### 130. Circle

time limit per test: 0.25 sec.
memory limit per test: 4096 KB

On a circle border there are 2k different points A1, A2, ..., A2k, located contiguously. These points connect k chords so that each of points A1, A2, ..., A2k is the end point of one chord. Chords divide the circle into parts. You have to find N - the number of different ways to connect the points so that the circle is broken into minimal possible amount of parts P.

Input

The first line contains the integer k (1 <= k <= 30).

Output

The first line should contain two numbers N and P delimited by space.

Sample Input

2


Sample Output

2 3


 Author : Natalia L. Andreeva, Alex Y. Suslov, Alexander S. Ivanov Resource : 5th Southern Subregional Contest. Saratov 2002 Date : 2002-10-10