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Pieces in the box (Posted on 2005-10-26) Difficulty: 2 of 5
In the example below, three rectangular pieces of dimensions 2x1, with the numbers (0,5), (2,3) and (2,3) are put into the 3x3 box so that all the 6 sums (3 rows and 3 columns) are the same (=5).
               +---------------------+
               |       +=====++=====+|
               |       |  2  ||  3  ||
               |+=====+|-----||-----||
               ||  0  ||  3  ||  2  ||  
               ||-----|+=====++=====+|
               ||  5  |              |
               |+=====+              | 
               +---------------------+
I put these six similar pieces - (0,2), (0,6), (1,1), (1,5), (2,4) and (2,4) - with the numbers upwards, in a 4x4 box and showed it to my next door neighbour. He noticed that all 8 sums (4 rows and 4 columns) added up to the same number. How did I do it?
           +=====+=====+ +=====+=====+ +=====+=====+
           |  0  |  2  | |  0  |  6  | |  1  |  1  |
           +=====+=====+ +=====+=====+ +=====+=====+ 
           +=====+=====+ +=====+=====+ +=====+=====+
           |  1  |  5  | |  2  |  4  | |  2  |  4  |
           +=====+=====+ +=====+=====+ +=====+=====+
Note: the "6" shown is still a "6" even when you put that piece upside down.

See The Solution Submitted by pcbouhid    
Rating: 4.3333 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: my solution | Comment 13 of 16 |
(In reply to my solution by Mindrod)

I think, Mindy, that now you get the idea of this site. This is not a competition site, and because of this the "official" solution isnīt posted after someone reach the "solution". The others users may try his own solution, looking or not to the others possible solutions presented, or even question a posted "solution". 
  Posted by pcbouhid on 2005-10-30 10:09:36

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