Analysis of xx-ph-00001583-636-base.sdk
Contents
Original Sudoku
level: very deep
position: 1..4....9..7....3..8....5.1....6...5.4.8..1.......2.6..9.5....8..2.7....8....3... initial
Autosolve
position: 1..4....9..7....3..8....5.1....6...5.4.8..1.......2.6..9.5....8..2.78...8....3... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000009
List of important HDP chains detected for H1,H4: 8..:
* DIS # H4: 8 # H9: 2,7 => CTR => H9: 1,4,5,9 * CNT 1 HDP CHAINS / 15 HYP OPENED
List of important HDP chains detected for E2,G2: 8..:
* DIS # G2: 8 # H9: 2,7 => CTR => H9: 1,4,5,9 * CNT 1 HDP CHAINS / 15 HYP OPENED
List of important HDP chains detected for E1,E2: 8..:
* DIS # E1: 8 # H9: 2,7 => CTR => H9: 1,4,5,9 * CNT 1 HDP CHAINS / 15 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:55.583291
List of important HDP chains detected for F4,F7: 4..:
* DIS # F7: 4 # G4: 3,7 # G2: 2 => CTR => G2: 4,6 * DIS # F7: 4 # G4: 3,7 + G2: 4,6 # I8: 4,6 => CTR => I8: 3 * DIS # F7: 4 # G4: 3,7 + G2: 4,6 + I8: 3 # D3: 2,7 => CTR => D3: 3,9 * DIS # F7: 4 # G4: 3,7 + G2: 4,6 + I8: 3 + D3: 3,9 => CTR => G4: 2,4,8,9 * DIS # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # E2: 1,2 => CTR => E2: 5,8,9 * DIS # F7: 4 + G4: 2,4,8,9 # I5: 3,7 + E2: 5,8,9 # E9: 9 => CTR => E9: 1,2 * PRF # F7: 4 + G4: 2,4,8,9 # I5: 3,7 + E2: 5,8,9 + E9: 1,2 # H7: 7 => SOL * STA # F7: 4 + G4: 2,4,8,9 # I5: 3,7 + E2: 5,8,9 + E9: 1,2 + H7: 7 * CNT 7 HDP CHAINS / 54 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
| 1..4....9..7....3..8....5.1....6...5.4.8..1.......2.6..9.5....8..2.7....8....3... | initial |
| 1..4....9..7....3..8....5.1....6...5.4.8..1.......2.6..9.5....8..2.78...8....3... | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F4,E6: 4.. / F4 = 4 => 1 pairs (_) / E6 = 4 => 2 pairs (_) F4,F7: 4.. / F4 = 4 => 1 pairs (_) / F7 = 4 => 2 pairs (_) H8,H9: 5.. / H8 = 5 => 0 pairs (_) / H9 = 5 => 0 pairs (_) A5,C5: 6.. / A5 = 6 => 0 pairs (_) / C5 = 6 => 1 pairs (_) A7,B9: 7.. / A7 = 7 => 0 pairs (_) / B9 = 7 => 1 pairs (_) E1,E2: 8.. / E1 = 8 => 1 pairs (_) / E2 = 8 => 0 pairs (_) C4,C6: 8.. / C4 = 8 => 0 pairs (_) / C6 = 8 => 0 pairs (_) E2,G2: 8.. / E2 = 8 => 0 pairs (_) / G2 = 8 => 1 pairs (_) C6,G6: 8.. / C6 = 8 => 0 pairs (_) / G6 = 8 => 0 pairs (_) H1,H4: 8.. / H1 = 8 => 0 pairs (_) / H4 = 8 => 1 pairs (_) * DURATION: 0:00:06.294413 START: 17:56:30.421066 END: 17:56:36.715479 2020-11-29 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F4,F7: 4.. / F4 = 4 ==> 1 pairs (_) / F7 = 4 ==> 2 pairs (_) F4,E6: 4.. / F4 = 4 ==> 1 pairs (_) / E6 = 4 ==> 2 pairs (_) H1,H4: 8.. / H1 = 8 ==> 0 pairs (_) / H4 = 8 ==> 1 pairs (_) E2,G2: 8.. / E2 = 8 ==> 0 pairs (_) / G2 = 8 ==> 1 pairs (_) E1,E2: 8.. / E1 = 8 ==> 1 pairs (_) / E2 = 8 ==> 0 pairs (_) A7,B9: 7.. / A7 = 7 ==> 0 pairs (_) / B9 = 7 ==> 1 pairs (_) A5,C5: 6.. / A5 = 6 ==> 0 pairs (_) / C5 = 6 ==> 1 pairs (_) C6,G6: 8.. / C6 = 8 ==> 0 pairs (_) / G6 = 8 ==> 0 pairs (_) C4,C6: 8.. / C4 = 8 ==> 0 pairs (_) / C6 = 8 ==> 0 pairs (_) H8,H9: 5.. / H8 = 5 ==> 0 pairs (_) / H9 = 5 ==> 0 pairs (_) * DURATION: 0:00:59.705821 START: 17:56:36.716164 END: 17:57:36.421985 2020-11-29 * REASONING H1,H4: 8.. * DIS # H4: 8 # H9: 2,7 => CTR => H9: 1,4,5,9 * CNT 1 HDP CHAINS / 15 HYP OPENED * REASONING E2,G2: 8.. * DIS # G2: 8 # H9: 2,7 => CTR => H9: 1,4,5,9 * CNT 1 HDP CHAINS / 15 HYP OPENED * REASONING E1,E2: 8.. * DIS # E1: 8 # H9: 2,7 => CTR => H9: 1,4,5,9 * CNT 1 HDP CHAINS / 15 HYP OPENED * DCP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) F4,F7: 4.. / F4 = 4 => 0 pairs (X) / F7 = 4 ==> 0 pairs (*) * DURATION: 0:00:55.581547 START: 17:57:36.551530 END: 17:58:32.133077 2020-11-29 * REASONING F4,F7: 4.. * DIS # F7: 4 # G4: 3,7 # G2: 2 => CTR => G2: 4,6 * DIS # F7: 4 # G4: 3,7 + G2: 4,6 # I8: 4,6 => CTR => I8: 3 * DIS # F7: 4 # G4: 3,7 + G2: 4,6 + I8: 3 # D3: 2,7 => CTR => D3: 3,9 * DIS # F7: 4 # G4: 3,7 + G2: 4,6 + I8: 3 + D3: 3,9 => CTR => G4: 2,4,8,9 * DIS # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # E2: 1,2 => CTR => E2: 5,8,9 * DIS # F7: 4 + G4: 2,4,8,9 # I5: 3,7 + E2: 5,8,9 # E9: 9 => CTR => E9: 1,2 * PRF # F7: 4 + G4: 2,4,8,9 # I5: 3,7 + E2: 5,8,9 + E9: 1,2 # H7: 7 => SOL * STA # F7: 4 + G4: 2,4,8,9 # I5: 3,7 + E2: 5,8,9 + E9: 1,2 + H7: 7 * CNT 7 HDP CHAINS / 54 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
1583;636;elev;22;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F4,F7: 4..:
* INC # F7: 4 # G4: 3,7 => UNS * INC # F7: 4 # I5: 3,7 => UNS * INC # F7: 4 # G6: 3,7 => UNS * INC # F7: 4 # A6: 3,7 => UNS * INC # F7: 4 # B6: 3,7 => UNS * INC # F7: 4 # D6: 3,7 => UNS * INC # F7: 4 # D9: 1,2 => UNS * INC # F7: 4 # E9: 1,2 => UNS * INC # F7: 4 # H7: 1,2 => UNS * INC # F7: 4 # H7: 7 => UNS * INC # F7: 4 # E2: 1,2 => UNS * INC # F7: 4 # E2: 5,8,9 => UNS * INC # F7: 4 => UNS * INC # F4: 4 # D8: 1,6 => UNS * INC # F4: 4 # D9: 1,6 => UNS * INC # F4: 4 # C7: 1,6 => UNS * INC # F4: 4 # C7: 3,4 => UNS * INC # F4: 4 # F2: 1,6 => UNS * INC # F4: 4 # F2: 5,9 => UNS * INC # F4: 4 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for F4,E6: 4..:
* INC # E6: 4 # G4: 3,7 => UNS * INC # E6: 4 # I5: 3,7 => UNS * INC # E6: 4 # G6: 3,7 => UNS * INC # E6: 4 # A6: 3,7 => UNS * INC # E6: 4 # B6: 3,7 => UNS * INC # E6: 4 # D6: 3,7 => UNS * INC # E6: 4 # D9: 1,2 => UNS * INC # E6: 4 # E9: 1,2 => UNS * INC # E6: 4 # H7: 1,2 => UNS * INC # E6: 4 # H7: 7 => UNS * INC # E6: 4 # E2: 1,2 => UNS * INC # E6: 4 # E2: 5,8,9 => UNS * INC # E6: 4 => UNS * INC # F4: 4 # D8: 1,6 => UNS * INC # F4: 4 # D9: 1,6 => UNS * INC # F4: 4 # C7: 1,6 => UNS * INC # F4: 4 # C7: 3,4 => UNS * INC # F4: 4 # F2: 1,6 => UNS * INC # F4: 4 # F2: 5,9 => UNS * INC # F4: 4 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for H1,H4: 8..:
* INC # H4: 8 # G1: 2,7 => UNS * INC # H4: 8 # H3: 2,7 => UNS * INC # H4: 8 # H5: 2,7 => UNS * INC # H4: 8 # H7: 2,7 => UNS * DIS # H4: 8 # H9: 2,7 => CTR => H9: 1,4,5,9 * INC # H4: 8 + H9: 1,4,5,9 # G1: 2,7 => UNS * INC # H4: 8 + H9: 1,4,5,9 # H3: 2,7 => UNS * INC # H4: 8 + H9: 1,4,5,9 # H5: 2,7 => UNS * INC # H4: 8 + H9: 1,4,5,9 # H7: 2,7 => UNS * INC # H4: 8 + H9: 1,4,5,9 # G1: 2,7 => UNS * INC # H4: 8 + H9: 1,4,5,9 # H3: 2,7 => UNS * INC # H4: 8 + H9: 1,4,5,9 # H5: 2,7 => UNS * INC # H4: 8 + H9: 1,4,5,9 # H7: 2,7 => UNS * INC # H4: 8 + H9: 1,4,5,9 => UNS * INC # H1: 8 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for E2,G2: 8..:
* INC # G2: 8 # G1: 2,7 => UNS * INC # G2: 8 # H3: 2,7 => UNS * INC # G2: 8 # H5: 2,7 => UNS * INC # G2: 8 # H7: 2,7 => UNS * DIS # G2: 8 # H9: 2,7 => CTR => H9: 1,4,5,9 * INC # G2: 8 + H9: 1,4,5,9 # G1: 2,7 => UNS * INC # G2: 8 + H9: 1,4,5,9 # H3: 2,7 => UNS * INC # G2: 8 + H9: 1,4,5,9 # H5: 2,7 => UNS * INC # G2: 8 + H9: 1,4,5,9 # H7: 2,7 => UNS * INC # G2: 8 + H9: 1,4,5,9 # G1: 2,7 => UNS * INC # G2: 8 + H9: 1,4,5,9 # H3: 2,7 => UNS * INC # G2: 8 + H9: 1,4,5,9 # H5: 2,7 => UNS * INC # G2: 8 + H9: 1,4,5,9 # H7: 2,7 => UNS * INC # G2: 8 + H9: 1,4,5,9 => UNS * INC # E2: 8 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for E1,E2: 8..:
* INC # E1: 8 # G1: 2,7 => UNS * INC # E1: 8 # H3: 2,7 => UNS * INC # E1: 8 # H5: 2,7 => UNS * INC # E1: 8 # H7: 2,7 => UNS * DIS # E1: 8 # H9: 2,7 => CTR => H9: 1,4,5,9 * INC # E1: 8 + H9: 1,4,5,9 # G1: 2,7 => UNS * INC # E1: 8 + H9: 1,4,5,9 # H3: 2,7 => UNS * INC # E1: 8 + H9: 1,4,5,9 # H5: 2,7 => UNS * INC # E1: 8 + H9: 1,4,5,9 # H7: 2,7 => UNS * INC # E1: 8 + H9: 1,4,5,9 # G1: 2,7 => UNS * INC # E1: 8 + H9: 1,4,5,9 # H3: 2,7 => UNS * INC # E1: 8 + H9: 1,4,5,9 # H5: 2,7 => UNS * INC # E1: 8 + H9: 1,4,5,9 # H7: 2,7 => UNS * INC # E1: 8 + H9: 1,4,5,9 => UNS * INC # E2: 8 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for A7,B9: 7..:
* INC # B9: 7 # G4: 2,9 => UNS * INC # B9: 7 # H4: 2,9 => UNS * INC # B9: 7 # A5: 2,9 => UNS * INC # B9: 7 # A5: 3,5,6,7 => UNS * INC # B9: 7 # H9: 2,9 => UNS * INC # B9: 7 # H9: 1,4,5 => UNS * INC # B9: 7 => UNS * INC # A7: 7 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for A5,C5: 6..:
* INC # C5: 6 # B1: 3,5 => UNS * INC # C5: 6 # B1: 2,6 => UNS * INC # C5: 6 # E1: 3,5 => UNS * INC # C5: 6 # E1: 2,8 => UNS * INC # C5: 6 # C6: 3,5 => UNS * INC # C5: 6 # C6: 1,8,9 => UNS * INC # C5: 6 => UNS * INC # A5: 6 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for C6,G6: 8..:
* INC # C6: 8 => UNS * INC # G6: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for C4,C6: 8..:
* INC # C4: 8 => UNS * INC # C6: 8 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for H8,H9: 5..:
* INC # H8: 5 => UNS * INC # H9: 5 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for F4,F7: 4..:
* INC # F7: 4 # G4: 3,7 => UNS * INC # F7: 4 # I5: 3,7 => UNS * INC # F7: 4 # G6: 3,7 => UNS * INC # F7: 4 # A6: 3,7 => UNS * INC # F7: 4 # B6: 3,7 => UNS * INC # F7: 4 # D6: 3,7 => UNS * INC # F7: 4 # D9: 1,2 => UNS * INC # F7: 4 # E9: 1,2 => UNS * INC # F7: 4 # H7: 1,2 => UNS * INC # F7: 4 # H7: 7 => UNS * INC # F7: 4 # E2: 1,2 => UNS * INC # F7: 4 # E2: 5,8,9 => UNS * INC # F7: 4 # G4: 3,7 # G2: 4,6 => UNS * DIS # F7: 4 # G4: 3,7 # G2: 2 => CTR => G2: 4,6 * DIS # F7: 4 # G4: 3,7 + G2: 4,6 # I8: 4,6 => CTR => I8: 3 * DIS # F7: 4 # G4: 3,7 + G2: 4,6 + I8: 3 # D3: 2,7 => CTR => D3: 3,9 * DIS # F7: 4 # G4: 3,7 + G2: 4,6 + I8: 3 + D3: 3,9 => CTR => G4: 2,4,8,9 * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 => UNS * INC # F7: 4 + G4: 2,4,8,9 # G6: 3,7 => UNS * INC # F7: 4 + G4: 2,4,8,9 # A6: 3,7 => UNS * INC # F7: 4 + G4: 2,4,8,9 # B6: 3,7 => UNS * INC # F7: 4 + G4: 2,4,8,9 # D6: 3,7 => UNS * INC # F7: 4 + G4: 2,4,8,9 # D9: 1,2 => UNS * INC # F7: 4 + G4: 2,4,8,9 # E9: 1,2 => UNS * INC # F7: 4 + G4: 2,4,8,9 # H7: 1,2 => UNS * INC # F7: 4 + G4: 2,4,8,9 # H7: 7 => UNS * INC # F7: 4 + G4: 2,4,8,9 # E2: 1,2 => UNS * INC # F7: 4 + G4: 2,4,8,9 # E2: 5,8,9 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # G4: 2,9 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # H4: 2,9 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # A5: 2,9 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # A5: 3,6,7 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # H9: 2,9 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # H9: 1,4,5,7 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # A5: 3,7 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # A5: 2,6,9 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # G4: 8,9 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # H4: 8,9 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # C6: 8,9 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # C6: 1,3,5 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # A6: 3,7 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # B6: 3,7 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # D6: 3,7 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # D9: 1,2 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # E9: 1,2 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # H7: 1,2 => UNS * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # H7: 7 => UNS * DIS # F7: 4 + G4: 2,4,8,9 # I5: 3,7 # E2: 1,2 => CTR => E2: 5,8,9 * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 + E2: 5,8,9 # E9: 1,2 => UNS * DIS # F7: 4 + G4: 2,4,8,9 # I5: 3,7 + E2: 5,8,9 # E9: 9 => CTR => E9: 1,2 * INC # F7: 4 + G4: 2,4,8,9 # I5: 3,7 + E2: 5,8,9 + E9: 1,2 # H7: 1,2 => UNS * PRF # F7: 4 + G4: 2,4,8,9 # I5: 3,7 + E2: 5,8,9 + E9: 1,2 # H7: 7 => SOL * STA # F7: 4 + G4: 2,4,8,9 # I5: 3,7 + E2: 5,8,9 + E9: 1,2 + H7: 7 * CNT 52 HDP CHAINS / 54 HYP OPENED