Program specifications: Implement an ADT version of the class Stack. Use the ADT to develop a C++ program (you cannot use STL to build ADT) that (1) reads a flight map that is annotated with flying costs and an origin city from an input file, (2) determines a flight route to each city that can be visited from the origin city and the associated total cost, and (3) for each reachable city, writes the flight route from the origin city to the city and the associated total cost to an output file.

Consider the following flight map as an example: see image.

In this map, letters represent cities, arrows represent direct flights between cities, and dollar amounts written beside the arrows indicate the associated flying costs. For example, there is a direct flight from city P to city W and the cost of this flight is $200.

Given such a flight map, we say that city B can be visited from city A, if there exists a flight route (a set of direct flights) from city A to city B. For example, the cities R, X, W, S, T, Y, and Z can be visited from the city P, whereas the city Q cannot be visited from city P. The set of cities that lie in the flight route from city P to city Z is: P, W, Y, and Z.

If city B can be visited from city A, we define the total cost for flying from A to B as the sum of the cost of all direct flights in the flight route from A to B. For example, the total cost for flying from city P to city Z (flight route: P, W, Y, Z) is $200 + $500 + $450 = $1150.

Your program should be invoked as follows:

searchmap input_file output_file

The format of the input file is as follows:

input_file
P
P W 200
P R 300
R X 200
Q X 375
W S 250
S T 300
S W 350
W Y 500
Y Z 450
Y R 600

The file input_file contains a description of an origin city (P) and a cost-annotated flight map (which is shown in Figure 1). The first line of the file contains the name of the origin city. Each subsequent line describes a pair of cities that has a direct flight between them and the associated cost of the direct flight. For example, the second line indicates that there is a direct flight from city P to city W and the cost of this direct flight is $200.

The file output_file shown below contains the desired output of the program. Each line of the output file displays a (destination) city that can be visited from the origin city, the flight route from the origin to the city, and the associated total cost.

output_file. see image.

If multiple routes exist to a destination city, your program is only required to find one of those routes, and that route does not necessarily need to be the cheapest route.

File naming conventions: The name of your source files should be searchmap.cpp, mapclass.h, mapclass.cpp, stackP.h, and stackP.cpp.

The file searchmap.cpp contains the client code that uses a mapclass ADT. The mapclass ADT stores a flight map and provides operations that facilitate a search of the flight map. The specifications and implementations of the mapclass ADT are contained in the files mapclass.h and mapclass.cpp, respectively.

The mapclass ADT internally uses the stack ADT to facilitate a search for cities for which routes are not known. The header file stackP.h contains the specification of a stack ADT, and the file stackP.cpp contains the implementation of the stack ADT. To gain experience with linked-lists, you are required to write your own stack ADT using non-circular, singly-linked lists. You should not directly use the StackP module that is given in the Carrano textbook, although you can use it for inspiration. Also, you should not use the C++ STL stack to develop your program.

Assumptions: You can assume that only a single character will be used to represent a city. You should not make any assumptions on the total number of cities or direct flights between pairs of cities that the flight map will have. You are required to implement the stack ADT using a noncircular, singly-linked list. Also, you may assume that the input and output file names will appear on the command-line in the order described earlier.

Exception handling: Your implementation should catch the following exceptions:

1. If input and/or output filenames do not appear on the command line, or the input file does not exist.

2. Bad input file. This includes an input file that contains any of the following errors:

(a) No origin city

(b) A city represented with more than one character

(c) A pair of cities with no associated flight cost

(d) A pair of cities with a non-positive flight cost

(e) A malformed pair of cities (e.g., a city pair with just 1 city, or 3 or more cities)

3. If new returns NULL when allocating memory.

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