Analysis of xx-ph-00051798-12_10-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7.......7.6.5.......4...7..5..3...2..3..4...3..7..6.7.1...9...2.7.4.......8..1 initial
Autosolve
position: 98.7.......7.6.5.......4...7..5..3...2..3..4...3..7..6.7.1...9...2.7.4.......8..1 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for I3,I5: 7..:
* DIS # I3: 7 # G3: 2,6 => CTR => G3: 1,8,9 * CNT 1 HDP CHAINS / 22 HYP OPENED
List of important HDP chains detected for H3,H9: 7..:
* DIS # H9: 7 # G3: 2,6 => CTR => G3: 1,7,8,9 * CNT 1 HDP CHAINS / 22 HYP OPENED
List of important HDP chains detected for G9,H9: 7..:
* DIS # H9: 7 # G3: 2,6 => CTR => G3: 1,7,8,9 * CNT 1 HDP CHAINS / 22 HYP OPENED
List of important HDP chains detected for G5,I5: 7..:
* DIS # G5: 7 # G3: 2,6 => CTR => G3: 1,8,9 * CNT 1 HDP CHAINS / 22 HYP OPENED
List of important HDP chains detected for D6,D9: 4..:
* DIS # D9: 4 # E3: 2,5 => CTR => E3: 1,8,9 * CNT 1 HDP CHAINS / 22 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:30.949363
List of important HDP chains detected for I5,H6: 5..:
* DIS # I5: 5 # H1: 1,2 # A2: 2 => CTR => A2: 1,4 * DIS # I5: 5 # H1: 1,2 + A2: 1,4 # G6: 1,2 => CTR => G6: 9 * DIS # I5: 5 # H1: 1,2 + A2: 1,4 + G6: 9 => CTR => H1: 3,6 * PRF # I5: 5 + H1: 3,6 # H2: 1,2 # G6: 1,2 => SOL * STA # I5: 5 + H1: 3,6 # H2: 1,2 + G6: 1,2 * CNT 4 HDP CHAINS / 46 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is very deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7.......7.6.5.......4...7..5..3...2..3..4...3..7..6.7.1...9...2.7.4.......8..1 | initial |
| 98.7.......7.6.5.......4...7..5..3...2..3..4...3..7..6.7.1...9...2.7.4.......8..1 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A8,B8: 1.. / A8 = 1 => 1 pairs (_) / B8 = 1 => 1 pairs (_) A2,A3: 2.. / A2 = 2 => 0 pairs (_) / A3 = 2 => 0 pairs (_) I1,I2: 4.. / I1 = 4 => 0 pairs (_) / I2 = 4 => 2 pairs (_) C1,I1: 4.. / C1 = 4 => 2 pairs (_) / I1 = 4 => 0 pairs (_) D6,D9: 4.. / D6 = 4 => 0 pairs (_) / D9 = 4 => 1 pairs (_) I5,H6: 5.. / I5 = 5 => 4 pairs (_) / H6 = 5 => 0 pairs (_) G5,I5: 7.. / G5 = 7 => 1 pairs (_) / I5 = 7 => 0 pairs (_) G9,H9: 7.. / G9 = 7 => 0 pairs (_) / H9 = 7 => 1 pairs (_) H3,H9: 7.. / H3 = 7 => 0 pairs (_) / H9 = 7 => 1 pairs (_) I3,I5: 7.. / I3 = 7 => 1 pairs (_) / I5 = 7 => 0 pairs (_) * DURATION: 0:00:05.672346 START: 08:29:31.525576 END: 08:29:37.197922 2020-12-20 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I5,H6: 5.. / I5 = 5 ==> 4 pairs (_) / H6 = 5 ==> 0 pairs (_) C1,I1: 4.. / C1 = 4 ==> 2 pairs (_) / I1 = 4 ==> 0 pairs (_) I1,I2: 4.. / I1 = 4 ==> 0 pairs (_) / I2 = 4 ==> 2 pairs (_) A8,B8: 1.. / A8 = 1 ==> 1 pairs (_) / B8 = 1 ==> 1 pairs (_) I3,I5: 