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In the given text, the key idea is the use of the genetic algorithm OPF (Optimal Power Flow) for solving optimization problems. This algorithm utilizes principles inspired by the process of natural selection to find optimal solutions. By incorporating genetic operators such as mutation and crossover, the genetic algorithm explores a wide range of potential solutions, gradually improving the fitness of each individual in the population. This iterative process allows for the identification of the best possible solution for the given optimization problem.