Problem:
Score : 300 points

Problem Statement

There are N integers written on a blackboard. The i-th integer is A_i.

Takahashi will repeatedly perform the following operation on these numbers:

Select a pair of integers, A_i and A_j, that have the same parity (that is, both are even or both are odd) and erase them.

Then, write a new integer on the blackboard that is equal to the sum of those integers, A_i+A_j.

Determine whether it is possible to have only one integer on the blackboard.

Constraints

2 ≦ N ≦ 10^5

1 ≦ A_i ≦ 10^9

A_i is an integer.

Input

The input is given from Standard Input in the following format:

N
A_1 A_2 … A_N

Output

If it is possible to have only one integer on the blackboard, print YES. Otherwise, print NO.

Sample Input 1

3
1 2 3

Sample Output 1

YES

It is possible to have only one integer on the blackboard, as follows:

Erase 1 and 3 from the blackboard, then write 4. Now, there are two integers on the blackboard: 2 and 4.

Erase 2 and 4 from the blackboard, then write 6. Now, there is only one integer on the blackboard: 6.

Sample Input 2

5
1 2 3 4 5

Sample Output 2

NO

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace AtCoder.Abc
{
    class QuestionC
    {
        public static void Main(string[] args)
        {
            var sw = new System.IO.StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false };
            Console.SetOut(sw);

            //// 文字列の入力
            //string s = Console.ReadLine();

            //// 整数の入力
            //long n = long.Parse(Console.ReadLine());

            //// 文字列配列の入力
            //string[] inputStrArray = Console.ReadLine().Split(' ');

            //// 整数配列の入力
            //var inputLongArray = Console.ReadLine().Split(' ').Select(i => long.Parse(i)).ToArray();

            long n = long.Parse(Console.ReadLine());
            var datas = Console.ReadLine().Split(' ').Select(m => long.Parse(m)).ToArray();

            int count = 0;

            foreach (var a in datas) {
                if (a % 2 != 0) {
                    count++;
                }
            }

            string result = "";

            if (count % 2 == 0) {
                result = "YES";
            } else {
                result = "NO";
            }


            Console.WriteLine(result);

            Console.Out.Flush();
        }
    }
}