Analysis of xx-ph-00117710-12_11-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6....5.4..3......9...43.....8.2...8......8..45...1...6..7..4.2..5....4..1.. initial
Autosolve
position: 98.7..6....5.4..3..4...9...43.....8.25..8......8..45...1...6..7..4.2..5....4..1.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for G2,I2: 9..:
* DIS # G2: 9 # G7: 3,8 => CTR => G7: 2,4 * CNT 1 HDP CHAINS / 27 HYP OPENED
List of important HDP chains detected for A7,A9: 5..:
* DIS # A7: 5 # D7: 3,9 => CTR => D7: 8 * DIS # A7: 5 + D7: 8 # G7: 3,9 => CTR => G7: 2,4 * CNT 2 HDP CHAINS / 29 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:29.943918
List of important HDP chains detected for B2,B9: 2..:
* DIS # B9: 2 # A3: 6,7 # D2: 2,8 => CTR => D2: 6 * PRF # B9: 2 # A3: 6,7 + D2: 6 => SOL * STA # B9: 2 + A3: 6,7 * CNT 2 HDP CHAINS / 46 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....5.4..3......9...43.....8.2...8......8..45...1...6..7..4.2..5....4..1.. | initial |
| 98.7..6....5.4..3..4...9...43.....8.25..8......8..45...1...6..7..4.2..5....4..1.. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D8,F8: 1.. / D8 = 1 => 0 pairs (_) / F8 = 1 => 2 pairs (_) B2,B9: 2.. / B2 = 2 => 2 pairs (_) / B9 = 2 => 5 pairs (_) H1,I1: 4.. / H1 = 4 => 1 pairs (_) / I1 = 4 => 1 pairs (_) G7,H7: 4.. / G7 = 4 => 1 pairs (_) / H7 = 4 => 1 pairs (_) G5,G7: 4.. / G5 = 4 => 1 pairs (_) / G7 = 4 => 1 pairs (_) I1,I5: 4.. / I1 = 4 => 1 pairs (_) / I5 = 4 => 1 pairs (_) I1,I3: 5.. / I1 = 5 => 2 pairs (_) / I3 = 5 => 0 pairs (_) A7,A9: 5.. / A7 = 5 => 1 pairs (_) / A9 = 5 => 1 pairs (_) G2,I2: 9.. / G2 = 9 => 2 pairs (_) / I2 = 9 => 0 pairs (_) * DURATION: 0:00:05.586337 START: 03:33:03.786312 END: 03:33:09.372649 2020-12-23 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B2,B9: 2.. / B2 = 2 ==> 2 pairs (_) / B9 = 2 ==> 5 pairs (_) G2,I2: 9.. / G2 = 9 ==> 3 pairs (_) / I2 = 9 ==> 0 pairs (_) I1,I3: 5.. / I1 = 5 ==> 2 pairs (_) / I3 = 5 ==> 0 pairs (_) D8,F8: 1.. / D8 = 1 ==> 0 pairs (_) / F8 = 1 ==> 2 pairs (_) A7,A9: 5.. / A7 = 5 ==> 2 pairs (_) / A9 = 5 ==> 1 pairs (_) I1,I5: 4.. / I1 = 4 ==> 1 pairs (_) / I5 = 4 ==> 1 pairs (_) G5,G7: 4.. / G5 = 4 ==> 1 pairs (_) / G7 = 4 ==> 1 pairs (_) G7,H7: 4.. / G7 = 4 ==> 1 pairs (_) / H7 = 4 ==> 1 pairs (_) H1,I1: 4.. / H1 = 4 ==> 1 pairs (_) / I1 = 4 ==> 1 pairs (_) * DURATION: 0:01:12.709279 START: 03:33:09.373218 END: 03:34:22.082497 2020-12-23 * REASONING G2,I2: 9.. * DIS # G2: 9 # G7: 3,8 => CTR => G7: 2,4 * CNT 1 HDP CHAINS / 27 HYP OPENED * REASONING A7,A9: 5.. * DIS # A7: 5 # D7: 3,9 => CTR => D7: 8 * DIS # A7: 5 + D7: 8 # G7: 3,9 => CTR => G7: 2,4 * CNT 2 HDP CHAINS / 29 HYP OPENED * DCP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) B2,B9: 2.. / B2 = 2 => 0 pairs (X) / B9 = 2 ==> 0 pairs (*) * DURATION: 0:00:29.942712 START: 03:34:22.179425 END: 03:34:52.122137 2020-12-23 * REASONING B2,B9: 2.. * DIS # B9: 2 # A3: 6,7 # D2: 2,8 => CTR => D2: 6 * PRF # B9: 2 # A3: 6,7 + D2: 6 => SOL * STA # B9: 2 + A3: 6,7 * CNT 2 HDP CHAINS / 46 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
