Analysis of xx-ph-02488136-2019_08_05_a-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7..6..5...6..84...6..5..9......3..2..........1....7.95.7....1....91...6. initial

Autosolve

position: 98.7..6..7..6..5...6..84...6..5..9......3..2........5.1....7.95.7....1....91...6. autosolve
Autosolve

Pair Reduction Variants

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 D3,I3: 9..:

* DIS # D3: 9 # I8: 3,4 => CTR => I8: 2,8
* DIS # D3: 9 + I8: 2,8 # C8: 3,4 => CTR => C8: 2,5,6,8
* DIS # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # I9: 2,8 => CTR => I9: 3,4,7
* PRF # D3: 9 + I8: 2,8 + C8: 2,5,6,8 + I9: 3,4,7 # C8: 2,8 => SOL
* STA # D3: 9 + I8: 2,8 + C8: 2,5,6,8 + I9: 3,4,7 + C8: 2,8
* CNT   4 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

98.7..6..7..6..5...6..84...6..5..9......3..2..........1....7.95.7....1....91...6. initial
98.7..6..7..6..5...6..84...6..5..9......3..2........5.1....7.95.7....1....91...6. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A3,C3: 5.. / A3 = 5  =>  1 pairs (_) / C3 = 5  =>  4 pairs (_)
E1,F1: 5.. / E1 = 5  =>  1 pairs (_) / F1 = 5  =>  1 pairs (_)
B5,B9: 5.. / B5 = 5  =>  1 pairs (_) / B9 = 5  =>  1 pairs (_)
I5,I6: 6.. / I5 = 6  =>  0 pairs (_) / I6 = 6  =>  0 pairs (_)
C7,C8: 6.. / C7 = 6  =>  1 pairs (_) / C8 = 6  =>  0 pairs (_)
F5,I5: 6.. / F5 = 6  =>  0 pairs (_) / I5 = 6  =>  0 pairs (_)
C7,E7: 6.. / C7 = 6  =>  1 pairs (_) / E7 = 6  =>  0 pairs (_)
E4,E6: 7.. / E4 = 7  =>  1 pairs (_) / E6 = 7  =>  0 pairs (_)
G9,I9: 7.. / G9 = 7  =>  2 pairs (_) / I9 = 7  =>  0 pairs (_)
H3,H4: 7.. / H3 = 7  =>  1 pairs (_) / H4 = 7  =>  2 pairs (_)
H2,I2: 8.. / H2 = 8  =>  1 pairs (_) / I2 = 8  =>  1 pairs (_)
I2,I3: 9.. / I2 = 9  =>  3 pairs (_) / I3 = 9  =>  1 pairs (_)
B5,B6: 9.. / B5 = 9  =>  2 pairs (_) / B6 = 9  =>  0 pairs (_)
D3,I3: 9.. / D3 = 9  =>  3 pairs (_) / I3 = 9  =>  1 pairs (_)
* DURATION: 0:00:09.323011  START: 23:26:13.900389  END: 23:26:23.223400 2020-11-15
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A3,C3: 5.. / A3 = 5 ==>  1 pairs (_) / C3 = 5 ==>  4 pairs (_)
D3,I3: 9.. / D3 = 9 ==>  0 pairs (*) / I3 = 9  =>  0 pairs (X)
* DURATION: 0:00:57.804936  START: 23:26:23.224100  END: 23:27:21.029036 2020-11-15
* REASONING D3,I3: 9..
* DIS # D3: 9 # I8: 3,4 => CTR => I8: 2,8
* DIS # D3: 9 + I8: 2,8 # C8: 3,4 => CTR => C8: 2,5,6,8
* DIS # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # I9: 2,8 => CTR => I9: 3,4,7
* PRF # D3: 9 + I8: 2,8 + C8: 2,5,6,8 + I9: 3,4,7 # C8: 2,8 => SOL
* STA # D3: 9 + I8: 2,8 + C8: 2,5,6,8 + I9: 3,4,7 + C8: 2,8
* CNT   4 HDP CHAINS /  59 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

2488136;2019_08_05_a;PAQ;24;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A3,C3: 5..:

* INC # C3: 5 # C1: 2,3 => UNS
* INC # C3: 5 # B2: 2,3 => UNS
* INC # C3: 5 # C2: 2,3 => UNS
* INC # C3: 5 # D3: 2,3 => UNS
* INC # C3: 5 # G3: 2,3 => UNS
* INC # C3: 5 # I3: 2,3 => UNS
* INC # C3: 5 # A6: 2,3 => UNS
* INC # C3: 5 # A8: 2,3 => UNS
* INC # C3: 5 # A9: 2,3 => UNS
* INC # C3: 5 # I1: 3,4 => UNS
* INC # C3: 5 # H2: 3,4 => UNS
* INC # C3: 5 # I2: 3,4 => UNS
* INC # C3: 5 # C1: 3,4 => UNS
* INC # C3: 5 # C1: 1,2 => UNS
* INC # C3: 5 # H8: 3,4 => UNS
* INC # C3: 5 # H8: 8 => UNS
* INC # C3: 5 # I3: 1,7 => UNS
* INC # C3: 5 # I3: 2,3,9 => UNS
* INC # C3: 5 # I4: 1,7 => UNS
* INC # C3: 5 # I5: 1,7 => UNS
* INC # C3: 5 # I6: 1,7 => UNS
* INC # C3: 5 # C4: 1,7 => UNS
* INC # C3: 5 # E4: 1,7 => UNS
* INC # C3: 5 => UNS
* INC # A3: 5 # C4: 4,8 => UNS
* INC # A3: 5 # C5: 4,8 => UNS
* INC # A3: 5 # A6: 4,8 => UNS
* INC # A3: 5 # C6: 4,8 => UNS
* INC # A3: 5 # D5: 4,8 => UNS
* INC # A3: 5 # G5: 4,8 => UNS
* INC # A3: 5 # I5: 4,8 => UNS
* INC # A3: 5 # A8: 4,8 => UNS
* INC # A3: 5 # A9: 4,8 => UNS
* INC # A3: 5 => UNS
* CNT  34 HDP CHAINS /  34 HYP OPENED

Full list of HDP chains traversed for D3,I3: 9..:

* INC # D3: 9 # E1: 1,2 => UNS
* INC # D3: 9 # F1: 1,2 => UNS
* INC # D3: 9 # F2: 1,2 => UNS
* INC # D3: 9 # B2: 1,2 => UNS
* INC # D3: 9 # C2: 1,2 => UNS
* INC # D3: 9 # E4: 1,2 => UNS
* INC # D3: 9 # E6: 1,2 => UNS
* INC # D3: 9 # D6: 4,8 => UNS
* INC # D3: 9 # D6: 2 => UNS
* INC # D3: 9 # A5: 4,8 => UNS
* INC # D3: 9 # C5: 4,8 => UNS
* INC # D3: 9 # G5: 4,8 => UNS
* INC # D3: 9 # I5: 4,8 => UNS
* INC # D3: 9 # D7: 4,8 => UNS
* INC # D3: 9 # D8: 4,8 => UNS
* INC # D3: 9 # G7: 3,4 => UNS
* DIS # D3: 9 # I8: 3,4 => CTR => I8: 2,8
* INC # D3: 9 + I8: 2,8 # G9: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 # I9: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 # A8: 3,4 => UNS
* DIS # D3: 9 + I8: 2,8 # C8: 3,4 => CTR => C8: 2,5,6,8
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # D8: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # H1: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # H4: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # G7: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # G9: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # I9: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # A8: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # D8: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # H1: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # H4: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # E1: 1,2 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # F1: 1,2 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # F2: 1,2 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # B2: 1,2 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # C2: 1,2 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # E4: 1,2 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # E6: 1,2 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # D6: 4,8 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # D6: 2 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # A5: 4,8 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # C5: 4,8 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # G5: 4,8 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # I5: 4,8 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # D7: 4,8 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # D8: 4,8 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # G7: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # G9: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # I9: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # A8: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # D8: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # H1: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # H4: 3,4 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # G7: 2,8 => UNS
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # G9: 2,8 => UNS
* DIS # D3: 9 + I8: 2,8 + C8: 2,5,6,8 # I9: 2,8 => CTR => I9: 3,4,7
* INC # D3: 9 + I8: 2,8 + C8: 2,5,6,8 + I9: 3,4,7 # A8: 2,8 => UNS
* PRF # D3: 9 + I8: 2,8 + C8: 2,5,6,8 + I9: 3,4,7 # C8: 2,8 => SOL
* STA # D3: 9 + I8: 2,8 + C8: 2,5,6,8 + I9: 3,4,7 + C8: 2,8
* CNT  58 HDP CHAINS /  59 HYP OPENED