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In python can solve such a complicated optimization problem?

Time:04-10

Objective function and constraint function is shown in figure, this is a generator for arrangements, the sample answer in matlab lingo can more convenient to solve, but I want to try the problem solving in python, also tried with the monte carlo method, but because the variables are too many constraints are too complex and is not to come out, do not know to have bosses know how all this is more convenient in python
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