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Placing 20 pieces (Posted on 2006-01-14) Difficulty: 2 of 5
You have 20 rectangular pieces (2x1) with the letters A and B, as shown:
           +---+---+
           | A | B |
           +---+---+
Your task is to place all of them in the 8x8 board below, where the position of the pieces is already indicated. The numbers at right and below the "(A)" indicates how many As there are in each column and in each row, respectively. Similarly, the numbers at left and above the "(B)", indicates the same for the Bs. The only restriction in placing the pieces is that no two As nor two Bs touch each other.
    (A)   3   4   1   3   1   3   2   3
        +---+---+---+---+---+---+---+---+
     2  |       |   |       |       |   |  2
        +---+---+   +---+---+---+---+   +
     3  |       |   |   |   |   |   |   |  1
        +---+---+---+   +   +   +   +---+
     1  |       |   |   |   |   |   |   |  3
        +---+---+   +---+---+---+---+   +
     3  |   |   |   |   |       |   |   |  3
        +   +   +---+   +---+---+   +---+
     1  |   |   |   |   |   |   |   |   |  2
        +---+---+   +---+   +   +---+   +
     3  |   |   |   |   |   |   |   |   |  2
        +   +   +---+   +---+---+   +---+
     3  |   |   |   |   |       |   |   |  4
        +---+---+   +---+---+---+---+   +
     4  |       |   |       |       |   |  3
        +---+---+---+---+---+---+---+---+
          4   3   1   2   2   3   2   3   (B)

See The Solution Submitted by pcbouhid    
Rating: 2.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips re: a solution Comment 4 of 4 |
(In reply to a solution by goFish)

The only other solution is:

BA---BA-

AB-A-A--

--AB-B-B

BAB-BA-A

AB-----B

BA-A--BA

AB-BABAB

BA-ABABA


  Posted by Eric on 2006-01-15 22:51:21
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