Analysis of xx-ph-01116334-13_09-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..75.....9...6......4...6...3.379.......58..97...96...5.....2..........1.6 initial

Autosolve

position: 98.7..6..75...6.9...6......49..67..3.379...6...58..97...96...5.....2...9......1.6 autosolve
Autosolve

Pair Reduction Variants

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 D4,G4: 5..:

* DIS # D4: 5 # E7: 1,4 => CTR => E7: 3,7,8
* DIS # D4: 5 + E7: 3,7,8 # E9: 3,4 => CTR => E9: 5,7,8,9
* CNT   2 HDP CHAINS /  74 HYP OPENED

List of important HDP chains detected for I3,I7: 7..:

* DIS # I7: 7 # A5: 1,2 => CTR => A5: 8
* PRF # I7: 7 + A5: 8 # C9: 2,4 => SOL
* STA # I7: 7 + A5: 8 + C9: 2,4
* CNT   2 HDP CHAINS /   9 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..75.....9...6......4...6...3.379.......58..97...96...5.....2..........1.6 initial
98.7..6..75...6.9...6......49..67..3.379...6...58..97...96...5.....2...9......1.6 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
E6,F6: 3.. / E6 = 3  =>  0 pairs (_) / F6 = 3  =>  1 pairs (_)
A8,A9: 5.. / A8 = 5  =>  1 pairs (_) / A9 = 5  =>  1 pairs (_)
D4,G4: 5.. / D4 = 5  =>  3 pairs (_) / G4 = 5  =>  1 pairs (_)
A6,B6: 6.. / A6 = 6  =>  1 pairs (_) / B6 = 6  =>  2 pairs (_)
A8,B8: 6.. / A8 = 6  =>  2 pairs (_) / B8 = 6  =>  1 pairs (_)
A6,A8: 6.. / A6 = 6  =>  1 pairs (_) / A8 = 6  =>  2 pairs (_)
B6,B8: 6.. / B6 = 6  =>  2 pairs (_) / B8 = 6  =>  1 pairs (_)
G3,I3: 7.. / G3 = 7  =>  3 pairs (_) / I3 = 7  =>  0 pairs (_)
E7,E9: 7.. / E7 = 7  =>  0 pairs (_) / E9 = 7  =>  1 pairs (_)
B8,G8: 7.. / B8 = 7  =>  3 pairs (_) / G8 = 7  =>  0 pairs (_)
B9,E9: 7.. / B9 = 7  =>  0 pairs (_) / E9 = 7  =>  1 pairs (_)
I3,I7: 7.. / I3 = 7  =>  0 pairs (_) / I7 = 7  =>  3 pairs (_)
C4,A5: 8.. / C4 = 8  =>  3 pairs (_) / A5 = 8  =>  1 pairs (_)
E3,F3: 9.. / E3 = 9  =>  0 pairs (_) / F3 = 9  =>  0 pairs (_)
E9,F9: 9.. / E9 = 9  =>  0 pairs (_) / F9 = 9  =>  0 pairs (_)
E3,E9: 9.. / E3 = 9  =>  0 pairs (_) / E9 = 9  =>  0 pairs (_)
F3,F9: 9.. / F3 = 9  =>  0 pairs (_) / F9 = 9  =>  0 pairs (_)
* DURATION: 0:00:11.774804  START: 09:27:09.415080  END: 09:27:21.189884 2020-09-24
* CP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C4,A5: 8.. / C4 = 8 ==>  3 pairs (_) / A5 = 8 ==>  1 pairs (_)
D4,G4: 5.. / D4 = 5 ==>  3 pairs (_) / G4 = 5 ==>  1 pairs (_)
I3,I7: 7.. / I3 = 7  =>  0 pairs (X) / I7 = 7 ==>  0 pairs (*)
* DURATION: 0:01:01.553384  START: 09:27:21.190458  END: 09:28:22.743842 2020-09-24
* REASONING D4,G4: 5..
* DIS # D4: 5 # E7: 1,4 => CTR => E7: 3,7,8
* DIS # D4: 5 + E7: 3,7,8 # E9: 3,4 => CTR => E9: 5,7,8,9
* CNT   2 HDP CHAINS /  74 HYP OPENED
* REASONING I3,I7: 7..
* DIS # I7: 7 # A5: 1,2 => CTR => A5: 8
* PRF # I7: 7 + A5: 8 # C9: 2,4 => SOL
* STA # I7: 7 + A5: 8 + C9: 2,4
* CNT   2 HDP CHAINS /   9 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

1116334;13_09;GP;24;11.60;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C4,A5: 8..:

* INC # C4: 8 # A6: 1,2 => UNS
* INC # C4: 8 # B6: 1,2 => UNS
* INC # C4: 8 # F5: 1,2 => UNS
* INC # C4: 8 # I5: 1,2 => UNS
* INC # C4: 8 # A3: 1,2 => UNS
* INC # C4: 8 # A7: 1,2 => UNS
* INC # C4: 8 # G5: 2,5 => UNS
* INC # C4: 8 # I5: 2,5 => UNS
* INC # C4: 8 # D4: 2,5 => UNS
* INC # C4: 8 # D4: 1 => UNS
* INC # C4: 8 # G3: 2,5 => UNS
* INC # C4: 8 # G3: 3,4,7,8 => UNS
* INC # C4: 8 # I5: 1,2 => UNS
* INC # C4: 8 # I6: 1,2 => UNS
* INC # C4: 8 # D4: 1,2 => UNS
* INC # C4: 8 # D4: 5 => UNS
* INC # C4: 8 # H1: 1,2 => UNS
* INC # C4: 8 # H3: 1,2 => UNS
* INC # C4: 8 => UNS
* INC # A5: 8 # A6: 1,2 => UNS
* INC # A5: 8 # B6: 1,2 => UNS
* INC # A5: 8 # D4: 1,2 => UNS
* INC # A5: 8 # H4: 1,2 => UNS
* INC # A5: 8 # C1: 1,2 => UNS
* INC # A5: 8 # C2: 1,2 => UNS
* INC # A5: 8 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for D4,G4: 5..:

* INC # D4: 5 # F5: 1,4 => UNS
* INC # D4: 5 # E6: 1,4 => UNS
* INC # D4: 5 # F6: 1,4 => UNS
* INC # D4: 5 # I5: 1,4 => UNS
* INC # D4: 5 # I5: 2,5,8 => UNS
* INC # D4: 5 # E1: 1,4 => UNS
* INC # D4: 5 # E2: 1,4 => UNS
* INC # D4: 5 # E3: 1,4 => UNS
* DIS # D4: 5 # E7: 1,4 => CTR => E7: 3,7,8
* INC # D4: 5 + E7: 3,7,8 # F5: 1,4 => UNS
* INC # D4: 5 + E7: 3,7,8 # E6: 1,4 => UNS
* INC # D4: 5 + E7: 3,7,8 # F6: 1,4 => UNS
* INC # D4: 5 + E7: 3,7,8 # I5: 1,4 => UNS
* INC # D4: 5 + E7: 3,7,8 # I5: 2,5,8 => UNS
* INC # D4: 5 + E7: 3,7,8 # E1: 1,4 => UNS
* INC # D4: 5 + E7: 3,7,8 # E2: 1,4 => UNS
* INC # D4: 5 + E7: 3,7,8 # E3: 1,4 => UNS
* INC # D4: 5 + E7: 3,7,8 # H4: 2,8 => UNS
* INC # D4: 5 + E7: 3,7,8 # G5: 2,8 => UNS
* INC # D4: 5 + E7: 3,7,8 # I5: 2,8 => UNS
* INC # D4: 5 + E7: 3,7,8 # C4: 2,8 => UNS
* INC # D4: 5 + E7: 3,7,8 # C4: 1 => UNS
* INC # D4: 5 + E7: 3,7,8 # G2: 2,8 => UNS
* INC # D4: 5 + E7: 3,7,8 # G3: 2,8 => UNS
* INC # D4: 5 + E7: 3,7,8 # G7: 2,8 => UNS
* INC # D4: 5 + E7: 3,7,8 # F7: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 # D8: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 # F8: 3,4 => UNS
* DIS # D4: 5 + E7: 3,7,8 # E9: 3,4 => CTR => E9: 5,7,8,9
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # F9: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # C9: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # H9: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # D2: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # D3: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # F7: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # D8: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # F8: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # F9: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # C9: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # H9: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # D2: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # D3: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # F5: 1,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # E6: 1,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # F6: 1,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # I5: 1,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # I5: 2,5,8 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # E1: 1,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # E2: 1,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # E3: 1,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # H4: 2,8 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # G5: 2,8 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # I5: 2,8 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # C4: 2,8 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # C4: 1 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # G2: 2,8 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # G3: 2,8 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # G7: 2,8 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # F7: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # D8: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # F8: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # F9: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # C9: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # H9: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # D2: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 # D3: 3,4 => UNS
* INC # D4: 5 + E7: 3,7,8 + E9: 5,7,8,9 => UNS
* INC # G4: 5 # F5: 1,2 => UNS
* INC # G4: 5 # F6: 1,2 => UNS
* INC # G4: 5 # C4: 1,2 => UNS
* INC # G4: 5 # H4: 1,2 => UNS
* INC # G4: 5 # D2: 1,2 => UNS
* INC # G4: 5 # D3: 1,2 => UNS
* INC # G4: 5 => UNS
* CNT  74 HDP CHAINS /  74 HYP OPENED

Full list of HDP chains traversed for I3,I7: 7..:

* INC # I7: 7 # C4: 1,2 => UNS
* DIS # I7: 7 # A5: 1,2 => CTR => A5: 8
* INC # I7: 7 + A5: 8 # F6: 1,2 => UNS
* INC # I7: 7 + A5: 8 # I6: 1,2 => UNS
* INC # I7: 7 + A5: 8 # A3: 1,2 => UNS
* INC # I7: 7 + A5: 8 # A7: 1,2 => UNS
* INC # I7: 7 + A5: 8 # B7: 2,4 => UNS
* PRF # I7: 7 + A5: 8 # C9: 2,4 => SOL
* STA # I7: 7 + A5: 8 + C9: 2,4
* CNT   8 HDP CHAINS /   9 HYP OPENED