1923 Tri Tiling

Time Limit : 2000/1000 MS(Java/Others) | Memory Limit : 131072/65536 KB(Java/Others)

Submits : 9 | Solved : 2

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

2
8
12
-1

Sample Output

3
153
2131

HINT


Source


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