Analysis of xx-ph-01055196-13_07-base.sdk

Contents

Original Sudoku

level: very deep

Original Sudoku

position: 98.7..6..75.....9...6......49..7...3..79...6...58...7...96...5.....8.........21.. initial

Autosolve

position: 98.7..6..75..6..9...6......49..76..3..79...6...58...7...96...5.....8.........21.. 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

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

See Appendix: Full HDP Chains for full list of HDP chains.

Very Deep Constraint Pair Analysis

Very Deep Constraint Pair Analysis

Time used: 0:00:45.964959

List of important HDP chains detected for D4,G4: 5..:

* DIS # D4: 5 # H4: 2,8 # B6: 2,3 => CTR => B6: 6
* PRF # D4: 5 # H4: 2,8 + B6: 6 # G2: 2,8 => SOL
* STA # D4: 5 # H4: 2,8 + B6: 6 + G2: 2,8
* CNT   2 HDP CHAINS /  36 HYP OPENED

See Appendix: Full HDP Chains for full list of HDP chains.

Details

This sudoku is very deep. Here is some information that may be helpful on how to proceed.

Positions

98.7..6..75.....9...6......49..7...3..79...6...58...7...96...5.....8.........21.. initial
98.7..6..75..6..9...6......49..76..3..79...6...58...7...96...5.....8.........21.. autosolve

Classification

level: very deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A8,A9: 5.. / A8 = 5  =>  0 pairs (_) / A9 = 5  =>  3 pairs (_)
D4,G4: 5.. / D4 = 5  =>  7 pairs (_) / G4 = 5  =>  1 pairs (_)
A6,B6: 6.. / A6 = 6  =>  2 pairs (_) / B6 = 6  =>  2 pairs (_)
I8,I9: 6.. / I8 = 6  =>  0 pairs (_) / I9 = 6  =>  0 pairs (_)
G3,I3: 7.. / G3 = 7  =>  0 pairs (_) / I3 = 7  =>  0 pairs (_)
F7,F8: 7.. / F7 = 7  =>  1 pairs (_) / F8 = 7  =>  1 pairs (_)
B9,I9: 7.. / B9 = 7  =>  0 pairs (_) / I9 = 7  =>  1 pairs (_)
F2,F3: 8.. / F2 = 8  =>  0 pairs (_) / F3 = 8  =>  0 pairs (_)
C4,A5: 8.. / C4 = 8  =>  3 pairs (_) / A5 = 8  =>  2 pairs (_)
C4,C9: 8.. / C4 = 8  =>  3 pairs (_) / C9 = 8  =>  2 pairs (_)
E3,F3: 9.. / E3 = 9  =>  0 pairs (_) / F3 = 9  =>  0 pairs (_)
G6,I6: 9.. / G6 = 9  =>  2 pairs (_) / I6 = 9  =>  1 pairs (_)
F8,E9: 9.. / F8 = 9  =>  0 pairs (_) / E9 = 9  =>  0 pairs (_)
E9,I9: 9.. / E9 = 9  =>  0 pairs (_) / I9 = 9  =>  0 pairs (_)
E3,E9: 9.. / E3 = 9  =>  0 pairs (_) / E9 = 9  =>  0 pairs (_)
F3,F8: 9.. / F3 = 9  =>  0 pairs (_) / F8 = 9  =>  0 pairs (_)
G6,G8: 9.. / G6 = 9  =>  2 pairs (_) / G8 = 9  =>  1 pairs (_)
* DURATION: 0:00:13.121287  START: 10:19:50.717747  END: 10:20:03.839034 2021-01-12
* CP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D4,G4: 5.. / D4 = 5 ==>  7 pairs (_) / G4 = 5 ==>  1 pairs (_)
C4,C9: 8.. / C4 = 8 ==>  3 pairs (_) / C9 = 8 ==>  2 pairs (_)
C4,A5: 8.. / C4 = 8 ==>  3 pairs (_) / A5 = 8 ==>  2 pairs (_)
A8,A9: 5.. / A8 = 5 ==>  0 pairs (_) / A9 = 5 ==>  3 pairs (_)
A6,B6: 6.. / A6 = 6 ==>  2 pairs (_) / B6 = 6 ==>  2 pairs (_)
G6,G8: 9.. / G6 = 9 ==>  2 pairs (_) / G8 = 9 ==>  1 pairs (_)
G6,I6: 9.. / G6 = 9 ==>  2 pairs (_) / I6 = 9 ==>  1 pairs (_)
F7,F8: 7.. / F7 = 7 ==>  1 pairs (_) / F8 = 7 ==>  1 pairs (_)
B9,I9: 7.. / B9 = 7 ==>  0 pairs (_) / I9 = 7 ==>  1 pairs (_)
F3,F8: 9.. / F3 = 9 ==>  0 pairs (_) / F8 = 9 ==>  0 pairs (_)
E3,E9: 9.. / E3 = 9 ==>  0 pairs (_) / E9 = 9 ==>  0 pairs (_)
E9,I9: 9.. / E9 = 9 ==>  0 pairs (_) / I9 = 9 ==>  0 pairs (_)
F8,E9: 9.. / F8 = 9 ==>  0 pairs (_) / E9 = 9 ==>  0 pairs (_)
E3,F3: 9.. / E3 = 9 ==>  0 pairs (_) / F3 = 9 ==>  0 pairs (_)
F2,F3: 8.. / F2 = 8 ==>  0 pairs (_) / F3 = 8 ==>  0 pairs (_)
G3,I3: 7.. / G3 = 7 ==>  0 pairs (_) / I3 = 7 ==>  0 pairs (_)
I8,I9: 6.. / I8 = 6 ==>  0 pairs (_) / I9 = 6 ==>  0 pairs (_)
* DURATION: 0:01:44.758599  START: 10:20:03.839699  END: 10:21:48.598298 2021-01-12
* DCP COUNT: (17)
* INCONCLUSIVE

