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

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