Analysis of xx-ph-02316407-2019_01_13-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....75.4.......3..8...5...793...3.5...7.........2.7..358.....6...37.......1. initial

Autosolve

position: 98.76....75.4.......3.587..5...793...3.5...7...73....2.7..358.....6...373....7.1. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for D4,D9: 8..:

* DIS # D4: 8 # G6: 1,4 => CTR => G6: 5,6,9
* DIS # D4: 8 + G6: 5,6,9 # I5: 4,6 => CTR => I5: 1,8,9
* DIS # D4: 8 + G6: 5,6,9 + I5: 1,8,9 # H6: 4,6 => CTR => H6: 5,8,9
* CNT   3 HDP CHAINS /  66 HYP OPENED

List of important HDP chains detected for I1,I9: 5..:

* DIS # I1: 5 # E2: 1,2 => CTR => E2: 9
* PRF # I1: 5 + E2: 9 # H3: 2,4 => SOL
* STA # I1: 5 + E2: 9 + H3: 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..8...5...793...3.5...7.........2.7..358.....6...37.......1. initial
98.76....75.4.......3.587..5...793...3.5...7...73....2.7..358.....6...373....7.1. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
F1,F2: 3.. / F1 = 3  =>  2 pairs (_) / F2 = 3  =>  1 pairs (_)
I1,I2: 3.. / I1 = 3  =>  1 pairs (_) / I2 = 3  =>  2 pairs (_)
F1,I1: 3.. / F1 = 3  =>  2 pairs (_) / I1 = 3  =>  1 pairs (_)
F2,I2: 3.. / F2 = 3  =>  1 pairs (_) / I2 = 3  =>  2 pairs (_)
G6,H6: 5.. / G6 = 5  =>  0 pairs (_) / H6 = 5  =>  1 pairs (_)
C8,C9: 5.. / C8 = 5  =>  0 pairs (_) / C9 = 5  =>  3 pairs (_)
C8,G8: 5.. / C8 = 5  =>  0 pairs (_) / G8 = 5  =>  3 pairs (_)
H1,H6: 5.. / H1 = 5  =>  0 pairs (_) / H6 = 5  =>  1 pairs (_)
I1,I9: 5.. / I1 = 5  =>  3 pairs (_) / I9 = 5  =>  0 pairs (_)
F5,F6: 6.. / F5 = 6  =>  1 pairs (_) / F6 = 6  =>  0 pairs (_)
H2,I2: 8.. / H2 = 8  =>  1 pairs (_) / I2 = 8  =>  1 pairs (_)
D4,D9: 8.. / D4 = 8  =>  3 pairs (_) / D9 = 8  =>  1 pairs (_)
E2,D3: 9.. / E2 = 9  =>  1 pairs (_) / D3 = 9  =>  3 pairs (_)
C5,B6: 9.. / C5 = 9  =>  2 pairs (_) / B6 = 9  =>  0 pairs (_)
* DURATION: 0:00:10.947853  START: 02:48:18.804617  END: 02:48:29.752470 2020-09-24
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E2,D3: 9.. / E2 = 9 ==>  1 pairs (_) / D3 = 9 ==>  3 pairs (_)
D4,D9: 8.. / D4 = 8 ==>  3 pairs (_) / D9 = 8 ==>  1 pairs (_)
I1,I9: 5.. / I1 = 5 ==>  0 pairs (*) / I9 = 5  =>  0 pairs (X)
* DURATION: 0:01:00.421179  START: 02:48:29.753071  END: 02:49:30.174250 2020-09-24
* REASONING D4,D9: 8..
* DIS # D4: 8 # G6: 1,4 => CTR => G6: 5,6,9
* DIS # D4: 8 + G6: 5,6,9 # I5: 4,6 => CTR => I5: 1,8,9
* DIS # D4: 8 + G6: 5,6,9 + I5: 1,8,9 # H6: 4,6 => CTR => H6: 5,8,9
* CNT   3 HDP CHAINS /  66 HYP OPENED
* REASONING I1,I9: 5..
* DIS # I1: 5 # E2: 1,2 => CTR => E2: 9
* PRF # I1: 5 + E2: 9 # H3: 2,4 => SOL
* STA # I1: 5 + E2: 9 + H3: 2,4
* CNT   2 HDP CHAINS /   8 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

