Question: a. Using Genetic algorithm Maximize f(x) = 2x-3x over {0, 1, 2...31) with initial x values of (14, 26, 9, 18), show the one

a. Using Genetic algorithm Maximize f(x) = 2x-3x over {0, 1, 2...31) with initial x values of (14, 26, 9,

a. Using Genetic algorithm Maximize f(x) = 2x-3x over {0, 1, 2...31) with initial x values of (14, 26, 9, 18), show the one crossover and mutation operation. b. Cluster the following eight points (with (x, y) representing locations) into three clusters: A1(2, 10), A2(2, 5), A3(8, 4), A4(5, 8), A5(7, 5), A6(6, 4), A7(1, 2), A8(4, 9) Initial cluster centers are: A1(2, 10), A4(5, 8) and A7(1, 2). The distance function between two points a = (x1, y1) and b = (x2, y2) is defined as lesbizor! P(a, b)=x2-x11+ y2-yll Use K-Means Algorithm to find the three cluster centers after the second iteration.

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