Analysis of xx-ph-00038348-12_07-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6.....8.........75.9.6..7......4..3......2..1.7.8..5....2.1.........3.4. initial
Autosolve
position: 98.7.....6.7...8.........75.9.6..7......4..3......2..1.7.8..5....2.1.........3.4. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for H7,G9: 1..:
* DIS # H7: 1 # G1: 2,6 => CTR => G1: 1,3,4 * DIS # H7: 1 + G1: 1,3,4 # I2: 2,9 => CTR => I2: 3,4 * DIS # H7: 1 + G1: 1,3,4 + I2: 3,4 # G3: 2,9 => CTR => G3: 1,3,4,6 * CNT 3 HDP CHAINS / 43 HYP OPENED
List of important HDP chains detected for C7,C9: 9..:
* DIS # C7: 9 # E9: 2,6 => CTR => E9: 5,7,9 * DIS # C7: 9 + E9: 5,7,9 # F8: 4,6 => CTR => F8: 5,7,9 * CNT 2 HDP CHAINS / 24 HYP OPENED
List of important HDP chains detected for I4,G6: 4..:
* PRF # I4: 4 # G8: 6,9 => SOL * STA # I4: 4 + G8: 6,9 * CNT 1 HDP CHAINS / 6 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
| 98.7.....6.....8.........75.9.6..7......4..3......2..1.7.8..5....2.1.........3.4. | initial |
| 98.7.....6.7...8.........75.9.6..7......4..3......2..1.7.8..5....2.1.........3.4. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H7,G9: 1.. / H7 = 1 => 3 pairs (_) / G9 = 1 => 2 pairs (_) I4,G6: 4.. / I4 = 4 => 1 pairs (_) / G6 = 4 => 1 pairs (_) C1,B2: 5.. / C1 = 5 => 0 pairs (_) / B2 = 5 => 1 pairs (_) H4,H6: 5.. / H4 = 5 => 2 pairs (_) / H6 = 5 => 2 pairs (_) A5,A6: 7.. / A5 = 7 => 0 pairs (_) / A6 = 7 => 0 pairs (_) F5,E6: 7.. / F5 = 7 => 0 pairs (_) / E6 = 7 => 0 pairs (_) F8,E9: 7.. / F8 = 7 => 0 pairs (_) / E9 = 7 => 0 pairs (_) I8,I9: 7.. / I8 = 7 => 0 pairs (_) / I9 = 7 => 0 pairs (_) A5,F5: 7.. / A5 = 7 => 0 pairs (_) / F5 = 7 => 0 pairs (_) A6,E6: 7.. / A6 = 7 => 0 pairs (_) / E6 = 7 => 0 pairs (_) F8,I8: 7.. / F8 = 7 => 0 pairs (_) / I8 = 7 => 0 pairs (_) E9,I9: 7.. / E9 = 7 => 0 pairs (_) / I9 = 7 => 0 pairs (_) E6,E9: 7.. / E6 = 7 => 0 pairs (_) / E9 = 7 => 0 pairs (_) F5,F8: 7.. / F5 = 7 => 0 pairs (_) / F8 = 7 => 0 pairs (_) E3,F3: 8.. / E3 = 8 => 1 pairs (_) / F3 = 8 => 1 pairs (_) C7,C9: 9.. / C7 = 9 => 2 pairs (_) / C9 = 9 => 1 pairs (_) * DURATION: 0:00:09.649909 START: 06:43:20.488572 END: 06:43:30.138481 2020-12-17 * CP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H7,G9: 1.. / H7 = 1 ==> 4 pairs (_) / G9 = 1 ==> 2 pairs (_) H4,H6: 5.. / H4 = 5 ==> 2 pairs (_) / H6 = 5 ==> 2 pairs (_) C7,C9: 9.. / C7 = 9 ==> 4 pairs (_) / C9 = 9 ==> 1 pairs (_) E3,F3: 8.. / E3 = 8 ==> 1 pairs (_) / F3 = 8 ==> 1 pairs (_) I4,G6: 4.. / I4 = 4 ==> 0 pairs (*) / G6 = 4 => 0 pairs (X) * DURATION: 0:00:59.471674 START: 06:43:30.139094 END: 06:44:29.610768 2020-12-17 * REASONING H7,G9: 1.. * DIS # H7: 1 # G1: 2,6 => CTR => G1: 1,3,4 * DIS # H7: 1 + G1: 