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1	// pi_spigot.cpp — compute N decimal digits of pi using the
2	// Rabinowitz–Wagon spigot algorithm.
3	//
4	// "A Spigot Algorithm for the Digits of Pi"
5	// Stanley Rabinowitz and Stan Wagon, 1995.
6	//
7	// The algorithm exploits the series
8	//
9	// pi = sum_{i=0..inf} (i! * 2^(i+1)) / (2i+1)!!
10	//

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# Factorial Function example

def factorial(n: int) -> int:
   ''' Factorial, returns `n!`. Equal to `1*2*3*...n`. '''
    if n < 0:

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