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Contest: Task: Related: TaskB

Score: $100$ points

Problem Statement

In AtCoder city, there are five antennas standing in a straight line. They are called Antenna $A, B, C, D$ and $E$ from west to east, and their coordinates are $a, b, c, d$ and $e$, respectively.
Two antennas can communicate directly if the distance between them is $k$ or less, and they cannot if the distance is greater than $k$.
Determine if there exists a pair of antennas that cannot communicate directly.
Here, assume that the distance between two antennas at coordinates $p$ and $q$ ($p < q$) is $q - p$.

Constraints

  • $a, b, c, d, e$ and $k$ are integers between $0$ and $123$ (inclusive).
  • $a < b < c < d < e$

Input

Input is given from Standard Input in the following format:

$a$
$b$
$c$
$d$
$e$
$k$

Output

Print :( if there exists a pair of antennas that cannot communicate directly, and print Yay! if there is no such pair.

Sample Input 1

1
2
4
8
9
15

Sample Output 1

Yay!

In this case, there is no pair of antennas that cannot communicate directly, because:

  • the distance between $A$ and $B$ is $2 - 1$ = $1$
  • the distance between $A$ and $C$ is $4 - 1$ = $3$
  • the distance between $A$ and $D$ is $8 - 1$ = $7$
  • the distance between $A$ and $E$ is $9 - 1$ = $8$
  • the distance between $B$ and $C$ is $4 - 2$ = $2$
  • the distance between $B$ and $D$ is $8 - 2$ = $6$
  • the distance between $B$ and $E$ is $9 - 2$ = $7$
  • the distance between $C$ and $D$ is $8 - 4$ = $4$
  • the distance between $C$ and $E$ is $9 - 4$ = $5$
  • the distance between $D$ and $E$ is $9 - 8$ = $1$

and none of them is greater than $15$. Thus, the correct output is Yay!.

Sample Input 2

15
18
26
35
36
18

Sample Output 2

:(

In this case, the distance between antennas $A$ and $D$ is $35 - 15$ = $20$ and exceeds $18$, so they cannot communicate directly. Thus, the correct output is :(.