Analysis of xx-ph-00012398-kz0-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....76....9....5......4...5..3...68..7.......2..1..95..8......18.2......3..4 initial
Autosolve
position: 98.7.....76....9....5......4...5..3...68..7.......2..1..95..8......18.2......3..4 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:23.673341
The following important HDP chains were detected:
* DIS # I4: 2,6 # A5: 3,5 => CTR => A5: 1,2 * DIS # I4: 2,6 + A5: 1,2 # B5: 3,5 => CTR => B5: 1,2 * DIS # I4: 2,6 + A5: 1,2 + B5: 1,2 # A8: 3,5 => CTR => A8: 6 * DIS # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 # C8: 4 => CTR => C8: 3,7 * DIS # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 + C8: 3,7 # B6: 9 => CTR => B6: 3,7 * DIS # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 + C8: 3,7 + B6: 3,7 # G1: 2,6 => CTR => G1: 1,3,5 * PRF # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 + C8: 3,7 + B6: 3,7 + G1: 1,3,5 # G3: 2,6 => SOL * STA # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 + C8: 3,7 + B6: 3,7 + G1: 1,3,5 + G3: 2,6 * CNT 7 HDP CHAINS / 19 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....76....9....5......4...5..3...68..7.......2..1..95..8......18.2......3..4 | initial |
| 98.7.....76....9....5......4...5..3...68..7.......2..1..95..8......18.2......3..4 | autosolve |
| 982765143764381952135249678498157236216834795573692481349526817657418329821973564 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) G4: 2,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F1,F2: 5.. / F1 = 5 => 2 pairs (_) / F2 = 5 => 1 pairs (_) H3,I3: 7.. / H3 = 7 => 2 pairs (_) / I3 = 7 => 2 pairs (_) F4,E6: 7.. / F4 = 7 => 2 pairs (_) / E6 = 7 => 7 pairs (_) F4,F7: 7.. / F4 = 7 => 2 pairs (_) / F7 = 7 => 7 pairs (_) E2,E3: 8.. / E2 = 8 => 3 pairs (_) / E3 = 8 => 1 pairs (_) I4,H6: 8.. / I4 = 8 => 1 pairs (_) / H6 = 8 => 3 pairs (_) A9,C9: 8.. / A9 = 8 => 2 pairs (_) / C9 = 8 => 2 pairs (_) C4,I4: 8.. / C4 = 8 => 3 pairs (_) / I4 = 8 => 1 pairs (_) A6,A9: 8.. / A6 = 8 => 2 pairs (_) / A9 = 8 => 2 pairs (_) I8,H9: 9.. / I8 = 9 => 3 pairs (_) / H9 = 9 => 4 pairs (_) D8,I8: 9.. / D8 = 9 => 4 pairs (_) / I8 = 9 => 3 pairs (_) * DURATION: 0:00:06.505406 START: 07:49:48.637597 END: 07:49:55.143003 2020-12-02 * CP COUNT: (11) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:23.556466 START: 07:49:58.334799 END: 07:50:21.891265 2020-12-02 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00012398-kz0-base-pr-002.dot * REASONING * DIS # I4: 2,6 # A5: 3,5 => CTR => A5: 1,2 * DIS # I4: 2,6 + A5: 1,2 # B5: 3,5 => CTR => B5: 1,2 * DIS # I4: 2,6 + A5: 1,2 + B5: 1,2 # A8: 3,5 => CTR => A8: 6 * DIS # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 # C8: 4 => CTR => C8: 3,7 * DIS # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 + C8: 3,7 # B6: 9 => CTR => B6: 3,7 * DIS # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 + C8: 3,7 + B6: 3,7 # G1: 2,6 => CTR => G1: 1,3,5 * PRF # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 + C8: 3,7 + B6: 3,7 + G1: 1,3,5 # G3: 2,6 => SOL * STA # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 + C8: 3,7 + B6: 3,7 + G1: 1,3,5 + G3: 2,6 * CNT 7 HDP CHAINS / 19 HYP OPENED
Header Info
12398;kz0;GP;23;11.30;11.30;10.90
Solution
position: 982765143764381952135249678498157236216834795573692481349526817657418329821973564 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 # I4: 2,6 => UNS * INC # I4: 8,9 => UNS * INC # G1: 2,6 => UNS * INC # G3: 2,6 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # I4: 2,6 => UNS * INC # I4: 8,9 => UNS * INC # G1: 2,6 => UNS * INC # G3: 2,6 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # I4: 2,6 => UNS * INC # I4: 8,9 => UNS * INC # G1: 2,6 => UNS * INC # G3: 2,6 => UNS * DIS # I4: 2,6 # A5: 3,5 => CTR => A5: 1,2 * DIS # I4: 2,6 + A5: 1,2 # B5: 3,5 => CTR => B5: 1,2 * INC # I4: 2,6 + A5: 1,2 + B5: 1,2 # B6: 3,5 => UNS * INC # I4: 2,6 + A5: 1,2 + B5: 1,2 # B6: 3,5 => UNS * INC # I4: 2,6 + A5: 1,2 + B5: 1,2 # B6: 7,9 => UNS * DIS # I4: 2,6 + A5: 1,2 + B5: 1,2 # A8: 3,5 => CTR => A8: 6 * INC # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 # B6: 3,7 => UNS * INC # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 # B6: 9 => UNS * INC # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 # C8: 3,7 => UNS * DIS # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 # C8: 4 => CTR => C8: 3,7 * INC # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 + C8: 3,7 # B6: 3,7 => UNS * DIS # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 + C8: 3,7 # B6: 9 => CTR => B6: 3,7 * DIS # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 + C8: 3,7 + B6: 3,7 # G1: 2,6 => CTR => G1: 1,3,5 * PRF # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 + C8: 3,7 + B6: 3,7 + G1: 1,3,5 # G3: 2,6 => SOL * STA # I4: 2,6 + A5: 1,2 + B5: 1,2 + A8: 6 + C8: 3,7 + B6: 3,7 + G1: 1,3,5 + G3: 2,6 * CNT 18 HDP CHAINS / 19 HYP OPENED