10571: ABC123 —— A - Five Antennas
[Creator : ]
Description
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 $q - p$.
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 $q - p$.
Input
Input is given from Standard Input in the following format:
```
$a$
$b$
$c$
$d$
$e$
$k$
```
```
$a$
$b$
$c$
$d$
$e$
$k$
```
Output
Print `:(` if there exists a pair of antennas that cannot communicate directly, and print `Yay!` if there is no such pair.
Constraints
- $a, b, c, d, e$ and $k$ are integers between $0$ and $123$ (inclusive).
- $a <b < c < d < e$
- $a <b < c < d < e$
Sample 1 Input
1
2
4
8
9
15
Sample 1 Output
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
Sample 2 Input
15
18
26
35
36
18
Sample 2 Output
:(
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 :(.