Raspbian Package Auto-Building

Build log for z3 (4.4.1-0.3+b1) on armhf

z34.4.1-0.3+b1armhf → 2018-01-08 00:09:10

sbuild (Debian sbuild) 0.72.0 (25 Oct 2016) on mb-lxc-02

+==============================================================================+
| z3 4.4.1-0.3+b1 (armhf)                      Sun, 07 Jan 2018 23:15:31 +0000 |
+==============================================================================+

Package: z3
Version: 4.4.1-0.3+b1
Source Version: 4.4.1-0.3
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-1799adae-261e-439a-800f-cf414e299c0b' 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 [10.5 MB]
Get:3 http://172.17.0.1/private buster-staging/main armhf Packages [12.2 MB]
Fetched 22.8 MB in 8s (2836 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...
Need to get 3364 kB of source archives.
Get:1 http://172.17.0.1/private buster-staging/main z3 4.4.1-0.3 (dsc) [2787 B]
Get:2 http://172.17.0.1/private buster-staging/main z3 4.4.1-0.3 (tar) [3347 kB]
Get:3 http://172.17.0.1/private buster-staging/main z3 4.4.1-0.3 (diff) [14.3 kB]
Fetched 3364 kB in 0s (4471 kB/s)
Download complete and in download only mode
I: NOTICE: Log filtering will replace 'build/z3-3FeKVZ/z3-4.4.1' with '<<PKGBUILDDIR>>'
I: NOTICE: Log filtering will replace 'build/z3-3FeKVZ' 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-MALGch/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-MALGch/gpg/pubring.kbx' created
gpg: /<<BUILDDIR>>/resolver-MALGch/gpg/trustdb.gpg: trustdb created
gpg: key 37145E60F90AF620: 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 37145E60F90AF620: "Sbuild Signer (Sbuild Build Dependency Archive Key) <buildd-tools-devel@lists.alioth.debian.org>" not changed
gpg: key 37145E60F90AF620: 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-MALGch/apt_archive ./ InRelease
Get:2 copy:/<<BUILDDIR>>/resolver-MALGch/apt_archive ./ Release [957 B]
Get:3 copy:/<<BUILDDIR>>/resolver-MALGch/apt_archive ./ Release.gpg [370 B]
Get:4 copy:/<<BUILDDIR>>/resolver-MALGch/apt_archive ./ Sources [349 B]
Get:5 copy:/<<BUILDDIR>>/resolver-MALGch/apt_archive ./ Packages [428 B]
Fetched 2104 B in 0s (7207 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 e2fsprogs-l10n file libmagic-mgc libmagic1 libsasl2-modules
  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 16 not upgraded.
Need to get 848 B of archives.
After this operation, 0 B of additional disk space will be used.
Get:1 copy:/<<BUILDDIR>>/resolver-MALGch/apt_archive ./ sbuild-build-depends-core-dummy 0.invalid.0 [848 B]
debconf: delaying package configuration, since apt-utils is not installed
Fetched 848 B in 0s (40.5 kB/s)
Selecting previously unselected package sbuild-build-depends-core-dummy.
(Reading database ... 16237 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-MALGch/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-MALGch/apt_archive ./ InRelease
Get:2 copy:/<<BUILDDIR>>/resolver-MALGch/apt_archive ./ Release [963 B]
Get:3 copy:/<<BUILDDIR>>/resolver-MALGch/apt_archive ./ Release.gpg [370 B]
Get:4 copy:/<<BUILDDIR>>/resolver-MALGch/apt_archive ./ Sources [635 B]
Get:5 copy:/<<BUILDDIR>>/resolver-MALGch/apt_archive ./ Packages [637 B]
Fetched 2605 B in 0s (8834 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:
  e2fsprogs-l10n libsasl2-modules
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 cgmanager cli-common cli-common-dev dbus
  dbus-user-session dconf-gsettings-backend dconf-service dctrl-tools
  debhelper default-jdk default-jdk-headless default-jre default-jre-headless
  devscripts dh-autoreconf dh-ocaml dh-strip-nondeterminism fontconfig
  fontconfig-config fonts-dejavu-core gettext gettext-base glib-networking
  glib-networking-common glib-networking-services gnome-icon-theme groff-base
  gsettings-desktop-schemas gtk-update-icon-cache hicolor-icon-theme
  intltool-debian java-common javahelper libarchive-zip-perl libasound2
  libasound2-data libasyncns0 libatk-bridge2.0-0 libatk-wrapper-java
  libatk-wrapper-java-jni libatk1.0-0 libatk1.0-data libatspi2.0-0
  libavahi-client3 libavahi-common-data libavahi-common3 libbsd0
  libcairo-gobject2 libcairo2 libcgmanager0 libcolord2 libcroco3 libcups2
  libdatrie1 libdconf1 libdrm-amdgpu1 libdrm-etnaviv1 libdrm-freedreno1
  libdrm-nouveau2 libdrm-radeon1 libedit2 libelf1 libencode-locale-perl
  libepoxy0 libexif12 libfile-homedir-perl libfile-listing-perl
  libfile-stripnondeterminism-perl libfile-which-perl libflac8 libfontconfig1
  libfontenc1 libfreetype6 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 libgtk-3-0 libgtk-3-common 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 libice6 libicu57 libio-html-perl
  libio-socket-ssl-perl libjbig0 libjpeg62-turbo libjson-glib-1.0-0
  libjson-glib-1.0-common libk5crypto3 libkeyutils1 libkrb5-3 libkrb5support0
  liblcms2-2 libllvm5.0 liblwp-mediatypes-perl liblwp-protocol-https-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-interopservices-runtimeinformation4.0-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 libncurses5-dev libnet-http-perl
  libnet-ssleay-perl libnih-dbus1 libnih1 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 libogg0 libpam-systemd libpango-1.0-0
  libpangocairo-1.0-0 libpangoft2-1.0-0 libpcsclite1 libpipeline1
  libpixman-1-0 libproxy1v5 libpulse0 libpython-stdlib libpython2.7-minimal
  libpython2.7-stdlib librest-0.7-0 librsvg2-2 librsvg2-common libsensors4
  libsigsegv2 libsm6 libsndfile1 libsoup-gnome2.4-1 libsoup2.4-1 libsystemd0
  libthai-data libthai0 libtiff5 libtimedate-perl libtinfo-dev libtool
  libtry-tiny-perl liburi-perl libvorbis0a libvorbisenc2 libwrap0 libwww-perl
  libwww-robotrules-perl libx11-6 libx11-data libx11-xcb1 libxau6 libxaw7
  libxcb-dri2-0 libxcb-dri3-0 libxcb-glx0 libxcb-present0 libxcb-render0
  libxcb-shape0 libxcb-shm0 libxcb-sync1 libxcb-xfixes0 libxcb1 libxcomposite1
  libxcursor1 libxdamage1 libxdmcp6 libxext6 libxfixes3 libxft2 libxi6
  libxinerama1 libxml-dom-perl libxml-parser-perl libxml-perl
  libxml-regexp-perl libxml2 libxmu6 libxmuu1 libxpm4 libxrandr2 libxrender1
  libxshmfence1 libxt6 libxtst6 libxv1 libxxf86dga1 libxxf86vm1 m4 man-db
  mono-4.0-gac mono-devel mono-gac mono-mcs mono-runtime mono-runtime-common
  mono-runtime-sgen mono-utils mono-xbuild netbase ocaml-base-nox
  ocaml-compiler-libs ocaml-interp ocaml-nox openjdk-8-jdk
  openjdk-8-jdk-headless openjdk-8-jre openjdk-8-jre-headless
  perl-openssl-defaults pkg-config po-debconf python python-minimal python2.7
  python2.7-minimal shared-mime-info systemd systemd-shim ucf x11-common
  x11-utils
Suggested packages:
  autoconf-archive gnu-standards autoconf-doc wamerican | wordlist whois
  vacation debtags dh-make dwz 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 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 cvs gawk tofrodos
  libasound2-plugins alsa-utils colord 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 pcscd pulseaudio librsvg2-bin
  lm-sensors libtool-doc gfortran | fortran95-compiler gcj-jdk
  libauthen-ntlm-perl m4-doc less www-browser apparmor xdg-utils | libgnome2-0
  | konqueror ocaml-doc tuareg-mode | ocaml-mode openjdk-8-demo
  openjdk-8-source visualvm icedtea-8-plugin 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
  python2.7-doc binfmt-support systemd-container policykit-1 pm-utils
  mesa-utils
Recommended packages:
  systemd-sysv default-java-plugin at dput | dupload libdistro-info-perl
  libgit-wrapper-perl liblist-compare-perl licensecheck lintian patchutils
  python3-apt python3-debian python3-magic python3-requests python3-unidiff
  python3-xdg strace unzip wdiff wget | curl debian-keyring equivs
  libsoap-lite-perl curl | wget | lynx-cur at-spi2-core libarchive-cpio-perl
  libgdk-pixbuf2.0-bin libtxc-dxtn-s2tc | libtxc-dxtn-s2tc0 | libtxc-dxtn0
  libglib2.0-data xdg-user-dirs libgtk-3-bin libgail-common libgtk2.0-bin
  libhtml-format-perl krb5-locales ca-certificates-mono libgluezilla
  libltdl-dev libdata-dump-perl libhtml-form-perl libhttp-daemon-perl
  libmailtools-perl mono-csharp-shell binfmt-support ledit | readline-editor
  camlp4 libxt-dev 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 cgmanager cli-common cli-common-dev dbus
  dbus-user-session dconf-gsettings-backend dconf-service dctrl-tools
  debhelper default-jdk default-jdk-headless default-jre default-jre-headless
  devscripts dh-autoreconf dh-ocaml dh-strip-nondeterminism fontconfig
  fontconfig-config fonts-dejavu-core gettext gettext-base glib-networking
  glib-networking-common glib-networking-services gnome-icon-theme groff-base
  gsettings-desktop-schemas gtk-update-icon-cache hicolor-icon-theme
  intltool-debian java-common javahelper libarchive-zip-perl libasound2
  libasound2-data libasyncns0 libatk-bridge2.0-0 libatk-wrapper-java
  libatk-wrapper-java-jni libatk1.0-0 libatk1.0-data libatspi2.0-0
  libavahi-client3 libavahi-common-data libavahi-common3 libbsd0
  libcairo-gobject2 libcairo2 libcgmanager0 libcolord2 libcroco3 libcups2
  libdatrie1 libdconf1 libdrm-amdgpu1 libdrm-etnaviv1 libdrm-freedreno1
  libdrm-nouveau2 libdrm-radeon1 libedit2 libelf1 libencode-locale-perl
  libepoxy0 libexif12 libfile-homedir-perl libfile-listing-perl
  libfile-stripnondeterminism-perl libfile-which-perl libflac8 libfontconfig1
  libfontenc1 libfreetype6 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 libgtk-3-0 libgtk-3-common 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 libice6 libicu57 libio-html-perl
  libio-socket-ssl-perl libjbig0 libjpeg62-turbo libjson-glib-1.0-0
  libjson-glib-1.0-common libk5crypto3 libkeyutils1 libkrb5-3 libkrb5support0
  liblcms2-2 libllvm5.0 liblwp-mediatypes-perl liblwp-protocol-https-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
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  libmono-microsoft-visualc10.0-cil
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  libmono-system-drawing-design4.0-cil libmono-system-drawing4.0-cil
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  libmono-system-json4.0-cil libmono-system-ldap-protocols4.0-cil
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  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
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  libmono-system-reactive-linq2.2-cil
  libmono-system-reactive-observable-aliases0.0-cil
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  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
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  libmono-system-security4.0-cil libmono-system-servicemodel-activation4.0-cil
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  libmono-system-servicemodel-internals0.0-cil
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  libmono-system-servicemodel-web4.0-cil libmono-system-servicemodel4.0a-cil
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  libmono-system-transactions4.0-cil libmono-system-web-abstractions4.0-cil
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  libmono-system-web-extensions4.0-cil libmono-system-web-http-selfhost4.0-cil
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  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
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  libmono-system-web-webpages-razor2.0-cil libmono-system-web-webpages2.0-cil
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  libmono-system-windows-forms-datavisualization4.0a-cil
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  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 libncurses5-dev libnet-http-perl
  libnet-ssleay-perl libnih-dbus1 libnih1 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 libogg0 libpam-systemd libpango-1.0-0
  libpangocairo-1.0-0 libpangoft2-1.0-0 libpcsclite1 libpipeline1
  libpixman-1-0 libproxy1v5 libpulse0 libpython-stdlib libpython2.7-minimal
  libpython2.7-stdlib librest-0.7-0 librsvg2-2 librsvg2-common libsensors4
  libsigsegv2 libsm6 libsndfile1 libsoup-gnome2.4-1 libsoup2.4-1 libthai-data
  libthai0 libtiff5 libtimedate-perl libtinfo-dev libtool libtry-tiny-perl
  liburi-perl libvorbis0a libvorbisenc2 libwrap0 libwww-perl
  libwww-robotrules-perl libx11-6 libx11-data libx11-xcb1 libxau6 libxaw7
  libxcb-dri2-0 libxcb-dri3-0 libxcb-glx0 libxcb-present0 libxcb-render0
  libxcb-shape0 libxcb-shm0 libxcb-sync1 libxcb-xfixes0 libxcb1 libxcomposite1
  libxcursor1 libxdamage1 libxdmcp6 libxext6 libxfixes3 libxft2 libxi6
  libxinerama1 libxml-dom-perl libxml-parser-perl libxml-perl
  libxml-regexp-perl libxml2 libxmu6 libxmuu1 libxpm4 libxrandr2 libxrender1
  libxshmfence1 libxt6 libxtst6 libxv1 libxxf86dga1 libxxf86vm1 m4 man-db
  mono-4.0-gac mono-devel mono-gac mono-mcs mono-runtime mono-runtime-common
  mono-runtime-sgen mono-utils mono-xbuild netbase ocaml-base-nox
  ocaml-compiler-libs ocaml-interp ocaml-nox openjdk-8-jdk
  openjdk-8-jdk-headless openjdk-8-jre openjdk-8-jre-headless
  perl-openssl-defaults pkg-config po-debconf python python-minimal python2.7
  python2.7-minimal sbuild-build-depends-z3-dummy shared-mime-info
  systemd-shim ucf x11-common x11-utils
The following packages will be upgraded:
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2 upgraded, 387 newly installed, 0 to remove and 14 not upgraded.
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Get:1 copy:/<<BUILDDIR>>/resolver-MALGch/apt_archive ./ sbuild-build-depends-z3-dummy 0.invalid.0 [924 B]
Get:2 http://172.17.0.1/private buster-staging/main armhf systemd armhf 236-2 [2825 kB]
Get:3 http://172.17.0.1/private buster-staging/main armhf libsystemd0 armhf 236-2 [251 kB]
Get:4 http://172.17.0.1/private buster-staging/main armhf groff-base armhf 1.22.3-9 [1005 kB]
Get:5 http://172.17.0.1/private buster-staging/main armhf libbsd0 armhf 0.8.6-3 [95.9 kB]
Get:6 http://172.17.0.1/private buster-staging/main armhf bsdmainutils armhf 11.1.2 [182 kB]
Get:7 http://172.17.0.1/private buster-staging/main armhf libpipeline1 armhf 1.5.0-1 [24.6 kB]
Get:8 http://172.17.0.1/private buster-staging/main armhf man-db armhf 2.7.6.1-4 [1012 kB]
Get:9 http://172.17.0.1/private buster-staging/main armhf libfreetype6 armhf 2.8.1-0.1 [401 kB]
Get:10 http://172.17.0.1/private buster-staging/main armhf ucf all 3.0036 [70.2 kB]
Get:11 http://172.17.0.1/private buster-staging/main armhf fonts-dejavu-core all 2.37-1 [1068 kB]
Get:12 http://172.17.0.1/private buster-staging/main armhf fontconfig-config all 2.12.6-0.1 [304 kB]
Get:13 http://172.17.0.1/private buster-staging/main armhf libfontconfig1 armhf 2.12.6-0.1 [351 kB]
Get:14 http://172.17.0.1/private buster-staging/main armhf fontconfig armhf 2.12.6-0.1 [438 kB]
Get:15 http://172.17.0.1/private buster-staging/main armhf libogg0 armhf 1.3.2-1 [17.2 kB]
Get:16 http://172.17.0.1/private buster-staging/main armhf libxau6 armhf 1:1.0.8-1+b2 [19.1 kB]
Get:17 http://172.17.0.1/private buster-staging/main armhf libxdmcp6 armhf 1:1.1.2-3 [25.0 kB]
Get:18 http://172.17.0.1/private buster-staging/main armhf libxcb1 armhf 1.12-1 [129 kB]
Get:19 http://172.17.0.1/private buster-staging/main armhf libx11-data all 2:1.6.4-3 [290 kB]
Get:20 http://172.17.0.1/private buster-staging/main armhf libx11-6 armhf 2:1.6.4-3 [683 kB]
Get:21 http://172.17.0.1/private buster-staging/main armhf libxext6 armhf 2:1.3.3-1+b2 [47.8 kB]
Get:22 http://172.17.0.1/private buster-staging/main armhf libxxf86dga1 armhf 2:1.1.4-1 [22.4 kB]
Get:23 http://172.17.0.1/private buster-staging/main armhf java-common all 0.59 [13.6 kB]
Get:24 http://172.17.0.1/private buster-staging/main armhf default-jre-headless armhf 2:1.8-59+b4 [10.4 kB]
Get:25 http://172.17.0.1/private buster-staging/main armhf libnspr4 armhf 2:4.16-1 [95.5 kB]
Get:26 http://172.17.0.1/private buster-staging/main armhf libnss3 armhf 2:3.34-1 [942 kB]
Get:27 http://172.17.0.1/private buster-staging/main armhf ca-certificates-java all 20170930 [14.9 kB]
Get:28 http://172.17.0.1/private buster-staging/main armhf libavahi-common-data armhf 0.7-3 [122 kB]
Get:29 http://172.17.0.1/private buster-staging/main armhf libavahi-common3 armhf 0.7-3 [50.6 kB]
Get:30 http://172.17.0.1/private buster-staging/main armhf libavahi-client3 armhf 0.7-3 [53.4 kB]
Get:31 http://172.17.0.1/private buster-staging/main armhf libkeyutils1 armhf 1.5.9-9.2 [12.1 kB]
Get:32 http://172.17.0.1/private buster-staging/main armhf libkrb5support0 armhf 1.15.2-2 [58.6 kB]
Get:33 http://172.17.0.1/private buster-staging/main armhf libk5crypto3 armhf 1.15.2-2 [116 kB]
Get:34 http://172.17.0.1/private buster-staging/main armhf libkrb5-3 armhf 1.15.2-2 [263 kB]
Get:35 http://172.17.0.1/private buster-staging/main armhf libgssapi-krb5-2 armhf 1.15.2-2 [133 kB]
Get:36 http://172.17.0.1/private buster-staging/main armhf libcups2 armhf 2.2.6-4 [282 kB]
Get:37 http://172.17.0.1/private buster-staging/main armhf liblcms2-2 armhf 2.9-1 [117 kB]
Get:38 http://172.17.0.1/private buster-staging/main armhf libjpeg62-turbo armhf 1:1.5.2-2+b1 [110 kB]
Get:39 http://172.17.0.1/private buster-staging/main armhf libpcsclite1 armhf 1.8.23-1 [55.0 kB]
Get:40 http://172.17.0.1/private buster-staging/main armhf libxi6 armhf 2:1.7.9-1 [77.8 kB]
Get:41 http://172.17.0.1/private buster-staging/main armhf libxrender1 armhf 1:0.9.10-1 [29.9 kB]
Get:42 http://172.17.0.1/private buster-staging/main armhf x11-common all 1:7.7+19 [251 kB]
Get:43 http://172.17.0.1/private buster-staging/main armhf libxtst6 armhf 2:1.2.3-1 [26.3 kB]
Get:44 http://172.17.0.1/private buster-staging/main armhf openjdk-8-jre-headless armhf 8u141-b15-3 [25.4 MB]
Get:45 http://172.17.0.1/private buster-staging/main armhf libpython2.7-minimal armhf 2.7.14-4 [393 kB]
Get:46 http://172.17.0.1/private buster-staging/main armhf python2.7-minimal armhf 2.7.14-4 [1075 kB]
Get:47 http://172.17.0.1/private buster-staging/main armhf python-minimal armhf 2.7.14-4 [41.0 kB]
