import java.util.*;
public class Main{
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);
    int n = Integer.parseInt(sc.next());
    int x = Integer.parseInt(sc.next());
    int[] m = new int[n];
    int num = 0;
    int mMin = 10000;
    for (int i = 0; i < n; i++){
      m[i] = Integer.parseInt(sc.next());
      x -= m[i];
      num++;
      if(mMin > m[i]){
        mMin = m[i];
      }
    }
    while(x >= mMin){
      num++;
      x -= mMin;
    }
    System.out.println(num);
  }
}
/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