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} a[href^="https:"] { text-decoration: underline; } code > span.kw { color: #555; font-weight: bold; } code > span.dt { color: #902000; } code > span.dv { color: #40a070; } code > span.bn { color: #d14; } code > span.fl { color: #d14; } code > span.ch { color: #d14; } code > span.st { color: #d14; } code > span.co { color: #888888; font-style: italic; } code > span.ot { color: #007020; } code > span.al { color: #ff0000; font-weight: bold; } code > span.fu { color: #900; font-weight: bold; } code > span.er { color: #a61717; background-color: #e3d2d2; } </style> </head> <body> <h1 class="title toc-ignore">Getting Started</h1> <p><em>gganimate</em> is an extension of the <em>grammar of graphics</em>, as implemented by the <a href="https://ggplot2.tidyverse.org"><em>ggplot2</em></a> package, that adds support for declaring animations using an API familiar to users of <em>ggplot2</em>.</p> <blockquote> <p>The following introduction assumes familiarity with <em>ggplot2</em> to the extent that constructing static plots and reading standard <em>ggplot2</em> code feels natural. If you are new to both <em>ggplot2</em> and <em>gganimate</em> you’ll benefit from exploring the trove of <em>ggplot2</em> documentation, tutorials, and courses available online first (see the <a href="https://ggplot2.tidyverse.org/#learning-ggplot2"><em>ggplot2</em> webpage</a> for some pointers).</p> </blockquote> <div id="your-first-animation" class="section level2"> <h2>Your First Animation</h2> <p>We’ll jump right into our first animation. Don’t worry too much about understanding the code, as we’ll dissect it later.</p> <div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a><span class="fu">library</span>(gganimate)</span> <span id="cb1-2"><a href="#cb1-2" aria-hidden="true" tabindex="-1"></a><span class="co">#> Loading required package: ggplot2</span></span> <span id="cb1-3"><a href="#cb1-3" aria-hidden="true" tabindex="-1"></a></span> <span id="cb1-4"><a href="#cb1-4" aria-hidden="true" tabindex="-1"></a><span class="co"># We'll start with a static plot</span></span> <span id="cb1-5"><a href="#cb1-5" aria-hidden="true" tabindex="-1"></a>p <span class="ot"><-</span> <span class="fu">ggplot</span>(iris, <span class="fu">aes</span>(<span class="at">x =</span> Petal.Width, <span class="at">y =</span> Petal.Length)) <span class="sc">+</span> </span> <span id="cb1-6"><a href="#cb1-6" aria-hidden="true" tabindex="-1"></a> <span class="fu">geom_point</span>()</span> <span id="cb1-7"><a href="#cb1-7" aria-hidden="true" tabindex="-1"></a></span> <span id="cb1-8"><a href="#cb1-8" aria-hidden="true" tabindex="-1"></a><span class="fu">plot</span>(p)</span></code></pre></div> <p><img 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" width="100%" /></p> <p>You go from a static plot made with <em>ggplot2</em> to an animated one, simply by adding on functions from <em>gganimate</em>.</p> <div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a>anim <span class="ot"><-</span> p <span class="sc">+</span> </span> <span id="cb2-2"><a href="#cb2-2" aria-hidden="true" tabindex="-1"></a> <span class="fu">transition_states</span>(Species,</span> <span id="cb2-3"><a href="#cb2-3" aria-hidden="true" tabindex="-1"></a> <span class="at">transition_length =</span> <span class="dv">2</span>,</span> <span id="cb2-4"><a href="#cb2-4" aria-hidden="true" tabindex="-1"></a> <span class="at">state_length =</span> <span class="dv">1</span>)</span> <span id="cb2-5"><a href="#cb2-5" aria-hidden="true" tabindex="-1"></a></span> <span id="cb2-6"><a href="#cb2-6" aria-hidden="true" tabindex="-1"></a>anim</span></code></pre></div> <p><img src="data:image/gif;base64,R0lGODlhIAEgAYAAAAAAAAAAACH/C05FVFNDQVBFMi4wAwEAAAAh+QQFPAAAACwAAAAAIAEgAYcAAADm5ub////39/ft7e3q6uru7u7r6+vo6OgAAAD+/v7z8/P8/Pzx8fHn5+fv7+/s7Ozp6eny8vL5+fn19fX4+Pj7+/v09PTw8PD6+vr9/f329vbOzs6amprg4OB1dXUmJiZYWFiJiYnj4+MTExNVVVWOjo5MTEy/v788PDxNTU3f39/e3t49PT1cXFzMzMzHx8d6enrh4eHa2toFBQUbGxvW1tbR0dHQ0NC8vLwuLi4zMzOnp6d5eXnLy8vExMRmZmYrKyt3d3eDg4O+vr5LS0vZ2dkHBwd2dnYhISFOTk7Pz8/S0tKkpKTFxcXU1NQBAQHl5eVGRkZra2soKCi5ubnV1dXi4uIICAjY2Njd3d0iIiJpaWmBgYEPDw9ERETb29uKiorc3NyAgIBRUVEDAwN9fX2Tk5NiYmI/Pz+Xl5eHh4egoKChoaEEBARSUlKWlpazs7O0tLS9vb1ISEi1tbWNjY05OTk2NjYSEhJTU1NsbGyqqqoYGBicnJyMjIzBwcEMDAxubm5/f39jY2NUVFQ0NDSjo6OIiIiZmZlFRUVWVlafn5/GxsYGBgZ+fn4dHR0wMDBdXV2GhobNzc0NDQ24uLgKCgoCAgJJSUlCQkJ7e3tkZGS7u7uLi4udnZ03NzeRkZEQEBAODg5qamoVFRVQUFBAQEBlZWVZWVmSkpLAwMCEhIQXFxcLCws6OjoWFhZbW1tDQ0NtbW0cHBy3t7ewsLDJycmxsbEJCQl0dHTT09OlpaXCwsJKSkpzc3NfX18fHx9oaGjk5OTIyMiQkJCysrIxMTFnZ2dPT087Ozs4ODhhYWGPj4/KysoqKipvb29HR0dgYGAgICDDw8Obm5uurq41NTVycnJXV1cpKSleXl4REREyMjJ8fHxxcXHX19esrKwlJSUZGRlaWloeHh4vLy94eHhwcHAkJCSCgoKvr6+YmJipqam6urqVlZUUFBSrq6utra2mpqYaGhq2traioqItLS0+Pj4nJycsLCyUlJQAAAAAAAAAAAAAAAAI/wAFCBxIsKDBgwgTKlzIsKHDhxAjSpxIsaLFixgzatzIsaPHjyBDihxJsqTJkyhTqlzJsqXLlzBjypxJs6bNmzhz6tzJs6fPnyYNUDBAoKjRo0iTLkjKtKlQok2jGl0qVarQB1WlUs3K9CrXplu/IqWAVSzSsGaLUsAQdUHLAwIKBJhLt67duwPu6t1bQMCBvYDr5g0cuC8EwoEHI9YbQQCBxXsVQ66LQICByXgx23VgGTCBt3E1CxZNt+9f0gEkazaMOnXrxo9Rq8Zc+bLs1pxt6/3MEq7c26hNt549mTVw0rCHt66tHHVuz6B/kyYOWfhx0canv3bcnDTz65qf7//lvdJ3d+x+z68WcBg85uTuJ3/X7rzz+OjqMVunTzq7aOqLwcefaPP9h5t9u7VUgQAVDODggxBGKCEDElZo4YINWqjhgxRuuOGCE3i4YYciVghiiRaSiGKEAoS4YoQqvuhgixq61Vto8VWXXo6L+acZgIgJaCBqBf54oG53kaeSeTwitt+Q/bGX32RCGkkkglCKJl6CN0qX5XqnDbhee2K+x12ThBWJGZCEbZkkfmgWtmOZxUkZJ2BVrrkcllaS5qZdSqbEJJ06hvmlfnYSGuCZiiKm5mRsBvZnXYGiNOihdRraJ3pkYgpZnpDuieSm4fFJKZyNEvYkqYh2yiqVjHr/utijkEUK2KR0VXrSpa8WOqWOruqJGqi1ivrrYrjOpatJvAobpabOcnpskLH2OqupodY36qldTqvqnLI6mWi4hBG7mK170XrukdB1eydf4ForbrDZIldttJqpixi6eiUbwLIlNVsvetAOPKa3gZm7r7Hv9outsqiSK2fBxQY3rrzl3mswbQ+vq2275eGY6sQIA+YjvmbGNjJg+hLG713+AkySwBU/WzK89NYsmsIuM7zyXjFHjDHJDd918sawqiwxyx0v/PF97v6s16oo15mzx/YqPTTT2yINWdBRLw0vxVhLW7RdPCfms9gOdw1x2FuPffPUF1f9qcY659t0z09z/xmyl3HTTbbTUV5N+M54l62324pjBvbfcxsdr9091u31olpT7ujeavf9Jtyafzs434VHjnbihy9uel2PLyky25KP3nnpZ9eVNmAv29Xy7Fp2LPNINDee6eqlWZ53ysTPtTvu7EINee3Fy868xYaTjnjml2/OeOqO+y506ERLLXn1vGt2e2RrBw6z96BnL3ryARx9fNLwL4++54B+7374sNslv/B3w978IGM/veSOdex7nvj8N7n9mcx4AMRc/Tg3PT8l0HWAA98DpXc/2i3QdqiznuqgN5fWCep16mMgBw3Ymv9xj34kDEABM4M/bimwf3WhmgNxBr/zsfBK2xNh9/8Y9zuLIMASM0hI8F7oqxi6UIgw/CBdZmiXA9LFhBvhQAk6wAU7IGSJUGyiFOfyxPIhL4ZUHE0NcwUSIMCAQWaYwEHAaMbhORGCTJQgGinYwd4R8SMX0IQBqsCCgnzikKu4gAAW0IBGOvKRkIxkBiJJyUq65QKVzOQjJ6lJTV6yk5rkJCgpKQEBUGCUlRQlKh9ZylOuEpKqfGUjTZlJDHyEBUVAhQlcYAKCBOGXSFCAABRAzGIa85jITKYylznMZTrzmdAkZjOjSc1qCtOa2ITmNLPJzWNuE5kU+IgYUsABU9KhlAahYwUJBr8yrtN8IawjAfn4Qwv+0SMSSMGCBCD/iSXMEYUalNsdyffOM45RhvSkoT1B1pE9xEEALJBFONMJ0B0Krp14DKMeD5pGulixhBfkiAyAQYhk9OKLFR1g5VaoULMd1IctHeFBscgRAwgTpRm0aOwwStA+wlOAEdQe/GjKrJQG9X0D7WE8CyqfhFaxeX7DIEZZ+lTqKRWoeRRqDIkaMKNmFakHdadPDYrDKTpVjQt1nlTvSFW0urSsc4FpVb1zVo9C9XM3TGEOG6jSeV11gkGUJ7JCaimvalRcbbWrVWMoV7fKFK4B4OrMDCtYxPL0r3sMLFO/RthdUXazK70sY5c61qZqtrScvWdeA3rRpI4Wq4dNU13n8tHI/3a2qDntK1ghK9Z6Xg+wQ71tV3N7VP7ptXg99e1PgbtV4U6WuF81LmvHh1mOztY1a3zbanWqQtG+lLTK5dhpwzsZyQLvs6gNrWu/C9vKyna8MR0iQ08I3dhKl7t7TW58owjZjtL2rvlrn27vO+AH6neuv81scFW71rDytbgGrm5/r1tb84pEnem17Hoh21jF0hW+CC4Vg+k7Ve9yGLz7nSeIHStftZKYrSY+blxRHGLxLni+ha2vewkMYR6+lrkzde55dQxaDTv4wCzmr4wRumIP+xHHniVyhne75N6meKMTbvJ/s/sv/RVYoEeW8JL9i920RvXFDk7slj144vYW+f+9N3Zxjku84SV3eM0EojCAbdhg3j44uhH+sYKbO+I5w7jO0z2dm6ccGDJXWMgXRi95xehnJDt5uYMOcqEbEgUbeNoGw6AIhiet3jAL2rpaLvOT5bwQOXghAbCGdQko0gABsCUtRpkAro1iywbsuii6/vUDBODrXwd718OWwK8JcGxcG0AAyjb2sp+NlqMMGyI1WAQ1VsDtFfRlIqWUwAPGTe5ym/vcGTi3utcd7nW7u9zpfve7a70Aeb873vZWN73zvW5887vctrzAv9E9cHMH3N22fEgDEhDqjIz6ykautJgTTRk9c7mIBZlGIzTy8Brb0dTsBTJkLSyQWxCBCJv/qAEcqnByIjxB1JKGOJUpjtyJ49esqX70pg8ShFj7XNYwlzKpI17ljO4YTzROsorjfOaEZKhCGQg6nUHeZpEvmeQE+YKNBMKIVEj90FS3c9IvbWNCQ/kgxBjCELCwCbUPYQyRmPVEOq70Ukv81FlmOl4XAoFX7KAMkdiB4JdhCn/OPeYep3TRLY1nTKNa7wF+iAq2fhG6k/3jdw95pkcO6YJYgQmgB/0TPLDPiFi+8YhSs6oPhvcxW9zMe2/Iq3+egFwgQiKnX33qY0zzGS966HA2O6sVUoxnJMIDP9gECX7QBhJYw/SIrzvRex8/o785YWNHvWkhz2eGaMALcyCI/ykeIQBvkAL6Qpc5jwHtY80/XvhNVwgFHAEGgpACFQLoQCHQP/XMV33zV9d5BHEKyZAFAkEJl9AGGCALasB/YOd/Yvd76sc13MdGEAEGz5AAwQAJUEAICsAFtBAFDphmvHdzvmd11Id1BEEBnRAGqlBOAgAGijSCfqZ6tWVliYdlrpdze2aB2/VlrRV21Hdnurd98Bd7DVEBMjADTDgDAfB1JIhoJhgARFhbjtaD2uUQ4SAKPyd3uBd9l6d41IeD0pcxEpiDWqVpZ5cQsCANtwAGcAgGnHF46YeGMzeFZBiGOkh9V3hxELFwjeFwYKh9YoiH1sdoSHeGZdhor7dq8f+nEElQBxw3iEVYiEBIXa3Hh40oYmuIELwAAongDi33cnTYf4tnc5eoO5vYYo+YELPnc15Ig0Vngy10iMCHfYqoh2nIeTvndBISdaX4gKeYiVPYh7AXeQ+xATzQBVHgAxpQEbl3g39mX4Hmfnl3hMjYEDYQDEdAAxxAB3cwh19Yh4u4QSWYiiCUi4R4LTzohxBxByHQAFvAAQigDL0UjFEohFNYhemTggIoEBRQBkk0jwLAB18AhTV4jj3GGNlXiexYgVnIEBNAA/5EkIMgBQg5iwrJfgypjg65iwHYiwhRBKfgDFvwA7wAC/c4jqY4hrY4gXvBj0AEkV0GEVGABwn/AAU0kAAhwAAKQQToRFHkqIt3iI41R4xGqTyrWF7/OBAKAAiJwAiGlxCAkAIegFMtaYiM95FmiIJTqIIIcQhn8EXAcAJX+U9DuY7Tp5WouJB3YYyOiIQRMQux6JS/4AOFcJYCkQJ82QU+yQCAGZiCOZiEyQAKUJiIWZgCkJiMGZiH2ZiMuZiQmZiPOZmKaZmIWZmYKZiSuZmCqZme6ZMakJgzWBF0eRB8UAwCkJcE8QeuKQfhRAELMJu0WZu2eZsWcJu6uZuxuZu+WZu5+Zu/qUgbIJy/GZzGqZvEmZy7iZzMWZvL+Zy26ZzSOZsCMAC+WWsWcZoFwQLMsCCsiZZZ/5mU1beVtSWTH0aTGKcQ3EkQ1aAJiqAIKfAFtyCewuiS5rkdHmmFS5lanUgQnyACAjqgAvoKdVkQ4SmU4+mWDJSfw9KQ/NmOx9h9CfEKJHChGIqhaKAQCVoQ0ViLtLhY1riD6ullDLpXIcpmEeiV5AmWHfGhFpOib7WiAOiPItkQsSAEGemSMsp6I6qJEhqX2SgRQrCSssijG0mNMQmh/fiVTfmilCiNPdoqbcmRb9mfg3WjA7EETtClXuqlRrCjhjilVlOlSqoXcMmJw2cQPUd7QIePCSmF5ImeeRakatqKBSEBGLCnfMqnE8WS98mWSHmiOFeiEbEBI8BtYkAJVf8gpuSpQ4/6knaIiyxKqCClpQVxCK7wc/gHpxopp5ZKhUw6k9hIoQvRB8CQA5VADKowDhDgqKEKqbEqqeW4pPvZpC3alBiQACMgAFtggJ6ADbBqpd0FqsSajpV6rFfUlBlAA3DhC58gAL2gDMN6pjtlrNaqaMmarQiEqQRhCKQgATFABxlwDi5QrUcHZhA4hKOanqXqgw7hDK3AByuQB45QBpLoqUiKrenakdvar+vjrQQxAW4hA9Wgl4Caj+u6j+1ap4b6EFpHEF2Hrtdnjvxasbb6rxjbNv85EGm3dm2ndnB3oA4BozZzsYiYsTXqpN7ad38XeINXeBSbskG4sHP/2rCPFZIdWxCTN4lpyZXrx61H+aPFiKWI4aIcYbLshLK3mIgaS7MBu7MFoYzM6IzQGKUgmqQAq60rm6sCKxDb2I3fGI4z27TqOoxES55pyopyqRDwKI/0aI9lC5M1i7b/935quKYHEZADWU4GObeTarH6eLO3Sqp5i6cGMZEVWU4XCbi1Wrf4aaZbW3F2yrZDuhAkaZIoqZKOS5RBO7lDe7fXeLhtmxA3mZM72ZOdq5ZFOasOmjVPa7Ycq7cGkQER8JRROZX6OqZau7F3Qac5a6NSmwGkgAUJAAI/IIg/K6W9C7Vci7e8KLVn4AaboAbmQAt/erXLm7VMS7e/i7Nl/0e6l3sQijAFArELCXBSF4EhMgIhMfIi7Nu+DvK+K3Ii8jsA9Isi9iu/+YsiNHK//Vsi/1shlKcQxxAKA1EKh4ARSgsmzSu731u47iq+pspzDSgQVJAIDIy1MfrA3vu8oxu9tDsQQXDBApDBG7y9Hdy9gauy0KuzIywQQUAHMVDDJJAJNRwDPLC6QCu4NhuqwBu+Ioy4AxENSXDESIzE5ru7kUqmwCK5vquKlcuUXwulKnyygwvE4GuEFAyvaBanWaysJ9i1oYq0G9HAu8fCjxvBsfvB3Sq1H4HGmGe3NPrCwhvDICHHlui6UOy8lPuwffapYSy0Y2zHLAvHHqHHdv9Hx+wqwQ77rhFpaArLyAzryMF7yHgcxxyMxT8sxqJqyUIMw0QcEoq8lpH6uglmyF6LyFa8oJ6ch6xLqWTsyWbss65MyOXZxxAsxYD8xYLcybgcxFw8xKX7XLcMumREq57rtLOMy7WsvMccxfmly25cqJBckz84q05cOajseCEsysU8ZNHsx6Fbx998x6Ocx5u8tIOMzJ/cxi08u+msyVfMzsDszsK8dNe8nvQ8zrs8zYPqyWtLxayctOvswGq8zC58zpg8z4l80GncztJMF/n8kPtsoq88je4Myz280CR60QKmzR4cz2zczO78zCnsz9WczN1MVh/dxZEcZSpN0g3/Ss00/ccgnc0Zvc1+FdC4PND+mckSYQCd8IRYGainbNNrzMs53RG24AIdgAzNcNSKEgWtm9EtrWRA2ssawQB6UEgUUATPpqBIzcc+7c5AnaUF7RAzSABpABcCUQtyfQO11gAGcNd4ndd6vdcTsNd+/dd17dcE8Nd63deEfdgGYEsSgNiHbdiM7de2tACP/deOPdl5PWySbdmFrdl6PWwXQNjXBhIa8Ahr4JQgcNrCKhETUHoNMQAb8IzDBBSyPdsrGBIVEAM9IEcDcQC8vRTsgQDAHdzCLdweQAfGGwLAPQDDvdx/cAlHkAC7MNyvSgDLXd3WrdzWnd3BDRfUrd3a/43d3m3dfWEA4Z3d4F3ew90XD4De1X3e7A3cjYEB2c3PEUEBe7AGPknVhOEFmABrRzAFHxkOjhBrJGAEKDrSS42sJj3Rl7rWDaELY6kQ6kQNxhtrlfCRO+Bzo7APB57QsczMqlzGT+oQNsCXLXDiN2CfhAEIXBhrNPCROuBzgVAMHS7R5FzIDL3KQt3Ki9GmCeAId/CRdvBzVlDj98zg77zgN25bVWzQUgYOCeAKgeALI8CVQJAAo9AHq6BCVm3j/0zRW6zPMI3NgUwYjeADnrsEgKAF1+rlK53kIU7LI37GksYIinACjbBlVaAEX2APdsEBeoAPXWAXLAANRUAKV//g4R3tr0r+5Q2+404OGR/gc3zgGsawk7DmDXRhBG7Q3wmAB3QxDAnw3G6QAGx+5Ete0SCJzuEcaUTGAT/XB67xc65ACXNxCjLOBnMRA6Xu3+jg5jcN5qA8zOA8vsO1GO7ADT53BK5R4bCWB5YwF1Tgc5cQBnOxDT9HBsCe4MIOz9z+6A7N44RhBYGw7K6RgT5X5AFADlDgc8YwF3aABe0Oa6xAF08ACjsZCrjM0ecZ5hY95vQt7oTxcy+eFzDw46XeBnQRDj6XC2BAFzGeAJeQDnQhAzkJa47gBxutzB/u0Vvd1L68F2hAe9iVBd6gCyhQF92g4WdQF+ygDu9QF9X/UO6xpg0bn9UB5O0KLc+tTsoAZQxA8Ah1kQqwNu8JgF1XwAuM4IR0oQ8ybgdGrgaj4HNJcPNKvfNXOsVBHe6RXhd7EGtHkOgBAOU/5xpaIA6i8Gp5PheT8HM3YORPMOCwhgU9YPVnjeRpfbRzbst0wQM/BwpzUQcknxetUAaxRg+n3gc/9wdGHgCAkABecAnbsO8cv+glHefOvPfQTBdkQPBzEQmDHwCGH2teUA9zQXvm0PgBIAaWAANYffUdj6ZG2yaan9J0AQw/dwlzQQehXwk/1wtz4emxlgKqL6hpG6p5T/tNTudewgI/JwJ0EfqKYPSuQBe/8HMeUPxJffdL/578klL7lfc6SPBzpTAXV172eUF7PEAXXQBruUAMxbrtWA/CL03Mxm7MdLEIP8fsAeDjsTbrAJFAoMBzAQweRHiwgIADCR0+PDgA4kSECyFQxCgR48QIAghsnKgRpEMEAgyMfCgS5UEHJicSEBBT5kyaNW3exHlAQAGEawYKpGfww0+BASQSTWDsoB8SjlplSbiw4UqEKqlapFo168GOH7ca/Rqg5MmvVle2JPsQJk62bd3G1MkTYb6BUGYcJFoG7LSfbg5aciMQUystFRmGNYsSa9mwXRGHHfv4K9qXby1flhnX4bd7aZgc1IUULFJ7Brv9HBXK8NStiUcubt3Yo//krZEZT3YJcS1m3mw1bxQm+ijRdwaf/Qz0ZzXtrLCzugbp+Hbt3LFxp3W4u/d2mr8x2hAeYBxRFgbHQPnJYfn05gIusqcq3Tp17FShb6Ssm/v+md4pZiHKC7CyQA8KN1BASIUEuCGhnqgOg28l5+yTzav5srLtQqryU4s/D/2b6J3wDOrgjLsS6sUYqB5k7bmwJlzpPozkc/GrDGvcisPsPOQPxABUMQWVwgziZcStpGLuKveSXIlGCm2sDsesdExIOx55AzEaGhIIbJeDavhJCrC+QjJCxZY0cyQnY4QsyidzdBMhK6+8zL92fiqjCITKSaAMMgySkaIyNZQQTUL/UVoTpUAnuvHNKeM8aE463/LPDld+0oaiRSEaVEol3ztUzdnSBKlRNq+rbFIsd0LImkAGcuOEg0aQZhRXzAD0RQhDBQlGRStkEiVTf0VVP1UxA3ERgY6oZIWDgsBkWVw3fahTRz8NVlQLPV1p2JGodYhKOY/FzACTCkA3XT8k+UaLdBshKpACKki3XnvvTddcA/Dl9156+wW4AJgeCBjgCQruFwIBMECY338btlcnhiG292GK0dWpgX7NJdeyCwS4QAKRRyZ55B9E6UsCC0pmueWRPw7ZZZlHXnnmmT+mwOaZa9a55QUEyLnnlnkWmuSfNyiaZaKTFlkApF1uoGPL/3x8yINgYIVkzCN35fZMULvWNttSIf02LHEjlZpSVkHiIAEvRNnBWXBZFHsjX8v+KlG86asbo7MNkjTt7tYGaYV16ohI1xavLfRrxhEdldeNvAVpboT+DiBwwTMjHOxeuX78NUM930jvytus71Q4U0d785w6D/3zxVVvz3Ha44ucdIwo38hylsjO3PXX5ZIcI2tvb7xvikzvHXXlJ8Jcc9ep3ru92Ynd2nbss2I+I+dJxQ946Ten/nQyQUfe6+ch6l7T74unKHrhbyq/+fOvrx5b8GfMPfbJgbff6lI1v8ERT3eCQt/29Ac/jvQvfSPhnfeK1SEC0mQJVLBCBWViA/8qcECDMREDFWDwQQEMgwqrIOEBqFAFEkqACnEgoVs4AIInkNAKIKAECcUAgkaQcAQgQAEJCwACS5CwASDARQzbMsMafvCGOfzgDnv4wR8G8YNDLOIHj5hEJeKEBYK4gg8FwQISIkAQRiAhAQTRRA02QBA4IOEGBOGDLtbRjnfEYx71uEc+9tGPf7xJFqqgk5oIkpAdO4AlslATGcDAkTNI2wJ+YBNDCk6SjHQkDCDZMQN0IgCUHGTaOvlJmjTykSQ0ASEQoQQZ0CSVq2wluThwAlUowRo0MQMQkICEJkhtAL/4QE1eyUpfArMmudxlL8llCxd0ABnNcKUqibnMZj7/E5e65OUHV0AGDQiAB5OYyTa7+c2ObQOOCDjBBGYSglhKTQvZAEIww8lNb4KTXO+MZ03YmTYG6IGMFCgCxwQgznqSq5//DOg62/nBOQwiJkZwwUwa+tCIHssCmlBATBZBxphQQAovOMQIpLYLJqBAnjKZqAAg2jGSmpQmHgWpSDv2MY+k4ZApXSm5aEoAm8oEpiElYRNMEBMHZGImQiWqUY8VBRXIBBUvkAkT0qAGNuhBDmlz6VGHKoCiYvWkMZEqVa2aNg08Yg1aTSpZzTqTsFb1qhrkgSdiMoI3zCSuc63rsRDgC5kwg40W4NgP0OBVmtxVAHQl7EwAGxPBSq0C/zHogTplYljEduyxkVVsYAerwRz0ICY3mMJMOvvZ0Fo0DRWISTIEegAtxOQKRehmx7Iqk9EKALSJzUxrBfDa2KqKAntYAwNoUtvbkuu3we2ObnnbRhVcwQKsaIPTPCCABjT3udElFxL4IABASEO6AhCDEjagADiEIbEbmG51nQvd8043vOMtb8d0cYaZoJe61mUvueZLkxUM4L3kNe8H4yCFEAjBAgLwQVMFMOACH5hcHlhEKmKBxgTHhA0uCAEQOiK1rFZ4wQQ2cGI9fOEMb1hVNkhBClqw4ht4mMEhPhaKVcxiAdABjiTWcAwz8DOb7HhzD7iJBqJGQh+TUMg65v/xB48MSCY32clPhnKUpTxlKlfZylfGcpa1vGUud9nLXwYzlQMwBjKP4Q/yGEBbhnwTStiBJoyIx0wmEYqZ+MEYDBgDR2WCgDHweMjzeGuYBe3HFyQAD5rQBCgCkTWc1OEObOlADWjyDW3IxAplwMRCBMCASrBjAm6YA01wkICWODomJ+DCoFXNx0LDMSYeyMMecCICHUBa0jOpAxTWYgdZQEKZPkiAnkVNagHQ+tSpXnWy79jqmRShBTFZAicUAY0oCGAVeMgDJ8ylBWhEgwxhUGekabIAGsBQAIpYAxoq+od0CMACnACHACZwBiUIQw6kvna2DXACYfhBBZIggrL/Bf5BZsfkAqOQhADmgIUQdGAZJIiCDd5Aiw5cgAWukEQTkFCJYIqbJi0QAtCOwIF2lCKjSgjtBBKQAwFwohWIQIMXSC1xil/gBIH4AhxUcIQMDtznris0EB5hhkXA4xI1PAYZZHKM0BpbALVAQ2yZ8WyPz6QLKRBAHVqhAAJgwgcK4EYSVZ6DG0Ch53YgttNPQIUMOC0Xfvh53NNWaFB84QshiIFIK4AJXwjB74YARbFrHZMBdEIVwoDENQRQdZk4AQsT2EPCBQAKO9yABhKQ98rb0AdLp33wJ4iFTHagDrmX/lgFn0kBErCIHrS+B+Z1+g36UI5YwMEFimd8TCxQ/4lGiEOZZijBGZ6d+RyEAhYZVannjy0TQ3TB9M+/EupnMgp0yKQKAQ/D4MlwCuEKgBzdWPytaXICJEBB0z+ARCqGEJOxUyMBHhQAHIid/eXHpPnQx/9+pC8TIZAAFwwABCzYLj8oBSOwAC7QgQVQAFtwhCAIv5hYBzaQiWKAG5mwgLe5BfZbuQEIAlMYgRuIBGIjQANENeZzvvxDQczYv5jYgCmggVyYBjOIiRnogwSAATBogUvIA1kIBSxoAI8rgR2QiSdIgBiYiTfIg9gau4HCgyM4ghggNhq0wRK0vxNMwSv0kAyQqZkAspiAAMwjlwJIM5roQiw0wzNEwzRUwx01ZMM2dMM3hMM4lMM5pMM6tMM7xMM81MM9jLuAAAAh+QQFCgAAACwAAL4AIAExAIcAAADm5uYAAAD////q6ury8vL39/fo6OgFBQUGBgYICAgEBAQBAQHt7e0HBwcRERHu7u4NDQ0DAwPr6+sLCwsODg4CAgKmpqYTExOUlJTc3Nzj4+MKCgoJCQnd3d3ExMTS0tIiIiLV1dWWlpY0NDR+fn6MjIzAwMAXFxcMDAw1NTVycnKCgoIUFBQPDw8QEBDb29uampr+/v5YWFh6enrz8/P8/Px5eXmnp6eDg4NOTk5GRkYoKCjx8fGAgIB9fX3Y2Ni0tLQ2NjZjY2NCQkIWFhZbW1tQUFAcHBwxMTFoaGjT09PKysoqKirDw8Pn5+cZGRleXl6oqKjv7+/s7Ozp6eni4uLk5OTh4eHe3t5VVVVcXFxMTExNTU2/v7/MzMzR0dHQ0NC8vLx3d3czMzMhISFmZmakpKTFxcXU1NS5ublERESKiopiYmJSUlJRUVGzs7OHh4egoKB/f38SEhJsbGxUVFRISEi1tbWNjY2qqqpJSUlFRUUdHR1WVlYYGBi7u7ufn59qamoVFRU3NzdtbW2SkpKwsLBzc3NnZ2dPT087OzsfHx84ODiPj4/CwsJgYGAgICCurq4pKSklJSVaWlpwcHBxcXHX19evr6+rq6upqaktLS0+Pj4aGhojIyOFhYW2traenp7Z2dnl5eXf39/5+fn19fX4+Pj7+/v09PTw8PD6+vr9/f329vYmJiZ1dXXg4ODOzs6JiYmOjo49PT08PDzHx8cbGxva2trW1tYuLi7Ly8u+vr52dnZLS0srKyvPz89ra2tpaWmBgYE/Pz+Xl5eTk5O9vb2hoaE5OTlubm5TU1Ojo6OIiIiZmZl7e3tkZGQwMDBdXV2GhoaLi4ucnJzNzc3BwcGdnZ06OjpDQ0NAQEBlZWVZWVm3t7e4uLiEhITJycmxsbGRkZHGxsZKSkpfX190dHRhYWHIyMiQkJClpaVvb29XV1dHR0ebm5syMjIeHh58fHwvLy94eHgkJCSsrKyYmJitra26urqysrIAAAAAAAAAAAAAAAAI/wABCBxIsKDBgwgTKlyYBcbChxAjSpxIsaLFixgzatzIUeIQBRIweHhoggSRkR1TqlzJsqXLlyu1OBAgQIKKhXZo0jwEs6fPn0CDCjWYQKeAF04SnjAqoM/Qp1CjSp1KMILRCCcSanpglAPVr2DDir24hYHRhghBuNBpAcnYt3Djit1AhkGEJCU6FF0iMAtKABcEOKDQwiEAMG8IWZLLuLHjlkCW4JhJs4gVRB0WuCAFwAqJBQKUCLxSkyaKx6hTqy44YEDCJEYfHOlA0yYAowpAAZghQWcEUauDC397oHhxhE2uFhVw+0GGFEYxABBiFMGN4dizRw3AvXtBTDGiMP99MVBAhTxcjTIptJwmDu3w48PsTp9gIAb4aVbw9MFMeQEeoMAUEVikgMACChgh34IMdkSfdwL5wBRNagRwRSMAVMBDGgCUwBQPApkwxgUNlmiiRQ8GIFAnE9KkABPcffHBBirCoYBOCSh44o48RpQiAEe0SNMCKzw4UBs60ZEQHl3sIEWPUJ4oQgw5ZJCJJELSxMAdckAIgAbVnXHQJgjoxEKUaMr3CAc30hRCljRRoAACF+igwwV+vMDUTQWVwhQFIKQp6HAeMFeeBaDR9J9RiyrKnACcqEgQFm3S9EBWg2aaWigUEMSop58KNOFAjkg60AafMDWKpqw2tsEkhor/GioAZukEqq0CUcCdQU4IVqYerQYb1xpF3aqosQUxBcACQ9A4EH0izHHDB8JWOxZXBTEAha2OzkoTAgyUKcGyAAqUoqnWpkvVmwQl0IIIZcJJkAM+sHDJDIkKtoK5P6rrb1BeSrHAQBT8oAEAIMAZa0HiGeUGv0b+K/F8EQeBBAqQYLErAJEwShMUxR5kQqUC5ABxfROnvNK5J0P4Zqw0WVDBwAJhAIipyQnAQRkERazyzxyxDEB3G9CwhxJWAEDDwjqRsEgRlIygwcYCjVCCIQZ5CfTWGAndXQsOkDsBADskywAfQnOtNsU+B8DGuAIlUAcAf9waRtpr571yv9ztx1seFwDAPdAgYrSs9+F7R8zdCB0MZMEPAERQUAIZIG65S15zJ4RAHKQgUBwIeMqI4ZeX3nXb3GUgCAsbmJvIf9LhbfrsPnqZdgBAVDCQA5UM3S/twKP4O3doAOACBYq0THXwzNeOegAaBOGFpLI3bz1Ct/vsu9bXd5/17xB/j6731qO8vfnkp7/Q8Nqr735BeKP//vzKj0///fCzzz3+7uu/P//pI4AACTCQARoQgAgUSAEWyMACJBCB1Xvg/MAnwfv9r4ImCggAIfkEBQoAAAAsAAC2ACABLACHAAAA5ubmAAAA////9/f36urq6+vrAQEB7e3tBgYGDAwMBQUFDQ0NCgoK7u7uAwMD3Nzc8fHx6OjoBAQEzMzMfX19NDQ0fn5+QkJChoaGHBwcHx8fEBAQDg4OCQkJCAgI1NTUCwsLBwcHJiYm/v7+8/PzGxsb/Pz80dHRd3d3dnZ2ubm5Pz8/h4eHbm5uEhISo6Oju7u7QEBAZWVluLi4xsbGT09PAgICYWFhpaWlysrKNTU15+fnLS0tlJSUlZWV8vLy7+/v7Ozs6enp09PT4eHh2NjYeHh439/f+fn58PDwdXV1zs7OiYmJVVVVjo6Oenp6Li4uMzMzy8vLg4ODvr6+ISEhpKSkxcXFIiIiKCgoREREgICAgYGBUlJSlpaWtLS0OTk5f39/Y2NjDw8PVFRUtbW1mZmZRUVFKysrGBgYn5+fi4uLwcHBampqFRUVNzc3bW1tWVlZkpKSwMDAycnJsbGxkZGRSkpKc3NzZ2dnaGhoFxcX5OTkj4+PwsLCR0dHm5ubrq6uWlpaMjIyHh4eLy8vcHBwJCQkq6urrKysmJiYurq6Pj4+JycnLCwsqKiohYWFtra2oqKinp6e2tra1dXV1tbWERER9fX1+Pj4+/v79PT0+vr64uLi/f399vb2mpqa4ODgWFhY4+PjPT09ExMTXFxcTExMPDw8TU1Nv7+/x8fH3t7e0NDQvLy8eXl5p6enxMTEZmZmTk5OS0tLz8/P2dnZ0tLSRkZGa2traWlp5eXl29vbioqKYmJiUVFRs7Ozl5eXk5OToKCgvb29oaGhNjY2U1NTbGxsSEhI3d3diIiIqqqqSUlJHR0dVlZWe3t7ZGRkMDAwXV1dnJycjIyMzc3NnZ2djY2NOjo6FhYWW1tbQ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width="100%" /></p> <blockquote> <p>❗ <code>transition_states()</code> splits up plot data by a discrete variable and animates between the different states.</p> </blockquote> <p>As can be seen, very few additions to the plot results in a quite complex animation. So what did we do to get this animation? We added a type of <em>transition</em>. Transitions are functions that interpret the plot data in order to somehow distribute it over a number of frames. <code>transition_states()</code> specifically splits the data into subsets based on a variable in the data (here <code>Species</code>), and calculates intermediary data states that ensures a smooth transition between the states (something referred to as <em>tweening</em>). <em>gganimate</em> provides a range of different transitions, but for the rest of the examples we’ll be sticking to <code>transition_states()</code> and see how we can modify the output.</p> </div> <div id="easing" class="section level2"> <h2>Easing</h2> <p>When <code>transition_states()</code> calculates intermediary data for the tweening, it needs to decide how the change from one value to another should progress. This is a concept called <em>easing</em>. The default easing is <em>linear</em>, but others can be used, potentially only targeting specific aesthetics. Setting easing is done with the <code>ease_aes()</code> function. The first argument sets the default easing and subsequent named arguments sets it for specific aesthetics.</p> <div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a>anim <span class="sc">+</span> </span> <span id="cb3-2"><a href="#cb3-2" aria-hidden="true" tabindex="-1"></a> <span class="fu">ease_aes</span>(<span class="st">'cubic-in-out'</span>) <span class="co"># Slow start and end for a smoother look</span></span></code></pre></div> <p><img src="data:image/gif;base64,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width="100%" /></p> <blockquote> <p>❗ <code>ease_aes()</code> defines the velocity with which aesthetics change during an animation.</p> </blockquote> <div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb4-1"><a href="#cb4-1" aria-hidden="true" tabindex="-1"></a>anim <span class="sc">+</span> </span> <span id="cb4-2"><a href="#cb4-2" aria-hidden="true" tabindex="-1"></a> <span class="fu">ease_aes</span>(<span class="at">y =</span> <span class="st">'bounce-out'</span>) <span class="co"># Sets special ease for y aesthetic</span></span></code></pre></div> <p><img 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width="100%" /></p> </div> <div id="labeling" class="section level2"> <h2>Labeling</h2> <p>It can be quite hard to understand an animation without any indication as to what each time point relates to. <em>gganimate</em> solves this by providing a set of variables for each frame, which can be inserted into plot labels using <a href="https://glue.tidyverse.org"><em>glue</em></a> syntax.</p> <div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb5-1"><a href="#cb5-1" aria-hidden="true" tabindex="-1"></a>anim <span class="sc">+</span> </span> <span id="cb5-2"><a href="#cb5-2" aria-hidden="true" tabindex="-1"></a> <span class="fu">ggtitle</span>(<span class="st">'Now showing {closest_state}'</span>,</span> <span id="cb5-3"><a href="#cb5-3" aria-hidden="true" tabindex="-1"></a> <span class="at">subtitle =</span> <span class="st">'Frame {frame} of {nframes}'</span>)</span></code></pre></div> <p><img 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width="100%" /></p> <blockquote> <p>❗ Use <em>glue</em> syntax to insert frame variables in plot labels and titles.