Problem 55410. Easy Sequences 70: Inflection Points of Binomial Product Function

Created by Ramon Villamangca

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:hyperlink w:docLocation=\"https://en.wikipedia.org/wiki/Inflection_point\"><w:r><w:rPr><w:b/></w:rPr><w:t>Inflection points </w:t></w:r></w:hyperlink><w:r><w:t>are points along the graph curve of a function, where the curvature of the curve changes from concave to convex, or vice versa. Consider the following the following binomial product function:</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>                                </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>P(x)=\\sum_{i=1}^{n}(x+c_1i)(x+c_2i)(x+c_3i)...(x+c_{n-2}i)(x+c_{n-1}i)(x+c_ni)</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 the coefficient </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>c_i</w:t></w:r></w:customXml><w:r><w:t> are given by the vector, </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>cs = [c_1,\\ c_2,\\ c_3,\\ ...\\ c_{n-2},\\ c_{n-1},\\ c_n]</w:t></w:r></w:customXml><w:r><w:t>. </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>Write a function that outputs an array of the </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>x</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><w:t>-coordinates all of the inflections of </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>P(x)</w:t></w:r></w:customXml><w:r><w:rPr><w:b/></w:rPr><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:r><w:t>For example, if </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>cs=[1,\\ -1,\\ 1,\\ -1]</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:r><w:t>                                </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>P(x)=\\sum_{i=1}^{4}(x+i)(x-i)(x+i)(x-i) = 4x^4-60x^2+354.</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>The plot of the function shows 2 inflection points:</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>                                                </w:t></w:r><w:customXml w:element=\"image\"><w:customXmlPr><w:attr w:name=\"height\" w:val=\"353\"/><w:attr w:name=\"width\" w:val=\"361\"/><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>Therefore, the function output in this case should be: </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/></w:customXmlPr><w:r><w:t>[-1.5811,\\ 1.5811]</w:t></w:r></w:customXml><w:r><w:t>. </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>Please present the output rounded to 4 decimal places and sorted ascending.</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>--------------</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>NOTE: As an added challenge, some MATLAB built-in functions are 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tFxYO9URkermsW97+hPD28/IKCCCAAAIIIIAAAp0QmM5WpCcek16NJ0OVzmG49g4iHe/SKyujsliodcKb10AAAQQQQAABBBAIgMCJTEV6T6VztH+DPDMSbZtq7xo0F1wrdKRkUvOiq514G9F+Y14BAQQQQAABBBBAoM0Ck5rJ0JOIOdXeQlmdQ68tlOHumCyX6lKzgtk0BBBAAAEEEEAAAQTOITC5UtaR6KgMOBcWnmPhHbjbUyPRFjJbJrROey5WraNDeeE7wMhTIIAAAggggAACCOymwFSuohkNEenTtAYnjmzzyngriNbAORnVdI6BpFiZknKdMndt3v88PQIIIIAAAgggEAgBu7bOWicCaHsdbwXRukIJ/ZrQINpmnSGItl1EQwABBBBAAAEEEDiXwIzlROto7ICmBXfisjpPBdHnwuF+BBBAAAEEEEAAAQQ2E6jWGk5KcNTygjvQPBVEO9U5dKMv2NMtTy0UpVDlwsIO9AFeAgEEEEAAAQQQ8LVAqdqQtI5CJyIRaXToojpPBdFuDosF0ccWS1Kq1X29Q1l5BBBAAAEEEEAAgfYK1HUU9pGprBwZ6ZahtAbRHbqkzlNBtEtsg/A2Kr3aIQT3dfmOAAIIIIAAAggg4C+BqpZEfnSqIC8Z7paR7i6pW4W3DjRPBdHuJo/1J+RkTkeiqc7RgS7ASyCAAAIIIIAAAv4VsMHXiFZ3s+lF3FiyE1vjqSDa3WB7A9GlSeEdygt3X5bvCCCAAAIIIIAAAj4TsOB5cqkio70J0f87UpnDiDwVRLuj7zYSPa1lSmx4noYAAggggAACCCCAwFYCdc3/Pa5x476+uPToiLR7jd1Wy+/U7Z4Kot2NSsWi0qdTNmaKNfcmviOAAAIIIIAAAgggcIaADblW9WrCqOZ1WGpHp4ZgPRlEm87BoZTMF6pSrHB1oXnQEEAAAQQQQAABBM4UsEyGTKku6YSWuDvz7rbd4skg2nKhh3W2maLW/OPiwrbte54YAQQQQAABBBDwvYBV4zi2VNR0jqRoNkc4c6LX78WIToBu7yw6ldey/rX5GQEEEEAAAQQQQMAfAnYJ3Uy+IoM6AGvNvcau3WvvyZFoC6APDSZlIVeWTJm86HZ3Ap4fAQQQQAABBBDws8BaLnSnsqHXpDwZRBvExEBKFgs1yZXJifZzp2bdEUAAAQQQQACBdgrYyPOxpZKM9qxlRDc6NBTtzSBao+jxgaQG0VXJVhiJbmfH47kRQAABBBBAAAE/C8xltUa0BtDJeGfD2s6+WpN7SLM55NBwSuZyNVkpMRLdJBuLIYAAAggggAACoRIoa0L0TK4iB3TwNRbpbFjb2VdrcrfqXIXSl7TqHHWpMPV3k2oshgACCCCAAAIIhEugpLHiyUxFDg6mJGGjsB1sngyibfsTWjG72liVOrMWdrA78FIIIIAAAggggIB/BCoaJy4XKjKcjonO1dfR5skg2upEj+vU3zbZSkbfYdAQQAABBBBAAAEEENhMwGpydHYMem0tPBlE26rpILRYML0bKGs0/IsAAggggAACCCDgZYGSTsw3k6nKhJZGjpPOsRY479eR6EW92jKr0zjSEEAAAQQQQAABBBDYKFCqWU502anqFtdU4E42z45EG0K/5rcYDg0BBBBAAAEEEEAAgY0CVsPNshdinY2fndXwdBB9cCgllZomjBepFb2x0/A7AggggAACCCAQdoGaxokZzVroT8cl2tXZsLazr9binh5IxKWhbzEKmu9CQwABBBBAAAEEEEBgvUCh1pDJ5ZIcHuqWeIeHoz0dREc1t2XVytzZOD0NAQQQQAABBBBAAIF1AiUNohdKVRlJRzWlo7M5HZ4Oog/plZalak3m8pV1XPyIAAIIIIAAAggggMALAs5Ya2cDaHtlTwfRB7RCR1FzXRYL5ERzoCCAAAIIIIAAAgicLlDWOHFmpawl7lJOaeTT723vb54Oosc0iC5VdJheJ12hIYAAAggggAACCCCwXiBjqRx9Cb2ocP2tnfnZ00H0IU0Sz+mMhbM5gujOdAdeBQEEEEAAAQQQ8IdArlx3KnNMDKR2ZYU9HUSn4xGp6UWFZU0apyGAAAIIIIAAAggg4AqslGqyrNkKh7Qk8m5Mce3pILr7hSC6QnUOt7/wHQEEEEAAAQQQQEAFipqtUNS03yGdnG8Xsjm8fWHh/t645Kx0CTnRHCwIIIAAAggggAAC6wSsKEdjdVUiHS5t566Cp0eiLYnD3lnsko1rxHcEEEAAAQQQQAABjwms6EyFy5rScVBLIu9GPoeng+jeZEzy5ZoscGGhx7otq4MAAggggAACCOyugOVEL2q2ggXRpHNssi8GdS50GgIIIIAAAggggAAC6wU0k8NpuxFA2wt7eiTaVvBAf1KSsYhMZZi10DxoCCCAAAIIIIAAAiKFSl1y5Ybs6dmdAVfPB9FpDaCjOkhvV2DSEEAAAQQQQAABBBAwgSWtEz1f1BJ3OlvhbuRzeD6I7k1o2RIdp19RKBoCCCCAAAIIIIAAAiZgFxU6OdEDid2Iob2fznHZ/rQkIl3yyMkcPQYBBBBAAAEEEEAAAUcgrwOsuWJN0lqIYjea50ei65o1bnnjEQ2kaQgggAACCCCAAAIImMBul0D2fBC9VydciXStykyOCws5ZBBAAAEEEEAAAQTWBKr1VRnpT+wah+eD6LE+rf2nbzVOLJd3DYkXRgABBBBAAAEEEPCOwHy+KnUNog/060WFu9Q8H0QnYl1idQDLtReKAe4SFC+LAAIIIIAAAggg4A2BWc1QqNUbcnDAZivcneb5IHpYJ1tJxCOSp8Td7vQQXhUBBBBAAAEEEPCYQKHSkEZjVfpT0V1bM88H0QOpmCQSUZnMlHYNiRdGAAEEEEAAAQQQ8I5AfVWDaE1SiO3i1YWeD6Jtd2W0fMlyruadPceaIIAAAggggAACCOyawGy2KhXNiR4nnePs+2AwHZO+dFRyWlSbhgACCCCAAAIIIBBugblCTYPohhzQiVZ2q21ZnToajUo8Htd8k4aUy2WnQoatZDKZ1PQKnRlGh8+r1apzny2TSqWc5Tfebo852312/7naSHdMBpNxObZSlpdpegcNAQQQQAABBBBAILwCNn2IzSBiKR271c6ISC0I7unpkWPHjsnDDz8s6XRaXvOa10ilUnGC5P/4j/+QH//4x5LJZOSyyy6TX/7lX5b+/n755je/6dyez+fl2muvlTe96U3S29vrBNvf+ta3Tj3m6quvlltvvVX6+vq06kZzWx7VdbKvWmO3mHhdBBBAAAEEEEAAAa8IPLlQlOVyTV6+L71rq3RGTnShUJDvfve78qlPfUq+8pWvyPPPPy+xWMwJeB977DGxgNgC5e7ubnn00Ufli1/8ojz33HNy5513OoG2LXvffffJXXfd5TzOHv/Vr35V7HltBPuBBx6Qr33ta87P67faAmp77GZtqK9HklrqLhOCdA77BCASOWO3bMYS+NvsDZ15hLnZ9ptD2PsEx8WLR4H1hbAfF6ZhDnZshL2ZAQ5r/YFjw2bwC09/WNDr5Uo6unpouPuM04DFm80O1J7x4BZuOC1qtRcslUryk5/8xPmyUWhbEWv1et0JgO3n3/7t35ZLLrlEPvOZz8gXvvAFGRgYkGKxKO9///vl4MGD8td//dfy7W9/W97xjnc4AXU2m5UPf/jD8tKXvlT+7u/+zhm1tudY3yx1ZHp6Wn7wgx84Qbp7X6KrIZPFARlI7pOnZ1bkmv0KY/81N4jtPo0vvtsJIJfLOQeBm0rjixVvw0raicDeeFn6kP1sKUNha7bdljJlDtYv3DezYXNwjwt7827nmU6cGL1qbBbmYH3CztVhPC5s37gOtVrNSRcMo4OdH+xYcM8P9nMYHaw/mIXFKHZs2LmyUwGUvbaXmnuutD5hX0Fu6e6olMoVJ5Vj6sQJefDBB08NLlgWxJNPPnkqfm2nw2lBtHVEG2G++eabZXR0VJ544glndNldAbvvV37lV2T//v1OLrSlZNhB+/TTT8tNN93kpIEMDg7KoUOHnMeePHlSnnrqKbnhhhuclA9L+zhy5Ijce++9Mjc3J8PDw+5TOydCe72PfvSjp/2RrJYKctFrflUu+r/+b3ni5JLMjUsgA2iDMP/FxUXH3P44hPWE6HYKszADCxbCGDhZf7B+sLS05BwfYQ2izcH+MK6srDjnpzD2BfeYsD+S5mB/IMMaKKw/V7oGYT1X2rFg5wfrF9YnwnxsWB8wC+sTbr9wj5uwfLdzpfUD+9tp8VqQ2x4NomeX8tKV6JaTTz0mH//4x51BN9tmN5a65ZZb2k5wWhBtr2YXAV5++eXOCNjU1JQTxNiBaX/A3/72tzsrZO/4vvSlL8mPfvQjeetb3yrLy8tOAO1+xGijh5ZXbXnTtkMtqLaRVWv23d4l2Oj00NDQqY+p7Y/kjTfeKJ/73Oec5db/8/hcQb7w4Kwsr/boSPeh9XcF7mc7GdqbE3vDEfZmB4L1EesvYW12rJmDfcLjHl9htLDzhfUDcwh7s/ODnS/Hx3VEIcTN/pbY3xo7R4S97du3z/nbHWYH9w3EgQMHOjIC6VVr+7TOAmiLu4LeenqWpVhtyLW/9EYnvXj99t5+++3y7LPPrr+pLT+fEUSf7VXs3Z3lO99xxx3OO97bbrtNjh496qR12MfO7miA/eG33+0kZ8H3+vtsGfvdbrfmdvyzva7NWtirM9I8Mp0722LchwACCCCAAAIhFGgmlgghS2A32WYqjEV1oC3RUhi74x5NXcFmI2EW/N5///3ORYI2YvwXf/EXYkPlltqxd+9eeeSRR06t3OzsrDPSPDY25txvFyTax9LW7D4bobbH2PM21XQk3OqY2LegNzsRcDII+l5ufvvcN6bNP4Ilgy7A+WFtD+MQ9J7O9iGwtcD9kxkZ0NmsL9+/+SfVnTo/bBnC22iy1Ye2L/sY2YJgq6pxzz33OPk2k5OTzoiyfZT22te+1rkQ8X/9r//lBIAWJL/uda9zLjh89atf7dz3yU9+0kndsHw+C77tokUbkW6m9cQjktB3HPPF5pZv5jlZBgEEEEAAAQQQQMB/AplSXeIaF/Yld7eC16ZBtAXQNlJsNZ0tN9dqRNuo8eHDh50UDbvfcvKsWQ7vy172MnnDG94gzzzzjHPRyytf+UonV9ruv/TSS52g2S4+tNzpK664Qt72trc5V9La/c203mRMevTr+GKxmcVZBgEEEEAAAQQQQCCgAsVKXbTIpaRiTSVUtE1h0yDaPkK2pHTLd7YhcauOYPnNH/zgB53v64fJbYTaEtnf9773OXnOFmxbkG232Xdrv/u7v7vlfc1uWTqhVx+XG1rOZFUizaaBNPvkLIcAAggggAACCCDgC4HJTMXJid7ft3tTfhvUpkG03WEBsBsEu7nLVmljq3a+9231fBtv79Hk8b0DOvX3UkkOD3XryPjGJfgdAQQQQAABBBBAIOgCszktUKGD0MPp3U3n2N1x8Bb2cq/mRe/rScrxlYrUwnCFYQs2LIoAAggggAACCIRFwM1I2O1w0DdBtNsxbADadyvtrjzfEUAAAQQQQAABBLYlMLVSdq7JG+3Z3XQO38Sj3ToSPZiOyVyuLPUQlLrbVu/iwQgggAACCCCAQEAFJjUW7NIIdrRnbSK/3dpM3wTRvVoPcF9vQo4vaxCtRbZpCCCAAAIIIIAAAuETmLaRaL04ri+15aV9HUHxTRBt1Tls2H5Sc6KJoTvSN3gRBBBAAAEEEEDAcwLZ4toEfru9Yr4Jont0JHqkN6ZBtI1EN3bbjddHAAEEEEAAAQQQ2AWB7nhUkprmu9tt99egSQHLid6jI9GWTE5OdJNoLIYAAggggAACCARI4L7jWblguFsuGErt+lb5JogWTYO2TOgI9aF3vdOwAggggAACCCCAwG4IHF8qymB3VIa6d/eiQtt23wTRNnQ/1B2Tk9myM2vhbuw4XhMBBBBAAAEEEEAAARPwTRAdj3bJXp3e8fhiSciIpvMigAACCCCAAALhE1jIV6UnGZMecqJb2/k9yajENJ0j45GrMltbe5ZGAAEEEEAAAQQQOF8BS+s9pqWOB1NRGdbshN1uvhmJNqi4BtDjmkx+Ui8urFLnbrf7Dq+PAAIIIIAAAgh0VGClVJdULOJ8dfSFN3kxXwXRsUhE9mmFjsVCTSo1JlzZZH9yEwIIIIAAAgggEFiBYrUuUU3xjenXbjdfBdGG5eRDq9vu0+32ruP1EUAAAQQQQACBcAnc8/yKjA+mtMwdJe5a2vMJrW83PpCU6UxZSrV6S49lYQQQQAABBBBAAAF/C1ipY8tFWPVAQoKvRqLjelWhBdGz2aqUqh7Q83c/ZO0RQAABBBBAAAH/CGjoN5epSJ9eWBjxwMQhvgqiYwp2oD8h07mKlOqMRPun17OmCCCAAAIIIIDA9gS6dBQ6W6pJ1H7wQPNVEB3XCwttJNqqcxQrVIv2QP9hFRBAAAEEEEAAgY4ITOko9Fh/Urq1OocXmjfWokkJuxpzRKtzLGud6DIl7ppUYzEEEEAAAQQQQMDfAuVqQx44kZWXjfXJcHr3p/w2TV8F0e7uJ352JfiOAAIIIIAAAggEX6Cu+dCzOhK9Jx3TGtGkc7S8x606x8HBhExlS1KgOkfLfjwAAQQQQAABBBDwq4BdS9jQshxeqMxhhr4aibY88omBlEzrlI9lqnP49RhgvRFAAAEEEEAAgZYEao2GWE703t6EdMe9Eb56Yy1aYLQydwOaC5MtVVt4FIsigAACCCCAAAII+FWgprm8x3QQdUyrtKXjUU9shu+CaKuwfXAopRcX1iVXpsydJ3oRK4EAAggggAACCLRRwGYHqWh5Y5vuW4u1eaJ5ZDVasxhMxXSylYZiUuauNTmWRgABBBBAAAEE/CdgI9FTOk/Inp64pKLeCF+9sRYt7suovgWxxHK7UpOGAAIIIIAAAgggEGyBUm1VHj2Zk5eO9shAd8wTG+u7INouLjw8nJTlQk1WiuRFe6IXsRIIIIAAAggggECbBSIaBDZWG1TnOH/nLhnv0yBap31cKZPOcf6OPBIBBBBAAAEEEPCHgAXPx5ZKsq8vJR6Z9dtfJe5sN1t57fFBG4muSkYDaRoCCCCAAAIIIIBAsAXmczXZ35eQhF5Y6JXmu3QOgzuk1TkWNJ3Dpv+mIYAAAggggAACCARXwIpJzOarMq5zhXjkmkIH239BtL4B6UlGtTLHKtU5