Analysis of xx-ph-00042143-12_07-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5....5....76.....5...74..8......9..6......37....2...1...7..8...9.....2.86.. initial

Autosolve

position: 98.76.5....5....76.....5...74..8......9..67.....37....2...1...7..8..79.....2.86.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000006

List of important HDP chains detected for E2,E9: 9..:

* PRF # E9: 9 # F2: 3,4 => SOL
* STA # E9: 9 + F2: 3,4
* CNT   1 HDP CHAINS /   8 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

98.76.5....5....76.....5...74..8......9..6......37....2...1...7..8...9.....2.86.. initial
98.76.5....5....76.....5...74..8......9..67.....37....2...1...7..8..79.....2.86.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H8,I8: 2.. / H8 = 2  =>  0 pairs (_) / I8 = 2  =>  0 pairs (_)
H4,H6: 6.. / H4 = 6  =>  0 pairs (_) / H6 = 6  =>  2 pairs (_)
D7,D8: 6.. / D7 = 6  =>  2 pairs (_) / D8 = 6  =>  0 pairs (_)
C4,H4: 6.. / C4 = 6  =>  2 pairs (_) / H4 = 6  =>  0 pairs (_)
B3,C3: 7.. / B3 = 7  =>  0 pairs (_) / C3 = 7  =>  1 pairs (_)
B9,C9: 7.. / B9 = 7  =>  1 pairs (_) / C9 = 7  =>  0 pairs (_)
B3,B9: 7.. / B3 = 7  =>  0 pairs (_) / B9 = 7  =>  1 pairs (_)
C3,C9: 7.. / C3 = 7  =>  1 pairs (_) / C9 = 7  =>  0 pairs (_)
D2,D3: 8.. / D2 = 8  =>  1 pairs (_) / D3 = 8  =>  1 pairs (_)
A5,A6: 8.. / A5 = 8  =>  0 pairs (_) / A6 = 8  =>  0 pairs (_)
G7,H7: 8.. / G7 = 8  =>  3 pairs (_) / H7 = 8  =>  1 pairs (_)
D2,G2: 8.. / D2 = 8  =>  1 pairs (_) / G2 = 8  =>  1 pairs (_)
H3,I3: 9.. / H3 = 9  =>  0 pairs (_) / I3 = 9  =>  2 pairs (_)
B7,B9: 9.. / B7 = 9  =>  1 pairs (_) / B9 = 9  =>  0 pairs (_)
B9,E9: 9.. / B9 = 9  =>  0 pairs (_) / E9 = 9  =>  1 pairs (_)
E2,E9: 9.. / E2 = 9  =>  0 pairs (_) / E9 = 9  =>  1 pairs (_)
* DURATION: 0:00:10.723860  START: 06:45:29.110624  END: 06:45:39.834484 2020-10-27
* CP COUNT: (16)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G7,H7: 8.. / G7 = 8 ==>  3 pairs (_) / H7 = 8 ==>  1 pairs (_)
H3,I3: 9.. / H3 = 9 ==>  0 pairs (_) / I3 = 9 ==>  2 pairs (_)
C4,H4: 6.. / C4 = 6 ==>  2 pairs (_) / H4 = 6 ==>  0 pairs (_)
D7,D8: 6.. / D7 = 6 ==>  2 pairs (_) / D8 = 6 ==>  0 pairs (_)
H4,H6: 6.. / H4 = 6 ==>  0 pairs (_) / H6 = 6 ==>  2 pairs (_)
D2,G2: 8.. / D2 = 8 ==>  1 pairs (_) / G2 = 8 ==>  1 pairs (_)
D2,D3: 8.. / D2 = 8 ==>  1 pairs (_) / D3 = 8 ==>  1 pairs (_)
E2,E9: 9.. / E2 = 9  =>  0 pairs (X) / E9 = 9 ==>  0 pairs (*)
* DURATION: 0:01:04.792563  START: 06:45:39.835097  END: 06:46:44.627660 2020-10-27
* REASONING E2,E9: 9..
* PRF # E9: 9 # F2: 3,4 => SOL
* STA # E9: 9 + F2: 3,4
* CNT   1 HDP CHAINS /   8 HYP OPENED
* DCP COUNT: (8)
* SOLUTION FOUND

