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- Cages are numbered top-down left-right starting from 0. If this is hard to understand, here is a key: https://i.imgur.com/lrmzXpE.png
- Max difficulty: 4.8; total difficulty: 351.9
- 0: Filled in initial combinations & candidates
- 1: (0) Naked single: 7 in r1c6
- 2: (0) Naked single: 4 in r1c8
- 3: (0) Naked single: 4 in r3c1
- 4: (0) Naked single: 7 in r7c3
- 5: (0) Naked single: 4 in r7c4
- 6: (0) Naked single: 2 in r7c7
- 7: (0) Naked single: 7 in r8c4
- 8: (0) Naked single: 2 in r8c8
- 9: (1) Hidden single: 4 in r8c5
- 10: (1.5) Pointing candidates: all combinations for cage 13 contain 1c1,2c1; eliminations in r1c1, r2c1, r6c1
- 11: (0) Naked single: 7 in r6c1
- 12: (0) Naked single: 3 in r7c1
- 13: (1.5) Pointing candidates: all combinations for cage 15 contain 4c6; eliminations in r2c6, r6c6
- 14: (1.5) Pointing candidates: all combinations for cage 16 contain 1r4,5r4; eliminations in r4c1, r4c2, r4c5, r4c6
- 15: (0) Naked single: 2 in r4c1
- 16: (0) Naked single: 1 in r5c1
- 17: (1.5) Pointing candidates: all combinations for cage 23 contain 5c8,8c8; eliminations in r2c8, r3c8, r4c8, r5c8
- 18: (0) Naked single: 5 in r4c7
- 19: (0) Naked single: 1 in r4c8
- 20: (3.2) Region parity: Cols 7, 8 must sum to Even number; cage 12's cells within this region must sum to Odd number; reduced from 8 combinations to 4
- 21: (3.4) Region sum: Cols 7, 8 must sum to 72; cages 12, 30's cells within this region must sum to 16; cages 12 reduced from 4 combinations to 3
- 22: (1.5) Claiming candidates: cage 10 must contain 1 in r3c3, r3c4: from 16 combinations to 10
- 23: (1.5) Pointing candidates: all combinations for cage 12 contain 7r3; eliminations in r3c5
- 24: (4) Cage comparison: cages 23, 17 interact such that cage 17 has incongruous combinations; reduced from 71 to 65 combinations
- 25: (4) Cage comparison: cages 26, 2 interact such that cage 2 has incongruous combinations; reduced from 56 to 54 combinations
- 26: (4) Cage comparison: cages 30, 22 interact such that cage 22 has incongruous combinations; reduced from 11 to 10 combinations
- 27: (4) Cage comparison: cages 20, 4 interact such that cage 4 has incongruous combinations; reduced from 7 to 5 combinations
- 28: (4) Cage comparison: cages 20, 17 interact such that cage 17 has incongruous combinations; reduced from 65 to 62 combinations
- 29: (4) Cage comparison: cages 0, 2 interact such that cage 2 has incongruous combinations; reduced from 54 to 47 combinations
- 30: (4) Cage comparison: cages 4, 2 interact such that cage 2 has incongruous combinations; reduced from 47 to 46 combinations
- 31: (4) Cage comparison: cages 11, 19 interact such that cage 19 has incongruous combinations; reduced from 16 to 12 combinations
- 32: (4) Cage comparison: cages 11, 2 interact such that cage 2 has incongruous combinations; reduced from 46 to 39 combinations
- 33: (4) Cage comparison: cages 14, 1 interact such that cage 1 has incongruous combinations; reduced from 19 to 17 combinations
- 34: (4.2) Cage comparison: cages 23, 26, 22 interact such that cage 22 has incongruous combinations; reduced from 10 to 9 combinations
- 35: (4.2) Cage comparison: cages 23, 26, 17 interact such that cage 17 has incongruous combinations; reduced from 62 to 55 combinations
- 36: (4.2) Cage comparison: cages 26, 11, 2 interact such that cage 2 has incongruous combinations; reduced from 39 to 34 combinations
- 37: (4.2) Cage comparison: cages 30, 22, 7 interact such that cage 7 has incongruous combinations; reduced from 14 to 12 combinations
