Analysis of xx-ph-00024387-KC40b-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....7...6.5....5..4...6...3..2..1......8..74..6...7..4...1..69..4.......2.3. initial

Autosolve

position: 98.7.....7...6.5...65..4...6...3..2..1......8..74..6...7..4...1..69..4.......2.3. 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

Time used: 0:00:00.000006

List of important HDP chains detected for G7,I8: 2..:

* DIS # I8: 2 # H7: 8,9 => CTR => H7: 5,6
* CNT   1 HDP CHAINS /  42 HYP OPENED

List of important HDP chains detected for G5,I6: 3..:

* PRF # I6: 3 # H5: 7,9 => SOL
* STA # I6: 3 + H5: 7,9
* CNT   1 HDP CHAINS /  17 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

98.7.....7...6.5....5..4...6...3..2..1......8..74..6...7..4...1..69..4.......2.3. initial
98.7.....7...6.5...65..4...6...3..2..1......8..74..6...7..4...1..69..4.......2.3. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G4,H6: 1.. / G4 = 1  =>  3 pairs (_) / H6 = 1  =>  2 pairs (_)
G7,I8: 2.. / G7 = 2  =>  2 pairs (_) / I8 = 2  =>  2 pairs (_)
G5,I6: 3.. / G5 = 3  =>  2 pairs (_) / I6 = 3  =>  1 pairs (_)
I4,H5: 4.. / I4 = 4  =>  2 pairs (_) / H5 = 4  =>  2 pairs (_)
A5,A9: 4.. / A5 = 4  =>  2 pairs (_) / A9 = 4  =>  1 pairs (_)
E1,F1: 5.. / E1 = 5  =>  1 pairs (_) / F1 = 5  =>  1 pairs (_)
H1,I1: 6.. / H1 = 6  =>  0 pairs (_) / I1 = 6  =>  2 pairs (_)
D5,F5: 6.. / D5 = 6  =>  1 pairs (_) / F5 = 6  =>  1 pairs (_)
H7,I9: 6.. / H7 = 6  =>  2 pairs (_) / I9 = 6  =>  0 pairs (_)
D9,I9: 6.. / D9 = 6  =>  2 pairs (_) / I9 = 6  =>  0 pairs (_)
F5,F7: 6.. / F5 = 6  =>  1 pairs (_) / F7 = 6  =>  1 pairs (_)
H1,H7: 6.. / H1 = 6  =>  0 pairs (_) / H7 = 6  =>  2 pairs (_)
I1,I9: 6.. / I1 = 6  =>  2 pairs (_) / I9 = 6  =>  0 pairs (_)
C4,A6: 8.. / C4 = 8  =>  1 pairs (_) / A6 = 8  =>  1 pairs (_)
F2,E3: 9.. / F2 = 9  =>  0 pairs (_) / E3 = 9  =>  0 pairs (_)
* DURATION: 0:00:09.012428  START: 09:00:24.965051  END: 09:00:33.977479 2020-12-08
* CP COUNT: (15)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G4,H6: 1.. / G4 = 1 ==>  3 pairs (_) / H6 = 1 ==>  2 pairs (_)
I4,H5: 4.. / I4 = 4 ==>  2 pairs (_) / H5 = 4 ==>  2 pairs (_)
G7,I8: 2.. / G7 = 2 ==>  2 pairs (_) / I8 = 2 ==>  3 pairs (_)
A5,A9: 4.. / A5 = 4 ==>  2 pairs (_) / A9 = 4 ==>  1 pairs (_)
G5,I6: 3.. / G5 = 3 ==>  2 pairs (_) / I6 = 3 ==>  0 pairs (*)
* DURATION: 0:00:57.591405  START: 09:00:33.978100  END: 09:01:31.569505 2020-12-08
* REASONING G7,I8: 2..
* DIS # I8: 2 # H7: 8,9 => CTR => H7: 5,6
* CNT   1 HDP CHAINS /  42 HYP OPENED
* REASONING G5,I6: 3..
* PRF # I6: 3 # H5: 7,9 => SOL
* STA # I6: 3 + H5: 7,9
* CNT   1 HDP CHAINS /  17 HYP OPENED
* DCP COUNT: (5)
* SOLUTION FOUND

