Analysis of xx-ph-02716684-2019_08_1120_160-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7.5....9..6.......6.9.7..4....4.9........5..34.65...7..2...7.......6.1.. initial

Autosolve

position: 98.7..6..7.5..6.9..6.......6.9.7..4....4.9......6.59.34.65...7..2...7.......6.1.. autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.171049

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000026

List of important HDP chains detected for B7,B9: 9..:

* DIS # B7: 9 # I9: 2,8 => CTR => I9: 4,5,9
* DIS # B7: 9 + I9: 4,5,9 # I3: 2,8 => CTR => I3: 1,4,5,7
* CNT   2 HDP CHAINS /  31 HYP OPENED

List of important HDP chains detected for C6,C9: 7..:

* PRF # C6: 7 # F9: 3,8 => SOL
* STA # C6: 7 + F9: 3,8
* 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....9..6.......6.9.7..4....4.9........5..34.65...7..2...7.......6.1.. initial
98.7..6..7.5..6.9..6.......6.9.7..4....4.9......6.59.34.65...7..2...7.......6.1.. autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (2)
B6: 4,7
C6: 4,7

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* CONSTRAINT PAIRS (AUTO SOLVE)
B6,C6: 4.. / B6 = 4  =>  3 pairs (_) / C6 = 4  =>  0 pairs (_)
E8,F9: 4.. / E8 = 4  =>  2 pairs (_) / F9 = 4  =>  2 pairs (_)
F9,I9: 4.. / F9 = 4  =>  2 pairs (_) / I9 = 4  =>  2 pairs (_)
B2,B6: 4.. / B2 = 4  =>  0 pairs (_) / B6 = 4  =>  3 pairs (_)
E1,E3: 5.. / E1 = 5  =>  2 pairs (_) / E3 = 5  =>  2 pairs (_)
H5,I5: 6.. / H5 = 6  =>  2 pairs (_) / I5 = 6  =>  2 pairs (_)
H8,I8: 6.. / H8 = 6  =>  2 pairs (_) / I8 = 6  =>  2 pairs (_)
H5,H8: 6.. / H5 = 6  =>  2 pairs (_) / H8 = 6  =>  2 pairs (_)
I5,I8: 6.. / I5 = 6  =>  2 pairs (_) / I8 = 6  =>  2 pairs (_)
G3,I3: 7.. / G3 = 7  =>  2 pairs (_) / I3 = 7  =>  2 pairs (_)
B6,C6: 7.. / B6 = 7  =>  0 pairs (_) / C6 = 7  =>  3 pairs (_)
G5,I5: 7.. / G5 = 7  =>  2 pairs (_) / I5 = 7  =>  2 pairs (_)
B9,C9: 7.. / B9 = 7  =>  3 pairs (_) / C9 = 7  =>  0 pairs (_)
B6,B9: 7.. / B6 = 7  =>  0 pairs (_) / B9 = 7  =>  3 pairs (_)
C6,C9: 7.. / C6 = 7  =>  3 pairs (_) / C9 = 7  =>  0 pairs (_)
G3,G5: 7.. / G3 = 7  =>  2 pairs (_) / G5 = 7  =>  2 pairs (_)
I3,I5: 7.. / I3 = 7  =>  2 pairs (_) / I5 = 7  =>  2 pairs (_)
D3,E3: 9.. / D3 = 9  =>  2 pairs (_) / E3 = 9  =>  2 pairs (_)
B7,B9: 9.. / B7 = 9  =>  3 pairs (_) / B9 = 9  =>  1 pairs (_)
* DURATION: 0:00:14.404762  START: 16:14:46.779325  END: 16:15:01.184087 2020-10-15
* CP COUNT: (19)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B7,B9: 9.. / B7 = 9 ==>  3 pairs (_) / B9 = 9 ==>  1 pairs (_)
C6,C9: 7.. / C6 = 7 ==>  0 pairs (*) / C9 = 7  =>  0 pairs (X)
* DURATION: 0:00:36.608635  START: 16:15:01.915570  END: 16:15:38.524205 2020-10-15
* REASONING B7,B9: 9..
* DIS # B7: 9 # I9: 2,8 => CTR => I9: 4,5,9
* DIS # B7: 9 + I9: 4,5,9 # I3: 2,8 => CTR => I3: 1,4,5,7
* CNT   2 HDP CHAINS /  31 HYP OPENED
* REASONING C6,C9: 7..
* PRF # C6: 7 # F9: 3,8 => SOL
* STA # C6: 7 + F9: 3,8
* CNT   1 HDP CHAINS /  13 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

2716684;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 B7,B9: 9..:

* INC # B7: 9 # G7: 2,8 => UNS
* INC # B7: 9 # H9: 2,8 => UNS
* DIS # B7: 9 # I9: 2,8 => CTR => I9: 4,5,9
* INC # B7: 9 + I9: 4,5,9 # E7: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 # F7: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 # I2: 2,8 => UNS
* DIS # B7: 9 + I9: 4,5,9 # I3: 2,8 => CTR => I3: 1,4,5,7
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # I4: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # I5: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # G7: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # H9: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # E7: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # F7: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # I2: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # I4: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # I5: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # G7: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # H9: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # E7: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # F7: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # I2: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # I4: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 # I5: 2,8 => UNS
* INC # B7: 9 + I9: 4,5,9 + I3: 1,4,5,7 => UNS
* INC # B9: 9 # A8: 1,3 => UNS
* INC # B9: 9 # C8: 1,3 => UNS
* INC # B9: 9 # E7: 1,3 => UNS
* INC # B9: 9 # F7: 1,3 => UNS
* INC # B9: 9 # B4: 1,3 => UNS
* INC # B9: 9 # B5: 1,3 => UNS
* INC # B9: 9 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for C6,C9: 7..:

* INC # C6: 7 # C1: 1,3 => UNS
* INC # C6: 7 # A3: 1,3 => UNS
* INC # C6: 7 # C3: 1,3 => UNS
* INC # C6: 7 # D2: 1,3 => UNS
* INC # C6: 7 # E2: 1,3 => UNS
* INC # C6: 7 # B4: 1,3 => UNS
* INC # C6: 7 # B5: 1,3 => UNS
* INC # C6: 7 # A8: 3,8 => UNS
* INC # C6: 7 # C8: 3,8 => UNS
* INC # C6: 7 # A9: 3,8 => UNS
* INC # C6: 7 # D9: 3,8 => UNS
* PRF # C6: 7 # F9: 3,8 => SOL
* STA # C6: 7 + F9: 3,8
* CNT  12 HDP CHAINS /  13 HYP OPENED