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Get:50 http://172.17.0.1/private buster-staging/main armhf libpython-stdlib armhf 2.7.14-4 [20.4 kB]
Get:51 http://172.17.0.1/private buster-staging/main armhf python armhf 2.7.14-4 [155 kB]
Get:52 http://172.17.0.1/private buster-staging/main armhf netbase all 5.4 [19.1 kB]
Get:53 http://172.17.0.1/private buster-staging/main armhf dbus armhf 1.12.2-1 [206 kB]
Get:54 http://172.17.0.1/private buster-staging/main armhf gettext-base armhf 0.19.8.1-4 [117 kB]
Get:55 http://172.17.0.1/private buster-staging/main armhf libedit2 armhf 3.1-20170329-1 [69.0 kB]
Get:56 http://172.17.0.1/private buster-staging/main armhf libglib2.0-0 armhf 2.54.2-5 [2645 kB]
Get:57 http://172.17.0.1/private buster-staging/main armhf libnih1 armhf 1.0.3-9 [125 kB]
Get:58 http://172.17.0.1/private buster-staging/main armhf libnih-dbus1 armhf 1.0.3-9 [96.8 kB]
Get:59 http://172.17.0.1/private buster-staging/main armhf libcgmanager0 armhf 0.41-2 [42.9 kB]
Get:60 http://172.17.0.1/private buster-staging/main armhf cgmanager armhf 0.41-2 [76.5 kB]
Get:61 http://172.17.0.1/private buster-staging/main armhf systemd-shim armhf 10-3+b4 [17.9 kB]
Get:62 http://172.17.0.1/private buster-staging/main armhf libpam-systemd armhf 236-2 [166 kB]
Get:63 http://172.17.0.1/private buster-staging/main armhf libwrap0 armhf 7.6.q-27 [56.0 kB]
Get:64 http://172.17.0.1/private buster-staging/main armhf hicolor-icon-theme all 0.17-1 [11.5 kB]
Get:65 http://172.17.0.1/private buster-staging/main armhf libjbig0 armhf 2.1-3.1+b2 [27.6 kB]
Get:66 http://172.17.0.1/private buster-staging/main armhf libtiff5 armhf 4.0.9-3 [224 kB]
Get:67 http://172.17.0.1/private buster-staging/main armhf libicu57 armhf 57.1-8 [7411 kB]
Get:68 http://172.17.0.1/private buster-staging/main armhf libxml2 armhf 2.9.4+dfsg1-6.1 [602 kB]
Get:69 http://172.17.0.1/private buster-staging/main armhf shared-mime-info armhf 1.9-2 [749 kB]
Get:70 http://172.17.0.1/private buster-staging/main armhf libgdk-pixbuf2.0-common all 2.36.11-1 [312 kB]
Get:71 http://172.17.0.1/private buster-staging/main armhf libgdk-pixbuf2.0-0 armhf 2.36.11-1 [153 kB]
Get:72 http://172.17.0.1/private buster-staging/main armhf gtk-update-icon-cache armhf 3.22.26-2+rpi1 [77.1 kB]
Get:73 http://172.17.0.1/private buster-staging/main armhf libpixman-1-0 armhf 0.34.0-2 [451 kB]
Get:74 http://172.17.0.1/private buster-staging/main armhf libxcb-render0 armhf 1.12-1 [104 kB]
Get:75 http://172.17.0.1/private buster-staging/main armhf libxcb-shm0 armhf 1.12-1 [95.9 kB]
Get:76 http://172.17.0.1/private buster-staging/main armhf libcairo2 armhf 1.15.8-3 [557 kB]
Get:77 http://172.17.0.1/private buster-staging/main armhf libcroco3 armhf 0.6.12-2 [132 kB]
Get:78 http://172.17.0.1/private buster-staging/main armhf libthai-data all 0.1.27-1 [168 kB]
Get:79 http://172.17.0.1/private buster-staging/main armhf libdatrie1 armhf 0.2.10-6 [33.2 kB]
Get:80 http://172.17.0.1/private buster-staging/main armhf libthai0 armhf 0.1.27-1 [50.0 kB]
Get:81 http://172.17.0.1/private buster-staging/main armhf libpango-1.0-0 armhf 1.40.14-1 [181 kB]
Get:82 http://172.17.0.1/private buster-staging/main armhf libgraphite2-3 armhf 1.3.10-8 [71.9 kB]
Get:83 http://172.17.0.1/private buster-staging/main armhf libharfbuzz0b armhf 1.7.2-1 [705 kB]
Get:84 http://172.17.0.1/private buster-staging/main armhf libpangoft2-1.0-0 armhf 1.40.14-1 [74.3 kB]
Get:85 http://172.17.0.1/private buster-staging/main armhf libpangocairo-1.0-0 armhf 1.40.14-1 [63.4 kB]
Get:86 http://172.17.0.1/private buster-staging/main armhf librsvg2-2 armhf 2.40.20-2 [285 kB]
Get:87 http://172.17.0.1/private buster-staging/main armhf librsvg2-common armhf 2.40.20-2 [209 kB]
Get:88 http://172.17.0.1/private buster-staging/main armhf adwaita-icon-theme all 3.26.1-2 [12.4 MB]
Get:89 http://172.17.0.1/private buster-staging/main armhf libsigsegv2 armhf 2.11-1 [29.3 kB]
Get:90 http://172.17.0.1/private buster-staging/main armhf m4 armhf 1.4.18-1 [185 kB]
Get:91 http://172.17.0.1/private buster-staging/main armhf autoconf all 2.69-11 [341 kB]
Get:92 http://172.17.0.1/private buster-staging/main armhf autotools-dev all 20171216.1 [75.9 kB]
Get:93 http://172.17.0.1/private buster-staging/main armhf automake all 1:1.15.1-3 [736 kB]
Get:94 http://172.17.0.1/private buster-staging/main armhf autopoint all 0.19.8.1-4 [434 kB]
Get:95 http://172.17.0.1/private buster-staging/main armhf cli-common all 0.9+nmu1 [175 kB]
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Get:97 http://172.17.0.1/private buster-staging/main armhf dh-autoreconf all 15 [16.2 kB]
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Get:102 http://172.17.0.1/private buster-staging/main armhf gettext armhf 0.19.8.1-4 [1218 kB]
Get:103 http://172.17.0.1/private buster-staging/main armhf intltool-debian all 0.35.0+20060710.4 [26.3 kB]
Get:104 http://172.17.0.1/private buster-staging/main armhf po-debconf all 1.0.20 [247 kB]
Get:105 http://172.17.0.1/private buster-staging/main armhf debhelper all 11 [990 kB]
Get:106 http://172.17.0.1/private buster-staging/main armhf libmonoboehm-2.0-1 armhf 4.6.2.7+dfsg-1 [1116 kB]
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Get:111 http://172.17.0.1/private buster-staging/main armhf libmono-security4.0-cil all 4.6.2.7+dfsg-1 [246 kB]
Get:112 http://172.17.0.1/private buster-staging/main armhf mono-4.0-gac all 4.6.2.7+dfsg-1 [40.2 kB]
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Get:114 http://172.17.0.1/private buster-staging/main armhf mono-runtime-common armhf 4.6.2.7+dfsg-1 [240 kB]
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Get:117 http://172.17.0.1/private buster-staging/main armhf libmono-corlib4.5-cil all 4.6.2.7+dfsg-1 [1043 kB]
Get:118 http://172.17.0.1/private buster-staging/main armhf mono-utils armhf 4.6.2.7+dfsg-1 [2941 kB]
Get:119 http://172.17.0.1/private buster-staging/main armhf libmono-cecil-private-cil all 4.6.2.7+dfsg-1 [123 kB]
Get:120 http://172.17.0.1/private buster-staging/main armhf libmono-posix4.0-cil all 4.6.2.7+dfsg-1 [99.2 kB]
Get:121 http://172.17.0.1/private buster-staging/main armhf libmono-system-core4.0-cil all 4.6.2.7+dfsg-1 [270 kB]
Get:122 http://172.17.0.1/private buster-staging/main armhf libmono-codecontracts4.0-cil all 4.6.2.7+dfsg-1 [221 kB]
Get:123 http://172.17.0.1/private buster-staging/main armhf libmono-compilerservices-symbolwriter4.0-cil all 4.6.2.7+dfsg-1 [45.8 kB]
Get:124 http://172.17.0.1/private buster-staging/main armhf libmono-peapi4.0a-cil all 4.6.2.7+dfsg-1 [64.8 kB]
Get:125 http://172.17.0.1/private buster-staging/main armhf libmono-relaxng4.0-cil all 4.6.2.7+dfsg-1 [97.7 kB]
Get:126 http://172.17.0.1/private buster-staging/main armhf libmono-system-componentmodel-composition4.0-cil all 4.6.2.7+dfsg-1 [114 kB]
Get:127 http://172.17.0.1/private buster-staging/main armhf libmono-system-componentmodel-dataannotations4.0-cil all 4.6.2.7+dfsg-1 [54.6 kB]
Get:128 http://172.17.0.1/private buster-staging/main armhf libmono-system-configuration-install4.0-cil all 4.6.2.7+dfsg-1 [37.2 kB]
Get:129 http://172.17.0.1/private buster-staging/main armhf libmono-data-tds4.0-cil all 4.6.2.7+dfsg-1 [63.3 kB]
Get:130 http://172.17.0.1/private buster-staging/main armhf libmono-system-transactions4.0-cil all 4.6.2.7+dfsg-1 [40.7 kB]
Get:131 http://172.17.0.1/private buster-staging/main armhf libmono-system-enterpriseservices4.0-cil all 4.6.2.7+dfsg-1 [44.3 kB]
Get:132 http://172.17.0.1/private buster-staging/main armhf libmono-system-numerics4.0-cil all 4.6.2.7+dfsg-1 [58.9 kB]
Get:133 http://172.17.0.1/private buster-staging/main armhf libmono-system-data4.0-cil all 4.6.2.7+dfsg-1 [553 kB]
Get:134 http://172.17.0.1/private buster-staging/main armhf libmono-system-servicemodel-internals0.0-cil all 4.6.2.7+dfsg-1 [99.2 kB]
Get:135 http://172.17.0.1/private buster-staging/main armhf libmono-system-runtime-serialization4.0-cil all 4.6.2.7+dfsg-1 [267 kB]
Get:136 http://172.17.0.1/private buster-staging/main armhf libmono-system-data-linq4.0-cil all 4.6.2.7+dfsg-1 [170 kB]
Get:137 http://172.17.0.1/private buster-staging/main armhf libexif12 armhf 0.6.21-4 [312 kB]
Get:138 http://172.17.0.1/private buster-staging/main armhf libgif7 armhf 5.1.4-1 [41.0 kB]
Get:139 http://172.17.0.1/private buster-staging/main armhf libgdiplus armhf 4.2-2 [112 kB]
Get:140 http://172.17.0.1/private buster-staging/main armhf libmono-system-drawing4.0-cil all 4.6.2.7+dfsg-1 [149 kB]
Get:141 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-applicationservices4.0-cil all 4.6.2.7+dfsg-1 [40.5 kB]
Get:142 http://172.17.0.1/private buster-staging/main armhf libmono-system-identitymodel4.0-cil all 4.6.2.7+dfsg-1 [70.3 kB]
Get:143 http://172.17.0.1/private buster-staging/main armhf libmono-system-io-compression4.0-cil all 4.6.2.7+dfsg-1 [63.5 kB]
Get:144 http://172.17.0.1/private buster-staging/main armhf libmono-system-io-compression-filesystem4.0-cil all 4.6.2.7+dfsg-1 [34.7 kB]
Get:145 http://172.17.0.1/private buster-staging/main armhf libmono-system-runtime-serialization-formatters-soap4.0-cil all 4.6.2.7+dfsg-1 [44.3 kB]
Get:146 http://172.17.0.1/private buster-staging/main armhf libmono-sqlite4.0-cil all 4.6.2.7+dfsg-1 [75.6 kB]
Get:147 http://172.17.0.1/private buster-staging/main armhf libmono-accessibility4.0-cil all 4.6.2.7+dfsg-1 [33.1 kB]
Get:148 http://172.17.0.1/private buster-staging/main armhf libmono-webbrowser4.0-cil all 4.6.2.7+dfsg-1 [75.9 kB]
Get:149 http://172.17.0.1/private buster-staging/main armhf libmono-i18n4.0-cil all 4.6.2.7+dfsg-1 [40.2 kB]
Get:150 http://172.17.0.1/private buster-staging/main armhf libmono-i18n-west4.0-cil all 4.6.2.7+dfsg-1 [43.4 kB]
Get:151 http://172.17.0.1/private buster-staging/main armhf libmono-system-windows-forms4.0-cil all 4.6.2.7+dfsg-1 [823 kB]
Get:152 http://172.17.0.1/private buster-staging/main armhf libmono-system-design4.0-cil all 4.6.2.7+dfsg-1 [123 kB]
Get:153 http://172.17.0.1/private buster-staging/main armhf libmono-ldap4.0-cil all 4.6.2.7+dfsg-1 [110 kB]
Get:154 http://172.17.0.1/private buster-staging/main armhf libmono-system-ldap4.0-cil all 4.6.2.7+dfsg-1 [59.1 kB]
Get:155 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-services4.0-cil all 4.6.2.7+dfsg-1 [185 kB]
Get:156 http://172.17.0.1/private buster-staging/main armhf libmono-system-web4.0-cil all 4.6.2.7+dfsg-1 [772 kB]
Get:157 http://172.17.0.1/private buster-staging/main armhf libmono-system-runtime4.0-cil all 4.6.2.7+dfsg-1 [73.2 kB]
Get:158 http://172.17.0.1/private buster-staging/main armhf libmono-system-identitymodel-selectors4.0-cil all 4.6.2.7+dfsg-1 [34.6 kB]
Get:159 http://172.17.0.1/private buster-staging/main armhf libmono-messaging4.0-cil all 4.6.2.7+dfsg-1 [40.9 kB]
Get:160 http://172.17.0.1/private buster-staging/main armhf libmono-system-messaging4.0-cil all 4.6.2.7+dfsg-1 [53.0 kB]
Get:161 http://172.17.0.1/private buster-staging/main armhf libmono-system-servicemodel-activation4.0-cil all 4.6.2.7+dfsg-1 [33.5 kB]
Get:162 http://172.17.0.1/private buster-staging/main armhf libmono-system-servicemodel4.0a-cil all 4.6.2.7+dfsg-1 [412 kB]
Get:163 http://172.17.0.1/private buster-staging/main armhf libmono-system-serviceprocess4.0-cil all 4.6.2.7+dfsg-1 [46.1 kB]
Get:164 http://172.17.0.1/private buster-staging/main armhf libmono-system-xml-linq4.0-cil all 4.6.2.7+dfsg-1 [69.9 kB]
Get:165 http://172.17.0.1/private buster-staging/main armhf libmono-csharp4.0c-cil all 4.6.2.7+dfsg-1 [405 kB]
Get:166 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-csharp4.0-cil all 4.6.2.7+dfsg-1 [40.6 kB]
Get:167 http://172.17.0.1/private buster-staging/main armhf mono-mcs all 4.6.2.7+dfsg-1 [539 kB]
Get:168 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-build-framework4.0-cil all 4.6.2.7+dfsg-1 [39.5 kB]
Get:169 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-build-utilities-v4.0-4.0-cil all 4.6.2.7+dfsg-1 [49.6 kB]
Get:170 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-build-engine4.0-cil all 4.6.2.7+dfsg-1 [108 kB]
Get:171 http://172.17.0.1/private buster-staging/main armhf libmono-xbuild-tasks4.0-cil all 4.6.2.7+dfsg-1 [43.3 kB]
Get:172 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-build-tasks-v4.0-4.0-cil all 4.6.2.7+dfsg-1 [86.9 kB]
Get:173 http://172.17.0.1/private buster-staging/main armhf mono-xbuild all 4.6.2.7+dfsg-1 [465 kB]
Get:174 http://172.17.0.1/private buster-staging/main armhf libmono-cairo4.0-cil all 4.6.2.7+dfsg-1 [48.4 kB]
Get:175 http://172.17.0.1/private buster-staging/main armhf libmono-cscompmgd0.0-cil all 4.6.2.7+dfsg-1 [35.8 kB]
Get:176 http://172.17.0.1/private buster-staging/main armhf libmono-custommarshalers4.0-cil all 4.6.2.7+dfsg-1 [33.7 kB]
Get:177 http://172.17.0.1/private buster-staging/main armhf libmono-db2-1.0-cil all 4.6.2.7+dfsg-1 [54.2 kB]
Get:178 http://172.17.0.1/private buster-staging/main armhf libmono-debugger-soft4.0a-cil all 4.6.2.7+dfsg-1 [82.4 kB]
Get:179 http://172.17.0.1/private buster-staging/main armhf libmono-sharpzip4.84-cil all 4.6.2.7+dfsg-1 [78.0 kB]
Get:180 http://172.17.0.1/private buster-staging/main armhf libmono-http4.0-cil all 4.6.2.7+dfsg-1 [40.1 kB]
Get:181 http://172.17.0.1/private buster-staging/main armhf libmono-i18n-cjk4.0-cil all 4.6.2.7+dfsg-1 [257 kB]
Get:182 http://172.17.0.1/private buster-staging/main armhf libmono-i18n-mideast4.0-cil all 4.6.2.7+dfsg-1 [37.4 kB]
Get:183 http://172.17.0.1/private buster-staging/main armhf libmono-i18n-other4.0-cil all 4.6.2.7+dfsg-1 [38.6 kB]
Get:184 http://172.17.0.1/private buster-staging/main armhf libmono-i18n-rare4.0-cil all 4.6.2.7+dfsg-1 [54.0 kB]
Get:185 http://172.17.0.1/private buster-staging/main armhf libmono-i18n4.0-all all 4.6.2.7+dfsg-1 [29.7 kB]
Get:186 http://172.17.0.1/private buster-staging/main armhf libmono-management4.0-cil all 4.6.2.7+dfsg-1 [34.1 kB]
Get:187 http://172.17.0.1/private buster-staging/main armhf libmono-rabbitmq4.0-cil all 4.6.2.7+dfsg-1 [112 kB]
Get:188 http://172.17.0.1/private buster-staging/main armhf libmono-messaging-rabbitmq4.0-cil all 4.6.2.7+dfsg-1 [41.8 kB]
Get:189 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-build4.0-cil all 4.6.2.7+dfsg-1 [117 kB]
Get:190 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-visualc10.0-cil all 4.6.2.7+dfsg-1 [32.6 kB]
Get:191 http://172.17.0.1/private buster-staging/main armhf libmono-microsoft-web-infrastructure1.0-cil all 4.6.2.7+dfsg-1 [35.0 kB]
Get:192 http://172.17.0.1/private buster-staging/main armhf libmono-oracle4.0-cil all 4.6.2.7+dfsg-1 [82.1 kB]
Get:193 http://172.17.0.1/private buster-staging/main armhf libmono-parallel4.0-cil all 4.6.2.7+dfsg-1 [40.7 kB]
Get:194 http://172.17.0.1/private buster-staging/main armhf libmono-simd4.0-cil all 4.6.2.7+dfsg-1 [44.7 kB]
Get:195 http://172.17.0.1/private buster-staging/main armhf libmono-smdiagnostics0.0-cil all 4.6.2.7+dfsg-1 [46.2 kB]
Get:196 http://172.17.0.1/private buster-staging/main armhf libmono-system-data-datasetextensions4.0-cil all 4.6.2.7+dfsg-1 [42.0 kB]
Get:197 http://172.17.0.1/private buster-staging/main armhf libmono-system-data-entity4.0-cil all 4.6.2.7+dfsg-1 [856 kB]
Get:198 http://172.17.0.1/private buster-staging/main armhf libmono-system-data-services-client4.0-cil all 4.6.2.7+dfsg-1 [157 kB]
Get:199 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-extensions4.0-cil all 4.6.2.7+dfsg-1 [181 kB]
Get:200 http://172.17.0.1/private buster-staging/main armhf libmono-system-servicemodel-web4.0-cil all 4.6.2.7+dfsg-1 [59.1 kB]
Get:201 http://172.17.0.1/private buster-staging/main armhf libmono-system-data-services4.0-cil all 4.6.2.7+dfsg-1 [45.1 kB]
Get:202 http://172.17.0.1/private buster-staging/main armhf libmono-system-deployment4.0-cil all 4.6.2.7+dfsg-1 [32.4 kB]
Get:203 http://172.17.0.1/private buster-staging/main armhf libmono-system-drawing-design4.0-cil all 4.6.2.7+dfsg-1 [39.8 kB]
Get:204 http://172.17.0.1/private buster-staging/main armhf libmono-system-dynamic4.0-cil all 4.6.2.7+dfsg-1 [61.6 kB]
Get:205 http://172.17.0.1/private buster-staging/main armhf libmono-system-json4.0-cil all 4.6.2.7+dfsg-1 [39.8 kB]
Get:206 http://172.17.0.1/private buster-staging/main armhf libmono-system-json-microsoft4.0-cil all 4.6.2.7+dfsg-1 [49.4 kB]
Get:207 http://172.17.0.1/private buster-staging/main armhf libmono-system-ldap-protocols4.0-cil all 4.6.2.7+dfsg-1 [48.4 kB]
Get:208 http://172.17.0.1/private buster-staging/main armhf libmono-system-management4.0-cil all 4.6.2.7+dfsg-1 [44.1 kB]
Get:209 http://172.17.0.1/private buster-staging/main armhf libmono-system-net4.0-cil all 4.6.2.7+dfsg-1 [33.4 kB]
Get:210 http://172.17.0.1/private buster-staging/main armhf libmono-system-net-http4.0-cil all 4.6.2.7+dfsg-1 [69.5 kB]
Get:211 http://172.17.0.1/private buster-staging/main armhf libmono-system-net-http-formatting4.0-cil all 4.6.2.7+dfsg-1 [191 kB]
Get:212 http://172.17.0.1/private buster-staging/main armhf libmono-system-net-http-webrequest4.0-cil all 4.6.2.7+dfsg-1 [34.0 kB]
Get:213 http://172.17.0.1/private buster-staging/main armhf libmono-system-numerics-vectors4.0-cil all 4.6.2.7+dfsg-1 [33.1 kB]
Get:214 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-interfaces2.2-cil all 4.6.2.7+dfsg-1 [32.7 kB]
Get:215 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-core2.2-cil all 4.6.2.7+dfsg-1 [63.9 kB]
Get:216 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-linq2.2-cil all 4.6.2.7+dfsg-1 [177 kB]
Get:217 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-debugger2.2-cil all 4.6.2.7+dfsg-1 [31.8 kB]
Get:218 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-experimental2.2-cil all 4.6.2.7+dfsg-1 [40.1 kB]
Get:219 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-providers2.2-cil all 4.6.2.7+dfsg-1 [68.7 kB]
Get:220 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-observable-aliases0.0-cil all 4.6.2.7+dfsg-1 [32.6 kB]
Get:221 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-platformservices2.2-cil all 4.6.2.7+dfsg-1 [39.3 kB]
