import java.util.Scanner;
public class Main {

    public static void main(String[] args){
    	Scanner sc = new Scanner(System.in);
    	// 入力
    	int n = sc.nextInt();
    	int x = sc.nextInt();
    	int min = 100000;
    	int cnt = 0;

    	for (int i = 0; i < n; i++){
    		int m = sc.nextInt();
    		x-= m;
    		min = Math.min(m, min);
    		cnt++;
    	}

    	while(x >= min) {
    		x-= min;
    		cnt++;
    	}

    	// 出力
    	System.out.println(cnt);
    }
}
/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