Analysis of xx-ph-00062549-12_11-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..5...9......4..8.7.6...3.8...9.........5..2..1.5..8.3.....1...4......7..2 initial

Autosolve

position: 98.7..6..5...9......4..8.7.6...3.8...9.........5..2..1.5..8.3.....1...4......7..2 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

Time used: 0:00:00.000009

List of important HDP chains detected for G3,I3: 9..:

* DIS # G3: 9 # I8: 5,7 => CTR => I8: 6,8,9
* DIS # G3: 9 + I8: 6,8,9 # H9: 1,5 => CTR => H9: 6,8,9
* CNT   2 HDP CHAINS /  36 HYP OPENED

List of important HDP chains detected for B2,C2: 7..:

* DIS # C2: 7 # B4: 1,2 => CTR => B4: 4,7
* CNT   1 HDP CHAINS /  20 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:43.384697

List of important HDP chains detected for G3,I3: 9..:

* DIS # G3: 9 # I8: 5,7 => CTR => I8: 6,8,9
* DIS # G3: 9 + I8: 6,8,9 # H9: 1,5 => CTR => H9: 6,8,9
* DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 # F1: 1 => CTR => F1: 3,5
* DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # I5: 6,7 => CTR => I5: 3,5
* DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 # G5: 4,7 => CTR => G5: 2
* PRF # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 + G5: 2 # C8: 6,9 => SOL
* STA # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 + G5: 2 + C8: 6,9
* CNT   6 HDP CHAINS /  44 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Details

This sudoku is very deep. Here is some information that may be helpful on how to proceed.

Positions

98.7..6..5...9......4..8.7.6...3.8...9.........5..2..1.5..8.3.....1...4......7..2 initial
98.7..6..5...9......4..8.7.6...3.8...9.........5..2..1.5..8.3.....1...4......7..2 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D7,E8: 2.. / D7 = 2  =>  1 pairs (_) / E8 = 2  =>  0 pairs (_)
F8,D9: 3.. / F8 = 3  =>  0 pairs (_) / D9 = 3  =>  0 pairs (_)
B2,C2: 7.. / B2 = 7  =>  1 pairs (_) / C2 = 7  =>  1 pairs (_)
E5,E6: 7.. / E5 = 7  =>  1 pairs (_) / E6 = 7  =>  2 pairs (_)
H2,I2: 8.. / H2 = 8  =>  1 pairs (_) / I2 = 8  =>  0 pairs (_)
D5,D6: 8.. / D5 = 8  =>  0 pairs (_) / D6 = 8  =>  1 pairs (_)
I8,H9: 8.. / I8 = 8  =>  1 pairs (_) / H9 = 8  =>  0 pairs (_)
A6,D6: 8.. / A6 = 8  =>  0 pairs (_) / D6 = 8  =>  1 pairs (_)
H2,H9: 8.. / H2 = 8  =>  1 pairs (_) / H9 = 8  =>  0 pairs (_)
I2,I8: 8.. / I2 = 8  =>  0 pairs (_) / I8 = 8  =>  1 pairs (_)
G3,I3: 9.. / G3 = 9  =>  4 pairs (_) / I3 = 9  =>  1 pairs (_)
* DURATION: 0:00:07.616404  START: 20:20:42.497929  END: 20:20:50.114333 2020-12-21
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G3,I3: 9.. / G3 = 9 ==>  4 pairs (_) / I3 = 9 ==>  1 pairs (_)
E5,E6: 7.. / E5 = 7 ==>  1 pairs (_) / E6 = 7 ==>  2 pairs (_)
B2,C2: 7.. / B2 = 7 ==>  1 pairs (_) / C2 = 7 ==>  2 pairs (_)
I2,I8: 8.. / I2 = 8 ==>  0 pairs (_) / I8 = 8 ==>  1 pairs (_)
H2,H9: 8.. / H2 = 8 ==>  1 pairs (_) / H9 = 8 ==>  0 pairs (_)
A6,D6: 8.. / A6 = 8 ==>  0 pairs (_) / D6 = 8 ==>  1 pairs (_)
I8,H9: 8.. / I8 = 8 ==>  1 pairs (_) / H9 = 8 ==>  0 pairs (_)
D5,D6: 8.. / D5 = 8 ==>  0 pairs (_) / D6 = 8 ==>  1 pairs (_)
H2,I2: 8.. / H2 = 8 ==>  1 pairs (_) / I2 = 8 ==>  0 pairs (_)
D7,E8: 2.. / D7 = 2 ==>  1 pairs (_) / E8 = 2 ==>  0 pairs (_)
F8,D9: 3.. / F8 = 3 ==>  0 pairs (_) / D9 = 3 ==>  0 pairs (_)
* DURATION: 0:01:01.127460  START: 20:20:50.115074  END: 20:21:51.242534 2020-12-21
* REASONING G3,I3: 9..
* DIS # G3: 9 # I8: 5,7 => CTR => I8: 6,8,9
* DIS # G3: 9 + I8: 6,8,9 # H9: 1,5 => CTR => H9: 6,8,9
* CNT   2 HDP CHAINS /  36 HYP OPENED
* REASONING B2,C2: 7..
* DIS # C2: 7 # B4: 1,2 => CTR => B4: 4,7
* CNT   1 HDP CHAINS /  20 HYP OPENED
* DCP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
G3,I3: 9.. / G3 = 9 ==>  0 pairs (*) / I3 = 9  =>  0 pairs (X)
* DURATION: 0:00:43.381873  START: 20:21:51.364629  END: 20:22:34.746502 2020-12-21
* REASONING G3,I3: 9..
* DIS # G3: 9 # I8: 5,7 => CTR => I8: 6,8,9
* DIS # G3: 9 + I8: 6,8,9 # H9: 1,5 => CTR => H9: 6,8,9
* DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 # F1: 1 => CTR => F1: 3,5
* DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # I5: 6,7 => CTR => I5: 3,5
* DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 # G5: 4,7 => CTR => G5: 2
* PRF # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 + G5: 2 # C8: 6,9 => SOL
* STA # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 + G5: 2 + C8: 6,9
* CNT   6 HDP CHAINS /  44 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

