Analysis of xx-ph-00000285-280-base.sdk
Contents
Original Sudoku
level: very deep
position: ...4...8...7..92......3...52...7.1....19.....76...1...5...9..4...6..29.....8....3 initial
Autosolve
position: ...4...8...7..92......3...52...7.1....19.....76...1...5...9..4...6..29.....8....3 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000012
List of important HDP chains detected for G1,H2: 3..:
* DIS # G1: 3 # A2: 1,6 => CTR => A2: 3,4,8 * CNT 1 HDP CHAINS / 32 HYP OPENED
List of important HDP chains detected for I7,H9: 2..:
* DIS # I7: 2 # B7: 3,8 => CTR => B7: 1,7 * CNT 1 HDP CHAINS / 20 HYP OPENED
List of important HDP chains detected for E2,F3: 8..:
* DIS # E2: 8 # F7: 6,7 => CTR => F7: 3 * DIS # E2: 8 + F7: 3 # F9: 6,7 => CTR => F9: 4,5 * DIS # E2: 8 + F7: 3 + F9: 4,5 # E9: 4,5 => CTR => E9: 1,6 * CNT 3 HDP CHAINS / 48 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Very Deep Constraint Pair Analysis
Time used: 0:00:16.702993
List of important HDP chains detected for D3,D6: 2..:
* DIS # D3: 2 # D4: 3,5 # E2: 1,6 => CTR => E2: 5,8 * PRF # D3: 2 # D4: 3,5 + E2: 5,8 # E1: 5 => SOL * STA # D3: 2 # D4: 3,5 + E2: 5,8 + E1: 5 * CNT 2 HDP CHAINS / 18 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
| ...4...8...7..92......3...52...7.1....19.....76...1...5...9..4...6..29.....8....3 | initial |
| ...4...8...7..92......3...52...7.1....19.....76...1...5...9..4...6..29.....8....3 | autosolve |
Classification
level: very deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) E1,D3: 2.. / E1 = 2 => 0 pairs (_) / D3 = 2 => 2 pairs (_) I7,H9: 2.. / I7 = 2 => 1 pairs (_) / H9 = 2 => 1 pairs (_) D3,D6: 2.. / D3 = 2 => 2 pairs (_) / D6 = 2 => 0 pairs (_) G1,H2: 3.. / G1 = 3 => 1 pairs (_) / H2 = 3 => 1 pairs (_) I2,G3: 4.. / I2 = 4 => 1 pairs (_) / G3 = 4 => 1 pairs (_) E2,F3: 8.. / E2 = 8 => 1 pairs (_) / F3 = 8 => 0 pairs (_) I1,H3: 9.. / I1 = 9 => 0 pairs (_) / H3 = 9 => 0 pairs (_) * DURATION: 0:00:04.431572 START: 05:15:54.377464 END: 05:15:58.809036 2020-10-17 * CP COUNT: (7) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) D3,D6: 2.. / D3 = 2 ==> 2 pairs (_) / D6 = 2 ==> 0 pairs (_) E1,D3: 2.. / E1 = 2 ==> 0 pairs (_) / D3 = 2 ==> 2 pairs (_) I2,G3: 4.. / I2 = 4 ==> 1 pairs (_) / G3 = 4 ==> 1 pairs (_) G1,H2: 3.. / G1 = 3 ==> 1 pairs (_) / H2 = 3 ==> 1 pairs (_) I7,H9: 2.. / I7 = 2 ==> 2 pairs (_) / H9 = 2 ==> 1 pairs (_) E2,F3: 8.. / E2 = 8 ==> 4 pairs (_) / F3 = 8 ==> 0 pairs (_) I1,H3: 9.. / I1 = 9 ==> 0 pairs (_) / H3 = 9 ==> 0 pairs (_) * DURATION: 0:01:06.769899 START: 05:15:58.809814 END: 05:17:05.579713 2020-10-17 * REASONING G1,H2: 3.. * DIS # G1: 3 # A2: 1,6 => CTR => A2: 3,4,8 * CNT 1 HDP CHAINS / 32 HYP OPENED * REASONING I7,H9: 2.. * DIS # I7: 2 # B7: 3,8 => CTR => B7: 1,7 * CNT 1 