Analysis of xx-ph-00066543-12_11-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..75..6......6..8...4..8...3...5.7.8.......4..7.2.....1...7.8.9.....1.3..2 initial

Autosolve

position: 98.7..6..75..6......6..8...47.8...3...5.7.8.......4..7.2...7.1...7.8.9.....1.3..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

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

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

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:49.355530

List of important HDP chains detected for H3,H9: 7..:

* DIS # H9: 7 # A8: 3,5 # A6: 1,2 => CTR => A6: 6,8
* DIS # H9: 7 # A8: 3,5 + A6: 6,8 # G7: 4 => CTR => G7: 3,5
* DIS # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 # D8: 2,5 => CTR => D8: 4
* PRF # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 # E3: 3 => SOL
* STA # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 + E3: 3
* CNT   4 HDP CHAINS /  41 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..75..6......6..8...4..8...3...5.7.8.......4..7.2.....1...7.8.9.....1.3..2 initial
98.7..6..75..6......6..8...47.8...3...5.7.8.......4..7.2...7.1...7.8.9.....1.3..2 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A8,B8: 1.. / A8 = 1  =>  1 pairs (_) / B8 = 1  =>  1 pairs (_)
D8,F8: 2.. / D8 = 2  =>  1 pairs (_) / F8 = 2  =>  2 pairs (_)
H5,I5: 4.. / H5 = 4  =>  2 pairs (_) / I5 = 4  =>  0 pairs (_)
F4,I4: 6.. / F4 = 6  =>  1 pairs (_) / I4 = 6  =>  0 pairs (_)
G3,H3: 7.. / G3 = 7  =>  3 pairs (_) / H3 = 7  =>  0 pairs (_)
G9,H9: 7.. / G9 = 7  =>  0 pairs (_) / H9 = 7  =>  3 pairs (_)
G3,G9: 7.. / G3 = 7  =>  3 pairs (_) / G9 = 7  =>  0 pairs (_)
H3,H9: 7.. / H3 = 7  =>  0 pairs (_) / H9 = 7  =>  3 pairs (_)
H2,I2: 8.. / H2 = 8  =>  0 pairs (_) / I2 = 8  =>  2 pairs (_)
A6,C6: 8.. / A6 = 8  =>  1 pairs (_) / C6 = 8  =>  1 pairs (_)
I7,H9: 8.. / I7 = 8  =>  0 pairs (_) / H9 = 8  =>  2 pairs (_)
H2,H9: 8.. / H2 = 8  =>  0 pairs (_) / H9 = 8  =>  2 pairs (_)
I2,I7: 8.. / I2 = 8  =>  2 pairs (_) / I7 = 8  =>  0 pairs (_)
* DURATION: 0:00:08.617919  START: 10:48:16.630343  END: 10:48:25.248262 2020-12-22
* CP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H3,H9: 7.. / H3 = 7 ==>  0 pairs (_) / H9 = 7 ==>  3 pairs (_)
G3,G9: 7.. / G3 = 7 ==>  3 pairs (_) / G9 = 7 ==>  0 pairs (_)
G9,H9: 7.. / G9 = 7 ==>  0 pairs (_) / H9 = 7 ==>  3 pairs (_)
G3,H3: 7.. / G3 = 7 ==>  3 pairs (_) / H3 = 7 ==>  0 pairs (_)
D8,F8: 2.. / D8 = 2 ==>  1 pairs (_) / F8 = 2 ==>  2 pairs (_)
I2,I7: 8.. / I2 = 8 ==>  2 pairs (_) / I7 = 8 ==>  0 pairs (_)
H2,H9: 8.. / H2 = 8 ==>  0 pairs (_) / H9 = 8 ==>  2 pairs (_)
I7,H9: 8.. / I7 = 8 ==>  0 pairs (_) / H9 = 8 ==>  2 pairs (_)
H2,I2: 8.. / H2 = 8 ==>  0 pairs (_) / I2 = 8 ==>  2 pairs (_)
H5,I5: 4.. / H5 = 4 ==>  2 pairs (_) / I5 = 4 ==>  0 pairs (_)
A6,C6: 8.. / A6 = 8 ==>  1 pairs (_) / C6 = 8 ==>  1 pairs (_)
A8,B8: 1.. / A8 = 1 ==>  1 pairs (_) / B8 = 1 ==>  1 pairs (_)
F4,I4: 6.. / F4 = 6 ==>  1 pairs (_) / I4 = 6 ==>  0 pairs (_)
* DURATION: 0:01:15.698970  START: 10:48:25.248815  END: 10:49:40.947785 2020-12-22
* DCP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
H3,H9: 7.. / H3 = 7  =>  0 pairs (X) / H9 = 7 ==>  0 pairs (*)
* DURATION: 0:00:49.352475  START: 10:49:41.092280  END: 10:50:30.444755 2020-12-22
* REASONING H3,H9: 7..
* DIS # H9: 7 # A8: 3,5 # A6: 1,2 => CTR => A6: 6,8
* DIS # H9: 7 # A8: 3,5 + A6: 6,8 # G7: 4 => CTR => G7: 3,5
* DIS # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 # D8: 2,5 => CTR => D8: 4
* PRF # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 # E3: 3 => SOL
* STA # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 + E3: 3
* CNT   4 HDP CHAINS /  41 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

