{"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":55230,"title":"Find Closest Constant","description":"Given a number x, return the value that is closest to x from this list of constants: 0, 1, , e, ,  (also known as ).\r\nFor example:\r\nc = closestconst(1.5)\r\nc =\r\n    1.4142\r\nc = closestconst(2.5)\r\nc =\r\n    2.7183\r\nc = closestconst(50)\r\nc =\r\n    6.2832\r\nc = closestconst(-10)\r\nc =\r\n     0     \r\nIf x is equally close to two values (eg ), you can return either value (so either 1 or  would be correct in this example).","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: 374.2px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 187.1px; transform-origin: 407px 187.1px; 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: 267.5px 8px; transform-origin: 267.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a number x, return the value that is closest to x from this list of constants: 0, 1, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" 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margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eπ\u003c/span\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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACcAAAAkCAYAAAAKNyObAAACXElEQVRYR+1WPSiFURh2dxYbiYGBMihhkEVitCFJd8MggygyGSgymPyUxSCUQaQYbKSsioGVCYud59F59brO+e65L0r5Tj19957vnPM+53nf85wvU/SHW+YPcytKyVmzkyr3L5Ubxq6zQIvb/Que58AMcGlVJHZeqOZKscCRIuVbrw+dO7GBLONC5NawWL8juOEWbsRzFChTgZp/U0EfuSYEPAUmgFXPjo/R1+n6d/HstagSM8dHTlIVClqNhW/d4g94lscEsozxkbvGQoN50sUxtQAPSIklcMwcqwlfYHGe4BugLiaQZYyVnCi3jqBDgcBM/xzQBuhDFOLZhRcn+qWFHG3m0aW0PZB++uNKAWqxduuBp++Sk8Ah1fh+DFgGnoFtgMGzLnAHnnQCnnSxKb76pBo7LMrduyBfdop+qkrFpoE7QDaiLYdu0AOMAD6r+hCvUHILmDkAdAMx1xc3wnqTetIlUZWbRp3SQpWj8e65lCTu2AXheBq2ridRkikk4cQWqxxvjX1gNl8qVDRJn06pWBDTPv8T5CzEJH2ML7Wlb5YaV5PfUi6GGIl8sgD8Z23yRPIGkdqSPhp3q5tDwjzRufPfSSellUHPgM08KWBdLQFiBfLhUIw+bTe5twrXvwJ8pz6RnBDjIHpWqI3jRSXAK0xshDbBRtW0Sb+qRRbxm6f+AAjdMF7lhBgv9pgmxT2FwbyupJHApPovtiJdOr3eOKGvklhiVKcBoOGyfg6BCmALIFldS7QREma6eYLFqIMCxFpJjII/PiYlZ5U0VS5VzqqAdV5ac1bl3gACfHkld0J8dQAAAABJRU5ErkJggg==\" style=\"width: 19.5px; height: 18px;\" width=\"19.5\" height=\"18\"\u003e\u003c/span\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: 51px 8px; transform-origin: 51px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (also known as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eτ\u003c/span\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: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e).\u003c/span\u003e\u003c/span\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: 41px 8px; transform-origin: 41px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 245.2px; 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 122.6px; transform-origin: 404px 122.6px; 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: 84px 8.5px; tab-size: 4; transform-origin: 84px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec = closestconst(1.5)\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: 12px 8.5px; tab-size: 4; transform-origin: 12px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec =\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: 40px 8.5px; tab-size: 4; transform-origin: 40px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e    1.4142\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: 84px 8.5px; tab-size: 4; transform-origin: 84px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec = closestconst(2.5)\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: 12px 8.5px; tab-size: 4; transform-origin: 12px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec =\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: 40px 8.5px; tab-size: 4; transform-origin: 40px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e    2.7183\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: 80px 8.5px; tab-size: 4; transform-origin: 80px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec = closestconst(50)\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: 12px 8.5px; tab-size: 4; transform-origin: 12px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec =\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: 40px 8.5px; tab-size: 4; transform-origin: 40px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e    6.2832\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: 84px 8.5px; tab-size: 4; transform-origin: 84px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec = closestconst(-10)\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: 12px 8.5px; tab-size: 4; transform-origin: 12px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec =\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: 44px 8.5px; tab-size: 4; transform-origin: 44px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     0     \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 58px; 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 29px; text-align: left; transform-origin: 384px 29px; 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: 116px 8px; transform-origin: 116px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf x is equally close to two values (eg \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 73.5px; height: 37px;\" width=\"73.5\" height=\"37\"\u003e\u003c/span\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: 140px 8px; transform-origin: 140px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e), you can return either value (so either 1 or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 23px; height: 20px;\" width=\"23\" height=\"20\"\u003e\u003c/span\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: 76.5px 8px; transform-origin: 76.