Problem 58314. Compute the normal depth of a channel

Created by ChrisR

Solve Later

{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>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. </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>As described in </w:t></w:r><w:hyperlink w:docLocation=\"https://www.mathworks.com/matlabcentral/cody/problems/57969\"><w:r><w:t>Cody Problem 57969</w:t></w:r></w:hyperlink><w:r><w:t>, the </w:t></w:r><w:r><w:rPr><w:i/></w:rPr><w:t>normal depth</w:t></w:r><w:r><w:t>, or depth of flow in this state, can by computed from Manning’s equation for the discharge (or flow) </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"Q\"/></w:customXmlPr><w:r><w:t>Q</w:t></w:r></w:customXml><w:r><w:t>):</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/><w:attr w:name=\"altTextString\" w:val=\"Q = (C/n) R^(2/3) S0^(1/2) A\"/></w:customXmlPr><w:r><w:t>Q = \\frac{C}{n} R^{2/3} S_0^{1/2} A</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>where </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"n\"/></w:customXmlPr><w:r><w:t>n</w:t></w:r></w:customXml><w:r><w:t> is Manning’s roughness coefficient, </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"R = A/P\"/></w:customXmlPr><w:r><w:t>R = A/P</w:t></w:r></w:customXml><w:r><w:t> is the hydraulic radius, </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"S0\"/></w:customXmlPr><w:r><w:t>S_0</w:t></w:r></w:customXml><w:r><w:t> is the slope of the channel,</w:t></w:r><w:r><w:t> </w:t></w:r><w:r><w:t>and </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"A\"/></w:customXmlPr><w:r><w:t>A</w:t></w:r></w:customXml><w:r><w:t> is the cross-sectional area of the flow. The coefficient </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"C\"/></w:customXmlPr><w:r><w:t>C</w:t></w:r></w:customXml><w:r><w:t> is 1 for SI units and 1.49 for U.S. customary units.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Write 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 </w:t></w:r><w:r><w:rPr><w:rFonts w:cs=\"monospace\"/></w:rPr><w:t>channelStruct</w:t></w:r><w:r><w:t> with the following fields and possible values:</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"124\"/><w:attr w:name=\"width\" w:val=\"435\"/><w:attr w:name=\"verticalAlign\" w:val=\"baseline\"/><w:attr w:name=\"altText\" w:val=\"\"/><w:attr w:name=\"relationshipId\" w:val=\"rId1\"/></w:customXmlPr></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>The 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. </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml 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FrgUAACA3qMzDB1smcUMQAACgDbVrkEvI6gIAAKj30W9XmgMvLHZbDekmoPpGAAAAaL4ubtluVH9r0K2/Mf1Hftu11FPdrnc3zrDZXrqjCQAAkK3U13n7qUmRAS7d+FPdUgJcyFVlZWVuDUAu43cBWqvdM7mCKg+/aMq2lsROiz1o6hOmZ99RrgXtYdrCn5nDRyrcVvN073G+eWktM2QCANBcx/aut5ntUTQxz8U3PEEJB+SklStXmqVLl5pFixaZ+++/37UCyFVz584127dvN8uWLTNz5sxxrUD62j2TK0gzA11TUmYLqYYp8LXr8dGxNbzQNr5w7UDzmT5XmL5XjjK9Lx5iH+msX9h3oBk17BJ3FAAAkA5lbym4FRfgUvbW0JnPEuBCzlFwq0+fPmbx4sWmvLzctQLIdXl5eWbfvn2mpKTEFBcXm/Xr17tngPR0aJDL00xBV83YaFPzw1SsXsEu1fJC27vjjz5nTlceMV3O62a69yywj3TW5Wu3kmUHAEC6ThzcZPZtKLZZXGHKXL/69l3mos+SIY3cEhfc6tKlU76WAMgwwYFmBLvQEh06XDHK/m3zzZE9a9xWQ5eMusdcPn6Z20JbmfP99eaDivy64FVTzp05Zc6dKDX//v8tdC0AACCOao5+sPM+c/iNh1xLQ+rbqI8D5BLV2Rk7dixZWwBaTL9Dfv7zn9ugFxCn02+ZKKsrrsiqsrpUoJWi9G1r4Zc/bz755Iz59JOzriW1s1UnzX++Y4LbAgAAcZS9pYz0qACX6o+OmP0KAS7kJH0p3blzp1mwYIFraejee++1GRw8ePDI7Ufc74glS5aYZ555hgAXmpQRecGaLnvoHadt4dWwivefM3sfK7TTbaNtTBo/2Jw5edhtpaYsLu37xS8McC0AACCK6opq1uioCXYU2FJdUibYQS7Tl9NVq1aZ0tLSRl9k8/Pz3RqAXFZR0XCSNP2uUAaoJqagfiXSkTGD3/N79bCFV+OyujTdNlldbedrt3zOVJ0qbzKb69NzZ8z066/iFwoAADFOHX3VZm8pAz1M9UeVvUX5BaBeMNilejty4sQJuwSQ23zAW5lbCm7pdwXfRdEcnV6TK4qKzmsWInUaw9RZHPCHK2z2F1quorLKTLnzUZN/8XBbYD7OiQ/eMP/wt7PNsOKLXAsAAPAU2IqbGVqzSV8x4SeRE+0AqKeb2C+//LKZPHmyawGQq7Zu3WrGjBlDYAstlpFBLi9Vx1FBrsKxK/jH3wpNFaA/c+q46dvjuPmXh+5wLQAAQJq6IafM9N5XTnctAAAA6AgZPVev6ldoem0Vag3TdNwHnhphC7yiZb77tRtsAfo4eu7P517ntgAAgKhO6O4NEyIDXKovOuKOjwhwAQAAdIKMzuQKUkZXVK0LUTCs8Jq/Mj179nQtSNe0hT8zp7tc0iibS1lcH584aF5au8i1AACQ2zSk6oMtk2Kzt66c8BPTd9g81wIAAICOltGZXEEq2KrCrVFZXQp+vfsvg03l4RddC9L1jT/+fGQ2l9pumTjUbQEAkNuUOb5vQ3Fs9lbRrDICXAAAAJ0sMZlc3idnjpv3tt9ljuxZ41oaUjBMmV1I36jZD5m+V45qUIBeBef//X99w/To1tW1AACQe5S9Vb5zsS2TEIV+BwAAQOZITCaXp+EAAyc+aq6asTFytiINa3xzXfSdVkS7dfI1pupUuduqHao46IoCAlwAgJxW8f5zNnsrKsDVs+8oWzeUABcAAEDmSFyQy1NB11Hzyu0si2FVFfvMrsdH28KwaNodf/Q5k1f1kdtyBedLKDgPAMhNyt7STbO3n5pkM8jDfAmF8wuGuxYAAABkgsQNV4yiYJY6o1EdUdXJGHDDCjqiTZjz/fXmg4p8u37+p4fM5lVft+sAAOQSZYKXPn2bvWEWprqgg6Y+YbO4AAAAkHkSm8kVdNFnF9mCr1HTdWuowVuPjTBHY2p4odbCL9cWoO/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","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div 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; "><div 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; "><div 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; "><span 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; "><span style="">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. </span></span></div><div 