diff --git a/coverage-steps.log b/coverage-steps.log new file mode 100644 index 000000000..76de899f3 --- /dev/null +++ b/coverage-steps.log @@ -0,0 +1,25904 @@ +Setting up dependencies for coverage build +Dependencies installed successfully +Configuring Z3 build with coverage instrumentation +Z3 configured successfully with coverage instrumentation +Building Z3 with coverage instrumentation +Z3 built and installed successfully +Building test-z3 executable +test-z3 built successfully +Building Z3 examples for additional coverage +Examples build completed +Cloning z3test repository for regression testing +z3test repository cloned successfully +Running Z3 unit tests +PASS +(test random :time 0.00 :before-memory 0.00 :after-memory 0.00) +PASS +(test random :time 0.00 :before-memory 0.00 :after-memory 0.00) +PASS +(test symbol_table :time 0.00 :before-memory 0.00 :after-memory 0.00) +PASS +(test symbol_table :time 0.00 :before-memory 0.00 :after-memory 0.00) +PASS +(test region :time 0.00 :before-memory 0.00 :after-memory 0.00) +PASS +(test region :time 0.00 :before-memory 0.00 :after-memory 0.00) +foo boo foo +PASS +(test symbol :time 0.00 :before-memory 0.00 :after-memory 0.00) +foo boo foo +PASS +(test symbol :time 0.00 :before-memory 0.00 :after-memory 0.00) +i: 0 +i: 0 +i: 0 +PASS +(test heap :time 0.03 :before-memory 0.00 :after-memory 0.00) +i: 0 +i: 0 +i: 0 +PASS +(test heap :time 0.03 :before-memory 0.00 :after-memory 0.00) +PASS +(test hashtable :time 0.00 :before-memory 0.00 :after-memory 0.00) +PASS +(test hashtable :time 0.00 :before-memory 0.00 :after-memory 0.00) +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 6.80 :before-memory 0.38 :after-memory 31.16) +(multiplication with floats: :time 0.00 :before-memory 31.16 :after-memory 31.16) + +Testing multiplication performance using small ints +(multiplication with rationals :time 0.13 :before-memory 68.10 :after-memory 68.10) +(multiplication with floats: :time 0.02 :before-memory 68.10 :after-memory 68.10) + +Testing multiplication performance using small rationals +(multiplication with rationals :time 0.65 :before-memory 68.10 :after-memory 68.10) +(multiplication with floats: :time 0.02 :before-memory 68.10 :after-memory 68.10) + +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 8.83 :before-memory 0.00 :after-memory 0.00) +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 6.87 :before-memory 0.38 :after-memory 31.15) +(multiplication with floats: :time 0.00 :before-memory 31.15 :after-memory 31.15) + +Testing multiplication performance using small ints +(multiplication with rationals :time 0.13 :before-memory 68.10 :after-memory 68.10) +(multiplication with floats: :time 0.02 :before-memory 68.10 :after-memory 68.10) + +Testing multiplication performance using small rationals +(multiplication with rationals :time 0.65 :before-memory 68.10 :after-memory 68.10) +(multiplication with floats: :time 0.02 :before-memory 68.10 :after-memory 68.10) + +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 8.91 :before-memory 0.00 :after-memory 0.01) +PASS +(test inf_rational :time 0.00 :before-memory 0.01 :after-memory 0.01) +PASS +(test inf_rational :time 0.00 :before-memory 0.01 :after-memory 0.01) +PASS +(test ast :time 0.01 :before-memory 0.01 :after-memory 0.01) +PASS +(test ast :time 0.01 :before-memory 0.01 :after-memory 0.01) +PASS +(test optional :time 0.00 :before-memory 0.01 :after-memory 0.01) +PASS +(test optional :time 0.00 :before-memory 0.01 :after-memory 0.01) +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 0.01 :after-memory 0.01) +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 0.01 :after-memory 0.01) +0000010000 +0100001110 +0100011110 +PASS +(test fixed_bit_vector :time 0.00 :before-memory 0.01 :after-memory 0.01) +0000010000 +0100001110 +0100011110 +PASS +(test fixed_bit_vector :time 0.00 :before-memory 0.01 :after-memory 0.01) +[] +[] +[] +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 0.01 :after-memory 0.01) +[] +[] +[] +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 0.01 :after-memory 0.01) +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 35.65 :before-memory 0.01 :after-memory 0.03) +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 35.69 :before-memory 0.03 :after-memory 0.03) +{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 14.20 :before-memory 0.03 :after-memory 0.05) +{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 14.15 :before-memory 0.05 :after-memory 0.05) +PASS +(test string_buffer :time 0.00 :before-memory 0.05 :after-memory 0.05) +PASS +(test string_buffer :time 0.00 :before-memory 0.05 :after-memory 0.05) +PASS +(test map :time 0.00 :before-memory 0.05 :after-memory 0.05) +PASS +(test map :time 0.00 :before-memory 0.05 :after-memory 0.05) +PASS +(test diff_logic :time 0.00 :before-memory 0.05 :after-memory 0.05) +PASS +(test diff_logic :time 0.00 :before-memory 0.05 :after-memory 0.05) +0 +2 +6 +8198 +{1, 2, 44} : 1 +{1, 2, 4, 44} : 3 +PASS +(test uint_set :time 0.13 :before-memory 0.05 :after-memory 0.05) +0 +2 +6 +8198 +{1, 2, 44} : 1 +{1, 2, 4, 44} : 3 +PASS +(test uint_set :time 0.12 :before-memory 0.05 :after-memory 0.05) +PASS +(test list :time 0.00 :before-memory 0.05 :after-memory 0.05) +PASS +(test list :time 0.00 :before-memory 0.05 :after-memory 0.05) +PASS +(test small_object_allocator :time 0.00 :before-memory 0.05 :after-memory 0.05) +PASS +(test small_object_allocator :time 0.00 :before-memory 0.05 :after-memory 0.05) +PASS +(test timeout :time 0.00 :before-memory 0.05 :after-memory 0.05) +PASS +(test timeout :time 0.00 :before-memory 0.05 :after-memory 0.05) +[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 0.05 :after-memory 0.05) +[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 0.05 :after-memory 0.05) +(exists ((x Real)) (! (and (= (+ x 1.0) xp) (>= (+ x y) 0.0)) :weight 0)) +(>= (+ xp y) 1.0) +PASS +(test simplifier :time 0.03 :before-memory 0.05 :after-memory 16.32) +(exists ((x Real)) (! (and (= (+ x 1.0) xp) (>= (+ x y) 0.0)) :weight 0)) +(>= (+ xp y) 1.0) +PASS +(test simplifier :time 0.03 :before-memory 16.32 :after-memory 32.63) +PASS +(test bit_blaster :time 0.01 :before-memory 32.63 :after-memory 32.70) +PASS +(test bit_blaster :time 0.01 :before-memory 32.70 :after-memory 32.70) +(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 0.01 :before-memory 32.70 :after-memory 32.70) +(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 0.01 :before-memory 32.70 :after-memory 32.70) +WARNING: parser error +WARNING: parser error +WARNING: parser error +PASS +(test simple_parser :time 0.00 :before-memory 32.70 :after-memory 32.70) +WARNING: parser error +WARNING: parser error +WARNING: parser error +PASS +(test simple_parser :time 0.00 :before-memory 32.70 :after-memory 32.70) +1 +1 +1 +1 +PASS +(test api :time 0.03 :before-memory 32.70 :after-memory 32.74) +1 +1 +1 +1 +PASS +(test api :time 0.02 :before-memory 32.74 :after-memory 32.74) +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 0.01 :before-memory 32.74 :after-memory 32.72) +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 0.01 :before-memory 32.72 :after-memory 32.72) +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 32.72 :after-memory 32.72) +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 32.72 :after-memory 32.72) +Class a |-> 0 +Class b |-> 0 +Class c |-> 2 +Class d |-> 0 +Class (f a) |-> 4 +Class (f b) |-> 4 +Class (f c) |-> 6 +asserting b <= f(a) +Class a |-> 0 +Class b |-> 0 +Class c |-> 2 +Class d |-> 0 +Class (f a) |-> 0 +Class (f b) |-> 0 +Class (f c) |-> 0 +Class ((as const (Array Int Int)) 1) |-> 0 +Class (store ((as const (Array Int Int)) 1) 1 a) |-> 1 +Class (store (store ((as const (Array Int Int)) 1) 1 a) 2 b) |-> 2 +Class (store ((as const (Array Int Int)) 1) 2 b) |-> 3 +Class (store (store ((as const (Array Int Int)) 1) 2 b) 1 a) |-> 2 +PASS +(test get_implied_equalities :time 0.03 :before-memory 32.72 :after-memory 32.74) +Class a |-> 0 +Class b |-> 0 +Class c |-> 2 +Class d |-> 0 +Class (f a) |-> 4 +Class (f b) |-> 4 +Class (f c) |-> 6 +asserting b <= f(a) +Class a |-> 0 +Class b |-> 0 +Class c |-> 2 +Class d |-> 0 +Class (f a) |-> 0 +Class (f b) |-> 0 +Class (f c) |-> 0 +Class ((as const (Array Int Int)) 1) |-> 0 +Class (store ((as const (Array Int Int)) 1) 1 a) |-> 1 +Class (store (store ((as const (Array Int Int)) 1) 1 a) 2 b) |-> 2 +Class (store ((as const (Array Int Int)) 1) 2 b) |-> 3 +Class (store (store ((as const (Array Int Int)) 1) 2 b) 1 a) |-> 2 +PASS +(test get_implied_equalities :time 0.03 :before-memory 32.74 :after-memory 32.74) +not solved + 1 3 0 0 +PASS +(test arith_simplifier_plugin :time 0.00 :before-memory 32.74 :after-memory 32.72) +not solved + 1 3 0 0 +PASS +(test arith_simplifier_plugin :time 0.00 :before-memory 32.72 :after-memory 32.72) +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 0.01 :before-memory 32.72 :after-memory 32.72) +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 0.01 :before-memory 32.72 :after-memory 32.72) +PASS +(test object_allocator :time 0.13 :before-memory 32.72 :after-memory 32.72) +PASS +(test object_allocator :time 0.12 :before-memory 32.72 :after-memory 32.72) +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: 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-371567976249870618929142736391847131455977187703423110783345762658310156543196901759454908249614693275405574152595340203289783397815779453727496845529286907340697958129063261225 +b: -31083328029269937083066261100223836587803810027279124083427918206588815127925333231505418078385336427406340264645110993520631386825285186833229975774415328057398140305843453053079031952740 +g1: 11034914308430244615314878417607382290916211850998565994416732245 +g2: 11034914308430244615314878417607382290916211850998565994416732245 + +a: 7066110684390952456916626518811883416127339712441988048443571673827451171269204485134032456805832052638661262800802701773280866022689156009793945697942386911348503990136239 +b: 3755001110190229262374433854777410520392130065360180423683941139827484325396974328201764061592466181628621510112993796708111674033520460998215391640375413022035385455306600654045619169893305207163890497035105037885678584045509634524689296968794625728182647 +g1: 1035439824674085131032840654547143944103080279051990362891 +g2: 1035439824674085131032840654547143944103080279051990362891 + +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 0.09 :before-memory 32.72 :after-memory 32.72) +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 32.72 :after-memory 32.72) +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 32.72 :after-memory 32.72) +PASS +(test mpf :time 0.00 :before-memory 32.72 :after-memory 32.72) +PASS +(test mpf :time 0.00 :before-memory 32.72 :after-memory 32.72) +**************************************************************************************************** +1 3 2 +**************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************** +**************************************************************************************************** +**************************************************************************************************** +**************************************************************************************************** +**************************************************************************************************** +**************************************************************************************************** +PASS +(test total_order :time 35.88 :before-memory 32.72 :after-memory 32.72) +**************************************************************************************************** +1 3 2 +**************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************************** +**************************************************************************************************** +**************************************************************************************************** +**************************************************************************************************** +**************************************************************************************************** +**************************************************************************************************** +PASS +(test total_order :time 35.87 :before-memory 32.72 :after-memory 32.72) +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 0.97 :before-memory 32.72 :after-memory 32.72) +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 0.98 :before-memory 32.72 :after-memory 32.72) +PASS +(test dl_context :time 0.00 :before-memory 32.72 :after-memory 32.72) +PASS +(test dl_context :time 0.00 :before-memory 32.72 :after-memory 32.72) +test_prev passed. +test_next passed. +test_const_prev passed. +test_const_next passed. +test_init passed. +test_pop passed. +test_insert_after passed. +test_insert_before passed. +test_push_to_front passed. +test_detach passed. +test_invariant passed. +test_contains passed. +All tests passed. +PASS +(test dlist :time 0.00 :before-memory 32.72 :after-memory 32.72) +test_prev passed. +test_next passed. +test_const_prev passed. +test_const_next passed. +test_init passed. +test_pop passed. +test_insert_after passed. +test_insert_before passed. +test_push_to_front passed. +test_detach passed. +test_invariant passed. +test_contains passed. +All tests passed. +PASS +(test dlist :time 0.00 :before-memory 32.72 :after-memory 32.72) +PASS +(test dl_util :time 0.00 :before-memory 32.72 :after-memory 32.72) +PASS +(test dl_util :time 0.00 :before-memory 32.72 :after-memory 32.72) +PASS +(test dl_product_relation :time 0.00 :before-memory 32.72 :after-memory 32.72) +PASS +(test dl_product_relation :time 0.00 :before-memory 32.72 :after-memory 32.72) +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 32.72 :after-memory 32.72) +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 32.72 :after-memory 32.72) +max. heap size: 85.4476 Mbytes +max. heap size: 85.4476 Mbytes +PASS +(test parray :time 0.90 :before-memory 32.72 :after-memory 32.72) +max. heap size: 85.4476 Mbytes +max. heap size: 85.4476 Mbytes +PASS +(test parray :time 0.90 :before-memory 32.72 :after-memory 32.72) +PASS +(test stack :time 0.26 :before-memory 32.72 :after-memory 32.72) +PASS +(test stack :time 0.27 :before-memory 32.72 :after-memory 32.72) +[\"hello\"\"world\" + +] +[\"hello\" +world\"] +[\"hello\" +world\"] +[\"hello\" +world\"] +[\"hello\" +\"world\" + +] +[] +[ + + +] +[] +[ +] +[] +[] +[] +[] +PASS +(test escaped :time 0.00 :before-memory 32.72 :after-memory 32.72) +[\"hello\"\"world\" + +] +[\"hello\" +world\"] +[\"hello\" +world\"] +[\"hello\" +world\"] +[\"hello\" +\"world\" + +] +[] +[ + + +] +[] +[ +] +[] +[] +[] +[] +PASS +(test escaped :time 0.00 :before-memory 32.72 :after-memory 32.72) +PASS +(test buffer :time 0.00 :before-memory 32.72 :after-memory 32.72) +PASS +(test buffer :time 0.00 :before-memory 32.72 :after-memory 32.72) +10 20 30 +12 10 +12 10 13 +14 12 10 13 +18 10 14 16 13 +18 14 16 13 +size: 9 9 +size: 7 7 +size: 662 662 +PASS +(test chashtable :time 0.11 :before-memory 32.72 :after-memory 32.72) +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: 8 8 +size: 675 675 +PASS +(test chashtable :time 0.11 :before-memory 32.72 :after-memory 32.72) +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 0.017 +PASS +(test egraph :time 0.08 :before-memory 32.72 :after-memory 32.73) +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 0.017 +PASS +(test egraph :time 0.08 :before-memory 32.73 :after-memory 32.73) +testing exception +Format 12 twelve +PASS +(test ex :time 0.00 :before-memory 32.73 :after-memory 32.73) +testing exception +Format 12 twelve +PASS +(test ex :time 0.00 :before-memory 32.73 :after-memory 32.73) +PASS +(test nlarith_util :time 0.19 :before-memory 32.73 :after-memory 32.73) +PASS +(test nlarith_util :time 0.19 :before-memory 32.73 :after-memory 32.73) +Using Z3 Version 4.15 (build 4, 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 32.73 :after-memory 32.75) +Using Z3 Version 4.15 (build 4, 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 32.75 :after-memory 32.75) +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 0.01 :before-memory 32.75 :after-memory 32.75) +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 0.01 :before-memory 32.75 :after-memory 32.75) +PASS +(test check_assumptions :time 0.01 :before-memory 32.75 :after-memory 32.75) +PASS +(test check_assumptions :time 0.01 :before-memory 32.75 :after-memory 32.75) +PASS +(test smt_context :time 0.01 :before-memory 32.75 :after-memory 32.75) +PASS +(test smt_context :time 0.01 :before-memory 32.75 :after-memory 32.75) +b -> 63 +a -> 47 +b -> 2 +a -> 0 +c -> 47 +l_false +PASS +(test theory_dl :time 0.41 :before-memory 32.75 :after-memory 32.75) +b -> 63 +a -> 47 +b -> 2 +a -> 0 +c -> 47 +l_false +PASS +(test theory_dl :time 0.41 :before-memory 32.75 :after-memory 32.75) +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 +j0 = 1 [1, 1] +j1 = 1 [1, 1] +j2 = 0 [0, 0] +j3 = 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 +j0 = 1 [1, 1] +j1 = 1 [1, 1] +j2 = 0 [0, 0] +j3 = 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 0.01 :before-memory 32.75 :after-memory 32.75) +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 +j0 = 1 [1, 1] +j1 = 1 [1, 1] +j2 = 0 [0, 0] +j3 = 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 +j0 = 1 [1, 1] +j1 = 1 [1, 1] +j2 = 0 [0, 0] +j3 = 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 0.01 :before-memory 32.75 :after-memory 32.75) +((((4* v1 + 3* v2) + 5* v3) + 8) / 7) +((((2* v3 + 2* v4) + 5) / 3) / 3) +((((4* v1 + (((((2* v3 + 2* v4) + 5) / 3) / 3) * 3)) + 5* v3) + 8) / 7) +PASS +(test model_based_opt :time 0.00 :before-memory 32.75 :after-memory 32.75) +((((4* v1 + 3* v2) + 5* v3) + 8) / 7) +((((2* v3 + 2* v4) + 5) / 3) / 3) +((((4* v1 + (((((2* v3 + 2* v4) + 5) / 3) / 3) * 3)) + 5* v3) + 8) / 7) +PASS +(test model_based_opt :time 0.00 :before-memory 32.75 :after-memory 32.75) +(<= 0.0 (* 2.0 z z)) -> (or (= 0.0 (- 2.0)) (= 0.0 z) (< (- 2.0) 0.0)) +PASS +(test factor_rewriter :time 0.01 :before-memory 32.75 :after-memory 32.75) +(<= 0.0 (* 2.0 z z)) -> (or (= 0.0 (- 2.0)) (= 0.0 z) (< (- 2.0) 0.0)) +PASS +(test factor_rewriter :time 0.01 :before-memory 32.75 :after-memory 32.75) +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 0.09 :before-memory 32.75 :after-memory 32.77) +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 0.09 :before-memory 32.77 :after-memory 32.77) +VAR 0:0 --> 0 +(:var 1) +PASS +(test substitution :time 0.01 :before-memory 32.77 :after-memory 32.75) +VAR 0:0 --> 0 +(:var 1) +PASS +(test substitution :time 0.01 :before-memory 32.75 :after-memory 32.75) +PASS +(test polynomial :time 0.00 :before-memory 32.75 :after-memory 32.75) +PASS +(test polynomial :time 0.00 :before-memory 32.75 :after-memory 32.75) +test_factorization_basic +test_factorization_irreducible +test_factorization_cubic +test_factorization_repeated_factors +test_factorization_constant +test_factorization_zero +test_factorization_gcd +PASS +(test polynomial_factorization :time 0.00 :before-memory 32.75 :after-memory 32.75) +test_factorization_basic +test_factorization_irreducible +test_factorization_cubic +test_factorization_repeated_factors +test_factorization_constant +test_factorization_zero +test_factorization_gcd +PASS +(test polynomial_factorization :time 0.00 :before-memory 32.75 :after-memory 32.75) + + +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 0.04 :before-memory 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.85) +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 0.04 :before-memory 32.85 :after-memory 32.85) + +isolating roots of: x^2 - 3 x + 2 +(isolate time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +square free part: x^2 - 3 x + 2 +(sqf time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +num. roots: 2 +sign var(-oo): 2 +sign var(+oo): 0 +roots: 2 +intervals: (0, 2)(interval check :time 0.00 :before-memory 32.76 :after-memory 32.76) + +isolating roots of: x^5 - 2 x^4 + x^3 +(isolate time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +square free part: x^2 - x +(sqf time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +num. roots: 2 +sign var(-oo): 2 +sign var(+oo): 0 +roots: 0 +intervals: (0, 4)(interval check :time 0.00 :before-memory 32.76 :after-memory 32.76) + +isolating roots of: x^5 - x - 1 +(isolate time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +square free part: x^5 - x - 1 +(sqf time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +num. roots: 1 +sign var(-oo): 2 +sign var(+oo): 1 +roots: +intervals: (0, 4)(interval check :time 0.00 :before-memory 32.76 :after-memory 32.76) + +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 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18 +(sqf time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +isolating roots of: 100000000 x^2 - 630000 x + 992 +(isolate time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +square free part: 100000000 x^2 - 630000 x + 992 +(sqf