Analysis of xx-ph-02123976-2018_12_01-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..5..94......4..3...7..8..5...2.....8...8.....1.5..6.9.....5....8....79.5. initial

Autosolve

position: 98.7..6..5..94.8....4.83.957..8..5...25....8...8.....1.5..689.....5....88...79.5. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for B3,G3: 7..:

* DIS # G3: 7 # I4: 2,3 => CTR => I4: 4,6,9
* DIS # G3: 7 + I4: 4,6,9 # I5: 3,4 => CTR => I5: 6,7,9
* DIS # G3: 7 + I4: 4,6,9 + I5: 6,7,9 # H6: 3,4 => CTR => H6: 2,6,7
* CNT   3 HDP CHAINS /  66 HYP OPENED

List of important HDP chains detected for C4,C8: 9..:

* DIS # C4: 9 # F2: 1,2 => CTR => F2: 6
* PRF # C4: 9 + F2: 6 # D5: 1,3 => SOL
* STA # C4: 9 + F2: 6 + D5: 1,3
* 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

98.7..6..5..94......4..3...7..8..5...2.....8...8.....1.5..6.9.....5....8....79.5. initial
98.7..6..5..94.8....4.83.957..8..5...25....8...8.....1.5..689.....5....88...79.5. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H1,I1: 4.. / H1 = 4  =>  1 pairs (_) / I1 = 4  =>  0 pairs (_)
E1,F1: 5.. / E1 = 5  =>  2 pairs (_) / F1 = 5  =>  1 pairs (_)
E6,F6: 5.. / E6 = 5  =>  1 pairs (_) / F6 = 5  =>  2 pairs (_)
E1,E6: 5.. / E1 = 5  =>  2 pairs (_) / E6 = 5  =>  1 pairs (_)
F1,F6: 5.. / F1 = 5  =>  1 pairs (_) / F6 = 5  =>  2 pairs (_)
F2,D3: 6.. / F2 = 6  =>  1 pairs (_) / D3 = 6  =>  3 pairs (_)
H8,I9: 6.. / H8 = 6  =>  2 pairs (_) / I9 = 6  =>  0 pairs (_)
F5,F6: 7.. / F5 = 7  =>  1 pairs (_) / F6 = 7  =>  1 pairs (_)
B3,G3: 7.. / B3 = 7  =>  1 pairs (_) / G3 = 7  =>  3 pairs (_)
I4,I5: 9.. / I4 = 9  =>  0 pairs (_) / I5 = 9  =>  1 pairs (_)
B8,C8: 9.. / B8 = 9  =>  3 pairs (_) / C8 = 9  =>  0 pairs (_)
E5,I5: 9.. / E5 = 9  =>  0 pairs (_) / I5 = 9  =>  1 pairs (_)
B6,E6: 9.. / B6 = 9  =>  0 pairs (_) / E6 = 9  =>  3 pairs (_)
C4,C8: 9.. / C4 = 9  =>  3 pairs (_) / C8 = 9  =>  0 pairs (_)
* DURATION: 0:00:11.220255  START: 08:20:50.506417  END: 08:21:01.726672 2020-09-23
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B3,G3: 7.. / B3 = 7 ==>  1 pairs (_) / G3 = 7 ==>  3 pairs (_)
F2,D3: 6.. / F2 = 6 ==>  1 pairs (_) / D3 = 6 ==>  3 pairs (_)
C4,C8: 9.. / C4 = 9 ==>  0 pairs (*) / C8 = 9  =>  0 pairs (X)
* DURATION: 0:01:05.653099  START: 08:21:01.727368  END: 08:22:07.380467 2020-09-23
* REASONING B3,G3: 7..
* DIS # G3: 7 # I4: 2,3 => CTR => I4: 4,6,9
* DIS # G3: 7 + I4: 4,6,9 # I5: 3,4 => CTR => I5: 6,7,9
* DIS # G3: 7 + I4: 4,6,9 + I5: 6,7,9 # H6: 3,4 => CTR => H6: 2,6,7
* CNT   3 HDP CHAINS /  66 HYP OPENED
* REASONING C4,C8: 9..
* DIS # C4: 9 # F2: 1,2 => CTR => F2: 6
* PRF # C4: 9 + F2: 6 # D5: 1,3 => SOL
* STA # C4: 9 + F2: 6 + D5: 1,3
* CNT   2 HDP CHAINS /   8 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

2123976;2018_12_01;PAQ;24;11.60;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B3,G3: 7..:

* INC # G3: 7 # B2: 1,6 => UNS
* INC # G3: 7 # C2: 1,6 => UNS
* INC # G3: 7 # A3: 1,6 => UNS
* INC # G3: 7 # D3: 1,6 => UNS
* INC # G3: 7 # D3: 2 => UNS
* INC # G3: 7 # B4: 1,6 => UNS
* INC # G3: 7 # B8: 1,6 => UNS
* INC # G3: 7 # B9: 1,6 => UNS
* INC # G3: 7 # H1: 2,3 => UNS
* INC # G3: 7 # I1: 2,3 => UNS
* INC # G3: 7 # H2: 2,3 => UNS
* INC # G3: 7 # C2: 2,3 => UNS
* INC # G3: 7 # C2: 1,6,7 => UNS
* DIS # G3: 7 # I4: 2,3 => CTR => I4: 4,6,9
* INC # G3: 7 + I4: 4,6,9 # I7: 2,3 => UNS
* INC # G3: 7 + I4: 4,6,9 # I9: 2,3 => UNS
* INC # G3: 7 + I4: 4,6,9 # H1: 2,3 => UNS
* INC # G3: 7 + I4: 4,6,9 # I1: 2,3 => UNS
* INC # G3: 7 + I4: 4,6,9 # H2: 2,3 => UNS
* INC # G3: 7 + I4: 4,6,9 # C2: 2,3 => UNS
* INC # G3: 7 + I4: 4,6,9 # C2: 1,6,7 => UNS
* INC # G3: 7 + I4: 4,6,9 # I7: 2,3 => UNS
* INC # G3: 7 + I4: 4,6,9 # I9: 2,3 => UNS
* INC # G3: 7 + I4: 4,6,9 # H4: 3,4 => UNS
* DIS # G3: 7 + I4: 4,6,9 # I5: 3,4 => CTR => I5: 6,7,9
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 # G6: 3,4 => UNS
* DIS # G3: 7 + I4: 4,6,9 + I5: 6,7,9 # H6: 3,4 => CTR => H6: 2,6,7
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # A5: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # D5: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # G8: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # G9: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # H4: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # G6: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # A5: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # D5: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # G8: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # G9: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # B2: 1,6 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # C2: 1,6 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # A3: 1,6 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # D3: 1,6 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # D3: 2 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # B4: 1,6 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # B8: 1,6 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # B9: 1,6 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # H1: 2,3 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # I1: 2,3 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # H2: 2,3 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # C2: 2,3 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # C2: 1,6,7 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # I7: 2,3 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # I9: 2,3 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # H4: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # G6: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # A5: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # D5: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # G8: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 # G9: 3,4 => UNS
* INC # G3: 7 + I4: 4,6,9 + I5: 6,7,9 + H6: 2,6,7 => UNS
* INC # B3: 7 # H1: 1,2 => UNS
* INC # B3: 7 # H2: 1,2 => UNS
* INC # B3: 7 # A3: 1,2 => UNS
* INC # B3: 7 # D3: 1,2 => UNS
* INC # B3: 7 # G8: 1,2 => UNS
* INC # B3: 7 # G9: 1,2 => UNS
* INC # B3: 7 => UNS
* CNT  66 HDP CHAINS /  66 HYP OPENED

Full list of HDP chains traversed for F2,D3: 6..:

* INC # D3: 6 # C1: 1,2 => UNS
* INC # D3: 6 # C2: 1,2 => UNS
* INC # D3: 6 # G3: 1,2 => UNS
* INC # D3: 6 # G3: 7 => UNS
* INC # D3: 6 # A7: 1,2 => UNS
* INC # D3: 6 # A8: 1,2 => UNS
* INC # D3: 6 # B2: 1,7 => UNS
* INC # D3: 6 # C2: 1,7 => UNS
* INC # D3: 6 # G3: 1,7 => UNS
* INC # D3: 6 # G3: 2 => UNS
* INC # D3: 6 # B8: 1,7 => UNS
* INC # D3: 6 # B8: 3,4,6,9 => UNS
* INC # D3: 6 # E1: 1,2 => UNS
* INC # D3: 6 # F1: 1,2 => UNS
* INC # D3: 6 # C2: 1,2 => UNS
* INC # D3: 6 # H2: 1,2 => UNS
* INC # D3: 6 # F4: 1,2 => UNS
* INC # D3: 6 # F8: 1,2 => UNS
* INC # D3: 6 => UNS
* INC # F2: 6 # E1: 1,2 => UNS
* INC # F2: 6 # F1: 1,2 => UNS
* INC # F2: 6 # A3: 1,2 => UNS
* INC # F2: 6 # G3: 1,2 => UNS
* INC # F2: 6 # D7: 1,2 => UNS
* INC # F2: 6 # D9: 1,2 => UNS
* INC # F2: 6 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for C4,C8: 9..:

* DIS # C4: 9 # F2: 1,2 => CTR => F2: 6
* INC # C4: 9 + F2: 6 # C1: 1,2 => UNS
* INC # C4: 9 + F2: 6 # H1: 1,2 => UNS
* INC # C4: 9 + F2: 6 # F4: 1,2 => UNS
* INC # C4: 9 + F2: 6 # F8: 1,2 => UNS
* INC # C4: 9 + F2: 6 # E4: 1,3 => UNS
* PRF # C4: 9 + F2: 6 # D5: 1,3 => SOL
* STA # C4: 9 + F2: 6 + D5: 1,3
* CNT   7 HDP CHAINS /   8 HYP OPENED