Find the largest real number r such that r[r] = 2019{r}

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[r] denotes the greatest integer less than or equal to r

{r} denotes the fractional part of r

This problem is tripping me up. Obviously r has to be some sort of decimal, or else the fractional part of it would be 0. The fact that [r] is the floor of r also makes this confusing for me. Overall, this problem just feels hard to work with.

edit: got it! thank you guys!