{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-05-26T00:16:20.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-05-26T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":1442,"title":"Volume of a Simplex","description":"Return the volume of a \u003chttp://en.wikipedia.org/wiki/Simplex  regular _n_-simplex\u003e with a unit side length.\r\n\r\nResults are up to |4*eps| precision.\r\n\r\nNeither *string operations* nor *interpolations* are allowed!","description_html":"\u003cp\u003eReturn the volume of a 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1.0;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 2;\r\nV_correct = 0.433012701892219;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 3;\r\nV_correct = 0.117851130197758;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 4;\r\nV_correct = 0.023292374765623;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 5;\r\nV_correct = 0.003608439182435;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 6;\r\nV_correct = 0.000459331824838;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 7;\r\nV_correct = 0.000049603174603;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 8;\r\nV_correct = 0.000004650297619;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 9;\r\nV_correct = 0.000000385125244;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 10;\r\nV_correct = 0.000000028561653;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 11;\r\nV_correct = 0.000000001917653;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 12;\r\nV_correct = 0.000000000117613;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 13;\r\nV_correct = 0.000000000006639;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 14;\r\nV_correct = 0.000000000000347;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 15;\r\nV_correct = 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unit side length.\r\n\r\nResults are up to |4*eps| precision.\r\n\r\nNeither *string operations* nor *interpolations* are allowed!","description_html":"\u003cp\u003eReturn the volume of a \u003ca href = \"http://en.wikipedia.org/wiki/Simplex\"\u003eregular \u003ci\u003en\u003c/i\u003e-simplex\u003c/a\u003e with a unit side length.\u003c/p\u003e\u003cp\u003eResults are up to \u003ctt\u003e4*eps\u003c/tt\u003e precision.\u003c/p\u003e\u003cp\u003eNeither \u003cb\u003estring operations\u003c/b\u003e nor \u003cb\u003einterpolations\u003c/b\u003e are allowed!\u003c/p\u003e","function_template":"function V = simplexvolume(n)\r\n  V = n;\r\nend","test_suite":"user_solution = fileread('simplexvolume.m');\r\nassert(isempty(strfind(user_solution,'regexp')));\r\nassert(isempty(strfind(user_solution,'2str')));\r\nassert(isempty(strfind(user_solution,'str2')));\r\nassert(isempty(strfind(user_solution,'interp')));\r\nassert(isempty(strfind(user_solution,'printf')));\r\nassert(isempty(strfind(user_solution,'assert')));\r\n\r\n%%\r\nn = 0;\r\nV_correct = 1.0;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 1;\r\nV_correct = 1.0;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 2;\r\nV_correct = 0.433012701892219;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 3;\r\nV_correct = 0.117851130197758;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 4;\r\nV_correct = 0.023292374765623;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 5;\r\nV_correct = 0.003608439182435;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 6;\r\nV_correct = 0.000459331824838;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 7;\r\nV_correct = 0.000049603174603;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 8;\r\nV_correct = 0.000004650297619;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 9;\r\nV_correct = 0.000000385125244;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 10;\r\nV_correct = 0.000000028561653;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 11;\r\nV_correct = 0.000000001917653;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 12;\r\nV_correct = 0.000000000117613;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 13;\r\nV_correct = 0.000000000006639;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 14;\r\nV_correct = 0.000000000000347;\r\nassert(abs(simplexvolume(n)-V_correct)\u003c4*eps)\r\n\r\n%%\r\nn = 15;\r\nV_correct = 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