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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.

### 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