H - Bear and Three Balls

Limak is a little polar bear. He has n balls, the i-th ball has size t_i.

Limak wants to give one ball to each of his three friends. Giving gifts isn't easy — there are two rules Limak must obey to make friends happy:

• No two friends can get balls of the same size.
• No two friends can get balls of sizes that differ by more than 2.

For example, Limak can choose balls with sizes 4, 5 and 3, or balls with sizes 90, 91 and 92. But he can't choose balls with sizes 5, 5 and 6 (two friends would get balls of the same size), and he can't choose balls with sizes 30, 31 and 33 (because sizes 30 and 33 differ by more than 2).

Your task is to check whether Limak can choose three balls that satisfy conditions above.

Input

The first line of the input contains one integer n (3 ≤ n ≤ 50) — the number of balls Limak has.

The second line contains n integers t₁, t₂, ..., t_n (1 ≤ t_i ≤ 1000) where t_i denotes the size of the i-th ball.

Output

Print "YES" (without quotes) if Limak can choose three balls of distinct sizes, such that any two of them differ by no more than 2. Otherwise, print "NO" (without quotes).

Examples

Input

4
18 55 16 17

Output

YES

Input

6
40 41 43 44 44 44

Output

NO

Input

8
5 972 3 4 1 4 970 971

Output

YES
 
纯数学思维题目。。。写这个题目的目的 主要是有个去重的函数

#include<cstdio>
#include<cstring>
#include<cmath>
#include<queue>
#include<algorithm>
using namespace std;
int s[];
int main()
{
    int n;
    scanf("%d",&n);
    for(int i=;i<n;i++)
    {
        scanf("%d",&s[i]);
    }
 
    sort(s,s+n);
 
    int len=unique(s,s+n)-s;//去重   
 
    int flog=;
 
    for(int i=;i<len;i++)
    {
        if(s[i+]==s[i]+&&s[i+]==s[i+]+)
        {
            flog=;
            break;
        }
    }
    if(flog==)
    printf("YES\n");
    else
    printf("NO\n");
    return ;
}