Analysis of xx-ph-01001018-13_07-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6..5.7....8.....8..5.64..7.8....3..8......4.6...45...79....2.9........4..1. initial

Autosolve

position: 98.7..6..5.7....8.....8..5.64..7.8....3..8......4.6...45...79....2.9........4..1. 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: 0:00:31.598366

The following important HDP chains were detected:

* PRF # C3: 1,4 # F9: 3,5 => SOL
* STA # C3: 1,4 + F9: 3,5
* CNT   1 HDP CHAINS /  27 HYP OPENED

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

Details

Positions

98.7..6..5.7....8.....8..5.64..7.8....3..8......4.6...45...79....2.9........4..1. initial
98.7..6..5.7....8.....8..5.64..7.8....3..8......4.6...45...79....2.9........4..1. autosolve
981752643527634189364981257645379821273518496819426375458167932132895764796243518 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
C1: 1,4

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C1,C3: 4.. / C1 = 4  =>  2 pairs (_) / C3 = 4  =>  4 pairs (_)
E1,F1: 5.. / E1 = 5  =>  2 pairs (_) / F1 = 5  =>  3 pairs (_)
C4,C6: 5.. / C4 = 5  =>  1 pairs (_) / C6 = 5  =>  3 pairs (_)
H5,I5: 6.. / H5 = 6  =>  2 pairs (_) / I5 = 6  =>  1 pairs (_)
E2,E7: 6.. / E2 = 6  =>  1 pairs (_) / E7 = 6  =>  3 pairs (_)
G3,I3: 7.. / G3 = 7  =>  1 pairs (_) / I3 = 7  =>  1 pairs (_)
A6,C6: 8.. / A6 = 8  =>  2 pairs (_) / C6 = 8  =>  2 pairs (_)
I2,I3: 9.. / I2 = 9  =>  1 pairs (_) / I3 = 9  =>  1 pairs (_)
B9,C9: 9.. / B9 = 9  =>  5 pairs (_) / C9 = 9  =>  2 pairs (_)
* DURATION: 0:00:07.854750  START: 10:43:42.881042  END: 10:43:50.735792 2020-10-22
* CP COUNT: (9)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:31.284676  START: 10:43:54.949283  END: 10:44:26.233959 2020-10-22
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-01001018-13_07-base-pr-002.dot
* REASONING
* PRF # C3: 1,4 # F9: 3,5 => SOL
* STA # C3: 1,4 + F9: 3,5
* CNT   1 HDP CHAINS /  27 HYP OPENED

Header Info

1001018;13_07;GP;25;11.40;11.40;2.60

Solution

position: 981752643527634189364981257645379821273518496819426375458167932132895764796243518 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 # C3: 1,4 => UNS
* INC # C3: 6 => UNS
* INC # F1: 1,4 => UNS
* INC # I1: 1,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # C3: 1,4 => UNS
* INC # C3: 6 => UNS
* INC # F1: 1,4 => UNS
* INC # I1: 1,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # C3: 1,4 => UNS
* INC # C3: 6 => UNS
* INC # F1: 1,4 => UNS
* INC # I1: 1,4 => UNS
* INC # C3: 1,4 # F1: 1,4 => UNS
* INC # C3: 1,4 # I1: 1,4 => UNS
* INC # C3: 1,4 # B2: 2,3 => UNS
* INC # C3: 1,4 # B3: 2,3 => UNS
* INC # C3: 1,4 # D3: 2,3 => UNS
* INC # C3: 1,4 # F3: 2,3 => UNS
* INC # C3: 1,4 # G3: 2,3 => UNS
* INC # C3: 1,4 # I3: 2,3 => UNS
* INC # C3: 1,4 # F3: 1,4 => UNS
* INC # C3: 1,4 # G3: 1,4 => UNS
* INC # C3: 1,4 # I3: 1,4 => UNS
* INC # C3: 1,4 # C6: 5,9 => UNS
* INC # C3: 1,4 # C6: 8 => UNS
* INC # C3: 1,4 # D4: 5,9 => UNS
* INC # C3: 1,4 # F4: 5,9 => UNS
* INC # C3: 1,4 # C9: 6,8 => UNS
* INC # C3: 1,4 # C9: 9 => UNS
* INC # C3: 1,4 # D7: 6,8 => UNS
* INC # C3: 1,4 # I7: 6,8 => UNS
* INC # C3: 1,4 # D8: 3,5 => UNS
* INC # C3: 1,4 # D9: 3,5 => UNS
* PRF # C3: 1,4 # F9: 3,5 => SOL
* STA # C3: 1,4 + F9: 3,5
* CNT  26 HDP CHAINS /  27 HYP OPENED