Analysis of xx-ph-00404579-12_12_03-base.sdk
Contents
Original Sudoku
level: deep
position: ........1.....2.3....45.6....1..7....8..4....49....5....3....2.56..9.8..8...6.... initial
Autosolve
position: ........1.....2.3....45.6....1..7....8..4....49....5....3....2656..9.8..8...6.... autosolve
Pair Reduction Variants
Deep Constraint Pair Analysis
Time used: 0:00:00.000007
List of important HDP chains detected for E4,E6: 2..:
* DIS # E4: 2 # A5: 3,6 => CTR => A5: 2,7 * DIS # E4: 2 + A5: 2,7 # G5: 2,7 => CTR => G5: 1,3,9 * DIS # E4: 2 + A5: 2,7 + G5: 1,3,9 # A3: 2,7 => CTR => A3: 1,3,9 * DIS # E4: 2 + A5: 2,7 + G5: 1,3,9 + A3: 1,3,9 # G2: 4,9 => CTR => G2: 7 * DIS # E4: 2 + A5: 2,7 + G5: 1,3,9 + A3: 1,3,9 + G2: 7 => CTR => E4: 3,8 * STA E4: 3,8 * CNT 5 HDP CHAINS / 21 HYP OPENED
List of important HDP chains detected for A7,G7: 9..:
* DIS # G7: 9 # H1: 4,7 => CTR => H1: 5,8,9 * DIS # G7: 9 + H1: 5,8,9 # I2: 4,7 => CTR => I2: 5,8,9 * DIS # G7: 9 + H1: 5,8,9 + I2: 5,8,9 # B7: 1,7 => CTR => B7: 4 * DIS # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 # B9: 2 => CTR => B9: 1,7 * DIS # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 + B9: 1,7 # D7: 1,7 => CTR => D7: 5,8 * DIS # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 + B9: 1,7 + D7: 5,8 # E7: 8 => CTR => E7: 1,7 * PRF # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 + B9: 1,7 + D7: 5,8 + E7: 1,7 # A2: 1,7 => SOL * STA # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 + B9: 1,7 + D7: 5,8 + E7: 1,7 + A2: 1,7 * CNT 7 HDP CHAINS / 17 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
| ........1.....2.3....45.6....1..7....8..4....49....5....3....2.56..9.8..8...6.... | initial |
| ........1.....2.3....45.6....1..7....8..4....49....5....3....2656..9.8..8...6.... | autosolve |
Classification
level: deep
Pairing Analysis
-------------------------------------------------- * CONSTRAINT PAIRS (AUTO SOLVE) G1,I3: 2.. / G1 = 2 => 0 pairs (_) / I3 = 2 => 0 pairs (_) E4,E6: 2.. / E4 = 2 => 2 pairs (_) / E6 = 2 => 2 pairs (_) D8,D9: 2.. / D8 = 2 => 1 pairs (_) / D9 = 2 => 1 pairs (_) C8,D8: 2.. / C8 = 2 => 1 pairs (_) / D8 = 2 => 1 pairs (_) H1,I2: 5.. / H1 = 5 => 0 pairs (_) / I2 = 5 => 0 pairs (_) B4,C5: 5.. / B4 = 5 => 0 pairs (_) / C5 = 5 => 1 pairs (_) D7,F7: 5.. / D7 = 5 => 0 pairs (_) / F7 = 5 => 0 pairs (_) H9,I9: 5.. / H9 = 5 => 0 pairs (_) / I9 = 5 => 0 pairs (_) B4,D4: 5.. / B4 = 5 => 0 pairs (_) / D4 = 5 => 1 pairs (_) F5,F7: 5.. / F5 = 5 => 0 pairs (_) / F7 = 5 => 0 pairs (_) H1,H9: 5.. / H1 = 5 => 0 pairs (_) / H9 = 5 => 0 pairs (_) I2,I9: 5.. / I2 = 5 => 0 pairs (_) / I9 = 5 => 0 pairs (_) A7,C9: 9.. / A7 = 9 => 0 pairs (_) / C9 = 9 => 2 pairs (_) A7,G7: 9.. / A7 = 9 => 0 pairs (_) / G7 = 9 => 2 pairs (_) * DURATION: 0:00:10.123912 START: 08:14:30.207278 END: 08:14:40.331190 2020-12-26 * CP COUNT: (14) * INCONCLUSIVE -------------------------------------------------- * DEEP CONSTRAINT PAIRS (PAIR REDUCTION) E4,E6: 2.. / E4 = 2 ==> 0 pairs (X) / E6 = 2 => 2 pairs (_) A7,G7: 9.. / A7 = 9 => 0 pairs (X) / G7 = 9 ==> 0 pairs (*) * DURATION: 0:00:32.258488 START: 08:14:40.331805 END: 08:15:12.590293 2020-12-26 * REASONING E4,E6: 2.. * DIS # E4: 2 # A5: 3,6 => CTR => A5: 2,7 * DIS # E4: 2 + A5: 2,7 # G5: 2,7 => CTR => G5: 1,3,9 * DIS # E4: 2 + A5: 2,7 + G5: 1,3,9 # A3: 2,7 => CTR => A3: 1,3,9 * DIS # E4: 2 + A5: 2,7 + G5: 1,3,9 + A3: 1,3,9 # G2: 4,9 => CTR => G2: 7 * DIS # E4: 2 + A5: 2,7 + G5: 1,3,9 + A3: 1,3,9 + G2: 7 => CTR => E4: 3,8 * STA E4: 3,8 * CNT 5 HDP CHAINS / 21 HYP OPENED * REASONING A7,G7: 9.. * DIS # G7: 9 # H1: 4,7 => CTR => H1: 5,8,9 * DIS # G7: 9 + H1: 5,8,9 # I2: 4,7 => CTR => I2: 5,8,9 * DIS # G7: 9 + H1: 5,8,9 + I2: 5,8,9 # B7: 1,7 => CTR => B7: 4 * DIS # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 # B9: 2 => CTR => B9: 1,7 * DIS # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 + B9: 1,7 # D7: 1,7 => CTR => D7: 5,8 * DIS # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 + B9: 1,7 + D7: 5,8 # E7: 8 => CTR => E7: 1,7 * PRF # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 + B9: 1,7 + D7: 5,8 + E7: 1,7 # A2: 1,7 => SOL * STA # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 + B9: 1,7 + D7: 5,8 + E7: 1,7 + A2: 1,7 * CNT 7 HDP CHAINS / 17 HYP OPENED * DCP COUNT: (2) * SOLUTION FOUND
Header Info
404579;12_12_03;dob;21;11.30;1.20;1.20
Appendix: Full HDP Chains
A1. Deep Constraint Pair Analysis
Full list of HDP chains traversed for E4,E6: 2..:
* DIS # E4: 2 # A5: 3,6 => CTR => A5: 2,7 * INC # E4: 2 + A5: 2,7 # A1: 3,6 => UNS * INC # E4: 2 + A5: 2,7 # A1: 2,7,9 => UNS * INC # E4: 2 + A5: 2,7 # B1: 3,5 => UNS * INC # E4: 2 + A5: 2,7 # B1: 2,4,7 => UNS * INC # E4: 2 + A5: 2,7 # A1: 3,6 => UNS * INC # E4: 2 + A5: 2,7 # A1: 2,7,9 => UNS * INC # E4: 2 + A5: 2,7 # B1: 3,5 => UNS * INC # E4: 2 + A5: 2,7 # B1: 2,4,7 => UNS * INC # E4: 2 + A5: 2,7 # C5: 2,7 => UNS * INC # E4: 2 + A5: 2,7 # C6: 2,7 => UNS * DIS # E4: 2 + A5: 2,7 # G5: 2,7 => CTR => G5: 1,3,9 * INC # E4: 2 + A5: 2,7 + G5: 1,3,9 # I5: 2,7 => UNS * INC # E4: 2 + A5: 2,7 + G5: 1,3,9 # I5: 2,7 => UNS * INC # E4: 2 + A5: 2,7 + G5: 1,3,9 # I5: 3,9 => UNS * DIS # E4: 2 + A5: 2,7 + G5: 1,3,9 # A3: 2,7 => CTR => A3: 1,3,9 * INC # E4: 2 + A5: 2,7 + G5: 1,3,9 + A3: 1,3,9 # H4: 4,9 => UNS * INC # E4: 2 + A5: 2,7 + G5: 1,3,9 + A3: 1,3,9 # I4: 4,9 => UNS * DIS # E4: 2 + A5: 2,7 + G5: 1,3,9 + A3: 1,3,9 # G2: 4,9 => CTR => G2: 7 * DIS # E4: 2 + A5: 2,7 + G5: 1,3,9 + A3: 1,3,9 + G2: 7 => CTR => E4: 3,8 * INC E4: 3,8 # E6: 2 => UNS * STA E4: 3,8 * CNT 21 HDP CHAINS / 21 HYP OPENED
Full list of HDP chains traversed for A7,G7: 9..:
* INC # G7: 9 # G1: 4,7 => UNS * DIS # G7: 9 # H1: 4,7 => CTR => H1: 5,8,9 * DIS # G7: 9 + H1: 5,8,9 # I2: 4,7 => CTR => I2: 5,8,9 * INC # G7: 9 + H1: 5,8,9 + I2: 5,8,9 # G1: 4,7 => UNS * INC # G7: 9 + H1: 5,8,9 + I2: 5,8,9 # G1: 2 => UNS * INC # G7: 9 + H1: 5,8,9 + I2: 5,8,9 # B2: 4,7 => UNS * INC # G7: 9 + H1: 5,8,9 + I2: 5,8,9 # C2: 4,7 => UNS * DIS # G7: 9 + H1: 5,8,9 + I2: 5,8,9 # B7: 1,7 => CTR => B7: 4 * INC # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 # B9: 1,7 => UNS * INC # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 # B9: 1,7 => UNS * DIS # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 # B9: 2 => CTR => B9: 1,7 * DIS # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 + B9: 1,7 # D7: 1,7 => CTR => D7: 5,8 * INC # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 + B9: 1,7 + D7: 5,8 # E7: 1,7 => UNS * INC # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 + B9: 1,7 + D7: 5,8 # E7: 1,7 => UNS * DIS # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 + B9: 1,7 + D7: 5,8 # E7: 8 => CTR => E7: 1,7 * PRF # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 + B9: 1,7 + D7: 5,8 + E7: 1,7 # A2: 1,7 => SOL * STA # G7: 9 + H1: 5,8,9 + I2: 5,8,9 + B7: 4 + B9: 1,7 + D7: 5,8 + E7: 1,7 + A2: 1,7 * CNT 16 HDP CHAINS / 17 HYP OPENED