Analysis of xx-ph-00035202-12_05-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6..7...8.....54....7.8...3.7...7...2.5...5.....1.3..6.9.......1.4.........2 initial

Autosolve

position: 98.7..6..7...8.....54....7.8...3.7...7...2.5...5.....1.3..6.9.......1.4.........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: 0:00:23.328268

The following important HDP chains were detected:

* DIS # H9: 1,8 # H2: 2,3 => CTR => H2: 9
* DIS # H9: 1,8 + H2: 9 # C1: 2,3 => CTR => C1: 1
* DIS # H9: 1,8 + H2: 9 + C1: 1 # H6: 6 => CTR => H6: 2,3
* DIS # H9: 1,8 + H2: 9 + C1: 1 + H6: 2,3 # I5: 4,9 => CTR => I5: 3,8
* PRF # H9: 1,8 + H2: 9 + C1: 1 + H6: 2,3 + I5: 3,8 => SOL
* STA H9: 1,8
* CNT   5 HDP CHAINS /  31 HYP OPENED

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

Details

Positions

98.7..6..7...8.....54....7.8...3.7...7...2.5...5.....1.3..6.9.......1.4.........2 initial
98.7..6..7...8.....54....7.8...3.7...7...2.5...5.....1.3..6.9.......1.4.........2 autosolve
981743625723586194654129873812435769379612458465978231538264917297851346146397582 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
H7: 1,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,F4: 5.. / D4 = 5  =>  1 pairs (_) / F4 = 5  =>  2 pairs (_)
I8,H9: 6.. / I8 = 6  =>  4 pairs (_) / H9 = 6  =>  2 pairs (_)
E6,F6: 7.. / E6 = 7  =>  1 pairs (_) / F6 = 7  =>  2 pairs (_)
I7,I8: 7.. / I7 = 7  =>  1 pairs (_) / I8 = 7  =>  4 pairs (_)
G3,I3: 8.. / G3 = 8  =>  4 pairs (_) / I3 = 8  =>  2 pairs (_)
* DURATION: 0:00:03.214110  START: 18:57:32.811180  END: 18:57:36.025290 2020-12-15
* CP COUNT: (5)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:23.145888  START: 18:57:39.443249  END: 18:58:02.589137 2020-12-15
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00035202-12_05-base-pr-002.dot
* REASONING
* DIS # H9: 1,8 # H2: 2,3 => CTR => H2: 9
* DIS # H9: 1,8 + H2: 9 # C1: 2,3 => CTR => C1: 1
* DIS # H9: 1,8 + H2: 9 + C1: 1 # H6: 6 => CTR => H6: 2,3
* DIS # H9: 1,8 + H2: 9 + C1: 1 + H6: 2,3 # I5: 4,9 => CTR => I5: 3,8
* PRF # H9: 1,8 + H2: 9 + C1: 1 + H6: 2,3 + I5: 3,8 => SOL
* STA H9: 1,8
* CNT   5 HDP CHAINS /  31 HYP OPENED

Header Info

35202;12_05;GP;23;11.30;11.30;9.00

Solution

position: 981743625723586194654129873812435769379612458465978231538264917297851346146397582 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 # G9: 1,8 => UNS
* INC # H9: 1,8 => UNS
* INC # C7: 1,8 => UNS
* INC # C7: 2,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # G9: 1,8 => UNS
* INC # H9: 1,8 => UNS
* INC # C7: 1,8 => UNS
* INC # C7: 2,7 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # G9: 1,8 => UNS
* INC # H9: 1,8 => UNS
* INC # C7: 1,8 => UNS
* INC # C7: 2,7 => UNS
* INC # G9: 1,8 # C7: 1,8 => UNS
* INC # G9: 1,8 # C7: 2,7 => UNS
* INC # G9: 1,8 # I8: 5,7 => UNS
* INC # G9: 1,8 # I8: 3,6 => UNS
* INC # G9: 1,8 # F7: 5,7 => UNS
* INC # G9: 1,8 # F7: 4,8 => UNS
* INC # G9: 1,8 # I8: 3,5 => UNS
* INC # G9: 1,8 # I8: 6,7 => UNS
* INC # G9: 1,8 # D8: 3,5 => UNS
* INC # G9: 1,8 # D8: 2,8,9 => UNS
* INC # G9: 1,8 # G2: 3,5 => UNS
* INC # G9: 1,8 # G2: 1,2,4 => UNS
* INC # G9: 1,8 # C9: 1,8 => UNS
* INC # G9: 1,8 # C9: 6,7,9 => UNS
* INC # G9: 1,8 # G3: 1,8 => UNS
* INC # G9: 1,8 # G3: 2,3 => UNS
* INC # G9: 1,8 # I8: 3,6 => UNS
* INC # G9: 1,8 # I8: 5,7 => UNS
* INC # G9: 1,8 # H6: 3,6 => UNS
* INC # G9: 1,8 # H6: 2,8,9 => UNS
* INC # G9: 1,8 => UNS
* DIS # H9: 1,8 # H2: 2,3 => CTR => H2: 9
* DIS # H9: 1,8 + H2: 9 # C1: 2,3 => CTR => C1: 1
* INC # H9: 1,8 + H2: 9 + C1: 1 # H6: 2,3 => UNS
* DIS # H9: 1,8 + H2: 9 + C1: 1 # H6: 6 => CTR => H6: 2,3
* DIS # H9: 1,8 + H2: 9 + C1: 1 + H6: 2,3 # I5: 4,9 => CTR => I5: 3,8
* PRF # H9: 1,8 + H2: 9 + C1: 1 + H6: 2,3 + I5: 3,8 => SOL
* STA H9: 1,8
* CNT  31 HDP CHAINS /  31 HYP OPENED