Analysis of xx-ph-00885674-13_03-base.sdk

Contents

Original Sudoku
Autosolve
Pair Reduction Variants
- Deep Constraint Pair Analysis
Details
Appendix: Full HDP Chains
- A1. Deep Constraint Pair Analysis

Original Sudoku

level: deep

position: 98.7..6..7...9..5...4.....98..3....7.3..6......7.2.3..5....1....7.2..8....8....41 initial

Autosolve

position: 98.7..6..7...9..5...4.....98..3....7.3..67.....7.2.3..5....1....7.2..8....8....41 autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for E9,G9: 7..:

* DIS # G9: 7 # H1: 1,2 => CTR => H1: 3
* DIS # G9: 7 + H1: 3 # G2: 1,2 => CTR => G2: 4
* DIS # G9: 7 + H1: 3 + G2: 4 => CTR => G9: 2,5,9
* STA G9: 2,5,9
* CNT   3 HDP CHAINS /   4 HYP OPENED

List of important HDP chains detected for E7,E9: 7..:

* DIS # E7: 7 # H1: 1,2 => CTR => H1: 3
* DIS # E7: 7 + H1: 3 # G2: 1,2 => CTR => G2: 4
* DIS # E7: 7 + H1: 3 + G2: 4 => CTR => E7: 3,4,8
* STA E7: 3,4,8
* CNT   3 HDP CHAINS /   4 HYP OPENED

List of important HDP chains detected for B7,A8: 4..:

* DIS # A8: 4 # B6: 1,6 => CTR => B6: 4,5,9
* CNT   1 HDP CHAINS /  46 HYP OPENED

List of important HDP chains detected for I8,G9: 5..:

* DIS # G9: 5 # F8: 6,9 => CTR => F8: 3,4,5
* CNT   1 HDP CHAINS /  31 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...9..5...4.....98..3....7.3..6......7.2.3..5....1....7.2..8....8....41`	initial
`98.7..6..7...9..5...4.....98..3....7.3..67.....7.2.3..5....1....7.2..8....8....41`	autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A8,C8: 1.. / A8 = 1  =>  2 pairs (_) / C8 = 1  =>  0 pairs (_)
B7,A8: 4.. / B7 = 4  =>  0 pairs (_) / A8 = 4  =>  5 pairs (_)
C1,B3: 5.. / C1 = 5  =>  0 pairs (_) / B3 = 5  =>  0 pairs (_)
I8,G9: 5.. / I8 = 5  =>  1 pairs (_) / G9 = 5  =>  2 pairs (_)
G3,H3: 7.. / G3 = 7  =>  1 pairs (_) / H3 = 7  =>  1 pairs (_)
E7,E9: 7.. / E7 = 7  =>  6 pairs (_) / E9 = 7  =>  0 pairs (_)
