Analysis of xx-ph-01055428-13_07-base.sdk
Contents
Original Sudoku
level: deep
position: 98.76.5..5....4.8...7...3..2...3.....3.5.62....5..7.....2.7.6.....1..........5..9 initial
Autosolve
position: 98.76.5..5....4.8...7.5.3..2...3.....3.5.62....5..7.....2.7.6.....1........6.5..9 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for D6,E6: 2..:
* DIS # E6: 2 # E5: 4,8 => CTR => E5: 1,9 * DIS # E6: 2 + E5: 1,9 # F3: 1,9 => CTR => F3: 8 * DIS # E6: 2 + E5: 1,9 + F3: 8 # H3: 1,4 => CTR => H3: 6,9 * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 # I3: 6 => CTR => I3: 1,4 * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 # C1: 3 => CTR => C1: 1,4 * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 + C1: 1,4 # H6: 1,4 => CTR => H6: 3,6,9 * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 + C1: 1,4 + H6: 3,6,9 # H7: 1,4 => CTR => H7: 5 * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 + C1: 1,4 + H6: 3,6,9 + H7: 5 # G9: 4,8 => CTR => G9: 1 * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 + C1: 1,4 + H6: 3,6,9 + H7: 5 + G9: 1 # G4: 7,9 => CTR => G4: 4,8 * CNT 9 HDP CHAINS / 31 HYP OPENED
List of important HDP chains detected for D2,D7: 3..:
* DIS # D7: 3 # B3: 1,4 => CTR => B3: 2,6 * PRF # D7: 3 + B3: 2,6 # A3: 6 => SOL * STA # D7: 3 + B3: 2,6 + A3: 6 * CNT 2 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
| 98.76.5..5....4.8...7...3..2...3.....3.5.62....5..7.....2.7.6.....1..........5..9 | initial |
| 98.76.5..5....4.8...7.5.3..2...3.....3.5.62....5..7.....2.7.6.....1........6.5..9 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) B2,B3: 2.. / B2 = 2 => 2 pairs (_) / B3 = 2 => 2 pairs (_) D6,E6: 2.. / D6 = 2 => 2 pairs (_) / E6 = 2 => 4 pairs (_) E9,H9: 2.. / E9 = 2 => 3 pairs (_) / H9 = 2 => 2 pairs (_) C1,C2: 3.. / C1 = 3 => 2 pairs (_) / C2 = 3 => 3 pairs (_) F1,D2: 3.. / F1 = 3 => 3 pairs (_) / D2 = 3 => 2 pairs (_) H6,I6: 3.. / H6 = 3 => 0 pairs (_) / I6 = 3 => 0 pairs (_) C1,F1: 3.. / C1 = 3 => 2 pairs (_) / F1 = 3 => 3 pairs (_) C2,D2: 3.. / C2 = 3 => 3 pairs (_) / D2 = 3 => 2 pairs (_) A9,H9: 3.. / A9 = 3 => 0 pairs (_) / H9 = 3 => 3 pairs (_) D2,D7: 3.. / D2 = 3 => 2 pairs (_) / D7 = 3 => 3 pairs (_) H4,I4: 5.. / H4 = 5 => 0 pairs (_) / I4 = 5 => 0 pairs (_) B7,B8: 5.. / B7 = 5 => 0 pairs (_) / B8 = 5 => 0 pairs (_) G2,I2: 7.. / G2 = 7 => 2 pairs (_) / I2 = 7 => 2 pairs (_) B4,A5: 7.. / B4 = 7 => 1 pairs (_) / A5 = 7 => 0 pairs (_) D3,F3: 8.. / D3 = 8 => 1 pairs (_) / F3 = 8 => 3 pairs (_) G2,H3: 9.. / G2 = 9 => 5 pairs (_) / H3 = 9 => 2 pairs (_) * DURATION: 0:00:11.414004 START: 18:17:55.233098 END: 18:18:06.647102 2021-01-12 * CP COUNT: (16) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) G2,H3: 9.. / G2 = 9 ==> 5 pairs (_) / H3 = 9 ==> 2 pairs (_) D6,E6: 2.. / D6 = 2 ==> 2 pairs (_) / E6 = 2 ==> 14 pairs (_) D2,D7: 3.. / D2 = 3 => 0 pairs (X) / D7 = 3 ==> 0 pairs (*) * DURATION: 0:00:53.983345 START: 18:18:06.647631 END: 18:19:00.630976 2021-01-12 * REASONING D6,E6: 2.. * DIS # E6: 2 # E5: 4,8 => CTR => E5: 1,9 * DIS # E6: 2 + E5: 1,9 # F3: 1,9 => CTR => F3: 8 * DIS # E6: 2 + E5: 1,9 + F3: 8 # H3: 1,4 => CTR => H3: 6,9 * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 # I3: 6 => CTR => I3: 1,4 * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 # C1: 3 => CTR => C1: 1,4 * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 + C1: 1,4 # H6: 1,4 => CTR => H6: 3,6,9 * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 + C1: 1,4 + H6: 3,6,9 # H7: 1,4 => CTR => H7: 5 * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 + C1: 1,4 + H6: 3,6,9 + H7: 5 # G9: 4,8 => CTR => G9: 1 * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 + C1: 1,4 + H6: 3,6,9 + H7: 5 + G9: 1 # G4: 7,9 => CTR => G4: 4,8 * CNT 9 HDP CHAINS / 31 HYP OPENED * REASONING D2,D7: 3.. * DIS # D7: 3 # B3: 1,4 => CTR => B3: 2,6 * PRF # D7: 3 + B3: 2,6 # A3: 6 => SOL * STA # D7: 3 + B3: 2,6 + A3: 6 * CNT 2 HDP CHAINS / 5 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
