 35869, 35879, 35897, 35899, 35911, 35923, 35933, 35951, 
35963, 35969, 35977, 35983, 35993, 35999, 36007, 36011, 36013, 36017, 36037, 
36061, 36067, 36073, 36083, 36097, 36107, 36109, 36131, 36137, 36151, 36161, 
36187, 36191, 36209, 36217, 36229, 36241, 36251, 36263, 36269, 36277, 36293, 
36299, 36307, 36313, 36319, 36341, 36343, 36353, 36373, 36383, 36389, 36433, 
36451, 36457, 36467, 36469, 36473, 36479, 36493, 36497, 36523, 36527, 36529, 
36541, 36551, 36559, 36563, 36571, 36583, 36587, 36599, 36607, 36629, 36637, 
36643, 36653, 36671, 36677, 36683, 36691, 36697, 36709, 36713, 36721, 36739, 
36749, 36761, 36767, 36779, 36781, 36787, 36791, 36793, 36809, 36821, 36833, 
36847, 36857, 36871, 36877, 36887, 36899, 36901, 36913, 36919, 36923, 36929, 
36931, 36943, 36947, 36973, 36979, 36997, 37003, 37013, 37019, 37021, 37039, 
37049, 37057, 37061, 37087, 37097, 37117, 37123, 37139, 37159, 37171, 37181, 
37189, 37199, 37201, 37217, 37223, 37243, 37253, 37273, 37277, 37307, 37309, 
37313, 37321, 37337, 37339, 37357, 37361, 37363, 37369, 37379, 37397, 37409, 
37423, 37441, 37447, 37463, 37483, 37489, 37493, 37501, 37507, 37511, 37517, 
37529, 37537, 37547, 37549, 37561, 37567, 37571, 37573, 37579, 37589, 37591, 
37607, 37619, 37633, 37643, 37649, 37657, 37663, 37691, 37693, 37699, 37717, 
37747, 37781, 37783, 37799, 37811, 37813, 37831, 37847, 37853, 37861, 37871, 
37879, 37889, 37897, 37907, 37951, 37957, 37963, 37967, 37987, 37991, 37993, 
37997, 38011, 38039, 38047, 38053, 38069, 38083, 38113, 38119, 38149, 38153, 
38167, 38177, 38183, 38189, 38197, 38201, 38219, 38231, 38237, 38239, 38261, 
38273, 38281, 38287, 38299, 38303, 38317, 38321, 38327, 38329, 38333, 38351, 
38371, 38377, 38393, 38431, 38447, 38449, 38453, 38459, 38461, 38501, 38543, 
38557, 38561, 38567, 38569, 38593, 38603, 38609, 38611, 38629, 38639, 38651, 
38653, 38669, 38671, 38677, 38693, 38699, 38707, 38711, 38713, 38723, 38729, 
38737, 38747, 38749, 38767, 38783, 38791, 38803, 38821, 38833, 38839, 38851, 
38861, 38867, 38873, 38891, 38903, 38917, 38921, 38923, 38933, 38953, 38959, 
38971, 38977, 38993, 39019, 39023, 39041, 39043, 39047, 39079, 39089, 39097, 
39103, 39107, 39113, 39119, 39133, 39139, 39157, 39161, 39163, 39181, 39191, 
39199, 39209, 39217, 39227, 39229, 39233, 39239, 39241, 39251, 39293, 39301, 
39313, 39317, 39323, 39341, 39343, 39359, 39367, 39371, 39373, 39383, 39397, 
39409, 39419, 39439, 39443, 39451, 39461, 39499, 39503, 39509, 39511, 39521, 
39541, 39551, 39563, 39569, 39581, 39607, 39619, 39623, 39631, 39659, 39667, 
39671, 39679, 39703, 39709, 39719, 39727, 39733, 39749, 39761, 39769, 39779, 
39791, 39799, 39821, 39827, 39829, 39839, 39841, 39847, 39857, 39863, 39869, 
39877, 39883, 39887, 39901, 39929, 39937, 39953, 39971, 39979, 39983, 39989, 
40009, 40013, 40031, 40037, 40039, 40063, 40087, 40093, 40099, 40111, 40123, 
40127, 40129, 40151, 40153, 40163, 40169, 40177, 40189, 40193, 40213, 40231, 
40237, 40241, 40253, 40277, 40283, 40289, 40343, 40351, 40357, 40361, 40387, 
40423, 40427, 40429, 40433, 40459, 40471, 40483, 40487, 40493, 40499, 40507, 
40519, 40529, 40531, 40543, 40559, 40577, 40583, 40591, 40597, 40609, 40627, 
40637, 40639, 40693, 40697, 40699, 40709, 40739, 40751, 40759, 40763, 40771, 
40787, 40801, 40813, 40819, 40823, 40829, 40841, 40847, 40849, 40853, 40867, 
40879, 40883, 40897, 40903, 40927, 40933, 40939, 40949, 40961, 40973, 40993, 
41011, 41017, 41023, 41039, 41047, 41051, 41057, 41077, 41081, 41113, 41117, 
41131, 41141, 41143, 41149, 41161, 41177, 41179, 41183, 41189, 41201, 41203, 
41213, 41221, 41227, 41231, 41233, 41243, 41257, 41263, 41269, 41281, 41299, 
41333, 41341, 41351, 41357, 41381, 41387, 41389, 41399, 41411, 41413, 41443, 
41453, 41467, 41479, 41491, 41507, 41513, 41519, 41521, 41539, 41543, 41549, 
41579, 41593, 41597, 41603, 41609, 41611, 41617, 41621, 41627, 41641, 41647, 
41651, 41659, 41669, 41681, 41687, 41719, 41729, 41737, 41759, 41761, 41771, 
41777, 41801, 41809, 41813, 41843, 41849, 41851, 41863, 41879, 41887, 41893, 
41897, 41903, 41911, 41927, 41941, 41947, 41953, 41957, 41959, 41969, 41981, 
41983, 41999, 42013, 42017, 42019, 42023, 42043, 42061, 42071, 42073, 42083, 
42089, 42101, 42131, 42139, 42157, 42169, 42179, 42181, 42187, 42193, 42197, 
42209, 42221, 42223, 42227, 42239, 42257, 42281, 42283, 42293, 42299, 42307, 
42323, 42331, 42337, 42349, 42359, 42373, 42379, 42391, 42397, 42403, 42407, 
42409, 42433, 42437, 42443, 42451, 42457, 42461, 42463, 42467, 42473, 42487, 
42491, 42499, 42509, 42533, 42557, 42569, 42571, 42577, 42589, 42611, 42641, 
42643, 42649, 42667, 42677, 42683, 42689, 42697, 42701, 42703, 42709, 42719, 
42727, 42737, 42743, 42751, 42767, 42773, 42787, 42793, 42797, 42821, 42829, 
42839, 42841, 42853, 42859, 42863, 42899, 42901, 42923, 42929, 42937, 42943, 
42953, 42961, 42967, 42979, 42989, 43003, 43013, 43019, 43037, 43049, 43051, 
43063, 43067, 43093, 43103, 43117, 43133, 43151, 43159, 43177, 43189, 43201, 
43207, 43223, 43237, 43261, 43271, 43283, 43291, 43313, 43319, 43321, 43331, 
43391, 43397, 43399, 43403, 43411, 43427, 43441, 43451, 43457, 43481, 43487, 
43499, 43517, 43541, 43543, 43573, 43577, 43579, 43591, 43597, 43607, 43609, 
43613, 43627, 43633, 43649, 43651, 43661, 43669, 43691, 43711, 43717, 43721, 
43753, 43759, 43777, 43781, 43783, 43787, 43789, 43793, 43801, 43853, 43867, 
43889, 43891, 43913, 43933, 43943, 43951, 43961, 43963, 43969, 43973, 43987, 
43991, 43997, 44017, 44021, 44027, 44029, 44041, 44053, 44059, 44071, 44087, 
44089, 44101, 44111, 44119, 44123, 44129, 44131, 44159, 44171, 44179, 44189, 
44201, 44203, 44207, 44221, 44249, 44257, 44263, 44267, 44269, 44273, 44279, 
44281, 44293, 44351, 44357, 44371, 44381, 44383, 44389, 44417, 44449, 44453, 
44483, 44491, 44497, 44501, 44507, 44519, 44531, 44533, 44537, 44543, 44549, 
44563, 44579, 44587, 44617, 44621, 44623, 44633, 44641, 44647, 44651, 44657, 
44683, 44687, 44699, 44701, 44711, 44729, 44741, 44753, 44771, 44773, 44777, 
44789, 44797, 44809, 44819, 44839, 44843, 44851, 44867, 44879, 44887, 44893, 
44909, 44917, 44927, 44939, 44953, 44959, 44963, 44971, 44983, 44987, 45007, 
45013, 45053, 45061, 45077, 45083, 45119, 45121, 45127, 45131, 45137, 45139, 
45161, 45179, 45181, 45191, 45197, 45233, 45247, 45259, 45263, 45281, 45289, 
45293, 45307, 45317, 45319, 45329, 45337, 45341, 45343, 45361, 45377, 45389, 
45403, 45413, 45427, 45433, 45439, 45481, 45491, 45497, 45503, 45523, 45533, 
45541, 45553, 45557, 45569, 45587, 45589, 45599, 45613, 45631, 45641, 45659, 
45667, 45673, 45677, 45691, 45697, 45707, 45737, 45751, 45757, 45763, 45767, 
45779, 45817, 45821, 45823, 45827, 45833, 45841, 45853, 45863, 45869, 45887, 
45893, 45943, 45949, 45953, 45959, 45971, 45979, 45989, 46021, 46027, 46049, 
46051, 46061, 46073, 46091, 46093, 46099, 46103, 46133, 46141, 46147, 46153, 
46171, 46181, 46183, 46187, 46199, 46219, 46229, 46237, 46261, 46271, 46273, 
46279, 46301, 46307, 46309, 46327, 46337, 46349, 46351, 46381, 46399, 46411, 
46439, 46441, 46447, 46451, 46457, 46471, 46477, 46489, 46499, 46507, 46511, 
46523, 46549, 46559, 46567, 46573, 46589, 46591, 46601, 46619, 46633, 46639, 
46643, 46649, 46663, 46679, 46681, 46687, 46691, 46703, 46723, 46727, 46747, 
46751, 46757, 46769, 46771, 46807, 46811, 46817, 46819, 46829, 46831, 46853, 
46861, 46867, 46877, 46889, 46901, 46919, 46933, 46957, 46993, 46997, 47017, 
47041, 47051, 47057, 47059, 47087, 47093, 47111, 47119, 47123, 47129, 47137, 
47143, 47147, 47149, 47161, 47189, 47207, 47221, 47237, 47251, 47269, 47279, 
47287, 47293, 47297, 47303, 47309, 47317, 47339, 47351, 47353, 47363, 47381, 
47387, 47389, 47407, 47417, 47419, 47431, 47441, 47459, 47491, 47497, 47501, 
47507, 47513, 47521, 47527, 47533, 47543, 47563, 47569, 47581, 47591, 47599, 
47609, 47623, 47629, 47639, 47653, 47657, 47659, 47681, 47699, 47701, 47711, 
47713, 47717, 47737, 47741, 47743, 47777, 47779, 47791, 47797, 47807, 47809, 
47819, 47837, 47843, 47857, 47869, 47881, 47903, 47911, 47917, 47933, 47939, 
47947, 47951, 47963, 47969, 47977, 47981, 48017, 48023, 48029, 48049, 48073, 
48079, 48091, 48109, 48119, 48121, 48131, 48157, 48163, 48179, 48187, 48193, 
48197, 48221, 48239, 48247, 48259, 48271, 48281, 48299, 48311, 48313, 48337, 
48341, 48353, 48371, 48383, 48397, 48407, 48409, 48413, 48437, 48449, 48463, 
48473, 48479, 48481, 48487, 48491, 48497, 48523, 48527, 48533, 48539, 48541, 
48563, 48571, 48589, 48593, 48611, 48619, 48623, 48647, 48649, 48661, 48673, 
48677, 48679, 48731, 48733, 48751, 48757, 48761, 48767, 48779, 48781, 48787, 
48799, 48809, 48817, 48821, 48823, 48847, 48857, 48859, 48869, 48871, 48883, 
48889, 48907, 48947, 48953, 48973, 48989, 48991, 49003, 49009, 49019, 49031, 
49033, 49037, 49043, 49057, 49069, 49081, 49103, 49109, 49117, 49121, 49123, 
49139, 49157, 49169, 49171, 49177, 49193, 49199, 49201, 49207, 49211, 49223, 
49253, 49261, 49277, 49279, 49297, 49307, 49331, 49333, 49339, 49363, 49367, 
49369, 49391, 49393, 49409, 49411, 49417, 49429, 49433, 49451, 49459, 49463, 
49477, 49481, 49499, 49523, 49529, 49531, 49537, 49547, 49549, 49559, 49597, 
49603, 49613, 49627, 49633, 49639, 49663, 49667, 49669, 49681, 49697, 49711, 
49727, 49739, 49741, 49747, 49757, 49783, 49787, 49789, 49801, 49807, 49811, 
49823, 49831, 49843, 49853, 49871, 49877, 49891, 49919, 49921, 49927, 49937, 
49939, 49943, 49957, 49991, 49993, 49999, 50021, 50023, 50033, 50047, 50051, 
50053, 50069, 50077, 50087, 50093, 50101, 50111, 50119, 50123, 50129, 50131, 
50147, 50153, 50159, 50177, 50207, 50221, 50227, 50231, 50261, 50263, 50273, 
50287, 50291, 50311, 50321, 50329, 50333, 50341, 50359, 50363, 50377, 50383, 
50387, 50411, 50417, 50423, 50441, 50459, 50461, 50497, 50503, 50513, 50527, 
50539, 50543, 50549, 50551, 50581, 50587, 50591, 50593, 50599, 50627, 50647, 
50651, 50671, 50683, 50707, 50723, 50741, 50753, 50767, 50773, 50777, 50789, 
50821, 50833, 50839, 50849, 50857, 50867, 50873, 50891, 50893, 50909, 50923, 
50929, 50951, 50957, 50969, 50971, 50989, 50993, 51001, 51031, 51043, 51047, 
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101681, 101693, 101701, 101719, 101723, 101737, 101741, 101747, 101749, 101771, 101789, 
101797, 101807, 101833, 101837, 101839, 101863, 101869, 101873, 101879, 101891, 101917, 
101921, 101929, 101939, 101957, 101963, 101977, 101987, 101999, 102001, 102013, 102019, 
102023, 102031, 102043, 102059, 102061, 102071, 102077, 102079, 102101, 102103, 102107, 
102121, 102139, 102149, 102161, 102181, 102191, 102197, 102199, 102203, 102217, 102229, 
102233, 102241, 102251, 102253, 102259, 102293, 102299, 102301, 102317, 102329, 102337, 
102359, 102367, 102397, 102407, 102409, 102433, 102437, 102451, 102461, 102481, 102497, 
102499, 102503, 102523, 102533, 102539, 102547, 102551, 102559, 102563, 102587, 102593, 
102607, 102611, 102643, 102647, 102653, 102667, 102673, 102677, 102679, 102701, 102761, 
102763, 102769, 102793, 102797, 102811, 102829, 102841, 102859, 102871, 102877, 102881, 
102911, 102913, 102929, 102931, 102953, 102967, 102983, 103001, 103007, 103043, 103049, 
103067, 103069, 103079, 103087, 103091, 103093, 103099, 103123, 103141, 103171, 103177, 
103183, 103217, 103231, 103237, 103289, 103291, 103307, 103319, 103333, 103349, 103357, 
103387, 103391, 103393, 103399, 103409, 103421, 103423, 103451, 103457, 103471, 103483, 
103511, 103529, 103549, 103553, 103561, 103567, 103573, 103577, 103583, 103591, 103613, 
103619, 103643, 103651, 103657, 103669, 103681, 103687, 103699, 103703, 103723, 103769, 
103787, 103801, 103811, 103813, 103837, 103841, 103843, 103867, 103889, 103903, 103913, 
103919, 103951, 103963, 103967, 103969, 103979, 103981, 103991, 103993, 103997, 104003, 
104009, 104021, 104033, 104047, 104053, 104059, 104087, 104089, 104107, 104113, 104119, 
104123, 104147, 104149, 104161, 104173, 104179, 104183, 104207, 104231, 104233, 104239, 
104243, 104281, 104287, 104297, 104309, 104311, 104323, 104327, 104347, 104369, 104381, 
104383, 104393, 104399, 104417, 104459, 104471, 104473, 104479, 104491, 104513, 104527, 
104537, 104543, 104549, 104551, 104561, 104579, 104593, 104597, 104623, 104639, 104651, 
104659, 104677, 104681, 104683, 104693, 104701, 104707, 104711, 104717, 104723, 104729, 

