Analysis of xx-ph-00027328-KC40b-base.sdk
Contents
Original Sudoku
level: deep
position: 98.76....7...5......4..87..4....38....3....2....5....1.4...59....9.1...5...2...6. initial
Autosolve
position: 98.76....7...5......4..87..4....38....3....2....5....1.4...59....9.1...5...2...6. autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000006
List of important HDP chains detected for B2,D2: 3..:
* DIS # D2: 3 # I3: 2,9 => CTR => I3: 6 * DIS # D2: 3 + I3: 6 # E6: 2,9 => CTR => E6: 4,7,8 * DIS # D2: 3 + I3: 6 + E6: 4,7,8 # D8: 6,8 => CTR => D8: 4 * DIS # D2: 3 + I3: 6 + E6: 4,7,8 + D8: 4 # F5: 6,7 => CTR => F5: 1,9 * DIS # D2: 3 + I3: 6 + E6: 4,7,8 + D8: 4 + F5: 1,9 # F6: 6,7 => CTR => F6: 2,9 * DIS # D2: 3 + I3: 6 + E6: 4,7,8 + D8: 4 + F5: 1,9 + F6: 2,9 => CTR => D2: 1,4,9 * STA D2: 1,4,9 * CNT 6 HDP CHAINS / 28 HYP OPENED
List of important HDP chains detected for G1,G5: 5..:
* DIS # G1: 5 # G2: 4,6 => CTR => G2: 1,2 * DIS # G1: 5 + G2: 1,2 # C7: 1,2 => CTR => C7: 6,7,8 * DIS # G1: 5 + G2: 1,2 + C7: 6,7,8 # B4: 7,9 => CTR => B4: 1,2,6 * DIS # G5: 5 # B4: 7,9 => CTR => B4: 1,2,5,6 * PRF # G5: 5 + B4: 1,2,5,6 # E4: 7,9 => SOL * STA # G5: 5 + B4: 1,2,5,6 + E4: 7,9 * CNT 5 HDP CHAINS / 90 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
| 98.76....7...5......4..87..4....38....3....2....5....1.4...59....9.1...5...2...6. | initial |
| 98.76....7...5......4..87..4....38....3....2....5....1.4...59....9.1...5...2...6. | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) H7,G9: 1.. / H7 = 1 => 2 pairs (_) / G9 = 1 => 0 pairs (_) I7,G8: 2.. / I7 = 2 => 3 pairs (_) / G8 = 2 => 0 pairs (_) G6,H6: 3.. / G6 = 3 => 2 pairs (_) / H6 = 3 => 1 pairs (_) B2,D2: 3.. / B2 = 3 => 0 pairs (_) / D2 = 3 => 5 pairs (_) H4,G5: 5.. / H4 = 5 => 3 pairs (_) / G5 = 5 => 1 pairs (_) G1,G5: 5.. / G1 = 5 => 3 pairs (_) / G5 = 5 => 1 pairs (_) H2,I2: 8.. / H2 = 8 => 0 pairs (_) / I2 = 8 => 0 pairs (_) E9,F9: 9.. / E9 = 9 => 3 pairs (_) / F9 = 9 => 0 pairs (_) * DURATION: 0:00:04.982553 START: 10:07:24.615131 END: 10:07:29.597684 2020-12-09 * CP COUNT: (8) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) B2,D2: 3.. / B2 = 3 => 0 pairs (_) / D2 = 3 ==> 0 pairs (X) G1,G5: 5.. / G1 = 5 ==> 5 pairs (_) / G5 = 5 ==> 0 pairs (*) * DURATION: 0:01:00.516984 START: 10:07:29.598242 END: 10:08:30.115226 2020-12-09 * REASONING B2,D2: 3.. * DIS # D2: 3 # I3: 2,9 => CTR => I3: 6 * DIS # D2: 3 + I3: 6 # E6: 2,9 => CTR => E6: 4,7,8 * DIS # D2: 3 + I3: 6 + E6: 4,7,8 # D8: 6,8 => CTR => D8: 4 * DIS # D2: 3 + I3: 6 + E6: 4,7,8 + D8: 4 # F5: 6,7 => CTR => F5: 1,9 * DIS # D2: 3 + I3: 6 + E6: 4,7,8 + D8: 4 + F5: 1,9 # F6: 6,7 => CTR => F6: 2,9 * DIS # D2: 3 + I3: 6 + E6: 4,7,8 + D8: 4 + F5: 1,9 + F6: 2,9 => CTR => D2: 1,4,9 * STA D2: 1,4,9 * CNT 6 HDP CHAINS / 28 HYP OPENED * REASONING G1,G5: 5.. * DIS # G1: 5 # G2: 4,6 => CTR => G2: 1,2 * DIS # G1: 5 + G2: 1,2 # C7: 1,2 => CTR => C7: 6,7,8 * DIS # G1: 5 + G2: 1,2 + C7: 6,7,8 # B4: 7,9 => CTR => B4: 1,2,6 * DIS # G5: 5 # B4: 7,9 => CTR => B4: 1,2,5,6 * PRF # G5: 5 + B4: 1,2,5,6 # E4: 7,9 => SOL * STA # G5: 5 + B4: 1,2,5,6 + E4: 7,9 * CNT 5 HDP CHAINS / 90 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
