Analysis of xx-ph-00009211-cy4-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 9..8..7...8..6..5...4..3...8..9......6..7...5..3..42...1..2.5....8....1.........6 initial

Autosolve

position: 9..8..7...8..6..5...4..3...8..9......6..7...5..3..42...1..2.5....8....1.........6 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 D6,H6: 6..:

* DIS # H6: 6 # G5: 1,4 => CTR => G5: 3,8,9
* DIS # H6: 6 + G5: 3,8,9 # E6: 1,5 => CTR => E6: 8
* PRF # H6: 6 + G5: 3,8,9 + E6: 8 # C9: 7,9 => SOL
* STA # H6: 6 + G5: 3,8,9 + E6: 8 + C9: 7,9
* CNT   3 HDP CHAINS /  13 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

9..8..7...8..6..5...4..3...8..9......6..7...5..3..42...1..2.5....8....1.........6 initial
9..8..7...8..6..5...4..3...8..9......6..7...5..3..42...1..2.5....8....1.........6 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
I8,H9: 2.. / I8 = 2  =>  0 pairs (_) / H9 = 2  =>  0 pairs (_)
B1,A2: 3.. / B1 = 3  =>  0 pairs (_) / A2 = 3  =>  1 pairs (_)
E4,D5: 3.. / E4 = 3  =>  1 pairs (_) / D5 = 3  =>  2 pairs (_)
E1,D2: 4.. / E1 = 4  =>  0 pairs (_) / D2 = 4  =>  1 pairs (_)
B4,A5: 4.. / B4 = 4  =>  1 pairs (_) / A5 = 4  =>  0 pairs (_)
C1,A3: 6.. / C1 = 6  =>  1 pairs (_) / A3 = 6  =>  0 pairs (_)
F4,D6: 6.. / F4 = 6  =>  4 pairs (_) / D6 = 6  =>  0 pairs (_)
C1,H1: 6.. / C1 = 6  =>  1 pairs (_) / H1 = 6  =>  0 pairs (_)
D6,H6: 6.. / D6 = 6  =>  0 pairs (_) / H6 = 6  =>  4 pairs (_)
C1,C7: 6.. / C1 = 6  =>  1 pairs (_) / C7 = 6  =>  0 pairs (_)
G3,G4: 6.. / G3 = 6  =>  1 pairs (_) / G4 = 6  =>  0 pairs (_)
F5,E6: 8.. / F5 = 8  =>  1 pairs (_) / E6 = 8  =>  1 pairs (_)
E6,E9: 8.. / E6 = 8  =>  1 pairs (_) / E9 = 8  =>  1 pairs (_)
F2,E3: 9.. / F2 = 9  =>  1 pairs (_) / E3 = 9  =>  0 pairs (_)
C5,B6: 9.. / C5 = 9  =>  2 pairs (_) / B6 = 9  =>  1 pairs (_)
* DURATION: 0:00:08.693143  START: 02:02:30.867111  END: 02:02:39.560254 2020-12-01
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D6,H6: 6.. / D6 = 6  =>  0 pairs (X) / H6 = 6 ==>  0 pairs (*)
* DURATION: 0:00:16.138223  START: 02:02:39.560896  END: 02:02:55.699119 2020-12-01
* REASONING D6,H6: 6..
* DIS # H6: 6 # G5: 1,4 => CTR => G5: 3,8,9
* DIS # H6: 6 + G5: 3,8,9 # E6: 1,5 => CTR => E6: 8
* PRF # H6: 6 + G5: 3,8,9 + E6: 8 # C9: 7,9 => SOL
* STA # H6: 6 + G5: 3,8,9 + E6: 8 + C9: 7,9
* CNT   3 HDP CHAINS /  13 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

9211;cy4;GP;22;11.30;11.30;10.80

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D6,H6: 6..:

* DIS # H6: 6 # G5: 1,4 => CTR => G5: 3,8,9
* INC # H6: 6 + G5: 3,8,9 # E4: 1,5 => UNS
* DIS # H6: 6 + G5: 3,8,9 # E6: 1,5 => CTR => E6: 8
* INC # H6: 6 + G5: 3,8,9 + E6: 8 # E4: 1,5 => UNS
* INC # H6: 6 + G5: 3,8,9 + E6: 8 # E4: 3 => UNS
* INC # H6: 6 + G5: 3,8,9 + E6: 8 # A6: 1,5 => UNS
* INC # H6: 6 + G5: 3,8,9 + E6: 8 # A6: 7 => UNS
* INC # H6: 6 + G5: 3,8,9 + E6: 8 # D3: 1,5 => UNS
* INC # H6: 6 + G5: 3,8,9 + E6: 8 # D9: 1,5 => UNS
* INC # H6: 6 + G5: 3,8,9 + E6: 8 # B8: 7,9 => UNS
* INC # H6: 6 + G5: 3,8,9 + E6: 8 # B9: 7,9 => UNS
* PRF # H6: 6 + G5: 3,8,9 + E6: 8 # C9: 7,9 => SOL
* STA # H6: 6 + G5: 3,8,9 + E6: 8 + C9: 7,9
* CNT  12 HDP CHAINS /  13 HYP OPENED