Problem Statement

You are given two positive integers $a$ and $b$. Let $x$ be the average of $a$ and $b$. Print $x$ rounded up to the nearest integer.

Constraints

• $a$ and $b$ are integers.
• $1 \\leq a, b \\leq 100$

Input

Input is given from Standard Input in the following format:

$a$ $b$

Output

Print $x$ rounded up to the nearest integer.

Sample Input 1

1 3

Sample Output 1

2

The average of $1$ and $3$ is $2.0$, and it will be rounded up to the nearest integer, $2$.

Sample Input 2

7 4

Sample Output 2

6

The average of $7$ and $4$ is $5.5$, and it will be rounded up to the nearest integer, $6$.

Sample Input 3

5 5

Sample Output 3

5