Analysis of xx-ph-02123993-2018_12_01-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76....5.7..48...3.5.....8.6.5.4...4...8.2...........9.....84..5...7......4...1 initial

Autosolve

position: 98.76....5.7..48...3.58....8.6.5.4...4...8.2..5.4....8.9.....844.58..7....8.4...1 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for B4,B9: 7..:

* DIS # B4: 7 # G5: 1,3 => CTR => G5: 5,6,9
* DIS # B4: 7 + G5: 5,6,9 # I5: 3,9 => CTR => I5: 5,6,7
* DIS # B4: 7 + G5: 5,6,9 + I5: 5,6,7 # H6: 3,9 => CTR => H6: 1,6,7
* CNT   3 HDP CHAINS /  66 HYP OPENED

List of important HDP chains detected for H1,H9: 5..:

* DIS # H1: 5 # A3: 1,2 => CTR => A3: 6
* PRF # H1: 5 + A3: 6 # I2: 2,3 => SOL
* STA # H1: 5 + A3: 6 + I2: 2,3
* 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....5.7..48...3.5.....8.6.5.4...4...8.2...........9.....84..5...7......4...1 initial
98.76....5.7..48...3.58....8.6.5.4...4...8.2..5.4....8.9.....844.58..7....8.4...1 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C1,C3: 4.. / C1 = 4  =>  2 pairs (_) / C3 = 4  =>  1 pairs (_)
H1,H3: 4.. / H1 = 4  =>  1 pairs (_) / H3 = 4  =>  2 pairs (_)
C1,H1: 4.. / C1 = 4  =>  2 pairs (_) / H1 = 4  =>  1 pairs (_)
C3,H3: 4.. / C3 = 4  =>  1 pairs (_) / H3 = 4  =>  2 pairs (_)
G5,I5: 5.. / G5 = 5  =>  0 pairs (_) / I5 = 5  =>  1 pairs (_)
F7,F9: 5.. / F7 = 5  =>  0 pairs (_) / F9 = 5  =>  3 pairs (_)
F7,G7: 5.. / F7 = 5  =>  0 pairs (_) / G7 = 5  =>  3 pairs (_)
H1,H9: 5.. / H1 = 5  =>  3 pairs (_) / H9 = 5  =>  0 pairs (_)
I1,I5: 5.. / I1 = 5  =>  0 pairs (_) / I5 = 5  =>  1 pairs (_)
B2,A3: 6.. / B2 = 6  =>  3 pairs (_) / A3 = 6  =>  1 pairs (_)
D5,F6: 6.. / D5 = 6  =>  0 pairs (_) / F6 = 6  =>  2 pairs (_)
H3,I3: 7.. / H3 = 7  =>  1 pairs (_) / I3 = 7  =>  1 pairs (_)
B4,B9: 7.. / B4 = 7  =>  3 pairs (_) / B9 = 7  =>  1 pairs (_)
C5,C6: 9.. / C5 = 9  =>  0 pairs (_) / C6 = 9  =>  1 pairs (_)
* DURATION: 0:00:10.772847  START: 10:08:47.390620  END: 10:08:58.163467 2020-09-23
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B4,B9: 7.. / B4 = 7 ==>  3 pairs (_) / B9 = 7 ==>  1 pairs (_)
B2,A3: 6.. / B2 = 6 ==>  3 pairs (_) / A3 = 6 ==>  1 pairs (_)
H1,H9: 5.. / H1 = 5 ==>  0 pairs (*) / H9 = 5  =>  0 pairs (X)
* DURATION: 0:01:02.060292  START: 10:08:58.164072  END: 10:10:00.224364 2020-09-23
* REASONING B4,B9: 7..
* DIS # B4: 7 # G5: 1,3 => CTR => G5: 5,6,9
* DIS # B4: 7 + G5: 5,6,9 # I5: 3,9 => CTR => I5: 5,6,7
* DIS # B4: 7 + G5: 5,6,9 + I5: 5,6,7 # H6: 3,9 => CTR => H6: 1,6,7
* CNT   3 HDP CHAINS /  66 HYP OPENED
* REASONING H1,H9: 5..
* DIS # H1: 5 # A3: 1,2 => CTR => A3: 6
* PRF # H1: 5 + A3: 6 # I2: 2,3 => SOL
* STA # H1: 5 + A3: 6 + I2: 2,3
* CNT   2 HDP CHAINS /   9 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

2123993;2018_12_01;PAQ;24;11.60;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B4,B9: 7..:

* INC # B4: 7 # C5: 1,3 => UNS
* INC # B4: 7 # A6: 1,3 => UNS
* INC # B4: 7 # C6: 1,3 => UNS
* INC # B4: 7 # D5: 1,3 => UNS
* INC # B4: 7 # E5: 1,3 => UNS
* DIS # B4: 7 # G5: 1,3 => CTR => G5: 5,6,9
* INC # B4: 7 + G5: 5,6,9 # A7: 1,3 => UNS
* INC # B4: 7 + G5: 5,6,9 # A7: 2,6,7 => UNS
* INC # B4: 7 + G5: 5,6,9 # C5: 1,3 => UNS
* INC # B4: 7 + G5: 5,6,9 # A6: 1,3 => UNS
* INC # B4: 7 + G5: 5,6,9 # C6: 1,3 => UNS
* INC # B4: 7 + G5: 5,6,9 # D5: 1,3 => UNS
* INC # B4: 7 + G5: 5,6,9 # E5: 1,3 => UNS
* INC # B4: 7 + G5: 5,6,9 # A7: 1,3 => UNS
* INC # B4: 7 + G5: 5,6,9 # A7: 2,6,7 => UNS
* INC # B4: 7 + G5: 5,6,9 # H4: 3,9 => UNS
* DIS # B4: 7 + G5: 5,6,9 # I5: 3,9 => CTR => I5: 5,6,7
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 # G6: 3,9 => UNS
* DIS # B4: 7 + G5: 5,6,9 + I5: 5,6,7 # H6: 3,9 => CTR => H6: 1,6,7
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # D4: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # F4: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # I2: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # I8: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # H4: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # G6: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # D4: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # F4: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # I2: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # I8: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # A7: 2,6 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # B8: 2,6 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # A9: 2,6 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # D9: 2,6 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # F9: 2,6 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # G9: 2,6 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # B2: 2,6 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # B2: 1 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # C5: 1,3 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # A6: 1,3 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # C6: 1,3 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # D5: 1,3 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # E5: 1,3 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # A7: 1,3 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # A7: 2,6,7 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # H4: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # G6: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # D4: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # F4: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # I2: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # I8: 3,9 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # A7: 2,6 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # B8: 2,6 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # A9: 2,6 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # D9: 2,6 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # F9: 2,6 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # G9: 2,6 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # B2: 2,6 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 # B2: 1 => UNS
* INC # B4: 7 + G5: 5,6,9 + I5: 5,6,7 + H6: 1,6,7 => UNS
* INC # B9: 7 # A6: 1,2 => UNS
* INC # B9: 7 # C6: 1,2 => UNS
* INC # B9: 7 # D4: 1,2 => UNS
* INC # B9: 7 # F4: 1,2 => UNS
* INC # B9: 7 # B2: 1,2 => UNS
* INC # B9: 7 # B8: 1,2 => UNS
* INC # B9: 7 => UNS
* CNT  66 HDP CHAINS /  66 HYP OPENED

Full list of HDP chains traversed for B2,A3: 6..:

* INC # B2: 6 # C1: 1,2 => UNS
* INC # B2: 6 # C3: 1,2 => UNS
* INC # B2: 6 # F3: 1,2 => UNS
* INC # B2: 6 # G3: 1,2 => UNS
* INC # B2: 6 # A6: 1,2 => UNS
* INC # B2: 6 # A7: 1,2 => UNS
* INC # B2: 6 # A7: 1,2 => UNS
* INC # B2: 6 # C7: 1,2 => UNS
* INC # B2: 6 # E8: 1,2 => UNS
* INC # B2: 6 # F8: 1,2 => UNS
* INC # B2: 6 # B4: 1,2 => UNS
* INC # B2: 6 # B4: 7 => UNS
* INC # B2: 6 # A7: 2,7 => UNS
* INC # B2: 6 # A9: 2,7 => UNS
* INC # B2: 6 # F9: 2,7 => UNS
* INC # B2: 6 # F9: 3,5,6,9 => UNS
* INC # B2: 6 # B4: 2,7 => UNS
* INC # B2: 6 # B4: 1 => UNS
* INC # B2: 6 => UNS
* INC # A3: 6 # C1: 1,2 => UNS
* INC # A3: 6 # C3: 1,2 => UNS
* INC # A3: 6 # D2: 1,2 => UNS
* INC # A3: 6 # E2: 1,2 => UNS
* INC # A3: 6 # B4: 1,2 => UNS
* INC # A3: 6 # B8: 1,2 => UNS
* INC # A3: 6 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for H1,H9: 5..:

* INC # H1: 5 # B2: 1,2 => UNS
* DIS # H1: 5 # A3: 1,2 => CTR => A3: 6
* INC # H1: 5 + A3: 6 # F3: 1,2 => UNS
* INC # H1: 5 + A3: 6 # G3: 1,2 => UNS
* INC # H1: 5 + A3: 6 # C6: 1,2 => UNS
* INC # H1: 5 + A3: 6 # C7: 1,2 => UNS
* INC # H1: 5 + A3: 6 # G1: 2,3 => UNS
* PRF # H1: 5 + A3: 6 # I2: 2,3 => SOL
* STA # H1: 5 + A3: 6 + I2: 2,3
* CNT   8 HDP CHAINS /   9 HYP OPENED