Analysis of xx-ph-00248056-12_12_03-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ........1..2..3..4.5..6.27....6...4...5.8.6..6..9.2.....7.....2.28......5...2.78. initial

Autosolve

position: ...2....1..2..3..4.5..6.27.2..6...4...5.8.62.6..9.2.....7.....2.28......5...2.78. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for B2,H2: 6..:

* DIS # B2: 6 # F3: 1,4 => CTR => F3: 8,9
* DIS # B2: 6 + F3: 8,9 # D8: 1,4 => CTR => D8: 3,5,7
* DIS # B2: 6 + F3: 8,9 + D8: 3,5,7 # E2: 5,9 => CTR => E2: 1,7
* DIS # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 # G4: 1,3 => CTR => G4: 8,9
* PRF # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 + G4: 8,9 # G6: 8 => SOL
* STA # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 + G4: 8,9 + G6: 8
* CNT   5 HDP CHAINS /  24 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..2..3..4.5..6.27....6...4...5.8.6..6..9.2.....7.....2.28......5...2.78. initial
...2....1..2..3..4.5..6.27.2..6...4...5.8.62.6..9.2.....7.....2.28......5...2.78. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
G7,G8: 4.. / G7 = 4  =>  0 pairs (_) / G8 = 4  =>  0 pairs (_)
H1,H2: 6.. / H1 = 6  =>  4 pairs (_) / H2 = 6  =>  0 pairs (_)
I8,I9: 6.. / I8 = 6  =>  2 pairs (_) / I9 = 6  =>  0 pairs (_)
B2,H2: 6.. / B2 = 6  =>  4 pairs (_) / H2 = 6  =>  0 pairs (_)
B7,F7: 6.. / B7 = 6  =>  0 pairs (_) / F7 = 6  =>  3 pairs (_)
F8,I8: 6.. / F8 = 6  =>  0 pairs (_) / I8 = 6  =>  2 pairs (_)
C1,C9: 6.. / C1 = 6  =>  0 pairs (_) / C9 = 6  =>  3 pairs (_)
B4,B6: 8.. / B4 = 8  =>  0 pairs (_) / B6 = 8  =>  0 pairs (_)
D7,F7: 8.. / D7 = 8  =>  1 pairs (_) / F7 = 8  =>  0 pairs (_)
* DURATION: 0:00:06.571324  START: 16:59:10.114352  END: 16:59:16.685676 2020-10-01
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
B2,H2: 6.. / B2 = 6 ==>  0 pairs (*) / H2 = 6  =>  0 pairs (X)
* DURATION: 0:00:21.671373  START: 16:59:16.686410  END: 16:59:38.357783 2020-10-01
* REASONING B2,H2: 6..
* DIS # B2: 6 # F3: 1,4 => CTR => F3: 8,9
* DIS # B2: 6 + F3: 8,9 # D8: 1,4 => CTR => D8: 3,5,7
* DIS # B2: 6 + F3: 8,9 + D8: 3,5,7 # E2: 5,9 => CTR => E2: 1,7
* DIS # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 # G4: 1,3 => CTR => G4: 8,9
* PRF # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 + G4: 8,9 # G6: 8 => SOL
* STA # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 + G4: 8,9 + G6: 8
* CNT   5 HDP CHAINS /  24 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

248056;12_12_03;dob;24;11.50;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for B2,H2: 6..:

* DIS # B2: 6 # F3: 1,4 => CTR => F3: 8,9
* INC # B2: 6 + F3: 8,9 # A3: 1,4 => UNS
* INC # B2: 6 + F3: 8,9 # C3: 1,4 => UNS
* INC # B2: 6 + F3: 8,9 # D5: 1,4 => UNS
* DIS # B2: 6 + F3: 8,9 # D8: 1,4 => CTR => D8: 3,5,7
* INC # B2: 6 + F3: 8,9 + D8: 3,5,7 # D9: 1,4 => UNS
* INC # B2: 6 + F3: 8,9 + D8: 3,5,7 # A3: 1,4 => UNS
* INC # B2: 6 + F3: 8,9 + D8: 3,5,7 # C3: 1,4 => UNS
* INC # B2: 6 + F3: 8,9 + D8: 3,5,7 # D5: 1,4 => UNS
* INC # B2: 6 + F3: 8,9 + D8: 3,5,7 # D9: 1,4 => UNS
* INC # B2: 6 + F3: 8,9 + D8: 3,5,7 # G1: 5,9 => UNS
* INC # B2: 6 + F3: 8,9 + D8: 3,5,7 # G2: 5,9 => UNS
* DIS # B2: 6 + F3: 8,9 + D8: 3,5,7 # E2: 5,9 => CTR => E2: 1,7
* INC # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 # H7: 5,9 => UNS
* INC # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 # H8: 5,9 => UNS
* INC # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 # G1: 5,9 => UNS
* INC # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 # G2: 5,9 => UNS
* INC # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 # H7: 5,9 => UNS
* INC # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 # H8: 5,9 => UNS
* DIS # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 # G4: 1,3 => CTR => G4: 8,9
* INC # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 + G4: 8,9 # G6: 1,3 => UNS
* INC # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 + G4: 8,9 # G6: 1,3 => UNS
* PRF # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 + G4: 8,9 # G6: 8 => SOL
* STA # B2: 6 + F3: 8,9 + D8: 3,5,7 + E2: 1,7 + G4: 8,9 + G6: 8
* CNT  23 HDP CHAINS /  24 HYP OPENED