Analysis of xx-ph-00001551-L142-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 1....678.....8.12.........62...1...7.4.9.......5..4....9.3...........35.8...7...2 initial

Autosolve

position: 1....678.....8.12.........62...1...7.4.9.......5..4....9.3...7.......35.8...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

Time used: 0:00:00.000007

List of important HDP chains detected for A7,B9: 5..:

* DIS # B9: 5 # A2: 4,6 => CTR => A2: 3,5,7,9
* CNT   1 HDP CHAINS /  38 HYP OPENED

List of important HDP chains detected for B9,C9: 3..:

* PRF # B9: 3 # C4: 6,8 => SOL
* STA # B9: 3 + C4: 6,8
* CNT   1 HDP CHAINS /   6 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

1....678.....8.12.........62...1...7.4.9.......5..4....9.3...........35.8...7...2 initial
1....678.....8.12.........62...1...7.4.9.......5..4....9.3...7.......35.8...7...2 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D3,F3: 1.. / D3 = 1  =>  0 pairs (_) / F3 = 1  =>  1 pairs (_)
C5,B6: 1.. / C5 = 1  =>  1 pairs (_) / B6 = 1  =>  0 pairs (_)
G5,G6: 2.. / G5 = 2  =>  0 pairs (_) / G6 = 2  =>  1 pairs (_)
B9,C9: 3.. / B9 = 3  =>  2 pairs (_) / C9 = 3  =>  0 pairs (_)
G4,H4: 4.. / G4 = 4  =>  3 pairs (_) / H4 = 4  =>  1 pairs (_)
A7,B9: 5.. / A7 = 5  =>  0 pairs (_) / B9 = 5  =>  3 pairs (_)
F5,D6: 7.. / F5 = 7  =>  1 pairs (_) / D6 = 7  =>  1 pairs (_)
B3,C3: 8.. / B3 = 8  =>  1 pairs (_) / C3 = 8  =>  0 pairs (_)
C4,A6: 9.. / C4 = 9  =>  0 pairs (_) / A6 = 9  =>  2 pairs (_)
* DURATION: 0:00:06.524517  START: 11:13:31.295679  END: 11:13:37.820196 2020-11-29
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G4,H4: 4.. / G4 = 4 ==>  3 pairs (_) / H4 = 4 ==>  1 pairs (_)
A7,B9: 5.. / A7 = 5 ==>  0 pairs (_) / B9 = 5 ==>  3 pairs (_)
C4,A6: 9.. / C4 = 9 ==>  0 pairs (_) / A6 = 9 ==>  2 pairs (_)
B9,C9: 3.. / B9 = 3 ==>  0 pairs (*) / C9 = 3  =>  0 pairs (X)
* DURATION: 0:00:43.550291  START: 11:13:37.820814  END: 11:14:21.371105 2020-11-29
* REASONING A7,B9: 5..
* DIS # B9: 5 # A2: 4,6 => CTR => A2: 3,5,7,9
* CNT   1 HDP CHAINS /  38 HYP OPENED
* REASONING B9,C9: 3..
* PRF # B9: 3 # C4: 6,8 => SOL
* STA # B9: 3 + C4: 6,8
* CNT   1 HDP CHAINS /   6 HYP OPENED
* DCP COUNT: (4)
* SOLUTION FOUND

Header Info

1551;L142;elev;22;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G4,H4: 4..:

* INC # G4: 4 # I1: 5,9 => UNS
* INC # G4: 4 # I2: 5,9 => UNS
* INC # G4: 4 # A3: 5,9 => UNS
* INC # G4: 4 # E3: 5,9 => UNS
* INC # G4: 4 # F3: 5,9 => UNS
* INC # G4: 4 # G5: 6,8 => UNS
* INC # G4: 4 # G6: 6,8 => UNS
* INC # G4: 4 # H9: 6,9 => UNS
* INC # G4: 4 # H9: 1,4 => UNS
* INC # G4: 4 # G6: 6,9 => UNS
* INC # G4: 4 # G6: 2,8 => UNS
* INC # G4: 4 => UNS
* INC # H4: 4 # I1: 3,9 => UNS
* INC # H4: 4 # I2: 3,9 => UNS
* INC # H4: 4 # A3: 3,9 => UNS
* INC # H4: 4 # C3: 3,9 => UNS
* INC # H4: 4 # E3: 3,9 => UNS
* INC # H4: 4 # F3: 3,9 => UNS
* INC # H4: 4 # H6: 3,9 => UNS
* INC # H4: 4 # H6: 1,6 => UNS
* INC # H4: 4 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for A7,B9: 5..:

* INC # B9: 5 # B3: 2,3 => UNS
* INC # B9: 5 # B3: 7,8 => UNS
* INC # B9: 5 # E1: 2,3 => UNS
* INC # B9: 5 # E1: 4,5,9 => UNS
* INC # B9: 5 # C7: 4,6 => UNS
* INC # B9: 5 # A8: 4,6 => UNS
* INC # B9: 5 # C8: 4,6 => UNS
* INC # B9: 5 # E7: 4,6 => UNS
* INC # B9: 5 # G7: 4,6 => UNS
* DIS # B9: 5 # A2: 4,6 => CTR => A2: 3,5,7,9
* INC # B9: 5 + A2: 3,5,7,9 # C7: 4,6 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # A8: 4,6 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # C8: 4,6 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # E7: 4,6 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # G7: 4,6 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # F8: 1,9 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # F8: 2,8 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # H9: 1,9 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # H9: 4,6 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # F3: 1,9 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # F3: 2,3,5,7 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # B3: 2,3 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # B3: 7,8 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # E1: 2,3 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # E1: 4,5,9 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # C7: 4,6 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # A8: 4,6 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # C8: 4,6 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # E7: 4,6 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # G7: 4,6 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # F8: 1,9 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # F8: 2,8 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # H9: 1,9 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # H9: 4,6 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # F3: 1,9 => UNS
* INC # B9: 5 + A2: 3,5,7,9 # F3: 2,3,5,7 => UNS
* INC # B9: 5 + A2: 3,5,7,9 => UNS
* INC # A7: 5 => UNS
* CNT  38 HDP CHAINS /  38 HYP OPENED

Full list of HDP chains traversed for C4,A6: 9..:

* INC # A6: 9 # G3: 4,9 => UNS
* INC # A6: 9 # G9: 4,9 => UNS
* INC # A6: 9 # H3: 4,9 => UNS
* INC # A6: 9 # H9: 4,9 => UNS
* INC # A6: 9 => UNS
* INC # C4: 9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for B9,C9: 3..:

* INC # B9: 3 # B3: 2,5 => UNS
* INC # B9: 3 # B3: 7,8 => UNS
* INC # B9: 3 # D1: 2,5 => UNS
* INC # B9: 3 # E1: 2,5 => UNS
* PRF # B9: 3 # C4: 6,8 => SOL
* STA # B9: 3 + C4: 6,8
* CNT   5 HDP CHAINS /   6 HYP OPENED