Analysis of xx-ph-02237036-2019_01_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....75.4.......3.587..5...793.....3...2..........3.......1.7...58.....6...73 initial

Autosolve

position: 98.76....75.4.......3.587..5...793.....3...2..3.5.....3....7..1.7..358.....6...73 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for D4,D7: 8..:

* DIS # D4: 8 # G5: 1,4 => CTR => G5: 5,6,9
* DIS # D4: 8 + G5: 5,6,9 # I5: 4,6 => CTR => I5: 5,7,8,9
* CNT   2 HDP CHAINS /  74 HYP OPENED

List of important HDP chains detected for H1,H7: 5..:

* DIS # H1: 5 # E2: 1,2 => CTR => E2: 9
* PRF # H1: 5 + E2: 9 # I3: 2,4 => SOL
* STA # H1: 5 + E2: 9 + I3: 2,4
* CNT   2 HDP CHAINS /   8 HYP OPENED

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

Details

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

Positions

98.76....75.4.......3.587..5...793.....3...2..........3.......1.7...58.....6...73 initial
98.76....75.4.......3.587..5...793.....3...2..3.5.....3....7..1.7..358.....6...73 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F1,F2: 3.. / F1 = 3  =>  2 pairs (_) / F2 = 3  =>  1 pairs (_)
H1,H2: 3.. / H1 = 3  =>  1 pairs (_) / H2 = 3  =>  2 pairs (_)
F1,H1: 3.. / F1 = 3  =>  2 pairs (_) / H1 = 3  =>  1 pairs (_)
F2,H2: 3.. / F2 = 3  =>  1 pairs (_) / H2 = 3  =>  2 pairs (_)
G5,I5: 5.. / G5 = 5  =>  0 pairs (_) / I5 = 5  =>  1 pairs (_)
C7,C9: 5.. / C7 = 5  =>  3 pairs (_) / C9 = 5  =>  0 pairs (_)
C9,G9: 5.. / C9 = 5  =>  0 pairs (_) / G9 = 5  =>  3 pairs (_)
H1,H7: 5.. / H1 = 5  =>  3 pairs (_) / H7 = 5  =>  0 pairs (_)
I1,I5: 5.. / I1 = 5  =>  0 pairs (_) / I5 = 5  =>  1 pairs (_)
F5,F6: 6.. / F5 = 6  =>  0 pairs (_) / F6 = 6  =>  1 pairs (_)
C5,C6: 7.. / C5 = 7  =>  0 pairs (_) / C6 = 7  =>  0 pairs (_)
I5,I6: 7.. / I5 = 7  =>  0 pairs (_) / I6 = 7  =>  0 pairs (_)
C5,I5: 7.. / C5 = 7  =>  0 pairs (_) / I5 = 7  =>  0 pairs (_)
C6,I6: 7.. / C6 = 7  =>  0 pairs (_) / I6 = 7  =>  0 pairs (_)
H2,I2: 8.. / H2 = 8  =>  1 pairs (_) / I2 = 8  =>  1 pairs (_)
D4,D7: 8.. / D4 = 8  =>  3 pairs (_) / D7 = 8  =>  1 pairs (_)
E2,D3: 9.. / E2 = 9  =>  1 pairs (_) / D3 = 9  =>  3 pairs (_)
* DURATION: 0:00:11.784284  START: 06:01:27.155209  END: 06:01:38.939493 2020-09-24
* CP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E2,D3: 9.. / E2 = 9 ==>  1 pairs (_) / D3 = 9 ==>  3 pairs (_)
D4,D7: 8.. / D4 = 8 ==>  3 pairs (_) / D7 = 8 ==>  1 pairs (_)
H1,H7: 5.. / H1 = 5 ==>  0 pairs (*) / H7 = 5  =>  0 pairs (X)
* DURATION: 0:01:00.994321  START: 06:01:38.940286  END: 06:02:39.934607 2020-09-24
* REASONING D4,D7: 8..
* DIS # D4: 8 # G5: 1,4 => CTR => G5: 5,6,9
* DIS # D4: 8 + G5: 5,6,9 # I5: 4,6 => CTR => I5: 5,7,8,9
* CNT   2 HDP CHAINS /  74 HYP OPENED
* REASONING H1,H7: 5..
* DIS # H1: 5 # E2: 1,2 => CTR => E2: 9
* PRF # H1: 5 + E2: 9 # I3: 2,4 => SOL
* STA # H1: 5 + E2: 9 + I3: 2,4
* CNT   2 HDP CHAINS /   8 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

2237036;2019_01_07;PAQ;25;11.60;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E2,D3: 9..:

* INC # D3: 9 # F1: 1,2 => UNS
* INC # D3: 9 # F2: 1,2 => UNS
* INC # D3: 9 # C2: 1,2 => UNS
* INC # D3: 9 # G2: 1,2 => UNS
* INC # D3: 9 # E6: 1,2 => UNS
* INC # D3: 9 # E9: 1,2 => UNS
* INC # D3: 9 # E7: 2,8 => UNS
* INC # D3: 9 # E9: 2,8 => UNS
* INC # D3: 9 # C7: 2,8 => UNS
* INC # D3: 9 # C7: 4,5,6,9 => UNS
* INC # D3: 9 # D4: 2,8 => UNS
* INC # D3: 9 # D4: 1 => UNS
* INC # D3: 9 # E9: 1,2 => UNS
* INC # D3: 9 # F9: 1,2 => UNS
* INC # D3: 9 # A8: 1,2 => UNS
* INC # D3: 9 # C8: 1,2 => UNS
* INC # D3: 9 # D4: 1,2 => UNS
* INC # D3: 9 # D4: 8 => UNS
* INC # D3: 9 => UNS
* INC # E2: 9 # F1: 1,2 => UNS
* INC # E2: 9 # F2: 1,2 => UNS
* INC # E2: 9 # A3: 1,2 => UNS
* INC # E2: 9 # B3: 1,2 => UNS
* INC # E2: 9 # D4: 1,2 => UNS
* INC # E2: 9 # D8: 1,2 => UNS
* INC # E2: 9 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for D4,D7: 8..:

* INC # D4: 8 # F5: 1,4 => UNS
* INC # D4: 8 # E6: 1,4 => UNS
* INC # D4: 8 # F6: 1,4 => UNS
* INC # D4: 8 # A5: 1,4 => UNS
* INC # D4: 8 # B5: 1,4 => UNS
* INC # D4: 8 # C5: 1,4 => UNS
* DIS # D4: 8 # G5: 1,4 => CTR => G5: 5,6,9
* INC # D4: 8 + G5: 5,6,9 # E9: 1,4 => UNS
* INC # D4: 8 + G5: 5,6,9 # E9: 2,8,9 => UNS
* INC # D4: 8 + G5: 5,6,9 # F5: 1,4 => UNS
* INC # D4: 8 + G5: 5,6,9 # E6: 1,4 => UNS
* INC # D4: 8 + G5: 5,6,9 # F6: 1,4 => UNS
* INC # D4: 8 + G5: 5,6,9 # A5: 1,4 => UNS
* INC # D4: 8 + G5: 5,6,9 # B5: 1,4 => UNS
* INC # D4: 8 + G5: 5,6,9 # C5: 1,4 => UNS
* INC # D4: 8 + G5: 5,6,9 # E9: 1,4 => UNS
* INC # D4: 8 + G5: 5,6,9 # E9: 2,8,9 => UNS
* INC # D4: 8 + G5: 5,6,9 # H4: 4,6 => UNS
* DIS # D4: 8 + G5: 5,6,9 # I5: 4,6 => CTR => I5: 5,7,8,9
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # G6: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # H6: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # I6: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # B4: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # C4: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # I3: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # I8: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # H4: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # G6: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # H6: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # I6: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # B4: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # C4: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # I3: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # I8: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # E7: 2,9 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # D8: 2,9 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # E9: 2,9 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # B7: 2,9 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # C7: 2,9 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # G7: 2,9 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # D3: 2,9 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # D3: 1 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # F5: 1,4 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # E6: 1,4 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # F6: 1,4 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # A5: 1,4 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # B5: 1,4 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # C5: 1,4 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # E9: 1,4 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # E9: 2,8,9 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # H4: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # G6: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # H6: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # I6: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # B4: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # C4: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # I3: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # I8: 4,6 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # E7: 2,9 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # D8: 2,9 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # E9: 2,9 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # B7: 2,9 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # C7: 2,9 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # G7: 2,9 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # D3: 2,9 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 # D3: 1 => UNS
* INC # D4: 8 + G5: 5,6,9 + I5: 5,7,8,9 => UNS
* INC # D7: 8 # E6: 1,2 => UNS
* INC # D7: 8 # F6: 1,2 => UNS
* INC # D7: 8 # B4: 1,2 => UNS
* INC # D7: 8 # C4: 1,2 => UNS
* INC # D7: 8 # D3: 1,2 => UNS
* INC # D7: 8 # D8: 1,2 => UNS
* INC # D7: 8 => UNS
* CNT  74 HDP CHAINS /  74 HYP OPENED

Full list of HDP chains traversed for H1,H7: 5..:

* DIS # H1: 5 # E2: 1,2 => CTR => E2: 9
* INC # H1: 5 + E2: 9 # C2: 1,2 => UNS
* INC # H1: 5 + E2: 9 # G2: 1,2 => UNS
* INC # H1: 5 + E2: 9 # F6: 1,2 => UNS
* INC # H1: 5 + E2: 9 # F9: 1,2 => UNS
* INC # H1: 5 + E2: 9 # G1: 2,4 => UNS
* PRF # H1: 5 + E2: 9 # I3: 2,4 => SOL
* STA # H1: 5 + E2: 9 + I3: 2,4
* CNT   7 HDP CHAINS /   8 HYP OPENED