7.. / I3 = 7 ==> 1 pairs (_) / I5 = 7 ==> 0 pairs (_) H3,H9: 7.. / H3 = 7 ==> 0 pairs (_) / H9 = 7 ==> 1 pairs (_) G9,H9: 7.. / G9 = 7 ==> 0 pairs (_) / H9 = 7 ==> 1 pairs (_) G5,I5: 7.. / G5 = 7 ==> 1 pairs (_) / I5 = 7 ==> 0 pairs (_) D6,D9: 4.. / D6 = 4 ==> 0 pairs (_) / D9 = 4 ==> 1 pairs (_) A2,A3: 2.. / A2 = 2 ==> 0 pairs (_) / A3 = 2 ==> 0 pairs (_) * DURATION: 0:01:13.644874 START: 08:29:37.198464 END: 08:30:50.843338 2020-12-20 * REASONING I3,I5: 7.. * DIS # I3: 7 # G3: 2,6 => CTR => G3: 1,8,9 * CNT 1 HDP CHAINS / 22 HYP OPENED * REASONING H3,H9: 7.. * DIS # H9: 7 # G3: 2,6 => CTR => G3: 1,7,8,9 * CNT 1 HDP CHAINS / 22 HYP OPENED * REASONING G9,H9: 7.. * DIS # H9: 7 # G3: 2,6 => CTR => G3: 1,7,8,9 * CNT 1 HDP CHAINS / 22 HYP OPENED * REASONING G5,I5: 7.. * DIS # G5: 7 # G3: 2,6 => CTR => G3: 1,8,9 * CNT 1 HDP CHAINS / 22 HYP OPENED * REASONING D6,D9: 4.. * DIS # D9: 4 # E3: 2,5 => CTR => E3: 1,8,9 * CNT 1 HDP CHAINS / 22 HYP OPENED * DCP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) I5,H6: 5.. / I5 = 5 ==> 0 pairs (*) / H6 = 5 => 0 pairs (X) * DURATION: 0:00:30.946572 START: 08:30:50.970402 END: 08:31:21.916974 2020-12-20 * REASONING I5,H6: 5.. * DIS # I5: 5 # H1: 1,2 # A2: 2 => CTR => A2: 1,4 * DIS # I5: 5 # H1: 1,2 + A2: 1,4 # G6: 1,2 => CTR => G6: 9 * DIS # I5: 5 # H1: 1,2 + A2: 1,4 + G6: 9 => CTR => H1: 3,6 * PRF # I5: 5 + H1: 3,6 # H2: 1,2 # G6: 1,2 => SOL * STA # I5: 5 + H1: 3,6 # H2: 1,2 + G6: 1,2 * CNT 4 HDP CHAINS / 46 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
51798;12_10;GP;24;11.30;11.30;7.10
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I5,H6: 5..:
* INC # I5: 5 # H1: 1,2 => UNS * INC # I5: 5 # H2: 1,2 => UNS * INC # I5: 5 # G3: 1,2 => UNS * INC # I5: 5 # H3: 1,2 => UNS * INC # I5: 5 # E1: 1,2 => UNS * INC # I5: 5 # F1: 1,2 => UNS * INC # I5: 5 # G6: 1,2 => UNS * INC # I5: 5 # G6: 8,9 => UNS * INC # I5: 5 # I2: 2,4 => UNS * INC # I5: 5 # I2: 8,9 => UNS * INC # I5: 5 # I7: 3,8 => UNS * INC # I5: 5 # I7: 2 => UNS * INC # I5: 5 # A8: 3,8 => UNS * INC # I5: 5 # A8: 1,6 => UNS * INC # I5: 5 # G7: 2,6 => UNS * INC # I5: 5 # G7: 8 => UNS * INC # I5: 5 # D9: 2,6 => UNS * INC # I5: 5 # D9: 3,4,9 => UNS * INC # I5: 5 => UNS * INC # H6: 5 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for C1,I1: 4..:
* INC # C1: 4 # A2: 1,3 => UNS * INC # C1: 4 # A3: 1,3 => UNS * INC # C1: 4 # B3: 1,3 => UNS * INC # C1: 4 # F2: 1,3 => UNS * INC # C1: 4 # H2: 1,3 => UNS * INC # C1: 4 # B8: 1,3 => UNS * INC # C1: 4 # B8: 5,6,9 => UNS * INC # C1: 4 # H1: 2,3 => UNS * INC # C1: 4 # H2: 2,3 => UNS * INC # C1: 4 # H3: 2,3 => UNS * INC # C1: 4 # I3: 2,3 => UNS * INC # C1: 4 # F1: 2,3 => UNS * INC # C1: 4 # F1: 1,5 => UNS * INC # C1: 4 # I7: 2,3 => UNS * INC # C1: 4 # I7: 5,8 => UNS * INC # C1: 4 => UNS * INC # I1: 4 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for I1,I2: 4..:
* INC # I2: 4 # A2: 1,3 => UNS * INC # I2: 4 # A3: 1,3 => UNS * INC # I2: 4 # B3: 1,3 => UNS * INC # I2: 4 # F2: 1,3 => UNS * INC # I2: 4 # H2: 1,3 => UNS * INC # I2: 4 # B8: 1,3 => UNS * INC # I2: 4 # B8: 5,6,9 => UNS * INC # I2: 4 # H1: 2,3 => UNS * INC # I2: 4 # H2: 2,3 => UNS * INC # I2: 4 # H3: 2,3 => UNS * INC # I2: 4 # I3: 2,3 => UNS * INC # I2: 4 # F1: 2,3 => UNS * INC # I2: 4 # F1: 1,5 => UNS * INC # I2: 4 # I7: 2,3 => UNS * INC # I2: 4 # I7: 5,8 => UNS * INC # I2: 4 => UNS * INC # I1: 4 => UNS * CNT 17 HDP CHAINS / 17 HYP OPENED
Full list of HDP chains traversed for A8,B8: 1..:
* INC # A8: 1 # G9: 2,6 => UNS * INC # A8: 1 # H9: 2,6 => UNS * INC # A8: 1 # F7: 2,6 => UNS * INC # A8: 1 # F7: 3,5 => UNS * INC # A8: 1 # G1: 2,6 => UNS * INC # A8: 1 # G3: 2,6 => UNS * INC # A8: 1 => UNS * INC # B8: 1 # A2: 3,4 => UNS * INC # B8: 1 # A2: 1,2 => UNS * INC # B8: 1 # I2: 3,4 => UNS * INC # B8: 1 # I2: 2,8,9 => UNS * INC # B8: 1 # B9: 3,4 => UNS * INC # B8: 1 # B9: 5,6,9 => UNS * INC # B8: 1 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for I3,I5: 7..:
* INC # I3: 7 # G7: 2,6 => UNS * INC # I3: 7 # G7: 8 => UNS * INC # I3: 7 # D9: 2,6 => UNS * INC # I3: 7 # D9: 3,4,9 => UNS * INC # I3: 7 # G1: 2,6 => UNS * DIS # I3: 7 # G3: 2,6 => CTR => G3: 1,8,9 * INC # I3: 7 + G3: 1,8,9 # G1: 2,6 => UNS * INC # I3: 7 + G3: 1,8,9 # G1: 1 => UNS * INC # I3: 7 + G3: 1,8,9 # G7: 2,6 => UNS * INC # I3: 7 + G3: 1,8,9 # G7: 8 => UNS * INC # I3: 7 + G3: 1,8,9 # D9: 2,6 => UNS * INC # I3: 7 + G3: 1,8,9 # D9: 3,4,9 => UNS * INC # I3: 7 + G3: 1,8,9 # G1: 2,6 => UNS * INC # I3: 7 + G3: 1,8,9 # G1: 1 => UNS * INC # I3: 7 + G3: 1,8,9 # G7: 2,6 => UNS * INC # I3: 7 + G3: 1,8,9 # G7: 8 => UNS * INC # I3: 7 + G3: 1,8,9 # D9: 2,6 => UNS * INC # I3: 7 + G3: 1,8,9 # D9: 3,4,9 => UNS * INC # I3: 7 + G3: 1,8,9 # G1: 2,6 => UNS * INC # I3: 7 + G3: 1,8,9 # G1: 1 => UNS * INC # I3: 7 + G3: 1,8,9 => UNS * INC # I5: 7 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for H3,H9: 7..:
* INC # H9: 7 # G7: 2,6 => UNS * INC # H9: 7 # G7: 8 => UNS * INC # H9: 7 # D9: 2,6 => UNS * INC # H9: 7 # D9: 3,4,9 => UNS * INC # H9: 7 # G1: 2,6 => UNS * DIS # H9: 7 # G3: 2,6 => CTR => G3: 1,7,8,9 * INC # H9: 7 + G3: 1,7,8,9 # G1: 2,6 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G1: 1 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G7: 2,6 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G7: 8 => UNS * INC # H9: 7 + G3: 1,7,8,9 # D9: 2,6 => UNS * INC # H9: 7 + G3: 1,7,8,9 # D9: 3,4,9 