import java.util.*;
//import java.math.BigInteger;

public class Main {
    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);
        //String str = sc.next();
        int N = sc.nextInt();
        int X = sc.nextInt();
        int[] m = new int[N];
        int min = 1000;
        int sum = 0;
        
        for(int i=0; i<N; i++){
            m[i] = sc.nextInt();
            sum += m[i];
            if(min > m[i]){
                min = m[i];
            }
        }
        //System.out.println(sum);
        X = X - sum;
        //System.out.println(X);
        X /= min;
        
        System.out.println(N+X);
    }
}

/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