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e would be correct in this example).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function cc = closestconst(x)\r\ncc = x;\r\nend","test_suite":"%%\r\nassert( closestconst(-rand) == 0 )\r\n%%\r\nc = closestconst(8 + rand);\r\nassert( abs(c - 2*pi) \u003c 1e-14 )\r\n%%\r\nc = closestconst(2.5);\r\nassert( abs(c - exp(1)) \u003c 1e-14 )\r\n%%\r\nc = closestconst(0.5);\r\nassert( (c == 0) || (c == 1) )\r\n%%\r\nc = closestconst(2.75);\r\nassert( abs(c - exp(1)) \u003c 1e-14 )\r\n%\r\nc = closestconst(3.6997);\r\nassert( abs(c - pi) \u003c 1e-14 )\r\n%%\r\nc = closestconst(1.1597);\r\nassert( c == 1 )\r\n%%\r\nc = closestconst(0.4597);\r\nassert( c == 0 )\r\n%%\r\nc = closestconst(1.8408);\r\nassert( abs(c - sqrt(2)) \u003c 1e-14 )","published":true,"deleted":false,"likes_count":9,"comments_count":1,"created_by":140016,"edited_by":223089,"edited_at":"2023-02-03T17:56:11.000Z","deleted_by":null,"deleted_at":null,"solvers_count":664,"test_suite_updated_at":"2023-02-03T17:56:11.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-07-28T14:36:50.000Z","updated_at":"2026-03-31T09:20:02.000Z","published_at":"2022-10-03T14:09:13.000Z","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\u003eGiven a number x, return the value that is closest to x from this list of constants: 0, 1, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\sqrt{2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ee\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2\\\\pi\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (also known as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\tau\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\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\u003eFor 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[c = closestconst(1.5)\\nc =\\n    1.4142\\nc = closestconst(2.5)\\nc =\\n    2.7183\\nc = closestconst(50)\\nc =\\n    6.2832\\nc = closestconst(-10)\\nc =\\n     0     ]]\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 is equally close to two values (eg \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = \\\\frac{1+\\\\sqrt{2}}{2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e), you can return either value (so either 1 or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\sqrt{2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e would be correct in this example).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":2441,"title":"Bernoulli's Equation","description":"Bernoulli's equation states that for an incompressible fluid the following summation is constant across the flow: v^2/2 + g*z + P/rho, where v = fluid velocity, g = gravitational constant, z = elevation, P = pressure, and rho = density (constant throughout the fluid due to incompressible nature). The values of v, z, and P change at points along the flow whereas values for g and rho are assumed constant.\r\n\r\nAssuming all units are congruent, fill in the holes (zero values) in the given matrix of v, z, and P values, in three respective rows for n measured points (3 x n matrix). Use g = 9.81. Rho will be given for each test case. The input matrix will contain one complete set of values to calculate the constant. The completed matrix will not contain any zeros (or very small numbers).\r\n","description_html":"\u003cp\u003eBernoulli's equation states that for an incompressible fluid the following summation is constant across the flow: v^2/2 + g*z + P/rho, where v = fluid velocity, g = gravitational constant, z = elevation, P = pressure, and rho = density (constant throughout the fluid due to incompressible nature). The values of v, z, and P change at points along the flow whereas values for g and rho are assumed constant.\u003c/p\u003e\u003cp\u003eAssuming all units are congruent, fill in the holes (zero values) in the given matrix of v, z, and P values, in three respective rows for n measured points (3 x n matrix). Use g = 9.81. Rho will be given for each test case. The input matrix will contain one complete set of values to calculate the constant. The completed matrix will not contain any zeros (or very small numbers).