Create a class named Yourlastname$\_$Yourfirstname$\_$midterm$(5$ pts$).$ In this class, $1.$ Write a static method named problem 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 mustuse a while loop to solve the problem. $(15$ pts$)$Test case: problem$1(15)$ returns $56($because $2+4+6+8+10+12+14=56).2.$ Write a static method named problem that receives a positive integer n as the argument andcalculates the sum below by using a loop. Return the result.total $=1$ x $2+2$x$3+...+$ n x $($n $+1)(15$ pts$)$Test case: problem$2(5)$ returns $70($because $1$x$2+2$x$3+3$x$4+4$ x $5+5$ x $6=70).3.$ Write a static method named problem that accepts a string. Replace every occurrence of the first character with $"$$$"$ except for the first character itself. Capitalize the first letter of this word. Returnthe results. $(15$ pts$)$Test case: problem$3("$abcabcabcabc$")$ returns "Abc$bc$bc$bc$"\mathrm{.}4.$ Write an inner public class named Triangle $($not static$).$ In this class, $1)$ Write three private instance variables, a$,$ b$,$ and c$.$ Each instance variable represents the lengthof a line $($type double$).(6$ pts$)2)$ Write a constructor method to initialize each instance variable. $(3$ pts$)3)$ Write a public get$/$set method for each instance variable. $(6$ pts$)4)$ Write a public method named is$\_$triangle$)$ to calculate whether you can form a valid triangle with these three lines. Return true if a valid triangle can be formed, return false otherwise. Hint:the length of a side must be less than the combined length of the other two sides. $(10$ pts$)5)$ Write a public method named get$\_$triangle$\_$type$).$ In this method, check whether you can form a valid triangle with these three lines by using the method, is$\_$triangle$().$ If no$,$ return "cannotform a triangle". If yes, determine whether the triangle is equilateral, isosceles, or scalene. Return the result. Hint: An equilateral triangle has $3$ equal sides. An isosceles triangle has $2$equal sides. A scalene triangle has $3$ different sides. $(15$ pts$)$Test case: $1)$ Create two objects of the Triangle class, triangle$1$ with lines of length $20,40\mathrm{.}5,$ and $15\mathrm{.}5,$ andtriangle$2$ with lines of length $20\mathrm{.}5,15,20\mathrm{.}5\mathrm{.}2)$ For each object, call is$\_$triangle$()$ and get$\_$triangle$\_$type$()$ respectively$\mathrm{.}5.$ Write the main method to run each method with the provided test case. $(10$ pts$)$