FYI, herbie.uwplse.org.
This might be useful for engineers.

Ok, so this problem is like a fight with a hydra, and to win you have to chop it's tail.

One advise for people who use python: x*x is much faster than x**2

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I have tried to solve it using recursion, there are some edge cases that are been failing. Any success in algorithmic approach?

these test cases suck so much. oh yeah, cases up to quadrillions, lets give you test cases with inputs up to 1 so very helpful