Gentic Algorithm for curve detection

The original problem was to solve the Brachistochrone problem. The problem is defined as such. We want to move some ball typically from the origin (0, 0) to (x, -y), with x >= 0, y >= 0. But we want to detect the shape of the curve which will minimise the transit time of the ball. This genetic algorithm is a generalisation to a whole class of problems where the shape of some curve typically need to be detected. The code given below can be driven by a user defined objective function. The objective function to solve the Brachistchrone is also given in the code. The crossover, mutation, and population merging operators given are worth investigating themselves. These are discussed in the report below.

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