1,3,4 # I2: 2,9 => CTR => I2: 3,4 * DIS # H7: 1 + G1: 1,3,4 + I2: 3,4 # G3: 2,9 => CTR => G3: 1,3,4,6 * CNT 3 HDP CHAINS / 43 HYP OPENED * REASONING C7,C9: 9.. * DIS # C7: 9 # E9: 2,6 => CTR => E9: 5,7,9 * DIS # C7: 9 + E9: 5,7,9 # F8: 4,6 => CTR => F8: 5,7,9 * CNT 2 HDP CHAINS / 24 HYP OPENED * REASONING I4,G6: 4.. * PRF # I4: 4 # G8: 6,9 => SOL * STA # I4: 4 + G8: 6,9 * CNT 1 HDP CHAINS / 6 HYP OPENED * DCP COUNT: (5) * SOLUTION FOUND
Header Info
38348;12_07;GP;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H7,G9: 1..:
* DIS # H7: 1 # G1: 2,6 => CTR => G1: 1,3,4 * INC # H7: 1 + G1: 1,3,4 # I1: 2,6 => UNS * INC # H7: 1 + G1: 1,3,4 # G3: 2,6 => UNS * INC # H7: 1 + G1: 1,3,4 # E1: 2,6 => UNS * INC # H7: 1 + G1: 1,3,4 # E1: 3,5 => UNS * DIS # H7: 1 + G1: 1,3,4 # I2: 2,9 => CTR => I2: 3,4 * DIS # H7: 1 + G1: 1,3,4 + I2: 3,4 # G3: 2,9 => CTR => G3: 1,3,4,6 * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # C7: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # A8: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # B8: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # A3: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # A4: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # A6: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # I1: 2,6 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # I1: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # G1: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # I1: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # G3: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # B2: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # D2: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # C7: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # A8: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # B8: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # A3: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # A4: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # A6: 3,4 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # I8: 6,8 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # I9: 6,8 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # H6: 6,8 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 # H6: 5 => UNS * INC # H7: 1 + G1: 1,3,4 + I2: 3,4 + G3: 1,3,4,6 => UNS * INC # G9: 1 # A8: 5,8 => UNS * INC # G9: 1 # C9: 5,8 => UNS * INC # G9: 1 # A4: 5,8 => UNS * INC # G9: 1 # A5: 5,8 => UNS * INC # G9: 1 # A6: 5,8 => UNS * INC # G9: 1 # B8: 5,6 => UNS * INC # G9: 1 # C9: 5,6 => UNS * INC # G9: 1 # E9: 5,6 => UNS * INC # G9: 1 # E9: 2,7,9 => UNS * INC # G9: 1 # B5: 5,6 => UNS * INC # G9: 1 # B6: 5,6 => UNS * INC # G9: 1 => UNS * CNT 43 HDP CHAINS / 43 HYP OPENED