Get:222 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-runtime-remoting2.2-cil all 4.6.2.7+dfsg-1 [33.6 kB]
Get:223 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-windows-forms2.2-cil all 4.6.2.7+dfsg-1 [33.7 kB]
Get:224 http://172.17.0.1/private buster-staging/main armhf libmono-system-xaml4.0-cil all 4.6.2.7+dfsg-1 [91.7 kB]
Get:225 http://172.17.0.1/private buster-staging/main armhf libmono-windowsbase4.0-cil all 4.6.2.7+dfsg-1 [80.8 kB]
Get:226 http://172.17.0.1/private buster-staging/main armhf libmono-system-reactive-windows-threading2.2-cil all 4.6.2.7+dfsg-1 [35.0 kB]
Get:227 http://172.17.0.1/private buster-staging/main armhf libmono-system-reflection-context4.0-cil all 4.6.2.7+dfsg-1 [33.3 kB]
Get:228 http://172.17.0.1/private buster-staging/main armhf libmono-system-runtime-caching4.0-cil all 4.6.2.7+dfsg-1 [55.5 kB]
Get:229 http://172.17.0.1/private buster-staging/main armhf libmono-system-runtime-durableinstancing4.0-cil all 4.6.2.7+dfsg-1 [65.1 kB]
Get:230 http://172.17.0.1/private buster-staging/main armhf libmono-system-runtime-interopservices-runtimeinformation4.0-cil all 4.6.2.7+dfsg-1 [34.1 kB]
Get:231 http://172.17.0.1/private buster-staging/main armhf libmono-system-servicemodel-discovery4.0-cil all 4.6.2.7+dfsg-1 [70.6 kB]
Get:232 http://172.17.0.1/private buster-staging/main armhf libmono-system-servicemodel-routing4.0-cil all 4.6.2.7+dfsg-1 [40.9 kB]
Get:233 http://172.17.0.1/private buster-staging/main armhf libmono-system-threading-tasks-dataflow4.0-cil all 4.6.2.7+dfsg-1 [84.4 kB]
Get:234 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-abstractions4.0-cil all 4.6.2.7+dfsg-1 [32.8 kB]
Get:235 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-dynamicdata4.0-cil all 4.6.2.7+dfsg-1 [54.6 kB]
Get:236 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-extensions-design4.0-cil all 4.6.2.7+dfsg-1 [33.9 kB]
Get:237 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-http4.0-cil all 4.6.2.7+dfsg-1 [140 kB]
Get:238 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-http-selfhost4.0-cil all 4.6.2.7+dfsg-1 [59.8 kB]
Get:239 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-http-webhost4.0-cil all 4.6.2.7+dfsg-1 [51.4 kB]
Get:240 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-mobile4.0-cil all 4.6.2.7+dfsg-1 [32.4 kB]
Get:241 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-razor2.0-cil all 4.6.2.7+dfsg-1 [114 kB]
Get:242 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-webpages-deployment2.0-cil all 4.6.2.7+dfsg-1 [43.7 kB]
Get:243 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-webpages2.0-cil all 4.6.2.7+dfsg-1 [96.8 kB]
Get:244 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-webpages-razor2.0-cil all 4.6.2.7+dfsg-1 [43.0 kB]
Get:245 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-mvc3.0-cil all 4.6.2.7+dfsg-1 [160 kB]
Get:246 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-regularexpressions4.0-cil all 4.6.2.7+dfsg-1 [32.5 kB]
Get:247 http://172.17.0.1/private buster-staging/main armhf libmono-system-web-routing4.0-cil all 4.6.2.7+dfsg-1 [32.8 kB]
Get:248 http://172.17.0.1/private buster-staging/main armhf libmono-system-windows4.0-cil all 4.6.2.7+dfsg-1 [32.5 kB]
Get:249 http://172.17.0.1/private buster-staging/main armhf libmono-system-windows-forms-datavisualization4.0a-cil all 4.6.2.7+dfsg-1 [66.9 kB]
Get:250 http://172.17.0.1/private buster-staging/main armhf libmono-system-workflow-activities4.0-cil all 4.6.2.7+dfsg-1 [32.5 kB]
Get:251 http://172.17.0.1/private buster-staging/main armhf libmono-system-workflow-componentmodel4.0-cil all 4.6.2.7+dfsg-1 [32.5 kB]
Get:252 http://172.17.0.1/private buster-staging/main armhf libmono-system-workflow-runtime4.0-cil all 4.6.2.7+dfsg-1 [32.5 kB]
Get:253 http://172.17.0.1/private buster-staging/main armhf libmono-system-xml-serialization4.0-cil all 4.6.2.7+dfsg-1 [32.4 kB]
Get:254 http://172.17.0.1/private buster-staging/main armhf libmono-tasklets4.0-cil all 4.6.2.7+dfsg-1 [32.8 kB]
Get:255 http://172.17.0.1/private buster-staging/main armhf libmono-webmatrix-data4.0-cil all 4.6.2.7+dfsg-1 [35.7 kB]
Get:256 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:257 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:258 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:259 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:260 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:261 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:262 http://172.17.0.1/private buster-staging/main armhf libnunit-cil-dev all 2.6.4+dfsg-1 [6060 B]
Get:263 http://172.17.0.1/private buster-staging/main armhf libmono-cil-dev all 4.6.2.7+dfsg-1 [32.4 kB]
Get:264 http://172.17.0.1/private buster-staging/main armhf libmonosgen-2.0-1 armhf 4.6.2.7+dfsg-1 [1164 kB]
Get:265 http://172.17.0.1/private buster-staging/main armhf libmonosgen-2.0-dev armhf 4.6.2.7+dfsg-1 [1411 kB]
Get:266 http://172.17.0.1/private buster-staging/main armhf libmono-2.0-dev armhf 4.6.2.7+dfsg-1 [61.9 kB]
Get:267 http://172.17.0.1/private buster-staging/main armhf pkg-config armhf 0.29-4 [59.2 kB]
Get:268 http://172.17.0.1/private buster-staging/main armhf mono-devel all 4.6.2.7+dfsg-1 [2012 kB]
Get:269 http://172.17.0.1/private buster-staging/main armhf libencode-locale-perl all 1.05-1 [13.7 kB]
Get:270 http://172.17.0.1/private buster-staging/main armhf libhttp-date-perl all 6.02-1 [10.7 kB]
Get:271 http://172.17.0.1/private buster-staging/main armhf libfile-listing-perl all 6.04-1 [10.3 kB]
Get:272 http://172.17.0.1/private buster-staging/main armhf libhtml-tagset-perl all 3.20-3 [12.7 kB]
Get:273 http://172.17.0.1/private buster-staging/main armhf liburi-perl all 1.72-2 [88.8 kB]
Get:274 http://172.17.0.1/private buster-staging/main armhf libhtml-parser-perl armhf 3.72-3+b1 [101 kB]
Get:275 http://172.17.0.1/private buster-staging/main armhf libhtml-tree-perl all 5.07-1 [213 kB]
Get:276 http://172.17.0.1/private buster-staging/main armhf libio-html-perl all 1.001-1 [17.6 kB]
Get:277 http://172.17.0.1/private buster-staging/main armhf liblwp-mediatypes-perl all 6.02-1 [22.1 kB]
Get:278 http://172.17.0.1/private buster-staging/main armhf libhttp-message-perl all 6.13-1 [71.6 kB]
Get:279 http://172.17.0.1/private buster-staging/main armhf libhttp-cookies-perl all 6.04-1 [17.8 kB]
Get:280 http://172.17.0.1/private buster-staging/main armhf libhttp-negotiate-perl all 6.00-2 [13.6 kB]
Get:281 http://172.17.0.1/private buster-staging/main armhf perl-openssl-defaults armhf 3 [6782 B]
Get:282 http://172.17.0.1/private buster-staging/main armhf libnet-ssleay-perl armhf 1.82-1 [274 kB]
Get:283 http://172.17.0.1/private buster-staging/main armhf libio-socket-ssl-perl all 2.052-1 [202 kB]
Get:284 http://172.17.0.1/private buster-staging/main armhf libnet-http-perl all 6.17-1 [24.3 kB]
Get:285 http://172.17.0.1/private buster-staging/main armhf liblwp-protocol-https-perl all 6.07-2 [9242 B]
Get:286 http://172.17.0.1/private buster-staging/main armhf libtry-tiny-perl all 0.30-1 [23.3 kB]
Get:287 http://172.17.0.1/private buster-staging/main armhf libwww-robotrules-perl all 6.01-1 [14.3 kB]
Get:288 http://172.17.0.1/private buster-staging/main armhf libwww-perl all 6.31-1 [186 kB]
Get:289 http://172.17.0.1/private buster-staging/main armhf libxml-parser-perl armhf 2.44-2+b2 [209 kB]
Get:290 http://172.17.0.1/private buster-staging/main armhf libxml-perl all 0.08-2 [113 kB]
Get:291 http://172.17.0.1/private buster-staging/main armhf libxml-regexp-perl all 0.04-1 [8370 B]
Get:292 http://172.17.0.1/private buster-staging/main armhf libxml-dom-perl all 1.44-2 [179 kB]
Get:293 http://172.17.0.1/private buster-staging/main armhf cli-common-dev all 0.9+nmu1 [43.7 kB]
Get:294 http://172.17.0.1/private buster-staging/main armhf dbus-user-session armhf 1.12.2-1 [88.6 kB]
Get:295 http://172.17.0.1/private buster-staging/main armhf libdconf1 armhf 0.26.1-2 [33.6 kB]
Get:296 http://172.17.0.1/private buster-staging/main armhf dconf-service armhf 0.26.1-2 [30.3 kB]
Get:297 http://172.17.0.1/private buster-staging/main armhf dconf-gsettings-backend armhf 0.26.1-2 [22.6 kB]
Get:298 http://172.17.0.1/private buster-staging/main armhf dctrl-tools armhf 2.24-2 [94.4 kB]
Get:299 http://172.17.0.1/private buster-staging/main armhf libgtk2.0-common all 2.24.31-5 [2691 kB]
Get:300 http://172.17.0.1/private buster-staging/main armhf libatk1.0-data all 2.26.1-2 [144 kB]
Get:301 http://172.17.0.1/private buster-staging/main armhf libatk1.0-0 armhf 2.26.1-2 [42.5 kB]
Get:302 http://172.17.0.1/private buster-staging/main armhf libxcomposite1 armhf 1:0.4.4-2 [16.1 kB]
Get:303 http://172.17.0.1/private buster-staging/main armhf libxfixes3 armhf 1:5.0.3-1 [20.6 kB]
Get:304 http://172.17.0.1/private buster-staging/main armhf libxcursor1 armhf 1:1.1.15-1 [33.4 kB]
Get:305 http://172.17.0.1/private buster-staging/main armhf libxdamage1 armhf 1:1.1.4-3 [14.0 kB]
Get:306 http://172.17.0.1/private buster-staging/main armhf libxinerama1 armhf 2:1.1.3-1+b3 [16.3 kB]
Get:307 http://172.17.0.1/private buster-staging/main armhf libxrandr2 armhf 2:1.5.1-1 [34.5 kB]
Get:308 http://172.17.0.1/private buster-staging/main armhf gnome-icon-theme all 3.12.0-2 [9890 kB]
Get:309 http://172.17.0.1/private buster-staging/main armhf libgtk2.0-0 armhf 2.24.31-5 [1497 kB]
Get:310 http://172.17.0.1/private buster-staging/main armhf libglvnd0 armhf 1.0.0-1 [52.1 kB]
Get:311 http://172.17.0.1/private buster-staging/main armhf libglapi-mesa armhf 17.2.5-1+rpi1 [68.5 kB]
Get:312 http://172.17.0.1/private buster-staging/main armhf libx11-xcb1 armhf 2:1.6.4-3 [183 kB]
Get:313 http://172.17.0.1/private buster-staging/main armhf libxcb-dri2-0 armhf 1.12-1 [97.1 kB]
Get:314 http://172.17.0.1/private buster-staging/main armhf libxcb-dri3-0 armhf 1.12-1 [95.5 kB]
Get:315 http://172.17.0.1/private buster-staging/main armhf libxcb-glx0 armhf 1.12-1 [111 kB]
Get:316 http://172.17.0.1/private buster-staging/main armhf libxcb-present0 armhf 1.12-1 [95.9 kB]
Get:317 http://172.17.0.1/private buster-staging/main armhf libxcb-sync1 armhf 1.12-1 [98.7 kB]
Get:318 http://172.17.0.1/private buster-staging/main armhf libxcb-xfixes0 armhf 1.12-1 [99.5 kB]
Get:319 http://172.17.0.1/private buster-staging/main armhf libxshmfence1 armhf 1.2-1+b2 [7736 B]
Get:320 http://172.17.0.1/private buster-staging/main armhf libxxf86vm1 armhf 1:1.1.4-1+b2 [20.1 kB]
Get:321 http://172.17.0.1/private buster-staging/main armhf libdrm-amdgpu1 armhf 2.4.89-1+rpi1 [26.8 kB]
Get:322 http://172.17.0.1/private buster-staging/main armhf libdrm-etnaviv1 armhf 2.4.89-1+rpi1 [19.8 kB]
Get:323 http://172.17.0.1/private buster-staging/main armhf libdrm-freedreno1 armhf 2.4.89-1+rpi1 [24.9 kB]
Get:324 http://172.17.0.1/private buster-staging/main armhf libdrm-nouveau2 armhf 2.4.89-1+rpi1 [24.2 kB]
Get:325 http://172.17.0.1/private buster-staging/main armhf libdrm-radeon1 armhf 2.4.89-1+rpi1 [28.7 kB]
Get:326 http://172.17.0.1/private buster-staging/main armhf libelf1 armhf 0.170-0.2 [160 kB]
Get:327 http://172.17.0.1/private buster-staging/main armhf libllvm5.0 armhf 1:5.0.1-2+rpi1 [11.7 MB]
Get:328 http://172.17.0.1/private buster-staging/main armhf libsensors4 armhf 1:3.4.0-4 [50.5 kB]
Get:329 http://172.17.0.1/private buster-staging/main armhf libgl1-mesa-dri armhf 17.2.5-1+rpi1 [4128 kB]
Get:330 http://172.17.0.1/private buster-staging/main armhf libglx-mesa0 armhf 17.2.5-1+rpi1 [155 kB]
Get:331 http://172.17.0.1/private buster-staging/main armhf libglx0 armhf 1.0.0-1 [23.9 kB]
Get:332 http://172.17.0.1/private buster-staging/main armhf libgl1 armhf 1.0.0-1 [105 kB]
Get:333 http://172.17.0.1/private buster-staging/main armhf libgl1-mesa-glx armhf 17.2.5-1+rpi1 [42.6 kB]
Get:334 http://172.17.0.1/private buster-staging/main armhf libatspi2.0-0 armhf 2.26.2-2 [54.1 kB]
Get:335 http://172.17.0.1/private buster-staging/main armhf libatk-bridge2.0-0 armhf 2.26.1-1 [51.6 kB]
Get:336 http://172.17.0.1/private buster-staging/main armhf libcairo-gobject2 armhf 1.15.8-3 [89.1 kB]
Get:337 http://172.17.0.1/private buster-staging/main armhf libgtk-3-common all 3.22.26-2+rpi1 [3487 kB]
Get:338 http://172.17.0.1/private buster-staging/main armhf libcolord2 armhf 1.3.3-2 [240 kB]
Get:339 http://172.17.0.1/private buster-staging/main armhf libepoxy0 armhf 1.4.3-1 [213 kB]
Get:340 http://172.17.0.1/private buster-staging/main armhf libjson-glib-1.0-common all 1.4.2-3 [50.4 kB]
Get:341 http://172.17.0.1/private buster-staging/main armhf libjson-glib-1.0-0 armhf 1.4.2-3 [51.8 kB]
Get:342 http://172.17.0.1/private buster-staging/main armhf libproxy1v5 armhf 0.4.14-4 [48.2 kB]
Get:343 http://172.17.0.1/private buster-staging/main armhf glib-networking-common all 2.54.1-2 [50.9 kB]
Get:344 http://172.17.0.1/private buster-staging/main armhf glib-networking-services armhf 2.54.1-2 [11.8 kB]
Get:345 http://172.17.0.1/private buster-staging/main armhf gsettings-desktop-schemas all 3.24.1-2 [502 kB]
Get:346 http://172.17.0.1/private buster-staging/main armhf glib-networking armhf 2.54.1-2 [48.8 kB]
Get:347 http://172.17.0.1/private buster-staging/main armhf libsoup2.4-1 armhf 2.60.2-2 [251 kB]
Get:348 http://172.17.0.1/private buster-staging/main armhf libsoup-gnome2.4-1 armhf 2.60.2-2 [16.4 kB]
Get:349 http://172.17.0.1/private buster-staging/main armhf librest-0.7-0 armhf 0.8.0-2 [27.8 kB]
Get:350 http://172.17.0.1/private buster-staging/main armhf libgtk-3-0 armhf 3.22.26-2+rpi1 [2090 kB]
Get:351 http://172.17.0.1/private buster-staging/main armhf libfontenc1 armhf 1:1.1.3-1 [22.2 kB]
Get:352 http://172.17.0.1/private buster-staging/main armhf libice6 armhf 2:1.0.9-2 [51.6 kB]
Get:353 http://172.17.0.1/private buster-staging/main armhf libsm6 armhf 2:1.2.2-1+b3 [31.2 kB]
Get:354 http://172.17.0.1/private buster-staging/main armhf libxt6 armhf 1:1.1.5-1 [155 kB]
Get:355 http://172.17.0.1/private buster-staging/main armhf libxmu6 armhf 2:1.1.2-2 [52.0 kB]
Get:356 http://172.17.0.1/private buster-staging/main armhf libxpm4 armhf 1:3.5.12-1 [43.6 kB]
Get:357 http://172.17.0.1/private buster-staging/main armhf libxaw7 armhf 2:1.0.13-1 [164 kB]
Get:358 http://172.17.0.1/private buster-staging/main armhf libxcb-shape0 armhf 1.12-1 [96.2 kB]
Get:359 http://172.17.0.1/private buster-staging/main armhf libxft2 armhf 2.3.2-1+b2 [49.3 kB]
Get:360 http://172.17.0.1/private buster-staging/main armhf libxmuu1 armhf 2:1.1.2-2 [23.0 kB]
Get:361 http://172.17.0.1/private buster-staging/main armhf libxv1 armhf 2:1.0.11-1 [23.2 kB]
Get:362 http://172.17.0.1/private buster-staging/main armhf x11-utils armhf 7.7+3 [175 kB]
Get:363 http://172.17.0.1/private buster-staging/main armhf libatk-wrapper-java all 0.33.3-13 [44.0 kB]
Get:364 http://172.17.0.1/private buster-staging/main armhf libatk-wrapper-java-jni armhf 0.33.3-13 [32.3 kB]
Get:365 http://172.17.0.1/private buster-staging/main armhf libasound2-data all 1.1.3-5 [173 kB]
Get:366 http://172.17.0.1/private buster-staging/main armhf libasound2 armhf 1.1.3-5 [442 kB]
Get:367 http://172.17.0.1/private buster-staging/main armhf libasyncns0 armhf 0.8-6 [11.8 kB]
Get:368 http://172.17.0.1/private buster-staging/main armhf libflac8 armhf 1.3.2-1 [145 kB]
Get:369 http://172.17.0.1/private buster-staging/main armhf libvorbis0a armhf 1.3.5-4.1 [81.8 kB]
Get:370 http://172.17.0.1/private buster-staging/main armhf libvorbisenc2 armhf 1.3.5-4.1 [72.9 kB]
Get:371 http://172.17.0.1/private buster-staging/main armhf libsndfile1 armhf 1.0.28-4 [236 kB]
Get:372 http://172.17.0.1/private buster-staging/main armhf libpulse0 armhf 11.1-4+b1 [254 kB]
Get:373 http://172.17.0.1/private buster-staging/main armhf openjdk-8-jre armhf 8u141-b15-3 [61.6 kB]
Get:374 http://172.17.0.1/private buster-staging/main armhf default-jre armhf 2:1.8-59+b4 [1008 B]
Get:375 http://172.17.0.1/private buster-staging/main armhf openjdk-8-jdk-headless armhf 8u141-b15-3 [6220 kB]
Get:376 http://172.17.0.1/private buster-staging/main armhf default-jdk-headless armhf 2:1.8-59+b4 [1080 B]
Get:377 http://172.17.0.1/private buster-staging/main armhf openjdk-8-jdk armhf 8u141-b15-3 [590 kB]
Get:378 http://172.17.0.1/private buster-staging/main armhf default-jdk armhf 2:1.8-59+b4 [1012 B]
Get:379 http://172.17.0.1/private buster-staging/main armhf libfile-which-perl all 1.21-1 [14.3 kB]
Get:380 http://172.17.0.1/private buster-staging/main armhf libfile-homedir-perl all 1.002-1 [42.3 kB]
Get:381 http://172.17.0.1/private buster-staging/main armhf devscripts armhf 2.17.12 [971 kB]
Get:382 http://172.17.0.1/private buster-staging/main armhf dh-ocaml all 1.1.0 [83.3 kB]
Get:383 http://172.17.0.1/private buster-staging/main armhf javahelper all 0.62 [85.1 kB]
Get:384 http://172.17.0.1/private buster-staging/main armhf libtinfo-dev armhf 6.0+20171125-1 [66.5 kB]
Get:385 http://172.17.0.1/private buster-staging/main armhf libncurses5-dev armhf 6.0+20171125-1 [152 kB]
Get:386 http://172.17.0.1/private buster-staging/main armhf ocaml-base-nox armhf 4.05.0-10+rpi1 [578 kB]
Get:387 http://172.17.0.1/private buster-staging/main armhf ocaml-interp armhf 4.05.0-10+rpi1 [3586 kB]
Get:388 http://172.17.0.1/private buster-staging/main armhf ocaml-nox armhf 4.05.0-10+rpi1 [25.2 MB]
Get:389 http://172.17.0.1/private buster-staging/main armhf ocaml-compiler-libs armhf 4.05.0-10+rpi1 [19.2 MB]
debconf: delaying package configuration, since apt-utils is not installed
Fetched 203 MB in 44s (4526 kB/s)
(Reading database ... 16237 files and directories currently installed.)
Preparing to unpack .../systemd_236-2_armhf.deb ...
Unpacking systemd (236-2) over (236-1) ...
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Unpacking libsystemd0:armhf (236-2) over (236-1) ...
Setting up libsystemd0:armhf (236-2) ...
Selecting previously unselected package groff-base.
(Reading database ... 16237 files and directories currently installed.)
Preparing to unpack .../00-groff-base_1.22.3-9_armhf.deb ...
Unpacking groff-base (1.22.3-9) ...