62549;12_11;GP;23;11.30;11.30;7.80

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G3,I3: 9..:

* INC # G3: 9 # H1: 3,5 => UNS
* INC # G3: 9 # I1: 3,5 => UNS
* INC # G3: 9 # D3: 3,5 => UNS
* INC # G3: 9 # D3: 2,6 => UNS
* INC # G3: 9 # I5: 3,5 => UNS
* INC # G3: 9 # I5: 4,6,7 => UNS
* INC # G3: 9 # I4: 4,7 => UNS
* INC # G3: 9 # G5: 4,7 => UNS
* INC # G3: 9 # I5: 4,7 => UNS
* INC # G3: 9 # A6: 4,7 => UNS
* INC # G3: 9 # B6: 4,7 => UNS
* INC # G3: 9 # E6: 4,7 => UNS
* DIS # G3: 9 # I8: 5,7 => CTR => I8: 6,8,9
* INC # G3: 9 + I8: 6,8,9 # G5: 5,7 => UNS
* INC # G3: 9 + I8: 6,8,9 # G5: 2,4 => UNS
* DIS # G3: 9 + I8: 6,8,9 # H9: 1,5 => CTR => H9: 6,8,9
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I1: 3,5 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # D3: 3,5 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # D3: 2,6 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I5: 3,5 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I5: 4,6,7 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I4: 4,7 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # G5: 4,7 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I5: 4,7 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # A6: 4,7 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # B6: 4,7 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # E6: 4,7 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 => UNS
* INC # I3: 9 # I8: 6,7 => UNS
* INC # I3: 9 # I8: 5,8 => UNS
* INC # I3: 9 # C7: 6,7 => UNS
* INC # I3: 9 # C7: 1,2,9 => UNS
* INC # I3: 9 # I5: 6,7 => UNS
* INC # I3: 9 # I5: 3,4,5 => UNS
* INC # I3: 9 => UNS
* CNT  36 HDP CHAINS /  36 HYP OPENED

