Analysis of xx-ph-00066577-12_11-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..75..6......6..8...5..4...3..2...7..4..9.8.7..1..3....2..5.7.9.......1... initial

Autosolve

position: 98.7..6..75..6......6..8...5..4...3..2...7..4..9.8.7..1..3....2..5.7.9.......1... 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

Time used: 0:00:00.000006

List of important HDP chains detected for I4,H5: 9..:

* DIS # I4: 9 # F6: 2,6 => CTR => F6: 3,5
* CNT   1 HDP CHAINS /  28 HYP OPENED

List of important HDP chains detected for B7,B9: 9..:

* DIS # B7: 9 # H7: 4,5 => CTR => H7: 6,7,8
* CNT   1 HDP CHAINS /  22 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: 0:00:19.623793

List of important HDP chains detected for B4,C4: 7..:

* PRF # C4: 7 # B6: 1,6 # G3: 2,3 => SOL
* STA # C4: 7 # B6: 1,6 + G3: 2,3
* CNT   1 HDP CHAINS /  22 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...5..4...3..2...7..4..9.8.7..1..3....2..5.7.9.......1... initial
98.7..6..75..6......6..8...5..4...3..2...7..4..9.8.7..1..3....2..5.7.9.......1... autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H8,I8: 1.. / H8 = 1  =>  0 pairs (_) / I8 = 1  =>  2 pairs (_)
G4,H6: 2.. / G4 = 2  =>  2 pairs (_) / H6 = 2  =>  1 pairs (_)
E5,F6: 3.. / E5 = 3  =>  4 pairs (_) / F6 = 3  =>  1 pairs (_)
A6,B6: 4.. / A6 = 4  =>  1 pairs (_) / B6 = 4  =>  3 pairs (_)
H3,I3: 7.. / H3 = 7  =>  0 pairs (_) / I3 = 7  =>  0 pairs (_)
B4,C4: 7.. / B4 = 7  =>  1 pairs (_) / C4 = 7  =>  5 pairs (_)
I3,I9: 7.. / I3 = 7  =>  0 pairs (_) / I9 = 7  =>  0 pairs (_)
D8,D9: 8.. / D8 = 8  =>  0 pairs (_) / D9 = 8  =>  1 pairs (_)
I4,H5: 9.. / I4 = 9  =>  2 pairs (_) / H5 = 9  =>  0 pairs (_)
B7,B9: 9.. / B7 = 9  =>  1 pairs (_) / B9 = 9  =>  0 pairs (_)
* DURATION: 0:00:05.938103  START: 11:14:27.931940  END: 11:14:33.870043 2020-12-22
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B4,C4: 7.. / B4 = 7 ==>  1 pairs (_) / C4 = 7 ==>  5 pairs (_)
E5,F6: 3.. / E5 = 3 ==>  4 pairs (_) / F6 = 3 ==>  1 pairs (_)
A6,B6: 4.. / A6 = 4 ==>  1 pairs (_) / B6 = 4 ==>  3 pairs (_)
G4,H6: 2.. / G4 = 2 ==>  2 pairs (_) / H6 = 2 ==>  1 pairs (_)
I4,H5: 9.. / I4 = 9 ==>  3 pairs (_) / H5 = 9 ==>  0 pairs (_)
H8,I8: 1.. / H8 = 1 ==>  0 pairs (_) / I8 = 1 ==>  2 pairs (_)
B7,B9: 9.. / B7 = 9 ==>  1 pairs (_) / B9 = 9 ==>  0 pairs (_)
D8,D9: 8.. / D8 = 8 ==>  0 pairs (_) / D9 = 8 ==>  1 pairs (_)
I3,I9: 7.. / I3 = 7 ==>  0 pairs (_) / I9 = 7 ==>  0 pairs (_)
H3,I3: 7.. / H3 = 7 ==>  0 pairs (_) / I3 = 7 ==>  0 pairs (_)
* DURATION: 0:01:07.715845  START: 11:14:33.870626  END: 11:15:41.586471 2020-12-22
* REASONING I4,H5: 9..
* DIS # I4: 9 # F6: 2,6 => CTR => F6: 3,5
* CNT   1 HDP CHAINS /  28 HYP OPENED
* REASONING B7,B9: 9..
* DIS # B7: 9 # H7: 4,5 => CTR => H7: 6,7,8
* CNT   1 HDP CHAINS /  22 HYP OPENED
* DCP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
B4,C4: 7.. / B4 = 7  =>  0 pairs (X) / C4 = 7 ==>  0 pairs (*)
* DURATION: 0:00:19.621143  START: 11:15:41.703001  END: 11:16:01.324144 2020-12-22
* REASONING B4,C4: 7..
* PRF # C4: 7 # B6: 1,6 # G3: 2,3 => SOL
* STA # C4: 7 # B6: 1,6 + G3: 2,3
* CNT   1 HDP CHAINS /  22 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