66543;12_11;GP;25;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H3,H9: 7..:

* INC # H9: 7 # A8: 3,5 => UNS
* INC # H9: 7 # A8: 1 => UNS
* INC # H9: 7 # G7: 3,5 => UNS
* INC # H9: 7 # G7: 4 => UNS
* INC # H9: 7 # D8: 2,5 => UNS
* INC # H9: 7 # D8: 4 => UNS
* INC # H9: 7 # F1: 2,5 => UNS
* INC # H9: 7 # F4: 2,5 => UNS
* INC # H9: 7 # G7: 4,5 => UNS
* INC # H9: 7 # H8: 4,5 => UNS
* INC # H9: 7 # I8: 4,5 => UNS
* INC # H9: 7 # E9: 4,5 => UNS
* INC # H9: 7 # E9: 9 => UNS
* INC # H9: 7 => UNS
* INC # H3: 7 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for G3,G9: 7..:

* INC # G3: 7 # A8: 3,5 => UNS
* INC # G3: 7 # A8: 1 => UNS
* INC # G3: 7 # G7: 3,5 => UNS
* INC # G3: 7 # G7: 4 => UNS
* INC # G3: 7 # D8: 2,5 => UNS
* INC # G3: 7 # D8: 4 => UNS
* INC # G3: 7 # F1: 2,5 => UNS
* INC # G3: 7 # F4: 2,5 => UNS
* INC # G3: 7 # G7: 4,5 => UNS
* INC # G3: 7 # H8: 4,5 => UNS
* INC # G3: 7 # I8: 4,5 => UNS
* INC # G3: 7 # E9: 4,5 => UNS
* INC # G3: 7 # E9: 9 => UNS
* INC # G3: 7 => UNS
* INC # G9: 7 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for G9,H9: 7..:

* INC # H9: 7 # A8: 3,5 => UNS
* INC # H9: 7 # A8: 1 => UNS
* INC # H9: 7 # G7: 3,5 => UNS
* INC # H9: 7 # G7: 4 => UNS
* INC # H9: 7 # D8: 2,5 => UNS
* INC # H9: 7 # D8: 4 => UNS
* INC # H9: 7 # F1: 2,5 => UNS
* INC # H9: 7 # F4: 2,5 => UNS
* INC # H9: 7 # G7: 4,5 => UNS
* INC # H9: 7 # H8: 4,5 => UNS
* INC # H9: 7 # I8: 4,5 => UNS
* INC # H9: 7 # E9: 4,5 => UNS
* INC # H9: 7 # E9: 9 => UNS
* INC # H9: 7 => UNS
* INC # G9: 7 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

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

* INC # G3: 7 # A8: 3,5 => UNS
* INC # G3: 7 # A8: 1 => UNS
* INC # G3: 7 # G7: 3,5 => UNS
* INC # G3: 7 # G7: 4 => UNS
* INC # G3: 7 # D8: 2,5 => UNS
* INC # G3: 7 # D8: 4 => UNS
* INC # G3: 7 # F1: 2,5 => UNS
* INC # G3: 7 # F4: 2,5 => UNS
* INC # G3: 7 # G7: 4,5 => UNS
* INC # G3: 7 # H8: 4,5 => UNS
* INC # G3: 7 # I8: 4,5 => UNS
* INC # G3: 7 # E9: 4,5 => UNS
* INC # G3: 7 # E9: 9 => UNS
* INC # G3: 7 => UNS
* INC # H3: 7 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for D8,F8: 2..:

* INC # F8: 2 # E1: 1,5 => UNS
* INC # F8: 2 # E3: 1,5 => UNS
* INC # F8: 2 # I1: 1,5 => UNS
* INC # F8: 2 # I1: 3,4 => UNS
* INC # F8: 2 # F4: 1,5 => UNS
* INC # F8: 2 # F4: 6,9 => UNS
* INC # F8: 2 # E3: 1,9 => UNS
* INC # F8: 2 # E3: 2,3,4,5 => UNS
* INC # F8: 2 # I2: 1,9 => UNS
* INC # F8: 2 # I2: 3,4,8 => UNS
* INC # F8: 2 # F4: 1,9 => UNS
* INC # F8: 2 # F5: 1,9 => UNS
* INC # F8: 2 => UNS
* INC # D8: 2 # D7: 5,6 => UNS
* INC # D8: 2 # D7: 4,9 => UNS
* INC # D8: 2 # A8: 5,6 => UNS
* INC # D8: 2 # H8: 5,6 => UNS
* INC # D8: 2 # I8: 5,6 => UNS
* INC # D8: 2 # F4: 5,6 => UNS
* INC # D8: 2 # F4: 1,2,9 => UNS
* INC # D8: 2 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for I2,I7: 8..:

* INC # I2: 8 # C7: 4,9 => UNS
* INC # I2: 8 # B9: 4,9 => UNS
* INC # I2: 8 # E9: 4,9 => UNS
* INC # I2: 8 # E9: 5 => UNS
* INC # I2: 8 => UNS
* INC # I7: 8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

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

* INC # H9: 8 # C7: 4,9 => UNS
* INC # H9: 8 # B9: 4,9 => UNS
* INC # H9: 8 # E9: 4,9 => UNS
* INC # H9: 8 # E9: 5 => UNS
* INC # H9: 8 => UNS
* INC # H2: 8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for I7,H9: 8..:

* INC # H9: 8 # C7: 4,9 => UNS
* INC # H9: 8 # B9: 4,9 => UNS
* INC # H9: 8 # E9: 4,9 => UNS
* INC # H9: 8 # E9: 5 => UNS
* INC # H9: 8 => UNS
* INC # I7: 8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

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

* INC # I2: 8 # C7: 4,9 => UNS
* INC # I2: 8 # B9: 4,9 => UNS
* INC # I2: 8 # E9: 4,9 => UNS
* INC # I2: 8 # E9: 5 => UNS
* INC # I2: 8 => UNS
* INC # H2: 8 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for H5,I5: 4..:

* INC # H5: 4 # G3: 2,5 => UNS
* INC # H5: 4 # H3: 2,5 => UNS
* INC # H5: 4 # E1: 2,5 => UNS
* INC # H5: 4 # F1: 2,5 => UNS
* INC # H5: 4 # H6: 2,5 => UNS
* INC # H5: 4 # H6: 6,9 => UNS
* INC # H5: 4 # I7: 5,6 => UNS
* INC # H5: 4 # I8: 5,6 => UNS
* INC # H5: 4 # H9: 5,6 => UNS
* INC # H5: 4 # A8: 5,6 => UNS
* INC # H5: 4 # D8: 5,6 => UNS
* INC # H5: 4 # F8: 5,6 => UNS
* INC # H5: 4 # H6: 5,6 => UNS
* INC # H5: 4 # H6: 2,9 => UNS
* INC # H5: 4 => UNS
* INC # I5: 4 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for A6,C6: 8..:

* INC # A6: 8 # A7: 5,6 => UNS
* INC # A6: 8 # A8: 5,6 => UNS
* INC # A6: 8 # H9: 5,6 => UNS
* INC # A6: 8 # H9: 4,7,8 => UNS
* INC # A6: 8 => UNS
* INC # C6: 8 # C7: 4,9 => UNS
* INC # C6: 8 # B9: 4,9 => UNS
* INC # C6: 8 # E9: 4,9 => UNS
* INC # C6: 8 # E9: 5 => UNS
* INC # C6: 8 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for A8,B8: 1..:

* INC # A8: 1 # C1: 2,3 => UNS
* INC # A8: 1 # C2: 2,3 => UNS
* INC # A8: 1 # D3: 2,3 => UNS
* INC # A8: 1 # E3: 2,3 => UNS
* INC # A8: 1 # G3: 2,3 => UNS
* INC # A8: 1 # A5: 2,3 => UNS
* INC # A8: 1 # A6: 2,3 => UNS
* INC # A8: 1 => UNS
* INC # B8: 1 # C1: 3,4 => UNS
* INC # B8: 1 # C2: 3,4 => UNS
* INC # B8: 1 # D3: 3,4 => UNS
* INC # B8: 1 # E3: 3,4 => UNS
* INC # B8: 1 # G3: 3,4 => UNS
* INC # B8: 1 # I3: 3,4 => UNS
* INC # B8: 1 => UNS
* CNT  15 HDP CHAINS /  15 HYP OPENED

Full list of HDP chains traversed for F4,I4: 6..:

* INC # F4: 6 # D8: 2,5 => UNS
* INC # F4: 6 # D8: 4,6 => UNS
* INC # F4: 6 # F1: 2,5 => UNS
* INC # F4: 6 # F1: 1 => UNS
* INC # F4: 6 => UNS
* INC # I4: 6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for H3,H9: 7..:

* INC # H9: 7 # A8: 3,5 => UNS
* INC # H9: 7 # A8: 1 => UNS
* INC # H9: 7 # G7: 3,5 => UNS
* INC # H9: 7 # G7: 4 => UNS
* INC # H9: 7 # D8: 2,5 => UNS
* INC # H9: 7 # D8: 4 => UNS
* INC # H9: 7 # F1: 2,5 => UNS
* INC # H9: 7 # F4: 2,5 => UNS
* INC # H9: 7 # G7: 4,5 => UNS
* INC # H9: 7 # H8: 4,5 => UNS
* INC # H9: 7 # I8: 4,5 => UNS
* INC # H9: 7 # E9: 4,5 => UNS
* INC # H9: 7 # E9: 9 => UNS
* INC # H9: 7 # A8: 3,5 # C1: 1,2 => UNS
* INC # H9: 7 # A8: 3,5 # C2: 1,2 => UNS
* INC # H9: 7 # A8: 3,5 # E3: 1,2 => UNS
* INC # H9: 7 # A8: 3,5 # E3: 3,4,5 => UNS
* INC # H9: 7 # A8: 3,5 # A5: 1,2 => UNS
* DIS # H9: 7 # A8: 3,5 # A6: 1,2 => CTR => A6: 6,8
* INC # H9: 7 # A8: 3,5 + A6: 6,8 # C1: 1,2 => UNS
* INC # H9: 7 # A8: 3,5 + A6: 6,8 # C2: 1,2 => UNS
* INC # H9: 7 # A8: 3,5 + A6: 6,8 # E3: 1,2 => UNS
* INC # H9: 7 # A8: 3,5 + A6: 6,8 # E3: 3,4,5 => UNS
* INC # H9: 7 # A8: 3,5 + A6: 6,8 # C1: 3,4 => UNS
* INC # H9: 7 # A8: 3,5 + A6: 6,8 # C2: 3,4 => UNS
* INC # H9: 7 # A8: 3,5 + A6: 6,8 # D3: 3,4 => UNS
* INC # H9: 7 # A8: 3,5 + A6: 6,8 # E3: 3,4 => UNS
* INC # H9: 7 # A8: 3,5 + A6: 6,8 # I3: 3,4 => UNS
* INC # H9: 7 # A8: 3,5 + A6: 6,8 # G7: 3,5 => UNS
* DIS # H9: 7 # A8: 3,5 + A6: 6,8 # G7: 4 => CTR => G7: 3,5
* INC # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 # B9: 4,9 => UNS
* INC # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 # C9: 4,9 => UNS
* INC # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 # I8: 3,5 => UNS
* INC # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 # I8: 4,6 => UNS
* DIS # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 # D8: 2,5 => CTR => D8: 4
* INC # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 # C1: 1,2 => UNS
* INC # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 # C2: 1,2 => UNS
* INC # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 # E3: 1,2 => UNS
* PRF # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 # E3: 3 => SOL
* STA # H9: 7 # A8: 3,5 + A6: 6,8 + G7: 3,5 + D8: 4 + E3: 3
* CNT  39 HDP CHAINS /  41 HYP OPENED