Analysis of xx-HardestSudokusThread-00055-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 5.......9.2.1...7...8...3...4.6.........5.......2.7.1...3...8...6...4.2.9.......5 initial

Autosolve

position: 5.......9.2.1...7...8...3...4.6.........5.......2.7.1...3...8...6...4.2.9.......5 autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.310134

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000013

List of important HDP chains detected for A8,B9: 8..:

* DIS # A8: 8 # B7: 1,7 => CTR => B7: 5
* DIS # A8: 8 + B7: 5 # B5: 1,7 => CTR => B5: 3,8,9
* PRF # A8: 8 + B7: 5 + B5: 3,8,9 # A5: 3,6 => SOL
* STA # A8: 8 + B7: 5 + B5: 3,8,9 + A5: 3,6
* CNT   3 HDP CHAINS /  18 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

5.......9.2.1...7...8...3...4.6.........5.......2.7.1...3...8...6...4.2.9.......5 initial
5.......9.2.1...7...8...3...4.6.........5.......2.7.1...3...8...6...4.2.9.......5 autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (4)
G1: 1,2
I3: 1,2
A7: 2,4
C9: 2,4

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* CONSTRAINT PAIRS (AUTO SOLVE)
G1,I3: 1.. / G1 = 1  =>  4 pairs (_) / I3 = 1  =>  4 pairs (_)
G1,I3: 2.. / G1 = 2  =>  4 pairs (_) / I3 = 2  =>  4 pairs (_)
A7,C9: 2.. / A7 = 2  =>  4 pairs (_) / C9 = 2  =>  4 pairs (_)
B1,A2: 3.. / B1 = 3  =>  5 pairs (_) / A2 = 3  =>  6 pairs (_)
I8,H9: 3.. / I8 = 3  =>  5 pairs (_) / H9 = 3  =>  6 pairs (_)
D5,E6: 4.. / D5 = 4  =>  4 pairs (_) / E6 = 4  =>  4 pairs (_)
A7,C9: 4.. / A7 = 4  =>  4 pairs (_) / C9 = 4  =>  4 pairs (_)
G2,H3: 5.. / G2 = 5  =>  5 pairs (_) / H3 = 5  =>  5 pairs (_)
B7,C8: 5.. / B7 = 5  =>  6 pairs (_) / C8 = 5  =>  6 pairs (_)
F2,G2: 5.. / F2 = 5  =>  5 pairs (_) / G2 = 5  =>  5 pairs (_)
C8,D8: 5.. / C8 = 5  =>  6 pairs (_) / D8 = 5  =>  6 pairs (_)
B6,B7: 5.. / B6 = 5  =>  6 pairs (_) / B7 = 5  =>  6 pairs (_)
H3,H4: 5.. / H3 = 5  =>  5 pairs (_) / H4 = 5  =>  5 pairs (_)
H1,I2: 8.. / H1 = 8  =>  5 pairs (_) / I2 = 8  =>  5 pairs (_)
A8,B9: 8.. / A8 = 8  =>  6 pairs (_) / B9 = 8  =>  6 pairs (_)
C2,B3: 9.. / C2 = 9  =>  6 pairs (_) / B3 = 9  =>  5 pairs (_)
H7,G8: 9.. / H7 = 9  =>  6 pairs (_) / G8 = 9  =>  5 pairs (_)
* DURATION: 0:00:15.370629  START: 17:59:03.403442  END: 17:59:18.774071 2017-04-29
* CP COUNT: (17)

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A8,B9: 8.. / A8 = 8 ==>  0 pairs (*) / B9 = 8  =>  0 pairs (X)
* DURATION: 0:00:28.314687  START: 17:59:19.104253  END: 17:59:47.418940 2017-04-29
* REASONING A8,B9: 8..
* DIS # A8: 8 # B7: 1,7 => CTR => B7: 5
* DIS # A8: 8 + B7: 5 # B5: 1,7 => CTR => B5: 3,8,9
* PRF # A8: 8 + B7: 5 + B5: 3,8,9 # A5: 3,6 => SOL
* STA # A8: 8 + B7: 5 + B5: 3,8,9 + A5: 3,6
* CNT   3 HDP CHAINS /  18 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

HardestSudokusThread-00055,m_b_metcalf,95107,97868,11.8,11.8,3.4,1305,798

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A8,B9: 8..:

* INC # A8: 8 # A5: 3,6 => UNS
* INC # A8: 8 # A5: 1,2,7 => UNS
* INC # A8: 8 # I6: 3,6 => UNS
* INC # A8: 8 # I6: 4,8 => UNS
* INC # A8: 8 # A2: 3,6 => UNS
* INC # A8: 8 # A2: 4 => UNS
* DIS # A8: 8 # B7: 1,7 => CTR => B7: 5
* INC # A8: 8 + B7: 5 # E9: 1,7 => UNS
* INC # A8: 8 + B7: 5 # G9: 1,7 => UNS
* INC # A8: 8 + B7: 5 # B1: 1,7 => UNS
* INC # A8: 8 + B7: 5 # B3: 1,7 => UNS
* DIS # A8: 8 + B7: 5 # B5: 1,7 => CTR => B5: 3,8,9
* INC # A8: 8 + B7: 5 + B5: 3,8,9 # E9: 1,7 => UNS
* INC # A8: 8 + B7: 5 + B5: 3,8,9 # G9: 1,7 => UNS
* INC # A8: 8 + B7: 5 + B5: 3,8,9 # B1: 1,7 => UNS
* INC # A8: 8 + B7: 5 + B5: 3,8,9 # B3: 1,7 => UNS
* PRF # A8: 8 + B7: 5 + B5: 3,8,9 # A5: 3,6 => SOL
* STA # A8: 8 + B7: 5 + B5: 3,8,9 + A5: 3,6
* CNT  17 HDP CHAINS /  18 HYP OPENED