time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 +(isolate time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 +(sqf time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +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 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +isolating roots of: 32768 x^11 - 4160512 x^10 + 174665408 x^9 - 3092100952 x^8 + 24729859214 x^7 - 89699170501 x^6 + 140975222734 x^5 - 87882836696 x^4 + 23405003968 x^3 - 2729126912 x^2 + 132087808 x - 2097152 +(isolate time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +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 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +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 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +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 32.76 :after-memory 32.76) +(sturm time :time 0.01 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 0.01 :before-memory 32.76 :after-memory 32.76) + +isolating roots of: 900 x^19 - 6000113760 x^18 + 10000758403594816 x^17 - 1264023965440000000 x^16 + 39942400000000000000 x^15 - 2700000000000 x^14 + 18000341280000000000 x^13 - 30002275210784448000000000 x^12 + 3792071896320000000000000000 x^11 - 119827200000000000000000000000 x^10 + 2700000000000000000000 x^9 - 18000341280000000000000000000 x^8 + 30002275210784448000000000000000000 x^7 - 3792071896320000000000000000000000000 x^6 + 119827200000000000000000000000000000000 x^5 - 900000000000000000000000000000 x^4 + 6000113760000000000000000000000000000 x^3 - 10000758403594816000000000000000000000000000 x^2 + 1264023965440000000000000000000000000000000000 x - 39942400000000000000000000000000000000000000000 +(isolate time :time 0.01 :before-memory 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +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 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +square free part: x^2 - 3 x + 2 +(sqf time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +num. roots: 2 +sign var(-oo): 2 +sign var(+oo): 0 +roots: 2 +intervals: (0, 2)(interval check :time 0.00 :before-memory 32.76 :after-memory 32.76) + +isolating roots of: x^5 - 2 x^4 + x^3 +(isolate time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +square free part: x^2 - x +(sqf time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +num. roots: 2 +sign var(-oo): 2 +sign var(+oo): 0 +roots: 0 +intervals: (0, 4)(interval check :time 0.00 :before-memory 32.76 :after-memory 32.76) + +isolating roots of: x^5 - x - 1 +(isolate time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +square free part: x^5 - x - 1 +(sqf time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +num. roots: 1 +sign var(-oo): 2 +sign var(+oo): 1 +roots: +intervals: (0, 4)(interval check :time 0.00 :before-memory 32.76 :after-memory 32.76) + +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 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18 +(sqf time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +isolating roots of: 100000000 x^2 - 630000 x + 992 +(isolate time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +square free part: 100000000 x^2 - 630000 x + 992 +(sqf time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 +(isolate time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 +(sqf time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +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 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +isolating roots of: 32768 x^11 - 4160512 x^10 + 174665408 x^9 - 3092100952 x^8 + 24729859214 x^7 - 89699170501 x^6 + 140975222734 x^5 - 87882836696 x^4 + 23405003968 x^3 - 2729126912 x^2 + 132087808 x - 2097152 +(isolate time :time 0.00 :before-memory 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +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 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +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 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +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 32.76 :after-memory 32.76) +(sturm time :time 0.01 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 0.01 :before-memory 32.76 :after-memory 32.76) + +isolating roots of: 900 x^19 - 6000113760 x^18 + 10000758403594816 x^17 - 1264023965440000000 x^16 + 39942400000000000000 x^15 - 2700000000000 x^14 + 18000341280000000000 x^13 - 30002275210784448000000000 x^12 + 3792071896320000000000000000 x^11 - 119827200000000000000000000000 x^10 + 2700000000000000000000 x^9 - 18000341280000000000000000000 x^8 + 30002275210784448000000000000000000 x^7 - 3792071896320000000000000000000000000 x^6 + 119827200000000000000000000000000000000 x^5 - 900000000000000000000000000000 x^4 + 6000113760000000000000000000000000000 x^3 - 10000758403594816000000000000000000000000000 x^2 + 1264023965440000000000000000000000000000000000 x - 39942400000000000000000000000000000000000000000 +(isolate time :time 0.01 :before-memory 32.76 :after-memory 32.76) +(sturm time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) +(fourier time :time 0.00 :before-memory 32.76 :after-memory 32.76) +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 32.76 :after-memory 32.76) + +p: x0^5 + 2 x0^4 - 10 x0^3 - 20 x0^2 + 9 x0 + 18 +q: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18 +degree(q): 5 +expanded q: 18 9 -20 -10 2 1 +new q: 2 x^5 + 3 x^4 - 9 x^3 - 19 x^2 + 10 x + 19 +new q^2: 4 x^10 + 12 x^9 - 27 x^8 - 130 x^7 + 7 x^6 + 478 x^5 + 295 x^4 - 722 x^3 - 622 x^2 + 380 x + 361 +new (q^2)^3: 64 x^30 + 576 x^29 + 432 x^28 - 12288 x^27 - 40020 x^26 + 79284 x^25 + 586149 x^24 + 235698 x^23 - 4140627 x^22 - 6895030 x^21 + 15251184 x^20 + 49873788 x^19 - 16794929 x^18 - 201145074 x^17 - 108039945 x^16 + 499210576 x^15 + 614825733 x^14 - 724261014 x^13 - 1616514344 x^12 + 376952670 x^11 + 2580727584 x^10 + 671496040 x^9 - 2571049230 x^8 - 1605401010 x^7 + 1474343885 x^6 + 1530682218 x^5 - 329384703 x^4 - 739359046 x^3 - 86793786 x^2 + 148565940 x + 47045881 + + +Testing Z_p +GCD in Z[x] +_p: x^4 + 2 x^3 + 2 x^2 + x +_q: x^3 + x + 1 +gcd: 1 +_p: x^4 + 2 x^3 + 2 x^2 + x +_q: x^3 + x + 1 +subresultant_gcd: 1 +GCD in Z_3[x] +_p: x^4 - x^3 - x^2 + x +_q: x^3 + x + 1 +gcd: x - 1 +_p: x^4 - x^3 - x^2 + x +_q: x^3 + x + 1 +subresultant_gcd: x - 1 + + +Testing Z_p +GCD in Z[x] +_p: x^8 + x^6 + 10 x^4 + 10 x^3 + 8 x^2 + 2 x + 8 +_q: x^6 + 5 x^5 + 9 x^4 + 5 x^2 + 5 x +gcd: 1 +_p: x^8 + x^6 + 10 x^4 + 10 x^3 + 8 x^2 + 2 x + 8 +_q: x^6 + 5 x^5 + 9 x^4 + 5 x^2 + 5 x +subresultant_gcd: 1 +GCD in Z_13[x] +_p: x^8 + x^6 - 3 x^4 - 3 x^3 - 5 x^2 + 2 x - 5 +_q: x^6 + 5 x^5 - 4 x^4 + 5 x^2 + 5 x +gcd: x^5 + 5 x^4 - 4 x^3 + 5 x + 5 +_p: x^8 + x^6 - 3 x^4 - 3 x^3 - 5 x^2 + 2 x - 5 +_q: x^6 + 5 x^5 - 4 x^4 + 5 x^2 + 5 x +subresultant_gcd: x^5 + 5 x^4 - 4 x^3 + 5 x + 5 + +Extended GCD +GCD in Z_13[x] +A: x^6 + 5 x^5 - 4 x^4 + 5 x^2 + 5 x +B: x^8 + x^6 - 3 x^4 - 3 x^3 - 5 x^2 + 2 x - 5 +U: x^2 - 5 x + 4 +V: -1 +D: x^5 + 5 x^4 - 4 x^3 + 5 x + 5 + +Extended GCD in Z_7 +GCD in Z_7[x] +A: x^3 + 2 +B: -1 x^2 - 1 +U: 3 x - 1 +V: 3 x^2 - x - 3 +D: 1 +PASS +(test upolynomial :time 3.66 :before-memory 32.75 :after-memory 32.76) + + +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 0.04 :before-memory 32.79 :after-memory 32.79) +(sturm time :time 0.00 :before-memory 32.79 :after-memory 32.79) +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 32.79 :after-memory 32.79) +(fourier time :time 0.00 :before-memory 32.79 :after-memory 32.91) +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 0.04 :before-memory 32.91 :after-memory 32.91) + +isolating roots of: x^2 - 3 x + 2 +(isolate time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +square free part: x^2 - 3 x + 2 +(sqf time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +num. roots: 2 +sign var(-oo): 2 +sign var(+oo): 0 +roots: 2 +intervals: (0, 2)(interval check :time 0.00 :before-memory 32.82 :after-memory 32.82) + +isolating roots of: x^5 - 2 x^4 + x^3 +(isolate time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +square free part: x^2 - x +(sqf time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +num. roots: 2 +sign var(-oo): 2 +sign var(+oo): 0 +roots: 0 +intervals: (0, 4)(interval check :time 0.00 :before-memory 32.82 :after-memory 32.82) + +isolating roots of: x^5 - x - 1 +(isolate time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +square free part: x^5 - x - 1 +(sqf time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +num. roots: 1 +sign var(-oo): 2 +sign var(+oo): 1 +roots: +intervals: (0, 4)(interval check :time 0.00 :before-memory 32.82 :after-memory 32.82) + +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 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18 +(sqf time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +isolating roots of: 100000000 x^2 - 630000 x + 992 +(isolate time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +square free part: 100000000 x^2 - 630000 x + 992 +(sqf time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 +(isolate time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 +(sqf time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +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 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +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 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +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 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +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 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +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 32.82 :after-memory 32.82) +(sturm time :time 0.01 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 0.01 :before-memory 32.82 :after-memory 32.82) + +isolating roots of: 900 x^19 - 6000113760 x^18 + 10000758403594816 x^17 - 1264023965440000000 x^16 + 39942400000000000000 x^15 - 2700000000000 x^14 + 18000341280000000000 x^13 - 30002275210784448000000000 x^12 + 3792071896320000000000000000 x^11 - 119827200000000000000000000000 x^10 + 2700000000000000000000 x^9 - 18000341280000000000000000000 x^8 + 30002275210784448000000000000000000 x^7 - 3792071896320000000000000000000000000 x^6 + 119827200000000000000000000000000000000 x^5 - 900000000000000000000000000000 x^4 + 6000113760000000000000000000000000000 x^3 - 10000758403594816000000000000000000000000000 x^2 + 1264023965440000000000000000000000000000000000 x - 39942400000000000000000000000000000000000000000 +(isolate time :time 0.01 :before-memory 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +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 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +square free part: x^2 - 3 x + 2 +(sqf time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +num. roots: 2 +sign var(-oo): 2 +sign var(+oo): 0 +roots: 2 +intervals: (0, 2)(interval check :time 0.00 :before-memory 32.82 :after-memory 32.82) + +isolating roots of: x^5 - 2 x^4 + x^3 +(isolate time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +square free part: x^2 - x +(sqf time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +num. roots: 2 +sign var(-oo): 2 +sign var(+oo): 0 +roots: 0 +intervals: (0, 4)(interval check :time 0.00 :before-memory 32.82 :after-memory 32.82) + +isolating roots of: x^5 - x - 1 +(isolate time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +square free part: x^5 - x - 1 +(sqf time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +num. roots: 1 +sign var(-oo): 2 +sign var(+oo): 1 +roots: +intervals: (0, 4)(interval check :time 0.00 :before-memory 32.82 :after-memory 32.82) + +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 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +square free part: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18 +(sqf time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +isolating roots of: 100000000 x^2 - 630000 x + 992 +(isolate time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +square free part: 100000000 x^2 - 630000 x + 992 +(sqf time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +isolating roots of: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 +(isolate time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +square free part: 1000000000000 x^3 - 9600000000 x^2 + 30710000 x - 32736 +(sqf time :time 0.00 :before-memory 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +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 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +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 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +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 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +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 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +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 32.82 :after-memory 32.82) +(sturm time :time 0.01 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 0.01 :before-memory 32.82 :after-memory 32.82) + +isolating roots of: 900 x^19 - 6000113760 x^18 + 10000758403594816 x^17 - 1264023965440000000 x^16 + 39942400000000000000 x^15 - 2700000000000 x^14 + 18000341280000000000 x^13 - 30002275210784448000000000 x^12 + 3792071896320000000000000000 x^11 - 119827200000000000000000000000 x^10 + 2700000000000000000000 x^9 - 18000341280000000000000000000 x^8 + 30002275210784448000000000000000000 x^7 - 3792071896320000000000000000000000000 x^6 + 119827200000000000000000000000000000000 x^5 - 900000000000000000000000000000 x^4 + 6000113760000000000000000000000000000 x^3 - 10000758403594816000000000000000000000000000 x^2 + 1264023965440000000000000000000000000000000000 x - 39942400000000000000000000000000000000000000000 +(isolate time :time 0.01 :before-memory 32.82 :after-memory 32.82) +(sturm time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) +(fourier time :time 0.00 :before-memory 32.82 :after-memory 32.82) +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 32.82 :after-memory 32.82) + +p: x0^5 + 2 x0^4 - 10 x0^3 - 20 x0^2 + 9 x0 + 18 +q: x^5 + 2 x^4 - 10 x^3 - 20 x^2 + 9 x + 18 +degree(q): 5 +expanded q: 18 9 -20 -10 2 1 +new q: 2 x^5 + 3 x^4 - 9 x^3 - 19 x^2 + 10 x + 19 +new q^2: 4 x^10 + 12 x^9 - 27 x^8 - 130 x^7 + 7 x^6 + 478 x^5 + 295 x^4 - 722 x^3 - 622 x^2 + 380 x + 361 +new (q^2)^3: 64 x^30 + 576 x^29 + 432 x^28 - 12288 x^27 - 40020 x^26 + 79284 x^25 + 586149 x^24 + 235698 x^23 - 4140627 x^22 - 6895030 x^21 + 15251184 x^20 + 49873788 x^19 - 16794929 x^18 - 201145074 x^17 - 108039945 x^16 + 499210576 x^15 + 614825733 x^14 - 724261014 x^13 - 1616514344 x^12 + 376952670 x^11 + 2580727584 x^10 + 671496040 x^9 - 2571049230 x^8 - 1605401010 x^7 + 1474343885 x^6 + 1530682218 x^5 - 329384703 x^4 - 739359046 x^3 - 86793786 x^2 + 148565940 x + 47045881 + + +Testing Z_p +GCD in Z[x] +_p: x^4 + 2 x^3 + 2 x^2 + x +_q: x^3 + x + 1 +gcd: 1 +_p: x^4 + 2 x^3 + 2 x^2 + x +_q: x^3 + x + 1 +subresultant_gcd: 1 +GCD in Z_3[x] +_p: x^4 - x^3 - x^2 + x +_q: x^3 + x + 1 +gcd: x - 1 +_p: x^4 - x^3 - x^2 + x +_q: x^3 + x + 1 +subresultant_gcd: x - 1 + + +Testing Z_p +GCD in Z[x] +_p: x^8 + x^6 + 10 x^4 + 10 x^3 + 8 x^2 + 2 x + 8 +_q: x^6 + 5 x^5 + 9 x^4 + 5 x^2 + 5 x +gcd: 1 +_p: x^8 + x^6 + 10 x^4 + 10 x^3 + 8 x^2 + 2 x + 8 +_q: x^6 + 5 x^5 + 9 x^4 + 5 x^2 + 5 x +subresultant_gcd: 1 +GCD in Z_13[x] +_p: x^8 + x^6 - 3 x^4 - 3 x^3 - 5 x^2 + 2 x - 5 +_q: x^6 + 5 x^5 - 4 x^4 + 5 x^2 + 5 x +gcd: x^5 + 5 x^4 - 4 x^3 + 5 x + 5 +_p: x^8 + x^6 - 3 x^4 - 3 x^3 - 5 x^2 + 2 x - 5 +_q: x^6 + 5 x^5 - 4 x^4 + 5 x^2 + 5 x +subresultant_gcd: x^5 + 5 x^4 - 4 x^3 + 5 x + 5 + +Extended GCD +GCD in Z_13[x] +A: x^6 + 5 x^5 - 4 x^4 + 5 x^2 + 5 x +B: x^8 + x^6 - 3 x^4 - 3 x^3 - 5 x^2 + 2 x - 5 +U: x^2 - 5 x + 4 +V: -1 +D: x^5 + 5 x^4 - 4 x^3 + 5 x + 5 + +Extended GCD in Z_7 +GCD in Z_7[x] +A: x^3 + 2 +B: -1 x^2 - 1 +U: 3 x - 1 +V: 3 x^2 - x - 3 +D: 1 +PASS +(test upolynomial :time 3.66 :before-memory 32.76 :after-memory 32.82) +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 4.16 :before-memory 32.82 :after-memory 32.80) +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 4.18 :before-memory 32.80 :after-memory 32.80) +test_algebraic_basic_operations +test_algebraic_arithmetic +test_algebraic_comparison +test_algebraic_degree +test_algebraic_signs +PASS +(test algebraic_numbers :time 0.00 :before-memory 32.80 :after-memory 32.80) +test_algebraic_basic_operations +test_algebraic_arithmetic +test_algebraic_comparison +test_algebraic_degree +test_algebraic_signs +PASS +(test algebraic_numbers :time 0.00 :before-memory 32.80 :after-memory 32.80) +test_monomial_bounds_basic +test_monomial_bounds_propagation +test_monomial_bounds_intervals +test_monomial_bounds_power +test_monomial_bounds_linear_case +PASS +(test monomial_bounds :time 0.00 :before-memory 32.80 :after-memory 32.80) +test_monomial_bounds_basic +test_monomial_bounds_propagation +test_monomial_bounds_intervals +test_monomial_bounds_power +test_monomial_bounds_linear_case +PASS +(test monomial_bounds :time 0.00 :before-memory 32.80 :after-memory 32.80) +test_nla_intervals_basic +test_nla_intervals_negative +test_nla_intervals_zero_crossing +test_nla_intervals_power +test_nla_intervals_mixed_signs +test_nla_intervals_fractional +PASS +(test nla_intervals :time 0.00 :before-memory 32.80 :after-memory 32.80) +test_nla_intervals_basic +test_nla_intervals_negative +test_nla_intervals_zero_crossing +test_nla_intervals_power +test_nla_intervals_mixed_signs +test_nla_intervals_fractional +PASS +(test nla_intervals :time 0.00 :before-memory 32.80 :after-memory 32.80) +test_horner_basic_evaluation +test_horner_linear_polynomial +test_horner_constant_polynomial +test_horner_zero_polynomial +test_horner_negative_coefficients +test_horner_fractional_values +test_horner_zero_evaluation_point +test_horner_high_degree +PASS +(test horner :time 0.00 :before-memory 32.80 :after-memory 32.80) +test_horner_basic_evaluation +test_horner_linear_polynomial +test_horner_constant_polynomial +test_horner_zero_polynomial +test_horner_negative_coefficients +test_horner_fractional_values +test_horner_zero_evaluation_point +test_horner_high_degree +PASS +(test horner :time 0.00 :before-memory 32.80 :after-memory 32.80) +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, 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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 0.11 :before-memory 32.80 :after-memory 32.80) +All tests passed! +PASS +(test permutation :time 0.13 :before-memory 32.80 :after-memory 32.80) +All tests passed! +PASS +(test permutation :time 0.13 :before-memory 32.80 :after-memory 32.80) +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 32.80 :after-memory 32.80) +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 32.80 :after-memory 32.80) +PASS +(test zstring :time 0.00 :before-memory 32.80 :after-memory 32.80) +PASS +(test zstring :time 0.00 :before-memory 32.80 :after-memory 32.80) +Unit tests completed +Running regression tests for additional coverage +Testing benchmarks at z3test/regressions/smt2 using build/z3 +Testing z3test/regressions/smt2/3436.smt2 +Testing z3test/regressions/smt2/fp-sqrt-6.smt2 +Testing z3test/regressions/smt2/fp-roundToIntegral-4.smt2 +Testing z3test/regressions/smt2/fp-fma-18.smt2 +Testing z3test/regressions/smt2/6079-1-simp.smt2 +Testing z3test/regressions/smt2/2935.smt2 +Testing z3test/regressions/smt2/3742.smt2 +Testing z3test/regressions/smt2/issue-628.smt2 +Testing z3test/regressions/smt2/4008.smt2 +Testing z3test/regressions/smt2/fp-conversions-13.smt2 +Testing z3test/regressions/smt2/6052.smt2 +Testing z3test/regressions/smt2/fp-to_sbv-13.smt2 +Testing z3test/regressions/smt2/2943.smt2 +Testing z3test/regressions/smt2/2892.smt2 +Testing z3test/regressions/smt2/z3.34.smt2 +Testing z3test/regressions/smt2/fp-conversions-20.smt2 +Testing z3test/regressions/smt2/4010.smt2 +Testing z3test/regressions/smt2/issue-1694.smt2 +Testing z3test/regressions/smt2/3865.smt2 +Testing z3test/regressions/smt2/z3.31.smt2 +Testing z3test/regressions/smt2/3190.smt2 +Testing z3test/regressions/smt2/string13.smt2 +Testing z3test/regressions/smt2/3253.smt2 +Testing z3test/regressions/smt2/o5.smt2 +Testing z3test/regressions/smt2/t121.smt2 +Testing z3test/regressions/smt2/3255.smt2 +Testing z3test/regressions/smt2/5798.smt2 +Testing z3test/regressions/smt2/6902.smt2 +Testing z3test/regressions/smt2/z3.29.smt2 +Testing z3test/regressions/smt2/6674-simp.smt2 +Testing z3test/regressions/smt2/sqrt-bug.smt2 +Testing z3test/regressions/smt2/3504.smt2 +Testing z3test/regressions/smt2/3225.smt2 +Testing z3test/regressions/smt2/z3.39.smt2 +Testing z3test/regressions/smt2/3700.smt2 +Testing z3test/regressions/smt2/3369.smt2 +Testing z3test/regressions/smt2/4032.smt2 +Testing z3test/regressions/smt2/3155.smt2 +Testing z3test/regressions/smt2/fp-to_fp_unsigned-5.smt2 +Testing z3test/regressions/smt2/fp-conversions-36.smt2 +Testing z3test/regressions/smt2/z3.16.smt2 +Testing z3test/regressions/smt2/3502.smt2 +Testing z3test/regressions/smt2/t211.smt2 +Testing