Analysis of xx-ph-00001071-H60-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
Details
Solution
Appendix: Full HDP Chains

Original Sudoku

level: hard

position: .....1..3.......9...6.9.8....8.....97....26...1.4..5....3.8..5..2.1.....4....7... initial

Autosolve

position: .....1..3.......9...6.9.8....8.....97....26...1.4..5....3.8..5..2.1.....4....7... autosolve

Pair Reduction Variants

Pair Reduction Analysis

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

Pair Reduction

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

Deep Pair Reduction

Time used: 0:00:21.334939

The following important HDP chains were detected:

* DIS # A6: 2,9 # D4: 3,5 => CTR => D4: 7
* PRF # A6: 2,9 + D4: 7 # E4: 3,5 => SOL
* STA # A6: 2,9 + D4: 7 + E4: 3,5
* CNT   2 HDP CHAINS /  15 HYP OPENED

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

Details

Positions

`.....1..3.......9...6.9.8....8.....97....26...1.4..5....3.8..5..2.1.....4....7...`	initial
`.....1..3.......9...6.9.8....8.....97....26...1.4..5....3.8..5..2.1.....4....7...`	autosolve
`894571263371826495256394871648735129735912648912468537163289754527143986489657312`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (3)
C6: 2,9
D5: 8,9
F6: 8,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E4,E5: 1.. / E4 = 1  =>  4 pairs (_) / E5 = 1  =>  4 pairs (_)
A7,C9: 1.. / A7 = 1  =>  4 pairs (_) / C9 = 1  =>  4 pairs (_)
C2,C9: 1.. / C2 = 1  =>  4 pairs (_) / C9 = 1  =>  4 pairs (_)
I2,I3: 5.. / I2 = 5  =>  3 pairs (_) / I3 = 5  =>  4 pairs (_)
H1,I2: 6.. / H1 = 6  =>  3 pairs (_) / I2 = 6  =>  4 pairs (_)
A6,E6: 6.. / A6 = 6  =>  5 pairs (_) / E6 = 6  =>  4 pairs (_)
B7,C8: 7.. / B7 = 7  =>  4 pairs (_) / C8 = 7  =>  4 pairs (_)
D5,F6: 8.. / D5 = 8  =>  4 pairs (_) / F6 = 8  =>  4 pairs (_)
A8,B9: 8.. / A8 = 8  =>  3 pairs (_) / B9 = 8  =>  3 pairs (_)
F2,F6: 8.. / F2 = 8  =>  4 pairs (_) / F6 = 8  =>  4 pairs (_)
D5,F6: 9.. / D5 = 9  =>  4 pairs (_) / F6 = 9  =>  4 pairs (_)
* DURATION: 0:00:11.066049  START: 20:51:57.706215  END: 20:52:08.772264 2020-11-24
* CP COUNT: (11)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:21.229926  START: 20:52:14.612812  END: 20:52:35.842738 2020-11-24
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00001071-H60-base-pr-002.dot
* REASONING
* DIS # A6: 2,9 # D4: 3,5 => CTR => D4: 7
* PRF # A6: 2,9 + D4: 7 # E4: 3,5 => SOL
* STA # A6: 2,9 + D4: 7 + E4: 3,5
* CNT   2 HDP CHAINS /  15 HYP OPENED

Header Info

1071;H60;col;21;11.30;11.30;3.40

Solution

position: 894571263371826495256394871648735129735912648912468537163289754527143986489657312 solved

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 # A6: 2,9 => UNS
* INC # A6: 3,6 => UNS
* INC # C1: 2,9 => UNS
* INC # C1: 4,5,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A6: 2,9 => UNS
* INC # A6: 3,6 => UNS
* INC # C1: 2,9 => UNS
* INC # C1: 4,5,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A6: 2,9 => UNS
* INC # A6: 3,6 => UNS
* INC # C1: 2,9 => UNS
* INC # C1: 4,5,7 => UNS
* INC # A6: 2,9 # B4: 4,5 => UNS
* INC # A6: 2,9 # B5: 4,5 => UNS
* INC # A6: 2,9 # C1: 4,5 => UNS
* INC # A6: 2,9 # C2: 4,5 => UNS
* INC # A6: 2,9 # A1: 2,9 => UNS
* INC # A6: 2,9 # A1: 5,8 => UNS
* INC # A6: 2,9 # C1: 2,9 => UNS
* INC # A6: 2,9 # C1: 4,5,7 => UNS
* DIS # A6: 2,9 # D4: 3,5 => CTR => D4: 7
* PRF # A6: 2,9 + D4: 7 # E4: 3,5 => SOL
* STA # A6: 2,9 + D4: 7 + E4: 3,5
* CNT  14 HDP CHAINS /  15 HYP OPENED