import java.util.Scanner;

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

      int min_m = 1000;
      int n = sc.nextInt();
      int x = sc.nextInt();

      int ans = n;

      for(int i = 0; i < n ; i++) {
        int tmp = sc.nextInt();

        x -= tmp;

        min_m = Math.min(tmp,min_m);
      }

      //System.out.println(min_m);

      for(; x - min_m >= 0;) {
        ans++;
        x -= min_m;
        //System.out.println(x);
      }

      System.out.println(ans);
  }
}
/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