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 3

-----Sample Output-----
2

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

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