Header Info

42143;12_07;GP;24;11.40;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G7,H7: 8..:

* INC # G7: 8 # F1: 1,4 => UNS
* INC # G7: 8 # F2: 1,4 => UNS
* INC # G7: 8 # A3: 1,4 => UNS
* INC # G7: 8 # C3: 1,4 => UNS
* INC # G7: 8 # G3: 1,4 => UNS
* INC # G7: 8 # D5: 1,4 => UNS
* INC # G7: 8 # D5: 5 => UNS
* INC # G7: 8 # H6: 8,9 => UNS
* INC # G7: 8 # H6: 1,2,4,5,6 => UNS
* INC # G7: 8 # I6: 8,9 => UNS
* INC # G7: 8 # I6: 1,2,4,5 => UNS
* INC # G7: 8 => UNS
* INC # H7: 8 # H8: 3,4 => UNS
* INC # H7: 8 # I8: 3,4 => UNS
* INC # H7: 8 # H9: 3,4 => UNS
* INC # H7: 8 # I9: 3,4 => UNS
* INC # H7: 8 # C7: 3,4 => UNS
* INC # H7: 8 # F7: 3,4 => UNS
* INC # H7: 8 # G2: 3,4 => UNS
* INC # H7: 8 # G3: 3,4 => UNS
* INC # H7: 8 => UNS
* CNT  21 HDP CHAINS /  21 HYP OPENED

Full list of HDP chains traversed for H3,I3: 9..:

* INC # I3: 9 => UNS
* INC # H3: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for C4,H4: 6..:

* INC # C4: 6 # B5: 1,2 => UNS
* INC # C4: 6 # B6: 1,2 => UNS
* INC # C4: 6 # F6: 1,2 => UNS
* INC # C4: 6 # G6: 1,2 => UNS
* INC # C4: 6 # I6: 1,2 => UNS
* INC # C4: 6 # C1: 1,2 => UNS
* INC # C4: 6 # C3: 1,2 => UNS
* INC # C4: 6 # A8: 3,4 => UNS
* INC # C4: 6 # A9: 3,4 => UNS
* INC # C4: 6 # C9: 3,4 => UNS
* INC # C4: 6 # F7: 3,4 => UNS
* INC # C4: 6 # G7: 3,4 => UNS
* INC # C4: 6 # H7: 3,4 => UNS
* INC # C4: 6 # C1: 3,4 => UNS
* INC # C4: 6 # C3: 3,4 => UNS
* INC # C4: 6 => UNS
* INC # H4: 6 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for D7,D8: 6..:

* INC # D7: 6 # A8: 3,4 => UNS
* INC # D7: 6 # A9: 3,4 => UNS
* INC # D7: 6 # C9: 3,4 => UNS
* INC # D7: 6 # F7: 3,4 => UNS
* INC # D7: 6 # G7: 3,4 => UNS
* INC # D7: 6 # H7: 3,4 => UNS
* INC # D7: 6 # C1: 3,4 => UNS
* INC # D7: 6 # C3: 3,4 => UNS
* INC # D7: 6 # E8: 4,5 => UNS
* INC # D7: 6 # E9: 4,5 => UNS
* INC # D7: 6 # A8: 4,5 => UNS
* INC # D7: 6 # H8: 4,5 => UNS
* INC # D7: 6 # I8: 4,5 => UNS
* INC # D7: 6 # D5: 4,5 => UNS
* INC # D7: 6 # D5: 1 => UNS
* INC # D7: 6 => UNS
* INC # D8: 6 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for H4,H6: 6..:

* INC # H6: 6 # B5: 1,2 => UNS
* INC # H6: 6 # B6: 1,2 => UNS
* INC # H6: 6 # F6: 1,2 => UNS
* INC # H6: 6 # G6: 1,2 => UNS
* INC # H6: 6 # I6: 1,2 => UNS
* INC # H6: 6 # C1: 1,2 => UNS
* INC # H6: 6 # C3: 1,2 => UNS
* INC # H6: 6 # A8: 3,4 => UNS
* INC # H6: 6 # A9: 3,4 => UNS
* INC # H6: 6 # C9: 3,4 => UNS
* INC # H6: 6 # F7: 3,4 => UNS
* INC # H6: 6 # G7: 3,4 => UNS
* INC # H6: 6 # H7: 3,4 => UNS
* INC # H6: 6 # C1: 3,4 => UNS
* INC # H6: 6 # C3: 3,4 => UNS
* INC # H6: 6 => UNS
* INC # H4: 6 => UNS
* CNT  17 HDP CHAINS /  17 HYP OPENED

Full list of HDP chains traversed for D2,G2: 8..:

* INC # D2: 8 # F1: 1,4 => UNS
* INC # D2: 8 # F2: 1,4 => UNS
* INC # D2: 8 # A3: 1,4 => UNS
* INC # D2: 8 # C3: 1,4 => UNS
* INC # D2: 8 # G3: 1,4 => UNS
* INC # D2: 8 # H3: 1,4 => UNS
* INC # D2: 8 # I3: 1,4 => UNS
* INC # D2: 8 # D5: 1,4 => UNS
* INC # D2: 8 # D5: 5 => UNS
* INC # D2: 8 => UNS
* INC # G2: 8 # H8: 3,4 => UNS
* INC # G2: 8 # I8: 3,4 => UNS
* INC # G2: 8 # H9: 3,4 => UNS
* INC # G2: 8 # I9: 3,4 => UNS
* INC # G2: 8 # C7: 3,4 => UNS
* INC # G2: 8 # F7: 3,4 => UNS
* INC # G2: 8 # G3: 3,4 => UNS
* INC # G2: 8 # G3: 1,2 => UNS
* INC # G2: 8 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for D2,D3: 8..:

* INC # D2: 8 # F1: 1,4 => UNS
* INC # D2: 8 # F2: 1,4 => UNS
* INC # D2: 8 # A3: 1,4 => UNS
* INC # D2: 8 # C3: 1,4 => UNS
* INC # D2: 8 # G3: 1,4 => UNS
* INC # D2: 8 # H3: 1,4 => UNS
* INC # D2: 8 # I3: 1,4 => UNS
* INC # D2: 8 # D5: 1,4 => UNS
* INC # D2: 8 # D5: 5 => UNS
* INC # D2: 8 => UNS
* INC # D3: 8 # H8: 3,4 => UNS
* INC # D3: 8 # I8: 3,4 => UNS
* INC # D3: 8 # H9: 3,4 => UNS
* INC # D3: 8 # I9: 3,4 => UNS
* INC # D3: 8 # C7: 3,4 => UNS
* INC # D3: 8 # F7: 3,4 => UNS
* INC # D3: 8 # G3: 3,4 => UNS
* INC # D3: 8 # G3: 1,2 => UNS
* INC # D3: 8 => UNS
* CNT  19 HDP CHAINS /  19 HYP OPENED

Full list of HDP chains traversed for E2,E9: 9..:

* INC # E9: 9 # E8: 3,4 => UNS
* INC # E9: 9 # E8: 5 => UNS
* INC # E9: 9 # C7: 3,4 => UNS
* INC # E9: 9 # G7: 3,4 => UNS
* INC # E9: 9 # H7: 3,4 => UNS
* INC # E9: 9 # F1: 3,4 => UNS
* PRF # E9: 9 # F2: 3,4 => SOL
* STA # E9: 9 + F2: 3,4
* CNT   7 HDP CHAINS /   8 HYP OPENED