Analysis of xx-ph-00011523-kz0-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6.....87...7.....5.4..3.5....65...9......2..1..86...5.....1.3.......4..2 initial
Autosolve
position: 98.7.....6.....87...7.....5.4..3.5....65...9......2..1..86...5.....1.3.......4..2 autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
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 / 37 HYP OPENED
List of important HDP chains detected for H4,G5: 2..:
* DIS # H4: 2 # F4: 1,9 => CTR => F4: 6,7,8 * DIS # G5: 2 # H6: 6,8 => CTR => H6: 3,4 * PRF # G5: 2 + H6: 3,4 # H9: 6,8 => SOL * STA # G5: 2 + H6: 3,4 + H9: 6,8 * CNT 3 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
| 98.7.....6.....87...7.....5.4..3.5....65...9......2..1..86...5.....1.3.......4..2 | initial |
| 98.7.....6.....87...7.....5.4..3.5....65...9......2..1..86...5.....1.3.......4..2 | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H4,G5: 2.. / H4 = 2 => 2 pairs (_) / G5 = 2 => 1 pairs (_) E7,D8: 2.. / E7 = 2 => 1 pairs (_) / D8 = 2 => 1 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 => 0 pairs (_) / E9 = 5 => 0 pairs (_) F4,E6: 6.. / F4 = 6 => 2 pairs (_) / E6 = 6 => 1 pairs (_) B8,B9: 6.. / B8 = 6 => 1 pairs (_) / B9 = 6 => 1 pairs (_) I2,G3: 9.. / I2 = 9 => 1 pairs (_) / G3 = 9 => 1 pairs (_) * DURATION: 0:00:06.594978 START: 19:42:00.984360 END: 19:42:07.579338 2017-04-29 * CP COUNT: (8) -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) F4,E6: 6.. / F4 = 6 ==> 2 pairs (_) / E6 = 6 ==> 1 pairs (_) I5,H6: 3.. / I5 = 3 ==> 3 pairs (_) / H6 = 3 ==> 1 pairs (_) H4,G5: 2.. / H4 = 2 ==> 2 pairs (_) / G5 = 2 ==> 0 pairs (*) * DURATION: 0:00:57.727069 START: 19:42:07.579856 END: 19:43:05.306925 2017-04-29 * 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 / 37 HYP OPENED * REASONING H4,G5: 2.. * DIS # H4: 2 # F4: 1,9 => CTR => F4: 6,7,8 * DIS # G5: 2 # H6: 6,8 => CTR => H6: 3,4 * PRF # G5: 2 + H6: 3,4 # H9: 6,8 => SOL * STA # G5: 2 + H6: 3,4 + H9: 6,8 * CNT 3 HDP CHAINS / 36 HYP OPENED * DCP COUNT: (3) * SOLUTION FOUND
Header Info
11523;kz0;GP;23;11.90;11.90;11.60
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for F4,E6: 6..:
* INC # F4: 6 # A4: 2,8 => UNS * INC # F4: 6 # A4: 1,7 => UNS * INC # F4: 6 # I5: 7,8 => UNS * INC # F4: 6 # I5: 3,4 => UNS * INC # F4: 6 # A4: 7,8 => UNS * INC # F4: 6 # A4: 1,2 => UNS * INC # F4: 6 # I8: 7,8 => UNS * INC # F4: 6 # I8: 4,6,9 => UNS * INC # F4: 6 => UNS * INC # E6: 6 # G5: 4,7 => UNS * INC # E6: 6 # I5: 4,7 => UNS * INC # E6: 6 # G7: 4,7 => UNS * INC # E6: 6 # G7: 1,9 => UNS * INC # E6: 6 => UNS * CNT 14 HDP CHAINS / 14 HYP OPENED
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 # I8: 4,6 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # I8: 7,8,9 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # G3: 4,9 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # G3: 1,2,6 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # D2: 4,9 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # E2: 4,9 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # I7: 4,9 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # I8: 4,9 => 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 # I8: 4,6 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # I8: 7,8,9 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # G3: 4,9 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # G3: 1,2,6 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # D2: 4,9 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # E2: 4,9 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # I7: 4,9 => UNS * INC # I5: 3 + G1: 1,2 + H1: 1,2,3 # I8: 4,9 => 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 # C8: 5,9 => UNS * INC # H6: 3 # C9: 5,9 => UNS * INC # H6: 3 => UNS * CNT 37 HDP CHAINS / 37 HYP OPENED
Full list of HDP chains traversed for H4,G5: 2..:
* INC # H4: 2 # D4: 1,9 => UNS * DIS # H4: 2 # F4: 1,9 => CTR => F4: 6,7,8 * INC # H4: 2 + F4: 6,7,8 # D4: 1,9 => UNS * INC # H4: 2 + F4: 6,7,8 # D4: 8 => UNS * INC # H4: 2 + F4: 6,7,8 # C9: 1,9 => UNS * INC # H4: 2 + F4: 6,7,8 # C9: 3,5 => UNS * INC # H4: 2 + F4: 6,7,8 # D4: 1,9 => UNS * INC # H4: 2 + F4: 6,7,8 # D4: 8 => UNS * INC # H4: 2 + F4: 6,7,8 # C9: 1,9 => UNS * INC # H4: 2 + F4: 6,7,8 # C9: 3,5 => UNS * INC # H4: 2 + F4: 6,7,8 # I5: 4,7 => UNS * INC # H4: 2 + F4: 6,7,8 # G6: 4,7 => UNS * INC # H4: 2 + F4: 6,7,8 # E5: 4,7 => UNS * INC # H4: 2 + F4: 6,7,8 # E5: 8 => UNS * INC # H4: 2 + F4: 6,7,8 # G7: 4,7 => UNS * INC # H4: 2 + F4: 6,7,8 # G7: 1,9 => UNS * INC # H4: 2 + F4: 6,7,8 # D4: 1,9 => UNS * INC # H4: 2 + F4: 6,7,8 # D4: 8 => UNS * INC # H4: 2 + F4: 6,7,8 # C9: 1,9 => UNS * INC # H4: 2 + F4: 6,7,8 # C9: 3,5 => UNS * INC # H4: 2 + F4: 6,7,8 # I5: 4,7 => UNS * INC # H4: 2 + F4: 6,7,8 # G6: 4,7 => UNS * INC # H4: 2 + F4: 6,7,8 # E5: 4,7 => UNS * INC # H4: 2 + F4: 6,7,8 # E5: 8 => UNS * INC # H4: 2 + F4: 6,7,8 # G7: 4,7 => UNS * INC # H4: 2 + F4: 6,7,8 # G7: 1,9 => UNS * INC # H4: 2 + F4: 6,7,8 => UNS * INC # G5: 2 # I4: 6,8 => UNS * DIS # G5: 2 # H6: 6,8 => CTR => H6: 3,4 * INC # G5: 2 + H6: 3,4 # I4: 6,8 => UNS * INC # G5: 2 + H6: 3,4 # I4: 7 => UNS * INC # G5: 2 + H6: 3,4 # F4: 6,8 => UNS * INC # G5: 2 + H6: 3,4 # F4: 1,7,9 => UNS * INC # G5: 2 + H6: 3,4 # H8: 6,8 => UNS * PRF # G5: 2 + H6: 3,4 # H9: 6,8 => SOL * STA # G5: 2 + H6: 3,4 + H9: 6,8 * CNT 35 HDP CHAINS / 36 HYP OPENED