Analysis of xx-ph-00247921-12_12_03-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: .......12.....3..4..2.4.5....1.3...5.3.6.....7....8.....4.2..5..8.7.....6..3..9.. initial

Autosolve

position: .......12...2.3..4..2.4.5....1.3...5.3.6.....7....8.....4.2..5..8.7.....6..3..9.. 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: 0:00:20.349088

The following important HDP chains were detected:

* PRF # D6: 4,9 # E8: 1,5 => SOL
* STA # D6: 4,9 + E8: 1,5
* CNT   1 HDP CHAINS /  26 HYP OPENED

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

Details

Positions

.......12.....3..4..2.4.5....1.3...5.3.6.....7....8.....4.2..5..8.7.....6..3..9.. initial
.......12...2.3..4..2.4.5....1.3...5.3.6.....7....8.....4.2..5..8.7.....6..3..9.. autosolve
498567312517293684362841597841932765239675148756418239974126853183759426625384971 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
D4: 4,9
C9: 5,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F4,F5: 2.. / F4 = 2  =>  2 pairs (_) / F5 = 2  =>  3 pairs (_)
A8,B9: 2.. / A8 = 2  =>  2 pairs (_) / B9 = 2  =>  2 pairs (_)
B9,H9: 2.. / B9 = 2  =>  2 pairs (_) / H9 = 2  =>  2 pairs (_)
C1,C8: 3.. / C1 = 3  =>  3 pairs (_) / C8 = 3  =>  4 pairs (_)
A1,B1: 4.. / A1 = 4  =>  2 pairs (_) / B1 = 4  =>  2 pairs (_)
D4,D6: 4.. / D4 = 4  =>  1 pairs (_) / D6 = 4  =>  5 pairs (_)
F8,F9: 4.. / F8 = 4  =>  3 pairs (_) / F9 = 4  =>  2 pairs (_)
F9,H9: 4.. / F9 = 4  =>  2 pairs (_) / H9 = 4  =>  3 pairs (_)
D1,D6: 5.. / D1 = 5  =>  2 pairs (_) / D6 = 5  =>  4 pairs (_)
D7,E9: 8.. / D7 = 8  =>  5 pairs (_) / E9 = 8  =>  4 pairs (_)
* DURATION: 0:00:06.587391  START: 07:43:07.337328  END: 07:43:13.924719 2020-10-01
* CP COUNT: (10)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:20.217903  START: 07:43:21.407564  END: 07:43:41.625467 2020-10-01
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00247921-12_12_03-base-pr-002.dot
* REASONING
* PRF # D6: 4,9 # E8: 1,5 => SOL
* STA # D6: 4,9 + E8: 1,5
* CNT   1 HDP CHAINS /  26 HYP OPENED

Header Info

247921;12_12_03;dob;22;11.50;1.20;1.20

Solution

position: 498567312517293684362841597841932765239675148756418239974126853183759426625384971 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 # D6: 4,9 => UNS
* INC # D6: 1,5 => UNS
* INC # A4: 4,9 => UNS
* INC # B4: 4,9 => UNS
* INC # H4: 4,9 => UNS
* INC # B9: 5,7 => UNS
* INC # B9: 1,2 => UNS
* INC # C1: 5,7 => UNS
* INC # C2: 5,7 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # D6: 4,9 => UNS
* INC # D6: 1,5 => UNS
* INC # A4: 4,9 => UNS
* INC # B4: 4,9 => UNS
* INC # H4: 4,9 => UNS
* INC # B9: 5,7 => UNS
* INC # B9: 1,2 => UNS
* INC # C1: 5,7 => UNS
* INC # C2: 5,7 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # D6: 4,9 => UNS
* INC # D6: 1,5 => UNS
* INC # A4: 4,9 => UNS
* INC # B4: 4,9 => UNS
* INC # H4: 4,9 => UNS
* INC # B9: 5,7 => UNS
* INC # B9: 1,2 => UNS
* INC # C1: 5,7 => UNS
* INC # C2: 5,7 => UNS
* INC # D6: 4,9 # E2: 1,8 => UNS
* INC # D6: 4,9 # E2: 6,7,9 => UNS
* INC # D6: 4,9 # A3: 1,8 => UNS
* INC # D6: 4,9 # A3: 3,9 => UNS
* INC # D6: 4,9 # A4: 4,9 => UNS
* INC # D6: 4,9 # B4: 4,9 => UNS
* INC # D6: 4,9 # H4: 4,9 => UNS
* INC # D6: 4,9 # F5: 2,7 => UNS
* INC # D6: 4,9 # F5: 1,5 => UNS
* INC # D6: 4,9 # G4: 2,7 => UNS
* INC # D6: 4,9 # H4: 2,7 => UNS
* INC # D6: 4,9 # B6: 4,9 => UNS
* INC # D6: 4,9 # H6: 4,9 => UNS
* INC # D6: 4,9 # E5: 1,5 => UNS
* INC # D6: 4,9 # F5: 1,5 => UNS
* PRF # D6: 4,9 # E8: 1,5 => SOL
* STA # D6: 4,9 + E8: 1,5
* CNT  25 HDP CHAINS /  26 HYP OPENED