Analysis of xx-ph-01627712-14_09-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..75..6..9...6......8..5......4...3.....5.7.8....8.5.92...7.9.5.1...1.2... initial

Autosolve

position: 98.7..6..75..6..9...6......87.5......4...3.....5.7.8....8.5792...7.9.5.15..1.2... 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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for D5,E5: 8..:

* DIS # E5: 8 # H9: 3,4 => CTR => H9: 6,7,8
* CNT   1 HDP CHAINS /  31 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: 0:00:16.253571

List of important HDP chains detected for B6,B9: 9..:

* DIS # B6: 9 # C4: 1,2 # E1: 3,4 => CTR => E1: 1,2
* PRF # B6: 9 # C4: 1,2 + E1: 1,2 # H1: 3,4 => SOL
* STA # B6: 9 # C4: 1,2 + E1: 1,2 + H1: 3,4
* CNT   2 HDP CHAINS /  15 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

98.7..6..75..6..9...6......8..5......4...3.....5.7.8....8.5.92...7.9.5.1...1.2... initial
98.7..6..75..6..9...6......87.5......4...3.....5.7.8....8.5792...7.9.5.15..1.2... autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A7,B7: 1.. / A7 = 1  =>  2 pairs (_) / B7 = 1  =>  1 pairs (_)
A8,B8: 2.. / A8 = 2  =>  2 pairs (_) / B8 = 2  =>  1 pairs (_)
F1,F3: 5.. / F1 = 5  =>  0 pairs (_) / F3 = 5  =>  1 pairs (_)
H5,I5: 5.. / H5 = 5  =>  0 pairs (_) / I5 = 5  =>  0 pairs (_)
D5,E5: 8.. / D5 = 8  =>  1 pairs (_) / E5 = 8  =>  1 pairs (_)
D3,F3: 9.. / D3 = 9  =>  0 pairs (_) / F3 = 9  =>  0 pairs (_)
B9,C9: 9.. / B9 = 9  =>  2 pairs (_) / C9 = 9  =>  2 pairs (_)
B6,B9: 9.. / B6 = 9  =>  2 pairs (_) / B9 = 9  =>  2 pairs (_)
* DURATION: 0:00:05.270591  START: 20:23:31.810394  END: 20:23:37.080985 2020-10-05
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B6,B9: 9.. / B6 = 9 ==>  2 pairs (_) / B9 = 9 ==>  2 pairs (_)
B9,C9: 9.. / B9 = 9 ==>  2 pairs (_) / C9 = 9 ==>  2 pairs (_)
A8,B8: 2.. / A8 = 2 ==>  2 pairs (_) / B8 = 2 ==>  1 pairs (_)
A7,B7: 1.. / A7 = 1 ==>  2 pairs (_) / B7 = 1 ==>  1 pairs (_)
D5,E5: 8.. / D5 = 8 ==>  1 pairs (_) / E5 = 8 ==>  1 pairs (_)
F1,F3: 5.. / F1 = 5 ==>  0 pairs (_) / F3 = 5 ==>  1 pairs (_)
D3,F3: 9.. / D3 = 9 ==>  0 pairs (_) / F3 = 9 ==>  0 pairs (_)
H5,I5: 5.. / H5 = 5 ==>  0 pairs (_) / I5 = 5 ==>  0 pairs (_)
* DURATION: 0:01:12.855545  START: 20:23:37.081537  END: 20:24:49.937082 2020-10-05
* REASONING D5,E5: 8..
* DIS # E5: 8 # H9: 3,4 => CTR => H9: 6,7,8
* CNT   1 HDP CHAINS /  31 HYP OPENED
* DCP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
B6,B9: 9.. / B6 = 9 ==>  0 pairs (*) / B9 = 9  =>  0 pairs (X)
* DURATION: 0:00:16.251075  START: 20:24:50.026620  END: 20:25:06.277695 2020-10-05
* REASONING B6,B9: 9..
* DIS # B6: 9 # C4: 1,2 # E1: 3,4 => CTR => E1: 1,2
* PRF # B6: 9 # C4: 1,2 + E1: 1,2 # H1: 3,4 => SOL
* STA # B6: 9 # C4: 1,2 + E1: 1,2 + H1: 3,4
* CNT   2 HDP CHAINS /  15 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1627712;14_09;GP;26;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B6,B9: 9..:

* INC # B6: 9 # C4: 1,2 => UNS
* INC # B6: 9 # A5: 1,2 => UNS
* INC # B6: 9 # A6: 1,2 => UNS
* INC # B6: 9 # E5: 1,2 => UNS
* INC # B6: 9 # G5: 1,2 => UNS
* INC # B6: 9 # C1: 1,2 => UNS
* INC # B6: 9 # C2: 1,2 => UNS
* INC # B6: 9 # B7: 3,6 => UNS
* INC # B6: 9 # B8: 3,6 => UNS
* INC # B6: 9 # H9: 3,6 => UNS
* INC # B6: 9 # I9: 3,6 => UNS
* INC # B6: 9 => UNS
* INC # B9: 9 # A7: 3,4 => UNS
* INC # B9: 9 # A8: 3,4 => UNS
* INC # B9: 9 # E9: 3,4 => UNS
* INC # B9: 9 # G9: 3,4 => UNS
* INC # B9: 9 # H9: 3,4 => UNS
* INC # B9: 9 # I9: 3,4 => UNS
* INC # B9: 9 # C1: 3,4 => UNS
* INC # B9: 9 # C2: 3,4 => UNS
* INC # B9: 9 # H8: 3,4 => UNS
* INC # B9: 9 # G9: 3,4 => UNS
* INC # B9: 9 # H9: 3,4 => UNS
* INC # B9: 9 # I9: 3,4 => UNS
* INC # B9: 9 # A7: 3,4 => UNS
* INC # B9: 9 # D7: 3,4 => UNS
* INC # B9: 9 # I1: 3,4 => UNS
* INC # B9: 9 # I2: 3,4 => UNS
* INC # B9: 9 # I3: 3,4 => UNS
* INC # B9: 9 # I4: 3,4 => UNS
* INC # B9: 9 # I6: 3,4 => UNS
* INC # B9: 9 => UNS
* CNT  32 HDP CHAINS /  32 HYP OPENED

Full list of HDP chains traversed for B9,C9: 9..:

* INC # B9: 9 # A7: 3,4 => UNS
* INC # B9: 9 # A8: 3,4 => UNS
* INC # B9: 9 # E9: 3,4 => UNS
* INC # B9: 9 # G9: 3,4 => UNS
* INC # B9: 9 # H9: 3,4 => UNS
* INC # B9: 9 # I9: 3,4 => UNS
* INC # B9: 9 # C1: 3,4 => UNS
* INC # B9: 9 # C2: 3,4 => UNS
* INC # B9: 9 # H8: 3,4 => UNS
* INC # B9: 9 # G9: 3,4 => UNS
* INC # B9: 9 # H9: 3,4 => UNS
* INC # B9: 9 # I9: 3,4 => UNS
* INC # B9: 9 # A7: 3,4 => UNS
* INC # B9: 9 # D7: 3,4 => UNS
* INC # B9: 9 # I1: 3,4 => UNS
* INC # B9: 9 # I2: 3,4 => UNS
* INC # B9: 9 # I3: 3,4 => UNS
* INC # B9: 9 # I4: 3,4 => UNS
* INC # B9: 9 # I6: 3,4 => UNS
* INC # B9: 9 => UNS
* INC # C9: 9 # C4: 1,2 => UNS
* INC # C9: 9 # A5: 1,2 => UNS
* INC # C9: 9 # A6: 1,2 => UNS
* INC # C9: 9 # E5: 1,2 => UNS
* INC # C9: 9 # G5: 1,2 => UNS
* INC # C9: 9 # C1: 1,2 => UNS
* INC # C9: 9 # C2: 1,2 => UNS
* INC # C9: 9 # B7: 3,6 => UNS
* INC # C9: 9 # B8: 3,6 => UNS
* INC # C9: 9 # H9: 3,6 => UNS
* INC # C9: 9 # I9: 3,6 => UNS
* INC # C9: 9 => UNS
* CNT  32 HDP CHAINS /  32 HYP OPENED

Full list of HDP chains traversed for A8,B8: 2..:

* INC # A8: 2 # A6: 1,6 => UNS
* INC # A8: 2 # B6: 1,6 => UNS
* INC # A8: 2 # H5: 1,6 => UNS
* INC # A8: 2 # H5: 5,7 => UNS
* INC # A8: 2 # A7: 1,6 => UNS
* INC # A8: 2 # A7: 3,4 => UNS
* INC # A8: 2 # A7: 3,6 => UNS
* INC # A8: 2 # B7: 3,6 => UNS
* INC # A8: 2 # B9: 3,6 => UNS
* INC # A8: 2 # D8: 3,6 => UNS
* INC # A8: 2 # H8: 3,6 => UNS
* INC # A8: 2 # B6: 3,6 => UNS
* INC # A8: 2 # B6: 1,2,9 => UNS
* INC # A8: 2 => UNS
* INC # B8: 2 # C1: 1,3 => UNS
* INC # B8: 2 # C2: 1,3 => UNS
* INC # B8: 2 # A3: 1,3 => UNS
* INC # B8: 2 # E3: 1,3 => UNS
* INC # B8: 2 # G3: 1,3 => UNS
* INC # B8: 2 # H3: 1,3 => UNS
* INC # B8: 2 # B6: 1,3 => UNS
* INC # B8: 2 # B7: 1,3 => UNS
* INC # B8: 2 => UNS
* CNT  23 HDP CHAINS /  23 HYP OPENED

