Analysis of xx-ph-01116435-13_09-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....7.....9...5.....8.6...4.3...2......8.....5.1...93..4.....47.........1.2. initial

Autosolve

position: 98.76....7.....9...5.....8.6...4.3...2......8.....5.1...93..4.....47.........1.2. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for B4,B6: 9..:

* DIS # B4: 9 # H7: 6 => CTR => H7: 5,7
* DIS # B4: 9 + H7: 5,7 # I1: 3,4 => CTR => I1: 1,2,5
* PRF # B4: 9 + H7: 5,7 + I1: 1,2,5 # I3: 3,4 => SOL
* STA # B4: 9 + H7: 5,7 + I1: 1,2,5 + I3: 3,4
* CNT   3 HDP CHAINS /  15 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.....9...5.....8.6...4.3...2......8.....5.1...93..4.....47.........1.2. initial
98.76....7.....9...5.....8.6...4.3...2......8.....5.1...93..4.....47.........1.2. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
H5,I6: 4.. / H5 = 4  =>  2 pairs (_) / I6 = 4  =>  1 pairs (_)
D2,E2: 5.. / D2 = 5  =>  0 pairs (_) / E2 = 5  =>  2 pairs (_)
D2,D9: 5.. / D2 = 5  =>  0 pairs (_) / D9 = 5  =>  2 pairs (_)
G3,I3: 7.. / G3 = 7  =>  2 pairs (_) / I3 = 7  =>  0 pairs (_)
F4,F5: 7.. / F4 = 7  =>  2 pairs (_) / F5 = 7  =>  1 pairs (_)
G8,G9: 8.. / G8 = 8  =>  0 pairs (_) / G9 = 8  =>  1 pairs (_)
B4,B6: 9.. / B4 = 9  =>  3 pairs (_) / B6 = 9  =>  1 pairs (_)
* DURATION: 0:00:04.398766  START: 17:37:01.283137  END: 17:37:05.681903 2020-10-04
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B4,B6: 9.. / B4 = 9 ==>  0 pairs (*) / B6 = 9  =>  0 pairs (X)
* DURATION: 0:00:13.916427  START: 17:37:05.682511  END: 17:37:19.598938 2020-10-04
* REASONING B4,B6: 9..
* DIS # B4: 9 # H7: 6 => CTR => H7: 5,7
* DIS # B4: 9 + H7: 5,7 # I1: 3,4 => CTR => I1: 1,2,5
* PRF # B4: 9 + H7: 5,7 + I1: 1,2,5 # I3: 3,4 => SOL
* STA # B4: 9 + H7: 5,7 + I1: 1,2,5 + I3: 3,4
* CNT   3 HDP CHAINS /  15 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1116435;13_09;GP;22;11.50;11.50;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B4,B6: 9..:

* INC # B4: 9 # I4: 5,7 => UNS
* INC # B4: 9 # G5: 5,7 => UNS
* INC # B4: 9 # C4: 5,7 => UNS
* INC # B4: 9 # C4: 1,8 => UNS
* INC # B4: 9 # H7: 5,7 => UNS
* DIS # B4: 9 # H7: 6 => CTR => H7: 5,7
* INC # B4: 9 + H7: 5,7 # I4: 5,7 => UNS
* INC # B4: 9 + H7: 5,7 # G5: 5,7 => UNS
* INC # B4: 9 + H7: 5,7 # C4: 5,7 => UNS
* INC # B4: 9 + H7: 5,7 # C4: 1,8 => UNS
* DIS # B4: 9 + H7: 5,7 # I1: 3,4 => CTR => I1: 1,2,5
* INC # B4: 9 + H7: 5,7 + I1: 1,2,5 # H2: 3,4 => UNS
* INC # B4: 9 + H7: 5,7 + I1: 1,2,5 # I2: 3,4 => UNS
* PRF # B4: 9 + H7: 5,7 + I1: 1,2,5 # I3: 3,4 => SOL
* STA # B4: 9 + H7: 5,7 + I1: 1,2,5 + I3: 3,4
* CNT  14 HDP CHAINS /  15 HYP OPENED