Analysis of xx-ph-02487226-2019_08_05_a-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6...8......5..4...7..8..9...3....86.....4...2.9.6..3....1.2.........5..1 initial

Autosolve

position: 98.7.....6...8......5..4...7..8..9...3....86.....4...2.9.6..3....1.2.........5..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: 0:00:12.604366

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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000019

List of important HDP chains detected for C5,C6: 9..:

* DIS # C6: 9 # C1: 2,4 => CTR => C1: 3
* DIS # C6: 9 + C1: 3 # C2: 2,4 => CTR => C2: 7
* DIS # C6: 9 + C1: 3 + C2: 7 # C7: 2,4 => CTR => C7: 8
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 # C9: 2,4 => CTR => C9: 6
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 # E5: 5,9 => CTR => E5: 1,7
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 + E5: 1,7 # G1: 5,6 => CTR => G1: 1,2,4
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 + E5: 1,7 + G1: 1,2,4 # I1: 4 => CTR => I1: 5,6
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 + E5: 1,7 + G1: 1,2,4 + I1: 5,6 # E3: 3,9 => CTR => E3: 6
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 + E5: 1,7 + G1: 1,2,4 + I1: 5,6 + E3: 6 => CTR => C6: 6,8
* STA C6: 6,8
* CNT   9 HDP CHAINS /  22 HYP OPENED

List of important HDP chains detected for A6,C6: 8..:

* DIS # C6: 8 # D6: 1,5 => CTR => D6: 3,9
* DIS # C6: 8 + D6: 3,9 # G6: 1,5 => CTR => G6: 7
* DIS # C6: 8 + D6: 3,9 + G6: 7 # H6: 1,5 => CTR => H6: 3
* DIS # C6: 8 + D6: 3,9 + G6: 7 + H6: 3 # B6: 6 => CTR => B6: 1,5
* DIS # C6: 8 + D6: 3,9 + G6: 7 + H6: 3 + B6: 1,5 # F7: 1,7 => CTR => F7: 8
* PRF # C6: 8 + D6: 3,9 + G6: 7 + H6: 3 + B6: 1,5 + F7: 8 # F1: 1,2 => SOL
* STA # C6: 8 + D6: 3,9 + G6: 7 + H6: 3 + B6: 1,5 + F7: 8 + F1: 1,2
* CNT   6 HDP CHAINS /  18 HYP OPENED

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

Details

This sudoku is deep. Here is some information that may be helpful on how to proceed.

Positions

98.7.....6...8......5..4...7..8..9...3....86.....4...2.9.6..3....1.2.........5..1 initial
98.7.....6...8......5..4...7..8..9...3....86.....4...2.9.6..3....1.2.........5..1 autosolve

