Analysis of xx-ph-00000685-923-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: .2.4....9..7.8....6....3.1...59...41.4.....92......3.......7....1.5...2.8...6.... initial

Autosolve

position: .2.4....9..7.8....6....3.1...59...41.4.....92......3.......7....1.5...2.8...6.... autosolve
Autosolve

Pair Reduction Variants

Pair Reduction Analysis

Pair Reduction Analysis

See Appendix: Full HDP Chains for full list of HDP chains.

Pair Reduction

Pair Reduction

See Appendix: Full HDP Chains for full list of HDP chains.

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:27.770437

The following important HDP chains were detected:

* DIS # E3: 2,7 # A2: 1,3 => CTR => A2: 4,5
* DIS # E3: 2,7 + A2: 4,5 # B9: 3,5 => CTR => B9: 7,9
* PRF # E3: 2,7 + A2: 4,5 + B9: 7,9 # D6: 2,7 => SOL
* STA # E3: 2,7 + A2: 4,5 + B9: 7,9 + D6: 2,7
* CNT   3 HDP CHAINS /  24 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Details

Positions

.2.4....9..7.8....6....3.1...59...41.4.....92......3.......7....1.5...2.8...6.... initial
.2.4....9..7.8....6....3.1...59...41.4.....92......3.......7....1.5...2.8...6.... autosolve
123456789457189236689723415275938641348671592961245378532817964716594823894362157 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
D3: 2,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G7,G9: 1.. / G7 = 1  =>  1 pairs (_) / G9 = 1  =>  2 pairs (_)
G2,G3: 2.. / G2 = 2  =>  2 pairs (_) / G3 = 2  =>  2 pairs (_)
A2,C3: 4.. / A2 = 4  =>  4 pairs (_) / C3 = 4  =>  1 pairs (_)
E6,F6: 4.. / E6 = 4  =>  2 pairs (_) / F6 = 4  =>  2 pairs (_)
A8,B9: 7.. / A8 = 7  =>  3 pairs (_) / B9 = 7  =>  2 pairs (_)
D7,F8: 8.. / D7 = 8  =>  2 pairs (_) / F8 = 8  =>  2 pairs (_)
F2,E3: 9.. / F2 = 9  =>  3 pairs (_) / E3 = 9  =>  4 pairs (_)
* DURATION: 0:00:04.802726  START: 05:57:41.875258  END: 05:57:46.677984 2020-11-21
* CP COUNT: (7)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:27.648127  START: 05:57:51.779647  END: 05:58:19.427774 2020-11-21
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00000685-923-base-pr-002.dot
* REASONING
* DIS # E3: 2,7 # A2: 1,3 => CTR => A2: 4,5
* DIS # E3: 2,7 + A2: 4,5 # B9: 3,5 => CTR => B9: 7,9
* PRF # E3: 2,7 + A2: 4,5 + B9: 7,9 # D6: 2,7 => SOL
* STA # E3: 2,7 + A2: 4,5 + B9: 7,9 + D6: 2,7
* CNT   3 HDP CHAINS /  24 HYP OPENED

Header Info

685;923;elev;22;11.30;11.30;10.50

Solution

position: 123456789457189236689723415275938641348671592961245378532817964716594823894362157 solved
Solution

See section Deep Pair Reduction for the HDP chains leading to this result.

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # E3: 2,7 => UNS
* INC # E3: 5,9 => UNS
* INC # G3: 2,7 => UNS
* INC # G3: 4,5,8 => UNS
* INC # D6: 2,7 => UNS
* INC # D6: 1,6,8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # E3: 2,7 => UNS
* INC # E3: 5,9 => UNS
* INC # G3: 2,7 => UNS
* INC # G3: 4,5,8 => UNS
* INC # D6: 2,7 => UNS
* INC # D6: 1,6,8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # E3: 2,7 => UNS
* INC # E3: 5,9 => UNS
* INC # G3: 2,7 => UNS
* INC # G3: 4,5,8 => UNS
* INC # D6: 2,7 => UNS
* INC # D6: 1,6,8 => UNS
* INC # E3: 2,7 # C1: 1,3 => UNS
* DIS # E3: 2,7 # A2: 1,3 => CTR => A2: 4,5
* INC # E3: 2,7 + A2: 4,5 # C1: 1,3 => UNS
* INC # E3: 2,7 + A2: 4,5 # C1: 8 => UNS
* INC # E3: 2,7 + A2: 4,5 # A5: 1,3 => UNS
* INC # E3: 2,7 + A2: 4,5 # A5: 7 => UNS
* INC # E3: 2,7 + A2: 4,5 # H2: 3,5 => UNS
* INC # E3: 2,7 + A2: 4,5 # I2: 3,5 => UNS
* INC # E3: 2,7 + A2: 4,5 # B7: 3,5 => UNS
* DIS # E3: 2,7 + A2: 4,5 # B9: 3,5 => CTR => B9: 7,9
* INC # E3: 2,7 + A2: 4,5 + B9: 7,9 # B7: 3,5 => UNS
* INC # E3: 2,7 + A2: 4,5 + B9: 7,9 # B7: 6,9 => UNS
* INC # E3: 2,7 + A2: 4,5 + B9: 7,9 # H2: 3,5 => UNS
* INC # E3: 2,7 + A2: 4,5 + B9: 7,9 # I2: 3,5 => UNS
* INC # E3: 2,7 + A2: 4,5 + B9: 7,9 # B7: 3,5 => UNS
* INC # E3: 2,7 + A2: 4,5 + B9: 7,9 # B7: 6,9 => UNS
* PRF # E3: 2,7 + A2: 4,5 + B9: 7,9 # D6: 2,7 => SOL
* STA # E3: 2,7 + A2: 4,5 + B9: 7,9 + D6: 2,7
* CNT  23 HDP CHAINS /  24 HYP OPENED