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 static java.util.Arrays.fill;
import static java.util.Arrays.sort;

public class Main {

  public static void main(String... args) {
    System.out.println(toResult(readLines()));
  }


  public static String toResult(String... lines) {
    int n = Integer.valueOf(lines[0]);
    int[] as = toInts(lines[1]);
    int mf = maxFrequency(as);

    boolean can = (n - mf) >= mf - 1;
    return can ? "YES" : "NO";
  }

  private static int maxFrequency(int[] as) {
    int[] frequencies = new int[1000];
    fill(frequencies, 0);
    for (int a : as) {
      frequencies[a - 1]++;
    }
    sort(frequencies);
    return frequencies[999];
  }

  private static int[] toInts(String line) {
    final String[] split = line.split(" ");
    final int[] result = new int[split.length];
    for (int i = 0; i < split.length; i++) {
      result[i] = Integer.parseInt(split[i]);
    }
    return result;
  }

  private static String[] readLines() {
    try (BufferedReader br = new BufferedReader(new InputStreamReader(System.in))) {
      return new String[]{br.readLine(), br.readLine()};
    } catch (IOException e) {
      throw new IllegalStateException();
    }
  }
}
