Analysis of xx-ph-01001226-13_07-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..7..5.......4.9....4...7..3..7...2..9..3..57..1....6..7.4..8..1....1..2.. initial
Autosolve
position: 98.7..6..7..5.......4.9..7.4...7..3..7...2..9..3..57..1....6..7.4..8..1....1..2.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:46.629468
List of important HDP chains detected for B6,D6: 9..:
* DIS # D6: 9 # E2: 1,2 # I1: 1,2 => CTR => I1: 3,4,5 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 # C1: 5 => CTR => C1: 1,2 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 # B2: 1,2 => CTR => B2: 3,6 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 # C2: 1,2 => CTR => C2: 6 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 # I2: 1,2 => CTR => I2: 4,8 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 # I3: 3,8 => CTR => I3: 1,2 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 # E5: 6 => CTR => E5: 3,4 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 # B4: 9 => CTR => B4: 2,6 * PRF # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 + B4: 2,6 # B3: 1,2 => SOL * STA # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 + B4: 2,6 + B3: 1,2 * CNT 9 HDP CHAINS / 43 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
| 98.7..6..7..5.......4.9....4...7..3..7...2..9..3..57..1....6..7.4..8..1....1..2.. | initial |
| 98.7..6..7..5.......4.9..7.4...7..3..7...2..9..3..57..1....6..7.4..8..1....1..2.. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D5,E5: 3.. / D5 = 3 => 1 pairs (_) / E5 = 3 => 1 pairs (_) E7,E9: 5.. / E7 = 5 => 1 pairs (_) / E9 = 5 => 0 pairs (_) E2,D3: 6.. / E2 = 6 => 2 pairs (_) / D3 = 6 => 2 pairs (_) C8,C9: 7.. / C8 = 7 => 1 pairs (_) / C9 = 7 => 0 pairs (_) F8,F9: 7.. / F8 = 7 => 0 pairs (_) / F9 = 7 => 1 pairs (_) C8,F8: 7.. / C8 = 7 => 1 pairs (_) / F8 = 7 => 0 pairs (_) C9,F9: 7.. / C9 = 7 => 0 pairs (_) / F9 = 7 => 1 pairs (_) G2,H2: 9.. / G2 = 9 => 1 pairs (_) / H2 = 9 => 0 pairs (_) B6,D6: 9.. / B6 = 9 => 0 pairs (_) / D6 = 9 => 6 pairs (_) * DURATION: 0:00:06.564446 START: 06:36:10.186306 END: 06:36:16.750752 2021-01-08 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B6,D6: 9.. / B6 = 9 ==> 0 pairs (_) / D6 = 9 ==> 6 pairs (_) E2,D3: 6.. / E2 = 6 ==> 2 pairs (_) / D3 = 6 ==> 2 pairs (_) D5,E5: 3.. / D5 = 3 ==> 1 pairs (_) / E5 = 3 ==> 1 pairs (_) G2,H2: 9.. / G2 = 9 ==> 1 pairs (_) / H2 = 9 ==> 0 pairs (_) C9,F9: 7.. / C9 = 7 ==> 0 pairs (_) / F9 = 7 ==> 1 pairs (_) C8,F8: 7.. / C8 = 7 ==> 1 pairs (_) / F8 = 7 ==> 0 pairs (_) F8,F9: 7.. / F8 = 7 ==> 0 pairs (_) / F9 = 7 ==> 1 pairs (_) C8,C9: 7.. / C8 = 7 ==> 1 pairs (_) / C9 = 7 ==> 0 pairs (_) E7,E9: 5.. / E7 = 5 ==> 1 pairs (_) / E9 = 5 ==> 0 pairs (_) * DURATION: 0:00:53.023088 START: 06:36:16.751626 END: 06:37:09.774714 2021-01-08 * DCP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) B6,D6: 9.. / B6 = 9 => 0 pairs (X) / D6 = 9 ==> 0 pairs (*) * DURATION: 0:00:46.626654 START: 06:37:09.901914 END: 06:37:56.528568 2021-01-08 * REASONING B6,D6: 9.. * DIS # D6: 9 # E2: 1,2 # I1: 1,2 => CTR => I1: 3,4,5 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 # C1: 5 => CTR => C1: 1,2 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 # B2: 1,2 => CTR => B2: 3,6 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 # C2: 1,2 => CTR => C2: 6 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 # I2: 1,2 => CTR => I2: 4,8 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 # I3: 3,8 => CTR => I3: 1,2 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 # E5: 6 => CTR => E5: 3,4 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 # B4: 9 => CTR => B4: 2,6 * PRF # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 + B4: 2,6 # B3: 1,2 => SOL * STA # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 + B4: 2,6 + B3: 1,2 * CNT 9 HDP CHAINS / 43 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
1001226;13_07;GP;25;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B6,D6: 9..:
* INC # D6: 9 # E2: 1,2 => UNS * INC # D6: 9 # E2: 6 => UNS * INC # D6: 9 # C1: 1,2 => UNS * INC # D6: 9 # I1: 1,2 => UNS * INC # D6: 9 # D5: 6,8 => UNS * INC # D6: 9 # D5: 3,4 => UNS * INC # D6: 9 # C4: 6,8 => UNS * INC # D6: 9 # I4: 6,8 => UNS * INC # D6: 9 # D3: 6,8 => UNS * INC # D6: 9 # D3: 2 => UNS * INC # D6: 9 # C4: 1,8 => UNS * INC # D6: 9 # G4: 1,8 => UNS * INC # D6: 9 # I4: 1,8 => UNS * INC # D6: 9 # F2: 1,8 => UNS * INC # D6: 9 # F3: 1,8 => UNS * INC # D6: 9 # D7: 2,3 => UNS * INC # D6: 9 # E7: 2,3 => UNS * INC # D6: 9 # A8: 2,3 => UNS * INC # D6: 9 # A8: 5,6 => UNS * INC # D6: 9 # C8: 7,9 => UNS * INC # D6: 9 # C8: 2,5,6 => UNS * INC # D6: 9 # C9: 7,9 => UNS * INC # D6: 9 # C9: 5,6,8 => UNS * INC # D6: 9 => UNS * INC # B6: 9 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for E2,D3: 6..:
* INC # E2: 6 # C1: 1,2 => UNS * INC # E2: 6 # B2: 1,2 => UNS * INC # E2: 6 # B3: 1,2 => UNS * INC # E2: 6 # I2: 1,2 => UNS * INC # E2: 6 # I2: 3,4,8 => UNS * INC # E2: 6 # C4: 1,2 => UNS * INC # E2: 6 # C4: 5,6,8,9 => UNS * INC # E2: 6 # E5: 1,4 => UNS * INC # E2: 6 # E5: 3 => UNS * INC # E2: 6 # I6: 1,4 => UNS * INC # E2: 6 # I6: 2,6,8 => UNS * INC # E2: 6 # E1: 1,4 => UNS * INC # E2: 6 # E1: 2,3 => UNS * INC # E2: 6 => UNS * INC # D3: 6 # D6: 8,9 => UNS * INC # D3: 6 # D6: 4 => UNS * INC # D3: 6 # C4: 8,9 => UNS * INC # D3: 6 # C4: 1,2,5,6 => UNS * INC # D3: 6 # B4: 1,9 => UNS * INC # D3: 6 # C4: 1,9 => UNS * INC # D3: 6 => UNS * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for D5,E5: 3..:
* INC # D5: 3 # D7: 2,9 => UNS * INC # D5: 3 # D7: 4 => UNS * INC # D5: 3 # C8: 2,9 => UNS * INC # D5: 3 # C8: 5,6,7 => UNS * INC # D5: 3 => UNS * INC # E5: 3 # E7: 4,5 => UNS * INC # E5: 3 # E7: 2 => UNS * INC # E5: 3 # H9: 4,5 => UNS * INC # E5: 3 # I9: 4,5 => UNS * INC # E5: 3 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for G2,H2: 9..:
* INC # G2: 9 # G7: 3,5 => UNS * INC # G2: 9 # I8: 3,5 => UNS * INC # G2: 9 # I9: 3,5 => UNS * INC # G2: 9 # A8: 3,5 => UNS * INC # G2: 9 # A8: 2,6 => UNS * INC # G2: 9 # G3: 3,5 => UNS * INC # G2: 9 # G3: 1,8 => UNS * INC # G2: 9 => UNS * INC # H2: 9 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for C9,F9: 7..:
* INC # F9: 7 # D7: 3,9 => UNS * INC # F9: 7 # D8: 3,9 => UNS * INC # F9: 7 # G8: 3,9 => UNS * INC # F9: 7 # G8: 5 => UNS * INC # F9: 7 => UNS * INC # C9: 7 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for C8,F8: 7..:
* INC # C8: 7 # D7: 3,9 => UNS * INC # C8: 7 # D8: 3,9 => UNS * INC # C8: 7 # G8: 3,9 => UNS * INC # C8: 7 # G8: 5 => UNS * INC # C8: 7 => UNS * INC # F8: 7 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for F8,F9: 7..:
* INC # F9: 7 # D7: 3,9 => UNS * INC # F9: 7 # D8: 3,9 => UNS * INC # F9: 7 # G8: 3,9 => UNS * INC # F9: 7 # G8: 5 => UNS * INC # F9: 7 => UNS * INC # F8: 7 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for C8,C9: 7..:
* INC # C8: 7 # D7: 3,9 => UNS * INC # C8: 7 # D8: 3,9 => UNS * INC # C8: 7 # G8: 3,9 => UNS * INC # C8: 7 # G8: 5 => UNS * INC # C8: 7 => UNS * INC # C9: 7 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED
Full list of HDP chains traversed for E7,E9: 5..:
* INC # E7: 5 # D7: 3,4 => UNS * INC # E7: 5 # F9: 3,4 => UNS * INC # E7: 5 # I9: 3,4 => UNS * INC # E7: 5 # I9: 5,6,8 => UNS * INC # E7: 5 # E1: 3,4 => UNS * INC # E7: 5 # E2: 3,4 => UNS * INC # E7: 5 # E5: 3,4 => UNS * INC # E7: 5 => UNS * INC # E9: 5 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for B6,D6: 9..:
* INC # D6: 9 # E2: 1,2 => UNS * INC # D6: 9 # E2: 6 => UNS * INC # D6: 9 # C1: 1,2 => UNS * INC # D6: 9 # I1: 1,2 => UNS * INC # D6: 9 # D5: 6,8 => UNS * INC # D6: 9 # D5: 3,4 => UNS * INC # D6: 9 # C4: 6,8 => UNS * INC # D6: 9 # I4: 6,8 => UNS * INC # D6: 9 # D3: 6,8 => UNS * INC # D6: 9 # D3: 2 => UNS * INC # D6: 9 # C4: 1,8 => UNS * INC # D6: 9 # G4: 1,8 => UNS * INC # D6: 9 # I4: 1,8 => UNS * INC # D6: 9 # F2: 1,8 => UNS * INC # D6: 9 # F3: 1,8 => UNS * INC # D6: 9 # D7: 2,3 => UNS * INC # D6: 9 # E7: 2,3 => UNS * INC # D6: 9 # A8: 2,3 => UNS * INC # D6: 9 # A8: 5,6 => UNS * INC # D6: 9 # C8: 7,9 => UNS * INC # D6: 9 # C8: 2,5,6 => UNS * INC # D6: 9 # C9: 7,9 => UNS * INC # D6: 9 # C9: 5,6,8 => UNS * INC # D6: 9 # E2: 1,2 # C1: 1,2 => UNS * DIS # D6: 9 # E2: 1,2 # I1: 1,2 => CTR => I1: 3,4,5 * INC # D6: 9 # E2: 1,2 + I1: 3,4,5 # C1: 1,2 => UNS * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 # C1: 5 => CTR => C1: 1,2 * INC # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 # F2: 3,4 => UNS * INC # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 # F2: 8 => UNS * INC # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 # I1: 3,4 => UNS * INC # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 # I1: 5 => UNS * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 # B2: 1,2 => CTR => B2: 3,6 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 # C2: 1,2 => CTR => C2: 6 * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 # I2: 1,2 => CTR => I2: 4,8 * INC # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 # G3: 3,8 => UNS * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 # I3: 3,8 => CTR => I3: 1,2 * INC # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 # E5: 3,4 => UNS * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 # E5: 6 => CTR => E5: 3,4 * INC # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 # B4: 2,6 => UNS * DIS # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 # B4: 9 => CTR => B4: 2,6 * PRF # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 + B4: 2,6 # B3: 1,2 => SOL * STA # D6: 9 # E2: 1,2 + I1: 3,4,5 + C1: 1,2 + B2: 3,6 + C2: 6 + I2: 4,8 + I3: 1,2 + E5: 3,4 + B4: 2,6 + B3: 1,2 * CNT 41 HDP CHAINS / 43 HYP OPENED