Selecting previously unselected package libbsd0:armhf.
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Unpacking libbsd0:armhf (0.8.6-3) ...
Selecting previously unselected package bsdmainutils.
Preparing to unpack .../02-bsdmainutils_11.1.2_armhf.deb ...
Unpacking bsdmainutils (11.1.2) ...
Selecting previously unselected package libpipeline1:armhf.
Preparing to unpack .../03-libpipeline1_1.5.0-1_armhf.deb ...
Unpacking libpipeline1:armhf (1.5.0-1) ...
Selecting previously unselected package man-db.
Preparing to unpack .../04-man-db_2.7.6.1-4_armhf.deb ...
Unpacking man-db (2.7.6.1-4) ...
Selecting previously unselected package libfreetype6:armhf.
Preparing to unpack .../05-libfreetype6_2.8.1-0.1_armhf.deb ...
Unpacking libfreetype6:armhf (2.8.1-0.1) ...
Selecting previously unselected package ucf.
Preparing to unpack .../06-ucf_3.0036_all.deb ...
Moving old data out of the way
Unpacking ucf (3.0036) ...
Selecting previously unselected package fonts-dejavu-core.
Preparing to unpack .../07-fonts-dejavu-core_2.37-1_all.deb ...
Unpacking fonts-dejavu-core (2.37-1) ...
Selecting previously unselected package fontconfig-config.
Preparing to unpack .../08-fontconfig-config_2.12.6-0.1_all.deb ...
Unpacking fontconfig-config (2.12.6-0.1) ...
Selecting previously unselected package libfontconfig1:armhf.
Preparing to unpack .../09-libfontconfig1_2.12.6-0.1_armhf.deb ...
Unpacking libfontconfig1:armhf (2.12.6-0.1) ...
Selecting previously unselected package fontconfig.
Preparing to unpack .../10-fontconfig_2.12.6-0.1_armhf.deb ...
Unpacking fontconfig (2.12.6-0.1) ...
Selecting previously unselected package libogg0:armhf.
Preparing to unpack .../11-libogg0_1.3.2-1_armhf.deb ...
Unpacking libogg0:armhf (1.3.2-1) ...
Selecting previously unselected package libxau6:armhf.
Preparing to unpack .../12-libxau6_1%3a1.0.8-1+b2_armhf.deb ...
Unpacking libxau6:armhf (1:1.0.8-1+b2) ...
Selecting previously unselected package libxdmcp6:armhf.
Preparing to unpack .../13-libxdmcp6_1%3a1.1.2-3_armhf.deb ...
Unpacking libxdmcp6:armhf (1:1.1.2-3) ...
Selecting previously unselected package libxcb1:armhf.
Preparing to unpack .../14-libxcb1_1.12-1_armhf.deb ...
Unpacking libxcb1:armhf (1.12-1) ...
Selecting previously unselected package libx11-data.
Preparing to unpack .../15-libx11-data_2%3a1.6.4-3_all.deb ...
Unpacking libx11-data (2:1.6.4-3) ...
Selecting previously unselected package libx11-6:armhf.
Preparing to unpack .../16-libx11-6_2%3a1.6.4-3_armhf.deb ...
Unpacking libx11-6:armhf (2:1.6.4-3) ...
Selecting previously unselected package libxext6:armhf.
Preparing to unpack .../17-libxext6_2%3a1.3.3-1+b2_armhf.deb ...
Unpacking libxext6:armhf (2:1.3.3-1+b2) ...
Selecting previously unselected package libxxf86dga1:armhf.
Preparing to unpack .../18-libxxf86dga1_2%3a1.1.4-1_armhf.deb ...
Unpacking libxxf86dga1:armhf (2:1.1.4-1) ...
Selecting previously unselected package java-common.
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Unpacking java-common (0.59) ...
Selecting previously unselected package default-jre-headless.
Preparing to unpack .../20-default-jre-headless_2%3a1.8-59+b4_armhf.deb ...
Unpacking default-jre-headless (2:1.8-59+b4) ...
Selecting previously unselected package libnspr4:armhf.
Preparing to unpack .../21-libnspr4_2%3a4.16-1_armhf.deb ...
Unpacking libnspr4:armhf (2:4.16-1) ...
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invoke-rc.d: could not determine current runlevel
All runlevel operations denied by policy
invoke-rc.d: policy-rc.d denied execution of start.
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update-alternatives: using /usr/bin/bsd-write to provide /usr/bin/write (write) in auto mode
update-alternatives: using /usr/bin/bsd-from to provide /usr/bin/from (from) in auto mode
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update-rc.d: warning: start and stop actions are no longer supported; falling back to defaults
invoke-rc.d: could not determine current runlevel
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Updating certificates in /etc/ssl/certs...
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Setting up netbase (5.4) ...
Setting up libfile-stripnondeterminism-perl (0.040-1) ...
Setting up libmonosgen-2.0-dev (4.6.2.7+dfsg-1) ...
Setting up libcgmanager0:armhf (0.41-2) ...
Setting up libedit2:armhf (3.1-20170329-1) ...
Setting up libtool (2.4.6-2) ...
Setting up fontconfig-config (2.12.6-0.1) ...
Setting up libhttp-date-perl (6.02-1) ...
Setting up gettext (0.19.8.1-4) ...
Setting up libnet-ssleay-perl (1.82-1) ...
Setting up libflac8:armhf (1.3.2-1) ...
Setting up python2.7 (2.7.14-4) ...
Setting up libnss3:armhf (2:3.34-1) ...
Setting up libllvm5.0:armhf (1:5.0.1-2+rpi1) ...
Setting up libharfbuzz0b:armhf (1.7.2-1) ...
Setting up autoconf (2.69-11) ...
Setting up libthai0:armhf (0.1.27-1) ...
Setting up libkrb5support0:armhf (1.15.2-2) ...
Setting up libio-socket-ssl-perl (2.052-1) ...
Setting up cgmanager (0.41-2) ...
Created symlink /etc/systemd/system/multi-user.target.wants/cgmanager.service -> /lib/systemd/system/cgmanager.service.
Created symlink /etc/systemd/system/multi-user.target.wants/cgproxy.service -> /lib/systemd/system/cgproxy.service.
invoke-rc.d: could not determine current runlevel
All runlevel operations denied by policy
invoke-rc.d: policy-rc.d denied execution of start.
invoke-rc.d: could not determine current runlevel
All runlevel operations denied by policy
invoke-rc.d: policy-rc.d denied execution of start.
Setting up libmono-2.0-dev (4.6.2.7+dfsg-1) ...
Setting up libhtml-tree-perl (5.07-1) ...
Setting up libpython-stdlib:armhf (2.7.14-4) ...
Setting up intltool-debian (0.35.0+20060710.4) ...
Setting up automake (1:1.15.1-3) ...
update-alternatives: using /usr/bin/automake-1.15 to provide /usr/bin/automake (automake) in auto mode
Setting up libice6:armhf (2:1.0.9-2) ...
Setting up libfile-listing-perl (6.04-1) ...
Setting up man-db (2.7.6.1-4) ...
Not building database; man-db/auto-update is not 'true'.
Setting up libhttp-message-perl (6.13-1) ...
Setting up libavahi-common3:armhf (0.7-3) ...
Setting up libvorbisenc2:armhf (1.3.5-4.1) ...
Setting up libxcb1:armhf (1.12-1) ...
Setting up systemd-shim (10-3+b4) ...
Setting up python (2.7.14-4) ...
Setting up libhttp-negotiate-perl (6.00-2) ...
Setting up libxcb-present0:armhf (1.12-1) ...
Setting up libfontconfig1:armhf (2.12.6-0.1) ...
Setting up libxcb-dri2-0:armhf (1.12-1) ...
Setting up libsm6:armhf (2:1.2.2-1+b3) ...
Setting up libxcb-dri3-0:armhf (1.12-1) ...
Setting up libk5crypto3:armhf (1.15.2-2) ...
Setting up libxcb-glx0:armhf (1.12-1) ...
Setting up libxcb-xfixes0:armhf (1.12-1) ...
Setting up libxcb-render0:armhf (1.12-1) ...
Setting up libpam-systemd:armhf (236-2) ...
Setting up po-debconf (1.0.20) ...
Setting up libhttp-cookies-perl (6.04-1) ...
Setting up libx11-6:armhf (2:1.6.4-3) ...
Setting up libgl1-mesa-dri:armhf (17.2.5-1+rpi1) ...
Setting up libxmuu1:armhf (2:1.1.2-2) ...
Setting up dbus-user-session (1.12.2-1) ...
Setting up libxcb-sync1:armhf (1.12-1) ...
Setting up libsndfile1:armhf (1.0.28-4) ...
Setting up libxcomposite1:armhf (1:0.4.4-2) ...
Setting up libxcb-shm0:armhf (1.12-1) ...
Setting up libxpm4:armhf (1:3.5.12-1) ...
Setting up libxt6:armhf (1:1.1.5-1) ...
Setting up libxcb-shape0:armhf (1.12-1) ...
Setting up libxrender1:armhf (1:0.9.10-1) ...
Setting up libavahi-client3:armhf (0.7-3) ...
Setting up libkrb5-3:armhf (1.15.2-2) ...
Setting up libxft2:armhf (2.3.2-1+b2) ...
Setting up fontconfig (2.12.6-0.1) ...
Regenerating fonts cache... done.
Setting up libxext6:armhf (2:1.3.3-1+b2) ...
Setting up libxfixes3:armhf (1:5.0.3-1) ...
Setting up dconf-service (0.26.1-2) ...
Setting up libatspi2.0-0:armhf (2.26.2-2) ...
Setting up libgdk-pixbuf2.0-0:armhf (2.36.11-1) ...
Setting up libxmu6:armhf (2:1.1.2-2) ...
Setting up libgssapi-krb5-2:armhf (1.15.2-2) ...
Setting up gtk-update-icon-cache (3.22.26-2+rpi1) ...
Setting up libxcursor1:armhf (1:1.1.15-1) ...
Setting up libxxf86dga1:armhf (2:1.1.4-1) ...
Setting up libpango-1.0-0:armhf (1.40.14-1) ...
Setting up libatk-bridge2.0-0:armhf (2.26.1-1) ...
Setting up libxv1:armhf (2:1.0.11-1) ...
Setting up libxxf86vm1:armhf (1:1.1.4-1+b2) ...
Setting up dconf-gsettings-backend:armhf (0.26.1-2) ...
Setting up libxrandr2:armhf (2:1.5.1-1) ...
Setting up libcups2:armhf (2.2.6-4) ...
Setting up libxi6:armhf (2:1.7.9-1) ...
Setting up libxaw7:armhf (2:1.0.13-1) ...
Setting up libcairo2:armhf (1.15.8-3) ...
Setting up libxinerama1:armhf (2:1.1.3-1+b3) ...
Setting up libxdamage1:armhf (1:1.1.4-3) ...
Setting up gsettings-desktop-schemas (3.24.1-2) ...
Setting up libgtk-3-common (3.22.26-2+rpi1) ...
Setting up libcairo-gobject2:armhf (1.15.8-3) ...
Setting up libxtst6:armhf (2:1.2.3-1) ...
Setting up libpangoft2-1.0-0:armhf (1.40.14-1) ...
Setting up glib-networking:armhf (2.54.1-2) ...
Setting up libgdiplus (4.2-2) ...
Setting up libglx-mesa0:armhf (17.2.5-1+rpi1) ...
Setting up libsoup2.4-1:armhf (2.60.2-2) ...
Setting up libsoup-gnome2.4-1:armhf (2.60.2-2) ...
Setting up libpangocairo-1.0-0:armhf (1.40.14-1) ...
Setting up libpulse0:armhf (11.1-4+b1) ...
Setting up librest-0.7-0:armhf (0.8.0-2) ...
Setting up libglx0:armhf (1.0.0-1) ...
Setting up librsvg2-2:armhf (2.40.20-2) ...
Setting up librsvg2-common:armhf (2.40.20-2) ...
Setting up libgl1:armhf (1.0.0-1) ...
Setting up adwaita-icon-theme (3.26.1-2) ...
update-alternatives: using /usr/share/icons/Adwaita/cursor.theme to provide /usr/share/icons/default/index.theme (x-cursor-theme) in auto mode
Setting up libgtk2.0-0:armhf (2.24.31-5) ...
Setting up x11-utils (7.7+3) ...
Setting up gnome-icon-theme (3.12.0-2) ...
update-alternatives: using /usr/share/icons/gnome/scalable/places/debian-swirl.svg to provide /usr/share/icons/gnome/scalable/places/start-here.svg (start-here.svg) in auto mode
Setting up libgtk-3-0:armhf (3.22.26-2+rpi1) ...
Setting up libgl1-mesa-glx:armhf (17.2.5-1+rpi1) ...
Setting up libatk-wrapper-java (0.33.3-13) ...
Setting up libatk-wrapper-java-jni:armhf (0.33.3-13) ...
Setting up openjdk-8-jre-headless:armhf (8u141-b15-3) ...
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/jre/bin/rmid to provide /usr/bin/rmid (rmid) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/jre/bin/java to provide /usr/bin/java (java) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/jre/bin/keytool to provide /usr/bin/keytool (keytool) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/jre/bin/jjs to provide /usr/bin/jjs (jjs) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/jre/bin/pack200 to provide /usr/bin/pack200 (pack200) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/jre/bin/rmiregistry to provide /usr/bin/rmiregistry (rmiregistry) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/jre/bin/unpack200 to provide /usr/bin/unpack200 (unpack200) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/jre/bin/orbd to provide /usr/bin/orbd (orbd) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/jre/bin/servertool to provide /usr/bin/servertool (servertool) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/jre/bin/tnameserv to provide /usr/bin/tnameserv (tnameserv) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/jre/lib/jexec to provide /usr/bin/jexec (jexec) in auto mode
Setting up libmono-system-xml4.0-cil (4.6.2.7+dfsg-1) ...
Setting up ca-certificates-java (20170930) ...
Adding debian:ACCVRAIZ1.pem
Adding debian:ACEDICOM_Root.pem
Adding debian:Actalis_Authentication_Root_CA.pem
Adding debian:AddTrust_External_Root.pem
Adding debian:AddTrust_Low-Value_Services_Root.pem
Adding debian:AddTrust_Public_Services_Root.pem
Adding debian:AddTrust_Qualified_Certificates_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_R1.pem
Adding debian:CA_Disig_Root_R2.pem
Adding debian:CFCA_EV_ROOT.pem
Adding debian:CNNIC_ROOT.pem
Adding debian:COMODO_Certification_Authority.pem
Adding debian:COMODO_ECC_Certification_Authority.pem
Adding debian:COMODO_RSA_Certification_Authority.pem
Adding debian:Camerfirma_Chambers_of_Commerce_Root.pem
Adding debian:Camerfirma_Global_Chambersign_Root.pem
Adding debian:Certigna.pem
Adding debian:Certinomis_-_Autorité_Racine.pem
Adding debian:Certinomis_-_Root_CA.pem
Adding debian:Certplus_Class_2_Primary_CA.pem
Adding debian:Certplus_Root_CA_G1.pem
Adding debian:Certplus_Root_CA_G2.pem
Adding debian:Certum_Root_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:China_Internet_Network_Information_Center_EV_Certificates_Root.pem
Adding debian:Comodo_AAA_Services_root.pem
Adding debian:Comodo_Secure_Services_root.pem
Adding debian:Comodo_Trusted_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_ACES_CA_X6.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_Global_CA_2.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:OpenTrust_Root_CA_G1.pem
Adding debian:OpenTrust_Root_CA_G2.pem
Adding debian:OpenTrust_Root_CA_G3.pem
Adding debian:PSCProcert.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_EV_RootCA1.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:Swisscom_Root_CA_1.pem
Adding debian:Swisscom_Root_CA_2.pem
Adding debian:Swisscom_Root_EV_CA_2.pem
Adding debian:T-TeleSec_GlobalRoot_Class_2.pem
Adding debian:T-TeleSec_GlobalRoot_Class_3.pem
Adding debian:TURKTRUST_Certificate_Services_Provider_Root_2007.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:TÜBİTAK_UEKAE_Kök_Sertifika_Hizmet_Sağlayıcısı_-_Sürüm_3.pem
Adding debian:TÜRKTRUST_Elektronik_Sertifika_Hizmet_Sağlayıcısı_H5.pem
Adding debian:USERTrust_ECC_Certification_Authority.pem
Adding debian:USERTrust_RSA_Certification_Authority.pem
Adding debian:UTN_USERFirst_Hardware_Root_CA.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:Visa_eCommerce_Root.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
done.
Setting up dh-autoreconf (15) ...
Setting up openjdk-8-jdk-headless:armhf (8u141-b15-3) ...
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/idlj to provide /usr/bin/idlj (idlj) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/jdeps to provide /usr/bin/jdeps (jdeps) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/wsimport to provide /usr/bin/wsimport (wsimport) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/rmic to provide /usr/bin/rmic (rmic) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/jinfo to provide /usr/bin/jinfo (jinfo) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/jsadebugd to provide /usr/bin/jsadebugd (jsadebugd) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/native2ascii to provide /usr/bin/native2ascii (native2ascii) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/jstat to provide /usr/bin/jstat (jstat) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/javac to provide /usr/bin/javac (javac) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/javah to provide /usr/bin/javah (javah) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/jstack to provide /usr/bin/jstack (jstack) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/jrunscript to provide /usr/bin/jrunscript (jrunscript) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/javadoc to provide /usr/bin/javadoc (javadoc) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/jhat to provide /usr/bin/jhat (jhat) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/javap to provide /usr/bin/javap (javap) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/jar to provide /usr/bin/jar (jar) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/xjc to provide /usr/bin/xjc (xjc) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/schemagen to provide /usr/bin/schemagen (schemagen) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/jps to provide /usr/bin/jps (jps) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/extcheck to provide /usr/bin/extcheck (extcheck) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/jmap to provide /usr/bin/jmap (jmap) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/jstatd to provide /usr/bin/jstatd (jstatd) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/jdb to provide /usr/bin/jdb (jdb) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/serialver to provide /usr/bin/serialver (serialver) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/wsgen to provide /usr/bin/wsgen (wsgen) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/jcmd to provide /usr/bin/jcmd (jcmd) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/jarsigner to provide /usr/bin/jarsigner (jarsigner) in auto mode
Setting up libmono-system-security4.0-cil (4.6.2.7+dfsg-1) ...
Setting up liblwp-protocol-https-perl (6.07-2) ...
Setting up ocaml-interp (4.05.0-10+rpi1) ...
Setting up dh-strip-nondeterminism (0.040-1) ...
Setting up libmono-system-configuration4.0-cil (4.6.2.7+dfsg-1) ...
Setting up openjdk-8-jre:armhf (8u141-b15-3) ...
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/jre/bin/policytool to provide /usr/bin/policytool (policytool) in auto mode
Setting up default-jre-headless (2:1.8-59+b4) ...
Setting up default-jdk-headless (2:1.8-59+b4) ...
Setting up libwww-perl (6.31-1) ...
Setting up debhelper (11) ...
Setting up ocaml-nox (4.05.0-10+rpi1) ...
Setting up openjdk-8-jdk:armhf (8u141-b15-3) ...
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/appletviewer to provide /usr/bin/appletviewer (appletviewer) in auto mode
update-alternatives: using /usr/lib/jvm/java-8-openjdk-armhf/bin/jconsole to provide /usr/bin/jconsole (jconsole) in auto mode
Setting up default-jre (2:1.8-59+b4) ...
Setting up libmono-system4.0-cil (4.6.2.7+dfsg-1) ...
Setting up libxml-parser-perl (2.44-2+b2) ...
Setting up javahelper (0.62) ...
Setting up default-jdk (2:1.8-59+b4) ...
Setting up ocaml-compiler-libs (4.05.0-10+rpi1) ...
Setting up libmono-security4.0-cil (4.6.2.7+dfsg-1) ...
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done.
done.
W: No sandbox user '_apt' on the system, can not drop privileges

