Analysis of xx-ph-00001166-789-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ...4.....4...891...8..13....3.1..9..6....5.2...8.....5..2....76.9.3..4......7.... initial

Autosolve

position: ...4.....4...891...8..13....3.1..9..6....5.2...8.....5..2....76.9.3..4......7.... autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000009

List of important HDP chains detected for F4,D5: 8..:

* PRF # F4: 8 # H6: 4,6 => SOL
* STA # F4: 8 + H6: 4,6
* CNT   1 HDP CHAINS /   6 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

...4.....4...891...8..13....3.1..9..6....5.2...8.....5..2....76.9.3..4......7.... initial
...4.....4...891...8..13....3.1..9..6....5.2...8.....5..2....76.9.3..4......7.... autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
I5,H6: 1.. / I5 = 1  =>  2 pairs (_) / H6 = 1  =>  1 pairs (_)
E5,E6: 3.. / E5 = 3  =>  1 pairs (_) / E6 = 3  =>  2 pairs (_)
A7,G7: 3.. / A7 = 3  =>  1 pairs (_) / G7 = 3  =>  7 pairs (_)
H3,I3: 4.. / H3 = 4  =>  1 pairs (_) / I3 = 4  =>  1 pairs (_)
A4,C4: 5.. / A4 = 5  =>  1 pairs (_) / C4 = 5  =>  1 pairs (_)
A8,C8: 7.. / A8 = 7  =>  1 pairs (_) / C8 = 7  =>  1 pairs (_)
F4,D5: 8.. / F4 = 8  =>  4 pairs (_) / D5 = 8  =>  2 pairs (_)
C5,A6: 9.. / C5 = 9  =>  2 pairs (_) / A6 = 9  =>  0 pairs (_)
D7,E7: 9.. / D7 = 9  =>  4 pairs (_) / E7 = 9  =>  2 pairs (_)
H9,I9: 9.. / H9 = 9  =>  0 pairs (_) / I9 = 9  =>  0 pairs (_)
* DURATION: 0:00:08.162417  START: 21:30:28.366380  END: 21:30:36.528797 2020-11-25
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A7,G7: 3.. / A7 = 3 ==>  1 pairs (_) / G7 = 3 ==>  7 pairs (_)
D7,E7: 9.. / D7 = 9 ==>  4 pairs (_) / E7 = 9 ==>  2 pairs (_)
F4,D5: 8.. / F4 = 8 ==>  0 pairs (*) / D5 = 8  =>  0 pairs (X)
* DURATION: 0:00:41.324948  START: 21:30:36.529750  END: 21:31:17.854698 2020-11-25
* REASONING F4,D5: 8..
* PRF # F4: 8 # H6: 4,6 => SOL
* STA # F4: 8 + H6: 4,6
* CNT   1 HDP CHAINS /   6 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

1166;789;elev;23;11.30;11.30;2.60

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A7,G7: 3..:

* INC # G7: 3 # A4: 5,7 => UNS
* INC # G7: 3 # A4: 2 => UNS
* INC # G7: 3 # C1: 5,7 => UNS
* INC # G7: 3 # C2: 5,7 => UNS
* INC # G7: 3 # C3: 5,7 => UNS
* INC # G7: 3 # C8: 5,7 => UNS
* INC # G7: 3 # F4: 2,6 => UNS
* INC # G7: 3 # D6: 2,6 => UNS
* INC # G7: 3 # F6: 2,6 => UNS
* INC # G7: 3 # E1: 2,6 => UNS
* INC # G7: 3 # E8: 2,6 => UNS
* INC # G7: 3 # I4: 7,8 => UNS
* INC # G7: 3 # I4: 4 => UNS
* INC # G7: 3 # D5: 7,8 => UNS
* INC # G7: 3 # D5: 9 => UNS
* INC # G7: 3 # G1: 7,8 => UNS
* INC # G7: 3 # G1: 2,5,6 => UNS
* INC # G7: 3 # D6: 6,7 => UNS
* INC # G7: 3 # F6: 6,7 => UNS
* INC # G7: 3 # G1: 6,7 => UNS
* INC # G7: 3 # G3: 6,7 => UNS
* INC # G7: 3 # E5: 4,9 => UNS
* INC # G7: 3 # E6: 4,9 => UNS
* INC # G7: 3 => UNS
* INC # A7: 3 # H8: 5,8 => UNS
* INC # A7: 3 # G9: 5,8 => UNS
* INC # A7: 3 # H9: 5,8 => UNS
* INC # A7: 3 # D7: 5,8 => UNS
* INC # A7: 3 # D7: 9 => UNS
* INC # A7: 3 # G1: 5,8 => UNS
* INC # A7: 3 # G1: 2,3,6,7 => UNS
* INC # A7: 3 => UNS
* CNT  32 HDP CHAINS /  32 HYP OPENED

Full list of HDP chains traversed for D7,E7: 9..:

* INC # D7: 9 # F4: 7,8 => UNS
* INC # D7: 9 # F4: 2,4,6 => UNS
* INC # D7: 9 # G5: 7,8 => UNS
* INC # D7: 9 # I5: 7,8 => UNS
* INC # D7: 9 # B7: 4,5 => UNS
* INC # D7: 9 # B7: 1 => UNS
* INC # D7: 9 => UNS
* INC # E7: 9 # E6: 3,4 => UNS
* INC # E7: 9 # E6: 2,6 => UNS
* INC # E7: 9 # I5: 3,4 => UNS
* INC # E7: 9 # I5: 1,7,8 => UNS
* INC # E7: 9 # D9: 5,8 => UNS
* INC # E7: 9 # D9: 2,6 => UNS
* INC # E7: 9 # A7: 5,8 => UNS
* INC # E7: 9 # G7: 5,8 => UNS
* INC # E7: 9 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for F4,D5: 8..:

* INC # F4: 8 # D6: 7,9 => UNS
* INC # F4: 8 # D6: 2,6 => UNS
* INC # F4: 8 # C5: 7,9 => UNS
* INC # F4: 8 # C5: 1,4 => UNS
* PRF # F4: 8 # H6: 4,6 => SOL
* STA # F4: 8 + H6: 4,6
* CNT   5 HDP CHAINS /   6 HYP OPENED