#2474 Tri tiling

1 s   64 MB  

Description

In how many ways can you tile a 3xn rectangle with 2x1 dominoes? Here is a sample tiling of a 3x12 rectangle.

Input

Input consists of several test cases followed by a line containing -1. Each test case is a line containing an integer 0 <= n <= 30.

Output

For each test case, output one integer number giving the number of possible tilings.

Sample Input

Sample Output

2
8
12
-1
3
153
2131

Source

Waterloo local 2005.09.24