Analysis of xx-ph-02716799-2019_08_1120_160-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6..75.....9...6......4...7.3....76...5.....2.....7..1.9....98..57...89...6. initial

Autosolve

position: 98.7..6..75.....9...6......4...7.3....76...5.....2.....7..1.9....98..57...89.7.6. 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: 0:00:48.898975

The following important HDP chains were detected:

* DIS # F4: 1,5 # H1: 1,4 => CTR => H1: 2,3
* DIS # F4: 1,5 + H1: 2,3 # H3: 3 => CTR => H3: 1,4
* PRF # F4: 1,5 + H1: 2,3 + H3: 1,4 # I1: 2,3 => SOL
* STA # F4: 1,5 + H1: 2,3 + H3: 1,4 + I1: 2,3
* CNT   3 HDP CHAINS /  35 HYP OPENED

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

Details

Positions

98.7..6..75.....9...6......4...7.3....76...5.....2.....7..1.9....98..57...89...6. initial
98.7..6..75.....9...6......4...7.3....76...5.....2.....7..1.9....98..57...89.7.6. autosolve
981745632754263891326198745492571386137684259865329417573416928619832574248957163 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
D4: 1,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I1,I3: 5.. / I1 = 5  =>  2 pairs (_) / I3 = 5  =>  1 pairs (_)
A9,E9: 5.. / A9 = 5  =>  2 pairs (_) / E9 = 5  =>  2 pairs (_)
E2,F2: 6.. / E2 = 6  =>  4 pairs (_) / F2 = 6  =>  1 pairs (_)
I4,I6: 6.. / I4 = 6  =>  1 pairs (_) / I6 = 6  =>  2 pairs (_)
B4,I4: 6.. / B4 = 6  =>  2 pairs (_) / I4 = 6  =>  1 pairs (_)
A7,F7: 6.. / A7 = 6  =>  1 pairs (_) / F7 = 6  =>  4 pairs (_)
E2,E8: 6.. / E2 = 6  =>  4 pairs (_) / E8 = 6  =>  1 pairs (_)
G3,I3: 7.. / G3 = 7  =>  1 pairs (_) / I3 = 7  =>  2 pairs (_)
G6,I6: 7.. / G6 = 7  =>  2 pairs (_) / I6 = 7  =>  1 pairs (_)
G3,G6: 7.. / G3 = 7  =>  1 pairs (_) / G6 = 7  =>  2 pairs (_)
I3,I6: 7.. / I3 = 7  =>  2 pairs (_) / I6 = 7  =>  1 pairs (_)
A5,A6: 8.. / A5 = 8  =>  1 pairs (_) / A6 = 8  =>  2 pairs (_)
H7,I7: 8.. / H7 = 8  =>  5 pairs (_) / I7 = 8  =>  1 pairs (_)
E3,F3: 9.. / E3 = 9  =>  1 pairs (_) / F3 = 9  =>  5 pairs (_)
E3,E5: 9.. / E3 = 9  =>  1 pairs (_) / E5 = 9  =>  5 pairs (_)
* DURATION: 0:00:11.960225  START: 16:26:29.066582  END: 16:26:41.026807 2020-11-18
* CP COUNT: (15)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:48.683761  START: 16:26:47.658207  END: 16:27:36.341968 2020-11-18
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-02716799-2019_08_1120_160-base-pr-002.dot
* REASONING
* DIS # F4: 1,5 # H1: 1,4 => CTR => H1: 2,3
* DIS # F4: 1,5 + H1: 2,3 # H3: 3 => CTR => H3: 1,4
* PRF # F4: 1,5 + H1: 2,3 + H3: 1,4 # I1: 2,3 => SOL
* STA # F4: 1,5 + H1: 2,3 + H3: 1,4 + I1: 2,3
* CNT   3 HDP CHAINS /  35 HYP OPENED

Header Info

2716799;2019_08_1120_160;PAQ;25;11.40;1.20;1.20

Solution

position: 981745632754263891326198745492571386137684259865329417573416928619832574248957163 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 # F4: 1,5 => UNS
* INC # D6: 1,5 => UNS
* INC # F6: 1,5 => UNS
* INC # C4: 1,5 => UNS
* INC # C4: 2 => UNS
* INC # D3: 1,5 => UNS
* INC # D3: 2,3,4 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # F4: 1,5 => UNS
* INC # D6: 1,5 => UNS
* INC # F6: 1,5 => UNS
* INC # C4: 1,5 => UNS
* INC # C4: 2 => UNS
* INC # D3: 1,5 => UNS
* INC # D3: 2,3,4 => UNS
* CNT   7 HDP CHAINS /   7 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # F4: 1,5 => UNS
* INC # D6: 1,5 => UNS
* INC # F6: 1,5 => UNS
* INC # C4: 1,5 => UNS
* INC # C4: 2 => UNS
* INC # D3: 1,5 => UNS
* INC # D3: 2,3,4 => UNS
* INC # F4: 1,5 # B6: 6,9 => UNS
* INC # F4: 1,5 # B6: 1,3 => UNS
* INC # F4: 1,5 # D3: 1,5 => UNS
* INC # F4: 1,5 # D3: 3,4 => UNS
* INC # F4: 1,5 # F1: 1,5 => UNS
* INC # F4: 1,5 # F3: 1,5 => UNS
* INC # F4: 1,5 # E5: 3,4 => UNS
* INC # F4: 1,5 # F5: 3,4 => UNS
* INC # F4: 1,5 # F6: 3,4 => UNS
* INC # F4: 1,5 # D2: 3,4 => UNS
* INC # F4: 1,5 # D3: 3,4 => UNS
* INC # F4: 1,5 # D7: 3,4 => UNS
* INC # F4: 1,5 # I6: 6,9 => UNS
* INC # F4: 1,5 # I6: 1,4,7 => UNS
* INC # F4: 1,5 # G5: 1,4 => UNS
* INC # F4: 1,5 # I5: 1,4 => UNS
* INC # F4: 1,5 # G6: 1,4 => UNS
* INC # F4: 1,5 # I6: 1,4 => UNS
* DIS # F4: 1,5 # H1: 1,4 => CTR => H1: 2,3
* INC # F4: 1,5 + H1: 2,3 # H3: 1,4 => UNS
* INC # F4: 1,5 + H1: 2,3 # H3: 1,4 => UNS
* DIS # F4: 1,5 + H1: 2,3 # H3: 3 => CTR => H3: 1,4
* INC # F4: 1,5 + H1: 2,3 + H3: 1,4 # G5: 1,4 => UNS
* INC # F4: 1,5 + H1: 2,3 + H3: 1,4 # I5: 1,4 => UNS
* INC # F4: 1,5 + H1: 2,3 + H3: 1,4 # G6: 1,4 => UNS
* INC # F4: 1,5 + H1: 2,3 + H3: 1,4 # I6: 1,4 => UNS
* PRF # F4: 1,5 + H1: 2,3 + H3: 1,4 # I1: 2,3 => SOL
* STA # F4: 1,5 + H1: 2,3 + H3: 1,4 + I1: 2,3
* CNT  34 HDP CHAINS /  35 HYP OPENED