E9,G9: 7.. / E9 = 7  =>  0 pairs (_) / G9 = 7  =>  6 pairs (_)
H3,H7: 7.. / H3 = 7  =>  1 pairs (_) / H7 = 7  =>  1 pairs (_)
I2,H3: 8.. / I2 = 8  =>  0 pairs (_) / H3 = 8  =>  1 pairs (_)
D7,E7: 8.. / D7 = 8  =>  0 pairs (_) / E7 = 8  =>  0 pairs (_)
E3,E7: 8.. / E3 = 8  =>  0 pairs (_) / E7 = 8  =>  0 pairs (_)
* DURATION: 0:00:08.283386  START: 03:44:26.293000  END: 03:44:34.576386 2021-01-02
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E9,G9: 7.. / E9 = 7  =>  0 pairs (_) / G9 = 7 ==>  0 pairs (X)
E7,E9: 7.. / E7 = 7 ==>  0 pairs (X) / E9 = 7  =>  0 pairs (_)
B7,A8: 4.. / B7 = 4 ==>  0 pairs (_) / A8 = 4 ==>  5 pairs (_)
I8,G9: 5.. / I8 = 5 ==>  1 pairs (_) / G9 = 5 ==>  2 pairs (_)
A8,C8: 1.. / A8 = 1 ==>  2 pairs (_) / C8 = 1 ==>  0 pairs (_)
H3,H7: 7.. / H3 = 7 ==>  1 pairs (_) / H7 = 7 ==>  1 pairs (_)
G3,H3: 7.. / G3 = 7 ==>  1 pairs (_) / H3 = 7 ==>  1 pairs (_)
I2,H3: 8.. / I2 = 8 ==>  0 pairs (_) / H3 = 8 ==>  1 pairs (_)
E3,E7: 8.. / E3 = 8 ==>  0 pairs (_) / E7 = 8 ==>  0 pairs (_)
D7,E7: 8.. / D7 = 8 ==>  0 pairs (_) / E7 = 8 ==>  0 pairs (_)
C1,B3: 5.. / C1 = 5 ==>  0 pairs (_) / B3 = 5 ==>  0 pairs (_)
* DURATION: 0:01:17.521017  START: 03:44:34.577107  END: 03:45:52.098124 2021-01-02
* REASONING E9,G9: 7..
* DIS # G9: 7 # H1: 1,2 => CTR => H1: 3
* DIS # G9: 7 + H1: 3 # G2: 1,2 => CTR => G2: 4
* DIS # G9: 7 + H1: 3 + G2: 4 => CTR => G9: 2,5,9
* STA G9: 2,5,9
* CNT   3 HDP CHAINS /   4 HYP OPENED
* REASONING E7,E9: 7..
* DIS # E7: 7 # H1: 1,2 => CTR => H1: 3
* DIS # E7: 7 + H1: 3 # G2: 1,2 => CTR => G2: 4
* DIS # E7: 7 + H1: 3 + G2: 4 => CTR => E7: 3,4,8
* STA E7: 3,4,8
* CNT   3 HDP CHAINS /   4 HYP OPENED
* REASONING B7,A8: 4..
* DIS # A8: 4 # B6: 1,6 => CTR => B6: 4,5,9
* CNT   1 HDP CHAINS /  46 HYP OPENED
* REASONING I8,G9: 5..
* DIS # G9: 5 # F8: 6,9 => CTR => F8: 3,4,5
* CNT   1 HDP CHAINS /  31 HYP OPENED
* DCP COUNT: (11)
* CLUE FOUND

