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436 lines
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<title>An introduction to the gapmap package</title>
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</head>
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<body>
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<h1 class="title toc-ignore">An introduction to the gapmap package</h1>
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<h4 class="date">2 September 2014</h4>
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<p>This document explains basic functions of the <code>gapmap</code>
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package to draw a gapped cluster heatmap. The plot is generated using
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the <code>ggplot2</code> package. Let’s load the library first.</p>
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<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb1-1"><a href="#cb1-1" tabindex="-1"></a><span class="fu">library</span>(gapmap)</span></code></pre></div>
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<p>We will simulate a simple dataset.</p>
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<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb2-1"><a href="#cb2-1" tabindex="-1"></a><span class="fu">set.seed</span>(<span class="dv">1234</span>)</span>
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<span id="cb2-2"><a href="#cb2-2" tabindex="-1"></a>x <span class="ot"><-</span> <span class="fu">rnorm</span>(<span class="dv">10</span>, <span class="at">mean=</span><span class="fu">rep</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">5</span>, <span class="at">each=</span><span class="dv">2</span>), <span class="at">sd=</span><span class="fl">0.4</span>)</span>
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<span id="cb2-3"><a href="#cb2-3" tabindex="-1"></a>y <span class="ot"><-</span> <span class="fu">rnorm</span>(<span class="dv">10</span>, <span class="at">mean=</span><span class="fu">rep</span>(<span class="fu">c</span>(<span class="dv">1</span>,<span class="dv">2</span>), <span class="at">each=</span><span class="dv">5</span>), <span class="at">sd=</span><span class="fl">0.4</span>)</span>
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<span id="cb2-4"><a href="#cb2-4" tabindex="-1"></a>dataFrame <span class="ot"><-</span> <span class="fu">data.frame</span>(<span class="at">x=</span>x, <span class="at">y=</span>y, <span class="at">row.names=</span><span class="fu">c</span>(<span class="dv">1</span><span class="sc">:</span><span class="dv">10</span>))</span>
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<span id="cb2-5"><a href="#cb2-5" tabindex="-1"></a><span class="co">#calculate distance matrix. default is Euclidean distance</span></span>
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<span id="cb2-6"><a href="#cb2-6" tabindex="-1"></a>distxy <span class="ot"><-</span> <span class="fu">dist</span>(dataFrame)</span>
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<span id="cb2-7"><a href="#cb2-7" tabindex="-1"></a><span class="co">#perform hierarchical clustering. default is complete linkage.</span></span>
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<span id="cb2-8"><a href="#cb2-8" tabindex="-1"></a>hc <span class="ot"><-</span> <span class="fu">hclust</span>(distxy)</span>
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<span id="cb2-9"><a href="#cb2-9" tabindex="-1"></a>dend <span class="ot"><-</span> <span class="fu">as.dendrogram</span>(hc)</span></code></pre></div>
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<p>To make a gapped cluster heatmap, you need to pass a
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<code>matrix</code> object for heatmap, and <code>dendrogram</code>
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class objects for drawing dendrograms and ordering.</p>
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<div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb3-1"><a href="#cb3-1" tabindex="-1"></a>grey_scale <span class="ot">=</span><span class="fu">c</span>(<span class="st">"#333333"</span>, <span class="st">"#5C5C5C"</span>, <span class="st">"#757575"</span>, <span class="st">"#8A8A8A"</span>, <span class="st">"#9B9B9B"</span>, <span class="st">"#AAAAAA"</span>, <span class="st">"#B8B8B8"</span>, <span class="st">"#C5C5C5"</span>, <span class="st">"#D0D0D0"</span>, <span class="st">"#DBDBDB"</span>, <span class="st">"#E6E6E6"</span>)</span>
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<span id="cb3-2"><a href="#cb3-2" tabindex="-1"></a><span class="fu">gapmap</span>(<span class="at">m =</span> <span class="fu">as.matrix</span>(distxy), <span class="at">d_row=</span> <span class="fu">rev</span>(dend), <span class="at">d_col=</span>dend, <span class="at">col =</span> grey_scale)</span></code></pre></div>
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<pre><code>## Warning: The `panel.margin` argument of `theme()` is deprecated as of ggplot2 2.2.0.
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## ℹ Please use the `panel.spacing` argument instead.
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## ℹ The deprecated feature was likely used in the gapmap package.
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## Please report the issue at
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## <https://github.com/evanbiederstedt/gapmap/issues>.
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## This warning is displayed once every 8 hours.
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## Call `lifecycle::last_lifecycle_warnings()` to see where this warning was
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## generated.</code></pre>
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<p><img 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gnfEXsxx3HklltukR9++CHh3ah6zGHTpk1ly5YtsQdjbokEaOBKxMRCCCCAAAIIhE9AG69WrVrJmDFjAhO8bn0bPnx4YOIJayA0cGGtHHF7Anv37k3426CuaNeuXd5JExs3bkxYVs9mq1q1asLrYQUIIIAAAggUJUADV5QM8wMvsG/fPunZs6eMGzcuKbFq03XkkUcmvK6GDRvKq6++KvovEwIIIIAAAqkQoIFLhSrr9EVAt5pp86ZN3Pnnn5/wmNnZ2bJ///6E13PdddfJ7NmzaeASlmQFCCCAAAJFCdDAFSXD/NAInHvuudKuXbvAxNuxY8fAxEIgCCCAAAJmCnAvVDPrSlYIIIAAAgggYLAADZzBxSU1BBBAAAEEEDBTgAbOzLqSFQIIIIAAAggYLMAxcAYXl9QQQAABUwXeeOMN+e6775KS3nvvvedd7DbRlXXv3l30gudMCPghkOFe5M/xYyDGSJ/ANddck/DgehN7/ajomZrJmE488cRkrMa71ZbegF5v85XolJeXl+gqvPfr7b80Ho0r0WnkyJGJrsKX9//4448Jj6P++jnTz1hGRkbC66tdu3b+OtatW5f/uLQP9POvZyknK76jjjqqtKFEvU9vdZeMKZmf3RtvvDFmSMm440nksxJzgDhn6mctWX8Gk/Vzf84553hnsseZSszF9TOrOSbj99Hll18uH3zwQcxx4pmpP+daQ71dYqJTrVq1rL0lV3L+GidaAd6fUoFly5aldP2lWXky/kCXZtyDvUd/qTCVTmDPnj2le2OMd6WiDnrNwGRNft2fN5549X6XYZl27NgRllDTGufWrVvTOn5Rg2/btq2ol9Iy3+aLpie+2SItJWNQBBBAAAEEEEDAXgEaOHtrT+YIIIAAAgggEFIBGriQFo6wEUAAAQQQQMBeARo4e2tP5ggggAACCCAQUgEauJAWjrARQAABBBBAwF4BGjh7a0/mCCCAAAIIIBBSARq4kBaOsBFAAAEEEEDAXgEaOHtrT+YIIIAAAgggEFIBGriQFo6wEUAAAQQQQMBeARo4e2tP5ggggAACCCAQUgEauJAWjrARQAABBBBAwF4BGjh7a0/mCCCAAAIIIBBSARq4kBaOsBFAAAEEEEAgWmDZsmVy0003ye7du6NfNGgODZxBxSQVBBBAAAEEbBbYsmWLtGzZUiZPnix79+41miLb6OwMS27nzp0yaNAgw7IiHQQQQAABBBIXWLx4sXTq1ElWrlyZ+MpCsAYauBAUKRLi9ddfLx9//LFUrVo1MqtE/5YvX75Ey7EQAggggAACYRQYPHiwDBkyRCpXriyNGjWSr776KoxpxBUzDVxcXOld+Oeff5Y2bdrIxIkT4wqkfv36cS3PwggggAACCIRJYPTo0dKiRQsZM2aMaDNHAxem6hErAggggAACCFgpMHfuXKlXr55VuXMSg1XlJlkEEEAAAQTME7CtedMK0sCZ9zkmIwQQQAABBBAwXIAGzvACkx4CCCCAAAIImCdAA2deTckIAQQQQAABBAwXoIEzvMCkhwACCCCAAALmCdDAmVdTMkIAAQQQQAABwwVo4AwvMOkhgAACCCCAgHkCNHDm1ZSMEEAAAQQQQMBwARo4wwtMeggggAACCNgkMHbsWHEcR6pVq2Z02jRwRpeX5BBAAAEEEEDARAEaOBOrSk4IIIAAAgggYLQADZzR5SU5BBBAAAEEEDBRgAbOxKqSEwIIIIAAAggYLUADZ3R5SQ4BBBBAAAEETBTIcM/UcExMzMScGjduLGeccYZMnDjRxPTICQEEEEAAAQRKKJBdwuVYLMQCbdq0CVz0S5cuDVxMderUCVxMb7/9duBiihXQvHnzYs1O67xzzz03f/xly5blPw7Kg1NOOSVpodx7771JW1eyVvTYY4/FXNXrr78ec346ZwZtO4b+zn7mmWfSSRJz7O7du8tzzz0X87V0zaxXr540bdo0XcOndVx2oaaVn8ERQAABBBBAAIH4BWjg4jfjHQgggAACCCCAQFoFaODSys/gCCCAAAIIIIBA/AI0cPGb8Q4EEEAAAQQQQCCtAjRwaeVncAQQQAABBBBAIH4BGrj4zXgHAggggAACCCCQVoHs6667Lq0BMHjJBdasWeNdB67k72BJBBBAAAEEEDBRIPuzzz6T4447zsTcjMspNzdXypQpY1xeJIQAAggggAAC8Qlk33DDDTJs2LD43sXSaRHQOzHk5OSkZWwGRQABBBBAAIHgCHAMXHBqQSQIIIAAAggggECJBGjgSsTEQggggAACCCCAQHAEaOCCUwsiQQABBBBAAAEESiTAzexLxMRCCCCAAAIIIBBUAcdxZPr06TJ//nzZsmWL1K1bV6655hqpXbt2UENOOC62wCVMyAoQQAABBBBAIF0Cu3fvlgsuuEBatWolI0eOlHfeeUfuueceadiwoTz//PPpCivl49LApZyYARBAAAEEEEAgVQL333+/6CXR+vXrJ+vWrZMVK1bIggUL5KijjpIuXbrIqlWrUjV0WtdLA5dW/sQH37x5s/etQz+otWrVivlf4qOwBgQQQAABBIIp8Morr0i1atXkoYcekqpVq3pB6mW3evbsKXv27PG2yAUz8sSi4hi4xPzS/u5p06bJG2+8IfoNJCsrK2Y83377bcz5zEQAAQQQQCDsAo8//rhUrlxZypYtWyiVmjVres937dpVaL4pT2jgDKnk4MGDoz68kdTatGkTeci/CCCAAAIIGCXQsWPHmPlMmDDBm3/eeefFfD3sM9mFGvYKEj8CCCCAAAIIFBJ47bXX5L333pOWLVvKH/7wh0KvmfKEBs6USpIHAggggAACCHiXE9GtcnoJkbFjxxorQgNnbGlJDAEEEEAAAbsEnnnmGWndurXXvH300Udy5JFHGgtAA2dsaUkMAQQQQAABewQGDBggPXr0kCZNmsicOXPkuOOOMzp5Gjijy0tyCCCAAAIImC2gd2Ho1auX6Ml87du39459O+yww8xO2s2OBs74EpMgAggggAAC5go8++yz8sQTT8jNN98sL730kpQvX97cZAtkxmVECmDwEAEEEEAAAQTCI5CXlyd9+/aVzMxM0cd654UDp8suu0zatm174OzQP6eBC30JSQABBBBAAAE7Bfbv3y/btm3zkp80aVJMBL3ILw1cTBpmIoAAAggggAAC/gvo3Rf0GDgbJ46Bs7Hq5IwAAggggAACoRaggQt1+QgeAQQQQAABBGwUoIGzserkjAACCCCAAAKhFqCBC3X5CB4BBBBAAAEEbBSggbOx6uSMAAIIIIAAAqEW4DIiISpfuXLlZNasWXL++efnR71+/XqpWLGiZGRk5M/jAQIIIIAAAgiYLUADF6L6avPWtWvXQhHv3btXVq5cedDTqHNzcwu9JwhP6tSpE4QwCsXwww8/FHrOk5ILBP00/pycnJInE8Ils7PD86tcL7YatImYSl6RoP0sBfHvW8k1E1syPD/1ieVpxLurVKni3SakYDLjxo2TBQsWFJzFYwQQQAABBBAwXIBj4AwvMOkhgAACCCCAgHkCNHDm1ZSMEEAAAQQQQMBwARo4wwtMeggggAACCCBgngANnHk1JSMEEEAAAQQQMFyABs7wApMeAggggAACCJgnQANnXk3JCAEEEEAAAQQMF6CBM7zApIcAAggggAAC5gnQwJlXUzJCAAEEEEAAAcMFaOAMLzDpIYAAAggggIB5AjRw5tWUjBBAAAEEEEDAcAEaOMMLTHoIIIAAAgggYJ4ADZx5NSUjBBBAAAEErBYYNWqUPProo0Yb0MAZXV6SQwABBBBAwC6B119/Xe6++2555ZVXjE6cBs7o8pIcAggggAAC9gj88ssv0rlzZysSzrYiSwuSvPnmmyUrK8uCTEkRAQQQQACBaAHHcUT/FtaqVUvKly8fvYBhc2jgQl7QTp06ydKlS2XevHlFZnLUUUcV+RovIIAAAgggYILAmDFj5KOPPpIvvvhCWrdubUJKB82BBu6gPMF/sVy5cqIf2oNNrVq1OtjLvIYAAggggECoBZYtWyYPPPCAPPzww3LGGWeEOpeSBs8xcCWVYjkEEEAAAQQQCJzAvn37pGPHjnL22WdL7969AxdfqgJiC1yqZFkvAggggAACCKRc4MEHH5RVq1bJ4sWLJTPTnu1SNHAp/2gxAAIIIIAAAgikQmD//v3y+OOPy4QJE6R27dqpGCKw66SBC2xpCAwBBBBAAAEEDiawZ88eycjIkHHjxnn/RZbVy4ls3LhRmjRpIs2bN5f+/ftHXjLmXxo4Y0pJIggggAACCNgloJfPuvDCC6OS1qZOd6fq5UTKlCkT9boJM2jgTKgiOSCAAAIIIGChQIUKFeTDDz+MyvyEE06Q6tWrx3wtauGQzrDnaL+QFoiwEUAAAQQQQACBAwVo4A4U4TkCCCCAAAIIIBBwAXahBrxAhIcAAggggAAC8QnoZUVMn9gCZ3qFyQ8BBBBAAAEEjBOggTOupCSEAAIIIIAAAqYL0MCZXmHyQwABBBBAAAHjBGjgjCspCSGAAAIIIICA6QI0cKZXmPwQQAABBBBAwDgBGjjjSkpCCCCAAAIIIGC6QEafPn2cYcOGmZ4n+SGAAAIIIIAAAsYIsAXOmFKSCAIIIIAAAgjYIkADZ0ulyRMBBBBAAAEEjBGggTOmlCSCAAIIIIAAArYI0MDZUmnyRAABBBBAAAFjBGjgjCkliSCAAAIIIICALQI0cLZUmjwRQAABBBBAwBgBGjhjSkkiCCCAAAIIIGCLAA2cLZUmTwQQQAABBBAwRoAGzphSkggCCCCAAAII2CJAA2dLpckTAQQQQAABBIwRoIEzppQkggACCCCAAAK2CNDA2VJp8kQAAQQQQAABYwRo4IwpJYkggAACCCCAgC0CNHC2VJo8EUAAAQQQQMAYARo4Y0pJIggggAACCCBgiwANnC2VJk8EEEAAAQQQMEaABs6YUpIIAggggAACCNgiQANnS6XJEwEEEEAAAQSMEaCBM6aUJIIAAggggAACtgjQwNlSafJEAAEEEEAAAWMEaOCMKSWJIIAAAggggIAtAjRwtlSaPBFAAAEEEEDAGAEaOGNKSSIIIIAAAgggYIsADZwtlSZPBBBAAAEEEDBGgAbOmFKSCAIIIIAAAgjYIkADZ0ulyRMBBBBAAAEEjBGggTOmlCSCAAIIIIAAArYI0MDZUmnyRAABBBBAAAFjBGjgjCkliSCAAAIIIICALQI0cLZUmjwRQAABBBBAwBgBGjhjSkkiCCCAAAIIIGCLAA2cLZUmTwQQQAABBBAwRoAGzphSkggCCCCAAAII2CJAA2dLpckTAQQQQAABBIwRoIEzppQkggACCCCAAAK2CGRWqFDBllzJEwEEEEAAAQQQMEIg8/fffzciEZJAAAEEEEAAAQRsEWAXqi2VJk8EEEAAAQQQMEYg25hMSKRIgW+//bbI19L1wvbt29M1dJHjOo5T5GvpeuG8885L19BxjVu/fv24lvdj4eXLl+cP07t37/zHQXkwYsSIpIUyadKkpK0rWSvq1KlTzFV16dIl5vx0zgzaz/64ceNk0KBB6SSJOfaAAQNk4MCBMV9L18zGjRtLixYt0jV8WsdlC1xa+RkcAQQQQAABBBCIX4AGLn4z3oEAAggggAACCKRVgAYurfwMjgACCCCAAAIIxC9AAxe/Ge9AAAEEEEAAAQTSKkADl1Z+BkcAAQQQQAABBOIXoIGL34x3IIAAAggggAACaRWggUsrP4MjgAACCCCAAALxC9DAxW/GOxBAAAEEEEAAgbQK0MCllZ/BEUAAAQQQQACB+AVo4OI34x0IIIAAAggggEBaBWjg0srP4AgggAACCCCAQPwC3As1fjPegQACCCCAAAIBE5g+fbrMnTtXypUrJ3/84x/lrLPOkoyMjIBFmbxwaOCSZ8maEEAAAQQQQMBngd27d0vbtm1l1qxZcsQRR0itWrVk6NChoje6/+ijj6R8+fI+R+TPcOxC9ceZURBAAAEEEEAgBQIDBw70mrdevXrJL7/8IosWLZKFCxfK999/L7feemsKRgzGKmngglEHokAAAQQQQACBOAUcx5GnnnpKTjnlFHnsscckKyvLW8Npp50m7dq1kylTpsgnn3wS51rDsTi7UH2o01//+lcZMGCAZGamp1/+8MMPfciSIRBAAAEEEPBXIC8vT37//Xe5+OKL85u3SAS6W3Xs2LHy/vvvy4UXXhiZbcy/NHApLqV+uLp16yaXX365tz8+xcOxegQQQAABBKwRiJyk8PPPP0flvGnTJm/emjVrol4zYQYNnE9VbNmypdfI+TRcoWG+/fbbQs95ggACCCCAgAkCumercuXKMnPmTNGG7fDDD89P69VXX/Ueb9u2LX+eSQ/Ss0/PJEFyQQABBBBAAIG0CfTt21dycnKkQ4cO8vnnn8vKlSvl0UcflU8//VTKlClj7KVE2AKXto8cAyOAAAIIIIBAogJ33323rFu3TkaPHi1NmjTxVlezZk2ZMWOG97xq1aqJDhHI97MFLpBlISgEEEAAAQQQKIlAdna2jBo1ytvy9tprr8m8efPkp59+8nan6nHoRx99dElWE7pl2AIXupIRMAIIIIAAAghEBJYuXSq5ublyxhlnSJ06dSKzvbNP9UnTpk3z55n0gC1wJlWTXBBAAAEEELBM4LbbbpMLLrhAtm7dmp/53r175emnn5bTTz9dmjVrlj/fpAc0cCZVk1wQQAABBBCwTKBr166yY8cOueGGG2T27NnesW9XXnmlfPfdd/Liiy9690Y1kYRdqCZWlZwQQAABBBCwRKBTp06yfv16efjhh+Wtt97ysj722GO9uzDoHRpMnWjgTK0seSGAAAIIIGCJwP333y933nmnrFixQipUqCC1a9eOujODaRQ0cKZVlHwQQAABBBCwUKB8+fJy6qmnWpM5x8BZU2oSRQABBBBAAAFTBGjgTKkkeSCAAAIIIICANQI0cNaUmkQRQAABBBBAwBQBGjhTKkkeCCCAAAIIIGCNAA2cNaUmUQQQQAABBBAwRYAGzpRKkgcCCCCAAAIIWCOQ0adPH2fYsGGBTPj777+XDz74IJCxlTQovZFu9+7d5ZlnnpFu3bqV9G0shwACCCCAAAIIFCkQ2OvA6W0x2rdvL4sWLSoy+LC8UKVKFalYsWJYwiVOBBBAAAEEEAi4QGAbOL0RrTZvU6ZMkWuvvTbgjEWHp1vgypUrJ7t37y56IV5BAAEEEEAAAQTiEAhsAxfJISsrS7KzAx9mJNyof7WBS/e0evXqdIcQNf7OnTuj5qV7Rk5OTrpDiBq/UaNGUfOCOKN3796BC2vEiBH5MdWvXz//cVAeLF++PGmhzJo1K2nrStaKmjdvHnNVDz74YMz56ZxZtmzZdA4fNfbAgQPl6aefjpqf7hk9evSQoB1ypb8j9cb1Nk6cxGBj1ckZAQQQQAABBEItQAMX6vIRPAIIIIAAAgjYKEADZ2PVyRkBBBBAAAEEQi1AAxfq8hE8AggggAACCNgoQANnY9XJGQEEEEAAAQRCLUADF+ryETwCCCCAAAII2ChAA2dj1ckZAQQQQAABBEItQAMX6vIRPAIIIIAAAgjYKEADZ2PVyRkBBBBAAAEEQi1AAxfq8hE8AggggAACCNgoQANnY9XJGQEEEEAAAQRCLUADF+ryETwCCCCAAAIIFBRYtmyZ3HTTTbJ79+6Cs/Mf6z3KP/30U7nvvvtE75n81Vdf5b8Wpgc0cGGqFrEigAACCCCAQJECW7ZskZYtW8rkyZNl7969Uctt27ZN6tatK82aNZN33nlHhgwZImeddZZMmDAhatmgz6CBC3qFiA8BBBBAAAEEihVYvHixXHLJJbJy5coil73nnntEm7wvvvjC2/K2fv16ad68udx6662ydOnSIt8XxBdo4IJYFWJCAAEEEEAAgRILDB482NuStnbtWmnUqFHM9y1cuFAmTpwoN954o5x55pneMuXLl5cnn3zSe/zMM8/EfF9QZ2YHNTBT4srIyPA21/bp00cGDRqUlrTmzZuXlnEZFAEEEEAAAT8ERo8eLS1atJAxY8aINnOxjmv78MMPvVDatm1bKKTatWt7Dd0///lPCVMTRwNXqIzJf6IN3IwZM+SFF15I/spZIwIIIIAAAgjI3LlzpV69egeV+Pbbb73XjznmmKjldN6iRYtkx44dcuihh0a9HsQZNHA+VKV+/fry8MMP+zBS7CFWr14d+wXmIoAAAgggYIBAcc2bprh9+3Yv08MPPzwq4+rVq3vzfvvtt9A0cBwDF1VGZiCAAAIIIICAaQI5OTleShUrVoxKrUKFCt68yDJRCwRwBg1cAItCSAgggAACCCCQXIGaNWt6K9RLiRw4ReZVrlz5wJcC+5wGLrClITAEEEAAAQQQSJZArVq1vFXpZUQOnHRemTJlhAbuQBmeI4AAAggggAACaRQ44YQTvNEPPENV78yg15A744wzJDs7PKcGsAUujR8mhkYAAQQQQAABfwRat24terLCpEmTCg04e/Zs0Qv66u23wjTRwIWpWsSKAAIIIIAAAqUS0JMX7rjjDpk1a5Z07txZ9Bqpesutjh07SpMmTaRHjx6lWm+63hSebYXpEmJcBBBAAAEEEDBCoH///pKbm+vdxP5vf/ubl5PeC1W3ymVmhmubVriiNeLjQxIIIIAAAgggkCqBsWPHiuM4Uq1ataghtEnT67LqBXuXLFkia9as8e6LetJJJ0UtG/QZbIELeoWIDwEEEEAAAQSSKqAnK5x66qlJXaffK2MLnN/ijIcAAggggAACCCQoQAOXICBvRwABBBBAAAEE/BaggfNbnPEQQAABBBBAAIEEBWjgEgTk7QgggAACCCCAgN8CNHB+izMeAggggAACCCCQoAANXIKAvB0BBBBAAAEEEPBbIKNPnz7OsGHD/B632PE2bdokNWrUkKlTp0r79u2LXZ4FEEAAAQQQQAABWwTYAmdLpckTAQQQQAABBIwRoIEzppQkggACCCCAAAK2CNDA2VJp8kQAAQQQQAABYwRo4IwpJYkggAACCCCAgC0CNHC2VJo8EUAAAQQQQMAYARo4Y0pJIggggAACCCBgiwANnC2VJk8EEEAAAQQQMEaABs6YUpIIAggggAACCNgiQANnS6XJEwEEEEAAAQSMEaCBM6aUJIIAAggggAACtgjQwNlSafJEAAEEEEAAAWMEaOCMKSWJIIAAAggggIAtAjRwtlSaPBFAAAEEEEDAGAEaOGNKSSIIIIAAAgggYIsADZwtlSZPBBBAAAEEEDBGgAbOmFKSCAIIIIAAAgjYIkADZ0ulyRMBBBBAAAEEjBHINiYTEilSYMSIEUW+lq4XNmzYkK6hixw3Ozt4Pw5/+ctfiow3SC9MmjQpSOF4sXTq1Ck/plmzZuU/DsqD5s2bJy2U+vXrJ21dyVrR8uXLY65q6NChMeenc2Zubm46h48au3///tKlS5eo+emeMXbsWOnbt2+6wyg0/tlnny2tWrUqNM+WJ2yBs6XS5IkAAggggAACxgjQwBlTShJBAAEEEEAAAVsEsj///HN59NFHA5fvrl27AhcTASGAAAIIIIAAAkEQyJ4zZ45oExe0KS8vT6pXry5ly5YNWmjEgwACCCCAAAIIpFUge8+ePWkNoKjBN23aJDVq1JB9+/YVtQjzEUAAAQQQQAABKwU4Bs7KspM0AggggAACCIRZgAYuzNUjdgQQQAABBBCwUoAGzsqykzQCCCCAAAIIhFmABi7M1SN2BBBAAAEEELBSgAbOyrKTNAIIIIAAAgiEWYAGLszVI3YEEEAAAQQQsFIgeDd/tLIMJI0AAggggAACpRVwHEdef/11mTt3rpQpU0bOP/98+b//+z8pV65caVcZ+PfRwAW+RASIAAIIIIAAAgcTuOqqq+Stt97ybgBQsWJFeeSRR+TCCy+U6dOnS5UqVQ721tC+xi7U0JaOwBFAAAEEEEBg5syZXvM2cOBA+eWXX2T16tUyadIk+eSTT6RXr17GAtHAGVtaEkMAAQQQQMB8gUGDBsmRRx4pDzzwgLfLNDMzU2666SZp0KCBzJo1y1gAdqGWorRr166VNm3ayNdff12Kd/v/Fv1WwoQAAggggICJAnrc2+bNm6OOd9NGrmrVqiam7OVEA1eK0k6ZMkUWL14s2vUzIYAAAggggED6BLKysuSII47ID+C7776TZ5991tvIMnr06Pz5pj2ggStlRfUsl/vvv7+U7/b3bSNGjPB3QEZDAAEEEEAgDQJXXHGFzJ492xu5f//+0rNnzzRE4c+QNHD+ODMKAggggAACCKRYoHnz5tKkSRN5/vnn5S9/+Yvs379fHn74YdHdqaZN5mVkWoXIBwEEEEAAAQRKJHDnnXfKgAEDZMWKFXL55ZfLsGHDZM6cOSV6b9gWooELW8WIFwEEEEAAAQQOKpCRkSHdunXzlnnzzTcPumxYX6SBC2vliBsBBBBAAAHLBfLy8ryrQvTr1y9Konbt2t68HTt2RL1mwgwaOBOqSA4IIIAAAghYKKDHtuku0kcffVR++umnQgJ6HJxOelstEycaOBOrSk4IIIAAAghYIjB8+HDZt2+ftG7d2jt54YsvvpB77rlHHnvsMWnWrJlcd911RkpwFqqRZSUpBBBAAAEE7BDQuy7k5uZ6l/bq1KmTl7Re6uv222+XoUOHih4PZ+JEA2diVckJAQQQQAABiwRuvvlm0eZt1apVsmfPHqlXr56ULVvWaAEaOKPLS3IIIIAAAgjYIaDHw9WtW9eOZN0sOQbOmlKTKAIIIIAAAgiYIkADZ0olyQMBBBBAAAEErBGggbOm1CSKAAIIIIAAAqYI0MCZUknyQAABBBBAAAFrBGjgrCk1iSKAAAIIIICAKQI0cKZUkjwQQAABBBBAwBqBDMedgpjtpk2bpEaNGjJ16lRp3759oEJ85JFHvIsDmnp/tUBhEwwCCCCAAAIIRAmwBS6KhBkIIIAAAggggECwBWjggl0fokMAAQQQQAABBKIEaOCiSJiBAAIIIIAAAggEW4AGLtj1IToEEEAAAQQQQCBKgHuhRpGYN+P9998PXFLbt28PXEx5eXmBi6lt27aBiylWQF26dIk1O63zxo4dmz/+gw8+mP84KA+GDRuWtFCGDh2atHUla0V9+/aNuar69evHnJ/OmZUqVUrn8FFjf/nll9KhQ4eo+emeoScVtm7dOt1hFBr/sssuk27duhWaZ8sTtsDZUmnyRAABBBBAAAFjBGjgjCkliSCAAAIIIICALQI0cLZUmjwRQAABBBBAwBgBGjhjSkkiCCCAAAIIIGCLAA2cLZUmTwQQQAABBBAwRoAGzphSkggCCCCAAAII2CJAA2dLpckTAQQQQAABBIwRoIEzppQkggACCCCAAAK2CNDA2VJp8kQAAQQQQAABYwRo4IwpJYkggAACCCCAgC0C3ErLlkqTJwIIIIAAAoYJOI4j48aNO2hWtWvXFr3llmkTDZxpFSUfBBBAAAEELBHQBq64ezHr/Vtp4Cz5QJAmAggggAACCARfICMjQxYsWBAz0DvuuEO+/PJLuffee2O+HvaZbIELewWJHwEEEEAAAUsFtIFr3LhxVPbTpk2TuXPnylNPPSVNmjSJet2EGZzEYEIVyQEBBBBAAAEEPIFff/1VunXrJk2bNpXu3bsbq8IWOGNL+5/E/vGPf0jlypUNz5L0EEAAAQQQ+I9Ajx49ZNOmTfLee++JbqEzdWILnKmVdfNauHCh3HjjjQZnSGoIIIAAAgj8V+D777+XV199VS699FI5/fTT//uCgY9o4AwsaiSlnJwc2bVrV+Qp/yKAAAIIIGC0wPjx4738dCuc6RMNnOkVJj8EEEAAAQQsENCNFpMmTZLjjz9e/vjHPxqfMQ2c8SUmQQQQQAABBMwXmD59umzYsEG6du0qWVlZxidMA2d8iUkQAQQQQAAB8wW0gdPp+uuvNz9ZN8PAn4X68ssvy5IlSwJVjDlz5kheXl6gYiIYBBBAAAEEbBb4+uuvpWrVqnLcccdZwRDYBq5atWoyfPhwGTlypHcxviBVY+fOnXL00UcHKSRiQQABBBBAwFoBvaXWN998I40aNbLGILANnO6/vu+++7z/glaNRx55RIYOHRq0sIgHAQQQQAABKwXWrFnjXXXh1FNPtSb/wDZw1lSARBFAAAEEEEAgIQE981S3wtk0cRKDTdUmVwQQQAABBBAwQoAGzogykgQCCCCAAAII2CRAA2dTtckVAQQQQAABBIwQoIEzoowkgQACCCCAAAI2CdDA2VRtckUAAQQQQAABIwRo4IwoI0kggAACCCCAgE0CNHA2VZtcEUAAAQQQQMAIAa4DF4Iy6t0oFi5cGHekmzZtivs9vAEBBBBAAAEEgi9AAxfwGv3973+Xvn37yplnnikZGRlxRbtjxw4pX758XO/xa+EgXnCR+9uWvvpBrGfBbMqWLVvwqXGPc3NzQ5NTpUqVAher3h4xaNP+/fuDFpIXj94lKUhTvH8XgxR7orHQwCUqmOL37927V/S/f/3rXxLvD868efPkvPPOS3GErB4BBBBAAAEE/BbgGDi/xRkPAQQQQAABBBBIUIAGLkFA3o4AAggggAACCPgtQAPntzjjIYAAAggggAACCQrQwCUIyNsRQAABBBBAAAG/BWjg/BZnPAQQQAABBBBAIEEBGrgEAXk7AggggAACCCDgtwANnN/ijIcAAggggAACCCQoQAOXICBvRwABBBBAAAEE/BaggfNbnPEQQAABBBBAAIEEBbgTQ4KAvB0BBBBAAAEE0i/wzjvvyMcffyzbt2+Xk08+WW688UapXLly+gNLUQRsgUsRLKtFAAEEEEAAAX8EtFm7/PLLZdSoUfL222/L7bffLg0aNJAlS5b4E0AaRqGBSwM6QyKAAAIIIIBAcgRefPFFeeGFF6RDhw6ybt06WbFihcyePVvWr18vf/rTn5IzSADXQgMXwKIQEgIIIIAAAgiUTODDDz/0FuzXr59UqVLFe3zZZZfJpZdeKgsXLpTNmzeXbEUhW4oGLmQFI1wEEEAAAQQQ+K/AMccc4z358ccf/zvTfaSN2yGHHCKVKlUqNN+UJzRwplSSPBBAAAEEELBQoH379lK9enV56KGHZNasWbJ69Wrp37+/fPnll3LzzTdLuXLljFThLFQjy/qfpM466yx58sknDc6Q1BBAAAEEbBfQkxV0V+nZZ58tV155ZT7HfffdJ8OHD89/btoDtsCZVtEC+WRlZXln4hSYxUMEEEAAAQSMEvj3v/8trVu3lh07dkjHjh1l8ODBcuKJJ8qYMWNk9OjR4jiOUflGkmELXESCfxFAAAEEEEAgdAI9e/YUbeKWL18udevW9eLX3am9evWSu+66y9sy17Rp09DlVVzAbIErTojXEUAAAQQQQCCQArp17bPPPvOuARdp3jTQjIwM0V2oOr355pvev6b9jwbOtIqSDwIIIIAAApYIaAOXm5srtWvXjsr4999/9+b99NNPUa+ZMIMGzoQqkgMCCCCAAAIWCmRmZkq1atW8s0/1FloFp/Hjx3tP9eQGEycaOBOrSk4IIIAAAghYIqC3z9JrwOmFe1999VXRC/vq5UOeeOIJadiwoXTu3NlICU5iMLKsJIUAAggggIAdAp06dZIyZcpI79695dprr/WS1i1z7dq185q48uXLGwlBA2dkWUkKAQQQQAABewSuv/560f/0eLetW7d6Z6NWqFDBaAAaOKPLS3IIIIAAAgjYI6C31YrcWsv0rDkGzvQKkx8CCCCAAAIIGCdAA2dcSUkIAQQQQAABBEwXoIEzvcLkhwACCCCAAALGCdDAGVdSEkIAAQQQQAAB0wVo4EyvMPkhgAACCCCAgHECNHDGlZSEEEAAAQQQQMB0AS4jUsoK6/3XNm3aVMp3l/xtO3fuLPnCLIkAAggggAACVghkuI2IY0WmSUxy5syZcuutt8r69euTuNaiV3XyySfL0qVLRa8szYQAAggggAACCNDAlfIz8MEHH8ivv/5ayneX/G3vvvuuTJgwQfbv3y9ZWVklf2OBJadOnVrgWTAebtmyJRiBFIgiLy+vwLNgPLz99tuDEUgxUQwaNKiYJfx/ecCAAfmDPv300/mPg/KgR48eSQulS5cuSVtXslY0duzYmKvq0KFDzPnpnKm/X4M0vfbaa1K/fv0gheTFsnz5cmnVqlWg4rrsssuke/fugYrJr2DYhVpK6WbNmpXynfG9TW8Jog0cEwIIIIAAAgggEBFgn1xEgn8RQAABBBBAAIGQCNDAhaRQhIkAAggggAACCEQEaOAiEvyLAAIIIIAAAgiERIAGLiSFIkwEEEAAAQQQQCAiQAMXkeBfBBBAAAEEEEAgJAI0cCEpFGEigAACCCCAAAIRARq4iAT/IoAAAggggAACIRGggQtJoQgTAQQQQAABBBCICNDARST4FwEEEEAAAQQQCIkAd2IISaEIEwEEEEAAAQRiC3z00UeyYsWKmC+2a9dOqlSpEvO1MM+kgQtz9YgdAQQQQAABBKRv374yZ86cmBIXXnghDVxMGWYigAACCCCAAAJpEnAcRxYvXiyXX365DB06NCqK448/PmqeCTPYAmdCFckBAQQQQAABSwV01+nOnTvl4osvlsaNG1ujwEkM1pSaRBFAAAEEEDBP4KuvvvKSsql504TZAheyz/L+/ftl+PDhMmPGDMnIyChR9D179izRciyEAAIIIIBA2AQWLVrkhTx//nzp3bu3dzLDCSecIO3bt5cHHnhAsrPNbHXMzCpsn7444n333XfloYcekquvvloqVaoUxztZFAEEEEAAAfMEIlvgnnjiCbnyyiu9Y+Fmz54t/fr1k88++0zeeuutEm/wCJMODVyYqlUg1lGjRol+wyjJNHXq1JIsxjIIIIAAAgiETqBBgwaSlZUlzz77rBxzzDFe/MOGDZMOHTrItGnTZMqUKXLDDTeELq/iAuYYuOKEeB0BBBBAAAEEAivw+OOPy5tvvpnfvGmgutt0yJAhXszvvPNOYGNPJDAauET0eC8CCCCAAAIIBFLgxBNP9OJau3ZtIONLNCgauEQFeT8CCCCAAAIIpEUgLy9P/vznP8e8/tvPP//sxVSnTp20xJbqQTkGLtXCrB8BBBBAAAEEUiKQmZkp06dPl23btnnHuRW8aO/TTz/tjdmqVauUjJ3ulbIFLt0VYHwEEEAAAQQQKLWAHuuml9hq3bq1TJw4UebNmye9evWSkSNHSosWLbyrNpR65QF+I1vgAlwcQkMAAQQQQACBgwt06dLFW0AvsaW7U3U69NBD5e677/aum+rNMPB/NHAGFpWUEEAAAQQQsElAm7jbbrtNVq9eLfv27ZOTTjpJdPeqyRMNnMnVJTcEEEAAAQQsEdCGzdQTFmKV0Oz2NFbGzEMAAQQQQAABBEIuQAMX8gISPgIIIIAAAgjYJ0ADZ1/NyRgBBBBAAAEEQi5AAxfyAhI+AggggAACCNgnQANnX83JGAEEEEAAAQRCLkADF/ICEj4CCCCAAAII2CfAZURCUvP+/ft717RZsWJFSCImTAQQQAABBBBIlQANXKpkk7Tetm3byowZM2TChAneGvfu3Ss1a9aUjIyMEo9QtmzZEi/r14IVK1b0a6gSj5OTk1PiZVmwsIDjOIVnBOzZ9u3bAxZRcsM5/PDDk7vCFK5Nf4cFbcrKygpaSHLyyScHLiYN6JtvvglUXKeddlqg4vEzGBo4P7VLMZb+YtYGLjLNmjVLrrzySgn6H8xIvPyLAAIIIIAAAskX4Bi45JuyRgQQQAABBBBAIKUCNHAp5WXlCCCAAAIIIIBA8gVo4JJvyhoRQAABBBBAAIGUCtDApZSXlSOAAAIIIIAAAskXoIFLvilrRAABBBBAAAEEUipAA5dSXlaOAAIIIIAAAggkX4AGLvmmrBEBBBBAAAEEEEipAA1cSnlZOQIIIIAAAgggkHwBGrjkm7JGBBBAAAEEEEAgpQLciSGlvKwcAQQQQAABBPwQWLVqlbz99tuybNkyOfLII6Vdu3aBvSVZMjzYApcMRdaBAAIIIIAAAmkTeOWVV+T000+XO++8Uz7++GMZMGCA93zSpElpiynVA9PApVqY9SOAAAIIIIBAygRWr14tHTt2lLp168qGDRtk6dKlsmTJEjnxxBOla9eu8uuvv6Zs7HSumAYunfqMjQACCCCAAAIJCYwcOVLKli0rL7/8slSvXt1b16mnnioPPfSQnHTSSV5Dl9AAAX0zx8AFtDCEhQACCCCAAALFCzz//PNyxRVXSP369QstfMMNN4j+Z+pEAxfSyn7++eeyZs2akEZP2AgggAACCCQu4DiObN++XRo3biw//PCDjB8/XubOnSu1atXydqs2b9488UECugYauIAWpqiwGjRoIE2bNvU+mEUtc+D8adOmHTiL5wgggAACCIReQBs4ndauXStNmjSRqlWrSp06dbyzUadMmSKDBw+Wfv36hT7PWAnQwMVSCfA8/WBqQ7Z58+YSR7l8+fISL8uCCCCAAAIIhEUgLy/PC/Wvf/2r9OnTR4YNG+Y937p1q1x88cUyaNAgadGihTRq1CgsKZU4Thq4ElMFZ8GaNWuK/lfSiQaupFIshwACCCAQJoGMjAwv3HLlysm9996bH3q1atXk1ltvlZ49e8obb7xhZAPHWaj55eYBAggggAACCIRJIDPzP21Ms2bNRJu2gtPVV1/tPdUL/Jo40cCZWFVyQgABBBBAwAIB3QJXqVKlmCf16R0ZdGrYsKGREjRwRpaVpBBAAAEEELBDoHPnzvLNN9/Iv/71r0IJv/baa97zP/zhD4Xmm/KEBs6USpIHAggggAACFgr07t1bqlSpIq1atRI9meHLL7+UoUOHyuTJk70rNpjawHESg4UfdlJGAAEEEEDAFIGjjjpKFi5cKDfddJP06NFD9MxUPR5On2tDFznRwZR8I3nQwEUk+BcBBBBAAAEEQilQu3Zt+eSTT2THjh3e8XB6zdSsrKxQ5lLSoGngSirFcggggAACCCAQaIFDDz1UTjnllEDHmKzgOAYuWZKsBwEEEEAAAQQQ8EmABs4naIZBAAEEEEAAAQSSJUADlyxJ1oMAAggggAACCPgkQAPnEzTDIIAAAggggAACyRKggUuWJOtBAAEEEEAAAQR8EqCB8wmaYRBAAAEEEEAAgWQJ0MAlS5L1IIAAAggggAACPglkOO7k01gMgwACCCCAAAIIIJAEAS7kmwREVuGPwKpVq+Sdd96RXbt2yXnnnSdF3d9Ob2D8+eefy4gRI/wJrIhRlixZ4sXQp08f0auCM0UL6JXT33//fe/K6du2bfNueaP3NDzmmGOkadOm0qxZMylXrlz0G32a88svv8iMGTNk+fLl8ttvv0lOTo5UrlxZDj/8cGncuLFcfPHFcsghh/gUjT/DbNy40ctZa3PiiSfKddddJ3Xr1vVn8ANG0Z93vRWS3utSPw9BmnJzc2XTpk1y5JFH5oelz/Xz8t5774ne3qldu3Zyzjnn5L+eygf6+1F/Vo4++uhCw6xZs0aeeuopWbx4sZQtW1YaNWokt99+uxxxxBGFlkvlk19//VWWLl0q//u//5s/zFdffSVvvPGGaNwNGzb0fp/r73RTb3uVn3gyH+gWOCYEgi4wadIkp3z58rq1OP+/li1bOuvXr48K/bbbbvOWiXrB5xlvv/22F8dHH33k88jBH+733393OnbsmF/LSF3LlCnjZGZm5s8//fTTHfcXv+8JuX9wnLZt2zrZ2dn5sURiLPjvcccd57z11lu+x5eMAV999VXH/YPpuA2p06JFC+fHH390NmzY4FStWrVQzm6D6rz88svJGDLudYwdO9aLxW08HLcJcdx7XMa9jmS/Yf/+/c6AAQOcChUqeLG5zYfj3jzd2b59u6Ofh4KfD/dWTs6oUaOSHULM9bmNm3PVVVcVek0/m5UqVSoUk8bn3q3Aeffddwstm6onzz33nPe7+7TTTssfYvDgwY7aFLTSx/o7Yd++ffnL8eDgAnLwl3nVJgH3G6WzZcuWuP/TP8apnH744Qfvl+UJJ5zgPPHEE87UqVOdyy67zHG/qTl16tRxVq9eXWh4Pxo4d2uR426BOeh/J510kvcLql69evnL6R8k2yf9I3zuuec61atXd7p06eL9IXnppZeca665xqlRo4Yzb948Z+XKlc64ceOcM844w6v966+/7hubey9F56yzzvLG/dOf/uS4Wwm8P9D6OdQvDN9++60zZ84c5+mnn/by0D88Q4YM8S2+ZAz05ptven9A9UvR+eef7/1BV2t3i5FTs2ZN5+GHH3a++eYbZ+bMmc7JJ5/sNQHulpxkDB3XOiINXJMmTbyfJXcrnPPvf/87rnUke+HHHnvMi0Wdrr32Ws9Gf8Y7dOjguPfj9D7P7tZYxJbuAAAK30lEQVRaRxtkd0+B9yXA3fqV7DCi1ndgA7d582bH3crmHHbYYc4LL7zgbN261dG4Zs2a5bh7BLyfP23aUzl9/fXXXv7169d3Jk+e7A2lTaX+zOiXszFjxnhfHPRzdvPNNzv6Be6WW25JZUhGrZsGzqhyJpaM/tE88BtRSZ4PHDgwsYGLeffIkSO9uObPn19oSf0Fqd/M9Zenu+si/zU/GridO3c6tWrV8uKqWLGi10hqM1nwP/0Fr37urpT8+dqA2j598cUXRf5RGz58uNdA6FYOnfbs2eO4u1GdY4891onMS7Wfbm3SLwfu7rtih9JmVP9w69YY/UyEZdIGVf+L/NxocxrZ8qZbTApOP/30k9fg6VYnv6dIA7dgwQLHPTTCa/C1NvoFThtrvz4TBfN2d587F110Uf6WIv3Sq1sx9Wdd9xQUnNRV43UPoyg4OyWPD2zg1EtjeuWVV6LG02Zct8JpM5rKadCgQV4M7uEk+cPoVjZtKtXtwEm/CFWrVi0tdT0wljA85yxU9xPO9B8B99uj6PFaOrm7scT9RiSdO3cu9j89FiiV04oVK7xjcdw/OIWGcXdxidvEib7u7k4V9499oddT+USPe9Jj3Nq0aSPuJn+58cYb5bvvvvOO59BjOvQ/9w+hF4K7dSl//p133pnKsEKxbvfbtpx66qni7lKJilc93a1c4u6S8l7TY3p69eola9euFXdrQdTyqZihx0+6W53k0ksvLXb17h9n6dmzp7hbocX9AlTs8kFYQI8h1eOP9Gfb/UPqhaQ/+82bNxf3y4h33FbBOPWYKncrnXcMU8H5fj/Wz8ayZctEf+712Dj9mddj9B555BHvGEo/4tFj3PS/P//5z+JuLfKGdBsOcbcee8dC6jFvBSd1veCCC7xjKAvO9+Ox/g7Sz+eVV14ZNZz7hcg75izycxa1QJJmuLvkvRvL6897ZNLjSs8++2xRtwOnK664QtwtheJu5T7wJZ7HEKCBi4Fi6yxt2oYNGyYTJ04Ud8uCd3Cu+w1YivvPPe4ipWTurjb5+eefRQ9yP3C6+uqr5cknn5TPPvtM3N1dukX5wEVS9lzj0hMm/va3v4l7nIt3kLUe7M50cIG9e/eK/hLXg8APnPRgZ520YYtMkT+U2iT5MekJJ+7uJ+9noCTjuVuovMXcLa4lWTzty+jPtrvlKurnyd0dKO5hCt6B7gWD1J8p/Vy7u1sLzk7LY3cXu7hblLwvS/fdd5/3pU2/dB5//PFeQ6CNZteuXVMWm7vVyvtye2CD4e4qlN27d0vks1AwAG34YjUrBZdJxWM98URrF/mZKjiGznd3kUfVuuAyyXh8yimneJ8dd2tb/urc3eHibpnMf17wgbuXxfN1jyUsOJvHRQm4hWRCIEqgffv23qZ/95t61Gt+z/jnP//pbYbv16+f4/7xjzl8//79vWX0OIpOnTp5j2MumKKZuvtZj8/RXWluQ+kdbM1JDLGxddeX+/vIcbesFdpVoicOXHLJJd7nzt164L1Zj9txtyA4eiB9qo+1jESrB/LriRT6WYp1kkxkOf3X3Vrn7SJ3tzAUnB34xxqv+wfeKbhrK1bQelxsZDemHq/k9xQZW3ehxpr0gHfdVXjTTTd5u4T1c6KfrVROejye7kbV3aX6c6+7lvXzorsF3ebRcc9Uzh9+ypQpXjzumbT581L1QHeh6jFvd9xxh6O7wfXECp33wAMPFBpSa6onhKjT6NGjC72W7CfqozXR49302FGd9GfbPXPX261ccDfqp59+6hm6WyyTHYax60vtJ91YNvMTcy8l4LjfagNxQKkeZ6Rny+kvHD0+QhuAWNNdd93lLaO/TFP9SzzW+Ho8jp5dpWcu6jE6EyZM8OLgLNRoLXd3nWfjfkN3evTo4bRq1co7gFnrpnXUSb886HE6Os/dTRa9khTOefzxx70z5/RMOfdSIc4NN9zguLu/nQcffNDp3r27d9ybHgiusbmXPXHcXXspjCb5q9YzECO2RR3b5m518w521xz1hBw9HtHvqbgG7sB49HdFqg/M12ZSa64ukf/crYGOnmijz/XYWG2i9IuH/i7Sz7gfZ1a6u3UdPdFLj7mLxBX5N9IA6/GM2rjrfD1e148vRXpMqf5O1GOF9UQlPc5NG12NwT1EwnF3m3pGaqW/392tcweWledFCNDAFQHD7GAJuMftOO61i7xvmHpGVaxJf3nrmYGRg7FjLePHPD2LUv/gRRpJGrhoda3nvffe622xjPyR0QPB9SSGyBYM3TqkZ/Hp1oR0TO4xjY67iz7/APVInPqv/kHSP4TaWOpWwjBOusVTm9KiDmTXMyc1T73EiG6VTMcUbwPnV4zaJD700EOONk0vvvhifoOmJyvoSUuRz4o2ce7hAn6F5Y2jlzNxr+HnneGpW5HPPPPM/KZIT17Q30vu8Z2ONnN+TeqlTe2BjW/ESS91cvfdd/tu5Vf+qRqHOzG4nyCmcAnoxVQjx0XFilyP+fjggw/E3Q0c62Vf5umB4u6uC3EveSDurifv4pm+DByyQfR4LPcbt7iNguhxL3rQddAmjXHdunXi/mH0LuSrx7rpsVjuH8KghZrUePQ4Of0c64WV0zXpcWXqrhdOPtjPfLriizWu+8faO75MT/5Ip12s2PS4U/XU43fTNekFsfVYQT3Bwf2y7V20W+sbxJ/9dBmVdFwauJJKsRwCCCCAAAIIIBAQAbO/QgYEmTAQQAABBBBAAIFkCtDAJVOTdSGAAAIIIIAAAj4IcDN7H5AZAgEEwiOgx13pterindJxra94Y2R5BBAwR4Bj4MypJZkggEASBNxriol738a416QHrzMhgAACfgmwBc4vacZBAIFQCNx///3i3qzeuzVWo0aN5JxzzglF3ASJAAJ2CbAFzq56ky0CCJRAQG/9494Vwrull14KRi8JwYQAAggESYCTGIJUDWJBAIFACOh1stxbJYles0pvVs+EAAIIBE2ABi5oFSEeBBAIhIB7/0Zxr7Yv7p00vBtyByIogkAAAQT+vwC7UPkoIIAAAggggAACIRNgC1zICka4CCCAAAIIIIAADRyfAQQQQAABBBBAIGQCNHAhKxjhIoAAAggggAACNHB8BhBAAAEEEEAAgZAJ0MCFrGCEiwACCCCAAAII0MDxGUAAAQQQQAABBEImQAMXsoIRLgIIIIAAAgggQAPHZwABBBBAAAEEEAiZAA1cyApGuAgggAACCCCAAA0cnwEEEEAAAQQQQCBkAjRwISsY4SKAAAIIIIAAAjRwfAYQQAABBBBAAIGQCdDAhaxghIsAAggggAACCNDA8RlAAAEEEEAAAQRCJkADF7KCES4CCCCAAAIIIEADx2cAAQQQQAABBBAImQANXMgKRrgIIIAAAggggAANHJ8BBBBAAAEEEEAgZAI0cCErGOEigAACCCCAAAI0cHwGEEAAAQQQQACBkAnQwIWsYISLAAIIIIAAAgjQwPEZQAABBBBAAAEEQiZAAxeyghEuAggggAACCCBAA8dnAAEEEEAAAQQQCJkADVzICka4CCCAAAIIIIAADRyfAQQQQAABBBBAIGQCNHAhKxjhIoAAAggggAACNHB8BhBAAAEEEEAAgZAJ0MCFrGCEiwACCCCAAAII0MDxGUAAAQQQQAABBEImQAMXsoIRLgIIIIAAAgggQAPHZwABBBBAAAEEEAiZAA1cyApGuAgggAACCCCAwP8D1DAesaCAc5wAAAAASUVORK5CYII=" /><!-- --></p>
|
||
<p>The default of <code>gapmap</code> function is in the
|
||
<strong>quantitative</strong> mode and uses <strong>exponential</strong>
|
||
mapping. First, you can choose either modes:
|
||
<strong>quantitative</strong> or <strong>threshold</strong>.</p>
|
||
<ul>
|
||
<li><strong>quantitative</strong>: the size of gap is quantitatively
|
||
mapped to the distance/height at which two nodes merges in hierarchical
|
||
clustering. For mapping the distance, you have 2 options:
|
||
<strong>linear</strong> or <strong>exponential</strong> mapping.
