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: Time Limit Exceeded)

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

namespace AtCoder.Abc
{
    public class QuestionA
    {
        public static void Main(string[] args)
        {
            // 整数の入力
            long n = long.Parse(Console.ReadLine());

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

            while (true) {
                var target = inputLongList[0];
                var guusuu = target % 2 == 0;
                for (int i = 1; i< inputLongList.Count; ++i) {

                    var check = inputLongList[i];
                    if((check % 2 == 0) == guusuu) {
                        inputLongList.Add(target + check);
                        inputLongList.Remove(target);
                        inputLongList.Remove(check);
                        break;
                    }

                    if (i == inputLongList.Count - 1) {
                        Console.WriteLine("NO");
                        return;
                    }
                }
                if (inputLongList.Count == 1) {
                    Console.WriteLine("YES");
                    return;
                }


            }
        }
    }
}