import java.util.*;

public class Main {
  public static void main(String[] args) throws Exception {
    Scanner sc = new Scanner(System.in);
    int type   = sc.nextInt(); //ドーナツ種類
    int powder = sc.nextInt(); //粉
    int mini   = 0;            //一番小さいドーナツ
    int count = 0;
    
    for(int i = 0 ; i < type ; i++){
      int temp = sc.nextInt();
      powder -= temp;
      if(mini == 0){mini=temp;}
      else if(mini > temp){mini=temp;}
    }
    
    while(mini <= powder){
      powder -= mini;
      count++;
    }
    System.out.println(count + type);
  }
}

/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