Analysis of xx-ph-01269914-13_12-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.76.5..7....5.....58.....6.9...4...4.....3.....4...8..8..97....6..78.....28...1 initial

Autosolve

position: 98.76.5..7....5.8...58.....6.9..84..84.....3.....4...8..8..97....6..78.....28...1 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for D7,F9: 6..:

* DIS # F9: 6 # E5: 1,2 => CTR => E5: 5,7,9
* CNT   1 HDP CHAINS /  39 HYP OPENED

List of important HDP chains detected for B8,B9: 9..:

* DIS # B9: 9 # E5: 1,2 => CTR => E5: 5,7,9
* CNT   1 HDP CHAINS /  39 HYP OPENED

List of important HDP chains detected for B9,C9: 7..:

* DIS # C9: 7 # E5: 1,2 => CTR => E5: 5,7,9
* CNT   1 HDP CHAINS /  34 HYP OPENED

List of important HDP chains detected for E4,E5: 7..:

* DIS # E4: 7 # I5: 2,5 => CTR => I5: 6,7,9
* DIS # E4: 7 + I5: 6,7,9 # H6: 2,5 => CTR => H6: 1,6,7,9
* CNT   2 HDP CHAINS /  28 HYP OPENED

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

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:25.068140

List of important HDP chains detected for D7,F9: 6..:

* DIS # F9: 6 # E5: 1,2 => CTR => E5: 5,7,9
* DIS # F9: 6 + E5: 5,7,9 # E4: 1,2 # E2: 1,3 => CTR => E2: 2,9
* PRF # F9: 6 + E5: 5,7,9 # E4: 1,2 + E2: 2,9 # E3: 1,3 => SOL
* STA # F9: 6 + E5: 5,7,9 # E4: 1,2 + E2: 2,9 + E3: 1,3
* CNT   3 HDP CHAINS /  35 HYP OPENED

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

Details

This sudoku is very deep. Here is some information that may be helpful on how to proceed.

Positions

98.76.5..7....5.....58.....6.9...4...4.....3.....4...8..8..97....6..78.....28...1 initial
98.76.5..7....5.8...58.....6.9..84..84.....3.....4...8..8..97....6..78.....28...1 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B2,B3: 6.. / B2 = 6  =>  0 pairs (_) / B3 = 6  =>  0 pairs (_)
D7,F9: 6.. / D7 = 6  =>  1 pairs (_) / F9 = 6  =>  2 pairs (_)
H3,I3: 7.. / H3 = 7  =>  1 pairs (_) / I3 = 7  =>  1 pairs (_)
E4,E5: 7.. / E4 = 7  =>  1 pairs (_) / E5 = 7  =>  1 pairs (_)
B9,C9: 7.. / B9 = 7  =>  1 pairs (_) / C9 = 7  =>  1 pairs (_)
B8,B9: 9.. / B8 = 9  =>  0 pairs (_) / B9 = 9  =>  2 pairs (_)
* DURATION: 0:00:04.570912  START: 06:08:03.432307  END: 06:08:08.003219 2020-11-01
* CP COUNT: (6)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D7,F9: 6.. / D7 = 6 ==>  1 pairs (_) / F9 = 6 ==>  2 pairs (_)
B8,B9: 9.. / B8 = 9 ==>  0 pairs (_) / B9 = 9 ==>  2 pairs (_)
B9,C9: 7.. / B9 = 7 ==>  1 pairs (_) / C9 = 7 ==>  1 pairs (_)
E4,E5: 7.. / E4 = 7 ==>  2 pairs (_) / E5 = 7 ==>  1 pairs (_)
H3,I3: 7.. / H3 = 7 ==>  1 pairs (_) / I3 = 7 ==>  1 pairs (_)
B2,B3: 6.. / B2 = 6 ==>  0 pairs (_) / B3 = 6 ==>  0 pairs (_)
* DURATION: 0:01:21.010864  START: 06:08:08.004066  END: 06:09:29.014930 2020-11-01
* REASONING D7,F9: 6..
* DIS # F9: 6 # E5: 1,2 => CTR => E5: 5,7,9
* CNT   1 HDP CHAINS /  39 HYP OPENED
* REASONING B8,B9: 9..
* DIS # B9: 9 # E5: 1,2 => CTR => E5: 5,7,9
* CNT   1 HDP CHAINS /  39 HYP OPENED
* REASONING B9,C9: 7..
* DIS # C9: 7 # E5: 1,2 => CTR => E5: 5,7,9
* CNT   1 HDP CHAINS /  34 HYP OPENED
* REASONING E4,E5: 7..
* DIS # E4: 7 # I5: 2,5 => CTR => I5: 6,7,9
* DIS # E4: 7 + I5: 6,7,9 # H6: 2,5 => CTR => H6: 1,6,7,9
* CNT   2 HDP CHAINS /  28 HYP OPENED
* DCP COUNT: (6)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
D7,F9: 6.. / D7 = 6  =>  0 pairs (X) / F9 = 6 ==>  0 pairs (*)
* DURATION: 0:00:25.065304  START: 06:09:29.098675  END: 06:09:54.163979 2020-11-01
* REASONING D7,F9: 6..
* DIS # F9: 6 # E5: 1,2 => CTR => E5: 5,7,9
* DIS # F9: 6 + E5: 5,7,9 # E4: 1,2 # E2: 1,3 => CTR => E2: 2,9
* PRF # F9: 6 + E5: 5,7,9 # E4: 1,2 + E2: 2,9 # E3: 1,3 => SOL
* STA # F9: 6 + E5: 5,7,9 # E4: 1,2 + E2: 2,9 + E3: 1,3
* CNT   3 HDP CHAINS /  35 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1269914;13_12;GP;25;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D7,F9: 6..:

* INC # F9: 6 # E4: 1,2 => UNS
* DIS # F9: 6 # E5: 1,2 => CTR => E5: 5,7,9
* INC # F9: 6 + E5: 5,7,9 # F6: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # C5: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # G5: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F1: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F3: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # E4: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F6: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # C5: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # G5: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F1: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F3: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # I8: 3,9 => UNS
* INC # F9: 6 + E5: 5,7,9 # I8: 2,4,5 => UNS
* INC # F9: 6 + E5: 5,7,9 # B9: 3,9 => UNS
* INC # F9: 6 + E5: 5,7,9 # B9: 5,7 => UNS
* INC # F9: 6 + E5: 5,7,9 # G2: 3,9 => UNS
* INC # F9: 6 + E5: 5,7,9 # G3: 3,9 => UNS
* INC # F9: 6 + E5: 5,7,9 # E4: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F6: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # C5: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # G5: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F1: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F3: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # I8: 3,9 => UNS
* INC # F9: 6 + E5: 5,7,9 # I8: 2,4,5 => UNS
* INC # F9: 6 + E5: 5,7,9 # B9: 3,9 => UNS
* INC # F9: 6 + E5: 5,7,9 # B9: 5,7 => UNS
* INC # F9: 6 + E5: 5,7,9 # G2: 3,9 => UNS
* INC # F9: 6 + E5: 5,7,9 # G3: 3,9 => UNS
* INC # F9: 6 + E5: 5,7,9 => UNS
* INC # D7: 6 # D8: 3,4 => UNS
* INC # D7: 6 # D8: 1,5 => UNS
* INC # D7: 6 # A9: 3,4 => UNS
* INC # D7: 6 # C9: 3,4 => UNS
* INC # D7: 6 # F1: 3,4 => UNS
* INC # D7: 6 # F3: 3,4 => UNS
* INC # D7: 6 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

Full list of HDP chains traversed for B8,B9: 9..:

* INC # B9: 9 # B4: 1,2 => UNS
* INC # B9: 9 # A6: 1,2 => UNS
* INC # B9: 9 # B6: 1,2 => UNS
* INC # B9: 9 # C6: 1,2 => UNS
* DIS # B9: 9 # E5: 1,2 => CTR => E5: 5,7,9
* INC # B9: 9 + E5: 5,7,9 # F5: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # G5: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # C1: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # C2: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # B4: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # A6: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # B6: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # C6: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # F5: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # G5: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # C1: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # C2: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # I7: 3,6 => UNS
* INC # B9: 9 + E5: 5,7,9 # I7: 2,4,5 => UNS
* INC # B9: 9 + E5: 5,7,9 # F9: 3,6 => UNS
* INC # B9: 9 + E5: 5,7,9 # F9: 4 => UNS
* INC # B9: 9 + E5: 5,7,9 # G2: 3,6 => UNS
* INC # B9: 9 + E5: 5,7,9 # G3: 3,6 => UNS
* INC # B9: 9 + E5: 5,7,9 # B4: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # A6: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # B6: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # C6: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # F5: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # G5: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # C1: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # C2: 1,2 => UNS
* INC # B9: 9 + E5: 5,7,9 # I7: 3,6 => UNS
* INC # B9: 9 + E5: 5,7,9 # I7: 2,4,5 => UNS
* INC # B9: 9 + E5: 5,7,9 # F9: 3,6 => UNS
* INC # B9: 9 + E5: 5,7,9 # F9: 4 => UNS
* INC # B9: 9 + E5: 5,7,9 # G2: 3,6 => UNS
* INC # B9: 9 + E5: 5,7,9 # G3: 3,6 => UNS
* INC # B9: 9 + E5: 5,7,9 => UNS
* INC # B8: 9 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

Full list of HDP chains traversed for B9,C9: 7..:

* INC # B9: 7 # A7: 3,4 => UNS
* INC # B9: 7 # A8: 3,4 => UNS
* INC # B9: 7 # A9: 3,4 => UNS
* INC # B9: 7 # F9: 3,4 => UNS
* INC # B9: 7 # F9: 6 => UNS
* INC # B9: 7 # C1: 3,4 => UNS
* INC # B9: 7 # C2: 3,4 => UNS
* INC # B9: 7 => UNS
* INC # C9: 7 # B4: 1,2 => UNS
* INC # C9: 7 # A6: 1,2 => UNS
* INC # C9: 7 # B6: 1,2 => UNS
* INC # C9: 7 # C6: 1,2 => UNS
* DIS # C9: 7 # E5: 1,2 => CTR => E5: 5,7,9
* INC # C9: 7 + E5: 5,7,9 # F5: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # G5: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # C1: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # C2: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # B4: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # A6: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # B6: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # C6: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # F5: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # G5: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # C1: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # C2: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # B4: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # A6: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # B6: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # C6: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # F5: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # G5: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # C1: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 # C2: 1,2 => UNS
* INC # C9: 7 + E5: 5,7,9 => UNS
* CNT  34 HDP CHAINS /  34 HYP OPENED

Full list of HDP chains traversed for E4,E5: 7..:

* INC # E4: 7 # H4: 2,5 => UNS
* DIS # E4: 7 # I5: 2,5 => CTR => I5: 6,7,9
* DIS # E4: 7 + I5: 6,7,9 # H6: 2,5 => CTR => H6: 1,6,7,9
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # H4: 2,5 => UNS
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # H4: 1 => UNS
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # I7: 2,5 => UNS
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # I8: 2,5 => UNS
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # D6: 1,3 => UNS
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # F6: 1,3 => UNS
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # B4: 1,3 => UNS
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # B4: 2 => UNS
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # D2: 1,3 => UNS
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # D7: 1,3 => UNS
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # D8: 1,3 => UNS
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # H4: 2,5 => UNS
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # H4: 1 => UNS
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # I7: 2,5 => UNS
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 # I8: 2,5 => UNS
* INC # E4: 7 + I5: 6,7,9 + H6: 1,6,7,9 => UNS
* INC # E5: 7 # B4: 1,2 => UNS
* INC # E5: 7 # A6: 1,2 => UNS
* INC # E5: 7 # B6: 1,2 => UNS
* INC # E5: 7 # C6: 1,2 => UNS
* INC # E5: 7 # F5: 1,2 => UNS
* INC # E5: 7 # G5: 1,2 => UNS
* INC # E5: 7 # C1: 1,2 => UNS
* INC # E5: 7 # C2: 1,2 => UNS
* INC # E5: 7 => UNS
* CNT  28 HDP CHAINS /  28 HYP OPENED

