Analysis of xx-ph-00021730-KZ1C-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7..6..7......5...4.9.3..5......7..6....8....9.2...3..1..4......9.2..1....1..3. initial
Autosolve
position: 98.7..6..7......5...4.9.3.75......7..6....8....9.2...3..1..4......9.2..1....1..3. autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:25.167646
The following important HDP chains were detected:
* DIS # G2: 2,4 # I5: 2,4 => CTR => I5: 5 * DIS # G2: 2,4 + I5: 5 # I9: 2,4 => CTR => I9: 6,8 * DIS # G2: 2,4 + I5: 5 + I9: 6,8 # I4: 6 => CTR => I4: 2,4 * PRF # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 # G4: 2,9 => SOL * STA # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 + G4: 2,9 * CNT 4 HDP CHAINS / 38 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7..6..7......5...4.9.3..5......7..6....8....9.2...3..1..4......9.2..1....1..3. | initial |
| 98.7..6..7......5...4.9.3.75......7..6....8....9.2...3..1..4......9.2..1....1..3. | autosolve |
| 983745612726183459154296387518639274362471895479528163691354728837962541245817936 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) I1: 2,4 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F1,H1: 1.. / F1 = 1 => 7 pairs (_) / H1 = 1 => 4 pairs (_) D2,D3: 2.. / D2 = 2 => 3 pairs (_) / D3 = 2 => 4 pairs (_) C1,B3: 5.. / C1 = 5 => 5 pairs (_) / B3 = 5 => 2 pairs (_) I5,G6: 5.. / I5 = 5 => 2 pairs (_) / G6 = 5 => 2 pairs (_) C2,A3: 6.. / C2 = 6 => 2 pairs (_) / A3 = 6 => 3 pairs (_) I4,H6: 6.. / I4 = 6 => 2 pairs (_) / H6 = 6 => 2 pairs (_) C5,B6: 7.. / C5 = 7 => 2 pairs (_) / B6 = 7 => 2 pairs (_) B6,F6: 7.. / B6 = 7 => 2 pairs (_) / F6 = 7 => 2 pairs (_) I2,H3: 8.. / I2 = 8 => 4 pairs (_) / H3 = 8 => 2 pairs (_) C4,A6: 8.. / C4 = 8 => 2 pairs (_) / A6 = 8 => 2 pairs (_) G2,I2: 9.. / G2 = 9 => 2 pairs (_) / I2 = 9 => 2 pairs (_) F4,F5: 9.. / F4 = 9 => 1 pairs (_) / F5 = 9 => 1 pairs (_) B7,B9: 9.. / B7 = 9 => 1 pairs (_) / B9 = 9 => 1 pairs (_) H5,H7: 9.. / H5 = 9 => 1 pairs (_) / H7 = 9 => 1 pairs (_) * DURATION: 0:00:07.885472 START: 14:15:05.051858 END: 14:15:12.937330 2020-12-07 * CP COUNT: (14) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:24.978882 START: 14:15:17.581401 END: 14:15:42.560283 2020-12-07 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00021730-KZ1C-base-pr-002.dot * REASONING * DIS # G2: 2,4 # I5: 2,4 => CTR => I5: 5 * DIS # G2: 2,4 + I5: 5 # I9: 2,4 => CTR => I9: 6,8 * DIS # G2: 2,4 + I5: 5 + I9: 6,8 # I4: 6 => CTR => I4: 2,4 * PRF # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 # G4: 2,9 => SOL * STA # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 + G4: 2,9 * CNT 4 HDP CHAINS / 38 HYP OPENED
Header Info
21730;KZ1C;GP;23;11.30;1.20;1.20
Solution
position: 983745612726183459154296387518639274362471895479528163691354728837962541245817936 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 # H1: 2,4 => UNS * INC # G2: 2,4 => UNS * INC # I2: 2,4 => UNS * INC # I4: 2,4 => UNS * INC # I5: 2,4 => UNS * INC # I9: 2,4 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H1: 2,4 => UNS * INC # G2: 2,4 => UNS * INC # I2: 2,4 => UNS * INC # I4: 2,4 => UNS * INC # I5: 2,4 => UNS * INC # I9: 2,4 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # H1: 2,4 => UNS * INC # G2: 2,4 => UNS * INC # I2: 2,4 => UNS * INC # I4: 2,4 => UNS * INC # I5: 2,4 => UNS * INC # I9: 2,4 => UNS * INC # H1: 2,4 # C8: 3,5 => UNS * INC # H1: 2,4 # C8: 6,7,8 => UNS * INC # H1: 2,4 # E5: 3,5 => UNS * INC # H1: 2,4 # E7: 3,5 => UNS * INC # H1: 2,4 # E8: 3,5 => UNS * INC # H1: 2,4 # H5: 2,4 => UNS * INC # H1: 2,4 # H5: 1,9 => UNS * INC # H1: 2,4 # I4: 2,4 => UNS * INC # H1: 2,4 # I5: 2,4 => UNS * INC # H1: 2,4 # I9: 2,4 => UNS * INC # H1: 2,4 # G4: 1,9 => UNS * INC # H1: 2,4 # G4: 2,4 => UNS * INC # H1: 2,4 # I7: 8,9 => UNS * INC # H1: 2,4 # I9: 8,9 => UNS * INC # H1: 2,4 => UNS * INC # G2: 2,4 # E1: 3,5 => UNS * INC # G2: 2,4 # E1: 4 => UNS * INC # G2: 2,4 # C1: 3,5 => UNS * INC # G2: 2,4 # C1: 2 => UNS * INC # G2: 2,4 # F5: 3,5 => UNS * INC # G2: 2,4 # F5: 1,7,9 => UNS * INC # G2: 2,4 # I4: 2,4 => UNS * DIS # G2: 2,4 # I5: 2,4 => CTR => I5: 5 * DIS # G2: 2,4 + I5: 5 # I9: 2,4 => CTR => I9: 6,8 * INC # G2: 2,4 + I5: 5 + I9: 6,8 # I4: 2,4 => UNS * DIS # G2: 2,4 + I5: 5 + I9: 6,8 # I4: 6 => CTR => I4: 2,4 * INC # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 # D2: 2,4 => UNS * INC # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 # D2: 1,3,6,8 => UNS * INC # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 # G4: 2,4 => UNS * INC # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 # G4: 1,9 => UNS * PRF # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 # G4: 2,9 => SOL * STA # G2: 2,4 + I5: 5 + I9: 6,8 + I4: 2,4 + G4: 2,9 * CNT 37 HDP CHAINS / 38 HYP OPENED