Full list of HDP chains traversed for H4,H6: 5..:
* INC # H4: 5 # E6: 3,8 => UNS * INC # H4: 5 # E6: 5,7,9 => UNS * INC # H4: 5 # A4: 3,8 => UNS * INC # H4: 5 # C4: 3,8 => UNS * INC # H4: 5 # E3: 3,8 => UNS * INC # H4: 5 # E3: 2,6,9 => UNS * INC # H4: 5 # F5: 1,8 => UNS * INC # H4: 5 # F5: 5,7,9 => UNS * INC # H4: 5 # A4: 1,8 => UNS * INC # H4: 5 # C4: 1,8 => UNS * INC # H4: 5 # F3: 1,8 => UNS * INC # H4: 5 # F3: 4,6,9 => UNS * INC # H4: 5 => UNS * INC # H6: 5 # E6: 3,9 => UNS * INC # H6: 5 # E6: 7,8 => UNS * INC # H6: 5 # D2: 3,9 => UNS * INC # H6: 5 # D3: 3,9 => UNS * INC # H6: 5 # I4: 2,8 => UNS * INC # H6: 5 # I5: 2,8 => UNS * INC # H6: 5 # A4: 2,8 => UNS * INC # H6: 5 # A4: 1,3,4,5 => UNS * INC # H6: 5 => UNS * CNT 22 HDP CHAINS / 22 HYP OPENED
Full list of HDP chains traversed for C7,C9: 9..:
* DIS # C7: 9 # E9: 2,6 => CTR => E9: 5,7,9 * INC # C7: 9 + E9: 5,7,9 # H7: 2,6 => UNS * INC # C7: 9 + E9: 5,7,9 # I7: 2,6 => UNS * INC # C7: 9 + E9: 5,7,9 # E1: 2,6 => UNS * INC # C7: 9 + E9: 5,7,9 # E3: 2,6 => UNS * DIS # C7: 9 + E9: 5,7,9 # F8: 4,6 => CTR => F8: 5,7,9 * INC # C7: 9 + E9: 5,7,9 + F8: 5,7,9 # F1: 4,6 => UNS * INC # C7: 9 + E9: 5,7,9 + F8: 5,7,9 # F3: 4,6 => UNS * INC # C7: 9 + E9: 5,7,9 + F8: 5,7,9 # E1: 2,6 => UNS * INC # C7: 9 + E9: 5,7,9 + F8: 5,7,9 # E3: 2,6 => UNS * INC # C7: 9 + E9: 5,7,9 + F8: 5,7,9 # F1: 4,6 => UNS * INC # C7: 9 + E9: 5,7,9 + F8: 5,7,9 # F3: 4,6 => UNS * INC # C7: 9 + E9: 5,7,9 + F8: 5,7,9 # G9: 1,2 => UNS * INC # C7: 9 + E9: 5,7,9 + F8: 5,7,9 # G9: 6,9 => UNS * INC # C7: 9 + E9: 5,7,9 + F8: 5,7,9 # H1: 1,2 => UNS * INC # C7: 9 + E9: 5,7,9 + F8: 5,7,9 # H2: 1,2 => UNS * INC # C7: 9 + E9: 5,7,9 + F8: 5,7,9 # I1: 2,3 => UNS * INC # C7: 9 + E9: 5,7,9 + F8: 5,7,9 # I2: 2,3 => UNS * INC # C7: 9 + E9: 5,7,9 + F8: 5,7,9 => UNS * INC # C9: 9 # E9: 2,5 => UNS * INC # C9: 9 # E9: 6,7 => UNS * INC # C9: 9 # D2: 2,5 => UNS * INC # C9: 9 # D2: 1,3,4,9 => UNS * INC # C9: 9 => UNS * CNT 24 HDP CHAINS / 24 HYP OPENED
Full list of HDP chains traversed for E3,F3: 8..:
* INC # E3: 8 # D6: 3,5 => UNS * INC # E3: 8 # E6: 3,5 => UNS * INC # E3: 8 # A4: 3,5 => UNS * INC # E3: 8 # C4: 3,5 => UNS * INC # E3: 8 # E1: 3,5 => UNS * INC # E3: 8 # E2: 3,5 => UNS * INC # E3: 8 => UNS * INC # F3: 8 # D5: 1,5 => UNS * INC # F3: 8 # F5: 1,5 => UNS * INC # F3: 8 # A4: 1,5 => UNS * INC # F3: 8 # C4: 1,5 => UNS * INC # F3: 8 # F1: 1,5 => UNS * INC # F3: 8 # F2: 1,5 => UNS * INC # F3: 8 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for I4,G6: 4..:
* INC # I4: 4 # G5: 6,9 => UNS * INC # I4: 4 # I5: 6,9 => UNS * INC # I4: 4 # H6: 6,9 => UNS * INC # I4: 4 # G3: 6,9 => UNS * PRF # I4: 4 # G8: 6,9 => SOL * STA # I4: 4 + G8: 6,9 * CNT 5 HDP CHAINS / 6 HYP OPENED