Problem #1: Car experts recommend changing your air filter as often as every 6000 miles if the oil's category is A. However, if the category is B, it is recommended to change the filter every 3000 miles. Write a program that reads the oil's category and the car trip miles then does the following: Prints Wrong category if the category entered by the user is different than A and 'B'. Prints "You should change your car filter!" if it is time to change the filter according to the category (i.e. when miles are above 6000 for A or miles are above 3000 for B). If it is not the time to change the filter, the program prints the remaining miles and wishes the driver a safe drive. Sample Runt: Sample Run2: Enter oil category: A Enter oil category: B Enter Trip miles: 5000 Enter Trip miles: 3800 You still have 1000 miles. Drive safely You should change your car filter! Sample Run3: Sample Run4: Enter oil category: C Enter oil category: B Enter Trip miles:9000 Enter Trip miles: 2800 Wrong category You still have 200 miles. Drive safely