Score : $100$ points

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.

1 3

2

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

7 4

6

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

5 5

5