Analysis of xx-ph-00011550-kz0-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6.....97...7.....5.4..3.5....65...9......2..1..89...5.....1.3.......4..2 initial
Autosolve
position: 98.7.....6.....97...7.....5.4..3.5....65...9......2..1..89...5.....1.3.9.....4..2 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for I5,H6: 3..:
* DIS # I5: 3 # G1: 4,6 => CTR => G1: 1,2 * DIS # I5: 3 + G1: 1,2 # H1: 4,6 => CTR => H1: 1,2,3 * CNT 2 HDP CHAINS / 33 HYP OPENED
List of important HDP chains detected for E7,D8: 2..:
* DIS # D8: 2 # B7: 6,7 => CTR => B7: 1,2,3 * CNT 1 HDP CHAINS / 40 HYP OPENED
List of important HDP chains detected for H4,G5: 2..:
* DIS # G5: 2 # H6: 6,8 => CTR => H6: 3,4 * DIS # G5: 2 + H6: 3,4 # H3: 6,8 => CTR => H3: 1,2,3,4 * PRF # G5: 2 + H6: 3,4 + H3: 1,2,3,4 # H9: 6,8 => SOL * STA # G5: 2 + H6: 3,4 + H3: 1,2,3,4 + H9: 6,8 * CNT 3 HDP CHAINS / 14 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..3.5....65...9......2..1..89...5.....1.3.......4..2 | initial |
| 98.7.....6.....97...7.....5.4..3.5....65...9......2..1..89...5.....1.3.9.....4..2 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H4,G5: 2.. / H4 = 2 => 1 pairs (_) / G5 = 2 => 1 pairs (_) E7,D8: 2.. / E7 = 2 => 1 pairs (_) / D8 = 2 => 2 pairs (_) I5,H6: 3.. / I5 = 3 => 2 pairs (_) / H6 = 3 => 1 pairs (_) F7,D9: 3.. / F7 = 3 => 1 pairs (_) / D9 = 3 => 1 pairs (_) F8,E9: 5.. / F8 = 5 => 1 pairs (_) / E9 = 5 => 0 pairs (_) E3,F3: 9.. / E3 = 9 => 1 pairs (_) / F3 = 9 => 1 pairs (_) F4,E6: 9.. / F4 = 9 => 1 pairs (_) / E6 = 9 => 1 pairs (_) B9,C9: 9.. / B9 = 9 => 0 pairs (_) / C9 = 9 => 2 pairs (_) C4,F4: 9.. / C4 = 9 => 1 pairs (_) / F4 = 9 => 1 pairs (_) B6,B9: 9.. / B6 = 9 => 2 pairs (_) / B9 = 9 => 0 pairs (_) E3,E6: 9.. / E3 = 9 => 1 pairs (_) / E6 = 9 => 1 pairs (_) F3,F4: 9.. / F3 = 9 => 1 pairs (_) / F4 = 9 => 1 pairs (_) * DURATION: 0:00:07.952176 START: 19:34:46.718104 END: 19:34:54.670280 2020-12-01 * CP COUNT: (12) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) I5,H6: 3.. / I5 = 3 ==> 3 pairs (_) / H6 = 3 ==> 1 pairs (_) E7,D8: 2.. / E7 = 2 ==> 1 pairs (_) / D8 = 2 ==> 2 pairs (_) B6,B9: 9.. / B6 = 9 ==> 2 pairs (_) / B9 = 9 ==> 0 pairs (_) B9,C9: 9.. / B9 = 9 ==> 0 pairs (_) / C9 = 9 ==> 2 pairs (_) F3,F4: 9.. / F3 = 9 ==> 1 pairs (_) / F4 = 9 ==> 1 pairs (_) E3,E6: 9.. / E3 = 9 ==> 1 pairs (_) / E6 = 9 ==> 1 pairs (_) C4,F4: 9.. / C4 = 9 ==> 1 pairs (_) / F4 = 9 ==> 1 pairs (_) F4,E6: 9.. / F4 = 9 ==> 1 pairs (_) / E6 = 9 ==> 1 pairs (_) E3,F3: 9.. / E3 = 9 ==> 1 pairs (_) / F3 = 9 ==> 1 pairs (_) F7,D9: 3.. / F7 = 3 ==> 1 pairs (_) / D9 = 3 ==> 1 pairs (_) H4,G5: 2.. / H4 = 2 ==> 1 pairs (_) / G5 = 2 ==> 0 pairs (*) * DURATION: 0:01:31.607458 START: 19:34:54.670867 END: 19:36:26.278325 2020-12-01 * REASONING