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

Kernel: Linux 4.4.0-79-generic armhf (armv8l)
Toolchain package versions: binutils_2.29.1-12+rpi1 dpkg-dev_1.19.0.4 g++-7_7.2.0-18 gcc-7_7.2.0-18 libc6-dev_2.25-5+rpi1 libstdc++-7-dev_7.2.0-18 libstdc++6_7.2.0-18 linux-libc-dev_4.9.51-1+rpi3+b1
Package versions: adduser_3.116 adwaita-icon-theme_3.26.1-2 apt_1.6~alpha5+b1 autoconf_2.69-11 automake_1:1.15.1-3 autopoint_0.19.8.1-4 autotools-dev_20171216.1 base-files_10+rpi1 base-passwd_3.5.44 bash_4.4-5 binutils_2.29.1-12+rpi1 binutils-arm-linux-gnueabihf_2.29.1-12+rpi1 binutils-common_2.29.1-12+rpi1 bsdmainutils_11.1.2 bsdutils_1:2.30.2-0.1 build-essential_12.4 bzip2_1.0.6-8.1 ca-certificates_20170717 ca-certificates-java_20170930 cgmanager_0.41-2 cli-common_0.9+nmu1 cli-common-dev_0.9+nmu1 coreutils_8.28-1 cpio_2.12+dfsg-6 cpp_4:7.2.0-1d1 cpp-7_7.2.0-18 dash_0.5.8-2.5 dbus_1.12.2-1 dbus-user-session_1.12.2-1 dconf-gsettings-backend_0.26.1-2 dconf-service_0.26.1-2 dctrl-tools_2.24-2 debconf_1.5.65 debhelper_11 debianutils_4.8.3 default-jdk_2:1.8-59+b4 default-jdk-headless_2:1.8-59+b4 default-jre_2:1.8-59+b4 default-jre-headless_2:1.8-59+b4 devscripts_2.17.12 dh-autoreconf_15 dh-ocaml_1.1.0 dh-python_2.20170125 dh-strip-nondeterminism_0.040-1 diffutils_1:3.6-1 dirmngr_2.2.3-1 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mono-mcs_4.6.2.7+dfsg-1 mono-runtime_4.6.2.7+dfsg-1 mono-runtime-common_4.6.2.7+dfsg-1 mono-runtime-sgen_4.6.2.7+dfsg-1 mono-utils_4.6.2.7+dfsg-1 mono-xbuild_4.6.2.7+dfsg-1 mount_2.30.2-0.1 multiarch-support_2.25-5+rpi1 nano_2.9.1-1 ncurses-base_6.0+20171125-1 ncurses-bin_6.0+20171125-1 netbase_5.4 ocaml-base-nox_4.05.0-10+rpi1 ocaml-compiler-libs_4.05.0-10+rpi1 ocaml-interp_4.05.0-10+rpi1 ocaml-nox_4.05.0-10+rpi1 openjdk-8-jdk_8u141-b15-3 openjdk-8-jdk-headless_8u141-b15-3 openjdk-8-jre_8u141-b15-3 openjdk-8-jre-headless_8u141-b15-3 openssl_1.1.0g-2 passwd_1:4.5-1 patch_2.7.5-1 perl_5.26.1-3 perl-base_5.26.1-3 perl-modules-5.24_5.24.1-7 perl-modules-5.26_5.26.1-3 perl-openssl-defaults_3 pinentry-curses_1.0.0-3 pkg-config_0.29-4 plymouth_0.9.3-1 po-debconf_1.0.20 procps_2:3.3.12-3 python_2.7.14-4 python-minimal_2.7.14-4 python2.7_2.7.14-4 python2.7-minimal_2.7.14-4 python3_3.6.4~rc1-2 python3-distutils_3.6.4~rc1-6 python3-minimal_3.6.4~rc1-2 python3.6_3.6.4-1 python3.6-2to3_3.6.4-1 python3.6-minimal_3.6.4-1 raspbian-archive-keyring_20120528.2 readline-common_7.0-3 sbuild-build-depends-core-dummy_0.invalid.0 sbuild-build-depends-z3-dummy_0.invalid.0 sed_4.4-1 sensible-utils_0.0.11 shared-mime-info_1.9-2 systemd_236-2 systemd-shim_10-3+b4 sysvinit-utils_2.88dsf-59.10 tar_1.29b-2 tzdata_2017c-1 ucf_3.0036 udev_236-1 util-linux_2.30.2-0.1 x11-common_1:7.7+19 x11-utils_7.7+3 xz-utils_5.2.2-1.3 zlib1g_1:1.2.8.dfsg-5

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


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

gpgv: unknown type of key resource 'trustedkeys.kbx'
gpgv: keyblock resource '/sbuild-nonexistent/.gnupg/trustedkeys.kbx': General error
gpgv: Signature made Mon Sep 26 06:08:25 2016 UTC
gpgv:                using RSA key F34F09744E9F5DD9
gpgv: Can't check signature: No public key
dpkg-source: warning: failed to verify signature on ./z3_4.4.1-0.3.dsc
dpkg-source: info: extracting z3 in /<<PKGBUILDDIR>>
dpkg-source: info: unpacking z3_4.4.1.orig.tar.gz
dpkg-source: info: unpacking z3_4.4.1-0.3.debian.tar.xz
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 disk space
----------------

Sufficient free space for build

Hack binNMU version
-------------------

Created changelog entry for binNMU version 4.4.1-0.3+b1

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=112
SCHROOT_GROUP=buildd
SCHROOT_SESSION_ID=buster-staging-armhf-sbuild-1799adae-261e-439a-800f-cf414e299c0b
SCHROOT_UID=107
SCHROOT_USER=buildd
SHELL=/bin/sh
USER=buildd

