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;
import java.util.Arrays;

public class Main{
public static void main(String[] args){
Scanner scan=new Scanner(System.in);
int n=scan.nextInt();
int[] a=new int[n];

int i=0;
for(i=0;i<n;i++){
    a[i]=scan.nextInt();
}

int sum=0;
for(i=0;i<n;i++){
    if(a[i]%2==1&&i%2==0){
        sum=sum+1;
    }
}

System.out.println(sum);


}
}