Analysis of xx-ph-00057640-12_10-base.sdk
Contents
Original Sudoku
level: very deep
position: 98.7..6..7..5.......4.8..9.4...3..7..7...21....3.....6.4..7..8......5..1......2.7 initial
Autosolve
position: 98.7..6..7..5.......4.8.79.4...3..7..7...21....3..7..6.4..7..8...7..5..1......2.7 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for H5,I5: 3..:
* DIS # I5: 3 # C7: 5,9 => CTR => C7: 1,2,6 * DIS # I5: 3 + C7: 1,2,6 # I4: 5,9 => CTR => I4: 2,8 * CNT 2 HDP CHAINS / 44 HYP OPENED
List of important HDP chains detected for F4,F9: 8..:
* DIS # F4: 8 # I5: 5,9 => CTR => I5: 3,4,8 * CNT 1 HDP CHAINS / 33 HYP OPENED
List of important HDP chains detected for A8,D8: 8..:
* DIS # D8: 8 # I5: 5,9 => CTR => I5: 3,4,8 * CNT 1 HDP CHAINS / 29 HYP OPENED
List of important HDP chains detected for H8,H9: 6..:
* DIS # H9: 6 # H2: 3,4 => CTR => H2: 1,2 * CNT 1 HDP CHAINS / 20 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:23.830745
List of important HDP chains detected for I4,H6: 2..:
* DIS # I4: 2 # C1: 1,2 # C2: 1,2 => CTR => C2: 6 * PRF # I4: 2 # C1: 1,2 + C2: 6 # C7: 5 => SOL * STA # I4: 2 # C1: 1,2 + C2: 6 + C7: 5 * CNT 2 HDP CHAINS / 28 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.......4.8..9.4...3..7..7...21....3.....6.4..7..8......5..1......2.7 | initial |
| 98.7..6..7..5.......4.8.79.4...3..7..7...21....3..7..6.4..7..8...7..5..1......2.7 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H1,H2: 1.. / H1 = 1 => 4 pairs (_) / H2 = 1 => 1 pairs (_) I4,H6: 2.. / I4 = 2 => 5 pairs (_) / H6 = 2 => 0 pairs (_) H5,I5: 3.. / H5 = 3 => 1 pairs (_) / I5 = 3 => 4 pairs (_) E5,E6: 5.. / E5 = 5 => 2 pairs (_) / E6 = 5 => 1 pairs (_) H8,H9: 6.. / H8 = 6 => 0 pairs (_) / H9 = 6 => 1 pairs (_) G2,I2: 8.. / G2 = 8 => 3 pairs (_) / I2 = 8 => 1 pairs (_) A8,D8: 8.. / A8 = 8 => 1 pairs (_) / D8 = 8 => 1 pairs (_) F4,F9: 8.. / F4 = 8 => 1 pairs (_) / F9 = 8 => 2 pairs (_) E2,F2: 9.. / E2 = 9 => 0 pairs (_) / F2 = 9 => 0 pairs (_) * DURATION: 0:00:05.561053 START: 04:28:35.869834 END: 04:28:41.430887 2020-12-21 * CP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I4,H6: 2.. / I4 = 2 ==> 5 pairs (_) / H6 = 2 ==> 0 pairs (_) H5,I5: 3.. / H5 = 3 ==> 1 pairs (_) / I5 = 3 ==> 6 pairs (_) H1,H2: 1.. / H1 = 1 ==> 4 pairs (_) / H2 = 1 ==> 1 pairs (_) G2,I2: 8.. / G2 = 8 ==> 3 pairs (_) / I2 = 8 ==> 1 pairs (_) F4,F9: 8.. / F4 = 8 ==> 1 pairs (_) / F9 = 8 ==> 2 pairs (_) E5,E6: 5.. / E5 = 5 ==> 2 pairs (_) / E6 = 5 ==> 1 pairs (_) A8,D8: 8.. / A8 = 8 ==> 1 pairs (_) / D8 = 8 ==> 1 pairs (_) H8,H9: 6.. / H8 = 6 ==> 0 pairs (_) / H9 = 6 ==> 2 pairs (_) E2,F2: 9.. / E2 = 9 ==> 0 pairs (_) / F2 = 9 ==> 0 pairs (_) * DURATION: 0:01:46.439805 START: 04:28:41.431495 END: 04:30:27.871300 