Analysis of xx-ph-00019523-KZ1C-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....7...6......5..97..5.....4....43...6.....2...1.5...78....96...2.....1...3 initial
Autosolve
position: 98.7.....7...6......5..97..5.....4....43...6.....2...1.5...78....96...2.....1...3 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:37.578366
The following important HDP chains were detected:
* DIS # G1: 1,5 # I5: 2,9 => CTR => I5: 5,7,8 * DIS # G1: 1,5 + I5: 5,7,8 # H7: 4,9 => CTR => H7: 1 * DIS # G1: 1,5 + I5: 5,7,8 + H7: 1 # H9: 7 => CTR => H9: 4,9 * DIS # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 # I4: 8 => CTR => I4: 2,9 * DIS # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 + I4: 2,9 # E5: 5,8 => CTR => E5: 7,9 * DIS # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 + I4: 2,9 + E5: 7,9 # F5: 5,8 => CTR => F5: 1 * PRF # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 + I4: 2,9 + E5: 7,9 + F5: 1 => SOL * STA G1: 1,5 * CNT 7 HDP CHAINS / 37 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....7...6......5..97..5.....4....43...6.....2...1.5...78....96...2.....1...3 | initial |
| 98.7.....7...6......5..97..5.....4....43...6.....2...1.5...78....96...2.....1...3 | autosolve |
| 982753146743168259165249738531896472824371965697425381256937814319684527478512693 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) G8: 1,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H7,G8: 1.. / H7 = 1 => 4 pairs (_) / G8 = 1 => 1 pairs (_) D6,F6: 4.. / D6 = 4 => 2 pairs (_) / F6 = 4 => 1 pairs (_) F4,F6: 6.. / F4 = 6 => 1 pairs (_) / F6 = 6 => 5 pairs (_) I7,G9: 6.. / I7 = 6 => 2 pairs (_) / G9 = 6 => 2 pairs (_) G1,G9: 6.. / G1 = 6 => 2 pairs (_) / G9 = 6 => 2 pairs (_) E4,E5: 7.. / E4 = 7 => 1 pairs (_) / E5 = 7 => 2 pairs (_) I8,H9: 7.. / I8 = 7 => 1 pairs (_) / H9 = 7 => 2 pairs (_) B8,I8: 7.. / B8 = 7 => 2 pairs (_) / I8 = 7 => 1 pairs (_) * DURATION: 0:00:05.109388 START: 19:20:41.143340 END: 19:20:46.252728 2020-12-06 * CP COUNT: (8) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:37.393640 START: 19:20:48.202296 END: 19:21:25.595936 2020-12-06 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00019523-KZ1C-base-pr-002.dot * REASONING * DIS # G1: 1,5 # I5: 2,9 => CTR => I5: 5,7,8 * DIS # G1: 1,5 + I5: 5,7,8 # H7: 4,9 => CTR => H7: 1 * DIS # G1: 1,5 + I5: 5,7,8 + H7: 1 # H9: 7 => CTR => H9: 4,9 * DIS # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 # I4: 8 => CTR => I4: 2,9 * DIS # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 + I4: 2,9 # E5: 5,8 => CTR => E5: 7,9 * DIS # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 + I4: 2,9 + E5: 7,9 # F5: 5,8 => CTR => F5: 1 * PRF # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 + I4: 2,9 + E5: 7,9 + F5: 1 => SOL * STA G1: 1,5 * CNT 7 HDP CHAINS / 37 HYP OPENED
Header Info
19523;KZ1C;GP;23;11.30;11.30;10.10
Solution
position: 982753146743168259165249738531896472824371965697425381256937814319684527478512693 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 # G1: 1,5 => UNS * INC # G2: 1,5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G1: 1,5 => UNS * INC # G2: 1,5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G1: 1,5 => UNS * INC # G2: 1,5 => UNS * INC # G1: 1,5 # H1: 1,5 => UNS * INC # G1: 1,5 # H2: 1,5 => UNS * INC # G1: 1,5 # F1: 1,5 => UNS * INC # G1: 1,5 # F1: 2,3,4 => UNS * INC # G1: 1,5 # I4: 2,9 => UNS * DIS # G1: 1,5 # I5: 2,9 => CTR => I5: 5,7,8 * INC # G1: 1,5 + I5: 5,7,8 # I4: 2,9 => UNS * INC # G1: 1,5 + I5: 5,7,8 # I4: 7,8 => UNS * INC # G1: 1,5 + I5: 5,7,8 # B5: 2,9 => UNS * INC # G1: 1,5 + I5: 5,7,8 # B5: 1,7 => UNS * INC # G1: 1,5 + I5: 5,7,8 # G2: 2,9 => UNS * INC # G1: 1,5 + I5: 5,7,8 # G2: 3 => UNS * INC # G1: 1,5 + I5: 5,7,8 # H4: 3,9 => UNS * INC # G1: 1,5 + I5: 5,7,8 # H6: 3,9 => UNS * INC # G1: 1,5 + I5: 5,7,8 # B6: 3,9 => UNS * INC # G1: 1,5 + I5: 5,7,8 # B6: 6,7 => UNS * INC # G1: 1,5 + I5: 5,7,8 # G2: 3,9 => UNS * INC # G1: 1,5 + I5: 5,7,8 # G2: 2 => UNS * DIS # G1: 1,5 + I5: 5,7,8 # H7: 4,9 => CTR => H7: 1 * INC # G1: 1,5 + I5: 5,7,8 + H7: 1 # H9: 4,9 => UNS * INC # G1: 1,5 + I5: 5,7,8 + H7: 1 # H9: 4,9 => UNS * DIS # G1: 1,5 + I5: 5,7,8 + H7: 1 # H9: 7 => CTR => H9: 4,9 * INC # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 # D7: 4,9 => UNS * INC # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 # E7: 4,9 => UNS * INC # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 # I2: 4,9 => UNS * INC # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 # I2: 2,5,8 => UNS * INC # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 # I4: 2,9 => UNS * DIS # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 # I4: 8 => CTR => I4: 2,9 * INC # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 + I4: 2,9 # B5: 2,9 => UNS * INC # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 + I4: 2,9 # B5: 1,7 => UNS * INC # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 + I4: 2,9 # H6: 5,8 => UNS * INC # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 + I4: 2,9 # H6: 7 => UNS * DIS # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 + I4: 2,9 # E5: 5,8 => CTR => E5: 7,9 * DIS # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 + I4: 2,9 + E5: 7,9 # F5: 5,8 => CTR => F5: 1 * PRF # G1: 1,5 + I5: 5,7,8 + H7: 1 + H9: 4,9 + I4: 2,9 + E5: 7,9 + F5: 1 => SOL * STA G1: 1,5 * CNT 37 HDP CHAINS / 37 HYP OPENED