Analysis of xx-ph-00292220-12_12_03-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
Details
Solution
Appendix: Full HDP Chains

Original Sudoku

level: hard

position: ........1.....2.3...4.5.6....6..7....5..8....48....7....8.7.5...4.3....99....1.2. initial

Autosolve

position: ........1.....2.3...4.5.6....6..7....5..8....48....7....8.7.5...4.3....99....1.2. autosolve

Pair Reduction Variants

Pair Reduction Analysis

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

Pair Reduction

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

Deep Pair Reduction

Time used: 0:00:24.719812

The following important HDP chains were detected:

* DIS # D7: 2,6 # H8: 1,8 => CTR => H8: 6,7
* PRF # D7: 2,6 + H8: 6,7 # I9: 3,8 => SOL
* STA # D7: 2,6 + H8: 6,7 + I9: 3,8
* CNT   2 HDP CHAINS /  33 HYP OPENED

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

Details

Positions

`........1.....2.3...4.5.6....6..7....5..8....48....7....8.7.5...4.3....99....1.2.`	initial
`........1.....2.3...4.5.6....6..7....5..8....48....7....8.7.5...4.3....99....1.2.`	autosolve
`635794281879612435124853697296137854753486912481925763318279546542368179967541328`	solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (5)
E8: 2,6
F8: 5,8
D9: 5,8
E9: 4,6
G8: 1,8

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G1,I3: 2.. / G1 = 2  =>  6 pairs (_) / I3 = 2  =>  5 pairs (_)
D7,E8: 2.. / D7 = 2  =>  7 pairs (_) / E8 = 2  =>  4 pairs (_)
H1,I2: 5.. / H1 = 5  =>  5 pairs (_) / I2 = 5  =>  5 pairs (_)
F8,D9: 5.. / F8 = 5  =>  4 pairs (_) / D9 = 5  =>  6 pairs (_)
C9,D9: 5.. / C9 = 5  =>  4 pairs (_) / D9 = 5  =>  6 pairs (_)
F6,F8: 5.. / F6 = 5  =>  6 pairs (_) / F8 = 5  =>  4 pairs (_)
A5,C5: 7.. / A5 = 7  =>  5 pairs (_) / C5 = 7  =>  6 pairs (_)
H8,I9: 7.. / H8 = 7  =>  6 pairs (_) / I9 = 7  =>  8 pairs (_)
F8,D9: 8.. / F8 = 8  =>  6 pairs (_) / D9 = 8  =>  4 pairs (_)
D7,F7: 9.. / D7 = 9  =>  5 pairs (_) / F7 = 9  =>  6 pairs (_)
* DURATION: 0:00:07.030996  START: 14:28:33.387342  END: 14:28:40.418338 2020-10-21
* CP COUNT: (10)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:24.555098  START: 14:28:53.455256  END: 14:29:18.010354 2020-10-21
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00292220-12_12_03-base-pr-002.dot
* REASONING
* DIS # D7: 2,6 # H8: 1,8 => CTR => H8: 6,7
* PRF # D7: 2,6 + H8: 6,7 # I9: 3,8 => SOL
* STA # D7: 2,6 + H8: 6,7 + I9: 3,8
* CNT   2 HDP CHAINS /  33 HYP OPENED

Header Info

292220;12_12_03;dob;22;11.40;11.40;3.40

Solution

position: 635794281879612435124853697296137854753486912481925763318279546542368179967541328 solved

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 # D7: 2,6 => UNS
* INC # D7: 4,9 => UNS
* INC # A8: 2,6 => UNS
* INC # A8: 1,5,7 => UNS
* INC # E6: 2,6 => UNS
* INC # E6: 1,3,9 => UNS
* INC # D7: 4,6 => UNS
* INC # F7: 4,6 => UNS
* INC # I9: 4,6 => UNS
* INC # I9: 3,7,8 => UNS
* INC # E1: 4,6 => UNS
* INC # E2: 4,6 => UNS
* INC # H8: 1,8 => UNS
* INC # H8: 6,7 => UNS
* INC # G4: 1,8 => UNS
* INC # G4: 2,3,4,9 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # D7: 2,6 => UNS
* INC # D7: 4,9 => UNS
* INC # A8: 2,6 => UNS
* INC # A8: 1,5,7 => UNS
* INC # E6: 2,6 => UNS
* INC # E6: 1,3,9 => UNS
* INC # D7: 4,6 => UNS
* INC # F7: 4,6 => UNS
* INC # I9: 4,6 => UNS
* INC # I9: 3,7,8 => UNS
* INC # E1: 4,6 => UNS
* INC # E2: 4,6 => UNS
* INC # H8: 1,8 => UNS
* INC # H8: 6,7 => UNS
* INC # G4: 1,8 => UNS
* INC # G4: 2,3,4,9 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # D7: 2,6 => UNS
* INC # D7: 4,9 => UNS
* INC # A8: 2,6 => UNS
* INC # A8: 1,5,7 => UNS
* INC # E6: 2,6 => UNS
* INC # E6: 1,3,9 => UNS
* INC # D7: 4,6 => UNS
* INC # F7: 4,6 => UNS
* INC # I9: 4,6 => UNS
* INC # I9: 3,7,8 => UNS
* INC # E1: 4,6 => UNS
* INC # E2: 4,6 => UNS
* INC # H8: 1,8 => UNS
* INC # H8: 6,7 => UNS
* INC # G4: 1,8 => UNS
* INC # G4: 2,3,4,9 => UNS
* INC # D7: 2,6 # F1: 3,8 => UNS
* INC # D7: 2,6 # F1: 4,6 => UNS
* INC # D7: 2,6 # A3: 3,8 => UNS
* INC # D7: 2,6 # A3: 1,2,7 => UNS
* INC # D7: 2,6 # A7: 2,6 => UNS
* INC # D7: 2,6 # B7: 2,6 => UNS
* INC # D7: 2,6 # D5: 2,6 => UNS
* INC # D7: 2,6 # D6: 2,6 => UNS
* INC # D7: 2,6 # A8: 2,6 => UNS
* INC # D7: 2,6 # A8: 1,5,7 => UNS
* INC # D7: 2,6 # E6: 2,6 => UNS
* INC # D7: 2,6 # E6: 1,3,9 => UNS
* DIS # D7: 2,6 # H8: 1,8 => CTR => H8: 6,7
* INC # D7: 2,6 + H8: 6,7 # G4: 1,8 => UNS
* INC # D7: 2,6 + H8: 6,7 # G4: 2,3,4,9 => UNS
* PRF # D7: 2,6 + H8: 6,7 # I9: 3,8 => SOL
* STA # D7: 2,6 + H8: 6,7 + I9: 3,8
* CNT  32 HDP CHAINS /  33 HYP OPENED