PASS
(test prime_generator :time 0.28 :before-memory 1465.83 :after-memory 1465.83)
PASS
(test permutation :time 0.00 :before-memory 1465.83 :after-memory 1465.83)
PASS
(test permutation :time 0.00 :before-memory 1465.83 :after-memory 1465.83)
1) {(-oo, ~p1, -1.4142135623?), (1.4142135623?, ~p1, oo)}
2) {(-oo, ~p1, -1.4142135623?), (1.4142135623?, ~p1, oo)}
------------------
s1:            {(-oo, p1, -17], [-15, p1, -14], [-13, p1, -12), [-10, p1, -8], [-6, p1, -3), [-2, p1, -1), (1, p1, 4], (5, p1, 7], [8, p1, 10]}
s2:            {(-15, p2, -14], [-13, p2, -12), (-12, p2, -10], (-9, p2, -8), (-7, p2, -6], (-5, p2, -4], [-3, p2, 0], (1, p2, 3], (5, p2, 7)}
union(s1, s2): {(-oo, p1, -17], [-15, p1, -14], [-13, p1, -12), (-12, p2, -10), [-10, p1, -8], (-7, p2, -6), [-6, p1, -3), [-3, p2, 0], (1, p1, 4], (5, p1, 7], [8, p1, 10]}
------------------
s1:            {(-oo, p1, -7), [-5, p1, -3), (-2, p1, 1), [2, p1, 2], (3, p1, 4), (5, p1, 6], (7, p1, 8), [9, p1, 10), (10, p1, oo)}
s2:            {(-12, p2, -11), (-9, p2, -8), (-7, p2, -6], (-4, p2, -3], [-2, p2, -1], [0, p2, 2), (3, p2, 4], (5, p2, 6), (7, p2, 9], [11, p2, 12), (12, p2, oo)}
union(s1, s2): {(-oo, p1, -7), (-7, p2, -6], [-5, p1, -4], (-4, p2, -3], [-2, p2, -2], (-2, p1, 0), [0, p2, 2), [2, p1, 2], (3, p2, 4], (5, p1, 6], (7, p2, 9), [9, p1, 10), (10, p1, oo)}
------------------
s1:            {(-9, p1, -8], [-7, p1, -4], (-3, p1, -2), (0, p1, 2), [4, p1, 6], [7, p1, 11], [12, p1, 14)}
s2:            {(-oo, p2, -13], [-11, p2, -11], [-9, p2, -7), (-5, p2, -4), [-2, p2, -1), (-1, p2, 1], [2, p2, 4), [6, p2, 7), (7, p2, 9), [10, p2, 12], (13, p2, oo)}
union(s1, s2): {(-oo, p2, -13], [-11, p2, -11], [-9, p2, -7), [-7, p1, -4], (-3, p1, -2), [-2, p2, -1), (-1, p2, 0], (0, p1, 2), [2, p2, 4), [4, p1, 6), [6, p2, 7), [7, p1, 10), [10, p2, 12), [12, p1, 13], (13, p2, oo)}
------------------
s1:            {[-12, p1, -10], (-9, p1, -8), [-6, p1, -4], (-2, p1, 0), (1, p1, 3], [5, p1, 8), (8, p1, 10), (12, p1, 13]}
s2:            {[-9, p2, -8), (-8, p2, -7], (-6, p2, -5], (-4, p2, -3), [-1, p2, 0), (0, p2, 6), (8, p2, 9]}
union(s1, s2): {[-12, p1, -10], [-9, p2, -8), (-8, p2, -7], [-6, p1, -4], (-4, p2, -3), (-2, p1, 0), (0, p2, 5), [5, p1, 8), (8, p1, 10), (12, p1, 13]}
------------------
s1:            {(-8, p1, -7), (-5, p1, -4), (-2, p1, 0), [1, p1, 3), (4, p1, 6), (6, p1, 9], [11, p1, 14]}
s2:            {(-16, p2, -15), (-14, p2, -12], [-10, p2, -10], [-8, p2, -6), (-4, p2, 1), (1, p2, 2), [3, p2, oo)}
union(s1, s2): {(-16, p2, -15), (-14, p2, -12], [-10, p2, -10], [-8, p2, -6), (-5, p1, -4), (-4, p2, 1), [1, p1, 3), [3, p2, oo)}
------------------
s1:            {(-9, p1, -6], [-5, p1, -3], (-2, p1, -1], (1, p1, 3), (4, p1, 6], [7, p1, 8], [9, p1, 10], [12, p1, 12]}
s2:            {(-oo, p2, -16), (-16, p2, -14], (-12, p2, -10), (-8, p2, -5], [-4, p2, 1), (3, p2, 5], [7, p2, 8)}
union(s1, s2): {(-oo, p2, -16), (-16, p2, -14], (-12, p2, -10), (-9, p1, -8], (-8, p2, -5), [-5, p1, -4), [-4, p2, 1), (1, p1, 3), (3, p2, 4], (4, p1, 6], [7, p1, 8], [9, p1, 10], [12, p1, 12]}
------------------
s1:            {(-oo, p1, -17], (-16, p1, -14), (-12, p1, -9], (-8, p1, -7), (-5, p1, -4), [-3, p1, -2], (-1, p1, 0]}
s2:            {(-oo, p2, -19), (-19, p2, -18), (-16, p2, -14), [-12, p2, -11), [-9, p2, -8), (-7, p2, -3]}
union(s1, s2): {(-oo, p1, -17], (-16, p1, -14), [-12, p2, -12], (-12, p1, -9), [-9, p2, -8), (-8, p1, -7), (-7, p2, -3), [-3, p1, -2], (-1, p1, 0]}
------------------
s1:            {(-17, p1, -16), [-14, p1, -12), [-11, p1, -9], (-8, p1, -3), [-2, p1, -1], (1, p1, 2], [3, p1, 4]}
s2:            {(-10, p2, -7), [-5, p2, -3], (-1, p2, 3], (4, p2, 7]}
union(s1, s2): {(-17, p1, -16), [-14, p1, -12), [-11, p1, -10], (-10, p2, -8], (-8, p1, -5), [-5, p2, -3], [-2, p1, -1], (-1, p2, 3), [3, p1, 4], (4, p2, 7]}
------------------
s1:            {[-17, p1, -16], (-14, p1, -12], (-10, p1, -9], [-7, p1, -6), (-6, p1, -5], [-3, p1, -2), (-1, p1, 0), (1, p1, 2), [4, p1, 4], (6, p1, 7)}
s2:            {(-12, p2, -11], (-10, p2, -9], [-7, p2, -6), (-5, p2, -4), (-4, p2, -3), (-3, p2, -2], [-1, p2, 0), [2, p2, 3), (4, p2, 6], [7, p2, oo)}
union(s1, s2): {[-17, p1, -16], (-14, p1, -12], (-12, p2, -11], (-10, p1, -9], [-7, p1, -6), (-6, p1, -5], (-5, p2, -4), (-4, p2, -3), [-3, p1, -3], (-3, p2, -2], [-1, p2, 0), (1, p1, 2), [2, p2, 3), [4, p1, 4], (4, p2, 6], (6, p1, 7), [7, p2, oo)}
------------------
s1:            {(-10, p1, -9), (-7, p1, -6), [-5, p1, -4), [-2, p1, -1), [1, p1, 2], (3, p1, 4), (5, p1, 6], (8, p1, 9), [11, p1, 13), (15, p1, 16), (16, p1, oo)}
s2:            {(-15, p2, -13], (-11, p2, -10), (-8, p2, -6), [-4, p2, -2), [-1, p2, 1], (3, p2, 4), (6, p2, 8), [9, p2, 9], [11, p2, oo)}
union(s1, s2): {(-15, p2, -13], (-11, p2, -10), (-10, p1, -9), (-8, p2, -6), [-5, p1, -4), [-4, p2, -2), [-2, p1, -1), [-1, p2, 1), [1, p1, 2], (3, p1, 4), (5, p1, 6], (6, p2, 8), (8, p1, 9), [9, p2, 9], [11, p2, oo)}
------------------
s1:            {[-14, p1, -12), (-11, p1, -9), (-9, p1, -6], [-4, p1, -2], [-1, p1, 5), [6, p1, 7]}
s2:            {[-14, p2, -12), (-10, p2, -9], [-7, p2, -5], (-3, p2, -2], (-1, p2, 3], (5, p2, 7], [8, p2, 10], (12, p2, 14), (15, p2, 17)}
union(s1, s2): {[-14, p1, -12), (-11, p1, -10], (-10, p2, -9], (-9, p1, -7), [-7, p2, -5], [-4, p1, -2], [-1, p1, 5), (5, p2, 7], [8, p2, 10], (12, p2, 14), (15, p2, 17)}
------------------
s1:            {[-10, p1, -8], [-6, p1, -3], [-2, p1, 0], (2, p1, 4), (5, p1, 6), (6, p1, 7], (8, p1, 9)}
s2:            {[-17, p2, -15], (-14, p2, -13), (-12, p2, -10], (-8, p2, -6), (-5, p2, -4], (-2, p2, 0], (2, p2, 4], (6, p2, 7], [9, p2, 10), (10, p2, 11)}
union(s1, s2): {[-17, p2, -15], (-14, p2, -13), (-12, p2, -10), [-10, p1, -8], (-8, p2, -6), [-6, p1, -3], [-2, p1, 0], (2, p2, 4], (5, p1, 6), (6, p1, 7], (8, p1, 9), [9, p2, 10), (10, p2, 11)}
------------------
s1:            {(-oo, p1, -15), [-14, p1, -12), [-11, p1, -11], [-9, p1, -6], (-5, p1, -3), (-1, p1, 1), [2, p1, 4), [5, p1, 7], (8, p1, 9)}
s2:            {[-9, p2, -8), (-6, p2, -5), (-3, p2, 0), (0, p2, 2], (4, p2, 6), (7, p2, 9), (11, p2, 12], (13, p2, 15)}
union(s1, s2): {(-oo, p1, -15), [-14, p1, -12), [-11, p1, -11], [-9, p1, -6], (-6, p2, -5), (-5, p1, -3), (-3, p2, -1], (-1, p1, 0], (0, p2, 2), [2, p1, 4), (4, p2, 5), [5, p1, 7], (7, p2, 9), (11, p2, 12], (13, p2, 15)}
------------------
s1:            {(-12, p1, -11), [-10, p1, -9), (-8, p1, -6], [-5, p1, -4), (-3, p1, -2], (-1, p1, 1), [3, p1, 4), [5, p1, 6], (8, p1, 9], [10, p1, oo)}
s2:            {(-10, p2, -7), (-5, p2, -1], (0, p2, 2), (3, p2, 5), (5, p2, 6)}
union(s1, s2): {(-12, p1, -11), [-10, p1, -10], (-10, p2, -8], (-8, p1, -6], [-5, p1, -5], (-5, p2, -1], (-1, p1, 0], (0, p2, 2), [3, p1, 3], (3, p2, 5), [5, p1, 6], (8, p1, 9], [10, p1, oo)}
------------------
s1:            {(-7, p1, -6], (-4, p1, -3], (-1, p1, 1], [2, p1, 4), [6, p1, 7), [8, p1, 9), [11, p1, 13), (13, p1, 14), [16, p1, 16]}
s2:            {(-oo, p2, -11], (-10, p2, -9), (-8, p2, -5), [-4, p2, -1), [0, p2, 2), (4, p2, 5), [7, p2, 8], (10, p2, 11]}
union(s1, s2): {(-oo, p2, -11], (-10, p2, -9), (-8, p2, -5), [-4, p2, -1), (-1, p1, 0), [0, p2, 2), [2, p1, 4), (4, p2, 5), [6, p1, 7), [7, p2, 8), [8, p1, 9), (10, p2, 11), [11, p1, 13), (13, p1, 14), [16, p1, 16]}
------------------
s1:            {(-oo, p1, -10), (-9, p1, -8), (-7, p1, -6], (-4, p1, -3), (-3, p1, -2), [0, p1, 1), (1, p1, 2), (3, p1, 4], (5, p1, 6)}
s2:            {[-18, p2, -17), (-15, p2, -14), (-12, p2, -9), [-7, p2, -6], (-5, p2, -3], [-1, p2, 0], (1, p2, 3), [4, p2, 5)}
union(s1, s2): {(-oo, p1, -12], (-12, p2, -9), (-9, p1, -8), [-7, p2, -6], (-5, p2, -3], (-3, p1, -2), [-1, p2, 0), [0, p1, 1), (1, p2, 3), (3, p1, 4), [4, p2, 5), (5, p1, 6)}
------------------
s1:            {[-15, p1, -14), [-13, p1, -11], (-9, p1, -7), (-7, p1, -6), [-4, p1, -2], [0, p1, 1], [2, p1, 3), [5, p1, 7]}
s2:            {[-12, p2, -10), (-9, p2, -6), [-5, p2, -4), (-3, p2, -2], (0, p2, 1], (3, p2, 4), [5, p2, 7)}
union(s1, s2): {[-15, p1, -14), [-13, p1, -12), [-12, p2, -10), (-9, p2, -6), [-5, p2, -4), [-4, p1, -2], [0, p1, 1], [2, p1, 3), (3, p2, 4), [5, p1, 7]}
------------------
s1:            {(-13, p1, -12], (-11, p1, -10), [-9, p1, -8), (-7, p1, -6), [-5, p1, -4], [-2, p1, -1), [1, p1, 3), [5, p1, 6], (7, p1, oo)}
s2:            {(-oo, p2, -14], (-13, p2, -12], [-10, p2, -7), (-6, p2, -5], (-4, p2, -3), (-3, p2, -2), [-1, p2, -1], [0, p2, 1), [2, p2, 3]}
union(s1, s2): {(-oo, p2, -14], (-13, p1, -12], (-11, p1, -10), [-10, p2, -7), (-7, p1, -6), (-6, p2, -5), [-5, p1, -4], (-4, p2, -3), (-3, p2, -2), [-2, p1, -1), [-1, p2, -1], [0, p2, 1), [1, p1, 2), [2, p2, 3], [5, p1, 6], (7, p1, oo)}
------------------
s1:            {(-oo, p1, -18], (-16, p1, -15], [-14, p1, -12], (-11, p1, -8), (-8, p1, -7], [-6, p1, -4), (-2, p1, -1], (0, p1, 1)}
s2:            {(-8, p2, -7), (-5, p2, -3], (-1, p2, 1), (3, p2, 4), (5, p2, 6), (7, p2, 8], [9, p2, 10), (10, p2, 12), (14, p2, 16)}
union(s1, s2): {(-oo, p1, -18], (-16, p1, -15], [-14, p1, -12], (-11, p1, -8), (-8, p1, -7], [-6, p1, -5], (-5, p2, -3], (-2, p1, -1], (-1, p2, 1), (3, p2, 4), (5, p2, 6), (7, p2, 8], [9, p2, 10), (10, p2, 12), (14, p2, 16)}
------------------
s1:            {(-13, p1, -11), [-10, p1, -8), (-6, p1, -3), [-1, p1, 0], (1, p1, 3], (5, p1, 6], [8, p1, 10)}
s2:            {(-oo, p2, -13), (-13, p2, -11), (-9, p2, -8), (-8, p2, -6], (-5, p2, -3), (-2, p2, 0], [1, p2, 2), (4, p2, oo)}
union(s1, s2): {(-oo, p2, -13), (-13, p1, -11), [-10, p1, -8), (-8, p2, -6], (-6, p1, -3), (-2, p2, 0], [1, p2, 1], (1, p1, 3], (4, p2, oo)}
------------------
s1:            {(-oo, p1, -18], [-16, p1, -14], (-12, p1, -11], (-9, p1, -7), [-5, p1, -4), (-3, p1, -1), [0, p1, 2), (2, p1, 5), [7, p1, 9], [11, p1, 13)}
s2:            {(-oo, p2, -10), (-9, p2, -8), (-8, p2, -6), (-6, p2, -5), [-3, p2, -2), (-1, p2, 1], [3, p2, 4), (4, p2, 6], [7, p2, 10]}
union(s1, s2): {(-oo, p2, -10), (-9, p1, -8], (-8, p2, -6), (-6, p2, -5), [-5, p1, -4), [-3, p2, -3], (-3, p1, -1), (-1, p2, 0), [0, p1, 2), (2, p1, 4], (4, p2, 6], [7, p2, 10], [11, p1, 13)}
------------------
s1:            {(-oo, p1, -15], (-14, p1, -13], (-11, p1, -10], (-9, p1, -8], [-6, p1, -4], (-3, p1, -1), (1, p1, 2), (3, p1, 4)}
s2:            {(-13, p2, -11], [-9, p2, -7], [-5, p2, -3], [-2, p2, -1), (1, p2, 2), [4, p2, 8]}
union(s1, s2): {(-oo, p1, -15], (-14, p1, -13], (-13, p2, -11], (-11, p1, -10], [-9, p2, -7], [-6, p1, -5), [-5, p2, -3], (-3, p1, -1), (1, p1, 2), (3, p1, 4), [4, p2, 8]}
------------------
s1:            {(-oo, p1, -8), [-6, p1, -5), [-4, p1, -3], [-1, p1, 4), (6, p1, 7], (8, p1, 10), (10, p1, 11)}
s2:            {(-18, p2, -16), (-14, p2, -12), [-10, p2, -8), (-7, p2, -6), [-4, p2, -1), [0, p2, 0], (1, p2, 2]}
union(s1, s2): {(-oo, p1, -8), (-7, p2, -6), [-6, p1, -5), [-4, p2, -1), [-1, p1, 4), (6, p1, 7], (8, p1, 10), (10, p1, 11)}
------------------
s1:            {(-9, p1, -7], (-5, p1, -2), (-1, p1, 0), (2, p1, 3], (4, p1, 6], [8, p1, 10), [12, p1, 14], [16, p1, 18), (18, p1, 19], (21, p1, oo)}
s2:            {(-13, p2, -12], [-10, p2, -10], (-8, p2, -6], (-4, p2, -3], [-2, p2, -2], [0, p2, 1), [3, p2, 6], [7, p2, 8)}
union(s1, s2): {(-13, p2, -12], [-10, p2, -10], (-9, p1, -8], (-8, p2, -6], (-5, p1, -2), [-2, p2, -2], (-1, p1, 0), [0, p2, 1), (2, p1, 3), [3, p2, 6], [7, p2, 8), [8, p1, 10), [12, p1, 14], [16, p1, 18), (18, p1, 19], (21, p1, oo)}
------------------
s1:            {[-13, p1, -11), [-10, p1, -8), (-7, p1, -5], [-3, p1, -2), (-1, p1, 0], (2, p1, 7], (9, p1, 11), [13, p1, 15]}
s2:            {(-oo, p2, -14), (-14, p2, -13], [-12, p2, -10), (-8, p2, -6], (-4, p2, -2], (0, p2, 1], [2, p2, 5], [6, p2, 7), [9, p2, oo)}
union(s1, s2): {(-oo, p2, -14), (-14, p2, -13), [-13, p1, -12), [-12, p2, -10), [-10, p1, -8), (-8, p2, -7], (-7, p1, -5], (-4, p2, -2], (-1, p1, 0], (0, p2, 1], [2, p2, 2], (2, p1, 7], [9, p2, oo)}
------------------
s1:            {(-oo, p1, -16), (-15, p1, -14], (-12, p1, -11), (-10, p1, -8], (-7, p1, -6], [-4, p1, -1), (1, p1, 2], [4, p1, 7), (9, p1, oo)}
s2:            {(-oo, p2, -11), (-10, p2, -7), (-5, p2, -3), [-2, p2, -1), (1, p2, 3), (3, p2, 6), [7, p2, oo)}
union(s1, s2): {(-oo, p2, -11), (-10, p2, -7), (-7, p1, -6], (-5, p2, -4), [-4, p1, -1), (1, p2, 3), (3, p2, 4), [4, p1, 7), [7, p2, oo)}
------------------
s1:            {[-15, p1, -14), [-13, p1, -10], [-9, p1, -8), (-7, p1, -6), [-5, p1, -4], (-2, p1, -1), (1, p1, 2), (4, p1, 5), (6, p1, 7]}
s2:            {[-12, p2, -11), (-10, p2, -9], [-8, p2, -5], [-3, p2, -2), [0, p2, 2], [4, p2, 6), [7, p2, 8), [9, p2, 11)}
union(s1, s2): {[-15, p1, -14), [-13, p1, -10], (-10, p2, -9), [-9, p1, -8), [-8, p2, -5), [-5, p1, -4], [-3, p2, -2), (-2, p1, -1), [0, p2, 2], [4, p2, 6), (6, p1, 7), [7, p2, 8), [9, p2, 11)}
------------------
s1:            {(-19, p1, -18), [-17, p1, -17], (-15, p1, -14], [-12, p1, -11), [-10, p1, -9), [-7, p1, -6), [-4, p1, -3), (-2, p1, -1], (0, p1, 2], [3, p1, 5]}
s2:            {[-17, p2, -16), (-16, p2, -15], [-14, p2, -13), [-12, p2, -10], (-8, p2, -7), [-6, p2, -6], [-5, p2, -3], [-1, p2, 0), (0, p2, 1)}
union(s1, s2): {(-19, p1, -18), [-17, p2, -16), (-16, p2, -15], (-15, p1, -14), [-14, p2, -13), [-12, p2, -10), [-10, p1, -9), (-8, p2, -7), [-7, p1, -6), [-6, p2, -6], [-5, p2, -3], (-2, p1, -1), [-1, p2, 0), (0, p1, 2], [3, p1, 5]}
------------------
s1:            {(-oo, p1, -6], [-5, p1, -4), [-2, p1, -1), [0, p1, 2], [3, p1, 4], [5, p1, 6]}
s2:            {[-9, p2, -8), (-8, p2, -7), (-7, p2, -3), (-2, p2, -1], [1, p2, 2), [4, p2, 5), [7, p2, 10)}
union(s1, s2): {(-oo, p1, -7], (-7, p2, -3), [-2, p1, -2], (-2, p2, -1], [0, p1, 2], [3, p1, 4), [4, p2, 5), [5, p1, 6], [7, p2, 10)}
------------------
s1:            {(-oo, p1, -10), [-8, p1, -7), [-5, p1, -4), (-3, p1, -2], [-1, p1, 0), (2, p1, 4), [5, p1, 6), (7, p1, 10), [11, p1, 13]}
s2:            {[-16, p2, -15), (-15, p2, -14], [-12, p2, -12], [-10, p2, -8), [-7, p2, -5), (-5, p2, -4), [-2, p2, 0), (2, p2, 3], [4, p2, oo)}
union(s1, s2): {(-oo, p1, -10), [-10, p2, -8), [-8, p1, -7), [-7, p2, -5), [-5, p1, -4), (-3, p1, -2), [-2, p2, 0), (2, p1, 4), [4, p2, oo)}
------------------
s1:            {(-oo, p1, -11], (-9, p1, -7], (-6, p1, -5], (-3, p1, -1], [0, p1, 1], (2, p1, 3), (4, p1, 6], [8, p1, 9], (10, p1, 11), (12, p1, 14)}
s2:            {(-9, p2, -8], (-7, p2, -4), (-3, p2, -2], (0, p2, 2], (4, p2, 5), (5, p2, 6), [7, p2, 8), (10, p2, 12], [13, p2, 14)}
union(s1, s2): {(-oo, p1, -11], (-9, p1, -7], (-7, p2, -4), (-3, p1, -1], [0, p1, 0], (0, p2, 2], (2, p1, 3), (4, p1, 6], [7, p2, 8), [8, p1, 9], (10, p2, 12], (12, p1, 14)}
------------------
s1:            {[-15, p1, -15], [-14, p1, -13), [-12, p1, -12], [-10, p1, -9], [-8, p1, -8], [-7, p1, -5], [-3, p1, -3], [-1, p1, -1], [0, p1, 1), (3, p1, 4)}
s2:            {(-oo, p2, -14], [-13, p2, -12), [-11, p2, -10), (-9, p2, -7], [-6, p2, -4], [-3, p2, -2), (-2, p2, 0], [1, p2, 5), (7, p2, 8), [9, p2, oo)}
union(s1, s2): {(-oo, p2, -14), [-14, p1, -13), [-13, p2, -12), [-12, p1, -12], [-11, p2, -10), [-10, p1, -9], (-9, p2, -7), [-7, p1, -6), [-6, p2, -4], [-3, p2, -2), (-2, p2, 0), [0, p1, 1), [1, p2, 5), (7, p2, 8), [9, p2, oo)}
------------------
s1:            {[-18, p1, -16], [-14, p1, -13), (-11, p1, -9), (-9, p1, -8), (-8, p1, -7), [-5, p1, -3], (-2, p1, 2), (2, p1, oo)}
s2:            {(-14, p2, -12), (-11, p2, -10), (-8, p2, -5), [-4, p2, -3), [-2, p2, -1), (-1, p2, 0), (2, p2, 3), [5, p2, 7), (9, p2, oo)}
union(s1, s2): {[-18, p1, -16], [-14, p1, -14], (-14, p2, -12), (-11, p1, -9), (-9, p1, -8), (-8, p2, -5), [-5, p1, -3], [-2, p2, -2], (-2, p1, 2), (2, p1, oo)}
------------------
s1:            {(-13, p1, -11], (-10, p1, -7), (-7, p1, -6), [-5, p1, -3), [-2, p1, 1), (3, p1, 4), (5, p1, 6], (8, p1, 9]}
s2:            {(-14, p2, -13), [-12, p2, -11), (-10, p2, -9], [-7, p2, -5), (-5, p2, -3), [-1, p2, 3], [4, p2, oo)}
union(s1, s2): {(-14, p2, -13), (-13, p1, -11], (-10, p1, -7), [-7, p2, -5), [-5, p1, -3), [-2, p1, -1), [-1, p2, 3], (3, p1, 4), [4, p2, oo)}
------------------
s1:            {(-oo, p1, -8], (-6, p1, -5), [-4, p1, -3), (-1, p1, 1], (2, p1, 3), [5, p1, 6), (8, p1, 9), [11, p1, 14), (15, p1, 16), [18, p1, 18]}
s2:            {(-oo, p2, -18), (-18, p2, -16), (-16, p2, -14), (-12, p2, -10), [-8, p2, -7), (-7, p2, -5), [-3, p2, -2), [0, p2, 1]}
union(s1, s2): {(-oo, p1, -8), [-8, p2, -7), (-7, p2, -5), [-4, p1, -3), [-3, p2, -2), (-1, p1, 1], (2, p1, 3), [5, p1, 6), (8, p1, 9), [11, p1, 14), (15, p1, 16), [18, p1, 18]}
------------------
s1:            {(-12, p1, -11), [-9, p1, -7], [-5, p1, -3), [-2, p1, -1), [1, p1, 2], [3, p1, 5), (5, p1, 7], (8, p1, 9), (11, p1, 12)}
s2:            {[-19, p2, -17), (-15, p2, -13], (-12, p2, -10), (-10, p2, -8), [-7, p2, -6), [-4, p2, -2], [0, p2, 1), [3, p2, 4)}
union(s1, s2): {[-19, p2, -17), (-15, p2, -13], (-12, p2, -10), (-10, p2, -9), [-9, p1, -7), [-7, p2, -6), [-5, p1, -4), [-4, p2, -2), [-2, p1, -1), [0, p2, 1), [1, p1, 2], [3, p1, 5), (5, p1, 7], (8, p1, 9), (11, p1, 12)}
------------------
s1:            {[-16, p1, -15), (-14, p1, -13), (-12, p1, -11), (-10, p1, -6), [-4, p1, -3), (-3, p1, 0), (1, p1, oo)}
s2:            {(-18, p2, -14), [-12, p2, -11), (-11, p2, -6], [-5, p2, -3), (-1, p2, 0], [1, p2, 2)}
union(s1, s2): {(-18, p2, -14), (-14, p1, -13), [-12, p2, -11), (-11, p2, -6], [-5, p2, -3), (-3, p1, -1], (-1, p2, 0], [1, p2, 1], (1, p1, oo)}
------------------
s1:            {(-oo, p1, -11), [-9, p1, -5), [-4, p1, -3), [-2, p1, -2], (0, p1, 2], [4, p1, 6), (6, p1, 9), [10, p1, 14]}
s2:            {[-10, p2, -9), [-8, p2, -8], (-6, p2, -5], [-4, p2, -2), [-1, p2, 0], (2, p2, 3), (5, p2, 7), (9, p2, 10)}
union(s1, s2): {(-oo, p1, -11), [-10, p2, -9), [-9, p1, -6], (-6, p2, -5], [-4, p2, -2), [-2, p1, -2], [-1, p2, 0], (0, p1, 2], (2, p2, 3), [4, p1, 5], (5, p2, 6], (6, p1, 9), (9, p2, 10), [10, p1, 14]}
------------------
s1:            {(-oo, p1, -7), (-7, p1, -3), (-1, p1, 0), (1, p1, 2), [4, p1, 6], (7, p1, 10), (12, p1, 14)}
s2:            {[-13, p2, -13], (-11, p2, -10), [-8, p2, -4), (-2, p2, 0], (1, p2, 3), [5, p2, 6], [7, p2, 7], (8, p2, 9]}
union(s1, s2): {(-oo, p1, -8), [-8, p2, -7], (-7, p1, -3), (-2, p2, 0], (1, p2, 3), [4, p1, 6], [7, p2, 7], (7, p1, 10), (12, p1, 14)}
------------------
s1:            {(-oo, p1, -19), [-18, p1, -17), (-17, p1, -15], (-13, p1, -10], (-9, p1, -8), [-7, p1, -5), [-3, p1, -2], [-1, p1, oo)}
s2:            {[-15, p2, -14), (-14, p2, -13), [-12, p2, -11), (-10, p2, -8), [-6, p2, -5], (-3, p2, -2), (0, p2, 2], [4, p2, 4], (6, p2, 8]}
union(s1, s2): {(-oo, p1, -19), [-18, p1, -17), (-17, p1, -15), [-15, p2, -14), (-14, p2, -13), (-13, p1, -10], (-10, p2, -8), [-7, p1, -6), [-6, p2, -5], [-3, p1, -2], [-1, p1, oo)}
------------------
s1:            {(-oo, p1, -14], [-12, p1, -12], [-11, p1, -11], (-10, p1, -8), (-7, p1, -6], (-4, p1, -3), [-1, p1, 1], [2, p1, 3]}
s2:            {[-13, p2, -12), [-10, p2, -7], (-6, p2, -4), (-3, p2, -1], (1, p2, 4), (6, p2, 7], (8, p2, 9), (11, p2, 12], [13, p2, oo)}
union(s1, s2): {(-oo, p1, -14], [-13, p2, -12), [-12, p1, -12], [-11, p1, -11], [-10, p2, -7], (-7, p1, -6], (-6, p2, -4), (-4, p1, -3), (-3, p2, -1), [-1, p1, 1], (1, p2, 4), (6, p2, 7], (8, p2, 9), (11, p2, 12], [13, p2, oo)}
------------------
s1:            {(-8, p1, -6), (-5, p1, -4), [-2, p1, -1), (0, p1, 1], [3, p1, 4), (6, p1, 8), (8, p1, 9), (10, p1, 11], (13, p1, 14], (16, p1, oo)}
s2:            {(-oo, p2, -5), (-3, p2, -2], [-1, p2, 0), [1, p2, 2), (2, p2, 4], [5, p2, 9), [10, p2, 11], [13, p2, 13], [14, p2, 14]}
union(s1, s2): {(-oo, p2, -5), (-5, p1, -4), (-3, p2, -2), [-2, p1, -1), [-1, p2, 0), (0, p1, 1), [1, p2, 2), (2, p2, 4], [5, p2, 9), [10, p2, 11], [13, p2, 13], (13, p1, 14], (16, p1, oo)}
------------------
s1:            {(-15, p1, -14), (-13, p1, -12], (-10, p1, -8), [-6, p1, -4), (-4, p1, -3), [-2, p1, -1), (0, p1, 1], [2, p1, 2], [4, p1, 6), (7, p1, 8]}
s2:            {(-14, p2, -13), [-11, p2, -10), (-10, p2, -8], (-7, p2, -5], (-3, p2, -1), (-1, p2, 0], (2, p2, 3], [4, p2, 6], (8, p2, oo)}
union(s1, s2): {(-15, p1, -14), (-14, p2, -13), (-13, p1, -12], [-11, p2, -10), (-10, p2, -8], (-7, p2, -6), [-6, p1, -4), (-4, p1, -3), (-3, p2, -1), (-1, p2, 0], (0, p1, 1], [2, p1, 2], (2, p2, 3], [4, p2, 6], (7, p1, 8], (8, p2, oo)}
------------------
s1:            {[-10, p1, -9), (-7, p1, -5], (-3, p1, -2], (0, p1, 1], (2, p1, 3], (4, p1, 5), [6, p1, 7), (9, p1, 10), (11, p1, oo)}
s2:            {(-oo, p2, -9], [-7, p2, -4), [-2, p2, -1), (0, p2, 1), (2, p2, 3), (5, p2, 6], [8, p2, 10], [12, p2, 13], (14, p2, 16], [17, p2, 19], [20, p2, oo)}
union(s1, s2): {(-oo, p2, -9], [-7, p2, -4), (-3, p1, -2), [-2, p2, -1), (0, p1, 1], (2, p1, 3], (4, p1, 5), (5, p2, 6), [6, p1, 7), [8, p2, 10], (11, p1, oo)}
------------------
s1:            {(-oo, p1, -11), (-9, p1, -7), (-5, p1, -4), (-3, p1, -1), (-1, p1, 0], (1, p1, 6], [7, p1, 9], (11, p1, 13]}
s2:            {(-oo, p2, -9), (-9, p2, -8), (-6, p2, -4), (-2, p2, 0), (2, p2, 3), (4, p2, 5), [6, p2, 9], (11, p2, 12), (12, p2, 14)}
union(s1, s2): {(-oo, p2, -9), (-9, p1, -7), (-6, p2, -4), (-3, p1, -2], (-2, p2, -1], (-1, p1, 0], (1, p1, 6), [6, p2, 9], (11, p1, 12], (12, p2, 14)}
------------------
s1:            {[-17, p1, -14), (-14, p1, -12), [-10, p1, -9], [-7, p1, -6), (-6, p1, -3), (-3, p1, -1], (0, p1, 2)}
s2:            {(-17, p2, -16], [-15, p2, -13), (-11, p2, -10], (-8, p2, -5), (-5, p2, -4), (-4, p2, -3), (-2, p2, -1], (1, p2, 3), (3, p2, 4]}
union(s1, s2): {[-17, p1, -15), [-15, p2, -14], (-14, p1, -12), (-11, p2, -10), [-10, p1, -9], (-8, p2, -6], (-6, p1, -3), (-3, p1, -1], (0, p1, 1], (1, p2, 3), (3, p2, 4]}
------------------
s1:            {(-oo, p1, -16], (-14, p1, -13], [-11, p1, -9), (-8, p1, -5), (-5, p1, -4), (-3, p1, -1], (1, p1, 5), [7, p1, 8]}
s2:            {(-13, p2, -11), (-10, p2, -6), (-6, p2, -5], (-4, p2, -2), (0, p2, 1], (3, p2, 5), [7, p2, 8), [9, p2, oo)}
union(s1, s2): {(-oo, p1, -16], (-14, p1, -13], (-13, p2, -11), [-11, p1, -10], (-10, p2, -8], (-8, p1, -6], (-6, p2, -5], (-5, p1, -4), (-4, p2, -3], (-3, p1, -1], (0, p2, 1], (1, p1, 5), [7, p1, 8], [9, p2, oo)}
------------------
s1:            {(-oo, p1, -10), (-10, p1, -9], [-8, p1, -7), (-7, p1, -6), (-6, p1, -4], (-2, p1, 2), [4, p1, 6], [7, p1, 8], (10, p1, oo)}
s2:            {[-17, p2, -15], [-13, p2, -13], (-12, p2, -10), (-9, p2, -8], [-6, p2, -5), (-3, p2, -2), (-2, p2, -1), (-1, p2, 2]}
union(s1, s2): {(-oo, p1, -10), (-10, p1, -9], (-9, p2, -8), [-8, p1, -7), (-7, p1, -6), [-6, p2, -6], (-6, p1, -4], (-3, p2, -2), (-2, p1, -1], (-1, p2, 2], [4, p1, 6], [7, p1, 8], (10, p1, oo)}
------------------
s1:            {[-10, p1, -8], [-7, p1, -5], (-3, p1, -1), (0, p1, 1], (3, p1, 5], [7, p1, 9], (10, p1, 11], [13, p1, 15), (16, p1, 17)}
s2:            {(-7, p2, -5), (-3, p2, -1), [1, p2, 3], (4, p2, 5), (6, p2, 9], (10, p2, 13), (15, p2, 17]}
union(s1, s2): {[-10, p1, -8], [-7, p1, -5], (-3, p1, -1), (0, p1, 1), [1, p2, 3], (3, p1, 5], (6, p2, 9], (10, p2, 13), [13, p1, 15), (15, p2, 17]}
------------------
s1:            {(-oo, p1, -17], (-15, p1, -11], (-9, p1, -8), (-6, p1, -5], [-4, p1, -3), (-3, p1, 0), (0, p1, 1), (3, p1, 5)}
s2:            {[-10, p2, -8], [-6, p2, -4), [-2, p2, 0], (2, p2, 3), (4, p2, 5), [7, p2, 8), (10, p2, 13], [14, p2, 15], [16, p2, oo)}
union(s1, s2): {(-oo, p1, -17], (-15, p1, -11], [-10, p2, -8], [-6, p2, -4), [-4, p1, -3), (-3, p1, -2), [-2, p2, 0], (0, p1, 1), (2, p2, 3), (3, p1, 5), [7, p2, 8), (10, p2, 13], [14, p2, 15], [16, p2, oo)}
------------------
s1:            {(-18, p1, -16), (-15, p1, -14), [-13, p1, -11), [-10, p1, -9), (-8, p1, -6), (-6, p1, -5], (-3, p1, -2], (-1, p1, 0), (1, p1, oo)}
s2:            {(-11, p2, -8), (-8, p2, -6], [-5, p2, -2], (-1, p2, 2), (4, p2, 6), (8, p2, 10]}
union(s1, s2): {(-18, p1, -16), (-15, p1, -14), [-13, p1, -11), (-11, p2, -8), (-8, p2, -6], (-6, p1, -5), [-5, p2, -2], (-1, p2, 1], (1, p1, oo)}
------------------
s1:            {[-10, p1, -8], [-7, p1, -6], [-4, p1, -3), (-3, p1, -1], [1, p1, 2), (4, p1, 7], (9, p1, 10], [12, p1, 14]}
s2:            {(-16, p2, -14), (-12, p2, -11), [-9, p2, -7], (-5, p2, 0), (1, p2, 2], [3, p2, 3], (4, p2, 6], (7, p2, 9)}
union(s1, s2): {(-16, p2, -14), (-12, p2, -11), [-10, p1, -9), [-9, p2, -7), [-7, p1, -6], (-5, p2, 0), [1, p1, 1], (1, p2, 2], [3, p2, 3], (4, p1, 7], (7, p2, 9), (9, p1, 10], [12, p1, 14]}
------------------
s1:            {[-8, p1, -7), (-7, p1, -5), (-3, p1, -1), (0, p1, 2), (2, p1, 3), [5, p1, 8), (8, p1, 9], (10, p1, 11]}
s2:            {(-oo, p2, -16), (-14, p2, -13], [-12, p2, -12], [-10, p2, -8], (-7, p2, -6], (-4, p2, -1), [1, p2, 4)}
union(s1, s2): {(-oo, p2, -16), (-14, p2, -13], [-12, p2, -12], [-10, p2, -8), [-8, p1, -7), (-7, p1, -5), (-4, p2, -1), (0, p1, 1), [1, p2, 4), [5, p1, 8), (8, p1, 9], (10, p1, 11]}
------------------
s1:            {[-12, p1, -10), (-10, p1, -8), (-6, p1, -5], [-3, p1, -3], (-2, p1, -1), (0, p1, 1], (2, p1, 3], [5, p1, 7], [8, p1, 10]}
s2:            {(-oo, p2, -13], (-12, p2, -11], (-9, p2, -8], (-6, p2, -2), (0, p2, 1], (2, p2, 3], [5, p2, 6]}
union(s1, s2): {(-oo, p2, -13], [-12, p1, -10), (-10, p1, -9], (-9, p2, -8], (-6, p2, -2), (-2, p1, -1), (0, p1, 1], (2, p1, 3], [5, p1, 7], [8, p1, 10]}
------------------
s1:            {[-18, p1, -17), [-15, p1, -13], [-12, p1, -11), (-10, p1, -9), (-8, p1, -7], [-5, p1, -4), (-3, p1, -2), [-1, p1, 0], [1, p1, 4)}
s2:            {(-14, p2, -11), [-9, p2, -8], (-7, p2, -6), [-5, p2, -5], [-3, p2, -3], [-1, p2, 1], [3, p2, 5]}
union(s1, s2): {[-18, p1, -17), [-15, p1, -14], (-14, p2, -11), (-10, p1, -9), [-9, p2, -8], (-8, p1, -7], (-7, p2, -6), [-5, p1, -4), [-3, p2, -3], (-3, p1, -2), [-1, p2, 1), [1, p1, 3), [3, p2, 5]}
------------------
s1:            {[-14, p1, -12), (-11, p1, -10), (-9, p1, -5), [-3, p1, -2), (-2, p1, oo)}
s2:            {(-11, p2, -9), (-7, p2, -4], [-2, p2, -1], [0, p2, 1], (3, p2, 4)}
union(s1, s2): {[-14, p1, -12), (-11, p2, -9), (-9, p1, -7], (-7, p2, -4], [-3, p1, -2), [-2, p2, -2], (-2, p1, oo)}
------------------
s1:            {(-oo, p1, -14), (-13, p1, -12), [-11, p1, -9], [-7, p1, -6], [-5, p1, -3), (-3, p1, -1), (-1, p1, 1), (2, p1, 3], (5, p1, oo)}
s2:            {[-16, p2, -15], [-14, p2, -13), [-12, p2, -11), (-10, p2, -9), (-9, p2, -4), [-3, p2, -3], [-1, p2, 1), (1, p2, oo)}
union(s1, s2): {(-oo, p1, -14), [-14, p2, -13), (-13, p1, -12), [-12, p2, -11), [-11, p1, -9], (-9, p2, -5), [-5, p1, -3), [-3, p2, -3], (-3, p1, -1), [-1, p2, 1), (1, p2, oo)}
------------------
s1:            {(-14, p1, -12), [-10, p1, -9], (-8, p1, -7), [-5, p1, -4), (-2, p1, 0), (0, p1, 2], (4, p1, 5), (7, p1, 8], (10, p1, 12], [14, p1, 16), (18, p1, oo)}
s2:            {[-17, p2, -17], [-16, p2, -15), [-14, p2, -11], (-9, p2, -8), (-8, p2, -6), (-4, p2, -3), (-3, p2, -2), (-1, p2, 1), (1, p2, oo)}
union(s1, s2): {[-17, p2, -17], [-16, p2, -15), [-14, p2, -11], [-10, p1, -9], (-9, p2, -8), (-8, p2, -6), [-5, p1, -4), (-4, p2, -3), (-3, p2, -2), (-2, p1, -1], (-1, p2, 0], (0, p1, 1], (1, p2, oo)}
------------------
s1:            {(-13, p1, -9), (-9, p1, -8], [-6, p1, -4], [-2, p1, 0), [1, p1, 2], [4, p1, oo)}
s2:            {(-14, p2, -13), (-13, p2, -12), (-10, p2, -8], (-7, p2, -5), (-3, p2, -2], [-1, p2, 0), (0, p2, 1), [3, p2, 4), (4, p2, 6)}
union(s1, s2): {(-14, p2, -13), (-13, p1, -10], (-10, p2, -8], (-7, p2, -6), [-6, p1, -4], (-3, p2, -2), [-2, p1, 0), (0, p2, 1), [1, p1, 2], [3, p2, 4), [4, p1, oo)}
------------------
s1:            {[-15, p1, -14], (-12, p1, -11], (-10, p1, -7), [-5, p1, -1), (0, p1, 4)}
s2:            {(-oo, p2, -8), (-7, p2, -4], [-3, p2, -2), (-1, p2, 0], [1, p2, 2), (4, p2, 7]}
union(s1, s2): {(-oo, p2, -10], (-10, p1, -7), (-7, p2, -5), [-5, p1, -1), (-1, p2, 0], (0, p1, 4), (4, p2, 7]}
------------------
s1:            {(-oo, p1, -9], [-7, p1, -3], (-2, p1, -1], (1, p1, 3), (5, p1, 6], (8, p1, 9], (10, p1, 11], [12, p1, 13), (15, p1, oo)}
s2:            {[-11, p2, -7), (-6, p2, -3], (-1, p2, 0], [1, p2, 5], [6, p2, 6], (7, p2, 8]}
union(s1, s2): {(-oo, p1, -11), [-11, p2, -7), [-7, p1, -3], (-2, p1, -1], (-1, p2, 0], [1, p2, 5], (5, p1, 6], (7, p2, 8], (8, p1, 9], (10, p1, 11], [12, p1, 13), (15, p1, oo)}
------------------
s1:            {(-18, p1, -17), [-15, p1, -14), [-12, p1, -9], [-8, p1, -6), [-4, p1, 0], (2, p1, 5], (7, p1, oo)}
s2:            {[-16, p2, -12), [-11, p2, -10], [-8, p2, -7], (-6, p2, -5], [-4, p2, -1), (1, p2, 2]}
union(s1, s2): {(-18, p1, -17), [-16, p2, -12), [-12, p1, -9], [-8, p1, -6), (-6, p2, -5], [-4, p1, 0], (1, p2, 2], (2, p1, 5], (7, p1, oo)}
------------------
s1:            {(-12, p1, -10], (-9, p1, -7), [-5, p1, -4), (-4, p1, -1), (-1, p1, 1], (2, p1, 3), [5, p1, 6), [7, p1, 9), (11, p1, 13), [14, p1, oo)}
s2:            {(-oo, p2, -15), (-13, p2, -11), (-9, p2, -8], (-7, p2, -4], (-3, p2, 0), (0, p2, 3], [5, p2, 6), (7, p2, oo)}
union(s1, s2): {(-oo, p2, -15), (-13, p2, -12], (-12, p1, -10], (-9, p1, -7), (-7, p2, -4], (-4, p1, -3], (-3, p2, -1], (-1, p1, 0], (0, p2, 3], [5, p1, 6), [7, p1, 7], (7, p2, oo)}
------------------
s1:            {(-oo, p1, -7), [-6, p1, -5], (-3, p1, -2], [0, p1, 1], (2, p1, 5], [7, p1, 10), [12, p1, 13]}
s2:            {[-15, p2, -15], (-14, p2, -12), [-11, p2, -9], (-7, p2, -6), (-6, p2, -4], [-2, p2, 0), [1, p2, 2), (3, p2, 4), [6, p2, 8), (8, p2, oo)}
union(s1, s2): {(-oo, p1, -7), (-7, p2, -6), [-6, p1, -6], (-6, p2, -4], (-3, p1, -2), [-2, p2, 0), [0, p1, 1), [1, p2, 2), (2, p1, 5], [6, p2, 7), [7, p1, 8], (8, p2, oo)}
------------------
s1:            {(-oo, p1, -19], [-18, p1, -17], (-15, p1, -14), (-14, p1, -8], [-6, p1, -6], [-4, p1, -3]}
s2:            {(-oo, p2, -11), (-9, p2, -7], (-6, p2, -4), [-3, p2, -1], [1, p2, 3), (3, p2, 5), (7, p2, 10), (10, p2, 11), (11, p2, oo)}
union(s1, s2): {(-oo, p2, -14], (-14, p1, -9], (-9, p2, -7], [-6, p1, -6], (-6, p2, -4), [-4, p1, -3), [-3, p2, -1], [1, p2, 3), (3, p2, 5), (7, p2, 10), (10, p2, 11), (11, p2, oo)}
------------------
s1:            {(-oo, p1, -11), [-9, p1, -8), (-8, p1, -6], (-5, p1, -4], (-3, p1, -2], (0, p1, 1), [3, p1, 5), [6, p1, 7), [8, p1, 8], (10, p1, 11), (13, p1, 15]}
s2:            {[-10, p2, -10], [-9, p2, -7), [-6, p2, -5], (-4, p2, -3), (-3, p2, -1), (0, p2, 2), (4, p2, 6], [7, p2, 10)}
union(s1, s2): {(-oo, p1, -11), [-10, p2, -10], [-9, p2, -8], (-8, p1, -6), [-6, p2, -5], (-5, p1, -4], (-4, p2, -3), (-3, p2, -1), (0, p2, 2), [3, p1, 4], (4, p2, 6), [6, p1, 7), [7, p2, 10), (10, p1, 11), (13, p1, 15]}
------------------
s1:            {(-oo, p1, -16), (-14, p1, -12), [-11, p1, -10), (-8, p1, -7], [-6, p1, -3), [-2, p1, 0), [1, p1, 3], [5, p1, 6]}
s2:            {(-18, p2, -16], (-15, p2, -14], [-12, p2, -11], (-9, p2, -8), (-6, p2, -4], [-3, p2, 1], [2, p2, 2], (4, p2, 5]}
union(s1, s2): {(-oo, p1, -18], (-18, p2, -16], (-15, p2, -14], (-14, p1, -12), [-12, p2, -11), [-11, p1, -10), (-9, p2, -8), (-8, p1, -7], [-6, p1, -3), [-3, p2, 1), [1, p1, 3], (4, p2, 5), [5, p1, 6]}
------------------
s1:            {[-12, p1, -10), [-9, p1, -8], (-7, p1, -5), [-4, p1, -3), (-1, p1, 0), (1, p1, 2], [4, p1, 6), (6, p1, oo)}
s2:            {(-oo, p2, -13], [-12, p2, -11], [-10, p2, -8), [-7, p2, -6), [-5, p2, -3], (-2, p2, -1), [1, p2, 3), [5, p2, 7]}
union(s1, s2): {(-oo, p2, -13], [-12, p1, -10), [-10, p2, -9), [-9, p1, -8], [-7, p2, -7], (-7, p1, -5), [-5, p2, -3], (-2, p2, -1), (-1, p1, 0), [1, p2, 3), [4, p1, 5), [5, p2, 6], (6, p1, oo)}
------------------
s1:            {[-11, p1, -11], [-9, p1, -8], (-6, p1, -5), [-4, p1, -2), (0, p1, 2], [4, p1, 4], (6, p1, 8), (9, p1, 12), (13, p1, 14]}
s2:            {[-17, p2, -17], [-15, p2, -14), (-12, p2, -11), (-11, p2, -9], (-8, p2, -7], (-5, p2, -4], [-2, p2, -1], (0, p2, 2], [3, p2, 5], (7, p2, 8)}
union(s1, s2): {[-17, p2, -17], [-15, p2, -14), (-12, p2, -11), [-11, p1, -11], (-11, p2, -9), [-9, p1, -8], (-8, p2, -7], (-6, p1, -5), (-5, p2, -4), [-4, p1, -2), [-2, p2, -1], (0, p1, 2], [3, p2, 5], (6, p1, 8), (9, p1, 12), (13, p1, 14]}
------------------
s1:            {[-15, p1, -12), [-11, p1, -10), (-8, p1, -7], (-5, p1, -4], (-2, p1, -1), (-1, p1, 0], (2, p1, 4), (6, p1, 8], (10, p1, 11]}
s2:            {(-oo, p2, -16), (-16, p2, -15), [-13, p2, -12], (-11, p2, -9), [-7, p2, -5), (-3, p2, -1], [0, p2, 1], (3, p2, 5), (6, p2, 7), (8, p2, 10], (11, p2, 12]}
union(s1, s2): {(-oo, p2, -16), (-16, p2, -15), [-15, p1, -13), [-13, p2, -12], [-11, p1, -11], (-11, p2, -9), (-8, p1, -7), [-7, p2, -5), (-5, p1, -4], (-3, p2, -1], (-1, p1, 0), [0, p2, 1], (2, p1, 3], (3, p2, 5), (6, p1, 8], (8, p2, 10], (10, p1, 11], (11, p2, 12]}
------------------
s1:            {(-oo, p1, -7), (-6, p1, -5], (-4, p1, -3], [-2, p1, 0], [1, p1, 3), (3, p1, 4), (4, p1, 7)}
s2:            {(-8, p2, -7], [-6, p2, -4), [-3, p2, -3], (-2, p2, 0], [1, p2, 4], [5, p2, 5], [6, p2, 8)}
union(s1, s2): {(-oo, p1, -8], (-8, p2, -7], [-6, p2, -4), (-4, p1, -3], [-2, p1, 0], [1, p2, 4], (4, p1, 6), [6, p2, 8)}
------------------
s1:            {[-18, p1, -18], [-17, p1, -14), (-14, p1, -12], [-11, p1, -10], [-9, p1, -8], [-6, p1, -4), [-2, p1, -2]}
s2:            {(-15, p2, -13], [-12, p2, -10], (-9, p2, -7), (-5, p2, -4), [-3, p2, 2], (4, p2, 5], (7, p2, 8), [10, p2, 11)}
union(s1, s2): {[-18, p1, -18], [-17, p1, -15], (-15, p2, -14], (-14, p1, -12), [-12, p2, -10], [-9, p1, -9], (-9, p2, -7), [-6, p1, -4), [-3, p2, 2], (4, p2, 5], (7, p2, 8), [10, p2, 11)}
------------------
s1:            {(-15, p1, -12), (-11, p1, -9), (-8, p1, -6], (-4, p1, -3), (-2, p1, 1], [2, p1, 3), [4, p1, oo)}
s2:            {(-9, p2, -8), (-7, p2, -6), (-4, p2, -3), (-2, p2, 0], [2, p2, 5), [6, p2, 8], [10, p2, 11], (12, p2, 13), [14, p2, 16]}
union(s1, s2): {(-15, p1, -12), (-11, p1, -9), (-9, p2, -8), (-8, p1, -6], (-4, p1, -3), (-2, p1, 1], [2, p2, 4), [4, p1, oo)}
------------------
s1:            {(-oo, p1, -7], [-5, p1, -3], [-2, p1, -1), (1, p1, 2), (3, p1, 6], (7, p1, 8), (9, p1, 12)}
s2:            {[-16, p2, -14), [-12, p2, -10), (-10, p2, -9), (-7, p2, -4), [-3, p2, -2], [-1, p2, 1], (3, p2, 4], [6, p2, oo)}
union(s1, s2): {(-oo, p1, -7], (-7, p2, -5), [-5, p1, -3), [-3, p2, -2), [-2, p1, -1), [-1, p2, 1], (1, p1, 2), (3, p1, 6), [6, p2, oo)}
------------------
s1:            {(-oo, p1, -17), (-17, p1, -15], [-13, p1, -13], [-12, p1, -11], (-10, p1, -6), [-4, p1, -3), (-2, p1, -1), [0, p1, 3)}
s2:            {[-17, p2, -15], (-14, p2, -11], (-9, p2, -7], [-6, p2, -6], (-4, p2, -3), (-3, p2, -1), [0, p2, 2), (2, p2, 3]}
union(s1, s2): {(-oo, p1, -17), [-17, p2, -15], (-14, p2, -11], (-10, p1, -6), [-6, p2, -6], [-4, p1, -3), (-3, p2, -1), [0, p1, 2], (2, p2, 3]}
------------------
s1:            {(-10, p1, -8], (-7, p1, -6), (-5, p1, -4), (-3, p1, -2], (-1, p1, 0), [2, p1, 4], [6, p1, 7], (9, p1, 10), (11, p1, oo)}
s2:            {(-12, p2, -11], [-10, p2, -10], [-8, p2, -5], (-4, p2, -3), [-1, p2, 0), [2, p2, 3], [5, p2, 5], [7, p2, 9], [11, p2, 12]}
union(s1, s2): {(-12, p2, -11], [-10, p2, -10], (-10, p1, -8), [-8, p2, -5], (-5, p1, -4), (-4, p2, -3), (-3, p1, -2], [-1, p2, 0), [2, p1, 4], [5, p2, 5], [6, p1, 7), [7, p2, 9], (9, p1, 10), [11, p2, 11], (11, p1, oo)}
------------------
s1:            {(-9, p1, -7], [-6, p1, -5), [-4, p1, -4], [-3, p1, -2), (-2, p1, -1), [0, p1, 2], [4, p1, 5), (5, p1, 6]}
s2:            {(-19, p2, -18], (-16, p2, -15), [-13, p2, -13], [-12, p2, -8], (-7, p2, -6], (-4, p2, -2), [-1, p2, -1], [1, p2, 2), (2, p2, 3]}
union(s1, s2): {(-19, p2, -18], (-16, p2, -15), [-13, p2, -13], [-12, p2, -9], (-9, p1, -7], (-7, p2, -6), [-6, p1, -5), [-4, p1, -4], (-4, p2, -2), (-2, p1, -1), [-1, p2, -1], [0, p1, 2], (2, p2, 3], [4, p1, 5), (5, p1, 6]}
------------------
s1:            {(-oo, p1, -14), [-13, p1, -12), (-10, p1, -9), (-9, p1, -7), (-7, p1, -6), [-4, p1, -2), [0, p1, 1), (3, p1, 7), (8, p1, 9], (10, p1, oo)}
s2:            {[-13, p2, -12], [-11, p2, -10), (-8, p2, -6), (-4, p2, -3), [-2, p2, -1), (-1, p2, 1), (2, p2, 3), [4, p2, 6), (7, p2, oo)}
union(s1, s2): {(-oo, p1, -14), [-13, p2, -12], [-11, p2, -10), (-10, p1, -9), (-9, p1, -8], (-8, p2, -6), [-4, p1, -2), [-2, p2, -1), (-1, p2, 1), (2, p2, 3), (3, p1, 7), (7, p2, oo)}
------------------
s1:            {[-16, p1, -15), (-15, p1, -13), (-11, p1, -9], (-8, p1, -6), (-5, p1, -2), [-1, p1, 1), (2, p1, 5], (7, p1, 8]}
s2:            {(-10, p2, -8), (-8, p2, -6), [-4, p2, -2], (-1, p2, 1], (2, p2, 4], (6, p2, 8], [9, p2, 9], [10, p2, 12), [13, p2, 15)}
union(s1, s2): {[-16, p1, -15), (-15, p1, -13), (-11, p1, -10], (-10, p2, -8), (-8, p1, -6), (-5, p1, -4), [-4, p2, -2], [-1, p1, -1], (-1, p2, 1], (2, p1, 5], (6, p2, 8], [9, p2, 9], [10, p2, 12), [13, p2, 15)}
------------------
s1:            {(-14, p1, -12], [-11, p1, -9], (-7, p1, -4], [-3, p1, -3], (-1, p1, 0), [2, p1, 5], (6, p1, 8]}
s2:            {(-10, p2, -7), [-5, p2, -4), [-3, p2, -2), [0, p2, 1), (1, p2, 7), (7, p2, 8]}
union(s1, s2): {(-14, p1, -12], [-11, p1, -10], (-10, p2, -7), (-7, p1, -4], [-3, p2, -2), (-1, p1, 0), [0, p2, 1), (1, p2, 6], (6, p1, 8]}
------------------
s1:            {(-oo, p1, -16], (-15, p1, -14), (-12, p1, -11], (-9, p1, -7], (-5, p1, -1], (1, p1, 2], (4, p1, 5), (5, p1, 6], (8, p1, 9], (10, p1, 11)}
s2:            {(-oo, p2, -18], [-16, p2, -14), (-13, p2, -9), (-7, p2, -5), [-4, p2, 0), (1, p2, 2), (4, p2, 5]}
union(s1, s2): {(-oo, p1, -16), [-16, p2, -14), (-13, p2, -9), (-9, p1, -7], (-7, p2, -5), (-5, p1, -4), [-4, p2, 0), (1, p1, 2], (4, p2, 5], (5, p1, 6], (8, p1, 9], (10, p1, 11)}
------------------
s1:            {[-13, p1, -11), [-10, p1, -9), [-7, p1, -2), (-1, p1, 1), [3, p1, 4), (5, p1, 6], [8, p1, 11]}
s2:            {[-12, p2, -10), [-8, p2, -6), (-4, p2, -3), [-2, p2, -1], (1, p2, 2], (4, p2, 6], [7, p2, 9), (10, p2, 14], (16, p2, 18], [20, p2, oo)}
union(s1, s2): {[-13, p1, -12), [-12, p2, -10), [-10, p1, -9), [-8, p2, -7), [-7, p1, -2), [-2, p2, -1], (-1, p1, 1), (1, p2, 2], [3, p1, 4), (4, p2, 6], [7, p2, 8), [8, p1, 10], (10, p2, 14], (16, p2, 18], [20, p2, oo)}
------------------
s1:            {[-14, p1, -12), (-11, p1, -10), (-8, p1, -6), (-4, p1, -2], [-1, p1, 1], (2, p1, 4), (5, p1, 7], [9, p1, 10), (12, p1, 16), (17, p1, oo)}
s2:            {(-7, p2, -6), [-4, p2, -2], (0, p2, 1], (2, p2, 4], [5, p2, 5], [6, p2, 8), (9, p2, 11], [13, p2, 14)}
union(s1, s2): {[-14, p1, -12), (-11, p1, -10), (-8, p1, -6), [-4, p2, -2], [-1, p1, 1], (2, p2, 4], [5, p2, 5], (5, p1, 6), [6, p2, 8), [9, p1, 9], (9, p2, 11], (12, p1, 16), (17, p1, oo)}
------------------
s1:            {(-14, p1, -12), (-12, p1, -10], (-9, p1, -8], (-6, p1, -5], [-3, p1, -2], (0, p1, 3], [5, p1, 6], (7, p1, 8], (10, p1, 12)}
s2:            {(-oo, p2, -18), (-17, p2, -16), (-15, p2, -13], [-12, p2, -7), [-6, p2, -4), (-2, p2, -1), (1, p2, 2], (4, p2, 6)}
union(s1, s2): {(-oo, p2, -18), (-17, p2, -16), (-15, p2, -14], (-14, p1, -12), [-12, p2, -7), [-6, p2, -4), [-3, p1, -2], (-2, p2, -1), (0, p1, 3], (4, p2, 5), [5, p1, 6], (7, p1, 8], (10, p1, 12)}
------------------
s1:            {(-8, p1, -6), [-4, p1, -3), [-2, p1, -2], (-1, p1, 1), [3, p1, 4), (4, p1, 5], [6, p1, 8], [9, p1, 10), [12, p1, 13), (13, p1, 15], [17, p1, oo)}
s2:            {(-oo, p2, -19), (-17, p2, -16], [-14, p2, -12], [-11, p2, -7), (-5, p2, -4], [-2, p2, -1], (0, p2, 1), [3, p2, 5), (6, p2, 7)}
union(s1, s2): {(-oo, p2, -19), (-17, p2, -16], [-14, p2, -12], [-11, p2, -8], (-8, p1, -6), (-5, p2, -4), [-4, p1, -3), [-2, p2, -1], (-1, p1, 1), [3, p2, 4], (4, p1, 5], [6, p1, 8], [9, p1, 10), [12, p1, 13), (13, p1, 15], [17, p1, oo)}
------------------
s1:            {(-17, p1, -16), [-14, p1, -13], (-12, p1, -10], [-9, p1, -7], [-5, p1, -3), (-3, p1, -2], [0, p1, 2], (4, p1, 6)}
s2:            {[-20, p2, -19], (-18, p2, -17], (-15, p2, -12], (-11, p2, -9], [-8, p2, -5), [-4, p2, -3)}
union(s1, s2): {[-20, p2, -19], (-18, p2, -17], (-17, p1, -16), (-15, p2, -12], (-12, p1, -11], (-11, p2, -9), [-9, p1, -8), [-8, p2, -5), [-5, p1, -3), (-3, p1, -2], [0, p1, 2], (4, p1, 6)}
------------------
s1:            {[-14, p1, -12), (-10, p1, -7], (-6, p1, -4), (-2, p1, -1], [0, p1, 3], (5, p1, 6], (8, p1, 10]}
s2:            {(-11, p2, -8), [-7, p2, 0), (1, p2, 3), (4, p2, 6], (8, p2, 9)}
union(s1, s2): {[-14, p1, -12), (-11, p2, -10], (-10, p1, -7), [-7, p2, 0), [0, p1, 3], (4, p2, 6], (8, p1, 10]}
------------------
s1:            {[-13, p1, -12), [-11, p1, -8], (-6, p1, -4), [-3, p1, 0], [2, p1, 4), (5, p1, 7], [9, p1, 9], (10, p1, 11)}
s2:            {(-15, p2, -14), (-14, p2, -12), [-11, p2, -10), (-9, p2, -8], (-6, p2, -3), (-3, p2, -2], (-1, p2, 0), [2, p2, 3]}
union(s1, s2): {(-15, p2, -14), (-14, p2, -12), [-11, p1, -8], (-6, p2, -3), [-3, p1, 0], [2, p1, 4), (5, p1, 7], [9, p1, 9], (10, p1, 11)}
------------------
s1:            {[-18, p1, -16), [-14, p1, -13), [-12, p1, -11), [-10, p1, -10], [-9, p1, -8), (-7, p1, -5), [-4, p1, -2]}
s2:            {(-oo, p2, -7], (-5, p2, -3], (-2, p2, -1], [0, p2, 2), (3, p2, 5], [7, p2, 8), (8, p2, 9), (9, p2, 12)}
union(s1, s2): {(-oo, p2, -7], (-7, p1, -5), (-5, p2, -4), [-4, p1, -2], (-2, p2, -1], [0, p2, 2), (3, p2, 5], [7, p2, 8), (8, p2, 9), (9, p2, 12)}
------------------
s1:            {(-11, p1, -10], (-8, p1, -6], (-4, p1, -3), (-3, p1, -1], [1, p1, 2), (2, p1, 4), [5, p1, 6], (7, p1, 8), (9, p1, 10)}
s2:            {(-oo, p2, -11], (-10, p2, -7), [-6, p2, -5), (-5, p2, -3], [-2, p2, 1), [2, p2, 4], (6, p2, 7], (9, p2, 12)}
union(s1, s2): {(-oo, p2, -11], (-11, p1, -10], (-10, p2, -8], (-8, p1, -6), [-6, p2, -5), (-5, p2, -3], (-3, p1, -2), [-2, p2, 1), [1, p1, 2), [2, p2, 4], [5, p1, 6], (6, p2, 7], (7, p1, 8), (9, p2, 12)}
------------------
s1:            {(-12, p1, -10), [-9, p1, -7], [-5, p1, -3), [-1, p1, 1], (3, p1, 7], [8, p1, 9], [11, p1, 13), (15, p1, 16]}
s2:            {[-13, p2, -12), [-10, p2, -9], [-7, p2, -6), [-5, p2, -5], [-3, p2, 0), (1, p2, 3], [5, p2, 5], [6, p2, 8)}
union(s1, s2): {[-13, p2, -12), (-12, p1, -10), [-10, p2, -9), [-9, p1, -7), [-7, p2, -6), [-5, p1, -3), [-3, p2, -1), [-1, p1, 1], (1, p2, 3], (3, p1, 6), [6, p2, 8), [8, p1, 9], [11, p1, 13), (15, p1, 16]}
------------------
s1:            {(-oo, p1, -10), (-9, p1, -8], [-6, p1, -4], [-2, p1, 2], (3, p1, 4], (5, p1, 8), (8, p1, 10)}
s2:            {(-9, p2, -8], (-6, p2, -4), (-2, p2, -1], [0, p2, 1), [3, p2, 5), [6, p2, 8], (10, p2, 11], (13, p2, 14), [15, p2, 16), (16, p2, 17)}
union(s1, s2): {(-oo, p1, -10), (-9, p1, -8], [-6, p1, -4], [-2, p1, 2], [3, p2, 5), (5, p1, 6), [6, p2, 8], (8, p1, 10), (10, p2, 11], (13, p2, 14), [15, p2, 16), (16, p2, 17)}
------------------
s1:            {(-15, p1, -14], [-12, p1, -11), (-11, p1, -9), (-7, p1, -5), [-4, p1, -1], (1, p1, 2], (4, p1, 5], [7, p1, 9], [11, p1, 12)}
s2:            {(-oo, p2, -16), [-15, p2, -13), [-12, p2, -10], (-9, p2, -8], (-6, p2, -5], (-4, p2, -1], [1, p2, 3), [5, p2, 7)}
union(s1, s2): {(-oo, p2, -16), [-15, p2, -13), [-12, p2, -11], (-11, p1, -9), (-9, p2, -8], (-7, p1, -6], (-6, p2, -5], [-4, p1, -1], [1, p2, 3), (4, p1, 5), [5, p2, 7), [7, p1, 9], [11, p1, 12)}
------------------
s1:            {(-8, p1, -6), (-4, p1, -2), (-1, p1, 2), [4, p1, 6], (7, p1, 10], (12, p1, 14], [15, p1, 15], [17, p1, 19], [21, p1, oo)}
s2:            {[-18, p2, -16), (-14, p2, -12), (-10, p2, -9], (-7, p2, -5], (-3, p2, -1), [1, p2, 2), (3, p2, 4), (6, p2, 9]}
union(s1, s2): {[-18, p2, -16), (-14, p2, -12), (-10, p2, -9], (-8, p1, -7], (-7, p2, -5], (-4, p1, -3], (-3, p2, -1), (-1, p1, 2), (3, p2, 4), [4, p1, 6], (6, p2, 7], (7, p1, 10], (12, p1, 14], [15, p1, 15], [17, p1, 19], [21, p1, oo)}
------------------
s1:            {(-oo, p1, -18), (-16, p1, -15), (-13, p1, -12), (-10, p1, -8), (-6, p1, -2], [0, p1, 0], (2, p1, 3), [5, p1, 7], (8, p1, 9), (11, p1, 12]}
s2:            {(-oo, p2, -13], (-12, p2, -9), (-9, p2, -7], [-6, p2, -5), [-3, p2, -2), [0, p2, 3), [4, p2, 6), (7, p2, 8], (9, p2, 10), [11, p2, oo)}
union(s1, s2): {(-oo, p2, -13], (-13, p1, -12), (-12, p2, -10], (-10, p1, -9], (-9, p2, -7], [-6, p2, -6], (-6, p1, -2], [0, p2, 3), [4, p2, 5), [5, p1, 7], (7, p2, 8], (8, p1, 9), (9, p2, 10), [11, p2, oo)}
------------------
s1:            {(-19, p1, -17), (-17, p1, -15], (-14, p1, -13), (-11, p1, -9], [-7, p1, -5), (-3, p1, 3]}
s2:            {[-18, p2, -17), (-17, p2, -14), (-13, p2, -12), (-12, p2, -10), (-10, p2, -8), (-6, p2, -5), [-4, p2, -2], [0, p2, 0]}
union(s1, s2): {(-19, p1, -17), (-17, p2, -14), (-14, p1, -13), (-13, p2, -12), (-12, p2, -11], (-11, p1, -10], (-10, p2, -8), [-7, p1, -5), [-4, p2, -3], (-3, p1, 3]}
------------------
s1:            {[-15, p1, -14], [-13, p1, -11), (-11, p1, -9], [-7, p1, -5], [-3, p1, -1], [1, p1, 3), (4, p1, 5), (5, p1, 7), (9, p1, oo)}
s2:            {[-15, p2, -14), [-13, p2, -11], [-9, p2, -6], [-4, p2, -3], (-1, p2, 0), (0, p2, 1], (3, p2, 5), (6, p2, oo)}
union(s1, s2): {[-15, p1, -14], [-13, p2, -11], (-11, p1, -9), [-9, p2, -7), [-7, p1, -5], [-4, p2, -3), [-3, p1, -1], (-1, p2, 0), (0, p2, 1), [1, p1, 3), (3, p2, 5), (5, p1, 6], (6, p2, oo)}
------------------
s1:            {(-9, p1, -8), (-7, p1, 0), [2, p1, 4), (5, p1, 6], (7, p1, 9), (9, p1, 11)}
s2:            {(-oo, p2, -14), (-14, p2, -12], (-10, p2, -8), (-6, p2, -4), (-4, p2, -1), (-1, p2, 1), [3, p2, 4), (6, p2, oo)}
union(s1, s2): {(-oo, p2, -14), (-14, p2, -12], (-10, p2, -8), (-7, p1, -1], (-1, p2, 1), [2, p1, 4), (5, p1, 6], (6, p2, oo)}
------------------
s1:            {(-oo, p1, -18], (-17, p1, -14), [-12, p1, -9), [-7, p1, -5], [-3, p1, -1), (1, p1, 2], (4, p1, oo)}
s2:            {[-12, p2, -6), (-4, p2, -2), [0, p2, 3], [5, p2, 7], [8, p2, 10], (11, p2, 12], (14, p2, oo)}
union(s1, s2): {(-oo, p1, -18], (-17, p1, -14), [-12, p2, -7), [-7, p1, -5], (-4, p2, -3), [-3, p1, -1), [0, p2, 3], (4, p1, oo)}
------------------
s1:            {(-oo, p1, -12), (-10, p1, -9), (-8, p1, -6], [-5, p1, -4), [-2, p1, 0], [1, p1, 2], (4, p1, 5), [7, p1, 7]}
s2:            {(-oo, p2, -16), (-14, p2, -13), [-11, p2, -7), (-5, p2, -4), (-3, p2, -2], (-1, p2, 0), (2, p2, 7), (9, p2, oo)}
union(s1, s2): {(-oo, p1, -12), [-11, p2, -8], (-8, p1, -6], [-5, p1, -4), (-3, p2, -2), [-2, p1, 0], [1, p1, 2], (2, p2, 7), [7, p1, 7], (9, p2, oo)}
------------------
s1:            {[76, p1, 80), (173, p1, 196), (293, p1, 311], (332, p1, 402], [469, p1, 553), [615, p1, 621), [682, p1, 693], (785, p1, 800], (845, p1, 871], [873, p1, 945), [1011, p1, 1040), (1047, p1, 1067), (1147, p1, 1184], [1190, p1, 1285], [1344, p1, 1414], (1499, p1, 1548), [1592, p1, 1599], (1642, p1, 1694), (1774, p1, 1816), (1826, p1, 1899)}
s2:            {(1, p2, 7), [23, p2, 37), [39, p2, 51), [81, p2, 98), (112, p2, 168], [256, p2, 291], [310, p2, 321), [355, p2, 440], [498, p2, 532), (563, p2, 577), (603, p2, 632), (726, p2, 775], (862, p2, 902), [952, p2, 1022], (1052, p2, 1093), (1159, p2, 1200], (1212, p2, 1229), (1259, p2, 1341], (1352, p2, 1367), (1439, p2, 1503)}
union(s1, s2): {(1, p2, 7), [23, p2, 37), [39, p2, 51), [76, p1, 80), [81, p2, 98), (112, p2, 168], (173, p1, 196), [256, p2, 291], (293, p1, 310), [310, p2, 321), (332, p1, 355), [355, p2, 440], [469, p1, 553), (563, p2, 577), (603, p2, 632), [682, p1, 693], (726, p2, 775], (785, p1, 800], (845, p1, 862], (862, p2, 873), [873, p1, 945), [952, p2, 1011), [1011, p1, 1040), (1047, p1, 1052], (1052, p2, 1093), (1147, p1, 1159], (1159, p2, 1190), [1190, p1, 1259], (1259, p2, 1341], [1344, p1, 1414], (1439, p2, 1499], (1499, p1, 1548), [1592, p1, 1599], (1642, p1, 1694), (1774, p1, 1816), (1826, p1, 1899)}
------------------
s1:            {(-oo, p1, 119), [184, p1, 219), [312, p1, 351), [407, p1, 437], (476, p1, 547], (598, p1, 602], [608, p1, 675), (732, p1, 809), (884, p1, 966], [971, p1, 988], [1039, p1, 1068), [1097, p1, 1145), (1158, p1, 1253], [1349, p1, 1447], [1479, p1, 1537], [1570, p1, 1638), [1680, p1, 1744], (1830, p1, 1867], [1885, p1, 1959], (1964, p1, 2058], (2093, p1, 2190], [2217, p1, oo)}
s2:            {(-oo, p2, 74], (115, p2, 186], [267, p2, 320), (336, p2, 343), [347, p2, 374), [423, p2, 487], [511, p2, 607), (650, p2, 727], [777, p2, 792), (854, p2, 878), [930, p2, 953], (1046, p2, 1091], [1126, p2, 1223), (1225, p2, 1286), [1350, p2, 1363], [1420, p2, 1484), (1551, p2, 1564), (1637, p2, 1689), [1768, p2, 1864), [1893, p2, 1908], [1939, p2, 2011], [2040, p2, oo)}
union(s1, s2): {(-oo, p1, 115], (115, p2, 184), [184, p1, 219), [267, p2, 312), [312, p1, 347), [347, p2, 374), [407, p1, 423), [423, p2, 476], (476, p1, 511), [511, p2, 607), [608, p1, 650], (650, p2, 727], (732, p1, 809), (854, p2, 878), (884, p1, 966], [971, p1, 988], [1039, p1, 1046], (1046, p2, 1091], [1097, p1, 1126), [1126, p2, 1158], (1158, p1, 1225], (1225, p2, 1286), [1349, p1, 1420), [1420, p2, 1479), [1479, p1, 1537], (1551, p2, 1564), [1570, p1, 1637], (1637, p2, 1680), [1680, p1, 1744], [1768, p2, 1830], (1830, p1, 1867], [1885, p1, 1939), [1939, p2, 1964], (1964, p1, 2040), [2040, p2, oo)}
------------------
s1:            {[165, p1, 182], [274, p1, 329], [357, p1, 367), [421, p1, 461), (535, p1, 619), (693, p1, 764), [790, p1, 795], [798, p1, 833), [850, p1, 934), (974, p1, 1019], [1028, p1, 1109], [1147, p1, 1188), [1266, p1, 1294), [1312, p1, 1379), (1392, p1, 1491), [1587, p1, 1614), (1635, p1, 1715], (1739, p1, 1792], (1884, p1, 1952], (1973, p1, 2059)}
s2:            {[112, p2, 198), (211, p2, 228], [252, p2, 343], [350, p2, 426), (432, p2, 470), (481, p2, 521], [608, p2, 631], [663, p2, 753), (803, p2, 857), [946, p2, 993], (1048, p2, 1065), (1086, p2, 1169], [1188, p2, 1232), [1240, p2, 1278), [1349, p2, 1356), [1412, p2, 1478), [1536, p2, 1579), [1600, p2, 1634), [1689, p2, 1727), [1813, p2, 1846]}
union(s1, s2): {[112, p2, 198), (211, p2, 228], [252, p2, 343], [350, p2, 421), [421, p1, 432], (432, p2, 470), (481, p2, 521], (535, p1, 608), [608, p2, 631], [663, p2, 693], (693, p1, 764), [790, p1, 795], [798, p1, 803], (803, p2, 850), [850, p1, 934), [946, p2, 974], (974, p1, 1019], [1028, p1, 1086], (1086, p2, 1147), [1147, p1, 1188), [1188, p2, 1232), [1240, p2, 1266), [1266, p1, 1294), [1312, p1, 1379), (1392, p1, 1491), [1536, p2, 1579), [1587, p1, 1600), [1600, p2, 1634), (1635, p1, 1689), [1689, p2, 1727), (1739, p1, 1792], [1813, p2, 1846], (1884, p1, 1952], (1973, p1, 2059)}
------------------
s1:            {[27, p1, 96), (126, p1, 151], [184, p1, 216], [219, p1, 245), (289, p1, 299), [338, p1, 410), [497, p1, 511], [591, p1, 627], (636, p1, 684], (707, p1, 784], [798, p1, 808), [827, p1, 900), (913, p1, 941], [981, p1, 993], (1004, p1, 1060], [1101, p1, 1182], [1196, p1, 1263], (1357, p1, 1395), [1398, p1, 1472), (1531, p1, 1603), (1686, p1, oo)}
s2:            {(-oo, p2, 205], [290, p2, 376], [383, p2, 433], [460, p2, 516], (529, p2, 556), (635, p2, 713], [773, p2, 775), (851, p2, 883), [940, p2, 948), [1011, p2, 1035], [1123, p2, 1161], (1233, p2, 1300), [1347, p2, 1438], (1464, p2, 1481), (1544, p2, 1554], [1637, p2, 1649), (1651, p2, 1730], (1780, p2, 1849], [1856, p2, 1915], (1982, p2, 2062], (2090, p2, 2094], (2125, p2, oo)}
union(s1, s2): {(-oo, p2, 184), [184, p1, 216], [219, p1, 245), (289, p1, 290), [290, p2, 338), [338, p1, 383), [383, p2, 433], [460, p2, 516], (529, p2, 556), [591, p1, 627], (635, p2, 707], (707, p1, 784], [798, p1, 808), [827, p1, 900), (913, p1, 940), [940, p2, 948), [981, p1, 993], (1004, p1, 1060], [1101, p1, 1182], [1196, p1, 1233], (1233, p2, 1300), [1347, p2, 1398), [1398, p1, 1464], (1464, p2, 1481), (1531, p1, 1603), [1637, p2, 1649), (1651, p2, 1686], (1686, p1, oo)}
------------------
s1:            {(139, p1, 148), (206, p1, 218), [279, p1, 368), [466, p1, 560], [572, p1, 592), (649, p1, 686), [717, p1, 800), [828, p1, 850), [948, p1, 987], [1004, p1, 1082], (1106, p1, 1191], (1208, p1, 1254), [1335, p1, 1406], (1433, p1, 1501), (1557, p1, 1614), [1661, p1, 1710], [1720, p1, 1802], [1835, p1, 1932], [1993, p1, 2033], (2100, p1, 2150), (2237, p1, oo)}
s2:            {[129, p2, 169), [175, p2, 220), [294, p2, 323), (383, p2, 406), [466, p2, 523], (551, p2, 629], (673, p2, 714), [764, p2, 841], [870, p2, 879], [923, p2, 1010), [1085, p2, 1125], [1211, p2, 1237), (1302, p2, 1370), (1416, p2, 1440], [1445, p2, 1467], [1531, p2, 1600], [1651, p2, 1707], [1755, p2, 1806], [1832, p2, 1866], [1889, p2, 1894]}
union(s1, s2): {[129, p2, 169), [175, p2, 220), [279, p1, 368), (383, p2, 406), [466, p1, 551], (551, p2, 629], (649, p1, 673], (673, p2, 714), [717, p1, 764), [764, p2, 828), [828, p1, 850), [870, p2, 879], [923, p2, 1004), [1004, p1, 1082], [1085, p2, 1106], (1106, p1, 1191], (1208, p1, 1254), (1302, p2, 1335), [1335, p1, 1406], (1416, p2, 1433], (1433, p1, 1501), [1531, p2, 1557], (1557, p1, 1614), [1651, p2, 1661), [1661, p1, 1710], [1720, p1, 1755), [1755, p2, 1806], [1832, p2, 1835), [1835, p1, 1932], [1993, p1, 2033], (2100, p1, 2150), (2237, p1, oo)}
------------------
s1:            {[-98, p1, -56], (-19, p1, 25), (115, p1, 138), [153, p1, 175), (217, p1, 223), (285, p1, 361], [432, p1, 521), [556, p1, 652), (731, p1, 815], [851, p1, 862], [873, p1, 907], [990, p1, 1051), (1113, p1, 1142), (1227, p1, 1268], [1316, p1, 1338], [1382, p1, 1445], (1520, p1, 1579), [1600, p1, 1624), [1693, p1, 1789), [1853, p1, 1947), (1998, p1, oo)}
s2:            {(-oo, p2, 147], [190, p2, 218], [280, p2, 307), [370, p2, 447], (520, p2, 614], (707, p2, 761], [852, p2, 862), (929, p2, 1004], [1060, p2, 1076), (1175, p2, 1326], (1411, p2, 1495), [1502, p2, 1524], (1528, p2, 1536), [1581, p2, 1625], [1722, p2, 1723), [1774, p2, 1799], [1812, p2, 1829), (1849, p2, 1943), [1989, p2, 2067], [2148, p2, 2217)}
union(s1, s2): {(-oo, p2, 147], [153, p1, 175), [190, p2, 217], (217, p1, 223), [280, p2, 285], (285, p1, 361], [370, p2, 432), [432, p1, 520], (520, p2, 556), [556, p1, 652), (707, p2, 731], (731, p1, 815], [851, p1, 862], [873, p1, 907], (929, p2, 990), [990, p1, 1051), [1060, p2, 1076), (1113, p1, 1142), (1175, p2, 1316), [1316, p1, 1338], [1382, p1, 1411], (1411, p2, 1495), [1502, p2, 1520], (1520, p1, 1579), [1581, p2, 1625], [1693, p1, 1774), [1774, p2, 1799], [1812, p2, 1829), (1849, p2, 1853), [1853, p1, 1947), [1989, p2, 1998], (1998, p1, oo)}
------------------
s1:            {(-oo, p1, 47], [67, p1, 126], (191, p1, 233), [313, p1, 318], [324, p1, 338), (390, p1, 473), [563, p1, 643], [678, p1, 724), (783, p1, 862), [883, p1, 942), (981, p1, 1076], (1159, p1, 1203], (1294, p1, 1352], [1446, p1, 1521), [1537, p1, 1578], (1663, p1, 1735], (1766, p1, 1781), [1824, p1, 1853], [1913, p1, 2011], (2094, p1, 2168)}
s2:            {(-oo, p2, -91), (-60, p2, -5), (86, p2, 113], (194, p2, 197], [234, p2, 287], [385, p2, 432], [506, p2, 596), [666, p2, 715], (729, p2, 794), [825, p2, 896], (968, p2, 972], [1046, p2, 1071], (1073, p2, 1141], [1177, p2, 1258), [1272, p2, 1340], [1382, p2, 1427), (1514, p2, 1612), [1693, p2, 1790], (1882, p2, 1895), [1934, p2, 1953), (2014, p2, 2066]}
union(s1, s2): {(-oo, p1, 47], [67, p1, 126], (191, p1, 233), [234, p2, 287], [313, p1, 318], [324, p1, 338), [385, p2, 390], (390, p1, 473), [506, p2, 563), [563, p1, 643], [666, p2, 678), [678, p1, 724), (729, p2, 783], (783, p1, 825), [825, p2, 883), [883, p1, 942), (968, p2, 972], (981, p1, 1073], (1073, p2, 1141], (1159, p1, 1177), [1177, p2, 1258), [1272, p2, 1294], (1294, p1, 1352], [1382, p2, 1427), [1446, p1, 1514], (1514, p2, 1612), (1663, p1, 1693), [1693, p2, 1790], [1824, p1, 1853], (1882, p2, 1895), [1913, p1, 2011], (2014, p2, 2066], (2094, p1, 2168)}
------------------
s1:            {(-oo, p1, 257), (323, p1, 359), [450, p1, 463], (499, p1, 507], [537, p1, 592], (598, p1, 617), (639, p1, 722], [732, p1, 770], [851, p1, 938], [969, p1, 1012], [1049, p1, 1126), [1189, p1, 1241), [1243, p1, 1322), (1412, p1, 1453), (1490, p1, 1554], (1555, p1, 1649], (1731, p1, 1799], (1835, p1, 1914], (1926, p1, 1974), [2026, p1, 2058), [2146, p1, 2237)}
s2:            {(128, p2, 209), (232, p2, 278), [344, p2, 419), (503, p2, 543], (627, p2, 642), [683, p2, 782), (869, p2, 905], [985, p2, 1042], [1094, p2, 1168), (1233, p2, 1253), [1275, p2, 1289], (1366, p2, 1399), (1422, p2, 1445], [1495, p2, 1554), [1556, p2, 1628], [1653, p2, 1744), (1799, p2, 1819], [1834, p2, 1889], (1974, p2, 1994)}
union(s1, s2): {(-oo, p1, 232], (232, p2, 278), (323, p1, 344), [344, p2, 419), [450, p1, 463], (499, p1, 503], (503, p2, 537), [537, p1, 592], (598, p1, 617), (627, p2, 639], (639, p1, 683), [683, p2, 782), [851, p1, 938], [969, p1, 985), [985, p2, 1042], [1049, p1, 1094), [1094, p2, 1168), [1189, p1, 1233], (1233, p2, 1243), [1243, p1, 1322), (1366, p2, 1399), (1412, p1, 1453), (1490, p1, 1554], (1555, p1, 1649], [1653, p2, 1731], (1731, p1, 1799], (1799, p2, 1819], [1834, p2, 1835], (1835, p1, 1914], (1926, p1, 1974), (1974, p2, 1994), [2026, p1, 2058), [2146, p1, 2237)}
------------------
s1:            {(-oo, p1, -8], (1, p1, 99], [188, p1, 254), [288, p1, 367), (431, p1, 483], (489, p1, 503], (538, p1, 606], [609, p1, 620), (644, p1, 677), [729, p1, 772), [834, p1, 898), (986, p1, 993], (1000, p1, 1088), (1145, p1, 1217), (1279, p1, 1322), (1364, p1, 1421), (1490, p1, 1545), (1626, p1, 1700], (1764, p1, 1854), (1912, p1, 1981), (2006, p1, 2032], [2108, p1, oo)}
s2:            {[194, p2, 218), (279, p2, 367], (450, p2, 485], [523, p2, 555), [567, p2, 646], [739, p2, 762], [849, p2, 896], [928, p2, 928], [973, p2, 1027), (1057, p2, 1058), (1068, p2, 1069], [1101, p2, 1170), [1184, p2, 1224], (1293, p2, 1366], (1432, p2, 1443], [1486, p2, 1524], [1557, p2, 1608], (1644, p2, 1711], (1746, p2, 1771], [1797, p2, 1885), (1917, p2, oo)}
union(s1, s2): {(-oo, p1, -8], (1, p1, 99], [188, p1, 254), (279, p2, 367], (431, p1, 450], (450, p2, 485], (489, p1, 503], [523, p2, 538], (538, p1, 567), [567, p2, 644], (644, p1, 677), [729, p1, 772), [834, p1, 898), [928, p2, 928], [973, p2, 1000], (1000, p1, 1088), [1101, p2, 1145], (1145, p1, 1184), [1184, p2, 1224], (1279, p1, 1293], (1293, p2, 1364], (1364, p1, 1421), (1432, p2, 1443], [1486, p2, 1490], (1490, p1, 1545), [1557, p2, 1608], (1626, p1, 1644], (1644, p2, 1711], (1746, p2, 1764], (1764, p1, 1797), [1797, p2, 1885), (1912, p1, 1917], (1917, p2, oo)}
------------------
s1:            {[59, p1, 74], [162, p1, 188), (223, p1, 272), [320, p1, 418], (450, p1, 513], (550, p1, 633), [700, p1, 741], (815, p1, 880], [894, p1, 904), [982, p1, 1006], [1085, p1, 1159], [1185, p1, 1224), (1227, p1, 1250), [1294, p1, 1342), [1371, p1, 1425], (1478, p1, 1554), (1575, p1, 1642], [1713, p1, 1777), [1779, p1, 1796], (1832, p1, oo)}
s2:            {(-oo, p2, 64], (152, p2, 241], [285, p2, 379], (468, p2, 560), (633, p2, 710), [751, p2, 785), [836, p2, 883], [982, p2, 1048], (1142, p2, 1151), [1194, p2, 1226), [1270, p2, 1344), (1356, p2, 1451), [1530, p2, 1544], (1553, p2, 1588], [1676, p2, 1736), (1819, p2, 1851], (1858, p2, 1866), (1939, p2, 2020), (2032, p2, 2114), (2127, p2, 2205), (2257, p2, 2321]}
union(s1, s2): {(-oo, p2, 59), [59, p1, 74], (152, p2, 223], (223, p1, 272), [285, p2, 320), [320, p1, 418], (450, p1, 468], (468, p2, 550], (550, p1, 633), (633, p2, 700), [700, p1, 741], [751, p2, 785), (815, p1, 836), [836, p2, 883], [894, p1, 904), [982, p2, 1048], [1085, p1, 1159], [1185, p1, 1194), [1194, p2, 1226), (1227, p1, 1250), [1270, p2, 1344), (1356, p2, 1451), (1478, p1, 1553], (1553, p2, 1575], (1575, p1, 1642], [1676, p2, 1713), [1713, p1, 1777), [1779, p1, 1796], (1819, p2, 1832], (1832, p1, oo)}
------------------
s1:            {(-173, p1, -143), (-112, p1, -30], (-6, p1, -4], (11, p1, 58], (148, p1, 157), [176, p1, 187], (226, p1, 293], (382, p1, 429), [473, p1, 500), (577, p1, 670], [685, p1, 780], (783, p1, 871), [941, p1, 983), (1051, p1, 1137), (1137, p1, 1149), [1223, p1, 1295], (1362, p1, 1372], (1399, p1, 1477), (1540, p1, 1619), [1664, p1, 1721), (1812, p1, oo)}
s2:            {(-11, p2, 48], [136, p2, 149], [170, p2, 242], [322, p2, 419), (515, p2, 539], (632, p2, 697], (765, p2, 859], [948, p2, 961], [1029, p2, 1051), (1121, p2, 1189], [1199, p2, 1203), (1294, p2, 1367], (1463, p2, 1541), (1626, p2, 1711), [1746, p2, 1784], (1823, p2, 1863], [1874, p2, 1963), (1977, p2, 2016), [2094, p2, 2107], [2145, p2, 2173)}
union(s1, s2): {(-173, p1, -143), (-112, p1, -30], (-11, p2, 11], (11, p1, 58], [136, p2, 148], (148, p1, 157), [170, p2, 226], (226, p1, 293], [322, p2, 382], (382, p1, 429), [473, p1, 500), (515, p2, 539], (577, p1, 632], (632, p2, 685), [685, p1, 765], (765, p2, 783], (783, p1, 871), [941, p1, 983), [1029, p2, 1051), (1051, p1, 1121], (1121, p2, 1189], [1199, p2, 1203), [1223, p1, 1294], (1294, p2, 1362], (1362, p1, 1372], (1399, p1, 1463], (1463, p2, 1540], (1540, p1, 1619), (1626, p2, 1664), [1664, p1, 1721), [1746, p2, 1784], (1812, p1, oo)}
------------------
s1:            {[-67, p1, 16], [97, p1, 131], [221, p1, 282), (335, p1, 339), (402, p1, 423), [477, p1, 541], [565, p1, 659], [693, p1, 779], [854, p1, 914], [927, p1, 1022), (1041, p1, 1125], (1168, p1, 1201], (1247, p1, 1281), [1363, p1, 1434], (1481, p1, 1526), [1540, p1, 1630), (1711, p1, 1778), [1849, p1, 1869), (1956, p1, 1971), [1993, p1, 2077]}
s2:            {(205, p2, 253), [267, p2, 329), (379, p2, 404], (437, p2, 529), (599, p2, 657), (742, p2, 835), [913, p2, 961], [978, p2, 1032), [1047, p2, 1110), (1186, p2, 1260], (1278, p2, 1302), (1334, p2, 1406], (1454, p2, 1517), (1555, p2, 1605), (1664, p2, 1738), (1787, p2, 1822], (1905, p2, 1969), [1972, p2, 2038), (2068, p2, 2090], (2121, p2, 2141), [2175, p2, oo)}
union(s1, s2): {[-67, p1, 16], [97, p1, 131], (205, p2, 221), [221, p1, 267), [267, p2, 329), (335, p1, 339), (379, p2, 402], (402, p1, 423), (437, p2, 477), [477, p1, 541], [565, p1, 659], [693, p1, 742], (742, p2, 835), [854, p1, 913), [913, p2, 927), [927, p1, 978), [978, p2, 1032), (1041, p1, 1125], (1168, p1, 1186], (1186, p2, 1247], (1247, p1, 1278], (1278, p2, 1302), (1334, p2, 1363), [1363, p1, 1434], (1454, p2, 1481], (1481, p1, 1526), [1540, p1, 1630), (1664, p2, 1711], (1711, p1, 1778), (1787, p2, 1822], [1849, p1, 1869), (1905, p2, 1956], (1956, p1, 1971), [1972, p2, 1993), [1993, p1, 2068], (2068, p2, 2090], (2121, p2, 2141), [2175, p2, oo)}
------------------
s1:            {[12, p1, 54], (61, p1, 106), [179, p1, 232), (274, p1, 355], [442, p1, 514), [538, p1, 614), [695, p1, 730), (740, p1, 797), [817, p1, 895], [907, p1, 913), (976, p1, 1017], (1067, p1, 1155), (1155, p1, 1164], (1254, p1, 1276), (1314, p1, 1395], (1415, p1, 1442], (1494, p1, 1560], [1572, p1, 1595], (1672, p1, 1684), (1711, p1, 1777]}
s2:            {(-oo, p2, -40], (-31, p2, -6), [28, p2, 101], [132, p2, 218), [301, p2, 309), (391, p2, 392), [449, p2, 528), [608, p2, 668), [693, p2, 755), (793, p2, 852), [878, p2, 966), [1062, p2, 1152], (1200, p2, 1261], [1359, p2, 1404), [1453, p2, 1550], [1602, p2, 1700), [1711, p2, 1739), (1775, p2, 1781], [1844, p2, 1892), [1967, p2, 2047), (2077, p2, 2079)}
union(s1, s2): {(-oo, p2, -40], (-31, p2, -6), [12, p1, 28), [28, p2, 61], (61, p1, 106), [132, p2, 179), [179, p1, 232), (274, p1, 355], (391, p2, 392), [442, p1, 449), [449, p2, 528), [538, p1, 608), [608, p2, 668), [693, p2, 740], (740, p1, 793], (793, p2, 817), [817, p1, 878), [878, p2, 966), (976, p1, 1017], [1062, p2, 1067], (1067, p1, 1155), (1155, p1, 1164], (1200, p2, 1254], (1254, p1, 1276), (1314, p1, 1359), [1359, p2, 1404), (1415, p1, 1442], [1453, p2, 1494], (1494, p1, 1560], [1572, p1, 1595], [1602, p2, 1700), [1711, p2, 1711], (1711, p1, 1775], (1775, p2, 1781], [1844, p2, 1892), [1967, p2, 2047), (2077, p2, 2079)}
------------------
s1:            {[185, p1, 283), (300, p1, 336], (415, p1, 456], [535, p1, 594), [675, p1, 710], (764, p1, 818], [827, p1, 830), [851, p1, 942], [943, p1, 977], (1010, p1, 1090], (1110, p1, 1126), (1173, p1, 1229], (1286, p1, 1291), [1334, p1, 1342], [1344, p1, 1401), [1408, p1, 1443], (1521, p1, 1582), [1632, p1, 1691), [1763, p1, 1774), [1788, p1, 1793], [1811, p1, oo)}
s2:            {(157, p2, 220), (248, p2, 273], [341, p2, 358), [383, p2, 456], (465, p2, 512), (531, p2, 628), (709, p2, 723], (816, p2, 869], (871, p2, 876], [934, p2, 959), [1006, p2, 1099], [1187, p2, 1239], [1269, p2, 1336], (1375, p2, 1393), [1410, p2, 1488], (1586, p2, 1588], [1626, p2, 1692), [1697, p2, 1730], [1813, p2, 1878), (1968, p2, 2025], (2075, p2, oo)}
union(s1, s2): {(157, p2, 185), [185, p1, 283), (300, p1, 336], [341, p2, 358), [383, p2, 456], (465, p2, 512), (531, p2, 628), [675, p1, 709], (709, p2, 723], (764, p1, 816], (816, p2, 851), [851, p1, 934), [934, p2, 943), [943, p1, 977], [1006, p2, 1099], (1110, p1, 1126), (1173, p1, 1187), [1187, p2, 1239], [1269, p2, 1334), [1334, p1, 1342], [1344, p1, 1401), [1408, p1, 1410), [1410, p2, 1488], (1521, p1, 1582), (1586, p2, 1588], [1626, p2, 1692), [1697, p2, 1730], [1763, p1, 1774), [1788, p1, 1793], [1811, p1, oo)}
------------------
s1:            {(-oo, p1, -107), [-103, p1, -60], (-17, p1, 60), (105, p1, 182), [228, p1, 265), (320, p1, 377], (414, p1, 427], (490, p1, 505], [562, p1, 569], (622, p1, 704), [758, p1, 845], [915, p1, 987], [1027, p1, 1059], (1082, p1, 1085), [1119, p1, 1138), [1214, p1, 1264), [1313, p1, 1361], (1443, p1, 1465), (1558, p1, 1617], (1650, p1, 1652], (1697, p1, 1713)}
s2:            {(-oo, p2, 102), [150, p2, 171), (200, p2, 274), (327, p2, 356), (364, p2, 419], (461, p2, 550], [593, p2, 617), [709, p2, 802], (815, p2, 874), [956, p2, 981], (1008, p2, 1088), (1135, p2, 1208), (1223, p2, 1250), [1272, p2, 1335], (1399, p2, 1422), [1427, p2, 1451), [1542, p2, 1613), (1632, p2, 1715), (1755, p2, 1800), (1896, p2, 1984], (1999, p2, 2081]}
union(s1, s2): {(-oo, p2, 102), (105, p1, 182), (200, p2, 274), (320, p1, 364], (364, p2, 414], (414, p1, 427], (461, p2, 550], [562, p1, 569], [593, p2, 617), (622, p1, 704), [709, p2, 758), [758, p1, 815], (815, p2, 874), [915, p1, 987], (1008, p2, 1088), [1119, p1, 1135], (1135, p2, 1208), [1214, p1, 1264), [1272, p2, 1313), [1313, p1, 1361], (1399, p2, 1422), [1427, p2, 1443], (1443, p1, 1465), [1542, p2, 1558], (1558, p1, 1617], (1632, p2, 1715), (1755, p2, 1800), (1896, p2, 1984], (1999, p2, 2081]}
------------------
s1:            {(-oo, p1, -82), [-22, p1, -14), (24, p1, 42], (122, p1, 180), (246, p1, 260), [336, p1, 412), (503, p1, 552], [606, p1, 664], (695, p1, 740], (791, p1, 836], (887, p1, 916], [925, p1, 1003), [1045, p1, 1073), [1134, p1, 1186], [1278, p1, 1305), [1391, p1, 1408), [1505, p1, 1543], (1567, p1, 1596], [1603, p1, 1607], [1668, p1, 1747), [1758, p1, 1774], (1835, p1, oo)}
s2:            {(35, p2, 68], (104, p2, 190], [259, p2, 306], (356, p2, 424), [521, p2, 523), (582, p2, 657], (725, p2, 792], (833, p2, 858), [870, p2, 912], [919, p2, 1008], (1053, p2, 1058), (1076, p2, 1127), (1224, p2, 1227], (1230, p2, 1273], (1354, p2, 1379), (1385, p2, 1427], (1461, p2, 1517], [1527, p2, 1588), [1601, p2, 1605], [1700, p2, 1764)}
union(s1, s2): {(-oo, p1, -82), [-22, p1, -14), (24, p1, 35], (35, p2, 68], (104, p2, 190], (246, p1, 259), [259, p2, 306], [336, p1, 356], (356, p2, 424), (503, p1, 552], (582, p2, 606), [606, p1, 664], (695, p1, 725], (725, p2, 791], (791, p1, 833], (833, p2, 858), [870, p2, 887], (887, p1, 916], [919, p2, 1008], [1045, p1, 1073), (1076, p2, 1127), [1134, p1, 1186], (1224, p2, 1227], (1230, p2, 1273], [1278, p1, 1305), (1354, p2, 1379), (1385, p2, 1427], (1461, p2, 1505), [1505, p1, 1527), [1527, p2, 1567], (1567, p1, 1596], [1601, p2, 1603), [1603, p1, 1607], [1668, p1, 1700), [1700, p2, 1758), [1758, p1, 1774], (1835, p1, oo)}
------------------
