Analysis of xx-ph-00039077-12_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6....7.5.........9.7.4....59....59...6.....4...33....2..1.1....2....85...9. initial

Autosolve

position: 98.7..6....7.5...9.....9.7.4....59....59...6.....4...33....2..1.1....2....85...9. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000005

List of important HDP chains detected for I1,I8: 5..:

* DIS # I8: 5 # A6: 6,7 => CTR => A6: 1,2,8
* PRF # I8: 5 + A6: 1,2,8 # E8: 3,8,9 => SOL
* STA # I8: 5 + A6: 1,2,8 + E8: 3,8,9
* CNT   2 HDP CHAINS /  12 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....7.5.........9.7.4....59....59...6.....4...33....2..1.1....2....85...9. initial
98.7..6....7.5...9.....9.7.4....59....59...6.....4...33....2..1.1....2....85...9. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
E9,F9: 1.. / E9 = 1  =>  1 pairs (_) / F9 = 1  =>  1 pairs (_)
A9,B9: 2.. / A9 = 2  =>  1 pairs (_) / B9 = 2  =>  2 pairs (_)
H8,G9: 3.. / H8 = 3  =>  3 pairs (_) / G9 = 3  =>  0 pairs (_)
G5,I5: 4.. / G5 = 4  =>  1 pairs (_) / I5 = 4  =>  3 pairs (_)
A3,B3: 5.. / A3 = 5  =>  2 pairs (_) / B3 = 5  =>  0 pairs (_)
H1,I1: 5.. / H1 = 5  =>  4 pairs (_) / I1 = 5  =>  0 pairs (_)
G6,H6: 5.. / G6 = 5  =>  0 pairs (_) / H6 = 5  =>  1 pairs (_)
B7,A8: 5.. / B7 = 5  =>  2 pairs (_) / A8 = 5  =>  0 pairs (_)
A3,A8: 5.. / A3 = 5  =>  2 pairs (_) / A8 = 5  =>  0 pairs (_)
B3,B7: 5.. / B3 = 5  =>  0 pairs (_) / B7 = 5  =>  2 pairs (_)
G6,G7: 5.. / G6 = 5  =>  0 pairs (_) / G7 = 5  =>  1 pairs (_)
I1,I8: 5.. / I1 = 5  =>  0 pairs (_) / I8 = 5  =>  4 pairs (_)
I8,I9: 6.. / I8 = 6  =>  3 pairs (_) / I9 = 6  =>  1 pairs (_)
A5,A6: 8.. / A5 = 8  =>  0 pairs (_) / A6 = 8  =>  0 pairs (_)
B6,C6: 9.. / B6 = 9  =>  0 pairs (_) / C6 = 9  =>  7 pairs (_)
E7,E8: 9.. / E7 = 9  =>  1 pairs (_) / E8 = 9  =>  1 pairs (_)
C8,E8: 9.. / C8 = 9  =>  1 pairs (_) / E8 = 9  =>  1 pairs (_)
B6,B7: 9.. / B6 = 9  =>  0 pairs (_) / B7 = 9  =>  7 pairs (_)
* DURATION: 0:00:12.370895  START: 23:17:22.739766  END: 23:17:35.110661 2020-12-17
* CP COUNT: (18)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B6,B7: 9.. / B6 = 9 ==>  0 pairs (_) / B7 = 9 ==>  7 pairs (_)
B6,C6: 9.. / B6 = 9 ==>  0 pairs (_) / C6 = 9 ==>  7 pairs (_)
I1,I8: 5.. / I1 = 5  =>  0 pairs (X) / I8 = 5 ==>  0 pairs (*)
* DURATION: 0:00:53.460698  START: 23:17:35.111206  END: 23:18:28.571904 2020-12-17
* REASONING I1,I8: 5..
* DIS # I8: 5 # A6: 6,7 => CTR => A6: 1,2,8
* PRF # I8: 5 + A6: 1,2,8 # E8: 3,8,9 => SOL
* STA # I8: 5 + A6: 1,2,8 + E8: 3,8,9
* CNT   2 HDP CHAINS /  12 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

39077;12_07;GP;24;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B6,B7: 9..:

* INC # B7: 9 # A5: 1,2 => UNS
* INC # B7: 9 # A6: 1,2 => UNS
* INC # B7: 9 # D4: 1,2 => UNS
* INC # B7: 9 # E4: 1,2 => UNS
* INC # B7: 9 # H4: 1,2 => UNS
* INC # B7: 9 # C1: 1,2 => UNS
* INC # B7: 9 # C3: 1,2 => UNS
* INC # B7: 9 # D7: 4,6 => UNS
* INC # B7: 9 # D7: 8 => UNS
* INC # B7: 9 # D8: 4,6 => UNS
* INC # B7: 9 # F8: 4,6 => UNS
* INC # B7: 9 # I8: 4,6 => UNS
* INC # B7: 9 # A5: 2,7 => UNS
* INC # B7: 9 # A6: 2,7 => UNS
* INC # B7: 9 # B4: 2,7 => UNS
* INC # B7: 9 # B5: 2,7 => UNS
* INC # B7: 9 # B6: 2,7 => UNS
* INC # B7: 9 # H8: 3,4 => UNS
* INC # B7: 9 # H8: 8 => UNS
* INC # B7: 9 # F9: 3,4 => UNS
* INC # B7: 9 # F9: 1,6 => UNS
* INC # B7: 9 # G3: 3,4 => UNS
* INC # B7: 9 # G3: 1,8 => UNS
* INC # B7: 9 # I8: 4,6 => UNS
* INC # B7: 9 # I8: 7,8 => UNS
* INC # B7: 9 # F9: 4,6 => UNS
* INC # B7: 9 # F9: 1,3 => UNS
* INC # B7: 9 => UNS
* INC # B6: 9 => UNS
* CNT  29 HDP CHAINS /  29 HYP OPENED

Full list of HDP chains traversed for B6,C6: 9..:

* INC # C6: 9 # A5: 1,2 => UNS
* INC # C6: 9 # A6: 1,2 => UNS
* INC # C6: 9 # D4: 1,2 => UNS
* INC # C6: 9 # E4: 1,2 => UNS
* INC # C6: 9 # H4: 1,2 => UNS
* INC # C6: 9 # C1: 1,2 => UNS
* INC # C6: 9 # C3: 1,2 => UNS
* INC # C6: 9 # D7: 4,6 => UNS
* INC # C6: 9 # D7: 8 => UNS
* INC # C6: 9 # D8: 4,6 => UNS
* INC # C6: 9 # F8: 4,6 => UNS
* INC # C6: 9 # I8: 4,6 => UNS
* INC # C6: 9 # A5: 2,7 => UNS
* INC # C6: 9 # A6: 2,7 => UNS
* INC # C6: 9 # B4: 2,7 => UNS
* INC # C6: 9 # B5: 2,7 => UNS
* INC # C6: 9 # B6: 2,7 => UNS
* INC # C6: 9 # H8: 3,4 => UNS
* INC # C6: 9 # H8: 8 => UNS
* INC # C6: 9 # F9: 3,4 => UNS
* INC # C6: 9 # F9: 1,6 => UNS
* INC # C6: 9 # G3: 3,4 => UNS
* INC # C6: 9 # G3: 1,8 => UNS
* INC # C6: 9 # I8: 4,6 => UNS
* INC # C6: 9 # I8: 7,8 => UNS
* INC # C6: 9 # F9: 4,6 => UNS
* INC # C6: 9 # F9: 1,3 => UNS
* INC # C6: 9 => UNS
* INC # B6: 9 => UNS
* CNT  29 HDP CHAINS /  29 HYP OPENED

Full list of HDP chains traversed for I1,I8: 5..:

* INC # I8: 5 # H2: 2,4 => UNS
* INC # I8: 5 # I3: 2,4 => UNS
* INC # I8: 5 # C1: 2,4 => UNS
* INC # I8: 5 # C1: 1,3 => UNS
* INC # I8: 5 # I5: 2,4 => UNS
* INC # I8: 5 # I5: 7,8 => UNS
* INC # I8: 5 # E8: 6,7 => UNS
* INC # I8: 5 # F8: 6,7 => UNS
* DIS # I8: 5 # A6: 6,7 => CTR => A6: 1,2,8
* INC # I8: 5 + A6: 1,2,8 # E8: 6,7 => UNS
* PRF # I8: 5 + A6: 1,2,8 # E8: 3,8,9 => SOL
* STA # I8: 5 + A6: 1,2,8 + E8: 3,8,9
* CNT  11 HDP CHAINS /  12 HYP OPENED