z3test/regressions/smt2/3163.smt2 +Testing z3test/regressions/smt2/4044.smt2 +Testing z3test/regressions/smt2/3982.smt2 +Testing z3test/regressions/smt2/fp-sqrt-4.smt2 +Testing z3test/regressions/smt2/3937.smt2 +Testing z3test/regressions/smt2/fp-fma-4.smt2 +Testing z3test/regressions/smt2/ho.smt2 +Testing z3test/regressions/smt2/3342.smt2 +Testing z3test/regressions/smt2/fp-fma-2.smt2 +Testing z3test/regressions/smt2/2557.smt2 +Testing z3test/regressions/smt2/nl9.smt2 +Testing z3test/regressions/smt2/4841-2.smt2 +Testing z3test/regressions/smt2/t192.smt2 +Testing z3test/regressions/smt2/fp-conversions-24.smt2 +Testing z3test/regressions/smt2/fp-nan.smt2 +Testing z3test/regressions/smt2/6319.smt2 +Testing z3test/regressions/smt2/2891.smt2 +Testing z3test/regressions/smt2/2955.smt2 +Testing z3test/regressions/smt2/fp-sqrt-5.smt2 +Testing z3test/regressions/smt2/loop.smt2 +Testing z3test/regressions/smt2/6079-4.smt2 +Testing z3test/regressions/smt2/t183.smt2 +Testing z3test/regressions/smt2/fp-to_ubv-11.smt2 +Testing z3test/regressions/smt2/fp-conversions-17.smt2 +Testing z3test/regressions/smt2/fp-mul-1.smt2 +Testing z3test/regressions/smt2/fp-to_fp_float-3.smt2 +Testing z3test/regressions/smt2/t122.smt2 +Testing z3test/regressions/smt2/t189.smt2 +Testing z3test/regressions/smt2/string-itos.smt2 +Testing z3test/regressions/smt2/fp-to_ubv-9.smt2 +Testing z3test/regressions/smt2/fp-to_fp-10.smt2 +Testing z3test/regressions/smt2/2956.smt2 +Testing z3test/regressions/smt2/3146.smt2 +Testing z3test/regressions/smt2/fp-fma-13.smt2 +Testing z3test/regressions/smt2/fp-fma-6.smt2 +Testing z3test/regressions/smt2/fp-conversions-31.smt2 +Testing z3test/regressions/smt2/dt_ayrat_1.smt2 +Testing z3test/regressions/smt2/fp-to_ubv-30.smt2 +Testing z3test/regressions/smt2/fp-conversions-38.smt2 +Testing z3test/regressions/smt2/fp-to_ubv-14.smt2 +Testing z3test/regressions/smt2/3006.smt2 +Testing z3test/regressions/smt2/dt_ayrat_3.smt2 +Testing z3test/regressions/smt2/4009.smt2 +Testing z3test/regressions/smt2/fp-fma-14.smt2 +Testing z3test/regressions/smt2/fp-to_ubv-5.smt2 +Testing z3test/regressions/smt2/fp-to_fp_unsigned-9.smt2 +Testing z3test/regressions/smt2/intervalUpDivide.smt2 +Testing z3test/regressions/smt2/2450.smt2 +Testing z3test/regressions/smt2/abs.smt2 +Testing z3test/regressions/smt2/3438.smt2 +Testing z3test/regressions/smt2/3411.smt2 +Testing z3test/regressions/smt2/3434.smt2 +Testing z3test/regressions/smt2/t143.smt2 +Testing z3test/regressions/smt2/nl46.smt2 +Testing z3test/regressions/smt2/fp-conversions-10.smt2 +Testing z3test/regressions/smt2/fp-to_ubv-1.smt2 +Testing z3test/regressions/smt2/3517.smt2 +Testing z3test/regressions/smt2/consequence_fd.smt2 +Testing z3test/regressions/smt2/2939.smt2 +Testing z3test/regressions/smt2/issue-1224.smt2 +Testing z3test/regressions/smt2/fp-rem-4.smt2 +Testing z3test/regressions/smt2/3383.smt2 +Testing z3test/regressions/smt2/fp-to_ubv-6.smt2 +Testing z3test/regressions/smt2/nl55.smt2 +Testing z3test/regressions/smt2/crash.smt2 +Testing z3test/regressions/smt2/o2.smt2 +Testing z3test/regressions/smt2/3970.smt2 +Testing z3test/regressions/smt2/fp-roundToIntegral-8.smt2 +Testing z3test/regressions/smt2/3911.smt2 +Testing z3test/regressions/smt2/2890.smt2 +Testing z3test/regressions/smt2/z3.2.smt2 +Testing z3test/regressions/smt2/fp-to_fp_unsigned-11.smt2 +Testing z3test/regressions/smt2/3247.smt2 +Testing z3test/regressions/smt2/strategy-par-or-1.smt2 +Testing z3test/regressions/smt2/5075.smt2 +Testing z3test/regressions/smt2/3961.smt2 +Testing z3test/regressions/smt2/3500.smt2 +Testing z3test/regressions/smt2/fp-eq-1.smt2 +Testing z3test/regressions/smt2/t11.smt2 +Testing z3test/regressions/smt2/2937.smt2 +Testing z3test/regressions/smt2/mbqi_bug.smt2 +Testing z3test/regressions/smt2/4841-simp.smt2 +Testing z3test/regressions/smt2/fp-to_ubv-20.smt2 +Testing z3test/regressions/smt2/5724.smt2 +Testing z3test/regressions/smt2/issue-2416-2.smt2 +Testing z3test/regressions/smt2/power.smt2 +Testing z3test/regressions/smt2/fp-to_fp_real-2.smt2 +Testing z3test/regressions/smt2/issue-1218.smt2 +Testing z3test/regressions/smt2/t217.smt2 +Testing z3test/regressions/smt2/2447.smt2 +Testing z3test/regressions/smt2/fp-to_sbv-16.smt2 +Testing z3test/regressions/smt2/fp-to_sbv-6.smt2 +Testing z3test/regressions/smt2/3553.smt2 +Testing z3test/regressions/smt2/t201.smt2 +Testing z3test/regressions/smt2/3555.smt2 +Testing z3test/regressions/smt2/3423.smt2 +Testing z3test/regressions/smt2/string14.smt2 +Testing z3test/regressions/smt2/issue-1851.smt2 +Testing z3test/regressions/smt2/3919.smt2 +Testing z3test/regressions/smt2/t212.smt2 +Testing z3test/regressions/smt2/fp-operations.smt2 +Testing z3test/regressions/smt2/nl27.smt2 +Testing z3test/regressions/smt2/fp-to_ubv-26.smt2 +Testing z3test/regressions/smt2/fp-fma-5.smt2 +Testing z3test/regressions/smt2/2417.smt2 +Testing z3test/regressions/smt2/3930.smt2 +Testing z3test/regressions/smt2/fp-uf-2.smt2 +Testing z3test/regressions/smt2/3332.smt2 +Testing z3test/regressions/smt2/t16.smt2 +Testing z3test/regressions/smt2/nl39.smt2 +Testing z3test/regressions/smt2/3785.smt2 +Testing z3test/regressions/smt2/nl33.smt2 +Testing z3test/regressions/smt2/string11.smt2 +Testing z3test/regressions/smt2/fp-fma-10.smt2 +Testing z3test/regressions/smt2/z3.37.smt2 +Testing z3test/regressions/smt2/fp-to_ubv-19.smt2 +Testing z3test/regressions/smt2/z3.43.smt2 +Testing z3test/regressions/smt2/t134.smt2 +Testing z3test/regressions/smt2/2533.smt2 +Testing z3test/regressions/smt2/z3.41.smt2 +Testing z3test/regressions/smt2/3118.smt2 +Testing z3test/regressions/smt2/nl49.smt2 +Testing z3test/regressions/smt2/3642.smt2 +Testing z3test/regressions/smt2/z3.20.smt2 +Testing z3test/regressions/smt2/fp-to_ubv-8.smt2 +Testing z3test/regressions/smt2/2919.smt2 +Testing z3test/regressions/smt2/string3.smt2 +Testing z3test/regressions/smt2/5693.smt2 +Testing 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z3test/regressions/smt2/nl5.smt2 +Testing z3test/regressions/smt2/div.smt2 +Testing z3test/regressions/smt2/intervalDownDivide.smt2 +Testing z3test/regressions/smt2/fp-rem-6.smt2 +Testing z3test/regressions/smt2/issue-1816.smt2 +Testing z3test/regressions/smt2/nl34.smt2 +Testing z3test/regressions/smt2/fp-to_fp-6.smt2 +Testing z3test/regressions/smt2/string-literals.smt2 +Testing z3test/regressions/smt2/2877.smt2 +Testing z3test/regressions/smt2/3775.smt2 +Testing z3test/regressions/smt2/memset.smt2 +Testing z3test/regressions/smt2/3503.smt2 +Testing z3test/regressions/smt2/3986.smt2 +Testing z3test/regressions/smt2/3751.smt2 +Testing z3test/regressions/smt2/fp-fma-19.smt2 +Testing z3test/regressions/smt2/3576.smt2 +Testing z3test/regressions/smt2/3042.smt2 +Testing z3test/regressions/smt2/3260.smt2 +Testing z3test/regressions/smt2/fp-array-6.smt2 +Testing z3test/regressions/smt2/6117-6.smt2 +Testing z3test/regressions/smt2/6079-1.smt2 +Testing z3test/regressions/smt2/fp-to_sbv-8.smt2 +Testing z3test/regressions/smt2/fp-conversions-30.smt2 +Testing z3test/regressions/smt2/fp-conversions-39.smt2 +Testing z3test/regressions/smt2/6116.smt2 +Testing z3test/regressions/smt2/2879.smt2 +Testing z3test/regressions/smt2/fp-uf-7.smt2 +Testing z3test/regressions/smt2/unsatcore.smt2 +Testing z3test/regressions/smt2/3984.smt2 +Testing z3test/regressions/smt2/fp-to_ubv-3.smt2 +Testing z3test/regressions/smt2/3081.smt2 +Testing z3test/regressions/smt2/3324.smt2 +Testing z3test/regressions/smt2/t191.smt2 +Testing z3test/regressions/smt2/fp-to_sbv-5.smt2 +Testing z3test/regressions/smt2/3889.smt2 +Testing z3test/regressions/smt2/string-simplify.smt2 +Testing z3test/regressions/smt2/6593.smt2 +Testing z3test/regressions/smt2/fp-rounding_mode-3.smt2 +Testing z3test/regressions/smt2/cosine5.smt2 +Testing z3test/regressions/smt2/fp-conversions-15.smt2 +Testing z3test/regressions/smt2/issue-3028.smt2 +Testing z3test/regressions/smt2/sine3.smt2 +Testing z3test/regressions/smt2/fp-to_ubv-27.smt2 +Testing z3test/regressions/smt2/t219.smt2 +Testing z3test/regressions/smt2/root-pre.smt2 +Testing z3test/regressions/smt2/6054.smt2 +Testing z3test/regressions/smt2/fp-div-3.smt2 +Testing z3test/regressions/smt2/2889.smt2 +Testing z3test/regressions/smt2/t197.smt2 +Testing z3test/regressions/smt2/fp-quantifiers-2.smt2 +Testing z3test/regressions/smt2/3523.smt2 +Testing z3test/regressions/smt2/fp-rem-12.smt2 +Testing z3test/regressions/smt2/nl2.smt2 +Testing z3test/regressions/smt2/3713.smt2 +Testing z3test/regressions/smt2/z3.5.smt2 +Testing z3test/regressions/smt2/nl23.smt2 +Testing z3test/regressions/smt2/fp-rem-10.smt2 +Testing z3test/regressions/smt2/t215.smt2 +Testing z3test/regressions/smt2/issue-1733.smt2 +Testing z3test/regressions/smt2/nl11.smt2 +Testing z3test/regressions/smt2/3029.smt2 +Testing z3test/regressions/smt2/fp-rem-8.smt2 +Testing z3test/regressions/smt2/fp-fma-16.smt2 +Testing z3test/regressions/smt2/3934.smt2 +Testing z3test/regressions/smt2/cosine2.smt2 +Testing z3test/regressions/smt2/fp-conversions-21.smt2 +Testing z3test/regressions/smt2/3141.smt2 +Regression tests completed +Running coverage-specific tests +Testing z3test/coverage/cpp/cov10.cpp +Testing z3test/coverage/cpp/cov7.cpp +Testing z3test/coverage/cpp/cov4.cpp +Testing z3test/coverage/cpp/cov1.cpp +Testing z3test/coverage/cpp/cov5.cpp +Testing z3test/coverage/cpp/cov8.cpp +Testing z3test/coverage/cpp/cov3.cpp +Testing z3test/coverage/cpp/cov9.cpp +Coverage tests completed +Running built examples for additional coverage +de-Morgan example +(declare-fun y () Bool) +(declare-fun x () Bool) +(assert (not (= (not (and x y)) (or (not x) (not y))))) + +; +(set-info :status unknown) +(declare-fun y () Bool) +(declare-fun x () Bool) +(assert + (let (($x9 (or (not x) (not y)))) +(let (($x12 (= (not (and x y)) $x9))) +(not $x12)))) +(check-sat) + +de-Morgan is valid + +find_model_example1 +sat +(define-fun y () Int + 3) +(define-fun x () Int + 1) +y = 3 +x = 1 +x + y + 1 = 5 + +prove_example1 +conjecture 1 +(=> (= x y) (= (g x) (g y))) +proved +conjecture 2 +(=> (= x y) (= (g (g x)) (g y))) +failed to prove +counterexample: +(define-fun y () Int + 0) +(define-fun x () Int + 0) +(define-fun g ((x!0 Int)) Int + (ite (= x!0 1) 2 + 1)) +g(g(x)) = 2 +g(y) = 1 + +prove_example1 +conjecture 1: +(let ((a!1 (distinct (g (- (g x) (g y))) (g z)))) + (=> (and a!1 (<= (+ x z) y) (<= y x)) (< z 0))) +proved +conjecture 2: +(let ((a!1 (distinct (g (- (g x) (g y))) (g z)))) + (=> (and a!1 (<= (+ x z) y) (<= y x)) (< z (- 1)))) +failed to prove +counterexample: +(define-fun x () Int + (- 1)) +(define-fun z () Int + (- 1)) +(define-fun y () Int + (- 1)) +(define-fun g ((x!0 Int)) Int + (ite (= x!0 (- 1)) 0 + 4)) + +nonlinear example 1 +sat +(define-fun y () Real + (- 1.0)) +(define-fun x () Real + 0.0) +(define-fun z () Real + (/ 1.0 2.0)) +model in decimal notation +(define-fun y () Real + (- 1.0)) +(define-fun x () Real + 0.0) +(define-fun z () Real + 0.5) +model using 50 decimal places +(define-fun y () Real + (- 1.0)) +(define-fun x () Real + 0.0) +(define-fun z () Real + 0.5) + +bitvector example 1 +conjecture: +(= (bvsle (bvsub x #x0000000a) #x00000000) (bvsle x #x0000000a)) +failed to prove +counterexample: +(define-fun x () (_ BitVec 32) + #x80000007) +conjecture: +(= (bvule (bvsub x #x0000000a) #x00000000) (bvule x #x0000000a)) +failed to prove +counterexample: +(define-fun x () (_ BitVec 32) + #x00000004) +conjecture: +(=> (= (concat x y) (concat y x)) (= x y)) +proved + +bitvector example 2 +(declare-fun y () (_ BitVec 32)) +(declare-fun x () (_ BitVec 32)) +(assert (= (bvsub (bvxor x y) #x00000067) (bvmul x y))) + +sat +(define-fun y () (_ BitVec 32) + #x7821741b) +(define-fun x () (_ BitVec 32) + #x0e05044b) + +capi example +r: (bvsrem x y) + +eval example 1 +sat +Model: +(define-fun x () Int + 3) +(define-fun y () Int + 4) +x+y = 7 + +two contexts example 1 +(+ x 1) + +error example +failed: invalid argument +failed: index out of bounds + +numeral example +(/ 1.0 2.0) (/ 1.0 2.0) (/ 1.0 2.0) +conjecture: +(and (= (/ 1.0 2.0) (/ 1.0 2.0)) (= (/ 1.0 2.0) (/ 1.0 2.0))) +proved +(- (/ 1.0 3.0)) (- (/ 3333333333333333333333333333333333.0 + 10000000000000000000000000000000000.0)) +conjecture: +(distinct (- (/ 1.0 3.0)) + (- (/ 3333333333333333333333333333333333.0 + 10000000000000000000000000000000000.0))) +proved + +if-then-else example +term: (ite false 1 0) + +if-then-else example2 +(> (ite b x y) 0) + +quantifier example +(declare-fun f (Int Int) Int) +(declare-fun a () Int) +(assert (forall ((x Int) (y Int)) (! (>= (f x y) 0) :weight 0))) +(assert (< (f a a) a)) + +sat +(define-fun a () Int + 1) +(define-fun f ((x!0 Int) (x!1 Int)) Int + 0) +unsat + +unsat core example1 +unsat +(ast-vector + p1 + p2) +size: 2 +p1 +p2 +sat + +unsat core example 2 +unsat +(ast-vector + p1) +size: 1 +p1 +F num. args (before simplify): 2 +F num. args (after simplify): 4 +Creating answer literal q0 for (not (<= x 10)) +Creating answer literal q1 for (not (<= y x)) +Creating answer literal q2 for (not (<= 5 y)) +Creating answer literal q3 for (not (<= y 0)) +unsat +(ast-vector + q0 + q1 + q2) +size: 3 +q0 +q1 +q2 + +unsat core example 3 +unsat +(ast-vector + p1 + p3) + +tactic example 1 +(goal + (> x 0.0) + (> y 0.0) + (= x (+ y 2.0))) +(goals +(goal + (not (<= x 0.0)) + (not (<= x 2.0))) +) + +tactic example 2 +subgoal 0 +(goal + (< x 0.0) + (= x (+ y 1.0)) + (< y 0.0)) +subgoal 1 +(goal + (> x 0.0) + (= x (+ y 1.0)) + (< y 0.0)) + +tactic example 3 +(goals +(goal + (= x 0.0) + (= y 0.0) + (= z 0.0) + (> (+ x y z) 2.0)) +(goal + (= x 0.0) + (= y 0.0) + (= z 1.0) + (> (+ x y z) 2.0)) +(goal + (= x 0.0) + (= y 1.0) + (= z 0.0) + (> (+ x y z) 2.0)) +(goal + (= x 0.0) + (= y 1.0) + (= z 1.0) + (> (+ x y z) 2.0)) +(goal + (= x 1.0) + (= y 0.0) + (= z 0.0) + (> (+ x y z) 2.0)) +(goal + (= x 1.0) + (= y 0.0) + (= z 1.0) + (> (+ x y z) 2.0)) +(goal + (= x 1.0) + (= y 1.0) + (= z 0.0) + (> (+ x y z) 2.0)) +(goal + (= x 1.0) + (= y 1.0) + (= z 1.0) + (> (+ x y z) 2.0)) +) +(goals +(goal + (= x 0.0) + (= y 0.0) + (or (= z 0.0) (= z 1.0)) + (> (+ x y z) 2.0)) +(goal + (= x 0.0) + (= y 1.0) + (or (= z 0.0) (= z 1.0)) + (> (+ x y z) 2.0)) +(goal + (= x 1.0) + (= y 0.0) + (or (= z 0.0) (= z 1.0)) + (> (+ x y z) 2.0)) +(goal + (= x 1.0) + (= y 1.0) + (or (= z 0.0) (= z 1.0)) + (> (+ x y z) 2.0)) +) +(goals +(goal) +) + +tactic example 4 +sat +(define-fun x () (_ BitVec 16) + #x0500) +(define-fun y () (_ BitVec 16) + #x600d) +x*32 + y = #x000d +x & y = #x0000 + +tactic example 5 +sat +(define-fun x () Int + 0) +(define-fun y () Int + (- 2)) + +tactic example 6 +sat +(define-fun x () Int + 2) +(define-fun z () Int + 7) +(define-fun y () Int + 1) +unknown + +tactic example 7 +(goals +(goal + (not (<= y 13)) + (not (<= z y))) +) +sat +model for subgoal: +(define-fun y () Int + 14) +(define-fun z () Int + 15) +model for original goal: +(define-fun z () Int + 15) +(define-fun y () Int + 14) +(define-fun x () Int + 11) + +tactic example 8 +num-consts: 3 +tactic failed... +trying again... +(goals +(goal + (> (+ x y) 0)) +) + +tactic example 9 +(goals +(goal + (<= (* (+ y (* (- 1) x)) (+ y x)) 0)) +) +(goals +(goal + (>= (+ (* 2 x) y z) 0) + (>= (+ (* x x) (* (- 1) y y)) 0)) +) + +tactic example using quantifier elimination +(forall ((x Int)) (! (=> (<= x a) (< x b)) :weight 0)) +sat +(define-fun b () Int + 1) +(define-fun a () Int + 0) + +visit example +application of x: x +application of *: (* x x) +application of +: (+ (* x x) (* x x)) +application of y: y +application of *: (* y y) +application of -: (- (+ (* x x) (* x x)) (* y y)) +application of Int: 0 +application of >=: (>= (- (+ (* x x) (* x x)) (* y y)) 0) + +numeral example +(/ 1.0 3.0) is 0.333333 + +incremental example1 +sat +unsat + +incremental example2 +sat +unsat +sat +(declare-fun k!0 () Bool) +(declare-fun x () Int) +(declare-fun k!1 () Bool) +(assert (> x 0)) +(model-del k!0) +(model-add x () Int (ite k!0 0 (+ 0 1))) +(model-del k!1) +(model-add k!0 () Bool (not k!1)) +(pb2bv-model-converter) +(model-add k!1 () Bool true) + + +incremental example3 +sat +unsat +sat +sat + +enumeration sort example +1: (and (= x a) (= x b)) +2: false + +tuple example +(declare-fun pair2 (Int pair) pair2) + +datatype example +ilist +(declare-fun nil () ilist) (declare-fun is (ilist) Bool) (ast-vector) +(declare-fun cons (Int ilist) ilist) (declare-fun is (ilist) Bool) (ast-vector + (declare-fun hd (ilist) Int) + (declare-fun tl (ilist) ilist)) +(ast-vector + tree + tree_list) +(declare-fun tnil () tree) (declare-fun is (tree) Bool) (ast-vector) +(declare-fun tnode (tree_list tree_list) tree) (declare-fun is (tree) Bool) (ast-vector + (declare-fun left (tree) tree_list) + (declare-fun right (tree) tree_list)) +(declare-fun lnil () tree_list) (declare-fun is (tree_list) Bool) (ast-vector) +(declare-fun lcons (Int tree) tree_list) (declare-fun is (tree_list) Bool) (ast-vector + (declare-fun hd (tree_list) Int) + (declare-fun tail (tree_list) tree)) + +expr_vector example +(declare-fun x_0 () Int) +(declare-fun x_1 () Int) +(declare-fun x_2 () Int) +(declare-fun x_3 () Int) +(declare-fun x_4 () Int) +(declare-fun x_5 () Int) +(declare-fun x_6 () Int) +(declare-fun x_7 () Int) +(declare-fun x_8 () Int) +(declare-fun x_9 () Int) +(assert (>= x_0 1)) +(assert (>= x_1 1)) +(assert (>= x_2 1)) +(assert (>= x_3 1)) +(assert (>= x_4 1)) +(assert (>= x_5 1)) +(assert (>= x_6 1)) +(assert (>= x_7 1)) +(assert (>= x_8 1)) +(assert (>= x_9 1)) + +solving... +sat +solution +(define-fun x_7 () Int + 1) +(define-fun x_5 () Int + 1) +(define-fun x_3 () Int + 1) +(define-fun x_1 () Int + 1) +(define-fun x_8 () Int + 1) +(define-fun x_6 () Int + 1) +(define-fun x_4 () Int + 1) +(define-fun x_2 () Int + 1) +(define-fun x_9 () Int + 1) +(define-fun x_0 () Int + 1) +exists expr_vector example +(exists ((x_0 Int) + (x_1 Int) + (x_2 Int) + (x_3 Int) + (x_4 Int) + (x_5 Int) + (x_6 Int) + (x_7 Int) + (x_8 Int) + (x_9 Int)) + (! (and true + (>= x_0 0) + (>= x_1 0) + (>= x_2 0) + (>= x_3 0) + (>= x_4 0) + (>= x_5 0) + (>= x_6 0) + (>= x_7 0) + (>= x_8 0) + (>= x_9 0)) + :weight 0)) + +substitute example +(or (= x 2) (= x 1)) +(or (= x 3) (= x 1)) + +x: 4 y: 7 +x: 5 y: 6 +x: 3 y: 8 +x: 1 y: 10 +x: 2 y: 9 +x: 8 y: 3 +x: 9 y: 2 +x: 7 y: 4 +x: 10 y: 1 +x: 6 y: 5 + +(declare-fun x () Int) +(declare-fun y () Int) +(declare-fun z () Int) +(assert (and (>= 10 x) (>= x 0))) +(assert (and (>= 10 y) (>= y 0))) +(assert (<= (+ x y) 11)) +(assert (= (+ x z) 2)) +(minimize (- x)) +(minimize (- y)) +(minimize z) +(check-sat) + + +extract example +((_ extract 21 10) x) 21 10 + +parameter description example +(ite_extra_rules, flat, flat_and_or, sort_disjunctions, elim_and, elim_ite, local_ctx, local_ctx_limit, blast_distinct, blast_distinct_threshold, som, som_blowup, hoist_mul, hoist_ite, algebraic_number_evaluator, mul_to_power, expand_power, expand_tan, max_degree, sort_sums, gcd_rounding, arith_lhs, arith_ineq_lhs, elim_to_real, push_to_real, eq2ineq, elim_rem, split_concat_eq, bit2bool, blast_eq_value, elim_sign_ext, hi_div0, mul2concat, bv_sort_ac, bv_extract_prop, bv_not_simpl, bv_ite2id, bv_le_extra, bv_le2extract, expand_select_store, blast_select_store, expand_nested_stores, expand_select_ite, expand_store_eq, sort_store, max_memory, max_steps, push_ite_arith, push_ite_bv, pull_cheap_ite, bv_ineq_consistency_test_max, cache_all, enable_der, rewrite_patterns, ignore_patterns_on_ground_qbody) +ite_extra_rules: extra ite simplifications, these additional simplifications may reduce size locally but increase globally kind: bool +flat: create nary applications for +,*,bvadd,bvmul,bvand,bvor,bvxor kind: bool +flat_and_or: create nary applications for and,or kind: bool +sort_disjunctions: sort subterms in disjunctions kind: bool +elim_and: conjunctions are rewritten using negation and disjunctions kind: bool +elim_ite: eliminate ite in favor of and/or kind: bool +local_ctx: perform local (i.e., cheap) context simplifications kind: bool +local_ctx_limit: limit for applying local context simplifier kind: uint +blast_distinct: expand a distinct predicate into a quadratic number of disequalities kind: bool +blast_distinct_threshold: when blast_distinct is true, only distinct expressions with less than this number of arguments are blasted kind: uint +som: put polynomials in sum-of-monomials form kind: bool +som_blowup: maximum increase of monomials generated when putting a polynomial in sum-of-monomials normal form kind: uint +hoist_mul: hoist multiplication over summation to minimize number of multiplications kind: bool +hoist_ite: hoist shared summands under ite expressions kind: bool +algebraic_number_evaluator: simplify/evaluate expressions containing (algebraic) irrational numbers. kind: bool +mul_to_power: collpase (* t ... t) into (^ t k), it is ignored if expand_power is true. kind: bool +expand_power: expand (^ t k) into (* t ... t) if 1 < k <= max_degree. kind: bool +expand_tan: replace (tan x) with (/ (sin x) (cos x)). kind: bool +max_degree: max degree of algebraic numbers (and power operators) processed by simplifier. kind: uint +sort_sums: sort the arguments of + application. kind: bool +gcd_rounding: use gcd rounding on integer arithmetic atoms. kind: bool +arith_lhs: all monomials are moved to the left-hand-side, and the right-hand-side is just a constant. kind: bool +arith_ineq_lhs: rewrite inequalities so that right-hand-side is a constant. kind: bool +elim_to_real: eliminate to_real from arithmetic predicates that contain only integers. kind: bool +push_to_real: distribute to_real over * and +. kind: bool +eq2ineq: expand equalities into two inequalities kind: bool +elim_rem: replace (rem x y) with (ite (>= y 0) (mod x y) (- (mod x y))). kind: bool +split_concat_eq: split equalities of the form (= (concat t1 t2) t3) kind: bool +bit2bool: try to convert bit-vector terms of size 1 into Boolean terms kind: bool +blast_eq_value: blast (some) Bit-vector equalities into bits kind: bool +elim_sign_ext: expand sign-ext operator using concat and extract kind: bool +hi_div0: use the 'hardware interpretation' for division by zero (for bit-vector terms) kind: bool +mul2concat: replace multiplication by a power of two into a concatenation kind: bool +bv_sort_ac: sort the arguments of all AC operators kind: bool +bv_extract_prop: attempt to partially propagate extraction inwards kind: bool +bv_not_simpl: apply simplifications for bvnot kind: bool +bv_ite2id: rewrite ite that can be simplified to identity kind: bool +bv_le_extra: additional bu_(u/s)le simplifications kind: bool +bv_le2extract: disassemble bvule to extract kind: bool +expand_select_store: conservatively replace a (select (store ...) ...) term by an if-then-else term kind: bool +blast_select_store: eagerly replace all (select (store ..) ..) term by an if-then-else term kind: bool +expand_nested_stores: replace nested stores by a lambda expression kind: bool +expand_select_ite: expand select over ite expressions kind: bool +expand_store_eq: reduce (store ...) = (store ...) with a common base into selects kind: bool +sort_store: sort nested stores when the indices are known to be different kind: bool +max_memory: maximum amount of memory in megabytes kind: uint +max_steps: maximum number of steps kind: uint +push_ite_arith: push if-then-else over arithmetic terms. kind: bool +push_ite_bv: push if-then-else over bit-vector terms. kind: bool +pull_cheap_ite: pull if-then-else terms when cheap. kind: bool +bv_ineq_consistency_test_max: max size of conjunctions on which to perform consistency test based on inequalities on bitvectors. kind: uint +cache_all: cache all intermediate results. kind: bool +enable_der: enable destructive equality resolution to quantifiers. kind: bool +rewrite_patterns: rewrite patterns. kind: bool +ignore_patterns_on_ground_qbody: ignores patterns on quantifiers that don't mention their bound variables. kind: bool + +sudoku example +sat +(declare-fun x_0_4 () Int) +(declare-fun x_4_5 () Int) +(declare-fun x_6_6 () Int) +(declare-fun x_1_8 () Int) +(declare-fun x_4_1 () Int) +(declare-fun x_0_5 () Int) +(declare-fun x_7_5 () Int) +(declare-fun x_2_1 () Int) +(declare-fun x_5_2 () Int) +(declare-fun x_4_3 () Int) +(declare-fun x_4_7 () Int) +(declare-fun x_0_7 () Int) +(declare-fun x_2_2 () Int) +(declare-fun x_6_1 () Int) +(declare-fun x_1_4 () Int) +(declare-fun x_7_4 () Int) +(declare-fun x_8_4 () Int) +(declare-fun x_3_8 () Int) +(declare-fun x_2_7 () Int) +(declare-fun x_6_7 () Int) +(declare-fun x_1_3 () Int) +(declare-fun x_3_6 () Int) +(declare-fun x_8_1 () Int) +(declare-fun x_8_3 () Int) +(declare-fun x_5_0 () Int) +(declare-fun x_7_0 () Int) +(declare-fun x_0_0 () Int) +(declare-fun x_0_1 () Int) +(declare-fun x_0_2 () Int) +(declare-fun x_0_3 () Int) +(declare-fun x_0_6 () Int) +(declare-fun x_0_8 () Int) +(declare-fun x_1_0 () Int) +(declare-fun x_1_1 () Int) +(declare-fun x_1_2 () Int) +(declare-fun x_1_5 () Int) +(declare-fun x_1_6 () Int) +(declare-fun x_1_7 () Int) +(declare-fun x_2_0 () Int) +(declare-fun x_2_3 () Int) +(declare-fun x_2_4 () Int) +(declare-fun x_2_5 () Int) +(declare-fun x_2_6 () Int) +(declare-fun x_2_8 () Int) +(declare-fun x_3_0 () Int) +(declare-fun x_3_1 () Int) +(declare-fun x_3_2 () Int) +(declare-fun x_3_3 () Int) +(declare-fun x_3_4 () Int) +(declare-fun x_3_5 () Int) +(declare-fun x_3_7 () Int) +(declare-fun x_4_0 () Int) +(declare-fun x_4_2 () Int) +(declare-fun x_4_4 () Int) +(declare-fun x_4_6 () Int) +(declare-fun x_4_8 () Int) +(declare-fun x_5_1 () Int) +(declare-fun x_5_3 () Int) +(declare-fun x_5_4 () Int) +(declare-fun x_5_5 () Int) +(declare-fun x_5_6 () Int) +(declare-fun x_5_7 () Int) +(declare-fun x_5_8 () Int) +(declare-fun x_6_0 () Int) +(declare-fun x_6_2 () Int) +(declare-fun x_6_3 () Int) +(declare-fun x_6_4 () Int) +(declare-fun x_6_5 () Int) +(declare-fun x_6_8 () Int) +(declare-fun x_7_1 () Int) +(declare-fun x_7_2 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+char: 99 +char: 10 +char: 10 +char: 0 +char: 0 + + +iterate arguments +expression (g x y) +arg x +arg y + +done +Z3tptp [4.15.4.0] (c) 2006-20**. 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'sparse_matrix_def.h##7728bde4b11b4c9452bd18899aece19c.gcov' + +File '/home/runner/work/z3/z3/src/util/scoped_numeral.h' +Lines executed:0.00% of 39 +Branches executed:0.00% of 8 +Taken at least once:0.00% of 8 +No calls +Creating 'scoped_numeral.h##181853b102ef2cf7617a7e4974a9b763.gcov' + +File '/home/runner/work/z3/z3/src/ast/ast_smt2_pp.h' +Lines executed:-nan% of 0 +No branches +No calls +Creating 'ast_smt2_pp.h##1943b50b1b39e88d8a7a0c43ad36d9dd.gcov' + +File '/home/runner/work/z3/z3/src/util/mpz.h' +Lines executed:0.00% of 54 +Branches executed:0.00% of 32 +Taken at least once:0.00% of 32 +No calls +Creating 'mpz.h##c629498f8d83430f37af294e1e6e180d.gcov' + +File '/usr/include/c++/14/variant' +Lines executed:0.00% of 69 +Branches executed:0.00% of 14 +Taken at least once:0.00% of 14 +No calls +Creating 'variant##7c2dcb1b1e326745253c9da82e544faf.gcov' + +File '/usr/include/c++/14/bits/stl_uninitialized.h' +Lines executed:77.78% of 45 +Branches executed:56.28% of 398 +Taken at least once:6.03% of 398 +No calls +Creating 'stl_uninitialized.h##e7e113cd59c89d148329899daa159e81.gcov' + +File '/usr/include/c++/14/bits/stl_iterator.h' +Lines executed:85.71% of 21 +No branches +No calls +Creating 'stl_iterator.h##593395356d89264cfc54bbafc561defa.gcov' + +File '/usr/include/c++/14/bits/stl_iterator_base_types.h' +Lines executed:100.00% of 2 +No branches +No calls +Creating 'stl_iterator_base_types.h##4ad4dbc2259d0bcc6295a5c957cee9ce.gcov' + +File '/usr/include/c++/14/bits/stl_iterator_base_funcs.h' +Lines executed:63.16% of 19 +Branches executed:100.00% of 272 +Taken at least once:3.68% of 272 +No calls +Creating 'stl_iterator_base_funcs.h##7060f7be2adfe4e9be6011f7d20df1d8.gcov' + +File '/usr/include/c++/14/bits/stl_construct.h' +Lines executed:71.88% of 32 +Branches executed:50.00% of 60 +Taken at least once:13.33% of 60 +No calls +Creating 'stl_construct.h##8c7696e3a158dab67142d4d86face8d5.gcov' + +File '/usr/include/c++/14/bits/exception.h' +Lines executed:0.00% of 1 +No branches +No calls +Creating 'exception.h##5cf3e17a54db9cd1c25e05e33b48adb8.gcov' + +File '/usr/include/c++/14/bits/iterator_concepts.h' +Lines executed:100.00% of 2 +No branches +No calls +Creating 'iterator_concepts.h##2fdd7e613754864558b128a3becf3103.gcov' + +File '/usr/include/c++/14/bits/new_allocator.h' +Lines executed:0.00% of 13 +Branches executed:0.00% of 4 +Taken at least once:0.00% of 4 +No calls +Creating 'new_allocator.h##315e46e95b83a97df029f10df5249908.gcov' + +File '/usr/include/c++/14/bits/char_traits.h' +Lines executed:0.00% of 10 +Branches executed:0.00% of 2 +Taken at least once:0.00% of 2 +No calls +Creating 'char_traits.h##0fd3ef54c84275914730319b1edd3eaa.gcov' + +File '/usr/include/c++/14/bits/basic_string.tcc' +Lines executed:0.00% of 47 +Branches executed:0.00% of 30 +Taken at least once:0.00% of 30 +No calls +Creating 'basic_string.tcc##1d20a43dedbc7644810166f510d36b8b.gcov' + +File '/usr/include/c++/14/bits/ptr_traits.h' +Lines executed:0.00% of 2 +No branches +No calls +Creating 'ptr_traits.h##54161817b8ac6c3d32f19f525b1020b9.gcov' + +File '/usr/include/c++/14/bits/alloc_traits.h' +Lines executed:0.00% of 6 +No branches +No calls +Creating 'alloc_traits.h##8d2898d93cd125ce13958cdb0e0c80f6.gcov' + +File '/home/runner/work/z3/z3/src/util/obj_pair_hashtable.h' +Lines executed:0.00% of 7 +No branches +No calls +Creating 'obj_pair_hashtable.h##1e11895d7b35598314531e3afa66a6d4.gcov' + +File '/home/runner/work/z3/z3/src/solver/assertions/asserted_formulas.h' +Lines executed:0.00% of 1 +No branches +No calls +Creating 'asserted_formulas.h##16e74bc9df2f7124742292bd7e10c454.gcov' + +File '/usr/include/c++/14/bits/stl_algo.h' +Lines executed:100.00% of 3 +No branches +No calls +Creating 'stl_algo.h##a1a2281c2667497a3ed540a9bdb5378b.gcov' + +File '/usr/include/c++/14/bits/predefined_ops.h' +Lines executed:100.00% of 7 +No branches +No calls +Creating 'predefined_ops.h##fa840da21c09ce1cea4b2cd605c79917.gcov' + +File '/home/runner/work/z3/z3/src/smt/smt_conflict_resolution.h' +Lines executed:0.00% of 4 +Branches executed:0.00% of 4 +Taken at least once:0.00% of 4 +No calls +Creating 'smt_conflict_resolution.h##5b4fc6071e056ab087c807fc004a515f.gcov' + +<< End of stdout +Stderr of gcov was >><< End of stderr +Current processed gcov file was '/home/runner/work/z3/z3/sparse_matrix.h##2bbf9c9eae71026a57f0f7871b8009c8.gcov'. +Use option --verbose to get extended information. +Traceback (most recent call last): + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/workers.py", line 80, in worker + work(*args, **kwargs) + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/read.py", line 422, in process_datafile + done = run_gcov_and_process_files( + ^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/read.py", line 709, in run_gcov_and_process_files + process_gcov_data(fname, abs_filename, covdata, options) + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/read.py", line 231, in process_gcov_data + insert_file_coverage(covdata, coverage, get_merge_mode_from_options(options)) + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 197, in insert_file_coverage + return _insert_coverage_item(target, file.filename, file, merge_file, options) + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 175, in _insert_coverage_item + merged_item = merge_item(target_dict[key], new_item, options) + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 216, in merge_file + left.functions = _merge_dict( + ^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 139, in _merge_dict + _insert_coverage_item(left, key, right_item, merge_item, options) + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 175, in _insert_coverage_item + merged_item = merge_item(target_dict[key], new_item, options) + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 295, in merge_function + raise AssertionError( +AssertionError: Got function simplex::sparse_matrix::column::~column() on multiple lines: 87, 116. + You can run gcovr with --merge-mode-functions=MERGE_MODE. + The available values for MERGE_MODE are described in the documentation. +Traceback (most recent call last): + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/workers.py", line 80, in worker + work(*args, **kwargs) + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/read.py", line 422, in process_datafile + done = run_gcov_and_process_files( + ^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/read.py", line 709, in run_gcov_and_process_files + process_gcov_data(fname, abs_filename, covdata, options) + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/read.py", line 231, in process_gcov_data + insert_file_coverage(covdata, coverage, get_merge_mode_from_options(options)) + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 197, in insert_file_coverage + return _insert_coverage_item(target, file.filename, file, merge_file, options) + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 175, in _insert_coverage_item + merged_item = merge_item(target_dict[key], new_item, options) + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 216, in merge_file + left.functions = _merge_dict( + ^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 139, in _merge_dict + _insert_coverage_item(left, key, right_item, merge_item, options) + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 175, in _insert_coverage_item + merged_item = merge_item(target_dict[key], new_item, options) + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 295, in merge_function + raise AssertionError( +AssertionError: Got function simplex::sparse_matrix::column::~column() on multiple lines: 87, 116. + You can run gcovr with --merge-mode-functions=MERGE_MODE. + The available values for MERGE_MODE are described in the documentation. +(ERROR) Error occurred while reading reports: +Traceback (most recent call last): + File "/usr/lib/python3/dist-packages/gcovr/__main__.py", line 362, in main + covdata: CovData = gcovr_formats.read_reports(options) + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/formats/__init__.py", line 66, in read_reports + covdata = GcovHandler(options).read_report() + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/__init__.py", line 202, in read_report + return read_report(self.options) + ^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/read.py", line 79, in read_report + with Workers( + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/workers.py", line 173, in __exit__ + self.wait() + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/workers.py", line 164, in wait + raise self.exceptions[0][1] + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/read.py", line 86, in read_report + contexts = pool.wait() + ^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/workers.py", line 164, in wait + raise self.exceptions[0][1] + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/workers.py", line 80, in worker + work(*args, **kwargs) + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/read.py", line 422, in process_datafile + done = run_gcov_and_process_files( + ^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/read.py", line 709, in run_gcov_and_process_files + process_gcov_data(fname, abs_filename, covdata, options) + File "/usr/lib/python3/dist-packages/gcovr/formats/gcov/read.py", line 231, in process_gcov_data + insert_file_coverage(covdata, coverage, get_merge_mode_from_options(options)) + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 197, in insert_file_coverage + return _insert_coverage_item(target, file.filename, file, merge_file, options) + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 175, in _insert_coverage_item + merged_item = merge_item(target_dict[key], new_item, options) + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 216, in merge_file + left.functions = _merge_dict( + ^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 139, in _merge_dict + _insert_coverage_item(left, key, right_item, merge_item, options) + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 175, in _insert_coverage_item + merged_item = merge_item(target_dict[key], new_item, options) + ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ + File "/usr/lib/python3/dist-packages/gcovr/merging.py", line 295, in merge_function + raise AssertionError( +AssertionError: Got function simplex::sparse_matrix::column::~column() on multiple lines: 87, 116. + You can run gcovr with --merge-mode-functions=MERGE_MODE. + The available values for MERGE_MODE are described in the documentation. + +Got function simplex::sparse_matrix::column::~column() on multiple lines: 87, 116. + You can run gcovr with --merge-mode-functions=MERGE_MODE. + The available values for MERGE_MODE are described in the documentation. diff --git a/coverage-summary.txt b/coverage-summary.txt new file mode 100644 index 000000000..8ffcbd2e8 --- /dev/null +++ b/coverage-summary.txt @@ -0,0 +1,1918 @@ +------------------------------------------------------------------------------ + GCC Code Coverage Report +Directory: . +------------------------------------------------------------------------------ +File Lines Exec Cover Missing +------------------------------------------------------------------------------ +build/CMakeFiles/3.31.6/CompilerIdCXX/CMakeCXXCompilerId.cpp + 9 0 0% 894,896-899,901,915-916,918 +build/src/ackermannization/ackermannization_params.hpp + 6 3 50% 10-12 +build/src/ackermannization/ackermannize_bv_tactic_params.hpp + 6 6 100% +build/src/api/api_commands.cpp 5687 0 0% 4-11,13-20,22-2672,2674-2684,2686-2688,2690-3521,3523-5696 +build/src/api/api_log_macros.cpp 5333 0 0% 5-3573,3575-3581,3585-3590,3592-3597,3599-3604,3606-3611,3613-3618,3620-3625,3627-3632,3634-5348 +build/src/api/api_log_macros.h 1 1 100% +build/src/api/dll/gparams_register_modules.cpp + 58 58 100% +build/src/api/dll/install_tactic.cpp 186 186 100% +build/src/api/dll/mem_initializer.cpp 16 16 100% 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55-56,68-73,82-89,98,100-103,105-108,110-114,116-118,121-130,133,135-147,149-154,157-162,188-196,198-202,204-205,208-220,222-224,231,233-235,237-239,241-245,247-263,269,272-275,278-279,281-289,291-293,295-318,320-341,343-346,433-434,437-438,555-559,564,567-572,577-581,583-584,586,588,590-597,599-605,607,609-610,613-615,618-620,623-625,627-634,636-638,640,642-644,647-649,652-653,656-657 +src/math/hilbert/hilbert_basis.cpp 820 0 0% 166-168,177-180,183,185,193-194,198-204,206-208,210-212,214-217,219-221,224-226,228-230,232-233,236,238,254-255,270,272-279,281-287,289,291-297,299,301,303-306,308-309,313-315,317,319-328,330-340,342-349,351-358,361-368,379-381,391-397,402-405,407-408,410-414,416-417,420-426,429,431-435,437-439,441-442,447-450,452,454-456,458,461-462,465-466,469-472,480-482,490-492,509-515,519-522,524-525,527-533,535-536,538-539,541-552,554-555,557-564,566-571,573-574,576-577,580-594,597-598,604-607,609,611-614,616,619-620,623-624,627-636,638,641-644,648-652,654-657,659-663,665-666,669-670,673-692,694,696-702,704-707,709-718,720-726,728-737,739-741,743-745,747-749,751,756-757,759-760,763-765,768-769,771,773-774,777-788,790-800,802-810,818-820,822,824-825,827-828,830-850,852-855,857-861,863-871,873,875-881,883,885-891,893-901,904-921,923-926,928-930,934-938,940,942-950,952-956,958-964,966,968-969,972,974-976,978-983,985-992,994-1001,1004-1016,1018-1028,1030-1037,1040-1053,1056-1069,1072-1075,1077-1090,1095,1098-1102,1104,1107-1109,1111,1113-1114,1117-1121,1123-1126,1128,1130-1131,1133,1135-1137,1139-1140,1142-1144,1146-1150,1152-1155,1157-1158,1160-1162,1164-1167,1169-1170,1172-1173,1175-1181,1184-1227,1229-1232,1234-1239,1241-1248,1250,1252-1264,1266,1268,1299-1311,1316,1319-1323,1325-1327,1329-1331,1334,1336 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63-66,78,87-92,94-105,107-108,110-115,119-126,128-130,133,135,137-141,143-147,151,155-158,160,170-177,186,189-191,193-195,197-200,202-203,206-211,221-225,227-228,230,232-235,237-240,243,255-257,266,268-270,272,274,276-280,284-290,293,295-298,300-301,305-312,318-319,322-323,326-328,331,333,335-337,340-341,346,349-350,353,355-356,359-360,365-369,371-372,374,377,384-392,395-396,404-410,413-424,426-431,434-440,448-449,452-465,468,470-476,478,480,483-490,492-495,497,500-501,510-524,526-530,533-539,547-548,551-562,565,567-573,575,577,580-585,587-589,591,594-598,608-611,622-632,635-641,644-650,667,688-696,699-704,708-712,715-720,722-723,725,727-730,732-733,736,739-742,745-749,751-754,756-758,760,762-766,768-771,773-775,777-778,780-787,790-791,820-823,826-829,832,834-843,846-854,856-857,859,862-865,867-870,872-880,882-885,887-890,892,894-899,901-904,906-909,912-915,917,920-923,926-930,933-936,941-943,976-978,1026-1027,1113-1116,1118-1121,1123-1128,1130-1134,1136-1138,1142-1146,1148-1150,1152,1227-1229,1260-1261,1263,1265-1266,1268,1284-1285,1369-1370,1381-1383,1394-1397,1400-1404,1407-1412,1414-1419,1422-1426,1428-1433,1435-1436,1439-1442,1444-1445,1448-1451,1454-1460,1462-1464,1467,1469-1478,1480,1482-1483,1485,1488-1492,1494-1495,1497,1500-1506,1509-1511,1513,1515,1518-1521,1524,1529-1530,1532-1533,1536,1540-1544,1546-1551,1553-1558,1561-1565,1569-1573,1575-1580,1582-1587,1590-1593,1595,1597,1599,1601,1612-1613,1723-1726,1764-1768,1788-1792,1858,1860-1878,1881,1893-1899,1902-1908,1911-1912,1914-1915,1918-1925,1928-1934,1937-1944,1947-1950,1953-1966,1969,1978-1979,1981,1983-1989,1991-1994,1996-1998,2001-2007 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56-59,194,247,408-409,433-445,447-448,450-455,457-459,461-463,465-467,471,473-475,477-478,499-510,512-514,600 +src/math/lp/hnf_cutter.cpp 172 163 94% 28,59-61,106-107,153,194,241 +src/math/lp/hnf_cutter.h 2 2 100% +src/math/lp/horner.cpp 80 75 93% 36,86,88,102-103 +src/math/lp/horner.h 0 0 --% +src/math/lp/implied_bound.h 14 14 100% +src/math/lp/incremental_vector.h 20 20 100% +src/math/lp/indexed_vector.h 6 6 100% +src/math/lp/indexed_vector_def.h 43 18 41% 28-32,53-57,66-72,76-83 +src/math/lp/int_branch.cpp 21 20 95% 51 +src/math/lp/int_cube.cpp 68 49 72% 42-46,48,50-56,61,76,79-82 +src/math/lp/int_gcd_test.cpp 204 193 94% 98,159,224,274,278,294-296,309-311 +src/math/lp/int_gcd_test.h 7 7 100% +src/math/lp/int_solver.cpp 502 411 81% 244,261,302,317-318,323-326,334,340-350,352-355,357-362,364-367,369,371-372,374-380,382-383,450-456,458-468,488-489,504-505,508-509,530,613-615,675-678,681-682,689,694,696,734,738,890,892,895,898,916 +src/math/lp/int_solver.h 1 1 100% 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115-116,118-123,125-128,131-139,141,148,212,238,255,263,287-293,295,297-300,302-308,310-330,332-342,344-356,358-361,363,365-366,382-385,424,427,429,431-439,441-445,447-451,468,487,494-495,532-533,612,617-619,621,623,625-626,628-629,635-636,638-639,641,643-647,650-657,660,663-667,669-670,672,675,677-678,680-684,688-689,739,793-795,820-827,852,881-883,891-892,894-895,897-899,905,930-933,935-936,938,940-945,947,949-950,954-957,964-966,968-974,976-990,992-1007,1009-1023,1025,1027-1034,1036-1042,1044-1046,1048,1050-1053,1055-1062,1064-1066,1068-1069,1071-1072,1074-1076,1078,1082-1086,1088,1090-1091,1093-1097,1099,1101-1102,1104-1107,1152,1156,1165-1166,1186,1216-1220,1287-1288,1292-1298,1302,1308,1313,1326,1328-1330,1334-1339,1341-1343,1346,1348-1352,1355-1356,1359-1360,1390-1394,1396,1398-1400,1403,1405-1414,1426,1445,1486,1496-1499,1501,1503-1504,1506,1508,1522,1524,1582-1584,1588,1590,1594,1597,1614,1618,1623-1626,1628-1636,1638-1639,1641-1648,1650-1653,1735-1736,1752-1754,1756-1758,1767-1770,1849-1856,1865-1870,1906,1914,2017,2039,2062,2123,2128,2133,2135-2136,2138,2155,2157-2158,2161-2167,2169-2170,2172,2185-2186,2189-2196,2198-2199,2201-2202,2204-2205,2207-2208,2210-2211,2213-2224,2227-2228,2230-2232,2234,2236-2237,2260,2271-2274,2276-2277,2373,2384-2385,2436-2437,2463-2464,2486-2487,2521-2522,2525-2526,2529-2531,2533-2534,2536-2539,2541-2543,2555,2567,2573-2586,2588,2590-2597,2599,2601-2605,2607-2610,2613-2616,2619-2620,2628,2645,2655,2693,2721-2723,2729-2736,2747,2776,2783,2786-2792,2794-2801,2803,2805-2813,2815,2818-2819,2821-2822,2824,2827,2829,2831,2833-2835,2838-2841,2843-2846,2850-2852,2855-2857,2860-2861,2864-2869,2874-2881,2883,2886,2888-2890,2893-2895,2897,2900-2904,2906-2909,2911-2914,2916-2919,2923,2926-2927,2929,2932,2934-2936,2939,2942-2948,2952,2954-2958,2960,2962-2967,2970,2974-2975,2977,2980-2985,2987-2991,2994,2997-2999 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83,86,110-113,117-123,125,137-138,141-142,144,146-147,149,151-155,157-158,162-163,195-197,204-205,216-217,237,241,257,267,283,316,323,331-333,335-337,339-342,344,347-351,353-354,356,369,372,375,378,399 +src/math/lp/lp_primal_core_solver.cpp 0 0 --% +src/math/lp/lp_primal_core_solver.h 361 223 61% 62,78,108,135,162-172,174-175,177-180,182-184,189,245,248,250-252,254,256-258,260,262-264,266,268-270,343,364-365,372-373,381-382,417,420,423-430,432-433,435,438-445,448-449,451,454-458,460,463-467,469,473-474,476-485,487,489,494-505,507,514-515,533-535,537-538,547-549,551-552,571-573,578-583,589-590,592-593,609 +src/math/lp/lp_primal_core_solver_def.h 87 76 87% 67-68,96-97,124-125,206,219,221-222,224 +src/math/lp/lp_primal_core_solver_tableau_def.h + 203 180 88% 60,79-80,97-98,103-104,116-117,123-124,133-134,180,193,240-242,244-245,253-254,261 +src/math/lp/lp_settings.cpp 20 20 100% +src/math/lp/lp_settings.h 178 164 92% 89-90,193-194,214,332-336,370-372,399 +src/math/lp/lp_settings_def.h 48 0 0% 27-37,39-51,53-56,58-68,84-89,91,93-94 +src/math/lp/lp_utils.h 116 16 13% 28-31,74-85,88-91,94-97,99-100,103-117,120-126,130-138,140-141,143-144,146-147,167-172,174-176,178-179,182-184,187,189,193-199,201-203,205-208,211-213,216-217,219-220 +src/math/lp/matrix.h 9 1 11% 48-52,54,56-57 +src/math/lp/matrix_def.h 52 0 0% 28-34,36,38-41,66-76,79-89,91-92,94-97,99-101,117-123,125-126 +src/math/lp/mon_eq.cpp 18 0 0% 10-15,17,19-21,23-24,26,29-31,33-34 +src/math/lp/monic.h 41 37 90% 45,90-92 +src/math/lp/monomial_bounds.cpp 376 305 81% 22-24,27,33,41-43,46-51,53-68,70-75,79,112,126,159-167,169-172,174-175,198-202,226,374,467-470,509-514 +src/math/lp/monomial_bounds.h 0 0 --% +src/math/lp/nex.h 205 122 59% 19-20,22-23,25-26,28-29,31-32,34-35,37,54,78-81,86-87,92,95,109,111,124,145-150,152,154-157,160,168,191-192,194,204,206-217,220,314-321,323-329,331-332,335-337,351-352,361,384-385,433-435 +src/math/lp/nex_creator.cpp 501 421 84% 29-30,46-50,113-114,117-118,155-156,173,175-176,195,202-203,205-206,211-213,215-216,243-244,253,256,265-266,269-270,276-277,280-281,284-285,292-293,307,318,320-321,326,334,336,340,343,346-347,349,351-352,355,390-392,418,452,472,494-496,513,516,525,541,564-565,569-570,579-583,618 +src/math/lp/nex_creator.h 119 103 86% 21-22,37-41,48-49,74-77,123-124,126 +src/math/lp/nla_basics_lemmas.cpp 459 187 40% 21-28,30-40,42-44,46-53,55-57,59-65,67-69,71-76,78,83-85,104,113,127,145,151-153,157-160,163-168,170-172,174-175,177-181,183-184,186-191,193-194,196-200,209-215,222,224-226,228-234,236-239,265,269-279,281-288,290-291,294-309,316-317,319-320,322-323,325-326,328-339,341-344,348-356,364-365,426-440,442-443,446-450,453-454,459-466,468-471,474-475,480-486,537,545,551-552,559-564,566,568,609,612-613,639-642,644,646-650,653-654,656-660,668-671,673 +src/math/lp/nla_basics_lemmas.h 0 0 --% +src/math/lp/nla_common.cpp 66 48 72% 25-26,36-37,42-43,46-47,50-51,73-74,91-92,95-97,122 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43,213,246,261-263,409-415,454-455,460,464-468 +src/math/lp/nla_defs.h 18 11 61% 42,44-45,49,59,61,91 +src/math/lp/nla_divisions.cpp 151 69 45% 23,28-33,37,39,53,58-65,72-79,86-93,100,102,104,106,108,110,116,127,132,137-141,143-156,172,177,180-181,183,186-193,195-200,202 +src/math/lp/nla_divisions.h 1 1 100% +src/math/lp/nla_grobner.cpp 739 631 85% 29,45,48,65,95,148,153-157,162,202,234,249,255,286,306,328,334,374,376,459-464,466-468,470-471,473-476,478-481,483-486,488-492,494,536-538,568,572-580,582-592,631-632,678,718,888-894,931-935,979-988,991-996,1000 +src/math/lp/nla_grobner.h 4 4 100% +src/math/lp/nla_intervals.cpp 356 207 58% 14-17,19-20,29,57,62-64,66-71,73-75,77-81,83-85,97,128,130,142-143,146,182-183,188-197,199-207,209-212,214-219,221-225,227-231,233-243,281,283-284,286,288-289,295-299,301,305,316,321,337-339,341-342,345-346,349-350,353-354,360,367-369,371-372,374-380,382-383,385-388,390-391,401-402,405-407,415,447,449-450,455,457-458,468-470,477 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18-22,24-26,28,30-31,34-39,41-42,45-46,48-55,57-58,61-65,67,70-72,74-77,79-82,85-86,90-95,98-103,105-107,109,112-119,121-122,124-127,129-131,133-138,140-142,144-147,150-165,167,169-170,172-180,182,185-191,202-211,213-216,218-219,222-226,228,231-236,238-241,243,245-246,248-261,263-269,271,273-278,280-281,283-302,304,306,308,310-312,314-317 +src/math/lp/nla_solver.cpp 70 55 78% 27-29,43-44,69-70,77-81,86,107-108 +src/math/lp/nla_solver.h 2 2 100% +src/math/lp/nla_tangent_lemmas.cpp 120 108 90% 66-69,99,111,126,142-143,165,180-181 +src/math/lp/nla_tangent_lemmas.h 14 11 78% 33,37,40 +src/math/lp/nla_throttle.cpp 54 41 75% 32,34-41,43-46 +src/math/lp/nla_throttle.h 16 14 87% 77-78 +src/math/lp/nla_types.h 31 17 54% 31-33,39,44-45,57-58,98,102-103,109,115,121 +src/math/lp/nra_solver.cpp 455 259 56% 67,170,173-174,178-182,194-195,209,211-212,216,218-219,243-261,318-319,321-322,359,361-363,366-379,382-383,385-386,388-390,392-393,395-396,398,400-408,410-420,422,424,426-427,429-439,442,444-445,447-449,451,453,455-456,458,467-468,470-472,474-487,489-493,495-499,501-503,505-507,512-522,530-544,558-559,625-629,631-634,650-651,654-655,658-659,662-663 +src/math/lp/numeric_pair.h 102 84 82% 47,51,91,135-136,143-144,151-152,181,195,227,231,235,244,258,263,268 +src/math/lp/permutation_matrix.h 21 7 33% 80-81,83-86,91-98 +src/math/lp/permutation_matrix_def.h 26 19 73% 37-43 +src/math/lp/random_updater.cpp 0 0 --% +src/math/lp/random_updater.h 0 0 --% +src/math/lp/random_updater_def.h 37 37 100% +src/math/lp/stacked_vector.h 71 67 94% 28,136-138 +src/math/lp/static_matrix.cpp 0 0 --% +src/math/lp/static_matrix.h 132 114 86% 37-38,57-60,89,97,112-114,175-177,179,221-222,321 +src/math/lp/static_matrix_def.h 283 110 38% 34-42,159-162,164-172,174,178-180,183-185,188,191-198,200-208,210,214-216,219-221,224,233-236,238-241,266-270,272-274,277-286,288-301,304-313,315-328,395-398,401-402,404-410,412-421,423-437,439,441-452,454-456 +src/math/lp/var_eqs.h 158 79 50% 43-46,48,63,113,154,158-161,221-228,230,232-235,237-248,250-260,262,264-267,269,271-274,276,279,282-284,289-291,322-330,332-334,336 +src/math/lp/var_register.h 67 59 88% 26-27,30,37,46-48,81 +src/math/polynomial/algebraic_numbers.cpp + 1908 1625 85% 60-62,131,225,250-252,256-258,260,262-264,266,306-307,364,606,675,701-708,726,731,786,793-798,804,852,895,917,925-926,935,963,997-998,1000-1001,1003,1005,1007-1008,1014-1015,1022-1025,1084,1121-1124,1162,1172-1173,1181,1193,1195-1197,1255-1256,1308-1309,1349-1350,1358-1359,1371,1381,1398,1400-1401,1408-1409,1412-1415,1467-1468,1508-1510,1514-1515,1523,1525,1529-1530,1532,1577,1580-1581,1615,1617-1618,1665-1667,1674-1675,1696-1697,1707-1708,1757,1821,1824,1832,1838,1843-1850,1864,1906-1907,1909,1977-1979,1981-1982,1993-1997,1999-2002,2004-2005,2012-2015,2017,2020-2021,2023-2026,2028,2056,2063,2144-2145,2159,2162-2163,2172,2268,2280-2281,2324,2389-2390,2415,2436,2441,2540-2541,2570,2577-2579,2584-2587,2656,2757-2760,2762-2765,2767-2770,2772,2777-2778,2780-2790,2842,2846,2848-2851,2853-2857,2859-2862,2864-2868,2931-2932,2987-2989,3053-3057,3063-3064,3067-3071,3077-3081,3087-3088,3108-3110,3112-3116,3135-3137,3139-3143,3162-3163,3170-3172 +src/math/polynomial/algebraic_numbers.h 51 42 82% 64,405-409,430-432 +src/math/polynomial/linear_eq_solver.h 90 78 86% 95,97,138-147 +src/math/polynomial/polynomial.cpp 5035 3688 73% 59-63,67-82,126-130,139,187,194-195,249,272-282,284,286-287,318-321,323-324,326-328,330-338,340-347,349-351,353-354,381,385-386,391,402-408,410-420,422,429-435,440,526-531,554,564-565,583,596,655,702,722-733,735-736,738,740,742-747,754-758,765-769,771-772,818-819,897,920,922,1000,1019,1063-1069,1090-1108,1110,1112-1119,1121,1123-1142,1144-1146,1148-1155,1157-1160,1163,1165-1169,1173-1175,1177,1179-1183,1185-1186,1188-1200,1211,1501,1517,1529-1530,1570,1579-1587,1589,1591,1593-1603,1605,1607,1609-1613,1615,1617-1623,1625-1630,1632,1634-1636,1667-1670,1673-1681,1683,1685,1687,1689-1696,1702-1706,1712-1713,1732-1733,1768-1769,1796-1797,1800-1805,2017,2042-2043,2050-2051,2058-2060,2087,2142-2149,2151-2163,2173-2181,2223-2224,2235,2266,2280,2293,2314-2321,2573-2576,2578-2583,2585-2589,2591,2593,2595,2600-2606,2671-2680,2682-2687,2689-2698,2700,2702,2715-2722,2733-2741,2743,2745-2746,2753-2754,2756,2762-2766,2768-2771,2775,2777,2779-2782,2786,2788-2804,2887-2891,2921,2956-2957,2964-2965,2968-2969,2972-2973,2992-2993,3055,3063-3065,3077,3251-3257,3376,3389-3403,3437-3438,3458,3506,3613,3619-3628,3682-3683,3701-3710,3715-3718,3720,3722,3724-3727,3730-3735,3737,3745-3747,3750-3752,3773,3793-3796,3799-3802,3984-3986,3989-3991,4067-4069,4074-4077,4079,4092-4096,4098-4100,4149-4150,4153-4154,4169,4179-4182,4204,4218-4222,4225-4229,4401,4502,4512,4516-4517,4533,4552-4555,4557,4632-4633,4637-4638,4658-4660,4663-4666,4668-4669,4688,4701-4703,4706-4708,4818-4820,4827-4832,4836-4838,4842,4867,4869-4872,4874-4876,4879-4884,4886-4893,4895,4897,4899-4901,4903-4908,4912-4913,4916-4917,4928,4978,4993-5008,5019,5033-5034,5042-5051,5053-5054,5056-5060,5062-5073,5075-5077,5079-5081,5140-5141,5173-5174,5181-5185,5188-5195,5198-5208,5210-5214,5216-5220,5258,5263-5265,5267-5269,5271-5272,5274-5275,5281-5284,5314,5316,5320,5369,5380,5426,5428-5429,5431-5433,5435-5436,5438-5439,5441,5443-5450,5452,5454,5499,5527,5534,5584-5592,5594-5598,5604-5605,5608-5609,5613,5706-5707,5712-5713,5715-5716,5803,5819-5820,5917-5919,5921-5923,5925-5936,5938-5941,5943-5947,5949-5952,5979-5984,6006,6041,6044-6047,6133,6143-6144,6223,6231,6274-6288,6290-6299,6301-6313,6315-6327,6329-6338,6340-6349,6351-6359,6361-6365,6368-6372,6375-6376,6378-6381,6383,6385-6387,6389,6391-6392,6565-6571,6574-6577,6638-6642,6644-6657,6659-6661,6775,7062-7063,7083,7103-7125,7127-7133,7135-7137,7139-7144,7146-7159,7161,7163-7164,7203-7204,7207-7208,7211-7212,7215-7216,7223-7225,7227-7229,7259-7261,7263-7264,7271-7273,7295-7296,7311-7312,7315-7316,7319-7320,7323-7324,7327-7328,7331-7332,7335-7336,7343-7344,7359-7360,7367-7368,7371-7372,7392-7393,7396-7397,7412-7413,7416-7417,7424-7426,7428-7430,7432-7433,7436-7437,7440-7443,7445-7451,7453-7455,7457-7459,7465-7467,7473-7475,7477-7478,7481-7483,7485-7486,7493-7494,7497-7498,7501-7502,7509-7511,7517-7519,7521-7523,7525-7526,7533-7535,7541-7543,7545-7547,7549-7550,7553-7554,7557-7558,7561-7563,7577-7578,7581-7582,7585-7586,7589-7590,7593-7594,7597-7598,7613-7618,7620-7622,7629-7630,7633-7634,7637-7639,7649-7650,7653-7654,7657-7658,7661-7662,7665,7667-7668,7682-7684,7693-7695,7713-7721,7735-7742 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96-105,115-121,158,240-248,250-253,351-352,423-424,524,654,712-713,715-716,756-757,760-761,784-787,810,816-818,821-823,843,854,860-862,878-880,883-885,899,944,983,994-998,1002-1003,1132,1169,1188-1189,1193-1194,1207-1209,1278-1279,1305,1307,1340-1352,1357-1358,1364,1433-1443,1447-1452,1459,1469-1481,1484-1493,1538,1560,1582,1605,1621,1638,1651,1664-1674,1686,1715,1739,1772,1774,1799,1802-1813,1815,1817-1818,1822,1828,1834,1846,1864,1895-1897,1904,1911-1930,1932-1936,1938-1940,1942-1944,1946-1949,1995,2185-2186,2215-2219,2363-2372,2375-2379,2381-2386,2389,2391-2398,2400-2404,2406-2408,2437-2439,2441-2452,2459-2461,2463,2465-2466,2468-2470,2472-2473,2480-2481,2529-2534,2560,2696-2698,2702-2705,2776-2779,2848-2850,2893-2895,2917-2918,2925,2929-2930,2939-2940,3025,3082,3089 +src/math/polynomial/upolynomial.h 95 88 92% 41,97-99,361,464-465 +src/math/polynomial/upolynomial_factorization.cpp + 594 425 71% 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47-54,66,123,125-127,129-130,133-134,141,144,146,149-151 +src/math/realclosure/realclosure.cpp 3790 0 0% 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103-107,159-160,162-163,165-166,168-169,171-172,178,201-203,243,257-258,260,264,266,274-283,285,287-291,293,295,297-302,304,306,308,311-314,337,353,379,381,384-387,405-406,409-413,440-445,488,490-500,504,509,512,520-530,532-533,565-566,568-569,571-572,585-586,606,622,628,635,667-669,675-680,682-685,717-726,738-745,748-762,764-770,776,783-784,792-807,809-817,819-838,840-853,855-858,860,862-867,876-892,896-903,914-924,926,928-935,937-942,947-950,958-959,962-971,1004,1027-1033,1035-1037,1082,1148,1150,1154,1156,1159,1161,1165,1167 +src/opt/maxlex.cpp 132 103 78% 72-73,75,121-123,138-140,142-143,164,168-173,175-178,180,203-206,208,210 +src/opt/maxsmt.cpp 280 163 58% 54-58,110-112,114-115,117-119,150-153,155,193,195,197,199,202-203,205-208,217-219,236-241,249-251,254,256,316,318-325,327,330-333,335-337,342,345-348,350-351,354-356,366-391,393-396,399-403,405-408,410-414,416-419 +src/opt/maxsmt.h 16 13 81% 34,90-91 +src/opt/opt_cmds.cpp 99 81 81% 64-65,85,91-93,97,125-126,133,139-141,156-157,162-164 +src/opt/opt_context.cpp 1338 990 74% 94-95,103,117,122,151,179-181,183-185,189-191,199-209,217-223,247-249,251,255-256,296,305,310-311,317,332-333,338-339,350,353-355,381-382,409-422,424-430,442-444,446-448,465,468,489,532-535,538-540,543-544,591,593-597,599,601,603,605,638-642,644,646-647,672-674,676-677,679-680,682-688,690,692-693,717-719,740,758,769-774,782-783,815,829-830,878,885,927-935,937-938,940-944,947-948,975,986-989,995,1021-1023,1053-1055,1096,1173-1174,1209,1212,1215-1216,1233,1239-1241,1243-1244,1253,1262-1264,1357,1372,1400-1402,1417-1419,1423,1431-1432,1446-1447,1458,1469-1470,1476,1487-1488,1494,1496-1498,1500-1507,1521,1528-1531,1533,1535,1537,1539,1562-1573,1584-1585,1587-1588,1591,1604,1608-1609,1612-1639,1655-1656,1658-1659,1664-1665,1675-1678,1685-1688,1690-1694,1696,1698-1701,1703-1704,1708-1709,1711-1712,1789-1791,1793-1795,1797-1798,1800-1802,1805-1806,1808-1825,1827,1829,1831-1832,1834-1835 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28-42,44-52,54-57,59,61,69-74,76,79-82,84-87,89-90,92-95,97-106,108-110,112,122,125-135,137-139,141-146,150-152,154-159,161-167,169-173,175-178,180,182,193-197,199-205,207-210,212-213,215-226,228-230,232-236,238-243,245,248-249,251-257,259-262,264-267,269,271-272,274-276,278-282,284-292,294,297,300-304,306-310,322-323,326-328,331,333,340-341,343-344,346-348,350-351,353-355,357-358,360-361,364-366,368-369,372-375,383-387,389-395,397-405,407-410,412-415,417,419-425,427-434,436-440,442-448,450,452-455,458-460,462,464-465,468-469,472-473,476-499,524-525,528,531,543-544,546-550,553-554,557-561,563-567,569-573,575,577,580-581,585-589,591,593-596,598-599,601-608,610-621,623-639,641-643,645-651,653-659,661,663-669,671,673-674,676-684,686-687,690-691,694-695,698-699,702-703,706-712,714-720,722-727,733-764,766,768,770-780,782,784-789,791-793,795-799,801-807,809-813,815-821,823-833,835-857,859-872,874-883,887-891 +src/opt/opt_preprocess.cpp 158 83 52% 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47-57,59-60,62-68,74-76,88-90,187,198,202-204,224,227,250-253,255,258-265,268-274,276-278,280 +src/sat/sat_big.h 6 3 50% 80-81,86 +src/sat/sat_clause.cpp 171 116 67% 66,69-74,114,117-118,121-122,128-129,132,135,140-142,163-165,186-195,206-216,219-221,223,231,239,242-245,247,249 +src/sat/sat_clause.h 64 48 75% 88-92,94-95,105,144,182,188-191,193-194 +src/sat/sat_clause_set.cpp 42 39 92% 66-67,88 +src/sat/sat_clause_set.h 4 3 75% 37 +src/sat/sat_clause_use_list.cpp 26 13 50% 24-34,36,53 +src/sat/sat_clause_use_list.h 60 50 83% 80-84,86-90 +src/sat/sat_cleaner.cpp 148 123 83% 71-73,75-76,125-127,129-131,173-176,179-181,184-188,190-191 +src/sat/sat_cleaner.h 1 1 100% +src/sat/sat_config.cpp 202 154 76% 41,43,46-47,49,57,59,61,64-69,71,105,125,127,129,131,135,139-146,148,159,174-179,181,221,238-240,246-247,249,254-255,257 +src/sat/sat_cut_simplifier.cpp 521 32 6% 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27-28,41,55,59,61-62,64-66,69-71,73-77,79-80,82-83,92,96,101,106,109-110,115-121,123-128,130-131,134-135,137-139,141-145,147-148,150-151,177-180,184,186-191,198 +src/sat/sat_cutset_compute_shift.h 132 0 0% 23-24,27,29,32,34,36,41,44,46,48,50,52,57,62,71,74,76,78,80,82,84,86,88,90,96,101,109,114,121,130,147,150,152,154,156,158,160,162,164,166,168,170,172,174,176,178,180,182,189,195,204,209,217,225,239,244,252,259,269,278,291,308,341,344,346,348,350,352,354,356,358,360,362,364,366,368,370,372,374,376,378,380,382,384,386,388,390,392,394,396,398,400,402,404,406,408,416,423,433,439,448,457,472,477,486,494,505,513,527,541,567,572,581,589,600,607,617,627,643,652,667,680,699,716,741,774,839-840,842-843,845 +src/sat/sat_ddfw_wrapper.cpp 58 0 0% 16-23,26-30,32-33,36-38,40-43,46-56,58-62,64-79,81-84 +src/sat/sat_ddfw_wrapper.h 13 0 0% 29-31,38,40,46,48,50,52,56,61,65,67 +src/sat/sat_drat.cpp 594 18 3% 33-38,46,59-62,65-69,73,75,77-94,96-106,108-120,122-127,129-135,137-138,140-157,159-168,170-180,182-183,185-188,191-192,194-198,200-204,206-207,209,211-212,214-221,223-228,230,232-236,238-239,241-245,247-254,256-258,260-261,263-264,266,268-269,271-272,274-279,282,284-290,292-293,295-302,304,306-310,312-316,318-319,321-327,329-336,338-339,344-345,347-351,353-354,363-371,373-376,378,380-396,398,400,402-411,413-415,418-419,421,434,436-438,440,442-445,447,449,451,453,455-464,466-467,469-470,472-481,484-488,490,492-512,515-516,518-519,521,524-538,540-542,545-547,549,551-552,554,556-558,560,562-569,571-579,582-584,586-590,592-602,604-606,609-611,614,616-619,621-625,627-647,649-658,660-665,667-669,671-673,675-680,682-684,686-688,690-699,701-703,706-709,711-717,719-726,728,740-745,747-748,751-752,755-761,763-764,766-771,774-777,779-791 +src/sat/sat_drat.h 16 6 37% 45-46,112,114,122,127,129,137-138,140 +src/sat/sat_elim_eqs.cpp 222 169 76% 56-62,65,94-95,125-127,160,179-185,187-191,207-209,233,240-242,262-264,273,276,294-305,307,310-311 +src/sat/sat_elim_eqs.h 1 1 100% +src/sat/sat_extension.h 63 17 27% 43,52-55,57-62,78,80,84-85,88,91-92,94,97-98,100,106-107,109-112,116-127,129-130,132,134,136,138 +src/sat/sat_gc.cpp 283 53 18% 34,37-45,47-48,50-51,53-54,56-57,59-61,63-66,68-69,71-76,82-85,92-95,102-108,115-121,124-127,129-133,135-139,141-145,150-152,154,159-169,171-172,174-179,181-189,194-195,198,201-225,227,229-231,233-239,242-243,245-253,256-261,263-264,266,268-273,277-281,283,286-288,290-294,296,298,300-304,306-309,311-313,315-316,318-319,321-323,325,330-335,337,345-346,383-388,390-393,395,397,400-401 +src/sat/sat_integrity_checker.cpp 133 112 84% 32,51-54,72,86-87,90-92,119-120,138-140,145-146,186,206-207 +src/sat/sat_justification.h 27 14 51% 43,56-57,59-60,62-63,65-66,68-69,71-72 +src/sat/sat_local_search.cpp 584 430 73% 45-47,61,133-135,176-177,190,197-198,236-238,243-250,257-258,266-267,322-323,346-347,356-360,413-414,417,420-421,457-470,472-473,475-476,478-479,506-507,514,537-551,553-556,558,560,578-581,583,611,613,648-649,652,657-664,666-668,725-734,743-745,747-750,753-757,759,762-765,768-773,775-778,781-785,787-791,794 +src/sat/sat_local_search.h 79 69 87% 63-64,66-67,169,174,235,245,258,266 +src/sat/sat_lookahead.cpp 1949 0 0% 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161 1 0% 