gnu8sGUIIIAAAggggIAjUKjWZSZT1lmrUxK3aQs90vwXRCuclTax8nb6xoSGAAIIIIAAAgggEGCBilbmyGoK71A6KnZxoVea74JoozusOdHzmhO9xKyFXulHrAcCCCCAAAIIINAWAatobOOmXgqgbUN9F0TbSvdrfcCMBtFZZiw0DhoCCCCAAAIIIBBYAUvnmM1WZIKc6J3Zx6MDSanZbCtMuLIzoDwLAggggAACCCDgQYFCpSHTGkQf1EyEeJd3xn+9syYt7rSDGkTXaw2ZyVdafCSLI4AAAggggAACCPhGQHN5LZ13VWtFe6n5NohO6tTf1mp1L3GyLggggAACCCCAAAI7KWAT7D21WJRL9vVILMaFhdu27UlEpdFYlWKNWtHbxuQJEEAAAQQQQAABjwrktBzbtJa4OzzULTGqc2x/L00MJZ0yd7OZ6vafjGdAAAEEEEAAAQQQ8KTA6uqq1HXgNKY1oj0UQ/uzOoft4QP9FkSLU+rOk3uclUIAAQQQQAABBBDYtkBBq7Gt5HXa7/7Etp9rJ5/AtznR+/vizkj0vE7/TUMAAQQQQAABBBAInoCNQud01HS/ZiB4rfk2iLapH4ta8mQmR3UOr3Uq1gcBBBBAAAEEENgJgeVSXXL6Nd6f2omn29Hn8G0QbbPWODPYeKvayY7uHJ4MAQQQQAABBBAIs8CSM7leTQ5pjWivNd8G0YOpqJQbDclWSOfwWqdifRBAAAEEEEAAgZ0QqNQbUtfJ9bq1KpvXmm+D6AM62UrBSp7oDDY0BBBAAAEEEEAAgeAJ6IzfUtVAujvuvZDVe2vUwv7XXHPJ6RWbNAQQQAABBBBAAIHgCSwVq5LRWM9mqvZa83UQPaqlTpI6c02hTEqH1zoW64MAAggggAACCGxXYLlYkxX9mhjwVnk72y5fB9H703HpjkbkZJYJV7bbSXk8AggggAACCCDgNYElrcyxol8TOluh15qvg2jvzJ7utd3K+iCAAAIIIIAAAv4XmNd0joVSVQ6RzrGzO3OgOybxSEQWClxcuLOyPBsCCCCAAAIIILD7AnW9AK6hX/Go94ZOfT0Sva8vIQnNiZ5cJoje/W7OGiCAAAIIIIAAAjsrUNJKbMVyQwZ14NRrzddB9GhPXGKRLsrcea1XsT4IIIAAAggggMAOCOS1MoeWiZYunWTPay0AQbTIVLbsNVfWBwEEEEAAAQQQQGAbAqWKTkutqRxjHpyt0DbL10H03t6ERDUnemqFdI5t9FEeigACCCCAAAIIeE5gJq/V13QUerzXezWiDcvXQfRBfWdydDStw/wqTEMAAQQQQAABBBAIjMBMriSNxqqMe7BGtCH7Ooi2DSjU6jJboE60WdAQQAABBBBAAIGgCLhZ0F4dKvV9EL1UqMk06RxBOV7YDgQQQAABBBBAwBF4drEsNR2JvmjEexOt2Ar6PogWfZtSt8s2aQgggAACCCCAAAKBEZjJVZwgeqLfe1N+G7Lvg+ghrRs41BvTWtFU6AjMUcOGIIAAAggggEDoBeprxTkkouWMvdh8H0QPJjWITsZlOkdetBc7GOuEAAIIIIAAAgicj8B0tiKVusiER0vceW/6lxaVrTCHTQfp0TcpLW4NiyOAAAIIIIAAAgiYwJSmc6xqjHeAEnft6RBHhpJywXBKfvTcSntegGdFAAEEEEAAAQQQ6LjAvGYZVPS6t1TCm4kT3lyrFnaTTfsd1a+KJc7QEEAAAQQQQAABBAIhUNPYblWrc3i1+T6IHu2Ny3BPXJ6aL9qkNjQEEEAAAQQQQACBAAjEYxFJJ6Oe3RLfB9F70nGxCh1PaxBNQwABBBBAAAEEEPC/wJxeVJiOR2S015vl7UzY90F01wtVT1YZh/b/EcMWIIAAAggggAACKnBCg+geHYneq4OlXm2+D6IHU3Hp15HoY8slrxqzXggggAACCCCAAAItCJxcKUt3LKoj0QTRLbC1tqiNRPelYjKtk614sxR3a9vD0ggggAACCCCAQNgFpjIVScS6ZFhjPK82349EG6zlzAzocL+B0xBAAAEEEEAAAQT8LfDsYlFuunBQbr10j2c3JBhBtObMHOhPakpHWaoeLoXi2V7AiiGAAAIIIIAAAh4SqGk8N6LV1+Ienk0vEEF0LBqRlI5Gl2p1ndnGQz2AVUEAAQQQQAABBBBoWeB5zYmeK1RbflwnHxCIIDoR7RK7wHAhX5UGI9Gd7D+8FgIIIIAAAgggsOMCzywUZZ4gesddz3jCoe64vGxfWh6azEqZmQvP8OEGBBBAAAEEEEDATwJWLKLL4yUjAjESvbrakIbmcUQ8nDfjp47LuiKAAAIIIIAAArspMKfFInLl2m6uwjlfOxBBtM1aePl4n/zouRUp1hrn3GgWQAABBBBAAAEEEPCmwHKxqlXXYtKb9G55O5MLRBAd0WLRlhddrXNVoTcPB9YKAQQQQAABBBA4t4AViJhcrogNkA6moud+wC4uEYggOq4l7vr03cpisSb1+i5q8tIIIIAAAggggAAC5y1gw6HP6yzUI04QzUj0eUM2+8CkjkLv70vI5FJRatS4a5aN5RBAAAEEEEAAAc8J5DUX2koXJ7WEsZebt9euBblBfceSLdelWGUougU2FkUAAQQQQAABBDwksCrLpZp0x6LOtN8eWrEzViUwQbQORsvB4ZTMZCvUij5jN3MDAggggAACCCDgfQG7vO0nx7NyZE9SxvsTnl7hwATRMY2iJwZSMperSr5KhQ5P9zpWDgEEEEAAAQQQ2ETAAlObidrmzvN6hm5ggmiDbujbFxuRtmodNAQQQAABBBBAAAF/CdhI9N1asviwZhdMDCY9vfKBCaLt4sIrJvrkf+aKWqXD23Ote7pHsHIIIIAAAggggMAuCpT0+ra4jkbHPT6JXmCC6IhuiZVDyWgAXWXClV3s+rw0AggggAACCCBwfgKWTLCS1wsLE1Hp8nhmQWCC6FhXREZ647JQqDJr4fn1Wx6FAAIIIIAAAgjsqkBeK62Va3Wd/8PbE60YUmCC6HhM0zkO9MoTms6xpJOu0BBAAAEEEEAAAQT8I9DQC9wml8syprnQKZ1Iz+vN+2vYgqDhW/oMlxW2gMaiCCCAAAIIIICABwQqtVU5oaWKD/SlpNvjE60YV2CC6JjmzRzUdy5T2TIl7jxwILAKCCCAAAIIIIBAKwLVRkNOLJVkbCAhSZ2x0OvN+2vYoqCVRmEoukU0FkcAAQQQQAABBDwgYBkFViO6Syyg83YLTBBtF3Du603qlZwiS3pxIQ0BBBBAAAEEEEDAPwJFTef4+UxeLh5NS28i5vkVD0wQbdLpRET29CRkMV+VXJmLCz3f+1hBBBBAAAEEEEDgBYGaphPM6szTo70xSWrBCK+3QAXRhj3SHZeq7oSCvpuhIYAAAggggAACCPhDoKZ5HItaYa0/FZOYxydaMdHABdE25ffafOsE0f44ZFhLBBBAAAEEEEBAJK/1oR8+kZFXjPVKf5J0jo73iYNDScnquxjyojtOzwsigAACCCCAAALnLWAJHFEdga43xAeXFQZwJHpiQINone1mpaR7gIYAAggggAACCCDgCwHLiT7+Qok7KxTh9bblWHk0GpV4PC4NrdlXLpdPzV+eTCYlkUhIJBKRarUqpVLJWSaVSjm32zznlUrFeYw91tr6+9Y/ph04B/oT8ux8QZZKVOhohy/PiQACCCCAAAIItENgUaurjWqBiETUBxG0ApwRRFsQ3NPTI5OTk/L4449Ld3e3XHvttU7AbMHzPffcI/fdd58sLS3JxRdfLG95y1ukt7dXvvvd78pPfvITKRQKctVVV8kv/dIvOc9jz/f9739f7r//fsnlcvKKV7xCbrnlFkmn07KqMwzudJsYTMmyjkQvF6jOsdO2PB8CCCCAAAIIINAOgWK14VRXG9c4LuKTCT/OCKJtZPnhhx+W733ve3L8+HG5/vrr5YYbbnBGl6empuTOO+90AmUbqbZg2pZ//etfL1/60pecketarSY//OEPnaD7He94hxw7dsy5z4JpG5m+++67nef6zd/8Tee7uyMsoLbn3G47PNwty6WaLOqXH5sZ2Cg/TQuta58Ju4X1BxzW+oI50DQHT88PYT8urB+YAX2CY8M9J7j9YSfiCPc5/fjdjgm/HhfFWkMW8nWdfTq17XjQMinaMVC7sU+cFkTbC9pIso0cf+c735G+vr5TKRr1et0Jmk+ePCkf+MAHnMD6H//xH+Vzn/ucMxK9vLwsf/VXfyXj4+PyN3/zN/L1r39d3va2t8m9994rCwsLcvvtt8tFF10kn/jEJ+QrX/mK3HbbbaetSywWc5b72c9+5oxYu3fa69pzHj582AnM3ds3frc/rzau3dNVk+ViVS8sLOtvdQ3y/ZPWYSeBYrHodB5Lm3HTYTZuaxh+t5OApRGZh/WNMFqYgZv+5PaLTpwUvNa/7LiwN+vWH+wrjAbuPnHPEeZhaXNhPC7MwnWw7bdPNcPoYOcHOxasL9j5wX4Po4P1B3fbzcJiGPvUPIznCfe4MAf7cvuIGXm9JTV9Y36lLNMrednXo+nCpYLUNFnCSt6drdk2Z7NZJ3PCfrZmsasNAlsg3e52WhBt4Ja+YSPLIyMj8vTTTzsnalsxOzh/8YtfyDXXXCP79u1zVvKlL32pc/8zzzwjr3nNa5xg2h5nAe9TTz0lNnL9xBNPOAF3f3+/DA0NyQUXXOCkdszOzjq/uxtoJ8JHH31U3vOe95zW+e2AeNe73iV/9md/JisrK+7iW37PlVelUatINpOR5ekTsqK/+6WZ/9zcnOTz+dNyyv2y/ju9ntZHLFAwjzCeEK0/2Cc78/PzzsnA3kyE1cFSwTJ6THdqdGGn+/JOPZ+di23Aws6LNuIWxv5glnZsuMeFHSNhDR7NwhysH9jf7rD2B3OwPmAWdozYIFQYLey4sHPD4uKi80bCXPzSLIg+NluW47MZGdAa0U4sFF8rWXy2bbDY0dKF//iP//jUNpuD/b1485vffLaH7sh9pwXR9ox2EeCVV17pdEjbiPUnJwtmhoeHnQ5qy9ofNIv47aQ+MTHhjBi6z2F51Xa7PebgwYOn3hHYO0S7zzZwcHDw1MeS9k7ixhtvlH/91391Aid7HrfZHwv7GhgYcG/a8rvhDfxwWVYTvdI7OiGD0YhvDiZbdzsBmKltaxhPAu6ONQv7sjde5hFGC9t+G4m274cOHQpt0GTbb+cLexNt55Iw9oX1x4UdD/amws65YbWwPmF/f+zvyZ49e0LpYAa2/+3LBrbCHESbhcUq9n1sbCz0QbT1Bfub4fYR9/zh5e+2rsdWs1KKVuXGI0Ny5NA+ScbPHb/Z42699VZnENbdPjsv2MCrpRO3u50RRNsLWsBqK7ax2e2WXuEG1nbw2h95C/zsdveEbvfb7TZy5j5m/X22rN1nzb3dfrZlrRnAZm2zddpsufG+lD5xl04dWZMDA4lNt2Wzx3nhNttGdzvd715Yr91YByxezPt0+4L7fTf2x26+5vrtXv/zbq7Tbr22bb9r4H7frXXZzde1bbe/PdbC6mDb7X6F2cHddvrE2rHg1z5hk+VZjWgNIfWP31oMattyrmbngY1xoxtjnuux271/0yvY1ge29gLuOzx7t2spHpZ/Zc0+OrERZMt1tkoebrMRbLt9//79zjtku88CZ2v2GBtVGh0dPePEt/F13edr9btNt27sNQ3y/dbMYKcc/LbtrO+ZAuvfsJ55L7eEUYDzw9pexyGMvX/rbXb/dtIvtjby+j0z+Yr8Yq4gV473iQ5Cb6u5fzu39SRNPHjTkWh7nK2A5aPalzWL6l/96lfLQw89JHfccYd89atflenpaXnd614n1113nfzgBz+QT3/6087IgOVCW0UP+yjevj/wwAPyD//wD85HLHZhoqVtWEqHjVa3o/V364VoGozmylahI9mOl+A5EUAAAQQQQAABBHZIoFjV8sQ64/S+3rgOhJ57BHqHXnZbT7NprG8BtAXAl156qVx44YXOxU02pP7yl79cbrrpJmek1C4mtNHk973vfXL06FF51ate5eTpPffcc2IXHFp5O2uXX365EzTblaLPPvusXKAXFlp5O3dkeltrv8WDx3XWwoZe0TmTXXsDsMVi3IwAAggggAACCCDgAQGb6ruitaK7E1a+0gMr1MQqbDoSbQGuBc82mYoF1O6MhTZy/N73vtcZlbag2u6z1A77/gd/8Aencqntaml7jBsof+hDHzr1mI33NbGOLS+yvy/hTBs5m2/PSHfLK8QDEEAAAQQQQAABBLYUyFfqktfJ8ga721+absuVaPGOTYNoew4LgN0geH1it5sPvfF1rKzKVm2rx2y1/HZvH9Mg2moLzuYIordryeMRQAABBBBAAIF2CtQ1ZitoED02pIUhfNQ2Tefw0fpvuqpjms5R1XToWdI5NvXhRgQQQAABBBBAwCsCi5oLXdJUjokBfwXRW45EewX2fNZjXEeii426nMxZnRQaAggggAACCCCAgFcFFjX9tqipHBNalthPLZAj0XGtGWjhs07DTkMAAQQQQAABBBDwsMBSqSqWEz3e76+KaoEMolN6ZWe1biXu1mpTe7jfsGoIIIAAAggggECoBRYKaxcVTgwSRHuiI/TGY1LW/BoaAggggAACCCCAgHcFbBS6rDXuBlNrM1d7d01PX7NAjkTbJr5ktFtGdNKVR6fzp28xvyGAAAIIIIAAAgh4RsAqqtlXYrtTFXZ4iwIbRNuMhTbpd9QvFbs7vON5OQQQQAABBBBAwAsCNt33sWxZbjw84IXVaXodAhtEj6bj0h3rkpOZUtMYLIgAAggggAACCCDQWYGuyNpE36s6AOqnFtggeqQnLql4VINopv72U4dkXRFAAAEEEEAgXAIrharkinUZ8NFshbaHAhtE70nHJOmMRBNEh+tQZGsRQAABBBBAwE8CVlGt22cXFZpvYINoG4lORCM6El32Uz9iXRFAAAEEEEAAgdAILBerev2ayJhOlOe3FtggerQ3IfFYVCaXCaL91ilZXwQQQAABBBAIh8B0ToNo6ZIDff6qEW17J7BB9LCWt4vqpObTedI5wnEYspUIIIAAAggg4DeBGSdjYFX29zMS7Zl9p+UGxWrc6QWfNAQQQAABBBBAAAEPCszoSLToSPR+zSDwWwvsSHRME2yikYhML5HO4bdOyfoigAACCCCAQDgEprKWMbBKTrTXdve4fjQw1p+UZxaLzsQrXls/1gcBBBBAAAEEEEBABXyYORDYkWjrkD06faTVHJzL1ZzUDjopAggggAACCCCAgHcEnlsqSVUnWTkyxIWF3tkruiYxTYiOa1pHsVr31HqxMggggAACCCCAAAIiz2sVtapew3ZkqNt3HIEeiR7QCh0jOunKMX2Xs0pCh+86JyuMAAIIIIAAAsEWcKb61iDah9kcwS1xZ12uPxmTwXRcTui7HJ9Nxx7sI4atQwABBBBAAAEEVGAhV5HVhgbRPiynFuiR6L6k5kQno3IiS4UOjlQEEEAAAQQQQMBLAsVKQ9Iapw316MQePmyBDqIvGknLay8akmOLZdE3OTQEEEAAAQQQQAABjwic0IlW+uKWehv3yBq1thqBDqKNwt7hHFvWnGibfIWGAAIIIIAAAggg4AmByZWS9CUisqeHINoTO2TjSpRqDclVatLlx4z1jRvD7wgggAACCCCAQEAETqxUpEcHO/doIQg/tsCPREdeiJ4pc+fH7sk6I4AAAggggEBQBSydozuuQTTpHN7cxXaxZ1QD6eM6/XeDnA5v7iTWCgEEEEAAAQRCJzCXq0oq1iUDqagvtz3wI9Hd0YiM69TfNjd7VScupCGAAAIIIIAAAgjsvoCTaevja9YCH0RbVY667iAbjQ52VezdPxhYAwQQQAABBBBAoFmBu4+tSL9eVPgSrabmxxb4IHowFZPLx3rlwRNZKVaY/tuPnZR1RgABBBBAAIHgCZSrDRnpTUgq7s9w1J9r3UI/sv3Sr7k22WJNR6R9/JlBC9vMoggggAACCCCAgNcFVvJVX1+vFvwgOhbRdzlxmc5WpdogiPb6AcX6IYAAAggggEDwBWxcs6r5tnUfz4YX+CB6wNI5Dmg6x2RG8qRzBP+oZAsRQAABBBBAwNMCNqb5i5m8HBhKynC3PytzGHDgg+iE1rgb1vqDs3mtzsFItKcPKlYOAQQQQAABBIIvYOm1P5nMyiV6QeGB/oRvNzjwQbTtmVXdWVYvmoYAAggggAACCCCw+wJagdjJh26QzrH7O2OrNbDKdvv7kvL8Ukl31lZLcTsCCCCAAAIIIIBAJwQsH/pkpiJD6YT0JEjn6IT5eb9GOhGRy/b1yNPzRSlb0WgaAggggAACCCCAwK4INHRUc0qD6D3dMelN+jcpwr9r3sJut0wOq0OYLdWlXKVWdAt0LIoAAggggAACCOyogI1nPnAyK4f2pGS0h5zoHcXd6SezlI49upOWi1Up1nycfLPTMDwfAggggAACCCDQYYH6akOeWyjK3r6EDCRjHX71nXu5UIxExyMRuUrL3D2rO2whX9s5PZ4JAQQQQAABBBBAoCUByxCwlA77vvZPSw/3zMKhCKJNey0T2tldnsFnRRBAAAEEEEAAgbAJWDrHiRXNifZxKofts1AE0bFol9x4wYA8Op3TmQsrYeurbC8CCCCAAAIIIOAZgamVsowPJCSu8ZmfWyiCaNvIqBaKto8OqM3h5+7KuiOAAAIIIICAnwUypZoz0cq1hwak38eVOWwfhCKI7tIrC0fSMVnW6hwFLiz087HHuiOAAAIIIICAjwVstsJ8uSZ9Wh862uXvMNTfa99kJ7LZCg8PdWtNwpLkKlxY2CQbiyGAAAIIIIAAAjsqUNciaYVqQ3qSFkSTzrGjuO16MptwJalzTGaK1IlulzHPiwACCCCAAAIInE2gXFt1Lioc709KIkYQfTYrT9135US/rBRrziw5nloxVgYBBBBAAAEEEAiBQLle1zisLGP9CUlwYaF/9rhbk1DLRtMQQAABBBBAAAEEOixQ1vp2NuX32EDKyRDo8Mvv6MuFKpwcH0xKsVKXxXx1RxF5MgQQQAABBBBAAIFzC5S0wMNJvUZtvC9OOse5ubyzhH10UNAg2lI6aAgggAACCCCAAAKdFajoSPSJJa0TrQObES4s7Cz+dl7tyvE+mc1V5BndeTQEEEAAAQQQQACBzgrktE50Kh6R7ni0sy/chlcLVTrHoYGkZMoNWSiQztGGvsRTIoAAAggggAACWwrYRCuTOlvhy8d7t1zGT3eEKoi2eoQ2Z2FDC33TEEAAAQQQQAABBDonYIOYNuX3Zft6JWKTePi8hSqIPjSYkGWdJWeuQE60z/stq48AAggggAACPhOwsNnSoG3ClSC0UAXR6WRMcjrZynKRdI4gdF62AQEEEEAAAQT8I5DVlNrFfE0Oanqtz68pdNBDFUTbFu/pS6z1NjI61hz4FwEEEEAAAQQQ6IBARrMBFjWlY2IgIf6/rFAkdEH0WG9cd1yXzOQrHeguvAQCCCCAAAIIIICACWQrWtxBR6InhlKMRPuxS4zpXO32zmFGZ8uhIYAAAggggAACCHRGYEWrc8wVKk6N6C4d0PR7C91I9H4nnWNVZrReNA0BBBBAAAEEEECgMwJZnfBuXuOvQzrlNznRnTHf0VfZp+kcem2oBtFcXLijsDwZAggggAACCCBwFoG85kSXqg1JJ4IxhhuMrTjLDtt41z4dibZa0YxEb5ThdwQQQAABBBBAoD0CNZ3uu1xblf2aDx2UFrogeqw/oZOtiEyTEx2UPsx2IIAAAggggIDHBRa0vHBVg+iJvqTH17T51Ys1v2gwltzfm5Cqzli4SE50MHYoW4EAAggggAACnhdY0DTaSrUm41ojOigtdCPRfamYVHWqnOlMOSj7kO1AAAEEEEAAAQQ8LWBTfpdqDQ2iX5ivw9Nr29zKhS6INpZUPCo1y+mgIYAAAggggAACCLRdYKFQk2J1VQ5oqeGgtFAG0SOa0tGvU4DPZilzF5SOzHYggAACCCCAgHcFFoo1KWiJuwN6bVpQWjiDaE3p6EtEZZKLC4PSj9kOBBBAAAEEEPCwwHy+KnktbzcxyEi0h3fTuVdtT09cerVG4cnl4rkXZgkEEEAAAQQQQACBbQnYTIXZal3GnEnvtvVUnnlwKEeih9NxLfQdlROMRHumI7IiCCCAAAIIIBBcAavOYekcvZpOG5QWyiB6T3dM0nEdiSaIDko/ZjsQQAABBBBAwMMCdS3oUNPqaEFqoQyih3tiWqEjJidWKHMXpM7MtiCAAAIIIICA9wSKlYYko1E5NNTtvZXbxhoFZ0y9BYQRTedIaU70cYLoFtRYFAEEEEAAAQQQaF3g8bmCpGJdcnAw3fqDPfyIUI5E9yWjEtUtn9fC3zQEEEAAAQQQQACB9glYSeFol8hob7DGbkMZRFs3iXR1SWg3vn3HCc+MAAIIIIAAAgicJjCdqzhx1z6dpyNILZRxZJcG0DbhSqW+KjN6cSFzFwapS7MtCCCAAAIIIOAlgWkdidbQS/b2xr20Wttel1AG0aY2qBOu7NXc6GOaF726Shi97Z7EEyCAAAIIIIAAApsIRDSA7tIhSy3QEagW2iDa9qLt1IDtz0B1TjYGAQQQQAABBPwv8PPZvDR0KPqlI1xY6P+9qVswqBcX7utLytPzRdGsDhoCCCCAAAIIIIBAGwQs1rJQa38/OdFt4O38U+7ri8vRPd3y0Ims1ImiO78DeEUEEEAAAQQQCIVAvlgP5Cf/oU3nSMejMtAdlamM5kSHoguzkQgggAACCCCAQOcFkrGITrYSvJAzeFvUZN/o1XSOPVqhY1IvLAxaonuTBCyGAAIIIIAAAgi0VeDBEzmdZCUlF+mn/0FroQ2i+xJRGU7H5PhySYPoYM3lHrROyvYggAACCCCAgD8FJpeKMpCKyB6NuYLWQhtEa60VJ43D0qEjXeFlCFqHZnsQQAABBBBAwDsCbiW0undWacfWJLTRo81YaO+KGlojej5f3jFQnggBBBBAAAEEEEBgTeCRmYKM9MRlvC9YlTls60IbRNvGD3bHZSAZ15SOijN7od1GQwABBBBAAAEEENgZgZlsVXoSMY25SOfYGVGPPEtUR6MtLzpTrkudqws9sldYDQQQQAABBBAIisBSsSrxWJek48Ebtw3eFrXQ6yxPJxHtkkqtoVN/t/BAFkUAAQQQQAABBBA4p8B9x1ZkzdgiAgAAQABJREFUr1ZDOzJMdY5zYvlpgT4tc3fdoX554HhGVko1P60664oAAggggAACCHheYCFTlW6Nt4LYQj0SbYPPFS3PYRcZUqAjiN2bbUIAAQQQQACB3RSo60f9Qf20P9RB9KheLfrea8fk0em8ZEpBLL6ym4cNr40AAggggAACYRWw6mc/18ocR0d6tBpaPJAMoQ6i7cLCi/em5cn5vOSrTLgSyB7ORiGAAAIIIIBAxwX0cjN5YjYvh4eTMhTAyhwGGuog2gBKGjznKnX9qIErC82DhgACCCCAAAIIbFfAqp6dzJRltCch6Vgww81gblWLe14zoqkT3aIZiyOAAAIIIIAAAlsJOEH0SkVGe2OSTgQz3AzmVm21R7e43d4gTa+UpEGt6C2EuBkBBBBAAAEEEGhewC4onFwpyx69/iwdpzpH83I+WtJqRR8c7JZlvbAwo2kdNAQQQAABBBBAAIHtCdi45IllTefoS+qMhcEcsw3mVrWw37s0ip4YSMpSvipZKnS0IMeiCCCAAAIIIIDA5gI1HYk+ninJiI5E9ySCORLd8kTmqVRKEomEdGlli3q9LsVi0fluhMlk0rkvEomcdt/6x1SrVSmVLHXCG9UwdCBaxvoTsqLTUuarjERvfihwKwIIIIAAAggg0LyA1WuYXCzqbIVxidrH/gFsLQXR8Xhc7r33XvnpT38q2WxWLrzwQnnta18rfX19TvBst9vX4uKiHDlyRG655Rbnvh/96Efy0EMPST6fl0svvVRuuukm6e7u9kRFDJ31W64c75O7HluQmWxFLhlNB3A3s0kIIIAAAggggEDnBLI6E3RMg+d0QEehTbLpINpKwM3OzsrXvvY1mZmZcUaan3vuOWdU+Z3vfKcsLCzIV7/6VZmcnHT2kHvf61//evm3f/s3yWQyUqvVnPsrlYr86q/+qth3t9nzR6OdH+6P6A6+SAPnmdyUrJR3f3TcRvjtiyaOg32qEeZmxwR9Yq0vcFysHQnmEPbjwiTMgD7BseH+fXDPk2HvE66D67Jb38s6G/ST80W5eH+fJGOdj+1isVhHBmqbCqJtp1j6xeOPPy5PPfWUfPjDH5Yrr7xSPvWpT8mdd94pFkTff//9zn3vec97nBHoO+64Qz772c86I84nTpyQj33sY3LRRRfJJz/5Sfn85z/vBNHrd64FCxZoWxBuo9xus9fds2eP7N271wnC3dt34rvFqpZVUtVg3l6noqkmeosG97WdePqWn8MMLN3F3lxYqox9hbVZnzOHcrnspAmF0cIM7I2nOdiX9Y8w1jO37bZ+YMeGfYXRwD0PmIXbH8J8jnD7hLmE1cHOD3Ys2DFhx4cFDWE8T1ofcGMUOzbMw1oYzxPuceGeIxyIXfgnEeuShUxFfjGVkZfv7ZZoQ/dJQ/+m13Z+Pg7bZstysNjR+oG1/v5+mZub68jAbFNBtLsPenp6nKDYVnhpack5aIeHh53OagH2VVddJYcOHXI2wNI2bEc++eSTTvqGLTc6OioXXHCBPPDAA86o9uDgoPvUYs/94IMPyhvf+MZTt9kP9lrvfve75fbbb5fl5eXT7tvuL8ZtuzRRrOsVpHl5fnpWFkfKWqVjd0akrQNMT087FoVCwTN549t1Pp/HuxaWP29vqrySQ38+23K+jzEDC6Ltkx87UdhXGP8w2Iij9QF7k20/h9HA7UO2/XYetGtRrH+E8bgwC3Ow48Kuz7EAMowOtv/tWLC/GXaesGuPwnpsuMeC9Qlr1i/CaGHHhcUOllJrfy92q1kKx2y+JisrOht0oez0UcnGpNqGMsLpdNpJM/6jP/ojZ79bX7BmseOtt97adoKmgmjrjLZzLDC2iwf/9m//1vmDtn//fvn93/99ZyXtj5yNFtuBbM06sb0bsJ154MABsXxqa3a/BcwrKysyMDDgPK/dnsvl5FWvepV88YtfdO6z26zZa9tj7Mueb6ebcR/Rbct+cVoSvUMyfGBCBm14ehea7Xxzthxze4MRxj8MLrt7IAwNDTn7PYwWZmCjKvZ9YmLCOYbC+ofBzhcWPNqb9DAauMeFe36w8+XBgwdDe44wBwsS7O/RyMhIKB3svGDHgn3t27dPLJgI43nSjg2zsDcS1sbGxpx+EcbzhB0Xdm6weMnOlbvVnPWYyctzhefl5kuH5aIj+2RAp/1ux1wctu8tWLZBWLdZ/PQnf/InMjU15d7Utu9NBdG2kvbH/N///d+lt7dXPvjBD8rRo0flhz/8oZOace211zqd2Drt+oPYOrU9dv1ttox95OS+S3I7ui3jVv1YP0K9fsvtudrVrpjol3x5VetF12Qw1RRLW1bFOp99WXO/t+WFfPCktv32EaW1sFrYcWJf5mD9v53HgJe7hOsQZgN3/3BcrEm4fcJ+C+v5wY4HHNb6g50jrR+YR5jPE7b95rDbx0QkunbNgl13FtN10rc6uk7tieFskHZj3GhvJNz4cq2HtOffpq7asg5pQa6lZtgOuuaaa5wUjYsvvlie04sL7aNFG4V+/vnnnSF0W1UbgbaRI0vfsMe57xLtAkT7WNZGD+x53WY/d2KD3dfb+N0KgdsUlaXa7oxCu+tjBrvp4K6HV76vfwPmlXXq5HrY9tMn1j6R4rhY63nmEPbjwiToDy/2ByxePEdgsdYvdvvfTLku/zNf0IpnPRK3Mmgdbp06RzY15Gqd0t7VvOIVr5BvfetbzuizpWg888wzcsUVVzgfI11//fXyyCOPyJe//GW55557nOD6uuuuE7vdLjr8l3/5FyeNwwLqq6++2klZcC8A6LDtpi83rhOulLVO9HyuKvt7E5suw40IIIAAAggggAACZxfIlmvy5ExBXjHWI4ldCKLPvnY7d29TI9EWRNtHJTfffLNTYeP48ePyve99z7mg47bbbnOG0a1ah6V12Aj0f//3fzujBB/4wAecPGq779ixY3L33Xc7I9C/9Vu/5bmriK8a75UVTeV4ZqG4c7o8EwIIIIAAAgggEDKBYrUh1XpDc6HXrocL6uY3NRLtbrzlLH/0ox89lW9juc2WpmEjyvbze9/7Xvm93/s9534bSrerpu32j3zkI6c9xqp22O1eavt09LlYqcuiBtI0BBBAAAEEEEAAgdYFKhpALxaqcngkvZZ2tS51t/Vn8/YjWgqibUTaSo5t1Sxo3qyd7TGbLb8bt1k6R153vKVz0BBAAAEEEEAAAQRaFzieKcnxhZLceGRAr31r/fF+ekRT6Rx+2qDzXdfx/oRkNSd6rkgQfb6GPA4BBBBAAAEEwi2gdaQ0+8AmQgq+A0H0C/t4MB2XjKZyzOdenIo8+LufLUQAAQQQQAABBHZO4ITOVnhsuSxXT/TokwZ7KJogel2/OTiQkohOYVjYpRkL160KPyKAAAIIIIAAAr4TKGup4JJeYzaoE6wEO4TWGvW+2zttXOED/UktxRKVyczmud1tfGmeGgEEEEAAAQQQ8L3Aipa3W9I60fv7gl8umCB6XXftjttMRzYSHYJEnnXbzY8IIIAAAggggMBOCBxbKcuzWi74+oNcWLgTnr55jlfsT0tCp6V8+GTON+vMiiKAAAIIIIAAAl4RsJTYnF5jltKZoIPegr+FLezBupbw05RoibVpfvcWVoVFEUAAAQQQQAAB3wkEPQ96/Q4hiF6ncdn+Xi3L0iU/PcFI9DoWfkQAAQQQQAABBM4psKCTrJQ1JfaK8f5zLhuEBVqabCUIG3y2bTg0mNCR6FV5bmnrCWXO9njuQwABBBBAAAEEwiowpfnQNt33keFUKAgYiV63m5OxiNglhcW6JXXQEEAAAQQQQAABBJoVmNeR6KrGUGM6gV0YGkH0ur0cj0YkGe2SeqOx7lZ+RAABBBBAAAEEEDiXwHy+JjUNosNQ3s4sCKI39IihnoTTAeayzFy4gYZfEUAAAQQQQACBLQVOZstSqNbl8GByy2WCdAdB9Ia9OZKKyVAyLsd12koaAggggAACCCCAQHMCP58ryKJOtHLNRDguLCSI3tAvhtIxGUhF5MRyccM9/IoAAggggAACCCCwlUBEZ6yzEneN1XCkxRJEb+gJgzoS3ZeMyVSmuuEefkUAAQQQQAABBBDYSmBRU2HzOtlKWuOoMDSC6A172cqyjOp87z+ZpFb0Bhp+RQABBBBAAAEENhXI6CyF8UhEDg2Go7ydIRBEb+gKAzoS3ZOIynSmvOEefkUAAQQQQAABBBDYTOAXs0Xp1fjp6B6C6M18QnFbTJN5NKVHKpS5C8X+ZiMRQAABBBBAYPsC09mSaAwtIz3x7T+ZT56BkegNO2ooHZeeZFSOLTNr4QYafkUAAQQQQAABBDYVsGvJbL6NUYLoTX1Cc2Na30rNr1DiLjQ7nA1FAAEEEEAAgW0JTOlFhTrxswbR4bio0LAYid6ky+zXCVcuHeuV+45ndfZCpgDfhIibEEAAAQQQQACBUwJTOvgY1QsLR3vDMeW3bThB9Knd/+IPlhMdj3Tp/O8NCUelwxe3nZ8QQAABBBBAAIFWBSZzZelyRqLJiW7VLlDLW4WOCZ2y8qn5otR1DngaAggggAACCCCAwNYCU8saROsoZG9IakSbBCPRm/SH4e6oXLSnW352MidV0jk2EeImBBBAAAEEEEDgRYFKrS7JuJbnCFEjiN5kZ3frhYXDmhg/lano1JWMRG9CxE0IIIAAAggggIAj8MxCQfYNJEJVmcM2nCB6kwMgre+kRnqTMqll7uoE0ZsIcRMCCCCAAAIIILAmcL8WYrhgICWHNRU2TI0gepO93ZOIaLHwmEzqrIU1rizcRIibEEAAAQQQQACBNYGYFmOw7NewZcASRG9yBEQ0Md5KtDy7WHRmL9xkEW5CAAEEEEAAAQRCL2BJr/cey8qhoaQcYSQ69P3BAejTq0svG+2Rx6fzXFxIl0AAAQQQQAABBLYQKOvH9jGtEW0j0mFqjERvsbej2g9G+hKyVKxJtcbFhVswcTMCCCCAAAIIhFzgKf3kfiAdk+Hu8MxWaLucIHqLjm/vpobTcVnK16Ssk67QEEAAAQQQQAABBE4XsLHnn01mZV9/UkZ18DFMjSB6i72dikfkygO98vhsXjKl+hZLcTMCCCCAAAIIIBBeAZtPI1eqSa+WBw5bI4g+yx63q0yd9J5wpficRYS7EEAAAQQQQACBNQGrAnxMUzn2DSSlWwcfw9bCt8VN7uHuWESuO9IvD+pHFEuFapOPYjEEEEAAAQQQQCAcAqVqQ+55PiOvnOiTUU2BDVsjiN5ijydiXU6pluMrJcnpVJY0BBBAAAEEEEAAgRcFrOzCqg5Hd+l/YWwE0VvsdesQcS3RUa6vSoPrCrdQ4mYEEEAAAQQQCKtARQsvPDZTkKMjKelPhasyh+1zgugter7OtyL9Wis6nO+ttkDhZgQQQAABBBBA4AWBuo5CT2cqMtoTl5TVBg5ZI4g+yw63WQvTmigfj8J0FibuQgABBBBAAIEQCuiH9bJctsocMYlrGmzYGtHhWfZ4Q99hHRpMS4M60WdR4i4EEEAAAQQQCKNAUS8svP/5Fbl8vE+GurmwMIx9YMtttpSOQ8NJ+eFTy/L0QmHL5bgDAQQQQAABBBAIm0BdLxo7qekcI5rOEcbGSPRZ93qXHOhLSkY/qsiUuLrwrFTciQACCCCAAAKhEoh0aRhpk2qEtBFEn2XHW3bPtYf65NnFkhxfLp1lSe5CAAEEEEAAAQTCI1DRhOgn5wpy+YF+sbLAYWwE0Wfb69onLtnbI1PZiswWamdbkvsQQAABBBBAAIHQCGT1U/pjSyV5yd5uSTjTO4dm009tKEH0KYozf7D3VX2JiOSqdSnVmXDlTCFuQQABBBBAAIEwChQqDZnLV+SATvkdJYgOYxc49zbHtO5hbyIqNavjQkMAAQQQQAABBBCQks7mPJeryoH+hEStEkMIGyPR59jpNgPPBUMpWchW5dhy+RxLczcCCCCAAAIIIBB8gayORE9lyloKOCkxRqKDv8PPdwutTLS9x4qF9J3W+brxOAQQQAABBBAIpsBsvioPnczKDUcGJBkL55hsOLe6xf78yoN9UtS86Mdn8y0+ksURQAABBBBAAIHgCViSqxX/DWcix9r+JIhuol8f0Y8qSjX92EKrdNAQQAABBBBAAIGwC1T1Y/qFTFX26XwaYf2gniC6iaNgbCAhZZ3ack4/uqAhgAACCCCAAAJhFljVYegFvahwb19CuuPhDSXDu+Ut9P6x/pQUdCR6LsdIdAtsLIoAAggggAACARSYXCk7QfSVE30B3LrmN4kgugmrcS3fUtG3XbNFJlxpgotFEEAAAQQQQCDAAplSTXLlqoxpfBTmRhDdxN63IuL93XHJa6cp6gw9NAQQQAABBBBAIKwCSzqomC03ZFwnWglzI4hucu/vT8clHY3ISc0BoiGAAAIIIIAAAmEVWCnXJasDizbRSpgbQXSTe3+0Ny5JC6I1D4iGAAIIIIAAAgiEVeDpxaI8t1KS6w/1h5XA2W6C6CZ3/0hPXBKxLpmmzF2TYiyGAAIIIIAAAkEUsOm+53Qm5yPD3UHcvKa3iSC6SSqb+juhM/L8YrbY5CNYDAEEEEAAAQQQCJ5AuVaXeDTM06ys7VOC6Cb79iV7006HeWQ61+QjWAwBBBBAAAEEEAiWwLzNmaF1oi8YSQdrw85jawiim0QbTMVEVGuuSK3oJslYDAEEEEAAAQQCJvDYTF5WG6vyyvHegG1Z65tDEN2kmfYXp3WFepb4JrFYDAEEEEAAAQQCKbCgI9E647fs6w13ZQ7buQTRTXbxmOb+XLQnLb2xqDw6nW/yUSyGAAIIIIAAAggER2DWgmidgG6vVi0Le9McBVqzAjbpis0XX3OHpZt9IMshgAACCCCAAAIBEHh0Ni/5Sl2uGiOdg5HoFjr0qJa526tfT8wVWngUiyKAAAIIIIAAAsEQeH6xLCXN59gf8tkKbW8SRLfQp8f6EnJgICGPTOXswlQaAggggAACCCAQKoFCpSa1OlGQ7XSC6Ba6/kAqKr36NZWhQkcLbCyKAAIIIIAAAgERSMejMpQmH9p2JznRLXTqAS1z15eMyfFlpv5ugY1FEUAAAQQQQCAAAt/4+Zwc7EvKq44MBGBrtr8JjES3YGi1ovv060Sm1MKjWBQBBBBAAAEEEPC/QExnbm5oQisFFtb2JUF0C306otU5+jSdY3KhRLXoFtxYFAEEEEAAAQT8L/DgiZz0axz00j0p/2/MDmwBQXSLiMPdcTk8nJbHZgrSsHp3NAQQQAABBBBAIAQCz82XJaU50WNU5nD2NkF0i52+PxmVi0a75fGZnFRqBNEt8rE4AggggAACCPhU4ESuLJbSsYcLC509SBDdYkdOxSMy0hOT6WyFnKAW7VgcAQQQQAABBPwrcGK5JDaDsxVaoFHiruU+0KMfY0wMpORZLTZOYn3LfDwAAQQQQAABBHwqUCjXxErc0dYEGIlusSfYRxivONAr9z2/IsVqo8VHszgCCCCAAAIIIOAvAbsE7MfHVuTivb1yiHzoUzuPIPoURXM/pOJdsrc37pS5q3JhYXNoLIUAAggggAACvhVY1bJ2kzpHxlB31KnO4dsN2eEVJ4huEbTrheV12ngtc+f+1uKTsDgCCCCAAAIIIOATAZvl+8fPZ+SolrYbZyT61F4jiD5F0dwPXV1dMqoj0faubKnA9N/NqbEUAggggAACCPhZoKAprEnNh07onBm0NQGC6PPoCQNaK7o3EZOZbFUq9vaMhgACCCCAAAIIBFTAslef18ocVpXDJp2jrQkQRJ9HT4jpm7CLR3vk+FJZsnqlKg0BBBBAAAEEEAiqgA0X/vR4Rg4Od8toTyKom9nydhFEt0wmkohG5LrDffJznXBlsVA9j2fgIQgggAACCCCAgD8E6vqp+4rGO3064RztRQGC6Bctmv4pqvlAY70Jmc9XJF8lnaNpOBZEAAEEEEAAAV8JWCrHcU3l2D+Y0im/CRvX7zw01ms0+bMF0eNDKScnulCtN/koFkMAAQQQQAABBPwlkKvU5H5N5XjlRL8Mkg992s4jiD6No7lfdNp4Ge9POFN/FyoE0c2psRQCCCCAAAII+E2gqqkcx/QasINa2q47RjrH+v1HEL1eo8mfI1rm7uBgUqZWSlKokc7RJBuLIYAAAggggIDPBKqNVZnNVZyJ5pJWWYF2SoAg+hRFaz/0JmM6a09MlrmwsDU4lkYAAQQQQAAB3wgU9dqvx+fycnSkW3rIiT5tvxFEn8bR2i8vH+uTxXxVZvQdGg0BBBBAAAEEEAiaQF7TVn82mZNX7O8VG0CkvShAEP2iRcs/8aFGy2Q8AAEEEEAAAQR8JFDXdI5pHSwc0dmaaacLEESf7tHSbzcc6ZcTy2V5drHY0uNYGAEEEEAAAQQQ8IOAXgYmopd/Nfywsh1eR4LobYDfcGTAqZ349EJ5G8/CQxFAAAEEEEAAAe8JzGYrcvezy/KOK/ZKKsrn7xv3EEH0RpEWfj86nJLZQkVmdNIVGgIIIIAAAgggECQBq8xR1JzoAS2kEOkiZNy4bxHZKNLC7we0ZqIVuKtoDUUaAggggAACCCAQJIGMBtCzuaoc0gnmdJ452gYBgugNIK3+GtOPNyp1MoVadWN5BBBAAAEEEPC2wLwG0E/NF+WqAz1i8Q7tdAGC6NM9Wv4tEY1KtljTjzsIpFvG4wEIIIAAAggg4FmBfLUhCzofxtgAI9Gb7SSC6M1UWrjtUF9SDHEmx8WFLbCxKAIIIIAAAgh4XCBXqTmzFU70JzTWYSR64+4iiN4o0uLvV030SlWn/n50ptDiI1kcAQQQQAABBBDwrkBeP2Wfz9