>>> z3: Building community/z3 4.13.0-r1 (using abuild 3.13.0-r3) started Sat, 27 Apr 2024 11:30:07 +0000 >>> z3: Checking sanity of /home/buildozer/aports/community/z3/APKBUILD... >>> z3: Analyzing dependencies... >>> z3: Installing for build: build-base cmake python3 samurai (1/18) Installing libbz2 (1.0.8-r6) (2/18) Installing xz-libs (5.6.1-r3) (3/18) Installing libarchive (3.7.3-r0) (4/18) Installing rhash-libs (1.4.4-r0) (5/18) Installing libuv (1.48.0-r0) (6/18) Installing cmake (3.29.2-r1) (7/18) Installing libffi (3.4.6-r0) (8/18) Installing gdbm (1.23-r1) (9/18) Installing mpdecimal (4.0.0-r0) (10/18) Installing libpanelw (6.4_p20240330-r0) (11/18) Installing readline (8.2.10-r0) (12/18) Installing sqlite-libs (3.45.3-r0) (13/18) Installing python3 (3.12.3-r1) (14/18) Installing python3-pycache-pyc0 (3.12.3-r1) (15/18) Installing pyc (3.12.3-r1) (16/18) Installing python3-pyc (3.12.3-r1) (17/18) Installing samurai (1.2-r5) (18/18) Installing .makedepends-z3 (20240427.113009) Executing busybox-1.36.1-r26.trigger OK: 571 MiB in 125 packages >>> z3: Cleaning up srcdir >>> z3: Cleaning up pkgdir >>> z3: Cleaning up tmpdir >>> z3: Fetching https://distfiles.alpinelinux.org/distfiles/v3.20/z3-4.13.0.tar.gz Connecting to distfiles.alpinelinux.org (172.105.82.32:443) wget: server returned error: HTTP/1.1 404 Not Found >>> z3: Fetching https://github.com/Z3Prover/z3/archive/z3-4.13.0.tar.gz Connecting to github.com (140.82.121.3:443) Connecting to codeload.github.com (140.82.121.9:443) saving to '/var/cache/distfiles/z3-4.13.0.tar.gz.part' z3-4.13.0.tar.gz.par 4625k --:--:-- ETA z3-4.13.0.tar.gz.par 100% |********************************| 5390k 0:00:00 ETA '/var/cache/distfiles/z3-4.13.0.tar.gz.part' saved >>> z3: Fetching https://distfiles.alpinelinux.org/distfiles/v3.20/z3-4.13.0.tar.gz >>> z3: Checking sha512sums... z3-4.13.0.tar.gz: OK >>> z3: Unpacking /var/cache/distfiles/z3-4.13.0.tar.gz... -- The CXX compiler identification is GNU 13.2.1 -- Detecting CXX compiler ABI info -- Detecting CXX compiler ABI info - done -- Check for working CXX compiler: /usr/bin/g++ - skipped -- Detecting CXX compile features -- Detecting CXX compile features - done -- Z3 version 4.13.0.0 -- Failed to find git directory. CMake Warning at CMakeLists.txt:45 (message): Disabling Z3_INCLUDE_GIT_DESCRIBE Call Stack (most recent call first): CMakeLists.txt:96 (disable_git_describe) CMake Warning at CMakeLists.txt:51 (message): Disabling Z3_INCLUDE_GIT_HASH Call Stack (most recent call first): CMakeLists.txt:97 (disable_git_hash) -- CMake generator: Ninja -- Build type: MinSizeRel -- Found Python3: /usr/bin/python3.12 (found version "3.12.3") found components: Interpreter -- Python3_EXECUTABLE: /usr/bin/python3.12 -- Detected target architecture: arm64 -- Not using libgmp -- Not using Z3_API_LOG_SYNC -- Thread-safe build -- Performing Test CMAKE_HAVE_LIBC_PTHREAD -- Performing Test CMAKE_HAVE_LIBC_PTHREAD - Success -- Found Threads: TRUE -- Performing Test HAS__Wall -- Performing Test HAS__Wall - Success -- C++ compiler supports -Wall -- Treating only serious compiler warnings as errors -- Performing Test HAS__Werror_odr -- Performing Test HAS__Werror_odr - Success -- C++ compiler supports -Werror=odr -- Performing Test HAS__Werror_return_type -- Performing Test HAS__Werror_return_type - Success -- C++ compiler supports -Werror=return-type -- LTO disabled -- Performing Test BUILTIN_ATOMIC -- Performing Test BUILTIN_ATOMIC - Success -- CMAKE_CXX_FLAGS: "-Os -fstack-clash-protection -Wformat -Werror=format-security -D_GLIBCXX_ASSERTIONS=1 -D_LIBCPP_ENABLE_THREAD_SAFETY_ANNOTATIONS=1 -D_LIBCPP_ENABLE_HARDENED_MODE=1 -Werror=odr -Werror=return-type " -- CMAKE_EXE_LINKER_FLAGS: "-Wl,--as-needed,-O1,--sort-common" -- CMAKE_STATIC_LINKER_FLAGS: "" -- CMAKE_SHARED_LINKER_FLAGS: "-Wl,--as-needed,-O1,--sort-common" -- CMAKE_CXX_FLAGS_MINSIZEREL: "-Os -DNDEBUG" -- CMAKE_EXE_LINKER_FLAGS_MINSIZEREL: "" -- CMAKE_SHARED_LINKER_FLAGS_MINSIZEREL: "" -- CMAKE_STATIC_LINKER_FLAGS_MINSIZEREL: "" -- Z3_COMPONENT_CXX_DEFINES: $<$:Z3DEBUG>;$<$:_EXTERNAL_RELEASE>;$<$:_EXTERNAL_RELEASE>;-D_MP_INTERNAL;$<$:_TRACE> -- Z3_COMPONENT_CXX_FLAGS: -Wall -- Z3_DEPENDENT_LIBS: Threads::Threads -- Z3_COMPONENT_EXTRA_INCLUDE_DIRS: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src;/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src -- Z3_DEPENDENT_EXTRA_CXX_LINK_FLAGS: -- CMAKE_INSTALL_LIBDIR: "lib" -- CMAKE_INSTALL_BINDIR: "bin" -- CMAKE_INSTALL_INCLUDEDIR: "include" -- CMAKE_INSTALL_PKGCONFIGDIR: "lib/pkgconfig" -- CMAKE_INSTALL_Z3_CMAKE_PACKAGE_DIR: "lib/cmake/z3" -- Adding component util -- Adding component polynomial -- Adding rule to generate "algebraic_params.hpp" -- Adding component dd -- Adding component hilbert -- Adding component simplex -- Adding component automata -- Adding component interval -- Adding component realclosure -- Adding rule to generate "rcf_params.hpp" -- Adding component subpaving -- Adding component ast -- Adding rule to generate "pp_params.hpp" -- Adding component params -- Adding rule to generate "arith_rewriter_params.hpp" -- Adding rule to generate "array_rewriter_params.hpp" -- Adding rule to generate "bool_rewriter_params.hpp" -- Adding rule to generate "bv_rewriter_params.hpp" -- Adding rule to generate "fpa_rewriter_params.hpp" -- Adding rule to generate "fpa2bv_rewriter_params.hpp" -- Adding rule to generate "pattern_inference_params_helper.hpp" -- Adding rule to generate "poly_rewriter_params.hpp" -- Adding rule to generate "rewriter_params.hpp" -- Adding rule to generate "seq_rewriter_params.hpp" -- Adding rule to generate "sls_params.hpp" -- Adding rule to generate "solver_params.hpp" -- Adding rule to generate "tactic_params.hpp" -- Adding component rewriter -- Adding component bit_blaster -- Adding component normal_forms -- Adding rule to generate "nnf_params.hpp" -- Adding component macros -- Adding component model -- Adding rule to generate "model_evaluator_params.hpp" -- Adding rule to generate "model_params.hpp" -- Adding component euf -- Adding component converters -- Adding component substitution -- Adding component simplifiers -- Adding component ast_sls -- Adding component tactic -- Adding component mbp -- Adding component qe_lite -- Adding component smt_params -- Adding rule to generate "smt_params_helper.hpp" -- Adding component parser_util -- Adding rule to generate "parser_params.hpp" -- Adding component grobner -- Adding component sat -- Adding rule to generate "sat_asymm_branch_params.hpp" -- Adding rule to generate "sat_params.hpp" -- Adding rule to generate "sat_scc_params.hpp" -- Adding rule to generate "sat_simplifier_params.hpp" -- Adding component nlsat -- Adding rule to generate "nlsat_params.hpp" -- Adding component core_tactics -- Adding component subpaving_tactic -- Adding component aig_tactic -- Adding component arith_tactics -- Adding component solver -- Adding rule to generate "combined_solver_params.hpp" -- Adding rule to generate "parallel_params.hpp" -- Adding component cmd_context -- Adding component extra_cmds -- Adding component smt2parser -- Adding component solver_assertions -- Adding component pattern -- Adding component lp -- Adding component sat_smt -- Adding component sat_tactic -- Adding component nlsat_tactic -- Adding component ackermannization -- Adding rule to generate "ackermannization_params.hpp" -- Adding rule to generate "ackermannize_bv_tactic_params.hpp" -- Adding component proofs -- Adding component fpa -- Adding component proto_model -- Adding component smt -- Adding component bv_tactics -- Adding component smt_tactic -- Adding component sls_tactic -- Adding component qe -- Adding component muz -- Adding rule to generate "fp_params.hpp" -- Adding component dataflow -- Adding component transforms -- Adding component rel -- Adding component clp -- Adding component tab -- Adding component bmc -- Adding component ddnf -- Adding component spacer -- Adding component fp -- Adding component ufbv_tactic -- Adding component sat_solver -- Adding component smtlogic_tactics -- Adding rule to generate "qfufbv_tactic_params.hpp" -- Adding component fpa_tactics -- Adding component fd_solver -- Adding component portfolio -- Adding component opt -- Adding rule to generate "opt_params.hpp" -- Adding component api -- Adding component api_dll -- Adding component fuzzing -- Emitting rules to build Z3 python bindings -- Emitting rules to install Z3 python bindings -- CMAKE_INSTALL_PYTHON_PKG_DIR not set. Trying to guess -- Detected Python package directory: "/usr/lib/python3.12/site-packages" -- Python bindings will be installed to "/usr/lib/python3.12/site-packages" -- Building documentation disabled -- Configuring done (0.9s) -- Generating done (0.1s) CMake Warning: Manually-specified variables were not used by the project: PYTHON_EXECUTABLE -- Build files have been written to: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build [1/884] Copying "visitor.py" to /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/visitor.py [2/884] Copying "socrates.py" to /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/socrates.py [3/884] Copying "mus/mss.py" to /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/mss.py [4/884] Copying "mus/marco.py" to /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/marco.py [5/884] Copying "hamiltonian/hamiltonian.py" to /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/hamiltonian.py [6/884] Copying "example.py" to /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/example.py [7/884] Copying "complex/complex.py" to /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/complex.py [8/884] Copying "all_interval_series.py" to /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/all_interval_series.py [9/884] Building CXX object src/math/subpaving/CMakeFiles/subpaving.dir/subpaving_mpq.cpp.o [10/884] Building CXX object src/math/subpaving/CMakeFiles/subpaving.dir/subpaving_mpfx.cpp.o [11/884] Building CXX object src/math/subpaving/CMakeFiles/subpaving.dir/subpaving_mpff.cpp.o [12/884] Building CXX object src/math/subpaving/CMakeFiles/subpaving.dir/subpaving_mpf.cpp.o [13/884] Building CXX object src/math/subpaving/CMakeFiles/subpaving.dir/subpaving_hwf.cpp.o [14/884] Building CXX object src/math/subpaving/CMakeFiles/subpaving.dir/subpaving.cpp.o [15/884] Building CXX object src/math/interval/CMakeFiles/interval.dir/dep_intervals.cpp.o [16/884] Building CXX object src/math/interval/CMakeFiles/interval.dir/interval_mpq.cpp.o [17/884] Building CXX object src/math/automata/CMakeFiles/automata.dir/automaton.cpp.o [18/884] Building CXX object src/math/simplex/CMakeFiles/simplex.dir/bit_matrix.cpp.o [19/884] Building CXX object src/math/simplex/CMakeFiles/simplex.dir/model_based_opt.cpp.o [20/884] Building CXX object src/math/simplex/CMakeFiles/simplex.dir/simplex.cpp.o [21/884] Building CXX object src/math/hilbert/CMakeFiles/hilbert.dir/hilbert_basis.cpp.o [22/884] Building CXX object src/math/dd/CMakeFiles/dd.dir/dd_pdd.cpp.o [23/884] Building CXX object src/math/dd/CMakeFiles/dd.dir/dd_fdd.cpp.o [24/884] Building CXX object src/math/dd/CMakeFiles/dd.dir/dd_bdd.cpp.o [25/884] Building CXX object src/util/CMakeFiles/util.dir/zstring.cpp.o [26/884] Building CXX object src/util/CMakeFiles/util.dir/z3_exception.cpp.o [27/884] Building CXX object src/util/CMakeFiles/util.dir/warning.cpp.o [28/884] Building CXX object src/util/CMakeFiles/util.dir/util.cpp.o [29/884] Building CXX object src/util/CMakeFiles/util.dir/trace.cpp.o [30/884] Building CXX object src/util/CMakeFiles/util.dir/timeout.cpp.o [31/884] Building CXX object src/util/CMakeFiles/util.dir/timeit.cpp.o [32/884] Building CXX object src/util/CMakeFiles/util.dir/tbv.cpp.o [33/884] Building CXX object src/util/CMakeFiles/util.dir/symbol.cpp.o [34/884] Building CXX object src/util/CMakeFiles/util.dir/statistics.cpp.o [35/884] Building CXX object src/util/CMakeFiles/util.dir/state_graph.cpp.o [36/884] Building CXX object src/util/CMakeFiles/util.dir/stack.cpp.o [37/884] Building CXX object src/util/CMakeFiles/util.dir/smt2_util.cpp.o [38/884] Building CXX object src/util/CMakeFiles/util.dir/small_object_allocator.cpp.o [39/884] Building CXX object src/util/CMakeFiles/util.dir/s_integer.cpp.o [40/884] Building CXX object src/util/CMakeFiles/util.dir/sexpr.cpp.o [41/884] Building CXX object src/util/CMakeFiles/util.dir/scoped_timer.cpp.o [42/884] Building CXX object src/util/CMakeFiles/util.dir/scoped_ctrl_c.cpp.o [43/884] Building CXX object src/util/CMakeFiles/util.dir/rlimit.cpp.o [44/884] Building CXX object src/util/CMakeFiles/util.dir/region.cpp.o [45/884] Building CXX object src/util/CMakeFiles/util.dir/rational.cpp.o [46/884] Building CXX object src/util/CMakeFiles/util.dir/prime_generator.cpp.o [47/884] Building CXX object src/util/CMakeFiles/util.dir/permutation.cpp.o [48/884] Building CXX object src/util/CMakeFiles/util.dir/params.cpp.o [49/884] Building CXX object src/util/CMakeFiles/util.dir/page.cpp.o [50/884] Building CXX object src/util/CMakeFiles/util.dir/mpz.cpp.o [51/884] Building CXX object src/util/CMakeFiles/util.dir/mpq_inf.cpp.o [52/884] Building CXX object src/util/CMakeFiles/util.dir/mpq.cpp.o [53/884] Building CXX object src/util/CMakeFiles/util.dir/mpn.cpp.o [54/884] Building CXX object src/util/CMakeFiles/util.dir/mpfx.cpp.o [55/884] Building CXX object src/util/CMakeFiles/util.dir/mpff.cpp.o [56/884] Building CXX object src/util/CMakeFiles/util.dir/mpf.cpp.o [57/884] Building CXX object src/util/CMakeFiles/util.dir/mpbq.cpp.o [58/884] Building CXX object src/util/CMakeFiles/util.dir/min_cut.cpp.o [59/884] Building CXX object src/util/CMakeFiles/util.dir/memory_manager.cpp.o [60/884] Building CXX object src/util/CMakeFiles/util.dir/luby.cpp.o [61/884] Building CXX object src/util/CMakeFiles/util.dir/lbool.cpp.o [62/884] Building CXX object src/util/CMakeFiles/util.dir/inf_s_integer.cpp.o [63/884] Building CXX object src/util/CMakeFiles/util.dir/inf_rational.cpp.o [64/884] Building CXX object src/util/CMakeFiles/util.dir/inf_int_rational.cpp.o [65/884] Building CXX object src/util/CMakeFiles/util.dir/hwf.cpp.o [66/884] Building CXX object src/util/CMakeFiles/util.dir/hash.cpp.o [67/884] Building CXX object src/util/CMakeFiles/util.dir/gparams.cpp.o [68/884] Building CXX object src/util/CMakeFiles/util.dir/fixed_bit_vector.cpp.o [69/884] Building CXX object src/util/CMakeFiles/util.dir/env_params.cpp.o [70/884] Building CXX object src/util/CMakeFiles/util.dir/debug.cpp.o [71/884] Building CXX object src/util/CMakeFiles/util.dir/common_msgs.cpp.o [72/884] Building CXX object src/util/CMakeFiles/util.dir/cmd_context_types.cpp.o [73/884] Building CXX object src/util/CMakeFiles/util.dir/bit_vector.cpp.o [74/884] Building CXX object src/util/CMakeFiles/util.dir/bit_util.cpp.o [75/884] Building CXX object src/util/CMakeFiles/util.dir/approx_set.cpp.o [76/884] Building CXX object src/util/CMakeFiles/util.dir/approx_nat.cpp.o [77/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/math/polynomial/algebraic_params.hpp" from "algebraic_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/math/polynomial/algebraic_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/math/polynomial/algebraic_params.hpp" [78/884] Building CXX object src/math/polynomial/CMakeFiles/polynomial.dir/upolynomial_factorization.cpp.o [79/884] Building CXX object src/math/polynomial/CMakeFiles/polynomial.dir/upolynomial.cpp.o [80/884] Building CXX object src/math/polynomial/CMakeFiles/polynomial.dir/sexpr2upolynomial.cpp.o [81/884] Building CXX object src/math/polynomial/CMakeFiles/polynomial.dir/rpolynomial.cpp.o [82/884] Building CXX object src/math/polynomial/CMakeFiles/polynomial.dir/polynomial.cpp.o [83/884] Building CXX object src/math/polynomial/CMakeFiles/polynomial.dir/polynomial_cache.cpp.o [84/884] Building CXX object src/math/polynomial/CMakeFiles/polynomial.dir/algebraic_numbers.cpp.o [85/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/tactic_params.hpp" from "tactic_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/params/tactic_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/tactic_params.hpp" [86/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/solver_params.hpp" from "solver_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/params/solver_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/solver_params.hpp" [87/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/sls_params.hpp" from "sls_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/params/sls_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/sls_params.hpp" [88/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/seq_rewriter_params.hpp" from "seq_rewriter_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/params/seq_rewriter_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/seq_rewriter_params.hpp" [89/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/rewriter_params.hpp" from "rewriter_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/params/rewriter_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/rewriter_params.hpp" [90/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/poly_rewriter_params.hpp" from "poly_rewriter_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/params/poly_rewriter_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/poly_rewriter_params.hpp" [91/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/pattern_inference_params_helper.hpp" from "pattern_inference_params_helper.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/params/pattern_inference_params_helper.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/pattern_inference_params_helper.hpp" [92/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/fpa2bv_rewriter_params.hpp" from "fpa2bv_rewriter_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/params/fpa2bv_rewriter_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/fpa2bv_rewriter_params.hpp" [93/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/fpa_rewriter_params.hpp" from "fpa_rewriter_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/params/fpa_rewriter_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/fpa_rewriter_params.hpp" [94/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/bv_rewriter_params.hpp" from "bv_rewriter_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/params/bv_rewriter_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/bv_rewriter_params.hpp" [95/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/bool_rewriter_params.hpp" from "bool_rewriter_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/params/bool_rewriter_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/bool_rewriter_params.hpp" [96/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/array_rewriter_params.hpp" from "array_rewriter_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/params/array_rewriter_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/array_rewriter_params.hpp" [97/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/arith_rewriter_params.hpp" from "arith_rewriter_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/params/arith_rewriter_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/params/arith_rewriter_params.hpp" [98/884] Building CXX object src/params/CMakeFiles/params.dir/context_params.cpp.o [99/884] Building CXX object src/params/CMakeFiles/params.dir/pattern_inference_params.cpp.o [100/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/math/realclosure/rcf_params.hpp" from "rcf_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/math/realclosure/rcf_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/math/realclosure/rcf_params.hpp" [101/884] Building CXX object src/math/realclosure/CMakeFiles/realclosure.dir/realclosure.cpp.o [102/884] Building CXX object src/math/realclosure/CMakeFiles/realclosure.dir/mpz_matrix.cpp.o [103/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/ast/pp_params.hpp" from "pp_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/pp_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/ast/pp_params.hpp" [104/884] Building CXX object src/test/fuzzing/CMakeFiles/fuzzing.dir/expr_rand.cpp.o [105/884] Building CXX object src/test/fuzzing/CMakeFiles/fuzzing.dir/expr_delta.cpp.o [106/884] Building CXX object src/ast/proofs/CMakeFiles/proofs.dir/proof_utils.cpp.o [107/884] Building CXX object src/ast/proofs/CMakeFiles/proofs.dir/proof_checker.cpp.o [108/884] Building CXX object src/math/grobner/CMakeFiles/grobner.dir/pdd_solver.cpp.o [109/884] Building CXX object src/math/grobner/CMakeFiles/grobner.dir/pdd_simplifier.cpp.o [110/884] Building CXX object src/math/grobner/CMakeFiles/grobner.dir/grobner.cpp.o [111/884] Building CXX object src/ast/substitution/CMakeFiles/substitution.dir/unifier.cpp.o [112/884] Building CXX object src/ast/substitution/CMakeFiles/substitution.dir/substitution_tree.cpp.o [113/884] Building CXX object src/ast/substitution/CMakeFiles/substitution.dir/substitution.cpp.o [114/884] Building CXX object src/ast/substitution/CMakeFiles/substitution.dir/matcher.cpp.o [115/884] Building CXX object src/ast/substitution/CMakeFiles/substitution.dir/demodulator_rewriter.cpp.o [116/884] Building CXX object src/ast/euf/CMakeFiles/euf.dir/euf_specrel_plugin.cpp.o [117/884] Building CXX object src/ast/euf/CMakeFiles/euf.dir/euf_plugin.cpp.o [118/884] Building CXX object src/ast/euf/CMakeFiles/euf.dir/euf_justification.cpp.o [119/884] Building CXX object src/ast/euf/CMakeFiles/euf.dir/euf_etable.cpp.o [120/884] Building CXX object src/ast/euf/CMakeFiles/euf.dir/euf_enode.cpp.o [121/884] Building CXX object src/ast/euf/CMakeFiles/euf.dir/euf_egraph.cpp.o [122/884] Building CXX object src/ast/euf/CMakeFiles/euf.dir/euf_bv_plugin.cpp.o [123/884] Building CXX object src/ast/euf/CMakeFiles/euf.dir/euf_arith_plugin.cpp.o [124/884] Building CXX object src/ast/euf/CMakeFiles/euf.dir/euf_ac_plugin.cpp.o [125/884] Building CXX object src/ast/macros/CMakeFiles/macros.dir/quasi_macros.cpp.o [126/884] Building CXX object src/ast/macros/CMakeFiles/macros.dir/macro_util.cpp.o [127/884] Building CXX object src/ast/macros/CMakeFiles/macros.dir/quantifier_macro_info.cpp.o [128/884] Building CXX object src/ast/macros/CMakeFiles/macros.dir/macro_manager.cpp.o [129/884] Building CXX object src/ast/macros/CMakeFiles/macros.dir/macro_finder.cpp.o [130/884] Building CXX object src/ast/rewriter/bit_blaster/CMakeFiles/bit_blaster.dir/bit_blaster_rewriter.cpp.o [131/884] Building CXX object src/ast/rewriter/bit_blaster/CMakeFiles/bit_blaster.dir/bit_blaster.cpp.o [132/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/mk_extract_proc.cpp.o [133/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/var_subst.cpp.o [134/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/value_sweep.cpp.o [135/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/th_rewriter.cpp.o [136/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/seq_skolem.cpp.o [137/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/seq_rewriter.cpp.o [138/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/seq_eq_solver.cpp.o [139/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/seq_axioms.cpp.o [140/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/rewriter.cpp.o [141/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/recfun_rewriter.cpp.o [142/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/quant_hoist.cpp.o [143/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/push_app_ite.cpp.o [144/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/pb2bv_rewriter.cpp.o [145/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/pb_rewriter.cpp.o [146/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/mk_simplified_app.cpp.o [147/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/maximize_ac_sharing.cpp.o [148/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/macro_replacer.cpp.o [149/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/label_rewriter.cpp.o [150/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/inj_axiom.cpp.o [151/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/func_decl_replace.cpp.o [152/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/fpa_rewriter.cpp.o [153/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/factor_rewriter.cpp.o [154/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/factor_equivs.cpp.o [155/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/expr_safe_replace.cpp.o [156/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/expr_replacer.cpp.o [157/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/enum2bv_rewriter.cpp.o [158/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/elim_bounds.cpp.o [159/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/dom_simplifier.cpp.o [160/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/dl_rewriter.cpp.o [161/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/distribute_forall.cpp.o [162/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/der.cpp.o [163/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/datatype_rewriter.cpp.o [164/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/char_rewriter.cpp.o [165/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/cached_var_subst.cpp.o [166/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/bv_rewriter.cpp.o [167/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/bv_elim.cpp.o [168/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/bv_bounds.cpp.o [169/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/bool_rewriter.cpp.o [170/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/bit2int.cpp.o [171/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/ast_counter.cpp.o [172/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/array_rewriter.cpp.o [173/884] Building CXX object src/ast/rewriter/CMakeFiles/rewriter.dir/arith_rewriter.cpp.o [174/884] Building CXX object src/ast/CMakeFiles/ast.dir/well_sorted.cpp.o [175/884] Building CXX object src/ast/CMakeFiles/ast.dir/value_generator.cpp.o [176/884] Building CXX object src/ast/CMakeFiles/ast.dir/used_vars.cpp.o [177/884] Building CXX object src/ast/CMakeFiles/ast.dir/static_features.cpp.o [178/884] Building CXX object src/ast/CMakeFiles/ast.dir/special_relations_decl_plugin.cpp.o [179/884] Building CXX object src/ast/CMakeFiles/ast.dir/shared_occs.cpp.o [180/884] Building CXX object src/ast/CMakeFiles/ast.dir/seq_decl_plugin.cpp.o [181/884] Building CXX object src/ast/CMakeFiles/ast.dir/reg_decl_plugins.cpp.o [182/884] Building CXX object src/ast/CMakeFiles/ast.dir/recfun_decl_plugin.cpp.o [183/884] Building CXX object src/ast/CMakeFiles/ast.dir/quantifier_stat.cpp.o [184/884] Building CXX object src/ast/CMakeFiles/ast.dir/pp.cpp.o [185/884] Building CXX object src/ast/CMakeFiles/ast.dir/polymorphism_util.cpp.o [186/884] Building CXX object src/ast/CMakeFiles/ast.dir/polymorphism_inst.cpp.o [187/884] Building CXX object src/ast/CMakeFiles/ast.dir/pb_decl_plugin.cpp.o [188/884] Building CXX object src/ast/CMakeFiles/ast.dir/occurs.cpp.o [189/884] Building CXX object src/ast/CMakeFiles/ast.dir/num_occurs.cpp.o [190/884] Building CXX object src/ast/CMakeFiles/ast.dir/macro_substitution.cpp.o [191/884] Building CXX object src/ast/CMakeFiles/ast.dir/has_free_vars.cpp.o [192/884] Building CXX object src/ast/CMakeFiles/ast.dir/func_decl_dependencies.cpp.o [193/884] Building CXX object src/ast/CMakeFiles/ast.dir/fpa_decl_plugin.cpp.o [194/884] Building CXX object src/ast/CMakeFiles/ast.dir/format.cpp.o [195/884] Building CXX object src/ast/CMakeFiles/ast.dir/for_each_expr.cpp.o [196/884] Building CXX object src/ast/CMakeFiles/ast.dir/for_each_ast.cpp.o [197/884] Building CXX object src/ast/CMakeFiles/ast.dir/expr_substitution.cpp.o [198/884] Building CXX object src/ast/CMakeFiles/ast.dir/expr_stat.cpp.o [199/884] Building CXX object src/ast/CMakeFiles/ast.dir/expr_map.cpp.o [200/884] Building CXX object src/ast/CMakeFiles/ast.dir/expr_functors.cpp.o [201/884] Building CXX object src/ast/CMakeFiles/ast.dir/expr_abstract.cpp.o [202/884] Building CXX object src/ast/CMakeFiles/ast.dir/expr2var.cpp.o [203/884] Building CXX object src/ast/CMakeFiles/ast.dir/expr2polynomial.cpp.o In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_arith_plugin.h:21, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_arith_plugin.cpp:18: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_ac_plugin.h: In member function 'bool