28-32,34-39,41-45,47-55,57-63,65-66,69,73-75,77-78,80,83-84,87-94,96,98-99,101-103,105,107-110,113-116,118-125,127,130-133,137-145,147-152,154-158,160,162-163,165,167-169,171-182,184-190,192,194-197,199-206,208,210-212,214-227,230-233 +src/sat/sat_mus.h 9 0 0% 35,52-59 +src/sat/sat_npn3_finder.cpp 459 0 0% 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88,115,175-176,217-218,226,228,236 +src/sat/sat_scc.h 1 1 100% +src/sat/sat_simplifier.cpp 1468 744 50% 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35-36,55-58,61-62,64-66,68-69,80-81,94,99-100,108-109,113 +src/sat/smt/sat_internalizer.h 1 1 100% +src/sat/smt/sat_smt.h 26 21 80% 40,55-56,79-80 +src/sat/smt/sat_th.cpp 201 48 23% 32,36-37,45,54-55,67-68,71-72,79-80,83-84,87-88,104-105,108-110,117-121,123-129,131-137,140-145,148-150,153-155,158-160,163-165,167-172,175-178,180-188,190-191,204-206,208-209,212-213,216-218,220-221,224-225,228-229,232-241,243-251,254-258,261-262,265-266,269-270,273-274,277-278,281-282,285-286,289-290,293-295,298-300,303-314 +src/sat/smt/sat_th.h 62 17 27% 36-38,51,56,65,77,97,113,115,117,119,121,123,128,135,142,144,146,150,172,176,180,190,194,215,218,220,225,254,265-266,268-269,272-273,281-283,289-291,294,296,298 +src/sat/smt/sls_solver.cpp 68 0 0% 27-29,35-37,39-40,43-45,47-49,51,53,55-56,59-60,63-65,67-68,71-73,75-78,80-95,97-99,101-107,109-110,112-117,119-120 +src/sat/smt/sls_solver.h 14 0 0% 74,77,79-80,84-87,89-90,93,101,103-104 +src/sat/smt/specrel_solver.cpp 66 0 0% 28-33,35,37,39-40,43-44,47-48,50-51,54-61,63-64,66-67,70-71,74-81,83-85,87-92,94-96,99-107,110-116 +src/sat/smt/specrel_solver.h 9 0 0% 43-44,49-50,54,65-68 +src/sat/smt/tseitin_theory_checker.cpp 172 0 0% 35-39,41-43,46-56,58-59,62-63,69-72,74-76,78-79,82-90,94-102,104-112,117-128,133-141,144-156,158,161-163,166-173,176-184,187-195,199-209,212-218,221-233,235,238-240,242-255 +src/sat/smt/tseitin_theory_checker.h 21 6 28% 35-36,39,41-45,47-49,51-52,56-57 +src/sat/smt/user_solver.cpp 286 0 0% 24-26,28-30,32-46,48,52-61,63-65,67-70,72-81,83-89,91-102,104-105,107-109,111,113-114,116,118-119,121-122,124,126,128-129,132-135,137-139,141-146,148-153,155-161,163-168,170-175,178-182,184-190,192-200,202-204,206-209,211-223,225-228,230-235,237-239,241-251,253-255,257-262,264-267,269-273,276-284,290-297,299-303,305-313,315-316,319-323,326-329,331-337,339-341,343-348,350-352,354-356,359-367,370-371,373,376-379 +src/sat/smt/user_solver.h 33 0 0% 36,38-40,42-44,46-49,55-56,87,89-90,92-93,95,122,127-131,135-140,142,154 +src/sat/tactic/goal2sat.cpp 776 622 80% 105-108,114,120-121,128-129,155,177,185,188,192-200,202-204,215-219,221-222,251-253,260-266,283-286,297,304,309-310,315-318,369-370,399-403,419-424,432,444-446,451,483,537,564-566,569,577,592-594,600-604,606-611,617,626,639,643,682,684,697-698,700,742-743,751-752,759,775-777,798,800,811-812,853-856,865,878,884,906-910,960-967,969-971,973-975,977,979,981-982,995,1039-1040,1084-1086,1123-1126 +src/sat/tactic/sat2goal.cpp 198 176 88% 112-117,119,122-125,127-129,131-133,196,198,236-237,272 +src/sat/tactic/sat2goal.h 1 1 100% +src/sat/tactic/sat_tactic.cpp 174 131 75% 50-54,99-107,120,141,159-160,170,174,176-177,179,223,245-247,249-253,269-271,282-289 +src/shell/datalog_frontend.cpp 132 3 2% 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56-59,65-67,69,73,75,77-103,105-107,109-110,112,115,118,120-125,127-132,144-146,148-156,164,166-176,178-180,182,186,188,190-191,193-255,257-259,261-263,265-266,268,270-273,275-276,278,280-284,287-291,293-305,307-311,313-318,320-322,324,333-335,337,345,359-360,362-363,370-371,373-374,376-377,379-380,382-383,385-386,398-399,401-402,404-405,407-408,410-411,413-414,416-417,419-420,430-432,434-435 +src/shell/opt_frontend.cpp 105 1 1% 32-39,41-50,52,54-55,58-61,64-73,75-79,81-83,85,87-89,92-99,101-102,104-105,107-108,111-121,124-132,134-135,137-142,144,146-155,157-158,160,162 +src/shell/smtlib_frontend.cpp 121 35 28% 47-53,58-61,64-66,69-73,75,77-79,81-84,86-89,91,93-95,97-100,102-105,107-115,117-118,120,122-134,136-137,139,141,143-145,147-150,152-155,179-180,185 +src/shell/z3_log_frontend.cpp 23 0 0% 27-29,31-32,34-39,41-44,46-49,51-54 +src/smt/arith_eq_adapter.cpp 150 131 87% 84,102,105,219-221,249-254,263,274-278,280 +src/smt/arith_eq_adapter.h 8 8 100% +src/smt/arith_eq_solver.cpp 340 51 15% 35-41,43-47,50-53,56-71,73,75,84,92-94,98-110,114-119,121-125,143,148,151,158,164,196-202,204-207,209,211,213-215,217-218,220,222-224,226-228,230-233,235,240-241,244,250-251,257-258,261-262,264-265,287-294,311-317,321,325,340,346,348,350-357,359-366,368-373,375-388,390,392,394,401-402,413,420-422,425-433,436,443-454,468-474,476-477,483-486,488-490,492,494-495,497,502-503,505-506,509-510,512-513,515-517,536,547-560,562-564,566,568-569,571-575,578,580-590,596-606,608-617,619,621,624,628 +src/smt/arith_eq_solver.h 1 1 100% +src/smt/diff_logic.h 775 512 66% 82-83,113-114,261,268,276,282,290,292,300,414,416,418-419,474,486-487,508,602,645,657-660,662-665,667-681,683,685-687,695-696,793-794,816-818,820-831,835-839,851-853,855-858,860-861,927-936,943-944,973-974,978-980,982-988,990,992-1001,1004-1005,1008-1011,1013-1017,1019,1021-1022,1025-1026,1030-1037,1069-1070,1293-1294,1297-1299,1314-1315,1320-1321,1334,1338,1362-1366,1377-1378,1382-1383,1387-1390,1392-1393,1395-1406,1408-1415,1429-1435,1438-1441,1445-1449,1451-1453,1485-1490,1823-1828,1837,1839-1840,1842-1845,1847,1852-1856,1858-1861,1863-1866,1868-1871,1873-1882,1884,1886,1889-1891,1893-1894,1896,1899 +src/smt/dyn_ack.cpp 406 108 26% 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28-29,31-41,43-51,53,58-75,77-78,80,82-84,86-88,90-91,93-94,96-100,102-103,105-108,110,112-114,116,118-121,123,125-132,134-137,139-141,143,146,148,150,152-159,161-164,166-167,169-179,181-185,187-188,190-192,194-195,198-202,204-205,207-210,212-217,219-220,222-227,231,233-235,237,239,241-243,245-247,249-252,255-258,297-301,304-305,312-314,317-326,329,332,334-340,342-343,345-350,352-353,355-357,359-366,368-376,378-381,384-390,392-394,396-399,401,403-416,418,420-426,430-432,434,440-446,448-451,454-455,462-464,467-473,475,477-486,489,492-495,497,499,501-507,509-519,521-529,531-540,542-549,551-561,563,565-575,577,579-580,582,587-589,591,594,596-602,604-605,607-612,614-615,617-619,621-623,625,627-629,631,633-635,637,643-645,647-649,651,654-657,660-666,668-670,672-675,677,679-692,694,696-702,706-708,710,716-722,724-727,729-734 +src/smt/fingerprints.cpp 110 66 60% 35,37,55-58,60-61,103-112,114-118,142-146,148,154-166,169-170 +src/smt/fingerprints.h 17 15 88% 44-45 +src/smt/mam.cpp 2311 1806 78% 91-97,99-104,242-245,247,249,251-255,257-264,266-271,273-281,283-292,294-295,297-302,304-307,309-310,312-314,316-318,320-321,323-324,326-327,329-330,332-333,335-337,339-341,343-344,346-347,349-350,352-354,356-357,359-360,365,401-411,413-417,419-423,425,556,558-563,565,569-573,577-579,638,673-677,715-722,761-764,860,940-942,970-975,995-1003,1060-1064,1074,1078,1168-1169,1224,1273,1356,1390,1460,1542,1589,1632-1634,1666,1758,1881,1915-1920,1922-1928,1930-1933,1935-1943,1945-1948,1950-1963,1965-1969,1971,2015-2016,2031,2093,2148,2211-2213,2222-2227,2229-2233,2235,2237-2238,2240-2241,2243-2244,2246-2248,2250-2251,2253-2254,2256-2259,2261,2263,2265-2272,2299-2301,2311,2321,2329,2348,2357-2366,2369-2379,2385,2401-2403,2421-2422,2440-2444,2505-2512,2515-2523,2526-2531,2596-2598,2633-2636,2639-2643,2646-2651,2654-2660,2663-2667,2670-2673,2688,2703,2712-2713,2716-2720,2725,2727,2749-2751,2770-2775,2778-2785,2788-2796,2799-2804,2841-2843,2935-2938,3013,3061-3068,3073-3075,3077,3284,3305-3306,3312-3313,3333-3335,3398,3573,3688,3726,3742,3839,3866-3875,3877-3886,3893,3921-3924,3926,3933-3934,3939-3941 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65,73-74,79,82,131,154-155,206-211,213-216,218,224,229-231,245-246,280,303,334,346,363-364,371,453-454,457-458,462-467,475-477,479-490,492,494,515,560,564,566,568,571,573-578,580-590,602,606,608,610,613,615-620,622-632,652,669-670,672-673,675-676,678-679,682,685,693-694,714-717,734-735,741-742,772-774,777-779,791-792,841,892-893,897-898,904,942,945,951-952,961-962,975,1084,1114-1116,1119-1121,1124-1125,1132-1138,1149-1168 +src/smt/seq_ne_solver.cpp 197 166 84% 62-63,81,83-84,86,89-92,110-111,129,135,183-184,248-249,251-252,278,281,292-293,295,307-308,312,316-318 +src/smt/seq_offset_eq.cpp 81 18 22% 40-42,44-48,51-75,77,79-80,83-91,93,95,108-110,113-119,122,124,130-133 +src/smt/seq_offset_eq.h 0 0 --% +src/smt/seq_regex.cpp 484 351 72% 65,69-73,75-78,110-111,117,119-120,124,126-127,140-142,145,147,169,172-181,183-184,186-187,193-195,197-199,201-202,214-216,271-272,290,293,298-299,302,305,307-308,310,312-314,343-344,393,395,397,453-455,457-460,462-465,472-473,509,519,530,608-609,732-735,737-738,742-744,746-771,798,823-825,870-872,874-878 +src/smt/seq_regex.h 14 4 28% 174-183 +src/smt/smt2_extra_cmds.cpp 20 6 30% 27-40 +src/smt/smt_almost_cg_table.cpp 82 0 0% 24-29,31-38,40,42-46,48-54,56-63,66-67,69,72-75,77,79-93,95-96,98-102,104-107,109-114,116-117,119,121-124 +src/smt/smt_almost_cg_table.h 4 0 0% 39,47,60,65 +src/smt/smt_arith_value.cpp 123 70 56% 60-78,88-89,100-101,126-130,133-137,139-140,142-146,148-149,151-155,157-158,160-163 +src/smt/smt_b_justification.h 37 29 78% 91-96,98-99 +src/smt/smt_bool_var_data.h 62 58 93% 72-75 +src/smt/smt_case_split_queue.cpp 843 227 26% 47-48,50-55,57-59,85-88,106,112-114,142-148,151,175-181,206-209,240-243,245-246,248-251,253-265,267-270,272,274-276,292,299,301-304,306,342,363,389-395,442-443,469-476,479-489,491-497,518-525,527,529,531-537,539-542,544-549,551-567,569-574,576-578,580-582,584-586,588-593,595-601,603-612,614-627,629-630,632-640,642-648,650-652,654-660,662-669,671-672,674-684,686-691,712-715,720-723,725-726,728-729,761-770,772,774,776,778,780,782-784,786-801,803-808,810-811,813-814,816,819,821-824,826-828,830-837,839-848,850-857,859,861-864,866-867,869-870,873-881,883-892,894-895,897-908,910-916,918-919,921-923,925-931,933-939,941,943,947-949,952,954-964,966-970,972,974-981,983-990,992,994-996,1000,1002-1004,1006-1007,1011-1012,1014-1025,1028-1029,1031,1033,1035-1040,1045-1051,1054,1056-1058,1092,1094,1096,1098,1101-1102,1115,1118-1119,1121,1123-1127,1140-1145,1147-1150,1152-1155,1157-1160,1162-1165,1167-1170,1172,1174,1176,1178-1180,1182,1184,1186-1195,1197-1200,1203-1209,1211-1220,1222,1225,1227-1242,1244,1252-1254,1257-1259,1264,1268,1270,1272 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+src/smt/smt_conflict_resolution.h 54 54 100% +src/smt/smt_consequences.cpp 489 182 37% 72-85,87-92,126,132-133,163-170,175,177-179,181,183,185-187,189,191,193-194,196-202,204-206,208-209,216-221,223-234,237-240,242-243,245-249,251-252,254-255,257-259,261-263,266-270,279-282,300,313-319,342-343,346-347,365,384-389,391-395,397-409,413-414,416-420,422-425,427,429-440,442,452-460,462-470,472-477,479,481-491,493-500,502-509,512,514,516-531,533-539,541-547,549-552,554-562,564-565,567-569,572-574,576-582,584,586,588-589,591-592,623-626,628-629,655-671 +src/smt/smt_context.cpp 3191 2572 80% 100,108-109,135,152,156-157,170,175,200,208-212,214-218,311,404,408-409,576-579,1160-1167,1170,1173-1174,1178-1223,1225-1230,1233,1235-1250,1252-1266,1270-1271,1352,1395-1399,1407,1431,1511,1520,1529,1534,1548,1559-1565,1715,1738-1739,1762-1763,1803-1806,1808,1810-1811,1813-1814,1816,1839-1840,1853,1859,1899-1902,1920,1928,1984-1988,2138,2156,2161,2280-2283,2341,2359-2361,2485-2486,2497,2515-2516,2580,2601-2604,2639,2641-2642,2662,2726,2734,2736,2742,2748-2763,2765-2768,2770-2772,2774-2775,2777,2779-2784,2786,2788-2790,2792-2798,2824-2826,2871-2872,2878-2885,2887-2889,2912,2917-2923,2925-2928,2930-2933,2935-2939,2941-2945,2947-2948,2951-2956,2958,2960,2969-2971,2977-2979,2982-2985,2987-2990,2992,2994,2996,2999-3005,3007-3008,3018-3019,3021,3086-3088,3103-3109,3112-3113,3117-3127,3129-3146,3152-3153,3155-3157,3159-3166,3177-3180,3182-3183,3185,3187-3189,3194-3202,3204,3207,3209,3222,3228,3230,3266,3269,3276-3277,3312-3313,3355,3379,3395,3413,3480,3495-3496,3516,3518-3521,3596,3598-3607,3631-3632,3690-3693,3704-3705,3731-3732,3767,3789-3791,3793,3795-3796,3798,3815,3824,3887-3889,3910-3912,3915-3917,3923,3970,3985-3987,3994,3998,4038-4040,4048-4049,4060-4063,4070,4130-4132,4138-4141,4234-4235,4304,4306-4308,4343,4364-4365,4397-4400,4402-4407,4409,4411,4427-4435,4437-4440,4443,4445,4447-4450,4452,4458-4464,4466-4467,4469-4470,4472,4474-4476,4481,4483-4484,4486-4487,4489-4497,4520,4526,4549,4591,4658-4665,4667-4671,4677,4698,4700,4725-4727,4729,4734,4738,4740,4750,4756-4764,4766-4776,4778-4786,4805-4807 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31-32,34,36,38,40,42,44,46-50,52,54,56,58,60,62-64,70-73,83,85,102-103,106-107,110-112,114-116,118-119,121-125,130-131,133-137,139-147,149-156,173-179,181,184-186,189-190,193-200,202,204,215-217,225-226,237-239,245-247,254-265,269,322-334,361-363,365-367,380-393,395-398,400,402-404,406,433-437,439-443,445-458,460-465,468-475,477,480-501,503-508,510-511,513-514,518-519,522,525-527,530-533,539-558,560,562-567,569,571-573,575,592-607,609-618,620,622,624-625,627-628,630-631,633-635,637,640-643,645,647-648,650-651,675-676,679,699-700 +src/smt/smt_context_stat.cpp 104 3 2% 24-29,31-32,34-36,38,40-42,44,46-55,57-61,63-69,71-73,75-77,79,81-83,85,87-105,107-116,118-120,122,124-136,138-142,146 +src/smt/smt_enode.cpp 258 179 69% 139-144,173,181-185,188-200,202-205,208-218,220,224-226,241,244-253,255-260,262-265,267-268,272-278,283,286,372-374 +src/smt/smt_enode.h 141 131 92% 172,175,195,381-382,420-421,424-425,470 +src/smt/smt_eq_justification.h 21 21 100% +src/smt/smt_farkas_util.cpp 259 127 49% 40-41,43-44,68-70,73-75,106-109,115,122,131-136,139-165,167,169-177,179-183,185-187,189,191,193-197,199-214,216-225,227-228,240-242,245-249,258-259,261-262,290-291,295-298,314,331-332,343-348,350-352 +src/smt/smt_farkas_util.h 2 1 50% 82 +src/smt/smt_for_each_relevant_expr.cpp 208 0 0% 26-28,31-33,35-47,50-52,54-56,58-74,76-79,81-82,85-87,89-108,110-113,115-116,118-121,123-125,127-130,132-133,136-140,142-160,162-163,165-166,168-169,171-173,175,178,181-190,197-208,210-216,218,220-221,223-224,226-227,229-230,232-233,235-236,238,240-241,243-244,246-247,249-250,252,254-257,259-261,263-264,266-268,270,273-274,277-282,284,286,289-296 +src/smt/smt_for_each_relevant_expr.h 2 0 0% 38,68 +src/smt/smt_implied_equalities.cpp 222 139 62% 74-82,84-111,181-184,186,206-208,237-238,240,272-273,275-276,278-279,281,286-290,292-297,299-304,306-312,314-317 +src/smt/smt_internalizer.cpp 1252 1040 83% 76-86,88-91,94-99,102,113,122-123,131-134,136-137,142-145,181-182,240-243,245,269-281,284-285,301,321-332,334,345,357,372,379-380,482-485,531,553-554,569,585-615,619-621,623-626,700-702,713,715-716,718,720,722,962,1054,1056-1062,1210,1212,1353-1355,1359,1397-1399,1411-1415,1424,1435,1457-1458,1516,1518,1532-1536,1541-1549,1553-1556,1558-1561,1573-1575,1656,1666-1669,1693-1699,1747-1760,1764 +src/smt/smt_justification.cpp 332 283 85% 57,60-68,72-74,86,165,185,197,213-215,223-226,287-296,300,304-310,312-315,365,380,437 +src/smt/smt_justification.h 86 59 68% 65-66,95,97,114,132-134,140,159,175,192,209,229,249,265,279,286,288,292,313,353,369,393,413-414,423 +src/smt/smt_kernel.cpp 212 81 38% 37-38,41,44-51,83-86,96-97,120-121,142-143,166-167,174-176,178-180,182-184,190-192,194-196,198-200,202-204,207-209,212-214,217-225,227-232,234-239,241-254,260-261,263-265,267-269,287-289,291-292,295,300-301,303-305,307-309,311-313,315-317,319-321,323-325,327-329,331-333,335-337,339-341 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91,93-98,100-102,104-106,108,153,159,169-170,226,279-281,298-304,306-309,311-321,323,325,431-436,438,440-445,447,531,534-540,545-550,552-553,555-558,571-573,576,582-586,588,597-599,650,677,699,702,719,723,726-727,758,781-783,785-786,793-795,797-798,838,847-853,856,858,870,892-893,895,1063,1161,1171,1193-1195,1262-1263,1266-1271,1273-1276,1291-1301,1303-1305,1307,1315,1317,1335-1336,1343-1344,1366,1368,1391-1402,1404,1438-1440,1498-1499,1502-1504,1553-1554,1556-1562,1581-1583,1719-1723,1725,1765,1819,1847,1882-1883,1885-1886,1899,1945,2066,2111,2152,2165-2166,2208-2209,2229-2230,2242,2327-2329,2333,2339-2341,2522,2555,2558,2571,2576-2581,2583-2586 +src/smt/smt_model_generator.cpp 326 318 97% 36-39,148,261-262,365 +src/smt/smt_model_generator.h 33 31 93% 86,124 +src/smt/smt_parallel.cpp 174 95 54% 77,99-106,115-121,123-133,135-147,160,170,172-174,188-190,200-205,207-212,214-219,234-237,245-247,256-259,263,266 +src/smt/smt_parallel.h 1 1 100% +src/smt/smt_quantifier.cpp 530 317 59% 41-45,47-50,53-54,56-67,73-74,76,79,81-83,85-86,88-89,91-94,96-100,102,106-110,113-118,120,122-123,125,150,169-189,193-194,207,212-220,222-224,226,229-233,235,242-249,251,255-257,259-265,269-270,273-280,282,285-287,304-305,307-308,322,342-344,373-374,377-390,394-400,408,412,422,483-486,500-502,524-525,558-565,567-568,574-575,577-579,630,632,654,755-766,768-769,789,809 +src/smt/smt_quantifier.h 4 3 75% 163 +src/smt/smt_quick_checker.cpp 289 0 0% 26-30,32-42,52-57,59-60,62-79,81-83,85-87,89-95,98,100-101,103,105-106,108-120,122-129,131-132,141,143-149,151-156,161-167,172-178,180,182-197,200-212,220-227,230-231,233-236,238-240,244-250,252-257,260-266,268-274,276-281,283,285-289,291,293,295,297,299,301-304,306,308-310,312,315-316,319-325,328,330-343,345-346,348-353,355-359,361,363-366,368-378,380-386,388,390-405 +src/smt/smt_quick_checker.h 3 0 0% 52-54 +src/smt/smt_relevancy.cpp 471 324 68% 27-29,31-35,37,45,47,68,116,118-121,126,131,135,208,221,310,374-376,379-381,383-384,386,388-394,396-399,402-403,420,516-517,545,554,574-582,584-599,601-615,617-619,621-624,626-630,632,634-636,638-642,644-645,647-666,668-673,675,677-679,694-697 +src/smt/smt_relevancy.h 8 8 100% +src/smt/smt_setup.cpp 674 468 69% 76,78,80,82,88,90,92,94,98,100,102,104,106,108,112,114,116,118,120,122,126,132,134,136,160,162,164,166,172,174,176,178,182,186,190,192,194,196,198,200,202,204,206,214,221-225,227-231,241-244,262,267,269,278-281,310,317-321,325,327,339,345-347,361-364,366,368,381-385,390,395-400,402-406,408-409,411,418-419,462,465,468-471,485-489,491-494,496-501,519,535-537,539-541,562-572,574-577,579,581,583,600,608-609,614-615,630-631,634-635,637-640,642-643,645-646,648,650,654-655,657-658,661,669,678,686-687,697-699,705-706,716-717,722,750-753,755-758,760,770,793,872,898,920-921,925-926,930-931 +src/smt/smt_setup.h 8 7 87% 119 +src/smt/smt_solver.cpp 357 136 38% 40-52,54,56-58,94,97-99,154-155,161-164,168,201,207-209,211-212,215-217,219,224-225,227-229,231-233,235-237,239-241,243-245,247-249,251-253,255-257,259-261,266-269,271-274,285-293,298,309-310,313-315,317-321,329-330,333-335,338-340,342-345,348-351,353-365,367-369,374-383,390-397,399-401,403-406,409-413,415-424,426,428-431,433-434,450-452,456-457,459-464,466,472,478-487,490-495,497-501,503-506,508-511,514-516,531-532 +src/smt/smt_statistics.cpp 3 3 100% +src/smt/smt_statistics.h 3 3 100% +src/smt/smt_theory.cpp 190 93 48% 62-67,69-83,85,87,90-108,110-111,113,115-116,118,120-121,144-148,196-202,204-205,216,218-219,221-225,227,230-238,240-251,254,260-261 +src/smt/smt_theory.h 206 144 69% 32,80-81,110-111,123-124,133-137,156-162,176-177,189-190,236-237,355-356,448,485-491,493-497,524-533,551,553,557-559,593-594,607-608,611,613,642 +src/smt/smt_types.h 6 0 0% 63-67,69 +src/smt/smt_value_sort.cpp 33 16 48% 42,48,50-51,53-62,64,70-71 +src/smt/tactic/ctx_solver_simplify_tactic.cpp + 179 161 89% 56-57,62,66,72-74,99,104,112,199,212-213,314-318 +src/smt/tactic/smt_tactic_core.cpp 283 187 66% 71,94-95,106-109,111,126-128,143-144,191,221-224,231,249,254-255,288-295,299-308,310,312-314,316,320-321,345-351,353-356,372-375,377,382-387,389-391,393-395,397-399,401-403,405-407,409-411,413-415,417-419,421-423 +src/smt/tactic/unit_subsumption_tactic.cpp + 81 74 91% 41,57-58,107-110 +src/smt/theory_arith.cpp 3 3 100% +src/smt/theory_arith.h 215 157 73% 102,121,137,210,212,222-225,227,258,272,277,279,337-347,363,373-374,541,547,560,563,647,771,965,1064,1179-1185,1199-1201,1206,1226,1248,1257-1263,1267-1268 +src/smt/theory_arith_aux.h 1408 919 65% 63-67,165,170-180,215-219,273-278,280-282,325-326,350-355,373-374,417-420,430-434,443-449,495,499-501,503-504,507,519-525,527-529,539-552,557-562,564-566,572-576,578,580,584-586,588-598,600-605,616-617,660-684,686-697,699-715,717-729,745,754-757,759-764,766-767,769-770,774-781,784-788,790-793,796-800,802-805,819,830-835,837-838,840,964,966-984,987-988,990-991,995-996,998-999,1001-1004,1006-1009,1011-1012,1014-1015,1017-1018,1020-1021,1024-1029,1031-1032,1046-1047,1049,1052-1054,1060,1063-1065,1097,1153-1158,1160,1162-1163,1192-1194,1196-1197,1199-1201,1203-1211,1213-1223,1225-1239,1241-1244,1246-1257,1259,1261-1266,1268,1270-1282,1290-1291,1333,1461-1462,1470-1472,1511-1518,1520-1522,1621-1624,1684,1686-1688,1690-1691,1693-1696,1746-1747,1881,1962-1968,1970-1972,1974-1980,1983,2000-2002,2004-2013,2015,2017,2038-2039,2059,2073,2078,2098-2103,2227,2254-2259,2261-2266 +src/smt/theory_arith_core.h 2274 1907 83% 