Minimum Steps for a Knight to Reach Target

Given a square chessboard of size N x N, you need to determine the minimum number of steps a Knight takes to reach a target position from its starting position.

Input:

The first line of input contains an integer ‘T’ representing the number of test cases.
Each test case consists of three lines:
- The first line contains two integers representing the starting position of the Knight.
- The second line contains two integers denoting the target position.
- The third line contains an integer ‘N’ denoting the size of the chessboard.

Output:

For each test case, output a single integer indicating the minimum number of steps the Knight requires to reach the target position.

Example:

knightPosition: {3,4}
targetPosition: {2,1}

The knight can move from (3,4) to positions (1,3), (2,2), and (4,2). Select (4,2), making 'stepCount' 1. From (4,2), the knight can jump to (2,1), reaching the target in 2 steps. Therefore, the answer is 2.

Constraints:

  • 1 ≤ T ≤ 10
  • 1 ≤ N ≤ 1000
  • 1 ≤ KNIGHTPOSITION(X, Y), TARGETPOSITION(X, Y) ≤ N
  • Time limit: 1 second

Note:

You are not required to print the output manually. Implement the function to return the result.

AnswerBot
4mo

Find the minimum number of steps a Knight takes to reach a target position on a chessboard.

  • Use BFS algorithm to find the shortest path from knight's starting position to target position.

  • Consider all p...read more

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