- 38: (4.2) Cage comparison: cages 12, 4, 20 interact such that cage 12 has incongruous combinations; reduced from 3 to 2 combinations
- 39: (4.2) Cage comparison: cages 4, 0, 2 interact such that cage 2 has incongruous combinations; reduced from 34 to 30 combinations
- 40: (4.2) Cage comparison: cages 20, 14, 18 interact such that cage 18 has incongruous combinations; reduced from 11 to 9 combinations
- 41: (4) Cage comparison: cages 18, 2 interact such that cage 2 has incongruous combinations; reduced from 30 to 29 combinations
- 42: (4.2) Cage comparison: cages 20, 14, 17 interact such that cage 17 has incongruous combinations; reduced from 55 to 54 combinations
- 43: (4.2) Cage comparison: cages 0, 28, 17 interact such that cage 17 has incongruous combinations; reduced from 54 to 53 combinations
- 44: (4.2) Cage comparison: cages 28, 14, 17 interact such that cage 17 has incongruous combinations; reduced from 53 to 52 combinations
- 45: (4.2) Cage comparison: cages 28, 9, 17 interact such that cages 9, 17 have incongruous combinations; reduced from 12, 52 to 10, 42 combinations respectively
- 46: (4.2) Cage comparison: cages 11, 19, 2 interact such that cage 2 has incongruous combinations; reduced from 29 to 27 combinations
- 47: (4.4) Cage comparison: cages 23, 26, 22, 17 interact such that cage 17 has incongruous combinations; reduced from 42 to 40 combinations
- 48: (4.4) Cage comparison: cages 26, 11, 19, 2 interact such that cage 19 has incongruous combinations; reduced from 12 to 10 combinations
- 49: (4.4) Cage comparison: cages 4, 0, 6, 2 interact such that cages 0, 6, 2 have incongruous combinations; reduced from 6, 7, 27 to 5, 6, 20 combinations respectively
- 50: (4.4) Cage comparison: cages 4, 0, 1, 2 interact such that cages 1, 2 have incongruous combinations; reduced from 17, 20 to 15, 16 combinations respectively
- 51: (4.4) Cage comparison: cages 15, 11, 14, 9 interact such that cage 9 has incongruous combinations; reduced from 10 to 9 combinations
- 52: (4.4) Cage comparison: cages 0, 28, 9, 17 interact such that cage 17 has incongruous combinations; reduced from 40 to 37 combinations
- 53: (4.4) Cage comparison: cages 18, 10, 1, 2 interact such that cages 1, 2 have incongruous combinations; reduced from 15, 16 to 14, 15 combinations respectively
- 54: (4.4) Cage comparison: cages 4, 0, 6, 2 interact such that cage 6 has incongruous combinations; reduced from 6 to 4 combinations
- 55: (4.4) Cage comparison: cages 4, 0, 1, 2 interact such that cage 1 has incongruous combinations; reduced from 14 to 10 combinations
- 56: (4.4) Cage comparison: cages 28, 6, 14, 17 interact such that cage 17 has incongruous combinations; reduced from 37 to 35 combinations
- 57: (4.4) Cage comparison: cages 28, 6, 9, 17 interact such that cage 17 has incongruous combinations; reduced from 35 to 33 combinations
- 58: (4.4) Cage comparison: cages 12, 4, 6, 7 interact such that cage 7 has incongruous combinations; reduced from 12 to 11 combinations
- 59: (4.6) Cage comparison: cages 12, 30, 4, 22, 7 interact such that cages 22, 7 have incongruous combinations; reduced from 9, 11 to 8, 10 combinations respectively
- 60: (4.6) Cage comparison: cages 12, 4, 20, 18, 2 interact such that cage 18 has incongruous combinations; reduced from 9 to 8 combinations
- 61: (4.6) Cage comparison: cages 12, 15, 20, 11, 14 interact such that cage 11 has incongruous combinations; reduced from 7 to 6 combinations
- 62: (4.6) Cage comparison: cages 12, 15, 20, 14, 9 interact such that cage 9 has incongruous combinations; reduced from 9 to 8 combinations