</p> </blockquote> <p>Different transitions provide different frame variables. <code>closest_state</code> only makes sense for <code>transition_states()</code> and is thus only available when that transition is used.</p> </div> <div id="object-permanence" class="section level2"> <h2>Object Permanence</h2> <p>In the animation above, it appears as if data in a single measurement changes gradually as the flower being measured on somehow morphs between three different iris species. This is probably not how Fisher conducted the experiment and got those numbers. In general, when you make an animation, <em>graphic elements should only transition between instances of the same underlying phenomenon</em>. This sounds complicated but it is more or less the same principle that governs makes sense to draw a line between two observations. You wouldn’t connect observations from different iris species, but repeated observations on the same plant would be fine to connect. Same thing with animations.</p> <p>Just to make this very clear (it is an important concept). The line plot equivalent of our animation above is:</p> <div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb6-1"><a href="#cb6-1" aria-hidden="true" tabindex="-1"></a><span class="fu">ggplot</span>(iris, <span class="fu">aes</span>(<span class="at">x =</span> Petal.Width, <span class="at">y =</span> Petal.Length)) <span class="sc">+</span> </span> <span id="cb6-2"><a href="#cb6-2" aria-hidden="true" tabindex="-1"></a> <span class="fu">geom_line</span>(<span class="fu">aes</span>(<span class="at">group =</span> <span class="fu">rep</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">50</span>, <span class="dv">3</span>)), <span class="at">colour =</span> <span class="st">'grey'</span>) <span class="sc">+</span> </span> <span id="cb6-3"><a href="#cb6-3" aria-hidden="true" tabindex="-1"></a> <span class="fu">geom_point</span>()</span></code></pre></div> <p><img src="data:image/png;base64,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" width="100%" /></p> <p>Ugh…</p> <p>So, how do we fix this and tell <em>gganimate</em> to not morph observations from different species into each others? The key is the <em>group aesthetic</em>. You may be familiar with this aesthetic from plotting lines and polygons, but in <em>gganimate</em> it takes a more central place. Data that have the same group aesthetic are interpreted as being linked across states. The semantics of the group aesthetic in <em>ggplot2</em> is such that if it is undefined it will get calculated based on the interaction of all discrete aesthetics (sans <code>label</code>). If none exists, such as in our iris animation, all data will get the same group, and will thus be matched by <em>gganimate</em>. So, there are two ways to fix our plot:</p> <ol style="list-style-type: decimal"> <li>Add some aesthetics that distinguish the different species</li> </ol> <div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb7-1"><a href="#cb7-1" aria-hidden="true" tabindex="-1"></a><span class="fu">ggplot</span>(iris, <span class="fu">aes</span>(<span class="at">x =</span> Petal.Width, <span class="at">y =</span> Petal.Length)) <span class="sc">+</span> </span> <span id="cb7-2"><a href="#cb7-2" aria-hidden="true" tabindex="-1"></a> <span class="fu">geom_point</span>(<span class="fu">aes</span>(<span class="at">colour =</span> Species)) <span class="sc">+</span> </span> <span id="cb7-3"><a href="#cb7-3" aria-hidden="true" tabindex="-1"></a> <span class="fu">transition_states</span>(Species,</span> <span id="cb7-4"><a href="#cb7-4" aria-hidden="true" tabindex="-1"></a> <span class="at">transition_length =</span> <span class="dv">2</span>,</span> <span id="cb7-5"><a href="#cb7-5" aria-hidden="true" tabindex="-1"></a> <span class="at">state_length =</span> <span class="dv">1</span>)</span></code></pre></div> <p><img 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" width="100%" /></p> <ol start="2" style="list-style-type: decimal"> <li>Set the group directly</li> </ol> <div class="sourceCode" id="cb8"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb8-1"><a href="#cb8-1" aria-hidden="true" tabindex="-1"></a><span class="fu">ggplot</span>(iris, <span class="fu">aes</span>(<span class="at">x =</span> Petal.Width, <span class="at">y =</span> Petal.Length)) <span class="sc">+</span> </span> <span id="cb8-2"><a href="#cb8-2" aria-hidden="true" tabindex="-1"></a> <span class="fu">geom_point</span>(<span class="fu">aes</span>(<span class="at">group =</span> <span class="fu">seq_along</span>(Species))) <span class="sc">+</span> </span> <span id="cb8-3"><a href="#cb8-3" aria-hidden="true" tabindex="-1"></a> <span class="fu">transition_states</span>(Species,</span> <span id="cb8-4"><a href="#cb8-4" aria-hidden="true" tabindex="-1"></a> <span class="at">transition_length =</span> <span class="dv">2</span>,</span> <span id="cb8-5"><a href="#cb8-5" aria-hidden="true" tabindex="-1"></a> <span class="at">state_length =</span> <span class="dv">1</span>)</span></code></pre></div> <p><img src="data:image/gif;base64,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" width="100%" /></p> <blockquote> <p>❗ The group aesthetic defines how the data in a layer is matched across the animation.</p> </blockquote> <p>In general <em>2)</em> is preferred as it makes the intent explicit. It also makes it possible to match data with different discrete aesthetics such as keeping our (now obviously faulty) transition while having different colour for the different species)</p> <div class="sourceCode" id="cb9"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb9-1"><a href="#cb9-1" aria-hidden="true" tabindex="-1"></a><span class="fu">ggplot</span>(iris, <span class="fu">aes</span>(<span class="at">x =</span> Petal.Width, <span class="at">y =</span> Petal.Length)) <span class="sc">+</span> </span> <span id="cb9-2"><a href="#cb9-2" aria-hidden="true" tabindex="-1"></a> <span class="fu">geom_point</span>(<span class="fu">aes</span>(<span class="at">colour =</span> Species, <span class="at">group =</span> 1L)) <span class="sc">+</span> </span> <span id="cb9-3"><a href="#cb9-3" aria-hidden="true" tabindex="-1"></a> <span class="fu">transition_states</span>(Species,</span> <span id="cb9-4"><a href="#cb9-4" aria-hidden="true" tabindex="-1"></a> <span class="at">transition_length =</span> <span class="dv">2</span>,</span> <span id="cb9-5"><a href="#cb9-5" aria-hidden="true" tabindex="-1"></a> <span class="at">state_length =</span> <span class="dv">1</span>)</span></code></pre></div> <p><img 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width="100%" /></p> </div> <div id="enter-and-exit" class="section level2"> <h2>Enter and Exit</h2> <p>While we may have made our animation more correct by separating the data from the different species, we have also made it quite a bit more boring. Now it simply appears as three static plots shown one at a time, which is hardly an attention grabber. If only there were a way to animate the appearance and disappearance of data…</p> <p>Enter the <code>enter</code> and <code>exit</code> functions. These functions are responsible for modifying the state of appearing (entering) and disappearing (exiting) data, so that the animation can tween from and to the new state. Let’s spice up our animation a bit:</p> <div class="sourceCode" id="cb10"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb10-1"><a href="#cb10-1" aria-hidden="true" tabindex="-1"></a>anim <span class="ot"><-</span> <span class="fu">ggplot</span>(iris, <span class="fu">aes</span>(<span class="at">x =</span> Petal.Width, <span class="at">y =</span> Petal.Length)) <span class="sc">+</span> </span> <span id="cb10-2"><a href="#cb10-2" aria-hidden="true" tabindex="-1"></a> <span class="fu">geom_point</span>(<span class="fu">aes</span>(<span class="at">colour =</span> Species), <span class="at">size =</span> <span class="dv">2</span>) <span class="sc">+</span> </span> <span id="cb10-3"><a href="#cb10-3" aria-hidden="true" tabindex="-1"></a> <span class="fu">transition_states</span>(Species,</span> <span id="cb10-4"><a href="#cb10-4" aria-hidden="true" tabindex="-1"></a> <span class="at">transition_length =</span> <span class="dv">2</span>,</span> <span id="cb10-5"><a href="#cb10-5" aria-hidden="true" tabindex="-1"></a> <span class="at">state_length =</span> <span class="dv">1</span>)</span> <span id="cb10-6"><a href="#cb10-6" aria-hidden="true" tabindex="-1"></a></span> <span id="cb10-7"><a href="#cb10-7" aria-hidden="true" tabindex="-1"></a>anim <span class="sc">+</span> </span> <span id="cb10-8"><a href="#cb10-8" aria-hidden="true" tabindex="-1"></a> <span class="fu">enter_fade</span>() <span class="sc">+</span> </span> <span id="cb10-9"><a href="#cb10-9" aria-hidden="true" tabindex="-1"></a> <span class="fu">exit_shrink</span>()</span></code></pre></div> <p><img src="data:image/gif;base64,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S++BU0w0AnLyq33QCkY/2R3bTwexPTeDBexqlskENKGExsLhF4gbQBC+MJUTHkBDR/gmpAWjyk2+bso2Ayjd8RyIMTn72pQU6bCai0pTQkwhvq5WJjhRBZ4jsWBcRTwGEAShczOrxDlTtzjiiFyKDy/7Vo9lgsCrWCE7mAvf66UVgPAQBIKcEFQdQ008bX15kLgAw4UTPlAByjEXVAcWCBI/rQ1NLBhW5C1ML/IIvi+ZgDu29/CxgaZC3xgCC84iAfgEEABTmtqkKkaQoLwgSYEYAwO/JYEhDIWMBxkBVPSQAapZS3/yOggZ0ja1RQ2Ql+poAIksEBcDKI6yDDAWy30VWaEdIEZEqQKHKzJFv9y+CsvGOQGCMGB7nZARF/loF4JuVoS3lC9JpLqhLNRCByU0DYr0uoGEhvIG7zIrwYCIDlkfFcXtCCQDcAgjfyC00AiAEd3HYkgdKwjuBJYEELpkVpY/KO7wFOQ4gnSV7YpCNQOiaw3ZooDemDkt2SQhjLISpKYzKQmN4mRGnSRk74CQQ5CAIUAEAGUpKoOZE6JykqlwC81OUErK1U5yBxnlowygeiGEkhcxkkNDytNxXwZKA9czQEM8CAxGdUDCfxAZsuMpjSnSc1qWvOa2MymNrfJzW5685vgDKc4x0nOcprznOhMpzrXyc52uvOd8IynPOdJz3ra8574zKc+98mJz376858ADeiTBCAAhBBUoEo56EEUitCGOvShEI2oRCfKMIZatKACOQACKMrRjlqMoQUBKUFE6tGMkFQgJwVASkvK0pae6aIDgalLPSJTlWLUpjPNqU4ZVdOV7vSnQPVST28aVI0MtahITeqDfKpUkxK1qVCNKnCYKtWqWvUzBSjAVTlCAAJMNCAAIfkEBQoAAAAsAAAOACABmACHAAAA5ubm2N3oy9Xq09no1Nroz9bp0djpyNLq0NjqxNDq1dvozdXp09rovcvrxtHry9TpK7Y9+/z+0trpudq9zN/P0dfp3+Tw0dno09npTL5bwNDqv83r7u7u09joF7ErQrtSydTrxdDqydPq5On11tzo0dnqu8rrt8fr1OHV4eThw87rH6lPKLU66Ojo2eDx2d/w0dvwz9fp8PX/s8XsacZ10Nz0WsJo1+PYv8zq2eLb3+Tgxd3Jztjw197u2t/q6vH/////4OLmKrU8NLhFWMFlp9auPLpModSniM2Rj8+Ywc3qucnsucjs3ePevdvBx9Hpx9PqwM7r1dvq3eDnzdbpObpJK7c93uX0J7Y51tvo1d3w6O//JbQ4xdLyRr1WyNXxnNOjr8LsUr9gttm7l9Kfbsd53ej/w8/qyt7NwM3ryNPqy9Pp4Ob02N3n4uf02OD0IbM02uL03N/n5ez8HatF7+/x2+T07PD7x9X0zdjzfcuIrte0JqJrsti3YcRuu8vxrMDsy9LppNWq2+PccMd84On/dcmAHaxB1Nzw3+Hn2+X/HqpJ1t7y19zp1dzq2+Hxztfq0Njo4uTnMLhBMrdE2t7o7vP+2eDv3uTxe8+G2OT+ornuvsrrbc16NahwueK+ydbywdDxqcDtg82NxtLqXcNqc8h+k9Cbvszsw8/reMmCIqVcNbpHG6078/T20dfn2+HvK69PL7JPHbIw3OLu4OLn197qaL2Njb3Fd9CDveXCr87Ko8vBtdXRKKBz5PHlv87lcrK1ztr0LpuJ1uH6ic6Sy9fx0+rWz9nxv9zDMaloXcFrN6pvOKKDP7tPLZ98s+O5xc/q0eDTH6dRK6B3wNPqjdKWnrXtscbzxurKxtXgqdLEOqxsyt7cRLdiusfqpb3t4er/c8x+JqRmxc/p0ODSz+DRSq6CYchusMjbkc6pSq9+mMi2TKyLjMWpe7m5P7VeQLZeSa5/csd9ls+n5unu4ubv6evv9/n/0tnq0trr6ezz4OTu09rn3eHpCP8AAQgcSLCgwYMIEypcyLChw4cQI77CgyeixYsYM2rcyLGjx48gHb7xUICABSEhU6pcybKly5cZ/8kRQNORCZQwc+rcybNnzwIkaNIkoMin0aNIkyo9+CioUKJLo0qdSrWjpTZCBRgoWrWr169fJ92ZIKCECQFg06pdq1JCQpwABBRYQIWt3bt4Hc55BATGgoJUCBDAcCuv4cOIBVIx8GPGhQRuBipiIHTfm8SYM4M92/iCAAw4MTgS+gMLV82oUyMl21nAAUtUFMnI+qONLdW4c+skIKD1BgMNDkjhTfPHndO6kyv/OIexY1VqhBpwsIDmlMvLs2vXaMkElxciRgv/HcHGA+/t6NNHlICPuNAMioTAVU+/PsIF1YXKmG+/v39FBhRQ1gF1+WegfW4BIEQJGdB14IPpKfIIF35BaGF6zXVmQGQXdqgcZ44J4MEkHpaImC1U3EYQb63BZ+KLd8XiQXAHrNhbiBggB+OOXcWCiVAN/CVQho5Z0ACPSHr1gmdPEeSGCUC8gFaSVEolBCRM0uSBjuxV6WVUmGSSVQJfllmVPVtUVwIDBZrp5lL4FNBAASry9+adRyky2AFTNmRHSRgUUJAQBNCBxZF4JsrQYtJZ0tAkM9FkgaACCSFDCXiQMEGNinZ6UAJZCTABiQvd8kZWLsYlYKYCmKCip50K/2HLHHxmNSJDUzhFUwMFCliAoQsUMAesndaSAQEJqFJCVgeQqlCuqKroBgQiFGODAhC0SeybPgoVRXQ0HSDkQmIJVUAGA1nSxABnwIGAA3Zu+2UbJLxh7xt6NCIHJNg1hMcLmQRMUBtw6LGJtXDwI++bEnBxycMPc5FPPgkWNAMQl+Rj0Ax0AKHxQBgDwYXDQMyw8JswZCmABQkl0EAJC7BJEBYEwMzAsAIJ0IAArCbw6slformsIwzoOFABAgrFKQCWYMEsTkK4nOkBlAJtpj0EyEDAzwWRldUEXDX1NXJu0IGV1TzOIRiBBdkTXALaFuQeTRAYMAEBCOgqwNZof//pSCRCySzQPVsINQDOBrnhtc4O7CzAAzZkZUC8fcMIalYEDOSDyhgkdADVC3AwG0236BEC0hbEXfmOk3gQKgEoCbGkrUYP5IYF/lBGWhsFUF37DHasXuIktSo90OxCSUK5GxgQkMESWpBmAwMEmHATQXNgYGgCzgoPYQmXC1CFFgNdUDhNCVRdkABVBK7GsgJEkgf8C0wwkC2UZVrCSd5fWAAGx+LQQGJhgAxgoE8GOUtWoACBDHggCqd6j4q0UB1WEUB1/VuOEASgBcQRRBHxOYgWYFGA7sltAZFgwwAaYAAPwIIAkdCbJNgABUGMgCasElYG0QOguXzuITCYywL/JocQSaChFCNAgBTAUYVgrQAOQtGCGE4ABQWIYQM8C8oBuLbD5FggK3NpSJiEUgL1EYQBnRjBAAaAAhTkZwp5+KIATkCDNQ4AAWKAQKYSkLkuZkcIixsKQ2R3AS0QIHq3Msjd1qAAaTigFAfszR0MQIAGrMuOA1ADFMzmKD/+UYFNWojseoCCJtAAAQQwoUAmkAEEKEABTHhAJEujIjRgcgCqMKMnl0MA8exNlwcBQzY4QMxArKCInQjBGlFAg/wYJzSpwOQJPLjL5fRwAQdAV0NEIYoTOMABTIDXQWSggAeMYA1SOEETC5AAhQ1kBQ54gAJOAMxqJkcRNMHgQagA/4ZkrCAHS0DAEqgpkJpBAAqotMBoLEEiWXGlAGyYjT1hJAQvxACTOSAoABoAgQeI4AEPqAJc+IGBbGpzokhKhCjs2IkHIEQGTLCjKtAwEJmY66Qo3dExcrABDggiIRMIwQpKIYI1wE4gYhPKBLiY0xLN4alDcoMl5sObBjTPEVsUSK4sAIEBHIBXTa0SH2FmAGfVTHKkcoQNHhCCKCyhFJQLq4cIkJ+yIEpBBoBfAkowkFvkQY0DUMAGVCnXEgVSRM4iVCU9OIU2lEIBIqAeUwvbobkJAAIH6Is+ATAFLDBSAWxYKmV3hDShYMABt3DMADppEC38dY2qWAJhR2uhqP9NQAsFcAABWjOBeJVgGCJo6xJCEFfa4gYfEiBRAAhRgR0cJD5c8UAVYEEZvsTCEQ2oXa4OWgojTbW4xs1MCTABBH0sYBUtiAAAUBEAglxgAhOQQQMEwYENOIAGgojCIkJRCknU7hFwKAVRQQoBEzgvvLoRzAVm8ANcuIIgYRhILRohFBSIwY6BCIcBDBGDFSgAIVPwgh05EAjiLIBMCE6NIvi0YDcgog4fGMgR2guAlA0FBUxAwBpPMIpULKIHa7CAdhuBho82QRXu4VuKNbPiBiRCHNuQRR0IEgEjoMIIm5NUKVOhBikwgQYK+HFwtEuCkhCgnHIUgIOWnBkhQGD/BT04Qym6wQiC0KILtKCFLGpBEy2gYBRNAOcoOKGKM/QADQyIlwAieFkpOE4APmOzZkQghRgYYgC5qPNBXIELodCAEw4gJiewEQIOb+DDB4FU9ATAAA7kh4+Szow9fBADG/zYB77QgBVu0IWCzMIHW6B1DwBBbEB4AQybGEaw7YGQV8AABj7ohz2eHe1YZwYfkFjHLGQRD2+8AB92CJ6vweAFL4TiApmABCSOEQqD2eAFkMCHtevzDkS44t6I4IVAAjAGgiDCHWocQSBKIZRyiKHUMciBNOZNHxW4ghGIeDEjKkFjHACAFgCIwycSYMco0GCdJ8hBCM7gz0QzXDsB/3BCCsgAgA+4wt77HsgOykCKelgjBsFQRzAGkANYaMENBtCCAc6QCOfV7uSpCUAhABABjBckDjQmiBDAAA9nOAMawshBgViEI/AiHTEBuIFC6BF1guSCGH1IOzGEQWNLJKAzJfl6cnDg9IOMoewDEcInfgGNalTjF81A3AK8AwMPyD0zOEBCGZTxioHwQL0CifERrqGLQQRABUYogx+iToVlUIMVoKfGMjw4iXzI+/CJSQEluhAHAGjCBQJxAuQjH4cWtF4DR8hCnp9BYyGwgwXAB/4nZov6wzihILRAgkCcG2OENF8gSqAxN/oQfHL0oviqeUILCmKKAASAAgt5Pv8AiBB1X6CjGfO4PvZTQ4EhFAQEptDAHyBCibJPQgjEX79hCDF7jRQB7/qXG8rwARjXehBRgEMAgAGYG2mQBIeQBP0nfgQRY5WQBIVQBscnH163gJiRBlfwEBEQgl1gBG7gAR4gA7XAgcoRANtnEYjQDkKRCPeggrphDgYRB7QwBFmgEHUgD0JxAS9Ag6mhA0YQBkjwgQQBAoVwA8yQEB9QB7Pwgy+wgUKYFjhABLaXcRdRB9/wgzBQhZjhXBzhCrwgFI0wg2CIGNp3EUXAB1YQARpABisjGGiYhofRfg9BCx0QBLAHAN4XdVRoh1/Bfw8BAoKYHRTQfAbofCpwiNn/wQN7YAY1YBC0gHs1oAMBsId96IiqEQCnoF4tSBAJuG9JcAVXEAHgx4moEQAaoBBi54eoUBB+oIqakQYLUX8AsAN1JxAaoIC06BU6AArRUAEEQQbuVxDPB3UAcA79N36++ItUMQ1EEAE7iAQ0VgGheBDkBwAq0Ix3B41poQMGkYpKpxDM0F4BoAQFYYvgCBZ80GsEcQgDEQB7QAkA8AwG0QI0FgBl0AoA8AWp2I5fMQjwOBCTuG8UYAY3cJAEoYwDoYkCmRYVsIgCEWECwQcKYYgRiRfEWBCDIBAWpxCjuJF2EQ07+HyeIAESoA1ImBAqWTEkCRag0IxfYI+toF4S/0gQlNACVoAMMZkWhGAFHPEBT/CTYJECAJAFV1CQE9gQRdABRvkVTrALuxAGO5gQGrAKf6AEzXgEUBmVYMEDTImMZiAQOpCNAPCUYAkWYpgQIUmPE9iRa+kVFHCVLQcAVrB9GuCT80gK2weQc1kVAUAGmuAJh4CWN/CHBvGHzxiYR6F8A7GLAKCOjnkXcikQdRcHINCYlVkVBFkQY2AGphB9BeECitmZVcEHaCmPB/EKxkAEAAACSImaU6EDsEkQAUkQAaALBcEDtDkVSJkFWdACRoAQKSCBDPmbS1EBhbl5CPEELSkQX8CZypkTPFB3SaCA09CMf0Cd1ekSszkQH+BgkQURAOMQl9+ZFElgEBppEK9QlrFZlOmJFKdgEJWQEKbpffOZFLNYEMm5n10RAPM3EA4JoF9Bj61wBUXQiAYKFgHwBQLRAuLYoF4RAGN5mRQqFZBJEEWQoVWxCgZxmx4qFZRJEK04olKxA2PpmygqFSoQBzFGCyzXolMRAMAADAxKozoKoMkwEMyGeqeZJBcgdwFgDEdACTeQox0CCfoXADWwiyGJJJmAdGkgfrRAClQCA+I2bzNZEOmwo0mxhgRRn0gSCl/Hb+jJI6JweAFgiENgBSwKpkmRcingnQsYEAAh+QQFCgAAACwAAA4AIAGYAIcAAADK1Orm5uazxe3Azey/zevR2/HAzuvBzuy/zOzJ0+q9zO27yuzG0eq/ze3H0uu2yOy8y+y4yO3Dz+uku/DM1uzf6f/Cz+upv+9ew2u5yeyqwO/F0OrAzu0rtj2vw+6nve+rwO8ntTrI0urV3/aZtfHE0vHBz+z09PTG0/H6+/2yx/SiuvCGzY9Ov12uwe3U4f/Dzuswt0HD0O2mvvWbtvCvxfVvx3poxXSjvO+pvu+swe+02bnj5uPF0ezR4dO1xe3D0Ova3ujK1/W9y+zK1vHI1fNYwWad06SX0p+7yezW4tiguPDc5N3F3cjZ49pzyH65y/Odt/HC0fKhufC/z/JIvVfL2fbG1PLb5fs6uksyuUTT3vUgszQ2uUeAy4rV4//Q3fzB0vah1Ken1q7A3MR7y4W2yfO1xu6wwu2VsvLi5OKfufCxxO2lvPDf6P09u07W3OjU2ukbsjDN1uqj1qqSsfGnwPaLrPXJ3sy6z/+Jz5LF1/94yYOMzpREvFSEqPSuwu6xw+2Xs/GDzIyyxO3O39Ct17PBzevR3PXx8/XP1+nR2enL1ev8/P3N2vUoonHi4+bg4ud4r8q/0v6zyfarwvW9zvKnvO9UwGE4lauSr/JkxXG52r3f5OC2xu2ovu/c4tyQz5jCz+4wpHVqrb5rvZWo26+3zfyMrvKWs/ZiqbXg7OHH1vbE1PZjyHCKqvOv2LVFv1Ump13r7O/j5ecopWbH1PLa5v5Cu1L29/no6OiFqu1YxWaZuPWzyOVRwmBYncuhu/d5wKJBkcOIxK/B1f93n/VMwVus17G8zva958KBpPRpyHXE0vSwxO+C0owzl58tnITe4ejk6PDd4/HAzeogqFPX3/Hl7Pzr8PvU3PBhuYux4bfR6dSfxNjF19nS3txfyW2fuvS+28Jyz39yyn2S0JpyzH5VpqhFn6mUxcTl9ucunIhQsn6Cr+B8ofV9o/Q/rnM1l585lLFBsmi/48M/nZ9NmL5zxJOZ16FFt2Pz9//G1fEgq0v19fUI/wABCBxIsKDBgwgTKlzIsKHDhxAjanuTTVHEixgzatzIsaPHjyBDNkzkYMIBBkJEqlzJsqXLlzA1MhIToOaDAjFz6tzJs6dPABe41Kx5IOXPo0iTKl06g8TQAAfiLJ1KtapVjxUePdVwtavXr2AFtjqgYMQCOmHTql37sZYKWgcjSZIEQBGdCQ2kst3Lt29CRjPAmOBQUA4BAh0e+F3MeDEjCRUsGGCgYGAcCApqdkjUuLNnsA4URDYAdeCBEUMrDDH6ubXro5JOBBgdoMAiOXKIPK1whfXr38BhEpgtWYEbDQgK5LiQupXv4NCjf3w82g2FzAE0sHlQc9Qj6eDDc/+ks0DwBuw1nwE5gKCRRfHw4zusxY9agqcBCOiVz7//wgYNPMWAfwQWaBADEwRglhwGNsifAG8JBFVeDlYoXhwzwGCCYhZ2GJ4ckEmmRCMelghdaLQRMI2JLPolhBxC1DKQJAgQRxoBz7Wo41dFEHCCAwREMtBwtC2w45FgFYHFUDE0MBB1kkUQBJJUWiUJFqQNRQBdEjoAwy2NCFnlmEpdmWVNOBFEHzVktqmUEWcqsICYbta5VDVVcDeCBAza6adS1HCAAAcpyShjRJLQWZAu7/3p6ENyIHDCfQ9RE0RyPhQkRAxhXBHEoY+GitBjQ0mwSEOSiIFdBD6IKQllWZD/cECQotaq5n1PddDQA4k8haNAjQQRQKz57Wfro0LEIUcB+KnI0ChODXWCXhMoMEEYQ3AQxKnHOkpLjwcsQAF3QznQkA9ClWuUAgNggEoloEBgbLd1FpHCUB+wsGqmDAnhylAT0AoAHYMUQokyLzCRI71j0nIFCVxEnIgNVRhhBBcPveHMEENcAZdABohhgx6orOBMNQzbyQ8Mb7TcMgza8MOPQSpkg8sbMxOkggVhgKENQWC8gQsMYOACRjYp11lLCmcGEAGoBEWSwAkPNCCBsUMQ8AAHEDAyEB01EhvBwkkjWc0lqI0gL0I+JDhUAlw2MsRTCRCUAAKxLjBB2UfW/5KoQdUgQkQM8w5EywHNCpFoU09FNVAkAXRKh6J8l8gIew70OVA1CDiQOUK0DPfUJxqcUMAG0dakX+VkKqBBTQqsLRA2VWCHhtcHQfV2DW7vYAN2CjDAJetI1hLBUwogIFAtUzRdAOUCRULAAhxcwMLxQ1kyAAcTMFA48S1Ogwh+BwgkCdO+JhQJHYhYvdsVMVjTQI6SaEML9OA3iDjdQkoC51NGQkgjCkCABFAgQDWpQCUggBhzEYQRDsDWAsiWP/8oAFcBYMAIBmKAKQyFVQihgwSGggYqoCYAaKDBCRsgsMsMiwQjGFAFKxSJCSygAzUqSBGI0IECkAghzHrKC/8K0cMd9EpLRmkAd4h1AM3NMDxCoMMIGAG1gSjOINRoQAEasKKDhK4BGigEBBCghBgkYAISSJ3TPtEGIHwgM8QKAu6eCB4haIADD0iAA4anEGpMYQIPuABKEHIAHWxAEC+gwCA0sDU30MQmsJBCGjAAixy80GkUpGNrXoWeCWyQIVjQik0uUEWBMIAJghhAIdRgBw7UxAd3wFUN8DCAWqYBD2jI2940KR0h1MhXH1MIlh4QA+44qyCHi8ELMKADJoQgiBVwBQMQgYASpLKWA6CADsLwCG7xMjpC6ECzgpmQfqxADWrYxAuOSRBa/OgFOtBBCZ6ZwNXICATYrCUILvD/TfFIggDoIQBhGGIJPEiBClIABCYQkgAptKGWdrADAhvRioEsgAX5LIET+wlOJUyAAwQspUGmMQ5flEAKNRgEGxYWAR1gIBCBoEANJNCAICyATcsDQQ0wgIEaOImj8FkEHeSAP4PEgQZnyAELKPABCmwUALRAwAiAsIM0CE4BdFgEXSQhBCEIqQFo0IA3gVoiIdAgCvmkAkIuAIQQbAADIVACa6phug7skaxIuoQwsMmEDSCECCXAJiZAICY5PDIAHBAYXltECxuwYalpECkACtAGELj1A0QwCrp8lcnFVkgOt5ELIxSgVcPVKAgFkGoBjDIDLjBgAEDw0fc8ayJJ/yzgAIEcpEAA+ZQIdFEBK9hAG5r6gc7StkIIQKCCEHAoO2JHCRwCwANo8IFagoICXTxuiyQhTl9JwhECEUIQCHCBOQJgBo/YAQY28IkCzFa7FaIRfoCwABikoE+lnMEVPgACUKznvfB1UANcWZOG+kAyEBgrQR5wh+oOAAQ5yG6ATXTbBlyADQmgja4O4oMVYGC4bhiAcSf8GWrkDAACSLEADmIUSVwAAkp4nQ9gUITkLay1n9jAC6a2iK4WlcSdqcUDUgADBzQgDxmwAic8URADpJYBMQBCDtzAgk0IYgd6sMEOAmgQH4ghBG4NwQsk0AEC3BXIr4kBAQxggQr8wv8fA/HCE1YMgCJ4sCZqwEMhagkIZgyAD1HIAQbwN4O91pIKsGAOYhPwYzT3hVlsrgA3ZjGQObTAfCbI0gU2UYI0DKANJQAEG7IciLodZAbKAMEGNjAITAQRKgB2NFuEQIAgXIIPEXAHpQdygyfkIRzoyw86mcCCHJRgE6CgxBlO8CuDQAu1hQwB9gJwgafK2i8QAMEKKLGDUthiIF24gRdk0IV1ZKkBdmDGIGoQanhQgBIrAAEEEBKAIwZgADmQTU3Gdu3ORCIEVIgCH9BQA1J0AQAi+ANB/PGNzIwgFfE4KBWOcYxnABoEOsDfNFxBLgmwgMBn7HdnqGGCKFRCDyv/mAIWkLCHUzSjIPkwQRVGcYYVqOLmvqABDfRQiUuYAKcG0UYKUmCCbdTiFrdgmshHDqdhmKIYBjDCx15OEFNYQueWMEDUi2CDO9igZFMwAtC9GExakHPpfpHaLK7BdnnEYCDJOLhArvEOTwcCEDuAHSbw8AFAsyAEjUb7bwSwD1usfRa2+MJABLAHAHjAC5M4AzZfkAoGBLIEbAiEMc7ghnkLPjwq7sIc/HENf8zBCgQRwA/KAI47nAEDFMCAIJhgjREoQAlgNEYUENCBEX+eMU5IshlEMAeCHIHFd7BDMPARDF4wQSq1IJJkauP73/fFEB4QSBe8UJAlICQVxJhH/zSiQQxeiGkRERhNDJRnfeAIwAUE6QIUDi4DJyBECKXQBD00wf9VEMQHXmICiBB47RcWAvAEP9ADKLB4cFAQfsAK7NADKNYEP8BklrEKkCAN7SANkJAOTjQN9SFZBagWAkAIMiADIsAKi4cDBDEHN7AFXiACZYAEW4CCPPA4k0AKkLCDkFAKEjaCnVGCcgcAcNAEAiEALBh/AyECBOEB9icQJqAOOkgK9+B5QPgZAsB9S0gGRziEDKF4A1EFk7AKk1AAIniFfJGF8TcGY5AEZeCFC9EHBVELXoWGriEAckgQfyACB6cFD9EJdggea2AFIuABWgAMxScQiSgQiwgAXf+QAV3gAVuABIEIemXQCU/ghw5hBnnQCT+wYlxVieAhALLwEF9wA5lgBmvQCIexAEUgitFRBwXBhAwxC78wFFWwDbDofqW4hC0wbhmgELYwDENhAFhAgLtIgirWgASRBCqWEHMwC6ZQjCnAR8noF4x3gjLQC/EHfwxhC8VQjFOAjNfoFYw3hNlXaQoheo5YDxCAi9hQjoyhhg5xBAcnAqGwBnsABc5IB0RAAAcQj/K4GAKwBQ8RjOoDAOQ4kF0hAFDQiArBhQwZHWsAB4XoBek4EENoBnQ2kdAhAJ0QC95XEJyABH5QBh3pkcHhBDhwBEkAhzdAED9gDuLQAimmkq3/4QQZKQMFEQoD8QQ8CQBzsAVrgJOeIQCaiBBmcIQIqX1JYJRsIQAooAI3eYQGmRBJKACoRxBgCJUGSAhbsAVFuHiZoBCXhmIxqZFj4JUGOH8D4QISKBB5oJFBORCGMBAj6Yi5kJJseRUCQIsC4QE3iJd9gANjAJME4QktUA5JEJd9aY51iXCxQBA9cAh1cJckmXqPSYLHRxBPMBCe4AIewIRJKRCHsJlpqIWBOZICkAkQSRCigJp74QhXGZjL4Ai4WZsHgQy4CV6yGRaKoJsecAro8AqnwIwI4QJm8Ar60Ci/2ZAtMISFOBAKlxDpeHp8+ZxVIQBfIANbwAmRWRAe/8CMc5ALBCECsqid5jiVAhCea6hi5kkQfqCeBlidB9EFgykATemI6Umf5ggF56mRr7ALdqmRf5Cd/kkVApCRCDcGN5ABSLCABNEEUJAB5+CYCUoVa2APy7AEkSkCEpmhUdkEopl9ZSmTIroXAlCaWyACLioDg5mia7Gg55kMh0AGPyCjKvqhMVoQKLAEhYkECKqjRyGES4ihBMEKQTkHGTCkROoTDimJGWCEByEAwHCeseCkT8oTUkmVCSEAyCkQT7mlSqGfAoGPCCEA3KiRIUqmP/F+51mUB+ENGmkFWuqmMJGdsXkQKPAELSkKSIqnXGoQhCCoBgiYAvGEhvoVc6k5EHu6qGARCtAADeRwp5CqFDyADLLgB5Z6qUfRnwBwBJ3qqYNaEKdJqttpEGeJqlORnZTIqq3alQCwBaMKqzEhAGSwBR6AA7VqqznBnr4arIuqCgIxdp/XqwQyBXb4Ay3QBzyArMK6EoZQlzZZJSgjeCtKEB5QBlUikGinC7opAt0QrUVamvjJInhQEEZgfYdAi13gAtAKHzSAhk5wBC7AqeRapvE6ggEBACH5BAUKAAAALAAADgAgAZcAhwAAAObm5q/D74ys9KC58bTI9KG68aS88KvA76zB75+58YCl9pu28rDE8Ojo6KW+9p648p+48aC68XSe+PT09PPz9JKw87/T/7jM+G2Z+oSn9Yap9Z238q3C76O78Cu2Pa7C73qi9z26TYKm9qK68Ci1Ojm5Sqe+8Zez84iq9aq/8MXeyC+3QKbA+LXZujK4Q5q18pOx86i+8Nni2py385i08oqu/tzj3J+69ljBZnui93ef+KO78ZCv86G58crfzXKc+bLYtza5R4mr9n+k92mX+nmg90m+WLzQ/VTAYoOp+UO9U7bK97ravlG/X2OT+6e98OHk4SS0N/v7+////5Sy8o/Pl2bFcjW4Rj+7T3yj+XCa+c/g0o6v+HvKhY+u9Ki/8IOn96jA9X6j97PG7+7u7pa3/5zTo5a196zXsa7H/4TMjsHcxIaq+our9HDHe6S99e3t773M7MTQ67HE7ky9W2CR+qO89nfJgq3D9Z638ViL/Ea9Vl6P+2zGeNTh1n/LiXee96W98Ju4+aO78tre6CCzM7rK7rXH7kqL56XVq5fQn2eV+rLH9Xag+77kw2HEba/I/97k34jOkbLI+EG7Ub7S/sDO7OPk597h6NXc6fz8/NLa6c7W6sbS68nT68rozXjOg63fs7nP/6zF/UfBV567+Zm3+TeYp73bwavE+Je086W98nih+huyL5Kz+dfg8uTo78/Y6pLSmj6RwrXivGPIcKfB+kiauYTSjtXr2MDoxYyt9nbIgX+l+aG79pG0/4+v9aa978XmycvV6rjI7a/D7uHi57DD7vT3/L3O9MnZ++jr8N3n/O/v76XdrEWjn1Wlsy6eiLTL/iygfE6jq73gwenw60yO4kubvG3LeePv5UipkqrC+HPIflmgx6K68u7y77LJ/iija8bV9unw/sXT8s7d/rvM887Z8iKuRc7t0rXWwabPt7PI58bT5Dyglp686J++4vDy8Nvs3nmf9t7t4N3t357D1I7Ev22Z9jakgnSyv0iN3rDG+BuuOwj/AAEIHEiwoMGDCBMqXMiwocOHECM2WwarXMSLGDNq3Mixo8ePIEM29AfhgIQanUSqXMmypcuXMDUeGiSgZgIOhWLq3Mmzp8+fPDDUrEng08+jSJMqXXoQnNChEjwxnUq1qlWPZFQNFYCC09WvYMOKLdSCQIcENMiIXcu27cpysQ4e05STGSJBKua43cu3r8NLEiLdkVFwjgEDCk74Xcy4scBDFhpcKLCKzkBPFjrUhEDJsefPYY9x6CC5gAAIXgH4QDC0QQtZoGPLVlrIgIDSAhQcujSHwdYGt4zOHk485jESIEonCFGFh54QHlrfgV28unWRlyJPJmJEM9cJMmoq/1B1vbx5jsVoRPqlIcHWAV8M+BBwvr79iOVgKdgqIIInTprcJ+CACyEAxlYo5ETgggwOpMkqggiQAAN6NWjhfQEkwwwAhdBhgAxSXSiieZcQEgkOCIyo4nlyxCDAZCioteKMxY2GmwIB0qhjX8zIMkcnmAxUCA+3TSaAD9TtqORazIihgAEMEDBQJgQUaRoNqS2p5Vdi3DEUDyoMlF1pDByw5ZlWFXKHaUORoCAAZDCgxgOWoWknU5o8wCZRWQKQCVwB3CloUseI0chQHdAw6KJVpYMGawhYUCGjlCoFiwokgEEMAJgUEiREnR5zUAAVbFjpqRAB5gMEdTYEiyA+RP9wwqcCyQKFGi0ckAmqvCrUIgg1xVBMQ5oM4p4ANAjjIAoIIIEBAQSI2uu0U9IA7FAEvJmQDJRsFQF1dEAhgLP9CUctqsx08skcevDnQ44KObWVARUK0sEBt7QgwwFynItuHhFIgIIWrA0FgbYIscLEVgykBEACvCxgQxtjxBCiv5SK8ctQKRhxLANQNPSJKUMdoIC0iGTghhmvbDBBkhgPGsstGDBhMxNKnNLCA0zE4dAyprTQQh6mAtDIIErYoPQv6cS8KBXlqGHJ1FOr0Uw5FhWUzDmjXJD1QMksQ8o0zRA0DRKjRCLOKOKc4/SimTxwaE0gMICwQMcwYAACMlj/PBAmLex9ggX9CoQIkeTC4PDbgjrqXqQXF3TAAUOBkK1AZLSwFQepFcIBD86WybiWnR6UDgkMeGCuQRLwpwAxORHyFFGRg0CKKoeMvqQcBBjAwaQCmUOAAgxcglAsrW9lAQoGQKDB7AJIsLruWxrjooQ9XKwMGpqB8EXhBiFTZU0RAEG5AAsocWwHNcBLvZaF+IYoCaIWgsOeR94tEAEMnGDADjBAlC96cIIDoCBy71uSJsbXppzkCX8S6FNBEOEBFVyvJq4RhgcQsKmCaKIZsNBfAhlUiAjwBwICKYSetgIB9xGEDgqIAAdCEB4M2sACBIAATghyCQWQogUMkOAI/xsEAhoMpQogGAg6cDAUGCjmIGS4YA92cKwBOKJgYDiZQD7Rg3FhAAEwcOEQGXQADkiAAIgoSB5gcEZjIIQZ+6ncBoIhAR+EoVtDiUAHE8AactFrjPbhBCISIAdaDYQTshAjLEAQAQQIUSDIU0EV4MMDBgiDACeoAvRgUAU3xCAF7iEXvwB5HlnEAAoqUMDBGpKJQWyQBzV4JAA8MIYRpGADRshADVRwghDQxCZPmMAGRvCEEHhRADDoICmtUwgYeEcAB+gAQzABhzwMBQEHMORAajCBFAxgAEUoQg150Ip2gQAIT/jmADbwhC84iwYeWGZ5OmHCeTHkgQmooAAMIP9GAEjAABtYwAImsIB6NsAUq5CAB7bgTXUaQQOk6AYidiVP63SCgTWRQFwUUgg48CIDGSjCEPhpEOQ5bwFE2MIIDNoCYgSJCENQ5wBCoIJkVNQ8JTxWbsLEEF/YAQgTmEAfFkDRgnhgAjEFJyNqKABTKIgBO5DpFoB3U4ui4AAngIACtHmQTEwgA1sAwhYyEIhHMkCgG9CAEYAQAzAcYBWwENIYJjCCBQAhRVU9DycOQQaqJoQYMNXBDnSwgRD4NRYkUEEPNOAGEugBGXQ4RIA0QQxZHCMTIOhBDcCX1xlxQgtdkOkOFjcQZhDgCwvQwAhGEMuBkCMCEVClCDu7IjT/OEKdBEUIDDKgzjEQQUFzOMVQoKAA2mopFmEYbAjcUNSC6CEFtbQl5wSisK0QgLTG1dEcDiGVQsgBGZIdCGKhGQEeJEABDiMEJWowgB4cBoHZ3VEhaEAAFRigtQKBQsFq0j6BJEAJC0iBBkKwAZjFd0cGEFdNEGCAgXQiBqwBAQoSMJATOKKhRNCBLA88okJgNHpZ6oQgJEACzhKiGxpYQBgsAIHpcXhFteFPDyAQiQdUCBPaZIUqUlDXLxTlxUo6gYIFoAcggOECjQjGsA6SgFY0NAQaBrJ86auCoyoAN5czCBiUMIZb6uALG5bybCoy20N2YrIHsAAHLACCE6hB/wwJQNJBCMEEC2hgAxwwgBw6wQlpiXk4mEDAA9RAAxlgYgYrkESgCFKAWMGzB/UwwgQY4YYw2CAMGgjjQVhxijDUdQQbwKFs/zybYxwgAgW4QANQgI8sCOEDXFg0APLAxJpk4Alu+KYd+rCyLoRgBAiRARDUGQg7nO8EOyQ1aDQBAQGkugECgIcrBJKDRauJTQcowhY2MIAhZKAPO7CBEvDczwO8Qgt13YIOmi0eFyt7MbIgwAHQYIYaIAAa/xBIJQLA7weSrwhk3UEuGSGxLniAAAYWiOwEAQECpDaANTGA8d7tmUJUYQxtAEZdozGQarvgDOxYoQDAUIQ+ZECsff/Ygw6AQbEv6C8BeBQAL0Jgm5owIOEU94tau2CGIUygCnXgAx6iYIUSAMAQ+XiFZhLAiD0EdQJ72MMQzNAFIxABIcUqmAV2UEMOxDPnjoEFHCzQhonh4AGxiIPahTCQUpADB3APxhAADnBHaGFiaIBDXA/SDDj4HR2weIDgD1E0sC8m8AVgwigKUAC0O+PxSxiICJShBC20QgkFaIQYxFB5S7fh7Hs/XtHSbnjPHMMA8uDGPrjhATMJJACTMLoU+JEBbqfADhqoSQeI8IQNUH0HGvBz6c/zDlRIgxrSqIa2AqCISbSjFaH9pgaewCwSACEQYQDGEHTQgzIPfzguUMf/OKgxDnXI+vUB+ARoFxACmO6ABB0wBgrAUAWW8QDh379OAGbwgwCsgCCGcH4OpgVFYAe79gSBsCmZ0Dq40UL5Vx0B4AKVYAJCMAOAIBCu0AQCKBCZ0HTYgA39sAdPMBDFAAOlcQAGIHwPKBt/YHQC8QYBYA2iEGsIwQmOkAg4iING4DCYAAVycgeut4KOwW8GsQJYMBBHEABlQAUOgH7nB1jZQAtSiAuGRRAfBAvNJYR+EQBpoAh/QAEEcQORJxBXEIO10H8RqAgrIGuF4AvfgApwiAsTEGZauIWQIAVHpwtN+HomMBCLAAgfcHQuEHtHlwayJgYZkA248A360AN1/zgbbBCIAhEKewgALkAQH8ACA5EELzAQdXB+OBAIOqADJPCIs5EKmigQtuAA/BYAQTBtAmEIfSgQSyACkieAhcAJ3meKfREFOTBtUjAMN4AHOTALAXCEAtELfjBtrrAIXmAIACAFVrCBvDgc/GYFa8AG4dCJR7cIs+gKs2CLAOAKkxAAZwAIhliN59GKoJCKAFAH3AgAR8B2ApGErSgQmqCL6lgeukCPAOAEswgARyCOALAErRgoZKAAPsAAebCP1kEB3hCLP3AGJcACIsAFdeCHPzCQLBAPNTAUp6AMDlkc94CHAuEF/tcEM5AGBSGJ/xANW9F4uziSfQEK8egEsv+GBwUhjuoADTH5AP1Ek33himkwA9vwjTBoBV7QBKlQEE4gEP9QDTGJA0LpGQFwBSVgCFKgC1cwEGwwhgBwBlYwED8wA1mwBH7gDhYwFGhgDlXpGJE4ELbgjk85ECyghEx4kPxGBhxAAgTglm/ZGKi4ifFYCbAYjdRohSoYmL2YAwIhBY+QBAOhCPEIg4ypf1GwBkt5DYf5Br7IB2uQmJc5G60oCph4kKNZHgdZC4dZAueHl5WYmqARgXxgAkkQDgQZBLLmf05QizcgmrLJFz9gkq4QCgTBB7J2Ay4IAH4AnMH5FVNgEE0giQDABwQhBbL2AwFpkM/pFgHwCLugaAT/wQX06AracJgmkJzWKRBJ4JzdyRQBkAMfIAUs8AcEEQBNIASV4AUUgIwAkI6vxwUmUAp+IAnvyRYuYJIAEJr32Yq1QBBY8JpLGJsHChZBoKDeIICl2ZruWaFfMQNj+AFrOBD7BwhXkAbXsJy90KEeahXKGYsaOBBRgIyGYJoDUW0tyhebsAsKmgub8KObsA7uWAoE4QpAugk5yhYV8AjUmQsV8KQVAAr+SKQD4QpQ+qRJuhYBAAkf8AF1cANBcAQmUIaQMG2GQA/xqIZOIAJHYKBZKhYBMAygcAM/AI3juAZ2Co4OsAZ+4AIzoKB4wKJvihTReaED4QTUuYoDYYRI/yiog4oUP8CNrtAL5UmJA2GWN+qoj/oTAVCXhvAHLoAFlYAH83CfK/ACWeAHUbCpa9EEy4mS91gQqMmqVxEAFDAFEbicZUirW/gHuRAKbHADRxCLurkj1vCAkiCJL5AKM/AGb1CsvNoXhnqSsxqtfOECryqarEiE1lqrOVACJXAEN5AQFLACa5oDq9qtVvGduzADorkNxMmg6moV0akQwxCP7TmvVBEAz/AMv5kQ9hCQkKCp+soSxzgQNHgQFNAELJAFV5CuBasUY7mJ2hqrEasUk0AQIkCwF/sTP0AQi8CxHdsTAcAGQpAF0ziybWGruKqyK3urIuuyOxEARWcIn30os2ERBARhmTh7FRd4iz17FWdAEPkatFURAF1pCFkQs0bbEizLtE3rEvUatVSrsunwClUbtdV6Jj7zfSWbBFkACFBrHXtQEGWbf1xgp4ZwBmNrH84wfMnwCMupDTbFtfl3qgMRqDrCC6ZojixgAgOrJHcwgnUYAH+QsJcZEAAh+QQFCgAAACwAAA4AIAGXAIcAAAChuvHm5ub09PR7oveRsPSlvvagufGSsPOOrvSNrfSTsfRznPiiu/KUsvOQr/SvyP93n/ebtvJHvVeYtPOIqvUotTqz2bhtmfqSsfNolvtxm/mR0Jm42r2/3MPi5eNrl/qpwvnh4+f7+/tvmvp2nvhsmPmWs/JEvFOct/K928Fbwmh4oPeApfYyuEOXtfiRr/ODp/aWtPeeuPKsxf2HqfWfvf+ZtfPU4dWh1KiFzY5vx3vd496et/FUwGKVs/R9pPmMrPVnlfp6ofgrtj1hkfxmlPqLrPV9zIiZ0qCe06Sw2LZgw23Z4tvQ4NLg5OBkk/tznvuVs/eFqPWPsPjo6OhKvlqauPqKq/U4uUmTsPN9o/ceszGnvvCDpvaXs/N1n/uCzIut17Nqx3ZzyH7M389nxXN3yYLH3sqMzpV6yoSDqv+62r9Ovlwut0AktDc9uk7z8/SatfKBpvZxnPmDqPlRv1/u7u6zxu78/PxgkPz///+Wtvt4ov+Zt/dznfqdu/9zpt2o1q6V0Z3G3clKwVrw8/Hj5uRkxHB2oPydufY6ukuUtPqSsveAp/6ux/5um/vc3+ekvPGvw+6Hq/lXi/2ivfnR2eq8y+yUsvSlv/mLrfinwfldj/yjvfb3+Pp5ofuswfC4ye9co8LH58zI0+u95MO727/b49yJzpJAu1DW4tjC3MaPz5dux3mpxP+KrfqowPeApPaNr/k9vU5FwFXM1utOv13G0evBzux8pf/p6+6IrPxPifSUsfO+zexbjfybuv1SiP3k5OaX1p9bxmlamtu24bzE3cdkyHFqnujR6dTH6sy04LnQ2/OvxfU4vEpCk8OjwP7X3em4zfx4oPaRr/fk6PDV4f3C0vcvnoo2mp3s8PlpzHaxyuiYuOxmnOPa7Nzm7+fX69ne5N/R4NJlrrx3scttn+mKtNxWu3OT2Z3h4eG858FanM5jxG+L05WA04p1zYHL2ttTvWDB1P5DjtTg6v9Tltbl5ugqr06+zvSYs/E+kr9FjNnc4u8I/wABCBxIsKDBgwgTKlzIsKHDhxAhfsKWzdm1iBgzatzIsaPHjyBDimxo6YGDAhVKjVzJsqXLlzBjbpwEK4DNAwmmydzJs6fPn0B/cLJpE0EuoEiTKl3K1OCwBSGIBijwq6nVq1izfuxyReoUrWDDih0rkBGCAykUdCHLtq1bkCIA/Es4LR+AUBQkVH3Lt6/fhHgy2WhEIe5ATA4yPKDA7a/jx3/xxGgAwUAFSQN/zTlgM4Elw5BDiwar4ABlAwEQDFzQg2gDPrZGy57NVEuA0wEeTBKFKYHU10dpCx++8+zpAxhqOEhg4oRrRrGJS58+UtTkyhtAcA4wRYgEmw+ugP+mTr58xlAKBpeYIXVLiwULJDU2T7++w0gCEUidelSn/f8AKtSDHFLVcEmACCZI0CUVONeDApgoKOF/InBz0SWS+CLHXhN2SJ4oCwyWgockmidZAJVVsFaJLA4nQmm4FXBgizT2dU0pmJQy3gK3VZaaSjUGydYufhSQgQII4CcQj7gpIOSTYg3jRyNELZCCYZKddsQXUHaZ1TQyoEaUFjMC0IUCgMjQgJdsXhWmVAsYdM8/w7Rp51J+eELUAUEoeeefTZVCSQoBzDBHhIAmypQzKWQgx1EiTOOnQ5FOOlCFimaKEYjLYeaQMz8ssNh4ttwAyBVcaqqqQnhsZlMMoTT/dAkvrQUQBAUE1SABDSEUUIClqwZbmlQFNCSBJcQCKYlzvOYWXLCq7lJKLpg8sB+ZC4mQSVREUSUQBQf8wAcjFJyAB7TRKuJrBRjU2pl/Ct2giVQK4CLQAVvQ0UciJHiBKLqJDqMIFURVY8J2WzaUyyxE/VCsQF3oMYQjjpQgBJAAA3oNHyHE4rEmYMDywguxPJTNLC/kSZAmm0TRByigUJFNxora8MjNNwOCzT0HcVPPK9TwXBA1wUiDDUHS0PCKDTYsXQ/Niea55xHAAhCJAgWkQEEMHIrAR9ZyzHGuQKHw2CwW9kL9ZzZ1tNbDHBwWRMEPexbgXxeMSJXAQNMo/+AADZwk8IPaUI5HkC0IJODAswVdox+xuEQSybZSIcBhJAcEc8UkhD+JBwILJPCvQPsUAIMCoiSUwX5eYKFFAlEM1S3jAHwSR+dCNhDDTS1wKEodnB0gy9gGSQIDUQ9AQYFNDESx3QEV4G4nFlIdEKfVVIhZFEKRFBDEDVqAoABRM0Ayx9w10C69kJccD6d/b1aZUCShnDBDDb8xIscJPaRd0NHwWp+HpvE4oiRASfF7F0Ik4asEYOAGrgGFFwrwAAWUCQCiKMAVXhCE6AiwQ/kIwPhsMoUDDOQZmyAKFnB1kC7sziay0AChArAFDbAnAHJ4gH9y0YIA8GoGR/hgif9+gCQErEggu1BEERtgOCSubk8R2EIBEPAHZBEFBmmbAaGalYHRCbE8tghFA/Bgqbh4kCD/CAAMZpCQayxAAlPYwhy0oAB+OGoK3LLJEaZAAD5yplnm+iJ9SjGFL0jgAXtryD9m4YAU+KICZySIA0jAABZEAAR6qIAEKICBmthEAsAQQgnoUAkQ+DAqaBOkebCwnQA4IAAMEYEUFEGUFDigiQDAghBYQIAhdKITEAxAJjRgrQMYoRJDIAABIlCJFvBKcbhUJW1K4b4qXWQhYZrBCb6DrcbBJwIb2IAQGFAAmzSACjXIgBagEAFlKhMEJdBcrKRJnlI8kSgZYMglZED/gCLooRPVkNFBQlcCBpDACAxw32twIQIRbICX7gRBDwAwH3qSBwE3zI0EYrmBShhBCFCoxAYQ4oBdKrMTeghmAKgwoyBowJ0EgIIXLTqdUjRIDr6qWkGmYQQ9FAEKUNADCBAShHBGoAQgMEIMbnCCCjiDIAdlwAag4Cma0mcSXRCFTguCC0iAwgQaMEEEMBA3gVzDARKQRQmGcKQudGESMypFdALQggoQz6otsgUkgABTE/hvILtAgCwYQFgGKMCD1EDAAxCJVy/VQQju1MAGcHmEIriTBCQYiCh4QZQb/KqxUPqDEEBgAgIgZBcPYAElK3lYgXxBdjbBImiftAtM/0wCE/jBgyQ4RxAefQEGDpgBDICUCU1gwT0IKMBMZxskJEnAAZBE4g2+o8IZzSAKdDiqCVgQSebSSAQLWJ5NeoAAw+AiBoQ6QA0mKpAbaACiJDCBd7tUQJtk4BKf2AUASkEBBywAD3USSCauUIINMMALD1DffFl0z1clwAZSQFQkDPeDK4CTDluAgYIX7CERSEClyZMABDzRAt4aJAAaaCcBTICBC3KYRZcIQgEksAAhFCBGLhaIBKIACUtioAXdfTFx4nKPHB+kFJeIFAVqoIAaHIACgHjBDBAQ5B9owguVTEAB8CBXIU9HBD2Qgg2CkIJhCODMBdlFLEyXAF+0wP8ESe0EAf7QhygY1sg3oERh/xABL2SAggH08mhEcBIDQKABNZhEGOyABAEQRBEptIkegJFMAlRCGENYAxBMQIeqycGyytRAJZwTgBskUtCyuYS1DN2AAIxCIFzIAUEaIaYvdIKdBGCBHjxaZxYkwMg/qAMGCFsEDPgGPBtGtV8Q9wVK8KICPXi1QM5AkBeIqQA+BYEGQFAEYGxAF0BYAAIwdimonCABCKADA45AFAekTtmimUYNMAAGXdCBBIF4AwAswAYA8AANkbD2JztRiZ8W4dImcAQYfhxogQTAijTEwD2PQG54OyYSJdAAENYwBCMcQRBpUIEAcDCBLCzCG8D/KxQwhPFRIwhDGBHQtAkYULVLwIK6XtCAeKFp8dA4QwZ1qHcirPGCawJgDAOBxz6oYI1ZtMCX/iwCCDCwL0pI4akGuQMApCADKTwDTF0PhdF77hhnWJsTr/CEAYo+ECQMRB7PiAIJ6G0AT/jBDwv/QyLAQAUZYB0h1zB64Mkeb4yewxzpOIEDCFIGN7hAFd8oQgkIUIJKROAmJKhECTSd4oYTnjy4cMc2tLGNQBikCR6Yh8bdyQBgVCAFJ4CCBv7giESYIAae//x08qEPbWgDAOpACC5IAITsbGAIIPCFaTQ5hTXUwQEIqLjuiYNmAaBgIIhICAkOfulSpm11uIGB/5GnP5snIMEHSRi5Bd7gA0cjZOW9iL8wgKGkUBzhNIkh/3QEsAKBvOECAHAHe1AFCWELGhB/COhXAiECXxAEgCAFJ7BV+tcX7jcQAmAHA8EBDdFVxmAP/mAP+EBWC4INfzeBkHFmFSgQAtAKXLBvhBCAA6iCaDYQl4AB6BAN/RAN4KAB42eCkKECKJAFiGAIBSEGLfgGTeAEVkALVsADOGAFi4ACqFBtRaAMxqAMUOAFPigcAgAH/mcKBCEA+iYQZICBApEE/ScQrVAQjSAEJAAJDhBgWygbAtAGsHYMYUgEA8EE7zAQOoB0AqEGBxFkcxgaAiAIROAGTGAIVdABgv8whYMAazjgARZgAarQBISQiKqwCoVYH2jgAU8wABxgAQAwAU6QBPoGB2WQA3oIB2gAAJPYBJ0IIANwfQKRAxMwEINghgCQCoPYg7M4GwNgBgJhAWLgCrCWA9QGAFwQiQPxAV1QAFoQBIoQjOSBA0RgAWYgAE2AAhOgAwLwgswoAB+QBiuQBhRQAUSxCc9gjdIxAD4gEESgAgCAgikIB2fQgvoQCFJhAFLgjsQxAFYwEEoQhgTBBWkIAKPQjy8AkLOBggOgAy2YBWVQjyg4hgBAD0qgj/xIFAZABRLokG7BChOwCGNgCGjgAhbgAx/QAW/ABUSACuzwkm1wZkmgBhf/MAk9ZBOU8G4i+Rhd+IW2yAVigJHLeBD50AWCUwA++ZOOUYd3GI8CoQR6KBBMsBCRkHtOyRcCkAOVuAKGsARcwAVt8ARpAGvlsJXmIQDIwAY8MADZJxCsIAAXkAROoJb/MQAtSIZ4iSAD4AIDEQZ9WR88oANM0AEDcAoC4QIpCAAfQAzdkAONOZgnaIZusAxVCQAFaYE7cIRLQJl0mIsC0QwYuQNhKJUAoAOg2RcDMAKNKQBkIBCLEA4DKRBiEIYsuG8AuJpu0QGFQAvgmIIfgARn4AEA8JkAQARPUBACwAHxcAGTyZtgIQCACQBuYJwIoZeBmRDRKZ1ZYX3F2AHM/zkQA0CKAmGa3vmUOrB+t3AIzKkCFxCKbgcAb8CJ6fkXAqAGFsAFE0AOYcgBbsAFcCAOdigQ4nmffpEHtCCPzEAQeVALsNYOBFEMCNoXcRAHhSCPpHChHEqhyUkKewkAycChF1qhbaEC0FAIHCAAPJAKZsAKAEAIlegKA4CcjPkBHGAGYtCdJpoVrXlmtekCZSCVl2mRZzYGLchvPfoW4MmMSyCaANAMYXgLGbikbiEAcWkBToCeWTAOYRgGR6iYVnqibmABO0COZEAGbDAABfEBarAD0DmmbCEAWSCP/dYQPCqnViEAoskFu6mn+EkKzHAIApAG+4kCHwCo+BkGKvJ5C08gAPDJA4qKn3W6bwc6qU8pmhaAnZjqGB2QoqkwgwdxCIOwA6eQp52aFD+qEMPYgm6ADKn6FwMApZsZq1exqgkxAIIIAC7AqbbKFIKwn0yQp4fgCmOwBKj6qzuRgrKGp8rKFAIQohr4rG3Bp7AmqdRarcSwDjiQrd76rX25CslQC/QIrmIhhrDmq+aKFdFapeuqFQJgngBwqe+KFWXgAtBQq/W6r/zar/4qJI3wr2AhDAK7rh+QBEhwlzVSCQXBsOTHfxOpsFACDOT3CZ8AocxoCp9AIxQ7h/xXjK9II5vQiU2wAkzwpzVycB6brNYYEAAh+QQFCgAAACwAAA4AIAGWAIcAAADm5uaTsfP09PRtmfqEp/WSsPPh5OKXtfhTwGHg5OCGqfWLrPXR4dNcwmrK3s2UsvRsmPmFqPWNrvSHqfVQv144uUlJvVjM389Rhv6IqvWfvf9gkfx/pPaApfbG3skut0A2uEbd5N5LvlrD3ccxt0Mstj4ttj+Zt/ontTpmlPpikvtej/yBpveT0JuCy4ya0qG/3MMzuERoxXSQ0Jiq1rBfw2y02bjI3ssqtTyQr/R9o/c5uUro6OiPrvRnlfp6ofd2n/iKq/WGqPaEqPZ7ovd0nfj7+/tpl/uo1a2KzpJzyH5oy3SW0Z5+zIjB3cV8yoaGzY/L381Bu1DD3MZOvl13yYPb49y22buv17Ta4tu62r7Z4to8ukw9u05kk/udu/6JrPmCp/eIq/mHqfdplvqGqvmQs/+MrvmEqfmDpvZ90Yip2K+Dzo1txni42ryh1Kc2uUdvx3pEvFTV4dey2Lc/vlCu17Ok1KrW4tjS4dRFv1W5yu1qmf+VtPhynPmkvPKApvqpv/BnlfwltDh1nvjE0OxYi/15ofocsi9znv/z8/TJ1OyNsP4ktDZvm/uWs/Pa3uj+/v739/f8/Pz5+fkgszOKrft6ovxax2hlw3BRw2CO0JbI5sxGvFWf06a52b2T1pxVw2Pd5d6m1azj5uO828Cx17ZCvlJYwWViw2/U4dVOwl1awWe/ze2evP6Js+t4pem1x+5vmvnQ2OlcjvySs/mYtvkiszVajf2guvOQsPhVif2YtfKdt/KbtvJum/+Yt/9+pPmHq/uuwu+Ytviyxe9llPxPhf6Lr/5LkNrk5uR2n/p5ofW0yvvE5Mlvo+CM1pal26xAuVW738DP5dLW49hkxnBdxWrb4t2W1J6Zy7Pb6N2/6cV2zYJiuI2/4MO24byv4bar4LIwtUhKuGmR1ZlDtWZ0zn+E1I7P79N0nvtxnfGrw/gtrVt7pPOSsfNdjfxll/LN2fO7zvg7l6zO3P3l7f9IiuVhlPDY4/1Fl7s1mp3g4ucwoILe4/EI/wABCBxIsKDBgwgTKlzIsKHDhxAj2nNGL6LFixgzatzIsaPHjyAd2mpBgUgRQyFTqlzJsqXLlxkBYRJAU4cHmDhz6tzJsycAMrdo0hTDx6fRo0iTKgUwBIVQAQVkLZ1KtapVjL7QPA3C6KrXr2Ct0kpTwIAPD77Cql3L1mO/e/8ORqI1UJcGHVLb6t3LNyExMmfSMCgoSwKFAoP7Kl7cV5ARCBsQAOk1kI8RAzQ9+OnHuLPnrx4MQEYgQAJdAAV0CIVwCeXn17CRUhAwWoAaQcRkeXgKYVjR2MCD45QgOrIBDkWGtFgxmyaENK6FS58OklgQyH6+cMAsAAgLBkPRcP+mTr58Rl07zpgpo1roHyNDFkAyT79+xHsAJDwVQPS0/f8AKuQDeEIBEeCBCBbECBAaCOCDMMYkKOF/bw3UyxA+/DbhhuQZo0FgPnAoonnEFCJAZECkNeKKwfXTQXGkLcDijIq5Yowr4wk0W21EREfjj2GhIYYEHRQwUD/E1eZBV0A26RUaaQhV1kAljtaBBk5maZUZpAlFAUG/pGcGZVqWqRQtYXRJ0xBMmukmVf2E4YdQ8Ozw5p1UucLMBA4WEiGegB4VAACM+DDEBK4AkGNEtEQS6KMfGbPAAh6Q2dA8QiyAWEGGMNDIJVhCKqpCghTCnRGANMQIJu11kBgAtAD/4QMYKBRg5Ki4FvTiU6Yx5IMtTxXg2i8N0mqbhrlCaggfshSwnwRtJkSGU0IRkZcGBmgwjBkMUCBIsqLuYmsRK/jwVAsNMaCmAC0kCgAEf6jQxyBfBJEXuIAKKRQB29G0gxAN8REIdxSo4SgAvhxCgCKPlMGCj/i6+c8lKBRjcTFIIDJGGLo85EwgYYSxC0EICDNIH30gkUZFEb8pyT1nvCKzzGfYow9+BjkDRjv65NxIMPYQdAYYwTRyRjBnsNzym2PMSZMBdsrVAREDFoLsMAUMaMS3AumygADGFuHu0m7Sw4y5OhiBLEHdCmVArwD8Ysa5/nUwBBi3XEl2k/34/0eQIUN0QMHaBH0drCuOThushpFAkMwlqe79oyCGefBnZQUQSUxChgtVSBEUiFFGUFISvojkP0ISBGYG/KFhO8yw/gfXBkHiLE0F5CIETT8Mwp0BQPiNOpCR7PCUAQuMF4jTuB9sUAEdZMpBB0LpcMwf3RZB+PA00qLfUxTQhea6C0RbECAMGNAMb2b4sPvYA9FizzzOc8/h90LdBEAkY6yr/0G/sNVyduecPgBBDGr4n0CIUYDHRc1+HIIE9WgSBAEMBBCBEMoOXlWQX1SQJkZggbkE8AcR0oQBBhMIH/4ANhT4YAfCgyCCNNCCzKloIGgoUgEsZRAxcIcmEfjDpP9+AKxquUsAfDJWVGRoH11AgnYEYYQhYhgJSMjHfIVjABAIAB9XLUAHQaAWTd7RjFkEYRaqMZa3mEifIAjhLB6oH0ICEAlhLGACCygCFgWigS/8IAJI4MAhZMUADiCiehmoRRl+kIEVtFAAYmMjeSJRBHh4CQINIcMuhOIDCixqIEVgQQQIQIBD8IJAZGCBGgRggHjwgpQEQEIGCkErwUmSPIYgwn5ktBBa9G8CGuATtA4yBAlEQAUqYIEKbgeBQBSBCAuIByxJyYEINAINuvjkLYFjiNsJhZcLCQMBeEHOCJSPmB4oAzJzsUznDANHAFDBNAmwAh1s0zyRKItQ1MD/wYQcI5G1qEUGfqBNAGigFqOMADkJ1MyBtIAF08zFve5JHUMAgQIMaIEYHFKLQxwiFx5lQQwB4IEvfAEJZeAAC4LQLSBEawXx+IIKcjEfipqHEYLwhTHkiBA+HINfLOAAElYw0YEswAdGKAMB1NCCX/gCEF2hhSsM4SjVdQCKNh2RIb7wiGk+jJh/+IEKZLqDNrWjAEQQQwtGmtUVIQKipFQmQnagMFKu4AtUOiRNhFAAnrZ1RYMI6gpmkZAWRGAFKvjj/4RAOpqoAX5/nZEsBCEVWgiiF4Dw29c0UIAh6IAI7iKDH4owCyMQwVqRzRItOiABPOpxIAwYob8GYoBj/6ggAiklwB5TuyIJEFAAOkjeQIJgLuDZUyA+YAESCBCBL6xgt7zlUCTwR5MF+KdTQ9AAFMmABrH+oBAF2F50pdscoQShBeq5nEHIcIljfmEW4R3vjybwWw/kggEb8MMfImcQASiXuSvgAHTlO6EdFACPLCgAjxAyAXrhdgVGILB5+jGPnjFEikzyARAKAAR4CKERYdCBBCAmEKAUQrFEEARK/Cphz/RDB2NohDAmoBBdSAB6GjBCgFnAi1n8YF4/aMEeGYCJH4j1tkEQIFtbrJh+LEANCNgABIAgCCq4oAEF2YUwnnaIDJAyAhngRQQYxgEVIEQHuYAlBzLQIAEIQf+BTO4MLXYTZQgIIBbkAIAXsCyQSKShSxrgxSGUqtAMsGBeERDyQTSwDsT+4BAraEG1xBvnvXRTA4jARBF8AA2BpCAG8UsTTYgQUg4Ikhc/AMYjNEXin6CAhkRIrPGqu7lKewYIK0ACMI7xhWZMAwQJGFQA6Ng0mkyAnB/tciOBUQYIIwQCRRTALDigS39B1tZ9cdgjFBGBWuwgGx9QAAAC4IIE0EAW68CMDniBjIAKNANjfgQHfuDXVfFJAEFgAQE98CVsM2YeaTACElLWgjEQhBqOAIAJOuEMMaRBDEZQKDl5wYEVpAwRZJgHQvRhhjCMAapmGMMYOubvf3MJAcH/QAACwkAQcCQ8BZ0AxCBMjQQE2CIMaAjkyQYRiDFovOT1ma4BYAELAWig3wIJgBVGEAU/HGKUsizD076QgTIwTLksBrp0XMGOetRjH+8wyLBpAVdSMnIHE6BALliQ6ghwIAhL1npwAvANAPDDH9tAiCtWQAAVVNztQoBAL4owgSAoYh0SGLHc69MEgSSCBAjZKi8yAIAMZIADrvlabcQw4MV3JgAxgAEXABCANmQiCwnpx+Qtz/oLFmE0C5CA56eDhRMA4AJaaIghWCAQZCADAByIzpuTYYZQzV44NBBICXAQsGPIAx/QzwdRo2iPzh+fMRgIgQkcMKiGfIEAygg//wHiEffr9+UAUUiAKQZQEAUkgBAvGLY2MsGGYTchFZ/ovkDQIGZ5RCAXQWB+wOEEAjEH7EcQquB4oAAHlgAAcfAANYALAFACH1AQacACzoV0AvgaSiAQFnCAAyEHA3EKpCAQIPABd5AIAJADT4AQ5beBfHEFFVAFScB+wzYoeWACjqAJAaAA17AJNBAABzADFxAF+geD5HGDAGANI2ABUBAAXFABPLAEAXAFomAHbiBsw4aEAEKAAMADD9CBABACH9B4AAACLVgQtGB9XPgZbCCBPKAFdUAIY5gHb5ACACADekAQB/ALEhA4I9OG09EDTuAAFRgAn+AED0B6CZACLv8gEDiQBHSgRUKBCfwliMBxAyYAAAkgAgWhCQOBB1IgAwBwDu/wFAhgcJgYHG0gECGAAQWRAwMxA0kgEO4QC6gYBi+4invxASWQAtxXEC8wEA3QADyQAuXgTQKAAIHAi55xAErQCpDXAy8wAm8ghDZwAkEYAGzABKAgEFoQA1cACEbwNIjQDs7YGS+ggp4wAJwgEFOwCjPgeFuQEAHgC3YjAeqVjn0RBQLxgck3hhgwjwKBegyRdfzIFlxwASMABwMwChVwATAQAHSQArgQjAlZHkooBYSQCFWghUeYkeZxAY53AyJ5IFDgeIt4kuYRAE9QAwcAAMvgCSdQiwZRDd3/MAosGRt3cAKJ4AAD8IgrmAcFgQNxcHujt5OfYQUC0QUDUAElWRAwIBAnAHlK6RlbAAKEYAMDAAcCkQPiRhBSEAeOMAIxeZVroQDmwAR8RhAB8ABbEJOlUAWEMJEGwQ3q4IlouRYiyIkhWRAOIBCWQAV7yRhLIBBe8JcEEZgAkAgmWZiK0QCowAo1UApit4UNgAuWYAOKCZlrgQGbYAd4EJJ0kABd4AIDEAMqaAGd6ZlhwQQCwQqUUBBrIBB7IAmkKBDi4Jp6sQiLEAq26ZvCuQjSoIJeUAnYMBDPMJynw5thcQBrkA6rQHokUAfCJgcOsIilYAEpYIYPcANh6Zxt/1EDIGAJMxAAdVACmwmCAkEFMpAIFaCX4rkWbgCPSteU7AkA75iHzDefa5EFOWAJqhAAWGAClpAK+UkFJZAIZumfaxEAUJAAsBgAJIAF4UkQGIAFV+Cga5GSAFABrcmhe8GUANAFISqiYTEAR2CZeuAFc2CXKMoXDSAKqFADIBmjfWEDAnEBJ4qjYSGGU9CjPvoVCuANa7CHCtEDD3CNQ7oYTxACuNAKF9qkbdGKAGABsEile2EKPlkFZ6mlSSECTGAH/ZkQPUACWSCfYIoUU/CVQrqmS8EDjvemcJoUp5AIlpCFdcoWKkqne/qngHp8ARAO4+CngcoT6wgAc2Coh1yaEyUgmIzaqDBxmGcYqZLqEgEQCtGQe5faqZ76qaAaqvJFeaJaFaTqeQEgBTFgqQGSC7O3BRZgAlRYqj4xCZOADrZpqzPiqgRxqnJHCgkHorRqFAFwB3igpvwYEAAh+QQFCgAAACwAAA4AIAGWAIcAAADm5uaGqPWJq/mFp/V7ofjo6Oh4n/djkvuHqfaQsv98ovh6oPiApPaDpvZ1nflznPlikfxejvx+o/eLrfs9uk52nvn09PR+pPp4n/h9ovbG3cmOsP58off///9hkPzu7u59o/pFvFTd5N5XwWXe5eDK3s06uUpcjf13nveBpfdvmfmCpfVqlvvk5OcyuENXiv1rxnef1KZJvVjD3MdLvlq+28Lj5uPV4tfX49lCu1GBy4qj1Klcwmrb49yKrPpbjP02uUd2nfh5ofzz8/Vfj/17oPgvt0H7+/tQhv5umvyRr/RtmPqhufHI38uV0Z2n1q212bm32rxgxG3D3say2LhlxHFsl/rP4NFoxXSb0qKt17N+y4hOv13h5OLg5ODi4+Z5oPhGvlZ6ofhym/hmlf9kk/0gszNnlPuPsf6uwu8ptTuCqP5xm/p8ovmEqf92z4FLwVtUwmKL1pS6ye3g5+GEzY662r7a4tt6yoWQ0Jh2yYF0yH+KzpM/vU9awmiLq/WIqvmOrfR+pfyFqPVgkP2Xs/Ngj/t7ovxznfxwmvr7/P2Apv5Zi/3t7e7O1up5oPrF0OxxmvmJqvVolfp3nvnH0+2Krf+ctvKJrPvCz+zS2em0xu5mk/tYi/7v8PKFqfqxxO9rlvqZ2KHP6dK/5sTT5NWu1rOj3aq94sLS6dVBvlKk16pXw2VvzXvE3sjV2+nB3MXM7NCHzZCv2LXR4NOs1rHi5ePM385TwGFxx3wmtTiDp/m+zOxikf+Hq/o0ukVUiP2qv/CZtvdrl/uTsfatxfva3uiEqPostj6mvPB8oPbr7O9Yj/Gpwfh+pf+/zu7H1/zk6PDe5PC05brj6uTR79W44b7Z69yS1pu65r+D0Y7F6cq/3cOY0Z/i5uJ8w52Syaw9smBtx3hkmuNgyW5tyXnl5+Wq4rJWmNRfwHWLzJmY26A+lraivfdIsXe4yvXc5v1NifHj6/7Q3v3L1/E6nZXh5vCcu/5PjOiKq/c3mp3S2vDn6/TZ4PD9/f0I/wABCBxIsKDBgwgTKlzIsKHDhxAjRjMGL17EixgzatzIsaPHjyBDNgRlocABRb1EqlzJsqXLlzA1DlMioKaDB49i6tzJs6fPnwt+1Kx5gNPPo0iTKl1q0AUDCkMFpFDDtKrVq1g9LhkU9UrWr2DDigUAa8gBAiweLBnLtq3bj8fm+Tt47NEmAP0MLXBA9a3fv4ATKivwBlKDgmqMdDgw4VPgx5ADNxGVQMEARYLACAzVgkBNC5kiix4t9gGBygMELLAEwKmDoQkQQSNNu7ZSWAsEoBaQoYkwNRaixjZqu7hxnWMIoSaAQhEDC0A6wB4y+7j16yKVXUGNAohnASs8qf/4PAi7+fMcDZF54+bD66FoWnToIKgf+vv4Hx6LV89IVN6hWLKJC/kVaKBCDkwQ1Qo5HejggwNZsoIGAjgAgTAQZmjgPNMA8IggBTgQioYkoifMAoWpoFmJLJqnTAsCWMbEWi3WeJxpuzHAmo08AkaHGnQQhJtulgkQRko9JsmWNBhUEsYDGRBkxGlFWqDklWG5gAEkQ4UhwIpNtIAaBAusiOWZVW3iRmpDFdAgAEtA8EYImaFpJ1OPYMBmTR0UBEs8/BB456BJYZDAUARAQOiiV8HDBAsCsNBCX4xWqhQ0DjCgglF1YbQJLIIWNI80lpbq0IrCFLCAWg9ZMsECjBX/FEkDbAyygKm4LhTmd6IY0pAlSrxHhooCPbICCxxQkEIGx+TqbEEQEBIVA7AwxAsoUR2A5BLSJStAJcQ9a6o0vYSiRgH/MRAJQwVANdQBfWlAQAdDDNFAB02IiysyB6RABhDjDWXBmwk18EtUFgQJwCRoSFBIESiIQqm+i2oZXE0IeFeTJBM0xEki3xVQSbMAGBIMAmWUcQgM1VHM6CAU/CDzAIUoEQIGxTxkTCI3g3LPQD+0IYEvvkRggTEuMzoPG2k03TQb0QAwzyKiGqMAPvQURIQzbFwS9UBvcHAJI12zgXTSi2IQyFCEKHoQLBAc4IAGxIw4ECIpJNhCvgIZ/8KAAN62oTDag8JDDKQOUDIxQQ34VxMBRtwF5xBRCbHjI3Fz8MMDHZhJeI+weC4QPAUIsUC4BUmTW7Z0wHJMu9naTdYkjAyCieifs+hCEwysiiFBahxQAATKJIRuV2QskEEhmWSLukBE5J4kIFd4RgAlsrtDjGeEoMG3QYKkMFQKMFAoQBGFfEcAg9KjCUsbURFQwECJrD0UtQhlAIEGDHjyAKISaIEGjKCI57UvSZZw3FAWcJc87UkA80sIJlQACEkIBxIEmAAgBkeQaESjWgdk0SMUWBMhCAQWIXhgBiRnkCX0CzoKqkkCzLCCFBwAJwRRRhgGgQgIrCuEJQLE//9qwoQEDGQYEBgKx0JFkCVcYSgt8ASkBIAGGLxnAhkAIScoATgKsKANQCwRGBZQCQYwIGcEUcEDzFing4ThOzWJACWEVwhkRCUMCptEA7ooAHiFET+aMAQgvlcQaDyCiQDgByA6AIiESKMDDbhCJ+YIAQd0YH3uqgkZJIEGUaDBM97C1x/RAw0maKABD3gACxXCDwgUoHEr2JFBJoACCUTgEI2AwQoaoAEgKGIoDQgGDD4gAQAAgY+CG6V5NtEGOBagkQwZAi+G4oAIGoQMw0RABIIRjD0KwAgwEIIACAGDkyEAAYdIQguS9YAC4E6ZtumFl6JyK4boyQHL2KObDlL/gDBEQAISgIEEMiDDRJChdzCIwDnP2YgIMIIRvoIndnpxgP9YMyGPCEEnBBKMCOzTIKUjJgoESlDdDEFhtlwoAhoxCSI4RqLYgQUD4JgCFTAEDEUAgDBhkIRiHkQDCdVmMADgTQEkokGV8IRKYbA4mFqnF0woABajxJBH8FSY3GyELAkCARSg4AO4hMEVJtCBFbQMFiMFKAwE4VT8YGIJv2MIJ2wJBE8A4QMokN1AplEASX2gEymwwBKKgQnWPIIOmmgWIJgAAUK2tUWRQIEZVAoEJBXECJQ4RC0l8ABNDMQd/cyABVb5WB6BQQlKPadA3wkBGCwUBUUAoTBoUhMN/xwAhKXt0TQkYFcUoIFkBslABGpZhAgIwbNEbd5QMsDB3PJIDU2gyiaaIAhMvGka0lEeAxzAXACAoQC/4GQLwuBH52IJbgdowBhWgFxmNGCKmtxRAgD6gQ8AoRPINW+SwMAA81WoAySjwxUgtT4CDMQB2RwuCvR7JVgcr03rYgYAeqGCBeBLUC5YAAaIGUAh6JXBNdrE6oZyBQu8YQhxLYgL3ICIf6KgEx4GcY/AoAL/CgEGE1BAIDqBCYRMwhMf0CYQgCDjJGEuBQ1gAAxSsJuPFkQFXq0vEESR3yJjpx70INhBJJwSMDzCASsIgyQIEYJnhIAAY2jZQMaYiSsUAf8BDzhAE3qRWCsf5xgCCAEjIKACRBKkGCZppyi60wgAdKIIvihCEax0kAYoQdFFkAACmHCAA4zWzsUpQAoGoIAEMAETX8BFAArCi0QMZajnjAAAkhCBMpihETk9iADMudIkLKMmE3gAbjEtGksQlNOHYoA6XpCHUZ9wCGyaADeDHAGeeqIQhYjAARCyADQAoQiHCAYQxEkUA/I6MNA4wAKUoARFVFgcABCBsT2kp5pkIKuNaMRQD1EGNIxBWwcZAwU0IIQDSKAIZBjKGIr3bdEYCwiFMIMEUECGdXQBCgQ5Rgjsd5gkYDUJSWiEGYoABEpoWSCTsGNN0ICCitYEAs3/LThgjvEBGJihDM0mgwsCYOxaPAEHzuhMhYYKg54DIAkfcDUQDoGQSLRhikzwhPna+U6Vv8USbmgBoiPwAAxMwxFYd4QYANCKrT0AEpUghqoFAgNPoCDRSnDDVgfyCXqM4WbDqIcbQuAGQ/zM6ZCpRwh+8ItLBOIHVmd7HAAghgsMQwJAaMQHfgCKmxUC4Ym2QAjWThBmdEggjrg83iPjYAcAWwMXBYAT7IAFfQQjyOmMwFAWHHQEJHTXmz8PHZiQjnaQAwKwP6EnFHpOCQRDEixYRs8lUAb7MiH2BYrEPtphD9IOhA4SUDgQUBABIDRgEoKAQAOYUAZiMOBIyMdP/wDWAIAKrFtWKAgGxjHeCIWhK0fhNw/NjV0HatRBIUkQSP7zTzJDtAE1YxAG8XcdXvAHQaAH55cQkeAJGKd/lTUQEwABz+AG9TSAx+EERwAAXZCACDFXCCAPIPhPExMJ0UB5FlgbN7AHNUALDvEIEmAGzZAPzeB6P3SCtREANKAFXmAQAbAFWZADAmEK6FACAlELWuADTwYAzCZWNlgcJvACAGAHBkEDZwAAJ0BzfgAAWUBzOgAAU5CAQwADXtUxTWgbVJAMXmgQUiAQu4CFGsiFADADHAgLmpB7ZSgaAcADs4CEBREAfVADJgAAAZAKc4ADgmgDXIAFd3ggBqAHJP8QiAHgDSSwAYLICuXQDYuYIWcIAD0QABgIACRAc0EAALnAgY8QCR+XicaRA2KwC1wQADlQA7vABzQnB7swDgm4BGMwBg/ACxKmiteRAzZwAwKBBzZwCwJRDdZAjPPnAhOwAkOhCMMAjNbxDX9wAjKQgMZ2BjQXAycADkNUEwMQAnZIjaLxCuRXin04EDR3AgDwDg8mAAOAAalojpFxA1lQA1XAgwLxAjS3AzMQDmMQFQPAaPYYGQGwATxwCxcAAAq5gwEQBXyABwIBAh5gAAIxf5gAIwJAAErgDgcpGrgwilJoCu5YbBtQheaXEAGwBA+wAAzgDCEpGrFAflMgelD/GIpRwIYcaBCbAFwz+RgBIANcgIQGwAN5AIQBsAMiQANBaSAGkAXJcAdPCSGsIBBH0JNViR5UUIXqtpXiR3MAYAA08ARE2IcWiZFgWRtf0AMVsAUAUAJHcAZ7oI3msApPoJVrCRg2UIU9AAAQBwBroI2jWAN6uZd+UQI9MAM7OQIvcAY7oI1wEAfZiJhuEQCkUAo9OX9jGQVccJYFkZaW6Rax8JhasBBdGYeHOZpsUQVVqAsLEZiDyZqQEQDZMAcjcJgGEAM6QIm0KZSj4AojwINaYAWGaAC5cAan8JuPoQ1VOAcGIQvkBwf/wA4CcQZUw5xvQQREoArAsAujwJ3i/0kE2OAHZ7ANAHANArEG48md2skWAaAKsmBsYikQWCAFxGgAtqALFDl/q/meWTECbkmVXzAFFbCPfRgDFVCZAOoWawgAVgAAfcmJBmECGbiBDeoWPpALIrCGI0ACIsCCBeEFViACDJqhbGECVUCf9UkQ/omibWECQXAGTwCjtXEHVRihNoqHgtgHe8CHOwoYAYAKcDCcQSoatlCFO3CkokEDj9kHTIqQpMAN/9miURoY58CbW/CfV/oV6AiKXNqlWFEHf6ADPBCmYgoTg4gKVWqlaZoUcAkAfPCmfjELAuGOdOoWJRAHq6CIefqngBqoghoSF4AEgyoWOAAMynmoYEqxpOXHqF+RkmegB5D6FYWKppWaqZq6qZzaqZ76lPlngW56JUQWf18QA2Lgm596FKVQha5gJ6EafjgwAxUQmKt6FJypJGbgCeYREAAh+QQFCgAAACwAAA4AIAGWAIcAAADm5uZ5oPjo6OhQhv709PR7ovr7+/t4n/lwmvmAp/9bjP38/Pz///92nvl8o/vb5NxYi/5ynPlym/lxm/pumfpolftZjP10nflplvvz8/RoxXRHvVaMz5VyyHxOv13Z4ttvmfnv7+8ntjpxmvl+pf15oftrl/ptmPlgkPx4oPlvmvpikfxRhv6Pz5dSxGK827+02bmR0JmCzIt3yYLU4dY/vE90yH+r1rFfw2yk1Kpvx3u32bxMvly+28GIzZHR4NM0uEVtxnmf06bi5OLC3MXg5ODd491smPvh5OJynPwrtj1znPpbjf1jkvxlk/ttmPtsl/lWiv5Vif2CpvaGqPZnlPpvmvxsl/ptmf1mlPz39/dznfpznftwmflumPmD0I1axGie1qWo1q1zy37X49iu2LON0pZ9y4e54r5NwlxEvFRIwFdWxmXL386/3MKq1bDg4+DN39Bcw2qi1Kia0qGW0Z6X0Z83uUjA28OW0J6l1atZwWfe5OCh06jd49652b3P39Gx2LaFzY7A3MR6yoVTwGHG3chrynfO7NJRh/5/pv53oP95n/h/pPerwPBdjv2Qr/V0nv7Azuyct/Nfj/2VsvTV2+hcjv+4ye0htDR7ovt8ofdrlvrJ1OtxnP6lvfFYiv4jtDZkk/2IqvaMrfWovvBbi/1TiP7E0OuYtPK0xu4ntTlpl/2gvfx1n/28y+3o7Ona7N07vUxhxm5exmuK0pQyuEPW6tnQ39K12brV6dc7uUze7eDg7eFVwGKf06VLvlpRv189uk3E3cfj5uTH6sxEvlO958Jfu4DT8NfG1d7g6uFUobdrzXiu47Wq0rqX2aBtuJ5pxXa40NeU1Zt9z4jA4MTJ4sxMwFtkw3DM3NV/04pKwlnP7NNyzX5CvFKhuvIcsjDZ3el3nvh2nfjB0fRrmvNXl959pP56o/+/0v2yxPCvwvDl6O9BmLF5ov/M2/3g4+yApfp9pPyxx/drmPeEqv64y/XW4v2Rs/7I1fLd5/+pwfbY3OhyzX4I/wABCBxIsKDBgwgTKlzIsKHDhxAjrnNVL1/EixgzatzIsaPHjyBDNjSBYgWUJ5lEqlzJsqXLlzA1RtIioKaDEzFz6tzJs6dPABQ21axZ4dHPo0iTKl0KIMGDoQKwmGJKtarVqxlJKYHqJBXWr2DDXvWUBYmKm1XEql3LFiS/hJ4GlmLCCVTbu3jzKqSUgNEVCQVBUZiQYILew4gPW2IhQIGBJ2kFmqqEoGaGB4kzaw5robJjAV7iAgjhAOonWJtTq056SULNz1BUUQKFAqqALO1W696tM4GKxgYQTLEQohOqFVCzoObNvLlISimASyFQWcCTFhhqnlDivLt3jqUs+P9dUL1mihSDqXxfzx7iuHz7vNhG8chr+/v4F3LKPtRJ/v8AFjTJEwkI4EAG4QSoYIBUUNDIVAtG6F04E8ADhQMSZvgddCo4xkJkGoa4Wwa/fUaBiCjq5c4qoKxC0CVMvGaAABWklOKNarmjxBdfdALFJQOt0AhwUdmH45FYKYHEUF8IMBB0wGWQAJJUXkXBjENJIBoAVVjBCBPqVSnmUp5wgWVNCUxSkEVjtqlUFyYMhYAFbtZZFTssZOdACnbZ6adS+CBAAgK5aeSJP38mClI4JEhwQpgNmYOBBCsYRhAsDjAiSQLjKOqpQqqkMKQAKUTS0CSjkFOTBRgM5IkTGJT/8AAWSHxqq0EW/DYUCVsmhMArUH1hYxUUCCCrAFAYdaun7mTyCCjyQbVCQ05BhQKEEqiQQBZZSOCFKssq6o4KX2BhwRT81YRFrwhhEOdQnbgIABWQhBJBBFOw0Ge4fio5FCSoVGcBCQ09osWoXuAkUCkAnIJJExEoYiO/dipBzwMYb3KBFkp0QcpDrljQsQkEzdPKFBdc0AQS/VBsJz+MLCKzzIysE89bBrlyjz7x5MyIAusQBE866kgiSTqvuOJyneMw8a4AKtB50CUWoFDOBCwoC4A8V0RRDhOVgLtwk8daIe/SbbbDQmkOVAKhQRNEK0AjK4hWRRZQQWGkBRXI/yol2kgCaVA9K0TBhNYFuVNg3uxc4k+1QyGh9SWOGG0q4DeqUhiCBZmSQAIZUIKQ4rY5kYEEKFwg1FBRIC6QBpjf6AgLQyJQidaWOFGZCpCIbRAVS9aEwhQk1BTBBdUh8AS7seNoAVSCDtTK0wIkIHhBlyBxggQVEPC8TVKkELcWrjd/4ySLD2VpKkycKQAFRmIfCQKOWGFbFpw4QMXZrq5jzvXmi5An0qcdIF2iC+6LQkKqkAAkRGEKE4BKE6wQhQpkoFfhSMAnPmGB5QQwQlTIQH84MZCZDMUKljJIFRhjnhaURgCVCMULMYACwT2iEsZ6gAOswLwP/icBUKhAAv8+RhAunKACK4CUQSowKgEgoAkpCAEFLgCsoayAHQJxRHaOVYF9+dA7kygFFXxHkFTAoodUmAAV4kcQeUxAAk6AYgWswAkJcEILTzmhBSrhhEqo6ljf+uJ3MsGCCWCgExl4iBZCgIEQPEFNB5HAFEJxgVAQgABPwMAEUDGKoTgAFQS4wBRaMIUcCsAC/BMkc7RQnhU4oiFZeKEAroYQC4RyARdQBABcI4AVhAILUFMEKi6wgAWEAgAp8FsIVNmdTDQJKhNwx0I8gcBGloYCzHMHCVI3hQjYC5g1aUUGKECBbhazmKhowiskwTBmOseZtkmANBfSBUgQYAoAWMAEskn/ghNc4F4E+OVQroBFAKDsnAtAxSvd6Z1LhKA8SGgVQ44JSgIYFCESuOUpAECACDqxFQMJAQEQOoW3MfSdTlgBE1CgMIaM8qIAQAUbBRIFKdwrAqgIBQu89QR8DOQSU7inFKQAopN2ZxKWIEU4AJiQdhwPlKiIgBRMOpAJOIAFC2jCF5BAClJYwiueWMVyqPCEKIjOqCiaxBSagFCJHYQCKcCXVE/gQUpQoAIVaClacaSFFpyzBVJASBRGWsxJCo4STlDfj/Z6pHuhInydOkgULhDV41UAklygXgVSyVgRmcISfVJFFSIRPwkgIAFYqIADUCAvCpjACpBIARSu1Vkq/1GtAhJwJCQB4ABZnnIgjpiCTSNAAEh4sLY3qkDxbEIwgawiT1B7AgIGIoCALuAUqJApcnF0iWJBhQS7XYUDJEACMlJACTdlQSfKt10NxQgqWqiAX7xYkAl8AmKhgETr2nsjBHhUAJ2YggQUYAJIXM4gjiDAKa6LCkXMlL8ZsgAWckuAKBDpRAdRgRS6iVMW7BbCztlHzxiSikxAkhNWIEFnKPCJKyAgBMcdCAk2wYIINCEDKFCFiUHcHE50QRIZwFBCSEGCvFaABcJtQXGPd68ofHggXBiFN6XahCd8IQQn6CGPExMCLBhAAQJwgiUCEACDcIEmThTIgjcKgAs8rP+bTBUIJ1Dx16bURAIZiPOWD5OK2nwZTdAwxCFedAUsNTcCuLRoZRdw2UgCrJsx7cRQ6LPnzcBCiE4YhRYwQIFkAIAGZTRTTWoFSiUbVAqYgMQKanQQp1DgBFAIhRS+J4AQJKjSmrFCVDExVCts4wdHKAic7mxRjg5kCgvAVwoQ4ogu/AsVtbHMxHB9GH8QdwGYuAABOlEQMgcAFJX4DTkEElQCKEIRbm6CcPWMqhc6gQD8ycAyqZ0Yc8DVzRc4ARMKcoYgiEEDrsjAFZDAgiZc8pKKQFkERkEBcxxEBPHIAheYEAlzXIELXGgnvRFjDiUYYBPqMIEBukAQEdhiBGf/AEAkpBrV4CiBCRew6T9boQSHP2SeG0dMdxHwZwrMeyABIEQA5gEARF8AAE2oCQKk0IJQPCyUes55c557DnTYwwJ69oQi2FpMnFqhkUFFtbafIPX7TOIdAGhGQtghhSZsGGWoIIcjqnC6PqYAidMuu3fIwIo9JAQW+ETI4j5TgQfrnTkiaMAAFtICXeqyBYhS+fMcY5LDNycAY+BDDRwyCV0SBBUT62eLJRB1y2smAIYAQAcc4tRcXlKUJp2E/0zvnEMMwggPabsoiXlM2u/G2wcBPgASv3gACH8gJFvzFMju+9UEYAO8IIRBAmADcaweAGCYhRkEMgg86MAgVwiF/3Al2nzVBGAOS4jB9PEAAA8IhAwjqINACiGK62MPAKUvP2IgUIQyGwQEwOB/saAMxZcEPuB/+ocfgUAH/lcDQ+B/zPAMxZCACjIAHwAAQ2B8vwAAdyAQYQAALnAQnvBkFMgcA/ADH+AGxicDPUAMAiEGL/AGKkQBoCNkJXh5CEhmA0F89fUEQzEKlnCDJjgGOQACBxEMAKAHAgEDc0ANwVMTBsAE+SeEhzEAPQAAdpAQ4iAQOQAA0uBdNWEAXKBlVIgYAwADM4B7BuEB4gAIAuEGNLAMBGQArTCFZbgWOigQwnd8B2EJ0TE3TnBWd4gYASAENlAEADAANzAMMGB8HP8gDjKgEAFAdxKQALc2iITIB6IgCImYA6LgdwEQBAAgBJjIHiDwBv4HAQcoEDVQB0RQivmRB2jwirAIIAPACgBwA7Voix8gCnCwiwDCh8DoHAGgAxsQbAMwA0EABAdxDc5QBsNofhyAgYkoCgCgDQfxgTMQjakRAGaABrg3AC6wBtBoENjADRDAjXdRAAfQEMKojnoRAIigBoGwEAOwBuLgB/CYGQGgBkvgA/a4BLm4j5nRC96AgAkhB3pAiwR5GLhgDAg5EEAgCP6nCxsQBw15GAzQDSOQCAbBAC+gCcgAAAywhbXAABl5Fxqwkt/QBr6wkjC5ktaQDbsAAAVwCwD/UA0xuZIpuRbsiBB5aHxB2ZPxqAMegHsBgAM78AcHwQPTkI5E2RYBAA4AgAOOCAD62G3CoHpRKZV0UAhJYHxwQAN9MH2AsANQ2ZV4GJFqeXo7wAFy0Jbm9wGaoH5ymRq5wANseZdtIQuJsJd8iRcBwAYjkAeByY+I8ALMeJiJ8ZOM+R084AFM+Zh6YYVYSJmViQNCkJaYuRSO2Zl3QX0jgIigKZWawIGlKZVpEA2AmZqu+ZqwGZuyeXlg0AZlOZtYEQBbGIK4eRUBQAvHYIS9OZzEWZzGeZzIKZeokJzMKSIXYHkBEAM/EJZV0gSWtwVsAABp0JxHEQAycIzc2V7+BwEANscbAQEAIfkEBQoAAAAsAAAOACABlgCHAAAAapf65ubmUIb+a5j7UIb/b5z/YpL7Z5X6aZf7YZH8ZJP8VIn+bpv+bZr9ZpT6aJb69PT0apb6+/v7Y5P8aZb7ZZT7XpD9Y5L7/Pz8aJX68/PzZpX8Xo/8YJH8bJn8YpH7ZpX6////p9WtuNq9xd3I2+Lc4OTgiM2RWo3+Z5b8Uof+ZZP7UYb+U4j+e6L3V4v+XI784+bkapf7ZpT7ZJT+k9qcUr9hzODPjdSWwtzF0ODS1+HZntOmdMh/OblJWYz9aZf8X5D7W438dJ35obrxaJf9Z5X74uTjU4n+bJj6d5/46OjrVor9a5j9a5n/g6f2u8vtpLzxeKD42t7obZr/iqz1ZJT8lrP09/f3aZj+XY/9l9aeUcJfYMRtV8JlZcVyPrxOo9SooN2oXMJp2+nezObPzuTR2uTbmtKhltGd1+nZRLxTx9/KNLhF2ePavtvCzt/RZ8t0tdi63ePeyt7Mv9vDQb9SvNrA0+DU3uTfast2kdCZzN7P1eXXi86UfsuIX5H9XY/8W478Z5T6nrjy7u7ub5r6YZL8bJn/a5n9ssXufaP3uMnuMrhD3+HnrMHvZJX+YZL9YJD8Z5b+iKr2bpn6K7Y9x9LqLrdAyNPrz9fpc5z5r8PvWIz93ODozdbqk7Hzj670f6X3eqL8KLY63uTwws/rjq30m7byXI7+hKj3Y5P9vszt4uPmbct45uvnR71WPblN6u3q4ObitOC6tuG7ste24uXjodOnb8Z5bsZ6sNe1XMdpW8dppMXU1OPZf8qJX57Xx+XL093hgNGLSMBXdqfhncq7wurHcc99g8uMu96/xODIrte0z+7TotipeMmDmtyjrdayjtiYYchtrtu0v+bEyurPlrb81dvptMbumrf4cJv5ts3+vs70dJ/9har8I7Q1b5z8VYr/xNX9ZJL7nLr7WYv9j7D51+P/6evvt8v3tcjwqL/x5Oflka/zytbxYJH+2eDxy9Tq3uf7rcT2kLH+Q5DMpb/65Oz+zdbsz97/8PT97+/vcc99CP8AAQgcSLCgwYMIEypcyLChw4cQI37jli+ixYsYM2rcyLGjx48gHTrBcOBAjEUhU6pcybKly5cZV6kKQLOCAnowc+rcybOnzyOKaNI8IMWn0aNIkyo9yMKB0AAeCi2dSrWq1Y6Majwd0uqq169gw+4LpEACggMvwqpdyzYlFXXaEJ4CBaAeFAiHpLbdy7dvw1AqEi2wULAQAggWFvhdzLixQCtAAhggICitwCIwEtC8MM6x589gP13QPDkAglMCMWh4Sqkd6Newk26CQLM0BVFYClF4GoCVu9jAg+f8REOCZAIVAFw44MHFgqestgmfTj1lqBTHBwDQHGAIAEI0hdT/qE6+/EYoFxJxaEJbKBBPGiAsMU+/PsS4mkLwBiHllCb7AAa40CEPPJXCfwImqOBArQzynAYKpLLghABSUc88AGAyBQ2WFEHhh+ZhcUQVVyQA4onmhZLZZIMw4gqKMAp3gXGlnRbjjX6Z0kkhkFAx0CbclbYASjgWyRYHCyjggQIDUVHccQGA0JWRVH51hQJCKdDNQKFENlkHilUpZlWgqEDAUxAgCMALgjxhxBKfjCnnUqfMcKZQGqD2Iz9z9qkUFUHcGUACHcTl56FTuQMEAqbBICGikCblTzuWWKDEbwDQYyhEoGxaUD2mvBjpqA9hEYJNUzzETgAaWEAYQe0o/1FFEGGSamtCkHEHBBQNRZHCagF0IEGcGaaAQAMOLOnjrcw2KexTCOzDkCVaPDWkQC88h2wARDXL7CJSGMbbA1EwdIRTWeoFgQQUyCOJBRiI4q2tHyzggRAAMCoUBWompIQTT4HQiUBENLFCAQcPode8kF5xgVBNuFABTTEsIABDUsxIEwYeDLTKAAyErJ10DCM6DyUOfKDyBy5cYEQQpKzjUDZbcBDEOKYMBI4qDLjgAgOInFMyouo0YPTRiXgDgDoG6ZMNKeGUU5A+9zwBjtIDVVGFFpFEkgglQg99aBAzCCWBIJ4S1IECEDzgiYcCfSLJAW3DIK9AUBwQwLYdQP8i9qFSeEKbBjDAbRAHGAiVQAh0ATCFJE9RoCc9HRyA7AUU/E0lFaAQS5A9LGCAQFEHmaLvvp1sAgAN6NKkgOEAEGGEEZV4rnmMqLBQwQWPDsSNBYRcgAVCpvM2CNvmMACwUN3eLicRKRhXQeED5RqABDCggtAUWNLkwQDm0OTzxIMOgYnzY+7zsOII+KjNBWUL9YDqBynQAQsgACAEni0MEXoMpENflaJQoKdU4D+YSICgWDWlg1TiEEvY31MkwQlLTGFgBcGEN9hBPwGCSBOnG4pAyrRAfiHkBTRQAAhaUECawGBtGLjA+QaCBRrUoAaCKJcHQbSE9XVnSwJZxRb/hHK/E0aGJkDIF02aMID2POAAhpICDPbmAAQIYocg+gQFMLAADoxCVABYBwcOsIAQzOcgTKCAcYTCAHQsQAMMMELk/BY7/WzrAAvDYnkaAYUlwCNtADjFNvREkHi8QAOpIl7bhtAEdIDAA5yoACcu0LoACEEBQOgAECa2rXjp0TzbAMICEDCJCzRuIfHYAgZCcIBB6LAg66jAAFawgiQIJAYIYIELhkiTBGinBQJZARWDRcdPUgcUMeAOt4jQEETQQCgQaN9BOgCAFTAgCSsYgAVoQoEBeOB6AChAyBiwAgAAAVmTwMAjjFmdRTwHTTlbSKA0QAH9QICQAzHFEQ7g/4JwIqx7AQiEEEJwhFqOs2cM0IIRoLAsdk7HnbwJQTwTgokgwMCfTbBRQfR5gWsWAAAr+CZNatAjgYBsnC5YQj8cWh5QWIB8AcBSQxgQToI0lCBKAEASeqadbQ5qCzN8AAAOOgDYsZQ6i0gBBZ7ogZsiRBPaKYBUB9BPg6zjewjz2QCG8AAMDMIeP9IOAFowAEYclT6nsMIoUgHIg0Cilv10wQqaYFQAzEMDhECHC5oAAgWMghFW6AomINEIKlCBETGwQCjOiqNyHZScJCMIEywAg35KFQSNGEg6nriASZySsUXawlBDBgCxGuQAo2VAC1ZAPyxghyYPyB9ojWSKAf9Q1QVAcKpA1kEBn9HSOZkFgAqCsq9izvZG6ygCKjwEClG8wAozBEDx7EU3CmCQBlqIAQw8cYDXHVdMoFhbbAcRXAAoAVg06YCeiMAAhJWzCeX9bpEO4FNWvQoAnVhU+XIqkEPotGc+w6d8YzQb3iAgCv2Q2SKUEE3tDYQDkSgANofg3QHjCBQwTe8CqkABCbkCkEdgxTX3yh8LFykALezAADgwmSZUAiHz2alvG2hiGGmiAx4IQf6wVJo0HcQSLXCvC8hbY/N8oxzRRcg6WrGIrtCDCB7QgAcSsIAaUKACC3DN4ZyQgr1eQAHwWERhizydbqiAEpNITkJI8QAKHAD/AzEYq0BgUMuDUYDGA6lACg52sCaAiQWT6BeZQXMAIRDAAN2xAkI4wMsAaCdkVU0CORgwy7Zy4qQ0BQALYBuIDg7aM614zqFhS4w0nIAgoFjAnRZg25+VE6S0ZAAL8CwQFVQWpAVwgQS5FcBPO2YbFqBAClKASwgg4xIlIAgm7OQ6hA1Eqk1gAAzoS6SCsI4Cl3TBAGIgFBAMz9ee0URzxFmAAQjiESW4WJNUEL8QCOSjHw1ne7cqaIFwQo5LdIHeNoNBcDdGG3ElRz8xgBBuwMA4EIgqQVww6QE0oa1RUAV4AjAIABQwEAT3t2O+wQEYiNMFgUgAhgbiBy/4YQPZ/7gABxCRgiYQhM8uSMERvoGQciBiBhVYBQAQoQIVjELjnuH4BxTxBJUFYeQCMcMX1gCAcLgAmOj4QBCucAVKWzMJgeAAzRNiiol2Heie0cYDFIjoLYJRIBebgm0pPdReakfS/Xw42O0DiRRY4AkH6ICnB0IXom4bARiIKjkB0IEkz708URAGPo6BE7dGW8ISBsAhiPACBXAgBdul9uHtc4Zq0CIh5TLtWAdGBf1AiQWv3Hx5DLEQYpXz1QOBQgeO013bqR44JhgBEhySeoG4ILL2qgEHIHD76qjBEThwyFttqZ1yGs4VUdigbov/GgHIIN0OwYQ1ybnTAdCa+vVh/f+ABiBjc4M/OLfwgboLkosf9EEgZ/gHGgSCAzDw4HDN5+/5Y9MDL6yfIMtwCe8HAMzgC28gEHhwA3lwEJsQBXu3f6AhAP9HEBI4EIYgAgNRgRCYIBoIAB14gUywgRSiBrGgbj3ABnEgENZwB8lXEK6ACY1QbyIoHHXwB+oWByiACwJRBjYgAwbBCAjwRCogMzNIHv+nbuJXEBbAbTShCi9WhNNhArwwgQLRDHcADAJxAiOACftGEwSgAg8IhaCBAm5AhQCQCQCwCwIxAuLwCyFEADMgYGIIGkiAfQZRBq+wewAgA3awCUfwFARwAXMIG2bYEJXgCTQhASmQDoP4GXP/EA3qhgfqt4aysAMKIQCVhxjf1oiOkQZkoG5i8AXqFgylUAcMoQ0yyIl+0YGs2IGqaB8SWIivWB9gIA6yOIvmMQ03cIu42IvFxwMkoG47wAdmCAvJ8A6+GBuA8APqdgMeeBDQUAptkIywcQI6oG4m0ANmOAvPEILU+I0DVgs2wIsAIAZsQI7guBY5sAfkqAulgI7pGBYRMAENEYvx6BjziBCtCI/36BXUIAcZcBBj0AsBCQBdAAAF2Y97sQEMeQ3SwJAQCZHDkAMbIBBc4AgRCZEKGYEbGRs8cI0C8QZ2YIZ0QAI+2JF84QNhoG7LaIZ8cAnTiJJ7YQJwoG56UJMHnnECwSiTPMlOJIAC/NiTbPEHnyiUhBiURnkV+ZiUoLGOSMmUXmEL4wiVVFlkTEAHIFmVjEGGT6mVU6EHc9CVXjmWMcIF7EiWfdEFmSCWaGkUS9mWcBmXcjmXdAkga4ANbFmXLxEGtqiXX2EGY5CXfjmYhFmYhnmYiDmLE5WYjPkhSXR7aLADgtmYG1EMxpAFlHkUeeAMk5mZYiMJ5REQACH5BAUKAAAALAAADgAgAZYAhwAAAF2O/Obm5u7u7lCG/+jo6F6P/V+Q/v///1yN/GCR/1iL/ZLQmlqM/V2N/PT09Pv7+1uN/N3j3u/v71yO/VCG/u3t7WCQ/FqM/Nji2VeK/VuN/VuM/FmM/VmL/lmL/F2O/V6P/FaK/V+Q/NDg0dni29Hg09bh19zj3dTh1pPQm9Tg1ZTQnODk4FWJ/16P/lmM/GKR+1GG/laK/l+P/FiL/mGR/F2P/5y28mCR/l2O/nuj+nKb+WKR/GST/FeL/WKS/M3W6+vw6+rw6trj26nWr6nWrnjJgvD18X3KhrPduNPw14TUj2DDbKXVq+3x7s3f0LLXt93u36TdrN7x4LviwL7mw67itFTFY+Hk4sHcxcXdyNfi2Ob06J/SpHjPhN/k4KjVruHy45bQnb3fwb3mwqzctNrv3GjFdbnnwL7bwdnr26TUqqDfqMney97z4rnhvu327pnSoeHz5Nvs3azWsaPgq+Lt5Ov37ePy5dvr3MfdycDbw7vnwXLHfebu5lqL/GuX+miV+2OS+1qN/VuN/sLP7LrK7W+a+WSU/4ao9YGl9mGR/oip9qe98GyY+1aJ/Z+58XGa+bPF7l6O/FqM/nWd+WCQ+6rA8FGH/n2j+JOx81iM/nqh+GCP/GCQ/ViK/WmW+nOc+q3B73ef+IOm91qN/ya0OL3M7bDD716O/Y6u9FWT5VyP/WKS/pez82OT/rjK82aV/Jm08mWU+1WJ/VOI/q7C716Q/7XH7qi+8JWy84yt9YWo9oqs9W2a/o6u+1mK/W2Z+tTa6Ka88MfS63yk/Zy38lSJ/l6Q/pKx93Ca+1iK/Nrf51aJ/7DE8Xae+a7G/bDI/565+bjJ76a/95q18lyM/b3R/9DY6qO887jI7ePk5pCv9FmM/4+w/oWp+4er/ouv/tLg/5Cx+8zb/Huh95i1+I2u+ISn9r3O867F+LbL+rLI+LHG9MPV/tbf8sDS+c/e/9nk/9zi8vPz8+Dl8Pz8/Ofp7urr7uvx/+Ln8uzt7/f39+fu/nLHfQj/AAEIHEiwoMGDCBMqXMiwocOHECOyIzetXMSLGDNq3Mixo8ePIEM2zEEBRgcXo0SqXMmypcuXMDV2mhGgJoUGMXPq3Mmzp08AI17UrNkg0s+jSJMqXQogwIGhARbMYkq1qtWrGS0VguoMq9evYLEWq7HAQYQNosKqXcsW5Dh4B5sBCAJgn7kLsl613cu3r0JfFxKB2FBw14UYNHD6XczYb6lMARQYEMFjIA4CCWr+kNW4s+evzTRklhzgwiGBDTIPzfHss+vXSmPUJO2gUbdXIaAG8GAUtu/fMZuFcBDZQAAAgD40sNUBaqtUwKNLV8nLRXGBqmsBuFYTVKXp4MNz/yT1I9EnABSg2spko4cw8fDjR5SnzpNuDJFOy9/Pf6EgDFC5YEh/BBZI0DYufBDATZsY6CB/8whUjCSU+IDDgxiK140ngo2Q4YfiNVIBBZLNkBaIKAKnAXGkXTJgijDyZQ8mmzhS0CCzGRfALTH2uNY+rUSFwQIDCceicRT4qCRYhCww1AKCDOSLdZKJoNiSWFIVxCc61hTDiwBI8oMrjCCS5ZlU9dBlaagQlE05dKEpZ1KMgACVCHPmWZU2BEQQQAIENKjnoEkN8AwtIfigDQByDXNRMY4iRA+hlEa0ygiDNPDIQ+v00EMIVwo0iQ+JMBJqpageVIoMQ2WiSUPUIP+jmgYXDGSICxwccMACC8iV6q8ErQjVBcUw5MMNuqUEAA+AOPVUBL0Bi+ooOMxyiW405MLQCE89qRcAFzjQQA01bACDItKi2kNUHgCg2lBgJgQEskM1YCMAgWRCkAjfpjvoBj8MJYItAjcgAEPH1EBcADD0KtCrBUHnr57w5HCAARgbAAAnObhyYkPAzPCJK7JMKtAjIhAwkAfnTKznPInoKjMs0rwzzkHi/GIMNgX5Ew4sv0RDECwv6GBKITcU8o3LetY5lAMiRFpQNhoskAAGBFw4UCWcJMABAeg+rKCuu+nCdJ7T9PknAVMdFECzQxEr0DI16KYfABrAcEAyC5z/ejaMcRZUTXojaH3QBbolcC8l3da0gDUDZRNIDjks8rePioQwiAaCDqRMKzFwsgpC9iAOlQYbxOBALTpAVdTlaAbiDHGAGv5YZg5UELZBiGgwFDMAEFKTLU3VlICAsJ/p5FAJeAjAMDOoAtUI2SDEKwYfABCwTQCIgAEgGhyTfJbU0KBbDBICseYlCi0iCA8c6FbDI4JIYnZBhkTTzvgoGmKDbhEYCCPWdByE8IAGCwgggIYCgA54IAIaKMilKgECEWiLfxkSxvYCUAtaDGQHdauJBvwmEB5YpyYyAICfAhDB9AQAA4SIUyQI4KwEiCBeGDRQAxxAAU+QgiD52AAI/yhgAzMdBB8BWFhNamELSlygFlsZSgTuFYrMkK0Du8hhfCbRCUQ0QmoDQYXEDMKDQUiiTQixQQS0QwAPAOIRgwjEAhoXAEjEAAY4seJTYNAILYonFZnAQAQWEEGHzOADCYCBC7ZxkHygryAiiAAGbEGTmnBgIBWQAWTItgBi+DE8zoAKDALRkBq48E/OM8gPCKKvDdSEEwBQkAMOUgtdLaADnwTPKN5VExvYYyGGUB8FAJGeGKCxIBfwgC1UJpDlBQAUHqABDfRFEFvUghE56ISvchmdUeimNL9USDGAwEyBGNMgpSvkQJy5AU8CABIFsYURuRme4TyJBhiBxDYJ4v+DgRAPAK6syQyKBQBPGMRw9JzOKBLEgQ4sAIwKSaE/jzmQfMDSn+/kAAxmUA2DVEAgP0yoeFCRDktsAqIIuRfxiCcC8RWEHjb42jI/gAFSWGIR1ACAIRyRCkdBQwMh4IVI0cSjguAjBClkZgImMRBwXCACIdAAQYfqI1w2pIADoSYAqiNFQlSPqkta6T4rGgFb/NMWFGBqQYUiRXeCtUc4UATkitEIHixiqvRYVwMW4AEKcAATAhmBDiBBAALwqm1vVVIQROABDnzABWoFgA/iNxQPvCgUHyVIZBPbIw8s8E8hGIguMLMgEdhgIFESiFltgUPOpkg2UGGfPvABAEz/DMIGF9gdACjxHYEQIBgIde1rdfMBAyRiA1l8nkFGYArtAKCNwRUuiAaxwgAArwEKAAEALHeQeZoVAIyULowMIYIEZs8DxQmAiw7ST4xuVrzSUQc2KNrI2qIxEAmIQWYa4I3mOKA1y30BMmwhgqr5AhOTQCl8P9MMQVwAF4QIbUJEcYEEUMChBJGoQChBX4HYwAUFaU4IfjDVBbvGoQZQQAAgUQqEbKCSWAXAP587EAVvqiALHJKJYZObFNdkBM0QwMEI0godkVAgmagFDToMlAosU18VgMRQOBCtHTcmFQFogAsI4IL8BoEBQ5aQmhyHEGcQQEFFLUgIDoABaArE/3c1+cDorNwZQyRgxt0DQJgFMoxPSC8AATwIMyHRWgCEonU1kXEw6gVYOjdmGCslAPFiTBBlEIB2CGGmDBScCxescAYAoOwtHd2ZWORAZSDWABAAYIFWt5oMFgBAyC6wgVpk1iAu+EQsEBIPDwDhAp2IRQeAYANokLrUGHvBDUBgAFcUZAJKmAAAjOFPA4CgAYQBADU1YIBdJwQe4eQHXI7dmSDQIAE+xoBVDbKMgtSCgTIoLEsDR27xOIIAhMAFKPCUkFsLJJIwMMiR6y2dXOyAFb1IiC5SNhCVheIRlkjABpBR2OakmeDiGcAbCpCQSWh4II02HWkocUGMY2isAP/Y9MN8J5kPOMzk0RHyniNiizRj2xQGqBXMpVMCMDvkXgC4dXCl4Y6dg2fm4qSmVo2upNTKGABEYrpvwKAFhEjAC0MewBI4rmc1IH3V2vag1H2TgTogZAVJyHoauC4AIyBdIHcbu9zn3hGu071ARBjDQFDAgqzbwe4EGVCh7+4bAZxgIIYfyADwAHiBWOICI2gACPJB+A81QMo1mQHEKv8bISNkAAhg+8F4mXPOA4cLKvj8KdjOgENcaygG6IHpO/92AIDe7gIwN1QMUIPZO2gRFaiJA2zRR983pgV7GEgWtjAQCRSh9gIRgCQ6MIgQoMP4nclAGPbuhIGs4AjQLwj/yrFP/vKb/zMmQMP5CyQBPqz//XT3fPRrD3r4vyYFLBiIG5rw+TY03v6LIX96Rn+hB4AG+FZDkAcNIQFRcICdsQZW0BAk4AcOWIEWeIExMQd9gBBxcAUDQQVYgIF9gQRdgBBPoAcDcQdmIIIs+FYCKIAFAYMtGBZQIAcDkQKpdxA9F34zSBUvWHsy2INCeDktYAJD6BokwAZHuIRMyIR0UAZN2BhCIAZRWIWcVQBBaIVrkQEMoIV9kYVeGIZY8gdnIIZtUQVMYIZquIZs2IZu+Ib88wAQAIdYAQdfQIdXIYd4uId82Id++IeAGIiCOIhIMXCOBoaE+BJSMAWJ2BOICNiIn+Rs4BEQACH5BAVGAAAALAAADgAgAZYAhwAAAFCG/+bm5lCG/vv7+/////T09Pz8/PPz81GG/leK/ff39/39/ViL/VqM/VmM/VKH/luN/FuN/VOI/laK/VWJ/1WJ/VSI/u/v7+3t7f7+/maU+5Wy816P/LbH7liL/qC58WeV+2WT+2mW+lqM/FmL/b7M7XOc+X6j9mKR/FaJ/Yep9WuX+laK/oGl9pez82aV/3qg91yO/YKo/Hef+FCH/qvA8GCQ/LXG78rU63Gb+szV667C72OS+3yi+cTQ622Y+pCu9F2O/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width="100%" /></p> <blockquote> <p>❗ <code>enter</code> and <code>exit</code> functions are used to modify the aesthetics of appearing and disappearing data so that their entrance or exit may be animated.</p> </blockquote> <p><em>gganimate</em> comes with a range of different functions, and using the <code>enter_manual()</code> and <code>exit_manual()</code> functions you can create your own. Enter and exit functions are composable though, so you can often come pretty far by combining preexisting ones</p> <div class="sourceCode" id="cb11"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb11-1"><a href="#cb11-1" aria-hidden="true" tabindex="-1"></a>anim <span class="sc">+</span> </span> <span id="cb11-2"><a href="#cb11-2" aria-hidden="true" tabindex="-1"></a> <span class="fu">enter_fade</span>() <span class="sc">+</span> <span class="fu">enter_drift</span>(<span class="at">x_mod =</span> <span class="sc">-</span><span class="dv">1</span>) <span class="sc">+</span> </span> <span id="cb11-3"><a href="#cb11-3" aria-hidden="true" tabindex="-1"></a> <span class="fu">exit_shrink</span>() <span class="sc">+</span> <span class="fu">exit_drift</span>(<span class="at">x_mod =</span> <span class="dv">5</span>)</span></code></pre></div> <p><img src="data:image/gif;base64,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width="100%" /></p> </div> <div id="rendering" class="section level2"> <h2>Rendering</h2> <p>In the examples above the animations has simply appeared when we printed the animation object, just like we would expect from <em>ggplot2</em>. As a lot of things are happening automatically, and you might want to take control, this section will give a brief overview of the rendering.</p> <p><em>gganimate</em>’s model for an animation is dimensionless in the same way as <em>ggplot2</em> describe plots independent of the final width and height of the plot. This means that the final number of frames and its frame-rate are only ever given when you ask <em>gganimate</em> to render the animation. When you print an animation object the <code>animate()</code> function is called on the animation with default arguments, some of which are:</p> <ul> <li><strong>nframes</strong> sets the number of frames (defaults to <code>100</code>)</li> <li><strong>fps</strong> sets the number of frames (defaults to <code>10</code>)</li> <li><strong>dev</strong> sets the device used to render each frame (defaults to <code>'png'</code>)</li> <li><strong>renderer</strong> sets the function used to combine each frame into an animate (defaults to <code>gifski_renderer()</code>)</li> </ul> <p>There are other arguments as well (e.g. <code>...</code> will be passed on to the device so you can set width, height, dpi, etc), but these are the most important. If you don’t like the defaults you can either call <code>animate()</code> directly with values of your choosing, or modify the defaults by setting new with <code>options(gganimate.<argument> = <value>)</code>.</p> <p>A topic that requires some additional words are the renderers. The default will use <a href="https://github.com/r-rust/gifski">gifski</a> to combine the frames into a gif. gifs are great because they are virtually supported everywhere, and gifski is both a very fast, and very high quality converter. Still, you may have reasons to want a different output. <em>gganimate</em> is quite agnostic to how you want to combine the frames and, while it comes with a set of predefined renderers, any function that takes a vector of paths to image files along with a frame-rate, will do. The return value of your renderer is what is ultimately returned by the <code>animate()</code> function.</p> <p>Below are a couple of examples of different <code>animate()</code> calls:</p> <div class="sourceCode" id="cb12"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb12-1"><a href="#cb12-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Video output</span></span> <span id="cb12-2"><a href="#cb12-2" aria-hidden="true" tabindex="-1"></a><span class="fu">animate</span>(</span> <span id="cb12-3"><a href="#cb12-3" aria-hidden="true" tabindex="-1"></a> anim <span class="sc">+</span> <span class="fu">enter_fade</span>() <span class="sc">+</span> <span class="fu">exit_fly</span>(<span class="at">y_loc =</span> <span class="dv">1</span>),</span> <span id="cb12-4"><a href="#cb12-4" aria-hidden="true" tabindex="-1"></a> <span class="at">renderer =</span> <span class="fu">av_renderer</span>()</span> <span id="cb12-5"><a href="#cb12-5" aria-hidden="true" tabindex="-1"></a>)</span></code></pre></div> <p><video controls autoplay width="100%"><source 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type="video/mp4"></video></p> <div class="sourceCode" id="cb13"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb13-1"><a href="#cb13-1" aria-hidden="true" tabindex="-1"></a><span class="co"># Different size and resolution</span></span> <span id="cb13-2"><a href="#cb13-2" aria-hidden="true" tabindex="-1"></a><span class="fu">animate</span>(</span> <span id="cb13-3"><a href="#cb13-3" aria-hidden="true" tabindex="-1"></a> anim <span class="sc">+</span> <span class="fu">ease_aes</span>(<span class="at">x =</span> <span class="st">'bounce-out'</span>) <span class="sc">+</span> <span class="fu">enter_fly</span>(<span class="at">x_loc =</span> <span class="sc">-</span><span class="dv">1</span>) <span class="sc">+</span> <span class="fu">exit_fade</span>(),</span> <span id="cb13-4"><a href="#cb13-4" aria-hidden="true" tabindex="-1"></a> <span class="at">width =</span> <span class="dv">400</span>, <span class="at">height =</span> <span class="dv">600</span>, <span class="at">res =</span> <span class="dv">35</span></span> <span id="cb13-5"><a href="#cb13-5" aria-hidden="true" tabindex="-1"></a>)</span></code></pre></div> <p><img 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/><!-- --></p> <p>If you need to save the animation for later use you can use the <code>anim_save()</code> function. It works much like <code>ggsave()</code> from <em>ggplot2</em> and automatically grabs the last rendered animation if you do not specify one directly.</p> </div> <div id="want-more" class="section level2"> <h2>Want more?</h2> <p>This guide is far from exhaustive, but have hopefully given you a broad understanding of how <em>gganimate</em> works. There are still more to explore as we have only scratched the surface of transitions, let alone mentioned views and shadows. But for now this is left to you. There is a fantastic joy in discovery and with the things you have now learned you are ready to go digging on your own.</p> </div> <!-- code folding --> <!-- dynamically load mathjax for compatibility with self-contained --> <script> (function () { var script = document.createElement("script"); script.type = "text/javascript"; script.src = "https://mathjax.rstudio.com/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML"; document.getElementsByTagName("head")[0].appendChild(script); })(); </script> </body> </html>