Analysis of xx-ph-00000481-L35-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 1......8...67....3.9....5.......7.1...7.4...2...3.2...5...6.....8....9....2..4..6 initial

Autosolve

position: 1......8...67....3.9....5.......7.1...7.4...2...3.2...5...6....68....9....2..4..6 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 E8,E9: 7..:

* DIS # E9: 7 # B1: 3,5 => CTR => B1: 2,4
* DIS # E9: 7 + B1: 2,4 # G2: 2 => CTR => G2: 1,4
* DIS # E9: 7 + B1: 2,4 + G2: 1,4 # I8: 1,4 => CTR => I8: 7
* PRF # E9: 7 + B1: 2,4 + G2: 1,4 + I8: 7 # B5: 1,3 => SOL
* STA # E9: 7 + B1: 2,4 + G2: 1,4 + I8: 7 + B5: 1,3
* CNT   4 HDP CHAINS /  13 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......8...67....3.9....5.......7.1...7.4...2...3.2...5...6.....8....9....2..4..6 initial
1......8...67....3.9....5.......7.1...7.4...2...3.2...5...6....68....9....2..4..6 autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
G2,I3: 1.. / G2 = 1  =>  1 pairs (_) / I3 = 1  =>  1 pairs (_)
A4,B4: 2.. / A4 = 2  =>  1 pairs (_) / B4 = 2  =>  1 pairs (_)
D1,D3: 4.. / D1 = 4  =>  2 pairs (_) / D3 = 4  =>  2 pairs (_)
G1,H3: 6.. / G1 = 6  =>  1 pairs (_) / H3 = 6  =>  0 pairs (_)
B1,A3: 7.. / B1 = 7  =>  3 pairs (_) / A3 = 7  =>  2 pairs (_)
E8,E9: 7.. / E8 = 7  =>  0 pairs (_) / E9 = 7  =>  6 pairs (_)
A3,A9: 7.. / A3 = 7  =>  2 pairs (_) / A9 = 7  =>  3 pairs (_)
I1,H2: 9.. / I1 = 9  =>  1 pairs (_) / H2 = 9  =>  1 pairs (_)
C7,A9: 9.. / C7 = 9  =>  1 pairs (_) / A9 = 9  =>  3 pairs (_)
* DURATION: 0:00:05.341574  START: 00:27:19.183260  END: 00:27:24.524834 2020-10-26
* CP COUNT: (9)
* INCONCLUSIVE

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* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
E8,E9: 7.. / E8 = 7  =>  0 pairs (X) / E9 = 7 ==>  0 pairs (*)
* DURATION: 0:00:14.663935  START: 00:27:24.525412  END: 00:27:39.189347 2020-10-26
* REASONING E8,E9: 7..
* DIS # E9: 7 # B1: 3,5 => CTR => B1: 2,4
* DIS # E9: 7 + B1: 2,4 # G2: 2 => CTR => G2: 1,4
* DIS # E9: 7 + B1: 2,4 + G2: 1,4 # I8: 1,4 => CTR => I8: 7
* PRF # E9: 7 + B1: 2,4 + G2: 1,4 + I8: 7 # B5: 1,3 => SOL
* STA # E9: 7 + B1: 2,4 + G2: 1,4 + I8: 7 + B5: 1,3
* CNT   4 HDP CHAINS /  13 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

481;L35;elev;21;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for E8,E9: 7..:

* DIS # E9: 7 # B1: 3,5 => CTR => B1: 2,4
* INC # E9: 7 + B1: 2,4 # E1: 3,5 => UNS
* INC # E9: 7 + B1: 2,4 # F1: 3,5 => UNS
* INC # E9: 7 + B1: 2,4 # E3: 3,8 => UNS
* INC # E9: 7 + B1: 2,4 # F3: 3,8 => UNS
* INC # E9: 7 + B1: 2,4 # G2: 1,4 => UNS
* DIS # E9: 7 + B1: 2,4 # G2: 2 => CTR => G2: 1,4
* INC # E9: 7 + B1: 2,4 + G2: 1,4 # D3: 1,4 => UNS
* INC # E9: 7 + B1: 2,4 + G2: 1,4 # D3: 2,6,8 => UNS
* INC # E9: 7 + B1: 2,4 + G2: 1,4 # I7: 1,4 => UNS
* DIS # E9: 7 + B1: 2,4 + G2: 1,4 # I8: 1,4 => CTR => I8: 7
* PRF # E9: 7 + B1: 2,4 + G2: 1,4 + I8: 7 # B5: 1,3 => SOL
* STA # E9: 7 + B1: 2,4 + G2: 1,4 + I8: 7 + B5: 1,3
* CNT  12 HDP CHAINS /  13 HYP OPENED