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; "><span 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; "><span style="">As described in </span></span><a target='_blank' href = "https://www.mathworks.com/matlabcentral/cody/problems/57969"><span style=""><span style="">Cody Problem 57969</span></span></a><span 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; "><span style="">, the </span></span><span 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; "><span style="font-style: italic; ">normal depth</span></span><span 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; "><span style="">, or depth of flow in this state, can by computed from Manning’s equation for the discharge (or flow) </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">Q</span><span 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; "><span style="">):</span></span></div><div 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; "><span style="vertical-align:-15px"><img 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"></span></div><div 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; "><span 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; "><span style="">where </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">n</span><span 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; "><span style=""> is Manning’s roughness coefficient, </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" alt="R = A/P" style="width: 59px; height: 18.5px;" width="59" height="18.5"></span><span 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; "><span style=""> is the hydraulic radius, </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" alt="S0" style="width: 15.5px; height: 20px;" width="15.5" height="20"></span><span 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; "><span style=""> is the slope of the channel,</span></span><span 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; "><span style=""> </span></span><span 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; "><span style="">and </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">A</span><span 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; "><span style=""> is the cross-sectional area of the flow. The coefficient </span></span><span style="font-family: &quot;STIXGeneral&quot;, &quot;STIXGeneral-webfont&quot;, serif; font-style: italic; font-weight: 400; color: rgb(0, 0, 0);">C</span><span 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; "><span style=""> is 1 for SI units and 1.49 for U.S. customary units.</span></span></div><div 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; "><span 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; "><span style="">Write 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 </span></span><span 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; "><span style="font-family: Menlo, Monaco, Consolas, &quot;Courier New&quot;, monospace; ">channelStruct</span></span><span 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; "><span style=""> with the following fields and possible values:</span></span></div><div 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; "><img class="imageNode" style="vertical-align: baseline;width: 435px;height: 124px" 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" data-image-state="image-loaded" width="435" height="124"></div><div 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; "><span 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; "><span style="">The 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. </span></span></div><div 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; "><img class="imageNode" style="vertical-align: baseline;width: 725px;height: 334px" 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" 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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. 
As 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) ):

where  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.
Write 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:

The 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.

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Last Solution submitted on Jun 14, 2023

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Christian Schröder on 17 May 2023

I'm really enjoying these CE372 problems. Keep 'em coming!

William on 18 May 2023

Not sure I understand! It seems that the "correct" result for the normal height in test problems 9, 10 are both larger than the radius of the channel. That can't be right, can it?

ChrisR on 18 May 2023

My diagram probably confused you, William. Both of those cases are closed conduits: test 9 is a circular culvert, and test 10 is a circular pipe.

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Problem 58314. Compute the normal depth of a channel

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Problem 58314. Compute the normal depth of a channel

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