Analysis of xx-ph-00015913-Kz1_b-base.sdk
Contents
Original Sudoku
level: deep
position: 98.7.....6.....87...7.....5.4..3.2....94...6......1..4..86...5.....2...1.....43.. initial
Autosolve
position: 98.7.....6.....87...7.....5.4..3.2....94...6......1..4..86...5.....2...1.....43.. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000008
List of important HDP chains detected for H4,G5: 1..:
* DIS # G5: 1 # G3: 4,6 => CTR => G3: 9 * DIS # G5: 1 + G3: 9 # H6: 8,9 => CTR => H6: 3 * DIS # G5: 1 + G3: 9 + H6: 3 # H9: 8,9 => CTR => H9: 2 * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 # B2: 2,3 => CTR => B2: 1,5 * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 # E3: 1,4 => CTR => E3: 6,8 * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 # B6: 2,6 => CTR => B6: 7 * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 + B6: 7 # F4: 5,8 => CTR => F4: 6,7 * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 + B6: 7 + F4: 6,7 # E5: 5,8 => CTR => E5: 7 * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 + B6: 7 + F4: 6,7 + E5: 7 => CTR => G5: 5,7 * STA G5: 5,7 * CNT 9 HDP CHAINS / 31 HYP OPENED
List of important HDP chains detected for I5,H6: 3..:
* DIS # I5: 3 # H4: 8,9 => CTR => H4: 1 * PRF # I5: 3 + H4: 1 # H9: 8,9 => SOL * STA # I5: 3 + H4: 1 + H9: 8,9 * CNT 2 HDP CHAINS / 19 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..3.2....94...6......1..4..86...5.....2...1.....43.. | initial |
| 98.7.....6.....87...7.....5.4..3.2....94...6......1..4..86...5.....2...1.....43.. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H4,G5: 1.. / H4 = 1 => 2 pairs (_) / G5 = 1 => 3 pairs (_) F5,D6: 2.. / F5 = 2 => 0 pairs (_) / D6 = 2 => 0 pairs (_) I5,H6: 3.. / I5 = 3 => 3 pairs (_) / H6 = 3 => 1 pairs (_) C2,E2: 4.. / C2 = 4 => 0 pairs (_) / E2 = 4 => 0 pairs (_) A7,G7: 4.. / A7 = 4 => 1 pairs (_) / G7 = 4 => 2 pairs (_) G5,G6: 5.. / G5 = 5 => 3 pairs (_) / G6 = 5 => 1 pairs (_) F4,E6: 6.. / F4 = 6 => 1 pairs (_) / E6 = 6 => 0 pairs (_) G8,I9: 6.. / G8 = 6 => 1 pairs (_) / I9 = 6 => 3 pairs (_) C4,F4: 6.. / C4 = 6 => 0 pairs (_) / F4 = 6 => 1 pairs (_) I1,I9: 6.. / I1 = 6 => 1 pairs (_) / I9 = 6 => 3 pairs (_) * DURATION: 0:00:06.514642 START: 05:52:36.483752 END: 05:52:42.998394 2020-12-04 * CP COUNT: (10) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) H4,G5: 1.. / H4 = 1 => 2 pairs (_) / G5 = 1 ==> 0 pairs (X) I1,I9: 6.. / I1 = 6 ==> 1 pairs (_) / I9 = 6 ==> 3 pairs (_) G8,I9: 6.. / G8 = 6 ==> 1 pairs (_) / I9 = 6 ==> 3 pairs (_) G5,G6: 5.. / G5 = 5 ==> 3 pairs (_) / G6 = 5 ==> 1 pairs (_) I5,H6: 3.. / I5 = 3 ==> 0 pairs (*) / H6 = 3 => 0 pairs (X) * DURATION: 0:01:01.159862 START: 05:52:42.999089 END: 05:53:44.158951 2020-12-04 * REASONING H4,G5: 1.. * DIS # G5: 1 # G3: 4,6 => CTR => G3: 9 * DIS # G5: 1 + G3: 9 # H6: 8,9 => CTR => H6: 3 * DIS # G5: 1 + G3: 9 + H6: 