117710;12_11;GP;24;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B2,B9: 2..:
* INC # B9: 2 # A2: 6,7 => UNS * INC # B9: 2 # A3: 6,7 => UNS * INC # B9: 2 # C3: 6,7 => UNS * INC # B9: 2 # B6: 6,7 => UNS * INC # B9: 2 # B8: 6,7 => UNS * INC # B9: 2 # C9: 3,9 => UNS * INC # B9: 2 # C9: 6,7 => UNS * INC # B9: 2 # D7: 3,9 => UNS * INC # B9: 2 # E7: 3,9 => UNS * INC # B9: 2 # H1: 2,4 => UNS * INC # B9: 2 # H1: 1 => UNS * INC # B9: 2 # I8: 6,9 => UNS * INC # B9: 2 # I9: 6,9 => UNS * INC # B9: 2 # C9: 6,9 => UNS * INC # B9: 2 # C9: 3,7 => UNS * INC # B9: 2 # H5: 6,9 => UNS * INC # B9: 2 # H6: 6,9 => UNS * INC # B9: 2 => UNS * INC # B2: 2 # A3: 1,3 => UNS * INC # B2: 2 # C3: 1,3 => UNS * INC # B2: 2 # E1: 1,3 => UNS * INC # B2: 2 # F1: 1,3 => UNS * INC # B2: 2 # D2: 1,8 => UNS * INC # B2: 2 # D3: 1,8 => UNS * INC # B2: 2 # I2: 1,8 => UNS * INC # B2: 2 # I2: 9 => UNS * INC # B2: 2 # F8: 1,8 => UNS * INC # B2: 2 # F8: 3,7 => UNS * INC # B2: 2 => UNS * CNT 29 HDP CHAINS / 29 HYP OPENED
Full list of HDP chains traversed for G2,I2: 9..:
* INC # G2: 9 # H6: 2,7 => UNS * INC # G2: 9 # H6: 1,6,9 => UNS * INC # G2: 9 # F4: 2,7 => UNS * INC # G2: 9 # F4: 1,5 => UNS * INC # G2: 9 # G3: 2,7 => UNS * INC # G2: 9 # G3: 8 => UNS * DIS # G2: 9 # G7: 3,8 => CTR => G7: 2,4 * INC # G2: 9 + G7: 2,4 # I8: 3,8 => UNS * INC # G2: 9 + G7: 2,4 # I9: 3,8 => UNS * INC # G2: 9 + G7: 2,4 # A8: 3,8 => UNS * INC # G2: 9 + G7: 2,4 # D8: 3,8 => UNS * INC # G2: 9 + G7: 2,4 # F8: 3,8 => UNS * INC # G2: 9 + G7: 2,4 # H6: 2,7 => UNS * INC # G2: 9 + G7: 2,4 # H6: 1,6,9 => UNS * INC # G2: 9 + G7: 2,4 # F4: 2,7 => UNS * INC # G2: 9 + G7: 2,4 # F4: 1,5 => UNS * INC # G2: 9 + G7: 2,4 # G3: 2,7 => UNS * INC # G2: 9 + G7: 2,4 # G3: 8 => UNS * INC # G2: 9 + G7: 2,4 # H7: 2,4 => UNS * INC # G2: 9 + G7: 2,4 # H7: 9 => UNS * INC # G2: 9 + G7: 2,4 # I8: 3,8 => UNS * INC # G2: 9 + G7: 2,4 # I9: 3,8 => UNS * INC # G2: 9 + G7: 2,4 # A8: 3,8 => UNS * INC # G2: 9 + G7: 2,4 # D8: 3,8 => UNS * INC # G2: 9 + G7: 2,4 # F8: 3,8 => UNS * INC # G2: 9 + G7: 2,4 => UNS * INC # I2: 9 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for I1,I3: 5..:
* INC # I1: 5 # F1: 1,3 => UNS * INC # I1: 5 # D3: 1,3 => UNS * INC # I1: 5 # E3: 1,3 => UNS * INC # I1: 5 # C1: 1,3 => UNS * INC # I1: 5 # C1: 2 => UNS * INC # I1: 5 # E6: 1,3 => UNS * INC # I1: 5 # E6: 6,7,9 => UNS * INC # I1: 5 # H9: 2,9 => UNS * INC # I1: 5 # I9: 2,9 => UNS * INC # I1: 5 # C7: 2,9 => UNS * INC # I1: 5 # C7: 3 => UNS * INC # I1: 5 # H6: 2,9 => UNS * INC # I1: 5 # H6: 1,6,7 => UNS * INC # I1: 5 => UNS * INC # I3: 5 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for D8,F8: 1..:
* INC # F8: 1 # D2: 2,8 => UNS * INC # F8: 1 # D3: 2,8 => UNS * INC # F8: 1 # G2: 2,8 => UNS * INC # F8: 1 # I2: 2,8 => UNS * INC # F8: 1 # E6: 3,7 => UNS * INC # F8: 1 # E6: 1,6,9 => UNS * INC # F8: 1 # G5: 3,7 => UNS * INC # F8: 1 # G5: 4,9 => UNS * INC # F8: 1 # F9: 3,7 => UNS * INC # F8: 1 # F9: 5,8 => UNS * INC # F8: 1 => UNS * INC # D8: 1 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for A7,A9: 5..:
* DIS # A7: 5 # D7: 3,9 => CTR => D7: 8 * INC # A7: 5 + D7: 8 # D8: 3,9 => UNS * INC # A7: 5 + D7: 8 # E9: 3,9 => UNS * INC # A7: 5 + D7: 8 # C7: 3,9 => UNS * DIS # A7: 5 + D7: 8 # G7: 3,9 => CTR => G7: 2,4 * INC # A7: 5 + D7: 8 + G7: 2,4 # C7: 3,9 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # C7: 2 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # E6: 3,9 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # E6: 1,6,7 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # D8: 3,9 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # E9: 3,9 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # C7: 3,9 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # C7: 2 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # E6: 3,9 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # E6: 1,6,7 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # D8: 3,9 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # E9: 3,9 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # C7: 3,9 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # C7: 2 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # E6: 3,9 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # E6: 1,6,7 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # H7: 2,4 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 # H7: 9 => UNS * INC # A7: 5 + D7: 8 + G7: 2,4 => UNS * INC # A9: 5 # A8: 3,8 => UNS * INC # A9: 5 # A8: 6,7 => UNS * INC # A9: 5 # D7: 3,8 => UNS * INC # A9: 5 # G7: 3,8 => UNS * INC # A9: 5 => UNS * CNT 29 HDP CHAINS / 29 HYP OPENED
Full list of HDP chains traversed for I1,I5: 4..:
* INC # I1: 4 # I2: 1,2 => UNS * INC # I1: 4 # H3: 1,2 => UNS * INC # I1: 4 # C1: 1,2 => UNS * INC # I1: 4 # F1: 1,2 => UNS * INC # I1: 4 # H6: 1,2 => UNS * INC # I1: 4 # H6: 6,7,9 => UNS * INC # I1: 4 => UNS * INC # I5: 4 # H9: 2,9 => UNS * INC # I5: 4 # I9: 2,9 => UNS * INC # I5: 4 # C7: 2,9 => UNS * INC # I5: 4 # C7: 3 => UNS * INC # I5: 4 # H6: 2,9 => UNS * INC # I5: 4 # H6: 1,6,7 => UNS * INC # I5: 4 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for G5,G7: 4..:
* INC # G5: 4 # I2: 1,2 => UNS * INC # G5: 4 # H3: 1,2 => UNS * INC # G5: 4 # C1: 1,2 => UNS * INC # G5: 4 # F1: 1,2 => UNS * INC # G5: 4 # H6: 1,2 => UNS * INC # G5: 4 # H6: 6,7,9 => UNS * INC # G5: 4 => UNS * INC # G7: 4 # H9: 2,9 => UNS * INC # G7: 4 # I9: 2,9 => UNS * INC # G7: 4 # C7: 2,9 => UNS * INC # G7: 4 # C7: 3 => UNS * INC # G7: 4 # H6: 2,9 => UNS * INC # G7: 4 # H6: 1,6,7 => UNS * INC # G7: 4 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for G7,H7: 4..:
* INC # G7: 4 # H9: 2,9 => UNS * INC # G7: 4 # I9: 2,9 => UNS * INC # G7: 4 # C7: 2,9 => UNS * INC # G7: 4 # C7: 3 => UNS * INC # G7: 4 # H6: 2,9 => UNS * INC # G7: 4 # H6: 1,6,7 => UNS * INC # G7: 4 => UNS * INC # H7: 4 # I2: 1,2 => UNS * INC # H7: 4 # H3: 1,2 => UNS * INC # H7: 4 # C1: 1,2 => UNS * INC # H7: 4 # F1: 1,2 => UNS * INC # H7: 4 # H6: 1,2 => UNS * INC # H7: 4 # H6: 6,7,9 => UNS * INC # H7: 4 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for H1,I1: 4..:
* INC # H1: 4 # H9: 2,9 => UNS * INC # H1: 4 # I9: 2,9 => UNS * INC # H1: 4 # C7: 2,9 => UNS * INC # H1: 4 # C7: 3 => UNS * INC # H1: 4 # H6: 2,9 => UNS * INC # H1: 4 # H6: 1,6,7 => UNS * INC # H1: 4 => UNS * INC # I1: 4 # I2: 1,2 => UNS * INC # I1: 4 # H3: 1,2 => UNS * INC # I1: 4 # C1: 1,2 => UNS * INC # I1: 4 # F1: 1,2 => UNS * INC # I1: 4 # H6: 1,2 => UNS * INC # I1: 4 # H6: 6,7,9 => UNS * INC # I1: 4 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for B2,B9: 2..:
* INC # B9: 2 # A2: 6,7 => UNS * INC # B9: 2 # A3: 6,7 => UNS * INC # B9: 2 # C3: 6,7 => UNS * INC # B9: 2 # B6: 6,7 => UNS * INC # B9: 2 # B8: 6,7 => UNS * INC # B9: 2 # C9: 3,9 => UNS * INC # B9: 2 # C9: 6,7 => UNS * INC # B9: 2 # D7: 3,9 => UNS * INC # B9: 2 # E7: 3,9 => UNS * INC # B9: 2 # H1: 2,4 => UNS * INC # B9: 2 # H1: 1 => UNS * INC # B9: 2 # I8: 6,9 => UNS * INC # B9: 2 # I9: 6,9 => UNS * INC # B9: 2 # C9: 6,9 => UNS * INC # B9: 2 # C9: 3,7 => UNS * INC # B9: 2 # H5: 6,9 => UNS * INC # B9: 2 # H6: 6,9 => UNS * INC # B9: 2 # A2: 6,7 # A6: 6,7 => UNS * INC # B9: 2 # A2: 6,7 # A8: 6,7 => UNS * INC # B9: 2 # A2: 6,7 # A9: 6,7 => UNS * INC # B9: 2 # A2: 6,7 # B6: 6,7 => UNS * INC # B9: 2 # A2: 6,7 # B8: 6,7 => UNS * INC # B9: 2 # A2: 6,7 # C1: 1,3 => UNS * INC # B9: 2 # A2: 6,7 # C3: 1,3 => UNS * INC # B9: 2 # A2: 6,7 # D3: 1,3 => UNS * INC # B9: 2 # A2: 6,7 # E3: 1,3 => UNS * INC # B9: 2 # A2: 6,7 # C9: 3,9 => UNS * INC # B9: 2 # A2: 6,7 # C9: 6,7 => UNS * INC # B9: 2 # A2: 6,7 # D7: 3,9 => UNS * INC # B9: 2 # A2: 6,7 # E7: 3,9 => UNS * INC # B9: 2 # A2: 6,7 # H1: 2,4 => UNS * INC # B9: 2 # A2: 6,7 # H1: 1 => UNS * INC # B9: 2 # A2: 6,7 # I8: 6,9 => UNS * INC # B9: 2 # A2: 6,7 # I9: 6,9 => UNS * INC # B9: 2 # A2: 6,7 # C9: 6,9 => UNS * INC # B9: 2 # A2: 6,7 # C9: 3,7 => UNS * INC # B9: 2 # A2: 6,7 # H5: 6,9 => UNS * INC # B9: 2 # A2: 6,7 # H6: 6,9 => UNS * INC # B9: 2 # A2: 6,7 => UNS * INC # B9: 2 # A3: 6,7 # F1: 2,3 => UNS * INC # B9: 2 # A3: 6,7 # F1: 1,5 => UNS * INC # B9: 2 # A3: 6,7 # D3: 2,3 => UNS * INC # B9: 2 # A3: 6,7 # D3: 1,5,6,8 => UNS * DIS # B9: 2 # A3: 6,7 # D2: 2,8 => CTR => D2: 6 * PRF # B9: 2 # A3: 6,7 + D2: 6 => SOL * STA # B9: 2 + A3: 6,7 * CNT 45 HDP CHAINS / 46 HYP OPENED