Analysis of xx-ph-00033594-2012_04-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..5...8..7...7..5...4...3.5....85...6......2..32.....1...1......4..59...8. initial

Autosolve

position: 98.7..6..5...8..7...7..5...4...3.5....85...6..5...2..32.....1..81......4..59...8. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000011

List of important HDP chains detected for I1,I7: 5..:

* DIS # I7: 5 # H3: 1,2 => CTR => H3: 3,4,9
* DIS # I7: 5 + H3: 3,4,9 # B7: 3,7 => CTR => B7: 4,6,9
* DIS # I7: 5 + H3: 3,4,9 + B7: 4,6,9 # B9: 3,7 => CTR => B9: 4
* DIS # I7: 5 + H3: 3,4,9 + B7: 4,6,9 + B9: 4 => CTR => I7: 6,7,9
* STA I7: 6,7,9
* CNT   4 HDP CHAINS /  13 HYP OPENED

List of important HDP chains detected for H1,I1: 5..:

* DIS # H1: 5 # H3: 1,2 => CTR => H3: 3,4,9
* DIS # H1: 5 + H3: 3,4,9 # B7: 3,7 => CTR => B7: 4,6,9
* DIS # H1: 5 + H3: 3,4,9 + B7: 4,6,9 # B9: 3,7 => CTR => B9: 4
* DIS # H1: 5 + H3: 3,4,9 + B7: 4,6,9 + B9: 4 => CTR => H1: 1,2,3,4
* STA H1: 1,2,3,4
* CNT   4 HDP CHAINS /  13 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..5...8..7...7..5...4...3.5....85...6......2..32.....1...1......4..59...8. initial
98.7..6..5...8..7...7..5...4...3.5....85...6..5...2..32.....1..81......4..59...8. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E9,F9: 1.. / E9 = 1  =>  1 pairs (_) / F9 = 1  =>  1 pairs (_)
A5,B5: 3.. / A5 = 3  =>  2 pairs (_) / B5 = 3  =>  2 pairs (_)
H1,I1: 5.. / H1 = 5  =>  3 pairs (_) / I1 = 5  =>  0 pairs (_)
E7,E8: 5.. / E7 = 5  =>  1 pairs (_) / E8 = 5  =>  0 pairs (_)
E8,H8: 5.. / E8 = 5  =>  0 pairs (_) / H8 = 5  =>  1 pairs (_)
I1,I7: 5.. / I1 = 5  =>  0 pairs (_) / I7 = 5  =>  3 pairs (_)
I7,I9: 6.. / I7 = 6  =>  1 pairs (_) / I9 = 6  =>  1 pairs (_)
G3,I3: 8.. / G3 = 8  =>  1 pairs (_) / I3 = 8  =>  0 pairs (_)
I4,G6: 8.. / I4 = 8  =>  1 pairs (_) / G6 = 8  =>  0 pairs (_)
D7,F7: 8.. / D7 = 8  =>  1 pairs (_) / F7 = 8  =>  0 pairs (_)
D6,G6: 8.. / D6 = 8  =>  1 pairs (_) / G6 = 8  =>  0 pairs (_)
F4,F7: 8.. / F4 = 8  =>  1 pairs (_) / F7 = 8  =>  0 pairs (_)
G3,G6: 8.. / G3 = 8  =>  1 pairs (_) / G6 = 8  =>  0 pairs (_)
I3,I4: 8.. / I3 = 8  =>  0 pairs (_) / I4 = 8  =>  1 pairs (_)
F2,E3: 9.. / F2 = 9  =>  1 pairs (_) / E3 = 9  =>  0 pairs (_)
* DURATION: 0:00:12.671086  START: 07:57:02.159196  END: 07:57:14.830282 2020-12-13
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
I1,I7: 5.. / I1 = 5  =>  0 pairs (_) / I7 = 5 ==>  0 pairs (X)
H1,I1: 5.. / H1 = 5 ==>  0 pairs (X) / I1 = 5  =>  0 pairs (_)
A5,B5: 3.. / A5 = 3 ==>  2 pairs (_) / B5 = 3 ==>  2 pairs (_)
I7,I9: 6.. / I7 = 6 ==>  1 pairs (_) / I9 = 6 ==>  1 pairs (_)
E9,F9: 1.. / E9 = 1 ==>  1 pairs (_) / F9 = 1 ==>  1 pairs (_)
F2,E3: 9.. / F2 = 9 ==>  1 pairs (_) / E3 = 9 ==>  0 pairs (_)
I3,I4: 8.. / I3 = 8 ==>  0 pairs (_) / I4 = 8 ==>  1 pairs (_)
G3,G6: 8.. / G3 = 8 ==>  1 pairs (_) / G6 = 8 ==>  0 pairs (_)
F4,F7: 8.. / F4 = 8 ==>  1 pairs (_) / F7 = 8 ==>  0 pairs (_)
D6,G6: 8.. / D6 = 8 ==>  1 pairs (_) / G6 = 8 ==>  0 pairs (_)
D7,F7: 8.. / D7 = 8 ==>  1 pairs (_) / F7 = 8 ==>  0 pairs (_)
I4,G6: 8.. / I4 = 8 ==>  1 pairs (_) / G6 = 8 ==>  0 pairs (_)
G3,I3: 8.. / G3 = 8 ==>  1 pairs (_) / I3 = 8 ==>  0 pairs (_)
E8,H8: 5.. / E8 = 5 ==>  0 pairs (_) / H8 = 5 ==>  1 pairs (_)
E7,E8: 5.. / E7 = 5 ==>  1 pairs (_) / E8 = 5 ==>  0 pairs (_)
* DURATION: 0:01:27.136690  START: 07:57:14.831282  END: 07:58:41.967972 2020-12-13
* REASONING I1,I7: 5..
* DIS # I7: 5 # H3: 1,2 => CTR => H3: 3,4,9
* DIS # I7: 5 + H3: 3,4,9 # B7: 3,7 => CTR => B7: 4,6,9
* DIS # I7: 5 + H3: 3,4,9 + B7: 4,6,9 # B9: 3,7 => CTR => B9: 4
* DIS # I7: 5 + H3: 3,4,9 + B7: 4,6,9 + B9: 4 => CTR => I7: 6,7,9
* STA I7: 6,7,9
* CNT   4 HDP CHAINS /  13 HYP OPENED
* REASONING H1,I1: 5..
* DIS # H1: 5 # H3: 1,2 => CTR => H3: 3,4,9
* DIS # H1: 5 + H3: 3,4,9 # B7: 3,7 => CTR => B7: 4,6,9
* DIS # H1: 5 + H3: 3,4,9 + B7: 4,6,9 # B9: 3,7 => CTR => B9: 4
* DIS # H1: 5 + H3: 3,4,9 + B7: 4,6,9 + B9: 4 => CTR => H1: 1,2,3,4
* STA H1: 1,2,3,4
* CNT   4 HDP CHAINS /  13 HYP OPENED
* DCP COUNT: (15)
* CLUE FOUND