Header Info

885674;13_03;GP;25;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E9,G9: 7..:

* DIS # G9: 7 # H1: 1,2 => CTR => H1: 3
* DIS # G9: 7 + H1: 3 # G2: 1,2 => CTR => G2: 4
* DIS # G9: 7 + H1: 3 + G2: 4 => CTR => G9: 2,5,9
* INC G9: 2,5,9 # E9: 7 => UNS
* STA G9: 2,5,9
* CNT   4 HDP CHAINS /   4 HYP OPENED

Full list of HDP chains traversed for E7,E9: 7..:

* DIS # E7: 7 # H1: 1,2 => CTR => H1: 3
* DIS # E7: 7 + H1: 3 # G2: 1,2 => CTR => G2: 4
* DIS # E7: 7 + H1: 3 + G2: 4 => CTR => E7: 3,4,8
* INC E7: 3,4,8 # E9: 7 => UNS
* STA E7: 3,4,8
* CNT   4 HDP CHAINS /   4 HYP OPENED

Full list of HDP chains traversed for B7,A8: 4..:

* INC # A8: 4 # B4: 1,2 => UNS
* INC # A8: 4 # B4: 4,5,6,9 => UNS
* INC # A8: 4 # G5: 1,2 => UNS
* INC # A8: 4 # H5: 1,2 => UNS
* INC # A8: 4 # A3: 1,2 => UNS
* INC # A8: 4 # A3: 3,6 => UNS
* INC # A8: 4 # B4: 1,6 => UNS
* DIS # A8: 4 # B6: 1,6 => CTR => B6: 4,5,9
* INC # A8: 4 + B6: 4,5,9 # B4: 1,6 => UNS
* INC # A8: 4 + B6: 4,5,9 # B4: 2,4,5,9 => UNS
* INC # A8: 4 + B6: 4,5,9 # H6: 1,6 => UNS
* INC # A8: 4 + B6: 4,5,9 # H6: 8,9 => UNS
* INC # A8: 4 + B6: 4,5,9 # A3: 1,6 => UNS
* INC # A8: 4 + B6: 4,5,9 # A3: 2,3 => UNS
* INC # A8: 4 + B6: 4,5,9 # D2: 4,8 => UNS
* INC # A8: 4 + B6: 4,5,9 # D5: 4,8 => UNS
* INC # A8: 4 + B6: 4,5,9 # D6: 4,8 => UNS
* INC # A8: 4 + B6: 4,5,9 # F8: 3,5 => UNS
* INC # A8: 4 + B6: 4,5,9 # F9: 3,5 => UNS
* INC # A8: 4 + B6: 4,5,9 # I8: 3,5 => UNS
* INC # A8: 4 + B6: 4,5,9 # I8: 6 => UNS
* INC # A8: 4 + B6: 4,5,9 # E1: 3,5 => UNS
* INC # A8: 4 + B6: 4,5,9 # E3: 3,5 => UNS
* INC # A8: 4 + B6: 4,5,9 # B4: 1,2 => UNS
* INC # A8: 4 + B6: 4,5,9 # B4: 4,5,6,9 => UNS
* INC # A8: 4 + B6: 4,5,9 # G5: 1,2 => UNS
* INC # A8: 4 + B6: 4,5,9 # H5: 1,2 => UNS
* INC # A8: 4 + B6: 4,5,9 # A3: 1,2 => UNS
* INC # A8: 4 + B6: 4,5,9 # A3: 3,6 => UNS
* INC # A8: 4 + B6: 4,5,9 # B4: 1,6 => UNS
* INC # A8: 4 + B6: 4,5,9 # B4: 2,4,5,9 => UNS
* INC # A8: 4 + B6: 4,5,9 # H6: 1,6 => UNS
* INC # A8: 4 + B6: 4,5,9 # H6: 8,9 => UNS
* INC # A8: 4 + B6: 4,5,9 # A3: 1,6 => UNS
* INC # A8: 4 + B6: 4,5,9 # A3: 2,3 => UNS
* INC # A8: 4 + B6: 4,5,9 # D2: 4,8 => UNS
* INC # A8: 4 + B6: 4,5,9 # D5: 4,8 => UNS
* INC # A8: 4 + B6: 4,5,9 # D6: 4,8 => UNS
* INC # A8: 4 + B6: 4,5,9 # F8: 3,5 => UNS
* INC # A8: 4 + B6: 4,5,9 # F9: 3,5 => UNS
* INC # A8: 4 + B6: 4,5,9 # I8: 3,5 => UNS
* INC # A8: 4 + B6: 4,5,9 # I8: 6 => UNS
* INC # A8: 4 + B6: 4,5,9 # E1: 3,5 => UNS
* INC # A8: 4 + B6: 4,5,9 # E3: 3,5 => UNS
* INC # A8: 4 + B6: 4,5,9 => UNS
* INC # B7: 4 => UNS
* CNT  46 HDP CHAINS /  46 HYP OPENED

Full list of HDP chains traversed for I8,G9: 5..:

* INC # G9: 5 # D7: 6,9 => UNS
* DIS # G9: 5 # F8: 6,9 => CTR => F8: 3,4,5
* INC # G9: 5 + F8: 3,4,5 # F9: 6,9 => UNS
* INC # G9: 5 + F8: 3,4,5 # B9: 6,9 => UNS
* INC # G9: 5 + F8: 3,4,5 # B9: 2 => UNS
* INC # G9: 5 + F8: 3,4,5 # D7: 6,9 => UNS
* INC # G9: 5 + F8: 3,4,5 # F9: 6,9 => UNS
* INC # G9: 5 + F8: 3,4,5 # B9: 6,9 => UNS
* INC # G9: 5 + F8: 3,4,5 # B9: 2 => UNS
* INC # G9: 5 + F8: 3,4,5 # H7: 3,6 => UNS
* INC # G9: 5 + F8: 3,4,5 # I7: 3,6 => UNS
* INC # G9: 5 + F8: 3,4,5 # H8: 3,6 => UNS
* INC # G9: 5 + F8: 3,4,5 # A8: 3,6 => UNS
* INC # G9: 5 + F8: 3,4,5 # C8: 3,6 => UNS
* INC # G9: 5 + F8: 3,4,5 # D7: 6,9 => UNS
* INC # G9: 5 + F8: 3,4,5 # F9: 6,9 => UNS
* INC # G9: 5 + F8: 3,4,5 # B9: 6,9 => UNS
* INC # G9: 5 + F8: 3,4,5 # B9: 2 => UNS
* INC # G9: 5 + F8: 3,4,5 # H7: 3,6 => UNS
* INC # G9: 5 + F8: 3,4,5 # I7: 3,6 => UNS
* INC # G9: 5 + F8: 3,4,5 # H8: 3,6 => UNS
* INC # G9: 5 + F8: 3,4,5 # A8: 3,6 => UNS
* INC # G9: 5 + F8: 3,4,5 # C8: 3,6 => UNS
* INC # G9: 5 + F8: 3,4,5 => UNS
* INC # I8: 5 # E7: 3,4 => UNS
* INC # I8: 5 # F8: 3,4 => UNS
* INC # I8: 5 # A8: 3,4 => UNS
* INC # I8: 5 # A8: 1,6 => UNS
* INC # I8: 5 # E1: 3,4 => UNS
* INC # I8: 5 # E1: 1,5 => UNS
* INC # I8: 5 => UNS
* CNT  31 HDP CHAINS /  31 HYP OPENED

Full list of HDP chains traversed for A8,C8: 1..:

* INC # A8: 1 # G5: 2,4 => UNS
* INC # A8: 1 # I5: 2,4 => UNS
* INC # A8: 1 # I6: 4,6 => UNS
* INC # A8: 1 # I6: 5,8 => UNS
* INC # A8: 1 => UNS
* INC # C8: 1 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for H3,H7: 7..:

* INC # H3: 7 # H1: 1,2 => UNS
* INC # H3: 7 # G2: 1,2 => UNS
* INC # H3: 7 # A3: 1,2 => UNS
* INC # H3: 7 # B3: 1,2 => UNS
* INC # H3: 7 # G4: 1,2 => UNS
* INC # H3: 7 # G5: 1,2 => UNS
* INC # H3: 7 => UNS
* INC # H7: 7 # G9: 2,9 => UNS
* INC # H7: 7 # G9: 5 => UNS
* INC # H7: 7 # B7: 2,9 => UNS
* INC # H7: 7 # C7: 2,9 => UNS
* INC # H7: 7 # G4: 2,9 => UNS
* INC # H7: 7 # G5: 2,9 => UNS
* INC # H7: 7 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for G3,H3: 7..:

* INC # G3: 7 # G9: 2,9 => UNS
* INC # G3: 7 # G9: 5 => UNS
* INC # G3: 7 # B7: 2,9 => UNS
* INC # G3: 7 # C7: 2,9 => UNS
* INC # G3: 7 # G4: 2,9 => UNS
* INC # G3: 7 # G5: 2,9 => UNS
* INC # G3: 7 => UNS
* INC # H3: 7 # H1: 1,2 => UNS
* INC # H3: 7 # G2: 1,2 => UNS
* INC # H3: 7 # A3: 1,2 => UNS
* INC # H3: 7 # B3: 1,2 => UNS
* INC # H3: 7 # G4: 1,2 => UNS
* INC # H3: 7 # G5: 1,2 => UNS
* INC # H3: 7 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for I2,H3: 8..:

* INC # H3: 8 # G9: 2,9 => UNS
* INC # H3: 8 # G9: 5 => UNS
* INC # H3: 8 # B7: 2,9 => UNS
* INC # H3: 8 # C7: 2,9 => UNS
* INC # H3: 8 # G4: 2,9 => UNS
* INC # H3: 8 # G5: 2,9 => UNS
* INC # H3: 8 => UNS
* INC # I2: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for E3,E7: 8..:

* INC # E3: 8 => UNS
* INC # E7: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D7,E7: 8..:

* INC # D7: 8 => UNS
* INC # E7: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C1,B3: 5..:

* INC # C1: 5 => UNS
* INC # B3: 5 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED