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 PHP (judge verdict: Accepted)

<?php
$input = explode(' ', trim(fgets(STDIN)));
$rectanglePosWidth = $input[0];
$rectanglePosHeight = $input[1];
$circlePosWidth = $input[2];
$circlePosHeight = $input[3];
$circleRadius = $input[4];
  
if (judgeCircleIncludInRectangleForWidth($circlePosWidth, $circleRadius, $rectanglePosWidth) && judgeCircleIncludInRectangleForHeight($circlePosHeight, $circleRadius, $rectanglePosHeight)) {
    echo 'Yes', PHP_EOL;
} else {
    echo 'No', PHP_EOL;
}
  
function judgeCircleIncludInRectangleForWidth($circlePosWidth, $circleRadius, $rectanglePosWidth)
{
    return 0 <= ($circlePosWidth - $circleRadius) && ($circlePosWidth + $circleRadius) <= $rectanglePosWidth;
}
  
function judgeCircleIncludInRectangleForHeight($circlePosHeight, $circleRadius, $rectanglePosHeight)
{
    return  0 <= ($circlePosHeight - $circleRadius) && ($circlePosHeight + $circleRadius) <= $rectanglePosHeight;
}