Analysis of xx-ph-00009997-22ky5-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....6.....9....5.9..7..4......3..65..7......2..1...89..6......3..2......1..4 initial
Autosolve
position: 98.7.....6.....9....5.9..7..4......3..65..7......2..1...89..6......3..2......1..4 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:19.995207
The following important HDP chains were detected:
* PRF # H9: 3,5 # A4: 1,7,8 => SOL * STA # H9: 3,5 + A4: 1,7,8 * CNT 1 HDP CHAINS / 37 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....6.....9....5.9..7..4......3..65..7......2..1...89..6......3..2......1..4 | initial |
| 98.7.....6.....9....5.9..7..4......3..65..7......2..1...89..6......3..2......1..4 | autosolve |
| 981753246673412985425698371842179563136584792759326418218945637564837129397261854 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) H7: 3,5 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G4,I5: 2.. / G4 = 2 => 2 pairs (_) / I5 = 2 => 2 pairs (_) F7,D9: 2.. / F7 = 2 => 2 pairs (_) / D9 = 2 => 1 pairs (_) H5,G6: 4.. / H5 = 4 => 3 pairs (_) / G6 = 4 => 2 pairs (_) H4,I6: 6.. / H4 = 6 => 2 pairs (_) / I6 = 6 => 1 pairs (_) B8,B9: 6.. / B8 = 6 => 2 pairs (_) / B9 = 6 => 2 pairs (_) H1,H4: 6.. / H1 = 6 => 1 pairs (_) / H4 = 6 => 2 pairs (_) B2,C2: 7.. / B2 = 7 => 1 pairs (_) / C2 = 7 => 2 pairs (_) I7,I8: 7.. / I7 = 7 => 2 pairs (_) / I8 = 7 => 5 pairs (_) I8,H9: 9.. / I8 = 9 => 5 pairs (_) / H9 = 9 => 2 pairs (_) * DURATION: 0:00:04.891530 START: 11:12:59.311875 END: 11:13:04.203405 2020-12-01 * CP COUNT: (9) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:19.745325 START: 11:13:08.559285 END: 11:13:28.304610 2020-12-01 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00009997-22ky5-base-pr-002.dot * REASONING * PRF # H9: 3,5 # A4: 1,7,8 => SOL * STA # H9: 3,5 + A4: 1,7,8 * CNT 1 HDP CHAINS / 37 HYP OPENED
Header Info
9997;22ky5;GP;22;11.30;11.30;9.90
Solution
position: 981753246673412985425698371842179563136584792759326418218945637564837129397261854 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 # G9: 3,5 => UNS * INC # H9: 3,5 => UNS * INC # A7: 3,5 => UNS * INC # B7: 3,5 => UNS * INC # H1: 3,5 => UNS * INC # H2: 3,5 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # G9: 3,5 => UNS * INC # H9: 3,5 => UNS * INC # A7: 3,5 => UNS * INC # B7: 3,5 => UNS * INC # H1: 3,5 => UNS * INC # H2: 3,5 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # G9: 3,5 => UNS * INC # H9: 3,5 => UNS * INC # A7: 3,5 => UNS * INC # B7: 3,5 => UNS * INC # H1: 3,5 => UNS * INC # H2: 3,5 => UNS * INC # G9: 3,5 # A7: 3,5 => UNS * INC # G9: 3,5 # B7: 3,5 => UNS * INC # G9: 3,5 # H1: 3,5 => UNS * INC # G9: 3,5 # H2: 3,5 => UNS * INC # G9: 3,5 # I8: 1,7 => UNS * INC # G9: 3,5 # I8: 8,9 => UNS * INC # G9: 3,5 # A7: 1,7 => UNS * INC # G9: 3,5 # B7: 1,7 => UNS * INC # G9: 3,5 # I8: 1,8 => UNS * INC # G9: 3,5 # I8: 7,9 => UNS * INC # G9: 3,5 # G3: 1,8 => UNS * INC # G9: 3,5 # G3: 2,3,4 => UNS * INC # G9: 3,5 # A9: 3,5 => UNS * INC # G9: 3,5 # B9: 3,5 => UNS * INC # G9: 3,5 # G1: 3,5 => UNS * INC # G9: 3,5 # G1: 1,2,4 => UNS * INC # G9: 3,5 # I8: 8,9 => UNS * INC # G9: 3,5 # I8: 1,7 => UNS * INC # G9: 3,5 # H4: 8,9 => UNS * INC # G9: 3,5 # H5: 8,9 => UNS * INC # G9: 3,5 => UNS * INC # H9: 3,5 # E1: 4,6 => UNS * INC # H9: 3,5 # F1: 4,6 => UNS * INC # H9: 3,5 # D2: 4,8 => UNS * INC # H9: 3,5 # E2: 4,8 => UNS * INC # H9: 3,5 # F2: 4,8 => UNS * INC # H9: 3,5 # H5: 4,8 => UNS * INC # H9: 3,5 # H5: 9 => UNS * INC # H9: 3,5 # A4: 2,5 => UNS * PRF # H9: 3,5 # A4: 1,7,8 => SOL * STA # H9: 3,5 + A4: 1,7,8 * CNT 36 HDP CHAINS / 37 HYP OPENED