66577;12_11;GP;25;11.30;11.30;10.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B4,C4: 7..:

* INC # C4: 7 # B6: 1,6 => UNS
* INC # C4: 7 # B6: 3,4 => UNS
* INC # C4: 7 # I4: 1,6 => UNS
* INC # C4: 7 # I4: 8,9 => UNS
* INC # C4: 7 # H5: 1,5 => UNS
* INC # C4: 7 # H6: 1,5 => UNS
* INC # C4: 7 # I6: 1,5 => UNS
* INC # C4: 7 # D5: 1,5 => UNS
* INC # C4: 7 # E5: 1,5 => UNS
* INC # C4: 7 # G3: 1,5 => UNS
* INC # C4: 7 # G3: 2,3,4 => UNS
* INC # C4: 7 # A8: 4,8 => UNS
* INC # C4: 7 # A9: 4,8 => UNS
* INC # C4: 7 # C9: 4,8 => UNS
* INC # C4: 7 # G7: 4,8 => UNS
* INC # C4: 7 # H7: 4,8 => UNS
* INC # C4: 7 => UNS
* INC # B4: 7 # C5: 1,8 => UNS
* INC # B4: 7 # C5: 3 => UNS
* INC # B4: 7 # G4: 1,8 => UNS
* INC # B4: 7 # I4: 1,8 => UNS
* INC # B4: 7 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for E5,F6: 3..:

* INC # E5: 3 # H5: 6,8 => UNS
* INC # E5: 3 # H5: 1,5,9 => UNS
* INC # E5: 3 # A8: 6,8 => UNS
* INC # E5: 3 # A9: 6,8 => UNS
* INC # E5: 3 # C4: 1,8 => UNS
* INC # E5: 3 # C4: 7 => UNS
* INC # E5: 3 # G5: 1,8 => UNS
* INC # E5: 3 # H5: 1,8 => UNS
* INC # E5: 3 # A3: 3,4 => UNS
* INC # E5: 3 # A8: 3,4 => UNS
* INC # E5: 3 # A9: 3,4 => UNS
* INC # E5: 3 # B3: 3,4 => UNS
* INC # E5: 3 # B8: 3,4 => UNS
* INC # E5: 3 # B9: 3,4 => UNS
* INC # E5: 3 => UNS
* INC # F6: 3 # B6: 4,6 => UNS
* INC # F6: 3 # B6: 1 => UNS
* INC # F6: 3 # A8: 4,6 => UNS
* INC # F6: 3 # A9: 4,6 => UNS
* INC # F6: 3 => UNS
* CNT  20 HDP CHAINS /  20 HYP OPENED

Full list of HDP chains traversed for A6,B6: 4..:

* INC # B6: 4 # C1: 1,3 => UNS
* INC # B6: 4 # C2: 1,3 => UNS
* INC # B6: 4 # E3: 1,3 => UNS
* INC # B6: 4 # G3: 1,3 => UNS
* INC # B6: 4 # I3: 1,3 => UNS
* INC # B6: 4 # A5: 3,6 => UNS
* INC # B6: 4 # A5: 8 => UNS
* INC # B6: 4 # F6: 3,6 => UNS
* INC # B6: 4 # F6: 2,5 => UNS
* INC # B6: 4 # A8: 3,6 => UNS
* INC # B6: 4 # A9: 3,6 => UNS
* INC # B6: 4 # A8: 3,6 => UNS
* INC # B6: 4 # A9: 3,6 => UNS
* INC # B6: 4 # B9: 3,6 => UNS
* INC # B6: 4 # I8: 3,6 => UNS
* INC # B6: 4 # I8: 1,8 => UNS
* INC # B6: 4 => UNS
* INC # A6: 4 # C1: 2,3 => UNS
* INC # A6: 4 # C2: 2,3 => UNS
* INC # A6: 4 # E3: 2,3 => UNS
* INC # A6: 4 # G3: 2,3 => UNS
* INC # A6: 4 # A8: 2,3 => UNS
* INC # A6: 4 # A9: 2,3 => UNS
* INC # A6: 4 => UNS
* CNT  24 HDP CHAINS /  24 HYP OPENED

