Problem:
﻿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 :(.

Solution in PHP7 (7.0.15) (judge verdict: Wrong Answer)

<?php

$stdin = fopen('php://stdin', 'r');
$inputs = explode("\n", $stdin);

$antennas = array($inputs[0], $inputs[1], $inputs[2], $inputs[3], $inputs[4]);
$k =  $inputs[5];


//セット組み合わせ
/*
 * ** 01 02 03 04
 * -- ** 12 13 14
 * -- -- ** 23 24
 * -- -- -- ** 34
 * -- -- -- -- **
 */

    if(!chk(0,1,$antennas, $k)){echo ":("; exit();}
    if(!chk(0,2,$antennas, $k)){echo ":("; exit();}
    if(!chk(0,3,$antennas, $k)){echo ":("; exit();}
    if(!chk(0,4,$antennas, $k)){echo ":("; exit();}
    if(!chk(1,2,$antennas, $k)){echo ":("; exit();}
    if(!chk(1,3,$antennas, $k)){echo ":("; exit();}
    if(!chk(1,4,$antennas, $k)){echo ":("; exit();}
    if(!chk(2,3,$antennas, $k)){echo ":("; exit();}
    if(!chk(2,4,$antennas, $k)){echo ":("; exit();}
    if(!chk(3,4,$antennas, $k)){echo ":("; exit();}
echo "yay!";
    exit();

function chk($i, $j, $aa, $k){
    return delta($aa[$i], $aa[$j]) > $k;
}



function delta($a,$b){
    if($a == $b){
        return 0;
    }else if($a > $b){
        return $a-$b;
    }else if($a < $b){
        return $b-$a;
    }
}