Analysis of xx-ph-00001271-L137-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: .2.....8.4..1.9.....6...1....9..54......7...2........3..16..5..6..5.4....8..3.... initial

Autosolve

position: 12.....8.4..1.9.....6...1....9..54......7...2........3..16..5..6..5.4....8..3.... autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000011

List of important HDP chains detected for C2,E2: 8..:

* DIS # E2: 8 # C5: 3,5 => CTR => C5: 4,8
* DIS # E2: 8 + C5: 4,8 # B7: 3,7 => CTR => B7: 4
* DIS # E2: 8 + C5: 4,8 + B7: 4 # C8: 3,7 => CTR => C8: 2
* DIS # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 # H7: 3,7 => CTR => H7: 2,9
* DIS # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 + H7: 2,9 # D1: 3,7 => CTR => D1: 4
* DIS # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 + H7: 2,9 + D1: 4 # F1: 3,7 => CTR => F1: 6
* PRF # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 + H7: 2,9 + D1: 4 + F1: 6 => SOL
* STA E2: 8
* CNT   7 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

.2.....8.4..1.9.....6...1....9..54......7...2........3..16..5..6..5.4....8..3.... initial
12.....8.4..1.9.....6...1....9..54......7...2........3..16..5..6..5.4....8..3.... autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
E8,F9: 1.. / E8 = 1  =>  1 pairs (_) / F9 = 1  =>  0 pairs (_)
B7,C9: 4.. / B7 = 4  =>  0 pairs (_) / C9 = 4  =>  3 pairs (_)
H5,H6: 5.. / H5 = 5  =>  1 pairs (_) / H6 = 5  =>  0 pairs (_)
A9,C9: 5.. / A9 = 5  =>  1 pairs (_) / C9 = 5  =>  1 pairs (_)
C2,A3: 8.. / C2 = 8  =>  0 pairs (_) / A3 = 8  =>  3 pairs (_)
C2,E2: 8.. / C2 = 8  =>  0 pairs (_) / E2 = 8  =>  3 pairs (_)
A3,B3: 9.. / A3 = 9  =>  0 pairs (_) / B3 = 9  =>  1 pairs (_)
G1,I1: 9.. / G1 = 9  =>  3 pairs (_) / I1 = 9  =>  0 pairs (_)
* DURATION: 0:00:06.345716  START: 20:23:21.763114  END: 20:23:28.108830 2020-11-26
* CP COUNT: (8)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G1,I1: 9.. / G1 = 9 ==>  3 pairs (_) / I1 = 9 ==>  0 pairs (_)
C2,E2: 8.. / C2 = 8  =>  0 pairs (X) / E2 = 8 ==>  0 pairs (*)
* DURATION: 0:00:23.249203  START: 20:23:28.109533  END: 20:23:51.358736 2020-11-26
* REASONING C2,E2: 8..
* DIS # E2: 8 # C5: 3,5 => CTR => C5: 4,8
* DIS # E2: 8 + C5: 4,8 # B7: 3,7 => CTR => B7: 4
* DIS # E2: 8 + C5: 4,8 + B7: 4 # C8: 3,7 => CTR => C8: 2
* DIS # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 # H7: 3,7 => CTR => H7: 2,9
* DIS # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 + H7: 2,9 # D1: 3,7 => CTR => D1: 4
* DIS # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 + H7: 2,9 + D1: 4 # F1: 3,7 => CTR => F1: 6
* PRF # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 + H7: 2,9 + D1: 4 + F1: 6 => SOL
* STA E2: 8
* CNT   7 HDP CHAINS /  16 HYP OPENED
* DCP COUNT: (2)
* SOLUTION FOUND

Header Info

1271;L137;elev;21;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G1,I1: 9..:

* INC # G1: 9 # I4: 6,8 => UNS
* INC # G1: 9 # G6: 6,8 => UNS
* INC # G1: 9 # F5: 6,8 => UNS
* INC # G1: 9 # F5: 1,3 => UNS
* INC # G1: 9 => UNS
* INC # I1: 9 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for C2,E2: 8..:

* INC # E2: 8 # B5: 3,5 => UNS
* DIS # E2: 8 # C5: 3,5 => CTR => C5: 4,8
* INC # E2: 8 + C5: 4,8 # B5: 3,5 => UNS
* INC # E2: 8 + C5: 4,8 # B5: 1,4,6 => UNS
* INC # E2: 8 + C5: 4,8 # A7: 3,7 => UNS
* DIS # E2: 8 + C5: 4,8 # B7: 3,7 => CTR => B7: 4
* DIS # E2: 8 + C5: 4,8 + B7: 4 # C8: 3,7 => CTR => C8: 2
* INC # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 # G8: 3,7 => UNS
* INC # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 # H8: 3,7 => UNS
* INC # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 # B4: 3,7 => UNS
* INC # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 # B4: 1,6 => UNS
* INC # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 # H7: 2,9 => UNS
* DIS # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 # H7: 3,7 => CTR => H7: 2,9
* DIS # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 + H7: 2,9 # D1: 3,7 => CTR => D1: 4
* DIS # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 + H7: 2,9 + D1: 4 # F1: 3,7 => CTR => F1: 6
* PRF # E2: 8 + C5: 4,8 + B7: 4 + C8: 2 + H7: 2,9 + D1: 4 + F1: 6 => SOL
* STA E2: 8
* CNT  16 HDP CHAINS /  16 HYP OPENED