Use one of the five colours (R represent red, Y represent yellow, B represent blue, G represent green and W represent white) to paint each square of an 8×8 chessboard, as shown in the [r]
(1)(2)(3)(4)(5)(6)(7)7 Let A be a by array consisting of the numbers 1, 2, 3, …, Compute the sum of the three numbers on the i-th row of A and the sum of the three numbers on the j-th column of A The number at the intersection of the i-th row and the j-th column of another by array B is equal to the absolute
difference of the two sums of array A For Example,
( ) ( )
12 11 12 13 12 22 32
b = a +a +a − a +a +a
Is it possible to arrange the numbers in array A so that the numbers 1, 2, 3, …, will also appear in array B?
11
a a12 a13 b11 b12 b13
21
a a22 a23 b21 b22 b23
31
a a32 a33 b31 b32 b33
(8)(9)(10)