Analysis of xx-ph-00001754-H116-base.sdk
Contents
Original Sudoku
level: deep
position: 1....5....8.4...6...3...7...4.28.........9.8.......4.6..7...1...2.9...4.5.......3 initial
Autosolve
position: 1....5....8.4...6...3...7...4.28........49.8.......4.6..7...1...2.9...4.5.......3 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000011
List of important HDP chains detected for C2,B3: 5..:
* DIS # C2: 5 # B1: 6,9 => CTR => B1: 7 * DIS # C2: 5 + B1: 7 # E2: 2,9 => CTR => E2: 1,3,7 * CNT 2 HDP CHAINS / 66 HYP OPENED
List of important HDP chains detected for I8,H9: 7..:
* PRF # I8: 7 # H1: 2,9 => SOL * STA # I8: 7 + H1: 2,9 * CNT 1 HDP CHAINS / 5 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
| 1....5....8.4...6...3...7...4.28.........9.8.......4.6..7...1...2.9...4.5.......3 | initial |
| 1....5....8.4...6...3...7...4.28........49.8.......4.6..7...1...2.9...4.5.......3 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C1,A3: 4.. / C1 = 4 => 0 pairs (_) / A3 = 4 => 0 pairs (_) I1,I3: 4.. / I1 = 4 => 0 pairs (_) / I3 = 4 => 0 pairs (_) A7,C9: 4.. / A7 = 4 => 0 pairs (_) / C9 = 4 => 0 pairs (_) F7,F9: 4.. / F7 = 4 => 0 pairs (_) / F9 = 4 => 0 pairs (_) C1,I1: 4.. / C1 = 4 => 0 pairs (_) / I1 = 4 => 0 pairs (_) A3,I3: 4.. / A3 = 4 => 0 pairs (_) / I3 = 4 => 0 pairs (_) A7,F7: 4.. / A7 = 4 => 0 pairs (_) / F7 = 4 => 0 pairs (_) C9,F9: 4.. / C9 = 4 => 0 pairs (_) / F9 = 4 => 0 pairs (_) A3,A7: 4.. / A3 = 4 => 0 pairs (_) / A7 = 4 => 0 pairs (_) C1,C9: 4.. / C1 = 4 => 0 pairs (_) / C9 = 4 => 0 pairs (_) C2,B3: 5.. / C2 = 5 => 2 pairs (_) / B3 = 5 => 1 pairs (_) F4,D5: 6.. / F4 = 6 => 0 pairs (_) / D5 = 6 => 1 pairs (_) G8,G9: 6.. / G8 = 6 => 2 pairs (_) / G9 = 6 => 2 pairs (_) B1,A2: 7.. / B1 = 7 => 1 pairs (_) / A2 = 7 => 1 pairs (_) I8,H9: 7.. / I8 = 7 => 1 pairs (_) / H9 = 7 => 1 pairs (_) A6,C6: 8.. / A6 = 8 => 1 pairs (_) / C6 = 8 => 1 pairs (_) * DURATION: 0:00:09.757078 START: 00:54:49.921350 END: 00:54:59.678428 2020-12-01 * CP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G8,G9: 6.. / G8 = 6 ==> 2 pairs (_) / G9 = 6 ==> 2 pairs (_) C2,B3: 5.. / C2 = 5 ==> 3 pairs (_) / B3 = 5 ==> 1 pairs (_) A6,C6: 8.. / A6 = 8 ==> 1 pairs (_) / C6 = 8 ==> 1 pairs (_) I8,H9: 7.. / I8 = 7 ==> 0 pairs (*) / H9 = 7 => 0 pairs (X) * DURATION: 0:00:53.760616 START: 00:54:59.679458 END: 00:55:53.440074 2020-12-01 * REASONING C2,B3: 5.. * DIS # C2: 5 # B1: 6,9 => CTR => B1: 7 * DIS # C2: 5 + B1: 7 # E2: 2,9 => CTR => E2: 1,3,7 * CNT 2 HDP CHAINS / 66 HYP OPENED * REASONING I8,H9: 7.. * PRF # I8: 7 # H1: 2,9 => SOL * STA # I8: 7 + H1: 2,9 * CNT 1 HDP CHAINS / 5 HYP OPENED * DCP COUNT: (4) * SOLUTION FOUND
Header Info
1754;H116;col;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G8,G9: 6..:
* INC # G8: 6 # A7: 3,8 => UNS * INC # G8: 6 # A7: 4,6,9 => UNS * INC # G8: 6 # F8: 3,8 => UNS * INC # G8: 6 # F8: 1,7 => UNS * INC # G8: 6 # A6: 3,8 => UNS * INC # G8: 6 # A6: 2,7,9 => UNS * INC # G8: 6 # C9: 1,8 => UNS * INC # G8: 6 # C9: 4,6,9 => UNS * INC # G8: 6 # F8: 1,8 => UNS * INC # G8: 6 # F8: 3,7 => UNS * INC # G8: 6 # C6: 1,8 => UNS * INC # G8: 6 # C6: 2,5,9 => UNS * INC # G8: 6 => UNS * INC # G9: 6 # C9: 1,9 => UNS * INC # G9: 6 # C9: 4,8 => UNS * INC # G9: 6 # B6: 1,9 => UNS * INC # G9: 6 # B6: 3,5,7 => UNS * INC # G9: 6 # I7: 5,8 => UNS * INC # G9: 6 # I8: 5,8 => UNS * INC # G9: 6 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for C2,B3: 5..:
* DIS # C2: 5 # B1: 6,9 => CTR => B1: 7 * INC # C2: 5 + B1: 7 # C1: 6,9 => UNS * INC # C2: 5 + B1: 7 # A3: 6,9 => UNS * INC # C2: 5 + B1: 7 # E3: 6,9 => UNS * INC # C2: 5 + B1: 7 # E3: 1,2 => UNS * INC # C2: 5 + B1: 7 # B7: 6,9 => UNS * INC # C2: 5 + B1: 7 # B9: 6,9 => UNS * INC # C2: 5 + B1: 7 # H6: 2,3 => UNS * INC # C2: 5 + B1: 7 # H6: 1,7,9 => UNS * INC # C2: 5 + B1: 7 # A5: 2,3 => UNS * INC # C2: 5 + B1: 7 # A5: 6,7 => UNS * INC # C2: 5 + B1: 7 # G1: 2,3 => UNS * INC # C2: 5 + B1: 7 # G2: 2,3 => UNS * INC # C2: 5 + B1: 7 # C1: 2,9 => UNS * INC # C2: 5 + B1: 7 # A3: 2,9 => UNS * DIS # C2: 5 + B1: 7 # E2: 2,9 => CTR => E2: 1,3,7 * INC # C2: 5 + B1: 7 + E2: 1,3,7 # G2: 2,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # I2: 2,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # A6: 2,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # A6: 3,7,8 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # C1: 2,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # A3: 2,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # G2: 2,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # I2: 2,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # A6: 2,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # A6: 3,7,8 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # C1: 6,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # A3: 6,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # E3: 6,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # E3: 1,2 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # B7: 6,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # B9: 6,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # H6: 2,3 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # H6: 1,7,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # A5: 2,3 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # A5: 6,7 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # G1: 2,3 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # G2: 2,3 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # C1: 2,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # A3: 2,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # G2: 2,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # I2: 2,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # A6: 2,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # A6: 3,7,8 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # C1: 6,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # A3: 6,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # E3: 6,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # E3: 1,2 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # B7: 6,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # B9: 6,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # H6: 2,3 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # H6: 1,7,9 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # A5: 2,3 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # A5: 6,7 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # G1: 2,3 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 # G2: 2,3 => UNS * INC # C2: 5 + B1: 7 + E2: 1,3,7 => UNS * INC # B3: 5 # C1: 2,9 => UNS * INC # B3: 5 # A2: 2,9 => UNS * INC # B3: 5 # A3: 2,9 => UNS * INC # B3: 5 # E2: 2,9 => UNS * INC # B3: 5 # G2: 2,9 => UNS * INC # B3: 5 # I2: 2,9 => UNS * INC # B3: 5 # C6: 2,9 => UNS * INC # B3: 5 # C6: 1,5,8 => UNS * INC # B3: 5 => UNS * CNT 66 HDP CHAINS / 66 HYP OPENED
Full list of HDP chains traversed for A6,C6: 8..:
* INC # A6: 8 # A7: 3,6 => UNS * INC # A6: 8 # B7: 3,6 => UNS * INC # A6: 8 # E8: 3,6 => UNS * INC # A6: 8 # F8: 3,6 => UNS * INC # A6: 8 # A4: 3,6 => UNS * INC # A6: 8 # A5: 3,6 => UNS * INC # A6: 8 => UNS * INC # C6: 8 # B9: 1,6 => UNS * INC # C6: 8 # C9: 1,6 => UNS * INC # C6: 8 # E8: 1,6 => UNS * INC # C6: 8 # F8: 1,6 => UNS * INC # C6: 8 # C4: 1,6 => UNS * INC # C6: 8 # C5: 1,6 => UNS * INC # C6: 8 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for I8,H9: 7..:
* INC # I8: 7 # H7: 2,9 => UNS * INC # I8: 7 # I7: 2,9 => UNS * INC # I8: 7 # G9: 2,9 => UNS * PRF # I8: 7 # H1: 2,9 => SOL * STA # I8: 7 + H1: 2,9 * CNT 4 HDP CHAINS / 5 HYP OPENED