Analysis of xx-ph-00001200-H277-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.......7.6........5.7..8....4.3..2......1..65..8..3......2..1......4..89..6.. initial

Autosolve

position: 98.7.......7.6........5.7..8....4.3..2......1..65..8..3......2..1......4..89..6.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000012

List of important HDP chains detected for C4,A6: 1..:

* DIS # A6: 1 # C5: 5,9 => CTR => C5: 3,4
* PRF # A6: 1 + C5: 3,4 # C8: 5,9 => SOL
* STA # A6: 1 + C5: 3,4 + C8: 5,9
* CNT   2 HDP CHAINS /  20 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.......7.6........5.7..8....4.3..2......1..65..8..3......2..1......4..89..6.. initial
98.7.......7.6........5.7..8....4.3..2......1..65..8..3......2..1......4..89..6.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
C4,A6: 1.. / C4 = 1  =>  2 pairs (_) / A6 = 1  =>  1 pairs (_)
G7,H9: 1.. / G7 = 1  =>  1 pairs (_) / H9 = 1  =>  1 pairs (_)
C5,B6: 3.. / C5 = 3  =>  1 pairs (_) / B6 = 3  =>  2 pairs (_)
G8,I9: 3.. / G8 = 3  =>  1 pairs (_) / I9 = 3  =>  1 pairs (_)
A3,B3: 6.. / A3 = 6  =>  2 pairs (_) / B3 = 6  =>  0 pairs (_)
H1,I1: 6.. / H1 = 6  =>  1 pairs (_) / I1 = 6  =>  1 pairs (_)
I4,H5: 6.. / I4 = 6  =>  1 pairs (_) / H5 = 6  =>  1 pairs (_)
B7,A8: 6.. / B7 = 6  =>  2 pairs (_) / A8 = 6  =>  0 pairs (_)
D4,I4: 6.. / D4 = 6  =>  1 pairs (_) / I4 = 6  =>  1 pairs (_)
A3,A8: 6.. / A3 = 6  =>  2 pairs (_) / A8 = 6  =>  0 pairs (_)
B3,B7: 6.. / B3 = 6  =>  0 pairs (_) / B7 = 6  =>  2 pairs (_)
H1,H5: 6.. / H1 = 6  =>  1 pairs (_) / H5 = 6  =>  1 pairs (_)
I1,I4: 6.. / I1 = 6  =>  1 pairs (_) / I4 = 6  =>  1 pairs (_)
I7,H8: 8.. / I7 = 8  =>  0 pairs (_) / H8 = 8  =>  0 pairs (_)
F2,F3: 9.. / F2 = 9  =>  0 pairs (_) / F3 = 9  =>  0 pairs (_)
* DURATION: 0:00:12.033766  START: 04:17:22.317058  END: 04:17:34.350824 2020-11-26
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
C5,B6: 3.. / C5 = 3 ==>  1 pairs (_) / B6 = 3 ==>  2 pairs (_)
C4,A6: 1.. / C4 = 1 ==>  2 pairs (_) / A6 = 1 ==>  0 pairs (*)
* DURATION: 0:00:31.023401  START: 04:17:34.351617  END: 04:18:05.375018 2020-11-26
* REASONING C4,A6: 1..
* DIS # A6: 1 # C5: 5,9 => CTR => C5: 3,4
* PRF # A6: 1 + C5: 3,4 # C8: 5,9 => SOL
* STA # A6: 1 + C5: 3,4 + C8: 5,9
* CNT   2 HDP CHAINS /  20 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

1200;H277;GP;22;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for C5,B6: 3..:

* INC # B6: 3 # C1: 4,5 => UNS
* INC # B6: 3 # A2: 4,5 => UNS
* INC # B6: 3 # G2: 4,5 => UNS
* INC # B6: 3 # H2: 4,5 => UNS
* INC # B6: 3 # B7: 4,5 => UNS
* INC # B6: 3 # B9: 4,5 => UNS
* INC # B6: 3 # A3: 4,6 => UNS
* INC # B6: 3 # A3: 1,2 => UNS
* INC # B6: 3 # B7: 4,6 => UNS
* INC # B6: 3 # B7: 5,7,9 => UNS
* INC # B6: 3 => UNS
* INC # C5: 3 # F5: 6,8 => UNS
* INC # C5: 3 # F5: 7 => UNS
* INC # C5: 3 # D7: 6,8 => UNS
* INC # C5: 3 # D8: 6,8 => UNS
* INC # C5: 3 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for C4,A6: 1..:

* INC # C4: 1 # A5: 4,7 => UNS
* INC # C4: 1 # B6: 4,7 => UNS
* INC # C4: 1 # H6: 4,7 => UNS
* INC # C4: 1 # H6: 9 => UNS
* INC # C4: 1 # A9: 4,7 => UNS
* INC # C4: 1 # A9: 2,5 => UNS
* INC # C4: 1 # I4: 2,6 => UNS
* INC # C4: 1 # I4: 5,7,9 => UNS
* INC # C4: 1 # D8: 2,6 => UNS
* INC # C4: 1 # D8: 3,8 => UNS
* INC # C4: 1 => UNS
* INC # A6: 1 # B4: 5,9 => UNS
* DIS # A6: 1 # C5: 5,9 => CTR => C5: 3,4
* INC # A6: 1 + C5: 3,4 # B4: 5,9 => UNS
* INC # A6: 1 + C5: 3,4 # B4: 7 => UNS
* INC # A6: 1 + C5: 3,4 # G4: 5,9 => UNS
* INC # A6: 1 + C5: 3,4 # I4: 5,9 => UNS
* INC # A6: 1 + C5: 3,4 # C7: 5,9 => UNS
* PRF # A6: 1 + C5: 3,4 # C8: 5,9 => SOL
* STA # A6: 1 + C5: 3,4 + C8: 5,9
* CNT  19 HDP CHAINS /  20 HYP OPENED