Estimate Pi as described in the following link: http://www.people.virginia.edu/~teh1m/cody/Pi_estimation1.pdf
please update the link to the document, cant find it anymore
The link is broken, but you can solve this problem with the Leibniz formula for π.
The principle is described here: https://en.wikipedia.org/wiki/Leibniz_formula_for_%CF%80
Find the longest sequence of 1's in a binary sequence.
Set some matrix elements to zero
Pi Estimate 2
Linear system solve
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