Analysis of xx-ph-00001388-313-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .....678....1....6.6..7..4..1...4..83...2..1...5...3...8...1..7..2.9....9..5..... initial

Autosolve

position: .....678....1....6.6..7..4..1...4..83...2..1...5.1.3...8...1..7..2.9....9..5..... 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 D7,F9: 2..:

* DIS # F9: 2 # B9: 3,4 => CTR => B9: 7
* DIS # F9: 2 + B9: 7 # B1: 3,4 => CTR => B1: 2,5,9
* DIS # F9: 2 + B9: 7 + B1: 2,5,9 # B2: 3,4 => CTR => B2: 2,5,9
* DIS # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 # G3: 2,9 => CTR => G3: 1,5
* DIS # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 # G4: 2,9 => CTR => G4: 5,6
* DIS # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 + G4: 5,6 # G2: 5 => CTR => G2: 2,9
* DIS # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 + G4: 5,6 + G2: 2,9 # H2: 2,9 => CTR => H2: 3,5
* PRF # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 + G4: 5,6 + G2: 2,9 + H2: 3,5 # H6: 2,9 => SOL
* STA # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 + G4: 5,6 + G2: 2,9 + H2: 3,5 + H6: 2,9
* CNT   8 HDP CHAINS /  16 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

.....678....1....6.6..7..4..1...4..83...2..1...5...3...8...1..7..2.9....9..5..... initial
.....678....1....6.6..7..4..1...4..83...2..1...5.1.3...8...1..7..2.9....9..5..... autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
A8,C9: 1.. / A8 = 1  =>  0 pairs (_) / C9 = 1  =>  0 pairs (_)
D7,F9: 2.. / D7 = 2  =>  0 pairs (_) / F9 = 2  =>  4 pairs (_)
D4,E4: 3.. / D4 = 3  =>  1 pairs (_) / E4 = 3  =>  3 pairs (_)
E4,F5: 5.. / E4 = 5  =>  2 pairs (_) / F5 = 5  =>  2 pairs (_)
H4,H6: 7.. / H4 = 7  =>  2 pairs (_) / H6 = 7  =>  1 pairs (_)
C5,A6: 8.. / C5 = 8  =>  0 pairs (_) / A6 = 8  =>  1 pairs (_)
G8,G9: 8.. / G8 = 8  =>  1 pairs (_) / G9 = 8  =>  0 pairs (_)
E2,E9: 8.. / E2 = 8  =>  0 pairs (_) / E9 = 8  =>  1 pairs (_)
G7,H7: 9.. / G7 = 9  =>  1 pairs (_) / H7 = 9  =>  0 pairs (_)
* DURATION: 0:00:07.567863  START: 23:37:44.729663  END: 23:37:52.297526 2020-11-27
* CP COUNT: (9)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D7,F9: 2.. / D7 = 2  =>  0 pairs (X) / F9 = 2 ==>  0 pairs (*)
* DURATION: 0:00:22.816598  START: 23:37:52.298323  END: 23:38:15.114921 2020-11-27
* REASONING D7,F9: 2..
* DIS # F9: 2 # B9: 3,4 => CTR => B9: 7
* DIS # F9: 2 + B9: 7 # B1: 3,4 => CTR => B1: 2,5,9
* DIS # F9: 2 + B9: 7 + B1: 2,5,9 # B2: 3,4 => CTR => B2: 2,5,9
* DIS # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 # G3: 2,9 => CTR => G3: 1,5
* DIS # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 # G4: 2,9 => CTR => G4: 5,6
* DIS # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 + G4: 5,6 # G2: 5 => CTR => G2: 2,9
* DIS # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 + G4: 5,6 + G2: 2,9 # H2: 2,9 => CTR => H2: 3,5
* PRF # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 + G4: 5,6 + G2: 2,9 + H2: 3,5 # H6: 2,9 => SOL
* STA # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 + G4: 5,6 + G2: 2,9 + H2: 3,5 + H6: 2,9
* CNT   8 HDP CHAINS /  16 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1388;313;elev;23;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D7,F9: 2..:

* INC # F9: 2 # C7: 3,4 => UNS
* DIS # F9: 2 # B9: 3,4 => CTR => B9: 7
* INC # F9: 2 + B9: 7 # C9: 3,4 => UNS
* INC # F9: 2 + B9: 7 # D8: 3,4 => UNS
* INC # F9: 2 + B9: 7 # I8: 3,4 => UNS
* DIS # F9: 2 + B9: 7 # B1: 3,4 => CTR => B1: 2,5,9
* DIS # F9: 2 + B9: 7 + B1: 2,5,9 # B2: 3,4 => CTR => B2: 2,5,9
* INC # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 # G2: 2,9 => UNS
* DIS # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 # G3: 2,9 => CTR => G3: 1,5
* DIS # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 # G4: 2,9 => CTR => G4: 5,6
* INC # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 + G4: 5,6 # G2: 2,9 => UNS
* DIS # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 + G4: 5,6 # G2: 5 => CTR => G2: 2,9
* DIS # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 + G4: 5,6 + G2: 2,9 # H2: 2,9 => CTR => H2: 3,5
* INC # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 + G4: 5,6 + G2: 2,9 + H2: 3,5 # H4: 2,9 => UNS
* PRF # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 + G4: 5,6 + G2: 2,9 + H2: 3,5 # H6: 2,9 => SOL
* STA # F9: 2 + B9: 7 + B1: 2,5,9 + B2: 2,5,9 + G3: 1,5 + G4: 5,6 + G2: 2,9 + H2: 3,5 + H6: 2,9
* CNT  15 HDP CHAINS /  16 HYP OPENED