pIdFKcUnfeXdVdWTOC6G2yX3OwX0r6ccfDJ/PbfCYejgACCCCAAAIIeEMgW645szJfdqDXGyvkwbVoef7GeDwuyaSmMEQiUqvVpFwuS71edzbNbk8kdMhf76tWq1IqlaTRaEgqlRJ7nN1eqVScx9jtQWgXDielqNvy/EopCJvDNiCAAAIIIIAAAk5VjkKpLhfuSaGxhUBLQXRUL6KbmpqShx56SGZnZ+XAgQNy9dVXS39/vxMk//znPxf7Wl5eloMHD8oNN9wgPT098uCDD8rjjz8u+XxeXvKSlziPscB6ddX/peG6Y1GpaBBdqfp/W7boI9yMAAIIIIAAAiETmNQZmReLVXnZ/p6QbXnzm9tSEG2jzt/4xjecQNkCYgueFxYW5J3vfKdkMhm588475YknnnBGqAcHB52g+dWvfrV84QtfcIJvG4V+7LHHpFgsypvf/GZntNpdVQuobaTaby0Zi0h/Mi55Tb7fidalSUf2RVsT8GOf2Ml9Z9tPnxAM1nUq6w9hPy6Mg+NirVPgcLqDedB2RmAmX5VMqSYvGRnamSfs4LPYoG8nBmqbCqKtU1rKhgXI//mf/ym33XabvPGNb5Svfe1r8v3vf98Jou+77z4nQH73u98tN998s9xxxx3ymc98RmKxmDzzzDPysY99TC688EL5+7//e/mnf/onectb3nIap/1RsOA6m83KysrKqfsMoa+vzwnYOwFy6oWb/MF21OGBhDw6VZWHTmTkirEe0Ql+zquZs6XIWCqMbWtQUl7OB8Ptc2G2MAPbfrdPWEqUF4+B89m/rTzGzg1mYF92TITRwPUyC+sT9hVmC7dPhPn84PaJsJ8fXAeLUdzzRKcCKPe1vfLdjSHMwk2zPd91i0Y1/bamppZ6W6/JaqN+3rHN+a5DM4+zbbYB3vn5+VMDkDaIawO71g/a3VoKou+55x6xkeXe3l4noH7Zy14mt9xyi7OzLI3jyiuvlMOHD8vQ0JC8/OUvl3/+5392lrvppptkz549MjY25gTSP/3pT510kIGBgVPbZ8957733yjXXXHPqNvuhUCiIBeYf//jHnTSR0+70wC99iYgsafpKsViRuZkZOV6Ln3dHs85g6TKWAmMj/WEPok+ePOnsf3tTFUYL94RofcJ+DusfBguY7M21nRTNIexBtKXL2YCDOYTVwvrEjJ5v7Y2lWYTx/OD++bPzg72ZCEqKpLtdrXy384L1AbOw73ZtVhiPDXOw48EyBOzn7bShVETuf3pRnpotyuF4txw7dtyZoXk7z9mOx6bTaSd2/MhHPuLsd/c1LHbcOFjr3reT35sKou0FrUPOzc05+c3Hjx8XC4DtJDY6Oiq333678wdu79690t3d7ayfXWRoI8i2My3Ytk5tze63jbbAyNJB3B2dy+Xkuuuuk89+9rNnjETbcvZlz+e1Zu/WrrsoJcUnl+VkNS1vPDQm9fMcinYt7A3F8PBwqP8w2H62PmdvyGy/h/WEaClQ1sbHx51PdZxfQvaPHRcWQNubS7vWIox9wd3lFjza+dP+QExMTITWwvqEfVngODIyEtpzpQWM9mV/e61fhPnYsJFXs7BrtSz+CKOFHRMWS9n227lyO80GbWrxklRXa3LZxRdse2R7O+tytsfaNr/hDW9wsiLsZ2s2Em0Dr4uLi2d76I7c13QQba9mf9CPHDnijD5fccUV8r3vfU/uuusufYdy7FSHtU7sNvfjhPWd2X5e/7u7rD3OTgIWnK8foXbv9/L3yw70OSXufnKyKL/bFdERw/NfW0t/sdEV6wyd+Cji/Ne0/Y+07XerurT/1bz5Crb9bp+wACqszQzsK8wG7r63PhH248IsXIcwnyvtHMn5Ye3IsHMD5wlxBiytX+xE/GDHVn9P3AHeiedb21M7/68NzloWxPpmcaQN/La7Nf1X2TD37dvnBLpHjx4V+zp06JAsLS057/5sRNpGqG2ExJp95GijzbaM5US7AbUtb6NKtrw9p9vs5/UBuHu7H74f6Itrx43IkwvbrxW91ZsMPzi0Yx392id2ysK2nz6x9qnEZm++d8rZT89jDmE/Lmx/cVys9VocTncI+3lip7b/qfmC2Cjry/b5szKHxZzrY8y1XrLz/zY1Em07xd6FWMm6z3/+8/Ltb39b/ud//kceffRRJ8fZPk679tprnaod3/zmN50LDK0Kx2WXXeakaHz60592KnfYELuVurP0DkvPsDyuILS+ZEyikS45ubL20XsQtoltQAABBBBAAIFwCjw5X9RpvkUrc6yl6IZT4dxb3XQQbR+V2EV/Fjhb3ecf/ehHzoWCdtGfDZtbEG23W5WOH//4x06+3oc//GG55JJLnK8HHnjAyU+xCw5/53d+59TI9LlX0R9L9Cai+qagrqMjVnrJH+vMWiKAAAIIIIAAAhsF5vNakUO6ZPSFdI6N9/P7mkBTQbSLZSPH733ve+X973+/M0xuI9RWUsaGzS1f+gMf+IB86EMfOnWfLW8fO/7pn/7pqVxGe4x7u/u8Qfg+0Z+Ui0Z75N7jGblepwInkA7CXmUbEEAAAQQQCJ/AyWzZSZka61srChE+gea2uKUg2p7ybCkYW93nVhhobpX8uVRd3xzU9Q2DpXXQEEAAAQQQQAABvwo8eCInQ+mYvHK836+b0JH1bvrCwo6sjY9fZEInXDk63C33H8tonejznG3Fx9vPqiOAAAIIIIBAMASmM2XNMhBJadEE2tYC6Gxt09I9BwdScnQ0LXc/qxODtPRIFkYAAQQQQAABBLwjUKk1pKqfrtPOLkAQfXafpu/dk47LXi1198Rc4bxnLGz6xVgQAQQQQAABBBBog8CJlbLs01zoi6jMcU5dguhzEjW3QCoekf7umJxYLglp0c2ZsRQCCCCAAAIIeEvg/zy1JIcGknK5T2tEd1KTIHoHtQdSMSmV65LTLxoCCCCAAAIIIOA3gbl8VZKxiFhMQzu7AEH02X1aundQO9xVh/rlXr24sFQll6glPBZGAAEEEEAAgV0XmNR0jrR+ur5Hq3PQzi5AEH12n5bu/f/ZOw/4OIrz7//uTr13yVax3DvGNsbGptdQA5geAoSEUEJNCIQ3IRBC/kBIIXRIIJAAprfQwXRj3HDBvUuWZMnqvV15n2fls2VZkm+lO+nK7/HnfKfdmdmZ7+zOPvvsM8+oS0eWxIveKScgHfJNoWNiEiABEiABEiABPyDwjRgCE2WRlTFpMX5QG/+uApVoL/ZPpM2KjLgIlDW0od3BMHdeRMuiSIAESIAESIAEBoBAkSz5re4cEWIYpPROgIR652Nqb3ykDZOy4rBCgpQ3053DFDsmJgESIAESIAESGDwCusRFQXWrRBqLlOW+uVKhJz1BJdoTSh6miY2wYXR6FNaVNaHFQZ9oD7ExGQmQAAmQAAmQwCAT0IXi1pY1Ij8lCmkStpdyYAJUog/MyOMUETYLMsWdo6aljRE6PKbGhCRAAiRAAiRAAoNNwC6W6E3ljRgqKzAnScheyoEJUIk+MCNTKTITIhAhvtEldW1wOOkXbQoeE5MACZAACZAACQwKAafoLCtKGjBcLNHpMrGQcmACVKIPzMhUCgWalxSFqqZ2NLQxXrQpeExMAiRAAiRAAiQwaARsFoux6jJNgJ51AZVozzh5nCpcrNCz8xOxrrQRpRKlg0ICJEACJEACJEAC/k5AQ/MuLKiVuV3RyJJlvykHJkAl+sCMTKcIs1qhr0V0piuFBEiABEiABEiABPydQLjoLutkYmGGKNA6x4tyYAJUog/MyFQKm9WCUfIUpyv+1DbTncMUPCYmARIgARIgARIYcAKtsraFWqGnZyfISoW0QnvaAVSiPSXlYbowUaKnDI3DJglWXtHc7mEuJiMBEiABEiABEiCBwSHQ1Go3rNCTh8YimouseNwJVKI9RuVZQtGhMVQidNS32VHbYvcsE1ORAAmQAAmQAAmQwCAR0JUtWu1OceOwwQa6cnjaDVSiPSVlIl2KBCmPCrehQiYW2rn8twlyTEoCJEACJEACJDDQBNTot2RHPWbmxSMukqqhp/xJylNSJtPlJEShTSKXV9EabZIck5MACZAACZAACQwkgZoWB5YW1eGQXFWibQN56IA+FpVoH3XfjJx4VIoleltli4+OwGJJgARIgARIgARIoP8E2uWteXFVC3KSo2CVWNEUzwhQifaMk+lUc0YkoqS2DevLm0znZQYSIAESIAESIAESGCgC9fLWPD4qDJGy1gXFcwKk5TkrUynTZMnMJnHS1xOTQgIkQAIkQAIkQAL+SKBGIontqG7BZHmDThu0uR6iEm2Ol8epI8MsaHc40SaLrlBIgARIgARIgARIwB8JlDeKEl3TiqlD4mDVEGMUjwlQifYYlbmEeTqxUJYsrGxirGhz5JiaBEiABEiABEhgoAjUtzpR02yXpb4jQXdoc9SpRJvj5XHqyAgrRqfGoFFmvG6tavY4HxOSAAmQAAmQAAmQwEARqJeFViqb2pCTFAEqheaok5c5XqZSO8SVQ1+M2CzEbAocE5MACZAACZAACQwIgcK6Vqzd1YTZw5IYmcMkcWp3JoGZST4hM8ZIvm5Xo5lsTEsCJEACJEACJEACA0KgTlw5ympbkZtMdw6zwKlEmyVmIv30nAS4xC/6u+IGE7mYlARIgARIgARIgAR8T6BV4kM3iE90fkq07w8WhEegEu3DTh2Z2jG5cHMFY0X7EDOLJgESIAESIAES6AOBoppmtLQ6MD4zrg+5mYVKtA/PAY0VbZFwMZXyqoRCAiRAAiRAAiRAAv5EoKSuDU3tdgxPi/KnagVMXahE+7irkqLD0G53oIah7nxMmsWTAAmQAAmQAAmYIbC5sgXVTXYckk1LtBlu7rRUot0kfPSdHh2OhIhwFMnTHoUESIAESIAESIAE/IVApSy00tTuxJCESH+pUkDVg0q0j7trTHqMBDAPx5Id9T4+EosnARIgARIgARIgAc8J7JK35PXtDmQnRHieiSn3EKASvQeFb36MSY9GakwEFm6r880BWCoJkAAJkAAJkAAJ9IFARUObsVphUkx4H3IzC5VoH58DWXERiI6yYlMVY0X7GDWLJwESIAESIAES8JDATllkJUzSTsqiP7SHyPZLpvwoPiQQF2lDRJgFJRLInEICJEACJEACJEAC/kBgcWEdYiNsmJId7w/VCcg60BI9AN0WHxmOtjYndBlwCgmQAAmQAAmQAAkMNoHKRjss8i8livbUvvYFlei+kjORb2h8BCYOicdX22qpSJvgxqQkQAIkQAIkQAK+IaBRwywWICuB/tB9JUwluq/kTORTJXpcRjQWFdTBTmO0CXJMSgIkQAIkQAIk4AsCS0vq4BItcIoY+Sh9I0Alum/cTOXKktAxYzJisHC7WKJlnXoKCZAACZAACZAACQwmgeKqVtidQGQ4VcG+9gPJ9ZWciXyJ4m+UKdboLVVNYomWM5ZCAiRAAiRAAiRAAoNEYEVJA4YlR2JiZuwg1SA4DkslegD6McJmQVJMGIqrW2GzEPkAIOchSIAESIAESIAEeiCwRCJz5CZGYWRKVA8puNkTAtToPKHkhTTJsvx3mHjwl8sSmxQSIAESIAESIAESGCwCFQ3tiBY3jvhIRuboTx9Qie4PPRN54yKsODQ/CYsLa9HQ6jCRk0lJgARIgARIgARIwHsEtlQ3I0FcTdNibd4rNARLohI9QJ0eJ097h+TEYUVRPeqpRA8QdR6GBEiABEiABEigK4FvC2qRLnO1RqREd93Fv00QoBJtAlZ/ksbLqkDThyVgmSjRta32/hTFvCRAAiRAAiRAAiTQZwKlMkcrWvQSiwaKpvSZAJ1h+ozOXMZIWfp7WGIktte0oFljylBIgARIgARIgARIYAAJtEmY3U82VuGwEYkYLtE5KP0jQEt0//h5nFuX1gyzWtDS7oCVT34ec2NCEiABEiABEiAB7xBwOl2oaGxDSkw4osLpD91fqlSi+0vQw/yqNydGhyE5OgK76ts8zMVkJEACJEACJEACJOAdAqJDo7S+3VCiY8KoAvaXKgn2l6CJ/OlxEchPjsLm8iYq0ia4MSkJkAAJkAAJkED/CbQ5nPh6Wy0OGhIni8CF97/AEC+BSvQAngC64Hd2UiRqW+xoELcOCgmQAAmQAAmQAAkMFIE2MUUvK6rDmIwYwxo9UMcN1uNQiR7AnlWXjpyESFQ1ihLdysmFA4iehyIBEiABEiCBkCfgdLlQUtuK1Dhaob1xMlCJ9gZFD8uQAB2YlZ+IjeLOUSQnMYUESIAESIAESIAEBoJAdXM73l9TibkHZSBJFlqh9J8Alej+M/S4BI3QMTwlEjvqWlHDWNEec2NCEiABEiABEiCB/hHQ6LotdgdiNT60/KP0nwCV6P4z9LgEdefITooSP6QwlEmEjlaJ10ghARIgARIgARIgAV8TaG53Gm/Bh0l8aNGjKV4gQCXaCxDNFBEusaJTJcxdQ7MDlQ3tZrIyLQmQAAmQAAmQAAn0iUBlUzuWyKrJh4lbaUwYteg+QeySiUp0FyAD8WdshBUaq7HVwQgdA8GbxyABEiABEiCBUCdQI5HB1uxsxMFD4hEZTvXPG+cDKXqDoskyZstTYE1TG9buajaZk8lJgARIgARIgARIwDwBdedobGlHRgIjc5in130OKtHdc/Hp1hl5CahosmPDriafHoeFkwAJkAAJkAAJkEB1sx07qltwaH4SwOlYXjshqER7DaXnBeUmRqC2zY5SWb+eQgIkQAIkQAIkQAK+JFArFug6cefISYyEBjmgeIcAlWjvcDRVSnJMOGw2C9rVMZpCAiRAAiRAAiRAAj4kUCoRwYprWjF5aJwchVq0t1BTifYWSZPlpEqgc7sEbaQibRIck5MACZAACZAACZgisKWqFdtqWnDGxFRaok2R6z0xleje+fhs78jUGLgkOMd3RQ0+OwYLJgESIAESIAESIIGd9a2GT7TqHrRDe+98oBLtPZamSpoir1QiZR3w5cV1pvIxMQmQAAmQAAmQAAmYIdDU5oRLViykeJcAlWjv8vS4tElZsfJKxYIVxY0e52FCEiABEiABEiABEjBDYPGOWjTJxMIfTk43k41pPSBAJdoDSL5IkhkbDrvEmSlqaPVF8SyTBEiABEiABEiABGCzWMWFwwK7k6Zob58OVKK9TdTD8nS1oLykKNhcFhTKjFkKCZAACZAACZAACXibwObKZjTJQiv6BpziXQJUor3L01Rpo1KikBkbhm8Lak3lY2ISIAESIAESIAES8ITAqtJGVIs7xyxZ6I3iXQJUor3L01RpI1OjkZ0YhYXbObnQFDgmJgESIAESIAES8IjA1qpmUaIdyE+J9ig9E3lOgEq056y8njInKRIpceH4fifD3HkdLgskARIgARIgARKAw+5CsqxNQfE+AVL1PlOPS0yUkzo6woqS+haP8zAhCZAACZAACZAACXhC4O3V5cgSY910unJ4gst0GlqiTSPzboaYCBvKa9u9WyhLIwESIAESIAESCHkCy0saES2BDMan05XDFycDlWhfUDVRZoaEuhubEYtlxQ0S8A4SioZrCZnAx6QkQAIkQAIkQAI9EFhcXI+wMCsmZTIyRw+I+rWZSnS/8PU/c2ZsBCYPicOi7bVok2XALVYq0f2nyhJIgARIgARIgAQKKpqMhd1iIum964uzgUq0L6iaKDM9PhwTh8RIhA5Rou0OOdlNZGZSEiABEiABEiABEuiGQGVTO5KiwpERF9HNXm7yBgEq0d6g2I8ykuTpcJiEulstcRx1LSErteh+0GRWEiABEiABEiABJfD9zkZkSxSwoQlUon11RlCJ9hVZD8uNEof/DFlwpaHNjupmBxxOF63RHrJjMhIgARIgARIggX0J6AttnWO1TVYqTI0OR4p8KL4hQCXaN1xNlZqbGI1cWXRlZUkDalvstEabosfEJEACJEACJEACewjsdgtdKKsh56VEIj85cs8u/vAuASrR3uXZp9Ic8szokMdGm0wqpEt0nxAyEwmQAAmQAAmQgBAwLNGiUywsrMXQpCgMS44iFx8RoBLtI7Bmio0Rl46Ds+OwrrQBdWKJZpg7M/SYlgRIgARIgARIQAmoG4cq0Rroq7CiGQlRNsNAp/so3idAJdr7TE2XGC+TC8+alIZ31lXI6oVtCLexW0xDZAYSIAESIAESCHECqjy32J34fHM1puYmyqRCunL48pSgtuZLuh6WHWGzID8lCturWtAkJ7/ERaeQAAmQAAmQAAmQgCkChhLd7sLSonocPDROJhUyPrQpgCYTU10zCcxXySPE+pwYFYbmNhea2zXYHYUESIAESIAESIAEPCegM6vsLicqGtuRLFE5VLeg+I4A6fqOramShyRGYkxaDLbX2FHSYDeVl4lJgARIgARIgARIQJeaaJdIBRt2NckaFJGIj6Sa58uzgnR9SddE2S6ZDTA7PwGlDQ4U17ebyMmkJEACJEACJEACJACEiRJd1+rEm6vLccLoVMMaTS6+I0Al2ndsTZUs5z1mDUvAjkYniuodpvIyMQmQAAmQAAmQAAlIgC9UtziQI2+3uQCy788HKtG+Z+zREfRkz5dYjpXNTtS0Uon2CBoTkQAJkAAJkAAJ7CFQLVr01up2TM9NQKSapSk+JUAl2qd4zRU+VJ4cXXLOVzfTJ9ocOaYmARIgARIgARKobnFiU1U7Zsqb7UhOKvT5CUEl2ueIzR0gKdqGJrFE19MabQ4cU5MACZAACZBAiBOoaHZgfWUbZuUlIILxcn1+NlCJ9jlicwfIT4hAW7tMLqxrNZeRqUmABEiABEiABEKaQG2bE1uq7UaMaF2DguJbAlSifcvXdOkHZ0SgoakVa0ubTOdlBhIgARIgARIggdAl0CBvsZ2y1ERyTHjoQhjAllOJHkDYnhxqcmY0qpvasLa82ZPkTEMCJEACJEACJEACRmzoDSV1OGVMPGkMEAEq0QME2tPDZMXaJMajHaWNbZ5mYToSIAESIAESIIEQJ2AVjU4dOJyyYiFlYAhQiR4Yzh4fJT3GhqEJ4WgVv6aqJi664jE4JiQBEiABEiCBECZQUteOsvpWjE6JCGEKA9v0PivRkZGRiImJgVUffXZLREQE4uLikJCQsM8+TRsfH29sj46O3iePOy+/OwhoRBpd/jtCAkcvKWogFhIgARIgARIgARI4IIGNVS3YVtWEE0fGHTAtE3iHQFhfilGleNOmTSgtLcX48eMNBTk8PBybN282PvX19cjKysKUKVMMZXrt2rXYsmULmpubMWzYMEyYMAGqcFP2J9Bsd+KoEYn4dIcdSwrqcNKY5P0TcQsJkAAJkAAJkAAJdCJQXNsKh9OF8WnUrzph8elP00q0zSY+u3V1ePXVV7FmzRrcdttthoW5sbERb7zxBlauXGkoy5mZmVBl+tBDD8W8efOwdetWNDU1Yfjw4Tj99NNx1FFHob2d7gpde7dNlOiZI1OxoaEBb3+/q+tu/k0CJEACJEACJEAC+xDYVNGEZlmtcFhSFFpEj4jdZy//8BWBvb4YHh5BlegPPvgACxcuhMvlMlwz9HvJkiVYsWIFzjvvPDzzzDOYPHkyHnroIXz77bdYv349brjhBjzxxBNITEzEU089RZeO3ng7XKhuaZclwDm5sDdMobCvs7tUKLSXbSQBTwlYxOWNQgIk0EGgtK7N0MmykyJlYiGpDNT4YEqJ1hu6WprVqqyW5okTJ0o8QqfRcd9//73hvpGfn4+MjAxMmjTJsDxv2LABs2fPRnp6OvLy8jBy5Ehje3l5+T697FbI99kYgn8YHS8XQFp0BOLDw7BqZ2MIUtjbZCqRMttalIWBGhD2kvevX2Swtz+UBa+LvTxC/RevjY4zwM1Bv0NRVpc1oU0McNOy48SlIxQJ7NtmHSNVr/S1mHLnaGtrw3/+8x/DFUOVYbUwq2VapaamxlCedWKhik4g1N8VFRWG37T6UavoZET9aHqdbOg+4fX366+/bijcnRuuLiDnnHMOrr/+esONxCgkSP9TFjt37kR7Uz0iW8OQamvFhysLkNQeD6uMC74/HfwLbElJifHAFRsbOyAXg3+1vkN5ttvtUA56TbivNX+rp6/ro9dFg7g31dbWGofqPD74+tj+Vr7eGHTs1PklDocjJK8L7RM9J8rKyoy5NXqPUGNOKIpeC8XFxWhtbTXuuaF8beg5oGOlXhc65yqUWCRGWvH15jKIFwcyXe0oLKpFe4iYo1XXXL58OW699Va49UwdH9RQe/TRR/t8WPBIidaBWy/SZ599Fur7rMq0Ksd6wqqlWa3M3Z2wuq27wa27tFp+vlixb7zxRuMG4W65HksnLyqoYFcilLPeEOIS4jE5PgYbay1YvrMBV85JQpgs3xlq9wk915KSkoyHre7OI/c5Eqzfej7o+a/nRHJyctCf/z31o3IICwszFKeUlJRux5Se8gbbdvcYqEpCKLNw35PcHFRxCkXRe6mOkzo+qHEqFMdJd79r290sVJkKFRZyCsg9Mhy7mkqREBWBqSOysLVYViyUcyIURO8N48aNwy9/+UvjPqFt1mtB9dWWlhafI/BIiXbXQhVdtzvGjh07DItIUVGRoWCnpqYaSrXe8FV08qF+cnJyUFBQYDwd6na1JumEQ70B6NOCW1RZ0LQ//OEP3Zv2+w6FiB5qkY/VcIDRcchMacZb62qQIH+HorjDJeoDVKhKVFSUcR1p2MjO10so8lBFSQfHUBcdI1SZDnUWOj6oshTK44NeC+5xMhTujwe69t0s3A+bB0ofLPsrmuxIio7C6MxYRMi9Ira2wTgvgqV9B2pHbm4uLr744n2SLV261PCW2GejD/7wyCdan3ZV2z/ppJMMd4vRo0cbETn0Bq/Ks16806ZNQ2VlJebPn2+4ZejEwxEjRhjROQoLC/Hxxx/jlVdeMRql27s+JamCoK+uQ11UUbDLO5kIeb5Ijbahqd2OyhBddEXPu1C1MLmvA22/WlRCxaribnfXbzeHrttD8W89F0L9utB+Vw7dvdUMtXOC40NHj7s5hOK18c7acuQkROCwvASIAsHrQk4JNfoOhOHJI0u0DlRambFjxxoWEH3y1wrq94wZM4yIG4cddhhU81+0aBHef/99w6qsfsw6wVBjQ3/00UeGkq1///SnPw15paC3gd6p72dEhiVHI0/C1XyzrRYnjElBVLhHzzy9Fc19JEACJEACJEACQUTgu+IGJEbZZKG2aPGLDrXZU4PbkR4p0e4q6hOeftT1Ys6cOTj88MONJx73E+A111yDX/ziF+7keywFv/nNb/Z5ItD0ofi0uAeMhz+So8MxdWg8lhTW4YiRSVSiPeTGZCRAAiRAAiQQKgSW7KjDGZPSMTZdDJwtzaHSbL9oZ59Nm2qddn/cLdG/3Qq1fuvfKj1td+fjd/cEUmJsmCzhahaJEt3SFpqzz7snw60kQAIkQAIkQAJKoLSmFWEawkuEhmgDw4D9Z8oS3bVWbiXZvb3r3wfa7t7P7+4JxIbbkBUfgS2VzaAK3T0jbiUBEiABEiCBUCSgCvPXW6txkLyxHpvOSdeDcQ702RI9GJUNtWPa5MkyV1Yfio0I61Ckd1v2Q40D20sCJEACJEACJLAvATVcfr6lFhOzYjBc5k9RBp4AleiBZ27qiCkx4ZiUFYtVJQ0ob2w3lZeJSYAESIAESIAEgpOALFCIhYW1yE+JQnZiRHA20s9bRSXazzsoQhaaOGx4AlaXNKKSSrSf9xarRwIkQAIkQAIDQ0CX2lhZVI/spGiowY0y8ASoRA88c1NHDA+z4JDceKwpa4AGVKeQAAmQAAmQAAmQQEOrQ4IOOIzwdqQxOASoRA8Od4+PGiaPmkPiImRJzzY0yiIsFBIgARIgARIggdAmUNdix+urynCahLYbIgEIKINDgEr04HD3+Kj6uiY3OQp5iVHYXtGMWrlwKCRAAiRAAiRAAqFLoEmMakt3NOJgCYObENWvQGuhC9ELLacS7QWIvi7CKpr0tJwE7KxpQUFVi68Px/JJgARIgARIgAT8mIC6cnwrkwqn5cSLOweV6MHqKirRg0Xe5HHn5CdghwRU30ol2iQ5JicBEiABEiCB4CJgl/B2a0sbMCI1BhG2joVWgquFgdEaKtGB0U9GmLuS+lYUyYdCAiRAAiRAAiQQmgQ0PvSOqlbkJERyUuEgnwJUoge5Azw9/JD4SKg3dE2Lw9MsTEcCJEACJEACJBBkBPSN9MJt1Zh7cAbCJQwuZfAIkP7gsTd15KgIK8alxaJOYkXrMuAUEiABEiABEiCB0COwq7ENGyTQwHTxhw6jK8egngBUogcVv7mDT5NZuHZZomj1zkZzGZmaBEiABEiABEggKAiU1LVhdWkTDhuWIJZo+kMPZqdSiR5M+iaPPV0WXWlpd2IVlWiT5JicBEiABEiABIKDQKPoARqtKy85GhoGlzJ4BKhEDx5700fOT4pEg92BglpOLjQNjxlIgARIgARIIMAJlIsrR5noALOGJwV4S4Kj+lSiA6gfk2LCkSyfpjY7WttdAVRzVpUESIAESIAESKC/BNSds7SuFSeMSe5vUczvBQJUor0AcSCLGJceg2ibFd/uqB3Iw/JYJEACfkJAY8KGyxhAIQESCD0CmytbsLO+DYfKpELK4BPgMjeD3wemajA+IwZbK5pkuc96HDWCr3NMwWNiEvAjAg6nCy12F5raHWiXCcP6aRR3LZ0nZBNHR3V1VGU5QjboeyedhR8m4axqGtrR1GSHVT5tsvSviqa1S3lSBJwuJ5rFZzIsTPN25I8OtyAqzIbwMFHAORHJYMb/SCAQCWypbsbOhjZMy00IxOoHXZ2pRAdYl44VS/RXUeGGEh1gVWd1SSCkCYiOK6L/WVAmr2NLxJq0obwJy4sasEtuiiXi57h4ew0iI2yIjbQhWpTgXJk4lJ0QAVWVs2VhhehwGxqbm2Fva0PMJjsKZXKRiird5RL+sr7VjrpmB5YV12FYShRy4qOQKfknZcVgQlYs8lNicEhunCjaMJR1625l3SiE/5EACfg9gTpZK6KtzSUP2JxR6A+dRZqmcIAAAEAASURBVCXaH3rBRB2GyA0xXT4FGytN5GJSEiCBwSTQ3ObEa9/vQml9O+atKEOlTA5Klofh4SnROGZ0Ev5w0nC0OZxoFe1Wb406414dNlQ5dhuOVeG1iTW5uqoKjU1NyBmaLdbr3YsvSXpVjGUhM/m40CZ/2CRjjKT/bFM1vpSFGV5aUS7KexsqW9qQmxiFqdnxuHr2UKMOg8mGxyYBEvCMwLKiekTKtX7iuBTPMjCVzwlQifY5Yu8fIClKrFTymlcXXRmRKiFuvH8IlkgCJNBPAvNFeX1/fRXW7WpCk92OUUlRSIgOx/VH5CBXfseJtTk23Ir02AjEyGJKMYbafOCD2iWfzW4Vq7RFPgcewo8ZnYzJQ+PQ2OZAnXy2VTWjQaxZhfL9p48LUFTfCqso3CePTcF1c3L2qUCH3XyfTfyDBEhgkAi8v6HKeFg+eVzqINWAh+1K4MAjcNcc/HvQCQyJj4CGu/tme51YkaLEakU1etA7hRUIeQLq0/ziyl34bGu14Z+cKApunCjHc0YkIkveHuWL9TdeFOBJmbGIlu19FfWlVv9nTyVWjhUbEbkn+aGyaFNdqwNF4j6yvboVW0WZLhNFWq3UD3xVhO9F6dfx5dLpWciTbwoJkIB/EFiwrQbZidE4VNaMoPgHASrR/tEPpmqRkxiJUemxWFRQhwumZux53WuqECYmARLwCoHVpY1YVtKAHeKfvKu2Deq6ESUW5oNl9vx0UVjHi9Ic6Uf+i2p1TooOMz6TxE9apbqpHd9LO1bubECbTHTcLpOXX5UHgtioMFhE3z8sJwGTh3Sk9Qo0FkICJGCKQJVcoypDEyNM5WNi3xKgEu1bvj4pPSchCvmpUXhFfCspJEACA09ArbeFYsmtlMl8yyVSzncl9WJdtuHCKZk4TV61RvXD0jzwrYERf/5IifajH7tY1FeJMv2/tZX4YEOlRPxwYaeE1Wqyp4mPtVUmLEYiIZK3jsHoJx4zdAm8tboCY9JiMDOPUTn86SzgSOhPveFhXSLFFzJXXrNu3NUoy4A7EM4bmofkmIwE+k5A3Sga5XorFBeIZ5eU4v0NFRINw4GzJ6fj0bPGSOSL6L4X7kc5NZTeNLGi60dljSzu8LJYpW9/dwsSY8Jw4dRMHDYs0bBkR0rIPJ3wSCEBEvAtgWXFDUiXxdZGJtPFyrekzZVOJdocL79JnSivWQ+RG9miwnocIdYjf3pd7DeQWBES8CKB7+Qm9oePtuLLjdW49fjhWHz9DGNCoEbECGY9cqK4cfw+M18eHlqwZEcdnl9WhicXluCIkUk4a1I6JmTGeJEyiyIBEuiOwKLCWvxI5imMkTC3FP8hQCXaf/rCVE2GiSX6Z7OG4iGZCKQXFScAmcLHxCTgEYGGFjveWVeJe+Zvl4VLbLhqTjaeOGe8RNaQaBq7XTaCWYF2Q9JwecPE0j5EYlVPHhKHNeI//cXWGtz45kZMFYv1uVMycMhuy7U7D79JgAS8R6CoqgWR4k6lcxoo/kOASrT/9IWpmsSJ/6Uqz6tLG9Du7Fi1zFQBTEwCJNArgSfE2vriqjKMkgVPrpTQb5Oy4iSyRgxS5JVqKIreu3XCpE6U1MnNB8ukyfXlzVgkC8TcO78AtW12XDkrG+eIewuFBEjAOwR0TsKiglocJGEq8yUaF8W/CFCJ9q/+8Lg2+jSqoe5i5KZWID6aI+RGHwoWMY8BMSEJ9JHARxLf+Y01FYiWC+rYMamYKpbXEyXWcoQfRdjoY9O8li1e3Mn0M0omOuWJQq3RST6SSYj/XrITS2VBiDPGp2J2fqLXjseCSCBUCbTZJXTm8nIcNTIZY9OCY95FMPUllegA7s1UsYhNFOvYWpn4M0Gs0hqLlkICJNA3AoslyoauCKaRKWrEjeNUmUB3miiDbuHCI24S+36rhUw/Rw1PwMNivV8rrh51zXaslLdkR+YnyRjF0Hj7EuNfJGCOwHvyUP/guWORL8Yyin8RoBLtX/1hqjY2sYwdMyoJS+Xmf9jwjgUdTBXAxCQQ4gSc8qq0tK4d6ysa8YJMmNsmodxOnpCKm4/K3Y8MPRH3Q7LPhhGpMfjbaaOwRCY7P/tdKZ5ZvBPFVa04Tdw7suUBf6i8OVPfagoJkIDnBMoaWiWOe5sx74mXj+fcBipl35fNGqga8jg9EtDXy2fL7PhvCmqwqbKpx3TcQQIksD+BJlkUZalEm3hGXBCuemUDxonF9K3LJ3erQO+fm1t6IjAjLx4Pnzkaz54/Hhou7+LnVuO3Eh5vubh8UEiABDwnoAusvC3xoc8+OBPJUaE5F8NzWoOTkkr04HD3ylHVppMu1p2IMBsqGtrh0lhbFBIggQMSaG134vFvS3DSYytw45G5WP3rmbjh8ByJumE7YF4m8IzAWJmAeNvx+fjo5wejRfw6r3xpA/76xQ5ovG0KCZDAgQnUtTqxUh4+p+XEITbAFnA6cOuCIwWV6CDoRw3A3i43KV34gUICJNA7gX8t2okjH12Ot9eW49XLDzJC1elbnXC+K+0dnMm9+pCv8etHpEbj4bljcNnMLLy7rgI/eGol3vy+3GRpTE4CoUegrtWObwvrMCM3EfF8wPfLE4A+0X7ZLeYqdemhQ/D1llp8tqUGP5yYZi4zU5NAiBDQCW+3f7QNFXVtOFrmEqjv89HDk0Kk9YPbzIzYcPxoWiZGygTo+Rur8MiCYiyWSZy3iO950u6QgZy4Obh9xKP7H4HyhjbUyyTnkWlRnE/gf91j1IiWaD/tGDPVOl5C32yvacbqXfSLNsONaUODQJO8ofmnWJ8f+FJcCRwunC4T3W46IpcK9AB2vyrIGl/7lLEpuE4WrDlSxqxVxfW47cNteF2s0i3in84phwPYITyU3xOoE+W5qKYV+fImJzaC9k5/7TD2jL/2jIl6pceFI1xWMtInVgoJkMBeAhvkwfL55WVYIG9phsnN6J5TRspiIR3L5tLyuZeTr391VpDzZeXD208YhheWR+E56Zv/LC3FNllS/FR5MzBO4k5TSIAEgK2yQuFqCbf5A4lVzzUg/PeMoCXaf/vG45rpwisT0mPRIpMQdDleCgmEOgGdvLZaroXHFpXgaYldPFeWpX76/HF7FGjl01mxC3Veg9H+iyQO91uXTsK4jFg89lUR7hCr9PryJrTIpE8KCYQ6gY0VzVgs4SLPmpKOMGrRfns6UIn2264xV7GpsgSvXmcr5cmVQgKhTuC9dZW49o2NhoWz6M45uEZcCCj+RyDcZsW9p47AE+eNMxZoufj5tXhnbQV0qWMKCYQygZK6VhRWNWO8zCOgDu2/ZwKVaP/tG1M1O2VcCpocTvxvfaWpfExMAsFEoFl8a695fSNuf28bjhuVgrcumRRMzQvathwzKhn/vXACrj8iBw9/XYy/fb5DQnYGbXPZMBLolcC6skZUyaTC0w9K7zUddw4+ASrRg98HXqlBfFSYrGgUhfY2F0pq27xSJgshAX8n0FnP+mBDJab9bTGa2xz44ynDce3htD77e/+566fRBdMkgsfpssz61fLWYJXExj3y8e/w5bYadxJ+k0DIEFgnczlqmu2YlZcQMm0O1IZSiQ7Unuum3qNl4lRqtA2LCmu72ctNJBB8BNSvWW8293xWiLs/3o4puQm4bMYQnC6hHpOjw9BZyQ6+1gdfi5Ilgsep41NwqvZfZDjukj79ZEt18DWULSKBXgiskbkBxfVtmJUb30sq7vIHAozO4Q+94KU6jEuPxuqSCCwsqMNZEsaLQgLBTkAnor2yolwm4NTgkPxE3DA7G8Ml+oNbOHnQTSJwvuMiw/DDCWnIT4rE8yt34dNN1Whtd4lvaLSxcEvgtIQ1JQHzBKqb27FLFGhdjXgEo9WYBzjAOahEDzBwXx4uLzkK8WLJWSyLGVBIIJgJ6MrRX26twcuiZBVLLNUzJ2fgp7LoECU4CETLEsez5KFIP48vLMaDXxZi8pA43HxMHrLiIoKjkWwFCXRDYNmOekAGuIkStYbi/wSoRPt/H3lcwyTxi44Ot6K8qd3jPExIAoFGoF0WTNGlcK9/fQMyEyLw4A/HYHwWbziB1o+e1veqw7LhklcKj0gYvOSocFk+fAiGSr9bGLLAU4RMF0AE2kWBjrBZEBNhC6Bah25V6RMdTH0vN5qR4hedJsr0N9trGSYqmPqWbYFVlCa1QL/+/S78/JV1MnM9A8/9aCIV6BA4N34yfYjE+Z6A6pZ2zHloqUw4rJXoHS6G/gqBvg+1Jr7xfSVGyboPP52RFWpND8j20hIdkN3Wc6XHpEVjzvAkvLaqHNOy42ELp1doz7S4J1AI6BuWUom6cb+EPnty4Q7cftII8ZtNlcmD4YHSBNazHwSipP9nyCSrHPGTtsubiKtfXY9fTI3DFbNy+1Eqs5KA/xFYXlyHxBhaof2vZ7qvES3R3XMJ2K3Z8ZFimYvBJzIZh0ICwUJgdWU7fvlRGeZvrMRfzhyDcyalU4EOls71sB3qvaFuHDcdlYdfHJ6LNzc14br3i/D9Tq7S6iFCJvNzAmtksbScxEhOoPXzfupcPSrRnWkEwe8omZAzPCVGZrM7UFDd4rctcsw+Bc4H/9l7/fR1bUER0NZL3GvdVyETKd2fyi4PD7LftX6T8YHdvv/xGpuAHcX7b9ctve3rPgdQ3wDXitVA6a79U/S2T1K7tu8ACqW9BxJph2vNBqBOJqB0ld721dZ11K14Z9dcUDYGp60F++xzHHQUXP99ZZ9tA/3H1/Lq/rGvS2CT1e0un5WNsyRyQ1wkLTUD3Q/+crxhyZG4QiaRnjo+CRtK643whhpXOpCk2/HPk/FGxpA9Y52Oefp3Z+ntGtd0ZeVAdQ+xtz05fudj6W8ZS1yr1naMlWb29TZOdS1H26TjneTZT3orR8Z118o1+zPSQnQs1n2d7heupStgHyKLMynXQZK/fV2E6RIb+sTRyYNUAx7WLAEq0WaJBUD6nKQIHDcmFW+srsCuRv+bZOia/xVcC5fCctTsHmm6Nm1F6gVXIXLSkXB9/k2P6ZxX/Rr29HF7P2lj4dqw2Uivx7HnTIFj/JyOz+iZHcr07tJcr70D+6hDYZ981H7l97Zvv8S7Nzh/dw/saePgmHqsMRg7fnyNaMYdkYp72+cSxdUx9jA4hk+Hfdg0OKYcDews6/YwrudehT1xJByTjoA9aRSc1/5mzzF62+f8f3/aWzdlcuGVe/O9+zHsmRM7GI2cAcexZwNNzcbxLTOnw/nYv7uty0BsfH55GZ5aXIYwOHDFtGRcMIWhGweCu78fQyde/XRSIs6ckIgGWaVynpwna8vkgTgApLvxz9Pxxj508t6xTsY9x5xT97TYedvdsKeOhWPacR3j3lmXAg5Hx/7mFjhv+QPs2QfJ91178rh/eHp8d3qIYus4/LSO48h4Zc8YD9cLr3Xs7m2fpOhtnNpTvv4QBdlx8TWwJ4/uGO/k2yVjlVu6luO67raOMU2MC45ZP4A9byocBx/TUTcZN93ivOn2jjFU92VNhPO+h4xdloNFgW5vh/O5wTMavC9L3muULZ3bRAkMAlSiA6OfTNUyVcLc/XhaBl5ZvgtlEm/S38Q173VYxo2GZcrEbqvmWr0eagG1NBz4Na2rrR2WM0+GbdUXez6W0SOMcp033wFLfh7CStcgrOA7uKQ8127rt/Oef0CVXEtG2n516G3ffok7bxDF1/bfR2DbKg8IPz7XuFm4vlzYkaKXfc6fXA+dIWXbtAi2FZ/BVVgM5x1/7lzynjIcl10H6yXnIaxiA6x/uwvOR56G65MvDaW7x32aW6xMtndfQFjtFlhvvBKuF9+Aa9lKoKUVjkuvhWX2DGOf7b158tCyYI/ibDn/TOOBR63UAykaF3iBTI79y6eFiIm04o4T8jArhzeWgewDfz9Wk8OJy6dn4nfHDUNdqwPPLS2Fxg33d+k6/pkab2S8sz58756xzvr2cx3N3bIdznsfhPXW6xDWVAjbMw/B9eb7cI8/qmy73ngPiI/bD4+p47tz19QBOUNh+/YD2JZ/CktWBhw3/q5jb2/7ZBzsdZxyly/fzif+Y4xTtlefRlj5emOM0ryGRbqbclyP/htRC5bAIlZmy5RJsK3/BmFFK6H3A+ft9xglu977BM4HnoD10T8jrLEA1isuhhoYjLeAYWGwzj0drqdf6FSLgftZ32pHOCyIj+JbtoGj3v8jUYnuP0O/KyFMFLIUUaRrWtvRbHf6Xf2cH30Oy+kn9lgvS2oybO+8gOrH7usxTecdlpRkWCaP3/OBdfdpLRYRDMsBMsV6mZkhVgY7IAOliuXwmQhb9w0sF83tXNQB9+2XuNMG61MPwHLeD2EZnieD84879ux26+hxn+x3ffUtLHLzs4wabjxYWC84E853PupUcsdPp1jOVaz33g4II+v1VwDpqXBJ2t72GXn+8SdYTjwaSIiH5djDdZNhbXZt3GK80lTF2th38nGwzJoOtZapWI6ZA8TFwvXhZ8bfA/Ffk1gWP91ajZ+9vA4/khnq9586EomyEmeTTCykkICbgFNCteh7nhm5cbhGFtnRyad3fbgNq0sP/PDtLmMwvruOf72NRd3VzzIyf89YZ8nPNZJYdrt2GYaJqEhjfDB27B7vrLfdANvqr2AZMWy/Is0e3yhAxlXbi0/CMnMa1IJrOfWEDjcItXz3su9A41TnyrlefssYsyxni7U9LcV4QFBXC9e3y3oc76L0LWf2EFif+AssY0cB8htSP5dY4lVc3ywB5H5hvUqs9DHRsP72JtHWnYbhQPfrfcn1/boe3wRqGl9Ic7sT/11Wih/IZOmRyTQW+IKxr8rs0Ch8VTrLHRQCOgEnV14J5SVFYYO84hwnETsSJOydX4j6oKkP8vD9B/M99RuSCYt8sODbPZt6++FUS+xPb5RZR1mwnHsGLAdNMJJbRDF03vDbDteF7YVAdBR0m4rliFnGd3f/9bavu/TdbXMtWNyxWZT7rtJ5n0t9oNX3e3edjbTjxwBP/tcY3PfJKz7TlrxsIDGhY7M8LFjGjIRLrDKWcLFh9LDPSCyvKV1LVhjsnb+/r+NNgCrL24SLSlFJx7f+rzeezds6/rbZYMmVY3bxld6b2Lu/1BqjN5P7ZRnv3544HHNlAmGMRJipb3F590AsLSgIaMhDjT80UeKE60qVf/9iB+Y+swo3Hp2Hq8V/3u+km/HP7HjjvP8RWMTKjLEjYf3JhUYTXfJWz3KkuIRdfgOsi76D85kXYTntRMNYoAl0XOxJzB6/u3J0TLPouCXjRVfZZ18vY9h++SStGhTcYpSvf6hhoodyrLsqOpLLmKgugS5h4XrxTVh/eVXHdn3AaJSHLPULT04C9D6jRhdJb8ju+5K62Bn3oI6tPv+/XgwED3y5A4/OHYeJmTE+Px4P4D0CcvZQgpFAZJgVNxyZi3fXVmKxroDkJ+IqkwFQxJIjippKq0z8E2uo+9PrJMKOHPv8bz3hKFhPOc4YvF3Pv2r4I7utqHqDUcuM4bog1guLpN1z3H1K8fIfopCqn53ljB/AMmHsvoV33Vdd27E/KmpvusiIDgVa2OwjNZI2uouVQm8KamXpbZ8Uoq8rHaf9CI4fXW2whliQIK/D9VWnZepkOH5xq+F/qP7Qrlf/13FjcR88dyj0puIrcavHO2vbcMeH2/HoN8V4/fKDcNGUTInA4ScPf75qPMv1GoEYmVT9i8Ozcf7BmfjXwhLc/anvztm+Vnq/8c9kQep+YBkvvsFyves8C8f042HVCYGiCFr/fIcxnjr/9hhQVQ2ruJQNRCBtVdhd362CWru7yn77DjBO7ZNfFd3O450YQQzR+RrdlOOSsdCye8x0Pv8aHKeLq4b4gaufs3sctpwlVm0ZcByzTobjkl/AMW52x1irlieRPfcHH453xoF2/+ce+9THf5NEmRki0Wds1o66dE7H3/5LgEq0//ZNv2qml6HGid5c2YQyf5pc6FYMdw+O6n9rTKrTiXXycS1bZardlkvPh/Wx+2F98q+wrfzceI3p/Pc8Y0KN44RzDJcF23fzYX38frheeRsOtVj7UsTv2nHGj2FJSoBN6rSPdLdP3CsM6TzLXhlFiCLtvmm4C5G0rs7pdLv4NKsbhn563CfJVFkOq9qIsBax7og/oOvZlzom1MjN1/a5WGruvg3qRmM59XhYZkyVV55ipXGL1qPrcd37+vmtNxE9V+dvrsGNb29CQVUL7j19NKbKEs+qFFFIwAyBJHno+sXhOTh/aiYWiEvQbR9sNZPd92m7jH9mD6j+0IZPtLhS2F76p/FwG/nNUmDtRpkQfBYsYrm1bRar8MXnwHH+FXC99YHZQ5hKrxPEnVf/GhaZp6HH7Czd7jvAONU5v/HGrfO4s9slw9jeTTkWGQtd4nqmYr35GmOOR9iudbCcdYrhh61uGpaJY2Fb+rFRV4u4+akbnSHu8W73mLvfWNqRyuv/69hX1tCGpxfvxGWyMmcGl7T3OmNfF8i7lK8JD1L5+mCdJU+1ukhBlT8tA+52RdgdZs1y0jEIayve87EcdkjficmkGfWPVvcIl9xU9FWe+g+rpdV65aWwXnYBXO/N73v5B8qpk/REgXaJu4r1/Rc7fLHdeXrYZ8nOMlK4Vq1xpwQkRJ76Ve8nmla5ucMyaXgnaaf6SKK3fZ0L0skzV19mPGwY/tC6T25I6hNtFb9p69U/kRvzdvGL7tQPxaWGX3TnYrz1W28iuvrcP+RVZrWcpz89bChOG5vireJZTggSyBRF5EpZGvycgzJRVNOKP/qTRbrL+Nev7smT+R4qMt5Z9e2R+Pbanv6HMR7Ynn3Y8CN2ve+78U5D2zlOvchwI7H96+8dddn9f4/7PB2npBwdGzuPi0ZIOi1f/bp7KMeuLm2dReaMWK/7mcHI7aKm82est/8K1vvvNCZEanLLYTOMXK6SDrcOy25lvHNRvvpdJG/gXl6xCz+TczbJX9wufdXYICyXSnQQdqq7SfqK6NhRydgh1r1Fhf7h0mH47Yq7giqae0T8eeH+6Eb135UIHWFbthtJXOKfq38byvGS5XAcP7djNrW8xnT+9v+MV4nqruD841+N8HaW4480rKr6KtP535fhWtehULs+/Rp7lFOdoKITSFQplckwxm93jOZe9qkPseNoiVihMUa7iOPCn8P12dew3vFrQ9FVX0B3uL0e98mNUJV8118ehWv590YIJ6dGL7no7I7SJXZp+sW/MNpr+eHJxo1SX1Gqv5/zN3cbrzXV+tTbPo3MoSHtNIqHwUmOpYq45ZApxjGMWfsSj1vjWzvOkxuORgCQ18ZucYkLijviiXubt75XyCvMez7ZjhaJa36DLKJxiijQ7lec3joGywk9AomykuVPJZb0pYdkYaFEeflsS40RucOhTtSDKN2Of72MN+qaYUTvkTq7vvhGouY8A5eMi6qkOn95u/Fw2zZVJs7JWyR9K6X7odfyC693TPTb/TBu5NHxTlwhXJW7xz6deK3S2/HFVcNx5iUd6Tr/L2OC48RzRfu0iNVXxqfFy2HM9dAH/F729TpOSfmd26tpXZ8tgLrp6fiv7iuWSeM6JlX2MBY2nX4CLPLgoOH+lJGO/epDbkwo12hQJaVwffR5x7eEy3P8/Fcw7hfuuStSd0Pkzd1AiVqia5vbMSYjFuFyz6YEGIGamhrXYH9cIr/61a9cF1xwgf4MadmxY4fRH96CsL2qxXXef1a7/vDJdm8V2e9y7HNOddlP7rmvnctWutqRvt/HtavC5XzpTVe7NdPlXPydy9XY5LJPOmJvuthhLsft9+6pn+MfT7raE0bs2W8fP8flXLrC2O+49a49293Hsh995gH3OT/72sjnnP/lnuO4f7RHZu9f5onnGrt72+f8fp3LPnpmR14pw37x1S5Xa2tHvhdeM9pr/3ap8bfjkaf3tiltrMvx73nuw7t63NfW5rIfP9cox2hr+FCX42c3uVyyXcU+csaeehuMPl+wp0zn1oKO9gp3b4ssBuQ64fHlrqMf+c712eZqo3hnDwepq6tzFRYW9rA3tDZXV1e7ioqKQqvR3bS2pKTEVVVV1c2efTetK210nfTECtfPXlznWl5cv+/OQfir6/jX21hkP/syY2zQajo//MzVnjJm77U66lBj2/bt213NVdUuTdtuyejYL2Ok/u1qajZaaB9xyJ587vHO8ei/jX29Hd9x9a+NYxoJO/3nfPuD/crTch3//K+rt31aRI/jlOzr3F6JqOGyz/2Jqz1siHEs++QjXc4Nm/fUoms59qdfcG3bts3V+vW3rn3amzHe5fzvK0Y+58KlrvaI3eO0LctlP/MSl95X3OK47yFXe1SOcW9xb/Plt7wpcf31i0LjHu2t4zQ1NbkKCgq8VVzAlnPLLbe4zjvvPKP+vtRxLVr4YOv9iYmJuPnmm1FcXIx588SfNYRFbo6Ij4+HMvGGNEm0gwvmrcPI9Bj8XUKF+YMY1gaxooaViTVXZ0j3IPJAgeTkZMTFdYltqn6FOvnOLToBRf3ldKb17gki7l36itNYpUvCGe2JarFnp/kfGlMZYuGwLfloT7g886X0kEMsQkiQtqo/9G5pF6t8ybbtyBk5Qia+7575rm3SWegSm3U/6W2fTkBSVppvd+grI78uCKOz05VR0r7nnU6QdN5xnxGntbsYs/sd38MNxfIK88L/rMaQpEj86ZQRGHWAxQXq6+shYxVyc3M9PELwJlMOjRJhIDu7y6vr4G1yty3buXMnomRCro4RvYme3gXVzbj29c3IjAvD1eIzfUjO7rkIvWX00T5Pxz/j8OKypW/gjDd1usF9rarv7u6xUxQmZGZmGiyMORIVlYDGv+80jvSpKTJe2POnGe4Q1t/f3KcieszU0zjVtb1agI7tLfLp7l7RqRyn/JYHbQwdOlSaLmOojqcack9DnHYWvX/sKu/Y3oWR4xAJ1SeT3m1v/qdzDp/9/mBjFV5cVobTJ6bi7MkZ+92++nLg5uZmlJeXIy+vG5fAvhQYoHluvfVWyAMmXnrpJdTW1vqsFXTn8Bla/yg4JjIMwyXuZKssRlAiios/iPXSC+SmEAZnXye9dFagtUE6uEp4u25HIA1fpMq12xexPwDKK+F6+0NYZSGDfZTQ/pTZOa/EQu3uxueKEHeXzqJt6k6B1jS97YuV0EmyQMJ+ddcHD+XXRYHW4nQypvXH58GbCvT8TdW4bN5aQ4G+//RRB1SgtR4UEugrAT2982QMfPCsUVhb0YS7P96OReLiMVhiavzTh111dXOL+1rtTqHUNBqtR6/xLsqhO7uZb8OtTEK+dRd1w0w53abtaZzq2l7N3OmBYb+yeipHE+p42lWB1u16/9CwnV0YaQQiXYDKes3lmmpAZFt1KzbIOTl7WGK3t68BqQQP0i8CVKL7hS8wMl84NQNREvLuKZkB7Beii6m8N098cg/2i+p4XAmZpBJWvckIm+dxngBPqDdQ6x9/47VWvP59Of7yeSFSY8MNC3SeWKIpJOBrAho1bIS87XjgjFEQJybcKX7438iE1kGRABn/rD+7GLbFH+6rxA8KsIE5qE4mtL3yVMeiVANwSI2JX1HXJhE5IjEkkePgACD3ySGoRPsEq38VepAEb3fJTWRZiX9MLlQ6lqNmG5NE/IsUa9OVgGXuaT1bvbsmPsDfLywvwysryjEqLQa3HDuMFugD8OJu7xOYmZeIm47IlaXkbfjj/MGzSHP8837f9rtEcYGxnHN6v4vxtIAFBXWolgmFx4+WN6mUgCVAJTpgu87ziqtLR4J82uwOWV9j0F3gPa84UwYNgVdXleOTDVXIT4nE1RLGblq2+H5TSGAQCJwwOhlXzsqWOQZW/J+sjLm0yH+MC4OAg4ccJALfFtSjvLENej5SApcAlejA7TtTNZ86NA5ZsZF4Y7VMSKOQwAAR0Ie2eRID9bmlpRgtFugbxAo4QZZoppDAYBI4URSX247JQ4VYAh9fUIzvJdQihQQGjIDYsopqm2VqkBXjMjkeDhh3HxyISrQPoPpjkUePTMJUmZH+z4XF/lg91ikICbQ5XPhyaw2ufmkdpmTH4gqxQOsCQBQS8AcCc/IT8ex547CzvhUPf7UDq6hI+0O3hEQd3l5Tjmh5E3LkcLpyBHqHU4kO9B70sP4J4gMYIasX7mxo9zAHk5FA/wh8tqUaxz22HP+6aAJ+c2w+0mQyIYUE/InAiNQYPHz2GBTXteMfX9C1w5/6JpjrsrykETFyPx6fIWFFKQFNgEp0QHef55W3yvT0iTLBcFRqFP4nT8FqJaSQgC8I6Ln15y924PLn1+K5iyfh5LGpiJYbBoUE/I2ARu3Il/B3fz59BFrkvP39+1vxqkSQoZCALwl8XVgDq1iiJ9OVw5eYB6Rs3tkGBLN/HGRGbgKuOzwXz323C+1Uov2jU4KsFuoD/fsPt+G5xSW45YR8zJ2UhtgIDjNB1s1B1RwNvTxBlJlr5mRjlsTr/WJzjYyRsvgQhQR8RGB4UgzGZcRIlBiJA04JaALswYDuPs8rr3bnSJtYo4fEYltFMzZVNmOKTPDSGwiFBA5EoOiZF9C0vRDVn39lfGv6lKMPR85lP0KqfKvog9lvP9yKBVtqMffgLFw7WyIgqKmPQgIBQEB9pFOjw/DOukos2FprvG4/e3KX1e4CoB2sov8S0PvwBxKlaGh8OMal05XDf3vK85pRifacVUCndKsyspC8zAaOEWtLNYbKJK8M+qkGdL/6uvLNojivuuxq4zDJRx+BUXfehpj8juVkKz//GpvvvAebZe9BzzyGB7YB89dX4/RJ6fj98cP4gObrzmH5XicwNiMWGgX0/fVV+J9EMkqKCcexMinbLZ48TLrT8psEuhLQ+/Dd8qbuokMyRYlmVI6ufALxbyrRgdhr/aizxos+e3IanlpSimMlzBOV6H7ADPKsqiQvOuY0HPTvR8XifNF+rdVt+tn6r+fx5RGnYPXM83D+tT/BzUfmUIHejxY3BAIBfTM3Xlw7wuQNihMu/EuiGcVG2DDZXo3vf+LZw2T07ofMQGgv6ziwBHRxlU27muQci0OivPWgBD4B9mLg96GpFujy3xrqbv07W1DRxEgdpuCFWGJVoGd+9s4ed43umq9L1347/QT8+mQbHn/nLhx536XQSawUEghUAqpIj5JX7XPFlUNe3GHeY2+h8p5rD/gwqVbqb48+FaPlbU13D52ByoP19g4BHSufX1aGs6akIzueoT69Q3XwS+GMn8HvgwGtgd4gchKjjBnpW8qbUdNsH9Dj82CBQWCRKANqgXb7O3dX65Z2J15YvguXvrAGD1x7HCbe9Vus/+k13SXlNhIIKAJWGSiHpUTh3IPScaIo0J/+7hEsn3lSr21QxXnW5+9ik7g4qRsUhQQ6E6hpceDvX+7AxYdkYVQa/aE7swnk31SiA7n3+lh3nex17RE5+HhjFb4uqOtjKcwWrARUAdBJhL1Z0zQKx1+/KsKfPtqGJ88fj1PHpWLI8UcYSNQNhEICgU7AJop02dxzkPGPB5B53BF4d3U5XpDVN3sTdeVQS7R7HkFvabkvdAioG8enm6oxeUicROWI5YTrIOp6KtFB1JlmmnLK+FS02l1YI6t0qUWRQgJuAjvktXS2RN3oSZyiQP/2g214Y+UuXHtUHi6amokYCWOnCoTmK3rm+Z6ycjsJBAwBfZjUz/TrLjMeEkelx+AbWYFTl7HvTdxvb/gw2Rul0Nq3q7Edq0rqJYRiAmLDbaHV+CBvLZXoIO/gnpoXLtbomXJB75IlbxcV0hrdE6dQ3N68vWBPBI6u7dcwdreL9fmrLTU4ZUIqbpY3Gho6kUICwUbA/TCpLnA62fBkeduSLy4en2+qMsLg9dRePkz2RCZ0t5fUtWH+xhqcKsarqHCOl8F0JlCJDqbeNNmWU8eloEomFy6gEm2SXHAnrxJ3DLc1rXNLm9uc+MfXRXhHXmufIKsQ/uHE4ftNItR8mp9CAoFOoPPDpCrSuiDLKaJIq0X65eVl+Hp7rTHxMNDbyfr7nsD2qhY0yMRCdedQf3tK8BCgEh08fWm6JZNksRWNz7G1ssl0XmYILQI6s/xlWQ75L59sx2Uzs3H78XndhrFTK1xzwY7QgsPWBiWBrg+Tbov0DyekYZIoQ4/InIAlRfXdtp0Pk91iCcmNi3fUY11pA34ya2hItj/YG00lOth7uJf2aSiyY0YkIcpqlcUFKntJyV2hREAXU9GJhW5pFAv0/9ZW4fJ5a3D/WWNwtdwMelqJUP1AU4+a487KbxIIKgKqSGv4u3MOSsPB2fF44ItCfC5+0l2FD5NdiYTu359srcYiedi6XpaVpwQfASrRwdenplp0vsSsTIgJw0PfFJvKx8TBS0BXJnRPimoTH+hnlu7EVS+txfMXT8KZE9PEp6/nYUPzaX4KCQQ6ga4Pk+72GOHvkvcq0v9ZvBNvralw7za++TC5D46Q/WNFSQNq6ttw+LBExEdxWY5gPBF6vhsGY2vZpv0IxMkKhnlJUbBLhI7Cmtb99nND6BFQ5aFYImxoFI77Pi/EA/K594ejcYa8xo6P7H1mefXnX3XrTx16FNniQCfQ+WGya1v0Tczw1GjjoTItLgKvSKSaV8XdyS18mHSTCO3vTySsnb7J02hYlOAkQCU6OPvVVKsmy4QZjV35lkwYkwW6KCFOQONDJx91OJ645DcSG7cCl8wcip8dOtQIY9cbmo133mvs7m5SYm/5uI8E/JGA+2Gyp7qpRXpMRgzOPzgD8RFhmCer0S0q7PCR5sNkT9RCa/tCWYehosmOOfmJodXwEGotlegQ6uyemjpWbgSjxc/vrbUV4LzhniiF1vaPT7oUSe+/iTNbtuK3x+Qh4gBh7NTytvkP9+KgZx4LLVBsbdAS0IfJFIk243447Kmh03Pice7B6UiODsPjC4rw5a/uMpLyYbInYqGxfW1ZI8JEwzooOy40GhyiraQSHaId37nZabHhGC7LkNbKEuCF1a0M29QZToj9dsmriNfltfR/ii0ovu1PmPnYXdh81329UlAFetExp2HmZ+8YC670mpg7SSCACIyR1QfVtUnP8d7k2FHJ+MnMIYj7fhka/vY3RP/lr70l574QIHDfZ4UYL8apH8sDFiV4CVCJDt6+NdWyaUPiceaEdPz9y0JUt2jgO0qoEdBJhN9I7Nsr5q3FFbOzcf1NczHr83ehr6YXHX2qYZFzKxO6kluRrGyo2zffeQ+O2baKvtChdsKEQHs1yoa+XdFlvA9kkR63/XucfM+1ePPXD+Lx7VasLWPo0BA4RXps4uaqZsRFhyNPJqFSgpcAlejg7VtTLRuSEI7jxibhTfGLrmvlMuCm4AVJ4m8LanH4w8vw4Lnj8LMZQw0XDrcS4V4GXBXm9yxJ+FaU50pRrnXy1UxRtDUdhQSCkYC6ZZh5mHzk3h+joKbZCH+n0RkooUXAIa/zXlpRhtGiPE+TMIiU4CbAmCvB3b8et84ik2Tyk6KRHhOBdeLLNURcPCJ7CWXmccFMGBAEXl61C9e9sgHPXDQRp8ty3jERe5+vVUFW/9AO+U1AtIeVJAFvEnA/TOqbGI2hrg+Ti75YgOhhuYbftD5Mjrlz77Vx36mjcOdH2/Dglztw5ewczMyjMuXN/vDnshxig3p5RTmOHpWECbK6JSW4CVCJDu7+NdW6JJkYc7kspPHfJaXISYzEZFnRkBL8BB6WGOFPLSzBLSfk47zJ6YjupEAHf+vZQhLwjICZh8lJQ2Jx01G5+JdcV4/JZEOHcyhmM0KDZ6ADPJVOwl5RUo+rD89GVkJEgLeG1T8Qgb3mpgOl5P6gJ6CW57kHpaO53YHNFc1w6iwzSlAT+LssXfyaWKF/INbn6+fkUIEO6t5m4waSgIY1+9EhWQgXpepJUaaXyPLPlOAm0CQxoeet2IUZwxIwIiUquBvL1hkEqETzRNhDQMPbpYsbx/ScBJkU0yhuHZwYswdOEP7499JSvCYDvvb3n04abtzsg7CZbBIJDBqB40cn48JpmWKQAJ6QNz6rSxsHrS48sO8JFNS24CF14ZHY+tnxkb4/II8w6ASoRA96F/hfBWbnJ2C9DParOOD7X+d4oUa6EuEHG6rwfx9uw/HjUnHfKSNglRXYKCRAAt4noOHvrjl8KCpl0Y1HvirG+nIaJ7xPefBLbGh1YEVxPVrEKfowWeabc4oGv08GogZUogeCcoAdY3pOHMLkFeT2qhbUtdgDrPasbm8EHKJALytuwNynV+FGWUTlN0fnQpcwppAACfiOwKy8RNx98nBsrWrCQ18U8S2f71APWskrdjbgre8r8NvjhsF2gMWpBq2SPLDXCVCJ9jrSwC8wUWJb6lK2pXWteEFe91OCh8CXW2sw+8GleOKC8bhkeiaiGIEleDqXLfFrAuNkZdh/nDkG23aHv1vO8Hd+3V9mK7dFjE6fb6qWeUUZCKdhwiy+gE1PJTpgu863FT8kNx5WCXu3Xv2iOcHQt7AHqPTnl5fhshfW4uG5Y3HG+FTERzI4zwCh52FIwHjjMyYjGnf/YARqWhzi2lGEpZxsGBRnxudbarCyqB63HMd4+UHRoSYaQSXaBKxQSpoWG4EjRiRC30o9v5zW6EDv+398XYSH5ab9M4nAccn0LCREUYEO9D5l/QOPgBompuXE41oJf1YprnJ3z9+O74q4IEvg9WRHjd3xqz7aVIVlRXW4VmKCU0KLgGklOjIyEnFxcYiPj0dUVJRMSNpbREREBGJiYox90dHRe/b1lie0cAdWa+cMT0RspBWvySqGlMAl8L81Ffh0YzUmSuza/yd+0NF04QjczmTNg4LAESOScJFE7WiXhTn+79Pt+L6EUTsCsWN1NklpXRtqZNLoyLQYRHBsDcRu7FedTZmjVGHesmULioqK0NLSgoyMDIwaNQqqPNtsNhQUFGDHjh1obGxEWloaxo4dC1WgNY9ub21tRVZWFkaOHInw8PB+VZyZfU8gMy4CWbLoyieigG2ubMao1GjfH5RH8CqBT8RH75WVu3Dw0FhcMSubkwi9SpeFkUDfCZwrCxvpnIS/fFaA+z4vwO9ksaNxXOGu70AHKefD3xRBTYnXyVs+SugRMKVE19bW4qWXXsLKlSvR1NSEESNGYO7cuZg1a5ahIL/xxhtYtGgR6uvrkZubi3PPPRfTpk3D888/j9WrVxvK9bhx44w8hx56KBwOR+gRD7AWz8pNxOJtdbjt3S146vxxSKAfbUD0YLtE4VgpUTgeEhcOfX18+aFDkJPEuKUB0XmsZMgQOF1CTCbLmHr1a+vx188KccuxeRgtFk1KYBDQ6UJfiD/0obKwztTsuMCoNGvpVQJ7fTF6KdYiflx2ux2ffvqpYVW+9tpr8c9//hNDhgzB448/Dt2/bNkyLFmyxFCcn332WUycOBF///vfsXDhQqxatQo33HADnnzyScPV44knnqAluhfe/rRr2tA4zJVIHd/JpImvRZlubXd7gflTLYO3Lp3dpTxtpYax0zjft76zRZYaTsDPZw1BLhVoT/ExHQkMKIHDxW1u3o8m4bMt1bjv00LGkR5Q+v072K/+txnHjUrC5TLPhBKaBDxWol3yyNXQ0IDjjz8e+fn5GDp0KPLy8lBeXi7BG1yGojxp0iTDVSMnJweTJ09GXV0d1q9fb1iqVeFWNw61XqulWvN1Fi1DXUJCXZRBXxQnn3ETp6+ZeQm4SiZM/G91BWrbBi5utD6c+RULn0HuuWBl4P70nGrfPUsK63CzKNCnylLel8nKWUMSAt8CbZbBvkSC6y+9JkL9utAeVQZ6XgSDTMiKxZs/mYIlMsnwjx+Lj/ROz32keW10nAHu82GgzomaZjvmb67GqKw4TJT+8xfh+dDRE+oyrHqlr8Ujdw6n04mwsDCcdNJJiI2NRXJyMj755BN88803mDNnjlHRqqoqww9aJxyqaDr9qLKsLhw6CdG9XScdqmuITlB0n/D6+6233sIJJ5wAPZ5b1L/67LPPxlVXXWUo5e7twfitLEpLSw1uiYmJfuHuYpM6tTlcGBndgsfWlWH2UBuOzI1ChNUF2ewzURY7d+403Ib0nApF1x9loG+AlIP+1gesngYF7acwmxUfbm3CcyurMTnNhqMy22GvKcPOGov0lQ87y2dnQUfB2m59INeHb+XQEwMfV8MvilcWNTU1xnWhFQrF60LbrRx0rNT5OM3NzQHPQU5rJMkl+vdjEvCHrytx2zvrccOhqZiVHYXaHha8cl8LOj7oOKH31VA9H5SF6g3KQscHXypQOs622Z14ZGktpqVZMAT1qN7lQGPb4Lun6nWhrrYVFRV7dCu9XoJZ9LxXF+M77rjDGA+0rfpApXP3VD/1tXikRGsl9CTNFwv05s2b8cILL2D79u2Gy4ZapvXk1RNX07hFf+tHL+7O4k7jvtjdf7e3txuTDi+88EJj0qI7j05GnDp1qjFB0a2gu/cF27d2vCoK+vChDxWdHyYGq63apfKog2mRcThmbDve21iHkTL5ZVZuAupb9+1bb9ZRzwvloH3uLyy82T5PylIGel24OegA2Z0CqWGzosMteO67cqwobcGVh+difGo48uLDjAcdZwAr0MpJrwu9FvSj50N3DDzhGQxplIWeE/odqteF+5zQ68Id+ckfxsr+nl96HR+bmYLasAQ8sbAEf/tmF249MhuHj0xGkyhoXc97HR90m54H+lFlIhg49IWjstC2u++d+nDVlVdfyu2aR/tI3eUKK5qxYHsjfntCHqbnxkgoWJfE3e+aeuD/1nFBWWjgh4SEBKMCvuAw8C3r+Yja18OGDTNcidXYq6LXwquvvoq2traeM3ppj8dKtHaERtl47733DOvyjBkzcOyxxyI7OxvV1dWGdVotA2oVUFFlUK1H6vahTwRupVm3qVuIWrPdg4CmV2VZXT0uv/xy/bNb0QEz2EUt0Dog+tsDQ7xcjz8/1IKb3pJIK83hmB0Vi8SOlws+6xIdBJKSkowLwmcH8fOC9cagb2OUg14vPck/l5Th84JWHD8mDWdNzuwpWcBu1wcIFfeNIWAb4oWK61isNw5/GyO80DRTRajFTd9wBhuHsybHoB02PL+sDC+ta0JaajImZXUoRN0B0nuqjg96ToS6KAvVLdzjhS94VMtCOe9vq8WU/GTMHJmGpGiP1ShfVGe/MvU80AftUBor1VX4+uuv34fFtm3bDHfifTb64A+PfKL16UYtyh988AE+/vhjw2I8fvx4bN261YjGofunTJmCXbt2YcGCBZg/fz6WLl1qKNiHHHKIYbXW7R9++CE2bdpkKNapqan7NEcVBO34UBd92PBHa4I6A4zNjMExY5KwXILKL5XID74WVRbcD1++Ppa/lu8+H3o6J5ol0OxbEgf60S8LkZUQgQsOSvfXpvSrXm4O/SokSDLruRDq14V2pXLo6boI9K4+T8Lf/eqIHFQ2teGpRSXobYnwYOZgph/dHHx9bawqqcf7a8px5ayhSIz0v3lcyiHYrc+enBdqmO3N8ORJGZ6k8fgRSjtFFWBVpt955x3DIq3b1Hp8//3344gjjsDixYvx0Ucf4cUXXzQUZY3Iocq1Ks8aGq+yshI6+fCKK64I2sHPE+iBmEZtoEnR4fjTySNwxrOrMW9FGQ5hSJ9B7cqmNic+3FiFn72wBrecOAI3zslBpLh1UEiABAKfwJEjk5ASE44Hv9qBe+cX4NZjh2Eax9xB7dgNFU14d20Fhkq0o4liVLJZOd4Oaof4wcE9UqL1yUZfEdx1113dVtn9BHjddddBw9+5RZ8C9PO73/1unycj3ebrp0V3HfjtfQIjkqJQUduKb7fXYpbEx6QMPAG1QH8kCvQv39qIv80dh7MmplKBHvhu4BFJwKcE9O3fr47Ow+uryvHLNzfhluOH4ZSxKT49JgvvmcC3O8QKvb4S/zxv/IBYOXuuCff4CwGP3DnclVWn7e4+7v3q1tF5v/6tov5J3W135+N3YBH4jSwdHR5hxV+/LpI3CoEb9SGwqO+trUZLeVluqre9txl/OHkkzhQFOiHKo+fhvYXwFwmQgN8TCBdL56i0aJnnkIYTxqTgzve34i8y7lIGnsBSWSth2fY6zBFf6FkS9pVG6IHvA388oikl2m1x7vrtbpi6d3Te5/bL6bxNf7u3u/PxO7AIqO/tUSOSIVHu8MzS0sCqfIDXVh9aHl1YLNxLcMdJIwwLdCIV6ADvVVafBHomoC4DGhHpqjlDcdqENLy7uhy/+2h7zxm4xycE/rV4J9btasQfTx7uk/JZaGASMKVEB2YTWWtfEDhO/PVGpkbj6SU7oUHnKb4lYJPYpLsa2vGHTwqwaEcdfjozGxdMyZCwSrRA+5Y8SyeBwSegFulU8Y++ek42jhYDxhebqvB7WZTFJQ/VtIj6vn9ekTd/peLCeNToZKTHhvv+gDxCwBCgEh0wXeVfFR2aGIkTx6VgmCjS//imGPTq8E3/2CxWRNos2CwWkKfEErK6tAEnjU3FxbIUO4UESCB0CKjjnCpw1xyWjRPHpOIdWUH2QXkr1dDq5AQ3H58Gr6zchdHiVnPVzCE+PhKLDzQCNGMFWo/5UX2PHtFhjT7y4WW4aEq6DDIxflS74KnKlpp2vLalBNuq2nDT0bniSpMoLlG6AFLwtJEtIQES6J2AXu6GIh0fjusOz5YFPoAHvyiEfVo8Lsl0Ip1honsH2Me9zy0vM8DPHp6EtFhC7iPGoM1GS3TQdu3ANEyXmz5hdAoe/6YEhTWtA3PQEDpKUX0b/vx1FZbtaMD/nTrCUKC1+VSgQ+gkYFNJYDcB93OzLvBx05G5uOLQbDywqBrvbqxBs4S8pHiXQEu7Cze9thETsmJx/Ogk7xbO0oKCAJXooOjGwWtEZpxYRWRRgBXF9fhqWw3qWugf7a3e2FzZjFve2YLSJgee+/FETJBwVxQSIAESUALREiHppmNy8evZ6bj/k634w6cFqGjkgmXeOjt0rs9Zz6zCXHnLesFUzj/xFtdgK4dKdLD16AC3R2eOj82IlQkvObIoQBE+k9jRKvrakWKegJvbp5trcOXLG1BR14q/nJCO3AROZjFPkzlIILgJRMqE4x+MjMHdEjFimUw4fmBBcXA3eIBa55BJPmvLGlEpk7mvknvbOImOQiGB7ghQie6OCreZIhAhznmnjU/FlKGx+HhdFZZIPE33a0dTBTGxwe3tdZV4SB5IhsjkzTvl5jg2JVweStzqNSGRAAmQwF4CsbJK6UkSNeKWY4ZJpKR2XPH6Rny2uXpvAv7ymIDONVFZX96Mq15Zj/OmZVKB7kDC/3sgQCW6BzDcbI5AVLi8Wjwiz4gB/vmWGmPim7kSmFoJvLWmAi9/V4ZsWVb2l7JS2eEjUtBsFxWaOjRPEBIggW4I2MVqGh5mxQmjkiRufBrK5O3VfZ8V4MutNXtSc/jYg6LHH8pI55qU1LbhZYnGMTI9FhcenCkrwVJN6hEad4BnB08CrxEYLz67J8mStLtkMtzzK2RGM8VjAup/95iEq5onCrSuUHaj+JlPE8t+ezt9HD2GyIQkEKIE1P1A5bhRybj9+Hw45PeL3+3CZ2LQcMgTON8MGnh6/U8Z7RKf8gdlRcjFBbV4+vxxyE6MILteqXEnlWieA14lcIZYQuJk5viT3xZj1c4Gr5YdrIWVNbRBg/n/9n+bcZK4xdxx4nBDkQ7W9rJdJEACviMwIyce/z53PCLEzeNRUQg/2FCN5nZG7vCE+ANf7jBWhJw5LAnJch+jkMCBCFCJPhAh7jdN4McHp+PgIXG4ZN4603lDLcMOCQv42IIi3Pvpdjx3yWSJt53J8HWhdhKwvSTgZQLZMp/iV0fl4UiJ5X/zWxtx1/ztaKUi3Svl9eVNWLGzEUfIImJ3njis17TcSQJuAnzUcpPgt9cIjEiNweXKu5MfAAAa7klEQVSHDpUQHRb8XZ7srz08B7psLWVfAuo7/sePt6G+zYFlN81AbISNnPZFxL9IgAT6QEB9e3NEkdaxNyLMgn8t2okycbN7+txxfSgtNLJc/Nxa5MsKvL8SZhQS8JQALdGekmI6UwQ0JNCJY1LwtixN++TCEjTtXgiAE1w6MD4soah+/95WZMVH4tmLJiApKowKtKkzjIlJgAR6I6CKtH4ukggTd58y0kh6/JMr8Ia4jlH2EtC1Dc54djVmDk+UCCd5GCmKNIUEPCVAS7SnpJjOFAGN1nHY8ATMrcnAM0t2otXhxCXTs2TZ1NCOd6yLIdz49iaU1bbiCJlNf77M/h7P5dJNnVtMTAIk4DmB+MgwnDQmGZnxEZgnE77vkUVZ7DLZ8Nz/396ZR1dVZWl8h0BIgIQkgCFgDPOgKAShVEABxSXFKA6I5USt0i5t/aPV1pKupd29tKvKXr20tVyii6a1WkVKLSxLxQkVRRFlVJBBxiQCAUICgYTM6f074WIqxRDKvJf77t2HdXkvLzfvnv2dfb6zzz777DP4jKZ/ScDudJk4VCY2XT6yKFcYlRiffpKVHDBJTZxII2BGdKQRDvH3d2rXRm4dnimb9pfJou+KJCs1Ua49r0toEflcD6L5o3qBtmoO0km6AfOXF3ZzkwqP0EMLjAluCBgCEUdgSGZ7yeqYJfkHymXp9oOyXSfy1wzqLL3Sw+V59fi2VFdHX1xVIOt0A/yvLj1LhnXvEPE2sAcEDwEL5whem/pKokQ9mvb3k/tITvdk+URjgN/fHL5DAEoqqmXhxiJ5dulOWbv7kPx2Um/59WXZZkD7SlOtMoZA8BHAsfHMlf1kaFaK/N+Xu+Qp5aQVejjWIeWosBR255TrJssX1ICe8/kuDXfpKqN7pwmn71oxBE4XATOiTxcxu//0EdDAvP8Y30sqdensv5fky1f5h07/O2L0L0hfN1c39fzr29ukXA9N+fiXOTJGd8x7xWjbQ8JeDQFDIBoIpGjqtpvOz5AHL+8pX+WVyN1vbJbXvimMxqN984w5X+2Wpz/JlxydTNyoWFgxBP5eBMyI/nuRs787PQTUWnxKPdLnn5kid7+5WQ6UBf8QEdLX/fyPG+Txj/PkH3XH9ys3n3N6mNndhoAhYAhECIHrhpwhi24dIkPPSpHHFufK3GW7I/Qkf33tIx/myhzNnz12QCeZM72fvypntYk5BMyIjrkmi90KJ+hmw4fGZbu0S+PmfB27gjSh5i/pyYNX/2GtdExqI/NuHiQ/G2bejibAZrcYAoZAFBEg3O7+S7Lk1+qVXpZ3UIY+vlyWaLx0UMsDmhHp1ZUFMkU3VT42uT5jSVBlNbmig4BtLIwOzvaUowiQL3qCpr7brZtaJj63ViZrYvsbNAUTO8i9DR+xDNbqXYflIc39nNW+rdwx8kwZoWmT+lvKpFhuUqu7IRBoBDiYZcrZnaX/Ge3kCz3u+vdLvpdluSVy60+6SprGUFOCwM0Y0CtUvpkXdddMHBkWAx1orY6ecGZERw9re9JRBDpqTuRfaNaOnSUV8rzGppXqJo+fD+sq6UrYsUrWBSWV8taG/fLWxv2SrvKNH5guk87uJK1I1GrFEDAEDAEfI9BOPdI53TrI2Zrfv1L3buQXl8uDH+yQPp2TZELfdOmnBnasliINHXxW96VsLCiVa3My5HoNY0lRjo7VsSZW2yGo9TYjOqgt63O5MKQfHd9b7tBNLd/sPCwL2xfJBDU8MaRjqWA8v6vp+9YrQR8qr5HOmov1wbHZkp3WNpbEsLoaAoaAISBtNeTuzhHdZamm45z/zV55Tx0DuYXlcvXgLjKqR8eYQ2i5Zh4htG7/4SqZoSue0zXFaitdDTUDOuaa0rcVNiPaZ03TunVr7eThCFVvHR8ns6f2lbeVqL/UZbb96jGYcm4X6Zlab4D6GQtNNOLyXy9Ys09e1lRJ6R3ayIPjesq4fmnNqlHoAjjEhdyjjfzgYEUcPxgWIvHx8aHhypPpfXPzQxvl5dG9U901f81eeUbT4G0tPCJdpvaWlITWespqgjsJ8WR1aonfsebXWnUioU28Hu5VJyvyS2SurnSu1mxQr94yyHnVvXoFeX0QrqRvWIkOAjYqRQfnJj+ltLTUGQvJyeE4OQlDeqom/Ockw/9cnCcLvt0ni3+ZI1VqpB4sKZF27fy1jFir1nNpZY1s318uN8/fIFIr8qvLekQsTVJNTY2UKA4ZGRmhNhiqqqrk0KFDkpmZ2eS+FNQbKyoqBJ4IewGDOu2PHTvGnoe0OdsOfkhLa97Ju1e/q9Wp0VdDOv6kh0Td8eomGdwtWf5hRDfpp5/hzvVTbmW8yyWHS6Wsokr+svGQPLUkT3pntJfV9w73xAnFq8eVoRDWB0KGw+XpA6CbWoW77rpLFixY0NTbA3PfSN2A9+LPBso/X5wl455ZI//1yU6ZccPNsnTxh76S8b1NxXLZ02tk2vNr5fWfD5KV9wyT63Iid3xuQUGBzJgxQ4qKinyFQ7Qr884778jtt98e7cf68nnz5s2Tu+++25d1i2alZs2aJXPnzo3mI333rNraWrnppptk9erVEakbXumhelDWg5f3kKem9XNe6Os069BVz6+Tz3yWxaOyolyuvfNfpO+DC+X19UXy73o2wR+mD4gILn7+0mXLlsnMmTP9XMVA1c080T5rzvLycqmsrPRZraJTHTJ0jNFlxPj4Vu5Y2rwht8kf9mRKv6JK6Z2eEJ1KHOcpbBj83+W7Ne75sPTq3E7u1zR9/XQDTs+0+uNyI7lwhqftyJEjzuN2nKqF5iO8K+BgRcSwqNeCMHOl1w/gh7KyMmHFKlKFSLIkjZUekNFOuqYkyMheHWWVhkg8obmWH/5oh9yS01Umn9NJUjWdZzQLnmcvLGN9QZnMenuLrM+eIvNvuFBG9+0iaQmRZOZoSnp6z0IXjCtPD7Mfc7cZ0T8GvQj8bdjj/JJ1w+HlfdOktxqprz+3QY4UdZJHP90preOqZfo5XWRMnx9O+4sA/Me+sljjszmqG+O5V2qi88ZcqvXqo0b0GN1gk6iDSrRKWGLkT4YnGFicXz1CYGE6UR8THfa9AmhEc8dEn6gfkmmIjd9sMCTEo1eXJDWmD8sq3bz36bYDkqTx0iN6pMgk3SDeQR0ikS4Y0Kt0U/pzK3bLVnW0dJAqydzyllyQdpl01fDAsBb6hPFD9Fo/8poePVnsSQFBgCXE/p0SJXXXVzJ8bI50zk6Xrzbv0g2IhfKpHgjQKy1RY/IS5fzuKc0ak7dpb5ks1c0oG/W1QtPuxamrgxyqo9V4HtcnzXlhAgKxiWEIGAKGwN+NQEaHBJmkJ/6N0NMOP9ec0nBnnqbF+0KzeqzZdUi6Km/2V4dDH+XxvvrasDT0IDf8vCnvy5WXlytHf6ZXhabiO1Je7WKzRyk/D02pkrW/XSnlpSVN+Sq7xxBoFgR8Y0SzLGWzJ12e0llkmzbhnUU31OqaqkoZlpUs43M6yrQBHeVP6wrlg83F6pFMkPySMtlSUifdU9pKojqFU5NaS//0puPGxsUt+yulsLxWCkurpEw3C+7UY7q/013ouzUdUif1ZFyjnu8p/Vt2g2diYqKDxHttiE+Y3tMnzOtY3+J4Ho0r67ky7FlKvNWZhISWCXfDMz15YCd3HVB79r1NB+XDrcWyLa9c8g/UyLf7qqRH52pppxkz0pSoB6rzI7WtF4RxagbbU6qhCWo47yurlq0HKqW0olq2a8q975S7S/T9ZWo83zY8Q1IRv65K/ql1W2mTWB9md+pvD+YdxpX17Qo3YFdGuvjGiGaAZPf9vn373GukBffj95OJgji/PXv2SGFhocvK4Md6RrpO6AKDQ1V1tZLxTqcT5aWHZVpGnEzvliDxcZXy8KI8+Z+FezSVUSvJTO0g/TNT5KEJ/aQuLl6vVu5qnIcpTjfhUBJb18nX+cXy0pf5siF3r6zbeUiSdDAYq4R8x4Xd5bJRaXK4okYqawtl27Z9kRb3hN/PwLhjxw5HBJs2bZJu3bq5eNgT/kFAf0Gmml27dglZKb7//vvQ7hmgeVNSUur7w1GeCGuWjg4dOrhY4P379wvXwYPBPar6RN2aiRTx8dXKk7m5uZKdne0wOdH9kf48Xnl7VHKcjP9JK9lSWCN/Wb9HPtYsGQs133RSB/VMd02VX4zsIVMHZ+oBW0eNG7i6VYPYZTV64o4aPgnxdfLCsjzZo7n4V+4olK827JSsrh1kmjo3fqdHlXfW8bKs6ogc3LVdSvQ7iouLhY2WW7dskcS2bR1fRFpmv31/+/btJT8/3+nE9u3bXfWiYUj6DQcy9sAL0XC8xB04cCDypvopEEbghx9+WObMmSNJSeGeRWI8ovSQQdgLWIDD8UiA+Ly4ulqpbpcu5clZUtUuTcpSsqU2KU2qElOlMjFd6tpovukGM9E2R4odpK1L90nb0gJJLMmXtNwlJN51n3NrHf9avEf80PKQAIPliXD44c5gv/NwiOQGqlhBEH0Aj7Bj4Xnjw86VJ+PJltJpfM2eAROncXHVbTtKeUqWlKX2lIrk7lKX0M7xbA1cnaRcHV/vz4urrpTWFUyI4iSh4oAkHtghcbXVklS0RZIL1uh9eqqt8jOpRo9X/IjF8eoZyc+MK+vRZXPlxIkTZfbs2RGdZPvCiKbR2WGMV8XreJFUMj9/N/Ifz2j0c50jVbdTYeEWBY96nfE+18QpESt+eta2msJqGDdeNTxKvM4jXVcj8WqEt6rRTCjcd5STj0/NkZKwad97Khya9i2xf5fh8EMbGhZ0deNKNMLPONRzNLWsXx2sVY9xrajnGZ52HzfiaiVgPnFFHShxytPujtoaaaXGNL85GUf7GYt6oaLzv+GA/6xOCINkJTOSNpUvjGjUihlktGJYoqPG9pRoIeBIVw1iVzwPhff6V5U4Sty8OBKH2I9+9lf32Q+GgCFgCBgCzYnAMZ5uyM3OIm5sFjfmaa0FzhIcIyc1oZuztvZdsY4AEwlCnSK9YuebmGgEjbSwsa4UVv8fi0Bjso5cbtUfW1P7e0PAEDAEwolAY54GBePqcOqC/6WuDwb1fz2thoaAIWAIGAKGgCFgCBgChoBvEDAj2jdNYRUxBAwBQ8AQMAQMAUPAEIgVBMyIjpWWsnoaAoaAIWAIGAKGgCFgCPgGATOifdMUVhFDwBAwBAwBQ8AQMAQMgVhBwBcbC0k/wsESbTVBOoW8n1wcrhDJ1CR+byQyloAJOIRx0yWye6c3ssu2srLS6YXf2y0S9TMsfkDVy+TDQRNhyhEMR3qnFcIH8EKY5P9BA+rfkScafgADdCFshewD8IJ3aiP8CA5hGzPhA/oGr54uhFEfGuo/usGZG2G0HdB/Utt5tgM6wcVBdpEovkhxx0l9ixYtkvfff19IkA0pcDrb9ddfLxkZGaEkSJTgu+++k1deeUWmTZvmTqNCKcJCkBDin//8Z1m6dKnLIX7++efLlVdeKRzMExYM6PBevs833nhDli1b5vrHhRdeKJMmTYp4/stIEM6P+U70H71Yt26drFmzRoYPHy59+/YNxQmGGEsffvihfPTRR7J37145++yzZcaMGZKenv5jII3Jv6VPcGLh1q1bZfXq1cIpbZdeemko9MBrMPoBJ/zCkStXrnQHMl1xxRVy8cUXO+MJoyEMhX7Baa7w4+bNm6Vz584yffp06devnzOiwjRWeO3NhKKoqEiefvpp+elPfyr9+/d3RmVYdILJw8svv+z6BZMIdKRXr15y4403uvfNjYMvwjnwqjAwclwlxtKAAQPkrLPOOuZl8JQjLK8Y0BxzDDEwueD4SsiAwSPoBRlRcoykTz/9VFJTUyUzM1PWr18vCxcuDAUGXhuDBd4lDAUMqC5dukhWVpasXbtWFixYcGym7d0f1FdwQP858vvFF1+Uxx9/3E0oDh8+7IzqoMrdUK4devz7m2++6VakmDjADy+88ILrD2HghYZYcCgXWDzxxBOOI3fv3h0aPQAHz4BmUv3JJ59Inz59JC0tTRYvXuwujIYwFHDYuXOnLFmyRLboUd/nnnuuO7DtrbfecrYExmTYCjLrKdQCBu+9957QN5rbaPQ7poyZy5cvd55n7MmBAwfKmWeeecwh1dz1bzEjGuLnYkmusLDQedh69uwpU6ZMkauvvlquu+4653UMQxiDhwWNCx4sO6xatcoZT3iavONtgz6r9nCgzSFFjMZbb71Vbr/9dunUqZN8+eWXbgDhvqAXr2+wLPn111+7ycQtt9wi9957r+sXH3zwwbFl3KBi4emD194lJSVuMsVkGx2hX4ShTyDjihUrnIEwfvx4eeCBB+S8884TdICVuzAVsGCQZJUOjmAi5YUzhAUHjEcMpY0bN7pJ9Z133il33XWXc7Z88cUXLrQhDFjQ7hiJeORHjBgh999/v4wbN042bNjgPveW88OABTLCh/QN5McBxapt2PoGOOzZs8dNHM455xy3eo09yWo+WERivGixmGhPGARjNonbnaO/33nnHSfokCFDjnmjvXsBKIiloXzgARFu27ZNevfu7ZTBMyJ4bXhv0LDwZENOViIGDx7sThyCFPgdIT7Mqr37giZ/Q3mQkQssmEDk5OS48A2MBgYHViuCjkNj+Qjtmjx5stMNPLNhmWCDAwbjoEGDpGvXrs5IYnkSYwoHRPfu3UMxoaB/0B9Yrh07dqxbuseQxHAIU0EfaHtWpcCBfgAGeKDD4oWmvdknk5KSIiNHjnQOF5wNGFBnnHGGC/cJAz801Htsh2+//dat4mZnZ7txA890Yx5t+DdBew8/MDYwoSgoKJC3337b8eXQoUPdinYkHC9R9UQjIJ61gwcPOmVH4TEKmFUzm6Sx+T3LVI888ogzroO6JONhgew0NlgwiSB0491333U4EBPO0iVkADZB7AzggOedGC5w2Ldvn5N92LBhzmj4+OOP5dFHH3VeeeL9gr40hWcRHfCwAB9iwb0JxUsvvSR5eXkuJjqogwR6Di8Q+wsO6Aa8QGgPk2sGiEh5Ffw6qKAXGEgeH2JEJScnO5yCyAsnawdwYEJB3Cux0UHnhMZY0BeYTMELhD4yhsyePVvYW3TJJZc4h1Tjvwniz/Bfjx495IILLnBG05NPPilz5sxx4S1MLDGyw1IwDuHMxRrSs337drntttvcxApdCeo4caK2LS4udnYTYyerl6zY/eY3v3H9Apyau0TVE40HLTc318XrEOeJkGyGYFPIRRdd5BqdwZElGTbNEPdHiAf3BW2gYDBkIwQzpW+++cYNjiw58J6GZzb9+eefO+OapVxieogNjsRMqrmV6nS+j/ZGF9hUSuf3vI3EfWI0sUlk4sSJ8uqrr8pjjz0m8+fPdxiczjNi5V4MI0JWiIMn/pc2nzp1qhsk0IXnnnvODZ4zZ850nukgeuDQbwxG4vlYkmTCjeGMDrA8h8xhM5rQX7iTAZGLwsDI6l3Ylqyd8PofOsAVtHHBk+9Ur14/wUBgYs0mWzZOER8dqSwEp6pTtH/vGUkYy2woxFAivOOee+5xY+W11157rL9Eu27Rfh4rk4yNrNriZIA7cUIQFso4wubboNkOx8MYPrj88svdCg3vwYWNt/fdd59btePn5rYno2pEezPoa665RiZMmOAwwFhk0xSeaLIOsGztzSQwsLi8geN4oMXqZxgDLMcxWSAOnIaFCJAXA4rBkaVaBkq80dwfxAEDAmRDCB0f8meplgnG3LlzncHIxAISwKDG44IuBHXJEqOAjRBMIGh3sODCgGajyA033OD6CHHyGNz0GfQmSAUMaH8m1hgG6AcDAO0fJs+S16Zen6cPMNmEIyms2NAf4E90wbvP+7swvQatD5yq7Whv2p7MRRhLs2bNchkY4AUmV6xohgETDCJWbQnjIKQDmwK+ZBIOBnAJOIShb8CNhHgxhqIfrN55tgOvYcDA0/l58+Y5G2HMmDHOpgIb9AF9YSKBXjRniaoRTUNiAHkxfAiC4BgNZBuAEDAsMR7ZQMN7/iaICoBMNCqDIw1LoXEJY2A3KR2B+CYyMbBk5xlOQcMCeYhra7iBEhLE+4j3GcMBYmQiQboebznbARaw/8ACY5EYaHSCCRWrMa+//rrzKIDBZ5995iZUeJy8JbuAweA4gQklS9bwA4YBROjpPj+jI7x6xBk0DDx5kBkZR48e7Twqzz77rDz//PNuUMA7TzhDWAt8iYHAFaaCgwWPK7zAaiZjBeMqDoZRo0a5TVT0j6AX+j88SGavZ555xi3bs4rLihVjJn3H44ygY0HbIzP2BAUvNHurSG8Xlom2x5XoxGuvveaytnjONzYXRoor43Wn97851KP4H+RHB/AuBkyIgIESguDnq666yi3JBH2QbIgF74lrI10RRiUxjxiYeCf5OahYoPzoAu3PhZxMtCAG3qMTkAFGA9gEmRgbYuFhgse5h8b+oQNMvNARQnuYbKEzQSwNcfBk9PSfV8gRzwt9xPt9EHFAJuSl7eFIZGWCRX9glQb5w1rQEQZGnC30h6DrgdfOtD8eR1Yn2XyODuBoYMUGniAEEh4NeqG9GQ8YI8ECpwNYME7AjYwbQR4rGrcvYwO8CFeACT/jlCPLFdiEBQtCQtF/5MXpxio3XImuRKL44rAVBgkanFe8CpABJIERFZaGb9y4yM2gCS5ggkEVpsJAgR4gO3oBIUKUXGEqyA4O6AIFveAz+gaead6HraALXOiGN+kKAwZMnjxDkUER+dGDsBb6hGcoMV6EpS/AAbQ/+gBPUjxeQCfwQocFC2THC4+xBB/ClfQJxgmvr3BP2Artz8QKLDyDMiwYILunB/QL9MOzJyOBgS+M6IaCAQCCWzEEQMAbDEwnTB8MgXoEjCNNEwyBv0XA+sXfYhL2T6KhE1GNiW5Kg5qx1BSUwnOP6UN42tokbRoC1ieahpPdFS4ErF+Eq72bIm00dKL5k+Y1RTK7xxAwBAwBQ8AQMAQMAUPAEIhhBMyIjuHGs6obAoaAIWAIGAKGgCFgCLQMAmZEtwzu9lRDwBAwBAwBQ8AQMAQMgRhGwIzoGG48q7ohYAgYAoaAIWAIGAKGQMsgYEZ0y+BuTzUEDAFDwBAwBAwBQ8AQiGEEzIiO4cazqhsChoAhYAgYAoaAIWAItAwCZkS3DO72VEPAEDAEDAFDwBAwBAyBGEbAjOgYbjyruiFgCBgChoAhYAgYAoZAyyDw/2VyD23Wz+xEAAAAAElFTkSuQmCC","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: 740.5px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 370.25px; transform-origin: 407px 370.25px; vertical-align: baseline; "><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; "><a target='_blank' href = "https://en.wikipedia.org/wiki/Inflection_point"><span style=""><span style="font-weight: 700; ">Inflection points </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: 325px 8px; transform-origin: 325px 8px; unicode-bidi: normal; "><span style="">are points along the graph curve of a function, where the curvature of the curve changes from concave to convex, or vice versa. Consider the following the following binomial product function:</span></span></div><div style="block-size: 45px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22.5px; text-align: left; transform-origin: 384px 22.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><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: 64px 8px; transform-origin: 64px 8px; unicode-bidi: normal; "><span style="">                                </span></span><span style="vertical-align:-17px"><img 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" style="width: 420.5px; height: 45px;" width="420.5" height="45"></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: 67px 8px; transform-origin: 67px 8px; unicode-bidi: normal; "><span style="">where the coefficient </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" style="width: 12.5px; height: 20px;" width="12.5" 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: 78px 8px; transform-origin: 78px 8px; unicode-bidi: normal; "><span style=""> are given by the vector, </span></span><span style="vertical-align:-6px"><img src="data:image/png;base64,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" style="width: 212.5px; height: 20px;" width="212.5" 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: 4px 8px; transform-origin: 4px 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: 112.5px 8px; transform-origin: 112.5px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">Write a function that outputs an array of the </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);">x</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: 127px 8px; transform-origin: 127px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">-coordinates all of the inflections of </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 31.5px; height: 18.5px;" width="31.5" 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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">.</span></span></div><div 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; "><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: 48.5px 8px; transform-origin: 48.5px 8px; unicode-bidi: normal; "><span style="">For example, if </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 141px; height: 18.5px;" width="141" 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: 2px 8px; transform-origin: 2px 8px; unicode-bidi: normal; "><span style="">:</span></span></div><div style="block-size: 45px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 22.5px; text-align: left; transform-origin: 384px 22.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><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: 64px 8px; transform-origin: 64px 8px; unicode-bidi: normal; "><span style="">                                </span></span><span style="vertical-align:-17px"><img 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" style="width: 359px; height: 45px;" width="359" height="45"></span></div><div 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; "><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: 153.5px 8px; transform-origin: 153.5px 8px; unicode-bidi: normal; "><span style="">The plot of the function shows 2 inflection points:</span></span></div><div style="block-size: 358.5px; 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 179.25px; text-align: left; transform-origin: 384px 179.25px; 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: 96px 8px; transform-origin: 96px 8px; unicode-bidi: normal; "><span style="">                                                </span></span><img class="imageNode" style="vertical-align: baseline;width: 361px;height: 353px" 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" data-image-state="image-loaded" width="361" height="353"></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: 169px 8px; transform-origin: 169px 8px; unicode-bidi: normal; "><span style="">Therefore, the function output in this case should be: </span></span><span style="vertical-align:-5px"><img src="data:image/png;base64,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" style="width: 117px; height: 18.5px;" width="117" 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: 4px 8px; transform-origin: 4px 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: 140.5px 8px; transform-origin: 140.5px 8px; unicode-bidi: normal; "><span style="font-weight: 700; ">Please present the output rounded to 4 decimal places and sorted ascending.</span></span></div><div 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; "><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: 35px 8px; transform-origin: 35px 8px; unicode-bidi: normal; "><span style="">--------------</span></span></div><div 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; "><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: 242px 8px; transform-origin: 242px 8px; unicode-bidi: normal; "><span style="">NOTE: As an added challenge, some MATLAB built-in functions are disabled.</span></span></div></div></div>

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Problem 55410. Easy Sequences 70: Inflection Points of Binomial Product Function

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Problem 55410. Easy Sequences 70: Inflection Points of Binomial Product Function

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