Problem:
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Circle in a Rectangle

Write a program which reads a rectangle and a circle, and determines whether the circle is arranged inside the rectangle. As shown in the following figures, the upper right coordinate $(W, H)$ of the rectangle and the central coordinate $(x, y)$ and radius $r$ of the circle are given.

Input

Five integers $W$, $H$, $x$, $y$ and $r$ separated by a single space are given in a line.

Output

Print "Yes" if the circle is placed inside the rectangle, otherwise "No" in a line.

Constraints

$ -100 \leq x, y \leq 100$

$ 0 < W, H, r \leq 100$

Sample Input 1

5 4 2 2 1

Sample Output 1

Yes

Sample Input 2

5 4 2 4 1

Sample Output 2

No

Solution in Scala (judge verdict: Accepted)

object Main extends App {
  val sc = new java.util.Scanner(System.in)
  val w, h, x, y, r = sc.nextInt
  val lx = x - r
  val rx = x + r
  val ly = y - r
  val ry = y + r

  def inBounds(x: Int, y: Int): Boolean = {
    0 <= x & x <= w & 0 <= y & y <= h
  }

  println(if (inBounds(lx, ly) & inBounds(rx, ry)) "Yes" else "No")
}