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: 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 20041230 04:44:39 