406027: GYM102219 J Kitchen Plates

You are given 5 different sizes of kitchen plates. Each plate is marked with a letter $$$A$$$, $$$B$$$, $$$C$$$, $$$D$$$, or $$$E$$$. You are given 5 statements comparing two different plates, you need to rearrange the plates from smallest size to biggest size. For example: the sizes of these plates.

The input consist of 5 lines. In each line there will be 3 characters, the first and last character will be either $$$A$$$, $$$B$$$, $$$C$$$, $$$D$$$, or $$$E$$$ and the middle character will be either $$$>$$$ or $$$<$$$ describing the comparison between two plates sizes. No two plates will be equal.

The output consist of $$$5$$$ characters, the sorted order of balls from smallest to biggest plate. Otherwise, if the statements are contradicting print $$$impossible$$$. If there are multiple answers, print any of them.

D>B
A>D
E<C
A>B
B>C

ECBDA

B>E
A>B
E>A
C<B
D<B

impossible