s1:            {[119, p1, 202], (275, p1, 362], (439, p1, 472], (489, p1, 524], (589, p1, 666), [679, p1, 769), (777, p1, 807), (853, p1, 886], (923, p1, 981), (1019, p1, 1104], (1137, p1, 1183], [1213, p1, 1292), [1369, p1, 1460], [1540, p1, 1636), (1652, p1, 1678], [1703, p1, 1769), [1851, p1, 1856], [1940, p1, 1989], [2087, p1, 2111], [2117, p1, 2119]}
s2:            {(-oo, p2, 87), (142, p2, 225], (298, p2, 397), (462, p2, 554], [579, p2, 675), (760, p2, 815], (816, p2, 832], [872, p2, 932], [968, p2, 983], (1042, p2, 1111), (1188, p2, 1203], (1242, p2, 1355), (1361, p2, 1405], [1432, p2, 1510], (1546, p2, 1609], [1611, p2, 1621], [1656, p2, 1732), (1767, p2, 1852), [1880, p2, 1964], [1998, p2, 2049), (2128, p2, oo)}
union(s1, s2): {(-oo, p2, 87), [119, p1, 142], (142, p2, 225], (275, p1, 298], (298, p2, 397), (439, p1, 462], (462, p2, 554], [579, p2, 675), [679, p1, 760], (760, p2, 815], (816, p2, 832], (853, p1, 872), [872, p2, 923], (923, p1, 968), [968, p2, 983], (1019, p1, 1042], (1042, p2, 1111), (1137, p1, 1183], (1188, p2, 1203], [1213, p1, 1242], (1242, p2, 1355), (1361, p2, 1369), [1369, p1, 1432), [1432, p2, 1510], [1540, p1, 1636), (1652, p1, 1656), [1656, p2, 1703), [1703, p1, 1767], (1767, p2, 1851), [1851, p1, 1856], [1880, p2, 1940), [1940, p1, 1989], [1998, p2, 2049), [2087, p1, 2111], [2117, p1, 2119], (2128, p2, oo)}
------------------
s1:            {(-128, p1, -96), (-26, p1, 7], (96, p1, 151], [184, p1, 213], [239, p1, 263), [304, p1, 342], [362, p1, 392), (491, p1, 588], (621, p1, 694), (754, p1, 851], (880, p1, 958], [985, p1, 1022], (1079, p1, 1120), (1214, p1, 1263), (1332, p1, 1409), [1478, p1, 1487), [1522, p1, 1541], (1550, p1, 1605), [1646, p1, 1677], (1708, p1, 1796)}
s2:            {(-78, p2, -35), (35, p2, 70], [124, p2, 169], [227, p2, 318], [364, p2, 447], [514, p2, 528), (601, p2, 649), [687, p2, 695), [731, p2, 746], (830, p2, 887], (954, p2, 956], (993, p2, 1003), [1084, p2, 1120], (1156, p2, 1232], [1298, p2, 1365), (1418, p2, 1457), (1508, p2, 1570], (1644, p2, 1696), (1757, p2, 1770], (1796, p2, 1831], [1879, p2, oo)}
union(s1, s2): {(-128, p1, -96), (-78, p2, -35), (-26, p1, 7], (35, p2, 70], (96, p1, 124), [124, p2, 169], [184, p1, 213], [227, p2, 304), [304, p1, 342], [362, p1, 364), [364, p2, 447], (491, p1, 588], (601, p2, 621], (621, p1, 687), [687, p2, 695), [731, p2, 746], (754, p1, 830], (830, p2, 880], (880, p1, 958], [985, p1, 1022], (1079, p1, 1084), [1084, p2, 1120], (1156, p2, 1214], (1214, p1, 1263), [1298, p2, 1332], (1332, p1, 1409), (1418, p2, 1457), [1478, p1, 1487), (1508, p2, 1550], (1550, p1, 1605), (1644, p2, 1696), (1708, p1, 1796), (1796, p2, 1831], [1879, p2, oo)}
------------------
s1:            {(-oo, p1, -90), (7, p1, 46), (68, p1, 142), (159, p1, 228], [230, p1, 329), [407, p1, 411], [493, p1, 542], (636, p1, 654], [702, p1, 736], (823, p1, 868), (886, p1, 923), (958, p1, 1011], [1039, p1, 1076), [1155, p1, 1219), [1223, p1, 1241], [1318, p1, 1399], (1408, p1, 1490], (1539, p1, 1543), [1567, p1, 1628], [1668, p1, 1741], (1811, p1, 1857], [1937, p1, oo)}
s2:            {(-43, p2, 19), (62, p2, 121), (163, p2, 227], [299, p2, 318), (338, p2, 402), (433, p2, 485], (496, p2, 545), (638, p2, 710), (803, p2, 897], [941, p2, 1022], (1112, p2, 1128), [1172, p2, 1254), [1326, p2, 1330], (1398, p2, 1472], (1540, p2, 1631), [1682, p2, 1772], (1791, p2, 1831], [1886, p2, 1937), [1991, p2, 2004], (2022, p2, 2048)}
union(s1, s2): {(-oo, p1, -90), (-43, p2, 7], (7, p1, 46), (62, p2, 68], (68, p1, 142), (159, p1, 228], [230, p1, 329), (338, p2, 402), [407, p1, 411], (433, p2, 485], [493, p1, 496], (496, p2, 545), (636, p1, 638], (638, p2, 702), [702, p1, 736], (803, p2, 886], (886, p1, 923), [941, p2, 1022], [1039, p1, 1076), (1112, p2, 1128), [1155, p1, 1172), [1172, p2, 1254), [1318, p1, 1398], (1398, p2, 1408], (1408, p1, 1490], (1539, p1, 1540], (1540, p2, 1631), [1668, p1, 1682), [1682, p2, 1772], (1791, p2, 1811], (1811, p1, 1857], [1886, p2, 1937), [1937, p1, oo)}
------------------
s1:            {[-152, p1, -92), [-5, p1, 0], (37, p1, 71], (80, p1, 143], [208, p1, 234), [263, p1, 281], (311, p1, 403], [499, p1, 529), [600, p1, 654], (695, p1, 793], (816, p1, 909), (946, p1, 978), [1009, p1, 1044), [1094, p1, 1175], [1189, p1, 1260], [1356, p1, 1443), (1474, p1, 1542], [1621, p1, 1627), [1674, p1, 1760], [1839, p1, 1863]}
s2:            {[142, p2, 213), [293, p2, 384], [439, p2, 450], (522, p2, 529], (593, p2, 646], [687, p2, 706), [789, p2, 873), [898, p2, 962), (1007, p2, 1071], [1128, p2, 1217], (1258, p2, 1289], [1334, p2, 1419), (1420, p2, 1443), [1521, p2, 1606], [1652, p2, 1698], [1736, p2, 1779), [1843, p2, 1860], [1883, p2, 1909), [1971, p2, 1994]}
union(s1, s2): {[-152, p1, -92), [-5, p1, 0], (37, p1, 71], (80, p1, 142), [142, p2, 208), [208, p1, 234), [263, p1, 281], [293, p2, 311], (311, p1, 403], [439, p2, 450], [499, p1, 522], (522, p2, 529], (593, p2, 600), [600, p1, 654], [687, p2, 695], (695, p1, 789), [789, p2, 816], (816, p1, 898), [898, p2, 946], (946, p1, 978), (1007, p2, 1071], [1094, p1, 1128), [1128, p2, 1189), [1189, p1, 1258], (1258, p2, 1289], [1334, p2, 1356), [1356, p1, 1443), (1474, p1, 1521), [1521, p2, 1606], [1621, p1, 1627), [1652, p2, 1674), [1674, p1, 1736), [1736, p2, 1779), [1839, p1, 1863], [1883, p2, 1909), [1971, p2, 1994]}
------------------
s1:            {[-125, p1, -120), [-90, p1, -53), [-11, p1, 42], (57, p1, 153], (244, p1, 261], (342, p1, 399), [429, p1, 452), (500, p1, 514), [524, p1, 595), [659, p1, 670), (756, p1, 847), (934, p1, 999), [1031, p1, 1064), [1144, p1, 1169], [1240, p1, 1249], (1271, p1, 1310], (1363, p1, 1401), (1432, p1, 1480], (1549, p1, 1639), [1736, p1, 1791)}
s2:            {[-163, p2, -162], [-94, p2, -25), [63, p2, 162], [178, p2, 225], [246, p2, 250), [294, p2, 368), [437, p2, 533), (589, p2, 624], [635, p2, 695), [697, p2, 708], [729, p2, 749], [776, p2, 827), [854, p2, 896], (924, p2, 977), (1045, p2, 1130), (1152, p2, 1166], [1174, p2, 1202], (1228, p2, 1251), [1268, p2, 1289), (1351, p2, 1445)}
union(s1, s2): {[-163, p2, -162], [-125, p1, -120), [-94, p2, -25), [-11, p1, 42], (57, p1, 63), [63, p2, 162], [178, p2, 225], (244, p1, 261], [294, p2, 342], (342, p1, 399), [429, p1, 437), [437, p2, 524), [524, p1, 589], (589, p2, 624], [635, p2, 695), [697, p2, 708], [729, p2, 749], (756, p1, 847), [854, p2, 896], (924, p2, 934], (934, p1, 999), [1031, p1, 1045], (1045, p2, 1130), [1144, p1, 1169], [1174, p2, 1202], (1228, p2, 1251), [1268, p2, 1271], (1271, p1, 1310], (1351, p2, 1432], (1432, p1, 1480], (1549, p1, 1639), [1736, p1, 1791)}
------------------
s1:            {(-66, p1, -20), [37, p1, 52), [85, p1, 113], [129, p1, 140], [196, p1, 236], [260, p1, 311], [347, p1, 404], [417, p1, 419], [508, p1, 578), (616, p1, 636), [687, p1, 725], (804, p1, 890), (971, p1, 1063), [1066, p1, 1107), (1122, p1, 1129], (1160, p1, 1231], (1303, p1, 1330), (1351, p1, 1419], [1448, p1, 1455), [1517, p1, 1591]}
s2:            {(-oo, p2, 150], [187, p2, 188), [278, p2, 351), (431, p2, 477], [576, p2, 614), [657, p2, 741], (781, p2, 795], [873, p2, 972], [985, p2, 1053), [1078, p2, 1149), [1189, p2, 1205), (1291, p2, 1379), (1431, p2, 1453), (1521, p2, 1545), [1574, p2, 1661), (1741, p2, 1780), [1862, p2, 1899), (1962, p2, 2047], [2121, p2, 2123], (2176, p2, 2216], [2287, p2, 2356)}
union(s1, s2): {(-oo, p2, 150], [187, p2, 188), [196, p1, 236], [260, p1, 278), [278, p2, 347), [347, p1, 404], [417, p1, 419], (431, p2, 477], [508, p1, 576), [576, p2, 614), (616, p1, 636), [657, p2, 741], (781, p2, 795], (804, p1, 873), [873, p2, 971], (971, p1, 1063), [1066, p1, 1078), [1078, p2, 1149), (1160, p1, 1231], (1291, p2, 1351], (1351, p1, 1419], (1431, p2, 1448), [1448, p1, 1455), [1517, p1, 1574), [1574, p2, 1661), (1741, p2, 1780), [1862, p2, 1899), (1962, p2, 2047], [2121, p2, 2123], (2176, p2, 2216], [2287, p2, 2356)}
------------------
s1:            {[145, p1, 199], (270, p1, 292), (325, p1, 346), [360, p1, 403], (469, p1, 501), [542, p1, 555], [579, p1, 675], (709, p1, 781], (793, p1, 872), [971, p1, 1029), (1057, p1, 1139), [1167, p1, 1230], [1291, p1, 1296], (1301, p1, 1367], [1380, p1, 1399], (1408, p1, 1418], [1516, p1, 1571], (1627, p1, 1633], [1642, p1, 1675], (1700, p1, 1790)}
s2:            {[204, p2, 297), (326, p2, 347), [368, p2, 451), (503, p2, 519], (590, p2, 644), [715, p2, 752), [833, p2, 847], (853, p2, 916], [934, p2, 972), (974, p2, 1052], [1143, p2, 1207), (1297, p2, 1387], (1408, p2, 1477], (1524, p2, 1602), [1632, p2, 1665], [1677, p2, 1760), (1808, p2, 1905], (1948, p2, 1978], [2068, p2, 2092], (2181, p2, 2238)}
union(s1, s2): {[145, p1, 199], [204, p2, 297), (325, p1, 326], (326, p2, 347), [360, p1, 368), [368, p2, 451), (469, p1, 501), (503, p2, 519], [542, p1, 555], [579, p1, 675], (709, p1, 781], (793, p1, 853], (853, p2, 916], [934, p2, 971), [971, p1, 974], (974, p2, 1052], (1057, p1, 1139), [1143, p2, 1167), [1167, p1, 1230], [1291, p1, 1296], (1297, p2, 1380), [1380, p1, 1399], (1408, p2, 1477], [1516, p1, 1524], (1524, p2, 1602), (1627, p1, 1632), [1632, p2, 1642), [1642, p1, 1675], [1677, p2, 1700], (1700, p1, 1790), (1808, p2, 1905], (1948, p2, 1978], [2068, p2, 2092], (2181, p2, 2238)}
------------------
s1:            {(-93, p1, -19), (-15, p1, 5), (8, p1, 27], [117, p1, 193), [231, p1, 257), [355, p1, 400), [477, p1, 507], (588, p1, 651), [704, p1, 796), [886, p1, 921), [959, p1, 1046), [1091, p1, 1094], [1119, p1, 1176), [1259, p1, 1288), [1357, p1, 1441], (1504, p1, 1592), [1657, p1, 1727], (1775, p1, 1812), (1821, p1, 1826], [1878, p1, 1886), (1922, p1, oo)}
s2:            {(-oo, p2, 43), [112, p2, 193), [223, p2, 228], [275, p2, 350), (373, p2, 409), (496, p2, 515), [598, p2, 678), [715, p2, 785), [834, p2, 879), (942, p2, 950), [1031, p2, 1095], [1191, p2, 1238), [1272, p2, 1330), (1408, p2, 1437], [1528, p2, 1564], (1632, p2, 1661), [1732, p2, 1825), (1917, p2, 1924], (2000, p2, 2001], [2028, p2, 2100), [2167, p2, 2222)}
union(s1, s2): {(-oo, p2, 43), [112, p2, 193), [223, p2, 228], [231, p1, 257), [275, p2, 350), [355, p1, 373], (373, p2, 409), [477, p1, 496], (496, p2, 515), (588, p1, 598), [598, p2, 678), [704, p1, 796), [834, p2, 879), [886, p1, 921), (942, p2, 950), [959, p1, 1031), [1031, p2, 1095], [1119, p1, 1176), [1191, p2, 1238), [1259, p1, 1272), [1272, p2, 1330), [1357, p1, 1441], (1504, p1, 1592), (1632, p2, 1657), [1657, p1, 1727], [1732, p2, 1821], (1821, p1, 1826], [1878, p1, 1886), (1917, p2, 1922], (1922, p1, oo)}
------------------
s1:            {[158, p1, 257], (267, p1, 315), (340, p1, 354), (354, p1, 365], (432, p1, 479], (494, p1, 584), [614, p1, 684], (775, p1, 777], (791, p1, 853], [893, p1, 933), (996, p1, 1067], (1120, p1, 1173), [1267, p1, 1341], (1347, p1, 1381), [1453, p1, 1496], [1551, p1, 1580], (1618, p1, 1708], (1771, p1, 1789], [1852, p1, 1869), [1931, p1, 1981)}
s2:            {(-oo, p2, -134], [-87, p2, -23], [51, p2, 56), [86, p2, 95), (140, p2, 239], [323, p2, 409], (459, p2, 493], [563, p2, 637], [735, p2, 771], (792, p2, 879), (945, p2, 990), (1037, p2, 1062), [1138, p2, 1212), (1227, p2, 1244], (1296, p2, 1307), (1392, p2, 1463), (1555, p2, 1625], (1673, p2, 1717), [1765, p2, 1847), (1897, p2, 1902), [1921, p2, 1967)}
union(s1, s2): {(-oo, p2, -134], [-87, p2, -23], [51, p2, 56), [86, p2, 95), (140, p2, 158), [158, p1, 257], (267, p1, 315), [323, p2, 409], (432, p1, 459], (459, p2, 493], (494, p1, 563), [563, p2, 614), [614, p1, 684], [735, p2, 771], (775, p1, 777], (791, p1, 792], (792, p2, 879), [893, p1, 933), (945, p2, 990), (996, p1, 1067], (1120, p1, 1138), [1138, p2, 1212), (1227, p2, 1244], [1267, p1, 1341], (1347, p1, 1381), (1392, p2, 1453), [1453, p1, 1496], [1551, p1, 1555], (1555, p2, 1618], (1618, p1, 1673], (1673, p2, 1717), [1765, p2, 1847), [1852, p1, 1869), (1897, p2, 1902), [1921, p2, 1931), [1931, p1, 1981)}
------------------
s1:            {[-60, p1, -32), [10, p1, 48), [69, p1, 111], (202, p1, 261), [309, p1, 309], (311, p1, 326), (363, p1, 425], (511, p1, 567], (587, p1, 653], [675, p1, 681], [733, p1, 793], (877, p1, 964], (1000, p1, 1086], (1103, p1, 1195), [1292, p1, 1341], [1423, p1, 1489], [1551, p1, 1593), (1655, p1, 1728], [1787, p1, 1868), (1906, p1, 1974]}
s2:            {(-oo, p2, -107], [-12, p2, 80], [119, p2, 151], [223, p2, 308), [360, p2, 399], [486, p2, 511), (606, p2, 676), (686, p2, 757], [852, p2, 907], (953, p2, 999), (1012, p2, 1030), [1033, p2, 1048], (1059, p2, 1072], (1144, p2, 1212], [1288, p2, 1291), [1312, p2, 1363], (1446, p2, 1472], [1571, p2, 1614), [1689, p2, 1758], [1841, p2, 1917], (2005, p2, 2027), [2069, p2, oo)}
union(s1, s2): {(-oo, p2, -107], [-60, p1, -32), [-12, p2, 69), [69, p1, 111], [119, p2, 151], (202, p1, 223), [223, p2, 308), [309, p1, 309], (311, p1, 326), [360, p2, 363], (363, p1, 425], [486, p2, 511), (511, p1, 567], (587, p1, 606], (606, p2, 675), [675, p1, 681], (686, p2, 733), [733, p1, 793], [852, p2, 877], (877, p1, 953], (953, p2, 999), (1000, p1, 1086], (1103, p1, 1144], (1144, p2, 1212], [1288, p2, 1291), [1292, p1, 1312), [1312, p2, 1363], [1423, p1, 1489], [1551, p1, 1571), [1571, p2, 1614), (1655, p1, 1689), [1689, p2, 1758], [1787, p1, 1841), [1841, p2, 1906], (1906, p1, 1974], (2005, p2, 2027), [2069, p2, oo)}
------------------
s1:            {(-oo, p1, 113), [182, p1, 262], [355, p1, 355], (396, p1, 475], (517, p1, 562), (592, p1, 636], [699, p1, 738), [802, p1, 852), [892, p1, 893), [928, p1, 964), [996, p1, 1075), (1142, p1, 1191), [1269, p1, 1364), [1371, p1, 1457], (1501, p1, 1505], (1556, p1, 1591), (1610, p1, 1704], (1731, p1, 1741], [1802, p1, 1874), (1887, p1, 1962], (2041, p1, 2129)}
s2:            {[183, p2, 258), [293, p2, 323], (347, p2, 361], [416, p2, 483], (556, p2, 583), [652, p2, 750), [777, p2, 812), (842, p2, 896], [937, p2, 984], (985, p2, 1036], (1118, p2, 1196], (1214, p2, 1258), (1304, p2, 1305], (1395, p2, 1433], (1485, p2, 1508), (1528, p2, 1595], [1654, p2, 1656], [1730, p2, 1829], (1870, p2, 1911), (1994, p2, 2040)}
union(s1, s2): {(-oo, p1, 113), [182, p1, 262], [293, p2, 323], (347, p2, 361], (396, p1, 416), [416, p2, 483], (517, p1, 556], (556, p2, 583), (592, p1, 636], [652, p2, 750), [777, p2, 802), [802, p1, 842], (842, p2, 896], [928, p1, 937), [937, p2, 984], (985, p2, 996), [996, p1, 1075), (1118, p2, 1196], (1214, p2, 1258), [1269, p1, 1364), [1371, p1, 1457], (1485, p2, 1508), (1528, p2, 1595], (1610, p1, 1704], [1730, p2, 1802), [1802, p1, 1870], (1870, p2, 1887], (1887, p1, 1962], (1994, p2, 2040), (2041, p1, 2129)}
------------------
s1:            {(98, p1, 100), (169, p1, 184], [231, p1, 316], [319, p1, 344], (397, p1, 457], [458, p1, 495), (502, p1, 520), (599, p1, 649], (657, p1, 756], [832, p1, 895), [957, p1, 1021), (1027, p1, 1056], [1108, p1, 1178], (1210, p1, 1213), (1258, p1, 1329], (1337, p1, 1343), [1414, p1, 1462], [1539, p1, 1583), [1660, p1, 1702], [1709, p1, 1742]}
s2:            {[229, p2, 303), [312, p2, 363), (424, p2, 455], (509, p2, 546], [633, p2, 680), (757, p2, 801), (893, p2, 922), [998, p2, 1047], (1072, p2, 1168), [1216, p2, 1246), (1246, p2, 1297), (1308, p2, 1337), [1365, p2, 1444], (1465, p2, 1490], [1502, p2, 1591], (1619, p2, 1679], [1708, p2, 1798), [1845, p2, 1910), [1961, p2, 1990), (2029, p2, 2105]}
union(s1, s2): {(98, p1, 100), (169, p1, 184], [229, p2, 231), [231, p1, 312), [312, p2, 363), (397, p1, 457], [458, p1, 495), (502, p1, 509], (509, p2, 546], (599, p1, 633), [633, p2, 657], (657, p1, 756], (757, p2, 801), [832, p1, 893], (893, p2, 922), [957, p1, 998), [998, p2, 1027], (1027, p1, 1056], (1072, p2, 1108), [1108, p1, 1178], (1210, p1, 1213), [1216, p2, 1246), (1246, p2, 1258], (1258, p1, 1308], (1308, p2, 1337), (1337, p1, 1343), [1365, p2, 1414), [1414, p1, 1462], (1465, p2, 1490], [1502, p2, 1591], (1619, p2, 1660), [1660, p1, 1702], [1708, p2, 1798), [1845, p2, 1910), [1961, p2, 1990), (2029, p2, 2105]}
------------------
s1:            {(-oo, p1, -20], (1, p1, 65], (124, p1, 212], [309, p1, 334], (373, p1, 399), [476, p1, 531), [547, p1, 639), (720, p1, 744], [824, p1, 911], (986, p1, 1009], [1011, p1, 1024), [1025, p1, 1105], (1153, p1, 1175], [1237, p1, 1297], (1318, p1, 1337], (1358, p1, 1421], (1448, p1, 1510), [1546, p1, 1558), (1561, p1, 1571], (1622, p1, 1710], (1758, p1, 1826], [1862, p1, oo)}
s2:            {[17, p2, 88], [138, p2, 183], (251, p2, 258], [314, p2, 392], [426, p2, 482), (527, p2, 619), (674, p2, 686], (759, p2, 794), (827, p2, 915), [984, p2, 1080], [1158, p2, 1162), [1179, p2, 1180], (1221, p2, 1240], [1293, p2, 1392], (1467, p2, 1547], [1560, p2, 1584], (1678, p2, 1690), [1739, p2, 1768), (1798, p2, 1819], (1892, p2, 1942), (1994, p2, oo)}
union(s1, s2): {(-oo, p1, -20], (1, p1, 17), [17, p2, 88], (124, p1, 212], (251, p2, 258], [309, p1, 314), [314, p2, 373], (373, p1, 399), [426, p2, 476), [476, p1, 527], (527, p2, 547), [547, p1, 639), (674, p2, 686], (720, p1, 744], (759, p2, 794), [824, p1, 827], (827, p2, 915), [984, p2, 1025), [1025, p1, 1105], (1153, p1, 1175], [1179, p2, 1180], (1221, p2, 1237), [1237, p1, 1293), [1293, p2, 1358], (1358, p1, 1421], (1448, p1, 1467], (1467, p2, 1546), [1546, p1, 1558), [1560, p2, 1584], (1622, p1, 1710], [1739, p2, 1758], (1758, p1, 1826], [1862, p1, oo)}
------------------
s1:            {(-oo, p1, -114), (-52, p1, -8), (6, p1, 9), [26, p1, 81), (107, p1, 136), (205, p1, 296], [301, p1, 349), (434, p1, 491), (580, p1, 659], (672, p1, 683], [744, p1, 816], [821, p1, 909), [960, p1, 1021], [1060, p1, 1077], (1147, p1, 1187], [1249, p1, 1263), (1335, p1, 1400], [1499, p1, 1514], [1591, p1, 1681], (1745, p1, 1840), (1898, p1, 1940), [1941, p1, oo)}
s2:            {(57, p2, 98), [180, p2, 213), (255, p2, 276], (368, p2, 385], (464, p2, 515], [557, p2, 651), [662, p2, 716), (738, p2, 798], [888, p2, 975), (1051, p2, 1058), [1097, p2, 1166), (1197, p2, 1258], [1343, p2, 1355), [1443, p2, 1506), (1566, p2, 1654], (1746, p2, 1838], (1862, p2, 1940], (1947, p2, 2004], (2051, p2, 2089)}
union(s1, s2): {(-oo, p1, -114), (-52, p1, -8), (6, p1, 9), [26, p1, 57], (57, p2, 98), (107, p1, 136), [180, p2, 205], (205, p1, 296], [301, p1, 349), (368, p2, 385], (434, p1, 464], (464, p2, 515], [557, p2, 580], (580, p1, 659], [662, p2, 716), (738, p2, 744), [744, p1, 816], [821, p1, 888), [888, p2, 960), [960, p1, 1021], (1051, p2, 1058), [1060, p1, 1077], [1097, p2, 1147], (1147, p1, 1187], (1197, p2, 1249), [1249, p1, 1263), (1335, p1, 1400], [1443, p2, 1499), [1499, p1, 1514], (1566, p2, 1591), [1591, p1, 1681], (1745, p1, 1840), (1862, p2, 1940], [1941, p1, oo)}
------------------
s1:            {(-64, p1, -54), (45, p1, 115), [139, p1, 227), [317, p1, 335), (418, p1, 457], [487, p1, 541), (596, p1, 600], [650, p1, 747), [831, p1, 930], [1023, p1, 1122), [1213, p1, 1218], [1311, p1, 1409], (1413, p1, 1421), (1443, p1, 1524), [1607, p1, 1698), (1795, p1, 1854), [1936, p1, 2031), [2048, p1, 2110], (2200, p1, 2207], (2304, p1, 2309)}
s2:            {(6, p2, 102], [141, p2, 228), (314, p2, 318], [329, p2, 395], (457, p2, 493), [533, p2, 545), [629, p2, 703), [707, p2, 720), (799, p2, 852), (861, p2, 911], [969, p2, 1065), (1079, p2, 1102], [1183, p2, 1236), (1274, p2, 1344), [1417, p2, 1484], [1562, p2, 1636), [1680, p2, 1717], [1782, p2, 1863], (1921, p2, 1925], (2012, p2, 2042]}
union(s1, s2): {(-64, p1, -54), (6, p2, 45], (45, p1, 115), [139, p1, 141), [141, p2, 228), (314, p2, 317), [317, p1, 329), [329, p2, 395], (418, p1, 457], (457, p2, 487), [487, p1, 533), [533, p2, 545), (596, p1, 600], [629, p2, 650), [650, p1, 747), (799, p2, 831), [831, p1, 930], [969, p2, 1023), [1023, p1, 1122), [1183, p2, 1236), (1274, p2, 1311), [1311, p1, 1409], (1413, p1, 1417), [1417, p2, 1443], (1443, p1, 1524), [1562, p2, 1607), [1607, p1, 1680), [1680, p2, 1717], [1782, p2, 1863], (1921, p2, 1925], [1936, p1, 2012], (2012, p2, 2042], [2048, p1, 2110], (2200, p1, 2207], (2304, p1, 2309)}
------------------
s1:            {[9, p1, 108), [194, p1, 288), [329, p1, 389), [397, p1, 491), [540, p1, 557], [575, p1, 657), (672, p1, 732], [738, p1, 793], (799, p1, 830), [890, p1, 893), [951, p1, 985), [1043, p1, 1061), [1089, p1, 1132), [1159, p1, 1173], (1182, p1, 1217), (1301, p1, 1356], [1379, p1, 1393), (1411, p1, 1487), (1544, p1, 1562], [1601, p1, 1692]}
s2:            {[66, p2, 110], (140, p2, 165), [243, p2, 327), [384, p2, 387], (460, p2, 520], (552, p2, 600), [632, p2, 713), (727, p2, 789], [803, p2, 828), [912, p2, 934], (1011, p2, 1025), (1075, p2, 1078], (1086, p2, 1152], (1223, p2, 1235], (1295, p2, 1328], [1376, p2, 1442], (1489, p2, 1531], (1604, p2, 1668), [1672, p2, 1735), [1785, p2, 1830), (1898, p2, oo)}
union(s1, s2): {[9, p1, 66), [66, p2, 110], (140, p2, 165), [194, p1, 243), [243, p2, 327), [329, p1, 389), [397, p1, 460], (460, p2, 520], [540, p1, 552], (552, p2, 575), [575, p1, 632), [632, p2, 672], (672, p1, 727], (727, p2, 738), [738, p1, 793], (799, p1, 830), [890, p1, 893), [912, p2, 934], [951, p1, 985), (1011, p2, 1025), [1043, p1, 1061), (1075, p2, 1078], (1086, p2, 1152], [1159, p1, 1173], (1182, p1, 1217), (1223, p2, 1235], (1295, p2, 1301], (1301, p1, 1356], [1376, p2, 1411], (1411, p1, 1487), (1489, p2, 1531], (1544, p1, 1562], [1601, p1, 1672), [1672, p2, 1735), [1785, p2, 1830), (1898, p2, oo)}
------------------
s1:            {[60, p1, 86], [110, p1, 150), [155, p1, 251), [335, p1, 398), (441, p1, 448), [449, p1, 457], [544, p1, 552], [562, p1, 582], [642, p1, 771), [834, p1, 911], [964, p1, 1009), [1092, p1, 1150], [1200, p1, 1277], [1356, p1, 1449), (1538, p1, 1598], (1694, p1, 1702), [1757, p1, 1784), (1848, p1, 1849), (1919, p1, 1927]}
s2:            {(-oo, p2, 17), (41, p2, 132], [141, p2, 156], [183, p2, 185], [194, p2, 283], [323, p2, 363], [397, p2, 426), (464, p2, 493), (506, p2, 528], (545, p2, 631), [686, p2, 750], [788, p2, 793), (827, p2, 873), (928, p2, 989), (1003, p2, 1054], (1062, p2, 1093), [1122, p2, 1162), (1209, p2, 1293), (1365, p2, 1410), (1503, p2, 1564], (1624, p2, 1628]}
union(s1, s2): {(-oo, p2, 17), (41, p2, 110), [110, p1, 141), [141, p2, 155), [155, p1, 194), [194, p2, 283], [323, p2, 335), [335, p1, 397), [397, p2, 426), (441, p1, 448), [449, p1, 457], (464, p2, 493), (506, p2, 528], [544, p1, 545], (545, p2, 631), [642, p1, 771), [788, p2, 793), (827, p2, 834), [834, p1, 911], (928, p2, 964), [964, p1, 1003], (1003, p2, 1054], (1062, p2, 1092), [1092, p1, 1122), [1122, p2, 1162), [1200, p1, 1209], (1209, p2, 1293), [1356, p1, 1449), (1503, p2, 1538], (1538, p1, 1598], (1624, p2, 1628], (1694, p1, 1702), [1757, p1, 1784), (1848, p1, 1849), (1919, p1, 1927]}
------------------
s1:            {(-oo, p1, 90), [107, p1, 156), (198, p1, 229], [233, p1, 259], (303, p1, 344), (366, p1, 513], (529, p1, 606], (681, p1, 772), (794, p1, 842), [923, p1, 955], [1032, p1, 1096], (1162, p1, 1214], [1236, p1, 1251], (1348, p1, 1444], [1537, p1, 1596], (1663, p1, 1746], (1801, p1, 1872), (1881, p1, 1932), (2017, p1, 2066], [2125, p1, 2168]}
s2:            {[67, p2, 165), [192, p2, 228], (250, p2, 257], (270, p2, 362], [453, p2, 547], (646, p2, 681], [770, p2, 843), [847, p2, 870], (891, p2, 892), (918, p2, 995), [1083, p2, 1151], [1211, p2, 1245), [1310, p2, 1313), (1323, p2, 1340), [1416, p2, 1444], [1478, p2, 1480], [1491, p2, 1494), [1561, p2, 1566), (1628, p2, 1703]}
union(s1, s2): {(-oo, p1, 67), [67, p2, 165), [192, p2, 198], (198, p1, 229], [233, p1, 259], (270, p2, 362], (366, p1, 453), [453, p2, 529], (529, p1, 606], (646, p2, 681], (681, p1, 770), [770, p2, 843), [847, p2, 870], (891, p2, 892), (918, p2, 995), [1032, p1, 1083), [1083, p2, 1151], (1162, p1, 1211), [1211, p2, 1236), [1236, p1, 1251], [1310, p2, 1313), (1323, p2, 1340), (1348, p1, 1444], [1478, p2, 1480], [1491, p2, 1494), [1537, p1, 1596], (1628, p2, 1663], (1663, p1, 1746], (1801, p1, 1872), (1881, p1, 1932), (2017, p1, 2066], [2125, p1, 2168]}
------------------
s1:            {(-oo, p1, 151], [230, p1, 298], [332, p1, 370), (381, p1, 457), (489, p1, 581), [663, p1, 698), (754, p1, 853), [948, p1, 971), (980, p1, 1032], [1113, p1, 1212), (1301, p1, 1384], [1481, p1, 1565), [1624, p1, 1720], (1755, p1, 1781], (1851, p1, 1871], [1872, p1, 1897], (1921, p1, 2020), (2072, p1, 2133], (2192, p1, 2288], (2346, p1, 2360], (2391, p1, 2474)}
s2:            {(2, p2, 96], [176, p2, 236], (299, p2, 370], (394, p2, 482], [500, p2, 596], [693, p2, 712], [717, p2, 725), (796, p2, 830), (837, p2, 854], (922, p2, 944], [984, p2, 1011], (1108, p2, 1190), (1212, p2, 1267), (1345, p2, 1441), (1491, p2, 1508), [1550, p2, 1642), [1739, p2, 1805), (1885, p2, 1952], [1956, p2, 1999), (2030, p2, 2076)}
union(s1, s2): {(-oo, p1, 151], [176, p2, 230), [230, p1, 298], (299, p2, 370], (381, p1, 394], (394, p2, 482], (489, p1, 500), [500, p2, 596], [663, p1, 693), [693, p2, 712], [717, p2, 725), (754, p1, 837], (837, p2, 854], (922, p2, 944], [948, p1, 971), (980, p1, 1032], (1108, p2, 1113), [1113, p1, 1212), (1212, p2, 1267), (1301, p1, 1345], (1345, p2, 1441), [1481, p1, 1550), [1550, p2, 1624), [1624, p1, 1720], [1739, p2, 1805), (1851, p1, 1871], [1872, p1, 1885], (1885, p2, 1921], (1921, p1, 2020), (2030, p2, 2072], (2072, p1, 2133], (2192, p1, 2288], (2346, p1, 2360], (2391, p1, 2474)}
------------------
s1:            {(-oo, p1, -67), [29, p1, 77], (107, p1, 153], [169, p1, 196], (274, p1, 344], [408, p1, 435), (479, p1, 540], [623, p1, 668], (685, p1, 715], (799, p1, 818), (846, p1, 905], [957, p1, 1016], [1045, p1, 1078), (1119, p1, 1131], [1160, p1, 1208), [1266, p1, 1317], [1388, p1, 1392], (1439, p1, 1502), (1565, p1, 1638], (1649, p1, 1683], [1685, p1, 1697)}
s2:            {(-oo, p2, 33], (54, p2, 137), (150, p2, 204], (291, p2, 373), [442, p2, 451), [453, p2, 485], [569, p2, 579], [639, p2, 719], (816, p2, 850], [914, p2, 964), (1058, p2, 1130], [1215, p2, 1225], [1245, p2, 1322), [1324, p2, 1419], (1457, p2, 1555], [1595, p2, 1627), [1657, p2, 1658), [1663, p2, 1693], [1779, p2, 1827], [1912, p2, 1969], [2029, p2, 2077)}
union(s1, s2): {(-oo, p2, 29), [29, p1, 54], (54, p2, 107], (107, p1, 150], (150, p2, 204], (274, p1, 291], (291, p2, 373), [408, p1, 435), [442, p2, 451), [453, p2, 479], (479, p1, 540], [569, p2, 579], [623, p1, 639), [639, p2, 719], (799, p1, 816], (816, p2, 846], (846, p1, 905], [914, p2, 957), [957, p1, 1016], [1045, p1, 1058], (1058, p2, 1119], (1119, p1, 1131], [1160, p1, 1208), [1215, p2, 1225], [1245, p2, 1322), [1324, p2, 1419], (1439, p1, 1457], (1457, p2, 1555], (1565, p1, 1638], (1649, p1, 1663), [1663, p2, 1685), [1685, p1, 1697), [1779, p2, 1827], [1912, p2, 1969], [2029, p2, 2077)}
------------------
s1:            {[-9, p1, 42), (82, p1, 142], [209, p1, 257), (273, p1, 358], [438, p1, 480), (552, p1, 568), (632, p1, 694], [705, p1, 800), [837, p1, 876], (931, p1, 972], (1041, p1, 1044], (1076, p1, 1099], [1194, p1, 1270], [1365, p1, 1421), [1491, p1, 1584), [1592, p1, 1649], [1692, p1, 1707), (1728, p1, 1774], (1853, p1, 1897), (1910, p1, 1957]}
s2:            {(-oo, p2, 111), (199, p2, 234), (283, p2, 290), (388, p2, 428], (514, p2, 515), (598, p2, 678], (692, p2, 731), (765, p2, 847), [859, p2, 878), (959, p2, 973], [1060, p2, 1119], [1148, p2, 1228), [1280, p2, 1347], (1356, p2, 1364), (1381, p2, 1399), (1466, p2, 1538), [1587, p2, 1608], (1650, p2, 1651], (1741, p2, 1815), (1857, p2, 1926], [1971, p2, 2038)}
union(s1, s2): {(-oo, p2, 82], (82, p1, 142], (199, p2, 209), [209, p1, 257), (273, p1, 358], (388, p2, 428], [438, p1, 480), (514, p2, 515), (552, p1, 568), (598, p2, 632], (632, p1, 692], (692, p2, 705), [705, p1, 765], (765, p2, 837), [837, p1, 859), [859, p2, 878), (931, p1, 959], (959, p2, 973], (1041, p1, 1044], [1060, p2, 1119], [1148, p2, 1194), [1194, p1, 1270], [1280, p2, 1347], (1356, p2, 1364), [1365, p1, 1421), (1466, p2, 1491), [1491, p1, 1584), [1587, p2, 1592), [1592, p1, 1649], (1650, p2, 1651], [1692, p1, 1707), (1728, p1, 1741], (1741, p2, 1815), (1853, p1, 1857], (1857, p2, 1910], (1910, p1, 1957], [1971, p2, 2038)}
------------------
s1:            {[228, p1, 314), (332, p1, 410), [486, p1, 491], (558, p1, 617], (711, p1, 785], (853, p1, 926), [1014, p1, 1068], (1086, p1, 1115), (1138, p1, 1185), (1254, p1, 1266), [1361, p1, 1394], (1418, p1, 1450], (1527, p1, 1606), [1614, p1, 1685], [1691, p1, 1757], [1854, p1, 1942), [1996, p1, 2019), [2028, p1, 2112), (2119, p1, 2202], [2253, p1, 2291)}
s2:            {(-oo, p2, 17], (80, p2, 95), [188, p2, 192), [291, p2, 303), [334, p2, 408], [438, p2, 479), [548, p2, 678), [736, p2, 818), [835, p2, 848], [928, p2, 1012), [1018, p2, 1085], [1134, p2, 1223), [1281, p2, 1369], [1464, p2, 1466), [1516, p2, 1601], [1657, p2, 1667), (1685, p2, 1744), (1774, p2, 1820), [1918, p2, 1987], (2071, p2, 2143]}
union(s1, s2): {(-oo, p2, 17], (80, p2, 95), [188, p2, 192), [228, p1, 314), (332, p1, 410), [438, p2, 479), [486, p1, 491], [548, p2, 678), (711, p1, 736), [736, p2, 818), [835, p2, 848], (853, p1, 926), [928, p2, 1012), [1014, p1, 1018), [1018, p2, 1085], (1086, p1, 1115), [1134, p2, 1223), (1254, p1, 1266), [1281, p2, 1361), [1361, p1, 1394], (1418, p1, 1450], [1464, p2, 1466), [1516, p2, 1527], (1527, p1, 1606), [1614, p1, 1685], (1685, p2, 1691), [1691, p1, 1757], (1774, p2, 1820), [1854, p1, 1918), [1918, p2, 1987], [1996, p1, 2019), [2028, p1, 2071], (2071, p2, 2119], (2119, p1, 2202], [2253, p1, 2291)}
------------------
s1:            {[152, p1, 180), [223, p1, 224), (261, p1, 316], (371, p1, 464), [478, p1, 518], (599, p1, 640], [653, p1, 690], [723, p1, 817], [879, p1, 911], [983, p1, 1027), [1052, p1, 1123], [1217, p1, 1263], [1299, p1, 1303), (1307, p1, 1357], (1436, p1, 1438], [1501, p1, 1579], (1601, p1, 1664), (1748, p1, 1759], [1821, p1, 1833], [1838, p1, 1932)}
s2:            {(-oo, p2, -41), (-27, p2, 50), (123, p2, 213), (213, p2, 291], [364, p2, 412), (495, p2, 584), (603, p2, 630], [662, p2, 757], (797, p2, 825], (828, p2, 876), (910, p2, 959], (1051, p2, 1053), [1096, p2, 1147], [1198, p2, 1208], [1231, p2, 1319), (1319, p2, 1406], (1444, p2, 1445), [1473, p2, 1474], (1573, p2, 1645], [1711, p2, 1762), [1811, p2, 1851), (1877, p2, oo)}
union(s1, s2): {(-oo, p2, -41), (-27, p2, 50), (123, p2, 213), (213, p2, 261], (261, p1, 316], [364, p2, 371], (371, p1, 464), [478, p1, 495], (495, p2, 584), (599, p1, 640], [653, p1, 662), [662, p2, 723), [723, p1, 797], (797, p2, 825], (828, p2, 876), [879, p1, 910], (910, p2, 959], [983, p1, 1027), (1051, p2, 1052), [1052, p1, 1096), [1096, p2, 1147], [1198, p2, 1208], [1217, p1, 1231), [1231, p2, 1307], (1307, p1, 1319], (1319, p2, 1406], (1436, p1, 1438], (1444, p2, 1445), [1473, p2, 1474], [1501, p1, 1573], (1573, p2, 1601], (1601, p1, 1664), [1711, p2, 1762), [1811, p2, 1838), [1838, p1, 1877], (1877, p2, oo)}
------------------
s1:            {(-oo, p1, 240), (319, p1, 334), (365, p1, 409), [433, p1, 482], (539, p1, 581), (619, p1, 634), (642, p1, 667), [747, p1, 843), [926, p1, 957], (978, p1, 986], [995, p1, 1020), [1056, p1, 1091], [1187, p1, 1190), [1193, p1, 1231), [1299, p1, 1336), (1381, p1, 1393], [1394, p1, 1401), [1493, p1, 1576], [1629, p1, 1671), [1686, p1, 1687), [1710, p1, 1786), [1801, p1, oo)}
s2:            {[-78, p2, -12), (-10, p2, -3], (25, p2, 27], [55, p2, 136], (190, p2, 202), (273, p2, 338], [361, p2, 364], (403, p2, 422], [521, p2, 604], [651, p2, 746), [813, p2, 816), [856, p2, 902), (911, p2, 1006), [1056, p2, 1089), (1120, p2, 1207), (1284, p2, 1314), (1367, p2, 1425), (1434, p2, 1485], [1576, p2, 1651), [1745, p2, 1761)}
union(s1, s2): {(-oo, p1, 240), (273, p2, 338], [361, p2, 364], (365, p1, 403], (403, p2, 422], [433, p1, 482], [521, p2, 604], (619, p1, 634), (642, p1, 651), [651, p2, 746), [747, p1, 843), [856, p2, 902), (911, p2, 995), [995, p1, 1020), [1056, p1, 1091], (1120, p2, 1193), [1193, p1, 1231), (1284, p2, 1299), [1299, p1, 1336), (1367, p2, 1425), (1434, p2, 1485], [1493, p1, 1576), [1576, p2, 1629), [1629, p1, 1671), [1686, p1, 1687), [1710, p1, 1786), [1801, p1, oo)}
------------------
s1:            {(-oo, p1, 143], [216, p1, 315], [381, p1, 448], [493, p1, 495), (542, p1, 543], [564, p1, 592), [612, p1, 683], [774, p1, 804], (851, p1, 852), (911, p1, 928), [962, p1, 1036), [1082, p1, 1168), (1198, p1, 1211], [1257, p1, 1284), (1341, p1, 1420], [1519, p1, 1587), [1588, p1, 1659), [1664, p1, 1710), (1776, p1, 1801], (1881, p1, 1960), (1992, p1, 1993)}
s2:            {(-22, p2, -4), (22, p2, 94], (157, p2, 201), (209, p2, 259], [305, p2, 359], [427, p2, 453), (526, p2, 617), [652, p2, 694), (701, p2, 720], (746, p2, 753), (819, p2, 912), [972, p2, 1042], (1134, p2, 1204), (1293, p2, 1455], (1458, p2, 1550], [1624, p2, 1648), (1728, p2, 1790], [1871, p2, 1884), [1936, p2, 1941]}
union(s1, s2): {(-oo, p1, 143], (157, p2, 201), (209, p2, 216), [216, p1, 305), [305, p2, 359], [381, p1, 427), [427, p2, 453), [493, p1, 495), (526, p2, 612), [612, p1, 652), [652, p2, 694), (701, p2, 720], (746, p2, 753), [774, p1, 804], (819, p2, 911], (911, p1, 928), [962, p1, 972), [972, p2, 1042], [1082, p1, 1134], (1134, p2, 1198], (1198, p1, 1211], [1257, p1, 1284), (1293, p2, 1455], (1458, p2, 1519), [1519, p1, 1587), [1588, p1, 1659), [1664, p1, 1710), (1728, p2, 1776], (1776, p1, 1801], [1871, p2, 1881], (1881, p1, 1960), (1992, p1, 1993)}
------------------
s1:            {(-oo, p1, 33], (104, p1, 192], [252, p1, 347), [412, p1, 482), [564, p1, 592), [659, p1, 666), (748, p1, 845], (940, p1, 1023), [1118, p1, 1200], [1257, p1, 1265), [1294, p1, 1295), [1393, p1, 1476], [1563, p1, 1566), (1610, p1, 1663], (1761, p1, 1826), (1902, p1, 1905], [1932, p1, 1963), (2059, p1, 2061], (2138, p1, 2163], (2261, p1, 2284], (2300, p1, 2341)}
s2:            {[262, p2, 297], [301, p2, 321], [330, p2, 401], (444, p2, 473), [495, p2, 517], [556, p2, 620], (665, p2, 762], [795, p2, 886), (893, p2, 916], (930, p2, 993), (1031, p2, 1043], [1075, p2, 1173), (1270, p2, 1336], [1428, p2, 1430], (1480, p2, 1555], [1606, p2, 1609), (1707, p2, 1711], [1743, p2, 1748), [1765, p2, 1781), (1836, p2, 1908]}
union(s1, s2): {(-oo, p1, 33], (104, p1, 192], [252, p1, 330), [330, p2, 401], [412, p1, 482), [495, p2, 517], [556, p2, 620], [659, p1, 665], (665, p2, 748], (748, p1, 795), [795, p2, 886), (893, p2, 916], (930, p2, 940], (940, p1, 1023), (1031, p2, 1043], [1075, p2, 1118), [1118, p1, 1200], [1257, p1, 1265), (1270, p2, 1336], [1393, p1, 1476], (1480, p2, 1555], [1563, p1, 1566), [1606, p2, 1609), (1610, p1, 1663], (1707, p2, 1711], [1743, p2, 1748), (1761, p1, 1826), (1836, p2, 1908], [1932, p1, 1963), (2059, p1, 2061], (2138, p1, 2163], (2261, p1, 2284], (2300, p1, 2341)}
------------------
s1:            {[216, p1, 289], (383, p1, 467), [564, p1, 622), (689, p1, 702], [706, p1, 708), [794, p1, 795), [835, p1, 888], [940, p1, 981], [1053, p1, 1132), (1209, p1, 1261), (1293, p1, 1361), (1363, p1, 1398), [1419, p1, 1460], [1463, p1, 1509], (1535, p1, 1544), [1609, p1, 1687), [1737, p1, 1790), [1870, p1, 1959], (1974, p1, 2046], (2132, p1, 2141], [2189, p1, oo)}
s2:            {(-oo, p2, -61), [25, p2, 58], (60, p2, 95], [102, p2, 120], [196, p2, 231], [312, p2, 355], (444, p2, 448), [516, p2, 607], [624, p2, 718), (724, p2, 768), (865, p2, 960], [963, p2, 1036), [1048, p2, 1077], (1099, p2, 1151], (1208, p2, 1303), [1393, p2, 1433], (1527, p2, 1608], [1630, p2, 1646], (1647, p2, 1675], (1725, p2, 1779], (1829, p2, 1908]}
union(s1, s2): {(-oo, p2, -61), [25, p2, 58], (60, p2, 95], [102, p2, 120], [196, p2, 216), [216, p1, 289], [312, p2, 355], (383, p1, 467), [516, p2, 564), [564, p1, 622), [624, p2, 718), (724, p2, 768), [794, p1, 795), [835, p1, 865], (865, p2, 940), [940, p1, 963), [963, p2, 1036), [1048, p2, 1053), [1053, p1, 1099], (1099, p2, 1151], (1208, p2, 1293], (1293, p1, 1361), (1363, p1, 1393), [1393, p2, 1419), [1419, p1, 1460], [1463, p1, 1509], (1527, p2, 1608], [1609, p1, 1687), (1725, p2, 1737), [1737, p1, 1790), (1829, p2, 1870), [1870, p1, 1959], (1974, p1, 2046], (2132, p1, 2141], [2189, p1, oo)}
------------------
s1:            {(211, p1, 233), (307, p1, 326], (357, p1, 364), (412, p1, 486), [530, p1, 571], (588, p1, 594], [662, p1, 729), [767, p1, 819), [893, p1, 957), (991, p1, 1016], (1019, p1, 1117), [1142, p1, 1168), [1170, p1, 1185), (1254, p1, 1306], (1328, p1, 1399], [1419, p1, 1452), [1499, p1, 1562), (1618, p1, 1647), (1697, p1, 1778), [1812, p1, 1870)}
s2:            {(-74, p2, -7], [68, p2, 87), (149, p2, 199), (273, p2, 299], (391, p2, 447], (475, p2, 507], [579, p2, 658], (756, p2, 776), (869, p2, 873), [932, p2, 984), (1076, p2, 1104], [1170, p2, 1255), (1348, p2, 1447], (1489, p2, 1561), [1657, p2, 1677], (1769, p2, 1842], [1878, p2, 1960], [2051, p2, 2094), (2138, p2, 2173], (2262, p2, 2336]}
union(s1, s2): {(-74, p2, -7], [68, p2, 87), (149, p2, 199), (211, p1, 233), (273, p2, 299], (307, p1, 326], (357, p1, 364), (391, p2, 412], (412, p1, 475], (475, p2, 507], [530, p1, 571], [579, p2, 658], [662, p1, 729), (756, p2, 767), [767, p1, 819), (869, p2, 873), [893, p1, 932), [932, p2, 984), (991, p1, 1016], (1019, p1, 1117), [1142, p1, 1168), [1170, p2, 1254], (1254, p1, 1306], (1328, p1, 1348], (1348, p2, 1419), [1419, p1, 1452), (1489, p2, 1499), [1499, p1, 1562), (1618, p1, 1647), [1657, p2, 1677], (1697, p1, 1769], (1769, p2, 1812), [1812, p1, 1870), [1878, p2, 1960], [2051, p2, 2094), (2138, p2, 2173], (2262, p2, 2336]}
------------------
s1:            {(-oo, p1, 71], [167, p1, 263], [324, p1, 344], (403, p1, 488], [582, p1, 592), [609, p1, 691], (692, p1, 738), [837, p1, 883), (932, p1, 983], [1042, p1, 1060], (1150, p1, 1173), (1243, p1, 1329], (1338, p1, 1359], (1386, p1, 1474], [1513, p1, 1607], [1645, p1, 1682], (1716, p1, 1800], (1849, p1, 1883], [1895, p1, 1940), (2038, p1, 2039), (2052, p1, 2066)}
s2:            {(139, p2, 148), [155, p2, 252], (309, p2, 321), [367, p2, 422], (486, p2, 563), [581, p2, 616], [711, p2, 723), (746, p2, 789), [836, p2, 892), [899, p2, 985), [1007, p2, 1068), [1092, p2, 1151), (1194, p2, 1216], [1268, p2, 1306), (1361, p2, 1414], [1455, p2, 1541), (1542, p2, 1548], (1637, p2, 1681), (1736, p2, 1808), (1860, p2, 1874)}
union(s1, s2): {(-oo, p1, 71], (139, p2, 148), [155, p2, 167), [167, p1, 263], (309, p2, 321), [324, p1, 344], [367, p2, 403], (403, p1, 486], (486, p2, 563), [581, p2, 609), [609, p1, 691], (692, p1, 738), (746, p2, 789), [836, p2, 892), [899, p2, 985), [1007, p2, 1068), [1092, p2, 1150], (1150, p1, 1173), (1194, p2, 1216], (1243, p1, 1329], (1338, p1, 1359], (1361, p2, 1386], (1386, p1, 1455), [1455, p2, 1513), [1513, p1, 1607], (1637, p2, 1645), [1645, p1, 1682], (1716, p1, 1736], (1736, p2, 1808), (1849, p1, 1883], [1895, p1, 1940), (2038, p1, 2039), (2052, p1, 2066)}
------------------
s1:            {(-oo, p1, 111), (172, p1, 264), [335, p1, 403), [415, p1, 443), (475, p1, 498), [504, p1, 525), [546, p1, 556], (596, p1, 675], (744, p1, 794], (887, p1, 964], [980, p1, 1048), (1049, p1, 1073], (1168, p1, 1226], (1240, p1, 1287), (1350, p1, 1394], (1444, p1, 1538), [1589, p1, 1669), (1756, p1, 1792], [1811, p1, 1817], (1822, p1, 1848], [1914, p1, 1951), (2022, p1, oo)}
s2:            {[180, p2, 242), [341, p2, 376), [474, p2, 491], (590, p2, 679), (745, p2, 749], (765, p2, 792), [843, p2, 871], (915, p2, 962], [1036, p2, 1094), (1173, p2, 1208), [1231, p2, 1324], (1363, p2, 1437], (1453, p2, 1529), [1605, p2, 1644], [1726, p2, 1803), [1824, p2, 1895), (1904, p2, 1984), (2070, p2, 2097), [2125, p2, 2167], (2263, p2, 2271), (2317, p2, oo)}
union(s1, s2): {(-oo, p1, 111), (172, p1, 264), [335, p1, 403), [415, p1, 443), [474, p2, 475], (475, p1, 498), [504, p1, 525), [546, p1, 556], (590, p2, 679), (744, p1, 794], [843, p2, 871], (887, p1, 964], [980, p1, 1036), [1036, p2, 1094), (1168, p1, 1226], [1231, p2, 1324], (1350, p1, 1363], (1363, p2, 1437], (1444, p1, 1538), [1589, p1, 1669), [1726, p2, 1803), [1811, p1, 1817], (1822, p1, 1824), [1824, p2, 1895), (1904, p2, 1984), (2022, p1, oo)}
------------------
s1:            {(-183, p1, -87), (-64, p1, -41], [-40, p1, -12), (72, p1, 169], (236, p1, 288], [299, p1, 318], [338, p1, 421), [432, p1, 480), [540, p1, 636), [734, p1, 816), (825, p1, 917), [988, p1, 1046), (1052, p1, 1109), [1198, p1, 1230), (1323, p1, 1385], (1459, p1, 1555], (1621, p1, 1697), (1710, p1, 1761), (1787, p1, 1874), (1923, p1, 1942]}
s2:            {(-oo, p2, -114), [-43, p2, 6), (73, p2, 120), (121, p2, 153), [175, p2, 274], [316, p2, 323), [336, p2, 409], [438, p2, 527], [573, p2, 621], [641, p2, 695), [792, p2, 841], [843, p2, 861], [910, p2, 920), (959, p2, 1042], (1069, p2, 1133), (1185, p2, 1192], (1251, p2, 1321), (1325, p2, 1337), [1374, p2, 1430), (1477, p2, 1483], (1549, p2, 1590), (1683, p2, oo)}
union(s1, s2): {(-oo, p2, -183], (-183, p1, -87), (-64, p1, -43), [-43, p2, 6), (72, p1, 169], [175, p2, 236], (236, p1, 288], [299, p1, 316), [316, p2, 323), [336, p2, 338), [338, p1, 421), [432, p1, 438), [438, p2, 527], [540, p1, 636), [641, p2, 695), [734, p1, 792), [792, p2, 825], (825, p1, 910), [910, p2, 920), (959, p2, 988), [988, p1, 1046), (1052, p1, 1069], (1069, p2, 1133), (1185, p2, 1192], [1198, p1, 1230), (1251, p2, 1321), (1323, p1, 1374), [1374, p2, 1430), (1459, p1, 1549], (1549, p2, 1590), (1621, p1, 1683], (1683, p2, oo)}
------------------
s1:            {[-120, p1, -68), [-24, p1, 54], [94, p1, 146], (245, p1, 318], [391, p1, 429], (499, p1, 541], (545, p1, 638], (733, p1, 742), [799, p1, 831], (835, p1, 867], [933, p1, 941), [1000, p1, 1052), (1109, p1, 1127], [1207, p1, 1280], (1311, p1, 1325], [1376, p1, 1417), (1451, p1, 1545), (1604, p1, 1681), [1713, p1, 1748), (1748, p1, 1799)}
s2:            {(-oo, p2, -151), [-144, p2, -95), (-73, p2, 12], [98, p2, 179), [277, p2, 362], (424, p2, 456], [475, p2, 542), (617, p2, 623), (710, p2, 720), [743, p2, 791), [818, p2, 858], [957, p2, 958), [978, p2, 1066), [1134, p2, 1206], (1236, p2, 1253], [1313, p2, 1329), [1394, p2, 1399), (1441, p2, 1463], (1522, p2, 1558), [1628, p2, 1723], [1814, p2, 1876], (1907, p2, oo)}
union(s1, s2): {(-oo, p2, -151), [-144, p2, -120), [-120, p1, -73], (-73, p2, -24), [-24, p1, 54], [94, p1, 98), [98, p2, 179), (245, p1, 277), [277, p2, 362], [391, p1, 424], (424, p2, 456], [475, p2, 542), (545, p1, 638], (710, p2, 720), (733, p1, 742), [743, p2, 791), [799, p1, 818), [818, p2, 835], (835, p1, 867], [933, p1, 941), [957, p2, 958), [978, p2, 1066), (1109, p1, 1127], [1134, p2, 1206], [1207, p1, 1280], (1311, p1, 1313), [1313, p2, 1329), [1376, p1, 1417), (1441, p2, 1451], (1451, p1, 1522], (1522, p2, 1558), (1604, p1, 1628), [1628, p2, 1713), [1713, p1, 1748), (1748, p1, 1799), [1814, p2, 1876], (1907, p2, oo)}
------------------
s1:            {(-oo, p1, 19], [37, p1, 87], (130, p1, 150), (211, p1, 296), (357, p1, 360], (368, p1, 393), [486, p1, 583), (673, p1, 736), (766, p1, 778], (829, p1, 849), [898, p1, 911), (926, p1, 1004), [1020, p1, 1115], [1124, p1, 1217), (1230, p1, 1238), [1294, p1, 1328], (1416, p1, 1439], [1500, p1, 1587], (1628, p1, 1652], [1680, p1, 1725], (1797, p1, 1887]}
s2:            {(-oo, p2, 196], [209, p2, 257), (349, p2, 351], [393, p2, 486], [521, p2, 524], (545, p2, 563), [651, p2, 659], (693, p2, 785], (856, p2, 945], [1036, p2, 1076), (1081, p2, 1149), (1217, p2, 1259], [1311, p2, 1332], (1388, p2, 1467], [1472, p2, 1516], [1601, p2, 1656], (1745, p2, 1796], (1800, p2, 1839), [1912, p2, 1949], [1975, p2, 1983], (2077, p2, 2141], [2187, p2, oo)}
union(s1, s2): {(-oo, p2, 196], [209, p2, 211], (211, p1, 296), (349, p2, 351], (357, p1, 360], (368, p1, 393), [393, p2, 486), [486, p1, 583), [651, p2, 659], (673, p1, 693], (693, p2, 785], (829, p1, 849), (856, p2, 926], (926, p1, 1004), [1020, p1, 1081], (1081, p2, 1124), [1124, p1, 1217), (1217, p2, 1259], [1294, p1, 1311), [1311, p2, 1332], (1388, p2, 1467], [1472, p2, 1500), [1500, p1, 1587], [1601, p2, 1656], [1680, p1, 1725], (1745, p2, 1796], (1797, p1, 1887], [1912, p2, 1949], [1975, p2, 1983], (2077, p2, 2141], [2187, p2, oo)}
------------------
s1:            {[189, p1, 222), [272, p1, 304), [358, p1, 412), (433, p1, 439), [525, p1, 548), (602, p1, 664], [673, p1, 717), (781, p1, 857], [864, p1, 898], [992, p1, 1075), [1093, p1, 1124), (1157, p1, 1182], (1260, p1, 1309), [1330, p1, 1406), [1429, p1, 1508], (1529, p1, 1606), [1608, p1, 1643), (1689, p1, 1762], [1786, p1, 1840]}
s2:            {(184, p2, 237), (297, p2, 396], [412, p2, 419], (470, p2, 479], [548, p2, 555), (626, p2, 702], (710, p2, 795], [819, p2, 832), (885, p2, 890), (895, p2, 947), [955, p2, 1016), (1115, p2, 1154], (1221, p2, 1237), [1262, p2, 1331], [1341, p2, 1402], [1484, p2, 1492], [1527, p2, 1528], (1539, p2, 1563), (1573, p2, 1594], (1651, p2, 1708]}
union(s1, s2): {(184, p2, 237), [272, p1, 297], (297, p2, 358), [358, p1, 412), [412, p2, 419], (433, p1, 439), (470, p2, 479], [525, p1, 548), [548, p2, 555), (602, p1, 626], (626, p2, 673), [673, p1, 710], (710, p2, 781], (781, p1, 857], [864, p1, 895], (895, p2, 947), [955, p2, 992), [992, p1, 1075), [1093, p1, 1115], (1115, p2, 1154], (1157, p1, 1182], (1221, p2, 1237), (1260, p1, 1262), [1262, p2, 1330), [1330, p1, 1406), [1429, p1, 1508], [1527, p2, 1528], (1529, p1, 1606), [1608, p1, 1643), (1651, p2, 1689], (1689, p1, 1762], [1786, p1, 1840]}
------------------
s1:            {(42, p1, 110], [194, p1, 271], (350, p1, 425), [467, p1, 531], (590, p1, 608), (608, p1, 653), (743, p1, 793), (852, p1, 887], [911, p1, 971), (975, p1, 985], (1077, p1, 1103), (1157, p1, 1194], (1218, p1, 1255), [1296, p1, 1322], [1411, p1, 1449], (1480, p1, 1573], (1657, p1, 1722], [1753, p1, 1786], (1822, p1, 1855), [1944, p1, 1977)}
s2:            {[12, p2, 107), [168, p2, 168], [264, p2, 284], [300, p2, 378), (411, p2, 502], (523, p2, 619], (718, p2, 719), [815, p2, 896], (904, p2, 905], (909, p2, 950], (965, p2, 997], [1067, p2, 1111], [1171, p2, 1201), (1251, p2, 1277), (1364, p2, 1420], (1484, p2, 1505), (1587, p2, 1658), (1722, p2, 1788], [1799, p2, 1895), [1953, p2, 1977), [2048, p2, oo)}
union(s1, s2): {[12, p2, 42], (42, p1, 110], [168, p2, 168], [194, p1, 264), [264, p2, 284], [300, p2, 350], (350, p1, 411], (411, p2, 467), [467, p1, 523], (523, p2, 608], (608, p1, 653), (718, p2, 719), (743, p1, 793), [815, p2, 896], (904, p2, 905], (909, p2, 911), [911, p1, 965], (965, p2, 997], [1067, p2, 1111], (1157, p1, 1171), [1171, p2, 1201), (1218, p1, 1251], (1251, p2, 1277), [1296, p1, 1322], (1364, p2, 1411), [1411, p1, 1449], (1480, p1, 1573], (1587, p2, 1657], (1657, p1, 1722], (1722, p2, 1788], [1799, p2, 1895), [1944, p1, 1977), [2048, p2, oo)}
------------------
s1:            {(-oo, p1, -52], [-36, p1, -11), (22, p1, 108], [147, p1, 166], (249, p1, 257), [331, p1, 375), [420, p1, 517], [535, p1, 580], [663, p1, 668), [684, p1, 704), [734, p1, 785], (802, p1, 858], [895, p1, 948], [968, p1, 1007], [1106, p1, 1156), (1156, p1, 1166], [1181, p1, 1239], (1306, p1, 1382), (1401, p1, 1463], [1519, p1, 1543], [1637, p1, 1659)}
s2:            {(-oo, p2, 3), [60, p2, 110], [117, p2, 186), (230, p2, 255), (281, p2, 319], (383, p2, 456], (471, p2, 541], (592, p2, 628), [664, p2, 731], (802, p2, 888), [946, p2, 1004], (1027, p2, 1118], [1211, p2, 1232], (1247, p2, 1305), (1323, p2, 1350), (1374, p2, 1462], [1488, p2, 1579), [1665, p2, 1748), [1798, p2, 1879], (1976, p2, 1995], (1996, p2, 2049), [2102, p2, oo)}
union(s1, s2): {(-oo, p2, 3), (22, p1, 60), [60, p2, 110], [117, p2, 186), (230, p2, 249], (249, p1, 257), (281, p2, 319], [331, p1, 375), (383, p2, 420), [420, p1, 471], (471, p2, 535), [535, p1, 580], (592, p2, 628), [663, p1, 664), [664, p2, 731], [734, p1, 785], (802, p2, 888), [895, p1, 946), [946, p2, 968), [968, p1, 1007], (1027, p2, 1106), [1106, p1, 1156), (1156, p1, 1166], [1181, p1, 1239], (1247, p2, 1305), (1306, p1, 1374], (1374, p2, 1401], (1401, p1, 1463], [1488, p2, 1579), [1637, p1, 1659), [1665, p2, 1748), [1798, p2, 1879], (1976, p2, 1995], (1996, p2, 2049), [2102, p2, oo)}
------------------
s1:            {(-oo, p1, 114], [133, p1, 231], (241, p1, 323], [391, p1, 439), (457, p1, 485), [503, p1, 587), [596, p1, 627], (636, p1, 657), [735, p1, 780], [809, p1, 889], [920, p1, 952], (973, p1, 982), [994, p1, 1028], (1055, p1, 1130], [1224, p1, 1250), [1287, p1, 1335], (1408, p1, 1493), (1544, p1, 1563), (1582, p1, 1584], (1634, p1, 1666), (1713, p1, 1716)}
s2:            {(159, p2, 170], [243, p2, 301], [359, p2, 449], [510, p2, 605), (641, p2, 647], [711, p2, 751), [814, p2, 894), [905, p2, 1045], (1116, p2, 1159), (1211, p2, 1304), [1329, p2, 1338), [1346, p2, 1367), (1367, p2, 1381), [1403, p2, 1421], [1422, p2, 1459), (1538, p2, 1585], (1599, p2, 1600), (1631, p2, 1668), (1680, p2, 1702)}
union(s1, s2): {(-oo, p1, 114], [133, p1, 231], (241, p1, 323], [359, p2, 449], (457, p1, 485), [503, p1, 510), [510, p2, 596), [596, p1, 627], (636, p1, 657), [711, p2, 735), [735, p1, 780], [809, p1, 814), [814, p2, 894), [905, p2, 1045], (1055, p1, 1116], (1116, p2, 1159), (1211, p2, 1287), [1287, p1, 1329), [1329, p2, 1338), [1346, p2, 1367), (1367, p2, 1381), [1403, p2, 1408], (1408, p1, 1493), (1538, p2, 1585], (1599, p2, 1600), (1631, p2, 1668), (1680, p2, 1702), (1713, p1, 1716)}
------------------
s1:            {[17, p1, 48), (139, p1, 226), [280, p1, 378), (417, p1, 437), [506, p1, 562), (600, p1, 618), (689, p1, 721), (731, p1, 805], [871, p1, 945), [1029, p1, 1029], [1089, p1, 1105], [1166, p1, 1235), [1256, p1, 1334), [1399, p1, 1478], (1571, p1, 1649), (1671, p1, 1686), [1725, p1, 1726), (1799, p1, 1808), [1867, p1, 1931), (2013, p1, 2014)}
s2:            {(-41, p2, 27), (36, p2, 76], (104, p2, 142], [163, p2, 200), (225, p2, 309], (312, p2, 373), (428, p2, 498), [577, p2, 659], (758, p2, 778), (827, p2, 953), (1034, p2, 1084], (1112, p2, 1120], [1136, p2, 1164), [1261, p2, 1358), (1386, p2, 1464], [1520, p2, 1617), [1669, p2, 1738), (1775, p2, 1869], (1939, p2, 1994], (2026, p2, oo)}
union(s1, s2): {(-41, p2, 17), [17, p1, 36], (36, p2, 76], (104, p2, 139], (139, p1, 225], (225, p2, 280), [280, p1, 378), (417, p1, 428], (428, p2, 498), [506, p1, 562), [577, p2, 659], (689, p1, 721), (731, p1, 805], (827, p2, 953), [1029, p1, 1029], (1034, p2, 1084], [1089, p1, 1105], (1112, p2, 1120], [1136, p2, 1164), [1166, p1, 1235), [1256, p1, 1261), [1261, p2, 1358), (1386, p2, 1399), [1399, p1, 1478], [1520, p2, 1571], (1571, p1, 1649), [1669, p2, 1738), (1775, p2, 1867), [1867, p1, 1931), (1939, p2, 1994], (2013, p1, 2014), (2026, p2, oo)}
------------------
s1:            {(-oo, p1, 166], (202, p1, 237], [238, p1, 241], [279, p1, 330], [428, p1, 470], [556, p1, 611), [630, p1, 662), (701, p1, 714], (787, p1, 873), [883, p1, 892), [898, p1, 929), [1017, p1, 1074], [1135, p1, 1175), [1264, p1, 1316], [1371, p1, 1379), [1457, p1, 1499], (1503, p1, 1519], [1559, p1, 1567], (1593, p1, 1625], [1715, p1, 1808], [1885, p1, 1910], (1980, p1, oo)}
s2:            {(-oo, p2, -20), [-10, p2, 31], (69, p2, 90], [136, p2, 212], [223, p2, 285), (303, p2, 360), [457, p2, 512], (532, p2, 595), [687, p2, 691), [726, p2, 751), [828, p2, 830], (925, p2, 939], (953, p2, 1031], (1073, p2, 1077], (1137, p2, 1160], [1212, p2, 1234], (1285, p2, 1324), (1348, p2, 1382), [1419, p2, 1481], (1538, p2, 1593], (1625, p2, 1646)}
union(s1, s2): {(-oo, p1, 136), [136, p2, 202], (202, p1, 223), [223, p2, 279), [279, p1, 303], (303, p2, 360), [428, p1, 457), [457, p2, 512], (532, p2, 556), [556, p1, 611), [630, p1, 662), [687, p2, 691), (701, p1, 714], [726, p2, 751), (787, p1, 873), [883, p1, 892), [898, p1, 925], (925, p2, 939], (953, p2, 1017), [1017, p1, 1073], (1073, p2, 1077], [1135, p1, 1175), [1212, p2, 1234], [1264, p1, 1285], (1285, p2, 1324), (1348, p2, 1382), [1419, p2, 1457), [1457, p1, 1499], (1503, p1, 1519], (1538, p2, 1593], (1593, p1, 1625], (1625, p2, 1646), [1715, p1, 1808], [1885, p1, 1910], (1980, p1, oo)}
------------------
s1:            {(210, p1, 241], [340, p1, 367), [448, p1, 545], [566, p1, 659], [714, p1, 777), (832, p1, 850), [931, p1, 999), (1026, p1, 1032), [1127, p1, 1199], [1272, p1, 1339], (1359, p1, 1429), [1444, p1, 1486], [1493, p1, 1522], (1530, p1, 1542), (1591, p1, 1592), [1664, p1, 1714), [1755, p1, 1800], [1897, p1, 1986), [2068, p1, 2082], [2119, p1, 2214)}
s2:            {(-2, p2, 0], (71, p2, 103], (186, p2, 231], (253, p2, 341], [413, p2, 496), [548, p2, 607), (645, p2, 684), [732, p2, 795], (828, p2, 882), [962, p2, 984], [1030, p2, 1084], [1154, p2, 1189], [1197, p2, 1216], (1272, p2, 1316), (1356, p2, 1409], [1430, p2, 1488], [1493, p2, 1521), [1602, p2, 1645), [1731, p2, 1818], (1891, p2, 1967)}
union(s1, s2): {(-2, p2, 0], (71, p2, 103], (186, p2, 210], (210, p1, 241], (253, p2, 340), [340, p1, 367), [413, p2, 448), [448, p1, 545], [548, p2, 566), [566, p1, 645], (645, p2, 684), [714, p1, 732), [732, p2, 795], (828, p2, 882), [931, p1, 999), (1026, p1, 1030), [1030, p2, 1084], [1127, p1, 1197), [1197, p2, 1216], [1272, p1, 1339], (1356, p2, 1359], (1359, p1, 1429), [1430, p2, 1488], [1493, p1, 1522], (1530, p1, 1542), (1591, p1, 1592), [1602, p2, 1645), [1664, p1, 1714), [1731, p2, 1818], (1891, p2, 1897), [1897, p1, 1986), [2068, p1, 2082], [2119, p1, 2214)}
------------------
s1:            {[109, p1, 137], [208, p1, 248), [293, p1, 388], [443, p1, 476), [574, p1, 672), (726, p1, 737), (800, p1, 886], (966, p1, 1064], (1100, p1, 1117), [1216, p1, 1308), (1321, p1, 1353], [1395, p1, 1476), (1557, p1, 1589], [1607, p1, 1628], [1694, p1, 1735], [1824, p1, 1840), [1875, p1, 1885), (1946, p1, 2024), [2058, p1, 2094), (2188, p1, 2263]}
s2:            {(-oo, p2, 206), [219, p2, 261], [343, p2, 408), [445, p2, 454], (529, p2, 585), (595, p2, 613), [670, p2, 704], (709, p2, 759], [768, p2, 805], (883, p2, 907), (941, p2, 956), (970, p2, 982], (1007, p2, 1090), [1113, p2, 1201), (1258, p2, 1261), (1280, p2, 1283], [1295, p2, 1312), (1380, p2, 1429], (1457, p2, 1474), [1568, p2, 1640), (1659, p2, 1673], (1732, p2, oo)}
union(s1, s2): {(-oo, p2, 206), [208, p1, 219), [219, p2, 261], [293, p1, 343), [343, p2, 408), [443, p1, 476), (529, p2, 574), [574, p1, 670), [670, p2, 704], (709, p2, 759], [768, p2, 800], (800, p1, 883], (883, p2, 907), (941, p2, 956), (966, p1, 1007], (1007, p2, 1090), (1100, p1, 1113), [1113, p2, 1201), [1216, p1, 1295), [1295, p2, 1312), (1321, p1, 1353], (1380, p2, 1395), [1395, p1, 1476), (1557, p1, 1568), [1568, p2, 1640), (1659, p2, 1673], [1694, p1, 1732], (1732, p2, oo)}
------------------
s1:            {(-oo, p1, 30], [109, p1, 136], (158, p1, 241], (327, p1, 423), (474, p1, 519), [552, p1, 637], (671, p1, 728], [796, p1, 888], (980, p1, 1076], (1085, p1, 1088], (1122, p1, 1200], (1204, p1, 1209), (1267, p1, 1306), (1327, p1, 1382], [1440, p1, 1495], (1528, p1, 1593), [1649, p1, 1732), [1829, p1, 1875], (1907, p1, 1977], [2074, p1, 2137), (2218, p1, 2298)}
s2:            {(-oo, p2, 172), (210, p2, 271], [358, p2, 388], (464, p2, 528), [581, p2, 651], (689, p2, 701), (772, p2, 867], [915, p2, 979], [1006, p2, 1102], (1144, p2, 1180], (1218, p2, 1259), (1287, p2, 1313], [1392, p2, 1401], (1475, p2, 1551], [1571, p2, 1612], [1613, p2, 1697), [1736, p2, 1763], (1844, p2, 1870), (1928, p2, 1976], (1978, p2, 2071], (2147, p2, 2201]}
union(s1, s2): {(-oo, p2, 158], (158, p1, 210], (210, p2, 271], (327, p1, 423), (464, p2, 528), [552, p1, 581), [581, p2, 651], (671, p1, 728], (772, p2, 796), [796, p1, 888], [915, p2, 979], (980, p1, 1006), [1006, p2, 1102], (1122, p1, 1200], (1204, p1, 1209), (1218, p2, 1259), (1267, p1, 1287], (1287, p2, 1313], (1327, p1, 1382], [1392, p2, 1401], [1440, p1, 1475], (1475, p2, 1528], (1528, p1, 1571), [1571, p2, 1612], [1613, p2, 1649), [1649, p1, 1732), [1736, p2, 1763], [1829, p1, 1875], (1907, p1, 1977], (1978, p2, 2071], [2074, p1, 2137), (2147, p2, 2201], (2218, p1, 2298)}
------------------
s1:            {[-135, p1, -37), (33, p1, 74), (86, p1, 113), [200, p1, 217], (300, p1, 316), [365, p1, 403), [450, p1, 475], (566, p1, 582], (616, p1, 670], (757, p1, 773), [833, p1, 931], [999, p1, 1052], [1085, p1, 1160), [1196, p1, 1288], (1339, p1, 1403], [1485, p1, 1582], (1607, p1, 1706), [1763, p1, 1779), (1816, p1, 1908), (1947, p1, 2020), (2080, p1, oo)}
s2:            {(-oo, p2, -101], [-98, p2, -66], [7, p2, 63), [144, p2, 216), [231, p2, 239), (248, p2, 300], (373, p2, 418), (488, p2, 517], (576, p2, 583), (618, p2, 693), [745, p2, 805], (816, p2, 823), (882, p2, 925], [986, p2, 991), [1067, p2, 1105), [1157, p2, 1159), [1224, p2, 1287], (1352, p2, 1379), [1396, p2, 1411], [1502, p2, 1550), (1602, p2, 1608]}
union(s1, s2): {(-oo, p2, -135), [-135, p1, -37), [7, p2, 33], (33, p1, 74), (86, p1, 113), [144, p2, 200), [200, p1, 217], [231, p2, 239), (248, p2, 300], (300, p1, 316), [365, p1, 373], (373, p2, 418), [450, p1, 475], (488, p2, 517], (566, p1, 576], (576, p2, 583), (616, p1, 618], (618, p2, 693), [745, p2, 805], (816, p2, 823), [833, p1, 931], [986, p2, 991), [999, p1, 1052], [1067, p2, 1085), [1085, p1, 1160), [1196, p1, 1288], (1339, p1, 1396), [1396, p2, 1411], [1485, p1, 1582], (1602, p2, 1607], (1607, p1, 1706), [1763, p1, 1779), (1816, p1, 1908), (1947, p1, 2020), (2080, p1, oo)}
------------------
s1:            {[263, p1, 359], [393, p1, 486], (531, p1, 549], [639, p1, 738], (785, p1, 816], (906, p1, 1001], [1091, p1, 1139), (1197, p1, 1257], (1342, p1, 1353), [1407, p1, 1437], (1470, p1, 1509], (1573, p1, 1655], (1714, p1, 1761), [1795, p1, 1857], [1886, p1, 1914), (1956, p1, 2050), (2087, p1, 2102), [2126, p1, 2198), (2278, p1, 2374], [2454, p1, 2548], (2585, p1, oo)}
s2:            {[82, p2, 110], (197, p2, 250], [299, p2, 365), (390, p2, 459), [493, p2, 535], (615, p2, 694], (780, p2, 816), [909, p2, 1005], [1036, p2, 1128], [1139, p2, 1222], (1315, p2, 1374), [1446, p2, 1520), (1615, p2, 1636), [1673, p2, 1763), (1775, p2, 1871], [1930, p2, 1945), [1975, p2, 2038), (2040, p2, 2077], [2143, p2, 2195], (2209, p2, 2267)}
union(s1, s2): {[82, p2, 110], (197, p2, 250], [263, p1, 299), [299, p2, 365), (390, p2, 393), [393, p1, 486], [493, p2, 531], (531, p1, 549], (615, p2, 639), [639, p1, 738], (780, p2, 785], (785, p1, 816], (906, p1, 909), [909, p2, 1005], [1036, p2, 1091), [1091, p1, 1139), [1139, p2, 1197], (1197, p1, 1257], (1315, p2, 1374), [1407, p1, 1437], [1446, p2, 1520), (1573, p1, 1655], [1673, p2, 1763), (1775, p2, 1871], [1886, p1, 1914), [1930, p2, 1945), (1956, p1, 2040], (2040, p2, 2077], (2087, p1, 2102), [2126, p1, 2198), (2209, p2, 2267), (2278, p1, 2374], [2454, p1, 2548], (2585, p1, oo)}
------------------
s1:            {(198, p1, 227), [312, p1, 406), [499, p1, 597], [646, p1, 734), (740, p1, 825), (882, p1, 958), [1029, p1, 1086], (1127, p1, 1187), (1248, p1, 1289), [1326, p1, 1387), (1426, p1, 1522], (1578, p1, 1606], (1659, p1, 1695], [1789, p1, 1856], (1905, p1, 1935], [2022, p1, 2099], [2124, p1, 2165), [2243, p1, 2316], [2378, p1, 2401), (2407, p1, 2415]}
s2:            {(10, p2, 39], [41, p2, 134], [225, p2, 253), [297, p2, 381), (463, p2, 523), (607, p2, 627], (668, p2, 700), (715, p2, 765], (813, p2, 845], (921, p2, 923], [1010, p2, 1106], (1203, p2, 1215), [1289, p2, 1324), (1343, p2, 1395], [1473, p2, 1501], (1510, p2, 1554), [1560, p2, 1596], [1662, p2, 1716), [1731, p2, 1786], [1872, p2, 1968], (2023, p2, oo)}
union(s1, s2): {(10, p2, 39], [41, p2, 134], (198, p1, 225), [225, p2, 253), [297, p2, 312), [312, p1, 406), (463, p2, 499), [499, p1, 597], (607, p2, 627], [646, p1, 715], (715, p2, 740], (740, p1, 813], (813, p2, 845], (882, p1, 958), [1010, p2, 1106], (1127, p1, 1187), (1203, p2, 1215), (1248, p1, 1289), [1289, p2, 1324), [1326, p1, 1343], (1343, p2, 1395], (1426, p1, 1510], (1510, p2, 1554), [1560, p2, 1578], (1578, p1, 1606], (1659, p1, 1662), [1662, p2, 1716), [1731, p2, 1786], [1789, p1, 1856], [1872, p2, 1968], [2022, p1, 2023], (2023, p2, oo)}
------------------
s1:            {(-oo, p1, -165], (-79, p1, -35], [29, p1, 58), (82, p1, 172], [219, p1, 239], (260, p1, 261), (305, p1, 383], (463, p1, 510], [546, p1, 616], (621, p1, 690), [700, p1, 719], [792, p1, 843), (916, p1, 1005), [1018, p1, 1071], (1094, p1, 1144], (1209, p1, 1301], (1377, p1, 1378], [1451, p1, 1478), (1571, p1, 1615], [1667, p1, 1761)}
s2:            {[145, p2, 197], [281, p2, 337], (387, p2, 414], [433, p2, 464], (511, p2, 540), (572, p2, 657], [720, p2, 811], (820, p2, 896], (915, p2, 969], [996, p2, 1069], [1116, p2, 1118], [1145, p2, 1209], [1255, p2, 1339], (1368, p2, 1441], [1465, p2, 1510], (1519, p2, 1601), (1687, p2, 1719], (1816, p2, 1830], (1840, p2, 1892], [1933, p2, 1981)}
union(s1, s2): {(-oo, p1, -165], (-79, p1, -35], [29, p1, 58), (82, p1, 145), [145, p2, 197], [219, p1, 239], (260, p1, 261), [281, p2, 305], (305, p1, 383], (387, p2, 414], [433, p2, 463], (463, p1, 510], (511, p2, 540), [546, p1, 572], (572, p2, 621], (621, p1, 690), [700, p1, 719], [720, p2, 792), [792, p1, 820], (820, p2, 896], (915, p2, 916], (916, p1, 996), [996, p2, 1018), [1018, p1, 1071], (1094, p1, 1144], [1145, p2, 1209], (1209, p1, 1255), [1255, p2, 1339], (1368, p2, 1441], [1451, p1, 1465), [1465, p2, 1510], (1519, p2, 1571], (1571, p1, 1615], [1667, p1, 1761), (1816, p2, 1830], (1840, p2, 1892], [1933, p2, 1981)}
------------------
s1:            {(-oo, p1, -135], (-86, p1, -67), (-51, p1, -7], [15, p1, 108), (190, p1, 237], [265, p1, 364], [427, p1, 515), (541, p1, 569], [639, p1, 663), (746, p1, 788), (825, p1, 914), (958, p1, 990], (1021, p1, 1087], [1089, p1, 1139], (1214, p1, 1267], [1318, p1, 1382), (1462, p1, 1554], [1570, p1, 1613), (1672, p1, 1733], [1807, p1, 1810], (1834, p1, 1928], [1983, p1, oo)}
s2:            {(132, p2, 152), (224, p2, 287], [353, p2, 425], (523, p2, 584), (668, p2, 691], (697, p2, 761], [833, p2, 873], [967, p2, 1066), [1140, p2, 1161), [1170, p2, 1212], (1213, p2, 1296), [1360, p2, 1396), [1407, p2, 1423), (1444, p2, 1513), (1583, p2, 1676], (1740, p2, 1770], (1835, p2, 1847], [1924, p2, 1988], (2005, p2, 2007], [2083, p2, 2175]}
union(s1, s2): {(-oo, p1, -135], (-86, p1, -67), (-51, p1, -7], [15, p1, 108), (132, p2, 152), (190, p1, 224], (224, p2, 265), [265, p1, 353), [353, p2, 425], [427, p1, 515), (523, p2, 584), [639, p1, 663), (668, p2, 691], (697, p2, 746], (746, p1, 788), (825, p1, 914), (958, p1, 967), [967, p2, 1021], (1021, p1, 1087], [1089, p1, 1139], [1140, p2, 1161), [1170, p2, 1212], (1213, p2, 1296), [1318, p1, 1360), [1360, p2, 1396), [1407, p2, 1423), (1444, p2, 1462], (1462, p1, 1554], [1570, p1, 1583], (1583, p2, 1672], (1672, p1, 1733], (1740, p2, 1770], [1807, p1, 1810], (1834, p1, 1924), [1924, p2, 1983), [1983, p1, oo)}
------------------
s1:            {(-oo, p1, -49], (49, p1, 139), (200, p1, 299], (360, p1, 421), (441, p1, 442), (455, p1, 541], [555, p1, 637], [691, p1, 757), (836, p1, 926), [992, p1, 1065), [1150, p1, 1230], (1264, p1, 1289), (1376, p1, 1450), [1524, p1, 1552), (1637, p1, 1639], [1679, p1, 1776], (1874, p1, 1918), (1943, p1, 2018), [2076, p1, 2137), (2221, p1, 2223], (2259, p1, 2325)}
s2:            {(182, p2, 279], (337, p2, 408), (487, p2, 534], (629, p2, 684), (754, p2, 805), (856, p2, 903], (990, p2, 997], [1065, p2, 1088), (1140, p2, 1152], [1236, p2, 1272), [1294, p2, 1331), [1395, p2, 1467), [1471, p2, 1490], [1523, p2, 1582), (1661, p2, 1681), [1703, p2, 1780), [1787, p2, 1799], [1862, p2, 1943), [1979, p2, 2013], (2043, p2, 2067]}
union(s1, s2): {(-oo, p1, -49], (49, p1, 139), (182, p2, 200], (200, p1, 299], (337, p2, 360], (360, p1, 421), (441, p1, 442), (455, p1, 541], [555, p1, 629], (629, p2, 684), [691, p1, 754], (754, p2, 805), (836, p1, 926), (990, p2, 992), [992, p1, 1065), [1065, p2, 1088), (1140, p2, 1150), [1150, p1, 1230], [1236, p2, 1264], (1264, p1, 1289), [1294, p2, 1331), (1376, p1, 1395), [1395, p2, 1467), [1471, p2, 1490], [1523, p2, 1582), (1637, p1, 1639], (1661, p2, 1679), [1679, p1, 1703), [1703, p2, 1780), [1787, p2, 1799], [1862, p2, 1943), (1943, p1, 2018), (2043, p2, 2067], [2076, p1, 2137), (2221, p1, 2223], (2259, p1, 2325)}
------------------
s1:            {(-70, p1, -49), [16, p1, 90), [172, p1, 197), (231, p1, 278), (296, p1, 393], [457, p1, 531], [547, p1, 598], [694, p1, 792], (822, p1, 881), (938, p1, 955], [1028, p1, 1055), (1135, p1, 1156], [1201, p1, 1271], (1305, p1, 1348), [1406, p1, 1408], (1476, p1, 1567], [1610, p1, 1673], [1735, p1, 1818), (1888, p1, 1943), (1976, p1, 2015), (2051, p1, oo)}
s2:            {[-45, p2, 41), (101, p2, 171), [253, p2, 256), [326, p2, 391], [399, p2, 447], [525, p2, 590), [666, p2, 726), (727, p2, 781], (809, p2, 820), [843, p2, 918), (1008, p2, 1032), [1083, p2, 1098), (1186, p2, 1233), [1283, p2, 1293), [1322, p2, 1378], [1426, p2, 1475], (1478, p2, 1500), (1562, p2, 1660], (1723, p2, 1804), [1866, p2, 1935), (1948, p2, oo)}
union(s1, s2): {(-70, p1, -49), [-45, p2, 16), [16, p1, 90), (101, p2, 171), [172, p1, 197), (231, p1, 278), (296, p1, 393], [399, p2, 447], [457, p1, 525), [525, p2, 547), [547, p1, 598], [666, p2, 694), [694, p1, 792], (809, p2, 820), (822, p1, 843), [843, p2, 918), (938, p1, 955], (1008, p2, 1028), [1028, p1, 1055), [1083, p2, 1098), (1135, p1, 1156], (1186, p2, 1201), [1201, p1, 1271], [1283, p2, 1293), (1305, p1, 1322), [1322, p2, 1378], [1406, p1, 1408], [1426, p2, 1475], (1476, p1, 1562], (1562, p2, 1610), [1610, p1, 1673], (1723, p2, 1735), [1735, p1, 1818), [1866, p2, 1888], (1888, p1, 1943), (1948, p2, oo)}
------------------
s1:            {(-oo, p1, 106), (108, p1, 168), [228, p1, 230], [251, p1, 284], (327, p1, 420], (457, p1, 534], [605, p1, 609], (689, p1, 736], [796, p1, 819), (917, p1, 977), (1068, p1, 1070], [1153, p1, 1156], (1239, p1, 1320], [1376, p1, 1413), [1504, p1, 1556), [1638, p1, 1699], [1764, p1, 1812), (1853, p1, 1867), (1948, p1, 2012], (2018, p1, 2042], (2127, p1, 2156)}
s2:            {(-oo, p2, 137], (231, p2, 302), [337, p2, 338), (339, p2, 387], [419, p2, 459], [507, p2, 598], [602, p2, 670), (759, p2, 781], [794, p2, 807), [906, p2, 987], [1027, p2, 1061], (1115, p2, 1163], [1187, p2, 1188], [1215, p2, 1278], [1322, p2, 1327], (1353, p2, 1354), (1430, p2, 1489], (1499, p2, 1592], (1600, p2, 1614], [1642, p2, 1702], (1728, p2, 1813], (1893, p2, oo)}
union(s1, s2): {(-oo, p2, 108], (108, p1, 168), [228, p1, 230], (231, p2, 302), (327, p1, 419), [419, p2, 457], (457, p1, 507), [507, p2, 598], [602, p2, 670), (689, p1, 736], (759, p2, 781], [794, p2, 796), [796, p1, 819), [906, p2, 987], [1027, p2, 1061], (1068, p1, 1070], (1115, p2, 1163], [1187, p2, 1188], [1215, p2, 1239], (1239, p1, 1320], [1322, p2, 1327], (1353, p2, 1354), [1376, p1, 1413), (1430, p2, 1489], (1499, p2, 1592], (1600, p2, 1614], [1638, p1, 1642), [1642, p2, 1702], (1728, p2, 1813], (1853, p1, 1867), (1893, p2, oo)}
------------------
s1:            {[-118, p1, -102], (-40, p1, 6], (98, p1, 120], [182, p1, 258), [338, p1, 360), (442, p1, 499), (592, p1, 675), (725, p1, 760], [839, p1, 897), (936, p1, 1026), [1068, p1, 1140], (1183, p1, 1184], [1275, p1, 1312], [1395, p1, 1458), (1536, p1, 1540], [1550, p1, 1590], (1621, p1, 1678], (1745, p1, 1754], (1833, p1, 1863], [1921, p1, 1928], [2022, p1, oo)}
s2:            {(-oo, p2, 223), [249, p2, 251), [333, p2, 427), (498, p2, 570), [621, p2, 631], (695, p2, 724], (809, p2, 835], [898, p2, 991), [1013, p2, 1068), (1148, p2, 1195], [1287, p2, 1363), [1459, p2, 1495), [1536, p2, 1537), [1632, p2, 1694], (1697, p2, 1728], (1787, p2, 1798], (1804, p2, 1857], (1933, p2, 2009), (2082, p2, 2168], [2219, p2, 2285], [2377, p2, 2378), (2410, p2, oo)}
union(s1, s2): {(-oo, p2, 182), [182, p1, 258), [333, p2, 427), (442, p1, 498], (498, p2, 570), (592, p1, 675), (695, p2, 724], (725, p1, 760], (809, p2, 835], [839, p1, 897), [898, p2, 936], (936, p1, 1013), [1013, p2, 1068), [1068, p1, 1140], (1148, p2, 1195], [1275, p1, 1287), [1287, p2, 1363), [1395, p1, 1458), [1459, p2, 1495), [1536, p2, 1536], (1536, p1, 1540], [1550, p1, 1590], (1621, p1, 1632), [1632, p2, 1694], (1697, p2, 1728], (1745, p1, 1754], (1787, p2, 1798], (1804, p2, 1833], (1833, p1, 1863], [1921, p1, 1928], (1933, p2, 2009), [2022, p1, oo)}
