{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-16T00:12:35.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-16T00:00:00.000Z","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":61183,"title":"Estimate brake line pressure required for a given force.","description":"Hydraulic braking systems amplify pedal input to generate braking force. Given braking force and piston area, compute the hydraulic pressure required inside the brake lines.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 383px 21px; text-align: left; transform-origin: 383px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHydraulic braking systems amplify pedal input to generate braking force. Given braking force and piston area, compute the hydraulic pressure required inside the brake lines.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function P = brakePressure(F,A)\r\nP = 0;\r\nend\r\n","test_suite":"%%\r\nF = 4000; A = 0.004;\r\nP_correct = 1e6;\r\nassert(abs(brakePressure(F,A)-P_correct) \u003c 1)\r\n\r\n%%\r\nF = 3000; A = 0.003;\r\nP_correct = 1e6;\r\nassert(abs(brakePressure(F,A)-P_correct) \u003c 1)\r\n\r\n%%\r\nF = 0; A = 0.005;\r\nP_correct = 0;\r\nassert(isequal(brakePressure(F,A),P_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":2305225,"edited_by":2305225,"edited_at":"2026-02-02T06:25:47.000Z","deleted_by":null,"deleted_at":null,"solvers_count":52,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-02-02T06:25:43.000Z","updated_at":"2026-04-20T17:53:16.000Z","published_at":"2026-02-02T06:25:47.000Z","restored_at":null,"restored_by":null,"spam":null,"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\u003eHydraulic braking systems amplify pedal input to generate braking force. Given braking force and piston area, compute the hydraulic pressure required inside the brake lines.\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":58314,"title":"Compute the normal depth of a channel","description":"For steady uniform flow in a channel of constant cross section and slope, the depth does not change with distance or time. In this state, the component of the fluid’s weight down the slope is balanced by the friction from the wetted perimeter $P$, the portion of the perimeter touched by the fluid. \r\nAs described in Cody Problem 57969, the normal depth, or depth of flow in this state, can by computed from Manning’s equation for the discharge (or flow) ):\r\n\r\nwhere  is Manning’s roughness coefficient,  is the hydraulic radius,  is the slope of the channel, and  is the cross-sectional area of the flow. The coefficient  is 1 for SI units and 1.49 for U.S. customary units.\r\nWrite a function to compute the normal depth of a channel. The unit system will be specified in units as either ‘SI’ or ‘USCS’ (U.S. customary system). The geometry of the channel’s cross section will be specified by a structure channelStruct with the following fields and possible values:\r\n\r\nThe side slope is the horizontal distance divided by the vertical distance; for example, a side slope of 1.5 would mean the bank rises 1 m for every 1.5 m in the horizontal direction. \r\n\r\n","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: 850.2px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 425.1px; transform-origin: 407px 425.1px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 380.017px 8px; transform-origin: 380.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor steady uniform flow in a channel of constant cross section and slope, the depth does not change with distance or time. In this state, the component of the fluid’s weight down the slope is balanced by the friction from the wetted perimeter $P$, the portion of the perimeter touched by the fluid. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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: 49.7917px 8px; transform-origin: 49.7917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs described in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/57969\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eCody Problem 57969\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 15.55px 8px; transform-origin: 15.55px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the \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: 40.85px 8px; transform-origin: 40.85px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003enormal depth\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: 197.833px 8px; transform-origin: 197.833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or depth of flow in this state, can by computed from Manning’s equation for the discharge (or flow) \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);\"\u003eQ\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: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; 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 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = (C/n) R^(2/3) S0^(1/2) A\" style=\"width: 105.5px; height: 35px;\" width=\"105.5\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; 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 21.5px; text-align: left; transform-origin: 384px 21.5px; 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: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \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);\"\u003en\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: 112.55px 8px; transform-origin: 112.55px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is Manning’s roughness coefficient, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"R = A/P\" style=\"width: 59px; height: 18.5px;\" width=\"59\" height=\"18.5\"\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: 73.5167px 8px; transform-origin: 73.5167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the hydraulic radius, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"S0\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" 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: 85.1833px 8px; transform-origin: 85.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the slope of the channel,\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: 1.94167px 8px; transform-origin: 1.94167px 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: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand \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);\"\u003eA\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: 20.6083px 8px; transform-origin: 20.6083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the cross-sectional area of the flow. The coefficient \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);\"\u003eC\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: 155.942px 8px; transform-origin: 155.942px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is 1 for SI units and 1.49 for U.S. customary units.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 383px 8px; transform-origin: 383px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the normal depth of a channel. The unit system will be specified in units as either ‘SI’ or ‘USCS’ (U.S. customary system). The geometry of the channel’s cross section will be specified by a structure \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: 50.05px 8px; transform-origin: 50.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003echannelStruct\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: 16.3333px 8px; transform-origin: 16.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e with the following fields and possible values:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 129.7px; 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 64.85px; text-align: left; transform-origin: 384px 64.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 435px;height: 124px\" 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\" data-image-state=\"image-loaded\" width=\"435\" height=\"124\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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: 376.15px 8px; transform-origin: 376.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe side slope is the horizontal distance divided by the vertical distance; for example, a side slope of 1.5 would mean the bank rises 1 m for every 1.5 m in the horizontal direction. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 339.7px; 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 169.85px; text-align: left; transform-origin: 384px 169.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 725px;height: 334px\" 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wVuPjTBHY2p4odbCL9cWoO/yaaUtRg8AQK7RDTNlgkcFuDQs8ZqSMgJcAAAAGSwrMrmClNV14IXFbqshBcH6TVhnCgoa1/KCMePn1g7vfPrhOXxGAICccfr4blO2pSSynqfqfxZPWRd5Iw0AAACZJeuCXEJntWUe+d8vmUNHT5q/WjjZtQAAkN0OvbrcZnBF6Tdsnp3sBgCCpi38mTl8pMJttV7/fvmUCgGANpKVQS4vVcdVBeufP/u35v/9xS673bVHL3OuqjIn1v2ye88CO5Nil67dTZfzutl9/FI+/eRsg/2bOi7rrLPOOuusJ2096KuX/1cztvf/seuaxZkbYgCi/PVPnzFbX6sw553Xve53SkuXKhdyRUGVWf93jSfTAgA0X1YHuSRVAdnnTn7f/J8DMxoEdtB8Cob5z5B11llnnXXWk7QeNPXifzCzR79vM76V+Q2g9XauznNrta6+fVfiJ4TSDKxTv7ne9L50pGtpudNH3jL/zw9vM8OKL3ItAOK8uqawwWRz2fD7BG0vKwrPp6ICsSoUq4KxYedOH6nr6KLlgp8h67VYr8V6LdZrsV6L9VqZsh58DBz0RZvBRYALaDualTTbqHbtdSOvsCMiWkOvv7z/ZwhwAS102lzi1oB6WZ/JFVR5+EXzzsYZDaK/nv4Aq2NLJBgAgOyj2ZbLtpaYs6cOuZZ6uiE29JZnCW4B7SBbMy/2lH1k/uTex1uVzfVxxYfmR9+41kwaP9i1AEglnBk6dkHOhDLQDFmfyRXUq/91ZtS8cltINkzDGd96bISt4wUAALKHJqN5+6lJkQGuy8cvMyNmv0KAC2gnPfuNcmu1okqIJJGyr1qTzaXX9co7RoALANpYTgW5PM2UFDccQYXqdz0+2s7QCAAAkkt1OV//x0vNsb3rXUs9ZW8Nvr08spwBgLbzSVXDIFDXmv531dlzbivZbpsywlSf+7hRfb90qOD8N/74824LQFNUCy+Im1OIk5NBLtGMScrq0iyLYeoU794wwRzds8a1AACAJPE3raKytxTYUvaW6uoAaF/dQzW5zp05bnp06+q2kk1ZWBd0OWFnSWyOc2dOmTMnD5uvTLvWtQBoSs/zWpY1idyTs0EuTzMoDbhhRaNIsGoH7Ns237wbU8MLAABkHp+9FVV+QPU3FdzSEEUAHaNrj4Z97DNZMlzRu+frN9msrOY4W3XSfO9rf+C2AKTj009Ou7Va2TipBdpGzge55KLPLjJDb/+dyb/sJtdS78TBTbZgZtRQBwAAkDkU2IrL3lI9Ts22rGGKANBWlM2VV/VRs2pzKYvri18Y4LYApCNcz++8UAAd8AhyOT179jRDZz4be3dXRWv1IKsLAIDMojqaCm5piGKYMrVVh1P1OAF0vK4XNJziPxv70n96y6i0s7k0o+ItE4cyXBoA2glBrhDV6dDUxlF3epXN9cbaYpvdBQAAOt9Hv11pZ0fWMMUw1d1U/U3V4QTQ8VRg/rzuvd1WrXMfH3Zr2ePOL4+32Vnp0H5//tUxbgtAS3ULBdABjyBXhPMLhsfW7NDdJ9XpOvDCYtcCAAA6mmZZivt7rOwt1dzUA0DnUYH5XJkBbfr1V9ksrVQ0pHHUsEvI4gJaIFzPr0vX890a0BBBrhT87EtRRe1051iFbaPuHAMAgPaj2Y/3PlYYmVmtrK2iWWWRsycD6HzZWvrj3gU32Sytc2c/di2NfXzioPnOn17vtgC0Rq4E0NF8BLmaoGGLKlSrgFeYCtvG1QABAABtS1+OVR9Tsx+HqbNbNPFRW3+LLAkgc+RKcWhlrSlL69OzVa6lIWVxDbqiwAwrvsi1AGiOMyf3u7VaXS/ob4dEA2EEudKkoYvK6oqKGPvZnMjqAgCgfShrS3Uxo2Y71g2p4bO2m77D5rkWAJlAX0B7XNhwRER4hrRsoiytT0/9zm3V+/STs7Yw/cIvf961AGiOqPp+ouAyEEaQqxnUiR56++8ih0AowKVAlwJeAACg7Sh7S/W3ooY5+ZtQqqcJILPoC+i50M/tJ1XZO1O5srRGDLrYZm0FnauqNL3yjplJ4we7FgDNod8lVSf2uK1aDFdEHIJczdSzZ09byFbDIaJ+sDR0UcEuTWcOAABaTjeQ3lwXnb2lepmaDTmqnACAzFGdf51bq5XNmVxSMmNkg2wun8X1jT8miwtojfDvju4RdbMBIcjVQipsq6yuqGnJ1SnfvWGCLU4PAACa59SpU3bWRN00ivpCrMCW6mWSvQVkvnCNPGVkVlRG163KBsrW6nn+eQ2yufKqPjJfmXat2wLQEqeONCwNFDU5HCAEuVpBWV3K6Bpww4pGWV36A64OuoZXaJpzAADQNGVCl/7i6sgbRerQamiihigCSA6V/Aj69Nizbi073fP1m0yXTyttFlfVqXJz5+xx7hkALaGaXOGSBdzoQhyCXG3gos8ustOVh/+Aiwrlxk1zDgAA6qmu5VuPjYjM3uo3bJ4Z8uV3Iv/WAshs4S+jZ7J8yKKyuSorjtl1ZXHdeuMguw6gZc4d2+HWatEXQCoEudqIUrFT3V1WRpcK52oIBgAAqKfsLQ1NVF3LMGVKK2t64MRHmUUJSKgL+n7OrdUKF5DORt/72h+Yig93m0njBzUasgmgeapONgyMn9eDnynEI8jVxlQnRIVwo6LLKpz79mOXk9UFAICjYYnK3lI9yzBlb42446PI+pcAkiNcIDrbi8/LrZM/a3p062Lumf8HrgVAS5368NdurdaFl050a0BjedU13DramIZdRN2VFgXDCq/5K1vXCwCAXKN6lR++cJupeP8511JP2VvKjFY5AADJpyC2sjVl7Z6/MK9+cotdDzpXVWm69uiVFcvuPQvMubMfm67dLqhbiorR6zkt0z0WS5a5vgxbMmSuGX3z/abvsHmuBWiIIFc70x/10qdvi7xjpQK6g6Y+wZhiAEBOObpnjdm3bb7bMua+/2XMD75Wu55/2U3misn/yk0gIIuoaPSbj3az688c+b/MM0f/L1uUPUqX87rZ5zJ52Z7SPQeWLLN9GebbFxX/hfmjOQ+bXv2vc88ADRHk6iDK6FJmVxRldTFTFAAg26ku5eHtX7fD94PGLTRmxypjZysmewvITq+uKbSzowWDXMEvtQCQig98KZNr4vyXTbeel9htIIwgVwdSLS4Vnw9PfyrK5iqeso6pUAEAWUmBrfe232XOnjrkWuopyFX1+7JGdXsAZA9NwhSsS6sJJai3B6ApmpxGtTs9lTQYNa/cbQGNUXi+A+kPuQroqpBumIY16oc3roYXAABJtX/bfHuTJyrA5TOZCXAB2e2CUHmOjyMmmwCAsHDZn579KPWD1AhydTBNf65p0HX3KoqGNKowp4Z0AACQZMraeHNdsTmyZ41rqae6lJqNWEP2AWS/7hcOdGu1Pj76mlsDgHhnQkEu9R+AVAhydRJldV0z/6wtsBtmZ6D5x152WnUAAJJGN2qUmazhSVETryiwdU1JGUP0gRwSztbUECQAaMqpj37t1mr1vOgLbg2IRpCrEymra+jMZ20trigHXlhs3n5qElldAIDE0I2a/Ruvj5xsRXdfR8x+hclWgBxUnd9wJjT9rgCAplS8/5xbq0V5AzSFIFcG6DN4js3qUvH5MP1Qv/3Y5Y1mogIAINPUDbmP+PKqv3WDvvRW5N86ANmvoKDAFowOChaiB4AwZXyGM8LDAXMgjCBXhlBWV9zdbc3GqIK9epDVBQDINOqEKrgVNXmKvtT6rOWePXu6VgC5qLB4llurRfF5AKmEb5opI1wBcyAVglwZRnVKBt9eHnmnW9lcqtUVTtkEAKCzqH6kZgeOyt5S/cmht/8usv4kgNyTf8U0t1arfO8/uzUAaOzEvl+4tVqFg+e4NSAeQa4MpOi0srriZpxSnS7dLSerCwDQWZS9pb9Hqh8ZpuwtZW5pJmGytwB44Zu41OUCkErlhy+6tVoX9P2cWwPiEeTKYBq6qGBX1DSpqntS+ouryeoCAHQ4ZRbv3jAh8m+QsreKZpXZGlwdraKyyixdutTk5eWZ6dOnu1YAmUIzqob7tdTlAhAlqh5XZ/QtkDwEuTKc7nhpmvWLPrvItdTTD73uokfNYAUAQFtTBrGvEal6kWG6OaPsrc6ol1FWVmYmTbzeLFvGzI1AJisooi4XgKaFMz0pfYB0EeRKiAE3rLCFe8Oz0oiGLsbNZgUAQFtQ9lbcbL+6IXP17btih9m3t5UrV5pBgwaZnTt3mgULFrhWAJmIulwA0hGux9XrYmZVRHoIciWIotcj7vgoMk1TAS4FusjqAgC0JWVv6WZKquwtDa3XMKTOcPz4cTtEUcGt6urquiBXnz597BJAZglP/89NWgBRwvW4CgZ+ya0BqRHkSpge3braYr56xGV1aQijxjADANAa+vKp+o9RN1BUVyfVJCkdRUMjlcG1atUqu33ixAm7PHbsmF0CyCz6mQ0XoKcuF4CgqHpcn1442q0BqRHkSihlc8VNy65CwCoIrGndAQBoCc2aqAzhcCdTFNga8uV3Gn1R7SzFxcVurR6ZXEDm6tmv4e+Okx9sc2sAUPt9NkjfefN79XBbQGoEuRJM07KrTldUVpeGlOgLyrsbZ9ihJgAApEN3TxXcirpRor81+rujIYrKLM5EvXv3tksyuYDMVTDoq26t1u/J5AIQ8Pv3Nru1WtTjQnMQ5MoCyuoaPmt75B11pX/HFQoGACBIQ97femxEZI2cfsPm2bqQmT67kR+uCCBzRdXlUn09AJDj+za4tVrU40JzEOTKEir4q9ooursepqwuP+U7WV0AgDB9uYybvETZW1fN2GgGTnw0Y7O3gnwmF4DMFVWX65PDDb/UAshNlYcbFpwX6nGhOQhyZRnVSdE07lFZXcrmUgHh8BhnAEDu0rDEvY8VRmZvKWtL9R97XzndtWQ+n8lFTS4gs30m9Hvlwzf/b7cGIJeFfxdo1BL1uNAcBLmykLK6Bt36m8gZr1RAWLMvql4XWV0AkLtUe8v/PYiieo+qv6X6j0lCTS4gGXoNvdut1VKgndnBgdxWdfZcozI7vYsYqojmIciVpTSkREMXNYRR07yH6c69srroTABA7lEHUgGuqMxeZQJfM/+svXOaRD6Tq1u3bnYJIDNFDVkM1+EBkFsqD/xvt1ZLJROS2h9B5yHIleXsl5WSMlswOExZXSowrELDAIDspwxeX6Px7KlDrrVe3c2RBNTeiuMzuc6ePWuXADJX/1ENs7kOvfqAWwOQi47sWuXWahUWz3JrQPryqmu4dWQ5zbSoLzYqRB+mYNjAmx6NrOUFAEg+/Q14d+MMt9WQfvdreKKGu3eGvLw805ruyAMPPGBef/11c+GFF9rliy++aIqKiszUqVPt8xdddJH58Y9/bNcBZJadq/PcWq3hX9puevVvOPsigOynSXBUIzSI3wdoCYJcOWj/tvnmyJ41bquhATesMBd9dpHbAgAknbK3yt/8UeTMiaL6jVEz83ak1ga5pk+fbjZv3uy2Ghs+fLjZvn27HR4FILOE+6UafaDZXAHkFvVTgiOMVHJHI5KA5iLIlaNUk0u/RKKyujSbloJdnXVHHwDQNlRzq2xr9NBEdR4HTX0iIzJ4WxvkApBc4SxT1eAZccdHiR42DaD53lxXbMvpeLoBFzWRGtAUanLlKGVraVp4BbTC9KVo94YJNhAGAEgm3chQcfmoAJc6jbo7yhB1AJ2t95XTG0ySpBuw4eLTALKbJkMLBrikoIh6XGgZglw5TNPCa3r4ooiUcHUwNK28anhpqAsAIBk0Df+ux0dHDk9UhsRVMzZ2+vBEAAgqDM2eFi4+DSC7hX/mlYjBqCK0FEEumL7D5pmrb98VeUffTjP/2OV2CQDIbApsKcClQFeYpuDWECBlTQBAJuk79GturZZGFagINYDcEK4XXTjoq24NaD6CXLAUKde08VF395XVpYwuFQYlqwsAMo/S/DU0MViw1VP2lmZO1IMaNwAykfqh4Zutp/dRNgPIBarLF64T/Zkh33BrQPMR5EIDqtOirK5gbQRPEfbSX1xt764BADKDMm3femxE5O9mZW2p/qKyuAAgk/UbsdCt1WLIIpAbjpf+s1urpT4LN+XQGgS50Ijupg358juRs1moIKDPFiCrCwA6j34Ha2iiMm3DlL2lWXJVf0v1FwEg03W7rGEwXn1OymUA2U3DksNDFfuEhi8DzUWQC5EUPdfQRQ1hjMrqUt0XZXVF1X0BALQvXy8x6newhvwUzSqzs+gCQFIUFBSY/iO/7bZqHX71AbcGIBudeO0ut1ZLfRhqh6K1CHIhJf2iGfSltyKHuugOW9wMXgCAtqfsLWVu6RGuXyH+5oS+LAJA0oSHLCqQTzYXkJ2isrguvua/uDWg5fKqa7h1ICXVe9n79G2RX6yU7aVhMUz1CgDtQ1/2dGMhim5IqLC8fgePGzfO7Ny50z2THOXl5QTnANggfjCwpT7mNSVlbgtAtjjwwmLz0W/rJ5hQqYXBXzlk8nv1cC1AyxDkQrMowHXg3xdH3lXTLyZlETBEBgDajrK3jrz8nQYdwSDVT4yaGRcAkigqoD/8S9tN1z7jKEYNZJGdq/PcWi3VEuV7JNoCwxXRLH4qev0S0nqQDYC9sNgWptd09gCA1tGXPdU/jApwKbtBQxMJcAHIJspMLSia5bZq/e43SwhwAVkkXO5G3ysJcKGtEORCi+iXkKaljyoMqGGNuzdMoIYCALSCZrFVNoPqH4bpd7CG7+jLIABkm0vH/sCt1VLfkhuoQHaoOnvOHApNKsENO7QlglxoMU1LrzpcyuoKU1aXL46soTYAgPT4oTpRk3roTmfc710AyBZR2VwaLaAvxwCSrfytBxvUeFbf5jNDvuG2gNYjyIVWU0bB1bfviswoUDbXrn/sZU4c3ORaAABxFNhSgEuBrrB+w+aZUfPKmVobQE4Iz7SobK7qynfdFoAkisriumTU3QxHRpsiyIU2oRm9UtWGeXfjDHsHjqwuAGhMw3BUz1BDFMN0h1OZWwMnPupa0FxlZWV2qvJ0af+8vDxTXFzcrNe1Ff/+06cT0ETuUkA/fANVfUkAyRXO4pLzi6jFhbZFkAttSrN8KdilgshhKpysAspRGQoAkKv0u1F1DJWlEJZ/2U22/iHFWFtu69atZtCgQaawsLBZAatevXqZvn37moKChpOsdKQ+ffq4NSA3XRa6eeprczFsEUieqCyu/iO/3al/Z5GdCHKhzemumwoiK+AVpgLKGorDnTgAuU6Zrcre0u/D8F1NUfbW0JnP2vqHaLnevXvb5fDhw+0yXd27dzeVlZWdksklCsodO3bMbQG56fxLbrajBYL0O5OhTUDyRGVx9f/c3W4NaDsEudBuNHRRWV0aahOmzIW4ujMAkO1Ur/Ddfxkcmb2lGwWDby8ne6uNjB071lRXV5tdu3Y1626xAlzK5uqsO8x6fzK5kOsUzLpiwk/cVi393qTWK5AsumEULsmgLK5uPS9xW0DbIciFdqUvayqUrILJYX4GsagaNACQjZS95WeePXvqkGut528OkLrfuc6YC22A68yZM52WyaX3J5MLiK7Npd+hFZVVbgtApjuyvcSt1SOLC+2FIBc6hAoma9r7qKyuutnEar78RQ3ZAYBsoOwDZW8piytMdQw1S23UMO/O4AufL1261K4vXLjQbvti7Grz+40bN67uublz53b4BCMbNmxocA7+PHxwyl+L2sK0z0MPPdTgtbrm6qqjNpNKQxajAo5R7/nDH/4w7YBY3DkHv7SnyuTS6ydMmNDg9Trezp073R71drz1nn1e1yV33HFHg9etXLnStkdp7XUCbUXDt4PUX6x8p2GGF4DMpMzLcPalfqbJ4kJ7yatWDj/QgVSDJmqIjugXHkN0AGQTBX3K3/yRDehHUWCr3+gfZVSNGQWGNMxPs/tt2rTJlJeXmwULFpj9+/ebzZs3232WL19u7rnnHlNUVGSmTp1qAyx6aPuVV5rORlNw5fnnnzf5+fmmoqLCLk+ePGkDS8qgkoEDB5r777/frkfR6ydOnGjXS0pK7DF0jnv27GkQiNO1jB8/3l5LkAI/y5bVFrYOX5+ojtf27dsbXIvOe/Hi2rqS/j1//vOf288onWuPO2c93nxtu70ZtKfsIzNh7LDIc456/+B5r1ixwixaVP93VEW6+10xztx66611/y/961avXm33WbJkSaPPubXXCbS1/dvmmyN71ritWro5EK7ZBSCzvLqmsEEig27sqX4z0F4IcqFTKJNBqeZRNJvYxTc8QecZQOJpWPa7G2dEDk1UJ2/Q1CcaDcPJBAoMKcCjYJMCHGvXrnXPGBv48gGVe++91/z4xz+266LMIwVBSktLbcZXKsHjxFFw6tlt/2Hye/VwLfWU9fSV2V+yx9ixY4fdN4q/ltmzZze4Ds26OGXKFLse7AopS0mzMeo6dEwd29Ox9Fy4XXzAbN26dWbOnDmutaHmnPPIkSNtYCrunMOfcfA5nbv/G6pMruvHDI78fxn3mtZeJ9Ae9POz9+eXNPiybGegnfms2wKQad7bfpc5/MZDbqsWwWm0N4YrolP0GTzHXDP/rO2chCnL68BTIyKH9ABAUqjeoIZiRwW49Dtw0JfeysgAl6eaUApyPPzww66l1qxZs+xSAZNggEv8vk0Fr0RZRQoupXoowBIV4BK1p1uYPaq+1TPPPGOXymIKUqBHASTNbhiuyfXII4/Y5Xe/+127DLrzzjvta9asaZhpEtScc1ZGW9w5K8AUDiJOnjy57lqC2V/9P1Md+/9Sr5k2bZpd19BEr7XXCbQH/fwM+MOGwxbVZzwayu4CkBmUSRwOcKlOMwEutDeCXOg0Gpqju28qtBymL4W+OHNH13cBgNbwk2pEDU/UUDT93iuess707NnTtWYmBXiGDh3aKKv285//vF1qyFqYDwidOHHCLtvbN77xDbtU3SjVDVMGUhRdSzi49PLLL9ulMrzClNWkR7gml3/Nk08+ad8v+FBWm15z5MgRu0+cdM85qiaXf/8hQ4bYZdiAAQPs8vXXX7dLOXfunD2vqP+XMmbMGLt8++237VLa4jqB9qAbBOEbpAe332Wqzp5zWwAyxYEXaoe8e+oDqU4z0N4IcqHTqR6NpsuPymhQNteuf+wVW8MLADLJR79dWTuRxtFXXUs9fTkbObcsMoM1E0VlEqWro4JcykTasmWLzUZSfSkNsQsWxvdaci3KVpKoIuvKpNL7BR9qk6NHj6YszJ7OOXft2jUy++yll16yy8GDB9tlHB+kEl2HHnHX7wNjUVpznUB7iSpCf+hXd7otAJlA3+HC39/CmZhAeyHIhYygu8uaNj8qq0tUrF5Df8jqApCJlJKv31Phu5aiO5dFEx+12VtRM8xmqrjZ/XwAq3fv3nbZUqrJFZy1L+rRVF0vUdDIF1TXcL19+/bZwFFwpsFUMxXG0fEkKvtJwyijhlfqoWBV1GuCmjpnZV9FnbMK0cvevXvtMs6kSZPcWn1WWtz1HzhwwC4VCAxr7XUC7UFDncIz0aogvX4PA+h8ugFy4N8b9od0g083+4COQJALGUWdFgW7VJA5TEN/NP0+WV0AMonuVr712IjI3029r5xuht7+O9N32DzXkgxxmUTig1tR2VrNCXqotpdmNEz1CM4S2BS9t2YI1OyC8s4779jlGXNh5LX4YXp+v7CoTK6mXtNccecsLTnnf/3Xf7VLzUoZlCqTy2d9qTi/19bXCbQ1OyNtqK8YN6ERgI51ctd9DSaIkHAGJtCeCHIh42jYoqaVDd+lE9XqUrZE3FT8ANBRlFnqawdGUYfuqhkbM772VpS4TCJJNRTRB4TSyfJSAGvVqlUpH3fffbfbuzG9l7LBghlb4jOTvO7mZGRNrptvvtkuH3zwQbv0lKGkrKqoTK6413iarTA8VDIo3XP24s5ZRf/D76P3fuqpp2yB+ahZDzUZwC233OK2auk1ag+/prXXCbQ31XW9LJT9r2HiGjIOoPNUHn6xUbF5jdSh2Dw6EkEuZCz9QlRWV9TwHg1dfHNdcWTdGwBobycObrL1AqNmgVWgXtNjX/TZ9LOQMk06mVypdERNLgWfXnvtNVvA3Rdx13LZsmU2K+krfzzd7qdriarJ5WcWVMBJQyPnzp1rA1AKcCnoo+fCdaf0Gg0v9K/x76vXanvKlCkpZ5bUOauuVtQ5q5B/MNCkwFzUOfsZFHWeel9/DL23KDgYRcf/j//4jwbX6l8TnkWxtdcJdAQNfSooqp3t1dOQcYYtAp1DN8je2TjDbdVSxmXh1Y1n6gXaE0EuZDR9WdRQn6gx3FUV+2JnMAOA9uCzt94NdeI8H5xP+h3LdDK5WluTqy386le/qgvGqCi6lhrmuGvXrrobJLqWuJpUqovlg0YqqK7AzfLly20tKunbt2+DTC7R8EIVjlfQyL+vXqugmF7X1BDL0tJSe47hcw5nRikwF3XOwff3heH9MXRsBeiiTJgwwT6v8/TXqmOoLSrzq7XXCXSEvuMbz9Sm38/Mtgh0vNJNX2w0TLF48jqbeQl0pLxqVQ8FEkD1bvY+fVujX56iYoYaGkQqLID2ot9B+7fNtwH2MN2pHDT1ichZYoHOpEy0/v3722L0CuoB2UYZteFh47o5qsk+AHQMJR1opE1Q/5HfNldM+InbAjoOmVxIDAWylNWlQs5h+vKpws9RQ4cAoDWUvaUhMKoHGBXgUv3AIV9+hwAXMpKy2KJqkgHZQgGtcMa/+oPU5wI6hupwhQNc+t5GgAudhSAXEkUFnFXIWVlbUbW6/DAifSkFgNZSbZfSX1wd+WVJv4M0NFFDFEnFRyZLNbsikA2UtRWebZH6XED7U7Zw2daGmZTqH118wxNuC+h4BLmQSCrorKyuqMwJXxBaSwBoKd2VVIZoVPZWv2HzzKh55WRvIRHi6qsB2UQ3QcOozwW0ryPbSxr1k4bU/CyG61kCHYmaXEi8qDHgntLX+0/4WSKn8AfQOTRr6/7n5kfO3qq7k8oYiBo2DQDoXEf3rDH7ts13W7WozwW0j6jvYCrhoAx3oDMR5EJWUDq6hipGfSnt1vMSO7OHxoYDQCoalqghLlEU2IrKFAAAZA5NEHJkzxq3VUtlLjQKAEDbUB2u3b+Y4LZq2frJM591W0DnIciFrKK7CbqrEEWdm35j/htZXQAaUaBcwS1NYhGm7C3dleQLEgBkPg1PfOd/D2k0hOrq23cxCzfQBioqq8zen1/SYMZ79ZWKZpUxTBEZgSAXso6yuUqfvo1p/gGkRdlbCpAHO2uenR1o8r8SHAeABNGNC9VUDFIfUDPhMlEI0DqabTp8U3D4l7abXv2vc1tA56LwPLKOAljqxGhMeJgCX7seHx1bwwtA7tAsrBrmrAyuqACXsreUdk+ACwCSRRlbRRMfdVu11Afcv/mLdjY4AC3z3va7GgW49J2LABcyCZlcyGqaYVFfYqO+wCoYNvCmR8nqAnLQsb3rbUft7KlDrqWefieoSDHDWgAg2aLqc1GIHmiZqELz1OFCJiLIhZwQ1cnxlK0RlfUFIPsoe+vIy9+xQxSj8PsAALKH6nOVPvn5RhMT9Rs2zwwMZXoBiBc1MQ91uJCpCHIhZyir692NM9xWQ7oLcfENT/BLGshiSq9XwJt6fQCQOzQ88b2Noxv97tcNDd3YAJBa1HcoBbiGz9pO1jsyEkEu5BTd0VM9hqgZ1IQppoHso+yt8jd/FDvzqr7o9Bv9I4oRA0CW0tD0Pb+Y0CjQRb8PSK3y8Itmd83PTthVMzaa3ldOd1tAZiHIhZykejyq1RVFtRr6T/gZxaaBLJBqtlXdhVRdFjppAJD9NOPi7g0TGtVp5cs6EC1qllLhZwaZjiAXcpayO/ZvvL5RnQbp1vMSc8WEn9iAF4BkiiqQ6uln+7Ib/4HsLQDIIXxpB9KjnxUNUQzfJNSspX2HzXNbQGYiyIWc19QXYbK6gGSJ65gJ2VsAkNvi6gsNmbHR9Op/nWsBcldcHTsm50FSEOQCauhLsYYvRmV1qSC1ZuBRcXoAmU2z/yhoHR6OIgpsXTbxcYLWAJDjju5ZY/Ztm++2alFIG6j19lOTGtUv1oykl/zBI2TAIxEIcgEB+nIcV5waQDLpi4vuPlJcGADg6abIgRcWu61aurGpoYsEupCLlMH14Qu3NQpwaWSLsuCBpCDIBYSkKlQNIFl69h1lLp3yrCkoKHAtAADUzrh99PUfmw923udaainQVTx5HUMXkXN2PT660agWjWQZOO3fyOBCohDkAiKo43P4139u7/IBSA4FtXwHjdoRAICm7N823xzZs8Zt1aJGF3JJXC1T9alGzH7FbQHJQZALSCGqOCmAzKXO2Hvb7zIDbljBcBMAQJN0Y/PQr+5sFOgSDdFipm1ks1QBLjLhkVQEuYA0qRPkU3VZZ531zF8HACBdukFy+I2H3FY93TShpiOyUeXhF807G2c0mqxHQxSHznzWbQHJQ5ALAAAAQE7TTZLytx60kxCFMfwd2UajVTSzPAEuZCOCXAAAAABQ4+ieNWbftvluq16/YfPMwImPui0guaJmFhX+jSNbEOQCAAAAgBrK6Dp96JnImqyqz1U4dgV1ipBYh15dTrYish5BLgAAAAAIUEHutx4b4bbqaTjX4KlP2BkYgSSh7hxyBUEuAAAAAAhQRld15buRM8/1yC8yg6Y+YWegAzLd8ePHzYcv3GYq3n/OtdS7asZG0/vK6W4LyA4EuQAAAAAgggIE720c3SjQJWTAINOpwPzBFxY3+verTMQhMzaarn3GMSs1sg5BLgAAAABIYdfjo82po6+6rXrU6UKmiqu/5QNcvfpf51qA7EKQC2ilsrIyU1xc7LYAtKc9ZR+Z/oXd+DIBAOhwZVtKzLG9691WPYYvIpOkGp6of6OXTnmWfhSyWhe3BNBMK1euNH369DGPPPKIawHQ3p7d/LgZNGiQeeCBB0xFZZVrBQCg/RVPWWcfYRoKpkwvZc4AnUnZhvs2FEcGuPoNm2dGzH6FABeyHkEuoJl8cGvx4sWmvLzcdOnCjxHQkfRzd88995iBV15qg10qDgwAQEfQ8MSrb98VmbWloWHK9lImDdDR9O9PwdZPzjT896fhiSowP3Dio64FyG58OwfStGbNmgbBLQAdL3j30Qe7Lu1/sQ128aUCANARzi8YbjNilBkTpuGMyqRRwW+gI6j/E5dJqGBs0awyZlBETqEmF9AE1dwaO3YsgS0gwxUWFpp/+7d/sz+vAAB0BAW1Dvz74kbZM8Lsi2hvCqYqezDq398lo+4xl49f5raA3EEmF9AEFZXfvnOPWbBggWtp6N577zWKFfPgwaP9HytWrHA/eQ3NnDmTABcAoMNp+KIyZaKGLx54YXHsrIxAayh7a/+2+ebdjTNihycS4EKuIsgFpGFY8UVm1apVprS01Myb1zA1PT8/360BaG/hYqklJSVmx44d5pe//CUBLgBAp9DfprjhiwpwKdD13va7GFaPNqFhiXsfKzRH9qxxLfXyL7vJ1oxjeCJyGUEuoBmU1fXoo4/aYJfP7Dpx4oRdAmh//gvCtGnTbHBr7dq1BLcAABlBhb2VQaNMmrDDbzxka3UdjQhMAOmoPPyiDZiqwHwUZW4Nnfms6dbzEtcC5CZqcgGtoHpdekyePNm1AGhP+nk7duwYgS0AQMbSDZkj20tii88r20b1ulTAHmiK/j2V71xs679F6ZFfZAZNfSJyyCyQiwhyAQAAAEAbU5Dr4AuLTVXFPtfSkAqD9xp6d6Oh+ICnzL+D2++KLCyvjMFLRt1t/x0BqEeQCwAAAADaiepxabhiFAUqBvzhClvAHvA0NFETF8RNWqB/L4VjVxAgBSIQ5AIAAACAdnT6+G4btKh4/znX0pCGMF4x4ScMOctxGpp44rW7IovKi4YmXnnDCgrLAykQ5AIAAACADqC6Sgf+fXHk8DNRhs6lY39Ava4co+BW5dsP2JkT46iwPEMTgaYR5AIAAACADqQZ8lIFNBTsuvia/2J69b/OtSAbpRPcYqICoHkIcgEAAABAB1O9pf3PzY+tuyQMY8xOGr56+LUHYocliuq1FU9Zx9BEoJkIcgFAG9IdOUm3EGhZWZkZO3as6d27t3nllVfSft2eso/M8EEXm2nTpplNm6KnKAcAAJlPQxjff2lJ7CyMoiDXZeOXEfBIOAW3Pth5n/1/ngpDE4GW6+KWALKEgix9+vQxeXl5jR7jxo0z69en/qOKltu6daspLCy0Dx/sSkd5ebnp27dvs2bI6W5O2vfR/+vWqKis4t8LAACdSEMTrykps1k7cRlbyvZ6d+MMs+vx0ebEQW5uJY3+/5VtKTFvPTYiNsBlZ9q8YYUZu6CaABfQCgS5gCyjQImygqSkpMQsWLDAPpTxs3PnTtvWVoGL6dOn22CIjhulqeezjf/clZl1XrcL7HpTfFDs6NGjrqVeqs+va9eu5syZM+bYsWOupWXye/XosH8vAAAgnoJdI2a/Yq6asdEOU4zig11vriu2dZyac1MNHU8BrbefmmSDk3HBLc2YqODWqHnl5qLPLnKtAFqKIBeQZZSZc+LECRs4efjhh82qVavsQ0PatmzZYve577777BJtS8EtjQDfsWOHDR6lQ1lclZWVNpOrOc6dO2eXrc3kUueYfy8AAGQODUkcOvPZlMEuDW1U8fq9jxXaDKGjKWo7oWMp027/tvlm5+o8+/+m4v3n3DMNKbil7D1l8RHcAtoOQS4gy/jMHAVPwiZPnmyKiorM7t27ufOXQXr16mWXzf1/0r1791ZncvnMP/69AACQWXyw6+rbd5mColmutTFlCO1zQRUFVxjO2PFUa0tBx1fXFNpMu1QF5TUk1Qe3lL0HoG0R5AKyzNlTh8zp06dtACQsmLUTRTWlVIfJ12TSQ9sqjh60cOFC+9zmzZvtdvA1GtrW1PNB6b6nqE3PL1261K7799GjuLi47jVaBo85d+7clEEanYP20/DAsJUrVzb5nM5H/Pnp/aI88MAD9nn/8K/zASZfkyvdz08ZYD6TK/xZNGeIqP5NtOTfCwAAaF9VZ8+Z8wuGm8FTn7BDGfsNm+eeiabgSnA4o4IvaB/qJ33025V2KKJqbenz/uRMfH9TWXnKztP/R4JbQPshyAVkmW49LzHnn3++rdcUpiFoCqiMHz++UZFzBWymTJlSV4cpWJdp0KBB9nnvq1/9qn3eBz+CtZy+8IUvpHx+yJAhtk2a856ejrlv3z47NHD16tV1r1GbXqNAkpaqcaXntN+6devM6NGjYwNdPmNJQaXwPgcOHLDLI0eOxD43e/ZsuxSdX1R2lQJa99xTW0TUn/OyZcvsuXr++Kk+vyuHXWfbLi2sshlg27dvNz169Gj0WSgwlm6gS5lczf33AgAA2l+Pbl3dWm0G0MCJj5rBt5fbwuQa7hbHD2dU8EVBGAVj4vpBaB5lzmkYooaKHnhhsa2TFkfF5BWYHP6l7TYrj9kxgfaXV60CMgCyhmpyDbzyUhucUHAkPz/ftivg4YNJa9eutW2eMpkUbJLS0lKbCeQFn9Mxg8EOZTcpMKQaVAomhaV6viXvqUwpHxQKX4d/L1myZIm5//777br4bKd/+7d/izxPUSaUAkUKiM2ZU3t3TZ1BvZ/OQYLX4Z/TQ+3izy98bsHrCf7KDR5fx/XH8VJ9fnqv4cOH2+BU+P0UHFy8eLENeClQlUrwHNL99wIAADJD5eEXzZHdq0x52YaUWUSeAmWfuXK6ufDSiQRc0qTPuOKD58zv39scW18rTJlavYu+RMYW0AnI5AKyTHC2PAVsFLjRw2f1qE3ZTkHPPPOMXeq5YLBJlOWkoJGEAyZNFT1P9XxL3vOMudBmNyngoyLpQbNm1daqUFAmGOAS7asgzjvvvONaGlOml6xZU19DYe/evfZ1ypCSxx9/3C7FP9evXz/XUj9TYjiTy1+rvyZPwTsF+PQaZZ6F77Cm+vz0WSiTSxlo4SCUgnQ6ZlT2WZjOobn/XgAAQGbo1f86m92lmflU56mpoIqyjjSsTkMaVcNLM/9pmzpe9TTEU5+JPht9Rrt/McFmxTUV4FIAUbMkDr3jdFr/LwC0D4JcQJYJzq6oIIwyh/xDs+Wp9pKGzQVrO7388st2GRxKGDRgwAC7fP311+3Sa6roearnW/Ke3c1Jm7k0dOjQRsPnPv/5z9ulgj5hPtATPv8gZT35wJD3m9/8xi4V5NJzTz/9tN0WBYJk3rz62hj6vPUIB6f8tQaHNXr+NZpdMXxNqT4/fRYyYcIEu4wTPmZYsIbb70+ebvTvRYG08L8XAACQeRRUUXBFwxkVbFHQpSkK3CiAEw56KXspV/jAn4YgqnC8hnimE9QSDRm9fPwyOzmAam1plsR0Z9gG0D4IcgFZpqnZFX/1q1/ZdWUV+eDPSy+9ZJeDBw+2yzg+WNMW9uzZY5dNvecbb7zh1ozp2rVrm8woGEXZZKo9pQym559/3rZt2LDBZo3pHDV0UM9pmKBUVFTYpdqDFAxrzvn57DQF79IZZuDps5Co9/LZWTpmU5lcwRpun5z92LXW0r+Xbdu22fXgvxcAAJC51A9QsEVBFwVfFIRJVb8ryAe9lL2koJcCP9pWHapsCHwpS0tZa7omzUSpoJZqlvlrTKcvFqyzpRkSVR9NkwMAyAwEuYAso0BEqhnxlGWk57SPp+COaAheKpMmTXJrrTds2DC7bOo9b7jhBrdmzLlz5xrMKBjkr8cPvYuS6jnxQx5VzF3BLNXD+spXvmI7izfeeKN97te//rV9TsP4NDQyKlMq1TDDMJ+dpuCdOk3pSvVZiD4PHbOpTK5g5l8UHV/ZXMF/L56f0ZHgFwAAmUnBFwVhFIxRwMsPo0u3z6HAj89y8oEvzdzoA0MqaK+gUab1BXROOjedo7LTdM46d2VpKWtN16SZKNO9waiZEZUdp89QQ0M1RFRDRQFkHoJcQJbxWTxRmVxBwefHjBljl3E1q/71X//VLgcOHGiXXlPBnG7durm1xpp6T2VRSfA9lb2kgEtU9pIPYEUFY7xUz4mvZaXC7T5jy7+/L0b/5JNP1hW4v/XWW+3S02v1uYbPL9W1apZEBaMUsAp3EC+44AK31liqz0L0eUTV+QpLlfnn6fzCz+v/vR+y2dS/NQAA0PkU8PJDGhWoUcBGgZuColnNutGmmRv9ED/NLqigkWYaVBBJwS+f/fXe9rvqgmDBR0sywnwGVvDhg1h6KCtL763MLJ2HzknnpnNUdprOuTkU1FIGnLK1xi6otjMjKjsur9dVbg8AmYogF5CFfBZPlOXLl9ugRDAL6eabb7ZLtfngjqeZAZ966ik7bM8Hejw/E19coOqyyy6zy6jnm3pPBZLC75lOJlcqXbqk/pWnz0NZbfv27TP//M//bNv8cEQ9p7pdyuDyAbjwUEUf7Amfn7/WBx980C49XXfv/p+zr1PAKpx1dfHFF9tl1OeX6rPw2XxRdb7C/L5xmVxR/16UwaUZGVWzS/pdXPv/GQAAJIeCXgrcDJ76hA16aXijAjsKerWUgl8+++vwGw/VBcGCD58RFn4oSKVH1HM+Ayv48EEsn5Wl925O6YcgBbWU8WaHIM4/a4Na2g5na/XoVlsuAkDmIsgFZCFl5mgI3De/+U0bkPAPn32j4uzB2QmDsxkqeDF37ly7/7hx48yUKVNs+6pVq+wyyM9IqACI9lfQJzg7oR/eGHxeWVLSkvdMJ5PLL4N8cObTTz+1y1R8IXl9TgpqBYNEPiNLAbhg0MdToEiP8PnpWnUs1fTS8D5dqz4LXbceei4qk8sXlQ9+fr4AfKrPQuflP4emMrn8vgpk6d/L/Pnz7XvpEffvRf9fduzYUfce4VpeAAAgeVSoXoEdBb2UvaSAjzK9+o/8tg0CpVvXq6UUpNKjPSljTdeia1JA76oZG+sytbStoBaBLCDZ8qo1hRaArKGghgInPqsoSMGKRYsWmbvvvtu1NKQMqq9//es2k8nTzIKaXU+F2aMsXbrULFu2zG0ZG/xQBpbX1PPNeU9lPg0fPtzOUrh27VrXWkvHUXBMgbP777/ftdZSYG3x4sU2Kynu2j29hz4/Ce/v30OU0RXObPOvVVAqfH4S/iz88RW80qyO+mzC4j6/VJ+FKEClc4k6Zpj2bcm/FxXonzhxon1tOOAHAACSq+rsubpgT3BdNNyw6uQ+c6Zin/n46Gvm7MeH0pqJsCMpYNc9v8j0uvgLptsFl9ista59xhHAAnIAQS4AQIsoM02ZdwS5AACAbrR2q9pdN2zw3MeHTdcL+pvKD3/daBhhc4Niyr4K+8wV02qOe8Kc1702s/yCvqNMdf51jfok4SAdgOxGkAsA0CI+s40gFwAACGpuYEmzPXc5+Yo5d+a46dJnkp0YpykErwBEoSYXAKBFouqfAQAANDf4pKCW6mH1vnJ6WgEuIcAFIApBLgBAi6QzoyUAAAAAdBSCXACAZtHMi5ol0hfh14yS2tbwRQAAAADoLNTkAgAAAAAAQOKRyQUAAAAAAIDEI8gFAAAAAACAxCPIBQAAAAAAgMQjyAUAAAAAAIDEI8gFAAAAAACAxCPIBQAAAAAAgMQjyAUAAAAAAIDEI8gFAAAAAACAxCPIBQAAAAAAgMQjyAUAAAAAAIDEI8gFAAAAAACAxCPIBQAAAAAAgMQjyAUAAAAAAIDEI8gFAAAAAACAxCPIBQAAAAAAgMQjyAUAAAAAAIDEI8gFAAAAAACAxCPIBQAAAAAAgMQjyAUAAAAAAIDEI8gFAAAAAACAxCPIBQAAAAAAgMQjyAUAAAAAAIDEI8gFAAAAAIhVVlZmjh8/7rY6n84nLy/PTJ8+3bUAQC2CXADQTprbIdzx1nu2w1ZcXOxaWsYfh44fAACIo37K/PnzbZ/BPwYOHGjmzp1rdu7c6fYyZuvWrWbQoEGmsLAwowJd0qdPH7cGALUIcgFISYGSYOcn1WPp0qXuVQh2CNWJTEf/z1Tb/fv27duqTqQ/DgAAQJSVK1fafsqaNWvs9tixY+3jwIEDZt26dWbcuHHm0KFD9rnevXvb5fDhw+0yU6ivc+zYMbcFALUIcgGIpUDLmDFj6jo+/uGF26+99lr3DDx9LulmZp07d86Ul5fb9YKCArtsCR2nsrKSu5sAAKAR3YhbvHixXVdAq7q62uzYscM+tF5aWmpmzpxpzj//fLuP+jJq37VrV6v6J22Nvg6AKHk1v7Cq3ToANElZSers6O6fOkNoO6eP7zaXDfoDe8f0lVdeaXFH0v8/Gj9+vNm0aZNrBQAAqB3ip5tqCnDNmTPHtSYLfR0AccjkAoAMUHX2nPmgvIe9K6nhiq29U6rOK3c3AQBAkLK41EdQgCjdAJcCSipLoVpdQb5d5Sq0riGO2lYGe7Dswvr1622bL2+hul8PPPBA3T46J7VH1RJNVa80LpNL5/Ktb32r7v300LkF64x5/vhNXQOA5CDIBaBFjh49GvnHP1WHR9t+Hz2vdv/QfurkhAWPJwsXLmzwOtWUiKPj+ff3Dx0nfN6p6o4Fz0nrEyZMaPB8XKdpT9lH9vm44u867+Bx7vvBX5ujp7qZXr162efD55juZ6Zg2aWFVdSpAAAAjfzLv/yLXU6dOtUu0xXXr1D7vn37bL0u9YcUPNO2953vfMeUlJTYNi0XLFhg+5D33HOP2bBhg92nZ8+edhklVb1S9ZnC56Rz0Ln89Kc/NdOmTbPvp6Xao/pN/vhR13C4/KzbC0CiaLgiAKSrtLS0uqYzUF3TAXAtDen5mk5HdU1Hprp79+4aDm331frvT56u3rFjh23To6bTUV3T+bBL36bng3Q8tet4fh+t63V+e8mSJW7vev/9v//3RvvrvLVd04lxe9VasWKFfT748K/156N9wscLnve6devsfl7wcwgLHj98HD3Cn+2WLVvqnkv3M9PnHfXeAAAgd/n+Q7jfkkpcv8L30fSI6hf6/ku43yV6Tq/369pv1qxZdjvIv3f4+HHnpGOpzR/b8/24mTNnupZaTV0DgOQhyAWgWdQZ8EGu8vJy11rPPx/XWVBAJlXnQ52voN2lH9YdL9yRCQbMPvjgA9dafw5FRUWupZ4CYtpf7xfHn4t/v+D7hM87GIAKfh7+HMLXE7e/1i+55BLbrvMOPteSz0wBtnA7AADIbS0NckX1adRX8X20YL/F832upt7L97Oi+i0HDhyw76FAWfA94s4pjj/X8P4fl+9KeQ0AkofhigCaraYTYJdxdaNUI6F79+7mmWeecS31xo4da9auXduotkJNp8Omi3fr1s211OpuTpozZ87UvS5IbXqdPPfcc3Ypy5cvt+e4bNky11LvzjvvtMvnn3/eLsP8sEB5+OGH7XL16tV2qQKt4fOePHmyTYWXcOHTqFoR//zP/2yXOsfg56f1X/3qV3Up+cHnWvKZ6fOnJhcAAGgrF1xwgVurpb6WHiUlJZF9wpdfftkuhwwZYpdxTpw4YZdR/RY/Y7SGJobfQ/3DuL6OhjaqFpjKXOjxzW9+055reH9fDzXuGgAkD0EuAM2ioIoeElWTS9QRmT17dsrOQrjz4QNTZ882rn+ggE2/fv3cVkNjxoyxy9dff90u5f3337fLJ598su74wfeR7du32/pVYZpSW+ehgJY//w8//NAu4zppo0ePtsvgOYg+h3CtiIqKCru8+eab7TJO1Geb7mem/z9qpyYXAAAIiuo3pevjjz92a7XOmAttn8P3bcJ27dpll4MHD7bLOJpVWuL6LepPSbhvpP5h1GvUR9J5KXClG5V6qF8n4f11DTp+3DUASB6CXACaRcETPSQuiOWfjxPV+fDZUlF35OJmz5EBAwa4tXo+6KMOTfD4wfdRtlSPbl3tuvfiiy+azZs32/MKzji0bds2uxw6/Bq7jBMstCpRdxibCjzFfbbN+cz8MeI+MwAAkJt8v+npp5+2y3RF9cV8tn1+fr5raWjEiBF2uXfvXruM4zO54ui9Jdw3ijon9ZfUP1IWfGlpqUrz2IfW1Y+Kyn7XceKuAUDyEOQC0GzqJEhUtpGe0yMumOM7H0VFRZGdj6jXRWVEeQcOHHBr9XwHZseOHXXHDz/0XNgf/dEf2aUfpuj5GRLf3v2mXcbRNQXF3WGM4z87CX62zf3M/J3V5rw3AADIfr7UgWYRTDVDdZDPdorqV6Tq6/issXfeeccu46gcg85pz549rqVe165d7XsrmBbsG8Wdk8/mX7VqVaMyDxI1YiBVPxNA8hDkAtBsqTK59JwecVlE+/fvt0tN4RzV+Yh7XVy7r/dw7bXX2qWMHDnSLpvqVAUpkKTzDg5T9Pzdvbjj+Smwg+cgUZlcAwcOtMuoY/nPToLnkOozi3oPf2c17jMDAAC5Sf2Ir3zlK3ZdJRpUBiFM9Ul1g2/37t12O1W/Ip1s+wcffNAug9SnUaBNfN9GGfG+TXQen/vc52zfSMG0YN8o7pyigljiSzzEnSt9JiB7EOQC0Cy606aHRGVySaosIt+JCD//yCOP2M5HuF3HUruCT+pwBd9THSQNL1SGU3B4oeqByZIlS+wyLNixEq0rUyo8TNHzheX1fPB1EncOEnV30x9L51ZRWWXXRR05pdZ7wev0hV6jPjN1LsPtuuvZ3CwyAACQG5Tl5PtI6tvk5eWZcePG2YfWBw0aZPs2fphgXL/CZ1nF9TcWLVpkM8fUd9Jx586da28qan3KlCkNbvhpX9E5+P10HqrXpb6gAlrhfmfUOfm+mD+OHup7+hIPcedKnwnIHgS5ADSLAk56SFQml6S6U3bjjTfaZbDzoc5O1EyI4t9LAaCXXnrJdnTU8bnppptsB0nCr9W+CibpjqDvuOk1cR2re++9163VZnT5x/z58+0dTh3PdwaDnS+t+3NQsCss6g6jjqUOn87tMxeeb4+j4J3vyPnZIoOfrW+L+8zC76GZiFL9PwAAALnt/vvvN1u2bKnrYygQpYdu2qkPpZII/uZbXL/Cz3yYqr+hmadXrFhh132tVL2HMquCNwd1PtpP/Ty/n/bRTUAJZ3JJVD9r3rx59vXaX0s9xo8fb8tU6NhR50qfCcgy1QDQDDWdnuqaTkJ1TQeluqZT4FrrqU3P13SaXEtjNR0Ou49+BelR04mqO25JSYnbq9aBAwfqjqdja+lfp3PQ6+LUdN7ssf3+/r1qOjpuj1rBcwk/fvCDH7i9oo+n8406B389cZ/DkiVLGhynpiNn23W8qM821WcWfo/gZwYAAAAAuSJP/6n5wgQAGckP41O209q1a10rAAAAAAANMVwRQEYrdDW5qJUAAAAAAEiFIBeAjKYAl1ArAQAAoOVUz5NH+g8AycRwRQAp8Uc+O/CrHgCA3EafrnnoOwHJRJALQEp0iLIDv+oBAAAAZDuCXAAAAAAAAEg8anIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDhjPn/AcdzesWXWgXpAAAAAElFTkSuQmCC\" data-image-state=\"image-loaded\" width=\"725\" height=\"334\"\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: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function yn = normalDepth(Q,n,S0,units,channelStruct)\r\n%  yn = normal depth\r\n%  Q = discharge (or flow)\r\n%  n = Manning roughness coefficient\r\n%  S0 = channel slope\r\n%  units = 'SI' for metric, 'USCS' for U.S. Customary System\r\n%  channelStruct = structure with with fields 'type', 'size1', and (for trapezoidal) 'size2'\r\n\r\n   C = switch(units,[1 1.49]);\r\n   yn = solve(Q-(C/n)*R^(2/3)*sqrt(S0)*A,0);   ","test_suite":"%%\r\nQ = 40;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 5e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 20;                   %  Width (m)\r\nyn_correct = 0.61;                          %  Normal depth (m)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 40;                                     %  Discharge (m3/s)\r\nn = 0.04;                                   %  Manning coefficient \r\nS0 = 5e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 20;                   %  Width (m)\r\nyn_correct = 1.12;                          %  Normal depth (m)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 400;                                    %  Discharge (cfs)\r\nn = 0.035;                                  %  Manning coefficient (rock)\r\nS0 = 6e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 50;                   %  Width (ft)\r\nyn_correct = 3.58;                          %  Normal depth (ft)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 4e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 8;                    %  Width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\nyn_correct = 0.72;                          %  Normal depth (m)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nn = 0.034;                                  %  Manning coefficient (rock)\r\nS0 = 4e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 8;                    %  Bottom width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\nyn_correct = 1.16;                          %  Normal depth (m)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 45;                                     %  Discharge (m3/s)\r\nn = 0.013;                                  %  Manning coefficient (asphalt)\r\nS0 = 8e-4;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 1.7;                  %  Bottom width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\nyn_correct = 2.80;                          %  Normal depth (m)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 45;                                     %  Discharge (m3/s)\r\nn = 0.013;                                  %  Manning coefficient (asphalt)\r\nS0 = 8e-4;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'triangular'; \r\nchannelStruct.size1 = 1.5;                  %  Side slope\r\nyn_correct = 3.33;                          %  Normal depth (m)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 350;                                    %  Discharge (cfs)\r\nn = 0.04;                                   %  Manning coefficient (clean winding channel)\r\nS0 = 5e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'triangular'; \r\nchannelStruct.size1 = 12;                   %  Side slope\r\nyn_correct = 4.52;                          %  Normal depth (ft)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 250;                                    %  Discharge (cfs)\r\nn = 0.024;                                  %  Manning coefficient (corrugated metal pipe)\r\nS0 = 1e-3;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'circular'; \r\nchannelStruct.size1 = 10;                   %  Diameter (ft)\r\nyn_correct = 7.28;                          %  Normal depth (ft)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 9.76;                                   %  Discharge (cfs)\r\nn = 0.015;                                  %  Manning coefficient (concrete pipe)\r\nS0 = 1e-2;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'circular'; \r\nchannelStruct.size1 = 1.5;                  %  Diameter (ft)\r\nyn_correct = 1.36;                          %  Normal depth (ft)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":46909,"edited_by":46909,"edited_at":"2023-05-18T12:36:47.