Analysis of xx-ph-00018921-KZ1C-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: 98.7.....6...8.7....7..5....4...3.6...68..5.........24..95..6......2...1.....1.3. initial

Autosolve

position: 98.7.....6...8.7....7..5....4...3.6...68..5.........24..95..6......2...1.....1.3. 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 D4,F5: 2..:

* DIS # F5: 2 # D2: 4,9 => CTR => D2: 1,2,3
* DIS # F5: 2 + D2: 1,2,3 # D3: 4,9 => CTR => D3: 1,2,3,6
* DIS # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 # E4: 1,9 => CTR => E4: 5,7
* DIS # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 # A7: 3,7 => CTR => A7: 1,2,4,8
* DIS # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 + A7: 1,2,4,8 # B7: 3,7 => CTR => B7: 1,2
* PRF # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 + A7: 1,2,4,8 + B7: 1,2 # H2: 4,9 => SOL
* STA # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 + A7: 1,2,4,8 + B7: 1,2 + H2: 4,9
* CNT   6 HDP CHAINS /  22 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...8.7....7..5....4...3.6...68..5.........24..95..6......2...1.....1.3. initial
98.7.....6...8.7....7..5....4...3.6...68..5.........24..95..6......2...1.....1.3. autosolve

Classification

level: deep

Pairing Analysis

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* CONSTRAINT PAIRS (AUTO SOLVE)
A7,B7: 1.. / A7 = 1  =>  0 pairs (_) / B7 = 1  =>  1 pairs (_)
D4,F5: 2.. / D4 = 2  =>  0 pairs (_) / F5 = 2  =>  4 pairs (_)
I5,G6: 3.. / I5 = 3  =>  0 pairs (_) / G6 = 3  =>  1 pairs (_)
E7,D8: 3.. / E7 = 3  =>  0 pairs (_) / D8 = 3  =>  3 pairs (_)
E5,F5: 4.. / E5 = 4  =>  1 pairs (_) / F5 = 4  =>  3 pairs (_)
E4,E6: 5.. / E4 = 5  =>  0 pairs (_) / E6 = 5  =>  0 pairs (_)
H8,I9: 5.. / H8 = 5  =>  1 pairs (_) / I9 = 5  =>  0 pairs (_)
I1,I3: 6.. / I1 = 6  =>  1 pairs (_) / I3 = 6  =>  0 pairs (_)
B8,B9: 6.. / B8 = 6  =>  0 pairs (_) / B9 = 6  =>  1 pairs (_)
F7,F8: 8.. / F7 = 8  =>  2 pairs (_) / F8 = 8  =>  2 pairs (_)
B5,B6: 9.. / B5 = 9  =>  2 pairs (_) / B6 = 9  =>  2 pairs (_)
* DURATION: 0:00:06.775645  START: 09:06:41.283300  END: 09:06:48.058945 2020-12-06
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D4,F5: 2.. / D4 = 2  =>  0 pairs (X) / F5 = 2 ==>  0 pairs (*)
* DURATION: 0:00:20.074111  START: 09:06:48.059580  END: 09:07:08.133691 2020-12-06
* REASONING D4,F5: 2..
* DIS # F5: 2 # D2: 4,9 => CTR => D2: 1,2,3
* DIS # F5: 2 + D2: 1,2,3 # D3: 4,9 => CTR => D3: 1,2,3,6
* DIS # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 # E4: 1,9 => CTR => E4: 5,7
* DIS # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 # A7: 3,7 => CTR => A7: 1,2,4,8
* DIS # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 + A7: 1,2,4,8 # B7: 3,7 => CTR => B7: 1,2
* PRF # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 + A7: 1,2,4,8 + B7: 1,2 # H2: 4,9 => SOL
* STA # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 + A7: 1,2,4,8 + B7: 1,2 + H2: 4,9
* CNT   6 HDP CHAINS /  22 HYP OPENED
* DCP COUNT: (1)
* SOLUTION FOUND

Header Info

18921;KZ1C;GP;23;11.30;11.30;10.40

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D4,F5: 2..:

* INC # F5: 2 # D3: 4,6 => UNS
* INC # F5: 2 # D3: 1,2,3,9 => UNS
* INC # F5: 2 # F8: 4,6 => UNS
* INC # F5: 2 # F8: 7,8,9 => UNS
* DIS # F5: 2 # D2: 4,9 => CTR => D2: 1,2,3
* DIS # F5: 2 + D2: 1,2,3 # D3: 4,9 => CTR => D3: 1,2,3,6
* INC # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 # H2: 4,9 => UNS
* INC # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 # H2: 1,5 => UNS
* DIS # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 # E4: 1,9 => CTR => E4: 5,7
* INC # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 # D6: 1,9 => UNS
* INC # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 # E6: 1,9 => UNS
* INC # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 # G4: 1,9 => UNS
* INC # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 # G4: 8 => UNS
* DIS # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 # A7: 3,7 => CTR => A7: 1,2,4,8
* DIS # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 + A7: 1,2,4,8 # B7: 3,7 => CTR => B7: 1,2
* INC # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 + A7: 1,2,4,8 + B7: 1,2 # E3: 1,6 => UNS
* INC # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 + A7: 1,2,4,8 + B7: 1,2 # E3: 9 => UNS
* INC # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 + A7: 1,2,4,8 + B7: 1,2 # B2: 2,3 => UNS
* INC # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 + A7: 1,2,4,8 + B7: 1,2 # C2: 2,3 => UNS
* INC # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 + A7: 1,2,4,8 + B7: 1,2 # I2: 2,3 => UNS
* PRF # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 + A7: 1,2,4,8 + B7: 1,2 # H2: 4,9 => SOL
* STA # F5: 2 + D2: 1,2,3 + D3: 1,2,3,6 + E4: 5,7 + A7: 1,2,4,8 + B7: 1,2 + H2: 4,9
* CNT  21 HDP CHAINS /  22 HYP OPENED