Create a class named Yourlastname$\_$Yourfirstname$\_$midterm $(10$ pts$).$ In this class, import java.util.Scanner; $1.$ Write a static method called problem$1$ that keeps prompting the user for integer values. Calculate the sum of ONLY two$-$digit numbers. Return the sum when the user enters $0.(10$ pts$)$ Test case: if the input stream is $1,20,300,40,5,600,$ and $0,$ problem$1()$ returns $60(20+40=60).2.$ Write a static method named problem$2$ that accepts a positive integer as the argument and returns the sum of all the positive even numbers that are less than or equal to the input number. You must use a while loop to solve the problem. $(10$ pts$)$ Test case: problem$2(15)$ returns $56($because $2+4+6+8+10+12+14=56).3.$ Write a static method named problem$3$ that receives a positive integer n as the argument and calculates the sum below by using a loop. Return the result. total $=1$ x $2+2$ x $3+...+$ n x $($n $+1)(10$ pts$)$ Test case: problem$3(5)$ returns $70($because $1$ x $2+2$ x $3+3$ x $4+4$ x $5+5$ x $6=70).4.$ Write a static method called problem$4$ that accepts a string as the argument. Assume that this string contains a sequence of words separated by spaces. Each word is surrounded by one # sign at the beginning and at the end. Remove the # signs from the string and then replace it with angle brackets. Make each letter lowercase. Return the result. $(10$ pts$)$ Test case: problem$4($#HELLO# #world# #Python# #BREAK#$)$ returns $.5.$ Write an inner public class named Car $($not static$).$ The Car class should have a static variable, serialNumber, and five protected instance variables. $1)$ Write the following variables: $(20$ pts$)$ Static variable, serialNumber: the number of the car objects that have been created, static, int, initial value $=0.$ Instance variables $$ make: the brand or company that manufactures the car, String, must be specified when instantiated. $$ model: the version of the car within a manufacturer's lineup, String, must be specified when instantiated. $$ year: the car$$s model year, int, must be specified when instantiated.