Analysis of xx-ph-00384380-12_12_03-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: ........1.....2.....3.4..5........6...63.5..447..6...3..483..7...7.5..3..3....9.8 initial

Autosolve

position: .....3..1.....23....3.4..5.3......6...63.5..447..6...3..483..7...7.5..3..3....9.8 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: 0:00:28.865670

The following important HDP chains were detected:

* DIS # I7: 2,6 # H1: 4,8 => CTR => H1: 2
* DIS # I7: 2,6 + H1: 2 # G1: 6 => CTR => G1: 4,8
* DIS # I7: 2,6 + H1: 2 + G1: 4,8 # A2: 7,9 => CTR => A2: 1,6,8
* DIS # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 # E2: 1,8 => CTR => E2: 7,9
* DIS # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 + E2: 7,9 # A3: 7,9 => CTR => A3: 2,8
* PRF # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 + E2: 7,9 + A3: 2,8 => SOL
* STA I7: 2,6
* CNT   6 HDP CHAINS /  32 HYP OPENED

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

Details

Positions

........1.....2.....3.4..5........6...63.5..447..6...3..483..7...7.5..3..3....9.8 initial
.....3..1.....23....3.4..5.3......6...63.5..447..6...3..483..7...7.5..3..3....9.8 autosolve
759683421641592387823147659398421765216375894475968213164839572987254136532716948 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
I8: 2,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B1,B2: 4.. / B1 = 4  =>  2 pairs (_) / B2 = 4  =>  2 pairs (_)
D4,F4: 4.. / D4 = 4  =>  1 pairs (_) / F4 = 4  =>  1 pairs (_)
G8,H9: 4.. / G8 = 4  =>  2 pairs (_) / H9 = 4  =>  2 pairs (_)
B2,H2: 4.. / B2 = 4  =>  2 pairs (_) / H2 = 4  =>  2 pairs (_)
G1,G8: 4.. / G1 = 4  =>  2 pairs (_) / G8 = 4  =>  2 pairs (_)
D1,D2: 5.. / D1 = 5  =>  1 pairs (_) / D2 = 5  =>  1 pairs (_)
A9,C9: 5.. / A9 = 5  =>  3 pairs (_) / C9 = 5  =>  1 pairs (_)
G7,I7: 5.. / G7 = 5  => 11 pairs (_) / I7 = 5  =>  1 pairs (_)
C6,G6: 5.. / C6 = 5  =>  5 pairs (_) / G6 = 5  =>  1 pairs (_)
I4,I7: 5.. / I4 = 5  => 11 pairs (_) / I7 = 5  =>  1 pairs (_)
E5,G5: 7.. / E5 = 7  =>  3 pairs (_) / G5 = 7  =>  1 pairs (_)
A8,B8: 8.. / A8 = 8  =>  1 pairs (_) / B8 = 8  =>  1 pairs (_)
* DURATION: 0:00:09.357186  START: 22:34:45.780610  END: 22:34:55.137796 2020-10-28
* CP COUNT: (12)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:28.697097  START: 22:35:03.282439  END: 22:35:31.979536 2020-10-28
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00384380-12_12_03-base-pr-002.dot
* REASONING
* DIS # I7: 2,6 # H1: 4,8 => CTR => H1: 2
* DIS # I7: 2,6 + H1: 2 # G1: 6 => CTR => G1: 4,8
* DIS # I7: 2,6 + H1: 2 + G1: 4,8 # A2: 7,9 => CTR => A2: 1,6,8
* DIS # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 # E2: 1,8 => CTR => E2: 7,9
* DIS # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 + E2: 7,9 # A3: 7,9 => CTR => A3: 2,8
* PRF # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 + E2: 7,9 + A3: 2,8 => SOL
* STA I7: 2,6
* CNT   6 HDP CHAINS /  32 HYP OPENED

Header Info

384380;12_12_03;dob;24;11.40;1.20;1.20

Solution

position: 759683421641592387823147659398421765216375894475968213164839572987254136532716948 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 # G7: 2,6 => UNS
* INC # I7: 2,6 => UNS
* INC # G8: 2,6 => UNS
* INC # A8: 2,6 => UNS
* INC # B8: 2,6 => UNS
* INC # D8: 2,6 => UNS
* INC # I3: 2,6 => UNS
* INC # I3: 7,9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # G7: 2,6 => UNS
* INC # I7: 2,6 => UNS
* INC # G8: 2,6 => UNS
* INC # A8: 2,6 => UNS
* INC # B8: 2,6 => UNS
* INC # D8: 2,6 => UNS
* INC # I3: 2,6 => UNS
* INC # I3: 7,9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # G7: 2,6 => UNS
* INC # I7: 2,6 => UNS
* INC # G8: 2,6 => UNS
* INC # A8: 2,6 => UNS
* INC # B8: 2,6 => UNS
* INC # D8: 2,6 => UNS
* INC # I3: 2,6 => UNS
* INC # I3: 7,9 => UNS
* INC # G7: 2,6 # A7: 2,6 => UNS
* INC # G7: 2,6 # B7: 2,6 => UNS
* INC # G7: 2,6 # G1: 2,6 => UNS
* INC # G7: 2,6 # G3: 2,6 => UNS
* INC # G7: 2,6 # D8: 1,4 => UNS
* INC # G7: 2,6 # F8: 1,4 => UNS
* INC # G7: 2,6 # A8: 2,6 => UNS
* INC # G7: 2,6 # B8: 2,6 => UNS
* INC # G7: 2,6 # D8: 2,6 => UNS
* INC # G7: 2,6 # I3: 2,6 => UNS
* INC # G7: 2,6 # I3: 7,9 => UNS
* INC # G7: 2,6 # D9: 1,4 => UNS
* INC # G7: 2,6 # F9: 1,4 => UNS
* INC # G7: 2,6 => UNS
* INC # I7: 2,6 # G1: 4,8 => UNS
* DIS # I7: 2,6 # H1: 4,8 => CTR => H1: 2
* INC # I7: 2,6 + H1: 2 # G1: 4,8 => UNS
* DIS # I7: 2,6 + H1: 2 # G1: 6 => CTR => G1: 4,8
* DIS # I7: 2,6 + H1: 2 + G1: 4,8 # A2: 7,9 => CTR => A2: 1,6,8
* INC # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 # E2: 7,9 => UNS
* INC # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 # E2: 7,9 => UNS
* DIS # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 # E2: 1,8 => CTR => E2: 7,9
* DIS # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 + E2: 7,9 # A3: 7,9 => CTR => A3: 2,8
* PRF # I7: 2,6 + H1: 2 + G1: 4,8 + A2: 1,6,8 + E2: 7,9 + A3: 2,8 => SOL
* STA I7: 2,6
* CNT  32 HDP CHAINS /  32 HYP OPENED