Analysis of xx-ph-00017538-Kz1_b-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7..6..75.....9...4.9.....3..6...2..75..........31....84...5.....2...6.....13.. initial

Autosolve

position: 98.7..6..75.....9...4.9.....3..6...2..75..........31....84...5.....2...6.....13.. autosolve
Autosolve

Pair Reduction Variants

Deep Pair Reduction

Deep Pair Reduction

Time used: 0:00:00.121932

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000015

List of important HDP chains detected for A7,E7: 3..:

* DIS # A7: 3 # I6: 4,8 => CTR => I6: 5,7,9
* DIS # A7: 3 + I6: 5,7,9 # G4: 4,8 => CTR => G4: 5,9
* DIS # A7: 3 + I6: 5,7,9 + G4: 5,9 # B7: 6,9 => CTR => B7: 1,2
* PRF # A7: 3 + I6: 5,7,9 + G4: 5,9 + B7: 1,2 # F5: 4,8 => SOL
* STA # A7: 3 + I6: 5,7,9 + G4: 5,9 + B7: 1,2 + F5: 4,8
* CNT   4 HDP CHAINS /  30 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..6..75.....9...4.9.....3..6...2..75..........31....84...5.....2...6.....13.. initial
98.7..6..75.....9...4.9.....3..6...2..75..........31....84...5.....2...6.....13.. autosolve

Classification

level: deep

Pairing Analysis

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* PAIRS (1)
E7: 3,7

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
D4,E5: 1.. / D4 = 1  =>  3 pairs (_) / E5 = 1  =>  2 pairs (_)
I7,H8: 1.. / I7 = 1  =>  1 pairs (_) / H8 = 1  =>  2 pairs (_)
F5,D6: 2.. / F5 = 2  =>  3 pairs (_) / D6 = 2  =>  1 pairs (_)
G7,H9: 2.. / G7 = 2  =>  2 pairs (_) / H9 = 2  =>  2 pairs (_)
H5,I5: 3.. / H5 = 3  =>  1 pairs (_) / I5 = 3  =>  1 pairs (_)
E7,D8: 3.. / E7 = 3  =>  1 pairs (_) / D8 = 3  =>  6 pairs (_)
A7,E7: 3.. / A7 = 3  =>  6 pairs (_) / E7 = 3  =>  1 pairs (_)
G4,I6: 5.. / G4 = 5  =>  2 pairs (_) / I6 = 5  =>  1 pairs (_)
F8,E9: 5.. / F8 = 5  =>  3 pairs (_) / E9 = 5  =>  1 pairs (_)
E1,E9: 5.. / E1 = 5  =>  3 pairs (_) / E9 = 5  =>  1 pairs (_)
G3,G4: 5.. / G3 = 5  =>  1 pairs (_) / G4 = 5  =>  2 pairs (_)
H5,H6: 6.. / H5 = 6  =>  1 pairs (_) / H6 = 6  =>  1 pairs (_)
F7,D9: 6.. / F7 = 6  =>  2 pairs (_) / D9 = 6  =>  2 pairs (_)
F4,E6: 7.. / F4 = 7  =>  4 pairs (_) / E6 = 7  =>  2 pairs (_)
* DURATION: 0:00:08.508338  START: 12:20:21.852807  END: 12:20:30.361145 2020-12-05
* CP COUNT: (14)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
A7,E7: 3.. / A7 = 3 ==>  0 pairs (*) / E7 = 3  =>  0 pairs (X)
* DURATION: 0:00:26.411511  START: 12:20:30.926114  END: 12:20:57.337625 2020-12-05
* REASONING A7,E7: 3..
* DIS # A7: 3 # I6: 4,8 => CTR => I6: 5,7,9
* DIS # A7: 3 + I6: 5,7,9 # G4: 4,8 => CTR => G4: 5,9
* DIS # A7: 3 + I6: 5,7,9 + G4: 5,9 # B7: 6,9 => CTR => B7: 1,2
* PRF # A7: 3 + I6: 5,7,9 + G4: 5,9 + B7: 1,2 # F5: 4,8 => SOL
* STA # A7: 3 + I6: 5,7,9 + G4: 5,9 + B7: 1,2 + F5: 4,8
* CNT   4 HDP CHAINS /  30 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

17538;Kz1 b;GP;23;11.30;11.30;10.30

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for A7,E7: 3..:

* INC # A7: 3 # E5: 4,8 => UNS
* INC # A7: 3 # F5: 4,8 => UNS
* INC # A7: 3 # A6: 4,8 => UNS
* INC # A7: 3 # H6: 4,8 => UNS
* DIS # A7: 3 # I6: 4,8 => CTR => I6: 5,7,9
* INC # A7: 3 + I6: 5,7,9 # E2: 4,8 => UNS
* INC # A7: 3 + I6: 5,7,9 # E2: 1,3 => UNS
* INC # A7: 3 + I6: 5,7,9 # E5: 4,8 => UNS
* INC # A7: 3 + I6: 5,7,9 # F5: 4,8 => UNS
* INC # A7: 3 + I6: 5,7,9 # A6: 4,8 => UNS
* INC # A7: 3 + I6: 5,7,9 # H6: 4,8 => UNS
* INC # A7: 3 + I6: 5,7,9 # E2: 4,8 => UNS
* INC # A7: 3 + I6: 5,7,9 # E2: 1,3 => UNS
* DIS # A7: 3 + I6: 5,7,9 # G4: 4,8 => CTR => G4: 5,9
* INC # A7: 3 + I6: 5,7,9 + G4: 5,9 # G5: 4,8 => UNS
* INC # A7: 3 + I6: 5,7,9 + G4: 5,9 # H5: 4,8 => UNS
* INC # A7: 3 + I6: 5,7,9 + G4: 5,9 # I5: 4,8 => UNS
* INC # A7: 3 + I6: 5,7,9 + G4: 5,9 # H6: 4,8 => UNS
* INC # A7: 3 + I6: 5,7,9 + G4: 5,9 # A4: 4,8 => UNS
* INC # A7: 3 + I6: 5,7,9 + G4: 5,9 # A4: 1,5 => UNS
* INC # A7: 3 + I6: 5,7,9 + G4: 5,9 # H8: 4,8 => UNS
* INC # A7: 3 + I6: 5,7,9 + G4: 5,9 # H9: 4,8 => UNS
* INC # A7: 3 + I6: 5,7,9 + G4: 5,9 # D9: 6,9 => UNS
* INC # A7: 3 + I6: 5,7,9 + G4: 5,9 # D9: 8 => UNS
* DIS # A7: 3 + I6: 5,7,9 + G4: 5,9 # B7: 6,9 => CTR => B7: 1,2
* INC # A7: 3 + I6: 5,7,9 + G4: 5,9 + B7: 1,2 # F8: 5,8 => UNS
* INC # A7: 3 + I6: 5,7,9 + G4: 5,9 + B7: 1,2 # F8: 9 => UNS
* INC # A7: 3 + I6: 5,7,9 + G4: 5,9 + B7: 1,2 # E5: 4,8 => UNS
* PRF # A7: 3 + I6: 5,7,9 + G4: 5,9 + B7: 1,2 # F5: 4,8 => SOL
* STA # A7: 3 + I6: 5,7,9 + G4: 5,9 + B7: 1,2 + F5: 4,8
* CNT  29 HDP CHAINS /  30 HYP OPENED