AMC 10A 2021 Spring Problem 19

The area of the region bounded by the graph of

x^{2}+y^{2}=3|x-y|+3|x+y|

is m+n \pi, where m and n are integers. What is m+n ?

Answer Choices
A. 18
B. 27
C. 36
D. 45
E. 54