Given integers i, j, k and n where (i, j) is the initial position of the Knight on a n * n chessboard, the task is to find the number of positions the Knight can move to in exactly k moves.
Input: i = 5, j = 5, k = 1, n = 10
Input: i = 0, j = 0, k = 2, n = 10
The knight can see total 10 different positions in 2nd move.
Approach: Use a recursive approach to solve the problem.
First find all the possible positions where the knight can move to so if the initial position is i, j. Get to all valid locations in single move and recursively find all the possible positions where knight can move to in k – 1 steps from there. The base case of this recursion is when k == 0 (no move to make) then we will mark the position of the chessboard as visited if it is unmarked and increase the count. Finally, display the count .
Below is the implementation of the above approach:
- Check if a king can move a valid move or not when N nights are there in a modified chessboard
- Probability of Knight to remain in the chessboard
- Possible moves of knight
- Total position where king can reach on a chessboard in exactly M moves
- Total position where king can reach on a chessboard in exactly M moves | Set 2
- Minimum number of given moves required to make N divisible by 25
- Number of cells a queen can move with obstacles on the chessborad
- Count the total number of squares that can be visited by Bishop in one move
- Minimum number of moves required to reach the destination by the king in a chess board
- Find the minimum number of preprocess moves required to make two strings equal
- The Knight's tour problem | Backtracking-1
- Minimum steps to reach target by a Knight | Set 2
- Count all possible position that can be reached by Modified Knight
- Warnsdorff's algorithm for Knight’s tour problem
- Minimum steps to reach target by a Knight | Set 1
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