Write a C program to calculate the parking fare for customers who park their cars in a parking lot when the following information is given:

a) A character showing the type of vehicle: C for car, B for bus and T for truck
b) An integer between 0 and 24 showing the hour the vehicle entered the lot
c) An integer between 0 and 60 showing the minute the vehicle entered the lot
d) An integer between 0 and 24 showing the hour the vehicle left the lot
e) An integer between 0 and 60 showing the minute the vehicle left the lot

This is a public lot. To encourage people to park for a short period of time, the management uses two different rates for each type of vehicle, as shown below:

Vehicle First Rate Second Rate
Car $0.00/hr first 3 hours $1.50/hr after 3 hours
Truck $1.00/hr first 2 hours $2.30/hr after 2 hours
Bus $2.00/hr first 1 hour $3.70/hr after 1 hour

You can assume that all vehicles will not be in the parking lot any later than midnight.

The input data consist of a character and a set of four integers representing the type of vehicle and the entering and leaving hours and minutes. But these pieces of data must be input into the computer in a user-friendly way. In other words, the computer must prompt the user to enter the data like shown below:

Type of vehicle? C
Hour vehicle entered lot (0 - 24)? 14
Minute vehicle entered lot (0 - 60)? 23
Hour vehicle left lot (0 - 24)? 18
Minute vehicle left lot (0 - 60)? 8

The output format is shown below:

PARKING LOT CHARGES
Type of vehicle:
TIME-IN XX : XX
TIME-OUT XX : XX

PARKING TIME XX : XX
ROUNDED TOTAL XX

TOTAL CHARGES $XX.XX

This program must first calculate the actual time spent in the parking lot for each vehicle. This means using modulo arithmetic to handle time calculations. There are many ways to handle this and one way is shown below:

a) Compare the minute portion of the leaving and entering time
If the first one is smaller than the second
• Add 60 to the minute portion of the leaving time
• Subtract 1 from the hour portion of the leaving time
b) Subtract the hour portion
c) Subtract the minute portion
d) Since there are no factional hour charges, the program must also round the parking time up to the next hour before calculating the charge. The program should use the switch statement to distinguish between the different types of vehicles.

A well structured program design is required. A typical solution will use several functions besides the main function. Create a set of test data and run your program for the test data to make sure it works right.