Analysis of xx-ph-00279447-12_12_03-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: ........1....23.4...25..6....3..57...8.2.....9..67......6.5.3...9.....8.1.......4 initial

Autosolve

position: ........1....23.4...25..6....3..57...8.23....9..67......6.5.3...9.....8.1.......4 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

Deep Constraint Pair Analysis

Time used: 0:00:00.000010

List of important HDP chains detected for H7,G8: 1..:

* DIS # H7: 1 # I8: 2,5 => CTR => I8: 6,7
* CNT   1 HDP CHAINS /  33 HYP OPENED

List of important HDP chains detected for A5,C5: 7..:

* DIS # C5: 7 # A8: 4,5 => CTR => A8: 2,3,7
* CNT   1 HDP CHAINS /  11 HYP OPENED

List of important HDP chains detected for G1,H1: 2..:

* DIS # G1: 2 # H9: 5,9 => CTR => H9: 2,6,7
* CNT   1 HDP CHAINS /  11 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: 0:00:35.768444

List of important HDP chains detected for A7,C9: 8..:

* DIS # A7: 8 # D1: 8,9 # D2: 8,9 => CTR => D2: 1,7
* DIS # A7: 8 # D1: 8,9 + D2: 1,7 # I2: 8,9 => CTR => I2: 5,7
* PRF # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # E8: 1 => SOL
* STA # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 + E8: 1
* CNT   3 HDP CHAINS /  27 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

