Analysis of xx-ph-00018879-KZ1C-base.sdk
Contents
Original Sudoku
level: hard
position: 98.7.....6...8......5..68..4....89.....3...2.....7...1.6....5....91...3...4.2...7 initial
Autosolve
position: 98.7.....6...8......5..68..4....89.....3...2.....7...1.6....5....91...3...4.2...7 autosolve
Pair Reduction Variants
Deep Pair Reduction
Time used: 0:00:19.813605
The following important HDP chains were detected:
* PRF # H9: 1,6 # F7: 3,4 => SOL * STA # H9: 1,6 + F7: 3,4 * CNT 1 HDP CHAINS / 20 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
Positions
| 98.7.....6...8......5..68..4....89.....3...2.....7...1.6....5....91...3...4.2...7 | initial |
| 98.7.....6...8......5..68..4....89.....3...2.....7...1.6....5....91...3...4.2...7 | autosolve |
| 981753246642981753375246819423618975718395624596472381167834592259167438834529167 | solved |
Classification
level: hard
Pairing Analysis
-------------------------------------------------- * PAIRS (1) G9: 1,6 -------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I4,G6: 3.. / I4 = 3 => 2 pairs (_) / G6 = 3 => 2 pairs (_) B2,B3: 4.. / B2 = 4 => 1 pairs (_) / B3 = 4 => 2 pairs (_) E8,D9: 6.. / E8 = 6 => 3 pairs (_) / D9 = 6 => 5 pairs (_) H4,G5: 7.. / H4 = 7 => 2 pairs (_) / G5 = 7 => 2 pairs (_) F7,F8: 7.. / F7 = 7 => 2 pairs (_) / F8 = 7 => 2 pairs (_) G2,G5: 7.. / G2 = 7 => 2 pairs (_) / G5 = 7 => 2 pairs (_) I5,H6: 8.. / I5 = 8 => 1 pairs (_) / H6 = 8 => 1 pairs (_) D7,D9: 8.. / D7 = 8 => 1 pairs (_) / D9 = 8 => 4 pairs (_) A8,I8: 8.. / A8 = 8 => 1 pairs (_) / I8 = 8 => 1 pairs (_) B5,B6: 9.. / B5 = 9 => 1 pairs (_) / B6 = 9 => 1 pairs (_) * DURATION: 0:00:06.716520 START: 07:23:29.460351 END: 07:23:36.176871 2020-12-06 * CP COUNT: (10) * INCONCLUSIVE * DEEP PAIR REDUCTION * DURATION: 0:00:19.679434 START: 07:23:39.490679 END: 07:23:59.170113 2020-12-06 * SOLUTION FOUND * SAVE PR GRAPH xx-ph-00018879-KZ1C-base-pr-002.dot * REASONING * PRF # H9: 1,6 # F7: 3,4 => SOL * STA # H9: 1,6 + F7: 3,4 * CNT 1 HDP CHAINS / 20 HYP OPENED
Header Info
18879;KZ1C;GP;23;11.30;11.30;6.60
Solution
position: 981753246642981753375246819423618975718395624596472381167834592259167438834529167 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 # H9: 1,6 => UNS * INC # H9: 8,9 => UNS * INC # G1: 1,6 => UNS * INC # G1: 2,3,4 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A2. Pair Reduction
Full list of HDP chains traversed:
* INC # H9: 1,6 => UNS * INC # H9: 8,9 => UNS * INC # G1: 1,6 => UNS * INC # G1: 2,3,4 => UNS * CNT 4 HDP CHAINS / 4 HYP OPENED
A3. Deep Pair Reduction
Full list of HDP chains traversed:
* INC # H9: 1,6 => UNS * INC # H9: 8,9 => UNS * INC # G1: 1,6 => UNS * INC # G1: 2,3,4 => UNS * INC # H9: 1,6 # E5: 1,5 => UNS * INC # H9: 1,6 # F5: 1,5 => UNS * INC # H9: 1,6 # B4: 1,5 => UNS * INC # H9: 1,6 # B4: 2,3,7 => UNS * INC # H9: 1,6 # E1: 1,5 => UNS * INC # H9: 1,6 # E1: 3,4 => UNS * INC # H9: 1,6 # A9: 3,5 => UNS * INC # H9: 1,6 # A9: 8 => UNS * INC # H9: 1,6 # F9: 3,5 => UNS * INC # H9: 1,6 # F9: 9 => UNS * INC # H9: 1,6 # B4: 3,5 => UNS * INC # H9: 1,6 # B6: 3,5 => UNS * INC # H9: 1,6 # H7: 4,8 => UNS * INC # H9: 1,6 # I7: 4,8 => UNS * PRF # H9: 1,6 # F7: 3,4 => SOL * STA # H9: 1,6 + F7: 3,4 * CNT 19 HDP CHAINS / 20 HYP OPENED