Analysis of xx-ph-00417331-12_12_03-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: ........1.....2.3...3.4.5....463.7....7.5.....3.....86..9..5..43.....9..74..9...3 initial

Autosolve

position: .....3..1.....2.3...3.4.5....463.7....7.5.3...3.....86..93.5..43.....9..74..9...3 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: 0:00:22.813430

The following important HDP chains were detected:

* DIS # I4: 2,9 # G1: 4,6 => CTR => G1: 2
* DIS # I4: 2,9 + G1: 2 # H1: 9 => CTR => H1: 4,6
* DIS # I4: 2,9 + G1: 2 + H1: 4,6 # A2: 1,8,9 => CTR => A2: 4,6
* DIS # I4: 2,9 + G1: 2 + H1: 4,6 + A2: 4,6 # E2: 1 => CTR => E2: 7,8
* DIS # I4: 2,9 + G1: 2 + H1: 4,6 + A2: 4,6 + E2: 7,8 # B3: 7,8 => CTR => B3: 2,6
* PRF # I4: 2,9 + G1: 2 + H1: 4,6 + A2: 4,6 + E2: 7,8 + B3: 2,6 => SOL
* STA I4: 2,9
* 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....463.7....7.5.....3.....86..9..5..43.....9..74..9...3 initial
.....3..1.....2.3...3.4.5....463.7....7.5.3...3.....86..93.5..43.....9..74..9...3 autosolve
978563241451982637623147598194638752867254319532719486219375864386421975745896123 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
I5: 2,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A1,A2: 4.. / A1 = 4  =>  2 pairs (_) / A2 = 4  =>  2 pairs (_)
H5,G6: 4.. / H5 = 4  =>  2 pairs (_) / G6 = 4  =>  2 pairs (_)
D8,F8: 4.. / D8 = 4  =>  1 pairs (_) / F8 = 4  =>  1 pairs (_)
A2,G2: 4.. / A2 = 4  =>  2 pairs (_) / G2 = 4  =>  2 pairs (_)
H1,H5: 4.. / H1 = 4  =>  2 pairs (_) / H5 = 4  =>  2 pairs (_)
D1,D2: 5.. / D1 = 5  =>  1 pairs (_) / D2 = 5  =>  1 pairs (_)
A6,C6: 5.. / A6 = 5  =>  3 pairs (_) / C6 = 5  =>  3 pairs (_)
H4,I4: 5.. / H4 = 5  =>  9 pairs (_) / I4 = 5  =>  1 pairs (_)
C9,H9: 5.. / C9 = 5  =>  3 pairs (_) / H9 = 5  =>  1 pairs (_)
I4,I8: 5.. / I4 = 5  =>  1 pairs (_) / I8 = 5  =>  9 pairs (_)
A5,B5: 6.. / A5 = 6  =>  1 pairs (_) / B5 = 6  =>  1 pairs (_)
E7,H7: 7.. / E7 = 7  =>  3 pairs (_) / H7 = 7  =>  1 pairs (_)
* DURATION: 0:00:08.013193  START: 06:57:13.846968  END: 06:57:21.860161 2020-10-29
* CP COUNT: (12)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:22.597493  START: 06:57:28.981460  END: 06:57:51.578953 2020-10-29
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00417331-12_12_03-base-pr-002.dot
* REASONING
* DIS # I4: 2,9 # G1: 4,6 => CTR => G1: 2
* DIS # I4: 2,9 + G1: 2 # H1: 9 => CTR => H1: 4,6
* DIS # I4: 2,9 + G1: 2 + H1: 4,6 # A2: 1,8,9 => CTR => A2: 4,6
* DIS # I4: 2,9 + G1: 2 + H1: 4,6 + A2: 4,6 # E2: 1 => CTR => E2: 7,8
* DIS # I4: 2,9 + G1: 2 + H1: 4,6 + A2: 4,6 + E2: 7,8 # B3: 7,8 => CTR => B3: 2,6
* PRF # I4: 2,9 + G1: 2 + H1: 4,6 + A2: 4,6 + E2: 7,8 + B3: 2,6 => SOL
* STA I4: 2,9
* CNT   6 HDP CHAINS /  32 HYP OPENED

Header Info

417331;12_12_03;dob;24;11.40;1.20;1.20

Solution

position: 978563241451982637623147598194638752867254319532719486219375864386421975745896123 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 # H4: 2,9 => UNS
* INC # I4: 2,9 => UNS
* INC # H5: 2,9 => UNS
* INC # A5: 2,9 => UNS
* INC # B5: 2,9 => UNS
* INC # D5: 2,9 => UNS
* INC # I3: 2,9 => UNS
* INC # I3: 7,8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # H4: 2,9 => UNS
* INC # I4: 2,9 => UNS
* INC # H5: 2,9 => UNS
* INC # A5: 2,9 => UNS
* INC # B5: 2,9 => UNS
* INC # D5: 2,9 => UNS
* INC # I3: 2,9 => UNS
* INC # I3: 7,8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # H4: 2,9 => UNS
* INC # I4: 2,9 => UNS
* INC # H5: 2,9 => UNS
* INC # A5: 2,9 => UNS
* INC # B5: 2,9 => UNS
* INC # D5: 2,9 => UNS
* INC # I3: 2,9 => UNS
* INC # I3: 7,8 => UNS
* INC # H4: 2,9 # A4: 2,9 => UNS
* INC # H4: 2,9 # B4: 2,9 => UNS
* INC # H4: 2,9 # H1: 2,9 => UNS
* INC # H4: 2,9 # H3: 2,9 => UNS
* INC # H4: 2,9 # D5: 1,4 => UNS
* INC # H4: 2,9 # F5: 1,4 => UNS
* INC # H4: 2,9 # A5: 2,9 => UNS
* INC # H4: 2,9 # B5: 2,9 => UNS
* INC # H4: 2,9 # D5: 2,9 => UNS
* INC # H4: 2,9 # I3: 2,9 => UNS
* INC # H4: 2,9 # I3: 7,8 => UNS
* INC # H4: 2,9 # D6: 1,4 => UNS
* INC # H4: 2,9 # F6: 1,4 => UNS
* INC # H4: 2,9 => UNS
* DIS # I4: 2,9 # G1: 4,6 => CTR => G1: 2
* INC # I4: 2,9 + G1: 2 # H1: 4,6 => UNS
* INC # I4: 2,9 + G1: 2 # H1: 4,6 => UNS
* DIS # I4: 2,9 + G1: 2 # H1: 9 => CTR => H1: 4,6
* INC # I4: 2,9 + G1: 2 + H1: 4,6 # A2: 4,6 => UNS
* DIS # I4: 2,9 + G1: 2 + H1: 4,6 # A2: 1,8,9 => CTR => A2: 4,6
* INC # I4: 2,9 + G1: 2 + H1: 4,6 + A2: 4,6 # E2: 7,8 => UNS
* DIS # I4: 2,9 + G1: 2 + H1: 4,6 + A2: 4,6 # E2: 1 => CTR => E2: 7,8
* DIS # I4: 2,9 + G1: 2 + H1: 4,6 + A2: 4,6 + E2: 7,8 # B3: 7,8 => CTR => B3: 2,6
* PRF # I4: 2,9 + G1: 2 + H1: 4,6 + A2: 4,6 + E2: 7,8 + B3: 2,6 => SOL
* STA I4: 2,9
* CNT  32 HDP CHAINS /  32 HYP OPENED