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 1\,000\,000~
~1 \le C \le 1\,000\,000\,000~

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