codeforces IndiaHacks 2016 - Online Edition (Div. 1 + Div. 2) A. Bear and Three Balls

A. Bear and Three Balls

time limit per test

2 seconds

memory limit per test

256 megabytes

input

standard input

output

standard output

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

Limak wants togive 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 morethan 2.

For example,Limak can choose balls with sizes 45 and 3, or balls with sizes 9091 and 92. But he can'tchoose balls with sizes 55 and6 (two friends would get balls of the same size), andhe can't choose balls with sizes 3031 and 33 (because sizes 30 and 33 differ bymore than 2).

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

Input

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

The second linecontains n integers t1, t2, ..., tn (1 ≤ ti ≤ 1000) where ti denotesthe size of the i-th ball.

Output

Print "YES" (without quotes) if Limak canchoose three balls of distinct sizes, such that any two of them differ by nomore 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

Note

In the first sample, there are 4 balls and Limak is able to choose three of themto satisfy the rules. He must must choose balls with sizes18, 16 and 17.

In the second sample, there is no way to give gifts tothree friends without breaking the rules.

In the third sample, there is even more than one wayto choose balls:

1.    Choose balls with sizes 34 and 5.

2.    Choose balls with sizes 972970971.

 

 

 

 

这道题就是判断给定的一串数字中是否存在三个连续的整数;

对这些数排序后,在进行判断;

注意存在相等的数时,要接着向后在移一位;

 

#include<bits/stdc++.h>

using namespace std;

int num[51];

int main()

{

    int n;

    scanf("%d",&n);

    for(int i=0;i<n;++i)

    {

        scanf("%d",&num[i]);

    }

    sort(num,num+n);

    boolflag=0;

    for(int i=0;i<n-2;++i)

    {

        for(int j=i+1;j<n-1;++j)

        {

            if(num[j]-num[i]>1)

                break;

            for(int k=j+1;k<n;++k)

            {

                if(num[k]-num[j]>1) break;

                if(num[k]-num[j]==1&&num[j]-num[i]==1)

                {

                    flag=1;

                    break;

                }

            }

            if(flag) break;

        }

        if(flag) break;

    }

    if(flag)cout<<"YES"<<endl;

    else cout<<"NO"<<endl;

    return 0;

}

 

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