Analysis of xx-ph-00021709-KZ1C-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6..7......5...4.3...72...9.....4......9..9..1.3...1.2...4...5...7......68.. initial
Autosolve
position: 98.7..6..7......5...4.3...72...9.....4......9..9..1.3...1.2...4...5...7......68.. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:22.049520
The following important HDP chains were detected:
* DIS # B7: 6,9 # E1: 1,4 => CTR => E1: 5 * DIS # B7: 6,9 + E1: 5 # E2: 1,4 => CTR => E2: 6,8 * DIS # B7: 6,9 + E1: 5 + E2: 6,8 # E8: 8 => CTR => E8: 1,4 * DIS # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 # A7: 8 => CTR => A7: 3,5 * PRF # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 + A7: 3,5 # I9: 1,2 => SOL * STA # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 + A7: 3,5 + I9: 1,2 * CNT 5 HDP CHAINS / 23 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6..7......5...4.3...72...9.....4......9..9..1.3...1.2...4...5...7......68.. | initial |
| 98.7..6..7......5...4.3...72...9.....4......9..9..1.3...1.2...4...5...7......68.. | autosolve |
| 983752641712964358564138927238495716145673289679281435391827564826549173457316892 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) H7: 6,9 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B4,A5: 1.. / B4 = 1 => 2 pairs (_) / A5 = 1 => 2 pairs (_) A3,A5: 1.. / A3 = 1 => 2 pairs (_) / A5 = 1 => 2 pairs (_) C1,I1: 3.. / C1 = 3 => 5 pairs (_) / I1 = 3 => 2 pairs (_) H1,G2: 4.. / H1 = 4 => 3 pairs (_) / G2 = 4 => 2 pairs (_) A8,A9: 4.. / A8 = 4 => 3 pairs (_) / A9 = 4 => 2 pairs (_) H1,H4: 4.. / H1 = 4 => 3 pairs (_) / H4 = 4 => 2 pairs (_) G7,I9: 5.. / G7 = 5 => 1 pairs (_) / I9 = 5 => 3 pairs (_) H7,I8: 6.. / H7 = 6 => 0 pairs (_) / I8 = 6 => 3 pairs (_) F7,E9: 7.. / F7 = 7 => 2 pairs (_) / E9 = 7 => 2 pairs (_) B7,F7: 7.. / B7 = 7 => 2 pairs (_) / F7 = 7 => 2 pairs (_) I2,H3: 8.. / I2 = 8 => 1 pairs (_) / H3 = 8 => 2 pairs (_) * DURATION: 0:00:06.352752 START: 14:02:21.510768 END: 14:02:27.863520 2020-12-07 * CP COUNT: (11) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:21.919824 START: 14:02:29.488749 END: 14:02:51.408573 2020-12-07 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00021709-KZ1C-base-pr-002.dot * REASONING * DIS # B7: 6,9 # E1: 1,4 => CTR => E1: 5 * DIS # B7: 6,9 + E1: 5 # E2: 1,4 => CTR => E2: 6,8 * DIS # B7: 6,9 + E1: 5 + E2: 6,8 # E8: 8 => CTR => E8: 1,4 * DIS # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 # A7: 8 => CTR => A7: 3,5 * PRF # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 + A7: 3,5 # I9: 1,2 => SOL * STA # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 + A7: 3,5 + I9: 1,2 * CNT 5 HDP CHAINS / 23 HYP OPENED
Header Info
21709;KZ1C;GP;23;11.30;11.30;9.60
Solution
position: 983752641712964358564138927238495716145673289679281435391827564826549173457316892 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 # B7: 6,9 => UNS * INC # B7: 3,5,7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # B7: 6,9 => UNS * INC # B7: 3,5,7 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # B7: 6,9 => UNS * INC # B7: 3,5,7 => UNS * INC # B7: 6,9 # B8: 6,9 => UNS * INC # B7: 6,9 # B8: 2,3 => UNS * INC # B7: 6,9 # F8: 3,8 => UNS * INC # B7: 6,9 # F8: 4,9 => UNS * INC # B7: 6,9 # A7: 3,8 => UNS * INC # B7: 6,9 # A7: 5 => UNS * INC # B7: 6,9 # D4: 3,8 => UNS * INC # B7: 6,9 # D5: 3,8 => UNS * INC # B7: 6,9 # E8: 1,4 => UNS * INC # B7: 6,9 # D9: 1,4 => UNS * DIS # B7: 6,9 # E1: 1,4 => CTR => E1: 5 * DIS # B7: 6,9 + E1: 5 # E2: 1,4 => CTR => E2: 6,8 * INC # B7: 6,9 + E1: 5 + E2: 6,8 # E8: 1,4 => UNS * DIS # B7: 6,9 + E1: 5 + E2: 6,8 # E8: 8 => CTR => E8: 1,4 * INC # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 # I9: 3,5 => UNS * INC # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 # I9: 1,2 => UNS * INC # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 # A7: 3,5 => UNS * DIS # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 # A7: 8 => CTR => A7: 3,5 * INC # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 + A7: 3,5 # I9: 3,5 => UNS * PRF # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 + A7: 3,5 # I9: 1,2 => SOL * STA # B7: 6,9 + E1: 5 + E2: 6,8 + E8: 1,4 + A7: 3,5 + I9: 1,2 * CNT 22 HDP CHAINS / 23 HYP OPENED