HDP CHAINS / 20 HYP OPENED * REASONING E2,F3: 8.. * DIS # E2: 8 # F7: 6,7 => CTR => F7: 3 * DIS # E2: 8 + F7: 3 # F9: 6,7 => CTR => F9: 4,5 * DIS # E2: 8 + F7: 3 + F9: 4,5 # E9: 4,5 => CTR => E9: 1,6 * CNT 3 HDP CHAINS / 48 HYP OPENED * DCP COUNT: (7) * INCONCLUSIVE -------------------------------------------------- * VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE) D3,D6: 2.. / D3 = 2 ==> 0 pairs (*) / D6 = 2 => 0 pairs (X) * DURATION: 0:00:16.700508 START: 05:17:05.659938 END: 05:17:22.360446 2020-10-17 * REASONING D3,D6: 2.. * DIS # D3: 2 # D4: 3,5 # E2: 1,6 => CTR => E2: 5,8 * PRF # D3: 2 # D4: 3,5 + E2: 5,8 # E1: 5 => SOL * STA # D3: 2 # D4: 3,5 + E2: 5,8 + E1: 5 * CNT 2 HDP CHAINS / 18 HYP OPENED * VDCP COUNT: (1) * SOLUTION FOUND
Header Info
285;280;elev;23;11.40;11.40;10.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for D3,D6: 2..:
* INC # D3: 2 # D4: 3,5 => UNS * INC # D3: 2 # F4: 3,5 => UNS * INC # D3: 2 # F5: 3,5 => UNS * INC # D3: 2 # C6: 3,5 => UNS * INC # D3: 2 # G6: 3,5 => UNS * INC # D3: 2 # H6: 3,5 => UNS * INC # D3: 2 # D8: 3,5 => UNS * INC # D3: 2 # D8: 1,7 => UNS * INC # D3: 2 # D7: 3,6 => UNS * INC # D3: 2 # D7: 1,7 => UNS * INC # D3: 2 # F4: 3,6 => UNS * INC # D3: 2 # F5: 3,6 => UNS * INC # D3: 2 => UNS * INC # D6: 2 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for E1,D3: 2..:
* INC # D3: 2 # D4: 3,5 => UNS * INC # D3: 2 # F4: 3,5 => UNS * INC # D3: 2 # F5: 3,5 => UNS * INC # D3: 2 # C6: 3,5 => UNS * INC # D3: 2 # G6: 3,5 => UNS * INC # D3: 2 # H6: 3,5 => UNS * INC # D3: 2 # D8: 3,5 => UNS * INC # D3: 2 # D8: 1,7 => UNS * INC # D3: 2 # D7: 3,6 => UNS * INC # D3: 2 # D7: 1,7 => UNS * INC # D3: 2 # F4: 3,6 => UNS * INC # D3: 2 # F5: 3,6 => UNS * INC # D3: 2 => UNS * INC # E1: 2 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for I2,G3: 4..:
* INC # I2: 4 # G1: 6,7 => UNS * INC # I2: 4 # I1: 6,7 => UNS * INC # I2: 4 # H3: 6,7 => UNS * INC # I2: 4 # D3: 6,7 => UNS * INC # I2: 4 # F3: 6,7 => UNS * INC # I2: 4 # G5: 6,7 => UNS * INC # I2: 4 # G7: 6,7 => UNS * INC # I2: 4 # G9: 6,7 => UNS * INC # I2: 4 => UNS * INC # G3: 4 # I1: 1,6 => UNS * INC # G3: 4 # H2: 1,6 => UNS * INC # G3: 4 # H3: 1,6 => UNS * INC # G3: 4 # A2: 1,6 => UNS * INC # G3: 4 # D2: 1,6 => UNS * INC # G3: 4 # E2: 1,6 => UNS * INC # G3: 4 # I7: 1,6 => UNS * INC # G3: 4 # I7: 2,7,8 => UNS * INC # G3: 4 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for G1,H2: 3..:
* INC # G1: 3 # I1: 1,6 => UNS * INC # G1: 3 # I2: 1,6 => UNS * INC # G1: 3 # H3: 1,6 => UNS * DIS # G1: 3 # A2: 1,6 => CTR => A2: 3,4,8 * INC # G1: 3 + A2: 3,4,8 # D2: 1,6 => UNS * INC # G1: 3 + A2: 3,4,8 # E2: 1,6 => UNS * INC # G1: 3 + A2: 3,4,8 # H9: 1,6 => UNS * INC # G1: 3 + A2: 3,4,8 # H9: 2,5,7 => UNS * INC # G1: 3 + A2: 3,4,8 # I1: 1,6 => UNS * INC # G1: 3 + A2: 3,4,8 # I2: 1,6 => UNS * INC # G1: 3 + A2: 3,4,8 # H3: 1,6 => UNS * INC # G1: 3 + A2: 3,4,8 # D2: 1,6 => UNS * INC # G1: 3 + A2: 3,4,8 # E2: 1,6 => UNS * INC # G1: 3 + A2: 3,4,8 # H9: 1,6 => UNS * INC # G1: 3 + A2: 3,4,8 # H9: 2,5,7 => UNS * INC # G1: 3 + A2: 3,4,8 # I1: 1,6 => UNS * INC # G1: 3 + A2: 3,4,8 # I2: 1,6 => UNS * INC # G1: 3 + A2: 3,4,8 # H3: 1,6 => UNS * INC # G1: 3 + A2: 3,4,8 # D2: 1,6 => UNS * INC # G1: 3 + A2: 3,4,8 # E2: 1,6 => UNS * INC # G1: 3 + A2: 3,4,8 # H9: 1,6 => UNS * INC # G1: 3 + A2: 3,4,8 # H9: 2,5,7 => UNS * INC # G1: 3 + A2: 3,4,8 => UNS * INC # H2: 3 # I1: 6,7 => UNS * INC # H2: 3 # G3: 6,7 => UNS * INC # H2: 3 # H3: 6,7 => UNS * INC # H2: 3 # F1: 6,7 => UNS * INC # H2: 3 # F1: 5 => UNS * INC # H2: 3 # G5: 6,7 => UNS * INC # H2: 3 # G7: 6,7 => UNS * INC # H2: 3 # G9: 6,7 => UNS * INC # H2: 3 => UNS * CNT 32 HDP CHAINS / 32 HYP OPENED
Full list of HDP chains traversed for I7,H9: 2..:
* DIS # I7: 2 # B7: 3,8 => CTR => B7: 1,7 * INC # I7: 2 + B7: 1,7 # A8: 3,8 => UNS * INC # I7: 2 + B7: 1,7 # B8: 3,8 => UNS * INC # I7: 2 + B7: 1,7 # C4: 3,8 => UNS * INC # I7: 2 + B7: 1,7 # C6: 3,8 => UNS * INC # I7: 2 + B7: 1,7 # B8: 1,7 => UNS * INC # I7: 2 + B7: 1,7 # B9: 1,7 => UNS * INC # I7: 2 + B7: 1,7 # D7: 1,7 => UNS * INC # I7: 2 + B7: 1,7 # D7: 3,6 => UNS * INC # I7: 2 + B7: 1,7 # A8: 3,8 => UNS * INC # I7: 2 + B7: 1,7 # B8: 3,8 => UNS * INC # I7: 2 + B7: 1,7 # C4: 3,8 => UNS * INC # I7: 2 + B7: 1,7 # C6: 3,8 => UNS * INC # I7: 2 + B7: 1,7 => UNS * INC # H9: 2 # A9: 4,9 => UNS * INC # H9: 2 # B9: 4,9 => UNS * INC # H9: 2 # C3: 4,9 => UNS * INC # H9: 2 # C4: 4,9 => UNS * INC # H9: 2 # C6: 4,9 => UNS * INC # H9: 2 => UNS * CNT 20 HDP CHAINS / 20 HYP OPENED
Full list of HDP chains traversed for E2,F3: 8..:
* INC # E2: 8 # F1: 6,7 => UNS * INC # E2: 8 # D3: 6,7 => UNS * INC # E2: 8 # G3: 6,7 => UNS * INC # E2: 8 # H3: 6,7 => UNS * DIS # E2: 8 # F7: 6,7 => CTR => F7: 3 * DIS # E2: 8 + F7: 3 # F9: 6,7 => CTR => F9: 4,5 * INC # E2: 8 + F7: 3 + F9: 4,5 # F1: 6,7 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 # F1: 5 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 # G3: 6,7 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 # H3: 6,7 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 # F1: 6,7 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 # F1: 5 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 # G3: 6,7 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 # H3: 6,7 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 # B7: 2,8 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 # B7: 1,7 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 # I7: 2,8 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 # I7: 1,6,7 