Place the numbers 1 through 25 in the grid below:
1 2 3 4 5
A | | | | | |
B | | | | | |
C | | | | | |
D | | | | | |
E | | | | | |
- The sum of each column is odd
- The sum of each row, except C, is even
- The sum of row A is not greater than the sum of any other row
- The sum of the diagonal E1 to A5 is less than that of the diagonal A1 to E5
- A4 + B4 > C4 + D4 + E4
- A1 + B1 = D1 + E1
- A1 > E1
- A1, A3 and B1 are all prime numbers
- (A3 + E3) is a prime number
- A5, D1, D3 and E1 are all squares
- B2, C2 and D2 are ascending consecutive numbers
- B3, C3 and D3 are ascending consecutive numbers
- B5 + D5 = A5 + C5
- (C1)² + (C5)² = (E3)²
- C5 is a two digit number
- D5 is a multiple of E5
- E1 + E3 = E2 + E4 + E5
(In reply to
re(2): Complete Solution! no computer by Penny)
Penny (& Charlie). I didn't mean to suggest that writing a program to solve a puzzle is easy (or cheating). My sincere apologies if I have given that impression. I really just wanted to congratulate Nikki on solving the problem without the assistance of a computer. I said in my first comment that I don't write programs. I wasn't telling the complete truth. Actually, I've been a programmer for 31 years (next Tuesday) and I often use a program to solve puzzles. Further, I often check out your posted programs to see if I would have used a similar approach.
End of solioquy...solilili...damn it, you know what I mean.
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Posted by Farthing
on 2004-12-30 21:15:55 |
re(3): Complete Solution! no computer