2020-12-21 * REASONING H5,I5: 3.. * DIS # I5: 3 # C7: 5,9 => CTR => C7: 1,2,6 * DIS # I5: 3 + C7: 1,2,6 # I4: 5,9 => CTR => I4: 2,8 * CNT 2 HDP CHAINS / 44 HYP OPENED * REASONING F4,F9: 8.. * DIS # F4: 8 # I5: 5,9 => CTR => I5: 3,4,8 * CNT 1 HDP CHAINS / 33 HYP OPENED * REASONING A8,D8: 8.. * DIS # D8: 8 # I5: 5,9 => CTR => I5: 3,4,8 * CNT 1 HDP CHAINS / 29 HYP OPENED * REASONING H8,H9: 6.. * DIS # H9: 6 # H2: 3,4 => CTR => H2: 1,2 * CNT 1 HDP CHAINS / 20 HYP OPENED * DCP COUNT: (9) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) I4,H6: 2.. / I4 = 2 ==> 0 pairs (*) / H6 = 2 => 0 pairs (X) * DURATION: 0:00:23.829446 START: 04:30:27.975629 END: 04:30:51.805075 2020-12-21 * REASONING I4,H6: 2.. * DIS # I4: 2 # C1: 1,2 # C2: 1,2 => CTR => C2: 6 * PRF # I4: 2 # C1: 1,2 + C2: 6 # C7: 5 => SOL * STA # I4: 2 # C1: 1,2 + C2: 6 + C7: 5 * CNT 2 HDP CHAINS / 28 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
57640;12_10;GP;24;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I4,H6: 2..:
* INC # I4: 2 # C1: 1,2 => UNS * INC # I4: 2 # E1: 1,2 => UNS * INC # I4: 2 # B2: 1,2 => UNS * INC # I4: 2 # C2: 1,2 => UNS * INC # I4: 2 # E2: 1,2 => UNS * INC # I4: 2 # I1: 3,5 => UNS * INC # I4: 2 # I1: 4 => UNS * INC # I4: 2 # A3: 3,5 => UNS * INC # I4: 2 # B3: 3,5 => UNS * INC # I4: 2 # H5: 4,5 => UNS * INC # I4: 2 # G6: 4,5 => UNS * INC # I4: 2 # E6: 4,5 => UNS * INC # I4: 2 # E6: 1,9 => UNS * INC # I4: 2 # H9: 4,5 => UNS * INC # I4: 2 # H9: 3,6 => UNS * INC # I4: 2 # G7: 3,9 => UNS * INC # I4: 2 # G8: 3,9 => UNS * INC # I4: 2 # D7: 3,9 => UNS * INC # I4: 2 # F7: 3,9 => UNS * INC # I4: 2 # I5: 3,9 => UNS * INC # I4: 2 # I5: 4,8 => UNS * INC # I4: 2 => UNS * INC # H6: 2 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for H5,I5: 3..:
* INC # I5: 3 # H1: 2,5 => UNS * INC # I5: 3 # I1: 2,5 => UNS * INC # I5: 3 # A3: 2,5 => UNS * INC # I5: 3 # B3: 2,5 => UNS * INC # I5: 3 # I4: 2,5 => UNS * INC # I5: 3 # I4: 8,9 => UNS * INC # I5: 3 # G6: 4,5 => UNS * INC # I5: 3 # H6: 4,5 => UNS * INC # I5: 3 # E5: 4,5 => UNS * INC # I5: 3 # E5: 6,9 => UNS * INC # I5: 3 # H9: 4,5 => UNS * INC # I5: 3 # H9: 3,6 => UNS * INC # I5: 3 # G7: 5,9 => UNS * INC # I5: 3 # G7: 3 => UNS * DIS # I5: 3 # C7: 5,9 => CTR => C7: 1,2,6 * DIS # I5: 3 + C7: 1,2,6 # I4: 5,9 => CTR => I4: 2,8 * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # I1: 2,5 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # I1: 4 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # A3: 2,5 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # B3: 2,5 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # C4: 2,8 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # C4: 1,5,6,9 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # I2: 