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 javax.sound.midi.Soundbank;
import java.util.*;
import java.lang.*;

public class Main
{
    public static void main (String[] args)
    {
        // your code goes here
        Scanner s = new Scanner(System.in);
        int n= s.nextInt();
        int c= 0;
        for(int j=0; j<n; j++)
        {
            int x = s.nextInt();
            if(j%2==0&&x%2==1)
                c++;
        }

        System.out.println(c);

    }
}
