Analysis of xx-ph-00417488-12_12_03-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: ........1.....2..3..3.4..5...5.6.7....6.3..4..3.8.7.....9..5..43...9....56...3.9. initial

Autosolve

position: ...3....1.....2..3..3.4..5...5.6.73...6.3..4..3.8.7.....9..53.43...9....56...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: 0:00:23.451343

The following important HDP chains were detected:

* DIS # F4: 1,9 # E2: 5,7 => CTR => E2: 1
* DIS # F4: 1,9 + E2: 1 # D2: 9 => CTR => D2: 5,7
* DIS # F4: 1,9 + E2: 1 + D2: 5,7 # A1: 6,8 => CTR => A1: 2,7,9
* DIS # F4: 1,9 + E2: 1 + D2: 5,7 + A1: 2,7,9 # H1: 2,7 => CTR => H1: 6,8
* DIS # F4: 1,9 + E2: 1 + D2: 5,7 + A1: 2,7,9 + H1: 6,8 # A3: 6,8 => CTR => A3: 1,7
* PRF # F4: 1,9 + E2: 1 + D2: 5,7 + A1: 2,7,9 + H1: 6,8 + A3: 1,7 => SOL
* STA F4: 1,9
* CNT   6 HDP CHAINS /  32 HYP OPENED

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

Details

Positions

........1.....2..3..3.4..5...5.6.7....6.3..4..3.8.7.....9..5..43...9....56...3.9. initial
...3....1.....2..3..3.4..5...5.6.73...6.3..4..3.8.7.....9..53.43...9....56...3.9. autosolve
952376481648512973713948256295461738876239145431857629129785364387694512564123897 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
F5: 1,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G1,G2: 4.. / G1 = 4  =>  1 pairs (_) / G2 = 4  =>  1 pairs (_)
A6,C6: 4.. / A6 = 4  =>  3 pairs (_) / C6 = 4  =>  1 pairs (_)
D4,F4: 4.. / D4 = 4  => 11 pairs (_) / F4 = 4  =>  1 pairs (_)
C9,D9: 4.. / C9 = 4  =>  5 pairs (_) / D9 = 4  =>  1 pairs (_)
F4,F8: 4.. / F4 = 4  =>  1 pairs (_) / F8 = 4  => 11 pairs (_)
B1,B2: 5.. / B1 = 5  =>  2 pairs (_) / B2 = 5  =>  2 pairs (_)
D5,E6: 5.. / D5 = 5  =>  2 pairs (_) / E6 = 5  =>  2 pairs (_)
G8,I8: 5.. / G8 = 5  =>  1 pairs (_) / I8 = 5  =>  1 pairs (_)
B1,E1: 5.. / B1 = 5  =>  2 pairs (_) / E1 = 5  =>  2 pairs (_)
D2,D5: 5.. / D2 = 5  =>  2 pairs (_) / D5 = 5  =>  2 pairs (_)
D7,H7: 6.. / D7 = 6  =>  1 pairs (_) / H7 = 6  =>  3 pairs (_)
A5,B5: 7.. / A5 = 7  =>  1 pairs (_) / B5 = 7  =>  1 pairs (_)
* DURATION: 0:00:07.764200  START: 07:35:29.384710  END: 07:35:37.148910 2020-10-29
* CP COUNT: (12)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:23.294431  START: 07:35:44.206904  END: 07:36:07.501335 2020-10-29
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00417488-12_12_03-base-pr-002.dot
* REASONING
* DIS # F4: 1,9 # E2: 5,7 => CTR => E2: 1
* DIS # F4: 1,9 + E2: 1 # D2: 9 => CTR => D2: 5,7
* DIS # F4: 1,9 + E2: 1 + D2: 5,7 # A1: 6,8 => CTR => A1: 2,7,9
* DIS # F4: 1,9 + E2: 1 + D2: 5,7 + A1: 2,7,9 # H1: 2,7 => CTR => H1: 6,8
* DIS # F4: 1,9 + E2: 1 + D2: 5,7 + A1: 2,7,9 + H1: 6,8 # A3: 6,8 => CTR => A3: 1,7
* PRF # F4: 1,9 + E2: 1 + D2: 5,7 + A1: 2,7,9 + H1: 6,8 + A3: 1,7 => SOL
* STA F4: 1,9
* CNT   6 HDP CHAINS /  32 HYP OPENED

Header Info

417488;12_12_03;dob;24;11.40;1.20;1.20

Solution

position: 952376481648512973713948256295461738876239145431857629129785364387694512564123897 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 # D4: 1,9 => UNS
* INC # F4: 1,9 => UNS
* INC # D5: 1,9 => UNS
* INC # A5: 1,9 => UNS
* INC # B5: 1,9 => UNS
* INC # G5: 1,9 => UNS
* INC # F3: 1,9 => UNS
* INC # F3: 6,8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # D4: 1,9 => UNS
* INC # F4: 1,9 => UNS
* INC # D5: 1,9 => UNS
* INC # A5: 1,9 => UNS
* INC # B5: 1,9 => UNS
* INC # G5: 1,9 => UNS
* INC # F3: 1,9 => UNS
* INC # F3: 6,8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # D4: 1,9 => UNS
* INC # F4: 1,9 => UNS
* INC # D5: 1,9 => UNS
* INC # A5: 1,9 => UNS
* INC # B5: 1,9 => UNS
* INC # G5: 1,9 => UNS
* INC # F3: 1,9 => UNS
* INC # F3: 6,8 => UNS
* INC # D4: 1,9 # A4: 1,9 => UNS
* INC # D4: 1,9 # B4: 1,9 => UNS
* INC # D4: 1,9 # D2: 1,9 => UNS
* INC # D4: 1,9 # D3: 1,9 => UNS
* INC # D4: 1,9 # G5: 2,5 => UNS
* INC # D4: 1,9 # I5: 2,5 => UNS
* INC # D4: 1,9 # A5: 1,9 => UNS
* INC # D4: 1,9 # B5: 1,9 => UNS
* INC # D4: 1,9 # G5: 1,9 => UNS
* INC # D4: 1,9 # F3: 1,9 => UNS
* INC # D4: 1,9 # F3: 6,8 => UNS
* INC # D4: 1,9 # G6: 2,5 => UNS
* INC # D4: 1,9 # I6: 2,5 => UNS
* INC # D4: 1,9 => UNS
* INC # F4: 1,9 # D2: 5,7 => UNS
* DIS # F4: 1,9 # E2: 5,7 => CTR => E2: 1
* INC # F4: 1,9 + E2: 1 # D2: 5,7 => UNS
* DIS # F4: 1,9 + E2: 1 # D2: 9 => CTR => D2: 5,7
* DIS # F4: 1,9 + E2: 1 + D2: 5,7 # A1: 6,8 => CTR => A1: 2,7,9
* INC # F4: 1,9 + E2: 1 + D2: 5,7 + A1: 2,7,9 # H1: 6,8 => UNS
* INC # F4: 1,9 + E2: 1 + D2: 5,7 + A1: 2,7,9 # H1: 6,8 => UNS
* DIS # F4: 1,9 + E2: 1 + D2: 5,7 + A1: 2,7,9 # H1: 2,7 => CTR => H1: 6,8
* DIS # F4: 1,9 + E2: 1 + D2: 5,7 + A1: 2,7,9 + H1: 6,8 # A3: 6,8 => CTR => A3: 1,7
* PRF # F4: 1,9 + E2: 1 + D2: 5,7 + A1: 2,7,9 + H1: 6,8 + A3: 1,7 => SOL
* STA F4: 1,9
* CNT  32 HDP CHAINS /  32 HYP OPENED