Analysis of xx-ph-02123953-2018_11_28-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7......5...4....8.69..8.7...4.6.3.....29.....3....98.....8...7.....7...1 initial

Autosolve

position: 98.7..6..7....8.5...4....8769..8.7...476.3.....29.7...37...98....98...7...8.7...1 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for C2,C7: 6..:

* DIS # C7: 6 # G9: 2,5 => CTR => G9: 3,4,9
* DIS # C7: 6 + G9: 3,4,9 # I8: 2,4 => CTR => I8: 3,5,6
* DIS # C7: 6 + G9: 3,4,9 + I8: 3,5,6 # H9: 2,4 => CTR => H9: 3,6,9
* CNT   3 HDP CHAINS /  66 HYP OPENED

List of important HDP chains detected for I2,I5: 9..:

* DIS # I5: 9 # B6: 1,5 => CTR => B6: 3
* PRF # I5: 9 + B6: 3 # H4: 1,2 => SOL
* STA # I5: 9 + B6: 3 + H4: 1,2
* CNT   2 HDP CHAINS /   8 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......5...4....8.69..8.7...4.6.3.....29.....3....98.....8...7.....7...1 initial
98.7..6..7....8.5...4....8769..8.7...476.3.....29.7...37...98....98...7...8.7...1 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
C4,B6: 3.. / C4 = 3  =>  3 pairs (_) / B6 = 3  =>  1 pairs (_)
E8,D9: 3.. / E8 = 3  =>  2 pairs (_) / D9 = 3  =>  0 pairs (_)
A8,A9: 4.. / A8 = 4  =>  1 pairs (_) / A9 = 4  =>  0 pairs (_)
H6,I6: 6.. / H6 = 6  =>  1 pairs (_) / I6 = 6  =>  1 pairs (_)
C2,C7: 6.. / C2 = 6  =>  1 pairs (_) / C7 = 6  =>  3 pairs (_)
A5,A6: 8.. / A5 = 8  =>  2 pairs (_) / A6 = 8  =>  1 pairs (_)
I5,I6: 8.. / I5 = 8  =>  1 pairs (_) / I6 = 8  =>  2 pairs (_)
A5,I5: 8.. / A5 = 8  =>  2 pairs (_) / I5 = 8  =>  1 pairs (_)
A6,I6: 8.. / A6 = 8  =>  1 pairs (_) / I6 = 8  =>  2 pairs (_)
E2,E3: 9.. / E2 = 9  =>  3 pairs (_) / E3 = 9  =>  0 pairs (_)
G9,H9: 9.. / G9 = 9  =>  0 pairs (_) / H9 = 9  =>  1 pairs (_)
E3,G3: 9.. / E3 = 9  =>  0 pairs (_) / G3 = 9  =>  3 pairs (_)
H5,H9: 9.. / H5 = 9  =>  0 pairs (_) / H9 = 9  =>  1 pairs (_)
I2,I5: 9.. / I2 = 9  =>  0 pairs (_) / I5 = 9  =>  3 pairs (_)
* DURATION: 0:00:10.437893  START: 07:08:02.071275  END: 07:08:12.509168 2020-09-23
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C2,C7: 6.. / C2 = 6 ==>  1 pairs (_) / C7 = 6 ==>  3 pairs (_)
C4,B6: 3.. / C4 = 3 ==>  3 pairs (_) / B6 = 3 ==>  1 pairs (_)
I2,I5: 9.. / I2 = 9  =>  0 pairs (X) / I5 = 9 ==>  0 pairs (*)
* DURATION: 0:00:59.107958  START: 07:08:12.510022  END: 07:09:11.617980 2020-09-23
* REASONING C2,C7: 6..
* DIS # C7: 6 # G9: 2,5 => CTR => G9: 3,4,9
* DIS # C7: 6 + G9: 3,4,9 # I8: 2,4 => CTR => I8: 3,5,6
* DIS # C7: 6 + G9: 3,4,9 + I8: 3,5,6 # H9: 2,4 => CTR => H9: 3,6,9
* CNT   3 HDP CHAINS /  66 HYP OPENED
* REASONING I2,I5: 9..
* DIS # I5: 9 # B6: 1,5 => CTR => B6: 3
* PRF # I5: 9 + B6: 3 # H4: 1,2 => SOL
* STA # I5: 9 + B6: 3 + H4: 1,2
* CNT   2 HDP CHAINS /   8 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

2123953;2018_11_28;PAQ;24;11.60;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C2,C7: 6..:

