Analysis of xx-ph-00024072-KC40b-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7.....6.....7....7.5..8..6..4..3..3...2..1..93..5....68..9......3..2......1..4 initial

Autosolve

position: 98.7.....6.....7....7.5..8..6..4..3..3...2..1..93..5....68..9......3..2......1..4 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: 0:00:13.065963

The following important HDP chains were detected:

* PRF # I4: 2,8 # D8: 5,6 => SOL
* STA # I4: 2,8 + D8: 5,6
* CNT   1 HDP CHAINS /  17 HYP OPENED

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

Details

Positions

98.7.....6.....7....7.5..8..6..4..3..3...2..1..93..5....68..9......3..2......1..4 initial
98.7.....6.....7....7.5..8..6..4..3..3...2..1..93..5....68..9......3..2......1..4 autosolve
981726345652483719347159682165947238738562491429318576216874953894635127573291864 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
G4: 2,8
E7: 2,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E6: 1.. / D4 = 1  =>  2 pairs (_) / E6 = 1  =>  4 pairs (_)
H7,G8: 1.. / H7 = 1  =>  3 pairs (_) / G8 = 1  =>  3 pairs (_)
I7,G9: 3.. / I7 = 3  =>  3 pairs (_) / G9 = 3  =>  3 pairs (_)
A7,I7: 3.. / A7 = 3  =>  3 pairs (_) / I7 = 3  =>  3 pairs (_)
E2,F2: 8.. / E2 = 8  =>  2 pairs (_) / F2 = 8  =>  3 pairs (_)
I4,H5: 9.. / I4 = 9  =>  3 pairs (_) / H5 = 9  =>  3 pairs (_)
B8,B9: 9.. / B8 = 9  =>  2 pairs (_) / B9 = 9  =>  2 pairs (_)
H2,H5: 9.. / H2 = 9  =>  3 pairs (_) / H5 = 9  =>  3 pairs (_)
* DURATION: 0:00:04.517287  START: 05:01:50.261533  END: 05:01:54.778820 2020-12-08
* CP COUNT: (8)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:12.936241  START: 05:02:00.595522  END: 05:02:13.531763 2020-12-08
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00024072-KC40b-base-pr-002.dot
* REASONING
* PRF # I4: 2,8 # D8: 5,6 => SOL
* STA # I4: 2,8 + D8: 5,6
* CNT   1 HDP CHAINS /  17 HYP OPENED

Header Info

24072;KC40b;GP;24;11.30;11.30;10.50

Solution

position: 981726345652483719347159682165947238738562491429318576216874953894635127573291864 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 # I4: 2,8 => UNS
* INC # I6: 2,8 => UNS
* INC # A4: 2,8 => UNS
* INC # C4: 2,8 => UNS
* INC # E9: 2,7 => UNS
* INC # E9: 6,9 => UNS
* INC # A7: 2,7 => UNS
* INC # B7: 2,7 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # I4: 2,8 => UNS
* INC # I6: 2,8 => UNS
* INC # A4: 2,8 => UNS
* INC # C4: 2,8 => UNS
* INC # E9: 2,7 => UNS
* INC # E9: 6,9 => UNS
* INC # A7: 2,7 => UNS
* INC # B7: 2,7 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # I4: 2,8 => UNS
* INC # I6: 2,8 => UNS
* INC # A4: 2,8 => UNS
* INC # C4: 2,8 => UNS
* INC # E9: 2,7 => UNS
* INC # E9: 6,9 => UNS
* INC # A7: 2,7 => UNS
* INC # B7: 2,7 => UNS
* INC # I4: 2,8 # A4: 1,5 => UNS
* INC # I4: 2,8 # A4: 7 => UNS
* INC # I4: 2,8 # D4: 1,5 => UNS
* INC # I4: 2,8 # D4: 9 => UNS
* INC # I4: 2,8 # C1: 1,5 => UNS
* INC # I4: 2,8 # C2: 1,5 => UNS
* INC # I4: 2,8 # C8: 1,5 => UNS
* PRF # I4: 2,8 # D8: 5,6 => SOL
* STA # I4: 2,8 + D8: 5,6
* CNT  16 HDP CHAINS /  17 HYP OPENED