31-35,51-54,60-62,75-79,86,138,162,191-192,194-196,222,228-234,237-239,306-309,336,369,385-386,408-409,413,437,450,478-486,520-522,528-529,618-630,632-633,638,640-646,648-649,651-652,659-661,664-666,668-669,671-673,675-677,680-690,697-703,706-715,723,731,816,820,827-828,832-834,838-839,841,856,879,897-900,940-945,1011,1022-1025,1057,1283-1286,1288-1290,1297,1303,1305,1309-1310,1313-1314,1321-1323,1325,1327,1389,1393,1395,1406,1409-1422,1424-1435,1437-1441,1472,1488,1516-1517,1528-1531,1543,1569,1594,1629-1667,1689,1722,1738,1833-1836,2119-2123,2125-2142,2199-2203,2205,2207,2209,2211,2221,2283,2287,2297,2311,2316,2340-2341,2347,2349-2350,2362,2402,2460-2461,2508-2509,2650-2653,2723,2807,3014-3018,3223,3232,3235-3236,3245-3247,3283-3285,3303,3315-3318,3322-3325,3333,3340,3430-3437,3494-3497,3501 +src/smt/theory_arith_eq.h 168 162 96% 37,43,286-287,320,326 +src/smt/theory_arith_int.h 683 218 31% 54,66-68,107,109,116-120,122-134,164-169,179-180,190-192,243,245-250,252-253,255-259,261-262,264-276,280,282-285,287-288,290-299,301-304,306-308,310-313,315-320,322-330,339,344-348,350-352,354,356,359-372,374,376-380,383-391,393,397-398,407-419,421-431,439-441,443-444,446-447,450,452-455,457-458,460-466,468-469,471-479,484,489-491,493,500,503,505,509,511,513-514,516,519,521,523,526-527,529-532,534-535,537-547,549-550,552-554,556-560,562,564-565,567-569,571-574,580-585,587,589-591,593-596,598,600-602,604-609,612,614-618,620-621,623-632,634-635,637-639,644-645,647-654,659-660,662-664,666-677,679-680,682-684,695,708-710,723-725,727-728,741,745-757,764-765,767,774,776-778,780,782-791,793,795-796,799,801,803-808,810,812-813,816-817,820-821,823-834,837-838,846,848,852-854,865-870,872-877,879-882,884,923,929,947-949,951,996-997,1001,1004,1031,1077-1082,1084-1092,1094,1097-1098,1110 +src/smt/theory_arith_inv.h 145 98 67% 43-49,64,84,109-117,124-139,146-151,189,194,210-211,220,226-227 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58-67,70-76,79-82,85-95,97-107,109-110,112-113,117-119,121-126,129-142,144-145,147-148,151-157,159-160,163-170,172-176,179-192,194-196,199-226,228-229,231-251,253-269,272-275,278-283,289-291,293-302,304-307,309-312,314-325,328-340,342,344-348,350,352-362,364-365,367-368,370-371,373-378,381-397,400-404,407-413,415-416,419-426,428,431-435,438-442,445-460,463-478,481-494,496-501,503-511,513-515,517-519,522,524-529 +src/smt/theory_array.cpp 357 300 84% 31,86,97-101,103,108,115-118,120,136-142,144-152,154-159,173-174,179,232-233,249,266,271,324,326-327,342,376,396,403,422-427 +src/smt/theory_array.h 13 11 84% 101,111 +src/smt/theory_array_bapa.cpp 386 0 0% 100-102,121,123-125,127,129-142,144-157,159-171,173,175,180-186,188-197,199,202-203,208-213,215-217,220-222,224-232,234-237,239-240,242-244,246-247,249-251,253-257,259-268,282-298,300-304,306-310,312-314,316-318,323-332,334-337,339-341,343-344,349-365,367-368,371-389,391-393,399-404,406-407,409-415,418,420-423,425-428,430-432,434-444,451-452,455-457,459-460,462-463,467-474,476-479,481-483,485-492,497-506,508,512-517,523-528,530-534,537-547,549,551,553,555-556,558-564,567,569,571-574,577-578,580-584,586-591,594,596,600-609,612-617,619-623,625-626,630,632,634,636,638,640,642 +src/smt/theory_array_base.cpp 750 630 84% 36-39,41-47,57-65,67,71-72,125-130,179-180,187-188,212-215,264,322-332,362-365,373-404,406-409,411-415,437,441-445,490-491,500,503,603-607,638-639,642-645,647,764,810,831,1039 +src/smt/theory_array_base.h 33 31 93% 36,66 +src/smt/theory_array_full.cpp 646 473 73% 45,58-61,82,92-98,109-110,116-118,124,127,152-156,183-192,205-208,212-217,252-256,258,276,281,288-289,295-296,299-303,307-308,338-341,360,380-381,401-405,407,595-620,633-634,649-651,653-654,695-701,704-713,721-724,749-750,760-762,764-778,785-797,802-803,818-819,835-838,865 +src/smt/theory_array_full.h 0 0 --% +src/smt/theory_bv.cpp 1415 1037 73% 39,118-120,183-185,244,379-384,386-388,390-391,403-421,427,459,478-484,486-487,518-527,529-530,799-811,813,821,823-824,828-830,833-836,851-854,894,898,900,902,908,910-911,915-917,919-920,924,928-936,949-952,954-956,964,966-968,1000-1002,1012,1052,1056-1060,1085,1089-1093,1101,1109-1111,1113-1114,1126-1136,1138-1139,1188-1191,1193-1195,1197-1202,1204,1207-1210,1212,1254-1260,1277,1294-1295,1328-1330,1365,1393-1395,1399-1401,1403-1405,1442-1444,1456,1461-1466,1476,1498,1519-1529,1531,1533,1535-1539,1541-1543,1546,1566-1567,1573,1575,1603-1604,1679-1684,1686-1690,1692-1701,1707,1712,1748-1754,1756-1757,1759,1761,1763-1766,1768-1776,1778-1779,1781,1783,1786,1788-1791,1793-1794,1796-1799,1801-1810,1812,1831-1844,1846-1850,1852-1857,1859-1860,1862-1870,1875-1879,1891-1902,1904-1905,1907-1915,2008,2010 +src/smt/theory_bv.h 28 27 96% 274 +src/smt/theory_char.cpp 340 264 77% 32,77,87,89,91,122-124,126,241-242,254-263,265-272,274-284,286,288-297,299,326-327,353-358,361-367,372-377,379,397,425 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42-43,49,70,75-78,82-94,102-108,116,119,124-131,136-137,147-148,156-157,159-160,162-164,170-172,178-180,184-186,200-202,205-207,210-213,215-221,224-229,231-232,235-236,239-245,247-248,258-259,263-264,278,284-286,294-296,299,301,332-336,370-374,376,380-382,393,397,437-442,444-445,447-451,453-455,457-459,461-464,466,538-543,556-560,563-565,567-571,574-575,577,587,589-594,596,622-639,641-647,651-679,682-690,693-697,786-791,801-802,804-811,835,849-850,854,862,865,868,887-889,899-909,944,989-990,1000-1002,1004-1032,1048-1049,1056,1062-1063,1067,1069,1073-1092,1095-1101,1104,1106-1109,1111-1112,1114,1116-1118,1120,1123-1124 +src/smt/theory_diff_logic.cpp 0 0 --% +src/smt/theory_diff_logic.h 75 31 41% 84-85,99-103,105-106,109,111-112,117-118,123-124,145,147-151,153-155,235,242,262-264,266,274-275,284-286,345,347,349,351,378,383,386,390 +src/smt/theory_diff_logic_def.h 967 277 28% 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233,300-302,379-383,477-482,530-546,569,781-784,886-891,911-921,924-926,930,973,975-976,978-979,981-982,984-985,987,989-991,993-994,996-1000,1002-1003,1008,1043,1064-1074,1077,1095,1099,1102-1103,1105-1109,1111-1128,1166-1169,1201-1209,1211,1272-1273,1284-1287,1317-1319,1386-1397,1409-1410,1516-1522,1554,1603-1611,1613,1615-1616,1618,1620,1622-1623,1627,1629,1654-1658,1678,1687-1688,1695,1698,1702-1703,1705-1706,1708-1709,1711-1712,1724,1767-1769,1823-1827,1829-1832,1834-1841,1843,1846-1848,1850,1852-1853,1855-1868,1870-1871,1873-1874,1876-1884,1886,1889-1890,1892-1894,1896-1899,1901,1903-1908,1913-1914,1918,1948,1959-1961,1977-1978,1982-1983,1985,2018-2019,2070-2071,2121,2126-2130,2168,2172,2183-2184,2208,2248,2254,2256-2257,2262,2274,2328,2335-2336,2380,2385-2393,2395-2399,2401-2405,2407,2409-2412,2414-2420,2428,2430,2454,2456,2504-2506,2513-2519,2521-2525,2527-2530,2532-2537,2540-2544,2546-2557,2559-2560,2562-2573,2575-2585,2587-2593,2595,2598-2602,2605-2609,2611-2612,2614-2615,2617-2618,2620-2626,2628-2634,2638-2639,2641,2647-2650,2653-2656,2659-2662,2666-2670,2672-2673,2702,3153-3154,3295-3296,3337,3339,3341,3343,3345,3347,3378,3396,3414,3417,3440,3449-3452,3459-3460,3493,3495,3507,3520-3521,3524-3536,3580-3581,3591,3599,3659,3661-3664,3666-3667,3672,3678-3683,3685-3688,3690-3695,3697-3706,3708-3714,3716-3721,3723-3724,3728,3730-3735,3737-3739,3741-3747,3749-3751,3753-3762,3765-3767,3769-3771,3773-3780,3782-3784,3786-3791,3793,3795,3797-3800,3802-3803,3809-3814,3819-3823,3825-3829,3838-3839,3841-3850,3852-3862,3864-3865,3867,3869-3884,3886-3893,3895,3910-3912,3914-3915,3920,3925-3927,3929,3931-3932,3935-3936,3938-3939,3973,3993,4027,4036-4037,4040,4060,4088-4089,4111-4112,4124-4125,4140-4145,4147-4148,4150-4153,4156-4158,4160-4163,4166-4167,4169-4170,4172-4175,4208,4211,4214,4219,4221,4223,4254-4255,4257-4259,4301-4302,4304-4306,4316-4317,4322-4323,4325-4326,4335-4337,4345-4346 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46-48,69-71,73-80,82-90,114-133,136-149,151,153-154,192-195,205-206,267,343-349,361-364,416,419-422,461,467-469,529-530,532,541-543,545-546,554,557-558,564-572,609-617,624-635,637,674-675,706,721,749-765,768,770,776,786,798-799,802-804,818,821-823,825-827,840-852,854-866,881,899-910,912,914-927,937-938,984-986,1050-1054,1056-1057,1059-1060,1062,1064-1065,1068-1082,1099-1102,1121-1123,1141-1144,1153,1155,1157-1164,1170-1173,1264-1268,1270-1274,1276-1286,1288-1298,1300,1302-1305,1307-1308,1315-1321,1331,1333-1348,1350-1355,1357,1359-1360,1383,1519-1520,1583-1584,1592-1599,1607-1608,1621,1634,1648,1653-1660,1662-1664,1667,1692-1699,1701-1707,1709-1714,1716-1723,1775,1795-1797,1799-1801,1843-1848,1850,1864-1865,1894-1895,1898-1899,1905-1906,1919-1920,1929-1930,1935,1945-1946,2033-2034,2037-2044,2046-2052,2096-2097,2106-2107,2110-2111,2135,2137-2139,2141-2143,2145-2147,2149,2151-2152,2154,2156-2157,2163-2167,2172,2181,2208-2213,2216-2223,2225-2228,2230-2241,2243-2244,2246-2247,2250-2263,2265,2267-2296,2303-2304,2306-2308,2310-2312,2314-2322,2324-2329,2331,2333,2335,2337,2339-2340,2343,2351-2352,2354-2357,2359-2360,2362,2369-2375,2378-2387,2391-2393,2395-2399,2402-2406 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120-121,145-154,199,209-211,213,244-246,248,289,331-333,345-346,374-376,418-420,427-429,437-438,449,460-461,463-464,512,515,559,563-565,593,603-604,626,629-630,638,715-717,720-722,885-886,891,893,895-897,899-901,903,944,951-952,978,994,1006-1008,1011-1015,1017-1018,1023,1033-1042,1046-1055,1094-1095,1131,1151-1153,1182-1191,1193,1232-1235,1266,1284-1286,1293,1327,1329-1334,1336-1343,1348,1368-1370,1372-1373,1389-1397,1409-1418,1420-1421,1423,1425-1427,1435-1440,1443-1446,1448-1449,1451-1452,1508-1509,1544-1555,1619,1621-1628,1630-1636,1641-1642,1647-1657,1660-1666,1668-1670,1672-1673,1675,1677-1683,1686-1690,1709,1713,1731,1735,1740,1747-1749,1770-1785,1787-1794,1796-1799,1801,1805-1808,1811-1813,1815,1818-1824,1827-1832,1834,1837-1839,1841-1846,1848-1850,1852-1857,1860-1868,1870-1871,1873-1874,1876-1881,1883-1884,1886-1887,1889-1895,1897-1900,1902,1905,1908-1914,1934,2033,2047,2068-2069,2085,2088-2089,2094,2132-2133,2135,2156,2245-2256,2258-2261,2263-2270,2272-2279,2281-2290,2292-2300,2302-2310,2312-2316,2318-2324,2326-2332,2334-2341,2343-2350,2352,2354-2357,2359,2362-2363,2365-2367,2370-2373,2375-2376,2380-2385,2391-2393,2399-2403,2411-2414,2417-2425,2427-2428,2430,2432-2435,2437-2438,2440-2445,2450,2452,2476,2490,2595-2599,2601-2605,2639-2643,2679-2683,2688,2733-2734,2739-2740,2771-2772,2774-2775,2777-2778,2804-2808,2869,2875,2899-2906,2908-2921,2932,2941,2950,3125-3127,3138,3163,3168-3170,3182-3183,3198,3210-3212,3221,3227,3321,3337-3342,3376-3378,3397,3453-3454 +src/smt/theory_seq.h 116 105 90% 165-172,217,398,481 +src/smt/theory_sls.cpp 187 0 0% 26-28,32-34,36-37,40-42,44-46,48,50,52-53,56-57,60-62,64-69,71-73,75-76,79-81,83-90,92-110,112,114,116-118,120-124,126,132,138-154,156-162,164-170,172,174-177,179-182,184-187,189-191,193-201,203-211,213-218,220-222,224-233,235-242,244-253,255,263-267,269-271 +src/smt/theory_sls.h 20 0 0% 53-55,84-91,106,109,112,116-119,124,134 +src/smt/theory_special_relations.cpp 863 58 6% 35-41,44-51,53-61,63-68,70-76,78-88,90-91,114-128,130,132-137,139,141-161,163-174,176-184,187,192-193,195,197,199,204-208,212,215,220,222,225-231,234-238,240-242,245-248,250,252,257-264,268,272-292,294-302,316-322,325-328,333,335-339,341-342,356-367,369-381,383-386,388-391,393-397,399-400,403-408,410-411,414-415,417-418,420-424,427,438-447,449-453,455-460,463-464,466-470,473,475,477-481,483-492,494-497,499-500,502-503,505-506,508-509,511-512,514-516,518-520,522-523,525,527,529-539,541-557,559,561-563,568-578,581-588,591-597,600-604,607-615,618-619,623-626,629-633,635-636,638-639,641-642,644-645,647-650,652,654,659,665-671,676,683,695-698,706,710-712,715-726,732-753,755-771,773-775,777-780,783-784,786-808,810-828,830-854,856-861,863-869,888-897,899-900,904-909,911-914,916-918,920-922,924-934,936,939-941,943-952,954-957,960-967,969,971-979,981-982,984-986,988-992,995-997,999-1008,1024-1037,1039-1040,1044-1046,1049-1050,1053-1063,1065-1076,1078-1082,1084,1088,1090-1100,1102-1113,1115-1126,1128,1132,1134-1135,1137-1138,1140-1141,1143-1144,1146-1147,1150-1151,1158-1161,1164-1169,1172,1174-1177,1182 +src/smt/theory_special_relations.h 42 3 7% 43-48,50-67,81,83,85,87,106,108,110-111,118-121,187-189 +src/smt/theory_user_propagator.cpp 321 0 0% 27-28,32,34-36,38-46,48-68,70-73,75-80,82-86,88,92,95-98,100-104,106-108,110-111,113,115-116,118,120,122-125,127,129-130,132-139,141-142,145-146,148-158,160-165,167-168,170-174,176-178,180-188,190-191,193-195,197-198,200,203-206,208-210,212,214-215,217-221,224,226-227,229-231,233-234,237-238,240-241,243,245-246,248-252,255,257-259,262,264-265,268-270,272-285,287-289,291-306,308-309,312,314-323,325,330-335,337-340,342-349,351-352,354,356-366,368,370,372,374-376,379-383,385-391,393-399,401-405,407-409,411-413,416-421,423-424,427-431,433,435-436,439-440,442-443,445-446,448-451 +src/smt/theory_user_propagator.h 45 0 0% 37-38,40-44,46-49,55-56,93-98,116,121-125,129-134,137,148,151-154,156-158,161,163-165,168 +src/smt/theory_utvpi.cpp 98 47 48% 29-32,35-41,43-44,46-49,51-53,55-58,60-62,65,67,69-70,77-80,82-84,90,97,119-120,122-124,126-127,132,141,145,148 +src/smt/theory_utvpi.h 80 48 60% 83-84,120,129-131,166,174,184,206,213,223-226,230-232,261-263,298-301,303-306,326,328,330 +src/smt/theory_utvpi_def.h 609 443 72% 84-88,96,106,115,129-130,152-155,157-158,160-163,172-177,179,181,183-189,197-199,211-215,227-229,231-238,285-292,294,297-299,304,306-307,318-319,327-328,355,400-401,404,407,410,422,455-459,461,467-469,471-472,475-482,523-524,534,538-539,558-563,565-568,583,586-587,589-602,604-606,608,610,612,615-616,674,754-756,807-809,831,854-855,857-858,860-861,872,885,888,893-895,952-958 +src/smt/theory_wmaxsat.cpp 254 186 73% 50-51,53-57,59-64,66,68,70,84,110-116,123-124,186-189,215-216,264,268,289-293,296-298,301-310,313-314,316-319,321,323-327,331-334 +src/smt/theory_wmaxsat.h 30 19 63% 90-91,95-97,99-100,103-106 +src/smt/uses_theory.cpp 16 0 0% 23-26,32-35,39-40,42-43,45-48 +src/smt/watch_list.cpp 81 66 81% 113-118,120-125,127-129 +src/smt/watch_list.h 73 71 97% 160-161 +src/solver/assertions/asserted_formulas.cpp + 572 499 87% 78-79,81-83,94,259-261,263-264,270,276,320-322,325,327,346-354,440-441,472,481,510,570,583-585,610-611,630,652,659-660,667,671,676,690-692,695-698,700-703,705-707,709,711-712,714,724-730,735-737 +src/solver/assertions/asserted_formulas.h + 68 60 88% 76,94,102,110,118,125,127,179 +src/solver/check_logic.cpp 442 369 83% 80-85,103-106,112-114,116-117,124-125,155-158,164-166,173-176,204-210,221-223,233-235,249,253,263,268,281,284,338,358,363-369,378,389,393,395,415,434,449,458,482-485,490,531,549,555,561 +src/solver/check_sat_result.cpp 59 27 45% 25,28-29,31-32,34-35,37-38,42-43,45-47,49-50,52,56-61,63,73-75,88,91-92,99-100 +src/solver/check_sat_result.h 25 17 68% 65-66,84-87,102,109 +src/solver/combined_solver.cpp 262 120 45% 76-85,108,110,112-113,128-136,139-142,171,199,201-202,205,207-208,232-234,236-238,240-241,243-245,247,273-275,278-280,283-287,293-297,301,313-315,317-318,320-322,324-325,327-329,331-332,334-336,338-339,341-344,346-348,350-351,353-356,358,363-365,367-369,371-373,375-377,379-381,383-385,387-389,391-393,395-397,399-401,403-406,420,422-425,428-431,435-436 +src/solver/mus.cpp 132 79 59% 64,66-68,99,105-107,109-113,115,120-121,304-308,311-315,317-325,329-341,363-364,376-378 +src/solver/mus.h 3 3 100% +src/solver/parallel_tactical.cpp 583 282 48% 125,131-132,170,172,177,179,186-190,192-193,197,201-202,204-208,210-211,242,250,252-265,273-274,276,281-285,289,293,301-305,308-319,321-325,327-328,334-344,355,369-372,433-436,438-448,450,466-467,480-485,491-495,497-505,507,509-516,536-539,548,550,552-553,555-556,559-561,563-571,573,575-576,578-587,589-597,600-604,607-611,614-619,621-623,625-630,632-635,639-643,646,648-650,655-661,664-673,675-677,679-685,689-690,697-698,713-719,721-722,724,746,748,758-760,763,766,768-778,789,796,821-829,831-835,840-843,850-852 +src/solver/progress_callback.h 3 1 33% 26,29 +src/solver/simplifier_solver.cpp 295 0 0% 39-60,62-63,65-95,97-101,103-108,118,121-127,129-135,137-141,143-144,146-150,153-156,158-164,170-175,179-190,192-193,195-200,202-207,209-216,218-223,225-230,232-235,238-242,244-248,251-259,261-266,268-275,278-279,281-284,287-291,293-313,315-325,327-338,340-341,343-350,352-359,362-363,366-370,372-374,376-378,380,385-397,403-404 +src/solver/slice_solver.cpp 292 5 1% 42,46,50,52-57,59,61-63,65-66,68-72,74-78,80,82-92,95,98-105,107-117,119,121-125,127-130,132-133,135-139,141-143,145-156,158-159,161-163,166-168,170-173,175-176,178-180,182,185-191,193-197,200-202,204-205,207-212,217-219,221-225,227,229-233,235-238,240-244,247,249-250,255-259,261-263,265-272,274,276-280,282-286,288-293,295-300,302-303,305-308,310-314,316-319,322,324,326,328-336,338,340-341,343,345,347-367,369-371,374-376,379-381,384-386,389-391,394-398,400-402,404-406,408,413-423,429 +src/solver/smt_logics.cpp 84 84 100% +src/solver/smt_logics.h 2 2 100% +src/solver/solver2tactic.cpp 132 98 74% 58-69,97-99,116-118,141-144,146,154,179,183-185,187-188,191,194-196 +src/solver/solver.cpp 242 66 27% 32-34,37-39,61-65,74-78,83-84,91,93-95,98,100-101,104-108,110-120,122,124-132,135,137-139,141,144,146-156,158,160-165,167,170,172-174,176-179,181-182,185-186,190-197,199-200,228,235-237,253-267,269-276,278,280-281,284-285,288-301,303-304,307-316,319,321-323,333-336,338-339,343-352 +src/solver/solver.h 25 11 44% 98,103,127,175,183-187,267,273,296,328-329 +src/solver/solver_na2as.cpp 61 57 93% 33-34,79-80 +src/solver/solver_na2as.h 3 1 33% 44,49 +src/solver/solver_pool.cpp 298 176 59% 71-74,76,85,87-88,99-101,126-128,130-131,147-149,151-153,160-163,185-187,194-195,203-207,213-214,227,254-255,258-261,263,265-267,271-275,277-282,286,288-293,296-302,305-307,309-316,318-322,324-325,327-333,373,380-385,401-402,412-416,418-425,427 +src/solver/solver_pool.h 2 2 100% +src/solver/solver_preprocess.cpp 33 0 0% 48,50-59,61-81,90 +src/solver/tactic2solver.cpp 241 123 51% 79,85-88,90-92,94,99-100,102-104,106-108,110-112,114-116,118-120,122-124,126-128,130-132,134-136,144-147,150-152,156-158,160-162,224,237-240,277-280,282-286,301-305,307-311,314-317,319,321-335,343-345,347-348,354,357-361,394-396,403-404,406-408,411-412,421-422 +src/tactic/aig/aig.cpp 1159 895 77% 71-75,128,130,178,228,235,267,270-272,276,295-296,300-301,305-306,318-320,326-328,357-358,407,502-503,545,557-558,563-564,566-570,575-579,601-602,607-608,623-624,731,877-879,929-930,947-948,1147-1153,1165-1171,1194,1212,1226,1364,1366,1396,1398,1435-1448,1471-1485,1489-1491,1494-1496,1508,1511-1514,1516-1532,1534-1539,1552-1554,1556-1557,1559-1563,1565-1577,1579-1592,1595-1596,1598-1603,1605,1607-1609,1611-1619,1621-1625,1627-1646,1648-1652,1654-1655,1660-1663,1695-1697,1703-1704,1707-1710,1713-1714,1717-1718,1721-1722,1725-1726,1738-1740,1742-1744,1746-1747 +src/tactic/aig/aig.h 1 0 0% 30 +src/tactic/aig/aig_tactic.cpp 69 57 82% 51,58,82-90,103 +src/tactic/arith/add_bounds_tactic.cpp 93 84 90% 36,38,108,110,149,156-159 +src/tactic/arith/arith_bounds_tactic.cpp 97 0 0% 17-21,26,28-29,31,33-34,37-39,48-53,56-61,63-66,68-69,73-77,79-86,89-94,96,98,100-108,110-111,113-128,130-131,133-144,146,151-152 +src/tactic/arith/bv2int_rewriter.cpp 439 304 69% 30,53-62,64-65,67,69,72-88,92-93,107-108,112-113,115-120,128-133,135-141,174-176,183-185,191-193,197-199,227,229,236,238-241,267,271,273,276-280,282-284,286-287,362,379,387,399,401-403,409-412,414,416,425-430,447,472-477,479,503-506,536-541,544-549,618,622,625 +src/tactic/arith/bv2int_rewriter.h 19 17 89% 41,104 +src/tactic/arith/bv2real_rewriter.cpp 480 275 57% 82,85-86,95-96,100-104,107,109,184,194,196-198,204-206,221,224,267,298-299,304-311,313-318,320-323,326-331,333-335,337,339,342-343,371,378-391,402-403,406-407,478,482,485-487,489-490,492-494,496-497,508,529-534,536-552,555-557,564-566,573-577,579,587-591,596-603,605-607,609-616,619-625,627-629,631-638,641-642,645,647-648,650,652-657,659-661,663-670,674-680,682-684,692,694-697,699-700 +src/tactic/arith/bv2real_rewriter.h 44 36 81% 110,183-184,218-222 +src/tactic/arith/card2bv_tactic.h 2 2 100% +src/tactic/arith/degree_shift_tactic.cpp 200 0 0% 42-44,46-47,51,53-76,82-85,90-96,99-102,104-109,111-118,120,122-123,125-129,131-132,134-147,149-154,156,160,162-167,169-173,175-176,178-183,185-188,190-214,216,218,220-228,231-238,242-254,256-261,266-268,270-271,274-276,278,280,282-283,285-289,293-298 +src/tactic/arith/diff_neq_tactic.cpp 269 57 21% 42,66,73-74,77-78,80-89,91-98,100-105,107,109,112-122,124-129,131-138,140-144,146-147,149,151,154-158,160-163,173,175,177,184-196,198-203,208-217,221-243,245,247-251,253-255,260-261,263-269,271-280,283-284,286-298,300-302,304-313,323-324,327-335,337,339-340,352-353,360,367-369,388-393 +src/tactic/arith/eq2bv_tactic.cpp 266 225 84% 59-60,120-123,125-128,131-134,136-140,142,168-169,207-209,225-227,236-238,265-266,269,271-272,282,285,382-384 +src/tactic/arith/factor_tactic.cpp 205 159 77% 50,56,59-67,78,86,88,91-92,99-111,121,149-150,156,163-164,166,191,203,213,297,304-305,307-308,316-317 +src/tactic/arith/fix_dl_var_tactic.cpp 180 147 81% 51,84-85,95,103-105,107,117,121-124,126,128,137-139,141,147,165,170,172,210,271,290-291,298,305-307,315-316 +src/tactic/arith/fm_tactic.cpp 1173 642 54% 