Cody

# Problem 2908. Approximation of Pi

Solution 2425867

Submitted on 30 May 2020 by Ashish Jangid
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### Test Suite

Test Status Code Input and Output
1   Pass
n = 1; y_correct = -0.858407346410207; assert(abs(pi_approx(n)-y_correct)<(100*eps))

s = 1 y = -0.8584

2   Pass
n = 2; y_correct = 0.474925986923126; assert(abs(pi_approx(n)-y_correct)<(100*eps))

s = 1 s = 0.6667 y = 0.4749

3   Pass
n = 4; y_correct = 0.246354558351698; assert(abs(pi_approx(n)-y_correct)<(100*eps))

s = 1 s = 0.6667 s = 0.8667 s = 0.7238 y = 0.2464

4   Pass
n = 7; y_correct = -0.142145830148691; assert(abs(pi_approx(n)-y_correct)<(100*eps))

s = 1 s = 0.6667 s = 0.8667 s = 0.7238 s = 0.8349 s = 0.7440 s = 0.8209 y = -0.1421

5   Pass
n = 10; y_correct = 0.099753034660390; assert(abs(pi_approx(n)-y_correct)<(100*eps))

s = 1 s = 0.6667 s = 0.8667 s = 0.7238 s = 0.8349 s = 0.7440 s = 0.8209 s = 0.7543 s = 0.8131 s = 0.7605 y = 0.0998

6   Pass
n = 14; y_correct = 0.071338035810608; assert(abs(pi_approx(n)-y_correct)<(100*eps))

s = 1 s = 0.6667 s = 0.8667 s = 0.7238 s = 0.8349 s = 0.7440 s = 0.8209 s = 0.7543 s = 0.8131 s = 0.7605 s = 0.8081 s = 0.7646 s = 0.8046 s = 0.7676 y = 0.0713

7   Pass
n = 17; y_correct = -0.058772861819756; assert(abs(pi_approx(n)-y_correct)<(100*eps))

s = 1 s = 0.6667 s = 0.8667 s = 0.7238 s = 0.8349 s = 0.7440 s = 0.8209 s = 0.7543 s = 0.8131 s = 0.7605 s = 0.8081 s = 0.7646 s = 0.8046 s = 0.7676 s = 0.8020 s = 0.7698 s = 0.8001 y = -0.0588

8   Pass
n = 20; y_correct = 0.049968846921953; assert(abs(pi_approx(n)-y_correct)<(100*eps))

s = 1 s = 0.6667 s = 0.8667 s = 0.7238 s = 0.8349 s = 0.7440 s = 0.8209 s = 0.7543 s = 0.8131 s = 0.7605 s = 0.8081 s = 0.7646 s = 0.8046 s = 0.7676 s = 0.8020 s = 0.7698 s = 0.8001 s = 0.7715 s = 0.7985 s = 0.7729 y = 0.0500

9   Pass
n = 25; y_correct = -0.039984031845239; assert(abs(pi_approx(n)-y_correct)<(100*eps))

s = 1 s = 0.6667 s = 0.8667 s = 0.7238 s = 0.8349 s = 0.7440 s = 0.8209 s = 0.7543 s = 0.8131 s = 0.7605 s = 0.8081 s = 0.7646 s = 0.8046 s = 0.7676 s = 0.8020 s = 0.7698 s = 0.8001 s = 0.7715 s = 0.7985 s = 0.7729 s = 0.7973 s = 0.7740 s = 0.7963 s = 0.7750 s = 0.7954 y = -0.0400