euf::ac_plugin::is_op(euf::enode*) const': /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_ac_plugin.h:184:127: warning: comparison of integer expressions of different signedness: 'const unsigned int' and 'decl_kind' {aka 'int'} [-Wsign-compare] 184 | bool is_op(enode* n) const { auto d = n->get_decl(); return d && (d == m_decl || (m_fid == d->get_family_id() && m_op == d->get_decl_kind())); } | ~~~~~^~~~~~~~~~~~~~~~~~~~~ [204/884] Building CXX object src/ast/CMakeFiles/ast.dir/dl_decl_plugin.cpp.o [205/884] Building CXX object src/ast/CMakeFiles/ast.dir/display_dimacs.cpp.o In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_specrel_plugin.h:24, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_specrel_plugin.cpp:18: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_ac_plugin.h: In member function 'bool euf::ac_plugin::is_op(euf::enode*) const': /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_ac_plugin.h:184:127: warning: comparison of integer expressions of different signedness: 'const unsigned int' and 'decl_kind' {aka 'int'} [-Wsign-compare] 184 | bool is_op(enode* n) const { auto d = n->get_decl(); return d && (d == m_decl || (m_fid == d->get_family_id() && m_op == d->get_decl_kind())); } | ~~~~~^~~~~~~~~~~~~~~~~~~~~ [206/884] Building CXX object src/ast/CMakeFiles/ast.dir/decl_collector.cpp.o [207/884] Building CXX object src/ast/CMakeFiles/ast.dir/datatype_decl_plugin.cpp.o [208/884] Building CXX object src/ast/CMakeFiles/ast.dir/cost_evaluator.cpp.o [209/884] Building CXX object src/ast/CMakeFiles/ast.dir/char_decl_plugin.cpp.o [210/884] Building CXX object src/ast/CMakeFiles/ast.dir/bv_decl_plugin.cpp.o [211/884] Building CXX object src/ast/CMakeFiles/ast.dir/ast_util.cpp.o [212/884] Building CXX object src/ast/CMakeFiles/ast.dir/ast_translation.cpp.o [213/884] Building CXX object src/ast/CMakeFiles/ast.dir/ast_pp_dot.cpp.o [214/884] Building CXX object src/ast/CMakeFiles/ast.dir/ast_smt_pp.cpp.o [215/884] Building CXX object src/ast/CMakeFiles/ast.dir/ast_smt2_pp.cpp.o [216/884] Building CXX object src/ast/CMakeFiles/ast.dir/ast_printer.cpp.o [217/884] Building CXX object src/ast/CMakeFiles/ast.dir/ast_pp_util.cpp.o [218/884] Building CXX object src/ast/CMakeFiles/ast.dir/ast_lt.cpp.o [219/884] Building CXX object src/ast/CMakeFiles/ast.dir/ast_ll_pp.cpp.o [220/884] Building CXX object src/ast/CMakeFiles/ast.dir/ast.cpp.o [221/884] Building CXX object src/ast/CMakeFiles/ast.dir/array_peq.cpp.o [222/884] Building CXX object src/ast/CMakeFiles/ast.dir/array_decl_plugin.cpp.o [223/884] Building CXX object src/ast/CMakeFiles/ast.dir/arith_decl_plugin.cpp.o [224/884] Building CXX object src/ast/CMakeFiles/ast.dir/act_cache.cpp.o /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_egraph.cpp: In member function 'void euf::egraph::update_children(euf::enode*)': /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_egraph.cpp:110:21: warning: unused variable 'child' [-Wunused-variable] 110 | for (enode* child : enode_args(n)) | ^~~~~ In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_ac_plugin.cpp:68: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_ac_plugin.h: In member function 'bool euf::ac_plugin::is_op(euf::enode*) const': /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_ac_plugin.h:184:127: warning: comparison of integer expressions of different signedness: 'const unsigned int' and 'decl_kind' {aka 'int'} [-Wsign-compare] 184 | bool is_op(enode* n) const { auto d = n->get_decl(); return d && (d == m_decl || (m_fid == d->get_family_id() && m_op == d->get_decl_kind())); } | ~~~~~^~~~~~~~~~~~~~~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_ac_plugin.cpp: In member function 'virtual void euf::ac_plugin::propagate()': /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_ac_plugin.cpp:443:23: warning: unused variable 'other_eq' [-Wunused-variable] 443 | for (auto other_eq : backward_iterator(eq_id)) | ^~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_ac_plugin.cpp: In member function 'void euf::ac_plugin::superpose(unsigned int, unsigned int)': /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_ac_plugin.cpp:910:18: warning: unused variable 'dst_r_size' [-Wunused-variable] 910 | unsigned dst_r_size = m_dst_r.size(); | ^~~~~~~~~~ [225/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/smt/params/smt_params_helper.hpp" from "smt_params_helper.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/smt/params/smt_params_helper.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/smt/params/smt_params_helper.hpp" [226/884] Building CXX object src/smt/params/CMakeFiles/smt_params.dir/theory_str_params.cpp.o [227/884] Building CXX object src/smt/params/CMakeFiles/smt_params.dir/theory_seq_params.cpp.o [228/884] Building CXX object src/smt/params/CMakeFiles/smt_params.dir/theory_pb_params.cpp.o [229/884] Building CXX object src/smt/params/CMakeFiles/smt_params.dir/theory_bv_params.cpp.o [230/884] Building CXX object src/smt/params/CMakeFiles/smt_params.dir/theory_array_params.cpp.o [231/884] Building CXX object src/smt/params/CMakeFiles/smt_params.dir/theory_arith_params.cpp.o [232/884] Building CXX object src/smt/params/CMakeFiles/smt_params.dir/smt_params.cpp.o [233/884] Building CXX object src/smt/params/CMakeFiles/smt_params.dir/qi_params.cpp.o [234/884] Building CXX object src/smt/params/CMakeFiles/smt_params.dir/preprocessor_params.cpp.o [235/884] Building CXX object src/smt/params/CMakeFiles/smt_params.dir/dyn_ack_params.cpp.o [236/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/sat/sat_simplifier_params.hpp" from "sat_simplifier_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/sat_simplifier_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/sat/sat_simplifier_params.hpp" [237/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/sat/sat_scc_params.hpp" from "sat_scc_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/sat_scc_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/sat/sat_scc_params.hpp" [238/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/sat/sat_params.hpp" from "sat_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/sat_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/sat/sat_params.hpp" [239/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/sat/sat_asymm_branch_params.hpp" from "sat_asymm_branch_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/sat_asymm_branch_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/sat/sat_asymm_branch_params.hpp" [240/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_xor_finder.cpp.o [241/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_watched.cpp.o [242/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_solver.cpp.o [243/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_simplifier.cpp.o [244/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_scc.cpp.o [245/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_proof_trim.cpp.o [246/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_probing.cpp.o [247/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_prob.cpp.o [248/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_parallel.cpp.o [249/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_npn3_finder.cpp.o [250/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_mus.cpp.o [251/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_model_converter.cpp.o [252/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_lut_finder.cpp.o [253/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_lookahead.cpp.o [254/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_local_search.cpp.o [255/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_integrity_checker.cpp.o [256/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_gc.cpp.o [257/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_elim_vars.cpp.o [258/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_elim_eqs.cpp.o [259/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_drat.cpp.o [260/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_ddfw.cpp.o [261/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_cutset.cpp.o [262/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_cut_simplifier.cpp.o [263/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_config.cpp.o [264/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_cleaner.cpp.o [265/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_clause_use_list.cpp.o [266/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_clause_set.cpp.o [267/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_clause.cpp.o [268/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_binspr.cpp.o [269/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_big.cpp.o [270/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_bcd.cpp.o [271/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_asymm_branch.cpp.o [272/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_anf_simplifier.cpp.o [273/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_aig_finder.cpp.o [274/884] Building CXX object src/sat/CMakeFiles/sat.dir/sat_aig_cuts.cpp.o [275/884] Building CXX object src/sat/CMakeFiles/sat.dir/dimacs.cpp.o [276/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/parsers/util/parser_params.hpp" from "parser_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/parsers/util/parser_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/parsers/util/parser_params.hpp" [277/884] Building CXX object src/parsers/util/CMakeFiles/parser_util.dir/simple_parser.cpp.o [278/884] Building CXX object src/parsers/util/CMakeFiles/parser_util.dir/scanner.cpp.o [279/884] Building CXX object src/parsers/util/CMakeFiles/parser_util.dir/pattern_validation.cpp.o [280/884] Building CXX object src/parsers/util/CMakeFiles/parser_util.dir/cost_parser.cpp.o [281/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/ast/normal_forms/nnf_params.hpp" from "nnf_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/normal_forms/nnf_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/ast/normal_forms/nnf_params.hpp" [282/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/solve_eqs.cpp.o [283/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/solve_context_eqs.cpp.o [284/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/reduce_args_simplifier.cpp.o [285/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/propagate_values.cpp.o [286/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/model_reconstruction_trail.cpp.o [287/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/max_bv_sharing.cpp.o [288/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/linear_equation.cpp.o [289/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/extract_eqs.cpp.o [290/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/euf_completion.cpp.o [291/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/eliminate_predicates.cpp.o [292/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/elim_unconstrained.cpp.o [293/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/distribute_forall.cpp.o [294/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/dominator_simplifier.cpp.o [295/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/dependent_expr_state.cpp.o [296/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/demodulator_simplifier.cpp.o [297/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/card2bv.cpp.o [298/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/bv_slice.cpp.o [299/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/bv_bounds_simplifier.cpp.o [300/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/bound_simplifier.cpp.o [301/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/bound_propagator.cpp.o [302/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/bound_manager.cpp.o [303/884] Building CXX object src/ast/simplifiers/CMakeFiles/simplifiers.dir/bit_blaster.cpp.o [304/884] Building CXX object src/ast/normal_forms/CMakeFiles/normal_forms.dir/pull_quant.cpp.o [305/884] Building CXX object src/ast/normal_forms/CMakeFiles/normal_forms.dir/nnf.cpp.o [306/884] Building CXX object src/ast/normal_forms/CMakeFiles/normal_forms.dir/name_exprs.cpp.o [307/884] Building CXX object src/ast/normal_forms/CMakeFiles/normal_forms.dir/elim_term_ite.cpp.o [308/884] Building CXX object src/ast/normal_forms/CMakeFiles/normal_forms.dir/defined_names.cpp.o [309/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/model/model_params.hpp" from "model_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/model/model_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/model/model_params.hpp" [310/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/model/model_evaluator_params.hpp" from "model_evaluator_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/model/model_evaluator_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/model/model_evaluator_params.hpp" [311/884] Building CXX object src/tactic/sls/CMakeFiles/sls_tactic.dir/sls_tactic.cpp.o [312/884] Building CXX object src/tactic/bv/CMakeFiles/bv_tactics.dir/elim_small_bv_tactic.cpp.o [313/884] Building CXX object src/tactic/bv/CMakeFiles/bv_tactics.dir/dt2bv_tactic.cpp.o [314/884] Building CXX object src/tactic/bv/CMakeFiles/bv_tactics.dir/bv_size_reduction_tactic.cpp.o [315/884] Building CXX object src/tactic/bv/CMakeFiles/bv_tactics.dir/bv_bounds_tactic.cpp.o [316/884] Building CXX object src/tactic/bv/CMakeFiles/bv_tactics.dir/bv_bound_chk_tactic.cpp.o [317/884] Building CXX object src/tactic/bv/CMakeFiles/bv_tactics.dir/bvarray2uf_tactic.cpp.o [318/884] Building CXX object src/tactic/bv/CMakeFiles/bv_tactics.dir/bvarray2uf_rewriter.cpp.o [319/884] Building CXX object src/tactic/bv/CMakeFiles/bv_tactics.dir/bv1_blaster_tactic.cpp.o [320/884] Building CXX object src/tactic/bv/CMakeFiles/bv_tactics.dir/bit_blaster_tactic.cpp.o [321/884] Building CXX object src/tactic/bv/CMakeFiles/bv_tactics.dir/bit_blaster_model_converter.cpp.o [322/884] Building CXX object src/smt/proto_model/CMakeFiles/proto_model.dir/proto_model.cpp.o [323/884] Building CXX object src/ast/fpa/CMakeFiles/fpa.dir/fpa2bv_rewriter.cpp.o [324/884] Building CXX object src/ast/fpa/CMakeFiles/fpa.dir/fpa2bv_converter.cpp.o [325/884] Building CXX object src/ast/fpa/CMakeFiles/fpa.dir/bv2fpa_converter.cpp.o [326/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/user_solver.cpp.o [327/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/tseitin_theory_checker.cpp.o [328/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/specrel_solver.cpp.o [329/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/sls_solver.cpp.o [330/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/sat_th.cpp.o [331/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/recfun_solver.cpp.o [332/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/q_solver.cpp.o [333/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/q_queue.cpp.o [334/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/q_theory_checker.cpp.o [335/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/q_model_fixer.cpp.o [336/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/q_mbi.cpp.o [337/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/q_mam.cpp.o [338/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/q_eval.cpp.o [339/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/q_ematch.cpp.o [340/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/q_clause.cpp.o [341/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/pb_solver.cpp.o [342/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/pb_pb.cpp.o [343/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/pb_internalize.cpp.o [344/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/pb_constraint.cpp.o [345/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/pb_card.cpp.o [346/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/fpa_solver.cpp.o [347/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/intblast_solver.cpp.o [348/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/euf_solver.cpp.o [349/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/euf_relevancy.cpp.o [350/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/euf_proof_checker.cpp.o [351/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/euf_proof.cpp.o [352/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/euf_model.cpp.o [353/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/euf_local_search.cpp.o [354/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/euf_invariant.cpp.o [355/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/euf_internalize.cpp.o [356/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/euf_ackerman.cpp.o [357/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/dt_solver.cpp.o [358/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/bv_theory_checker.cpp.o [359/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/bv_solver.cpp.o [360/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/bv_invariant.cpp.o [361/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/bv_internalize.cpp.o [362/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/bv_delay_internalize.cpp.o [363/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/bv_ackerman.cpp.o [364/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/atom2bool_var.cpp.o [365/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/array_solver.cpp.o [366/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/array_model.cpp.o [367/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/array_internalize.cpp.o [368/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/array_diagnostics.cpp.o [369/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/array_axioms.cpp.o [370/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/arith_value.cpp.o [371/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/arith_solver.cpp.o [372/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/arith_sls.cpp.o [373/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/arith_internalize.cpp.o [374/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/arith_diagnostics.cpp.o [375/884] Building CXX object src/sat/smt/CMakeFiles/sat_smt.dir/arith_axioms.cpp.o [376/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/recover_01_tactic.cpp.o [377/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/purify_arith_tactic.cpp.o [378/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/probe_arith.cpp.o [379/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/pb2bv_tactic.cpp.o [380/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/pb2bv_model_converter.cpp.o [381/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/normalize_bounds_tactic.cpp.o [382/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/nla2bv_tactic.cpp.o [383/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/lia2pb_tactic.cpp.o [384/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/lia2card_tactic.cpp.o [385/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/fm_tactic.cpp.o [386/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/fix_dl_var_tactic.cpp.o [387/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/factor_tactic.cpp.o [388/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/eq2bv_tactic.cpp.o [389/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/diff_neq_tactic.cpp.o [390/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/degree_shift_tactic.cpp.o [391/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/bv2real_rewriter.cpp.o [392/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/bv2int_rewriter.cpp.o [393/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/arith_bounds_tactic.cpp.o [394/884] Building CXX object src/tactic/arith/CMakeFiles/arith_tactics.dir/add_bounds_tactic.cpp.o [395/884] Building CXX object src/tactic/aig/CMakeFiles/aig_tactic.dir/aig_tactic.cpp.o [396/884] Building CXX object src/tactic/aig/CMakeFiles/aig_tactic.dir/aig.cpp.o In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_specrel_plugin.h:24, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/smt/specrel_solver.cpp:20: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_ac_plugin.h: In member function 'bool euf::ac_plugin::is_op(euf::enode*) const': /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_ac_plugin.h:184:127: warning: comparison of integer expressions of different signedness: 'const unsigned int' and 'decl_kind' {aka 'int'} [-Wsign-compare] 184 | bool is_op(enode* n) const { auto d = n->get_decl(); return d && (d == m_decl || (m_fid == d->get_family_id() && m_op == d->get_decl_kind())); } | ~~~~~^~~~~~~~~~~~~~~~~~~~~ [397/884] Building CXX object src/math/subpaving/tactic/CMakeFiles/subpaving_tactic.dir/subpaving_tactic.cpp.o [398/884] Building CXX object src/math/subpaving/tactic/CMakeFiles/subpaving_tactic.dir/expr2subpaving.cpp.o [399/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/collect_occs.cpp.o [400/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/tseitin_cnf_tactic.cpp.o [401/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/symmetry_reduce_tactic.cpp.o [402/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/split_clause_tactic.cpp.o [403/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/special_relations_tactic.cpp.o [404/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/simplify_tactic.cpp.o [405/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/reduce_args_tactic.cpp.o [406/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/propagate_values_tactic.cpp.o [407/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/pb_preprocess_tactic.cpp.o [408/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/occf_tactic.cpp.o [409/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/nnf_tactic.cpp.o [410/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/injectivity_tactic.cpp.o [411/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/euf_completion_tactic.cpp.o [412/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/elim_uncnstr_tactic.cpp.o [413/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/elim_term_ite_tactic.cpp.o [414/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/der_tactic.cpp.o [415/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/ctx_simplify_tactic.cpp.o [416/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/collect_statistics_tactic.cpp.o [417/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/cofactor_term_ite_tactic.cpp.o [418/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/cofactor_elim_term_ite.cpp.o [419/884] Building CXX object src/tactic/core/CMakeFiles/core_tactics.dir/blast_term_ite_tactic.cpp.o [420/884] Building CXX object src/qe/lite/CMakeFiles/qe_lite.dir/qel.cpp.o [421/884] Building CXX object src/qe/lite/CMakeFiles/qe_lite.dir/qe_lite_tactic.cpp.o [422/884] Building CXX object src/qe/mbp/CMakeFiles/mbp.dir/mbp_term_graph.cpp.o [423/884] Building CXX object src/qe/mbp/CMakeFiles/mbp.dir/mbp_solve_plugin.cpp.o [424/884] Building CXX object src/qe/mbp/CMakeFiles/mbp.dir/mbp_plugin.cpp.o [425/884] Building CXX object src/qe/mbp/CMakeFiles/mbp.dir/mbp_qel_util.cpp.o [426/884] Building CXX object src/qe/mbp/CMakeFiles/mbp.dir/mbp_qel.cpp.o [427/884] Building CXX object src/qe/mbp/CMakeFiles/mbp.dir/mbp_dt_tg.cpp.o [428/884] Building CXX object src/qe/mbp/CMakeFiles/mbp.dir/mbp_datatypes.cpp.o [429/884] Building CXX object src/qe/mbp/CMakeFiles/mbp.dir/mbp_basic_tg.cpp.o [430/884] Building CXX object src/qe/mbp/CMakeFiles/mbp.dir/mbp_arrays_tg.cpp.o [431/884] Building CXX object src/qe/mbp/CMakeFiles/mbp.dir/mbp_arrays.cpp.o [432/884] Building CXX object src/qe/mbp/CMakeFiles/mbp.dir/mbp_arith.cpp.o [433/884] Building CXX object src/tactic/CMakeFiles/tactic.dir/tactic.cpp.o [434/884] Building CXX object src/tactic/CMakeFiles/tactic.dir/tactical.cpp.o [435/884] Building CXX object src/tactic/CMakeFiles/tactic.dir/probe.cpp.o In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arith.h:12, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/smt/q_mbi.cpp:23: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_plugin.h:70:22: warning: 'virtual bool mbp::project_plugin::operator()(model&, app_ref_vector&, expr_ref_vector&)' was hidden [-Woverloaded-virtual=] 70 | virtual bool operator()(model& model, app_ref_vector& vars, expr_ref_vector& lits) { return false; }; | ^~~~~~~~ In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/smt/q_mbi.cpp:24: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arrays.h:36:14: note: by 'mbp::array_project_plugin::operator()' 36 | void operator()(model& model, app_ref_vector& vars, expr_ref& fml, app_ref_vector& aux_vars, bool reduce_all_selects); | ^~~~~~~~ [436/884] Building CXX object src/tactic/CMakeFiles/tactic.dir/goal_util.cpp.o [437/884] Building CXX object src/tactic/CMakeFiles/tactic.dir/goal_shared_occs.cpp.o [438/884] Building CXX object src/tactic/CMakeFiles/tactic.dir/goal_num_occurs.cpp.o [439/884] Building CXX object src/tactic/CMakeFiles/tactic.dir/goal.cpp.o [440/884] Building CXX object src/tactic/CMakeFiles/tactic.dir/dependency_converter.cpp.o [441/884] Building CXX object src/ast/sls/CMakeFiles/ast_sls.dir/sls_valuation.cpp.o [442/884] Building CXX object src/ast/sls/CMakeFiles/ast_sls.dir/sls_engine.cpp.o [443/884] Building CXX object src/ast/sls/CMakeFiles/ast_sls.dir/bv_sls_terms.cpp.o [444/884] Building CXX object src/ast/sls/CMakeFiles/ast_sls.dir/bv_sls_fixed.cpp.o [445/884] Building CXX object src/ast/sls/CMakeFiles/ast_sls.dir/bv_sls_eval.cpp.o [446/884] Building CXX object src/ast/sls/CMakeFiles/ast_sls.dir/bv_sls.cpp.o [447/884] Building CXX object src/ast/sls/CMakeFiles/ast_sls.dir/bvsls_opt_engine.cpp.o [448/884] Building CXX object src/ast/converters/CMakeFiles/converters.dir/replace_proof_converter.cpp.o [449/884] Building CXX object src/ast/converters/CMakeFiles/converters.dir/proof_converter.cpp.o [450/884] Building CXX object src/ast/converters/CMakeFiles/converters.dir/model_converter.cpp.o [451/884] Building CXX object src/ast/converters/CMakeFiles/converters.dir/horn_subsume_model_converter.cpp.o [452/884] Building CXX object src/ast/converters/CMakeFiles/converters.dir/generic_model_converter.cpp.o [453/884] Building CXX object src/ast/converters/CMakeFiles/converters.dir/equiv_proof_converter.cpp.o [454/884] Building CXX object src/ast/converters/CMakeFiles/converters.dir/expr_inverter.cpp.o [455/884] Building CXX object src/model/CMakeFiles/model.dir/value_factory.cpp.o [456/884] Building CXX object src/model/CMakeFiles/model.dir/struct_factory.cpp.o [457/884] Building CXX object src/model/CMakeFiles/model.dir/numeral_factory.cpp.o [458/884] Building CXX object src/model/CMakeFiles/model.dir/model_v2_pp.cpp.o [459/884] Building CXX object src/model/CMakeFiles/model.dir/model_smt2_pp.cpp.o [460/884] Building CXX object src/model/CMakeFiles/model.dir/model_pp.cpp.o [461/884] Building CXX object src/model/CMakeFiles/model.dir/model_macro_solver.cpp.o [462/884] Building CXX object src/model/CMakeFiles/model.dir/model_implicant.cpp.o [463/884] Building CXX object src/model/CMakeFiles/model.dir/model_evaluator.cpp.o [464/884] Building CXX object src/model/CMakeFiles/model.dir/model.cpp.o [465/884] Building CXX object src/model/CMakeFiles/model.dir/model_core.cpp.o [466/884] Building CXX object src/model/CMakeFiles/model.dir/model2expr.cpp.o [467/884] Building CXX object src/model/CMakeFiles/model.dir/func_interp.cpp.o [468/884] Building CXX object src/model/CMakeFiles/model.dir/datatype_factory.cpp.o [469/884] Building CXX object src/model/CMakeFiles/model.dir/array_factory.cpp.o [470/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/nlsat/nlsat_params.hpp" from "nlsat_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/nlsat/nlsat_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/nlsat/nlsat_params.hpp" [471/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/static_matrix.cpp.o [472/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/random_updater.cpp.o [473/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/permutation_matrix.cpp.o [474/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/nra_solver.cpp.o [475/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/nla_tangent_lemmas.cpp.o [476/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/nla_solver.cpp.o [477/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/nla_powers.cpp.o [478/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/nla_order_lemmas.cpp.o [479/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/nla_monotone_lemmas.cpp.o [480/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/nla_intervals.cpp.o In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arrays.h:24, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_qel.cpp:24: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_plugin.h:70:22: warning: 'virtual bool mbp::project_plugin::operator()(model&, app_ref_vector&, expr_ref_vector&)' was hidden [-Woverloaded-virtual=] 70 | virtual bool operator()(model& model, app_ref_vector& vars, expr_ref_vector& lits) { return false; }; | ^~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arrays.h:36:14: note: by 'mbp::array_project_plugin::operator()' 36 | void operator()(model& model, app_ref_vector& vars, expr_ref& fml, app_ref_vector& aux_vars, bool reduce_all_selects); | ^~~~~~~~ [481/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/nla_grobner.cpp.o [482/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/nla_divisions.cpp.o [483/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/nla_core.cpp.o [484/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/nla_common.cpp.o [485/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/nla_basics_lemmas.cpp.o [486/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/nex_creator.cpp.o [487/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/monomial_bounds.cpp.o [488/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/mon_eq.cpp.o [489/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/matrix.cpp.o [490/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/lp_settings.cpp.o [491/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/lp_primal_core_solver.cpp.o [492/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/lp_core_solver_base.cpp.o [493/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/lar_core_solver.cpp.o [494/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/lar_solver.cpp.o [495/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/int_solver.cpp.o [496/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/int_gcd_test.cpp.o [497/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/int_cube.cpp.o [498/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/int_branch.cpp.o [499/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/indexed_vector.cpp.o In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arrays_tg.h:22, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arrays_tg.cpp:20: In member function 'app* ast_manager::mk_eq(expr*, expr*)', inlined from 'void mbp::mbp_array_tg::impl::elimwreq(peq, bool)' at /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arrays_tg.cpp:230:35: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/ast.h:2170:56: warning: 'elem' may be used uninitialized [-Wmaybe-uninitialized] 2170 | app * mk_eq(expr * lhs, expr * rhs) { return mk_app(basic_family_id, get_eq_op(lhs), lhs, rhs); } | ~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arrays_tg.cpp: In member function 'void mbp::mbp_array_tg::impl::elimwreq(peq, bool)': /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arrays_tg.cpp:188:23: note: 'elem' was declared here 188 | expr* a, *j, *elem; | ^~~~ [500/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/horner.cpp.o [501/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/hnf_cutter.cpp.o [502/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/gomory.cpp.o [503/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/factorization_factory_imp.cpp.o [504/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/factorization.cpp.o [505/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/emonics.cpp.o [506/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/dense_matrix.cpp.o [507/884] Building CXX object src/math/lp/CMakeFiles/lp.dir/core_solver_pretty_printer.cpp.o [508/884] Building CXX object src/nlsat/CMakeFiles/nlsat.dir/nlsat_types.cpp.o [509/884] Building CXX object src/nlsat/CMakeFiles/nlsat.dir/nlsat_solver.cpp.o [510/884] Building CXX object src/nlsat/CMakeFiles/nlsat.dir/nlsat_interval_set.cpp.o [511/884] Building CXX object src/nlsat/CMakeFiles/nlsat.dir/nlsat_explain.cpp.o [512/884] Building CXX object src/nlsat/CMakeFiles/nlsat.dir/nlsat_evaluator.cpp.o [513/884] Building CXX object src/nlsat/CMakeFiles/nlsat.dir/nlsat_clause.cpp.o /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/sls/bv_sls_eval.cpp: In member function 'bool bv::sls_eval::bval1_basic(app*) const': /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/sls/bv_sls_eval.cpp:145:14: warning: unused variable 'id' [-Wunused-variable] 145 | auto id = e->get_id(); | ^~ In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arrays.h:24, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arrays.cpp:30: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_plugin.h:70:22: warning: 'virtual bool mbp::project_plugin::operator()(model&, app_ref_vector&, expr_ref_vector&)' was hidden [-Woverloaded-virtual=] 70 | virtual bool operator()(model& model, app_ref_vector& vars, expr_ref_vector& lits) { return false; }; | ^~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arrays.h:36:14: note: by 'mbp::array_project_plugin::operator()' 36 | void operator()(model& model, app_ref_vector& vars, expr_ref& fml, app_ref_vector& aux_vars, bool reduce_all_selects); | ^~~~~~~~ In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arrays.h:24, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_term_graph.cpp:35: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_plugin.h:70:22: warning: 'virtual bool mbp::project_plugin::operator()(model&, app_ref_vector&, expr_ref_vector&)' was hidden [-Woverloaded-virtual=] 70 | virtual bool operator()(model& model, app_ref_vector& vars, expr_ref_vector& lits) { return false; }; | ^~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arrays.h:36:14: note: by 'mbp::array_project_plugin::operator()' 36 | void operator()(model& model, app_ref_vector& vars, expr_ref& fml, app_ref_vector& aux_vars, bool reduce_all_selects); | ^~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/math/lp/nla_divisions.cpp: In member function 'void nla::divisions::add_idivision(nla::lpvar, nla::lpvar, nla::lpvar)': /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/math/lp/nla_divisions.cpp:22:21: warning: unused variable 'lra' [-Wunused-variable] 22 | const auto& lra = m_core.lra; | ^~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/math/lp/nla_divisions.cpp: In member function 'void nla::divisions::add_rdivision(nla::lpvar, nla::lpvar, nla::lpvar)': /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/math/lp/nla_divisions.cpp:30:15: warning: unused variable 'lra' [-Wunused-variable] 30 | auto& lra = m_core.lra; | ^~~ [514/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/solver/combined_solver_params.hpp" from "combined_solver_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/solver/combined_solver_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/solver/combined_solver_params.hpp" [515/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/solver/parallel_params.hpp" from "parallel_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/solver/parallel_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/solver/parallel_params.hpp" [516/884] Building CXX object src/tactic/fd_solver/CMakeFiles/fd_solver.dir/smtfd_solver.cpp.o [517/884] Building CXX object src/tactic/fd_solver/CMakeFiles/fd_solver.dir/pb2bv_solver.cpp.o [518/884] Building CXX object src/tactic/fd_solver/CMakeFiles/fd_solver.dir/fd_solver.cpp.o [519/884] Building CXX object src/tactic/fd_solver/CMakeFiles/fd_solver.dir/enum2bv_solver.cpp.o [520/884] Building CXX object src/tactic/fd_solver/CMakeFiles/fd_solver.dir/bounded_int2bv_solver.cpp.o [521/884] Building CXX object src/sat/sat_solver/CMakeFiles/sat_solver.dir/sat_smt_solver.cpp.o [522/884] Building CXX object src/sat/sat_solver/CMakeFiles/sat_solver.dir/inc_sat_solver.cpp.o [523/884] Building CXX object src/nlsat/tactic/CMakeFiles/nlsat_tactic.dir/qfnra_nlsat_tactic.cpp.o [524/884] Building CXX object src/nlsat/tactic/CMakeFiles/nlsat_tactic.dir/nlsat_tactic.cpp.o [525/884] Building CXX object src/nlsat/tactic/CMakeFiles/nlsat_tactic.dir/goal2nlsat.cpp.o [526/884] Building CXX object src/sat/tactic/CMakeFiles/sat_tactic.dir/sat_tactic.cpp.o [527/884] Building CXX object src/sat/tactic/CMakeFiles/sat_tactic.dir/sat2goal.cpp.o [528/884] Building CXX object src/sat/tactic/CMakeFiles/sat_tactic.dir/goal2sat.cpp.o [529/884] Building CXX object src/solver/assertions/CMakeFiles/solver_assertions.dir/asserted_formulas.cpp.o [530/884] Building CXX object src/parsers/smt2/CMakeFiles/smt2parser.dir/smt2scanner.cpp.o [531/884] Building CXX object src/parsers/smt2/CMakeFiles/smt2parser.dir/smt2parser.cpp.o [532/884] Building CXX object src/parsers/smt2/CMakeFiles/smt2parser.dir/marshal.cpp.o [533/884] Building CXX object src/cmd_context/extra_cmds/CMakeFiles/extra_cmds.dir/proof_cmds.cpp.o [534/884] Building CXX object src/cmd_context/extra_cmds/CMakeFiles/extra_cmds.dir/subpaving_cmds.cpp.o [535/884] Building CXX object src/cmd_context/extra_cmds/CMakeFiles/extra_cmds.dir/polynomial_cmds.cpp.o [536/884] Building CXX object src/cmd_context/extra_cmds/CMakeFiles/extra_cmds.dir/dbg_cmds.cpp.o [537/884] Building CXX object src/cmd_context/CMakeFiles/cmd_context.dir/tactic_manager.cpp.o [538/884] Building CXX object src/cmd_context/CMakeFiles/cmd_context.dir/tactic_cmds.cpp.o [539/884] Building CXX object src/cmd_context/CMakeFiles/cmd_context.dir/simplifier_cmds.cpp.o [540/884] Building CXX object src/cmd_context/CMakeFiles/cmd_context.dir/simplify_cmd.cpp.o [541/884] Building CXX object src/cmd_context/CMakeFiles/cmd_context.dir/pdecl.cpp.o [542/884] Building CXX object src/cmd_context/CMakeFiles/cmd_context.dir/parametric_cmd.cpp.o [543/884] Building CXX object src/cmd_context/CMakeFiles/cmd_context.dir/eval_cmd.cpp.o [544/884] Building CXX object src/cmd_context/CMakeFiles/cmd_context.dir/echo_tactic.cpp.o [545/884] Building CXX object src/cmd_context/CMakeFiles/cmd_context.dir/cmd_util.cpp.o [546/884] Building CXX object src/cmd_context/CMakeFiles/cmd_context.dir/cmd_context_to_goal.cpp.o [547/884] Building CXX object src/cmd_context/CMakeFiles/cmd_context.dir/cmd_context.cpp.o [548/884] Building CXX object src/cmd_context/CMakeFiles/cmd_context.dir/basic_cmds.cpp.o [549/884] Building CXX object src/solver/CMakeFiles/solver.dir/tactic2solver.cpp.o [550/884] Building CXX object src/solver/CMakeFiles/solver.dir/solver2tactic.cpp.o [551/884] Building CXX object src/solver/CMakeFiles/solver.dir/solver_preprocess.cpp.o [552/884] Building CXX object src/solver/CMakeFiles/solver.dir/solver_pool.cpp.o [553/884] Building CXX object src/solver/CMakeFiles/solver.dir/solver_na2as.cpp.o [554/884] Building CXX object src/solver/CMakeFiles/solver.dir/solver.cpp.o [555/884] Building CXX object src/solver/CMakeFiles/solver.dir/smt_logics.cpp.o [556/884] Building CXX object src/solver/CMakeFiles/solver.dir/simplifier_solver.cpp.o [557/884] Building CXX object src/solver/CMakeFiles/solver.dir/parallel_tactical.cpp.o [558/884] Building CXX object src/solver/CMakeFiles/solver.dir/mus.cpp.o [559/884] Building CXX object src/solver/CMakeFiles/solver.dir/combined_solver.cpp.o [560/884] Building CXX object src/solver/CMakeFiles/solver.dir/check_logic.cpp.o [561/884] Building CXX object src/solver/CMakeFiles/solver.dir/check_sat_result.cpp.o /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/nlsat/nlsat_solver.cpp: In member function 'std::ostream& nlsat::solver::imp::display_root_smt2(std::ostream&, const nlsat::root_atom&, const nlsat::display_var_proc&) const': /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/nlsat/nlsat_solver.cpp:3216:20: warning: enumeration value 'EQ' not handled in switch [-Wswitch] 3216 | switch (a.get_kind()) { | ^ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/nlsat/nlsat_solver.cpp:3216:20: warning: enumeration value 'LT' not handled in switch [-Wswitch] /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/nlsat/nlsat_solver.cpp:3216:20: warning: enumeration value 'GT' not handled in switch [-Wswitch] In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/tactic/goal.h:37, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/tactic/tactic.h:27, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/tactic/tactical.h:21, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/tactic/sat_tactic.cpp:21: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/converters/model_converter.h:81:18: warning: 'virtual void model_converter::operator()(labels_vec&)' was hidden [-Woverloaded-virtual=] 81 | virtual void operator()(labels_vec & r) {} | ^~~~~~~~ In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/tactic/sat_tactic.cpp:23: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/tactic/sat2goal.h:58:14: note: by 'sat2goal::mc::operator()' 58 | void operator()(expr_ref& fml) override; | ^~~~~~~~ In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/tactic/goal.h:37, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/tactic/tactic.h:27, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/tactic/sat2goal.cpp:39: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/converters/model_converter.h:81:18: warning: 'virtual void model_converter::operator()(labels_vec&)' was hidden [-Woverloaded-virtual=] 81 | virtual void operator()(labels_vec & r) {} | ^~~~~~~~ In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/tactic/sat2goal.cpp:43: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/tactic/sat2goal.h:58:14: note: by 'sat2goal::mc::operator()' 58 | void operator()(expr_ref& fml) override; | ^~~~~~~~ In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/solver/check_sat_result.h:26, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/solver/solver.h:22, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/sat_solver/sat_smt_solver.cpp:31: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/converters/model_converter.h:81:18: warning: 'virtual void model_converter::operator()(labels_vec&)' was hidden [-Woverloaded-virtual=] 81 | virtual void operator()(labels_vec & r) {} | ^~~~~~~~ In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/sat_solver/sat_smt_solver.cpp:39: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/tactic/sat2goal.h:58:14: note: by 'sat2goal::mc::operator()' 58 | void operator()(expr_ref& fml) override; | ^~~~~~~~ [562/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/ackermannization/ackermannization_params.hpp" from "ackermannization_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ackermannization/ackermannization_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/ackermannization/ackermannization_params.hpp" [563/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/ackermannization/ackermannize_bv_tactic_params.hpp" from "ackermannize_bv_tactic_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ackermannization/ackermannize_bv_tactic_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/ackermannization/ackermannize_bv_tactic_params.hpp" [564/884] Building CXX object src/ackermannization/CMakeFiles/ackermannization.dir/lackr_model_converter_lazy.cpp.o [565/884] Building CXX object src/ackermannization/CMakeFiles/ackermannization.dir/lackr_model_constructor.cpp.o [566/884] Building CXX object src/ackermannization/CMakeFiles/ackermannization.dir/lackr.cpp.o [567/884] Building CXX object src/ackermannization/CMakeFiles/ackermannization.dir/ackr_model_converter.cpp.o [568/884] Building CXX object src/ackermannization/CMakeFiles/ackermannization.dir/ackr_helper.cpp.o [569/884] Building CXX object src/ackermannization/CMakeFiles/ackermannization.dir/ackr_bound_probe.cpp.o [570/884] Building CXX object src/ackermannization/CMakeFiles/ackermannization.dir/ackermannize_bv_tactic.cpp.o [571/884] Building CXX object src/ackermannization/CMakeFiles/ackermannization.dir/ackermannize_bv_model_converter.cpp.o [572/884] Generating "database.h" INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/ast/pattern/database.h" [573/884] Building CXX object src/tactic/ufbv/CMakeFiles/ufbv_tactic.dir/ufbv_tactic.cpp.o [574/884] Building CXX object src/tactic/ufbv/CMakeFiles/ufbv_tactic.dir/ufbv_rewriter_tactic.cpp.o [575/884] Building CXX object src/tactic/ufbv/CMakeFiles/ufbv_tactic.dir/quasi_macros_tactic.cpp.o [576/884] Building CXX object src/tactic/ufbv/CMakeFiles/ufbv_tactic.dir/macro_finder_tactic.cpp.o [577/884] Building CXX object src/qe/CMakeFiles/qe.dir/qsat.cpp.o [578/884] Building CXX object src/qe/CMakeFiles/qe.dir/qe_tactic.cpp.o [579/884] Building CXX object src/qe/CMakeFiles/qe.dir/qe_mbp.cpp.o [580/884] Building CXX object src/qe/CMakeFiles/qe.dir/qe_mbi.cpp.o [581/884] Building CXX object src/qe/CMakeFiles/qe.dir/qe_dl_plugin.cpp.o [582/884] Building CXX object src/qe/CMakeFiles/qe.dir/qe_datatype_plugin.cpp.o [583/884] Building CXX object src/qe/CMakeFiles/qe.dir/qe.cpp.o [584/884] Building CXX object src/qe/CMakeFiles/qe.dir/qe_cmd.cpp.o [585/884] Building CXX object src/qe/CMakeFiles/qe.dir/qe_bv_plugin.cpp.o [586/884] Building CXX object src/qe/CMakeFiles/qe.dir/qe_bool_plugin.cpp.o [587/884] Building CXX object src/qe/CMakeFiles/qe.dir/qe_array_plugin.cpp.o [588/884] Building CXX object src/qe/CMakeFiles/qe.dir/qe_arith_plugin.cpp.o [589/884] Building CXX object src/qe/CMakeFiles/qe.dir/nlqsat.cpp.o [590/884] Building CXX object src/qe/CMakeFiles/qe.dir/nlarith_util.cpp.o [591/884] Building CXX object src/smt/tactic/CMakeFiles/smt_tactic.dir/unit_subsumption_tactic.cpp.o [592/884] Building CXX object src/smt/tactic/CMakeFiles/smt_tactic.dir/smt_tactic_core.cpp.o [593/884] Building CXX object src/smt/tactic/CMakeFiles/smt_tactic.dir/ctx_solver_simplify_tactic.cpp.o [594/884] Building CXX object src/smt/CMakeFiles/smt.dir/watch_list.cpp.o [595/884] Building CXX object src/smt/CMakeFiles/smt.dir/uses_theory.cpp.o [596/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_wmaxsat.cpp.o [597/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_utvpi.cpp.o [598/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_user_propagator.cpp.o [599/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_str_regex.cpp.o [600/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_str_mc.cpp.o [601/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_str.cpp.o [602/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_special_relations.cpp.o [603/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_seq.cpp.o [604/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_recfun.cpp.o [605/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_pb.cpp.o [606/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_opt.cpp.o [607/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_lra.cpp.o [608/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_fpa.cpp.o [609/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_dummy.cpp.o [610/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_dl.cpp.o [611/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_diff_logic.cpp.o [612/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_dense_diff_logic.cpp.o [613/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_datatype.cpp.o [614/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_char.cpp.o [615/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_bv.cpp.o [616/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_array_full.cpp.o [617/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_array.cpp.o [618/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_array_base.cpp.o [619/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_array_bapa.cpp.o [620/884] Building CXX object src/smt/CMakeFiles/smt.dir/theory_arith.cpp.o [621/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt2_extra_cmds.cpp.o [622/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_value_sort.cpp.o [623/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_theory.cpp.o [624/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_statistics.cpp.o [625/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_solver.cpp.o [626/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_setup.cpp.o [627/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_relevancy.cpp.o [628/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_quick_checker.cpp.o [629/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_quantifier.cpp.o [630/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_parallel.cpp.o [631/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_model_generator.cpp.o [632/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_model_finder.cpp.o [633/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_model_checker.cpp.o [634/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_lookahead.cpp.o [635/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_literal.cpp.o [636/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_kernel.cpp.o [637/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_justification.cpp.o [638/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_internalizer.cpp.o [639/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_implied_equalities.cpp.o [640/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_for_each_relevant_expr.cpp.o [641/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_farkas_util.cpp.o [642/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_enode.cpp.o [643/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_context_stat.cpp.o [644/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_context_pp.cpp.o [645/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_context_inv.cpp.o [646/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_context.cpp.o [647/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_consequences.cpp.o [648/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_conflict_resolution.cpp.o [649/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_clause_proof.cpp.o [650/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_clause.cpp.o [651/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_checker.cpp.o [652/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_cg_table.cpp.o [653/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_case_split_queue.cpp.o [654/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_arith_value.cpp.o [655/884] Building CXX object src/smt/CMakeFiles/smt.dir/smt_almost_cg_table.cpp.o [656/884] Building CXX object src/smt/CMakeFiles/smt.dir/seq_regex.cpp.o [657/884] Building CXX object src/smt/CMakeFiles/smt.dir/seq_offset_eq.cpp.o [658/884] Building CXX object src/smt/CMakeFiles/smt.dir/seq_ne_solver.cpp.o [659/884] Building CXX object src/smt/CMakeFiles/smt.dir/seq_eq_solver.cpp.o [660/884] Building CXX object src/smt/CMakeFiles/smt.dir/seq_axioms.cpp.o [661/884] Building CXX object src/smt/CMakeFiles/smt.dir/qi_queue.cpp.o [662/884] Building CXX object src/smt/CMakeFiles/smt.dir/old_interval.cpp.o [663/884] Building CXX object src/smt/CMakeFiles/smt.dir/mam.cpp.o [664/884] Building CXX object src/smt/CMakeFiles/smt.dir/fingerprints.cpp.o [665/884] Building CXX object src/smt/CMakeFiles/smt.dir/expr_context_simplifier.cpp.o [666/884] Building CXX object src/smt/CMakeFiles/smt.dir/dyn_ack.cpp.o [667/884] Building CXX object src/smt/CMakeFiles/smt.dir/arith_eq_solver.cpp.o [668/884] Building CXX object src/smt/CMakeFiles/smt.dir/arith_eq_adapter.cpp.o [669/884] Building CXX object src/ast/pattern/CMakeFiles/pattern.dir/pattern_inference.cpp.o [670/884] Building CXX object src/ast/pattern/CMakeFiles/pattern.dir/expr_pattern_match.cpp.o In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arith.h:12, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/qe_mbi.h:23, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/qe_mbi.cpp:41: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_plugin.h:70:22: warning: 'virtual bool mbp::project_plugin::operator()(model&, app_ref_vector&, expr_ref_vector&)' was hidden [-Woverloaded-virtual=] 70 | virtual bool operator()(model& model, app_ref_vector& vars, expr_ref_vector& lits) { return false; }; | ^~~~~~~~ In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/qe_mbi.cpp:44: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arrays.h:36:14: note: by 'mbp::array_project_plugin::operator()' 36 | void operator()(model& model, app_ref_vector& vars, expr_ref& fml, app_ref_vector& aux_vars, bool reduce_all_selects); | ^~~~~~~~ In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arith.h:12, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/qe_mbp.cpp:38: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_plugin.h:70:22: warning: 'virtual bool mbp::project_plugin::operator()(model&, app_ref_vector&, expr_ref_vector&)' was hidden [-Woverloaded-virtual=] 70 | virtual bool operator()(model& model, app_ref_vector& vars, expr_ref_vector& lits) { return false; }; | ^~~~~~~~ In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/qe_mbp.cpp:39: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/mbp/mbp_arrays.h:36:14: note: by 'mbp::array_project_plugin::operator()' 36 | void operator()(model& model, app_ref_vector& vars, expr_ref& fml, app_ref_vector& aux_vars, bool reduce_all_selects); | ^~~~~~~~ In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/qe/qe_mbp.cpp:30: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/rewriter/rewriter_def.h:702:6: warning: 'void rewriter_tpl::update_inv_binding_at(unsigned int, expr*) [with Config = {anonymous}::rd_over_wr_rewriter]' defined but not used [-Wunused-function] 702 | void rewriter_tpl::update_inv_binding_at(unsigned i, expr* binding) { | ^~~~~~~~~~~~~~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/rewriter/rewriter_def.h:707:6: warning: 'void rewriter_tpl::update_binding_at(unsigned int, expr*) [with Config = {anonymous}::rd_over_wr_rewriter]' defined but not used [-Wunused-function] 707 | void rewriter_tpl::update_binding_at(unsigned i, expr* binding) { | ^~~~~~~~~~~~~~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/rewriter/rewriter_def.h:672:6: warning: 'void rewriter_tpl::set_bindings(unsigned int, expr* const*) [with Config = {anonymous}::rd_over_wr_rewriter]' defined but not used [-Wunused-function] 672 | void rewriter_tpl::set_bindings(unsigned num_bindings, expr * const * bindings) { | ^~~~~~~~~~~~~~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/rewriter/rewriter_def.h:654:6: warning: 'void rewriter_tpl::cleanup() [with Config = {anonymous}::rd_over_wr_rewriter]' defined but not used [-Wunused-function] 654 | void rewriter_tpl::cleanup() { | ^~~~~~~~~~~~~~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/rewriter/rewriter_def.h:625:6: warning: 'bool rewriter_tpl::not_rewriting() const [with Config = {anonymous}::rd_over_wr_rewriter]' defined but not used [-Wunused-function] 625 | bool rewriter_tpl::not_rewriting() const { | ^~~~~~~~~~~~~~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/rewriter/rewriter_def.h:664:6: warning: 'void rewriter_tpl::display_bindings(std::ostream&) [with Config = {anonymous}::rd_over_wr_rewriter]' defined but not used [-Wunused-function] 664 | void rewriter_tpl::display_bindings(std::ostream& out) { | ^~~~~~~~~~~~~~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/rewriter/rewriter_def.h:702:6: warning: 'void rewriter_tpl::update_inv_binding_at(unsigned int, expr*) [with Config = {anonymous}::app_const_arr_rewriter]' defined but not used [-Wunused-function] 702 | void rewriter_tpl::update_inv_binding_at(unsigned i, expr* binding) { | ^~~~~~~~~~~~~~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/rewriter/rewriter_def.h:707:6: warning: 'void rewriter_tpl::update_binding_at(unsigned int, expr*) [with Config = {anonymous}::app_const_arr_rewriter]' defined but not used [-Wunused-function] 707 | void rewriter_tpl::update_binding_at(unsigned i, expr* binding) { | ^~~~~~~~~~~~~~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/rewriter/rewriter_def.h:672:6: warning: 'void rewriter_tpl::set_bindings(unsigned int, expr* const*) [with Config = {anonymous}::app_const_arr_rewriter]' defined but not used [-Wunused-function] 672 | void rewriter_tpl::set_bindings(unsigned num_bindings, expr * const * bindings) { | ^~~~~~~~~~~~~~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/rewriter/rewriter_def.h:654:6: warning: 'void rewriter_tpl::cleanup() [with Config = {anonymous}::app_const_arr_rewriter]' defined but not used [-Wunused-function] 654 | void rewriter_tpl::cleanup() { | ^~~~~~~~~~~~~~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/rewriter/rewriter_def.h:625:6: warning: 'bool rewriter_tpl::not_rewriting() const [with Config = {anonymous}::app_const_arr_rewriter]' defined but not used [-Wunused-function] 625 | bool rewriter_tpl::not_rewriting() const { | ^~~~~~~~~~~~~~~~~~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/rewriter/rewriter_def.h:664:6: warning: 'void rewriter_tpl::display_bindings(std::ostream&) [with Config = {anonymous}::app_const_arr_rewriter]' defined but not used [-Wunused-function] 664 | void rewriter_tpl::display_bindings(std::ostream& out) { | ^~~~~~~~~~~~~~~~~~~~ [671/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/muz/base/fp_params.hpp" from "fp_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/muz/base/fp_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/muz/base/fp_params.hpp" [672/884] Building CXX object src/muz/fp/CMakeFiles/fp.dir/horn_tactic.cpp.o [673/884] Building CXX object src/muz/fp/CMakeFiles/fp.dir/dl_register_engine.cpp.o [674/884] Building CXX object src/muz/fp/CMakeFiles/fp.dir/dl_cmds.cpp.o [675/884] Building CXX object src/muz/fp/CMakeFiles/fp.dir/datalog_parser.cpp.o [676/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_arith_kernel.cpp.o [677/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_conjecture.cpp.o [678/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_convex_closure.cpp.o [679/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_concretize.cpp.o [680/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_sat_answer.cpp.o [681/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_pdr.cpp.o [682/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_mbc.cpp.o [683/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_iuc_proof.cpp.o [684/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_callback.cpp.o [685/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_cluster.cpp.o [686/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_expand_bnd_generalizer.cpp.o [687/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_ind_lemma_generalizer.cpp.o [688/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_global_generalizer.cpp.o [689/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_arith_generalizers.cpp.o [690/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_quant_generalizer.cpp.o [691/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_sem_matcher.cpp.o [692/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_qe_project.cpp.o [693/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_mev_array.cpp.o [694/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_antiunify.cpp.o [695/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_matrix.cpp.o [696/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_unsat_core_plugin.cpp.o [697/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_unsat_core_learner.cpp.o [698/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_proof_utils.cpp.o [699/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_legacy_mbp.cpp.o [700/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_iuc_solver.cpp.o [701/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_cluster_util.cpp.o [702/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_util.cpp.o [703/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_sym_mux.cpp.o [704/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_prop_solver.cpp.o [705/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_manager.cpp.o [706/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_generalizers.cpp.o [707/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_farkas_learner.cpp.o [708/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_dl_interface.cpp.o [709/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_context.cpp.o [710/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_legacy_frames.cpp.o [711/884] Building CXX object src/muz/spacer/CMakeFiles/spacer.dir/spacer_legacy_mev.cpp.o [712/884] Building CXX object src/muz/ddnf/CMakeFiles/ddnf.dir/ddnf.cpp.o [713/884] Building CXX object src/muz/bmc/CMakeFiles/bmc.dir/dl_bmc_engine.cpp.o [714/884] Building CXX object src/muz/tab/CMakeFiles/tab.dir/tab_context.cpp.o [715/884] Building CXX object src/muz/clp/CMakeFiles/clp.dir/clp_context.cpp.o [716/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/udoc_relation.cpp.o [717/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/rel_context.cpp.o [718/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/karr_relation.cpp.o [719/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/doc.cpp.o [720/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_table_relation.cpp.o [721/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_table.cpp.o [722/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_sparse_table.cpp.o [723/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_sieve_relation.cpp.o [724/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_relation_manager.cpp.o [725/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_product_relation.cpp.o [726/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_mk_simple_joins.cpp.o [727/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_mk_similarity_compressor.cpp.o [728/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_mk_explanations.cpp.o [729/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_lazy_table.cpp.o [730/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_interval_relation.cpp.o [731/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_instruction.cpp.o [732/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_finite_product_relation.cpp.o [733/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_external_relation.cpp.o [734/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_compiler.cpp.o [735/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_check_table.cpp.o [736/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_bound_relation.cpp.o [737/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/dl_base.cpp.o [738/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/check_relation.cpp.o [739/884] Building CXX object src/muz/rel/CMakeFiles/rel.dir/aig_exporter.cpp.o [740/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_synchronize.cpp.o [741/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_elim_term_ite.cpp.o [742/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_array_instantiation.cpp.o [743/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_array_eq_rewrite.cpp.o [744/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_transforms.cpp.o [745/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_unfold.cpp.o [746/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_unbound_compressor.cpp.o [747/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_subsumption_checker.cpp.o [748/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_slice.cpp.o [749/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_separate_negated_tails.cpp.o [750/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_scale.cpp.o [751/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_rule_inliner.cpp.o [752/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_quantifier_instantiation.cpp.o [753/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_quantifier_abstraction.cpp.o [754/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_magic_symbolic.cpp.o [755/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_magic_sets.cpp.o [756/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_loop_counter.cpp.o [757/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_karr_invariants.cpp.o [758/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_interp_tail_simplifier.cpp.o [759/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_filter_rules.cpp.o [760/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_coi_filter.cpp.o [761/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_coalesce.cpp.o [762/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_bit_blast.cpp.o [763/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_backwards.cpp.o [764/884] Building CXX object src/muz/transforms/CMakeFiles/transforms.dir/dl_mk_array_blast.cpp.o [765/884] Building CXX object src/muz/dataflow/CMakeFiles/dataflow.dir/dataflow.cpp.o [766/884] Building CXX object src/muz/base/CMakeFiles/muz.dir/rule_properties.cpp.o [767/884] Building CXX object src/muz/base/CMakeFiles/muz.dir/hnf.cpp.o [768/884] Building CXX object src/muz/base/CMakeFiles/muz.dir/dl_util.cpp.o [769/884] Building CXX object src/muz/base/CMakeFiles/muz.dir/dl_rule_transformer.cpp.o [770/884] Building CXX object src/muz/base/CMakeFiles/muz.dir/dl_rule_subsumption_index.cpp.o [771/884] Building CXX object src/muz/base/CMakeFiles/muz.dir/dl_rule_set.cpp.o [772/884] Building CXX object src/muz/base/CMakeFiles/muz.dir/dl_rule.cpp.o [773/884] Building CXX object src/muz/base/CMakeFiles/muz.dir/dl_costs.cpp.o [774/884] Building CXX object src/muz/base/CMakeFiles/muz.dir/dl_context.cpp.o [775/884] Building CXX object src/muz/base/CMakeFiles/muz.dir/dl_boogie_proof.cpp.o [776/884] Building CXX object src/muz/base/CMakeFiles/muz.dir/bind_variables.cpp.o In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/muz/spacer/spacer_global_generalizer.h:22, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/muz/spacer/spacer_global_generalizer.cpp:19: In member function 'void spacer::convex_closure::set_bv(unsigned int)', inlined from 'void spacer::lemma_global_generalizer::subsumer::setup_cvx_closure(spacer::convex_closure&, const spacer::lemma_cluster&)' at /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/muz/spacer/spacer_global_generalizer.cpp:228:18: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/muz/spacer/spacer_convex_closure.h:140:17: warning: 'bv_width' may be used uninitialized [-Wmaybe-uninitialized] 140 | m_bv_sz = sz; | ~~~~~~~~^~~~ /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/muz/spacer/spacer_global_generalizer.cpp: In member function 'void spacer::lemma_global_generalizer::subsumer::setup_cvx_closure(spacer::convex_closure&, const spacer::lemma_cluster&)': /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/muz/spacer/spacer_global_generalizer.cpp:226:14: note: 'bv_width' was declared here 226 | unsigned bv_width; | ^~~~~~~~ [777/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/tactic/smtlogics/qfufbv_tactic_params.hpp" from "qfufbv_tactic_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/tactic/smtlogics/qfufbv_tactic_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/tactic/smtlogics/qfufbv_tactic_params.hpp" [778/884] Building CXX object src/tactic/portfolio/CMakeFiles/portfolio.dir/solver_subsumption_tactic.cpp.o [779/884] Building CXX object src/tactic/portfolio/CMakeFiles/portfolio.dir/solver2lookahead.cpp.o [780/884] Building CXX object src/tactic/portfolio/CMakeFiles/portfolio.dir/smt_strategic_solver.cpp.o [781/884] Building CXX object src/tactic/portfolio/CMakeFiles/portfolio.dir/default_tactic.cpp.o [782/884] Building CXX object src/tactic/fpa/CMakeFiles/fpa_tactics.dir/qffplra_tactic.cpp.o [783/884] Building CXX object src/tactic/fpa/CMakeFiles/fpa_tactics.dir/qffp_tactic.cpp.o [784/884] Building CXX object src/tactic/fpa/CMakeFiles/fpa_tactics.dir/fpa2bv_tactic.cpp.o [785/884] Building CXX object src/tactic/fpa/CMakeFiles/fpa_tactics.dir/fpa2bv_model_converter.cpp.o [786/884] Building CXX object src/tactic/smtlogics/CMakeFiles/smtlogic_tactics.dir/smt_tactic.cpp.o [787/884] Building CXX object src/tactic/smtlogics/CMakeFiles/smtlogic_tactics.dir/quant_tactics.cpp.o [788/884] Building CXX object src/tactic/smtlogics/CMakeFiles/smtlogic_tactics.dir/qfuf_tactic.cpp.o [789/884] Building CXX object src/tactic/smtlogics/CMakeFiles/smtlogic_tactics.dir/qfufbv_tactic.cpp.o [790/884] Building CXX object src/tactic/smtlogics/CMakeFiles/smtlogic_tactics.dir/qfufbv_ackr_model_converter.cpp.o [791/884] Building CXX object src/tactic/smtlogics/CMakeFiles/smtlogic_tactics.dir/qfnra_tactic.cpp.o [792/884] Building CXX object src/tactic/smtlogics/CMakeFiles/smtlogic_tactics.dir/qfnia_tactic.cpp.o [793/884] Building CXX object src/tactic/smtlogics/CMakeFiles/smtlogic_tactics.dir/qflra_tactic.cpp.o [794/884] Building CXX object src/tactic/smtlogics/CMakeFiles/smtlogic_tactics.dir/qflia_tactic.cpp.o [795/884] Building CXX object src/tactic/smtlogics/CMakeFiles/smtlogic_tactics.dir/qfidl_tactic.cpp.o [796/884] Building CXX object src/tactic/smtlogics/CMakeFiles/smtlogic_tactics.dir/qfbv_tactic.cpp.o [797/884] Building CXX object src/tactic/smtlogics/CMakeFiles/smtlogic_tactics.dir/qfauflia_tactic.cpp.o [798/884] Building CXX object src/tactic/smtlogics/CMakeFiles/smtlogic_tactics.dir/qfaufbv_tactic.cpp.o [799/884] Building CXX object src/tactic/smtlogics/CMakeFiles/smtlogic_tactics.dir/nra_tactic.cpp.o [800/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/opt/opt_params.hpp" from "opt_params.pyg" INFO:root:Using /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/opt/opt_params.pyg INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/opt/opt_params.hpp" [801/884] Building CXX object src/opt/CMakeFiles/opt.dir/wmax.cpp.o [802/884] Building CXX object src/opt/CMakeFiles/opt.dir/totalizer.cpp.o [803/884] Building CXX object src/opt/CMakeFiles/opt.dir/sortmax.cpp.o [804/884] Building CXX object src/opt/CMakeFiles/opt.dir/pb_sls.cpp.o [805/884] Building CXX object src/opt/CMakeFiles/opt.dir/opt_solver.cpp.o [806/884] Building CXX object src/opt/CMakeFiles/opt.dir/optsmt.cpp.o [807/884] Building CXX object src/opt/CMakeFiles/opt.dir/opt_preprocess.cpp.o [808/884] Building CXX object src/opt/CMakeFiles/opt.dir/opt_parse.cpp.o [809/884] Building CXX object src/opt/CMakeFiles/opt.dir/opt_pareto.cpp.o [810/884] Building CXX object src/opt/CMakeFiles/opt.dir/opt_lns.cpp.o [811/884] Building CXX object src/opt/CMakeFiles/opt.dir/opt_cores.cpp.o [812/884] Building CXX object src/opt/CMakeFiles/opt.dir/opt_context.cpp.o [813/884] Building CXX object src/opt/CMakeFiles/opt.dir/opt_cmds.cpp.o [814/884] Building CXX object src/opt/CMakeFiles/opt.dir/maxsmt.cpp.o [815/884] Building CXX object src/opt/CMakeFiles/opt.dir/maxlex.cpp.o [816/884] Building CXX object src/opt/CMakeFiles/opt.dir/maxcore.cpp.o [817/884] Generating api_commands.cpp;api_log_macros.cpp;api_log_macros.h Faking emission of 'z3/z3core.py' Generated '/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/api/api_log_macros.h' Generated '/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/api/api_log_macros.cpp' Generated '/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/api/api_commands.cpp' Generated '24' [818/884] Building CXX object src/api/CMakeFiles/api.dir/api_log_macros.cpp.o [819/884] Building CXX object src/api/CMakeFiles/api.dir/api_commands.cpp.o [820/884] Building CXX object src/api/CMakeFiles/api.dir/z3_replayer.cpp.o [821/884] Building CXX object src/api/CMakeFiles/api.dir/api_tactic.cpp.o [822/884] Building CXX object src/api/CMakeFiles/api.dir/api_stats.cpp.o [823/884] Building CXX object src/api/CMakeFiles/api.dir/api_special_relations.cpp.o [824/884] Building CXX object src/api/CMakeFiles/api.dir/api_solver.cpp.o [825/884] Building CXX object src/api/CMakeFiles/api.dir/api_seq.cpp.o [826/884] Building CXX object src/api/CMakeFiles/api.dir/api_rcf.cpp.o [827/884] Building CXX object src/api/CMakeFiles/api.dir/api_quant.cpp.o [828/884] Building CXX object src/api/CMakeFiles/api.dir/api_qe.cpp.o [829/884] Building CXX object src/api/CMakeFiles/api.dir/api_polynomial.cpp.o [830/884] Building CXX object src/api/CMakeFiles/api.dir/api_pb.cpp.o [831/884] Building CXX object src/api/CMakeFiles/api.dir/api_parsers.cpp.o [832/884] Building CXX object src/api/CMakeFiles/api.dir/api_params.cpp.o [833/884] Building CXX object src/api/CMakeFiles/api.dir/api_opt.cpp.o [834/884] Building CXX object src/api/CMakeFiles/api.dir/api_numeral.cpp.o [835/884] Building CXX object src/api/CMakeFiles/api.dir/api_model.cpp.o [836/884] Building CXX object src/api/CMakeFiles/api.dir/api_log.cpp.o [837/884] Building CXX object src/api/CMakeFiles/api.dir/api_goal.cpp.o [838/884] Building CXX object src/api/CMakeFiles/api.dir/api_fpa.cpp.o [839/884] Building CXX object src/api/CMakeFiles/api.dir/api_datatype.cpp.o [840/884] Building CXX object src/api/CMakeFiles/api.dir/api_datalog.cpp.o [841/884] Building CXX object src/api/CMakeFiles/api.dir/api_context.cpp.o [842/884] Building CXX object src/api/CMakeFiles/api.dir/api_config_params.cpp.o [843/884] Building CXX object src/api/CMakeFiles/api.dir/api_bv.cpp.o [844/884] Building CXX object src/api/CMakeFiles/api.dir/api_ast_vector.cpp.o [845/884] Building CXX object src/api/CMakeFiles/api.dir/api_ast_map.cpp.o [846/884] Building CXX object src/api/CMakeFiles/api.dir/api_ast.cpp.o [847/884] Building CXX object src/api/CMakeFiles/api.dir/api_array.cpp.o [848/884] Building CXX object src/api/CMakeFiles/api.dir/api_arith.cpp.o [849/884] Building CXX object src/api/CMakeFiles/api.dir/api_algebraic.cpp.o In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/solver/check_sat_result.h:26, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/solver/solver.h:22, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/smt/smt_kernel.h:34, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/api/api_context.h:36, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/api/api_solver.cpp:28: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/converters/model_converter.h:81:18: warning: 'virtual void model_converter::operator()(labels_vec&)' was hidden [-Woverloaded-virtual=] 81 | virtual void operator()(labels_vec & r) {} | ^~~~~~~~ In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/api/api_solver.cpp:45: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/tactic/sat2goal.h:58:14: note: by 'sat2goal::mc::operator()' 58 | void operator()(expr_ref& fml) override; | ^~~~~~~~ [850/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/api/dll/gparams_register_modules.cpp" INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/api/dll/gparams_register_modules.cpp" [851/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/shell/mem_initializer.cpp" INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/shell/mem_initializer.cpp" [852/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/shell/install_tactic.cpp" INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/shell/install_tactic.cpp" [853/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/shell/gparams_register_modules.cpp" INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/shell/gparams_register_modules.cpp" [854/884] Building CXX object src/shell/CMakeFiles/shell.dir/gparams_register_modules.cpp.o [855/884] Building CXX object src/shell/CMakeFiles/shell.dir/z3_log_frontend.cpp.o [856/884] Building CXX object src/shell/CMakeFiles/shell.dir/smtlib_frontend.cpp.o [857/884] Building CXX object src/shell/CMakeFiles/shell.dir/opt_frontend.cpp.o [858/884] Building CXX object src/shell/CMakeFiles/shell.dir/mem_initializer.cpp.o [859/884] Building CXX object src/shell/CMakeFiles/shell.dir/main.cpp.o [860/884] Building CXX object src/shell/CMakeFiles/shell.dir/install_tactic.cpp.o [861/884] Building CXX object src/shell/CMakeFiles/shell.dir/drat_frontend.cpp.o [862/884] Building CXX object src/shell/CMakeFiles/shell.dir/dimacs_frontend.cpp.o [863/884] Building CXX object src/shell/CMakeFiles/shell.dir/datalog_frontend.cpp.o [864/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/api/dll/mem_initializer.cpp" INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/api/dll/mem_initializer.cpp" [865/884] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/api/dll/install_tactic.cpp" INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/api/dll/install_tactic.cpp" [866/884] Building CXX object src/api/dll/CMakeFiles/api_dll.dir/install_tactic.cpp.o [867/884] Building CXX object src/api/dll/CMakeFiles/api_dll.dir/mem_initializer.cpp.o [868/884] Building CXX object src/api/dll/CMakeFiles/api_dll.dir/gparams_register_modules.cpp.o [869/884] Building CXX object src/api/dll/CMakeFiles/api_dll.dir/dll.cpp.o In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/tactic/goal.h:37, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/tactic/goal2sat.h:31, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/shell/dimacs_frontend.cpp:28: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/converters/model_converter.h:81:18: warning: 'virtual void model_converter::operator()(labels_vec&)' was hidden [-Woverloaded-virtual=] 81 | virtual void operator()(labels_vec & r) {} | ^~~~~~~~ In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/shell/dimacs_frontend.cpp:29: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/sat/tactic/sat2goal.h:58:14: note: by 'sat2goal::mc::operator()' 58 | void operator()(expr_ref& fml) override; | ^~~~~~~~ [870/884] Linking CXX executable z3 [871/884] Linking CXX shared library libz3.so.4.13.0.0 [872/884] Creating library symlink libz3.so.4.13 libz3.so [873/884] Copying "z3test.py" to /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/z3test.py [874/884] Copying "z3/z3util.py" to /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/z3/z3util.py [875/884] Copying "z3/z3types.py" to /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/z3/z3types.py [876/884] Copying "z3/z3rcf.py" to /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/z3/z3rcf.py [877/884] Copying "z3/z3printer.py" to /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/z3/z3printer.py [878/884] Copying "z3/z3poly.py" to /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/z3/z3poly.py [879/884] Copying "z3/z3num.py" to /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/z3/z3num.py [880/884] Generating z3consts.py INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/z3/z3consts.py" [884/884] Generating z3core.py Faking emission of 'api_log_macros.h' Faking emission of 'api_log_macros.cpp' Faking emission of 'api_commands.cpp' Generated '20' Generated '22' Generated '23' Generated '/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/python/z3/z3core.py' [1/129] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/test/gparams_register_modules.cpp" INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/test/gparams_register_modules.cpp" [2/129] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/test/mem_initializer.cpp" INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/test/mem_initializer.cpp" [3/129] Generating "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/test/install_tactic.cpp" INFO:root:Generated "/home/buildozer/aports/community/z3/src/z3-z3-4.13.0/build/src/test/install_tactic.cpp" [4/129] Building CXX object src/test/CMakeFiles/test-z3.dir/install_tactic.cpp.o [5/129] Building CXX object src/test/CMakeFiles/test-z3.dir/zstring.cpp.o [6/129] Building CXX object src/test/CMakeFiles/test-z3.dir/lp/nla_solver_test.cpp.o [7/129] Building CXX object src/test/CMakeFiles/test-z3.dir/lp/lp.cpp.o [8/129] Building CXX object src/test/CMakeFiles/test-z3.dir/vector.cpp.o [9/129] Building CXX object src/test/CMakeFiles/test-z3.dir/var_subst.cpp.o [10/129] Building CXX object src/test/CMakeFiles/test-z3.dir/value_sweep.cpp.o [11/129] Building CXX object src/test/CMakeFiles/test-z3.dir/value_generator.cpp.o [12/129] Building CXX object src/test/CMakeFiles/test-z3.dir/upolynomial.cpp.o [13/129] Building CXX object src/test/CMakeFiles/test-z3.dir/uint_set.cpp.o [14/129] Building CXX object src/test/CMakeFiles/test-z3.dir/udoc_relation.cpp.o [15/129] Building CXX object src/test/CMakeFiles/test-z3.dir/trigo.cpp.o [16/129] Building CXX object src/test/CMakeFiles/test-z3.dir/totalizer.cpp.o [17/129] Building CXX object src/test/CMakeFiles/test-z3.dir/total_order.cpp.o [18/129] Building CXX object src/test/CMakeFiles/test-z3.dir/timeout.cpp.o [19/129] Building CXX object src/test/CMakeFiles/test-z3.dir/theory_pb.cpp.o [20/129] Building CXX object src/test/CMakeFiles/test-z3.dir/theory_dl.cpp.o [21/129] Building CXX object src/test/CMakeFiles/test-z3.dir/tbv.cpp.o [22/129] Building CXX object src/test/CMakeFiles/test-z3.dir/symbol_table.cpp.o [23/129] Building CXX object src/test/CMakeFiles/test-z3.dir/symbol.cpp.o [24/129] Building CXX object src/test/CMakeFiles/test-z3.dir/substitution.cpp.o [25/129] Building CXX object src/test/CMakeFiles/test-z3.dir/string_buffer.cpp.o [26/129] Building CXX object src/test/CMakeFiles/test-z3.dir/stack.cpp.o [27/129] Building CXX object src/test/CMakeFiles/test-z3.dir/sorting_network.cpp.o [28/129] Building CXX object src/test/CMakeFiles/test-z3.dir/solver_pool.cpp.o [29/129] Building CXX object src/test/CMakeFiles/test-z3.dir/smt_context.cpp.o [30/129] Building CXX object src/test/CMakeFiles/test-z3.dir/smt2print_parse.cpp.o [31/129] Building CXX object src/test/CMakeFiles/test-z3.dir/small_object_allocator.cpp.o [32/129] Building CXX object src/test/CMakeFiles/test-z3.dir/sls_test.cpp.o [33/129] Building CXX object src/test/CMakeFiles/test-z3.dir/simplifier.cpp.o [34/129] Building CXX object src/test/CMakeFiles/test-z3.dir/simplex.cpp.o [35/129] Building CXX object src/test/CMakeFiles/test-z3.dir/simple_parser.cpp.o [36/129] Building CXX object src/test/CMakeFiles/test-z3.dir/scoped_timer.cpp.o [37/129] Building CXX object src/test/CMakeFiles/test-z3.dir/sat_user_scope.cpp.o [38/129] Building CXX object src/test/CMakeFiles/test-z3.dir/sat_lookahead.cpp.o [39/129] Building CXX object src/test/CMakeFiles/test-z3.dir/sat_local_search.cpp.o [40/129] Building CXX object src/test/CMakeFiles/test-z3.dir/region.cpp.o [41/129] Building CXX object src/test/CMakeFiles/test-z3.dir/rcf.cpp.o [42/129] Building CXX object src/test/CMakeFiles/test-z3.dir/rational.cpp.o [43/129] Building CXX object src/test/CMakeFiles/test-z3.dir/random.cpp.o [44/129] Building CXX object src/test/CMakeFiles/test-z3.dir/quant_solve.cpp.o [45/129] Building CXX object src/test/CMakeFiles/test-z3.dir/quant_elim.cpp.o [46/129] Building CXX object src/test/CMakeFiles/test-z3.dir/qe_arith.cpp.o [47/129] Building CXX object src/test/CMakeFiles/test-z3.dir/proof_checker.cpp.o [48/129] Building CXX object src/test/CMakeFiles/test-z3.dir/prime_generator.cpp.o [49/129] Building CXX object src/test/CMakeFiles/test-z3.dir/polynorm.cpp.o [50/129] Building CXX object src/test/CMakeFiles/test-z3.dir/polynomial.cpp.o [51/129] Building CXX object src/test/CMakeFiles/test-z3.dir/permutation.cpp.o [52/129] Building CXX object src/test/CMakeFiles/test-z3.dir/pdd_solver.cpp.o [53/129] Building CXX object src/test/CMakeFiles/test-z3.dir/pdd.cpp.o [54/129] Building CXX object src/test/CMakeFiles/test-z3.dir/pb2bv.cpp.o [55/129] Building CXX object src/test/CMakeFiles/test-z3.dir/parray.cpp.o [56/129] Building CXX object src/test/CMakeFiles/test-z3.dir/optional.cpp.o [57/129] Building CXX object src/test/CMakeFiles/test-z3.dir/old_interval.cpp.o [58/129] Building CXX object src/test/CMakeFiles/test-z3.dir/object_allocator.cpp.o [59/129] Building CXX object src/test/CMakeFiles/test-z3.dir/no_overflow.cpp.o [60/129] Building CXX object src/test/CMakeFiles/test-z3.dir/nlsat.cpp.o [61/129] Building CXX object src/test/CMakeFiles/test-z3.dir/nlarith_util.cpp.o [62/129] Building CXX object src/test/CMakeFiles/test-z3.dir/mpz.cpp.o [63/129] Building CXX object src/test/CMakeFiles/test-z3.dir/mpq.cpp.o [64/129] Building CXX object src/test/CMakeFiles/test-z3.dir/mpfx.cpp.o [65/129] Building CXX object src/test/CMakeFiles/test-z3.dir/mpff.cpp.o [66/129] Building CXX object src/test/CMakeFiles/test-z3.dir/mpf.cpp.o [67/129] Building CXX object src/test/CMakeFiles/test-z3.dir/mpbq.cpp.o [68/129] Building CXX object src/test/CMakeFiles/test-z3.dir/model_retrieval.cpp.o [69/129] Building CXX object src/test/CMakeFiles/test-z3.dir/model_evaluator.cpp.o [70/129] Building CXX object src/test/CMakeFiles/test-z3.dir/model_based_opt.cpp.o [71/129] Building CXX object src/test/CMakeFiles/test-z3.dir/model2expr.cpp.o [72/129] Building CXX object src/test/CMakeFiles/test-z3.dir/memory.cpp.o [73/129] Building CXX object src/test/CMakeFiles/test-z3.dir/mem_initializer.cpp.o [74/129] Building CXX object src/test/CMakeFiles/test-z3.dir/matcher.cpp.o [75/129] Building CXX object src/test/CMakeFiles/test-z3.dir/map.cpp.o [76/129] Building CXX object src/test/CMakeFiles/test-z3.dir/main.cpp.o [77/129] Building CXX object src/test/CMakeFiles/test-z3.dir/list.cpp.o [78/129] Building CXX object src/test/CMakeFiles/test-z3.dir/karr.cpp.o [79/129] Building CXX object src/test/CMakeFiles/test-z3.dir/interval.cpp.o [80/129] Building CXX object src/test/CMakeFiles/test-z3.dir/inf_rational.cpp.o [81/129] Building CXX object src/test/CMakeFiles/test-z3.dir/hwf.cpp.o [82/129] Building CXX object src/test/CMakeFiles/test-z3.dir/horn_subsume_model_converter.cpp.o [83/129] Building CXX object src/test/CMakeFiles/test-z3.dir/hilbert_basis.cpp.o [84/129] Building CXX object src/test/CMakeFiles/test-z3.dir/heap_trie.cpp.o [85/129] Building CXX object src/test/CMakeFiles/test-z3.dir/heap.cpp.o [86/129] Building CXX object src/test/CMakeFiles/test-z3.dir/hashtable.cpp.o [87/129] Building CXX object src/test/CMakeFiles/test-z3.dir/gparams_register_modules.cpp.o [88/129] Building CXX object src/test/CMakeFiles/test-z3.dir/get_implied_equalities.cpp.o [89/129] Building CXX object src/test/CMakeFiles/test-z3.dir/get_consequences.cpp.o [90/129] Building CXX object src/test/CMakeFiles/test-z3.dir/for_each_file.cpp.o [91/129] Building CXX object src/test/CMakeFiles/test-z3.dir/fixed_bit_vector.cpp.o [92/129] Building CXX object src/test/CMakeFiles/test-z3.dir/finder.cpp.o [93/129] Building CXX object src/test/CMakeFiles/test-z3.dir/factor_rewriter.cpp.o [94/129] Building CXX object src/test/CMakeFiles/test-z3.dir/f2n.cpp.o [95/129] Building CXX object src/test/CMakeFiles/test-z3.dir/ext_numeral.cpp.o [96/129] Building CXX object src/test/CMakeFiles/test-z3.dir/expr_substitution.cpp.o [97/129] Building CXX object src/test/CMakeFiles/test-z3.dir/expr_rand.cpp.o [98/129] Building CXX object src/test/CMakeFiles/test-z3.dir/ex.cpp.o [99/129] Building CXX object src/test/CMakeFiles/test-z3.dir/euf_arith_plugin.cpp.o [100/129] Building CXX object src/test/CMakeFiles/test-z3.dir/euf_bv_plugin.cpp.o [101/129] Building CXX object src/test/CMakeFiles/test-z3.dir/escaped.cpp.o [102/129] Building CXX object src/test/CMakeFiles/test-z3.dir/egraph.cpp.o /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/test/memory.cpp: In function 'void hit_me(const char*)': /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/test/memory.cpp:42:25: warning: catching polymorphic type 'class std::bad_alloc' by value [-Wcatch-value=] 42 | catch (std::bad_alloc) { | ^~~~~~~~~ [103/129] Building CXX object src/test/CMakeFiles/test-z3.dir/doc.cpp.o [104/129] Building CXX object src/test/CMakeFiles/test-z3.dir/dl_util.cpp.o [105/129] Building CXX object src/test/CMakeFiles/test-z3.dir/dl_table.cpp.o [106/129] Building CXX object src/test/CMakeFiles/test-z3.dir/dl_relation.cpp.o [107/129] Building CXX object src/test/CMakeFiles/test-z3.dir/dl_query.cpp.o [108/129] Building CXX object src/test/CMakeFiles/test-z3.dir/dl_product_relation.cpp.o [109/129] Building CXX object src/test/CMakeFiles/test-z3.dir/dl_context.cpp.o [110/129] Building CXX object src/test/CMakeFiles/test-z3.dir/distribution.cpp.o [111/129] Building CXX object src/test/CMakeFiles/test-z3.dir/diff_logic.cpp.o [112/129] Building CXX object src/test/CMakeFiles/test-z3.dir/ddnf.cpp.o [113/129] Building CXX object src/test/CMakeFiles/test-z3.dir/datalog_parser.cpp.o [114/129] Building CXX object src/test/CMakeFiles/test-z3.dir/cube_clause.cpp.o [115/129] Building CXX object src/test/CMakeFiles/test-z3.dir/cnf_backbones.cpp.o [116/129] Building CXX object src/test/CMakeFiles/test-z3.dir/check_assumptions.cpp.o [117/129] Building CXX object src/test/CMakeFiles/test-z3.dir/chashtable.cpp.o [118/129] Building CXX object src/test/CMakeFiles/test-z3.dir/buffer.cpp.o [119/129] Building CXX object src/test/CMakeFiles/test-z3.dir/bit_vector.cpp.o [120/129] Building CXX object src/test/CMakeFiles/test-z3.dir/bits.cpp.o [121/129] Building CXX object src/test/CMakeFiles/test-z3.dir/bit_blaster.cpp.o [122/129] Building CXX object src/test/CMakeFiles/test-z3.dir/bdd.cpp.o [123/129] Building CXX object src/test/CMakeFiles/test-z3.dir/ast.cpp.o [124/129] Building CXX object src/test/CMakeFiles/test-z3.dir/arith_simplifier_plugin.cpp.o [125/129] Building CXX object src/test/CMakeFiles/test-z3.dir/arith_rewriter.cpp.o [126/129] Building CXX object src/test/CMakeFiles/test-z3.dir/api.cpp.o [127/129] Building CXX object src/test/CMakeFiles/test-z3.dir/api_bug.cpp.o [128/129] Building CXX object src/test/CMakeFiles/test-z3.dir/algebraic.cpp.o In file included from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_arith_plugin.h:21, from /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/test/euf_arith_plugin.cpp:9: /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_ac_plugin.h: In member function 'bool euf::ac_plugin::is_op(euf::enode*) const': /home/buildozer/aports/community/z3/src/z3-z3-4.13.0/src/ast/euf/euf_ac_plugin.h:184:127: warning: comparison of integer expressions of different signedness: 'const unsigned int' and 'decl_kind' {aka 'int'} [-Wsign-compare] 184 | bool is_op(enode* n) const { auto d = n->get_decl(); return d && (d == m_decl || (m_fid == d->get_family_id() && m_op == d->get_decl_kind())); } | ~~~~~^~~~~~~~~~~~~~~~~~~~~ [129/129] Linking CXX executable test-z3 PASS (test random :time 0.00 :before-memory 0.97 :after-memory 0.97) PASS (test random :time 0.00 :before-memory 0.97 :after-memory 0.97) PASS (test symbol_table :time 0.00 :before-memory 0.97 :after-memory 0.97) PASS (test symbol_table :time 0.00 :before-memory 0.97 :after-memory 0.97) PASS (test region :time 0.00 :before-memory 0.97 :after-memory 0.97) PASS (test region :time 0.00 :before-memory 0.97 :after-memory 0.97) foo boo foo PASS (test symbol :time 0.00 :before-memory 0.97 :after-memory 0.97) foo boo foo PASS (test symbol :time 0.00 :before-memory 0.97 :after-memory 0.97) 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 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 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 0.01 :before-memory 0.97 :after-memory 1.08) 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 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 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 0.01 :before-memory 1.08 :after-memory 1.08) PASS (test hashtable :time 0.00 :before-memory 1.08 :after-memory 1.08) PASS (test hashtable :time 0.00 :before-memory 1.08 :after-memory 1.08) sizeof(rational): 32 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 3.62 :before-memory 1.42 :after-memory 32.20) (multiplication with floats: :time 0.00 :before-memory 32.20 :after-memory 32.20) Testing multiplication performance using small ints (multiplication with rationals :time 0.01 :before-memory 69.13 :after-memory 69.13) (multiplication with floats: :time 0.00 :before-memory 69.13 :after-memory 69.13) Testing multiplication performance using small rationals (multiplication with rationals :time 0.10 :before-memory 69.13 :after-memory 69.13) (multiplication with floats: :time 0.00 :before-memory 69.13 :after-memory 69.13) test12 0: 1 1: 0 2: 0 3: 0 4: 0 5: 0 6: 0 7: 0 8: 0 9: 0 10: 0 11: 0 12: 0 13: 0 14: 0 15: 0 16: 0 17: 0 18: 0 19: 0 20: 0 21: 0 22: 0 23: 0 24: 0 25: 0 26: 0 27: 0 28: 0 29: 0 30: 0 31: 0 32: 0 33: 0 34: 1 35: 0 36: 0 37: 1 38: 1 39: 0 40: 0 41: 1 42: 1 43: 1 44: 0 45: 0 46: 0 47: 1 48: 1 49: 0 50: 1 51: 1 52: 0 53: 0 54: 0 55: 1 56: 1 57: 1 58: 1 59: 0 60: 1 61: 1 62: 0 63: 0 64: 0 65: 0 66: 0 67: 0 68: 0 69: 0 70: 1 71: 1 72: 1 73: 1 74: 1 75: 0 76: 0 77: 0 78: 0 79: 1 80: 1 81: 0 82: 1 83: 1 84: 0 85: 1 86: 0 87: 1 88: 0 89: 1 90: 1 91: 1 92: 1 93: 1 94: 0 95: 1 96: 1 97: 0 98: 0 99: 1 100: 0 101: 0 102: 0 103: 0 104: 1 105: 0 106: 1 107: 1 108: 0 109: 1 110: 1 111: 1 112: 1 test13 PASS (test rational :time 4.07 :before-memory 1.08 :after-memory 1.04) sizeof(rational): 32 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 3.62 :before-memory 1.42 :after-memory 32.19) (multiplication with floats: :time 0.00 :before-memory 32.19 :after-memory 32.19) Testing multiplication performance using small ints (multiplication with rationals :time 0.01 :before-memory 69.13 :after-memory 69.13) (multiplication with floats: :time 0.00 :before-memory 69.13 :after-memory 69.13) Testing multiplication performance using small rationals (multiplication with rationals :time 0.10 :before-memory 69.13 :after-memory 69.13) (multiplication with floats: :time 0.00 :before-memory 69.13 :after-memory 69.13) test12 0: 1 1: 0 2: 0 3: 0 4: 0 5: 0 6: 0 7: 0 8: 0 9: 0 10: 0 11: 0 12: 0 13: 0 14: 0 15: 0 16: 0 17: 0 18: 0 19: 0 20: 0 21: 0 22: 0 23: 0 24: 0 25: 0 26: 0 27: 0 28: 0 29: 0 30: 0 31: 0 32: 0 33: 0 34: 1 35: 0 36: 0 37: 1 38: 1 39: 0 40: 0 41: 1 42: 1 43: 1 44: 0 45: 0 46: 0 47: 1 48: 1 49: 0 50: 1 51: 1 52: 0 53: 0 54: 0 55: 1 56: 1 57: 1 58: 1 59: 0 60: 1 61: 1 62: 0 63: 0 64: 0 65: 0 66: 0 67: 0 68: 0 69: 0 70: 1 71: 1 72: 1 73: 1 74: 1 75: 0 76: 0 77: 0 78: 0 79: 1 80: 1 81: 0 82: 1 83: 1 84: 0 85: 1 86: 0 87: 1 88: 0 89: 1 90: 1 91: 1 92: 1 93: 1 94: 0 95: 1 96: 1 97: 0 98: 0 99: 1 100: 0 101: 0 102: 0 103: 0 104: 1 105: 0 106: 1 107: 1 108: 0 109: 1 110: 1 111: 1 112: 1 test13 PASS (test rational :time 4.07 :before-memory 1.04 :after-memory 1.05) PASS (test inf_rational :time 0.00 :before-memory 1.05 :after-memory 1.05) PASS (test inf_rational :time 0.00 :before-memory 1.05 :after-memory 1.05) PASS (test ast :time 0.01 :before-memory 1.05 :after-memory 1.08) PASS (test ast :time 0.01 :before-memory 1.08 :after-memory 1.08) PASS (test optional :time 0.00 :before-memory 1.08 :after-memory 1.08) PASS (test optional :time 0.00 :before-memory 1.08 :after-memory 1.08) 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 1.08 :after-memory 1.08) 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 1.08 :after-memory 1.08) 0000010000 0100001110 0100011110 PASS (test fixed_bit_vector :time 0.00 :before-memory 1.08 :after-memory 1.08) 0000010000 0100001110 0100011110 PASS (test fixed_bit_vector :time 0.00 :before-memory 1.08 :after-memory 1.08) [] [] [] 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 1.08 :after-memory 1.08) [] [] [] 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 1.08 :after-memory 1.08) 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 10.72 :before-memory 1.08 :after-memory 1.08) 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 11.17 :before-memory 1.08 :after-memory 1.08) {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 1.98 :before-memory 1.08 :after-memory 1.07) {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 2.02 :before-memory 1.07 :after-memory 1.07) PASS (test string_buffer :time 0.00 :before-memory 1.07 :after-memory 1.07) PASS (test string_buffer :time 0.00 :before-memory 1.07 :after-memory 1.07) PASS (test map :time 0.00 :before-memory 1.07 :after-memory 1.07) PASS (test map :time 0.00 :before-memory 1.07 :after-memory 1.07) PASS (test diff_logic :time 0.00 :before-memory 1.07 :after-memory 1.07) PASS (test diff_logic :time 0.00 :before-memory 1.07 :after-memory 1.07) 0 2 6 8198 {1, 2, 44} : 1 {1, 2, 4, 44} : 3 PASS (test uint_set :time 0.02 :before-memory 1.07 :after-memory 1.07) 0 2 6 8198 {1, 2, 44} : 1 {1, 2, 4, 44} : 3 PASS (test uint_set :time 0.02 :before-memory 1.07 :after-memory 1.07) PASS (test list :time 0.00 :before-memory 1.07 :after-memory 1.07) PASS (test list :time 0.00 :before-memory 1.07 :after-memory 1.07) PASS (test small_object_allocator :time 0.00 :before-memory 1.07 :after-memory 1.07) PASS (test small_object_allocator :time 0.00 :before-memory 1.07 :after-memory 1.07) PASS (test timeout :time 0.00 :before-memory 1.07 :after-memory 1.07) PASS (test timeout :time 0.00 :before-memory 1.07 :after-memory 1.07) [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 1.07 :after-memory 1.10) [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 1.10 :after-memory 1.10) (exists ((x Real)) (! (and (= (+ x 1.0) xp) (>= (+ x y) 0.0)) :weight 0)) (>= (+ xp y) 1.0) PASS (test simplifier :time 0.02 :before-memory 1.10 :after-memory 17.51) (exists ((x Real)) (! (and (= (+ x 1.0) xp) (>= (+ x y) 0.0)) :weight 0)) (>= (+ xp y) 1.0) PASS (test simplifier :time 0.02 :before-memory 17.51 :after-memory 34.00) PASS (test bit_blaster :time 0.00 :before-memory 34.00 :after-memory 34.08) PASS (test bit_blaster :time 0.00 :before-memory 34.08 :after-memory 34.08) (forall ((y S)) (! (and (p y (:var 1)) (p (:var 2) (:var 3))) :weight 0)) (forall ((y S)) (! (and (p y (:var 2)) (p (:var 1) (:var 3))) :weight 0)) (forall ((y S)) (! (and (p y (:var 2)) (p (:var 1) (:var 3))) :weight 0)) (forall ((y S) (x S)) (! (and (p x y) (p (:var 2) (:var 3))) :weight 0)) (forall ((y S) (x S)) (! (and (p x y) (p (:var 3) (:var 2))) :weight 0)) (forall ((y S) (x S)) (! (and (p x y) (p (:var 3) (:var 2))) :weight 0)) PASS (test var_subst :time 0.00 :before-memory 34.08 :after-memory 34.09) (forall ((y S)) (! (and (p y (:var 1)) (p (:var 2) (:var 3))) :weight 0)) (forall ((y S)) (! (and (p y (:var 2)) (p (:var 1) (:var 3))) :weight 0)) (forall ((y S)) (! (and (p y (:var 2)) (p (:var 1) (:var 3))) :weight 0)) (forall ((y S) (x S)) (! (and (p x y) (p (:var 2) (:var 3))) :weight 0)) (forall ((y S) (x S)) (! (and (p x y) (p (:var 3) (:var 2))) :weight 0)) (forall ((y S) (x S)) (! (and (p x y) (p (:var 3) (:var 2))) :weight 0)) PASS (test var_subst :time 0.00 :before-memory 34.09 :after-memory 34.09) WARNING: parser error WARNING: parser error WARNING: parser error PASS (test simple_parser :time 0.01 :before-memory 34.09 :after-memory 34.08) WARNING: parser error WARNING: parser error WARNING: parser error PASS (test simple_parser :time 0.00 :before-memory 34.08 :after-memory 34.08) 1 1 1 1 PASS (test api :time 0.05 :before-memory 34.08 :after-memory 34.10) 1 1 1 1 PASS (test api :time 0.05 :before-memory 34.10 :after-memory 34.10) l_true l_true l_true l_false a l_false a c l_false a c e l_true PASS (test cube_clause :time 0.00 :before-memory 34.10 :after-memory 34.11) l_true l_true l_true l_false a l_false a c l_false a c e l_true PASS (test cube_clause :time 0.00 :before-memory 34.11 :after-memory 34.11) 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] [-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 34.11 :after-memory 34.11) 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] [-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 34.11 :after-memory 34.11) 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 0.01 :before-memory 34.11 :after-memory 34.13) 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 0.01 :before-memory 34.13 :after-memory 34.13) not solved 1 3 0 0 PASS (test arith_simplifier_plugin :time 0.00 :before-memory 34.13 :after-memory 34.08) not solved 1 3 0 0 PASS (test arith_simplifier_plugin :time 0.00 :before-memory 34.08 :after-memory 34.08) Is (f (g (h a)) (h a)) an instance of (f (g (:var 0)) (:var 0)) yes VAR 0:0 --> 1 (h a) Are the arguments of (f (g (h a)) (h a)) an instance of the arguments of (f (g (:var 0)) (:var 0)) yes VAR 0:0 --> 1 (h a) applying substitution to (r (:var 0) (:var 1) (:var 2)) result: (r (h a) (:var 1) (:var 2)) Is (f (g (h a)) (g (h a))) an instance of (f (g (:var 0)) (:var 0)) no Are the arguments of (f (g (h a)) (g (h a))) an instance of the arguments of (f (g (:var 0)) (:var 0)) no Is (f (:var 1) (:var 0)) an instance of (f (:var 0) (:var 1)) yes VAR 0:0 --> 1 (:var 1) VAR 1:0 --> 1 (:var 0) Are the arguments of (f (:var 1) (:var 0)) an instance of the arguments of (f (:var 0) (:var 1)) yes VAR 0:0 --> 1 (:var 1) VAR 1:0 --> 1 (:var 0) applying substitution to (r (:var 0) (:var 1) (:var 2)) result: (r (:var 1) (:var 0) (:var 2)) Is (f (:var 1) (g (:var 0))) an instance of (f (:var 0) (:var 1)) yes VAR 0:0 --> 1 (:var 1) VAR 1:0 --> 1 (g (:var 0)) Are the arguments of (f (:var 1) (g (:var 0))) an instance of the arguments of (f (:var 0) (:var 1)) yes VAR 0:0 --> 1 (:var 1) VAR 1:0 --> 1 (g (:var 0)) applying substitution to (r (:var 0) (:var 1) (:var 2)) result: (r (:var 1) (g (:var 0)) (:var 2)) Is (f (:var 0) (:var 1)) an instance of (f (:var 1) (g (:var 0))) no Are the arguments of (f (:var 0) (:var 1)) an instance of the arguments of (f (:var 1) (g (:var 0))) no PASS (test matcher :time 0.00 :before-memory 34.08 :after-memory 34.09) Is (f (g (h a)) (h a)) an instance of (f (g (:var 0)) (:var 0)) yes VAR 0:0 --> 1 (h a) Are the arguments of (f (g (h a)) (h a)) an instance of the arguments of (f (g (:var 0)) (:var 0)) yes VAR 0:0 --> 1 (h a) applying substitution to (r (:var 0) (:var 1) (:var 2)) result: (r (h a) (:var 1) (:var 2)) Is (f (g (h a)) (g (h a))) an instance of (f (g (:var 0)) (:var 0)) no Are the arguments of (f (g (h a)) (g (h a))) an instance of the arguments of (f (g (:var 0)) (:var 0)) no Is (f (:var 1) (:var 0)) an instance of (f (:var 0) (:var 1)) yes VAR 0:0 --> 1 (:var 1) VAR 1:0 --> 1 (:var 0) Are the arguments of (f (:var 1) (:var 0)) an instance of the arguments of (f (:var 0) (:var 1)) yes VAR 0:0 --> 1 (:var 1) VAR 1:0 --> 1 (:var 0) applying substitution to (r (:var 0) (:var 1) (:var 2)) result: (r (:var 1) (:var 0) (:var 2)) Is (f (:var 1) (g (:var 0))) an instance of (f (:var 0) (:var 1)) yes VAR 0:0 --> 1 (:var 1) VAR 1:0 --> 1 (g (:var 0)) Are the arguments of (f (:var 1) (g (:var 0))) an instance of the arguments of (f (:var 0) (:var 1)) yes VAR 0:0 --> 1 (:var 1) VAR 1:0 --> 1 (g (:var 0)) applying substitution to (r (:var 0) (:var 1) (:var 2)) result: (r (:var 1) (g (:var 0)) (:var 2)) Is (f (:var 0) (:var 1)) an instance of (f (:var 1) (g (:var 0))) no Are the arguments of (f (:var 0) (:var 1)) an instance of the arguments of (f (:var 1) (g (:var 0))) no PASS (test matcher :time 0.00 :before-memory 34.09 :after-memory 34.09) PASS (test object_allocator :time 0.04 :before-memory 34.09 :after-memory 34.05) PASS (test object_allocator :time 0.03 :before-memory 34.05 :after-memory 34.05) 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: -680660223306131613213192544273440676520871583498294228139387512309735532799950445324041469626190465441873942099292324797223354121280953753707098271948956721434351271580512930905301134730018471342090536788633289149032525296855471377001657699 b: -682557700684732548039342024200773710588218949141218691154067161618641287360292871269919141306159355240958245937920167668186351369649972673099532187512209437468431267605694674882711764950369211038954071869719474517452995310173227648159470325863 g1: 49649644626651300092884651060987641470500280086452636531104852243948991 g2: 49649644626651300092884651060987641470500280086452636531104852243948991 a: -17499323010985042085586327428218208334653136509030093235459394874357720029340406973303034916677463064839671236886669789973081805241918719992478269377544872961218258328273917686943637947258902687572152463660930184575 b: 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-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 minint: -9223372036854775808 4294967295 4294967295 1002034040050606089383838288182 1002034040050606089383838288182 *-2 = -2004068080101212178767676576364 v2: 4294967296 v2*v2: 18446744073709551616 v2: 4294967296 v2*v2: 18446744073709551616 v2: 115792089237316195423570985008687907853269984665640564039457584007913129639936 PASS (test mpz :time 0.01 :before-memory 34.05 :after-memory 34.04) 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: 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350021883380224366321931367051060431375191383903610218473359344293885388540872792104910011180304701927661898656344741364420891134925398190567655620292875011035702690198935198163726017072463486921710374237619045606808540 b: 2547629477411764707825972907524598995450413993804572992238817507768658009648952157997333478225952101901844386363202606386245868652593835896909133579413306919457640520440056703636158049759355804441702269847481504839624224859814639194427 g1: 76939809670070624964200222972832860119146555685603681739203 g2: 76939809670070624964200222972832860119146555685603681739203 a: -11102393879522332305322935358532975469686039191286490138519906896076900592320780468163302707700823833835931257274236864592007691731510452642967582221972614173749803716403885347525559715387969150375280179040059737317580659785817 b: -1043740706976869061884649448304222650503691599034715270053891465607084808815729310217351780083972731915134034205286159680296116311257173022104265831214212039045277614849981036379867176227791251155717425 g1: 976289115482152556747129243535401774555893303868134014802703256676827 g2: 976289115482152556747129243535401774555893303868134014802703256676827 a: 13852123656861049281679363214427261363175417281587015903388414119257831542184638817766268234004117573825295170919363909739493559254578634334199335821146168853734557002383574302702671253694805286864301053 b: -442709750887284655643710457633381352899073577163068237662311997293507333529139864286535537873091613711378309352615100440893320903250439743221975149695503625996790791307630724708888621467212001 g1: 84126292057561113420228333499833513184261473 g2: 84126292057561113420228333499833513184261473 a: 56130766200091561231639530195126982152289790339116026881715176156523624759505639977860369308580103599956838002210531701335760779984049728091048430114883496788661619217631647959768028561855159 b: 4293102566033835666678341568639877763733419412994110126058934413943587068510958695839139949531948971230823873914914185136651942704666024156093362301095060376414086159201490622500553916598 g1: 66016093152659563378717581322195729170962341980324337 g2: 66016093152659563378717581322195729170962341980324337 a: -1066800597808289367287035492749207874898621005676390139536936469751504280410549559232712343519195034044186931713938328927391346141256981751544573324315405824399380240940002935766815512671140588493946745968721887681331588321786175 b: 186224306551007698614854093119750195535422794513018516695911221570835253684374667429635509168461766227576270899598597200950526117956158618379072560784303380614281926496515363794870812779522475 g1: 6407582542729759375080585217166133829346960047580145297220610675 g2: 6407582542729759375080585217166133829346960047580145297220610675 a: -11678131181277065734741488267155125510397921995473078585632429331109255436026588368079095704053554226375566007590838512519787547568603359867970006243883182343409297409637103701256803646282178965831675133617644823421583003616428 b: -29080515348253044427970990499797492939694019083907492553350351307527167261205053717742221067450475017528937387753372091084080852301840793858896802970797867793585001937539042063485825378709377594020155674092782 g1: 307910020074661436514999180146952600590348109419813282144206 g2: 307910020074661436514999180146952600590348109419813282144206 a: 11158472739734335414091675467978643902505122044098222371336281849523589185383132484005120677401580676428915540754402631261955439519257324639949247224573863166378899797288930170601413243186497629031705313019037258767 b: -7016742911202699576078078758914978585512730516163528945324077104681732537143142292400938943731057779904978846468824710434118301757825890410861192326000236310097033157635175 g1: 48005234880231946705246056533008645720356899 g2: 48005234880231946705246056533008645720356899 a: 319149120276871106014329577487187477063163922319310613616790578511304940004687575849270563680918695166467825430699927942071317844880980404011034196631372219324792472621562572615825075193831848412780682223592603364196093 b: 13863716569253763789735481237025577290976627577626554583547638730051505368069106261859985524204042147579559677964579255408322900224906908976048968804887725811378789660197282514579779583516114118 g1: 506862799841671832571569984136211399669911127802767514280786047 g2: 506862799841671832571569984136211399669911127802767514280786047 a: 582501466401407704789872729420445648562270479547732659126204411551036148191359574616501028197887893530565294980756301489320861847031800517036432531379727338935481554698696511572036490111903253621313344965718490093743944834433064411466216609313041100 b: 719593366966847045699954702777764648412894767196214911177841135874030462101891774784658295769557385150325254819275786293485116601352140048940185617679064770484532558810372324754641598256121083727570727834035854613 g1: 4855533277199519844114478070395658095217916948629 g2: 4855533277199519844114478070395658095217916948629 a: -142687477516960081239073371395691331585521861325214520088080996854913545015370168436323733393495307040266652324592382418635224670266006684310858705109145895864992552819021941009 b: -434964259209231136312085581101011518191944278300088595859038655041696269334091429947465940618113535247556613614352974196956354163607315883658091581593581477942642012419178586888168015512026252379138395 g1: 37438005552657035578801907790787871159057 g2: 37438005552657035578801907790787871159057 a: 261467864743684308553903295033211687771692653347776815320755414444449506628654972040896348456772404589590046222534520272986116268998050680913605351851591098566073015105715958706636470653710260842255448982847734185034309447892142269920558507597425 b: -565150709052193472473545205815264316650011343684045764188431027608424892550161963636641328480308592795742919089965283494132764061583304611262373426894248285252675 g1: 292526723727831019020524690620683547596034589275 g2: 292526723727831019020524690620683547596034589275 a: 1548387349257971702965887203227120488989717735995312369158702966824272160049629788462385679779279463899583294232772136859136717530213459084496450728828190418021951449544945122373 b: 57024167048676168279878453501151935992151088064569163239273246923660896880949720175452276875830861629429008303997267528288129882497521509557 g1: 5922694240080961513 g2: 5922694240080961513 a: -5217496022913290614924387739699000227402016318780850081893148817462597431894308248483196265557049233213912364840513087663394540816739388701377944244922131941462168270371411354103761190860619688205527700 b: 17321825197788411138127166208156235051159859391069906412417867991764781634144089408826593075781533977982623975469200081454471757265150389844383647710585945651792619896833105477384178921070925 g1: 14551892370651952659338572198953720426123810061840419775 g2: 14551892370651952659338572198953720426123810061840419775 a: -180024439817618271932606957439338924634276635069118748774200853179097305477972467748666829722451638228501735741620518584925920663221565819774828017273694325015318936309015394581621706439692566511922154779585629615489815 b: 4079142435376147430690198812660226235313759187423599392522315702686680752820404839272158732721680803451592768993961510176736632473353599562359203985410114039055533442512432717277306774634122393116081881 g1: 70305153885836728249502405227058016481606585818173 g2: 70305153885836728249502405227058016481606585818173 a: 2228838697307189640293464568483026105224010715799128794947895975209593346771942751481345600969689994789599543260466859339292612262513045371470698861734283112099224203686009045774748159173289644419871147233804365991789523310 b: 2088838880676818026035839601280200018672998644077708397451755336994745074972320095240255550530889811458638141887049346480138280812298980421218959366836562689394284060354128265196433085996021632684422717771366110538230976191637334767300361089332361 g1: 382657812652122775217649245019871927548539693501849137555799991787371 g2: 382657812652122775217649245019871927548539693501849137555799991787371 a: -57403560897700937446954915819902193503768255939468754404822142043389268300477868653392022445163186739960899132558221134167099213066588097427996490963446898889688595073945236299548986051099442776090113047206530139026852316775365792662213 b: -2614794999317912100089260261956868220621495444146394469060770243301754981302968659793770983730637267961783101894364080377079679403223633212981995334002445966251634510350476971715123241665381686512278029365071594250869011475 g1: 34928962046301125796960755670238651948565870141118668165218320523 g2: 34928962046301125796960755670238651948565870141118668165218320523 a: -314831484276718510630849882504086110727434512405101221327419980566251219157695229014847117218213345786474023918911008366646488402785066980214257084431974420275967856245339388501793685657176978917421122577272982967 b: -113691346892015967288759341450248832162566575800129814123078578786907916527777790931894614578999489844995619363789081081488132799864816992942926091508422294117639060532499736553135481279580 g1: 5502547703242059456375271104061538926811871 g2: 5502547703242059456375271104061538926811871 a: -24837447229152666588520670212279727374785356822571090715343870445598399165640619971163037744976303607980812848683150360628740691441653613886953260170460083297443630838115234045906242288284373788446438644689605386212014975 b: -3257967667994426904060729073214194016245723104953369436928297088169832578258060435745802875547111563426270221550213199115818136810447738265237851651716377043769547937155334391316893568731437946136817398862 g1: 518362272711031747986289784967780938773552465635697646374803614953 g2: 518362272711031747986289784967780938773552465635697646374803614953 a: 20579739456740126339184943195116776895073589467386221396655261409089839922809875247051394055658425247744147068068488803591387139282446490426370519731928472696211689135096930650345601468394523622055711043391301003734684 b: 83769930967645686881862574031436275330559820893262814170531888989478213717678504230867238488851412504589878501831783136958720697567167613873290340986410817970855743431975568543835764032272009652336685141176457346592373508776809012041890407575 g1: 486506094370913957346732082486321619269913996886836500651591 g2: 486506094370913957346732082486321619269913996886836500651591 a: 424858397716146508675736839797519331646693427139163587228580558210255607444424336944949112988511464132281695988680321916601592718189121982478484776001816813419051611847751467406132869347177994880464062649949200026554129806542 b: -742257156013834378090816596125089113683953412506319335942100027096465114434650704846536430505105042744040745970713602444922972412978428675645115041981491169118727048716937443914414094181 g1: 671633936528847255861959308078713894701606428741479281 g2: 671633936528847255861959308078713894701606428741479281 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 minint: -9223372036854775808 4294967295 4294967295 1002034040050606089383838288182 1002034040050606089383838288182 *-2 = -2004068080101212178767676576364 v2: 4294967296 v2*v2: 18446744073709551616 v2: 4294967296 v2*v2: 18446744073709551616 v2: 115792089237316195423570985008687907853269984665640564039457584007913129639936 PASS (test mpz :time 0.01 :before-memory 34.04 :after-memory 34.04) 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 34.04 :after-memory 34.04) 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 34.04 :after-memory 34.04) PASS (test mpf :time 0.00 :before-memory 34.04 :after-memory 34.04) PASS (test mpf :time 0.00 :before-memory 34.04 :after-memory 34.04) **************************************************************************************************** 1 3 2 **************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************** **************************************************************************************************** **************************************************************************************************** **************************************************************************************************** **************************************************************************************************** **************************************************************************************************** PASS (test total_order :time 0.44 :before-memory 34.04 :after-memory 34.04) **************************************************************************************************** 1 3 2 **************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************** **************************************************************************************************** **************************************************************************************************** **************************************************************************************************** **************************************************************************************************** **************************************************************************************************** PASS (test total_order :time 0.44 :before-memory 34.04 :after-memory 34.04) table with signature (2,4,8,4): (1,3,7,2) (1,3,7,3) 1 3 7 2 1 3 7 3 table with signature (2,4,8,4,2,4,8,4): (0,3,7,1,1,3,7,3) (1,3,7,3,1,3,7,3) table with signature (2,4,8,4,2,4,8,4): (0,3,7,1,1,3,7,2) (1,3,7,3,1,3,7,2) (0,3,7,1,1,3,7,3) (1,3,7,3,1,3,7,3) PASS (test dl_table :time 0.09 :before-memory 34.04 :after-memory 34.08) table with signature (2,4,8,4): (1,3,7,2) (1,3,7,3) 1 3 7 2 1 3 7 3 table with signature (2,4,8,4,2,4,8,4): (0,3,7,1,1,3,7,3) (1,3,7,3,1,3,7,3) table with signature (2,4,8,4,2,4,8,4): (0,3,7,1,1,3,7,2) (1,3,7,3,1,3,7,2) (0,3,7,1,1,3,7,3) (1,3,7,3,1,3,7,3) PASS (test dl_table :time 0.09 :before-memory 34.08 :after-memory 34.08) PASS (test dl_context :time 0.00 :before-memory 34.08 :after-memory 34.08) PASS (test dl_context :time 0.00 :before-memory 34.08 :after-memory 34.08) PASS (test dl_util :time 0.00 :before-memory 34.08 :after-memory 34.08) PASS (test dl_util :time 0.00 :before-memory 34.08 :after-memory 34.08) PASS (test dl_product_relation :time 0.00 :before-memory 34.08 :after-memory 34.08) PASS (test dl_product_relation :time 0.00 :before-memory 34.08 :after-memory 34.08) empty 0 in (-oo, oo) 1 in (-oo, oo) 2 in (-oo, oo) 3 in (-oo, oo) 0 in (-oo, 0] 1 in (-oo, oo) 2 in (-oo, oo) 3 in (-oo, oo) 0 in (-oo, 0] 1 = 6 2 = 7 3 in (-oo, oo) 4 in (-oo, 0] 5 in (-oo, oo) 6 in (-oo, oo) 7 in (-oo, oo) 0 in (-oo, 0] 1 in (-oo, oo) 2 in [4, 4] 3 in (-oo, oo) 0 in (-oo, 0] 1 = 2 2 in [4, 4] 3 in (-oo, oo) Orig 0 in (-oo, 0] 1 = 2 2 in [4, 4] 3 in (-oo, oo) renamed 2 |-> 3 |-> 2 0 in (-oo, 0] 1 = 3 2 in (-oo, oo) 3 in [4, 4] empty 0 in (-oo, 0] 1 = 4 2 in (-oo, 0] 3 in (-oo, oo) 4 in (-oo, oo) 5 in (-oo, oo) bound relation empty: empty full: #0 < oo #1 < oo #2 < oo #3 < oo #0 < oo 1 = 6 2 = 7 #3 < oo #4 < oo #5 < oo #6 < oo #7 < oo no-op still full #0 < oo #1 < oo #2 < oo #3 < oo x2 < x3 #0 < oo #1 < oo #2 < 3 #3 < oo id #0 < oo 1 = 2 #2 < 3 #3 < oo Orig #0 < oo 1 = 2 #2 < 3 #3 < oo renamed 0 2 3 #0 < oo 1 = 3 #2 < oo #3 < 0 #0 < oo 1 = 4 #2 < oo #3 < oo #4 < oo #5 < oo b2: #0 < oo #1 < oo #2 < oo #3 < oo b2: #0 < oo #1 < oo 2 = 3 #3 < oo b2: #0 < 3 #1 < oo 2 = 3 #3 < oo b1: #0 < 3 1 = 3 #2 < oo #3 < 2 b2: #0 < 3 #1 < oo 2 = 3 #3 < oo b1 u b2: #0 < 3 #1 < oo #2 < oo #3 < oo b1: #0 < 3 1 = 3 2 = 3 #3 < oo b2: #0 < 2 3 1 = 3 #2 < oo #3 < oo b1 u b2: #0 < 1 2 #1 < oo #2 < oo 3 = 1 PASS (test dl_relation :time 0.01 :before-memory 34.08 :after-memory 34.09) empty 0 in (-oo, oo) 1 in (-oo, oo) 2 in (-oo, oo) 3 in (-oo, oo) 0 in (-oo, 0] 1 in (-oo, oo) 2 in (-oo, oo) 3 in (-oo, oo) 0 in (-oo, 0] 1 = 6 2 = 7 3 in (-oo, oo) 4 in (-oo, 0] 5 in (-oo, oo) 6 in (-oo, oo) 7 in (-oo, oo) 0 in (-oo, 0] 1 in (-oo, oo) 2 in [4, 4] 3 in (-oo, oo) 0 in (-oo, 0] 1 = 2 2 in [4, 4] 3 in (-oo, oo) Orig 0 in (-oo, 0] 1 = 2 2 in [4, 4] 3 in (-oo, oo) renamed 2 |-> 3 |-> 2 0 in (-oo, 0] 1 = 3 2 in (-oo, oo) 3 in [4, 4] empty 0 in (-oo, 0] 1 = 4 2 in (-oo, 0] 3 in (-oo, oo) 4 in (-oo, oo) 5 in (-oo, oo) bound relation empty: empty full: #0 < oo #1 < oo #2 < oo #3 < oo #0 < oo 1 = 6 2 = 7 #3 < oo #4 < oo #5 < oo #6 < oo #7 < oo no-op still full #0 < oo #1 < oo #2 < oo #3 < oo x2 < x3 #0 < oo #1 < oo #2 < 3 #3 < oo id #0 < oo 1 = 2 #2 < 3 #3 < oo Orig #0 < oo 1 = 2 #2 < 3 #3 < oo renamed 0 2 3 #0 < oo 1 = 3 #2 < oo #3 < 0 #0 < oo 1 = 4 #2 < oo #3 < oo #4 < oo #5 < oo b2: #0 < oo #1 < oo #2 < oo #3 < oo b2: #0 < oo #1 < oo 2 = 3 #3 < oo b2: #0 < 3 #1 < oo 2 = 3 #3 < oo b1: #0 < 3 1 = 3 #2 < oo #3 < 2 b2: #0 < 3 #1 < oo 2 = 3 #3 < oo b1 u b2: #0 < 3 #1 < oo #2 < oo #3 < oo b1: #0 < 3 1 = 3 2 = 3 #3 < oo b2: #0 < 2 3 1 = 3 #2 < oo #3 < oo b1 u b2: #0 < 1 2 #1 < oo #2 < oo 3 = 1 PASS (test dl_relation :time 0.01 :before-memory 34.09 :after-memory 34.09) max. heap size: 86.4839 Mbytes max. heap size: 86.4839 Mbytes PASS (test parray :time 0.04 :before-memory 34.09 :after-memory 34.12) max. heap size: 86.4839 Mbytes max. heap size: 86.4839 Mbytes PASS (test parray :time 0.04 :before-memory 34.12 :after-memory 34.12) PASS (test stack :time 0.18 :before-memory 34.12 :after-memory 34.05) PASS (test stack :time 0.18 :before-memory 34.05 :after-memory 34.05) [\"hello\"\"world\" ] [\"hello\" world\"] [\"hello\" world\"] [\"hello\" world\"] [\"hello\" \"world\" ] [] [ ] [] [ ] [] [] [] [] PASS (test escaped :time 0.00 :before-memory 34.05 :after-memory 34.05) [\"hello\"\"world\" ] [\"hello\" world\"] [\"hello\" world\"] [\"hello\" world\"] [\"hello\" \"world\" ] [] [ ] [] [ ] [] [] [] [] PASS (test escaped :time 0.00 :before-memory 34.05 :after-memory 34.05) PASS (test buffer :time 0.00 :before-memory 34.05 :after-memory 34.05) PASS (test buffer :time 0.00 :before-memory 34.05 :after-memory 34.05) 10 20 30 12 10 12 10 13 14 12 10 13 18 10 14 16 13 18 14 16 13 size: 8 8 size: 4 4 size: 678 678 PASS (test chashtable :time 0.03 :before-memory 34.05 :after-memory 34.05) 10 20 30 12 10 12 10 13 14 12 10 13 18 10 14 16 13 18 14 16 13 size: 5 5 size: 8 8 size: 680 680 PASS (test chashtable :time 0.03 :before-memory 34.05 :after-memory 34.05) updates 15 neweqs 0 qhead: 0 (declare-fun f (Int) Int): un 11 #7 := x [r 9] [p 11] #8 := y [r 9] [p 12] #9 := z [p 11] #10 := u [r 9] #5 := 0 #6 := 1 #11 := (f x) [r 5] #12 := (f y) [r 6] updates 16 neweqs 0 qhead: 0 (declare-fun f (Int) Int): un 11 #7 := x [r 9] [p 11] #8 := y [r 9] [p 12] #9 := z [p 11] #10 := u [r 9] #5 := 0 #6 := 1 #11 := (f x) [r 5] #12 := (f y) [r 6] conflict: 1 conflict: 2 conflict: 5 updates 7 neweqs 0 qhead: 0 (declare-fun f (S) S): un 6 7 8 #5 := a [p 6] #6 := (f a) [p 7] #7 := (f #6) [p 8] #8 := (f #7) updates 9 neweqs 0 qhead: 0 (declare-fun f (S) S): un 7 8 #5 := a [r 7] [p 6] #6 := (f a) [p 7] #7 := (f #6) [p 8] #8 := (f #7) [r 7] updates 10 neweqs 0 qhead: 0 (declare-fun f (S) S): un 8 #5 := a [r 7] [p 6] #6 := (f a) [r 7] [p 7] #7 := (f #6) [p 8] #8 := (f #7) [r 7] merge merged 0 propagated 0.002 PASS (test egraph :time 0.02 :before-memory 34.05 :after-memory 34.07) updates 15 neweqs 0 qhead: 0 (declare-fun f (Int) Int): un 11 #7 := x [r 9] [p 11] #8 := y [r 9] [p 12] #9 := z [p 11] #10 := u [r 9] #5 := 0 #6 := 1 #11 := (f x) [r 5] #12 := (f y) [r 6] updates 16 neweqs 0 qhead: 0 (declare-fun f (Int) Int): un 11 #7 := x [r 9] [p 11] #8 := y [r 9] [p 12] #9 := z [p 11] #10 := u [r 9] #5 := 0 #6 := 1 #11 := (f x) [r 5] #12 := (f y) [r 6] conflict: 1 conflict: 2 conflict: 5 updates 7 neweqs 0 qhead: 0 (declare-fun f (S) S): un 6 7 8 #5 := a [p 6] #6 := (f a) [p 7] #7 := (f #6) [p 8] #8 := (f #7) updates 9 neweqs 0 qhead: 0 (declare-fun f (S) S): un 7 8 #5 := a [r 7] [p 6] #6 := (f a) [p 7] #7 := (f #6) [p 8] #8 := (f #7) [r 7] updates 10 neweqs 0 qhead: 0 (declare-fun f (S) S): un 8 #5 := a [r 7] [p 6] #6 := (f a) [r 7] [p 7] #7 := (f #6) [p 8] #8 := (f #7) [r 7] merge merged 0 propagated 0.002 PASS (test egraph :time 0.02 :before-memory 34.07 :after-memory 34.08) testing exception Format 12 twelve PASS (test ex :time 0.00 :before-memory 34.08 :after-memory 34.08) testing exception Format 12 twelve PASS (test ex :time 0.00 :before-memory 34.08 :after-memory 34.08) PASS (test nlarith_util :time 0.00 :before-memory 34.08 :after-memory 34.10) PASS (test nlarith_util :time 0.00 :before-memory 34.10 :after-memory 34.10) Using Z3 Version 4.13 (build 0, revision 0) result 1 model : mySet -> (store (store ((as const (Array Int Bool)) false) 42 true) 43 true) PASS (test api_bug :time 0.02 :before-memory 34.10 :after-memory 34.14) Using Z3 Version 4.13 (build 0, revision 0) result 1 model : mySet -> (store (store ((as const (Array Int Bool)) false) 42 true) 43 true) PASS (test api_bug :time 0.01 :before-memory 34.14 :after-memory 34.14) 0.0 (<= (+ (* (/ 13.0 10.0) x y) (* (/ 23.0 10.0) y y) (* (- 2.0) x)) (/ 11.0 10.0)) (= (+ (* 3.0 x x) (* (- 4.0) y)) (- 7.0)) PASS (test arith_rewriter :time 0.00 :before-memory 34.14 :after-memory 34.12) 0.0 (<= (+ (* (/ 13.0 10.0) x y) (* (/ 23.0 10.0) y y) (* (- 2.0) x)) (/ 11.0 10.0)) (= (+ (* 3.0 x x) (* (- 4.0) y)) (- 7.0)) PASS (test arith_rewriter :time 0.00 :before-memory 34.12 :after-memory 34.12) PASS (test check_assumptions :time 0.00 :before-memory 34.12 :after-memory 34.12) PASS (test check_assumptions :time 0.00 :before-memory 34.12 :after-memory 34.12) PASS (test smt_context :time 0.00 :before-memory 34.12 :after-memory 34.11) PASS (test smt_context :time 0.00 :before-memory 34.11 :after-memory 34.11) b -> 63 a -> 47 b -> 2 a -> 0 c -> 47 l_false PASS (test theory_dl :time 0.01 :before-memory 34.11 :after-memory 34.07) b -> 63 a -> 47 b -> 2 a -> 0 c -> 47 l_false PASS (test theory_dl :time 0.01 :before-memory 34.07 :after-memory 34.07) 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 0 #1 := true 1 #5 := a1 #7 := (select a1 true) #2 := false #26 := 1 #27 := 1.0 #28 := 0 #29 := 0.0 #30 := as-array[k!0] #6 := a2 #31 := (= a2 as-array[k!0]) asserted formulas: #7 #31 current assignment: 1 #7: (select a1 true) equivalence classes: 8 #1: true #2: false #26: 1 #27: 1.0 #28: 0 #29: 0.0 #5: a1 #7: (select a1 true) expression -> bool_var: (#1 -> 0) (#7 -> 1) relevant exprs: #7 #1 #5 Theory arithmetic: number of constraints = 8 (0) j0 >= 1 (1) j0 <= 1 (2) j1 >= 1 (3) j1 <= 1 (4) j2 >= 0 (5) j2 <= 0 (6) j3 >= 0 (7) j3 <= 0 inf columns: none [0] := (1, 0) [(1, 0), (1, 0)] [1] := (1, 0) [(1, 0), (1, 0)] [2] := (0, 0) [(0, 0), (0, 0)] [3] := (0, 0) [(0, 0), (0, 0)] irr: v0 j0 = 1, int := 26: 1 irr: v1 j1 = 1 := 27: 1.0 irr: v2 j2 = 0, int := 28: 0 irr: v3 j3 = 0 := 29: 0.0 Theory array: v0 #5 -> #5 is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {#7 #7} maps: {} p_parent_maps: {} p_const: {} v1 #7 -> #7 is_array: 0 is_select: 1 upward: 0 stores: {} p_stores: {} p_selects: {} maps: {} p_parent_maps: {} p_const: {} recfun disabled guards: enabled guards: decl2enodes: id 127 -> #7 hot bool vars: -------------------------- Logical context: scope-lvl: 0 base-lvl: 0 search-lvl: 0 inconsistent(): 0 m_asserted_formulas.inconsistent(): 0 0 #1 := true 1 #5 := a1 #7 := (select a1 true) 2 #30 := as-array[k!0] #6 := a2 #31 := (= a2 as-array[k!0]) #2 := false #26 := 1 #27 := 1.0 #28 := 0 #29 := 0.0 asserted formulas: #7 #31 current assignment: 1 #7: (select a1 true) 2 #31: (= a2 as-array[k!0]) equivalence classes: 10 #1: true #2: false #26: 1 #27: 1.0 #28: 0 #29: 0.0 #5: a1 #7: (select a1 true) #30: as-array[k!0] #6: a2 #31: (= a2 as-array[k!0]) expression -> bool_var: (#1 -> 0) (#7 -> 1) (#31 -> 2) relevant exprs: #7 #1 #5 #31 #30 #6 Theory arithmetic: number of constraints = 8 (0) j0 >= 1 (1) j0 <= 1 (2) j1 >= 1 (3) j1 <= 1 (4) j2 >= 0 (5) j2 <= 0 (6) j3 >= 0 (7) j3 <= 0 inf columns: none [0] := (1, 0) [(1, 0), (1, 0)] [1] := (1, 0) [(1, 0), (1, 0)] [2] := (0, 0) [(0, 0), (0, 0)] [3] := (0, 0) [(0, 0), (0, 0)] irr: v0 j0, int := 26: 1 irr: v1 j1 := 27: 1.0 irr: v2 j2, int := 28: 0 irr: v3 j3 := 29: 0.0 Theory array: v0 #5 -> #5 is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {#7 #7} maps: {} p_parent_maps: {} p_const: {} v1 #7 -> #7 is_array: 0 is_select: 1 upward: 0 stores: {} p_stores: {} p_selects: {} maps: {} p_parent_maps: {} p_const: {} v2 #6 -> #6 is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {} maps: {} p_parent_maps: {} p_const: {} v3 #30 -> #6 is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {} maps: {} p_parent_maps: {} p_const: {} recfun disabled guards: enabled guards: decl2enodes: id 127 -> #7 hot bool vars: -------------------------- unknown PASS (test model_retrieval :time 0.00 :before-memory 34.07 :after-memory 34.11) 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 0 #1 := true 1 #5 := a1 #7 := (select a1 true) #2 := false #26 := 1 #27 := 1.0 #28 := 0 #29 := 0.0 #30 := as-array[k!0] #6 := a2 #31 := (= a2 as-array[k!0]) asserted formulas: #7 #31 current assignment: 1 #7: (select a1 true) equivalence classes: 8 #1: true #2: false #26: 1 #27: 1.0 #28: 0 #29: 0.0 #5: a1 #7: (select a1 true) expression -> bool_var: (#1 -> 0) (#7 -> 1) relevant exprs: #7 #1 #5 Theory arithmetic: number of constraints = 8 (0) j0 >= 1 (1) j0 <= 1 (2) j1 >= 1 (3) j1 <= 1 (4) j2 >= 0 (5) j2 <= 0 (6) j3 >= 0 (7) j3 <= 0 inf columns: none [0] := (1, 0) [(1, 0), (1, 0)] [1] := (1, 0) [(1, 0), (1, 0)] [2] := (0, 0) [(0, 0), (0, 0)] [3] := (0, 0) [(0, 0), (0, 0)] irr: v0 j0 = 1, int := 26: 1 irr: v1 j1 = 1 := 27: 1.0 irr: v2 j2 = 0, int := 28: 0 irr: v3 j3 = 0 := 29: 0.0 Theory array: v0 #5 -> #5 is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {#7 #7} maps: {} p_parent_maps: {} p_const: {} v1 #7 -> #7 is_array: 0 is_select: 1 upward: 0 stores: {} p_stores: {} p_selects: {} maps: {} p_parent_maps: {} p_const: {} recfun disabled guards: enabled guards: decl2enodes: id 127 -> #7 hot bool vars: -------------------------- Logical context: scope-lvl: 0 base-lvl: 0 search-lvl: 0 inconsistent(): 0 m_asserted_formulas.inconsistent(): 0 0 #1 := true 1 #5 := a1 #7 := (select a1 true) 2 #30 := as-array[k!0] #6 := a2 #31 := (= a2 as-array[k!0]) #2 := false #26 := 1 #27 := 1.0 #28 := 0 #29 := 0.0 asserted formulas: #7 #31 current assignment: 1 #7: (select a1 true) 2 #31: (= a2 as-array[k!0]) equivalence classes: 10 #1: true #2: false #26: 1 #27: 1.0 #28: 0 #29: 0.0 #5: a1 #7: (select a1 true) #30: as-array[k!0] #6: a2 #31: (= a2 as-array[k!0]) expression -> bool_var: (#1 -> 0) (#7 -> 1) (#31 -> 2) relevant exprs: #7 #1 #5 #31 #30 #6 Theory arithmetic: number of constraints = 8 (0) j0 >= 1 (1) j0 <= 1 (2) j1 >= 1 (3) j1 <= 1 (4) j2 >= 0 (5) j2 <= 0 (6) j3 >= 0 (7) j3 <= 0 inf columns: none [0] := (1, 0) [(1, 0), (1, 0)] [1] := (1, 0) [(1, 0), (1, 0)] [2] := (0, 0) [(0, 0), (0, 0)] [3] := (0, 0) [(0, 0), (0, 0)] irr: v0 j0, int := 26: 1 irr: v1 j1 := 27: 1.0 irr: v2 j2, int := 28: 0 irr: v3 j3 := 29: 0.0 Theory array: v0 #5 -> #5 is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {#7 #7} maps: {} p_parent_maps: {} p_const: {} v1 #7 -> #7 is_array: 0 is_select: 1 upward: 0 stores: {} p_stores: {} p_selects: {} maps: {} p_parent_maps: {} p_const: {} v2 #6 -> #6 is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {} maps: {} p_parent_maps: {} p_const: {} v3 #30 -> #6 is_array: 1 is_select: 0 upward: 0 stores: {} p_stores: {} p_selects: {} maps: {} p_parent_maps: {} p_const: {} recfun disabled guards: enabled guards: decl2enodes: id 127 -> #7 hot bool vars: -------------------------- unknown PASS (test model_retrieval :time 0.00 :before-memory 34.11 :after-memory 34.11) 4*v1 + 3*v2 + 5*v3 + 8 / 7 2*v3 + 2*v4 + 5 / 3 4*v1 + 7*v3 + 2*v4 + 13 / 7 PASS (test model_based_opt :time 0.00 :before-memory 34.11 :after-memory 34.11) 4*v1 + 3*v2 + 5*v3 + 8 / 7 2*v3 + 2*v4 + 5 / 3 4*v1 + 7*v3 + 2*v4 + 13 / 7 PASS (test model_based_opt :time 0.00 :before-memory 34.11 :after-memory 34.11) (<= 0.0 (* 2.0 z z)) -> (or (= 0.0 (- 2.0)) (= 0.0 z) (< (- 2.0) 0.0)) PASS (test factor_rewriter :time 0.00 :before-memory 34.11 :after-memory 34.10) (<= 0.0 (* 2.0 z z)) -> (or (= 0.0 (- 2.0)) (= 0.0 z) (< (- 2.0) 0.0)) PASS (test factor_rewriter :time 0.00 :before-memory 34.10 :after-memory 34.10) spec: (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))) done parsing spec1: benchmark->string ; test (set-info :status unknown) (declare-datatypes ((list 1)) ((par (k!00)((nil) (cons (car k!00) (cdr (list k!00))))))) (declare-fun f ((list Int)) Bool) (declare-fun l () (list Int)) (declare-fun x () Int) (assert (let (($x8 (f (cons x l)))) (and $x8))) (check-sat) attempting to parse spec1... parse successful, converting ast->string spec2: string->ast->string (ast-vector (and (f (cons x l)))) done printing spec: (declare-const x Int) (declare-const a (Array Int Int)) (declare-const b (Array (Array Int Int) Bool)) (assert (select b a)) (assert (= b ((as const (Array (Array Int Int) Bool)) true))) (assert (= b (store b a true))) (declare-const b1 (Array Bool Bool)) (declare-const b2 (Array Bool Bool)) (assert (= ((as const (Array Bool Bool)) false) ((_ map and) b1 b2))) done parsing spec1: benchmark->string ; test (set-info :status unknown) (declare-fun b2 () (Array Bool Bool)) (declare-fun b1 () (Array Bool Bool)) (declare-fun a () (Array Int Int)) (declare-fun b () (Array (Array Int Int) Bool)) (assert (let (($x16 (= ((as const (Array Bool Bool)) false) ((_ map and ) b1 b2)))) (let (($x11 (= b (store b a true)))) (let (($x9 (= b ((as const (Array (Array Int Int) Bool)) true)))) (let (($x7 (select b a))) (and $x7 $x9 $x11 $x16)))))) (check-sat) attempting to parse spec1... parse successful, converting ast->string spec2: string->ast->string (ast-vector (and (select b a) (= b ((as const (Array (Array Int Int) Bool)) true)) (= b (store b a true)) (= ((as const (Array Bool Bool)) false) ((_ map and) b1 b2)))) done printing spec: (declare-datatypes () ((list (nil) (cons (car tree) (cdr list))) (tree (leaf) (node (n list))))) (declare-const x tree) (declare-const l list) (declare-fun f (list) Bool) (assert (f (cons x l))) done parsing spec1: benchmark->string ; test (set-info :status unknown) (declare-datatypes ((tree 0) (list 0)) (((leaf) (node (n list))) ((nil) (cons (car tree) (cdr list))))) (declare-fun f (list) Bool) (declare-fun l () list) (declare-fun x () tree) (assert (let (($x8 (f (cons x l)))) (and $x8))) (check-sat) attempting to parse spec1... parse successful, converting ast->string spec2: string->ast->string (ast-vector (and (f (cons x l)))) done printing spec: (declare-const x Real) (declare-const y Int) (assert (= x 0.0)) (assert (= y 6)) (assert (> (/ x 1.4) (to_real y))) done parsing spec1: benchmark->string ; test (set-info :status unknown) (declare-fun y () Int) (declare-fun x () Real) (assert (let (($x14 (> (/ x (/ 7.0 5.0)) (to_real y)))) (let (($x10 (= y 6))) (let (($x7 (= x 0.0))) (and $x7 $x10 $x14))))) (check-sat) attempting to parse spec1... parse successful, converting ast->string spec2: string->ast->string (ast-vector (and (= x 0.0) (= y 6) (> (/ x (/ 7.0 5.0)) (to_real y)))) done printing spec: (declare-const x (_ BitVec 4)) (declare-const y (_ BitVec 4)) (assert (bvule x (bvmul y (concat ((_ extract 2 0) x) ((_ extract 3 3) #xf0))))) done parsing spec1: benchmark->string ; test (set-info :status unknown) (declare-fun x () (_ BitVec 4)) (declare-fun y () (_ BitVec 4)) (assert (let (($x12 (bvule x (bvmul y (concat ((_ extract 2 0) x) ((_ extract 3 3) (_ bv240 8))))))) (and $x12))) (check-sat) attempting to parse spec1... parse successful, converting ast->string spec2: string->ast->string (ast-vector (let ((a!1 (bvule x (bvmul y (concat ((_ extract 2 0) x) ((_ extract 3 3) #xf0)))))) (and a!1))) done printing spec: (assert (= "abc" "abc")) done parsing spec1: benchmark->string ; test (set-info :status unknown) (assert (let (($x6 (= "abc" "abc"))) (and $x6))) (check-sat) attempting to parse spec1... parse successful, converting ast->string spec2: string->ast->string (ast-vector (and (= "abc" "abc"))) done printing testing Z3_eval_smtlib2_string spec: (push) (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))) (check-sat) (pop) response: sat successful call after successful call spec: (push) (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))) (check-sat) (pop) response: sat failing call after successful call spec: (push) (declare-const a@ (Array Int Int)) (declare-const b (Array (Array Int Int) Bool)) (assert (select b a)) (check-sat) (pop) failing call after failing call spec: (push) (declare-const a (Array Int Int)) (declare-const b# (Array (Array Int Int) Bool)) (assert (select b a)) (check-sat) (pop) successful call after failing call spec: (push) (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))) (check-sat) (pop) response: sat done evaluating testing Z3_eval_smtlib2_string spec: (declare-const |a| Bool) (assert |a|) (check-sat) done parsing spec: (declare-const |a\| Bool) (assert |a\|) (check-sat) done parsing spec: (declare-const |a\|| Bool) (assert |a\||) (check-sat) done parsing spec: (declare-const |a\\| Bool) (assert |a\\|) (check-sat) done parsing spec: (declare-const |a\\|| Bool) (assert |a\\||) (check-sat) done parsing spec: (declare-const |a\a| Bool) (assert |a\a|) (check-sat) done parsing spec: (declare-const |a\a Bool) (assert |a\a) (check-sat) done parsing done evaluating PASS (test smt2print_parse :time 0.06 :before-memory 34.10 :after-memory 34.13) spec: (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))) done parsing spec1: benchmark->string ; test (set-info :status unknown) (declare-datatypes ((list 1)) ((par (k!00)((nil) (cons (car k!00) (cdr (list k!00))))))) (declare-fun f ((list Int)) Bool) (declare-fun l () (list Int)) (declare-fun x () Int) (assert (let (($x8 (f (cons x l)))) (and $x8))) (check-sat) attempting to parse spec1... parse successful, converting ast->string spec2: string->ast->string (ast-vector (and (f (cons x l)))) done printing spec: (declare-const x Int) (declare-const a (Array Int Int)) (declare-const b (Array (Array Int Int) Bool)) (assert (select b a)) (assert (= b ((as const (Array (Array Int Int) Bool)) true))) (assert (= b (store b a true))) (declare-const b1 (Array Bool Bool)) (declare-const b2 (Array Bool Bool)) (assert (= ((as const (Array Bool Bool)) false) ((_ map and) b1 b2))) done parsing spec1: benchmark->string ; test (set-info :status unknown) (declare-fun b2 () (Array Bool Bool)) (declare-fun b1 () (Array Bool Bool)) (declare-fun a () (Array Int Int)) (declare-fun b () (Array (Array Int Int) Bool)) (assert (let (($x16 (= ((as const (Array Bool Bool)) false) ((_ map and ) b1 b2)))) (let (($x11 (= b (store b a true)))) (let (($x9 (= b ((as const (Array (Array Int Int) Bool)) true)))) (let (($x7 (select b a))) (and $x7 $x9 $x11 $x16)))))) (check-sat) attempting to parse spec1... parse successful, converting ast->string spec2: string->ast->string (ast-vector (and (select b a) (= b ((as const (Array (Array Int Int) Bool)) true)) (= b (store b a true)) (= ((as const (Array Bool Bool)) false) ((_ map and) b1 b2)))) done printing spec: (declare-datatypes () ((list (nil) (cons (car tree) (cdr list))) (tree (leaf) (node (n list))))) (declare-const x tree) (declare-const l list) (declare-fun f (list) Bool) (assert (f (cons x l))) done parsing spec1: benchmark->string ; test (set-info :status unknown) (declare-datatypes ((tree 0) (list 0)) (((leaf) (node (n list))) ((nil) (cons (car tree) (cdr list))))) (declare-fun f (list) Bool) (declare-fun l () list) (declare-fun x () tree) (assert (let (($x8 (f (cons x l)))) (and $x8))) (check-sat) attempting to parse spec1... parse successful, converting ast->string spec2: string->ast->string (ast-vector (and (f (cons x l)))) done printing spec: (declare-const x Real) (declare-const y Int) (assert (= x 0.0)) (assert (= y 6)) (assert (> (/ x 1.4) (to_real y))) done parsing spec1: benchmark->string ; test (set-info :status unknown) (declare-fun y () Int) (declare-fun x () Real) (assert (let (($x14 (> (/ x (/ 7.0 5.0)) (to_real y)))) (let (($x10 (= y 6))) (let (($x7 (= x 0.0))) (and $x7 $x10 $x14))))) (check-sat) attempting to parse spec1... parse successful, converting ast->string spec2: string->ast->string (ast-vector (and (= x 0.0) (= y 6) (> (/ x (/ 7.0 5.0)) (to_real y)))) done printing spec: (declare-const x (_ BitVec 4)) (declare-const y (_ BitVec 4)) (assert (bvule x (bvmul y (concat ((_ extract 2 0) x) ((_ extract 3 3) #xf0))))) done parsing spec1: benchmark->string ; test (set-info :status unknown) (declare-fun x () (_ BitVec 4)) (declare-fun y () (_ BitVec 4)) (assert (let (($x12 (bvule x (bvmul y (concat ((_ extract 2 0) x) ((_ extract 3 3) (_ bv240 8))))))) (and $x12))) (check-sat) attempting to parse spec1... parse successful, converting ast->string spec2: string->ast->string (ast-vector (let ((a!1 (bvule x (bvmul y (concat ((_ extract 2 0) x) ((_ extract 3 3) #xf0)))))) (and a!1))) done printing spec: (assert (= "abc" "abc")) done parsing spec1: benchmark->string ; test (set-info :status unknown) (assert (let (($x6 (= "abc" "abc"))) (and $x6))) (check-sat) attempting to parse spec1... parse successful, converting ast->string spec2: string->ast->string (ast-vector (and (= "abc" "abc"))) done printing testing Z3_eval_smtlib2_string spec: (push) (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))) (check-sat) (pop) response: sat successful call after successful call spec: (push) (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))) (check-sat) (pop) response: sat failing call after successful call spec: (push) (declare-const a@ (Array Int Int)) (declare-const b (Array (Array Int Int) Bool)) (assert (select b a)) (check-sat) (pop) failing call after failing call spec: (push) (declare-const a (Array Int Int)) (declare-const b# (Array (Array Int Int) Bool)) (assert (select b a)) (check-sat) (pop) successful call after failing call spec: (push) (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))) (check-sat) (pop) response: sat done evaluating testing Z3_eval_smtlib2_string