Ones

Time Limit: 1 Second    Memory Limit: 32768 KB

Given any integer 0 <= n <= 10000 not divisible by 2 or 5, some multiple of n is a number which in decimal notation is a sequence of 1's. How many digits are in the smallest such a multiple of n?

Sample Input

3 
7 
9901

Sample Output

3
6
12

Submit

Source: University of Waterloo Local Contest 2001.06.02