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Antimagic square (Posted on 2011-07-12) Difficulty: 4 of 5
Let us place at random the digits from 1 to 9 into the cells of 3x3 square.
What is the probability of getting a configuration such that the 8 sums (3 rows, 3 columns and 2 main diagonals) will be represented by 8 distinct numbers?
Construct at least one such square.

Extra challenge:
Same two tasks for 4x4 square , numbers 1 to 16 and 10 distinct sums.

No Solution Yet Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: computer solution | Comment 2 of 7 |
(In reply to computer solution by Charlie)

1. You were requested to provide at least one sample of ant. sq.

2. What about the extra challenge ? For an exhaustive search you need about 6*10^7 times the runtime needed for 3*3 square ( more than 16!/9!)
So  maybe we should be satisfied just with evaluating one sample only and not the probability (BTW I DON'T HAVE THE ANSWER)

  Posted by Ady TZIDON on 2011-07-12 18:05:06
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