An Odd Problem

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

inputFormat

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

outputFormat

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

样例

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

3