Problem B
Election
Reports from the voting stations are starting to trickle in and you hope that you can soon declare a victory.
There are $N$ voters and everyone votes for one of the two candidates (there are no spoiled ballots). In order to win, a candidate needs more than half of the votes. A certain number $M \leq N$ of ballots have been counted, and there are $V_ i$ votes for candidate $i$ ($V_1+V_2 = M$).
Due to the historical data and results of highly scientific polls, you know that each of the remaining votes has a $50\% $ chance to go to your candidate (the first candidate, corresponding to $V_1$). That makes you think that you could announce the win before all the votes are counted. So, if the probability of winning strictly exceeds a certain threshold $W$, the victory is yours! We just hope you are sure of this, we don’t want any scandals...
Input
The first line of input contains a single positive integer $T \leq 100$ indicating the number of test cases. Next $T$ lines each contain four integers: $N$, $V_1$, $V_2$ and $W$ as described above.
The input limits are as follows:
$1 \leq N \leq 50$
$50 \leq W < 100$
$V_1,V_2 \geq 0$
$V_1+V_2 \leq N$
Output
For each test case print a single line containing the appropriate action:
-
If the probability that your candidate will win is strictly greater than $W\% $, print
GET A CRATE OF CHAMPAGNE FROM THE BASEMENT!
-
If your candidate has no chance of winning, print
RECOUNT!
-
Otherwise, print
PATIENCE, EVERYONE!
Sample Input 1 | Sample Output 1 |
---|---|
4 5 0 3 75 5 0 2 75 6 1 0 50 7 4 0 75 |
RECOUNT! PATIENCE, EVERYONE! PATIENCE, EVERYONE! GET A CRATE OF CHAMPAGNE FROM THE BASEMENT! |