Zaytsev C.A.

What is the maximum number of chips that can be placed on the cells of a chessboard so that on each row, column, and diagonal (not only the main ones) there is an even number of chips?

#
Note that on a chessboard, there are 16 diagonals containing an odd number of cells and having no common cells. Therefore, the number of chips cannot be greater than $64-16=48$. A satisfying arrangement of 48 chips is shown in the figure.

![](https://cdn.mathpix.com/cropped/2024_05_06_c84f537274823da4b31eg-27.jpg?height=260&width=266&top_left_y=2328&top_left_x=902)

## Answer

48. 

## Problem