For a positive integer n, let f(n) denote the sum of the digits of n when represented in base 10.
It is easy to see that the sequence of numbers n,f(n),f(f(n)),f(f(f(n))),… eventually becomes a single digit number that repeats forever. Let this single digit be denoted g(n).
For example, consider n = 1234567892.
Then: f(n) = 1+2+3+4+5+6+7+8+9+2 = 47 f(f(n)) = 4 + 7 = 11 f(f(f(n))) = 1 + 1 = 2 Therefore, g(1234567892) = 2.
Input
Each line of input contains a single positive integer n at most 2,000,000,000.
Input is terminated by n = 0 which should not be processed.
Output
For each such integer, you are to output a single line containing g(n).
Sample Input
2 11 47 1234567892 0
Sample Output
2 2 2 2
int main() { |