Dyck Path
Medium Accuracy: 41.66% Submissions: 12 Points: 4

Consider a N x N grid with indexes of top left corner as (0, 0). Dyck path is a staircase walk from bottom left, i.e., (N-1, 0) to top right, i.e., (0, N-1) that lies above the diagonal cells (or cells on line from bottom left to top right).

The task is to count the number of Dyck Paths from (N-1, 0) to (0, N-1).

 

Example 1:

Input:
N = 4
Output:
14 
Explanation:
Refer to the diagram above.

Example 2:

Input:
N = 3
Output:
5
Explanation:
Refer to the diagram above.

 

Your Task:
You don't need to read input or print anything. Your task is to complete the function dyckPaths() which takes an Integer N as input and returns the answer.

 

Expected Time Complexity: O(N)
Expected Auxiliary Space: O(1)

 

Constraints:
1 <= N <= 30

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