3 # H9: 8,9 => CTR => H9: 2 * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 # B2: 2,3 => CTR => B2: 1,5 * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 # E3: 1,4 => CTR => E3: 6,8 * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 # B6: 2,6 => CTR => B6: 7 * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 + B6: 7 # F4: 5,8 => CTR => F4: 6,7 * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 + B6: 7 + F4: 6,7 # E5: 5,8 => CTR => E5: 7 * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 + B6: 7 + F4: 6,7 + E5: 7 => CTR => G5: 5,7 * STA G5: 5,7 * CNT 9 HDP CHAINS / 31 HYP OPENED * REASONING I5,H6: 3.. * DIS # I5: 3 # H4: 8,9 => CTR => H4: 1 * PRF # I5: 3 + H4: 1 # H9: 8,9 => SOL * STA # I5: 3 + H4: 1 + H9: 8,9 * CNT 2 HDP CHAINS / 19 HYP OPENED * DCP COUNT: (5) * SOLUTION FOUND
Header Info
15913;Kz1 b;GP;23;11.30;11.30;10.00
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for H4,G5: 1..:
* DIS # G5: 1 # G3: 4,6 => CTR => G3: 9 * INC # G5: 1 + G3: 9 # G8: 4,6 => UNS * INC # G5: 1 + G3: 9 # G8: 7 => UNS * INC # G5: 1 + G3: 9 # I4: 8,9 => UNS * DIS # G5: 1 + G3: 9 # H6: 8,9 => CTR => H6: 3 * INC # G5: 1 + G3: 9 + H6: 3 # I4: 8,9 => UNS * INC # G5: 1 + G3: 9 + H6: 3 # I4: 7 => UNS * INC # G5: 1 + G3: 9 + H6: 3 # H8: 8,9 => UNS * DIS # G5: 1 + G3: 9 + H6: 3 # H9: 8,9 => CTR => H9: 2 * INC # G5: 1 + G3: 9 + H6: 3 + H9: 2 # C1: 1,4 => UNS * INC # G5: 1 + G3: 9 + H6: 3 + H9: 2 # E1: 1,4 => UNS * INC # G5: 1 + G3: 9 + H6: 3 + H9: 2 # C1: 2,3 => UNS * INC # G5: 1 + G3: 9 + H6: 3 + H9: 2 # F1: 2,3 => UNS * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 # B2: 2,3 => CTR => B2: 1,5 * INC # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 # C2: 2,3 => UNS * INC # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 # D2: 2,3 => UNS * INC # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 # F2: 2,3 => UNS * INC # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 # C2: 2,3 => UNS * INC # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 # D2: 2,3 => UNS * INC # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 # F2: 2,3 => UNS * INC # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 # A3: 1,4 => UNS * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 # E3: 1,4 => CTR => E3: 6,8 * INC # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 # A3: 1,4 => UNS * INC # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 # A3: 2,3 => UNS * INC # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 # A3: 1,4 => UNS * INC # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 # A3: 2,3 => UNS * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 # B6: 2,6 => CTR => B6: 7 * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 + B6: 7 # F4: 5,8 => CTR => F4: 6,7 * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 + B6: 7 + F4: 6,7 # E5: 5,8 => CTR => E5: 7 * DIS # G5: 1 + G3: 9 + H6: 3 + H9: 2 + B2: 1,5 + E3: 6,8 + B6: 7 + F4: 6,7 + E5: 7 => CTR => G5: 5,7 * INC G5: 5,7 # H4: 1 => UNS * STA G5: 5,7 * CNT 31 HDP CHAINS / 31 HYP OPENED