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 # C3: 2,8 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 # C3: 4,9 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 # E8: 4,5 => UNS * DIS # E2: 8 + F7: 3 + F9: 4,5 # E9: 4,5 => CTR => E9: 1,6 * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # E8: 4,5 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # E8: 1 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # F4: 4,5 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # F5: 4,5 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # F1: 6,7 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # F1: 5 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # G3: 6,7 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # H3: 6,7 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # B7: 2,8 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # B7: 1,7 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # I7: 2,8 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # I7: 1,6,7 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # C3: 2,8 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # C3: 4,9 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # D7: 1,6 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # D7: 7 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # H9: 1,6 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # H9: 2,5,7 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # E1: 1,6 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # E1: 2,5 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # E8: 4,5 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # E8: 1 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # F4: 4,5 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 # F5: 4,5 => UNS * INC # E2: 8 + F7: 3 + F9: 4,5 + E9: 1,6 => UNS * INC # F3: 8 => UNS * CNT 48 HDP CHAINS / 48 HYP OPENED
Full list of HDP chains traversed for I1,H3: 9..:
* INC # I1: 9 => UNS * INC # H3: 9 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
A2. Very Deep Constraint Pair Analysis
Full list of HDP chains traversed for D3,D6: 2..:
* INC # D3: 2 # D4: 3,5 => UNS * INC # D3: 2 # F4: 3,5 => UNS * INC # D3: 2 # F5: 3,5 => UNS * INC # D3: 2 # C6: 3,5 => UNS * INC # D3: 2 # G6: 3,5 => UNS * INC # D3: 2 # H6: 3,5 => UNS * INC # D3: 2 # D8: 3,5 => UNS * INC # D3: 2 # D8: 1,7 => UNS * INC # D3: 2 # D7: 3,6 => UNS * INC # D3: 2 # D7: 1,7 => UNS * INC # D3: 2 # F4: 3,6 => UNS * INC # D3: 2 # F5: 3,6 => UNS * INC # D3: 2 # D4: 3,5 # E1: 1,6 => UNS * DIS # D3: 2 # D4: 3,5 # E2: 1,6 => CTR => E2: 5,8 * INC # D3: 2 # D4: 3,5 + E2: 5,8 # E1: 1,6 => UNS * PRF # D3: 2 # D4: 3,5 + E2: 5,8 # E1: 5 => SOL * STA # D3: 2 # D4: 3,5 + E2: 5,8 + E1: 5 * CNT 16 HDP CHAINS / 18 HYP OPENED