Analysis of xx-ph-00015940-Kz1_b-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6.....97...7.....5.4..3.2....84...5......1..4..95...6.....2.1.......4..3 initial
Autosolve
position: 98.7.....6.....97...7.....5.4..3.2....84...5......1..4..95...6.....2.1.......45.3 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000010
List of important HDP chains detected for I7,H9: 2..:
* DIS # I7: 2 # H4: 8,9 => CTR => H4: 1 * DIS # I7: 2 + H4: 1 # H6: 8,9 => CTR => H6: 3 * DIS # I7: 2 + H4: 1 + H6: 3 # D9: 8,9 => CTR => D9: 1,6 * DIS # I7: 2 + H4: 1 + H6: 3 + D9: 1,6 # E9: 8,9 => CTR => E9: 1,6,7 * DIS # I7: 2 + H4: 1 + H6: 3 + D9: 1,6 + E9: 1,6,7 # H3: 2,4 => CTR => H3: 8 * DIS # I7: 2 + H4: 1 + H6: 3 + D9: 1,6 + E9: 1,6,7 + H3: 8 => CTR => I7: 7,8 * STA I7: 7,8 * CNT 6 HDP CHAINS / 23 HYP OPENED
List of important HDP chains detected for A7,G7: 4..:
* DIS # A7: 4 # I7: 7,8 => CTR => I7: 2 * DIS # A7: 4 + I7: 2 # H4: 8,9 => CTR => H4: 1 * DIS # A7: 4 + I7: 2 + H4: 1 # H6: 8,9 => CTR => H6: 3 * DIS # A7: 4 + I7: 2 + H4: 1 + H6: 3 # F2: 3,5 => CTR => F2: 8 * DIS # A7: 4 + I7: 2 + H4: 1 + H6: 3 + F2: 8 # C1: 3,5 => CTR => C1: 1,4 * DIS # A7: 4 + I7: 2 + H4: 1 + H6: 3 + F2: 8 + C1: 1,4 => CTR => A7: 1,2,3,7,8 * STA A7: 1,2,3,7,8 * CNT 6 HDP CHAINS / 46 HYP OPENED
List of important HDP chains detected for G7,H8: 4..:
* DIS # H8: 4 # I7: 7,8 => CTR => I7: 2 * DIS # H8: 4 + I7: 2 # H4: 8,9 => CTR => H4: 1 * DIS # H8: 4 + I7: 2 + H4: 1 # H6: 8,9 => CTR => H6: 3 * DIS # H8: 4 + I7: 2 + H4: 1 + H6: 3 # F2: 3,5 => CTR => F2: 8 * DIS # H8: 4 + I7: 2 + H4: 1 + H6: 3 + F2: 8 # C1: 3,5 => CTR => C1: 1,4 * DIS # H8: 4 + I7: 2 + H4: 1 + H6: 3 + F2: 8 + C1: 1,4 => CTR => H8: 8,9 * STA H8: 8,9 * CNT 6 HDP CHAINS / 46 HYP OPENED
List of important HDP chains detected for B5,B6: 9..:
* DIS # B5: 9 # F5: 6,7 => CTR => F5: 2 * CNT 1 HDP CHAINS / 25 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.....97...7.....5.4..3.2....84...5......1..4..95...6.....2.1.......4..3 | initial |