I5,H6: 3.. * DIS # I5: 3 # G1: 4,6 => CTR => G1: 1,2 * DIS # I5: 3 + G1: 1,2 # H1: 4,6 => CTR => H1: 1,2,3 * CNT 2 HDP CHAINS / 33 HYP OPENED * REASONING E7,D8: 2.. * DIS # D8: 2 # B7: 6,7 => CTR => B7: 1,2,3 * CNT 1 HDP CHAINS / 40 HYP OPENED * REASONING H4,G5: 2.. * DIS # G5: 2 # H6: 6,8 => CTR => H6: 3,4 * DIS # G5: 2 + H6: 3,4 # H3: 6,8 => CTR => H3: 1,2,3,4 * PRF # G5: 2 + H6: 3,4 + H3: 1,2,3,4 # H9: 6,8 => SOL * STA # G5: 2 + H6: 3,4 + H3: 1,2,3,4 + H9: 6,8 * CNT 3 HDP CHAINS / 14 HYP OPENED * DCP COUNT: (11) * SOLUTION FOUND
Header Info
11550;kz0;GP;23;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for I5,H6: 3..:
* DIS # I5: 3 # G1: 4,6 => CTR => G1: 1,2 * DIS # I5: 3 + G1: 1,2 # H1: 4,6 => CTR => H1: 1,2,3 * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # G3: 4,6 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # H3: 4,6 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # E1: 4,6 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # E1: 2,5 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # I7: 4,6 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # I7: 7 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # G3: 4,8 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # H3: 4,8 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # D2: 4,8 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # E2: 4,8 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # H1: 1,2 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # G3: 1,2 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # H3: 1,2 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # C1: 1,2 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # C1: 3,4,5 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # G3: 4,6 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # H3: 4,6 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # E1: 4,6 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # E1: 2,5 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # I7: 4,6 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # I7: 7 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # G3: 4,8 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # H3: 4,8 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # D2: 4,8 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # E2: 4,8 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 => UNS * INC # H6: 3 # B6: 5,9 => UNS * INC # H6: 3 # B6: 7 => UNS * INC # H6: 3 # C9: 5,9 => UNS * INC # H6: 3 # C9: 1,3 => UNS * INC # H6: 3 => UNS * CNT 33 HDP CHAINS / 33 HYP OPENED
Full list of HDP chains traversed for E7,D8: 2..:
* INC # D8: 2 # A8: 4,5 => UNS * INC # D8: 2 # A8: 7 => UNS * INC # D8: 2 # C1: 4,5 => UNS * INC # D8: 2 # C2: 4,5 => UNS * INC # D8: 2 # F7: 6,7 => UNS * INC # D8: 2 # F8: 6,7 => UNS * INC # D8: 2 # E9: 6,7 => UNS * DIS # D8: 2 # B7: 6,7 => CTR => B7: 1,2,3 * INC # D8: 2 + B7: 1,2,3 # G7: 6,7 => UNS * INC # D8: 2 + B7: 1,2,3 # I7: 6,7 => UNS * INC # D8: 2 + B7: 1,2,3 # E6: 6,7 => UNS * INC # D8: 2 + B7: 1,2,3 # E6: 4,8,9 => UNS * INC # D8: 2 + B7: 1,2,3 # F7: 6,7 => UNS * INC # D8: 2 + B7: 1,2,3 # F8: 6,7 => UNS * INC # D8: 2 + B7: 1,2,3 # E9: 6,7 => UNS * INC # D8: 2 + B7: 1,2,3 # G7: 6,7 => UNS * INC # D8: 2 + B7: 1,2,3 # I7: 6,7 => UNS * INC # D8: 2 + B7: 1,2,3 # E6: 6,7 => UNS * INC # D8: 2 + B7: 1,2,3 # E6: 4,8,9 => UNS * INC # D8: 2 + B7: 1,2,3 # A8: 4,5 => UNS * INC # D8: 2 + B7: 1,2,3 # A8: 7 => UNS * INC # D8: 2 + B7: 1,2,3 # C1: 4,5 => UNS * INC # D8: 2 + B7: 1,2,3 # C2: 4,5 => UNS * INC # D8: 2 + B7: 1,2,3 # F7: 6,7 => UNS * INC # D8: 2 + B7: 1,2,3 # F8: 6,7 => UNS * INC # D8: 2 + B7: 1,2,3 # E9: 6,7 => UNS * INC # D8: 2 + B7: 1,2,3 # G7: 6,7 => UNS * INC # D8: 2 + B7: 1,2,3 # I7: 6,7 => UNS * INC # D8: 2 + B7: 1,2,3 # E6: 6,7 => UNS * INC # D8: 2 + B7: 1,2,3 # E6: 4,8,9 => UNS * INC # D8: 2 + B7: 1,2,3 => UNS * INC # E7: 2 # F8: 6,8 => UNS * INC # E7: 2 # D9: 6,8 => UNS * INC # E7: 2 # E9: 6,8 => UNS * INC # E7: 2 # H8: 6,8 => UNS * INC # E7: 2 # H8: 4 => UNS * INC # E7: 2 # D3: 6,8 => UNS * INC # E7: 2 # D4: 6,8 => UNS * INC # E7: 2 # D6: 6,8 => UNS * INC # E7: 2 => UNS * CNT 40 HDP CHAINS / 40 HYP OPENED
Full list of HDP chains traversed for B6,B9: 9..:
* INC # B6: 9 # A4: 1,2 => UNS * INC # B6: 9 # A5: 1,2 => UNS * INC # B6: 9 # B5: 1,2 => UNS * INC # B6: 9 # C1: 1,2 => UNS * INC # B6: 9 # C2: 1,2 => UNS * INC # B6: 9 # A6: 3,5 => UNS * INC # B6: 9 # A6: 7,8 => UNS * INC # B6: 9 # C1: 3,5 => UNS * INC # B6: 9 # C2: 3,5 => UNS * INC # B6: 9 => UNS * INC # B9: 9 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for B9,C9: 9..:
* INC # C9: 9 # A4: 1,2 => UNS * INC # C9: 9 # A5: 1,2 => UNS * INC # C9: 9 # B5: 1,2 => UNS * INC # C9: 9 # C1: 1,2 => UNS * INC # C9: 9 # C2: 1,2 => UNS * INC # C9: 9 # A6: 3,5 => UNS * INC # C9: 9 # A6: 7,8 => UNS * INC # C9: 9 # C1: 3,5 => UNS * INC # C9: 9 # C2: 3,5 => UNS * INC # C9: 9 => UNS * INC # B9: 9 => UNS * CNT 11 HDP CHAINS / 11 HYP OPENED
Full list of HDP chains traversed for F3,F4: 9..:
* INC # F3: 9 # A6: 3,5 => UNS * INC # F3: 9 # B6: 3,5 => UNS * INC # F3: 9 # C1: 3,5 => UNS * INC # F3: 9 # C2: 3,5 => UNS * INC # F3: 9 # C9: 3,5 => UNS * INC # F3: 9 => UNS * INC # F4: 9 # A4: 1,2 => UNS * INC # F4: 9 # A5: 1,2 => UNS * INC # F4: 9 # B5: 1,2 => UNS * INC # F4: 9 # C1: 1,2 => UNS * INC # F4: 9 # C2: 1,2 => UNS * INC # F4: 9 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for E3,E6: 9..:
* INC # E3: 9 # A4: 1,2 => UNS * INC # E3: 9 # A5: 1,2 => UNS * INC # E3: 9 # B5: 1,2 => UNS * INC # E3: 9 # C1: 1,2 => UNS * INC # E3: 9 # C2: 1,2 => UNS * INC # E3: 9 => UNS * INC # E6: 9 # A6: 3,5 => UNS * INC # E6: 9 # B6: 3,5 => UNS * INC # E6: 9 # C1: 3,5 => UNS * INC # E6: 9 # C2: 3,5 => UNS * INC # E6: 9 # C9: 3,5 => UNS * INC # E6: 9 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for C4,F4: 9..:
* INC # C4: 9 # A6: 3,5 => UNS * INC # C4: 9 # B6: 3,5 => UNS * INC # C4: 9 # C1: 3,5 => UNS * INC # C4: 9 # C2: 3,5 => UNS * INC # C4: 9 # C9: 3,5 => UNS * INC # C4: 9 => UNS * INC # F4: 9 # A4: 1,2 => UNS * INC # F4: 9 # A5: 1,2 => UNS * INC # F4: 9 # B5: 1,2 => UNS * INC # F4: 9 # C1: 1,2 => UNS * INC # F4: 9 # C2: 1,2 => UNS * INC # F4: 9 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for F4,E6: 9..:
* INC # F4: 9 # A4: 1,2 => UNS * INC # F4: 9 # A5: 1,2 => UNS * INC # F4: 9 # B5: 1,2 => UNS * INC # F4: 9 # C1: 1,2 => UNS * INC # F4: 9 # C2: 1,2 => UNS * INC # F4: 9 => UNS * INC # E6: 9 # A6: 3,5 => UNS * INC # E6: 9 # B6: 3,5 => UNS * INC # E6: 9 # C1: 3,5 => UNS * INC # E6: 9 # C2: 3,5 => UNS * INC # E6: 9 # C9: 3,5 => UNS * INC # E6: 9 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for E3,F3: 9..:
* INC # E3: 9 # A4: 1,2 => UNS * INC # E3: 9 # A5: 1,2 => UNS * INC # E3: 9 # B5: 1,2 => UNS * INC # E3: 9 # C1: 1,2 => UNS * INC # E3: 9 # C2: 1,2 => UNS * INC # E3: 9 => UNS * INC # F3: 9 # A6: 3,5 => UNS * INC # F3: 9 # B6: 3,5 => UNS * INC # F3: 9 # C1: 3,5 => UNS * INC # F3: 9 # C2: 3,5 => UNS * INC # F3: 9 # C9: 3,5 => UNS * INC # F3: 9 => UNS * CNT 12 HDP CHAINS / 12 HYP OPENED
Full list of HDP chains traversed for F7,D9: 3..:
* INC # F7: 3 # D8: 6,8 => UNS * INC # F7: 3 # F8: 6,8 => UNS * INC # F7: 3 # E9: 6,8 => UNS * INC # F7: 3 # G9: 6,8 => UNS * INC # F7: 3 # H9: 6,8 => UNS * INC # F7: 3 # D3: 6,8 => UNS * INC # F7: 3 # D4: 6,8 => UNS * INC # F7: 3 # D6: 6,8 => UNS * INC # F7: 3 => UNS * INC # D9: 3 # E7: 6,7 => UNS * INC # D9: 3 # F8: 6,7 => UNS * INC # D9: 3 # E9: 6,7 => UNS * INC # D9: 3 # B7: 6,7 => UNS * INC # D9: 3 # G7: 6,7 => UNS * INC # D9: 3 # I7: 6,7 => UNS * INC # D9: 3 # F4: 6,7 => UNS * INC # D9: 3 # F4: 1,8,9 => UNS * INC # D9: 3 => UNS * CNT 18 HDP CHAINS / 18 HYP OPENED
Full list of HDP chains traversed for H4,G5: 2..:
* INC # H4: 2 # F4: 1,9 => UNS * INC # H4: 2 # F4: 6,7,8 => UNS * INC # H4: 2 # C9: 1,9 => UNS * INC # H4: 2 # C9: 3,5 => UNS * INC # H4: 2 => UNS * INC # G5: 2 # I4: 6,8 => UNS * INC # G5: 2 # G6: 6,8 => UNS * DIS # G5: 2 # H6: 6,8 => CTR => H6: 3,4 * INC # G5: 2 + H6: 3,4 # D4: 6,8 => UNS * INC # G5: 2 + H6: 3,4 # F4: 6,8 => UNS * DIS # G5: 2 + H6: 3,4 # H3: 6,8 => CTR => H3: 1,2,3,4 * INC # G5: 2 + H6: 3,4 + H3: 1,2,3,4 # H8: 6,8 => UNS * PRF # G5: 2 + H6: 3,4 + H3: 1,2,3,4 # H9: 6,8 => SOL * STA # G5: 2 + H6: 3,4 + H3: 1,2,3,4 + H9: 6,8 * CNT 13 HDP CHAINS / 14 HYP OPENED