Minimize the following function using PSO Algorithm.

$f(x_1,x_2)=x_1^2+x_2^2+[sin(x_1){]}^2+[sin(x_2){]}^2$

Where; $-50x_{1}50$ and $-50x_{2}50$ only take the result for two iterations, please solve the question by hand no need to programing code.