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?
~1 \leq a, b, c \leq 1\,000\,000~
~1 \leq C \leq 1\,000\,000\,000~
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~.
QUEST CLEARED if this is possible, and
TRY AGAIN otherwise.
Sample Input 1
2 3 5 1000
Sample Output 1
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
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