Question

Given a chess board of n rows and n columns in each move a knight moves either. both the knight and bishop capture any piece that is on a position it moves to

Answer 1

The maximum number of moves a knight and a bishop can make to capture all pieces on an n times n) chessboard is (
`n^2`- 1) moves.

Explanation

In a chessboard scenario where a knight and a bishop aim to capture all pieces, their combined movement capabilities yield a maximum of (
`n^2` - 1) moves for an (n times n\) board. This maximum count is achieved by employing an optimized strategy.

The knight's unique L-shaped movement restricts it to capturing pieces from various positions across the board. By carefully navigating the knight to cover every cell, it touches (
`n^2` - 1) squares in a sequence that avoids revisiting any space.

The bishop's diagonal movement complements the knight's actions. It captures pieces along diagonals inaccessible to the knight. Combining these movements ensures comprehensive coverage of the entire board, maximizing the capture count while adhering to the rules of chess.

This strategy exhausts the potential moves of both the knight and the bishop, culminating in the capture of all pieces except one. The single leftover piece is safeguarded in a corner inaccessible to the bishop's diagonal or the knight's L-shaped moves.

Answer 2

In a chess game with an n x n board, the knight and bishop capture any piece on the positions they move to in each move.

Step-by-step explanation:

In chess, the knight and bishop are distinct pieces with unique movement patterns. The knight moves in an L-shape, either two squares vertically and one horizontally or two squares horizontally and one vertically. It can "jump" over other pieces on the board. The bishop, on the other hand, moves diagonally across the board.

Both the knight and bishop capture any opponent's piece that occupies the position they move to during their respective moves. This means that if an opponent's piece is in the destination square of a knight or bishop move, that piece is captured, and the opponent loses it from the board.

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Complete Question

Given a chess board of n rows and n columns in each move a knight moves either. both the knight and bishop capture any piece that is on a position it moves to ___________ .

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