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2023-05-17T14:01:26.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-05-17T13:54:07.000Z","updated_at":"2023-05-18T12:36:47.000Z","published_at":"2023-05-17T14:01:26.000Z","restored_at":null,"restored_by":null,"spam":null,"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\u003eFor steady uniform flow in a channel of constant cross section and slope, the depth does not change with distance or time. In this state, the component of the fluid’s weight down the slope is balanced by the friction from the wetted perimeter $P$, the portion of the perimeter touched by the fluid. \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\u003eAs described in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/57969\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eCody Problem 57969\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enormal depth\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, or depth of flow in this state, can by computed from Manning’s equation for the discharge (or flow) \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\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:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = (C/n) R^(2/3) S0^(1/2) A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = \\\\frac{C}{n} R^{2/3} S_0^{1/2} A\u003c/w:t\u003e\u003c/w:r\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\u003ewhere \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is Manning’s roughness coefficient, \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R = A/P\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR = A/P\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the hydraulic radius, \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"S0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the slope of the channel,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the cross-sectional area of the flow. The coefficient \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is 1 for SI units and 1.49 for U.S. customary units.\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\u003eWrite a function to compute the normal depth of a channel. The unit system will be specified in units as either ‘SI’ or ‘USCS’ (U.S. customary system). The geometry of the channel’s cross section will be specified by a structure \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003echannelStruct\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e with the following fields and possible values:\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=\\\"124\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"435\\\"/\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\u003eThe side slope is the horizontal distance divided by the vertical distance; for example, a side slope of 1.5 would mean the bank rises 1 m for every 1.5 m in the horizontal direction. \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=\\\"334\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"725\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/docu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water surface profiles","description":"Problem statement\r\nWrite a function to classify the water surface profile starting at depth  in a channel with longitudinal slope , discharge , Manning roughness coefficient , and cross section specified by a structure channelStruct as in Cody Problem 58314. The unit system will be specified in units as either ‘SI’ or ‘USCS’ (U.S. customary system); take the acceleration of gravity  to be either 9.81  or 32.2 . You can assume that the slopes will be either mild or steep and the profiles will be one of the six shown in the figure below. \r\nBackground\r\nSections of channels are classifying by the relationship between the critical depth  and the normal depth . Slopes with  are steep—that is, normal flow is supercritical (fast and shallow), whereas slopes with  are mild—that is, normal flow is subcritical (slow and deep). \r\nThe type of water surface profile in gradually varied flow then depends on the water depth  relative to these two depths, as shown in the figure below. Profile S1 has ; profile S2 has ; and profile S3 has . Profile M1 has ; profile M2 has ; and profile M3 has .  \r\n\r\nFigure by NateJonesAR - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=25698746","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: 780.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 390.35px; transform-origin: 407px 390.35px; 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: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 106px; 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 53px; text-align: left; transform-origin: 384px 53px; 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: 211.842px 8px; transform-origin: 211.842px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to classify the water surface profile starting at depth \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);\"\u003ey\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: 112.05px 8px; transform-origin: 112.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a channel with longitudinal slope \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"S0\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" 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: 36.175px 8px; transform-origin: 36.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, discharge \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);\"\u003eQ\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: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, Manning roughness coefficient \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);\"\u003en\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: 134.183px 8px; transform-origin: 134.183px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and cross section specified by a structure \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: 50.05px 8px; transform-origin: 50.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003echannelStruct\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: 18.6667px 8px; transform-origin: 18.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e as in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58314-compute-the-normal-depth-of-a-channel\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58314\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The unit system will be specified in \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: 19.25px 8px; transform-origin: 19.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eunits\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: 252.408px 8px; transform-origin: 252.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e as either ‘SI’ or ‘USCS’ (U.S. customary system); take the acceleration of gravity \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);\"\u003eg\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: 54.45px 8px; transform-origin: 54.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to be either 9.81 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"m/s^2\" style=\"width: 33px; height: 19.5px;\" width=\"33\" height=\"19.5\"\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: 25.6667px 8px; transform-origin: 25.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or 32.2 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"ft/s^2\" style=\"width: 30.5px; height: 19.5px;\" width=\"30.5\" height=\"19.5\"\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: 258.808px 8px; transform-origin: 258.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. You can assume that the slopes will be either mild or steep and the profiles will be one of the six shown in the figure below. \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: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 65px; 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 32.5px; text-align: left; transform-origin: 384px 32.5px; 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: 211.617px 8px; transform-origin: 211.617px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSections of channels are classifying by the relationship between the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58324\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ecritical depth\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yc\" style=\"width: 14px; height: 20px;\" width=\"14\" 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: 27.225px 8px; transform-origin: 27.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58314-compute-the-normal-depth-of-a-channel\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003enormal depth\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yn\" style=\"width: 14.5px; height: 20px;\" width=\"14.5\" 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: 41.6167px 8px; transform-origin: 41.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Slopes with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yn \u003c yc\" style=\"width: 44.5px; height: 20px;\" width=\"44.5\" 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: 14px 8px; transform-origin: 14px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are \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: 17.1167px 8px; transform-origin: 17.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003esteep\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: 237.275px 8px; transform-origin: 237.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e—that is, normal flow is supercritical (fast and shallow), whereas slopes with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yn \u003e yc\" style=\"width: 44.5px; height: 20px;\" width=\"44.5\" 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: 14px 8px; transform-origin: 14px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are \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: 12.8417px 8px; transform-origin: 12.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003emild\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: 29.55px 8px; transform-origin: 29.55px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e—that is, normal flow is subcritical (slow and deep). \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 65px; 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 32.5px; text-align: left; transform-origin: 384px 32.5px; 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: 279.292px 8px; transform-origin: 279.292px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe type of water surface profile in gradually varied flow then depends on the water depth \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);\"\u003ey\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: 99.35px 8px; transform-origin: 99.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e relative to these two depths, as shown in the figure below. Profile S1 has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y \u003e yc \u003e yn\" style=\"width: 70.5px; height: 20px;\" width=\"70.5\" 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: 48.6167px 8px; transform-origin: 48.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e; profile S2 has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yc \u003e y \u003e yn\" style=\"width: 70.5px; height: 20px;\" width=\"70.5\" 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: 62.2333px 8px; transform-origin: 62.2333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e; and profile S3 has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yc \u003e yn \u003e y\" style=\"width: 70.5px; height: 20px;\" width=\"70.5\" 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: 37.3333px 8px; transform-origin: 37.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Profile M1 has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y \u003e yn \u003e yc\" style=\"width: 70.5px; height: 20px;\" width=\"70.5\" 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: 49.7833px 8px; transform-origin: 49.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e; profile M2 has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yn \u003e y \u003e yc\" style=\"width: 70.5px; height: 20px;\" width=\"70.5\" 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: 63.4px 8px; transform-origin: 63.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e; and profile M3 has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yn \u003e yc \u003e y\" style=\"width: 70.5px; height: 20px;\" width=\"70.5\" 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: 3.88333px 8px; transform-origin: 3.88333px 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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 427.7px; 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 213.85px; text-align: left; transform-origin: 384px 213.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 440px;height: 422px\" 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\" data-image-state=\"image-loaded\" width=\"440\" height=\"422\"\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: 353.142px 8px; transform-origin: 353.142px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFigure by NateJonesAR - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=25698746\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function profType = classifyGVF(y,Q,n,S0,units,channelStruct)\r\n%  profType = character string--one of S1, S2, S3, M1, M2, or M3\r\n%  y = water depth\r\n%  Q = discharge\r\n%  n = Manning roughness coefficient\r\n%  S0 = channel slope\r\n%  units = either 'SI' or 'USCS' (i.e., lengths in m or ft)\r\n%  channelStruct = structure describing the cross section--see CP 58314\r\n\r\n  y = 'S1';\r\nend","test_suite":"%%\r\nQ = 40;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 5e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 20;                   %  Width (m)\r\ny = 1.2;                                    %  Depth (m)\r\nprofType_correct = 'S1';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 40;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 5e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 20;                   %  Width (m)\r\ny = 0.7;                                    %  Depth (m)\r\nprofType_correct = 'S2';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 40;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 5e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 20;                   %  Width (m)\r\ny = 0.34;                                   %  Depth (m)\r\nprofType_correct = 'S3';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 400;                                    %  Discharge (cfs)\r\nn = 0.035;                                  %  Manning coefficient (rock)\r\nS0 = 6e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 50;                   %  Width (ft)\r\ny = 4;                                      %  Depth (ft)\r\nprofType_correct = 'M1';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 400;                                    %  Discharge (cfs)\r\nn = 0.035;                                  %  Manning coefficient (rock)\r\nS0 = 6e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 50;                   %  Width (ft)\r\ny = 2;                                      %  Depth (ft)\r\nprofType_correct = 'M2';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 400;                                    %  Discharge (cfs)\r\nn = 0.035;                                  %  Manning coefficient (rock)\r\nS0 = 6e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 50;                   %  Width (ft)\r\ny = 1;                                      %  Depth (ft)\r\nprofType_correct = 'M3';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 4e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 8;                    %  Width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\ny = 1;                                      %  Depth (m)\r\nprofType_correct = 'S1';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 4e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 8;                    %  Width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\ny = 0.75;                                   %  Depth (m)\r\nprofType_correct = 'S2';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 4e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 8;                    %  Width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\ny = 0.6;                                    %  Depth (m)\r\nprofType_correct = 'S3';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 350;                                    %  Discharge (cfs)\r\nn = 0.04;                                   %  Manning coefficient (clean winding channel)\r\nS0 = 5e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'triangular'; \r\nchannelStruct.size1 = 12;                   %  Side slope\r\ny = 4.7;                                    %  Depth (ft)\r\nprofType_correct = 'M1';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 350;                                    %  Discharge (cfs)\r\nn = 0.04;                                   %  Manning coefficient (clean winding channel)\r\nS0 = 5e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'triangular'; \r\nchannelStruct.size1 = 12;                   %  Side slope\r\ny = 3.5;                                    %  Depth (ft)\r\nprofType_correct = 'M2';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 350;                                    %  Discharge (cfs)\r\nn = 0.04;                                   %  Manning coefficient (clean winding channel)\r\nS0 = 5e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'triangular'; \r\nchannelStruct.size1 = 12;                   %  Side slope\r\ny = 2.0;                                    %  Depth (ft)\r\nprofType_correct = 'M3';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 250;                                    %  Discharge (cfs)\r\nn = 0.024;                                  %  Manning coefficient (corrugated metal pipe)\r\nS0 = 1e-3;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'circular'; \r\nchannelStruct.size1 = 10;                   %  Diameter (ft)\r\ny = 7.3;                                    %  Depth (ft)\r\nprofType_correct = 'M1';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 250;                                    %  Discharge (cfs)\r\nn = 0.024;                                  %  Manning coefficient (corrugated metal pipe)\r\nS0 = 1e-3;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'circular'; \r\nchannelStruct.size1 = 10;                   %  Diameter (ft)\r\ny = 7.2;                                    %  Depth (ft)\r\nprofType_correct = 'M2';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 250;                                    %  Discharge (cfs)\r\nn = 0.024;                                  %  Manning coefficient (corrugated metal pipe)\r\nS0 = 1e-3;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'circular'; \r\nchannelStruct.size1 = 10;                   %  Diameter (ft)\r\ny = 3.7;                                    %  Depth (ft)\r\nprofType_correct = 'M3';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nfiletext = fileread('classifyGVF.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2025-07-09T21:56:12.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-05-23T01:31:32.000Z","updated_at":"2025-07-09T21:56:13.000Z","published_at":"2023-05-23T01:34:25.000Z","restored_at":null,"restored_by":null,"spam":null,"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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\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\u003eWrite a function to classify the water surface profile starting at depth \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in a channel with longitudinal slope \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"S0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, discharge \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, Manning roughness coefficient \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and cross section specified by a structure \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003echannelStruct\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e as in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58314-compute-the-normal-depth-of-a-channel\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58314\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. The unit system will be specified in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eunits\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e as either ‘SI’ or ‘USCS’ (U.S. customary system); take the acceleration of gravity \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to be either 9.81 \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"m/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rm m/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e or 32.2 \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"ft/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rm ft/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. You can assume that the slopes will be either mild or steep and the profiles will be one of the six shown in the figure below. \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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\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\u003eSections of channels are classifying by the relationship between the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58324\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecritical depth\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr/\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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e and the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58314-compute-the-normal-depth-of-a-channel\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enormal depth\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yn\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Slopes with \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yn \u0026lt; yc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_n \u0026lt; y_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003esteep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e—that is, normal flow is supercritical (fast and shallow), whereas slopes with \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yn \u0026gt; yc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_n \u0026gt; y_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003emild\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e—that is, normal flow is subcritical (slow and deep). \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\u003eThe type of water surface profile in gradually varied flow then depends on the water depth \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e relative to these two depths, as shown in the figure below. Profile S1 has \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y \u0026gt; yc \u0026gt; yn\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey \u0026gt; y_c \u0026gt; y_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e; profile S2 has \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yc \u0026gt; y \u0026gt; yn\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_c \u0026gt; y \u0026gt; y_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e; and profile S3 has \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yc \u0026gt; yn \u0026gt; y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_c \u0026gt; y_n \u0026gt; y\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Profile M1 has \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y \u0026gt; yn \u0026gt; yc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey \u0026gt; y_n \u0026gt; y_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e; profile M2 has \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yn \u0026gt; y \u0026gt; yc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_n \u0026gt; y \u0026gt; y_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e; and profile M3 has \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yn \u0026gt; yc \u0026gt; y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_n \u0026gt; y_c \u0026gt; y\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: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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"422\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"440\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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the critical depth of a channel","description":"Problem statement\r\nWrite a function to compute the critical depth of a channel with discharge . The unit system will be specified in units as either ‘SI’ or ‘USCS’ (U.S. customary system); take the acceleration of gravity  to be either 9.81  or 32.2 . The geometry of the channel’s cross section will be specified by a structure channelStruct as in Cody Problem 58314.\r\nBackground\r\nSpecific energy for a flow is , where  is the water depth and  is the velocity averaged over the cross section. The critical depth is the depth of minimum specific energy. Using the definition of the average velocity  and differentiating with respect to depth gives\r\n\r\nThen using the definition of the top width  gives the condition for the critical depth in terms of a dimensionless parameter called the Froude number :\r\n\r\nFlows with depths smaller than critical are supercritical—fast and shallow (), and flows with depths greater than critical are subcritical—deep and slow (). A flow changes from supercritical to subcritical with a hydraulic jump, which can be observed in the field, in the laboratory, and even in a kitchen sink. ","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: 409.2px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 204.6px; transform-origin: 407px 204.6px; 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: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 226.642px 8px; transform-origin: 226.642px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the critical depth of a channel with discharge \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);\"\u003eQ\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: 139.633px 8px; transform-origin: 139.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The unit system will be specified in units as either ‘SI’ or ‘USCS’ (U.S. customary system); take the acceleration of gravity \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);\"\u003eg\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: 54.45px 8px; transform-origin: 54.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to be either 9.81 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"m/s2\" style=\"width: 33px; height: 19.5px;\" width=\"33\" height=\"19.5\"\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: 25.6667px 8px; transform-origin: 25.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or 32.2 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"ft/s2\" style=\"width: 30.5px; height: 19.5px;\" width=\"30.5\" height=\"19.5\"\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: 17.8833px 8px; transform-origin: 17.8833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The geometry of the channel’s cross section will be specified by a structure channelStruct as in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58314-compute-the-normal-depth-of-a-channel\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58314\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 1.94167px 8px; transform-origin: 1.94167px 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: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 87.125px 8px; transform-origin: 87.