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Problem 1147 Tiling

Accept: 465    Submit: 1183
Time Limit: 1000 mSec    Memory Limit : 32768 KB

Problem Description

In how many ways can you tile a 2xn rectangle by 2x1 or 2x2 tiles?

Here is a sample tiling of a 2x17 rectangle.


Input

Input is a sequence of lines, each line containing an integer number 0 <= n <= 250.

Output

For each line of input, output one integer number in a separate line giving the number of possible tilings of a 2xn rectangle.

Sample Input

2 8 12

Sample Output

3 171 2731

Source

Albert 2001

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