Analysis of xx-ph-00000725-H155-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....7...6.9....5..4...6..3..7...9.....8...2.....1.3.8..6......5..4......1..2 initial

Autosolve

position: 98.7.....7...6.9....5..4...6..3..7...9.....8...2.....1.3.8..6......5..4......1..2 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for C4,A6: 8..:

* DIS # A6: 8 # C5: 1,4 => CTR => C5: 3,7
* DIS # A6: 8 + C5: 3,7 # C7: 1,4 => CTR => C7: 7,9
* PRF # A6: 8 + C5: 3,7 + C7: 7,9 # A7: 1,2 => SOL
* STA # A6: 8 + C5: 3,7 + C7: 7,9 + A7: 1,2
* CNT   3 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

98.7.....7...6.9....5..4...6..3..7...9.....8...2.....1.3.8..6......5..4......1..2 initial
98.7.....7...6.9....5..4...6..3..7...9.....8...2.....1.3.8..6......5..4......1..2 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
H7,G8: 1.. / H7 = 1  =>  1 pairs (_) / G8 = 1  =>  1 pairs (_)
H4,G5: 2.. / H4 = 2  =>  0 pairs (_) / G5 = 2  =>  1 pairs (_)
F8,E9: 3.. / F8 = 3  =>  2 pairs (_) / E9 = 3  =>  2 pairs (_)
C1,B3: 6.. / C1 = 6  =>  3 pairs (_) / B3 = 6  =>  0 pairs (_)
I5,H6: 6.. / I5 = 6  =>  0 pairs (_) / H6 = 6  =>  0 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  1 pairs (_)
C5,B6: 7.. / C5 = 7  =>  2 pairs (_) / B6 = 7  =>  0 pairs (_)
F2,E3: 8.. / F2 = 8  =>  0 pairs (_) / E3 = 8  =>  2 pairs (_)
C4,A6: 8.. / C4 = 8  =>  0 pairs (_) / A6 = 8  =>  3 pairs (_)
F2,I2: 8.. / F2 = 8  =>  0 pairs (_) / I2 = 8  =>  2 pairs (_)
D3,E3: 9.. / D3 = 9  =>  2 pairs (_) / E3 = 9  =>  1 pairs (_)
* DURATION: 0:00:08.545847  START: 16:42:02.304599  END: 16:42:10.850446 2020-11-21
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C4,A6: 8.. / C4 = 8  =>  0 pairs (X) / A6 = 8 ==>  0 pairs (*)
* DURATION: 0:00:18.856792  START: 16:42:10.851272  END: 16:42:29.708064 2020-11-21
* REASONING C4,A6: 8..
* DIS # A6: 8 # C5: 1,4 => CTR => C5: 3,7
* DIS # A6: 8 + C5: 3,7 # C7: 1,4 => CTR => C7: 7,9
* PRF # A6: 8 + C5: 3,7 + C7: 7,9 # A7: 1,2 => SOL
* STA # A6: 8 + C5: 3,7 + C7: 7,9 + A7: 1,2
* CNT   3 HDP CHAINS /  16 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

725;H155;GP;22;11.30;11.30;10.40

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C4,A6: 8..:

* INC # A6: 8 # B4: 1,4 => UNS
* INC # A6: 8 # A5: 1,4 => UNS
* DIS # A6: 8 # C5: 1,4 => CTR => C5: 3,7
* INC # A6: 8 + C5: 3,7 # E4: 1,4 => UNS
* INC # A6: 8 + C5: 3,7 # E4: 2,8,9 => UNS
* INC # A6: 8 + C5: 3,7 # C1: 1,4 => UNS
* INC # A6: 8 + C5: 3,7 # C2: 1,4 => UNS
* DIS # A6: 8 + C5: 3,7 # C7: 1,4 => CTR => C7: 7,9
* INC # A6: 8 + C5: 3,7 + C7: 7,9 # B4: 1,4 => UNS
* INC # A6: 8 + C5: 3,7 + C7: 7,9 # A5: 1,4 => UNS
* INC # A6: 8 + C5: 3,7 + C7: 7,9 # E4: 1,4 => UNS
* INC # A6: 8 + C5: 3,7 + C7: 7,9 # E4: 2,8,9 => UNS
* INC # A6: 8 + C5: 3,7 + C7: 7,9 # C1: 1,4 => UNS
* INC # A6: 8 + C5: 3,7 + C7: 7,9 # C2: 1,4 => UNS
* PRF # A6: 8 + C5: 3,7 + C7: 7,9 # A7: 1,2 => SOL
* STA # A6: 8 + C5: 3,7 + C7: 7,9 + A7: 1,2
* CNT  15 HDP CHAINS /  16 HYP OPENED