Analysis of xx-ph-02320106-2019_03_16-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..5......8..4....7..8.........9.5..6......96.3.2...4.....7...54.....97...1 initial

Autosolve

position: 98.76.5..5.7....8..4..5.7..8.........9.5..6......96.3.2...4.....7...54.....97...1 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for A9,C9: 4..:

* DIS # C9: 4 # C6: 1,2 => CTR => C6: 5
* CNT   1 HDP CHAINS /  54 HYP OPENED

List of important HDP chains detected for D7,D8: 6..:

* DIS # D8: 6 # C7: 1,3 => CTR => C7: 5,6,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED

List of important HDP chains detected for E5,E8: 8..:

* DIS # E8: 8 # F2: 1,3 => CTR => F2: 2,4,9
* PRF # E8: 8 + F2: 2,4,9 # F4: 1,3 => SOL
* STA # E8: 8 + F2: 2,4,9 + F4: 1,3
* CNT   2 HDP CHAINS /   9 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..4....7..8.........9.5..6......96.3.2...4.....7...54.....97...1 initial
98.76.5..5.7....8..4..5.7..8.........9.5..6......96.3.2...4.....7...54.....97...1 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A9,C9: 4.. / A9 = 4  =>  1 pairs (_) / C9 = 4  =>  6 pairs (_)
B4,C4: 6.. / B4 = 6  =>  1 pairs (_) / C4 = 6  =>  0 pairs (_)
D7,D8: 6.. / D7 = 6  =>  0 pairs (_) / D8 = 6  =>  3 pairs (_)
B2,I2: 6.. / B2 = 6  =>  2 pairs (_) / I2 = 6  =>  0 pairs (_)
A5,A6: 7.. / A5 = 7  =>  1 pairs (_) / A6 = 7  =>  0 pairs (_)
F4,F5: 7.. / F4 = 7  =>  0 pairs (_) / F5 = 7  =>  0 pairs (_)
H7,I7: 7.. / H7 = 7  =>  0 pairs (_) / I7 = 7  =>  0 pairs (_)
A6,I6: 7.. / A6 = 7  =>  0 pairs (_) / I6 = 7  =>  1 pairs (_)
D3,F3: 8.. / D3 = 8  =>  0 pairs (_) / F3 = 8  =>  2 pairs (_)
E5,E8: 8.. / E5 = 8  =>  0 pairs (_) / E8 = 8  =>  2 pairs (_)
F2,F3: 9.. / F2 = 9  =>  0 pairs (_) / F3 = 9  =>  0 pairs (_)
C7,C8: 9.. / C7 = 9  =>  1 pairs (_) / C8 = 9  =>  1 pairs (_)
* DURATION: 0:00:07.549404  START: 15:38:54.918718  END: 15:39:02.468122 2020-11-10
* CP COUNT: (12)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A9,C9: 4.. / A9 = 4 ==>  1 pairs (_) / C9 = 4 ==>  6 pairs (_)
D7,D8: 6.. / D7 = 6 ==>  0 pairs (_) / D8 = 6 ==>  3 pairs (_)
E5,E8: 8.. / E5 = 8  =>  0 pairs (X) / E8 = 8 ==>  0 pairs (*)
* DURATION: 0:00:55.868654  START: 15:39:02.468675  END: 15:39:58.337329 2020-11-10
* REASONING A9,C9: 4..
* DIS # C9: 4 # C6: 1,2 => CTR => C6: 5
* CNT   1 HDP CHAINS /  54 HYP OPENED
* REASONING D7,D8: 6..
* DIS # D8: 6 # C7: 1,3 => CTR => C7: 5,6,8,9
* CNT   1 HDP CHAINS /  37 HYP OPENED
* REASONING E5,E8: 8..
* DIS # E8: 8 # F2: 1,3 => CTR => F2: 2,4,9
* PRF # E8: 8 + F2: 2,4,9 # F4: 1,3 => SOL
* STA # E8: 8 + F2: 2,4,9 + F4: 1,3
* CNT   2 HDP CHAINS /   9 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

2320106;2019_03_16;PAQ;24;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A9,C9: 4..:

* INC # C9: 4 # F5: 4,7 => UNS
* INC # C9: 4 # H5: 4,7 => UNS
* INC # C9: 4 # I5: 4,7 => UNS
* INC # C9: 4 # I6: 4,7 => UNS
* INC # C9: 4 # I6: 2,5,8 => UNS
* INC # C9: 4 # B4: 1,2 => UNS
* INC # C9: 4 # C4: 1,2 => UNS
* INC # C9: 4 # C5: 1,2 => UNS
* DIS # C9: 4 # C6: 1,2 => CTR => C6: 5
* INC # C9: 4 + C6: 5 # D6: 1,2 => UNS
* INC # C9: 4 + C6: 5 # G6: 1,2 => UNS
* INC # C9: 4 + C6: 5 # B2: 1,2 => UNS
* INC # C9: 4 + C6: 5 # B2: 3,6 => UNS
* INC # C9: 4 + C6: 5 # B4: 1,2 => UNS
* INC # C9: 4 + C6: 5 # C4: 1,2 => UNS
* INC # C9: 4 + C6: 5 # C5: 1,2 => UNS
* INC # C9: 4 + C6: 5 # D6: 1,2 => UNS
* INC # C9: 4 + C6: 5 # G6: 1,2 => UNS
* INC # C9: 4 + C6: 5 # B2: 1,2 => UNS
* INC # C9: 4 + C6: 5 # B2: 3,6 => UNS
* INC # C9: 4 + C6: 5 # G7: 8,9 => UNS
* INC # C9: 4 + C6: 5 # I7: 8,9 => UNS
* INC # C9: 4 + C6: 5 # I8: 8,9 => UNS
* INC # C9: 4 + C6: 5 # I8: 2,3,6 => UNS
* INC # C9: 4 + C6: 5 # B7: 3,6 => UNS
* INC # C9: 4 + C6: 5 # A8: 3,6 => UNS
* INC # C9: 4 + C6: 5 # B9: 3,6 => UNS
* INC # C9: 4 + C6: 5 # A3: 3,6 => UNS
* INC # C9: 4 + C6: 5 # A3: 1 => UNS
* INC # C9: 4 + C6: 5 # F5: 4,7 => UNS
* INC # C9: 4 + C6: 5 # H5: 4,7 => UNS
* INC # C9: 4 + C6: 5 # I5: 4,7 => UNS
* INC # C9: 4 + C6: 5 # I6: 4,7 => UNS
* INC # C9: 4 + C6: 5 # I6: 2,8 => UNS
* INC # C9: 4 + C6: 5 # B4: 1,2 => UNS
* INC # C9: 4 + C6: 5 # C4: 1,2 => UNS
* INC # C9: 4 + C6: 5 # C5: 1,2 => UNS
* INC # C9: 4 + C6: 5 # D6: 1,2 => UNS
* INC # C9: 4 + C6: 5 # G6: 1,2 => UNS
* INC # C9: 4 + C6: 5 # B2: 1,2 => UNS
* INC # C9: 4 + C6: 5 # B2: 3,6 => UNS
* INC # C9: 4 + C6: 5 # G7: 8,9 => UNS
* INC # C9: 4 + C6: 5 # I7: 8,9 => UNS
* INC # C9: 4 + C6: 5 # I8: 8,9 => UNS
* INC # C9: 4 + C6: 5 # I8: 2,3,6 => UNS
* INC # C9: 4 + C6: 5 # B7: 3,6 => UNS
* INC # C9: 4 + C6: 5 # A8: 3,6 => UNS
* INC # C9: 4 + C6: 5 # B9: 3,6 => UNS
* INC # C9: 4 + C6: 5 # A3: 3,6 => UNS
* INC # C9: 4 + C6: 5 # A3: 1 => UNS
* INC # C9: 4 + C6: 5 => UNS
* INC # A9: 4 # A5: 1,7 => UNS
* INC # A9: 4 # A5: 3 => UNS
* INC # A9: 4 => UNS
* CNT  54 HDP CHAINS /  54 HYP OPENED

Full list of HDP chains traversed for D7,D8: 6..:

* INC # D8: 6 # B7: 1,3 => UNS
* DIS # D8: 6 # C7: 1,3 => CTR => C7: 5,6,8,9
* INC # D8: 6 + C7: 5,6,8,9 # C8: 1,3 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # E8: 1,3 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # E8: 2,8 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # A3: 1,3 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # A5: 1,3 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # B7: 1,3 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # C8: 1,3 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # E8: 1,3 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # E8: 2,8 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # A3: 1,3 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # A5: 1,3 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # I8: 2,9 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # I8: 3,8 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # H3: 2,9 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # H4: 2,9 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # H7: 5,6 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # I7: 5,6 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # B9: 5,6 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # C9: 5,6 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # B7: 1,3 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # C8: 1,3 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # E8: 1,3 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # E8: 2,8 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # A3: 1,3 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # A5: 1,3 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # I8: 2,9 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # I8: 3,8 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # H3: 2,9 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # H4: 2,9 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # H7: 5,6 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # I7: 5,6 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # B9: 5,6 => UNS
* INC # D8: 6 + C7: 5,6,8,9 # C9: 5,6 => UNS
* INC # D8: 6 + C7: 5,6,8,9 => UNS
* INC # D7: 6 => UNS
* CNT  37 HDP CHAINS /  37 HYP OPENED

Full list of HDP chains traversed for E5,E8: 8..:

* INC # E8: 8 # D7: 1,3 => UNS
* INC # E8: 8 # D8: 1,3 => UNS
* INC # E8: 8 # B7: 1,3 => UNS
* INC # E8: 8 # C7: 1,3 => UNS
* INC # E8: 8 # F1: 1,3 => UNS
* DIS # E8: 8 # F2: 1,3 => CTR => F2: 2,4,9
* INC # E8: 8 + F2: 2,4,9 # F3: 1,3 => UNS
* PRF # E8: 8 + F2: 2,4,9 # F4: 1,3 => SOL
* STA # E8: 8 + F2: 2,4,9 + F4: 1,3
* CNT   8 HDP CHAINS /   9 HYP OPENED