Analysis of xx-ph-00247935-12_12_03-base.sdk
Contents
Original Sudoku
level: hard
position: .......12.....3..4..4.1.5....1.6..2..7.3.....8..9...5...6.....5.9...86..3..7..... initial
Autosolve
position: .......12.....3..4..4.1.5....1.6..2..7.3.....8..9...5...6.....5.9...86..3..7.6... autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:35.259027
The following important HDP chains were detected:
* DIS # B6: 2,3 # A4: 4,5 => CTR => A4: 9 * DIS # B6: 2,3 + A4: 9 # D1: 5,8 => CTR => D1: 4,6 * DIS # B6: 2,3 + A4: 9 + D1: 4,6 # A2: 5,7 => CTR => A2: 1,2 * DIS # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # F3: 2,7 => CTR => F3: 9 * PRF # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 + F3: 9 # A7: 2,7 => SOL * STA # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 + F3: 9 + A7: 2,7 * CNT 5 HDP CHAINS / 29 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| .......12.....3..4..4.1.5....1.6..2..7.3.....8..9...5...6.....5.9...86..3..7..... | initial |
| .......12.....3..4..4.1.5....1.6..2..7.3.....8..9...5...6.....5.9...86..3..7.6... | autosolve |
| 569487312187523964234619578941865723675342189823971456716234895492158637358796241 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) C6: 2,3 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A2,B2: 1.. / A2 = 1 => 1 pairs (_) / B2 = 1 => 2 pairs (_) F5,F6: 1.. / F5 = 1 => 1 pairs (_) / F6 = 1 => 1 pairs (_) D7,D8: 1.. / D7 = 1 => 1 pairs (_) / D8 = 1 => 3 pairs (_) G7,G9: 2.. / G7 = 2 => 3 pairs (_) / G9 = 2 => 2 pairs (_) E7,E8: 3.. / E7 = 3 => 1 pairs (_) / E8 = 3 => 3 pairs (_) C1,C6: 3.. / C1 = 3 => 4 pairs (_) / C6 = 3 => 1 pairs (_) A5,B6: 6.. / A5 = 6 => 1 pairs (_) / B6 = 6 => 1 pairs (_) B6,I6: 6.. / B6 = 6 => 1 pairs (_) / I6 = 6 => 1 pairs (_) D4,E5: 8.. / D4 = 8 => 2 pairs (_) / E5 = 8 => 2 pairs (_) * DURATION: 0:00:05.624237 START: 14:16:04.133066 END: 14:16:09.757303 2020-09-22 * CP COUNT: (9) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:35.088795 START: 14:16:11.684756 END: 14:16:46.773551 2020-09-22 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00247935-12_12_03-base-pr-002.dot * REASONING * DIS # B6: 2,3 # A4: 4,5 => CTR => A4: 9 * DIS # B6: 2,3 + A4: 9 # D1: 5,8 => CTR => D1: 4,6 * DIS # B6: 2,3 + A4: 9 + D1: 4,6 # A2: 5,7 => CTR => A2: 1,2 * DIS # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # F3: 2,7 => CTR => F3: 9 * PRF # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 + F3: 9 # A7: 2,7 => SOL * STA # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 + F3: 9 + A7: 2,7 * CNT 5 HDP CHAINS / 29 HYP OPENED
Header Info
247935;12_12_03;dob;22;11.70;1.20;1.20
Solution
position: 569487312187523964234619578941865723675342189823971456716234895492158637358796241 solved
See section Deep Pair Reduction for the HDP chains leading to this result.
Appendix: Full HDP Chains
A1. Pair Reduction Analysis
Full list of HDP chains traversed:
* INC # B6: 2,3 => UNS * INC # B6: 4,6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B6: 2,3 => UNS * INC # B6: 4,6 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B6: 2,3 => UNS * INC # B6: 4,6 => UNS * DIS # B6: 2,3 # A4: 4,5 => CTR => A4: 9 * INC # B6: 2,3 + A4: 9 # B3: 2,3 => UNS * INC # B6: 2,3 + A4: 9 # B3: 6,8 => UNS * DIS # B6: 2,3 + A4: 9 # D1: 5,8 => CTR => D1: 4,6 * INC # B6: 2,3 + A4: 9 + D1: 4,6 # D2: 5,8 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 # D2: 5,8 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 # D2: 2,6 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 # D2: 5,8 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 # D2: 2,6 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 # F1: 5,7 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 # F1: 4,9 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 # F6: 4,7 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 # F6: 1 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 # G6: 4,7 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 # G6: 1 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 # E1: 4,7 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 # E1: 5,8,9 => UNS * DIS # B6: 2,3 + A4: 9 + D1: 4,6 # A2: 5,7 => CTR => A2: 1,2 * INC # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # E1: 5,7 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # F1: 5,7 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # A8: 5,7 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # A8: 1,2,4 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # C2: 2,7 => UNS * INC # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # C2: 8,9 => UNS * DIS # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # F3: 2,7 => CTR => F3: 9 * PRF # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 + F3: 9 # A7: 2,7 => SOL * STA # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 + F3: 9 + A7: 2,7 * CNT 28 HDP CHAINS / 29 HYP OPENED