2316407;2019_01_13;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 # E5: 1,2 => UNS
* INC # D3: 9 # E8: 1,2 => UNS
* INC # D3: 9 # E8: 1,2 => UNS
* INC # D3: 9 # F8: 1,2 => UNS
* INC # D3: 9 # A7: 1,2 => UNS
* INC # D3: 9 # C7: 1,2 => UNS
* INC # D3: 9 # D4: 1,2 => UNS
* INC # D3: 9 # D4: 8 => UNS
* INC # D3: 9 # E8: 2,8 => UNS
* INC # D3: 9 # E9: 2,8 => UNS
* INC # D3: 9 # C9: 2,8 => UNS
* INC # D3: 9 # C9: 4,5,6,9 => UNS
* INC # D3: 9 # D4: 2,8 => UNS
* INC # D3: 9 # D4: 1 => 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 # D7: 1,2 => UNS
* INC # E2: 9 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for D4,D9: 8..:

* INC # D4: 8 # E5: 1,4 => UNS
* INC # D4: 8 # F5: 1,4 => UNS
* INC # D4: 8 # F6: 1,4 => UNS
* INC # D4: 8 # A6: 1,4 => UNS
* INC # D4: 8 # B6: 1,4 => UNS
* DIS # D4: 8 # G6: 1,4 => CTR => G6: 5,6,9
* INC # D4: 8 + G6: 5,6,9 # E8: 1,4 => UNS
* INC # D4: 8 + G6: 5,6,9 # E8: 2,8,9 => UNS
* INC # D4: 8 + G6: 5,6,9 # E5: 1,4 => UNS
* INC # D4: 8 + G6: 5,6,9 # F5: 1,4 => UNS
* INC # D4: 8 + G6: 5,6,9 # F6: 1,4 => UNS
* INC # D4: 8 + G6: 5,6,9 # A6: 1,4 => UNS
* INC # D4: 8 + G6: 5,6,9 # B6: 1,4 => UNS
* INC # D4: 8 + G6: 5,6,9 # E8: 1,4 => UNS
* INC # D4: 8 + G6: 5,6,9 # E8: 2,8,9 => UNS
* INC # D4: 8 + G6: 5,6,9 # I4: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 # G5: 4,6 => UNS
* DIS # D4: 8 + G6: 5,6,9 # I5: 4,6 => CTR => I5: 1,8,9
* DIS # D4: 8 + G6: 5,6,9 + I5: 1,8,9 # H6: 4,6 => CTR => H6: 5,8,9
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # B4: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # C4: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # H3: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # H7: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # I4: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # G5: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # B4: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # C4: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # H3: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # H7: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # D7: 2,9 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # E8: 2,9 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # E9: 2,9 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # B9: 2,9 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # C9: 2,9 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # G9: 2,9 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # D3: 2,9 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # D3: 1 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # E5: 1,4 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # F5: 1,4 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # F6: 1,4 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # A6: 1,4 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # B6: 1,4 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # E8: 1,4 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # E8: 2,8,9 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # I4: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # G5: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # B4: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # C4: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # H3: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # H7: 4,6 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # D7: 2,9 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # E8: 2,9 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # E9: 2,9 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # B9: 2,9 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # C9: 2,9 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # G9: 2,9 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # D3: 2,9 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 # D3: 1 => UNS
* INC # D4: 8 + G6: 5,6,9 + I5: 1,8,9 + H6: 5,8,9 => UNS
* INC # D9: 8 # E5: 1,2 => UNS
* INC # D9: 8 # F5: 1,2 => UNS
* INC # D9: 8 # B4: 1,2 => UNS
* INC # D9: 8 # C4: 1,2 => UNS
* INC # D9: 8 # D3: 1,2 => UNS
* INC # D9: 8 # D7: 1,2 => UNS
* INC # D9: 8 => UNS
* CNT  66 HDP CHAINS /  66 HYP OPENED

Full list of HDP chains traversed for I1,I9: 5..:

* DIS # I1: 5 # E2: 1,2 => CTR => E2: 9
* INC # I1: 5 + E2: 9 # C2: 1,2 => UNS
* INC # I1: 5 + E2: 9 # G2: 1,2 => UNS
* INC # I1: 5 + E2: 9 # F5: 1,2 => UNS
* INC # I1: 5 + E2: 9 # F8: 1,2 => UNS
* INC # I1: 5 + E2: 9 # G1: 2,4 => UNS
* PRF # I1: 5 + E2: 9 # H3: 2,4 => SOL
* STA # I1: 5 + E2: 9 + H3: 2,4
* CNT   7 HDP CHAINS /   8 HYP OPENED