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G1: 2,6 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G1: 1 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G7: 2,6 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G7: 8 => UNS * INC # H9: 7 + G3: 1,7,8,9 # D9: 2,6 => UNS * INC # H9: 7 + G3: 1,7,8,9 # D9: 3,4,9 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G1: 2,6 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G1: 1 => UNS * INC # H9: 7 + G3: 1,7,8,9 => UNS * INC # H3: 7 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for G9,H9: 7..:
* INC # H9: 7 # G7: 2,6 => UNS * INC # H9: 7 # G7: 8 => UNS * INC # H9: 7 # D9: 2,6 => UNS * INC # H9: 7 # D9: 3,4,9 => UNS * INC # H9: 7 # G1: 2,6 => UNS * DIS # H9: 7 # G3: 2,6 => CTR => G3: 1,7,8,9 * INC # H9: 7 + G3: 1,7,8,9 # G1: 2,6 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G1: 1 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G7: 2,6 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G7: 8 => UNS * INC # H9: 7 + G3: 1,7,8,9 # D9: 2,6 => UNS * INC # H9: 7 + G3: 1,7,8,9 # D9: 3,4,9 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G1: 2,6 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G1: 1 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G7: 2,6 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G7: 8 => UNS * INC # H9: 7 + G3: 1,7,8,9 # D9: 2,6 => UNS * INC # H9: 7 + G3: 1,7,8,9 # D9: 3,4,9 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G1: 2,6 => UNS * INC # H9: 7 + G3: 1,7,8,9 # G1: 1 => UNS * INC # H9: 7 + G3: 1,7,8,9 => UNS * INC # G9: 7 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for G5,I5: 7..:
* INC # G5: 7 # G7: 2,6 => UNS * INC # G5: 7 # G7: 8 => UNS * INC # G5: 7 # D9: 2,6 => UNS * INC # G5: 7 # D9: 3,4,9 => UNS * INC # G5: 7 # G1: 2,6 => UNS * DIS # G5: 7 # G3: 2,6 => CTR => G3: 1,8,9 * INC # G5: 7 + G3: 1,8,9 # G1: 2,6 => UNS * INC # G5: 7 + G3: 1,8,9 # G1: 1 => UNS * INC # G5: 7 + G3: 1,8,9 # G7: 2,6 => UNS * INC # G5: 7 + G3: 1,8,9 # G7: 8 => UNS * INC # G5: 7 + G3: 1,8,9 # D9: 2,6 => UNS * INC # G5: 7 + G3: 1,8,9 # D9: 3,4,9 => UNS * INC # G5: 7 + G3: 1,8,9 # G1: 2,6 => UNS * INC # G5: 7 + G3: 1,8,9 # G1: 1 => UNS * INC # G5: 7 + G3: 1,8,9 # G7: 2,6 => UNS * INC # G5: 7 + G3: 1,8,9 # G7: 8 => UNS * INC # G5: 7 + G3: 1,8,9 # D9: 2,6 => UNS * INC # G5: 7 + G3: 1,8,9 # D9: 3,4,9 => UNS * INC # G5: 7 + G3: 1,8,9 # G1: 2,6 => UNS * INC # G5: 7 + G3: 1,8,9 # G1: 1 => UNS * INC # G5: 7 + G3: 1,8,9 => UNS * INC # I5: 7 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for D6,D9: 4..:
* INC # D9: 4 # F7: 2,5 => UNS * INC # D9: 4 # E9: 2,5 => UNS * INC # D9: 4 # I7: 2,5 => UNS * INC # D9: 4 # I7: 3,8 => UNS * INC # D9: 4 # E1: 2,5 => UNS * DIS # D9: 4 # E3: 2,5 => CTR => E3: 1,8,9 * INC # D9: 4 + E3: 1,8,9 # E1: 2,5 => UNS * INC # D9: 4 + E3: 1,8,9 # E1: 1 => UNS * INC # D9: 4 + E3: 1,8,9 # F7: 2,5 => UNS * INC # D9: 4 + E3: 1,8,9 # E9: 2,5 => UNS * INC # D9: 4 + E3: 1,8,9 # I7: 2,5 => UNS * INC # D9: 4 + E3: 1,8,9 # I7: 3,8 => UNS * INC # D9: 4 + E3: 1,8,9 # E1: 2,5 => UNS * INC # D9: 4 + E3: 1,8,9 # E1: 1 => UNS * INC # D9: 4 + E3: 1,8,9 # F7: 2,5 => UNS * INC # D9: 4 + E3: 1,8,9 # E9: 2,5 => UNS * INC # D9: 4 + E3: 1,8,9 # I7: 2,5 => UNS * INC # D9: 4 + E3: 1,8,9 # I7: 3,8 => UNS * INC # D9: 4 + E3: 1,8,9 # E1: 2,5 => UNS * INC # D9: 4 + E3: 1,8,9 # E1: 1 => UNS * INC # D9: 4 + E3: 1,8,9 => UNS * INC # D6: 4 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for A2,A3: 2..:
* INC # A2: 2 => UNS * INC # A3: 2 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for I5,H6: 5..:
* INC # I5: 5 # H1: 1,2 => UNS * INC # I5: 5 # H2: 1,2 => UNS * INC # I5: 5 # G3: 1,2 => UNS * INC # I5: 5 # H3: 1,2 => UNS * INC # I5: 5 # E1: 1,2 => UNS * INC # I5: 5 # F1: 1,2 => UNS * INC # I5: 5 # G6: 1,2 => UNS * INC # I5: 5 # G6: 8,9 => UNS * INC # I5: 5 # I2: 2,4 => UNS * INC # I5: 5 # I2: 8,9 => UNS * INC # I5: 5 # I7: 3,8 => UNS * INC # I5: 5 # I7: 2 => UNS * INC # I5: 5 # A8: 3,8 => UNS * INC # I5: 5 # A8: 1,6 => UNS * INC # I5: 5 # G7: 2,6 => UNS * INC # I5: 5 # G7: 8 => UNS * INC # I5: 5 # D9: 2,6 => UNS * INC # I5: 5 # D9: 3,4,9 => UNS * INC # I5: 5 # H1: 1,2 # A2: 1,4 => UNS * DIS # I5: 5 # H1: 1,2 # A2: 2 => CTR => A2: 1,4 * DIS # I5: 5 # H1: 1,2 + A2: 1,4 # G6: 1,2 => CTR => G6: 9 * DIS # I5: 5 # H1: 1,2 + A2: 1,4 + G6: 9 => CTR => H1: 3,6 * INC # I5: 5 + H1: 3,6 # H2: 1,2 => UNS * INC # I5: 5 + H1: 3,6 # G3: 1,2 => UNS * INC # I5: 5 + H1: 3,6 # H3: 1,2 => UNS * INC # I5: 5 + H1: 3,6 # E1: 1,2 => UNS * INC # I5: 5 + H1: 3,6 # F1: 1,2 => UNS * INC # I5: 5 + H1: 3,6 # G6: 1,2 => UNS * INC # I5: 5 + H1: 3,6 # G6: 8,9 => UNS * INC # I5: 5 + H1: 3,6 # H3: 3,6 => UNS * INC # I5: 5 + H1: 3,6 # H3: 1,2,8 => UNS * INC # I5: 5 + H1: 3,6 # I2: 2,4 => UNS * INC # I5: 5 + H1: 3,6 # I2: 8,9 => UNS * INC # I5: 5 + H1: 3,6 # I7: 3,8 => UNS * INC # I5: 5 + H1: 3,6 # I7: 2 => UNS * INC # I5: 5 + H1: 3,6 # A8: 3,8 => UNS * INC # I5: 5 + H1: 3,6 # A8: 1,6 => UNS * INC # I5: 5 + H1: 3,6 # G7: 2,6 => UNS * INC # I5: 5 + H1: 3,6 # G7: 8 => UNS * INC # I5: 5 + H1: 3,6 # D9: 2,6 => UNS * INC # I5: 5 + H1: 3,6 # D9: 3,4,9 => UNS * INC # I5: 5 + H1: 3,6 # H2: 1,2 # E1: 1,2 => UNS * INC # I5: 5 + H1: 3,6 # H2: 1,2 # F1: 1,2 => UNS * PRF # I5: 5 + H1: 3,6 # H2: 1,2 # G6: 1,2 => SOL * STA # I5: 5 + H1: 3,6 # H2: 1,2 + G6: 1,2 * CNT 44 HDP CHAINS / 46 HYP OPENED