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2 Extra Credit: Collatz Conjecture (10 points) The Collatz sequence starting at n is a sequence of integers that starts at n and ending at 1. It generates the next integer in the sequence using the following rules: if n is even if n is odd 3n +1 where f(n) is the next number in the sequence. Using these rules and starting at 10, we get the sequence: 10-5-16-8-4-2-1 Thus, the Collatz sequence starting at 10, has a length of 7, as there are 7 terms. Find the starting number under one million, which produces that longest chain 2.1 Extra Credit: Automatic A Prove or disprove that for any positive integer (integer in the math sense, not the 32-bit data type) n, the sequence always terminates with 1