Problem:
Score : 200 points

Problem Statement

We have a long seat of width X centimeters.
There are many people who wants to sit here. A person sitting on the seat will always occupy an interval of length Y centimeters.

We would like to seat as many people as possible, but they are all very shy, and there must be a gap of length at least Z centimeters between two people, and between the end of the seat and a person.

At most how many people can sit on the seat?

Constraints

All input values are integers.

1 \leq X, Y, Z \leq 10^5

Y+2Z \leq X

Input

Input is given from Standard Input in the following format:

X Y Z

Output

Print the answer.

Sample Input 1

13 3 1

Sample Output 1

3

There is just enough room for three, as shown below:

Figure

Sample Input 2

12 3 1

Sample Output 2

2

Sample Input 3

100000 1 1

Sample Output 3

49999

Sample Input 4

64146 123 456

Sample Output 4

110

Sample Input 5

64145 123 456

Sample Output 5

109

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

object Main {
  def main(args: Array[String]) {
    val sc = new java.util.Scanner(System.in)
    val x = sc.nextInt
    val y = sc.nextInt
    val z = sc.nextInt

    println(go(x, y, z, 0, z))
  }

  def go(x: Int, y: Int, z: Int, count: Int, now: Int): Int = {
    if (now == x) count
    else if (now > x) count - 1
    else go(x, y, z, count+1, now + y + z)
  }
}