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Chessboard Problems

Last Updated : 23 Jul, 2025

Chessboard problems are defined as a class of puzzles that involve solving a problem based on a chessboard. These problems typically require participants to place or move chess pieces on the board following specific rules or constraints to achieve a particular objective.

Chessboard problems are often used as a fun and intellectually stimulating way to improve problem-solving skills, logical thinking, and algorithmic understanding.

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Examples of chessboard problems include the Knight's Tour and N-Queens problems, as mentioned earlier. Other types of chessboard problems may involve tasks like finding the shortest path for a chess piece to move from one square to another, determining if a specific square is reachable from another square by a particular chess piece, or even designing algorithms for chess-playing AI agents.

These problems are not only enjoyable challenges in themselves but also serve as a practical way to apply various programming techniques and data structures to solve complex puzzles. As a result, chessboard problems are popular in competitive programming, as they test participants' ability to think critically, devise efficient algorithms, and handle complex board-based scenarios.

Note: Follow the given link to know more about Chessboard and its Rules

Here are some of the popular chessboard problems you should try

  1. Check if the given chessboard is valid or not
  2. Count Knights that can attack a given pawn in an N * N board
  3. Check if a Rook can reach the given destination in a single move
  4. Trap the King by one of the given Set of pieces
  1. Check if any King is unsafe on the Chessboard or not
  2. Check if a king can move a valid move or not when N nights are there in a modified chessboard
  3. Number of cells a queen can move with obstacles on the chessboard
  4. Check if a Queen can attack a given cell on chessboard
  5. Find all the queens attacking king in a chess board
  6. Maximum cells attacked by rook or bishop in given chessboard.
  7. Count of rooks that can attack each other out of K rooks placed on a N*N chessboard
  1. Count of all possible ways to reach a target by a Knight
  2. Number of ways to place 2 Queen in a N x N chessboard
  3. Count the total number of squares that can be visited by Bishop in one move
  4. Total position where king can reach on a chessboard in exactly M moves
  5. Expected number of moves to reach the end of the board
  6. Count ways to place Knights moving in L shape in chessboard
  1. N Queen Problem
  2. 4 Queen Problem
  3. Printing Solution of N Queen Problem
  4. The Knights Tour Problem
  5. Count all possible position that can be reached by Modified Knight
  6. Minimum queens required to cover all the squares of a chess board
  7. Count all possible visited cells of a knight after N moves
  8. 8 Queen Problem
  1. Minimum swaps to build valid chess board
  2. Chessboard Pawn-Pawn game
  3. Find position of non-attacking Rooks in lexicographic order that can be placed on N*N chessboard
  4. Maximum non-attacking Knights that can be placed on an N*M Chessboard
  5. Maximum bishops that can be placed on N*N chessboard
  6. Minimum Cuts can be made in the Chessboard such that it is not divided into 2 parts
  1. Knight Tour for maximum points
  2. Number of blocks in a chessboard a knight can move to in exactly k moves
  3. Minimum steps to reach target by a Knight | Set 2
  1. Minimum steps to reach target by a Knight | Set 2
  2. Ways to place K bishops on an N×N chessboard so that no two attack
  3. Count of distinct Numbers that can be formed by chess knight in N moves on a mobile keypad
  1. N Queen using Branch and Bound
  1. N Queen Problem using hill climb with random neighbour method
  1. Range and Update Query for Chessboard Pieces
  1. Warnsdorff’s algorithm for Knight’s tour problem
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