import java.util.Scanner;
public class Main {
	public static void main(String[] args) {
		Scanner sc=new Scanner(System.in);
		int N=sc.nextInt();
		int X=sc.nextInt();
		int a[]=new int [N];
		int b=N;
		int c=1000;
		for(int i=0;i<N;i++) {
			a[i]=sc.nextInt();
			X=X-a[i];
			if(a[i]<c) {
				c=a[i];
			}
		}
		b=b+X/c;
		System.out.println(b);
	}
}
/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