Analysis of xx-ph-01315268-13_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.76.5..7....8.....6.5....6.........4.6...3...7..56..2...8...1.79...8....8.279.. initial

Autosolve

position: 98.76.5..7....8.....6.5....6.........4.6...3...7..56..2...8...1.79...8....8.279.. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000008

List of important HDP chains detected for G7,H7: 7..:

* DIS # G7: 7 # H1: 2,4 => CTR => H1: 1
* DIS # G7: 7 + H1: 1 # G4: 4 => CTR => G4: 1,2
* DIS # G7: 7 + H1: 1 + G4: 1,2 # A3: 1 => CTR => A3: 3,4
* DIS # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 # D2: 3,4 => CTR => D2: 1,2
* DIS # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 + D2: 1,2 # B6: 3,9 => CTR => B6: 1,2
* PRF # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 + D2: 1,2 + B6: 1,2 # D6: 4,8 => SOL
* STA # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 + D2: 1,2 + B6: 1,2 + D6: 4,8
* CNT   6 HDP CHAINS /  49 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..7....8.....6.5....6.........4.6...3...7..56..2...8...1.79...8....8.279.. initial
98.76.5..7....8.....6.5....6.........4.6...3...7..56..2...8...1.79...8....8.279.. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
H8,I8: 2.. / H8 = 2  =>  1 pairs (_) / I8 = 2  =>  1 pairs (_)
B2,C2: 5.. / B2 = 5  =>  1 pairs (_) / C2 = 5  =>  4 pairs (_)
H2,I2: 6.. / H2 = 6  =>  1 pairs (_) / I2 = 6  =>  0 pairs (_)
B7,B9: 6.. / B7 = 6  =>  0 pairs (_) / B9 = 6  =>  5 pairs (_)
F7,F8: 6.. / F7 = 6  =>  7 pairs (_) / F8 = 6  =>  0 pairs (_)
E4,E5: 7.. / E4 = 7  =>  1 pairs (_) / E5 = 7  =>  1 pairs (_)
G7,H7: 7.. / G7 = 7  => 12 pairs (_) / H7 = 7  =>  1 pairs (_)
H3,I3: 8.. / H3 = 8  =>  0 pairs (_) / I3 = 8  =>  4 pairs (_)
A5,A6: 8.. / A5 = 8  =>  3 pairs (_) / A6 = 8  =>  1 pairs (_)
D4,D6: 8.. / D4 = 8  =>  0 pairs (_) / D6 = 8  =>  3 pairs (_)
A5,I5: 8.. / A5 = 8  =>  3 pairs (_) / I5 = 8  =>  1 pairs (_)
B4,B6: 9.. / B4 = 9  =>  0 pairs (_) / B6 = 9  =>  0 pairs (_)
D7,F7: 9.. / D7 = 9  =>  0 pairs (_) / F7 = 9  =>  1 pairs (_)
* DURATION: 0:00:09.015131  START: 08:11:14.126447  END: 08:11:23.141578 2021-01-13
* CP COUNT: (13)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
G7,H7: 7.. / G7 = 7 ==>  0 pairs (*) / H7 = 7  =>  0 pairs (X)
* DURATION: 0:00:48.857370  START: 08:11:23.142322  END: 08:12:11.999692 2021-01-13
* REASONING G7,H7: 7..
* DIS # G7: 7 # H1: 2,4 => CTR => H1: 1
* DIS # G7: 7 + H1: 1 # G4: 4 => CTR => G4: 1,2
* DIS # G7: 7 + H1: 1 + G4: 1,2 # A3: 1 => CTR => A3: 3,4
* DIS # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 # D2: 3,4 => CTR => D2: 1,2
* DIS # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 + D2: 1,2 # B6: 3,9 => CTR => B6: 1,2
* PRF # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 + D2: 1,2 + B6: 1,2 # D6: 4,8 => SOL
* STA # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 + D2: 1,2 + B6: 1,2 + D6: 4,8
* CNT   6 HDP CHAINS /  49 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

1315268;13_12;GP;26;11.30;11.30;9.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for G7,H7: 7..:

