Analysis of xx-ph-00000926-L62-base.sdk
Contents
Original Sudoku
level: deep
position: ..3.5.7.......9...8..2....5.15...4...3..7..5.9.......6...6.......1..8..2.4..1.3.. initial
Autosolve
position: ..3.5.7.......9...8..2....5.15...4...3..7..5.9.......6...6.......1..8..2.4..1.3.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000012
List of important HDP chains detected for A2,B2: 5..:
* DIS # A2: 5 # H1: 4,8 => CTR => H1: 2,6,9 * DIS # A2: 5 + H1: 2,6,9 # D6: 4,8 => CTR => D6: 1,3,5 * DIS # A2: 5 + H1: 2,6,9 + D6: 1,3,5 # E2: 3,6 => CTR => E2: 4,8 * DIS # A2: 5 + H1: 2,6,9 + D6: 1,3,5 + E2: 4,8 # E7: 4,9 => CTR => E7: 2 * DIS # A2: 5 + H1: 2,6,9 + D6: 1,3,5 + E2: 4,8 + E7: 2 => CTR => A2: 1,2,4,6,7 * STA A2: 1,2,4,6,7 * CNT 5 HDP CHAINS / 12 HYP OPENED
List of important HDP chains detected for A1,A2: 1..:
* DIS # A1: 1 # D6: 4,8 => CTR => D6: 1,3,5 * CNT 1 HDP CHAINS / 42 HYP OPENED
List of important HDP chains detected for D2,F3: 7..:
* DIS # F3: 7 # H3: 6,9 => CTR => H3: 1,3,4 * CNT 1 HDP CHAINS / 36 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
| ..3.5.7.......9...8..2....5.15...4...3..7..5.9.......6...6.......1..8..2.4..1.3.. | initial |
| ..3.5.7.......9...8..2....5.15...4...3..7..5.9.......6...6.......1..8..2.4..1.3.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) A1,A2: 1.. / A1 = 1 => 5 pairs (_) / A2 = 1 => 0 pairs (_) A7,A8: 3.. / A7 = 3 => 0 pairs (_) / A8 = 3 => 1 pairs (_) I2,I4: 3.. / I2 = 3 => 0 pairs (_) / I4 = 3 => 2 pairs (_) A2,B2: 5.. / A2 = 5 => 5 pairs (_) / B2 = 5 => 0 pairs (_) D6,F6: 5.. / D6 = 5 => 1 pairs (_) / F6 = 5 => 1 pairs (_) G7,G8: 5.. / G7 = 5 => 1 pairs (_) / G8 = 5 => 0 pairs (_) D2,F3: 7.. / D2 = 7 => 1 pairs (_) / F3 = 7 => 2 pairs (_) B6,B7: 8.. / B6 = 8 => 1 pairs (_) / B7 = 8 => 1 pairs (_) * DURATION: 0:00:05.669338 START: 08:02:43.614164 END: 08:02:49.283502 2020-11-23 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) A2,B2: 5.. / A2 = 5 ==> 0 pairs (X) / B2 = 5 => 0 pairs (_) A1,A2: 1.. / A1 = 1 ==> 5 pairs (_) / A2 = 1 ==> 0 pairs (_) D2,F3: 7.. / D2 = 7 ==> 1 pairs (_) / F3 = 7 ==> 2 pairs (_) I2,I4: 3.. / I2 = 3 ==> 0 pairs (_) / I4 = 3 ==> 2 pairs (_) B6,B7: 8.. / B6 = 8 ==> 1 pairs (_) / B7 = 8 ==> 1 pairs (_) D6,F6: 5.. / D6 = 5 ==> 1 pairs (_) / F6 = 5 ==> 1 pairs (_) G7,G8: 5.. / G7 = 5 ==> 1 pairs (_) / G8 = 5 ==> 0 pairs (_) A7,A8: 3.. / A7 = 3 ==> 0 pairs (_) / A8 = 3 ==> 1 pairs (_) * DURATION: 0:01:17.164598 START: 08:02:49.284321 END: 08:04:06.448919 2020-11-23 * REASONING A2,B2: 5.. * DIS # A2: 5 # H1: 4,8 => CTR => H1: 2,6,9 * DIS # A2: 5 + H1: 2,6,9 # D6: 4,8 => CTR => D6: 1,3,5 * DIS # A2: 5 + H1: 2,6,9 + D6: 1,3,5 # E2: 3,6 => CTR => E2: 4,8 * DIS # A2: 5 + H1: 2,6,9 + D6: 1,3,5 + E2: 4,8 # E7: 4,9 => CTR => E7: 2 * DIS # A2: 5 + H1: 2,6,9 + D6: 1,3,5 + E2: 4,8 + E7: 2 => CTR => A2: 1,2,4,6,7 * STA A2: 1,2,4,6,7 * CNT 5 HDP CHAINS / 12 HYP OPENED * REASONING A1,A2: 1.. * DIS # A1: 1 # D6: 4,8 => CTR => D6: 1,3,5 * CNT 1 HDP CHAINS / 42 HYP OPENED * REASONING D2,F3: 7.. * DIS # F3: 7 # H3: 6,9 => CTR => H3: 1,3,4 * CNT 1 HDP CHAINS / 36 HYP OPENED * DCP COUNT: (8) * CLUE FOUND
Header Info
926;L62;elev;22;11.30;11.30;7.90
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for A2,B2: 5..:
* INC # A2: 5 # E2: 4,8 => UNS * INC # A2: 5 # E2: 3,6 => UNS * DIS # A2: 5 # H1: 4,8 => CTR => H1: 2,6,9 * INC # A2: 5 + H1: 2,6,9 # I1: 4,8 => UNS * INC # A2: 5 + H1: 2,6,9 # I1: 4,8 => UNS * INC # A2: 5 + H1: 2,6,9 # I1: 9 => UNS * DIS # A2: 5 + H1: 2,6,9 # D6: 4,8 => CTR => D6: 1,3,5 * INC # A2: 5 + H1: 2,6,9 + D6: 1,3,5 # E2: 4,8 => UNS * DIS # A2: 5 + H1: 2,6,9 + D6: 1,3,5 # E2: 3,6 => CTR => E2: 4,8 * DIS # A2: 5 + H1: 2,6,9 + D6: 1,3,5 + E2: 4,8 # E7: 4,9 => CTR => E7: 2 * DIS # A2: 5 + H1: 2,6,9 + D6: 1,3,5 + E2: 4,8 + E7: 2 => CTR => A2: 1,2,4,6,7 * INC A2: 1,2,4,6,7 # B2: 5 => UNS * STA A2: 1,2,4,6,7 * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for A1,A2: 1..:
* INC # A1: 1 # E2: 4,8 => UNS * INC # A1: 1 # E2: 3,6 => UNS * INC # A1: 1 # H1: 4,8 => UNS * INC # A1: 1 # I1: 4,8 => UNS * INC # A1: 1 # D5: 4,8 => UNS * DIS # A1: 1 # D6: 4,8 => CTR => D6: 1,3,5 * INC # A1: 1 + D6: 1,3,5 # D5: 4,8 => UNS * INC # A1: 1 + D6: 1,3,5 # D5: 1,9 => UNS * INC # A1: 1 + D6: 1,3,5 # E2: 4,8 => UNS * INC # A1: 1 + D6: 1,3,5 # E2: 3,6 => UNS * INC # A1: 1 + D6: 1,3,5 # H1: 4,8 => UNS * INC # A1: 1 + D6: 1,3,5 # I1: 4,8 => UNS * INC # A1: 1 + D6: 1,3,5 # D5: 4,8 => UNS * INC # A1: 1 + D6: 1,3,5 # D5: 1,9 => UNS * INC # A1: 1 + D6: 1,3,5 # E2: 4,6 => UNS * INC # A1: 1 + D6: 1,3,5 # E3: 4,6 => UNS * INC # A1: 1 + D6: 1,3,5 # H1: 4,6 => UNS * INC # A1: 1 + D6: 1,3,5 # H1: 2,8,9 => UNS * INC # A1: 1 + D6: 1,3,5 # F5: 4,6 => UNS * INC # A1: 1 + D6: 1,3,5 # F5: 1,2 => UNS * INC # A1: 1 + D6: 1,3,5 # E7: 4,9 => UNS * INC # A1: 1 + D6: 1,3,5 # D8: 4,9 => UNS * INC # A1: 1 + D6: 1,3,5 # H8: 4,9 => UNS * INC # A1: 1 + D6: 1,3,5 # H8: 6,7 => UNS * INC # A1: 1 + D6: 1,3,5 # E2: 4,8 => UNS * INC # A1: 1 + D6: 1,3,5 # E2: 3,6 => UNS * INC # A1: 1 + D6: 1,3,5 # H1: 4,8 => UNS * INC # A1: 1 + D6: 1,3,5 # I1: 4,8 => UNS * INC # A1: 1 + D6: 1,3,5 # D5: 4,8 => UNS * INC # A1: 1 + D6: 1,3,5 # D5: 1,9 => UNS * INC # A1: 1 + D6: 1,3,5 # E2: 4,6 => UNS * INC # A1: 1 + D6: 1,3,5 # E3: 4,6 => UNS * INC # A1: 1 + D6: 1,3,5 # H1: 4,6 => UNS * INC # A1: 1 + D6: 1,3,5 # H1: 2,8,9 => UNS * INC # A1: 1 + D6: 1,3,5 # F5: 4,6 => UNS * INC # A1: 1 + D6: 1,3,5 # F5: 1,2 => UNS * INC # A1: 1 + D6: 1,3,5 # E7: 4,9 => UNS * INC # A1: 1 + D6: 1,3,5 # D8: 4,9 => UNS * INC # A1: 1 + D6: 1,3,5 # H8: 4,9 => UNS * INC # A1: 1 + D6: 1,3,5 # H8: 6,7 => UNS * INC # A1: 1 + D6: 1,3,5 => UNS * INC # A2: 1 => UNS * CNT 42 HDP CHAINS / 42 HYP OPENED
Full list of HDP chains traversed for D2,F3: 7..:
* INC # F3: 7 # B1: 6,9 => UNS * INC # F3: 7 # C3: 6,9 => UNS * INC # F3: 7 # G3: 6,9 => UNS * DIS # F3: 7 # H3: 6,9 => CTR => H3: 1,3,4 * INC # F3: 7 + H3: 1,3,4 # G3: 6,9 => UNS * INC # F3: 7 + H3: 1,3,4 # G3: 1 => UNS * INC # F3: 7 + H3: 1,3,4 # B8: 6,9 => UNS * INC # F3: 7 + H3: 1,3,4 # B8: 5,7 => UNS * INC # F3: 7 + H3: 1,3,4 # B1: 6,9 => UNS * INC # F3: 7 + H3: 1,3,4 # C3: 6,9 => UNS * INC # F3: 7 + H3: 1,3,4 # G3: 6,9 => UNS * INC # F3: 7 + H3: 1,3,4 # G3: 1 => UNS * INC # F3: 7 + H3: 1,3,4 # B8: 6,9 => UNS * INC # F3: 7 + H3: 1,3,4 # B8: 5,7 => UNS * INC # F3: 7 + H3: 1,3,4 # F7: 2,5 => UNS * INC # F3: 7 + H3: 1,3,4 # F7: 3,4 => UNS * INC # F3: 7 + H3: 1,3,4 # A9: 2,5 => UNS * INC # F3: 7 + H3: 1,3,4 # A9: 6,7 => UNS * INC # F3: 7 + H3: 1,3,4 # F6: 2,5 => UNS * INC # F3: 7 + H3: 1,3,4 # F6: 1,3,4 => UNS * INC # F3: 7 + H3: 1,3,4 # B1: 6,9 => UNS * INC # F3: 7 + H3: 1,3,4 # C3: 6,9 => UNS * INC # F3: 7 + H3: 1,3,4 # G3: 6,9 => UNS * INC # F3: 7 + H3: 1,3,4 # G3: 1 => UNS * INC # F3: 7 + H3: 1,3,4 # B8: 