{A, B} = {181, 1835}. If negative integers are allowed, then {A, B) = {2196, -180} is also a valid solution- as:
• 181+1835=2016, and 181^2+1835=186^2
• (-180)+2196=2016, and (-180)^2+2196=186^2
For an explanation, refer to the analytic solution submitted by armando in this location.
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