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[] gram = new int[n];
		int min = 1000;
		
		for(int i = 0; i < n; i ++) {
			gram[i] = sc.nextInt();
			x -= gram[i];
			if(min > gram[i]) {
				min = gram[i];
				
			}
		}
		
		int j = x / min;
		System.out.println(n + j);
		
	}
}

/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