Analysis of xx-ph-00974567-13_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..5..9..4....3.8....7......4..5.4....6....975..4..5..7...97..2....1....... initial

Autosolve

position: 98.7..6..5..9..4....3.8....7......4..5.4...76....975..4..5..7...97..2....15.7.... 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 C5,G5: 9..:

* DIS # G5: 9 # A3: 1,2 => CTR => A3: 6
* DIS # G5: 9 + A3: 6 # E2: 1,2 => CTR => E2: 3,6
* DIS # G5: 9 + A3: 6 + E2: 3,6 # A5: 2,8 => CTR => A5: 1,3
* DIS # G5: 9 + A3: 6 + E2: 3,6 + A5: 1,3 # A6: 2,8 => CTR => A6: 1,3
* PRF # G5: 9 + A3: 6 + E2: 3,6 + A5: 1,3 + A6: 1,3 # C6: 2,8 => SOL
* STA # G5: 9 + A3: 6 + E2: 3,6 + A5: 1,3 + A6: 1,3 + C6: 2,8
* CNT   5 HDP CHAINS /  46 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..5..9..4....3.8....7......4..5.4....6....975..4..5..7...97..2....1....... initial
98.7..6..5..9..4....3.8....7......4..5.4...76....975..4..5..7...97..2....15.7.... autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
C1,B3: 4.. / C1 = 4  =>  0 pairs (_) / B3 = 4  =>  1 pairs (_)
B6,C6: 4.. / B6 = 4  =>  0 pairs (_) / C6 = 4  =>  1 pairs (_)
E8,F9: 4.. / E8 = 4  =>  0 pairs (_) / F9 = 4  =>  2 pairs (_)
I8,I9: 4.. / I8 = 4  =>  2 pairs (_) / I9 = 4  =>  0 pairs (_)
B3,F3: 4.. / B3 = 4  =>  1 pairs (_) / F3 = 4  =>  0 pairs (_)
E8,I8: 4.. / E8 = 4  =>  0 pairs (_) / I8 = 4  =>  2 pairs (_)
F9,I9: 4.. / F9 = 4  =>  2 pairs (_) / I9 = 4  =>  0 pairs (_)
B3,B6: 4.. / B3 = 4  =>  1 pairs (_) / B6 = 4  =>  0 pairs (_)
C1,C6: 4.. / C1 = 4  =>  0 pairs (_) / C6 = 4  =>  1 pairs (_)
E1,E8: 4.. / E1 = 4  =>  2 pairs (_) / E8 = 4  =>  0 pairs (_)
E4,F4: 5.. / E4 = 5  =>  0 pairs (_) / F4 = 5  =>  0 pairs (_)
H8,I8: 5.. / H8 = 5  =>  3 pairs (_) / I8 = 5  =>  0 pairs (_)
E1,E4: 5.. / E1 = 5  =>  0 pairs (_) / E4 = 5  =>  0 pairs (_)
B2,B3: 7.. / B2 = 7  =>  0 pairs (_) / B3 = 7  =>  2 pairs (_)
I2,I3: 7.. / I2 = 7  =>  2 pairs (_) / I3 = 7  =>  0 pairs (_)
B2,I2: 7.. / B2 = 7  =>  0 pairs (_) / I2 = 7  =>  2 pairs (_)
B3,I3: 7.. / B3 = 7  =>  2 pairs (_) / I3 = 7  =>  0 pairs (_)
H2,I2: 8.. / H2 = 8  =>  0 pairs (_) / I2 = 8  =>  0 pairs (_)
C4,C5: 9.. / C4 = 9  =>  4 pairs (_) / C5 = 9  =>  0 pairs (_)
F7,F9: 9.. / F7 = 9  =>  0 pairs (_) / F9 = 9  =>  0 pairs (_)
C5,G5: 9.. / C5 = 9  =>  0 pairs (_) / G5 = 9  =>  4 pairs (_)
* DURATION: 0:00:15.593896  START: 23:26:59.884800  END: 23:27:15.478696 2020-10-02
* CP COUNT: (21)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C5,G5: 9.. / C5 = 9  =>  0 pairs (X) / G5 = 9 ==>  0 pairs (*)
* DURATION: 0:00:42.389660  START: 23:27:15.479405  END: 23:27:57.869065 2020-10-02
* REASONING C5,G5: 9..
* DIS # G5: 9 # A3: 1,2 => CTR => A3: 6
* DIS # G5: 9 + A3: 6 # E2: 1,2 => CTR => E2: 3,6
* DIS # G5: 9 + A3: 6 + E2: 3,6 # A5: 2,8 => CTR => A5: 1,3
* DIS # G5: 9 + A3: 6 + E2: 3,6 + A5: 1,3 # A6: 2,8 => CTR => A6: 1,3
* PRF # G5: 9 + A3: 6 + E2: 3,6 + A5: 1,3 + A6: 1,3 # C6: 2,8 => SOL
* STA # G5: 9 + A3: 6 + E2: 3,6 + A5: 1,3 + A6: 1,3 + C6: 2,8
* CNT   5 HDP CHAINS /  46 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