------------------
s1:            {(145, p1, 191), (254, p1, 302], (325, p1, 346), (379, p1, 409], [471, p1, 545), (571, p1, 647], (688, p1, 769], [779, p1, 862], [918, p1, 981], [1066, p1, 1107], [1199, p1, 1281), (1326, p1, 1380], [1478, p1, 1561), (1585, p1, 1621), [1669, p1, 1747], (1827, p1, 1891], (1968, p1, 1989), [2018, p1, 2109), [2164, p1, 2217), [2275, p1, 2333)}
s2:            {(82, p2, 139), (196, p2, 214), [235, p2, 245], (258, p2, 356), [452, p2, 479), (513, p2, 587], (680, p2, 743], (837, p2, 892), (898, p2, 961], (986, p2, 1062], (1136, p2, 1220), (1231, p2, 1299), [1324, p2, 1356], [1367, p2, 1439), [1467, p2, 1467], [1514, p2, 1549], (1639, p2, 1706), (1755, p2, 1835], (1847, p2, 1881], (1912, p2, 2011], (2085, p2, oo)}
union(s1, s2): {(82, p2, 139), (145, p1, 191), (196, p2, 214), [235, p2, 245], (254, p1, 258], (258, p2, 356), (379, p1, 409], [452, p2, 471), [471, p1, 513], (513, p2, 571], (571, p1, 647], (680, p2, 688], (688, p1, 769], [779, p1, 837], (837, p2, 892), (898, p2, 918), [918, p1, 981], (986, p2, 1062], [1066, p1, 1107], (1136, p2, 1199), [1199, p1, 1231], (1231, p2, 1299), [1324, p2, 1326], (1326, p1, 1367), [1367, p2, 1439), [1467, p2, 1467], [1478, p1, 1561), (1585, p1, 1621), (1639, p2, 1669), [1669, p1, 1747], (1755, p2, 1827], (1827, p1, 1891], (1912, p2, 2011], [2018, p1, 2085], (2085, p2, oo)}
------------------
s1:            {[242, p1, 271], [364, p1, 373], (436, p1, 485), (562, p1, 613], [700, p1, 714], [722, p1, 772), (840, p1, 925), [959, p1, 989), (1026, p1, 1049], (1063, p1, 1083), [1152, p1, 1234), [1248, p1, 1308), (1330, p1, 1339), [1341, p1, 1343], (1396, p1, 1403), (1480, p1, 1557), (1641, p1, 1694], (1714, p1, 1769], [1781, p1, 1824), (1840, p1, 1875], [1898, p1, oo)}
s2:            {(-28, p2, -20), (54, p2, 58], (140, p2, 182), [191, p2, 204], [261, p2, 280], (365, p2, 464], (472, p2, 518), (534, p2, 611], (681, p2, 719], (741, p2, 803), (824, p2, 834], (858, p2, 894), (958, p2, 1026), (1082, p2, 1108], (1139, p2, 1169), (1256, p2, 1263], (1348, p2, 1356), (1374, p2, 1435), [1456, p2, 1512], (1542, p2, 1613)}
union(s1, s2): {(-28, p2, -20), (54, p2, 58], (140, p2, 182), [191, p2, 204], [242, p1, 261), [261, p2, 280], [364, p1, 365], (365, p2, 436], (436, p1, 472], (472, p2, 518), (534, p2, 562], (562, p1, 613], (681, p2, 719], [722, p1, 741], (741, p2, 803), (824, p2, 834], (840, p1, 925), (958, p2, 1026), (1026, p1, 1049], (1063, p1, 1082], (1082, p2, 1108], (1139, p2, 1152), [1152, p1, 1234), [1248, p1, 1308), (1330, p1, 1339), [1341, p1, 1343], (1348, p2, 1356), (1374, p2, 1435), [1456, p2, 1480], (1480, p1, 1542], (1542, p2, 1613), (1641, p1, 1694], (1714, p1, 1769], [1781, p1, 1824), (1840, p1, 1875], [1898, p1, oo)}
------------------
s1:            {[21, p1, 69), [125, p1, 133), [151, p1, 225), [292, p1, 293), [379, p1, 450), [521, p1, 553), [607, p1, 706), [751, p1, 839], [854, p1, 939), (946, p1, 1008), (1036, p1, 1115), (1213, p1, 1228), [1261, p1, 1319), [1403, p1, 1455], [1476, p1, 1478], (1577, p1, 1583), [1586, p1, 1612), (1692, p1, 1730], (1811, p1, 1822), (1878, p1, 1928], [1985, p1, oo)}
s2:            {(-oo, p2, 177], [206, p2, 256), (257, p2, 349], [378, p2, 443], (487, p2, 525], (585, p2, 678], [772, p2, 791], (873, p2, 902], (912, p2, 960), (961, p2, 1051], (1052, p2, 1074), (1078, p2, 1097), (1130, p2, 1193), [1212, p2, 1224), (1226, p2, 1232), [1250, p2, 1333], (1393, p2, 1419), (1517, p2, 1575), [1629, p2, 1696], (1698, p2, 1749), (1759, p2, 1809), (1859, p2, oo)}
union(s1, s2): {(-oo, p2, 151), [151, p1, 206), [206, p2, 256), (257, p2, 349], [378, p2, 379), [379, p1, 450), (487, p2, 521), [521, p1, 553), (585, p2, 607), [607, p1, 706), [751, p1, 839], [854, p1, 912], (912, p2, 946], (946, p1, 961], (961, p2, 1036], (1036, p1, 1115), (1130, p2, 1193), [1212, p2, 1213], (1213, p1, 1226], (1226, p2, 1232), [1250, p2, 1333], (1393, p2, 1403), [1403, p1, 1455], [1476, p1, 1478], (1517, p2, 1575), (1577, p1, 1583), [1586, p1, 1612), [1629, p2, 1692], (1692, p1, 1698], (1698, p2, 1749), (1759, p2, 1809), (1811, p1, 1822), (1859, p2, oo)}
------------------
s1:            {(-oo, p1, 198), [295, p1, 375), [403, p1, 480], [550, p1, 568], [570, p1, 618), [704, p1, 794], [811, p1, 833], [873, p1, 875], [955, p1, 1051), [1130, p1, 1138), [1216, p1, 1221), (1315, p1, 1398), [1408, p1, 1440], [1491, p1, 1507), (1507, p1, 1588), [1657, p1, 1679], (1778, p1, 1825), (1835, p1, 1893], (1970, p1, 2059), [2148, p1, 2196], [2249, p1, 2265)}
s2:            {[177, p2, 259], [324, p2, 372), (386, p2, 431], [447, p2, 448), (491, p2, 546], (559, p2, 618], [696, p2, 700], [735, p2, 799), [803, p2, 840], [902, p2, 992], (1081, p2, 1099), (1140, p2, 1173], [1265, p2, 1294), (1349, p2, 1368], (1440, p2, 1466], [1513, p2, 1556), (1636, p2, 1665), (1746, p2, 1789), [1825, p2, 1873], (1900, p2, 1965)}
union(s1, s2): {(-oo, p1, 177), [177, p2, 259], [295, p1, 375), (386, p2, 403), [403, p1, 480], (491, p2, 546], [550, p1, 559], (559, p2, 618], [696, p2, 700], [704, p1, 735), [735, p2, 799), [803, p2, 840], [873, p1, 875], [902, p2, 955), [955, p1, 1051), (1081, p2, 1099), [1130, p1, 1138), (1140, p2, 1173], [1216, p1, 1221), [1265, p2, 1294), (1315, p1, 1398), [1408, p1, 1440], (1440, p2, 1466], [1491, p1, 1507), (1507, p1, 1588), (1636, p2, 1657), [1657, p1, 1679], (1746, p2, 1778], (1778, p1, 1825), [1825, p2, 1835], (1835, p1, 1893], (1900, p2, 1965), (1970, p1, 2059), [2148, p1, 2196], [2249, p1, 2265)}
------------------
s1:            {(-oo, p1, 45), [135, p1, 169], [177, p1, 248), (342, p1, 430], [481, p1, 519], (553, p1, 555], (635, p1, 696), [722, p1, 745], [788, p1, 821), (856, p1, 897], [958, p1, 1019), [1021, p1, 1039), [1086, p1, 1088), (1147, p1, 1206], [1262, p1, 1305], (1361, p1, 1402), (1445, p1, 1531), (1586, p1, 1641], [1663, p1, 1755), [1814, p1, 1860], (1948, p1, 2013), (2086, p1, oo)}
s2:            {(-oo, p2, 82), (124, p2, 190], [232, p2, 260), [264, p2, 357], [369, p2, 384), [439, p2, 468), [492, p2, 563), (573, p2, 659), [757, p2, 817), (855, p2, 863), (878, p2, 916], (928, p2, 930], [1015, p2, 1042), [1093, p2, 1180), [1204, p2, 1215], (1312, p2, 1331], (1333, p2, 1352], [1399, p2, 1411], [1463, p2, 1469], (1523, p2, 1593], [1673, p2, 1768)}
union(s1, s2): {(-oo, p2, 82), (124, p2, 177), [177, p1, 232), [232, p2, 260), [264, p2, 342], (342, p1, 430], [439, p2, 468), [481, p1, 492), [492, p2, 563), (573, p2, 635], (635, p1, 696), [722, p1, 745], [757, p2, 788), [788, p1, 821), (855, p2, 856], (856, p1, 878], (878, p2, 916], (928, p2, 930], [958, p1, 1015), [1015, p2, 1042), [1086, p1, 1088), [1093, p2, 1147], (1147, p1, 1204), [1204, p2, 1215], [1262, p1, 1305], (1312, p2, 1331], (1333, p2, 1352], (1361, p1, 1399), [1399, p2, 1411], (1445, p1, 1523], (1523, p2, 1586], (1586, p1, 1641], [1663, p1, 1673), [1673, p2, 1768), [1814, p1, 1860], (1948, p1, 2013), (2086, p1, oo)}
------------------
s1:            {[37, p1, 54), [133, p1, 136], [202, p1, 244], [330, p1, 429), (527, p1, 542), (637, p1, 698), (729, p1, 742], (743, p1, 804), (852, p1, 899), (962, p1, 964], [1029, p1, 1101), (1187, p1, 1198), [1200, p1, 1226], [1290, p1, 1309), [1359, p1, 1405], (1452, p1, 1460), [1481, p1, 1538), [1550, p1, 1637), [1704, p1, 1753], [1842, p1, 1861), (1911, p1, oo)}
s2:            {(-oo, p2, -81), [-34, p2, 19], [108, p2, 174), (206, p2, 222), (287, p2, 363), (415, p2, 419), [511, p2, 564), (608, p2, 701), [730, p2, 732), [772, p2, 806], (887, p2, 923), [1011, p2, 1110), [1209, p2, 1227), [1323, p2, 1363], (1388, p2, 1405), (1418, p2, 1470), [1550, p2, 1616), (1677, p2, 1703], (1774, p2, 1797), [1880, p2, 1888), (1933, p2, 2019]}
union(s1, s2): {(-oo, p2, -81), [-34, p2, 19], [37, p1, 54), [108, p2, 174), [202, p1, 244], (287, p2, 330), [330, p1, 429), [511, p2, 564), (608, p2, 701), (729, p1, 742], (743, p1, 772), [772, p2, 806], (852, p1, 887], (887, p2, 923), (962, p1, 964], [1011, p2, 1110), (1187, p1, 1198), [1200, p1, 1209), [1209, p2, 1227), [1290, p1, 1309), [1323, p2, 1359), [1359, p1, 1405], (1418, p2, 1470), [1481, p1, 1538), [1550, p1, 1637), (1677, p2, 1703], [1704, p1, 1753], (1774, p2, 1797), [1842, p1, 1861), [1880, p2, 1888), (1911, p1, oo)}
------------------
s1:            {(-82, p1, -40], (-13, p1, 2), (17, p1, 63), (124, p1, 155), (155, p1, 185), [213, p1, 249], (254, p1, 287), [383, p1, 404], (463, p1, 492), [566, p1, 610], (632, p1, 656), [735, p1, 816], [849, p1, 940), (994, p1, 1073), (1079, p1, 1104], (1198, p1, 1297), (1307, p1, 1372], [1429, p1, 1433], (1460, p1, 1464), (1479, p1, 1534)}
s2:            {(-oo, p2, 23], [76, p2, 156), [165, p2, 259), [319, p2, 325], (416, p2, 488), (530, p2, 612], (684, p2, 718], (760, p2, 811], (899, p2, 998), [1042, p2, 1054), (1090, p2, 1121], (1203, p2, 1245), [1255, p2, 1275), (1325, p2, 1388], (1400, p2, 1452], (1493, p2, 1516), [1613, p2, 1635], (1690, p2, 1752], (1834, p2, 1891], (1911, p2, 1987), [2041, p2, 2133)}
union(s1, s2): {(-oo, p2, 17], (17, p1, 63), [76, p2, 155], (155, p1, 165), [165, p2, 254], (254, p1, 287), [319, p2, 325], [383, p1, 404], (416, p2, 463], (463, p1, 492), (530, p2, 612], (632, p1, 656), (684, p2, 718], [735, p1, 816], [849, p1, 899], (899, p2, 994], (994, p1, 1073), (1079, p1, 1090], (1090, p2, 1121], (1198, p1, 1297), (1307, p1, 1325], (1325, p2, 1388], (1400, p2, 1452], (1460, p1, 1464), (1479, p1, 1534), [1613, p2, 1635], (1690, p2, 1752], (1834, p2, 1891], (1911, p2, 1987), [2041, p2, 2133)}
------------------
s1:            {[2, p1, 97), (127, p1, 223], [278, p1, 328], [377, p1, 400), [408, p1, 495), [498, p1, 540), (540, p1, 587], (593, p1, 598], [687, p1, 712], (789, p1, 852), (949, p1, 1006), [1012, p1, 1054], (1151, p1, 1239], (1304, p1, 1329], (1362, p1, 1440], (1472, p1, 1500], (1529, p1, 1599), [1629, p1, 1640), [1715, p1, 1733], (1805, p1, 1812), (1856, p1, oo)}
s2:            {[108, p2, 185), [279, p2, 292], (333, p2, 379], [466, p2, 556], (575, p2, 624], [652, p2, 746], [845, p2, 885], [964, p2, 1047), (1094, p2, 1166), [1205, p2, 1222], (1315, p2, 1371], (1470, p2, 1501], [1577, p2, 1625), (1704, p2, 1742], (1746, p2, 1821), (1903, p2, 1966], [2001, p2, 2011), (2029, p2, 2038], (2085, p2, 2168), [2222, p2, 2263)}
union(s1, s2): {[2, p1, 97), [108, p2, 127], (127, p1, 223], [278, p1, 328], (333, p2, 377), [377, p1, 400), [408, p1, 466), [466, p2, 540], (540, p1, 575], (575, p2, 624], [652, p2, 746], (789, p1, 845), [845, p2, 885], (949, p1, 964), [964, p2, 1012), [1012, p1, 1054], (1094, p2, 1151], (1151, p1, 1239], (1304, p1, 1315], (1315, p2, 1362], (1362, p1, 1440], (1470, p2, 1501], (1529, p1, 1577), [1577, p2, 1625), [1629, p1, 1640), (1704, p2, 1742], (1746, p2, 1821), (1856, p1, oo)}
------------------
s1:            {(-oo, p1, -123], [-102, p1, -44], [-29, p1, -27), [-21, p1, 49], [123, p1, 140), (154, p1, 171], (205, p1, 243), [261, p1, 272), [315, p1, 315], [375, p1, 413], [462, p1, 518], [529, p1, 540], (558, p1, 627), [701, p1, 792), [807, p1, 845), [878, p1, 947], [955, p1, 980), (1036, p1, 1082), [1145, p1, 1146), [1207, p1, 1276], [1301, p1, 1356)}
s2:            {[237, p2, 266), (298, p2, 375], (384, p2, 455), (475, p2, 498], (557, p2, 603], [605, p2, 659], [723, p2, 766], (824, p2, 891), [893, p2, 973), [1025, p2, 1049), [1088, p2, 1170], (1256, p2, 1315), [1391, p2, 1474), [1503, p2, 1540], [1613, p2, 1633], [1664, p2, 1760], [1811, p2, 1879], [1931, p2, 1960], [1993, p2, 2016), [2045, p2, 2120]}
union(s1, s2): {(-oo, p1, -123], [-102, p1, -44], [-29, p1, -27), [-21, p1, 49], [123, p1, 140), (154, p1, 171], (205, p1, 237), [237, p2, 261), [261, p1, 272), (298, p2, 375), [375, p1, 384], (384, p2, 455), [462, p1, 518], [529, p1, 540], (557, p2, 558], (558, p1, 605), [605, p2, 659], [701, p1, 792), [807, p1, 824], (824, p2, 878), [878, p1, 893), [893, p2, 955), [955, p1, 980), [1025, p2, 1036], (1036, p1, 1082), [1088, p2, 1170], [1207, p1, 1256], (1256, p2, 1301), [1301, p1, 1356), [1391, p2, 1474), [1503, p2, 1540], [1613, p2, 1633], [1664, p2, 1760], [1811, p2, 1879], [1931, p2, 1960], [1993, p2, 2016), [2045, p2, 2120]}
------------------
s1:            {(1, p1, 24), (36, p1, 103], [143, p1, 201], [277, p1, 288), (331, p1, 414], (487, p1, 519), [549, p1, 550), [560, p1, 610), [679, p1, 716), [808, p1, 877], [882, p1, 956], [984, p1, 1073], [1084, p1, 1174), [1197, p1, 1280], (1339, p1, 1425], [1494, p1, 1516], (1575, p1, 1585], [1684, p1, 1703], (1733, p1, 1808], (1845, p1, 1918)}
s2:            {(-oo, p2, 16], (62, p2, 72], (101, p2, 147], (176, p2, 255), (338, p2, 431], [496, p2, 510), [564, p2, 623), [651, p2, 686), (715, p2, 809), [903, p2, 923], [956, p2, 1054], [1123, p2, 1124], [1178, p2, 1193), [1229, p2, 1236], (1298, p2, 1326), (1355, p2, 1427), [1520, p2, 1573), [1615, p2, 1695), [1762, p2, 1860], [1889, p2, 1893], [1978, p2, 1980], [2070, p2, oo)}
union(s1, s2): {(-oo, p2, 1], (1, p1, 24), (36, p1, 101], (101, p2, 143), [143, p1, 176], (176, p2, 255), [277, p1, 288), (331, p1, 338], (338, p2, 431], (487, p1, 519), [549, p1, 550), [560, p1, 564), [564, p2, 623), [651, p2, 679), [679, p1, 715], (715, p2, 808), [808, p1, 877], [882, p1, 956), [956, p2, 984), [984, p1, 1073], [1084, p1, 1174), [1178, p2, 1193), [1197, p1, 1280], (1298, p2, 1326), (1339, p1, 1355], (1355, p2, 1427), [1494, p1, 1516], [1520, p2, 1573), (1575, p1, 1585], [1615, p2, 1684), [1684, p1, 1703], (1733, p1, 1762), [1762, p2, 1845], (1845, p1, 1918), [1978, p2, 1980], [2070, p2, oo)}
------------------
s1:            {(-127, p1, -103], [-101, p1, -34], [60, p1, 75), (75, p1, 169), (187, p1, 193), [257, p1, 305), (352, p1, 426), [466, p1, 553], [579, p1, 674), [764, p1, 792), [806, p1, 842), [861, p1, 888), (970, p1, 1050), [1111, p1, 1126), (1181, p1, 1207), [1305, p1, 1394], [1462, p1, 1524), (1582, p1, 1651), (1710, p1, 1772], (1813, p1, 1814], [1864, p1, oo)}
s2:            {(-oo, p2, 24), (107, p2, 187), (197, p2, 295], [325, p2, 374], (395, p2, 431], (527, p2, 585], [653, p2, 727], [741, p2, 748], [765, p2, 831], (930, p2, 990], [1036, p2, 1118), [1146, p2, 1192], [1221, p2, 1267], (1328, p2, 1384), [1418, p2, 1504], [1550, p2, 1573), [1601, p2, 1691], (1698, p2, 1775), (1822, p2, 1907], (1971, p2, 2026], [2074, p2, 2088]}
union(s1, s2): {(-oo, p2, 24), [60, p1, 75), (75, p1, 107], (107, p2, 187), (187, p1, 193), (197, p2, 257), [257, p1, 305), [325, p2, 352], (352, p1, 395], (395, p2, 431], [466, p1, 527], (527, p2, 579), [579, p1, 653), [653, p2, 727], [741, p2, 748], [764, p1, 765), [765, p2, 806), [806, p1, 842), [861, p1, 888), (930, p2, 970], (970, p1, 1036), [1036, p2, 1111), [1111, p1, 1126), [1146, p2, 1181], (1181, p1, 1207), [1221, p2, 1267], [1305, p1, 1394], [1418, p2, 1462), [1462, p1, 1524), [1550, p2, 1573), (1582, p1, 1601), [1601, p2, 1691], (1698, p2, 1775), (1813, p1, 1814], (1822, p2, 1864), [1864, p1, oo)}
------------------
s1:            {(61, p1, 132), (159, p1, 258), [347, p1, 368), [449, p1, 514], (538, p1, 554], [560, p1, 613), [657, p1, 691], [764, p1, 861], (927, p1, 941), (1005, p1, 1075), (1121, p1, 1213), (1219, p1, 1223], [1235, p1, 1244], (1290, p1, 1330), [1365, p1, 1418), [1420, p1, 1504), [1548, p1, 1580], [1585, p1, 1603), [1679, p1, 1761), (1770, p1, 1775), [1830, p1, oo)}
s2:            {(59, p2, 115), (202, p2, 281], [379, p2, 454), (537, p2, 543], [638, p2, 735), (777, p2, 834), [852, p2, 856], (885, p2, 927], (1019, p2, 1044], [1135, p2, 1194], (1209, p2, 1224], (1254, p2, 1323], (1373, p2, 1427), (1495, p2, 1498), (1584, p2, 1668], [1719, p2, 1803], [1889, p2, 1932], (1934, p2, 1998], [2010, p2, 2059), [2072, p2, 2120]}
union(s1, s2): {(59, p2, 61], (61, p1, 132), (159, p1, 202], (202, p2, 281], [347, p1, 368), [379, p2, 449), [449, p1, 514], (537, p2, 538], (538, p1, 554], [560, p1, 613), [638, p2, 735), [764, p1, 861], (885, p2, 927], (927, p1, 941), (1005, p1, 1075), (1121, p1, 1209], (1209, p2, 1224], [1235, p1, 1244], (1254, p2, 1290], (1290, p1, 1330), [1365, p1, 1373], (1373, p2, 1420), [1420, p1, 1504), [1548, p1, 1580], (1584, p2, 1668], [1679, p1, 1719), [1719, p2, 1803], [1830, p1, oo)}
------------------
s1:            {(-oo, p1, 42], (75, p1, 96), [142, p1, 212], (253, p1, 327), (424, p1, 516), [598, p1, 681), [778, p1, 841], (910, p1, 1009], (1028, p1, 1102), [1187, p1, 1248], [1298, p1, 1331), [1408, p1, 1408], [1495, p1, 1569), (1662, p1, 1754), (1817, p1, 1837], (1867, p1, 1883), (1919, p1, 1970], (2023, p1, 2092], (2168, p1, 2213], [2233, p1, 2304]}
s2:            {(1, p2, 32), [121, p2, 210), (272, p2, 289], (322, p2, 329), [405, p2, 485], [580, p2, 678), [703, p2, 709], (728, p2, 787), (884, p2, 885], [962, p2, 1038), (1049, p2, 1135), [1174, p2, 1248), [1289, p2, 1295), (1357, p2, 1393), (1462, p2, 1514], (1575, p2, 1584), (1586, p2, 1611), (1633, p2, 1715), [1800, p2, 1819], (1882, p2, 1968), [2015, p2, oo)}
union(s1, s2): {(-oo, p1, 42], (75, p1, 96), [121, p2, 142), [142, p1, 212], (253, p1, 322], (322, p2, 329), [405, p2, 424], (424, p1, 516), [580, p2, 598), [598, p1, 681), [703, p2, 709], (728, p2, 778), [778, p1, 841], (884, p2, 885], (910, p1, 962), [962, p2, 1028], (1028, p1, 1049], (1049, p2, 1135), [1174, p2, 1187), [1187, p1, 1248], [1289, p2, 1295), [1298, p1, 1331), (1357, p2, 1393), [1408, p1, 1408], (1462, p2, 1495), [1495, p1, 1569), (1575, p2, 1584), (1586, p2, 1611), (1633, p2, 1662], (1662, p1, 1754), [1800, p2, 1817], (1817, p1, 1837], (1867, p1, 1882], (1882, p2, 1919], (1919, p1, 1970], [2015, p2, oo)}
------------------
s1:            {(-oo, p1, 151], (186, p1, 230), [299, p1, 328), (399, p1, 550), (622, p1, 715], [786, p1, 835], [910, p1, 991), [1080, p1, 1175), [1213, p1, 1220), [1221, p1, 1261), (1269, p1, 1381], [1458, p1, 1536), [1578, p1, 1596), [1665, p1, 1760], (1802, p1, 1805], [1838, p1, 1886), (1927, p1, 1948), (1999, p1, 2045), (2116, p1, 2211)}
s2:            {[-68, p2, 10), [100, p2, 185), (222, p2, 295], (306, p2, 374], (418, p2, 504], [507, p2, 569], [602, p2, 675), [734, p2, 783), [852, p2, 879), [939, p2, 974), (1007, p2, 1054), [1061, p2, 1108], (1200, p2, 1272], [1342, p2, 1383], (1477, p2, 1537], [1561, p2, 1572], [1667, p2, 1721], [1757, p2, 1824), (1855, p2, 1888)}
union(s1, s2): {(-oo, p1, 100), [100, p2, 185), (186, p1, 222], (222, p2, 295], [299, p1, 306], (306, p2, 374], (399, p1, 507), [507, p2, 569], [602, p2, 622], (622, p1, 715], [734, p2, 783), [786, p1, 835], [852, p2, 879), [910, p1, 991), (1007, p2, 1054), [1061, p2, 1080), [1080, p1, 1175), (1200, p2, 1269], (1269, p1, 1342), [1342, p2, 1383], [1458, p1, 1477], (1477, p2, 1537], [1561, p2, 1572], [1578, p1, 1596), [1665, p1, 1757), [1757, p2, 1824), [1838, p1, 1855], (1855, p2, 1888), (1927, p1, 1948), (1999, p1, 2045), (2116, p1, 2211)}
------------------
s1:            {[151, p1, 206), [268, p1, 320), (333, p1, 369), [455, p1, 465], [528, p1, 611], (683, p1, 768], (834, p1, 969), (1012, p1, 1040], (1133, p1, 1172], [1252, p1, 1340), [1368, p1, 1369], (1455, p1, 1502), [1524, p1, 1527), [1595, p1, 1637], (1683, p1, 1725], (1807, p1, 1841], (1911, p1, 1970], (2037, p1, 2097], (2186, p1, 2276)}
s2:            {[138, p2, 213], (235, p2, 288), (304, p2, 325), [381, p2, 447), [467, p2, 483), (551, p2, 607), (622, p2, 677], [726, p2, 774], [825, p2, 919), [996, p2, 1065), [1159, p2, 1255), [1332, p2, 1363], [1414, p2, 1487], (1499, p2, 1596], (1603, p2, 1691), (1723, p2, 1781), [1821, p2, 1848], [1908, p2, 1972), (1997, p2, 2023], [2087, p2, 2164)}
union(s1, s2): {[138, p2, 213], (235, p2, 268), [268, p1, 304], (304, p2, 325), (333, p1, 369), [381, p2, 447), [455, p1, 465], [467, p2, 483), [528, p1, 611], (622, p2, 677], (683, p1, 726), [726, p2, 774], [825, p2, 834], (834, p1, 969), [996, p2, 1065), (1133, p1, 1159), [1159, p2, 1252), [1252, p1, 1332), [1332, p2, 1363], [1368, p1, 1369], [1414, p2, 1455], (1455, p1, 1499], (1499, p2, 1595), [1595, p1, 1603], (1603, p2, 1683], (1683, p1, 1723], (1723, p2, 1781), (1807, p1, 1821), [1821, p2, 1848], [1908, p2, 1972), (1997, p2, 2023], (2037, p1, 2087), [2087, p2, 2164), (2186, p1, 2276)}
------------------
s1:            {(-22, p1, 11), (24, p1, 87], (112, p1, 186), (201, p1, 282], (285, p1, 373], [456, p1, 538), (601, p1, 647], [693, p1, 787), [811, p1, 876), (893, p1, 967), [989, p1, 999], [1052, p1, 1136), [1141, p1, 1192), (1262, p1, 1330), (1375, p1, 1409], (1433, p1, 1471], (1564, p1, 1626), (1719, p1, 1772), (1807, p1, 1895], (1936, p1, 2000]}
s2:            {(-oo, p2, 207), (218, p2, 317), (362, p2, 411), [509, p2, 530), (578, p2, 611), (689, p2, 741], [742, p2, 805), (895, p2, 950], [966, p2, 1056), (1060, p2, 1106], (1151, p2, 1242], (1251, p2, 1343), (1436, p2, 1489], [1509, p2, 1571], (1623, p2, 1722], [1786, p2, 1796], [1825, p2, 1922), [1987, p2, 2080], (2156, p2, 2198), (2233, p2, 2303), (2354, p2, 2414], [2498, p2, oo)}
union(s1, s2): {(-oo, p2, 201], (201, p1, 218], (218, p2, 285], (285, p1, 362], (362, p2, 411), [456, p1, 538), (578, p2, 601], (601, p1, 647], (689, p2, 693), [693, p1, 742), [742, p2, 805), [811, p1, 876), (893, p1, 966), [966, p2, 1052), [1052, p1, 1136), [1141, p1, 1151], (1151, p2, 1242], (1251, p2, 1343), (1375, p1, 1409], (1433, p1, 1436], (1436, p2, 1489], [1509, p2, 1564], (1564, p1, 1623], (1623, p2, 1719], (1719, p1, 1772), [1786, p2, 1796], (1807, p1, 1825), [1825, p2, 1922), (1936, p1, 1987), [1987, p2, 2080], (2156, p2, 2198), (2233, p2, 2303), (2354, p2, 2414], [2498, p2, oo)}
------------------
s1:            {(-93, p1, -83], [-59, p1, 3), [85, p1, 172], [192, p1, 245), (344, p1, 382], [451, p1, 506], [567, p1, 594], (620, p1, 712), (717, p1, 760], (779, p1, 877], (964, p1, 1017], (1076, p1, 1158), (1214, p1, 1282), (1336, p1, 1429), [1459, p1, 1513], (1557, p1, 1645), [1677, p1, 1678], (1710, p1, 1755], (1805, p1, 1854], (1944, p1, 2035)}
s2:            {[-14, p2, 24), [79, p2, 153), (219, p2, 293], [299, p2, 331), [371, p2, 459), (530, p2, 575), (585, p2, 662), [670, p2, 680), (746, p2, 829), (911, p2, 1008), [1107, p2, 1111], (1180, p2, 1193], [1223, p2, 1244], [1261, p2, 1335], (1393, p2, 1489), [1495, p2, 1554], [1603, p2, 1638], (1711, p2, 1715], [1788, p2, 1859), [1893, p2, 1913]}
union(s1, s2): {(-93, p1, -83], [-59, p1, -14), [-14, p2, 24), [79, p2, 85), [85, p1, 172], [192, p1, 219], (219, p2, 293], [299, p2, 331), (344, p1, 371), [371, p2, 451), [451, p1, 506], (530, p2, 567), [567, p1, 585], (585, p2, 620], (620, p1, 712), (717, p1, 746], (746, p2, 779], (779, p1, 877], (911, p2, 964], (964, p1, 1017], (1076, p1, 1158), (1180, p2, 1193], (1214, p1, 1261), [1261, p2, 1335], (1336, p1, 1393], (1393, p2, 1459), [1459, p1, 1495), [1495, p2, 1554], (1557, p1, 1645), [1677, p1, 1678], (1710, p1, 1755], [1788, p2, 1859), [1893, p2, 1913], (1944, p1, 2035)}
------------------
s1:            {(-oo, p1, 193), (236, p1, 250), (326, p1, 347], [356, p1, 377], [429, p1, 502], (563, p1, 576), [601, p1, 627], [714, p1, 793], (836, p1, 837], (887, p1, 900], [923, p1, 956], (971, p1, 1066], [1078, p1, 1126], (1131, p1, 1222], (1289, p1, 1343), [1434, p1, 1463], [1481, p1, 1500), (1533, p1, 1584], (1651, p1, 1696), [1731, p1, 1749), (1787, p1, 1885), (1968, p1, oo)}
s2:            {(135, p2, 154), [214, p2, 228), [313, p2, 373], [461, p2, 535), (564, p2, 639), (725, p2, 803), (828, p2, 875], (890, p2, 917), (1004, p2, 1072], (1123, p2, 1171), [1178, p2, 1197), (1213, p2, 1272), (1313, p2, 1405), (1504, p2, 1513), [1535, p2, 1604), [1685, p2, 1738], (1780, p2, 1868), (1923, p2, 2019), [2075, p2, 2168), (2235, p2, 2295], [2317, p2, oo)}
union(s1, s2): {(-oo, p1, 193), [214, p2, 228), (236, p1, 250), [313, p2, 356), [356, p1, 377], [429, p1, 461), [461, p2, 535), (563, p1, 564], (564, p2, 639), [714, p1, 725], (725, p2, 803), (828, p2, 875], (887, p1, 890], (890, p2, 917), [923, p1, 956], (971, p1, 1004], (1004, p2, 1072], [1078, p1, 1123], (1123, p2, 1131], (1131, p1, 1213], (1213, p2, 1272), (1289, p1, 1313], (1313, p2, 1405), [1434, p1, 1463], [1481, p1, 1500), (1504, p2, 1513), (1533, p1, 1535), [1535, p2, 1604), (1651, p1, 1685), [1685, p2, 1731), [1731, p1, 1749), (1780, p2, 1787], (1787, p1, 1885), (1923, p2, 1968], (1968, p1, oo)}
------------------
s1:            {(145, p1, 202), [275, p1, 368), (454, p1, 463), [561, p1, 592), (646, p1, 737], [819, p1, 889), [921, p1, 1011], [1079, p1, 1133], (1223, p1, 1290], (1322, p1, 1420), [1463, p1, 1539), (1558, p1, 1582), (1591, p1, 1687], [1776, p1, 1795), [1883, p1, 1932], (2008, p1, 2075), (2156, p1, 2240], [2258, p1, 2387], [2405, p1, 2416), (2416, p1, oo)}
s2:            {[-38, p2, -32), [37, p2, 70], (84, p2, 85], [118, p2, 122), (212, p2, 221), (232, p2, 318], (383, p2, 398), (490, p2, 540], [569, p2, 628], (719, p2, 732), [740, p2, 835), [868, p2, 900), (909, p2, 926), (988, p2, 1013), (1022, p2, 1029), [1083, p2, 1173), (1240, p2, 1298], [1383, p2, 1432), (1476, p2, 1548], [1645, p2, 1731)}
union(s1, s2): {[-38, p2, -32), [37, p2, 70], (84, p2, 85], [118, p2, 122), (145, p1, 202), (212, p2, 221), (232, p2, 275), [275, p1, 368), (383, p2, 398), (454, p1, 463), (490, p2, 540], [561, p1, 569), [569, p2, 628], (646, p1, 737], [740, p2, 819), [819, p1, 868), [868, p2, 900), (909, p2, 921), [921, p1, 988], (988, p2, 1013), (1022, p2, 1029), [1079, p1, 1083), [1083, p2, 1173), (1223, p1, 1240], (1240, p2, 1298], (1322, p1, 1383), [1383, p2, 1432), [1463, p1, 1476], (1476, p2, 1548], (1558, p1, 1582), (1591, p1, 1645), [1645, p2, 1731), [1776, p1, 1795), [1883, p1, 1932], (2008, p1, 2075), (2156, p1, 2240], [2258, p1, 2387], [2405, p1, 2416), (2416, p1, oo)}
------------------
s1:            {(-oo, p1, -68), (-8, p1, 53], (126, p1, 155], (224, p1, 323], [351, p1, 424), (497, p1, 582), [591, p1, 654], [752, p1, 759], (783, p1, 802), [849, p1, 924], [928, p1, 1007), (1096, p1, 1129], [1223, p1, 1234], (1235, p1, 1322], [1342, p1, 1400], (1417, p1, 1435], [1505, p1, 1513], (1571, p1, 1599), [1663, p1, 1692], (1699, p1, 1707), (1785, p1, 1786)}
s2:            {(43, p2, 122), [125, p2, 130], [137, p2, 180], [232, p2, 282), [293, p2, 370), [397, p2, 425], (506, p2, 576], [630, p2, 699], [714, p2, 778), (805, p2, 813), [860, p2, 955), [1020, p2, 1077), [1148, p2, 1151], (1193, p2, 1231], [1283, p2, 1307], [1374, p2, 1392], [1439, p2, 1520], [1527, p2, 1547), [1570, p2, 1652], (1716, p2, 1717]}
union(s1, s2): {(-oo, p1, -68), (-8, p1, 43], (43, p2, 122), [125, p2, 126], (126, p1, 137), [137, p2, 180], (224, p1, 293), [293, p2, 351), [351, p1, 397), [397, p2, 425], (497, p1, 582), [591, p1, 630), [630, p2, 699], [714, p2, 778), (783, p1, 802), (805, p2, 813), [849, p1, 860), [860, p2, 928), [928, p1, 1007), [1020, p2, 1077), (1096, p1, 1129], [1148, p2, 1151], (1193, p2, 1223), [1223, p1, 1234], (1235, p1, 1322], [1342, p1, 1400], (1417, p1, 1435], [1439, p2, 1520], [1527, p2, 1547), [1570, p2, 1652], [1663, p1, 1692], (1699, p1, 1707), (1716, p2, 1717], (1785, p1, 1786)}
------------------
s1:            {(-oo, p1, -29], (46, p1, 143), [169, p1, 206), [288, p1, 318], (390, p1, 461], [480, p1, 498), (586, p1, 652], [732, p1, 814], [905, p1, 997], (1082, p1, 1133), [1160, p1, 1173), (1263, p1, 1330], [1374, p1, 1416], (1512, p1, 1558], (1592, p1, 1625], [1704, p1, 1747], (1843, p1, 1902), (1976, p1, 2048), (2062, p1, 2063], [2114, p1, 2115), [2147, p1, 2193], [2281, p1, oo)}
s2:            {(225, p2, 303], (341, p2, 402), (448, p2, 522], [524, p2, 572], (642, p2, 726], [807, p2, 896), (991, p2, 1026], (1091, p2, 1183], (1254, p2, 1316), [1366, p2, 1425), (1480, p2, 1533), (1603, p2, 1683], (1686, p2, 1701), (1751, p2, 1830], [1903, p2, 1969), (2051, p2, 2110), [2140, p2, 2145), (2155, p2, 2227), [2243, p2, 2333], [2429, p2, 2432), [2464, p2, oo)}
union(s1, s2): {(-oo, p1, -29], (46, p1, 143), [169, p1, 206), (225, p2, 288), [288, p1, 318], (341, p2, 390], (390, p1, 448], (448, p2, 522], [524, p2, 572], (586, p1, 642], (642, p2, 726], [732, p1, 807), [807, p2, 896), [905, p1, 991], (991, p2, 1026], (1082, p1, 1091], (1091, p2, 1183], (1254, p2, 1263], (1263, p1, 1330], [1366, p2, 1425), (1480, p2, 1512], (1512, p1, 1558], (1592, p1, 1603], (1603, p2, 1683], (1686, p2, 1701), [1704, p1, 1747], (1751, p2, 1830], (1843, p1, 1902), [1903, p2, 1969), (1976, p1, 2048), (2051, p2, 2110), [2114, p1, 2115), [2140, p2, 2145), [2147, p1, 2155], (2155, p2, 2227), [2243, p2, 2281), [2281, p1, oo)}
------------------
s1:            {[147, p1, 204), [275, p1, 284), [292, p1, 384), [467, p1, 493], (496, p1, 504), (533, p1, 611], (640, p1, 672], [714, p1, 776], (802, p1, 823], (860, p1, 868), (960, p1, 979], [1012, p1, 1111), (1200, p1, 1206), [1211, p1, 1211], [1224, p1, 1306), (1313, p1, 1355], (1385, p1, 1460], [1509, p1, 1523], [1593, p1, 1679], [1758, p1, 1854), (1868, p1, oo)}
s2:            {(161, p2, 251), (283, p2, 328], [347, p2, 350], (422, p2, 504], [589, p2, 669), (764, p2, 849], (874, p2, 901), [982, p2, 1047], [1114, p2, 1117], [1202, p2, 1274), (1317, p2, 1389), [1390, p2, 1409], (1498, p2, 1532], [1599, p2, 1676], (1686, p2, 1754], (1835, p2, 1849], [1894, p2, 1977], (2070, p2, 2091), (2187, p2, 2284], (2291, p2, oo)}
union(s1, s2): {[147, p1, 161], (161, p2, 251), [275, p1, 283], (283, p2, 292), [292, p1, 384), (422, p2, 504], (533, p1, 589), [589, p2, 640], (640, p1, 672], [714, p1, 764], (764, p2, 849], (860, p1, 868), (874, p2, 901), (960, p1, 979], [982, p2, 1012), [1012, p1, 1111), [1114, p2, 1117], (1200, p1, 1202), [1202, p2, 1224), [1224, p1, 1306), (1313, p1, 1317], (1317, p2, 1385], (1385, p1, 1460], (1498, p2, 1532], [1593, p1, 1679], (1686, p2, 1754], [1758, p1, 1854), (1868, p1, oo)}
------------------
s1:            {[104, p1, 200], (213, p1, 237], (248, p1, 324), (369, p1, 389), (483, p1, 526), (592, p1, 642], [713, p1, 761), (817, p1, 875], [961, p1, 1024), (1093, p1, 1167], (1234, p1, 1240], [1255, p1, 1338), (1383, p1, 1469], [1508, p1, 1533], [1624, p1, 1696], [1727, p1, 1802), (1867, p1, 1944), (2041, p1, 2057), [2073, p1, 2087), [2113, p1, 2196]}
s2:            {(81, p2, 133], [190, p2, 205), [208, p2, 221], [235, p2, 290], (351, p2, 356], (441, p2, 507], [580, p2, 584], [639, p2, 658), [704, p2, 773], [840, p2, 909], [950, p2, 1046), [1061, p2, 1122), (1126, p2, 1172), (1229, p2, 1254], [1284, p2, 1299], [1367, p2, 1453), [1457, p2, 1492], (1572, p2, 1652), [1718, p2, 1744], [1769, p2, 1854), [1908, p2, oo)}
union(s1, s2): {(81, p2, 104), [104, p1, 190), [190, p2, 205), [208, p2, 213], (213, p1, 235), [235, p2, 248], (248, p1, 324), (351, p2, 356], (369, p1, 389), (441, p2, 483], (483, p1, 526), [580, p2, 584], (592, p1, 639), [639, p2, 658), [704, p2, 773], (817, p1, 840), [840, p2, 909], [950, p2, 1046), [1061, p2, 1093], (1093, p1, 1126], (1126, p2, 1172), (1229, p2, 1254], [1255, p1, 1338), [1367, p2, 1383], (1383, p1, 1457), [1457, p2, 1492], [1508, p1, 1533], (1572, p2, 1624), [1624, p1, 1696], [1718, p2, 1727), [1727, p1, 1769), [1769, p2, 1854), (1867, p1, 1908), [1908, p2, oo)}
------------------
s1:            {(161, p1, 251], [264, p1, 267), [312, p1, 316), [392, p1, 488], (491, p1, 528), (589, p1, 639], (703, p1, 795], [809, p1, 851], [921, p1, 974), [1006, p1, 1080], [1143, p1, 1164], (1165, p1, 1223), [1251, p1, 1288], (1367, p1, 1431], [1529, p1, 1609), (1672, p1, 1740), [1809, p1, 1809], [1899, p1, 1959), [2034, p1, 2119], [2154, p1, 2162]}
s2:            {[-105, p2, -34], (13, p2, 104), [180, p2, 259], [261, p2, 329), [401, p2, 487), (571, p2, 654], (717, p2, 737], (794, p2, 831], (862, p2, 939), [1029, p2, 1037), [1078, p2, 1110), (1184, p2, 1188), (1221, p2, 1289), (1291, p2, 1309), (1353, p2, 1431], [1448, p2, 1508), [1560, p2, 1644), (1693, p2, 1704), (1768, p2, 1800), (1816, p2, 1830]}
union(s1, s2): {[-105, p2, -34], (13, p2, 104), (161, p1, 180), [180, p2, 259], [261, p2, 329), [392, p1, 488], (491, p1, 528), (571, p2, 654], (703, p1, 794], (794, p2, 809), [809, p1, 851], (862, p2, 921), [921, p1, 974), [1006, p1, 1078), [1078, p2, 1110), [1143, p1, 1164], (1165, p1, 1221], (1221, p2, 1289), (1291, p2, 1309), (1353, p2, 1431], [1448, p2, 1508), [1529, p1, 1560), [1560, p2, 1644), (1672, p1, 1740), (1768, p2, 1800), [1809, p1, 1809], (1816, p2, 1830], [1899, p1, 1959), [2034, p1, 2119], [2154, p1, 2162]}
------------------
s1:            {(-62, p1, -6), (55, p1, 125], [220, p1, 308], (406, p1, 487), (578, p1, 579], [619, p1, 671), (711, p1, 748], (820, p1, 897], [973, p1, 984), [1031, p1, 1097), (1100, p1, 1149], (1206, p1, 1291), [1299, p1, 1395), (1450, p1, 1527], (1558, p1, 1578], (1655, p1, 1683), [1761, p1, 1802), [1863, p1, 1878), [1923, p1, 1947), (1977, p1, 2070]}
s2:            {(205, p2, 235], [330, p2, 350], (418, p2, 458), (552, p2, 609), [642, p2, 648], [652, p2, 654], [744, p2, 781], (834, p2, 931), [984, p2, 1080), [1098, p2, 1179), [1220, p2, 1249), (1293, p2, 1294], (1323, p2, 1366], [1407, p2, 1412), (1433, p2, 1490], [1535, p2, 1545), [1636, p2, 1646], [1700, p2, 1758], (1769, p2, 1803), (1819, p2, 1820), [1876, p2, oo)}
union(s1, s2): {(-62, p1, -6), (55, p1, 125], (205, p2, 220), [220, p1, 308], [330, p2, 350], (406, p1, 487), (552, p2, 609), [619, p1, 671), (711, p1, 744), [744, p2, 781], (820, p1, 834], (834, p2, 931), [973, p1, 984), [984, p2, 1031), [1031, p1, 1097), [1098, p2, 1179), (1206, p1, 1291), (1293, p2, 1294], [1299, p1, 1395), [1407, p2, 1412), (1433, p2, 1450], (1450, p1, 1527], [1535, p2, 1545), (1558, p1, 1578], [1636, p2, 1646], (1655, p1, 1683), [1700, p2, 1758], [1761, p1, 1769], (1769, p2, 1803), (1819, p2, 1820), [1863, p1, 1876), [1876, p2, oo)}
------------------
s1:            {(24, p1, 123], [217, p1, 312], (397, p1, 411), (430, p1, 481), [521, p1, 604), (610, p1, 634), (662, p1, 690], [746, p1, 813), (856, p1, 872], [918, p1, 966), [1025, p1, 1040), [1136, p1, 1147], (1166, p1, 1244), [1327, p1, 1402], (1456, p1, 1544], [1620, p1, 1667), (1734, p1, 1812), (1839, p1, 1879), [1890, p1, 1914), (1946, p1, 2038)}
s2:            {(-oo, p2, 181), (243, p2, 268], (293, p2, 295], (343, p2, 370], (417, p2, 433], [472, p2, 500), (546, p2, 594), [621, p2, 662), (756, p2, 787), (835, p2, 883), (977, p2, 1069), (1087, p2, 1165), [1260, p2, 1290], (1328, p2, 1409], (1465, p2, 1527), (1573, p2, 1643), (1702, p2, 1749], (1806, p2, 1822), [1885, p2, 1913), (1982, p2, 2066), [2102, p2, 2192), [2275, p2, oo)}
union(s1, s2): {(-oo, p2, 181), [217, p1, 312], (343, p2, 370], (397, p1, 411), (417, p2, 430], (430, p1, 472), [472, p2, 500), [521, p1, 604), (610, p1, 621), [621, p2, 662), (662, p1, 690], [746, p1, 813), (835, p2, 883), [918, p1, 966), (977, p2, 1069), (1087, p2, 1165), (1166, p1, 1244), [1260, p2, 1290], [1327, p1, 1328], (1328, p2, 1409], (1456, p1, 1544], (1573, p2, 1620), [1620, p1, 1667), (1702, p2, 1734], (1734, p1, 1806], (1806, p2, 1822), (1839, p1, 1879), [1885, p2, 1890), [1890, p1, 1914), (1946, p1, 1982], (1982, p2, 2066), [2102, p2, 2192), [2275, p2, oo)}
------------------
s1:            {(-oo, p1, 174], (233, p1, 240), (283, p1, 362], [377, p1, 419], (435, p1, 480), (562, p1, 568], (644, p1, 680], (769, p1, 814], [904, p1, 958], [964, p1, 994), (1067, p1, 1152], [1172, p1, 1254), [1277, p1, 1308], [1407, p1, 1435), (1458, p1, 1488], (1522, p1, 1604), [1703, p1, 1724), (1740, p1, 1833], [1884, p1, 1941), (1979, p1, 2064), (2096, p1, 2185), [2280, p1, oo)}
s2:            {[7, p2, 74), (80, p2, 83], (159, p2, 200), [206, p2, 226], (246, p2, 300), (356, p2, 423), (490, p2, 559], (623, p2, 633), (691, p2, 722), (771, p2, 801], (889, p2, 979], (984, p2, 1041], (1114, p2, 1197), (1255, p2, 1337], [1395, p2, 1484], [1538, p2, 1634), [1693, p2, 1725], (1800, p2, 1879), [1915, p2, 2010), (2098, p2, 2125)}
union(s1, s2): {(-oo, p1, 159], (159, p2, 200), [206, p2, 226], (233, p1, 240), (246, p2, 283], (283, p1, 356], (356, p2, 423), (435, p1, 480), (490, p2, 559], (562, p1, 568], (623, p2, 633), (644, p1, 680], (691, p2, 722), (769, p1, 814], (889, p2, 964), [964, p1, 984], (984, p2, 1041], (1067, p1, 1114], (1114, p2, 1172), [1172, p1, 1254), (1255, p2, 1337], [1395, p2, 1458], (1458, p1, 1488], (1522, p1, 1538), [1538, p2, 1634), [1693, p2, 1725], (1740, p1, 1800], (1800, p2, 1879), [1884, p1, 1915), [1915, p2, 1979], (1979, p1, 2064), (2096, p1, 2185), [2280, p1, oo)}
------------------
s1:            {[-83, p1, -68), (4, p1, 69), [146, p1, 219), (302, p1, 333), (357, p1, 430), (483, p1, 531], [620, p1, 669], [746, p1, 764], (847, p1, 898), (990, p1, 1059], (1107, p1, 1173), [1206, p1, 1274], [1291, p1, 1385], [1460, p1, 1553), [1562, p1, 1638], (1683, p1, 1685), [1742, p1, 1789], [1839, p1, 1868), (1951, p1, 1983), [2066, p1, 2146]}
s2:            {(-11, p2, 77), [166, p2, 251), (325, p2, 364], (383, p2, 396), [460, p2, 535], [567, p2, 605], [663, p2, 701), [753, p2, 763], [769, p2, 824], (902, p2, 934), [1008, p2, 1057), [1103, p2, 1174], [1253, p2, 1291], [1324, p2, 1380), (1380, p2, 1417), (1425, p2, 1472), [1503, p2, 1588], (1653, p2, 1675), (1730, p2, 1733), [1794, p2, 1832)}
union(s1, s2): {[-83, p1, -68), (-11, p2, 77), [146, p1, 166), [166, p2, 251), (302, p1, 325], (325, p2, 357], (357, p1, 430), [460, p2, 535], [567, p2, 605], [620, p1, 663), [663, p2, 701), [746, p1, 764], [769, p2, 824], (847, p1, 898), (902, p2, 934), (990, p1, 1059], [1103, p2, 1174], [1206, p1, 1253), [1253, p2, 1291), [1291, p1, 1380], (1380, p2, 1417), (1425, p2, 1460), [1460, p1, 1503), [1503, p2, 1562), [1562, p1, 1638], (1653, p2, 1675), (1683, p1, 1685), (1730, p2, 1733), [1742, p1, 1789], [1794, p2, 1832), [1839, p1, 1868), (1951, p1, 1983), [2066, p1, 2146]}
------------------
s1:            {(-oo, p1, -55), [-50, p1, -41], (24, p1, 111], [165, p1, 233], (258, p1, 320], (409, p1, 411), [449, p1, 458], [536, p1, 632], (656, p1, 723], (801, p1, 817], (862, p1, 906), [944, p1, 1042), (1138, p1, 1143), (1194, p1, 1212), [1310, p1, 1403), [1487, p1, 1563], [1654, p1, 1662), [1721, p1, 1782), [1824, p1, 1880), (1884, p1, 1903), [1928, p1, 1939)}
s2:            {[49, p2, 83), (138, p2, 206), (212, p2, 225), [269, p2, 356), (389, p2, 449), [484, p2, 560], (597, p2, 682], (748, p2, 781], [829, p2, 868), [890, p2, 891], (973, p2, 1070], (1093, p2, 1188), (1286, p2, 1364], [1419, p2, 1455], [1498, p2, 1513), [1605, p2, 1655], [1659, p2, 1735], [1744, p2, 1788], (1824, p2, 1880), (1881, p2, 1883]}
union(s1, s2): {(-oo, p1, -55), [-50, p1, -41], (24, p1, 111], (138, p2, 165), [165, p1, 233], (258, p1, 269), [269, p2, 356), (389, p2, 449), [449, p1, 458], [484, p2, 536), [536, p1, 597], (597, p2, 656], (656, p1, 723], (748, p2, 781], (801, p1, 817], [829, p2, 862], (862, p1, 906), [944, p1, 973], (973, p2, 1070], (1093, p2, 1188), (1194, p1, 1212), (1286, p2, 1310), [1310, p1, 1403), [1419, p2, 1455], [1487, p1, 1563], [1605, p2, 1654), [1654, p1, 1659), [1659, p2, 1721), [1721, p1, 1744), [1744, p2, 1788], [1824, p1, 1880), (1881, p2, 1883], (1884, p1, 1903), [1928, p1, 1939)}
------------------
s1:            {[224, p1, 312), (341, p1, 395], (493, p1, 513], (550, p1, 629), (704, p1, 789], [790, p1, 825], [916, p1, 1009), [1065, p1, 1092), [1190, p1, 1207), (1281, p1, 1297), (1320, p1, 1355), [1419, p1, 1497], (1531, p1, 1617), [1655, p1, 1724), (1735, p1, 1756], [1840, p1, 1939], [1971, p1, 1975), (1985, p1, 2044), [2051, p1, 2139], (2181, p1, 2275)}
s2:            {(-oo, p2, -4), [40, p2, 103], [138, p2, 140], [219, p2, 299), [370, p2, 438), [439, p2, 482), [555, p2, 635], (636, p2, 707), [713, p2, 767), [789, p2, 793], [857, p2, 928], (999, p2, 1000], [1051, p2, 1140], (1152, p2, 1154], (1234, p2, 1312], (1407, p2, 1427), (1444, p2, 1521), [1570, p2, 1634), (1701, p2, 1746), [1813, p2, 1895], [1902, p2, 2001], [2045, p2, oo)}
union(s1, s2): {(-oo, p2, -4), [40, p2, 103], [138, p2, 140], [219, p2, 224), [224, p1, 312), (341, p1, 370), [370, p2, 438), [439, p2, 482), (493, p1, 513], (550, p1, 555), [555, p2, 635], (636, p2, 704], (704, p1, 789), [789, p2, 790), [790, p1, 825], [857, p2, 916), [916, p1, 1009), [1051, p2, 1140], (1152, p2, 1154], [1190, p1, 1207), (1234, p2, 1312], (1320, p1, 1355), (1407, p2, 1419), [1419, p1, 1444], (1444, p2, 1521), (1531, p1, 1570), [1570, p2, 1634), [1655, p1, 1701], (1701, p2, 1735], (1735, p1, 1756], [1813, p2, 1840), [1840, p1, 1902), [1902, p2, 1985], (1985, p1, 2044), [2045, p2, oo)}
------------------
s1:            {(-oo, p1, -174], (-112, p1, -50], [39, p1, 113], (158, p1, 251], [279, p1, 321), (379, p1, 385], [475, p1, 520], (589, p1, 612), (615, p1, 630], (662, p1, 663], (669, p1, 732), [805, p1, 845], (920, p1, 943), (949, p1, 1034), (1064, p1, 1099), [1198, p1, 1262), [1300, p1, 1379), [1470, p1, 1473), (1565, p1, 1573], (1656, p1, 1720), (1813, p1, 1861]}
s2:            {(-oo, p2, 102], [156, p2, 179], (201, p2, 254], [324, p2, 367), [444, p2, 514), [585, p2, 619), [678, p2, 718), [809, p2, 854], (905, p2, 942], (988, p2, 1024], (1090, p2, 1135], (1162, p2, 1174], [1192, p2, 1193), (1207, p2, 1208), [1243, p2, 1271], (1364, p2, 1380], (1474, p2, 1547], (1574, p2, 1604), (1656, p2, 1687], (1751, p2, 1802), [1878, p2, 1882], [1883, p2, oo)}
union(s1, s2): {(-oo, p2, 39), [39, p1, 113], [156, p2, 158], (158, p1, 201], (201, p2, 254], [279, p1, 321), [324, p2, 367), (379, p1, 385], [444, p2, 475), [475, p1, 520], [585, p2, 615], (615, p1, 630], (662, p1, 663], (669, p1, 732), [805, p1, 809), [809, p2, 854], (905, p2, 920], (920, p1, 943), (949, p1, 1034), (1064, p1, 1090], (1090, p2, 1135], (1162, p2, 1174], [1192, p2, 1193), [1198, p1, 1243), [1243, p2, 1271], [1300, p1, 1364], (1364, p2, 1380], [1470, p1, 1473), (1474, p2, 1547], (1565, p1, 1573], (1574, p2, 1604), (1656, p1, 1720), (1751, p2, 1802), (1813, p1, 1861], [1878, p2, 1882], [1883, p2, oo)}
------------------
s1:            {(69, p1, 85], [92, p1, 177], [235, p1, 261], (271, p1, 336), [413, p1, 436], [483, p1, 579), (611, p1, 706], (724, p1, 807), (828, p1, 922], [983, p1, 984], (1016, p1, 1021], (1056, p1, 1080), (1096, p1, 1118), (1120, p1, 1206], [1219, p1, 1267], [1292, p1, 1369), (1402, p1, 1499], [1573, p1, 1632], [1638, p1, 1719], (1777, p1, 1831]}
s2:            {(-oo, p2, 255), (340, p2, 361), (384, p2, 475), [528, p2, 555], (622, p2, 716), [794, p2, 892), [940, p2, 984), (1072, p2, 1151], [1165, p2, 1166), [1227, p2, 1243), [1263, p2, 1351), (1428, p2, 1503), (1601, p2, 1607), [1613, p2, 1663], [1709, p2, 1758), [1810, p2, 1883], [1969, p2, 1970), (2049, p2, 2141), (2156, p2, 2242), [2315, p2, 2341), [2363, p2, 2415]}
union(s1, s2): {(-oo, p2, 235), [235, p1, 261], (271, p1, 336), (340, p2, 361), (384, p2, 475), [483, p1, 579), (611, p1, 622], (622, p2, 716), (724, p1, 794), [794, p2, 828], (828, p1, 922], [940, p2, 983), [983, p1, 984], (1016, p1, 1021], (1056, p1, 1072], (1072, p2, 1120], (1120, p1, 1206], [1219, p1, 1263), [1263, p2, 1292), [1292, p1, 1369), (1402, p1, 1428], (1428, p2, 1503), [1573, p1, 1613), [1613, p2, 1638), [1638, p1, 1709), [1709, p2, 1758), (1777, p1, 1810), [1810, p2, 1883], [1969, p2, 1970), (2049, p2, 2141), (2156, p2, 2242), [2315, p2, 2341), [2363, p2, 2415]}
------------------
s1:            {(201, p1, 290], (314, p1, 382), (467, p1, 549), [618, p1, 712), (741, p1, 774], [823, p1, 914), (984, p1, 1069), [1122, p1, 1148), [1215, p1, 1290), [1323, p1, 1374], (1404, p1, 1475), (1532, p1, 1591), (1660, p1, 1701], [1705, p1, 1750), [1845, p1, 1890), [1902, p1, 1924), [2012, p1, 2056], [2079, p1, 2093], (2178, p1, 2210], (2244, p1, 2332], [2348, p1, oo)}
s2:            {(-oo, p2, -152), [-111, p2, -40), [28, p2, 95], (138, p2, 187), (202, p2, 293), (356, p2, 426), [438, p2, 476], (555, p2, 556], [561, p2, 575], (582, p2, 603], (625, p2, 647), [670, p2, 810], [826, p2, 913], (954, p2, 1019], [1105, p2, 1164], [1253, p2, 1295], [1334, p2, 1379], (1401, p2, 1526), (1540, p2, 1569), [1602, p2, oo)}
union(s1, s2): {(-oo, p2, -152), [-111, p2, -40), [28, p2, 95], (138, p2, 187), (201, p1, 202], (202, p2, 293), (314, p1, 356], (356, p2, 426), [438, p2, 467], (467, p1, 549), (555, p2, 556], [561, p2, 575], (582, p2, 603], [618, p1, 670), [670, p2, 810], [823, p1, 914), (954, p2, 984], (984, p1, 1069), [1105, p2, 1164], [1215, p1, 1253), [1253, p2, 1295], [1323, p1, 1334), [1334, p2, 1379], (1401, p2, 1526), (1532, p1, 1591), [1602, p2, oo)}
s1: {}
s2: {(-oo, ~p2, 1.4142135623?]}
s3: {[0, p1, 2]}
s4: {(-oo, ~p2, 0), [0, p1, 2]}
------------------
s1:            {[0, p1, 2]}
s2:            {[0, p2, 2]}
union(s1, s2): {[0, p1, 2]}
------------------
s1:            {[0, p1, 2]}
s2:            {[-1.4142135623?, p2, 1]}
union(s1, s2): {[-1.4142135623?, p2, 0), [0, p1, 2]}
------------------
s1:            {[-1.4142135623?, p1, 1]}
s2:            {[0, p2, 2]}
union(s1, s2): {[-1.4142135623?, p1, 0), [0, p2, 2]}
------------------
s1:            {[-1.4142135623?, p1, 1]}
s2:            {[2, p2, 3]}
union(s1, s2): {[-1.4142135623?, p1, 1], [2, p2, 3]}
------------------
s1:            {[-1.4142135623?, p1, 3]}
s2:            {[0, p2, 2]}
union(s1, s2): {[-1.4142135623?, p1, 3]}
------------------
s1:            {[-2, p1, 2]}
s2:            {[-1.4142135623?, p2, 0], [1, p2, 3]}
union(s1, s2): {[-2, p1, 1), [1, p2, 3]}
------------------
s1:            {[-2, p1, 2]}
s2:            {[2, p2, 3]}
union(s1, s2): {[-2, p1, 2), [2, p2, 3]}
------------------
s1:            {[-2, p1, 2]}
s2:            {(2, p2, 3]}
union(s1, s2): {[-2, p1, 2], (2, p2, 3]}
------------------
s1:            {[-2, p1, 2]}
s2:            {(2, p1, 3]}
union(s1, s2): {[-2, p1, 3]}
------------------
s1:            {[-2, p1, 2)}
s2:            {(2, p1, 3]}
union(s1, s2): {[-2, p1, 2), (2, p1, 3]}
------------------
s1:            {[2, p1, 2]}
s2:            {[2, p2, 3]}
union(s1, s2): {[2, p2, 3]}
------------------
s1:            {[-2, p1, 0], [1, p1, 3]}
s2:            {(-oo, p2, -1.4142135623?]}
union(s1, s2): {(-oo, p2, -2), [-2, p1, 0], [1, p1, 3]}
------------------
s1:            {[-2, p1, 0], [1, p1, 3]}
s2:            {(-oo, p2, -1.4142135623?], [1, p2, 1.4142135623?], [2, p2, oo)}
union(s1, s2): {(-oo, p2, -2), [-2, p1, 0], [1, p1, 2), [2, p2, oo)}
------------------
s1:            {(-oo, p1, 1]}
s2:            {(1, p2, oo)}
union(s1, s2): {(-oo, p1, 1], (1, p2, oo)}*
------------------
s1:            {(-oo, p1, 1]}
s2:            {(1, p2, 2), [2, p1, oo)}
union(s1, s2): {(-oo, p1, 1], (1, p2, 2), [2, p1, oo)}*
PASS
(test nlsat :time 0.14 :before-memory 1465.83 :after-memory 1465.83)
1) {(-oo, ~p1, -1.4142135623?), (1.4142135623?, ~p1, oo)}
2) {(-oo, ~p1, -1.4142135623?), (1.4142135623?, ~p1, oo)}
------------------
s1:            {(-oo, p1, -13], (-12, p1, -11], [-9, p1, -7), (-7, p1, -5), (-3, p1, -2], (0, p1, 2), [4, p1, 7), (9, p1, 11), [12, p1, 14), [16, p1, 16]}
s2:            {(-10, p2, -7), [-5, p2, -4], [-2, p2, -1], [1, p2, 2), (4, p2, 5), (6, p2, 7), [8, p2, 9)}
union(s1, s2): {(-oo, p1, -13], (-12, p1, -11], (-10, p2, -7), (-7, p1, -5), [-5, p2, -4], (-3, p1, -2), [-2, p2, -1], (0, p1, 2), [4, p1, 7), [8, p2, 9), (9, p1, 11), [12, p1, 14), [16, p1, 16]}
------------------
s1:            {[-16, p1, -15), (-14, p1, -13), (-13, p1, -12), [-11, p1, -9], [-7, p1, -6), (-4, p1, 2]}
s2:            {(-oo, p2, -15], [-14, p2, -12), (-10, p2, -8), [-7, p2, -6), (-4, p2, -2], (0, p2, 1), (1, p2, 2], (4, p2, 6)}
union(s1, s2): {(-oo, p2, -15], [-14, p2, -12), [-11, p1, -10], (-10, p2, -8), [-7, p1, -6), (-4, p1, 2], (4, p2, 6)}
------------------
s1:            {(-15, p1, -13), (-13, p1, -12], (-11, p1, -8), (-8, p1, -6), (-5, p1, -4), [-2, p1, 0], (2, p1, 4], [5, p1, 6), [8, p1, 9)}
s2:            {(-oo, p2, -14], [-12, p2, -11), (-9, p2, -7), (-6, p2, -4), (-2, p2, 0), [1, p2, 2], (3, p2, 6), (6, p2, 8), [10, p2, oo)}
union(s1, s2): {(-oo, p2, -15], (-15, p1, -13), (-13, p1, -12), [-12, p2, -11), (-11, p1, -9], (-9, p2, -8], (-8, p1, -6), (-6, p2, -4), [-2, p1, 0], [1, p2, 2], (2, p1, 3], (3, p2, 6), (6, p2, 8), [8, p1, 9), [10, p2, oo)}
------------------
s1:            {[-14, p1, -12], (-10, p1, -9), [-7, p1, -5], [-3, p1, -2), (-2, p1, -1), [1, p1, 2], [3, p1, 5), (5, p1, 7], (9, p1, 10), [12, p1, oo)}
s2:            {[-10, p2, -9), [-7, p2, -4), (-2, p2, 1), (1, p2, 2], (3, p2, 5], (7, p2, 8]}
union(s1, s2): {[-14, p1, -12], [-10, p2, -9), [-7, p2, -4), [-3, p1, -2), (-2, p2, 1), [1, p1, 2], [3, p1, 3], (3, p2, 5], (5, p1, 7], (7, p2, 8], (9, p1, 10), [12, p1, oo)}
------------------
s1:            {(-14, p1, -13), (-11, p1, -9), (-9, p1, -8), (-6, p1, -5), (-4, p1, -2], [-1, p1, 1), [3, p1, 6], (8, p1, 9]}
s2:            {(-10, p2, -8), (-7, p2, -5), [-3, p2, -3], [-2, p2, -2], (0, p2, 1), [3, p2, 6), [8, p2, 9)}
union(s1, s2): {(-14, p1, -13), (-11, p1, -10], (-10, p2, -8), (-7, p2, -5), (-4, p1, -2], [-1, p1, 1), [3, p1, 6], [8, p2, 8], (8, p1, 9]}
------------------
s1:            {(-12, p1, -11), (-9, p1, -8), (-6, p1, -5], [-4, p1, -4], (-3, p1, -2), [-1, p1, 2), (2, p1, 3], (5, p1, 7]}
s2:            {(-oo, p2, -15), [-13, p2, -13], [-11, p2, -9], (-8, p2, -7], (-6, p2, -4), (-4, p2, -2), (0, p2, 3], (5, p2, 7]}
union(s1, s2): {(-oo, p2, -15), [-13, p2, -13], (-12, p1, -11), [-11, p2, -9], (-9, p1, -8), (-8, p2, -7], (-6, p2, -4), [-4, p1, -4], (-4, p2, -2), [-1, p1, 0], (0, p2, 3], (5, p1, 7]}
------------------
s1:            {(-11, p1, -8], (-6, p1, -4], (-2, p1, 0), (0, p1, 1), (2, p1, 4), [6, p1, 8), [10, p1, 11], (13, p1, 14), [16, p1, 17)}
s2:            {[-16, p2, -15], [-14, p2, -13], (-11, p2, -8], [-6, p2, -4), (-3, p2, 0]}
union(s1, s2): {[-16, p2, -15], [-14, p2, -13], (-11, p1, -8], [-6, p2, -6], (-6, p1, -4], (-3, p2, 0], (0, p1, 1), (2, p1, 4), [6, p1, 8), [10, p1, 11], (13, p1, 14), [16, p1, 17)}
------------------
s1:            {[-19, p1, -17), (-17, p1, -16), (-16, p1, -13), [-12, p1, -11), (-11, p1, -10], [-9, p1, -9], [-7, p1, -3]}
s2:            {(-oo, p2, -15), [-13, p2, -10), (-8, p2, -6], [-5, p2, -4), [-3, p2, -2), [0, p2, 3), [5, p2, 6), (8, p2, 9]}
union(s1, s2): {(-oo, p2, -16], (-16, p1, -13), [-13, p2, -11], (-11, p1, -10], [-9, p1, -9], (-8, p2, -7), [-7, p1, -3), [-3, p2, -2), [0, p2, 3), [5, p2, 6), (8, p2, 9]}
------------------
s1:            {(-10, p1, -9], (-8, p1, -6], (-5, p1, -4], [-3, p1, -2], [0, p1, 1), (1, p1, 3), [5, p1, 6], [8, p1, 9), [10, p1, oo)}
s2:            {[-10, p2, -9), [-8, p2, -7], [-6, p2, -5], (-4, p2, -2), [-1, p2, 0], [2, p2, 4], (6, p2, 7), [9, p2, 10)}
union(s1, s2): {[-10, p2, -10], (-10, p1, -9], [-8, p2, -8], (-8, p1, -6), [-6, p2, -5], (-5, p1, -4], (-4, p2, -3), [-3, p1, -2], [-1, p2, 0), [0, p1, 1), (1, p1, 2), [2, p2, 4], [5, p1, 6], (6, p2, 7), [8, p1, 9), [9, p2, 10), [10, p1, oo)}
------------------
s1:            {(-oo, p1, -10], (-9, p1, -7), (-6, p1, -5], (-4, p1, -3], (-1, p1, 1], [3, p1, 4), (5, p1, 7), [9, p1, 10), (10, p1, 11], (12, p1, 14)}
s2:            {[-16, p2, -15), (-15, p2, -13), (-11, p2, -9], (-8, p2, -5], (-3, p2, -1), [1, p2, 3)}
union(s1, s2): {(-oo, p1, -11], (-11, p2, -9], (-9, p1, -8], (-8, p2, -5], (-4, p1, -3], (-3, p2, -1), (-1, p1, 1), [1, p2, 3), [3, p1, 4), (5, p1, 7), [9, p1, 10), (10, p1, 11], (12, p1, 14)}
------------------
s1:            {(-oo, p1, -17), [-15, p1, -15], (-13, p1, -11), (-10, p1, -8], (-7, p1, -5), [-3, p1, 1], [3, p1, oo)}
s2:            {[-10, p2, -9], [-7, p2, -5], [-3, p2, -1), [0, p2, 1], [3, p2, 5), (5, p2, 6), [8, p2, 10), [11, p2, 13], [14, p2, 16]}
union(s1, s2): {(-oo, p1, -17), [-15, p1, -15], (-13, p1, -11), [-10, p2, -10], (-10, p1, -8], [-7, p2, -5], [-3, p1, 1], [3, p1, oo)}
------------------
s1:            {(-13, p1, -11], (-10, p1, -9), (-8, p1, -6), (-4, p1, -3], (-2, p1, -1], (1, p1, 2), (3, p1, 5), [7, p1, 8], [9, p1, 10), [11, p1, oo)}
s2:            {(-7, p2, -6], [-4, p2, -3), (-3, p2, -2), (-2, p2, -1], [0, p2, 0], (2, p2, 4), (6, p2, 8], (9, p2, 11], [13, p2, 14), [15, p2, oo)}
union(s1, s2): {(-13, p1, -11], (-10, p1, -9), (-8, p1, -7], (-7, p2, -6], [-4, p2, -4], (-4, p1, -3], (-3, p2, -2), (-2, p1, -1], [0, p2, 0], (1, p1, 2), (2, p2, 3], (3, p1, 5), (6, p2, 8], [9, p1, 9], (9, p2, 11), [11, p1, oo)}
------------------
s1:            {(-14, p1, -12), (-10, p1, -9), (-7, p1, -6), (-5, p1, -3), [-2, p1, -2], [0, p1, 0], (1, p1, 2), (4, p1, 7), (7, p1, oo)}
s2:            {[-18, p2, -16), (-16, p2, -14], [-13, p2, -11], [-10, p2, -9], [-7, p2, -5), [-4, p2, -4]}
union(s1, s2): {[-18, p2, -16), (-16, p2, -14], (-14, p1, -13), [-13, p2, -11], [-10, p2, -9], [-7, p2, -5), (-5, p1, -3), [-2, p1, -2], [0, p1, 0], (1, p1, 2), (4, p1, 7), (7, p1, oo)}
------------------
s1:            {(-9, p1, -8), [-7, p1, -5), [-3, p1, -1], [1, p1, 2), [3, p1, 6], [8, p1, 9), (10, p1, 12], [13, p1, 14), (16, p1, 17)}
s2:            {(-oo, p2, -16), [-14, p2, -12), [-11, p2, -9], (-8, p2, -7), [-5, p2, -2), (0, p2, 1], (3, p2, 5)}
union(s1, s2): {(-oo, p2, -16), [-14, p2, -12), [-11, p2, -9], (-9, p1, -8), (-8, p2, -7), [-7, p1, -5), [-5, p2, -3), [-3, p1, -1], (0, p2, 1), [1, p1, 2), [3, p1, 6], [8, p1, 9), (10, p1, 12], [13, p1, 14), (16, p1, 17)}
------------------
s1:            {(-oo, p1, -16], [-14, p1, -12], (-10, p1, -9], (-8, p1, -7), [-6, p1, -5), (-3, p1, -1), (-1, p1, 1), (3, p1, 5], (7, p1, 8]}
s2:            {(-18, p2, -16], [-15, p2, -14), [-13, p2, -12), (-11, p2, -9], (-7, p2, -4], [-2, p2, 0], [1, p2, oo)}
union(s1, s2): {(-oo, p1, -16], [-15, p2, -14), [-14, p1, -12], (-11, p2, -9], (-8, p1, -7), (-7, p2, -4], (-3, p1, -2), [-2, p2, -1], (-1, p1, 1), [1, p2, oo)}
------------------
s1:            {(-oo, p1, -12], (-11, p1, -10], (-8, p1, -7), [-5, p1, -4), (-2, p1, 2], (4, p1, 7), [8, p1, 9), (10, p1, 11), (12, p1, oo)}
s2:            {(-oo, p2, -8], [-7, p2, -5], [-4, p2, -2), (0, p2, 2), (3, p2, 7], (9, p2, 11], [12, p2, 16], (17, p2, 19]}
union(s1, s2): {(-oo, p2, -8], (-8, p1, -7), [-7, p2, -5), [-5, p1, -4), [-4, p2, -2), (-2, p1, 2], (3, p2, 7], [8, p1, 9), (9, p2, 11], [12, p2, 12], (12, p1, oo)}
------------------
s1:            {(-13, p1, -11), (-10, p1, -8], (-7, p1, -6), [-4, p1, -2), [-1, p1, 2), (3, p1, 4], (6, p1, 8), (8, p1, oo)}
s2:            {(-oo, p2, -18], (-16, p2, -14], [-12, p2, -10], (-9, p2, -7], (-5, p2, -3], (-1, p2, 0], [2, p2, 4], [5, p2, 6), (6, p2, 7]}
union(s1, s2): {(-oo, p2, -18], (-16, p2, -14], (-13, p1, -12), [-12, p2, -10], (-10, p1, -9], (-9, p2, -7], (-7, p1, -6), (-5, p2, -4), [-4, p1, -2), [-1, p1, 2), [2, p2, 4], [5, p2, 6), (6, p1, 8), (8, p1, oo)}
------------------
s1:            {(-oo, p1, -9], [-8, p1, -6), (-6, p1, -5], [-3, p1, -2], (0, p1, 2), (3, p1, 5), (5, p1, 6), [7, p1, 8), [10, p1, 11), (13, p1, oo)}
s2:            {(-13, p2, -12), (-10, p2, -9], (-8, p2, -7], [-6, p2, -4], (-2, p2, -1], [0, p2, 1], [3, p2, 4), [5, p2, 6), (6, p2, 7]}
union(s1, s2): {(-oo, p1, -9], [-8, p1, -6), [-6, p2, -4], [-3, p1, -2], (-2, p2, -1], [0, p2, 0], (0, p1, 2), [3, p2, 3], (3, p1, 5), [5, p2, 6), (6, p2, 7), [7, p1, 8), [10, p1, 11), (13, p1, oo)}
------------------
s1:            {[-15, p1, -15], (-14, p1, -12], [-10, p1, -8], [-7, p1, -7], (-5, p1, 2], [4, p1, 5]}
s2:            {(-14, p2, -13], (-11, p2, -9], [-7, p2, -6), [-5, p2, -3], [-2, p2, -2], [-1, p2, 0], (1, p2, 2), [4, p2, 5], [7, p2, 8], (9, p2, 10], (11, p2, oo)}
union(s1, s2): {[-15, p1, -15], (-14, p1, -12], (-11, p2, -10), [-10, p1, -8], [-7, p2, -6), [-5, p2, -5], (-5, p1, 2], [4, p1, 5], [7, p2, 8], (9, p2, 10], (11, p2, oo)}
------------------
s1:            {(-14, p1, -12], (-11, p1, -10], [-9, p1, -8), (-7, p1, -6], (-4, p1, -3), (-2, p1, -1], (1, p1, 2], (3, p1, 6]}
s2:            {(-oo, p2, -17), (-15, p2, -14), (-12, p2, -10], [-8, p2, -8], (-6, p2, -5), [-4, p2, -3), (-2, p2, 0], [1, p2, 3], [5, p2, 7], (8, p2, 9)}
union(s1, s2): {(-oo, p2, -17), (-15, p2, -14), (-14, p1, -12], (-12, p2, -10], [-9, p1, -8), [-8, p2, -8], (-7, p1, -6], (-6, p2, -5), [-4, p2, -3), (-2, p2, 0], [1, p2, 3], (3, p1, 5), [5, p2, 7], (8, p2, 9)}
------------------
s1:            {(-oo, p1, -15), (-14, p1, -13], [-12, p1, -11), (-10, p1, -8], [-6, p1, -4], (-3, p1, -2], (0, p1, 1), (3, p1, 5], [7, p1, 11]}
s2:            {[-11, p2, -10), (-10, p2, -9], [-7, p2, -6), (-4, p2, -2), [0, p2, 3], (4, p2, 5), (5, p2, 6), (6, p2, 7], (9, p2, oo)}
union(s1, s2): {(-oo, p1, -15), (-14, p1, -13], [-12, p1, -11), [-11, p2, -10), (-10, p1, -8], [-7, p2, -6), [-6, p1, -4], (-4, p2, -3], (-3, p1, -2], [0, p2, 3], (3, p1, 5], (5, p2, 6), (6, p2, 7), [7, p1, 9], (9, p2, oo)}
------------------
s1:            {(-8, p1, -6], (-4, p1, -3], [-1, p1, 1), (1, p1, 2], (4, p1, 5), (7, p1, 9], [11, p1, 13), [14, p1, 15]}
s2:            {(-oo, p2, -16], (-14, p2, -13), (-13, p2, -12), (-10, p2, -9], (-7, p2, -6], [-5, p2, -3], (-2, p2, 1), (2, p2, 3), [5, p2, 6], (7, p2, oo)}
union(s1, s2): {(-oo, p2, -16], (-14, p2, -13), (-13, p2, -12), (-10, p2, -9], (-8, p1, -6], [-5, p2, -3], (-2, p2, 1), (1, p1, 2], (2, p2, 3), (4, p1, 5), [5, p2, 6], (7, p2, oo)}
------------------
s1:            {(-8, p1, -7], (-5, p1, -3), (-3, p1, -1), [1, p1, 4], [5, p1, 7], (8, p1, 10), (10, p1, 11], [13, p1, oo)}
s2:            {(-oo, p2, -19], (-17, p2, -12), [-11, p2, -11], (-10, p2, -9), (-8, p2, -7], (-6, p2, -1), [0, p2, oo)}
union(s1, s2): {(-oo, p2, -19], (-17, p2, -12), [-11, p2, -11], (-10, p2, -9), (-8, p1, -7], (-6, p2, -1), [0, p2, oo)}
------------------
s1:            {(-11, p1, -10], [-8, p1, -7), (-7, p1, -6], (-4, p1, -3), (-3, p1, -1], (1, p1, 2], (4, p1, 7), [8, p1, 10], [11, p1, 12], (13, p1, oo)}
s2:            {[-9, p2, -8], (-6, p2, -5), [-4, p2, -3), (-3, p2, -2), (-2, p2, -1), (0, p2, 2), [3, p2, 5], [6, p2, 8]}
union(s1, s2): {(-11, p1, -10], [-9, p2, -8), [-8, p1, -7), (-7, p1, -6], (-6, p2, -5), [-4, p2, -3), (-3, p1, -1], (0, p2, 1], (1, p1, 2], [3, p2, 4], (4, p1, 6), [6, p2, 8), [8, p1, 10], [11, p1, 12], (13, p1, oo)}
------------------
s1:            {[-9, p1, -8), (-6, p1, -2), (-1, p1, 1), (2, p1, 6), (7, p1, 9], (10, p1, 11], (13, p1, 14], [15, p1, 16)}
s2:            {[-20, p2, -19), [-18, p2, -16], [-15, p2, -13], [-11, p2, -10], [-9, p2, -7], [-6, p2, -5), [-3, p2, -2), (0, p2, 1]}
union(s1, s2): {[-20, p2, -19), [-18, p2, -16], [-15, p2, -13], [-11, p2, -10], [-9, p2, -7], [-6, p2, -6], (-6, p1, -2), (-1, p1, 0], (0, p2, 1], (2, p1, 6), (7, p1, 9], (10, p1, 11], (13, p1, 14], [15, p1, 16)}
------------------
s1:            {[-11, p1, -9), [-7, p1, -6], (-5, p1, -4), (-2, p1, 1], (3, p1, 4), (6, p1, 9), (11, p1, 12], (14, p1, 15), (15, p1, oo)}
s2:            {[-18, p2, -17], (-16, p2, -14], (-13, p2, -12), (-12, p2, -11], (-10, p2, -9), [-7, p2, -7], (-6, p2, -5], (-4, p2, -3)}
union(s1, s2): {[-18, p2, -17], (-16, p2, -14], (-13, p2, -12), (-12, p2, -11), [-11, p1, -9), [-7, p1, -6], (-6, p2, -5], (-5, p1, -4), (-4, p2, -3), (-2, p1, 1], (3, p1, 4), (6, p1, 9), (11, p1, 12], (14, p1, 15), (15, p1, oo)}
------------------
s1:            {(-8, p1, -6), (-4, p1, -3), [-2, p1, 0), (2, p1, 5), [7, p1, 7], (9, p1, 10], [11, p1, 12], [14, p1, oo)}
s2:            {[-12, p2, -12], (-11, p2, -10], (-8, p2, -6], [-4, p2, 0), (0, p2, 2), (4, p2, 5), (7, p2, 9), [11, p2, oo)}
union(s1, s2): {[-12, p2, -12], (-11, p2, -10], (-8, p2, -6], [-4, p2, 0), (0, p2, 2), (2, p1, 5), [7, p1, 7], (7, p2, 9), (9, p1, 10], [11, p2, oo)}
------------------
s1:            {[-10, p1, -9), [-8, p1, -6], (-5, p1, -4], [-2, p1, 0], [2, p1, 3), [4, p1, 5), [6, p1, 6], (7, p1, 10)}
s2:            {(-14, p2, -13), (-13, p2, -11], [-9, p2, -8], (-6, p2, -5), [-3, p2, -1), [1, p2, 2), (4, p2, 5), [7, p2, 8], [9, p2, 11)}
union(s1, s2): {(-14, p2, -13), (-13, p2, -11], [-10, p1, -9), [-9, p2, -8), [-8, p1, -6], (-6, p2, -5), (-5, p1, -4], [-3, p2, -2), [-2, p1, 0], [1, p2, 2), [2, p1, 3), [4, p1, 5), [6, p1, 6], [7, p2, 7], (7, p1, 9), [9, p2, 11)}
------------------
s1:            {(-oo, p1, -17), (-17, p1, -16), (-16, p1, -15], (-14, p1, -13], [-11, p1, -10], (-8, p1, -4], (-3, p1, 1), [2, p1, 3), (3, p1, 4)}
s2:            {[-15, p2, -12], [-10, p2, -8), [-6, p2, -4], (-3, p2, -1), [1, p2, 4), [5, p2, 7)}
union(s1, s2): {(-oo, p1, -17), (-17, p1, -16), (-16, p1, -15), [-15, p2, -12], [-11, p1, -10), [-10, p2, -8), (-8, p1, -4], (-3, p1, 1), [1, p2, 4), [5, p2, 7)}
------------------
s1:            {[-18, p1, -17], (-16, p1, -15), [-13, p1, -10], [-9, p1, -7], [-6, p1, -5), [-3, p1, -1), (0, p1, 2], (3, p1, 5]}
s2:            {(-9, p2, -8), (-6, p2, -4), [-2, p2, -1], (1, p2, 2), (3, p2, 6), (8, p2, 10), [12, p2, 14], (15, p2, oo)}
union(s1, s2): {[-18, p1, -17], (-16, p1, -15), [-13, p1, -10], [-9, p1, -7], [-6, p1, -6], (-6, p2, -4), [-3, p1, -2), [-2, p2, -1], (0, p1, 2], (3, p2, 6), (8, p2, 10), [12, p2, 14], (15, p2, oo)}
------------------
s1:            {(-18, p1, -16], [-14, p1, -12], [-10, p1, -9), (-9, p1, -8), [-7, p1, -4], [-3, p1, -3], [-1, p1, 1), [2, p1, 2]}
s2:            {(-17, p2, -16), [-15, p2, -14), (-14, p2, -13), [-11, p2, -10), (-8, p2, -7), (-5, p2, -4), (-2, p2, -1], (0, p2, 2), (3, p2, 4], (5, p2, 6]}
union(s1, s2): {(-18, p1, -16], [-15, p2, -14), [-14, p1, -12], [-11, p2, -10), [-10, p1, -9), (-9, p1, -8), (-8, p2, -7), [-7, p1, -4], [-3, p1, -3], (-2, p2, -1), [-1, p1, 0], (0, p2, 2), [2, p1, 2], (3, p2, 4], (5, p2, 6]}
------------------
s1:            {(-11, p1, -9], [-7, p1, -6), [-4, p1, -1), [0, p1, 1), (3, p1, 5), (6, p1, 8), [10, p1, 12], (14, p1, oo)}
s2:            {[-10, p2, -8), (-6, p2, -5), (-4, p2, -3), [-2, p2, -2], (-1, p2, 0], [2, p2, 4], (5, p2, 6), (8, p2, 10], [12, p2, oo)}
union(s1, s2): {(-11, p1, -10), [-10, p2, -8), [-7, p1, -6), (-6, p2, -5), [-4, p1, -1), (-1, p2, 0), [0, p1, 1), [2, p2, 3], (3, p1, 5), (5, p2, 6), (6, p1, 8), (8, p2, 10), [10, p1, 12), [12, p2, oo)}
------------------
s1:            {[-17, p1, -15), (-15, p1, -13], [-12, p1, -10), (-9, p1, -7), [-6, p1, -4), (-4, p1, -3), [-2, p1, 2], [3, p1, oo)}
s2:            {(-17, p2, -16), (-15, p2, -12], [-11, p2, -9], [-7, p2, -5), [-4, p2, -3), [-1, p2, 1], [2, p2, 3), (3, p2, oo)}
union(s1, s2): {[-17, p1, -15), (-15, p2, -12), [-12, p1, -11), [-11, p2, -9], (-9, p1, -7), [-7, p2, -6), [-6, p1, -4), [-4, p2, -3), [-2, p1, 2), [2, p2, 3), [3, p1, oo)}
------------------
s1:            {(-oo, p1, -12], [-11, p1, -8], (-6, p1, -5], (-3, p1, -1), [1, p1, 2], [3, p1, 4), (5, p1, 6), [7, p1, 8], (9, p1, 11], [13, p1, oo)}
s2:            {[-13, p2, -11], [-10, p2, -8), (-7, p2, -6), [-4, p2, -2], [0, p2, 0], [1, p2, 2), (3, p2, 4], [6, p2, 7), [9, p2, 12]}
union(s1, s2): {(-oo, p1, -13), [-13, p2, -11), [-11, p1, -8], (-7, p2, -6), (-6, p1, -5], [-4, p2, -3], (-3, p1, -1), [0, p2, 0], [1, p1, 2], [3, p1, 3], (3, p2, 4], (5, p1, 6), [6, p2, 7), [7, p1, 8], [9, p2, 12], [13, p1, oo)}
------------------
s1:            {[-18, p1, -17], (-16, p1, -14), (-13, p1, -11), [-9, p1, -7), (-5, p1, -3), (-2, p1, -1), (0, p1, 3]}
s2:            {(-oo, p2, -11), (-9, p2, -8), [-7, p2, -6), (-6, p2, -5], (-3, p2, -1), [0, p2, 2), (4, p2, 6), (6, p2, 7), [8, p2, 10), [11, p2, 12), [13, p2, 14]}
union(s1, s2): {(-oo, p2, -11), [-9, p1, -7), [-7, p2, -6), (-6, p2, -5], (-5, p1, -3), (-3, p2, -1), [0, p2, 0], (0, p1, 3], (4, p2, 6), (6, p2, 7), [8, p2, 10), [11, p2, 12), [13, p2, 14]}
------------------
s1:            {(-17, p1, -15], (-13, p1, -9], [-8, p1, -7], (-5, p1, -4], [-3, p1, -1]}
s2:            {[-7, p2, -4), (-4, p2, -3], (-1, p2, 0), [1, p2, 5], (6, p2, 7), (7, p2, 8), [10, p2, 11)}
union(s1, s2): {(-17, p1, -15], (-13, p1, -9], [-8, p1, -7), [-7, p2, -5], (-5, p1, -4], (-4, p2, -3), [-3, p1, -1], (-1, p2, 0), [1, p2, 5], (6, p2, 7), (7, p2, 8), [10, p2, 11)}
------------------
s1:            {(-oo, p1, -13], [-12, p1, -10), [-9, p1, -6), [-4, p1, -2), [-1, p1, 1), (3, p1, 4), (5, p1, 7], [9, p1, 11), (11, p1, 12], (14, p1, 15]}
s2:            {[-14, p2, -12), (-11, p2, -10), [-8, p2, -7), [-5, p2, -5], (-4, p2, -3], [-1, p2, 1], (2, p2, 3), (3, p2, 5), (7, p2, 8], [10, p2, oo)}
union(s1, s2): {(-oo, p1, -14), [-14, p2, -12), [-12, p1, -10), [-9, p1, -6), [-5, p2, -5], [-4, p1, -2), [-1, p2, 1], (2, p2, 3), (3, p2, 5), (5, p1, 7], (7, p2, 8], [9, p1, 10), [10, p2, oo)}
------------------
s1:            {[-9, p1, -8), [-7, p1, -5], [-3, p1, -3], (-1, p1, 1), (1, p1, 3), [5, p1, 6), (6, p1, 8)}
s2:            {(-oo, p2, -18], (-17, p2, -13], [-11, p2, -10), (-8, p2, -7), (-7, p2, -4], [-3, p2, oo)}
union(s1, s2): {(-oo, p2, -18], (-17, p2, -13], [-11, p2, -10), [-9, p1, -8), (-8, p2, -7), [-7, p1, -7], (-7, p2, -4], [-3, p2, oo)}
------------------
s1:            {[-17, p1, -14), [-13, p1, -11), (-11, p1, -10), (-8, p1, -7], (-6, p1, -4], (-3, p1, -1), (1, p1, 2), [3, p1, 5), (7, p1, oo)}
s2:            {[-18, p2, -17), (-16, p2, -14), [-12, p2, -12], [-11, p2, -9), (-8, p2, -4), [-3, p2, -1], (1, p2, 2), (3, p2, 4)}
union(s1, s2): {[-18, p2, -17), [-17, p1, -14), [-13, p1, -11), [-11, p2, -9), (-8, p2, -6], (-6, p1, -4], [-3, p2, -1], (1, p1, 2), [3, p1, 5), (7, p1, oo)}
------------------
s1:            {[-15, p1, -14), (-13, p1, -9), [-7, p1, -5), [-4, p1, -2], [0, p1, 2), [3, p1, 4]}
s2:            {(-9, p2, -7), [-6, p2, -3], (-2, p2, -1], (0, p2, 1), [3, p2, 4), [5, p2, 6], [7, p2, 8), (9, p2, 11)}
union(s1, s2): {[-15, p1, -14), (-13, p1, -9), (-9, p2, -7), [-7, p1, -6), [-6, p2, -4), [-4, p1, -2], (-2, p2, -1], [0, p1, 2), [3, p1, 4], [5, p2, 6], [7, p2, 8), (9, p2, 11)}
------------------
s1:            {[-20, p1, -18], (-17, p1, -16), [-14, p1, -12), [-11, p1, -9], [-8, p1, -6), (-4, p1, -2], [-1, p1, -1], (1, p1, 3], (5, p1, 6), (6, p1, 7]}
s2:            {(-13, p2, -12), [-11, p2, -10), [-8, p2, -7), [-6, p2, -5), (-5, p2, -4), (-3, p2, -1), (-1, p2, 0), (0, p2, 3]}
union(s1, s2): {[-20, p1, -18], (-17, p1, -16), [-14, p1, -12), [-11, p1, -9], [-8, p1, -6), [-6, p2, -5), (-5, p2, -4), (-4, p1, -3], (-3, p2, -1), [-1, p1, -1], (-1, p2, 0), (0, p2, 3], (5, p1, 6), (6, p1, 7]}
------------------
s1:            {(-11, p1, -9], [-7, p1, -6), (-6, p1, -4), [-3, p1, 0], [2, p1, 3), (5, p1, 7]}
s2:            {[-9, p2, -6], (-4, p2, -3], (-2, p2, -1), [0, p2, 1], (3, p2, 6], [7, p2, 9), [10, p2, 11], (12, p2, 13]}
union(s1, s2): {(-11, p1, -9), [-9, p2, -6], (-6, p1, -4), (-4, p2, -3), [-3, p1, 0), [0, p2, 1], [2, p1, 3), (3, p2, 5], (5, p1, 7), [7, p2, 9), [10, p2, 11], (12, p2, 13]}
------------------
s1:            {[-8, p1, -6), (-6, p1, -5), (-5, p1, -4], [-2, p1, -1), [1, p1, 2], [4, p1, 6), [8, p1, 10], (11, p1, 12], (13, p1, 16]}
s2:            {(-oo, p2, -10], [-8, p2, -4), (-4, p2, -3), (-2, p2, 0], [1, p2, 7], [9, p2, oo)}
union(s1, s2): {(-oo, p2, -10], [-8, p2, -5], (-5, p1, -4], (-4, p2, -3), [-2, p1, -2], (-2, p2, 0], [1, p2, 7], [8, p1, 9), [9, p2, oo)}
------------------
s1:            {(-oo, p1, -15], (-13, p1, -12], [-10, p1, -9), (-7, p1, -5), (-5, p1, -4], [-3, p1, -2), [0, p1, 1), [3, p1, 4), (6, p1, 9]}
s2:            {(-oo, p2, -19), (-19, p2, -16], [-15, p2, -14], [-12, p2, -10), (-10, p2, -8], [-7, p2, -6), (-4, p2, 0), [1, p2, 3]}
union(s1, s2): {(-oo, p1, -15), [-15, p2, -14], (-13, p1, -12), [-12, p2, -10), [-10, p1, -10], (-10, p2, -8], [-7, p2, -7], (-7, p1, -5), (-5, p1, -4], (-4, p2, 0), [0, p1, 1), [1, p2, 3), [3, p1, 4), (6, p1, 9]}
------------------
s1:            {[-9, p1, -8), [-6, p1, -4], (-3, p1, -2], (0, p1, 2), (2, p1, 3), (3, p1, 4), (4, p1, 8), (8, p1, 11]}
s2:            {(-13, p2, -11), (-9, p2, -7), [-5, p2, -4), (-3, p2, -1], [1, p2, 3), (3, p2, 5], (7, p2, 8]}
union(s1, s2): {(-13, p2, -11), [-9, p1, -9], (-9, p2, -7), [-6, p1, -4], (-3, p2, -1], (0, p1, 1), [1, p2, 3), (3, p2, 4], (4, p1, 7], (7, p2, 8], (8, p1, 11]}
------------------
s1:            {[-19, p1, -18), (-17, p1, -15), [-14, p1, -7], [-6, p1, -6], (-5, p1, oo)}