- 63: (4.6) Cage comparison: cages 23, 20, 14, 18, 17 interact such that cage 17 has incongruous combinations; reduced from 33 to 32 combinations
- 64: (4.6) Cage comparison: cages 23, 22, 18, 19, 17 interact such that cage 17 has incongruous combinations; reduced from 32 to 29 combinations
- 65: (4.6) Cage comparison: cages 6, 0, 4, 1, 2 interact such that cage 1 has incongruous combinations; reduced from 10 to 7 combinations
- 66: (4.6) Cage comparison: cages 6, 0, 28, 9, 17 interact such that cage 17 has incongruous combinations; reduced from 29 to 25 combinations
- 67: (4.6) Cage comparison: cages 6, 20, 28, 14, 17 interact such that cage 17 has incongruous combinations; reduced from 25 to 23 combinations
- 68: (4.8) Cage comparison: cages 12, 6, 0, 4, 20, 17 interact such that cage 17 has incongruous combinations; reduced from 23 to 22 combinations
- 69: (4.8) Cage comparison: cages 12, 15, 20, 14, 18, 10 interact such that cage 10 has incongruous combinations; reduced from 10 to 9 combinations
- 70: (4.8) Cage comparison: cages 23, 26, 18, 22, 19, 17 interact such that cage 17 has incongruous combinations; reduced from 22 to 20 combinations
- 71: (4.6) Cage comparison: cages 17, 6, 28, 9, 7 interact such that cage 7 has incongruous combinations; reduced from 10 to 9 combinations
- 72: (4.6) Cage comparison: cages 17, 0, 28, 1, 14 interact such that cage 28 has incongruous combinations; reduced from 6 to 5 combinations
- 73: (4.8) Cage comparison: cages 23, 20, 28, 14, 18, 17 interact such that cage 17 has incongruous combinations; reduced from 20 to 19 combinations
- 74: (4.8) Cage comparison: cages 30, 0, 4, 1, 7, 2 interact such that cage 2 has incongruous combinations; reduced from 15 to 13 combinations
- 75: (4.4) Cage comparison: cages 2, 20, 14, 18 interact such that cage 18 has incongruous combinations; reduced from 8 to 7 combinations
- 76: (4.6) Cage comparison: cages 2, 6, 0, 4, 7 interact such that cage 7 has incongruous combinations; reduced from 9 to 8 combinations
- 77: (4.8) Cage comparison: cages 6, 0, 4, 28, 1, 2 interact such that cages 1, 2 have incongruous combinations; reduced from 7, 13 to 6, 12 combinations respectively
- 78: (4.8) Cage comparison: cages 6, 0, 4, 1, 7, 2 interact such that cages 1, 7 have incongruous combinations; reduced from 6, 8 to 5, 7 combinations respectively
- 79: (4.6) Cage comparison: cages 1, 4, 18, 10, 2 interact such that cage 2 has incongruous combinations; reduced from 12 to 11 combinations
- 80: (1.5) Claiming candidates: cage 4 must contain 7 in r2c7, r2c8: from 5 combinations to 4
- 81: (1.5) Claiming candidates: cage 20 must contain 4 in r5c7, r6c7: from 5 combinations to 4
- 82: (4.2) Cage comparison: cages 20, 15, 14 interact such that cages 15, 14 have incongruous combinations; reduced from 5, 7 to 4, 6 combinations respectively
- 83: (4.2) Cage comparison: cages 14, 2, 10 interact such that cage 10 has incongruous combinations; reduced from 9 to 8 combinations
- 84: (4.6) Cage comparison: cages 4, 1, 2, 6, 0 interact such that cage 0 has incongruous combinations; reduced from 5 to 4 combinations
- 85: (4.4) Cage comparison: cages 0, 28, 14, 9 interact such that cage 9 has incongruous combinations; reduced from 8 to 7 combinations
- 86: (4.4) Cage comparison: cages 0, 9, 28, 17 interact such that cage 28 has incongruous combinations; reduced from 5 to 4 combinations
- 87: (4.2) Cage comparison: cages 28, 6, 17 interact such that cage 17 has incongruous combinations; reduced from 19 to 18 combinations
- 88: (4.4) Cage comparison: cages 0, 28, 17, 14 interact such that cage 17 has incongruous combinations; reduced from 18 to 17 combinations
