Analysis of xx-ph-00000414-L32-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 1...5...9..7........83...4..4.8.7.......1...2.6...3.7.......2...8.6...3.9.....5.. initial

Autosolve

position: 1...5...9..7........83...4..4.8.7.......1...2.6...3.7.......2...8.6...3.9.....5.. 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: 0:00:33.758696

The following important HDP chains were detected:

* DIS # C1: 2,3 # C9: 2,3 => CTR => C9: 4,6
* DIS # C1: 2,3 + C9: 4,6 # F3: 1,9 => CTR => F3: 2
* DIS # C1: 2,3 + C9: 4,6 + F3: 2 # I2: 6,8 => CTR => I2: 3,5
* PRF # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 # H5: 6,8 => SOL
* STA # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 + H5: 6,8
* CNT   4 HDP CHAINS /  28 HYP OPENED

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

Details

Positions

1...5...9..7........83...4..4.8.7.......1...2.6...3.7.......2...8.6...3.9.....5.. initial
1...5...9..7........83...4..4.8.7.......1...2.6...3.7.......2...8.6...3.9.....5.. autosolve
123456789457189623698372145249867351735914862861523974316745298582691437974238516 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
B1: 2,3

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C4,C6: 1.. / C4 = 1  =>  1 pairs (_) / C6 = 1  =>  1 pairs (_)
B7,B9: 1.. / B7 = 1  =>  1 pairs (_) / B9 = 1  =>  3 pairs (_)
H1,H2: 2.. / H1 = 2  =>  3 pairs (_) / H2 = 2  =>  2 pairs (_)
E7,E9: 3.. / E7 = 3  =>  1 pairs (_) / E9 = 3  =>  1 pairs (_)
I2,I4: 3.. / I2 = 3  =>  1 pairs (_) / I4 = 3  =>  2 pairs (_)
C1,A2: 4.. / C1 = 4  =>  3 pairs (_) / A2 = 4  =>  1 pairs (_)
E4,F5: 6.. / E4 = 6  =>  2 pairs (_) / F5 = 6  =>  2 pairs (_)
D1,E3: 7.. / D1 = 7  =>  1 pairs (_) / E3 = 7  =>  3 pairs (_)
A5,B5: 7.. / A5 = 7  =>  5 pairs (_) / B5 = 7  =>  1 pairs (_)
D1,G1: 7.. / D1 = 7  =>  1 pairs (_) / G1 = 7  =>  3 pairs (_)
A5,A6: 8.. / A5 = 8  =>  2 pairs (_) / A6 = 8  =>  1 pairs (_)
B2,B3: 9.. / B2 = 9  =>  2 pairs (_) / B3 = 9  =>  1 pairs (_)
H7,G8: 9.. / H7 = 9  =>  1 pairs (_) / G8 = 9  =>  1 pairs (_)
* DURATION: 0:00:10.192239  START: 14:20:49.084119  END: 14:20:59.276358 2020-10-18
* CP COUNT: (13)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:33.580309  START: 14:21:04.895238  END: 14:21:38.475547 2020-10-18
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00000414-L32-base-pr-002.dot
* REASONING
* DIS # C1: 2,3 # C9: 2,3 => CTR => C9: 4,6
* DIS # C1: 2,3 + C9: 4,6 # F3: 1,9 => CTR => F3: 2
* DIS # C1: 2,3 + C9: 4,6 + F3: 2 # I2: 6,8 => CTR => I2: 3,5
* PRF # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 # H5: 6,8 => SOL
* STA # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 + H5: 6,8
* CNT   4 HDP CHAINS /  28 HYP OPENED

Header Info

414;L32;elev;21;11.40;11.40;2.60

Solution

position: 123456789457189623698372145249867351735914862861523974316745298582691437974238516 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 # C1: 2,3 => UNS
* INC # A2: 2,3 => UNS
* INC # B2: 2,3 => UNS
* INC # B9: 2,3 => UNS
* INC # B9: 1,7 => UNS
* CNT   5 HDP CHAINS /   5 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # C1: 2,3 => UNS
* INC # A2: 2,3 => UNS
* INC # B2: 2,3 => UNS
* INC # B9: 2,3 => UNS
* INC # B9: 1,7 => UNS
* CNT   5 HDP CHAINS /   5 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # C1: 2,3 => UNS
* INC # A2: 2,3 => UNS
* INC # B2: 2,3 => UNS
* INC # B9: 2,3 => UNS
* INC # B9: 1,7 => UNS
* INC # C1: 2,3 # B9: 2,3 => UNS
* INC # C1: 2,3 # B9: 1,7 => UNS
* INC # C1: 2,3 # C4: 2,3 => UNS
* DIS # C1: 2,3 # C9: 2,3 => CTR => C9: 4,6
* INC # C1: 2,3 + C9: 4,6 # C4: 2,3 => UNS
* INC # C1: 2,3 + C9: 4,6 # C4: 1,5,9 => UNS
* INC # C1: 2,3 + C9: 4,6 # C4: 2,3 => UNS
* INC # C1: 2,3 + C9: 4,6 # C4: 1,5,9 => UNS
* INC # C1: 2,3 + C9: 4,6 # D7: 4,7 => UNS
* INC # C1: 2,3 + C9: 4,6 # D9: 4,7 => UNS
* INC # C1: 2,3 + C9: 4,6 # F2: 1,9 => UNS
* DIS # C1: 2,3 + C9: 4,6 # F3: 1,9 => CTR => F3: 2
* INC # C1: 2,3 + C9: 4,6 + F3: 2 # F2: 1,9 => UNS
* INC # C1: 2,3 + C9: 4,6 + F3: 2 # F2: 6,8 => UNS
* INC # C1: 2,3 + C9: 4,6 + F3: 2 # D7: 1,9 => UNS
* INC # C1: 2,3 + C9: 4,6 + F3: 2 # D7: 4,5,7 => UNS
* INC # C1: 2,3 + C9: 4,6 + F3: 2 # G1: 6,8 => UNS
* INC # C1: 2,3 + C9: 4,6 + F3: 2 # G2: 6,8 => UNS
* DIS # C1: 2,3 + C9: 4,6 + F3: 2 # I2: 6,8 => CTR => I2: 3,5
* INC # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 # F1: 6,8 => UNS
* INC # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 # F1: 4 => UNS
* PRF # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 # H5: 6,8 => SOL
* STA # C1: 2,3 + C9: 4,6 + F3: 2 + I2: 3,5 + H5: 6,8
* CNT  27 HDP CHAINS /  28 HYP OPENED