s2:            {(-14, p2, -13), [-11, p2, -7], [-6, p2, -5), [-3, p2, 0], [1, p2, 2), (3, p2, 4), (5, p2, 6), (8, p2, oo)}
union(s1, s2): {[-19, p1, -18), (-17, p1, -15), [-14, p1, -7], [-6, p2, -5), (-5, p1, oo)}
------------------
s1:            {[-14, p1, -13], [-11, p1, -10], [-9, p1, -8], [-7, p1, -6), [-5, p1, 1), (2, p1, 3]}
s2:            {[-10, p2, -9), [-7, p2, -6), [-5, p2, -3], [-2, p2, 0], [2, p2, 3), [5, p2, 6), (7, p2, 9), [10, p2, 11]}
union(s1, s2): {[-14, p1, -13], [-11, p1, -10), [-10, p2, -9), [-9, p1, -8], [-7, p1, -6), [-5, p1, 1), [2, p2, 2], (2, p1, 3], [5, p2, 6), (7, p2, 9), [10, p2, 11]}
------------------
s1:            {(-12, p1, -11), [-9, p1, -9], (-8, p1, -7), (-7, p1, -5), (-3, p1, -2], (-1, p1, 0], (1, p1, 4), (5, p1, 6], [7, p1, 8)}
s2:            {[-16, p2, -14], (-13, p2, -12), (-12, p2, -11], [-9, p2, -8], [-6, p2, -4], [-3, p2, -2], (-1, p2, 2), (3, p2, 4), (4, p2, 5], [7, p2, oo)}
union(s1, s2): {[-16, p2, -14], (-13, p2, -12), (-12, p2, -11], [-9, p2, -8], (-8, p1, -7), (-7, p1, -6), [-6, p2, -4], [-3, p2, -2], (-1, p2, 1], (1, p1, 4), (4, p2, 5], (5, p1, 6], [7, p2, oo)}
------------------
s1:            {[-13, p1, -11], (-9, p1, -7), (-7, p1, -5], (-3, p1, -2], [-1, p1, 1], [2, p1, 3), [5, p1, 7), (9, p1, 10]}
s2:            {(-8, p2, -7], (-6, p2, -5], [-4, p2, -2), (0, p2, 2], (3, p2, 4), (5, p2, 6], (7, p2, 8], [10, p2, 11)}
union(s1, s2): {[-13, p1, -11], (-9, p1, -8], (-8, p2, -7], (-7, p1, -5], [-4, p2, -3], (-3, p1, -2], [-1, p1, 0], (0, p2, 2), [2, p1, 3), (3, p2, 4), [5, p1, 7), (7, p2, 8], (9, p1, 10), [10, p2, 11)}
------------------
s1:            {(-12, p1, -10), [-9, p1, -8), [-6, p1, -5), (-3, p1, -1], [1, p1, 3], (5, p1, 6], [7, p1, 7], [9, p1, 10), (12, p1, oo)}
s2:            {[-11, p2, -9), (-9, p2, -8), (-6, p2, -4], [-3, p2, 1], [2, p2, 3], (4, p2, 5), [7, p2, 9], [11, p2, oo)}
union(s1, s2): {(-12, p1, -11), [-11, p2, -9), [-9, p1, -8), [-6, p1, -6], (-6, p2, -4], [-3, p2, 1), [1, p1, 3], (4, p2, 5), (5, p1, 6], [7, p2, 9), [9, p1, 10), [11, p2, oo)}
------------------
s1:            {[-10, p1, -8], (-7, p1, -4), [-3, p1, -3], [-1, p1, 0], [2, p1, 3), [4, p1, 5], (6, p1, 8], [10, p1, 11], (13, p1, 14)}
s2:            {(-oo, p2, -12], (-10, p2, -8], (-7, p2, -6], (-5, p2, -4), (-4, p2, -1], (0, p2, 2], [4, p2, 8]}
union(s1, s2): {(-oo, p2, -12], [-10, p1, -8], (-7, p1, -4), (-4, p2, -1), [-1, p1, 0], (0, p2, 2), [2, p1, 3), [4, p2, 8], [10, p1, 11], (13, p1, 14)}
------------------
s1:            {[-10, p1, -9), [-7, p1, -6), (-4, p1, -2), [0, p1, 0], (2, p1, 3), [5, p1, 6), [7, p1, 9), (9, p1, 10), (12, p1, 14], [16, p1, 18], [19, p1, oo)}
s2:            {(-10, p2, -9], [-7, p2, -3], [-1, p2, 1], (2, p2, 4], [5, p2, 8), [9, p2, 10), (10, p2, 12), (14, p2, oo)}
union(s1, s2): {[-10, p1, -10], (-10, p2, -9], [-7, p2, -4], (-4, p1, -2), [-1, p2, 1], (2, p2, 4], [5, p2, 7), [7, p1, 9), [9, p2, 10), (10, p2, 12), (12, p1, 14], (14, p2, oo)}
------------------
s1:            {(-oo, p1, -16), (-16, p1, -15), (-13, p1, -11), [-9, p1, -7), [-6, p1, 0), [2, p1, 4]}
s2:            {(-oo, p2, -18], [-16, p2, -16], (-15, p2, -14], [-12, p2, -10], [-8, p2, -7), (-7, p2, -6), [-5, p2, -5], [-4, p2, -3], [-1, p2, 1)}
union(s1, s2): {(-oo, p1, -16), [-16, p2, -16], (-16, p1, -15), (-15, p2, -14], (-13, p1, -12), [-12, p2, -10], [-9, p1, -7), (-7, p2, -6), [-6, p1, -1), [-1, p2, 1), [2, p1, 4]}
------------------
s1:            {(-oo, p1, -13), (-12, p1, -11], [-10, p1, -10], (-9, p1, -8), (-6, p1, -4], (-3, p1, -2), [-1, p1, 1), (1, p1, 4), (6, p1, 7), (7, p1, 8)}
s2:            {[-13, p2, -12), (-11, p2, -9], [-7, p2, -6), [-5, p2, -1), (0, p2, 3), (4, p2, oo)}
union(s1, s2): {(-oo, p1, -13), [-13, p2, -12), (-12, p1, -11], (-11, p2, -9], (-9, p1, -8), [-7, p2, -6), (-6, p1, -5), [-5, p2, -1), [-1, p1, 0], (0, p2, 1], (1, p1, 4), (4, p2, oo)}
------------------
s1:            {[-10, p1, -8], [-7, p1, -6), (-6, p1, -4], [-2, p1, -1], (1, p1, 3), [4, p1, 5), (5, p1, 6]}
s2:            {[-11, p2, -10], [-8, p2, -7), (-5, p2, -4), [-2, p2, -1], (0, p2, 2), (2, p2, 6), (7, p2, 8), (10, p2, 11), [13, p2, 15)}
union(s1, s2): {[-11, p2, -10), [-10, p1, -8), [-8, p2, -7), [-7, p1, -6), (-6, p1, -4], [-2, p1, -1], (0, p2, 1], (1, p1, 2], (2, p2, 5], (5, p1, 6], (7, p2, 8), (10, p2, 11), [13, p2, 15)}
------------------
s1:            {(-16, p1, -13), (-13, p1, -11), [-10, p1, -5), [-3, p1, -1), (1, p1, 2), [4, p1, 6], (8, p1, 9)}
s2:            {(-14, p2, -13), [-11, p2, -10), [-8, p2, -7), (-7, p2, -6), (-5, p2, -4], (-2, p2, -1), (0, p2, 1), (3, p2, 5), [7, p2, oo)}
union(s1, s2): {(-16, p1, -13), (-13, p1, -11), [-11, p2, -10), [-10, p1, -5), (-5, p2, -4], [-3, p1, -1), (0, p2, 1), (1, p1, 2), (3, p2, 4), [4, p1, 6], [7, p2, oo)}
------------------
s1:            {(-11, p1, -10), (-10, p1, -8), [-7, p1, -4), (-4, p1, -3], (-1, p1, 0], (2, p1, 4], [5, p1, 6), (7, p1, oo)}
s2:            {[-14, p2, -14], [-13, p2, -12), [-11, p2, -8), (-8, p2, -6], [-5, p2, -4), [-2, p2, -1), [0, p2, 1], [3, p2, oo)}
union(s1, s2): {[-14, p2, -14], [-13, p2, -12), [-11, p2, -8), (-8, p2, -7), [-7, p1, -4), (-4, p1, -3], [-2, p2, -1), (-1, p1, 0), [0, p2, 1], (2, p1, 3), [3, p2, oo)}
------------------
s1:            {(-oo, p1, -18), (-16, p1, -15), (-15, p1, -14], [-13, p1, -11), (-11, p1, -9], [-8, p1, -7], (-5, p1, -1), (0, p1, 1], (2, p1, 3], [4, p1, 5]}
s2:            {(-oo, p2, -14), (-12, p2, -11), [-10, p2, -9], [-7, p2, -5), [-4, p2, 0], [2, p2, 2], (4, p2, 6), (8, p2, 9), [10, p2, 12)}
union(s1, s2): {(-oo, p2, -15], (-15, p1, -14], [-13, p1, -11), (-11, p1, -9], [-8, p1, -7), [-7, p2, -5), (-5, p1, -4), [-4, p2, 0], (0, p1, 1], [2, p2, 2], (2, p1, 3], [4, p1, 4], (4, p2, 6), (8, p2, 9), [10, p2, 12)}
------------------
s1:            {[-13, p1, -12], [-10, p1, -9), [-7, p1, -4), [-2, p1, 0], (2, p1, 6), (6, p1, oo)}
s2:            {(-14, p2, -13), (-13, p2, -12], [-11, p2, -9], [-8, p2, -7], (-6, p2, -4], (-2, p2, 1), (3, p2, 4], (6, p2, 8]}
union(s1, s2): {(-14, p2, -13), [-13, p1, -12], [-11, p2, -9], [-8, p2, -7), [-7, p1, -6], (-6, p2, -4], [-2, p1, -2], (-2, p2, 1), (2, p1, 6), (6, p1, oo)}
------------------
s1:            {(-oo, p1, -16], [-14, p1, -12], [-10, p1, -8], (-6, p1, -4), [-2, p1, -1), [1, p1, 3], (5, p1, 6], (8, p1, 10), (10, p1, 12], [14, p1, 15]}
s2:            {(-17, p2, -16], (-15, p2, -14], (-13, p2, -9], [-7, p2, 1], (3, p2, 4]}
union(s1, s2): {(-oo, p1, -16], (-15, p2, -14), [-14, p1, -13], (-13, p2, -10), [-10, p1, -8], [-7, p2, 1), [1, p1, 3], (3, p2, 4], (5, p1, 6], (8, p1, 10), (10, p1, 12], [14, p1, 15]}
------------------
s1:            {(-14, p1, -13), (-12, p1, -11), (-9, p1, -8), (-7, p1, -5], (-3, p1, -1], [0, p1, 1), (3, p1, 4], (5, p1, 6], (8, p1, 9)}
s2:            {(-9, p2, -8), (-7, p2, -6], (-5, p2, -2], [0, p2, 1], (2, p2, 4], (5, p2, 7]}
union(s1, s2): {(-14, p1, -13), (-12, p1, -11), (-9, p1, -8), (-7, p1, -5], (-5, p2, -3], (-3, p1, -1], [0, p2, 1], (2, p2, 4], (5, p2, 7], (8, p1, 9)}
------------------
s1:            {[-11, p1, -9], [-7, p1, -5), [-3, p1, 0], [2, p1, 3), (5, p1, 7), [8, p1, 14]}
s2:            {(-18, p2, -17), (-17, p2, -15), [-14, p2, -12], [-10, p2, -9], [-8, p2, -6], (-4, p2, -3), (-3, p2, -1], (1, p2, 2), [4, p2, 5), [6, p2, oo)}
union(s1, s2): {(-18, p2, -17), (-17, p2, -15), [-14, p2, -12], [-11, p1, -9], [-8, p2, -7), [-7, p1, -5), (-4, p2, -3), [-3, p1, 0], (1, p2, 2), [2, p1, 3), [4, p2, 5), (5, p1, 6), [6, p2, oo)}
------------------
s1:            {(-10, p1, -9], (-8, p1, -6], (-4, p1, -3], [-2, p1, -1), (-1, p1, 1), (1, p1, 3), [4, p1, 5), (5, p1, 7), (9, p1, 11)}
s2:            {(-oo, p2, -17), (-15, p2, -14], (-12, p2, -11), (-11, p2, -10), [-8, p2, -7), (-6, p2, -5], [-4, p2, -3), [-2, p2, -1], [0, p2, 1), [2, p2, 3]}
union(s1, s2): {(-oo, p2, -17), (-15, p2, -14], (-12, p2, -11), (-11, p2, -10), (-10, p1, -9], [-8, p2, -8], (-8, p1, -6], (-6, p2, -5], [-4, p2, -4], (-4, p1, -3], [-2, p2, -1], (-1, p1, 1), (1, p1, 2), [2, p2, 3], [4, p1, 5), (5, p1, 7), (9, p1, 11)}
------------------
s1:            {[-10, p1, -5), (-4, p1, -3], (-2, p1, -1], [0, p1, 2], (4, p1, 5], [7, p1, 9], (10, p1, 12]}
s2:            {(-14, p2, -11), [-9, p2, -8), (-8, p2, -5), (-4, p2, -2), (-2, p2, 0], [1, p2, 2), (2, p2, 4)}
union(s1, s2): {(-14, p2, -11), [-10, p1, -5), (-4, p2, -2), (-2, p2, 0), [0, p1, 2], (2, p2, 4), (4, p1, 5], [7, p1, 9], (10, p1, 12]}
------------------
s1:            {(-oo, p1, -16), (-16, p1, -15), [-14, p1, -12), (-12, p1, -11), [-10, p1, -8], (-6, p1, -4], (-3, p1, -2), (0, p1, 1], [3, p1, 5]}
s2:            {(-oo, p2, -15), (-15, p2, -14), (-14, p2, -12), (-12, p2, -11], [-10, p2, -9), [-7, p2, -5), (-5, p2, -3), [-1, p2, 2]}
union(s1, s2): {(-oo, p2, -15), (-15, p2, -14), [-14, p1, -12), (-12, p2, -11], [-10, p1, -8], [-7, p2, -6], (-6, p1, -5], (-5, p2, -3), (-3, p1, -2), [-1, p2, 2], [3, p1, 5]}
------------------
s1:            {[-14, p1, -10), (-9, p1, -7), (-7, p1, -6), (-6, p1, -5], [-3, p1, -2), (-2, p1, -1), [1, p1, 4), (5, p1, oo)}
s2:            {[-9, p2, -7), (-5, p2, -3), (-2, p2, 0], (2, p2, 4), (6, p2, 8), (8, p2, 11)}
union(s1, s2): {[-14, p1, -10), [-9, p2, -7), (-7, p1, -6), (-6, p1, -5], (-5, p2, -3), [-3, p1, -2), (-2, p2, 0], [1, p1, 4), (5, p1, oo)}
------------------
s1:            {[-12, p1, -11), [-9, p1, -7], [-6, p1, -5), (-3, p1, -1), [1, p1, 2), (3, p1, 5], [7, p1, 9], (11, p1, 12], [14, p1, 16], [18, p1, oo)}
s2:            {(-14, p2, -10], [-8, p2, -7], (-6, p2, -4), [-3, p2, 0), (1, p2, 2), (3, p2, 5)}
union(s1, s2): {(-14, p2, -10], [-9, p1, -7], [-6, p1, -6], (-6, p2, -4), [-3, p2, 0), [1, p1, 2), (3, p1, 5], [7, p1, 9], (11, p1, 12], [14, p1, 16], [18, p1, oo)}
------------------
s1:            {(-11, p1, -10], [-8, p1, -5), [-4, p1, -2], [0, p1, 3], (5, p1, 6), (8, p1, 10]}
s2:            {[-18, p2, -16], [-15, p2, -13), [-12, p2, -8], (-7, p2, -6], (-4, p2, 0], [1, p2, 2], (4, p2, 5]}
union(s1, s2): {[-18, p2, -16], [-15, p2, -13), [-12, p2, -8), [-8, p1, -5), [-4, p1, -4], (-4, p2, 0), [0, p1, 3], (4, p2, 5], (5, p1, 6), (8, p1, 10]}
------------------
s1:            {(-14, p1, -13), [-11, p1, -7), [-5, p1, -4), (-3, p1, -2], [-1, p1, 0], [2, p1, 3), (4, p1, 5), (5, p1, 6), (8, p1, oo)}
s2:            {(-oo, p2, -15], (-13, p2, -12], [-11, p2, -10], (-9, p2, -8], (-7, p2, -4], [-3, p2, -1], (0, p2, 1), (3, p2, 4)}
union(s1, s2): {(-oo, p2, -15], (-14, p1, -13), (-13, p2, -12], [-11, p1, -7), (-7, p2, -4], [-3, p2, -1), [-1, p1, 0], (0, p2, 1), [2, p1, 3), (3, p2, 4), (4, p1, 5), (5, p1, 6), (8, p1, oo)}
------------------
s1:            {[-8, p1, -6), (-4, p1, -2), [-1, p1, 1], [3, p1, 7), [8, p1, 10], (12, p1, 14], (15, p1, 19)}
s2:            {(-17, p2, -16), (-15, p2, -14), (-14, p2, -13), (-12, p2, -10), [-9, p2, -7), (-6, p2, -4), (-2, p2, -1], [0, p2, 1), (3, p2, oo)}
union(s1, s2): {(-17, p2, -16), (-15, p2, -14), (-14, p2, -13), (-12, p2, -10), [-9, p2, -8), [-8, p1, -6), (-6, p2, -4), (-4, p1, -2), (-2, p2, -1), [-1, p1, 1], [3, p1, 3], (3, p2, oo)}
------------------
s1:            {(-oo, p1, -9], [-8, p1, -6], [-5, p1, -4), (-4, p1, -1], [0, p1, 1], (3, p1, 4), [6, p1, 8]}
s2:            {(-18, p2, -17), [-16, p2, -14), [-13, p2, -11), (-9, p2, -6), (-4, p2, -3), [-2, p2, 1]}
union(s1, s2): {(-oo, p1, -9], (-9, p2, -8), [-8, p1, -6], [-5, p1, -4), (-4, p1, -2), [-2, p2, 1], (3, p1, 4), [6, p1, 8]}
------------------
s1:            {(-16, p1, -15), (-13, p1, -11], [-9, p1, -8), [-7, p1, -5], (-3, p1, -2), (-2, p1, -1], [0, p1, 2), (4, p1, 6), [7, p1, 8], [10, p1, 11), [13, p1, oo)}
s2:            {(-12, p2, -11], [-9, p2, -4], (-2, p2, -1], (0, p2, 2), [4, p2, 4], (5, p2, 7)}
union(s1, s2): {(-16, p1, -15), (-13, p1, -11], [-9, p2, -4], (-3, p1, -2), (-2, p1, -1], [0, p1, 2), [4, p2, 4], (4, p1, 5], (5, p2, 7), [7, p1, 8], [10, p1, 11), [13, p1, oo)}
------------------
s1:            {(-17, p1, -16), [-14, p1, -13), [-12, p1, -10], (-8, p1, -6), [-4, p1, -3), [-1, p1, 0], (2, p1, 4]}
s2:            {(-oo, p2, -14], [-12, p2, -11], [-9, p2, -8], (-6, p2, -5), (-5, p2, -3], [-1, p2, 1), (3, p2, 4), (6, p2, 9]}
union(s1, s2): {(-oo, p2, -14), [-14, p1, -13), [-12, p1, -10], [-9, p2, -8], (-8, p1, -6), (-6, p2, -5), (-5, p2, -3], [-1, p2, 1), (2, p1, 4], (6, p2, 9]}
------------------
s1:            {(-oo, p1, -17], (-15, p1, -14], [-12, p1, -12], [-10, p1, -6), (-6, p1, -5), (-3, p1, -1], [1, p1, 4), (4, p1, 6]}
s2:            {(-oo, p2, -11), (-11, p2, -9), (-9, p2, -7), (-6, p2, -5], [-3, p2, -2), (-2, p2, -1), [0, p2, 2), [4, p2, 6]}
union(s1, s2): {(-oo, p2, -11), (-11, p2, -10), [-10, p1, -6), (-6, p2, -5], [-3, p2, -3], (-3, p1, -1], [0, p2, 1), [1, p1, 4), [4, p2, 6]}
------------------
s1:            {(-oo, p1, -17), [-15, p1, -14), (-14, p1, -12], [-10, p1, -10], (-9, p1, -8), [-6, p1, -6], [-5, p1, -5], [-3, p1, 0), (0, p1, 1]}
s2:            {[-11, p2, -11], (-10, p2, -9), [-7, p2, -5], [-4, p2, -3], [-1, p2, 0), (1, p2, 2), (3, p2, 5], [6, p2, 8], (9, p2, 11), (13, p2, 14)}
union(s1, s2): {(-oo, p1, -17), [-15, p1, -14), (-14, p1, -12], [-11, p2, -11], [-10, p1, -10], (-10, p2, -9), (-9, p1, -8), [-7, p2, -5], [-4, p2, -3), [-3, p1, 0), (0, p1, 1], (1, p2, 2), (3, p2, 5], [6, p2, 8], (9, p2, 11), (13, p2, 14)}
------------------
s1:            {[-17, p1, -16), (-16, p1, -15), [-13, p1, -11), [-9, p1, -7], [-6, p1, -6], (-5, p1, -1), (0, p1, 1), (3, p1, 4]}
s2:            {(-oo, p2, -17), [-15, p2, -13], [-12, p2, -11], (-9, p2, -6), (-6, p2, -5], [-4, p2, -3), (-1, p2, 0), (2, p2, 3], [4, p2, 4], [6, p2, oo)}
union(s1, s2): {(-oo, p2, -17), [-17, p1, -16), (-16, p1, -15), [-15, p2, -13), [-13, p1, -12), [-12, p2, -11], [-9, p1, -9], (-9, p2, -6), [-6, p1, -6], (-6, p2, -5], (-5, p1, -1), (-1, p2, 0), (0, p1, 1), (2, p2, 3], (3, p1, 4], [6, p2, oo)}
------------------
s1:            {[-16, p1, -15), [-13, p1, -11], [-10, p1, -9], [-8, p1, -6), [-5, p1, -4), (-4, p1, -3], (-2, p1, -1), [0, p1, 1], [2, p1, 5)}
s2:            {(-oo, p2, -12), (-11, p2, -8), (-6, p2, -3], [-2, p2, -1), [0, p2, 2), (2, p2, 4), [6, p2, 8], (9, p2, 10)}
union(s1, s2): {(-oo, p2, -13), [-13, p1, -11], (-11, p2, -8), [-8, p1, -6), (-6, p2, -3], [-2, p2, -1), [0, p2, 2), [2, p1, 5), [6, p2, 8], (9, p2, 10)}
------------------
s1:            {(-11, p1, -10], [-8, p1, -7), [-5, p1, -4), (-4, p1, -2), (-1, p1, 2], [4, p1, 5), [7, p1, 8), (8, p1, 9), [11, p1, 12]}
s2:            {(-16, p2, -15), (-13, p2, -12), (-11, p2, -9), [-8, p2, -7), (-6, p2, -4], (-2, p2, -1), (0, p2, 1], (2, p2, 3]}
union(s1, s2): {(-16, p2, -15), (-13, p2, -12), (-11, p2, -9), [-8, p1, -7), (-6, p2, -4], (-4, p1, -2), (-2, p2, -1), (-1, p1, 2], (2, p2, 3], [4, p1, 5), [7, p1, 8), (8, p1, 9), [11, p1, 12]}
------------------
s1:            {(-13, p1, -9), (-8, p1, -6), (-6, p1, -4), (-2, p1, -1), (0, p1, 3), (5, p1, 6)}
s2:            {(-18, p2, -17], [-15, p2, -14), [-13, p2, -13], [-11, p2, -9), [-8, p2, -6), (-5, p2, -4], [-2, p2, 0], [1, p2, 3], [4, p2, oo)}
union(s1, s2): {(-18, p2, -17], [-15, p2, -14), [-13, p2, -13], (-13, p1, -9), [-8, p2, -6), (-6, p1, -5], (-5, p2, -4], [-2, p2, 0], (0, p1, 1), [1, p2, 3], [4, p2, oo)}
------------------
s1:            {[-11, p1, -10), [-9, p1, -8], (-6, p1, -5), (-4, p1, -3], (-2, p1, -1], (1, p1, 2], (3, p1, 4), [5, p1, 6), [8, p1, 9]}
s2:            {(-oo, p2, -13), [-11, p2, -10], [-8, p2, -6), [-5, p2, -5], [-4, p2, -3), [-2, p2, -1], (0, p2, 3], [5, p2, 6), [8, p2, 9)}
union(s1, s2): {(-oo, p2, -13), [-11, p2, -10], [-9, p1, -8), [-8, p2, -6), (-6, p1, -5), [-5, p2, -5], [-4, p2, -4], (-4, p1, -3], [-2, p2, -1], (0, p2, 3], (3, p1, 4), [5, p1, 6), [8, p1, 9]}
------------------
s1:            {[-18, p1, -17), [-15, p1, -14], (-12, p1, -10), [-8, p1, -5), (-3, p1, -1), (-1, p1, 2), (2, p1, 3), (4, p1, 5]}
s2:            {[-14, p2, -13], (-11, p2, -9), [-7, p2, -3), (-3, p2, -1), [1, p2, 4)}
union(s1, s2): {[-18, p1, -17), [-15, p1, -14), [-14, p2, -13], (-12, p1, -11], (-11, p2, -9), [-8, p1, -7), [-7, p2, -3), (-3, p1, -1), (-1, p1, 1), [1, p2, 4), (4, p1, 5]}
------------------
s1:            {(-15, p1, -13), [-11, p1, -10), (-9, p1, -8], (-7, p1, -6], (-5, p1, -4), (-3, p1, -2), (-2, p1, -1], [0, p1, 1), [2, p1, 3), (4, p1, 6)}
s2:            {[-8, p2, -6), [-4, p2, -3), [-2, p2, -1], (0, p2, 2], [3, p2, 4), (5, p2, 6], [8, p2, 9), [10, p2, 13), [14, p2, 16], (17, p2, oo)}
union(s1, s2): {(-15, p1, -13), [-11, p1, -10), (-9, p1, -8), [-8, p2, -7], (-7, p1, -6], (-5, p1, -4), [-4, p2, -3), (-3, p1, -2), [-2, p2, -1], [0, p1, 0], (0, p2, 2), [2, p1, 3), [3, p2, 4), (4, p1, 5], (5, p2, 6], [8, p2, 9), [10, p2, 13), [14, p2, 16], (17, p2, oo)}
------------------
s1:            {[-8, p1, -6), [-4, p1, -3), (-1, p1, 0), [2, p1, 6), (6, p1, 7), [8, p1, 12)}
s2:            {(-17, p2, -15), (-13, p2, -11], (-9, p2, -8], [-6, p2, -4), (-3, p2, -2), (-2, p2, 2], (4, p2, oo)}
union(s1, s2): {(-17, p2, -15), (-13, p2, -11], (-9, p2, -8), [-8, p1, -6), [-6, p2, -4), [-4, p1, -3), (-3, p2, -2), (-2, p2, 2), [2, p1, 4], (4, p2, oo)}
------------------
s1:            {(-oo, p1, -14), (-13, p1, -12), (-12, p1, -10], (-9, p1, -4], [-2, p1, 2], (3, p1, 4]}
s2:            {[-19, p2, -16], [-14, p2, -12], (-11, p2, -10), (-8, p2, -6], (-4, p2, -2], [0, p2, 4), [5, p2, 6)}
union(s1, s2): {(-oo, p1, -14), [-14, p2, -12], (-12, p1, -10], (-9, p1, -4], (-4, p2, -2), [-2, p1, 0), [0, p2, 3], (3, p1, 4], [5, p2, 6)}
------------------
s1:            {(-oo, p1, -17), [-15, p1, -13), [-12, p1, -11), (-11, p1, -10], [-9, p1, -7), [-5, p1, -4), [-3, p1, -3], [-2, p1, -1), (-1, p1, 0], [1, p1, 3), (4, p1, oo)}
s2:            {(-oo, p2, -19), [-18, p2, -18], [-17, p2, -16), [-15, p2, -13), (-12, p2, -10), (-10, p2, -9), (-7, p2, -6], (-5, p2, -3], (-2, p2, 1], [2, p2, 4), (5, p2, oo)}
union(s1, s2): {(-oo, p1, -17), [-17, p2, -16), [-15, p1, -13), [-12, p1, -12], (-12, p2, -11], (-11, p1, -10], (-10, p2, -9), [-9, p1, -7), (-7, p2, -6], [-5, p1, -5], (-5, p2, -3], [-2, p1, -2], (-2, p2, 1), [1, p1, 2), [2, p2, 4), (4, p1, oo)}
------------------
s1:            {[-15, p1, -13), (-12, p1, -11), (-10, p1, -9], [-7, p1, -6], [-4, p1, -2), (-2, p1, -1], [1, p1, 6), (8, p1, 9]}
s2:            {(-19, p2, -17], [-15, p2, -15], [-14, p2, -12), (-11, p2, -9), (-8, p2, -7), (-7, p2, -5], [-4, p2, -2], (0, p2, oo)}
union(s1, s2): {(-19, p2, -17], [-15, p1, -14), [-14, p2, -12), (-12, p1, -11), (-11, p2, -10], (-10, p1, -9], (-8, p2, -7), [-7, p1, -7], (-7, p2, -5], [-4, p2, -2], (-2, p1, -1], (0, p2, oo)}
------------------
s1:            {(-oo, p1, -16), (-16, p1, -15), (-14, p1, -12), [-10, p1, -8), [-7, p1, -4), [-2, p1, 0), (0, p1, 1), (3, p1, 4), (6, p1, oo)}
s2:            {[-15, p2, -13), [-11, p2, -10), (-8, p2, -5), (-3, p2, -1), (1, p2, 3), (4, p2, 6), (8, p2, oo)}
union(s1, s2): {(-oo, p1, -16), (-16, p1, -15), [-15, p2, -14], (-14, p1, -12), [-11, p2, -10), [-10, p1, -8), (-8, p2, -7), [-7, p1, -4), (-3, p2, -2), [-2, p1, 0), (0, p1, 1), (1, p2, 3), (3, p1, 4), (4, p2, 6), (6, p1, oo)}
------------------
s1:            {[-15, p1, -11], (-10, p1, -8), [-6, p1, -4), [-3, p1, -1), [0, p1, 3), (4, p1, 5), (5, p1, 6)}
s2:            {[-11, p2, -9], [-8, p2, -4), (-3, p2, -1), [0, p2, 1), (1, p2, 2), (3, p2, 5), (6, p2, 9), (9, p2, oo)}
union(s1, s2): {[-15, p1, -11), [-11, p2, -10], (-10, p1, -8), [-8, p2, -4), [-3, p1, -1), [0, p1, 3), (3, p2, 5), (5, p1, 6), (6, p2, 9), (9, p2, oo)}
------------------
s1:            {[-14, p1, -14], (-12, p1, -10], [-9, p1, -7], (-6, p1, -4), (-4, p1, -3], (-2, p1, -1], [1, p1, 3], (4, p1, 7), (7, p1, 8]}
s2:            {[-11, p2, -9), [-8, p2, -5), [-3, p2, -2), [0, p2, 2), (2, p2, 3], (5, p2, 6], [7, p2, 9], (10, p2, 11), [13, p2, 14), [15, p2, oo)}
union(s1, s2): {[-14, p1, -14], (-12, p1, -11), [-11, p2, -9), [-9, p1, -8), [-8, p2, -6], (-6, p1, -4), (-4, p1, -3), [-3, p2, -2), (-2, p1, -1], [0, p2, 1), [1, p1, 3], (4, p1, 7), [7, p2, 9], (10, p2, 11), [13, p2, 14), [15, p2, oo)}
------------------
s1:            {(-10, p1, -7), [-5, p1, -4), [-2, p1, -1), [0, p1, 0], (2, p1, 4], [6, p1, 10], [12, p1, 12]}
s2:            {(-11, p2, -9], (-8, p2, -6), (-6, p2, -2], (0, p2, 2), (3, p2, 5), (5, p2, 6]}
union(s1, s2): {(-11, p2, -10], (-10, p1, -8], (-8, p2, -6), (-6, p2, -2), [-2, p1, -1), [0, p1, 0], (0, p2, 2), (2, p1, 3], (3, p2, 5), (5, p2, 6), [6, p1, 10], [12, p1, 12]}
------------------
s1:            {(-15, p1, -14), (-13, p1, -12], (-11, p1, -10], (-9, p1, -7], (-5, p1, -4], (-3, p1, 1], [3, p1, oo)}
s2:            {(-12, p2, -11), (-10, p2, -7], [-6, p2, -6], (-5, p2, -4], (-3, p2, -1], [0, p2, 2], (3, p2, 4)}
union(s1, s2): {(-15, p1, -14), (-13, p1, -12], (-12, p2, -11), (-11, p1, -10], (-10, p2, -7], [-6, p2, -6], (-5, p1, -4], (-3, p1, 0), [0, p2, 2], [3, p1, oo)}
------------------
s1:            {(-oo, p1, -12), [-10, p1, -7), (-5, p1, -3), [-2, p1, 0], [2, p1, 4), [5, p1, 8], (9, p1, 11), [13, p1, 15], (17, p1, 18)}
s2:            {[-17, p2, -14), [-13, p2, -12), [-10, p2, -9), (-8, p2, -7), [-5, p2, -5], (-4, p2, -3), [-1, p2, 1), [2, p2, 2], [3, p2, 5]}
union(s1, s2): {(-oo, p1, -12), [-10, p1, -7), [-5, p2, -5], (-5, p1, -3), [-2, p1, -1), [-1, p2, 1), [2, p1, 3), [3, p2, 5), [5, p1, 8], (9, p1, 11), [13, p1, 15], (17, p1, 18)}
------------------
s1:            {(-oo, p1, -12], (-10, p1, -9], [-7, p1, -7], (-5, p1, -3), [-1, p1, 1), (1, p1, 2), [3, p1, 4), (4, p1, 6], [8, p1, 10), [12, p1, 14], (16, p1, 17]}
s2:            {[-14, p2, -12), [-10, p2, -9), (-7, p2, -4), [-3, p2, -3], [-2, p2, 0], (1, p2, 2), [3, p2, 3], [5, p2, oo)}
union(s1, s2): {(-oo, p1, -12], [-10, p2, -10], (-10, p1, -9], [-7, p1, -7], (-7, p2, -5], (-5, p1, -3), [-3, p2, -3], [-2, p2, -1), [-1, p1, 1), (1, p1, 2), [3, p1, 4), (4, p1, 5), [5, p2, oo)}
------------------
s1:            {(-15, p1, -13), [-12, p1, -10], [-8, p1, -7), (-5, p1, -1), (-1, p1, 2], (3, p1, 5]}
s2:            {(-11, p2, -10], (-9, p2, -7], [-6, p2, -5), (-5, p2, -4], (-2, p2, 0), [2, p2, 4), (6, p2, 8), [10, p2, 12)}
union(s1, s2): {(-15, p1, -13), [-12, p1, -10], (-9, p2, -7], [-6, p2, -5), (-5, p1, -2], (-2, p2, -1], (-1, p1, 2), [2, p2, 3], (3, p1, 5], (6, p2, 8), [10, p2, 12)}
------------------
s1:            {(-14, p1, -12), (-12, p1, -10), (-9, p1, -8), (-6, p1, -5], (-4, p1, -3], (-1, p1, 1), (3, p1, 4), (5, p1, 6]}
s2:            {(-oo, p2, -10], (-8, p2, -6), [-5, p2, -4), [-3, p2, -2), (-2, p2, -1), (0, p2, 2), [4, p2, 5], (6, p2, 7], (9, p2, 10), (12, p2, 13]}
union(s1, s2): {(-oo, p2, -10], (-9, p1, -8), (-8, p2, -6), (-6, p1, -5), [-5, p2, -4), (-4, p1, -3), [-3, p2, -2), (-2, p2, -1), (-1, p1, 0], (0, p2, 2), (3, p1, 4), [4, p2, 5], (5, p1, 6], (6, p2, 7], (9, p2, 10), (12, p2, 13]}
------------------
s1:            {(-18, p1, -16], [-15, p1, -15], (-14, p1, -7), (-5, p1, -4), (-4, p1, -3], [-1, p1, 3)}
s2:            {(-oo, p2, -7], (-5, p2, -3), (-1, p2, 1), [2, p2, 3), (5, p2, 6), (7, p2, 8), (9, p2, 10], (12, p2, 13], (15, p2, 17], [19, p2, 20)}
union(s1, s2): {(-oo, p2, -7], (-5, p2, -4], (-4, p1, -3], [-1, p1, 3), (5, p2, 6), (7, p2, 8), (9, p2, 10], (12, p2, 13], (15, p2, 17], [19, p2, 20)}
------------------
s1:            {[-19, p1, -15], [-13, p1, -12), [-10, p1, -9], (-7, p1, -3), [-2, p1, 0)}
s2:            {[-9, p2, -8], [-7, p2, -4), (-2, p2, -1], [1, p2, 3], [4, p2, 5), (6, p2, 7), (9, p2, 10], [12, p2, 13), (15, p2, 16)}
union(s1, s2): {[-19, p1, -15], [-13, p1, -12), [-10, p1, -9), [-9, p2, -8], [-7, p2, -7], (-7, p1, -3), [-2, p1, 0), [1, p2, 3], [4, p2, 5), (6, p2, 7), (9, p2, 10], [12, p2, 13), (15, p2, 16)}
------------------
s1:            {(-oo, p1, -16), (-16, p1, -15), (-14, p1, -12), [-10, p1, -9), (-8, p1, -7), (-6, p1, -4], [-2, p1, -2], (0, p1, 2], [3, p1, oo)}
s2:            {(-oo, p2, -15), (-13, p2, -11], (-10, p2, -9), (-8, p2, -6), (-4, p2, -3], (-1, p2, 0), (2, p2, oo)}
union(s1, s2): {(-oo, p2, -15), (-14, p1, -13], (-13, p2, -11], [-10, p1, -9), (-8, p2, -6), (-6, p1, -4], (-4, p2, -3], [-2, p1, -2], (-1, p2, 0), (0, p1, 2], (2, p2, oo)}
------------------
s1:            {(-oo, p1, -8], [-7, p1, -5], [-3, p1, 1], (2, p1, 4], [5, p1, 7), (9, p1, 10), [11, p1, 12), (14, p1, 15]}
s2:            {(-10, p2, -9), [-7, p2, -5), (-5, p2, -3], [-1, p2, 1], [2, p2, 4], [6, p2, 9), (11, p2, 13), [15, p2, 16)}
union(s1, s2): {(-oo, p1, -8], [-7, p1, -5], (-5, p2, -3), [-3, p1, 1], [2, p2, 4], [5, p1, 6), [6, p2, 9), (9, p1, 10), [11, p1, 11], (11, p2, 13), (14, p1, 15), [15, p2, 16)}
------------------
s1:            {(-18, p1, -17], [-16, p1, -15), [-14, p1, -13), (-12, p1, -7], (-6, p1, -5), (-4, p1, -2), (-2, p1, -1]}
s2:            {(-8, p2, -7], [-6, p2, -5], (-3, p2, -1), [1, p2, 2), [4, p2, 9], (10, p2, 11), (13, p2, oo)}
union(s1, s2): {(-18, p1, -17], [-16, p1, -15), [-14, p1, -13), (-12, p1, -7], [-6, p2, -5], (-4, p1, -3], (-3, p2, -2], (-2, p1, -1], [1, p2, 2), [4, p2, 9], (10, p2, 11), (13, p2, oo)}
------------------
s1:            {(-oo, p1, 26), (89, p1, 174], [238, p1, 320), (358, p1, 413], (471, p1, 512), [545, p1, 546), [574, p1, 623), (678, p1, 760), [794, p1, 802), (874, p1, 876], [957, p1, 1039], (1122, p1, 1202), (1235, p1, 1318], [1357, p1, 1384), [1444, p1, 1514], [1562, p1, 1650), [1662, p1, 1754], [1778, p1, 1868], [1957, p1, 2003], (2006, p1, 2080), [2120, p1, 2127), (2127, p1, oo)}
s2:            {(-oo, p2, 12), (39, p2, 72), [113, p2, 184), [255, p2, 344], (438, p2, 469), (492, p2, 527), (576, p2, 636), (653, p2, 748), [767, p2, 833), [919, p2, 988], (1012, p2, 1022), (1109, p2, 1173], [1197, p2, 1284], [1330, p2, 1364], [1389, p2, 1438], [1501, p2, 1506), [1520, p2, 1557], [1581, p2, 1626), [1677, p2, 1751], (1816, p2, 1820), (1911, p2, 1993), [2042, p2, oo)}
union(s1, s2): {(-oo, p1, 26), (39, p2, 72), (89, p1, 113), [113, p2, 184), [238, p1, 255), [255, p2, 344], (358, p1, 413], (438, p2, 469), (471, p1, 492], (492, p2, 527), [545, p1, 546), [574, p1, 576], (576, p2, 636), (653, p2, 678], (678, p1, 760), [767, p2, 833), (874, p1, 876], [919, p2, 957), [957, p1, 1039], (1109, p2, 1122], (1122, p1, 1197), [1197, p2, 1235], (1235, p1, 1318], [1330, p2, 1357), [1357, p1, 1384), [1389, p2, 1438], [1444, p1, 1514], [1520, p2, 1557], [1562, p1, 1650), [1662, p1, 1754], [1778, p1, 1868], (1911, p2, 1957), [1957, p1, 2003], (2006, p1, 2042), [2042, p2, oo)}
------------------
s1:            {(-121, p1, -107), [-78, p1, 0], [98, p1, 123), [124, p1, 219), [261, p1, 269], (354, p1, 373), [385, p1, 482], [565, p1, 605), (624, p1, 660], [682, p1, 774), (856, p1, 887], [927, p1, 943), (950, p1, 958), [971, p1, 999), [1079, p1, 1166), [1199, p1, 1292], (1374, p1, 1375), (1408, p1, 1425), (1490, p1, 1544], (1595, p1, 1622]}
s2:            {(4, p2, 82), [181, p2, 212], [262, p2, 349), (380, p2, 416), (439, p2, 473], [546, p2, 572], (610, p2, 659), [728, p2, 746], [773, p2, 837), [934, p2, 987], (1003, p2, 1087), (1097, p2, 1141], [1190, p2, 1242], (1307, p2, 1396), [1445, p2, 1520], (1539, p2, 1620), (1652, p2, 1664], (1685, p2, 1754), [1773, p2, 1801], [1830, p2, 1865], [1937, p2, oo)}
union(s1, s2): {(-121, p1, -107), [-78, p1, 0], (4, p2, 82), [98, p1, 123), [124, p1, 219), [261, p1, 262), [262, p2, 349), (354, p1, 373), (380, p2, 385), [385, p1, 482], [546, p2, 565), [565, p1, 605), (610, p2, 624], (624, p1, 660], [682, p1, 773), [773, p2, 837), (856, p1, 887], [927, p1, 934), [934, p2, 971), [971, p1, 999), (1003, p2, 1079), [1079, p1, 1166), [1190, p2, 1199), [1199, p1, 1292], (1307, p2, 1396), (1408, p1, 1425), [1445, p2, 1490], (1490, p1, 1539], (1539, p2, 1595], (1595, p1, 1622], (1652, p2, 1664], (1685, p2, 1754), [1773, p2, 1801], [1830, p2, 1865], [1937, p2, oo)}
------------------
s1:            {(-oo, p1, 62), (155, p1, 207), (234, p1, 262], (333, p1, 403), [419, p1, 490], (496, p1, 570], (606, p1, 669), [707, p1, 719], [778, p1, 873), [899, p1, 956], (1032, p1, 1094), [1179, p1, 1189], (1190, p1, 1285), (1378, p1, 1474), [1500, p1, 1538), (1578, p1, 1595], (1685, p1, 1686), (1775, p1, 1824), (1882, p1, 1889), [1890, p1, 1912], (1992, p1, 2089]}
s2:            {(-oo, p2, -27], (37, p2, 75], (97, p2, 106], [162, p2, 192), (240, p2, 326), (395, p2, 464), [510, p2, 514], [582, p2, 636), [643, p2, 701), (711, p2, 808], [828, p2, 911), (941, p2, 999], (1004, p2, 1034), (1040, p2, 1110], (1170, p2, 1177), [1226, p2, 1281), (1322, p2, 1407], (1467, p2, 1474), [1513, p2, 1595], [1632, p2, 1641), [1691, p2, 1760), (1796, p2, oo)}
union(s1, s2): {(-oo, p1, 37], (37, p2, 75], (97, p2, 106], (155, p1, 207), (234, p1, 240], (240, p2, 326), (333, p1, 395], (395, p2, 419), [419, p1, 490], (496, p1, 570], [582, p2, 606], (606, p1, 643), [643, p2, 701), [707, p1, 711], (711, p2, 778), [778, p1, 828), [828, p2, 899), [899, p1, 941], (941, p2, 999], (1004, p2, 1032], (1032, p1, 1040], (1040, p2, 1110], (1170, p2, 1177), [1179, p1, 1189], (1190, p1, 1285), (1322, p2, 1378], (1378, p1, 1474), [1500, p1, 1513), [1513, p2, 1595], [1632, p2, 1641), (1685, p1, 1686), [1691, p2, 1760), (1775, p1, 1796], (1796, p2, oo)}
------------------
s1:            {[-161, p1, -126], [-68, p1, -67), [32, p1, 54), (133, p1, 216], (219, p1, 309), (364, p1, 433], [445, p1, 500], (563, p1, 608], (692, p1, 700], (744, p1, 836), (872, p1, 888], [950, p1, 1048], (1082, p1, 1102], (1145, p1, 1196], [1282, p1, 1349), (1435, p1, 1494], (1590, p1, 1652), [1745, p1, 1810), (1899, p1, 1962], (2009, p1, 2029]}
s2:            {[-97, p2, -19), (-3, p2, 47), (77, p2, 91], [132, p2, 132], (134, p2, 208], [214, p2, 246], [321, p2, 413), (428, p2, 435], [438, p2, 479), (487, p2, 561], (653, p2, 671), (754, p2, 816], (886, p2, 916), [935, p2, 988), [1026, p2, 1074), (1166, p2, 1213], [1279, p2, 1349), (1361, p2, 1376], [1414, p2, 1493), (1543, p2, oo)}
union(s1, s2): {[-161, p1, -126], [-97, p2, -19), (-3, p2, 32), [32, p1, 54), (77, p2, 91], [132, p2, 132], (133, p1, 214), [214, p2, 219], (219, p1, 309), [321, p2, 364], (364, p1, 428], (428, p2, 435], [438, p2, 445), [445, p1, 487], (487, p2, 561], (563, p1, 608], (653, p2, 671), (692, p1, 700], (744, p1, 836), (872, p1, 886], (886, p2, 916), [935, p2, 950), [950, p1, 1026), [1026, p2, 1074), (1082, p1, 1102], (1145, p1, 1166], (1166, p2, 1213], [1279, p2, 1349), (1361, p2, 1376], [1414, p2, 1435], (1435, p1, 1494], (1543, p2, oo)}
------------------
s1:            {[39, p1, 108), [131, p1, 177), [242, p1, 257), (283, p1, 321], (348, p1, 418), (490, p1, 525), [583, p1, 606], [686, p1, 735), (776, p1, 785), (815, p1, 851], [870, p1, 964), (1055, p1, 1152], (1247, p1, 1267], [1321, p1, 1404), [1410, p1, 1427], (1501, p1, 1532], (1628, p1, 1659], (1724, p1, 1801), (1876, p1, 1944], (2014, p1, 2043)}
s2:            {(-78, p2, -74), (-19, p2, 49], (139, p2, 197], (263, p2, 354], (363, p2, 460), (558, p2, 579), [582, p2, 642), (678, p2, 696], (790, p2, 869), (961, p2, 1004), (1078, p2, 1079), (1175, p2, 1228], (1289, p2, 1322), [1379, p2, 1380), [1452, p2, 1453], (1538, p2, 1599), (1648, p2, 1655], [1730, p2, 1818), [1901, p2, 1978), (2031, p2, 2130)}
union(s1, s2): {(-78, p2, -74), (-19, p2, 39), [39, p1, 108), [131, p1, 139], (139, p2, 197], [242, p1, 257), (263, p2, 348], (348, p1, 363], (363, p2, 460), (490, p1, 525), (558, p2, 579), [582, p2, 642), (678, p2, 686), [686, p1, 735), (776, p1, 785), (790, p2, 869), [870, p1, 961], (961, p2, 1004), (1055, p1, 1152], (1175, p2, 1228], (1247, p1, 1267], (1289, p2, 1321), [1321, p1, 1404), [1410, p1, 1427], [1452, p2, 1453], (1501, p1, 1532], (1538, p2, 1599), (1628, p1, 1659], (1724, p1, 1730), [1730, p2, 1818), (1876, p1, 1901), [1901, p2, 1978), (2014, p1, 2031], (2031, p2, 2130)}
------------------
s1:            {[49, p1, 74], (110, p1, 177), [261, p1, 297], [373, p1, 404), [474, p1, 488), [546, p1, 576], (669, p1, 702], [772, p1, 845), [882, p1, 884), (890, p1, 934], [1031, p1, 1117), (1128, p1, 1218), [1307, p1, 1337), [1373, p1, 1455], (1528, p1, 1560], [1637, p1, 1637], [1689, p1, 1713], [1774, p1, 1821), [1883, p1, 1918), [1960, p1, 1988], (2031, p1, oo)}
s2:            {(-oo, p2, -123], [-105, p2, -49], (4, p2, 57), (132, p2, 156), [219, p2, 242), [256, p2, 297), [300, p2, 348], [374, p2, 413), (502, p2, 556], [654, p2, 660], [703, p2, 736], [824, p2, 893], [978, p2, 1006], (1038, p2, 1134), [1169, p2, 1260], (1333, p2, 1403), (1404, p2, 1438), (1478, p2, 1561), (1561, p2, 1630], [1654, p2, 1657), (1667, p2, 1693]}
union(s1, s2): {(-oo, p2, -123], [-105, p2, -49], (4, p2, 49), [49, p1, 74], (110, p1, 177), [219, p2, 242), [256, p2, 261), [261, p1, 297], [300, p2, 348], [373, p1, 374), [374, p2, 413), [474, p1, 488), (502, p2, 546), [546, p1, 576], [654, p2, 660], (669, p1, 702], [703, p2, 736], [772, p1, 824), [824, p2, 890], (890, p1, 934], [978, p2, 1006], [1031, p1, 1038], (1038, p2, 1128], (1128, p1, 1169), [1169, p2, 1260], [1307, p1, 1333], (1333, p2, 1373), [1373, p1, 1455], (1478, p2, 1561), (1561, p2, 1630], [1637, p1, 1637], [1654, p2, 1657), (1667, p2, 1689), [1689, p1, 1713], [1774, p1, 1821), [1883, p1, 1918), [1960, p1, 1988], (2031, p1, oo)}
------------------
s1:            {(-146, p1, -133], (-53, p1, 25], (92, p1, 96), [169, p1, 242), [249, p1, 314), (385, p1, 415), (513, p1, 603), (625, p1, 678], [762, p1, 854), (902, p1, 928], (983, p1, 1077], [1155, p1, 1195], [1231, p1, 1329), (1423, p1, 1464], (1471, p1, 1483), (1563, p1, 1620), (1676, p1, 1693), (1761, p1, 1778], [1807, p1, 1812)}
s2:            {(-oo, p2, -27], (5, p2, 81], [117, p2, 149], (220, p2, 233], [284, p2, 315], (376, p2, 427], [438, p2, 501], [560, p2, 654], (728, p2, 729], [746, p2, 777), (791, p2, 794], [876, p2, 919], (933, p2, 1019), [1063, p2, 1070), (1169, p2, 1194), (1244, p2, 1307], (1351, p2, 1364), [1408, p2, 1478), [1549, p2, 1608), (1626, p2, 1658], [1740, p2, 1778), (1862, p2, oo)}
union(s1, s2): {(-oo, p2, -53], (-53, p1, 5], (5, p2, 81], (92, p1, 96), [117, p2, 149], [169, p1, 242), [249, p1, 284), [284, p2, 315], (376, p2, 427], [438, p2, 501], (513, p1, 560), [560, p2, 625], (625, p1, 678], (728, p2, 729], [746, p2, 762), [762, p1, 854), [876, p2, 902], (902, p1, 928], (933, p2, 983], (983, p1, 1077], [1155, p1, 1195], [1231, p1, 1329), (1351, p2, 1364), [1408, p2, 1471], (1471, p1, 1483), [1549, p2, 1563], (1563, p1, 1620), (1626, p2, 1658], (1676, p1, 1693), [1740, p2, 1761], (1761, p1, 1778], [1807, p1, 1812), (1862, p2, oo)}
------------------
s1:            {(-oo, p1, 180], (249, p1, 250), [293, p1, 346], [395, p1, 448), (504, p1, 540), (629, p1, 683], [684, p1, 768), (826, p1, 903), (957, p1, 960), [1001, p1, 1049), [1101, p1, 1107], (1123, p1, 1216), (1260, p1, 1356], [1399, p1, 1482), (1520, p1, 1563), [1624, p1, 1682], [1745, p1, 1806], [1837, p1, 1873), (1957, p1, 2034), [2098, p1, 2125), [2210, p1, 2277)}
s2:            {(136, p2, 175), [190, p2, 234), [301, p2, 363], (416, p2, 468], [522, p2, 549), [593, p2, 638], (691, p2, 738), [790, p2, 841), [847, p2, 934], [957, p2, 1037], [1075, p2, 1141), (1195, p2, 1250], (1331, p2, 1389], (1486, p2, 1569], (1647, p2, 1743), (1842, p2, 1883], (1939, p2, 1994), (2041, p2, 2054], [2115, p2, 2163], (2207, p2, 2240), [2285, p2, oo)}
union(s1, s2): {(-oo, p1, 180], [190, p2, 234), (249, p1, 250), [293, p1, 301), [301, p2, 363], [395, p1, 416], (416, p2, 468], (504, p1, 522), [522, p2, 549), [593, p2, 629], (629, p1, 683], [684, p1, 768), [790, p2, 826], (826, p1, 847), [847, p2, 934], [957, p2, 1001), [1001, p1, 1049), [1075, p2, 1123], (1123, p1, 1195], (1195, p2, 1250], (1260, p1, 1331], (1331, p2, 1389], [1399, p1, 1482), (1486, p2, 1569], [1624, p1, 1647], (1647, p2, 1743), [1745, p1, 1806], [1837, p1, 1842], (1842, p2, 1883], (1939, p2, 1957], (1957, p1, 2034), (2041, p2, 2054], [2098, p1, 2115), [2115, p2, 2163], (2207, p2, 2210), [2210, p1, 2277), [2285, p2, oo)}
------------------
s1:            {(-oo, p1, -5), [32, p1, 74], [111, p1, 170), (228, p1, 248], (326, p1, 392], (409, p1, 443], (483, p1, 503], [511, p1, 603], [683, p1, 713), [773, p1, 774), (794, p1, 835), [912, p1, 959), (977, p1, 991), [1088, p1, 1179), [1246, p1, 1280), [1317, p1, 1318), (1415, p1, 1490], [1502, p1, 1505), [1530, p1, 1534), (1564, p1, 1649], (1702, p1, 1779), (1816, p1, oo)}
s2:            {(8, p2, 59], [125, p2, 131], [190, p2, 271], [309, p2, 325), [423, p2, 440], [494, p2, 552], (613, p2, 678], [690, p2, 778], (849, p2, 948), (991, p2, 994), [1077, p2, 1171], [1269, p2, 1293], (1378, p2, 1434), [1508, p2, 1547], (1571, p2, 1615], (1674, p2, 1756), (1850, p2, 1912), (1935, p2, 1986], [2085, p2, 2115), [2194, p2, 2251)}
union(s1, s2): {(-oo, p1, -5), (8, p2, 32), [32, p1, 74], [111, p1, 170), [190, p2, 271], [309, p2, 325), (326, p1, 392], (409, p1, 443], (483, p1, 494), [494, p2, 511), [511, p1, 603], (613, p2, 678], [683, p1, 690), [690, p2, 778], (794, p1, 835), (849, p2, 912), [912, p1, 959), (977, p1, 991), (991, p2, 994), [1077, p2, 1088), [1088, p1, 1179), [1246, p1, 1269), [1269, p2, 1293], [1317, p1, 1318), (1378, p2, 1415], (1415, p1, 1490], [1502, p1, 1505), [1508, p2, 1547], (1564, p1, 1649], (1674, p2, 1702], (1702, p1, 1779), (1816, p1, oo)}
------------------
s1:            {(-oo, p1, 178), [254, p1, 332], [408, p1, 487), [488, p1, 550], [557, p1, 563), (658, p1, 706], [773, p1, 785], [834, p1, 836], [897, p1, 934), [975, p1, 1037], [1094, p1, 1145], (1199, p1, 1261), (1308, p1, 1341), [1348, p1, 1368), (1421, p1, 1470), (1487, p1, 1573), (1588, p1, 1608), [1706, p1, 1733), (1823, p1, 1858], [1898, p1, 1955], [2020, p1, 2052)}
s2:            {[167, p2, 247), (330, p2, 370), [383, p2, 479], (507, p2, 540], (550, p2, 570), [632, p2, 716], [761, p2, 779), (822, p2, 839], (852, p2, 895), [958, p2, 1009], [1010, p2, 1077), (1095, p2, 1156], (1204, p2, 1234], [1239, p2, 1337), [1346, p2, 1388], [1486, p2, 1493), (1521, p2, 1603), (1691, p2, 1768], (1799, p2, 1828), (1919, p2, 1935], (1980, p2, oo)}
union(s1, s2): {(-oo, p1, 167), [167, p2, 247), [254, p1, 330], (330, p2, 370), [383, p2, 408), [408, p1, 487), [488, p1, 550], (550, p2, 570), [632, p2, 716], [761, p2, 773), [773, p1, 785], (822, p2, 839], (852, p2, 895), [897, p1, 934), [958, p2, 975), [975, p1, 1010), [1010, p2, 1077), [1094, p1, 1095], (1095, p2, 1156], (1199, p1, 1239), [1239, p2, 1308], (1308, p1, 1341), [1346, p2, 1388], (1421, p1, 1470), [1486, p2, 1487], (1487, p1, 1521], (1521, p2, 1588], (1588, p1, 1608), (1691, p2, 1768], (1799, p2, 1823], (1823, p1, 1858], [1898, p1, 1955], (1980, p2, oo)}
------------------
s1:            {(-14, p1, 28], (100, p1, 187), [264, p1, 280], (290, p1, 327), (395, p1, 404], [429, p1, 440), [531, p1, 534), (566, p1, 569], [611, p1, 701], [726, p1, 817), [863, p1, 894], (905, p1, 946], (1010, p1, 1040], (1080, p1, 1169), (1238, p1, 1257], (1321, p1, 1418], [1470, p1, 1500], (1552, p1, 1553], (1648, p1, 1683), (1695, p1, 1711)}
s2:            {(148, p2, 246], (315, p2, 373), [472, p2, 492], [520, p2, 580), [601, p2, 651), (733, p2, 793], (823, p2, 905], (962, p2, 1044], (1066, p2, 1096], [1145, p2, 1169], (1257, p2, 1346), [1410, p2, 1475), (1477, p2, 1563), (1601, p2, 1669], [1721, p2, 1781], [1791, p2, 1862], [1871, p2, 1880), [1911, p2, 1931], (1976, p2, 2043], [2135, p2, 2159), (2196, p2, oo)}
union(s1, s2): {(-14, p1, 28], (100, p1, 148], (148, p2, 246], [264, p1, 280], (290, p1, 315], (315, p2, 373), (395, p1, 404], [429, p1, 440), [472, p2, 492], [520, p2, 580), [601, p2, 611), [611, p1, 701], [726, p1, 817), (823, p2, 905], (905, p1, 946], (962, p2, 1044], (1066, p2, 1080], (1080, p1, 1145), [1145, p2, 1169], (1238, p1, 1257], (1257, p2, 1321], (1321, p1, 1410), [1410, p2, 1470), [1470, p1, 1477], (1477, p2, 1563), (1601, p2, 1648], (1648, p1, 1683), (1695, p1, 1711), [1721, p2, 1781], [1791, p2, 1862], [1871, p2, 1880), [1911, p2, 1931], (1976, p2, 2043], [2135, p2, 2159), (2196, p2, oo)}
------------------
s1:            {(-157, p1, -119), (-56, p1, -49), (49, p1, 80), [94, p1, 108], (205, p1, 245], [298, p1, 302], (323, p1, 397), [484, p1, 558], (628, p1, 631), [677, p1, 712), (802, p1, 843], (909, p1, 926], (979, p1, 1078), [1138, p1, 1180), (1203, p1, 1245], [1304, p1, 1320), (1393, p1, 1410], (1416, p1, 1478), (1542, p1, 1572), [1596, p1, 1597)}
s2:            {[81, p2, 116], [118, p2, 181), (187, p2, 237), (280, p2, 379], (402, p2, 449), (467, p2, 527), (560, p2, 585), (635, p2, 710), (757, p2, 828], (910, p2, 970), [1030, p2, 1061), [1114, p2, 1287), [1294, p2, 1339), (1348, p2, 1393], (1423, p2, 1425], [1444, p2, 1543), (1570, p2, 1593), (1629, p2, 1680], (1682, p2, 1745], [1767, p2, oo)}
union(s1, s2): {(-157, p1, -119), (-56, p1, -49), (49, p1, 80), [81, p2, 116], [118, p2, 181), (187, p2, 205], (205, p1, 245], (280, p2, 323], (323, p1, 397), (402, p2, 449), (467, p2, 484), [484, p1, 558], (560, p2, 585), (628, p1, 631), (635, p2, 677), [677, p1, 712), (757, p2, 802], (802, p1, 843], (909, p1, 910], (910, p2, 970), (979, p1, 1078), [1114, p2, 1287), [1294, p2, 1339), (1348, p2, 1393], (1393, p1, 1410], (1416, p1, 1444), [1444, p2, 1542], (1542, p1, 1570], (1570, p2, 1593), [1596, p1, 1597), (1629, p2, 1680], (1682, p2, 1745], [1767, p2, oo)}
------------------
s1:            {(-oo, p1, 101), [179, p1, 218), (295, p1, 381), (477, p1, 480], [569, p1, 601), [647, p1, 725), (733, p1, 767], (810, p1, 907], [914, p1, 926), [979, p1, 1058), (1069, p1, 1161], (1213, p1, 1223], [1315, p1, 1381], (1465, p1, 1487], (1560, p1, 1621), [1714, p1, 1728], [1773, p1, 1801), (1878, p1, 1951], [2024, p1, 2121), (2142, p1, 2156], (2220, p1, 2317]}
s2:            {(63, p2, 160), (246, p2, 277), (366, p2, 391), (459, p2, 478), [517, p2, 535), [577, p2, 604], [623, p2, 720], [776, p2, 807), (823, p2, 828), [886, p2, 891), [919, p2, 940], (1032, p2, 1124], (1160, p2, 1230], (1297, p2, 1369), (1441, p2, 1528), [1571, p2, 1574), [1590, p2, 1641], [1695, p2, 1774], [1803, p2, 1850], [1910, p2, 1968], [2053, p2, oo)}
union(s1, s2): {(-oo, p1, 63], (63, p2, 160), [179, p1, 218), (246, p2, 277), (295, p1, 366], (366, p2, 391), (459, p2, 477], (477, p1, 480], [517, p2, 535), [569, p1, 577), [577, p2, 604], [623, p2, 647), [647, p1, 725), (733, p1, 767], [776, p2, 807), (810, p1, 907], [914, p1, 919), [919, p2, 940], [979, p1, 1032], (1032, p2, 1069], (1069, p1, 1160], (1160, p2, 1230], (1297, p2, 1315), [1315, p1, 1381], (1441, p2, 1528), (1560, p1, 1590), [1590, p2, 1641], [1695, p2, 1773), [1773, p1, 1801), [1803, p2, 1850], (1878, p1, 1910), [1910, p2, 1968], [2024, p1, 2053), [2053, p2, oo)}
------------------
s1:            {(-oo, p1, 114], (148, p1, 247], [263, p1, 264), [323, p1, 360], [414, p1, 474), [514, p1, 610), [613, p1, 711), [808, p1, 880], (940, p1, 965), (1027, p1, 1040), (1094, p1, 1148], [1213, p1, 1260), (1352, p1, 1404), [1417, p1, 1431), [1476, p1, 1540], (1553, p1, 1567), [1655, p1, 1701), [1796, p1, 1865], [1870, p1, 1957], [2026, p1, 2050), (2148, p1, 2149], [2159, p1, oo)}
s2:            {[228, p2, 250), (343, p2, 391), [423, p2, 448), [515, p2, 572), (619, p2, 696), (758, p2, 810), [817, p2, 874), (898, p2, 961], (991, p2, 1067], [1091, p2, 1185), [1204, p2, 1208), (1218, p2, 1310), [1370, p2, 1439], (1469, p2, 1564], (1605, p2, 1651], (1733, p2, 1742), [1838, p2, 1920), [1941, p2, 2001], [2019, p2, 2036)}
union(s1, s2): {(-oo, p1, 114], (148, p1, 228), [228, p2, 250), [263, p1, 264), [323, p1, 343], (343, p2, 391), [414, p1, 474), [514, p1, 610), [613, p1, 711), (758, p2, 808), [808, p1, 880], (898, p2, 940], (940, p1, 965), (991, p2, 1067], [1091, p2, 1185), [1204, p2, 1208), [1213, p1, 1218], (1218, p2, 1310), (1352, p1, 1370), [1370, p2, 1439], (1469, p2, 1553], (1553, p1, 1567), (1605, p2, 1651], [1655, p1, 1701), (1733, p2, 1742), [1796, p1, 1838), [1838, p2, 1870), [1870, p1, 1941), [1941, p2, 2001], [2019, p2, 2026), [2026, p1, 2050), (2148, p1, 2149], [2159, p1, oo)}
------------------
s1:            {(-133, p1, -66], (-64, p1, 31], (48, p1, 104], (106, p1, 132), [171, p1, 250], [286, p1, 353), (385, p1, 480], (502, p1, 516), (560, p1, 602), (648, p1, 665], [667, p1, 676), [768, p1, 824), (855, p1, 878), [883, p1, 954), [982, p1, 1080), (1089, p1, 1137), [1162, p1, 1215], [1309, p1, 1385), [1452, p1, 1472], (1503, p1, 1601)}
s2:            {(-oo, p2, -138], [-82, p2, -81), (-29, p2, 19), (83, p2, 166], (251, p2, 330], (374, p2, 420), (506, p2, 586], [589, p2, 682], [750, p2, 824], [902, p2, 908], [968, p2, 985), [997, p2, 1069], [1129, p2, 1217), (1275, p2, 1355), [1437, p2, 1457], [1473, p2, 1489], [1546, p2, 1637], (1723, p2, 1803), (1837, p2, 1911), [1946, p2, 1954), [1974, p2, 2026)}
union(s1, s2): {(-oo, p2, -138], (-133, p1, -66], (-64, p1, 31], (48, p1, 83], (83, p2, 166], [171, p1, 250], (251, p2, 286), [286, p1, 353), (374, p2, 385], (385, p1, 480], (502, p1, 506], (506, p2, 560], (560, p1, 589), [589, p2, 682], [750, p2, 824], (855, p1, 878), [883, p1, 954), [968, p2, 982), [982, p1, 1080), (1089, p1, 1129), [1129, p2, 1217), (1275, p2, 1309), [1309, p1, 1385), [1437, p2, 1452), [1452, p1, 1472], [1473, p2, 1489], (1503, p1, 1546), [1546, p2, 1637], (1723, p2, 1803), (1837, p2, 1911), [1946, p2, 1954), [1974, p2, 2026)}
------------------
s1:            {(-oo, p1, 124], [157, p1, 177], (270, p1, 298], (314, p1, 337], (419, p1, 434], [503, p1, 540], [573, p1, 631], (683, p1, 741), (763, p1, 783], (798, p1, 805), (881, p1, 898), [958, p1, 1020], [1108, p1, 1159), (1208, p1, 1240], [1248, p1, 1342), (1436, p1, 1514), (1595, p1, 1680), [1779, p1, 1795], (1824, p1, 1856), [1887, p1, 1951), (1973, p1, 2041]}
s2:            {[-116, p2, -111), (-96, p2, -41], [50, p2, 118], [184, p2, 195], (258, p2, 295], [327, p2, 364], (377, p2, 401), [459, p2, 475), (552, p2, 601], [681, p2, 757], (801, p2, 884), (890, p2, 902], [966, p2, 1028), [1071, p2, 1088], (1127, p2, 1209), (1293, p2, 1315), (1399, p2, 1409), [1467, p2, 1562), [1603, p2, 1609], [1641, p2, 1672)}
union(s1, s2): {(-oo, p1, 124], [157, p1, 177], [184, p2, 195], (258, p2, 270], (270, p1, 298], (314, p1, 327), [327, p2, 364], (377, p2, 401), (419, p1, 434], [459, p2, 475), [503, p1, 540], (552, p2, 573), [573, p1, 631], [681, p2, 757], (763, p1, 783], (798, p1, 801], (801, p2, 881], (881, p1, 890], (890, p2, 902], [958, p1, 966), [966, p2, 1028), [1071, p2, 1088], [1108, p1, 1127], (1127, p2, 1208], (1208, p1, 1240], [1248, p1, 1342), (1399, p2, 1409), (1436, p1, 1467), [1467, p2, 1562), (1595, p1, 1680), [1779, p1, 1795], (1824, p1, 1856), [1887, p1, 1951), (1973, p1, 2041]}
------------------
s1:            {[183, p1, 273], [335, p1, 406), (445, p1, 513], [612, p1, 699), (730, p1, 782), (825, p1, 877), (882, p1, 883), [942, p1, 982], [1023, p1, 1028], [1074, p1, 1093), (1173, p1, 1180), [1206, p1, 1264), [1293, p1, 1375), [1398, p1, 1467), [1559, p1, 1569], (1622, p1, 1685], [1715, p1, 1807], [1901, p1, 1994], (2016, p1, 2020), [2110, p1, 2177)}
s2:            {[179, p2, 205), [244, p2, 295], [344, p2, 362), (368, p2, 425), [429, p2, 507), [554, p2, 630], (659, p2, 695), (730, p2, 784), (874, p2, 926), [961, p2, 1044], [1051, p2, 1090), (1180, p2, 1203), (1221, p2, 1318), (1412, p2, 1443], [1530, p2, 1626), [1701, p2, 1778), (1874, p2, 1904], (1923, p2, 1986], [2064, p2, 2126), [2177, p2, 2209]}
union(s1, s2): {[179, p2, 183), [183, p1, 244), [244, p2, 295], [335, p1, 368], (368, p2, 425), [429, p2, 445], (445, p1, 513], [554, p2, 612), [612, p1, 699), (730, p2, 784), (825, p1, 874], (874, p2, 926), [942, p1, 961), [961, p2, 1044], [1051, p2, 1074), [1074, p1, 1093), (1173, p1, 1180), (1180, p2, 1203), [1206, p1, 1221], (1221, p2, 1293), [1293, p1, 1375), [1398, p1, 1467), [1530, p2, 1622], (1622, p1, 1685], [1701, p2, 1715), [1715, p1, 1807], (1874, p2, 1901), [1901, p1, 1994], (2016, p1, 2020), [2064, p2, 2110), [2110, p1, 2177), [2177, p2, 2209]}
------------------
s1:            {[-72, p1, -27), [12, p1, 33), (35, p1, 131), (179, p1, 192), (247, p1, 310), [322, p1, 412), [425, p1, 455], [465, p1, 550], [633, p1, 664), [701, p1, 782], [872, p1, 919), [1004, p1, 1073), [1159, p1, 1182), [1232, p1, 1243], [1278, p1, 1293), [1340, p1, 1368], (1446, p1, 1448), [1452, p1, 1501], (1568, p1, 1664), (1697, p1, 1756], [1830, p1, oo)}
s2:            {(-33, p2, 64], (114, p2, 200), [285, p2, 383), [443, p2, 480], [494, p2, 583], [677, p2, 693), (746, p2, 816), (830, p2, 900], (991, p2, 1022], [1120, p2, 1157], [1249, p2, 1288], (1383, p2, 1450), (1481, p2, 1541], (1624, p2, 1675), [1728, p2, 1742), [1799, p2, 1860), (1890, p2, 1944], [1988, p2, 1990), [2013, p2, 2021), [2102, p2, 2111]}
union(s1, s2): {[-72, p1, -33], (-33, p2, 35], (35, p1, 114], (114, p2, 200), (247, p1, 285), [285, p2, 322), [322, p1, 412), [425, p1, 443), [443, p2, 465), [465, p1, 494), [494, p2, 583], [633, p1, 664), [677, p2, 693), [701, p1, 746], (746, p2, 816), (830, p2, 872), [872, p1, 919), (991, p2, 1004), [1004, p1, 1073), [1120, p2, 1157], [1159, p1, 1182), [1232, p1, 1243], [1249, p2, 1278), [1278, p1, 1293), [1340, p1, 1368], (1383, p2, 1450), [1452, p1, 1481], (1481, p2, 1541], (1568, p1, 1624], (1624, p2, 1675), (1697, p1, 1756], [1799, p2, 1830), [1830, p1, oo)}
------------------
s1:            {[66, p1, 155], [202, p1, 270], [279, p1, 283), (371, p1, 377], (412, p1, 469], (525, p1, 609], (678, p1, 693], [738, p1, 811], (819, p1, 876), (880, p1, 954], [1015, p1, 1061), (1093, p1, 1127], [1142, p1, 1201), (1297, p1, 1354), (1366, p1, 1410], [1468, p1, 1530), [1606, p1, 1661), [1708, p1, 1790), (1875, p1, 1900), (1948, p1, 1949)}
s2:            {(181, p2, 213], (296, p2, 363), [400, p2, 431], (471, p2, 549), (619, p2, 620], [652, p2, 697], (739, p2, 820], (885, p2, 935), (1021, p2, 1076), [1121, p2, 1143), (1180, p2, 1210), (1303, p2, 1325), (1405, p2, 1464], (1477, p2, 1534], (1629, p2, 1641), [1732, p2, 1748), (1806, p2, 1827), (1915, p2, 1932), [1948, p2, 1994), [2064, p2, 2161], [2168, p2, oo)}
union(s1, s2): {[66, p1, 155], (181, p2, 202), [202, p1, 270], [279, p1, 283), (296, p2, 363), (371, p1, 377], [400, p2, 412], (412, p1, 469], (471, p2, 525], (525, p1, 609], (619, p2, 620], [652, p2, 697], [738, p1, 739], (739, p2, 819], (819, p1, 876), (880, p1, 954], [1015, p1, 1021], (1021, p2, 1076), (1093, p1, 1121), [1121, p2, 1142), [1142, p1, 1180], (1180, p2, 1210), (1297, p1, 1354), (1366, p1, 1405], (1405, p2, 1464], [1468, p1, 1477], (1477, p2, 1534], [1606, p1, 1661), [1708, p1, 1790), (1806, p2, 1827), (1875, p1, 1900), (1915, p2, 1932), [1948, p2, 1994), [2064, p2, 2161], [2168, p2, oo)}
------------------
s1:            {(50, p1, 142), [189, p1, 239), [324, p1, 364], (450, p1, 532), [572, p1, 661], (700, p1, 763), (768, p1, 848), [919, p1, 956), [962, p1, 1023], [1055, p1, 1130], (1229, p1, 1252), (1290, p1, 1342), (1369, p1, 1423], (1424, p1, 1439], (1475, p1, 1514], [1583, p1, 1659), (1741, p1, 1748], (1821, p1, 1829], (1885, p1, 1965), [2062, p1, 2131], [2185, p1, oo)}
s2:            {(15, p2, 54), [126, p2, 186], (283, p2, 360), [380, p2, 422), (477, p2, 508], [583, p2, 662], [727, p2, 773), [820, p2, 908], (910, p2, 956], [1006, p2, 1067), (1105, p2, 1150], [1168, p2, 1183), [1269, p2, 1331], (1350, p2, 1420], [1496, p2, 1498), [1533, p2, 1629), [1713, p2, 1740), [1771, p2, 1839], (1872, p2, 1956], (1987, p2, 2075], [2121, p2, oo)}
union(s1, s2): {(15, p2, 50], (50, p1, 126), [126, p2, 186], [189, p1, 239), (283, p2, 324), [324, p1, 364], [380, p2, 422), (450, p1, 532), [572, p1, 583), [583, p2, 662], (700, p1, 727), [727, p2, 768], (768, p1, 820), [820, p2, 908], (910, p2, 956], [962, p1, 1006), [1006, p2, 1055), [1055, p1, 1105], (1105, p2, 1150], [1168, p2, 1183), (1229, p1, 1252), [1269, p2, 1290], (1290, p1, 1342), (1350, p2, 1369], (1369, p1, 1423], (1424, p1, 1439], (1475, p1, 1514], [1533, p2, 1583), [1583, p1, 1659), [1713, p2, 1740), (1741, p1, 1748], [1771, p2, 1839], (1872, p2, 1885], (1885, p1, 1965), (1987, p2, 2062), [2062, p1, 2121), [2121, p2, oo)}
------------------
s1:            {(-oo, p1, 38], (115, p1, 124), [165, p1, 212), [296, p1, 316), (363, p1, 388), (414, p1, 473), (561, p1, 609], (639, p1, 654), (681, p1, 699], [715, p1, 757), (810, p1, 904], (976, p1, 1012), [1107, p1, 1204], (1280, p1, 1308), [1353, p1, 1425), [1466, p1, 1475), [1529, p1, 1529], (1612, p1, 1665), (1709, p1, 1723), [1815, p1, 1852], (1866, p1, 1897)}
s2:            {[-107, p2, -54), [-49, p2, 20), [114, p2, 129), [136, p2, 160], [227, p2, 259), [313, p2, 343), (424, p2, 455], (456, p2, 529), [577, p2, 595], [632, p2, 714), [759, p2, 777), (779, p2, 800], [835, p2, 843], (915, p2, 983), (1078, p2, 1136), [1183, p2, 1263), [1303, p2, 1330], [1413, p2, 1425), (1461, p2, 1540], [1617, p2, 1633]}
union(s1, s2): {(-oo, p1, 38], [114, p2, 129), [136, p2, 160], [165, p1, 212), [227, p2, 259), [296, p1, 313), [313, p2, 343), (363, p1, 388), (414, p1, 456], (456, p2, 529), (561, p1, 609], [632, p2, 714), [715, p1, 757), [759, p2, 777), (779, p2, 800], (810, p1, 904], (915, p2, 976], (976, p1, 1012), (1078, p2, 1107), [1107, p1, 1183), [1183, p2, 1263), (1280, p1, 1303), [1303, p2, 1330], [1353, p1, 1425), (1461, p2, 1540], (1612, p1, 1665), (1709, p1, 1723), [1815, p1, 1852], (1866, p1, 1897)}
------------------
s1:            {(-oo, p1, 116), (208, p1, 242), (265, p1, 364], [426, p1, 481], (561, p1, 646), (706, p1, 798), (800, p1, 857), (948, p1, 986), (1006, p1, 1077], [1158, p1, 1200], (1203, p1, 1247), [1279, p1, 1357), [1417, p1, 1462], [1550, p1, 1576], [1579, p1, 1615), [1668, p1, 1707), [1798, p1, 1855), (1937, p1, 2024], (2044, p1, 2143), (2175, p1, 2250), [2255, p1, 2256)}
s2:            {(-oo, p2, 143), (196, p2, 266), [293, p2, 362], [458, p2, 524], (577, p2, 674], [742, p2, 800], [848, p2, 911), [975, p2, 989), [1081, p2, 1131], (1219, p2, 1269), (1271, p2, 1332), [1386, p2, 1417], (1449, p2, 1482), [1552, p2, 1635), [1698, p2, 1728), [1795, p2, 1839], (1843, p2, 1889], (1893, p2, 1907], (1911, p2, 2007), (2031, p2, 2121), (2137, p2, 2143)}
union(s1, s2): {(-oo, p2, 143), (196, p2, 265], (265, p1, 364], [426, p1, 458), [458, p2, 524], (561, p1, 577], (577, p2, 674], (706, p1, 742), [742, p2, 800], (800, p1, 848), [848, p2, 911), (948, p1, 975), [975, p2, 989), (1006, p1, 1077], [1081, p2, 1131], [1158, p1, 1200], (1203, p1, 1219], (1219, p2, 1269), (1271, p2, 1279), [1279, p1, 1357), [1386, p2, 1417), [1417, p1, 1449], (1449, p2, 1482), [1550, p1, 1552), [1552, p2, 1635), [1668, p1, 1698), [1698, p2, 1728), [1795, p2, 1798), [1798, p1, 1843], (1843, p2, 1889], (1893, p2, 1907], (1911, p2, 1937], (1937, p1, 2024], (2031, p2, 2044], (2044, p1, 2143), (2175, p1, 2250), [2255, p1, 2256)}
------------------
s1:            {(-42, p1, -13], (68, p1, 162], [257, p1, 350), (442, p1, 464], [535, p1, 607), (663, p1, 681], [741, p1, 773], [842, p1, 843), (855, p1, 877), (931, p1, 980], (1005, p1, 1044), (1140, p1, 1186), (1270, p1, 1321), (1405, p1, 1473], (1504, p1, 1553], (1594, p1, 1666], (1765, p1, 1851], [1874, p1, 1991], [2068, p1, 2136)}
s2:            {[34, p2, 62), (132, p2, 175), (240, p2, 338], (399, p2, 449), (543, p2, 560), [587, p2, 598], (693, p2, 790], [856, p2, 879), [965, p2, 974), (1049, p2, 1086), (1138, p2, 1148], (1214, p2, 1282], (1333, p2, 1343), [1347, p2, 1395), [1410, p2, 1441], (1465, p2, 1518], (1590, p2, 1647], (1733, p2, 1784), [1862, p2, 1886], (1941, p2, 1961]}
union(s1, s2): {(-42, p1, -13], [34, p2, 62), (68, p1, 132], (132, p2, 175), (240, p2, 257), [257, p1, 350), (399, p2, 442], (442, p1, 464], [535, p1, 607), (663, p1, 681], (693, p2, 790], [842, p1, 843), (855, p1, 856), [856, p2, 879), (931, p1, 980], (1005, p1, 1044), (1049, p2, 1086), (1138, p2, 1140], (1140, p1, 1186), (1214, p2, 1270], (1270, p1, 1321), (1333, p2, 1343), [1347, p2, 1395), (1405, p1, 1465], (1465, p2, 1504], (1504, p1, 1553], (1590, p2, 1594], (1594, p1, 1666], (1733, p2, 1765], (1765, p1, 1851], [1862, p2, 1874), [1874, p1, 1991], [2068, p1, 2136)}
------------------
s1:            {(202, p1, 213), (255, p1, 261), (333, p1, 355], (411, p1, 475], (494, p1, 574], [639, p1, 671), (749, p1, 810], [871, p1, 956), [1037, p1, 1066), (1130, p1, 1150), [1239, p1, 1320), (1320, p1, 1370), (1459, p1, 1463), [1560, p1, 1620], [1632, p1, 1725), [1769, p1, 1782], (1803, p1, 1837), (1850, p1, 1914), [1958, p1, 1966)}
s2:            {[124, p2, 131], [193, p2, 253], [264, p2, 355), (358, p2, 418), (472, p2, 498), [503, p2, 506], (531, p2, 579), [590, p2, 625), (670, p2, 725], (784, p2, 839), (917, p2, 1006), [1019, p2, 1020), [1031, p2, 1121), [1125, p2, 1221), (1304, p2, 1367), (1414, p2, 1497), [1590, p2, 1618], (1691, p2, 1692), [1721, p2, 1796), (1842, p2, 1852]}
union(s1, s2): {[124, p2, 131], [193, p2, 253], (255, p1, 261), [264, p2, 333], (333, p1, 355], (358, p2, 411], (411, p1, 472], (472, p2, 494], (494, p1, 531], (531, p2, 579), [590, p2, 625), [639, p1, 670], (670, p2, 725], (749, p1, 784], (784, p2, 839), [871, p1, 917], (917, p2, 1006), [1019, p2, 1020), [1031, p2, 1121), [1125, p2, 1221), [1239, p1, 1304], (1304, p2, 1320], (1320, p1, 1370), (1414, p2, 1497), [1560, p1, 1620], [1632, p1, 1721), [1721, p2, 1796), (1803, p1, 1837), (1842, p2, 1850], (1850, p1, 1914), [1958, p1, 1966)}
------------------
s1:            {[207, p1, 251], [310, p1, 398), [479, p1, 550], [609, p1, 646], (707, p1, 708], (737, p1, 771], (789, p1, 828], (875, p1, 885], (913, p1, 943], (1034, p1, 1049), (1051, p1, 1066], [1078, p1, 1121], (1138, p1, 1225], [1261, p1, 1267], (1287, p1, 1366], (1382, p1, 1463], (1537, p1, 1555), [1584, p1, 1593], (1684, p1, 1774], [1833, p1, 1842]}
s2:            {(104, p2, 185), (209, p2, 251], (258, p2, 292], (300, p2, 319], [412, p2, 443], (451, p2, 539), (604, p2, 667], [702, p2, 794), (871, p2, 928), (986, p2, 1002), [1030, p2, 1112], [1201, p2, 1294], (1340, p2, 1364), [1387, p2, 1440), (1456, p2, 1540), (1563, p2, 1569], (1622, p2, 1679], [1756, p2, 1846), (1864, p2, 1866], [1911, p2, 1924]}
union(s1, s2): {(104, p2, 185), [207, p1, 251], (258, p2, 292], (300, p2, 310), [310, p1, 398), [412, p2, 443], (451, p2, 479), [479, p1, 550], (604, p2, 667], [702, p2, 789], (789, p1, 828], (871, p2, 913], (913, p1, 943], (986, p2, 1002), [1030, p2, 1078), [1078, p1, 1121], (1138, p1, 1201), [1201, p2, 1287], (1287, p1, 1366], (1382, p1, 1456], (1456, p2, 1537], (1537, p1, 1555), (1563, p2, 1569], [1584, p1, 1593], (1622, p2, 1679], (1684, p1, 1756), [1756, p2, 1846), (1864, p2, 1866], [1911, p2, 1924]}
------------------
s1:            {(-52, p1, -7), (47, p1, 127), [175, p1, 256), [345, p1, 359], (424, p1, 458], (462, p1, 469), (479, p1, 520), [610, p1, 619], (651, p1, 654], [735, p1, 759), [856, p1, 864], [880, p1, 963], (1047, p1, 1127), (1209, p1, 1276], (1370, p1, 1373], [1433, p1, 1464], [1492, p1, 1523), [1525, p1, 1614), (1636, p1, 1725), [1823, p1, 1883)}
s2:            {(-48, p2, -37), [62, p2, 145], (225, p2, 265), (283, p2, 326), [354, p2, 425), [500, p2, 598), (630, p2, 668], (683, p2, 771], (790, p2, 827], [878, p2, 904], [916, p2, 986), (1030, p2, 1096], [1155, p2, 1239), [1334, p2, 1380], (1473, p2, 1554), (1571, p2, 1624], (1671, p2, 1747), [1835, p2, 1930), (2005, p2, 2006), (2083, p2, 2163]}
union(s1, s2): {(-52, p1, -7), (47, p1, 62), [62, p2, 145], [175, p1, 225], (225, p2, 265), (283, p2, 326), [345, p1, 354), [354, p2, 424], (424, p1, 458], (462, p1, 469), (479, p1, 500), [500, p2, 598), [610, p1, 619], (630, p2, 668], (683, p2, 771], (790, p2, 827], [856, p1, 864], [878, p2, 880), [880, p1, 916), [916, p2, 986), (1030, p2, 1047], (1047, p1, 1127), [1155, p2, 1209], (1209, p1, 1276], [1334, p2, 1380], [1433, p1, 1464], (1473, p2, 1525), [1525, p1, 1571], (1571, p2, 1624], (1636, p1, 1671], (1671, p2, 1747), [1823, p1, 1835), [1835, p2, 1930), (2005, p2, 2006), (2083, p2, 2163]}
------------------
s1:            {(-oo, p1, 106), (159, p1, 232], [279, p1, 345], (347, p1, 441), [528, p1, 611), [696, p1, 763], (814, p1, 905), (995, p1, 1090], (1099, p1, 1105], (1162, p1, 1245), (1272, p1, 1360], (1427, p1, 1517], [1552, p1, 1594], (1675, p1, 1685], [1739, p1, 1798], (1889, p1, 1910], [1958, p1, 2045), [2135, p1, 2228], (2249, p1, 2348], [2387, p1, 2443], (2503, p1, 2546]}
s2:            {(-oo, p2, -50), (-43, p2, -5), (44, p2, 110), [208, p2, 284], [378, p2, 406), [440, p2, 457], (529, p2, 537], (576, p2, 662], [665, p2, 734), (793, p2, 870], (876, p2, 923), [987, p2, 1002), [1009, p2, 1028), [1070, p2, 1165), (1173, p2, 1195), [1287, p2, 1288), (1348, p2, 1442), [1498, p2, 1506], [1550, p2, 1635], [1655, p2, 1739), (1786, p2, 1830)}
union(s1, s2): {(-oo, p1, 44], (44, p2, 110), (159, p1, 208), [208, p2, 279), [279, p1, 345], (347, p1, 440), [440, p2, 457], [528, p1, 576], (576, p2, 662], [665, p2, 696), [696, p1, 763], (793, p2, 814], (814, p1, 876], (876, p2, 923), [987, p2, 995], (995, p1, 1070), [1070, p2, 1162], (1162, p1, 1245), (1272, p1, 1348], (1348, p2, 1427], (1427, p1, 1517], [1550, p2, 1635], [1655, p2, 1739), [1739, p1, 1786], (1786, p2, 1830), (1889, p1, 1910], [1958, p1, 2045), [2135, p1, 2228], (2249, p1, 2348], [2387, p1, 2443], (2503, p1, 2546]}
------------------
s1:            {[65, p1, 135), [191, p1, 271], [359, p1, 379), (435, p1, 512), [528, p1, 608), [622, p1, 668], [752, p1, 810), (875, p1, 901], (905, p1, 990), (1045, p1, 1100), [1111, p1, 1203], (1250, p1, 1332], [1360, p1, 1384], (1412, p1, 1415], (1420, p1, 1464], (1516, p1, 1538], [1627, p1, 1641), (1711, p1, 1759), (1819, p1, 1898), (1951, p1, 1963), [2046, p1, oo)}
s2:            {(-oo, p2, 37), (132, p2, 212), [259, p2, 333), (422, p2, 425), [481, p2, 563), (587, p2, 642], [657, p2, 678], (680, p2, 741], [801, p2, 803], [890, p2, 931], (1017, p2, 1064], [1103, p2, 1103], (1192, p2, 1275), [1349, p2, 1356), (1411, p2, 1483], [1530, p2, 1533], [1601, p2, 1642], [1681, p2, 1692), [1747, p2, 1809), [1850, p2, 1883), (1897, p2, 1964)}
union(s1, s2): {(-oo, p2, 37), [65, p1, 132], (132, p2, 191), [191, p1, 259), [259, p2, 333), [359, p1, 379), (422, p2, 425), (435, p1, 481), [481, p2, 528), [528, p1, 587], (587, p2, 622), [622, p1, 657), [657, p2, 678], (680, p2, 741], [752, p1, 810), (875, p1, 890), [890, p2, 905], (905, p1, 990), (1017, p2, 1045], (1045, p1, 1100), [1103, p2, 1103], [1111, p1, 1192], (1192, p2, 1250], (1250, p1, 1332], [1349, p2, 1356), [1360, p1, 1384], (1411, p2, 1483], (1516, p1, 1538], [1601, p2, 1642], [1681, p2, 1692), (1711, p1, 1747), [1747, p2, 1809), (1819, p1, 1897], (1897, p2, 1964), [2046, p1, oo)}
------------------
s1:            {(-oo, p1, 5), (74, p1, 168), [248, p1, 301), (395, p1, 471], (474, p1, 513], [532, p1, 587], [628, p1, 681], (758, p1, 848], [924, p1, 993), (1074, p1, 1103], [1132, p1, 1148), (1230, p1, 1299], [1387, p1, 1421], (1445, p1, 1534), (1623, p1, 1651), (1674, p1, 1716], [1753, p1, 1801), [1853, p1, 1937), [1979, p1, 2056), [2064, p1, 2115], [2209, p1, 2270]}
s2:            {[-88, p2, -24), [5, p2, 63), [151, p2, 223), (307, p2, 404], [426, p2, 428), (503, p2, 513], (580, p2, 587), (594, p2, 666), (668, p2, 747], (784, p2, 857), (930, p2, 1006), [1087, p2, 1127), [1188, p2, 1237), [1244, p2, 1312), [1360, p2, 1397), [1485, p2, 1548), [1565, p2, 1603), [1628, p2, 1701], [1744, p2, 1818], [1851, p2, 1865), [1918, p2, oo)}
union(s1, s2): {(-oo, p1, 5), [5, p2, 63), (74, p1, 151), [151, p2, 223), [248, p1, 301), (307, p2, 395], (395, p1, 471], (474, p1, 513], [532, p1, 587], (594, p2, 628), [628, p1, 668], (668, p2, 747], (758, p1, 784], (784, p2, 857), [924, p1, 930], (930, p2, 1006), (1074, p1, 1087), [1087, p2, 1127), [1132, p1, 1148), [1188, p2, 1230], (1230, p1, 1244), [1244, p2, 1312), [1360, p2, 1387), [1387, p1, 1421], (1445, p1, 1485), [1485, p2, 1548), [1565, p2, 1603), (1623, p1, 1628), [1628, p2, 1674], (1674, p1, 1716], [1744, p2, 1818], [1851, p2, 1853), [1853, p1, 1918), [1918, p2, oo)}
------------------
s1:            {(-140, p1, -116], (-68, p1, -17), [49, p1, 171], (200, p1, 222], [231, p1, 267), (294, p1, 350), [414, p1, 435], (514, p1, 522), [523, p1, 558], (649, p1, 737), [786, p1, 833], [891, p1, 893), [942, p1, 966], (1020, p1, 1069], (1099, p1, 1136), (1231, p1, 1325], [1332, p1, 1374), [1460, p1, 1519), [1546, p1, 1624], [1693, p1, oo)}
s2:            {(-oo, p2, -73], (-31, p2, 53], [74, p2, 162), [224, p2, 252), (263, p2, 271], (320, p2, 364], [419, p2, 518], [566, p2, 663), [752, p2, 804], [813, p2, 825), [879, p2, 944], [985, p2, 1014), (1042, p2, 1139], (1238, p2, 1299), (1355, p2, 1411), (1431, p2, 1507), [1554, p2, 1623], [1704, p2, 1775], (1861, p2, 1908), (1911, p2, 1966), (1996, p2, 2024]}
union(s1, s2): {(-oo, p2, -73], (-68, p1, -31], (-31, p2, 49), [49, p1, 171], (200, p1, 222], [224, p2, 231), [231, p1, 263], (263, p2, 271], (294, p1, 320], (320, p2, 364], [414, p1, 419), [419, p2, 514], (514, p1, 522), [523, p1, 558], [566, p2, 649], (649, p1, 737), [752, p2, 786), [786, p1, 833], [879, p2, 942), [942, p1, 966], [985, p2, 1014), (1020, p1, 1042], (1042, p2, 1139], (1231, p1, 1325], [1332, p1, 1355], (1355, p2, 1411), (1431, p2, 1460), [1460, p1, 1519), [1546, p1, 1624], [1693, p1, oo)}
------------------
s1:            {[118, p1, 198], [280, p1, 315], (386, p1, 480], [559, p1, 634), [666, p1, 723], [760, p1, 817], [893, p1, 906], (1003, p1, 1077), [1101, p1, 1136], [1210, p1, 1308), [1381, p1, 1427], [1452, p1, 1512], [1562, p1, 1636], (1663, p1, 1698], (1758, p1, 1798), [1809, p1, 1811], (1815, p1, 1844], [1894, p1, 1922), [1947, p1, 2030], (2091, p1, 2117]}
s2:            {(94, p2, 180), (207, p2, 240], (273, p2, 357], (454, p2, 497), [573, p2, 635), [645, p2, 682], [721, p2, 756], [770, p2, 840], (925, p2, 978), [1039, p2, 1130], [1193, p2, 1231], [1262, p2, 1295], [1327, p2, 1369], [1378, p2, 1468), [1478, p2, 1526], [1575, p2, 1632], [1678, p2, 1731), [1785, p2, 1878), [1922, p2, 1936], (2002, p2, 2101)}
union(s1, s2): {(94, p2, 118), [118, p1, 198], (207, p2, 240], (273, p2, 357], (386, p1, 454], (454, p2, 497), [559, p1, 573), [573, p2, 635), [645, p2, 666), [666, p1, 721), [721, p2, 756], [760, p1, 770), [770, p2, 840], [893, p1, 906], (925, p2, 978), (1003, p1, 1039), [1039, p2, 1101), [1101, p1, 1136], [1193, p2, 1210), [1210, p1, 1308), [1327, p2, 1369], [1378, p2, 1452), [1452, p1, 1478), [1478, p2, 1526], [1562, p1, 1636], (1663, p1, 1678), [1678, p2, 1731), (1758, p1, 1785), [1785, p2, 1878), [1894, p1, 1922), [1922, p2, 1936], [1947, p1, 2002], (2002, p2, 2091], (2091, p1, 2117]}
------------------
s1:            {[-83, p1, -54), (45, p1, 65), [100, p1, 113), (189, p1, 258), [268, p1, 329), [366, p1, 443), [537, p1, 549], (570, p1, 642), (655, p1, 656), (715, p1, 716), (720, p1, 793], [827, p1, 881], (948, p1, 998], [1097, p1, 1186], [1269, p1, 1360], (1398, p1, 1516], [1553, p1, 1599], (1646, p1, 1655), (1690, p1, 1786)}
s2:            {(-102, p2, -12), [12, p2, 18], (93, p2, 112], [197, p2, 209), (270, p2, 290), [301, p2, 330], [401, p2, 450], [512, p2, 557), [599, p2, 647), (668, p2, 737], (802, p2, 865], [907, p2, 931], [942, p2, 1036), (1042, p2, 1136), [1155, p2, 1216], [1243, p2, 1295), [1343, p2, 1374], (1461, p2, 1475), (1532, p2, 1618), [1710, p2, 1799]}
union(s1, s2): {(-102, p2, -12), [12, p2, 18], (45, p1, 65), (93, p2, 100), [100, p1, 113), (189, p1, 258), [268, p1, 301), [301, p2, 330], [366, p1, 401), [401, p2, 450], [512, p2, 557), (570, p1, 599), [599, p2, 647), (655, p1, 656), (668, p2, 720], (720, p1, 793], (802, p2, 827), [827, p1, 881], [907, p2, 931], [942, p2, 1036), (1042, p2, 1097), [1097, p1, 1155), [1155, p2, 1216], [1243, p2, 1269), [1269, p1, 1343), [1343, p2, 1374], (1398, p1, 1516], (1532, p2, 1618), (1646, p1, 1655), (1690, p1, 1710), [1710, p2, 1799]}
------------------
s1:            {[65, p1, 75], (162, p1, 227], (307, p1, 402], [475, p1, 518), [549, p1, 597), [641, p1, 661), (749, p1, 846), (880, p1, 891], [983, p1, 1008], [1059, p1, 1237), [1244, p1, 1267], [1289, p1, 1303], (1321, p1, 1351), (1364, p1, 1378], (1438, p1, 1454], [1518, p1, 1587), [1621, p1, 1704), (1803, p1, 1842], [1921, p1, 1972], (2054, p1, oo)}
s2:            {(-61, p2, 37], (83, p2, 94), [171, p2, 188], (271, p2, 337], (380, p2, 436], [530, p2, 550], (578, p2, 580), [616, p2, 695], [770, p2, 858), (881, p2, 883), [899, p2, 945), [1007, p2, 1078), [1159, p2, 1205], (1219, p2, 1261], (1355, p2, 1359], (1370, p2, 1402], (1407, p2, 1488], [1543, p2, 1584], (1671, p2, 1688], [1740, p2, 1763], [1783, p2, oo)}
union(s1, s2): {(-61, p2, 37], [65, p1, 75], (83, p2, 94), (162, p1, 227], (271, p2, 307], (307, p1, 380], (380, p2, 436], [475, p1, 518), [530, p2, 549), [549, p1, 597), [616, p2, 695], (749, p1, 770), [770, p2, 858), (880, p1, 891], [899, p2, 945), [983, p1, 1007), [1007, p2, 1059), [1059, p1, 1219], (1219, p2, 1244), [1244, p1, 1267], [1289, p1, 1303], (1321, p1, 1351), (1355, p2, 1359], (1364, p1, 1370], (1370, p2, 1402], (1407, p2, 1488], [1518, p1, 1587), [1621, p1, 1704), [1740, p2, 1763], [1783, p2, oo)}
------------------
s1:            {(-oo, p1, 71), [166, p1, 187), [249, p1, 250), (338, p1, 352), [403, p1, 478), [568, p1, 583], (623, p1, 642), (673, p1, 770), (796, p1, 816], (875, p1, 927], [1022, p1, 1066), (1149, p1, 1239], (1295, p1, 1298), (1311, p1, 1375], [1470, p1, 1486), [1495, p1, 1518], (1556, p1, 1567], (1611, p1, 1680), [1702, p1, 1743], (1811, p1, 1904), [1925, p1, 1968]}
s2:            {[6, p2, 51), [110, p2, 125), [158, p2, 208], (280, p2, 378], (473, p2, 508], [544, p2, 632), [668, p2, 714], [720, p2, 786), (814, p2, 866], [961, p2, 1017), (1076, p2, 1162), (1209, p2, 1241], [1243, p2, 1286], [1377, p2, 1464], (1489, p2, 1568], (1649, p2, 1738), [1786, p2, 1787], (1830, p2, 1870), (1920, p2, 1938], [1971, p2, 2031]}
union(s1, s2): {(-oo, p1, 71), [110, p2, 125), [158, p2, 208], [249, p1, 250), (280, p2, 378], [403, p1, 473], (473, p2, 508], [544, p2, 623], (623, p1, 642), [668, p2, 673], (673, p1, 720), [720, p2, 786), (796, p1, 814], (814, p2, 866], (875, p1, 927], [961, p2, 1017), [1022, p1, 1066), (1076, p2, 1149], (1149, p1, 1209], (1209, p2, 1241], [1243, p2, 1286], (1295, p1, 1298), (1311, p1, 1375], [1377, p2, 1464], [1470, p1, 1486), (1489, p2, 1568], (1611, p1, 1649], (1649, p2, 1702), [1702, p1, 1743], [1786, p2, 1787], (1811, p1, 1904), (1920, p2, 1925), [1925, p1, 1968], [1971, p2, 2031]}
------------------
s1:            {(128, p1, 170], (238, p1, 313], (363, p1, 418), (442, p1, 465], [490, p1, 498], (506, p1, 568), [638, p1, 639), [654, p1, 713], [725, p1, 811], [853, p1, 876), [954, p1, 993], (1051, p1, 1120], [1179, p1, 1220), [1235, p1, 1381], [1475, p1, 1547), (1605, p1, 1699], (1745, p1, 1766], [1791, p1, 1818]}
s2:            {(235, p2, 280], [328, p2, 416), (464, p2, 543), (568, p2, 647], (740, p2, 833), (867, p2, 942], (996, p2, 1061], [1124, p2, 1198), (1293, p2, 1376], (1433, p2, 1441), (1511, p2, 1564), [1571, p2, 1633), (1637, p2, 1707], [1779, p2, 1803), (1836, p2, 1847], [1934, p2, 1998], (2082, p2, 2083], [2134, p2, 2206), [2271, p2, 2332), [2391, p2, 2459)}
union(s1, s2): {(128, p1, 170], (235, p2, 238], (238, p1, 313], [328, p2, 363], (363, p1, 418), (442, p1, 464], (464, p2, 506], (506, p1, 568), (568, p2, 647], [654, p1, 713], [725, p1, 740], (740, p2, 833), [853, p1, 867], (867, p2, 942], [954, p1, 993], (996, p2, 1051], (1051, p1, 1120], [1124, p2, 1179), [1179, p1, 1220), [1235, p1, 1381], (1433, p2, 1441), [1475, p1, 1511], (1511, p2, 1564), [1571, p2, 1605], (1605, p1, 1637], (1637, p2, 1707], (1745, p1, 1766], [1779, p2, 1791), [1791, p1, 1818], (1836, p2, 1847], [1934, p2, 1998], (2082, p2, 2083], [2134, p2, 2206), [2271, p2, 2332), [2391, p2, 2459)}
------------------
s1:            {(-oo, p1, 205), [299, p1, 313), (364, p1, 365), [445, p1, 484), (582, p1, 608), (609, p1, 680], [750, p1, 783), [815, p1, 816], (822, p1, 824), [884, p1, 922], (1018, p1, 1089], [1119, p1, 1128), (1159, p1, 1221], [1280, p1, 1352], [1421, p1, 1459], (1490, p1, 1520), (1530, p1, 1555), (1558, p1, 1598], (1613, p1, 1706], [1766, p1, 1826), [1838, p1, 1874), (1950, p1, oo)}
s2:            {(-oo, p2, -167], (-143, p2, -94], (-68, p2, -15], (53, p2, 99), (146, p2, 213), [252, p2, 308), (372, p2, 448), [538, p2, 610], [695, p2, 719], (738, p2, 811], (870, p2, 902], (911, p2, 997], [1012, p2, 1085), [1145, p2, 1223], (1294, p2, 1313), [1396, p2, 1483), [1515, p2, 1562], [1646, p2, 1718), (1736, p2, 1806], [1841, p2, 1868], [1899, p2, 1935), (1998, p2, oo)}
union(s1, s2): {(-oo, p1, 146], (146, p2, 213), [252, p2, 299), [299, p1, 313), (364, p1, 365), (372, p2, 445), [445, p1, 484), [538, p2, 609], (609, p1, 680], [695, p2, 719], (738, p2, 811], [815, p1, 816], (822, p1, 824), (870, p2, 884), [884, p1, 911], (911, p2, 997], [1012, p2, 1018], (1018, p1, 1089], [1119, p1, 1128), [1145, p2, 1223], [1280, p1, 1352], [1396, p2, 1483), (1490, p1, 1515), [1515, p2, 1558], (1558, p1, 1598], (1613, p1, 1646), [1646, p2, 1718), (1736, p2, 1766), [1766, p1, 1826), [1838, p1, 1874), [1899, p2, 1935), (1950, p1, oo)}
------------------
s1:            {[51, p1, 118], [201, p1, 227], [256, p1, 318), (399, p1, 451), [531, p1, 536), (548, p1, 582), (607, p1, 654], [672, p1, 734], (803, p1, 889], (912, p1, 1000), [1015, p1, 1039), (1120, p1, 1207], (1209, p1, 1268], (1362, p1, 1454), (1482, p1, 1512], [1572, p1, 1582], [1665, p1, 1763], (1843, p1, 1890], [1962, p1, 1979), (2002, p1, 2016], (2035, p1, oo)}
s2:            {[4, p2, 97), [121, p2, 197], [228, p2, 268], (291, p2, 293), [386, p2, 464), (522, p2, 553), (599, p2, 632], (684, p2, 730], [815, p2, 907), [948, p2, 988), (1044, p2, 1061), (1074, p2, 1169), (1226, p2, 1240], (1298, p2, 1314], [1384, p2, 1445], (1467, p2, 1523), [1577, p2, 1584], (1678, p2, 1693), (1758, p2, 1780], [1861, p2, 1913)}
union(s1, s2): {[4, p2, 51), [51, p1, 118], [121, p2, 197], [201, p1, 227], [228, p2, 256), [256, p1, 318), [386, p2, 464), (522, p2, 548], (548, p1, 582), (599, p2, 607], (607, p1, 654], [672, p1, 734], (803, p1, 815), [815, p2, 907), (912, p1, 1000), [1015, p1, 1039), (1044, p2, 1061), (1074, p2, 1120], (1120, p1, 1207], (1209, p1, 1268], (1298, p2, 1314], (1362, p1, 1454), (1467, p2, 1523), [1572, p1, 1577), [1577, p2, 1584], [1665, p1, 1758], (1758, p2, 1780], (1843, p1, 1861), [1861, p2, 1913), [1962, p1, 1979), (2002, p1, 2016], (2035, p1, oo)}
------------------
s1:            {(-135, p1, -45], [4, p1, 90], (157, p1, 246], [256, p1, 284), [310, p1, 392), (430, p1, 509], [517, p1, 547), [553, p1, 614], (655, p1, 743], [785, p1, 860], [894, p1, 968], [1006, p1, 1079], [1083, p1, 1156], [1165, p1, 1197), (1269, p1, 1334], (1383, p1, 1435), [1444, p1, 1458), [1543, p1, 1635), [1708, p1, 1800), [1827, p1, 1920]}
s2:            {[-80, p2, -29], [59, p2, 62], [136, p2, 198), (245, p2, 336], [371, p2, 414], [469, p2, 520], (594, p2, 607], (638, p2, 676), [715, p2, 810), (906, p2, 944], [1004, p2, 1103], (1117, p2, 1207), [1208, p2, 1259], (1310, p2, 1311], (1368, p2, 1439), [1511, p2, 1576], (1600, p2, 1649], (1706, p2, 1775), [1822, p2, 1914], (1944, p2, 2007]}
union(s1, s2): {(-135, p1, -80), [-80, p2, -29], [4, p1, 90], [136, p2, 157], (157, p1, 245], (245, p2, 310), [310, p1, 371), [371, p2, 414], (430, p1, 469), [469, p2, 517), [517, p1, 547), [553, p1, 614], (638, p2, 655], (655, p1, 715), [715, p2, 785), [785, p1, 860], [894, p1, 968], [1004, p2, 1083), [1083, p1, 1117], (1117, p2, 1207), [1208, p2, 1259], (1269, p1, 1334], (1368, p2, 1439), [1444, p1, 1458), [1511, p2, 1543), [1543, p1, 1600], (1600, p2, 1649], (1706, p2, 1708), [1708, p1, 1800), [1822, p2, 1827), [1827, p1, 1920], (1944, p2, 2007]}
------------------
s1:            {[-122, p1, -33), (5, p1, 58], [99, p1, 128), (224, p1, 318], [346, p1, 388), (396, p1, 473), [568, p1, 586], [601, p1, 689], (779, p1, 785], [797, p1, 889], (897, p1, 912), (1004, p1, 1058), [1124, p1, 1214], [1291, p1, 1366), [1397, p1, 1405), [1497, p1, 1542), (1568, p1, 1582), [1673, p1, 1736), [1824, p1, 1866], (1917, p1, 1973)}
s2:            {[195, p2, 254), (273, p2, 337], [377, p2, 472), [492, p2, 570], [658, p2, 703), (768, p2, 817], (819, p2, 831], [901, p2, 985], (1056, p2, 1108), [1179, p2, 1194), (1203, p2, 1275], (1287, p2, 1348), (1407, p2, 1439], (1484, p2, 1579], (1670, p2, 1701], [1715, p2, 1810), (1874, p2, 1908), [1988, p2, 2054], (2072, p2, 2091], [2154, p2, 2209)}
union(s1, s2): {[-122, p1, -33), (5, p1, 58], [99, p1, 128), [195, p2, 224], (224, p1, 273], (273, p2, 337], [346, p1, 377), [377, p2, 396], (396, p1, 473), [492, p2, 568), [568, p1, 586], [601, p1, 658), [658, p2, 703), (768, p2, 797), [797, p1, 889], (897, p1, 901), [901, p2, 985], (1004, p1, 1056], (1056, p2, 1108), [1124, p1, 1203], (1203, p2, 1275], (1287, p2, 1291), [1291, p1, 1366), [1397, p1, 1405), (1407, p2, 1439], (1484, p2, 1568], (1568, p1, 1582), (1670, p2, 1673), [1673, p1, 1715), [1715, p2, 1810), [1824, p1, 1866], (1874, p2, 1908), (1917, p1, 1973), [1988, p2, 2054], (2072, p2, 2091], [2154, p2, 2209)}
------------------
s1:            {(283, p1, 338], (366, p1, 367], (390, p1, 445), (473, p1, 491], [496, p1, 580), (589, p1, 638], (715, p1, 782), (800, p1, 874), (932, p1, 999), [1081, p1, 1090], (1105, p1, 1113), (1153, p1, 1202), [1284, p1, 1315], [1404, p1, 1485], [1575, p1, 1602), [1651, p1, 1700), [1769, p1, 1806], (1808, p1, 1833), (1875, p1, 1908), [1943, p1, 1977]}
s2:            {(-oo, p2, 201), (252, p2, 324], [419, p2, 475], (489, p2, 532), (594, p2, 648], [664, p2, 755), [790, p2, 842), [886, p2, 959], [985, p2, 996], (1021, p2, 1092], [1188, p2, 1230), (1285, p2, 1347), [1364, p2, 1409], (1491, p2, 1524), [1589, p2, 1644), (1692, p2, 1707), [1734, p2, 1738], [1836, p2, 1925), [1994, p2, 2086), [2141, p2, 2146), (2204, p2, 2281), (2305, p2, oo)}
union(s1, s2): {(-oo, p2, 201), (252, p2, 283], (283, p1, 338], (366, p1, 367], (390, p1, 419), [419, p2, 473], (473, p1, 489], (489, p2, 496), [496, p1, 580), (589, p1, 594], (594, p2, 648], [664, p2, 715], (715, p1, 782), [790, p2, 800], (800, p1, 874), [886, p2, 932], (932, p1, 999), (1021, p2, 1092], (1105, p1, 1113), (1153, p1, 1188), [1188, p2, 1230), [1284, p1, 1285], (1285, p2, 1347), [1364, p2, 1404), [1404, p1, 1485], (1491, p2, 1524), [1575, p1, 1589), [1589, p2, 1644), [1651, p1, 1692], (1692, p2, 1707), [1734, p2, 1738], [1769, p1, 1806], (1808, p1, 1833), [1836, p2, 1925), [1943, p1, 1977], [1994, p2, 2086), [2141, p2, 2146), (2204, p2, 2281), (2305, p2, oo)}
------------------
s1:            {(-124, p1, -108], [-54, p1, 30], [48, p1, 74), [86, p1, 126], (138, p1, 202], [207, p1, 291), [302, p1, 323], (416, p1, 513], [587, p1, 595], (639, p1, 731], [828, p1, 884), (933, p1, 947), (1022, p1, 1042], [1114, p1, 1163), [1236, p1, 1296), (1385, p1, 1434), (1504, p1, 1510), (1532, p1, 1600], (1617, p1, 1619], (1640, p1, 1654), (1713, p1, oo)}
s2:            {(134, p2, 179], [203, p2, 235), [278, p2, 336], [360, p2, 437), [481, p2, 505), [602, p2, 697), [717, p2, 780), (873, p2, 935), [942, p2, 1002], (1062, p2, 1100), [1107, p2, 1198], [1238, p2, 1287), (1322, p2, 1408), [1417, p2, 1440), [1476, p2, 1480), (1486, p2, 1511), (1610, p2, 1677], [1703, p2, 1721], [1769, p2, 1820), (1891, p2, 1988], [2036, p2, oo)}
union(s1, s2): {(-124, p1, -108], [-54, p1, 30], [48, p1, 74), [86, p1, 126], (134, p2, 138], (138, p1, 202], [203, p2, 207), [207, p1, 278), [278, p2, 336], [360, p2, 416], (416, p1, 513], [587, p1, 595], [602, p2, 639], (639, p1, 717), [717, p2, 780), [828, p1, 873], (873, p2, 933], (933, p1, 942), [942, p2, 1002], (1022, p1, 1042], (1062, p2, 1100), [1107, p2, 1198], [1236, p1, 1296), (1322, p2, 1385], (1385, p1, 1417), [1417, p2, 1440), [1476, p2, 1480), (1486, p2, 1511), (1532, p1, 1600], (1610, p2, 1677], [1703, p2, 1713], (1713, p1, oo)}
------------------
s1:            {(-oo, p1, -120), (-37, p1, -24), [36, p1, 117], (130, p1, 177], (187, p1, 263), [302, p1, 302], (390, p1, 463], [474, p1, 512], (520, p1, 596), [643, p1, 740], [743, p1, 750], [759, p1, 826], [908, p1, 911], (920, p1, 933], [1029, p1, 1094], [1184, p1, 1233), [1278, p1, 1360), (1445, p1, 1455], [1492, p1, 1500], (1580, p1, 1675], (1697, p1, 1768]}
s2:            {[244, p2, 254], (264, p2, 344], (362, p2, 389), [402, p2, 479], (568, p2, 665), [715, p2, 735], (782, p2, 798), [895, p2, 966], [975, p2, 1003], (1010, p2, 1109), (1176, p2, 1267), (1278, p2, 1301], (1382, p2, 1431], (1461, p2, 1560], [1603, p2, 1654), (1658, p2, 1680], (1742, p2, 1822], [1843, p2, 1849], [1906, p2, 1909), (1981, p2, 2080)}
union(s1, s2): {(-oo, p1, -120), (-37, p1, -24), [36, p1, 117], (130, p1, 177], (187, p1, 263), (264, p2, 344], (362, p2, 389), (390, p1, 402), [402, p2, 474), [474, p1, 512], (520, p1, 568], (568, p2, 643), [643, p1, 740], [743, p1, 750], [759, p1, 826], [895, p2, 966], [975, p2, 1003], (1010, p2, 1109), (1176, p2, 1267), [1278, p1, 1360), (1382, p2, 1431], (1445, p1, 1455], (1461, p2, 1560], (1580, p1, 1658], (1658, p2, 1680], (1697, p1, 1742], (1742, p2, 1822], [1843, p2, 1849], [1906, p2, 1909), (1981, p2, 2080)}
------------------
s1:            {(-oo, p1, -115), (-76, p1, -18), (57, p1, 89), (145, p1, 233), (297, p1, 328), [408, p1, 467), [564, p1, 605], [674, p1, 731), [774, p1, 818], [893, p1, 906], [914, p1, 969], (977, p1, 1008), [1082, p1, 1124], [1175, p1, 1224), (1263, p1, 1270], [1279, p1, 1378], (1386, p1, 1425], (1452, p1, 1508], [1571, p1, 1586), (1649, p1, 1704), [1776, p1, 1860], (1863, p1, oo)}
s2:            {[118, p2, 194], [281, p2, 348), [405, p2, 504], (547, p2, 596), (656, p2, 717], [734, p2, 884], [952, p2, 980), (983, p2, 1075], [1128, p2, 1166], [1243, p2, 1301], [1382, p2, 1432), (1473, p2, 1502], (1562, p2, 1574), (1613, p2, 1683), [1697, p2, 1741), (1777, p2, 1846], [1862, p2, 1958), (1975, p2, 1999], [2098, p2, 2181), (2235, p2, oo)}
union(s1, s2): {(-oo, p1, -115), (-76, p1, -18), (57, p1, 89), [118, p2, 145], (145, p1, 233), [281, p2, 348), [405, p2, 504], (547, p2, 564), [564, p1, 605], (656, p2, 674), [674, p1, 731), [734, p2, 884], [893, p1, 906], [914, p1, 952), [952, p2, 977], (977, p1, 983], (983, p2, 1075], [1082, p1, 1124], [1128, p2, 1166], [1175, p1, 1224), [1243, p2, 1279), [1279, p1, 1378], [1382, p2, 1432), (1452, p1, 1508], (1562, p2, 1571), [1571, p1, 1586), (1613, p2, 1649], (1649, p1, 1697), [1697, p2, 1741), [1776, p1, 1860], [1862, p2, 1863], (1863, p1, oo)}
------------------
s1:            {(-oo, p1, 9], [28, p1, 81), (136, p1, 163), (172, p1, 226], (228, p1, 310], (393, p1, 456], [495, p1, 541), [619, p1, 718), (774, p1, 799), [856, p1, 885], (915, p1, 999], [1044, p1, 1112), (1180, p1, 1189), [1248, p1, 1252), [1347, p1, 1435], [1508, p1, 1603), [1683, p1, 1714), [1720, p1, 1813), [1875, p1, 1952), [1990, p1, 2046), (2111, p1, 2153]}
s2:            {[-52, p2, -13), (83, p2, 113], (123, p2, 202), [290, p2, 376], (425, p2, 478), (523, p2, 567], [578, p2, 653], [669, p2, 747), [820, p2, 887), [895, p2, 915], (957, p2, 1004), (1081, p2, 1167), (1255, p2, 1311], [1390, p2, 1413), (1507, p2, 1579), (1631, p2, 1690), [1774, p2, 1830), (1920, p2, 2006), [2012, p2, 2074], (2159, p2, 2183]}
union(s1, s2): {(-oo, p1, 9], [28, p1, 81), (83, p2, 113], (123, p2, 172], (172, p1, 226], (228, p1, 290), [290, p2, 376], (393, p1, 425], (425, p2, 478), [495, p1, 523], (523, p2, 567], [578, p2, 619), [619, p1, 669), [669, p2, 747), (774, p1, 799), [820, p2, 887), [895, p2, 915], (915, p1, 957], (957, p2, 1004), [1044, p1, 1081], (1081, p2, 1167), (1180, p1, 1189), [1248, p1, 1252), (1255, p2, 1311], [1347, p1, 1435], (1507, p2, 1508), [1508, p1, 1603), (1631, p2, 1683), [1683, p1, 1714), [1720, p1, 1774), [1774, p2, 1830), [1875, p1, 1920], (1920, p2, 1990), [1990, p1, 2012), [2012, p2, 2074], (2111, p1, 2153], (2159, p2, 2183]}
------------------
s1:            {(-oo, p1, 43], [106, p1, 145), [183, p1, 216], [276, p1, 289), [353, p1, 383), [449, p1, 484), (499, p1, 524], [609, p1, 616], (703, p1, 774), [794, p1, 840], (847, p1, 920), (984, p1, 1028], (1097, p1, 1192), [1259, p1, 1294), (1307, p1, 1331), [1384, p1, 1461), [1491, p1, 1582), [1665, p1, 1702], (1796, p1, 1839), [1926, p1, 1932), (1957, p1, 1969]}
s2:            {(-33, p2, 17), [115, p2, 128), [142, p2, 228), [302, p2, 340], [341, p2, 440), [449, p2, 493], (541, p2, 615], (707, p2, 783), (815, p2, 844], (884, p2, 927], (994, p2, 1012), (1079, p2, 1149), [1158, p2, 1160), (1242, p2, 1295], [1312, p2, 1314), (1400, p2, 1488], [1492, p2, 1530), (1548, p2, 1609), (1659, p2, 1664), (1751, p2, 1783], (1814, p2, oo)}
union(s1, s2): {(-oo, p1, 43], [106, p1, 142), [142, p2, 228), [276, p1, 289), [302, p2, 340], [341, p2, 440), [449, p2, 493], (499, p1, 524], (541, p2, 609), [609, p1, 616], (703, p1, 707], (707, p2, 783), [794, p1, 815], (815, p2, 844], (847, p1, 884], (884, p2, 927], (984, p1, 1028], (1079, p2, 1097], (1097, p1, 1192), (1242, p2, 1295], (1307, p1, 1331), [1384, p1, 1400], (1400, p2, 1488], [1491, p1, 1548], (1548, p2, 1609), (1659, p2, 1664), [1665, p1, 1702], (1751, p2, 1783], (1796, p1, 1814], (1814, p2, oo)}
------------------
s1:            {(-150, p1, -53), [-38, p1, -37), [60, p1, 80], (97, p1, 128], (137, p1, 176], [253, p1, 350], [357, p1, 432], [530, p1, 556), [565, p1, 704), [739, p1, 755), [837, p1, 875), [880, p1, 934), (943, p1, 983], [993, p1, 1008), (1039, p1, 1136), (1215, p1, 1309], (1366, p1, 1451), [1453, p1, 1518], (1555, p1, 1622]}
s2:            {(-oo, p2, 188], [255, p2, 315], (322, p2, 348), (426, p2, 428), (441, p2, 497), [570, p2, 635), (666, p2, 734), (824, p2, 917], [975, p2, 1038], (1043, p2, 1119], [1204, p2, 1234), [1304, p2, 1367], (1372, p2, 1467], [1484, p2, 1565], (1632, p2, 1731), [1737, p2, 1805], (1849, p2, 1859), [1941, p2, 1982), (2036, p2, 2084), [2087, p2, 2169)}
union(s1, s2): {(-oo, p2, 188], [253, p1, 350], [357, p1, 432], (441, p2, 497), [530, p1, 556), [565, p1, 666], (666, p2, 734), [739, p1, 755), (824, p2, 880), [880, p1, 934), (943, p1, 975), [975, p2, 1038], (1039, p1, 1136), [1204, p2, 1215], (1215, p1, 1304), [1304, p2, 1366], (1366, p1, 1372], (1372, p2, 1453), [1453, p1, 1484), [1484, p2, 1555], (1555, p1, 1622], (1632, p2, 1731), [1737, p2, 1805], (1849, p2, 1859), [1941, p2, 1982), (2036, p2, 2084), [2087, p2, 2169)}
------------------
s1:            {(-oo, p1, 235], [254, p1, 295), (375, p1, 406], [414, p1, 454), [473, p1, 486], (548, p1, 576), (625, p1, 656), [685, p1, 692], [752, p1, 785], (804, p1, 828), [924, p1, 1003], [1062, p1, 1118), (1155, p1, 1156], [1247, p1, 1296), [1329, p1, 1340), (1387, p1, 1478), (1510, p1, 1523), (1595, p1, 1633), [1682, p1, 1766], [1792, p1, 1817), (1909, p1, 1932]}
s2:            {[-47, p2, -44), (-27, p2, 70], (119, p2, 139], (199, p2, 226], [246, p2, 264), (327, p2, 396], (440, p2, 488], [579, p2, 658), [708, p2, 716), (753, p2, 823], (835, p2, 847), [921, p2, 944], (958, p2, 975), (1064, p2, 1099), (1108, p2, 1152), (1237, p2, 1290), (1346, p2, 1381), (1456, p2, 1499), [1517, p2, 1519), [1569, p2, 1631), (1670, p2, oo)}
union(s1, s2): {(-oo, p1, 235], [246, p2, 254), [254, p1, 295), (327, p2, 375], (375, p1, 406], [414, p1, 440], (440, p2, 488], (548, p1, 576), [579, p2, 658), [685, p1, 692], [708, p2, 716), [752, p1, 753], (753, p2, 804], (804, p1, 828), (835, p2, 847), [921, p2, 924), [924, p1, 1003], [1062, p1, 1108], (1108, p2, 1152), (1155, p1, 1156], (1237, p2, 1247), [1247, p1, 1296), [1329, p1, 1340), (1346, p2, 1381), (1387, p1, 1456], (1456, p2, 1499), (1510, p1, 1523), [1569, p2, 1595], (1595, p1, 1633), (1670, p2, oo)}
------------------
s1:            {(44, p1, 117], [145, p1, 216], [277, p1, 290), (335, p1, 412], [500, p1, 551), (606, p1, 618), (711, p1, 780], [795, p1, 829], [895, p1, 951), [1040, p1, 1067], [1106, p1, 1194], [1267, p1, 1309], [1405, p1, 1430), (1512, p1, 1596], (1694, p1, 1713), [1730, p1, 1807), [1890, p1, 1958], (1977, p1, 2014), [2056, p1, 2069), [2165, p1, 2261)}
s2:            {(201, p2, 230], (255, p2, 268], [344, p2, 403], [480, p2, 511), [597, p2, 654], (667, p2, 685], [726, p2, 824), (826, p2, 857), (923, p2, 975], [1051, p2, 1148], (1182, p2, 1208], (1245, p2, 1328), [1402, p2, 1477), (1492, p2, 1500], (1548, p2, 1614], (1656, p2, 1753), (1800, p2, 1848), (1851, p2, 1886], (1925, p2, 1974], (2042, p2, 2141]}
union(s1, s2): {(44, p1, 117], [145, p1, 201], (201, p2, 230], (255, p2, 268], [277, p1, 290), (335, p1, 412], [480, p2, 500), [500, p1, 551), [597, p2, 654], (667, p2, 685], (711, p1, 726), [726, p2, 795), [795, p1, 826], (826, p2, 857), [895, p1, 923], (923, p2, 975], [1040, p1, 1051), [1051, p2, 1106), [1106, p1, 1182], (1182, p2, 1208], (1245, p2, 1328), [1402, p2, 1477), (1492, p2, 1500], (1512, p1, 1548], (1548, p2, 1614], (1656, p2, 1730), [1730, p1, 1800], (1800, p2, 1848), (1851, p2, 1886], [1890, p1, 1925], (1925, p2, 1974], (1977, p1, 2014), (2042, p2, 2141], [2165, p1, 2261)}
------------------
s1:            {(148, p1, 210), (257, p1, 274), (313, p1, 338), [421, p1, 442], [464, p1, 544), (633, p1, 651], (726, p1, 800], [826, p1, 853], [885, p1, 931], (966, p1, 1053], (1124, p1, 1180], (1185, p1, 1219), (1308, p1, 1353), [1444, p1, 1498], (1573, p1, 1632), [1643, p1, 1698), (1751, p1, 1809], (1894, p1, 1945), [1979, p1, 1988], [2079, p1, 2102), (2149, p1, oo)}
s2:            {(-oo, p2, 210], (216, p2, 251], [331, p2, 430), (469, p2, 552), [560, p2, 581), [632, p2, 720), (766, p2, 807), (841, p2, 847), (880, p2, 974), [1048, p2, 1058), (1091, p2, 1175), (1228, p2, 1277), [1346, p2, 1365], [1448, p2, 1509], (1512, p2, 1519), [1571, p2, 1588), (1614, p2, 1624], (1691, p2, 1787), (1882, p2, 1923), [2013, p2, 2030), [2047, p2, 2118)}
union(s1, s2): {(-oo, p2, 210], (216, p2, 251], (257, p1, 274), (313, p1, 331), [331, p2, 421), [421, p1, 442], [464, p1, 469], (469, p2, 552), [560, p2, 581), [632, p2, 720), (726, p1, 766], (766, p2, 807), [826, p1, 853], (880, p2, 966], (966, p1, 1048), [1048, p2, 1058), (1091, p2, 1124], (1124, p1, 1180], (1185, p1, 1219), (1228, p2, 1277), (1308, p1, 1346), [1346, p2, 1365], [1444, p1, 1448), [1448, p2, 1509], (1512, p2, 1519), [1571, p2, 1573], (1573, p1, 1632), [1643, p1, 1691], (1691, p2, 1751], (1751, p1, 1809], (1882, p2, 1894], (1894, p1, 1945), [1979, p1, 1988], [2013, p2, 2030), [2047, p2, 2118), (2149, p1, oo)}
------------------
s1:            {(-oo, p1, -57], (-4, p1, 52), [120, p1, 122], [206, p1, 211), [259, p1, 340], (399, p1, 492), [506, p1, 559), (609, p1, 619), (676, p1, 685], (780, p1, 809], (814, p1, 909], [942, p1, 949), [1041, p1, 1097), [1105, p1, 1113], [1149, p1, 1210], [1220, p1, 1292), (1388, p1, 1436), (1497, p1, 1550), [1552, p1, 1617), (1700, p1, 1714), [1729, p1, 1771]}
s2:            {[215, p2, 222], [243, p2, 299), (396, p2, 441), (537, p2, 636], (675, p2, 680], [745, p2, 760), (786, p2, 859], (929, p2, 971), [1061, p2, 1148], (1210, p2, 1219), [1230, p2, 1292], (1367, p2, 1369], (1414, p2, 1434), (1521, p2, 1579), [1623, p2, 1678), (1733, p2, 1816), (1829, p2, 1830), (1833, p2, 1837), (1889, p2, 1918], (1998, p2, 2046], (2135, p2, oo)}
union(s1, s2): {(-oo, p1, -57], (-4, p1, 52), [120, p1, 122], [206, p1, 211), [215, p2, 222], [243, p2, 259), [259, p1, 340], (396, p2, 399], (399, p1, 492), [506, p1, 537], (537, p2, 636], (675, p2, 676], (676, p1, 685], [745, p2, 760), (780, p1, 786], (786, p2, 814], (814, p1, 909], (929, p2, 971), [1041, p1, 1061), [1061, p2, 1148], [1149, p1, 1210], (1210, p2, 1219), [1220, p1, 1230), [1230, p2, 1292], (1367, p2, 1369], (1388, p1, 1436), (1497, p1, 1521], (1521, p2, 1552), [1552, p1, 1617), [1623, p2, 1678), (1700, p1, 1714), [1729, p1, 1733], (1733, p2, 1816), (1829, p2, 1830), (1833, p2, 1837), (1889, p2, 1918], (1998, p2, 2046], (2135, p2, oo)}
------------------
s1:            {(-oo, p1, 138], [162, p1, 189], [201, p1, 275], [363, p1, 455), (502, p1, 593], (672, p1, 754], [774, p1, 852], [884, p1, 947], [1003, p1, 1060], (1081, p1, 1103), (1178, p1, 1187], (1249, p1, 1250], [1324, p1, 1390], (1446, p1, 1447), [1532, p1, 1561), [1608, p1, 1707], (1757, p1, 1846], (1907, p1, 1993], (2030, p1, 2032], (2085, p1, 2184), (2186, p1, 2251), [2306, p1, oo)}
s2:            {(-oo, p2, 32), (125, p2, 144], (194, p2, 216], [275, p2, 346), [360, p2, 454], (459, p2, 535), [628, p2, 723], (799, p2, 846], (942, p2, 1008), (1067, p2, 1087), (1141, p2, 1220), [1247, p2, 1303), (1390, p2, 1457], [1543, p2, 1634), (1674, p2, 1684], [1731, p2, 1732), [1782, p2, 1836], [1866, p2, 1895), (1994, p2, 2084], (2113, p2, 2173), [2184, p2, 2215]}
union(s1, s2): {(-oo, p1, 125], (125, p2, 144], [162, p1, 189], (194, p2, 201), [201, p1, 275), [275, p2, 346), [360, p2, 363), [363, p1, 455), (459, p2, 502], (502, p1, 593], [628, p2, 672], (672, p1, 754], [774, p1, 852], [884, p1, 942], (942, p2, 1003), [1003, p1, 1060], (1067, p2, 1081], (1081, p1, 1103), (1141, p2, 1220), [1247, p2, 1303), [1324, p1, 1390], (1390, p2, 1457], [1532, p1, 1543), [1543, p2, 1608), [1608, p1, 1707], [1731, p2, 1732), (1757, p1, 1846], [1866, p2, 1895), (1907, p1, 1993], (1994, p2, 2084], (2085, p1, 2184), [2184, p2, 2186], (2186, p1, 2251), [2306, p1, oo)}
------------------
s1:            {[6, p1, 30), (112, p1, 173), [265, p1, 315), (391, p1, 443], (494, p1, 570], (612, p1, 624), (648, p1, 686), [712, p1, 761], [835, p1, 887), (934, p1, 974), (1071, p1, 1125), (1215, p1, 1305], (1376, p1, 1386), (1391, p1, 1469], [1491, p1, 1514], (1534, p1, 1628], [1664, p1, 1698], [1701, p1, 1731), (1740, p1, 1788], [1849, p1, 1913], (1942, p1, oo)}
s2:            {(-oo, p2, 183], (247, p2, 326), [378, p2, 444), (464, p2, 499), [557, p2, 613), (678, p2, 718), (791, p2, 795), [859, p2, 918], (923, p2, 992], [998, p2, 1068], [1150, p2, 1158), (1220, p2, 1306], (1382, p2, 1449), (1506, p2, 1536), (1567, p2, 1654), (1709, p2, 1731), [1802, p2, 1824], [1852, p2, 1925], (1975, p2, 2013), (2041, p2, 2044), (2133, p2, 2209), [2301, p2, oo)}
union(s1, s2): {(-oo, p2, 183], (247, p2, 326), [378, p2, 444), (464, p2, 494], (494, p1, 557), [557, p2, 612], (612, p1, 624), (648, p1, 678], (678, p2, 712), [712, p1, 761], (791, p2, 795), [835, p1, 859), [859, p2, 918], (923, p2, 992], [998, p2, 1068], (1071, p1, 1125), [1150, p2, 1158), (1215, p1, 1220], (1220, p2, 1306], (1376, p1, 1382], (1382, p2, 1391], (1391, p1, 1469], [1491, p1, 1506], (1506, p2, 1534], (1534, p1, 1567], (1567, p2, 1654), [1664, p1, 1698], [1701, p1, 1731), (1740, p1, 1788], [1802, p2, 1824], [1849, p1, 1852), [1852, p2, 1925], (1942, p1, oo)}
------------------
s1:            {(-oo, p1, 201], (267, p1, 304], (364, p1, 461], [559, p1, 617), (674, p1, 756), [805, p1, 880), (920, p1, 973], (1013, p1, 1085), [1109, p1, 1208), (1295, p1, 1299], [1305, p1, 1343), (1390, p1, 1427), (1478, p1, 1551), (1580, p1, 1657), [1676, p1, 1729], (1822, p1, 1828), (1912, p1, 1933], (2018, p1, 2056), (2061, p1, 2103), (2134, p1, 2182), [2234, p1, 2238)}
s2:            {(-138, p2, -42), (53, p2, 66), (93, p2, 145), [181, p2, 252), (296, p2, 338), [376, p2, 469], [518, p2, 538], (618, p2, 678], (774, p2, 837), (854, p2, 902), (991, p2, 1042], [1091, p2, 1124), [1153, p2, 1242], (1328, p2, 1378], [1387, p2, 1460], (1539, p2, 1620], (1716, p2, 1755], (1760, p2, 1777), (1822, p2, 1916), (1977, p2, 2074)}
union(s1, s2): {(-oo, p1, 181), [181, p2, 252), (267, p1, 296], (296, p2, 338), (364, p1, 376), [376, p2, 469], [518, p2, 538], [559, p1, 617), (618, p2, 674], (674, p1, 756), (774, p2, 805), [805, p1, 854], (854, p2, 902), (920, p1, 973], (991, p2, 1013], (1013, p1, 1085), [1091, p2, 1109), [1109, p1, 1153), [1153, p2, 1242], (1295, p1, 1299], [1305, p1, 1328], (1328, p2, 1378], [1387, p2, 1460], (1478, p1, 1539], (1539, p2, 1580], (1580, p1, 1657), [1676, p1, 1716], (1716, p2, 1755], (1760, p2, 1777), (1822, p2, 1912], (1912, p1, 1933], (1977, p2, 2061], (2061, p1, 2103), (2134, p1, 2182), [2234, p1, 2238)}
------------------
s1:            {(22, p1, 93), (115, p1, 183), (222, p1, 261), [351, p1, 436], [527, p1, 541], (553, p1, 633], (711, p1, 780], (791, p1, 859], (892, p1, 983), (1082, p1, 1160], [1166, p1, 1184], [1219, p1, 1289], (1336, p1, 1354], [1393, p1, 1476], [1557, p1, 1646], (1713, p1, 1721), [1779, p1, 1875), (1893, p1, 1924], [2008, p1, 2033], (2109, p1, 2206]}
s2:            {[-71, p2, 26), [105, p2, 166), [201, p2, 281), [287, p2, 385), (420, p2, 436], (528, p2, 567], (614, p2, 664), (683, p2, 751), [765, p2, 819], [901, p2, 905], (950, p2, 1019], (1053, p2, 1129), (1217, p2, 1275], (1348, p2, 1366], (1461, p2, 1523), [1533, p2, 1579), (1633, p2, 1639), (1649, p2, 1701], (1719, p2, 1739], [1795, p2, 1855), [1861, p2, oo)}
union(s1, s2): {[-71, p2, 22], (22, p1, 93), [105, p2, 115], (115, p1, 183), [201, p2, 281), [287, p2, 351), [351, p1, 436], [527, p1, 528], (528, p2, 553], (553, p1, 614], (614, p2, 664), (683, p2, 711], (711, p1, 765), [765, p2, 791], (791, p1, 859], (892, p1, 950], (950, p2, 1019], (1053, p2, 1082], (1082, p1, 1160], [1166, p1, 1184], (1217, p2, 1219), [1219, p1, 1289], (1336, p1, 1348], (1348, p2, 1366], [1393, p1, 1461], (1461, p2, 1523), [1533, p2, 1557), [1557, p1, 1646], (1649, p2, 1701], (1713, p1, 1719], (1719, p2, 1739], [1779, p1, 1861), [1861, p2, oo)}
------------------
s1:            {[140, p1, 221), (231, p1, 288], [358, p1, 423], (508, p1, 547), (639, p1, 699), (752, p1, 828], [902, p1, 921], [979, p1, 1076), [1123, p1, 1154], [1186, p1, 1281), (1349, p1, 1403), (1422, p1, 1465], [1489, p1, 1544), [1558, p1, 1601), [1687, p1, 1729], (1805, p1, 1853], [1891, p1, 1948), (1971, p1, 2049), (2133, p1, 2165], (2169, p1, 2247]}
s2:            {(-oo, p2, 43), [54, p2, 124), [130, p2, 177), (222, p2, 312], (399, p2, 467), (472, p2, 540], (552, p2, 608), (660, p2, 673], [762, p2, 801], [865, p2, 893), (925, p2, 1018], (1051, p2, 1073), (1109, p2, 1148], (1221, p2, 1301], (1331, p2, 1418], [1463, p2, 1530], [1553, p2, 1580], (1666, p2, 1749], [1844, p2, 1915], (1943, p2, 1980], (2054, p2, 2146]}
union(s1, s2): {(-oo, p2, 43), [54, p2, 124), [130, p2, 140), [140, p1, 221), (222, p2, 312], [358, p1, 399], (399, p2, 467), (472, p2, 508], (508, p1, 547), (552, p2, 608), (639, p1, 699), (752, p1, 828], [865, p2, 893), [902, p1, 921], (925, p2, 979), [979, p1, 1076), (1109, p2, 1123), [1123, p1, 1154], [1186, p1, 1221], (1221, p2, 1301], (1331, p2, 1418], (1422, p1, 1463), [1463, p2, 1489), [1489, p1, 1544), [1553, p2, 1558), [1558, p1, 1601), (1666, p2, 1749], (1805, p1, 1844), [1844, p2, 1891), [1891, p1, 1943], (1943, p2, 1971], (1971, p1, 2049), (2054, p2, 2133], (2133, p1, 2165], (2169, p1, 2247]}
------------------
s1:            {[39, p1, 40), [102, p1, 142], [177, p1, 222], [267, p1, 331], (418, p1, 479), (521, p1, 535), (565, p1, 620), [696, p1, 784), [805, p1, 872), [915, p1, 1006], [1037, p1, 1109), [1140, p1, 1231], [1244, p1, 1288), [1303, p1, 1382], [1395, p1, 1447], [1487, p1, 1538), [1606, p1, 1624], (1692, p1, 1744), [1812, p1, 1846], (1869, p1, 1928], (2006, p1, oo)}
s2:            {(-oo, p2, 125], [154, p2, 170], (220, p2, 301), [339, p2, 395], (397, p2, 476), (530, p2, 561), [652, p2, 692], [707, p2, 708), (719, p2, 794), (796, p2, 855], (937, p2, 1012), (1033, p2, 1131], [1156, p2, 1216), (1294, p2, 1391], [1450, p2, 1531], (1587, p2, 1675], (1741, p2, 1752), [1760, p2, 1826], [1898, p2, 1957], (2018, p2, 2061]}
union(s1, s2): {(-oo, p2, 102), [102, p1, 142], [154, p2, 170], [177, p1, 220], (220, p2, 267), [267, p1, 331], [339, p2, 395], (397, p2, 418], (418, p1, 479), (521, p1, 530], (530, p2, 561), (565, p1, 620), [652, p2, 692], [696, p1, 719], (719, p2, 794), (796, p2, 805), [805, p1, 872), [915, p1, 937], (937, p2, 1012), (1033, p2, 1131], [1140, p1, 1231], [1244, p1, 1288), (1294, p2, 1391], [1395, p1, 1447], [1450, p2, 1487), [1487, p1, 1538), (1587, p2, 1675], (1692, p1, 1741], (1741, p2, 1752), [1760, p2, 1812), [1812, p1, 1846], (1869, p1, 1898), [1898, p2, 1957], (2006, p1, oo)}
------------------
s1:            {(-oo, p1, -112), (-53, p1, -45), (-30, p1, -22], (-4, p1, 82], (140, p1, 239), [261, p1, 302), [364, p1, 414], [462, p1, 466), [467, p1, 535), [562, p1, 614], [650, p1, 715), (758, p1, 826), (892, p1, 987), (1006, p1, 1066), [1113, p1, 1151], (1211, p1, 1214], (1287, p1, 1312], [1348, p1, 1404], [1455, p1, 1534], (1549, p1, 1571], [1572, p1, 1643]}
s2:            {(-oo, p2, 32), (44, p2, 101], (150, p2, 221), (263, p2, 264), (297, p2, 360), [367, p2, 436], (458, p2, 550], (557, p2, 631], (643, p2, 660), (732, p2, 809], (895, p2, 912), [1002, p2, 1076], [1174, p2, 1192], [1213, p2, 1253], [1303, p2, 1394), [1396, p2, 1467), [1544, p2, 1578], (1644, p2, 1696), [1790, p2, 1888], (1987, p2, 2048], [2089, p2, 2184), [2277, p2, oo)}
union(s1, s2): {(-oo, p2, -4], (-4, p1, 44], (44, p2, 101], (140, p1, 239), [261, p1, 297], (297, p2, 360), [364, p1, 367), [367, p2, 436], (458, p2, 550], (557, p2, 631], (643, p2, 650), [650, p1, 715), (732, p2, 758], (758, p1, 826), (892, p1, 987), [1002, p2, 1076], [1113, p1, 1151], [1174, p2, 1192], (1211, p1, 1213), [1213, p2, 1253], (1287, p1, 1303), [1303, p2, 1348), [1348, p1, 1396), [1396, p2, 1455), [1455, p1, 1534], [1544, p2, 1572), [1572, p1, 1643], (1644, p2, 1696), [1790, p2, 1888], (1987, p2, 2048], [2089, p2, 2184), [2277, p2, oo)}
------------------
s1:            {(44, p1, 84), [134, p1, 229], (266, p1, 332], (430, p1, 439), (495, p1, 519], (536, p1, 556), [574, p1, 602), [647, p1, 703), (750, p1, 822], (839, p1, 848), [941, p1, 981], [1047, p1, 1142], [1159, p1, 1167], (1236, p1, 1294), (1328, p1, 1374], [1397, p1, 1408), (1505, p1, 1587), [1675, p1, 1744], (1775, p1, 1864), [1953, p1, 2006]}
s2:            {[-92, p2, -74], (19, p2, 102], (108, p2, 169), [255, p2, 329], (400, p2, 484), [574, p2, 608), [663, p2, 723), [758, p2, 797], [856, p2, 918), (1003, p2, 1031], [1111, p2, 1198], [1251, p2, 1287), [1378, p2, 1457], (1495, p2, 1509), [1599, p2, 1652], (1675, p2, 1724], (1802, p2, 1825], (1867, p2, 1941), [2017, p2, 2080]}
union(s1, s2): {[-92, p2, -74], (19, p2, 102], (108, p2, 134), [134, p1, 229], [255, p2, 266], (266, p1, 332], (400, p2, 484), (495, p1, 519], (536, p1, 556), [574, p2, 608), [647, p1, 663), [663, p2, 723), (750, p1, 822], (839, p1, 848), [856, p2, 918), [941, p1, 981], (1003, p2, 1031], [1047, p1, 1111), [1111, p2, 1198], (1236, p1, 1294), (1328, p1, 1374], [1378, p2, 1457], (1495, p2, 1505], (1505, p1, 1587), [1599, p2, 1652], [1675, p1, 1744], (1775, p1, 1864), (1867, p2, 1941), [1953, p1, 2006], [2017, p2, 2080]}
------------------
s1:            {(-oo, p1, 145], (175, p1, 227], (272, p1, 341), (353, p1, 354), [393, p1, 431], (476, p1, 493], (548, p1, 646], (705, p1, 742), [801, p1, 898), [908, p1, 978], (1028, p1, 1113), (1163, p1, 1194], (1200, p1, 1231], (1328, p1, 1336], [1366, p1, 1396), (1483, p1, 1508), (1533, p1, 1538], [1570, p1, 1610], (1708, p1, 1740), [1817, p1, 1868), [1890, p1, 1965)}
s2:            {[-38, p2, -2], [-1, p2, 13), [107, p2, 111), [159, p2, 194), (246, p2, 306), (359, p2, 413), (444, p2, 542), (586, p2, 631], (658, p2, 743), (791, p2, 792), (880, p2, 940], [985, p2, 1032), (1084, p2, 1133), (1149, p2, 1221], (1275, p2, 1329], [1352, p2, 1418), (1507, p2, 1563), (1597, p2, 1659), [1736, p2, 1803], [1846, p2, 1932]}
union(s1, s2): {(-oo, p1, 145], [159, p2, 175], (175, p1, 227], (246, p2, 272], (272, p1, 341), (353, p1, 354), (359, p2, 393), [393, p1, 431], (444, p2, 542), (548, p1, 646], (658, p2, 743), (791, p2, 792), [801, p1, 880], (880, p2, 908), [908, p1, 978], [985, p2, 1028], (1028, p1, 1084], (1084, p2, 1133), (1149, p2, 1200], (1200, p1, 1231], (1275, p2, 1328], (1328, p1, 1336], [1352, p2, 1418), (1483, p1, 1507], (1507, p2, 1563), [1570, p1, 1597], (1597, p2, 1659), (1708, p1, 1736), [1736, p2, 1803], [1817, p1, 1846), [1846, p2, 1890), [1890, p1, 1965)}
------------------
s1:            {(-oo, p1, -42], [35, p1, 101), [153, p1, 206), (234, p1, 284], [361, p1, 457], [501, p1, 548], (620, p1, 680), [742, p1, 754], (788, p1, 866), (935, p1, 974), [995, p1, 1062], (1082, p1, 1171), (1217, p1, 1227], [1300, p1, 1362), (1391, p1, 1478), [1485, p1, 1495), [1589, p1, 1668), [1745, p1, 1754), [1762, p1, 1848), [1901, p1, 2045], (2095, p1, oo)}
s2:            {(258, p2, 294), [382, p2, 472], [529, p2, 534], (583, p2, 634], (694, p2, 698), [788, p2, 865), [960, p2, 961), (1060, p2, 1130], (1131, p2, 1159), (1252, p2, 1253], [1340, p2, 1404), (1494, p2, 1579), (1591, p2, 1603), [1619, p2, 1620], [1670, p2, 1711), (1737, p2, 1820], (1823, p2, 1840], [1841, p2, 1873], (1962, p2, 2000], [2096, p2, 2166)}
union(s1, s2): {(-oo, p1, -42], [35, p1, 101), [153, p1, 206), (234, p1, 258], (258, p2, 294), [361, p1, 382), [382, p2, 472], [501, p1, 548], (583, p2, 620], (620, p1, 680), (694, p2, 698), [742, p1, 754], [788, p2, 788], (788, p1, 866), (935, p1, 974), [995, p1, 1060], (1060, p2, 1082], (1082, p1, 1171), (1217, p1, 1227], (1252, p2, 1253], [1300, p1, 1340), [1340, p2, 1391], (1391, p1, 1478), [1485, p1, 1494], (1494, p2, 1579), [1589, p1, 1668), [1670, p2, 1711), (1737, p2, 1762), [1762, p1, 1841), [1841, p2, 1873], [1901, p1, 2045], (2095, p1, oo)}
------------------
s1:            {[-125, p1, -124), [-76, p1, -43), (43, p1, 81], (136, p1, 188], (284, p1, 333), [342, p1, 369], (442, p1, 534], [589, p1, 657), [702, p1, 783], [832, p1, 897), (970, p1, 1009], (1052, p1, 1055), (1152, p1, 1155), [1234, p1, 1280], (1379, p1, 1439), (1499, p1, 1510), [1548, p1, 1632], [1640, p1, 1717), [1785, p1, 1882], (1945, p1, 1961], (2050, p1, oo)}
s2:            {(-oo, p2, -31), [-15, p2, 57), (86, p2, 99), [107, p2, 188], [203, p2, 209], [229, p2, 299), (342, p2, 394), [468, p2, 557), [643, p2, 644), (716, p2, 769), (855, p2, 899), [917, p2, 970], (1013, p2, 1048), (1130, p2, 1166], (1188, p2, 1245], (1250, p2, 1321], (1387, p2, 1421], [1476, p2, 1502), (1592, p2, 1606), [1704, p2, 1731), (1820, p2, 1878)}
union(s1, s2): {(-oo, p2, -31), [-15, p2, 43], (43, p1, 81], (86, p2, 99), [107, p2, 188], [203, p2, 209], [229, p2, 284], (284, p1, 333), [342, p1, 342], (342, p2, 394), (442, p1, 468), [468, p2, 557), [589, p1, 657), [702, p1, 783], [832, p1, 855], (855, p2, 899), [917, p2, 970], (970, p1, 1009], (1013, p2, 1048), (1052, p1, 1055), (1130, p2, 1166], (1188, p2, 1234), [1234, p1, 1250], (1250, p2, 1321], (1379, p1, 1439), [1476, p2, 1499], (1499, p1, 1510), [1548, p1, 1632], [1640, p1, 1704), [1704, p2, 1731), [1785, p1, 1882], (1945, p1, 1961], (2050, p1, oo)}
------------------
s1:            {(-127, p1, -33), (-29, p1, 3), [94, p1, 190), (224, p1, 272], (278, p1, 280), (377, p1, 411), (413, p1, 461), (496, p1, 547], (616, p1, 661), [718, p1, 745], [762, p1, 845], (918, p1, 922], (970, p1, 1041], [1099, p1, 1151), (1181, p1, 1219], (1250, p1, 1348), [1358, p1, 1374], (1429, p1, 1430), (1504, p1, 1521), [1597, p1, 1645]}
s2:            {(69, p2, 72], [95, p2, 104], [191, p2, 237), [253, p2, 257], [281, p2, 307), (403, p2, 467], [566, p2, 627), (687, p2, 731], (772, p2, 814], (836, p2, 853], [878, p2, 914), (918, p2, 1003], (1017, p2, 1111), [1144, p2, 1185], (1265, p2, 1351), (1374, p2, 1380], (1455, p2, 1536), [1632, p2, 1648], [1728, p2, 1813], (1834, p2, 1908)}
union(s1, s2): {(-127, p1, -33), (-29, p1, 3), (69, p2, 72], [94, p1, 190), [191, p2, 224], (224, p1, 272], (278, p1, 280), [281, p2, 307), (377, p1, 403], (403, p2, 467], (496, p1, 547], [566, p2, 616], (616, p1, 661), (687, p2, 718), [718, p1, 745], [762, p1, 836], (836, p2, 853], [878, p2, 914), (918, p2, 970], (970, p1, 1017], (1017, p2, 1099), [1099, p1, 1144), [1144, p2, 1181], (1181, p1, 1219], (1250, p1, 1265], (1265, p2, 1351), [1358, p1, 1374], (1374, p2, 1380], (1429, p1, 1430), (1455, p2, 1536), [1597, p1, 1632), [1632, p2, 1648], [1728, p2, 1813], (1834, p2, 1908)}
------------------
s1:            {(-oo, p1, 59), [66, p1, 94], (163, p1, 261), [270, p1, 300], (330, p1, 427], [475, p1, 489), (538, p1, 583), (622, p1, 657), (679, p1, 746), (794, p1, 798], (826, p1, 898), (909, p1, 970], (998, p1, 1060], (1067, p1, 1139], (1151, p1, 1216], (1249, p1, 1274), (1299, p1, 1378], [1473, p1, 1491), [1541, p1, 1634], [1656, p1, 1708), (1787, p1, 1875], (1907, p1, oo)}
s2:            {(-oo, p2, 202), [238, p2, 288), [291, p2, 376), [384, p2, 566], [596, p2, 692], [789, p2, 875), (912, p2, 995), [1036, p2, 1104], [1107, p2, 1151), [1247, p2, 1334), [1335, p2, 1393), (1412, p2, 1423], [1487, p2, 1530], [1604, p2, 1659], (1674, p2, 1705], (1742, p2, 1834), (1908, p2, 1918], (1981, p2, 2030], (2037, p2, 2056], (2146, p2, 2160]}
union(s1, s2): {(-oo, p2, 163], (163, p1, 238), [238, p2, 270), [270, p1, 291), [291, p2, 330], (330, p1, 384), [384, p2, 538], (538, p1, 583), [596, p2, 679], (679, p1, 746), [789, p2, 826], (826, p1, 898), (909, p1, 912], (912, p2, 995), (998, p1, 1036), [1036, p2, 1067], (1067, p1, 1107), [1107, p2, 1151), (1151, p1, 1216], [1247, p2, 1299], (1299, p1, 1335), [1335, p2, 1393), (1412, p2, 1423], [1473, p1, 1487), [1487, p2, 1530], [1541, p1, 1604), [1604, p2, 1656), [1656, p1, 1708), (1742, p2, 1787], (1787, p1, 1875], (1907, p1, oo)}
------------------
s1:            {(-oo, p1, 227], (312, p1, 351], (381, p1, 393], [405, p1, 421], (480, p1, 572], [597, p1, 683], [761, p1, 839), (911, p1, 957), (1009, p1, 1055], [1067, p1, 1068), (1087, p1, 1114), [1152, p1, 1227], (1284, p1, 1317], (1414, p1, 1421], [1500, p1, 1509], [1574, p1, 1587], (1626, p1, 1658], [1694, p1, 1713], [1731, p1, 1780), [1832, p1, 1909], (1988, p1, 2010]}
s2:            {(-oo, p2, 211), (254, p2, 294], [317, p2, 401), (463, p2, 504), (526, p2, 588), (616, p2, 636], (713, p2, 755], (826, p2, 830), [853, p2, 884], (890, p2, 971], (979, p2, 1031), (1040, p2, 1075], [1080, p2, 1162), (1202, p2, 1271], [1282, p2, 1284], (1366, p2, 1456], [1503, p2, 1548), [1556, p2, 1643), (1669, p2, 1693], (1707, p2, 1733)}
union(s1, s2): {(-oo, p1, 227], (254, p2, 294], (312, p1, 317), [317, p2, 401), [405, p1, 421], (463, p2, 480], (480, p1, 526], (526, p2, 588), [597, p1, 683], (713, p2, 755], [761, p1, 839), [853, p2, 884], (890, p2, 971], (979, p2, 1009], (1009, p1, 1040], (1040, p2, 1075], [1080, p2, 1152), [1152, p1, 1202], (1202, p2, 1271], [1282, p2, 1284], (1284, p1, 1317], (1366, p2, 1456], [1500, p1, 1503), [1503, p2, 1548), [1556, p2, 1626], (1626, p1, 1658], (1669, p2, 1693], [1694, p1, 1707], (1707, p2, 1731), [1731, p1, 1780), [1832, p1, 1909], (1988, p1, 2010]}
------------------
s1:            {[-95, p1, -64], [-31, p1, 65), (119, p1, 197], [293, p1, 362), (430, p1, 444), (511, p1, 542], (594, p1, 669), [736, p1, 744], [757, p1, 804), [811, p1, 907], (967, p1, 1002), (1069, p1, 1099], [1187, p1, 1274], [1356, p1, 1440], (1457, p1, 1459], (1508, p1, 1555), (1593, p1, 1656), [1717, p1, 1753], (1796, p1, 1873), (1886, p1, 1922], [1989, p1, oo)}
s2:            {(-oo, p2, 249], [278, p2, 301), [356, p2, 440), (499, p2, 533], (611, p2, 710), [807, p2, 854], (937, p2, 1025), (1102, p2, 1168], (1180, p2, 1181], [1214, p2, 1241], [1288, p2, 1290), [1328, p2, 1333), (1408, p2, 1417], (1429, p2, 1473), (1546, p2, 1608], (1619, p2, 1620), [1652, p2, 1728], [1756, p2, 1812], [1858, p2, 1871], [1876, p2, 1931), [2008, p2, 2068], (2146, p2, oo)}
union(s1, s2): {(-oo, p2, 249], [278, p2, 293), [293, p1, 356), [356, p2, 430], (430, p1, 444), (499, p2, 511], (511, p1, 542], (594, p1, 611], (611, p2, 710), [736, p1, 744], [757, p1, 804), [807, p2, 811), [811, p1, 907], (937, p2, 1025), (1069, p1, 1099], (1102, p2, 1168], (1180, p2, 1181], [1187, p1, 1274], [1288, p2, 1290), [1328, p2, 1333), [1356, p1, 1429], (1429, p2, 1473), (1508, p1, 1546], (1546, p2, 1593], (1593, p1, 1652), [1652, p2, 1717), [1717, p1, 1753], [1756, p2, 1796], (1796, p1, 1873), [1876, p2, 1931), [1989, p1, oo)}
------------------
s1:            {(-oo, p1, 109), (151, p1, 177], [232, p1, 326], [357, p1, 382], [465, p1, 513), (574, p1, 619), (699, p1, 787], (855, p1, 903], [973, p1, 1044], (1106, p1, 1167), (1177, p1, 1258], (1356, p1, 1436], (1445, p1, 1463), [1526, p1, 1615), [1646, p1, 1651), (1662, p1, 1743], [1780, p1, 1816], [1825, p1, 1893), (1949, p1, 2018], (2037, p1, 2066), (2142, p1, 2185], (2231, p1, oo)}
s2:            {[-165, p2, -114), [-105, p2, -14), (45, p2, 69), [148, p2, 181), [280, p2, 377], (426, p2, 431], (470, p2, 471], (569, p2, 619), (669, p2, 739], [754, p2, 780], [838, p2, 894], [929, p2, 1015], [1053, p2, 1098], [1197, p2, 1220], [1306, p2, 1368], (1415, p2, 1463), (1478, p2, 1554], [1649, p2, 1734], (1742, p2, 1776], [1800, p2, 1806]}
union(s1, s2): {(-oo, p1, 109), [148, p2, 181), [232, p1, 280), [280, p2, 357), [357, p1, 382], (426, p2, 431], [465, p1, 513), (569, p2, 619), (669, p2, 699], (699, p1, 787], [838, p2, 855], (855, p1, 903], [929, p2, 973), [973, p1, 1044], [1053, p2, 1098], (1106, p1, 1167), (1177, p1, 1258], [1306, p2, 1356], (1356, p1, 1415], (1415, p2, 1463), (1478, p2, 1526), [1526, p1, 1615), [1646, p1, 1649), [1649, p2, 1662], (1662, p1, 1742], (1742, p2, 1776], [1780, p1, 1816], [1825, p1, 1893), (1949, p1, 2018], (2037, p1, 2066), (2142, p1, 2185], (2231, p1, oo)}
------------------
s1:            {(20, p1, 68), (115, p1, 140), (173, p1, 242], [258, p1, 279], (376, p1, 402), (456, p1, 470), [538, p1, 614], (674, p1, 693), (710, p1, 753], (769, p1, 792), (876, p1, 890], (943, p1, 1015], [1061, p1, 1152), (1218, p1, 1257], [1280, p1, 1281], (1317, p1, 1387], [1436, p1, 1476), (1523, p1, 1532], [1622, p1, 1674], [1763, p1, 1831]}
s2:            {[18, p2, 84), (89, p2, 158), [212, p2, 247), [283, p2, 283], (319, p2, 415), [428, p2, 494), (553, p2, 579], (666, p2, 674], (678, p2, 771), [816, p2, 873), (957, p2, 1007), [1074, p2, 1107), (1204, p2, 1246), [1249, p2, 1249], [1336, p2, 1353), (1373, p2, 1412), [1468, p2, 1505), [1552, p2, 1600), [1649, p2, 1650), [1715, p2, 1792)}
union(s1, s2): {[18, p2, 84), (89, p2, 158), (173, p1, 212), [212, p2, 247), [258, p1, 279], [283, p2, 283], (319, p2, 415), [428, p2, 494), [538, p1, 614], (666, p2, 674], (674, p1, 678], (678, p2, 769], (769, p1, 792), [816, p2, 873), (876, p1, 890], (943, p1, 1015], [1061, p1, 1152), (1204, p2, 1218], (1218, p1, 1257], [1280, p1, 1281], (1317, p1, 1373], (1373, p2, 1412), [1436, p1, 1468), [1468, p2, 1505), (1523, p1, 1532], [1552, p2, 1600), [1622, p1, 1674], [1715, p2, 1763), [1763, p1, 1831]}
------------------
s1:            {(-oo, p1, 154), [248, p1, 249), [330, p1, 408), (435, p1, 465], [511, p1, 582), (660, p1, 691), (754, p1, 777), (820, p1, 888], [919, p1, 971), (984, p1, 1035), (1087, p1, 1162], [1223, p1, 1256), [1310, p1, 1379), (1447, p1, 1480), (1557, p1, 1617), [1671, p1, 1681], (1689, p1, 1780), (1838, p1, 1909), [2002, p1, 2091], [2169, p1, 2266]}
s2:            {[-17, p2, 25), [37, p2, 136), [188, p2, 286], [335, p2, 396], [480, p2, 568], [661, p2, 708), [769, p2, 821), [853, p2, 930], [1001, p2, 1031), [1057, p2, 1063), (1096, p2, 1160), [1236, p2, 1236], [1270, p2, 1352), (1438, p2, 1515), [1580, p2, 1640), (1691, p2, 1736), [1758, p2, 1765], (1812, p2, 1846), (1932, p2, 2008], [2084, p2, 2110), (2185, p2, oo)}
union(s1, s2): {(-oo, p1, 154), [188, p2, 286], [330, p1, 408), (435, p1, 465], [480, p2, 511), [511, p1, 582), (660, p1, 661), [661, p2, 708), (754, p1, 769), [769, p2, 820], (820, p1, 853), [853, p2, 919), [919, p1, 971), (984, p1, 1035), [1057, p2, 1063), (1087, p1, 1162], [1223, p1, 1256), [1270, p2, 1310), [1310, p1, 1379), (1438, p2, 1515), (1557, p1, 1580), [1580, p2, 1640), [1671, p1, 1681], (1689, p1, 1780), (1812, p2, 1838], (1838, p1, 1909), (1932, p2, 2002), [2002, p1, 2084), [2084, p2, 2110), [2169, p1, 2185], (2185, p2, oo)}
------------------
s1:            {(-oo, p1, -55), [6, p1, 84], [163, p1, 171), [243, p1, 262), (339, p1, 408), [477, p1, 526], [543, p1, 586), (590, p1, 621), (670, p1, 729), (730, p1, 818], (868, p1, 911), (923, p1, 924), [1018, p1, 1088), [1176, p1, 1272), (1278, p1, 1338], (1399, p1, 1449), (1533, p1, 1568), (1571, p1, 1590), (1608, p1, 1651), [1719, p1, 1786], (1852, p1, 1939]}
s2:            {(-oo, p2, 104], (130, p2, 229), [317, p2, 357), [388, p2, 460], [558, p2, 600], [689, p2, 707], (804, p2, 892], (896, p2, 962], [1011, p2, 1060], (1154, p2, 1174], [1230, p2, 1305], (1336, p2, 1382), [1440, p2, 1442), (1519, p2, 1549], (1615, p2, 1661], [1721, p2, 1749), (1800, p2, 1877), (1885, p2, 1956], [2055, p2, 2093], [2123, p2, 2166], (2234, p2, 2269]}
union(s1, s2): {(-oo, p2, 104], (130, p2, 229), [243, p1, 262), [317, p2, 339], (339, p1, 388), [388, p2, 460], [477, p1, 526], [543, p1, 558), [558, p2, 590], (590, p1, 621), (670, p1, 729), (730, p1, 804], (804, p2, 868], (868, p1, 896], (896, p2, 962], [1011, p2, 1018), [1018, p1, 1088), (1154, p2, 1174], [1176, p1, 1230), [1230, p2, 1278], (1278, p1, 1336], (1336, p2, 1382), (1399, p1, 1449), (1519, p2, 1533], (1533, p1, 1568), (1571, p1, 1590), (1608, p1, 1615], (1615, p2, 1661], [1719, p1, 1786], (1800, p2, 1852], (1852, p1, 1885], (1885, p2, 1956], [2055, p2, 2093], [2123, p2, 2166], (2234, p2, 2269]}
------------------
s1:            {(-oo, p1, 207], (299, p1, 364], (411, p1, 429], [491, p1, 508], [572, p1, 653], [690, p1, 728), (762, p1, 769], (823, p1, 852], (867, p1, 937), [966, p1, 1045], [1124, p1, 1126], (1218, p1, 1231], [1247, p1, 1302), (1309, p1, 1379], [1467, p1, 1520), [1614, p1, 1624), [1647, p1, 1651], [1741, p1, 1800], [1847, p1, 1895], [1947, p1, 2042), [2096, p1, 2122)}
s2:            {[220, p2, 312], (320, p2, 372), (395, p2, 405], [450, p2, 544), [625, p2, 649), [699, p2, 713), [750, p2, 761), [793, p2, 846), (937, p2, 1033], (1117, p2, 1160], [1200, p2, 1247), [1339, p2, 1425], (1454, p2, 1471), (1487, p2, 1560), [1564, p2, 1623), [1712, p2, 1730), [1779, p2, 1811], (1836, p2, 1912), [2011, p2, 2022], [2099, p2, 2101)}
union(s1, s2): {(-oo, p1, 207], [220, p2, 299], (299, p1, 320], (320, p2, 372), (395, p2, 405], (411, p1, 429], [450, p2, 544), [572, p1, 653], [690, p1, 728), [750, p2, 761), (762, p1, 769], [793, p2, 823], (823, p1, 852], (867, p1, 937), (937, p2, 966), [966, p1, 1045], (1117, p2, 1160], [1200, p2, 1247), [1247, p1, 1302), (1309, p1, 1339), [1339, p2, 1425], (1454, p2, 1467), [1467, p1, 1487], (1487, p2, 1560), [1564, p2, 1614), [1614, p1, 1624), [1647, p1, 1651], [1712, p2, 1730), [1741, p1, 1779), [1779, p2, 1811], (1836, p2, 1912), [1947, p1, 2042), [2096, p1, 2122)}
------------------
s1:            {[-27, p1, 39), [48, p1, 89], [107, p1, 204), [282, p1, 370), (444, p1, 499], (537, p1, 605), [673, p1, 743), [748, p1, 768), (852, p1, 858), (908, p1, 1000], (1002, p1, 1094], [1176, p1, 1222), (1280, p1, 1374], [1441, p1, 1511), (1529, p1, 1566], (1636, p1, 1707), [1803, p1, 1813], [1850, p1, 1874), (1895, p1, 1973], [2071, p1, 2119]}
s2:            {[33, p2, 59], [76, p2, 84), (86, p2, 133), [227, p2, 251], (283, p2, 370], (444, p2, 523], (596, p2, 626), (646, p2, 695], [699, p2, 739], (764, p2, 776), [831, p2, 832), [876, p2, 906), (991, p2, 1049), (1061, p2, 1109), (1204, p2, 1271], (1331, p2, 1339), [1347, p2, 1422], (1500, p2, 1568], (1570, p2, 1576), (1613, p2, 1617), (1649, p2, oo)}
union(s1, s2): {[-27, p1, 33), [33, p2, 48), [48, p1, 86], (86, p2, 107), [107, p1, 204), [227, p2, 251], [282, p1, 283], (283, p2, 370], (444, p2, 523], (537, p1, 596], (596, p2, 626), (646, p2, 673), [673, p1, 743), [748, p1, 764], (764, p2, 776), [831, p2, 832), (852, p1, 858), [876, p2, 906), (908, p1, 991], (991, p2, 1002], (1002, p1, 1061], (1061, p2, 1109), [1176, p1, 1204], (1204, p2, 1271], (1280, p1, 1347), [1347, p2, 1422], [1441, p1, 1500], (1500, p2, 1568], (1570, p2, 1576), (1613, p2, 1617), (1636, p1, 1649], (1649, p2, oo)}
------------------
s1:            {(-oo, p1, -109), [-43, p1, 4], (15, p1, 26), [44, p1, 56), [141, p1, 211), [277, p1, 307), (344, p1, 428], (438, p1, 440), (484, p1, 583], [610, p1, 707], [743, p1, 831], [925, p1, 1004), (1007, p1, 1082), [1157, p1, 1244), [1335, p1, 1376], [1470, p1, 1496], (1568, p1, 1633), (1690, p1, 1766), [1823, p1, 1842), (1917, p1, 1918], [1977, p1, 2058)}
s2:            {(67, p2, 105), [149, p2, 204], [237, p2, 316], (379, p2, 421), [470, p2, 504], [589, p2, 607), (633, p2, 663], [710, p2, 752), (820, p2, 844], [922, p2, 984], (1074, p2, 1180], [1222, p2, 1227], (1229, p2, 1268), (1367, p2, 1399), (1428, p2, 1521], [1611, p2, 1619], [1704, p2, 1710], [1775, p2, 1831], [1908, p2, 1930)}
union(s1, s2): {(-oo, p1, -109), [-43, p1, 4], (15, p1, 26), [44, p1, 56), (67, p2, 105), [141, p1, 211), [237, p2, 316], (344, p1, 428], (438, p1, 440), [470, p2, 484], (484, p1, 583], [589, p2, 607), [610, p1, 707], [710, p2, 743), [743, p1, 820], (820, p2, 844], [922, p2, 925), [925, p1, 1004), (1007, p1, 1074], (1074, p2, 1157), [1157, p1, 1229], (1229, p2, 1268), [1335, p1, 1367], (1367, p2, 1399), (1428, p2, 1521], (1568, p1, 1633), (1690, p1, 1766), [1775, p2, 1823), [1823, p1, 1842), [1908, p2, 1930), [1977, p1, 2058)}
------------------
s1:            {(-oo, p1, 144), (185, p1, 253), (341, p1, 431], [435, p1, 499], (583, p1, 584], [592, p1, 622], [665, p1, 697), (778, p1, 841], [844, p1, 852], (873, p1, 960], [990, p1, 1071], [1165, p1, 1168], (1192, p1, 1214], [1222, p1, 1292), [1328, p1, 1380], [1472, p1, 1561], [1631, p1, 1678], (1744, p1, 1818], [1914, p1, 1985], (1997, p1, 2057), [2063, p1, 2128)}
s2:            {(21, p2, 100), [142, p2, 237), (304, p2, 351], (374, p2, 459), [556, p2, 655), (715, p2, 777), (844, p2, 923), (1019, p2, 1034], (1068, p2, 1125], [1186, p2, 1211], (1294, p2, 1330], (1359, p2, 1372), (1427, p2, 1485), (1541, p2, 1612), (1676, p2, 1681], (1780, p2, 1807], [1817, p2, 1907), (1987, p2, 1990), (2020, p2, 2037), (2096, p2, 2139)}
union(s1, s2): {(-oo, p1, 142), [142, p2, 185], (185, p1, 253), (304, p2, 341], (341, p1, 374], (374, p2, 435), [435, p1, 499], [556, p2, 655), [665, p1, 697), (715, p2, 777), (778, p1, 841], [844, p1, 844], (844, p2, 873], (873, p1, 960], [990, p1, 1068], (1068, p2, 1125], [1165, p1, 1168], [1186, p2, 1192], (1192, p1, 1214], [1222, p1, 1292), (1294, p2, 1328), [1328, p1, 1380], (1427, p2, 1472), [1472, p1, 1541], (1541, p2, 1612), [1631, p1, 1676], (1676, p2, 1681], (1744, p1, 1817), [1817, p2, 1907), [1914, p1, 1985], (1987, p2, 1990), (1997, p1, 2057), [2063, p1, 2096], (2096, p2, 2139)}
------------------
s1:            {[49, p1, 143], (239, p1, 319), [326, p1, 328), [353, p1, 381), (381, p1, 426], [477, p1, 487), (499, p1, 517], (592, p1, 617), [651, p1, 743], (825, p1, 906], (968, p1, 1063), [1162, p1, 1246], [1327, p1, 1336], (1356, p1, 1401], [1454, p1, 1532), (1549, p1, 1577), [1642, p1, 1646), (1702, p1, 1747], [1794, p1, 1862), [1938, p1, 1963)}
s2:            {(171, p2, 256], [286, p2, 380), (457, p2, 526], [565, p2, 597), [610, p2, 629), (665, p2, 669], (709, p2, 791), [809, p2, 813), [851, p2, 949], (950, p2, 1047), [1086, p2, 1122), [1186, p2, 1207], [1222, p2, 1235], [1267, p2, 1346], [1376, p2, 1443], [1515, p2, 1605], (1619, p2, 1718], (1728, p2, 1750), (1822, p2, 1826), (1839, p2, 1893)}
union(s1, s2): {[49, p1, 143], (171, p2, 239], (239, p1, 286), [286, p2, 353), [353, p1, 381), (381, p1, 426], (457, p2, 526], [565, p2, 592], (592, p1, 610), [610, p2, 629), [651, p1, 709], (709, p2, 791), [809, p2, 813), (825, p1, 851), [851, p2, 949], (950, p2, 968], (968, p1, 1063), [1086, p2, 1122), [1162, p1, 1246], [1267, p2, 1346], (1356, p1, 1376), [1376, p2, 1443], [1454, p1, 1515), [1515, p2, 1605], (1619, p2, 1702], (1702, p1, 1728], (1728, p2, 1750), [1794, p1, 1839], (1839, p2, 1893), [1938, p1, 1963)}
------------------
s1:            {(-oo, p1, 142], [153, p1, 218), [239, p1, 295], [338, p1, 386], (391, p1, 439), [462, p1, 495], (570, p1, 587], [673, p1, 714], [739, p1, 771], (778, p1, 779), (869, p1, 898), [981, p1, 1031], (1081, p1, 1084), (1177, p1, 1246], [1314, p1, 1379], [1411, p1, 1463], (1511, p1, 1574], [1615, p1, 1701), [1734, p1, 1829], (1855, p1, 1878], (1898, p1, 1987), (1997, p1, oo)}
s2:            {[139, p2, 221), [246, p2, 314), (344, p2, 399), (432, p2, 447], (470, p2, 557], (563, p2, 646], [681, p2, 725], (808, p2, 886], [950, p2, 1040], [1041, p2, 1114], [1131, p2, 1182), [1233, p2, 1328), (1329, p2, 1334), (1347, p2, 1376], (1461, p2, 1513), (1567, p2, 1599), (1653, p2, 1674], [1765, p2, 1790], (1889, p2, 1916], (1975, p2, 2071]}
union(s1, s2): {(-oo, p1, 139), [139, p2, 221), [239, p1, 246), [246, p2, 314), [338, p1, 344], (344, p2, 391], (391, p1, 432], (432, p2, 447], [462, p1, 470], (470, p2, 557], (563, p2, 646], [673, p1, 681), [681, p2, 725], [739, p1, 771], (778, p1, 779), (808, p2, 869], (869, p1, 898), [950, p2, 1040], [1041, p2, 1114], [1131, p2, 1177], (1177, p1, 1233), [1233, p2, 1314), [1314, p1, 1379], [1411, p1, 1461], (1461, p2, 1511], (1511, p1, 1567], (1567, p2, 1599), [1615, p1, 1701), [1734, p1, 1829], (1855, p1, 1878], (1889, p2, 1898], (1898, p1, 1975], (1975, p2, 1997], (1997, p1, oo)}
------------------
s1:            {(36, p1, 122), [202, p1, 276), [320, p1, 409], (432, p1, 497], [551, p1, 628], (702, p1, 704), [738, p1, 746), [782, p1, 801), (811, p1, 853], (951, p1, 1039], (1071, p1, 1096), (1166, p1, 1201], (1229, p1, 1306], (1391, p1, 1463], [1473, p1, 1494], [1507, p1, 1574], (1655, p1, 1656], (1716, p1, 1781], (1785, p1, 1791), (1866, p1, 1952]}
s2:            {(50, p2, 94), [184, p2, 254], (301, p2, 313), (399, p2, 409), (488, p2, 498), [510, p2, 556), (613, p2, 711], [758, p2, 767], (859, p2, 878], (890, p2, 905], [964, p2, 1001], [1036, p2, 1079], [1163, p2, 1170), [1226, p2, 1231], [1238, p2, 1285), (1312, p2, 1316], (1353, p2, 1414), (1415, p2, 1456), (1522, p2, 1526], (1615, p2, 1638)}
union(s1, s2): {(36, p1, 122), [184, p2, 202), [202, p1, 276), (301, p2, 313), [320, p1, 409], (432, p1, 488], (488, p2, 498), [510, p2, 551), [551, p1, 613], (613, p2, 711], [738, p1, 746), [758, p2, 767], [782, p1, 801), (811, p1, 853], (859, p2, 878], (890, p2, 905], (951, p1, 1036), [1036, p2, 1071], (1071, p1, 1096), [1163, p2, 1166], (1166, p1, 1201], [1226, p2, 1229], (1229, p1, 1306], (1312, p2, 1316], (1353, p2, 1391], (1391, p1, 1463], [1473, p1, 1494], [1507, p1, 1574], (1615, p2, 1638), (1655, p1, 1656], (1716, p1, 1781], (1785, p1, 1791), (1866, p1, 1952]}
------------------
s1:            {(-oo, p1, -45], (48, p1, 137], (187, p1, 215), [222, p1, 253], (257, p1, 349), [361, p1, 428], [474, p1, 557], (582, p1, 594], [661, p1, 745), (802, p1, 811), (822, p1, 856], (944, p1, 978), (1009, p1, 1018], [1043, p1, 1087], (1164, p1, 1171], (1262, p1, 1271), [1296, p1, 1388), [1431, p1, 1452], [1543, p1, 1546), (1570, p1, 1657), [1696, p1, 1746]}
s2:            {(-oo, p2, -6), [52, p2, 93), (114, p2, 168), (216, p2, 229), (316, p2, 352), (393, p2, 408), (471, p2, 530), [597, p2, 638], (671, p2, 705), (791, p2, 888), (911, p2, 986), (1082, p2, 1180), [1214, p2, 1283), (1328, p2, 1379), [1449, p2, 1464], [1528, p2, 1563), (1600, p2, 1679], [1743, p2, 1794], (1818, p2, 1917), (1917, p2, 1976], (2037, p2, 2101], (2155, p2, oo)}
union(s1, s2): {(-oo, p2, -6), (48, p1, 114], (114, p2, 168), (187, p1, 215), (216, p2, 222), [222, p1, 253], (257, p1, 316], (316, p2, 352), [361, p1, 428], (471, p2, 474), [474, p1, 557], (582, p1, 594], [597, p2, 638], [661, p1, 745), (791, p2, 888), (911, p2, 986), (1009, p1, 1018], [1043, p1, 1082], (1082, p2, 1180), [1214, p2, 1283), [1296, p1, 1388), [1431, p1, 1449), [1449, p2, 1464], [1528, p2, 1563), (1570, p1, 1600], (1600, p2, 1679], [1696, p1, 1743), [1743, p2, 1794], (1818, p2, 1917), (1917, p2, 1976], (2037, p2, 2101], (2155, p2, oo)}
------------------
s1:            {(-74, p1, 14], [39, p1, 117), [122, p1, 157), [209, p1, 242], (253, p1, 315], (352, p1, 365], [437, p1, 506], [585, p1, 640), (649, p1, 686], (722, p1, 821], (863, p1, 940], [1000, p1, 1088], [1139, p1, 1149], [1225, p1, 1269), (1271, p1, 1309), (1396, p1, 1486], [1581, p1, 1605], [1641, p1, 1691), (1766, p1, 1812], [1850, p1, 1919], [1925, p1, oo)}
s2:            {[88, p2, 133), (176, p2, 246], (263, p2, 270], [295, p2, 357], [421, p2, 462), (529, p2, 531], (544, p2, 554], [634, p2, 724), (809, p2, 835], [837, p2, 861), [930, p2, 943], [1021, p2, 1043], [1062, p2, 1128], [1152, p2, 1202), [1244, p2, 1321), (1405, p2, 1477], [1564, p2, 1617], (1650, p2, 1726), (1747, p2, 1841), [1894, p2, 1936]}
union(s1, s2): {(-74, p1, 14], [39, p1, 88), [88, p2, 122), [122, p1, 157), (176, p2, 246], (253, p1, 295), [295, p2, 352], (352, p1, 365], [421, p2, 437), [437, p1, 506], (529, p2, 531], (544, p2, 554], [585, p1, 634), [634, p2, 722], (722, p1, 809], (809, p2, 835], [837, p2, 861), (863, p1, 930), [930, p2, 943], [1000, p1, 1062), [1062, p2, 1128], [1139, p1, 1149], [1152, p2, 1202), [1225, p1, 1244), [1244, p2, 1321), (1396, p1, 1486], [1564, p2, 1617], [1641, p1, 1650], (1650, p2, 1726), (1747, p2, 1841), [1850, p1, 1894), [1894, p2, 1925), [1925, p1, oo)}
------------------
s1:            {[57, p1, 148), (168, p1, 223], [273, p1, 305), (396, p1, 397], (470, p1, 545], (609, p1, 666], [695, p1, 741), [770, p1, 836], [869, p1, 947], [955, p1, 1047), (1130, p1, 1196], [1201, p1, 1267), (1362, p1, 1431], [1460, p1, 1537), [1614, p1, 1657), [1696, p1, 1737], [1824, p1, 1844], (1879, p1, 1921), (2013, p1, 2039], (2089, p1, 2128)}
s2:            {(-oo, p2, -86), [-28, p2, -25], [41, p2, 130), (184, p2, 280), (294, p2, 379], [415, p2, 476], [518, p2, 549], [564, p2, 573], (635, p2, 731), (750, p2, 842), (868, p2, 889), (935, p2, 973), (987, p2, 1083], (1101, p2, 1199], [1243, p2, 1269), (1305, p2, 1350], (1395, p2, 1397), [1494, p2, 1530], [1598, p2, 1695), [1790, p2, 1807), (1850, p2, 1870]}
union(s1, s2): {(-oo, p2, -86), [-28, p2, -25], [41, p2, 57), [57, p1, 148), (168, p1, 184], (184, p2, 273), [273, p1, 294], (294, p2, 379], (396, p1, 397], [415, p2, 470], (470, p1, 518), [518, p2, 549], [564, p2, 573], (609, p1, 635], (635, p2, 695), [695, p1, 741), (750, p2, 842), (868, p2, 869), [869, p1, 935], (935, p2, 955), [955, p1, 987], (987, p2, 1083], (1101, p2, 1199], [1201, p1, 1243), [1243, p2, 1269), (1305, p2, 1350], (1362, p1, 1431], [1460, p1, 1537), [1598, p2, 1695), [1696, p1, 1737], [1790, p2, 1807), [1824, p1, 1844], (1850, p2, 1870], (1879, p1, 1921), (2013, p1, 2039], (2089, p1, 2128)}
------------------
s1:            {(-oo, p1, 256], [301, p1, 353), [442, p1, 524), [614, p1, 618), (682, p1, 738], [767, p1, 838], (852, p1, 879), (917, p1, 922], (949, p1, 980), [1008, p1, 1050), [1093, p1, 1188), [1236, p1, 1296), (1326, p1, 1354], [1407, p1, 1477), [1484, p1, 1569], (1619, p1, 1682], [1716, p1, 1809], (1840, p1, 1895], (1993, p1, 2018], [2071, p1, 2096], (2191, p1, 2245), [2297, p1, oo)}
s2:            {[38, p2, 98], (184, p2, 219), [253, p2, 310), (378, p2, 395), (411, p2, 413], [437, p2, 438), [461, p2, 492], [514, p2, 527], (599, p2, 632], (676, p2, 691], [732, p2, 788], [829, p2, 832], (911, p2, 991), (996, p2, 1018], [1113, p2, 1169], [1233, p2, 1249], [1274, p2, 1369), (1460, p2, 1535], [1547, p2, 1616], (1706, p2, 1715]}
union(s1, s2): {(-oo, p1, 253), [253, p2, 301), [301, p1, 353), (378, p2, 395), (411, p2, 413], [437, p2, 438), [442, p1, 514), [514, p2, 527], (599, p2, 632], (676, p2, 682], (682, p1, 732), [732, p2, 767), [767, p1, 838], (852, p1, 879), (911, p2, 991), (996, p2, 1008), [1008, p1, 1050), [1093, p1, 1188), [1233, p2, 1236), [1236, p1, 1274), [1274, p2, 1369), [1407, p1, 1460], (1460, p2, 1484), [1484, p1, 1547), [1547, p2, 1616], (1619, p1, 1682], (1706, p2, 1715], [1716, p1, 1809], (1840, p1, 1895], (1993, p1, 2018], [2071, p1, 2096], (2191, p1, 2245), [2297, p1, oo)}
------------------
s1:            {(-oo, p1, 94), (176, p1, 196], [248, p1, 321], [405, p1, 455], (493, p1, 506], (555, p1, 578], (644, p1, 726), (818, p1, 830], [875, p1, 973], (1061, p1, 1132], (1148, p1, 1171], (1195, p1, 1243], [1318, p1, 1386), (1427, p1, 1478], [1549, p1, 1631], (1679, p1, 1771), [1867, p1, 1891), (1908, p1, 1983], (2051, p1, 2114), [2171, p1, 2172], [2250, p1, 2333]}
s2:            {(260, p2, 291], [314, p2, 330), [351, p2, 412), (500, p2, 521), [587, p2, 638], [719, p2, 725), [770, p2, 844), (873, p2, 963), [1036, p2, 1123), [1198, p2, 1270), (1283, p2, 1330], (1336, p2, 1395], [1475, p2, 1572], (1670, p2, 1706), (1800, p2, 1852], [1925, p2, 2024], [2065, p2, 2099), (2102, p2, 2140], (2157, p2, 2243), [2333, p2, 2396], [2463, p2, oo)}
union(s1, s2): {(-oo, p1, 94), (176, p1, 196], [248, p1, 314), [314, p2, 330), [351, p2, 405), [405, p1, 455], (493, p1, 500], (500, p2, 521), (555, p1, 578], [587, p2, 638], (644, p1, 726), [770, p2, 844), (873, p2, 875), [875, p1, 973], [1036, p2, 1061], (1061, p1, 1132], (1148, p1, 1171], (1195, p1, 1198), [1198, p2, 1270), (1283, p2, 1318), [1318, p1, 1336], (1336, p2, 1395], (1427, p1, 1475), [1475, p2, 1549), [1549, p1, 1631], (1670, p2, 1679], (1679, p1, 1771), (1800, p2, 1852], [1867, p1, 1891), (1908, p1, 1925), [1925, p2, 2024], (2051, p1, 2102], (2102, p2, 2140], (2157, p2, 2243), [2250, p1, 2333), [2333, p2, 2396], [2463, p2, oo)}
------------------
s1:            {(-oo, p1, 90], [129, p1, 160), [226, p1, 245], [263, p1, 332], [338, p1, 344), [388, p1, 458], (507, p1, 531), [593, p1, 650], [662, p1, 665], (744, p1, 754), [801, p1, 896), (927, p1, 998), (1075, p1, 1113], (1138, p1, 1146], (1208, p1, 1220), [1318, p1, 1369], [1434, p1, 1497], (1513, p1, 1566], [1572, p1, 1584), (1612, p1, 1643), (1668, p1, 1705]}
s2:            {[-112, p2, -23), (54, p2, 147], [150, p2, 196], [223, p2, 273), [301, p2, 396], [485, p2, 504), (514, p2, 575), (641, p2, 685), (759, p2, 817], (821, p2, 848), [936, p2, 963), (998, p2, 1043), (1109, p2, 1123), (1208, p2, 1226], [1314, p2, 1391), [1435, p2, 1447], [1450, p2, 1527), [1617, p2, 1661), [1700, p2, 1724], (1818, p2, 1852], [1935, p2, oo)}
union(s1, s2): {(-oo, p1, 54], (54, p2, 129), [129, p1, 150), [150, p2, 196], [223, p2, 263), [263, p1, 301), [301, p2, 388), [388, p1, 458], [485, p2, 504), (507, p1, 514], (514, p2, 575), [593, p1, 641], (641, p2, 685), (744, p1, 754), (759, p2, 801), [801, p1, 896), (927, p1, 998), (998, p2, 1043), (1075, p1, 1109], (1109, p2, 1123), (1138, p1, 1146], (1208, p2, 1226], [1314, p2, 1391), [1434, p1, 1450), [1450, p2, 1513], (1513, p1, 1566], [1572, p1, 1584), (1612, p1, 1617), [1617, p2, 1661), (1668, p1, 1700), [1700, p2, 1724], (1818, p2, 1852], [1935, p2, oo)}
------------------
s1:            {(218, p1, 269], (350, p1, 443], (481, p1, 553], (559, p1, 591], [644, p1, 713], [782, p1, 869], (880, p1, 963], (997, p1, 1061), (1065, p1, 1104), [1137, p1, 1153), [1222, p1, 1264), [1317, p1, 1386), (1446, p1, 1519), [1533, p1, 1563), (1604, p1, 1658], [1742, p1, 1761), (1805, p1, 1835], [1840, p1, 1906), [1923, p1, 1944), (1983, p1, 2078], [2083, p1, oo)}
s2:            {(175, p2, 253], (343, p2, 345], [392, p2, 444], [471, p2, 568], (636, p2, 733), (733, p2, 781), [869, p2, 968), (1067, p2, 1142), (1146, p2, 1228], (1296, p2, 1343], (1440, p2, 1538], (1578, p2, 1622], (1720, p2, 1744), [1757, p2, 1832), [1874, p2, 1925], (2016, p2, 2082], (2147, p2, 2213), [2222, p2, 2293), [2336, p2, 2423]}
union(s1, s2): {(175, p2, 218], (218, p1, 269], (343, p2, 345], (350, p1, 392), [392, p2, 444], [471, p2, 559], (559, p1, 591], (636, p2, 733), (733, p2, 781), [782, p1, 869), [869, p2, 968), (997, p1, 1061), (1065, p1, 1067], (1067, p2, 1137), [1137, p1, 1146], (1146, p2, 1222), [1222, p1, 1264), (1296, p2, 1317), [1317, p1, 1386), (1440, p2, 1533), [1533, p1, 1563), (1578, p2, 1604], (1604, p1, 1658], (1720, p2, 1742), [1742, p1, 1757), [1757, p2, 1805], (1805, p1, 1835], [1840, p1, 1874), [1874, p2, 1923), [1923, p1, 1944), (1983, p1, 2016], (2016, p2, 2082], [2083, p1, oo)}
------------------
s1:            {(-oo, p1, 170), [218, p1, 265), (299, p1, 358], [409, p1, 463), [513, p1, 528), (627, p1, 650], [672, p1, 736], (745, p1, 766], [841, p1, 916), [967, p1, 1018], [1112, p1, 1192), (1208, p1, 1293), [1320, p1, 1322), [1331, p1, 1370], (1377, p1, 1459), (1478, p1, 1501], (1589, p1, 1641], (1735, p1, 1749], (1832, p1, 1869], [1941, p1, 1967), (2032, p1, 2103)}
s2:            {(-53, p2, -26), [-4, p2, 76], (104, p2, 177], (240, p2, 284), (348, p2, 352], [411, p2, 491], [575, p2, 646), (715, p2, 757], [765, p2, 851], [911, p2, 928], [957, p2, 1047), [1090, p2, 1113), [1124, p2, 1223], (1229, p2, 1253), [1315, p2, 1377), (1408, p2, 1484), [1517, p2, 1548), [1606, p2, 1679), [1689, p2, 1733), (1830, p2, 1845)}
union(s1, s2): {(-oo, p1, 104], (104, p2, 177], [218, p1, 240], (240, p2, 284), (299, p1, 358], [409, p1, 411), [411, p2, 491], [513, p1, 528), [575, p2, 627], (627, p1, 650], [672, p1, 715], (715, p2, 745], (745, p1, 765), [765, p2, 841), [841, p1, 911), [911, p2, 928], [957, p2, 1047), [1090, p2, 1112), [1112, p1, 1124), [1124, p2, 1208], (1208, p1, 1293), [1315, p2, 1377), (1377, p1, 1408], (1408, p2, 1478], (1478, p1, 1501], [1517, p2, 1548), (1589, p1, 1606), [1606, p2, 1679), [1689, p2, 1733), (1735, p1, 1749], (1830, p2, 1832], (1832, p1, 1869], [1941, p1, 1967), (2032, p1, 2103)}
------------------
s1:            {[232, p1, 312], (390, p1, 406], [464, p1, 494), [562, p1, 594), [603, p1, 645], [657, p1, 778], [850, p1, 897], (955, p1, 1032), (1100, p1, 1121], [1128, p1, 1165), (1203, p1, 1219), [1271, p1, 1284], (1313, p1, 1368), [1430, p1, 1520), [1521, p1, 1613), (1672, p1, 1673], (1730, p1, 1805), (1898, p1, 1923], (1929, p1, 1944], (1951, p1, oo)}
s2:            {[25, p2, 43), [52, p2, 118), [128, p2, 220], (238, p2, 256], [280, p2, 335], (370, p2, 453), [532, p2, 546), [641, p2, 740], [803, p2, 854), [944, p2, 1041), (1071, p2, 1123), (1130, p2, 1173], [1178, p2, 1227], [1240, p2, 1274), (1319, p2, 1355], [1410, p2, 1431], (1470, p2, 1510), (1537, p2, 1574), [1607, p2, 1702), (1777, p2, 1789], (1860, p2, oo)}
union(s1, s2): {[25, p2, 43), [52, p2, 118), [128, p2, 220], [232, p1, 280), [280, p2, 335], (370, p2, 453), [464, p1, 494), [532, p2, 546), [562, p1, 594), [603, p1, 641), [641, p2, 657), [657, p1, 778], [803, p2, 850), [850, p1, 897], [944, p2, 1041), (1071, p2, 1123), [1128, p1, 1130], (1130, p2, 1173], [1178, p2, 1227], [1240, p2, 1271), [1271, p1, 1284], (1313, p1, 1368), [1410, p2, 1430), [1430, p1, 1520), [1521, p1, 1607), [1607, p2, 1702), (1730, p1, 1805), (1860, p2, oo)}
------------------
s1:            {[240, p1, 303], (344, p1, 392], (403, p1, 453), [550, p1, 648), (663, p1, 664), (744, p1, 783), [860, p1, 911), (965, p1, 980], [1015, p1, 1031], (1123, p1, 1136), [1184, p1, 1281), [1324, p1, 1338], (1349, p1, 1410), (1453, p1, 1496], [1577, p1, 1578], (1652, p1, 1659], [1746, p1, 1831], [1861, p1, 1903), (1940, p1, 2008], (2082, p1, 2155)}
s2:            {[115, p2, 140], (212, p2, 269], (320, p2, 362), [443, p2, 462), (466, p2, 528], [533, p2, 606), (654, p2, 707), [784, p2, 790], (821, p2, 863), [918, p2, 978], [1029, p2, 1075), (1126, p2, 1136), (1215, p2, 1260), (1346, p2, 1387], [1454, p2, 1547], [1581, p2, 1604], [1694, p2, 1743), [1760, p2, 1767], (1778, p2, 1829), [1923, p2, 1981), (2051, p2, oo)}
union(s1, s2): {[115, p2, 140], (212, p2, 240), [240, p1, 303], (320, p2, 344], (344, p1, 392], (403, p1, 443), [443, p2, 462), (466, p2, 528], [533, p2, 550), [550, p1, 648), (654, p2, 707), (744, p1, 783), [784, p2, 790], (821, p2, 860), [860, p1, 911), [918, p2, 965], (965, p1, 980], [1015, p1, 1029), [1029, p2, 1075), (1123, p1, 1136), [1184, p1, 1281), [1324, p1, 1338], (1346, p2, 1349], (1349, p1, 1410), (1453, p1, 1454), [1454, p2, 1547], [1577, p1, 1578], [1581, p2, 1604], (1652, p1, 1659], [1694, p2, 1743), [1746, p1, 1831], [1861, p1, 1903), [1923, p2, 1940], (1940, p1, 2008], (2051, p2, oo)}
------------------
s1:            {(225, p1, 257), [298, p1, 308], (368, p1, 447], (458, p1, 500], (501, p1, 532), (625, p1, 661], [748, p1, 781], [851, p1, 877), [917, p1, 930), (984, p1, 1054), [1142, p1, 1201), (1264, p1, 1348], (1387, p1, 1478), (1557, p1, 1653), (1731, p1, 1821), [1910, p1, 1923), [1950, p1, 1981], (2077, p1, 2169), [2197, p1, 2204), (2290, p1, 2328]}
s2:            {(-oo, p2, 178), [208, p2, 230], (237, p2, 311), (383, p2, 451], [486, p2, 500), (593, p2, 656], (751, p2, 817], (893, p2, 911], (972, p2, 1059], [1145, p2, 1202], (1221, p2, 1284), (1379, p2, 1434], [1466, p2, 1482), (1541, p2, 1621], [1714, p2, 1745], (1824, p2, 1839), [1892, p2, 1918], (2015, p2, 2108], (2138, p2, 2144), (2195, p2, 2279), [2337, p2, 2390]}
union(s1, s2): {(-oo, p2, 178), [208, p2, 225], (225, p1, 237], (237, p2, 311), (368, p1, 383], (383, p2, 451], (458, p1, 500], (501, p1, 532), (593, p2, 625], (625, p1, 661], [748, p1, 751], (751, p2, 817], [851, p1, 877), (893, p2, 911], [917, p1, 930), (972, p2, 1059], [1142, p1, 1145), [1145, p2, 1202], (1221, p2, 1264], (1264, p1, 1348], (1379, p2, 1387], (1387, p1, 1466), [1466, p2, 1482), (1541, p2, 1557], (1557, p1, 1653), [1714, p2, 1731], (1731, p1, 1821), (1824, p2, 1839), [1892, p2, 1910), [1910, p1, 1923), [1950, p1, 1981], (2015, p2, 2077], (2077, p1, 2169), (2195, p2, 2279), (2290, p1, 2328], [2337, p2, 2390]}
------------------
s1:            {(-119, p1, -52], [-26, p1, 44], (118, p1, 125], (162, p1, 164), [210, p1, 243), [284, p1, 339], [340, p1, 354), (429, p1, 505], (580, p1, 588), (607, p1, 628], [630, p1, 669), (727, p1, 781), (810, p1, 829), (877, p1, 976], [1002, p1, 1025), [1028, p1, 1126], [1182, p1, 1219), (1233, p1, 1245], (1294, p1, 1345), [1417, p1, 1433)}
s2:            {(-oo, p2, 34), (90, p2, 105), [146, p2, 180), (241, p2, 273), [310, p2, 312], (316, p2, 413), (494, p2, 498), (594, p2, 633), [705, p2, 727], (764, p2, 824], (908, p2, 988), (1036, p2, 1065), [1149, p2, 1159], (1227, p2, 1284], (1308, p2, 1323], [1369, p2, 1445], (1473, p2, 1568), (1574, p2, 1623], [1652, p2, 1690), (1738, p2, 1739), (1789, p2, 1880]}
union(s1, s2): {(-oo, p2, -26), [-26, p1, 44], (90, p2, 105), (118, p1, 125], [146, p2, 180), [210, p1, 241], (241, p2, 273), [284, p1, 316], (316, p2, 413), (429, p1, 505], (580, p1, 588), (594, p2, 630), [630, p1, 669), [705, p2, 727], (727, p1, 764], (764, p2, 810], (810, p1, 829), (877, p1, 908], (908, p2, 988), [1002, p1, 1025), [1028, p1, 1126], [1149, p2, 1159], [1182, p1, 1219), (1227, p2, 1284], (1294, p1, 1345), [1369, p2, 1445], (1473, p2, 1568), (1574, p2, 1623], [1652, p2, 1690), (1738, p2, 1739), (1789, p2, 1880]}
------------------
s1:            {(-114, p1, -73), (-57, p1, 10], (66, p1, 73], [140, p1, 141), (188, p1, 235], (237, p1, 272], (322, p1, 390], [421, p1, 474], [540, p1, 555), (571, p1, 605], [616, p1, 658), (710, p1, 744), (786, p1, 793), [862, p1, 951], [1034, p1, 1035], (1078, p1, 1084], (1127, p1, 1221], (1309, p1, 1376], [1471, p1, 1526), [1544, p1, 1616)}
s2:            {(-28, p2, 53), [141, p2, 206), (222, p2, 320], (342, p2, 422], [502, p2, 563], (658, p2, 671), [696, p2, 760), (858, p2, 875), (883, p2, 936], [978, p2, 1055), [1141, p2, 1169), (1196, p2, 1212), [1237, p2, 1311), [1369, p2, 1457], [1514, p2, 1538), [1583, p2, 1665), (1745, p2, 1791], (1835, p2, 1925], [2007, p2, 2079], [2124, p2, 2140)}
union(s1, s2): {(-114, p1, -73), (-57, p1, -28], (-28, p2, 53), (66, p1, 73], [140, p1, 141), [141, p2, 188], (188, p1, 222], (222, p2, 320], (322, p1, 342], (342, p2, 421), [421, p1, 474], [502, p2, 563], (571, p1, 605], [616, p1, 658), (658, p2, 671), [696, p2, 760), (786, p1, 793), (858, p2, 862), [862, p1, 951], [978, p2, 1055), (1078, p1, 1084], (1127, p1, 1221], [1237, p2, 1309], (1309, p1, 1369), [1369, p2, 1457], [1471, p1, 1514), [1514, p2, 1538), [1544, p1, 1583), [1583, p2, 1665), (1745, p2, 1791], (1835, p2, 1925], [2007, p2, 2079], [2124, p2, 2140)}
------------------
s1:            {[-122, p1, -112), (-91, p1, -28], [-7, p1, 35), [66, p1, 82], (125, p1, 184), [201, p1, 249), [301, p1, 360], [457, p1, 528), (562, p1, 628], [656, p1, 723), [751, p1, 753), [850, p1, 949], [998, p1, 1021), (1089, p1, 1177), (1210, p1, 1329], (1417, p1, 1465), [1515, p1, 1563), [1624, p1, 1633), (1716, p1, 1751)}
s2:            {[145, p2, 211), [226, p2, 255], [315, p2, 387), (427, p2, 485), (512, p2, 610], [670, p2, 759), (811, p2, 901], (991, p2, 1019), [1036, p2, 1098), [1128, p2, 1135], [1208, p2, 1279), [1365, p2, 1463], [1507, p2, 1534), [1594, p2, 1606], [1624, p2, 1692), [1726, p2, 1771], (1784, p2, 1872], (1962, p2, 2031), [2049, p2, 2120], [2198, p2, 2293), (2340, p2, oo)}
union(s1, s2): {[-122, p1, -112), (-91, p1, -28], [-7, p1, 35), [66, p1, 82], (125, p1, 145), [145, p2, 201), [201, p1, 226), [226, p2, 255], [301, p1, 315), [315, p2, 387), (427, p2, 457), [457, p1, 512], (512, p2, 562], (562, p1, 628], [656, p1, 670), [670, p2, 759), (811, p2, 850), [850, p1, 949], (991, p2, 998), [998, p1, 1021), [1036, p2, 1089], (1089, p1, 1177), [1208, p2, 1210], (1210, p1, 1329], [1365, p2, 1417], (1417, p1, 1465), [1507, p2, 1515), [1515, p1, 1563), [1594, p2, 1606], [1624, p2, 1692), (1716, p1, 1726), [1726, p2, 1771], (1784, p2, 1872], (1962, p2, 2031), [2049, p2, 2120], [2198, p2, 2293), (2340, p2, oo)}
------------------
s1:            {(-oo, p1, -100], [-77, p1, 17), (67, p1, 99), [172, p1, 180], (203, p1, 205), (291, p1, 320], [377, p1, 417), [449, p1, 529], (572, p1, 646], (647, p1, 705), [772, p1, 816), [906, p1, 916), (965, p1, 1051), (1133, p1, 1134), (1173, p1, 1213], [1249, p1, 1332), [1379, p1, 1474), (1564, p1, 1667], [1670, p1, 1761), [1795, p1, 1870), (1929, p1, oo)}
s2:            {(-oo, p2, 89), [103, p2, 176], [228, p2, 310), [320, p2, 328], (367, p2, 409], (468, p2, 534], [555, p2, 604], (698, p2, 776], (785, p2, 833], (874, p2, 950], [1037, p2, 1128], (1208, p2, 1236), [1241, p2, 1298), (1391, p2, 1414], (1485, p2, 1560), (1641, p2, 1671], (1715, p2, 1755], [1824, p2, 1889], [1956, p2, 1980], (1994, p2, 2078], (2109, p2, 2125)}
union(s1, s2): {(-oo, p2, 67], (67, p1, 99), [103, p2, 172), [172, p1, 180], (203, p1, 205), [228, p2, 291], (291, p1, 320), [320, p2, 328], (367, p2, 377), [377, p1, 417), [449, p1, 468], (468, p2, 534], [555, p2, 572], (572, p1, 646], (647, p1, 698], (698, p2, 772), [772, p1, 785], (785, p2, 833], (874, p2, 950], (965, p1, 1037), [1037, p2, 1128], (1133, p1, 1134), (1173, p1, 1208], (1208, p2, 1236), [1241, p2, 1249), [1249, p1, 1332), [1379, p1, 1474), (1485, p2, 1560), (1564, p1, 1641], (1641, p2, 1670), [1670, p1, 1761), [1795, p1, 1824), [1824, p2, 1889], (1929, p1, oo)}
------------------
s1:            {[36, p1, 67), [88, p1, 111), (208, p1, 227), [314, p1, 360], (429, p1, 446), (527, p1, 613], [629, p1, 630), (723, p1, 776], (862, p1, 863), [907, p1, 907], [960, p1, 969), [1016, p1, 1071], [1095, p1, 1107], (1172, p1, 1185], [1196, p1, 1210], [1304, p1, 1386], [1482, p1, 1515), (1561, p1, 1620], [1649, p1, 1729), (1753, p1, 1775]}
s2:            {(-oo, p2, 212), [259, p2, 317), [412, p2, 504], (564, p2, 602), (700, p2, 743), (832, p2, 835], [909, p2, 945], (946, p2, 1029), [1106, p2, 1195), (1235, p2, 1300], (1348, p2, 1377], [1475, p2, 1502], [1591, p2, 1617), [1663, p2, 1707), (1803, p2, 1834), [1855, p2, 1938], [2001, p2, 2099], [2118, p2, 2149), [2154, p2, 2201), [2211, p2, 2252], (2302, p2, 2381)}
union(s1, s2): {(-oo, p2, 208], (208, p1, 227), [259, p2, 314), [314, p1, 360], [412, p2, 504], (527, p1, 613], [629, p1, 630), (700, p2, 723], (723, p1, 776], (832, p2, 835], (862, p1, 863), [907, p1, 907], [909, p2, 945], (946, p2, 1016), [1016, p1, 1071], [1095, p1, 1106), [1106, p2, 1195), [1196, p1, 1210], (1235, p2, 1300], [1304, p1, 1386], [1475, p2, 1482), [1482, p1, 1515), (1561, p1, 1620], [1649, p1, 1729), (1753, p1, 1775], (1803, p2, 1834), [1855, p2, 1938], [2001, p2, 2099], [2118, p2, 2149), [2154, p2, 2201), [2211, p2, 2252], (2302, p2, 2381)}
------------------
s1:            {(183, p1, 217], [232, p1, 310), (351, p1, 413], [452, p1, 493], [504, p1, 514], [530, p1, 572), [666, p1, 715], (733, p1, 778), (852, p1, 911], (915, p1, 990), (992, p1, 1075), (1093, p1, 1167), (1178, p1, 1276), (1315, p1, 1362], [1372, p1, 1374], (1398, p1, 1445], (1467, p1, 1468], (1559, p1, 1573], (1669, p1, 1722], (1814, p1, 1896), (1987, p1, oo)}
s2:            {[-75, p2, -30], [51, p2, 149], [180, p2, 213], [219, p2, 270], [271, p2, 327], (349, p2, 381), (418, p2, 513), [540, p2, 628], (664, p2, 717), [758, p2, 800), [834, p2, 858], [865, p2, 933], [1014, p2, 1070), [1126, p2, 1171), [1182, p2, 1192], (1259, p2, 1319], [1390, p2, 1441], [1504, p2, 1516], [1548, p2, 1579), (1603, p2, 1613], [1683, p2, oo)}
union(s1, s2): {[-75, p2, -30], [51, p2, 149], [180, p2, 183], (183, p1, 217], [219, p2, 232), [232, p1, 271), [271, p2, 327], (349, p2, 351], (351, p1, 413], (418, p2, 504), [504, p1, 514], [530, p1, 540), [540, p2, 628], (664, p2, 717), (733, p1, 758), [758, p2, 800), [834, p2, 852], (852, p1, 865), [865, p2, 915], (915, p1, 990), (992, p1, 1075), (1093, p1, 1126), [1126, p2, 1171), (1178, p1, 1259], (1259, p2, 1315], (1315, p1, 1362], [1372, p1, 1374], [1390, p2, 1398], (1398, p1, 1445], (1467, p1, 1468], [1504, p2, 1516], [1548, p2, 1579), (1603, p2, 1613], (1669, p1, 1683), [1683, p2, oo)}
------------------
s1:            {[-61, p1, 30], [64, p1, 105], [154, p1, 213], [284, p1, 380], [388, p1, 406], (419, p1, 470], (518, p1, 592), (669, p1, 700), (784, p1, 869), (890, p1, 953), [1004, p1, 1096], (1135, p1, 1186), [1237, p1, 1285], (1316, p1, 1387), (1429, p1, 1496), [1522, p1, 1585), (1632, p1, 1694), [1791, p1, 1839], [1857, p1, 1947]}
s2:            {[-28, p2, 24), [61, p2, 72], (170, p2, 195], (214, p2, 260), (329, p2, 378), (403, p2, 499], (536, p2, 631), [661, p2, 666], [706, p2, 751], [832, p2, 915], [945, p2, 1018], [1036, p2, 1040], [1053, p2, 1136), (1180, p2, 1208], [1221, p2, 1245], [1254, p2, 1310], (1350, p2, 1435], [1440, p2, 1456], (1535, p2, 1625), (1629, p2, 1662)}
union(s1, s2): {[-61, p1, 30], [61, p2, 64), [64, p1, 105], [154, p1, 213], (214, p2, 260), [284, p1, 380], [388, p1, 403], (403, p2, 499], (518, p1, 536], (536, p2, 631), [661, p2, 666], (669, p1, 700), [706, p2, 751], (784, p1, 832), [832, p2, 890], (890, p1, 945), [945, p2, 1004), [1004, p1, 1053), [1053, p2, 1135], (1135, p1, 1180], (1180, p2, 1208], [1221, p2, 1237), [1237, p1, 1254), [1254, p2, 1310], (1316, p1, 1350], (1350, p2, 1429], (1429, p1, 1496), [1522, p1, 1535], (1535, p2, 1625), (1629, p2, 1632], (1632, p1, 1694), [1791, p1, 1839], [1857, p1, 1947]}
------------------
s1:            {(59, p1, 102], (170, p1, 175), [227, p1, 257], [354, p1, 369], [433, p1, 514), [609, p1, 654), [683, p1, 697), [759, p1, 823), (826, p1, 879], [924, p1, 986], [996, p1, 1069), [1162, p1, 1258), [1315, p1, 1348], (1408, p1, 1467), [1475, p1, 1518], [1569, p1, 1570), [1629, p1, 1689], [1705, p1, 1777), (1810, p1, 1820], (1916, p1, 1997), [2037, p1, oo)}
s2:            {(216, p2, 272], (342, p2, 362], [449, p2, 546], (548, p2, 587), [678, p2, 729), (757, p2, 818], (826, p2, 853), (952, p2, 988), [1019, p2, 1047], (1073, p2, 1080], [1145, p2, 1194), (1230, p2, 1311], (1322, p2, 1411), (1448, p2, 1516), (1530, p2, 1543], (1605, p2, 1656), [1728, p2, 1822), [1918, p2, 1923], (1928, p2, 2016), (2090, p2, 2154]}
union(s1, s2): {(59, p1, 102], (170, p1, 175), (216, p2, 272], (342, p2, 354), [354, p1, 369], [433, p1, 449), [449, p2, 546], (548, p2, 587), [609, p1, 654), [678, p2, 729), (757, p2, 759), [759, p1, 823), (826, p1, 879], [924, p1, 952], (952, p2, 988), [996, p1, 1069), (1073, p2, 1080], [1145, p2, 1162), [1162, p1, 1230], (1230, p2, 1311], [1315, p1, 1322], (1322, p2, 1408], (1408, p1, 1448], (1448, p2, 1475), [1475, p1, 1518], (1530, p2, 1543], [1569, p1, 1570), (1605, p2, 1629), [1629, p1, 1689], [1705, p1, 1728), [1728, p2, 1822), (1916, p1, 1928], (1928, p2, 2016), [2037, p1, oo)}
------------------
s1:            {(7, p1, 38), [79, p1, 122], [132, p1, 133], [209, p1, 211], (237, p1, 257), (350, p1, 371], [431, p1, 511], [601, p1, 610), [673, p1, 700), (796, p1, 871], (954, p1, 994], [1045, p1, 1114), [1209, p1, 1231), [1232, p1, 1255], [1339, p1, 1376], [1394, p1, 1505], [1556, p1, 1645], [1710, p1, 1796), [1858, p1, 1886)}
s2:            {(-oo, p2, -77), (-13, p2, 5], [56, p2, 116], (186, p2, 213), (289, p2, 365], (404, p2, 497), [537, p2, 580], (616, p2, 711], [802, p2, 812), [875, p2, 954], (998, p2, 1039), [1136, p2, 1180), [1241, p2, 1302], (1381, p2, 1382], [1400, p2, 1409], [1430, p2, 1474), (1549, p2, 1638], [1716, p2, 1748), (1773, p2, 1839], (1853, p2, 1880], [1916, p2, 1996]}
union(s1, s2): {(-oo, p2, -77), (-13, p2, 5], (7, p1, 38), [56, p2, 79), [79, p1, 122], [132, p1, 133], (186, p2, 213), (237, p1, 257), (289, p2, 350], (350, p1, 371], (404, p2, 431), [431, p1, 511], [537, p2, 580], [601, p1, 610), (616, p2, 711], (796, p1, 871], [875, p2, 954], (954, p1, 994], (998, p2, 1039), [1045, p1, 1114), [1136, p2, 1180), [1209, p1, 1231), [1232, p1, 1241), [1241, p2, 1302], [1339, p1, 1376], (1381, p2, 1382], [1394, p1, 1505], (1549, p2, 1556), [1556, p1, 1645], [1710, p1, 1773], (1773, p2, 1839], (1853, p2, 1858), [1858, p1, 1886), [1916, p2, 1996]}
------------------
s1:            {(-oo, p1, 94), (130, p1, 149], (224, p1, 277), (323, p1, 352], (377, p1, 441), [477, p1, 519], [543, p1, 576], (657, p1, 744), [800, p1, 809), (889, p1, 960), (975, p1, 997], [999, p1, 1055), [1148, p1, 1207), [1302, p1, 1394], [1400, p1, 1469), (1494, p1, 1511), (1554, p1, 1597), [1601, p1, 1683), (1764, p1, 1835], (1919, p1, 1958], (2022, p1, 2097]}
s2:            {[133, p2, 134], [187, p2, 195], [215, p2, 228), (285, p2, 361], [379, p2, 427), [489, p2, 518], (542, p2, 597), (668, p2, 722], (774, p2, 873], (972, p2, 973], (1019, p2, 1066), (1128, p2, 1137), [1224, p2, 1237), [1327, p2, 1404), [1441, p2, 1451], [1526, p2, 1569), (1570, p2, 1611], [1682, p2, 1699), (1722, p2, 1771), [1778, p2, 1801)}
union(s1, s2): {(-oo, p1, 94), (130, p1, 149], [187, p2, 195], [215, p2, 224], (224, p1, 277), (285, p2, 361], (377, p1, 441), [477, p1, 519], (542, p2, 597), (657, p1, 744), (774, p2, 873], (889, p1, 960), (972, p2, 973], (975, p1, 997], [999, p1, 1019], (1019, p2, 1066), (1128, p2, 1137), [1148, p1, 1207), [1224, p2, 1237), [1302, p1, 1327), [1327, p2, 1400), [1400, p1, 1469), (1494, p1, 1511), [1526, p2, 1554], (1554, p1, 1570], (1570, p2, 1601), [1601, p1, 1682), [1682, p2, 1699), (1722, p2, 1764], (1764, p1, 1835], (1919, p1, 1958], (2022, p1, 2097]}
------------------
s1:            {[62, p1, 74], (118, p1, 186], (220, p1, 263], (306, p1, 312], [343, p1, 393], (442, p1, 473), [497, p1, 545], (588, p1, 596), (600, p1, 648], (742, p1, 773), [852, p1, 878], (928, p1, 996), (1042, p1, 1107), (1149, p1, 1162), (1240, p1, 1264], (1301, p1, 1361], [1425, p1, 1467), [1479, p1, 1487), [1571, p1, 1661], [1675, p1, 1766)}
s2:            {[-9, p2, 57), [150, p2, 218], (259, p2, 356], (366, p2, 405], (466, p2, 519), [589, p2, 662), [695, p2, 758), [829, p2, 837), [842, p2, 924), [928, p2, 938], [1014, p2, 1043), [1073, p2, 1116], (1135, p2, 1176], (1211, p2, 1229], (1263, p2, 1356], (1418, p2, 1471], (1500, p2, 1508], [1533, p2, 1565), [1662, p2, 1677), (1738, p2, 1744), (1776, p2, oo)}
union(s1, s2): {[-9, p2, 57), [62, p1, 74], (118, p1, 150), [150, p2, 218], (220, p1, 259], (259, p2, 343), [343, p1, 366], (366, p2, 405], (442, p1, 466], (466, p2, 497), [497, p1, 545], (588, p1, 589), [589, p2, 662), [695, p2, 742], (742, p1, 773), [829, p2, 837), [842, p2, 924), [928, p2, 928], (928, p1, 996), [1014, p2, 1042], (1042, p1, 1073), [1073, p2, 1116], (1135, p2, 1176], (1211, p2, 1229], (1240, p1, 1263], (1263, p2, 1301], (1301, p1, 1361], (1418, p2, 1471], [1479, p1, 1487), (1500, p2, 1508], [1533, p2, 1565), [1571, p1, 1661], [1662, p2, 1675), [1675, p1, 1766), (1776, p2, oo)}
------------------
s1:            {(-oo, p1, -104], (-39, p1, 30], [65, p1, 157], (203, p1, 253), (305, p1, 344], [361, p1, 437), (517, p1, 581], (586, p1, 625), [693, p1, 718), (723, p1, 774], (835, p1, 921), (1004, p1, 1040], (1090, p1, 1112), [1159, p1, 1225), [1283, p1, 1377), [1414, p1, 1483], (1526, p1, 1565), [1651, p1, 1750), (1794, p1, 1852], (1924, p1, 1989), [2065, p1, 2144)}
s2:            {[-16, p2, 49], (112, p2, 192], [245, p2, 315], [398, p2, 438], (512, p2, 557], [568, p2, 591], [678, p2, 696], (759, p2, 783], (802, p2, 875), [956, p2, 969], [999, p2, 1095], [1192, p2, 1262], [1301, p2, 1380), [1430, p2, 1486), (1514, p2, 1597), [1679, p2, 1758), (1764, p2, 1776], [1853, p2, 1882], (1931, p2, 1993), (2044, p2, 2096]}
union(s1, s2): {(-oo, p1, -104], (-39, p1, -16), [-16, p2, 49], [65, p1, 112], (112, p2, 192], (203, p1, 245), [245, p2, 305], (305, p1, 344], [361, p1, 398), [398, p2, 438], (512, p2, 517], (517, p1, 568), [568, p2, 586], (586, p1, 625), [678, p2, 693), [693, p1, 718), (723, p1, 759], (759, p2, 783], (802, p2, 835], (835, p1, 921), [956, p2, 969], [999, p2, 1090], (1090, p1, 1112), [1159, p1, 1192), [1192, p2, 1262], [1283, p1, 1301), [1301, p2, 1380), [1414, p1, 1430), [1430, p2, 1486), (1514, p2, 1597), [1651, p1, 1679), [1679, p2, 1758), (1764, p2, 1776], (1794, p1, 1852], [1853, p2, 1882], (1924, p1, 1931], (1931, p2, 1993), (2044, p2, 2065), [2065, p1, 2144)}
------------------
s1:            {(13, p1, 91), [186, p1, 226], [300, p1, 337], [419, p1, 515], [587, p1, 658), (724, p1, 841], [865, p1, 924), [993, p1, 1085], (1120, p1, 1151], [1176, p1, 1212], [1307, p1, 1315), (1347, p1, 1418), [1505, p1, 1534], [1576, p1, 1666), (1689, p1, 1771], (1793, p1, 1804), [1838, p1, 1854), (1881, p1, 1883), (1952, p1, 2013]}
s2:            {(-oo, p2, 92), (177, p2, 182], (242, p2, 297), (335, p2, 424], (461, p2, 556), [637, p2, 640), (692, p2, 718), [728, p2, 804), [853, p2, 886], [894, p2, 987], (996, p2, 1048], [1119, p2, 1198), [1291, p2, 1329], [1341, p2, 1391], (1441, p2, 1469), [1549, p2, 1583], (1621, p2, 1663), (1716, p2, 1757], (1819, p2, 1889), [1977, p2, 2016], [2106, p2, 2164]}
union(s1, s2): {(-oo, p2, 92), (177, p2, 182], [186, p1, 226], (242, p2, 297), [300, p1, 335], (335, p2, 419), [419, p1, 461], (461, p2, 556), [587, p1, 658), (692, p2, 718), (724, p1, 841], [853, p2, 865), [865, p1, 894), [894, p2, 987], [993, p1, 1085], [1119, p2, 1176), [1176, p1, 1212], [1291, p2, 1329], [1341, p2, 1347], (1347, p1, 1418), (1441, p2, 1469), [1505, p1, 1534], [1549, p2, 1576), [1576, p1, 1666), (1689, p1, 1771], (1793, p1, 1804), (1819, p2, 1889), (1952, p1, 1977), [1977, p2, 2016], [2106, p2, 2164]}
s1: {}
s2: {(-oo, ~p2, 1.4142135623?]}
s3: {[0, p1, 2]}
s4: {(-oo, ~p2, 0), [0, p1, 2]}
------------------
s1:            {[0, p1, 2]}
s2:            {[0, p2, 2]}
union(s1, s2): {[0, p1, 2]}
------------------
s1:            {[0, p1, 2]}
s2:            {[-1.4142135623?, p2, 1]}
union(s1, s2): {[-1.4142135623?, p2, 0), [0, p1, 2]}
------------------
s1:            {[-1.4142135623?, p1, 1]}
s2:            {[0, p2, 2]}
union(s1, s2): {[-1.4142135623?, p1, 0), [0, p2, 2]}
------------------
s1:            {[-1.4142135623?, p1, 1]}
s2:            {[2, p2, 3]}
union(s1, s2): {[-1.4142135623?, p1, 1], [2, p2, 3]}
------------------
s1:            {[-1.4142135623?, p1, 3]}
s2:            {[0, p2, 2]}
union(s1, s2): {[-1.4142135623?, p1, 3]}
------------------
s1:            {[-2, p1, 2]}
s2:            {[-1.4142135623?, p2, 0], [1, p2, 3]}
union(s1, s2): {[-2, p1, 1), [1, p2, 3]}
------------------
s1:            {[-2, p1, 2]}
s2:            {[2, p2, 3]}
union(s1, s2): {[-2, p1, 2), [2, p2, 3]}
------------------
s1:            {[-2, p1, 2]}
s2:            {(2, p2, 3]}
union(s1, s2): {[-2, p1, 2], (2, p2, 3]}
------------------
s1:            {[-2, p1, 2]}
s2:            {(2, p1, 3]}
union(s1, s2): {[-2, p1, 3]}
------------------
s1:            {[-2, p1, 2)}
s2:            {(2, p1, 3]}
union(s1, s2): {[-2, p1, 2), (2, p1, 3]}
------------------
s1:            {[2, p1, 2]}
s2:            {[2, p2, 3]}
union(s1, s2): {[2, p2, 3]}
------------------
s1:            {[-2, p1, 0], [1, p1, 3]}
s2:            {(-oo, p2, -1.4142135623?]}
union(s1, s2): {(-oo, p2, -2), [-2, p1, 0], [1, p1, 3]}
------------------
s1:            {[-2, p1, 0], [1, p1, 3]}
s2:            {(-oo, p2, -1.4142135623?], [1, p2, 1.4142135623?], [2, p2, oo)}
union(s1, s2): {(-oo, p2, -2), [-2, p1, 0], [1, p1, 2), [2, p2, oo)}
------------------
s1:            {(-oo, p1, 1]}
s2:            {(1, p2, oo)}
union(s1, s2): {(-oo, p1, 1], (1, p2, oo)}*
------------------
s1:            {(-oo, p1, 1]}
s2:            {(1, p2, 2), [2, p1, oo)}
union(s1, s2): {(-oo, p1, 1], (1, p2, 2), [2, p1, oo)}*
PASS
(test nlsat :time 0.14 :before-memory 1465.83 :after-memory 1465.83)
PASS
(test ext_numeral :time 0.00 :before-memory 1465.83 :after-memory 1465.83)
PASS
(test ext_numeral :time 0.00 :before-memory 1465.83 :after-memory 1465.83)
PASS
(test interval :time 10.04 :before-memory 1465.83 :after-memory 1465.83)
PASS
(test interval :time 10.33 :before-memory 1465.83 :after-memory 1465.83)
floor(11/3): 3
ceil(11/3): 4
floor(-11/3): -4
ceil(-11/3): -3
floor(11): 11
ceil(11): 11
using mpf...
floor(11/3): 3
ceil(11/3): 4
floor(-11/3): -4
ceil(-11/3): -3
floor(11): 11
ceil(11): 11
PASS
(test f2n :time 0.01 :before-memory 1465.84 :after-memory 1465.84)
floor(11/3): 3
ceil(11/3): 4
floor(-11/3): -4
ceil(-11/3): -3
floor(11): 11
ceil(11): 11
using mpf...
floor(11/3): 3
ceil(11/3): 4
floor(-11/3): -4
ceil(-11/3): -3
floor(11): 11
ceil(11): 11
PASS
(test f2n :time 0.01 :before-memory 1465.84 :after-memory 1465.84)
28.7092
PASS
(test hwf :time 0.01 :before-memory 1465.84 :after-memory 1465.84)
28.7092
PASS
(test hwf :time 0.01 :before-memory 1465.84 :after-memory 1465.84)
e float...
PASS
(test trigo :time 1.92 :before-memory 1465.84 :after-memory 1465.84)
e float...
PASS
(test trigo :time 1.92 :before-memory 1465.84 :after-memory 1465.84)
shr({0, 0}, 1)
shl({0, 2}, 10)
  for sz = 1
  for sz = 2
  shift by 1, k times
  self-shl
shl({2, 0}, 42)
  for sz = 1
  for sz = 2
  shift by 1, k times
  self-shl
shl({0, 0}, 1)
  for sz = 1
  for sz = 2
  for sz = 3
  shift by 1, k times
  self-shl
shl({2147483657, 5}, 1)
  for sz = 1
  for sz = 2
  shift by 1, k times
  self-shl
shl({2147483657, 2147483653}, 1)
  for sz = 1
  for sz = 2
  shift by 1, k times
  self-shl
shl({2147483657, 2147483653}, 1)
  for sz = 1
  for sz = 2
  for sz = 3
  shift by 1, k times
  self-shl
shl({2147483657, 2147483653}, 33)
  for sz = 1
  for sz = 2
  for sz = 3
  shift by 1, k times
  self-shl
shl({2147483657, 2147483653}, 33)
  for sz = 1
  for sz = 2
  for sz = 3
  for sz = 4
  shift by 1, k times
  self-shl
shl({4294967295, 4294967295}, 4)
  for sz = 1
  for sz = 2
  shift by 1, k times
  self-shl
PASS
(test bits :time 2.87 :before-memory 1465.84 :after-memory 1465.84)
shr({0, 0}, 1)
shl({0, 2}, 10)
  for sz = 1
  for sz = 2
  shift by 1, k times
  self-shl
shl({2, 0}, 42)
  for sz = 1
  for sz = 2
  shift by 1, k times
  self-shl
shl({0, 0}, 1)
  for sz = 1
  for sz = 2
  for sz = 3
  shift by 1, k times
  self-shl
shl({2147483657, 5}, 1)
  for sz = 1
  for sz = 2
  shift by 1, k times
  self-shl
shl({2147483657, 2147483653}, 1)
  for sz = 1
  for sz = 2
  shift by 1, k times
  self-shl
shl({2147483657, 2147483653}, 1)
  for sz = 1
  for sz = 2
  for sz = 3
  shift by 1, k times
  self-shl
shl({2147483657, 2147483653}, 33)
  for sz = 1
  for sz = 2
  for sz = 3
  shift by 1, k times
  self-shl
shl({2147483657, 2147483653}, 33)
  for sz = 1
  for sz = 2
  for sz = 3
  for sz = 4
  shift by 1, k times
  self-shl
shl({4294967295, 4294967295}, 4)
  for sz = 1
  for sz = 2
  shift by 1, k times
  self-shl
PASS
(test bits :time 3.04 :before-memory 1465.84 :after-memory 1465.84)
36637340735244577447646647796940134554460176108377786095865669439633741578249/2^67
1066286953144141515008134528672675792897940150822331957049483591681/2^32
496528555240547989964547813251929261208484019535748268035/2
-496528555240547989964547813251929261208484019535748268035/2
-1066286953144141515008134528672675792897940150822331957049483591681/2^32
283568639100782052886145506193140176213/2^127
PASS
(test mpbq :time 0.01 :before-memory 1465.84 :after-memory 1465.84)
36637340735244577447646647796940134554460176108377786095865669439633741578249/2^67
1066286953144141515008134528672675792897940150822331957049483591681/2^32
496528555240547989964547813251929261208484019535748268035/2
-496528555240547989964547813251929261208484019535748268035/2
-1066286953144141515008134528672675792897940150822331957049483591681/2^32
283568639100782052886145506193140176213/2^127
PASS
(test mpbq :time 0.01 :before-memory 1465.84 :after-memory 1465.84)
1 + 2 == 3
0000000000000010.aaaaaaaa
16.6666666665114462375640869140625
16.6666666665?
16.66666666674427688121795654296875
-0.25
PASS
(test mpfx :time 0.01 :before-memory 1465.84 :after-memory 1465.84)
1 + 2 == 3
0000000000000010.aaaaaaaa
16.6666666665114462375640869140625
16.6666666665?
16.66666666674427688121795654296875
-0.25
PASS
(test mpfx :time 0.01 :before-memory 1465.84 :after-memory 1465.84)
8000000000000000*2^-63
ffffffffffffffff*2^0
1/18446744073709551615 <= 9223372036854775809/2^127
6148914691236517205/2^64
0.3333333333333333333152632971252415927665424533188343048095703125
113427455640312821154458202477256070485/2^128
0.33333333333333333333333333333333333333235375470764809374335938621898146193515111203602326039874270691143465228378772735595703125
-6148914691236517205/2^64
-0.3333333333333333333152632971252415927665424533188343048095703125
-12297829382473034411/2^65
-0.33333333333333333334236835143737920361672877334058284759521484375
0
0
2
2
-3
-3
9223372036854775807
9223372036854775807
3689348814741910323/4611686018427387904
0.79999999999999999995663191310057982263970188796520233154296875
3689348814741910323/4611686018427387904
0.7999999999?
14757395258967641293/2305843009213693952
6.4000000000000000000867361737988403547205962240695953369140625
3689348814741910323/576460752303423488
6.39999999999999999965305530480463858111761510372161865234375
-14757395258967641293/2305843009213693952
-6.4000000000000000000867361737988403547205962240695953369140625
-3689348814741910323/576460752303423488
-6.39999999999999999965305530480463858111761510372161865234375
a: 100, b: -33
a*b: -3300
0: 10000
1: 100000000
2: 10000000000000000
3: 11368683772161602973*8796093022208
4: 14012984643248170706*2^149
5: 10644899600020376794*2^362
6: 12285516299433008768*2^787
7: 16364287392998134177*2^1637
8: 14516919669433371604*2^3338
9: 11424290153682525562*2^6740
10: 14150400200058902162*2^13543
11: 10854697448055447427*2^27150
12: 12774553191394443255*2^54363
13: 17693009518394580202*2^108789
14: 16970072581217843865*2^217642
15: 15611609412537894175*2^435348
16: 13212214983618536202*2^870760
17: 9463058850702125645*2^1741584
18: 9708974380956309792*2^3483231
19: 10220143257086981905*2^6966525
20: 11324635694842796481*2^13933113
21: 13904608109534817991*2^27866289
22: 10480880848522665959*2^55732642
23: 11909837630098276705*2^111465347
24: 15378782489584433463*2^222930757
25: 12821067496622365926*2^445861578
26: 17822090564721595194*2^891723219
27: 17218589406778995971*2^1783446502
28: 18446744073709551615*2^2147483647
29: 18446744073709551615*2^2147483647
30: 18446744073709551615*2^2147483647
31: 18446744073709551615*2^2147483647
32: 18446744073709551615*2^2147483647
33: 18446744073709551615*2^2147483647
34: 18446744073709551615*2^2147483647
35: 18446744073709551615*2^2147483647
36: 18446744073709551615*2^2147483647
37: 18446744073709551615*2^2147483647
38: 18446744073709551615*2^2147483647
39: 18446744073709551615*2^2147483647
40: 18446744073709551615*2^2147483647
41: 18446744073709551615*2^2147483647
42: 18446744073709551615*2^2147483647
43: 18446744073709551615*2^2147483647
44: 18446744073709551615*2^2147483647
45: 18446744073709551615*2^2147483647
46: 18446744073709551615*2^2147483647
47: 18446744073709551615*2^2147483647
48: 18446744073709551615*2^2147483647
49: 18446744073709551615*2^2147483647
50: 18446744073709551615*2^2147483647
51: 18446744073709551615*2^2147483647
52: 18446744073709551615*2^2147483647
53: 18446744073709551615*2^2147483647
54: 18446744073709551615*2^2147483647
55: 18446744073709551615*2^2147483647
56: 18446744073709551615*2^2147483647
57: 18446744073709551615*2^2147483647
58: 18446744073709551615*2^2147483647
59: 18446744073709551615*2^2147483647
60: 18446744073709551615*2^2147483647
61: 18446744073709551615*2^2147483647
62: 18446744073709551615*2^2147483647
63: 18446744073709551615*2^2147483647
64: 18446744073709551615*2^2147483647
65: 18446744073709551615*2^2147483647
66: 18446744073709551615*2^2147483647
67: 18446744073709551615*2^2147483647
68: 18446744073709551615*2^2147483647
69: 18446744073709551615*2^2147483647
70: 18446744073709551615*2^2147483647
71: 18446744073709551615*2^2147483647
72: 18446744073709551615*2^2147483647
73: 18446744073709551615*2^2147483647
74: 18446744073709551615*2^2147483647
75: 18446744073709551615*2^2147483647
76: 18446744073709551615*2^2147483647
77: 18446744073709551615*2^2147483647
78: 18446744073709551615*2^2147483647
79: 18446744073709551615*2^2147483647
80: 18446744073709551615*2^2147483647
81: 18446744073709551615*2^2147483647
82: 18446744073709551615*2^2147483647
83: 18446744073709551615*2^2147483647
84: 18446744073709551615*2^2147483647
85: 18446744073709551615*2^2147483647
86: 18446744073709551615*2^2147483647
87: 18446744073709551615*2^2147483647
88: 18446744073709551615*2^2147483647
89: 18446744073709551615*2^2147483647
90: 18446744073709551615*2^2147483647
91: 18446744073709551615*2^2147483647
92: 18446744073709551615*2^2147483647
93: 18446744073709551615*2^2147483647
94: 18446744073709551615*2^2147483647
95: 18446744073709551615*2^2147483647
96: 18446744073709551615*2^2147483647
97: 18446744073709551615*2^2147483647
98: 18446744073709551615*2^2147483647
99: 18446744073709551615*2^2147483647
[test2], a: 100, b: -100
[div] c: 6148914691236517205/2^64
[div] c: 12297829382473034411/2^65
[mpz->mpff] a: 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096, b: 9223372036854775808*2^449
8000000000000000*2^0
mpff(1/3) 6148914691236517205/2^64
b: 12297829382473034411/2^65
b: 1
b: 6148914691236517205/4611686018427387904
b: 2
2.0
(- 2.0)
(/ 6148914691236517205.0 (^ 2.0 64.0))
PASS
(test mpff :time 9.58 :before-memory 1465.84 :after-memory 1465.84)
8000000000000000*2^-63
ffffffffffffffff*2^0
1/18446744073709551615 <= 9223372036854775809/2^127
6148914691236517205/2^64
0.3333333333333333333152632971252415927665424533188343048095703125
113427455640312821154458202477256070485/2^128
0.33333333333333333333333333333333333333235375470764809374335938621898146193515111203602326039874270691143465228378772735595703125
-6148914691236517205/2^64
-0.3333333333333333333152632971252415927665424533188343048095703125
-12297829382473034411/2^65
-0.33333333333333333334236835143737920361672877334058284759521484375
0
0
2
2
-3
-3
9223372036854775807
9223372036854775807
3689348814741910323/4611686018427387904
0.79999999999999999995663191310057982263970188796520233154296875
3689348814741910323/4611686018427387904
0.7999999999?
14757395258967641293/2305843009213693952
6.4000000000000000000867361737988403547205962240695953369140625
3689348814741910323/576460752303423488
6.39999999999999999965305530480463858111761510372161865234375
-14757395258967641293/2305843009213693952
-6.4000000000000000000867361737988403547205962240695953369140625
-3689348814741910323/576460752303423488
-6.39999999999999999965305530480463858111761510372161865234375
a: 100, b: -33
a*b: -3300
0: 10000
1: 100000000
2: 10000000000000000
3: 11368683772161602973*8796093022208
4: 14012984643248170706*2^149
5: 10644899600020376794*2^362
6: 12285516299433008768*2^787
7: 16364287392998134177*2^1637
8: 14516919669433371604*2^3338
9: 11424290153682525562*2^6740
10: 14150400200058902162*2^13543
11: 10854697448055447427*2^27150
12: 12774553191394443255*2^54363
13: 17693009518394580202*2^108789
14: 16970072581217843865*2^217642
15: 15611609412537894175*2^435348
16: 13212214983618536202*2^870760
17: 9463058850702125645*2^1741584
18: 9708974380956309792*2^3483231
19: 10220143257086981905*2^6966525
20: 11324635694842796481*2^13933113
21: 13904608109534817991*2^27866289
22: 10480880848522665959*2^55732642
23: 11909837630098276705*2^111465347
24: 15378782489584433463*2^222930757
25: 12821067496622365926*2^445861578
26: 17822090564721595194*2^891723219
27: 17218589406778995971*2^1783446502
28: 18446744073709551615*2^2147483647
29: 18446744073709551615*2^2147483647
30: 18446744073709551615*2^2147483647
31: 18446744073709551615*2^2147483647
32: 18446744073709551615*2^2147483647
33: 18446744073709551615*2^2147483647
34: 18446744073709551615*2^2147483647
35: 18446744073709551615*2^2147483647
36: 18446744073709551615*2^2147483647
37: 18446744073709551615*2^2147483647
38: 18446744073709551615*2^2147483647
39: 18446744073709551615*2^2147483647
40: 18446744073709551615*2^2147483647
41: 18446744073709551615*2^2147483647
42: 18446744073709551615*2^2147483647
43: 18446744073709551615*2^2147483647
44: 18446744073709551615*2^2147483647
45: 18446744073709551615*2^2147483647
46: 18446744073709551615*2^2147483647
47: 18446744073709551615*2^2147483647
48: 18446744073709551615*2^2147483647
49: 18446744073709551615*2^2147483647
50: 18446744073709551615*2^2147483647
51: 18446744073709551615*2^2147483647
52: 18446744073709551615*2^2147483647
53: 18446744073709551615*2^2147483647
54: 18446744073709551615*2^2147483647
55: 18446744073709551615*2^2147483647
56: 18446744073709551615*2^2147483647
57: 18446744073709551615*2^2147483647
58: 18446744073709551615*2^2147483647
59: 18446744073709551615*2^2147483647
60: 18446744073709551615*2^2147483647
61: 18446744073709551615*2^2147483647
62: 18446744073709551615*2^2147483647
63: 18446744073709551615*2^2147483647
64: 18446744073709551615*2^2147483647
65: 18446744073709551615*2^2147483647
66: 18446744073709551615*2^2147483647
67: 18446744073709551615*2^2147483647
68: 18446744073709551615*2^2147483647
69: 18446744073709551615*2^2147483647
70: 18446744073709551615*2^2147483647
71: 18446744073709551615*2^2147483647
72: 18446744073709551615*2^2147483647
73: 18446744073709551615*2^2147483647
74: 18446744073709551615*2^2147483647
75: 18446744073709551615*2^2147483647
76: 18446744073709551615*2^2147483647
77: 18446744073709551615*2^2147483647
78: 18446744073709551615*2^2147483647
79: 18446744073709551615*2^2147483647
80: 18446744073709551615*2^2147483647
81: 18446744073709551615*2^2147483647
82: 18446744073709551615*2^2147483647
83: 18446744073709551615*2^2147483647
84: 18446744073709551615*2^2147483647
85: 18446744073709551615*2^2147483647
86: 18446744073709551615*2^2147483647
87: 18446744073709551615*2^2147483647
88: 18446744073709551615*2^2147483647
89: 18446744073709551615*2^2147483647
90: 18446744073709551615*2^2147483647
91: 18446744073709551615*2^2147483647
92: 18446744073709551615*2^2147483647
93: 18446744073709551615*2^2147483647
94: 18446744073709551615*2^2147483647
95: 18446744073709551615*2^2147483647
96: 18446744073709551615*2^2147483647
97: 18446744073709551615*2^2147483647
98: 18446744073709551615*2^2147483647
99: 18446744073709551615*2^2147483647
[test2], a: 100, b: -100
[div] c: 6148914691236517205/2^64
[div] c: 12297829382473034411/2^65
[mpz->mpff] a: 13407807929942597099574024998205846127479365820592393377723561443721764030073546976801874298166903427690031858186486050853753882811946569946433649006084096, b: 9223372036854775808*2^449
8000000000000000*2^0
mpff(1/3) 6148914691236517205/2^64
b: 12297829382473034411/2^65
b: 1
b: 6148914691236517205/4611686018427387904
b: 2
2.0
(- 2.0)
(/ 6148914691236517205.0 (^ 2.0 64.0))
PASS
(test mpff :time 9.80 :before-memory 1465.84 :after-memory 1465.84)
(define-fun q ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun p ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun q ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun p ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun r ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun p ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun q ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun q ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun p ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun r ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun q ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun p ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun r ((x!1 Int) (x!2 Int)) Bool
  false)
PASS
(test horn_subsume_model_converter :time 0.01 :before-memory 1465.84 :after-memory 1465.84)
(define-fun q ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun p ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun q ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun p ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun r ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun p ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun q ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun q ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun p ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun r ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun q ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun p ((x!1 Int) (x!2 Int)) Bool
  false)
(define-fun r ((x!1 Int) (x!2 Int)) Bool
  false)
PASS
(test horn_subsume_model_converter :time 0.01 :before-memory 1465.84 :after-memory 1465.84)
(define-fun x () Int
  0)
(define-fun p ((x!1 Int) (x!2 Int)) Int
  (ite (and (= x!1 1) (= x!2 2)) 1
  (ite (and (= x!1 0) (= x!2 1)) 2
    0)))
(define-fun q ((x!1 Int) (x!2 Int)) Int
  (ite (and (= x!1 1) (= x!2 2)) 1
  (ite (and (= x!1 0) (= x!2 1)) 2
    #unspecified)))
(let ((a!1 (forall ((A Int) (B Int))
             (ite (and (= A 1) (= B 2))
                  (= (q A B) 1)
                  (=> (and (= A 0) (= B 1)) (= (q A B) 2))))))
  (and (= x 0)
       (forall ((A Int) (B Int))
         (let ((a!1 (ite (and (= A 1) (= B 2))
                         1
                         (ite (and (= A 0) (= B 1)) 2 0))))
           (= (p A B) a!1)))
       a!1))
PASS
(test model2expr :time 0.02 :before-memory 1465.84 :after-memory 1465.84)
(define-fun x () Int
  0)
(define-fun p ((x!1 Int) (x!2 Int)) Int
  (ite (and (= x!1 1) (= x!2 2)) 1
  (ite (and (= x!1 0) (= x!2 1)) 2
    0)))
(define-fun q ((x!1 Int) (x!2 Int)) Int
  (ite (and (= x!1 1) (= x!2 2)) 1
  (ite (and (= x!1 0) (= x!2 1)) 2
    #unspecified)))
(let ((a!1 (forall ((A Int) (B Int))
             (ite (and (= A 1) (= B 2))
                  (= (q A B) 1)
                  (=> (and (= A 0) (= B 1)) (= (q A B) 2))))))
  (and (= x 0)
       (forall ((A Int) (B Int))
         (let ((a!1 (ite (and (= A 1) (= B 2))
                         1
                         (ite (and (= A 0) (= B 1)) 2 0))))
           (= (p A B) a!1)))
       a!1))
PASS
(test model2expr :time 0.01 :before-memory 1465.84 :after-memory 1465.84)
hilbert basis test
hb.basis_size:            76
hb.index.num_insert:      76
hb.index.size:            76
heap_trie.num_1_children: 2916
heap_trie.num_2_children: 74
heap_trie.num_inserts:    76
heap_trie.num_nodes:      3066
time: 0.01
hb.basis_size:            76
hb.index.num_insert:      152
hb.index.size:            76
hb.num_saturations:       1
heap_trie.num_1_children: 2982
heap_trie.num_2_children: 74
heap_trie.num_inserts:    152
heap_trie.num_nodes:      3132
time: 0.01
hb.basis_size:            76
hb.index.num_insert:      228
hb.index.size:            76
hb.num_saturations:       2
heap_trie.num_1_children: 3050
heap_trie.num_2_children: 74
heap_trie.num_inserts:    228
heap_trie.num_nodes:      3200
time: 0.02
hb.basis_size:            76
hb.index.num_insert:      304
hb.index.size:            76
hb.num_saturations:       3
heap_trie.num_1_children: 3120
heap_trie.num_2_children: 74
heap_trie.num_inserts:    304
heap_trie.num_nodes:      3270
time: 0.02
hb.basis_size:            76
hb.index.num_insert:      380
hb.index.size:            76
hb.num_saturations:       4
heap_trie.num_1_children: 3192
heap_trie.num_2_children: 74
heap_trie.num_inserts:    380
heap_trie.num_nodes:      3342
time: 0.02
hb.basis_size:            76
hb.index.num_insert:      456
hb.index.size:            76
hb.num_saturations:       5
heap_trie.num_1_children: 3266
heap_trie.num_2_children: 74
heap_trie.num_inserts:    456
heap_trie.num_nodes:      3416
time: 0.02
hb.basis_size:            76
hb.index.num_insert:      532
hb.index.size:            76
hb.num_saturations:       6
heap_trie.num_1_children: 3342
heap_trie.num_2_children: 74
heap_trie.num_inserts:    532
heap_trie.num_nodes:      3492
time: 0.02
hb.basis_size:            76
hb.index.num_insert:      608
hb.index.size:            76
hb.num_saturations:       7
heap_trie.num_1_children: 3420
heap_trie.num_2_children: 74
heap_trie.num_inserts:    608
heap_trie.num_nodes:      3570
time: 0.02
hb.basis_size:            76
hb.index.num_insert:      684
hb.index.size:            76
hb.num_saturations:       8
heap_trie.num_1_children: 3500
heap_trie.num_2_children: 74
heap_trie.num_inserts:    684
heap_trie.num_nodes:      3650
time: 0.03
hb.basis_size:            76
hb.index.num_insert:      760
hb.index.size:            76
hb.num_saturations:       9
heap_trie.num_1_children: 3582
heap_trie.num_2_children: 74
heap_trie.num_inserts:    760
heap_trie.num_nodes:      3732
time: 0.02
hb.basis_size:            76
hb.index.num_insert:      836
hb.index.size:            76
hb.num_saturations:       10
heap_trie.num_1_children: 3666
heap_trie.num_2_children: 74
heap_trie.num_inserts:    836
heap_trie.num_nodes:      3816
time: 0.03
hb.basis_size:            76
hb.index.num_insert:      912
hb.index.size:            76
hb.num_saturations:       11
heap_trie.num_1_children: 3752
heap_trie.num_2_children: 74
heap_trie.num_inserts:    912
heap_trie.num_nodes:      3902
time: 0.03
hb.basis_size:            76
hb.index.num_insert:      988
hb.index.size:            76
hb.num_saturations:       12
heap_trie.num_1_children: 3840
heap_trie.num_2_children: 74
heap_trie.num_inserts:    988
heap_trie.num_nodes:      3990
time: 0.03
hb.basis_size:            76
hb.index.num_insert:      1064
hb.index.size:            76
hb.num_saturations:       13
heap_trie.num_1_children: 3930
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1064
heap_trie.num_nodes:      4080
time: 0.03
hb.basis_size:            76
hb.index.num_insert:      1140
hb.index.size:            76
hb.num_saturations:       14
heap_trie.num_1_children: 3947
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1140
heap_trie.num_nodes:      4097
time: 0.03
hb.basis_size:            76
hb.index.num_insert:      1216
hb.index.size:            76
hb.num_saturations:       15
heap_trie.num_1_children: 4038
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1216
heap_trie.num_nodes:      4188
time: 0.03
hb.basis_size:            76
hb.index.num_insert:      1292
hb.index.size:            76
hb.num_saturations:       16
heap_trie.num_1_children: 4139
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1292
heap_trie.num_nodes:      4289
time: 0.04
hb.basis_size:            76
hb.index.num_insert:      1368
hb.index.size:            76
hb.num_saturations:       17
heap_trie.num_1_children: 4250
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1368
heap_trie.num_nodes:      4400
time: 0.04
hb.basis_size:            76
hb.index.num_insert:      1444
hb.index.size:            76
hb.num_saturations:       18
heap_trie.num_1_children: 4569
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1444
heap_trie.num_nodes:      4719
time: 0.04
hb.basis_size:            76
hb.index.num_insert:      1520
hb.index.size:            76
hb.num_saturations:       19
heap_trie.num_1_children: 4748
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1520
heap_trie.num_nodes:      4898
time: 0.04
hb.basis_size:            76
hb.index.num_insert:      1596
hb.index.size:            76
hb.num_saturations:       20
heap_trie.num_1_children: 4937
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1596
heap_trie.num_nodes:      5087
time: 0.04
hb.basis_size:            76
hb.index.num_insert:      1672
hb.index.size:            76
hb.num_saturations:       21
heap_trie.num_1_children: 4959
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1672
heap_trie.num_nodes:      5109
time: 0.04
hb.basis_size:            76
hb.index.num_insert:      1748
hb.index.size:            76
hb.num_saturations:       22
heap_trie.num_1_children: 5291
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1748
heap_trie.num_nodes:      5441
time: 0.04
hb.basis_size:            76
hb.index.num_insert:      1824
hb.index.size:            76
hb.num_saturations:       23
heap_trie.num_1_children: 5558
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1824
heap_trie.num_nodes:      5708
time: 0.05
hb.basis_size:            76
hb.index.num_insert:      1900
hb.index.size:            76
hb.num_saturations:       24
heap_trie.num_1_children: 5562
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1900
heap_trie.num_nodes:      5712
time: 0.05
hb.basis_size:            76
hb.index.num_insert:      1976
hb.index.size:            76
hb.num_saturations:       25
heap_trie.num_1_children: 5587
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1976
heap_trie.num_nodes:      5737
time: 0.05
hb.basis_size:            76
hb.index.num_insert:      2052
hb.index.size:            76
hb.num_saturations:       26
heap_trie.num_1_children: 5932
heap_trie.num_2_children: 74
heap_trie.num_inserts:    2052
heap_trie.num_nodes:      6082
time: 0.05
hb.basis_size:            76
hb.index.num_insert:      2128
hb.index.size:            76
hb.num_saturations:       27
heap_trie.num_1_children: 5936
heap_trie.num_2_children: 74
heap_trie.num_inserts:    2128
heap_trie.num_nodes:      6086
time: 0.05
hb.basis_size:            76
hb.index.num_insert:      2204
hb.index.size:            76
hb.num_saturations:       28
heap_trie.num_1_children: 5940
heap_trie.num_2_children: 74
heap_trie.num_inserts:    2204
heap_trie.num_nodes:      6090
time: 0.06
hb.basis_size:            76
hb.index.num_insert:      2280
hb.index.size:            76
hb.num_saturations:       29
heap_trie.num_1_children: 5968
heap_trie.num_2_children: 74
heap_trie.num_inserts:    2280
heap_trie.num_nodes:      6118
time: 0.06
sat
inequalities:
 + x1 + x16 + x31 + x46 + x61 >= 0
 + x2 + x17 + x32 + x47 + x62 >= 0
 + x3 + x18 + x33 + x48 + x63 >= 0
 + x4 + x19 + x34 + x49 + x64 >= 0
 + x5 + x20 + x35 + x50 + x65 >= 0
 + x6 + x21 + x36 + x51 + x66 >= 0
 + x7 + x22 + x37 + x52 + x67 >= 0
 + x8 + x23 + x38 + x53 + x68 >= 0
 + x9 + x24 + x39 + x54 + x69 >= 0
 + x10 + x25 + x40 + x55 + x70 >= 0
 + x11 + x26 + x41 + x56 + x71 >= 0
 + x12 + x27 + x42 + x57 + x72 >= 0
 + x13 + x28 + x43 + x58 + x73 >= 0
 + x14 + x29 + x44 + x59 + x74 >= 0
 + x15 + x30 + x45 + x60 + x75 >= 0
 + x1 + x4 + x7 + x10 + x13 >= 0
 + x2 + x5 + x8 + x11 + x14 >= 0
 + x3 + x6 + x9 + x12 + x15 >= 0
 + x1 + x4 + x7 + x10 + x13 + x16 + x19 + x22 + x25 + x28 + x31 + x34 + x37 + x40 + x43 + x46 + x49 + x52 + x55 + x58 >= 0
 + x2 + x5 + x8 + x11 + x14 + x17 + x20 + x23 + x26 + x29 >= 0
 + x3 + x6 + x9 + x12 + x15 + x18 + x21 + x24 + x27 + x30 >= 0
 + x1 + x4 + x7 + x10 + x13 + x16 + x19 + x22 + x25 + x28 + x31 + x34 + x37 + x40 + x43 + x46 + x49 + x52 + x55 + x58 + x61 + x64 + x67 + x70 + x73 >= 0
 + x2 + x5 + x8 + x11 + x14 + x17 + x20 + x23 + x26 + x29 + x32 + x35 + x38 + x41 + x44 + x47 + x50 + x53 + x56 + x59 >= 0
 + x3 + x6 + x9 + x12 + x15 + x18 + x21 + x24 + x27 + x30 + x33 + x36 + x39 + x42 + x45 >= 0
 + x1 + x4 + x7 + x10 + x13 + x16 + x19 + x22 + x25 + x28 + x31 + x34 + x37 + x40 + x43 + x46 + x49 + x52 + x55 + x58 + x61 + x64 + x67 + x70 + x73 >= 0
 + x2 + x5 + x8 + x11 + x14 + x17 + x20 + x23 + x26 + x29 + x32 + x35 + x38 + x41 + x44 + x47 + x50 + x53 + x56 + x59 + x62 + x65 + x68 + x71 + x74 >= 0
 + x3 + x6 + x9 + x12 + x15 + x18 + x21 + x24 + x27 + x30 + x33 + x36 + x39 + x42 + x45 + x48 + x51 + x54 + x57 + x60 >= 0
 + x1 + x4 + x7 + x10 + x13 + x16 + x19 + x22 + x25 + x28 + x31 + x34 + x37 + x40 + x43 + x46 + x49 + x52 + x55 + x58 + x61 + x64 + x67 + x70 + x73 >= 0
 + x2 + x5 + x8 + x11 + x14 + x17 + x20 + x23 + x26 + x29 + x32 + x35 + x38 + x41 + x44 + x47 + x50 + x53 + x56 + x59 + x62 + x65 + x68 + x71 + x74 >= 0
 + x3 + x6 + x9 + x12 + x15 + x18 + x21 + x24 + x27 + x30 + x33 + x36 + x39 + x42 + x45 + x48 + x51 + x54 + x57 + x60 + x63 + x66 + x69 + x72 + x75 >= 0
basis:
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0  -> 0
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0  -> 0
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0  -> 1
hb.basis_size:            76
hb.index.num_insert:      2280
hb.index.size:            76
hb.num_saturations:       30
heap_trie.num_1_children: 5968
heap_trie.num_2_children: 74
heap_trie.num_inserts:    2280
heap_trie.num_nodes:      6118
time: 0.877253 secs
PASS
(test hilbert_basis :time 0.89 :before-memory 1465.84 :after-memory 1465.84)
hilbert basis test
hb.basis_size:            76
hb.index.num_insert:      76
hb.index.size:            76
heap_trie.num_1_children: 2916
heap_trie.num_2_children: 74
heap_trie.num_inserts:    76
heap_trie.num_nodes:      3066
time: 0.01
hb.basis_size:            76
hb.index.num_insert:      152
hb.index.size:            76
hb.num_saturations:       1
heap_trie.num_1_children: 2982
heap_trie.num_2_children: 74
heap_trie.num_inserts:    152
heap_trie.num_nodes:      3132
time: 0.01
hb.basis_size:            76
hb.index.num_insert:      228
hb.index.size:            76
hb.num_saturations:       2
heap_trie.num_1_children: 3050
heap_trie.num_2_children: 74
heap_trie.num_inserts:    228
heap_trie.num_nodes:      3200
time: 0.02
hb.basis_size:            76
hb.index.num_insert:      304
hb.index.size:            76
hb.num_saturations:       3
heap_trie.num_1_children: 3120
heap_trie.num_2_children: 74
heap_trie.num_inserts:    304
heap_trie.num_nodes:      3270
time: 0.02
hb.basis_size:            76
hb.index.num_insert:      380
hb.index.size:            76
hb.num_saturations:       4
heap_trie.num_1_children: 3192
heap_trie.num_2_children: 74
heap_trie.num_inserts:    380
heap_trie.num_nodes:      3342
time: 0.02
hb.basis_size:            76
hb.index.num_insert:      456
hb.index.size:            76
hb.num_saturations:       5
heap_trie.num_1_children: 3266
heap_trie.num_2_children: 74
heap_trie.num_inserts:    456
heap_trie.num_nodes:      3416
time: 0.02
hb.basis_size:            76
hb.index.num_insert:      532
hb.index.size:            76
hb.num_saturations:       6
heap_trie.num_1_children: 3342
heap_trie.num_2_children: 74
heap_trie.num_inserts:    532
heap_trie.num_nodes:      3492
time: 0.02
hb.basis_size:            76
hb.index.num_insert:      608
hb.index.size:            76
hb.num_saturations:       7
heap_trie.num_1_children: 3420
heap_trie.num_2_children: 74
heap_trie.num_inserts:    608
heap_trie.num_nodes:      3570
time: 0.02
hb.basis_size:            76
hb.index.num_insert:      684
hb.index.size:            76
hb.num_saturations:       8
heap_trie.num_1_children: 3500
heap_trie.num_2_children: 74
heap_trie.num_inserts:    684
heap_trie.num_nodes:      3650
time: 0.02
hb.basis_size:            76
hb.index.num_insert:      760
hb.index.size:            76
hb.num_saturations:       9
heap_trie.num_1_children: 3582
heap_trie.num_2_children: 74
heap_trie.num_inserts:    760
heap_trie.num_nodes:      3732
time: 0.03
hb.basis_size:            76
hb.index.num_insert:      836
hb.index.size:            76
hb.num_saturations:       10
heap_trie.num_1_children: 3666
heap_trie.num_2_children: 74
heap_trie.num_inserts:    836
heap_trie.num_nodes:      3816
time: 0.03
hb.basis_size:            76
hb.index.num_insert:      912
hb.index.size:            76
hb.num_saturations:       11
heap_trie.num_1_children: 3752
heap_trie.num_2_children: 74
heap_trie.num_inserts:    912
heap_trie.num_nodes:      3902
time: 0.03
hb.basis_size:            76
hb.index.num_insert:      988
hb.index.size:            76
hb.num_saturations:       12
heap_trie.num_1_children: 3840
heap_trie.num_2_children: 74
heap_trie.num_inserts:    988
heap_trie.num_nodes:      3990
time: 0.03
hb.basis_size:            76
hb.index.num_insert:      1064
hb.index.size:            76
hb.num_saturations:       13
heap_trie.num_1_children: 3930
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1064
heap_trie.num_nodes:      4080
time: 0.03
hb.basis_size:            76
hb.index.num_insert:      1140
hb.index.size:            76
hb.num_saturations:       14
heap_trie.num_1_children: 3947
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1140
heap_trie.num_nodes:      4097
time: 0.03
hb.basis_size:            76
hb.index.num_insert:      1216
hb.index.size:            76
hb.num_saturations:       15
heap_trie.num_1_children: 4038
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1216
heap_trie.num_nodes:      4188
time: 0.04
hb.basis_size:            76
hb.index.num_insert:      1292
hb.index.size:            76
hb.num_saturations:       16
heap_trie.num_1_children: 4139
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1292
heap_trie.num_nodes:      4289
time: 0.04
hb.basis_size:            76
hb.index.num_insert:      1368
hb.index.size:            76
hb.num_saturations:       17
heap_trie.num_1_children: 4250
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1368
heap_trie.num_nodes:      4400
time: 0.04
hb.basis_size:            76
hb.index.num_insert:      1444
hb.index.size:            76
hb.num_saturations:       18
heap_trie.num_1_children: 4569
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1444
heap_trie.num_nodes:      4719
time: 0.04
hb.basis_size:            76
hb.index.num_insert:      1520
hb.index.size:            76
hb.num_saturations:       19
heap_trie.num_1_children: 4748
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1520
heap_trie.num_nodes:      4898
time: 0.04
hb.basis_size:            76
hb.index.num_insert:      1596
hb.index.size:            76
hb.num_saturations:       20
heap_trie.num_1_children: 4937
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1596
heap_trie.num_nodes:      5087
time: 0.04
hb.basis_size:            76
hb.index.num_insert:      1672
hb.index.size:            76
hb.num_saturations:       21
heap_trie.num_1_children: 4959
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1672
heap_trie.num_nodes:      5109
time: 0.05
hb.basis_size:            76
hb.index.num_insert:      1748
hb.index.size:            76
hb.num_saturations:       22
heap_trie.num_1_children: 5291
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1748
heap_trie.num_nodes:      5441
time: 0.05
hb.basis_size:            76
hb.index.num_insert:      1824
hb.index.size:            76
hb.num_saturations:       23
heap_trie.num_1_children: 5558
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1824
heap_trie.num_nodes:      5708
time: 0.05
hb.basis_size:            76
hb.index.num_insert:      1900
hb.index.size:            76
hb.num_saturations:       24
heap_trie.num_1_children: 5562
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1900
heap_trie.num_nodes:      5712
time: 0.05
hb.basis_size:            76
hb.index.num_insert:      1976
hb.index.size:            76
hb.num_saturations:       25
heap_trie.num_1_children: 5587
heap_trie.num_2_children: 74
heap_trie.num_inserts:    1976
heap_trie.num_nodes:      5737
time: 0.05
hb.basis_size:            76
hb.index.num_insert:      2052
hb.index.size:            76
hb.num_saturations:       26
heap_trie.num_1_children: 5932
heap_trie.num_2_children: 74
heap_trie.num_inserts:    2052
heap_trie.num_nodes:      6082
time: 0.05
hb.basis_size:            76
hb.index.num_insert:      2128
hb.index.size:            76
hb.num_saturations:       27
heap_trie.num_1_children: 5936
heap_trie.num_2_children: 74
heap_trie.num_inserts:    2128
heap_trie.num_nodes:      6086
time: 0.05
hb.basis_size:            76
hb.index.num_insert:      2204
hb.index.size:            76
hb.num_saturations:       28
heap_trie.num_1_children: 5940
heap_trie.num_2_children: 74
heap_trie.num_inserts:    2204
heap_trie.num_nodes:      6090
time: 0.06
hb.basis_size:            76
hb.index.num_insert:      2280
hb.index.size:            76
hb.num_saturations:       29
heap_trie.num_1_children: 5968
heap_trie.num_2_children: 74
heap_trie.num_inserts:    2280
heap_trie.num_nodes:      6118
time: 0.06
sat
inequalities:
 + x1 + x16 + x31 + x46 + x61 >= 0
 + x2 + x17 + x32 + x47 + x62 >= 0
 + x3 + x18 + x33 + x48 + x63 >= 0
 + x4 + x19 + x34 + x49 + x64 >= 0
 + x5 + x20 + x35 + x50 + x65 >= 0
 + x6 + x21 + x36 + x51 + x66 >= 0
 + x7 + x22 + x37 + x52 + x67 >= 0
 + x8 + x23 + x38 + x53 + x68 >= 0
 + x9 + x24 + x39 + x54 + x69 >= 0
 + x10 + x25 + x40 + x55 + x70 >= 0
 + x11 + x26 + x41 + x56 + x71 >= 0
 + x12 + x27 + x42 + x57 + x72 >= 0
 + x13 + x28 + x43 + x58 + x73 >= 0
 + x14 + x29 + x44 + x59 + x74 >= 0
 + x15 + x30 + x45 + x60 + x75 >= 0
 + x1 + x4 + x7 + x10 + x13 >= 0
 + x2 + x5 + x8 + x11 + x14 >= 0
 + x3 + x6 + x9 + x12 + x15 >= 0
 + x1 + x4 + x7 + x10 + x13 + x16 + x19 + x22 + x25 + x28 + x31 + x34 + x37 + x40 + x43 + x46 + x49 + x52 + x55 + x58 >= 0
 + x2 + x5 + x8 + x11 + x14 + x17 + x20 + x23 + x26 + x29 >= 0
 + x3 + x6 + x9 + x12 + x15 + x18 + x21 + x24 + x27 + x30 >= 0
 + x1 + x4 + x7 + x10 + x13 + x16 + x19 + x22 + x25 + x28 + x31 + x34 + x37 + x40 + x43 + x46 + x49 + x52 + x55 + x58 + x61 + x64 + x67 + x70 + x73 >= 0
 + x2 + x5 + x8 + x11 + x14 + x17 + x20 + x23 + x26 + x29 + x32 + x35 + x38 + x41 + x44 + x47 + x50 + x53 + x56 + x59 >= 0
 + x3 + x6 + x9 + x12 + x15 + x18 + x21 + x24 + x27 + x30 + x33 + x36 + x39 + x42 + x45 >= 0
 + x1 + x4 + x7 + x10 + x13 + x16 + x19 + x22 + x25 + x28 + x31 + x34 + x37 + x40 + x43 + x46 + x49 + x52 + x55 + x58 + x61 + x64 + x67 + x70 + x73 >= 0
 + x2 + x5 + x8 + x11 + x14 + x17 + x20 + x23 + x26 + x29 + x32 + x35 + x38 + x41 + x44 + x47 + x50 + x53 + x56 + x59 + x62 + x65 + x68 + x71 + x74 >= 0
 + x3 + x6 + x9 + x12 + x15 + x18 + x21 + x24 + x27 + x30 + x33 + x36 + x39 + x42 + x45 + x48 + x51 + x54 + x57 + x60 >= 0
 + x1 + x4 + x7 + x10 + x13 + x16 + x19 + x22 + x25 + x28 + x31 + x34 + x37 + x40 + x43 + x46 + x49 + x52 + x55 + x58 + x61 + x64 + x67 + x70 + x73 >= 0
 + x2 + x5 + x8 + x11 + x14 + x17 + x20 + x23 + x26 + x29 + x32 + x35 + x38 + x41 + x44 + x47 + x50 + x53 + x56 + x59 + x62 + x65 + x68 + x71 + x74 >= 0
 + x3 + x6 + x9 + x12 + x15 + x18 + x21 + x24 + x27 + x30 + x33 + x36 + x39 + x42 + x45 + x48 + x51 + x54 + x57 + x60 + x63 + x66 + x69 + x72 + x75 >= 0
basis:
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0  -> 0
0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0  -> 0
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1  -> 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0  -> 1
hb.basis_size:            76
hb.index.num_insert:      2280
hb.index.size:            76
hb.num_saturations:       30
heap_trie.num_1_children: 5968
heap_trie.num_2_children: 74
heap_trie.num_inserts:    2280
heap_trie.num_nodes:      6118
time: 0.957941 secs
PASS
(test hilbert_basis :time 0.97 :before-memory 1465.84 :after-memory 1465.84)
find_le: 1 2 3  |-> 1 3 
heap_trie.num_1_children:    4
heap_trie.num_2_children:    2
heap_trie.num_find_eq:       4
heap_trie.num_find_le:       1
heap_trie.num_find_le_nodes: 4
heap_trie.num_inserts:       3
heap_trie.num_nodes:         9
find_le: 2 2 3  |-> 1 3 2 
heap_trie.num_1_children:    4
heap_trie.num_2_children:    2
heap_trie.num_find_eq:       4
heap_trie.num_find_le:       2
heap_trie.num_find_le_nodes: 10
heap_trie.num_inserts:       3
heap_trie.num_nodes:         9
find_le: 1 1 3  |-> 3 
heap_trie.num_1_children:    4
heap_trie.num_2_children:    2
heap_trie.num_find_eq:       4
heap_trie.num_find_le:       3
heap_trie.num_find_le_nodes: 13
heap_trie.num_inserts:       3
heap_trie.num_nodes:         9
find_le: 2 1 3  |-> 3 
heap_trie.num_1_children:    4
heap_trie.num_2_children:    2
heap_trie.num_find_eq:       4
heap_trie.num_find_le:       4
heap_trie.num_find_le_nodes: 17
heap_trie.num_inserts:       3
heap_trie.num_nodes:         9
find_le: 2 3 3  |-> 1 3 2 
heap_trie.num_1_children:    4
heap_trie.num_2_children:    2
heap_trie.num_find_eq:       4
heap_trie.num_find_le:       5
heap_trie.num_find_le_nodes: 23
heap_trie.num_inserts:       3
heap_trie.num_nodes:         9
1 refs: 2
 2 refs: 1
  3 refs: 1 value: 1
 1 refs: 1
  3 refs: 1 value: 3
2 refs: 1
 2 refs: 1
  3 refs: 1 value: 2
PASS
(test heap_trie :time 0.01 :before-memory 1465.84 :after-memory 1465.84)
find_le: 1 2 3  |-> 1 3 
heap_trie.num_1_children:    4
heap_trie.num_2_children:    2
heap_trie.num_find_eq:       4
heap_trie.num_find_le:       1
heap_trie.num_find_le_nodes: 4
heap_trie.num_inserts:       3
heap_trie.num_nodes:         9
find_le: 2 2 3  |-> 1 3 2 
heap_trie.num_1_children:    4
heap_trie.num_2_children:    2
heap_trie.num_find_eq:       4
heap_trie.num_find_le:       2
heap_trie.num_find_le_nodes: 10
heap_trie.num_inserts:       3
heap_trie.num_nodes:         9
find_le: 1 1 3  |-> 3 
heap_trie.num_1_children:    4
heap_trie.num_2_children:    2
heap_trie.num_find_eq:       4
heap_trie.num_find_le:       3
heap_trie.num_find_le_nodes: 13
heap_trie.num_inserts:       3
heap_trie.num_nodes:         9
find_le: 2 1 3  |-> 3 
heap_trie.num_1_children:    4
heap_trie.num_2_children:    2
heap_trie.num_find_eq:       4
heap_trie.num_find_le:       4
heap_trie.num_find_le_nodes: 17
heap_trie.num_inserts:       3
heap_trie.num_nodes:         9
find_le: 2 3 3  |-> 1 3 2 
heap_trie.num_1_children:    4
heap_trie.num_2_children:    2
heap_trie.num_find_eq:       4
heap_trie.num_find_le:       5
heap_trie.num_find_le_nodes: 23
heap_trie.num_inserts:       3
heap_trie.num_nodes:         9
1 refs: 2
 2 refs: 1
  3 refs: 1 value: 1
 1 refs: 1
  3 refs: 1 value: 3
2 refs: 1
 2 refs: 1
  3 refs: 1 value: 2
PASS
(test heap_trie :time 0.01 :before-memory 1465.84 :after-memory 1465.84)
ND
1 0  = 0
0 2  = 0
hb.basis_size:            5
hb.index.num_insert:      7
hb.index.size:            7
heap_trie.num_1_children: 17
heap_trie.num_2_children: 2
heap_trie.num_3_children: 1
heap_trie.num_inserts:    7
heap_trie.num_nodes:      27
time: 0.01
hb.basis_size:            3
hb.index.num_insert:      12
hb.index.size:            5
hb.num_saturations:       1
heap_trie.num_1_children: 19
heap_trie.num_2_children: 2
heap_trie.num_inserts:    11
heap_trie.num_nodes:      26
time: 0.01
inequalities:
 + x1 = 0
 + 2*x2 = 0
basis:
1 0 0 0  -> 0
0 0 0 1  -> 0
0 0 0 -1  -> 0
N
0 0  = -1
0 0  = 1
PASS
(test karr :time 0.01 :before-memory 1465.84 :after-memory 1465.86)
ND
1 0  = 0
0 2  = 0
hb.basis_size:            5
hb.index.num_insert:      7
hb.index.size:            7
heap_trie.num_1_children: 17
heap_trie.num_2_children: 2
heap_trie.num_3_children: 1
heap_trie.num_inserts:    7
heap_trie.num_nodes:      27
time: 0.01
hb.basis_size:            3
hb.index.num_insert:      12
hb.index.size:            5
hb.num_saturations:       1
heap_trie.num_1_children: 19
heap_trie.num_2_children: 2
heap_trie.num_inserts:    11
heap_trie.num_nodes:      26
time: 0.01
inequalities:
 + x1 = 0
 + 2*x2 = 0
basis:
1 0 0 0  -> 0
0 0 0 1  -> 0
0 0 0 -1  -> 0
N
0 0  = -1
0 0  = 1
PASS
(test karr :time 0.01 :before-memory 1465.86 :after-memory 1465.87)
PASS
(test no_overflow :time 0.01 :before-memory 1465.87 :after-memory 1465.87)
PASS
(test no_overflow :time 0.01 :before-memory 1465.87 :after-memory 1465.87)
PASS
(test memory :time 0.01 :before-memory 1465.87 :after-memory 1465.87)
PASS
(test memory :time 0.01 :before-memory 1465.87 :after-memory 1465.87)
Expecting colon in declaration (first occurrence of a predicate must be a declaration) at line 2 '' found ','

Parser did not succeed on string

H :- C1(X,a,b), C2(Y,a,X) .
Expecting colon in declaration (first occurrence of a predicate must be a declaration) at line 3 '' found ','

Parser did not succeed on string
N 128

H :- C1(X,a,b), C2(Y,a,X) .
out of memory
Parser did not succeed on string
N 128
I 128

C1(x : N, y : N, z : I)
C2(x : N, y : N, z : N)
H :- C1(X,a,b), C2(Y,a,X) .
Expecting colon in declaration (first occurrence of a predicate must be a declaration) at line 2 '' found ','

Parser did not succeed on string

H :- C1(X,a,b), nC2(Y,a,X) .
Expecting colon in declaration (first occurrence of a predicate must be a declaration) at line 2 '' found ','

Parser did not succeed on string

H :- C1(X,a,b),nC2(Y,a,X).
Expecting colon in declaration (first occurrence of a predicate must be a declaration) at line 2 '' found ','

Parser did not succeed on string

H :- C1(X,a,b),\
C2(Y,a,X).
Expecting colon in declaration (first occurrence of a predicate must be a declaration) at line 2 '' found ','

Parser did not succeed on string

H :- C1(X,a\,\b), C2(Y,a,X) .
PASS
(test datalog_parser :time 177.52 :before-memory 1465.87 :after-memory 3513.87)
Expecting colon in declaration (first occurrence of a predicate must be a declaration) at line 2 '' found ','

Parser did not succeed on string

H :- C1(X,a,b), C2(Y,a,X) .
Expecting colon in declaration (first occurrence of a predicate must be a declaration) at line 3 '' found ','

Parser did not succeed on string
N 128

H :- C1(X,a,b), C2(Y,a,X) .
out of memory
Parser did not succeed on string
N 128
I 128

C1(x : N, y : N, z : I)
C2(x : N, y : N, z : N)
H :- C1(X,a,b), C2(Y,a,X) .
Expecting colon in declaration (first occurrence of a predicate must be a declaration) at line 2 '' found ','

Parser did not succeed on string

H :- C1(X,a,b), nC2(Y,a,X) .
Expecting colon in declaration (first occurrence of a predicate must be a declaration) at line 2 '' found ','

Parser did not succeed on string

H :- C1(X,a,b),nC2(Y,a,X).
Expecting colon in declaration (first occurrence of a predicate must be a declaration) at line 2 '' found ','

Parser did not succeed on string

H :- C1(X,a,b),\
C2(Y,a,X).
Expecting colon in declaration (first occurrence of a predicate must be a declaration) at line 2 '' found ','

Parser did not succeed on string

H :- C1(X,a\,\b), C2(Y,a,X) .
PASS
(test datalog_parser :time 180.80 :before-memory 3513.87 :after-memory 5561.87)
rm -f interval_lemma_* trigo-lemmas.math
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
 fakeroot debian/rules binary-arch
if [ yes = yes ]; then \
	if [ yes = yes ]; then \
		dh binary-arch --parallel --with python2,javahelper,ocaml,cli; \
	else \
		dh binary-arch --parallel --with python2,javahelper,ocaml; \
	fi; \
else \
	dh binary-arch --parallel --with python2,ocaml; \
fi
   dh_testroot -a -O--parallel
   dh_prep -a -O--parallel
   debian/rules override_dh_auto_install
make[1]: Entering directory '/<<PKGBUILDDIR>>'
mkdir -p debian/tmp/usr/lib/python2.7/dist-packages/
dh_auto_install
	make -j4 install DESTDIR=/<<PKGBUILDDIR>>/debian/tmp AM_UPDATE_INFO_DIR=no
make[2]: Entering directory '/<<PKGBUILDDIR>>'
make -C build install
make[3]: Entering directory '/<<PKGBUILDDIR>>/build'
Z3 was successfully installed.
Z3 shared libraries were installed at /<<PKGBUILDDIR>>/debian/tmp/usr/lib, make sure this directory is in your LD_LIBRARY_PATH environment variable.
Z3Py was installed at /<<PKGBUILDDIR>>/debian/tmp/usr/lib/python2.7/dist-packages, make sure this directory is in your PYTHONPATH environment variable.
make[3]: Leaving directory '/<<PKGBUILDDIR>>/build'
make[2]: Leaving directory '/<<PKGBUILDDIR>>'
rm -f debian/tmp/usr/lib/python2.7/dist-packages/libz3.so
ln -s ../../arm-linux-gnueabihf/libz3.so \
	debian/tmp/usr/lib/python2.7/dist-packages/libz3.so
mv debian/tmp/usr/lib/libz3.so debian/tmp/usr/lib/libz3.so.4
ln -s libz3.so.4 debian/tmp/usr/lib/libz3.so
mkdir -p debian/tmp/usr/lib/arm-linux-gnueabihf/jni
mv debian/tmp/usr/lib/libz3java.so* \
	debian/tmp/usr/lib/arm-linux-gnueabihf/jni/
mv debian/tmp/usr/lib/libz3.so* \
	debian/tmp/usr/lib/arm-linux-gnueabihf/
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   debian/rules override_dh_install
make[1]: Entering directory '/<<PKGBUILDDIR>>'
dh_install
cp build/api/ml/*.cmxa debian/libz3-ocaml-dev/usr/lib/ocaml/z3/
cp build/api/ml/*.cmx debian/libz3-ocaml-dev/usr/lib/ocaml/z3/
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   jh_installjavadoc -a -O--parallel
   dh_ocamldoc -a -O--parallel
   dh_installdocs -a -O--parallel
   debian/rules override_dh_installchangelogs
make[1]: Entering directory '/<<PKGBUILDDIR>>'
dh_installchangelogs RELEASE_NOTES
for p in python-z3 libz3-ocaml-dev libz3-cil libz3-java libz3-jni ; do \
	rm -f -rf debian/$p/usr/share/doc/$p/ ; \
	ln -s libz3-dev debian/$p/usr/share/doc/$p || true ; \
done
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   dh_installman -a -O--parallel
   dh_python2 -a -O--parallel
   dh_installinit -a -O--parallel
   dh_perl -a -O--parallel
   dh_link -a -O--parallel
   jh_installlibs -a -O--parallel
   jh_classpath -a -O--parallel
   jh_manifest -a -O--parallel
   jh_exec -a -O--parallel
   jh_depends -a -O--parallel
   dh_strip_nondeterminism -a -O--parallel
   dh_compress -a -O--parallel
   dh_fixperms -a -O--parallel
   dh_clifixperms -a -O--parallel
   dh_missing -a -O--parallel
   dh_strip -a -O--parallel
   dh_makeshlibs -a -O--parallel
   dh_shlibdeps -a -O--parallel
dpkg-shlibdeps: warning: debian/z3/usr/bin/z3 contains an unresolvable reference to symbol __aeabi_atexit@CXXABI_ARM_1.3.3: it's probably a plugin
dpkg-shlibdeps: warning: package could avoid a useless dependency if debian/z3/usr/bin/z3 was not linked against ld-linux-armhf.so.3 (it uses none of the library's symbols)
dpkg-shlibdeps: warning: symbol __aeabi_atexit@CXXABI_ARM_1.3.3 used by debian/libz3-4/usr/lib/arm-linux-gnueabihf/libz3.so.4 found in none of the libraries
   dh_clistrip -a -O--parallel
   dh_cligacpolicy -a -O--parallel
dh_cligacpolicy: Warning! No Build-Depends(-Indep) on cli-common-dev (>= 0.5.7)!
   dh_makeclilibs -a -O--parallel
dh_makeclilibs: debian/libz3-cil/usr/lib/z3/Microsoft.Z3.dll has no signature, ignoring
   dh_installcligac -a -O--parallel
   dh_installcliframework -a -O--parallel
   debian/rules override_dh_clideps
make[1]: Entering directory '/<<PKGBUILDDIR>>'
# dh_clideps fails to find libz3.so automatically
# So we have to depend on libz3-dev manually in d/control
dh_clideps --exclude-moduleref=libz3
make[1]: Leaving directory '/<<PKGBUILDDIR>>'
   dh_installdeb -a -O--parallel
   dh_ocaml -a -O--parallel
   dh_gencontrol -a -O--parallel
dpkg-gencontrol: warning: Depends field of package libz3-cil: substitution variable ${shlibs:Depends} used, but is not defined
dpkg-gencontrol: warning: Depends field of package python-z3: substitution variable ${shlibs:Depends} used, but is not defined
dpkg-gencontrol: warning: package libz3-ocaml-dev: substitution variable ${ocaml:Provides} unused, but is defined
dpkg-gencontrol: warning: package python-z3: substitution variable ${python:Provides} unused, but is defined
dpkg-gencontrol: warning: package python-z3: substitution variable ${python:Versions} unused, but is defined
dpkg-gencontrol: warning: package libz3-ocaml-dev: substitution variable ${ocaml:Provides} unused, but is defined
   dh_md5sums -a -O--parallel
   dh_builddeb -a -O--parallel
dpkg-deb: building package 'z3' in '../z3_4.4.1-1~deb10u1_armhf.deb'.
dpkg-deb: building package 'libz3-java' in '../libz3-java_4.4.1-1~deb10u1_armhf.deb'.
dpkg-deb: building package 'libz3-4-dbgsym' in '../libz3-4-dbgsym_4.4.1-1~deb10u1_armhf.deb'.
dpkg-deb: building package 'libz3-cil' in '../libz3-cil_4.4.1-1~deb10u1_armhf.deb'.
dpkg-deb: building package 'libz3-jni' in '../libz3-jni_4.4.1-1~deb10u1_armhf.deb'.
dpkg-deb: building package 'libz3-ocaml-dev' in '../libz3-ocaml-dev_4.4.1-1~deb10u1_armhf.deb'.
dpkg-deb: building package 'libz3-jni-dbgsym' in '../libz3-jni-dbgsym_4.4.1-1~deb10u1_armhf.deb'.
dpkg-deb: building package 'libz3-ocaml-dev-dbgsym' in '../libz3-ocaml-dev-dbgsym_4.4.1-1~deb10u1_armhf.deb'.
dpkg-deb: building package 'libz3-dev' in '../libz3-dev_4.4.1-1~deb10u1_armhf.deb'.
dpkg-deb: building package 'python-z3' in '../python-z3_4.4.1-1~deb10u1_armhf.deb'.
dpkg-deb: building package 'z3-dbgsym' in '../z3-dbgsym_4.4.1-1~deb10u1_armhf.deb'.
dpkg-deb: building package 'libz3-4' in '../libz3-4_4.4.1-1~deb10u1_armhf.deb'.
 dpkg-genbuildinfo --build=any
 dpkg-genchanges --build=any -mRaspbian wandboard test autobuilder <root@raspbian.org> >../z3_4.4.1-1~deb10u1_armhf.changes
dpkg-genchanges: warning: the current version (4.4.1-1~deb10u1) is earlier than the previous one (4.4.1-1)
dpkg-genchanges: info: binary-only arch-specific upload (source code and arch-indep packages not included)
 dpkg-source --after-build .
dpkg-buildpackage: info: binary-only upload (no source included)
--------------------------------------------------------------------------------
Build finished at 2019-09-08T00:24:16Z

Finished
--------

I: Built successfully

+------------------------------------------------------------------------------+
| Post Build Chroot                                                            |
+------------------------------------------------------------------------------+


+------------------------------------------------------------------------------+
| Changes                                                                      |
+------------------------------------------------------------------------------+


z3_4.4.1-1~deb10u1_armhf.changes:
---------------------------------

Format: 1.8
Date: Sat, 24 Aug 2019 12:18:35 +0200
Source: z3
Binary: libz3-4 libz3-4-dbgsym libz3-cil libz3-dev libz3-java libz3-jni libz3-jni-dbgsym libz3-ocaml-dev libz3-ocaml-dev-dbgsym python-z3 z3 z3-dbgsym
Architecture: armhf
Version: 4.4.1-1~deb10u1
Distribution: buster-staging
Urgency: medium
Maintainer: Raspbian wandboard test autobuilder <root@raspbian.org>
Changed-By: Andreas Beckmann <anbe@debian.org>
Description:
 libz3-4    - theorem prover from Microsoft Research - runtime libraries
 libz3-cil  - theorem prover from Microsoft Research - CLI bindings
 libz3-dev  - theorem prover from Microsoft Research - development files
 libz3-java - theorem prover from Microsoft Research - java bindings
 libz3-jni  - theorem prover from Microsoft Research - JNI library
 libz3-ocaml-dev - theorem prover from Microsoft Research - OCaml bindings
 python-z3  - theorem prover from Microsoft Research - Python bindings
 z3         - theorem prover from Microsoft Research
Changes:
 z3 (4.4.1-1~deb10u1) buster; urgency=medium
 .
   * Non-maintainer upload.
   * Rebuild for buster.
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 b09951f4fdac9952f159d88953859ce7 146372 java optional libz3-java_4.4.1-1~deb10u1_armhf.deb
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 dbe707cf5c13f0d75dba4e4f3ae9e2ff 209628 debug optional libz3-ocaml-dev-dbgsym_4.4.1-1~deb10u1_armhf.deb
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 bbb31aed983da34083baa72b7b9e3d1b 3853536 science optional z3_4.4.1-1~deb10u1_armhf.deb

+------------------------------------------------------------------------------+
| Package contents                                                             |
+------------------------------------------------------------------------------+


libz3-4-dbgsym_4.4.1-1~deb10u1_armhf.deb
----------------------------------------

 new Debian package, version 2.0.
 size 94292164 bytes: control archive=560 bytes.
     387 bytes,    13 lines      control              
     106 bytes,     1 lines      md5sums              
 Package: libz3-4-dbgsym
 Source: z3
 Version: 4.4.1-1~deb10u1
 Auto-Built-Package: debug-symbols
 Architecture: armhf
 Maintainer: LLVM Packaging Team <pkg-llvm-team@lists.alioth.debian.org>
 Installed-Size: 95092
 Depends: libz3-4 (= 4.4.1-1~deb10u1)
 Section: debug
 Priority: optional
 Multi-Arch: same
 Description: debug symbols for libz3-4
 Build-Ids: 2a7287c5ffca891dda195a532e92feabfb65d272

drwxr-xr-x root/root         0 2019-08-24 10:18 ./
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/debug/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/debug/.build-id/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/debug/.build-id/2a/
-rw-r--r-- root/root  97363396 2019-08-24 10:18 ./usr/lib/debug/.build-id/2a/7287c5ffca891dda195a532e92feabfb65d272.debug
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/doc/
lrwxrwxrwx root/root         0 2019-08-24 10:18 ./usr/share/doc/libz3-4-dbgsym -> libz3-4


libz3-4_4.4.1-1~deb10u1_armhf.deb
---------------------------------

 new Debian package, version 2.0.
 size 3915688 bytes: control archive=1052 bytes.
     877 bytes,    22 lines      control              
     284 bytes,     4 lines      md5sums              
      16 bytes,     1 lines      shlibs               
      67 bytes,     2 lines      triggers             
 Package: libz3-4
 Source: z3
 Version: 4.4.1-1~deb10u1
 Architecture: armhf
 Maintainer: LLVM Packaging Team <pkg-llvm-team@lists.alioth.debian.org>
 Installed-Size: 13720
 Depends: libc6 (>= 2.4), libgcc1 (>= 1:3.5), libgomp1 (>= 4.9), libstdc++6 (>= 5.2)
 Breaks: libz3-dev (<< 4.4.1)
 Replaces: libz3-dev (<< 4.4.1)
 Section: libs
 Priority: optional
 Multi-Arch: same
 Homepage: https://github.com/Z3Prover/z3
 Description: theorem prover from Microsoft Research - runtime libraries
  Z3 is a state-of-the art theorem prover from Microsoft Research. It can be
  used to check the satisfiability of logical formulas over one or more
  theories. Z3 offers a compelling match for software analysis and verification
  tools, since several common software constructs map directly into supported
  theories.
  .
  This package contains runtime libraries. You shouldn't have to install it
  manually.

drwxr-xr-x root/root         0 2019-08-24 10:18 ./
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/arm-linux-gnueabihf/
-rw-r--r-- root/root  14019160 2019-08-24 10:18 ./usr/lib/arm-linux-gnueabihf/libz3.so.4
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/doc/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/doc/libz3-4/
-rw-r--r-- root/root      2161 2019-08-24 10:18 ./usr/share/doc/libz3-4/changelog.Debian.gz
-rw-r--r-- root/root     12885 2015-10-05 12:07 ./usr/share/doc/libz3-4/changelog.gz
-rw-r--r-- root/root      2131 2019-08-24 10:18 ./usr/share/doc/libz3-4/copyright


libz3-cil_4.4.1-1~deb10u1_armhf.deb
-----------------------------------

 new Debian package, version 2.0.
 size 40652 bytes: control archive=940 bytes.
     612 bytes,    15 lines      control              
     131 bytes,     2 lines      md5sums              
     363 bytes,    21 lines   *  preinst              #!/bin/sh
 Package: libz3-cil
 Source: z3
 Version: 4.4.1-1~deb10u1
 Architecture: armhf
 Maintainer: LLVM Packaging Team <pkg-llvm-team@lists.alioth.debian.org>
 Installed-Size: 206
 Depends: libz3-dev (= 4.4.1-1~deb10u1), libmono-corlib4.5-cil (>= 5.18.0.240), libmono-system-numerics4.0-cil (>= 5.16.0.220)
 Section: cli-mono
 Priority: optional
 Homepage: https://github.com/Z3Prover/z3
 Description: theorem prover from Microsoft Research - CLI bindings
  Z3 is a state-of-the art theorem prover from Microsoft Research. See the z3
  package for a detailed description.
  .
  This package can be used to invoke Z3 via its .NET API.

drwxr-xr-x root/root         0 2019-08-24 10:18 ./
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/z3/
-rw-r--r-- root/root    200704 2019-08-24 10:18 ./usr/lib/z3/Microsoft.Z3.dll
-rw-r--r-- root/root       118 2019-08-24 10:18 ./usr/lib/z3/Microsoft.Z3.dll.config
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/doc/
lrwxrwxrwx root/root         0 2019-08-24 10:18 ./usr/share/doc/libz3-cil -> libz3-dev


libz3-dev_4.4.1-1~deb10u1_armhf.deb
-----------------------------------

 new Debian package, version 2.0.
 size 79652 bytes: control archive=1112 bytes.
     744 bytes,    19 lines      control              
     779 bytes,    13 lines      md5sums              
 Package: libz3-dev
 Source: z3
 Version: 4.4.1-1~deb10u1
 Architecture: armhf
 Maintainer: LLVM Packaging Team <pkg-llvm-team@lists.alioth.debian.org>
 Installed-Size: 455
 Depends: libz3-4 (= 4.4.1-1~deb10u1)
 Section: libdevel
 Priority: optional
 Multi-Arch: same
 Homepage: https://github.com/Z3Prover/z3
 Description: theorem prover from Microsoft Research - development files
  Z3 is a state-of-the art theorem prover from Microsoft Research. It can be
  used to check the satisfiability of logical formulas over one or more
  theories. Z3 offers a compelling match for software analysis and verification
  tools, since several common software constructs map directly into supported
  theories.
  .
  This package can be used to invoke Z3 via its C++ API.

drwxr-xr-x root/root         0 2019-08-24 10:18 ./
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/include/
-rw-r--r-- root/root     86455 2019-08-24 10:18 ./usr/include/z3++.h
-rw-r--r-- root/root       405 2019-08-24 10:18 ./usr/include/z3.h
-rw-r--r-- root/root      6840 2019-08-24 10:18 ./usr/include/z3_algebraic.h
-rw-r--r-- root/root    285349 2019-08-24 10:18 ./usr/include/z3_api.h
-rw-r--r-- root/root     30600 2019-08-24 10:18 ./usr/include/z3_fpa.h
-rw-r--r-- root/root     11919 2019-08-24 10:18 ./usr/include/z3_interp.h
-rw-r--r-- root/root       506 2019-08-24 10:18 ./usr/include/z3_macros.h
-rw-r--r-- root/root      1136 2019-08-24 10:18 ./usr/include/z3_polynomial.h
-rw-r--r-- root/root      5942 2019-08-24 10:18 ./usr/include/z3_rcf.h
-rw-r--r-- root/root      2243 2019-08-24 10:18 ./usr/include/z3_v1.h
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/arm-linux-gnueabihf/
lrwxrwxrwx root/root         0 2019-08-24 10:18 ./usr/lib/arm-linux-gnueabihf/libz3.so -> libz3.so.4
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/doc/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/doc/libz3-dev/
-rw-r--r-- root/root      2161 2019-08-24 10:18 ./usr/share/doc/libz3-dev/changelog.Debian.gz
-rw-r--r-- root/root     12885 2015-10-05 12:07 ./usr/share/doc/libz3-dev/changelog.gz
-rw-r--r-- root/root      2131 2019-08-24 10:18 ./usr/share/doc/libz3-dev/copyright


libz3-java_4.4.1-1~deb10u1_armhf.deb
------------------------------------

 new Debian package, version 2.0.
 size 146372 bytes: control archive=880 bytes.
     590 bytes,    16 lines      control              
      70 bytes,     1 lines      md5sums              
     364 bytes,    21 lines   *  preinst              #!/bin/sh
 Package: libz3-java
 Source: z3
 Version: 4.4.1-1~deb10u1
 Architecture: armhf
 Maintainer: LLVM Packaging Team <pkg-llvm-team@lists.alioth.debian.org>
 Installed-Size: 167
 Depends: libz3-jni (>= 4.4.1-1~deb10u1), libz3-jni (<< 4.4.1-1~deb10u1.1~), libz3-dev
 Section: java
 Priority: optional
 Multi-Arch: foreign
 Homepage: https://github.com/Z3Prover/z3
 Description: theorem prover from Microsoft Research - java bindings
  Z3 is a state-of-the art theorem prover from Microsoft Research. See the z3
  package for a detailed description.
  .
  This package can be used to invoke Z3 via its Java API.

drwxr-xr-x root/root         0 2019-08-24 10:18 ./
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/doc/
lrwxrwxrwx root/root         0 2019-08-24 10:18 ./usr/share/doc/libz3-java -> libz3-dev
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/java/
-rw-r--r-- root/root    162155 2019-08-24 10:18 ./usr/share/java/com.microsoft.z3.jar


libz3-jni-dbgsym_4.4.1-1~deb10u1_armhf.deb
------------------------------------------

 new Debian package, version 2.0.
 size 172056 bytes: control archive=556 bytes.
     391 bytes,    13 lines      control              
     106 bytes,     1 lines      md5sums              
 Package: libz3-jni-dbgsym
 Source: z3
 Version: 4.4.1-1~deb10u1
 Auto-Built-Package: debug-symbols
 Architecture: armhf
 Maintainer: LLVM Packaging Team <pkg-llvm-team@lists.alioth.debian.org>
 Installed-Size: 236
 Depends: libz3-jni (= 4.4.1-1~deb10u1)
 Section: debug
 Priority: optional
 Multi-Arch: same
 Description: debug symbols for libz3-jni
 Build-Ids: 0b5fe649da19fe470f92c24789c6e1690f86070e

drwxr-xr-x root/root         0 2019-08-24 10:18 ./
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/debug/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/debug/.build-id/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/debug/.build-id/0b/
-rw-r--r-- root/root    231340 2019-08-24 10:18 ./usr/lib/debug/.build-id/0b/5fe649da19fe470f92c24789c6e1690f86070e.debug
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/doc/
lrwxrwxrwx root/root         0 2019-08-24 10:18 ./usr/share/doc/libz3-jni-dbgsym -> libz3-jni


libz3-jni_4.4.1-1~deb10u1_armhf.deb
-----------------------------------

 new Debian package, version 2.0.
 size 26968 bytes: control archive=916 bytes.
     616 bytes,    16 lines      control              
      79 bytes,     1 lines      md5sums              
     363 bytes,    21 lines   *  preinst              #!/bin/sh
 Package: libz3-jni
 Source: z3
 Version: 4.4.1-1~deb10u1
 Architecture: armhf
 Maintainer: LLVM Packaging Team <pkg-llvm-team@lists.alioth.debian.org>
 Installed-Size: 144
 Depends: libz3-dev (= 4.4.1-1~deb10u1), libc6 (>= 2.4), libgcc1 (>= 1:3.5), libstdc++6 (>= 4.9), libz3-4
 Section: java
 Priority: optional
 Multi-Arch: same
 Homepage: https://github.com/Z3Prover/z3
 Description: theorem prover from Microsoft Research - JNI library
  Z3 is a state-of-the art theorem prover from Microsoft Research. See the z3
  package for a detailed description.
  .
  This package provides the JNI library to invoke Z3 via its Java API.

drwxr-xr-x root/root         0 2019-08-24 10:18 ./
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/arm-linux-gnueabihf/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/arm-linux-gnueabihf/jni/
-rw-r--r-- root/root    136504 2019-08-24 10:18 ./usr/lib/arm-linux-gnueabihf/jni/libz3java.so
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/doc/
lrwxrwxrwx root/root         0 2019-08-24 10:18 ./usr/share/doc/libz3-jni -> libz3-dev


libz3-ocaml-dev-dbgsym_4.4.1-1~deb10u1_armhf.deb
------------------------------------------------

 new Debian package, version 2.0.
 size 209628 bytes: control archive=548 bytes.
     392 bytes,    12 lines      control              
     106 bytes,     1 lines      md5sums              
 Package: libz3-ocaml-dev-dbgsym
 Source: z3
 Version: 4.4.1-1~deb10u1
 Auto-Built-Package: debug-symbols
 Architecture: armhf
 Maintainer: LLVM Packaging Team <pkg-llvm-team@lists.alioth.debian.org>
 Installed-Size: 272
 Depends: libz3-ocaml-dev (= 4.4.1-1~deb10u1)
 Section: debug
 Priority: optional
 Description: debug symbols for libz3-ocaml-dev
 Build-Ids: c7e210f597e2c7be8363af22256c10e36c06551c

drwxr-xr-x root/root         0 2019-08-24 10:18 ./
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/debug/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/debug/.build-id/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/debug/.build-id/c7/
-rw-r--r-- root/root    267992 2019-08-24 10:18 ./usr/lib/debug/.build-id/c7/e210f597e2c7be8363af22256c10e36c06551c.debug
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/doc/
lrwxrwxrwx root/root         0 2019-08-24 10:18 ./usr/share/doc/libz3-ocaml-dev-dbgsym -> libz3-ocaml-dev


libz3-ocaml-dev_4.4.1-1~deb10u1_armhf.deb
-----------------------------------------

 new Debian package, version 2.0.
 size 523036 bytes: control archive=1528 bytes.
     601 bytes,    16 lines      control              
    1684 bytes,    27 lines      md5sums              
     369 bytes,    21 lines   *  preinst              #!/bin/sh
 Package: libz3-ocaml-dev
 Source: z3
 Version: 4.4.1-1~deb10u1
 Architecture: armhf
 Maintainer: LLVM Packaging Team <pkg-llvm-team@lists.alioth.debian.org>
 Installed-Size: 4678
 Depends: libz3-dev (= 4.4.1-1~deb10u1), ocaml-nox-4.05.0, libc6 (>= 2.4), libz3-4
 Recommends: ocaml-findlib
 Section: ocaml
 Priority: optional
 Homepage: https://github.com/Z3Prover/z3
 Description: theorem prover from Microsoft Research - OCaml bindings
  Z3 is a state-of-the art theorem prover from Microsoft Research. See the z3
  package for a detailed description.
  .
  This package can be used to invoke Z3 via its OCaml API.

drwxr-xr-x root/root         0 2019-08-24 10:18 ./
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/ocaml/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/ocaml/z3/
-rw-r--r-- root/root       343 2019-08-24 10:18 ./usr/lib/ocaml/z3/META
-rw-r--r-- root/root    197920 2019-08-24 10:18 ./usr/lib/ocaml/z3/dllz3ml.so
-rw-r--r-- root/root    250314 2019-08-24 10:18 ./usr/lib/ocaml/z3/libz3ml.a
-rw-r--r-- root/root        42 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3.cma
-rw-r--r-- root/root     84243 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3.cmi
-rw-r--r-- root/root     40992 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3.cmx
-rw-r--r-- root/root    149160 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3.ml
-rw-r--r-- root/root    128771 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3.mli
-rw-r--r-- root/root    464688 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3.o
-rw-r--r-- root/root        42 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3enums.cma
-rw-r--r-- root/root      8891 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3enums.cmi
-rw-r--r-- root/root      1186 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3enums.cmx
-rw-r--r-- root/root     19516 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3enums.ml
-rw-r--r-- root/root      6503 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3enums.mli
-rw-r--r-- root/root     11768 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3enums.o
-rw-r--r-- root/root   1086192 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3ml.a
-rw-r--r-- root/root    302246 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3ml.cma
-rw-r--r-- root/root      1192 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3ml.cmxa
-rw-r--r-- root/root        42 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3native.cma
-rw-r--r-- root/root     80084 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3native.cmi
-rw-r--r-- root/root     28045 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3native.cmx
-rw-r--r-- root/root    236481 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3native.ml
-rw-r--r-- root/root     40560 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3native.mli
-rw-r--r-- root/root    557380 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3native.o
-rw-r--r-- root/root   1060264 2019-08-24 10:18 ./usr/lib/ocaml/z3/z3native_stubs.o
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/doc/
lrwxrwxrwx root/root         0 2019-08-24 10:18 ./usr/share/doc/libz3-ocaml-dev -> libz3-dev
drwxr-xr-x root/root         0 2019-08-24 10:18 ./var/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./var/lib/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./var/lib/ocaml/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./var/lib/ocaml/lintian/
-rw-r--r-- root/root       510 2019-08-24 10:18 ./var/lib/ocaml/lintian/libz3-ocaml-dev.info
drwxr-xr-x root/root         0 2019-08-24 10:18 ./var/lib/ocaml/md5sums/
-rw-r--r-- root/root       478 2019-08-24 10:18 ./var/lib/ocaml/md5sums/libz3-ocaml-dev.md5sums


python-z3_4.4.1-1~deb10u1_armhf.deb
-----------------------------------

 new Debian package, version 2.0.
 size 67028 bytes: control archive=1340 bytes.
     571 bytes,    15 lines      control              
     760 bytes,    10 lines      md5sums              
     159 bytes,     9 lines   *  postinst             #!/bin/sh
     363 bytes,    21 lines   *  preinst              #!/bin/sh
     257 bytes,    14 lines   *  prerm                #!/bin/sh
 Package: python-z3
 Source: z3
 Version: 4.4.1-1~deb10u1
 Architecture: armhf
 Maintainer: LLVM Packaging Team <pkg-llvm-team@lists.alioth.debian.org>
 Installed-Size: 541
 Depends: libz3-dev (= 4.4.1-1~deb10u1), python:any (<< 2.8), python:any (>= 2.7~)
 Section: python
 Priority: optional
 Homepage: https://github.com/Z3Prover/z3
 Description: theorem prover from Microsoft Research - Python bindings
  Z3 is a state-of-the art theorem prover from Microsoft Research. See the z3
  package for a detailed description.
  .
  This package can be used to invoke Z3 via its Python API.

drwxr-xr-x root/root         0 2019-08-24 10:18 ./
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/python2.7/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/python2.7/dist-packages/
lrwxrwxrwx root/root         0 2019-08-24 10:18 ./usr/lib/python2.7/dist-packages/libz3.so -> ../../arm-linux-gnueabihf/libz3.so
-rw-r--r-- root/root    257804 2019-08-24 10:18 ./usr/lib/python2.7/dist-packages/z3.py
-rw-r--r-- root/root      6079 2019-08-24 10:18 ./usr/lib/python2.7/dist-packages/z3consts.py
-rw-r--r-- root/root    193984 2019-08-24 10:18 ./usr/lib/python2.7/dist-packages/z3core.py
-rw-r--r-- root/root     16124 2019-08-24 10:18 ./usr/lib/python2.7/dist-packages/z3num.py
-rw-r--r-- root/root      1129 2019-08-24 10:18 ./usr/lib/python2.7/dist-packages/z3poly.py
-rw-r--r-- root/root     40207 2019-08-24 10:18 ./usr/lib/python2.7/dist-packages/z3printer.py
-rw-r--r-- root/root      5096 2019-08-24 10:18 ./usr/lib/python2.7/dist-packages/z3rcf.py
-rw-r--r-- root/root       274 2019-08-24 10:18 ./usr/lib/python2.7/dist-packages/z3test.py
-rw-r--r-- root/root      3831 2019-08-24 10:18 ./usr/lib/python2.7/dist-packages/z3types.py
-rw-r--r-- root/root     11425 2019-08-24 10:18 ./usr/lib/python2.7/dist-packages/z3util.py
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/doc/
lrwxrwxrwx root/root         0 2019-08-24 10:18 ./usr/share/doc/python-z3 -> libz3-dev


z3-dbgsym_4.4.1-1~deb10u1_armhf.deb
-----------------------------------

 new Debian package, version 2.0.
 size 95215796 bytes: control archive=536 bytes.
     355 bytes,    12 lines      control              
     106 bytes,     1 lines      md5sums              
 Package: z3-dbgsym
 Source: z3
 Version: 4.4.1-1~deb10u1
 Auto-Built-Package: debug-symbols
 Architecture: armhf
 Maintainer: LLVM Packaging Team <pkg-llvm-team@lists.alioth.debian.org>
 Installed-Size: 95994
 Depends: z3 (= 4.4.1-1~deb10u1)
 Section: debug
 Priority: optional
 Description: debug symbols for z3
 Build-Ids: 2ea79c052566b272f8b7dc7007a49ca2a7544411

drwxr-xr-x root/root         0 2019-08-24 10:18 ./
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/debug/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/debug/.build-id/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/lib/debug/.build-id/2e/
-rw-r--r-- root/root  98286696 2019-08-24 10:18 ./usr/lib/debug/.build-id/2e/a79c052566b272f8b7dc7007a49ca2a7544411.debug
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/doc/
lrwxrwxrwx root/root         0 2019-08-24 10:18 ./usr/share/doc/z3-dbgsym -> z3


z3_4.4.1-1~deb10u1_armhf.deb
----------------------------

 new Debian package, version 2.0.
 size 3853536 bytes: control archive=952 bytes.
     767 bytes,    18 lines      control              
     360 bytes,     6 lines      md5sums              
 Package: z3
 Version: 4.4.1-1~deb10u1
 Architecture: armhf
 Maintainer: LLVM Packaging Team <pkg-llvm-team@lists.alioth.debian.org>
 Installed-Size: 13223
 Depends: libc6 (>= 2.4), libgcc1 (>= 1:3.5), libgomp1 (>= 4.9), libstdc++6 (>= 5.2)
 Section: science
 Priority: optional
 Homepage: https://github.com/Z3Prover/z3
 Description: theorem prover from Microsoft Research
  Z3 is a state-of-the art theorem prover from Microsoft Research. It can be
  used to check the satisfiability of logical formulas over one or more
  theories. Z3 offers a compelling match for software analysis and verification
  tools, since several common software constructs map directly into supported
  theories.
  .
  The Z3 input format is an extension of the one defined by the SMT-LIB 2.0
  standard.

drwxr-xr-x root/root         0 2019-08-24 10:18 ./
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/bin/
-rwxr-xr-x root/root  13507328 2019-08-24 10:18 ./usr/bin/z3
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/doc/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/doc/z3/
-rw-r--r-- root/root      1384 2015-10-05 12:07 ./usr/share/doc/z3/README
-rw-r--r-- root/root      2161 2019-08-24 10:18 ./usr/share/doc/z3/changelog.Debian.gz
-rw-r--r-- root/root     12885 2015-10-05 12:07 ./usr/share/doc/z3/changelog.gz
-rw-r--r-- root/root      2131 2019-08-24 10:18 ./usr/share/doc/z3/copyright
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/man/
drwxr-xr-x root/root         0 2019-08-24 10:18 ./usr/share/man/man1/
-rw-r--r-- root/root      1389 2019-08-24 10:18 ./usr/share/man/man1/z3.1.gz


+------------------------------------------------------------------------------+
| Post Build                                                                   |
+------------------------------------------------------------------------------+


+------------------------------------------------------------------------------+
| Cleanup                                                                      |
+------------------------------------------------------------------------------+

Purging /<<BUILDDIR>>
Not cleaning session: cloned chroot in use

+------------------------------------------------------------------------------+
| Summary                                                                      |
+------------------------------------------------------------------------------+

Build Architecture: armhf
Build-Space: 3092000
Build-Time: 8529
Distribution: buster-staging
Host Architecture: armhf
Install-Time: 3935
Job: z3_4.4.1-1~deb10u1
Machine Architecture: armhf
Package: z3
Package-Time: 12526
Source-Version: 4.4.1-1~deb10u1
Space: 3092000
Status: successful
Version: 4.4.1-1~deb10u1
--------------------------------------------------------------------------------
Finished at 2019-09-08T00:24:16Z
Build needed 03:28:46, 3092000k disc space
Raspbian Package Auto-Building

Build log for z3 (4.4.1-1~deb10u1) on armhf
