Analysis of xx-ph-00034525-12_05-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6.....9....7.5.....4.....3...98..5.......2..1..65..7......3...2.....1.4. initial

Autosolve

position: 98.7.....6.....9....7.5.....4...5.3...98..5.......2..1..65..7......3...2.....1.4. autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for F5,F8: 7..:

* DIS # F5: 7 # H8: 1,6 => CTR => H8: 5,8,9
* DIS # F5: 7 + H8: 5,8,9 # I9: 3,6 => CTR => I9: 5,8,9
* DIS # F5: 7 + H8: 5,8,9 + I9: 5,8,9 # A6: 7 => CTR => A6: 5,8
* DIS # F5: 7 + H8: 5,8,9 + I9: 5,8,9 + A6: 5,8 # C8: 5,8 => CTR => C8: 1,4
* DIS # F5: 7 + H8: 5,8,9 + I9: 5,8,9 + A6: 5,8 + C8: 1,4 # C9: 3 => CTR => C9: 5,8
* DIS # F5: 7 + H8: 5,8,9 + I9: 5,8,9 + A6: 5,8 + C8: 1,4 + C9: 5,8 # A3: 1,2 => CTR => A3: 4
* PRF # F5: 7 + H8: 5,8,9 + I9: 5,8,9 + A6: 5,8 + C8: 1,4 + C9: 5,8 + A3: 4 => SOL
* STA F5: 7
* CNT   7 HDP CHAINS /  28 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.....9....7.5.....4.....3...98..5.......2..1..65..7......3...2.....1.4. initial
98.7.....6.....9....7.5.....4...5.3...98..5.......2..1..65..7......3...2.....1.4. autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
G4,H5: 2.. / G4 = 2  =>  2 pairs (_) / H5 = 2  =>  1 pairs (_)
F5,D6: 3.. / F5 = 3  =>  2 pairs (_) / D6 = 3  =>  1 pairs (_)
I5,G6: 4.. / I5 = 4  =>  1 pairs (_) / G6 = 4  =>  1 pairs (_)
H8,I9: 5.. / H8 = 5  =>  0 pairs (_) / I9 = 5  =>  0 pairs (_)
B5,B6: 6.. / B5 = 6  =>  2 pairs (_) / B6 = 6  =>  1 pairs (_)
H2,I2: 7.. / H2 = 7  =>  1 pairs (_) / I2 = 7  =>  1 pairs (_)
F8,E9: 7.. / F8 = 7  =>  0 pairs (_) / E9 = 7  =>  7 pairs (_)
F5,F8: 7.. / F5 = 7  =>  7 pairs (_) / F8 = 7  =>  0 pairs (_)
D3,F3: 9.. / D3 = 9  =>  3 pairs (_) / F3 = 9  =>  1 pairs (_)
I4,H6: 9.. / I4 = 9  =>  2 pairs (_) / H6 = 9  =>  1 pairs (_)
* DURATION: 0:00:06.255323  START: 16:17:34.845497  END: 16:17:41.100820 2020-12-14
* CP COUNT: (10)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
F5,F8: 7.. / F5 = 7 ==>  0 pairs (*) / F8 = 7  =>  0 pairs (X)
* DURATION: 0:00:24.878519  START: 16:17:41.101484  END: 16:18:05.980003 2020-12-14
* REASONING F5,F8: 7..
* DIS # F5: 7 # H8: 1,6 => CTR => H8: 5,8,9
* DIS # F5: 7 + H8: 5,8,9 # I9: 3,6 => CTR => I9: 5,8,9
* DIS # F5: 7 + H8: 5,8,9 + I9: 5,8,9 # A6: 7 => CTR => A6: 5,8
* DIS # F5: 7 + H8: 5,8,9 + I9: 5,8,9 + A6: 5,8 # C8: 5,8 => CTR => C8: 1,4
* DIS # F5: 7 + H8: 5,8,9 + I9: 5,8,9 + A6: 5,8 + C8: 1,4 # C9: 3 => CTR => C9: 5,8
* DIS # F5: 7 + H8: 5,8,9 + I9: 5,8,9 + A6: 5,8 + C8: 1,4 + C9: 5,8 # A3: 1,2 => CTR => A3: 4
* PRF # F5: 7 + H8: 5,8,9 + I9: 5,8,9 + A6: 5,8 + C8: 1,4 + C9: 5,8 + A3: 4 => SOL
* STA F5: 7
* CNT   7 HDP CHAINS /  28 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

34525;12_05;GP;21;11.30;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for F5,F8: 7..:

* INC # F5: 7 # A6: 5,8 => UNS
* INC # F5: 7 # A6: 7 => UNS
* INC # F5: 7 # C8: 5,8 => UNS
* INC # F5: 7 # C9: 5,8 => UNS
* INC # F5: 7 # G4: 2,6 => UNS
* INC # F5: 7 # G4: 8 => UNS
* INC # F5: 7 # B5: 2,6 => UNS
* INC # F5: 7 # B5: 1,3 => UNS
* INC # F5: 7 # H1: 2,6 => UNS
* INC # F5: 7 # H3: 2,6 => UNS
* INC # F5: 7 # G6: 4,6 => UNS
* INC # F5: 7 # G6: 8 => UNS
* INC # F5: 7 # E5: 4,6 => UNS
* INC # F5: 7 # E5: 1 => UNS
* INC # F5: 7 # I1: 4,6 => UNS
* INC # F5: 7 # I3: 4,6 => UNS
* DIS # F5: 7 # H8: 1,6 => CTR => H8: 5,8,9
* INC # F5: 7 + H8: 5,8,9 # G1: 1,6 => UNS
* INC # F5: 7 + H8: 5,8,9 # G3: 1,6 => UNS
* DIS # F5: 7 + H8: 5,8,9 # I9: 3,6 => CTR => I9: 5,8,9
* INC # F5: 7 + H8: 5,8,9 + I9: 5,8,9 # A6: 5,8 => UNS
* DIS # F5: 7 + H8: 5,8,9 + I9: 5,8,9 # A6: 7 => CTR => A6: 5,8
* DIS # F5: 7 + H8: 5,8,9 + I9: 5,8,9 + A6: 5,8 # C8: 5,8 => CTR => C8: 1,4
* INC # F5: 7 + H8: 5,8,9 + I9: 5,8,9 + A6: 5,8 + C8: 1,4 # C9: 5,8 => UNS
* INC # F5: 7 + H8: 5,8,9 + I9: 5,8,9 + A6: 5,8 + C8: 1,4 # C9: 5,8 => UNS
* DIS # F5: 7 + H8: 5,8,9 + I9: 5,8,9 + A6: 5,8 + C8: 1,4 # C9: 3 => CTR => C9: 5,8
* DIS # F5: 7 + H8: 5,8,9 + I9: 5,8,9 + A6: 5,8 + C8: 1,4 + C9: 5,8 # A3: 1,2 => CTR => A3: 4
* PRF # F5: 7 + H8: 5,8,9 + I9: 5,8,9 + A6: 5,8 + C8: 1,4 + C9: 5,8 + A3: 4 => SOL
* STA F5: 7
* CNT  28 HDP CHAINS /  28 HYP OPENED