spec: (declare-const |a| Bool) (assert |a|) (check-sat) done parsing spec: (declare-const |a\| Bool) (assert |a\|) (check-sat) done parsing spec: (declare-const |a\|| Bool) (assert |a\||) (check-sat) done parsing spec: (declare-const |a\\| Bool) (assert |a\\|) (check-sat) done parsing spec: (declare-const |a\\|| Bool) (assert |a\\||) (check-sat) done parsing spec: (declare-const |a\a| Bool) (assert |a\a|) (check-sat) done parsing spec: (declare-const |a\a Bool) (assert |a\a) (check-sat) done parsing done evaluating PASS (test smt2print_parse :time 0.06 :before-memory 34.13 :after-memory 34.13) VAR 0:0 --> 0 (:var 1) PASS (test substitution :time 0.00 :before-memory 34.13 :after-memory 34.11) VAR 0:0 --> 0 (:var 1) PASS (test substitution :time 0.00 :before-memory 34.11 :after-memory 34.11) --------- 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 0.00 :before-memory 34.11 :after-memory 34.11) --------- 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 0.00 :before-memory 34.11 :after-memory 34.11) 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 (polynomial-factorization :at GF_11) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 3) factors: 1 *(x^2 + 5)^1 *(x - 2)^1 *(x + 2)^1 3 3 --------------- p: x0^4 + x0^2 - 20 (polynomial-factorization :distinct-factors 1) factors: 1 *(x^4 + x^2 - 20)^1 1 1 --------------- p: x0^4 + x0^2 - 20 (polynomial-factorization :distinct-factors 1) factors: 1 *(x^4 + x^2 - 20)^1 1 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 (polynomial-factorization :distinct-factors 1) 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 1 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 (polynomial-factorization :distinct-factors 1) 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 1 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 (polynomial-factorization :distinct-factors 1) 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 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 (polynomial-factorization :distinct-factors 1) 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 1 1 --------------- p: x0^4 - 404 x0^2 + 39204 (polynomial-factorization :at GF_13) (polynomial-factorization :num-candidate-factors 2) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 2) factors: 1 *(x^2 - 242)^1 *(x^2 - 162)^1 2 2 --------------- p: - x0^8 + 3 x0^7 - 5 x0^6 + 4 x0^5 - 3 x0^4 + 4 x0^3 - 5 x0 + 3 (polynomial-factorization :at GF_5) (polynomial-factorization :num-candidate-factors 4) (polynomial-factorization :search-size 4) (polynomial-factorization :distinct-factors 3) factors: -1 *(x^2 - 2 x + 3)^1 *(x - 1)^1 *(x^5 - x^2 + 1)^1 3 3 --------------- p: x0^4 + x0^2 - 20 (polynomial-factorization :at GF_11) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 3) factors: 1 *(x^2 + 5)^1 *(x - 2)^1 *(x + 2)^1 3 3 --------------- p: 11 x0^8 - 33 x0^7 + 55 x0^6 - 44 x0^5 + 33 x0^4 - 44 x0^3 + 55 x0 - 33 (polynomial-factorization :at GF_5) (polynomial-factorization :num-candidate-factors 4) (polynomial-factorization :search-size 4) (polynomial-factorization :distinct-factors 3) factors: 11 *(x^2 - 2 x + 3)^1 *(x - 1)^1 *(x^5 - x^2 + 1)^1 3 3 --------------- p: - 2 x0^2 + x0 + 1 (polynomial-factorization :distinct-factors 2) factors: -1 *(x - 1)^1 *(2 x + 1)^1 2 2 --------------- 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 (polynomial-factorization :distinct-factors 3) factors: 13 *(x - 5)^5 *(x - 3)^6 *(x - 11)^7 3 3 --------------- 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 (polynomial-factorization :distinct-factors 1) factors: 1 *(x + 1)^30 1 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 (polynomial-factorization :at GF_11) (polynomial-factorization :num-candidate-factors 7) (polynomial-factorization :search-size 17) (polynomial-factorization :distinct-factors 3) factors: 1 *(x^10 - 4 x^5 + 2)^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 - 2 x^5 - 1)^1 3 3 --------------- p: x0^4 - 8 x0^2 (polynomial-factorization :distinct-factors 2) factors: 1 *(x^2 - 8)^1 *(x)^2 2 2 --------------- p: x0^5 - 2 x0^3 + x0 - 1 (polynomial-factorization :distinct-factors 1) factors: 1 *(x^5 - 2 x^3 + x - 1)^1 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 (polynomial-factorization :distinct-factors 2) 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 2 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 (polynomial-factorization :distinct-factors 2) factors: 1 *(x^5 - 16 x - 32)^1 *(x^10 + 3 x^6 + 11 x^5 - 4 x^2 + 4 x - 1)^2 2 2 --------------- p: x0^10 (polynomial-factorization :distinct-factors 1) factors: 1 *(x)^10 1 1 --------------- p: x0^2 - 1 (polynomial-factorization :distinct-factors 2) factors: 1 *(x - 1)^1 *(x + 1)^1 2 2 --------------- p: - 2 x0^2 + 2 (polynomial-factorization :distinct-factors 2) factors: -2 *(x - 1)^1 *(x + 1)^1 2 2 --------------- p: 0 (polynomial-factorization :distinct-factors 0) factors: 0 0 0 --------------- p: 3 (polynomial-factorization :distinct-factors 0) factors: 3 0 0 --------------- p: x0 + 1 (polynomial-factorization :distinct-factors 1) factors: 1 *(x + 1)^1 1 1 --------------- p: x0 - 1 (polynomial-factorization :distinct-factors 1) factors: 1 *(x - 1)^1 1 1 --------------- p: - x0 - 1 (polynomial-factorization :distinct-factors 1) factors: -1 *(x + 1)^1 1 1 --------------- p: - x0 + 1 (polynomial-factorization :distinct-factors 1) factors: -1 *(x - 1)^1 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 (polynomial-factorization :distinct-factors 1) 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 1 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 (polynomial-factorization :at GF_7) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 1) 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 1 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 (polynomial-factorization :at GF_7) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 1) 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 1 1 --------------- p: x0^4 - 404 x0^2 + 39204 (polynomial-factorization :at GF_13) (polynomial-factorization :num-candidate-factors 2) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 2) factors: 1 *(x^2 - 242)^1 *(x^2 - 162)^1 2 2 --------------- p: x0^25 - 31260 x0^20 + 383062540 x0^15 - 2590282000080 x0^10 + 7334282001000080 x0^5 - 9552011721875500032 (polynomial-factorization :at GF_13) (polynomial-factorization :num-candidate-factors 7) (polynomial-factorization :search-size 19) (polynomial-factorization :distinct-factors 2) factors: 1 *(x^5 - 15552)^1 *(x^20 - 15708 x^15 + 138771724 x^10 - 432104148432 x^5 + 614198284585616)^1 2 2 --------------- 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 (polynomial-factorization :at GF_11) (polynomial-factorization :num-candidate-factors 5) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 2) 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 2 2 --------------- p: - x0^27 + 54 x0^24 - 324 x0^21 + 17496 x0^18 - 34992 x0^15 + 1889568 x0^12 - 1259712 x0^9 + 68024448 x0^6 (polynomial-factorization :distinct-factors 3) factors: -1 *(x^3 - 54)^1 *(x^6 + 108)^3 *(x)^6 3 3 --------------- 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 (polynomial-factorization :at GF_17) (polynomial-factorization :num-candidate-factors 11) (polynomial-factorization :search-size 83) (polynomial-factorization :distinct-factors 5) 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 5 5 --------------- 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 (polynomial-factorization :at GF_23) (polynomial-factorization :num-candidate-factors 22) (polynomial-factorization :search-size 14448) (polynomial-factorization :distinct-factors 5) 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 5 5 --------------- 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 34.09 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.29) 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 34.29 :after-memory 34.29) isolating roots of: x^2 - 3 x + 2 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^2 - 3 x + 2 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) num. roots: 2 sign var(-oo): 2 sign var(+oo): 0 roots: 2 intervals: (0, 2)(interval check :time 0.00 :before-memory 34.09 :after-memory 34.09) isolating roots of: x^5 - 2 x^4 + x^3 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^2 - x (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) num. roots: 2 sign var(-oo): 2 sign var(+oo): 0 roots: 0 intervals: (0, 4)(interval check :time 0.00 :before-memory 34.09 :after-memory 34.09) isolating roots of: x^5 - x - 1 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^5 - x - 1 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) num. roots: 1 sign var(-oo): 2 sign var(+oo): 1 roots: intervals: (0, 4)(interval check :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) isolating roots of: 100000000 x^2 - 630000 x + 992 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: 100000000 x^2 - 630000 x + 992 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^2 - 3 x + 2 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) num. roots: 2 sign var(-oo): 2 sign var(+oo): 0 roots: 2 intervals: (0, 2)(interval check :time 0.00 :before-memory 34.09 :after-memory 34.09) isolating roots of: x^5 - 2 x^4 + x^3 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^2 - x (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) num. roots: 2 sign var(-oo): 2 sign var(+oo): 0 roots: 0 intervals: (0, 4)(interval check :time 0.00 :before-memory 34.09 :after-memory 34.09) isolating roots of: x^5 - x - 1 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^5 - x - 1 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) num. roots: 1 sign var(-oo): 2 sign var(+oo): 1 roots: intervals: (0, 4)(interval check :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) isolating roots of: 100000000 x^2 - 630000 x + 992 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: 100000000 x^2 - 630000 x + 992 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 0.26 :before-memory 34.11 :after-memory 34.09) 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 (polynomial-factorization :at GF_11) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 3) factors: 1 *(x^2 + 5)^1 *(x - 2)^1 *(x + 2)^1 3 3 --------------- p: x0^4 + x0^2 - 20 (polynomial-factorization :distinct-factors 1) factors: 1 *(x^4 + x^2 - 20)^1 1 1 --------------- p: x0^4 + x0^2 - 20 (polynomial-factorization :distinct-factors 1) factors: 1 *(x^4 + x^2 - 20)^1 1 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 (polynomial-factorization :distinct-factors 1) 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 1 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 (polynomial-factorization :distinct-factors 1) 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 1 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 (polynomial-factorization :distinct-factors 1) 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 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 (polynomial-factorization :distinct-factors 1) 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 1 1 --------------- p: x0^4 - 404 x0^2 + 39204 (polynomial-factorization :at GF_13) (polynomial-factorization :num-candidate-factors 2) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 2) factors: 1 *(x^2 - 242)^1 *(x^2 - 162)^1 2 2 --------------- p: - x0^8 + 3 x0^7 - 5 x0^6 + 4 x0^5 - 3 x0^4 + 4 x0^3 - 5 x0 + 3 (polynomial-factorization :at GF_5) (polynomial-factorization :num-candidate-factors 4) (polynomial-factorization :search-size 4) (polynomial-factorization :distinct-factors 3) factors: -1 *(x^2 - 2 x + 3)^1 *(x - 1)^1 *(x^5 - x^2 + 1)^1 3 3 --------------- p: x0^4 + x0^2 - 20 (polynomial-factorization :at GF_11) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 3) factors: 1 *(x^2 + 5)^1 *(x - 2)^1 *(x + 2)^1 3 3 --------------- p: 11 x0^8 - 33 x0^7 + 55 x0^6 - 44 x0^5 + 33 x0^4 - 44 x0^3 + 55 x0 - 33 (polynomial-factorization :at GF_5) (polynomial-factorization :num-candidate-factors 4) (polynomial-factorization :search-size 4) (polynomial-factorization :distinct-factors 3) factors: 11 *(x^2 - 2 x + 3)^1 *(x - 1)^1 *(x^5 - x^2 + 1)^1 3 3 --------------- p: - 2 x0^2 + x0 + 1 (polynomial-factorization :distinct-factors 2) factors: -1 *(x - 1)^1 *(2 x + 1)^1 2 2 --------------- 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 (polynomial-factorization :distinct-factors 3) factors: 13 *(x - 5)^5 *(x - 3)^6 *(x - 11)^7 3 3 --------------- 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 (polynomial-factorization :distinct-factors 1) factors: 1 *(x + 1)^30 1 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 (polynomial-factorization :at GF_11) (polynomial-factorization :num-candidate-factors 7) (polynomial-factorization :search-size 17) (polynomial-factorization :distinct-factors 3) factors: 1 *(x^10 - 4 x^5 + 2)^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 - 2 x^5 - 1)^1 3 3 --------------- p: x0^4 - 8 x0^2 (polynomial-factorization :distinct-factors 2) factors: 1 *(x^2 - 8)^1 *(x)^2 2 2 --------------- p: x0^5 - 2 x0^3 + x0 - 1 (polynomial-factorization :distinct-factors 1) factors: 1 *(x^5 - 2 x^3 + x - 1)^1 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 (polynomial-factorization :distinct-factors 2) 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 2 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 (polynomial-factorization :distinct-factors 2) factors: 1 *(x^5 - 16 x - 32)^1 *(x^10 + 3 x^6 + 11 x^5 - 4 x^2 + 4 x - 1)^2 2 2 --------------- p: x0^10 (polynomial-factorization :distinct-factors 1) factors: 1 *(x)^10 1 1 --------------- p: x0^2 - 1 (polynomial-factorization :distinct-factors 2) factors: 1 *(x - 1)^1 *(x + 1)^1 2 2 --------------- p: - 2 x0^2 + 2 (polynomial-factorization :distinct-factors 2) factors: -2 *(x - 1)^1 *(x + 1)^1 2 2 --------------- p: 0 (polynomial-factorization :distinct-factors 0) factors: 0 0 0 --------------- p: 3 (polynomial-factorization :distinct-factors 0) factors: 3 0 0 --------------- p: x0 + 1 (polynomial-factorization :distinct-factors 1) factors: 1 *(x + 1)^1 1 1 --------------- p: x0 - 1 (polynomial-factorization :distinct-factors 1) factors: 1 *(x - 1)^1 1 1 --------------- p: - x0 - 1 (polynomial-factorization :distinct-factors 1) factors: -1 *(x + 1)^1 1 1 --------------- p: - x0 + 1 (polynomial-factorization :distinct-factors 1) factors: -1 *(x - 1)^1 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 (polynomial-factorization :distinct-factors 1) 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 1 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 (polynomial-factorization :at GF_7) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 1) 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 1 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 (polynomial-factorization :at GF_7) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 1) 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 1 1 --------------- p: x0^4 - 404 x0^2 + 39204 (polynomial-factorization :at GF_13) (polynomial-factorization :num-candidate-factors 2) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 2) factors: 1 *(x^2 - 242)^1 *(x^2 - 162)^1 2 2 --------------- p: x0^25 - 31260 x0^20 + 383062540 x0^15 - 2590282000080 x0^10 + 7334282001000080 x0^5 - 9552011721875500032 (polynomial-factorization :at GF_13) (polynomial-factorization :num-candidate-factors 7) (polynomial-factorization :search-size 19) (polynomial-factorization :distinct-factors 2) factors: 1 *(x^5 - 15552)^1 *(x^20 - 15708 x^15 + 138771724 x^10 - 432104148432 x^5 + 614198284585616)^1 2 2 --------------- 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 (polynomial-factorization :at GF_11) (polynomial-factorization :num-candidate-factors 5) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 2) 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 2 2 --------------- p: - x0^27 + 54 x0^24 - 324 x0^21 + 17496 x0^18 - 34992 x0^15 + 1889568 x0^12 - 1259712 x0^9 + 68024448 x0^6 (polynomial-factorization :distinct-factors 3) factors: -1 *(x^3 - 54)^1 *(x^6 + 108)^3 *(x)^6 3 3 --------------- 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 (polynomial-factorization :at GF_17) (polynomial-factorization :num-candidate-factors 11) (polynomial-factorization :search-size 83) (polynomial-factorization :distinct-factors 5) 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 5 5 --------------- 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 (polynomial-factorization :at GF_23) (polynomial-factorization :num-candidate-factors 22) (polynomial-factorization :search-size 14448) (polynomial-factorization :distinct-factors 5) 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 5 5 --------------- 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 34.09 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.29) 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 34.29 :after-memory 34.29) isolating roots of: x^2 - 3 x + 2 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^2 - 3 x + 2 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) num. roots: 2 sign var(-oo): 2 sign var(+oo): 0 roots: 2 intervals: (0, 2)(interval check :time 0.00 :before-memory 34.09 :after-memory 34.09) isolating roots of: x^5 - 2 x^4 + x^3 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^2 - x (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) num. roots: 2 sign var(-oo): 2 sign var(+oo): 0 roots: 0 intervals: (0, 4)(interval check :time 0.00 :before-memory 34.09 :after-memory 34.09) isolating roots of: x^5 - x - 1 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^5 - x - 1 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) num. roots: 1 sign var(-oo): 2 sign var(+oo): 1 roots: intervals: (0, 4)(interval check :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) isolating roots of: 100000000 x^2 - 630000 x + 992 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: 100000000 x^2 - 630000 x + 992 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^2 - 3 x + 2 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) num. roots: 2 sign var(-oo): 2 sign var(+oo): 0 roots: 2 intervals: (0, 2)(interval check :time 0.00 :before-memory 34.09 :after-memory 34.09) isolating roots of: x^5 - 2 x^4 + x^3 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^2 - x (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) num. roots: 2 sign var(-oo): 2 sign var(+oo): 0 roots: 0 intervals: (0, 4)(interval check :time 0.00 :before-memory 34.09 :after-memory 34.09) isolating roots of: x^5 - x - 1 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^5 - x - 1 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) num. roots: 1 sign var(-oo): 2 sign var(+oo): 1 roots: intervals: (0, 4)(interval check :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) isolating roots of: 100000000 x^2 - 630000 x + 992 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: 100000000 x^2 - 630000 x + 992 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 (isolate time :time 0.00 :before-memory 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.09) square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 (sqf time :time 0.00 :before-memory 34.09 :after-memory 34.09) (fourier time :time 0.00 :before-memory 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) 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 34.09 :after-memory 34.09) (sturm time :time 0.00 :before-memory 34.09 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (sturm time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) (fourier time :time 0.00 :before-memory 34.19 :after-memory 34.19) 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 34.19 :after-memory 34.19) 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 0.26 :before-memory 34.09 :after-memory 34.09) p: 507962865083498496 x0^10 + 102100535881783197696 x0^9 - 14783112447185507561472 x0^8 - 2001324733200883839555072 x0^7 + 195168383210843217999079936 x0^6 + 38119811955608999164032 x0^5 + 9215524544769908136049956 x0^4 - 733241058456905205563830332 x0^3 - 15888459782104331950227 x0^2 - 10235992917286431461226534 x0 + 688689757310708660505387921 (polynomial-factorization :at GF_13) (polynomial-factorization :num-candidate-factors 2) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 1) (polynomial-factorization :distinct-factors 1) numbers in decimal: -199.0000036564? -199.0000002927? 98.5000019176? 98.5000019191? numbers as root objects (507962865083498496 #^10 + 102100535881783197696 #^9 - 14783112447185507561472 #^8 - 2001324733200883839555072 #^7 + 195168383210843217999079936 #^6 + 38119811955608999164032 #^5 + 9215524544769908136049956 #^4 - 733241058456905205563830332 #^3 - 15888459782104331950227 #^2 - 10235992917286431461226534 # + 688689757310708660505387921, 1) (507962865083498496 #^10 + 102100535881783197696 #^9 - 14783112447185507561472 #^8 - 2001324733200883839555072 #^7 + 195168383210843217999079936 #^6 + 38119811955608999164032 #^5 + 9215524544769908136049956 #^4 - 733241058456905205563830332 #^3 - 15888459782104331950227 #^2 - 10235992917286431461226534 # + 688689757310708660505387921, 2) (507962865083498496 #^10 + 102100535881783197696 #^9 - 14783112447185507561472 #^8 - 2001324733200883839555072 #^7 + 195168383210843217999079936 #^6 + 38119811955608999164032 #^5 + 9215524544769908136049956 #^4 - 733241058456905205563830332 #^3 - 15888459782104331950227 #^2 - 10235992917286431461226534 # + 688689757310708660505387921, 3) (507962865083498496 #^10 + 102100535881783197696 #^9 - 14783112447185507561472 #^8 - 2001324733200883839555072 #^7 + 195168383210843217999079936 #^6 + 38119811955608999164032 #^5 + 9215524544769908136049956 #^4 - 733241058456905205563830332 #^3 - 15888459782104331950227 #^2 - 10235992917286431461226534 # + 688689757310708660505387921, 4) numbers as intervals (-52166657/2^18, -104333313/2^19) (-104333313/2^19, -199) (13220446465/2^27, 26440892931/2^28) (26440892931/2^28, 6610223233/2^26) numbers in decimal: -199.6334841049? 0.6335535718? 1.2450962798? 98.5000019267? numbers as root objects (1286741608255488 #^6 + 129317531629676544 #^5 - 25384908626459170944 #^4 + 16014650289587907456 #^3 + 2042137943326838560 #^2 + 44729821875714513846 # - 29154410578758924855, 1) (1286741608255488 #^6 + 129317531629676544 #^5 - 25384908626459170944 #^4 + 16014650289587907456 #^3 + 2042137943326838560 #^2 + 44729821875714513846 # - 29154410578758924855, 2) (1286741608255488 #^6 + 129317531629676544 #^5 - 25384908626459170944 #^4 + 16014650289587907456 #^3 + 2042137943326838560 #^2 + 44729821875714513846 # - 29154410578758924855, 3) (1286741608255488 #^6 + 129317531629676544 #^5 - 25384908626459170944 #^4 + 16014650289587907456 #^3 + 2042137943326838560 #^2 + 44729821875714513846 # - 29154410578758924855, 4) numbers as intervals (-256, -128) (0, 1) (1, 2) (64, 128) a:98.5000019176? a:(13220446465/2^27, 26440892931/2^28) a:(507962865083498496 #^10 + 102100535881783197696 #^9 - 14783112447185507561472 #^8 - 2001324733200883839555072 #^7 + 195168383210843217999079936 #^6 + 38119811955608999164032 #^5 + 9215524544769908136049956 #^4 - 733241058456905205563830332 #^3 - 15888459782104331950227 #^2 - 10235992917286431461226534 # + 688689757310708660505387921, 3) b:98.5000019191? b:(26440892931/2^28, 6610223233/2^26) b:(507962865083498496 #^10 + 102100535881783197696 #^9 - 14783112447185507561472 #^8 - 2001324733200883839555072 #^7 + 195168383210843217999079936 #^6 + 38119811955608999164032 #^5 + 9215524544769908136049956 #^4 - 733241058456905205563830332 #^3 - 15888459782104331950227 #^2 - 10235992917286431461226534 # + 688689757310708660505387921, 4) c:98.5000019267? c:(64, 128) c:(1286741608255488 #^6 + 129317531629676544 #^5 - 25384908626459170944 #^4 + 16014650289587907456 #^3 + 2042137943326838560 #^2 + 44729821875714513846 # - 29154410578758924855, 4) c < a sturm 0 0 (expecting 0) b < a 0 c < b sturm 0 0 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) (polynomial-factorization :distinct-factors 1) roots: (# + 1, 1) -1 signs: - 0 + -------------- p: x1 x3 + 1 x0 -> (#, 1) x1 -> (#^2 - 2, 2) x2 -> (#, 1) (polynomial-factorization :distinct-factors 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) (polynomial-factorization :distinct-factors 1) 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) (polynomial-factorization :distinct-factors 2) (polynomial-factorization :distinct-factors 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) (polynomial-factorization :distinct-factors 2) (polynomial-factorization :distinct-factors 1) 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) (polynomial-factorization :distinct-factors 2) (polynomial-factorization :distinct-factors 1) 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) (polynomial-factorization :distinct-factors 2) (polynomial-factorization :distinct-factors 2) roots: signs: 0 -------------- p: - x2 x3^3 + x1 x3^3 + x1 x2 - 2 x0 -> (#, 1) x1 -> (#^2 - 2, 2) x2 -> (#^2 - 2, 2) (polynomial-factorization :distinct-factors 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) (polynomial-factorization :at GF_7) (polynomial-factorization :num-candidate-factors 2) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 2) 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) (polynomial-factorization :at GF_11) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 2) 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) (polynomial-factorization :at GF_7) (polynomial-factorization :num-candidate-factors 2) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 4) 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: 1 -------------- 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: -1 -------------- 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) (polynomial-factorization :at GF_5) (polynomial-factorization :num-candidate-factors 6) (polynomial-factorization :search-size 41) (polynomial-factorization :distinct-factors 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 (polynomial-factorization :at GF_29) (polynomial-factorization :num-candidate-factors 20) (polynomial-factorization :search-size 20) (polynomial-factorization :distinct-factors 20) 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 (polynomial-factorization :distinct-factors 1) numbers in decimal: 0.6666666666? numbers as root objects (3 # - 2, 1) numbers as intervals [2/3, 2/3] p: x0^2 - 2 (polynomial-factorization :distinct-factors 1) 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 (polynomial-factorization :at GF_3) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 3) 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 (:algebraic-compare-cheap 2 :algebraic-compare-refine 4) p: x0^4 - 5 x0^2 + 6 (polynomial-factorization :at GF_7) (polynomial-factorization :num-candidate-factors 2) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 2) 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 (:algebraic-compare-cheap 10 :algebraic-compare-poly 1 :algebraic-compare-refine 10) sqrt(2)^4: (polynomial-factorization :distinct-factors 1) 4 (polynomial-factorization :distinct-factors 1) (polynomial-factorization :distinct-factors 1) (polynomial-factorization :distinct-factors 1) sqrt2 + gauss: 2.5815175406? (#^10 - 10 #^8 + 38 #^6 - 2 #^5 - 100 #^4 - 40 #^3 + 121 #^2 - 38 # - 17, 2) sqrt2*sqrt2: (polynomial-factorization :distinct-factors 2) 2 sqrt2*sqrt2 == 2: (polynomial-factorization :distinct-factors 2) 1 (-3)^(1/5): -1.2457309396? sqrt(2)^(1/3): (polynomial-factorization :distinct-factors 1) 1.1224620483? as-root-object(sqrt(2)^(1/3)): (polynomial-factorization :distinct-factors 1) (#^6 - 2, 2) (sqrt(2) + 1)^(1/3): (polynomial-factorization :distinct-factors 1) 1.3415037626? as-root-object((sqrt(2) + 1)^(1/3)): (polynomial-factorization :distinct-factors 1) (#^6 - 2 #^3 - 1, 2) (sqrt(2) + gauss)^(1/5): (polynomial-factorization :distinct-factors 1) (polynomial-factorization :at GF_7) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 1) 1.2088572404? as-root-object(sqrt(2) + gauss)^(1/5): (polynomial-factorization :distinct-factors 1) (polynomial-factorization :at GF_7) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 1) (#^50 - 10 #^40 + 38 #^30 - 2 #^25 - 100 #^20 - 40 #^15 + 121 #^10 - 38 #^5 - 17, 2) (sqrt(2) / sqrt(2)): (polynomial-factorization :distinct-factors 2) 1 (sqrt(2) / gauss): (polynomial-factorization :distinct-factors 1) 1.2115212392? (sqrt(2) / gauss) 30 digits: (polynomial-factorization :distinct-factors 1) 1.211521239291433957983023270852? as-root-object(sqrt(2) / gauss): (polynomial-factorization :distinct-factors 1) (#^10 - 2 #^8 + 16 #^4 - 32, 2) is_int(sqrt(2)^(1/3)): (polynomial-factorization :distinct-factors 1) 0 1/sqrt(2): 0.7071067811? 