Medium Accuracy: 66.78%
Submissions: 4780 Points: 4
Given an NxN chessboard and a Knight at position (x, y). The Knight has to take exactly K steps, where at each step it chooses any of the 8 directions uniformly at random. Find the probability that the Knight remains in the chessboard after taking K steps, with the condition that it cant enter the board again once it leaves it.
Example 1:
Input : N = 8, x = 0, y = 0, K = 3
Output: 0.125000
Example 2:
Input: N = 4, x = 1, y = 2, k = 4
Output: 0.024414
Your Task:
You don't need to read or print anything. Your task is to complete the function findProb() which takes N, x, y and K as input parameter and returns the probability.
Expected Time Complexity : O(N 3) Expected Space Complexity: O(N3)
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Avoid using static/global variables in coding problems as your code is tested
against multiple test cases and these tend to retain their previous values.
Passing the Sample/Custom Test cases in coding problems does not guarantee the
correctness of code. On submission, your code is tested against multiple test cases
consisting of all possible corner cases and stress constraints.
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