\u003c/p\u003e","function_template":"function out = Bernoulli_eq(in,rho)\r\n out = in;\r\nend","test_suite":"%%\r\nin = [1 0.6 0.8 1 1; 1 1.1 1.2 1.3 1.4; 10 0 0 0 0];\r\nrho = 1.0;\r\nout = [1 0.6 0.8 1 1; 1 1.1 1.2 1.3 1.4; 10 9.339 8.218 7.057 6.0760];\r\neps = 1e-3;\r\nassert(sum(sum(abs(Bernoulli_eq(in,rho)-out))) \u003c eps)\r\n\r\n%%\r\nin = [1 0.6 0.8 1 1; 0 0 1 0 0; 10 12 10 14 8];\r\nrho = 1.5;\r\nout = [1 0.6 0.8 1 1; 0.9817 0.8784 1 0.7098 1.1176; 10 12 10 14 8];\r\neps = 1e-3;\r\nassert(sum(sum(abs(Bernoulli_eq(in,rho)-out))) \u003c eps)\r\n\r\n%%\r\nin = [0 0 0 1 0; 1 1.1 1.2 1.3 1.4; 10 12 10 14 8];\r\nrho = 0.75;\r\nout = [4.1896 3.2027 3.6917 1 3.8779; 1 1.1 1.2 1.3 1.4; 10 12 10 14 8];\r\neps = 1e-3;\r\nassert(sum(sum(abs(Bernoulli_eq(in,rho)-out))) \u003c eps)\r\n\r\n%%\r\nin = [1 1.6 0.8 1 1 0 0 1 1 1.2; 1 1.6 0 1.3 0 1.9 1.8 1.7 0 1.8; 0 12 5 0 8 7.5 7.7 0 11.1 0];\r\nrho = 0.97;\r\nout = [1 1.6 0.8 1 1 2.4397 2.7390 1 1 1.2; 1 1.6 2.4335 1.3 2.0999 1.9 1.8 1.7 1.7741 1.8; 18.466 12 5 15.6113 8 7.5 7.7 11.805 11.1 10.6401];\r\neps = 1e-3;\r\nassert(sum(sum(abs(Bernoulli_eq(in,rho)-out))) \u003c eps)","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":26769,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":57,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2014-07-16T17:48:45.000Z","updated_at":"2026-01-31T12:50:33.000Z","published_at":"2014-07-16T17:48:45.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBernoulli's equation states that for an incompressible fluid the following summation is constant across the flow: v^2/2 + g*z + P/rho, where v = fluid velocity, g = gravitational constant, z = elevation, P = pressure, and rho = density (constant throughout the fluid due to incompressible nature). The values of v, z, and P change at points along the flow whereas values for g and rho are assumed constant.\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\u003eAssuming all units are congruent, fill in the holes (zero values) in the given matrix of v, z, and P values, in three respective rows for n measured points (3 x n matrix). Use g = 9.81. Rho will be given for each test case. The input matrix will contain one complete set of values to calculate the constant. The completed matrix will not contain any zeros (or very small numbers).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\"},{\"partUri\":\"/matlab/output.xml\",\"contentType\":\"text/xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\" standalone=\\\"no\\\" ?\u003e\u003cembeddedOutputs\u003e\u003cmetaData\u003e\u003cevaluationState\u003emanual\u003c/evaluationState\u003e\u003clayoutState\u003ecode\u003c/layoutState\u003e\u003coutputStatus\u003eready\u003c/outputStatus\u003e\u003c/metaData\u003e\u003coutputArray type=\\\"array\\\"/\u003e\u003cregionArray type=\\\"array\\\"/\u003e\u003c/embeddedOutputs\u003e\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":55230,"title":"Find Closest Constant","description":"Given a number x, return the value that is closest to x from this list of constants: 0, 1, , e, ,  (also known as ).\r\nFor example:\r\nc = closestconst(1.5)\r\nc =\r\n    1.4142\r\nc = closestconst(2.5)\r\nc =\r\n    2.7183\r\nc = closestconst(50)\r\nc =\r\n    6.2832\r\nc = closestconst(-10)\r\nc =\r\n     0     \r\nIf x is equally close to two values (eg ), you can return either value (so either 1 or  would be correct in this example).","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: 374.2px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 187.1px; transform-origin: 407px 187.1px; 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: 267.5px 8px; transform-origin: 267.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eGiven a number x, return the value that is closest to x from this list of constants: 0, 1, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 23px; height: 20px;\" width=\"23\" height=\"20\"\u003e\u003c/span\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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003ee\u003c/span\u003e\u003c/span\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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eπ\u003c/span\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: 4px 8px; transform-origin: 4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 19.5px; height: 18px;\" width=\"19.5\" height=\"18\"\u003e\u003c/span\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: 51px 8px; transform-origin: 51px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e (also known as \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"font-family: \u0026quot;STIXGeneral\u0026quot;, \u0026quot;STIXGeneral-webfont\u0026quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);\"\u003eτ\u003c/span\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: 4.5px 8px; transform-origin: 4.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e).