Full list of HDP chains traversed for A7,B7: 1..:

* INC # A7: 1 # A6: 2,6 => UNS
* INC # A7: 1 # B6: 2,6 => UNS
* INC # A7: 1 # D5: 2,6 => UNS
* INC # A7: 1 # I5: 2,6 => UNS
* INC # A7: 1 # A8: 2,6 => UNS
* INC # A7: 1 # A8: 3,4 => UNS
* INC # A7: 1 # A8: 3,6 => UNS
* INC # A7: 1 # B8: 3,6 => UNS
* INC # A7: 1 # B9: 3,6 => UNS
* INC # A7: 1 # D7: 3,6 => UNS
* INC # A7: 1 # I7: 3,6 => UNS
* INC # A7: 1 # B6: 3,6 => UNS
* INC # A7: 1 # B6: 1,2,9 => UNS
* INC # A7: 1 => UNS
* INC # B7: 1 # C1: 2,3 => UNS
* INC # B7: 1 # C2: 2,3 => UNS
* INC # B7: 1 # A3: 2,3 => UNS
* INC # B7: 1 # D3: 2,3 => UNS
* INC # B7: 1 # E3: 2,3 => UNS
* INC # B7: 1 # G3: 2,3 => UNS
* INC # B7: 1 # I3: 2,3 => UNS
* INC # B7: 1 # B6: 2,3 => UNS
* INC # B7: 1 # B8: 2,3 => UNS
* INC # B7: 1 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for D5,E5: 8..:

* INC # D5: 8 # E4: 1,2 => UNS
* INC # D5: 8 # E4: 4 => UNS
* INC # D5: 8 # A5: 1,2 => UNS
* INC # D5: 8 # C5: 1,2 => UNS
* INC # D5: 8 # G5: 1,2 => UNS
* INC # D5: 8 # E1: 1,2 => UNS
* INC # D5: 8 # E3: 1,2 => UNS
* INC # D5: 8 => UNS
* INC # E5: 8 # D7: 3,4 => UNS
* INC # E5: 8 # D8: 3,4 => UNS
* INC # E5: 8 # C9: 3,4 => UNS
* INC # E5: 8 # G9: 3,4 => UNS
* DIS # E5: 8 # H9: 3,4 => CTR => H9: 6,7,8
* INC # E5: 8 + H9: 6,7,8 # I9: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # E1: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # E3: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # D7: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # D8: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # C9: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # G9: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # I9: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # E1: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # E3: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # D7: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # D8: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # C9: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # G9: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # I9: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # E1: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 # E3: 3,4 => UNS
* INC # E5: 8 + H9: 6,7,8 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for F1,F3: 5..:

* INC # F3: 5 # E1: 1,4 => UNS
* INC # F3: 5 # F2: 1,4 => UNS
* INC # F3: 5 # E3: 1,4 => UNS
* INC # F3: 5 # C1: 1,4 => UNS
* INC # F3: 5 # H1: 1,4 => UNS
* INC # F3: 5 # F4: 1,4 => UNS
* INC # F3: 5 # F6: 1,4 => UNS
* INC # F3: 5 => UNS
* INC # F1: 5 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for D3,F3: 9..:

* INC # D3: 9 => UNS
* INC # F3: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H5,I5: 5..:

* INC # H5: 5 => UNS
* INC # I5: 5 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for B6,B9: 9..:

* INC # B6: 9 # C4: 1,2 => UNS
* INC # B6: 9 # A5: 1,2 => UNS
* INC # B6: 9 # A6: 1,2 => UNS
* INC # B6: 9 # E5: 1,2 => UNS
* INC # B6: 9 # G5: 1,2 => UNS
* INC # B6: 9 # C1: 1,2 => UNS
* INC # B6: 9 # C2: 1,2 => UNS
* INC # B6: 9 # B7: 3,6 => UNS
* INC # B6: 9 # B8: 3,6 => UNS
* INC # B6: 9 # H9: 3,6 => UNS
* INC # B6: 9 # I9: 3,6 => UNS
* DIS # B6: 9 # C4: 1,2 # E1: 3,4 => CTR => E1: 1,2
* PRF # B6: 9 # C4: 1,2 + E1: 1,2 # H1: 3,4 => SOL
* STA # B6: 9 # C4: 1,2 + E1: 1,2 + H1: 3,4
* CNT  13 HDP CHAINS /  15 HYP OPENED