MCIRGAME - Point Connection Game in a Circle


This is a small but ancient game. You are supposed to write down the numbers 1, 2, 3, . . . , 2n − 1, 2n consecutively in clockwise order on the ground to form a circle, and then, to draw some straight line segments to connect them into number pairs. Every number must be connected to exactly one another. And, no two segments are allowed to intersect. It’s still a simple game, isn’t it? But after you’ve written down the 2n numbers, can you tell me in how many different ways can you connect the numbers into pairs? Life is harder, right!

Input

Each line of the input file will be a single positive number n, except the last line, which is a number −1. You may assume that 1 ≤ n ≤ 150.

Output

For each n, print in a single line the number of ways to connect the 2n numbers into pairs.

Sample

Input
2
-1

Output
2
Note : Big num!


Added by:psetter
Date:2009-02-23
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS PERL6 VB.NET
Resource:Pre Shanghai 2004