Analysis of xx-ph-01054281-13_07-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7..6..5...9......7....9..9.4..7...4.8..3....2..1....7..4..36...3....8.....74.. initial
Autosolve
position: 98.7..6..5...9...7..7....9..9.4..7...4.8..3....2..1....7..4..36...3...78.....74.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
List of important HDP chains detected for H6,I6: 4..:
* DIS # H6: 4 # G6: 5,9 => CTR => G6: 8 * DIS # H6: 4 + G6: 8 # D6: 6 => CTR => D6: 5,9 * DIS # H6: 4 + G6: 8 + D6: 5,9 # F1: 3,4 => CTR => F1: 2,5 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 # C1: 1 => CTR => C1: 3,4 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 # G3: 1,2 => CTR => G3: 5 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 # D2: 1,2 => CTR => D2: 6 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 # B2: 3 => CTR => B2: 1,2 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 + B2: 1,2 # G7: 1,2 => CTR => G7: 9 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 + B2: 1,2 + G7: 9 # F3: 8 => CTR => F3: 3,4 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 + B2: 1,2 + G7: 9 + F3: 3,4 # E1: 2,5 => CTR => E1: 1 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 + B2: 1,2 + G7: 9 + F3: 3,4 + E1: 1 => CTR => H6: 5,6,8 * STA H6: 5,6,8 * CNT 11 HDP CHAINS / 28 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......7....9..9.4..7...4.8..3....2..1....7..4..36...3....8.....74.. | initial |
| 98.7..6..5...9...7..7....9..9.4..7...4.8..3....2..1....7..4..36...3...78.....74.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) I1,I3: 3.. / I1 = 3 => 1 pairs (_) / I3 = 3 => 0 pairs (_) H6,I6: 4.. / H6 = 4 => 3 pairs (_) / I6 = 4 => 0 pairs (_) A8,C8: 4.. / A8 = 4 => 0 pairs (_) / C8 = 4 => 1 pairs (_) A3,A8: 4.. / A3 = 4 => 1 pairs (_) / A8 = 4 => 0 pairs (_) A5,A6: 7.. / A5 = 7 => 0 pairs (_) / A6 = 7 => 1 pairs (_) E5,E6: 7.. / E5 = 7 => 1 pairs (_) / E6 = 7 => 0 pairs (_) A5,E5: 7.. / A5 = 7 => 0 pairs (_) / E5 = 7 => 1 pairs (_) A6,E6: 7.. / A6 = 7 => 1 pairs (_) / E6 = 7 => 0 pairs (_) F7,E9: 8.. / F7 = 8 => 1 pairs (_) / E9 = 8 => 0 pairs (_) E3,E9: 8.. / E3 = 8 => 1 pairs (_) / E9 = 8 => 0 pairs (_) F5,D6: 9.. / F5 = 9 => 1 pairs (_) / D6 = 9 => 2 pairs (_) F5,I5: 9.. / F5 = 9 => 1 pairs (_) / I5 = 9 => 2 pairs (_) * DURATION: 0:00:10.625952 START: 01:27:19.097624 END: 01:27:29.723576 2020-10-04 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H6,I6: 4.. / H6 = 4 ==> 0 pairs (X) / I6 = 4 => 0 pairs (_) F5,I5: 9.. / F5 = 9 ==> 1 pairs (_) / I5 = 9 ==> 2 pairs (_) F5,D6: 9.. / F5 = 9 ==> 1 pairs (_) / D6 = 9 ==> 2 pairs (_) E3,E9: 8.. / E3 = 8 ==> 1 pairs (_) / E9 = 8 ==> 0 pairs (_) F7,E9: 8.. / F7 = 8 ==> 1 pairs (_) / E9 = 8 ==> 0 pairs (_) A6,E6: 7.. / A6 = 7 ==> 1 pairs (_) / E6 = 7 ==> 0 pairs (_) A5,E5: 7.. / A5 = 7 ==> 0 pairs (_) / E5 = 7 ==> 1 pairs (_) E5,E6: 7.. / E5 = 7 ==> 1 pairs (_) / E6 = 7 ==> 0 pairs (_) A5,A6: 7.. / A5 = 7 ==> 0 pairs (_) / A6 = 7 ==> 1 pairs (_) A3,A8: 4.. / A3 = 4 ==> 1 pairs (_) / A8 = 4 ==> 0 pairs (_) A8,C8: 4.. / A8 = 4 ==> 0 pairs (_) / C8 = 4 ==> 1 pairs (_) I1,I3: 3.. / I1 = 3 ==> 1 pairs (_) / I3 = 3 ==> 0 pairs (_) * DURATION: 0:01:41.388382 START: 01:27:29.724373 END: 01:29:11.112755 2020-10-04 * REASONING H6,I6: 4.. * DIS # H6: 4 # G6: 5,9 => CTR => G6: 8 * DIS # H6: 4 + G6: 8 # D6: 6 => CTR => D6: 5,9 * DIS # H6: 4 + G6: 8 + D6: 5,9 # F1: 3,4 => CTR => F1: 2,5 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 # C1: 1 => CTR => C1: 