Mimi has recently found a very fun game - Candy Shop Tycoon! In this game, you are the owner of a candy store enterprise, each of which will produce some amount of candy at a constant rate.

Mimi, being a new player, only owns $3$ candy shops. The first shop produces $a$ candies per hour, the second $b$ candies per hour, and the third $c$ candies per hour.

She is trying to complete a quest where she must produce exactly $C$ candies in the next $100$ hours. To accomplish this, once an hour, she can tell any candy shop(s) to cease all production, or to restart production. Can you help Mimi clear this quest?

Constraints

$1\le a,b,c\le 1000000$
$1\le C\le 1000000000$

Input Specification

The first line of input will contain 3 space-separated integers: $a$, $b$, and $c$.
The second and final line of input will contain a single integer: $C$.

Output Specification

Output QUEST CLEARED if this is possible, and TRY AGAIN otherwise.

Sample Input 1

2 3 5
1000

Sample Output 1

QUEST CLEARED

Explanation for Sample Output 1

If we let all three shops produce candy, then we will produce $2+3+5=10$ candies per hour, and running this for $100$ hours gives you $10\times 100=1000$ candies.

Sample Input 2

1 10 20
3089

Sample Output 2

QUEST CLEARED

Explanation for Sample Output 2

If we let all three shops produce candy, then we will produce $1+10+20=31$ candies per hour, and running this for $100$ hours gives you $31\times 100=3100$ candies.
Shutting off the first and second shops for $1$ hour gives you $1\times 99+10\times 99+20\times 100=3089$ total candies.

Sample Input 3

2 4 6
7

Sample Output 3

TRY AGAIN