Analysis of xx-ph-01314403-13_12-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..5...9..8...4..6..976...98....8.............36.2..6.9....5..7..8...2.8..1 initial
Autosolve
position: 98.7..6..5.6.9..8...4..6..976...98....86...9........3682..6.9....59.7..8...2.8..1 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for B2,B3: 7..:
* PRF # B2: 7 # E3: 1,3 => SOL * STA # B2: 7 + E3: 1,3 * CNT 1 HDP CHAINS / 5 HYP OPENED
See Appendix: Full HDP Chains for full list of HDP chains.
Details
This sudoku is deep. Here is some information that may be helpful on how to proceed.
Positions
| 98.7..6..5...9..8...4..6..976...98....8.............36.2..6.9....5..7..8...2.8..1 | initial |
| 98.7..6..5.6.9..8...4..6..976...98....86...9........3682..6.9....59.7..8...2.8..1 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) C1,A3: 2.. / C1 = 2 => 3 pairs (_) / A3 = 2 => 2 pairs (_) G8,H8: 2.. / G8 = 2 => 1 pairs (_) / H8 = 2 => 2 pairs (_) B5,B6: 5.. / B5 = 5 => 0 pairs (_) / B6 = 5 => 1 pairs (_) A8,A9: 6.. / A8 = 6 => 2 pairs (_) / A9 = 6 => 0 pairs (_) H8,H9: 6.. / H8 = 6 => 0 pairs (_) / H9 = 6 => 2 pairs (_) A8,H8: 6.. / A8 = 6 => 2 pairs (_) / H8 = 6 => 0 pairs (_) A9,H9: 6.. / A9 = 6 => 0 pairs (_) / H9 = 6 => 2 pairs (_) B2,B3: 7.. / B2 = 7 => 1 pairs (_) / B3 = 7 => 1 pairs (_) E5,E6: 7.. / E5 = 7 => 0 pairs (_) / E6 = 7 => 0 pairs (_) C7,C9: 7.. / C7 = 7 => 3 pairs (_) / C9 = 7 => 1 pairs (_) E6,G6: 7.. / E6 = 7 => 0 pairs (_) / G6 = 7 => 0 pairs (_) D3,E3: 8.. / D3 = 8 => 0 pairs (_) / E3 = 8 => 0 pairs (_) D6,E6: 8.. / D6 = 8 => 0 pairs (_) / E6 = 8 => 0 pairs (_) D3,D6: 8.. / D3 = 8 => 0 pairs (_) / D6 = 8 => 0 pairs (_) E3,E6: 8.. / E3 = 8 => 0 pairs (_) / E6 = 8 => 0 pairs (_) B6,C6: 9.. / B6 = 9 => 5 pairs (_) / C6 = 9 => 1 pairs (_) B9,C9: 9.. / B9 = 9 => 1 pairs (_) / C9 = 9 => 5 pairs (_) B6,B9: 9.. / B6 = 9 => 5 pairs (_) / B9 = 9 => 1 pairs (_) C6,C9: 9.. / C6 = 9 => 1 pairs (_) / C9 = 9 => 5 pairs (_) * DURATION: 0:00:14.734735 START: 04:34:40.948220 END: 04:34:55.682955 2021-01-13 * CP COUNT: (19) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) C6,C9: 9.. / C6 = 9 ==> 1 pairs (_) / C9 = 9 ==> 5 pairs (_) B6,B9: 9.. / B6 = 9 ==> 5 pairs (_) / B9 = 9 ==> 1 pairs (_) B9,C9: 9.. / B9 = 9 ==> 1 pairs (_) / C9 = 9 ==> 5 pairs (_) B6,C6: 9.. / B6 = 9 ==> 5 pairs (_) / C6 = 9 ==> 1 pairs (_) C1,A3: 2.. / C1 = 2 ==> 3 pairs (_) / A3 = 2 ==> 2 pairs (_) C7,C9: 7.. / C7 = 7 ==> 3 pairs (_) / C9 = 7 ==> 1 pairs (_) G8,H8: 2.. / G8 = 2 ==> 1 pairs (_) / H8 = 2 ==> 2 pairs (_) A9,H9: 6.. / A9 = 6 ==> 0 pairs (_) / H9 = 6 ==> 2 pairs (_) A8,H8: 6.. / A8 = 6 ==> 2 pairs (_) / H8 = 6 ==> 0 pairs (_) H8,H9: 6.. / H8 = 6 ==> 0 pairs (_) / H9 = 6 ==> 2 pairs (_) A8,A9: 6.. / A8 = 6 ==> 2 pairs (_) / A9 = 6 ==> 0 pairs (_) B2,B3: 7.. / B2 = 7 ==> 0 pairs (*) / B3 = 7 => 0 pairs (X) * DURATION: 0:02:31.283602 START: 04:34:55.683576 END: 04:37:26.967178 2021-01-13 * REASONING B2,B3: 7.. * PRF # B2: 7 # E3: 1,3 => SOL * STA # B2: 7 + E3: 1,3 * CNT 1 HDP CHAINS / 5 HYP OPENED * DCP COUNT: (12) * SOLUTION FOUND
Header Info
1314403;13_12;GP;26;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for C6,C9: 9..:
* INC # C9: 9 # C4: 1,2 => UNS * INC # C9: 9 # A5: 1,2 => UNS * INC # C9: 9 # A6: 1,2 => UNS * INC # C9: 9 # E6: 1,2 => UNS * INC # C9: 9 # F6: 1,2 => UNS * INC # C9: 9 # G6: 1,2 => UNS * INC # C9: 9 # C1: 1,2 => UNS * INC # C9: 9 # C1: 3 => UNS * INC # C9: 9 # A8: 3,6 => UNS * INC # C9: 9 # A8: 1 => UNS * INC # C9: 9 # B8: 3,4 => UNS * INC # C9: 9 # B8: 1 => UNS * INC # C9: 9 # E9: 3,4 => UNS * INC # C9: 9 # G9: 3,4 => UNS * INC # C9: 9 # D7: 3,4 => UNS * INC # C9: 9 # F7: 3,4 => UNS * INC # C9: 9 # E9: 3,4 => UNS * INC # C9: 9 # B8: 3,4 => UNS * INC # C9: 9 # G8: 3,4 => UNS * INC # C9: 9 # E1: 3,4 => UNS * INC # C9: 9 # E4: 3,4 => UNS * INC # C9: 9 # E5: 3,4 => UNS * INC # C9: 9 # I7: 4,5 => UNS * INC # C9: 9 # G9: 4,5 => UNS * INC # C9: 9 # H9: 4,5 => UNS * INC # C9: 9 # D7: 4,5 => UNS * INC # C9: 9 # F7: 4,5 => UNS * INC # C9: 9 # H1: 4,5 => UNS * INC # C9: 9 # H4: 4,5 => UNS * INC # C9: 9 => UNS * INC # C6: 9 # C7: 3,7 => UNS * INC # C6: 9 # C7: 1 => UNS * INC # C6: 9 # G9: 3,7 => UNS * INC # C6: 9 # G9: 4,5 => UNS * INC # C6: 9 => UNS * CNT 35 HDP CHAINS / 35 HYP OPENED
Full list of HDP chains traversed for B6,B9: 9..:
* INC # B6: 9 # C4: 1,2 => UNS * INC # B6: 9 # A5: 1,2 => UNS * INC # B6: 9 # A6: 1,2 => UNS * INC # B6: 9 # E6: 1,2 => UNS * INC # B6: 9 # F6: 1,2 => UNS * INC # B6: 9 # G6: 1,2 => UNS * INC # B6: 9 # C1: 1,2 => UNS * INC # B6: 9 # C1: 3 => UNS * INC # B6: 9 # A8: 3,6 => UNS * INC # B6: 9 # A8: 1 => UNS * INC # B6: 9 # B8: 3,4 => UNS * INC # B6: 9 # B8: 1 => UNS * INC # B6: 9 # E9: 3,4 => UNS * INC # B6: 9 # G9: 3,4 => UNS * INC # B6: 9 # D7: 3,4 => UNS * INC # B6: 9 # F7: 3,4 => UNS * INC # B6: 9 # E9: 3,4 => UNS * INC # B6: 