Analysis of xx-ph-00247935-12_12_03-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: .......12.....3..4..4.1.5....1.6..2..7.3.....8..9...5...6.....5.9...86..3..7..... initial

Autosolve

position: .......12.....3..4..4.1.5....1.6..2..7.3.....8..9...5...6.....5.9...86..3..7.6... 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: 0:00:35.259027

The following important HDP chains were detected:

* DIS # B6: 2,3 # A4: 4,5 => CTR => A4: 9
* DIS # B6: 2,3 + A4: 9 # D1: 5,8 => CTR => D1: 4,6
* DIS # B6: 2,3 + A4: 9 + D1: 4,6 # A2: 5,7 => CTR => A2: 1,2
* DIS # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # F3: 2,7 => CTR => F3: 9
* PRF # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 + F3: 9 # A7: 2,7 => SOL
* STA # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 + F3: 9 + A7: 2,7
* CNT   5 HDP CHAINS /  29 HYP OPENED

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

Details

Positions

.......12.....3..4..4.1.5....1.6..2..7.3.....8..9...5...6.....5.9...86..3..7..... initial
.......12.....3..4..4.1.5....1.6..2..7.3.....8..9...5...6.....5.9...86..3..7.6... autosolve
569487312187523964234619578941865723675342189823971456716234895492158637358796241 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
C6: 2,3

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A2,B2: 1.. / A2 = 1  =>  1 pairs (_) / B2 = 1  =>  2 pairs (_)
F5,F6: 1.. / F5 = 1  =>  1 pairs (_) / F6 = 1  =>  1 pairs (_)
D7,D8: 1.. / D7 = 1  =>  1 pairs (_) / D8 = 1  =>  3 pairs (_)
G7,G9: 2.. / G7 = 2  =>  3 pairs (_) / G9 = 2  =>  2 pairs (_)
E7,E8: 3.. / E7 = 3  =>  1 pairs (_) / E8 = 3  =>  3 pairs (_)
C1,C6: 3.. / C1 = 3  =>  4 pairs (_) / C6 = 3  =>  1 pairs (_)
A5,B6: 6.. / A5 = 6  =>  1 pairs (_) / B6 = 6  =>  1 pairs (_)
B6,I6: 6.. / B6 = 6  =>  1 pairs (_) / I6 = 6  =>  1 pairs (_)
D4,E5: 8.. / D4 = 8  =>  2 pairs (_) / E5 = 8  =>  2 pairs (_)
* DURATION: 0:00:05.624237  START: 14:16:04.133066  END: 14:16:09.757303 2020-09-22
* CP COUNT: (9)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:35.088795  START: 14:16:11.684756  END: 14:16:46.773551 2020-09-22
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00247935-12_12_03-base-pr-002.dot
* REASONING
* DIS # B6: 2,3 # A4: 4,5 => CTR => A4: 9
* DIS # B6: 2,3 + A4: 9 # D1: 5,8 => CTR => D1: 4,6
* DIS # B6: 2,3 + A4: 9 + D1: 4,6 # A2: 5,7 => CTR => A2: 1,2
* DIS # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # F3: 2,7 => CTR => F3: 9
* PRF # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 + F3: 9 # A7: 2,7 => SOL
* STA # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 + F3: 9 + A7: 2,7
* CNT   5 HDP CHAINS /  29 HYP OPENED

Header Info

247935;12_12_03;dob;22;11.70;1.20;1.20

Solution

position: 569487312187523964234619578941865723675342189823971456716234895492158637358796241 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 # B6: 2,3 => UNS
* INC # B6: 4,6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # B6: 2,3 => UNS
* INC # B6: 4,6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # B6: 2,3 => UNS
* INC # B6: 4,6 => UNS
* DIS # B6: 2,3 # A4: 4,5 => CTR => A4: 9
* INC # B6: 2,3 + A4: 9 # B3: 2,3 => UNS
* INC # B6: 2,3 + A4: 9 # B3: 6,8 => UNS
* DIS # B6: 2,3 + A4: 9 # D1: 5,8 => CTR => D1: 4,6
* INC # B6: 2,3 + A4: 9 + D1: 4,6 # D2: 5,8 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 # D2: 5,8 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 # D2: 2,6 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 # D2: 5,8 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 # D2: 2,6 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 # F1: 5,7 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 # F1: 4,9 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 # F6: 4,7 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 # F6: 1 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 # G6: 4,7 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 # G6: 1 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 # E1: 4,7 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 # E1: 5,8,9 => UNS
* DIS # B6: 2,3 + A4: 9 + D1: 4,6 # A2: 5,7 => CTR => A2: 1,2
* INC # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # E1: 5,7 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # F1: 5,7 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # A8: 5,7 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # A8: 1,2,4 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # C2: 2,7 => UNS
* INC # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # C2: 8,9 => UNS
* DIS # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 # F3: 2,7 => CTR => F3: 9
* PRF # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 + F3: 9 # A7: 2,7 => SOL
* STA # B6: 2,3 + A4: 9 + D1: 4,6 + A2: 1,2 + F3: 9 + A7: 2,7
* CNT  28 HDP CHAINS /  29 HYP OPENED