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.

import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.Scanner;

public class A179 {

    public void solve() throws IOException {

        Scanner sc = new Scanner(System.in);
        BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
        PrintWriter pw = new PrintWriter(System.out);

        int i = 0, j = 0, k = 0;
        long ans = 0, sum = 0, count = 0;
        int n = sc.nextInt();

        int a[] = new int[n];
        int b[] = new int[1000 + 1];

        for (i = 0; i < n; ++i) {
            a[i] = sc.nextInt();
            b[a[i]]++;
        }
        if (n % 2 == 0) {
            for (int l = 1; l < 1000 + 1; l++) {
                if (b[l] > n / 2) {
                    System.out.println("NO");
                    System.exit(0);
                }
            }
            System.out.println("YES");
            System.exit(0);
        } else {
            for (int l = 1; l < 1000 + 1; l++) {
                if (b[l] > (n / 2 + 1)) {
                    System.out.println("NO");
                    System.exit(0);
                }
            }
            System.out.println("YES");
            System.exit(0);
        }

    }

    public static void main(String[] args) throws IOException {
        new A179().solve();

    }
}
