Analysis of xx-ph-00930572-13_05-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..7...8..9...5.....767.4....8..8.3..6...2...4...5.9...4....81.........58.. initial

Autosolve

position: 98.7..6..7...8..9...5....8767.4....8..8.3..6...2..84..85.9...4....81.........58.. 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

Time used: 0:00:00.000010

List of important HDP chains detected for D6,E6: 6..:

* DIS # E6: 6 # B6: 1,3 => CTR => B6: 9
* DIS # E6: 6 + B6: 9 # C9: 1,3 => CTR => C9: 4,6,7,9
* CNT   2 HDP CHAINS /  59 HYP OPENED

List of important HDP chains detected for E1,D2: 5..:

* DIS # D2: 5 # F5: 1,2 => CTR => F5: 7,9
* CNT   1 HDP CHAINS /  46 HYP OPENED

List of important HDP chains detected for A5,A6: 5..:

* DIS # A5: 5 # F5: 1,2 => CTR => F5: 7,9
* CNT   1 HDP CHAINS /  38 HYP OPENED

List of important HDP chains detected for E6,H6: 7..:

* PRF # E6: 7 # E3: 2,6 => SOL
* STA # E6: 7 + E3: 2,6
* CNT   1 HDP CHAINS /   7 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

98.7..6..7...8..9...5.....767.4....8..8.3..6...2...4...5.9...4....81.........58.. initial
98.7..6..7...8..9...5....8767.4....8..8.3..6...2..84..85.9...4....81.........58.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I1,I2: 4.. / I1 = 4  =>  2 pairs (_) / I2 = 4  =>  0 pairs (_)
A5,B5: 4.. / A5 = 4  =>  3 pairs (_) / B5 = 4  =>  1 pairs (_)
F8,E9: 4.. / F8 = 4  =>  1 pairs (_) / E9 = 4  =>  1 pairs (_)
E1,D2: 5.. / E1 = 5  =>  1 pairs (_) / D2 = 5  =>  3 pairs (_)
A5,A6: 5.. / A5 = 5  =>  2 pairs (_) / A6 = 5  =>  2 pairs (_)
D6,E6: 6.. / D6 = 6  =>  1 pairs (_) / E6 = 6  =>  3 pairs (_)
F5,E6: 7.. / F5 = 7  =>  0 pairs (_) / E6 = 7  =>  2 pairs (_)
G5,H6: 7.. / G5 = 7  =>  2 pairs (_) / H6 = 7  =>  0 pairs (_)
F5,G5: 7.. / F5 = 7  =>  0 pairs (_) / G5 = 7  =>  2 pairs (_)
E6,H6: 7.. / E6 = 7  =>  2 pairs (_) / H6 = 7  =>  0 pairs (_)
E3,F3: 9.. / E3 = 9  =>  1 pairs (_) / F3 = 9  =>  1 pairs (_)
* DURATION: 0:00:09.035092  START: 16:39:02.708198  END: 16:39:11.743290 2021-01-02
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D6,E6: 6.. / D6 = 6 ==>  1 pairs (_) / E6 = 6 ==>  4 pairs (_)
E1,D2: 5.. / E1 = 5 ==>  1 pairs (_) / D2 = 5 ==>  4 pairs (_)
A5,B5: 4.. / A5 = 4 ==>  3 pairs (_) / B5 = 4 ==>  1 pairs (_)
A5,A6: 5.. / A5 = 5 ==>  3 pairs (_) / A6 = 5 ==>  2 pairs (_)
E6,H6: 7.. / E6 = 7 ==>  0 pairs (*) / H6 = 7  =>  0 pairs (X)
* DURATION: 0:01:35.374544  START: 16:39:11.744029  END: 16:40:47.118573 2021-01-02
* REASONING D6,E6: 6..
* DIS # E6: 6 # B6: 1,3 => CTR => B6: 9
* DIS # E6: 6 + B6: 9 # C9: 1,3 => CTR => C9: 4,6,7,9
* CNT   2 HDP CHAINS /  59 HYP OPENED
* REASONING E1,D2: 5..
* DIS # D2: 5 # F5: 1,2 => CTR => F5: 7,9
* CNT   1 HDP CHAINS /  46 HYP OPENED
* REASONING A5,A6: 5..
* DIS # A5: 5 # F5: 1,2 => CTR => F5: 7,9
* CNT   1 HDP CHAINS /  38 HYP OPENED
* REASONING E6,H6: 7..
* PRF # E6: 7 # E3: 2,6 => SOL
* STA # E6: 7 + E3: 2,6
* CNT   1 HDP CHAINS /   7 HYP OPENED
* DCP COUNT: (5)
* SOLUTION FOUND

