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Collatz conjecture
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import sys | |
# Take any positive integer n. | |
# If n is even, divide it by 2 to get n / 2. | |
# If n is odd, multiply it by 3 and add 1 to obtain 3n + 1. | |
# The conjecture is that no matter what number you start with, you will always eventually reach 1. | |
def collatz(n): | |
if n % 2 == 0: | |
return n / 2 | |
else: | |
return ((n * 3) + 1) / 2 | |
if __name__ == '__main__': | |
n = int(sys.argv[1]) | |
if n < 0: | |
sys.exit('N should be a positive integer.') | |
count = 0 | |
while n != 1: | |
print(n) | |
n = collatz(n) | |
count += 1 | |
print('Operation took ' + str(count) + ' steps.') |
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