Sergio thinks of a positive integer S, less than or equal to 100. Iván must guess the number that Sergio thought of, using the following procedure: in each step, he chooses two positive integers A and B less than 100, and asks Sergio what is the greatest common factor between A+S and B. Give a sequence of seven steps that ensures Iván guesses the number S that Sergio thought of.Clarification:In each step, Sergio correctly answers Iván's question. combinatoricsnumber theory