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSpecific energy for a flow is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"E = y + V^2/2g\" style=\"width: 95px; height: 19.5px;\" width=\"95\" height=\"19.5\"\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: 24.8917px 8px; transform-origin: 24.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where \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);\"\u003ey\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: 72.7333px 8px; transform-origin: 72.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the water depth and \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);\"\u003eV\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: 122.908px 8px; transform-origin: 122.908px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the velocity averaged over the cross section. The critical depth is the depth of minimum specific energy. Using the definition of the average velocity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"V = Q/A\" style=\"width: 61.5px; height: 18.5px;\" width=\"61.5\" height=\"18.5\"\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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and differentiating with respect to depth gives\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.6px; 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 18.3px; text-align: left; transform-origin: 384px 18.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg 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\" alt=\"dE/dy = 0 = 1+(-2) (Q^2/2gA^3)dA/dy = 1-(Q^2/gA^3)dA/dy\" style=\"width: 257.5px; height: 36.5px;\" width=\"257.5\" height=\"36.5\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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: 127.583px 8px; transform-origin: 127.583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThen using the definition of the top width \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"T = dA/dy\" style=\"width: 70px; height: 18.5px;\" width=\"70\" height=\"18.5\"\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: 211.6px 8px; transform-origin: 211.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e gives the condition for the critical depth in terms of a dimensionless parameter called the Froude number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Fr\" style=\"width: 18px; height: 18px;\" width=\"18\" 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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.6px; 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 18.3px; text-align: left; transform-origin: 384px 18.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Fr^2 = Q^2T/gA^3 = 1\" style=\"width: 95.5px; height: 36.5px;\" width=\"95.5\" height=\"36.5\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 230.283px 8px; transform-origin: 230.283px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFlows with depths smaller than critical are supercritical—fast and shallow (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Fr \u003e 1\" style=\"width: 44px; height: 18px;\" width=\"44\" 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: 114.742px 8px; transform-origin: 114.742px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e), and flows with depths greater than critical are subcritical—deep and slow (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Fr \u003c 1\" style=\"width: 44px; height: 18px;\" width=\"44\" 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: 240.533px 8px; transform-origin: 240.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e). A flow changes from supercritical to subcritical with a hydraulic jump, which can be observed in the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.youtube.com/watch?v=qsC9FUYpHqU\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003efield\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 22.9417px 8px; transform-origin: 22.9417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, in the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://youtu.be/5etwhZ0d2GU?t=373\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003elaboratory\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 47.8417px 8px; transform-origin: 47.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and even in a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://youtu.be/OoA1ASjMfag?t=24\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ekitchen sink\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function yc = criticalDepth(Q,units,channelStruct)\r\n  g = 9.81*(units=='SI') + 32.2*(units=='USCS');\r\n  yc = solve(Q^2*T/(g*A^3)==1,y)\r\nend","test_suite":"%%\r\nQ = 12;                                     %  Discharge (m3/s)\r\nunits = 'SI';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 20;                   %  Width (m)\r\nyc_correct = 0.33;                          %  Critical depth (m)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nunits = 'SI';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 10;                   %  Width (m)\r\nyc_correct = 0.74;                          %  Critical depth (m)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 400;                                    %  Discharge (cfs)\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 50;                   %  Width (ft)\r\nyc_correct = 1.26;                          %  Critical depth (ft)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 8;                    %  Width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\nyc_correct = 0.82;                          %  Critical depth (m)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 8;                    %  Bottom width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\nyc_correct = 0.82;                          %  Critical depth (m)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 45;                                     %  Discharge (m3/s)\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 1.7;                  %  Bottom width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\nyc_correct = 2.34;                          %  Critical depth (m)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%  \r\nQ = 45;                                     %  Discharge (m3/s)\r\nunits = 'SI';                 \r\nchannelStruct.type = 'triangular'; \r\nchannelStruct.size1 = 1.5;                  %  Side slope\r\nyc_correct = 2.84;                          %  Critical depth (m)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 14;                                     %  Discharge (cfs)\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'triangular'; \r\nchannelStruct.size1 = 1;                    %  Side slope\r\nyc_correct = 1.65;                          %  Critical depth (ft)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 250;                                    %  Discharge (cfs)\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'circular'; \r\nchannelStruct.size1 = 10;                   %  Diameter (ft)\r\nyc_correct = 3.72;                          %  Critical depth (ft)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%  \r\nQ = 8;                                      %  Discharge (cfs)\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'circular'; \r\nchannelStruct.size1 = 1.5;                  %  Diameter (ft)\r\nyc_correct = 1.1;                           %  Critical depth (ft)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-05-18T13:28:20.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-05-18T13:25:33.000Z","updated_at":"2023-05-18T13:28:20.000Z","published_at":"2023-05-18T13:28:20.000Z","restored_at":null,"restored_by":null,"spam":null,"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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\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\u003eWrite a function to compute the critical depth of a channel with discharge \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The unit system will be specified in units as either ‘SI’ or ‘USCS’ (U.S. customary system); take the acceleration of gravity \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to be either 9.81 \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"m/s2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rm m/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e or 32.2 \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"ft/s2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rm ft/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The geometry of the channel’s cross section will be specified by a structure channelStruct as in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58314-compute-the-normal-depth-of-a-channel\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58314\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\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\u003eSpecific energy for a flow is \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"E = y + V^2/2g\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eE = y + V^2/2g\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the water depth and \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"V\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the velocity averaged over the cross section. The critical depth is the depth of minimum specific energy. Using the definition of the average velocity \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"V = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and differentiating with respect to depth gives\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=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dE/dy = 0 = 1+(-2) (Q^2/2gA^3)dA/dy = 1-(Q^2/gA^3)dA/dy\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{dE}{dy} = 0 = 1 + (-2)\\\\frac{Q^2}{2gA^3}\\\\frac{dA}{dy} = 1-\\\\frac{Q^2}{gA^3}\\\\frac{dA}{dy}\u003c/w:t\u003e\u003c/w:r\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\u003eThen using the definition of the top width \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"T = dA/dy\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT = dA/dy\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e gives the condition for the critical depth in terms of a dimensionless parameter called the Froude number \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Fr\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eFr\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:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Fr^2 = Q^2T/gA^3 = 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eFr^2 = \\\\frac{Q^2T}{gA^3} = 1\u003c/w:t\u003e\u003c/w:r\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\u003eFlows with depths smaller than critical are supercritical—fast and shallow (\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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Fr \u0026gt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eFr \u0026gt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e), and flows with depths greater than critical are subcritical—deep and slow (\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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Fr \u0026lt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eFr \u0026lt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e). A flow changes from supercritical to subcritical with a hydraulic jump, which can be observed in the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.youtube.com/watch?v=qsC9FUYpHqU\\\"\u003e\u003cw:r\u003e\u003cw:t\u003efield\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, in the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://youtu.be/5etwhZ0d2GU?t=373\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003elaboratory\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, and even in a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://youtu.be/OoA1ASjMfag?t=24\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ekitchen sink\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. \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":57969,"title":"Compute flow in a partially full pipe","description":"Problem statement\r\nWhen does the maximum flow occur in a pipe? Intuition might suggest that it occurs when the pipe is flowing full—i.e., when the depth of flow  equals the diameter  of the pipe. \r\nWrite a function that takes the ratio  and produces the flow rate as a fraction of the value for a full pipe. For example, when the input is 1/2, the output should be 1/2, and when the input is 1, the output should be 1. Assume that Manning’s equation applies and Manning’s roughness coefficient is constant. \r\nSee Test 13 for the answer to the initial question.\r\nBackground\r\nSteady uniform flow in a channel is often computed with Manning’s equation, which results from a balance between the component of the fluid’s weight in the flow direction and friction on the walls of the channel. The shear stress on the channel walls is computed with an empirical relation. Manning’s equation for the flow  is\r\n\r\nwhere  is Manning’s roughness coefficient,  is the hydraulic radius,  is the slope of the channel,  is the cross-sectional area of the flow, and  is the wetted perimeter (i.e., the perimeter of the solid wall of the channel that is touching the water.) The coefficient  is 1 for SI units and 1.5 (or 1.49) for U.S. customary units. ","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: 392.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 196.4px; transform-origin: 407px 196.4px; 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: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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: 384px 8px; transform-origin: 384px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhen does the maximum flow occur in a pipe? Intuition might suggest that it occurs when the pipe is flowing full—i.e., when the depth of flow \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);\"\u003eh\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: 65.35px 8px; transform-origin: 65.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e equals the diameter \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);\"\u003eD\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: 38.5px 8px; transform-origin: 38.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the pipe. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 109.933px 8px; transform-origin: 109.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"h/D\" style=\"width: 29.5px; height: 18.5px;\" width=\"29.5\" height=\"18.5\"\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: 251.258px 8px; transform-origin: 251.258px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and produces the flow rate as a fraction of the value for a full pipe. For example, when the input is 1/2, the output should be 1/2, and when the input is 1, the output should be 1. Assume that Manning’s equation applies and Manning’s roughness coefficient is constant. \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: 150.917px 8px; transform-origin: 150.917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSee Test 13 for the answer to the initial question.\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: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 369.8px 8px; transform-origin: 369.8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSteady uniform flow in a channel is often computed with Manning’s equation, which results from a balance between the component of the fluid’s weight in the flow direction and friction on the walls of the channel. The shear stress on the channel walls is computed with an empirical relation. Manning’s equation for the flow \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);\"\u003eQ\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: 7px 8px; transform-origin: 7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; 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 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = (C/n)R^(2/3)S0^(1/2)A\" style=\"width: 105.5px; height: 35px;\" width=\"105.5\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 64px; 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 32px; text-align: left; transform-origin: 384px 32px; 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: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \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);\"\u003en\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: 112.55px 8px; transform-origin: 112.55px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is Manning’s roughness coefficient, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"R = A/P\" style=\"width: 59px; height: 18.5px;\" width=\"59\" height=\"18.5\"\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: 73.5167px 8px; transform-origin: 73.5167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the hydraulic radius, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"S0\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" 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: 87.125px 8px; transform-origin: 87.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the slope of the channel, \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);\"\u003eA\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: 39.6667px 8px; transform-origin: 39.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the cross-sectional area of the flow, and \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);\"\u003eP\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: 278.1px 8px; transform-origin: 278.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the wetted perimeter (i.e., the perimeter of the solid wall of the channel that is touching the water.) The coefficient \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);\"\u003eC\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: 182.383px 8px; transform-origin: 182.383px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is 1 for SI units and 1.5 (or 1.49) for U.S. customary units. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function f = pipeFlow(hoverD)\r\n  f = hoverD.^2;\r\nend","test_suite":"%%\r\nhoverD = 1;\r\nf_correct = 1;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.9;\r\nf_correct = 1.06580;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.8;\r\nf_correct = 0.97747;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.75;\r\nf_correct = 0.91188;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.6;\r\nf_correct = 0.67184;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.5;\r\nf_correct = 0.5;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.4;\r\nf_correct = 0.33699;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.3;\r\nf_correct = 0.19583;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.2;\r\nf_correct = 0.08757;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.1;\r\nf_correct = 0.02088;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0;\r\nf_correct = 0;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = (1:6)/7;\r\nf_correct = [0.04395 0.17812 0.38187 0.62268 0.85931 1.03672];\r\nassert(all(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4))\r\n\r\n%%\r\ng = @(x) -pipeFlow(x); \r\nhoverD_max = fminsearch(g,0.9);\r\nhoverD_max_correct = 0.93817;\r\nassert(abs(hoverD_max-hoverD_max_correct)\u003c1e-4)\r\n\r\n%%\r\nfiletext = fileread('pipeFlow.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":9,"created_by":46909,"edited_by":46909,"edited_at":"2023-04-08T16:02:01.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-04-08T12:50:01.000Z","updated_at":"2023-04-08T16:02:01.000Z","published_at":"2023-04-08T12:50:08.000Z","restored_at":null,"restored_by":null,"spam":null,"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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\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\u003eWhen does the maximum flow occur in a pipe? Intuition might suggest that it occurs when the pipe is flowing full—i.e., when the depth of flow \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e equals the diameter \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"D\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eD\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the pipe. \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\u003eWrite a function that takes the ratio \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h/D\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh/D\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and produces the flow rate as a fraction of the value for a full pipe. For example, when the input is 1/2, the output should be 1/2, and when the input is 1, the output should be 1. Assume that Manning’s equation applies and Manning’s roughness coefficient is 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\u003eSee Test 13 for the answer to the initial question.\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\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\u003eSteady uniform flow in a channel is often computed with Manning’s equation, which results from a balance between the component of the fluid’s weight in the flow direction and friction on the walls of the channel. The shear stress on the channel walls is computed with an empirical relation. Manning’s equation for the flow \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is\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=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = (C/n)R^(2/3)S0^(1/2)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = \\\\frac{C}{n}R^{2/3}S_0^{1/2}A\u003c/w:t\u003e\u003c/w:r\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\u003ewhere \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\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is Manning’s roughness coefficient, \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R = A/P\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR=A/P\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the hydraulic radius, \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"S0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the slope of the channel, \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the cross-sectional area of the flow, and \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"P\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the wetted perimeter (i.e., the perimeter of the solid wall of the channel that is touching the water.) The coefficient \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is 1 for SI units and 1.5 (or 1.49) for U.S. customary units. \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\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":61183,"title":"Estimate brake line pressure required for a given force.","description":"Hydraulic braking systems amplify pedal input to generate braking force. Given braking force and piston area, compute the hydraulic pressure required inside the brake lines.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(33, 33, 33); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none; white-space: normal; \"\u003e\u003cdiv style=\"block-size: 42px; display: block; min-width: 0px; padding-block-start: 0px; padding-inline-start: 2px; padding-left: 2px; padding-top: 0px; perspective-origin: 407px 21px; transform-origin: 407px 21px; vertical-align: baseline; \"\u003e\u003cdiv style=\"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; padding-inline-start: 0px; padding-left: 0px; perspective-origin: 383px 21px; text-align: left; transform-origin: 383px 21px; white-space-collapse: preserve; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; \"\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: 0px 0px; transform-origin: 0px 0px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eHydraulic braking systems amplify pedal input to generate braking force. Given braking force and piston area, compute the hydraulic pressure required inside the brake lines.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function P = brakePressure(F,A)\r\nP = 0;\r\nend\r\n","test_suite":"%%\r\nF = 4000; A = 0.004;\r\nP_correct = 1e6;\r\nassert(abs(brakePressure(F,A)-P_correct) \u003c 1)\r\n\r\n%%\r\nF = 3000; A = 0.003;\r\nP_correct = 1e6;\r\nassert(abs(brakePressure(F,A)-P_correct) \u003c 1)\r\n\r\n%%\r\nF = 0; A = 0.005;\r\nP_correct = 0;\r\nassert(isequal(brakePressure(F,A),P_correct))\r\n","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":2305225,"edited_by":2305225,"edited_at":"2026-02-02T06:25:47.000Z","deleted_by":null,"deleted_at":null,"solvers_count":52,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2026-02-02T06:25:43.000Z","updated_at":"2026-04-20T17:53:16.000Z","published_at":"2026-02-02T06:25:47.000Z","restored_at":null,"restored_by":null,"spam":null,"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\u003eHydraulic braking systems amplify pedal input to generate braking force. Given braking force and piston area, compute the hydraulic pressure required inside the brake lines.\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":58314,"title":"Compute the normal depth of a channel","description":"For steady uniform flow in a channel of constant cross section and slope, the depth does not change with distance or time. In this state, the component of the fluid’s weight down the slope is balanced by the friction from the wetted perimeter $P$, the portion of the perimeter touched by the fluid. \r\nAs described in Cody Problem 57969, the normal depth, or depth of flow in this state, can by computed from Manning’s equation for the discharge (or flow) ):\r\n\r\nwhere  is Manning’s roughness coefficient,  is the hydraulic radius,  is the slope of the channel, and  is the cross-sectional area of the flow. The coefficient  is 1 for SI units and 1.49 for U.S. customary units.\r\nWrite a function to compute the normal depth of a channel. The unit system will be specified in units as either ‘SI’ or ‘USCS’ (U.S. customary system). The geometry of the channel’s cross section will be specified by a structure channelStruct with the following fields and possible values:\r\n\r\nThe side slope is the horizontal distance divided by the vertical distance; for example, a side slope of 1.5 would mean the bank rises 1 m for every 1.5 m in the horizontal direction. \r\n\r\n","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: 850.2px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 425.1px; transform-origin: 407px 425.1px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 380.017px 8px; transform-origin: 380.017px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFor steady uniform flow in a channel of constant cross section and slope, the depth does not change with distance or time. In this state, the component of the fluid’s weight down the slope is balanced by the friction from the wetted perimeter $P$, the portion of the perimeter touched by the fluid. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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: 49.7917px 8px; transform-origin: 49.7917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eAs described in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/57969\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003eCody Problem 57969\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 15.55px 8px; transform-origin: 15.55px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, the \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: 40.85px 8px; transform-origin: 40.85px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003enormal depth\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: 197.833px 8px; transform-origin: 197.833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, or depth of flow in this state, can by computed from Manning’s equation for the discharge (or flow) \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);\"\u003eQ\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: 4.275px 8px; transform-origin: 4.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e):\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; 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 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = (C/n) R^(2/3) S0^(1/2) A\" style=\"width: 105.5px; height: 35px;\" width=\"105.5\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 43px; 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 21.5px; text-align: left; transform-origin: 384px 21.5px; 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: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \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);\"\u003en\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: 112.55px 8px; transform-origin: 112.55px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is Manning’s roughness coefficient, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"R = A/P\" style=\"width: 59px; height: 18.5px;\" width=\"59\" height=\"18.5\"\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: 73.5167px 8px; transform-origin: 73.5167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the hydraulic radius, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"S0\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" 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: 85.1833px 8px; transform-origin: 85.1833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the slope of the channel,\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: 1.94167px 8px; transform-origin: 1.94167px 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: 13.6167px 8px; transform-origin: 13.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eand \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);\"\u003eA\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: 20.6083px 8px; transform-origin: 20.6083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the cross-sectional area of the flow. The coefficient \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);\"\u003eC\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: 155.942px 8px; transform-origin: 155.942px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is 1 for SI units and 1.49 for U.S. customary units.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 383px 8px; transform-origin: 383px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the normal depth of a channel. The unit system will be specified in units as either ‘SI’ or ‘USCS’ (U.S. customary system). The geometry of the channel’s cross section will be specified by a structure \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: 50.05px 8px; transform-origin: 50.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003echannelStruct\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: 16.3333px 8px; transform-origin: 16.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e with the following fields and possible values:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 129.7px; 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 64.85px; text-align: left; transform-origin: 384px 64.