in java, without importing collections

the game starts with a list of random positive integer numbers such that their sum 45. in each round, you subtract one from each number in the list and remove it if it becomes zero, add the sum of the subtracted numbers to the end of the list. the game is over when the list has 1, 2, 3, 4, 5, 6, 7, 8, and 9, in some order. in your program, print the list after each round