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 Rust (1.42.0) (judge verdict: Accepted)

use std::collections::HashSet;

use proconio::fastout;
use whiteread::parse_line;

#[fastout]
fn main() {
    let k: usize = parse_line().unwrap();

    let mut a = 0;
    let mut ret = 0;
    let mut appeared: HashSet<usize> = HashSet::new();
    loop {
        a = (10 * a + 7) % k;
        ret += 1;

        if a == 0 {
            println!("{}", ret);
            break;
        }
        if appeared.contains(&a) {
            println!("-1");
            break;
        }
        appeared.insert(a);
    }
}