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

dpkg-buildpackage: info: source package z3
dpkg-buildpackage: info: source version 4.4.1-0.3+b1
dpkg-buildpackage: info: source distribution buster-staging
 dpkg-source --before-build z3-4.4.1
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
   jh_clean -O--parallel
   dh_ocamlclean -O--parallel
   debian/rules override_dh_clean
make[1]: Entering directory '/<<PKGBUILDDIR>>'
dh_clean
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/nlsat/nlsat_params.hpp'
Generated 'src/solver/combined_solver_params.hpp'
Generated 'src/ast/pp_params.hpp'
Generated 'src/ast/pattern/pattern_inference_params_helper.hpp'
Generated 'src/ast/rewriter/bv_rewriter_params.hpp'
Generated 'src/ast/rewriter/array_rewriter_params.hpp'
Generated 'src/ast/rewriter/rewriter_params.hpp'
Generated 'src/ast/rewriter/bool_rewriter_params.hpp'
Generated 'src/ast/rewriter/arith_rewriter_params.hpp'
Generated 'src/ast/rewriter/fpa_rewriter_params.hpp'
Generated 'src/ast/rewriter/poly_rewriter_params.hpp'
Generated 'src/ast/simplifier/array_simplifier_params_helper.hpp'
Generated 'src/ast/simplifier/arith_simplifier_params_helper.hpp'
Generated 'src/ast/simplifier/bv_simplifier_params_helper.hpp'
Generated 'src/ast/normal_forms/nnf_params.hpp'
Generated 'src/ast/fpa/fpa2bv_rewriter_params.hpp'
Generated 'src/tactic/sls/sls_params.hpp'
Generated 'src/muz/base/fixedpoint_params.hpp'
Generated 'src/interp/interp_params.hpp'
Generated 'src/model/model_evaluator_params.hpp'
Generated 'src/model/model_params.hpp'
Generated 'src/smt/params/smt_params_helper.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_scc_params.hpp'
Generated 'src/sat/sat_simplifier_params.hpp'
Generated 'src/sat/sat_params.hpp'
Generated 'src/math/polynomial/algebraic_params.hpp'
Generated 'src/math/realclosure/rcf_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 'z3printer.py'
Copied 'z3types.py'
Copied 'z3rcf.py'
Copied 'z3core.py'
Copied 'z3consts.py'
Copied 'z3.py'
Copied 'z3util.py'
Copied 'z3poly.py'
Copied 'z3test.py'
Copied 'z3num.py'
Generated 'z3printer.pyc'
Generated 'z3.pyc'
Generated 'z3num.pyc'
Generated 'z3test.pyc'
Generated 'z3core.pyc'
Generated 'z3poly.pyc'
Generated 'z3types.pyc'
Generated 'z3util.pyc'
Generated 'z3consts.pyc'
Generated 'z3rcf.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-8-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=-Wl,-z,relro -Wl,-z,now -Wl,-soname,libz3.so.4 -fPIC -shared/' build/config.mk
sed -i 's/^CXXFLAGS=/CXXFLAGS=-fPIC /' build/config.mk
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/luby.cpp
src/util/scoped_ctrl_c.cpp
src/util/approx_nat.cpp
src/util/common_msgs.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/cooperate.cpp
src/util/z3_exception.cpp
src/util/page.cpp
src/util/memory_manager.cpp
src/util/timeit.cpp
src/util/approx_set.cpp
ocamlc -I api/ml -c api/ml/z3enums.mli
src/api/api_commands.cpp
src/api/api_log.cpp
src/util/timer.cpp
src/util/stack.cpp
src/util/lbool.cpp
src/util/bit_util.cpp
src/util/scoped_timer.cpp
src/util/util.cpp
src/util/timeout.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/util/fixed_bit_vector.cpp
src/util/hash.cpp
src/util/mpn.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/util/prime_generator.cpp
src/util/debug.cpp
src/util/permutation.cpp
src/util/rlimit.cpp
src/util/warning.cpp
src/util/trace.cpp
src/util/bit_vector.cpp
src/util/statistics.cpp
src/util/cmd_context_types.cpp
src/util/small_object_allocator.cpp
src/util/symbol.cpp
src/util/smt2_util.cpp
src/util/region.cpp
ocamlc -a -o api/ml/z3.ml -o api/ml/z3.cma
src/api/api_log_macros.cpp
src/interp/iz3scopes.cpp
src/sat/sat_clause_set.cpp
src/sat/sat_clause_use_list.cpp
src/sat/sat_clause.cpp
src/sat/sat_model_converter.cpp
src/sat/sat_watched.cpp
src/util/mpz.cpp
src/smt/params/qi_params.cpp
src/smt/params/theory_arith_params.cpp
src/smt/params/theory_bv_params.cpp
src/smt/params/dyn_ack_params.cpp
src/smt/params/theory_pb_params.cpp
src/ast/pattern/pattern_inference_params.cpp
src/math/euclid/euclidean_solver.cpp
src/math/realclosure/mpz_matrix.cpp
src/math/interval/interval_mpq.cpp
src/util/env_params.cpp
src/util/gparams.cpp
src/util/mpff.cpp
src/util/mpf.cpp
src/util/mpq.cpp
src/util/mpq_inf.cpp
src/util/mpfx.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/ast/simplifier/arith_simplifier_params.cpp
src/ast/simplifier/array_simplifier_params.cpp
src/ast/simplifier/bv_simplifier_params.cpp
src/tactic/arith/linear_equation.cpp
src/math/subpaving/subpaving.cpp
src/math/subpaving/subpaving_mpff.cpp
src/math/subpaving/subpaving_mpf.cpp
src/math/subpaving/subpaving_hwf.cpp
src/math/subpaving/subpaving_mpq.cpp
src/math/realclosure/realclosure.cpp
src/sat/sat_config.cpp
src/util/params.cpp
src/util/rational.cpp
src/util/inf_rational.cpp
src/util/s_integer.cpp
src/util/sexpr.cpp
src/util/inf_int_rational.cpp
src/util/mpbq.cpp
src/api/dll/mem_initializer.cpp
src/muz/base/bind_variables.cpp
src/smt/user_plugin/user_decl_plugin.cpp
src/tactic/arith/bound_propagator.cpp
src/parsers/util/simple_parser.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/ast/decl_collector.cpp
src/ast/has_free_vars.cpp
src/ast/expr_substitution.cpp
src/ast/num_occurs.cpp
src/ast/expr_abstract.cpp
src/ast/ast_lt.cpp
src/ast/for_each_ast.cpp
src/ast/pb_decl_plugin.cpp
src/ast/used_vars.cpp
src/math/subpaving/subpaving_mpfx.cpp
src/math/simplex/simplex.cpp
src/math/hilbert/hilbert_basis.cpp
src/sat/sat_simplifier.cpp
src/sat/sat_solver.cpp
src/sat/sat_sls.cpp
src/sat/sat_integrity_checker.cpp
src/sat/sat_asymm_branch.cpp
src/sat/sat_mus.cpp
src/sat/sat_scc.cpp
src/sat/sat_bceq.cpp
src/sat/sat_elim_eqs.cpp
src/sat/sat_iff3_finder.cpp
src/sat/sat_probing.cpp
src/sat/dimacs.cpp
src/sat/sat_cleaner.cpp
src/util/inf_s_integer.cpp
src/shell/dimacs_frontend.cpp
src/opt/hitting_sets.cpp
src/muz/rel/tbv.cpp
src/qe/qe_util.cpp
src/smt/uses_theory.cpp
src/smt/smt_quantifier_stat.cpp
src/smt/smt_value_sort.cpp
src/smt/proto_model/value_factory.cpp
src/smt/params/smt_params.cpp
src/ast/simplifier/simplifier_plugin.cpp
src/cmd_context/pdecl.cpp
src/math/subpaving/tactic/expr2subpaving.cpp
src/parsers/util/cost_parser.cpp
src/ast/rewriter/datatype_rewriter.cpp
src/ast/rewriter/fpa_rewriter.cpp
src/ast/rewriter/expr_safe_replace.cpp
src/ast/expr_map.cpp
src/ast/format.cpp
src/ast/fpa_decl_plugin.cpp
src/ast/seq_decl_plugin.cpp
src/ast/macro_substitution.cpp
src/ast/occurs.cpp
src/ast/func_decl_dependencies.cpp
src/ast/expr_functors.cpp
src/ast/ast_smt_pp.cpp
src/ast/expr_stat.cpp
src/ast/ast_ll_pp.cpp
src/ast/reg_decl_plugins.cpp
src/ast/for_each_expr.cpp
src/ast/act_cache.cpp
src/ast/ast_translation.cpp
src/ast/ast_util.cpp
src/nlsat/nlsat_types.cpp
src/math/polynomial/polynomial_cache.cpp
src/parsers/smt/smtlib.cpp
src/smt/user_plugin/user_simplifier_plugin.cpp
src/smt/smt_literal.cpp
src/smt/arith_eq_solver.cpp
src/smt/cost_evaluator.cpp
src/smt/smt_farkas_util.cpp
src/smt/proto_model/numeral_factory.cpp
src/ast/fpa/fpa2bv_converter.cpp
src/ast/simplifier/datatype_simplifier_plugin.cpp
src/ast/simplifier/fpa_simplifier_plugin.cpp
src/ast/simplifier/poly_simplifier_plugin.cpp
src/ast/simplifier/distribute_forall.cpp
src/ast/simplifier/basic_simplifier_plugin.cpp
src/ast/simplifier/inj_axiom.cpp
src/ast/proof_checker/proof_checker.cpp
src/cmd_context/check_logic.cpp
src/cmd_context/tactic_manager.cpp
src/interp/iz3mgr.cpp
src/tactic/arith/bv2real_rewriter.cpp
src/math/grobner/grobner.cpp
src/parsers/util/pattern_validation.cpp
src/ast/substitution/substitution.cpp
src/ast/substitution/substitution_tree.cpp
src/ast/substitution/matcher.cpp
src/ast/substitution/unifier.cpp
src/tactic/equiv_proof_converter.cpp
src/tactic/proof_converter.cpp
src/tactic/replace_proof_converter.cpp
src/model/func_interp.cpp
src/ast/normal_forms/name_exprs.cpp
src/ast/normal_forms/pull_quant.cpp
src/ast/normal_forms/defined_names.cpp
src/ast/normal_forms/nnf.cpp
src/ast/rewriter/der.cpp
src/ast/rewriter/mk_simplified_app.cpp
src/ast/rewriter/pb_rewriter.cpp
src/ast/rewriter/expr_replacer.cpp
src/ast/rewriter/arith_rewriter.cpp
src/ast/rewriter/bool_rewriter.cpp
src/ast/rewriter/ast_counter.cpp
src/ast/rewriter/bv_rewriter.cpp
src/ast/rewriter/factor_rewriter.cpp
src/ast/rewriter/th_rewriter.cpp
src/ast/rewriter/quant_hoist.cpp
src/ast/rewriter/rewriter.cpp
src/ast/rewriter/dl_rewriter.cpp
src/ast/rewriter/var_subst.cpp
src/ast/rewriter/array_rewriter.cpp
src/ast/static_features.cpp
src/ast/expr2polynomial.cpp
src/ast/ast.cpp
src/ast/array_decl_plugin.cpp
src/ast/datatype_decl_plugin.cpp
src/ast/shared_occs.cpp
src/ast/ast_smt2_pp.cpp
src/ast/well_sorted.cpp
src/ast/dl_decl_plugin.cpp
src/ast/ast_pp_util.cpp
src/ast/pp.cpp
src/ast/bv_decl_plugin.cpp
src/ast/arith_decl_plugin.cpp
src/ast/expr2var.cpp
src/nlsat/nlsat_clause.cpp
src/nlsat/nlsat_interval_set.cpp
src/math/polynomial/upolynomial.cpp
src/math/polynomial/algebraic_numbers.cpp
src/math/polynomial/rpolynomial.cpp
src/math/polynomial/polynomial_factorization.cpp
src/api/dll/gparams_register_modules.cpp
src/shell/main.cpp
src/shell/gparams_register_modules.cpp
src/parsers/smt/smtparser.cpp
src/tactic/ufbv/ufbv_rewriter.cpp
src/smt/fingerprints.cpp
src/ast/rewriter/bit_blaster/bit_blaster.cpp
src/ast/rewriter/bit_blaster/bit_blaster_rewriter.cpp
src/ast/simplifier/arith_simplifier_plugin.cpp
src/ast/simplifier/bv_simplifier_plugin.cpp
src/interp/iz3pp.cpp
src/tactic/aig/aig.cpp
src/tactic/arith/bound_manager.cpp
src/sat/tactic/atom2bool_var.cpp
src/tactic/goal_shared_occs.cpp
src/tactic/goal_util.cpp
src/tactic/goal.cpp
src/tactic/goal_num_occurs.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/ast_printer.cpp
src/math/polynomial/sexpr2upolynomial.cpp
src/math/polynomial/polynomial.cpp
src/math/polynomial/upolynomial_factorization.cpp
src/qe/nlarith_util.cpp
src/qe/qe_array_plugin.cpp
src/qe/qe_datatype_plugin.cpp
src/qe/qe_dl_plugin.cpp
src/qe/qe_bool_plugin.cpp
src/qe/qe_bv_plugin.cpp
src/smt/smt_clause.cpp
src/smt/theory_opt.cpp
src/smt/cached_var_subst.cpp
src/smt/smt_cg_table.cpp
src/smt/watch_list.cpp
src/smt/smt_almost_cg_table.cpp
src/smt/proto_model/datatype_factory.cpp
src/smt/proto_model/proto_model.cpp
src/smt/proto_model/array_factory.cpp
src/smt/proto_model/struct_factory.cpp
src/ast/pattern/pattern_inference.cpp
src/ast/simplifier/bv_elim.cpp
src/ast/simplifier/push_app_ite.cpp
src/ast/simplifier/simplifier.cpp
src/ast/simplifier/bit2int.cpp
src/ast/simplifier/elim_bounds.cpp
src/ast/simplifier/pull_ite_tree.cpp
src/ast/simplifier/array_simplifier_plugin.cpp
src/interp/iz3proof_itp.cpp
src/interp/iz3proof.cpp
src/tactic/arith/bv2int_rewriter.cpp
src/tactic/arith/probe_arith.cpp
src/tactic/probe.cpp
src/model/model2expr.cpp
src/model/model.cpp
src/model/model_evaluator.cpp
src/model/model_implicant.cpp
src/nlsat/nlsat_explain.cpp
src/nlsat/nlsat_evaluator.cpp
src/nlsat/nlsat_solver.cpp
src/api/api_goal.cpp
src/api/api_datatype.cpp
src/api/api_ast_map.cpp
src/api/api_rcf.cpp
src/api/api_algebraic.cpp
src/api/api_numeral.cpp
src/opt/pb_sls.cpp
src/muz/pdr/pdr_sym_mux.cpp
src/muz/rel/doc.cpp
src/muz/base/dl_boogie_proof.cpp
src/qe/vsubst_tactic.cpp
src/qe/qe_arith.cpp
src/qe/qe_arith_plugin.cpp
src/tactic/bv/bit_blaster_model_converter.cpp
src/smt/elim_term_ite.cpp
src/smt/expr_context_simplifier.cpp
src/ast/macros/macro_util.cpp
src/ast/simplifier/maximise_ac_sharing.cpp
src/interp/iz3foci.cpp
src/solver/check_sat_result.cpp
src/tactic/arith/arith_bounds_tactic.cpp
src/tactic/arith/pb2bv_model_converter.cpp
src/tactic/core/cofactor_elim_term_ite.cpp
src/tactic/tactic.cpp
src/tactic/extension_model_converter.cpp
src/tactic/model_converter.cpp
src/tactic/horn_subsume_model_converter.cpp
src/api/api_polynomial.cpp
src/api/api_model.cpp
src/api/api_stats.cpp
src/api/api_fpa.cpp
src/api/api_pb.cpp
src/api/api_solver_old.cpp
src/api/api_array.cpp
src/api/api_ast.cpp
src/api/api_context.cpp
src/api/api_arith.cpp
src/api/api_quant.cpp
src/api/api_params.cpp
src/api/api_bv.cpp
src/api/api_ast_vector.cpp
src/api/api_user_theory.cpp
src/api/api_tactic.cpp
src/opt/opt_pareto.cpp
src/opt/mss.cpp
src/opt/mus.cpp
src/tactic/ufbv/ufbv_rewriter_tactic.cpp
src/tactic/fpa/fpa2bv_model_converter.cpp
src/tactic/nlsat_smt/nl_purify_tactic.cpp
src/muz/pdr/pdr_farkas_learner.cpp
src/muz/base/proof_utils.cpp
src/muz/base/hnf.cpp
src/duality/duality_wrapper.cpp
src/duality/duality_profiling.cpp
src/qe/qe_lite.cpp
src/qe/qe_tactic.cpp
src/qe/qe_sat_tactic.cpp
src/smt/tactic/smt_tactic.cpp
src/smt/tactic/ctx_solver_simplify_tactic.cpp
src/tactic/bv/bv_size_reduction_tactic.cpp
src/tactic/bv/bit_blaster_tactic.cpp
src/tactic/bv/max_bv_sharing_tactic.cpp
src/tactic/bv/bv1_blaster_tactic.cpp
src/smt/smt_implied_equalities.cpp
src/ast/macros/quasi_macros.cpp
src/ast/macros/macro_manager.cpp
src/cmd_context/context_params.cpp
src/interp/iz3base.cpp
src/interp/iz3interp.cpp
src/interp/iz3checker.cpp
src/interp/iz3translate.cpp
src/interp/iz3translate_direct.cpp
src/solver/combined_solver.cpp
src/solver/solver.cpp
src/tactic/aig/aig_tactic.cpp
src/nlsat/tactic/nlsat_tactic.cpp
src/nlsat/tactic/goal2nlsat.cpp
src/tactic/arith/lia2pb_tactic.cpp
src/tactic/arith/pb2bv_tactic.cpp
src/tactic/arith/card2bv_tactic.cpp
src/tactic/arith/eq2bv_tactic.cpp
src/tactic/arith/add_bounds_tactic.cpp
src/tactic/arith/fix_dl_var_tactic.cpp
src/tactic/arith/factor_tactic.cpp
src/tactic/arith/nla2bv_tactic.cpp
src/tactic/arith/normalize_bounds_tactic.cpp
src/tactic/arith/lia2card_tactic.cpp
src/tactic/arith/elim01_tactic.cpp
src/tactic/arith/recover_01_tactic.cpp
src/tactic/arith/diff_neq_tactic.cpp
src/sat/tactic/sat_tactic.cpp
src/sat/tactic/goal2sat.cpp
src/tactic/core/der_tactic.cpp
src/tactic/core/solve_eqs_tactic.cpp
src/tactic/core/symmetry_reduce_tactic.cpp
src/tactic/core/nnf_tactic.cpp
src/tactic/core/cofactor_term_ite_tactic.cpp
src/tactic/core/reduce_args_tactic.cpp
src/tactic/core/propagate_values_tactic.cpp
src/tactic/core/elim_term_ite_tactic.cpp
src/tactic/core/pb_preprocess_tactic.cpp
src/tactic/core/elim_uncnstr_tactic.cpp
src/tactic/core/distribute_forall_tactic.cpp
src/tactic/core/split_clause_tactic.cpp
src/tactic/core/occf_tactic.cpp
src/tactic/core/blast_term_ite_tactic.cpp
src/tactic/tactical.cpp
src/tactic/filter_model_converter.cpp
src/api/api_config_params.cpp
src/api/api_solver.cpp
src/api/api_interp.cpp
src/parsers/smt/smtlib_solver.cpp
src/tactic/portfolio/smt_strategic_solver.cpp
src/tactic/portfolio/default_tactic.cpp
src/sat/sat_solver/inc_sat_solver.cpp
src/tactic/ufbv/ufbv_tactic.cpp
src/tactic/ufbv/macro_finder_tactic.cpp
src/tactic/ufbv/quasi_macros_tactic.cpp
src/tactic/fpa/fpa2bv_tactic.cpp
src/tactic/fpa/qffp_tactic.cpp
src/tactic/smtlogics/qfbv_tactic.cpp
src/tactic/smtlogics/qflra_tactic.cpp
src/tactic/smtlogics/qfufnra_tactic.cpp
src/tactic/smtlogics/nra_tactic.cpp
src/tactic/smtlogics/qfidl_tactic.cpp
src/tactic/smtlogics/qfufbv_tactic.cpp
src/tactic/smtlogics/quant_tactics.cpp
src/tactic/smtlogics/qfaufbv_tactic.cpp
src/tactic/smtlogics/qfnra_tactic.cpp
src/tactic/smtlogics/qflia_tactic.cpp
src/tactic/smtlogics/qfauflia_tactic.cpp
src/tactic/smtlogics/qfuf_tactic.cpp
src/tactic/smtlogics/qfnia_tactic.cpp
src/muz/pdr/pdr_smt_context_manager.cpp
src/muz/pdr/pdr_util.cpp
src/muz/pdr/pdr_manager.cpp
src/duality/duality_rpfp.cpp
src/duality/duality_solver.cpp
src/qe/qe_cmd.cpp
src/tactic/sls/sls_tactic.cpp
src/tactic/sls/sls_engine.cpp
src/smt/smt_solver.cpp
src/ast/macros/macro_finder.cpp
src/cmd_context/extra_cmds/polynomial_cmds.cpp
src/cmd_context/extra_cmds/subpaving_cmds.cpp
src/cmd_context/extra_cmds/dbg_cmds.cpp
src/cmd_context/tactic_cmds.cpp
src/cmd_context/cmd_context_to_goal.cpp