--------------------------------------------------
* VERY DEEP CONSTRAINT PAIRS (PAIR REDUCTION, RECURSIVE)
D4,G4: 5.. / D4 = 5 ==>  0 pairs (*) / G4 = 5  =>  0 pairs (X)
* DURATION: 0:00:45.962133  START: 10:21:48.826749  END: 10:22:34.788882 2021-01-12
* REASONING D4,G4: 5..
* DIS # D4: 5 # H4: 2,8 # B6: 2,3 => CTR => B6: 6
* PRF # D4: 5 # H4: 2,8 + B6: 6 # G2: 2,8 => SOL
* STA # D4: 5 # H4: 2,8 + B6: 6 + G2: 2,8
* CNT   2 HDP CHAINS /  36 HYP OPENED
* VDCP COUNT: (1)
* SOLUTION FOUND

Header Info

1055196;13_07;GP;24;11.30;1.50;1.50

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D4,G4: 5..:

* INC # D4: 5 # H4: 2,8 => UNS
* INC # D4: 5 # G5: 2,8 => UNS
* INC # D4: 5 # I5: 2,8 => UNS
* INC # D4: 5 # C4: 2,8 => UNS
* INC # D4: 5 # C4: 1 => UNS
* INC # D4: 5 # G2: 2,8 => UNS
* INC # D4: 5 # G3: 2,8 => UNS
* INC # D4: 5 # G7: 2,8 => UNS
* INC # D4: 5 # A8: 5,6 => UNS
* INC # D4: 5 # A8: 1,2,3 => UNS
* INC # D4: 5 # B8: 6,7 => UNS
* INC # D4: 5 # B8: 1,2,3,4 => UNS
* INC # D4: 5 # I9: 6,7 => UNS
* INC # D4: 5 # I9: 9 => UNS
* INC # D4: 5 # F3: 5,9 => UNS
* INC # D4: 5 # F3: 1,3,4,8 => UNS
* INC # D4: 5 # E7: 3,4 => UNS
* INC # D4: 5 # D8: 3,4 => UNS
* INC # D4: 5 # C9: 3,4 => UNS
* INC # D4: 5 # H9: 3,4 => UNS
* INC # D4: 5 # D2: 3,4 => UNS
* INC # D4: 5 # D3: 3,4 => UNS
* INC # D4: 5 # E3: 5,9 => UNS
* INC # D4: 5 # E3: 1,3,4 => UNS
* INC # D4: 5 # I8: 7,9 => UNS
* INC # D4: 5 # I9: 7,9 => UNS
* INC # D4: 5 => UNS
* INC # G4: 5 # E5: 1,2 => UNS
* INC # G4: 5 # E6: 1,2 => UNS
* INC # G4: 5 # C4: 1,2 => UNS
* INC # G4: 5 # H4: 1,2 => UNS
* INC # G4: 5 # D2: 1,2 => UNS
* INC # G4: 5 # D3: 1,2 => UNS
* INC # G4: 5 => UNS
* CNT  34 HDP CHAINS /  34 HYP OPENED

