import java.util.Scanner;

public class Main {

	public static void main(String[] args){

		Scanner sc = new Scanner(System.in);

		int kotae;
		int Mini;
		Mini = 0;

		int N = sc.nextInt();
		int X = sc.nextInt();

		int [] M;
		M = new int[N];

		for (int i = 0; i < N; i++){
			M[i] = sc.nextInt();
		}

		for (int i = 0; i < N; i++){
			X = X - M[i];
		}

		Mini = M[0];

		for (int i = 0; i < N; i++){
			if (Mini < M[i]){
				Mini = Mini;
			} else {
				Mini = M[i];
			}
		}

		kotae = (X / Mini) + N;

		System.out.println(kotae);

	}
}

/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