Analysis of xx-ph-00635330-12_12-base.sdk

Contents

Original Sudoku

level: deep

Original Sudoku

position: ..1.5.7..4....9....8.2.....2......4..9.8.......3.6.5.....5.16......7..13..6.....7 initial

Autosolve

position: ..1.5.7..4....9....8.2.....2......4..9.8.......3.6.5.....5.16......7..13..6....57 autosolve
Autosolve

Pair Reduction Variants

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Deep Constraint Pair Analysis

Time used: 0:00:00.000007

List of important HDP chains detected for H5,H6: 7..:

* DIS # H6: 7 # F5: 2,4 => CTR => F5: 3,5,7
* CNT   1 HDP CHAINS /  32 HYP OPENED

List of important HDP chains detected for C5,B6: 4..:

* DIS # B6: 4 # C4: 5,7 => CTR => C4: 8
* DIS # B6: 4 + C4: 8 # A5: 5,7 => CTR => A5: 1,6
* DIS # B6: 4 + C4: 8 + A5: 1,6 # F5: 5,7 => CTR => F5: 2,3,4
* PRF # B6: 4 + C4: 8 + A5: 1,6 + F5: 2,3,4 # B2: 2,7 => SOL
* STA # B6: 4 + C4: 8 + A5: 1,6 + F5: 2,3,4 + B2: 2,7
* CNT   4 HDP CHAINS /  10 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

..1.5.7..4....9....8.2.....2......4..9.8.......3.6.5.....5.16......7..13..6.....7 initial
..1.5.7..4....9....8.2.....2......4..9.8.......3.6.5.....5.16......7..13..6....57 autosolve

Classification

level: deep

Pairing Analysis

--------------------------------------------------
* CONSTRAINT PAIRS (AUTO SOLVE)
A9,B9: 1.. / A9 = 1  =>  1 pairs (_) / B9 = 1  =>  1 pairs (_)
C5,B6: 4.. / C5 = 4  =>  1 pairs (_) / B6 = 4  =>  3 pairs (_)
I2,I3: 5.. / I2 = 5  =>  1 pairs (_) / I3 = 5  =>  1 pairs (_)
F4,F5: 5.. / F4 = 5  =>  1 pairs (_) / F5 = 5  =>  2 pairs (_)
B4,A5: 6.. / B4 = 6  =>  1 pairs (_) / A5 = 6  =>  2 pairs (_)
D8,F8: 6.. / D8 = 6  =>  1 pairs (_) / F8 = 6  =>  1 pairs (_)
B4,I4: 6.. / B4 = 6  =>  1 pairs (_) / I4 = 6  =>  2 pairs (_)
D2,F3: 7.. / D2 = 7  =>  2 pairs (_) / F3 = 7  =>  3 pairs (_)
H5,H6: 7.. / H5 = 7  =>  1 pairs (_) / H6 = 7  =>  3 pairs (_)
F1,E2: 8.. / F1 = 8  =>  1 pairs (_) / E2 = 8  =>  0 pairs (_)
C4,A6: 8.. / C4 = 8  =>  1 pairs (_) / A6 = 8  =>  2 pairs (_)
* DURATION: 0:00:06.470664  START: 08:01:30.279587  END: 08:01:36.750251 2020-09-22
* CP COUNT: (11)
* INCONCLUSIVE

--------------------------------------------------
* DEEP CONSTRAINT PAIRS (PAIR REDUCTION)
D2,F3: 7.. / D2 = 7 ==>  2 pairs (_) / F3 = 7 ==>  3 pairs (_)
H5,H6: 7.. / H5 = 7 ==>  1 pairs (_) / H6 = 7 ==>  3 pairs (_)
C5,B6: 4.. / C5 = 4  =>  0 pairs (X) / B6 = 4 ==>  0 pairs (*)
* DURATION: 0:00:35.401604  START: 08:01:36.750901  END: 08:02:12.152505 2020-09-22
* REASONING H5,H6: 7..
* DIS # H6: 7 # F5: 2,4 => CTR => F5: 3,5,7
* CNT   1 HDP CHAINS /  32 HYP OPENED
* REASONING C5,B6: 4..
* DIS # B6: 4 # C4: 5,7 => CTR => C4: 8
* DIS # B6: 4 + C4: 8 # A5: 5,7 => CTR => A5: 1,6
* DIS # B6: 4 + C4: 8 + A5: 1,6 # F5: 5,7 => CTR => F5: 2,3,4
* PRF # B6: 4 + C4: 8 + A5: 1,6 + F5: 2,3,4 # B2: 2,7 => SOL
* STA # B6: 4 + C4: 8 + A5: 1,6 + F5: 2,3,4 + B2: 2,7
* CNT   4 HDP CHAINS /  10 HYP OPENED
* DCP COUNT: (3)
* SOLUTION FOUND

Header Info

635330;12_12;col;22;11.70;1.20;1.20

Appendix: Full HDP Chains

A1. Deep Constraint Pair Analysis

Full list of HDP chains traversed for D2,F3: 7..:

* INC # F3: 7 # A3: 5,9 => UNS
* INC # F3: 7 # A3: 3,6 => UNS
* INC # F3: 7 # I3: 5,9 => UNS
* INC # F3: 7 # I3: 1,4,6 => UNS
* INC # F3: 7 # C8: 5,9 => UNS
* INC # F3: 7 # C8: 2,4,8 => UNS
* INC # F3: 7 # F5: 3,5 => UNS
* INC # F3: 7 # F5: 2,4 => UNS
* INC # F3: 7 # E5: 2,4 => UNS
* INC # F3: 7 # F5: 2,4 => UNS
* INC # F3: 7 # F8: 2,4 => UNS
* INC # F3: 7 # F9: 2,4 => UNS
* INC # F3: 7 => UNS
* INC # D2: 7 # B2: 2,5 => UNS
* INC # D2: 7 # B2: 3,6 => UNS
* INC # D2: 7 # I2: 2,5 => UNS
* INC # D2: 7 # I2: 1,6,8 => UNS
* INC # D2: 7 # C8: 2,5 => UNS
* INC # D2: 7 # C8: 4,8,9 => UNS
* INC # D2: 7 # D4: 3,9 => UNS
* INC # D2: 7 # D4: 1 => UNS
* INC # D2: 7 # G4: 3,9 => UNS
* INC # D2: 7 # G4: 1,8 => UNS
* INC # D2: 7 # E7: 3,9 => UNS
* INC # D2: 7 # E9: 3,9 => UNS
* INC # D2: 7 => UNS
* CNT  26 HDP CHAINS /  26 HYP OPENED

Full list of HDP chains traversed for H5,H6: 7..:

* INC # H6: 7 # I6: 1,8 => UNS
* INC # H6: 7 # I6: 2,9 => UNS
* INC # H6: 7 # A9: 1,8 => UNS
* INC # H6: 7 # A9: 3,9 => UNS
* INC # H6: 7 # D6: 1,4 => UNS
* INC # H6: 7 # D6: 9 => UNS
* INC # H6: 7 # B9: 1,4 => UNS
* INC # H6: 7 # B9: 2,3 => UNS
* INC # H6: 7 # E5: 2,4 => UNS
* DIS # H6: 7 # F5: 2,4 => CTR => F5: 3,5,7
* INC # H6: 7 + F5: 3,5,7 # E5: 2,4 => UNS
* INC # H6: 7 + F5: 3,5,7 # E5: 1,3 => UNS
* INC # H6: 7 + F5: 3,5,7 # F8: 2,4 => UNS
* INC # H6: 7 + F5: 3,5,7 # F9: 2,4 => UNS
* INC # H6: 7 + F5: 3,5,7 # I6: 1,8 => UNS
* INC # H6: 7 + F5: 3,5,7 # I6: 2,9 => UNS
* INC # H6: 7 + F5: 3,5,7 # A9: 1,8 => UNS
* INC # H6: 7 + F5: 3,5,7 # A9: 3,9 => UNS
* INC # H6: 7 + F5: 3,5,7 # D6: 1,4 => UNS
* INC # H6: 7 + F5: 3,5,7 # D6: 9 => UNS
* INC # H6: 7 + F5: 3,5,7 # B9: 1,4 => UNS
* INC # H6: 7 + F5: 3,5,7 # B9: 2,3 => UNS
* INC # H6: 7 + F5: 3,5,7 # E5: 2,4 => UNS
* INC # H6: 7 + F5: 3,5,7 # E5: 1,3 => UNS
* INC # H6: 7 + F5: 3,5,7 # F8: 2,4 => UNS
* INC # H6: 7 + F5: 3,5,7 # F9: 2,4 => UNS
* INC # H6: 7 + F5: 3,5,7 => UNS
* INC # H5: 7 # F5: 4,5 => UNS
* INC # H5: 7 # F5: 2,3 => UNS
* INC # H5: 7 # C8: 4,5 => UNS
* INC # H5: 7 # C8: 2,8,9 => UNS
* INC # H5: 7 => UNS
* CNT  32 HDP CHAINS /  32 HYP OPENED

Full list of HDP chains traversed for C5,B6: 4..:

* INC # B6: 4 # B4: 5,7 => UNS
* DIS # B6: 4 # C4: 5,7 => CTR => C4: 8
* DIS # B6: 4 + C4: 8 # A5: 5,7 => CTR => A5: 1,6
* INC # B6: 4 + C4: 8 + A5: 1,6 # B4: 5,7 => UNS
* INC # B6: 4 + C4: 8 + A5: 1,6 # B4: 1,6 => UNS
* DIS # B6: 4 + C4: 8 + A5: 1,6 # F5: 5,7 => CTR => F5: 2,3,4
* INC # B6: 4 + C4: 8 + A5: 1,6 + F5: 2,3,4 # B2: 2,5 => UNS
* INC # B6: 4 + C4: 8 + A5: 1,6 + F5: 2,3,4 # B2: 3,6,7 => UNS
* PRF # B6: 4 + C4: 8 + A5: 1,6 + F5: 2,3,4 # B2: 2,7 => SOL
* STA # B6: 4 + C4: 8 + A5: 1,6 + F5: 2,3,4 + B2: 2,7
* CNT   9 HDP CHAINS /  10 HYP OPENED