Full list of HDP chains traversed for C4,C9: 8..:

* INC # C4: 8 # G5: 2,5 => UNS
* INC # C4: 8 # I5: 2,5 => UNS
* INC # C4: 8 # D4: 2,5 => UNS
* INC # C4: 8 # D4: 1 => UNS
* INC # C4: 8 # G3: 2,5 => UNS
* INC # C4: 8 # G3: 3,4,7,8 => UNS
* INC # C4: 8 # I5: 1,2 => UNS
* INC # C4: 8 # I6: 1,2 => UNS
* INC # C4: 8 # D4: 1,2 => UNS
* INC # C4: 8 # D4: 5 => UNS
* INC # C4: 8 # H1: 1,2 => UNS
* INC # C4: 8 # H3: 1,2 => UNS
* INC # C4: 8 # B7: 3,4 => UNS
* INC # C4: 8 # B8: 3,4 => UNS
* INC # C4: 8 # C8: 3,4 => UNS
* INC # C4: 8 # B9: 3,4 => UNS
* INC # C4: 8 # D9: 3,4 => UNS
* INC # C4: 8 # E9: 3,4 => UNS
* INC # C4: 8 # H9: 3,4 => UNS
* INC # C4: 8 # C1: 3,4 => UNS
* INC # C4: 8 # C2: 3,4 => UNS
* INC # C4: 8 => UNS
* INC # C9: 8 # B5: 1,2 => UNS
* INC # C9: 8 # A6: 1,2 => UNS
* INC # C9: 8 # B6: 1,2 => UNS
* INC # C9: 8 # D4: 1,2 => UNS
* INC # C9: 8 # H4: 1,2 => UNS
* INC # C9: 8 # C1: 1,2 => UNS
* INC # C9: 8 # C2: 1,2 => UNS
* INC # C9: 8 # C8: 1,2 => UNS
* INC # C9: 8 # G7: 3,4 => UNS
* INC # C9: 8 # G8: 3,4 => UNS
* INC # C9: 8 # H8: 3,4 => UNS
* INC # C9: 8 # B9: 3,4 => UNS
* INC # C9: 8 # D9: 3,4 => UNS
* INC # C9: 8 # E9: 3,4 => UNS
* INC # C9: 8 # H1: 3,4 => UNS
* INC # C9: 8 # H3: 3,4 => UNS
* INC # C9: 8 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

Full list of HDP chains traversed for C4,A5: 8..:

* INC # C4: 8 # G5: 2,5 => UNS
* INC # C4: 8 # I5: 2,5 => UNS
* INC # C4: 8 # D4: 2,5 => UNS
* INC # C4: 8 # D4: 1 => UNS
* INC # C4: 8 # G3: 2,5 => UNS
* INC # C4: 8 # G3: 3,4,7,8 => UNS
* INC # C4: 8 # I5: 1,2 => UNS
* INC # C4: 8 # I6: 1,2 => UNS
* INC # C4: 8 # D4: 1,2 => UNS
* INC # C4: 8 # D4: 5 => UNS
* INC # C4: 8 # H1: 1,2 => UNS
* INC # C4: 8 # H3: 1,2 => UNS
* INC # C4: 8 # B7: 3,4 => UNS
* INC # C4: 8 # B8: 3,4 => UNS
* INC # C4: 8 # C8: 3,4 => UNS
* INC # C4: 8 # B9: 3,4 => UNS
* INC # C4: 8 # D9: 3,4 => UNS
* INC # C4: 8 # E9: 3,4 => UNS
* INC # C4: 8 # H9: 3,4 => UNS
* INC # C4: 8 # C1: 3,4 => UNS
* INC # C4: 8 # C2: 3,4 => UNS
* INC # C4: 8 => UNS
* INC # A5: 8 # B5: 1,2 => UNS
* INC # A5: 8 # A6: 1,2 => UNS
* INC # A5: 8 # B6: 1,2 => UNS
* INC # A5: 8 # D4: 1,2 => UNS
* INC # A5: 8 # H4: 1,2 => UNS
* INC # A5: 8 # C1: 1,2 => UNS
* INC # A5: 8 # C2: 1,2 => UNS
* INC # A5: 8 # C8: 1,2 => UNS
* INC # A5: 8 # G7: 3,4 => UNS
* INC # A5: 8 # G8: 3,4 => UNS
* INC # A5: 8 # H8: 3,4 => UNS
* INC # A5: 8 # B9: 3,4 => UNS
* INC # A5: 8 # D9: 3,4 => UNS
* INC # A5: 8 # E9: 3,4 => UNS
* INC # A5: 8 # H1: 3,4 => UNS
* INC # A5: 8 # H3: 3,4 => UNS
* INC # A5: 8 => UNS
* CNT  39 HDP CHAINS /  39 HYP OPENED

