Question

Шахматный конь после каждого хода меняет цвет поля,на котором стоит.Какое минимальное число цветов нужно для раскраски шахматной доски,если мы хотим,чтобы ферзь,после каждого своего хода менял цвет поля,на котором стоит?

Answer 1

Конечно это 28 , знает тот кто играл в шахматы

Answer 2

Minimum Number of Colors for Chessboard Coloring

To determine the minimum number of colors needed to color a chessboard such that the queen changes color after each move, we can analyze the movement pattern of the queen.

The queen can move horizontally, vertically, and diagonally. Each move changes the position on the chessboard, and we want the queen to change color after each move.

A chessboard consists of 64 squares, and each square can be colored either black or white. To ensure that the queen changes color after each move, we need to consider the maximum number of moves the queen can make.

The maximum number of moves a queen can make is 7, as it can move to any square on the chessboard in a maximum of 7 moves. Therefore, we need to ensure that the queen can change color after each of these 7 moves.

To achieve this, we can divide the chessboard into two sets of squares: one set with a black color and the other set with a white color. By alternating the colors of the squares, we can ensure that the queen changes color after each move.

Since the chessboard has 64 squares, we can divide them into two sets of 32 squares each. One set will have black squares, and the other set will have white squares. This way, the queen will always change color after each move.

Therefore, the minimum number of colors needed to color the chessboard such that the queen changes color after each move is 2.