Analysis of xx-ph-00000909-722-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .23...7..4....9....6..3..1......8..4.1..6..2....5.....5....2..8.......3...2.7.6.. initial

Autosolve

position: .23...7..4....9....6..3..1......8..4.1..6..2....5.....5....2..8.......3...2.7.6.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for H1,G3: 4..:

* DIS # G3: 4 # G8: 1,9 => CTR => G8: 2,5
* PRF # G3: 4 + G8: 2,5 # C7: 1,9 => SOL
* STA # G3: 4 + G8: 2,5 + C7: 1,9
* CNT   2 HDP CHAINS /  19 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

.23...7..4....9....6..3..1......8..4.1..6..2....5.....5....2..8.......3...2.7.6.. initial
.23...7..4....9....6..3..1......8..4.1..6..2....5.....5....2..8.......3...2.7.6.. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
A1,C2: 1.. / A1 = 1  =>  1 pairs (_) / C2 = 1  =>  1 pairs (_)
A4,A6: 2.. / A4 = 2  =>  1 pairs (_) / A6 = 2  =>  0 pairs (_)
G8,I8: 2.. / G8 = 2  =>  0 pairs (_) / I8 = 2  =>  1 pairs (_)
A6,E6: 2.. / A6 = 2  =>  0 pairs (_) / E6 = 2  =>  1 pairs (_)
G2,I2: 3.. / G2 = 3  =>  0 pairs (_) / I2 = 3  =>  0 pairs (_)
B7,D7: 3.. / B7 = 3  =>  0 pairs (_) / D7 = 3  =>  2 pairs (_)
H1,G3: 4.. / H1 = 4  =>  2 pairs (_) / G3 = 4  =>  2 pairs (_)
B2,B4: 5.. / B2 = 5  =>  1 pairs (_) / B4 = 5  =>  1 pairs (_)
C7,D7: 6.. / C7 = 6  =>  2 pairs (_) / D7 = 6  =>  1 pairs (_)
F1,F8: 6.. / F1 = 6  =>  1 pairs (_) / F8 = 6  =>  2 pairs (_)
H7,I8: 7.. / H7 = 7  =>  0 pairs (_) / I8 = 7  =>  4 pairs (_)
* DURATION: 0:00:07.528476  START: 04:41:53.683486  END: 04:42:01.211962 2020-11-23
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
H7,I8: 7.. / H7 = 7 ==>  0 pairs (_) / I8 = 7 ==>  4 pairs (_)
H1,G3: 4.. / H1 = 4 ==>  2 pairs (_) / G3 = 4 ==>  0 pairs (*)
* DURATION: 0:00:25.362083  START: 04:42:01.212689  END: 04:42:26.574772 2020-11-23
* REASONING H1,G3: 4..
* DIS # G3: 4 # G8: 1,9 => CTR => G8: 2,5
* PRF # G3: 4 + G8: 2,5 # C7: 1,9 => SOL
* STA # G3: 4 + G8: 2,5 + C7: 1,9
* CNT   2 HDP CHAINS /  19 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

909;722;elev;21;11.30;11.30;9.30

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for H7,I8: 7..:

* INC # I8: 7 # B4: 3,7 => UNS
* INC # I8: 7 # B6: 3,7 => UNS
* INC # I8: 7 # C4: 6,7 => UNS
* INC # I8: 7 # C6: 6,7 => UNS
* INC # I8: 7 # G7: 4,9 => UNS
* INC # I8: 7 # H9: 4,9 => UNS
* INC # I8: 7 # E7: 4,9 => UNS
* INC # I8: 7 # E7: 1 => UNS
* INC # I8: 7 # H1: 4,9 => UNS
* INC # I8: 7 # H1: 5,6,8 => UNS
* INC # I8: 7 => UNS
* INC # H7: 7 => UNS
* CNT  12 HDP CHAINS /  12 HYP OPENED

Full list of HDP chains traversed for H1,G3: 4..:

* INC # H1: 4 # I8: 7,9 => UNS
* INC # H1: 4 # I8: 1,2,5 => UNS
* INC # H1: 4 # B7: 7,9 => UNS
* INC # H1: 4 # C7: 7,9 => UNS
* INC # H1: 4 # H4: 7,9 => UNS
* INC # H1: 4 # H6: 7,9 => UNS
* INC # H1: 4 # G8: 5,9 => UNS
* INC # H1: 4 # I8: 5,9 => UNS
* INC # H1: 4 # I9: 5,9 => UNS
* INC # H1: 4 # H4: 5,9 => UNS
* INC # H1: 4 # H4: 6,7 => UNS
* INC # H1: 4 => UNS
* INC # G3: 4 # C3: 5,7 => UNS
* INC # G3: 4 # C3: 8,9 => UNS
* DIS # G3: 4 # G8: 1,9 => CTR => G8: 2,5
* INC # G3: 4 + G8: 2,5 # I8: 1,9 => UNS
* INC # G3: 4 + G8: 2,5 # I9: 1,9 => UNS
* PRF # G3: 4 + G8: 2,5 # C7: 1,9 => SOL
* STA # G3: 4 + G8: 2,5 + C7: 1,9
* CNT  18 HDP CHAINS /  19 HYP OPENED