Analysis of xx-ph-02717876-2019_08_1120_160-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7..8..6...5...9...8....74....348.......6...8.4...7.9...2.9...1.........5 initial

Autosolve

position: 98.76.5..7..8..6...5...9...8....74....348.......6...8.4...7.9...2.9...1.........5 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for B2,B6: 4..:

* DIS # B2: 4 # E2: 1,2 => CTR => E2: 3,5
* DIS # B2: 4 + E2: 3,5 # F2: 1,2 => CTR => F2: 3,5
* DIS # B2: 4 + E2: 3,5 + F2: 3,5 # D4: 1,2 => CTR => D4: 3,5
* PRF # B2: 4 + E2: 3,5 + F2: 3,5 + D4: 3,5 # D7: 1,2 => SOL
* STA # B2: 4 + E2: 3,5 + F2: 3,5 + D4: 3,5 + D7: 1,2
* CNT   4 HDP CHAINS /  16 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

98.76.5..7..8..6...5...9...8....74....348.......6...8.4...7.9...2.9...1.........5 initial
98.76.5..7..8..6...5...9...8....74....348.......6...8.4...7.9...2.9...1.........5 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
B2,A3: 3.. / B2 = 3  =>  1 pairs (_) / A3 = 3  =>  4 pairs (_)
B6,C6: 4.. / B6 = 4  =>  1 pairs (_) / C6 = 4  =>  7 pairs (_)
I8,H9: 4.. / I8 = 4  =>  1 pairs (_) / H9 = 4  =>  1 pairs (_)
B2,B6: 4.. / B2 = 4  =>  7 pairs (_) / B6 = 4  =>  1 pairs (_)
E2,F2: 5.. / E2 = 5  =>  1 pairs (_) / F2 = 5  =>  1 pairs (_)
H4,H5: 5.. / H4 = 5  =>  1 pairs (_) / H5 = 5  =>  1 pairs (_)
D4,D7: 5.. / D4 = 5  =>  1 pairs (_) / D7 = 5  =>  1 pairs (_)
A3,C3: 6.. / A3 = 6  =>  3 pairs (_) / C3 = 6  =>  0 pairs (_)
G3,I3: 8.. / G3 = 8  =>  1 pairs (_) / I3 = 8  =>  0 pairs (_)
H2,I2: 9.. / H2 = 9  =>  0 pairs (_) / I2 = 9  =>  2 pairs (_)
E4,E6: 9.. / E4 = 9  =>  2 pairs (_) / E6 = 9  =>  0 pairs (_)
B9,C9: 9.. / B9 = 9  =>  1 pairs (_) / C9 = 9  =>  0 pairs (_)
* DURATION: 0:00:07.185567  START: 18:40:58.594354  END: 18:41:05.779921 2020-10-15
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B2,B6: 4.. / B2 = 4 ==>  0 pairs (*) / B6 = 4  =>  0 pairs (X)
* DURATION: 0:00:17.031540  START: 18:41:05.780474  END: 18:41:22.812014 2020-10-15
* REASONING B2,B6: 4..
* DIS # B2: 4 # E2: 1,2 => CTR => E2: 3,5
* DIS # B2: 4 + E2: 3,5 # F2: 1,2 => CTR => F2: 3,5
* DIS # B2: 4 + E2: 3,5 + F2: 3,5 # D4: 1,2 => CTR => D4: 3,5
* PRF # B2: 4 + E2: 3,5 + F2: 3,5 + D4: 3,5 # D7: 1,2 => SOL
* STA # B2: 4 + E2: 3,5 + F2: 3,5 + D4: 3,5 + D7: 1,2
* CNT   4 HDP CHAINS /  16 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

2717876;2019_08_1120_160;PAQ;25;11.50;11.50;9.50

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B2,B6: 4..:

* INC # B2: 4 # F1: 1,2 => UNS
* INC # B2: 4 # I1: 1,2 => UNS
* DIS # B2: 4 # E2: 1,2 => CTR => E2: 3,5
* DIS # B2: 4 + E2: 3,5 # F2: 1,2 => CTR => F2: 3,5
* INC # B2: 4 + E2: 3,5 + F2: 3,5 # I2: 1,2 => UNS
* INC # B2: 4 + E2: 3,5 + F2: 3,5 # I2: 1,2 => UNS
* INC # B2: 4 + E2: 3,5 + F2: 3,5 # I2: 9 => UNS
* INC # B2: 4 + E2: 3,5 + F2: 3,5 # I2: 1,2 => UNS
* INC # B2: 4 + E2: 3,5 + F2: 3,5 # I2: 9 => UNS
* INC # B2: 4 + E2: 3,5 + F2: 3,5 # F1: 1,2 => UNS
* INC # B2: 4 + E2: 3,5 + F2: 3,5 # E3: 1,2 => UNS
* INC # B2: 4 + E2: 3,5 + F2: 3,5 # G3: 1,2 => UNS
* INC # B2: 4 + E2: 3,5 + F2: 3,5 # I3: 1,2 => UNS
* DIS # B2: 4 + E2: 3,5 + F2: 3,5 # D4: 1,2 => CTR => D4: 3,5
* PRF # B2: 4 + E2: 3,5 + F2: 3,5 + D4: 3,5 # D7: 1,2 => SOL
* STA # B2: 4 + E2: 3,5 + F2: 3,5 + D4: 3,5 + D7: 1,2
* CNT  15 HDP CHAINS /  16 HYP OPENED