|
||
<ul>
|
||
<li><strong>linear</strong>: The distance and the size of a gap is
|
||
linearly mapped.</li>
|
||
<li><strong>exponential</strong>: The distance and the size of a gap is
|
||
linearly mapped. The scale log base can be set with
|
||
<strong>scale</strong> attribute. The default scale is set to 0.5.</li>
|
||
</ul></li>
|
||
<li><strong>threshold</strong>: the gaps are introduced based on the
|
||
“cutting the tree” method. By setting <strong>threshold</strong>
|
||
attributes, or alternatively <strong>row_threshold</strong> and
|
||
<strong>col_threshold</strong>, you can divide into clusters and
|
||
introduce the gaps between clusters.</li>
|
||
</ul>
|
||
<p>The following example uses the linear mapping. This mapping generate
|
||
more gaps, whereas the previous example of exponential mapping emphasize
|
||
on the large gaps.</p>
|
||
<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb5-1"><a href="#cb5-1" tabindex="-1"></a><span class="fu">gapmap</span>(<span class="at">m =</span> <span class="fu">as.matrix</span>(distxy), <span class="at">d_row=</span> <span class="fu">rev</span>(dend), <span class="at">d_col=</span>dend, <span class="at">mode =</span> <span class="st">"quantitative"</span>, <span class="at">mapping=</span><span class="st">"linear"</span>, <span class="at">col =</span> grey_scale)</span></code></pre></div>
|
||
<p><img 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" /><!-- --></p>
|
||
<p>The following example illustrate the difference of two mapping
|
||
schemes. For the exponential mapping, the scale log base is set to 0.5.
|
||
<img 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" /><!-- --></p>
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||
<p>The variation of scale log base settings is illustrated in the
|
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following plot. The value of scale is annotated on the plot. <img src="data:image/png;base64,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" /><!-- --></p>
|
||
<p>Besides the <strong>quantitative</strong> mode, there is
|
||
<strong>linear</strong> mode to introduce gap by a threshold. In the
|
||
following example, the dendrograms for rows and columns are cut at the
|
||
threshold distance of 2 and gaps of the same size are introduced between
|
||
clusters.</p>
|
||
<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb6-1"><a href="#cb6-1" tabindex="-1"></a><span class="fu">gapmap</span>(<span class="at">m =</span> <span class="fu">as.matrix</span>(distxy), <span class="at">d_row=</span> <span class="fu">rev</span>(dend), <span class="at">d_col=</span>dend, <span class="at">mode =</span> <span class="st">"threshold"</span>, <span class="at">row_threshold =</span> <span class="dv">2</span>, <span class="at">col_threshold =</span> <span class="dv">2</span>, <span class="at">col =</span> grey_scale)</span></code></pre></div>
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<p><img 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" /><!-- --></p>
|
||
<p>In addition, this package works well with our dendrogram sorting
|
||
package, called <code>dendsort</code>. For the details on dendsort,
|
||
please check our <a href="https://f1000research.com/articles/3-177/v1">paper</a>.</p>
|
||
<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><span id="cb7-1"><a href="#cb7-1" tabindex="-1"></a><span class="fu">library</span>(dendsort);</span>
|
||
<span id="cb7-2"><a href="#cb7-2" tabindex="-1"></a><span class="fu">gapmap</span>(<span class="at">m =</span> <span class="fu">as.matrix</span>(distxy), <span class="at">d_row=</span> <span class="fu">rev</span>(<span class="fu">dendsort</span>(dend)), <span class="at">d_col=</span><span class="fu">dendsort</span>(dend), <span class="at">mode =</span> <span class="st">"quantitative"</span>, <span class="at">col =</span> grey_scale)</span></code></pre></div>
|
||
<p><img 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eWX0rZtW+/UdSGLMBsBBDQSKF26tHcJhUYhxSwUdS10RkZGzLYX1A3RwAW18uQdFwHHcby/YocPHy59+vSJyxjF2ehNN90k27dvL86qrIMAAgggoKEADZyGRSEkBBBAAAHzBA4fPiwHDhyIOnB1s5e6qeCnn36KelvqDnt1wwCTfQI0cPbVlIwQQAABBHwWOHLkiAwePFieeOKJmIysmq7q1atHva1GjRqJuqauYcOGUW+LDeglQAOnVz2IBgEEEEDAQIHffvvNa96GDBniXQcbbQqxuqlAXT6xcuVKGrhoC6Lh+jRwGhaFkBBAAAEEzBRo0aKFdO7cWZvg1YPTmewU4LNQ7awrWSGAAAIIIICAxQI0cBYXl9QQQAABBBBAwE4BGjg760pWCCCAAAIIIGCxANfAWVzcWKf25JNPyr59+6La7K5du7z11RPG169fH9W21KcKDBo0KKptsDICCCCAAAImCiS5Dx51TAycmCMXuO666yJfuJAlc3JyvOcSFfJ2kWYnJSXF7COdkpOTJSUlpUjjh1v4mWeekXvvvTfcW0Wepz6NQcWkYot2mjJliowYMSLazeR+KHZqavR/s82YMSNsPPPnzw87v6gzY+l36623FnX4QpdPT08v9L2ivKE+oFx9D8Rivx01alSeoR955JE8r4vzIpbxmfIH1qpVq4pDVWCdWO676mduLKZYxnTllVeK+qjAaCf1jDuVn7rTNtpJfX5rrVq1ot2MketH/9PcyLSDFXRmZqZ2CauPidJt+u6773QLyYtn8+bNWsaVP6jdu3fnn2XVa/WRZrpPO3fu1D1ELePbv3+/dnHFqoGLdWLqM1pjNUX7EYEqjvLly8cqHOO2E/0hAuNSJmAEEEAAAQQQQMBsARo4s+tH9AgggAACCCAQQAEauAAWnZQRQAABBBBAwGwBGjiz60f0CCCAAAIIIBBAARq4ABadlBFAAAEEEEDAbAEaOLPrR/QIIIAAAgggEEABGrgAFp2UEUAAAQQQQMBsARo4s+tH9AgggAACCCAQQAEauAAWnZQRQAABBBBAwGwBGjiz60f0CCCAAAIIIBBAARq4ABadlBFAAAEEEEDAbAEaOLPrR/QIIIAAAgggEEABPsw+gEUnZQQQQAABBGwRmDdv3glTSUtLkzZt2pxwGRPfpIEzsWrEjAACCCCAAALiOI7069fvhBKdOnWigTuhEG9qKbBy5Uot4yIoBBBAAAEEohVISkqSDz/8MOxmBg8eLB999JHceeedYd83fSZH4Eyv4Ani/+KLL6RHjx5SsWLFEyzFWwgggAACCJgr0Lx58wLBL1myRNatWyePPPKItGzZssD7NszgJgYbqlhIDgcPHpQff/yxkHeZjQACCCCAgH0CP//8swwYMEAuueQSuf322+1L8P8y4gictaUlMQQQQAABBIInMHDgQNmzZ4+8+eabok6x2jpxBM7WypIXAggggAACARP49ttv5eWXX5arrrpKmjZtanX2NHBWl5fkEEAAAQQQCI7Ak08+6SWrjsLZPtHA2V5h8kMAAQQQQCAAAkePHpUFCxbIOeecI3/961+tz5gGzvoSkyACCCCAAAL2Cyxfvty7ca9///6SkpJifcI0cNaXmAQRQAABBBCwX0A1cGq6+eab7U/WzZAGLhBlJkkEEEAAAQTsFvjyyy+lUqVKcvbZZ9ud6P9lRwMXiDKTJAIIIIAAAvYKqI/U+uqrr6RRo0b2JpkvMxq4fCC8RAABBBBAAAGzBLZt2ya///67NG7c2KzAo4iWB/lGgceqCCCAAAIIIJB4AXXnqToKF6SJI3BBqja5IoAAAggggIAVAjRwVpSRJBBAAAEEEEAgSAI0cEGqNrkigAACCCCAgBUCNHBWlJEkEEAAAQQQQCBIAtzEYEC1n3rqKcnMzCxypLt27SryOqyAAAIIIIAAAvoL0MBpXqMXX3xRhg8fLpUrV5akpKQiRXv48GGpUqWKlCtXrkjr+bHwb7/95scwRRrj2LFjRVrer4VN+UiY7Oxsv0gSMo4Jd7iVLFkyITamD6pjbXNyckxnJf44C9DAxRk42s3v27dPDhw4IL/88kuRP9tt/fr10qJFC0lLS4s2DNZHAAEEEEAAAY0EuAZOo2IQCgIIIIAAAgggEIkADVwkSiyDAAIIIIAAAghoJEADp1ExCAUBBBBAAAEEEIhEgAYuEiWWQQABBBBAAAEENBKggdOoGISCAAIIIIAAAghEIkADF4kSyyCAAAIIIIAAAhoJ0MBpVAxCQQABBBBAAAEEIhGggYtEiWUQQAABBBBAAAGNBGjgNCoGoSCAAAIIIIAAApEI0MBFosQyCCCAAAIIIICARgI0cBoVg1AQQAABBBBAAIFIBGjgIlFiGQQQQAABBBBAQCMBPsxeo2IQCgIIIIAAAggUT2DlypWyZs0aOXDggJx33nlyyy23SIUKFYq3MQPW4gicAUUiRAQQQAABBBAoXEA1a1dffbU8+OCD8vrrr8ugQYOkQYMG8sUXXxS+kuHv0MAZXkDCRwABBBBAIMgCzz33nDzzzDPStWtX2bVrl2zatEneeOMN2b17t/Tq1ctaGho4a0sr0qxZMxk5cqTFGZIaAggggEDQBd5++22P4L777pOKFSt6X7dp00auuuoq+fjjj+WXX36xkogGzsqy/m9SpUuXlvT0dIszJDUEEEAAgaALnHnmmR7B999/n4dCNW6nnHKKlCtXLs98W17QwNlSSfJAAAEEEEAggAJdunSRKlWqyOjRoyUjI0O2bt0qY8aMkY8++kh69+4tpUqVslKFu1CtLCtJIYAAAgggEAwBdbOCOlV60UUXSfv27XOTvuuuu+T+++/PfW3bFxyBs62i5IMAAggggECABD777DPp1KmTZGVlSbdu3WTChAlSp04deeihh2T27NniOI6VGhyBs7KsJIUAAggggEAwBIYMGSKqidu4caPUrVvXS1qdTh02bJj84x//8I7MXXLJJdZhcATOupKSEAIIIIAAAsEQUEfX3n33Xe8ZcKHmTWWelJQk6hSqml555RXvX9v+RwNnW0XJBwEEEEAAgYAIqAYuOztb0tLSCmT8xx9/ePN27NhR4D0bZtDA2VBFckAAAQQQQCCAAsnJyVK5cmXv7lP1EVrHT08++aT3Ut3cYONEA2djVckJAQQQQACBgAioj89Sz4BTD+59+eWXRT3YVz0+ZNasWdKwYUPp27evlRLcxGBlWUkKAQQQQACBYAj07NlTSpQoISNGjJAbb7zRS1odmevcubPXxKmH2ts40cDZWFVyQgABBBBAIEACN998s6j/1PVu+/bt8+5GLVOmjNUCNHBWl5fkEEAAAQQQCI6A+lit0Edr2Z4118DZXmHyQwABBBBAAAHrBGjgrCspCSGAAAIIIICA7QI0cLZXmPwQQAABBBBAwDoBGjjrSkpCCCCAAAIIIGC7QJL7FGM7P+U1jpVTz5vp2LGjbNiwIY6j/O+mc3JypHbt2vLNN9+Iui2aCQEEEEAAAQQQ4C7UYuwDL7zwgvehuTNnzizG2kVbRX3Gm3owYTR9dteuXYs2qA9LHzt2zIdRIh9i8eLFUr9+/chX8GlJ9eHM6o8FnaZly5aFDadfv35h5ydy5ty5c2M2/Pjx42O2rVhtaOzYsXk29eijj+Z5negXAwcOTHQIEY0/Z86ciJbzcyH1x7tu06BBg0T9/tNpqlOnjvdh9TrF5FcsNHDFlE5NTZWhQ4cWc+3IVytVqpTXwEW+BksigAACCCCAgO0CnJOzvcLkhwACCCCAAALWCdDAWVdSEkIAAQQQQAAB2wVo4GyvMPkhgAACCCCAgHUCNHDWlZSEEEAAAQQQQMB2ARo42ytMfggggAACCCBgnQANnHUlJSEEEEAAAQQQsF2ABs72CpMfAggggAACCFgnQANnXUlJCAEEEEAAAQRsF6CBs73C5IcAAggggAAC1gnQwFlXUhJCAAEEEEAAAdsFaOBsrzD5IYAAAggggIB1AnwWqnUlJSEEEEAAAQSCJbB69WrZtGlT2KQ7d+4sFStWDPueyTNp4EyuHrEjgAACCCCAgIwaNUrWrl0bVqJVq1Y0cGFlmIkAAggggAACCCRIwHEc+fzzz+Xqq6+W9PT0AlGcc845BebZMIMjcAZW8cknn5QVK1ZEHHnJkiUjXpYFEUAAAQQQMElAnTr97bff5C9/+Ys0b97cpNCjipUGLio+/1deuXKlDBgwQC666CIpU6ZMRAFUq1YtouVYCAEEEEAAAdMEPv30Uy/kIDVvKmEaOMP21OzsbDl27Jg888wzUrt27Yii79q1a0TLsRACCCCAAAKmCXzyySdeyB988IGMGDHCu5lB/X7s0qWL3HPPPZKaamerw2NETNtTiRcBBBBAAAEEcgVCR+BmzZolF1xwgQwcOFCSk5Plvvvuk2uuuUbUNXI2Tna2pTZWipwQQAABBBBAoIBAgwYNJCUlRR577DE588wzvfcnT54s6uzTkiVL5Nlnn5Xu3bsXWM/0GRyBM72CxI8AAggggECABR544AF55ZVXcps3RaFOm06aNMlTUdeO2zjRwNlYVXJCAAEEEEAg4AJ16tTxBLZv326lBA2clWUlKQQQQAABBOwXyMnJkVtvvTXs899++OEHD6BWrVpWQnANnJVlJSkEEEAAAQTsF1A3Kyxfvlz279/vXed2/EN7H330UQ+gY8eOVkJwBM7KspIUAggggAACwRBQ17qpx2t16tRJnnrqKVm/fr0MGzZMZs6c6d2Feu2111oJwRE4K8tKUggggAACCARDoF+/fl6io0eP9k6nqhfly5eX4cOHy/33328tAg2ctaUlMQQQQAABBIIhoJq4Pn36yNatW+XIkSNy7rnnes+Cszl7Gjibq0tuCCCAAAIIBERAXQ9n6w0L4UrINXDhVJiHAAIIIIAAAghoLEADp3FxCA0BBBBAAAEEEAgnQAMXToV5CCCAAAIIIICAxgI0cBoXh9AQQAABBBBAAIFwAtzEEE5Fw3lz5szx7qjJzMzUMDpCQgABBBBAAAE/BZIcd/JzQBvGmjp1qvexHVlZWXFPZ9u2bdK5c2d5//33c8c666yzZM2aNYG62yY3eb5AAAEEEEAAAeEInOY7wdlnn+09VToUZkZGhrRv316K0nerp1PrNqWkpGgV0uLFi0XHj1tZtmyZ1K9fXyurjRs3ho1n1KhRYecncmZ6enrMhh83blzMthWrDeWPafLkybHadEy2M3LkyJhsJ94befrpp+M9RJG3f/To0SKvE+8V1HPWli5dGu9hirT9tLQ0+a//+q8irWPLwlwDZ0slyQMBBBBAAAEEAiNAAxeYUpMoAggggAACCNgiQANnSyXJAwEEEEAAAQQCI0ADF5hSkygCCCCAAAII2CJAA2dLJckDAQQQQAABBAIjQAMXmFKTKAIIIIAAAgjYIkADZ0slyQMBBBBAAAEEAiNAAxeYUpMoAggggAACCNgioPWDfL/55ht56623tLN+7733JCcnR7u4CAgBBBBAAAEEgiGgbQP366+/yo033iifffaZlpVo0qSJlnERFAIIIIAAAgjYL6DtKdQjR454zdtzzz0n2dnZWv2nPp7nu+++s3/vIEMEEEAAAQQQ0FJA2yNwIa3k5GRR/+k06RaPTjbEggACCCCAAALxF9C+gYs/ASMggAACCCCAgOkCW7Zskddff10yMzOlevXq0rlzZznvvPNMT6vQ+PU6tFVomLyBAAIIIIAAAgiEF3jppZekadOmMnToUFmzZo2MHTvWe71gwYLwK1gwlyNwhhZx8+bNoq4TZEIAAQQQQCDIAlu3bpVu3bpJo0aNZNWqVVKlShXZsGGD3HDDDdK/f39p3769VKtWzToiGjjDSlqrVi05//zzpU2bNhFH3rFjx4iXZUEEEEAAAQRMEpg5c6aULFlSXnzxRa95U7E3btxYRo8eLdOmTfOauf/+7/82KaWIYqWBi4hJn4UaNGjg7aTbt2+POKhHHnkk4mVZEAEEEEAAAZMEFi5cKG3btpX69evnCbt79+6i/rN1ooEzsLL16tUT9V+kEw1cpFIshwACCCBgkoDjOHLgwAFp3ry593ivJ598UtatWyc1a9b0Tqu2a9fOpHSKFCs3MRSJi4URQAABBBBAQBcB1cCpSZ2VatmypSxZskRKlSrl3Y2qrn2bOHGiLqHGPA4auJiTskEEEEAAAQQQ8EMg9LGWjz/+uPz973+Xr7/+WjIyMuTbb7/17kIdP368fPrpp36E4vsYNHC+kzMgAggggAACCMRCICkpyduMOup255135m6ycuXKctttt3mf4vSvf/0rd75NX9DA2VRNckEAAQQQQCBAAqFPRmrdurWopu346dprr/Veqgf82jjRwNlYVXJCAAEEEEAgAALqCFy5cuVk27ZtBbJVn8igpoYNGxZ4z4YZNHA2VJEcEEAAAQQQCKhA37595auvvpL//Oc/eQQWL17svb700kvzzLflBQ2cLZUkDwQQQAABBAIoMGLECKlYsaKoh9armxk++ugjSU9Pl0WLFnmPErG1geM5cAHc2UkZAQQQQAABWwROP/10+fjjj6VHjx4ycOBAUXemquvh1GvV0IVudLAl31AeNHAhCf5FAAEEEEAAASMF0tLS5J133pGsrCzvejj1qUUpKSlG5hJp0DRwkUqxHAIIIIAAAghoLVC+fHnvQ+21DjJGwXENXIwg2QwCCCCAAAIIIOCXAA2cX9KMgwACCCCAAAIIxEiABi5GkGwGAQQQQAABBBDwS4AGzi9pxkEAAQQQQAABBGIkQAMXI0g2gwACCCCAAAII+CWQ5LiTX4MVZZw9e/ZItWrV5IUXXpAuXboUZdW4Lzt16lTvIYHqdmUmBBBAAAEEEEDAbwGOwPktzngIIIAAAggggECUAjRwUQKyOgIIIIAAAggg4LcADZzf4oyHAAIIIIAAAghEKUADFyUgqyOAAAIIIIAAAn4L8FFafosnYLz09PQEjHriIbOzs0+8gM/vjhkzRvr16+fzqCcfbu7cuTJq1KiTL+jjEoXtT/Xr1/cxisiG2rhxY2QLRrDUggULIljK30V69uyZZ8CMjIw8rxP9ol27dokOIaLx77zzzoiW83Oh1FT9fj1PmTJFZsyY4SfDScdq2rSptGnT5qTL2bgAR+BsrCo5IYAAAggggIDVAjRwVpeX5BBAAAEEEEDARgEaOBurSk4IIIAAAgggYLUADZzV5SU5BBBAAAEEELBRgAbOxqqSEwIIIIAAAghYLUADZ3V5SQ4BBBBAAAEEbBSggbOxquSEAAIIIIAAAlYL0MBZXV6SQwABBBBAAAEbBWjgbKwqOSGAAAIIIICA1QI0cFaXl+QQQAABBBBAwEYBGjgbq0pOCCCAAAIIIGC1gH4ftmY1N8khgAACCCCAQKwFHMeRpUuXyrp166REiRJy2WWXyZVXXimlSpWK9VDabI8GTptSEAgCCCCAAAIIFEfgb3/7m6xYsUKqVKkiZcuWlalTp0qrVq1k+fLlUrFixeJsUvt1OIWqfYkIEAEEEEAAAQQKE3jttde85m3cuHGyc+dO2bp1qyxYsEDeeecdGTZsWGGrGT+fBs74EpIAAggggAACwRUYP368VK9eXe655x7vlGlycrL06NFDGjRoIBkZGdbCcAq1GKWtVKmSpKSkSMOGDYuxtv+rdOvWzf9BGREBBBBAAAEfBNR1b7/88kuB691UI6d+X9s60cAVo7L9+/eXP/74QzZt2lSMtVkFAQQQQAABBGIloA6onHbaabmb++abb+Sxxx6TL7/8UmbPnp0737YvaOCKWVGTzqunp6cXM0tWQwABBBBAwByBtm3byhtvvOEFPGbMGBkyZIg5wRcxUhq4IoKxOAIIIIAAAgjoKdCuXTtp2bKlLFy4UKZMmSLHjh2TiRMnijqdattkX0a2VYh8EEAAAQQQQCAigaFDh8rYsWO9S5yuvvpqmTx5sqxduzaidU1biAbOtIoRLwIIIIAAAgicUCApKUkGDBjgLfPKK6+ccFlT36SBM7VyxI0AAggggEDABXJycuT666+X++67r4BEWlqaNy8rK6vAezbMoIGzoYrkgAACCCCAQAAF1LVt6hTptGnTZMeOHXkE1HVwalIfq2XjRANnY1XJCQEEEEAAgYAI3H///XLkyBHp1KmTd/PC+++/L3fccYdMnz5dWrduLTfddJOVEtyFamVZSQoBBBBAAIFgCKhPXcjOzpa7775bevbs6SWtPtB+0KBBoh6jpa6Hs3GigbOxquSEAAIIIIBAgAR69+7tNW9btmyRQ4cOSb169aRkyZJWC9DAWV1ekkMAAQQQQCAYAup6uLp16wYjWTfL1Hnz5mmZ7G+//aZlXASFAAIIIIAAAggkWiC1X79+iY6h0PGrVq1a4MNpC12YNxBAAAEEEEAAgYAIpN51110yadIk7dLds2eP1KxZUw4fPqxdbASEAAIIIIAAAggkUiA1JSVF1N0auk06xqSbEfEggAACCCCAQDAFeA5cMOtO1ggggAACCCBgsAANnMHFI3QEEEAAAQQQCKZA0r333utMnjxZu+zVNXDVqlWTF154Qbp06aJdfASEAAIIIIAAAggkSoAjcImSZ1wEEEAAAQQQQKCYAjRwxYRjNQQQQAABBBBAIFECNHCJkmdcBBBAAAEEEECgmAI0cMWEYzUEEEAAAQQQQCBRAjRwiZJnXAQQQAABBBBAoJgCNHDFhGM1BBBAAAEEEEAgUQI0cImSZ1wEEEAAAQQQQKCYAjRwxYRjNQQQQAABBBBAIFECNHCJkmdcBBBAAAEEEECgmAI0cMWEYzUEEEAAAQQQQCBRAjRwiZJnXAQQQAABBBBAoJgCNHDFhGM1BBBAAAEEEEAgUQI0cImSZ1wEEEAAAQQQQKCYAjRwxYRjNQQQQAABBBBAIFECNHCJkmdcBBBAAAEEEECgmAI0cMWEYzUEEEAAAQQQQCBRAjRwiZJnXAQQQAABBBBAoJgCqcVcj9UMEujXr5920TqOo1VM8+bNk/Hjx2sVkwpm7NixMm7cOK3iKiyeBQsWaBWnCqZnz54xi6l+/fox21asNrRx48Y8mxoxYkSe14l+MWPGjESHENH469evj2g5PxfS7Wekyr1Fixby9ddf+8lw0rEqVaokNWrUOOlyNi7AETgbq0pOCCCAAAIIIGC1AA2c1eUlOQQQQAABBBCwUYAGzsaqkhMCCCCAAAIIWC1AA2d1eUkOAQQQQAABBGwUoIGzsarkhAACCCCAAAJWC9DAWV1ekkMAAQQQQAABGwVo4GysKjkhgAACCCCAgNUCNHBWl5fkEEAAAQQQQMBGARo4G6tKTggggAACCCBgtQANnNXlJTkEEEAAAQQQsFGABs7GqpITAggggAACCFgtwGehWl1ekkMAAQQQQCAYAsuXL5d169ZJqVKl5K9//atceOGFkpSUZG3yNHDWlpbEEEAAAQQQsF/g4MGDcsMNN0hGRoacdtppUrNmTUlPT5fmzZvL6tWrpXTp0lYicArVyrKSFAIIIIAAAsEQGDdunNe8DRs2THbu3CmffPKJfPzxx/Ltt9/KbbfdZi0CDZy1pSUxBBBAAAEE7BZwHEceeeQRadSokUyfPl1SUlK8hJs0aSKdO3eWZ599Vt555x0rETiF6kNZn3jiCVF/ISQnJ6Zfbt++vQ9ZMgQCCCCAAAL+CuTk5Mgff/whf/nLX3Kbt1AE6rTq3Llz5a233pJWrVqFZlvzLw1cnEupdq6+fftKmzZt5IILLojzaOE3v2/fvvBvMBcBBBBAAAGDBUI3Kfzwww8FstizZ483b9u2bQXes2EGDZxPVezYsaMMGDDAp9HyDtOvX7+8M3iFAAIIIICABQLqzFaFChXktddeE9WwVa1aNTerl19+2ft6//79ufNs+iIx5/RsEiQXBBBAAAEEEEiYwKhRo+To0aPStWtXee+992Tz5s0ybdo0+fe//y0lSpSw9lEiHIFL2C7HwAgggAACCCAQrcDw4cNl165dMnv2bGnZsqW3uRo1asirr77qva5UqVK0Q2i5PkfgtCwLQSGAAAIIIIBAJAKpqany4IMPekfeFi9eLOvXr5cdO3Z4p1PVdehnnHFGJJsxbhmOwBlXMgJGAAEEEEAAgZDAhg0bJDs7W5o1aya1atUKzfbuPlUvLrnkktx5Nn3BETibqkkuCCCAAAIIBEygT58+cvnll8vxT1w4fPiwPProo9K0aVNp3bq1lSI0cFaWlaQQQAABBBAIhkD//v0lKytLunfvLm+88YZ37Zt6/uk333wjzz33nPfZqDZKcArVxqqSEwIIIIAAAgER6Nmzp+zevVsmTpwoK1as8LI+66yzvE9hUJ/QYOtEA2drZckLAQQQQACBgAjcfffdMnToUNm0aZOUKVNG0tLSCnwyg20UNHC2VZR8EEAAAQQQCKBA6dKlpXHjxoHJnGvgAlNqEkUAAQQQQAABWwRo4GypJHkggAACCCCAQGAEaOACU2oSRQABBBBAAAFbBGjgbKkkeSCAAAIIIIBAYARo4AJTahJFAAEEEEAAAVsEaOBsqSR5IIAAAggggEBgBJLuvfdeZ/LkydolvGfPHqlWrZr07dtXLr74Yu3iizQg9UG6Koc5c+bIgAEDIl2N5RBAAAEEEEAAgUIFtH0OXIUKFWTw4MHy8MMPy7x58wpNwIQ3KlWqJGXLljUhVGJEAAEEEEAAAQMEtG3gSpYsKbNmzZJp06YZwFh4iOoI3CmnnCIHDx4sfCHeQQABBBBAAAEEiiCgbQOnckhOThb1ZGWTJ9XAJXoaOXJkokMoML5q0HWaxo0bJ48++qhOIXmxDBw4UHS7xKGw/SkjI0M7v3bt2sUsphEjRsRsW7Ha0IwZM/Jsqn79+nleJ/rFxo0bEx1CRONnZmZGtJyfCx09etTP4SIa6/zzz5etW7dGtKxfC5UrV05OPfVUv4bTahxuYtCqHASDAAIIIIAAAgicXIAG7uRGLIEAAggggAACCGglQAOnVTkIBgEEEEAAAQQQOLkADdzJjVgCAQQQQAABBBDQSoAGTqtyEAwCCCCAAAIIIHByARq4kxuxBAIIIIAAAgggoJUADZxW5SAYBBBAAAEEEEDg5AI0cCc3YgkEEEAAAQQQQEArARo4rcpBMAgggAACCCCAwMkFaOBObsQSCCCAAAIIIICAVgI0cFqVg2AQQAABBBBAAIGTC9DAndyIJRBAAAEEEEDAEAH12bY9evSQgwcPho1YfUb5v//9b7nrrrtEfZ7wp59+GnY53WfSwOleIeJDAAEEEEAAgYgE9u7dKx06dJBFixbJ4cOHC6yzf/9+qVu3rrRu3VpWrlwpkyZNkgsvvFDmz59fYFndZ9DA6V4h4kMAAQQQQACBkwp8/vnncsUVV8jmzZsLXfaOO+4Q1eS9//773pG33bt3S7t27eS2226TDRs2FLqejm/QwOlYFWJCAAEEEEAAgYgFJkyY4B1J2759u5x//vlh1/v444/lqaeekltuuUUuuOACb5nSpUvLww8/7H09Z86csOvpOjNV18BsiSspKUlq1aolo0aNkvT09ISkpa4FYEIAAQQQQMBWgdmzZ8s111wjDz30kKhmLtx1bW+//baX/g033JCHIS0tzWvoli1bJiY1cTRwecoY+xeqgVuxYoUsWLAg9htniwgggAACCCAg69atk3r16p1Q4uuvv/beP/PMMwssp+Z98sknkpWVJeXLly/wvo4zaOB8qEqDBg1kypQpPowUfoiRI0eGf4O5CCCAAAIIWCBwsuZNpXjgwAEv06pVqxbIuEqVKt68X3/91ZgGjmvgCpSRGQgggAACCCBgm8DRo0e9lMqWLVsgtTJlynjzQssUWEDDGTRwGhaFkBBAAAEEEEAgtgI1atTwNqgeJZJ/Cs2rUKFC/re0fU0Dp21pCAwBBBBAAAEEYiVQs2ZNb1PqMSL5JzWvRIkSQgOXX4bXCCCAAAIIIIBAAgVq167tjZ7/DlX1yQzqGXLNmjWT1FRzbg3gCFwCdyaGRgABBBBAAAF/BDp16iTqZoX8T4V44403RD3Q17RHbtHA+bPfMAoCCCCAAAIIJFBA3bwwePBgycjIkL59+8r69eu9j9zq1q2btGzZUgYOHJjA6Io+tDnHCoueG2sggAACCCCAAAK5AmPGjJHs7GzvQ+yfeOIJb776LFR1VC452axjWmZFm1sCvkAAAQQQQAABBAoKzJ07VxzHkcqVKxd4UzVpEydO9B7Y+8UXX8i2bdu8z0U999xzCyyr+wyOwOleIeJDAAEEEEAAgZgKqJsVGjduHNNt+r0xjsD5Lc54CCCAAAIIIIBAlAI0cFECsjoCCCCAAAIIIOC3AA2c3+KMhwACCCCAAAIIRClAAxclIKsjgAACCCCAAAJ+C9DA+S3OeAgggAACCCCAQJQCNHBRArI6AggggAACCCDgt0DSvffe60yePNnvcRkPAQQQQAABBBBAoJgCHIErJhyrIYAAAggggAACiRJIVh/syoQAAggggAACCCBgjkDy3r17zYmWSBFAAAEEEEAAAQSEU6jsBAgggAACCCCAgGECNHCGFYxwEUAAAQQQQAABGjj2AQQQQAABBBBAwDABGjjDCka4CCCAAAIIIIAADRz7AAIIIIAAAgggYJgADZxhBSNcBBBAAAEEEECABo59AAEEEEAAAQQQMEyABs6wghEuAggggAACCCBAA8c+gAACCCCAAAIIGCZAA2dYwQgXAQQQQAABBBCggWMfQAABBBBAAAEEDBOggTOsYISLAAIIIIAAAgjQwLEPIIAAAggggAAChgnQwBlWMMJFAAEEEEAAAQRo4NgHEEAAAQQQQAABwwRo4AwrGOEigAACCCCAAAI0cOwDCCCAAAIIIICAYQI0cIYVjHARQAABBBBAAAEaOPYBBBBAAAEEEEDAMAEaOMMKRrgIIIAAAggggAANHPsAAggggAACCCBgmAANnGEFI1wEEEAAAQQQQIAGjn0AAQQQQAABBBAwTIAGzrCCES4CCCCAAAIIIEADxz6AAAIIIIAAAggYJkADZ1jBCBcBBBBAAAEEEKCBYx9AAAEEEEAAAQQME6CBM6xghIsAAggggAACCNDAsQ8ggAACCCCAAAKGCdDAGVYwwkUAAQQQQAABBGjg2AcQQAABBBBAAAHDBGjgDCsY4SKAAAIIIIAAAjRw7AMIIIAAAggggIBhAjRwhhWMcBFAAAEEEEAAARo49gEEEEAAAQQQQMAwgVTD4iXcYggsXbq0GGvFdxXHceI7QBG3fv3118ucOXOKuFb8F7/99tvl6aefjv9ARRihV69eYZe+8847w85P5Mzp06fHbPj169fHbFux2tCf/vSnPJvKzMzM8zrRLxo1apToECIav379+hEt5+dCtWrV8nO4iMZ6/fXXRf2s1Gm66qqrpH///jqF5FssHIHzjZqBEEAAAQQQQACB2AjQwMXGka0ggAACCCCAAAK+CdDA+UbNQAgggAACCCCAQGwEaOBi48hWEEAAAQQQQAAB3wRo4HyjZiAEEEAAAQQQQCA2AjRwsXFkKwgggAACCCCAgG8CNHC+UTMQAggggAACCCAQGwEauNg4shUEEEAAAQQQQMA3ARo436gZCAEEEEAAAQQQiI0ADVxsHNkKAggggAACCCDgmwAfpeUbNQMhgAACCCCAQDwE1MczLl++XD744APZu3ev1K1bV6677jpJS0uLx3BabJMjcFqUgSAQQAABBBBAoDgCBw8elMsvv1w6duwoM2fOlJUrV8odd9whDRs2lIULFxZnk0asQwNnRJkIEgEEEEAAAQTCCdx9993y7rvvyn333Se7du2STZs2yYcffiinn3669OvXT7Zs2RJuNePn0cAZX0ISQAABBBBAILgCL730klSuXFlGjx4tlSpV8iCaN28uQ4YMkUOHDnlH5GzU4Ro4C6r6ww8/SFZWlgWZkAICCCCAAAKRC6hr3x544AGpUKGClCxZMs+KNWrU8F7//vvveebb8oIGzvBKfvHFF3LzzTfLhg0bCs1kyZIlhb7HGwgggAACCJgqkJSUJN26dQsb/vz58735LVq0CPu+6TNp4Ayv4Lp167zmLSMjQ0qUKBE2mwMHDoSdz0wEEEAAAQRsFFi8eLG8+eab0qFDB7n00kttTFFo4Cwpa+vWrQscPg6ltnTp0tCX/IsAAggggIDVAupxIuqonHqEyNy5c63NlZsYrC0tiSGAAAIIIBAsgTlz5kinTp285m316tVSvXp1awFo4KwtLYkhgAACCCAQHIGxY8fKwIEDpWXLlrJ27Vo5++yzrU6eBs7q8pIcAggggAACdguoO1GHDRsmEyZMkC5dunjXvp166ql2J+1mRwNnfYlJEAEEEEAAAXsFHnvsMZk1a5b07t1bnn/+eSldurS9yR6XGTcxHIfBlwgggAACCCBgjkBOTo6MGjVKkpOTRX2tPnkh/9SmTRu54YYb8s82/jUNnPElJAEEEEAAAQSCKXDs2DHZv3+/l/yCBQvCIqiH/NLAhaVhJgIIIIAAAggg4L+A+vQFdQ1cECeugQti1ckZAQQQQAABBIwWoIEzunwEjwACCCCAAAJBFKCBC2LVyRkBBBBAAAEEjBaggTO6fASPAAIIIIAAAkEUoIELYtXJGQEEEEAAAQSMFqCBM7p8BI8AAggggAACQRTgOXCGVf3w4cN5Ij569Gie17xAAAEEEEAAAfsFaOAMqvGSJUvCPozw3HPPlaSkJIMyIVQEEEAAAQQQiEaABi4aPZ/XnTRpklxyySXSq1ev3JHfeecdeeaZZ074IEP18SK6TcQUeUVMOcqammr3jxMTHhZqyr4S+d7vz5K1atXyZ6AijPLdd98VYWn/Fs3OzvZvsAhG0vF3SQRhx2QRu3/ixoRIn42oz3qrX7++9OnTJzco9UtFNXBMCCCAAAIIIBAcAW5iCE6tyRQBBBBAAAEELBGggbOkkKSBAAIIIIAAAsERoIELTq3JFAEEEEAAAQQsEaCBs6SQpIEAAggggAACwRGggQtOrckUAQQQQAABBCwRoIGzpJCkgQACCCCAAALBEaCBC06tyRQBBBBAAAEELBGggbOkkKSBAAIIIIAAAsERoIELTq3JFAEEEEAAAQQsEaCBs6SQpIEAAggggAAC/yvw4IMPyrRp06zmoIGzurwkhwACCCCAQLAEli5dKsOHD5eXXnrJ6sRp4KwuL8khgAACCCAQHIGdO3dK3759A5EwH2YfiDKTJAIIIIAAAnYLOI4jvXv3lpo1a0rp0qXtTtbNjiNw1peYBBFAAAEEELBf4KGHHpLVq1fLokWLpGTJktYnzBE4w0t86qmnSpUqVSQtLU2SkpLCZjN79uyw85mJAAIIIICADQKZmZlyzz33yMSJE6VZs2Y2pHTSHGjgTkqk9wLXX3+9HDp0SNTOy4QAAggggEDQBI4cOSLdunWTiy66SEaMGBGY9GngLCi12nFPNC1evPhEb/MeAggggAACxgqMHDlStmzZIp9//rkkJwfnyjAaOGN3WQJHAAEEEEAg2ALHjh2TBx54QObPn+9dShQkDRq4IFWbXBFAAAEEELBIQF1CpK7/njdvnvdfKDX1OJGffvpJWrZsKe3atZMxY8aE3rLmXxo4a0pJIggggAACCARLICUlRVq1alUgadXUqdOp6nEiJUqUKPC+DTNo4GyoIjkggAACCCAQQIEyZcrI22+/XSDz2rVre09oCPdegYUNnRGcq/0MLRBhI4AAAggggAAC+QVS9+3bJ5s3b84/n9caChw+fFjDqAgJAQQQQAABBPwWSH388cdF/cekv4A6l3/ttdfqHygRIoAAAgggkEAB9VgR26fUjIwM23O0Jr8hQ4bI7t27rcmHRBBAAAEEEECgeAKpbdu2Ld6arOW7QPny5X0fkwERQAABBBBAQD8BbmLQryZEhAACCCCAAAIInFCABu6EPLyJAAIIIIAAAgjoJ0ADp19NiAgBBBBAAAEEEDihAA3cCXl4EwEEEEAAAQQQ0E+ABk6/mhARAggggAACCCBwQgEauBPy8CYCCCCAAAIIIKCfAJ+Fql9NYh5R5cqVY75NGzdYtWpVLdM69dRTtYwrf1CmxJk/7khfV6pUKdJFE7Yc3+vFoz/llFOKt2Ic1zrvvPPiuPXib/qrr74q/spxWLNJkyZx2KoZm+QInBl1IkoEEEAAAQQQQCBXgAYul4IvEEAAAQQQQAABMwRo4MyoE1EigAACCCCAAAK5AjRwuRR8gQACCCCAAAIImCFAA2dGnYgSAQQQQAABBBDIFaCBy6XgCwQQQAABBBBAwAwBGjgz6kSUCCCAAAIIIIBArgANXC4FXyCAAAIIIIAAAmYI0MCZUSeiRAABBBBAAAEEcgVo4HIp+AIBBBBAAAEEEDBDgAbOjDoRJQIIIIAAAghEIJCZmSk9evSQgwcPRrC0uYvQwJlbOyJHAAEEEEAAgeME9u7dKx06dJBFixbJ4cOHj3vHvi9p4OyrKRkhgAACCCAQOIHPP/9crrjiCtm8eXMgcqeBC0SZSRIBBBBAAAF7BSZMmCAXXnihbN++Xc4//3x7Ez0uMxq44zD4EgEEEEAAAQTME5g9e7Zcc8018tlnn8nFF19sXgLFiDi1GOuwSoIEHMeRXbt2yerVqxMUAcMigAACCCCgn8C6deukXr16+gUWx4ho4OKIG+tN9+7dW4YMGSKvv/56kTb95ptvFml5FkYAAQQQQMAkgaA1b6o2NHAG7aG33367tG7dusgR7969u8jrsAICCCCAAAII6CtAA6dvbQpElpKSIo0aNSow/2QzaOBOJsT7CCCAAAIImCXATQxm1YtoEUAAAQQQQAABoYFjJ0AAAQQQQAABBAwToIEzrGCEiwACCCCAAAII0MCxDyCAAAIIIIAAAoYJ0MAZVjDCRQABBBBAAAEEaODYBxBAAAEEEEDAGoG5c+eKevB95cqVrckpXCI0cOFUmIcAAggggAACCGgsQAOncXEIDQEEEEAAAQQQCCdAAxdOhXkIIIAAAggggIDGAjRwGheH0BBAAAEEEEAAgXACNHDhVJiHAAIIIIAAAghoLEADp3FxCA0BBBBAAAEEEAgnQAMXToV5CCCAAAIIIICAxgI0cBoXh9AQQAABBBBAAIFwAknuw+6ccG8wDwEEEEAAAQQQQEBPgVQ9wyKqRAn8/e9/l6pVq8qkSZOkZMmSiQoj7LjZ2dmyZ88eqV69eu776vWrr74qb775ppx++unSuXNnufjii3Pfj9cXBw4ckB9//FHOOeccKVWqVJ5hFi1aJP/zP/8j27dvl1q1aknHjh3l2muvzbNMPF/k5OTI+++/L2eddZacccYZ3lBHjhwRFdcnn3zivb7kkkukdevWUqNGjXiGUqxtq/jXrl0rr7zyimRlZclll10mN910kyQlJRVre4le6aeffpLXXntNPvzwQ9m7d6/89ttvUr58ealUqZI0a9ZMrrjiCqlbt27CwlTe6vtH7TM7d+6UgwcPet/7FStW9OK6/PLLpWHDhgmLT9eBt2zZIitXrpTff/9dWrRoIZdeemnYUBcvXizvvfeezJgxI+z7fs384osvvBjuvfdeadCggV/DMk48BdQROCYEQgJuE6SOyDotW7Z0vvvuu9DshP577NgxZ+zYsU6ZMmW82NxfJs5HH33kuE2Uc/bZZ3vzVMzqv5SUFOfBBx+Me7xPPPGEN577Szl3rKNHjzpt27bNE08ormuuucZRecR7cpsFp1WrVl4MS5Ys8YbbvHmz4/7ALhCX+zEzzn/+8594h1To9vfv3+/07t3bcZtIL77Zs2d7y44cObJArG6z6bjNXKHb0vWNt99+2zn11FML5OM2/bnzUlNTnQkTJviyf+R3cpt6x/0jIzeW0P6a/9/bbrvN2bdvX/7VA/t6wYIFTunSpfO4dejQwdm9e3cBkz59+njLFXjD5xmvv/66F8fq1at9Hpnh4iWgPi+MCYFcAdXA1a5d2znttNOcsmXLOlOnTnUOHz6c+34ivpg+fbr3g0f9or/xxhudcuXKOfXq1XO6du3qpKWlOe7RLufXX391Xn75Zcf9S9hRvxA///zzuIYaroFzj1p6cV5//fXOV1995bhHvbwmeMSIEY579Mi544474hqT2ni3bt28Jlb9wnWPADru0RXPxD2a6vTt29d56623nE2bNjnKtFGjRl5TvHHjxrjHlX+AQ4cO5TaaqrlUTblqGsaMGeOUKFHCUQ2ve9TK2bBhg3P33Xc7ycnJzpAhQ/JvRuvX//rXv7x90T0y4zz00EOOe1TRGT16tFOnTh2nV69ejnv02Gug+/fv7zUD7pEuX7/XnnvuOW+/bNKkiTNz5kwvli+//NLZtWuXs3XrVsc9WuusWLHCUfFVqFDBqVmzpqP+QAj6pP6wVX+5LrYdAAAK30lEQVRMqp+Ts2bNcl544QWnTZs2nqVqhpXd8ZMfDZz6Y6h58+Yn/O/cc8/1vsfUz87Qsu5nhh4fasy/do9OOu5R5yL/F/NALN0gDZylhS1uWqqB+9vf/ub8/PPPjns60vuGd09ZOqNGjfIaguJuN5r13FO6zp///GevIVLbUT8Q1C8U9Qtf/SV8/KR+uKpmyT1NcPzsmH8droFr3Lix07RpU0cdics//eMf/3Dc02aOexo4/1sxe63GVc2PaiBD07fffus5jR8/PjQr91/lqBr1Bx54IHeeX1+4p70L1E8ZqZqqX4yq8Tx+Gj58uJdbov+YOD6mk33dvn17p0uXLgUWU0ey1PfZo48+mvueOjqimtR58+blzov3F+edd56jjmxGYqqOeKumRTXYQZ9Us6v20w8++CAPhfoDUv2hpBok1ZyHJj8aOPe0vNdgq7jUH96qkcz/n/oDWL2v9r3Qe6oBjed0yy23eGOqcYvyXzxjsmnbNHA2VTMGuYQauNCmXnzxRUc1cOqbT52e7NSpk3fEy71OJrRIXP9VjaQae+HChXnGUUcwTjnlFCdcHOoU4nXXXZdn+Vi/CNfAqR+cd955Z9ih3GtgvDy+/vrrsO/HYqY6OqKs1C+S0LRmzRpvnho/3KSa9RtuuCHcW3Gdd8899zhnnnlmnoZWHQlU8Y8bN67A2OvXr/fec6/jKfCejjPUfqlOsS1btixseN27d3fatWuX5z11VETN92NSR2zUHzovvfRSxMOpo0zq+z/o04ABA7yjqOEc1FFX1Yiro65//PGHt4gfDZwa6JdffvH+eFNnIFSjnf8PyUScQlVH0NURZ/V9ff7553tnAdSZgJP9F86WeQUFuInB3bOYChdwT1l6F+G7v4jEbVpE/fvPf/5T3B9S4n5jinvUSdxTLOL+cC98I1G8oy72VmO5jU+erbineryLrXfs2CHuqYE876kbG/LPy7NAnF6oC9HVBevhpszMTG92PG8MqVatmqj/1q1bJ25T5o3nNgXiHpUTdcH1n/70pzyhuT8OvAvr3aYhz3w/Xri/XLz6qX9DN4G4Ry7k6quv9i7uzx9DqP5uU5T/LS1fK1t148i2bdvCxuf+YSI//PBDnvdUndxf+nnmxeuFewTbu+mnsP013Ljqe809Eh7urUDNq1Klilc7twkusK+qm5UefvhhGThwoLh/ZMrzzz/vm42KS90w8fTTT4t7uYFkZGR4Ny7Vr1/ftxjyD+RepuHdHKNu1FE3dakbzkI3VuVfltfFECjY0zEnyAL5j8Dlt1AXxKu/7tTRA/cOTO+veHWDQTwndUOFOo2qTpeq8dV46q9cdXG4uj7n+L80n332We+vvccffzyeITmhI3Buw+FMmTLFce9Gc9LT0x23gSpwqvn777/3/vpUOcTzFKpKWB0dUEdKVSyhse666y7vlIm6Bis0qdNmodMb7h2Iodm+/ev+ovHqpI62qevhTjSpa/kuvPBCzzaU04mW1+W9Cy64wIv5+KOu6tSwurlE7b/qKHJoCh0dUTcz+DW5TYbj/tJ33njjjdx9JdzY6vrSoUOHevUK3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