{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2025-12-14T01:33:56.000Z","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":"2025-12-14T00:00:00.000Z","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":46828,"title":"Approximate functions 2 (★★★★)","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 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205.533px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCompute the following sum for any given x and number of terms n.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 45px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22.5px; text-align: center; transform-origin: 384px 22.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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example\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 30.65px; transform-origin: 404px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 50.6px 8.5px; transform-origin: 50.6px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 4.21667px 8.5px; transform-origin: 4.21667px 8.5px; \"\u003e2\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(178, 140, 0); border-block-start-color: rgb(178, 140, 0); border-bottom-color: rgb(178, 140, 0); border-inline-end-color: rgb(178, 140, 0); border-inline-start-color: rgb(178, 140, 0); border-left-color: rgb(178, 140, 0); border-right-color: rgb(178, 140, 0); border-top-color: rgb(178, 140, 0); caret-color: rgb(178, 140, 0); color: rgb(178, 140, 0); column-rule-color: rgb(178, 140, 0); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(178, 140, 0); perspective-origin: 46.3833px 8.5px; text-decoration: none; text-decoration-color: rgb(178, 140, 0); text-emphasis-color: rgb(178, 140, 0); transform-origin: 46.3833px 8.5px; \"\u003e! = 1x2 = 2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 59.0333px 8.5px; transform-origin: 59.0333px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 4.21667px 8.5px; transform-origin: 4.21667px 8.5px; \"\u003e3\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(178, 140, 0); border-block-start-color: rgb(178, 140, 0); border-bottom-color: rgb(178, 140, 0); border-inline-end-color: rgb(178, 140, 0); border-inline-start-color: rgb(178, 140, 0); border-left-color: rgb(178, 140, 0); border-right-color: rgb(178, 140, 0); border-top-color: rgb(178, 140, 0); caret-color: rgb(178, 140, 0); color: rgb(178, 140, 0); column-rule-color: rgb(178, 140, 0); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(178, 140, 0); perspective-origin: 54.8167px 8.5px; text-decoration: none; text-decoration-color: rgb(178, 140, 0); text-emphasis-color: rgb(178, 140, 0); transform-origin: 54.8167px 8.5px; \"\u003e! = 1x2x3 = 6\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 84.3333px 8.5px; transform-origin: 84.3333px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 4.21667px 8.5px; transform-origin: 4.21667px 8.5px; \"\u003e5\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(178, 140, 0); border-block-start-color: rgb(178, 140, 0); border-bottom-color: rgb(178, 140, 0); border-inline-end-color: rgb(178, 140, 0); border-inline-start-color: rgb(178, 140, 0); border-left-color: rgb(178, 140, 0); border-right-color: rgb(178, 140, 0); border-top-color: rgb(178, 140, 0); caret-color: rgb(178, 140, 0); color: rgb(178, 140, 0); column-rule-color: rgb(178, 140, 0); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(178, 140, 0); perspective-origin: 80.1167px 8.5px; text-decoration: none; text-decoration-color: rgb(178, 140, 0); text-emphasis-color: rgb(178, 140, 0); transform-origin: 80.1167px 8.5px; \"\u003e! = 1x2x3x4x5 = 120\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 78.3px 10.5px; transform-origin: 78.3px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf x=1 and n = 4, we have\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 45px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22.5px; text-align: left; transform-origin: 384px 22.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" src=\"data:image/gif;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4167px 10.5px; transform-origin: 84.4167px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAvoid using for/while loops.