Full list of HDP chains traversed for I1,I9: 6..:
* INC # I9: 6 # H1: 2,3 => UNS * INC # I9: 6 # I2: 2,3 => UNS * INC # I9: 6 # H3: 2,3 => UNS * INC # I9: 6 # C1: 2,3 => UNS * INC # I9: 6 # F1: 2,3 => UNS * INC # I9: 6 # H3: 1,9 => UNS * INC # I9: 6 # H3: 2,3,4 => UNS * INC # I9: 6 # H3: 3,9 => UNS * INC # I9: 6 # H3: 1,2,4 => UNS * INC # I9: 6 => UNS * INC # I1: 6 # H1: 1,4 => UNS * INC # I1: 6 # G3: 1,4 => UNS * INC # I1: 6 # H3: 1,4 => UNS * INC # I1: 6 # C1: 1,4 => UNS * INC # I1: 6 # E1: 1,4 => UNS * INC # I1: 6 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for G8,I9: 6..:
* INC # I9: 6 # H1: 2,3 => UNS * INC # I9: 6 # I2: 2,3 => UNS * INC # I9: 6 # H3: 2,3 => UNS * INC # I9: 6 # C1: 2,3 => UNS * INC # I9: 6 # F1: 2,3 => UNS * INC # I9: 6 # H3: 1,9 => UNS * INC # I9: 6 # H3: 2,3,4 => UNS * INC # I9: 6 # H3: 3,9 => UNS * INC # I9: 6 # H3: 1,2,4 => UNS * INC # I9: 6 => UNS * INC # G8: 6 # H1: 1,4 => UNS * INC # G8: 6 # G3: 1,4 => UNS * INC # G8: 6 # H3: 1,4 => UNS * INC # G8: 6 # C1: 1,4 => UNS * INC # G8: 6 # E1: 1,4 => UNS * INC # G8: 6 => UNS * CNT 16 HDP CHAINS / 16 HYP OPENED
Full list of HDP chains traversed for G5,G6: 5..:
* INC # G5: 5 # B6: 5,6 => UNS * INC # G5: 5 # C6: 5,6 => UNS * INC # G5: 5 # F4: 5,6 => UNS * INC # G5: 5 # F4: 7,8,9 => UNS * INC # G5: 5 # C8: 5,6 => UNS * INC # G5: 5 # C9: 5,6 => UNS * INC # G5: 5 # F4: 7,8 => UNS * INC # G5: 5 # F5: 7,8 => UNS * INC # G5: 5 # E6: 7,8 => UNS * INC # G5: 5 # A5: 7,8 => UNS * INC # G5: 5 # I5: 7,8 => UNS * INC # G5: 5 # E9: 7,8 => UNS * INC # G5: 5 # E9: 1,5,9 => UNS * INC # G5: 5 # I4: 7,9 => UNS * INC # G5: 5 # I4: 8 => UNS * INC # G5: 5 # E6: 7,9 => UNS * INC # G5: 5 # E6: 5,6,8 => UNS * INC # G5: 5 # G7: 7,9 => UNS * INC # G5: 5 # G8: 7,9 => UNS * INC # G5: 5 => UNS * INC # G6: 5 # A5: 1,7 => UNS * INC # G6: 5 # B5: 1,7 => UNS * INC # G6: 5 => UNS * CNT 23 HDP CHAINS / 23 HYP OPENED
Full list of HDP chains traversed for I5,H6: 3..:
* INC # I5: 3 # F1: 2,6 => UNS * INC # I5: 3 # F1: 3,5 => UNS * INC # I5: 3 # I9: 2,6 => UNS * INC # I5: 3 # I9: 7,8,9 => UNS * INC # I5: 3 # H3: 2,9 => UNS * INC # I5: 3 # H3: 1,3,4 => UNS * INC # I5: 3 # D2: 2,9 => UNS * INC # I5: 3 # F2: 2,9 => UNS * INC # I5: 3 # I7: 2,9 => UNS * INC # I5: 3 # I9: 2,9 => UNS * DIS # I5: 3 # H4: 8,9 => CTR => H4: 1 * INC # I5: 3 + H4: 1 # I4: 8,9 => UNS * INC # I5: 3 + H4: 1 # I4: 8,9 => UNS * INC # I5: 3 + H4: 1 # I4: 7 => UNS * INC # I5: 3 + H4: 1 # D6: 8,9 => UNS * INC # I5: 3 + H4: 1 # E6: 8,9 => UNS * INC # I5: 3 + H4: 1 # H8: 8,9 => UNS * PRF # I5: 3 + H4: 1 # H9: 8,9 => SOL * STA # I5: 3 + H4: 1 + H9: 8,9 * CNT 18 HDP CHAINS / 19 HYP OPENED