Find the maximum value of the function [F=x_{1} x_{2}] subject to the constraints [begin{aligned}& x_{1}^{2}+x_{2}^{2} leq 4
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Find the maximum value of the function
\[F=x_{1} x_{2}\]
subject to the constraints
\[\begin{aligned}& x_{1}^{2}+x_{2}^{2} \leq 4 \\& x_{1}, x_{2} \geq 0 \text { and integer }\end{aligned}\]
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