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(x,n)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1; n = 4;\r\ny_correct = 4241/5040;\r\nassert(isequal(your_fcn_name(x,n),y_correct))\r\n%%\r\nx = 0.5; n = 2;\r\ny_correct = 23/48;\r\nassert(isequal(your_fcn_name(x,n),y_correct))\r\n%%\r\nfiletext = fileread('your_fcn_name.m');\r\nassert(isempty(strfind(filetext, 'for')),'for forbidden')\r\nassert(isempty(strfind(filetext, 'while')),'while forbidden')\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":428668,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":29,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-17T01:46:42.000Z","updated_at":"2026-04-05T02:31:17.000Z","published_at":"2020-10-17T01:46:42.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCompute the following sum for any given x and number of terms n.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"center\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"41\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"368\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHere m! denotes the factorial of m, which the product of all natural numbers upto m, for example\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[2! = 1x2 = 2\\n3! = 1x2x3 = 6\\n5! = 1x2x3x4x5 = 120]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf x=1 and n = 4, we have\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAvoid using for/while loops.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image1.gif\",\"relationshipId\":\"rId1\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/image\",\"target\":\"/media/image2.gif\",\"relationshipId\":\"rId2\"}]},{\"partUri\":\"/media/image1.gif\",\"contentType\":\"image/gif\",\"content\":\"data:image/gif;base64,R0lGODlhcAEpALMAAP///wAAALq6uqqqqmZmZtzc3JiYmO7u7szMzERERCIiIoiIiFRUVDIyMnZ2dhAQECH5BAEAAAAALAAAAABwASkAAAT+EMhJq704gyEGOVooVsRQEMWohkm6vpmwGAtsU8eQTPl+/8CgcEgsWh4SRs2oYQQeBqbmEKhWQVLLQSFxCLKYwaAxEZPB6LR6DXQ1EGxJND5BfAGF+9rgGzDoeGcSBYKAhoeIQgULS3EOMw6Ic2wGfxuFa4QUmomdnp8ZBwIfdC4Ok45YbFtdXKWFnKCys50EPoB8gAeWdAMLMphqsYG0xcZpOnKuawh9t5SRuhIL0XHDw8fZ2j8yEgTVwnMEqGtKhq4JqmwFy3jt2/DxEx0oAgakBvngRfR59yADaDQy0s8eKQAlwBT8B8CALxdMFpIS4ABKCooW5WnchmAAgGb+URToAdPxY4KQI7OUBAlApJqVJ1umlAIT5cabOAEsQRAABLksO3s2XBPUJ1EJPI2qKTo0p9ONC3jRiXqIqiGrgLA+3RqvgUdDXg+FBfsV0FiuaI19KSBU55q1bQcqxBP3LV0scrPAxZu27ycDXAD7hAgGcEMFg9UYFtyQcJbFiBsrDhzZgONVef0WyYymgAMTFAfAEfY5z+fRaTyDPp2pdGjUnV2zPiRVM5MDBGzr3r10po0D6rIA7xTwaXDePJAbCXYjAecizj0xl2fAN+/qyocUHxIAdpbunj47xZ59AvnyP1oMQYAkDftPAnhJPC7rfHn76GG0r+OhTO4NjBT+kE9uFDXQwCllQOKdBL4YcEA+DCwIQIEHThKQLxJQJIBn5NHgIIQI5OCHd/nkQ1h7NcmUDX7KsZifCu3kAMADo5mTAxXizBHTBAQsUcB+E+TB3hzJYLBjEksI8IUJCkTiwB9CQsHgWEUyOAeCEwQwDVJC/TSLi9dZ96IGw3zB0wQ0Tjjhfk9KEABEBhQCHgUeGTZNbRS8ad4yDhQwgCgPgLDhBoftOYFWDrwBQHCBUqBVBQIkIOmklHoJgBWYZqqpBQQw4CkDBn7KwD5uamoqphZESumqXp7qqpYkiBrqp6Re+qqpqa7K6gW39gorEAgE0yZdjvLCAIFASikBFRL+fjOBORcIAKQCCQT0y6IAOPAfCdVAC0B0QSrwRFkSRDbBWdqAuZu6Y2LASgUuNfRMtWh6NCxdcP5awQN66HnBvVRcBgC6aOqR5qL+buKAvjNmeNeWK4qpG7vtXgCkm1iY81VbArjSQBQ5nHluZmyVQYZvHy/6J8PLtrXJryXLcbIEZ12MBGSJRfwixX0VwAAWPgP98yBD0xwcrAfwm8dHbSnaEhxLKDBaJRjEyWMkXkrt1tNlwDHGBVbLcUuPTck3UAE7qGaaaNvw7JfbaLHngtxIPTC33YeS21AJHWC5wDgPJWjCIJ/lk8EMdXxGny+D4/FZQHhlhngXZYU2Twf+25lnKSB0qwB3Bp1zjvcIn4M++iehB+GzCkdWLEE6uNDgrQEBSFzBcCMQcsoC6jVUOxqPcKCkAHDQbjsP9MXQIwP5Hs+N0xQIAL3vzo8AuwgJu746HVhemuScUrDzBPPzgC+FE5lGIYD5RnxdrgvrS6jIAjzBtkj90bPfxrags9zuQY64xQMswROBDcFPFygg8CoQFAMK4QFlIcB/FIgG/V0KNhQkQgc0IL0A1Co/BpDfKgIwB7YkTxF6G4TLpDCSapgwC2zRgwHa88IKSsh8NSyCA113gR0SRRBU6MwMDOAFHvjvMRAJIgzBRzsQKNGGvILNE3nYrnvwr2FgOEDZI7QmgYtlcR9eLEIAyrIwF4TRCBZk3xmpiB4+qGI6UrDFudhAAO/AUQhU80bT1JBGO7KRigkQBJ7AsID9DFIKLDskEYhYol8pkgh9rMAj/2ibCPGoLmBQQFkW8KvnFGEAXvSkERYgCFEKIZKOoiR62FIWJ7ChARCRIx0IcEcWoqYB1ePODUWoSuU4AAtJ81HRpOCgZY0uaGqQVAWQmYUDyWFbzATD7ywwTaKdsJd+oUZUypI6JtBAWxDpZhz3IU4iIIARk6ubD29wgCcF4ECjaacT4KlObCIiAgA7\",\"relationship\":null},{\"partUri\":\"/media/image2.gif\",\"contentType\":\"image/gif\",\"content\":\"data:image/gif;base64,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functions 2 (★★★★)","description":null,"description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 291.3px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 145.65px; transform-origin: 407px 145.65px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 205.533px 10.5px; transform-origin: 205.533px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eCompute the following sum for any given x and number of terms n.