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Consider the following function: 0 1 2 3 f(x) 7 2 10 18 6 3 17 11 4 4 5 6 7 8 9 10

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Consider the following function: 0 1 2 3 f(x) 7 2 10 18 6 3 17 11 4 4 5 6 7 8 9 10 11 12 13 13 4 20 9 29 5 14 15 1 1) Write the function as a Discrete Fourier Polynomial (AKA, the Walsh Polynomial, AKA, the Hadamar Polynomi 2) Convert the function into its multilinear form. 3) Convert the multilinear form into a quadratic form. You can assume minimization, and make the Penalty term 30. Remove pairs of variables with the lowest index first (in lexicographic order: x4, x3, x2, x1. E.G. x1,x2

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