Analysis of xx-ph-00001119-H271-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7..6......95.......48...7......3..5..8.4....2.....11......7..6...95....3.....2 initial

Autosolve

position: 98.7..6......95.......48...7......3..5..8.4....2.....11......7..6...95....3.....2 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: 0:00:30.823213

The following important HDP chains were detected:

* DIS # A6: 3,6 # A8: 2,4 => CTR => A8: 8
* DIS # A6: 3,6 + A8: 8 # F5: 3,6 => CTR => F5: 1,2,7
* DIS # A6: 3,6 + A8: 8 + F5: 1,2,7 # B4: 4 => CTR => B4: 1,9
* PRF # A6: 3,6 + A8: 8 + F5: 1,2,7 + B4: 1,9 # G3: 2,9 => SOL
* STA # A6: 3,6 + A8: 8 + F5: 1,2,7 + B4: 1,9 + G3: 2,9
* CNT   4 HDP CHAINS /  26 HYP OPENED

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

Details

Positions

98.7..6......95.......48...7......3..5..8.4....2.....11......7..6...95....3.....2 initial
98.7..6......95.......48...7......3..5..8.4....2.....11......7..6...95....3.....2 autosolve
984712653276395148531648297718426935359187426642953781125864379867239514493571862 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
A5: 3,6

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G4,H5: 2.. / G4 = 2  =>  2 pairs (_) / H5 = 2  =>  2 pairs (_)
B7,A8: 2.. / B7 = 2  =>  2 pairs (_) / A8 = 2  =>  2 pairs (_)
I4,H6: 5.. / I4 = 5  =>  2 pairs (_) / H6 = 5  =>  1 pairs (_)
C7,A9: 5.. / C7 = 5  =>  5 pairs (_) / A9 = 5  =>  1 pairs (_)
A3,A9: 5.. / A3 = 5  =>  5 pairs (_) / A9 = 5  =>  1 pairs (_)
D2,D3: 6.. / D2 = 6  =>  1 pairs (_) / D3 = 6  =>  1 pairs (_)
I7,H9: 6.. / I7 = 6  =>  2 pairs (_) / H9 = 6  =>  2 pairs (_)
I5,G6: 7.. / I5 = 7  =>  2 pairs (_) / G6 = 7  =>  2 pairs (_)
C8,B9: 7.. / C8 = 7  =>  2 pairs (_) / B9 = 7  =>  3 pairs (_)
F5,I5: 7.. / F5 = 7  =>  2 pairs (_) / I5 = 7  =>  2 pairs (_)
C8,E8: 7.. / C8 = 7  =>  2 pairs (_) / E8 = 7  =>  3 pairs (_)
C4,A6: 8.. / C4 = 8  =>  3 pairs (_) / A6 = 8  =>  4 pairs (_)
* DURATION: 0:00:08.836867  START: 09:42:18.776846  END: 09:42:27.613713 2020-11-25
* CP COUNT: (12)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:30.662610  START: 09:42:33.198946  END: 09:43:03.861556 2020-11-25
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00001119-H271-base-pr-002.dot
* REASONING
* DIS # A6: 3,6 # A8: 2,4 => CTR => A8: 8
* DIS # A6: 3,6 + A8: 8 # F5: 3,6 => CTR => F5: 1,2,7
* DIS # A6: 3,6 + A8: 8 + F5: 1,2,7 # B4: 4 => CTR => B4: 1,9
* PRF # A6: 3,6 + A8: 8 + F5: 1,2,7 + B4: 1,9 # G3: 2,9 => SOL
* STA # A6: 3,6 + A8: 8 + F5: 1,2,7 + B4: 1,9 + G3: 2,9
* CNT   4 HDP CHAINS /  26 HYP OPENED

Header Info

1119;H271;GP;22;11.30;11.30;2.60

Solution

position: 984712653276395148531648297718426935359187426642953781125864379867239514493571862 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 # A6: 3,6 => UNS
* INC # A6: 4,8 => UNS
* INC # F5: 3,6 => UNS
* INC # F5: 1,2,7 => UNS
* INC # A2: 3,6 => UNS
* INC # A3: 3,6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # A6: 3,6 => UNS
* INC # A6: 4,8 => UNS
* INC # F5: 3,6 => UNS
* INC # F5: 1,2,7 => UNS
* INC # A2: 3,6 => UNS
* INC # A3: 3,6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # A6: 3,6 => UNS
* INC # A6: 4,8 => UNS
* INC # F5: 3,6 => UNS
* INC # F5: 1,2,7 => UNS
* INC # A2: 3,6 => UNS
* INC # A3: 3,6 => UNS
* INC # A6: 3,6 # H2: 2,4 => UNS
* INC # A6: 3,6 # H2: 1,8 => UNS
* DIS # A6: 3,6 # A8: 2,4 => CTR => A8: 8
* INC # A6: 3,6 + A8: 8 # H2: 2,4 => UNS
* INC # A6: 3,6 + A8: 8 # H2: 1,8 => UNS
* INC # A6: 3,6 + A8: 8 # H3: 2,5 => UNS
* INC # A6: 3,6 + A8: 8 # H3: 1,9 => UNS
* DIS # A6: 3,6 + A8: 8 # F5: 3,6 => CTR => F5: 1,2,7
* INC # A6: 3,6 + A8: 8 + F5: 1,2,7 # B4: 1,9 => UNS
* DIS # A6: 3,6 + A8: 8 + F5: 1,2,7 # B4: 4 => CTR => B4: 1,9
* INC # A6: 3,6 + A8: 8 + F5: 1,2,7 + B4: 1,9 # D5: 1,9 => UNS
* INC # A6: 3,6 + A8: 8 + F5: 1,2,7 + B4: 1,9 # D5: 2,3 => UNS
* INC # A6: 3,6 + A8: 8 + F5: 1,2,7 + B4: 1,9 # E6: 3,6 => UNS
* INC # A6: 3,6 + A8: 8 + F5: 1,2,7 + B4: 1,9 # F6: 3,6 => UNS
* INC # A6: 3,6 + A8: 8 + F5: 1,2,7 + B4: 1,9 # H5: 2,9 => UNS
* INC # A6: 3,6 + A8: 8 + F5: 1,2,7 + B4: 1,9 # H5: 6 => UNS
* INC # A6: 3,6 + A8: 8 + F5: 1,2,7 + B4: 1,9 # D4: 2,9 => UNS
* INC # A6: 3,6 + A8: 8 + F5: 1,2,7 + B4: 1,9 # D4: 1,4,5 => UNS
* PRF # A6: 3,6 + A8: 8 + F5: 1,2,7 + B4: 1,9 # G3: 2,9 => SOL
* STA # A6: 3,6 + A8: 8 + F5: 1,2,7 + B4: 1,9 + G3: 2,9
* CNT  25 HDP CHAINS /  26 HYP OPENED