| 98.7.....6.....97...7.....5.4..3.2....84...5......1..4..95...6.....2.1.......45.3 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) F5,D6: 2.. / F5 = 2 => 0 pairs (_) / D6 = 2 => 0 pairs (_) I7,H9: 2.. / I7 = 2 => 3 pairs (_) / H9 = 2 => 2 pairs (_) G7,H8: 4.. / G7 = 4 => 2 pairs (_) / H8 = 4 => 1 pairs (_) C2,E2: 4.. / C2 = 4 => 0 pairs (_) / E2 = 4 => 0 pairs (_) A7,G7: 4.. / A7 = 4 => 1 pairs (_) / G7 = 4 => 2 pairs (_) F4,E6: 5.. / F4 = 5 => 2 pairs (_) / E6 = 5 => 0 pairs (_) B5,B6: 9.. / B5 = 9 => 1 pairs (_) / B6 = 9 => 1 pairs (_) * DURATION: 0:00:05.075033 START: 10:29:43.161289 END: 10:29:48.236322 2020-10-19 * CP COUNT: (7) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I7,H9: 2.. / I7 = 2 ==> 0 pairs (X) / H9 = 2 => 2 pairs (_) A7,G7: 4.. / A7 = 4 ==> 0 pairs (X) / G7 = 4 ==> 2 pairs (_) G7,H8: 4.. / G7 = 4 ==> 2 pairs (_) / H8 = 4 ==> 0 pairs (X) F4,E6: 5.. / F4 = 5 ==> 2 pairs (_) / E6 = 5 ==> 0 pairs (_) B5,B6: 9.. / B5 = 9 ==> 1 pairs (_) / B6 = 9 ==> 1 pairs (_) C2,E2: 4.. / C2 = 4 ==> 0 pairs (_) / E2 = 4 ==> 0 pairs (_) F5,D6: 2.. / F5 = 2 ==> 0 pairs (_) / D6 = 2 ==> 0 pairs (_) * DURATION: 0:01:33.332476 START: 10:29:48.237132 END: 10:31:21.569608 2020-10-19 * REASONING I7,H9: 2.. * DIS # I7: 2 # H4: 8,9 => CTR => H4: 1 * DIS # I7: 2 + H4: 1 # H6: 8,9 => CTR => H6: 3 * DIS # I7: 2 + H4: 1 + H6: 3 # D9: 8,9 => CTR => D9: 1,6 * DIS # I7: 2 + H4: 1 + H6: 3 + D9: 1,6 # E9: 8,9 => CTR => E9: 1,6,7 * DIS # I7: 2 + H4: 1 + H6: 3 + D9: 1,6 + E9: 1,6,7 # H3: 2,4 => CTR => H3: 8 * DIS # I7: 2 + H4: 1 + H6: 3 + D9: 1,6 + E9: 1,6,7 + H3: 8 => CTR => I7: 7,8 * STA I7: 7,8 * CNT 6 HDP CHAINS / 23 HYP OPENED * REASONING A7,G7: 4.. * DIS # A7: 4 # I7: 7,8 => CTR => I7: 2 * DIS # A7: 4 + I7: 2 # H4: 8,9 => CTR => H4: 1 * DIS # A7: 4 + I7: 2 + H4: 1 # H6: 8,9 => CTR => H6: 3 * DIS # A7: 4 + I7: 2 + H4: 1 + H6: 3 # F2: 3,5 => CTR => F2: 8 * DIS # A7: 4 + I7: 2 + H4: 1 + H6: 3 + F2: 8 # C1: 3,5 => CTR => C1: 1,4 * DIS # A7: 4 + I7: 2 + H4: 1 + H6: 3 + F2: 8 + C1: 1,4 => CTR => A7: 1,2,3,7,8 * STA A7: 1,2,3,7,8 * CNT 6 HDP CHAINS / 46 HYP OPENED * REASONING G7,H8: 4.. * DIS # H8: 4 # I7: 7,8 => CTR => I7: 2 * DIS # H8: 4 + I7: 2 # H4: 8,9 => CTR => H4: 1 * DIS # H8: 4 + I7: 2 + H4: 1 # H6: 8,9 => CTR => H6: 3 * DIS # H8: 4 + I7: 2 + H4: 1 + H6: 3 # F2: 3,5 => CTR => F2: 8 * DIS # H8: 4 + I7: 2 + H4: 1 + H6: 3 + F2: 8 # C1: 3,5 => CTR => C1: 1,4 * DIS # H8: 4 + I7: 2 + H4: 1 + H6: 3 + F2: 8 + C1: 1,4 => CTR => H8: 8,9 * STA H8: 8,9 * CNT 6 HDP CHAINS / 46 HYP OPENED * REASONING B5,B6: 9.. * DIS # B5: 9 # F5: 6,7 => CTR => F5: 2 * CNT 1 HDP CHAINS / 25 HYP OPENED * DCP COUNT: (7) * CLUE FOUND
