Programming Problems Each of these problems should be solved in the starter file available on the course website. They should be submitted to the blackboard Most programming problems may also be checked by running the starter file, which calls the function testAll() to run test cases. #1 - countFirstLetter(L, letter) Write a function countFirstLetter(L, letter) that counts and returns the number of elements whose first letter is the one given. You may assume the list elements are strings. e.g., countFirstLetter(["dog", "daisy", "cat", "dandelion"], "d") returns 3 #2 - middleAppend(L, item) Write a function middleAppend(L, item) which finds the middle of the list (use integer division), inserts a new value at that location in the list, and returns the updated list. e.g., middleAppend([1, 2, 3], 4) modifies the list to be [1, 4, 2, 3] #3 - odds(L) Write a function odds(L) that returns a new list of only the odd-indexed items. Note that this is not the odd numbers- it is the odd indexes! e.g., [0, 1, 2, 3, 4, 5] returns [1, 3, 5], and [1, 2, 3, 4, 5, 6] returns [2, 4, 6] #4 - removeEvens(L) Write a function removeEvens(L) that removes the even-indexed items of the list, leaving a list of only the original odd-indexed items remaining in L. e.g., [0, 1,2,3,4,5] modifies the list to be [1,3,5] while [1,2,3,4,5,6] becomes [2,4,6] Note: this is tricky because L is changing; you should check for aliasing issues. You can assume there is only one of each value in the list.