Analysis of xx-ph-00011978-kz0-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7.....6..5.......4.6.9..4...8.3...9.....2...3..7..1.4..3.6.....1...5......2..8 initial

Autosolve

position: 98.7.....6..5.......4.6.9..4...8.3...9.....2...3..7..1.4..3.6.....1...5......2..8 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: 0:00:23.799240

The following important HDP chains were detected:

* DIS # F7: 8,9 # D5: 4,6 => CTR => D5: 3
* DIS # F7: 8,9 + D5: 3 # D6: 2,9 => CTR => D6: 4,6
* PRF # F7: 8,9 + D5: 3 + D6: 4,6 # G9: 1,7 => SOL
* STA # F7: 8,9 + D5: 3 + D6: 4,6 + G9: 1,7
* CNT   3 HDP CHAINS /  22 HYP OPENED

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

Details

Positions

98.7.....6..5.......4.6.9..4...8.3...9.....2...3..7..1.4..3.6.....1...5......2..8 initial
98.7.....6..5.......4.6.9..4...8.3...9.....2...3..7..1.4..3.6.....1...5......2..8 autosolve
985723164671549283324861975416285397798314526253697841547938612832176459169452738 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
D7: 8,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D5,F5: 3.. / D5 = 3  =>  2 pairs (_) / F5 = 3  =>  6 pairs (_)
I8,H9: 3.. / I8 = 3  =>  1 pairs (_) / H9 = 3  =>  1 pairs (_)
D3,D5: 3.. / D3 = 3  =>  6 pairs (_) / D5 = 3  =>  2 pairs (_)
F7,E9: 5.. / F7 = 5  =>  1 pairs (_) / E9 = 5  => 11 pairs (_)
H1,I1: 6.. / H1 = 6  =>  2 pairs (_) / I1 = 6  =>  1 pairs (_)
F8,D9: 6.. / F8 = 6  =>  2 pairs (_) / D9 = 6  =>  4 pairs (_)
E8,E9: 7.. / E8 = 7  =>  2 pairs (_) / E9 = 7  =>  3 pairs (_)
D3,D7: 8.. / D3 = 8  => 10 pairs (_) / D7 = 8  =>  2 pairs (_)
E2,F2: 9.. / E2 = 9  =>  2 pairs (_) / F2 = 9  =>  2 pairs (_)
* DURATION: 0:00:05.751295  START: 02:14:45.884865  END: 02:14:51.636160 2020-12-02
* CP COUNT: (9)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:23.675103  START: 02:14:55.386792  END: 02:15:19.061895 2020-12-02
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00011978-kz0-base-pr-002.dot
* REASONING
* DIS # F7: 8,9 # D5: 4,6 => CTR => D5: 3
* DIS # F7: 8,9 + D5: 3 # D6: 2,9 => CTR => D6: 4,6
* PRF # F7: 8,9 + D5: 3 + D6: 4,6 # G9: 1,7 => SOL
* STA # F7: 8,9 + D5: 3 + D6: 4,6 + G9: 1,7
* CNT   3 HDP CHAINS /  22 HYP OPENED

Header Info

11978;kz0;GP;23;11.30;11.30;10.40

Solution

position: 985723164671549283324861975416285397798314526253697841547938612832176459169452738 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 # F7: 8,9 => UNS
* INC # F8: 8,9 => UNS
* INC # C7: 8,9 => UNS
* INC # C7: 1,2,5,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # F7: 8,9 => UNS
* INC # F8: 8,9 => UNS
* INC # C7: 8,9 => UNS
* INC # C7: 1,2,5,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # F7: 8,9 => UNS
* INC # F8: 8,9 => UNS
* INC # C7: 8,9 => UNS
* INC # C7: 1,2,5,7 => UNS
* INC # F7: 8,9 # F5: 1,4 => UNS
* INC # F7: 8,9 # F5: 3,5,6 => UNS
* INC # F7: 8,9 # E1: 1,4 => UNS
* INC # F7: 8,9 # E2: 1,4 => UNS
* INC # F7: 8,9 # G5: 5,8 => UNS
* INC # F7: 8,9 # G5: 7 => UNS
* INC # F7: 8,9 # A6: 5,8 => UNS
* INC # F7: 8,9 # A6: 2 => UNS
* INC # F7: 8,9 # F2: 8,9 => UNS
* INC # F7: 8,9 # F2: 1,3,4 => UNS
* INC # F7: 8,9 # F5: 4,6 => UNS
* INC # F7: 8,9 # F5: 1,3,5 => UNS
* DIS # F7: 8,9 # D5: 4,6 => CTR => D5: 3
* INC # F7: 8,9 + D5: 3 # D6: 4,6 => UNS
* INC # F7: 8,9 + D5: 3 # D6: 4,6 => UNS
* DIS # F7: 8,9 + D5: 3 # D6: 2,9 => CTR => D6: 4,6
* PRF # F7: 8,9 + D5: 3 + D6: 4,6 # G9: 1,7 => SOL
* STA # F7: 8,9 + D5: 3 + D6: 4,6 + G9: 1,7
* CNT  21 HDP CHAINS /  22 HYP OPENED