9 # B8: 3,4 => UNS * INC # B6: 9 # G8: 3,4 => UNS * INC # B6: 9 # E1: 3,4 => UNS * INC # B6: 9 # E4: 3,4 => UNS * INC # B6: 9 # E5: 3,4 => UNS * INC # B6: 9 # I7: 4,5 => UNS * INC # B6: 9 # G9: 4,5 => UNS * INC # B6: 9 # H9: 4,5 => UNS * INC # B6: 9 # D7: 4,5 => UNS * INC # B6: 9 # F7: 4,5 => UNS * INC # B6: 9 # H1: 4,5 => UNS * INC # B6: 9 # H4: 4,5 => UNS * INC # B6: 9 => UNS * INC # B9: 9 # C7: 3,7 => UNS * INC # B9: 9 # C7: 1 => UNS * INC # B9: 9 # G9: 3,7 => UNS * INC # B9: 9 # G9: 4,5 => UNS * INC # B9: 9 => UNS * CNT 35 HDP CHAINS / 35 HYP OPENED
Full list of HDP chains traversed for B9,C9: 9..:
* INC # C9: 9 # C4: 1,2 => UNS * INC # C9: 9 # A5: 1,2 => UNS * INC # C9: 9 # A6: 1,2 => UNS * INC # C9: 9 # E6: 1,2 => UNS * INC # C9: 9 # F6: 1,2 => UNS * INC # C9: 9 # G6: 1,2 => UNS * INC # C9: 9 # C1: 1,2 => UNS * INC # C9: 9 # C1: 3 => UNS * INC # C9: 9 # A8: 3,6 => UNS * INC # C9: 9 # A8: 1 => UNS * INC # C9: 9 # B8: 3,4 => UNS * INC # C9: 9 # B8: 1 => UNS * INC # C9: 9 # E9: 3,4 => UNS * INC # C9: 9 # G9: 3,4 => UNS * INC # C9: 9 # D7: 3,4 => UNS * INC # C9: 9 # F7: 3,4 => UNS * INC # C9: 9 # E9: 3,4 => UNS * INC # C9: 9 # B8: 3,4 => UNS * INC # C9: 9 # G8: 3,4 => UNS * INC # C9: 9 # E1: 3,4 => UNS * INC # C9: 9 # E4: 3,4 => UNS * INC # C9: 9 # E5: 3,4 => UNS * INC # C9: 9 # I7: 4,5 => UNS * INC # C9: 9 # G9: 4,5 => UNS * INC # C9: 9 # H9: 4,5 => UNS * INC # C9: 9 # D7: 4,5 => UNS * INC # C9: 9 # F7: 4,5 => UNS * INC # C9: 9 # H1: 4,5 => UNS * INC # C9: 9 # H4: 4,5 => UNS * INC # C9: 9 => UNS * INC # B9: 9 # C7: 3,7 => UNS * INC # B9: 9 # C7: 1 => UNS * INC # B9: 9 # G9: 3,7 => UNS * INC # B9: 9 # G9: 4,5 => UNS * INC # B9: 9 => UNS * CNT 35 HDP CHAINS / 35 HYP OPENED
Full list of HDP chains traversed for B6,C6: 9..:
* INC # B6: 9 # C4: 1,2 => UNS * INC # B6: 9 # A5: 1,2 => UNS * INC # B6: 9 # A6: 1,2 => UNS * INC # B6: 9 # E6: 1,2 => UNS * INC # B6: 9 # F6: 1,2 => UNS * INC # B6: 9 # G6: 1,2 => UNS * INC # B6: 9 # C1: 1,2 => UNS * INC # B6: 9 # C1: 3 => UNS * INC # B6: 9 # A8: 3,6 => UNS * INC # B6: 9 # A8: 1 => UNS * INC # B6: 9 # B8: 3,4 => UNS * INC # B6: 9 # B8: 1 => UNS * INC # B6: 9 # E9: 3,4 => UNS * INC # B6: 9 # G9: 3,4 => UNS * INC # B6: 9 # D7: 3,4 => UNS * INC # B6: 9 # F7: 3,4 => UNS * INC # B6: 9 # E9: 3,4 => UNS * INC # B6: 9 # B8: 3,4 => UNS * INC # B6: 9 # G8: 3,4 => UNS * INC # B6: 9 # E1: 3,4 => UNS * INC # B6: 9 # E4: 3,4 => UNS * INC # B6: 9 # E5: 3,4 => UNS * INC # B6: 9 # I7: 4,5 => UNS * INC # B6: 9 # G9: 4,5 => UNS * INC # B6: 9 # H9: 4,5 => UNS * INC # B6: 9 # D7: 4,5 => UNS * INC # B6: 9 # F7: 4,5 => UNS * INC # B6: 9 # H1: 4,5 => UNS * INC # B6: 9 # H4: 4,5 => UNS * INC # B6: 9 => UNS * INC # C6: 9 # C7: 3,7 => UNS * INC # C6: 9 # C7: 1 => UNS * INC # C6: 9 # G9: 3,7 => UNS * INC # C6: 9 # G9: 4,5 => UNS * INC # C6: 9 => UNS * CNT 35 HDP CHAINS / 35 HYP OPENED
Full list of HDP chains traversed for C1,A3: 2..:
* INC # C1: 2 # B2: 1,3 => UNS * INC # C1: 2 # B3: 1,3 => UNS * INC # C1: 2 # D3: 1,3 => UNS * INC # C1: 2 # E3: 1,3 => UNS * INC # C1: 2 # G3: 1,3 => UNS * INC # C1: 2 # A5: 1,3 => UNS * INC # C1: 2 # A8: 1,3 => UNS * INC # C1: 2 # A5: 1,3 => UNS * INC # C1: 2 # B5: 1,3 => UNS * INC # C1: 2 # D4: 1,3 => UNS * INC # C1: 2 # E4: 1,3 => UNS * INC # C1: 2 # C7: 1,3 => UNS * INC # C1: 2 # C7: 7 => UNS * INC # C1: 2 # B6: 1,9 => UNS * INC # C1: 2 # B6: 4,5 => UNS * INC # C1: 2 => UNS * INC # A3: 2 # B2: 1,3 => UNS * INC # A3: 2 # B3: 1,3 => UNS * INC # A3: 2 # E1: 1,3 => UNS * INC # A3: 2 # F1: 1,3 => UNS * INC # A3: 2 # C4: 1,3 => UNS * INC # A3: 2 # C7: 1,3 => UNS * INC # A3: 2 # A5: 1,4 => UNS * INC # A3: 2 # B5: 1,4 => UNS * INC # A3: 2 # B6: 1,4 => UNS * INC # A3: 2 # D6: 1,4 => UNS * INC # A3: 2 # E6: 1,4 => UNS * INC # A3: 2 # F6: 1,4 => UNS * INC # A3: 2 # G6: 1,4 => UNS * INC # A3: 2 # A8: 1,4 => UNS * INC # A3: 2 # A8: 3,6 => UNS * INC # A3: 2 => UNS * CNT 32 HDP CHAINS / 32 HYP OPENED
Full list of HDP chains traversed for C7,C9: 7..:
* INC # C7: 7 # B9: 3,9 => UNS * INC # C7: 7 # B9: 4 => UNS * INC # C7: 7 # D7: 3,4 => UNS * INC # C7: 7 # F7: 3,4 => UNS * INC # C7: 7 # E9: 3,4 => UNS * INC # C7: 7 # A8: 3,4 => UNS * INC # C7: 7 # B8: 3,4 => UNS * INC # C7: 7 # G8: 3,4 => UNS * INC # C7: 7 # E1: 3,4 => UNS * INC # C7: 7 # E4: 3,4 => UNS * INC # C7: 7 # E5: 3,4 => UNS * INC # C7: 7 # I7: 4,5 => UNS * INC # C7: 7 # G9: 4,5 => UNS * INC # C7: 7 # H9: 4,5 => UNS * INC # C7: 7 # D7: 4,5 => UNS * INC # C7: 7 # F7: 4,5 => UNS * INC # C7: 7 # H1: 4,5 => UNS * INC # C7: 7 # H4: 4,5 => UNS * INC # C7: 7 => UNS * INC # C9: 7 # A8: 1,3 => UNS * INC # C9: 7 # B8: 1,3 => UNS * INC # C9: 7 # D7: 1,3 => UNS * INC # C9: 7 # F7: 1,3 => UNS * INC # C9: 7 # C1: 1,3 => UNS * INC # C9: 7 # C4: 1,3 => UNS * INC # C9: 7 => UNS * CNT 26 HDP CHAINS / 26 HYP OPENED
Full list of HDP chains traversed for G8,H8: 2..:
* INC # H8: 2 # B8: 3,4 => UNS * INC # H8: 2 # B9: 3,4 => UNS * INC # H8: 2 # E9: 3,4 => UNS * INC # H8: 2 # G9: 3,4 => UNS * INC # H8: 2 # A5: 3,4 => UNS * INC # H8: 2 # A5: 1,2 => UNS * INC # H8: 2 # I7: 3,4 => UNS * INC # H8: 2 # G9: 3,4 => UNS * INC # H8: 2 # B8: 3,4 => UNS * INC # H8: 2 # E8: 3,4 => UNS * INC # H8: 2 # G2: 3,4 => UNS * INC # H8: 2 # G2: 1,2,7 => UNS * INC # H8: 2 => UNS * INC # G8: 2 # H9: 4,6 => UNS * INC # G8: 2 # H9: 5,7 => UNS * INC # G8: 2 # A8: 4,6 => UNS * INC # G8: 2 # A8: 1,3 => UNS * INC # G8: 2 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for A9,H9: 6..:
* INC # H9: 6 # B8: 3,4 => UNS * INC # H9: 6 # B9: 3,4 => UNS * INC # H9: 6 # E9: 3,4 => UNS * INC # H9: 6 # G9: 3,4 => UNS * INC # H9: 6 # A5: 3,4 => UNS * INC # H9: 6 # A5: 1,2 => UNS * INC # H9: 6 # G8: 2,4 => UNS * INC # H9: 6 # G8: 3 => UNS * INC # H9: 6 # H1: 2,4 => UNS * INC # H9: 6 # H4: 2,4 => UNS * INC # H9: 6 => UNS * INC # A9: 6 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for A8,H8: 6..:
* INC # A8: 6 # B8: 3,4 => UNS * INC # A8: 6 # B9: 3,4 => UNS * INC # A8: 6 # E9: 3,4 => UNS * INC # A8: 6 # G9: 3,4 => UNS * INC # A8: 6 # A5: 3,4 => UNS * INC # A8: 6 # A5: 1,2 => UNS * INC # A8: 6 # G8: 2,4 => UNS * INC # A8: 6 # G8: 3 => UNS * INC # A8: 6 # H1: 2,4 => UNS * INC # A8: 6 # H4: 2,4 => UNS * INC # A8: 6 => UNS * INC # H8: 6 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for H8,H9: 6..:
* INC # H9: 6 # B8: 3,4 => UNS * INC # H9: 6 # B9: 3,4 => UNS * INC # H9: 6 # E9: 3,4 => UNS * INC # H9: 6 # G9: 3,4 => UNS * INC # H9: 6 # A5: 3,4 => UNS * INC # H9: 6 # A5: 1,2 => UNS * INC # H9: 6 # G8: 2,4 => UNS * INC # H9: 6 # G8: 3 => UNS * INC # H9: 6 # H1: 2,4 => UNS * INC # H9: 6 # H4: 2,4 => UNS * INC # H9: 6 => UNS * INC # H8: 6 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for A8,A9: 6..:
* INC # A8: 6 # B8: 3,4 => UNS * INC # A8: 6 # B9: 3,4 => UNS * INC # A8: 6 # E9: 3,4 => UNS * INC # A8: 6 # G9: 3,4 => UNS * INC # A8: 6 # A5: 3,4 => UNS * INC # A8: 6 # A5: 1,2 => UNS * INC # A8: 6 # G8: 2,4 => UNS * INC # A8: 6 # G8: 3 => UNS * INC # A8: 6 # H1: 2,4 => UNS * INC # A8: 6 # H4: 2,4 => UNS * INC # A8: 6 => UNS * INC # A9: 6 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for B2,B3: 7..:
* INC # B2: 7 # C1: 1,3 => UNS * INC # B2: 7 # A3: 1,3 => UNS * INC # B2: 7 # D3: 1,3 => UNS * PRF # B2: 7 # E3: 1,3 => SOL * STA # B2: 7 + E3: 1,3 * CNT 4 HDP CHAINS / 5 HYP OPENED