{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"bitcoin_ethereum.ipynb","provenance":[{"file_id":"1GD-0aYQwMHGBJQncL3TFmQq9LJ20x8ec","timestamp":1613763710036}],"collapsed_sections":[],"toc_visible":true,"authorship_tag":"ABX9TyNEODmhiyKiwvRv6yigS53R"},"kernelspec":{"name":"python3","display_name":"Python 3"}},"cells":[{"cell_type":"markdown","metadata":{"id":"vM_cWCZbJlYO"},"source":["#
\n","
\n","During the last years we have seen a raise on the popularity of Bitcoin and, as a consequence, a\n","raise on the value of Bitcoin, in July 2020 Bitcoin reached a value over the 10000 USD. Due to its\n","quick grow many people see Bitcoin as a bubble and as an unstable assets.\n","
\n","\n","Many articles and news have been written about the high value of Bitcoin, but few were written about some other cryptoassets. Bitcoin is not the only cryptoassets with a high popularity\n","and growing rate. Ethereum is the second most popular cryptocurrency which has also gained\n","a lot of popularity in the recent years, this has been unnoticed by most of the people and mainstream news. It is natural to ask whether there is a relation between the values of the different\n","cryptocurrencies, in this notebook we study this question for Bitcoin and Ethereum during the\n","2020.\n","
\n","\n","\n","Cryptocurrencies are not the only cryptoassets, the introduction of Blockchain 2.0 allowed the\n","introduction of different kinds of Token which uses blockchains that already exist, such as the\n","Basic Attention Token from the browser Brave which uses the Ethereum blockchain. It is easy\n","to jump to the conclusion that a rise in the popularity of Ethereum would imply a rise on the\n","popularity of tokens based on the Ethereum blockchain. In this paper we study the question\n","whether an increase on the popularity of Ethereum implies an increase on the popularity of the\n","Basic Attention Token.\n","
\n","\n","This notebook and the code used in it can be found in the github of the author. The pdf version\n","of this notebook can be found in the webpage of the author.\n","
"]},{"cell_type":"markdown","metadata":{"id":"wLoSg-9QxJ5E"},"source":["##Preliminaries\n","This is a notebook running in Google colab in which we will be using R for coding and we will use\n","the data from Yahoo finance. Therefore we have to activate the magic for R and obtain the data\n","from Yahoo. In this section we will activate R and install/activate the packages that we will use."]},{"cell_type":"markdown","metadata":{"id":"6FJqtWZXIvBE"},"source":["Activation of R magic"]},{"cell_type":"code","metadata":{"id":"6lMaokG0IZwZ"},"source":["%load_ext rpy2.ipython"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"ZaAvP0fyI_x9"},"source":["Install and load the packages."]},{"cell_type":"code","metadata":{"id":"48ySP0vuB9X6"},"source":["%%R\n","install.packages('quantmod')\n","install.packages('dplyr')\n","install.packages('tidyverse')\n","install.packages('ggplot2')\n","install.packages('caTools')\n","library(quantmod)\n","library(dplyr)\n","library(tidyverse)\n","library(ggplot2)\n","library(caTools)"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"aoYOpu5u0DFQ"},"source":["##Preparation and exploration of the data\n","\n","In this section we proceed to obtain the data and do a basic exploration of it, to get a basic overview\n","of the values. We will use the data of Bitcoin, Ethereum, and the Basic Attention Token. For each\n","one we will download the data an plot the Japanese Candlesticks. We will work with the adjusted\n","value.\n","
"]},{"cell_type":"markdown","metadata":{"id":"blxq7odW1nsl"},"source":["\n","We will study the time interval of 2020, from 1st of January to the 31st of December. We have\n","to define the interval so we can proceed with the downloading of the data.\n","
"]},{"cell_type":"code","metadata":{"id":"k073HbLzr98R"},"source":["%%R\n","starting_date <- \"2020-1-1\"\n","final_date <- \"2020-12-31\""],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"SycPaPM_xeif"},"source":["###Bitcoin"]},{"cell_type":"code","metadata":{"id":"SJB43vePAhke","colab":{"base_uri":"https://localhost:8080/","height":497},"executionInfo":{"status":"ok","timestamp":1613991965086,"user_tz":-60,"elapsed":793,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"bac7f844-93c4-42f2-9f6d-ddfc379574b1"},"source":["%%R\r\n","BTCUSD <- getSymbols.yahoo(\"BTC-USD\", from = starting_date, to = final_date, auto.assign = F)[,]\r\n","BTCAdjust <- BTCUSD[,6]\r\n","chartSeries(BTCUSD)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"CKbvzWR3xlgt"},"source":["###Ethereum"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"kyD3N6EgmdT8","executionInfo":{"status":"ok","timestamp":1613991753229,"user_tz":-60,"elapsed":782,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"e9b1fa27-4d42-46a7-bd1d-ccc03df02a62"},"source":["%%R\n","ETHUSD <- getSymbols.yahoo(\"ETH-USD\", from = starting_date, to = final_date, auto.assign = F)[,]\n","ETHAdjust <- ETHUSD[,6]\n","chartSeries(ETHUSD)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"rurYEqwHxvW9"},"source":["###Basic Attention Token"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"OZMxf-xknQ4Q","executionInfo":{"status":"ok","timestamp":1613991757936,"user_tz":-60,"elapsed":926,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"062a21a0-aa18-4eab-964e-7f3384f4d102"},"source":["%%R\n","BATUSD <- getSymbols.yahoo(\"BAT-USD\", from = starting_date, to = final_date, auto.assign = F)[,]\n","BATAdjust <- BATUSD[,6]\n","chartSeries(BATUSD)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"GSKG2aTfyHN5"},"source":["###Exploration of Bitcoin vs Ethereum\n","\n","As we could see in the previous images, Bitcoin and Ethereum have similarities in the behavior of\n","their value. The most notorious are the months of February, October, and September. To explore\n","this similarities we should look at different indexes.\n","
"]},{"cell_type":"markdown","metadata":{"id":"KI8M8vxJBpo0"},"source":["Let us start by taking a close look to the adjustment, below we find the plot of the adjustment,\r\n","on top is the Bitcoin and Ethereum is below."]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":977},"id":"4Ju4CdMlvazE","executionInfo":{"status":"ok","timestamp":1613936646303,"user_tz":-60,"elapsed":1075,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"65dd4adf-4317-4bd1-afb1-5f77271dd920"},"source":["%%R\n","chartSeries(BTCAdjust)\n","chartSeries(ETHAdjust)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAgAElEQVR4nOzdeXhb13kn/vfcBRcrARIkQYoUN0k0tViLdzl2nNj5OWmaxkmaaRYn03SctG4nmbZpJuk0S7fpNI3bTjvplkk7TdPUnTaNs02cOk5sS3Jq2ZblRZQoy1q4iBtIkMR+9/P747IQRIIUV+AC/H6ePHngw4vLF1fAF4fnnnsu6+npIQAAcB+h0gUAAEBpCGgAAJdCQAMAuBQCGgDApRDQAAAuhYAGAHApBDQAgEtJlS7AvUKh0K233ppOp5999lkiuueee4joRz/6UaXrAleIxWIf+tCHnMf9/f3f+973KlpOOXz0ox+dm5v72te+VulCNtEDDzzQ2NhIRLZtP/TQQ5Uux60BLQjC3XffXfhPzrmu63NzcxcvXsxms4cPHw4EAoufNTEx0d/fT0R1dXVdXV2RSESWZU3T5ubmLl26lM1mC1uGw+Gbb76ZiEZHRwcGBlZS0uDg4HpeUVNT04EDB44dO6Zp2nr2A64yOTn54osvzszMEFF9ff0999zT1tbGOR8fHz9y5Eg8HieiQCBw7733tre3E9HIyMhjjz2Wz+fXsP0Cy2y2b9++u+++2+fzfec731nq7b3apwcCgUAg8Oqrr5b/lS5V0lK7XSAWi911113btm2zbXt8fPzo0aOTk5NL7fbYsWM+n+8Nb3iDx+NZ8l+9jFwa0AWjo6POg3A4HIvFIpHI008/PT09nclknEav15tOp3O5HBElk0kiampq2r9/P2NM07SZmRmfz9fS0tLY2PjCCy+k02lnby0tLURkWVYsFnv11Vdt275mJRcuXFjPC3G+lqHGpNPpl19+mYhkWX7Pe94TDodHRkYYYz09Pc3NzV/+8pd1XX/729/e0dFx+fJlzvl1110ny/LXv/711W6/+FeX3Iwx9u53v7u7u1tV1eUrX+3TY7EYEcXj8TK/0qVKWma3xZsFg8H3vve9Ho9ncHDQ6/X29PTEYrEvfelLpmmW3O25c+eI6PDhwwjoFSmkpyAId911l6IoXq/3tddec366b9++lpaW8fHx4eFhp4Ux1tfXxxgbGho6f/4855yIOjs7d+3a1dHRcfr0aWeblpYWwzDGxsY6OzsbGxsLX7x+v3/fvn2hUCiTyRT26SgMcSiKcuedd6qq+vTTT9OikZBwOLxz585QKMQYS6VSr732WiqVKnT577zzzsHBwfPnz5fl4EH5tLW1SZJ09uzZb3/720T0oQ99KBaLNTY25vP5jo6OeDz+8MMPE9EDDzzQ09MTCoWi0eiqti/0LRz19fUlN8tkMnV1dQ8//PDBgwf37t27VLVreHpTUxMRTU1NlfmVElHJkpYqY2xsrPi5zc3NY2Njly5dOnHiBGPswx/+cENDQ0NDQzweX8mBqji3B7SDMRYOhwVB0DRt+SGCSCSiKIqu64V0JqKhoaHJycnCV2U0GpVleXR0dGJiorOzs7W1tRDQBw8e9Pv94+Pj6XR6DauUCIJw6NAhy7Kc7nZXV9cNN9xw7Nix8+fP79692+PxvPrqq3Nzc6vdLbjf4ODgn/3ZnzmPRVH0er1EpGma0/EcHx933o3j4+PRaLS1tfXcuXOr2n5BbC2z26985SuWZR08eHCZatfw9Fgsxjmfnp7Wdb2cr5RzXrKkpQ74grIvXrx48eJFImKMxWKxYDCYz+dnZ2eX2q3buD2gi0eis9nsqVOnlh+OcP6dstlsIZ0dxX/ItLa2ElE8Hk+n0/l8vrGxUZZlwzDC4bDf78/n805H27Ks3bt3r6paRVEkScrn8xMTE4ZhTE9Pi6Jo2/bU1FRvb6/zSzEGXdsEQXjb294WDofPnj2bSCQ6OzuJqPB3t/PA7/eveXuH01JyM8uyrlnkGp7e1NQ0OztbPIBQnld6zVe0YLcltwmHww8++CARDQ8PP/74487vWsmBqji3B7QzPsUY83q90Wj0wIEDL774ojPivDaiKDY2NhqG4ZzYicfjnZ2dzc3No6OjPp+PiJzRbSJKpVKr3Xk+n08mk+Fw+PWvf30ul5uZmRkeHl7wVQE1zOv1vvOd7+zo6BgaGnr00UcXb+C8GQpviZVv39fXd9NNNzmN3//+95ff7WLrfLokSQ0NDc74bJlf6VKZu9RuSz5d1/WBgYGGhoaOjo43vvGNjzzySFWkM7k/oM+dO1foMnd3d+/YsaO7u9vp4ZbkZHcwGBQEobivHYvFEomEaZqxWEwURVEUnTFlR2tr6+joKGOseFeCsKJJ4gs2e+GFF1paWqLRaH19/fbt21taWo4fP45e81bg8/ne//73NzY2njhx4oknnnASx3lDOn/YEZGiKETkTCha1faRSKStrc1p9Hq9y+y2pGAwuJ6nNzU1CYIwNTVV/le62gO+4JU6D1RV/c53vkNE73rXu3bt2rV7925nupf7uT2gF5NleZmfplKpfD7v8/l27tz52muvFZ8kTCaTzz//vDO+MT09XQhNZ3KIz+dzpviEQiGnva6uruSvcL57ZVl2vgOKN5MkKRgMJhIJ50zFddddt3379vr6+omJifW/cHAzZ7JBY2PjU0895ZwudoyPjxNRS0uL8/XvzAmbnJxc7fbnz58/ceJEYbNwOFxys6XKO3HixHqeXpjCUf5XupSldrvgld5xxx233nrryZMnn3zySSJyOm2SVDW55/ZCr7vuOueBx+NxZqo5/65L4ZwPDAwcPHiwo6MjFotlMhmv1xsIBCzLOnv2rKIokUjEsqxTp04V/sbhnLe3t7e0tAwODjrhfv3116fT6cL38AKmaWaz2UAgsGfPnmQyWbxZIBC46aabUqnU5cuXiSgSiXDOnTETwzB8Pt+OHTsmJyeX/6sNqtH111/vzLRtbW19xzve4TSeOnXqwoUL58+f37lz5/ve9z7GWH19/auvvppOp/fv37+q7Rf8umQyWXIzWZZvu+02+vdI7evra2xsnJiYKEx8WtvTnSkcToKX+ZUuVZLP51tqt8VPP3fu3G233XbzzTc7fzq3t7cbhjE4OLjCA1Vxbg/oQvyZpplKpYaHh5f5nnfMzMw899xz3d3dkUikoaHBNM2JiQnnQpXOzk7G2OTkZPEI1Pj4eHt7e2tr66VLl15++eXrr7++ubnZ6/WePXv20KFDC8Y9HKdPn969e3dzc7PP5xsYGLj55pudzZLJ5KlTp7q6upzvlUwm88orrzgBPTg4uHv37lgspmkaArr2OH9ICYJQ6FIQkfM9/eijj957770dHR2c8/7+/h/+8Idr2H6xkpt5PJ7bb7+9sE1vb29vb+8rr7yyOHdW9fRoNKqqqpOeZX6lS5XkFFNyt8Xi8fg//dM/veENb2hrazNNc2Rk5NixY3Nzc4FAYIUHqrIYbnm1Eoyxe+65h3OOS73B4Vzqff78+W984xuVrgU22IMPPhgKhXCpd3VQFKW7u5tKzbKELS4UCh04cGBmZmZkZKTStcAG6O3t9fl8zhlLN0BAX5vX621vb9d13W1//kDFxWKxt7zlLf39/Qjo2nDnnXcWFkuqdC1EGOIAAHAtrAcNAOBSCGgAAJdCQAMAuBQCGgDApRDQAAAu5dJpdn19fS65owEAbE2c87NnzxqGUcEaXBrQjY2NzjLbAAAV0dHRoSgKAroEy7KuueYGAMDmce5cWlkYgwYAcCkENACASyGgAQBcCgENAOBSCGgAAJdCQAMAuBQCGgDApVw6D3r9uMjPD5zvfn23NLGW15h6V6rukavu6p29Jzv9X6fNJlMZUJo/0+wZ9BBR5t5M4uMJM2b6jvtaPtkipAUiyr0+N/XJKStmKa8oLb/eIk6JSzVykSd+LTH7wGzPbT3irLiggPjvxK+8HA/vuaVHnBNLlrF450s9vWQZ6Z9MJ345YUUt5bQS+2xMHlruvukAUDboQZfCaPoT08UNZos58YWJ5t9o3nHzDt8LPif7zDZz8vcnWz7e0nNrj5ATpn9tmojskD3x0ETss7Hu27q9/d74Z+NLNRLR+BfHWZ5RqVs31D1St3PfTud/235+m/+4X5wTS5ZRcucln15yS71Ln/rNqdaPtu64ZYe33xv/rXiJagCgErZcQCf/Q3LwB4ODTw5e/tpls9UkIi7ziYcmBn80OPjk4MQfTXAvH//zcStqDX1vyNnAEftMzHfSRzYFHwsa3QYR5W/O+17wKWcUprOGv2zIvDVDRLk7ckq/4n3RyyxW/9f12buz3MNLNhJR9IvR6BejyxfMRT79G9ON/71xqTKW2vnip5fckhms5RMtyjmFLAr+IKh36xt7wAFgzbZWQFsN1tRvTrX9XFvXG7vkIXnmF2eIKHtP1mq0ut7U1XVPlzQlqXvU5k83M4N1/mSnND4/PCJNSMHvB53HudflfC/4FuxZSAlWxLLrbL1Ld4YdiEhIC0JKMLYZJRuJSBm49r0p029Pe17zKOeUpcpYaueLn15yS3lU9h/1E5EdtJPvTQafCK7qkALA5tlaAS3OiDtu2iGPykTkP+43thtEJE6J+k49e1eWy7zx842+kwvDt1juzlzyfcnGzzcSke85X/6mvLpP5SKfe2CObOIK5z7OVFbYXlAF7ivduMKaZz8yW//l+mXKWH7nxU9fZsvpT01fOHnB6DAa/rRhhYUBwGbbWgFNjGYfmB35xsjIv4wkPpZwXr3vBV/T/2ia/fDsxWcuTv7+pO1b8m6+6Z9KT31mqu3n2pwTj9KYFPt0bPLzk8PfG5aHZSIS0gLLMe6/ko+23xZypRtXUq+6TyVGypmrOtoLylhm5wuevsyWjX/QuPPAzsAPA6NfG6UrGQ5QWxjNfHSm0kWswtYK6My9mcxPZNo+1Lb93dsb/uJKVzH4/WD7B9q77u4yt5nJ+5Mln5t9U3b2F2bbP9BePMkh+P1g59s6O9/SqZxSPIMepjLPRY/Wqzk/NWOm7bOly1LJxpUUnL07G3gysHwZy+x8wdNLbqn1abnbckTE8izydxFtl2Y1WiupDaDq5G7N2cEle2AutLUC2mwypVFJSAt2nZ2+L237bSKa+49ziY8liJGYFKVxiTgxk3GRF3el7bAd/1y89RdanXlpDqvJGnx80Gg3bJ+d+JWEMy3P/2O/vlPP3ZbjIp/5xZnQYyFmsZKNSxWZ/ql0ISK1PZrn/JUbF5QsY5mdL3h6yS2tZmvyoUmjwyCi9NvT4owoTl814Q+gZqTek6r7et21t3ONmp0H7bj05KXC47aPtIUeDaXvSw89NiSNS9E/jY79+dj0p6brv1w/+fnJS09dYjZTXlHC/xgWcoL/uP/SsUttD7R5X/YSUeZNGTNmDj02VNhb9x3d4pQY+YfIyDdGuMBDj4YifxMhIiErtHy8ZepzU1aT5T3pjX0qtlSjFbEuPX2JiEikS8cuEVH3G7rFaXHqv021fqzVN+0jIrPFlKav/BuVLmNOXLxzx4KnlyzDf9Qf+bvI5b+7bIdseURu/eVWWunwOECVMZtNz4VqulUT6+npqXQNJRw+fPi5556rdBUAUFMu//3l9g+2r3DjAwcOnDt3LpPJbGpJy9taQxwAAFUEAQ0AW4JzWValq1gdBDQAbAm2zxbyVZZ4VVYuAMDacD9nOfSgAQDcBz1oAACX4n6+wit43aPKygUAWBvbZ2OIAwDAjTDEAQDgUjhJCADgUuhBAwC4FPdzBDQAgBvhJCEAgEthiAMAwKVwkhAAwKVsP3rQAACuhCEOAACXwhAHAIBLoQcNAOBSXOFMQw8aAMCFqvBuyAhoANgaqqz3TISABoCtgCuc2dWX0AhoAKh96vWq8opS6SpWDQENALVPvVH1nfRVuopVQ0ADQO3L35D3vuStdBWrhoAGgNpnh2xxRqx0FauGgAaALcCudAFrgoAGgBpXjdcQOqqyaACAlbPqLXG2+sY3CAENADXPakBAAwC4kt1gCzNVmXVVWTQAwMphiAMAwKUQ0AAALmXVW9U4CZoQ0ABQ22yfbUUsca4qA1qqdAEAAJvo8sOXxZRYpUMcCGgAqGVWg6X1aWISAQ0A4DJSQmImI6vSdawJxqABoJaxHOt4Z0elq1gjBDQA1C5GxElIVWvQVWvdAADXxD3VdyfvYghoAKhZ3MsFrYpTropLBwBYnu21mYoeNACA+3AvF9QqTrkqLh0AYHm2gh40AIArcS9HQAMAuBH3IaABAFzJVmzM4gAAcCPu5SyPHjQAgPtgDBoAwKVsL4Y4AABcCUMcAAAuVe2XemM9aACoWeW8UKWpqWnnzp2KoqTT6YGBgVwuJwjC3Xffbdu2s8HU1NSpU6eIKBqN7tq1S1GUVCp15swZTdOWakRAA0DNKts8aEVR9u7d+9JLLyWTyZ6ent27d7/wwguyLBuGceTIkeItJUnat2/fSy+9lEqlenp6ent7T506tVRjFXf+AQCWV861OAYGBubm5jjn8Xjc7/cTkSRJpmku2CwajaZSqWQyyTkfGhpqamoSBGGpRvSgAaBmlW2IQ9O0yclJ53FDQ8Pc3BwRSZIkCMKNN94YDAbT6fTZs2dzuZzf78/lcs6Wpmmapun1epdqdGlAc869Xm+lqwCA6iYEBC/3yl55Dc8NBAJ79+41DGNB+/nz51Op1FLPikaj7e3tJ06cICLTNKenp4eHh/P5fE9Pz/79+48fPy4IQmFUmogsyxJFcalGlwY0Y0xV1UpXAQDVzfSYRtKw1LXcMpZzfunSpXg8vvKntLS0dHd3nzx50jnFl81mBwYGnB9duHChs7NTURTbtiXpSvA6wyBLNWIMGgBqVplncXR1dZ08eTKfzzstiqIEAgHnMWOMiGzbzmazwWCwsIEgCKqqLtWIgAaAmsU9nBnlCGhZlvv6+l5++WWn7+wIBoOHDh3y+XyMse7u7lQqZRhGIpEIBoP19fVOYzwe55wv1ejSIQ4AgA3AiHg5fk9TU5OiKIcPHy60HDt2LJFIXL58+aabbhIEIZVK9ff3E5FlWf39/X19fR6PJ5lMnj59eplGBDQAwHqNjY2NjY0tbh8cHBwcHFzQmEgknnnmmZU0YogDAMClENAAAC6FgAaA2lTti0ETAhoAapUVtsSkWOkq1gUBDQC1CQENAOBSdtgWktUdcdVdPQDAUqywJabQgwYAcB87Ygtz1R1x1V09AMBSMAYNAOBSdhg9aAAAV7LqMAYNAOAO2buyxf+JWRwAAG4x/clpK2IRkR2wCbM4AADcw2q09J06EY1+ZZQYcQ9nGi71BgCoNC5yKzwf0GbMtBrXcpsrt0FAA0AtsBoseVjWe3QissKW3qVXe/eZENAAUBusRsv/vF/v0bnMuY/nb8nLo2u5mberIKABoBZYDZZ0WeJ+btfZQl7I34yABgBwB6vREhMi05kVtTznPPlDeXkEAQ0A4AJm1JQSkjgt6jt05azCfVwaqfp7riKgAaAWWFFLnBalaUnfocsjspAR0IMGAHAFK2qJM6I4Jeo9upASfM/5xLnqvkqFENAAUBusxis9aDElbntwW6Ur2gAIaACoBbbfFvKCGBf1bl1I1Uiy1cjLAICtjPs4yzEikqYl7uXVvspoQY28DADYyrQ+TXlVISJxSiSial8jqQABDQBVT9ujKWcUIhKTItNZta8yWlAjLwMAtrJCQBMncUoUM+hBAwC4g75d9wx5nMfhR8JUCyvZESGgAaAWMCJ7/mHDFxsqWspGQkADALgUAhoAwKUQ0AAALoWABgBwKQQ0AFQ37uFMr/q7W5WEgAaA6mb7bCFfm1FWm68KALYO7p9fiKP2IKABoLqhBw0A4FLczxHQAABuZPtsDHEAALgRhjgAAFwKJwkBAFwKPWgAAJfCSUIAAJfCSUIAAJfCEAcAgEvhJCEAgEuhBw0A4FI4SQgA4FI4SQgA4FIY4gAAcCmuYMF+AAB3YkS80jVsDgQ0AFS5Gk1nQkADQNWrzeENIgQ0AIBrIaABoMphiAMAwKUwxAEA4FLoQQMAuBD31OwkaEJAA0BV414uaDWbYzX7wgBgK7AVm2noQQMAuA9XOFMR0AAA7sO9CGgAAFfiChf0ms2xmn1hALAV2IqNHjQAgBtxL6/hk4RSpQsAAFg795wkbGpq2rlzp6Io6XR6YGAgl8sRUTQa3bVrl6IoqVTqzJkzmqatqhE9aACoYi6ZB60oyt69ewcGBo4cOTI3N7d7924ikiRp3759AwMDR48eTaVSvb29q22s/AsDAFgz98yDHhgYmJub45zH43G/309E0Wg0lUolk0nO+dDQUFNTkyAIq2pEQANAFXPJEIemaZOTk87jhoaGubk5IvL7/c5ABxGZpmmaptfrXVWjS8egOeder7fSVQCA22WCGU/GsxlxIQhCT09Pe3t7cSPn/Pz58+l0eqlnRaPR9vb2EydOOHuwbbvwI8uyRFFcVaNLA5ox5oyRAwAsw5AMIS1sRlzYtj00NDQ9Pb3wNxrGUk9paWnp7u4+efKkU49t25J0JWMlSTJNc3WNG/ZqNhrntbuGIABsENtjM5VtUlxYlrVMHC/Q1NTU1dVVSGciymazDQ0NzmNFUQRBUFV1VY0YgwaAKuaSedCyLPf19b388svFfflEIhEMBuvr6xlj3d3d8Xicc76qRvf2oAEArsklJwmbmpoURTl8+HCh5dixY4Zh9Pf39/X1eTyeZDJ5+vRpIrIsa+WNCGgAqGIumQc9NjY2Nja2uD2RSDzzzDNrbqz8CwMAKDb9X6fNbeYKN7Y9bpkHvRkQ0ADgLmababasNKCx3CgAQPnYPtuKWERkB+1rbswVV5wk3CQIaABwF9tnW/UWEY3/6bix/Rqz3OyA7YYx6E1Ssy8MAKoUD3Cr3uIenr8pbzVZRJR+e9oOlOhNm02mkBXIKnuJ5YKABgB3cXrQ6kGVmcxsMLnIpz41lXpnavGW6XekQ98Olb/CskFAA4C7cC+36q3c4Vzw8aAVtfK35EPfD6Xflqarh5ptv535/zLBHwUrVGY5IKABwF2EtGDVW9o+LfBEwIpamTdn6r5ZJ4/LZvNVUztmfmmm/iv1NXyGkBDQAFBZMx+d0a67aqkjIS3YIdsO2PKwbEUtvUdXzirijOhM7ShQb1CDj9Zy95kQ0ABQWXq3ru0rCmiRmMW4n7McExOiFbVIJLJInBPt+ivnCW2fzXK13Hd2IKABoJKsRkvfpRf+0/bbLMe4h3suesQZ0WgzhKxARMKcUNyD1nfrylmlAuWWFwIaACrJ9tnaTq34P4W8IMwKnoseZjFjmyEPyUQkzolW+EpAa30aAhoAYHMxg/HAldWcuZ8LOUGcET3nPUQkpsQrAV3Ug9b2aMoZBDQAwOYRiGwSkoIdnh9fdgaXw98IK6cVIhITomfYQ0TCrFA8Bm10zPesaxsCGgAqxopY4pwoD8tG2/wl3bbfFvKC/6hfyAtEJE1L8qUSPWgucmbhJCEAwEbT9mgTfzih9+hW1BITopAXbN9879iZv1HYMvbJmDwiE5GYXDjNbitAQANAuaXemRJTYu71OSegWY5x3/wwtO2zhdyVXGL6fFgLGcEO2to+jYSt0n0mBDQAlJ/VYIUeCeVvyJsNpjQjCeqVHrQzxFHiOZyIaOKPJrRdmt1gCzNbIru2xIsEAFex6i3lNcVqshb3oBcMcRSzQ7bZbKqHVCfWy1hvxSCgAaDcnFX25SE5fV9aTIhX9aCvHuIoJmSF8NfC6iHVifUy1lsxCGgAqIzGP2iM/mHU+7KX5YvGoJca4iDyXPJE/iFidBpbJ6C3xJ8JAOBC4qzoP+4nIiEv2N7SsziKNX+6mYjEGVG7TvO+7C1bnRWEHjQAlNXiQQyWZ9xf1INeYojD4X/Sn3pnaov0oBHQAFBWiwcoBFWwlfketNliSpPL/WUffCJoNVhSYkv89Y+ABoCycq4eLG5huaIedNAWMsvlkpgQ/c/6xekt0YPeEt9CAOAeVtQSZxb1oJ0xaIFWcgfYtg+1bU5proMeNACUlVVvibNX96D/fRaH0WJIE+g1XoGABoCyshpK9aB9NhEZHYZnxFOhutwIAQ0A5ZO8P5l5S0a+cNVKoUxj3MPJWUR0uPYXEV05BDQAlAkXeeq+1Pb3bfcMLuomMyIio3NLrPK8cghoACiT3BtzgWOBZU4Dmq2mNIox6CsQ0ABQJuoB1f9j/zIbWI3WFlkFaYUQ0ABQJlbEEmaXyxwu8JVMs9s6ENAAUCZW2BKTS19gwuYXfYYCBDQAlIkdtoXUEpljkxVdeIUhIKABoEy4yJlZeqU6QRX0Dn35VTi2IAQ0AFQeyzGjy0BAL4CABoDKE1QBAb0YAhoAymH5W3ELSSF3R06KI6CvgoAGgHKw65Y+Q0gU/ZOo/8d+z3ksxHEVfF8BQDksXga6mJAXon8ULWc9VQE9aAAoBztiC3MInNXB8QKAcrDClpjCNOfVQUADQDnYYfSgVw3HCwDKAT3oNUBAA0A52GF7uYU4oBQENACUg9lgigkE9OogoAGgHKyohYBeLQQ0AJSDFVl2rVEoBQENAGUhEhbjXy0ENACASyGgAWCzWPXW5Bcm87fmSaRlVkqCpSCgAWCzJN+XFDJC5u6MVX+NuxFCSThkALBZzG1m+OGwtk8zG0wpgaXZVg0BDQCbxWwx5VFZyAj6Tl2cwRSOVUNAA8Bmsb02y7PAU4Hk/UkE9BogoAFgc9X9S53ZbCKg1wCjQgCwKWy/LeQEImIGa/m1FmkcabNqOGQAsCnMVlMam08Y7yveyhZTpTDEAQCbwmw1pQl0AdcFAQ0Am8JsMeUJudJVVDcENABsCmO7IY2iB70uCGgA2ABGl5F+e9oO2IUWvUf3XPRUsKQagIAGgA2Quz03+8Bs5q2ZQgsWgF4//AECABvA9tu+Ez4zaqZ/Kk02hf41hMVF1w8BDQAbwPbZ8ohstBncz7NvyHpPe+XLOEO4XhjiAIANwP1cHpGtRstsMqUxKfGxBAag1w89aADYALbfli5LVoNFBrV8omX2gVnf875KF5MOGQIAACAASURBVFVWjLGdO3d2dnYeOXLEMAwiEgTh7rvvtu35E6dTU1OnTp0iomg0umvXLkVRUqnUmTNnNE1bqhEBDQAbwPbZYkrkIieJxDmx8Y8aK11Rue3fvz+dTnPOCy2yLBuGceTIkeLNJEnat2/fSy+9lEqlenp6ent7T506tVQjhjgAYAPwAGe5LX3PlIsXL168eLG4RZIk0zQXbBaNRlOpVDKZ5JwPDQ01NTUJgrBUI3rQALABbJ8t5AVmM+LX3rgmpdPpBS2SJAmCcOONNwaDwXQ6ffbs2Vwu5/f7c7mcs4FpmqZper3epRpdGtCcc1nGKWCA6qGQh3ukOYkZrDY+vIyx5uZmv9+/oD0ejxfCdHmmaU5PTw8PD+fz+Z6env379x8/flwQhMKoNBFZliWK4lKNLg1oxlhxuQDgdpxs2xYToqAKNfPhzeVyqVSquIVzruv6Cp+ezWYHBgacxxcuXOjs7FQUxbZtSboSvM4wyJKN634Jm8WyMM0doGpw4pZlCdOCkBVq48PLOc9kMjMzM2veg6IokiRls1kiYowRkW3b2Wy2oaGhsIEgCKqqLtWIk4QAsGGUAcVzFtOf5wWDwUOHDvl8PsZYd3d3KpUyDCORSASDwfr6eqcxHo9zzpdqdG8PGgCqCSciCjwRqHQdlSHL8p133klEjDHnwdNPP51IJC5fvnzTTTcJgpBKpfr7+4nIsqz+/v6+vj6Px5NMJk+fPr1MIwIaANZtS8+vIyIyDOOJJ55Y3D44ODg4OLigMZFIPPPMMytpxBAHAKwXV7igIUw2Ho4pAKyX7be3+FUqmwQBDQDrZfvmb+ANGwvHFADWi/u5kEeYbDwcUwBYLwxxbBIENACsl7MQR6WrqEE4pgCwXtzPWRY96I2HgAaA9bL96EFvChxTAFgvo8uQxnHV28ZDQAPAeuXuyPmfWbgsJ6wfAhoA1kXbrckXZKZjDHrjIaABYF3yt+YDR7foGkmbDQENAOui79Q9r2GJ0U2BgAaAtVD3q3P3z5FARochD9fCPa5cCCdeAWAt0velzUaTeziXODMxAL0p0IMGgJXSdmvZu7LOY3WvGvv1WPpdaXFGrGxVNQwBDQArpR5Qs3dnicjYZsjjspAXPGc9ngsYgN4sGOIAgJUyY6a+Syei1LtTwceDRBT5agTdvM2DgAaAlTJbTLPVNNoM9SY1+sUoEXlPeStdVC3Ddx8ArJQZMz1nPYlfTdT/Zb1zl1jYVAhoAFgp7uHKGUU9qPqfxYXd5YAhDgBYBe8pr5ATyK50HVsDAhoAVsQO22JSDDwVCDyFC7vLBAENANdg+2w7ZFsRS5pEYpQVDjcAXEPyfcnUf0j5j/rlQVzSXVY4SQgAS2PEJZ59U7bpd5rkYTnytUilC9pa0IMGgCUl352cfXDW95zP/4wfS/KXHwIaAJbAKPXTqe3v3s4srIVUGQhoAChNPaR6X/GKs1gLqWIwBg0ApZkxEws9VxYCGgBKs8KWmET3uZIQ0ABQGgK64hDQAFCaHbaFOUREJeHoA0Bp6EFXHAIaAEqzI+hBVxiOPgCUZoUsMY0edCUhoAE2HZerc3F7gbCsaGUhoAE23dhfj5mtZqWrgOqDgAbYdNpuLX9zvtJVQPVBQANsLrPZFONi/pYqC2iucKZhCY4KQ0ADbC69Tw89GtJ79EoXsjpWxBLncIawwhDQAJtL69WUc4qYEM3YioahZ35xZrNLWgk7bIspBHSFIaABNpLRYRR/qqyIlbsz5znr8f/Yn3tdzugyln+67bNnPjrjhlkfxjZDnERAVxgCGmAjTfzRhL5zfjSD+/jYl8bC/xSWL8v+p/3pt6aHvz5stC+X0dp+jcvcbKn8lI/0W9PBx4OVrmKrQ0ADrJp6ULVD8zOE9S594gsTxjZD69WMTkPbpxkdBhFNf2p65B9H6r9SH3w0SETyZdnoMLynvOoh1Xli4mOJxZ8/9aCqnFYqPifP9ttmq+m54KlsGYAF+wFWbe6Dc+F/Dvue9RHRzH+ekUfk9E+nM/dkrHor8HhA3677vX51n9r2c23Fq91ve3Ab9/HUT6eUU4q2V5v9xdm6b9TJY1cWXJ7+xHTujlzo+yFzW4UDOndHLvBUoLI1ACGgAdbA6DLM6HyGWjEr9pnY4L8Ohr4XUs4r8rCc+qlU9o5s4OnAgnuReC56uMhzt+bUA6o0JkX+LmLsMAoBbcZMba8W+WpEikvqPrXcL+lq+Vvzdd+sq2wNQBjiAFgDvUu3Gi3nMRc401j939VHHo6EvhVSBhRju5F5Syb4WIkBXGYx70vell9raf1Yq/clb2HuHffw7D3Z0HdDdY/USeNSxYc4tN2aMqBUtgYg9KABVsuKWoIqzAe0SMxmRBT5SsT5Kcszu97mCpcHS98sKvbpmPPAc9GTuz1ntBvyZXn4O8NWndX5k51EJI1VJqDtOttsND0XPVbEElICWeUvARZCDxpgdfQu3XvCazaa5FwlOLFwLhpTWcnu8wLyoKweUIe/O5y5N+N7wddxX4czJCLkBdtf7jWKrLA19mdjU5+bIqL0O9KBH2EA2hUQ0ACrY3QZvhM+pwdttBry+MKecujbodD/C11zP8xg3M/D/xyO/07c/6RfmqrYn7N6tz725bHon0aFOUHbo6V/Ml33LQxAuwKGOABWR9+pB38QzLwlQ0RmmymNL/wQhf85vMJdxT4e857x5g7n/P/m3+AqV4x7ePz34i2faJGHZTtgj39xvPkzzczAKhyugB40wOqoB1WlXyGi3OFc7o5c8Ty51fL2e8mmjrd3CLmrPolMZdxbposJ1UOq7wWfPCwTUeBooOueLv8zFfu2gAUQ0ACrYLQZ0qTEDEacZj42Y/tt+fzaA3opQkawg2UahtZ6MWHDvRDQACtltpizD84GnggQkZASpDGp9WOt6+lBL0XMiqsNaCuyxlkX+i7dcw5XDLoUAhpgpaY+N+V9xevM0JCmpNC/XvtM4Nqstget79CHvzvMpbWMiuhd+lIzAqHiENAA15Z7XU49qNp+u+7rdc4y9tE/iTpd6c2w8oDO35jnEp/74JxyRsm+Kbvq38SIJGImTgm6FAIa4Npyr8+N/p/RwONXElmcFTfvhqorDGi9R5/63NToV0etZiv2mVjqvtRqf5HZWmIWCrgH/m0Ars0KWi0fb/Gd8JXn160woNP3pRv/sNF/bH7ShV1X+ilc5OohtWTx+Rvz3he96ykVNhV60ADXZtfZ3pe9QqZMnxchI1iBa5z04yJfMIGamWzBMLTts402I/2u9OQfTKbfkS60m9vM5HuTRJQ7nMOkOjdDDxrg2uyQLaTL15sRMgLvuMYZv9TPpILfDxavmCGNSmabKQ/JXOETX5jwvuzNvCXDdGZH7I77Okb/ZjT43SCzGBElfiWhHlDrvl6n9+hY9NnNENAA18YlXs4zadce4mCUeleq/f724jZ5WDa2G/KQbGwz7JDNZd7+/nYiMnoMISP4n/bnXp8LPBnQrtNsnx38fnD6k9Oei0hnV0NAA7jONQPaaDXkQZnpV31nyCOyczMXs930Petr+FKD0+5Mcw5/Izz+xXHilHxfsvELjWRT4tcSsU/FNu1FwAbAGDSA6zhj0FZ0yWFo/TpdeXXh5X/yiKzt1VL/IWVsMxZfPiONSdse3KYeVL0veT0XPJ5LntaPtgpZJICr4Z8HwHWEjGCH7eFvDJf8gHIP167TSgT0sJx6R2r2Z2fNdlMeLXHtiTglRv8k2vCXDZtRM2wGBDTANXAPdy5OKRshJ6gHVHObaWy/6hbgdp099ZtTg48N5m/Je84uHD4W58TtP73dc8mjHlClUYxe1gIE9Dow0nt1IuJymRYeg4oo8xQOIiKLuJd7T3q13ZqxzRj+zjAxsoP26N+O+o/5m3+vWdujlVw/WjmreE958wfyFVxdGjYQ/hXXLvOWTPy34k2/35R6e6rtP7VVuhzYLFbIEjMLb5uy2YS0EPlqRNurJd+TFJKC1qtl7s1E/jbiXF8eM5Y8uae8okhxafOucoRyQkCvlUCzH5pt/mzz1GenpEkcxlpWgR40UeRvI4FjgfhvxyNfjSivKel3ptXr1eifR52fBo4suQyI97TXexoXB1YAY2znzp2dnZ1HjhwxjPmxqWg0umvXLkVRUqnUmTNnNE1bVSOGONaCy1zv0JXzSvAHwc6f6BTmBNtnO+2523OVrq6acInHfzte6SquwQ7ZZbuGsKD+/9QLaSHwZKDhrxt8z/jmfnYu+j+jK+kXC2mh5VdaNr9AWGj//v2WZXF+ZcBTkqR9+/YNDAwcPXo0lUr19vauthEBvWpWg3X54ct6n+6cpREygmfQY3QZRKTv0Gd/frbSBVYTK2rlb81XuoprqEgP2tHyyRaWZ2JS3PZz28q2EgiszcWLFy9evFjcEo1GU6lUMpnknA8NDTU1NQmCsKpG9/5tLorlHvVbodzhnLZXU29RQ4+FnCKVIcXcYfrP+a1uy2g3XFu5CxnNhtlkuv2IhUnKSJUtMvR8iNx9kGpSMBg0TXNBYzqdLoxgLGhf0OL3+3O5+T+pTdM0TdPr9a6q0aUBzTkXBJf27nO35kI/DCXvSzb/ebNTpHfIm7sxZ522jE7DbDYFWSiskGD7bCHv0heyHsm3JsOPhWmNN/G4wm6y7ZBNAXLzUbJDtueyx7VvSNgkjDG/32/bC8eV8vl8yYBeTBCE4qdbliWK4qoaXRrQjLEVHoLyU3vV6EPR3P6cnbBtsolIOCck/jSRuSXjuehRzin5+ryzxq66T519cLb1o62VLnnjxf9z3Aga4X9Y6e2rl6JFNKYztUEtcVMPkYw2w7mZaWXpEV1+UXbtGxI2Cec8Ho/H42s/R2LbtiRdyVhJkkzTXFUjOgWrM/dzc97nvd5XvPVfqS80ShNS9xu6hYyg7lZ9z/qMtvlPcv7WfP5QnmrxbhXinJh6Z4qL650AbjVZnnMes9kkoquubGY09etTU5+eWuf+N4R6QMW8CFiDbDYbDAadx4qiCIKgquqqGhHQq5B8T1LdrTb+z0ZmsMhXIsU/EpKC77jPDtueQY/ZPj9olb8p7z3l1Tv1ShS7iWyfLaZE7wte7XrtqvaiBeO5j9v+a885MKOmd8BrNpnqIXX4kWEucztgx387PvLPI9K0tJI9bDYrYgl5ocxXEkJtSCQSwWCwvr6eMdbd3R2Pxznnq2p06RCHC2nXadk3ZVsfbF1qqpP/GX/u9px0WVJvVO2Anb0ra4ftum/WqTepnsGaWtTRarLEKdF/3J+7Led96UrXcuSfRjrf2kmcMm/OzH5k1g7YHW/rcBYgLkGk2f84azVavhd8ZrOZuTcTOBZIvStldBveF73Nv91MNmXvWP1N9jZa7nU5/4+xpD1cgyzLd955JxExxpwHTz/9tK7r/f39fX19Ho8nmUyePn2aiCzLWnkjAnqlEh9PNP6PxiXjhkgZUGK/EeMyT/xyQt2res576h6p8570zj4wW/cvdeUsdbOZjaY0Lfme9819YI7+ar6R+7jeo5sxU5qSZn9+tv397YmPJdSbVd/x0pPDtD5t5ldmlNOKZ8Az+5FZ4tT4Pxrj/z3OVFb3rfnD5ay6ucwcZH2nPvnfJxv+oiFwdLPu35q+L938ueZN2jnUDMMwnnjiicXtiUTimWeeWXMjAnpFbL/NRe65tGxHmJNzSWHjQ412vR34YYCIiJHRXWsnl5wetJARuO/KGLSx3SBOeo9u1VlKv8I0FvxRMP3W9FIBnb8lL01Iepcuj8nZu7Pb371dyAktH7/qCgt5XDa3mc5yxo4Fea0eUoM/Cibfm9zwgOYin/71aRJJSArSBD4mUBkYgy6F0czHZoobjG7jGulcxPeCbz6diYgTyzPnOsOa4fSgiYjlGPfOZ7TRYXhf8eo7dGfFYSLyvuzV9mmLn85lPvIvI9k3ZBu+2CDOiuKU2PClBu+pEmfhpHHJ2Gbkb8w75w/nPjQ3/M1hbfeVfWp9mv9pv12/8Yd35pdn5Muy55wHi3NCBSGgS1APqDMPzmh7rgSB3qWveRxZOaNoe0vkVPVyetBEJM6JVmR+6oXeoQeeDOg9unpA9b7sJSKyiRkLb2NKRPoOnQSyolbw8WDw8SCzWPSPoyV/kTQmJd+fnPmlmbG/HMu8OZO7I9f+wfb4b8X1XfPnXfWduue8R5wSraYVTck22gy959rnbLmX527JRb4aCf/fMG4KBRWEgF4of3M+/dZ09I+i8c/FR74+oh5UicjoMuRLa5yQ6z3lVa9XN7TGCrsqoOvnk9HoMAJHA9r1mrZbK/y1IY1IhTktBdpuLfyP4fafaWcai/5J6Wh2yONy9s5s7LOx6J9Ek/cnW361RZqQWn+1Nf6bcWJEjLjEmcG8/V513zWOsHadljucm/vwXOITiWu+wPRb06HvhQiLyEKlYXDtaiJN/PGEkBU639opJSTf877J35kMPhbUu/S6b67xRJ8yoGTvrvxshA1UGOIQZ6/0oI3thueCRx6UI1+NFKLNM+TRO/UFF6FofVrouyEhd+3OgTwsh74XksYkaUzy/9v8VAppTPKd9I3+zajVaCkDChF5X/EmfzoZOBpY5srG7L3Z9NvSwqwgzojqQVUZUMgkIip51jdzbyb2GdysDyoPAX0Vo8XwP+OPfTJGRKFvh4io7Rfaxr40ZnQYaz5TJI1LZuvCXmRVs+vmz9QV96C5lzOVtXzi6rN8g7LRZdCRq+6KrffqymsLb9dUkjgtLtiho/7L9fmb8v5/8zt3VvUd92k7tcnfmYx9+kqqWhHLDtnyyPx3g7pPDX4vyHTmf9qfem9K26U5FxApryqBxwPF5xhtn839XJzGyhdQeQjoqxidhjx09VCGRY1faJz4/MSaV0BnJlv/FXfuYYdtITXf+