const inf = Number.MAX_SAFE_INTEGER;
function Main(input){
	input = input.split("\n")
	var mem = input[0].split(" ").map(Number);
	var n = mem[1];
	var arrsum = 0;
	var min = inf;
	for(var i=1;i<input.length;i++){
		input[i] -= 0;
		arrsum += input[i];
		if(min>input[i]) min = input[i];
	}
	console.log(Math.floor((n-arrsum)/min)+input.length-1)
}Main(require("fs").readFileSync("/dev/stdin", "utf8").trim());