"Floor" brackets touching in cases

by Szabolcs   Last Updated August 01, 2020 11:23 AM - source

What is the nicest way to prevent the "floor brackets" from touching in this example?

enter image description here

\alpha=
\begin{cases}
\left\lfloor \frac{(a_1+b_1)^2}{4} \right\rfloor & x \\
\left\lfloor \frac{(a_2+b_2)^2}{4} \right\rfloor & y \\
\end{cases}

This is a minimal example. The real example also has fractions where the numerator is a square of some subscripted terms.

I could use \bigl and \bigr but then the brackets look a bit short.



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