Header Info
15940;Kz1 b;GP;23;11.40;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I7,H9: 2..:
* INC # I7: 2 # E1: 1,6 => UNS * INC # I7: 2 # E1: 4,5 => UNS * INC # I7: 2 # I4: 1,6 => UNS * INC # I7: 2 # I5: 1,6 => UNS * INC # I7: 2 # H3: 1,8 => UNS * INC # I7: 2 # H3: 2,3,4 => UNS * INC # I7: 2 # D2: 1,8 => UNS * INC # I7: 2 # E2: 1,8 => UNS * INC # I7: 2 # I4: 1,8 => UNS * INC # I7: 2 # I4: 6,7,9 => UNS * INC # I7: 2 # H8: 8,9 => UNS * INC # I7: 2 # I8: 8,9 => UNS * INC # I7: 2 # D9: 8,9 => UNS * INC # I7: 2 # E9: 8,9 => UNS * DIS # I7: 2 # H4: 8,9 => CTR => H4: 1 * DIS # I7: 2 + H4: 1 # H6: 8,9 => CTR => H6: 3 * INC # I7: 2 + H4: 1 + H6: 3 # H8: 8,9 => UNS * INC # I7: 2 + H4: 1 + H6: 3 # H8: 4 => UNS * DIS # I7: 2 + H4: 1 + H6: 3 # D9: 8,9 => CTR => D9: 1,6 * DIS # I7: 2 + H4: 1 + H6: 3 + D9: 1,6 # E9: 8,9 => CTR => E9: 1,6,7 * DIS # I7: 2 + H4: 1 + H6: 3 + D9: 1,6 + E9: 1,6,7 # H3: 2,4 => CTR => H3: 8 * DIS # I7: 2 + H4: 1 + H6: 3 + D9: 1,6 + E9: 1,6,7 + H3: 8 => CTR => I7: 7,8 * INC I7: 7,8 # H9: 2 => UNS * STA I7: 7,8 * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for A7,G7: 4..:
* INC # G7: 4 # G3: 3,6 => UNS * INC # G7: 4 # G3: 8 => UNS * INC # G7: 4 # F1: 3,6 => UNS * INC # G7: 4 # F1: 2,5 => UNS * INC # G7: 4 # G5: 3,6 => UNS * INC # G7: 4 # G6: 3,6 => UNS * INC # G7: 4 # I8: 8,9 => UNS * INC # G7: 4 # H9: 8,9 => UNS * INC # G7: 4 # D8: 8,9 => UNS * INC # G7: 4 # F8: 8,9 => UNS * INC # G7: 4 # H4: 8,9 => UNS * INC # G7: 4 # H6: 8,9 => UNS * INC # G7: 4 => UNS * DIS # A7: 4 # I7: 7,8 => CTR => I7: 2 * INC # A7: 4 + I7: 2 # I8: 7,8 => UNS * INC # A7: 4 + I7: 2 # I8: 7,8 => UNS * INC # A7: 4 + I7: 2 # I8: 9 => UNS * INC # A7: 4 + I7: 2 # E7: 7,8 => UNS * INC # A7: 4 + I7: 2 # F7: 7,8 => UNS * INC # A7: 4 + I7: 2 # G6: 7,8 => UNS * INC # A7: 4 + I7: 2 # G6: 3,6 => UNS * INC # A7: 4 + I7: 2 # E1: 1,6 => UNS * INC # A7: 4 + I7: 2 # E1: 4,5 => UNS * INC # A7: 4 + I7: 2 # I4: 1,6 => UNS * INC # A7: 4 + I7: 2 # I5: 1,6 => UNS * INC # A7: 4 + I7: 2 # H3: 1,8 => UNS * INC # A7: 4 + I7: 2 # H3: 2,3 => UNS * INC # A7: 4 + I7: 2 # D2: 1,8 => UNS * INC # A7: 4 + I7: 2 # E2: 1,8 => UNS * INC # A7: 4 + I7: 2 # I4: 1,8 => UNS * INC # A7: 4 + I7: 2 # I4: 6,7,9 => UNS * INC # A7: 4 + I7: 2 # I8: 7,8 => UNS * INC # A7: 4 + I7: 2 # I8: 9 => UNS * INC # A7: 4 + I7: 2 # E7: 7,8 => UNS * INC # A7: 4 + I7: 2 # F7: 7,8 => UNS * INC # A7: 4 + I7: 2 # G6: 7,8 => UNS * INC # A7: 4 + I7: 2 # G6: 3,6 => UNS * INC # A7: 4 + I7: 2 # I8: 8,9 => UNS * INC # A7: 4 + I7: 2 # I8: 7 => UNS * INC # A7: 4 + I7: 2 # D9: 8,9 => UNS * INC # A7: 4 + I7: 2 # E9: 8,9 => UNS * DIS # A7: 4 + I7: 2 # H4: 8,9 => CTR => H4: 1 * DIS # A7: 4 + I7: 2 + H4: 1 # H6: 8,9 => CTR => H6: 3 * DIS # A7: 4 + I7: 2 + H4: 1 + H6: 3 # F2: 3,5 => CTR => F2: 8 * DIS # A7: 4 + I7: 2 + H4: 1 + H6: 3 + F2: 8 # C1: 3,5 => CTR => C1: 1,4 * DIS # A7: 4 + I7: 2 + H4: 1 + H6: 3 + F2: 8 + C1: 1,4 => CTR => A7: 1,2,3,7,8 * STA A7: 1,2,3,7,8 * CNT 46 HDP CHAINS / 46 HYP OPENED
Full list of HDP chains traversed for G7,H8: 4..:
* INC # G7: 4 # G3: 3,6 => UNS * INC # G7: 4 # G3: 8 => UNS * INC # G7: 4 # F1: 3,6 => UNS * INC # G7: 4 # F1: 2,5 => UNS * INC # G7: 4 # G5: 3,6 => UNS * INC # G7: 4 # G6: 3,6 => UNS * INC # G7: 4 # I8: 8,9 => UNS * INC # G7: 4 # H9: 8,9 => UNS * INC # G7: 4 # D8: 8,9 => UNS * INC # G7: 4 # F8: 8,9 => UNS * INC # G7: 4 # H4: 8,9 => UNS * INC # G7: 4 # H6: 8,9 => UNS * INC # G7: 4 => UNS * DIS # H8: 4 # I7: 7,8 => CTR => I7: 2 * INC # H8: 4 + I7: 2 # I8: 7,8 => UNS * INC # H8: 4 + I7: 2 # I8: 7,8 => UNS * INC # H8: 4 + I7: 2 # I8: 9 => UNS * INC # H8: 4 + I7: 2 # E7: 7,8 => UNS * INC # H8: 4 + I7: 2 # F7: 7,8 => UNS * INC # H8: 4 + I7: 2 # G6: 7,8 => UNS * INC # H8: 4 + I7: 2 # G6: 3,6 => UNS * INC # H8: 4 + I7: 2 # E1: 1,6 => UNS * INC # H8: 4 + I7: 2 # E1: 4,5 => UNS * INC # H8: 4 + I7: 2 # I4: 1,6 => UNS * INC # H8: 4 + I7: 2 # I5: 1,6 => UNS * INC # H8: 4 + I7: 2 # H3: 1,8 => UNS * INC # H8: 4 + I7: 2 # H3: 2,3 => UNS * INC # H8: 4 + I7: 2 # D2: 1,8 => UNS * INC # H8: 4 + I7: 2 # E2: 1,8 => UNS * INC # H8: 4 + I7: 2 # I4: 1,8 => UNS * INC # H8: 4 + I7: 2 # I4: 6,7,9 => UNS * INC # H8: 4 + I7: 2 # I8: 7,8 => UNS * INC # H8: 4 + I7: 2 # I8: 9 => UNS * INC # H8: 4 + I7: 2 # E7: 7,8 => UNS * INC # H8: 4 + I7: 2 # F7: 7,8 => UNS * INC # H8: 4 + I7: 2 # G6: 7,8 => UNS * INC # H8: 4 + I7: 2 # G6: 3,6 => UNS * INC # H8: 4 + I7: 2 # I8: 8,9 => UNS * INC # H8: 4 + I7: 2 # I8: 7 => UNS * INC # H8: 4 + I7: 2 # D9: 8,9 => UNS * INC # H8: 4 + I7: 2 # E9: 8,9 => UNS * DIS # H8: 4 + I7: 2 # H4: 8,9 => CTR => H4: 1 * DIS # H8: 4 + I7: 2 + H4: 1 # H6: 8,9 => CTR => H6: 3 * DIS # H8: 4 + I7: 2 + H4: 1 + H6: 3 # F2: 3,5 => CTR => F2: 8 * DIS # H8: 4 + I7: 2 + H4: 1 + H6: 3 + F2: 8 # C1: 3,5 => CTR => C1: 1,4 * DIS # H8: 4 + I7: 2 + H4: 1 + H6: 3 + F2: 8 + C1: 1,4 => CTR => H8: 8,9 * STA H8: 8,9 * CNT 46 HDP CHAINS / 46 HYP OPENED
Full list of HDP chains traversed for F4,E6: 5..:
* INC # F4: 5 # A5: 1,7 => UNS * INC # F4: 5 # B5: 1,7 => UNS * INC # F4: 5 # I4: 1,7 => UNS * INC # F4: 5 # I4: 6,8,9 => UNS * INC # F4: 5 # A7: 1,7 => UNS * INC # F4: 5 # A9: 1,7 => UNS * INC # F4: 5 # B5: 1,6 => UNS * INC # F4: 5 # B5: 2,3,7,9 => UNS * INC # F4: 5 # I4: 1,6 => UNS * INC # F4: 5 # I4: 7,8,9 => UNS * INC # F4: 5 # C9: 1,6 => UNS * INC # F4: 5 # C9: 2 => UNS * INC # F4: 5 => UNS * INC # E6: 5 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
Full list of HDP chains traversed for B5,B6: 9..:
* INC # B5: 9 # F4: 6,7 => UNS * DIS # B5: 9 # F5: 6,7 => CTR => F5: 2 * INC # B5: 9 + F5: 2 # E6: 6,7 => UNS * INC # B5: 9 + F5: 2 # G5: 6,7 => UNS * INC # B5: 9 + F5: 2 # I5: 6,7 => UNS * INC # B5: 9 + F5: 2 # E9: 6,7 => UNS * INC # B5: 9 + F5: 2 # E9: 1,8,9 => UNS * INC # B5: 9 + F5: 2 # F4: 6,7 => UNS * INC # B5: 9 + F5: 2 # E6: 6,7 => UNS * INC # B5: 9 + F5: 2 # G5: 6,7 => UNS * INC # B5: 9 + F5: 2 # I5: 6,7 => UNS * INC # B5: 9 + F5: 2 # E9: 6,7 => UNS * INC # B5: 9 + F5: 2 # E9: 1,8,9 => UNS * INC # B5: 9 + F5: 2 # F4: 6,7 => UNS * INC # B5: 9 + F5: 2 # E6: 6,7 => UNS * INC # B5: 9 + F5: 2 # G5: 6,7 => UNS * INC # B5: 9 + F5: 2 # I5: 6,7 => UNS * INC # B5: 9 + F5: 2 # E9: 6,7 => UNS * INC # B5: 9 + F5: 2 # E9: 1,8,9 => UNS * INC # B5: 9 + F5: 2 => UNS * INC # B6: 9 # G6: 3,8 => UNS * INC # B6: 9 # G6: 6,7 => UNS * INC # B6: 9 # H3: 3,8 => UNS * INC # B6: 9 # H3: 1,2,4 => UNS * INC # B6: 9 => UNS * CNT 25 HDP CHAINS / 25 HYP OPENED
Full list of HDP chains traversed for C2,E2: 4..:
* INC # C2: 4 => UNS * INC # E2: 4 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED
Full list of HDP chains traversed for F5,D6: 2..:
* INC # F5: 2 => UNS * INC # D6: 2 => UNS * CNT 2 HDP CHAINS / 2 HYP OPENED