Full list of HDP chains traversed for A8,A9: 5..:

* INC # A9: 5 # B8: 6,7 => UNS
* INC # A9: 5 # B8: 1,2,3,4 => UNS
* INC # A9: 5 # E7: 3,4 => UNS
* INC # A9: 5 # F7: 3,4 => UNS
* INC # A9: 5 # D8: 3,4 => UNS
* INC # A9: 5 # F8: 3,4 => UNS
* INC # A9: 5 # C9: 3,4 => UNS
* INC # A9: 5 # H9: 3,4 => UNS
* INC # A9: 5 # D2: 3,4 => UNS
* INC # A9: 5 # D3: 3,4 => UNS
* INC # A9: 5 # I8: 6,7 => UNS
* INC # A9: 5 # I8: 2,4,9 => UNS
* INC # A9: 5 => UNS
* INC # A8: 5 => UNS
* CNT  14 HDP CHAINS /  14 HYP OPENED

Full list of HDP chains traversed for A6,B6: 6..:

* INC # A6: 6 # B8: 6,7 => UNS
* INC # A6: 6 # B8: 1,2,3,4 => UNS
* INC # A6: 6 # I8: 6,7 => UNS
* INC # A6: 6 # I8: 2,4,9 => UNS
* INC # A6: 6 => UNS
* INC # B6: 6 => UNS
* CNT   6 HDP CHAINS /   6 HYP OPENED

Full list of HDP chains traversed for G6,G8: 9..:

* INC # G6: 9 => UNS
* INC # G8: 9 # G5: 2,4 => UNS
* INC # G8: 9 # I5: 2,4 => UNS
* INC # G8: 9 # E6: 2,4 => UNS
* INC # G8: 9 # E6: 1,3 => UNS
* INC # G8: 9 # G2: 2,4 => UNS
* INC # G8: 9 # G3: 2,4 => UNS
* INC # G8: 9 # G7: 2,4 => UNS
* INC # G8: 9 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for G6,I6: 9..:

* INC # G6: 9 => UNS
* INC # I6: 9 # G5: 2,4 => UNS
* INC # I6: 9 # I5: 2,4 => UNS
* INC # I6: 9 # E6: 2,4 => UNS
* INC # I6: 9 # E6: 1,3 => UNS
* INC # I6: 9 # G2: 2,4 => UNS
* INC # I6: 9 # G3: 2,4 => UNS
* INC # I6: 9 # G7: 2,4 => UNS
* INC # I6: 9 => UNS
* CNT   9 HDP CHAINS /   9 HYP OPENED

Full list of HDP chains traversed for F7,F8: 7..:

* INC # F7: 7 # I8: 7,9 => UNS
* INC # F7: 7 # I9: 7,9 => UNS
* INC # F7: 7 => UNS
* INC # F8: 7 # E5: 1,2 => UNS
* INC # F8: 7 # E6: 1,2 => UNS
* INC # F8: 7 # C4: 1,2 => UNS
* INC # F8: 7 # H4: 1,2 => UNS
* INC # F8: 7 # D2: 1,2 => UNS
* INC # F8: 7 # D3: 1,2 => UNS
* INC # F8: 7 => UNS
* CNT  10 HDP CHAINS /  10 HYP OPENED

