Cody

# Problem 2908. Approximation of Pi

Solution 1865254

Submitted on 4 Jul 2019 by Dominik Glettler
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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))

y = 1 x = 1 y = 4 y = -0.8584

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

y = 1 x = 1 y = 0.6667 x = 2 y = 2.6667 y = 0.4749

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

y = 1 x = 1 y = 0.6667 x = 2 y = 0.8667 x = 3 y = 0.7238 x = 4 y = 2.8952 y = 0.2464

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

y = 1 x = 1 y = 0.6667 x = 2 y = 0.8667 x = 3 y = 0.7238 x = 4 y = 0.8349 x = 5 y = 0.7440 x = 6 y = 0.8209 x = 7 y = 3.2837 y = -0.1421

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

y = 1 x = 1 y = 0.6667 x = 2 y = 0.8667 x = 3 y = 0.7238 x = 4 y = 0.8349 x = 5 y = 0.7440 x = 6 y = 0.8209 x = 7 y = 0.7543 x = 8 y = 0.8131 x = 9 y = 0.7605 x = 10 y = 3.0418 y = 0.0998

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

y = 1 x = 1 y = 0.6667 x = 2 y = 0.8667 x = 3 y = 0.7238 x = 4 y = 0.8349 x = 5 y = 0.7440 x = 6 y = 0.8209 x = 7 y = 0.7543 x = 8 y = 0.8131 x = 9 y = 0.7605 x = 10 y = 0.8081 x = 11 y = 0.7646 x = 12 y = 0.8046 x = 13 y = 0.7676 x = 14 y = 3.0703 y = 0.0713

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

y = 1 x = 1 y = 0.6667 x = 2 y = 0.8667 x = 3 y = 0.7238 x = 4 y = 0.8349 x = 5 y = 0.7440 x = 6 y = 0.8209 x = 7 y = 0.7543 x = 8 y = 0.8131 x = 9 y = 0.7605 x = 10 y = 0.8081 x = 11 y = 0.7646 x = 12 y = 0.8046 x = 13 y = 0.7676 x = 14 y = 0.8020 x = 15 y = 0.7698 x = 16 y = 0.8001 x = 17 y = 3.2004 y = -0.0588

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

y = 1 x = 1 y = 0.6667 x = 2 y = 0.8667 x = 3 y = 0.7238 x = 4 y = 0.8349 x = 5 y = 0.7440 x = 6 y = 0.8209 x = 7 y = 0.7543 x = 8 y = 0.8131 x = 9 y = 0.7605 x = 10 y = 0.8081 x = 11 y = 0.7646 x = 12 y = 0.8046 x = 13 y = 0.7676 x = 14 y = 0.8020 x = 15 y = 0.7698 x = 16 y = 0.8001 x = 17 y = 0.7715 x = 18 y = 0.7985 x = 19 y = 0.7729 x = 20 y = 3.0916 y = 0.0500

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

y = 1 x = 1 y = 0.6667 x = 2 y = 0.8667 x = 3 y = 0.7238 x = 4 y = 0.8349 x = 5 y = 0.7440 x = 6 y = 0.8209 x = 7 y = 0.7543 x = 8 y = 0.8131 x = 9 y = 0.7605 x = 10 y = 0.8081 x = 11 y = 0.7646 x = 12 y = 0.8046 x = 13 y = 0.7676 x = 14 y = 0.8020 x = 15 y = 0.7698 x = 16 y = 0.8001 x = 17 y = 0.7715 x = 18 y = 0.7985 x = 19 y = 0.7729 x = 20 y = 0.7973 x = 21 y = 0.7740 x = 22 y = 0.7963 x = 23 y = 0.7750 x = 24 y = 0.7954 x = 25 y = 3.1816 y = -0.0400