#include <bits/stdc++.h>
using namespace std;

int main()
{
    int x, num = 1, len = 1;
    cin >> x;
    bool f = false;
    while (num % x)
    {
        if (num / x || f) // 可能会出现1111000..111中间有0的情况，也得输出，当输出非前导零后，f置为true
            cout << num / x, f = true;
        num %= x;
        num = num * 10 + 1, len++;
    }
    cout << num / x << ' ' << len;
    return 0;
}

或

#include <bits/stdc++.h>
using namespace std;

int main()
{
    int x, num = 1, len = 1;
    cin >> x;
    while (num < x)
    {
        num = num * 10 + 1;
        len++;
    }

    while (num % x)
    {
        cout << num / x;
        num %= x;
        num = num * 10 + 1, len++;
    }
    cout << num / x << ' ' << len;
    return 0;
}