(Modify) Modify the program you wrote for Exercise and include a new variable to represent...

(Modify) Modify the program you wrote for Exercise and include a new variable to represent the additional number of telephones to be connected to an existing network, and initialize this variable to 10. For this program, two outputs are required: the number of direct lines for 100 telephones and the additional number of lines needed when 10 telephones are added to the existing network.

Exercise:

(Telephony) In a directly connected telephone network, all telephones are connected and don’t require a central switching station to establish calls between two telephones. The number of lines needed to maintain a directly connected network for n telephones is given by this formula:

no. of lines needed =

For example, directly connecting four telephones requires six separate lines (see Figure). Adding a fifth telephone to this network requires an additional 4 lines for a total of 10 lines.

a. Using the given formula, write a C++ program that determines the number of lines required for directly connecting 100 telephones. The input for this problem is the number of telephones, denoted as n in the formula, and the output is the total number of lines required to directly connect the input number of telephones.

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b. Compile and run the program written for Exercise a.

Figure: Directly connecting four telephones