Classification

level: deep

Pairing Analysis

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

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E7,F7: 1.. / E7 = 1  =>  1 pairs (_) / F7 = 1  =>  1 pairs (_)
D8,D9: 4.. / D8 = 4  =>  2 pairs (_) / D9 = 4  =>  2 pairs (_)
E1,D2: 5.. / E1 = 5  =>  1 pairs (_) / D2 = 5  =>  1 pairs (_)
H3,I3: 8.. / H3 = 8  =>  1 pairs (_) / I3 = 8  =>  1 pairs (_)
A6,C6: 8.. / A6 = 8  =>  2 pairs (_) / C6 = 8  =>  2 pairs (_)
F7,F8: 8.. / F7 = 8  =>  0 pairs (_) / F8 = 8  =>  3 pairs (_)
C5,C6: 9.. / C5 = 9  =>  2 pairs (_) / C6 = 9  =>  2 pairs (_)
* DURATION: 0:00:04.376175  START: 02:07:28.653285  END: 02:07:33.029460 2020-09-23
* CP COUNT: (7)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F7,F8: 8.. / F7 = 8 ==>  0 pairs (_) / F8 = 8 ==>  3 pairs (_)
C5,C6: 9.. / C5 = 9 ==>  2 pairs (_) / C6 = 9 ==>  0 pairs (X)
A6,C6: 8.. / A6 = 8 ==>  2 pairs (_) / C6 = 8 ==>  0 pairs (*)
* DURATION: 0:00:33.857032  START: 02:07:49.273471  END: 02:08:23.130503 2020-09-23
* REASONING C5,C6: 9..
* DIS # C6: 9 # C1: 2,4 => CTR => C1: 3
* DIS # C6: 9 + C1: 3 # C2: 2,4 => CTR => C2: 7
* DIS # C6: 9 + C1: 3 + C2: 7 # C7: 2,4 => CTR => C7: 8
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 # C9: 2,4 => CTR => C9: 6
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 # E5: 5,9 => CTR => E5: 1,7
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 + E5: 1,7 # G1: 5,6 => CTR => G1: 1,2,4
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 + E5: 1,7 + G1: 1,2,4 # I1: 4 => CTR => I1: 5,6
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 + E5: 1,7 + G1: 1,2,4 + I1: 5,6 # E3: 3,9 => CTR => E3: 6
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 + E5: 1,7 + G1: 1,2,4 + I1: 5,6 + E3: 6 => CTR => C6: 6,8
* STA C6: 6,8
* CNT   9 HDP CHAINS /  22 HYP OPENED
* REASONING A6,C6: 8..
* DIS # C6: 8 # D6: 1,5 => CTR => D6: 3,9
* DIS # C6: 8 + D6: 3,9 # G6: 1,5 => CTR => G6: 7
* DIS # C6: 8 + D6: 3,9 + G6: 7 # H6: 1,5 => CTR => H6: 3
* DIS # C6: 8 + D6: 3,9 + G6: 7 + H6: 3 # B6: 6 => CTR => B6: 1,5
* DIS # C6: 8 + D6: 3,9 + G6: 7 + H6: 3 + B6: 1,5 # F7: 1,7 => CTR => F7: 8
* PRF # C6: 8 + D6: 3,9 + G6: 7 + H6: 3 + B6: 1,5 + F7: 8 # F1: 1,2 => SOL
* STA # C6: 8 + D6: 3,9 + G6: 7 + H6: 3 + B6: 1,5 + F7: 8 + F1: 1,2
* CNT   6 HDP CHAINS /  18 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

2487226;2019_08_05_a;PAQ;22;11.60;11.60;8.00

Appendix: Full HDP Chains

A1. Pair Reduction Analysis

Full list of HDP chains traversed:

* INC # F7: 1,7 => UNS
* INC # F7: 8 => UNS
* INC # E5: 1,7 => UNS
* INC # E5: 5,9 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # F7: 1,7 => UNS
* INC # F7: 8 => UNS
* INC # E5: 1,7 => UNS
* INC # E5: 5,9 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # F7: 1,7 => UNS
* INC # F7: 8 => UNS
* INC # E5: 1,7 => UNS
* INC # E5: 5,9 => UNS
* INC # F7: 1,7 # E5: 1,7 => UNS
* INC # F7: 1,7 # E5: 5,9 => UNS
* INC # F7: 1,7 # F5: 1,7 => UNS
* INC # F7: 1,7 # F6: 1,7 => UNS
* INC # F7: 1,7 # D8: 3,9 => UNS
* INC # F7: 1,7 # D9: 3,9 => UNS
* INC # F7: 1,7 # E3: 3,9 => UNS
* INC # F7: 1,7 # E3: 1,6 => UNS
* INC # F7: 1,7 => UNS
* INC # F7: 8 => UNS
* INC # E5: 1,7 # F5: 1,7 => UNS
* INC # E5: 1,7 # F6: 1,7 => UNS
* INC # E5: 1,7 # F7: 1,7 => UNS
* INC # E5: 1,7 # F7: 8 => UNS
* INC # E5: 1,7 # F7: 7,8 => UNS
* INC # E5: 1,7 # F7: 1 => UNS
* INC # E5: 1,7 # H8: 7,8 => UNS
* INC # E5: 1,7 # I8: 7,8 => UNS
* INC # E5: 1,7 # D8: 3,9 => UNS
* INC # E5: 1,7 # D9: 3,9 => UNS
* INC # E5: 1,7 # E3: 3,9 => UNS
* INC # E5: 1,7 # E3: 6 => UNS
* INC # E5: 1,7 => UNS
* INC # E5: 5,9 # D5: 5,9 => UNS
* INC # E5: 5,9 # D6: 5,9 => UNS
* INC # E5: 5,9 => UNS
* CNT  30 HDP CHAINS /  30 HYP OPENED