Header Info

24387;KC40b;GP;24;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G4,H6: 1..:

* INC # G4: 1 # I1: 2,3 => UNS
* INC # G4: 1 # I2: 2,3 => UNS
* INC # G4: 1 # G3: 2,3 => UNS
* INC # G4: 1 # I3: 2,3 => UNS
* INC # G4: 1 # C1: 2,3 => UNS
* INC # G4: 1 # C1: 1,4 => UNS
* INC # G4: 1 # F4: 5,8 => UNS
* INC # G4: 1 # E6: 5,8 => UNS
* INC # G4: 1 # F6: 5,8 => UNS
* INC # G4: 1 # D7: 5,8 => UNS
* INC # G4: 1 # D9: 5,8 => UNS
* INC # G4: 1 # I4: 5,9 => UNS
* INC # G4: 1 # H5: 5,9 => UNS
* INC # G4: 1 # I6: 5,9 => UNS
* INC # G4: 1 # B6: 5,9 => UNS
* INC # G4: 1 # E6: 5,9 => UNS
* INC # G4: 1 # F6: 5,9 => UNS
* INC # G4: 1 # H7: 5,9 => UNS
* INC # G4: 1 # H7: 6,8 => UNS
* INC # G4: 1 => UNS
* INC # H6: 1 # I1: 4,6 => UNS
* INC # H6: 1 # I1: 2,3 => UNS
* INC # H6: 1 # I4: 7,9 => UNS
* INC # H6: 1 # G5: 7,9 => UNS
* INC # H6: 1 # H5: 7,9 => UNS
* INC # H6: 1 # F4: 7,9 => UNS
* INC # H6: 1 # F4: 1,5,8 => UNS
* INC # H6: 1 # G3: 7,9 => UNS
* INC # H6: 1 # G9: 7,9 => UNS
* INC # H6: 1 => UNS
* CNT  30 HDP CHAINS /  30 HYP OPENED

Full list of HDP chains traversed for I4,H5: 4..:

* INC # I4: 4 # B6: 5,9 => UNS
* INC # I4: 4 # B6: 2,3 => UNS
* INC # I4: 4 # F4: 5,9 => UNS
* INC # I4: 4 # F4: 1,7,8 => UNS
* INC # I4: 4 # B9: 5,9 => UNS
* INC # I4: 4 # B9: 4 => UNS
* INC # I4: 4 # F4: 8,9 => UNS
* INC # I4: 4 # F4: 1,5,7 => UNS
* INC # I4: 4 # C7: 8,9 => UNS
* INC # I4: 4 # C9: 8,9 => UNS
* INC # I4: 4 => UNS
* INC # H5: 4 # I9: 5,9 => UNS
* INC # H5: 4 # I9: 6,7 => UNS
* INC # H5: 4 # B4: 5,9 => UNS
* INC # H5: 4 # B6: 5,9 => UNS
* INC # H5: 4 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for G7,I8: 2..:

* INC # G7: 2 # G3: 1,3 => UNS
* INC # G7: 2 # G3: 7,8,9 => UNS
* INC # G7: 2 # C1: 1,3 => UNS
* INC # G7: 2 # F1: 1,3 => UNS
* INC # G7: 2 # H8: 5,7 => UNS
* INC # G7: 2 # I9: 5,7 => UNS
* INC # G7: 2 # E8: 5,7 => UNS
* INC # G7: 2 # F8: 5,7 => UNS
* INC # G7: 2 # I4: 5,7 => UNS
* INC # G7: 2 # I4: 4,9 => UNS
* INC # G7: 2 => UNS
* INC # I8: 2 # A7: 3,5 => UNS
* INC # I8: 2 # A8: 3,5 => UNS
* INC # I8: 2 # F8: 3,5 => UNS
* INC # I8: 2 # F8: 1,7,8 => UNS
* INC # I8: 2 # B6: 3,5 => UNS
* INC # I8: 2 # B6: 2,9 => UNS
* DIS # I8: 2 # H7: 8,9 => CTR => H7: 5,6
* INC # I8: 2 + H7: 5,6 # G9: 8,9 => UNS
* INC # I8: 2 + H7: 5,6 # G9: 8,9 => UNS
* INC # I8: 2 + H7: 5,6 # G9: 7 => UNS
* INC # I8: 2 + H7: 5,6 # C7: 8,9 => UNS
* INC # I8: 2 + H7: 5,6 # C7: 2,3 => UNS
* INC # I8: 2 + H7: 5,6 # G3: 8,9 => UNS
* INC # I8: 2 + H7: 5,6 # G3: 1,2,3,7 => UNS
* INC # I8: 2 + H7: 5,6 # A7: 3,5 => UNS
* INC # I8: 2 + H7: 5,6 # A8: 3,5 => UNS
* INC # I8: 2 + H7: 5,6 # F8: 3,5 => UNS
* INC # I8: 2 + H7: 5,6 # F8: 1,7,8 => UNS
* INC # I8: 2 + H7: 5,6 # B6: 3,5 => UNS
* INC # I8: 2 + H7: 5,6 # B6: 2,9 => UNS
* INC # I8: 2 + H7: 5,6 # G9: 8,9 => UNS
* INC # I8: 2 + H7: 5,6 # G9: 7 => UNS
* INC # I8: 2 + H7: 5,6 # C7: 8,9 => UNS
* INC # I8: 2 + H7: 5,6 # C7: 2,3 => UNS
* INC # I8: 2 + H7: 5,6 # G3: 8,9 => UNS
* INC # I8: 2 + H7: 5,6 # G3: 1,2,3,7 => UNS
* INC # I8: 2 + H7: 5,6 # I9: 5,6 => UNS
* INC # I8: 2 + H7: 5,6 # I9: 7,9 => UNS
* INC # I8: 2 + H7: 5,6 # D7: 5,6 => UNS
* INC # I8: 2 + H7: 5,6 # F7: 5,6 => UNS
* INC # I8: 2 + H7: 5,6 => UNS
* CNT  42 HDP CHAINS /  42 HYP OPENED

Full list of HDP chains traversed for A5,A9: 4..:

* INC # A5: 4 # B6: 5,9 => UNS
* INC # A5: 4 # B6: 2,3 => UNS
* INC # A5: 4 # F4: 5,9 => UNS
* INC # A5: 4 # F4: 1,7,8 => UNS
* INC # A5: 4 # B9: 5,9 => UNS
* INC # A5: 4 # B9: 4 => UNS
* INC # A5: 4 # F4: 8,9 => UNS
* INC # A5: 4 # F4: 1,5,7 => UNS
* INC # A5: 4 # C7: 8,9 => UNS
* INC # A5: 4 # C9: 8,9 => UNS
* INC # A5: 4 => UNS
* INC # A9: 4 # I9: 5,9 => UNS
* INC # A9: 4 # I9: 6,7 => UNS
* INC # A9: 4 # B4: 5,9 => UNS
* INC # A9: 4 # B6: 5,9 => UNS
* INC # A9: 4 => UNS
* CNT  16 HDP CHAINS /  16 HYP OPENED

Full list of HDP chains traversed for G5,I6: 3..:

* INC # G5: 3 # G3: 1,2 => UNS
* INC # G5: 3 # G3: 7,8,9 => UNS
* INC # G5: 3 # C1: 1,2 => UNS
* INC # G5: 3 # E1: 1,2 => UNS
* INC # G5: 3 # I4: 5,9 => UNS
* INC # G5: 3 # H5: 5,9 => UNS
* INC # G5: 3 # H6: 5,9 => UNS
* INC # G5: 3 # B6: 5,9 => UNS
* INC # G5: 3 # E6: 5,9 => UNS
* INC # G5: 3 # F6: 5,9 => UNS
* INC # G5: 3 # I9: 5,9 => UNS
* INC # G5: 3 # I9: 6,7 => UNS
* INC # G5: 3 => UNS
* INC # I6: 3 # G4: 7,9 => UNS
* INC # I6: 3 # I4: 7,9 => UNS
* PRF # I6: 3 # H5: 7,9 => SOL
* STA # I6: 3 + H5: 7,9
* CNT  16 HDP CHAINS /  17 HYP OPENED