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.
#include <bits/stdc++.h>
using namespace std;
const double pi = acos(-1.0);
const long long INF = 2e18;
void print(int a[], int n) {
  for (int i = 0; i < n; i++) cout << a[i] << " ";
  cout << "\n";
}
int main() {
  ios::sync_with_stdio(0);
  cin.tie(0);
  cout.tie(0);
  int tc = 1;
  while (tc--) {
    int n;
    cin >> n;
    map<int, int> m;
    for (int i = 0; i < (n); i++) {
      int x;
      cin >> x;
      m[x]++;
    }
    int mx = -1;
    for (auto t : m) {
      mx = max(t.second, mx);
    }
    if (!(n & 1)) {
      mx > n / 2 ? cout << "NO" : cout << "YES";
    } else {
      mx > n / 2 + 1 ? cout << "NO" : cout << "YES";
    }
  }
}
