We have N squares assigned the numbers 1,2,3,\ldots,N. Each square has an integer written on it, and the integer written on Square i is a_i.

How many squares i satisfy both of the following conditions?

* The assigned number, i, is odd.
* The written integer is odd.

Constraints

* All values in input are integers.
* 1 \leq N, a_i \leq 100

Input

Input is given from Standard Input in the following format:


N
a_1 a_2 \cdots a_N


Output

Print the number of squares that satisfy both of the conditions.

Examples

Input

5
1 3 4 5 7


Output

2


Input

15
13 76 46 15 50 98 93 77 31 43 84 90 6 24 14


Output

3
import java.util.Scanner;
public class Main
{
	public static void main(String[] args)
    {
		Scanner sc = new Scanner(System.in);
      	int a = Integer.parseInt(sc.nextLine());
      	int result = 0;
      	for(int i = 0; i < a; i++)
        {
         	if(sc.nextInt() % 2 == 1 && i % 2 == 0)
            {
             	result++; 
            }
        }
      
      	System.out.println(result);
    }
}