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 435px;height: 124px\" 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yqVj0aJF/e8Qj9g7MHnyZPesheHbtfD7rLPOcue2LJPSRlgBvvPOO86FlHaCePzZn/1Zw2l77rnnslNOOSV7/PHHB5QRwiZlu++++7rfdSjSEBEO6UEbFZY5X4HBr3/96+Q9yhPIl5Rdz5e+9CVXT8DyhXwi3eQtQpH5b/XI/IrVIysD8or4V60XQgghukNHNUQhDDLMsidMmNBv24GLoMVsHtsjBhCuzZs3zwk8jz32WHb++ee7QQUhx2Bw+da3vuUG7JUrV/Y/j3Zh8eLFbqBCOOMaAxjw5Ru/OcaNG+euAQPX0qVLs9tuu83dw73qqqvcvfnz5zvXQLNAOjAcP+KII1xcy94xu5sLL7ywPwzSbvFiwJ0yZYo7L4OwQ/uWIg3RySef3HDa7rrrLpevYRm1kjIbohkzZjjXL3PqH3kJ1AcTgMDuHXjgga7cgXwhPSHUka9//evu/Kc//Wl/vlCPTLAkfy3NVo+OOeYY9ztWj6wMiFfVeiGEEKJ7xBQJIbU0RClM+wC33HKLc30QYiD2ZdrMmTOdpmjZsmX5lax/yQshI4wXA5gv8Bhm3+Rjg134PAIKmeULGgzgu+yyi7uOwMDSkQ9G5MSTQdEXHm3g/uM//mPnGscff7xzn3rqKef6bNy4MT/bimk8YvYtsYIlbXPnzh2UNuJZlDb4p3/6J+e2izIbovHjxzvXL3O0i8QZARZ8LaTde9/73pdfSefL9773PeciaPtxoB6xBMs75G9qAhCrR6YhaqReCCGE6B7+GJgiKRDV+Wdl0z6gFYkJVvYpN5of7C/8gy+aWMZYt26dewZsUIoJPiGxASwEDRWDoYU5Z84cl1n+gMrg+fLLL7vrDHyxAR2BJdTg8A6kvnbzjdURFCC2ZGZaiNgXUEUFyyDsp438LEpbqoxaSZmGyJaiECbtORMc0agRd5bU7J4JyKZZglS+WF1jGSvE8iCWx0X1yMqmrF4gGAkhhOg+/hiYIikQ1fkvMwYJf4AJMWEB24vwMGNWNr6zGbYNaiy/lVH22T1CAnYn2CNZmCwbxSAdqUxEiODP4kINji3hLM61YIZpP/x8Lfq027QQof92PQZpY2NCP22WnyFF/rSaMg0Rgi6CGXZMLJsC+YXAcdBBB7llKe5ZPpiwctRRRzkXUumx+lCk6Ylp4YrqUVHe+fXCt/0SQgjRPWIT5pC22BAxw/YHmBCLGIII9hex47vf/W6/5oIBEdDsVIVBKwSBASGBgRZbGwuL8xgprQOQP/xZHJoAX8Ni2g6MdvnCizD58gjBhEHfBKYyUhoiux7SaNpS/rSDMg0R2JIi8aWcyS+WVBFO7B42RnYv1Gyl0hNbjjRSeewTq0dFeefXi6JJgRBCiM5RRQHQdhuiGBhTA7P+FAw6hmmGip4P8d83TEvAEpm//Obb0/ikroOvCfCFx6uvvtq52L5g64KQgj0JS1f2pZOBFoJ8itmbmHYqpr2IxanRtBVpOVpNlX2IECSJzwMPPNBvh4VQAdh4kU9ojR566CF3ja/+fFLpwfAaYrZb9k6Yxz6xegSpvKNecBT5KYQQorNUUQC0TUNUFLh9Kh0zuAbsRXxtkBndxp7HXsZ/1pY6YgOgCQ3+cgjpxBg5Fl+zMYkR0wRwjeW9/fbbL5s9e7b7wsk0Neecc84gIRNhxQxwCcu0KKTn1FNPdWHjt/9eWd6GpNJWpOVoNVU0RAhxaALJCzOgtt3PWWZkKRDN0O233+7yxF8ug1R6UnWNPOa/z2J5DEX1CFJ5x55R1ANpiIQQYuhQRQHQNg1RUeAsG9nn9WxmZ0tLHPxmIz7TBACGtSyR2PNsvmfPYi/jP2tLUnzWzzP4bUa49lUbg6T5YXsGpWhEE8BvBl729mEAJ352EA/C9IU3njfDYOL0uc99zglSnKN9Imz89oXTlCbElpUwHvbzJ5W2oaYhAksDcQ6XxEzTw75KfBLv34NUnaM++HXH6gR5zPIi2sowj6GoHhVpDtljK2ZbJoQQontUUQAkBaJWfGVWxEUXXZTdeOONblBikGMQ5GCAwo4EIciHvYeuuOIKNxChKeBZ3mUpyn+Wc4Qt4Jknnnii366He+wT4/ux//77u/BSA1wqHb4mwB+c8YuMJ24sm9nBAEmYDMT+pn3kA+lCm8B97KpIE5oQCDUNKU1ILG2Wl7G0DTUNEVg5wSGHHJKf9UG+GSY4+RRpzqg7fp2gvpHH7Ltky5ahgBXWI96x+FXVHOorMyGEGBqkxnifbX6/hfx8EOwwLaqDoIOGBo0Eg3AIGgY0Dgy0CELNgnYnZdvSCFSQdgtFaEvQEHVC+KqanlblnxCdgmV49cdC1IN2VERbbIh6Hd9Gyefpp592rtlENUurBvNOCClQVUNUl6rpkTAkhBC9hTREXYD/trKB2XZZBpZdgKU0lmp6hU5qiIQYqUhDJER9yjRESYEIDRF/qikag3zjf6z4fBxDXgN7Hoy6fXunXgCBCJ5//vlKhtVCiMFIIBKiHmiI9thjj/xXHGmIRFuRhkiI+kggEqI+TdsQ1fnKTAifTtkQCSGEEDFq2xBJKBJ1YVNF1SMh6qF2JER9yv6jNakhEqIV0ImHe/wIIYQQQ41So2o2IAR24K167rvQyHmZ6z+bOmd5BgPeTrghXG8VReGAH5ciyvxpF4RpNkQvvfRSfnVkQ5r9Orvddttlmzdvliu3KZd6RF/8sY99LPvJT35S+T25cuX2udYvQ9NfmQEN0IQNIZpBX5kJUR8ZVQtRjypfmRUumUkYEq2g6n+ZCSGEEO2gypfO+spMtB19ZSaEEKKbVPnKLCkQlVljC1EVaYiEEEJ0k1oaIv2XmWgV0hANf+gP+FuaqVOnOmPxocbChQuziRMnuj9QFkKIkFoaokY+lX722Wdb3hnh50gUyiyvzjzzzPxKeyGcbg8UrdIQNVonLK8ZxLtRlwj/oIMO6lhZt5P777/fzbDOO++8IWlbOGPGDNfhLVu2LL8ihBBb6YiGiNniF77wBfcVRKv+p+vBBx/MTjjhhOywww4bkUIRHXfqH/FbTafCKaIVGqIVK1Y0VSfGjBnTf3QDPvscCmVQB8ru3nvvdeef/vSnnQuUA1ojhM5UmVR5xjAtz7nnnptfiUOfY4L+I488kl/tE4qWLFky4JoQQkBHNET33HOPE2D+8i//Mr/SR6zDqsrOO+/sXP4ZfiTBwLLLLrt09H+9Hn74YeeedNJJzu0GrdAQIVRBI3WCMEeNGpW99dZb7ugGhD/cWb9+ffboo49mJ5544oBypI+wfoIyjlHlGeOP/uiPnOBKf5ISnmhD77zzTrZmzRpXFyZMmJDfyZzADEuXLnWuEEIYbf/KjCWByy67zHX6p5xySn61jzqz4kmTJmWrV6/O7rvvvsqC2XCAweTll1/Of7UfZtxUgosvvrir+dgKDVEzdYIwSf/YsWO7piHqpPDbLh566CGXjuOPPz6/0gdCCwczLxNYQ6o8Y4wbNy475phj3DlLdDFoQ4sXL3bxOf300wfUBYQjwlm+fHl+RQgh+qilIaryldmGDRuc+6EPfcjN2kQ1qhRMK2CmzSz6jDPOyK90h259Zbbjjju6vH7llVe6oiGy8Ic7Zpezzz77ONdAGGHjTYSTMg1R0TM+JnQV2QKtXLnSuSyf+hDOEUcc4TYw1LKZEMKnyuS0tg0RMAO3mdrll1/ulspYywcGY35zmGGvGbtee+217vyTn/yk+23Gr3Z/1qxZ7nkf7vGe+cnB8lysAwzDsbhxEFaq0yQO/rPhYUayvO//9rGwYwa9qYKpkzbC8cNjlkwZXH/99f1l0y2qaIiIry2z2vH5z3++P+8svbE6gU3JggULBrxLviCwk9cpDVEszJtvvnlQeaUoi/Obb75Z2Ahj7/P7ySefzJ/Yil/eENbPIqP5OunkGZZd0QL7y1PAvRdffNHda0ZDZGmwNMGRRx7pXOpuLH7kA/cOPfTQbP/998+vbsXi+NRTTzlXCCGgloaoyiBqyxi33XZbfiVzhtXTp0/Pf2XO7oDfHNbZAZHDDmDatGluRocmY+3atfndPmPYEAQD7ARuuukm1yHiJ+6qVauc4BUTHPxwFi1a1P8OYaXemTJlinvWwvDtVvh9/vnn57/6SC0PxgoAG6LY9bppIz1+HpIGymbfffd1v7tJmYaItF1wwQUurVZfJk+enP30pz/Nn+jTtqSWvebNm5ddc8017tzyjXy0ZdyYhggBIgwTvvzlL7ulmNhg7FMlzqQ5VtYQC9/Km3iHAg7pB5ZcESKon368Wbr2BQujTjp9IRYtcGgPRR+BhqhIO2zPxDREpmGmDhssmxFPiC2bsXwHxD32tdv48eOd+/TTTztXCCGgYxoiH4SkK6+8sr9Tu/TSS91vDjo7g8gx02NGZ7YhuCaI8cdsMejQMZpECMNP3Kuuusrdmz9/vnN9LBxU6fhf9o5vd2NhEDdLDwIfwkYV8MfXngEDWqpgmk1bKg+HCkUaIrQ7V199tTsn7Qg3pP3WW28dYC+EtiW27MXXZwg/gDBi+cayigkjoYYILQMCxIEHHujyy8LkHGEXoTJlwwJV40yaU3EmfPDfJ9433niju859vw2SfjBByI83NjVAPvjv1E0nAh1xpZ4hbIcCCGGhIQIEFLSTaKJ8l8OE9FBDZBOJUPOUWjYjvDlz5jjBLPWRgC3r+UKWEEKkJqc+tTREVbBZoI+vJbnllluc60NHHNMGmLDlC1aAgIJ/YVgWDp05g4GPdah01v4gwhc1ENonWCddVRVvYaOd8P2HWME0mzaI5eFQokhDxCBrA2Osrhgpe5zvfe97zmWA98Og/rJUZGXgCyYmQMQ+7545c6Zzi2xYGolzrB4jNAHCT6y8TQPpCyuW/lhdpu7EtCp10wlFtoTksfUTtCMONFG+y5HChLOLLroov9IHkw7SGi6bIeQgnB177LEt65+EEL1BShHhkxSI6v6XWdFAYVoSOvFYx2ZfB6Vg5stghw0CB7NGng+Xriwcf8nLh043psEpoupfmljYof/QyrSl8nAoUWZDZIMzS4OkmTwISdnj2LYCvBvil4Et9xAPewdhwPLZDjSDgGDcrjjzz/+QqkuxZR/zK1WXrX7477QinUUTADRlCCwIfWjkEG7845lnnnEu7YyjEdhTCHwB76677nLuZz7zGefGqGK4LYToPar0QUmBqO5/mYUDeEhR5FJ2NkBnjq0NdhEsH3BYRxkj5Q9CBLYNoQaH2TawlOFjM+lG8oWwQ/87kbahRpkNEXmONgMbGtJMHqAp8YUM3o+lt0xTY2Vgdi74Y++wh5blsx1oJQCNUmy5y4jFmeUhP84prZYJKuFSUYi/7JPyy7B669OKdIZflvmgKaMNpd63ZT7aGsJcI8IK+Qm+Buvuu+92Lhs9pkgZdwshepvY5DSk5TZEISnBqKgTtpl9CAIDnTmzZAQWm4mGwotPKhNIH/YPoX0Jht/8xh4DOwjCZKBjAEEbExt4UhB26H8n0jbUKNMQAflqtj8sGf361792g6IZk/N+LL0bN27Mz+JQz0ItnfmDoGD5HB6+LVCKMM4sD/lxTmmIsGeDMjsXX2BK+WXEjIgtbxCqY2nkKEvna6+9lp8NxtpQbFnQ8LVIjQgrpB0B0JbNyFPSX6YRlYZICBGjaEJpdMWGiFl6UScKscibXywj+bYXKa1LkTaG9JmGyBfOMJblNwbODFgIKQx0LDH4tht00jZgcZ/fPhZ26D+0O21DjTINkQ/lgk2JGZPbkk1KQ4LBMMSWdsyGJ9TSodUBdl9uBY3G2epNajnKtCK2dAZlGiITrg4++GDnguXN448/7txm2GuvvVy4sTpOujmKJjdlWqQU+GvLZnxQYBMDs+VLsW7dOueWad+EEL1F0YTSaJuGyDRDsU4/Ndv3id23GS+Dg0E8586dG30+pY0B3jMNEZ2vXWM5Ay3N7Nmz3Rc2NpM+55xz3DOGvcNggT/+bJ9lE5Z8CJsB2Z41ytLu00zahhpFGiLyHE1caINjWhZbokxpSGxpJTQsx7+jjz7avcP/ifllkHrHIOzYXkBGq+LMF2ChH9iPoRWhDvr/DWh+cY+9mPz89N8x42qom05A8Ab7msyHfOAoEtS4H3sX2CYg3IfIx+L/wAMPuK8/EWTL/i/RysAXJoUQoqifMtqmIbKlJTp9loMYQGxvlTLtRur+ySef7Fz2aWFQwF8ED7Q4KVLhkD4OX3vAbwYPOnC+MrNN7DiIP2H6AxjPM4tloMK41uJER86smLCZGZv/kJrp28zX98f2m0lRlIdDiSINEXmIMEme2RIlri0fmr1IKt+oZwgBaDDIL3sf/3ifQZQtHPwy4B1b4rKy5T3Lc8qgSHtUNc4puycLH/DDyhs/sB8DNIU+ln78/+53v5sdcMABg97hn+h96qYTSCtLfNRxX+gH7nHEhD6D+7SFGGZLFfprEH/STPwJw5YaizBNa5HtkxCi9yjqp4ykQFT3KzNmctbpM1DwGa5tzFim3Ujdx0+WJegkmRHjL6px1OmxgQdS4TBAcoT2JfjFOww8LJvZgeBEmAxgNgsFlkquuOIKpwmyOLG8dvvtt7v7oQ1RSmsQSxuDeVHahsvfpZTZEKHhII+pI1ZX+B3uQ5QqS5Yyw7pGGfA+msqwjIFy47N3ytnC9fO8TBNRJc5FmlA/fCtv84PwEQZ8LP08/8Mf/tDF097hWirOddMJqS0nfPugFNxnghFu6ggm4BQtb11yySX5WeZ2tC+CyQp5SdrC/BNC9DapcdRnm99vIT8fBDtID3fIhNSgFIKgw6wZjUO41wug4ULjxeDLQCPKQTuAhqhqGRSBlgTBYDhRVv+qponP40899VQnRMTqZjspaxdDBYvnSGyf++2334joj4XoJrSjItr+lVm3aWQgti9UUl/G2Zc8sk9ojCpfmVVhuAlDUFb/qqapSNvUbtC2oHX5/ve/P6T7BVuSt6V1IYQwqmiI2v6V2XAC2w8yjSUFs0fxbS74FJ+lhyrLDGIrjXxlJuJ0+6tC/poDe7iiv/roJiyXsVyJFiv2p69CiN6myoSybTZEwxVsQ1C5I/iYvYXZXGDjQ6crGqNVGqJepttfFTIJQCDDNm4oliV/+kr+lH2WL4ToTapMKEe8DZHoLq20Iep1hqMNlWgNsiESoj49b0Mkuo80RK1BwpAQQjRHbQ2REEIIIUQvkBSI0BDxf1JC1EFLZkLUR0tmQjQPKxR82NP0klkvfmUmhBBCiJFF6l8DQmRDJNqObIiEEEJ0k1qf3UtDJFoFxsDah0gIIUS3qKUh6tV9iETr4XNxIYQQolvU0hDtuuuu+ZkQ9cCoWktmQgjR948IU6dOHZJmKfz9Df/KYH+DM5LomA0R2+aP1ExsN+RdM3ldt0GZP7Nmzcqv9IGfZ555ZkvLExuiIlJxEZ2hU3VQ5Tw06FR5t4qRVG8WLlzoNBUXXnjhkDRLOemkk5zgsGzZsvzKyKFjNkRXX321+6uLU045Jb8iqsC/c59wwgnZYYcd1lBHU0XSrQL+bNiwIf/VB+We+nPbZqliQ0Rc9Gl+5/HrYCPL5M3WQZVzd+l0ebeKkVJvHnzwQecee+yxzjXQGiH0rV+/Pr8ymCrPgGl5mNiWYZNf6gXQ/8+YMSNbsmRJ/7WRQpU6XNuGaMGCBS7zZs+ene2www7u2qZNmwZltBiM5THC5JgxY9x5FegYxo4dW3uGgT+h8MPS1sMPP+zOmS20gio2RMSl3Z0uQmdRvSy7PxLx62Ajy+T80WtYB6vkXyfKWaRpZXl3kpFQb9B0MVbyB8RhuwHSt/POO7vzkCrPGEceeaRzn3jiif73YhCfVatWuf/pnDBhQn41cwIzLF261LkjBepQGbVsiMjQr33ta+4c6dVAMGq1lmEkMmXKlGz16tXuD2OrfoVl/3r+yiuvFFb2IhB6Uv+efuedd7qKc/HFF7es8yuzIUJg6kRnR3qK6mXZ/ZGIXwerQl1FgA/rYFn+daqcRZpWlnenGCn1hj8ghvAPiGk3HEUDdpVnjHHjxjmhCyH2/vvvz68OxuJzxBFHOL+NSZMmufx+4IEHulLe7aJKHaplQ8RyCwXEbMPPULCCM62RqA9Chf3rObO1RrRKPnRwqX9P59/MmTGcccYZ+ZX6lNkQsaRWpaG3go0bN+Znccrui756aHUwbPdF+dfJchatwy/vZvucOoyEesOqyb333uvOTYNjMNZyWN7GJo/2zKhRo/IrxZjQlbIFIgyLT6yvR0hau3Zt6fLccKJKHWqJDRGYAHX55Zc7lbktu3zqU59yvznMSNeM5K699lp3bmp2jPasAHC5b+/a/Zgq3vcPLA52FBkHL1++vD98O/DH0mOEz/iHHyfWiMNn+Z2KN5o17sdgOdL357rrrnPXkXSZrTED8MG/qnkGocTMc6hQL7300obLv4iqNkSGX37kT1H5Vc1v89PW8OkE7Hn8L7vv02gZc9/qup82v2y45/uJAWlYBw06M97jOd4JIb5l96ytWB08++yz3e8QjEAtTv57VgfDdl+Wf0XlHMs/0Rix/syvS3XLO+xzoGofmqIszhD2VT7Ntkfw6yBH2NZ96qQTxQACBoQmBPS1/MUReYs2PdZX2jPvvPNOfmUrlgZLE5i5A0t0sfgxvj766KNOmcFqQYgtofHMSKGoDhm1bIhQrZn61QbQ0047LZs+fXq/JIvqjt8coWSMloL1SgZhCoYKw/ooFfm4447LbrrpJqet4F1c7tPRpjpO/KNiLFq0qD9cuOyyywZUFoPGf8EFF7jw7XkyjXBPP/10J9Ub/LZ02BFCYzr33HMH+Ee8+U28Y40NqTW2zEAlv+aaa9y5+UO8yC+TdH2hhTzhXiN5FkrMVp64raSqDRFxPeSQQ1z5WR5zvaj8qua31UuDDwAsDOpl2X2jkTB9rK5b2vyyQfDlHgMO92gLdGTUudhskQ6TDou6+thjjw3q8Kys8S/E7hGeQUcc6yyog1dccYU7tzj7dXC77bYb1O6NVP7Fyhl/uZ6qp6IaK1asGNSfkbdo8v2+grxuprzB9weo70V9aKz++jQS5xh12mMrx4qydCKI8d+gxG2nnXbKr/ZB+33xxRfdmJnSptszMX7xi184d82aNc41iCfEls1YLiNPsf0NyxTGjx/v3Kefftq5I4FUHfIp/Lf7On8miIRPp45hFmuaPkinp556qosgnT8CFYMmmgSgU6Qiz5w5s/9dpGMqHxUWdd43vvENdx18/6gE8+bNy+/0+UXDgJUrV/YXPhV02rRpzt9wPZ0GQVhXXXWV6+hjED/iYuH54YRpZgZDowU/DlRy1vRJT5U42/OWbyxv2b2yPJs8eXJ26623uus0XgbBWNithjgw63nppZeiMx8/LlZ+CIJ+uiwvfvCDH/TbtjWT32D1cvHixVHBr+h+M2EW1U0LC84///zsoosucudAftCBpuIJqXqKBoDwIHwff0ePHu1sxZi1MvFhNtmKOghF+ee/6+dFqp6KrVT5c1fqH/Uw1ucarexzqDtHH310fx/uU6UPhSpxrlJHW9EeU3lQd6wA8zsM0yCPae/kJUuTTGZYQqNv5Pcbb7zRX/5+3MDiEPYh4RjlY31E6JdRFt/hCALsHnvskf+KU8uGqArhZ93AIEhhEEEaGJgwBHSkV1555YAKjnTMTJN3OHzMP6RvKocPfnEdfEl5/vz57h0k5BBrFKn1VxoIFY14mBbHZiKEHzZsOnkqK/hxSNnxmF+hYTPnqG0htN8oyjNgEDSKbIjaQZENkR8XyonGF6bLyg+ByLA84vmq+e1TZjwdu99MmH7dDDsWW+en0/E7MmCfEnjqqaecG8NmcX49pSMjPJvxMlAYDBLW6ZptX8o+o5k66BPLv7CcDaunDAAvvPBCflU0Atpsa+OxPtdoZZ/zla98xbnN9KFQNc5ldbTZ9nj99dfnV/tox1hhMClMwVhr4y3aU7RQuI8//nj/bxOGYjZE9B1o9sM+BAGNMYoJij+eo5UjPfQ7qfb72muv5Wcjh1gdCmmZDVEjMAhSUEj8ReEgzdMYUeVyWMUMMf/ohGNG3IQDvvrPGuC3v/3tfv/9cIDKGIN9l+CSSy7pj7/5FzZMI6WCDIU7ML/YKySEDo13fPsNH4S1MM9SxMJuB2U2RNxjMEwJKVZ+NHrD8mj33Xd3bkiZyreoA4bY/WbCZH0+lbZ99tnHuf4nryFFKmubIFBPrS6YAEVn+MEPfnDAlyJm1+d/5ZL6gqdOHYRU/vJeuGQAtJs999wz27x5c9JPkYZ+D+0wMEjT9ukLYrSqvO2dsj40VZ5V42z9e0jd9hjrk+qMFUX1dt26dfnZYBhD0D4BGhv6udjBRCZmQ1QEewqBL+CZlsvvB0LKPu0fjsTqUEgtG6IUSP5F0phJ6UVQ2bAjYt2WdV47YpT5Zw3Dxyo50rPvvx8ONhIhzMB5B+naV5HaYFM0uEG4zltFag2hUTBb86Exkmes91fJM2gm7GYosyGi/FANpwjLj/rVbH5buccgHqn75G8zYTKYFKWtDggRBx98sOuMbSCxrwSJ4wEHHDBAqCf+zDD9/aVSs2/Lh9gEw8ef0FAuRfkLhOVrKw3yF00R9brqlzRiIGg4brzxRlf+tHv6Agz3QyGj2fL2bcbA3inqQ4u0iFAlzrH+vdk+oKw9NjtWlKXTJj8xrO4XDdjkAc80CvkJpsHCn7vvvtudt2qfueFClfEuKRDV+S8zGlVR4ab2wDEY2KloSMSo/E1CRnqOkZpBGLFZts3YFy9ePEAK9w+rOD7nnXeec22pzLCZRTgAh/iNtywfYiBcMGCEBrPMVBrJs2bCbpa6+xCF5Uf9aia/IaWFAupR6j6dXbNhluVzHQHg5JNPdi6f0DKJIW7Ek/jaDJDZod1jh1y/407lveUDA08IdcfwZ8WUS1H+FtU54sRBvW50Fiy2gi3Kbbfd5to9S0YIxAyKTOSgmfI2TUqovbN3ivpQ4lJGM3Gu0wcUtcdmx4oq6Uxhdb9owKYMTIvUCAicpNeWzfgIg3CKlstGKkXlbrTdhig240BKLyp8k8jnzJkzYAmK92Iw2BZJ/TaTsPVhsEbSiCYMQY14M6MJK1OZfxixgh+HVD5YA4z5ZTP6cEZiabz55psr5VlZGbSSuvsQFZXfb37zG+eGWH6jQWmGWL0tC9Ps4fx4Qlk+1xEAzEaMPDL7IQvf7HKYHbKMyj2MQ31SeW9pjS1hWN0pmxWHFNU5+hsO/CTOoh6UCzYlGPuCLaU2U97Wv4blXdbnNUqzcW5le2zVWBFifbqvsTWs7hcN2NxHQ9TM5MmWzZg0m03hZz7zGeemsIm0pX0kUFTuRttsiCwjMQyLUUVaC0FCj4H0TCeKFMxXLlQeA0NSjNLQnGBZb5gqce7cuQOeNxhA/M6BwQYNDJI1M5oQ84/lqrBTIQ40tDAOEMsHW4oL44a/NqCF6/nW4PwlCzqyVJ5BM2XQDHRoNstMQVxi5Uc5FJUfzz/55JPu3MBo0PL7qKOOyq/2YfUyZaxcVG+LwqR+xOJZpv2qC8IvdZKwzTbAwufeMccc4/LVBocwPyiXWPwsrTfccEPlOghl+ZvKC/obZsD42a4lxpEOe+SEfU+o8Wi2vBHaw/K2d1J9KG3CtDwpqsQ51YbqtMdYX0O/0cxYUSWdaEfxF4Eo9IO6z1E0YFv7iE2e+JAn3IfIx+KPPSHbB4Tpi2ET6dgS4nAl1ff4tMWGCCwj+RoLzQoV374KgKLCN1U/hnZUWt6nwPm0MIbNYChoBkIMAy1M+/Qy3G8BVSJf4lBBeZ5necfCQrCxrc3BDKnBnrODQdv8AyqgxduPA9obPw4Qywf8YpCzuJk/+EujYPYSztbCPCO92JCk8gw6tTRBJ1QG+UC6wvKjHCBVfsCeN35+n3XWWe56LL/L6mXs/ne+8x13rShM+9okDLNI+1X05UkjWNnfddddg1ThJqDQ0cfU5LSdVtVBaLbdM0jIhqh5yD+Wjigf8tzynvZPv2iTrJQ2vZnytvaQ6kNpEynBGKrGOdWGCP+zn/2sO2+0PcbGCus3Gh0rytIJ+Ef+QbjExzIleVFU7619hM/4tlSppUP6AIQB4k/a2TcpbLch5qdpoEcCqb7Hpy02REBlts8e0azQIZthWZn9Cu+iNjVJnvdpkKj7Yu+ZhohKjnDC2rKFyTXei2l1+EwdDQrP8Czv+GFZg4Tnn3/euRYf/+Bd8P2z52wgwj9/KQuK8oFPScP845NYtABog8LZWphnDI5FeQadGniKbIi4bvlAuVF+xNvSTF6Sp2XlVyW/oaheQuy+708zYaby35YS65bDJz7xif4wTAAyGGyM2FclrayDUJS/RWHRQXPgp2yIGoe8o+0wcJPnlvf89vfOYXKSWpJsprwb6UNDqsa5qN4glDTTHnk+1tfwTt2xIgWCCITCE8vzKe2PQV7FnvFtqcK2b/AuX0QbCHVFoLFDuCKt5P1IIVWHfJIbM1Lx2bOkVVCYzVjJV4ECpOOnEfj7m4juQ7kDAmXZslkMOnBmde2irF62O/yRjvKvNVTZmFGU082xgmU1tElDfZyyeCIch3sbDXdoR0W0zYYopF3CEBTNIET3YUBsRhiCdg+mZfVSg3k9lH9iKNHNscKWJdFkhZq2oQQaL/C1yyOBKuXeNhuiTtLJL6ZE41SxIRJCiHbC8ny3xwp/K4yhCBo0bLgQ3BDgRhJdtSHqNNIQDV3K9iESQoh2Y1rqbo4V2Bqxg/wtt9wyJLVE9iFRzN5wuFOl3DtmQyR6k7o2REII2RAJ0QqGjA2R6F3q2BAJIYQQdamkGURDlGLDhg2/f+211/rdRs799xs57L1mXLDzun61w920aVPUtftVXN6xo+o7zbhhHJt1jarPttIN/W1VPavihmGX/a7q1vUnfL7oXqtdP/+LDp61uMjtcy0Pqz7XCpeygKrPx1wrT/udOg/jnzpv1C3KF0jda8atcl7mhvFt9HezbljW+MvBdQtjuLtV2PaKLeSy0SCeeeYZt88BX+LgsuyBgSxu7PqWzMs2btzo9kp47rnnBjxb1SVMNArbbLON859NxNj/wn5vSZjzl+fAwuE39+xd/Ct61g/Df67sfuhPVRf/+HNE/Pvd736XvfTSS/2/ff95jvzjvrkWD36TLgwD7d3YM838NtfiwnIpYRBes79xKT/bCK7sHdIPfv5y3/xq9Ld/nXwtqmdhGbQq/8z10+jXBXvP6nnoXyP++tdTbhgP/93wXixvQrdKHtp1y/syl3fCNtLrv9kHiDpCOZKXYXnadcv7sN5ULSu/v8Vv/3d4v8gfv8z9+7FzPx3hPVz8KwsvFa+w/vv55PsVuql3Ymm062Xn1reZG17nN2GV/fbjFuZbs/nklzUuf4eC7ScfVxEOz7a6Tnf6N22ibOVLNkSirZgN0S9/+UstwwrRJLIhEqI+siESQwLVJyGEEN2i1j5EQ3njKDH80Gf3QgghukWtfYg0oxetgP/rYv1WX5kJIYToFrU0RMNpp2oxdMEwz+yIhBBCiG7QUztVCyGEEELE6JgNEf9/MnHixOyOO+7Ir1SD94aSrZKlY9asWfmV9kG6zzzzzKbybTjSbDlbmUydOjXbtGlTfrWPoVZ/hBBCDE06ZkN09dVXZ3vvvbf7n5aqPPLII+7fdA877LAhMagRB/4JuVOQv+wt0ivUsUkzyZ59JIyhVn+EEEIMXTqiIVq4cGG2ZMmS7MILL8yvVINNHAFBatSoUe68mzBgs+Fhp0Db8fDDD7tCOumkk/KrI5dQu9MIbBQ2duzYAULVUKs/zUAbMy0hAp4QQoj20HYNEUsWX/ziF935scce69yqTJ48OVu9enV23333ud1phwpVpMhWcM8997gCmjFjRi3tyXCAnVKbLWO0dmPGjHE7qPpC+lCtP41AufeSllAIIbpFLQ1Rla/M2PabZQxm6SNlUK8iRbaCO++8Mzv00EOziy66KL8ycmFr+GZAq4TWjjIJNURCCCFEVWppiBr9yixcYlu+fLkzhGU5gGPKlCnZV7/61f7n0C4dfvjh2dlnn+1+G2ZEe+2117pzW1LALz+M0H/OeceeYQmC67wfYmGEfqKNSEmR69evd/5bePZ+bKmjLA28w3LZpZdemr8xskFDVAWWX/38nTdvnrtOmYQaIvI1Vn8AYb7Zsrr88suj7/jlyIHhvR8fH+qm/yyHXzfBwmG5Gc4444z+Z0Mj+yr+QZgWv95pGw0hRC9TS0OU6ux9Jk2a1L9s4c/e6ewvuOCCbO3atdn06dPdwf+i3XDDDdmKFSvyp/oktlQk0QxgNLtq1SqngcIvI+Y/5zfddFN2//3350/1kVqSsHD9eJs2IoRB8bjjjnP+o9UhPFzCZCCLDbSQSoPlG24vUEVDRJna/wxb/pLf5J+VSaghitUfyuLoo49uuqwWLVo06J0FCxa4ewhl3KMsEWROP/30/O2tIMxQNynzE0880T1PHImP/zwfIHDPsGc5jjzyyPxqdf98YvWODTKFEKJXqaIhSv65KzTzZ4IMOAwidMS33377gEHMBiMEAQQutEZHHHFEvyYA7DqRxw+ELZ8y/xGAxo0b1/8cg4jvPzB7njZtmtsw0PfDrodxwi8GppkzZzq/gXcZlC677LJBYZSloZcgn9AQFWmJrKxg5cqV/eUR5qNfVqn6g1/z58932rcqZYXmBKN2wgjvoQUyDc75558/YHkT7RTvLF68uF+wpf4giMTKHK0NcbjqqqsGfI1pYSxdurQ/vkD6gK/oqvjHX6NgfK56NzLRn7sKUQ8mknvssUf+K07tr8xCTN3PV2e+sAIMHDZ4pLQxdp3IMwCGmP/nnXde1H9/UCkjZpcSixP+XnnllQP85u8o/Jm8T1kaeo0yDZGV6cUXXzygPDhnuQjCskrVH8oKoaZqWSGo4Q8aIV8YguOPP965CEqhrdcll1zi3Keeesq58M1vftO5s2fPdq6PCXzLli1zrrFx40bnYo/nQ1rnzp3rzqv4x1+jqN4JIUSc2HgRUusrsxjWsVcRTOi4Y3CdmX8sDub/Pvvs49w6hHYpRTZEgAaAAZrlHQ40ESmK0tBrlNkQWZmiDQlhkCcvw7KCorLi2SplZXtPxZZWrY5NmDDBuTGefvrp/CzLnnnmGed++9vf7g83DJ/lKz8do0ePzs8GY/nSiH+qd0IIMZii8cKo9ZVZiO2tw74wRYOIgYo/RpEkZ3v3lPlfFn/CQOvgk9I6AIMQyyHYc2BnYkeKKtJor1CkIaLOlOWV7UMU7jdUVFYIV1XKijKvg7+ZpwkwLIH54frhh5oueycmkDXjn+qdEEIMpkrf2LKvzID9YJid8in+mjVr8qtxUPGzv0xImZYG/0lYmf9F8bcw0DqExMJmgGUAwi4DWw8Mojmwd4lB2qpIo71CkYaIOlOUV5SV7UPk71SdyuNGywrKymrnnXfOzwbjC1Qm1CxevLg/3PC47bbb3DOGvWPCj0+j/iF4qt4JIcRgqvSNLbchMs0Ny0tFYAQak9iKtDRgg0SZBsieY0khxMIIZ9cQC9sGqzlz5gxYCkxpF1Jp61XKbIiszsTKNFVWqTxutKygrKxsV+wyitLRDI36Z/ZQQgghBlKlb2y5DdH48eOdyyf2oVDFF0AcUKQJKpLkzCgbg9Mi/xkM0RIgENk14B2+JINGbYhCmLnHaNSfkU6ZDRFLkRCWqX21BcOhrFLpMLBpevLJJ/NffZjQ4xtnG2X++fXdUL0TQojBVOkbW64h4hNgvspBEMGOg8+KWcZggzi+jLGOv0gTVCTJVfUf+DQauG7P8Q6fYZM5odYhFSf72sj3h/D47DlGUdp6kTIN0f777++WQq1MyV82FUQgQKjlCzDKyrchGoplhbDOPkGWDtJA+BYHbJoeffTR/Ok+bALBlgCWbvvqrsy/sL6Dv6wohBCijyr9fMs1RMDny+yPgtBhBqEMbHxW7e/BEpPYqszYq/rPp/Lhczxj+7NU/XIJP0N/GKSxUUnFNXW9FynTEGFH9I1vfMPt9QPkL5sKWlmx/BnaEMFQLCvqHNoo6iNpIHw/Dn79BH6H6fa/oGzEPwTP4fpHt0II0U6q9PPJjRmxW2D/FiHqgDYOGq1LDO6+IBX+HqmQX2p3IkQbMwpRH9pRES39ykyIGM0IMuE7vSAMgYQhIYRoPVU0RC23IRIipMyGSAghhGgnXbMhEsKnV7Q7QgghhibSEIkhgTREQgghuklLNEQ2mDXrmlGt3IGuSasj3fVt0SztEDsfKq7Fverzw8UFnfcxHM+NOn7ovA+d99FL5/61FMmvzIQQQggheoWkhkgIIYQQoleQQCSEEEKInkcCkRBCCCF6HglEQgghhOh5JBAJIYQQoueRQCSEEEKInkcCkRBCCCF6HglEQgghhOhxsuz/A6NIaq9DPnrWAAAAAElFTkSuQmCC\" data-image-state=\"image-loaded\" width=\"435\" height=\"124\"\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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: 376.15px 8px; transform-origin: 376.15px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe side slope is the horizontal distance divided by the vertical distance; for example, a side slope of 1.5 would mean the bank rises 1 m for every 1.5 m in the horizontal direction. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 339.7px; 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 169.85px; text-align: left; transform-origin: 384px 169.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 725px;height: 334px\" 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wVuPjTBHY2p4odbCL9cWoO/yaaUtRg8AQK7RDTNlgkcFuDQs8ZqSMgJcAAAAGSwrMrmClNV14IXFbqshBcH6TVhnCgoa1/KCMePn1g7vfPrhOXxGAICccfr4blO2pSSynqfqfxZPWRd5Iw0AAACZJeuCXEJntWUe+d8vmUNHT5q/WjjZtQAAkN0OvbrcZnBF6Tdsnp3sBgCCpi38mTl8pMJttV7/fvmUCgGANpKVQS4vVcdVBeufP/u35v/9xS673bVHL3OuqjIn1v2ye88CO5Nil67dTZfzutl9/FI+/eRsg/2bOi7rrLPOOuusJ2096KuX/1cztvf/seuaxZkbYgCi/PVPnzFbX6sw553Xve53SkuXKhdyRUGVWf93jSfTAgA0X1YHuSRVAdnnTn7f/J8DMxoEdtB8Cob5z5B11llnnXXWk7QeNPXifzCzR79vM76V+Q2g9XauznNrta6+fVfiJ4TSDKxTv7ne9L50pGtpudNH3jL/zw9vM8OKL3ItAOK8uqawwWRz2fD7BG0vKwrPp6ICsSoUq4KxYedOH6nr6KLlgp8h67VYr8V6LdZrsV6L9VqZsh58DBz0RZvBRYALaDualTTbqHbtdSOvsCMiWkOvv7z/ZwhwAS102lzi1oB6WZ/JFVR5+EXzzsYZDaK/nv4Aq2NLJBgAgOyj2ZbLtpaYs6cOuZZ6uiE29JZnCW4B7SBbMy/2lH1k/uTex1uVzfVxxYfmR9+41kwaP9i1AEglnBk6dkHOhDLQDFmfyRXUq/91ZtS8cltINkzDGd96bISt4wUAALKHJqN5+6lJkQGuy8cvMyNmv0KAC2gnPfuNcmu1okqIJJGyr1qTzaXX9co7RoALANpYTgW5PM2UFDccQYXqdz0+2s7QCAAAkkt1OV//x0vNsb3rXUs9ZW8Nvr08spwBgLbzSVXDIFDXmv531dlzbivZbpsywlSf+7hRfb90qOD8N/74824LQFNUCy+Im1OIk5NBLtGMScrq0iyLYeoU794wwRzds8a1AACAJPE3raKytxTYUvaW6uoAaF/dQzW5zp05bnp06+q2kk1ZWBd0OWFnSWyOc2dOmTMnD5uvTLvWtQBoSs/zWpY1idyTs0EuTzMoDbhhRaNIsGoH7Ns237wbU8MLAABkHp+9FVV+QPU3FdzSEEUAHaNrj4Z97DNZMlzRu+frN9msrOY4W3XSfO9rf+C2AKTj009Ou7Va2TipBdpGzge55KLPLjJDb/+dyb/sJtdS78TBTbZgZtRQBwAAkDkU2IrL3lI9Ts22rGGKANBWlM2VV/VRs2pzKYvri18Y4LYApCNcz++8UAAd8AhyOT179jRDZz4be3dXRWv1IKsLAIDMojqaCm5piGKYMrVVh1P1OAF0vK4XNJziPxv70n96y6i0s7k0o+ItE4cyXBoA2glBrhDV6dDUxlF3epXN9cbaYpvdBQAAOt9Hv11pZ0fWMMUw1d1U/U3V4QTQ8VRg/rzuvd1WrXMfH3Zr2ePOL4+32Vnp0H5//tUxbgtAS3ULBdABjyBXhPMLhsfW7NDdJ9XpOvDCYtcCAAA6mmZZivt7rOwt1dzUA0DnUYH5XJkBbfr1V9ksrVQ0pHHUsEvI4gJaIFzPr0vX890a0BBBrhT87EtRRe1051iFbaPuHAMAgPaj2Y/3PlYYmVmtrK2iWWWRsycD6HzZWvrj3gU32Sytc2c/di2NfXzioPnOn17vtgC0Rq4E0NF8BLmaoGGLKlSrgFeYCtvG1QABAABtS1+OVR9Tsx+HqbNbNPFRW3+LLAkgc+RKcWhlrSlL69OzVa6lIWVxDbqiwAwrvsi1AGiOMyf3u7VaXS/ob4dEA2EEudKkoYvK6oqKGPvZnMjqAgCgfShrS3Uxo2Y71g2p4bO2m77D5rkWAJlAX0B7XNhwRER4hrRsoiytT0/9zm3V+/STs7Yw/cIvf961AGiOqPp+ouAyEEaQqxnUiR56++8ih0AowKVAlwJeAACg7Sh7S/W3ooY5+ZtQqqcJILPoC+i50M/tJ1XZO1O5srRGDLrYZm0FnauqNL3yjplJ4we7FgDNod8lVSf2uK1aDFdEHIJczdSzZ09byFbDIaJ+sDR0UcEuTWcOAABaTjeQ3lwXnb2lepmaDTmqnACAzFGdf51bq5XNmVxSMmNkg2wun8X1jT8miwtojfDvju4RdbMBIcjVQipsq6yuqGnJ1SnfvWGCLU4PAACa59SpU3bWRN00ivpCrMCW6mWSvQVkvnCNPGVkVlRG163KBsrW6nn+eQ2yufKqPjJfmXat2wLQEqeONCwNFDU5HCAEuVpBWV3K6Bpww4pGWV36A64OuoZXaJpzAADQNGVCl/7i6sgbRerQamiihigCSA6V/Aj69Nizbi073fP1m0yXTyttFlfVqXJz5+xx7hkALaGaXOGSBdzoQhyCXG3gos8ustOVh/+Aiwrlxk1zDgAA6qmu5VuPjYjM3uo3bJ4Z8uV3Iv/WAshs4S+jZ7J8yKKyuSorjtl1ZXHdeuMguw6gZc4d2+HWatEXQCoEudqIUrFT3V1WRpcK52oIBgAAqKfsLQ1NVF3LMGVKK2t64MRHmUUJSKgL+n7OrdUKF5DORt/72h+Yig93m0njBzUasgmgeapONgyMn9eDnynEI8jVxlQnRIVwo6LLKpz79mOXk9UFAICjYYnK3lI9yzBlb42446PI+pcAkiNcIDrbi8/LrZM/a3p062Lumf8HrgVAS5368NdurdaFl050a0BjedU13DramIZdRN2VFgXDCq/5K1vXCwCAXKN6lR++cJupeP8511JP2VvKjFY5AADJpyC2sjVl7Z6/MK9+cotdDzpXVWm69uiVFcvuPQvMubMfm67dLqhbiorR6zkt0z0WS5a5vgxbMmSuGX3z/abvsHmuBWiIIFc70x/10qdvi7xjpQK6g6Y+wZhiAEBOObpnjdm3bb7bMua+/2XMD75Wu55/2U3misn/yk0gIIuoaPSbj3az688c+b/MM0f/L1uUPUqX87rZ5zJ52Z7SPQeWLLN9GebbFxX/hfmjOQ+bXv2vc88ADRHk6iDK6FJmVxRldTFTFAAg26ku5eHtX7fD94PGLTRmxypjZysmewvITq+uKbSzowWDXMEvtQCQig98KZNr4vyXTbeel9htIIwgVwdSLS4Vnw9PfyrK5iqeso6pUAEAWUmBrfe232XOnjrkWuopyFX1+7JGdXsAZA9NwhSsS6sJJai3B6ApmpxGtTs9lTQYNa/cbQGNUXi+A+kPuQroqpBumIY16oc3roYXAABJtX/bfHuTJyrA5TOZCXAB2e2CUHmOjyMmmwCAsHDZn579KPWD1AhydTBNf65p0HX3KoqGNKowp4Z0AACQZMraeHNdsTmyZ41rqae6lJqNWEP2AWS/7hcOdGu1Pj76mlsDgHhnQkEu9R+AVAhydRJldV0z/6wtsBtmZ6D5x152WnUAAJJGN2qUmazhSVETryiwdU1JGUP0gRwSztbUECQAaMqpj37t1mr1vOgLbg2IRpCrEymra+jMZ20trigHXlhs3n5qElldAIDE0I2a/Ruvj5xsRXdfR8x+hclWgBxUnd9wJjT9rgCAplS8/5xbq0V5AzSFIFcG6DN4js3qUvH5MP1Qv/3Y5Y1mogIAINPUDbmP+PKqv3WDvvRW5N86ANmvoKDAFowOChaiB4AwZXyGM8LDAXMgjCBXhlBWV9zdbc3GqIK9epDVBQDINOqEKrgVNXmKvtT6rOWePXu6VgC5qLB4llurRfF5AKmEb5opI1wBcyAVglwZRnVKBt9eHnmnW9lcqtUVTtkEAKCzqH6kZgeOyt5S/cmht/8usv4kgNyTf8U0t1arfO8/uzUAaOzEvl+4tVqFg+e4NSAeQa4MpOi0srriZpxSnS7dLSerCwDQWZS9pb9Hqh8ZpuwtZW5pJmGytwB44Zu41OUCkErlhy+6tVoX9P2cWwPiEeTKYBq6qGBX1DSpqntS+ouryeoCAHQ4ZRbv3jAh8m+QsreKZpXZGlwdraKyyixdutTk5eWZ6dOnu1YAmUIzqob7tdTlAhAlqh5XZ/QtkDwEuTKc7nhpmvWLPrvItdTTD73uokfNYAUAQFtTBrGvEal6kWG6OaPsrc6ol1FWVmYmTbzeLFvGzI1AJisooi4XgKaFMz0pfYB0EeRKiAE3rLCFe8Oz0oiGLsbNZgUAQFtQ9lbcbL+6IXP17btih9m3t5UrV5pBgwaZnTt3mgULFrhWAJmIulwA0hGux9XrYmZVRHoIciWIotcj7vgoMk1TAS4FusjqAgC0JWVv6WZKquwtDa3XMKTOcPz4cTtEUcGt6urquiBXnz597BJAZglP/89NWgBRwvW4CgZ+ya0BqRHkSpge3braYr56xGV1aQijxjADANAa+vKp+o9RN1BUVyfVJCkdRUMjlcG1atUqu33ixAm7PHbsmF0CyCz6mQ0XoKcuF4CgqHpcn1442q0BqRHkSihlc8VNy65CwCoIrGndAQBoCc2aqAzhcCdTFNga8uV3Gn1R7SzFxcVurR6ZXEDm6tmv4e+Okx9sc2sAUPt9NkjfefN79XBbQGoEuRJM07KrTldUVpeGlOgLyrsbZ9ihJgAApEN3TxXcirpRor81+rujIYrKLM5EvXv3tksyuYDMVTDoq26t1u/J5AIQ8Pv3Nru1WtTjQnMQ5MoCyuoaPmt75B11pX/HFQoGACBIQ97femxEZI2cfsPm2bqQmT67kR+uCCBzRdXlUn09AJDj+za4tVrU40JzEOTKEir4q9ooursepqwuP+U7WV0AgDB9uYybvETZW1fN2GgGTnw0Y7O3gnwmF4DMFVWX65PDDb/UAshNlYcbFpwX6nGhOQhyZRnVSdE07lFZXcrmUgHh8BhnAEDu0rDEvY8VRmZvKWtL9R97XzndtWQ+n8lFTS4gs30m9Hvlwzf/b7cGIJeFfxdo1BL1uNAcBLmykLK6Bt36m8gZr1RAWLMvql4XWV0AkLtUe8v/PYiieo+qv6X6j0lCTS4gGXoNvdut1VKgndnBgdxWdfZcozI7vYsYqojmIciVpTSkREMXNYRR07yH6c69srroTABA7lEHUgGuqMxeZQJfM/+svXOaRD6Tq1u3bnYJIDNFDVkM1+EBkFsqD/xvt1ZLJROS2h9B5yHIleXsl5WSMlswOExZXSowrELDAIDspwxeX6Px7KlDrrVe3c2RBNTeiuMzuc6ePWuXADJX/1ENs7kOvfqAWwOQi47sWuXWahUWz3JrQPryqmu4dWQ5zbSoLzYqRB+mYNjAmx6NrOUFAEg+/Q14d+MMt9WQfvdreKKGu3eGvLw805ruyAMPPGBef/11c+GFF9rliy++aIqKiszUqVPt8xdddJH58Y9/bNcBZJadq/PcWq3hX9puevVvOPsigOynSXBUIzSI3wdoCYJcOWj/tvnmyJ41bquhATesMBd9dpHbAgAknbK3yt/8UeTMiaL6jVEz83ak1ga5pk+fbjZv3uy2Ghs+fLjZvn27HR4FILOE+6UafaDZXAHkFvVTgiOMVHJHI5KA5iLIlaNUk0u/RKKyujSbloJdnXVHHwDQNlRzq2xr9NBEdR4HTX0iIzJ4WxvkApBc4SxT1eAZccdHiR42DaD53lxXbMvpeLoBFzWRGtAUanLlKGVraVp4BbTC9KVo94YJNhAGAEgm3chQcfmoAJc6jbo7yhB1AJ2t95XTG0ySpBuw4eLTALKbJkMLBrikoIh6XGgZglw5TNPCa3r4ooiUcHUwNK28anhpqAsAIBk0Df+ux0dHDk9UhsRVMzZ2+vBEAAgqDM2eFi4+DSC7hX/mlYjBqCK0FEEumL7D5pmrb98VeUffTjP/2OV2CQDIbApsKcClQFeYpuDWECBlTQBAJuk79GturZZGFagINYDcEK4XXTjoq24NaD6CXLAUKde08VF395XVpYwuFQYlqwsAMo/S/DU0MViw1VP2lmZO1IMaNwAykfqh4Zutp/dRNgPIBarLF64T/Zkh33BrQPMR5EIDqtOirK5gbQRPEfbSX1xt764BADKDMm3femxE5O9mZW2p/qKyuAAgk/UbsdCt1WLIIpAbjpf+s1urpT4LN+XQGgS50Ijupg358juRs1moIKDPFiCrCwA6j34Ha2iiMm3DlL2lWXJVf0v1FwEg03W7rGEwXn1OymUA2U3DksNDFfuEhi8DzUWQC5EUPdfQRQ1hjMrqUt0XZXVF1X0BALQvXy8x6newhvwUzSqzs+gCQFIUFBSY/iO/7bZqHX71AbcGIBudeO0ut1ZLfRhqh6K1CHIhJf2iGfSltyKHuugOW9wMXgCAtqfsLWVu6RGuXyH+5oS+LAJA0oSHLCqQTzYXkJ2isrguvua/uDWg5fKqa7h1ICXVe9n79G2RX6yU7aVhMUz1CgDtQ1/2dGMhim5IqLC8fgePGzfO7Ny50z2THOXl5QTnANggfjCwpT7mNSVlbgtAtjjwwmLz0W/rJ5hQqYXBXzlk8nv1cC1AyxDkQrMowHXg3xdH3lXTLyZlETBEBgDajrK3jrz8nQYdwSDVT4yaGRcAkigqoD/8S9tN1z7jKEYNZJGdq/PcWi3VEuV7JNoCwxXRLH4qev0S0nqQDYC9sNgWptd09gCA1tGXPdU/jApwKbtBQxMJcAHIJspMLSia5bZq/e43SwhwAVkkXO5G3ysJcKGtEORCi+iXkKaljyoMqGGNuzdMoIYCALSCZrFVNoPqH4bpd7CG7+jLIABkm0vH/sCt1VLfkhuoQHaoOnvOHApNKsENO7QlglxoMU1LrzpcyuoKU1aXL46soTYAgPT4oTpRk3roTmfc710AyBZR2VwaLaAvxwCSrfytBxvUeFbf5jNDvuG2gNYjyIVWU0bB1bfviswoUDbXrn/sZU4c3ORaAABxFNhSgEuBrrB+w+aZUfPKmVobQE4Iz7SobK7qynfdFoAkisriumTU3QxHRpsiyIU2oRm9UtWGeXfjDHsHjqwuAGhMw3BUz1BDFMN0h1OZWwMnPupa0FxlZWV2qvJ0af+8vDxTXFzcrNe1Ff/+06cT0ETuUkA/fANVfUkAyRXO4pLzi6jFhbZFkAttSrN8KdilgshhKpysAspRGQoAkKv0u1F1DJWlEJZ/2U22/iHFWFtu69atZtCgQaawsLBZAatevXqZvn37moKChpOsdKQ+ffq4NSA3XRa6eeprczFsEUieqCyu/iO/3al/Z5GdCHKhzemumwoiK+AVpgLKGorDnTgAuU6Zrcre0u/D8F1NUfbW0JnP2vqHaLnevXvb5fDhw+0yXd27dzeVlZWdksklCsodO3bMbQG56fxLbrajBYL0O5OhTUDyRGVx9f/c3W4NaDsEudBuNHRRWV0aahOmzIW4ujMAkO1Ur/Ddfxkcmb2lGwWDby8ne6uNjB071lRXV5tdu3Y1626xAlzK5uqsO8x6fzK5kOsUzLpiwk/cVi393qTWK5AsumEULsmgLK5uPS9xW0DbIciFdqUvayqUrILJYX4GsagaNACQjZS95WeePXvqkGut528OkLrfuc6YC22A68yZM52WyaX3J5MLiK7Npd+hFZVVbgtApjuyvcSt1SOLC+2FIBc6hAoma9r7qKyuutnEar78RQ3ZAYBsoOwDZW8piytMdQw1S23UMO/O4AufL1261K4vXLjQbvti7Grz+40bN67uublz53b4BCMbNmxocA7+PHxwyl+L2sK0z0MPPdTgtbrm6qqjNpNKQxajAo5R7/nDH/4w7YBY3DkHv7SnyuTS6ydMmNDg9Trezp073R71drz1nn1e1yV33HFHg9etXLnStkdp7XUCbUXDt4PUX6x8p2GGF4DMpMzLcPalfqbJ4kJ7yatWDj/QgVSDJmqIjugXHkN0AGQTBX3K3/yRDehHUWCr3+gfZVSNGQWGNMxPs/tt2rTJlJeXmwULFpj9+/ebzZs3232WL19u7rnnHlNUVGSmTp1qAyx6aPuVV5rORlNw5fnnnzf5+fmmoqLCLk+ePGkDS8qgkoEDB5r777/frkfR6ydOnGjXS0pK7DF0jnv27GkQiNO1jB8/3l5LkAI/y5bVFrYOX5+ojtf27dsbXIvOe/Hi2rqS/j1//vOf288onWuPO2c93nxtu70ZtKfsIzNh7LDIc456/+B5r1ixwixaVP93VEW6+10xztx66611/y/961avXm33WbJkSaPPubXXCbS1/dvmmyN71ritWro5EK7ZBSCzvLqmsEEig27sqX4z0F4IcqFTKJNBqeZRNJvYxTc8QecZQOJpWPa7G2dEDk1UJ2/Q1CcaDcPJBAoMKcCjYJMCHGvXrnXPGBv48gGVe++91/z4xz+266LMIwVBSktLbcZXKsHjxFFw6tlt/2Hye/VwLfWU9fSV2V+yx9ixY4fdN4q/ltmzZze4Ds26OGXKFLse7AopS0mzMeo6dEwd29Ox9Fy4XXzAbN26dWbOnDmutaHmnPPIkSNtYCrunMOfcfA5nbv/G6pMruvHDI78fxn3mtZeJ9Ae9POz9+eXNPiybGegnfms2wKQad7bfpc5/MZDbqsWwWm0N4YrolP0GTzHXDP/rO2chCnL68BTIyKH9ABAUqjeoIZiRwW49Dtw0JfeysgAl6eaUApyPPzww66l1qxZs+xSAZNggEv8vk0Fr0RZRQoupXoowBIV4BK1p1uYPaq+1TPPPGOXymIKUqBHASTNbhiuyfXII4/Y5Xe/+127DLrzzjvta9asaZhpEtScc1ZGW9w5K8AUDiJOnjy57lqC2V/9P1Md+/9Sr5k2bZpd19BEr7XXCbQH/fwM+MOGwxbVZzwayu4CkBmUSRwOcKlOMwEutDeCXOg0Gpqju28qtBymL4W+OHNH13cBgNbwk2pEDU/UUDT93iuess707NnTtWYmBXiGDh3aKKv285//vF1qyFqYDwidOHHCLtvbN77xDbtU3SjVDVMGUhRdSzi49PLLL9ulMrzClNWkR7gml3/Nk08+ad8v+FBWm15z5MgRu0+cdM85qiaXf/8hQ4bYZdiAAQPs8vXXX7dLOXfunD2vqP+XMmbMGLt8++237VLa4jqB9qAbBOEbpAe332Wqzp5zWwAyxYEXaoe8e+oDqU4z0N4IcqHTqR6NpsuPymhQNteuf+wVW8MLADLJR79dWTuRxtFXXUs9fTkbObcsMoM1E0VlEqWro4JcykTasmWLzUZSfSkNsQsWxvdaci3KVpKoIuvKpNL7BR9qk6NHj6YszJ7OOXft2jUy++yll16yy8GDB9tlHB+kEl2HHnHX7wNjUVpznUB7iSpCf+hXd7otAJlA3+HC39/CmZhAeyHIhYygu8uaNj8qq0tUrF5Df8jqApCJlJKv31Phu5aiO5dFEx+12VtRM8xmqrjZ/XwAq3fv3nbZUqrJFZy1L+rRVF0vUdDIF1TXcL19+/bZwFFwpsFUMxXG0fEkKvtJwyijhlfqoWBV1GuCmjpnZV9FnbMK0cvevXvtMs6kSZPcWn1WWtz1HzhwwC4VCAxr7XUC7UFDncIz0aogvX4PA+h8ugFy4N8b9od0g083+4COQJALGUWdFgW7VJA5TEN/NP0+WV0AMonuVr712IjI3029r5xuht7+O9N32DzXkgxxmUTig1tR2VrNCXqotpdmNEz1CM4S2BS9t2YI1OyC8s4779jlGXNh5LX4YXp+v7CoTK6mXtNccecsLTnnf/3Xf7VLzUoZlCqTy2d9qTi/19bXCbQ1OyNtqK8YN6ERgI51ctd9DSaIkHAGJtCeCHIh42jYoqaVDd+lE9XqUrZE3FT8ANBRlFnqawdGUYfuqhkbM772VpS4TCJJNRTRB4TSyfJSAGvVqlUpH3fffbfbuzG9l7LBghlb4jOTvO7mZGRNrptvvtkuH3zwQbv0lKGkrKqoTK6413iarTA8VDIo3XP24s5ZRf/D76P3fuqpp2yB+ahZDzUZwC233OK2auk1ag+/prXXCbQ31XW9LJT9r2HiGjIOoPNUHn6xUbF5jdSh2Dw6EkEuZCz9QlRWV9TwHg1dfHNdcWTdGwBobycObrL1AqNmgVWgXtNjX/TZ9LOQMk06mVypdERNLgWfXnvtNVvA3Rdx13LZsmU2K+krfzzd7qdriarJ5WcWVMBJQyPnzp1rA1AKcCnoo+fCdaf0Gg0v9K/x76vXanvKlCkpZ5bUOauuVtQ5q5B/MNCkwFzUOfsZFHWeel9/DL23KDgYRcf/j//4jwbX6l8TnkWxtdcJdAQNfSooqp3t1dOQcYYtAp1DN8je2TjDbdVSxmXh1Y1n6gXaE0EuZDR9WdRQn6gx3FUV+2JnMAOA9uCzt94NdeI8H5xP+h3LdDK5WluTqy386le/qgvGqCi6lhrmuGvXrrobJLqWuJpUqovlg0YqqK7AzfLly20tKunbt2+DTC7R8EIVjlfQyL+vXqugmF7X1BDL0tJSe47hcw5nRikwF3XOwff3heH9MXRsBeiiTJgwwT6v8/TXqmOoLSrzq7XXCXSEvuMbz9Sm38/Mtgh0vNJNX2w0TLF48jqbeQl0pLxqVQ8FEkD1bvY+fVujX56iYoYaGkQqLID2ot9B+7fNtwH2MN2pHDT1ichZYoHOpEy0/v3722L0CuoB2UYZteFh47o5qsk+AHQMJR1opE1Q/5HfNldM+InbAjoOmVxIDAWylNWlQs5h+vKpws9RQ4cAoDWUvaUhMKoHGBXgUv3AIV9+hwAXMpKy2KJqkgHZQgGtcMa/+oPU5wI6hupwhQNc+t5GgAudhSAXEkUFnFXIWVlbUbW6/DAifSkFgNZSbZfSX1wd+WVJv4M0NFFDFEnFRyZLNbsikA2UtRWebZH6XED7U7Zw2daGmZTqH118wxNuC+h4BLmQSCrorKyuqMwJXxBaSwBoKd2VVIZoVPZWv2HzzKh55WRvIRHi6qsB2UQ3QcOozwW0ryPbSxr1k4bU/CyG61kCHYmaXEi8qDHgntLX+0/4WSKn8AfQOTRr6/7n5kfO3qq7k8oYiBo2DQDoXEf3rDH7ts13W7WozwW0j6jvYCrhoAx3oDMR5EJWUDq6hipGfSnt1vMSO7OHxoYDQCoalqghLlEU2IrKFAAAZA5NEHJkzxq3VUtlLjQKAEDbUB2u3b+Y4LZq2frJM591W0DnIciFrKK7CbqrEEWdm35j/htZXQAaUaBcwS1NYhGm7C3dleQLEgBkPg1PfOd/D2k0hOrq23cxCzfQBioqq8zen1/SYMZ79ZWKZpUxTBEZgSAXso6yuUqfvo1p/gGkRdlbCpAHO2uenR1o8r8SHAeABNGNC9VUDFIfUDPhMlEI0DqabTp8U3D4l7abXv2vc1tA56LwPLKOAljqxGhMeJgCX7seHx1bwwtA7tAsrBrmrAyuqACXsreUdk+ACwCSRRlbRRMfdVu11Afcv/mLdjY4AC3z3va7GgW49J2LABcyCZlcyGqaYVFfYqO+wCoYNvCmR8nqAnLQsb3rbUft7KlDrqWefieoSDHDWgAg2aLqc1GIHmiZqELz1OFCJiLIhZwQ1cnxlK0RlfUFIPsoe+vIy9+xQxSj8PsAALKH6nOVPvn5RhMT9Rs2zwwMZXoBiBc1MQ91uJCpCHIhZyir692NM9xWQ7oLcfENT/BLGshiSq9XwJt6fQCQOzQ88b2Noxv97tcNDd3YAJBa1HcoBbiGz9pO1jsyEkEu5BTd0VM9hqgZ1IQppoHso+yt8jd/FDvzqr7o9Bv9I4oRA0CW0tD0Pb+Y0CjQRb8PSK3y8Itmd83PTthVMzaa3ldOd1tAZiHIhZykejyq1RVFtRr6T/gZxaaBLJBqtlXdhVRdFjppAJD9NOPi7g0TGtVp5cs6EC1qllLhZwaZjiAXcpayO/ZvvL5RnQbp1vMSc8WEn9iAF4BkiiqQ6uln+7Ib/4HsLQDIIXxpB9KjnxUNUQzfJNSspX2HzXNbQGYiyIWc19QXYbK6gGSJ65gJ2VsAkNvi6gsNmbHR9Op/nWsBcldcHTsm50FSEOQCauhLsYYvRmV1qSC1ZuBRcXoAmU2z/yhoHR6OIgpsXTbxcYLWAJDjju5ZY/Ztm++2alFIG6j19lOTGtUv1oykl/zBI2TAIxEIcgEB+nIcV5waQDLpi4vuPlJcGADg6abIgRcWu61aurGpoYsEupCLlMH14Qu3NQpwaWSLsuCBpCDIBYSkKlQNIFl69h1lLp3yrCkoKHAtAADUzrh99PUfmw923udaainQVTx5HUMXkXN2PT660agWjWQZOO3fyOBCohDkAiKo43P4139u7/IBSA4FtXwHjdoRAICm7N823xzZs8Zt1aJGF3JJXC1T9alGzH7FbQHJQZALSCGqOCmAzKXO2Hvb7zIDbljBcBMAQJN0Y/PQr+5sFOgSDdFipm1ks1QBLjLhkVQEuYA0qRPkU3VZZ531zF8HACBdukFy+I2H3FY93TShpiOyUeXhF807G2c0mqxHQxSHznzWbQHJQ5ALAAAAQE7TTZLytx60kxCFMfwd2UajVTSzPAEuZCOCXAAAAABQ4+ieNWbftvluq16/YfPMwImPui0guaJmFhX+jSNbEOQCAAAAgBrK6Dp96JnImqyqz1U4dgV1ipBYh15dTrYish5BLgAAAAAIUEHutx4b4bbqaTjX4KlP2BkYgSSh7hxyBUEuAAAAAAhQRld15buRM8/1yC8yg6Y+YWegAzLd8ePHzYcv3GYq3n/OtdS7asZG0/vK6W4LyA4EuQAAAAAgggIE720c3SjQJWTAINOpwPzBFxY3+verTMQhMzaarn3GMSs1sg5BLgAAAABIYdfjo82po6+6rXrU6UKmiqu/5QNcvfpf51qA7EKQC2ilsrIyU1xc7LYAtKc9ZR+Z/oXd+DIBAOhwZVtKzLG9691WPYYvIpOkGp6of6OXTnmWfhSyWhe3BNBMK1euNH369DGPPPKIawHQ3p7d/LgZNGiQeeCBB0xFZZVrBQCg/RVPWWcfYRoKpkwvZc4AnUnZhvs2FEcGuPoNm2dGzH6FABeyHkEuoJl8cGvx4sWmvLzcdOnCjxHQkfRzd88995iBV15qg10qDgwAQEfQ8MSrb98VmbWloWHK9lImDdDR9O9PwdZPzjT896fhiSowP3Dio64FyG58OwfStGbNmgbBLQAdL3j30Qe7Lu1/sQ128aUCANARzi8YbjNilBkTpuGMyqRRwW+gI6j/E5dJqGBs0awyZlBETqEmF9AE1dwaO3YsgS0gwxUWFpp/+7d/sz+vAAB0BAW1Dvz74kbZM8Lsi2hvCqYqezDq398lo+4xl49f5raA3EEmF9AEFZXfvnOPWbBggWtp6N577zWKFfPgwaP9HytWrHA/eQ3NnDmTABcAoMNp+KIyZaKGLx54YXHsrIxAayh7a/+2+ebdjTNihycS4EKuIsgFpGFY8UVm1apVprS01Myb1zA1PT8/360BaG/hYqklJSVmx44d5pe//CUBLgBAp9DfprjhiwpwKdD13va7GFaPNqFhiXsfKzRH9qxxLfXyL7vJ1oxjeCJyGUEuoBmU1fXoo4/aYJfP7Dpx4oRdAmh//gvCtGnTbHBr7dq1BLcAABlBhb2VQaNMmrDDbzxka3UdjQhMAOmoPPyiDZiqwHwUZW4Nnfms6dbzEtcC5CZqcgGtoHpdekyePNm1AGhP+nk7duwYgS0AQMbSDZkj20tii88r20b1ulTAHmiK/j2V71xs679F6ZFfZAZNfSJyyCyQiwhyAQAAAEAbU5Dr4AuLTVXFPtfSkAqD9xp6d6Oh+ICnzL+D2++KLCyvjMFLRt1t/x0BqEeQCwAAAADaiepxabhiFAUqBvzhClvAHvA0NFETF8RNWqB/L4VjVxAgBSIQ5AIAAACAdnT6+G4btKh4/znX0pCGMF4x4ScMOctxGpp44rW7IovKi4YmXnnDCgrLAykQ5AIAAACADqC6Sgf+fXHk8DNRhs6lY39Ava4co+BW5dsP2JkT46iwPEMTgaYR5AIAAACADqQZ8lIFNBTsuvia/2J69b/OtSAbpRPcYqICoHkIcgEAAABAB1O9pf3PzY+tuyQMY8xOGr56+LUHYocliuq1FU9Zx9BEoJkIcgFAG9IdOUm3EGhZWZkZO3as6d27t3nllVfSft2eso/M8EEXm2nTpplNm6KnKAcAAJlPQxjff2lJ7CyMoiDXZeOXEfBIOAW3Pth5n/1/ngpDE4GW6+KWALKEgix9+vQxeXl5jR7jxo0z69en/qOKltu6daspLCy0Dx/sSkd5ebnp27dvs2bI6W5O2vfR/+vWqKis4t8LAACdSEMTrykps1k7cRlbyvZ6d+MMs+vx0ebEQW5uJY3+/5VtKTFvPTYiNsBlZ9q8YYUZu6CaABfQCgS5gCyjQImygqSkpMQsWLDAPpTxs3PnTtvWVoGL6dOn22CIjhulqeezjf/clZl1XrcL7HpTfFDs6NGjrqVeqs+va9eu5syZM+bYsWOupWXye/XosH8vAAAgnoJdI2a/Yq6asdEOU4zig11vriu2dZyac1MNHU8BrbefmmSDk3HBLc2YqODWqHnl5qLPLnKtAFqKIBeQZZSZc+LECRs4efjhh82qVavsQ0PatmzZYve577777BJtS8EtjQDfsWOHDR6lQ1lclZWVNpOrOc6dO2eXrc3kUueYfy8AAGQODUkcOvPZlMEuDW1U8fq9jxXaDKGjKWo7oWMp027/tvlm5+o8+/+m4v3n3DMNKbil7D1l8RHcAtoOQS4gy/jMHAVPwiZPnmyKiorM7t27ufOXQXr16mWXzf1/0r1791ZncvnMP/69AACQWXyw6+rbd5mColmutTFlCO1zQRUFVxjO2PFUa0tBx1fXFNpMu1QF5TUk1Qe3lL0HoG0R5AKyzNlTh8zp06dtACQsmLUTRTWlVIfJ12TSQ9sqjh60cOFC+9zmzZvtdvA1GtrW1PNB6b6nqE3PL1261K7799GjuLi47jVaBo85d+7clEEanYP20/DAsJUrVzb5nM5H/Pnp/aI88MAD9nn/8K/zASZfkyvdz08ZYD6TK/xZNGeIqP5NtOTfCwAAaF9VZ8+Z8wuGm8FTn7BDGfsNm+eeiabgSnA4o4IvaB/qJ33025V2KKJqbenz/uRMfH9TWXnKztP/R4JbQPshyAVkmW49LzHnn3++rdcUpiFoCqiMHz++UZFzBWymTJlSV4cpWJdp0KBB9nnvq1/9qn3eBz+CtZy+8IUvpHx+yJAhtk2a856ejrlv3z47NHD16tV1r1GbXqNAkpaqcaXntN+6devM6NGjYwNdPmNJQaXwPgcOHLDLI0eOxD43e/ZsuxSdX1R2lQJa99xTW0TUn/OyZcvsuXr++Kk+vyuHXWfbLi2sshlg27dvNz169Gj0WSgwlm6gS5lczf33AgAA2l+Pbl3dWm0G0MCJj5rBt5fbwuQa7hbHD2dU8EVBGAVj4vpBaB5lzmkYooaKHnhhsa2TFkfF5BWYHP6l7TYrj9kxgfaXV60CMgCyhmpyDbzyUhucUHAkPz/ftivg4YNJa9eutW2eMpkUbJLS0lKbCeQFn9Mxg8EOZTcpMKQaVAomhaV6viXvqUwpHxQKX4d/L1myZIm5//777br4bKd/+7d/izxPUSaUAkUKiM2ZU3t3TZ1BvZ/OQYLX4Z/TQ+3izy98bsHrCf7KDR5fx/XH8VJ9fnqv4cOH2+BU+P0UHFy8eLENeClQlUrwHNL99wIAADJD5eEXzZHdq0x52YaUWUSeAmWfuXK6ufDSiQRc0qTPuOKD58zv39scW18rTJlavYu+RMYW0AnI5AKyTHC2PAVsFLjRw2f1qE3ZTkHPPPOMXeq5YLBJlOWkoJGEAyZNFT1P9XxL3vOMudBmNyngoyLpQbNm1daqUFAmGOAS7asgzjvvvONaGlOml6xZU19DYe/evfZ1ypCSxx9/3C7FP9evXz/XUj9TYjiTy1+rvyZPwTsF+PQaZZ6F77Cm+vz0WSiTSxlo4SCUgnQ6ZlT2WZjOobn/XgAAQGbo1f86m92lmflU56mpoIqyjjSsTkMaVcNLM/9pmzpe9TTEU5+JPht9Rrt/McFmxTUV4FIAUbMkDr3jdFr/LwC0D4JcQJYJzq6oIIwyh/xDs+Wp9pKGzQVrO7388st2GRxKGDRgwAC7fP311+3Sa6roearnW/Ke3c1Jm7k0dOjQRsPnPv/5z9ulgj5hPtATPv8gZT35wJD3m9/8xi4V5NJzTz/9tN0WBYJk3rz62hj6vPUIB6f8tQaHNXr+NZpdMXxNqT4/fRYyYcIEu4wTPmZYsIbb70+ebvTvRYG08L8XAACQeRRUUXBFwxkVbFHQpSkK3CiAEw56KXspV/jAn4YgqnC8hnimE9QSDRm9fPwyOzmAam1plsR0Z9gG0D4IcgFZpqnZFX/1q1/ZdWUV+eDPSy+9ZJeDBw+2yzg+WNMW9uzZY5dNvecbb7zh1ozp2rVrm8woGEXZZKo9pQym559/3rZt2LDBZo3pHDV0UM9pmKBUVFTYpdqDFAxrzvn57DQF79IZZuDps5Co9/LZWTpmU5lcwRpun5z92LXW0r+Xbdu22fXgvxcAAJC51A9QsEVBFwVfFIRJVb8ryAe9lL2koJcCP9pWHapsCHwpS0tZa7omzUSpoJZqlvlrTKcvFqyzpRkSVR9NkwMAyAwEuYAso0BEqhnxlGWk57SPp+COaAheKpMmTXJrrTds2DC7bOo9b7jhBrdmzLlz5xrMKBjkr8cPvYuS6jnxQx5VzF3BLNXD+spXvmI7izfeeKN97te//rV9TsP4NDQyKlMq1TDDMJ+dpuCdOk3pSvVZiD4PHbOpTK5g5l8UHV/ZXMF/L56f0ZHgFwAAmUnBFwVhFIxRwMsPo0u3z6HAj89y8oEvzdzoA0MqaK+gUab1BXROOjedo7LTdM46d2VpKWtN16SZKNO9waiZEZUdp89QQ0M1RFRDRQFkHoJcQJbxWTxRmVxBwefHjBljl3E1q/71X//VLgcOHGiXXlPBnG7durm1xpp6T2VRSfA9lb2kgEtU9pIPYEUFY7xUz4mvZaXC7T5jy7+/L0b/5JNP1hW4v/XWW+3S02v1uYbPL9W1apZEBaMUsAp3EC+44AK31liqz0L0eUTV+QpLlfnn6fzCz+v/vR+y2dS/NQAA0PkU8PJDGhWoUcBGgZuColnNutGmmRv9ED/NLqigkWYaVBBJwS+f/fXe9rvqgmDBR0sywnwGVvDhg1h6KCtL763MLJ2HzknnpnNUdprOuTkU1FIGnLK1xi6otjMjKjsur9dVbg8AmYogF5CFfBZPlOXLl9ugRDAL6eabb7ZLtfngjqeZAZ966ik7bM8Hejw/E19coOqyyy6zy6jnm3pPBZLC75lOJlcqXbqk/pWnz0NZbfv27TP//M//bNv8cEQ9p7pdyuDyAbjwUEUf7Amfn7/WBx980C49XXfv/p+zr1PAKpx1dfHFF9tl1OeX6rPw2XxRdb7C/L5xmVxR/16UwaUZGVWzS/pdXPv/GQAAJIeCXgrcDJ76hA16aXijAjsKerWUgl8+++vwGw/VBcGCD58RFn4oSKVH1HM+Ayv48EEsn5Wl925O6YcgBbWU8WaHIM4/a4Na2g5na/XoVlsuAkDmIsgFZCFl5mgI3De/+U0bkPAPn32j4uzB2QmDsxkqeDF37ly7/7hx48yUKVNs+6pVq+wyyM9IqACI9lfQJzg7oR/eGHxeWVLSkvdMJ5PLL4N8cObTTz+1y1R8IXl9TgpqBYNEPiNLAbhg0MdToEiP8PnpWnUs1fTS8D5dqz4LXbceei4qk8sXlQ9+fr4AfKrPQuflP4emMrn8vgpk6d/L/Pnz7XvpEffvRf9fduzYUfce4VpeAAAgeVSoXoEdBb2UvaSAjzK9+o/8tg0CpVvXq6UUpNKjPSljTdeia1JA76oZG+sytbStoBaBLCDZ8qo1hRaArKGghgInPqsoSMGKRYsWmbvvvtu1NKQMqq9//es2k8nTzIKaXU+F2aMsXbrULFu2zG0ZG/xQBpbX1PPNeU9lPg0fPtzOUrh27VrXWkvHUXBMgbP777/ftdZSYG3x4sU2Kynu2j29hz4/Ce/v30OU0RXObPOvVVAqfH4S/iz88RW80qyO+mzC4j6/VJ+FKEClc4k6Zpj2bcm/FxXonzhxon1tOOAHAACSq+rsubpgT3BdNNyw6uQ+c6Zin/n46Gvm7MeH0pqJsCMpYNc9v8j0uvgLptsFl9ista59xhHAAnIAQS4AQIsoM02ZdwS5AACAbrR2q9pdN2zw3MeHTdcL+pvKD3/daBhhc4Niyr4K+8wV02qOe8Kc1702s/yCvqNMdf51jfok4SAdgOxGkAsA0CI+s40gFwAACGpuYEmzPXc5+Yo5d+a46dJnkp0YpykErwBEoSYXAKBFouqfAQAANDf4pKCW6mH1vnJ6WgEuIcAFIApBLgBAi6QzoyUAAAAAdBSCXACAZtHMi5ol0hfh14yS2tbwRQAAAADoLNTkAgAAAAAAQOKRyQUAAAAAAIDEI8gFAAAAAACAxCPIBQAAAAAAgMQjyAUAAAAAAIDEI8gFAAAAAACAxCPIBQAAAAAAgMQjyAUAAAAAAIDEI8gFAAAAAACAxCPIBQAAAAAAgMQjyAUAAAAAAIDEI8gFAAAAAACAxCPIBQAAAAAAgMQjyAUAAAAAAIDEI8gFAAAAAACAxCPIBQAAAAAAgMQjyAUAAAAAAIDEI8gFAAAAAACAxCPIBQAAAAAAgMQjyAUAAAAAAIDEI8gFAAAAAACAxCPIBQAAAAAAgMQjyAUAAAAAAIDEI8gFAAAAAIhVVlZmjh8/7rY6n84nLy/PTJ8+3bUAQC2CXADQTprbIdzx1nu2w1ZcXOxaWsYfh44fAACIo37K/PnzbZ/BPwYOHGjmzp1rdu7c6fYyZuvWrWbQoEGmsLAwowJd0qdPH7cGALUIcgFISYGSYOcn1WPp0qXuVQh2CNWJTEf/z1Tb/fv27duqTqQ/DgAAQJSVK1fafsqaNWvs9tixY+3jwIEDZt26dWbcuHHm0KFD9rnevXvb5fDhw+0yU6ivc+zYMbcFALUIcgGIpUDLmDFj6jo+/uGF26+99lr3DDx9LulmZp07d86Ul5fb9YKCArtsCR2nsrKSu5sAAKAR3YhbvHixXVdAq7q62uzYscM+tF5aWmpmzpxpzj//fLuP+jJq37VrV6v6J22Nvg6AKHk1v7Cq3ToANElZSers6O6fOkNoO6eP7zaXDfoDe8f0lVdeaXFH0v8/Gj9+vNm0aZNrBQAAqB3ip5tqCnDNmTPHtSYLfR0AccjkAoAMUHX2nPmgvIe9K6nhiq29U6rOK3c3AQBAkLK41EdQgCjdAJcCSipLoVpdQb5d5Sq0riGO2lYGe7Dswvr1622bL2+hul8PPPBA3T46J7VH1RJNVa80LpNL5/Ktb32r7v300LkF64x5/vhNXQOA5CDIBaBFjh49GvnHP1WHR9t+Hz2vdv/QfurkhAWPJwsXLmzwOtWUiKPj+ff3Dx0nfN6p6o4Fz0nrEyZMaPB8XKdpT9lH9vm44u867+Bx7vvBX5ujp7qZXr162efD55juZ6Zg2aWFVdSpAAAAjfzLv/yLXU6dOtUu0xXXr1D7vn37bL0u9YcUPNO2953vfMeUlJTYNi0XLFhg+5D33HOP2bBhg92nZ8+edhklVb1S9ZnC56Rz0Ln89Kc/NdOmTbPvp6Xao/pN/vhR13C4/KzbC0CiaLgiAKSrtLS0uqYzUF3TAXAtDen5mk5HdU1Hprp79+4aDm331frvT56u3rFjh23To6bTUV3T+bBL36bng3Q8tet4fh+t63V+e8mSJW7vev/9v//3RvvrvLVd04lxe9VasWKFfT748K/156N9wscLnve6devsfl7wcwgLHj98HD3Cn+2WLVvqnkv3M9PnHfXeAAAgd/n+Q7jfkkpcv8L30fSI6hf6/ku43yV6Tq/369pv1qxZdjvIv3f4+HHnpGOpzR/b8/24mTNnupZaTV0DgOQhyAWgWdQZ8EGu8vJy11rPPx/XWVBAJlXnQ52voN2lH9YdL9yRCQbMPvjgA9dafw5FRUWupZ4CYtpf7xfHn4t/v+D7hM87GIAKfh7+HMLXE7e/1i+55BLbrvMOPteSz0wBtnA7AADIbS0NckX1adRX8X20YL/F832upt7L97Oi+i0HDhyw76FAWfA94s4pjj/X8P4fl+9KeQ0AkofhigCaraYTYJdxdaNUI6F79+7mmWeecS31xo4da9auXduotkJNp8Omi3fr1s211OpuTpozZ87UvS5IbXqdPPfcc3Ypy5cvt+e4bNky11LvzjvvtMvnn3/eLsP8sEB5+OGH7XL16tV2qQKt4fOePHmyTYWXcOHTqFoR//zP/2yXOsfg56f1X/3qV3Up+cHnWvKZ6fOnJhcAAGgrF1xwgVurpb6WHiUlJZF9wpdfftkuhwwZYpdxTpw4YZdR/RY/Y7SGJobfQ/3DuL6OhjaqFpjKXOjxzW9+055reH9fDzXuGgAkD0EuAM2ioIoeElWTS9QRmT17dsrOQrjz4QNTZ882rn+ggE2/fv3cVkNjxoyxy9dff90u5f3337fLJ598su74wfeR7du32/pVYZpSW+ehgJY//w8//NAu4zppo0ePtsvgOYg+h3CtiIqKCru8+eab7TJO1Geb7mem/z9qpyYXAAAIiuo3pevjjz92a7XOmAttn8P3bcJ27dpll4MHD7bLOJpVWuL6LepPSbhvpP5h1GvUR9J5KXClG5V6qF8n4f11DTp+3DUASB6CXACaRcETPSQuiOWfjxPV+fDZUlF35OJmz5EBAwa4tXo+6KMOTfD4wfdRtlSPbl3tuvfiiy+azZs32/MKzji0bds2uxw6/Bq7jBMstCpRdxibCjzFfbbN+cz8MeI+MwAAkJt8v+npp5+2y3RF9cV8tn1+fr5raWjEiBF2uXfvXruM4zO54ui9Jdw3ijon9ZfUP1IWfGlpqUrz2IfW1Y+Kyn7XceKuAUDyEOQC0GzqJEhUtpGe0yMumOM7H0VFRZGdj6jXRWVEeQcOHHBr9XwHZseOHXXHDz/0XNgf/dEf2aUfpuj5GRLf3v2mXcbRNQXF3WGM4z87CX62zf3M/J3V5rw3AADIfr7UgWYRTDVDdZDPdorqV6Tq6/issXfeeccu46gcg85pz549rqVe165d7XsrmBbsG8Wdk8/mX7VqVaMyDxI1YiBVPxNA8hDkAtBsqTK59JwecVlE+/fvt0tN4RzV+Yh7XVy7r/dw7bXX2qWMHDnSLpvqVAUpkKTzDg5T9Pzdvbjj+Smwg+cgUZlcAwcOtMuoY/nPToLnkOozi3oPf2c17jMDAAC5Sf2Ir3zlK3ZdJRpUBiFM9Ul1g2/37t12O1W/Ip1s+wcffNAug9SnUaBNfN9GGfG+TXQen/vc52zfSMG0YN8o7pyigljiSzzEnSt9JiB7EOQC0Cy606aHRGVySaosIt+JCD//yCOP2M5HuF3HUruCT+pwBd9THSQNL1SGU3B4oeqByZIlS+wyLNixEq0rUyo8TNHzheX1fPB1EncOEnV30x9L51ZRWWXXRR05pdZ7wev0hV6jPjN1LsPtuuvZ3CwyAACQG5Tl5PtI6tvk5eWZcePG2YfWBw0aZPs2fphgXL/CZ1nF9TcWLVpkM8fUd9Jx586da28qan3KlCkNbvhpX9E5+P10HqrXpb6gAlrhfmfUOfm+mD+OHup7+hIPcedKnwnIHgS5ADSLAk56SFQml6S6U3bjjTfaZbDzoc5O1EyI4t9LAaCXXnrJdnTU8bnppptsB0nCr9W+CibpjqDvuOk1cR2re++9163VZnT5x/z58+0dTh3PdwaDnS+t+3NQsCss6g6jjqUOn87tMxeeb4+j4J3vyPnZIoOfrW+L+8zC76GZiFL9PwAAALnt/vvvN1u2bKnrYygQpYdu2qkPpZII/uZbXL/Cz3yYqr+hmadXrFhh132tVL2HMquCNwd1PtpP/Ty/n/bRTUAJZ3JJVD9r3rx59vXaX0s9xo8fb8tU6NhR50qfCcgy1QDQDDWdnuqaTkJ1TQeluqZT4FrrqU3P13SaXEtjNR0Ou49+BelR04mqO25JSYnbq9aBAwfqjqdja+lfp3PQ6+LUdN7ssf3+/r1qOjpuj1rBcwk/fvCDH7i9oo+n8406B389cZ/DkiVLGhynpiNn23W8qM821WcWfo/gZwYAAAAAuSJP/6n5wgQAGckP41O209q1a10rAAAAAAANMVwRQEYrdDW5qJUAAAAAAEiFIBeAjKYAl1ArAQAAoOVUz5NH+g8AycRwRQAp8Uc+O/CrHgCA3EafrnnoOwHJRJALQEp0iLIDv+oBAAAAZDuCXAAAAAAAAEg8anIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDxCHIBAAAAAAAg8QhyAQAAAAAAIPEIcgEAAAAAACDhjPn/AcdzesWXWgXpAAAAAElFTkSuQmCC\" data-image-state=\"image-loaded\" width=\"725\" height=\"334\"\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: 0px 8px; transform-origin: 0px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function yn = normalDepth(Q,n,S0,units,channelStruct)\r\n%  yn = normal depth\r\n%  Q = discharge (or flow)\r\n%  n = Manning roughness coefficient\r\n%  S0 = channel slope\r\n%  units = 'SI' for metric, 'USCS' for U.S. Customary System\r\n%  channelStruct = structure with with fields 'type', 'size1', and (for trapezoidal) 'size2'\r\n\r\n   C = switch(units,[1 1.49]);\r\n   yn = solve(Q-(C/n)*R^(2/3)*sqrt(S0)*A,0);   ","test_suite":"%%\r\nQ = 40;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 5e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 20;                   %  Width (m)\r\nyn_correct = 0.61;                          %  Normal depth (m)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 40;                                     %  Discharge (m3/s)\r\nn = 0.04;                                   %  Manning coefficient \r\nS0 = 5e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 20;                   %  Width (m)\r\nyn_correct = 1.12;                          %  Normal depth (m)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 400;                                    %  Discharge (cfs)\r\nn = 0.035;                                  %  Manning coefficient (rock)\r\nS0 = 6e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 50;                   %  Width (ft)\r\nyn_correct = 3.58;                          %  Normal depth (ft)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 4e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 8;                    %  Width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\nyn_correct = 0.72;                          %  Normal depth (m)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nn = 0.034;                                  %  Manning coefficient (rock)\r\nS0 = 4e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 8;                    %  Bottom width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\nyn_correct = 1.16;                          %  Normal depth (m)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 45;                                     %  Discharge (m3/s)\r\nn = 0.013;                                  %  Manning coefficient (asphalt)\r\nS0 = 8e-4;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 1.7;                  %  Bottom width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\nyn_correct = 2.80;                          %  Normal depth (m)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 45;                                     %  Discharge (m3/s)\r\nn = 0.013;                                  %  Manning coefficient (asphalt)\r\nS0 = 8e-4;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'triangular'; \r\nchannelStruct.size1 = 1.5;                  %  Side slope\r\nyn_correct = 3.33;                          %  Normal depth (m)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 350;                                    %  Discharge (cfs)\r\nn = 0.04;                                   %  Manning coefficient (clean winding channel)\r\nS0 = 5e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'triangular'; \r\nchannelStruct.size1 = 12;                   %  Side slope\r\nyn_correct = 4.52;                          %  Normal depth (ft)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 250;                                    %  Discharge (cfs)\r\nn = 0.024;                                  %  Manning coefficient (corrugated metal pipe)\r\nS0 = 1e-3;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'circular'; \r\nchannelStruct.size1 = 10;                   %  Diameter (ft)\r\nyn_correct = 7.28;                          %  Normal depth (ft)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 9.76;                                   %  Discharge (cfs)\r\nn = 0.015;                                  %  Manning coefficient (concrete pipe)\r\nS0 = 1e-2;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'circular'; \r\nchannelStruct.size1 = 1.5;                  %  Diameter (ft)\r\nyn_correct = 1.36;                          %  Normal depth (ft)\r\nyn = normalDepth(Q,n,S0,units,channelStruct);\r\nassert(abs(yn-yn_correct)\u003c0.01)","published":true,"deleted":false,"likes_count":1,"comments_count":4,"created_by":46909,"edited_by":46909,"edited_at":"2023-05-18T12:36:47.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":"2023-05-17T14:01:26.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2023-05-17T13:54:07.000Z","updated_at":"2023-05-18T12:36:47.000Z","published_at":"2023-05-17T14:01:26.000Z","restored_at":null,"restored_by":null,"spam":null,"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\u003eFor steady uniform flow in a channel of constant cross section and slope, the depth does not change with distance or time. In this state, the component of the fluid’s weight down the slope is balanced by the friction from the wetted perimeter $P$, the portion of the perimeter touched by the fluid. \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\u003eAs described in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/57969\\\"\u003e\u003cw:r\u003e\u003cw:t\u003eCody Problem 57969\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enormal depth\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e, or depth of flow in this state, can by computed from Manning’s equation for the discharge (or flow) \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\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:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = (C/n) R^(2/3) S0^(1/2) A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = \\\\frac{C}{n} R^{2/3} S_0^{1/2} A\u003c/w:t\u003e\u003c/w:r\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\u003ewhere \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is Manning’s roughness coefficient, \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R = A/P\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR = A/P\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the hydraulic radius, \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"S0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the slope of the channel,\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003eand \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the cross-sectional area of the flow. The coefficient \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is 1 for SI units and 1.49 for U.S. customary units.\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\u003eWrite a function to compute the normal depth of a channel. The unit system will be specified in units as either ‘SI’ or ‘USCS’ (U.S. customary system). The geometry of the channel’s cross section will be specified by a structure \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003echannelStruct\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e with the following fields and possible values:\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=\\\"124\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"435\\\"/\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\u003eThe side slope is the horizontal distance divided by the vertical distance; for example, a side slope of 1.5 would mean the bank rises 1 m for every 1.5 m in the horizontal direction. \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=\\\"334\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"725\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/docu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water surface profiles","description":"Problem statement\r\nWrite a function to classify the water surface profile starting at depth  in a channel with longitudinal slope , discharge , Manning roughness coefficient , and cross section specified by a structure channelStruct as in Cody Problem 58314. The unit system will be specified in units as either ‘SI’ or ‘USCS’ (U.S. customary system); take the acceleration of gravity  to be either 9.81  or 32.2 . You can assume that the slopes will be either mild or steep and the profiles will be one of the six shown in the figure below. \r\nBackground\r\nSections of channels are classifying by the relationship between the critical depth  and the normal depth . Slopes with  are steep—that is, normal flow is supercritical (fast and shallow), whereas slopes with  are mild—that is, normal flow is subcritical (slow and deep). \r\nThe type of water surface profile in gradually varied flow then depends on the water depth  relative to these two depths, as shown in the figure below. Profile S1 has ; profile S2 has ; and profile S3 has . Profile M1 has ; profile M2 has ; and profile M3 has .  \r\n\r\nFigure by NateJonesAR - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=25698746","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: 780.7px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 390.35px; transform-origin: 407px 390.35px; 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: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 106px; 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 53px; text-align: left; transform-origin: 384px 53px; 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: 211.842px 8px; transform-origin: 211.842px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to classify the water surface profile starting at depth \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);\"\u003ey\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: 112.05px 8px; transform-origin: 112.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e in a channel with longitudinal slope \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"S0\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" 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: 36.175px 8px; transform-origin: 36.175px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, discharge \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);\"\u003eQ\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: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, Manning roughness coefficient \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);\"\u003en\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: 134.183px 8px; transform-origin: 134.183px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and cross section specified by a structure \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: 50.05px 8px; transform-origin: 50.05px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003echannelStruct\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: 18.6667px 8px; transform-origin: 18.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e as in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58314-compute-the-normal-depth-of-a-channel\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58314\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The unit system will be specified in \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: 19.25px 8px; transform-origin: 19.25px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-family: Menlo, Monaco, Consolas, \u0026quot;Courier New\u0026quot;, monospace; \"\u003eunits\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: 252.408px 8px; transform-origin: 252.408px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e as either ‘SI’ or ‘USCS’ (U.S. customary system); take the acceleration of gravity \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);\"\u003eg\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: 54.45px 8px; transform-origin: 54.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to be either 9.81 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"m/s^2\" style=\"width: 33px; height: 19.5px;\" width=\"33\" height=\"19.5\"\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: 25.6667px 8px; transform-origin: 25.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or 32.2 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"ft/s^2\" style=\"width: 30.5px; height: 19.5px;\" width=\"30.5\" height=\"19.5\"\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: 258.808px 8px; transform-origin: 258.808px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. You can assume that the slopes will be either mild or steep and the profiles will be one of the six shown in the figure below. \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: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 65px; 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 32.5px; text-align: left; transform-origin: 384px 32.5px; 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: 211.617px 8px; transform-origin: 211.617px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSections of channels are classifying by the relationship between the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58324\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ecritical depth\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yc\" style=\"width: 14px; height: 20px;\" width=\"14\" 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: 27.225px 8px; transform-origin: 27.225px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58314-compute-the-normal-depth-of-a-channel\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003enormal depth\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yn\" style=\"width: 14.5px; height: 20px;\" width=\"14.5\" 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: 41.6167px 8px; transform-origin: 41.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Slopes with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yn \u003c yc\" style=\"width: 44.5px; height: 20px;\" width=\"44.5\" 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: 14px 8px; transform-origin: 14px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are \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: 17.1167px 8px; transform-origin: 17.1167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003esteep\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: 237.275px 8px; transform-origin: 237.275px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e—that is, normal flow is supercritical (fast and shallow), whereas slopes with \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yn \u003e yc\" style=\"width: 44.5px; height: 20px;\" width=\"44.5\" 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: 14px 8px; transform-origin: 14px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e are \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: 12.8417px 8px; transform-origin: 12.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-style: italic; \"\u003emild\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: 29.55px 8px; transform-origin: 29.55px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e—that is, normal flow is subcritical (slow and deep). \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 65px; 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 32.5px; text-align: left; transform-origin: 384px 32.5px; 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: 279.292px 8px; transform-origin: 279.292px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe type of water surface profile in gradually varied flow then depends on the water depth \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);\"\u003ey\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: 99.35px 8px; transform-origin: 99.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e relative to these two depths, as shown in the figure below. Profile S1 has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y \u003e yc \u003e yn\" style=\"width: 70.5px; height: 20px;\" width=\"70.5\" 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: 48.6167px 8px; transform-origin: 48.6167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e; profile S2 has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yc \u003e y \u003e yn\" style=\"width: 70.5px; height: 20px;\" width=\"70.5\" 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: 62.2333px 8px; transform-origin: 62.2333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e; and profile S3 has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yc \u003e yn \u003e y\" style=\"width: 70.5px; height: 20px;\" width=\"70.5\" 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: 37.3333px 8px; transform-origin: 37.3333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. Profile M1 has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"y \u003e yn \u003e yc\" style=\"width: 70.5px; height: 20px;\" width=\"70.5\" 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: 49.7833px 8px; transform-origin: 49.7833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e; profile M2 has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yn \u003e y \u003e yc\" style=\"width: 70.5px; height: 20px;\" width=\"70.5\" 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: 63.4px 8px; transform-origin: 63.4px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e; and profile M3 has \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"yn \u003e yc \u003e y\" style=\"width: 70.5px; height: 20px;\" width=\"70.5\" 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: 3.88333px 8px; transform-origin: 3.88333px 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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 427.7px; 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 213.85px; text-align: left; transform-origin: 384px 213.85px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cimg class=\"imageNode\" style=\"vertical-align: baseline;width: 440px;height: 422px\" 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\" data-image-state=\"image-loaded\" width=\"440\" height=\"422\"\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: 353.142px 8px; transform-origin: 353.142px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFigure by NateJonesAR - Own work, CC BY-SA 3.0, https://commons.wikimedia.org/w/index.php?curid=25698746\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function profType = classifyGVF(y,Q,n,S0,units,channelStruct)\r\n%  profType = character string--one of S1, S2, S3, M1, M2, or M3\r\n%  y = water depth\r\n%  Q = discharge\r\n%  n = Manning roughness coefficient\r\n%  S0 = channel slope\r\n%  units = either 'SI' or 'USCS' (i.e., lengths in m or ft)\r\n%  channelStruct = structure describing the cross section--see CP 58314\r\n\r\n  y = 'S1';\r\nend","test_suite":"%%\r\nQ = 40;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 5e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 20;                   %  Width (m)\r\ny = 1.2;                                    %  Depth (m)\r\nprofType_correct = 'S1';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 40;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 5e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 20;                   %  Width (m)\r\ny = 0.7;                                    %  Depth (m)\r\nprofType_correct = 'S2';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 40;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 5e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 20;                   %  Width (m)\r\ny = 0.34;                                   %  Depth (m)\r\nprofType_correct = 'S3';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 400;                                    %  Discharge (cfs)\r\nn = 0.035;                                  %  Manning coefficient (rock)\r\nS0 = 6e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 50;                   %  Width (ft)\r\ny = 4;                                      %  Depth (ft)\r\nprofType_correct = 'M1';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 400;                                    %  Discharge (cfs)\r\nn = 0.035;                                  %  Manning coefficient (rock)\r\nS0 = 6e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 50;                   %  Width (ft)\r\ny = 2;                                      %  Depth (ft)\r\nprofType_correct = 'M2';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 400;                                    %  Discharge (cfs)\r\nn = 0.035;                                  %  Manning coefficient (rock)\r\nS0 = 6e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 50;                   %  Width (ft)\r\ny = 1;                                      %  Depth (ft)\r\nprofType_correct = 'M3';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 4e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 8;                    %  Width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\ny = 1;                                      %  Depth (m)\r\nprofType_correct = 'S1';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 4e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 8;                    %  Width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\ny = 0.75;                                   %  Depth (m)\r\nprofType_correct = 'S2';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nn = 0.015;                                  %  Manning coefficient (concrete)\r\nS0 = 4e-3;                                  %  Slope\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 8;                    %  Width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\ny = 0.6;                                    %  Depth (m)\r\nprofType_correct = 'S3';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 350;                                    %  Discharge (cfs)\r\nn = 0.04;                                   %  Manning coefficient (clean winding channel)\r\nS0 = 5e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'triangular'; \r\nchannelStruct.size1 = 12;                   %  Side slope\r\ny = 4.7;                                    %  Depth (ft)\r\nprofType_correct = 'M1';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 350;                                    %  Discharge (cfs)\r\nn = 0.04;                                   %  Manning coefficient (clean winding channel)\r\nS0 = 5e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'triangular'; \r\nchannelStruct.size1 = 12;                   %  Side slope\r\ny = 3.5;                                    %  Depth (ft)\r\nprofType_correct = 'M2';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 350;                                    %  Discharge (cfs)\r\nn = 0.04;                                   %  Manning coefficient (clean winding channel)\r\nS0 = 5e-4;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'triangular'; \r\nchannelStruct.size1 = 12;                   %  Side slope\r\ny = 2.0;                                    %  Depth (ft)\r\nprofType_correct = 'M3';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 250;                                    %  Discharge (cfs)\r\nn = 0.024;                                  %  Manning coefficient (corrugated metal pipe)\r\nS0 = 1e-3;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'circular'; \r\nchannelStruct.size1 = 10;                   %  Diameter (ft)\r\ny = 7.3;                                    %  Depth (ft)\r\nprofType_correct = 'M1';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 250;                                    %  Discharge (cfs)\r\nn = 0.024;                                  %  Manning coefficient (corrugated metal pipe)\r\nS0 = 1e-3;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'circular'; \r\nchannelStruct.size1 = 10;                   %  Diameter (ft)\r\ny = 7.2;                                    %  Depth (ft)\r\nprofType_correct = 'M2';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nQ = 250;                                    %  Discharge (cfs)\r\nn = 0.024;                                  %  Manning coefficient (corrugated metal pipe)\r\nS0 = 1e-3;                                  %  Slope\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'circular'; \r\nchannelStruct.size1 = 10;                   %  Diameter (ft)\r\ny = 3.7;                                    %  Depth (ft)\r\nprofType_correct = 'M3';                    \r\nprofType = classifyGVF(y,Q,n,S0,units,channelStruct);\r\nassert(strcmp(profType,profType_correct))\r\n\r\n%%\r\nfiletext = fileread('classifyGVF.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2025-07-09T21:56:12.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-05-23T01:31:32.000Z","updated_at":"2025-07-09T21:56:13.000Z","published_at":"2023-05-23T01:34:25.000Z","restored_at":null,"restored_by":null,"spam":null,"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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\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\u003eWrite a function to classify the water surface profile starting at depth \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e in a channel with longitudinal slope \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"S0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, discharge \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, Manning roughness coefficient \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"n\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, and cross section specified by a structure \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003echannelStruct\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e as in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58314-compute-the-normal-depth-of-a-channel\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58314\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. The unit system will be specified in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:rFonts w:cs=\\\"monospace\\\"/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eunits\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e as either ‘SI’ or ‘USCS’ (U.S. customary system); take the acceleration of gravity \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to be either 9.81 \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"m/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rm m/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e or 32.2 \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"ft/s^2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rm ft/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. You can assume that the slopes will be either mild or steep and the profiles will be one of the six shown in the figure below. \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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\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\u003eSections of channels are classifying by the relationship between the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58324\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ecritical depth\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:rPr/\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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:rPr/\u003e\u003cw:t\u003e and the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58314-compute-the-normal-depth-of-a-channel\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003enormal depth\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yn\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Slopes with \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yn \u0026lt; yc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_n \u0026lt; y_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003esteep\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e—that is, normal flow is supercritical (fast and shallow), whereas slopes with \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yn \u0026gt; yc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_n \u0026gt; y_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e are \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:i/\u003e\u003c/w:rPr\u003e\u003cw:t\u003emild\u003c/w:t\u003e\u003c/w:r\u003e\u003cw:r\u003e\u003cw:t\u003e—that is, normal flow is subcritical (slow and deep). \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\u003eThe type of water surface profile in gradually varied flow then depends on the water depth \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e relative to these two depths, as shown in the figure below. Profile S1 has \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y \u0026gt; yc \u0026gt; yn\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey \u0026gt; y_c \u0026gt; y_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e; profile S2 has \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yc \u0026gt; y \u0026gt; yn\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_c \u0026gt; y \u0026gt; y_n\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e; and profile S3 has \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yc \u0026gt; yn \u0026gt; y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_c \u0026gt; y_n \u0026gt; y\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. Profile M1 has \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y \u0026gt; yn \u0026gt; yc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey \u0026gt; y_n \u0026gt; y_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e; profile M2 has \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yn \u0026gt; y \u0026gt; yc\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_n \u0026gt; y \u0026gt; y_c\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e; and profile M3 has \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"yn \u0026gt; yc \u0026gt; y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey_n \u0026gt; y_c \u0026gt; y\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: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:customXml w:element=\\\"image\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"height\\\" w:val=\\\"422\\\"/\u003e\u003cw:attr w:name=\\\"width\\\" w:val=\\\"440\\\"/\u003e\u003cw:attr w:name=\\\"verticalAlign\\\" w:val=\\\"baseline\\\"/\u003e\u003cw:attr w:name=\\\"altText\\\" w:val=\\\"\\\"/\u003e\u003cw:attr w:name=\\\"relationshipId\\\" 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9ovku8bQMbYkj29efuZzx1/PUt4YbaCOC2iSGGMbUjRdqqPQAcAVz48d+FO2vWWP+ulA8d+FMf8AIfsz9ZKAG3nh97r4h2OvTJbi3srNooiCfNaViRzxgqFLY5zkmr0GnXFnfaldWtwCLxvOEEiYxN5YTO7+7hF4xnOTk9BTHjvwn212y/77oHjvwp312y/7+UAW/CGjvoXhiz06aYz3Ealp5S27fIxLOc8EjLHGecYzW1XNf8J34U/6D9n/AN/KP+E78Kf9B+z/AO/lAHS0VzX/AAnfhT/oP2f/AH8pf+E78Kf9B+z/AO/lAHSUVzX/AAnfhT/oP2f/AH8o/wCE78Kf9B+z/wC/lAHS0Vzf/Cd+FP8AoP2f/fyk/wCE78Kf9B+z/wC/lAHS0VzX/Cd+FP8AoP2f/fyl/wCE78Kf9B+z/wC/lAHSUVzX/Cd+FP8AoP2f/fyj/hO/Cn/Qfs/+/lAHS0Vzf/Cd+FP+g/Z/9/KT/hO/Cn/Qfs/+/lAHS0VzX/Cd+FP+g/Z/9/KX/hO/Cn/Qfs/+/lAHSUVzX/Cd+FP+g/Z/9/KP+E78Kf8AQfsv+/lAGjrukxazaLbyXd3aFG3pNZzmKRDgjqOvBPBqloPhey0Sea5SW6vb+dfLkvL6UzSsg5C5PQdOBwcDPQVH/wAJ54U/6D1n/wB90f8ACd+E8f8AIdsv++6AF8OeE7Dw8tzFZ3N7JZzkhbO4n8yKEEkkIuOBzySSTjmo7DwjDpjQJa6vq6WMDh0shcAxrg52527yue2726Gn/wDCeeFM/wDIes/++6P+E88J99esz/wOgBbjwpA+qXF/p+p6hpst3g3As5lCSsBgMQysM4HUYrJ8b+HrnUYPDNpaR3Fzb2uoRNcSGc7xEowzl8g5x3BznnrWr/wnfhTtrtl/38o/4Tvwpz/xPbL/AL+UAO8OeFLPQ7u4vlur6/vrhQjXV/N5suwdEBwMDI/l7Yt65odprR083ck0f2C7S8jEbAZdckA5B45PTH1ql/wnfhT/AKD1kf8Atp0o/wCE78J4wddsv++6ALc+g2sniiDXg80d3DA1u2xsJLGcnDKQc4JyMEe+cCqH/CH28Us50/VtUsLe6lMstrbXIWMseTtypZc5P3SP0qT/AITvwnn/AJDtlnP9+j/hO/Cf/Qdsuf8AboAn1Pw7Bfazb6pFc3VlfRRGEzWrKDJETnY24HjPOeCDVO38D6PFoN7pTC5ltry7a8YyTbnjkOOVfGf4Rycnk5JqX/hO/Cf/AEHbL/vuj/hPPCf/AEHrL/vugBlv4Pto9G1HTrnVNVvhfxiOWe7ujJIq46LkYHU9s8/SrN14XsLmw0S0aSdIdGmhltwjLljEMIGJHIx1xiof+E68J9tdsvxko/4Tvwpn/kPWXt+8oA09Z09dW0a90+R9qXUDxFvTIxn9c9+lZOhW93H8PLaw1XTHM8NgbeW0DqxkCqV2ghsfMB69+cU//hO/CfP/ABPrLnnl6D478JnIOu2RB4/1lAGB4Z8K3elfCO+0ryMapfWs7yRbs/vHUqq88A4CA9s55710segWjR39lPaD7BcvHIYt3EjDBYsAe5A3f3uc5yah/wCE78KEf8h6y59ZKP8AhO/Cn/Qdsv8Av5QBuwQw21skFvCkcMY2rHEoUKOmAB0Fcn4O8Oy6ZrXibUpbb7I+oXreQhkV/wB2MkOMZxuZmO09MDir58d+FMf8h6ywOmJKP+E78Kd9esv+/lAGReaLq03w7OjQW5hvrgRW11OZFcsMqJZiCeQVBP8AfORwCK7iFVSMIuAqfKAOwFc7/wAJ14Tx/wAh2xx/10pf+E78Kf8AQfsh/wBtKAOlorm/+E78Kf8AQfs/+/lJ/wAJ34U/6D9n/wB/KAOlormv+E78Kf8AQfs/+/lL/wAJ34U/6D9n/wB/KAOkormv+E78Kf8AQfs/+/lH/Cd+FP8AoP2f/fygDpaK5v8A4Tvwp/0H7P8A7+U638aeGbq4igt9ctJJZGCook5Yk8AfWgDoqKQfj+NFAC1wvxl/5Jtff9dIv/QxXdVwvxl/5Jvff9dYv/QxQBsweEPDBgQnQNNJKgn/AEVD2+lP/wCEO8Mf9C/pv/gIn+FbNv8A8e0X+4P5VLQBg/8ACH+GP+hf03/wET/Cj/hD/DH/AEL+m/8AgIn+Fb1Nb3OBQBh/8Id4Y/6F/Tf/AAET/Cj/AIQ/wx/0L+m/+Aif4VtBs85yM9vWnr065oAwv+EP8Mf9C/pv/gIn+FH/AAh3hj/oX9N/8BE/wreooAwf+EP8Mf8AQv6b/wCAif4Uf8If4Y/6F/Tf/ARP8K23YKeTj0/z/npSr065xQBh/wDCHeGP+hf03/wET/Cj/hD/AAx/0L+m/wDgIn+Fb1FAGD/wh/hj/oX9N/8AARP8KP8AhDvDH/Qv6b/4CJ/hW9RQBg/8If4Y/wChf03/AMBE/wAKP+EP8Mf9C/pv/gIn+Fb1FAGD/wAId4Y/6F/Tf/ARP8KP+EP8Mf8AQv6b/wCAif4VvUUAYP8Awh/hj/oX9N/8BE/wo/4Q7wx/0L+m/wDgIn+Fb1FAGD/wh/hj/oX9N/8AARP8KP8AhD/DH/Qv6b/4CJ/hW9RQBg/8Id4Y/wChf03/AMBE/wAKP+EP8Mf9C/pv/gIn+Fb1FAGD/wAIf4Y/6F/Tf/ARP8KP+EO8Mf8AQv6b/wCAif4VvUUAYP8Awh/hj/oX9N/8BE/wo/4Q/wAMf9C/pv8A4CJ/hW9RQBg/8Id4Y/6F/Tf/AAET/Cj/AIQ/wx/0L+m/+Aif4VvUUAYP/CH+GP8AoX9N/wDARP8ACj/hDvDH/Qv6b/4CJ/hW9RQBg/8ACH+GP+hf03/wET/Cj/hD/DH/AEL+m/8AgIn+Fb1FAGD/AMId4Y/6F/Tf/ARP8KP+EP8ADH/Qv6b/AOAif4VvUUAYP/CH+GP+hf03/wABE/wrk/GnhvQrXWPC6W2j2UST6mscypbqokXaeDgcivSq4vx7/wAhzwef+osv/oJoA1v+EO8MDj/hH9N/8BU/wo/4Q/wx/wBC/pv/AICJ/hW7S0AYP/CHeGP+hf03/wABE/wo/wCEP8Mf9C/pv/gIn+Fb1FAGD/wh/hj/AKF/Tf8AwET/AAo/4Q7wx/0L+m/+Aif4VvUUAYP/AAh/hj/oX9N/8BE/wo/4Q/wx/wBC/pv/AICJ/hW9RQBg/wDCHeGP+hf03/wET/Cj/hD/AAx/0L+m/wDgIn+Fb1FAGD/wh/hj/oX9N/8AARP8KP8AhDvDH/Qv6b/4CJ/hW9RQBg/8If4Y/wChf03/AMBE/wAKP+EP8Mf9C/pv/gIn+Fb1FAGD/wAId4Y/6F/Tf/ARP8KP+EP8Mf8AQv6b/wCAif4VvUUAYP8Awh/hj/oX9N/8BE/wo/4Q7wx/0L+m/wDgIn+Fb1FAGD/wh/hj/oX9N/8AARP8KP8AhD/DH/Qv6b/4CJ/hW9RQBg/8Id4Y/wChf03/AMBE/wAKP+EP8Mf9C/pv/gIn+Fb1FAGD/wAIf4Y/6F/Tf/ARP8KP+EO8Mf8AQv6b/wCAif4VvUUAYP8Awh/hj/oX9N/8BE/wo/4Q/wAMf9C/pv8A4CJ/hW9RQBg/8Id4Y/6F/Tf/AAET/Cj/AIQ/wx/0L+m/+Aif4VvUUAYP/CH+GP8AoX9N/wDARP8ACj/hDvDH/Qv6b/4CJ/hW9RQBg/8ACH+GP+hf03/wET/Cj/hD/DH/AEL+m/8AgIn+Fb1FAGD/AMId4Y/6F/Tf/ARP8KP+EP8ADH/Qv6b/AOAif4VvUUAYP/CH+GP+hf03/wABE/wo/wCEO8Mf9C/pv/gIn+Fb1FAGD/wh/hj/AKF/Tf8AwET/AAri/iNoWk6TN4am0vTLS0lfV4VZoIVQkdcZAr1KvPviv/zK/wD2GYf60AegDA6Y/CigUUALXC/GX/km99/11i/9DFd1XC/GX/km99/11i/9DFAHa2//AB7Rf7g/lUtRW/8Ax7Rf7g/lUtABTW6gYG739MimTSeXzhyMjhFLHk46Ae/+cVXF/bhVLShMgDEilDzjH3v94fnQByFhpulah42n1KysraKPS5HQSRRqr3Vywy5yOcJkjnOWY/3RU+kazqU76Bdve+cNXYiez8tMWoETsdpHzcMoU7ie/A6Vv22jaEt2L+10vTvtRYuLiK3jD7j1O7GcnPXPerkFlZ293NcW9pBFcXGDNIkaq8mOm4jk496AON0HWNZa18K3N9frdDV42SaIRKgDCNnDA9c/LhhyDngLjBm8KaxrmqXFpd3EU/2O7iLTLJ9nCQtjgR7HL9QQQ4z/ALuCD1qWFnGlukdpAi2v+oVYwBFwV+X+7wSOOxNJDp9jBey3kNlbx3U2BJMkSh3x0ywGTQBzetWca+OPDd95kzytczR4aUlEX7PJjCA4GeuevbpgDrV6VQu9D0i9u1urzSrK4uVxiaW3R3GOnzEZrQoAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuI+ILbda8Hn11hB+YxXb1w3xE/5DPg7/sMx0AdwO/OeaWkpaACiiigCC6nS2t5J5N+yJdzbEZzj2VRkn6VQ0vXtP1a7uLezlnE9uqtJHNbSRMobO04dRwcVb1K5aysLi6S3kuHhiLrDCpZ5COdoA5JP9a4mwS7ufC12YYb8azdTQ3WotJaS2/mDcu+OMuBkBFKAA9vegDvc/MME5PY0Lu45/DP8686fRzPrmnS6bp1zaaGb2BltxHJBsZY7jzHMZAKKdyKeAG96fcaVqMWm31laW7R6bBrBb7O9s8ytbGAEqsYZS6eY33VPUEDOMEA9BJxwWI7ZBz/AJ/+vVHT9Z0/UtQvLKzulmuLJgLhEJIjJJwCcYz8pyM8Yqr4TtXs9ERGlZ0aRnjU2rW4iQ8hFjdmZVHYZ46cAVnaJNGPGurGGzu4LaS1to4Wexlij/dmUMAWUAYDLj1zxmgDrEPFOpqHIP1p1ABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXn3xY/wCZX/7DMP8AWvQa8++LH/Mr/wDYZh/rQB6AKKBRQAtcL8Zf+Sb33/XWL/0MV3VcL8Zf+Sb33/XWL/0MUAdrb/8AHtF/uD+VS1Fb/wDHtF/uD+VS0AJS0UUAQS2ltKczW8T57sgJpn2ODoodPaORlA/I1apKAKptnziK7nQe21vUdWB/n2pGW8BPlzxkc4Dxcjr3B9cdqt0YGMY4oApvLeqGIgikTBIIlKsfvY424/u9+59ORrqZGbfZXG0Z+ZShzjd0G7P8I7fxL74u0hAPUUAUm1CBHYSedGFySzQuF43d8YxhG7/3f7wy5L21eQxpdxM6k8BwTkFgRjPqjj/gJ9DVumyRRyqVljV1IwQwyCMY/kT+dACbsEgk59/8/WnL0qq+n2YDBLdI92dxjGzruJOR7s3PqxNL9jALGOedCSTkSlu5/vZ9f0HpQBboqoIJlPyXjseeJFDDqfTFA+2DgGCXHUcp/wDFUAW6KqefcrwbR2P+xIp/mRQbwKB5kM6E8f6st3/2c+tAFuiqgvrXC5m27um/5CenrjuwH1IqRJkkAaKRHBG4FWyCMA5z6cigCeimr06n8adQAVDczRW8LzTyLFFGpZ3dtqgAEk5+gqasLxng+F7uFgcXJjtjjriSRY//AGagDXSVJER45AUlGY2DZByM8evf8qlHTHpXnwvk0jV/sEysyaDbXl4irwXgCp5ePosjRj/rma2m1XUtOnRdUktZklsZrv8AcIyeWY9mRnc25T5nXAxjvkYAOoornU1rUUisEutLH2y+3MkEFxu8tQgb52YDHPBxnGRjNO0zxJHqE1qrWN3brdF0ilm2bDImdycMTkbW5IAOOCc0AdBRWP8A27aMbhf9JikhhafZNbyRllHUjcozzjoe49aSTV2tPDdvqd5A7PJHDmGEgtvkKqFBYgfebqSKANmiszT9VivZ5bZoZ7a6jRWkguAFYK2cEFSQRkEZUnmtFOh5zzQA6imt9SM96buBbbnn0JoAkopqcrnOc06gArhviLn+2PBx/wCozEOtdzXE/EP/AJCXhDp/yG4e3saAO1paSloAKp3v9oeYpsTbMuPnSbcCfowzj8quUUAZ0E2oi1lkvbKEXCfcjtbgybxj1dUAOfw460y11KeaZYrjSb61Y8BpfLdfzRmx+OK06KAMy41zTLWR1vbxbbyzgtMpjX6hmGCPfOKuQ3ME8STQTRSRyrujdGBVh6gjrViqt7p1jqEax39nb3UanIWeJXA+gNAFg9xz68YpcetUINIsLW3lhs7ZbaKddji3JjwD6bcbTz1GP0qGPSnimRrfVL+NFYMY2lWQMOPlJcM3PTgg89elAGrS1l3UOrNOXstRtY4iQfKuLRpCOOgZZF+vQ9fSpJW1SOziMMFrcXO7EgadolxzyDsb24x680AaFFZ9rdXcryJc6dPAFXIcyIyt7DDZz+H41EmtWxnEMkN/E7HHzWUu3/voLt/WgDVoqhNq2mwXf2WbULWO4I3CF51DkZ64Jzjg1bR1dNyMHB6FT1oAkopB3paACiiigAooooAKKKKACio5G25JbAAz1wBWZY65Y38sSWrXBEwJile3kSOVR3VyADxyMHkcjIoA16KrPcRJJFFJMqyS8IpYAsRzgf5NShhhct97gc/jQBJRTVzjk9adQAUUUUAFFFFABRRRQAV598WP+ZX/AOwzD/WvQa8++LH/ADK//YZh/rQB6AKKBRQAtcL8Zf8Akm99/wBdYv8A0MV3VcL8Zf8Akm99/wBdYv8A0MUAdrb/APHtF/uD+VS1Fb/8e0X+4P5VLQAU1s5470N6c8+lNboR+OM0Ac0dQ1xPGEGmiewuLQq89xstnR4IukeXLlSzNwOOise1XLLxJa3l1axpFcrFeHFpcvH+7uPlLnbgkj5QT8wXOOM1W0rQdSsNWvrhtUtp4b25aadGsf3hBG1V378fKuB93t7mlsPDbWclhHJeiaz0vmxhEW1o/kKZdsnfwxwQBj0PGAB2k+K7LUzpxSG8gi1GMvbyzw7FcqCWTOfvYGfQgHBODU+n+Iba+uIooorhEuEL2lxIoEdyAOSnJPGejAEjkZAJFay8M/ZLLw7A135g0Xd8xhx5oMbR9M8fez36Uzw/4TtdBug1vHYeXEmyGRLBVuFGP45Qfm/IUATa/qmpaVc2DwpbS29xdx2xhO7zWDdWUjjK8krg8AnIxXQKTzn1rlrvw/qkviibWINXtl/diK3huLHzfsy4w20iReWPJOM4AHIFdUO9AC0UUUAJgelGB6ClooASloooAKKKKAEqu9pbM4Y28RYHIbyxnOR3/wCAr+VWaSgCklhDGylDMoGAoWZwBjb2zg/cXt03DoxyiWsyFdt9cgDHytsYH7vquf4T0P8AG3+zi9gegooApIl+Np+0ROuMMGiIYn5OchsdnPQ/eH905Fe84863gYDB+WU57diox/F37D14u4HpS0AZv7uS5M82lsJnj8pnaONmKcHaSGPGWPHsfbOemlaILG6tBavCl1bm3k3LICIiMFFLfdGG4A4zXQ0UAZhjsbnVLa9S5RpbaGSJEWRSuGKEkjrkBF57Amq0ehrDFpqRXTD+z43VWKZbcy7Q/XAIBPbHPatqSOOTiRFcejLmq5srVVCpCIhjAEWY8fiuKAOUfwxqMljerJPC1xNpUlhHI00rlnc4LsXzjOBx7dTW34it55rGzjtbWS4WK8gkkjjKqdsbhsjcQOqjvV9rTCny7m4iYjqHDY4P94Hp/T0pWhuQD5dyM9vMjDYPPpt74/AH1yADldbj1i7S+1OG1nsysEdrHH9+YxtKpmkCxtnhBwA27IPtVe6mlsNKnnj1g29tc3trGkke4C3wVMjDzM8FR06DnPU12Lm/XOxIJW5xlynZsdm77R+Z9jVvo2mktpJ7CWU2szTR+U6YzskUZBIzkHGP7zr2BIAObuZrm6Se0tdXuDAms28EE6lSzABHkjLY+YA7vfOQSQCKkuLrUbHVtb1O3e3dLRba3mWRTvmKpvIUggL/AK4dj1rfuzp09oba7sC9qDkRtaM6DbuO7hSP+WZIPuvdly24j0iSOaCcxRieZZZgWKF2Toc8dBD+SHtmgDYXvzmlqJXV8bXUnOOD3HGPzB/KpB3+tAC1xPxD/wCQl4R/7DcP8jXbVw/xIJW+8IEH/mO24/U0AdxRSCloAKKKKAGO23knHGef1pMnnuRjgnHNQak1oun3P9oiM2YiJmEuCuwD5sj0xXC6PFHo2hXviHT7G3sp9UltxHBHGALWBnVFLKp5bDF29zg8CgD0Ne/OeadXA3era1Z+ILXR4dVFxG11bq13LAhYh47hnRtu1ePLQjABGRnPdZte1i2tJrHzJbqeLVjYG5iSJZTGYfMVsMRHvyQuTxnoMkCgDuzjnPA700EcgsMD17VleHZtRm0tv7VR0nSRkRpDHvZBjazCNmUNj044zgZxWJ4dW01DxdPq+juqacIWtzIshIvpdwzIAT8wXbt39Tk8kAEgHZigKB0AoU5z9aWgBMD0FLRRQAySOOVSsqK6nswyKqvplibX7KtrGkGc7IxsAPrxirtFAGba6VbWM7S2815kjG2W9llUZ/2XYgfgKh/s/UY2fytcnfLZAuIInC57fKFP51r4HHHSloAoXZ1NWH2IWsg2/MkzMmTzzkBsD8KbFcagtg8t5YobhTxDaXG/ePUM4QevBx0681oUYGc45oAzbbUZJZUjn0++tWfnEiKwGATyUZgOnc+3pUc3iDSrVnW81CG1KHaxuW8pcj3bg/hmtbA9KKAIo5o5ER0kDq43IVYHcPXPepAR93dnHvzVW/0vTtRRV1GxtrpU5UTwq+36ZHFMh0y0toJILaMwRyDBETlSP93HT8KAIfEllNqXhvUrG1YLNcWkkSFiQNzKQM/nWXqeqy33hnULWwtNQtL02jIgltpIvLkYFVCvjDEE5yhPTrWpDpcsNyjw6rfmKM4MDtG6uPQllLfkwpbmHWPtZa0v7FYs58qazZmx6bhIPzwaAMa+WTTL1oba8vBBHp13cyu8zSN5mY9py+Rxh8ADAz0qja3CeH9J0aOaU3sVlpc94GkSPcgijjXajADHDkZ5JHUmutle/jgjMdvbzzHiUeaUA+nynP44qnZwwNHJHLoP2SKOBo1+WJldGOWRQjE84yRgZ469gCIXeqWenGfU7nTfMlKiMIHiVWOcr95y59MYz6CqkGtT6k+jmHERk1OaGby5NyOkaS5IPcFlWmwxaI4htVh1O1linV4XlhuR5b4ZVCvICu3a7Ltzt5IxzVi0ttFsL+C3j1BFuLQzSCCa4DSFpm3EsCdx6nGexoAsahc6m+vQWGmTW0KrbNPMZ4WlJ+ZVVRh1x/Fzz06UWOvQS6ak96yWs/nSW7xbi37yNir7eMsOCRxnHUDs2706/bW5dS069t4xPbJblZ7dpNu13YMpVwOd/QjsORWfL4cktrjTp7RpLk28UyTf6S0Du8rrIz5Xg5ZTlTxyMdAKAOh+32ZhimF3D5MiCRH80bWUkYYHPI5HI45FPN1F9qS1Mu2d42kWMnkquAT+BYCuPNutt4iFrFoRv4rHSkRIgyOY2laTIzIRwRHgn3GfZ+k6UmlaxYfbrQSXVto0UK3aQlw8i7t43gdgq9T3GO9AHXWF1Fe2q3FuzNG5IBYYPBwf1FWa4jwxaT6ZL4dtjPdmW50ySW7jkmdk3L5XRCcIQZCOAPfJrtl6fSgBa8++LH/Mr/8AYZh/rXoNeffFj/mV/wDsMw/1oA9AFFAooAWuF+Mv/JN77/rrF/6GK7quF+Mv/JN77/rrF/6GKAO1t/8Aj2i/3B/Kpait/wDj2i/3B/KpaAILq3huoWiuYlkjPZulVbbSrW0uPtEDXQbGNjXUrp/3wWI/StGkwPSgDKbTr5Znki1u72sciKaKJkHsMID+Zqe6GpDyzZyWrBV+dZkZdx9QwJx+Rq/RQBn28+pLaSveWMPnp9yK1uN+8fVlXB68Hj39GWupTTSpHPpF7aE9DL5bKOO5R2A/GtKloAyptc021eSO6uhb+WeWnRo047hmGCPcHFXIrqGeKKSCeN45huidXBDD1BHXrVmqt7YWN9GI7+zt7mMdFmiVx+RFAFjIz19+valHes+DSNPtLaaGztltY5U2MLYmPAwR8u3BU+4x+lRrpTwyo8Gp36IjZaMyrIrjIOCXDHH4g8n2oA1aKy7uDVmn32Oo20aEjMc9o0mMDsVkX+tPmfU47OIww2tzcdJd0zQqOOo+Vvbg+/0oA0aKo29zcyPIs9jNAEGQ+9HDewwc5/Cqya7bm4EMkF/E7HAD2M238WCbf1oA16KoT6tptvdi0uNQtobkoG8mSZVcg9CAT7GraOkiBkcOrdCp4P0NAElFIPxpaACiiigAoorF1O+vn1ePTNLaCOXyDPNNOjSLGucKAispYkg9xgKevSgDaorHj1RbSa2sNVuIzqUvIS3ich1L7Q2MHaORnJIXPXvUcXiGw+1WtrcXdslzdlzCkc4cMqsVHJwcnjjHXI5xQBuUVWtZ/PiZikihZGT5ivODjPyk8cfX1GanGR16+goAWlqvDcRTmUQyBzC2xwpztbAOD+dSBgckEkDnOaAH4HoKMDGMDFHrS0AJQVBBBAIPUetLRQBD9mt/NEggj8wchtgyDz3/AOBN+Z9al9aKWgArhfiX/wAf3g//ALDtv/Ou6rhviUD9t8IHHA163H6mgDuaKQdKWgAqpdXsdtcRxSJcHzAcNHA7qMepUED8at0UAZM2paTdRLbXk9v5d2CiwXQC+aMcjY3X6YpdN07Q7ZZH0qw0+JJ1w7W0KKJAOxKjnrWoQD1FU5NK06WaKWSwtmliBEbmFdyA8HBxxkGgAttM0+2t4IbewtoYoH8yFEhVRGxB+YADAPzMMj1PrT30+xkguIXs7dorli06GJSspwASwxycADn0FVxpVsjxNC1xF5SsFVLmRV+YHJK7sE+5Bx2pEsLmNo2j1W82orKY5FjYMTnBJ27sjI7445BoAvW1tBaW6QWsEcEMYwkcaBVUewHAqjZ+HtDsbpLmy0bT7a4TO2WG1RGXIwcEDI4JFCx6sjoPtlrIqqwZWt2VnbnBDByAOVz8p6E9wACfVl2iWyt3GxixhuTnd82FAZRwQF5z1J4GMkA0qWsxdRnwDPpt7CNjOxwj7cZ+XCMTnAB4z94d+hHq1q2C5mh3RmX9/BJHhQTnO4DHQ9T0wehFAGnRVG21OwuwjWt9bzh03qYplbcvqMHpwR+dWwD0z7d6AH0Ug+uaWgAooooAKKKKACiiigBKWimOQMlm2gDJJ7fjQA+kAAGAMCmg9OSQenPWnD86ACggHqKWigBKjmt4LhNk8Mcqf3XQMP1qWigCjJpdibJbRbdIbZGLqkBMQUkkkjaRjJJ/M0yz0yGwkZ4Zrsgg58+7lmAzyT87HFaFGB6UAY8em6jDxHrMkpOA32q1ickenyBPerV4+pqwawitJxtHyTTNFz/vBW4/Cr2BxwOOlFAFA3N9HYNLPp5kuQQDBaTBt30Z9g/PH9KfY3jXQYyWk9swxlZgo/VSQfzq5S0AIOlef/Fj/mV/+wzD/WvQK8/+LH/Mr/8AYZh/rQB6AKKBRQAtcL8Zf+Sb33/XWL/0MV3VcL8Zf+Sb33/XWL/0MUAdrb/8e0X+4P5VLUVv/wAe0X+4P5VLQAUUU0/eHOKAHUVxlvaNc+N5HsL3UPsmmljehr2Z0mmZciJULFcKrbiAOCVA74m07xBqVw2i3U0dt9i1psQRJu82D920gLNnD8Lg4C4z/FjkA62iuL0TxNqtzD4eutShtEg1eJhth3bo3EbOGyeCrKv3cZBI5bs/w14mvtXu7V2s5fsV5CZEP2SdPI4BG6VgEkByeVxjj72cgA7GiuP8W3c2n3Ntfedf2lvFPEZrwyr9mjQuAyNHncc4wGK8F87gOnXL35zz60AOpKWigApKWigApKWigBkkccqlZEV1PUMMiq0mm2T2n2QW0aQA5CRjYB7jbjFXKKAM6z0m3sZ3kt5LwkrjZJeSyqPorsQKhGnahGxaHXLiRS2Qs8MTqvPQbVU/mTWtQQD1FAFG6Opqc2P2WQBR8kxZOfqAcDp2PekSfUUsZJbqwR7lDxBaT794x2Zwgz14OOnXmr9GB6daAM611KSaVY59NvbRmzgzKpA78sjMO1Y+q3tnDq4v4NYt9Nukj+zzi+hPlSIGyOrJyCThgSOTwe3U4HpS0AYunWkn9sNqU1zBOZ7KGJfKGASrOzMBk8HeuOTwOprN0vTL+xuvDpntvOEGnSW1w8boRFK5iZmOSCQTG33cmt/UNL07UQg1GwtrsIcp58KybfpkcUkOl2dvbyQW0bQRS8ERMyY+hB4/CgDkY7X7MNM/tmxupbU20kghit3nCXEkm9i4jBwcHg9Ad3NOvb2T/hI7eG2E1vKl9FBta/mLtGACxMOCm0rkZz15znp0sOlvBOjx6nf+VGeYXZJFf6llLfkwp1xFq7XBa1v7RIs58qa1Zm+m5ZBj64NAFDw9N5ehahfygYa7u5TkdVWR1X/x1BWLpNkmj6P4Te1Bhv7jyY5kRiBcbo8yll/iIGWz1yPTg9TdreiySFLG1uvMUrPE0uxSp6gAqQc88HHXrVTR7O2tZpZ10E2EqJtWQeW+9eu1CrEgcdMAHigCppXig6jc2ZFuEtbwMYmDvvUAFlZgVAClVJznrgc9al03xP8AbILOVtNu4RfWpubbcYz5oADFRhjgkHIzjI64PFUhLBa2N3aad/accjQPFa2k9rKsKOw+VVcoABuwB8+APSpLOx0+1kisLjX0lurO0NtDA0satArKOSBgk4CgE9vck0AFv4qaaw8P3bwm3TU3zKjozMF8lpPkA5PO3nnjPHp0tjdQ3lnHcW0iywyDKup61k6fpVzBNpLzTwtHYWskGIVK7yfLCsBz0VGyM/xe1XNAs5LDR4befb5wLPIEyVDMxZsZ7ZY0AaVFFFABXEfEn/j58I/9h+2/ma7euI+JP/Hx4S/7D9t/M0AdsO/1paQdPxpaACiiigApKhupWhieRInmZELCKMjc/sMkDPQc469aydI8QJqV3fWslld2UliFM32kx4G4EgbkduwyR2yD3oA3aTaPQVnw6tp1xBFPb6jbSwyyGNJEmUq7AE7Qc8nAPHXg8VIuoWTWP20XsDWQTf8AaBKvlhR33ZxigC7SVBBcRXVslxbTJJDIu5HjYOrj2I6/hVC31mKXV/7NkgubecxNLGZkAWVFIDMpB4wWAwwB9qANekKg9QKRM7eetOoAguLa2uQVuYIpQVKkSIGyD1HPY1TOjabHGEgtVtlEZhUWrGHapPQbCMdTyOnNadFAGX/ZuyPZb6hfQ7Y/LUifzCPfMgbLe5zTmttRSMrDqIdvKKhp7cMS3ZjtKfiBj8K0cD0HpRtHoKAM1m1ZAQEtLgiPg+Y8O5+/ZsD8yP1pXvL6PIl0yViI9xaCZGXPHyjcVPHrgcVokA9RRgelAGb/AGrCpImhvI2WISODbSEAHHGVBBbJHAJPX3oGsaf5hjbULdJVQSNG8oDKpwAxUnIGWXqOrAd60qR1V1KuoZT1BGaAGJJG6h0kDKeQVbPHXtT0zt5zn3qjNo+lyySSPp9t5skYjaVYgHKAggbgM4G1SPoPSmHSoA7tFLdxM6rGdl1IFUDGNqk7R06gZ7d6ANOsHxmA3hq4hYZFzJDbYx/z0lVP/Zqsiyu18xo9WuDvCoglWNlQjHIwoJJwc5J5PGKSe31FhIJHsbpRsaGOS3ZdrqQck7mycjIIAxx1xQBylvqa6VqC2FyzlPD9reSuinJeJBGYjz1Plv1P8Sn3rdudcvNMcjVYIVb7BNejypGITytu9CSOfvjDex4GOZ7i1kae8nutGtbh5LcQM0c255YyfmQhlUAck4LGqFxpVitlfwXGn6oFmtfsjTNK1w/ltwVTLOR78enXHABd/t+eNbVZ9Iuxc3e9oLaJ43cqoU5Y7gq/eA649+RT9M8RWOpPbrALlGuVYxGaJkUlfvKCRgke2eh9DTbm501dUj1G7u2thZQyQsLhTEmJSjZy2P8Ann/Oq1lpm2DTILTVIJZ9MtnjZ1QFmlZFCuVB+UdTj3FAGidcsjb3csUpZrWFpmRwUJQZ5G4DIOD83Sn3GqR2ujRahdrIiuIgUj+c7nZVCjA5+ZgP8K5iXw/q9xY6ms/lmefS2tEP2x5t0j53t8wG0cDAAx9Og3fE6MbSyVbeWWJL2GSQQxl2VUO8HA5+8o6UAXNP1W1v3ljgkkE0J/eQyxNHIuehKMAcHselaC98ZxXF6zPqJe+1exgktIhFb2yyTqYyV87MkhGCVVUY4JHGWPaoo7+8g0seRq9qsdzqUEFvLHem88sEgupd1GSy9Aem7g9BQB3P86bkZ4bp174riru71eRJdPttU/fQ6xDbx3MsWWlUIkzKwQoDj5gcYyOOOamfUr+y1fV70wwz29s9tays0hQklVY7EwQP9dnrz07ZoA7FelLTU+7znPfNOoAK8++LH/Mr/wDYZh/rXoNeffFj/mV/+wzD/WgD0AUUCigBa4X4y/8AJN77/rrF/wChiu6rhfjL/wAk3vv+usX/AKGKAO0gJ+yxH/YH8qrT3FwFdYxtkIO1tu4KfdeM/nVq3/49ov8AcH8qeVUnnGfpQBzy3GvQghp7C6IHTyZIPzIZ/wCQp6atqqjNxpMcjD+G0vFcn6b1T9SK3DDGwwVBpjWsTE5WgDkbKHSLG7a9/sfWrSV5mmZFlllQu2SSY4pHU5Psas2l14VsZ2vRKlizfd+2GSJI89diS4CZzyFAzXQtZIemRTfsbDO2QgketAGfptroT2+mx6c0EsenH/Q/KnL+XlGXsxz8pYc+/tVux0ixsLiSe0jeIycFRM5jX/djyVXr2AqreaBZXY/0uxtLgf8ATaBXx+Y9hVdvD1soHlpNbgdPs11LCP8Axxh/KgDSudHsLu6iuLmDe8ZDBGZvLDDBDbc7SwwMHGRWiOnNc4dNvVcC31bUYgOqBopQfrvjY/rS7tcj2+VqVs6jqs1kSfzV1/lQB0dFc8NR1qNgDZ2Eqd2W7dG/75MZ/nUn9u3KybZdFvQv9+N4XH6Pu/8AHaAN2isVfEun7isq3sBxnM1lMqj/AIFt2/rUtv4g0a4k8uDV7GSTPKLOuR+GaANWio1dXwUIYY7HP9adn3zQA6ik9aWgAooooAKKKKACiiigBKKWigBKMDGMcelLRQAmB6CilooASo57eC5TZcQxzJ02yIGH61LRQBQk0qwazSzW1SO3RiyRQfugpJJJG3GDkn8SabZ6XDYyMbeW8wwxia6lmA+gdjjp9K0aSgDMs7K9tpVMmsXF3EOqTxRZ/NFWtNe/OaMDIOORS0AFcN8TM+d4Tx/0Hrb+tdzXDfE3/W+E/wDsPW/9aAO5pCcdSAKWo5VLKQpINAClh/e56f5/KlBIyOM5Pesu901byMRXUccyA7grgcH1HvVH+wljffDLfxEf3L6baP8AgJYr+lAGxqUtzFYXEmnwC5uliYxQlgu9gOBuPA5/rXI2Ok6lceFZNPm06eC+aaK6uZ7mWLF7IJFaQfu2bAIXaMgAAgdBWstpqUTZTWb5weiSxwuo/JAf1pyz69Fndc6dOB0VrZ4vwzvb+VAGLc+H7zUvEVlq82lrBAbu3aS1kaIsqxJOPMOCVPzSpgAk8fgC68O6kWvGt1khSPWjfQxwNFvljMAVtgcFAd5Y/MBk5OQSDW4mrauu7z9Kt3x0+zXu5j+Dov8AOpE8QbQTcaTqMAHHEaTf+imY/pQA7w1Ytp+lFWFysk0rTOtw0W8M3JGIhs/L3Pes6y0y+j8WDUIoJLW1EciXH2q5a4MxOGTyssTGoJbI4B4G3oRojxNpHl7prk2qAcm6heAD8XAq3aatpt8A1lf2t1nkeTOrfyNAF1e/1p1MDAkDPv1pfT3560AOopBS0AFFFFABRRRQAUUUUAJgelGB6ClooASjA9KWigBMD0FGB6ClooASqt3p9jeRvHeWVvPG+N6yxK4bGeoI+v51booAzbjSLGWOVfLkiEpBc287wnI/2kIIpJtPkZZfJ1K8tWdwxKMj7fYb1YAc4/CtOigDMmh1Mbza30AJkBUT2pfavOR8rqeeOT054ORijqun3l+9sXtLK4ht7kyxwvMUWRDHIh3jYwOA446E85GMHoKKAOfuLW3+wrY/8I/KtrDMBEloY4wvX51w6lffHPzemTRONLeO6ilgvIxNexSyuIJQHlQqVIbBG390oz0/OugwPSgADoBQBnrqunbpEGoW+6NzGw81QVYfw4z146VdVgeQ2R65yP8AP+FK8aOMOisPQjNRW9jZ2rzPa2kELztulaOMKXPq2Op+tAE69K8/+LH/ADK//YZh/rXoNeffFj/mV/8AsMw/1oA9AFFAooAWuF+Mv/JN77/rrF/6GK7quF+Mv/JN77/rrF/6GKAO1t/+PaL/AHB/Kpait/8Aj2i/3B/KpaACkpaKACiiigBMD0paKKAEIz1APsaaUUnkZ/Cn0UAQtCjZ+U0xrSM9qs0lAFQ2a5ypZfxqKfThKuJQsi+jruH5GtGigDm/+EZ05CTFp1tA7HloEER6Y6rg96QaO8IJt7zUoS3cXskmPwkLD9K6WkNAHOCHV4QfL1iaQjobq3jcD/vgJn86VbvXovvHTrpu3yvbg/jmSuhIU/e/WmmNG6qDQBhrrOpRoDcaPvb0tbpGz/388upB4iiVA11p+pQHqVW1acj6+VvrVNtGeduD9ajayjPA4Ge9AFD/AISbRUAa41KG23H5RckwH8nxWjb3lrdKGtrmKdT3jkDZ+mOtRfYyOkhBPvWfdeHbC6YPc6fZzv8A3pbdGI/HGaANwEd2/WlHSucOgQhlMP2qAryFgvJo1/FVbH6UfYL+NwYdZ1FFU/dbypAf++kz+tAHSUVzm/XYW+W/tZEH8Etkwb8WEmP/AB2nLqmsqwEmn2bp6x3jBvyaPH/j1AHQ0VhJr0/mYn0a/iUD7ymKQH8Fcn9KcniXTSSJDdQbepuLSaMD/gTKBQBt0VmWeu6ReuUs9UtLh84xFOrHI7YFaG4HlW4IyKAH0U3OM8j86UUALRRRQAUUUUAFcP8AEzG/woxxxr9t/wCzV3FcR8S/+ZV/7GC1/wDZqAO2paQY7UtABSGlpKAEKg/eGfrSGNDxgfhTsD0ooAiNvE38PT2qNrSMn/61WqKAKZtCOVcg47E8VTvdFtrvi8tba5U9RNCrj9RWxSUAc4fDlmiBLe3aBAOFtJpIAP8Av2VoOmXUaYttU1GEDv5qy5/GRXzXSUhGaAOdI1yMDyNUifB5NzY7yf8Avh1x+VL9v1yPA+y2E4H3j9okiP5bG/nXQFVPUD6U0xIeCox/KgDG/tu8SRRLol4wPV4JYnUfgXDY/ClTxHZLhZ4r6E92ksZdo/4EAV/WtM2kRH3Tn04prWa5+ViD9aAKkPiLRZJBEurWfmkcRtOqsf8AgJOa0Y5EkTdG4dSOqnP8qqSaeJFKvh1PVWGQfzrNfwzpvnGRdMtFmPJkjgVG/wC+lwaAOgzjPP50ornF0TyWJt7nUYW9FvpWA/BywoW21aHJj1q7c9vtEETge3yqv+NAHSUVzqz69HnM2n3J548mWDH1O5/6U5NX1VE3XGkRv7Wt4Hz/AN9hMfjQB0FFYY8QBULXOmanBgdBb+fj/v0WNOHibRlQNNfC1UjrdK0H/oYFAG1RVO01CzvAHtLuC4Vhx5UgYH8qtZ5PqOuKAHUU3HXr+dL60ALRRRQAUUUUAFFFFABRRRQAV598WP8AmV/+wzD/AFr0GvPvix/zK/8A2GYf60AegCigUUALXC/GX/km99/11i/9DFd1XC/GX/km99/11i/9DFAHa2//AB7Rf7g/lUtRW/8Ax7Rf7g/lUtABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABSUtFABRRRQAlLRRQAUlLRQAhAIwRkUEZ4wOaWigBhRcfdH4CmNDG2SVzU1FAFZrOI9jj60w2Sj7hKntirdLQBl3WlR3K7bhI5lI+7Iob+dZ48NafEMW9lBbk8j7P+5yT7pg10dFAHNro00MeLS/1SEdm+1NMR/393g/lS+VrUCEQ6w0jDvd2iyD8dmw10RxnOBmjAz0+lAHPC912JASun3Teu6S3B/STFTLq2ohgJdFmkYnBW1uI2x6n52T/AD+uyYo25Kj+VIIY1PCigB6ElcnrTqQdKWgAriPiX/zKv/YwWv8A7NXb1w3xQ4i8MHoRr1tjn/eoA7ilpKWgAooooAKKKKACiiigAooooAKKKKACiiigBMD0opaKAEopaKAEP/6uKQqp6gZPrS0UAMMaN/CPbjpTGt4yc7eampaAKpsoz7Ypv2Mg/K5BPXmrlFAGJeaBZXePtljaXHP/AC2gV/buKrHw7bKFWJJoAOgtbqSAe33GHFdHRQBzh029jwLfVtSh2n7oaOXPt86MfxzSk69GcRajbSAdVnsyW/NXX+VdEQPQYPWmlV7r+GKAMEajrcbAGysJkHVlu5EJ/wCAmM/zqT+3blHAn0S9CjrJHLC6/kJNx/Ktgwxt1WmG1i/un9KAM1fEmn7tkyX0Jx1lsplX/vrbt/WpbfxDo1zIY4NXsXkzgoJ1z+WasmzXI2nB9zUU+nrMpEwSRcdHG4frQBdVlcAqwYYzwf8A69Oz755rnv8AhGNNQs0Wn20Dt1eCMRMe3VcGkXRmh/49r3UYie4vZJAPwkLAflQB0Y9xS1kaZa3tvKDPqlzdR45SaOL8MFFWtVenXJoAdXn3xY/5lf8A7DMP9a9Brz74sf8AMr/9hmH+tAHoAooFFAC1wvxl/wCSb33/AF1i/wDQxXdVwvxl/wCSb33/AF1i/wDQxQB2tv8A8e0X+4P5VLUVv/x7Rf7g/lUtABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFACUtFFABRRRQAVw3xQ/1Phn0/t62/wDZq7muG+KH+o8Mn/qPW3P4PQB3FLRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAJS0UUAFFFFABSHNLSUAH64paKKACvPvix/wAyv/2GYf616DXn3xY/5lf/ALDMP9aAPQBRQKKAFrhfjL/yTe+/66xf+hiu6rhfjL/yTe+/66xf+higDtbf/j2i/wBwfyqWorf/AI9ov9wfyqWgCKaVYlaSRgiINzMxwABnJJ+lQQXtrcWYu7e5iltiu4SpIGQgdTuzjsao+MhnwXrvA506f/0W3auaAnXVY/D/AJEj2WriK8ZycokaoPPTB7MUQEd/OY9qAOvOqWI00ah9vtvsZUt9oMyiLGcfezj/APVVqSWOKJ5ZJFSNBuZnbAUAZyST04NeY6smmD4SXR1Jrbz1kvhaCYjJk8+T7gPVgOhAyOeldn4nniuvAetXFpLHPBLptwyyRMGVh5bYwQcGgDSsdUsNSRjp19b3ipwWgmWQD8VPuPzFXl7/AFrzSz07UIfAi63O0NnNZ+GngtRas3mEGJW3u5A2sCowo6HJ3HtpTI+nLYLq2uX7aXdxyT3V5Lc+WRLiIIgeML5a43EAEZOc5zyAddf39vYtCLiUq08gjiRUZ2duTgBQT0BJ44AJOMVXttasLp7JLe43m+jaW2wrYkRSMnp23L9c1x3kXN5e+EZdTuLxpRqN0I3MjRs8QWVo2IXHJVV7cgkHqRT/AA9cz3M/gqe4meed9Jui7SOWZz+56k8k0Aegjvz3pa4Dwdd6rdanC15ewi5EJ/tC1+3vK4fHy/uTGFiIIPQ4Iz944Nd6hJHPUGgB1FFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFcP8UMfZ/DJP/Qftf5PXcVw/xQ/49vDX/Yftf5PQB24paQUtABRRRQA1iPXke/5UwkjqxA4rnfF+n3F3cWVzCbW4jtFkaXT7uQpHODjDZGQrLtOCVP3j061l619n1bQ/Desx/alVr2waGGSVgEDSoSWGfmOCBls+oxnJAO4HB+bp9TSqc+5+tcZ8WCy/DPVtjbWxECQ2ODKnH4iqdxFqehaXqN/ptumixSyWcNtZNtkWM+cFd2RSVXcHxhTkgZyD0APQB71XubmCCaCKaZI3nbZErPgucE4UdzxXLm41aK+fTb3XRFJaWy3bXa20aC43SSfIVYkBVVUHy8nPUZ5paXJfal4x8PajdXEkUs2hvNLbLGqqGLRbl5BYAlgev8I98gHZ299aXEnl293DMxQSAJKGJUk4bAPQkEZ9qsrnBz615j4e1Se2tJtUWFJLiLwvBMsccYjQlXnIAVRgDI7D8q6jwxd6xcXUn21Z3s3iEqSz/ZwQ5P3V8lzlMdN3PB5NAHUUU1M7eTmnUAFFFFABRRRQAUUUhz+FAC0U3J5x+ppefQfnQAtFJz6D86Q5z2FADqKQenp70tABRRRQAUUUUAFFFFABRRRQAUUUUAFeffFj/mV/+wzD/WvQa8++LH/Mr/8AYZh/rQB6AKKBRQAtcL8Zf+Sb33/XWL/0MV3VcL8Zf+Sb33/XWL/0MUAdrb/8e0X+4P5U9jg9cfU0y3/49ov9wfypJ4I5wBIufTkjHGDz+NAEi9KXAznHPrVU2aBiVkmViO07HGc9icdz27Uv2eZSSt5Nx2ZVI/ln9aALNLVXy7vJ/fxEe8RB/Pd/SobqXUo7aVre3gnlVCVQSlNzY4HT+ooAv4GQcciivPv+Ek+IAGf+EKj/APA1P8ahPirx6uA3gnOSBxcg+g9ff/OCaAPR6MDGMcV5svjDxuWUP4Rt0LYGJL5YzkkDufUgfUgdanXxJ4/niBt/CNm24AhhqUTA8A9m9x+YoA9DpK87Gt/E3r/wiNkf+3xP/jlH9t/E3t4Rsv8AwMT/AOOUAei0V54ms/Exmw3hXTox/ea7XH6SVJJqHxMKERaHpCt6tcFv03CgDv6K86/tD4qf9AbQ/wDvtv8A45SrffFRmAOk6EnuXb/45QB6JRXn+PijKuM+H4PfMh/xpjaX8UJmO/xDpFqucgww7z9PmjoA9Dpp645rgD4T8a3IP2nx46D/AKY2Sj+RWgfDi5mH/Ex8Za9c/wB4JcFM/gScUAd5LNHCu+WRY19WYD+dUI9e0ee9js7fVbOa6fO2GO4VnOBk4UHJ4B/KuTg+EnhhWLXIvrx+7XFycn8VAre0fwX4b0O7S50zSo4Z487Jdzuy5GDgsSemR+NAHQjpjOcUtVr27trKHzryeO3h3BfMd9oBbgfjk1KGXftDAtjON3P1xQBJRSCloAKKKKACiiigAooooAKKKKACiiigArhfipxY+HDn/mO238nruq4X4q/8ePh3/sO238noA7qiimn8R7igB1FZ93fT29z5a6ZeTRYB86Hyyo9QQWDfkMc/kv8AaUIsftUi3EMYOCHhbcPwx096AJryxs74Ri9tILkROJIxNGH2MOjDPQ+9Q3+jaVqbo+paZZ3jRjCG4t0kKj0GQcU211jTbq5+z299C9xjd5IceYR67Tz+lXIZ45VLRSLIB1KsDQAyaztbi0FrPbQy2w24heMMnykEcHjggY+lPnt4LmLyriGOWPIbZIoYZBBBwfQgH6ingnocfTNVNR1Ow0uIS6lfQWcbcK08ioCfbPWgCS70+yvjEb2zguDC++PzolfY394ZHB96kNvCblbgwxmdVKLJtG4KSCQD1wSAcewrjL74o+FLVtkN5NfTA4EVrAzFj7E4B/Oqw8beJtRJGheCb5kI+WW/kEAPvggA9ujUAdxb2FnalTbWkEJWIQgxxhcIMkLx/CMnA6cmm2mnWNi8zWVnb25mbfL5MSoXJ6lsDk+9cT9l+JmpANNqGk6PGeogj81x/wB9ZH6ikPw4ur/P/CReLdXv1Y5Mcb+VGf8AgOWH8qAOwv8AW9K07/j/ANUs7XP3RNOqZP0JFc3ffE/whZ7gNVNw6/wQQu+fxxj9alsPhn4QsyGGkJM47zyvJ+hOP0ro9P0nTdNXGn6da2nb9xCqZ/IUAcUfiU9ygOkeE9dvNw+UmDYp98jdSt4j+IF4o+weDYbUkdbu8UgfUZU16FRQB540PxSuxkXmg2XqFDMR+atTl8NeP7hcXfjeOI9CILJOPxwtegUtAHnn/CBeIZUIuPH+qsc7gYVMX8npV+HN3JtM/jXX5CO4uWHH4k16FSUAefn4YW7El/E/iBmz1N2Of0pP+FX2n/Qza/8A+BY/+Jr0GloA89/4Vfaf9DNr/wD4Fj/4mrOnfDq2sNRt7xdf1qY28gfy5boMjY5wRt5FdzSUAA7/AFpaSloAKKKKACiiigAooooAKKKKACiiigArz74sf8yv/wBhmH+teg1598WP+ZX/AOwzD/WgD0AUUCigBa4X4y/8k3vv+usX/oYruq4X4y/8k3vv+usX/oYoA7W3/wCPaL/cH8qkwPSo7f8A49ov9wfyqWgBMDGMcelFLRQAUlLRQAUUUUAJgelQva20jAvBExBzlkBI5B/mqn/gI9KnooApDT7SMKsUCQqpBCx/IBjbjpx0QD6DHQ0kdkIgixXFyAoXh5i5IG0clsk5Cc9/mbuc1dooApxwXEeN19M+CMmRU5xtHYDrtP8A32fbBGt8pXfcQSdM4iKf3c/xHvv/ADUdubmB6dKMD0FAFRJL0D97BFjv5cxPpnqo7lvyFKLmYEeZZzKOMkMpA6Z75457dj9DaAA6CloAqC9j43xzp0+9E2BnHU9KFv7Q4AuoxwOC4Bq3SEAjBGRQAxZY5AdkisP9k0/PPp7VC9rbPzJBE2O5QcVGbGA8KJI+2I5XUdPY/wCeKALQwecfpS1Ua3JDeXdTR9eQ4ODz/eB9f0HakaK62nyrsBu3mR7gOuOAVPUjv2x70AY/i+0h1JtI0u6Tfb3t4UlXH8Kwyt/MLj3rnrDWb1Lm+mkKNqFnDZ6Y7yKdgnaeSNpCPTBR8Z5BHIruGF6obYIJSAdu/cmT82Aevqoz9T7VBPCZYrhJ9Mt5opiQ4UhjKAGALBlAJwEHJPXrgZIBkXetajpkmoWziK8mg+yGBthj3NPKY9jYJ5BGcjs3TjJlvNd1CwkngksIp5bSz+13BS5CqqbnGBuGSSEJHAGQQSODVn7FYQ27Rf2RNFGk4uCEXcXkQkq52kk/6tSM+qAjsI9Qt9Pul1QTNdRNf2v2WaQROCEXzgNuVxkfvDnnPyn+JcgE9lrguppYpLG6tnFuLiNZNrF0JIGArEhuPunnn8mXuuLHp9w9sjrdQzQxGK4RgQZHVV+oO7gg+3Yiq+pWVreS3n2bVUt5pbZLdVVx8gR5Cc8g/NtYHBHCHnjiNPDkoknJltyJr+C5ZY4zGqpFtIA5PO5etAGrq+qf2e1nHHbSXU93MYo4omVWJEbuT8xAxhPXuKfpmpRajHOY1lhmt38uaCYDfE2A2GwSOhByCRz161R1xLxdW0q7tdPmvorXzS6QvGGVmUKpw7KCMFs85HFYWp2GqsrahPF5CX18r3MHlNc+VCsJVFdIyC43hS204HHVQTQB3S9D9e5pHOMep4xnrXCtMmnLpFpe6zLBaTSXM29Q9sqoMKsZ3HKoGfjJHO0A9KLF7rULvw6JNTu0Hn3k0Eny5mhRikbNuXnKOvPcHPXmgDuo3Vt21gxU4bBzg0+uL0q81CC4S4EkBtdQ1i4gMXlESYBkUNu3Y/5ZDjb0rsl6HnJzQA6iiigArh/iku7T9AP93XLY/wDoQ/rXcVxPxQ/5Buhdf+Q3bf8As1AHa+tLRRQAlLRRQAVm3GgaNczCa40mxlmDbhI9shYH1yRnNaVFAGffaXa3skZma6Qxj5fs93LBx7hGGaztV8Kabq1glrfGefy33xSysJXjJ64EgII4/iB/OuhpKAMPSdF/sgotnLBHbAHdGtnHGTkeqbQDnB5FWJjraSSNbrYzoSSiuzwkDtk4bnp27+3OpRgelAGfNdX0VvCy2BnkK/vVhmX5DgcKX27ueOQO3Si21CaS2nluNNu7PyhkxyhGZv8Ad8tmzWhRQBlw63ZzziIC6idm2AXFpLCCfZmUCpjq+mrdyWp1C0+0xn54fOUOvTqM8cVepk0MU6bZokkX0dQR+tAArhlBRw4PQjHNPHIzgj61Um02xmt0t5LSExRnKIFACfTHSo7XTLW0eR7drlTINpD3MjKPorNgH3AzQBoUVkDS7mOdJI9b1ERqeYW8p1YehJjLfkRUt5DqzXG6wv7OKIYBjntGkP8A30JF/lQBpUVnSPqcdiNsVrcXYPzBpmhQj1B2sfwx+NLaXF/JL5d3YGEbf9YkyuoPpzg/+O0AaFFZD60sWTcWGoxKDj5bVpT+Ue41PeatY2JUX13HbhlDZlOwY56k4x+PpQBoVR1XUItMsZLuYO6pgBIxlndiFVQPVmIA7c8kU601Czv7f7RY3kFzCDtMkModM+mR9RVTX7Oe/wBPi+xlDPb3EVxEJWwjlHBwSASMjIzg4ODQBNaXlzIzLeWUloFCkO0qMrZ/h4Ocg+2PepZLyCIO8kmyGKPzXmbPlgZOfm6cYPfisfVbe61uyt7W80sxW5u4mnjeRGyifOc4OMZVR1zz0rM17Towmst9jZbXFlbqkcRAEaylnZQOwErE49DQB163ETTiESDzWTdtz27H0qf1ritSvrizu777FdyQ2yQWMCSSsXEPmzOJJMPnLBSpy2egzxWhPeG3SK0tdXurueUvKjIkUjCNCobJ+VcAsOvzc8UAdG7YYY6n/GlXpjuPWuU0K7l1jVtHv7jb5o0TzpFThczsh4z2/dHipT9vv9Z1s2mqz2gsGjiiTajRFvLEh3AqSR86g4IOBwaAOoormbbxXbPo8F9LDPt+xRXt15S7hbxupIJ5yejcLk4ByKv3Gv6Zb3j2s10fMj2CTCMVQN90