6,9 => UNS * INC # F3: 7 + H3: 1,3,4 # B8: 5,7 => UNS * INC # F3: 7 + H3: 1,3,4 # F7: 2,5 => UNS * INC # F3: 7 + H3: 1,3,4 # F7: 3,4 => UNS * INC # F3: 7 + H3: 1,3,4 # A9: 2,5 => UNS * INC # F3: 7 + H3: 1,3,4 # A9: 6,7 => UNS * INC # F3: 7 + H3: 1,3,4 # F6: 2,5 => UNS * INC # F3: 7 + H3: 1,3,4 # F6: 1,3,4 => UNS * INC # F3: 7 + H3: 1,3,4 => UNS * INC # D2: 7 # D8: 5,9 => UNS * INC # D2: 7 # D8: 3,4 => UNS * INC # D2: 7 => UNS * CNT 36 HDP CHAINS / 36 HYP OPENED
Full list of HDP chains traversed for I2,I4: 3..:
* INC # I4: 3 # E4: 8,9 => UNS * INC # I4: 3 # D5: 8,9 => UNS * INC # I4: 3 # H4: 8,9 => UNS * INC # I4: 3 # H4: 2,7 => UNS * INC # I4: 3 # E4: 2,6 => UNS * INC # I4: 3 # F5: 2,6 => UNS * INC # I4: 3 # A4: 2,6 => UNS * INC # I4: 3 # A4: 7 => UNS * INC # I4: 3 => UNS * INC # I2: 3 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for B6,B7: 8..:
* INC # B6: 8 # G5: 1,2 => UNS * INC # B6: 8 # H6: 1,2 => UNS * INC # B6: 8 # F6: 1,2 => UNS * INC # B6: 8 # F6: 3,4,5 => UNS * INC # B6: 8 # G2: 1,2 => UNS * INC # B6: 8 # G2: 6,8 => UNS * INC # B6: 8 => UNS * INC # B7: 8 # A4: 2,7 => UNS * INC # B7: 8 # C6: 2,7 => UNS * INC # B7: 8 # H6: 2,7 => UNS * INC # B7: 8 # H6: 1,3,8 => UNS * INC # B7: 8 # B2: 2,7 => UNS * INC # B7: 8 # B2: 5,6 => UNS * INC # B7: 8 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for D6,F6: 5..:
* INC # D6: 5 # D8: 7,9 => UNS * INC # D6: 5 # D8: 3,4 => UNS * INC # D6: 5 # C9: 7,9 => UNS * INC # D6: 5 # H9: 7,9 => UNS * INC # D6: 5 # I9: 7,9 => UNS * INC # D6: 5 => UNS * INC # F6: 5 # F7: 2,7 => UNS * INC # F6: 5 # F7: 3,4 => UNS * INC # F6: 5 # A9: 2,7 => UNS * INC # F6: 5 # C9: 2,7 => UNS * INC # F6: 5 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for G7,G8: 5..:
* INC # G7: 5 # H8: 6,9 => UNS * INC # G7: 5 # H9: 6,9 => UNS * INC # G7: 5 # B8: 6,9 => UNS * INC # G7: 5 # B8: 5,7 => UNS * INC # G7: 5 # G3: 6,9 => UNS * INC # G7: 5 # G3: 1 => UNS * INC # G7: 5 => UNS * INC # G8: 5 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED
Full list of HDP chains traversed for A7,A8: 3..:
* INC # A8: 3 # E7: 4,9 => UNS * INC # A8: 3 # D8: 4,9 => UNS * INC # A8: 3 # H8: 4,9 => UNS * INC # A8: 3 # H8: 6,7 => UNS * INC # A8: 3 => UNS * INC # A7: 3 => UNS * CNT 6 HDP CHAINS / 6 HYP OPENED