Nth catalan number
Easy Accuracy: 40.39% Submissions: 26790 Points: 2

Given a number N. The task is to find the nth Catalan number.
The first few Catalan numbers for n = 0, 1, 2, 3, … are 1, 1, 2, 5, 14, 42, 132, 429, 1430, 4862, …

Input:
The first line of input contains a single integer T which denotes the number of test cases. The first line of each test case contains a single integer N.

Output:
For each test case, in a new line print the Catalan number at position N.
Note: Positions start from 0 as shown above.

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

Constraints:
1 <= T <= 100
1 <= N <= 100

Example:
Input:

3
5
4
10

Output:
42
14
16796
Explanation:
From the given first few Catalan's number we can easily the answer for first two test cases.

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