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 Fill In The Squares (Posted on 2004-12-28)
Place the numbers 1 through 25 in the grid below:
1 2 3 4 5
A | | | | | |
B | | | | | |
C | | | | | |
D | | | | | |
E | | | | | |
1. The sum of each column is odd
2. The sum of each row, except C, is even
3. The sum of row A is not greater than the sum of any other row
4. The sum of the diagonal E1 to A5 is less than that of the diagonal A1 to E5
5. A4 + B4 > C4 + D4 + E4
6. A1 + B1 = D1 + E1
7. A1 > E1
8. A1, A3 and B1 are all prime numbers
9. (A3 + E3) is a prime number
10. A5, D1, D3 and E1 are all squares
11. B2, C2 and D2 are ascending consecutive numbers
12. B3, C3 and D3 are ascending consecutive numbers
13. B5 + D5 = A5 + C5
14. (C1)² + (C5)² = (E3)²
15. C5 is a two digit number
16. D5 is a multiple of E5
17. E1 + E3 = E2 + E4 + E5

 See The Solution Submitted by Nosher Rating: 4.3333 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 re(2): Complete Solution! no computer | Comment 6 of 23 |
(In reply to re: Complete Solution! no computer by Farthing)

Writing the program took some time also, and involved converting those logical deduction methods into program code that the computer could use.
 Posted by Charlie on 2004-12-30 04:44:39

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