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: Wrong Answer)

object Main { 
  def main(args: Array[String]): Unit = {
    val sc = new java.util.Scanner(System.in)
    val W = sc.nextInt
    val H = sc.nextInt
    val x = sc.nextInt
    val y = sc.nextInt
    val r = sc.nextInt
    def judge(t:Int,u:Int):Boolean = {
      t <= W && t>0 && u <= H && u > 0  
    }
    val square = List((x+r,y),(x,y+r),(x-r,y),(x,y-r))
    val safe = square.map(t=>judge(t._1,t._2)).reduce((l,r)=>l && r)

    if(safe){
      println("Yes")
    } else {
      println("No")
    }
  }
}