The following sequence of keys is to be inserted into an initially empty hash table of size 8:cat, goat, dog, bird, bison, ant, flea, bat, duckThe hash function assigns to each key the number of characters in the key. For example, h("cat") is 3, because "cat" has 3 characters.1. Assume that linear probing is used to insert the keys. Determine which key causes overflow, and show the table at that point.2. Finally, assume that double hashing is used, with the value of the second hash function based on the first character in the key: a = 1, b = 2, c = 3, d = 4, e = 5, f = 6, g = 7, etc. Determine which key causes the table to overflow, and show the table at the point at which it does so.

Consider the following code snippet: #ifndef cashregister_h#define cashregister_hconst double max_balance = 6000000.0; class cashregister{public: cashregister(); cashregister(double new_balance); void set_balance(double new_balance); double get_balance() const; private: double balance[12]; }; double get_monthly_balance(cashregister bk, int month); #endifwhich of the following is correct? a)the header file is correct as given.b)the definition of max_balance should be removed since header files should not contain constants.c)the definition of cashregister should be removed since header files should not contain class definitions.d)the body of the get_monthly_balance function should be added to the header file.

Write a program that begins by reading in a series of positive integers on a single line of input and then computes and prints the product of those integers. integers are accepted and multiplied until the user enters an integer less than 1. this final number is not part of the product. then, the program prints the product. if the first entered number is negative or 0, the program must print “bad input.” and terminate immediately. next, the program determines and prints the prime factorization of the product, listing the factors in increasing order. if a prime number is not a factor of the product, then it

Perform the following tasks: a. create a class named testclass that holds a single private integer field and a public constructor. the only statement in the constructor is one that displays the message “constructing”. write a main()function that instantiates one object of the testclass. save the file as testclass.cpp in the chapter 08 folder. run the program and observe the results. b. write another main()function that instantiates an array of 10 testclass objects. save the file as test class array.c . run this program and observe the results.