3,4 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 # G3: 1,2 => CTR => G3: 5 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 # D2: 1,2 => CTR => D2: 6 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 # B2: 3 => CTR => B2: 1,2 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 + B2: 1,2 # G7: 1,2 => CTR => G7: 9 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 + B2: 1,2 + G7: 9 # F3: 8 => CTR => F3: 3,4 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 + B2: 1,2 + G7: 9 + F3: 3,4 # E1: 2,5 => CTR => E1: 1 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 + B2: 1,2 + G7: 9 + F3: 3,4 + E1: 1 => CTR => H6: 5,6,8 * STA H6: 5,6,8 * CNT 11 HDP CHAINS / 28 HYP OPENED * DCP COUNT: (12) * CLUE FOUND
Header Info
1054281;13_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 H6,I6: 4..:
* INC # H6: 4 # C1: 3,4 => UNS * INC # H6: 4 # F1: 3,4 => UNS * INC # H6: 4 # A3: 3,4 => UNS * INC # H6: 4 # F3: 3,4 => UNS * INC # H6: 4 # I5: 5,9 => UNS * DIS # H6: 4 # G6: 5,9 => CTR => G6: 8 * INC # H6: 4 + G6: 8 # I5: 5,9 => UNS * INC # H6: 4 + G6: 8 # I5: 1,2 => UNS * INC # H6: 4 + G6: 8 # D6: 5,9 => UNS * DIS # H6: 4 + G6: 8 # D6: 6 => CTR => D6: 5,9 * INC # H6: 4 + G6: 8 + D6: 5,9 # I5: 5,9 => UNS * INC # H6: 4 + G6: 8 + D6: 5,9 # I5: 1,2 => UNS * INC # H6: 4 + G6: 8 + D6: 5,9 # C1: 3,4 => UNS * DIS # H6: 4 + G6: 8 + D6: 5,9 # F1: 3,4 => CTR => F1: 2,5 * INC # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 # C1: 3,4 => UNS * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 # C1: 1 => CTR => C1: 3,4 * INC # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 # H1: 1,2 => UNS * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 # G3: 1,2 => CTR => G3: 5 * INC # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 # B2: 1,2 => UNS * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 # D2: 1,2 => CTR => D2: 6 * INC # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 # B2: 1,2 => UNS * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 # B2: 3 => CTR => B2: 1,2 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 + B2: 1,2 # G7: 1,2 => CTR => G7: 9 * INC # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 + B2: 1,2 + G7: 9 # F3: 3,4 => UNS * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 + B2: 1,2 + G7: 9 # F3: 8 => CTR => F3: 3,4 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 + B2: 1,2 + G7: 9 + F3: 3,4 # E1: 2,5 => CTR => E1: 1 * DIS # H6: 4 + G6: 8 + D6: 5,9 + F1: 2,5 + C1: 3,4 + G3: 5 + D2: 6 + B2: 1,2 + G7: 9 + F3: 3,4 + E1: 1 => CTR => H6: 5,6,8 * INC H6: 5,6,8 # I6: 4 => UNS * STA H6: 5,6,8 * CNT 28 HDP CHAINS / 28 HYP OPENED
Full list of HDP chains traversed for F5,I5: 9..:
* INC # I5: 9 # H4: 5,8 => UNS * INC # I5: 9 # H6: 5,8 => UNS * INC # I5: 9 # G3: 5,8 => UNS * INC # I5: 9 # G3: 1,2 => UNS * INC # I5: 9 # H6: 4,5 => UNS * INC # I5: 9 # H6: 6,8 => UNS * INC # I5: 9 # I1: 4,5 => UNS * INC # I5: 9 # I3: 4,5 => UNS * INC # I5: 9 => UNS * INC # F5: 9 # E4: 5,6 => UNS * INC # F5: 9 # F4: 5,6 => UNS * INC # F5: 9 # E5: 5,6 => UNS * INC # F5: 9 # E6: 5,6 => UNS * INC # F5: 9 # B6: 5,6 => UNS * INC # F5: 9 # H6: 5,6 => UNS * INC # F5: 9 # D3: 5,6 => UNS * INC # F5: 9 # D9: 5,6 => UNS * INC # F5: 9 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for F5,D6: 9..:
* INC # D6: 9 # H4: 5,8 => UNS * INC # D6: 9 # H6: 5,8 => UNS * INC # D6: 9 # G3: 5,8 => UNS * INC # D6: 9 # G3: 1,2 => UNS * INC # D6: 9 # H6: 4,5 => UNS * INC # D6: 9 # H6: 6,8 => UNS * INC # D6: 9 # I1: 4,5 => UNS * INC # D6: 9 # I3: 4,5 => UNS * INC # D6: 9 => UNS * INC # F5: 9 # E4: 5,6 => UNS * INC # F5: 9 # F4: 5,6 => UNS * INC # F5: 9 # E5: 5,6 => UNS * INC # F5: 9 # E6: 5,6 => UNS * INC # F5: 9 # B6: 5,6 => UNS * INC # F5: 9 # H6: 5,6 => UNS * INC # F5: 9 # D3: 5,6 => UNS * INC # F5: 9 # D9: 5,6 => UNS * INC # F5: 9 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for E3,E9: 8..:
* INC # E3: 8 # A8: 1,2 => UNS * INC # E3: 8 # B8: 1,2 => UNS * INC # E3: 8 # A9: 1,2 => UNS * INC # E3: 8 # B9: 1,2 => UNS * INC # E3: 8 # D7: 1,2 => UNS * INC # E3: 8 # G7: 1,2 => UNS * INC # E3: 8 # A3: 1,2 => UNS * INC # E3: 8 # A3: 3,4,6 => UNS * INC # E3: 8 => UNS * INC # E9: 8 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for F7,E9: 8..:
* INC # F7: 8 # A8: 1,2 => UNS * INC # F7: 8 # B8: 1,2 => UNS * INC # F7: 8 # A9: 1,2 => UNS * INC # F7: 8 # B9: 1,2 => UNS * INC # F7: 8 # D7: 1,2 => UNS * INC # F7: 8 # G7: 1,2 => UNS * INC # F7: 8 # A3: 1,2 => UNS * INC # F7: 8 # A3: 3,4,6 => UNS * INC # F7: 8 => UNS * INC # E9: 8 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for A6,E6: 7..:
* INC # A6: 7 # A4: 1,6 => UNS * INC # A6: 7 # C4: 1,6 => UNS * INC # A6: 7 # C5: 1,6 => UNS * INC # A6: 7 # H5: 1,6 => UNS * INC # A6: 7 # H5: 2,5 => UNS * INC # A6: 7 # A3: 1,6 => UNS * INC # A6: 7 # A8: 1,6 => UNS * INC # A6: 7 # A9: 1,6 => UNS * INC # A6: 7 => UNS * INC # E6: 7 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for A5,E5: 7..:
* INC # E5: 7 # A4: 1,6 => UNS * INC # E5: 7 # C4: 1,6 => UNS * INC # E5: 7 # C5: 1,6 => UNS * INC # E5: 7 # H5: 1,6 => UNS * INC # E5: 7 # H5: 2,5 => UNS * INC # E5: 7 # A3: 1,6 => UNS * INC # E5: 7 # A8: 1,6 => UNS * INC # E5: 7 # A9: 1,6 => UNS * INC # E5: 7 => UNS * INC # A5: 7 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for E5,E6: 7..:
* INC # E5: 7 # A4: 1,6 => UNS * INC # E5: 7 # C4: 1,6 => UNS * INC # E5: 7 # C5: 1,6 => UNS * INC # E5: 7 # H5: 1,6 => UNS * INC # E5: 7 # H5: 2,5 => UNS * INC # E5: 7 # A3: 1,6 => UNS * INC # E5: 7 # A8: 1,6 => UNS * INC # E5: 7 # A9: 1,6 => UNS * INC # E5: 7 => UNS * INC # E6: 7 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for A5,A6: 7..:
* INC # A6: 7 # A4: 1,6 => UNS * INC # A6: 7 # C4: 1,6 => UNS * INC # A6: 7 # C5: 1,6 => UNS * INC # A6: 7 # H5: 1,6 => UNS * INC # A6: 7 # H5: 2,5 => UNS * INC # A6: 7 # A3: 1,6 => UNS * INC # A6: 7 # A8: 1,6 => UNS * INC # A6: 7 # A9: 1,6 => UNS * INC # A6: 7 => UNS * INC # A5: 7 => UNS * CNT 10 HDP CHAINS / 10 HYP OPENED
Full list of HDP chains traversed for A3,A8: 4..:
* INC # A3: 4 # B2: 1,3 => UNS * INC # A3: 4 # C2: 1,3 => UNS * INC # A3: 4 # B3: 1,3 => UNS * INC # A3: 4 # E1: 1,3 => UNS * INC # A3: 4 # I1: 1,3 => UNS * INC # A3: 4 # C4: 1,3 => UNS * INC # A3: 4 # C9: 1,3 => UNS * INC # A3: 4 => UNS * INC # A8: 4 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for A8,C8: 4..:
* INC # C8: 4 # B2: 1,3 => UNS * INC # C8: 4 # C2: 1,3 => UNS * INC # C8: 4 # B3: 1,3 => UNS * INC # C8: 4 # E1: 1,3 => UNS * INC # C8: 4 # I1: 1,3 => UNS * INC # C8: 4 # C4: 1,3 => UNS * INC # C8: 4 # C9: 1,3 => UNS * INC # C8: 4 => UNS * INC # A8: 4 => UNS * CNT 9 HDP CHAINS / 9 HYP OPENED
Full list of HDP chains traversed for I1,I3: 3..:
* INC # I1: 3 # C2: 1,4 => UNS * INC # I1: 3 # A3: 1,4 => UNS * INC # I1: 3 # H1: 1,4 => UNS * INC # I1: 3 # H1: 2,5 => UNS * INC # I1: 3 # C8: 1,4 => UNS * INC # I1: 3 # C8: 5,6,9 => UNS * INC # I1: 3 => UNS * INC # I3: 3 => UNS * CNT 8 HDP CHAINS / 8 HYP OPENED