Filtering With Duplicates and Max for Entire Row Output

Hello,

Hope I explain this well:

I have tried multiples ways and nothing seems to be working right, even though it seems very easy if my head!

I need to return an entire row based on criteria in columns A and B. Column A is 1-100. And Column B is random numbers, but there are some duplicates. So I want to return the entire row for each row (and of duplicates), using the highest of Column A for each column B. Is that possible with a function??

Not to mention have to add this to another already long equation, but will worry about that after.

Let's say I have this:

A B C D E
200 219 2017 M 35
201 219 2017 M 35
202 219 2017 M 35
203 219 2017 M 35
204 219 2017 M 35
205 219 2017 M 35
206 220 2017 M 35
207 220 2017 M 35
208 220 2017 M 35
209 220 2017 M 35
210 220 2017 M 35
211 220 2017 M 35

And it should output: (multiple columns, with highest of column A, given Column B) with forumula
205 219 2017 M 35
211 220 2017 M 35

Thank you thank you! Looks wayyyy harder than I thought, would never be able to figure that out.