Throwing the kitchen sink at MM-14

Advanced methods and approaches for solving Sudoku puzzles

Another Solution

Postby Carcul » Tue Jul 11, 2006 12:29 pm

Here is another solution for this puzzle.

Code: Select all
 *---------------------------------------------------------------------*
 | 356     4       1356  | 689     1569    1689 | 578     2       567  |
 | 9       578     567   | 2468    2456    68   | 1       4568    3    |
 | 56      18      2     | 3       14      7    | 9       48      56   |
 |-----------------------+----------------------+----------------------|
 | 23567   23579   3567  | 1       23689   4    | 23578   3568    2567 |
 | 8       123579  13567 | 269     2369    369  | 2357    1356    4    |
 | 2346    123     1346  | 7       2368    5    | 238     9       126  |
 |-----------------------+----------------------+----------------------|
 | 347     37      8     | 5       13479   2    | 6       13      19   |
 | 1       2357    9     | 46      3467    36   | 2345    35      8    |
 | 2345    6       345   | 489     1349    1389 | 2345    7       1259 |
 *---------------------------------------------------------------------*

1. [r9c6]=1=[r1c6]-1-[r1c3]=1=[r3c2]=8=[r2c2]-8-[r2c6](-6-[r8c6]-3-
[r9c6])=(ALS: r258c6)=8|9=[r5c6]-9-[r9c6], => r9c6<>3,9.

2. [r69c1]-4-[r7c1](=(ALS: r7c128)=4|1=[r7c8]-1-[r5c8]=1=[r6c9]-1-
[r6c2])=4=[r7c5]-4-[r3c5]=4=[r3c8]=8=[r3c2]=1= [r1c3]=3=[r1c1]-3-
[r7c1]-7-[r7c2]-3-[r6c2]-2-[r8c2]=2=[r8c7]=4=[r9c7](-4-[r9c1])-4-[r9c3]
=4=[r6c3]-4-[r6c1], => r6c1/r9c1<>4.

3. [r8c2]=2=[r9c1]=5=[r13c1]-5-[r2c2]-8-[r2c6]-6-[r8c6](-3-[r8c2])-3-
[r8c8]-5-[r8c2], => r8c2<>3,5.

4. [r3c1]=5=[r3c9]=6=[r2c8]-6-[r2c6]-8-[r2c2]-5-[r3c1], => r2c4/r2c5<>6; r2c4/r2c8<>8; r1c1/r1c3<>5.

5. [r8c5]=7=[r7c5]-7-[r7c2]-3-[r7c8]=(ALS: r7c89|r9c9)=3|2=[r9c9]-2-
[r9c1]=2=[r8c2]=7=[r8c5], => r8c5=7.

6. [r4c5]-9-[r5c6]=9|8=[r2c6]-8-[r1c4]=8=[r9c4]=9=[r79c5]-9-[r4c5], => r4c5<>9.

7. [r2c6]=8=[r2c2]=5=[r5c2]=3=[r6c2]=1=[r6c9]-1-[r5c8]=1=[r7c8]=3=
[r7c5]-3-[r8c6]-6-[r2c6], => r2c6<>6 and the puzzle is solved.

Carcul
Carcul
 
Posts: 724
Joined: 04 November 2005

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