Problem: The currency system in the Kingdom of Yoax-Musty is strange and fairly inefficient. Like other countries, the kingdom has its own currencty unit denoted by K $ (kingdom dollar). However, the Ministry of Finance issues bills for every value between 1 K $ and (231 - 1) K $ worth.

On the other hand, this system often enables people to make many different values just with a small number of bills. For example, if you have four bills of 1 K $, 2 K $, 4 K $, and 8 K $ worth respectively, you can make any values from 1 K #36; to 15 K $.

In this problem, you are requested to write a program that finds the minimum value that cannot be made with a given set (multiset in a mathematical sense) of bills. For the case with the four bills (1 K $, 2 K $, 4 K $, and 8 K $), since you can make any values up to 15 K $, your program should report 16 K $.



Input

The input consists of two lines. The first line contains an integer N (1 ≤ N ≤ 10000), the number of bills. The second line contains N integers, each of which represents the value of a bill in K $. There may be multiple bills of the same value.

Output

Print the minimum value unable to be made on a line. The value should be given in K $ and without any currency sign or name.

Example

Input




Output

Solution (in CPP):

Solution:
#include<stdio.h>
#include<algorithm>
using namespace std;
long long t[11000];
int main(){
	int a;scanf("%d",&a);
	for(int i=0;i<a;i++)scanf("%lld",t+i);
	std::sort(t,t+a);
	if(t[0]!=1){
		printf("1\n");return 0;
	}
	long long now=0;
	for(int i=0;i<a;i++){
		now+=t[i];
		if(i==a-1||now+1<t[i+1]){
			printf("%lld\n",now+1);
			break;
		}
	}
}