Problem:
Score : 100 points

Problem Statement

You are given a trapezoid. The lengths of its upper base, lower base, and height are a, b, and h, respectively.

An example of a trapezoid

Find the area of this trapezoid.

Constraints

1≦a≦100

1≦b≦100

1≦h≦100

All input values are integers.

h is even.

Input

The input is given from Standard Input in the following format:

a
b
h

Output

Print the area of the given trapezoid. It is guaranteed that the area is an integer.

Sample Input 1

3
4
2

Sample Output 1

7

When the lengths of the upper base, lower base, and height are 3, 4, and 2, respectively, the area of the trapezoid is (3+4)×2/2 = 7.

Sample Input 2

4
4
4

Sample Output 2

16

In this case, a parallelogram is given, which is also a trapezoid.

Solution in Scala (2.11.7) (judge verdict: Accepted)

  // A - 台形 / Trapezoids https://atcoder.jp/contests/abc045/tasks/abc045_a

  import io.Source

  object Main extends App {
    val xs = Source.stdin.getLines()
    val a = xs.next().toInt
    val b = xs.next().toInt
    val h = xs.next().toInt

    println(solve(a, b, h))

    def solve(a: Int, b: Int, h: Int): String = {
      ((a + b) * h / 2).toString
    }
  }