........1....23.4...25..6....3..57...8.2.....9..67......6.5.3...9.....8.1.......4 initial
........1....23.4...25..6....3..57...8.23....9..67......6.5.3...9.....8.1.......4 autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H7,G8: 1.. / H7 = 1  =>  3 pairs (_) / G8 = 1  =>  1 pairs (_)
G1,H1: 2.. / G1 = 2  =>  2 pairs (_) / H1 = 2  =>  0 pairs (_)
H6,I6: 3.. / H6 = 3  =>  1 pairs (_) / I6 = 3  =>  0 pairs (_)
A8,B9: 3.. / A8 = 3  =>  0 pairs (_) / B9 = 3  =>  0 pairs (_)
D8,D9: 3.. / D8 = 3  =>  0 pairs (_) / D9 = 3  =>  0 pairs (_)
A8,D8: 3.. / A8 = 3  =>  0 pairs (_) / D8 = 3  =>  0 pairs (_)
B9,D9: 3.. / B9 = 3  =>  0 pairs (_) / D9 = 3  =>  0 pairs (_)
I3,I6: 3.. / I3 = 3  =>  1 pairs (_) / I6 = 3  =>  0 pairs (_)
G5,G6: 4.. / G5 = 4  =>  1 pairs (_) / G6 = 4  =>  2 pairs (_)
A2,B2: 6.. / A2 = 6  =>  1 pairs (_) / B2 = 6  =>  0 pairs (_)
E1,F1: 6.. / E1 = 6  =>  2 pairs (_) / F1 = 6  =>  0 pairs (_)
I8,H9: 6.. / I8 = 6  =>  2 pairs (_) / H9 = 6  =>  1 pairs (_)
B2,B4: 6.. / B2 = 6  =>  0 pairs (_) / B4 = 6  =>  1 pairs (_)
A5,C5: 7.. / A5 = 7  =>  0 pairs (_) / C5 = 7  =>  2 pairs (_)
A7,C9: 8.. / A7 = 8  =>  3 pairs (_) / C9 = 8  =>  1 pairs (_)
C1,C2: 9.. / C1 = 9  =>  0 pairs (_) / C2 = 9  =>  1 pairs (_)
* DURATION: 0:00:11.053561  START: 17:19:25.004384  END: 17:19:36.057945 2020-12-24
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A7,C9: 8.. / A7 = 8 ==>  3 pairs (_) / C9 = 8 ==>  1 pairs (_)
H7,G8: 1.. / H7 = 1 ==>  4 pairs (_) / G8 = 1 ==>  1 pairs (_)
I8,H9: 6.. / I8 = 6 ==>  2 pairs (_) / H9 = 6 ==>  1 pairs (_)
G5,G6: 4.. / G5 = 4 ==>  1 pairs (_) / G6 = 4 ==>  2 pairs (_)
A5,C5: 7.. / A5 = 7 ==>  0 pairs (_) / C5 = 7 ==>  2 pairs (_)
E1,F1: 6.. / E1 = 6 ==>  2 pairs (_) / F1 = 6 ==>  0 pairs (_)
G1,H1: 2.. / G1 = 2 ==>  2 pairs (_) / H1 = 2 ==>  0 pairs (_)
C1,C2: 9.. / C1 = 9 ==>  0 pairs (_) / C2 = 9 ==>  1 pairs (_)
B2,B4: 6.. / B2 = 6 ==>  0 pairs (_) / B4 = 6 ==>  1 pairs (_)
A2,B2: 6.. / A2 = 6 ==>  1 pairs (_) / B2 = 6 ==>  0 pairs (_)
I3,I6: 3.. / I3 = 3 ==>  1 pairs (_) / I6 = 3 ==>  0 pairs (_)
H6,I6: 3.. / H6 = 3 ==>  1 pairs (_) / I6 = 3 ==>  0 pairs (_)
B9,D9: 3.. / B9 = 3 ==>  0 pairs (_) / D9 = 3 ==>  0 pairs (_)
A8,D8: 3.. / A8 = 3 ==>  0 pairs (_) / D8 = 3 ==>  0 pairs (_)
D8,D9: 3.. / D8 = 3 ==>  0 pairs (_) / D9 = 3 ==>  0 pairs (_)
A8,B9: 3.. / A8 = 3 ==>  0 pairs (_) / B9 = 3 ==>  0 pairs (_)
* DURATION: 0:01:32.412752  START: 17:19:36.058930  END: 17:21:08.471682 2020-12-24
* REASONING H7,G8: 1..
* DIS # H7: 1 # I8: 2,5 => CTR => I8: 6,7
* CNT   1 HDP CHAINS /  33 HYP OPENED
* REASONING A5,C5: 7..
* DIS # C5: 7 # A8: 4,5 => CTR => A8: 2,3,7
* CNT   1 HDP CHAINS /  11 HYP OPENED
* REASONING G1,H1: 2..
* DIS # G1: 2 # H9: 5,9 => CTR => H9: 2,6,7
* CNT   1 HDP CHAINS /  11 HYP OPENED
* DCP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
A7,C9: 8.. / A7 = 8 ==>  0 pairs (*) / C9 = 8  =>  0 pairs (X)
* DURATION: 0:00:35.766191  START: 17:21:08.678794  END: 17:21:44.444985 2020-12-24
* REASONING A7,C9: 8..
* DIS # A7: 8 # D1: 8,9 # D2: 8,9 => CTR => D2: 1,7
* DIS # A7: 8 # D1: 8,9 + D2: 1,7 # I2: 8,9 => CTR => I2: 5,7
* PRF # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # E8: 1 => SOL
* STA # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 + E8: 1
* CNT   3 HDP CHAINS /  27 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

279447;12_12_03;dob;22;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A7,C9: 8..:

* INC # A7: 8 # D1: 8,9 => UNS
* INC # A7: 8 # E1: 8,9 => UNS
* INC # A7: 8 # F1: 8,9 => UNS
* INC # A7: 8 # G1: 8,9 => UNS
* INC # A7: 8 # D2: 8,9 => UNS
* INC # A7: 8 # G2: 8,9 => UNS
* INC # A7: 8 # I2: 8,9 => UNS
* INC # A7: 8 # A8: 5,7 => UNS
* INC # A7: 8 # C8: 5,7 => UNS
* INC # A7: 8 # B9: 5,7 => UNS
* INC # A7: 8 # H9: 5,7 => UNS
* INC # A7: 8 # H9: 2,6,9 => UNS
* INC # A7: 8 # C5: 5,7 => UNS
* INC # A7: 8 # C5: 1,4 => UNS
* INC # A7: 8 => UNS
* INC # C9: 8 # F9: 6,9 => UNS
* INC # C9: 8 # F9: 2,7 => UNS
* INC # C9: 8 # H9: 6,9 => UNS
* INC # C9: 8 # H9: 2,5,7 => UNS
* INC # C9: 8 # E1: 6,9 => UNS
* INC # C9: 8 # E1: 4,8 => UNS
* INC # C9: 8 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for H7,G8: 1..:

* INC # H7: 1 # C5: 1,4 => UNS
* INC # H7: 1 # F5: 1,4 => UNS
* INC # H7: 1 # B6: 1,4 => UNS
* INC # H7: 1 # C6: 1,4 => UNS
* INC # H7: 1 # F6: 1,4 => UNS
* DIS # H7: 1 # I8: 2,5 => CTR => I8: 6,7
* INC # H7: 1 + I8: 6,7 # G9: 2,5 => UNS
* INC # H7: 1 + I8: 6,7 # H9: 2,5 => UNS
* INC # H7: 1 + I8: 6,7 # A8: 2,5 => UNS
* INC # H7: 1 + I8: 6,7 # A8: 3,4,7 => UNS
* INC # H7: 1 + I8: 6,7 # G1: 2,5 => UNS
* INC # H7: 1 + I8: 6,7 # G1: 8,9 => UNS
* INC # H7: 1 + I8: 6,7 # C5: 1,4 => UNS
* INC # H7: 1 + I8: 6,7 # F5: 1,4 => UNS
* INC # H7: 1 + I8: 6,7 # B6: 1,4 => UNS
* INC # H7: 1 + I8: 6,7 # C6: 1,4 => UNS
* INC # H7: 1 + I8: 6,7 # F6: 1,4 => UNS
* INC # H7: 1 + I8: 6,7 # G9: 2,5 => UNS
* INC # H7: 1 + I8: 6,7 # H9: 2,5 => UNS
* INC # H7: 1 + I8: 6,7 # A8: 2,5 => UNS
* INC # H7: 1 + I8: 6,7 # A8: 3,4,7 => UNS
* INC # H7: 1 + I8: 6,7 # G1: 2,5 => UNS
* INC # H7: 1 + I8: 6,7 # G1: 8,9 => UNS
* INC # H7: 1 + I8: 6,7 # H9: 6,7 => UNS
* INC # H7: 1 + I8: 6,7 # H9: 2,5,9 => UNS
* INC # H7: 1 + I8: 6,7 # F8: 6,7 => UNS
* INC # H7: 1 + I8: 6,7 # F8: 1,2,4 => UNS
* INC # H7: 1 + I8: 6,7 => UNS
* INC # G8: 1 # F8: 4,6 => UNS
* INC # G8: 1 # F8: 2,7 => UNS
* INC # G8: 1 # E1: 4,6 => UNS
* INC # G8: 1 # E1: 8,9 => UNS
* INC # G8: 1 => UNS
* CNT  33 HDP CHAINS /  33 HYP OPENED

Full list of HDP chains traversed for I8,H9: 6..:

* INC # I8: 6 # G5: 5,9 => UNS
* INC # I8: 6 # H5: 5,9 => UNS
* INC # I8: 6 # I2: 5,9 => UNS
* INC # I8: 6 # I2: 7,8 => UNS
* INC # I8: 6 # D7: 1,4 => UNS
* INC # I8: 6 # F7: 1,4 => UNS
* INC # I8: 6 # D8: 1,4 => UNS
* INC # I8: 6 # F8: 1,4 => UNS
* INC # I8: 6 # E3: 1,4 => UNS
* INC # I8: 6 # E4: 1,4 => UNS
* INC # I8: 6 => UNS
* INC # H9: 6 # D7: 8,9 => UNS
* INC # H9: 6 # F7: 8,9 => UNS
* INC # H9: 6 # D9: 8,9 => UNS
* INC # H9: 6 # F9: 8,9 => UNS
* INC # H9: 6 # E1: 8,9 => UNS
* INC # H9: 6 # E3: 8,9 => UNS
* INC # H9: 6 # E4: 8,9 => UNS
* INC # H9: 6 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for G5,G6: 4..:

* INC # G6: 4 # C5: 1,5 => UNS
* INC # G6: 4 # B6: 1,5 => UNS
* INC # G6: 4 # H6: 1,5 => UNS
* INC # G6: 4 # H6: 2,3 => UNS
* INC # G6: 4 # C2: 1,5 => UNS
* INC # G6: 4 # C2: 7,8,9 => UNS
* INC # G6: 4 # D4: 1,8 => UNS
* INC # G6: 4 # E4: 1,8 => UNS
* INC # G6: 4 # F3: 1,8 => UNS
* INC # G6: 4 # F7: 1,8 => UNS
* INC # G6: 4 => UNS
* INC # G5: 4 # D4: 1,9 => UNS
* INC # G5: 4 # E4: 1,9 => UNS
* INC # G5: 4 # H5: 1,9 => UNS
* INC # G5: 4 # H5: 5,6 => UNS
* INC # G5: 4 # F3: 1,9 => UNS
* INC # G5: 4 # F7: 1,9 => UNS
* INC # G5: 4 => UNS
* CNT  18 HDP CHAINS /  18 HYP OPENED

Full list of HDP chains traversed for A5,C5: 7..:

* DIS # C5: 7 # A8: 4,5 => CTR => A8: 2,3,7
* INC # C5: 7 + A8: 2,3,7 # C1: 4,5 => UNS
* INC # C5: 7 + A8: 2,3,7 # C6: 4,5 => UNS
* INC # C5: 7 + A8: 2,3,7 # C1: 5,8 => UNS
* INC # C5: 7 + A8: 2,3,7 # C2: 5,8 => UNS
* INC # C5: 7 + A8: 2,3,7 # C1: 4,5 => UNS
* INC # C5: 7 + A8: 2,3,7 # C6: 4,5 => UNS
* INC # C5: 7 + A8: 2,3,7 # C1: 5,8 => UNS
* INC # C5: 7 + A8: 2,3,7 # C2: 5,8 => UNS
* INC # C5: 7 + A8: 2,3,7 => UNS
* INC # A5: 7 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for E1,F1: 6..:

* INC # E1: 6 # D7: 1,4 => UNS
* INC # E1: 6 # F7: 1,4 => UNS
* INC # E1: 6 # D8: 1,4 => UNS
* INC # E1: 6 # F8: 1,4 => UNS
* INC # E1: 6 # E3: 1,4 => UNS
* INC # E1: 6 # E4: 1,4 => UNS
* INC # E1: 6 # D7: 8,9 => UNS
* INC # E1: 6 # F7: 8,9 => UNS
* INC # E1: 6 # D9: 8,9 => UNS
* INC # E1: 6 # F9: 8,9 => UNS
* INC # E1: 6 # E3: 8,9 => UNS
* INC # E1: 6 # E4: 8,9 => UNS
* INC # E1: 6 => UNS
* INC # F1: 6 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for G1,H1: 2..:

* INC # G1: 2 # G5: 1,5 => UNS
* INC # G1: 2 # G6: 1,5 => UNS
* DIS # G1: 2 # H9: 5,9 => CTR => H9: 2,6,7
* INC # G1: 2 + H9: 2,6,7 # G2: 5,9 => UNS
* INC # G1: 2 + H9: 2,6,7 # G5: 5,9 => UNS
* INC # G1: 2 + H9: 2,6,7 # G5: 1,5 => UNS
* INC # G1: 2 + H9: 2,6,7 # G6: 1,5 => UNS
* INC # G1: 2 + H9: 2,6,7 # G2: 5,9 => UNS
* INC # G1: 2 + H9: 2,6,7 # G5: 5,9 => UNS
* INC # G1: 2 + H9: 2,6,7 => UNS
* INC # H1: 2 => UNS
* CNT  11 HDP CHAINS /  11 HYP OPENED

Full list of HDP chains traversed for C1,C2: 9..:

* INC # C2: 9 # G1: 5,8 => UNS
* INC # C2: 9 # I2: 5,8 => UNS
* INC # C2: 9 # A2: 5,8 => UNS
* INC # C2: 9 # A2: 6,7 => UNS
* INC # C2: 9 # G6: 5,8 => UNS
* INC # C2: 9 # G6: 1,2,4 => UNS
* INC # C2: 9 => UNS
* INC # C1: 9 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for B2,B4: 6..:

* INC # B4: 6 # B6: 2,4 => UNS
* INC # B4: 6 # B6: 1,5 => UNS
* INC # B4: 6 # A7: 2,4 => UNS
* INC # B4: 6 # A8: 2,4 => UNS
* INC # B4: 6 => UNS
* INC # B2: 6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for A2,B2: 6..:

* INC # A2: 6 # B6: 2,4 => UNS
* INC # A2: 6 # B6: 1,5 => UNS
* INC # A2: 6 # A7: 2,4 => UNS
* INC # A2: 6 # A8: 2,4 => UNS
* INC # A2: 6 => UNS
* INC # B2: 6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for I3,I6: 3..:

* INC # I3: 3 # H1: 7,9 => UNS
* INC # I3: 3 # I2: 7,9 => UNS
* INC # I3: 3 # F3: 7,9 => UNS
* INC # I3: 3 # F3: 1,4,8 => UNS
* INC # I3: 3 # H7: 7,9 => UNS
* INC # I3: 3 # H9: 7,9 => UNS
* INC # I3: 3 => UNS
* INC # I6: 3 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for H6,I6: 3..:

* INC # H6: 3 # H1: 7,9 => UNS
* INC # H6: 3 # I2: 7,9 => UNS
* INC # H6: 3 # F3: 7,9 => UNS
* INC # H6: 3 # F3: 1,4,8 => UNS
* INC # H6: 3 # H7: 7,9 => UNS
* INC # H6: 3 # H9: 7,9 => UNS
* INC # H6: 3 => UNS
* INC # I6: 3 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for B9,D9: 3..:

* INC # B9: 3 => UNS
* INC # D9: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A8,D8: 3..:

* INC # A8: 3 => UNS
* INC # D8: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for D8,D9: 3..:

* INC # D8: 3 => UNS
* INC # D9: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for A8,B9: 3..:

* INC # A8: 3 => UNS
* INC # B9: 3 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for A7,C9: 8..:

* INC # A7: 8 # D1: 8,9 => UNS
* INC # A7: 8 # E1: 8,9 => UNS
* INC # A7: 8 # F1: 8,9 => UNS
* INC # A7: 8 # G1: 8,9 => UNS
* INC # A7: 8 # D2: 8,9 => UNS
* INC # A7: 8 # G2: 8,9 => UNS
* INC # A7: 8 # I2: 8,9 => UNS
* INC # A7: 8 # A8: 5,7 => UNS
* INC # A7: 8 # C8: 5,7 => UNS
* INC # A7: 8 # B9: 5,7 => UNS
* INC # A7: 8 # H9: 5,7 => UNS
* INC # A7: 8 # H9: 2,6,9 => UNS
* INC # A7: 8 # C5: 5,7 => UNS
* INC # A7: 8 # C5: 1,4 => UNS
* DIS # A7: 8 # D1: 8,9 # D2: 8,9 => CTR => D2: 1,7
* INC # A7: 8 # D1: 8,9 + D2: 1,7 # G2: 8,9 => UNS
* DIS # A7: 8 # D1: 8,9 + D2: 1,7 # I2: 8,9 => CTR => I2: 5,7
* INC # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # E3: 8,9 => UNS
* INC # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # F3: 8,9 => UNS
* INC # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # D4: 8,9 => UNS
* INC # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # D9: 8,9 => UNS
* INC # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # F1: 4,6 => UNS
* INC # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # F1: 7 => UNS
* INC # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # E8: 4,6 => UNS
* PRF # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 # E8: 1 => SOL
* STA # A7: 8 # D1: 8,9 + D2: 1,7 + I2: 5,7 + E8: 1
* CNT  25 HDP CHAINS /  27 HYP OPENED