Consider in an evolutionary algorithm, it is possible to use only the single or multi point crossover reproductions on an initial population of zeros and ones (0,1) and not to use the mutation operation. therefore, we will never get the optimal answer. Demonstrate this problem using the initial population as shown below?

There are exactly N people living in a certain parallel universe. The Ith of these NN people claim to be the parent of exactly Ai off these N people. However, some of these people may be lying - the person may either be telling the truth (in which case they have exactly Ai children) or lying down (in which case they can have any number of children). It is known that each person has at most one parent. Furthermore, as one would expect, a person's child is not allowed to also be their ancestor. What is the maximum possible number of truth tellers in this universe Using C++ programming language. Possible input 1 2 10 Required Output 2

provide a similar excel file for EA/GA execution of the traveling salesman problem. The following should be taken care of while making the file. Random initialization of 6 chromosomes in the initial population. A parent selection mechanism among (BT, FPS, RBS) Crossover and mutation with a crossover probability of 1.0 and a mutation probability of 0.5 Survival selection based on (mu + lambda) using (BT, FPS, RBS), but different from the one implemented in point 2 above All random numbers utilized throughout operation must be recorded

An evolutionary algorithm uses chromosomes that are strings over the alphabet Σ = {A, C, T, G}. Suggest an appropriate crossover operator for these chromosomes.