swGFBIxkkDrQBr0Vgz+J9Mhl1SFblHuNMhaeaLeA20KScDrgeuOMita2m86FX6NgEqT0J7GgCxRSL07/AI0tABXn3xY/5lf/ALDMP9a9Brz74sf8yv8A9hmH+tAHoAooFFAC1wvxl/5Jvff9dYv/AEMV3VcL8Zf+Sb33/XWL/wBDFAHa2/8Ax7Rf7g/lUN/ex2MYlmjuHQnGIIJJiP8AgKAmprf/AI9ov9wfyqSgChZ6pa3at5RmQou5lnheEgepDgGktNY02+C/Y9StLjPQxTq4P5GtGoJrW2nIae3ikIIILoGwaAJBzxnPsKcDkdaoXmk2N5N51xbqZiAPNBKNj03DB70DTY0sPssNxdxJktv+0Ozj/gTE/lQBoUVm2lhcWlwZJNWvbqMjHlzrFtX3BVAfzNRGHXllZl1Cwkjzwj2Tq3/fQkx0/wBmgDXorPu5NUSRBZ2drPEUG9pLp423c8BQhGOnJIpVvLkWcks9hMkyNxDG6Ozj1XnH546dKAL9FZkGqpNcpA9nfQu+fv277RgZ5YZUd+pGeg54plx4h0a1d0u9TtrZlO0ieQRDPTgtigDWoqBJ4pVjeKWN0cZjYPkMPUetS5AzyePfpQA6ikH40tABRRRQAUlLRQAUUU0/jj2oAXA9BRgelZV3rUFvevaxwXV1PCgeVLeIv5anO0nOOTg/KMsfSr4mT7N5xJCFN2SCCB7jqKAJsDGMDHpS1Ck0cqCRHyjLkHOOKfE6yRK6MGRgGVgc5B70AK6JIpV0VgQQQwzkHqKrtp9mzlvskGWzuYIATndnn/gb/wDfR9ask/5xR169R7UAVHsYmGC0y5BHyTuBzkHjOP4j+npSvbOWLJdTr1xgK3XPqD6/y7Zq1RQBmS2Mj6lHeedEZoo3iQvGSAjEMwwGA5KJzj+H3p9xayXDRNcWlldNDJ5kZlXGxx0ZSQcEev61oEA9RS0AZTW6L9mDaaMW0hkiETKBG5BBbqvZ2/M1dhmZztaGWMj+8B/Q1YpKAAemelLSUtABXEfFHH9maGT0GtWx/wDQq7euG+K3/IH0X/sM2/8A7NQB3FLRSGgBaKpTQ3jTO8F7sBTaqPDuUN2bjBP0yKiC6tGufNtJyI8Y8t4tz/XLYX8z70AaVFZom1NcmSyhOEB/dXRJLZ6YZAMe9IL+4Vis2mXiBYvM3gxsCeMoArFs8+mPegDTorLGsWwdkkW6jKxCQl7WRVCnH8RXaW5HAOfal/tnTTKYv7RtlkCCQxtKAwQ4AbBwcZYD6nFAGnRUCSo6gpIGU4wwORz0qRSMYOQfQ9aAH0UgpaACiiigAooooATA54HPWloooAKSlooATA9OlLRRQBDPbW9xE0NxBFLG/LJIgYNj1Bqna6JpVhMstjp1tauOhgiWPOQf7uM9T+npWlSYGc45oAym0aHznmju9QjkkZnJW7kYZJzgKxKgewAFTz2t04iW31CWIxLg7kRhJ/vcZ/Iir2BjGOPSigDPhhvxBOk91bXJZcR4gKAf73zNn8AO9Zx025uJoIL/AELR5bSLKh1lO6NSOdqGLGDxkbu1dCQD1FGB6CgDB/5B2oF7Xw9eSYhjtxNBJCF8tNxUbWkBABdsYGfwxVG/0+0RZ7i5udaht9Tk3XNnBB5isdiodxjjZ0G1QOGA4rraTA9BQBx0ul6Xqmoyz2n9myL5KJLBfWHmGMKCoK7ipUYJBB9O3OaywXesvr9tZyWB0/U7kRNI0zB0jEUcbFAAQ+dpwcrg+vSu6qnNpWmzyK8+n2sjqwZWeBSQQcg5I65xQBgX+nX08Hia1+yu66m6+VKjLgo0UcRUgnII2sTxjkc9hc0nTUsfEuoNaWkdvZNa26oIUCI0gaUscDjOCnPsPSr95pNleSmSZZlkYAF4biSJvzRgaX+zwlgLS3vLuEKflmEplkH1aTdn8aAL69PbrS1WsLeW1t/LnvJrtsk+ZMqBvp8iqP0qzQAV598WP+ZX/wCwzD/WvQa8++LH/Mr/APYZh/rQB6AKKBRQAtcL8Zf+Sb33/XWL/wBDFd1XC/GX/km99/11i/8AQxQB2tv/AMe0X+4P5VLUVv8A8e0X+4P5VLQAUUUUAJgelFLWZqmmPfSrJHqd/Ysi4zauoB6nkMrA/lQBp0Vgf2RrUX/Hv4nuHPpdWkMn/oAQ0CDxVEf+P/SbkDs1pJCT+Ikb+VAG9RWALvxREQJdH06Ze5g1FwfyaMfzobXNTjP7/wAL6lj+9DNbyD8vMB/SgDforAPii1iz9q0/V4MDJLabM4H4oGH60v8Awl/h7dtl1aC3LcAXRMP/AKGBQBqX2nWGoIE1CytrpFHAniVwPXqKih0qxtraW3tLdbWKYFWFuTF7ZBUjafcc0Wus6ZegfY9Ss5s9PLnR8/kavA5GAQffNAGbBpMdvIjQXl+qoQSkl08ob2YuWP6ilntdQaZ5LbVHQNyI5YFdF9uNrH860PT+n8qoLq1t/bJ0uR2hutu6NJRt85cZJjJ+9jvjke1AD5BqS2qCCS1luR/rGkRkRvoATj8zSWcmqMZRf2drGqj92be6aQt9dyLj8zV5OnXNLQBkJql4ZvLn0S/iGceaGhZPr8shbH1FTXer2tncmG4W7BADb1tJXjx/vqpX8M1o0tAFH+1LD7GLp7yGOFjgSSuEGfTnH5VPHPFMN0EqSqRkFGB4/DqKlZVcYZQw9CM1Wj06whujcQ2VvHcMNplSEBiDjI3AZ7D8hQBiRPc6PrGrmSwurqK+uFuIZIArA4hRCjZI2kGPjPHzDnrVHULS5Sw8Uamn2tL53kSyIkddn7lI1ZVBx94Zzj0+tbz6Bp7MpQXMGCDi3vJoh+SsAfpU17p890ymHUryzKrj9x5ZB69Q6tQBy99Imnar4r1GO6kN1a6ehWF5NwYJHIwO09st9M5rU0+fUrjUrm0tp7e3t9NeK3eMwZaRjGjsRggKNrhRxgEE88CtCXT7j7BNF9piuLpxtE93aq42/wB1lTbuHB9OtVIdLuDqqXl/Fp1xKuN88UTRMdoODgls4J7njJxQBWtvERk1pbYPHPaTQzTRyRRyrhUx0YjEgOeq/wD60gvb60+HFrdtMZNQaxiO+Ulv3zhQM+vzNUP9htayS+VpErxrBLaw+TqLOUicjhUkwqcKpwucYxzgCruuQmTQbezWG7hwYnXy4BMYjG6OFYK3P3cHB6ZoAfHqN1p+tLYarcwTQT28k8NwqmIoIyu8OMkdHBDDA4PA6m1a61YXcM0iXBRYQrSecjREKcgNhgOCQcEcHHBrBmsY9a07Vbi9vLjz/sclsrzWMlskKMMsQjjLZ2qWOTwoAx3ydQudPk0y8S3m0651K8ktrMQpq8l1vVplBQhwdi4JPAPf8QDtn1rTP7OuL5L6KW2tS3nSQP5oQqPmGFyc47dan+2Rf2j9iO7zvKMpx025A/n/ACrkdW027v4NWv59IaKOdbSEWjiORyscrM8mFZhna7ADOfl7dKTV9OiUa5e29vcWkFno8a2cdtvgCsPNkOFXHIOztwaAO6Ge/WlqOAMsCBzlwo3fXFSUAFFFFABXDfFb/kD6Lz/zGbf/ANmrua4n4pgHRNLPddWtiPzNAHbUlHrS0AJgenSilooAQgHqKKztT1i00yaJLv7QBIDho7aSRRz3ZFIXr3qlH4v8OPgNrllG/XbNMIj+TEUAb9IyqylWAIPUEVVtr60u/wDj1vIJg33fLlDZ/KrPPqDjqMUAUZ9I0yZ3eXTrV3ZPLZvIXcV4wucdPlXj2HpTX0i1Jcg3ERZAn7q5kQADGMAHAPyjnqeR0Jzo9/f+VGB6UAZradJyINTvodyKqhXWTbjHILqxyQMEnPUnrzRJb6msbi31KMtsVV8+28zBGMk7WXOefTr6DFaWB6CigDNY6sqSMgs7hgo2KWeEFuN2SA+B1xxntzjNKbq/jWQvp/mFVBAgmDFzxkDftHHPfHH4Vo4HpRQBmtqEkXmNNY3iLGoOQgkyT2AQknH0/OlfVbSPzhJJJEIcbmmhkReemGZefwJxWjgYxjijA9KAKMeqWE0skcWoWzvDjzFWZdyk9MjPGferYJ7E8985olhimQrNGkins6giqb6NpjPO4063WSfBldIwjSY6bmHJxQBeXkHp17HNOrNbSrYtI6TXcbTMM7LuQDj0UtgfgOaJLG4zI0WqXi+YQQpWNhHjOcZXODn1PQYxQBpUVmSRaoDJ5N9BywKCW1Zto5znDrnqPTpRNLq0fmeTb2c/zjYGuHjJXnJ+43PTAHXPUYoAzfGTai0Wm2uj3TW95cXRCsOh2QyyAN/slkUH61Ba+Jlmubi93StYGzszDCqAs00rSDaP9r/VggkAc5xzWletP9qS5k0e4uJLZysHkzRkkOCC2GZRwAMg5+9xntjSaVZWMOoyQxanbvLqAuhILdrjZJkn5FQElM5JH+2RkdgDVHiSyjtZ5r9Z7Frd40lhnwzLvICEeWWBBJ4wT0I7HE0niHSoyi3F8ltI8ayCK5zC4ViVBKtggZBHI9Kx3itVaS41TVohcfbYWuJZYGt48RElEQOTxlWbO487jnHR2p2f9oxeJBaXVtLNf2i2CKsoJjIEmQ3ocyNx7UAdJbXltcNKLa5imMLbJAkgby29DjofrSXt5DY2wnuHZY/MSPI5O52CKP8AvphXOalY3FvdanPZaZDLbPY2trFEYw6Mokk3/uwQWCo4O3jIBANULCymHmW4tDDbza3A0Sx2jW6BI4klLiNidoLIQff3oA7K7vbSy8s3l3DbCRtiGaQKHbBOBnqcCrEbiRAykFT0IOa57W5YP+Et0SC6aFYxDczDzSACw8tAOeDxI3FY+m6jJayTxaKqmwvNRf7K0ab0WJYkMhjUEBgZA2MepIB6EA7ykrmLfWNYc2Fm9nF9vuPtJYyboVCROqiQL8xG4MpwT3xmm2viK9vL7SYobFNt0Lj7SBNlozC4jbaCBld568HHYUAdTgYxjiiuZ0XX2uJ/Ju0uM3F/cQW8xQCNtjvtQHr9yMtkjHBGe1dKnK59e/rQAtLRRQAV598WP+ZX/wCwzD/WvQa8++LH/Mr/APYZh/rQB6AKKBRQAtcL8Zf+Sb3v/XWL/wBDFd1XC/GX/km99/10i/8AQxQB0UtxdtZBbNo4p9q7WljMijp1UMpPH+1/9esb3XYhwmnXJPTdJJAD+OHrbgVWtosgcoP5U8xoTnAoAwxq+pRpmfRy7Y6W10rZ+m/ZT4/EHy/6RpeowkdvJE3/AKKZ61TbR9l/+vTTZxntx780AZyeJNKIBkmntx63NtLD/wChqKntte0a8Yra6rYztnBEdyjH6cH3qc2YydrEZqGfTEuBidElHTEihv50AXlYOOGUhvTmnKeM+vSudHhjS0YtFplpE7HO6GFYyffK4NC6Ckbl4ZtQibHa/nKj6KWK/pQB0YIPQ0tc39h1JH3R61qCrjhHWFx+se79aUtr6P8AJqNoy9xLYtuP4rIMflQB0VBAIIIyD2rnzqGuxkYstPnHc/apIyPw8tv505tcvo8eZolxKc9beeEj/wAfdT+lAF+70TSLz/j80uynH/TW3Rv5iqH/AAh/h4BvJ02O2BP/AC6u0HP/AAAinnxFBH81xY6lD6j7E8mPr5YannxNoypuuL9LZfW6VoP/AEMDFAEA8MW0XNrqWrwnjGNQkkHHoHLCuW13TdT1SKfSdK1DVdQaM48+9ghjhgkHRhJ5auWHYx5x+Nd1a6tp17/x56haXGe8Uyv/ACNXB04wQew/WgCh4ftdRstHht9Wv0v7qPhp1i2bvqMnJ9+M+laVNyBxwMe9KKAFooooAKKKKACkAA6ClooASloooATAxjAxRS0UAJSPGj4LorY6ZGcU6igDNn0LSJ7t7qTS7Rrp8Fp/KUOx92Az2p0umwPbRQRyXEKQ8p5M7ofxweR9av4GQcciigCjaWMtt5n+n3c4cYUTFTs9x8oP5k0ltDqEM5NzfRzw7eF8gqwPruDYx1/hq/RtHoKABRjjn8aWkpaACuL+KP8AyA9M/wCwtbf+hGu0rifimwTQdNY9tVtj/wCPGgDtC2ADnt+dMaWMOE8xQzdAW6+tEsZfgNg1mXmj29/GEvLaC6QdFniWQDP1oA1up+9nPvRnHf8APtXPf8I3YxJthtFt0HGLdmgwPYoRSLo8sI2wXmpwnsRdPMR/38LCgDo+vXFI6JIpWRFZT2YZFc6tvqsPCa1cynsLiCJsf98Kv86clxr8ZPmXWnzDsDaSRfr5jfyoAuXXhvQbpi1zounTOe72qE/niqx8I6EABDZyWoXp9luJYMf98MKRdU1pWPm6dZMvrDetu/JogP1p669cB9suhago/vo8Lr+Qkz+lADP+EaRARa61rNvjv9tMuP8Av4GpRpGsxk+R4muXA4AubSF//QVSpP8AhJLINslh1CInjL6fMQP+BBcfrS/8JNoe8I+sWkLseEmmWNj7YbmgCIW/iqI/LqGlXIA4D2ckRP4iRv5UguvFER/eaTps4z/yx1BwcfRov61sQ3Nvc8280cv+6wOKmz2/Hj/CgDBOt6rGT5/hfUCM/egnt5B+RkB/ShvE8CY+0abrEB99PlcfiUVhW/3+vvSZ6HjtQBw2q+MoNMujfx6lHPZFQJbC5Q28yYByYi4Xcf8AZbr2Iziur0bV7DW9PS90u5S4t5P4lPKnuCOxHHHuKoXehS6nczDVdTnmsjwljBmGPbjo5U7n+mcdOPXXsbS2sbVbeztoraFOkcSBVH4CgCeilooAKTAxjHFLRQAmBknHJopaKAEAA6DFLRRQAmB6dKgns7W5BW4toZVJBIeMMCe3UVYpKAM9tG07Mmy0jiMshkcwjyyznOSSuCTyevrSDS41DmK6vU3yeYc3TvzzwNxOF9hgVokA9RRgelAGU+lSyBhJfyzgy7wtxDEwUf3RhB698mo7vTbq8iEdxJZTRrLviHkPG0a4xwwfIbkjcMcHGPXZwPSjA9KAOUutF1C41ezuGVIYbWN4YmgvpFkVWZSWJKfNwuCDnPXPAqWKx+yXmmTW+n30K2QktVVJInVo3KMWbc248oDkfMecjmumwPSjA9BQBysEFvbrosTrej7DdyOP9CkbzHZHGSVBCj96TknH4itg6xpq7RJfwxM8vkoJX8stJ/dAbGTyOO9adFAENtPFcRb4JUlQHG5H3DPpmpqZHHHECI0VAxyQoxk+tPoAK8++LH/Mr/8AYZh/rXoNeffFj/mV/wDsMw/1oA9AFFAooAWuF+Mv/JN77/rrF/6GK7quF+Mv/JN77/rrF/6GKAO1t/8Aj2i/3B/Kpait/wDj2i/3B/KpaAEpaKKACiiigBKKWigBCO9IUU9QDTqKAIzDGeqj64pn2WI9VA+lTUEA9RQBWNlGemR+tMNmASVkIP1q7RQBj3Wi212u24tra4BHImhVvX1FVB4Z0+Hi3sYrdc8CDMGPxQiuiwOeOtLQBzaaLJAMW15qUYHQm8kk/wDRhahLXVofua3dy+gnhhYf+Oqv866PA5460EA9qAOcWXxBGcteWEyjops3jP5+Y38qeup60jfvNNspFHeO+YH8jGB+tbxRD1UflTTDG3VRQBjDXrhW2TaJfY6l0kgZR/5EDfpTj4ktFIEtvqERboTYTMufqqkD861GtYyDx+Aphso88ZGfSgCj/wAJNoatiXVrWHPQTyiM/wDj2K0Le7trlM21zHKp7o4YfmKiayP981n3PhvTrk7rjTrOdvWW3R/5igDcyM4DdOTmjPp+prnT4ctQoWGOWBe32W5lh/8AQGFA0m6RdtvqepQH1E4mP/kRXoA6MUtc4IdZhXbFq8kjAdbm2R/zCbKEudeiX95Jp1y2OAsUsGf1egDo6K59NW1ZP+PnSYDg4/0e93Z/B0X+dPTxBLz5+i6jCB3/AHMmf++JCf0oA3aKxE8S6eWKyfbIcdTPYTIP++ioFSReJNDlcRJrFj5p6Rm4UN+ROaANeioo5opF3RyK4z1Vs09c4Oc/jQA6iiigArh/ivj/AIRzT/8AsKW+PzNdxXEfFf8A5Fuw/wCwpb/zNAHb0UlLQAlB79OfWlpKAE2g9R+FIY1PYflTqKAIzbxnqKjNpGe1WKWgCobNP4cg9qY1kdpXflfQ85q9SUAYNz4b026YG40yynKngyW6MR+YqJvDttgCNJ4RnOLa7lhH/kNhXR0tAHN/2XdRrtt9U1KAeqzJIf8AyIHz/OlEesxriHVjIw6G5s1fn1+QpXRH8aQqpxkD2oA58XWvRjDyadcMR/ckgH83P+e9OTVtWQf6RpMJbuLe83f+hov9K3TGjZ4Bz1pht4zn5RQBkJr7k/6Ro2ow+/7qT/0B2P6U5fE2mkkSfa4SO89lPGv5sgFaRtIielMNmP4Tj8aAKsPiTQ5n8uPWbFpAfufaU3fkTmtKKRJV3ROHXP3lbIqpJYb1IkIdT1DDNZkvhfTHmEp0qxMo/j+zoG/MDNAHQA8j164zSiubbw/ErK0b3sTD7ojv50X/AL5DY9OxobTr+PHk6xqUIHRf3T5+u9GP40AdLRXOOuux4EOqQHHU3FlvOPqrr/Kl+3a9GOIdOuD/ALUskOf/AB16AOiorA/tjUY13TaO7nH3bW5jfn6uUFPXxAqpuuNM1KHHUeT53/oovQBuUVir4l0vG6WeW2X1ureSAfm6ip7XXdIu222urWcxztxHcI3P4GgDTopisGwVOR1pRjHJPTvxQA6ik9aWgAooooAKKKKACvPvix/zK/8A2GYf616DXn3xY/5lf/sMw/1oA9AFFAooAWuF+Mv/ACTe+/66xf8AoYruq4X4y/8AJN77/rrF/wChigDtbf8A49ov9wfyqWorf/j2i/3B/KpaACiiigAooooAKKKKACiiigAooooAKKKKACiiigApMD060tFABSEA9RS0UAJS0UUAFJgelLRQAlB54PIPtS0lACFVIGRwOxppjQgjA9DwKfS0AQm3jP8ADTDaRn+HFWaKAKhslPQkexNRyWAcbWIYHs43D9av0UAY1v4e02G8S6/s2zFwn3Zlt0Dj/gWM1sCiloAKKKKACuK+KmP+EYtT6ajb4OP9uu1ri/ip/wAiva84/wCJjb/+h0AdmO9LSetLQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAlGB6dKWigAooooAKKKKAEoxzwMfSlooAbsXjjH4dKa0SEH5R9KkpMD0oAhNvGT05phs4zjt9eatUUAUjZgHKsQfaoJ9LiuAVmSOVTxh0DD9a1KKAObHhfS4yTDptpExOd0UQiJ98rihdB8pi0E+oxseoW/mYD6BmI/SukpNq8cDjpxQBzYsdSjO5Nc1DAH3ZFgcf8AoAP60pbX43GNQsmQdRJZMG/MSY/SujxTfLU9h+VAGANR11WUfYtPnXPJF3JGf++fLb+daNheXNwWFzZPb4GQ4lV1b+v/AI6KuvCjn5lBpUQL0H15oAcOOKWkFLQAV598WP8AmV/+wzD/AFr0GvPvix/zK/8A2GYf60AegCigUUALXC/GX/km99/11i/9DFd1XC/GX/km99/11i/9DFAHa2//AB7Rf7g/lUtRW/8Ax7Rf7g/lUtABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFcV8VnEfhS3cjhb+3P/j9drXD/ABb/AORQiI/5/oP/AEKgDtxS0UUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAlLRRQAmB6daKWigAooooAK8++LH/Mr/8AYZh/rXoNeffFj/mV/wDsMw/1oA9AFFAooAWuF+Mv/JN77/rrF/6GK7quF+Mv/JN77/rrF/6GKAO1t/8Aj2i/3B/Kpait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/wBDFAHa2/8Ax7Rf7g/lUtRW/wDx7Rf7g/lUtADGOGHJ9cClGccg574NVb3TbK/eNry1imeL7jOoLJ9D1HTt6VHb6Za20U8Vs1xEJV2nE7tt4PK7idp9x7UAX/WlrKj0u4iuI5E1i/KqfmhfymVh6ElN2PoRS3UOsNcs1nqFpHCf4J7NnIH+8JF/lQBqUVnzNqiWkf2eG0uLr/loHmaFPwwrmnWtxev5n2uyERUZXyphIH9gTj9QKAL1JgZzjmspdXwwWfTtQiLHGDB5mPqULAfX/ImvNX0+ymMd7drbnrmXKKf+BHj9aAL9FVLW+tLu1W5truCe3Y4WWKQMrHp94cGrA55DEg9+ufyoAkrnNb8E+G9bLPfaRAZTyZoh5bk+pK4J/HNdEMYyDkGloA86HgXXdDBbwl4quYY1GFtNQxLF17HB2/gufeg+LvFuhNjxN4Xe4t1zm70wl1AA6lSTgfUivRaKAOU0Px94Z1sIltqkUU5x+5uf3TZ9Bu4J+hNdSpB54JPNYmueEtA10sdT0y3lkI5lVdkn/fS4NcwfAmtaGd3g7xPc26KMrZX372I89uu3/vnPvQB6GAMdMUV523jTxH4f48XeG5fs44N9px8xAPUqScfiQfaur0PxPouvx50nUop3x/qi22Rfqp5oA2cD0FFC570tABSUGmMwVgpcAnp6n/PFADyAeoBqu9laPgPawsBjrGD0xj/0EfkKnB4ySAKUfpQBU+w2w2+WrIoOQI3ZRn5SOh6fKOPTI6E00WZXBiu7hQMdWDZA28EsD1CkHv8AMT1wRdowPSgCmsF1Gqj7a74wC0ka5b7oPQDBOG6cZbpxiomt7lkQXP2K524yTEUAxtBIBLf9NCPqozxk6NGB6CgDJu7Vr+OMX9gjvGQVMNwcoTtBw2FYD73TqF98DNl0g3WtG7ljvraEWcdtB5E21l5JfJRjwd6jvzGx/uk9QAB0AowPQUAYFva2kF9az2sk1nHBbC2+zmEhCgAKjLDgqWHI9x2OI9Ns7O1Ghww6nFJFpdoYQpK5kJVFDdeMDP8A32K6SkZVYYYAj3FADFIIG05x3Wnj+dMSCGNi0cSIx6lVANSUAFcT8XP+RBuPX7RD/wCjFrtq4n4uf8iBc+08P/oxaAO2ooooAKKa2fXHGaoTX88csyjTbqSOMAq8bRnzMkDgb8+vUCgDRorMbVYoxIZoLxfL2lttrI4+bGANoOcZ5xnvnFEus6dAsjXGoQQCMAuZ5BHtz0+8R9OvXNAGnRVdLiGViIpkdhg4Vgf0qXdx34HPtQA+kAA6CgUtACUHkEEDB/GlooA47Xvh9oGqS/aoIX0y/X5lurE+UwPqQODz3xn3rINz458JAfaol8UaWv8Ay0iG25Qe4Gc/+PfUV6PRQBzPh7xtoPiArFZ3nk3fINrcjZKPbHf8Ca6Vc9653xJ4L0DxEM6hZKtwOl1BhJV/Hv8A8CyK5w6f458JEtpd2PEelpz9muji4Ud9rd/zPstAHo2B6UtcXonxF0TUZzZ3zyaRqKHD21+vl4PoCePzwfauyUgjjOPegB1FFFACMoZSrAFSMEHvWWPD2iJcCaPSLJJgc+Yluqt+YGa1aKAM260mC6uvtDzXscu0A+Reyov/AHwG2/jintZTLY+RHqFzGwORMSjN9DuU/wCe9XsD0ooAoWkGoRTk3F/HcQ4xj7Ptf/voNj8hVaQa3G6mOy024KfdZrh4SoPXH7tv51sYHpRgYxjigDA1q1jeEQjQ7i8iaTz91nMkUiyf3gxkQg+4PIJHtUNzZ2s1lPeSWuo6fOt0LndEglnEuxY96qu8MNny4weM8V0uB6UbRzwOaAOHv9KsteLwDUplubmza0LX9h+8x8zblDKu1iWycAZCADbtzW7pxsItZ1GSLULeaSVkUxIw3QhF27SM5zkMegxmtyq9zY2d2u26tIJ19JYw3v3oA5d9H1mbR9S0h0s44dRuJzJdC4ZmWKV2PCbMFthC9eDzz0MEmiNNrl6LxJwJ7yKS1mjt1kVURV2gOPmTBVs5wOT13HPVXOmWVxHHHJbgLENsflsU2DpgFSMfhTLfTIbWCaO3luwJh957qSUqf9kuW2/hxQBx9vP9ruZZbM339ovreEI8wR+SkwSTGPk2FEcH1OO+Kj8kSaJq8Vpev9qutbWB0kkMnl/6QqZK5zyiZHPIxXVado02nOFg1a8eDezeRIkGPmJZuQgbqSepqS6ttWa7aW3uNOaHcCkU1m+4Ed94k/8AZaAGaHPdPdaraXNy10LO5WNZXRVYho0cg7cDjfxwOMdep2BWc63lrFvtbKzaeaTfcnzTEGOAN2dhycKBzjgDmrlq8slurzwmGQ/eQsGx+I60ATV598WP+ZX/AOwzD/WvQa8++LH/ADK//YZh/rQB6AKKBRQAtcL8Zf8Akm99/wBdYv8A0MV3VcL8Zf8Akm99/wBdYv8A0MUAdrb/APHtF/uD+VS1Fb/8e0X+4P5VLQAUUUUAJRgccdKWmnrnn8KAForJv7jW4brFjptpc2x/ie9aJ8+gXYw/UVW/trVo932jwvqBHdoJ7dx+GZAf0oA6CisA+KLePH2rTdYtwepbT5HA/FA1DeL9AXb5+pJa56C6RoM/99gUAbNxb29zEYrmCOaNjkpIgYH8DVSz0bS9OmMlhp9raMwwTBEsefXOMZpLbWtIvf8Ajz1WzuB0/c3Cv/I1oAjquCMdvSgDJOh26O7wXWoxuxz/AMf0zjOeysxUfQVYu7S7llWS31Ke2CqB5eyN0PucjOfoccfWr46c8/WloAoJDqUdnIr3UE1xu/dv5LIoHHDAMcnrzkdRxxzFbyayLuNLq1svsxzuliuXLg47IUx1/wBqtPA9BSNxjjgfpQBlz6lfwzMi6HeTIGI8yGWEgjsfmkU9PaprzU4rJITcQ3WJRwIbWSYoffYGx+PFXUYN0IODinDkdc0AUY9Ts5baa4+0LHBCCZWmzGEGOrbug46+1cvqng/wj4kcXNq0NveZyt1psyo4OeuFyD9cZrtsD0FV2sbNp1ma0gMqHKuYxuU+xxQB58Z/Gngtc3YPibRU6zRgi5iXpkjq3f16ZyorsvD3iLS/EVit1pV0JU6OjHDxn0Yev6VLdaLYXMzzSRSJK5yzwzPCx4xyyEdv6VWtfDen6fBKmltNpzTPvllhfLyHGMsXDbj357k+tAGxyQDzjGcVyml6fp2sy6xPrFvBcXi3skB88KWgjU4jC/3QV2vxjls5resrO4tlk83VZ7zcPlNwkXyn1+RV/Ws06NdS6hDe38ei3s0TDbM2nFJIgDn5WLsc/lQBTk1a/m03ULu4NuLEXb2UMUZdJWPnCEMZAw2854Az0INOOrakp8R/aFRLO0k8m2lt5f324xoQAGTaTl+pJwQQQRWhe2cwQWsGlwS2S3C3ChLoxt5gk83JXbj74z1OfSq1xpoayuppIL9Bd3Ecs1ohifYyMp3DrwwjUEbjx0AJNAF6LWFl1GSzgtLqZIX8uW6Gzy1faG2n5g2eR0XHPUc4a+vWqw3RxcLLBbNcBJ4HiLIBnI3AZ9x1HcVQ0/z31G8t7K5ubeCcyT+XNpsitG7cErK3y43HO0jPXnFYEkNo9vf29zrmmpc3WmGxRJL195Jzuc+Yc8jBx6jkmgDsbvVWsNBh1C5t5JZH8lfJgI3F5GVABuIH3m7kVJp2qxX08sDQz2t1AoaS3uAA4B6EEEqw4IyCRkVV8RwSz2tktrbNcrDewyyxxlQwRG3AjcR/Eqjr+dZGsRaxdf2hqsFtPYuIIrWNAQ83l+aDM+2Mn+HIUA7uDjBIoA7JenXPvQ31PNcHcSyadpMssWr+RbXF9aRK8YdRbkODIf3hO0Mo5B46k9TT7me5vLae1s9XnktxrFvFDcAoxI+VpE3Y+YDn3zlTwMEA7fcC5VW+bGSueRn19O/5U9enGcdq4q5utQs9b1zU7Z4JI7NLe3nEkbF5dqlyq4ICcTZzhhzXaKMDigB1FFFABXDfGJinw7vWU4KyREfXzFrua4X4y/8AJN77/rrF/wChigDuRS0gpaAEoIB6ilooASign2pM8nuB6UAVbrTNPvI5I7uwtp45cGRZYVcPjkZBHPIBqKXSbGQSKEePfjcYJniYY6YKEEfhWgOnf8aWgDNl03PmiG+voDIQNyzb9uPTeGAzRJbXw83yNTbc5BUSwqwTAORgbTz1/CtGigDNcatH53lz2cuW/cq0bx7Rznc2WyenQDjP4DXGqJ527T4XUOBGI7sksvPLblG09OAT1rSwPSigDMfUZ0Mu/Sr4JG4VZFMbeYDn5gFYnHrkA8jg84G1e2hMiyi6j8pxGzPayhSTnkNtwR8p5BwOM9RnTwPSigDNbWtLV3VtRtVeN9jhplGGOcL16/K3/fJ9KuLIrg7JNxBIOCDzk8enbFSuqupV1DKeoIzVK40jTLgsZ9OtZCzhyWgUksARuzjrgkZ9zQBBrfh/SNetxDq1hFcgDCsww6/RvvD8DXIL4K8QeHjv8G+IJFgXkafqHzxfQEdPwAPqa7KbSLRiTm4j3SCVhFdyx7mGf7rDI55HQ8Z6US6fIS/k6newky+YdpjbPqo3ocDntyMDBFAHHL8QdR0bEfjPw7d2JGA11ajzYCcnn2HsCxrqNH8VaFrSr/ZurWs0j8iIvsf/AL5PP6VakttQCsI9QQhpc/6RbBxszygCsvPbP6HqeX1jwDpWp7mn0jTDIZP9ZAXtCFPX7uQzfUUAdyD/APr9aBXmA8D+ItKCnQfEGoWqrJhIZLgXEYT+8VYIBj0AY0qX3xQ01CZbOz1JRJsAePbI3o3yHaAf/wBeKAPT6wPE2uvokliVgE0csmbglyvlRLjfJ0525BI9M1y1l4+8QLdwQat4MvbWOWYQ+cGbapJAycryvfOcV0lx/ZmravFO2oWU9rFbz2csAmDEvIY8qefRSMdfmoA0YdTia61GGU+VHYMivM7gLllDnPTGAR+dXLeaO4hWWCRZYn5R0bcGHsa4qy0HVLOwgku0XVGj1MXE0cbAtNGkHkxn5iBuBVHIPcccgZnXR7m5miE9lJBaXusG6kt1I/dRrbsAWKnHzSIGIB/jwe9AHZqeOuTSj61wuqW80SapPBc31p9lvbW0sFhndUUMIRkJna+TIR8wI4+tX0vJbK41Sya/vJdtxFBbt8jyiR0DFQWAXpg/NwN3XoKAOqZgCMnH40q9+c1xsV9dahJpVvdBzjWZI9zqoYpHFI3zbSVzuG3jA4rS1Nbm88U2llFe3NpCllLNJ9nYAl98YTOQQcfP2/OgDoKCAeormLHX5orYW1zHLqF+LmaBRbhFaZY2wX+ZlUY3KDyPm4Aq23ibTVgtpZJLjNzCZUjjt5JH2qQGyqAkEEgH05oA3aTA5461jr4i019UtLBLtGlvIDPC4YbHXKgYOeSd2RjPQ/Sp9J1SPUrFLhNqM27CF8nAYgE/Xg/iKANGikXoadQAV598WP8AmV/+wzD/AFr0GvPvix/zK/8A2GYf60AegCigUUALXC/GX/km99/11i/9DFd1XC/GX/km99/11i/9DFAHZwvttYif7g/lVe71FLaPd5cspzgrCu4j8M5qzCoe1iB/uD+VMa1jxzwKAM1PEmnlisgvYcdTNYzIB/wIrj8jUkXiXQpZBEmsWPnH/lmbhQ35E5q2bIdice5qOSx3qVch1PUNg/zoAtxyJKuYpFdTxlTkfnT8jnP161z8nhjTHk3tpViZR/H9nQN+YGfXvTT4fhUqYzeRFTlRDezRr9MBsfpQB0Qxj1z60tc42m3y4Fvq+pxKP4QYpQf++42OKGGuIMQapCST/wAvFl5h/wDHZE/PFAHSUlc99u12PH7vTbg+8kkAP6PinjWNTji3T6NvOOltcq/P/A9lAGhd6NpV6CLzTLO4B/56wK/8xWf/AMIh4dDHytJt7dvW1zCfzQinp4gGP9I0rUYSOxhExH/fouacnibSyuZJprcetzayw4+u9RQBEPC1pH/x7X+r2+OgXUZnA/B2YfpQND1KMg23ijUsD+GeKCQf+iwf1q5ba9o12+211WymbOMR3KMQeOMA1oKwblSD+PagDDNn4oiJ8rWtPmXsJ9ObP5rKP5UGXxTEebLSLoAfw3csJJ+hjb+dbowB6UhHZeuMdelAHmuvapqXh7UFvbPSjbX91Jl7GG6SaO8OBlhHlXD8feUHpyD29C0u6lvdNhuZ7SWzkkXLQTY3IfQ4JH+e3SotL0fTtL8xrG1SOWU5llJLySf7ztlm/E1oUAFFFFACYGc45paKKACiiigBKMDjjpS0UAJQyqylWAIPUEUtFAFG+0nTNQmSS/0+1uZEGEeaBXZevQkcd6Y2k2YsXsokkggkIJEEzxMCMdGUgr90DAPStCjA9OtAGOdDgN1azvd3siW0hkjikmMi7trLzuyx+V2GM1FfaNdXVrJbC8tJLZiCsN3YrNGvOQAFZOnGPwrdwPSigDE1DTLh7V44baynM7rLch3eASyLt2nI3EfcUY54GKuW8+pm1ke7sYFmXlI4LkyB/bLKmPxq/gegowPSgCjY3lxdbzcabdWWB0naM59hsdqvDvzmigAAYAwKAFrhfjKP+LbX3tJF/wChiu6riPjCP+La6kcD70XP/bVaAO2oP9PWjv1/CoJ2cD5Oc9gfegCf1pawryO/luBLDqNzbqFx5UaRshOep3KW/wDHgOPrUJbXoyNuoWbJ3Etk2T/wISAfpQB0XeszUtC03U51mvIZDMq7RJDPJEwGc4yjA9SapNqGuIRiy06dR1Iu5IyB9PLb+dPbW71CN2i3MhzyYJ4WH/j7Kf0oAafDMCKfsmraxB6bdQeTH/fwsKBo2rRH/R/FN63oLi3gkH/jqKf1qU+IoIxm4sNSiP8As2Uk2P8Av2GpT4m0ZV3T6jFbKf8An5zD/wChgUARC18UxH5dV0u4APIksJIyfxEp/lSfaPFURO7TNLuF/wCmd/JGfyMR/nWlbapYXgH2O/trjPeKVWH6Grmc+49uKAME6zq8RIm8MXzDH3re4gcfq6n9KP8AhJo0OLnStYgbPT7A8oH4x7hW/nrxRQBgDxhoCgNNqAtQeguo3g7/AO2BVy11/R7zP2TVrGfnA8q5Rj/OtSqV1pWm3gYXmn2twG6iWFXz+YoAtbgwDBsjtjvWSdaSDWTp2oxPZtK2LWaQjy7n2Vh0bOflPOMEZ5xC3hHw8r5h0e1gYnlrdPJPHI+5iuY1Hwpc6xFNYWkV7pmnk4eW81Ka4LgH+GHeRjgYLEEelAHoinIzjrS4HoKpaPYnTNLhs2u7i7MK7fOuWDSN9SBzV6gBCAeoopaKAEIB6ijA9KWigApjxRybfMjVtrbl3DOD6j3p9FAGf/Y2mKwaGwto3WTzQUiVTv4+bgdflAz6CmrpNsjoyPdgLJ5m0XcuMnHUFuRx06dfU1o0YHpQBnJp9wjRNHqt5tjkLsjeU4kHHyklM44OMEHnqarT6ZeXMawXE1hcWxkDTxz2G8yKNu0A7wAwwfmIP8PHHO3SUAYVvp91afYlisNMCwyMSYXaARK2AWRArAk5bgkfXk4iu7S8uL6K8NtfW1zIot5XsriJlVASQTvAyMux+UbuK6LA9KCAeooA4240m2kXTxbWclnJEssCR3tgbuMh2R2L7W6llzuLdS2c1BDc3EGvQ/2alpbxJp8dvEtzay2kTOXYv5a4427UOz/axuGDXc0YHoKAOQ0KOOzutOGnXVvqFmumraxTQzp99MljjPIb5emcY5xxl2gaE+lyeHEWySJ7fT3S7mQKD5pEeVJH3tzbmzzyvvXUS21vKyvNBE7IcqWQEg+1VI9G0y3EKW1jBbpFny0gQRhc9cBcDmgC+uMcdKdWZFpcMHlCC4vgsZON11JJnd67yc+3pVuyieC2EclxLcMD/rJdu4/XaAP0oAsV598WP+ZX/wCwzD/WvQa8++LH/Mr/APYZh/rQB6AKKBRQAtcL8Zf+Sb33/XWL/wBDFd1XC/GX/km99/11i/8AQxQB2tv/AMe0X+4P5VLUVv8A8e0X+4P5VLQAUUUUAFJS0UANIB6gH2xRtHfn2p1FAEZiQ/w/lTPs0fZefapqAAOgoArNZxsOnTtTTZgElWIq3S0AZtxpiTgiZY5Vxj50DZH41m/8IvpaEmHTLOJzyWihWMn8Vwa6SigDmxoSxsWjn1CInoFv59o/4CWK/pSGx1GNsprWoAdNjrA6/rHu/WukIH93PekA5z+vrQBzrNr6OPL1G0ZfSawYk/isgH6U/wDtDXYyALPT51B5P2qSM4+nlt/Ot4qvcdPamtCjDlQfrQBinW79MeZolxISf+XaeI/+hsv8qcfEUEYJubHUYfUC0ebB/wC2YatY2sRJyOtMNmh9RQBn/wDCTaOqlpr9bdR1+1IYAPrvAq1aavpt9g2WpWtwDyDFOjg/kakNmQcq59etVLrRre7BFzbQTg9RLEHz+YoA1AcjIOfcUoYHoRj61zo8M6fD/wAe9jFbkDgW2YT/AOOEULorwA+RealGB3+2ySf+jC1AHRj3FLXNpaarCcprV5IP7s0ULAD/AICin9c0JNr0bEm9sJkHRWtHQj6t5h/lQB0lFc6up60jAPp1lIndkvnDH6KYsfr/AIiRdduVbbJol+R3aOSBgP8AyIG/SgDeorDPiSzjYCa31GNj62EzDP1VSKefE2iRnbPqttAScAXEgjOfo2KANmiqtve2t0N1tdwyqRwUcMD+VWMjdjJzQA6im5+n5/lSigBaKKKACuI+MP8AyTXUv96L/wBGrXb1w/xi/wCSa6j/AL8X/oxaAO3paan3F+lOoAQjPp+VNKJ/dH5U6loAiMETdVH5UxrWM9qnIB6ijA9KAKhsU7ZFJ9jPRZDnGOtXaKAMa70O1u1K3NpbXC91mhVh+oP+TVT/AIRuwiBFvZR24H/PuTBj/vgiukpKAOcXRpIBi3u9Six0JvJJMf8AfwtQtrqsOdmtXUnoJ4YWA/74Rf510RA7AUYUnt9KAOeWbX4yS95YTKP4TZvH+okb+X+NOTVNZVyJdNsWQd0vmz7jDRAfrW7sQkHA/wA9KabeMjBWgDHGvXCvtm0K+C45dJIGX8vM3fpTz4ks1ZRLb6jGx6ZsJmX/AL6VSP1rSNpGRnaaabJO2QKAKP8Awk2iK4STVbSEk8LLKIyT6YbH5VoW93b3K5guIpfdHDc/hUTWRIxvOD2JzWddeHNPuSDc6bYzEdDLbo2PzFAG5kdATnFLkc88dTzXOt4ctgAI4poRn/l2upYcf9+2FH9mXEa7bfVNShx0KzrKR/38V6AOjH60tc4ItZiXbFqzSNj71zbJJj/vjZSpda7GpDS6fdN2wjwZ/V6AOiorn01bVlGbjS4D/wBe17vP5Oi1JHr8nP2jRtShx3xFJ+OEdj+lAG5RWKniTTixEn2yEjvPYzRr+bIBT4vEmhTSeXHrNj5h/gNwob8s5oA16KjjkilXdHIrj1Rs07vjP4UAOopvboenrS+tAC0UUUAJRS0UAFFFFABXn3xY/wCZX/7DMP8AWvQa8++LH/Mr/wDYZh/rQB6AKKBRQAtcL8Zf+Sb33/XWL/0MV3VcL8Zf+Sb33/XWL/0MUAdrb/8AHtF/uD+VS1Fb/wDHtF/uD+VS0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFACYHHHSjjPT8qWigBu0HqAfqKQqp4I/SnAAdBS0ARGCJskoOfamNaxMD8vHpU+B6UtAFQ2adiQDTDZkYG84q9RQBhXXh7T7rm60+zuBnJ82BH59eRUB8N2iqEiieADoLW4kh/9AYV0dGBzx1oA5z+ybiIEW+palD6kXPm/+jA9W9Ntr+KYNPqs9xGv3lmhjGfxQD+VbHegdjQADvS0lLQAVw/xi/5JrqJ/24f/AEYtdxXEfGEZ+GmpH0aL/wBGrQB2qf6tfpTqbH9xfoKdQAUUUUAFFFFABRRRQAUUUUAJS0UUAFJS0UAFFFFABSUtFACYHpQfTr7UtJQAhC/xAY69KQxo3DKGwe9OoIB6igCI20Z6r0pjWcZ6A1ZooApmyHG09Peo5bHzAVf5x6NyKv0tAHOyeGNMeXzW0uwMo/jFugb8wM00+H4UdWja8hIPAivp0Un/AHQ2PTtXSUlAHNnTr5NvkaxqUK9hmJwfrvRjSt/bke1YdVgJ/wCniz3n/wAddf5V0ZHXj/69JtHoPwoAwDfa7GPlh0+4Pq0kkAPv916d/bGoxrvl0d5CP4bW6jbP4uU/pW2YU6bRimG1iPUdsUAZS+IFVCbnTNRgx1HkiYj/AL9lqcviXS8bpZ5bcDqbq3lgA/F1FaBsozjtj8ab9ix912H0NADbDU7DUtx06+gulThvImV8fXB4/nVxenJBI9DTI49nXqepqSgBa8++LH/Mr/8AYZh/rXoNeffFj/mV/wDsMw/1oA9AFFAooAWuF+Mv/JN77/rrF/6GK7quF+Mv/JN77/rrF/6GKAO1t/8Aj2i/3B/Kpait/wDj2i/3B/KpaACiiigAopj5z8uc+1c3oXiuHVNMmvbuIWQit0vGVpCwEDBir5wOflbI5wV980AdPRXOaTrt9qen3ki6WIry2ufs7W73Q2q2xXGX2/7YBwDg9M9a0NE1P+1tLW7EEkBLtGUc7vmVipwR1GQcHjIxQBp0Vx3hzxjNrFtpl1Ppv2a11SV47V0n81iU3k712jbkRnGC3bPFaFn4v0C+t5ZrPU0mSJY2YRqzMN+SqgAZLna3yjLDHSgDoaK5XXPFttaaIl5pknnyyXMdtgwSP5TMV+/Go3AgMDtO0k8Dk0f2/ckWAWS1l+0axJYO0SP8qqsp6NjD5jGeo578GgDqqKyrTWrC9vWtbW63yAMw+UgOB1KMRhwCRnaTtOAcVprkDkg/SgB1FFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFJS0UAFFFFABXFfF//kmeq/WH/wBGpXa1xXxf/wCSZar9Yf8A0alAHZp/q1+lOpqf6tfpTqACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooATA9KKWigAooooASloooAK8++LH/Mr/APYZh/rXoNeffFj/AJlf/sMw/wBaAPQBRQKKAFrhfjL/AMk3vv8ArrF/6GK7quF+Mv8AyTe+/wCusX/oYoA7W3/49ov9wfyqWorf/j2i/wBwfyqWgAooooAYx+bHtmuKg8IXiab4dtvtccZsolttQVCStxEGV9o45+ZAOcfKziu3owPSgDmhok62+trNbWF8t9fG5jgustGy+UigNlTg7kz0PFXfDumTaNppt57rzw0zvGoXCQIx+WJP9hRgD+g4GxRgegoA5DwN4Qg8N6NZreiOfU4EdWmDu6IGckhAxwnGASAM45zUln4evbXw14ftY3gN/o21wpJ8qRvLZCN2MgEOecHp0NdXRQByc3h28ntmklkgF3c6rb38yhj5cYjMYKqcAsdsfUgZJ7UqeG7zy7RHlh/da1cX7YY/6qTzsAZH3v3oz0HXn16ykwPSgDkvDPhh9IntxOvmx2Ufl2051CeQ4I2nMTfInHHy/kK6xemM9KWloAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArivi/8A8ky1X6w/+jUrta4r4v8A/JMtV+sP/o1KAOwt8m2iJOcoP5VLUVv/AMe0X+4P5VLQAUUUUAFNbgjnH406qGtW0F9o95Z3TOkFzA8UjR/eCspBx15wfSgB1tqFndQyTW97DLDGSHkjlVgpHXJBwMVJa3UF5bLcWdzHcQv92SKQMD26jjrXJ6DfSSWt/bfaLC8s4IYvs+qx2pMcnLAK6qcMVKgnaQPm/hqx4IkZ5dYbYkqyXYlF9CuyC6JRRmNcnAXAU8nJGcnnABuWmraZfTPDYala3MsX31huFcr16gE46H8qvrnnPrXmfwx0i8uvDHhy7uktobTT3nmhKhjNKWaRcNkAKvzE8Zzx07v0c31v4R0bUb7W9Rmt9REQ1CaSfAt4hHIflIAKZYqGcnPTnvQB6DqF9b6fbNcXUhSMYXIUsSScAAAEkkkAADJJ4qq2tWC3q2pucTmdbfyyrcSNGZFU8cEqM/8A664jVIpNQ0VA11eT6emu2i2E32hg0kJMQJ3ghmG5n2sST3yeDVm9nmfxgsUk8jxQeIIFiDOSEBsWOFGeOST7k0AegJ07/jTq8/sbzVp/FhS4u4be6S8cNbSX7hntgxCgW+zYcrtIcNnPfGVrvozlc5yKAHUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXn3xY/5lf8A7DMP9a9Brz74sf8AMr/9hmH+tAHoAooFFAC1wvxl/wCSb33/AF1i/wDQxXdVwvxl/wCSb33/AF1i/wDQxQB2tv8A8e0X+4P5VLUVv/x7Rf7g/lUtABVe58/j7O0YbnIcE5+U4HB45x26A/hYpCAeooApGW+V2xBDIgzjbOdx+8QMFcc4Tv8AxH0GVa5nUkGznYDPKOh6bvVgecD/AL6Hvi5RgYxjj0oAqNeomfMjnXBPSJmGBnnIHov6j1FBvrQEh7mNTzwz7cdf8Dz7VboIB6igCNZUcHy5FbHcHP8AWn5B75PpmopbS2myJbeJ89dyA/56002UBGFVo/8Arm7J/IigCwPrmlqr9kxwlzcL/wAD3f8AoWaQQzrjZdu3P/LRAe49APQ/nQBboqoBeqAC8Mh74Vl9Pc+/6euaQSXgKiSCPngiObPp0yB/tfkPU4ALlFUkupCw32lwmeOqsB930J/ven8Le2RL+Fwp23C5Kgb4JF67cDkD+8P1/unABdoqimo2Tuqx3kJLgFcyD5s7cY/77T/voeoqdJFcBkkDLjhlIIPTnr70AT0U0e9KOP8A9dAC0UUUAFFFFABRWB4vnv49Nhg0m5+zX93cJDDIVDYPLHg8HhTn2z6VVtPEyXEpuZHMNkmnRXEqFdzJI7sgTjJ3Aoy4AJJ6e4B1NFZI16wWK6e5ke0NqFeVbmMoUVjhTjuCQRkZ5B7g0465pi26XDajBHHIP3ZkkCBudowTjOTxQBqUVCkiOWVXBKHBwc4Pv3qO7u4bO1kuJ5QkSdXPNAFqioZJEjC+Y4TJx8zdT6fWpEOVzzg+tADqKKKACiiigAri/i8P+LY6uf8Arj/6OSu0rjPi7/yTHV/+2P8A6OSgDr7f/j3j/wB0VJUVv/x7x/7oqWgApDntS0lACcZ4alHPUfnVC90bS764Fxeadazzqu0SvCpcDk4DYz1J/Ol/s21Sye1jM0MTNu/dTurD6EHIHHTpQBeorPtbCS2ud41G8kQcCGZ0ZT+O3d+tRS2ushybXVLcAnO24sy+BnplXWgDWorPvH1VFjNjDaXJ2/OJZmgGfbCP+X60RXF8tlJLc2I85OVht5w/mdDwzBR69cfhQBfwPSlrNtNSlmkRJ9NvbZm/56qpA+pRmFJPrWn20siXM72/l9XmieNPwZhtP1BoA0qAAOgqsL61MUcguofLk5jbzBhqmDBuh64oAkopq9Dzn3p1ABRRRQAUUUUAFFFFABRRRQAUUUxyRnrj2FAD6Kq2t9a3m8Wl1FPsOGMUitg/h0qx3xk5xQA6ikHtS0AFFFFABRRRQAUUUUAFeffFj/mV/wDsMw/1r0GvPvix/wAyv/2GYf60AegCigUUALXC/GX/AJJvff8AXWL/ANDFd1XC/GX/AJJvff8AXWL/ANDFAHa2/wDx7Rf7g/lUtRW//HtF/uD+VS0AFFFNbj8fegB1FIO/saWgArN1XVodMePz4L51cfftrSSYL9dgOPxFaVFAHPnxdoSqTPfG1Gf+XqGSDHP+2oxVu31/RLwn7LrFhP7R3SN29jWpVS60zT7wEXdha3AbqJYVbP5igCypVhlGBBHBBzS/7wGe1YbeD/Dm4tHo9pAxH3rePyT+aYNJ/wAIrYxgC2vdWtsdAmpzkfkzEfpQBvfzoAA6CsD+wb+M5tfE+qr3xIsEi/rHn9aDZeJY8mDXLKUDjFxpzEn8VkX+VAG/RtGMYGKwPM8WRNza6PdKDzi4lgJ/Ao9KdV12LaZvDbycfN9lvY3A/wC/mygDeIB6gHHPNVTYWfmq4tIN64w3lgEY2kc/VE/75HoKyv8AhJHQE3OhazBj/p1Ev6RM2axdV8VLY3b6haz3UluAPtNhe2c0BAAPzRO6ABvVScH1U9QDrlsIE27PNULjAWZ1HG3HAPP3R+o6E0C0ZVURXdwoGON4fOAO7AnkD9SevIg0LWNP1/TEv9MnE8Dkg54ZSOoI7Hnp71pDkUAVPKu1UbbpWwQCZIskjjPQgZxn8TnHGKUC9VeWt5DwCRuQHpn1x3/SrQAHQUUAVRLdqv722DnuIpQf57aUXLYJe2nXnsA2PyJqzgYxjiloAyb4WV1dWVxcPPGbGbzk3RlFLFHTncORhz071j/8I5YeZqz2WohJr24hmUcMsDxSmQDbkZUybiRkHk11tNeKOQYkjRh6MoPt/U/nQBzd3oN5fG4uLm4t2nuZbVWWNSqLDDN5hHOdzNl/QfMB2yV1rTbq4vNYuktY52fSPs9qhxl3JkLrz0B/dj/9VbbWFlz/AKLEpYEErGATnPp9W/M0jWce5irzo5zkiZ8A89s4z83p6egoA5mfTv7FkuZtO01jHBpawsI1x5zFznO0biVALHHPzHHJ5pKJzBfwojpbS6hZRIvlSRIf3imUqrnIG3qRwcV2JtpwWK3swyDtDBGAPzc8rk9R3/hHvkaO85MV1D3wHhJ67sZIYdynPoG/vAgAy/EMFve61oFldRxyR/aJJ2SVQQ4WJlHB4PMin8BWPbanHpE99b6Sheyl1Bbe2WKN5Y4mEO+XYic7QV+6vRiRxzjotSsmv4PLvNK07UIl3FUuD/vEDDIQDxGPxY/wgFLy0ikso7VtLkEMDloRbSLEY9u7BQhl2nAA47Pg8bqAKMHiC/eC1jGmPJdz3MkAD7rdSqoW8zDgsoPHYnnvxlsniS7ZtMW10yWZp7qe3uUjkQmPyg4bBZlz8yg54+XtnApuoabI+o6e6T6laQWMVxiZC0029iCMbg4YbUfhs/eQAZ6SDTrWwawktdQFv9heVpWu0J80SEtIWJK4YlXO4cDJ4xQA/TfEMcuoXdrdPKpN89vbt5L7PlH3d+NpOQ/f0FdEhyM8/j2rnYdMQQ2MEV7DIkGpy3kxJGX3NK4Ue4dh6fdNdEM9+uaAHVxfxd/5Jjq//bH/ANHJXZiuM+Lv/JMdX/7Y/wDo5KAOvtv+PaL/AHB/KpagsiTY25JyTGvP4VPQAUUUUAJS0UUANY84zj+dA5HI71Q1TR7DVjH9vgMjR58tlkaNlz1wVINZ6+FbNMfZL/V7YAYAXUpmA/B2I7UAdBRXPjQtTix9n8UamOfuzxQSA+3+rB/Wg2fiiIt5OtadNjoJ9Ofjp3WUfyoA6CgADoKwDL4qiJzZ6RdJjqt3LCSc+hjYD86P7W1yIj7R4Zmf1NreQuP/AB8p/KgDbnt4LlNtxDHKvpIgYfrVS30fTLNZksbC1tfPGJfIiWMv7nbjNZw8TGMZutD1m39c2fm4/wC/Zal/4S/RFyZ7ie1AOCbq0mhH5uooAtRaHawXQlhmv1YENtOoTMpwckbGcr+lOuNPu5Lp5oNZvIUbgQBImjUjA7pu/wDHqit/EugXZCW+t6dKTwAt0hP5ZrVjkjmQNE6up5BDZFAFKSPUBaJHDdwm5VvmklhJDjn+FWGOcfkadaNqXmML2O1WMD5XhlYkn0KkD88n6VW1HWk0u/SPUIXgspANl6eYg+fuOf4M8YJ47ZBxnWT7v9cYoAyf7R1GMosuh3T5IBa3niYL7nc6n9DU19qsNhIEnhvWyAd0FnLOP/HFODxWjgccdKWgCgdUslsWvJrgW1svBluQYQv134x+NOs9Rsb0A2d7Bcg85ilV88Z7GrlR/Z4PO80Qx+bjG/aN2PrQA8A/3silH1rMk0LS2ZitosJJ3FrdmiJP/ACDUt1p/niPbd3VuY1wDDIRn6g5B/GgC/XP+Nc/8I5MG3eQ0kS3JXqsBkXzT9Nm7PtmtCCyu7e0mhGqXFxKxzHNcRxkx+2EVQR9eeevSo7aHWEuR9svbKeDpiOzeNwPqZGB/KgDL1e8tYbAS+HpLD7eZba3jeMK+xHlVQCF527d5HTocYqprt7qdvDrENtPE17a6dGY7rySCZJZJVAADYBG0Y9CefStl11CKZxHo+nyWwcPGUuMOSOhKmPAPvupmqQwyWsgn0e5uDeRgXH2d1DJt+7zvU5Gcjbk0AQ3esHT72T7cGea2s1kdIH+V2kk2IoQ4yzMuASeMkcZq+L68W23SaVdeaH2CKKSNtwxnduLAAduSDnseKzWs7C/gvmlTUYJBBCryPC+9fJZnjZcgh2DEngHoMjnmldyaff3NhHL4hsZrhJGQW99EpWYvtAAiynzAjg8/eb1GADXt9aF5qelx2mTb3lpLckupDAKYgOPq5/Ki71maDVLm2g065uktIY5ZTAy7vmL8BWIyQFzwc896i0PRhp01mn2mOf7BYLZ4AAbcSpZiO2dqnHNRldWs9U1eW1sFuGu3Q28rzKqKFiVf3n8Q+YMflU0AbdhdQ31jBd2s3mwToskb4xuUjIPt+NWBn8evWvPNR0I2ot7G7DTWkOnRW1rP/Zsl35co3h3CxndG/KHPHbB44XWbvF3rdu2pXo1O0t4obBIpnjWW48rcMKDtckumVOeMZGDQB6A7BcktgLyTnpRDIk0SyROrxuMqynIIPoa4fUWe3ufGGpi6l863sBG0BYFTiFnXjGQMucYPJzW5ozX1nqR0i7ninjhsonVo4jHtJZl2jk8YXjv15oA6CvPvix/zK//AGGYf616AK8/+LH/ADK//YZh/rQB6AKKBRQAtcL8Zf8Akm99/wBdYv8A0MV3VcL8Zf8Akm99/wBdYv8A0MUAdrb/APHtF/uD+VS1Fb/8e0X+4P5VLQAVVvrOG9i8q4DlMggpIUIPsykGrVJQBQstMhsGZ4J7tlYYxPeSTDrnjexxVePTdQhAK67dvjHFxFCwA9PlRT+ZJrXoAA6CgChdR6qZg1nPaeVtGYpoX3FucneG4GMcYP1pVk1JbJnltYGuVPCRzkqw9clRz7frV6loAzrW+u5rryJ9JurcYz5zSRMn04fd/wCO1FLrltHP5M0F+jZK5+wTMp/4EFK/jmtUgEYIyKWgDPvNX06wMQvtQtrUzAGMTyrGW+m481ZgnhnjDwTJNHk/Oj7h+YqaoJLKzkt5IJLWFoZfvo0Y2t9R3oAmBySORSjkVn2+j2FrNHLawmEx8qsUjKnT+6Dg/lTLjSnkkd4dU1C2Z2J/dyKwX6B1YD8qANSkqhNb34toEtNQUSpw0lzCJPM46kKUx+FJaJqscEou7m0uZgv7sxwPCN3uC7cdOnvQBfP4568ViXWgJqNzJJq17PdWxOUs92yAD0ZVx5n/AAIke3rPBca0XRbvTbVVLYZre9Mm0ZHPzRpnuePTvT5tRmt7l430y+aJcYnjVHVuOwDb/blR09KAL1vFFBCsNvEkUUY2rGihQoA4AA6VLWe+p28VlHdXAmijkOAHicEdeoxkdO9JZ6vp19O0FnqFvNMi5aOOUMyj1IznHvigDRoqKKaOaNXjcOp5BVsj9KeO/U/zoAdRSD9KD16/hQAhPPf8KVc1zC2dtrPibV49ViW4WyaGO2gmyVVSgcyAepYsM/7GBQdUurQ6rGiw/wBm6PFtd3mcytiBZOpHbcvzEnOexGSAdPRXM2erX0Wsz2c1uv2GzsIZnlM5eQFg/LZAyf3ZHBPUHvgWLTXYttnb4vLm4e3ilmYW+THv6F9owCSDwucY9KAN7aPQUEA9Rms+LVbWTUjYh5UuFJAEsLor467WYBW/4CT0qtb65G3hX+3blSlutu9wRGdx2AFuM9SQKANqkAA6Csy01iC6ufsrJPbXWzf5Nwnltt7kE8MAcA7c4yM9RWkmcHI5zQAtGB6dKCfwxTGYh1HqO1ACSQwyAiSJHBGDuQHIpsVrbxOWhhSM/wCwoHfJ6e5zUq9Oucd6WgAHH0rjPi7/AMkx1f8A7Y/+jkrtK434tIX+GesAHtEfylQ0AdXZf8eFv/1yX+VT1Xsf+PC3Gc4iX+QqxQAUhx3paSgCpcXjQXBR7W4aMIX82MBh/u4B3E/Qd/yhXVrXA80XUWY/MJktpVCjnqSuB0PGc9PatKkoAoRatp80oij1C2aRoxIIxMudn97Gc44PNW1kR1DoVZTyGB4PvmnSRxyqVlRXUjBDDIIqm+j6Y0xmOn2wlMZj8xYQH2f3dwGce1AF0ZGfX370uOMcY9Kz20i13ZR7qLEZjAiupVUD12hsbvfGaR7CZctFql5GBFsCt5bAH+9llJLfjj1oA0aWs02+pKCIb+Fx5WFMtuSS/wDeJVgMe3FI76vFnZHZznYNu6V4gz8Z/hbA6nufrQBp0VmG7vo1YvpskhWMPiCdWLMcZQbtvQ5wTgHHOKP7TMcbNPZXsWyMSMPJ80jOPlGwtlhnBAznBxmgC3cWNpdAi5tYJgevmRhv51kyeEfDZcMuh6fG/YxQLG35rg1abWLBYmknma3RYxI32iNogFOOpYDBG4ZHUZGRU8OpWNwzCC9t5G2q+ElU/IwBU8djkEH3FAHIal4amuriax0izu7OA/K93c6pOYiDjIWFXO8dsNtH1rovC2iDw9okWnrfXN6secPcMCR7LjovoOcVqhlZc7gwYcHPX/PH509e/wBaAFHTv+NLSUtABSUtFABSYHHHSlooATA9BxRgc8dayfEurPo2kteRWj3cgkRFgR9pfLYOD6gZP4VJb6rbXV7HbwM8iy2oulmXGzYThTnPfr0x1oA06TA446UxWBXO4EexzinigAwPSloprfXHuKAKN7oulX8gkvtLs7mQY+eaBXIx05IpJ9KtJbBLMLLDbx8oLad4SP8AgSFTj2zWgOecUUAUbXT1tWfy7i7ZWXG2WYybfcFsn9TVKy0e7sZZntdUdzcyiWdriFXMjBVTPy7QPlRfb29duigDJ1K0uJZ3khtdNuEePy2W5QhsZyQWwcqfTFOjN3HFJeT6dAdQdVjdLactuRSxUbmVehZu3etTAznAzRQBVsJ5riBmmsZrNlYqI5mQlgMYI2Mwx29eOlcT8V/+ZX/7DMP9a9Arz/4sf8yv/wBhmH+tAHoAooFFAC1wvxl/5Jvff9dYv/QxXdVwvxl/5Jvff9dYv/QxQB2tv/x7Rf7g/lUtRW//AB7Rf7g/lT2baCT0oAdRVS6vYraB5nErIgyyxRNIxHsq5J/AVQHiXStgaa6a2GOftMMkBH/faigDaorNs9b0m9H+iapZzgn/AJZXKNn6YNX9wPc46+mKAH1zXivxfZ+F5rVLuzvrk3KsV+yxBwoUjO7JHr+hrowfp+dLQB59H8XfCpYq8t5Hj+/AefyJq0nxV8HHGdVdeOhtZTj/AMdrt2VWGGAI9CKry6fZTZ82zt5M9d0SnP6UAczF8SPCEi7l1qMDOBvikXPT1WrieN/C7t8uv2AwOrTAZ/WrsvhrQJsedoemyY6b7SM4/Sqz+DfDD7gfD+m8+lqi/wAhQA4eLvDTDI8QaX9DeR5/nVtNc0hzhdUsmJPAFwhz+tZMngDwlIQX0K1yP7oK/wAjVV/hh4LdyTooBPPy3EwH6NigDpl1GyJwLy33E9pF5/WphPCfvSxn05FcafhZ4MzxpTHPOBdS/wDxVRt8JfCDHIs519luH/qaAO3M8HUyx8erCgTw9BInHH3hXDf8Kj8I/wDPrc/+BDUo+EnhDH/HpcH/ALeGoA7V720jI8y4hQn+9IB/Ws+fxJoUCgXGs6dEDwA90i/zNc8nwp8HJ97TJZOc5a5k/owq3B8N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the critical depth of a channel","description":"Problem statement\r\nWrite a function to compute the critical depth of a channel with discharge . The unit system will be specified in units as either ‘SI’ or ‘USCS’ (U.S. customary system); take the acceleration of gravity  to be either 9.81  or 32.2 . The geometry of the channel’s cross section will be specified by a structure channelStruct as in Cody Problem 58314.\r\nBackground\r\nSpecific energy for a flow is , where  is the water depth and  is the velocity averaged over the cross section. The critical depth is the depth of minimum specific energy. Using the definition of the average velocity  and differentiating with respect to depth gives\r\n\r\nThen using the definition of the top width  gives the condition for the critical depth in terms of a dimensionless parameter called the Froude number :\r\n\r\nFlows with depths smaller than critical are supercritical—fast and shallow (), and flows with depths greater than critical are subcritical—deep and slow (). A flow changes from supercritical to subcritical with a hydraulic jump, which can be observed in the field, in the laboratory, and even in a kitchen sink. ","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: 409.2px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 204.6px; transform-origin: 407px 204.6px; 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: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 226.642px 8px; transform-origin: 226.642px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function to compute the critical depth of a channel with discharge \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);\"\u003eQ\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: 139.633px 8px; transform-origin: 139.633px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The unit system will be specified in units as either ‘SI’ or ‘USCS’ (U.S. customary system); take the acceleration of gravity \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);\"\u003eg\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: 54.45px 8px; transform-origin: 54.45px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e to be either 9.81 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"m/s2\" style=\"width: 33px; height: 19.5px;\" width=\"33\" height=\"19.5\"\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: 25.6667px 8px; transform-origin: 25.