import java.util.ArrayList;
import java.util.Collections;
import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);

		int x = 0;
		ArrayList<Integer> list = new ArrayList<>();

		int N = sc.nextInt();
		int X = sc.nextInt();
		//int X = Integer.parseInt(sc.nextLine());
		for (int index = 1; index <= N; index++) {
			//int m = Integer.parseInt(sc.nextLine());
			int m = sc.nextInt();
			list.add(m);
			X = X - m;
		}
		if (X == 0) {
			System.out.println(N);
			return;
		}
		Collections.sort(list);
		int y = X / (list.get(0));
		System.out.println(N + y);
	}
}
/tmp/hf-datasets-cache/medium/datasets/42704881117311-config-parquet-and-info-qiankunmu-Project_CodeNet-896c9d36/hub/datasets--qiankunmu--Project_CodeNet_Python800_and_Java250/snapshots/c899fde44a77ba1cc14973ed3de064e4ff3aadc7/Project_CodeNet_Java250.tar.gz