Problem 47103. Estimate Pi by Monte Carlo method

Created by Jiseon Shin

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We can estimate the value of pi with random number by Monte Carlo method. 
Suppose we have a square of side length of 1 and a quarter of a circle which fits into the square as one can see below.
Now assume that we thow a ball into the square and get the probability of hitting the quarter circle. 
The probability will be close to as the number of balls increases. 
Refer to this page for more details. : https://en.wikipedia.org/wiki/Monte_Carlo_method

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Last Solution submitted on May 14, 2024

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Undine Falkenhagen on 28 Oct 2020

My solution, although giving the correct answers (checked via "format longg" and accepted by the later tests), did not get accepted in the first test. Maybe there is a problem there?

goc3 on 28 Oct 2020

The test suite has been updated to check against a tolerance; hopefully that will overcome the concern mentioned by Undine Falkenhagen.

Rafael S.T. Vieira on 29 Oct 2020

Tip: Generate the pair of numbers using p = rand(2,n)' (the order that numbers must be used: rand(n,2) does not work for instance); this will not solve the problem, but it's half way there.

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Problem 47103. Estimate Pi by Monte Carlo method

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Problem 47103. Estimate Pi by Monte Carlo method

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