Problem:
Score : 300 points

Problem Statement

Takahashi loves the number 7 and multiples of K.

Where is the first occurrence of a multiple of K in the sequence 7,77,777,\ldots? (Also see Output and Sample Input/Output below.)

If the sequence contains no multiples of K, print -1 instead.

Constraints

1 \leq K \leq 10^6

K is an integer.

Input

Input is given from Standard Input in the following format:

K

Output

Print an integer representing the position of the first occurrence of a multiple of K. (For example, if the first occurrence is the fourth element of the sequence, print 4.)

Sample Input 1

101

Sample Output 1

4

None of 7, 77, and 777 is a multiple of 101, but 7777 is.

Sample Input 2

2

Sample Output 2

-1

All elements in the sequence are odd numbers; there are no multiples of 2.

Sample Input 3

999983

Sample Output 3

999982

Solution in C (GCC 9.2.1) (judge verdict: Accepted)

#include <stdio.h>

int main(){

    long long  m;
    long long k,n;
    m=0;
    n=0;
    scanf("%lld",&k);
    if(k%2==0||k%5==0){
        n=-1;
        printf("%lld",n);
        return 0;
    }
    else
    {
    while(1){
        m=(m*10+7)%k;
        n+=1;
        if(m %k  ==0){

            printf("%lld",n);
            return 0;
        }
    }
    }
    /*return EXIT_SUCCESS;*/
    return 0;
}