Java programming 1) a) Write a java program int sum (int n), which returns the sum of all the digits to the integer n (ie transverse n) For example, if the sum is called by some (234), it returns 9 (= 2 + 3 + 4) . Note that if n is an integer, then n% 10 returns its last digit (234% 10 is 4) and n / 10 is cutting its last digit (234/10 is 23). You can assume that n is not negative. Also write a short main case that tests the case. b)Write a java program int (threeheads), which throws up a coin until heads comes up three times in a row. The function returns the number of throws needed to get this result. You use Math.random () to simulate the coin flips. Also, give a main-function that calls for your function 100,000 times and returns the average number of throws. Show a screenshot of one run. Please write the full code