Full list of HDP chains traversed for G4,H6: 2..:

* INC # G4: 2 # D5: 1,9 => UNS
* INC # G4: 2 # E5: 1,9 => UNS
* INC # G4: 2 # I4: 1,9 => UNS
* INC # G4: 2 # I4: 6,8 => UNS
* INC # G4: 2 # E3: 1,9 => UNS
* INC # G4: 2 # E3: 2,3,4,5 => UNS
* INC # G4: 2 # D5: 6,9 => UNS
* INC # G4: 2 # D5: 1,5 => UNS
* INC # G4: 2 # I4: 6,9 => UNS
* INC # G4: 2 # I4: 1,8 => UNS
* INC # G4: 2 # F7: 6,9 => UNS
* INC # G4: 2 # F7: 4,5 => UNS
* INC # G4: 2 => UNS
* INC # H6: 2 # I4: 1,8 => UNS
* INC # H6: 2 # G5: 1,8 => UNS
* INC # H6: 2 # H5: 1,8 => UNS
* INC # H6: 2 # C4: 1,8 => UNS
* INC # H6: 2 # C4: 7 => UNS
* INC # H6: 2 # G2: 1,8 => UNS
* INC # H6: 2 # G2: 2,3,4 => UNS
* INC # H6: 2 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for I4,H5: 9..:

* INC # I4: 9 # D6: 1,2 => UNS
* INC # I4: 9 # D6: 5,6 => UNS
* INC # I4: 9 # G4: 1,2 => UNS
* INC # I4: 9 # G4: 8 => UNS
* INC # I4: 9 # E1: 1,2 => UNS
* INC # I4: 9 # E3: 1,2 => UNS
* INC # I4: 9 # D6: 2,6 => UNS
* DIS # I4: 9 # F6: 2,6 => CTR => F6: 3,5
* INC # I4: 9 + F6: 3,5 # D6: 2,6 => UNS
* INC # I4: 9 + F6: 3,5 # D6: 1,5 => UNS
* INC # I4: 9 + F6: 3,5 # F8: 2,6 => UNS
* INC # I4: 9 + F6: 3,5 # F8: 4 => UNS
* INC # I4: 9 + F6: 3,5 # D6: 1,2 => UNS
* INC # I4: 9 + F6: 3,5 # D6: 5,6 => UNS
* INC # I4: 9 + F6: 3,5 # G4: 1,2 => UNS
* INC # I4: 9 + F6: 3,5 # G4: 8 => UNS
* INC # I4: 9 + F6: 3,5 # E1: 1,2 => UNS
* INC # I4: 9 + F6: 3,5 # E3: 1,2 => UNS
* INC # I4: 9 + F6: 3,5 # D6: 2,6 => UNS
* INC # I4: 9 + F6: 3,5 # D6: 1,5 => UNS
* INC # I4: 9 + F6: 3,5 # F8: 2,6 => UNS
* INC # I4: 9 + F6: 3,5 # F8: 4 => UNS
* INC # I4: 9 + F6: 3,5 # E5: 3,5 => UNS
* INC # I4: 9 + F6: 3,5 # E5: 1,9 => UNS
* INC # I4: 9 + F6: 3,5 # F1: 3,5 => UNS
* INC # I4: 9 + F6: 3,5 # F1: 2,4 => UNS
* INC # I4: 9 + F6: 3,5 => UNS
* INC # H5: 9 => UNS
* CNT  28 HDP CHAINS /  28 HYP OPENED

Full list of HDP chains traversed for H8,I8: 1..:

* INC # I8: 1 # G3: 3,5 => UNS
* INC # I8: 1 # I3: 3,5 => UNS
* INC # I8: 1 # E1: 3,5 => UNS
* INC # I8: 1 # F1: 3,5 => UNS
* INC # I8: 1 # I9: 3,5 => UNS
* INC # I8: 1 # I9: 6,7,8 => UNS
* INC # I8: 1 # H5: 5,6 => UNS
* INC # I8: 1 # H6: 5,6 => UNS
* INC # I8: 1 # D6: 5,6 => UNS
* INC # I8: 1 # F6: 5,6 => UNS
* INC # I8: 1 # I9: 5,6 => UNS
* INC # I8: 1 # I9: 3,7,8 => UNS
* INC # I8: 1 => UNS
* INC # H8: 1 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for B7,B9: 9..:

* INC # B7: 9 # F7: 4,5 => UNS
* INC # B7: 9 # E9: 4,5 => UNS
* INC # B7: 9 # G7: 4,5 => UNS
* DIS # B7: 9 # H7: 4,5 => CTR => H7: 6,7,8
* INC # B7: 9 + H7: 6,7,8 # G7: 4,5 => UNS
* INC # B7: 9 + H7: 6,7,8 # G7: 8 => UNS
* INC # B7: 9 + H7: 6,7,8 # E1: 4,5 => UNS
* INC # B7: 9 + H7: 6,7,8 # E3: 4,5 => UNS
* INC # B7: 9 + H7: 6,7,8 # F7: 4,5 => UNS
* INC # B7: 9 + H7: 6,7,8 # E9: 4,5 => UNS
* INC # B7: 9 + H7: 6,7,8 # G7: 4,5 => UNS
* INC # B7: 9 + H7: 6,7,8 # G7: 8 => UNS
* INC # B7: 9 + H7: 6,7,8 # E1: 4,5 => UNS
* INC # B7: 9 + H7: 6,7,8 # E3: 4,5 => UNS
* INC # B7: 9 + H7: 6,7,8 # F7: 4,5 => UNS
* INC # B7: 9 + H7: 6,7,8 # E9: 4,5 => UNS
* INC # B7: 9 + H7: 6,7,8 # G7: 4,5 => UNS
* INC # B7: 9 + H7: 6,7,8 # G7: 8 => UNS
* INC # B7: 9 + H7: 6,7,8 # E1: 4,5 => UNS
* INC # B7: 9 + H7: 6,7,8 # E3: 4,5 => UNS
* INC # B7: 9 + H7: 6,7,8 => UNS
* INC # B9: 9 => UNS
* CNT  22 HDP CHAINS /  22 HYP OPENED

Full list of HDP chains traversed for D8,D9: 8..:

* INC # D9: 8 # F8: 2,6 => UNS
* INC # D9: 8 # F8: 4 => UNS
* INC # D9: 8 # A8: 2,6 => UNS
* INC # D9: 8 # A8: 3,4,8 => UNS
* INC # D9: 8 # D6: 2,6 => UNS
* INC # D9: 8 # D6: 1,5 => UNS
* INC # D9: 8 => UNS
* INC # D8: 8 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for I3,I9: 7..:

* INC # I3: 7 => UNS
* INC # I9: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for H3,I3: 7..:

* INC # H3: 7 => UNS
* INC # I3: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for B4,C4: 7..:

* INC # C4: 7 # B6: 1,6 => UNS
* INC # C4: 7 # B6: 3,4 => UNS
* INC # C4: 7 # I4: 1,6 => UNS
* INC # C4: 7 # I4: 8,9 => UNS
* INC # C4: 7 # H5: 1,5 => UNS
* INC # C4: 7 # H6: 1,5 => UNS
* INC # C4: 7 # I6: 1,5 => UNS
* INC # C4: 7 # D5: 1,5 => UNS
* INC # C4: 7 # E5: 1,5 => UNS
* INC # C4: 7 # G3: 1,5 => UNS
* INC # C4: 7 # G3: 2,3,4 => UNS
* INC # C4: 7 # A8: 4,8 => UNS
* INC # C4: 7 # A9: 4,8 => UNS
* INC # C4: 7 # C9: 4,8 => UNS
* INC # C4: 7 # G7: 4,8 => UNS
* INC # C4: 7 # H7: 4,8 => UNS
* INC # C4: 7 # B6: 1,6 # C1: 2,3 => UNS
* INC # C4: 7 # B6: 1,6 # C2: 2,3 => UNS
* INC # C4: 7 # B6: 1,6 # E3: 2,3 => UNS
* PRF # C4: 7 # B6: 1,6 # G3: 2,3 => SOL
* STA # C4: 7 # B6: 1,6 + G3: 2,3
* CNT  20 HDP CHAINS /  22 HYP OPENED