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 Java (OpenJDK 11.0.6) (judge verdict: Accepted)

import java.util.Arrays;
import java.util.Scanner;

public class Main {

	public static String Y = "Yes";
	public static String N = "No";
	public static long MOD = (long) (Math.pow(10, 9) + 7);
	public static Scanner sc = new Scanner(System.in);

	public static void main(String[] args) {

		long k = nl();
		double d = 0.0;
		int ans = 0;
		for (int i = 1; i < 1000001; i++) {
			d *= 10;
			d += 7;
			d %= k;
			if (d == 0) {
				ans = i;
				break;
			}
		}
		if (ans == 0) {
			ans = -1;
		}

		out(ans);

	}

	/*
	 * 以下メソッド集
	 */
	static char[][] same(char[][] c, int h, int w) {

		char[][] a = new char[h][w];
		for (int i = 0; i < h; i++) {
			for (int j = 0; j < w; j++) {
				a[i][j] = c[i][j];
			}
		}
		return a;

	}

	static int countkuro(char[][] c) {

		int count = 0;
		for (char[] cc : c) {
			for (char ccc : cc) {
				if ('#' == ccc) {
					count++;
				}
			}
		}
		return count;
	}

	static double[] sort(double[] r) {

		Arrays.sort(r);
		return r;
	}

	static void debug() {

		out("---");
	}

	static void debug(long a) {

		out("-------");
		out(a);
		out("-------");
	}

	static void debug(double a) {

		out("-------");
		out(a);
		out("-------");
	}

	static void debug(String a) {

		out("-------");
		out(a);
		out("-------");
	}

	static long[] sort(long[] n) {

		Arrays.sort(n);
		return n;
	}

	static int ketasuu(int n) {

		String str = "" + n;
		return str.length();
	}

	static int account(String str) {

		String target = "AC";
		int count = 0;
		int len = str.length();
		for (int i = 0; i < len - 1; i++) {
			if (target.equals(str.substring(i, i + target.length()))) {
				count++;
			}
		}
		return count;
	}

	static int ni() {

		return sc.nextInt();
	}

	static long nl() {

		return sc.nextLong();
	}

	static double nd() {

		return sc.nextDouble();
	}

	static String n() {

		return sc.next();
	}

	static char[] nc() {

		return sc.next().toCharArray();
	}

	static int kaijo(int n) {

		if (n == 0 || n == 1) {
			return 1;
		} else {
			return n * kaijo(n - 1);
		}
	}

	static int fib(int n) {

		return (n == 1 || n == 0) ? n : fib(n - 2) + fib(n - 1);
	}

	static long lcm(long m, long n) {

		return m * n / gcd(m, n);
	}

	static int lcm(int m, int n) {

		return m * n / gcd(m, n);
	}

	static long gcd(long a, long b) {

		return (b == 0) ? a : gcd(b, a % b);
	}

	static int gcd(int a, int b) {

		return (b == 0) ? a : gcd(b, a % b);
	}

	static void out(String info) {

		System.out.println(info);
	}

	static void out(int info) {

		System.out.println(info);
	}

	static void out(double info) {

		System.out.println(info);
	}

	static void out(long info) {

		System.out.println(info);
	}

	static void out(char info) {

		System.out.println(info);
	}

	static void out(Object obj) {

		System.out.println(obj.toString());
	}

	static void outn(String info) {

		System.out.print(info);
	}

	static void outn(int info) {

		System.out.print(info);
	}

	static void outn(double info) {

		System.out.print(info);
	}

	static void outn(long info) {

		System.out.print(info);
	}

	static void outn(char info) {

		System.out.print(info);
	}

	static double max(double d, double e) {

		return Math.max(d, e);
	}

	static long max(long a, long b) {

		return Math.max(a, b);
	}

	static long min(long d, long e) {

		return Math.min(d, e);
	}

	static int min(int a, int b) {

		return Math.min(a, b);
	}
}

class XY {

	int h;
	int c;

	XY(int h, int c) {
		this.h = h;
		this.c = c;
	}
}