974567;13_03;GP;24;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C5,G5: 9..:

* INC # G5: 9 # E1: 4,5 => UNS
* INC # G5: 9 # F1: 4,5 => UNS
* INC # G5: 9 # H1: 1,2 => UNS
* INC # G5: 9 # I1: 1,2 => UNS
* INC # G5: 9 # H2: 1,2 => UNS
* INC # G5: 9 # I2: 1,2 => UNS
* DIS # G5: 9 # A3: 1,2 => CTR => A3: 6
* INC # G5: 9 + A3: 6 # G4: 1,2 => UNS
* INC # G5: 9 + A3: 6 # G4: 3,8 => UNS
* INC # G5: 9 + A3: 6 # H1: 1,2 => UNS
* INC # G5: 9 + A3: 6 # I1: 1,2 => UNS
* INC # G5: 9 + A3: 6 # H2: 1,2 => UNS
* INC # G5: 9 + A3: 6 # I2: 1,2 => UNS
* INC # G5: 9 + A3: 6 # G4: 1,2 => UNS
* INC # G5: 9 + A3: 6 # G4: 3,8 => UNS
* INC # G5: 9 + A3: 6 # I3: 5,9 => UNS
* INC # G5: 9 + A3: 6 # I3: 7 => UNS
* INC # G5: 9 + A3: 6 # I2: 2,7 => UNS
* INC # G5: 9 + A3: 6 # I2: 1,3,8 => UNS
* INC # G5: 9 + A3: 6 # C1: 1,2 => UNS
* INC # G5: 9 + A3: 6 # C1: 4 => UNS
* DIS # G5: 9 + A3: 6 # E2: 1,2 => CTR => E2: 3,6
* INC # G5: 9 + A3: 6 + E2: 3,6 # H2: 1,2 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # I2: 1,2 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # C1: 1,2 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # C1: 4 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # H2: 1,2 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # I2: 1,2 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # E1: 1,2 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # E1: 3,4,5 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # D4: 1,2 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # D6: 1,2 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # E1: 4,5 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # F1: 4,5 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # H1: 1,2 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # I1: 1,2 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # H2: 1,2 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # I2: 1,2 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # G4: 1,2 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # G4: 3,8 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # I3: 5,9 => UNS
* INC # G5: 9 + A3: 6 + E2: 3,6 # I3: 7 => UNS
* DIS # G5: 9 + A3: 6 + E2: 3,6 # A5: 2,8 => CTR => A5: 1,3
* DIS # G5: 9 + A3: 6 + E2: 3,6 + A5: 1,3 # A6: 2,8 => CTR => A6: 1,3
* PRF # G5: 9 + A3: 6 + E2: 3,6 + A5: 1,3 + A6: 1,3 # C6: 2,8 => SOL
* STA # G5: 9 + A3: 6 + E2: 3,6 + A5: 1,3 + A6: 1,3 + C6: 2,8
* CNT  45 HDP CHAINS /  46 HYP OPENED