Analysis of xx-ph-00328353-12_12_03-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: ........1.....2..3..3.4..5.....6......6..53.457...3.6...5.7.8....7.3..4.3..9.8... initial

Autosolve

position: ...3....1.....2..3..3.4..5..3..6......6..53.457...3.6...5.7.83...7.3..4.3..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: 0:00:23.659729

The following important HDP chains were detected:

* DIS # F7: 1,6 # E2: 5,8 => CTR => E2: 1
* DIS # F7: 1,6 + E2: 1 # D2: 6 => CTR => D2: 5,8
* DIS # F7: 1,6 + E2: 1 + D2: 5,8 # B1: 2,6,9 => CTR => B1: 5,8
* DIS # F7: 1,6 + E2: 1 + D2: 5,8 + B1: 5,8 # H1: 2 => CTR => H1: 7,9
* DIS # F7: 1,6 + E2: 1 + D2: 5,8 + B1: 5,8 + H1: 7,9 # A3: 7,9 => CTR => A3: 1,8
* PRF # F7: 1,6 + E2: 1 + D2: 5,8 + B1: 5,8 + H1: 7,9 + A3: 1,8 => SOL
* STA F7: 1,6
* 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.....6......6..53.457...3.6...5.7.8....7.3..4.3..9.8... initial
...3....1.....2..3..3.4..5..3..6......6..53.457...3.6...5.7.83...7.3..4.3..9.8... autosolve
452387691769512483183649257938764512216895374574123968625471839897236145341958726 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
F8: 1,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G1,G2: 4.. / G1 = 4  =>  1 pairs (_) / G2 = 4  =>  1 pairs (_)
B9,C9: 4.. / B9 = 4  =>  3 pairs (_) / C9 = 4  =>  3 pairs (_)
D7,F7: 4.. / D7 = 4  =>  9 pairs (_) / F7 = 4  =>  1 pairs (_)
C6,D6: 4.. / C6 = 4  =>  3 pairs (_) / D6 = 4  =>  1 pairs (_)
F4,F7: 4.. / F4 = 4  =>  9 pairs (_) / F7 = 4  =>  1 pairs (_)
B1,B2: 5.. / B1 = 5  =>  2 pairs (_) / B2 = 5  =>  2 pairs (_)
G4,I4: 5.. / G4 = 5  =>  1 pairs (_) / I4 = 5  =>  1 pairs (_)
D8,E9: 5.. / D8 = 5  =>  2 pairs (_) / E9 = 5  =>  2 pairs (_)
B1,E1: 5.. / B1 = 5  =>  2 pairs (_) / E1 = 5  =>  2 pairs (_)
D2,D8: 5.. / D2 = 5  =>  2 pairs (_) / D8 = 5  =>  2 pairs (_)
D5,H5: 7.. / D5 = 7  =>  1 pairs (_) / H5 = 7  =>  3 pairs (_)
A8,B8: 8.. / A8 = 8  =>  1 pairs (_) / B8 = 8  =>  1 pairs (_)
* DURATION: 0:00:08.090477  START: 16:50:49.870300  END: 16:50:57.960777 2020-10-28
* CP COUNT: (12)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:23.489572  START: 16:51:05.375572  END: 16:51:28.865144 2020-10-28
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00328353-12_12_03-base-pr-002.dot
* REASONING
* DIS # F7: 1,6 # E2: 5,8 => CTR => E2: 1
* DIS # F7: 1,6 + E2: 1 # D2: 6 => CTR => D2: 5,8
* DIS # F7: 1,6 + E2: 1 + D2: 5,8 # B1: 2,6,9 => CTR => B1: 5,8
* DIS # F7: 1,6 + E2: 1 + D2: 5,8 + B1: 5,8 # H1: 2 => CTR => H1: 7,9
* DIS # F7: 1,6 + E2: 1 + D2: 5,8 + B1: 5,8 + H1: 7,9 # A3: 7,9 => CTR => A3: 1,8
* PRF # F7: 1,6 + E2: 1 + D2: 5,8 + B1: 5,8 + H1: 7,9 + A3: 1,8 => SOL
* STA F7: 1,6
* CNT   6 HDP CHAINS /  32 HYP OPENED

Header Info

328353;12_12_03;dob;24;11.40;1.20;1.20

Solution

position: 452387691769512483183649257938764512216895374574123968625471839897236145341958726 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 # D7: 1,6 => UNS
* INC # F7: 1,6 => UNS
* INC # D8: 1,6 => UNS
* INC # A8: 1,6 => UNS
* INC # B8: 1,6 => UNS
* INC # G8: 1,6 => UNS
* INC # F3: 1,6 => UNS
* INC # F3: 7,9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # D7: 1,6 => UNS
* INC # F7: 1,6 => UNS
* INC # D8: 1,6 => UNS
* INC # A8: 1,6 => UNS
* INC # B8: 1,6 => UNS
* INC # G8: 1,6 => UNS
* INC # F3: 1,6 => UNS
* INC # F3: 7,9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # D7: 1,6 => UNS
* INC # F7: 1,6 => UNS
* INC # D8: 1,6 => UNS
* INC # A8: 1,6 => UNS
* INC # B8: 1,6 => UNS
* INC # G8: 1,6 => UNS
* INC # F3: 1,6 => UNS
* INC # F3: 7,9 => UNS
* INC # D7: 1,6 # A7: 1,6 => UNS
* INC # D7: 1,6 # B7: 1,6 => UNS
* INC # D7: 1,6 # D2: 1,6 => UNS
* INC # D7: 1,6 # D3: 1,6 => UNS
* INC # D7: 1,6 # G8: 2,5 => UNS
* INC # D7: 1,6 # I8: 2,5 => UNS
* INC # D7: 1,6 # A8: 1,6 => UNS
* INC # D7: 1,6 # B8: 1,6 => UNS
* INC # D7: 1,6 # G8: 1,6 => UNS
* INC # D7: 1,6 # F3: 1,6 => UNS
* INC # D7: 1,6 # F3: 7,9 => UNS
* INC # D7: 1,6 # G9: 2,5 => UNS
* INC # D7: 1,6 # I9: 2,5 => UNS
* INC # D7: 1,6 => UNS
* INC # F7: 1,6 # D2: 5,8 => UNS
* DIS # F7: 1,6 # E2: 5,8 => CTR => E2: 1
* INC # F7: 1,6 + E2: 1 # D2: 5,8 => UNS
* DIS # F7: 1,6 + E2: 1 # D2: 6 => CTR => D2: 5,8
* INC # F7: 1,6 + E2: 1 + D2: 5,8 # B1: 5,8 => UNS
* DIS # F7: 1,6 + E2: 1 + D2: 5,8 # B1: 2,6,9 => CTR => B1: 5,8
* INC # F7: 1,6 + E2: 1 + D2: 5,8 + B1: 5,8 # H1: 7,9 => UNS
* DIS # F7: 1,6 + E2: 1 + D2: 5,8 + B1: 5,8 # H1: 2 => CTR => H1: 7,9
* DIS # F7: 1,6 + E2: 1 + D2: 5,8 + B1: 5,8 + H1: 7,9 # A3: 7,9 => CTR => A3: 1,8
* PRF # F7: 1,6 + E2: 1 + D2: 5,8 + B1: 5,8 + H1: 7,9 + A3: 1,8 => SOL
* STA F7: 1,6
* CNT  32 HDP CHAINS /  32 HYP OPENED