Five Antennas

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.

Examples

Input

1 2 4 8 9 15

Output

Yay!

Input

15 18 26 35 36 18

Output

:(

inputFormat

Input

Input is given from Standard Input in the following format:

a b c d e k

outputFormat

Output

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

Examples

Input

1 2 4 8 9 15

Output

Yay!

Input

15 18 26 35 36 18

Output

:(

样例

1
2
4
8
9
15

Yay!