Analysis of xx-ph-00001116-H273-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6......6..7......5..48..6...3..2...1.....5.4....6.....38..1......2...9..7.. initial

Autosolve

position: 98.7..6......6..7......5..48..6...3..2...1.....5.4....6.....38..1......2...9..7.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for I1,I2: 3..:

* DIS # I1: 3 # E3: 1,2 => CTR => E3: 3,8,9
* PRF # I1: 3 + E3: 3,8,9 # C1: 4 => SOL
* STA # I1: 3 + E3: 3,8,9 + C1: 4
* CNT   2 HDP CHAINS /   6 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......6..7......5..48..6...3..2...1.....5.4....6.....38..1......2...9..7.. initial
98.7..6......6..7......5..48..6...3..2...1.....5.4....6.....38..1......2...9..7.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
C4,A6: 1.. / C4 = 1  =>  1 pairs (_) / A6 = 1  =>  0 pairs (_)
I1,I2: 3.. / I1 = 3  =>  2 pairs (_) / I2 = 3  =>  2 pairs (_)
C1,F1: 4.. / C1 = 4  =>  2 pairs (_) / F1 = 4  =>  1 pairs (_)
A2,B2: 5.. / A2 = 5  =>  1 pairs (_) / B2 = 5  =>  1 pairs (_)
H1,I1: 5.. / H1 = 5  =>  1 pairs (_) / I1 = 5  =>  4 pairs (_)
B3,C3: 6.. / B3 = 6  =>  0 pairs (_) / C3 = 6  =>  1 pairs (_)
C5,B6: 6.. / C5 = 6  =>  0 pairs (_) / B6 = 6  =>  1 pairs (_)
F8,F9: 6.. / F8 = 6  =>  0 pairs (_) / F9 = 6  =>  1 pairs (_)
F8,H8: 6.. / F8 = 6  =>  0 pairs (_) / H8 = 6  =>  1 pairs (_)
B3,B6: 6.. / B3 = 6  =>  0 pairs (_) / B6 = 6  =>  1 pairs (_)
C3,C5: 6.. / C3 = 6  =>  1 pairs (_) / C5 = 6  =>  0 pairs (_)
C8,C9: 8.. / C8 = 8  =>  1 pairs (_) / C9 = 8  =>  0 pairs (_)
F2,E3: 9.. / F2 = 9  =>  1 pairs (_) / E3 = 9  =>  1 pairs (_)
* DURATION: 0:00:09.181570  START: 09:10:22.536435  END: 09:10:31.718005 2020-11-25
* CP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H1,I1: 5.. / H1 = 5 ==>  1 pairs (_) / I1 = 5 ==>  4 pairs (_)
I1,I2: 3.. / I1 = 3 ==>  0 pairs (*) / I2 = 3  =>  0 pairs (X)
* DURATION: 0:00:25.004492  START: 09:10:31.718769  END: 09:10:56.723261 2020-11-25
* REASONING I1,I2: 3..
* DIS # I1: 3 # E3: 1,2 => CTR => E3: 3,8,9
* PRF # I1: 3 + E3: 3,8,9 # C1: 4 => SOL
* STA # I1: 3 + E3: 3,8,9 + C1: 4
* CNT   2 HDP CHAINS /   6 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

1116;H273;GP;22;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H1,I1: 5..:

* INC # I1: 5 # A2: 4,5 => UNS
* INC # I1: 5 # A2: 1,2 => UNS
* INC # I1: 5 # B7: 4,5 => UNS
* INC # I1: 5 # B9: 4,5 => UNS
* INC # I1: 5 # G2: 1,2 => UNS
* INC # I1: 5 # G3: 1,2 => UNS
* INC # I1: 5 # H3: 1,2 => UNS
* INC # I1: 5 # C1: 1,2 => UNS
* INC # I1: 5 # E1: 1,2 => UNS
* INC # I1: 5 # H6: 1,2 => UNS
* INC # I1: 5 # H6: 6,9 => UNS
* INC # I1: 5 # I4: 1,9 => UNS
* INC # I1: 5 # I6: 1,9 => UNS
* INC # I1: 5 # H9: 1,6 => UNS
* INC # I1: 5 # H9: 4,5 => UNS
* INC # I1: 5 # I6: 1,6 => UNS
* INC # I1: 5 # I6: 7,8,9 => UNS
* INC # I1: 5 => UNS
* INC # H1: 5 # I2: 1,3 => UNS
* INC # H1: 5 # I2: 8,9 => UNS
* INC # H1: 5 # C1: 1,3 => UNS
* INC # H1: 5 # E1: 1,3 => UNS
* INC # H1: 5 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for I1,I2: 3..:

* INC # I1: 3 # D2: 1,2 => UNS
* INC # I1: 3 # D3: 1,2 => UNS
* DIS # I1: 3 # E3: 1,2 => CTR => E3: 3,8,9
* INC # I1: 3 + E3: 3,8,9 # C1: 1,2 => UNS
* PRF # I1: 3 + E3: 3,8,9 # C1: 4 => SOL
* STA # I1: 3 + E3: 3,8,9 + C1: 4
* CNT   5 HDP CHAINS /   6 HYP OPENED