* INC # C7: 6 # C1: 1,3 => UNS
* INC # C7: 6 # B2: 1,3 => UNS
* INC # C7: 6 # B3: 1,3 => UNS
* INC # C7: 6 # D2: 1,3 => UNS
* INC # C7: 6 # E2: 1,3 => UNS
* INC # C7: 6 # G2: 1,3 => UNS
* INC # C7: 6 # C4: 1,3 => UNS
* INC # C7: 6 # C4: 5 => UNS
* INC # C7: 6 # A8: 2,5 => UNS
* INC # C7: 6 # B8: 2,5 => UNS
* INC # C7: 6 # A9: 2,5 => UNS
* INC # C7: 6 # D9: 2,5 => UNS
* INC # C7: 6 # F9: 2,5 => UNS
* DIS # C7: 6 # G9: 2,5 => CTR => G9: 3,4,9
* INC # C7: 6 + G9: 3,4,9 # B3: 2,5 => UNS
* INC # C7: 6 + G9: 3,4,9 # B3: 1,3,6 => UNS
* INC # C7: 6 + G9: 3,4,9 # A8: 2,5 => UNS
* INC # C7: 6 + G9: 3,4,9 # B8: 2,5 => UNS
* INC # C7: 6 + G9: 3,4,9 # A9: 2,5 => UNS
* INC # C7: 6 + G9: 3,4,9 # D9: 2,5 => UNS
* INC # C7: 6 + G9: 3,4,9 # F9: 2,5 => UNS
* INC # C7: 6 + G9: 3,4,9 # B3: 2,5 => UNS
* INC # C7: 6 + G9: 3,4,9 # B3: 1,3,6 => UNS
* INC # C7: 6 + G9: 3,4,9 # I7: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 # G8: 2,4 => UNS
* DIS # C7: 6 + G9: 3,4,9 # I8: 2,4 => CTR => I8: 3,5,6
* DIS # C7: 6 + G9: 3,4,9 + I8: 3,5,6 # H9: 2,4 => CTR => H9: 3,6,9
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # D7: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # E7: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # H1: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # H4: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # I7: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # G8: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # D7: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # E7: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # H1: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # H4: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # C1: 1,3 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # B2: 1,3 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # B3: 1,3 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # D2: 1,3 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # E2: 1,3 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # G2: 1,3 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # C4: 1,3 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # C4: 5 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # A8: 2,5 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # B8: 2,5 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # A9: 2,5 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # D9: 2,5 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # F9: 2,5 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # B3: 2,5 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # B3: 1,3,6 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # I7: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # G8: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # D7: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # E7: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # H1: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 # H4: 2,4 => UNS
* INC # C7: 6 + G9: 3,4,9 + I8: 3,5,6 + H9: 3,6,9 => UNS
* INC # C2: 6 # A8: 1,5 => UNS
* INC # C2: 6 # B8: 1,5 => UNS
* INC # C2: 6 # D7: 1,5 => UNS
* INC # C2: 6 # E7: 1,5 => UNS
* INC # C2: 6 # C1: 1,5 => UNS
* INC # C2: 6 # C4: 1,5 => UNS
* INC # C2: 6 => UNS
* CNT  66 HDP CHAINS /  66 HYP OPENED

Full list of HDP chains traversed for C4,B6: 3..:

* INC # C4: 3 # A3: 1,5 => UNS
* INC # C4: 3 # B3: 1,5 => UNS
* INC # C4: 3 # E1: 1,5 => UNS
* INC # C4: 3 # F1: 1,5 => UNS
* INC # C4: 3 # C7: 1,5 => UNS
* INC # C4: 3 # C7: 6 => UNS
* INC # C4: 3 # B2: 1,6 => UNS
* INC # C4: 3 # B3: 1,6 => UNS
* INC # C4: 3 # E2: 1,6 => UNS
* INC # C4: 3 # E2: 2,3,4,9 => UNS
* INC # C4: 3 # C7: 1,6 => UNS
* INC # C4: 3 # C7: 5 => UNS
* INC # C4: 3 # A5: 1,5 => UNS
* INC # C4: 3 # A6: 1,5 => UNS
* INC # C4: 3 # E6: 1,5 => UNS
* INC # C4: 3 # G6: 1,5 => UNS
* INC # C4: 3 # B3: 1,5 => UNS
* INC # C4: 3 # B8: 1,5 => UNS
* INC # C4: 3 => UNS
* INC # B6: 3 # A5: 1,5 => UNS
* INC # B6: 3 # A6: 1,5 => UNS
* INC # B6: 3 # D4: 1,5 => UNS
* INC # B6: 3 # F4: 1,5 => UNS
* INC # B6: 3 # C1: 1,5 => UNS
* INC # B6: 3 # C7: 1,5 => UNS
* INC # B6: 3 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for I2,I5: 9..:

* INC # I5: 9 # C4: 1,5 => UNS
* DIS # I5: 9 # B6: 1,5 => CTR => B6: 3
* INC # I5: 9 + B6: 3 # E6: 1,5 => UNS
* INC # I5: 9 + B6: 3 # G6: 1,5 => UNS
* INC # I5: 9 + B6: 3 # A3: 1,5 => UNS
* INC # I5: 9 + B6: 3 # A8: 1,5 => UNS
* PRF # I5: 9 + B6: 3 # H4: 1,2 => SOL
* STA # I5: 9 + B6: 3 + H4: 1,2
* CNT   7 HDP CHAINS /   8 HYP OPENED