Analysis of xx-ph-00040209-12_07-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..5..4.......7.9..3.7...3..5...3..42.....1....3.7..8..9...92....6......1.. initial
Autosolve
position: 98.7.36..53.4.......7.9..3.7...3..5...3..42.....1....3.7..8..9...92....6......1.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for E8,E9: 4..:
* DIS # E8: 4 # G8: 7,8 => CTR => G8: 3,5 * CNT 1 HDP CHAINS / 27 HYP OPENED
List of important HDP chains detected for G2,I2: 9..:
* DIS # G2: 9 # G6: 4,8 => CTR => G6: 7 * DIS # G2: 9 + G6: 7 # G8: 4,8 => CTR => G8: 3,5 * 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: 0:00:29.333791
List of important HDP chains detected for E1,I1: 5..:
* PRF # I1: 5 # F2: 1,2 # C4: 1,2 => SOL * STA # I1: 5 # F2: 1,2 + C4: 1,2 * CNT 1 HDP CHAINS / 44 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.......7.9..3.7...3..5...3..42.....1....3.7..8..9...92....6......1.. | initial |
| 98.7.36..53.4.......7.9..3.7...3..5...3..42.....1....3.7..8..9...92....6......1.. | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) D7,D9: 3.. / D7 = 3 => 1 pairs (_) / D9 = 3 => 1 pairs (_) G7,G8: 3.. / G7 = 3 => 1 pairs (_) / G8 = 3 => 1 pairs (_) A8,G8: 3.. / A8 = 3 => 1 pairs (_) / G8 = 3 => 1 pairs (_) A9,D9: 3.. / A9 = 3 => 1 pairs (_) / D9 = 3 => 1 pairs (_) E8,E9: 4.. / E8 = 4 => 2 pairs (_) / E9 = 4 => 0 pairs (_) E1,I1: 5.. / E1 = 5 => 2 pairs (_) / I1 = 5 => 5 pairs (_) H5,H6: 6.. / H5 = 6 => 2 pairs (_) / H6 = 6 => 0 pairs (_) G2,I2: 9.. / G2 = 9 => 1 pairs (_) / I2 = 9 => 1 pairs (_) D9,F9: 9.. / D9 = 9 => 2 pairs (_) / F9 = 9 => 0 pairs (_) * DURATION: 0:00:05.606401 START: 19:09:43.916631 END: 19:09:49.523032 2020-09-30 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E1,I1: 5.. / E1 = 5 ==> 2 pairs (_) / I1 = 5 ==> 5 pairs (_) D9,F9: 9.. / D9 = 9 ==> 2 pairs (_) / F9 = 9 ==> 0 pairs (_) H5,H6: 6.. / H5 = 6 ==> 2 pairs (_) / H6 = 6 ==> 0 pairs (_) E8,E9: 4.. / E8 = 4 ==> 3 pairs (_) / E9 = 4 ==> 0 pairs (_) G2,I2: 9.. / G2 = 9 ==> 2 pairs (_) / I2 = 9 ==> 1 pairs (_) A9,D9: 3.. / A9 = 3 ==> 1 pairs (_) / D9 = 3 ==> 1 pairs (_) A8,G8: 3.. / A8 = 3 ==> 1 pairs (_) / G8 = 3 ==> 1 pairs (_) G7,G8: 3.. / G7 = 3 ==> 1 pairs (_) / G8 = 3 ==> 1 pairs (_) D7,D9: 3.. / D7 = 3 ==> 1 pairs (_) / D9 = 3 ==> 1 pairs (_) * DURATION: 0:01:16.272168 START: 19:09:49.523737 END: 19:11:05.795905 2020-09-30 * REASONING E8,E9: 4.. * DIS # E8: 4 # G8: 7,8 => CTR => G8: 3,5 * CNT 1 HDP CHAINS / 27 HYP OPENED * REASONING G2,I2: 9.. * DIS # G2: 9 # G6: 4,8 => CTR => G6: 7 * DIS # G2: 9 + G6: 7 # G8: 4,8 => CTR => G8: 3,5 * CNT 2 HDP CHAINS / 29 HYP OPENED * DCP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) E1,I1: 5.. / E1 = 5 => 0 pairs (X) / I1 = 5 ==> 0 pairs (*) * DURATION: 0:00:29.330848 START: 19:11:05.903606 END: 19:11:35.234454 2020-09-30 * REASONING E1,I1: 5.. * PRF # I1: 5 # F2: 1,2 # C4: 1,2 => SOL * STA # I1: 5 # F2: 1,2 + C4: 1,2 * CNT 1 HDP CHAINS / 44 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
