Analysis of xx-ph-00038561-12_07-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7.....6...9.8....5..4.3..9.6..2......8.........3..1.7..2.6....1....4.........5 initial

Autosolve

position: 98.7.....6...9.8....58.4.3..9.6..2......8.........3..1.7..2.6....1....4.........5 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: 0:00:29.845449

The following important HDP chains were detected:

* DIS # B2: 1,2 # D2: 1,2 => CTR => D2: 3,5
* DIS # B2: 1,2 + D2: 3,5 # H2: 1,2 => CTR => H2: 5,7
* DIS # B2: 1,2 + D2: 3,5 + H2: 5,7 # I4: 7,8 => CTR => I4: 3,4
* PRF # B2: 1,2 + D2: 3,5 + H2: 5,7 + I4: 3,4 # H4: 5 => SOL
* STA # B2: 1,2 + D2: 3,5 + H2: 5,7 + I4: 3,4 + H4: 5
* CNT   4 HDP CHAINS /  28 HYP OPENED

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

Details

Positions

98.7.....6...9.8....5..4.3..9.6..2......8.........3..1.7..2.6....1....4.........5 initial
98.7.....6...9.8....58.4.3..9.6..2......8.........3..1.7..2.6....1....4.........5 autosolve
984731526613592874725864139198647253532189467467253981379425618851976342246318795 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
B3: 1,2
E3: 1,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I8,H9: 2.. / I8 = 2  =>  5 pairs (_) / H9 = 2  =>  2 pairs (_)
E1,D2: 3.. / E1 = 3  =>  3 pairs (_) / D2 = 3  =>  4 pairs (_)
C1,E1: 3.. / C1 = 3  =>  4 pairs (_) / E1 = 3  =>  3 pairs (_)
E3,I3: 6.. / E3 = 6  =>  1 pairs (_) / I3 = 6  =>  7 pairs (_)
C2,A3: 7.. / C2 = 7  =>  7 pairs (_) / A3 = 7  =>  3 pairs (_)
G3,I3: 9.. / G3 = 9  =>  3 pairs (_) / I3 = 9  =>  4 pairs (_)
C7,C9: 9.. / C7 = 9  =>  4 pairs (_) / C9 = 9  =>  2 pairs (_)
* DURATION: 0:00:04.319761  START: 12:36:58.024804  END: 12:37:02.344565 2020-12-17
* CP COUNT: (7)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:29.676421  START: 12:37:08.686989  END: 12:37:38.363410 2020-12-17
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00038561-12_07-base-pr-002.dot
* REASONING
* DIS # B2: 1,2 # D2: 1,2 => CTR => D2: 3,5
* DIS # B2: 1,2 + D2: 3,5 # H2: 1,2 => CTR => H2: 5,7
* DIS # B2: 1,2 + D2: 3,5 + H2: 5,7 # I4: 7,8 => CTR => I4: 3,4
* PRF # B2: 1,2 + D2: 3,5 + H2: 5,7 + I4: 3,4 # H4: 5 => SOL
* STA # B2: 1,2 + D2: 3,5 + H2: 5,7 + I4: 3,4 + H4: 5
* CNT   4 HDP CHAINS /  28 HYP OPENED

Header Info

38561;12_07;GP;21;11.30;1.20;1.20

Solution

position: 984731526613592874725864139198647253532189467467253981379425618851976342246318795 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 # B2: 1,2 => UNS
* INC # A3: 1,2 => UNS
* INC # B5: 1,2 => UNS
* INC # B5: 3,4,5,6 => UNS
* INC # E1: 1,6 => UNS
* INC # F1: 1,6 => UNS
* INC # E9: 1,6 => UNS
* INC # E9: 3,4,7 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # B2: 1,2 => UNS
* INC # A3: 1,2 => UNS
* INC # B5: 1,2 => UNS
* INC # B5: 3,4,5,6 => UNS
* INC # E1: 1,6 => UNS
* INC # F1: 1,6 => UNS
* INC # E9: 1,6 => UNS
* INC # E9: 3,4,7 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # B2: 1,2 => UNS
* INC # A3: 1,2 => UNS
* INC # B5: 1,2 => UNS
* INC # B5: 3,4,5,6 => UNS
* INC # E1: 1,6 => UNS
* INC # F1: 1,6 => UNS
* INC # E9: 1,6 => UNS
* INC # E9: 3,4,7 => UNS
* DIS # B2: 1,2 # D2: 1,2 => CTR => D2: 3,5
* INC # B2: 1,2 + D2: 3,5 # F2: 1,2 => UNS
* DIS # B2: 1,2 + D2: 3,5 # H2: 1,2 => CTR => H2: 5,7
* INC # B2: 1,2 + D2: 3,5 + H2: 5,7 # F2: 1,2 => UNS
* INC # B2: 1,2 + D2: 3,5 + H2: 5,7 # F2: 5 => UNS
* INC # B2: 1,2 + D2: 3,5 + H2: 5,7 # F2: 1,2 => UNS
* INC # B2: 1,2 + D2: 3,5 + H2: 5,7 # F2: 5 => UNS
* INC # B2: 1,2 + D2: 3,5 + H2: 5,7 # E1: 1,6 => UNS
* INC # B2: 1,2 + D2: 3,5 + H2: 5,7 # F1: 1,6 => UNS
* INC # B2: 1,2 + D2: 3,5 + H2: 5,7 # E9: 1,6 => UNS
* INC # B2: 1,2 + D2: 3,5 + H2: 5,7 # E9: 3,4,7 => UNS
* INC # B2: 1,2 + D2: 3,5 + H2: 5,7 # G9: 1,9 => UNS
* INC # B2: 1,2 + D2: 3,5 + H2: 5,7 # G9: 3,7 => UNS
* INC # B2: 1,2 + D2: 3,5 + H2: 5,7 # C6: 7,8 => UNS
* INC # B2: 1,2 + D2: 3,5 + H2: 5,7 # C6: 2,6 => UNS
* INC # B2: 1,2 + D2: 3,5 + H2: 5,7 # H4: 7,8 => UNS
* DIS # B2: 1,2 + D2: 3,5 + H2: 5,7 # I4: 7,8 => CTR => I4: 3,4
* INC # B2: 1,2 + D2: 3,5 + H2: 5,7 + I4: 3,4 # H4: 7,8 => UNS
* PRF # B2: 1,2 + D2: 3,5 + H2: 5,7 + I4: 3,4 # H4: 5 => SOL
* STA # B2: 1,2 + D2: 3,5 + H2: 5,7 + I4: 3,4 + H4: 5
* CNT  27 HDP CHAINS /  28 HYP OPENED