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.