Your task is to write a class which stores numbers using Progressive Overflow Method. You are provided with a header file which has the class definition inside; a source file which you are supposed to complete; a main file and an input file in order to test your functions. Please test your code by using the main file and input file, and be sure that your functions work well with the given inputs. You can change the inputs and the table size in the main in order to test your work with different inputs.
You have five member functions to implement:
● Constructor for the class: The parameter passed to the constructor represents thedesired size of the hash table. Write necessary code to accommodate this.
● insert: The parameter passed is the value to be inserted into the hash table. Writenecessary code to insert this value to the hash table using Progressive Overflow logic.
● find_num_probes: This function’s job is to find out how many ‘hops’ are required tofind a certain key inside the hash table. Note that the number of probes for a given key must be at least 1 (i.e. if you find the key directly without following any links, the result should be 1). The parameter passed is the key to be searched for in the hash table. You can assume that the searched key always exists in the table.
● find_average_num_probes: Computes average number of probes required to find a key in this table. Find how many probes it takes to find all keys inside the hash table, and divide it by the number of valid entries.
DO NOT make any changes to the header file.
DO NOT send a main function along with your work.
DO NOT change the names of the files.
