Cody

# Problem 1442. Volume of a Simplex

Solution 234238

Submitted on 23 Apr 2013 by Dan
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### Test Suite

Test Status Code Input and Output
1   Pass
user_solution = fileread('simplexvolume.m'); assert(isempty(strfind(user_solution,'regexp'))); assert(isempty(strfind(user_solution,'2str'))); assert(isempty(strfind(user_solution,'str2'))); assert(isempty(strfind(user_solution,'interp')));

``` ```

2   Pass
%% n = 0; V_correct = 1.0; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 1 ```

3   Pass
%% n = 1; V_correct = 1.0; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 1.0000 ```

4   Pass
%% n = 2; V_correct = 0.433012701892219; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 0.4330 ```

5   Pass
%% n = 3; V_correct = 0.117851130197758; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 0.1179 ```

6   Pass
%% n = 4; V_correct = 0.023292374765623; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 0.0233 ```

7   Pass
%% n = 5; V_correct = 0.003608439182435; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 0.0036 ```

8   Pass
%% n = 6; V_correct = 0.000459331824838; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 4.5933e-04 ```

9   Pass
%% n = 7; V_correct = 0.000049603174603; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 4.9603e-05 ```

10   Pass
%% n = 8; V_correct = 0.000004650297619; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 4.6503e-06 ```

11   Pass
%% n = 9; V_correct = 0.000000385125244; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 3.8513e-07 ```

12   Pass
%% n = 10; V_correct = 0.000000028561653; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 2.8562e-08 ```

13   Pass
%% n = 11; V_correct = 0.000000001917653; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 1.9177e-09 ```

14   Pass
%% n = 12; V_correct = 0.000000000117613; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 1.1761e-10 ```

15   Pass
%% n = 13; V_correct = 0.000000000006639; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 6.6388e-12 ```

16   Pass
%% n = 14; V_correct = 0.000000000000347; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 3.4708e-13 ```

17   Pass
%% n = 15; V_correct = 0.000000000000017; assert(abs(simplexvolume(n)-V_correct)<4*eps)

``` ans = 1.6898e-14 ```