Consider a positive integer X,and let S be the sum of all positive integer
divisors of 2004^X . Your job is to determine S modulo 29 (the rest of the
division of S by 29). Take X = 1 for an example. The positive integer
divisors of 2004^1 are 1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002 and 2004.
Therefore S = 4704 and S modulo 29 is equal to 6. 

Input

The input consists of several test cases. Each test case contains a line 
with the integer X (1 <= X <= 10000000). A test case of X = 0 indicates 
the end of input, and should not be processed. 

Sample Input
1 
10000 
0

Output

For each test case, in a separate line, please output the result of S modulo 29. 

Sample Input
6 
10