2,8 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # I2: 4 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # G6: 4,5 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # H6: 4,5 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # E5: 4,5 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # E5: 6,9 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # H9: 4,5 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # H9: 3,6 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # H9: 3,5 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # H9: 4,6 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # A7: 3,5 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # A7: 1,2,6 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # H8: 3,4 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # H9: 3,4 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # D8: 3,4 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 # D8: 2,6,8,9 => UNS * INC # I5: 3 + C7: 1,2,6 + I4: 2,8 => UNS * INC # H5: 3 # H9: 4,6 => UNS * INC # H5: 3 # H9: 5 => UNS * INC # H5: 3 # D8: 4,6 => UNS * INC # H5: 3 # E8: 4,6 => UNS * INC # H5: 3 => UNS * CNT 44 HDP CHAINS / 44 HYP OPENED
Full list of HDP chains traversed for H1,H2: 1..:
* INC # H1: 1 # A3: 2,5 => UNS * INC # H1: 1 # B3: 2,5 => UNS * INC # H1: 1 # I1: 2,5 => UNS * INC # H1: 1 # I1: 3,4 => UNS * INC # H1: 1 # C4: 2,5 => UNS * INC # H1: 1 # C7: 2,5 => UNS * INC # H1: 1 # E2: 2,4 => UNS * INC # H1: 1 # E2: 1,6,9 => UNS * INC # H1: 1 # I1: 2,4 => UNS * INC # H1: 1 # I1: 3,5 => UNS * INC # H1: 1 # E8: 2,4 => UNS * INC # H1: 1 # E8: 6,9 => UNS * INC # H1: 1 # F2: 3,4 => UNS * INC # H1: 1 # F2: 1,6,9 => UNS * INC # H1: 1 # I1: 3,4 => UNS * INC # H1: 1 # I1: 2,5 => UNS * INC # H1: 1 # F9: 3,4 => UNS * INC # H1: 1 # F9: 1,6,8,9 => UNS * INC # H1: 1 # G7: 3,9 => UNS * INC # H1: 1 # G8: 3,9 => UNS * INC # H1: 1 # D7: 3,9 => UNS * INC # H1: 1 # F7: 3,9 => UNS * INC # H1: 1 # I5: 3,9 => UNS * INC # H1: 1 # I5: 4,8 => UNS * INC # H1: 1 => UNS * INC # H2: 1 # B2: 2,6 => UNS * INC # H2: 1 # A3: 2,6 => UNS * INC # H2: 1 # B3: 2,6 => UNS * INC # H2: 1 # E2: 2,6 => UNS * INC # H2: 1 # E2: 4,9 => UNS * INC # H2: 1 # C4: 2,6 => UNS * INC # H2: 1 # C7: 2,6 => UNS * INC # H2: 1 => UNS * CNT 33 HDP CHAINS / 33 HYP OPENED
Full list of HDP chains traversed for G2,I2: 8..:
* INC # G2: 8 # I4: 5,9 => UNS * INC # G2: 8 # I5: 5,9 => UNS * INC # G2: 8 # G6: 5,9 => UNS * INC # G2: 8 # B4: 5,9 => UNS * INC # G2: 8 # C4: 5,9 => UNS * INC # G2: 8 # G7: 5,9 => UNS * INC # G2: 8 # G7: 3 => UNS * INC # G2: 8 # G7: 5,9 => UNS * INC # G2: 8 # G7: 3 => UNS * INC # G2: 8 # C7: 5,9 => UNS * INC # G2: 8 # C7: 1,2,6 => UNS * INC # G2: 8 # I4: 5,9 => UNS * INC # G2: 8 # I5: 5,9 => UNS * INC # G2: 8 # H9: 4,6 => UNS * INC # G2: 8 # H9: 5 => UNS * INC # G2: 8 # D8: 4,6 => UNS * INC # G2: 8 # E8: 4,6 => UNS * INC # G2: 8 => UNS * INC # I2: 8 # H1: 3,4 => UNS * INC # I2: 8 # I1: 3,4 => UNS * INC # I2: 8 # H2: 3,4 => UNS * INC # I2: 8 # F2: 3,4 => UNS * INC # I2: 8 # F2: 1,6,9 => UNS * INC # I2: 8 # G8: 3,4 => UNS * INC # I2: 8 # G8: 9 => UNS * INC # I2: 8 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for F4,F9: 8..:
* INC # F9: 8 # E2: 1,2 => UNS * INC # F9: 8 # D3: 1,2 => UNS * INC # F9: 8 # C1: 1,2 => UNS * INC # F9: 8 # H1: 1,2 => UNS * INC # F9: 8 # B4: 5,6 => UNS * INC # F9: 8 # C4: 5,6 => UNS * INC # F9: 8 # C5: 5,6 => UNS * INC # F9: 8 # E5: 5,6 => UNS * INC # F9: 8 # E5: 4,9 => UNS * INC # F9: 8 # A3: 5,6 => UNS * INC # F9: 8 # A7: 5,6 => UNS * INC # F9: 8 # A9: 5,6 => UNS * INC # F9: 8 => UNS * INC # F4: 8 # I4: 5,9 => UNS * DIS # F4: 8 # I5: 5,9 => CTR => I5: 3,4,8 * INC # F4: 8 + I5: 3,4,8 # G6: 5,9 => UNS * INC # F4: 8 + I5: 3,4,8 # B4: 5,9 => UNS * INC # F4: 8 + I5: 3,4,8 # C4: 5,9 => UNS * INC # F4: 8 + I5: 3,4,8 # G7: 5,9 => UNS * INC # F4: 8 + I5: 3,4,8 # G7: 3 => UNS * INC # F4: 8 + I5: 3,4,8 # I4: 5,9 => UNS * INC # F4: 8 + I5: 3,4,8 # G6: 5,9 => UNS * INC # F4: 8 + I5: 3,4,8 # B4: 5,9 => UNS * INC # F4: 8 + I5: 3,4,8 # C4: 5,9 => UNS * INC # F4: 8 + I5: 3,4,8 # G7: 5,9 => UNS * INC # F4: 8 + I5: 3,4,8 # G7: 3 => UNS * INC # F4: 8 + I5: 3,4,8 # I4: 5,9 => UNS * INC # F4: 8 + I5: 3,4,8 # G6: 5,9 => UNS * INC # F4: 8 + I5: 3,4,8 # B4: 5,9 => UNS * INC # F4: 8 + I5: 3,4,8 # C4: 5,9 => UNS * INC # F4: 8 + I5: 3,4,8 # G7: 5,9 => UNS * INC # F4: 8 + I5: 3,4,8 # G7: 3 => UNS * INC # F4: 8 + I5: 3,4,8 => UNS * CNT 33 HDP CHAINS / 33 HYP OPENED
Full list of HDP chains traversed for E5,E6: 5..:
* INC # E5: 5 # C4: 6,8 => UNS * INC # E5: 5 # C5: 6,8 => UNS * INC # E5: 5 # D5: 6,8 => UNS * INC # E5: 5 # D5: 4,9 => UNS * INC # E5: 5 # A8: 6,8 => UNS * INC # E5: 5 # A9: 6,8 => UNS * INC # E5: 5 # I5: 3,4 => UNS * INC # E5: 5 # I5: 8,9 => UNS * INC # E5: 5 # H1: 3,4 => UNS * INC # E5: 5 # H2: 3,4 => UNS * INC # E5: 5 # H8: 3,4 => UNS * INC # E5: 5 # H9: 3,4 => UNS * INC # E5: 5 => UNS * INC # E6: 5 # H1: 2,4 => UNS * INC # E6: 5 # H2: 2,4 => UNS * INC # E6: 5 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for A8,D8: 8..:
* INC # A8: 8 # B4: 5,6 => UNS * INC # A8: 8 # C4: 5,6 => UNS * INC # A8: 8 # C5: 5,6 => UNS * INC # A8: 8 # E5: 5,6 => UNS * INC # A8: 8 # E5: 4,9 => UNS * INC # A8: 8 # A3: 5,6 => UNS * INC # A8: 8 # A7: 5,6 => UNS * INC # A8: 8 # A9: 5,6 => UNS * INC # A8: 8 => UNS * INC # D8: 8 # I4: 5,9 => UNS * DIS # D8: 8 # I5: 5,9 => CTR => I5: 3,4,8 * INC # D8: 8 + I5: 3,4,8 # G6: 5,9 => UNS * INC # D8: 8 + I5: 3,4,8 # B4: 5,9 => UNS * INC # D8: 8 + I5: 3,4,8 # C4: 5,9 => UNS * INC # D8: 8 + I5: 3,4,8 # G7: 5,9 => UNS * INC # D8: 8 + I5: 3,4,8 # G7: 3 => UNS * INC # D8: 8 + I5: 3,4,8 # I4: 5,9 => UNS * INC # D8: 8 + I5: 3,4,8 # G6: 5,9 => UNS * INC # D8: 8 + I5: 3,4,8 # B4: 5,9 => UNS * INC # D8: 8 + I5: 3,4,8 # C4: 5,9 => UNS * INC # D8: 8 + I5: 3,4,8 # G7: 5,9 => UNS * INC # D8: 8 + I5: 3,4,8 # G7: 3 => UNS * INC # D8: 8 + I5: 3,4,8 # I4: 5,9 => UNS * INC # D8: 8 + I5: 3,4,8 # G6: 5,9 => UNS * INC # D8: 8 + I5: 3,4,8 # B4: 5,9 => UNS * INC # D8: 8 + I5: 3,4,8 # C4: 5,9 => UNS * INC # D8: 8 + I5: 3,4,8 # G7: 5,9 => UNS * INC # D8: 8 + I5: 3,4,8 # G7: 3 => UNS * INC # D8: 8 + I5: 3,4,8 => UNS * CNT 29 HDP CHAINS / 29 HYP OPENED
Full list of HDP chains traversed for H8,H9: 6..:
* INC # H9: 6 # G8: 3,4 => UNS * INC # H9: 6 # G8: 9 => UNS * INC # H9: 6 # H1: 3,4 => UNS * DIS # H9: 6 # H2: 3,4 => CTR => H2: 1,2 * INC # H9: 6 + H2: 1,2 # H5: 3,4 => UNS * INC # H9: 6 + H2: 1,2 # G8: 3,4 => UNS * INC # H9: 6 + H2: 1,2 # G8: 9 => UNS * INC # H9: 6 + H2: 1,2 # H1: 3,4 => UNS * INC # H9: 6 + H2: 1,2 # H5: 3,4 => UNS * INC # H9: 6 + H2: 1,2 # H1: 1,2 => UNS * INC # H9: 6 + H2: 1,2 # H1: 3,4,5 => UNS * INC # H9: 6 + H2: 1,2 # B2: 1,2 => UNS * INC # H9: 6 + H2: 1,2 # C2: 1,2 => UNS * INC # H9: 6 + H2: 1,2 # E2: 1,2 => UNS * INC # H9: 6 + H2: 1,2 # G8: 3,4 => UNS * INC # H9: 6 + H2: 1,2 # G8: 9 => UNS * INC # H9: 6 + H2: 1,2 # H1: 3,4 => UNS * INC # H9: 6 + H2: 1,2 # H5: 3,4 => UNS * INC # H9: 6 + H2: 1,2 => UNS * INC # H8: 6 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for E2,F2: 9..:
* INC # E2: 9 => UNS * INC # F2: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for I4,H6: 2..:
* INC # I4: 2 # C1: 1,2 => UNS * INC # I4: 2 # E1: 1,2 => UNS * INC # I4: 2 # B2: 1,2 => UNS * INC # I4: 2 # C2: 1,2 => UNS * INC # I4: 2 # E2: 1,2 => UNS * INC # I4: 2 # I1: 3,5 => UNS * INC # I4: 2 # I1: 4 => UNS * INC # I4: 2 # A3: 3,5 => UNS * INC # I4: 2 # B3: 3,5 => UNS * INC # I4: 2 # H5: 4,5 => UNS * INC # I4: 2 # G6: 4,5 => UNS * INC # I4: 2 # E6: 4,5 => UNS * INC # I4: 2 # E6: 1,9 => UNS * INC # I4: 2 # H9: 4,5 => UNS * INC # I4: 2 # H9: 3,6 => UNS * INC # I4: 2 # G7: 3,9 => UNS * INC # I4: 2 # G8: 3,9 => UNS * INC # I4: 2 # D7: 3,9 => UNS * INC # I4: 2 # F7: 3,9 => UNS * INC # I4: 2 # I5: 3,9 => UNS * INC # I4: 2 # I5: 4,8 => UNS * DIS # I4: 2 # C1: 1,2 # C2: 1,2 => CTR => C2: 6 * INC # I4: 2 # C1: 1,2 + C2: 6 # A3: 1,2 => UNS * INC # I4: 2 # C1: 1,2 + C2: 6 # B3: 1,2 => UNS * INC # I4: 2 # C1: 1,2 + C2: 6 # C7: 1,2 => UNS * PRF # I4: 2 # C1: 1,2 + C2: 6 # C7: 5 => SOL * STA # I4: 2 # C1: 1,2 + C2: 6 + C7: 5 * CNT 26 HDP CHAINS / 28 HYP OPENED