import java.util.*;
public class Main {
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
    
		// 整数の入力
		int n = sc.nextInt();
		int x = sc.nextInt();
        int min = Integer.MAX_VALUE;
        
        for(int i = 0; i < n; i++) {
          int value = sc.nextInt();
          x -= value;
          if (value < min) {
            min = value;
          }
        }
        int ans = n;
    
		// 出力
		System.out.println(n + (int)Math.floor(x / min));
	}
}
/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