Header Info

33594;2012_04;GP;24;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for I1,I7: 5..:

* INC # I7: 5 # I2: 1,2 => UNS
* DIS # I7: 5 # H3: 1,2 => CTR => H3: 3,4,9
* INC # I7: 5 + H3: 3,4,9 # I3: 1,2 => UNS
* INC # I7: 5 + H3: 3,4,9 # C1: 1,2 => UNS
* INC # I7: 5 + H3: 3,4,9 # E1: 1,2 => UNS
* INC # I7: 5 + H3: 3,4,9 # I2: 1,2 => UNS
* INC # I7: 5 + H3: 3,4,9 # I3: 1,2 => UNS
* INC # I7: 5 + H3: 3,4,9 # C1: 1,2 => UNS
* INC # I7: 5 + H3: 3,4,9 # E1: 1,2 => UNS
* DIS # I7: 5 + H3: 3,4,9 # B7: 3,7 => CTR => B7: 4,6,9
* DIS # I7: 5 + H3: 3,4,9 + B7: 4,6,9 # B9: 3,7 => CTR => B9: 4
* DIS # I7: 5 + H3: 3,4,9 + B7: 4,6,9 + B9: 4 => CTR => I7: 6,7,9
* INC I7: 6,7,9 # I1: 5 => UNS
* STA I7: 6,7,9
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for H1,I1: 5..:

* INC # H1: 5 # I2: 1,2 => UNS
* DIS # H1: 5 # H3: 1,2 => CTR => H3: 3,4,9
* INC # H1: 5 + H3: 3,4,9 # I3: 1,2 => UNS
* INC # H1: 5 + H3: 3,4,9 # C1: 1,2 => UNS
* INC # H1: 5 + H3: 3,4,9 # E1: 1,2 => UNS
* INC # H1: 5 + H3: 3,4,9 # I2: 1,2 => UNS
* INC # H1: 5 + H3: 3,4,9 # I3: 1,2 => UNS
* INC # H1: 5 + H3: 3,4,9 # C1: 1,2 => UNS
* INC # H1: 5 + H3: 3,4,9 # E1: 1,2 => UNS
* DIS # H1: 5 + H3: 3,4,9 # B7: 3,7 => CTR => B7: 4,6,9
* DIS # H1: 5 + H3: 3,4,9 + B7: 4,6,9 # B9: 3,7 => CTR => B9: 4
* DIS # H1: 5 + H3: 3,4,9 + B7: 4,6,9 + B9: 4 => CTR => H1: 1,2,3,4
* INC H1: 1,2,3,4 # I1: 5 => UNS
* STA H1: 1,2,3,4
* CNT  13 HDP CHAINS /  13 HYP OPENED

Full list of HDP chains traversed for A5,B5: 3..:

* INC # A5: 3 # C2: 1,6 => UNS
* INC # A5: 3 # C2: 2,3,4 => UNS
* INC # A5: 3 # D3: 1,6 => UNS
* INC # A5: 3 # E3: 1,6 => UNS
* INC # A5: 3 # A6: 1,6 => UNS
* INC # A5: 3 # A6: 7 => UNS
* INC # A5: 3 # B7: 6,7 => UNS
* INC # A5: 3 # B9: 6,7 => UNS
* INC # A5: 3 # E9: 6,7 => UNS
* INC # A5: 3 # F9: 6,7 => UNS
* INC # A5: 3 # I9: 6,7 => UNS
* INC # A5: 3 # A6: 6,7 => UNS
* INC # A5: 3 # A6: 1 => UNS
* INC # A5: 3 => UNS
* INC # B5: 3 # A6: 1,7 => UNS
* INC # B5: 3 # A6: 6 => UNS
* INC # B5: 3 # E5: 1,7 => UNS
* INC # B5: 3 # F5: 1,7 => UNS
* INC # B5: 3 # I5: 1,7 => UNS
* INC # B5: 3 # I4: 1,9 => UNS
* INC # B5: 3 # I5: 1,9 => UNS
* INC # B5: 3 # H6: 1,9 => UNS
* INC # B5: 3 # C4: 1,9 => UNS
* INC # B5: 3 # F4: 1,9 => UNS
* INC # B5: 3 # H3: 1,9 => UNS
* INC # B5: 3 # H3: 2,3,4 => UNS
* INC # B5: 3 => UNS
* CNT  27 HDP CHAINS /  27 HYP OPENED

Full list of HDP chains traversed for I7,I9: 6..:

* INC # I7: 6 # G8: 2,7 => UNS
* INC # I7: 6 # G9: 2,7 => UNS
* INC # I7: 6 # E9: 2,7 => UNS
* INC # I7: 6 # E9: 1,4,6 => UNS
* INC # I7: 6 # I4: 2,7 => UNS
* INC # I7: 6 # I5: 2,7 => UNS
* INC # I7: 6 => UNS
* INC # I9: 6 # B7: 3,7 => UNS
* INC # I9: 6 # B9: 3,7 => UNS
* INC # I9: 6 # F9: 3,7 => UNS
* INC # I9: 6 # G9: 3,7 => UNS
* INC # I9: 6 # A5: 3,7 => UNS
* INC # I9: 6 # A5: 1 => UNS
* INC # I9: 6 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for E9,F9: 1..:

* INC # E9: 1 # D2: 2,4 => UNS
* INC # E9: 1 # D3: 2,4 => UNS
* INC # E9: 1 # E3: 2,4 => UNS
* INC # E9: 1 # C1: 2,4 => UNS
* INC # E9: 1 # H1: 2,4 => UNS
* INC # E9: 1 => UNS
* INC # F9: 1 # D2: 3,4 => UNS
* INC # F9: 1 # F2: 3,4 => UNS
* INC # F9: 1 # D3: 3,4 => UNS
* INC # F9: 1 # C1: 3,4 => UNS
* INC # F9: 1 # H1: 3,4 => UNS
* INC # F9: 1 # F7: 3,4 => UNS
* INC # F9: 1 # F7: 6,7,8 => UNS
* INC # F9: 1 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for F2,E3: 9..:

* INC # F2: 9 # H1: 1,2 => UNS
* INC # F2: 9 # I1: 1,2 => UNS
* INC # F2: 9 # H3: 1,2 => UNS
* INC # F2: 9 # I3: 1,2 => UNS
* INC # F2: 9 # C2: 1,2 => UNS
* INC # F2: 9 # D2: 1,2 => UNS
* INC # F2: 9 # I4: 1,2 => UNS
* INC # F2: 9 # I5: 1,2 => UNS
* INC # F2: 9 => UNS
* INC # E3: 9 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for I3,I4: 8..:

* INC # I4: 8 # F4: 1,6 => UNS
* INC # I4: 8 # E6: 1,6 => UNS
* INC # I4: 8 # C4: 1,6 => UNS
* INC # I4: 8 # C4: 2,9 => UNS
* INC # I4: 8 # D2: 1,6 => UNS
* INC # I4: 8 # D3: 1,6 => UNS
* INC # I4: 8 => UNS
* INC # I3: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for G3,G6: 8..:

* INC # G3: 8 # F4: 1,6 => UNS
* INC # G3: 8 # E6: 1,6 => UNS
* INC # G3: 8 # C4: 1,6 => UNS
* INC # G3: 8 # C4: 2,9 => UNS
* INC # G3: 8 # D2: 1,6 => UNS
* INC # G3: 8 # D3: 1,6 => UNS
* INC # G3: 8 => UNS
* INC # G6: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for F4,F7: 8..:

* INC # F4: 8 # D6: 1,6 => UNS
* INC # F4: 8 # E6: 1,6 => UNS
* INC # F4: 8 # C4: 1,6 => UNS
* INC # F4: 8 # C4: 2,9 => UNS
* INC # F4: 8 # D2: 1,6 => UNS
* INC # F4: 8 # D3: 1,6 => UNS
* INC # F4: 8 => UNS
* INC # F7: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for D6,G6: 8..:

* INC # D6: 8 # F4: 1,6 => UNS
* INC # D6: 8 # E6: 1,6 => UNS
* INC # D6: 8 # C4: 1,6 => UNS
* INC # D6: 8 # C4: 2,9 => UNS
* INC # D6: 8 # D2: 1,6 => UNS
* INC # D6: 8 # D3: 1,6 => UNS
* INC # D6: 8 => UNS
* INC # G6: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for D7,F7: 8..:

* INC # D7: 8 # D6: 1,6 => UNS
* INC # D7: 8 # E6: 1,6 => UNS
* INC # D7: 8 # C4: 1,6 => UNS
* INC # D7: 8 # C4: 2,9 => UNS
* INC # D7: 8 # D2: 1,6 => UNS
* INC # D7: 8 # D3: 1,6 => UNS
* INC # D7: 8 => UNS
* INC # F7: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for I4,G6: 8..:

* INC # I4: 8 # F4: 1,6 => UNS
* INC # I4: 8 # E6: 1,6 => UNS
* INC # I4: 8 # C4: 1,6 => UNS
* INC # I4: 8 # C4: 2,9 => UNS
* INC # I4: 8 # D2: 1,6 => UNS
* INC # I4: 8 # D3: 1,6 => UNS
* INC # I4: 8 => UNS
* INC # G6: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for G3,I3: 8..:

* INC # G3: 8 # F4: 1,6 => UNS
* INC # G3: 8 # E6: 1,6 => UNS
* INC # G3: 8 # C4: 1,6 => UNS
* INC # G3: 8 # C4: 2,9 => UNS
* INC # G3: 8 # D2: 1,6 => UNS
* INC # G3: 8 # D3: 1,6 => UNS
* INC # G3: 8 => UNS
* INC # I3: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for E8,H8: 5..:

* INC # H8: 5 # G8: 3,9 => UNS
* INC # H8: 5 # G8: 2,7 => UNS
* INC # H8: 5 # B7: 3,9 => UNS
* INC # H8: 5 # C7: 3,9 => UNS
* INC # H8: 5 # H3: 3,9 => UNS
* INC # H8: 5 # H3: 1,2,4 => UNS
* INC # H8: 5 => UNS
* INC # E8: 5 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for E7,E8: 5..:

* INC # E7: 5 # G8: 3,9 => UNS
* INC # E7: 5 # G8: 2,7 => UNS
* INC # E7: 5 # B7: 3,9 => UNS
* INC # E7: 5 # C7: 3,9 => UNS
* INC # E7: 5 # H3: 3,9 => UNS
* INC # E7: 5 # H3: 1,2,4 => UNS
* INC # E7: 5 => UNS
* INC # E8: 5 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED