We callm = a1 + a2 + ... anasplitofm, wheremandai(i = 1, 2, ..., n) are counting numbers. There may be many different ways to splitm. For instance, 17 = 8 + 9, 17 = 3 + 6 + 8, and 17 = 2 + 5 + 5 + 5 are all splits of 17. Split2009so that the product of those addends is the largest.