Analysis of xx-ph-00009997-22ky5-base.sdk

Contents

Original Sudoku

level: hard

Original Sudoku

position: 98.7.....6.....9....5.9..7..4......3..65..7......2..1...89..6......3..2......1..4 initial

Autosolve

position: 98.7.....6.....9....5.9..7..4......3..65..7......2..1...89..6......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: 0:00:19.995207

The following important HDP chains were detected:

* PRF # H9: 3,5 # A4: 1,7,8 => SOL
* STA # H9: 3,5 + A4: 1,7,8
* CNT   1 HDP CHAINS /  37 HYP OPENED

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

Details

Positions

98.7.....6.....9....5.9..7..4......3..65..7......2..1...89..6......3..2......1..4 initial
98.7.....6.....9....5.9..7..4......3..65..7......2..1...89..6......3..2......1..4 autosolve
981753246673412985425698371842179563136584792759326418218945637564837129397261854 solved

Classification

level: hard

Pairing Analysis

--------------------------------------------------
* PAIRS (1)
H7: 3,5

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G4,I5: 2.. / G4 = 2  =>  2 pairs (_) / I5 = 2  =>  2 pairs (_)
F7,D9: 2.. / F7 = 2  =>  2 pairs (_) / D9 = 2  =>  1 pairs (_)
H5,G6: 4.. / H5 = 4  =>  3 pairs (_) / G6 = 4  =>  2 pairs (_)
H4,I6: 6.. / H4 = 6  =>  2 pairs (_) / I6 = 6  =>  1 pairs (_)
B8,B9: 6.. / B8 = 6  =>  2 pairs (_) / B9 = 6  =>  2 pairs (_)
H1,H4: 6.. / H1 = 6  =>  1 pairs (_) / H4 = 6  =>  2 pairs (_)
B2,C2: 7.. / B2 = 7  =>  1 pairs (_) / C2 = 7  =>  2 pairs (_)
I7,I8: 7.. / I7 = 7  =>  2 pairs (_) / I8 = 7  =>  5 pairs (_)
I8,H9: 9.. / I8 = 9  =>  5 pairs (_) / H9 = 9  =>  2 pairs (_)
* DURATION: 0:00:04.891530  START: 11:12:59.311875  END: 11:13:04.203405 2020-12-01
* CP COUNT: (9)
* INCONCLUSIVE

* DEEP PAIR REDUCTION
* DURATION: 0:00:19.745325  START: 11:13:08.559285  END: 11:13:28.304610 2020-12-01
* SOLUTION FOUND
* SAVE PR GRAPH xx-ph-00009997-22ky5-base-pr-002.dot
* REASONING
* PRF # H9: 3,5 # A4: 1,7,8 => SOL
* STA # H9: 3,5 + A4: 1,7,8
* CNT   1 HDP CHAINS /  37 HYP OPENED

Header Info

9997;22ky5;GP;22;11.30;11.30;9.90

Solution

position: 981753246673412985425698371842179563136584792759326418218945637564837129397261854 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 # G9: 3,5 => UNS
* INC # H9: 3,5 => UNS
* INC # A7: 3,5 => UNS
* INC # B7: 3,5 => UNS
* INC # H1: 3,5 => UNS
* INC # H2: 3,5 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Pair Reduction

Full list of HDP chains traversed:

* INC # G9: 3,5 => UNS
* INC # H9: 3,5 => UNS
* INC # A7: 3,5 => UNS
* INC # B7: 3,5 => UNS
* INC # H1: 3,5 => UNS
* INC # H2: 3,5 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A3. Deep Pair Reduction

Full list of HDP chains traversed:

* INC # G9: 3,5 => UNS
* INC # H9: 3,5 => UNS
* INC # A7: 3,5 => UNS
* INC # B7: 3,5 => UNS
* INC # H1: 3,5 => UNS
* INC # H2: 3,5 => UNS
* INC # G9: 3,5 # A7: 3,5 => UNS
* INC # G9: 3,5 # B7: 3,5 => UNS
* INC # G9: 3,5 # H1: 3,5 => UNS
* INC # G9: 3,5 # H2: 3,5 => UNS
* INC # G9: 3,5 # I8: 1,7 => UNS
* INC # G9: 3,5 # I8: 8,9 => UNS
* INC # G9: 3,5 # A7: 1,7 => UNS
* INC # G9: 3,5 # B7: 1,7 => UNS
* INC # G9: 3,5 # I8: 1,8 => UNS
* INC # G9: 3,5 # I8: 7,9 => UNS
* INC # G9: 3,5 # G3: 1,8 => UNS
* INC # G9: 3,5 # G3: 2,3,4 => UNS
* INC # G9: 3,5 # A9: 3,5 => UNS
* INC # G9: 3,5 # B9: 3,5 => UNS
* INC # G9: 3,5 # G1: 3,5 => UNS
* INC # G9: 3,5 # G1: 1,2,4 => UNS
* INC # G9: 3,5 # I8: 8,9 => UNS
* INC # G9: 3,5 # I8: 1,7 => UNS
* INC # G9: 3,5 # H4: 8,9 => UNS
* INC # G9: 3,5 # H5: 8,9 => UNS
* INC # G9: 3,5 => UNS
* INC # H9: 3,5 # E1: 4,6 => UNS
* INC # H9: 3,5 # F1: 4,6 => UNS
* INC # H9: 3,5 # D2: 4,8 => UNS
* INC # H9: 3,5 # E2: 4,8 => UNS
* INC # H9: 3,5 # F2: 4,8 => UNS
* INC # H9: 3,5 # H5: 4,8 => UNS
* INC # H9: 3,5 # H5: 9 => UNS
* INC # H9: 3,5 # A4: 2,5 => UNS
* PRF # H9: 3,5 # A4: 1,7,8 => SOL
* STA # H9: 3,5 + A4: 1,7,8
* CNT  36 HDP CHAINS /  37 HYP OPENED