\u003c/span\u003e\u003c/span\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: 41px 8px; transform-origin: 41px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor example:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"background-color: rgb(247, 247, 247); block-size: 245.2px; 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 122.6px; transform-origin: 404px 122.6px; 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: 84px 8.5px; tab-size: 4; transform-origin: 84px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec = closestconst(1.5)\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: 12px 8.5px; tab-size: 4; transform-origin: 12px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec =\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: 40px 8.5px; tab-size: 4; transform-origin: 40px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e    1.4142\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: 84px 8.5px; tab-size: 4; transform-origin: 84px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec = closestconst(2.5)\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: 12px 8.5px; tab-size: 4; transform-origin: 12px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec =\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: 40px 8.5px; tab-size: 4; transform-origin: 40px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e    2.7183\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: 80px 8.5px; tab-size: 4; transform-origin: 80px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec = closestconst(50)\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: 12px 8.5px; tab-size: 4; transform-origin: 12px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec =\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: 40px 8.5px; tab-size: 4; transform-origin: 40px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e    6.2832\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: 84px 8.5px; tab-size: 4; transform-origin: 84px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec = closestconst(-10)\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: 12px 8.5px; tab-size: 4; transform-origin: 12px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003ec =\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: 44px 8.5px; tab-size: 4; transform-origin: 44px 8.5px; unicode-bidi: normal; white-space: pre; margin-right: 45px; \"\u003e\u003cspan style=\"margin-inline-end: 0px; margin-right: 0px; \"\u003e     0     \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 58px; 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 29px; text-align: left; transform-origin: 384px 29px; 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: 116px 8px; transform-origin: 116px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eIf x is equally close to two values (eg \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 73.5px; height: 37px;\" width=\"73.5\" height=\"37\"\u003e\u003c/span\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: 140px 8px; transform-origin: 140px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e), you can return either value (so either 1 or \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" style=\"width: 23px; height: 20px;\" width=\"23\" height=\"20\"\u003e\u003c/span\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: 76.5px 8px; transform-origin: 76.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e would be correct in this example).\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function cc = closestconst(x)\r\ncc = x;\r\nend","test_suite":"%%\r\nassert( closestconst(-rand) == 0 )\r\n%%\r\nc = closestconst(8 + rand);\r\nassert( abs(c - 2*pi) \u003c 1e-14 )\r\n%%\r\nc = closestconst(2.5);\r\nassert( abs(c - exp(1)) \u003c 1e-14 )\r\n%%\r\nc = closestconst(0.5);\r\nassert( (c == 0) || (c == 1) )\r\n%%\r\nc = closestconst(2.75);\r\nassert( abs(c - exp(1)) \u003c 1e-14 )\r\n%\r\nc = closestconst(3.6997);\r\nassert( abs(c - pi) \u003c 1e-14 )\r\n%%\r\nc = closestconst(1.1597);\r\nassert( c == 1 )\r\n%%\r\nc = closestconst(0.4597);\r\nassert( c == 0 )\r\n%%\r\nc = closestconst(1.8408);\r\nassert( abs(c - sqrt(2)) \u003c 1e-14 )","published":true,"deleted":false,"likes_count":9,"comments_count":1,"created_by":140016,"edited_by":223089,"edited_at":"2023-02-03T17:56:11.000Z","deleted_by":null,"deleted_at":null,"solvers_count":664,"test_suite_updated_at":"2023-02-03T17:56:11.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-07-28T14:36:50.000Z","updated_at":"2026-03-31T09:20:02.000Z","published_at":"2022-10-03T14:09:13.000Z","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\u003eGiven a number x, return the value that is closest to x from this list of constants: 0, 1, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\sqrt{2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ee\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\pi\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e2\\\\pi\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e (also known as \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\tau\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\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\u003eFor 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[c = closestconst(1.5)\\nc =\\n    1.4142\\nc = closestconst(2.5)\\nc =\\n    2.7183\\nc = closestconst(50)\\nc =\\n    6.2832\\nc = closestconst(-10)\\nc =\\n     0     ]]\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 is equally close to two values (eg \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ex = \\\\frac{1+\\\\sqrt{2}}{2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e), you can return either value (so either 1 or \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"false\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\sqrt{2}\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e would be correct in this example).\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"},{"id":2441,"title":"Bernoulli's Equation","description":"Bernoulli's equation states that for an incompressible fluid the following summation is constant across the flow: v^2/2 + g*z + P/rho, where v = fluid velocity, g = gravitational constant, z = elevation, P = pressure, and rho = density (constant throughout the fluid due to incompressible nature). The values of v, z, and P change at points along the flow whereas values for g and rho are assumed constant.\r\n\r\nAssuming all units are congruent, fill in the holes (zero values) in the given matrix of v, z, and P values, in three respective rows for n measured points (3 x n matrix). Use g = 9.81. Rho will be given for each test case. The input matrix will contain one complete set of values to calculate the constant. The completed matrix will not contain any zeros (or very small numbers).\r\n","description_html":"\u003cp\u003eBernoulli's equation states that for an incompressible fluid the following summation is constant across the flow: v^2/2 + g*z + P/rho, where v = fluid velocity, g = gravitational constant, z = elevation, P = pressure, and rho = density (constant throughout the fluid due to incompressible nature). The values of v, z, and P change at points along the flow whereas values for g and rho are assumed constant.\u003c/p\u003e\u003cp\u003eAssuming all units are congruent, fill in the holes (zero values) in the given matrix of v, z, and P values, in three respective rows for n measured points (3 x n matrix). Use g = 9.81. Rho will be given for each test case. The input matrix will contain one complete set of values to calculate the constant. The completed matrix will not contain any zeros (or very small numbers).\u003c/p\u003e","function_template":"function out = Bernoulli_eq(in,rho)\r\n out = in;\r\nend","test_suite":"%%\r\nin = [1 0.6 0.8 1 1; 1 1.1 1.2 1.3 1.4; 10 0 0 0 0];\r\nrho = 1.0;\r\nout = [1 0.6 0.8 1 1; 1 1.1 1.2 1.3 1.4; 10 9.339 8.218 7.057 6.0760];\r\neps = 1e-3;\r\nassert(sum(sum(abs(Bernoulli_eq(in,rho)-out))) \u003c eps)\r\n\r\n%%\r\nin = [1 0.6 0.8 1 1; 0 0 1 0 0; 10 12 10 14 8];\r\nrho = 1.5;\r\nout = [1 0.6 0.8 1 1; 0.9817 0.8784 1 0.7098 1.1176; 10 12 10 14 8];\r\neps = 1e-3;\r\nassert(sum(sum(abs(Bernoulli_eq(in,rho)-out))) \u003c eps)\r\n\r\n%%\r\nin = [0 0 0 1 0; 1 1.1 1.2 1.3 1.4; 10 12 10 14 8];\r\nrho = 0.75;\r\nout = [4.1896 3.2027 3.6917 1 3.8779; 1 1.1 1.2 1.3 1.4; 10 12 10 14 8];\r\neps = 1e-3;\r\nassert(sum(sum(abs(Bernoulli_eq(in,rho)-out))) \u003c eps)\r\n\r\n%%\r\nin = [1 1.6 0.8 1 1 0 0 1 1 1.2; 1 1.6 0 1.3 0 1.9 1.8 1.7 0 1.8; 0 12 5 0 8 7.5 7.7 0 11.1 0];\r\nrho = 0.97;\r\nout = [1 1.6 0.8 1 1 2.4397 2.7390 1 1 1.2; 1 1.6 2.4335 1.3 2.0999 1.9 1.8 1.7 1.7741 1.8; 18.466 12 5 15.6113 8 7.5 7.7 11.805 11.1 10.6401];\r\neps = 1e-3;\r\nassert(sum(sum(abs(Bernoulli_eq(in,rho)-out))) \u003c eps)","published":true,"deleted":false,"likes_count":3,"comments_count":1,"created_by":26769,"edited_by":null,"edited_at":null,"deleted_by":null,"deleted_at":null,"solvers_count":57,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2014-07-16T17:48:45.000Z","updated_at":"2026-01-31T12:50:33.000Z","published_at":"2014-07-16T17:48:45.000Z","restored_at":null,"restored_by":null,"spam":false,"simulink":false,"admin_reviewed":false,"description_opc":"{\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"relationshipId\":\"rId1\",\"target\":\"/matlab/document.xml\"},{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/output\",\"relationshipId\":\"rId2\",\"target\":\"/matlab/output.xml\"}],\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"relationship\":[],\"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\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eBernoulli's equation states that for an incompressible fluid the following summation is constant across the flow: v^2/2 + g*z + P/rho, where v = fluid velocity, g = gravitational constant, z = elevation, P = pressure, and rho = density (constant throughout the fluid due to incompressible nature). The values of v, z, and P change at points along the flow whereas values for g and rho are assumed constant.\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\u003eAssuming all units are congruent, fill in the holes (zero values) in the given matrix of v, z, and P values, in three respective rows for n measured points (3 x n matrix). Use g = 9.81. Rho will be given for each test case. The input matrix will contain one complete set of values to calculate the constant. 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