69-71,83-85,99,101,109-110,119,126,128,132,140,145-148,150,156-159,163,165-167,169-170,198,207,210,224,227-228,232,237-242,249-262,264,266,269,271,274,276,278,280,283-284,286,295-307,309-316,318-324,326-328,380,389,393-400,470-472,500-501,509,511,525,533-538,540-544,546,548-549,594,629-634,639,643,648,654-656,659-679,681-684,698-705,707,709-711,713-718,720,722-724,726-727,729-734,736-742,744,746-750,752-753,755,760,777,779,788,790-792,804,896-897,911-912,920-923,930,938,946,954,957-961,963-968,970,992,994-1003,1014,1016,1018-1021,1023-1025,1027-1028,1041-1043,1055-1056,1065,1078-1079,1105-1107,1133-1136,1148,1158-1161,1169,1181,1190,1193-1195,1197-1201,1228,1238-1244,1246-1250,1252-1255,1257-1261,1263,1268-1270,1273-1278,1306-1310,1312-1314,1320-1327,1329,1331-1334,1336-1347,1349-1357,1359,1361,1364-1379,1381-1384,1387-1389,1391,1393,1397,1400-1406,1408-1412,1414-1415,1417-1419,1421-1423,1425-1427,1430-1434,1436-1437,1441,1444,1446-1447,1451-1453,1456-1460,1462-1463,1465,1474-1475,1492-1493,1495-1496,1498-1499,1501-1502,1504,1506,1509-1518,1520-1528,1530,1532,1534,1536-1542,1549-1553,1567,1569,1588-1590,1607,1612-1614,1629-1633,1635,1637-1646,1658-1659,1666,1673-1682 +src/tactic/arith/lia2card_tactic.cpp 276 241 87% 58,76-77,79-80,138,154-156,177,215-216,219-220,245,256-257,260,269,272,275,278-279,297,309-311,313-314,342-343,346-347,353-354 +src/tactic/arith/lia2pb_tactic.cpp 226 184 81% 65,96-99,101-103,118,120,123-125,128-130,133,137-139,143-145,161-162,180,196-197,214,217,255-258,279-281,283-284,309,328-329 +src/tactic/arith/nla2bv_tactic.cpp 293 243 82% 131-137,140-141,164,324-326,339,359-361,382-401,404-407,432-433,436,442-447 +src/tactic/arith/normalize_bounds_tactic.cpp + 108 102 94% 127-129,155,172-173 +src/tactic/arith/pb2bv_model_converter.cpp + 58 40 69% 39-42,53-55,75,83-85,87-88,97-101 +src/tactic/arith/pb2bv_tactic.cpp 706 496 70% 57,59-61,68,80,82,85-87,90,108-110,195,221,223,228-231,294-295,318-332,358-360,366-367,374-375,379-383,385,388-392,394,403-404,406-408,410-412,414-415,417-422,424-426,428-429,431-432,446-447,479,484,486-489,491,493,497-498,500-501,503,506-510,530-534,542,545-546,557-563,584-587,596,601-611,624-628,639,649-652,654,660-661,663-665,667,670-671,673,681-682,684-685,687-689,691,703,705-706,708-712,714-715,717,719-720,722-724,726-727,730,733,736-738,743,754-755,781,804-814,816,838,912-913,950-952,957-958,966,974,978,1011 +src/tactic/arith/probe_arith.cpp 415 263 63% 38-42,44-50,52-63,65-72,79-83,85-86,97-101,103-114,122-126,128-129,141,198,228-230,234,255,263,287-289,293,337-339,344-345,361,367,378-384,395-396,422-423,443,454,460,489,505-507,519,523-524,580-581,583-584,587-588,591-602,607,609-615,617-621,623-628,632-633,635-639,699-701,706-707 +src/tactic/arith/propagate_ineqs_tactic.h + 2 2 100% +src/tactic/arith/purify_arith_tactic.cpp 625 473 75% 147-148,165,169,225,273,295-297,324,351,392-393,395-397,405,410-414,416-419,421,424-426,429-431,436,442,457-459,478-480,500-502,536,563-569,580-586,588-591,598-601,603-609,612-620,622-628,630-633,640-643,645-651,654-662,664-670,672-675,679-686,699,704,708-709,713,715,721,772-774,872-873,906,912-913,915,917,919-920 +src/tactic/arith/recover_01_tactic.cpp 259 0 0% 78-83,85-87,89-92,95-102,104,106-107,109-110,112-117,119,121,123,127-131,133-135,143-145,147-152,155-156,166-175,178-186,188-192,196,198-202,204-205,207,210-212,214-215,217,219-235,237-238,240-247,249-252,254-263,265,267-282,284-295,298-299,301,303-309,311,313-317,319-323,325-330,332-334,337-340,342,344-352,354-355,360-362,365,367-378,380-382,388-391,393-394,397-399,401,403-406,408-411,413,416-417,419-421,423-427,430-431 +src/tactic/bv/bit_blaster_model_converter.cpp + 157 88 56% 103-104,121,127-135,137-141,147-153,156,158-160,195-201,203,205,210-227,229-232,236,239-247 +src/tactic/bv/bit_blaster_tactic.cpp 91 87 95% 58,122,144-145 +src/tactic/bv/bv1_blaster_tactic.cpp 290 116 40% 73,77,79,83-86,88-89,91-93,95-97,99-104,106-118,120-125,127-130,132-133,135-145,147-148,150-161,163-173,175-180,182-196,198-208,210-222,224-225,227-229,231-234,256,261-262,268-269,275-278,280,284,286-287,289-291,293-294,296-297,299-300,305-306,312,318-319,362,388,399,404-406,436,443-446 +src/tactic/bv/bv_bound_chk_tactic.cpp 121 107 88% 53,55,64,80,82,138,147,196-197,206-210 +src/tactic/bv/bv_bounds_tactic.cpp 33 0 0% 39-41,43-45,51-52,55-56,59-61,63,65-67,70,72-73,75-76,78-80,82-83,86-87,93-94,97-98 +src/tactic/bv/bv_size_reduction_tactic.cpp + 183 145 79% 57,76-77,85-86,155,160,170,175,214,230,265-266,269-270,280-286,300-306,317-324,403 +src/tactic/bv/bv_slice_tactic.h 2 0 0% 55-56 +src/tactic/bv/bvarray2uf_rewriter.cpp 261 0 0% 33-41,43-49,51-53,55,57-58,61-70,73-74,77-81,84-85,88-90,92-98,100-101,103-104,106-107,109-123,125,128,130,132-133,135-136,139-142,144-145,147-149,151-152,154-165,167,170-172,174-177,179-181,183,185-188,190,192-193,195-197,199-200,202-209,211-212,214,216-223,225-228,230-234,238-239,242-246,248-249,251-255,257-258,261-263,265-266,268-279,281-286,289-291,293-295,297-299,301-302,304-312,316-317,319,322-323,325-326,328-330,332-335,337-338,340-345,347,351,353-355,357,359,361-371,373,379-380,382-386 +src/tactic/bv/bvarray2uf_rewriter.h 8 0 0% 39-40,59,74-77,79 +src/tactic/bv/bvarray2uf_tactic.cpp 71 0 0% 36,38-43,51,54-56,58,60-62,64-68,71-85,87-88,90-93,95-96,103-106,108-109,112-114,116,118-121,123-125,127,129-130,132-137,142-143 +src/tactic/bv/dt2bv_tactic.cpp 90 76 84% 65-67,79-80,107,109-110,116-117,129,139-141 +src/tactic/bv/elim_small_bv_tactic.cpp 161 147 91% 59,61,114,124,149,152,161-163,169,209,239,241-242 +src/tactic/bv/max_bv_sharing_tactic.h 2 2 100% +src/tactic/core/blast_term_ite_tactic.cpp + 119 62 52% 72,83-84,98,119-122,128-142,145-148,154-157,159-160,163-165,167,169-172,174-178,180-182,184-188,206,210-211 +src/tactic/core/cofactor_elim_term_ite.cpp + 277 253 91% 237-238,261,269-270,277-278,303-305,367,499,505,509,538-539,541-542,570-572,674-676 +src/tactic/core/cofactor_term_ite_tactic.cpp + 31 26 83% 35,48-49,52,54 +src/tactic/core/collect_occs.cpp 54 52 96% 75-76 +src/tactic/core/collect_occs.h 0 0 --% +src/tactic/core/collect_statistics_tactic.cpp + 105 0 0% 50-53,55,57-58,61-63,65,67-68,70-74,76-79,81-83,85,87-88,90-91,102,104-107,109-112,114-115,117-118,120-121,123-130,132-134,136-143,145-149,151-157,159-162,164-167,169-171,173-175,177-181,183-185,187-189,191-192,197-198 +src/tactic/core/ctx_simplify_tactic.cpp 436 387 88% 203,210,212-220,222-224,364,393,397-398,415-416,444-446,451-453,500-509,511-515,517-518,530-531,545-546,564-565 +src/tactic/core/ctx_simplify_tactic.h 6 5 83% 75 +src/tactic/core/demodulator_tactic.h 2 0 0% 96-97 +src/tactic/core/der_tactic.cpp 40 30 75% 43,59-60,67,76-81 +src/tactic/core/distribute_forall_tactic.h + 2 2 100% +src/tactic/core/dom_simplify_tactic.h 2 2 100% +src/tactic/core/elim_term_ite_tactic.cpp 95 87 91% 38,40,139,150-153,155 +src/tactic/core/elim_uncnstr2_tactic.h 2 0 0% 114-115 +src/tactic/core/elim_uncnstr_tactic.cpp 636 479 75% 76,78,98,156,160,174-176,181-189,191-195,197-201,203,205-208,210,257,270,313-317,321-325,329-333,341,351,361,392,403,417,427-428,442,447,457,460,495,500,511-512,514-519,529,531,536-537,544,552,554-560,567,571-581,583-584,592,596-597,600-603,605,607-612,615-616,619-622,624,626-631,703,708,714,741,751-757,774-775,780,783,808-811,813-818,824,949,985,1021-1023 +src/tactic/core/eliminate_predicates_tactic.h + 2 0 0% 60-61 +src/tactic/core/injectivity_tactic.cpp 149 0 0% 27,29-38,48-52,54-55,57,65-69,71,73-75,77-79,81,85-86,88-90,92-93,97,99-102,104,106-107,109-110,112-113,115-116,120-124,126-127,130-131,135-136,138,140-142,144,146-148,150-151,153,160,162-163,168-169,171-173,175-176,179-180,182-183,186-187,190-191,193-194,196-197,199-202,208-211,223-230,232-233,236-240,242,244-247,249-252,254,256,258-266,268-274,279-280 +src/tactic/core/nnf_tactic.cpp 64 62 96% 50,54 +src/tactic/core/occf_tactic.cpp 133 0 0% 33-35,37-39,41,43,46-47,50-62,68-73,78-82,85-94,97-101,103,105-109,112-119,122-123,125,127,129,131-132,134,136,138,140-166,168-169,171,173,175-182,187-189,191-192,195-197,199,201-202,204,206-207,209-213,217-218 +src/tactic/core/pb_preprocess_tactic.cpp 364 0 0% 42,44-50,76-78,80-82,86-87,89-91,93,95,98-100,102-106,109,111-115,117-118,120-121,123-125,127-130,132-133,136,138-154,157-169,173,175-206,208,210-211,213-214,216-217,221-226,228-231,233,235-252,348,350,352-363,365,367,369,371-373,375-377,379-381,383-388,390-392,394-396,398-405,407-408,410-414,417-418,420-422,424-425,427-428,442-448,461,463-475,477-510,512,514-515,517-518,522-526,530,534-536,538,540-544,546,548-574,576-577,579,581-582,584-598,600-610,612,616-631,635-637 +src/tactic/core/propagate_values2_tactic.h + 2 0 0% 51-52 +src/tactic/core/propagate_values_tactic.cpp + 167 156 93% 77-79,89-91,123,150,223,241-242 +src/tactic/core/reduce_args_tactic.cpp 277 254 91% 76-77,117-118,144-145,271,396-403,414,431,453-454,457,471-473 +src/tactic/core/reduce_args_tactic.h 2 0 0% 76-77 +src/tactic/core/simplify_tactic.cpp 79 73 92% 71,77,101-102,121-122 +src/tactic/core/simplify_tactic.h 3 2 66% 96 +src/tactic/core/solve_eqs_tactic.h 2 2 100% +src/tactic/core/special_relations_tactic.cpp + 127 0 0% 25,27-33,35-39,41-47,50-57,59-69,71-78,80-85,87-89,91-96,98-103,105-110,112-114,116-117,119-122,126-139,141-143,145-147,149-151,153-155,157-158,161-165,167-172,174-176,178-179 +src/tactic/core/special_relations_tactic.h + 8 0 0% 36,47-48,50,52,56,58,60 +src/tactic/core/split_clause_tactic.cpp 80 47 58% 39-44,53-54,56,61-70,72-73,76,84-88,90,96-98,113,120 +src/tactic/core/symmetry_reduce_tactic.cpp + 337 203 60% 42,86-87,122,131,138-149,151,153-156,189,192,256-258,294,296-298,312,417,427-435,452-465,467-473,475-483,485,487-489,506-507,515,518-528,530-540,547-554,556-559,572,574-577,579-583,586,588-589,592-597,619,621 +src/tactic/core/tseitin_cnf_tactic.cpp 668 520 77% 24-27,36,104-105,108-109,162-164,171,236,239-242,244-248,251-255,258,271-272,286,345,350,353-369,371-387,393,413-417,515-517,520-522,560-563,565-571,573-575,578-581,583-589,591-593,626-640,642,644-646,648-652,654-655,657,795,826,853,872,899,906-913 +src/tactic/dependency_converter.cpp 52 14 26% 30,32-36,38-40,48,50-55,57-58,61-64,76-88,90,96-97 +src/tactic/dependency_converter.h 0 0 --% +src/tactic/dependent_expr_state_tactic.h 110 98 89% 44,74,78,86,102,104,132-133,166-169 +src/tactic/fd_solver/bounded_int2bv_solver.cpp + 268 221 82% 88-90,100-103,126-129,148,159-160,163-167,175-179,210-211,213-217,226-227,243-245,248-250,293,304,349-350,366,376,380-381 +src/tactic/fd_solver/enum2bv_solver.cpp 131 100 76% 53-55,85-86,89-93,106-111,125-126,128-129,131-132,134-136,163,190-192,194-195 +src/tactic/fd_solver/fd_solver.cpp 15 13 86% 42-43 +src/tactic/fd_solver/pb2bv_solver.cpp 112 90 80% 54-56,82-83,89,97-100,102-104,106-107,121-122,124-128 +src/tactic/fd_solver/smtfd_solver.cpp 1339 0 0% 145,161-165,167-169,171-172,174-178,180-181,184-187,189-193,195,197-202,204-206,208-209,211-212,214-215,219-229,231-233,235-236,239-240,243-245,247-252,254-261,263-267,269-270,272-275,277-283,286-298,300-307,309,312-313,315-337,339,341,343,345-357,359-360,362-370,391-395,397,399-401,405,407,409,411,413,415-418,421,428,453,459,461-462,480,482-487,489-491,493-494,498-510,512,514-522,525,529-530,532,534-538,540-543,545-550,552-556,558-568,570-572,574,577-585,587,590-591,593,600-606,609-611,613,615-618,620-621,623-626,629-634,636-640,642-643,645-649,651-652,654-658,660,662-664,666-667,669-671,673-674,676-678,680,683-685,687,689-699,701-702,707-716,722-732,738-748,758-765,768-769,772-782,784-789,793-795,797-805,807-809,811-812,814-815,817-818,820-832,834-835,838-841,843,845,847-860,862-866,868-872,874,876-880,882-887,889-890,899-904,914-922,924-928,930-935,938-948,950-956,959-962,964-974,976-979,981,983,985-991,993-1001,1016-1017,1019-1021,1023-1024,1026-1027,1030-1035,1042-1044,1046-1047,1049-1050,1052-1054,1056,1058-1063,1065-1076,1085-1109,1112-1116,1118-1119,1121-1129,1132-1134,1136,1138-1139,1142-1143,1145-1146,1149-1165,1167-1190,1194-1197,1199-1202,1204-1205,1207-1214,1216-1218,1220,1222,1224-1230,1232,1234,1236,1238-1241,1243-1251,1253-1255,1257-1258,1260-1265,1267-1272,1275,1277-1279,1281-1283,1285-1286,1289-1293,1295,1297,1299-1310,1313-1318,1321-1322,1324-1335,1351-1352,1354-1358,1360-1362,1364-1374,1376-1379,1384-1393,1395-1398,1405-1409,1411-1412,1414-1415,1417,1423-1435,1437-1439,1441-1444,1446-1449,1451-1452,1454-1460,1462-1465,1467,1469-1471,1473-1479,1481,1483-1488,1491-1493,1495-1506,1508,1510-1513,1515-1523,1527-1534,1536,1538,1540-1544,1546-1547,1549,1551-1553,1557-1576,1578,1606-1611,1613-1615,1618-1619,1622-1624,1626-1642,1644-1647,1652,1654-1658,1661-1678,1698-1707,1709-1712,1714,1716,1733,1749-1750,1752-1758,1760-1762,1764-1767,1769-1775,1777-1784,1786-1787,1791-1792,1794,1797,1799-1801,1803-1806,1809-1815,1817-1818,1821-1823,1825-1827,1830-1849,1851-1855,1858-1860,1862-1871,1873-1885,1887-1891,1894-1895,1897-1900,1906-1913,1915-1919,1921-1927,1929-1930,1933-1935,1939-1941,1945-1946,1948,1950,1952,1954,1956,1958-1959,1961,1964-1965,1967-1971,1973-1974,1976-1977,1979-1981,1983-1985,1988-1989,1991-1995,1997-1999,2001-2004,2006,2008,2010-2012,2014-2017,2019-2026,2028-2032,2034-2052,2054-2055,2058-2064,2066-2067,2070,2072,2074,2076-2077,2080-2083,2085-2087,2090-2091,2094-2095,2102-2103,2106-2107 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41-45,47-48,51-53,55,57-60,62-64,66-69,72-73,76-77,79-80,82-86,89-90,92-99,101-102,104,106,108-109,111-116,118-122,124-126,128-131,141-145,147-148,151-153,155,157-160,162-164,166-169,172-173,175-178,180-184,186-192,194,196,198,200,202-203,205-210,212-213,215-217,219-221,225-227,230,232-237,239-241,243,245,247-256,258,260-263,267-270 +src/tactic/smtlogics/nra_tactic.cpp 19 19 100% +src/tactic/smtlogics/qfaufbv_tactic.cpp 27 27 100% +src/tactic/smtlogics/qfauflia_tactic.cpp 17 17 100% +src/tactic/smtlogics/qfbv_tactic.cpp 66 65 98% 130 +src/tactic/smtlogics/qfidl_tactic.cpp 54 54 100% +src/tactic/smtlogics/qflia_tactic.cpp 153 152 99% 48 +src/tactic/smtlogics/qflra_tactic.cpp 17 17 100% +src/tactic/smtlogics/qfnia_tactic.cpp 73 73 100% +src/tactic/smtlogics/qfnra_tactic.cpp 200 199 99% 321 +src/tactic/smtlogics/qfuf_tactic.cpp 12 12 100% +src/tactic/smtlogics/qfufbv_ackr_model_converter.cpp + 2 2 100% +src/tactic/smtlogics/qfufbv_tactic.cpp 117 102 87% 54,74,76-78,105-106,118-120,122-125,133 +src/tactic/smtlogics/quant_tactics.cpp 74 59 79% 69,71-76,91-96,103,115 +src/tactic/smtlogics/smt_tactic.cpp 12 11 91% 27 +src/tactic/tactic.cpp 200 145 72% 32-39,41-44,47,55-57,62,69,120,122,124,126-129,135,139-141,143,145,147,150-151,191,193,246-247,267,286-289,292-298,303-306,311 +src/tactic/tactic.h 26 16 61% 70,77-79,81,86-87,89,130,132 +src/tactic/tactic_exception.h 3 3 100% +src/tactic/tactical.cpp 793 415 52% 82-85,108,148,152,155-167,175-177,179,184-185,187-189,191-193,195-197,199-201,203-205,207-210,217-219,221-223,225-227,263-264,267-268,299-301,315-317,323-325,344,362,365-367,369-371,373-375,377,381-382,395-398,426-428,431-433,436-438,441-443,446-448,475,482-483,489,547-550,553-557,570-572,574,579,588-590,593-595,598-600,613,615,617,619-620,622-623,627-629,631-636,638-640,642-644,647-649,651-657,659-660,662-663,665-670,672-674,676,678,681-682,685-693,696-704,707-715,717-723,725-727,729,731-748,750,752-756,758,760-768,771,773-774,776-782,784-787,789,793-794,796-806,808-819,821,824-837,839-840,846-847,851-856,858,885-886,888,948-949,951-952,955,957,966-977,986,992-994,1005,1007,1009-1013,1015,1017-1019,1023-1024,1031,1053,1080,1132,1149,1165-1168,1187,1218,1237,1241-1242,1253,1255,1257-1260,1262,1264,1266-1267,1280-1281 +src/tactic/ufbv/macro_finder_tactic.cpp 77 68 88% 100-101,108,115-120 +src/tactic/ufbv/quasi_macros_tactic.cpp 75 65 86% 49-50,103-104,111,118-122 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10-19,21-26,28-41,43-65,67-81,83-92,94-98,100-101,103-106,108-121,123,125-132,135-144,146-152,157-159,161-172,174-176,178-182,184-188,190-194,198-203,206-211,214-220,222-234,236-239,241-245,247-251,254-255,258-259,262-265,267-271,273-276,278-282,284-287,289-294,296-299,301-302,305-307,309-311,313-320,322-330,332-333,335-336,338,341,343,345-346,348-352,354-357,359-363,365-372,375-376,378-383,386-392,394-402,404-408,410-419,421-424,426-427,429-440,442-446,448,450-454,456,458-463,465,468-484,486-498,503-507,515-535 +src/test/bit_blaster.cpp 126 109 86% 27-35,37-41,43-45 +src/test/bit_vector.cpp 214 213 99% 205 +src/test/bits.cpp 158 0 0% 15,17-81,83,85-86,89-90,93-94,97-98,101-102,105-106,109-110,113-114,117-118,120,122,124-140,142,144-145,147,149,151-154,156-163,166-168,170-178,180-187,189-200,202-206 +src/test/buffer.cpp 23 23 100% +src/test/chashtable.cpp 130 130 100% +src/test/check_assumptions.cpp 25 25 100% +src/test/cnf_backbones.cpp 211 0 0% 17-21,23-28,30-32,35-39,55-56,58-59,61-62,64-65,67,69,73-78,81,85-93,95-115,118-126,130-136,139-140,142-152,154-157,159-180,182-210,212-220,223-232,234-238,240-241,243,245,247-255,257-261,263-265,267,269-272,274-280,282,284-286 +src/test/cube_clause.cpp 59 59 100% +src/test/datalog_parser.cpp 41 0 0% 19-25,27,29-31,33,35-36,38-42,44-45,47-51,55-63,65-70 +src/test/ddnf.cpp 150 0 0% 21-27,32,38-42,45,47-51,53-54,56-66,68-78,80,82,84-87,90,92-96,98-99,101-111,113,115-116,118,120-121,124-128,131-137,140,144,148,151-158,160-161,163-165,167,170-181,183-193,196-201,203,205-221 +src/test/diff_logic.cpp 2 2 100% +src/test/distribution.cpp 21 0 0% 21-26,28-32,34-39,41,43-45 +src/test/dl_context.cpp 2 2 100% +src/test/dl_product_relation.cpp 252 1 0% 23,25-27,31-38,40-47,49-57,60-68,70-74,76-79,81-87,89-90,92-96,98-107,110-112,114,116-120,122-127,129-134,136-143,145-147,149-150,152-158,160-161,163-164,166-169,171-178,180-185,187-190,193-198,200-202,204-205,208-210,212-221,224-228,230-232,234-236,238-240,242,244-250,252-256,258-259,261-263,265-267,270-272,275,277-280,282-284,286-288,290-292,294-296,298-299,301-304,306,308,310-311,313-315,317-318,320-321,323,325-328,330-332,334-338,340-342,345 +src/test/dl_query.cpp 149 0 0% 20-22,24,26-32,34-40,42-44,46-47,49-53,55,59-60,62-65,67-72,75,77-84,86,88-90,92-98,100-102,104-109,111,113-115,117-122,124-125,127-131,133-140,142-149,151-154,156-161,165,167-169,172,174-176,178-180,182-186,188-189,191-192,194-202,204,206-210,266 +src/test/dl_relation.cpp 217 217 100% +src/test/dl_table.cpp 71 71 100% +src/test/dl_util.cpp 33 33 100% +src/test/dlist.cpp 119 119 100% +src/test/doc.cpp 385 380 98% 196-197,329,345,349 +src/test/egraph.cpp 106 106 100% +src/test/escaped.cpp 15 15 100% 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8,10-14,16,18-20,23,27-37,39-42,44-47,49-50,52-55,57-62,64-65,67-70,72-75,77-78,80-83,85-89,91-92,94-97,99-106,108-109,111-114,116-121,123-124,126-129,131-135,137-138,140-143,145-149,151-152,154-157,159-165,167-168,170-173,175-179,181-182,184-195 +src/test/fixed_bit_vector.cpp 78 78 100% +src/test/fuzzing/expr_delta.cpp 53 0 0% 10,12-14,16-17,20-29,32,34-36,38-42,45,47,49-52,54-56,58-60,62-67,69-75,78,81-82 +src/test/fuzzing/expr_rand.cpp 216 0 0% 14-18,20-26,28-30,32-34,36-44,46-49,51-60,62-66,68-70,73-83,86-97,99-107,109-112,115-117,119-128,130-137,139-168,170,172-173,175,177-180,184-200,204-210,212-218,220-229,231-234,240,242-246,248-249,251-254,256-270 +src/test/fuzzing/expr_rand.h 1 0 0% 45 +src/test/get_consequences.cpp 76 0 0% 17-18,21-22,25-27,30-34,36-38,40-50,52-53,56-61,63-71,73-77,79-81,83-85,87-89,91-94,96,98-99,101-103,105-108,110,112-115 +src/test/get_implied_equalities.cpp 91 91 100% +src/test/hashtable.cpp 2 2 100% +src/test/heap.cpp 83 79 95% 47-48,77,84 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+
+
+ + + + diff --git a/z3.log b/z3.log new file mode 100644 index 000000000..75421bbbf --- /dev/null +++ b/z3.log @@ -0,0 +1,60 @@ +[tool-version] Z3 4.15.4 +[mk-app] #1 true +[mk-app] #2 false +[mk-app] #1 true +[mk-app] #2 false +[mk-app] #3 pi +[mk-app] #4 euler +[mk-var] datatype#0 0 +[mk-var] datatype#1 1 +[mk-app] datatype#2 insert datatype#0 datatype#1 +[mk-app] datatype#3 pattern datatype#2 +[mk-app] datatype#4 head datatype#2 +[mk-app] datatype#5 = datatype#0 datatype#4 +[mk-quant] datatype#6 constructor_accessor_axiom 2 datatype#3 datatype#5 +[attach-var-names] datatype#6 (;k!0) (;List) +[mk-app] datatype#7 tail datatype#2 +[mk-app] datatype#8 = datatype#1 datatype#7 +[mk-quant] datatype#9 constructor_accessor_axiom 2 datatype#3 datatype#8 +[attach-var-names] datatype#9 (;k!0) (;List) +[mk-app] #5 bv +[attach-meaning] #5 bv #b0 +[mk-var] #6 0 +[mk-var] #7 1 +[mk-var] #8 2 +[mk-var] #9 3 +[mk-var] #10 4 +[mk-var] #11 5 +[mk-var] #12 6 +[mk-var] #13 7 +[mk-var] #14 8 +[mk-var] #15 9 +[mk-var] #16 10 +[mk-var] #17 11 +[mk-var] #18 12 +[mk-var] #19 13 +[mk-var] #20 14 +[mk-app] #21 + #14 #12 +[attach-enode] #1 0 +[attach-enode] #2 0 +[mk-app] #5 bv +[attach-meaning] #5 bv #b0 +[mk-var] #14 0 +[mk-var] #12 1 +[mk-var] #21 2 +[mk-var] #6 3 +[mk-var] #20 4 +[mk-var] #19 5 +[mk-var] #18 6 +[mk-var] #17 7 +[mk-var] #16 8 +[mk-var] #15 9 +[mk-var] #13 10 +[mk-var] #11 11 +[mk-var] #10 12 +[mk-var] #9 13 +[mk-var] #8 14 +[mk-app] #7 + #16 #18 +[attach-enode] #1 0 +[attach-enode] #2 0 +[eof] diff --git a/z3test b/z3test new file mode 160000 index 000000000..4186a4bf4 --- /dev/null +++ b/z3test @@ -0,0 +1 @@ +Subproject commit 4186a4bf47b920d50671c396f904fe69e3e5c41d