27328;KC40b;GP;24;11.30;11.30;2.80
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for B2,D2: 3..:
* INC # D2: 3 # F2: 1,9 => UNS * INC # D2: 3 # F2: 2,4 => UNS * INC # D2: 3 # H3: 1,9 => UNS * INC # D2: 3 # H3: 5 => UNS * INC # D2: 3 # D4: 1,9 => UNS * INC # D2: 3 # D5: 1,9 => UNS * INC # D2: 3 # F2: 2,9 => UNS * INC # D2: 3 # F2: 1,4 => UNS * DIS # D2: 3 # I3: 2,9 => CTR => I3: 6 * INC # D2: 3 + I3: 6 # E4: 2,9 => UNS * DIS # D2: 3 + I3: 6 # E6: 2,9 => CTR => E6: 4,7,8 * INC # D2: 3 + I3: 6 + E6: 4,7,8 # E4: 2,9 => UNS * INC # D2: 3 + I3: 6 + E6: 4,7,8 # E4: 7 => UNS * INC # D2: 3 + I3: 6 + E6: 4,7,8 # F2: 2,9 => UNS * INC # D2: 3 + I3: 6 + E6: 4,7,8 # F2: 1,4 => UNS * INC # D2: 3 + I3: 6 + E6: 4,7,8 # E4: 2,9 => UNS * INC # D2: 3 + I3: 6 + E6: 4,7,8 # E4: 7 => UNS * DIS # D2: 3 + I3: 6 + E6: 4,7,8 # D8: 6,8 => CTR => D8: 4 * INC # D2: 3 + I3: 6 + E6: 4,7,8 + D8: 4 # A7: 6,8 => UNS * INC # D2: 3 + I3: 6 + E6: 4,7,8 + D8: 4 # C7: 6,8 => UNS * INC # D2: 3 + I3: 6 + E6: 4,7,8 + D8: 4 # D5: 6,8 => UNS * INC # D2: 3 + I3: 6 + E6: 4,7,8 + D8: 4 # D5: 1,9 => UNS * INC # D2: 3 + I3: 6 + E6: 4,7,8 + D8: 4 # B8: 6,7 => UNS * INC # D2: 3 + I3: 6 + E6: 4,7,8 + D8: 4 # B8: 2,3 => UNS * DIS # D2: 3 + I3: 6 + E6: 4,7,8 + D8: 4 # F5: 6,7 => CTR => F5: 1,9 * DIS # D2: 3 + I3: 6 + E6: 4,7,8 + D8: 4 + F5: 1,9 # F6: 6,7 => CTR => F6: 2,9 * DIS # D2: 3 + I3: 6 + E6: 4,7,8 + D8: 4 + F5: 1,9 + F6: 2,9 => CTR => D2: 1,4,9 * INC D2: 1,4,9 # B2: 3 => UNS * STA D2: 1,4,9 * CNT 28 HDP CHAINS / 28 HYP OPENED
Full list of HDP chains traversed for G1,G5: 5..:
* INC # G1: 5 # B2: 1,2 => UNS * INC # G1: 5 # C2: 1,2 => UNS * INC # G1: 5 # A3: 1,2 => UNS * INC # G1: 5 # B3: 1,2 => UNS * INC # G1: 5 # F1: 1,2 => UNS * INC # G1: 5 # F1: 4 => UNS * INC # G1: 5 # C4: 1,2 => UNS * INC # G1: 5 # C7: 1,2 => UNS * INC # G1: 5 # H2: 1,9 => UNS * INC # G1: 5 # H2: 4,8 => UNS * INC # G1: 5 # D3: 1,9 => UNS * INC # G1: 5 # D3: 3 => UNS * INC # G1: 5 # I5: 4,6 => UNS * INC # G1: 5 # G6: 4,6 => UNS * INC # G1: 5 # D5: 4,6 => UNS * INC # G1: 5 # F5: 4,6 => UNS * DIS # G1: 5 # G2: 4,6 => CTR => G2: 1,2 * INC # G1: 5 + G2: 1,2 # G6: 4,6 => UNS * INC # G1: 5 + G2: 1,2 # G6: 3 => UNS * INC # G1: 5 + G2: 1,2 # D5: 4,6 => UNS * INC # G1: 5 + G2: 1,2 # F5: 4,6 => UNS * INC # G1: 5 + G2: 1,2 # B2: 1,2 => UNS * INC # G1: 5 + G2: 1,2 # C2: 1,2 => UNS * INC # G1: 5 + G2: 1,2 # A3: 1,2 => UNS * INC # G1: 5 + G2: 1,2 # B3: 1,2 => UNS * INC # G1: 5 + G2: 1,2 # F1: 1,2 => UNS * INC # G1: 5 + G2: 1,2 # F1: 4 => UNS * INC # G1: 5 + G2: 1,2 # C4: 1,2 => UNS * DIS # G1: 5 + G2: 1,2 # C7: 1,2 => CTR => C7: 6,7,8 * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # C4: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # C4: 6,7 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # B2: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # C2: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # A3: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # B3: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # F1: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # F1: 4 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # C4: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # C4: 6,7 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # B2: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # C2: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # F2: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # H2: 1,9 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # H2: 4,8 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # D3: 1,9 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # D3: 3 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # I5: 7,9 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 # H6: 7,9 => UNS * DIS # G1: 5 + G2: 1,2 + C7: 6,7,8 # B4: 7,9 => CTR => B4: 1,2,6 * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # E4: 7,9 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # E4: 7,9 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # E4: 2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # I5: 7,9 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # H6: 7,9 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # E4: 7,9 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # E4: 2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # G6: 4,6 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # G6: 3 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # D5: 4,6 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # F5: 4,6 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # B2: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # C2: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # A3: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # B3: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # F1: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # F1: 4 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # C4: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # C4: 6,7 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # B2: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # C2: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # F2: 1,2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # H2: 1,9 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # H2: 4,8 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # D3: 1,9 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # D3: 3 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # I5: 7,9 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # H6: 7,9 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # E4: 7,9 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # E4: 2 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # G6: 4,6 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # G6: 3 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # D5: 4,6 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 # F5: 4,6 => UNS * INC # G1: 5 + G2: 1,2 + C7: 6,7,8 + B4: 1,2,6 => UNS * INC # G5: 5 # I4: 7,9 => UNS * INC # G5: 5 # I5: 7,9 => UNS * INC # G5: 5 # H6: 7,9 => UNS * DIS # G5: 5 # B4: 7,9 => CTR => B4: 1,2,5,6 * PRF # G5: 5 + B4: 1,2,5,6 # E4: 7,9 => SOL * STA # G5: 5 + B4: 1,2,5,6 + E4: 7,9 * CNT 89 HDP CHAINS / 90 HYP OPENED