|
Matcom Online Grader
Faculty of Mathematics and Computer Science of University of Havana
ℹ️ We've recently migrated MOG to a new server with a different grader. As a result, some features—especially those related to submission evaluation—might not work correctly. If you encounter any issues, please report them by clicking the exclamation icon in the bottom right corner of the website.
MOG Training #2Ended |
B - Boys and Girls
Languages: C, C++, Java, Pascal, Python, Tiger, JavaScript, Haskell, C#
Time & Memory limits: (details)
Bob found a nice task in his old math book for children. It says:
There are 10 children standing in a circle, 5 of them stand next to a boy, and 7 of them stand next to a girl. How is it possible?
Here is the solution to the task. If 4 boys and 6 girls stand like this: BGBGBGBGGG, there are 5 children who stand next to a boy (here they are underlined: BGBGBGBGGG, and 7 children who stand next to a girl (BGBGBGBGGG).
Now Bob wants to solve a generalized version of this task:
There are $n$ children standing in a circle, $x$ of them stand next to a boy, and $y$ of them stand next to a girl. How is it possible?
Help Bob by writing a program that solves the generalized task.
Input
The single line of the input contains three integers $n$, $x$ and $y$ ($2 \leq n \leq 100\,000$; $0\leq x, y\leq n$).
Output
If there is a solution, output a string of length $n$, describing the order of children in the circle. Character G corresponds to a girl, character B corresponds to a boy. If there are several solutions, output any of them. If there is no solution, output $\texttt{Impossible}$.
Sample test(s)
Input
10 5 7
Output
BGBGBGBGGG
Input
10 3 8
Output
Impossible