Analysis of xx-ph-02488880-2019_08_05_a-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....54....7.......5.987.........5...9..4...57..3.4....7.89.9.2..3......9.1.. initial

Autosolve

position: 98.76....54.9..7.......5.987.........5...9.74...57..3.4....7.89.9.2..3......9.1.. autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.207579

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000019

List of important HDP chains detected for E7,E8: 5..:

* DIS # E7: 5 # G6: 2,6 => CTR => G6: 8,9
* CNT   1 HDP CHAINS /  42 HYP OPENED

List of important HDP chains detected for C6,G6: 9..:

* DIS # C6: 9 # B7: 1,3 => CTR => B7: 2,6
* PRF # C6: 9 + B7: 2,6 # C3: 1,3 => SOL
* STA # C6: 9 + B7: 2,6 + C3: 1,3
* CNT   2 HDP CHAINS /  42 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....54....7.......5.987.........5...9..4...57..3.4....7.89.9.2..3......9.1.. initial
98.76....54.9..7.......5.987.........5...9.74...57..3.4....7.89.9.2..3......9.1.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* PAIRS (2)
C4: 4,9
C6: 4,9

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I1,I2: 3.. / I1 = 3  =>  3 pairs (_) / I2 = 3  =>  2 pairs (_)
G1,G3: 4.. / G1 = 4  =>  3 pairs (_) / G3 = 4  =>  2 pairs (_)
C4,C6: 4.. / C4 = 4  =>  5 pairs (_) / C6 = 4  =>  0 pairs (_)
H8,H9: 4.. / H8 = 4  =>  2 pairs (_) / H9 = 4  =>  3 pairs (_)
F1,G1: 4.. / F1 = 4  =>  2 pairs (_) / G1 = 4  =>  3 pairs (_)
C6,F6: 4.. / C6 = 4  =>  0 pairs (_) / F6 = 4  =>  5 pairs (_)
E7,E8: 5.. / E7 = 5  =>  3 pairs (_) / E8 = 5  =>  5 pairs (_)
B3,C3: 7.. / B3 = 7  =>  2 pairs (_) / C3 = 7  =>  2 pairs (_)
I8,I9: 7.. / I8 = 7  =>  2 pairs (_) / I9 = 7  =>  3 pairs (_)
C8,I8: 7.. / C8 = 7  =>  3 pairs (_) / I8 = 7  =>  2 pairs (_)
B3,B9: 7.. / B3 = 7  =>  2 pairs (_) / B9 = 7  =>  2 pairs (_)
E2,F2: 8.. / E2 = 8  =>  2 pairs (_) / F2 = 8  =>  2 pairs (_)
C4,C6: 9.. / C4 = 9  =>  0 pairs (_) / C6 = 9  =>  5 pairs (_)
G4,G6: 9.. / G4 = 9  =>  5 pairs (_) / G6 = 9  =>  0 pairs (_)
C4,G4: 9.. / C4 = 9  =>  0 pairs (_) / G4 = 9  =>  5 pairs (_)
C6,G6: 9.. / C6 = 9  =>  5 pairs (_) / G6 = 9  =>  0 pairs (_)
* DURATION: 0:00:16.353106  START: 13:23:08.692534  END: 13:23:25.045640 2020-11-17
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E7,E8: 5.. / E7 = 5 ==>  4 pairs (_) / E8 = 5 ==>  5 pairs (_)
C6,G6: 9.. / C6 = 9 ==>  0 pairs (*) / G6 = 9  =>  0 pairs (X)
* DURATION: 0:01:15.835711  START: 13:23:25.900313  END: 13:24:41.736024 2020-11-17
* REASONING E7,E8: 5..
* DIS # E7: 5 # G6: 2,6 => CTR => G6: 8,9
* CNT   1 HDP CHAINS /  42 HYP OPENED
* REASONING C6,G6: 9..
* DIS # C6: 9 # B7: 1,3 => CTR => B7: 2,6
* PRF # C6: 9 + B7: 2,6 # C3: 1,3 => SOL
* STA # C6: 9 + B7: 2,6 + C3: 1,3
* CNT   2 HDP CHAINS /  42 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

2488880;2019_08_05_a;PAQ;26;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E7,E8: 5..:

* INC # E8: 5 # D7: 1,3 => UNS
* INC # E8: 5 # D7: 6 => UNS
* INC # E8: 5 # B7: 1,3 => UNS
* INC # E8: 5 # C7: 1,3 => UNS
* INC # E8: 5 # E2: 1,3 => UNS
* INC # E8: 5 # E3: 1,3 => UNS
* INC # E8: 5 # E4: 1,3 => UNS
* INC # E8: 5 # E5: 1,3 => UNS
* INC # E8: 5 # H9: 4,6 => UNS
* INC # E8: 5 # H9: 2,5 => UNS
* INC # E8: 5 # F8: 4,6 => UNS
* INC # E8: 5 # F8: 1,8 => UNS
* INC # E8: 5 # I9: 6,7 => UNS
* INC # E8: 5 # I9: 2,5 => UNS
* INC # E8: 5 # C8: 6,7 => UNS
* INC # E8: 5 # C8: 1,8 => UNS
* INC # E8: 5 => UNS
* INC # E7: 5 # H9: 2,6 => UNS
* INC # E7: 5 # I9: 2,6 => UNS
* INC # E7: 5 # B7: 2,6 => UNS
* INC # E7: 5 # C7: 2,6 => UNS
* INC # E7: 5 # G3: 2,6 => UNS
* INC # E7: 5 # G4: 2,6 => UNS
* INC # E7: 5 # G5: 2,6 => UNS
* DIS # E7: 5 # G6: 2,6 => CTR => G6: 8,9
* INC # E7: 5 + G6: 8,9 # H9: 2,6 => UNS
* INC # E7: 5 + G6: 8,9 # I9: 2,6 => UNS
* INC # E7: 5 + G6: 8,9 # B7: 2,6 => UNS
* INC # E7: 5 + G6: 8,9 # C7: 2,6 => UNS
* INC # E7: 5 + G6: 8,9 # G3: 2,6 => UNS
* INC # E7: 5 + G6: 8,9 # G4: 2,6 => UNS
* INC # E7: 5 + G6: 8,9 # G5: 2,6 => UNS
* INC # E7: 5 + G6: 8,9 # G4: 8,9 => UNS
* INC # E7: 5 + G6: 8,9 # G4: 2,5,6 => UNS
* INC # E7: 5 + G6: 8,9 # H9: 2,6 => UNS
* INC # E7: 5 + G6: 8,9 # I9: 2,6 => UNS
* INC # E7: 5 + G6: 8,9 # B7: 2,6 => UNS
* INC # E7: 5 + G6: 8,9 # C7: 2,6 => UNS
* INC # E7: 5 + G6: 8,9 # G3: 2,6 => UNS
* INC # E7: 5 + G6: 8,9 # G4: 2,6 => UNS
* INC # E7: 5 + G6: 8,9 # G5: 2,6 => UNS
* INC # E7: 5 + G6: 8,9 => UNS
* CNT  42 HDP CHAINS /  42 HYP OPENED

Full list of HDP chains traversed for C6,G6: 9..:

* INC # C6: 9 # F1: 1,3 => UNS
* INC # C6: 9 # F2: 1,3 => UNS
* INC # C6: 9 # A3: 1,3 => UNS
* INC # C6: 9 # B3: 1,3 => UNS
* INC # C6: 9 # C3: 1,3 => UNS
* INC # C6: 9 # D5: 1,3 => UNS
* INC # C6: 9 # D7: 1,3 => UNS
* INC # C6: 9 # H2: 2,6 => UNS
* INC # C6: 9 # I2: 2,6 => UNS
* INC # C6: 9 # A3: 2,6 => UNS
* INC # C6: 9 # B3: 2,6 => UNS
* INC # C6: 9 # C3: 2,6 => UNS
* INC # C6: 9 # G5: 2,6 => UNS
* INC # C6: 9 # G6: 2,6 => UNS
* INC # C6: 9 # D7: 1,3 => UNS
* INC # C6: 9 # D7: 6 => UNS
* DIS # C6: 9 # B7: 1,3 => CTR => B7: 2,6
* INC # C6: 9 + B7: 2,6 # C7: 1,3 => UNS
* INC # C6: 9 + B7: 2,6 # C7: 1,3 => UNS
* INC # C6: 9 + B7: 2,6 # C7: 2,6 => UNS
* INC # C6: 9 + B7: 2,6 # E4: 1,3 => UNS
* INC # C6: 9 + B7: 2,6 # E5: 1,3 => UNS
* INC # C6: 9 + B7: 2,6 # D7: 1,3 => UNS
* INC # C6: 9 + B7: 2,6 # D7: 6 => UNS
* INC # C6: 9 + B7: 2,6 # C7: 1,3 => UNS
* INC # C6: 9 + B7: 2,6 # C7: 2,6 => UNS
* INC # C6: 9 + B7: 2,6 # E4: 1,3 => UNS
* INC # C6: 9 + B7: 2,6 # E5: 1,3 => UNS
* INC # C6: 9 + B7: 2,6 # I9: 6,7 => UNS
* INC # C6: 9 + B7: 2,6 # I9: 2 => UNS
* INC # C6: 9 + B7: 2,6 # C8: 6,7 => UNS
* INC # C6: 9 + B7: 2,6 # C8: 1,8 => UNS
* INC # C6: 9 + B7: 2,6 # I9: 2,6 => UNS
* INC # C6: 9 + B7: 2,6 # I9: 7 => UNS
* INC # C6: 9 + B7: 2,6 # H2: 2,6 => UNS
* INC # C6: 9 + B7: 2,6 # H4: 2,6 => UNS
* INC # C6: 9 + B7: 2,6 # F1: 1,3 => UNS
* INC # C6: 9 + B7: 2,6 # F2: 1,3 => UNS
* INC # C6: 9 + B7: 2,6 # A3: 1,3 => UNS
* INC # C6: 9 + B7: 2,6 # B3: 1,3 => UNS
* PRF # C6: 9 + B7: 2,6 # C3: 1,3 => SOL
* STA # C6: 9 + B7: 2,6 + C3: 1,3
* CNT  41 HDP CHAINS /  42 HYP OPENED