Problem:
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

Solution in OCaml (4.10.0) (judge verdict: Accepted)

open Core

type input = {a: int; b: int}

let i = Scanf.scanf "%d %d" (fun a b -> {a; b})

let mean = (i.a + i.b) / 2 + (i.a + i.b) mod 2

let () = Printf.printf "%d\n" mean