Analysis of xx-ph-02716703-2019_08_1120_160-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7.5.6..9..........67.4....9.....38........74.46.9...8...2...9......1...6 initial

Autosolve

position: 98.7..6..7.5.6..9...6......67.4....9....7386.......74.46.9...8...2...9......1...6 autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.163102

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000012

List of important HDP chains detected for C7,C9: 7..:

* DIS # C7: 7 # F9: 2,5 => CTR => F9: 4,7,8
* DIS # C7: 7 + F9: 4,7,8 # F3: 2,5 => CTR => F3: 1,4,8,9
* CNT   2 HDP CHAINS /  31 HYP OPENED

List of important HDP chains detected for C5,C9: 9..:

* PRF # C9: 9 # G9: 3,5 => SOL
* STA # C9: 9 + G9: 3,5
* CNT   1 HDP CHAINS /  13 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..7.5.6..9..........67.4....9.....38........74.46.9...8...2...9......1...6 initial
98.7..6..7.5.6..9...6......67.4....9....7386.......74.46.9...8...2...9......1...6 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
B5: 4,9
C5: 4,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
B5,C5: 4.. / B5 = 4  =>  0 pairs (_) / C5 = 4  =>  3 pairs (_)
I8,G9: 4.. / I8 = 4  =>  2 pairs (_) / G9 = 4  =>  2 pairs (_)
F9,G9: 4.. / F9 = 4  =>  2 pairs (_) / G9 = 4  =>  2 pairs (_)
C1,C5: 4.. / C1 = 4  =>  0 pairs (_) / C5 = 4  =>  3 pairs (_)
D6,F6: 6.. / D6 = 6  =>  2 pairs (_) / F6 = 6  =>  2 pairs (_)
D8,F8: 6.. / D8 = 6  =>  2 pairs (_) / F8 = 6  =>  2 pairs (_)
D6,D8: 6.. / D6 = 6  =>  2 pairs (_) / D8 = 6  =>  2 pairs (_)
F6,F8: 6.. / F6 = 6  =>  2 pairs (_) / F8 = 6  =>  2 pairs (_)
H3,I3: 7.. / H3 = 7  =>  2 pairs (_) / I3 = 7  =>  2 pairs (_)
C7,C9: 7.. / C7 = 7  =>  3 pairs (_) / C9 = 7  =>  1 pairs (_)
I2,I3: 8.. / I2 = 8  =>  2 pairs (_) / I3 = 8  =>  2 pairs (_)
E3,F3: 9.. / E3 = 9  =>  2 pairs (_) / F3 = 9  =>  2 pairs (_)
B5,C5: 9.. / B5 = 9  =>  3 pairs (_) / C5 = 9  =>  0 pairs (_)
E6,F6: 9.. / E6 = 9  =>  2 pairs (_) / F6 = 9  =>  2 pairs (_)
B9,C9: 9.. / B9 = 9  =>  0 pairs (_) / C9 = 9  =>  3 pairs (_)
B5,B9: 9.. / B5 = 9  =>  3 pairs (_) / B9 = 9  =>  0 pairs (_)
C5,C9: 9.. / C5 = 9  =>  0 pairs (_) / C9 = 9  =>  3 pairs (_)
E3,E6: 9.. / E3 = 9  =>  2 pairs (_) / E6 = 9  =>  2 pairs (_)
F3,F6: 9.. / F3 = 9  =>  2 pairs (_) / F6 = 9  =>  2 pairs (_)
* DURATION: 0:00:14.485619  START: 16:26:38.002892  END: 16:26:52.488511 2020-10-15
* CP COUNT: (19)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C7,C9: 7.. / C7 = 7 ==>  3 pairs (_) / C9 = 7 ==>  1 pairs (_)
C5,C9: 9.. / C5 = 9  =>  0 pairs (X) / C9 = 9 ==>  0 pairs (*)
* DURATION: 0:00:37.109039  START: 16:26:53.229315  END: 16:27:30.338354 2020-10-15
* REASONING C7,C9: 7..
* DIS # C7: 7 # F9: 2,5 => CTR => F9: 4,7,8
* DIS # C7: 7 + F9: 4,7,8 # F3: 2,5 => CTR => F3: 1,4,8,9
* CNT   2 HDP CHAINS /  31 HYP OPENED
* REASONING C5,C9: 9..
* PRF # C9: 9 # G9: 3,5 => SOL
* STA # C9: 9 + G9: 3,5
* CNT   1 HDP CHAINS /  13 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

2716703;2019_08_1120_160;PAQ;24;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C7,C9: 7..:

* INC # C7: 7 # E7: 2,5 => UNS
* INC # C7: 7 # D9: 2,5 => UNS
* DIS # C7: 7 # F9: 2,5 => CTR => F9: 4,7,8
* INC # C7: 7 + F9: 4,7,8 # G7: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 # I7: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 # F1: 2,5 => UNS
* DIS # C7: 7 + F9: 4,7,8 # F3: 2,5 => CTR => F3: 1,4,8,9
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # F4: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # F6: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # E7: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # D9: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # G7: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # I7: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # F1: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # F4: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # F6: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # E7: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # D9: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # G7: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # I7: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # F1: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # F4: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 # F6: 2,5 => UNS
* INC # C7: 7 + F9: 4,7,8 + F3: 1,4,8,9 => UNS
* INC # C9: 7 # A8: 1,3 => UNS
* INC # C9: 7 # B8: 1,3 => UNS
* INC # C9: 7 # G7: 1,3 => UNS
* INC # C9: 7 # I7: 1,3 => UNS
* INC # C9: 7 # C4: 1,3 => UNS
* INC # C9: 7 # C6: 1,3 => UNS
* INC # C9: 7 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for C5,C9: 9..:

* INC # C9: 9 # B2: 1,3 => UNS
* INC # C9: 9 # A3: 1,3 => UNS
* INC # C9: 9 # B3: 1,3 => UNS
* INC # C9: 9 # H1: 1,3 => UNS
* INC # C9: 9 # I1: 1,3 => UNS
* INC # C9: 9 # C4: 1,3 => UNS
* INC # C9: 9 # C6: 1,3 => UNS
* INC # C9: 9 # A8: 3,5 => UNS
* INC # C9: 9 # B8: 3,5 => UNS
* INC # C9: 9 # A9: 3,5 => UNS
* INC # C9: 9 # D9: 3,5 => UNS
* PRF # C9: 9 # G9: 3,5 => SOL
* STA # C9: 9 + G9: 3,5
* CNT  12 HDP CHAINS /  13 HYP OPENED