Analysis of xx-ph-01417017-14_06-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7......8...6.....54...3.....7...21....89...5..3...4.....75...6.....1...2 initial

Autosolve

position: 98.7..6..7......8...6.....54...3.....7...21....89...5..3...4.....75...6.....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 F4,E5: 5..:

* DIS # E5: 5 # E2: 2,4 => CTR => E2: 6,9
* DIS # E5: 5 + E2: 6,9 # E3: 2,4 => CTR => E3: 8,9
* DIS # E5: 5 + E2: 6,9 + E3: 8,9 # A6: 3,6 => CTR => A6: 1,2
* PRF # E5: 5 + E2: 6,9 + E3: 8,9 + A6: 1,2 # B9: 4,9 => SOL
* STA # E5: 5 + E2: 6,9 + E3: 8,9 + A6: 1,2 + B9: 4,9
* CNT   4 HDP CHAINS /  14 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..7......8...6.....54...3.....7...21....89...5..3...4.....75...6.....1...2 initial
98.7..6..7......8...6.....54...3.....7...21....89...5..3...4.....75...6.....1...2 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
F4,E5: 5.. / F4 = 5  =>  1 pairs (_) / E5 = 5  =>  4 pairs (_)
G7,G9: 5.. / G7 = 5  =>  0 pairs (_) / G9 = 5  =>  2 pairs (_)
G3,H3: 7.. / G3 = 7  =>  0 pairs (_) / H3 = 7  =>  2 pairs (_)
E7,F9: 7.. / E7 = 7  =>  3 pairs (_) / F9 = 7  =>  2 pairs (_)
E6,E7: 7.. / E6 = 7  =>  2 pairs (_) / E7 = 7  =>  3 pairs (_)
* DURATION: 0:00:03.352956  START: 05:55:10.299286  END: 05:55:13.652242 2020-10-24
* CP COUNT: (5)
* INCONCLUSIVE

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* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F4,E5: 5.. / F4 = 5  =>  0 pairs (X) / E5 = 5 ==>  0 pairs (*)
* DURATION: 0:00:12.767150  START: 05:55:13.652906  END: 05:55:26.420056 2020-10-24
* REASONING F4,E5: 5..
* DIS # E5: 5 # E2: 2,4 => CTR => E2: 6,9
* DIS # E5: 5 + E2: 6,9 # E3: 2,4 => CTR => E3: 8,9
* DIS # E5: 5 + E2: 6,9 + E3: 8,9 # A6: 3,6 => CTR => A6: 1,2
* PRF # E5: 5 + E2: 6,9 + E3: 8,9 + A6: 1,2 # B9: 4,9 => SOL
* STA # E5: 5 + E2: 6,9 + E3: 8,9 + A6: 1,2 + B9: 4,9
* CNT   4 HDP CHAINS /  14 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1417017;14_06;GP;23;11.40;11.40;7.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F4,E5: 5..:

* INC # E5: 5 # D2: 2,4 => UNS
* DIS # E5: 5 # E2: 2,4 => CTR => E2: 6,9
* INC # E5: 5 + E2: 6,9 # D3: 2,4 => UNS
* DIS # E5: 5 + E2: 6,9 # E3: 2,4 => CTR => E3: 8,9
* INC # E5: 5 + E2: 6,9 + E3: 8,9 # C1: 2,4 => UNS
* INC # E5: 5 + E2: 6,9 + E3: 8,9 # H1: 2,4 => UNS
* INC # E5: 5 + E2: 6,9 + E3: 8,9 # D2: 2,4 => UNS
* INC # E5: 5 + E2: 6,9 + E3: 8,9 # D3: 2,4 => UNS
* INC # E5: 5 + E2: 6,9 + E3: 8,9 # C1: 2,4 => UNS
* INC # E5: 5 + E2: 6,9 + E3: 8,9 # H1: 2,4 => UNS
* DIS # E5: 5 + E2: 6,9 + E3: 8,9 # A6: 3,6 => CTR => A6: 1,2
* INC # E5: 5 + E2: 6,9 + E3: 8,9 + A6: 1,2 # B8: 4,9 => UNS
* PRF # E5: 5 + E2: 6,9 + E3: 8,9 + A6: 1,2 # B9: 4,9 => SOL
* STA # E5: 5 + E2: 6,9 + E3: 8,9 + A6: 1,2 + B9: 4,9
* CNT  13 HDP CHAINS /  14 HYP OPENED