Header Info

930572;13_05;GP;25;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D6,E6: 6..:

* INC # E6: 6 # A6: 1,3 => UNS
* DIS # E6: 6 # B6: 1,3 => CTR => B6: 9
* INC # E6: 6 + B6: 9 # A6: 1,3 => UNS
* INC # E6: 6 + B6: 9 # A6: 5 => UNS
* INC # E6: 6 + B6: 9 # G4: 1,3 => UNS
* INC # E6: 6 + B6: 9 # H4: 1,3 => UNS
* INC # E6: 6 + B6: 9 # C1: 1,3 => UNS
* INC # E6: 6 + B6: 9 # C2: 1,3 => UNS
* INC # E6: 6 + B6: 9 # C7: 1,3 => UNS
* DIS # E6: 6 + B6: 9 # C9: 1,3 => CTR => C9: 4,6,7,9
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # A6: 1,3 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # A6: 5 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # G4: 1,3 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # H4: 1,3 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # C1: 1,3 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # C2: 1,3 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # C7: 1,3 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # D5: 1,5 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # D5: 2 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # A6: 1,5 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # I6: 1,5 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # D2: 1,5 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # D2: 2,3,6 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # E9: 2,7 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # E9: 4 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # G7: 2,7 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # G7: 1,3 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # A6: 1,3 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # A6: 5 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # G4: 1,3 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # H4: 1,3 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # C1: 1,3 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # C2: 1,3 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # C7: 1,3 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # A5: 1,4 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # A5: 5 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # B2: 1,4 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # B3: 1,4 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # B9: 1,4 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # D5: 1,5 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # D5: 2 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # A6: 1,5 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # I6: 1,5 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # D2: 1,5 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # D2: 2,3,6 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # E9: 2,7 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # E9: 4 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # G7: 2,7 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 # G7: 1,3 => UNS
* INC # E6: 6 + B6: 9 + C9: 4,6,7,9 => UNS
* INC # D6: 6 # F7: 2,3 => UNS
* INC # D6: 6 # F8: 2,3 => UNS
* INC # D6: 6 # A9: 2,3 => UNS
* INC # D6: 6 # B9: 2,3 => UNS
* INC # D6: 6 # H9: 2,3 => UNS
* INC # D6: 6 # I9: 2,3 => UNS
* INC # D6: 6 # D2: 2,3 => UNS
* INC # D6: 6 # D3: 2,3 => UNS
* INC # D6: 6 => UNS
* CNT  59 HDP CHAINS /  59 HYP OPENED

Full list of HDP chains traversed for E1,D2: 5..:

* INC # D2: 5 # F1: 2,4 => UNS
* INC # D2: 5 # F2: 2,4 => UNS
* INC # D2: 5 # E3: 2,4 => UNS
* INC # D2: 5 # F3: 2,4 => UNS
* INC # D2: 5 # I1: 2,4 => UNS
* INC # D2: 5 # I1: 1,3,5 => UNS
* INC # D2: 5 # E9: 2,4 => UNS
* INC # D2: 5 # E9: 6,7 => UNS
* INC # D2: 5 # F4: 1,2 => UNS
* DIS # D2: 5 # F5: 1,2 => CTR => F5: 7,9
* INC # D2: 5 + F5: 7,9 # F4: 1,2 => UNS
* INC # D2: 5 + F5: 7,9 # F4: 9 => UNS
* INC # D2: 5 + F5: 7,9 # G5: 1,2 => UNS
* INC # D2: 5 + F5: 7,9 # I5: 1,2 => UNS
* INC # D2: 5 + F5: 7,9 # D3: 1,2 => UNS
* INC # D2: 5 + F5: 7,9 # D3: 3,6 => UNS
* INC # D2: 5 + F5: 7,9 # D3: 1,6 => UNS
* INC # D2: 5 + F5: 7,9 # D3: 2,3 => UNS
* INC # D2: 5 + F5: 7,9 # F1: 2,4 => UNS
* INC # D2: 5 + F5: 7,9 # F2: 2,4 => UNS
* INC # D2: 5 + F5: 7,9 # E3: 2,4 => UNS
* INC # D2: 5 + F5: 7,9 # F3: 2,4 => UNS
* INC # D2: 5 + F5: 7,9 # I1: 2,4 => UNS
* INC # D2: 5 + F5: 7,9 # I1: 1,3,5 => UNS
* INC # D2: 5 + F5: 7,9 # E9: 2,4 => UNS
* INC # D2: 5 + F5: 7,9 # E9: 6,7 => UNS
* INC # D2: 5 + F5: 7,9 # F4: 1,2 => UNS
* INC # D2: 5 + F5: 7,9 # F4: 9 => UNS
* INC # D2: 5 + F5: 7,9 # G5: 1,2 => UNS
* INC # D2: 5 + F5: 7,9 # I5: 1,2 => UNS
* INC # D2: 5 + F5: 7,9 # D3: 1,2 => UNS
* INC # D2: 5 + F5: 7,9 # D3: 3,6 => UNS
* INC # D2: 5 + F5: 7,9 # E6: 7,9 => UNS
* INC # D2: 5 + F5: 7,9 # E6: 5,6 => UNS
* INC # D2: 5 + F5: 7,9 # G5: 7,9 => UNS
* INC # D2: 5 + F5: 7,9 # G5: 1,2,5 => UNS
* INC # D2: 5 + F5: 7,9 # D3: 1,6 => UNS
* INC # D2: 5 + F5: 7,9 # D3: 2,3 => UNS
* INC # D2: 5 + F5: 7,9 => UNS
* INC # E1: 5 # F4: 2,9 => UNS
* INC # E1: 5 # F5: 2,9 => UNS
* INC # E1: 5 # G4: 2,9 => UNS
* INC # E1: 5 # G4: 1,3,5 => UNS
* INC # E1: 5 # E3: 2,9 => UNS
* INC # E1: 5 # E3: 4,6 => UNS
* INC # E1: 5 => UNS
* CNT  46 HDP CHAINS /  46 HYP OPENED

Full list of HDP chains traversed for A5,B5: 4..:

* INC # A5: 4 # C4: 1,9 => UNS
* INC # A5: 4 # B6: 1,9 => UNS
* INC # A5: 4 # F5: 1,9 => UNS
* INC # A5: 4 # G5: 1,9 => UNS
* INC # A5: 4 # I5: 1,9 => UNS
* INC # A5: 4 # B9: 1,9 => UNS
* INC # A5: 4 # B9: 2,3,4,6 => UNS
* INC # A5: 4 # D2: 1,6 => UNS
* INC # A5: 4 # D3: 1,6 => UNS
* INC # A5: 4 # B8: 2,3 => UNS
* INC # A5: 4 # A9: 2,3 => UNS
* INC # A5: 4 # B9: 2,3 => UNS
* INC # A5: 4 # F8: 2,3 => UNS
* INC # A5: 4 # G8: 2,3 => UNS
* INC # A5: 4 # H8: 2,3 => UNS
* INC # A5: 4 # I8: 2,3 => UNS
* INC # A5: 4 # A3: 2,3 => UNS
* INC # A5: 4 # A3: 1 => UNS
* INC # A5: 4 => UNS
* INC # B5: 4 # A6: 1,5 => UNS
* INC # B5: 4 # A6: 3 => UNS
* INC # B5: 4 # D5: 1,5 => UNS
* INC # B5: 4 # G5: 1,5 => UNS
* INC # B5: 4 # I5: 1,5 => UNS
* INC # B5: 4 => UNS
* CNT  25 HDP CHAINS /  25 HYP OPENED