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 45px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22.5px; text-align: center; transform-origin: 384px 22.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" 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data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 296.392px 10.5px; transform-origin: 296.392px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHere m! denotes the factorial of m, which the product of all natural numbers upto m, for example\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 61.3px; border-bottom-left-radius: 4px; border-bottom-right-radius: 4px; border-end-end-radius: 4px; border-end-start-radius: 4px; border-start-end-radius: 4px; border-start-start-radius: 4px; border-top-left-radius: 4px; border-top-right-radius: 4px; margin-block-end: 10px; margin-block-start: 10px; margin-bottom: 10px; margin-inline-end: 3px; margin-inline-start: 3px; margin-left: 3px; margin-right: 3px; margin-top: 10px; perspective-origin: 404px 30.65px; transform-origin: 404px 30.65px; margin-left: 3px; margin-top: 10px; margin-bottom: 10px; margin-right: 3px; \"\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 50.6px 8.5px; transform-origin: 50.6px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 4.21667px 8.5px; transform-origin: 4.21667px 8.5px; \"\u003e2\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(178, 140, 0); border-block-start-color: rgb(178, 140, 0); border-bottom-color: rgb(178, 140, 0); border-inline-end-color: rgb(178, 140, 0); border-inline-start-color: rgb(178, 140, 0); border-left-color: rgb(178, 140, 0); border-right-color: rgb(178, 140, 0); border-top-color: rgb(178, 140, 0); caret-color: rgb(178, 140, 0); color: rgb(178, 140, 0); column-rule-color: rgb(178, 140, 0); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(178, 140, 0); perspective-origin: 46.3833px 8.5px; text-decoration: none; text-decoration-color: rgb(178, 140, 0); text-emphasis-color: rgb(178, 140, 0); transform-origin: 46.3833px 8.5px; \"\u003e! = 1x2 = 2\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 59.0333px 8.5px; transform-origin: 59.0333px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 4.21667px 8.5px; transform-origin: 4.21667px 8.5px; \"\u003e3\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(178, 140, 0); border-block-start-color: rgb(178, 140, 0); border-bottom-color: rgb(178, 140, 0); border-inline-end-color: rgb(178, 140, 0); border-inline-start-color: rgb(178, 140, 0); border-left-color: rgb(178, 140, 0); border-right-color: rgb(178, 140, 0); border-top-color: rgb(178, 140, 0); caret-color: rgb(178, 140, 0); color: rgb(178, 140, 0); column-rule-color: rgb(178, 140, 0); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(178, 140, 0); perspective-origin: 54.8167px 8.5px; text-decoration: none; text-decoration-color: rgb(178, 140, 0); text-emphasis-color: rgb(178, 140, 0); transform-origin: 54.8167px 8.5px; \"\u003e! = 1x2x3 = 6\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgba(0, 0, 0, 0); block-size: 20.4333px; border-bottom-left-radius: 0px; border-bottom-right-radius: 0px; border-end-end-radius: 0px; border-end-start-radius: 0px; border-inline-end-color: rgb(233, 233, 233); border-inline-end-style: solid; border-inline-end-width: 1px; border-inline-start-color: rgb(233, 233, 233); border-inline-start-style: solid; border-inline-start-width: 1px; border-left-color: rgb(233, 233, 233); border-left-style: solid; border-left-width: 1px; border-right-color: rgb(233, 233, 233); border-right-style: solid; border-right-width: 1px; border-start-end-radius: 0px; border-start-start-radius: 0px; border-top-left-radius: 0px; border-top-right-radius: 0px; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; min-block-size: 18px; min-height: 18px; padding-inline-start: 4px; padding-left: 4px; perspective-origin: 404px 10.2167px; transform-origin: 404px 10.2167px; white-space: nowrap; \"\u003e\u003cspan style=\"block-size: auto; border-inline-end-color: rgb(0, 0, 0); border-inline-end-style: none; border-inline-end-width: 0px; border-inline-start-color: rgb(0, 0, 0); border-inline-start-style: none; border-inline-start-width: 0px; border-left-color: rgb(0, 0, 0); border-left-style: none; border-left-width: 0px; border-right-color: rgb(0, 0, 0); border-right-style: none; border-right-width: 0px; display: inline; margin-inline-end: 45px; margin-right: 45px; min-block-size: 0px; min-height: 0px; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 84.3333px 8.5px; transform-origin: 84.3333px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; perspective-origin: 4.21667px 8.5px; transform-origin: 4.21667px 8.5px; \"\u003e5\u003c/span\u003e\u003cspan style=\"border-block-end-color: rgb(178, 140, 0); border-block-start-color: rgb(178, 140, 0); border-bottom-color: rgb(178, 140, 0); border-inline-end-color: rgb(178, 140, 0); border-inline-start-color: rgb(178, 140, 0); border-left-color: rgb(178, 140, 0); border-right-color: rgb(178, 140, 0); border-top-color: rgb(178, 140, 0); caret-color: rgb(178, 140, 0); color: rgb(178, 140, 0); column-rule-color: rgb(178, 140, 0); margin-inline-end: 0px; margin-right: 0px; outline-color: rgb(178, 140, 0); perspective-origin: 80.1167px 8.5px; text-decoration: none; text-decoration-color: rgb(178, 140, 0); text-emphasis-color: rgb(178, 140, 0); transform-origin: 80.1167px 8.5px; \"\u003e! = 1x2x3x4x5 = 120\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 10px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 10px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 10px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 78.3px 10.5px; transform-origin: 78.3px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf x=1 and n = 4, we have\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 45px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22.5px; text-align: left; transform-origin: 384px 22.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline\" src=\"data:image/gif;base64,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\" data-image-state=\"image-loaded\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 84.4167px 10.5px; transform-origin: 84.4167px 10.5px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAvoid using for/while loops.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = your_fcn_name(x,n)\r\n  y = x;\r\nend","test_suite":"%%\r\nx = 1; n = 4;\r\ny_correct = 4241/5040;\r\nassert(isequal(your_fcn_name(x,n),y_correct))\r\n%%\r\nx = 0.5; n = 2;\r\ny_correct = 23/48;\r\nassert(isequal(your_fcn_name(x,n),y_correct))\r\n%%\r\nfiletext = fileread('your_fcn_name.m');\r\nassert(isempty(strfind(filetext, 'for')),'for forbidden')\r\nassert(isempty(strfind(filetext, 'while')),'while forbidden')\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":428668,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":29,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2020-10-17T01:46:42.000Z","updated_at":"2026-04-05T02:31:17.000Z","published_at":"2020-10-17T01:46:42.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eCompute the following sum for any given x and number of terms n.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"center\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"41\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"368\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eHere m! denotes the factorial of m, which the product of all natural numbers upto m, for example\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"code\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e\u003c![CDATA[2! = 1x2 = 2\\n3! = 1x2x3 = 6\\n5! = 1x2x3x4x5 = 120]]\u003e\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eIf x=1 and n = 4, we have\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"-1\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" w:val=\\\"rId2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003c/w:customXml\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eAvoid using for/while 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