Catalan Number

easy
1. You are given a number n.
2. You are required to find the value of nth catalan number.
C0 -> 1
C1 -> 1
C2 -> 2
C3 -> 5
..
Cn -> C0.Cn-1 + C1.Cn-2 + .. + Cn-2.C1 + Cn-1.C0

Input Format

A number n

Output Format

A number representing the value of nth catalan number.

Constraints

0 <= n <= 15

Notice

Try First, Check Solution later

1. You should first read the question and watch the question video.
2. Think of a solution approach, then try and submit the question on editor tab.
3. We strongly advise you to watch the solution video for prescribed approach.

Example

Input
4
Output
14
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