RVn5wO6OH+LyYNy7q7c+BfHjU6j4+0dTuP67yDlrMNJRKI2H6ORr0UmPz+Zuy3nf9Y/d/+csd0wOg0rYrXf384sRozsOjv6v+aHU7yf8doBmxgxk5ktZuKXE/ouve4bdfp1evaNWWO7gYnP4BII6KsYXYsCmshzzrP9vdvXs1tmMxKp5B/gqXelmMlC3wmtZ//llL8x73thfuacMCs459zMNrPkTfA8w57UO1JNv92UqctwmTODma2ms1DJhmv8QuP4n49rj2tWzPKc98iXZeIU/724kBbMbWahKz1f+b9fQysPyi0fb5n+1PTkQ5PKKSXwZIAs8pzHiUFwBQT0VYxOI/jd4OJ2pq+rxydOiGbMlMYWHu3c7bnc63Nmg1lNAX1TPvjD+UNUGIM2OkqvasRUFv3jaPjrYe16zegwPBc8Wp+mnF3R+MZqiTOi/yl/5s2Z7e/fXvguzN6V5Qq3Q7aYXHrIglPj5xs3oySAdcIsjqvoHbpneON7T/KoXFhBqZi6Xw09EhKywgpniVXQ7C/M2nU29/L8zXnl1HzCFsaglwpoIqr/m3riJF+U9W6diLTdmxXQzu/a9gvbiv9SCRwJBH8QrPtG3ZWZ6QDVY8sF9OTvTQ79v6HFk3Mddt2VAdYNJI/JZluJ84TaXs17xht4KpC9y9XTPNR9avot6cnfn5z8/GTkKxFmzP89cc0edIHnksfoMXK35TavB01EzGTiHE7uQe3YKgFtNVgkkBkz7Xo7cCSgHioxbZZ7+TqHMpYijUrFPWh9pz7969NEZDVa4rSoDCj6DleveDf74Gzrr7QGvxes+5e60PeujMYwjXGFE5G+XfeMLPeXh+eSJ/kzyckvTGr7NEyQAFihrTIGPfalMWLke9YX+GFAmpByr8v5nl+4RoS2R3Pm1W445VUl8asJ5VXF+UM7f2s+e0eWPknCrEBE4syVyWpuM/NLM6FvheyQLQ/Ji0+fFlgNlpBc7stevizbPrvz7Z3q3pq6ZgdgU22VHjTTWey/xZLvTQaeDPhe8OVvzlsR6/I/XtZ6r1yEre5TS64IsX5iQmz/QPvMh2essEVE6vVq68da5WG57rt15AwUNLg0oLN3ZSf+14T/yJLTzgRVyN+YXzBHogSLuu7tEhPi5i07B1B7tkZAi0QWeV7zdL+xW5wVmcYCTwWGvzscfjgc/7144Y4n6j61cPprwzGNRf8iOv3paSIyOg3PoCf8f8PB7weJSMgKbliZviRmM7PRLEzbWCz0rdDkH04GH19ygwIBd4cAWKUt8ZmxGixxRiSiwgnA+i/Xd7yzI/TdkOc1T+GOJ+Z2U768iXfA8x/1SyNS/HfjQlZYuM6Da+/XYVHnfZ3LnAAMPhYkg/zHcGUHwMbbEmPQhbUjijmnqnwnfc4dT8wWU4xv+smr6BejmZ/IcFZNFxYuP7jMDNb5E53L3McAANZsSwR0YfW1xbwnvLM/P+t90aveoAaeLsfwqDOssQDTGfds1hySNXOW17jmZkhngE2yJQK6ZA/a4Rny5G/La7s1O2S3f6C9zIUVOItaODdkcQ8rZIlpTIkDqBh3JcImsZosz9klZuly6ry3k0Sa/chsBe9s5My0c1tA22F7+fENANhUW+LjZzaa0tSS2cdMxjTW8GeVvLORO2faWXXWcktYAMAmq/2AVverZovp8qvX3Hmtil1nC+naf4cAuFYNfvwmHppw7gE49ldjeq8++YXJ3B05MeHugHZlD3qTViYBgBWqwY+fvkOPfy5uB2xtjzb616ORv410v67b5TMN5BHZhctxWHWWmHL1FxtAbXPXWan1s0O2NCUp/crsA7OhR0Nc5KHvhIS827+HlDOKtkfjInfVF4ldZwsX3X7oAGpYrX389B2654In+IPg3H+a877obfq9JvenMxERJ/9xf/Zedy06iiEOgMqqtY+fE9DKq4oYF70vbsrKR5sk/H/D2Tdkh781PPehuUrXMg9DHACVVXMBvVN3bijXfn+7FK+mARxpTIp9Ktb4B40uWTjJ6DL0nTp60AAVVGsfP71H91zwENEyE5/djJmMy5VfqcMO2BMPTUS+GsENSgAqqCpTbBl20BYyVfytwwy21O24ymn2I7ORr0SKb54CAOVXxVm2mB2u+pNazGS08TetXR1jm6EeUkOPIp0BKqy642wBrVdTXt2sFffLRKfK9qCzd2cnvjgRfSi6cMVqACi7mhri0K7TlHPVHdDMqOQYtBW1Zj88u+3D28RZDD0DVF7t9KD1XXruDbklV62rEsys5Bj07Idn6/+qHukM4BI1EtC5O3JTn53yH/N7Bqs8oDehB81lvsJ/Z/WAGjiGm7oCuEWNDHHM/vxs6y+1VvX8DcfGTrOz/bagCpMPTZotZst/aVl+Yjj3caYyDD0DuEfVJxoRESMu8xpIZyJiBqONu29t4pcT8c/G7aAd/NegekBdvMHkH0ym35p2Hqu7VeVMdY/gA9SYqg+1qc9N5W7PSWM18qcAGbSBPWijw9B2a3Vfr5MHZaPLWPjTLsMKW8n3J81Wk4i06zVvfzVdHA9Q86o+oH3P+WZ+cabaJ28UbOyFKnad3f6B9uBjQXlQ1rsWLmeafF+y/q/rg48F84fyRKQeUJVXauQwAtSGqg9o/1G/elD1DFT3ucGCjZzFwYhsYiYjInlENtvNBT/XejXvKa/3lFfbrxEjo82QxzZueAUA1q3qA1rICf4f+5WztdL140QbtCK01WgV7iPDrPnczx3OWZH5W7dwD2caUwYUbbdWC9f4ANScqg9oItr2C9uqa+G68jC2G/LIlR6xkBWMNiP+u/HZB2eJiEvc6VwzjXGJZ34i4/+xv2K1AkAptRDQsFjivyQSv5SQh68EtO+Eb+zLY02/26TuVRMfT+h9ujQ6/60W/uew2WT6/w0BDeAu6HjWmvR9aSto5W/JM515Ll0Zmq//3/X1/7ueiLynvMn7k7MPzHrOzf809O1Q6NtYGgnAdRDQVSn9k2m9T5cvyN5TXmf964Lke5LShFT/1/WBp0pfEyjOiOF/DF86cin2o1hZigWANcIQR1XK3Z7jEs/flk+/I13crvfo0mWp5eMtS6WzQ5wWvS97iwdAAMCF0IOuSkaXEftgjEt89G9Gi9vTP5Ve4Sr7zZ9uLj6FCAAuhB509eEKZzojm5jOmM7sun+/h6FAuTtz/qdXdK7Pc8njzOIAANdCQFcfre/KnGX/s/78zXki4l6efHfSd9zHLMQuQI1AQFcf7TpNGfj3gH7an70jS0SzD8yqB9XIVyMVLQ0ANhICuvqY20zp8vzJA+c6QCIythsNf9GAC3YAagkC2nUYZ8v/s5gtpjTx70HMyTPsMboMs7WoEQBqAj7S7qMTlznTrhpKNtqN1M+kmMrq/qXObDaLe8q+Z3y5m3Nc5DjpB1Bj0IN2nZI3Vcm9LsfyjKks/Y40lzkzrmSx97RXO6jh3CBA7UFAu07JJaHtsK2cVkLfD2nXaQuWu/Nc8ORuy2F8A6D2IKBdp+R9Y62wJaZEaVzSd+lC6up/NYukKalw2hAAagYC2nWYWeK2hHbEFudEIhKSgjyx8MdKvyJfxmWBALUG3S7XKd2DDllOx1l5VZGmFv6rhR8OC2l81wLUGgS0+5S6b6wdtp2A9j3nWzDBg4g8F2vkjl8AUAwB7TolTxIWZtEFfxCsRFEAUAH4u9h1NvK+sQBQzRDQrsMMRhixAAAEtAsxg+VvyGfuzVxpEonZuA4FYMtBQLuPSepBNXtXttBg1VlCEv9SAFsOThK6DtOZ0W6wFsZFThIxjdl19sKLUwBgC8DH3nWYyYx2w4yayfuTcx+aI+cywqRY6boAoNwQ0K7DDGaHbN+LvrmfndN6NXImQWOIA2DrwRCH6zCDiTOi0q/YPttsNfWd+sxHZuq+VVfpugBgSYIg3H333bY9f4PQqampU6dOEVE0Gt21a5eiKKlU6syZM5qmraoRAe0+BkkTUuDJgO9F3/THp5P3Jxv+qsH/byu6FSwAVIQsy4ZhHDlypLhRkqR9+/a99NJLrpUsqwAAD1RJREFUqVSqp6ent7f31KlTK28kDHG4EDOYNCl5Lnm8L3o9w57snVn/caQzgKtJkmSa5oLGaDSaSqWSySTnfGhoqKmpSRCElTeSm3vQjG3Rmb+CJcgTsvPyPa95yLkJ1hY9GACVJIqiLC9cJ9I0Tc4XXusrSZIgCDfeeGMwGEyn02fPns3lcn6/P5fLFZ5lmqbX6115Yy6Xc2lAc849ni16OZ1sycqU4rz8hqca7GftLXsoACqIc75t27bGxsYF7YODg+l0ekGjaZrT09PDw8P5fL6np2f//v3Hjx8XBKEwKk1ElmWJorjyRnJtD5ox5oyRb0GeJzzyMXn+5Q8SEWm0RQ8FQAXl8/lz585lMplrb0qUzWYHBgacxxcuXOjs7FQUxbZtSbqSsc4wyMobCWPQbmQRUzGiAVBNFEUJBALOY2d80rbtbDYbDAYLGwiCoKrqyhsJAQ0AsH7BYPDQoUM+n48x1t3dnUqlDMNIJBLBYLC+vt5pjMfjnPOVN5JrhzgAAKpIIpG4fPnyTTfdJAhCKpXq7+8nIsuy+vv7+/r6PB5PMpk8ffr0qhqJiPX09FTwVS3l8OHDzz33XKWrAICt68CBAysfg94kGOIAAHApBDQAgEshoAEAXAoBDQDgUghoAACXQkADALgUAhoAwKUQ0AAALoWABgBwKZde6i3L8u23376SLffs2RMIBGzbZoxxzgv/7/x08bKtqxIMBhdfR1S88wWPCy2Lf1R44Kww66yEUrzZSlxze0VRLMsyDGMlu3UOzuKCF7+iQCCQzWbXeTBLKt75Gg5myQcOSZJEUVxmTcQVHvySm/l8Pl3XLcsq3oxWdjCLty+p5LtuJZZ5Zzo/9fl82Wx2DQdzqWMlyzJjTNf19RzMkpv5/X5N02zbXupgLmi55j6LvfDCCyvZTBTF4n/iinBpQB89enSFW3Z1dT3yyCPZbJaInM9A4cH6l/z/4Ac/+Pd///eL2wufN+d32bbtLOda/OYu3qbYtm3b9u7d+8Mf/pBzzjkXBGHBNos/zCtvvOOOO8bHxy9cuFD8SXN+xYJiSlZYvPPiF/iBD3zg4YcfLl6vdqMwxu6///6vfe1razuYhe0XH8ydO3e2tLQcO3ZszQdzwY+o6GC++c1vfuWVV8bHxwtlrPxgXvOdudS7biUWFFA4mERUV1f3pje96Zvf/OaCd2/hKc72C17p4uNQfDT2798vy/LJkycXJPtKvmIXH5zi/7zvvvuOHj06OztbaFy8/do+5h/84AePHTu2qqdUEIY4AABcCgENAOBSCGgAAJdCQAMAuBQCGgDApVw6i2NVCqeAi0/o0+on35Tc81I7KbQvPm1dPLWAFp2kXjwDpORJ7QVnqEvupNBYvE+n5uJinPbFv4iWnc9QfDBt23YmPK3tMC6v+CBv4MFccBzWcDAXT0soPpiLj8YKDyZd6525zLtuVRa8/ELlyx9M5/FK3pnFR6zkNlR0bBeXVHjKUu/MQpELKlznx3yT3sabxKV3VFk5v9+fz+c3aec+n2/Dd84Y83g8ztRRWvR2WWrOUMl38OLNZFl27hBc/MRC0Ky55s04Dhu485JJIQiCJEmGYZTcfkFLyYOzuLFwMIv/BTfc5h3tley58G5ZyTtTkiRBEBYc5NUezJLb+3w+VVU34wj7fL5cLrfhu90kVR/QAAC1CmPQAAAuhYAGAHApBDQAgEshoAEAXAoBDQDgUghoAACXQkADALgUAhoAwKXE+vr6Stdwlb6+vgMHDuzYsWN0dHRttzOIRqPOHhoaGmZnZ52dMMZ27dp1ww03jIyMbNTC84yxN73pTT6fb2pqqtC4e/fugwcPXrp0yYU1b2DB5Sx7gWu+Q0Kh0M033zwyMlLxUgOBwL59+3p7e7u6upqbm1VVXfMlgptdv/PekGU5kUg4LU1NTbt27ZqcnHRhtYWCu7q6uru7Ozo6IpGIqqrL3EBnebFYzCk4Go3Ozc2ZprnhBa+N63rQZ8+e/dGPfrTmp0uStG/fvoGBgaNHj6ZSqd7eXqd9//79lmVt+JWjlmVFIhFRFJ3/ZIw1NDSs9t+ynDVvSMGOMh/qgjW8QypV6oEDB6ampo4dO3bkyJHh4eEDBw7IsryG/ZSnfsuympubA4HAOvdTzqP94x//+Iknnjh+/Pjc3NwNN9wQDofXsBO/39/X1/fKK68cOXIklUr19fVtXsGr5fbFktra2jo7OxljqqqePn1aVdVQKLRnz57p6em6ujqv13vu3LnCdz4RRaPRVCqVTCaJaGho6PWvf71zy5+LFy+m0+nu7u6NLY8xlkqlGhsbnY6G89tjsdjyxWcyGUVRTp48Wf6aV1vwrbfeOjg46Gzc1NTU09Pz7LPPlr/spYTD4T179jzzzDMLHi9QkVIZY36/f2pqyvmET05OZjIZp2vW2Ni4c+dOURTz+fypU6cMw6irq9uzZ8/s7GwwGJQk6dVXX52bmytz/Yyxixcv9vb2vvjiiwt+FIvFnDUhdF0/e/ZsNpu95ZZbBgcH4/E4ETU1NXV1dT3//PPlrLaYpmlDQ0OSJO3atevEiRNU6ggTUWtra09PjyAIs7OzZ86cKfRLOOf9/f3/f3vn+pS20gbwTUgIQUAuAqFSra0gl452tJfp2Hb6r3cq036oOlqEChanKogpV2kIgUDeDzvmzaC28ZxjLuc8v0+YWfDHuj7sPrs8wfeB5Hle/XcwciTfhuVm0Fpoml5ZWdnd3c3lcv1+H/eUoigej6fT6ezu7lYqlalaIm63W62EIsuyLMsulwsh1Ov17sOQIIh6vc5xHP4xGo2qS8Lb5N1ud6PRUKOzwc53FdY2DofD2gWvwV39dzBFVVGURqPx7NkzjuMYhkEI4XvjMgyTzWbz+Xwul2s2m5lMBl2N6kajsb29fXR0hC8a7E8QRK1Wczqd4XBYe93lcqXT6b29vU+fPvE8j914nlebRSIRHKmNtL1OrVabnZ0lCOLGHmZZNplM7uzsbG1tURS1sLCgPlEURTzJoygqHo+rCUArjGRLB+jRaPThwwectmu32/jPjBAaj8e4Q/v9Ph76KuotMtWW6nL+nmg0GrOzszRNOxyOYDDYaDR+L48Q0o5m453vJFyv14PBIEVRBEFMBWjju/ovY5bq/v5+rVabn5/f3Nx89eoVnprNzc1dXl7i+drZ2dnc3Bwu6ibLMh7VrVbL7XZrkyGG+SuKUiqVksmktnZdKBRqt9s45larVZ/PR1HUxcUFNicIQl2QGWw7Bb6ZPUVRN/ZwMBjsdDqiKCqK8vXr15OTk6mnJxKJ9+/fsyxbqVQMsNWJ1VMcCwsL4XBYURSapgeDAb6obg1NFZZFCE0mE4r6/5uiKAovKu8PRVF+/vwZiURkWW61WtqheaO8LMtTWS2Dne8kLEnS5eVlJBIRrzBL++9glupkMjk9PT09PXU4HOFwOJPJDAYDiqL8fv+bN29wm/F47HQ6EUKqkqIo4/GYpmm1jKeR/u12u9frLS4uCoKAr0yZTCYTmqZFURwMBnjG2u/31eFtsK0WlmUnk4ksyzf2sFbjxr3lcrlcqVTi8fjGxsbnz58NENaDhQJ0OBwWRfHXr18kSaKrLYtoNPrlyxdZlmOxWCwW++OLCIIQDAbxY4ZhSJLUDp17ol6vLy0tybJcrVbVi/rljXe+k3C9Xo9Go/1+f2pD33jt6yNE+wmtDQpTmDIqXC6X1+vF6+XxeFyv12OxmNfrHQ6HrVZrb29P29jpdKpTZpIkHQ6Htsiywf7lcvnly5dHR0f4x+FwqG6+kSRJkuRwOERXWQ6SJOv1uvbppvQ2QigWi7XbbUVRbuzh0Wik9jBePqpWXq+Xoih82uTk5GR5eZlhmL98IOSfxUIpDr/fn0gkHA5HLBYTBEGWZYZhBoMB/kjkOE7PQqnZbHo8nkAgQBDE0tISz/MGbMJ2Oh2WZT0eT6vVUi/qlzfe+U7CPM/7/f5IJDIVoI3Xvj5CJEliGAarRiKR255oyqhwOBzZbDYSieCPkEAg4PP5ut1us9mcnZ11u90IIZ/Pt7KygtuTJIlzINFoVBAEbYA22F8UxWq1+ujRI/W3BwIBlmURQvF4vNvt4hnoxcVFMBicm5ubStkZ39s0TS8uLs7Pz+MPlRt7uNls+v3+mZkZgiBSqZS6s4IQcjqdT58+xW+Q47jRaGSR6IwsNYM+Pj7OZrPv3r0TRbFQKKCrHarXr19LkvT9+/e1tbVEInF+fv6bFxmPx/l8PpVKOZ3Obrd7cHCAEKJp+u3btwghgiDwg62tLTwL+EdQFIXnefVOQhj98sY76xcul8uj0ajVajmdzql5kPHa10eIJEnVavXFixeDwaDdbt92qN+UUSEIwv7+/uPHj9PpNEKo3+8XCgW871QoFFZXVx0OhyzLh4eHuP1gMPD5fE+ePFEUpVgsmut/fHysLqEkSTo4OFhbWyMIAj/G1/v9Pr4yFc6MtN3c3EQIKYrS7Xa3t7dx9w6Hw+s9LElSsVhcX19HCLVaLW0OutlsnpycbGxsUBSFT33cn/BdgTuqAH8mnU73er2zszOzRf61eL3e1dXVXC5ntghgLSyU4gCsyczMTCgUmsozAgBgABZKcQAWZHl5meO4b9++WfaEBgD8i4EUBwAAgEWBFAcAAIBFsXSKIxwO4zOJvV6vWCzi7zKFQqFEIsEwzOXlZaFQwDvI+luCMDib4mw7cxup2lRYD5YrN6rCMMz6+no+nz88PGRZ9uHDh+fn5xRFPX/+PJ/Pl0olt9vNcRzP8/pbgjA4m+JsO3MbqdpUWCeWTnEUi8VOp4MP7eJj52qhLEVRfvz4gb/IdKeWIAzOpjjbztxGqjYV1oMlJG5EkiT1q2u40Am6pVCW/pYgDM6mONvO3EaqNhXWiXUDtEooFIrH46VSCf2pUJb+liAMzqY439XHdHMbqdpU+PdYepMQIcRx3NLS0s7ODs7Z/6ZQlv6WIAzOpjjbztxGqjYV/iOWnkHjOzXs7OyoVS4FQfB4PPixtlCW/pYgDM6mONvO3EaqNhXWg3UDNE3TqVRqb29Pe97lxkJZ+luCMDib4mw7cxup2lRYJ9b9JuGDBw8ymYw2MfTx48fRaBQKhZLJpFooazQa6W8JwuBsirPtzG2kalNhnVg3QAMAAPzHsW6KAwAA4D8OBGgAAACLAgEaAADAokCABgAAsCgQoAEAACwKBGgAAACLAgEaAADAokCABgAAsCgQoAEAACzK/wCJWNJLeSvV7QAAAABJRU5ErkJggg==\n"},"metadata":{"tags":[]}},{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"sWhtSV4BCEqk"},"source":["Now lets take a look to the Moving Convergence Divergence (MACD), on top we can find the\r\n","plot of Bitcoin and below is the Ethereum one."]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":977},"id":"PHLqpCly1rF4","executionInfo":{"status":"ok","timestamp":1613936647460,"user_tz":-60,"elapsed":2212,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"b7202655-9d04-4697-e779-6078112ff28f"},"source":["%%R\n","`BTCUSD` %>% chartSeries(TA = \"addMACD()\")\n","`ETHUSD` %>% chartSeries(TA = \"addMACD()\")"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}},{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAgAElEQVR4nOzdd3hkV30w/nPb3OnSNI1GmlGvu9L2tdfrsm7YxphiQjMBXhMCMWCSvKRCXlJIwo/8CAkESEJwEkjAvI6DA8YV2+vVFm+vKqO2kkYjjUbTNL3cdt4/7jIrpBl1aa6k7+fx42fm6Nwz3xmtvjo69xSioaEBAQAAUB6y1AEAAAAoDBI0AAAoFCRoAABQKEjQAACgUJCgAQBAoSBBAwCAQkGCBgAAhaJLHQAAm5Ldbn/88cflxz09PS+++GJJw9kITz75ZDQa/eEPf1jqQNbRJz7xCavVihCSJOlrX/taqcOBBA3AKkxPT1++fDkSiSCETCbTfffdV11djTGemprq6uoKBAIIIZ1O98ADDzidToSQ1+t99dVXM5nMCurPsUC1jo6Oe++9V6PRPP/88263u2Dky71cp9PpdLqBgYGNf6fFQirW7Bx2u/3IkSNVVVWSJE1NTR0/fnx6erpYsydOnNBoNHfffbdKpSr6Xd9AkKABWLlEInH16lWEEMMwH/zgB8vKyrxeL0EQDQ0NFRUV3/ve9ziOe9e73lVTUzMxMYExbm1tZRjm2WefXW79+S9dsBpBEO973/vq6+uz2ezCkS/3crvdjhAKBAIb/E6LhbRAs7Or6fX6D33oQyqVamxsTK1WNzQ02O327373u4IgFGx2cHAQIXTbbbcpJEHDGDQAa6C6upqm6f7+/qeffvpHP/rR9PS0Xq+3Wq0mk6mmpiYQCDz99NM//vGPw+FwQ0ODwWBYbv05L7dANaPR+PTTT4+MjCwQ7Qout9lsCKFgMLjB77RYSMWanXNtRUWFz+d78803n3322R/+8IeRSESn05nN5iV+UCUHPWgA1sDY2Ni3v/1t+TFFUWq1GiGUy+XkjufU1BTGWH5gsVgcDsfg4OCy6icSidkvt0Cz3//+90VR3LNnzwLRruByu92OMQ6FQhzHbeQ7xRgXDKnYBz4n7JGRETkFEwRht9v1en0mk5mZmSnWrNJAggZgLZEk+cgjj5SVlfX394fD4draWoRQ/u9u+YFWq11xfZlcUrCaKIqLBrmCy20228zMzOwBhI15p4u+oznNFqxTVlb2xBNPIITGx8dfe+01+bWW8kGVHCRoANaMWq1+9NFHa2pqPB7PSy+9NL+C3FuU/7+s+m1tbQcOHJALX3755YWbnW+Vl9M0bTab5fHZDX6nxXJusWYLXs5xnNvtNpvNNTU199xzz3PPPbcpsjOCBA3AWtFoNB/+8IetVuuFCxeOHj0qZ5x0Oo0Qkv8ARwixLIsQSqVSy61fXl5eXV0tF6rV6gWaLUiv16/mcpvNRpJkMBjc+He63A98zjuVH2Sz2eeffx4h9N73vre5ubm9vb2np2eBlpVDuQm6rKwMIRSLxUodCACLkycbWK3WY8eOnT17Nl8+NTWFEKqsrCQIAiEkzwmbnp5ebv3h4eELFy7kq8k/HfOrFQvvwoULq7k8P4Vj499pMcWanfNO77jjjltvvfXSpUtvvvkmQkiSJIQQTSs3782h0EAJgjh48CBC6I033ljgLy8AFKKzs1OeaetwON7znvfIhd3d3devXx8eHm5qanrssccIgjCZTAMDA4lEYteuXcuqP+flYrFYwWoMwxw6dAj9MqW2tbVZrVa/3z80NLSay+UpHHIG3+B3WiwkjUZTrNnZlw8ODh46dOjgwYN2u52iKKfTyfP82NjYEj+oklNoggZgczEajQghkiRbW1vzhRMTEwihl1566YEHHqipqcEY9/T0vP766yuoP1/BaiqV6vDhw/k6LS0tLS0t165dm593lnW5xWLJZrNy9tzgd1osJDmYgs3OFggEnnnmmbvvvru6uloQBK/Xe+LEiWg0qtPplvhBlRYBR14BsALyUu/h4eGf/OQnpY4FrLEnnnjCYDDAUm8ANjeDwbB79+5IJOL1eksdC1gDLS0tGo1GvmOpBJCgAVg5u93+0EMP9fT0QILeGu688878ZkmljgUhGOIAAADFgr04AABAoSBBAwCAQkGCBgAAhYIEDQAACgUJGgAAFEqh0+za2toUcqIBAGB7whj39/fzPF/CGBSaoK1Wq8JPOgAAbG01NTUsy0KCLkAUxQX21gIAgPVWWVlZ6hBgDBoAAJQKEjQAACgUJGgAAFAoSNAAAKBQkKABAEChIEEDAIBCQYIGAACFUug86NWjCOz+veG7vlvvT6zkPb63I/5cj3H20y+/LZB/qqLwLd9uiGapd7Qlfuf2sEUr9k6zX3rN7plhitXMlzzclnzytrCKwhMx5ku/qPDGGITQXfXpPzwStOvFa1PsH79SGUxRCKH5jecbudWV+c8PTjz0b7UjEVWxy6uMwt+83b+rMjceZf7wZbs7oJRDIgAASwQ96AIIAv3+naHZJc/1GDv+vkn+71PPVZ0Z10azVJ2J+7P7g0/+zHHLdxp7ptV/fn+gWM18O3a98OX7pz/1XNX9T9V1jWj/6sEAQsjASl972P+lX9gPfae+Z1r9pfsCCKGCjctUFP7iPcFQ6kazBS9HCP3tw/5jI7r932r494vlj++PrvNnBsAmsGvXrl27dpU6imXYdgn6/Z2xX3xi7M1Pjf3wgxMOg4AQYij8tYf9b3xy7M1PjX39HX41jb/z7imLVnzxcY9cYTaKwF+8J/RXR60IIV4kfv/FysEQK0roF0P6ehNXrGZeTTnvT9ITMQYhdMqja7bkEEJ31KV7/Oxln1rExFPnTfc2plQUXqDx37o18sawbiZzI0EXvNxZxjvL+H+/YBIk4rke4x+9bF/7jxKAzebUZ0892X6q1FEsw/ZK0Gat+Gf3Bz/+bPU9/1LniTKfPhRBCN3XmLLqxPufqrvve3XBFL2jIvsnr1bwEvGO79dOzRseedeOxFBINRhiEUKTceb4qBYhpFdJH9oVO3pdX6xmXn+QNWvEnfYcQaD7m5KnPFqEUJ2JG4ve2BkqkSPjWbLKyBdrvM7EPdiS/O45c77Ngpe32XJjM8xfPhB485Oj//GByQbzr/zyAGB7imljGhQrdRTLsL0SdCRNHfhW42ScQQidGde6ynmEUDBFNVm4I/UphsJfPWa95NMs0MInb5n53jnT7JI/OhK69NvXa8r5b54yL1wTIZTIkV/tsv33R7znPnv9Q7tj/3DKghDSMDjLE/k6WYHUMLhY419+W/Arb9pyws36BS83qqU9Vdmfu/X3PlX/5nXtP7zLv9TPCICtyOVylTqEldheCZog0CcOzvzkI97//oj3c4fDJIEQQhcnNV950/abB2dOf2bk/3toWsMUPc23w54lEOr71bttf9Nl3f3NpteHdT/84CRBLFQTIdRizf3vO8L3P1V38NuNX3nT9tT7fCSB0hyhVeF8HS0jpXmyYOOP7owHktRbHu3sNgtensiRoxHVmXEtxug/LpvqTVy5Wlz+BwbAFmGxWEodwkpsrwT9QHPy7a3Jx5+tft8PXf94+maH9+UB/Ueecd77L3VVRuHX9xT9C+jextSbI7r80zZb7lBNGiGU4YkfXCxvtuasWrFgzbzDtZlLk+rJGI0QemVQ7zTyFXphJKJqsebkCna9oGGkiShdsPG3NafurE+/9emRtz490mDhf/zYxD2NqYKXT8QYI3szIxMEEjExLxwAgKJtrwRt0wmTMTqRI41q6d07E1pGQgh9bF/0c4fDBIFiOWoqTmOEBImgCDy/K73DnhsO3zxGoEIvfu3h6ZpyHiH0rh2JSJoKpamCNRFC72xPWHXiUEi1rzord2Zvr02neDKYpE55tE0W7lBNmiLwpw9FXh0yiJgo2Phnfuq49TsNh/+p4fA/NYyEmcd+7Hzzuq7g5e4Am+SoX+uIEwT6yN5of5BN5LbX9xqAOaxWK0KIYZhFayrHlp0HLXvzk6P5x598rvqlAcO7dyRe/YRnKk5/85TlO+/2/dGR0PfOm7760PSxT41KmLg2xf74SlmaJ894tSd+a/QTP6m+OqXOt1BpEEKpm5/Y8VHtDy6W/+D9EwZW8saY3/m5A+PCNRFCX7g7+LnnHac82meuGp/9dS9CKMFRn/2pQ8REiiM+/0Lln94XtOnES5NqecbFAo3PkeLI+ZcjhD77M8c33zn1hbuDwxH2916AWRxgu3M6nVfQlR+M3I7QcKljWSqioaGh1DEUcNttt507d67UUQAAtog9e/YghF74vRce+fojV65cWcolu3fvHhwcTCaT6xzaQrZ4DxoAABBCU/unPLd6qn3VpQ5keSBBAwC2vsv3Xj7ygyO6QIFb90oGN44AAFufJElydo7H46WOZRkgQQMAtpGRkZFSh7AMkKABANuFKG6y5VqQoAEA20V3d3epQ1geSNAAAKBQkKABAEChIEEDALa4tra2UoewQjAPGgCwxanV6sUrrY7D4Whvb88/JUmyq6uL53mLxdLc3MyybDwe7+vry+VyCKGChQVBggYAgNWampqampqSH5vN5vr6ep7naZru6Oi4cuVKPB5vaGhoaWnp7u4uWFisWRjiAACANUMQREtLy8DAAELIYrHE4/FYLIYx9ng8NpuNJMmChcVaU24PmqaVGxsAYBMhfmlZWYWmaavVqtPNXR0ejUYXGJSorKxMpVLyFktarTadTsvlgiAIgqBWqwsW5kvmxrD0cDcSLra3JgAAbAiWZTUaDc/zy7qqrq6up6dHfkySpCTd3FZeFEWKogoWFmtNoQmaIAhBmHuiNgAArAD+pWVlFYxxOBwOBAJLv8RoNCKEEomE/FSSpNl9dpqmBUEoWFisQRiDBgCAtWGz2UKhUP5pKpXS6/XyY5ZlSZLMZrMFC4s1CAkaALAtTE5OrvdL6PX62Rv8h8NhvV5vMpkIgqivrw8EAnKvfH5hsQYVOsQBAABrKxgMrvdLqNVqjuPyT0VR7OnpaWtrU6lUsVist7e3WGExkKABAGBtnD17dk5JOBw+ffr0UgoLgiEOAMAWF9wRVBPrvphwPUCCBgBscRceuWD9DWupo1gJSNAAgC1OFEXELV5NgSBBAwCAQkGCBgBsept3Q9GFQYIGAGx6G7ChaElAggYAbBGtra2lDmGNQYIGAGwRGo2m1CGsMUjQAICtwGKxlDqEtQcJGgCwFbhcLomRTGX6UgeyliBBAwC2iKO/e/QfHhkvdRRrCRI0AGAriLliHOKQUPhokk0KEjQAYCs4/eHTe4/uLXUUawwSNABgKxAEwXHRMb/c5XJtfDBrBRI0AGBLmXPE36ae3QEJGgCwRYTDYYRQZ2dnqQNZM5CgAQCb3sThCZZmvV5vqQNZY5CgAQCb3rXbrx359pFSR7H2IEEDADY3giAkSVKlVAghkdS9p7YPbZXtkyBBAwAUp7y8fM69vgVk/y5bEa6QH3/DfU+jeoS9lX3wQKVc0vtor4EzrEuU6w8SNABAcSorK1Uq1RIrB63BW75/y+wSz+96PlR7BiFUVVU12jB65FubdfQDTvUGAGwFo6Oj+ceCIAgCQghVVFSULKC1AD1oAMCml0wmY7FYsa+KoriRwawhSNAAgE1veHi4YPmJz5xouN7Q3d29wfGsFUjQAACFMhgMBEEs65KhoaHZT2Oa2I6f7ljToDYUJGgAQCm5XK5iJ6E4nU6WZZfVWiqVWouglAISNACglFiWpenCsxUkWmprrmcYZoNDUg5I0AAAZWH3sTsqwiwlnf/N8x/vPG1ic6tp7fr162sV2MaDBA0AUBb/h/y3OPqMdCqdS3O5DIGklbXT2tGKEEokEmsa3YaCedAAgJLR6/XzbwPyPC8IIsZ4ZW3SNE2SEkLS6T8+3exuzqDMqsNcErVavXPnTqPRmMlkent75V8MFoulubmZZdl4PN7X15fL5YoVFgQ9aABAyWQ+lnnbrsFK3SI5dOnLvhFCP508uOutXQihNE63vti6qviWo6OjIxQKHTt2zOPx1NTUIIRomu7o6HC73cePH4/H4y0tLcUKi4EEDQAomWnDtI6YNuuIYvcJZW1tbUu/VTgQtThPOdciumXQaDQajWZ8fBxjPDU11dvbixCyWCzxeDwWi2GMPR6PzWYjSbJgYbFmIUEDAEopQFe8rzPeaBHmlDc0NOQ7zrmyXF2VeYFEVkxPT88ahLgEer0+nU63tbXdcccd+/fv1+l0CCGtVptO3zjEVhAEQRDUanXBwmLNKnQMGmO8nefWALBNkCT5SsLRJA0zpMgwN/IUQRAkSVIURZIkQRIMw1z42IX/ewL/6Qu2mXSBsQ6SJGenC0EQVCoVSZIkiQiCWHEmIQiioqJCq9XOKff7/dlsdk4hTdNGo3FkZMTtdtfW1nZ2dp45c4YkSUm6eYdTFEX5Tc0vLBaDQhM0QRArvkUAANhE8CyzC6++bcwgGUgpimmc43IcJ2FJxLhALptzbX9/f2dnp1y2mjSCMeY4LpPJzCksuLOHIAjpdHpmZgYhND4+3tTUxDCMJEmzh25omhYEoWBhsRgUmqARQgsEDQDYGiRJktOrKIr5H3m5xGOb6vjZbYTx/MhfzLi8LkIcV6lUQmLuhIf29vYxPDYnXeQT/irTSDQaDQQCS6mZzWbndNUxxqlUymw2y09ZliVJMpvNFiws1iyMQQMASimTycz+k79ABSHrOuEiMdnZXDm779ne3k4QhFqtXu5+HeshkUgIglBVVYUQcjqd8tNwOKzX600mE0EQ9fX1gUAAY1ywsFizyu1BAwC2g1AoJNgW7+deSbS9r/by6SvlMeFGtzJXm7uLNIR0nBISNELo6tWru3btamlpSSaT8iwOURR7enra2tpUKlUsFlugsBhI0AAAxaFpmqKRKN5crnJmunqvwY3Qzc7mmV8/8+WX8UOPDHee6gyj8OzLvV4v2rgJ0DdkMpmzZ8/OKQyHw6dPn15KYUEwxAEAUJyXky2tx3ZPX5mePfoxZyiA5/kAX2YIGF1vueZcHg6HEUIK6VmvBvSgAQCKM5LWl3nKpvkb/eJgMJgZyeCGuWO13x+95dBw4TlqPr667aoxgTbxRhwIetAAgFJZ+gzlSCTC83zBL4miOD4+Pr/8xyN7G19rXHlwygAJGgBQGi6Xa/7R3flxiUwmM3/GsV6vn1PS3d0tD2hsSZCgAQClMXuM2GKxyIenMJ9j9Fo9LdI+n2/+LGaXy2UwGPJPvV7v1l7RBgkaAFB6Op1OnuM8YZtofaFVF9EVrHbx/X1ffGBGzRD19fUIoUgksqFRbjhI0ACAEqPV+r0VEZP6xihzPB4PhUIcxyGESJIkyZsdbZ8lYCIDFCEajcYtMEljUZCgAQAl9vTwLh0OaokbMy6CwaDf75cHoE/4HE2X27S5uTsWnf/IeXvQTuKFMtgWOEAWEjQAQLn+55JoPV2F5m1WETKFdj+7GxXYtuimoaGh9QtsY0CCBgAo2pzN6vImJia29h1CBAkaAKBwbrd79iRoiqJubTEghOS9Pbc2SNAAgNLw3+FnjAxLsn6/f+n7gr4U7vzYzjGSWKTv3N3dveoASw8SNACgNMbt467jLuOoMZFILGWwgqZpmqbccTO/hGxecFv9TQf24gAAlAbGmJCWMVXuBd++Pc8jVXbu4sMtDHrQAIAS0LXoGDWTyWSKbbIx39GrYcP1MrTF7wv+CkjQAIAS8P+avzJaKQ6Isw98qqysXODobvkw7PHx8S0/eSMPEjQAoAQ4jtOOapnEr2xoZzQaF0jQsmQymSPLtYSOwLCSEAAAFOZ7g4esT1SguefHbkGQoAEAm88qj+veLCBBAwCUYuzBMS2jZSV24WoY4+2wUxKCBA0AUI4Jy0TjK43qoHrham63e2tMc14UzIMGAGwa8r4c2yQ7I0jQAACFsNvtFJUMhUICV3R8ua+vb/vMsUMwxAEAUAiNRkOSZCKRWKCDvK2yM4IEDQAAigUJGgAAFAoSNABAEVhqu9z6WzpI0ACA0gth5wM1HrOWoCmYuXATfBYAgNJ73VvTG61q8ZFe31QapUsdjlJAggYAbDSXyxVn4jMzM2T65h/xoayGzhFIKmFcigMJGgCw0XJNOUbP5HI5RmAWr70ZkCR57733StKNXy/BYFA+c8tisTQ3N7MsG4/H+/r6crlcscKCIEEDADba8MHhqtEqYoJIoMTsclEU8zluc2EYhuf5rq6u2YU0TXd0dFy5ciUejzc0NLS0tHR3dxcsLNYs3CQEAGw0nudVARWZmZt/vF7v7P37NxGapudvsGexWOLxeCwWwxh7PB6bzUaSZMHCos2uc9gAAFBAIpEgMltnRzqapkmS3L9/v16vTyQS/f396XRaq9XKp8AghARBEARBrVYXLMyXzG12g8JfJoyxSrWNjoYEYFuhKCqTyWiRNv9jTpIkSZIMwyjnB58giMrKSqPROKfc5/PNz6eCIIRCofHx8Uwm09DQsGvXrjNnzpAkOXvERhRFiqIKFhaLQaEJmiCI7bNhFQDbjSRJkiTN/hnPb1OnqB/8ZDIZjUbnFHIcN79mKpVyu93y4+vXr9fW1rIsK0kSTd/MsfIwSMHCYgEoNEEjhBT1fQIArKH5uRhj7Pf7U6mUcm4SYoyTyWQkEllKZZZlaZpOpVIIIfkwAUmSUqmU2WzOVyBJMpvNFiws1izcJAQAbBw5JRX8UjabVU52Xi69Xr93716NRkMQRH19fTwe53k+HA7r9XqTySQXBgIBjHHBwmLNKrcHDQDYehwORzQaDaJgqQNZY+FweGJi4sCBAyRJxuPxnp4ehJAoij09PW1tbSqVKhaL9fb2FissBhI0AMpSVlYWi8VKHQVYtrGxsbGxsTmF4XD49OnTSyksCIY4AFCW+vr6UodQAvJNwlJHoTjQgwYAbBCdTldsAHp4eHiDg9kUoAcNgOJUVVWVOoT18TA6uHv6UJ3EMpB5lgQ+JgCUJVobPdDAljqKdeG1e4dV/OEqv0XLlzqWzQESNADKcuZDZx6rXdIdpE1B067p2K2zl9/YtW4op07lMJZguHlJYAwaAGURhAVWlm0mDocjk8l4j3g/kuKHU9rpqFouJwiCIAl5NQdYGCRoAMC6oGmaYRhBEHien71o8Hq2znwtyvsFCTbnXwwkaADAetFqtQzDIPQrm1f0hC3p7pwEc72XAMagAQBrxmw2l5eX559qtTf3qyMIgqIoSZI4joOddpYIetAAgDWjVqvzyTe8L7yXCXjVN85zcrlclUOVyf7k9ZHrpQtwk4EEDQBYFz6zT5LUjqRRT9C3tmiDunhywrDlNuFYXzDEAQBYS1qt1mq1qtVqhNAbORP1RuvJ7t2Yz/h2DA2phhKJxKItgDzoQQMA1kb53nKXiWdmVCHWSpKkH/kRQrFYLMuyku3GJv2ljnGTgQQNAFgbvh2++9nMwG52V4TBg7YJrRZlEM/zFEXBRkgrAwkaACXS6/XJZLLUUSwPz/MCJUQJAYsoaVeTZWRqPCXEhFAolKnOlDq6TQnGoAFQoqamplKHsCrdLUHJJzFnGJ7nEUKsWqNm1SpaKQfCbhbQgwZgvej1+lQqtQ3/uicJEiEk+AUxeGPK3eu+JtPPmdxoJI7iJQ1tk4EeNADrpba2VqfTIYQcDse22nrCTZrLrzdWTFXkS5IcHRqJx8OQnZcHEjQA66ihoYFhGKvVWmyj+oIoWnVf1SZezeEW1GJflcanyZdgjGEKxwpAggZgvUzvnb7VMUGTyxji2LFjB0Lon4eO7DX2r1tcGyEej0ej0fxTr9c7+ylYIkjQAKyX3kO9e8r6OjvqtMxSt57w3+tnaCbOsZt05DrNaI2CWc/pc7mcfHtQtknfTslBggZgXVRXV2OMw8h87QMjT7SdclaaljIM3X2o+66n7tqA8NbJUcHEv7KTPEqGw+FSx7IVQIIGYF2Ul5cTBPHDiY6WH3VIgnBXK0WSiydojLHvnG8Dwls/sVgsHA5Dl3lNQIIGYF2c/vTp6kC1t98rSdLL/r33WLstZZqFL8l8I+P0Ojf1bhU8z+dyuVJHsXVAggZgXaSEVN3rdUJCQAgNRs2iKNbW1i48lyNsCe/5rz0bFeC6SCaTcDNwDUGCBmC95HK5/NwyD1f3mba3aHJJU81GR0fXMy6waUCCBmC9jI2NybvXDwwMPO9plfj0EkahEUIoppjjoNRqtclkoiiq1IFsU5CgAVh3oiiOjIxgjJv3NXd0dCwwnWNgYGAjA1uURqOprKx0uVxarVar1S5QU6fTsSy7YYFtE5CgAVhfBEFgjOWt6bo+d/rzu05RxX/sMhmF7fpGIJIWy3V0bW2t1WpdoKK+Us8a2GUtmASLgk8TgJVY+t4abrc7f0xfjs+RQhJvnkXP4R1h3QMXD3b2sR3+NnNsgXc9fus4NuCKiYpiFcAKwG52AKxEY2Ojz+dLp9OL1hQEoWD5ptjxOStmc2J2wiJqVaM7QtrB2pZQKJTJZOYfy53jc9wAR17Y7n0+k8m0f//+06dPp1IphJDFYmlubmZZNh6P9/X1yXMQCxYWtN0/TQBWhiAI+c/5pXelSZKkZo1uJL6U+Kt3LXUJeAldpXWh850V1yoQgbQa1uVyORyOOXUMBoN8COE2R5JkS0sLx3HyU5qmOzo63G738ePH4/F4S0tLscKiDW5E1ABsXc3NzRrNIitQZJfjbbuP7kG/XGE3WTVZq5nKf7WxsXE9wlu9DCIC06TnOqFlVffVDCI1x1Jzf6/o9XqVCjbjR3V1daFQKL8JicViicfjsVgMY+zxeGw2G0mSBQuLNQgJGoBV4cq5zma7VrN4/7Frqha/UrS7bTAY5pRUVChiPFeSJEEQLo/lTg+mrjaGKu+8fG/VzWnaZrPZarVm7BlswgzDlDDOktNqtRUVFbPnsGu12vwgmCAIgiCo1eqChcXaVOgYNMYYpuwAJaMoSqVS1dXV9X2g74nLXDxoGZXYsrIyQRDkwUe5As3e/BEjSTIWi5EkybKsiAmSJEkS5f+dT94+yTBM/ilJkk6ns7QTotR9G4cAACAASURBVLVarb5CPylMhkIhlmUZhuNRRhJykkTm49RqtSRJDu0Y0graSndllN06ywhJkqyurrZYLHPKx8fH5W/xHO3t7YODg7O3vSZJcvZTURQpiipYWCwGhSZogiCK3VoBQAnknzGWZXNcjuM4m83qicatVitFUYIgjI6OSpIkiiKa9a8YYywIgryLEL7hxi3E6urqs7efrfn/a/L/7OUvl/angCRJiqLkHjRCSBRFjCX0yz41QkilUdEsIeUEnudRHFERaiv92EqSFIlEIpHInPKCUyEdDkcul5tTWZIkmr6ZY2maFgShYGGxGBSaoBFC828TA6AcGOPKykr5MU0zd7gi/VF0n3PsW/fN/PVF/PdeDcZYFEU061/xxMQEz/MY45mvxv6uS/NRjDFGoii6XK7+P+43BUz8pV/ZQBljTNP0onsPURS1Tj8s8i+hG29k1p7ON373IBR/IH6fPVB2nu2RpHg8TgbJLfZjm8lklrh3VUVFRXl5+V133YUQYhjmwIEDvb29qVTKbDbLFViWJUkym80WLCzWLIxBA7Ba/xluLUf+qd+frjaOxNmISpyhiQJ9ovwWySFz2KWelG8N6XQ6i8USMUT2/cu++Ze0t7cv+uqdnZ16vX5176AwoVxIOVL5aSoR0aoKNFoiFo1GY7fbTSYTzdK5bJrLZRBCoijO3qF/u7l69WpXV9fx48ePHz+eTqcvXLgQCoXC4bBerzeZTARB1NfXBwIBjHHBwmLNKrcHDYBi5W+7B/cEKQ3VOzYt1Is5XvQS1TaPQIrByb9O2ZN2WqAlNHdNCkEQJEFcjLXtPapB6GJzc7Nc3tfXt/QAZv9dnDPmjuy2v3hq7adUhxyhnC1nP27nEIcQ8sY16W7LnvIspcmYTCaEUIJJIIQYhmEYgs9t3+xcjCiKPT09bW1tKpUqFov19vYWKywGEjQAyyYfBSvR0vDO4bozddmpLKoPIYReCLnQ8358H04Qyf0v7vVmvHJqm+3kzK7OM/jYVA13egw9gHgdX1FkCPLc4+e+3qW6cmVuOftO9glB882Xb9yO63qi609flE72tK7mjiJN0zqdbk4LkiQJYYE7evMtZDKZcUy32JiHVcPHotWSWiJFcqaNZBtU9BAkkxtOnz6dfxwOh2c/XaCwIBjiAGDZpm6fure1f+AjF8xJM+tmheyNDJvJZBY9u/oHXXHXWzUY45mZGZIkuz7X9VvNJ+ZXCwvWmcoZp2pi/pfGHhs7WNabn5bHiRzGOP6F+JffsfKd8jUajc1mW0rN4Rldl68GY5G54xpfwZtCpjFLnApSzrecK351UAwkaACWzVPl0VM+Xkiaz5pjQ7H82Ovk5OSi47AcxwmC0NPTgxB6a6az5USLiEk1OXcm7PevH7r9B7cXbEEURYxxY2Njft7xz30HrOOWOl1wxe9ITUsuQzI/3KzT6aqrq+fUyWQy8tr0YEYTyOopicHjODGq0gtmQ8pA8EtdUQmWDv4qAWDlJiYm2AyLbozDkvLYNMkaWBVHFu/9dHd3yw9O+V01fvQN0tl5KjiFpmbXCYfDFmRBxoVefefOnVeuXEEIuaM252mEmueNhiyZQxN/wBnMiq0DE6lIJIIrsXpfYi+tfQvdnFKWTqfT6bRer4/H46eyFmLSaolETiJkSVqqVKoo2jozoJUDetAArIHXpztaX9mjDWsRQk8NHNz3r4cDPYH8ngwLCIVCvEROjU3NKfd6vfMrV1RU5FeITO2b2mkKzG5nZZGzLFtfX5+gqgYTjg82D723M03sJJIfSVaaZhr1gfn1k8mkvEsUx3GxWCwWi6XTaYzxomM7YAUgQQOwBsYThsipBJf65S45GXqBya2zTUxMLH27paqqKvOHzfIyh8v3XX6H46Jcfv36dbmdhXfeKYhhGMpBRd/GnQs4jk9WmdFEhs2kubTlskWSik5qnjMzLB6PBwIFsjlYJUjQAKwNjuMWmNBakLxvw7Im2F1626Xbnr4N/XK1iMvlQgjlF1NYDCvZDSOpTw47hyMzsax4Y82xKIoL76QaCoWmpub2+sGagwQNwEqkmPLaKZchO3eHI4RQMplcYqaWp7UVWytYcJRDFMUyb1n+aX6nCIzRSLb+ybauYq9FEETBM6uS9uTY/WOVocpwOByPxwmK1Jq1giAkEgmSpIpttDZ7TCOVSil/Y+tNChI0ACvxzEwN/4xJmLgxwU7eY0F+PD4+znHc6hc951ce5l368CVrxFps64afjbcL/NxcTxCETqdDCDEMU1dXN/8qjuISyQTxFCGPKXvqxMQDiarJqgBnTnmaKq4uvqNeIpFY4nposFyQoAFYoXQ6nU/Kw8PDszvCg4OD67FtkM/hO/Tvh3p6ehLYXBGqoGnVuSfOVU9U5190/iU0TdfX1y/QJi3QelIv389MofJszGUeMOeeyY36U12vxblji9/nBOsHptkBsPn8y+DhWwbR36SndgaMni6PvF5x/i5rBEEYjcb844JNkSOk5s9vHDgQTDHdVypIn09+utwhdbDmoAcNgKLlz9Kef27LlcFpXVC3wGQ+mqadTidWYcMnDbZP6m6vLLAucbZEIjEyMqK4k8W3MUjQACia0+mUJ8+1trbOLl+4e0sQRG1trURK/gPenS7v9d3XXdcM7dqhRV8Oes2KAkMcAKyE3++nUkUPwlhbWq22qalJfpyfXi0vRyw40wMhRJKk0WxkH2V9bYO3nCFZhqVTNDZglUrF87yuTKdpVdXGqAv9K18dDjYA9KABWAl56/0NeKFTT5z69I7zT+7pQwiRJNnf348Qkk9sQYVmeshUatXUvinfbl/T/xz82s+qbv3XW0PRdJa2/ckDadbJxv4opnnE/4GmIZVaZWtf0h5JoCQgQQOwPEtf+LcmZnQz/+Leb6ECRz9/tPbVWrlw4Z1FKYoyP2weuHPg9n++Xe/TB6K5qYGp697wK94mAzFjb7TPUDMNz9VzHJetyV7/6PUNeR9gJSBBA7A8DQ0Ns8+U2wAiJhFCaSLN/8fim+KzLCuohCvvuLLrhV1chPP5fBjjfELnWSKyK0LT9NjYGEJIkIRsbklL0kFJQIIGYHlGHxo1ESZtrsCqPCWwPWr9tUPlgiBYBi1DQ0P5MRCO4/pHg1cTLeqEuvPHnaUNEiwRJGgAliegD2iOaWivEm+wYxXV+/DlB6r6C341nuYvj9tn/nPGe96LEOJYxB5m89vjAQWCBA3AMsgD0JFIZNHDtjeehIlXfQd2vbpLFBfa+VNe4pjFGp/KaTAZOl7u2KgAwbIpsRcAgGLV19fHVCs/+m/FSFpjEBb/aXVHrLYZEbUijLHH41mgZjhFvH6xytWv285HcSsfJGgAliHeGqd0FE1t0A+OSOoMPIkQ+nv3PUd6yStooTNTMMbhcDibiqFWhArN9MjlcsPDw/Jjnuenpqaqq6ujUTgJRbkgQQOwDMN7hmu6aySvlEQbscHmN9z3HHEjhJAgLWk00uv1qqiFZmfP7i/ncrmRkZHVBQjWF4xBA7C46upqedNOQRDYKFuSA1IHBgY2/kVBaUEPGoDFqVSq/NznUChEpje6ZzM9PQ17GG1DkKABWJLKykqVShUhI5lMRi2qN/Klp6en4Xyp7QkSNACL48v4OpbXMuUjzEoO/VslyM7bFoxBA7C4/gf69zV1u7SRUgeyOAkTSdFqi8IWSFsB9KABWATDMBzHCYJ44QGfRqVheVZEqz1vcOmKbShajIiJHw0cbDwbHUfj6xQS2DCQoAFYhNPpnFHNnMdmtt/QcF0XHAtm0AbdrxsdHV1447r5MMbXrl1bp3jABoMhDgAWgTEmCMKd1dFXzaGB0EbOplhudgZbDPSgAVhEvDVOGkiSIAOBQDqdLnU4QKHsdntjY6NKpUokEn19ffIvcovF0tzczLJsPB7v6+uTt3ApWFgQ9KABWIharR7bOUaeJPVuvXyICQDzabXatra2a9eudXV1xePxtrY2hBBN0x0dHW63+/jx4/F4XD5bsmBhMZCgAViIaYeJYikpInkGPYlEotThAIXCGPf09CSTSYxxIBCQ151aLJZ4PB6LxeS9q2w2G0mSBQuLNQtDHAAsZOjIkFEysnF2w24Mgs0ok8nIYxo0TTudzmAwiBDSarX5MTFBEARBUKvVBQuLDZ0pNEFjjGEfcaAEMSlmHDLSIVpiYXxjeyFJsqamxm63zykfGxsr9rdUc3NzbW1tNBq9evWq3MLsYTFRFCmKKlhYLAaFJmiCIDiOK3UUACBRFKemprRhhR5wBdaPJEl+v3/+uenZbNFTHIeGhkZGRpxO5/79+8+cOSNJ0uzjK2maFgShYGGxBhWaoBFCG3OmPQCLwhjDv8btieO4Jc6qNBgMNE3PzMyIojg+Pt7U1MSybCqVMpvNcgWWZUmSzGazBQuLNQs3CQEAYLVUKlVHR4dGo0EIVVZW8jyfy+XC4bBerzeZTARB1NfXBwIB+VCF+YXFmlVuDxoAADaLcDg8Pj6+f/9+mqYzmUx3dzdCSBTFnp6etrY2lUoVi8V6e3uLFRYDCXoNEARhNpvnj1WBzW6BuzcAzOHxeOafAxkOh0+fPr2UwoJgiGO1CJKwHil/e+fNX3Xywc9gC6iurlarN3TrZwBmgwS9WpJO8j02cIe5GyFEa+jqR23vv91a6qDA2lhgBQEAGwD+/a0WxpjneVEUEUI5fc5/V89hc1+pgwJrI1OZIdQEDHSAUoEx6DUmSZIowpSsrcBisYzdPkb7aXaElRCsUgElAD3o1Zo953wuArEVbHuTcwPDAWtGOCBQZRQxSEhTkJ1BaUCCXjmCIKqrq/ObUdXX18+pINVIut/3f7wdRjw2pfGmcdOQydoPdxRAyUCCXjmSJK1WqzxngyAIef+q2UQsctkslyu6TAgomSiKZJokeJiTA0oGEvSqiLR45YNXbIkbB3RqajTyfX+SJE0mk0qlKml0YLWi0ShsMQpKCBL0yomkeO391zLGTOezu1iWOdgyEngi0HqxFSFE2kn8O9OfOpzhKVKn0z1xF9w23JRyudwCG9kAsN4gQa8cpvG0dfquf7wrmkbfeMvRpL7O5TiL20KSpLPZmdFETEw2rNW96G11sMFSBwuWR3efTlepY2nY8xaUEiToVRNQf3+/N8ypGbWKVk1PBzVq1UH79CRNv3b+YNXfVZU6PrASvhaf9qrWcMFQ6kDAtgbzoFcFYzw5OYkQSvHMj68evrVHGpgY+Nsu86P3x40Z44g3lIgmJvg4MpU6ULBMkiQlwgkxKZY6ELCtQYJerfweSTmRpnkJIeSNMS9eaWs6mRyfGUcIwckDAICVgSGOdYExHh8fL3UUm0ZFRUWpQwBAiSBBrz1BEKLR6OwSkiTzZyjMp9FoLBbL+selUARBOByOgl9iGGb+iXDFGlnToABQBEjQa08+xe7mU4JlNcYP7y06nVatVhuNxg0JTXEIgjB/2NxWHpIfV1ZWEgRBEISmTrP3YKPp08xjexafhmwwGOrq6pbycuXN5TtuMzc5FtlBFHZHAgoBCXrdjUfQf5xXW9Bk4S8TiGQkDb0dJ9uq1WpWyw482PMOx0X6IF31UcddLWTr7lb8RSz9QeSx3VcTzZMuemSBFgiC0Jg1Zbtop6HwqfVzTO2Yqtk9fKvjxm0DlmULHh7PvpPVOXVqEnaCBiUGCXptYIwlSZp/noL8pQUOhRRvEWse977dObCe0SmU6jOqJ+5hJEnKEKLvSZ9WwA84roYPhsN14dbv3vrj87fu/M+di7RQr+Kf4E33T9xhG1qkpk1la7doNOwMYmor1O/aQ5luLzv4NvUtzXq9Xj+ny+yz+cp6yixXt++4E1AImMWxNgRB6OvrW8HZz5zEZbk0l1MhpF2PwJSsf5977y+HggRB0PfZTpTXYCs++JODHo8nmUxaNDl0BJWZyjhTpjolDU/P/Tsjro3n6FzNS/WcepHfcMlbk3fWh+MqdDZlsM3Y97umx3f6KmfEqNNwz25ttpvtcnMcL7A6VseySToRDoS1M9vuOwKUBnrQKzfnMKSFs/MC9wkzNGMu03/4lm23HBzLEFLRrJpWixL6wbFM8l+TukldLBaTz0DgtGT2iazuychnDoUIglCpVHPuB3IcJ4/4L3yfkOO5q5JKulinOa654CH+Z9CVea3+ytlm7xtOakRz2BV/qD2nUqmSH0k++p6pRosAdx2BEkAPeqVUKPC3gcorlUusTlGUzWbL5XKpVCpfyDAMVuOLXNrRK+yrTiJUdKbHFiYQ6Kn+IwcvZEe8IwihXC43+xZrXCV6rd63/3Mbbh1ub2Yzuw37JtFRtzAzM5Ovk5L0agP7v+/lv3Vcw/N8sReaxjQ7pM5MhiVWmplBuVxOLr8+Sht2Z9QUS35QIh3kWL/Z1EdHJ4Ucyq3bmwZgSSBBrxAmcBIny75VtvRLKIpyOp2hUCidTttstlQqJQiCzqSLoMj6xalwckd1MpgaGxuTSzDGoVAo/1WaokiSHPAmLtucD94+/k+t5B7OssNCnxxWXZhgNeWaBEpMxlVv+Ux3u3yfuB39pNcWDAYRQjqjzmo34ER63B+XW8tkMvKqonxqlgmC4OMch+pyDdbs+MWy811kIpFYwWgVAGsOEvRKVDRU8Mmkb/kX0jRtMplm7DPqh0fec4n6twGDUCkwDLP2IW4GGKGeeFNNL5fPznPEOfWl0X0dMcGf8R93cx9oZcIM/cxwe4sxcGfr9fGWNoMq5aOoZDJ5bghraevhSt+ttdpjGb1Op4vsj7jah4/0sc/7ymKUKlTO+4RUsbu1bw2Lbw3TwitqQUhBagbKAQl62XQG3dCX3f/9C/zQcq7iGCw2z9wSx8EEHiYkjgzpCC25uyxoD9pesCE0s3gTJeJyuSYmJtYpbX3txQx6sehXMzn+pZOT8i+wYEb76tm2+uMznmmvukKo6MBj9cN3vWi3+WwCElKp1GtXMmILs6fKf/aemoomb2tOOo3ptrTefNeEkVY1iarXo0Unm2cymfV4dwCsEiToZWtqbhoVBoWiQ50F5JDWq9YEqqPMNfXtFRMXUR1BBMr0TJtJ9OWI3OUcqlm3cFfNbDZPTEysebMGw5I2isMY5zcz4QQUGA4ghK6kSf8LdkqL37yezNfkBCkc58f35QINAfUMa5kwGml6KimSGf15Wm9/0a6amhLQdpxvDjYvSNDLI/2ZdMl+yeg3uxO2pmExg5bU84pk2XN9dY5e7NOGXbSAaORm2Fcm2sQxbPRltueJ0Y2NjW7kXtm1gihNTBW4g8eT+iylYiMs+XPHyclJjPFLkoQusSQpThFTsPU+2HQgQS+Pr8n3yNcfuXr16pu7GpvH8TV0bSlX5XK5aDRaVlaGCdKgZTqMsUFROucO8jwv8YrOzrNnm5WVlcVisTVplvkMc37X+drRWhEtdT9PjuPyNw+LGQqrEyfrqkRx3DsuSTc/WHnGHgCbDsyDXqFEIhEIBJZYWRAEObWNRPXfPm1VBcrqBurS6fQCc8IUwvpR627rdF1dLUEQc44tX/jExYXnEY8dHmv62ybLt5exVE8UxfzOrsWkUqmxsTGfzzc7OwOweUGCXgZ5V8x0Oo0xHhkZ8fv9y7pckqRgMBhOU9eHy5I/Sy5+gQJ039N9b8VlfCuP/wZ/uOFivtxsNu/YsaPYLnQIIevHrR+6hXRWFd6LDmPsGfYs/Tfc0omiCBtwgy0DEvQyZD6aUVPqwcHBFVwrJ45oNJpOp6empjbLH92iKEqidO6Ri/Yue5XKbzGVlZWVabVa4XHh0m9c+osj1/fUFN747ep9V+vtmq/e07fEm4EAgPkgQS9D/95+26dsK7s2k8mMjIwghERRnL2YcFMQRNH/ir831fKNh0fr6+tbWlrc+9ydz3S+MdXyR3cW2KXPYDBIkvTz0Xpeov/gvgxFUfX76g/tbpC/StaQJAn/8MBWY7PZbrvttrvvvnv//v1a7Y2NXCwWy6FDh44cObJ379781okFCwuCn5OlKi8vxxjj5HqtYqBpWpnb9ou03hw0E5j417O60aT1N1vPO7QJjPH0wPQrVxIFp0YwH2NUlKqnp+evz++vZ8fKnii7/IeXf6fjjLx7ydTfTO19fe+Gvw8A1hHLsjt37nS73V1dXdFotL29HSFE03RHR4fb7T5+/Hg8Hm9paSlWWAwk6KXSP6in6XWc9MIwjNVqdTqd6/cSK/MHR2vVv69BEgoEAs95dr3ma/l40xmKokKh0JxJHQaDQd63s+dwj+NzDoTQ8PAwQqj7tu4DXzsgCFzqL1JfebfICzx+EVbrga3G7XZHo1GMcSAQkHvQFoslHo/HYjGMscfjsdlsJEkWLCzWJiTopTr/7vMHf3pw/dqPlUuOzsm3NwYrK5e6AdPGmL0tEUKoq3vmH89V7n2tQBc4/Ffhrz+abmxslCRJDN8cZMcYD18cJmhNqCbUYAgxDLMetwcBKKFcLjc9PS0/NpvN8qF3Wq02nb5xlIQgCIIgqNXqgoXFmlXoPGiM8QJBlwTGOPFqYp2iypJsRCREWuUwpN/X5nsqWuKdiI1GI03T8Uycoii1Wp2fM0eSZDabPTPGqHxp+aMgSVJ+YHjQ0F3RbWOka1+45vQ68x8UpdJpKaxWqz/zs+oDI7anRLr+K9OSGqbBAaUjSbKhoWHOH7UY4+Hh4USi6ElsFovF6XReuHBBbmHOfHyKogoWFmtNoQmaIIg5W46VHMZ4rZZpzHfFg8YTZqvVek2XtNHhXK6UZ+KVlZVlH8t+xoP/9NHp6vPVfJrHwo0RiZGREfn7kv/uYIzlx2MfGtvziz0YX4yqo/o/0ef36vz7vrv3n4uP5cZyOZQ4sw5rxgFYH/IZSXOWR2GMF1iSWllZWV9ff+nSJfmHQpKk2eOiNE0LglCwsFiDCk3QaLH97zcSQRAY5zeXXy/yyVgJlNndqLt3B/NGb8km807/n2kSka+f6TjwHdfAxQFJvPnbfs5p5eiXm+4jhARBiD8TH32bq9ojzf6geJEYHRjdmMgBWFuiKC59NZnNZqurq8tnZ4RQKpXKH9PBsqz8B2jBwmJtwhj0Itrb2zs7O9f19qBM/qvnarhicKa8QR9c75dbQEQdYb7C+LyJ/gv9S5mvrVar5cnO6XT6W6etqr/4lRWGiy7/A2ALYBimra3t6tWrs//0D4fDer3eZDLJC3EDgQDGuGBhsWaV24NWCNJMjtw18od1mt9e5xwdi8USiUR5ebmIUalWKut0OtURVUgVkiTJ51vSftcEQezvbBxtmZE3BZ1/98/r9a59oAAojM1mY1n2tttuy5ecOHGC5/menp62tjaVShWLxXp7exFCoijOLywGEnRhKpVKXjF87MljNW/U9EQqm/4WJ9E6rs/GGG/88kLju433Rqmuy9mZeAYhVFdX1/XOrprnarLJ7BL32Dsf2/lk67G7HxZqv1zLIVhjDbYpn89XsE8TDodPnz69lMKCYIijMM1nNJ+9T01X0ZzIZZ7K9AeY5MWN2D1jg0feRw6PHK4c2NVsZ1lWpVINPzKsyWhSp1KSsNQufNdU3dVoneOsg+uD7AzAGoMEXVjfgb7bbNd9X/ftuLQDIbSy/TdWIBaLzb8Rt35EUSQQUaFJUySSfleaqZrRfVlHJJZxoHUul3tlohl9c/1iBGD72o4JeoFZhzKNRoMxTkplmrim6uWqjYlKtqy7xmvi+ZnGuyoGypn0hGOi+T+a6eTyRr3cbveclSwAgLWyHRN0Z2fnAvtkUi3UXXucCKF/Hryj/DPlbvcKT/3YLI66w5lMTh5aGR8fX8GxIx6PZx3iAgBsywR97n+d+8LtRWfm+r7se6zhkhZrvV7vZtkUdAEOhyO/sdYCqqurF95iHwCw8bZdgt6xY0fAGjBRN1YHzRnuaN7ZLAjC4z8y3P2Nu7fGBF6NRiN9XPrUe8TWeVvnG/6XQaVTEQTBqrVDvx4sQ2WUUMoVjACAObZRgm5tbUUInfrjU00DTUjeeu1T1BP3G2f3HE9/8bTznBMh1H25u1RxriF6N13rSMxYpmMa+jdvy+x0/MrcjJHWEeNLRtpPf/tap/5/HNYvWYkodKIBUJDtkqDrWutQFdrTYEwRqbYX2hhGpfkNjf9ef7kq+4PHbvSU4/8Ut3gt+B8wUtJC89WIPBjZX9uvp7MvBfTxVA5Jv3L7EWMs9UuIQ0PXPZOXJpOJ5NZ41wBsGdslQV/4swsTd0588Y5RFa0aGBj47tCd5e7yjr/u+LvXESGm5aXxcX1c8+eaUke6lniezxKsKWdO+VPy3T+z2Swv+QMAKN92WUmYFbPNzzc/pam6ZYgfy4z1js44HI7B7kGEkI9z8J/jv9uffOeCu5ZsUv8wotX+RItzOVSBaJo2OA25wZwoinDuNQDKt10SNELI5/Nhh2Ps6lWEUCAQCAZvbEj0r73tjaPas1Zt6xvpBCq6zesmlcvlyOyNv5PqnBX/91H3V68Jxwd2+tP6EBla+FoAQGltlyEOhFAgEOjp6ck/zY+3yqsEX7iGE/+21bLzbF6+vr0iV++z0Fmx/23e+9uG1DSMOAOgaNuoB40QKjaveXBwMH8IzVb1ls9G+knxTOxKc4soZOziKImWvSYFALCRtleCLmZTZGd5OuCKJ1qMjIzID7pNLamr6bH91dVTKJnDPNrQleUAgKXbRkMcm11FRYXdPm+1yfJNTk5mMpmnjnPGnzjIGfgHAIBybc0etMVikdcB6vV6DnH15aotcBQeQRBLWY1tMBgYhkmlUsXmaaRSKfkB7KEBgMJttQ4U9Xbq/bcZWursBEGoDqjaWxp8/+z7y3s922fyr8ViqaiokD4mPf5orrKcgh02ANi8tlqC9r3PZ7XSn207WW9jxj8//r7GPvOQ+R+vdbj+0lXq0NaSTqczGo0Ff+vM7JjZ0RKgnekxkrVeqdD5dRsfHgBgTWypIQ6Lyib/UwAAIABJREFUxeITfS8OG7JV7X/9YN89CH/hOYl8ljyGpkod2mrZbDaj0ZhI3JgIqKvR1ZWxsaAqmsTZDBeL35wg6GnwnPI7Xf/Vdt4XjkVjsHobgM1r6yRohmHK9pZRFDU2NvZaoiYt7D74c8IrbsoTS1mWzQ+jy8RKsawiphvnQwwjSZLnoOd+FXfBRj4YIEJn1C/13vw+SpLk8Yc0fSlIzQBsdlskQavvU0t3Sn22PucLToETJiYmXs9YjOPGUse1QjRN28wGBmf8kRvz/yaaJ24zZ6oFe4Zqmmqd4hxc/0S5ulenRX6bTqgwquKcirbS8Q/Ey8gyOkhDdgZgC9j0Y9ANrQ1aNe39gFdzVqP9bS3/PzwWMUIoHA6PjhbdlV/huluTVQ92v7cjUV5eLpeIohgjmEoj/kDzUHnjBPKgsZd1fS/F3zyvsenFw7VZ/qPZ5G8lDbyh7MUyPADZGYCtYNMn6N7P93790RAh8TNvzUjiFtkAKIv4LJ8mCKzX6/OFJ7Hxv4aaJyMiJaXT6XQkEhEEYWBK7I5U7q0lzLYQd5yz/dxGT22Rv4oAAJs+QZv+j0nkKR2pJ6VN/15WpjdUFkpgSRR5nvd4PBt5KDgAYF1t+qSWDWY//7zF/gdOIrm1JvwSaLghXXW/96GOm+8rHo8nEgn0q1Ob/X6/N6EtC9qNcSMMPQOwlWyFP4c5juM4rtRRrDEfrXPOWB1kXE+nESpHCEmSxPP8VM5cNklVhqkUurEgUBCEn15C6BJCaNMfcQsAmG0rJOgt6XKKH3+We3urQOtolmUTKJFIJMggGQwi+jrGGHY4AmDr2/RDHFuYJEmSJGk0GpvNRpI3v1OCIBTbNxUAsJVAgla6pEFM35PWdei0lLbUsQAANhQMcSgOxWhNmDQLWowwQqi3MRbUUNaXrNFLUbkEALBNQIJWnBOjalvS5SQIL/ImCSsT55gxlLyWhBkaACgZQRBNTU21tbVdXV08f+MukcViaW5uZlk2Ho/39fXlcrlihQXBEIfi5HK5/OHiAxHj5OsO6edS/vsNAFCmXbt2iaI4uyNF03RHR4fb7T5+/Hg8Hm9paSlWWAwkaEXjeR5SMwCbwsjISP5gOZnFYonH47FYDGPs8Xjku/0FC4u1CUMcijYzM1PqEAAAS5LfDThPq9XmzzsVBEEQBLVaXbCw2LGoCk3QGGO1Wl3qKEqGYRiGYbbzJwBAyREE0dzcXF9fP7sQY+x2u+fn4oJIkpx98pwoihRFFSws1oJCEzRBEPlx2G2I53maprfzJwBAyaVSqcHBwWQyueIWJEmi6Zs5lqZpQRAKFhZrAcaglYjn+a23eB2A7SaVSuU3pGRZliTJbDZbsLBYC5CglSgWi01PT5c6CgDAqoTDYb1ebzKZCIKor68PBAIY44KFxVpQ6BAHAABsIgzD3HnnnQghgiDkBydPnuQ4rqenp62tTaVSxWKx3t5ehJAoivMLi4EEDQAAq8Xz/NGjR+eXh8Ph06dPL6WwIBjiAAAAhYIEDQAACgUJGgAAFAoSNAAAKBQkaAAAUChI0AAAoFAKnWanUql27dpV6igAANuXXq9fYJ+5jaHQBI0QgrXOAIASmr2lUakoNEFzHNff31/qKAAA29fu3btLnqNhDBoAABQKEjQAACgUJGgAAFAoSNAAAKBQkKABAEChIEEDAIBCQYIGAACFggQNAAAKpdCFKqtHEMTdd9/t9/vdbne+sLW1taqq6tixYwscAjabwWDYuXPnmTNnVhzGvn37aJo+d+7ciltYWy6Xq6qqSqPRcBwXDAavX79e8qn4a0v+vstvShTFWCzm8Xji8Thai+/mBnO5XGq1emhoiCCIhoaGmpqakydP8jwvf9VqtTY2NqpUqmQy2d/fn8lkZl9b8Ktqtbqtra2srCyTyfT19c05r9pmszU0NLAsOzMz43a7BUFoaWnJZDJer3fD3jKYYyv3oEVRLC8vpyhKfkoQhMlkWlY+SiaTFy9eXHEAOp1OFMVsNltWVrbiRtZQY2Oj0+kcGho6ceLE1atXtVrtVt3w5MyZM11dXefPn4/FYnv27JE//1V+NzeYVqutrq4eGRlBCO3cuVMUxdm9CpZl29vb+/v7T548GYvFWltbZ19b7Ks7duwIh8PHjx8fHx93uVyzL5Fzd19f38mTJ0VRbGhoQAgNDw87nU6NRrPu7xYUsWV70AghgiDi8bjFYgkEAgghs9mcSCTy/9oqKirq6uoIguA4bmBgIJ1OHzhwwOPxBINBhJDVaq2trR0cHJT7XHq9vr29PRwOGwwGuVMTiUQQQrW1tVVVVTzP+3y+2traOeeMORyOQCAgSZLdbo/FYgih+S9x8eJFi8XS2Ngon77e29vL87zBYGhtbU2lUizLXrlyxeFw1NTUyBXcbrd8SHvBl57fVD4YhmFcLtelS5fk7mQqlerp6amsrCQIAmM8/9Mo+JZXFv8SQy32IVdWVtbX1xMEEY1G+/v7JUla4G3OlsvlxsfHKYpqbGy8dOmSXq+Xv5ub4l3U1NT4fD5RFBFCY2NjyWSyrq5udoWBgQH5H1UwGKysrJzz3ud/Va1Wq9XqiYkJjLHf7/f7/bPrl5eXx2KxRCKBEPJ4PHv37h0cHJQkaXJy0uVyDQ4OIoRuv/32np4euVmwMbZyD5ogiEAgYLfb5acVFRVypkYIqdXq1tbW7u7us2f/X3vvHR/VdSb8n1umF03RzKij3gsgRBVgQBhsYyDgkDgOtuOavPHa6dld72az774p+8sviVvstR3HcY13kxAIBhPbgBEQiSKBhArqXRpN7/WW94/z0/2NZ1RmhMpInO+HD58z955773OPzn3uuc95zvNcMhgMRUVFAACj0ZiYmAgraDQarjJEIpHYbLampqa+vj74qEgkkoyMjIaGhsbGRo1GE2Y2wTAsMTHRaDSaTCa1Wg3DYkVeQiAQFBcXt7a21tfXm83mwsJCAADLshKJxGw2X79+ncfj5efnNzU11dXVeTyeFStWTHXpSU/FkZCQ4Pf7oXaG0DQ9MjLCsuykrTHpLc9C/phEjbyiUCjMzc29du1aXV0dSZLp6enT32YkY2NjcrkcwzBuy5K4C9h5YDnMFgEA8Pv9XP9UKpVhSnPSvVKp1OPxFBQUbNiwYdWqVWKxeKoWCwaDPB6PJEkAgMlk0mg0cPvNmzfdbvf0rY2YW5azggYAmEwmuVxOkiRBEEql0mw2w+0qlcpms0HD3NjYmEwmI0nSYDCo1WoMwzAMU6vV3OMBoWkaDoU8Ho9AIAAAKBQKm80WCAQYhhkdHQ27NBywUxRF07TNZlOr1QCAyEuo1WqHwwH7/ejoKNwLAGBZFgoQDAYvXLgAR802m00oFE516alOBSFJcqoAgZO2xqS3PAv5YxI18opQv/h8PpZlW1tbh4aGpr/NSCiKwjCMs3QtibsQiUQYhoWZlaf626WmpnZ3d8+4lyRJuVyu1+vr6upMJlNpaWloTZvNlpCQIJPJMAzLyMhgWRa2mMfjwXEc9jqz2UxR1IwiIeaQ5WziAACwLGs2m7VaLUVRVquVM0DzeDzui5JhGIZheDye1+v1+/1wtOXxeHw+H4/H404FPzYh8FkKVXl+vz/s0klJSYmJiZs3bwYA4DhOkqTRaIy8BEmSCoViw4YN3FXgRUNtjunp6YmJiSzLkiQJLzTppSc9VWg1+JhFMmlrTHrLs5A/elEnvSKPx+OUAtw7/W1GIhKJGIYJPXP830XoX2QadDpdZmbm9evXI7tf5F6Korxer81mAwAMDw/n5OSEXsXn83V0dBQWFuI4Pjw8DOvDXYFAgM/nwyECYoFZ5goaADA+Pr5ixQqKokIHuYFAQC6XwzKO4ziOw2fDYDBoNBpoG5nxzBRFwZEmAIDP54fuIklSqVTW1tbCxxvDsI0bN8LnIewSgUDAbDa3tLSEHs7n8zntrNFotFptY2MjRVFJSUnQnjjppSc9FYfT6SQIAo4EuRvPy8vr6uqatDWmmhqKVf7oRQ1rQwj83IZlHo9HEMT0txmJTqez2WxhBqgldxeRaDSaFStWTKWdI/fC91Boncg2ga0hl8u9Xm/oawaxWCxzEweYMAtIJBKr1cpttFgsCoUC6qDU1FSHwwG7o8FgUCqVoea/aXA6nUqlksfjYRiWkpISukun01mtVu4BYFnWYrFAa3jYJSwWS0JCApREJpPl5+eHXQUOXqCC0Ol08MNz0ktPfyqKogYHB4uLi9VqNUEQIpGorKyMx+MxDDNVa0xKrPLPQtRQYE2JRIJhWH5+vk6ni/5YHo+XkZGRkpICfSGW0F2Evg+murW8vLzm5uYw7azT6fh8/qR7XS4XTdPJyckAgNTUVJfLBcfI8BCBQLB+/XqhUIjjeFZWVugUIp/Ph8MXtVo9vVSIOWf5NzfLsiaTCcfx0PGC3+9vb28vKyvDMAyW4Xav1wu3TDoqCcPhcOj1+qqqKr/fr9frQ2ddkpKSwrxHjUZjZmbm8PBw2CVgaoKysjIcxymK6urqCruKwWBISkpat26d3+/v6+srLS3Nzc3t7u6OvPSMp+rv76dpOi8vTygU+v3+8fHxvr6+aVpjUmKVf9JWmvEoDr/f39HRUVFRAQCwWq1DQ0MMw8x47Pr16wEALMs6HI5r165B54QldBcejwfDMJFI5PV6eTzexo0bwcR3GACgrq5OrVYLBIJ169Zxh/z9738PBoM5OTltbW0ikWjSvTdu3CgpKcnNzXW73W1tbXAXPMRms42MjKxZswYAYDAYBgcH4V5oIIL2jcLCQuTFscBg0OEx3tiwYUP8LO6YBgzDFArF008/ffHiRZvNdvXq1YW8NHzlKJXKnJychbx0rCwhUadhge+isLDQ7XbHukhkxYoVRqPR4/HM1SEZGRkikaijoyMmMZYHFRUVnZ2dkS40C8nyN3HMHzweb/PmzatWrTpx4gSfz59qCm7+Li2RSAAAWq02ngc1S0jUaVj4uxgcHExNTY01aanP54tJO09/CEEQqamp3GgasfAQSqVysWWYhPT09JGRkcWWYgYYhgkGg8nJyTRNm83mioqKVatWrVixYgGyKcJLFxQUpKen0zTd3d0dtyu2l5Co0zDVXWAY9qUvfWnjxo19fX1z6+cQDAZxHNdoNNBjL0pm4ac8zSF5eXkWi4VzTr3dSEpKMpvNi5u9evnboOeb5OTkv/3tbwCAGzduJCcn79+/PyEhYQFGWKOjo5HO1/HJEhJ1Gia9i0OHDhkMhitXrhw8ePC3v/3t3F5x0YeucAEhYhFZtgoax/GXXnqpvr7+7bff5jZ+5Stfqa6ufuqpp7hB3He/+12hUPiTn/yEq4Nh2Pbt26urqxMTE51O57Vr144dOxYIBOAJ4cR3IBDo6en56KOP1q9fX1tbCw9kGKby5k3mvfe2bNly+tgxYWLigw8+mJmZaTQa33rrLehbyqFSqSL34ji+b9++mpqaH/7wh9DyRZLkCy+8wHmkNjc3z7kWQMyaXbt2ud3us2fPAgBWrly5f//+Y8eORRmHC4GIhrlR0BiG5ebmrlix4ty5c5zru1qtzsvLEwgEDoejra0tGr+IuSUQCOTn53NOQgRBFBQUhC6FSklJgQa47OxszhNr//79lZWV7733Xl9fn0qlOnDgwNe//vUXXngB7v23f/s3q9WakJCwdu3aZ555xmQyffDBBwAACcO4cXyYx/vYZns6P//+sbGW73znckvLiy++WFVVtX379tD3BADg4Ycfbm5uDtv7+OOPw1AJXDWJROJyuX7wgx/Mc1MhYkalUhUVFT3//PPw55EjR3bt2rV3795jx44trmCI5cTcTBKWl5eHRdsiSbK0tLS9vb22ttbhcEzjIjp/4Dje19dXVlYGfxYWFg4ODoY6cq5fv76xsfHKlSucQ5JUKt2+fftvf/tbGJNodHT09ddfv3btWuhCYQCA3W7/5JNPmpuboR+rkqZ/+fOf5+fkNAqFPgCu37jx2gMPSDSa6x9/TNN02CgeAKBWq9Vq9enTp8P2njhx4sSJE6E1hUJhNOt9EQvPgQMHjh49GtrnG06evOfatZrKykWUCrHMmJsRdG9vr9PpzMrK4rbAUAPQFDswMLBlyxYcxxd4dgjH8atXr27YsAEGmayqqmpoaKiceH5wHF+5cuXJkycZhtm/fz9JkhRFZWdn22y2/v5+7iR+v//8+fOwftj5g8GgUqkkCMIGwGvvvDM8Nga3//3vf//ud79rNBp/eOgQVl4+bLH84Q9/GB8f5w5MS0szGAwPPPBAQUGB2Wzm9oaZQQAA0KH1mWeeSU1NHR4e/uCDD6JZ4oiYb1atWmW327l+khoMill2jCTf6uysvOceaWsrZjD8ZWJxJgIxa+ZmBB25EEAsFnO+OxRFURS1kF5oHC0tLZmZmWKxmM/n5+fnt7a2cruKiooGBgZ8Pl8gEOjq6oIDbZFIFHkvU5GcnIxh2GaGKfH7G9vbuft1uVy9vb05OTmvNzf/049+dOPGjccffzz0QJFIlJWVdfny5R9NtjcUv9/f3Nz8wQcfPPvsswMDA0888UTMTYCYB9atW/fRRx9xP79stwcwzIXjF4XCoydOKA4etBAEAOB+u/3uRfWiRSx15muSMGy8TNN0mJUAQhBEWlpaZDQyGK8ARpCBkW5iLXBitLa2VlZWwlgw0D5OEATDMJs2bSouLv7lL38Jt4jFYrhKCq7oneqEMDAeSZJbt241Go3p6el5Tud1mQywbGjl1tbW1atXm0wmhiDu+O//Vu7fL5fLHQ4HrOP1emE2E5ZlL1y4sH//folEAiOlwTXWsK14PJ7BYHj//ffhUR9++GFNTY1KpbJYLLNuFlS49QLLsmKx2O/3c130OZ2OqzM4OChXq29mZydhWPZjjwmDQYnHs+q11y4IBCfF4kUXHhWiL8y9Woyd+VLQDMOEWnuhAWHSanDRbdh2qEPBRHC1WRS481++fHn37t1er/fChQvcRrFYnJub+73vfY+iKKgNf/KTn4jF4qGhIYFAkJubC32ZGYYhCOLQoUNHjx6FM40sy+bk5Bw4cKC9vd3lcnXevPm7hITIqxuNxkAgcODAgbfeeus1pfIHE7HBYB2z2QxX0HKiMhNwEsL/pVKpWCyGUf8JgsAwDL5jZt0sqHDrhZSUlNHRUbilwO//isn0Y40mtM6RI0cefvjhYDD4+rvvGo3GioqKtB//uO7ll0WBAL3YwqNCTIVFZ75WErrdbqlUCssCgQCmjYisxrKswWAYjwBMhNri5h5nXejs7FSpVCkpKdz6EZZl16xZ09HRAZUmTdM0Tbe3t69evdrtdn/yyScPPvhgaWmpUChUq9WPP/64VCr1er3whHw+f9++fW+88YbX6920cWPF734Hr1VSUiIQCLiLDg0NORwOr9f70EMP5dbUjA8Pi5xOAMDq1atlMhmMyLF+/XoMw6qrq0dGRmDwsNDgSvA8aWlp3/zmNxMSEjAMu+uuuwYHB6EF5tabBRVmXcjNze3q6oJbbATxklIZVmd4ePjIkSMvv/yywWBgWfb69evnL16s2b9/ncfzA70+Tu4ifgqpqalFRUVcKO1Flye0sOjM1wjabDYXFRUplUqbzZaVlQV76jxda3pYlm1ubg77Zlm/fv2ZM2dCq12/fv2uu+46e/bsqVOnAoHAwYMH1Wq13W6/cuXKhx9+yFV79tlnGYZ59tln+/r6XnnuOZfLBUgSAHD48OHXX3+9p6eHq/naa689+uijKSkpycnJ51566QmL5WcazcGDB19//XWHwwH3Hjx4UK/Xv/nmmwAAiUTys5/9DACA4/hPf/pTAMC//Mu/tLa2nj9//nvf+x6PxxsYGEBO0IsOjuOrV6/+zW9+AwDIDAadOG6ezHYXFvzo6tWrlZWVtdnZDRMzyQiOL33pSxaLRSgULtEgLfPKHARLgmEKQIjd+cKFC4FAQK1WQzdku90+TeK4Sdm2bRu3ACR+SElJueuuu9544w0MgCctlreUSu+0uTwAAHK5/PDhw7/5zW94LBucqTIi/lm7dq1arYYzhP+PXv/rxMSx6CJw5ufnl5WV/fnPf37QZvtYKtWjuJ0AAADy8vJWrVp16tSpBx544JVXXllscT5HPARLmoNeEgwGw0ajELPZHJZEdamzefPmzz77DAAgYRgbQcyonQEADocDZgxKcLnSg8GrKEHyUgbH8S1btrz00kvw5w8iUrVOQ1dX1969e4VC4RWRKC0YRAoasn79+tOnTzscDgzD4ET6YksUX6BodtEiFotTU1N7enrudLk8OP5BQkKUB7a1tZWUlHhxfCfyuFriVFdXX7t2Dc6mPGK1xvRBxLLsJ598cu+997YLBA0ikSw+5qAWHa1WCyOcXLp0CUbxDiU9PT3WeH7LjNv65mNi586dp0+fTqDptV5vTM9WS0tLcXGxA8d/NpEdecmhUqn27t27KMtB44eMjIxVq1adO3cOAIABkMAwsU6qNDU1abVauVwuZZiXl370qFtHo9GYTCZYvn79enl5OZwqfOSRR/75sce+961vfXXPnn9ISeHFx3zdooAUdFSoVKqsrCxrQ4OdIP5PjHoWpr8DAGgp6otLMBpyWVnZI4880t/fv2HDhrvvvnuxxVkcMAy777773nzzTej5wwLwa7V6FudpaGhYuXKlE8e/G4t5ZLlSWFgIUwHsdLk2OZ09TU1/dTjuSUvDTCbdf/zHB7/4xSuvvbYqKSldLs8NBHbflh+gy1lB5wUCvx0ZqevtvdTb+6ehoY0eDwCg1Of7NGQl9/RgGFZYWHjnnXcePnz4s/ff/9/j49yEfZHfP9V5+Czb2dXV0t0N/z03Our3+wUCgZkg5AwDACBY9gcmU0dXlzIk9d+dLtepgYFrPT2vjI5y37+T1lxIHnrooZKSkpdeeqm5ufntt9+WyWTbtm1bFEkWl8rKyps3b0ILqZBlfx6ycD8mmpub4ZpVA0nudLk0t3di1pUrV8K0uTyWrReJjp0+/eH3vpdy110fnD79THLyMI9no+kfGQz7Hnusct++JIZZztpqCpbzTMVvxsbeUiieSE1lAdjtcr0yNrYlM7NdIPhievqk9UtKSkZHR+G68IMHD/r9fpFI1NnZuePPf26oq7vudD6cmhrNdRMYxkoQ60LcY/YND6enp3d3d7+hVAIAXhwbaxcIQu0kqRT1s/Hxw2lp3Xz+z8bHv2sy/VirnbTmQqLRaHg83ltvvQV/siyb/Mord27cOJCdrWht7REI7LeNfbCqquqdd96BZQHLHpPJZncej8fDMAzMrW4miCqP5+RsT7XUgemJXS5XViDw/zUCw7z66qth1QYHB5977rmNGzeWfO972Ouvf9tkekGtnvVrjSCIioqKxsbGWxJ9AVm2DxjJspmBwMdSKQMAC8BHUun+9HQXQRT5/X+cyPP2hNV6tq/v6ODgl+z2s319AoHgm5s2/aG9/cfBYMX3v3/v979f9+MfHz169FkMcw8Pf9zff7a//93h4eSIJZF/7+2tDIk5J6Vp5+c1V39//4oVKwAAyRT1tNn8olr94uc/kKu83gaRqE0gCGDYKyoVF8AhsuaCAeNiX7x4EQDAY9nvms0AgOdUqm+Pjt53333rU1Orb5swe3w+n8/nQ3crDACcZetCEgTHyoULF7Zu3QoAaBSJblvtDACorq6ura2t8PkemMnux7LsxYsXDQZDYXFxD5+vmO1nB4ZhX//615dWYvJlq6ApDDsrkbw6MrLX6dRQFACgj88P/cPmBQJPWiyH0tMPpaff6XLRGNbY2Pg/R45ox8df6+w8rNP9SqV6ymwGAJAs+29G49dSU7dlZg7weN+ISEH0j0lJ3Xw+91POMCKWfXt4uL639/cjI5mBQH9/Pwz1N0aS3Xx+u0AwjeQOHFfQNDSGTF9z/khMTHz66addLhdcfplI0w0Tsa4cDserr746sGFD4Y9+tCY9/e3h4WXv3V1UVMQtQ61xuQ7d2kRCS0tLXl4en88HAIgY5rXbcrYQx/H09PS+vr4WofBniYnRHHLx4sUNGzb8VSZz4HjZrLKLlZaWDg8PL4ls1BzLVkEDAJ5OTj4ql3/Jbj/b3//XwcGwSYYqr/eSWGwkyQCG/XeIz5wbxy+KxQCAfh5PR1EAAAtBrMnJGeHxAAD1YnF6xIqbWrHYHrKczI3jZySSH2u1W7OybggEL+n1drtdoVDAGeqTMhkZMSt9WSRa4/WW+nwEyz5qszEACBZv5loqlX7ta1/74IMPTpw4AVh2v8MxRpKfSSRcBbvdfuLEiVdffXXHV77y47S0ZT/FXlpaeuPGDVi+LBL9/tbSeLIsy4Ug9+L4a3GZFHS+gdOD9zqd6YEAHd0CLqPRKBAI4Hz7MxbLJMs3Z2L79u2TrtiIZ5bSaD9W/Bj2tkLxtkIhZNk7Xa7/HB8fI0luEC2naeuEIWI85KvHM7GRwTDYCTAAHrVat7vdLABymh6biGw3Fd18/r9qtbD8vFr9iM2mpaiRkZGUlJSRkREdRf3AZAqbxB8lyWd1up+Pj5MAvKNQAACci2fefeCBB44cOQIjomQFAsopPHZdLtf169dlFRWr6+t9ON52a4P96urqtWvXUhRlNptpmjYYDA0NDfGQAhzDsOTkZOirW+r3GwjCfssrQuvq6p5++un6+vpgMHhVJCr1+boEAv8yXWi6fv36lJSUzz77jMt+i2HYjh07Pvjggz0UNTQRsScajhw58sADD7zwwguPpaQAAAiWDVPu69atczgc7e3tkccWFRUNDw87nc6cQKAn5Hs3zlm2CjqFogr9/jMSCQDAh2F/lcn2ORzFfv+NCT3iwnHOWUIzWaQ9jjtdrrtcrvvT0pw4vt/h+MJMAaM1FJXAMNDogQOAs2wQwzo7O/Pz80dGRsZJ8neTDZo+kko/kkoBAOU+Xz+f75u7x1Uqlfp8vklNiE6OAAAgAElEQVSjCUZSXl5usVhgUBEVTffy+b1T9+aWlpatW7d+2tBwj8s1awWNYdjBgwcpioLpo5RKpYjHK1UovvzlLyt6en5/6tT4ohoN09LSuEQKh+z2X83FlEAgEPj000+feOKJl19+mWXZFcFgkd//x6iXPi0V+Hz+7t27lUplfX39o48+euLEibKysrS0NLFQGHzvPaDXvxnj18PY2NjNmzfXrl1bX1+fQlE/HR//Wmoq9wG3Z88eiUQik8kEAsH169fDjt2xY8c777wjZNntbvcSUtDL1sQhYJj/V6/f5XIRAGAArPN6y/3+ayFJA5qFwnVer5KmeSz7pWkXmGooaoQknTguZ5h9Tqc4YkS5xeNJCJm4KPL7fzsykhoMEgD8L4ulRSi0EkRHR8cXvN5EmgYAtAkEmZ+3k2ho+pP+/rRgUMQw3zKbj8xdMg6hUHj33Xfff//9BQUFM1aWyWS7du2CwaESaPrl0dFIa0woo6OjKSkpRh7vTYVCOqulcXw+/5lnnjGbzUePHqVpGlCUyWTacPOmtq7u1Vdf5Xs8XxSJAACLuFShuLiYy/PwI63WNllopFlw/fr1oaGh0tJSAMAJmSxUO5eUlNTU1MzJVRYRHo/35JNPGgyGt99+u6Oj480338zPyVn1pz99+pOfvPjTn45dv+6Y1TfimTNnNm/eTBDEKEn+UKdjJ4yBpaWlOTh+6v33T7/xxnNNTQ/W1BAsy11ArVb7fL48vZ4C4PUlZVNatgq6j89/Kjn5azZbfW9vfW/v902mf9Jqb4aM8pqFwr/I5ccGB98bHv5MIplGAZyUyVQ0/beBgRfGxl5Qq1ODwR9OLH+C/Fyvzw0EuJ+1EskfFIoPhofrenvLfL5vJSUBAFwu15ajR/MAUND0je7uv/X3EwCc7+tr6e5OpGkjQbynUPx5aKi2r2+Ix3tDoQAAKGgaelKH1oypEYRC4b333iuVSnk8nmCmES5BEA899NCf/vQnmAXRThAPpqVR0w7kWZYdGhpKT08HADxtNm9zu2MSDwCwZs2apqYmmBg7OxB4d2SEYNn/SUh4S6EAAPzm5k3hM8+IRKL/Gh0tn9W80K0Dg4sCAP7p83/0W6e2tnbLli3cz1/r9ZmBAJ/Pv+eee/Ly8nQ63dxebiFJTEz85je/WVtbW19fz7LsPxuNKwcGjh0//r7b3SIU2lj2LYVidiadQCDQ2Ni4du1aMGGZ/Pn4+C4Mu7umJuN3v5MwTB/LbgMgqNHcp1I9PxE7cM2aNR11dV+y29mlZkeag2h288HCRLPDAYCjvnVe7w9NpgNT+EfPFTU1NRaLBfpgihnGM/9W5oMHD8rlcjg5aTKZGhoaRkZGpqr85S9/eWBgoK6ujgDgxdHRbycnR/MIFRYWFhQUHDt2jGBZAcvGdFMYhn37299++eWXfT6flqJMJIlFWBXz8/Pvueee3/3udy67XU1R5pBZhAWAIIinn37617/+NQHAIbv9D3NthXjwwQfPnz/f19cHAFDTNAtAdWbmk52d/7ZmzZ0+34Xm5tqQudmlQkFBwT333POHP/xhbGwM9nMNRRnnzk4lFAqfeuqpX/3qV1wA4W984xsnTpwYHBzk6uh0uj179rzxxhsAgO9YLOU7djzR2hoIGUVFQzxEs1u2I+gZUdF0Y09PXiCAAbDX4bg2/ykTuVVkAAAPju+LOvnhrcBlq9FoNCqVKrKCWCwuLi6Ga7hh9EGMZd9QKqMc4HR1deXm5gIAaAzz4Pj3TabSqIe6999//9WrV30+30GH4wsOBwNA5IR+Z2fnkSNHHnvsMVIgWOv1ftNsjvLkc0JGRgZ87GkA5lw7AwA+/PDDe++9F5bNBGEhCPnWrY/n5DR1dtK7dy/FCSKCIPbs2fNf//VfY2Njapp+c2REwLJzqJ0BAD6fr7a29hvf+MauXbsqKiq2bNkyNjYWqp0BAOPj436/f+fOnXw+/8q+fX/QamPVznECoYxLi0xWVtbAwMC8XsKL4zaC+Hej8WGr1Y3jP9NofPM8pHW73TU1NZcuXYK5C3a63cMk6Zwjm+akFBcXc7l6MQwTCAQulyssK+5TTz0VDAZtNtsnn3zCsuxar5fGsM6oZ/xgRgzofQEAaBMIcAC8OC6cKf61TqcrLCw8duwYybIdAsGVqZd+2O12h8Nx5513/rG9/ZJYnMAw8gX5/gAArF+/vr+/Pzg29qLHcyktzT1hw1m3bh3LstHnF54Kr9ebnJwsEon0ej0AIDk5uaqq6tNPP2UYJjM//7rHkzE+boiPhRVKpVImk3GZkadi165dw8PDXV1dYoZxEsQxuTwwD1aFkZGRkZGRQCCg0+l0Ot2HH35IR1j/bty4kZmZuWvXroSEhCNHjswiYUhSUpLZbF5czX77KmgAQItQ+JZC8Xul8oRMNt/aGZKSkuLz+axWKwDgskg0T9pZIpHU1NSsX79eJBJxI2gMw8RiMYZhRqORS55QVFTE5/OPHz8+PDwMe/AjNttZiSSm3AJ6vX7fvn0NDQ0sy/pw3EYQ2cHgv5pM1s2bN/B4GwcGrk0WBbu6urqrq2tTV1e113tlpjDZRqOxqKiIIIjx8XENRT1rNH40/2vwMAzbt2/f8ePHC7KyRBs3ZlRWCgQCh8PBMMzGjRvz8vKSk5PtdvuMOmt6BgYG7r//fphD69FHH33rrbfgHIDFYtm+fXvFuXNeHF/04NHV1dW7du3Kz8/funVrVlZWa2vrpPoOJiX4y1/+ss7r/abF8rFUGqWP8yxwOp1Go7Gvr6+1tTVSO0P6+vquXLly7dq12aVzQgp6ShZGQc8JSqVyw4YN/dEFYKJpuqSkBEbwAgDsdLlK/f6OOV0umJaWtn37dpVKRZJkaDZeWFar1S6Xy2g0wo379++/dOmS0+lkGEbEMAKW/VQqjTXzi9frFYlEMEkYTFXulUqz/vEfHR6PtqQEp6gGm22P01nt8YRq6r179548edKAYRennaHl6O7uPnjwIMuy7Xr9RzIZAUB6MGifz++PgoICHo9nHB3dXlbmy8jAMEyj0ZSUlJSXl/P5fJIkExIStFqty+W6lTDzFEV1d3cfOnRo+/btH374Ifep7nQ6a2pqftXcHGXGlvkjNzd348aNr7zyytWrV+vq6hQKRU1NTXNzc6TW27dv37Fjx4Ju9zhJfiyVRjkjl5KSwjBMTBmXFgakoKdkqShopVK5Y8eO4uLiv//979HUt1qt9957L5doZoTHU9L00EwrX6KHIIg77rgjISEBhFifIfAnhmE4jttsNo/Hg2HYF7/4RRi4x2Kx/NRgGObxZud0PDAwcO3aNbVavXPnTr/f/8UvfvHUqVOXL19ubm3N2blz165dCRs2NPT0jAaD99vtJACr9+7d+cc/Gm22doEgyrENRVFXr17dsWNHcnJyd3c3n2V/odefk0j88/bps2fPnnPnzj2lUKzwePRpaSCkDbmCSCTKyclxu93mWzCOu93uy5cvNzY2hk3h5uTkjI+P55nN2YHAHHaSmBAIBA899NAbb7zh9/sBAAccDqq3d1gi+a/x8TGXq5/HkzEMNGKQJLl161bVX/6y1eOpE4uj1M67d++uqKjw+XwGg2F+7yR2kIKekiWhoHU63cMPP6xQKAAAGzdujEZHsyyblpbGWTloDBvi8TZ6PCqavvXlGBqNZufOnTAFOJhaQcvlcoZhjEZjcnJyWVmZy+VKS0uzWCwng8FhHg8AkJqampCQ4PV6GYYpKChwuVxTfUKGQlEUTDqek5Nz+vRp+EnBsmxra2tdXV3/4OCeRx7R6XSNfX0VubnigoJXGhraY1wvAPP/FhYWVlRUNLe1/VUu9+P4FxyO7W73jEaSWOHz+du2bfv4448TN2yw5OeDKRoTAIDjOIZhZrN50rz10ROpCBQKhUQi6dHrq7zelvmfxJ6U7du3d3V1QT8TAEACTV8SiwdHRgbWry87cCDocv2ovb2HJB0E8Whi4giGfTI0dCGWSFKrV68WCoVyudzlcsXDwtFQkIKekvhU0ARBZGVlrVmzZtWqVe3t7UqlEi40gEQ5iHY6nbt27QoNeOjC8Q2zfQIVCkVqaipBELm5uevWrZNKpaHju9CaoRu1Wq3T6dy9ezfLsn6/v6y5uZQktbt2lZaWVlZWrlu3rrS0NDMzMxgM7tmzR6VSyeVyi8USzVpEi8XS1dUVOXvmdrvr6urkcvmeBx9k09LeffddJ8sCAEQiUWVlpdlsxjCMiW6pS2dnZ3FxcXJyMtQarqwsxerVY27346OjKprunqNFYitXrnQ6nU94vb6CAprHm6YxMQxTKBQWi8U0147SGIYVFRVdu3lzsbQzjuMHDhw4c+ZMRUrKCx0df5RIhng8aFYeGhrS6/VZubnk4cOdTmeWWr1PrX6rocEcy3qlbdu2JSYm4jguEAhMJtN8D6IxDKusrMQwLMrZ3XhQ0PPoB61Wq/Py8uC8SltbG/xEipL4zOqt1WoffPDBqfZev379008/jeY827Ztk8vlx44dC92opmlzjBbVgoKC8vJysVgcCAQIguDiKM6ooDEMs1gsa9eu7e/vp2k6vbd3NDOTnbBZS6bwvX3zzTdv5UM+DDiWz87O3rFjB9zS2toKs2XPCI7jBw8e5PP5AwMDlZWV9fX1GzZsaG9qavn443GSVE/7OSKXy9esWZOUlJSQkMDn830+n16vv3jxYph6/Yd/+Icb1659aWDgck0NmKkxAQCXLl26cePG7CajpoLP5z/55JMvvviigGWfHxv7ekrKHJ48DLlcnpeXh2HY1atXuY1wSpBlWZJh+B5Pl90e2cNlMtmdd97JsuypU6c8Hg+Px9u0aZNCobBarQRBBAIBr9c7NjY2GhG0r7KysqioiFs/dfnyZS4i1XyAYdjGjRs3bNgAAHjhhReiUbvx4Ac9XyNokiTXrFnT0tLS2dkpFouTkpJiej3G4QhaqVR+7Wtfm6aCWCweGRnx+/0zjgT7+/u3bdtmMBhCv+n+w2Do5fMtsejoqqoq6NpMkmRobs2pFDSGYSkpKQqFQiqVJiQkEARhs9nS+vpGcnJYHOeG3vwpBqFJSUmDg4MxvWinQaPRPPLII6HjA61Wu3Hjxq6urhn9IliWbWtrIwhCq9W+//77Q0NDly5dKikvTy0pGW5v/+n4+N/FYu9ktum8vLyvfOUrnZ2dbW1tXefO7Tp69N3eXpnD8RuDYbiighkcPOBwtAqFhampd/f1DWdkmEtKonnbAQDS0tKcTuccvsAAADRNb9y4sbGxMcAw4yQ5Om9m6JSUlI0bN+bk5Gi12pKSEp1Od++999511106nc46NPSFkydvlpZSAoFAIEhISHC5XKHGnEAg0N7e3t7eHgwGS0pKNm/enJiYKBKJlEqlXC5Xq9U6nS4xMdHv99tsttCLbtq0CboVwZ8URVkslls0E00FTI20fft2+PPy5cvRWO3iYQQ9Xwpao9Hw+XxoiHQ6ncXFxQMDA9GPL+JNQUul0nvuuUc+bYgMmqYLCgpKSkoiA7VE0tPTc/jw4evXryuVyvvuu08oFP7JarURxPRLq0PZsmVLcnIy1MvTqA8OtVqdkZEBLX2BQEClUhkMBsXwcPG1a/2FhSBk7msqBS2TyQiCGB0djTLu0vRIpdKKiorI7StXrtRqtYFAAJrpp0Gv13d2dnKdqqOjY926dQEc/63b7cXxfU7nps/7jSQkJDz22GP9XV2P1tYGU1Mtcnkjn9/t9fY5HO8SROnatXfs3p2p0aRs3lydlTU6NhbMziYIIkoFjWGYVqu12Wy3aEjFMKykpATO3LIsK5fLJRKJXq8f5fEK/H7zFF8GBEGkp6fP7tJJSUlVVVUwjCeGYTKZrKKigmXZkZERt9stA8CiVrvkcgAASZJqtVqtVvf29k76LK9cuVKlUnEdCUw0jlAoJAjCbDbz+XypVErT9Jo1a3Q6Hde8AAClUmm32zn/ollQWFj48MMP+/1+o9EYNkgSCARf/epXuZ9LSEHPlwePWCzmxkEURVEUJRQKJx0ZhXmDxRsymezJJ5+8efNm6kz5rmCXxTAsmpQNTqfz+PHjTz31FADgz3/+8549e65evZoVCMgYpjkKgyNBEBKJhIh6uJ2amorjeHd3N+y4GIb19fVhGOZLSjqzd2/0rb9y5UqTydTW1hZN/54GmUy2c+fOqfbm5ubqdLrx8fHOzs7Ozs7oT/vHP/7xoYceyszMPH/+/EmCSAsGCYL4utncw+d3lZX9a26u4W9/ExQWXrj7bpCQUIlhLMsWud16vb67u/v48eMncBzH8YSEBOjipo5xxCoWiwsKCtxud6iijNXoQZLkXXfdBQB4/fXXXS5XU1PTvffe29zcDADY43Ynsmz95w1Q8Kvojjvu0Gq1AwMDR44ciTynSCQqLCzMzMx0OBydnZ1+vz8tLU0oFDY2NuI4npubC7VzYmJiYmKix+MZHR11u90Zvb3ZHR1nd+/2fH4CNjEx8c477zxz5kzYe1ooFE7T8zMyMjQaDUmSJEnabDapVBo5DuCenUOHDrndbqfTqdFo6urqOPPINI2ZnZ29Z88eAMC2bduGhobCPmWif1LijfmyQefk5OA4DqPMAAA2bdrU3NwcaZvn8XiFhYWRh2s0mgsXLtA0LRAIKIpaxAKPx9u2bRuO41AlYRjGsizLsjiOMwzDsixBEDRNMwxDkiRN0/B9S5Iky7KwMpgYRzAMwx0OC9Bw7PP5qqurL126JHA6t9+48deqqtCmCDsPLPD5fPh4EATByTNpAQCA4zhMLxS6hWXZqvZ2o1rdr9VCSeAueDvwFuANhh4F72LGuEszYjAYYAaDyMakKIplWdiYwWCQx+Nxo6HIxgxrVShqUlJSTk4O/BM4nU7r4CDP6UzbtMlw9OiAQOCVSLhrsSzLMAxBENBuA7dANQEvOmljhu6KrMMwDGduwnFcGOP8HoZhXHeCWyorK5ubm4PBIMayAIAw9zWCIHw+HxSboijRZN4scOUL11e5Bvf7/XB9KU3TOp0uJyenvr4ex3GJy+UhSYXP5+TzfXx+6C1zXSIYDEKXTa4/kyRJURRsdtiqYc0StiWy6Ww2m0wmw3EcOsZwZ+ZaZtK7g8AHFl7dbDaHhZoyGAxqtZrT76dOnQoEAjNqgNLS0kW3Qc/XCDq0hwEA4B8vslowGJx0ZmDbtm1QTXAWz8Uq+P3+48ePz3zDIaSkpMCPxNCNsKtxn8PcQxIIBHAcN5lMGo1mjKL+WlUF63B6OewTGx41MjIS/YxKSkqKWq3++OOPw7YLHY4TMlmsy1IAACtXrpTJZHDYNQ1nz54NBAK7du0CABiNxtD6Fy5ciOZCarW6oqJCIBDAdgjV1FyDsCzrcrn4fD58bWAYptfr4cpplmXVarVKpQIq1enTp89cuTLNtTQajUKhCAQCwWAQJjONRsJIxGLxpk2b4Hdhd3e31WqVyWQrV66M8nCWZT/++ONAILB37164ZXR0NDk5eXBwEKrmrx49evKOOywKBdxL0/Tx48cxDFuxYoXFYikuLk75/FxifX195ARdGARBfOtb33ruuefsdruAZV8aG/tnnc447ahTpVKlp6fzeDwejycWi91ud09Pz60YKCBlZWUWi2V8fJxTF9nZ2VqtNiEhAZ/a4X1kZKSpqSnUfo1h2Be+8AXuZ0NDgzcihWY0GmDRmS8F7Xa7udA8AoEAx/F5Mv/HIR6Px+12i2PxBh0bG8vPzx8bG+NT1N2NjcfWrZtDecrKysK0ebnP58Pxo7ONOs0Z2dVqNcx/Gsnx48fh2jD40Q19NgQCgVqt5r6rZsRsNtfV1eXk5KhUqkl9S6BDd3NzM4ZhCQkJWVlZiYmJUJX7fL7+/n7oxB2NtjUajbeuXwAAHo/H6XQqFAroPkzTtNFoHBwc5BTu9Fy8eBFaAk+dOrV7924AgMFgWLVqFbfC8OjOnTRJKh2Oq+fOdRCEz+cTCoUPPfQQY7Oli0Q/++//pmk6fSIu48mTJ6N57rZv337lyhXWat3rdv9VJns8CncRi8UCM6QQBCEUCimKmhOlFjns6O3t7e3tBQDk5uaWl5dPelRHR0fYbcLxuEKhcDqd3d3dS1f5zJeCNpvNRUVFSqXSZrNlZWUZDIa59UCKZ2w2W2NjY2FhYWJ02TABAA6HA9qUAyxrminKhNPpnCZqaCQ5OTnnz58P3bLD7f7dxBDsVrBE5M+FNDU1hX0wsSwLLbOx+rp6vd6WlhahUJiTkwOnAUKHz36/H9pn4QPZ0tICPcFdLlcwGFysLldfX5+dnT02NsZZ6imKOnLkyIEDB6Y/0OVyca4O0P8vKSkJvmBkMhm0ELokkoaGBsHg4AGjsSkxcStFfS0//z9rawsuXVpRUlJcXCxubgbp6T09PU1NTdFIm5CQUFpa+vzzz2/1emcRmImmaXfsccBnQXd396QKuqenZ9LJrTNnzgiFwqWrmiHz5cUBPzwLCgqys7Npmr5582aUyxAg8ebFESuBQMBms8GPZW5pH/i8MwBX9vl8FotFqVSKRCK73T40kc9w0rlTDMPsdnv0jYNh2JYtW0KdykUMc37uVkhDj73QLV1dXaHOFXMCRVEmk2lgYKCvr29gYGBsbMxut/f390M/bq4aHDh7vd5bnMO8daxWa6RND8aum+aozz77jPsSZ1l2fHw8Pz8fAABtxHDiC9qaGYVC8oUvSKXSyvXrPxscrO/quikQ1FPUoUOHNB99ZBgaujCtWQPac6GEX/7yl8f+538UZvMFsXh4kRaUR8nQ0BDLstyn+fj4+KVLlwYGBqb6c9+iu9Fy9uIAE9+n83f+OMfj8XR3d8NCcXHxVNUCgUBXV5dcLh8YGFi3bt3g4GDe6GiSzVZbVDQnYmg0mtBBa43bXej3vzRZYOjZ0dDQwH1Q19fX32LkoGlgWZZ73oLB4OJO3cwO+EaZZhw9lUKxWq25ubl8Ph/OWMD197W1tSkpKfXDw5d6e2E1j8fzySefFD322MkPPljt9fJZtn7CzlZWVlazZQvpdrcZjUlmc4lON5Kbq/j0U9zv72BZfl9fRyzJWxcLl8vV3Nys1+urq6tNJlNTU9NS7AYxERehZpc3brfb4XDIpjBcBINBvV7v9XplMhk03I8EAvjUXxtw5Bj91bOyskLrNwsEMYVKmBGGYa5evbpmzZq6urqxiQxDiGno6OiIzA/pdDrPnz8faUjlyp2dnStXroST6u+99x7cFRalHgDQ1NS0bds2sVg8QNM7Xa56AB5nmE2pqadKSqy/+IWApnuqqpRG49HPPqsVCtdrNBKSPP3222BJ5as1GAwnT570+/23g9UUxeKYd7xeL47j0B4dZuIIBoPj4+Nms9nv98OHs6SkZNBgMMvlYDITh9/vHxoaiinmw+bNm5uamqD5ssTvdxKEc67Dv9nt9vb29mU/lpkrjEbj8PAwQRAwXx+cVLx06VLkJBvDMMPDwzk5OQAAv99vMpneeuut0Cguk0IQRGpq6s2hIUt29sGDB8k1az4YHj57/vx1Hq9BIDCZTM1e7wBJAgCGPZ6+pflXm5OlUjOyzE0ciOlhGMbtdnMLMaxW6+nTp8vKyjwez9caGj6pqLBEeFm4XK6YpgcBAKmpqdzA9gGb7RdRz1si5g+n0wn17Iy+kk6n88yZM/n5+WlpaT09PdGYjxoaGp588smqqiqTyXT27NllM9C5PUEKeiEwGAxSqTQtLY3bwjCMwWCIfD4vXryYk5Nzwev1zcV0jUgk8vl83PTsPy/lRNG3LTab7cqVKwMDA+Pj49HU9/l8zz///HxLhVgYbt+ksQsJjEfOGQGCwWBXV9eko6fx8XGZTDaiVvsjFsLCqGAxXTc7O7t3YgbpkN0uicWRBhE/QI+OxZYCsQggBb1AmEymxsbG3t5ej8djt9sjp3cgTqcTrnD5XydPhu3yeDyxPqVZWVmcgk6hqIVJtIpAIOYKZOJYOHw+X1dX1/Tr6JxOJww48OHnI3LMjuTk5M8++wyWn1Orb/2ECARiIUFDqvgChpsBAAyp1WSIRQJG7Yj1bDKZDNpVvmGxKBd77QYCgYgVpKDjlJX9/esmkn8DAKxWa1tbW0xn4IKQAQDMBGFbshEXEYjbFmTiiDtglqAbGRmSW3PA1Gg0nMf0/yyplQgIBAKCRtBxB0z84+Pz6Vsb8yYlJUGvj6/Y7VURsRYRCET8gxR03OF0OoVCIcuyh8+eJW/BcJySkgLDIvfy+W23HGIfgUAsPEhBxx0Oh8Nisej1+j9s3gwH0T6fL1YPaAzDiouLocfIVaHQjRzsEIglCHpu4w4YWcntdutxXO5wAADcbnesHtAlJSXd3d2BQGCLx3P41tKYIhCIxQIp6LjD4XDA6KM9589vO3dueHgYxqSPifXr18Mg/b083odLIZIkAoGIBCnouAPmJwQADPN4/y4QdHR0xJTrAAAAk9vDdCdeHDfGniYDgUDEA0hBxx2h+VUVNE3EHvS2tLS0paUFAJAfCDw1RVYqBAIR/yAFHXdwiwkBAF9wOIpi94ZevXo1jGY5RJIvz13yFAQCscCgj994xO/3CwQCv9//klodmCwz4TQIhUKRSATtG+kU1RkRFQ+BQCwV5mYEjWFYXl5eTU0NLySKsVqtXr9+/datW1etWiVAfrixYDAYtFotAMCLYRUxpiVevXr19evXAQDJFPUEsm8gEEuZuVHQ5eXlNE2HpggjSbK0tLS9vb22ttbhcMDkxIgoGR8fhwoaA+CbZnNMx65cuRJ6fehJ8l8nEoQjEIilyNwo6N7eXi7uMEStVjscDrvdzrLswMCARqPB0VqJqDEYDDqdDgDAAvD1lJToDxQKhTwez263Eyxb43J5UZsjEEuZuXmAYU7SUMRiscfjgWWKoiiKEgqFc3Kt2wHOxAEAWBEMJkWdIrOkpKS1tRUAUOL3Jy9IYk0EAqJJRhgAABGjSURBVDF/zGVW7+zs7IGBAei0q1arAQCWCRtoWlqa0WiMjGjM4/FKSkp0EUgkkuHhYZZlofH6div4fL6tW7deu3YNALDK6y1lmDahMJrD9+/f/9lnn/l8Pj1B3ExIiJPbQQVUWIoFrVa76Fm9sezs7Fkclp6eDg/s7e0dGhqCG3fs2FFbWxsMBgEAWVlZfD6/YyKi8datWy9fvuydLKYaSZJYhKNCVVXVpUuXZiHYsuE73/nOr371q5gOSUlJufPOO3//+9+X+XwpFPU3tIAQgbgFKioqOjs7uVSii8Is3exGR0cNBgMAgJriO9rtdqsmPHAFAgGO474pvBEmPQMb++qMZQZc8O1wOAAAu12uU1Fo2507d545cwYAkEjTrchtBoFY+szSBk3TtN/v9/v99BTxMM1ms1QqVSqVGIZlZWUZDAakc2Mi1Ay9yeOZMSG3RqMRCoWDg4Mky56VSIZD/B0RCMQSZQ4WqvB4vM2bNwMAMAyDhQsXLgQCgZaWlsLCQj6fb7fb4cwVInrGx8d1Ol13dzcAIBpvubvvvvvUqVMAgOf0+v+t0RhQ/A0EYukzB49xMBiEX9ZhmM3murq6Wz//7cnw8DB82wEASJbd63QekcunqpySkiIQCAYGBgAAL6pUSDsjEMsD5Ccbp+j1eugKDQCgMKzY75+q5o4dO+67776jR4/yWXaLx9OBrM8IxHIBDbXiFJqmMQzjMnP/n4n4dmEUFhZmZWW9+OKLLMvWuN0iZOhHIJYRaAQdv+j1+qSkJFhW0fSDNltYBYIg9uzZ8/7777Msy2PZT6XS4zLZgouJQCDmC6Sg45ehoaGMjAxYthIEL2J0XF1dfeXKFY/HkxkIvBhj0kIEAhH/IAUdv4yMjKSmpsIyC8AbEWs+Kysr4TTsOEn+YGKsjUAglg1IQccvY2NjSZ9Xu2+MjAgnxtErVqwYGxvTud3/bjB4cdyB4iIhEMsO9FTHL36/PyzC1H9qNJyZY/PmzRcvXmQAeBXlTEEglilIQcc1Ho9HLBZzPzv5fDVFbXO7pVJpntd7V1PTCI83iryeEYhlClLQcU2klcNCkqV+f/WGDa2NjUeRzwYCsaxBCjquGR0d5eYJIT4Me1GlKikvPzoyMo7GzgjEsgYp6Limr68vKysrbKNOpzOZTIsbphaBQCwASEHHNUajURsRKam6uvo2D5aNQNwmIAUd71itVi7rDY7jUqk0MzOTy4SAQCCWMciIGe90d3fn5eVdvnwZw7AHH3xQrVafPn0aBddGIG4H0Ag63rlx40Z5eTmGYQcPHtTr9b/85S+vX7++2EIhEIiFACnoeMdisUgkkvvuu8/tdsOQ/AgE4jYBKeglwI0bN2Qy2UcffbTYgiAQiAUF2aCXAGfPno1MfI5AIJY9SEEvAViWRbOCCMRtCDJxIBAIRJyCFDQCgUDEKUhBIxAIRJyCFDQCgUDEKXE6Scjj8TZu3BhNzeLiYolEwjAMhmEsy3L/w723OLcmlUpdLlfYxtCTh5W5LZG7uAJBEDwez+fzhVWLhhnrCwQCmqaDwWA0p4WNEylw5B1JJBK32z0fE5WhJ59FY05agJAkSRCE3++f6tJRNv6k1UQiUSAQoGk6tBqIrjFD60/KpL0uGqbpmXCvSCRyu92zaMyp2orH42EYFggEbqUxJ60mFov9fj/DMFM1ZtiWGc8ZSkNDQzTVCIII/RMvCnGqoGtra6OsmZmZeeTIEbfbDQCAzwBXuHXXtMOHD7/zzjuR27nnDV6LYRgcx+FLAnz+aYzsOikpKSUlJZ9++in0zcBxPKxO5MMc/cbq6uqxsbGenp7QJw1eIkyYSSUMPXnoDX71q199//33GYaJtQFnBMOwBx544N13351dY3L1IxszNzc3KSnp/Pnzs27MsF0gpDF37drV3Nw8NpGoN6bGnLFnTtXroiFMAK4xAQByubympuYvf/lLWO/lDoH1w+40sh1CW6O8vJzH4zU2NoZp9mhesZGNE/pz3759tbW1VquV2xhZf3aP+eHDh8+fPx/TIYsIMnEgEAhEnIIUNAKBQMQpSEEjEAhEnIIUNAKBQMQpSEEjEAhEnBKnXhwxwU0Bh07og9idbyY981Qn4bZHTluHuhaAiEnqSA+QSSe1w2aoJz0JtzH0nFDmUGHg9sgLgWn9GUIbk2EY6PA0u2acntBGnsPGDGuHWTRmpFtCaGNGtkaUjQlm6pnT9LqYCLt9TvLpGxOWo+mZoS02aR0Q0raRInGHTNUzOSHDJLzFx3yeuvE8gWVnZy+2DLeEWCz2er3zdHKRSDTnJ8cwjM/nQ9dRENFdpvIZmrQHR1bj8XgURYX6w3GPx630y/lohzk8+aSaAsdxkiSDweCk9cO2TNo4kRu5xgz9C84589fa0ZyZ6y3R9EySJHEcD2vkWBtz0voikcjn881HC4tEIo/HM+ennSeWvIJGIBCI5QqyQSMQCEScghQ0AoFAxClIQSMQCEScghQ0AoFAxClIQSMQCEScghQ0AoFAxClIQSMQCEScghQ0AoFAxCmEUqlcbBk+R2FhYUVFRU5OzsjIyOzSGajVangGlUpltVrhSTAMy8vLW7169dDQ0FwFnscwrKamRiQSGY1GbmNRUdHKlSv7+vriUOY5FHghxQ5jxh4ik8mqqqqGhoYWXVSJRFJaWpqfn5+ZmanVan0+36yXCM63/LBv8Hg8s9kMt2g0mry8vPHx8TiUlhM4MzMzKysrIyNDoVD4fL5pEuhMj06ngwKr1WqbzUZR1JwLPDvibgR98+bN06dPz/pwkiRLS0vb29tra2sdDkd+fj7cXl5eTtP0nK8cpWlaoVAQBAF/YhimUqli/VsupMxzIjBkgZuaYxY9ZLFEraioMBqN58+fP3fu3ODgYEVFBY/Hm8V5FkZ+mqa1Wq1EIrnF8yxka1+8ePHMmTP19fU2m2316tUJCQmzOIlYLC4sLGxubj537pzD4SgsLJw/gWMl3oMlpaamrlixAsMwn8/X2trq8/lkMllxcbHJZJLL5UKhsLOzk3vnAwDUarXD4bDb7QCAgYGBLVu2wJQ/vb29TqczKytrbsXDMMzhcCQmJsKBBry6TqebXniXyyUQCBobGxde5lgFXrduXX9/P6ys0Wiys7MvXbq08GJPRUJCQnFxcV1dXVg5jEURFcMwsVhsNBrhEz4+Pu5yueDQLDExMTc3lyAIr9d748aNYDAol8uLi4utVqtUKiVJsqOjw2azLbD8GIb19vbm5+dfu3YtbJdOp4MxIQKBwM2bN91u99q1a/v7+w0GAwBAo9FkZmZeuXJlIaUNxe/3DwwMkCSZl5d39epVMFkLAwCSk5Ozs7NxHLdarW1tbdy4hGXZlpYWmAfSYDBwj8NC9uSpiLsRdCg8Hq+goODatWsXL170eDywpViWlUqlNpvt2rVrvb29YbFExGIxFwmFoiiKooRCIQDA6XTOh4QYhun1+qSkJPhTp9Nxn4RTCS8Wi00mE6edF1jmWAUOrazRaEI/eBe4qW+FRRGVZVmTybRy5cqkpCSBQAAAgLlxBQJBSUlJS0vLxYsXzWZzcXExmOjVJpOpoaGhu7sbblxg+TEMGx0d5fP5Go0mdLtQKCwqKmpqaqqrqzMYDFA2g8HAVdNqtVBTL6S0kYyOjiYkJGAYNmkLi0Si/Pz8xsbGCxcukCSZkZHBHej1euEgjyTJtLQ0zgAYDz05rhV0MBg8d+4cNNtZrVb4ZwYA0DQNG9Tj8cCuz8GlyORqcp/z84TJZEpISODxeARBqFQqk8k0vfAAgNDevPAyxySwXq9XqVQkSWIYFqagF76pZ81iidrc3Dw6Opqamrpp06Z169bBoVliYqLD4YDjteHh4cTERBjUjaIo2KstFotYLA41hiyY/CzLdnZ25ufnh8auU6vVVqsV6tyRkRG5XE6S5Pj4OJQcwzDug2yBpQ0DJrMnSXLSFlapVDabzev1six748aNwcHBsMPz8vLuuOMOkUjU29u7ANJGSbybODIyMjQaDcuyPB7P5/PBjdzUUFhgWQAAwzAk+f/fFEmS8KNy/mBZ1mg0arVaiqIsFkto15xUeIqiwqxaCyxzTAL7/X6Hw6HVar0TLJbYt8JiicowzNDQ0NDQEEEQGo2muLjY5/ORJKlQKKqrq2Edmqb5fD4AgBOJZVmapnk8HhfGcyHlt1qtTqdzxYoVbrcbbgmThGEYHo/n9Xp9Ph8csXo8Hq57L7C0oYhEIoZhKIqatIVDxZh0brmrq6u3tzctLa2ysrK+vn4BBI6GOFLQGo3G6/W6XC4cx8HElIVOp7t69SpFUcnJycnJyTOexO12q1QqWBYIBDiOh3adeUKv12dlZVEUNTIywm2MXviFlzkmgfV6vU6n83g8YRP6Cy92ZA8JfUOHKoUwFqVXCIVCmUwGv5dpmtbr9cnJyTKZLBAIWCyWpqam0Mp8Pp8bMuM4ThBEaJDlBZa/q6tr7dq13d3d8GcgEOAm33Acx3E8EAiACSsHjuN6vT708EVpbQBAcnKy1WplWXbSFg4Gg1wLw89HTiqZTEaSJPQ2GRwczM3NFQgEs3YImVviyMShUCjy8vIIgkhOTna73RRFCQQCn88HX4lJSUnRfCiZzWapVKpUKjEMy8rKMhgMCzAJa7PZRCKRVCq1WCzcxuiFX3iZYxLYYDAoFAqtVhumoBde7Mge4vf7BQIBFFWr1U514KL0CoIgSkpKtFotfIUolUq5XG63281mc0JCglgsBgDI5fKCggJYH8dxaAPR6XRutztUQS+w/F6vd2RkJDMzk7u6UqkUiUQAgLS0NLvdDkeg4+PjKpUqMTExzGS38K3N4/FWrFiRmpoKXyqTtrDZbFYoFBKJBMOwwsJCbmYFAMDn80tLS+ENJiUlBYPBONHOIK5G0H19fSUlJVu2bPF6vW1tbWBihmrDhg1+v7+np6eioiIvL29sbGyak9A03dLSUlhYyOfz7XZ7a2srAIDH423evBkAgGEYLFy4cAGOAuYElmUNBgOXSQgSvfALL3P0And1dQWDQYvFwufzw8ZBCy92ZA/x+/0jIyNVVVU+n89qtU7l1L8ovcLtdjc3N2dnZxcVFQEAPB5PW1sbnHdqa2srLy8nCIKiqI6ODljf5/PJ5fKcnByWZdvb2xdX/r6+Pu4Tyu/3t7a2VlRUYBgGy3C7x+OBW8LU2UJKu2nTJgAAy7J2u72hoQE2byAQiGxhv9/f3t6+evVqAIDFYgm1QZvN5sHBwcrKSpIkodfH/AkcKyijCmJmioqKnE7n8PDwYguybJHJZOXl5RcvXlxsQRDxRRyZOBDxiUQiUavVYXZGBAKxAMSRiQMRh+Tm5iYlJd28eTNuPTQQiGUMMnEgEAhEnIJMHAgEAhGnxLWJQ6PRQJ9Ep9PZ3t4O1zKp1eq8vDyBQOBwONra2uAMcvQ1kcBI5kWReclJvoREXaICR0PchRvlEAgEq1evbmlp6ejoEIlE6enpY2NjJEmuWbOmpaWls7NTLBYnJSUZDIboayKBkcyLIvOSk3wJibpEBY6SuDZxtLe322w26LQL3c65QFksyw4MDMCFTDHVRAIjmRdF5iUn+RISdYkKHA1xIcSk+P1+bukaDHQCpgiUFX1NJDCSeVFkXnKSLyFRl6jAURK/CppDrVanpaV1dnaCmQJlRV8TCYxkXhSZY5Vn0SVfQqIuUYGnJ64nCQEASUlJWVlZjY2N0GY/TaCs6GsigZHMiyLzkpN8CYm6RAWekbgeQcNMDY2NjVyUS7fbLZVKYTk0UFb0NZHASOZFkXnJSb6ERF2iAkdD/CpoHo9XWFjY1NQU6u8yaaCs6GsigZHMiyLzkpN8CYm6RAWOkvhdSZiSklJcXBxqGDp//nwwGFSr1fn5+VygrGAwGH1NJDCSeVFkXnKSLyFRl6jAURK/ChqBQCBuc+LXxIFAIBC3OUhBIxAIRJyCFDQCgUDEKUhBIxAIRJyCFDQCgUDEKUhBIxAIRJyCFDQCgUDEKUhBIxAIRJyCFDQCgUDEKf8X+CIdw1MaRekAAAAASUVORK5CYII=\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"xSLELQT3CU7s"},"source":["Now lets take a look to the Relative Strength Index (RSI), on top we can find the plot of Bitcoin\r\n","and below is the Ethereum one.."]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":977},"id":"MA-nB98F1sod","executionInfo":{"status":"ok","timestamp":1613936647463,"user_tz":-60,"elapsed":2198,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"5f7fc39c-3e2b-43a0-f154-6c9118aed134"},"source":["%%R\n","`BTCUSD` %>% chartSeries(TA = \"addRSI()\")\n","`ETHUSD` %>% chartSeries(TA = \"addRSI()\")\n"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}},{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"yQfQsJfJCj00"},"source":["Now lets take a look to the Average True Range (ATR), on top we can find the plot of Bitcoin\r\n","and below is the Ethereum one."]