import java.util.Scanner;
class Main{
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);
    int N = sc.nextInt(); //N種類のドーナツがある
    int X = sc.nextInt(); //Xgの粉を持っている
    int[] m = new int[N];
    int amount = 0;
    
    for(int i=0;i<N;i++){
      m[i] = sc.nextInt();
      amount += m[i];
    }
    
    int min = m[0];
    for(int j=1;j<N;j++){
      if(m[j]<min){
        min = m[j];
      }
    }
    
    int last = (X-amount)/min;
    System.out.println(N+last);
  }
}
/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