import java.util.Arrays;
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[] m = new int[N];
	      for(int i = 0; i < N; i++) {
	    	  	m[i] = sc.nextInt();
	      }
	      sc.close();
	      
	      int count = 0;
	      
	      for(int i = 0; i < N; i++) {
	    	  	X -= m[i];
	    	  	count++;
	      }
	      
	      Arrays.sort(m);
	      count += X / m[0];
	      
	      System.out.println(count);
	      System.exit(0);
	    }

}
/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