How many squares are on a chessboard? More than 64! or less?

Question

64 numbers (not necessarily distinct) are placed on the squares of a chessboard such that the sum of the numbers in every 2x2 square is 7.

What is the sum of the four numbers in the corners of the board?

Answer 1

64 + 49 + 36 + 25 + 16 + 9 + 4 + 1 = 204 squares which is less than 64!

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1, 8x8 square
4, 7x7 squares
9, 6x6 squares
16, 5x5 squares
25, 4x4 squares
36, 3x3 squares
49, 2x2 squares
64, 1x1 squares