Full list of HDP chains traversed for H3,I3: 7..:

* INC # H3: 7 # B4: 1,2 => UNS
* INC # H3: 7 # A6: 1,2 => UNS
* INC # H3: 7 # B6: 1,2 => UNS
* INC # H3: 7 # C6: 1,2 => UNS
* INC # H3: 7 # E5: 1,2 => UNS
* INC # H3: 7 # F5: 1,2 => UNS
* INC # H3: 7 # G5: 1,2 => UNS
* INC # H3: 7 # C1: 1,2 => UNS
* INC # H3: 7 # C2: 1,2 => UNS
* INC # H3: 7 => UNS
* INC # I3: 7 # H4: 2,5 => UNS
* INC # I3: 7 # I5: 2,5 => UNS
* INC # I3: 7 # H6: 2,5 => UNS
* INC # I3: 7 # B4: 2,5 => UNS
* INC # I3: 7 # E4: 2,5 => UNS
* INC # I3: 7 # I7: 2,5 => UNS
* INC # I3: 7 # I8: 2,5 => UNS
* INC # I3: 7 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for B2,B3: 6..:

* INC # B2: 6 => UNS
* INC # B3: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for D7,F9: 6..:

* INC # F9: 6 # E4: 1,2 => UNS
* DIS # F9: 6 # E5: 1,2 => CTR => E5: 5,7,9
* INC # F9: 6 + E5: 5,7,9 # F6: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # C5: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # G5: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F1: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F3: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # E4: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F6: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # C5: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # G5: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F1: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F3: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # I8: 3,9 => UNS
* INC # F9: 6 + E5: 5,7,9 # I8: 2,4,5 => UNS
* INC # F9: 6 + E5: 5,7,9 # B9: 3,9 => UNS
* INC # F9: 6 + E5: 5,7,9 # B9: 5,7 => UNS
* INC # F9: 6 + E5: 5,7,9 # G2: 3,9 => UNS
* INC # F9: 6 + E5: 5,7,9 # G3: 3,9 => UNS
* INC # F9: 6 + E5: 5,7,9 # E4: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F6: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # C5: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # G5: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F1: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # F3: 1,2 => UNS
* INC # F9: 6 + E5: 5,7,9 # I8: 3,9 => UNS
* INC # F9: 6 + E5: 5,7,9 # I8: 2,4,5 => UNS
* INC # F9: 6 + E5: 5,7,9 # B9: 3,9 => UNS
* INC # F9: 6 + E5: 5,7,9 # B9: 5,7 => UNS
* INC # F9: 6 + E5: 5,7,9 # G2: 3,9 => UNS
* INC # F9: 6 + E5: 5,7,9 # G3: 3,9 => UNS
* DIS # F9: 6 + E5: 5,7,9 # E4: 1,2 # E2: 1,3 => CTR => E2: 2,9
* PRF # F9: 6 + E5: 5,7,9 # E4: 1,2 + E2: 2,9 # E3: 1,3 => SOL
* STA # F9: 6 + E5: 5,7,9 # E4: 1,2 + E2: 2,9 + E3: 1,3
* CNT  33 HDP CHAINS /  35 HYP OPENED