Analysis of xx-ph-00014315-kz1a-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7.....6.....7....7.6..5.4....3..2..86..4......4..1...98..5......1...3.....2.4. initial

Autosolve

position: 98.7.....6.....7....7.6..5.4....3..2..86..4......4..1...98..5......1...3.....2.4. 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: 0:00:23.728533

The following important HDP chains were detected:

* DIS # E9: 3,7 # D2: 2,5 => CTR => D2: 1,3,4,9
* PRF # E9: 3,7 + D2: 1,3,4,9 # D4: 5,9 => SOL
* STA # E9: 3,7 + D2: 1,3,4,9 + D4: 5,9
* CNT   2 HDP CHAINS /  22 HYP OPENED

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

Details

Positions

98.7.....6.....7....7.6..5.4....3..2..86..4......4..1...98..5......1...3.....2.4. initial
98.7.....6.....7....7.6..5.4....3..2..86..4......4..1...98..5......1...3.....2.4. autosolve
983754261654128739217369854471583692328691475596247318149836527762415983835972146 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
E7: 3,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,F5: 1.. / D4 = 1  =>  2 pairs (_) / F5 = 1  =>  3 pairs (_)
E5,D6: 2.. / E5 = 2  =>  3 pairs (_) / D6 = 2  =>  1 pairs (_)
H5,G6: 3.. / H5 = 3  =>  2 pairs (_) / G6 = 3  =>  2 pairs (_)
B7,F7: 4.. / B7 = 4  =>  2 pairs (_) / F7 = 4  =>  3 pairs (_)
I5,I6: 5.. / I5 = 5  =>  1 pairs (_) / I6 = 5  =>  3 pairs (_)
F7,F8: 6.. / F7 = 6  =>  3 pairs (_) / F8 = 6  =>  2 pairs (_)
E4,F6: 8.. / E4 = 8  =>  2 pairs (_) / F6 = 8  =>  1 pairs (_)
A8,A9: 8.. / A8 = 8  =>  1 pairs (_) / A9 = 8  =>  1 pairs (_)
E2,E4: 8.. / E2 = 8  =>  1 pairs (_) / E4 = 8  =>  2 pairs (_)
* DURATION: 0:00:06.389803  START: 02:06:00.831159  END: 02:06:07.220962 2020-09-23
* CP COUNT: (9)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:23.604629  START: 02:06:11.124883  END: 02:06:34.729512 2020-09-23
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00014315-kz1a-base-pr-002.dot
* REASONING
* DIS # E9: 3,7 # D2: 2,5 => CTR => D2: 1,3,4,9
* PRF # E9: 3,7 + D2: 1,3,4,9 # D4: 5,9 => SOL
* STA # E9: 3,7 + D2: 1,3,4,9 + D4: 5,9
* CNT   2 HDP CHAINS /  22 HYP OPENED

Header Info

14315;kz1a;GP;23;11.60;11.60;9.00

Solution

position: 983754261654128739217369854471583692328691475596247318149836527762415983835972146 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 # E9: 3,7 => UNS
* INC # E9: 5,9 => UNS
* INC # A7: 3,7 => UNS
* INC # B7: 3,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # E9: 3,7 => UNS
* INC # E9: 5,9 => UNS
* INC # A7: 3,7 => UNS
* INC # B7: 3,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # E9: 3,7 => UNS
* INC # E9: 5,9 => UNS
* INC # A7: 3,7 => UNS
* INC # B7: 3,7 => UNS
* DIS # E9: 3,7 # D2: 2,5 => CTR => D2: 1,3,4,9
* INC # E9: 3,7 + D2: 1,3,4,9 # E2: 2,5 => UNS
* INC # E9: 3,7 + D2: 1,3,4,9 # E2: 2,5 => UNS
* INC # E9: 3,7 + D2: 1,3,4,9 # E2: 8,9 => UNS
* INC # E9: 3,7 + D2: 1,3,4,9 # C1: 2,5 => UNS
* INC # E9: 3,7 + D2: 1,3,4,9 # C1: 1,3,4 => UNS
* INC # E9: 3,7 + D2: 1,3,4,9 # E5: 2,5 => UNS
* INC # E9: 3,7 + D2: 1,3,4,9 # E5: 9 => UNS
* INC # E9: 3,7 + D2: 1,3,4,9 # A7: 3,7 => UNS
* INC # E9: 3,7 + D2: 1,3,4,9 # B7: 3,7 => UNS
* INC # E9: 3,7 + D2: 1,3,4,9 # F8: 4,6 => UNS
* INC # E9: 3,7 + D2: 1,3,4,9 # F8: 5,9 => UNS
* INC # E9: 3,7 + D2: 1,3,4,9 # B7: 4,6 => UNS
* INC # E9: 3,7 + D2: 1,3,4,9 # B7: 1,2,3,7 => UNS
* INC # E9: 3,7 + D2: 1,3,4,9 # D8: 5,9 => UNS
* INC # E9: 3,7 + D2: 1,3,4,9 # F8: 5,9 => UNS
* PRF # E9: 3,7 + D2: 1,3,4,9 # D4: 5,9 => SOL
* STA # E9: 3,7 + D2: 1,3,4,9 + D4: 5,9
* CNT  21 HDP CHAINS /  22 HYP OPENED