Analysis of xx-ph-02717612-2019_08_1120_160-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..5....8.....7......8.6..94...4.3.......5..67....8..765.....2..4.........1 initial

Autosolve

position: 98.76.5..5....8.....7......8.6..94...4.3.......5..67....8..765.....2..4.........1 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for A5,E5: 7..:

* DIS # E5: 7 # C5: 1,2 => CTR => C5: 9
* DIS # E5: 7 + C5: 9 # H5: 1,2 => CTR => H5: 6,8
* DIS # E5: 7 + C5: 9 + H5: 6,8 # I2: 2,9 => CTR => I2: 3,4,6,7
* DIS # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 # I3: 2,9 => CTR => I3: 3,4,6,8
* PRF # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # A8: 1,3 => SOL
* STA # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 + A8: 1,3
* CNT   5 HDP CHAINS /  59 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

98.76.5..5....8.....7......8.6..94...4.3.......5..67....8..765.....2..4.........1 initial
98.76.5..5....8.....7......8.6..94...4.3.......5..67....8..765.....2..4.........1 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D6,E6: 4.. / D6 = 4  =>  4 pairs (_) / E6 = 4  =>  0 pairs (_)
I4,I5: 5.. / I4 = 5  =>  2 pairs (_) / I5 = 5  =>  2 pairs (_)
B8,B9: 5.. / B8 = 5  =>  1 pairs (_) / B9 = 5  =>  1 pairs (_)
H5,I5: 6.. / H5 = 6  =>  0 pairs (_) / I5 = 6  =>  2 pairs (_)
D8,D9: 6.. / D8 = 6  =>  0 pairs (_) / D9 = 6  =>  0 pairs (_)
H2,I2: 7.. / H2 = 7  =>  0 pairs (_) / I2 = 7  =>  0 pairs (_)
B4,A5: 7.. / B4 = 7  =>  5 pairs (_) / A5 = 7  =>  2 pairs (_)
E4,E5: 7.. / E4 = 7  =>  2 pairs (_) / E5 = 7  =>  5 pairs (_)
I8,H9: 7.. / I8 = 7  =>  0 pairs (_) / H9 = 7  =>  0 pairs (_)
B4,E4: 7.. / B4 = 7  =>  5 pairs (_) / E4 = 7  =>  2 pairs (_)
A5,E5: 7.. / A5 = 7  =>  2 pairs (_) / E5 = 7  =>  5 pairs (_)
H2,H9: 7.. / H2 = 7  =>  0 pairs (_) / H9 = 7  =>  0 pairs (_)
I2,I8: 7.. / I2 = 7  =>  0 pairs (_) / I8 = 7  =>  0 pairs (_)
C5,B6: 9.. / C5 = 9  =>  1 pairs (_) / B6 = 9  =>  1 pairs (_)
* DURATION: 0:00:08.676426  START: 18:10:45.617542  END: 18:10:54.293968 2020-10-15
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A5,E5: 7.. / A5 = 7  =>  0 pairs (X) / E5 = 7 ==>  0 pairs (*)
* DURATION: 0:00:37.995599  START: 18:10:54.294498  END: 18:11:32.290097 2020-10-15
* REASONING A5,E5: 7..
* DIS # E5: 7 # C5: 1,2 => CTR => C5: 9
* DIS # E5: 7 + C5: 9 # H5: 1,2 => CTR => H5: 6,8
* DIS # E5: 7 + C5: 9 + H5: 6,8 # I2: 2,9 => CTR => I2: 3,4,6,7
* DIS # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 # I3: 2,9 => CTR => I3: 3,4,6,8
* PRF # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # A8: 1,3 => SOL
* STA # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 + A8: 1,3
* CNT   5 HDP CHAINS /  59 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

2717612;2019_08_1120_160;PAQ;24;11.50;11.50;9.90

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A5,E5: 7..:

* DIS # E5: 7 # C5: 1,2 => CTR => C5: 9
* INC # E5: 7 + C5: 9 # A6: 1,2 => UNS
* INC # E5: 7 + C5: 9 # B6: 1,2 => UNS
* INC # E5: 7 + C5: 9 # F5: 1,2 => UNS
* INC # E5: 7 + C5: 9 # G5: 1,2 => UNS
* DIS # E5: 7 + C5: 9 # H5: 1,2 => CTR => H5: 6,8
* INC # E5: 7 + C5: 9 + H5: 6,8 # A3: 1,2 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # A7: 1,2 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # A6: 1,2 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # B6: 1,2 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # F5: 1,2 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # G5: 1,2 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # A3: 1,2 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # A7: 1,2 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # D4: 1,5 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # F5: 1,5 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # E3: 1,5 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # E3: 3,4,9 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # D9: 4,8 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # D9: 5,6,9 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # E9: 4,8 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # E9: 3,5,9 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # H6: 2,9 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 # H6: 1 => UNS
* DIS # E5: 7 + C5: 9 + H5: 6,8 # I2: 2,9 => CTR => I2: 3,4,6,7
* DIS # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 # I3: 2,9 => CTR => I3: 3,4,6,8
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # I7: 2,9 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # I7: 2,9 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # I7: 3 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # H6: 2,9 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # H6: 1 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # I7: 2,9 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # I7: 3 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # A6: 1,2 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # B6: 1,2 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # F5: 1,2 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # G5: 1,2 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # A3: 1,2 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # A7: 1,2 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # D4: 1,5 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # F5: 1,5 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # E3: 1,5 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # E3: 3,4,9 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # D9: 4,8 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # D9: 5,6,9 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # E9: 4,8 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # E9: 3,5,9 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # I5: 6,8 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # I5: 2,5 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # H3: 6,8 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # H3: 1,2,3,9 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # H6: 2,9 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # H6: 1 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # I7: 2,9 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # I7: 3 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # A7: 1,3 => UNS
* INC # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # B7: 1,3 => UNS
* PRF # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 # A8: 1,3 => SOL
* STA # E5: 7 + C5: 9 + H5: 6,8 + I2: 3,4,6,7 + I3: 3,4,6,8 + A8: 1,3
* CNT  58 HDP CHAINS /  59 HYP OPENED