4*1/sqrt(2): 2.8284271247? (#^2 - 8, 2) (polynomial-factorization :distinct-factors 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 (polynomial-factorization :at GF_13) (polynomial-factorization :num-candidate-factors 2) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 2) 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 0.65 :before-memory 34.09 :after-memory 34.09) p: 507962865083498496 x0^10 + 102100535881783197696 x0^9 - 14783112447185507561472 x0^8 - 2001324733200883839555072 x0^7 + 195168383210843217999079936 x0^6 + 38119811955608999164032 x0^5 + 9215524544769908136049956 x0^4 - 733241058456905205563830332 x0^3 - 15888459782104331950227 x0^2 - 10235992917286431461226534 x0 + 688689757310708660505387921 (polynomial-factorization :at GF_13) (polynomial-factorization :num-candidate-factors 2) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 1) (polynomial-factorization :distinct-factors 1) numbers in decimal: -199.0000036564? -199.0000002927? 98.5000019176? 98.5000019191? numbers as root objects (507962865083498496 #^10 + 102100535881783197696 #^9 - 14783112447185507561472 #^8 - 2001324733200883839555072 #^7 + 195168383210843217999079936 #^6 + 38119811955608999164032 #^5 + 9215524544769908136049956 #^4 - 733241058456905205563830332 #^3 - 15888459782104331950227 #^2 - 10235992917286431461226534 # + 688689757310708660505387921, 1) (507962865083498496 #^10 + 102100535881783197696 #^9 - 14783112447185507561472 #^8 - 2001324733200883839555072 #^7 + 195168383210843217999079936 #^6 + 38119811955608999164032 #^5 + 9215524544769908136049956 #^4 - 733241058456905205563830332 #^3 - 15888459782104331950227 #^2 - 10235992917286431461226534 # + 688689757310708660505387921, 2) (507962865083498496 #^10 + 102100535881783197696 #^9 - 14783112447185507561472 #^8 - 2001324733200883839555072 #^7 + 195168383210843217999079936 #^6 + 38119811955608999164032 #^5 + 9215524544769908136049956 #^4 - 733241058456905205563830332 #^3 - 15888459782104331950227 #^2 - 10235992917286431461226534 # + 688689757310708660505387921, 3) (507962865083498496 #^10 + 102100535881783197696 #^9 - 14783112447185507561472 #^8 - 2001324733200883839555072 #^7 + 195168383210843217999079936 #^6 + 38119811955608999164032 #^5 + 9215524544769908136049956 #^4 - 733241058456905205563830332 #^3 - 15888459782104331950227 #^2 - 10235992917286431461226534 # + 688689757310708660505387921, 4) numbers as intervals (-52166657/2^18, -104333313/2^19) (-104333313/2^19, -199) (13220446465/2^27, 26440892931/2^28) (26440892931/2^28, 6610223233/2^26) numbers in decimal: -199.6334841049? 0.6335535718? 1.2450962798? 98.5000019267? numbers as root objects (1286741608255488 #^6 + 129317531629676544 #^5 - 25384908626459170944 #^4 + 16014650289587907456 #^3 + 2042137943326838560 #^2 + 44729821875714513846 # - 29154410578758924855, 1) (1286741608255488 #^6 + 129317531629676544 #^5 - 25384908626459170944 #^4 + 16014650289587907456 #^3 + 2042137943326838560 #^2 + 44729821875714513846 # - 29154410578758924855, 2) (1286741608255488 #^6 + 129317531629676544 #^5 - 25384908626459170944 #^4 + 16014650289587907456 #^3 + 2042137943326838560 #^2 + 44729821875714513846 # - 29154410578758924855, 3) (1286741608255488 #^6 + 129317531629676544 #^5 - 25384908626459170944 #^4 + 16014650289587907456 #^3 + 2042137943326838560 #^2 + 44729821875714513846 # - 29154410578758924855, 4) numbers as intervals (-256, -128) (0, 1) (1, 2) (64, 128) a:98.5000019176? a:(13220446465/2^27, 26440892931/2^28) a:(507962865083498496 #^10 + 102100535881783197696 #^9 - 14783112447185507561472 #^8 - 2001324733200883839555072 #^7 + 195168383210843217999079936 #^6 + 38119811955608999164032 #^5 + 9215524544769908136049956 #^4 - 733241058456905205563830332 #^3 - 15888459782104331950227 #^2 - 10235992917286431461226534 # + 688689757310708660505387921, 3) b:98.5000019191? b:(26440892931/2^28, 6610223233/2^26) b:(507962865083498496 #^10 + 102100535881783197696 #^9 - 14783112447185507561472 #^8 - 2001324733200883839555072 #^7 + 195168383210843217999079936 #^6 + 38119811955608999164032 #^5 + 9215524544769908136049956 #^4 - 733241058456905205563830332 #^3 - 15888459782104331950227 #^2 - 10235992917286431461226534 # + 688689757310708660505387921, 4) c:98.5000019267? c:(64, 128) c:(1286741608255488 #^6 + 129317531629676544 #^5 - 25384908626459170944 #^4 + 16014650289587907456 #^3 + 2042137943326838560 #^2 + 44729821875714513846 # - 29154410578758924855, 4) c < a sturm 0 0 (expecting 0) b < a 0 c < b sturm 0 0 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) (polynomial-factorization :distinct-factors 1) roots: (# + 1, 1) -1 signs: - 0 + -------------- p: x1 x3 + 1 x0 -> (#, 1) x1 -> (#^2 - 2, 2) x2 -> (#, 1) (polynomial-factorization :distinct-factors 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) (polynomial-factorization :distinct-factors 1) 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) (polynomial-factorization :distinct-factors 2) (polynomial-factorization :distinct-factors 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) (polynomial-factorization :distinct-factors 2) (polynomial-factorization :distinct-factors 1) 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) (polynomial-factorization :distinct-factors 2) (polynomial-factorization :distinct-factors 1) 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) (polynomial-factorization :distinct-factors 2) (polynomial-factorization :distinct-factors 2) roots: signs: 0 -------------- p: - x2 x3^3 + x1 x3^3 + x1 x2 - 2 x0 -> (#, 1) x1 -> (#^2 - 2, 2) x2 -> (#^2 - 2, 2) (polynomial-factorization :distinct-factors 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) (polynomial-factorization :at GF_7) (polynomial-factorization :num-candidate-factors 2) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 2) 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) (polynomial-factorization :at GF_11) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 2) 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) (polynomial-factorization :at GF_7) (polynomial-factorization :num-candidate-factors 2) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 4) 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: 1 -------------- 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: -1 -------------- 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) (polynomial-factorization :at GF_5) (polynomial-factorization :num-candidate-factors 6) (polynomial-factorization :search-size 41) (polynomial-factorization :distinct-factors 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 (polynomial-factorization :at GF_29) (polynomial-factorization :num-candidate-factors 20) (polynomial-factorization :search-size 20) (polynomial-factorization :distinct-factors 20) 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 (polynomial-factorization :distinct-factors 1) numbers in decimal: 0.6666666666? numbers as root objects (3 # - 2, 1) numbers as intervals [2/3, 2/3] p: x0^2 - 2 (polynomial-factorization :distinct-factors 1) 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 (polynomial-factorization :at GF_3) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 3) 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 (:algebraic-compare-cheap 2 :algebraic-compare-refine 4) p: x0^4 - 5 x0^2 + 6 (polynomial-factorization :at GF_7) (polynomial-factorization :num-candidate-factors 2) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 2) 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 (:algebraic-compare-cheap 10 :algebraic-compare-poly 1 :algebraic-compare-refine 10) sqrt(2)^4: (polynomial-factorization :distinct-factors 1) 4 (polynomial-factorization :distinct-factors 1) (polynomial-factorization :distinct-factors 1) (polynomial-factorization :distinct-factors 1) sqrt2 + gauss: 2.5815175406? (#^10 - 10 #^8 + 38 #^6 - 2 #^5 - 100 #^4 - 40 #^3 + 121 #^2 - 38 # - 17, 2) sqrt2*sqrt2: (polynomial-factorization :distinct-factors 2) 2 sqrt2*sqrt2 == 2: (polynomial-factorization :distinct-factors 2) 1 (-3)^(1/5): -1.2457309396? sqrt(2)^(1/3): (polynomial-factorization :distinct-factors 1) 1.1224620483? as-root-object(sqrt(2)^(1/3)): (polynomial-factorization :distinct-factors 1) (#^6 - 2, 2) (sqrt(2) + 1)^(1/3): (polynomial-factorization :distinct-factors 1) 1.3415037626? as-root-object((sqrt(2) + 1)^(1/3)): (polynomial-factorization :distinct-factors 1) (#^6 - 2 #^3 - 1, 2) (sqrt(2) + gauss)^(1/5): (polynomial-factorization :distinct-factors 1) (polynomial-factorization :at GF_7) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 1) 1.2088572404? as-root-object(sqrt(2) + gauss)^(1/5): (polynomial-factorization :distinct-factors 1) (polynomial-factorization :at GF_7) (polynomial-factorization :num-candidate-factors 3) (polynomial-factorization :search-size 3) (polynomial-factorization :distinct-factors 1) (#^50 - 10 #^40 + 38 #^30 - 2 #^25 - 100 #^20 - 40 #^15 + 121 #^10 - 38 #^5 - 17, 2) (sqrt(2) / sqrt(2)): (polynomial-factorization :distinct-factors 2) 1 (sqrt(2) / gauss): (polynomial-factorization :distinct-factors 1) 1.2115212392? (sqrt(2) / gauss) 30 digits: (polynomial-factorization :distinct-factors 1) 1.211521239291433957983023270852? as-root-object(sqrt(2) / gauss): (polynomial-factorization :distinct-factors 1) (#^10 - 2 #^8 + 16 #^4 - 32, 2) is_int(sqrt(2)^(1/3)): (polynomial-factorization :distinct-factors 1) 0 1/sqrt(2): 0.7071067811? 4*1/sqrt(2): 2.8284271247? (#^2 - 8, 2) (polynomial-factorization :distinct-factors 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 (polynomial-factorization :at GF_13) (polynomial-factorization :num-candidate-factors 2) (polynomial-factorization :search-size 2) (polynomial-factorization :distinct-factors 2) 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 0.65 :before-memory 34.09 :after-memory 34.09) 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, 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87383, 87403, 87407, 87421, 87427, 87433, 87443, 87473, 87481, 87491, 87509, 87511, 87517, 87523, 87539, 87541, 87547, 87553, 87557, 87559, 87583, 87587, 87589, 87613, 87623, 87629, 87631, 87641, 87643, 87649, 87671, 87679, 87683, 87691, 87697, 87701, 87719, 87721, 87739, 87743, 87751, 87767, 87793, 87797, 87803, 87811, 87833, 87853, 87869, 87877, 87881, 87887, 87911, 87917, 87931, 87943, 87959, 87961, 87973, 87977, 87991, 88001, 88003, 88007, 88019, 88037, 88069, 88079, 88093, 88117, 88129, 88169, 88177, 88211, 88223, 88237, 88241, 88259, 88261, 88289, 88301, 88321, 88327, 88337, 88339, 88379, 88397, 88411, 88423, 88427, 88463, 88469, 88471, 88493, 88499, 88513, 88523, 88547, 88589, 88591, 88607, 88609, 88643, 88651, 88657, 88661, 88663, 88667, 88681, 88721, 88729, 88741, 88747, 88771, 88789, 88793, 88799, 88801, 88807, 88811, 88813, 88817, 88819, 88843, 88853, 88861, 88867, 88873, 88883, 88897, 88903, 88919, 88937, 88951, 88969, 88993, 88997, 89003, 89009, 89017, 89021, 89041, 89051, 89057, 89069, 89071, 89083, 89087, 89101, 89107, 89113, 89119, 89123, 89137, 89153, 89189, 89203, 89209, 89213, 89227, 89231, 89237, 89261, 89269, 89273, 89293, 89303, 89317, 89329, 89363, 89371, 89381, 89387, 89393, 89399, 89413, 89417, 89431, 89443, 89449, 89459, 89477, 89491, 89501, 89513, 89519, 89521, 89527, 89533, 89561, 89563, 89567, 89591, 89597, 89599, 89603, 89611, 89627, 89633, 89653, 89657, 89659, 89669, 89671, 89681, 89689, 89753, 89759, 89767, 89779, 89783, 89797, 89809, 89819, 89821, 89833, 89839, 89849, 89867, 89891, 89897, 89899, 89909, 89917, 89923, 89939, 89959, 89963, 89977, 89983, 89989, 90001, 90007, 90011, 90017, 90019, 90023, 90031, 90053, 90059, 90067, 90071, 90073, 90089, 90107, 90121, 90127, 90149, 90163, 90173, 90187, 90191, 90197, 90199, 90203, 90217, 90227, 90239, 90247, 90263, 90271, 90281, 90289, 90313, 90353, 90359, 90371, 90373, 90379, 90397, 90401, 90403, 90407, 90437, 90439, 90469, 90473, 90481, 90499, 90511, 90523, 90527, 90529, 90533, 90547, 90583, 90599, 90617, 90619, 90631, 90641, 90647, 90659, 90677, 90679, 90697, 90703, 90709, 90731, 90749, 90787, 90793, 90803, 90821, 90823, 90833, 90841, 90847, 90863, 90887, 90901, 90907, 90911, 90917, 90931, 90947, 90971, 90977, 90989, 90997, 91009, 91019, 91033, 91079, 91081, 91097, 91099, 91121, 91127, 91129, 91139, 91141, 91151, 91153, 91159, 91163, 91183, 91193, 91199, 91229, 91237, 91243, 91249, 91253, 91283, 91291, 91297, 91303, 91309, 91331, 91367, 91369, 91373, 91381, 91387, 91393, 91397, 91411, 91423, 91433, 91453, 91457, 91459, 91463, 91493, 91499, 91513, 91529, 91541, 91571, 91573, 91577, 91583, 91591, 91621, 91631, 91639, 91673, 91691, 91703, 91711, 91733, 91753, 91757, 91771, 91781, 91801, 91807, 91811, 91813, 91823, 91837, 91841, 91867, 91873, 91909, 91921, 91939, 91943, 91951, 91957, 91961, 91967, 91969, 91997, 92003, 92009, 92033, 92041, 92051, 92077, 92083, 92107, 92111, 92119, 92143, 92153, 92173, 92177, 92179, 92189, 92203, 92219, 92221, 92227, 92233, 92237, 92243, 92251, 92269, 92297, 92311, 92317, 92333, 92347, 92353, 92357, 92363, 92369, 92377, 92381, 92383, 92387, 92399, 92401, 92413, 92419, 92431, 92459, 92461, 92467, 92479, 92489, 92503, 92507, 92551, 92557, 92567, 92569, 92581, 92593, 92623, 92627, 92639, 92641, 92647, 92657, 92669, 92671, 92681, 92683, 92693, 92699, 92707, 92717, 92723, 92737, 92753, 92761, 92767, 92779, 92789, 92791, 92801, 92809, 92821, 92831, 92849, 92857, 92861, 92863, 92867, 92893, 92899, 92921, 92927, 92941, 92951, 92957, 92959, 92987, 92993, 93001, 93047, 93053, 93059, 93077, 93083, 93089, 93097, 93103, 93113, 93131, 93133, 93139, 93151, 93169, 93179, 93187, 93199, 93229, 93239, 93241, 93251, 93253, 93257, 93263, 93281, 93283, 93287, 93307, 93319, 93323, 93329, 93337, 93371, 93377, 93383, 93407, 93419, 93427, 93463, 93479, 93481, 93487, 93491, 93493, 93497, 93503, 93523, 93529, 93553, 93557, 93559, 93563, 93581, 93601, 93607, 93629, 93637, 93683, 93701, 93703, 93719, 93739, 93761, 93763, 93787, 93809, 93811, 93827, 93851, 93871, 93887, 93889, 93893, 93901, 93911, 93913, 93923, 93937, 93941, 93949, 93967, 93971, 93979, 93983, 93997, 94007, 94009, 94033, 94049, 94057, 94063, 94079, 94099, 94109, 94111, 94117, 94121, 94151, 94153, 94169, 94201, 94207, 94219, 94229, 94253, 94261, 94273, 94291, 94307, 94309, 94321, 94327, 94331, 94343, 94349, 94351, 94379, 94397, 94399, 94421, 94427, 94433, 94439, 94441, 94447, 94463, 94477, 94483, 94513, 94529, 94531, 94541, 94543, 94547, 94559, 94561, 94573, 94583, 94597, 94603, 94613, 94621, 94649, 94651, 94687, 94693, 94709, 94723, 94727, 94747, 94771, 94777, 94781, 94789, 94793, 94811, 94819, 94823, 94837, 94841, 94847, 94849, 94873, 94889, 94903, 94907, 94933, 94949, 94951, 94961, 94993, 94999, 95003, 95009, 95021, 95027, 95063, 95071, 95083, 95087, 95089, 95093, 95101, 95107, 95111, 95131, 95143, 95153, 95177, 95189, 95191, 95203, 95213, 95219, 95231, 95233, 95239, 95257, 95261, 95267, 95273, 95279, 95287, 95311, 95317, 95327, 95339, 95369, 95383, 95393, 95401, 95413, 95419, 95429, 95441, 95443, 95461, 95467, 95471, 95479, 95483, 95507, 95527, 95531, 95539, 95549, 95561, 95569, 95581, 95597, 95603, 95617, 95621, 95629, 95633, 95651, 95701, 95707, 95713, 95717, 95723, 95731, 95737, 95747, 95773, 95783, 95789, 95791, 95801, 95803, 95813, 95819, 95857, 95869, 95873, 95881, 95891, 95911, 95917, 95923, 95929, 95947, 95957, 95959, 95971, 95987, 95989, 96001, 96013, 96017, 96043, 96053, 96059, 96079, 96097, 96137, 96149, 96157, 96167, 96179, 96181, 96199, 96211, 96221, 96223, 96233, 96259, 96263, 96269, 96281, 96289, 96293, 96323, 96329, 96331, 96337, 96353, 96377, 96401, 96419, 96431, 96443, 96451, 96457, 96461, 96469, 96479, 96487, 96493, 96497, 96517, 96527, 96553, 96557, 96581, 96587, 96589, 96601, 96643, 96661, 96667, 96671, 96697, 96703, 96731, 96737, 96739, 96749, 96757, 96763, 96769, 96779, 96787, 96797, 96799, 96821, 96823, 96827, 96847, 96851, 96857, 96893, 96907, 96911, 96931, 96953, 96959, 96973, 96979, 96989, 96997, 97001, 97003, 97007, 97021, 97039, 97073, 97081, 97103, 97117, 97127, 97151, 97157, 97159, 97169, 97171, 97177, 97187, 97213, 97231, 97241, 97259, 97283, 97301, 97303, 97327, 97367, 97369, 97373, 97379, 97381, 97387, 97397, 97423, 97429, 97441, 97453, 97459, 97463, 97499, 97501, 97511, 97523, 97547, 97549, 97553, 97561, 97571, 97577, 97579, 97583, 97607, 97609, 97613, 97649, 97651, 97673, 97687, 97711, 97729, 97771, 97777, 97787, 97789, 97813, 97829, 97841, 97843, 97847, 97849, 97859, 97861, 97871, 97879, 97883, 97919, 97927, 97931, 97943, 97961, 97967, 97973, 97987, 98009, 98011, 98017, 98041, 98047, 98057, 98081, 98101, 98123, 98129, 98143, 98179, 98207, 98213, 98221, 98227, 98251, 98257, 98269, 98297, 98299, 98317, 98321, 98323, 98327, 98347, 98369, 98377, 98387, 98389, 98407, 98411, 98419, 98429, 98443, 98453, 98459, 98467, 98473, 98479, 98491, 98507, 98519, 98533, 98543, 98561, 98563, 98573, 98597, 98621, 98627, 98639, 98641, 98663, 98669, 98689, 98711, 98713, 98717, 98729, 98731, 98737, 98773, 98779, 98801, 98807, 98809, 98837, 98849, 98867, 98869, 98873, 98887, 98893, 98897, 98899, 98909, 98911, 98927, 98929, 98939, 98947, 98953, 98963, 98981, 98993, 98999, 99013, 99017, 99023, 99041, 99053, 99079, 99083, 99089, 99103, 99109, 99119, 99131, 99133, 99137, 99139, 99149, 99173, 99181, 99191, 99223, 99233, 99241, 99251, 99257, 99259, 99277, 99289, 99317, 99347, 99349, 99367, 99371, 99377, 99391, 99397, 99401, 99409, 99431, 99439, 99469, 99487, 99497, 99523, 99527, 99529, 99551, 99559, 99563, 99571, 99577, 99581, 99607, 99611, 99623, 99643, 99661, 99667, 99679, 99689, 99707, 99709, 99713, 99719, 99721, 99733, 99761, 99767, 99787, 99793, 99809, 99817, 99823, 99829, 99833, 99839, 99859, 99871, 99877, 99881, 99901, 99907, 99923, 99929, 99961, 99971, 99989, 99991, 100003, 100019, 100043, 100049, 100057, 100069, 100103, 100109, 100129, 100151, 100153, 100169, 100183, 100189, 100193, 100207, 100213, 100237, 100267, 100271, 100279, 100291, 100297, 100313, 100333, 100343, 100357, 100361, 100363, 100379, 100391, 100393, 100403, 100411, 100417, 100447, 100459, 100469, 100483, 100493, 100501, 100511, 100517, 100519, 100523, 100537, 100547, 100549, 100559, 100591, 100609, 100613, 100621, 100649, 100669, 100673, 100693, 100699, 100703, 100733, 100741, 100747, 100769, 100787, 100799, 100801, 100811, 100823, 100829, 100847, 100853, 100907, 100913, 100927, 100931, 100937, 100943, 100957, 100981, 100987, 100999, 101009, 101021, 101027, 101051, 101063, 101081, 101089, 101107, 101111, 101113, 101117, 101119, 101141, 101149, 101159, 101161, 101173, 101183, 101197, 101203, 101207, 101209, 101221, 101267, 101273, 101279, 101281, 101287, 101293, 101323, 101333, 101341, 101347, 101359, 101363, 101377, 101383, 101399, 101411, 101419, 101429, 101449, 101467, 101477, 101483, 101489, 101501, 101503, 101513, 101527, 101531, 101533, 101537, 101561, 101573, 101581, 101599, 101603, 101611, 101627, 101641, 101653, 101663, 101681, 101693, 101701, 101719, 101723, 101737, 101741, 101747, 101749, 101771, 101789, 101797, 101807, 101833, 101837, 101839, 101863, 101869, 101873, 101879, 101891, 101917, 101921, 101929, 101939, 101957, 101963, 101977, 101987, 101999, 102001, 102013, 102019, 102023, 102031, 102043, 102059, 102061, 102071, 102077, 102079, 102101, 102103, 102107, 102121, 102139, 102149, 102161, 102181, 102191, 102197, 102199, 102203, 102217, 102229, 102233, 102241, 102251, 102253, 102259, 102293, 102299, 102301, 102317, 102329, 102337, 102359, 102367, 102397, 102407, 102409, 102433, 102437, 102451, 102461, 102481, 102497, 102499, 102503, 102523, 102533, 102539, 102547, 102551, 102559, 102563, 102587, 102593, 102607, 102611, 102643, 102647, 102653, 102667, 102673, 102677, 102679, 102701, 102761, 102763, 102769, 102793, 102797, 102811, 102829, 102841, 102859, 102871, 102877, 102881, 102911, 102913, 102929, 102931, 102953, 102967, 102983, 103001, 103007, 103043, 103049, 103067, 103069, 103079, 103087, 103091, 103093, 103099, 103123, 103141, 103171, 103177, 103183, 103217, 103231, 103237, 103289, 103291, 103307, 103319, 103333, 103349, 103357, 103387, 103391, 103393, 103399, 103409, 103421, 103423, 103451, 103457, 103471, 103483, 103511, 103529, 103549, 103553, 103561, 103567, 103573, 103577, 103583, 103591, 103613, 103619, 103643, 103651, 103657, 103669, 103681, 103687, 103699, 103703, 103723, 103769, 103787, 103801, 103811, 103813, 103837, 103841, 103843, 103867, 103889, 103903, 103913, 103919, 103951, 103963, 103967, 103969, 103979, 103981, 103991, 103993, 103997, 104003, 104009, 104021, 104033, 104047, 104053, 104059, 104087, 104089, 104107, 104113, 104119, 104123, 104147, 104149, 104161, 104173, 104179, 104183, 104207, 104231, 104233, 104239, 104243, 104281, 104287, 104297, 104309, 104311, 104323, 104327, 104347, 104369, 104381, 104383, 104393, 104399, 104417, 104459, 104471, 104473, 104479, 104491, 104513, 104527, 104537, 104543, 104549, 104551, 104561, 104579, 104593, 104597, 104623, 104639, 104651, 104659, 104677, 104681, 104683, 104693, 104701, 104707, 104711, 104717, 104723, 104729, PASS (test prime_generator :time 0.03 :before-memory 34.09 :after-memory 34.09) 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, 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103177, 103183, 103217, 103231, 103237, 103289, 103291, 103307, 103319, 103333, 103349, 103357, 103387, 103391, 103393, 103399, 103409, 103421, 103423, 103451, 103457, 103471, 103483, 103511, 103529, 103549, 103553, 103561, 103567, 103573, 103577, 103583, 103591, 103613, 103619, 103643, 103651, 103657, 103669, 103681, 103687, 103699, 103703, 103723, 103769, 103787, 103801, 103811, 103813, 103837, 103841, 103843, 103867, 103889, 103903, 103913, 103919, 103951, 103963, 103967, 103969, 103979, 103981, 103991, 103993, 103997, 104003, 104009, 104021, 104033, 104047, 104053, 104059, 104087, 104089, 104107, 104113, 104119, 104123, 104147, 104149, 104161, 104173, 104179, 104183, 104207, 104231, 104233, 104239, 104243, 104281, 104287, 104297, 104309, 104311, 104323, 104327, 104347, 104369, 104381, 104383, 104393, 104399, 104417, 104459, 104471, 104473, 104479, 104491, 104513, 104527, 104537, 104543, 104549, 104551, 104561, 104579, 104593, 104597, 104623, 104639, 104651, 104659, 104677, 104681, 104683, 104693, 104701, 104707, 104711, 104717, 104723, 104729, PASS (test prime_generator :time 0.03 :before-memory 34.09 :after-memory 34.09) PASS (test permutation :time 0.00 :before-memory 34.09 :after-memory 34.09) PASS (test permutation :time 0.00 :before-memory 34.09 :after-memory 34.09) Project (polynomial-factorization :distinct-factors 1) (or !(x1 = 0) !(4 x1 + x0^2 > 0) !(x2 - x0 > 0) !(x2^2 - x0 x2 - x1 = 0)) Project (or - x1 + 4 x0^2 < 0 !(x2^2 - 2 x0 x2 - x1 + x0^2 < 0) !(x2 + x0 = 0)) ------------------ PASS (test nlsat :time 0.00 :before-memory 34.09 :after-memory 34.09) Project (polynomial-factorization :distinct-factors 1) (or !(x1 = 0) !(4 x1 + x0^2 > 0) !(x2 - x0 > 0) !(x2^2 - x0 x2 - x1 = 0)) Project (or - x1 + 4 x0^2 < 0 !(x2^2 - 2 x0 x2 - x1 + x0^2 < 0) !(x2 + x0 = 0)) ------------------ PASS (test nlsat :time 0.00 :before-memory 34.09 :after-memory 34.09) PASS (test zstring :time 0.00 :before-memory 34.09 :after-memory 34.09) PASS (test zstring :time 0.00 :before-memory 34.09 :after-memory 34.09) >>> z3: Entering fakeroot... -- Install configuration: "MinSizeRel" -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/libz3.so.4.13.0.0 -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/libz3.so.4.13 -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/libz3.so -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/include/z3_algebraic.h -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/include/z3_api.h -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/include/z3_ast_containers.h -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/include/z3_fixedpoint.h -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/include/z3_fpa.h -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/include/z3.h -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/include/z3++.h -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/include/z3_macros.h -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/include/z3_optimization.h -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/include/z3_polynomial.h -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/include/z3_rcf.h -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/include/z3_v1.h -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/include/z3_spacer.h -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/include/z3_version.h -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/bin/z3 -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/python3.12/site-packages/z3/__init__.py -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/python3.12/site-packages/z3/z3.py -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/python3.12/site-packages/z3/z3num.py -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/python3.12/site-packages/z3/z3poly.py -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/python3.12/site-packages/z3/z3printer.py -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/python3.12/site-packages/z3/z3rcf.py -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/python3.12/site-packages/z3/z3test.py -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/python3.12/site-packages/z3/z3types.py -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/python3.12/site-packages/z3/z3util.py -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/python3.12/site-packages/z3/z3core.py -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/python3.12/site-packages/z3/z3consts.py -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/cmake/z3/Z3Targets.cmake -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/cmake/z3/Z3Targets-minsizerel.cmake -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/cmake/z3/Z3Config.cmake -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/cmake/z3/Z3ConfigVersion.cmake -- Installing: /home/buildozer/aports/community/z3/pkg/z3/usr/lib/pkgconfig/z3.pc >>> z3-dev*: Running split function dev... >>> z3-dev*: Preparing subpackage z3-dev... >>> z3-dev*: Stripping binaries >>> z3-dev*: Running postcheck for z3-dev >>> py3-z3*: Running split function py3... '/home/buildozer/aports/community/z3/pkg/z3/usr/lib/python3.12' -> '/home/buildozer/aports/community/z3/pkg/py3-z3/usr/lib/python3.12' >>> py3-z3*: Preparing subpackage py3-z3... >>> py3-z3*: Running postcheck for py3-z3 >>> z3*: Running postcheck for z3 >>> z3*: Preparing package z3... >>> z3*: Stripping binaries >>> py3-z3*: Scanning shared objects >>> z3-dev*: Scanning shared objects >>> z3*: Scanning shared objects >>> py3-z3*: Tracing dependencies... python3 python3~3.12 >>> py3-z3*: Package size: 664.0 KB >>> py3-z3*: Compressing data... >>> py3-z3*: Create checksum... >>> py3-z3*: Create py3-z3-4.13.0-r1.apk >>> z3-dev*: Tracing dependencies... pkgconfig z3=4.13.0-r1 >>> z3-dev*: Package size: 636.0 KB >>> z3-dev*: Compressing data... >>> z3-dev*: Create checksum... >>> z3-dev*: Create z3-dev-4.13.0-r1.apk >>> z3*: Tracing dependencies... so:libc.musl-aarch64.so.1 so:libgcc_s.so.1 so:libstdc++.so.6 >>> z3*: Package size: 29.3 MB >>> z3*: Compressing data... >>> z3*: Create checksum... >>> z3*: Create z3-4.13.0-r1.apk >>> z3: Build complete at Sat, 27 Apr 2024 11:32:37 +0000 elapsed time 0h 2m 30s >>> z3: Cleaning up srcdir >>> z3: Cleaning up pkgdir >>> z3: Uninstalling dependencies... (1/18) Purging .makedepends-z3 (20240427.113009) (2/18) Purging cmake (3.29.2-r1) (3/18) Purging python3-pyc (3.12.3-r1) (4/18) Purging python3-pycache-pyc0 (3.12.3-r1) (5/18) Purging pyc (3.12.3-r1) (6/18) Purging python3 (3.12.3-r1) (7/18) Purging samurai (1.2-r5) (8/18) Purging gdbm (1.23-r1) (9/18) Purging libarchive (3.7.3-r0) (10/18) Purging libbz2 (1.0.8-r6) (11/18) Purging libffi (3.4.6-r0) (12/18) Purging libpanelw (6.4_p20240330-r0) (13/18) Purging libuv (1.48.0-r0) (14/18) Purging mpdecimal (4.0.0-r0) (15/18) Purging readline (8.2.10-r0) (16/18) Purging rhash-libs (1.4.4-r0) (17/18) Purging sqlite-libs (3.45.3-r0) (18/18) Purging xz-libs (5.6.1-r3) Executing busybox-1.36.1-r26.trigger OK: 473 MiB in 107 packages >>> z3: Updating the community/aarch64 repository index... >>> z3: Signing the index...