Analysis of xx-ph-00038228-12_07-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7.......6.5.9.......6.8.5...4.....9...34....46...3.2.......1..9.6.3.....2.1..7 initial

Autosolve

position: 98.7.......6.5.9.......6.8.5...4.....9...34....46...3.2.......1..9.6.3.....2.1..7 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: 0:00:31.867525

The following important HDP chains were detected:

* DIS # F2: 2,4 # H2: 2,4 => CTR => H2: 1,7
* DIS # F2: 2,4 + H2: 1,7 # E6: 1,9 => CTR => E6: 2,7,8
* PRF # F2: 2,4 + H2: 1,7 + E6: 2,7,8 # B8: 4,5 => SOL
* STA # F2: 2,4 + H2: 1,7 + E6: 2,7,8 + B8: 4,5
* CNT   3 HDP CHAINS /  24 HYP OPENED

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

Details

Positions

98.7.......6.5.9.......6.8.5...4.....9...34....46...3.2.......1..9.6.3.....2.1..7 initial
98.7.......6.5.9.......6.8.5...4.....9...34....46...3.2.......1..9.6.3.....2.1..7 autosolve
985714263376852914421396785563948172892173456714625839237589641159467328648231597 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
F1: 2,4

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A8,B8: 1.. / A8 = 1  =>  2 pairs (_) / B8 = 1  =>  2 pairs (_)
H8,I8: 2.. / H8 = 2  =>  1 pairs (_) / I8 = 2  =>  3 pairs (_)
B4,C4: 3.. / B4 = 3  =>  1 pairs (_) / C4 = 3  =>  2 pairs (_)
D5,F6: 5.. / D5 = 5  =>  2 pairs (_) / F6 = 5  =>  2 pairs (_)
B4,A5: 6.. / B4 = 6  =>  6 pairs (_) / A5 = 6  =>  1 pairs (_)
A5,A9: 6.. / A5 = 6  =>  1 pairs (_) / A9 = 6  =>  6 pairs (_)
H2,G3: 7.. / H2 = 7  =>  1 pairs (_) / G3 = 7  =>  1 pairs (_)
D2,F2: 8.. / D2 = 8  =>  6 pairs (_) / F2 = 8  =>  1 pairs (_)
D3,E3: 9.. / D3 = 9  =>  2 pairs (_) / E3 = 9  =>  2 pairs (_)
I4,I6: 9.. / I4 = 9  =>  2 pairs (_) / I6 = 9  =>  1 pairs (_)
H7,H9: 9.. / H7 = 9  =>  2 pairs (_) / H9 = 9  =>  2 pairs (_)
E9,H9: 9.. / E9 = 9  =>  2 pairs (_) / H9 = 9  =>  2 pairs (_)
* DURATION: 0:00:10.364057  START: 04:51:32.785442  END: 04:51:43.149499 2020-12-17
* CP COUNT: (12)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:31.614778  START: 04:51:47.103256  END: 04:52:18.718034 2020-12-17
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00038228-12_07-base-pr-002.dot
* REASONING
* DIS # F2: 2,4 # H2: 2,4 => CTR => H2: 1,7
* DIS # F2: 2,4 + H2: 1,7 # E6: 1,9 => CTR => E6: 2,7,8
* PRF # F2: 2,4 + H2: 1,7 + E6: 2,7,8 # B8: 4,5 => SOL
* STA # F2: 2,4 + H2: 1,7 + E6: 2,7,8 + B8: 4,5
* CNT   3 HDP CHAINS /  24 HYP OPENED

Header Info

38228;12_07;GP;24;11.30;11.30;2.60

Solution

position: 985714263376852914421396785563948172892173456714625839237589641159467328648231597 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 # F2: 2,4 => UNS
* INC # F2: 8 => UNS
* INC # H1: 2,4 => UNS
* INC # I1: 2,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # F2: 2,4 => UNS
* INC # F2: 8 => UNS
* INC # H1: 2,4 => UNS
* INC # I1: 2,4 => UNS
* CNT   4 HDP CHAINS /   4 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # F2: 2,4 => UNS
* INC # F2: 8 => UNS
* INC # H1: 2,4 => UNS
* INC # I1: 2,4 => UNS
* INC # F2: 2,4 # D3: 1,3 => UNS
* INC # F2: 2,4 # E3: 1,3 => UNS
* INC # F2: 2,4 # C1: 1,3 => UNS
* INC # F2: 2,4 # C1: 2,5 => UNS
* INC # F2: 2,4 # H1: 2,4 => UNS
* INC # F2: 2,4 # I1: 2,4 => UNS
* INC # F2: 2,4 # B2: 2,4 => UNS
* DIS # F2: 2,4 # H2: 2,4 => CTR => H2: 1,7
* INC # F2: 2,4 + H2: 1,7 # I2: 2,4 => UNS
* INC # F2: 2,4 + H2: 1,7 # B2: 2,4 => UNS
* INC # F2: 2,4 + H2: 1,7 # I2: 2,4 => UNS
* DIS # F2: 2,4 + H2: 1,7 # E6: 1,9 => CTR => E6: 2,7,8
* INC # F2: 2,4 + H2: 1,7 + E6: 2,7,8 # D3: 1,9 => UNS
* INC # F2: 2,4 + H2: 1,7 + E6: 2,7,8 # D3: 3 => UNS
* INC # F2: 2,4 + H2: 1,7 + E6: 2,7,8 # H5: 1,5 => UNS
* INC # F2: 2,4 + H2: 1,7 + E6: 2,7,8 # H5: 2,6,7 => UNS
* INC # F2: 2,4 + H2: 1,7 + E6: 2,7,8 # D7: 4,5 => UNS
* INC # F2: 2,4 + H2: 1,7 + E6: 2,7,8 # D7: 3,9 => UNS
* PRF # F2: 2,4 + H2: 1,7 + E6: 2,7,8 # B8: 4,5 => SOL
* STA # F2: 2,4 + H2: 1,7 + E6: 2,7,8 + B8: 4,5
* CNT  23 HDP CHAINS /  24 HYP OPENED