40209;12_07;GP;24;11.50;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E1,I1: 5..:
* INC # I1: 5 # E2: 1,2 => UNS * INC # I1: 5 # F2: 1,2 => UNS * INC # I1: 5 # F3: 1,2 => UNS * INC # I1: 5 # C1: 1,2 => UNS * INC # I1: 5 # H1: 1,2 => UNS * INC # I1: 5 # I3: 4,8 => UNS * INC # I1: 5 # I3: 1,2 => UNS * INC # I1: 5 # G4: 4,8 => UNS * INC # I1: 5 # G6: 4,8 => UNS * INC # I1: 5 # D7: 3,5 => UNS * INC # I1: 5 # D7: 6 => UNS * INC # I1: 5 # H9: 2,4 => UNS * INC # I1: 5 # I9: 2,4 => UNS * INC # I1: 5 # A7: 2,4 => UNS * INC # I1: 5 # C7: 2,4 => UNS * INC # I1: 5 # I3: 2,4 => UNS * INC # I1: 5 # I3: 1,8 => UNS * INC # I1: 5 => UNS * INC # E1: 5 # F2: 6,8 => UNS * INC # E1: 5 # F3: 6,8 => UNS * INC # E1: 5 # D4: 6,8 => UNS * INC # E1: 5 # D5: 6,8 => UNS * INC # E1: 5 # E6: 6,7 => UNS * INC # E1: 5 # F6: 6,7 => UNS * INC # E1: 5 # H5: 6,7 => UNS * INC # E1: 5 # H5: 1,8 => UNS * INC # E1: 5 # E9: 6,7 => UNS * INC # E1: 5 # E9: 4 => UNS * INC # E1: 5 => UNS * CNT 29 HDP CHAINS / 29 HYP OPENED
Full list of HDP chains traversed for D9,F9: 9..:
* INC # D9: 9 # F4: 6,8 => UNS * INC # D9: 9 # D5: 6,8 => UNS * INC # D9: 9 # F6: 6,8 => UNS * INC # D9: 9 # C4: 6,8 => UNS * INC # D9: 9 # C4: 1,2,4 => UNS * INC # D9: 9 # D3: 6,8 => UNS * INC # D9: 9 # D3: 5 => UNS * INC # D9: 9 # I7: 4,5 => UNS * INC # D9: 9 # I9: 4,5 => UNS * INC # D9: 9 # C7: 4,5 => UNS * INC # D9: 9 # C7: 1,2,6 => UNS * INC # D9: 9 # G3: 4,5 => UNS * INC # D9: 9 # G3: 8 => UNS * INC # D9: 9 => UNS * INC # F9: 9 => UNS * CNT 15 HDP CHAINS / 15 HYP OPENED
Full list of HDP chains traversed for H5,H6: 6..:
* INC # H5: 6 # C4: 1,8 => UNS * INC # H5: 6 # C4: 2,4,6 => UNS * INC # H5: 6 # I5: 1,8 => UNS * INC # H5: 6 # I5: 7,9 => UNS * INC # H5: 6 # A8: 1,8 => UNS * INC # H5: 6 # A8: 3,4 => UNS * INC # H5: 6 # E6: 5,7 => UNS * INC # H5: 6 # F6: 5,7 => UNS * INC # H5: 6 # E8: 5,7 => UNS * INC # H5: 6 # E9: 5,7 => UNS * INC # H5: 6 => UNS * INC # H6: 6 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for E8,E9: 4..:
* INC # E8: 4 # C7: 1,5 => UNS * INC # E8: 4 # C7: 2,4,6 => UNS * INC # E8: 4 # F8: 1,5 => UNS * INC # E8: 4 # F8: 7 => UNS * INC # E8: 4 # B5: 1,5 => UNS * INC # E8: 4 # B5: 6,9 => UNS * DIS # E8: 4 # G8: 7,8 => CTR => G8: 3,5 * INC # E8: 4 + G8: 3,5 # H9: 7,8 => UNS * INC # E8: 4 + G8: 3,5 # I9: 7,8 => UNS * INC # E8: 4 + G8: 3,5 # H2: 7,8 => UNS * INC # E8: 4 + G8: 3,5 # H5: 7,8 => UNS * INC # E8: 4 + G8: 3,5 # H6: 7,8 => UNS * INC # E8: 4 + G8: 3,5 # C7: 1,5 => UNS * INC # E8: 4 + G8: 3,5 # C7: 2,4,6 => UNS * INC # E8: 4 + G8: 3,5 # F8: 1,5 => UNS * INC # E8: 4 + G8: 3,5 # F8: 7 => UNS * INC # E8: 4 + G8: 3,5 # B5: 1,5 => UNS * INC # E8: 4 + G8: 3,5 # B5: 6,9 => UNS * INC # E8: 4 + G8: 3,5 # G7: 3,5 => UNS * INC # E8: 4 + G8: 3,5 # G7: 4 => UNS * INC # E8: 4 + G8: 3,5 # H9: 7,8 => UNS * INC # E8: 4 + G8: 3,5 # I9: 7,8 => UNS * INC # E8: 4 + G8: 3,5 # H2: 7,8 => UNS * INC # E8: 4 + G8: 3,5 # H5: 7,8 => UNS * INC # E8: 4 + G8: 3,5 # H6: 7,8 => UNS * INC # E8: 4 + G8: 3,5 => UNS * INC # E9: 4 => UNS * CNT 27 HDP CHAINS / 27 HYP OPENED
Full list of HDP chains traversed for G2,I2: 9..:
* INC # G2: 9 # I4: 4,8 => UNS * DIS # G2: 9 # G6: 4,8 => CTR => G6: 7 * INC # G2: 9 + G6: 7 # H6: 4,8 => UNS * INC # G2: 9 + G6: 7 # C4: 4,8 => UNS * INC # G2: 9 + G6: 7 # C4: 1,2,6 => UNS * INC # G2: 9 + G6: 7 # G3: 4,8 => UNS * DIS # G2: 9 + G6: 7 # G8: 4,8 => CTR => G8: 3,5 * INC # G2: 9 + G6: 7 + G8: 3,5 # G3: 4,8 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 # G3: 5 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 # I4: 4,8 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 # H6: 4,8 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 # C4: 4,8 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 # C4: 1,2,6 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 # G3: 4,8 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 # G3: 5 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 # I4: 4,8 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 # H6: 4,8 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 # C4: 4,8 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 # C4: 1,2,6 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 # G3: 4,8 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 # G3: 5 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 # G7: 3,5 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 # G7: 4 => UNS * INC # G2: 9 + G6: 7 + G8: 3,5 => UNS * INC # I2: 9 # H2: 7,8 => UNS * INC # I2: 9 # H2: 1,2 => UNS * INC # I2: 9 # G6: 7,8 => UNS * INC # I2: 9 # G8: 7,8 => UNS * INC # I2: 9 => UNS * CNT 29 HDP CHAINS / 29 HYP OPENED
Full list of HDP chains traversed for A9,D9: 3..:
* INC # A9: 3 # I7: 4,5 => UNS * INC # A9: 3 # I9: 4,5 => UNS * INC # A9: 3 # C7: 4,5 => UNS * INC # A9: 3 # C7: 1,2,6 => UNS * INC # A9: 3 # G3: 4,5 => UNS * INC # A9: 3 # G3: 8 => UNS * INC # A9: 3 => UNS * INC # D9: 3 # F7: 5,6 => UNS * INC # D9: 3 # E9: 5,6 => UNS * INC # D9: 3 # C7: 5,6 => UNS * INC # D9: 3 # C7: 1,2,4 => UNS * INC # D9: 3 # D3: 5,6 => UNS * INC # D9: 3 # D5: 5,6 => UNS * INC # D9: 3 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for A8,G8: 3..:
* INC # A8: 3 # F7: 5,6 => UNS * INC # A8: 3 # E9: 5,6 => UNS * INC # A8: 3 # C7: 5,6 => UNS * INC # A8: 3 # C7: 1,2,4 => UNS * INC # A8: 3 # D3: 5,6 => UNS * INC # A8: 3 # D5: 5,6 => UNS * INC # A8: 3 => UNS * INC # G8: 3 # I7: 4,5 => UNS * INC # G8: 3 # I9: 4,5 => UNS * INC # G8: 3 # C7: 4,5 => UNS * INC # G8: 3 # C7: 1,2,6 => UNS * INC # G8: 3 # G3: 4,5 => UNS * INC # G8: 3 # G3: 8 => UNS * INC # G8: 3 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for G7,G8: 3..:
* INC # G7: 3 # F7: 5,6 => UNS * INC # G7: 3 # E9: 5,6 => UNS * INC # G7: 3 # C7: 5,6 => UNS * INC # G7: 3 # C7: 1,2,4 => UNS * INC # G7: 3 # D3: 5,6 => UNS * INC # G7: 3 # D5: 5,6 => UNS * INC # G7: 3 => UNS * INC # G8: 3 # I7: 4,5 => UNS * INC # G8: 3 # I9: 4,5 => UNS * INC # G8: 3 # C7: 4,5 => UNS * INC # G8: 3 # C7: 1,2,6 => UNS * INC # G8: 3 # G3: 4,5 => UNS * INC # G8: 3 # G3: 8 => UNS * INC # G8: 3 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for D7,D9: 3..:
* INC # D7: 3 # I7: 4,5 => UNS * INC # D7: 3 # I9: 4,5 => UNS * INC # D7: 3 # C7: 4,5 => UNS * INC # D7: 3 # C7: 1,2,6 => UNS * INC # D7: 3 # G3: 4,5 => UNS * INC # D7: 3 # G3: 8 => UNS * INC # D7: 3 => UNS * INC # D9: 3 # F7: 5,6 => UNS * INC # D9: 3 # E9: 5,6 => UNS * INC # D9: 3 # C7: 5,6 => UNS * INC # D9: 3 # C7: 1,2,4 => UNS * INC # D9: 3 # D3: 5,6 => UNS * INC # D9: 3 # D5: 5,6 => UNS * INC # D9: 3 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for E1,I1: 5..:
* INC # I1: 5 # E2: 1,2 => UNS * INC # I1: 5 # F2: 1,2 => UNS * INC # I1: 5 # F3: 1,2 => UNS * INC # I1: 5 # C1: 1,2 => UNS * INC # I1: 5 # H1: 1,2 => UNS * INC # I1: 5 # I3: 4,8 => UNS * INC # I1: 5 # I3: 1,2 => UNS * INC # I1: 5 # G4: 4,8 => UNS * INC # I1: 5 # G6: 4,8 => UNS * INC # I1: 5 # D7: 3,5 => UNS * INC # I1: 5 # D7: 6 => UNS * INC # I1: 5 # H9: 2,4 => UNS * INC # I1: 5 # I9: 2,4 => UNS * INC # I1: 5 # A7: 2,4 => UNS * INC # I1: 5 # C7: 2,4 => UNS * INC # I1: 5 # I3: 2,4 => UNS * INC # I1: 5 # I3: 1,8 => UNS * INC # I1: 5 # E2: 1,2 # C1: 1,2 => UNS * INC # I1: 5 # E2: 1,2 # H1: 1,2 => UNS * INC # I1: 5 # E2: 1,2 # C2: 1,2 => UNS * INC # I1: 5 # E2: 1,2 # H2: 1,2 => UNS * INC # I1: 5 # E2: 1,2 # I2: 1,2 => UNS * INC # I1: 5 # E2: 1,2 # D3: 6,8 => UNS * INC # I1: 5 # E2: 1,2 # F3: 6,8 => UNS * INC # I1: 5 # E2: 1,2 # F4: 6,8 => UNS * INC # I1: 5 # E2: 1,2 # F6: 6,8 => UNS * INC # I1: 5 # E2: 1,2 # I3: 4,8 => UNS * INC # I1: 5 # E2: 1,2 # I3: 1,2 => UNS * INC # I1: 5 # E2: 1,2 # G4: 4,8 => UNS * INC # I1: 5 # E2: 1,2 # G6: 4,8 => UNS * INC # I1: 5 # E2: 1,2 # D7: 3,5 => UNS * INC # I1: 5 # E2: 1,2 # D7: 6 => UNS * INC # I1: 5 # E2: 1,2 # H9: 2,4 => UNS * INC # I1: 5 # E2: 1,2 # I9: 2,4 => UNS * INC # I1: 5 # E2: 1,2 # A7: 2,4 => UNS * INC # I1: 5 # E2: 1,2 # C7: 2,4 => UNS * INC # I1: 5 # E2: 1,2 # I3: 2,4 => UNS * INC # I1: 5 # E2: 1,2 # I3: 1,8 => UNS * INC # I1: 5 # E2: 1,2 => UNS * INC # I1: 5 # F2: 1,2 # A3: 1,2 => UNS * INC # I1: 5 # F2: 1,2 # B3: 1,2 => UNS * PRF # I1: 5 # F2: 1,2 # C4: 1,2 => SOL * STA # I1: 5 # F2: 1,2 + C4: 1,2 * CNT 42 HDP CHAINS / 44 HYP OPENED