Analysis of xx-ph-01116460-13_09-base.sdk
Contents
Original Sudoku
level: deep
position: 98.76....75.4.......3..8...5...793.....5...7.........23......1..7..358.....6....7 initial
Autosolve
position: 98.76....75.4.......3.587..5...793...3.5...7...73....23....7.1..7..358.....6...37 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000005
List of important HDP chains detected for D4,D7: 8..:
* DIS # D4: 8 # G6: 1,4 => CTR => G6: 5,6,9 * DIS # D4: 8 + G6: 5,6,9 # I5: 4,6 => CTR => I5: 1,8,9 * DIS # D4: 8 + G6: 5,6,9 + I5: 1,8,9 # H6: 4,6 => CTR => H6: 5,8,9 * CNT 3 HDP CHAINS / 66 HYP OPENED
List of important HDP chains detected for I1,I7: 5..:
* DIS # I1: 5 # E2: 1,2 => CTR => E2: 9 * PRF # I1: 5 + E2: 9 # H3: 2,4 => SOL * STA # I1: 5 + E2: 9 + H3: 2,4 * CNT 2 HDP CHAINS / 8 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.76....75.4.......3..8...5...793.....5...7.........23......1..7..358.....6....7 | initial |
| 98.76....75.4.......3.587..5...793...3.5...7...73....23....7.1..7..358.....6...37 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F1,F2: 3.. / F1 = 3 => 2 pairs (_) / F2 = 3 => 1 pairs (_) I1,I2: 3.. / I1 = 3 => 1 pairs (_) / I2 = 3 => 2 pairs (_) F1,I1: 3.. / F1 = 3 => 2 pairs (_) / I1 = 3 => 1 pairs (_) F2,I2: 3.. / F2 = 3 => 1 pairs (_) / I2 = 3 => 2 pairs (_) G6,H6: 5.. / G6 = 5 => 0 pairs (_) / H6 = 5 => 1 pairs (_) C7,C9: 5.. / C7 = 5 => 3 pairs (_) / C9 = 5 => 0 pairs (_) C9,G9: 5.. / C9 = 5 => 0 pairs (_) / G9 = 5 => 3 pairs (_) H1,H6: 5.. / H1 = 5 => 0 pairs (_) / H6 = 5 => 1 pairs (_) I1,I7: 5.. / I1 = 5 => 3 pairs (_) / I7 = 5 => 0 pairs (_) F5,F6: 6.. / F5 = 6 => 1 pairs (_) / F6 = 6 => 0 pairs (_) H2,I2: 8.. / H2 = 8 => 1 pairs (_) / I2 = 8 => 1 pairs (_) D4,D7: 8.. / D4 = 8 => 3 pairs (_) / D7 = 8 => 1 pairs (_) E2,D3: 9.. / E2 = 9 => 1 pairs (_) / D3 = 9 => 3 pairs (_) C5,B6: 9.. / C5 = 9 => 2 pairs (_) / B6 = 9 => 0 pairs (_) * DURATION: 0:00:10.076776 START: 09:25:57.021000 END: 09:26:07.097776 2020-09-24 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E2,D3: 9.. / E2 = 9 ==> 1 pairs (_) / D3 = 9 ==> 3 pairs (_) D4,D7: 8.. / D4 = 8 ==> 3 pairs (_) / D7 = 8 ==> 1 pairs (_) I1,I7: 5.. / I1 = 5 ==> 0 pairs (*) / I7 = 5 => 0 pairs (X) * DURATION: 0:00:56.604128 START: 09:26:07.098405 END: 09:27:03.702533 2020-09-24 * REASONING D4,D7: 8.. * DIS # D4: 8 # G6: 1,4 => CTR => G6: 5,6,9 * DIS # D4: 8 + G6: 5,6,9 # I5: 4,6 => CTR => I5: 1,8,9 * DIS # D4: 8 + G6: 5,6,9 + I5: 1,8,9 # H6: 4,6 => CTR => H6: 5,8,9 * CNT 3 HDP CHAINS / 66 HYP OPENED * REASONING I1,I7: 5.. * DIS # I1: 5 # E2: 1,2 => CTR => E2: 9 * PRF # I1: 5 + E2: 9 # H3: 2,4 => SOL * STA # I1: 5 + E2: 9 + H3: 2,4 * CNT 2 HDP CHAINS / 8 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
1116460;13_09;GP;24;11.60;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E2,D3: 9..:
* INC # D3: 9 # F1: 1,2 => UNS * INC # D3: 9 # F2: 1,2 => UNS * INC # D3: 9 # C2: 1,2 => UNS * INC # D3: 9 # G2: 1,2 => UNS * INC # D3: 9 # E5: 1,2 => UNS * INC # D3: 9 # E9: 1,2 => UNS * INC # D3: 9 # E7: 2,8 => UNS * INC # D3: 9 # E9: 2,8 => UNS * INC # D3: 9 # C7: 2,8 => UNS * INC # D3: 9 # C7: 4,5,6,9 => UNS * INC # D3: 9 # D4: 2,8 => UNS * INC # D3: 9 # D4: 1 => UNS * INC # D3: 9 # E9: 1,2 => UNS * INC # D3: 9 # F9: 1,2 => UNS * INC # D3: 9 # A8: 1,2 => UNS * INC # D3: 9 # C8: 1,2 => UNS * INC # D3: 9 # D4: 1,2 => UNS * INC # D3: 9 # D4: 8 => UNS * INC # D3: 9 => UNS * INC # E2: 9 # F1: 1,2 => UNS * INC # E2: 9 # F2: 1,2 => UNS * INC # E2: 9 # A3: 1,2 => UNS * INC # E2: 9 # B3: 1,2 => UNS * INC # E2: 9 # D4: 1,2 => UNS * INC # E2: 9 # D8: 1,2 => UNS * INC # E2: 9 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for D4,D7: 8..:
* INC # D4: 8 # E5: 1,4 => UNS * INC # D4: 8 # F5: 1,4 => UNS * INC # D4: 8 # F6: 1,4 => UNS * INC # D4: 8 # A6: 1,4 => UNS * INC # D4: 8 # B6: 1,4 => UNS * DIS # D4: 8 # G6: 1,4 => CTR => G6: 5,6,9 * INC # D4: 8 + G6: 5,6,9 # E9: 1,4 => UNS * INC # D4: 8 + G6: 5,6,9 # E9: 2,8,9 => UNS * INC # D4: 8 + G6: 5,6,9 # E5: 1,4 => UNS * INC # D4: 8 + G6: 5,6,9 # F5: 1,4 => UNS * INC # D4: 8 + G6: 5,6,9 # F6: 1,4 => UNS * INC # D4: 8 + G6: 5,6,9 # A6: 1,4 => UNS * INC # D4: 8 + G6: 5,6,9 # B6: 1,4 => UNS * INC # D4: 8 + G6: 5,6,9 # E9: 1,4 => UNS * INC # D4: 8 + G6: 5,6,9 # E9: 2,8,9 => UNS * INC # D4: 8 + G6: 5,6,9 # I4: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 # G5: 4,6 => UNS * DIS # D4: 8 + G6: 5,6,9 # I5: 4,6 => CTR => I5: 1,8,9 * DIS # D4: 8 + G6: 5,6,9 + I5: 1,8,9 # H6: 4,6 => CTR => H6: 5,8,9 * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # B4: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # C4: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # H3: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # H8: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # I4: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # G5: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # B4: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # C4: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # H3: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # H8: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # E7: 2,9 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # D8: 2,9 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # E9: 2,9 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # B7: 2,9 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # C7: 2,9 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # G7: 2,9 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # D3: 2,9 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # D3: 1 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # E5: 1,4 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # F5: 1,4 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # F6: 1,4 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # A6: 1,4 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # B6: 1,4 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # E9: 1,4 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # E9: 2,8,9 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # I4: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # G5: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # B4: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # C4: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # H3: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # H8: 4,6 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # E7: 2,9 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # D8: 2,9 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # E9: 2,9 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # B7: 2,9 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # C7: 2,9 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # G7: 2,9 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # D3: 2,9 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # D3: 1 => UNS * INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 => UNS * INC # D7: 8 # E5: 1,2 => UNS * INC # D7: 8 # F5: 1,2 => UNS * INC # D7: 8 # B4: 1,2 => UNS * INC # D7: 8 # C4: 1,2 => UNS * INC # D7: 8 # D3: 1,2 => UNS * INC # D7: 8 # D8: 1,2 => UNS * INC # D7: 8 => UNS * CNT 66 HDP CHAINS / 66 HYP OPENED
Full list of HDP chains traversed for I1,I7: 5..:
* DIS # I1: 5 # E2: 1,2 => CTR => E2: 9 * INC # I1: 5 + E2: 9 # C2: 1,2 => UNS * INC # I1: 5 + E2: 9 # G2: 1,2 => UNS * INC # I1: 5 + E2: 9 # F5: 1,2 => UNS * INC # I1: 5 + E2: 9 # F9: 1,2 => UNS * INC # I1: 5 + E2: 9 # G1: 2,4 => UNS * PRF # I1: 5 + E2: 9 # H3: 2,4 => SOL * STA # I1: 5 + E2: 9 + H3: 2,4 * CNT 7 HDP CHAINS / 8 HYP OPENED