Analysis of xx-ph-02236990-2019_01_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..75..6..9...6......4....3....396...7...897..5...78...6.....2.7..........1 initial

Autosolve

position: 98.7..6..75..6..9...6.....747...39.6.396...7...897..5...78...6.....267.......7..1 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000010

List of important HDP chains detected for E4,H4: 8..:

* DIS # H4: 8 # I7: 2,4 => CTR => I7: 3,5,9
* DIS # H4: 8 + I7: 3,5,9 # I8: 3,4 => CTR => I8: 5,8,9
* DIS # H4: 8 + I7: 3,5,9 + I8: 5,8,9 # G9: 3,4 => CTR => G9: 2,5,8
* CNT   3 HDP CHAINS /  66 HYP OPENED

List of important HDP chains detected for F3,F7: 9..:

* DIS # F7: 9 # A5: 1,2 => CTR => A5: 5
* PRF # F7: 9 + A5: 5 # C8: 1,4 => SOL
* STA # F7: 9 + A5: 5 + C8: 1,4
* 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

98.7..6..75..6..9...6......4....3....396...7...897..5...78...6.....2.7..........1 initial
98.7..6..75..6..9...6.....747...39.6.396...7...897..5...78...6.....267.......7..1 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G6,I6: 3.. / G6 = 3  =>  1 pairs (_) / I6 = 3  =>  0 pairs (_)
I1,G3: 5.. / I1 = 5  =>  0 pairs (_) / G3 = 5  =>  2 pairs (_)
C4,A5: 5.. / C4 = 5  =>  3 pairs (_) / A5 = 5  =>  1 pairs (_)
A6,B6: 6.. / A6 = 6  =>  1 pairs (_) / B6 = 6  =>  2 pairs (_)
A9,B9: 6.. / A9 = 6  =>  2 pairs (_) / B9 = 6  =>  1 pairs (_)
A6,A9: 6.. / A6 = 6  =>  1 pairs (_) / A9 = 6  =>  2 pairs (_)
B6,B9: 6.. / B6 = 6  =>  2 pairs (_) / B9 = 6  =>  1 pairs (_)
A8,A9: 8.. / A8 = 8  =>  1 pairs (_) / A9 = 8  =>  1 pairs (_)
E4,H4: 8.. / E4 = 8  =>  1 pairs (_) / H4 = 8  =>  3 pairs (_)
E3,F3: 9.. / E3 = 9  =>  3 pairs (_) / F3 = 9  =>  0 pairs (_)
I7,I8: 9.. / I7 = 9  =>  0 pairs (_) / I8 = 9  =>  1 pairs (_)
B8,I8: 9.. / B8 = 9  =>  0 pairs (_) / I8 = 9  =>  1 pairs (_)
B9,E9: 9.. / B9 = 9  =>  3 pairs (_) / E9 = 9  =>  0 pairs (_)
F3,F7: 9.. / F3 = 9  =>  0 pairs (_) / F7 = 9  =>  3 pairs (_)
* DURATION: 0:00:10.154567  START: 06:00:13.845308  END: 06:00:23.999875 2020-09-24
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E4,H4: 8.. / E4 = 8 ==>  1 pairs (_) / H4 = 8 ==>  3 pairs (_)
C4,A5: 5.. / C4 = 5 ==>  3 pairs (_) / A5 = 5 ==>  1 pairs (_)
F3,F7: 9.. / F3 = 9  =>  0 pairs (X) / F7 = 9 ==>  0 pairs (*)
* DURATION: 0:00:57.317046  START: 06:00:24.000704  END: 06:01:21.317750 2020-09-24
* REASONING E4,H4: 8..
* DIS # H4: 8 # I7: 2,4 => CTR => I7: 3,5,9
* DIS # H4: 8 + I7: 3,5,9 # I8: 3,4 => CTR => I8: 5,8,9
* DIS # H4: 8 + I7: 3,5,9 + I8: 5,8,9 # G9: 3,4 => CTR => G9: 2,5,8
* CNT   3 HDP CHAINS /  66 HYP OPENED
* REASONING F3,F7: 9..
* DIS # F7: 9 # A5: 1,2 => CTR => A5: 5
* PRF # F7: 9 + A5: 5 # C8: 1,4 => SOL
* STA # F7: 9 + A5: 5 + C8: 1,4
* CNT   2 HDP CHAINS /   9 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

2236990;2019_01_07;PAQ;25;11.60;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E4,H4: 8..:

* INC # H4: 8 # D4: 1,5 => UNS
* INC # H4: 8 # E5: 1,5 => UNS
* INC # H4: 8 # F5: 1,5 => UNS
* INC # H4: 8 # C4: 1,5 => UNS
* INC # H4: 8 # C4: 2 => UNS
* INC # H4: 8 # E1: 1,5 => UNS
* INC # H4: 8 # E3: 1,5 => UNS
* INC # H4: 8 # E7: 1,5 => UNS
* INC # H4: 8 # G5: 2,4 => UNS
* INC # H4: 8 # G6: 2,4 => UNS
* INC # H4: 8 # I6: 2,4 => UNS
* INC # H4: 8 # F5: 2,4 => UNS
* INC # H4: 8 # F5: 1,5,8 => UNS
* INC # H4: 8 # I1: 2,4 => UNS
* INC # H4: 8 # I2: 2,4 => UNS
* DIS # H4: 8 # I7: 2,4 => CTR => I7: 3,5,9
* INC # H4: 8 + I7: 3,5,9 # G5: 2,4 => UNS
* INC # H4: 8 + I7: 3,5,9 # G6: 2,4 => UNS
* INC # H4: 8 + I7: 3,5,9 # I6: 2,4 => UNS
* INC # H4: 8 + I7: 3,5,9 # F5: 2,4 => UNS
* INC # H4: 8 + I7: 3,5,9 # F5: 1,5,8 => UNS
* INC # H4: 8 + I7: 3,5,9 # I1: 2,4 => UNS
* INC # H4: 8 + I7: 3,5,9 # I2: 2,4 => UNS
* INC # H4: 8 + I7: 3,5,9 # G7: 3,4 => UNS
* DIS # H4: 8 + I7: 3,5,9 # I8: 3,4 => CTR => I8: 5,8,9
* DIS # H4: 8 + I7: 3,5,9 + I8: 5,8,9 # G9: 3,4 => CTR => G9: 2,5,8
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # H9: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # C8: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # D8: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # H1: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # H3: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # G7: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # H9: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # C8: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # D8: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # H1: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # H3: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # D4: 1,5 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # E5: 1,5 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # F5: 1,5 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # C4: 1,5 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # C4: 2 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # E1: 1,5 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # E3: 1,5 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # E7: 1,5 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # G5: 2,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # G6: 2,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # I6: 2,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # F5: 2,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # F5: 1,5,8 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # I1: 2,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # I2: 2,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # G7: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # H9: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # C8: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # D8: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # H1: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 # H3: 3,4 => UNS
* INC # H4: 8 + I7: 3,5,9 + I8: 5,8,9 + G9: 2,5,8 => UNS
* INC # E4: 8 # G5: 1,2 => UNS
* INC # E4: 8 # G6: 1,2 => UNS
* INC # E4: 8 # C4: 1,2 => UNS
* INC # E4: 8 # D4: 1,2 => UNS
* INC # E4: 8 # H1: 1,2 => UNS
* INC # E4: 8 # H3: 1,2 => UNS
* INC # E4: 8 => UNS
* CNT  66 HDP CHAINS /  66 HYP OPENED

Full list of HDP chains traversed for C4,A5: 5..:

* INC # C4: 5 # A6: 1,2 => UNS
* INC # C4: 5 # B6: 1,2 => UNS
* INC # C4: 5 # F5: 1,2 => UNS
* INC # C4: 5 # G5: 1,2 => UNS
* INC # C4: 5 # A3: 1,2 => UNS
* INC # C4: 5 # A7: 1,2 => UNS
* INC # C4: 5 # F5: 1,2 => UNS
* INC # C4: 5 # F6: 1,2 => UNS
* INC # C4: 5 # H4: 1,2 => UNS
* INC # C4: 5 # H4: 8 => UNS
* INC # C4: 5 # D2: 1,2 => UNS
* INC # C4: 5 # D3: 1,2 => UNS
* INC # C4: 5 # E5: 1,8 => UNS
* INC # C4: 5 # F5: 1,8 => UNS
* INC # C4: 5 # H4: 1,8 => UNS
* INC # C4: 5 # H4: 2 => UNS
* INC # C4: 5 # E3: 1,8 => UNS
* INC # C4: 5 # E3: 3,4,5,9 => UNS
* INC # C4: 5 => UNS
* INC # A5: 5 # A6: 1,2 => UNS
* INC # A5: 5 # B6: 1,2 => UNS
* INC # A5: 5 # D4: 1,2 => UNS
* INC # A5: 5 # H4: 1,2 => UNS
* INC # A5: 5 # C1: 1,2 => UNS
* INC # A5: 5 # C2: 1,2 => UNS
* INC # A5: 5 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for F3,F7: 9..:

* INC # F7: 9 # C4: 1,2 => UNS
* DIS # F7: 9 # A5: 1,2 => CTR => A5: 5
* INC # F7: 9 + A5: 5 # F6: 1,2 => UNS
* INC # F7: 9 + A5: 5 # G6: 1,2 => UNS
* INC # F7: 9 + A5: 5 # A3: 1,2 => UNS
* INC # F7: 9 + A5: 5 # A7: 1,2 => UNS
* INC # F7: 9 + A5: 5 # B7: 1,4 => UNS
* PRF # F7: 9 + A5: 5 # C8: 1,4 => SOL
* STA # F7: 9 + A5: 5 + C8: 1,4
* CNT   8 HDP CHAINS /   9 HYP OPENED