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e or 32.2 \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"ft/s2\" style=\"width: 30.5px; height: 19.5px;\" width=\"30.5\" height=\"19.5\"\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: 17.8833px 8px; transform-origin: 17.8833px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. The geometry of the channel’s cross section will be specified by a structure channelStruct as in \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.mathworks.com/matlabcentral/cody/problems/58314-compute-the-normal-depth-of-a-channel\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003eCody Problem 58314\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 1.94167px 8px; transform-origin: 1.94167px 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: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 87.125px 8px; transform-origin: 87.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSpecific energy for a flow is \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"E = y + V^2/2g\" style=\"width: 95px; height: 19.5px;\" width=\"95\" height=\"19.5\"\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: 24.8917px 8px; transform-origin: 24.8917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, where \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);\"\u003ey\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: 72.7333px 8px; transform-origin: 72.7333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the water depth and \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);\"\u003eV\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: 122.908px 8px; transform-origin: 122.908px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the velocity averaged over the cross section. The critical depth is the depth of minimum specific energy. Using the definition of the average velocity \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"V = Q/A\" style=\"width: 61.5px; height: 18.5px;\" width=\"61.5\" height=\"18.5\"\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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and differentiating with respect to depth gives\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.6px; 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 18.3px; text-align: left; transform-origin: 384px 18.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg 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\" alt=\"dE/dy = 0 = 1+(-2) (Q^2/2gA^3)dA/dy = 1-(Q^2/gA^3)dA/dy\" style=\"width: 257.5px; height: 36.5px;\" width=\"257.5\" height=\"36.5\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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: 127.583px 8px; transform-origin: 127.583px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThen using the definition of the top width \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"T = dA/dy\" style=\"width: 70px; height: 18.5px;\" width=\"70\" height=\"18.5\"\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: 211.6px 8px; transform-origin: 211.6px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e gives the condition for the critical depth in terms of a dimensionless parameter called the Froude number \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Fr\" style=\"width: 18px; height: 18px;\" width=\"18\" 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: 1.94167px 8px; transform-origin: 1.94167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e:\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 36.6px; 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 18.3px; text-align: left; transform-origin: 384px 18.3px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-16px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Fr^2 = Q^2T/gA^3 = 1\" style=\"width: 95.5px; height: 36.5px;\" width=\"95.5\" height=\"36.5\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 230.283px 8px; transform-origin: 230.283px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eFlows with depths smaller than critical are supercritical—fast and shallow (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Fr \u003e 1\" style=\"width: 44px; height: 18px;\" width=\"44\" 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: 114.742px 8px; transform-origin: 114.742px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e), and flows with depths greater than critical are subcritical—deep and slow (\u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Fr \u003c 1\" style=\"width: 44px; height: 18px;\" width=\"44\" 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: 240.533px 8px; transform-origin: 240.533px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e). A flow changes from supercritical to subcritical with a hydraulic jump, which can be observed in the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://www.youtube.com/watch?v=qsC9FUYpHqU\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"\"\u003efield\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 22.9417px 8px; transform-origin: 22.9417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, in the \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://youtu.be/5etwhZ0d2GU?t=373\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003elaboratory\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 47.8417px 8px; transform-origin: 47.8417px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e, and even in a \u003c/span\u003e\u003c/span\u003e\u003ca target='_blank' href = \"https://youtu.be/OoA1ASjMfag?t=24\"\u003e\u003cspan style=\"\"\u003e\u003cspan style=\"text-decoration-line: underline; \"\u003ekitchen sink\u003c/span\u003e\u003c/span\u003e\u003c/a\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: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function yc = criticalDepth(Q,units,channelStruct)\r\n  g = 9.81*(units=='SI') + 32.2*(units=='USCS');\r\n  yc = solve(Q^2*T/(g*A^3)==1,y)\r\nend","test_suite":"%%\r\nQ = 12;                                     %  Discharge (m3/s)\r\nunits = 'SI';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 20;                   %  Width (m)\r\nyc_correct = 0.33;                          %  Critical depth (m)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nunits = 'SI';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 10;                   %  Width (m)\r\nyc_correct = 0.74;                          %  Critical depth (m)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 400;                                    %  Discharge (cfs)\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'rectangular'; \r\nchannelStruct.size1 = 50;                   %  Width (ft)\r\nyc_correct = 1.26;                          %  Critical depth (ft)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 8;                    %  Width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\nyc_correct = 0.82;                          %  Critical depth (m)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 20;                                     %  Discharge (m3/s)\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 8;                    %  Bottom width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\nyc_correct = 0.82;                          %  Critical depth (m)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 45;                                     %  Discharge (m3/s)\r\nunits = 'SI';                 \r\nchannelStruct.type = 'trapezoidal'; \r\nchannelStruct.size1 = 1.7;                  %  Bottom width (m)\r\nchannelStruct.size2 = 1.5;                  %  Side slope\r\nyc_correct = 2.34;                          %  Critical depth (m)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%  \r\nQ = 45;                                     %  Discharge (m3/s)\r\nunits = 'SI';                 \r\nchannelStruct.type = 'triangular'; \r\nchannelStruct.size1 = 1.5;                  %  Side slope\r\nyc_correct = 2.84;                          %  Critical depth (m)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 14;                                     %  Discharge (cfs)\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'triangular'; \r\nchannelStruct.size1 = 1;                    %  Side slope\r\nyc_correct = 1.65;                          %  Critical depth (ft)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%\r\nQ = 250;                                    %  Discharge (cfs)\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'circular'; \r\nchannelStruct.size1 = 10;                   %  Diameter (ft)\r\nyc_correct = 3.72;                          %  Critical depth (ft)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)\r\n\r\n%%  \r\nQ = 8;                                      %  Discharge (cfs)\r\nunits = 'USCS';                 \r\nchannelStruct.type = 'circular'; \r\nchannelStruct.size1 = 1.5;                  %  Diameter (ft)\r\nyc_correct = 1.1;                           %  Critical depth (ft)\r\nyc = criticalDepth(Q,units,channelStruct);\r\nassert(abs(yc-yc_correct)\u003c0.01)","published":true,"deleted":false,"likes_count":1,"comments_count":0,"created_by":46909,"edited_by":46909,"edited_at":"2023-05-18T13:28:20.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-05-18T13:25:33.000Z","updated_at":"2023-05-18T13:28:20.000Z","published_at":"2023-05-18T13:28:20.000Z","restored_at":null,"restored_by":null,"spam":null,"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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\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\u003eWrite a function to compute the critical depth of a channel with discharge \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The unit system will be specified in units as either ‘SI’ or ‘USCS’ (U.S. customary system); take the acceleration of gravity \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"g\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eg\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e to be either 9.81 \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"m/s2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rm m/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e or 32.2 \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"ft/s2\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\rm ft/s^2\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e. The geometry of the channel’s cross section will be specified by a structure channelStruct as in \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.mathworks.com/matlabcentral/cody/problems/58314-compute-the-normal-depth-of-a-channel\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eCody Problem 58314\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\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\u003eSpecific energy for a flow is \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"E = y + V^2/2g\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eE = y + V^2/2g\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e, where \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"y\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003ey\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the water depth and \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"V\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the velocity averaged over the cross section. The critical depth is the depth of minimum specific energy. Using the definition of the average velocity \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"V = Q/A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eV = Q/A\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and differentiating with respect to depth gives\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=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"dE/dy = 0 = 1+(-2) (Q^2/2gA^3)dA/dy = 1-(Q^2/gA^3)dA/dy\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003e\\\\frac{dE}{dy} = 0 = 1 + (-2)\\\\frac{Q^2}{2gA^3}\\\\frac{dA}{dy} = 1-\\\\frac{Q^2}{gA^3}\\\\frac{dA}{dy}\u003c/w:t\u003e\u003c/w:r\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\u003eThen using the definition of the top width \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"T = dA/dy\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eT = dA/dy\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e gives the condition for the critical depth in terms of a dimensionless parameter called the Froude number \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Fr\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eFr\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:customXml w:element=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Fr^2 = Q^2T/gA^3 = 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eFr^2 = \\\\frac{Q^2T}{gA^3} = 1\u003c/w:t\u003e\u003c/w:r\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\u003eFlows with depths smaller than critical are supercritical—fast and shallow (\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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Fr \u0026gt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eFr \u0026gt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e), and flows with depths greater than critical are subcritical—deep and slow (\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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Fr \u0026lt; 1\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eFr \u0026lt; 1\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e). A flow changes from supercritical to subcritical with a hydraulic jump, which can be observed in the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://www.youtube.com/watch?v=qsC9FUYpHqU\\\"\u003e\u003cw:r\u003e\u003cw:t\u003efield\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, in the \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://youtu.be/5etwhZ0d2GU?t=373\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003elaboratory\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e, and even in a \u003c/w:t\u003e\u003c/w:r\u003e\u003cw:hyperlink w:docLocation=\\\"https://youtu.be/OoA1ASjMfag?t=24\\\"\u003e\u003cw:r\u003e\u003cw:rPr\u003e\u003cw:u/\u003e\u003c/w:rPr\u003e\u003cw:t\u003ekitchen sink\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:hyperlink\u003e\u003cw:r\u003e\u003cw:t\u003e. \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":57969,"title":"Compute flow in a partially full pipe","description":"Problem statement\r\nWhen does the maximum flow occur in a pipe? Intuition might suggest that it occurs when the pipe is flowing full—i.e., when the depth of flow  equals the diameter  of the pipe. \r\nWrite a function that takes the ratio  and produces the flow rate as a fraction of the value for a full pipe. For example, when the input is 1/2, the output should be 1/2, and when the input is 1, the output should be 1. Assume that Manning’s equation applies and Manning’s roughness coefficient is constant. \r\nSee Test 13 for the answer to the initial question.\r\nBackground\r\nSteady uniform flow in a channel is often computed with Manning’s equation, which results from a balance between the component of the fluid’s weight in the flow direction and friction on the walls of the channel. The shear stress on the channel walls is computed with an empirical relation. Manning’s equation for the flow  is\r\n\r\nwhere  is Manning’s roughness coefficient,  is the hydraulic radius,  is the slope of the channel,  is the cross-sectional area of the flow, and  is the wetted perimeter (i.e., the perimeter of the solid wall of the channel that is touching the water.) The coefficient  is 1 for SI units and 1.5 (or 1.49) for U.S. customary units. ","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: 392.8px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 196.4px; transform-origin: 407px 196.4px; 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: 63.0083px 8px; transform-origin: 63.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eProblem statement\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; 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 21px; text-align: left; transform-origin: 384px 21px; 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: 384px 8px; transform-origin: 384px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWhen does the maximum flow occur in a pipe? Intuition might suggest that it occurs when the pipe is flowing full—i.e., when the depth of flow \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);\"\u003eh\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: 65.35px 8px; transform-origin: 65.35px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e equals the diameter \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);\"\u003eD\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: 38.5px 8px; transform-origin: 38.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e of the pipe. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 109.933px 8px; transform-origin: 109.933px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eWrite a function that takes the ratio \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"h/D\" style=\"width: 29.5px; height: 18.5px;\" width=\"29.5\" height=\"18.5\"\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: 251.258px 8px; transform-origin: 251.258px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e and produces the flow rate as a fraction of the value for a full pipe. For example, when the input is 1/2, the output should be 1/2, and when the input is 1, the output should be 1. Assume that Manning’s equation applies and Manning’s roughness coefficient is constant. \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: 150.917px 8px; transform-origin: 150.917px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSee Test 13 for the answer to the initial question.\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: 40.8333px 8px; transform-origin: 40.8333px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"font-weight: 700; \"\u003eBackground\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 63px; 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 31.5px; text-align: left; transform-origin: 384px 31.5px; 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: 369.8px 8px; transform-origin: 369.8px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSteady uniform flow in a channel is often computed with Manning’s equation, which results from a balance between the component of the fluid’s weight in the flow direction and friction on the walls of the channel. The shear stress on the channel walls is computed with an empirical relation. Manning’s equation for the flow \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);\"\u003eQ\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: 7px 8px; transform-origin: 7px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 34.8px; 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 17.4px; text-align: left; transform-origin: 384px 17.4px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan style=\"vertical-align:-15px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"Q = (C/n)R^(2/3)S0^(1/2)A\" style=\"width: 105.5px; height: 35px;\" width=\"105.5\" height=\"35\"\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 64px; 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 32px; text-align: left; transform-origin: 384px 32px; 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: 21.0083px 8px; transform-origin: 21.0083px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003ewhere \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);\"\u003en\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: 112.55px 8px; transform-origin: 112.55px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is Manning’s roughness coefficient, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-5px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"R = A/P\" style=\"width: 59px; height: 18.5px;\" width=\"59\" height=\"18.5\"\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: 73.5167px 8px; transform-origin: 73.5167px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the hydraulic radius, \u003c/span\u003e\u003c/span\u003e\u003cspan style=\"vertical-align:-6px\"\u003e\u003cimg src=\"data:image/png;base64,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\" alt=\"S0\" style=\"width: 15.5px; height: 20px;\" width=\"15.5\" 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: 87.125px 8px; transform-origin: 87.125px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the slope of the channel, \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);\"\u003eA\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: 39.6667px 8px; transform-origin: 39.6667px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the cross-sectional area of the flow, and \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);\"\u003eP\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: 278.1px 8px; transform-origin: 278.1px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is the wetted perimeter (i.e., the perimeter of the solid wall of the channel that is touching the water.) The coefficient \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);\"\u003eC\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: 182.383px 8px; transform-origin: 182.383px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e is 1 for SI units and 1.5 (or 1.49) for U.S. customary units. \u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function f = pipeFlow(hoverD)\r\n  f = hoverD.^2;\r\nend","test_suite":"%%\r\nhoverD = 1;\r\nf_correct = 1;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.9;\r\nf_correct = 1.06580;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.8;\r\nf_correct = 0.97747;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.75;\r\nf_correct = 0.91188;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.6;\r\nf_correct = 0.67184;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.5;\r\nf_correct = 0.5;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.4;\r\nf_correct = 0.33699;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.3;\r\nf_correct = 0.19583;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.2;\r\nf_correct = 0.08757;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0.1;\r\nf_correct = 0.02088;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = 0;\r\nf_correct = 0;\r\nassert(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4)\r\n\r\n%%\r\nhoverD = (1:6)/7;\r\nf_correct = [0.04395 0.17812 0.38187 0.62268 0.85931 1.03672];\r\nassert(all(abs(pipeFlow(hoverD)-f_correct)\u003c1e-4))\r\n\r\n%%\r\ng = @(x) -pipeFlow(x); \r\nhoverD_max = fminsearch(g,0.9);\r\nhoverD_max_correct = 0.93817;\r\nassert(abs(hoverD_max-hoverD_max_correct)\u003c1e-4)\r\n\r\n%%\r\nfiletext = fileread('pipeFlow.m');\r\nillegal = contains(filetext, 'assignin') || contains(filetext, 'assert'); \r\nassert(~illegal)","published":true,"deleted":false,"likes_count":1,"comments_count":9,"created_by":46909,"edited_by":46909,"edited_at":"2023-04-08T16:02:01.000Z","deleted_by":null,"deleted_at":null,"solvers_count":5,"test_suite_updated_at":null,"rescore_all_solutions":false,"group_id":1,"created_at":"2023-04-08T12:50:01.000Z","updated_at":"2023-04-08T16:02:01.000Z","published_at":"2023-04-08T12:50:08.000Z","restored_at":null,"restored_by":null,"spam":null,"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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eProblem statement\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\u003eWhen does the maximum flow occur in a pipe? Intuition might suggest that it occurs when the pipe is flowing full—i.e., when the depth of flow \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e equals the diameter \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"D\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eD\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e of the pipe. \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\u003eWrite a function that takes the ratio \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"h/D\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eh/D\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e and produces the flow rate as a fraction of the value for a full pipe. For example, when the input is 1/2, the output should be 1/2, and when the input is 1, the output should be 1. Assume that Manning’s equation applies and Manning’s roughness coefficient is 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\u003eSee Test 13 for the answer to the initial question.\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:rPr\u003e\u003cw:b/\u003e\u003c/w:rPr\u003e\u003cw:t\u003eBackground\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\u003eSteady uniform flow in a channel is often computed with Manning’s equation, which results from a balance between the component of the fluid’s weight in the flow direction and friction on the walls of the channel. The shear stress on the channel walls is computed with an empirical relation. Manning’s equation for the flow \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is\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=\\\"equation\\\"\u003e\u003cw:customXmlPr\u003e\u003cw:attr w:name=\\\"displayStyle\\\" w:val=\\\"true\\\"/\u003e\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"Q = (C/n)R^(2/3)S0^(1/2)A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eQ = \\\\frac{C}{n}R^{2/3}S_0^{1/2}A\u003c/w:t\u003e\u003c/w:r\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\u003ewhere \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\u003en\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is Manning’s roughness coefficient, \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"R = A/P\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eR=A/P\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the hydraulic radius, \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"S0\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eS_0\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the slope of the channel, \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"A\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eA\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the cross-sectional area of the flow, and \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"P\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eP\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is the wetted perimeter (i.e., the perimeter of the solid wall of the channel that is touching the water.) The coefficient \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\u003cw:attr w:name=\\\"altTextString\\\" w:val=\\\"C\\\"/\u003e\u003c/w:customXmlPr\u003e\u003cw:r\u003e\u003cw:t\u003eC\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:customXml\u003e\u003cw:r\u003e\u003cw:t\u003e is 1 for SI units and 1.5 (or 1.49) for U.S. customary units. \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\"}]}"}],"term":"tag:\"hydraulics\"","current_player_id":null,"fields":[{"name":"page","type":"integer","callback":null,"default":1,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"per_page","type":"integer","callback":null,"default":50,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"sort","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":null,"prepend":true},{"name":"body","type":"text","callback":null,"default":"*:*","directive":null,"facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":false},{"name":"group","type":"string","callback":null,"default":null,"directive":"group","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"difficulty_rating_bin","type":"string","callback":null,"default":null,"directive":"difficulty_rating_bin","facet":true,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"id","type":"integer","callback":null,"default":null,"directive":"id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"tag","type":"string","callback":null,"default":null,"directive":"tag","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"product","type":"string","callback":null,"default":null,"directive":"product","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_at","type":"timeframe","callback":{},"default":null,"directive":"created_at","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"profile_id","type":"integer","callback":null,"default":null,"directive":"author_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"created_by","type":"string","callback":null,"default":null,"directive":"author","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player_id","type":"integer","callback":null,"default":null,"directive":"solver_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"player","type":"string","callback":null,"default":null,"directive":"solver","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"solvers_count","type":"integer","callback":null,"default":null,"directive":"solvers_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"comments_count","type":"integer","callback":null,"default":null,"directive":"comments_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"likes_count","type":"integer","callback":null,"default":null,"directive":"likes_count","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leader_id","type":"integer","callback":null,"default":null,"directive":"leader_id","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true},{"name":"leading_solution","type":"integer","callback":null,"default":null,"directive":"leading_solution","facet":null,"facet_method":"and","operator":null,"param":"term","static":null,"prepend":true}],"filters":[{"name":"asset_type","type":"string","callback":null,"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":null,"static":"\"cody:problem\"","prepend":true},{"name":"profile_id","type":"integer","callback":{},"default":null,"directive":null,"facet":null,"facet_method":"and","operator":null,"param":"author_id","static":null,"prepend":true}],"query":{"params":{"per_page":50,"term":"tag:\"hydraulics\"","current_player":null,"sort":"map(difficulty_value,0,0,999) asc"},"parser":"MathWorks::Search::Solr::QueryParser","directives":{"term":{"directives":{"tag":[["tag:\"hydraulics\"","","\"","hydraulics","\""]]}}},"facets":{"#\u003cMathWorks::Search::Field:0x00007f0f2da8cd00\u003e":null,"#\u003cMathWorks::Search::Field:0x00007f0f2da8cc60\u003e":null},"filters":{"#\u003cMathWorks::Search::Field:0x00007f0f2da8c3a0\u003e":"\"cody:problem\""},"fields":{"#\u003cMathWorks::Search::Field:0x00007f0f2da8cf80\u003e":1,"#\u003cMathWorks::Search::Field:0x00007f0f2da8cee0\u003e":50,"#\u003cMathWorks::Search::Field:0x00007f0f2da8ce40\u003e":"map(difficulty_value,0,0,999) 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