A4. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F7,F8: 8..:

* INC # F8: 8 # E5: 1,7 => UNS
* INC # F8: 8 # E5: 5,9 => UNS
* INC # F8: 8 # F5: 1,7 => UNS
* INC # F8: 8 # F6: 1,7 => UNS
* INC # F8: 8 # D8: 3,9 => UNS
* INC # F8: 8 # D9: 3,9 => UNS
* INC # F8: 8 # E3: 3,9 => UNS
* INC # F8: 8 # E3: 1,6 => UNS
* INC # F8: 8 => UNS
* INC # F7: 8 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for C5,C6: 9..:

* INC # C5: 9 # C9: 6,8 => UNS
* INC # C5: 9 # C9: 2,3,4,7 => UNS
* INC # C5: 9 # F7: 1,7 => UNS
* INC # C5: 9 # F7: 8 => UNS
* INC # C5: 9 # E5: 1,7 => UNS
* INC # C5: 9 # E5: 5 => UNS
* INC # C5: 9 => UNS
* INC # C6: 9 # B4: 2,4 => UNS
* INC # C6: 9 # C4: 2,4 => UNS
* INC # C6: 9 # A5: 2,4 => UNS
* DIS # C6: 9 # C1: 2,4 => CTR => C1: 3
* DIS # C6: 9 + C1: 3 # C2: 2,4 => CTR => C2: 7
* DIS # C6: 9 + C1: 3 + C2: 7 # C7: 2,4 => CTR => C7: 8
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 # C9: 2,4 => CTR => C9: 6
* INC # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 # E5: 1,7 => UNS
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 # E5: 5,9 => CTR => E5: 1,7
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 + E5: 1,7 # G1: 5,6 => CTR => G1: 1,2,4
* INC # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 + E5: 1,7 + G1: 1,2,4 # I1: 5,6 => UNS
* INC # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 + E5: 1,7 + G1: 1,2,4 # I1: 5,6 => UNS
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 + E5: 1,7 + G1: 1,2,4 # I1: 4 => CTR => I1: 5,6
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 + E5: 1,7 + G1: 1,2,4 + I1: 5,6 # E3: 3,9 => CTR => E3: 6
* DIS # C6: 9 + C1: 3 + C2: 7 + C7: 8 + C9: 6 + E5: 1,7 + G1: 1,2,4 + I1: 5,6 + E3: 6 => CTR => C6: 6,8
* STA C6: 6,8
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for A6,C6: 8..:

* INC # A6: 8 # F6: 6,9 => UNS
* INC # A6: 8 # F6: 1,3,7 => UNS
* INC # A6: 8 # F7: 1,7 => UNS
* INC # A6: 8 # F7: 8 => UNS
* INC # A6: 8 # E5: 1,7 => UNS
* INC # A6: 8 # E5: 5,9 => UNS
* INC # A6: 8 => UNS
* INC # C6: 8 # B4: 1,5 => UNS
* INC # C6: 8 # A5: 1,5 => UNS
* INC # C6: 8 # B6: 1,5 => UNS
* DIS # C6: 8 # D6: 1,5 => CTR => D6: 3,9
* DIS # C6: 8 + D6: 3,9 # G6: 1,5 => CTR => G6: 7
* DIS # C6: 8 + D6: 3,9 + G6: 7 # H6: 1,5 => CTR => H6: 3
* INC # C6: 8 + D6: 3,9 + G6: 7 + H6: 3 # B6: 1,5 => UNS
* DIS # C6: 8 + D6: 3,9 + G6: 7 + H6: 3 # B6: 6 => CTR => B6: 1,5
* DIS # C6: 8 + D6: 3,9 + G6: 7 + H6: 3 + B6: 1,5 # F7: 1,7 => CTR => F7: 8
* PRF # C6: 8 + D6: 3,9 + G6: 7 + H6: 3 + B6: 1,5 + F7: 8 # F1: 1,2 => SOL
* STA # C6: 8 + D6: 3,9 + G6: 7 + H6: 3 + B6: 1,5 + F7: 8 + F1: 1,2
* CNT  17 HDP CHAINS /  18 HYP OPENED