Analysis of xx-ph-00001670-538-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 1..........7....6..9....5.4...5.8.......1..7......34...8.3.49...4.8..3....6.2.... initial

Autosolve

position: 1..........7....6..9....5.4...5.8.......1..7......34...8.3.49...4.8..3....6.2..4. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for A9,B9: 3..:

* DIS # B9: 3 # C1: 2,5 => CTR => C1: 3,4,8
* DIS # B9: 3 + C1: 3,4,8 # A2: 2,5 => CTR => A2: 3,4,8
* DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # A5: 2,6 => CTR => A5: 3,4,5,8,9
* DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 # G5: 2,6 => CTR => G5: 8
* DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 # B1: 5 => CTR => B1: 2,6
* PRF # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 + B1: 2,6 # A6: 5,8,9 => SOL
* STA # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 + B1: 2,6 + A6: 5,8,9
* CNT   6 HDP CHAINS /  22 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..........7....6..9....5.4...5.8.......1..7......34...8.3.49...4.8..3....6.2.... initial
1..........7....6..9....5.4...5.8.......1..7......34...8.3.49...4.8..3....6.2..4. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
A9,B9: 3.. / A9 = 3  =>  0 pairs (_) / B9 = 3  =>  3 pairs (_)
C1,A2: 4.. / C1 = 4  =>  0 pairs (_) / A2 = 4  =>  0 pairs (_)
E4,D5: 4.. / E4 = 4  =>  0 pairs (_) / D5 = 4  =>  1 pairs (_)
B1,A3: 6.. / B1 = 6  =>  0 pairs (_) / A3 = 6  =>  0 pairs (_)
G4,G5: 6.. / G4 = 6  =>  1 pairs (_) / G5 = 6  =>  2 pairs (_)
I7,I8: 6.. / I7 = 6  =>  1 pairs (_) / I8 = 6  =>  1 pairs (_)
E7,I7: 6.. / E7 = 6  =>  1 pairs (_) / I7 = 6  =>  1 pairs (_)
G1,I1: 7.. / G1 = 7  =>  1 pairs (_) / I1 = 7  =>  2 pairs (_)
G1,G9: 7.. / G1 = 7  =>  1 pairs (_) / G9 = 7  =>  2 pairs (_)
G9,I9: 8.. / G9 = 8  =>  2 pairs (_) / I9 = 8  =>  1 pairs (_)
* DURATION: 0:00:07.211919  START: 10:48:51.884879  END: 10:48:59.096798 2020-11-30
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A9,B9: 3.. / A9 = 3  =>  0 pairs (X) / B9 = 3 ==>  0 pairs (*)
* DURATION: 0:00:21.617089  START: 10:48:59.097449  END: 10:49:20.714538 2020-11-30
* REASONING A9,B9: 3..
* DIS # B9: 3 # C1: 2,5 => CTR => C1: 3,4,8
* DIS # B9: 3 + C1: 3,4,8 # A2: 2,5 => CTR => A2: 3,4,8
* DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # A5: 2,6 => CTR => A5: 3,4,5,8,9
* DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 # G5: 2,6 => CTR => G5: 8
* DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 # B1: 5 => CTR => B1: 2,6
* PRF # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 + B1: 2,6 # A6: 5,8,9 => SOL
* STA # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 + B1: 2,6 + A6: 5,8,9
* CNT   6 HDP CHAINS /  22 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1670;538;elev;21;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A9,B9: 3..:

* INC # B9: 3 # B1: 2,5 => UNS
* DIS # B9: 3 # C1: 2,5 => CTR => C1: 3,4,8
* DIS # B9: 3 + C1: 3,4,8 # A2: 2,5 => CTR => A2: 3,4,8
* INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # B1: 2,5 => UNS
* INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # B1: 6 => UNS
* INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # F2: 2,5 => UNS
* INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # F2: 1,9 => UNS
* INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # B1: 2,5 => UNS
* INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # B1: 6 => UNS
* INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # F2: 2,5 => UNS
* INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # F2: 1,9 => UNS
* INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # A4: 2,6 => UNS
* DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 # A5: 2,6 => CTR => A5: 3,4,5,8,9
* INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 # A6: 2,6 => UNS
* INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 # D5: 2,6 => UNS
* INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 # F5: 2,6 => UNS
* DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 # G5: 2,6 => CTR => G5: 8
* INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 # B1: 2,6 => UNS
* DIS # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 # B1: 5 => CTR => B1: 2,6
* INC # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 + B1: 2,6 # A6: 2,6 => UNS
* PRF # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 + B1: 2,6 # A6: 5,8,9 => SOL
* STA # B9: 3 + C1: 3,4,8 + A2: 3,4,8 + A5: 3,4,5,8,9 + G5: 8 + B1: 2,6 + A6: 5,8,9
* CNT  21 HDP CHAINS /  22 HYP OPENED