1055428;13_07;GP;24;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for G2,H3: 9..:
* INC # G2: 9 # C1: 1,4 => UNS * INC # G2: 9 # B3: 1,4 => UNS * INC # G2: 9 # H3: 1,4 => UNS * INC # G2: 9 # I3: 1,4 => UNS * INC # G2: 9 # A5: 1,4 => UNS * INC # G2: 9 # A6: 1,4 => UNS * INC # G2: 9 # A7: 1,4 => UNS * INC # G2: 9 # A9: 1,4 => UNS * INC # G2: 9 # F1: 2,3 => UNS * INC # G2: 9 # F1: 1 => UNS * INC # G2: 9 # F1: 1,2 => UNS * INC # G2: 9 # F1: 3 => UNS * INC # G2: 9 # B2: 1,2 => UNS * INC # G2: 9 # B2: 6 => UNS * INC # G2: 9 # E6: 1,2 => UNS * INC # G2: 9 # E6: 4,8,9 => UNS * INC # G2: 9 # D4: 8,9 => UNS * INC # G2: 9 # D6: 8,9 => UNS * INC # G2: 9 # D7: 8,9 => UNS * INC # G2: 9 # F4: 8,9 => UNS * INC # G2: 9 # F7: 8,9 => UNS * INC # G2: 9 # F8: 8,9 => UNS * INC # G2: 9 => UNS * INC # H3: 9 # F3: 2,8 => UNS * INC # H3: 9 # F3: 1 => UNS * INC # H3: 9 # D6: 2,8 => UNS * INC # H3: 9 # D6: 4,9 => UNS * INC # H3: 9 # I2: 1,7 => UNS * INC # H3: 9 # I2: 2,6 => UNS * INC # H3: 9 # G4: 1,7 => UNS * INC # H3: 9 # G9: 1,7 => UNS * INC # H3: 9 => UNS * CNT 32 HDP CHAINS / 32 HYP OPENED
Full list of HDP chains traversed for D6,E6: 2..:
* INC # E6: 2 # C1: 1,3 => UNS * INC # E6: 2 # C1: 4 => UNS * INC # E6: 2 # F3: 1,9 => UNS * INC # E6: 2 # F3: 8 => UNS * INC # E6: 2 # G2: 1,9 => UNS * INC # E6: 2 # G2: 7 => UNS * INC # E6: 2 # E5: 1,9 => UNS * DIS # E6: 2 # E5: 4,8 => CTR => E5: 1,9 * DIS # E6: 2 + E5: 1,9 # F3: 1,9 => CTR => F3: 8 * INC # E6: 2 + E5: 1,9 + F3: 8 # G2: 1,9 => UNS * INC # E6: 2 + E5: 1,9 + F3: 8 # G2: 7 => UNS * DIS # E6: 2 + E5: 1,9 + F3: 8 # H3: 1,4 => CTR => H3: 6,9 * INC # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 # I3: 1,4 => UNS * INC # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 # I3: 1,4 => UNS * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 # I3: 6 => CTR => I3: 1,4 * INC # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 # C1: 1,4 => UNS * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 # C1: 3 => CTR => C1: 1,4 * INC # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 + C1: 1,4 # H5: 1,4 => UNS * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 + C1: 1,4 # H6: 1,4 => CTR => H6: 3,6,9 * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 + C1: 1,4 + H6: 3,6,9 # H7: 1,4 => CTR => H7: 5 * INC # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 + C1: 1,4 + H6: 3,6,9 + H7: 5 # C9: 4,8 => UNS * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 + C1: 1,4 + H6: 3,6,9 + H7: 5 # G9: 4,8 => CTR => G9: 1 * DIS # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 + C1: 1,4 + H6: 3,6,9 + H7: 5 + G9: 1 # G4: 7,9 => CTR => G4: 4,8 * INC # E6: 2 + E5: 1,9 + F3: 8 + H3: 6,9 + I3: 1,4 + C1: 1,4 + H6: 3,6,9 + H7: 5 + G9: 1 + G4: 4,8 => UNS * INC # D6: 2 # D7: 3,9 => UNS * INC # D6: 2 # D7: 4,8 => UNS * INC # D6: 2 # F3: 8,9 => UNS * INC # D6: 2 # F3: 1,2 => UNS * INC # D6: 2 # D4: 8,9 => UNS * INC # D6: 2 # D7: 8,9 => UNS * INC # D6: 2 => UNS * CNT 31 HDP CHAINS / 31 HYP OPENED
Full list of HDP chains traversed for D2,D7: 3..:
* INC # D7: 3 # A3: 1,4 => UNS * DIS # D7: 3 # B3: 1,4 => CTR => B3: 2,6 * INC # D7: 3 + B3: 2,6 # A3: 1,4 => UNS * PRF # D7: 3 + B3: 2,6 # A3: 6 => SOL * STA # D7: 3 + B3: 2,6 + A3: 6 * CNT 4 HDP CHAINS / 5 HYP OPENED