Full list of HDP chains traversed for B9,I9: 7..:

* INC # I9: 7 # G5: 2,4 => UNS
* INC # I9: 7 # I5: 2,4 => UNS
* INC # I9: 7 # E6: 2,4 => UNS
* INC # I9: 7 # E6: 1,3 => UNS
* INC # I9: 7 # G2: 2,4 => UNS
* INC # I9: 7 # G7: 2,4 => UNS
* INC # I9: 7 => UNS
* INC # B9: 7 => UNS
* CNT   8 HDP CHAINS /   8 HYP OPENED

Full list of HDP chains traversed for F3,F8: 9..:

* INC # F3: 9 => UNS
* INC # F8: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E3,E9: 9..:

* INC # E3: 9 => UNS
* INC # E9: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E9,I9: 9..:

* INC # E9: 9 => UNS
* INC # I9: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F8,E9: 9..:

* INC # F8: 9 => UNS
* INC # E9: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for E3,F3: 9..:

* INC # E3: 9 => UNS
* INC # F3: 9 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for F2,F3: 8..:

* INC # F2: 8 => UNS
* INC # F3: 8 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for G3,I3: 7..:

* INC # G3: 7 => UNS
* INC # I3: 7 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

Full list of HDP chains traversed for I8,I9: 6..:

* INC # I8: 6 => UNS
* INC # I9: 6 => UNS
* CNT   2 HDP CHAINS /   2 HYP OPENED

A2. Very Deep Constraint Pair Analysis

Full list of HDP chains traversed for D4,G4: 5..:

* INC # D4: 5 # H4: 2,8 => UNS
* INC # D4: 5 # G5: 2,8 => UNS
* INC # D4: 5 # I5: 2,8 => UNS
* INC # D4: 5 # C4: 2,8 => UNS
* INC # D4: 5 # C4: 1 => UNS
* INC # D4: 5 # G2: 2,8 => UNS
* INC # D4: 5 # G3: 2,8 => UNS
* INC # D4: 5 # G7: 2,8 => UNS
* INC # D4: 5 # A8: 5,6 => UNS
* INC # D4: 5 # A8: 1,2,3 => UNS
* INC # D4: 5 # B8: 6,7 => UNS
* INC # D4: 5 # B8: 1,2,3,4 => UNS
* INC # D4: 5 # I9: 6,7 => UNS
* INC # D4: 5 # I9: 9 => UNS
* INC # D4: 5 # F3: 5,9 => UNS
* INC # D4: 5 # F3: 1,3,4,8 => UNS
* INC # D4: 5 # E7: 3,4 => UNS
* INC # D4: 5 # D8: 3,4 => UNS
* INC # D4: 5 # C9: 3,4 => UNS
* INC # D4: 5 # H9: 3,4 => UNS
* INC # D4: 5 # D2: 3,4 => UNS
* INC # D4: 5 # D3: 3,4 => UNS
* INC # D4: 5 # E3: 5,9 => UNS
* INC # D4: 5 # E3: 1,3,4 => UNS
* INC # D4: 5 # I8: 7,9 => UNS
* INC # D4: 5 # I9: 7,9 => UNS
* INC # D4: 5 # H4: 2,8 # A6: 2,3 => UNS
* DIS # D4: 5 # H4: 2,8 # B6: 2,3 => CTR => B6: 6
* INC # D4: 5 # H4: 2,8 + B6: 6 # E5: 2,3 => UNS
* INC # D4: 5 # H4: 2,8 + B6: 6 # E5: 1,4 => UNS
* INC # D4: 5 # H4: 2,8 + B6: 6 # B3: 2,3 => UNS
* INC # D4: 5 # H4: 2,8 + B6: 6 # B7: 2,3 => UNS
* INC # D4: 5 # H4: 2,8 + B6: 6 # B8: 2,3 => UNS
* PRF # D4: 5 # H4: 2,8 + B6: 6 # G2: 2,8 => SOL
* STA # D4: 5 # H4: 2,8 + B6: 6 + G2: 2,8
* CNT  34 HDP CHAINS /  36 HYP OPENED