Problem G

Tiling

Input: standard input

Output: standard output

Time Limit: 2 seconds

Memory Limit: 32 MB

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 and Output

Input is a sequence of lines, each line containing an integer number 0 <= n <= 250. 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
100

200

Sample Output

3
171
2731
845100400152152934331135470251
1071292029505993517027974728227441735014801995855195223534251

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University of Alberta Local Contest