* DIS # G7: 7 # H1: 2,4 => CTR => H1: 1
* INC # G7: 7 + H1: 1 # G2: 2,4 => UNS
* INC # G7: 7 + H1: 1 # G3: 2,4 => UNS
* INC # G7: 7 + H1: 1 # C1: 2,4 => UNS
* INC # G7: 7 + H1: 1 # F1: 2,4 => UNS
* INC # G7: 7 + H1: 1 # I4: 2,4 => UNS
* INC # G7: 7 + H1: 1 # I6: 2,4 => UNS
* INC # G7: 7 + H1: 1 # I8: 2,4 => UNS
* INC # G7: 7 + H1: 1 # H4: 7,8 => UNS
* INC # G7: 7 + H1: 1 # H4: 2,4,5,9 => UNS
* INC # G7: 7 + H1: 1 # I4: 7,8 => UNS
* INC # G7: 7 + H1: 1 # I4: 2,4,5,9 => UNS
* INC # G7: 7 + H1: 1 # B4: 1,3 => UNS
* INC # G7: 7 + H1: 1 # C4: 1,3 => UNS
* INC # G7: 7 + H1: 1 # B6: 1,3 => UNS
* INC # G7: 7 + H1: 1 # D6: 1,3 => UNS
* INC # G7: 7 + H1: 1 # E6: 1,3 => UNS
* INC # G7: 7 + H1: 1 # A3: 1,3 => UNS
* INC # G7: 7 + H1: 1 # A8: 1,3 => UNS
* INC # G7: 7 + H1: 1 # A9: 1,3 => UNS
* INC # G7: 7 + H1: 1 # E4: 7,9 => UNS
* INC # G7: 7 + H1: 1 # E4: 1,3,4 => UNS
* INC # G7: 7 + H1: 1 # D4: 1,2 => UNS
* INC # G7: 7 + H1: 1 # F4: 1,2 => UNS
* INC # G7: 7 + H1: 1 # D6: 1,2 => UNS
* INC # G7: 7 + H1: 1 # F3: 1,2 => UNS
* INC # G7: 7 + H1: 1 # F3: 3,4,9 => UNS
* INC # G7: 7 + H1: 1 # G4: 1,2 => UNS
* DIS # G7: 7 + H1: 1 # G4: 4 => CTR => G4: 1,2
* INC # G7: 7 + H1: 1 + G4: 1,2 # H4: 7,9 => UNS
* INC # G7: 7 + H1: 1 + G4: 1,2 # I4: 7,9 => UNS
* INC # G7: 7 + H1: 1 + G4: 1,2 # B9: 3,6 => UNS
* INC # G7: 7 + H1: 1 + G4: 1,2 # B9: 1 => UNS
* INC # G7: 7 + H1: 1 + G4: 1,2 # A8: 3,4 => UNS
* INC # G7: 7 + H1: 1 + G4: 1,2 # A9: 3,4 => UNS
* INC # G7: 7 + H1: 1 + G4: 1,2 # D7: 3,4 => UNS
* INC # G7: 7 + H1: 1 + G4: 1,2 # D7: 5,9 => UNS
* INC # G7: 7 + H1: 1 + G4: 1,2 # A3: 3,4 => UNS
* DIS # G7: 7 + H1: 1 + G4: 1,2 # A3: 1 => CTR => A3: 3,4
* INC # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 # D2: 1,2 => UNS
* DIS # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 # D2: 3,4 => CTR => D2: 1,2
* INC # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 + D2: 1,2 # H4: 7,8 => UNS
* INC # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 + D2: 1,2 # H4: 4,5,9 => UNS
* INC # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 + D2: 1,2 # I4: 7,8 => UNS
* INC # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 + D2: 1,2 # I4: 4,5,9 => UNS
* DIS # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 + D2: 1,2 # B6: 3,9 => CTR => B6: 1,2
* INC # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 + D2: 1,2 + B6: 1,2 # D6: 1,2 => UNS
* PRF # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 + D2: 1,2 + B6: 1,2 # D6: 4,8 => SOL
* STA # G7: 7 + H1: 1 + G4: 1,2 + A3: 3,4 + D2: 1,2 + B6: 1,2 + D6: 4,8
* CNT  48 HDP CHAINS /  49 HYP OPENED