Write the algorithm for solving the problem [min f(X)=80left(x_{1}^{2}+x_{2} ight)^{2}+left(1-x_{1} ight)^{2}] subject to $X in[0,5]$

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Write the algorithm for solving the problem

\[\min f(X)=80\left(x_{1}^{2}+x_{2}\right)^{2}+\left(1-x_{1}\right)^{2}\]

subject to $X \in[0,5]$

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