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 Go (1.6) (judge verdict: Accepted)

package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

func main() {
	scanner := bufio.NewScanner(os.Stdin)
	scanner.Split(bufio.ScanWords)
	
	N := ScanInt(scanner)
	
	odd := 0
	for i := 0; i < N; i++ {
	    A := ScanInt(scanner)
	    if A % 2 == 1 {
	        odd++
	    }
	}
	
	if odd % 2 == 0 {
	    fmt.Println("YES")
	} else {
	    fmt.Println("NO")
	}
}

func ScanInt(scanner *bufio.Scanner) int {
	scanner.Scan()
	i, e := strconv.Atoi(scanner.Text())
	if e != nil {
		panic(e)
	}
	return i
}

func ScanFloat64(scanner *bufio.Scanner) float64 {
	scanner.Scan()
	f, e := strconv.ParseFloat(scanner.Text(), 64)
	if e != nil {
		panic(e)
	}
	return f
}

func ScanText(scanner *bufio.Scanner) string {
	scanner.Scan()
	return scanner.Text()
}

func Max(a, b int) int {
	if a < b {
		return b
	}
	return a
}

func Min(a, b int) int {
	if a > b {
		return b
	}
	return a
}

func Abs(a int) int {
	if a < 0 {
		a *= -1
	}
	return a
}