1. [20 points][MID] The subseta problem is stated as follows. Given a set of N positive integers X - {r1,2,...In}. Find a subset P of the set X such that the sum of the elements of P is equal to 21. For example, if N=5 and the set X = {12, 17,3.24,6}, the set P = {12, 3,6} is a valid solution for the subset problem in this example. Formulate the subset problem as a Genetic or Evolutionary Algorithm optimization. You may use binary representation, OR any representation that you think is more appropriate. you should specify: • fitness function. Give 3 examples of individuals and their fitness values if you are solving the above example (ie. X = {12, 17,3, 24,6}). • A set of mutation and/or crossover and/or repair operators. Intelligent operators that are suitable for this particular domain will earn more credit. • A termination criterion for the evolutionary optimization which insures that you terminate with a valid solution for the subseta problem if possible without run- ning indefinitely.

Q: 1. [20 points] [MID] The subset21 problem is stated as follows. Given a set of N positive integers X…

A: Given that

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A: Given that, P={a, b, c, d, e, f, g, h, i} and Q={a, e, o, i, u}

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A: MATLAB code is provided in the next step.

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A: Set

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A: Compute of given sets

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A: R={(1,7),(5,11),(1,13)} According to relation, above combination satisfy the condition.

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A: The Code is given below:-

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A: Answer: (5,5) (1,3)

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A: Answer: (1,3) (5,5)

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A: Required:

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A: Below is the code using C++

Q: Question: Code the following in C++ An integer X is cool if it has a primitive root modulo X. The…

A: Below is the code using C++

Q: Question: Code the following in C++ An integer X is cool if it has a primitive root modulo X. The…

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A:

Q: Question: Code the following in C++ An integer X is cool if it has a primitive root modulo X. The…

A: Given:

Q: Question: Code the following in C++ An integer X is cool if it has a primitive root modulo X. The…

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Q: Question: Code the following in C++ An integer X is cool if it has a primitive root modulo X. The…

A: Given:

Q: Question: Code the following in C++ An integer X is cool if it has a primitive root modulo X. The…

A: Here is the detailed and simplified C++ code for the above listed problem statement:

Q: Question: Code the following in C++ An integer X is cool if it has a primitive root modulo X. The…

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A: Here is the detailed and simplified C++ code for the above listed problem statement:

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A:

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Q: An integer X is cool if it has a primitive root modulo X. The coolness of a non-empty set of N…

A: Below is the Code in c++ as asked