Full list of HDP chains traversed for A5,A6: 5..:

* INC # A5: 5 # C4: 1,3 => UNS
* INC # A5: 5 # B6: 1,3 => UNS
* INC # A5: 5 # H6: 1,3 => UNS
* INC # A5: 5 # I6: 1,3 => UNS
* INC # A5: 5 # A3: 1,3 => UNS
* INC # A5: 5 # A9: 1,3 => UNS
* INC # A5: 5 # F4: 1,2 => UNS
* DIS # A5: 5 # F5: 1,2 => CTR => F5: 7,9
* INC # A5: 5 + F5: 7,9 # F4: 1,2 => UNS
* INC # A5: 5 + F5: 7,9 # F4: 9 => UNS
* INC # A5: 5 + F5: 7,9 # G5: 1,2 => UNS
* INC # A5: 5 + F5: 7,9 # I5: 1,2 => UNS
* INC # A5: 5 + F5: 7,9 # D2: 1,2 => UNS
* INC # A5: 5 + F5: 7,9 # D3: 1,2 => UNS
* INC # A5: 5 + F5: 7,9 # C4: 1,3 => UNS
* INC # A5: 5 + F5: 7,9 # B6: 1,3 => UNS
* INC # A5: 5 + F5: 7,9 # H6: 1,3 => UNS
* INC # A5: 5 + F5: 7,9 # I6: 1,3 => UNS
* INC # A5: 5 + F5: 7,9 # A3: 1,3 => UNS
* INC # A5: 5 + F5: 7,9 # A9: 1,3 => UNS
* INC # A5: 5 + F5: 7,9 # F4: 1,2 => UNS
* INC # A5: 5 + F5: 7,9 # F4: 9 => UNS
* INC # A5: 5 + F5: 7,9 # G5: 1,2 => UNS
* INC # A5: 5 + F5: 7,9 # I5: 1,2 => UNS
* INC # A5: 5 + F5: 7,9 # D2: 1,2 => UNS
* INC # A5: 5 + F5: 7,9 # D3: 1,2 => UNS
* INC # A5: 5 + F5: 7,9 # E6: 7,9 => UNS
* INC # A5: 5 + F5: 7,9 # E6: 5,6 => UNS
* INC # A5: 5 + F5: 7,9 # G5: 7,9 => UNS
* INC # A5: 5 + F5: 7,9 # G5: 1,2 => UNS
* INC # A5: 5 + F5: 7,9 => UNS
* INC # A6: 5 # B5: 1,4 => UNS
* INC # A6: 5 # B5: 9 => UNS
* INC # A6: 5 # A3: 1,4 => UNS
* INC # A6: 5 # A9: 1,4 => UNS
* INC # A6: 5 # D2: 1,6 => UNS
* INC # A6: 5 # D3: 1,6 => UNS
* INC # A6: 5 => UNS
* CNT  38 HDP CHAINS /  38 HYP OPENED

Full list of HDP chains traversed for E6,H6: 7..:

* INC # E6: 7 # F7: 2,6 => UNS
* INC # E6: 7 # F8: 2,6 => UNS
* INC # E6: 7 # E9: 2,6 => UNS
* INC # E6: 7 # I7: 2,6 => UNS
* INC # E6: 7 # I7: 1,3 => UNS
* PRF # E6: 7 # E3: 2,6 => SOL
* STA # E6: 7 + E3: 2,6
* CNT   6 HDP CHAINS /   7 HYP OPENED