Full list of HDP chains traversed for E5,E6: 7..:

* INC # E6: 7 # A5: 3,4 => UNS
* INC # E6: 7 # A6: 3,4 => UNS
* INC # E6: 7 # B9: 3,4 => UNS
* INC # E6: 7 # B9: 1,6 => UNS
* INC # E6: 7 # I4: 4,9 => UNS
* INC # E6: 7 # I4: 5,7 => UNS
* INC # E6: 7 # D6: 4,9 => UNS
* INC # E6: 7 # D6: 6,8 => UNS
* INC # E6: 7 => UNS
* INC # E5: 7 # D5: 4,6 => UNS
* INC # E5: 7 # F5: 4,6 => UNS
* INC # E5: 7 # D6: 4,6 => UNS
* INC # E5: 7 # E9: 4,6 => UNS
* INC # E5: 7 # E9: 5 => UNS
* INC # E5: 7 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for B2,C2: 7..:

* INC # B2: 7 # A5: 3,4 => UNS
* INC # B2: 7 # A6: 3,4 => UNS
* INC # B2: 7 # B9: 3,4 => UNS
* INC # B2: 7 # B9: 1,6 => UNS
* INC # B2: 7 => UNS
* DIS # C2: 7 # B4: 1,2 => CTR => B4: 4,7
* INC # C2: 7 + B4: 4,7 # A5: 1,2 => UNS
* INC # C2: 7 + B4: 4,7 # C5: 1,2 => UNS
* INC # C2: 7 + B4: 4,7 # C1: 1,2 => UNS
* INC # C2: 7 + B4: 4,7 # C7: 1,2 => UNS
* INC # C2: 7 + B4: 4,7 # A5: 4,7 => UNS
* INC # C2: 7 + B4: 4,7 # A6: 4,7 => UNS
* INC # C2: 7 + B4: 4,7 # B6: 4,7 => UNS
* INC # C2: 7 + B4: 4,7 # I4: 4,7 => UNS
* INC # C2: 7 + B4: 4,7 # I4: 5,9 => UNS
* INC # C2: 7 + B4: 4,7 # A5: 1,2 => UNS
* INC # C2: 7 + B4: 4,7 # C5: 1,2 => UNS
* INC # C2: 7 + B4: 4,7 # C1: 1,2 => UNS
* INC # C2: 7 + B4: 4,7 # C7: 1,2 => UNS
* INC # C2: 7 + B4: 4,7 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for I2,I8: 8..:

* INC # I8: 8 # I1: 3,4 => UNS
* INC # I8: 8 # I1: 5 => UNS
* INC # I8: 8 # D2: 3,4 => UNS
* INC # I8: 8 # F2: 3,4 => UNS
* INC # I8: 8 # I5: 3,4 => UNS
* INC # I8: 8 # I5: 5,6,7 => UNS
* INC # I8: 8 => UNS
* INC # I2: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for H2,H9: 8..:

* INC # H2: 8 # I1: 3,4 => UNS
* INC # H2: 8 # I1: 5 => UNS
* INC # H2: 8 # D2: 3,4 => UNS
* INC # H2: 8 # F2: 3,4 => UNS
* INC # H2: 8 # I5: 3,4 => UNS
* INC # H2: 8 # I5: 5,6,7 => UNS
* INC # H2: 8 => UNS
* INC # H9: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for A6,D6: 8..:

* INC # D6: 8 # G5: 2,5 => UNS
* INC # D6: 8 # H5: 2,5 => UNS
* INC # D6: 8 # H1: 2,5 => UNS
* INC # D6: 8 # H1: 1,3 => UNS
* INC # D6: 8 => UNS
* INC # A6: 8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for I8,H9: 8..:

* INC # I8: 8 # I1: 3,4 => UNS
* INC # I8: 8 # I1: 5 => UNS
* INC # I8: 8 # D2: 3,4 => UNS
* INC # I8: 8 # F2: 3,4 => UNS
* INC # I8: 8 # I5: 3,4 => UNS
* INC # I8: 8 # I5: 5,6,7 => UNS
* INC # I8: 8 => UNS
* INC # H9: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for D5,D6: 8..:

* INC # D6: 8 # G5: 2,5 => UNS
* INC # D6: 8 # H5: 2,5 => UNS
* INC # D6: 8 # H1: 2,5 => UNS
* INC # D6: 8 # H1: 1,3 => UNS
* INC # D6: 8 => UNS
* INC # D5: 8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for H2,I2: 8..:

* INC # H2: 8 # I1: 3,4 => UNS
* INC # H2: 8 # I1: 5 => UNS
* INC # H2: 8 # D2: 3,4 => UNS
* INC # H2: 8 # F2: 3,4 => UNS
* INC # H2: 8 # I5: 3,4 => UNS
* INC # H2: 8 # I5: 5,6,7 => UNS
* INC # H2: 8 => UNS
* INC # I2: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for D7,E8: 2..:

* INC # D7: 2 # F8: 5,6 => UNS
* INC # D7: 2 # D9: 5,6 => UNS
* INC # D7: 2 # E9: 5,6 => UNS
* INC # D7: 2 # I8: 5,6 => UNS
* INC # D7: 2 # I8: 7,8,9 => UNS
* INC # D7: 2 # E3: 5,6 => UNS
* INC # D7: 2 # E5: 5,6 => UNS
* INC # D7: 2 => UNS
* INC # E8: 2 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for F8,D9: 3..:

* INC # F8: 3 => UNS
* INC # D9: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for G3,I3: 9..:

* INC # G3: 9 # H1: 3,5 => UNS
* INC # G3: 9 # I1: 3,5 => UNS
* INC # G3: 9 # D3: 3,5 => UNS
* INC # G3: 9 # D3: 2,6 => UNS
* INC # G3: 9 # I5: 3,5 => UNS
* INC # G3: 9 # I5: 4,6,7 => UNS
* INC # G3: 9 # I4: 4,7 => UNS
* INC # G3: 9 # G5: 4,7 => UNS
* INC # G3: 9 # I5: 4,7 => UNS
* INC # G3: 9 # A6: 4,7 => UNS
* INC # G3: 9 # B6: 4,7 => UNS
* INC # G3: 9 # E6: 4,7 => UNS
* DIS # G3: 9 # I8: 5,7 => CTR => I8: 6,8,9
* INC # G3: 9 + I8: 6,8,9 # G5: 5,7 => UNS
* INC # G3: 9 + I8: 6,8,9 # G5: 2,4 => UNS
* DIS # G3: 9 + I8: 6,8,9 # H9: 1,5 => CTR => H9: 6,8,9
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I1: 3,5 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # D3: 3,5 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # D3: 2,6 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I5: 3,5 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I5: 4,6,7 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I4: 4,7 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # G5: 4,7 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # I5: 4,7 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # A6: 4,7 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # B6: 4,7 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # E6: 4,7 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 # F1: 3,5 => UNS
* DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 # F1: 1 => CTR => F1: 3,5
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # H5: 3,5 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # H5: 2,6 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # H5: 3,5 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # H5: 2,6 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # D3: 3,5 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # D3: 2,6 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # I5: 3,5 => UNS
* DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 # I5: 6,7 => CTR => I5: 3,5
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 # D3: 3,5 => UNS
* INC # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 # D3: 2,6 => UNS
* DIS # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 # G5: 4,7 => CTR => G5: 2
* PRF # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 + G5: 2 # C8: 6,9 => SOL
* STA # G3: 9 + I8: 6,8,9 + H9: 6,8,9 # H1: 3,5 + F1: 3,5 + I5: 3,5 + G5: 2 + C8: 6,9
* CNT  42 HDP CHAINS /  44 HYP OPENED