src/cmd_context/basic_cmds.cpp
src/cmd_context/parametric_cmd.cpp
src/cmd_context/cmd_context.cpp
src/cmd_context/cmd_util.cpp
src/cmd_context/eval_cmd.cpp
src/cmd_context/simplify_cmd.cpp
src/cmd_context/echo_tactic.cpp
src/cmd_context/interpolant_cmds.cpp
src/solver/tactic2solver.cpp
src/solver/solver_na2as.cpp
src/math/subpaving/tactic/subpaving_tactic.cpp
src/nlsat/tactic/qfnra_nlsat_tactic.cpp
src/tactic/arith/degree_shift_tactic.cpp
src/tactic/arith/propagate_ineqs_tactic.cpp
src/tactic/arith/purify_arith_tactic.cpp
src/tactic/arith/fm_tactic.cpp
src/tactic/core/ctx_simplify_tactic.cpp
src/tactic/core/simplify_tactic.cpp
src/tactic/core/tseitin_cnf_tactic.cpp
src/api/dll/install_tactic.cpp
src/shell/install_tactic.cpp
src/api/api_parsers.cpp
src/muz/pdr/pdr_reachable_cache.cpp
src/tactic/sls/bvsls_opt_engine.cpp
src/smt/asserted_formulas.cpp
src/ast/pattern/expr_pattern_match.cpp
src/parsers/smt2/smt2scanner.cpp
src/parsers/smt2/smt2parser.cpp
src/shell/smtlib_frontend.cpp
src/opt/optsmt.cpp
src/opt/opt_solver.cpp
In file included from ../src/opt/optsmt.cpp:35:0:
../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:29:0,
                 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:35:0:
../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:29:0,
                 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:35:0:
../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:29:0,
                 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:35:0:
../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:29:0,
                 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/muz/pdr/pdr_prop_solver.cpp
src/muz/pdr/pdr_closure.cpp
src/qe/qe.cpp
src/smt/tactic/unit_subsumption_tactic.cpp
src/smt/user_plugin/user_smt_theory.cpp
src/smt/theory_array_full.cpp
src/smt/smt_for_each_relevant_expr.cpp
src/smt/smt_context.cpp
src/smt/theory_wmaxsat.cpp
src/smt/arith_eq_adapter.cpp
src/smt/smt_conflict_resolution.cpp
src/smt/smt_checker.cpp
src/smt/smt_quick_checker.cpp
src/smt/theory_array.cpp
src/smt/smt_kernel.cpp
src/smt/smt_context_inv.cpp
src/smt/smt_context_pp.cpp
src/smt/dyn_ack.cpp
src/smt/smt_context_stat.cpp
src/smt/smt_model_generator.cpp
src/smt/theory_datatype.cpp
src/smt/theory_dl.cpp
src/smt/theory_fpa.cpp
src/smt/smt_setup.cpp
src/smt/theory_dummy.cpp
src/smt/theory_array_base.cpp
src/smt/smt_model_finder.cpp
src/smt/smt_relevancy.cpp
src/smt/theory_pb.cpp
src/smt/theory_bv.cpp
src/smt/smt_case_split_queue.cpp
src/smt/smt_quantifier.cpp
src/smt/smt_model_checker.cpp
src/smt/smt_enode.cpp
src/smt/mam.cpp
src/smt/smt_justification.cpp
src/smt/smt_internalizer.cpp
src/smt/qi_queue.cpp
src/smt/smt_theory.cpp
src/opt/bcd2.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_generalizers.cpp
src/muz/pdr/pdr_context.cpp
src/muz/transforms/dl_mk_karr_invariants.cpp
src/muz/transforms/dl_mk_separate_negated_tails.cpp
src/muz/transforms/dl_mk_slice.cpp
src/muz/transforms/dl_mk_quantifier_instantiation.cpp
src/muz/transforms/dl_mk_loop_counter.cpp
src/muz/transforms/dl_mk_magic_sets.cpp
src/muz/transforms/dl_mk_rule_inliner.cpp
src/muz/transforms/dl_mk_interp_tail_simplifier.cpp
src/muz/transforms/dl_mk_quantifier_abstraction.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_array_blast.cpp
src/muz/transforms/dl_mk_scale.cpp
src/muz/transforms/dl_mk_magic_symbolic.cpp
src/muz/transforms/dl_mk_unbound_compressor.cpp
src/muz/transforms/dl_mk_backwards.cpp
src/muz/dataflow/dataflow.cpp
src/muz/base/dl_util.cpp
src/muz/base/dl_rule_set.cpp
src/muz/base/dl_rule_subsumption_index.cpp
src/muz/base/dl_context.cpp
src/muz/base/rule_properties.cpp
src/muz/base/dl_rule.cpp
src/muz/base/dl_rule_transformer.cpp
src/muz/base/dl_costs.cpp
src/smt/theory_utvpi.cpp
src/smt/theory_diff_logic.cpp
src/smt/theory_dense_diff_logic.cpp
src/api/api_opt.cpp
src/opt/maxsmt.cpp
src/opt/maxsls.cpp
src/opt/fu_malik.cpp
src/opt/maxres.cpp
src/opt/opt_context.cpp
src/opt/opt_cmds.cpp
src/opt/wmax.cpp
src/opt/maxhs.cpp
src/muz/fp/horn_tactic.cpp
src/muz/pdr/pdr_dl_interface.cpp
src/muz/rel/dl_external_relation.cpp
src/muz/transforms/dl_transforms.cpp
src/muz/transforms/dl_mk_coalesce.cpp
src/muz/transforms/dl_mk_subsumption_checker.cpp
src/muz/transforms/dl_mk_unfold.cpp
src/smt/theory_arith.cpp
src/shell/opt_frontend.cpp
In file included from ../src/smt/theory_arith_def.h:22:0,
                 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:23:0,
                 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:22:0,
                 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:23:0,
                 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:22:0,
                 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:23:0,
                 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:22:0,
                 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:23:0,
                 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/muz/fp/dl_register_engine.cpp
src/muz/duality/duality_dl_interface.cpp
src/muz/rel/dl_mk_partial_equiv.cpp
src/muz/rel/dl_lazy_table.cpp
src/muz/rel/dl_instruction.cpp
src/muz/rel/dl_mk_simple_joins.cpp
src/muz/rel/check_relation.cpp
src/muz/rel/dl_table.cpp
src/muz/rel/dl_base.cpp
src/muz/rel/dl_table_relation.cpp
src/muz/rel/dl_sparse_table.cpp
src/muz/rel/aig_exporter.cpp
src/muz/rel/dl_sieve_relation.cpp
src/muz/rel/dl_interval_relation.cpp
src/muz/rel/udoc_relation.cpp
src/muz/rel/dl_mk_similarity_compressor.cpp
src/api/api_datalog.cpp
src/muz/fp/dl_cmds.cpp
src/muz/rel/karr_relation.cpp
src/muz/rel/dl_product_relation.cpp
src/muz/rel/dl_compiler.cpp
src/muz/rel/dl_check_table.cpp
src/muz/rel/dl_mk_explanations.cpp
src/muz/rel/dl_bound_relation.cpp
src/muz/rel/dl_relation_manager.cpp
src/muz/rel/dl_finite_product_relation.cpp
src/shell/datalog_frontend.cpp
src/muz/rel/rel_context.cpp
g++ -o z3  shell/main.o shell/gparams_register_modules.o shell/z3_log_frontend.o shell/smtlib_frontend.o shell/mem_initializer.o shell/opt_frontend.o shell/dimacs_frontend.o shell/install_tactic.o shell/datalog_frontend.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 -Wl,-soname,libz3.so.4 -fPIC -shared api/dll/gparams_register_modules.o api/dll/mem_initializer.o api/dll/install_tactic.o api/dll/dll.o api/api_parsers.o api/api_polynomial.o api/api_model.o api/api_opt.o api/api_stats.o api/api_log_macros.o api/api_fpa.o api/api_pb.o api/api_solver_old.o api/api_config_params.o api/api_array.o api/api_ast.o api/z3_replayer.o api/api_context.o api/api_arith.o api/api_quant.o api/api_params.o api/api_commands.o api/api_bv.o api/api_ast_vector.o api/api_solver.o api/api_user_theory.o api/api_tactic.o api/api_goal.o api/api_log.o api/api_datatype.o api/api_ast_map.o api/api_datalog.o api/api_rcf.o api/api_algebraic.o api/api_interp.o api/api_numeral.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/Sort.cs ../src/api/dotnet/Z3Exception.cs ../src/api/dotnet/Quantifier.cs ../src/api/dotnet/Native.cs ../src/api/dotnet/Expr.cs ../src/api/dotnet/IntExpr.cs ../src/api/dotnet/StringSymbol.cs ../src/api/dotnet/Status.cs ../src/api/dotnet/FPRMSort.cs ../src/api/dotnet/FPRMExpr.cs ../src/api/dotnet/ListSort.cs ../src/api/dotnet/AST.cs ../src/api/dotnet/IntSort.cs ../src/api/dotnet/ASTVector.cs ../src/api/dotnet/ParamDescrs.cs ../src/api/dotnet/ArithSort.cs ../src/api/dotnet/FPSort.cs ../src/api/dotnet/BitVecExpr.cs ../src/api/dotnet/Model.cs ../src/api/dotnet/Goal.cs ../src/api/dotnet/Context.cs ../src/api/dotnet/IDecRefQueue.cs ../src/api/dotnet/IntNum.cs ../src/api/dotnet/FPExpr.cs ../src/api/dotnet/Log.cs ../src/api/dotnet/Global.cs ../src/api/dotnet/IntSymbol.cs ../src/api/dotnet/BitVecNum.cs ../src/api/dotnet/ConstructorList.cs ../src/api/dotnet/Version.cs ../src/api/dotnet/RealExpr.cs ../src/api/dotnet/FuncInterp.cs ../src/api/dotnet/Fixedpoint.cs ../src/api/dotnet/InterpolationContext.cs ../src/api/dotnet/RatNum.cs ../src/api/dotnet/EnumSort.cs ../src/api/dotnet/SetSort.cs ../src/api/dotnet/ArraySort.cs ../src/api/dotnet/Tactic.cs ../src/api/dotnet/FPRMNum.cs ../src/api/dotnet/DatatypeSort.cs ../src/api/dotnet/ArithExpr.cs ../src/api/dotnet/FPNum.cs ../src/api/dotnet/ApplyResult.cs ../src/api/dotnet/Solver.cs ../src/api/dotnet/RelationSort.cs ../src/api/dotnet/Optimize.cs ../src/api/dotnet/Probe.cs ../src/api/dotnet/FuncDecl.cs ../src/api/dotnet/ASTMap.cs ../src/api/dotnet/Params.cs ../src/api/dotnet/BoolSort.cs ../src/api/dotnet/TupleSort.cs ../src/api/dotnet/Constructor.cs ../src/api/dotnet/Pattern.cs ../src/api/dotnet/DatatypeExpr.cs ../src/api/dotnet/ArrayExpr.cs ../src/api/dotnet/Z3Object.cs ../src/api/dotnet/AlgebraicNum.cs ../src/api/dotnet/Enumerations.cs ../src/api/dotnet/FiniteDomainSort.cs ../src/api/dotnet/RealSort.cs ../src/api/dotnet/BoolExpr.cs ../src/api/dotnet/Symbol.cs ../src/api/dotnet/Statistics.cs ../src/api/dotnet/UninterpretedSort.cs ../src/api/dotnet/BitVecSort.cs ../src/api/dotnet/Deprecated.cs ../src/api/dotnet/Properties/AssemblyInfo.cs
g++ -fPIC -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-8-openjdk-armhf/include" -I"/usr/lib/jvm/java-8-openjdk-armhf/include/linux" -I../src/api ../src/api/java/Native.cpp
gcc -fPIC -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
Compilation succeeded - 1 warning(s)
g++ -o libz3java.so -Wl,-z,relro -Wl,-z,now -Wl,-soname,libz3.so.4 -fPIC -shared api/java/Native.o libz3.so
"/usr/bin/javac" ../src/api/java/enumerations/*.java -d api/java/classes
"/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
"/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/rcf.cpp
src/test/smt_context.cpp
src/test/hashtable.cpp
src/test/polynomial.cpp
src/test/heap.cpp
src/test/simple_parser.cpp
src/test/string_buffer.cpp
src/test/prime_generator.cpp
src/test/f2n.cpp
src/test/arith_simplifier_plugin.cpp
src/test/old_interval.cpp
src/test/simplifier.cpp
src/test/main.cpp
src/test/symbol_table.cpp
src/test/vector.cpp
src/test/ddnf.cpp
src/test/optional.cpp
src/test/gparams_register_modules.cpp
src/test/bv_simplifier_plugin.cpp
src/test/rational.cpp
src/test/fixed_bit_vector.cpp
src/test/dl_util.cpp
src/test/buffer.cpp
src/test/upolynomial.cpp
src/test/tbv.cpp
src/test/nlarith_util.cpp
src/test/smt2print_parse.cpp
src/test/ast.cpp
src/test/permutation.cpp
src/test/mpz.cpp
src/test/dl_table.cpp
src/test/uint_set.cpp
src/test/trigo.cpp
src/test/arith_rewriter.cpp
src/test/sorting_network.cpp
src/test/proof_checker.cpp
src/test/quant_solve.cpp
src/test/polynorm.cpp
src/test/for_each_file.cpp
src/test/dl_query.cpp
src/test/escaped.cpp
src/test/inf_rational.cpp
src/test/ext_numeral.cpp
src/test/parray.cpp
src/test/model_retrieval.cpp
src/test/substitution.cpp
src/test/dl_context.cpp
src/test/sat_user_scope.cpp
src/test/ex.cpp
src/test/matcher.cpp
src/test/check_assumptions.cpp
src/test/dl_product_relation.cpp
src/test/theory_dl.cpp
src/test/factor_rewriter.cpp
src/test/datalog_parser.cpp
src/test/api_bug.cpp
src/test/nlsat.cpp
src/test/total_order.cpp
src/test/hilbert_basis.cpp
src/test/mem_initializer.cpp
src/test/object_allocator.cpp
src/test/interval.cpp
src/test/memory.cpp
src/test/bit_vector.cpp
src/test/no_overflow.cpp
src/test/stack.cpp
src/test/mpff.cpp
src/test/theory_pb.cpp
src/test/expr_rand.cpp
src/test/map.cpp
src/test/expr_substitution.cpp
src/test/algebraic.cpp
src/test/list.cpp
src/test/model2expr.cpp
src/test/quant_elim.cpp
src/test/bit_blaster.cpp
src/test/install_tactic.cpp
src/test/mpf.cpp
src/test/horn_subsume_model_converter.cpp
src/test/mpq.cpp
src/test/heap_trie.cpp
src/test/small_object_allocator.cpp
src/test/var_subst.cpp
src/test/mpfx.cpp
src/test/chashtable.cpp
src/test/diff_logic.cpp
src/test/pdr.cpp
src/test/bits.cpp
src/test/hwf.cpp
src/test/random.cpp
src/test/karr.cpp
src/test/timeout.cpp
src/test/get_implied_equalities.cpp
src/test/qe_arith.cpp
src/test/api.cpp
src/test/doc.cpp
src/test/dl_relation.cpp
src/test/symbol.cpp
src/test/udoc_relation.cpp
src/test/simplex.cpp
src/test/polynomial_factorization.cpp
src/test/mpbq.cpp
src/test/region.cpp
src/test/fuzzing/expr_delta.cpp
src/test/fuzzing/expr_rand.cpp
g++ -o test-z3  test/rcf.o test/smt_context.o test/hashtable.o test/polynomial.o test/heap.o test/simple_parser.o test/string_buffer.o test/prime_generator.o test/f2n.o test/arith_simplifier_plugin.o test/old_interval.o test/simplifier.o test/main.o test/symbol_table.o test/vector.o test/ddnf.o test/optional.o test/gparams_register_modules.o test/bv_simplifier_plugin.o test/rational.o test/fixed_bit_vector.o test/dl_util.o test/buffer.o test/upolynomial.o test/tbv.o test/nlarith_util.o test/smt2print_parse.o test/ast.o test/permutation.o test/mpz.o test/dl_table.o test/uint_set.o test/trigo.o test/arith_rewriter.o test/sorting_network.o test/proof_checker.o test/quant_solve.o test/polynorm.o test/for_each_file.o test/dl_query.o test/escaped.o test/inf_rational.o test/ext_numeral.o test/parray.o test/model_retrieval.o test/substitution.o test/dl_context.o test/sat_user_scope.o test/ex.o test/matcher.o test/check_assumptions.o test/dl_product_relation.o test/theory_dl.o test/factor_rewriter.o test/datalog_parser.o test/api_bug.o test/nlsat.o test/total_order.o test/hilbert_basis.o test/mem_initializer.o test/object_allocator.o test/interval.o test/memory.o test/bit_vector.o test/no_overflow.o test/stack.o test/mpff.o test/theory_pb.o test/expr_rand.o test/map.o test/expr_substitution.o test/algebraic.o test/list.o test/model2expr.o test/quant_elim.o test/bit_blaster.o test/install_tactic.o test/mpf.o test/horn_subsume_model_converter.o test/mpq.o test/heap_trie.o test/small_object_allocator.o test/var_subst.o test/mpfx.o test/chashtable.o test/diff_logic.o test/pdr.o test/bits.o test/hwf.o test/random.o test/karr.o test/timeout.o test/get_implied_equalities.o test/qe_arith.o test/api.o test/doc.o test/dl_relation.o test/symbol.o test/udoc_relation.o test/simplex.o test/polynomial_factorization.o test/mpbq.o test/region.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 0.00 :before-memory 0.02 :after-memory 876.88)
resize 1000000000
out of memory
PASS
(test vector :time 0.00 :before-memory 876.88 :after-memory 2192.19)
PASS
(test symbol_table :time 0.00 :before-memory 2192.19 :after-memory 2192.19)
PASS
(test symbol_table :time 0.00 :before-memory 2192.19 :after-memory 2192.19)
PASS
(test region :time 0.00 :before-memory 2192.19 :after-memory 2192.19)
PASS
(test region :time 0.00 :before-memory 2192.19 :after-memory 2192.19)
foo boo foo
PASS
(test symbol :time 0.00 :before-memory 2192.19 :after-memory 2192.19)
foo boo foo
PASS
(test symbol :time 0.00 :before-memory 2192.19 :after-memory 2192.19)
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 0.14 :before-memory 2192.19 :after-memory 2192.19)
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
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i: 17000
i: 18000
i: 19000
i: 20000
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i: 28000
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i: 30000
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i: 37000
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i: 39000
i: 40000
i: 41000
i: 42000
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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 0.14 :before-memory 2192.19 :after-memory 2192.19)
PASS
(test hashtable :time 0.00 :before-memory 2192.19 :after-memory 2192.19)
PASS
(test hashtable :time 0.00 :before-memory 2192.19 :after-memory 2192.19)
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 8.11 :before-memory 2192.42 :after-memory 2241.85)
(multiplication with floats:  :time 0.00 :before-memory 2241.85 :after-memory 2241.85)

Testing multiplication performace using small ints
(multiplication with rationals :time 0.01 :before-memory 2231.54 :after-memory 2231.54)
(multiplication with floats:  :time 0.00 :before-memory 2231.54 :after-memory 2231.54)

Testing multiplication performace using small rationals
(multiplication with rationals :time 0.42 :before-memory 2231.54 :after-memory 2231.54)
(multiplication with floats:  :time 0.00 :before-memory 2231.54 :after-memory 2231.54)

PASS
(test rational :time 12.52 :before-memory 2192.19 :after-memory 2195.49)
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 8.13 :before-memory 2195.72 :after-memory 2241.93)
(multiplication with floats:  :time 0.00 :before-memory 2241.93 :after-memory 2241.93)

Testing multiplication performace using small ints
(multiplication with rationals :time 0.01 :before-memory 2231.57 :after-memory 2231.57)
(multiplication with floats:  :time 0.00 :before-memory 2231.57 :after-memory 2231.57)

Testing multiplication performace using small rationals
(multiplication with rationals :time 0.42 :before-memory 2231.57 :after-memory 2231.57)
(multiplication with floats:  :time 0.00 :before-memory 2231.57 :after-memory 2231.57)

PASS
(test rational :time 12.53 :before-memory 2195.49 :after-memory 2195.52)
PASS
(test inf_rational :time 0.00 :before-memory 2195.52 :after-memory 2195.52)
PASS
(test inf_rational :time 0.00 :before-memory 2195.52 :after-memory 2195.52)
PASS
(test ast :time 0.00 :before-memory 2195.52 :after-memory 2195.52)
PASS
(test ast :time 0.00 :before-memory 2195.52 :after-memory 2195.52)
PASS
(test optional :time 0.00 :before-memory 2195.52 :after-memory 2195.52)
PASS
(test optional :time 0.00 :before-memory 2195.52 :after-memory 2195.52)
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 2195.52 :after-memory 2195.52)
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 2195.52 :after-memory 2195.52)
0000010000
0100001110
0100011110
PASS
(test fixed_bit_vector :time 0.00 :before-memory 2195.52 :after-memory 2195.52)
0000010000
0100001110
0100011110
PASS
(test fixed_bit_vector :time 0.00 :before-memory 2195.52 :after-memory 2195.52)
[]
[]
[]
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 2195.52 :after-memory 2195.52)
[]
[]
[]
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 2195.52 :after-memory 2195.52)
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 72.01 :before-memory 2195.52 :after-memory 2195.56)
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 71.94 :before-memory 2195.56 :after-memory 2195.56)
{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 11.86 :before-memory 2195.56 :after-memory 2195.58)
{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 11.84 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test string_buffer :time 0.01 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test string_buffer :time 0.01 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test map :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test map :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test diff_logic :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test diff_logic :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test uint_set :time 0.38 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test uint_set :time 0.38 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test list :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test list :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test small_object_allocator :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test small_object_allocator :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test timeout :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test timeout :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
[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 2195.58 :after-memory 2195.58)
[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 2195.58 :after-memory 2195.58)
PASS
(test simplifier :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test simplifier :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
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 0.07 :before-memory 2195.58 :after-memory 2195.58)
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 0.07 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test bit_blaster :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test bit_blaster :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
(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 2195.58 :after-memory 2195.58)
(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 2195.58 :after-memory 2195.58)
WARNING: parser error
WARNING: parser error
WARNING: parser error
PASS
(test simple_parser :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
WARNING: parser error
WARNING: parser error
WARNING: parser error
PASS
(test simple_parser :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test api :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test api :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
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 2195.58 :after-memory 2195.58)
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 2195.58 :after-memory 2195.58)
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 2195.58 :after-memory 2195.58)
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 2195.58 :after-memory 2195.58)
not solved
 1 3 0 0
PASS
(test arith_simplifier_plugin :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
not solved
 1 3 0 0
PASS
(test arith_simplifier_plugin :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test matcher :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test matcher :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test object_allocator :time 0.19 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test object_allocator :time 0.20 :before-memory 2195.58 :after-memory 2195.58)
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 0.16 :before-memory 2195.58 :after-memory 2195.58)
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 0.17 :before-memory 2195.58 :after-memory 2195.58)
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 2195.58 :after-memory 2195.58)
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 2195.58 :after-memory 2195.58)
PASS
(test mpf :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test mpf :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
****************************************************************************************************
1 3 2
****************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************
****************************************************************************************************
****************************************************************************************************
****************************************************************************************************
****************************************************************************************************
****************************************************************************************************
PASS
(test total_order :time 2.04 :before-memory 2195.58 :after-memory 2195.58)
****************************************************************************************************
1 3 2
****************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************
****************************************************************************************************
****************************************************************************************************
****************************************************************************************************
****************************************************************************************************
****************************************************************************************************
PASS
(test total_order :time 2.04 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test dl_table :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test dl_table :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test dl_context :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test dl_context :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test dl_util :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test dl_util :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test dl_product_relation :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test dl_product_relation :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test dl_relation :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test dl_relation :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
max. heap size: 4822.79 Mbytes
max. heap size: 4822.79 Mbytes
PASS
(test parray :time 0.61 :before-memory 2195.58 :after-memory 2195.58)
max. heap size: 4822.79 Mbytes
max. heap size: 4822.79 Mbytes
PASS
(test parray :time 0.61 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test stack :time 1.78 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test stack :time 1.78 :before-memory 2195.58 :after-memory 2195.58)
[\"hello\"\"world\"

]
[\"hello\"
world\"]
[\"hello\"
world\"]
[\"hello\"
world\"]
[\"hello\"
\"world\"

]
[]
[


]
[]
[
]
[]
[]
[]
[]
PASS
(test escaped :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
[\"hello\"\"world\"

]
[\"hello\"
world\"]
[\"hello\"
world\"]
[\"hello\"
world\"]
[\"hello\"
\"world\"

]
[]
[


]
[]
[
]
[]
[]
[]
[]
PASS
(test escaped :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test buffer :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test buffer :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
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 0.14 :before-memory 2195.58 :after-memory 2195.58)
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 0.13 :before-memory 2195.58 :after-memory 2195.58)
testing exception
Format 12 twelve
PASS
(test ex :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
testing exception
Format 12 twelve
PASS
(test ex :time 0.00 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test nlarith_util :time 0.01 :before-memory 2195.58 :after-memory 2195.58)
PASS
(test nlarith_util :time 0.01 :before-memory 2195.58 :after-memory 2195.58)
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 2195.58 :after-memory 2196.06)
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 2196.06 :after-memory 2196.53)
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 2196.53 :after-memory 2196.56)
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 2196.56 :after-memory 2196.56)
PASS
(test check_assumptions :time 0.00 :before-memory 2196.56 :after-memory 2196.56)
PASS
(test check_assumptions :time 0.00 :before-memory 2196.56 :after-memory 2196.56)
PASS
(test smt_context :time 0.00 :before-memory 2196.56 :after-memory 2196.56)
PASS
(test smt_context :time 0.00 :before-memory 2196.56 :after-memory 2196.56)
b -> 63
a -> 47
b -> 46
a -> 0
c -> 47
l_false
PASS
(test theory_dl :time 0.02 :before-memory 2196.56 :after-memory 2196.56)
b -> 63
a -> 47
b -> 46
a -> 0
c -> 47
l_false
PASS
(test theory_dl :time 0.02 :before-memory 2196.56 :after-memory 2196.56)
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 2196.56 :after-memory 2196.56)
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 2196.56 :after-memory 2196.56)
(<= 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 2196.56 :after-memory 2196.56)
(<= 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 2196.56 :after-memory 2196.56)
(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 2196.56 :after-memory 2196.56)
(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 2196.56 :after-memory 2196.56)
VAR 0:0 --> 0
(:var 1)
PASS
(test substitution :time 0.00 :before-memory 2196.56 :after-memory 2196.56)
VAR 0:0 --> 0
(:var 1)
PASS
(test substitution :time 0.00 :before-memory 2196.56 :after-memory 2196.56)
---------
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 2196.56 :after-memory 2196.56)
---------
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 2196.56 :after-memory 2196.56)


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 0.01 :before-memory 2196.71 :after-memory 2196.85)
(sturm time :time 0.00 :before-memory 2196.85 :after-memory 2196.86)
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 2196.86 :after-memory 2196.86)
(fourier time :time 0.00 :before-memory 2196.86 :after-memory 2196.89)
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 0.01 :before-memory 2196.89 :after-memory 2197.01)

isolating roots of: x^2 - 3 x + 2
(isolate time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(sturm time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
square free part: x^2 - 3 x + 2
(sqf time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(fourier time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 2
intervals: (0, 2)(interval check :time 0.00 :before-memory 2196.61 :after-memory 2196.61)

isolating roots of: x^5 - 2 x^4 + x^3
(isolate time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(sturm time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
square free part: x^2 - x
(sqf time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(fourier time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 0
intervals: (0, 4)(interval check :time 0.00 :before-memory 2196.61 :after-memory 2196.61)

isolating roots of: x^5 - x - 1
(isolate time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(sturm time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
square free part: x^5 - x - 1
(sqf time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(fourier time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
num. roots: 1
sign var(-oo): 2
sign var(+oo): 1
roots:
intervals: (0, 4)(interval check :time 0.00 :before-memory 2196.61 :after-memory 2196.61)

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 2196.63 :after-memory 2196.63)
(sturm time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18
(sqf time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(fourier time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
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 2196.63 :after-memory 2196.63)

isolating roots of: 100000000 x^2 - 630000 x + 992
(isolate time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(sturm time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
square free part: 100000000 x^2 - 630000 x + 992
(sqf time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(fourier time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
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 2196.63 :after-memory 2196.63)

isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(isolate time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(sturm time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(sqf time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(fourier time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
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 2196.63 :after-memory 2196.63)

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 2196.64 :after-memory 2196.64)
(sturm time :time 0.00 :before-memory 2196.64 :after-memory 2196.74)
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 2196.74 :after-memory 2196.74)
(fourier time :time 0.00 :before-memory 2196.74 :after-memory 2196.74)
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 2196.74 :after-memory 2196.76)

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 2196.80 :after-memory 2196.80)
(sturm time :time 0.00 :before-memory 2196.80 :after-memory 2196.80)
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 2196.80 :after-memory 2196.80)
(fourier time :time 0.00 :before-memory 2196.80 :after-memory 2196.80)
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 2196.80 :after-memory 2196.80)

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 2196.81 :after-memory 2196.82)
(sturm time :time 0.00 :before-memory 2196.82 :after-memory 2196.83)
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 2196.83 :after-memory 2196.83)
(fourier time :time 0.00 :before-memory 2196.83 :after-memory 2196.84)
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 2196.84 :after-memory 2196.84)

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 2196.83 :after-memory 2196.83)
(sturm time :time 0.00 :before-memory 2196.83 :after-memory 2196.83)
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 2196.83 :after-memory 2196.83)
(fourier time :time 0.00 :before-memory 2196.83 :after-memory 2196.84)
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 2196.84 :after-memory 2196.84)

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 2196.83 :after-memory 2196.84)
(sturm time :time 0.00 :before-memory 2196.84 :after-memory 2196.88)
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 2196.88 :after-memory 2196.88)
(fourier time :time 0.00 :before-memory 2196.88 :after-memory 2196.88)
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 2196.88 :after-memory 2196.89)

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 0.00 :before-memory 2196.87 :after-memory 2196.88)
(sturm time :time 0.00 :before-memory 2196.88 :after-memory 2196.88)
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 2196.88 :after-memory 2196.88)
(fourier time :time 0.00 :before-memory 2196.88 :after-memory 2196.88)
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 2196.88 :after-memory 2196.88)

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 2196.61 :after-memory 2196.61)
(sturm time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
square free part: x^2 - 3 x + 2
(sqf time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(fourier time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 2
intervals: (0, 2)(interval check :time 0.00 :before-memory 2196.61 :after-memory 2196.61)

isolating roots of: x^5 - 2 x^4 + x^3
(isolate time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(sturm time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
square free part: x^2 - x
(sqf time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(fourier time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 0
intervals: (0, 4)(interval check :time 0.00 :before-memory 2196.61 :after-memory 2196.61)

isolating roots of: x^5 - x - 1
(isolate time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(sturm time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
square free part: x^5 - x - 1
(sqf time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(fourier time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
num. roots: 1
sign var(-oo): 2
sign var(+oo): 1
roots:
intervals: (0, 4)(interval check :time 0.00 :before-memory 2196.61 :after-memory 2196.61)

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 2196.63 :after-memory 2196.63)
(sturm time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18
(sqf time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(fourier time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
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 2196.63 :after-memory 2196.63)

isolating roots of: 100000000 x^2 - 630000 x + 992
(isolate time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(sturm time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
square free part: 100000000 x^2 - 630000 x + 992
(sqf time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(fourier time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
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 2196.63 :after-memory 2196.63)

isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(isolate time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(sturm time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(sqf time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(fourier time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
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 2196.63 :after-memory 2196.63)

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 2196.64 :after-memory 2196.64)
(sturm time :time 0.00 :before-memory 2196.64 :after-memory 2196.74)
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 2196.74 :after-memory 2196.74)
(fourier time :time 0.00 :before-memory 2196.74 :after-memory 2196.74)
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 2196.74 :after-memory 2196.76)

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 2196.80 :after-memory 2196.80)
(sturm time :time 0.00 :before-memory 2196.80 :after-memory 2196.80)
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 2196.80 :after-memory 2196.80)
(fourier time :time 0.00 :before-memory 2196.80 :after-memory 2196.80)
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 2196.80 :after-memory 2196.80)

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 2196.81 :after-memory 2196.82)
(sturm time :time 0.00 :before-memory 2196.82 :after-memory 2196.83)
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 2196.83 :after-memory 2196.83)
(fourier time :time 0.00 :before-memory 2196.83 :after-memory 2196.84)
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 2196.84 :after-memory 2196.84)

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 2196.83 :after-memory 2196.83)
(sturm time :time 0.00 :before-memory 2196.83 :after-memory 2196.83)
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 2196.83 :after-memory 2196.83)
(fourier time :time 0.00 :before-memory 2196.83 :after-memory 2196.84)
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 2196.84 :after-memory 2196.84)

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 2196.83 :after-memory 2196.84)
(sturm time :time 0.00 :before-memory 2196.84 :after-memory 2196.88)
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 2196.88 :after-memory 2196.88)
(fourier time :time 0.00 :before-memory 2196.88 :after-memory 2196.88)
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 2196.88 :after-memory 2196.89)

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 0.00 :before-memory 2196.87 :after-memory 2196.88)
(sturm time :time 0.00 :before-memory 2196.88 :after-memory 2196.88)
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 2196.88 :after-memory 2196.88)
(fourier time :time 0.00 :before-memory 2196.88 :after-memory 2196.88)
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 2196.88 :after-memory 2196.88)

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 1.52 :before-memory 2196.56 :after-memory 2196.56)


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 0.01 :before-memory 2196.71 :after-memory 2196.85)
(sturm time :time 0.00 :before-memory 2196.85 :after-memory 2196.86)
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 2196.86 :after-memory 2196.86)
(fourier time :time 0.00 :before-memory 2196.86 :after-memory 2196.89)
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 0.01 :before-memory 2196.89 :after-memory 2197.01)

isolating roots of: x^2 - 3 x + 2
(isolate time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(sturm time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
square free part: x^2 - 3 x + 2
(sqf time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(fourier time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 2
intervals: (0, 2)(interval check :time 0.00 :before-memory 2196.61 :after-memory 2196.61)

isolating roots of: x^5 - 2 x^4 + x^3
(isolate time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(sturm time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
square free part: x^2 - x
(sqf time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(fourier time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 0
intervals: (0, 4)(interval check :time 0.00 :before-memory 2196.61 :after-memory 2196.61)

isolating roots of: x^5 - x - 1
(isolate time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(sturm time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
square free part: x^5 - x - 1
(sqf time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(fourier time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
num. roots: 1
sign var(-oo): 2
sign var(+oo): 1
roots:
intervals: (0, 4)(interval check :time 0.00 :before-memory 2196.61 :after-memory 2196.61)

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 2196.63 :after-memory 2196.63)
(sturm time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18
(sqf time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(fourier time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
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 2196.63 :after-memory 2196.63)

isolating roots of: 100000000 x^2 - 630000 x + 992
(isolate time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(sturm time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
square free part: 100000000 x^2 - 630000 x + 992
(sqf time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(fourier time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
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 2196.63 :after-memory 2196.63)

isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(isolate time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(sturm time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(sqf time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(fourier time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
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 2196.63 :after-memory 2196.63)

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 2196.64 :after-memory 2196.64)
(sturm time :time 0.00 :before-memory 2196.64 :after-memory 2196.74)
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 2196.74 :after-memory 2196.74)
(fourier time :time 0.00 :before-memory 2196.74 :after-memory 2196.74)
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 2196.74 :after-memory 2196.76)

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 2196.80 :after-memory 2196.80)
(sturm time :time 0.00 :before-memory 2196.80 :after-memory 2196.80)
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 2196.80 :after-memory 2196.80)
(fourier time :time 0.00 :before-memory 2196.80 :after-memory 2196.80)
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 2196.80 :after-memory 2196.80)

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 2196.81 :after-memory 2196.82)
(sturm time :time 0.00 :before-memory 2196.82 :after-memory 2196.83)
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 2196.83 :after-memory 2196.83)
(fourier time :time 0.00 :before-memory 2196.83 :after-memory 2196.84)
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 2196.84 :after-memory 2196.84)

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 2196.83 :after-memory 2196.83)
(sturm time :time 0.00 :before-memory 2196.83 :after-memory 2196.83)
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 2196.83 :after-memory 2196.83)
(fourier time :time 0.00 :before-memory 2196.83 :after-memory 2196.84)
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 2196.84 :after-memory 2196.84)

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 2196.83 :after-memory 2196.84)
(sturm time :time 0.00 :before-memory 2196.84 :after-memory 2196.88)
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 2196.88 :after-memory 2196.88)
(fourier time :time 0.00 :before-memory 2196.88 :after-memory 2196.88)
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 2196.88 :after-memory 2196.89)

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 0.00 :before-memory 2196.87 :after-memory 2196.88)
(sturm time :time 0.00 :before-memory 2196.88 :after-memory 2196.88)
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 2196.88 :after-memory 2196.88)
(fourier time :time 0.00 :before-memory 2196.88 :after-memory 2196.88)
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 2196.88 :after-memory 2196.88)

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 2196.61 :after-memory 2196.61)
(sturm time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
square free part: x^2 - 3 x + 2
(sqf time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(fourier time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 2
intervals: (0, 2)(interval check :time 0.00 :before-memory 2196.61 :after-memory 2196.61)

isolating roots of: x^5 - 2 x^4 + x^3
(isolate time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(sturm time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
square free part: x^2 - x
(sqf time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(fourier time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
num. roots: 2
sign var(-oo): 2
sign var(+oo): 0
roots: 0
intervals: (0, 4)(interval check :time 0.00 :before-memory 2196.61 :after-memory 2196.61)

isolating roots of: x^5 - x - 1
(isolate time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(sturm time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
square free part: x^5 - x - 1
(sqf time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
(fourier time :time 0.00 :before-memory 2196.61 :after-memory 2196.61)
num. roots: 1
sign var(-oo): 2
sign var(+oo): 1
roots:
intervals: (0, 4)(interval check :time 0.00 :before-memory 2196.61 :after-memory 2196.61)

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 2196.63 :after-memory 2196.63)
(sturm time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18
(sqf time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(fourier time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
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 2196.63 :after-memory 2196.63)

isolating roots of: 100000000 x^2 - 630000 x + 992
(isolate time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(sturm time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
square free part: 100000000 x^2 - 630000 x + 992
(sqf time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(fourier time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
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 2196.63 :after-memory 2196.63)

isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(isolate time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(sturm time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736
(sqf time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
(fourier time :time 0.00 :before-memory 2196.63 :after-memory 2196.63)
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 2196.63 :after-memory 2196.63)

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 2196.64 :after-memory 2196.64)
(sturm time :time 0.00 :before-memory 2196.64 :after-memory 2196.74)
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 2196.74 :after-memory 2196.74)
(fourier time :time 0.00 :before-memory 2196.74 :after-memory 2196.74)
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 2196.74 :after-memory 2196.76)

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 2196.80 :after-memory 2196.80)
(sturm time :time 0.00 :before-memory 2196.80 :after-memory 2196.80)
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 2196.80 :after-memory 2196.80)
(fourier time :time 0.00 :before-memory 2196.80 :after-memory 2196.80)
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 2196.80 :after-memory 2196.80)

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 2196.81 :after-memory 2196.82)
(sturm time :time 0.00 :before-memory 2196.82 :after-memory 2196.83)
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 2196.83 :after-memory 2196.83)
(fourier time :time 0.00 :before-memory 2196.83 :after-memory 2196.84)
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 2196.84 :after-memory 2196.84)

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 2196.83 :after-memory 2196.83)
(sturm time :time 0.00 :before-memory 2196.83 :after-memory 2196.83)
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 2196.83 :after-memory 2196.83)
(fourier time :time 0.00 :before-memory 2196.83 :after-memory 2196.84)
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 2196.84 :after-memory 2196.84)

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 2196.83 :after-memory 2196.84)
(sturm time :time 0.00 :before-memory 2196.84 :after-memory 2196.88)
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 2196.88 :after-memory 2196.88)
(fourier time :time 0.00 :before-memory 2196.88 :after-memory 2196.88)
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 2196.88 :after-memory 2196.89)

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 0.00 :before-memory 2196.87 :after-memory 2196.88)
(sturm time :time 0.00 :before-memory 2196.88 :after-memory 2196.88)
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 2196.88 :after-memory 2196.88)
(fourier time :time 0.00 :before-memory 2196.88 :after-memory 2196.88)
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 2196.88 :after-memory 2196.88)

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 1.52 :before-memory 2196.56 :after-memory 2196.56)
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 1.42 :before-memory 2196.56 :after-memory 2196.56)
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 1.42 :before-memory 2196.56 :after-memory 2196.56)
PASS
(test polynomial_factorization :time 0.00 :before-memory 2196.56 :after-memory 2196.56)
PASS
(test polynomial_factorization :time 0.00 :before-memory 2196.56 :after-memory 2196.56)
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, 3