# # Solution to Project Euler problem 14 # Copyright (c) Project Nayuki. All rights reserved. # # https://www.nayuki.io/page/project-euler-solutions # https://github.com/nayuki/Project-Euler-solutions # import eulerlib, sys if sys.version_info.major == 2: range = xrange # We compute the Collatz chain length for every integer in the range according to the iteration rule. # Also, we cache the Collatz value for all integer arguments to speed up the computation. def compute(): sys.setrecursionlimit(3000) ans = max(range(1, 1000000), key=collatz_chain_length) return str(ans) @eulerlib.memoize def collatz_chain_length(x): if x == 1: return 1 if x % 2 == 0: y = x // 2 else: y = x * 3 + 1 return collatz_chain_length(y) + 1 if __name__ == "__main__": print(compute())