All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > General
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)

  Submitted by pcbouhid    
Rating: 2.0000 (1 votes)
Solution: (Hide)
.
    (A)   3   4   1   3   1   3   2   3
        +---+---+---+---+---+---+---+---+
     2  | A   B |   |       | B   A |   |  2
        +---+---+   +---+---+---+---+   +
     3  | B   A |   | A |   | A |   |   |  1
        +---+---+---+   +   +   +   +---+
     1  |       | A | B |   | B |   | B |  3
        +---+---+   +---+---+---+---+   +
     3  | B | A | B |   | B   A |   | A |  3
        +   +   +---+   +---+---+   +---+
     1  | A | B |   |   |   |   |   | B |  2
        +---+---+   +---+   +   +---+   +
     3  | B | A |   | A |   |   | B | A |  2
        +   +   +---+   +---+---+   +---+
     3  | A | B |   | B | A   B | A | B |  4
        +---+---+   +---+---+---+---+   +
     4  | B   A |   | A   B | A   B | A |  3
        +---+---+---+---+---+---+---+---+
          4   3   1   2   2   3   2   3   (B)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Hints/Tipsre: a solutionEric2006-01-15 22:51:21
re: Touching questionpcbouhid2006-01-14 22:34:21
Solutiona solutiongoFish2006-01-14 17:05:37
QuestionTouching questionTammy2006-01-14 17:02:26
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (1)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information