Analysis of xx-ph-00000623-H118-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7.....6.....7....7.5..9..4.....3...68..5......2...1..85..9......3...4.....1.2. initial

Autosolve

position: 98.7.....6.....7....7.5..9..4.....3...68..5......2...1..85..9......3...4.....1.2. 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: 0:00:26.734672

The following important HDP chains were detected:

* DIS # H6: 4,7 # I4: 2,9 => CTR => I4: 6,8
* DIS # H6: 4,7 + I4: 6,8 # G3: 6,8 => CTR => G3: 1,3,4
* DIS # H6: 4,7 + I4: 6,8 + G3: 1,3,4 # G9: 6,8 => CTR => G9: 3
* DIS # H6: 4,7 + I4: 6,8 + G3: 1,3,4 + G9: 3 # G8: 1 => CTR => G8: 6,8
* PRF # H6: 4,7 + I4: 6,8 + G3: 1,3,4 + G9: 3 + G8: 6,8 # B7: 1,6 => SOL
* STA # H6: 4,7 + I4: 6,8 + G3: 1,3,4 + G9: 3 + G8: 6,8 + B7: 1,6
* CNT   5 HDP CHAINS /  18 HYP OPENED

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

Details

Positions

98.7.....6.....7....7.5..9..4.....3...68..5......2...1..85..9......3...4.....1.2. initial
98.7.....6.....7....7.5..9..4.....3...68..5......2...1..85..9......3...4.....1.2. autosolve
982764153654319782137258496745196238216873549893425671368542917521937864479681325 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
H5: 4,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F4,F6: 5.. / F4 = 5  =>  1 pairs (_) / F6 = 5  =>  2 pairs (_)
H8,I9: 5.. / H8 = 5  =>  1 pairs (_) / I9 = 5  =>  1 pairs (_)
A4,A6: 8.. / A4 = 8  =>  2 pairs (_) / A6 = 8  =>  5 pairs (_)
F8,E9: 8.. / F8 = 8  =>  4 pairs (_) / E9 = 8  =>  2 pairs (_)
E2,E9: 8.. / E2 = 8  =>  4 pairs (_) / E9 = 8  =>  2 pairs (_)
I4,I5: 9.. / I4 = 9  =>  3 pairs (_) / I5 = 9  =>  1 pairs (_)
* DURATION: 0:00:05.245735  START: 15:23:54.503671  END: 15:23:59.749406 2020-11-20
* CP COUNT: (6)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:26.580303  START: 15:24:04.060821  END: 15:24:30.641124 2020-11-20
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00000623-H118-base-pr-002.dot
* REASONING
* DIS # H6: 4,7 # I4: 2,9 => CTR => I4: 6,8
* DIS # H6: 4,7 + I4: 6,8 # G3: 6,8 => CTR => G3: 1,3,4
* DIS # H6: 4,7 + I4: 6,8 + G3: 1,3,4 # G9: 6,8 => CTR => G9: 3
* DIS # H6: 4,7 + I4: 6,8 + G3: 1,3,4 + G9: 3 # G8: 1 => CTR => G8: 6,8
* PRF # H6: 4,7 + I4: 6,8 + G3: 1,3,4 + G9: 3 + G8: 6,8 # B7: 1,6 => SOL
* STA # H6: 4,7 + I4: 6,8 + G3: 1,3,4 + G9: 3 + G8: 6,8 + B7: 1,6
* CNT   5 HDP CHAINS /  18 HYP OPENED

Header Info

623;H118;GP;22;11.30;11.30;10.60

Solution

position: 982764153654319782137258496745196238216873549893425671368542917521937864479681325 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 # H6: 4,7 => UNS
* INC # H6: 6,8 => UNS
* INC # E5: 4,7 => UNS
* INC # F5: 4,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # H6: 4,7 => UNS
* INC # H6: 6,8 => UNS
* INC # E5: 4,7 => UNS
* INC # F5: 4,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # H6: 4,7 => UNS
* INC # H6: 6,8 => UNS
* INC # E5: 4,7 => UNS
* INC # F5: 4,7 => UNS
* INC # H6: 4,7 # E5: 4,7 => UNS
* INC # H6: 4,7 # F5: 4,7 => UNS
* DIS # H6: 4,7 # I4: 2,9 => CTR => I4: 6,8
* DIS # H6: 4,7 + I4: 6,8 # G3: 6,8 => CTR => G3: 1,3,4
* INC # H6: 4,7 + I4: 6,8 + G3: 1,3,4 # G8: 6,8 => UNS
* DIS # H6: 4,7 + I4: 6,8 + G3: 1,3,4 # G9: 6,8 => CTR => G9: 3
* INC # H6: 4,7 + I4: 6,8 + G3: 1,3,4 + G9: 3 # G8: 6,8 => UNS
* DIS # H6: 4,7 + I4: 6,8 + G3: 1,3,4 + G9: 3 # G8: 1 => CTR => G8: 6,8
* INC # H6: 4,7 + I4: 6,8 + G3: 1,3,4 + G9: 3 + G8: 6,8 # F6: 4,7 => UNS
* INC # H6: 4,7 + I4: 6,8 + G3: 1,3,4 + G9: 3 + G8: 6,8 # F6: 3,5,6,9 => UNS
* INC # H6: 4,7 + I4: 6,8 + G3: 1,3,4 + G9: 3 + G8: 6,8 # H8: 1,6 => UNS
* INC # H6: 4,7 + I4: 6,8 + G3: 1,3,4 + G9: 3 + G8: 6,8 # H8: 5,8 => UNS
* PRF # H6: 4,7 + I4: 6,8 + G3: 1,3,4 + G9: 3 + G8: 6,8 # B7: 1,6 => SOL
* STA # H6: 4,7 + I4: 6,8 + G3: 1,3,4 + G9: 3 + G8: 6,8 + B7: 1,6
* CNT  17 HDP CHAINS /  18 HYP OPENED