Analysis of xx-ph-00320139-12_12_03-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: .......12....13..4..12..5....26....5.7..3.6..8...9......4....5..9.48....3....7... initial

Autosolve

position: .......12....13..4..12..5....26....5.7..3.6..8...9......43...5..9.48....3....7... 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: 0:00:11.324448

The following important HDP chains were detected:

* PRF # A5: 5,9 # F4: 1,4 => SOL
* STA # A5: 5,9 + F4: 1,4
* CNT   1 HDP CHAINS /  16 HYP OPENED

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

Details

Positions

.......12....13..4..12..5....26....5.7..3.6..8...9......4....5..9.48....3....7... initial
.......12....13..4..12..5....26....5.7..3.6..8...9......43...5..9.48....3....7... autosolve
943756812258913764761248539432671985579832641816594273684329157197485326325167498 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (3)
C5: 5,9
E4: 4,7
E7: 2,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A2,B2: 2.. / A2 = 2  =>  3 pairs (_) / B2 = 2  =>  3 pairs (_)
F5,F6: 2.. / F5 = 2  =>  3 pairs (_) / F6 = 2  =>  3 pairs (_)
E7,E9: 2.. / E7 = 2  =>  3 pairs (_) / E9 = 2  =>  5 pairs (_)
F5,H5: 2.. / F5 = 2  =>  3 pairs (_) / H5 = 2  =>  3 pairs (_)
C1,C6: 3.. / C1 = 3  =>  4 pairs (_) / C6 = 3  =>  6 pairs (_)
G9,H9: 4.. / G9 = 4  =>  3 pairs (_) / H9 = 4  =>  3 pairs (_)
E1,E9: 5.. / E1 = 5  =>  7 pairs (_) / E9 = 5  =>  5 pairs (_)
B6,C6: 6.. / B6 = 6  =>  4 pairs (_) / C6 = 6  =>  5 pairs (_)
E4,D6: 7.. / E4 = 7  =>  4 pairs (_) / D6 = 7  =>  7 pairs (_)
F7,D9: 9.. / F7 = 9  =>  4 pairs (_) / D9 = 9  =>  5 pairs (_)
* DURATION: 0:00:06.444400  START: 03:58:32.822005  END: 03:58:39.266405 2020-12-25
* CP COUNT: (10)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:11.204715  START: 03:58:49.115019  END: 03:59:00.319734 2020-12-25
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00320139-12_12_03-base-pr-002.dot
* REASONING
* PRF # A5: 5,9 # F4: 1,4 => SOL
* STA # A5: 5,9 + F4: 1,4
* CNT   1 HDP CHAINS /  16 HYP OPENED

Header Info

320139;12_12_03;dob;23;11.30;1.20;1.20

Solution

position: 943756812258913764761248539432671985579832641816594273684329157197485326325167498 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 # A5: 5,9 => UNS
* INC # A5: 1,4 => UNS
* INC # C1: 5,9 => UNS
* INC # C2: 5,9 => UNS
* INC # G4: 4,7 => UNS
* INC # H4: 4,7 => UNS
* INC # E1: 4,7 => UNS
* INC # E3: 4,7 => UNS
* INC # E9: 2,6 => UNS
* INC # E9: 5 => UNS
* INC # A7: 2,6 => UNS
* INC # B7: 2,6 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A5: 5,9 => UNS
* INC # A5: 1,4 => UNS
* INC # C1: 5,9 => UNS
* INC # C2: 5,9 => UNS
* INC # G4: 4,7 => UNS
* INC # H4: 4,7 => UNS
* INC # E1: 4,7 => UNS
* INC # E3: 4,7 => UNS
* INC # E9: 2,6 => UNS
* INC # E9: 5 => UNS
* INC # A7: 2,6 => UNS
* INC # B7: 2,6 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A5: 5,9 => UNS
* INC # A5: 1,4 => UNS
* INC # C1: 5,9 => UNS
* INC # C2: 5,9 => UNS
* INC # G4: 4,7 => UNS
* INC # H4: 4,7 => UNS
* INC # E1: 4,7 => UNS
* INC # E3: 4,7 => UNS
* INC # E9: 2,6 => UNS
* INC # E9: 5 => UNS
* INC # A7: 2,6 => UNS
* INC # B7: 2,6 => UNS
* INC # A5: 5,9 # B4: 1,4 => UNS
* INC # A5: 5,9 # B6: 1,4 => UNS
* PRF # A5: 5,9 # F4: 1,4 => SOL
* STA # A5: 5,9 + F4: 1,4
* CNT  15 HDP CHAINS /  16 HYP OPENED