Codeforce 296A - Yaroslav and Permutations

Yaroslav has an array that consists of n integers. In one second Yaroslav can swap two neighboring array elements. Now Yaroslav is wondering if he can obtain an array where any two neighboring elements would be distinct in a finite time.

Help Yaroslav.

Input

The first line contains integer n (1 ≤ n ≤ 100) — the number of elements in the array. The second line contains n integers a1, a2, ..., an(1 ≤ ai ≤ 1000) — the array elements.

Output

In the single line print "YES" (without the quotes) if Yaroslav can obtain the array he needs, and "NO" (without the quotes) otherwise.

Examples

input

1
1

output

YES

input

3
1 1 2

output

YES

input

4
7 7 7 7

output

NO

Note

In the first sample the initial array fits well.

In the second sample Yaroslav can get array: 1, 2, 1. He can swap the last and the second last elements to obtain it.

In the third sample Yarosav can't get the array he needs.

题解：统计出现次数最多的如果大于一半就不满足

 #include <iostream>

 #include <algorithm>

 #include <cstring>

 #include <cstdio>

 #include <vector>

 #include <cstdlib>

 #include <iomanip>

 #include <cmath>

 #include <ctime>

 #include <map>

 #include <set>

 using namespace std;

 #define lowbit(x) (x&(-x))

 #define max(x,y) (x>y?x:y)

 #define min(x,y) (x<y?x:y)

 #define MAX 100000000000000000

 #define MOD 1000000007

 #define pi acos(-1.0)

 #define ei exp(1)

 #define PI 3.141592653589793238462

 #define INF 0x3f3f3f3f3f

 #define mem(a) (memset(a,0,sizeof(a)))

 typedef long long ll;

 ll gcd(ll a,ll b){

     return b?gcd(b,a%b):a;

 }

 const int N=;

 const int mod=1e9+;

 bool flag=;

 int a[N];

 int main()

 {

     std::ios::sync_with_stdio(false);

     int n,t;

     cin>>n;

     for(int i=;i<n;i++){

         cin>>t;

         a[t]++;

         if(a[t]>(n+)/) flag=;

     }

     if(flag) cout<<"NO"<<endl;

     else cout<<"YES"<<endl;

     return ;

 }