- 89: (4.6) Cage comparison: cages 0, 15, 9, 2, 11 interact such that cage 2 has incongruous combinations; reduced from 11 to 10 combinations
- 90: (4.6) Cage comparison: cages 0, 28, 1, 14, 17 interact such that cage 17 has incongruous combinations; reduced from 17 to 16 combinations
- 91: (4.6) Cage comparison: cages 0, 28, 9, 17, 6 interact such that cages 28, 9, 17, 6 have incongruous combinations; reduced from 4, 7, 16, 4 to 2, 6, 10, 3 combinations respectively
- 92: (0) Naked single: 8 in r8c2
- 93: (0) Naked single: 8 in r2c1
- 94: (1.5) Pointing candidates: all combinations for cage 2 contain 5r2; eliminations in r2c6
- 95: (4) Cage comparison: cages 4, 2 interact such that cage 2 has incongruous combinations; reduced from 9 to 7 combinations
- 96: (4.2) Cage comparison: cages 9, 17, 14 interact such that cage 17 has incongruous combinations; reduced from 10 to 9 combinations
- 97: (1.5) Claiming candidates: cage 14 must contain 3 in r4c3, r5c3: from 6 combinations to 4
- 98: (4.2) Cage comparison: cages 14, 2, 18 interact such that cage 2 has incongruous combinations; reduced from 7 to 6 combinations
- 99: (4.2) Cage comparison: cages 14, 20, 18 interact such that cage 18 has incongruous combinations; reduced from 7 to 6 combinations
- 100: (4.2) Cage comparison: cages 2, 0, 1 interact such that cage 1 has incongruous combinations; reduced from 5 to 4 combinations
- 101: (4.4) Cage comparison: cages 14, 2, 20, 19 interact such that cage 19 has incongruous combinations; reduced from 10 to 9 combinations
- 102: (4.4) Cage comparison: cages 2, 19, 26, 11 interact such that cage 19 has incongruous combinations; reduced from 9 to 8 combinations
- 103: (4.4) Cage comparison: cages 9, 17, 15, 20 interact such that cage 17 has incongruous combinations; reduced from 9 to 8 combinations
- 104: (1) Hidden single: 4 in r2c3
- 105: (2.1) Hidden triple: 3, 4, 7 in r5c2, r6c2
- 106: (0) Naked single: 6 in r7c2
- 107: (1) Hidden single: 1 in r3c3
- 108: (1) Hidden single: 5 in r8c3
- 109: (0) Naked single: 6 in r8c1
- 110: (0) Naked single: 5 in r1c1
- 111: (0) Naked single: 2 in r1c2
- 112: (0) Naked single: 8 in r1c3
- 113: (0) Naked single: 7 in r2c7
- 114: (0) Naked single: 8 in r3c7
- 115: (0) Naked single: 7 in r3c8
- 116: (0) Naked single: 8 in r4c4
- 117: (0) Naked single: 4 in r4c6
- 118: (0) Naked single: 5 in r3c2
- 119: (0) Naked single: 2 in r2c6
- 120: (0) Naked single: 6 in r3c6
- 121: (0) Naked single: 3 in r3c5
- 122: (0) Naked single: 2 in r3c4
- 123: (0) Naked single: 5 in r5c4
- 124: (0) Naked single: 8 in r5c6
- 125: (0) Naked single: 5 in r2c5
- 126: (0) Naked single: 1 in r6c4
- 127: (0) Naked single: 5 in r6c6
- 128: (0) Naked single: 8 in r6c8
- 129: (0) Naked single: 5 in r7c8
- 130: (0) Naked single: 1 in r7c6
- 131: (0) Naked single: 8 in r7c5
- 132: (0) Naked single: 3 in r8c6
- 133: (0) Naked single: 1 in r8c7
- 134: (0) Naked single: 1 in r1c5
- 135: (0) Naked single: 1 in r2c2
- 136: (0) Naked single: 5 in r8c3
- 137: (1) Hidden single: 2 in r5c5
- 138: (0) Naked single: 6 in r6c5
- 139: (0) Naked single: 7 in r5c2
- 140: (0) Naked single: 3 in r4c2
- 141: (0) Naked single: 6 in r4c3
- 142: (0) Naked single: 3 in r5c3
- 143: (0) Naked single: 4 in r5c7
- 144: (0) Naked single: 6 in r5c8
- 145: (0) Naked single: 6 in r1c7
- 146: (0) Naked single: 3 in r1c4
- 147: (0) Naked single: 6 in r2c4
- 148: (0) Naked single: 3 in r2c8
- 149: (0) Naked single: 3 in r6c7
- 150: (0) Naked single: 4 in r6c2
- 151: (0) Naked single: 2 in r6c3
- 152: (0) Naked single: 7 in r4c5
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