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":977},"id":"YWpsZlgP1tZk","executionInfo":{"status":"ok","timestamp":1613936647466,"user_tz":-60,"elapsed":2183,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"50f46198-b9ef-456c-efae-8cf49324a165"},"source":["%%R\n","`BTCUSD` %>% chartSeries(TA = \"addATR()\")\n","`ETHUSD` %>% chartSeries(TA = \"addATR()\")"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}},{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"Vsz_RKHPCrLU"},"source":["To get a better overview of the possible correlation between the value of these two assets, we\r\n","should plot the variation of adjustment of both in the same graphic with respect of the date."]},{"cell_type":"code","metadata":{"id":"QBj-iPjdn-9r"},"source":["%%R\n","tickersEB <- c(\"ETH-USD\", \"BTC-USD\")\n","portfolioPricesEB <- NULL\n","for (ticker in tickersEB){\n"," portfolioPricesEB <- cbind(portfolioPricesEB, \n"," getSymbols.yahoo(ticker,\n"," from = starting_date, \n"," to = final_date,\n"," periodicity = \"daily\",\n"," auto.assign = F)[,6])\n"," \n","}"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"xOQf-3RArS7d"},"source":["%%R\n","portfolioPricesEB <- as.data.frame(portfolioPricesEB)\n","portfolioPricesEB <- rownames_to_column(portfolioPricesEB, var = \"Date\")\n","dfEB_for_plot <- portfolioPricesEB %>%\n"," gather(key = \"Ticker\", value = \"Price\", -Date)\n","dfEB_for_plot <- na.omit(dfEB_for_plot)"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"PwIJiNhNs8Of","executionInfo":{"status":"ok","timestamp":1613954331320,"user_tz":-60,"elapsed":1064,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"7b540512-5166-4312-d45e-a9125e569bcb"},"source":["%%R\n","ggplot(dfEB_for_plot, aes(x = Date, y = Price))+\n"," geom_line(aes(group = Ticker, linetype = Ticker))+\n"," theme(panel.background = element_blank(),\n"," panel.grid.major = element_blank(),\n"," panel.grid.minor = element_blank())+\n"," labs(title = \"Price adjusted 2020\")"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"SdldrX9AHCAi"},"source":["\n","In principle, from the previous graphic we could conclude that our initial conjecture was mistaken. In the previous graphic we can see huge variations on the value of Bitcoin and very small\n","variations on the value of Ethereum. But the previous graphic was done with the data with no\n","processing, therefore the high value of the Bitcoin could be the reason why we see very small\n","changes on the value of Ethereum in the graphic and no correlation between the two currencies.\n","
\n","\n","To take away the noise made by the high value of Bitcoin, we must normalize the value of both\n","currencies before we plot both values in the same graphic.\n","
"]},{"cell_type":"code","metadata":{"id":"XWjLeCmhU-NL"},"source":["%%R\n","ETHNorm <- na.omit(portfolioPricesEB)[2]/max(na.omit(portfolioPricesEB)[2])\n","BTCNorm <- na.omit(portfolioPricesEB)[3]/max(na.omit(portfolioPricesEB)[3])\n","NormEB = data.frame(ETHNorm,BTCNorm)"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"e5tDGThYX8UO"},"source":["%%R\n","NormEB <- rownames_to_column(NormEB, var = \"Date\")\n","dfEx_for_plot <- NormEB %>%\n"," gather(key = \"Ticker\", value = \"Price\", -Date)\n","dfEx_for_plot <- na.omit(dfEx_for_plot)"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"PUj0oqkrZggG","executionInfo":{"status":"ok","timestamp":1613954341331,"user_tz":-60,"elapsed":787,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"9d46f2bf-d934-45e9-aa0c-3b3d9304df50"},"source":["%%R\n","ggplot(dfEx_for_plot, aes(x = Date, y = Price))+\n"," geom_line(aes(group = Ticker, linetype = Ticker))+\n"," theme(panel.background = element_blank(),\n"," panel.grid.major = element_blank(),\n"," panel.grid.minor = element_blank())+\n"," labs(title = \"Price normalized 2020\")"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"nmO1ZTuFJMg5"},"source":["\n","After normalizing both values, we see that both graphics overlap in most of the changes when\n","the value drops (or increase) \"drastically\", as we can see from the graphic above. \n","
\n","\n","Finally we plot the value of Ethereum as a dependence variable of the value of Bitcoin. With\n","this, we try to understand the value of Ethereum as a direct result of the value of Bitcoin. This\n","graphic will give us a better idea of their correlation, it worth to mention that the date is not taken\n","into account for this plot. Therefore, we don’t see the evolution of the values but the possible\n","relation between them.\n","
"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"VyEzlghwqUoQ","executionInfo":{"status":"ok","timestamp":1613936648124,"user_tz":-60,"elapsed":2745,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"9d7f7acf-15e8-4d29-821b-b8121be24936"},"source":["%%R\n","dataEB <- na.omit(portfolioPricesEB)\n","ggplot(dataEB, aes(x = BTC.USD.Adjusted, y = ETH.USD.Adjusted)) + geom_point()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"H-fRHgT8QAbh"},"source":["As we can see in the previous graphic, the relation we have been observing resembles a line."]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":532},"id":"BLS74KPpxDbr","executionInfo":{"status":"ok","timestamp":1613936648126,"user_tz":-60,"elapsed":2732,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"05499769-9f99-4cc0-9fd3-db11e67633ae"},"source":["%%R\n","ggplot(dataEB, aes(x = BTC.USD.Adjusted, y = ETH.USD.Adjusted)) + geom_point() + geom_smooth(method = \"lm\", se = TRUE, color = 'black')"],"execution_count":null,"outputs":[{"output_type":"stream","text":["R[write to console]: `geom_smooth()` using formula 'y ~ x'\n","\n"],"name":"stderr"},{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"Fenrz0Rlx_vI"},"source":["###Exploration of Ethereum vs Basic Attention Token\n","\n","As we could see in the previous images, Ethereum and the Basic Attention Token have no many\n","similarities in the behavior of their value. We can also see that the months of February and October\n","show some similarity. To explore whether there is or not a possible correlation, we should look at\n","different indexes.\n","
"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":977},"id":"KAagQ0Dvsdcv","executionInfo":{"status":"ok","timestamp":1613931389211,"user_tz":-60,"elapsed":4595,"user":{"displayName":"Miguel 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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"Kf-0jsj-Raep"},"source":["Now lets take a look to the Moving Convergence Divergence (MACD), on top we can find the\r\n","plot of Ethereum and below is the Basic Attention Token one."]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":977},"id":"N0gukUIp14zr","executionInfo":{"status":"ok","timestamp":1613931389910,"user_tz":-60,"elapsed":5279,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"282d0db2-0e90-438c-c425-056b63c70f6a"},"source":["%%R\n","`ETHUSD` %>% chartSeries(TA = \"addMACD()\")\n","`BATUSD` %>% chartSeries(TA = \"addMACD()\")"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}},{"output_type":"d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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"nLao1qLARh-H"},"source":["Now lets take a look to the Relative Strength Index (RSI), on top we can find the plot of\r\n","Ethereum and below is the Basic Attention Token one."]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":977},"id":"obY--Oo82ktc","executionInfo":{"status":"ok","timestamp":1613931389913,"user_tz":-60,"elapsed":5265,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"b65e5b60-f0fe-4c39-a336-b56ef9bf4a08"},"source":["%%R\n","`ETHUSD` %>% chartSeries(TA = \"addRSI()\")\n","`BATUSD` %>% chartSeries(TA = \"addRSI()\")"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}},{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"_8TMg3EORszR"},"source":["Now lets take a look to the Average True Range (ATR), on top we can find the plot of Ethereum\r\n","and below is the Basic Attention Token one."]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":977},"id":"HTs4lsog2k_S","executionInfo":{"status":"ok","timestamp":1613931389916,"user_tz":-60,"elapsed":5250,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"fd3a578e-039f-4985-ed46-d3d0b672269f"},"source":["%%R\n","`ETHUSD` %>% chartSeries(TA = \"addATR()\")\n","`BATUSD` %>% chartSeries(TA = \"addATR()\")"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}},{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"9SGMVOVoSME6"},"source":["In the previous graphic we can see that besides February and October, we cannot see more\r\n","similarities. We should plot the variation of adjustment of both assets in the same graphic with\r\n","respect of the date, in order to corroborate that there is no correlation."]},{"cell_type":"code","metadata":{"id":"BbgVWN4Yw61Y"},"source":["%%R\n","tickersEBAT <- c(\"BAT-USD\", \"ETH-USD\")\n","portfolioPricesEBAT <- NULL\n","for (ticker in tickersEBAT){\n"," portfolioPricesEBAT <- cbind(portfolioPricesEBAT, \n"," getSymbols.yahoo(ticker,\n"," from = starting_date, \n"," to = final_date,\n"," periodicity = \"daily\",\n"," auto.assign = F)[,6])\n","}"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"J5W5V3K6xXVo"},"source":["%%R\n","portfolioPricesEBAT <- as.data.frame(portfolioPricesEBAT)\n","portfolioPricesEBAT <- rownames_to_column(portfolioPricesEBAT, var = \"Date\")\n","dfEBAT_for_plot <- portfolioPricesEBAT %>%\n"," gather(key = \"Ticker\", value = \"Price\", -Date)\n","dfEBAT_for_plot <- na.omit(dfEBAT_for_plot)"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"aPcz7PLxxXG4","executionInfo":{"status":"ok","timestamp":1613956865702,"user_tz":-60,"elapsed":1302,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"e0bc7a42-a175-4185-dc7a-e4791dca0193"},"source":["%%R\n","ggplot(dfEBAT_for_plot, aes(x = Date, y = Price))+\n"," geom_line(aes(group = Ticker, linetype = Ticker))+\n"," theme(panel.background = element_blank(),\n"," panel.grid.major = element_blank(),\n"," panel.grid.minor = element_blank())+\n"," labs(title = \"Price adjusted 2020\")"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"eSY2OcmBSm9N"},"source":["\n","In principle, from the previous graphic we could conclude that our initial conjecture is true.\n","In the previous graphic we can see huge variations on the value of Ethereum and no variations\n","on the value of the Basic Attention Token. But the previous graphic was done with the data\n","with no processing, therefore the high value of the Ethereum could be the reason why we see no\n","changes on the value of the Basic Attention Token in the graphic and no correlation between the\n","two currencies.\n","
\n","\n","To take away the noise made by the high value of Ethereum, we must normalize the value of\n","both currencies before we plot both values in the same graphic.\n","
"]},{"cell_type":"code","metadata":{"id":"WeXs8lXmxXB3"},"source":["%%R\n","BATNorm <- na.omit(portfolioPricesEBAT)[2]/max(na.omit(portfolioPricesEBAT)[2])\n","ETHNorm <- na.omit(portfolioPricesEBAT)[3]/max(na.omit(portfolioPricesEBAT)[3])\n","NormEBAT = data.frame(BATNorm,ETHNorm)"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"IvtHIDs3y7sx"},"source":["%%R\n","NormEBAT <- rownames_to_column(NormEBAT, var = \"Date\")\n","dfEn_for_plot <- NormEBAT %>%\n"," gather(key = \"Ticker\", value = \"Price\", -Date)\n","dfEn_for_plot <- na.omit(dfEn_for_plot)"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"YFy2TbECy7__","executionInfo":{"status":"ok","timestamp":1613931390958,"user_tz":-60,"elapsed":6204,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"f57384d2-bf19-4d94-86cb-db71ddace9cb"},"source":["%%R\n","ggplot(dfEn_for_plot, aes(x = Date, y = Price))+\n"," geom_line(aes(group = Ticker, linetype = Ticker))+\n"," theme(panel.background = element_blank(),\n"," panel.grid.major = element_blank(),\n"," panel.grid.minor = element_blank())+\n"," labs(title = \"Price normalized 2020\")"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"n4Esdes8Ty1I"},"source":["\n","After normalizing both values, we see that both graphics overlap very rarely.\n","
\n","\n","Finally we plot the value of the Basic Attention Token as a dependence variable of the value\n","of Ethereum. With this, we will see that our conjecture was correct and there is not a strong\n","correlation. It worth to mention that the date is not taken into account for this plot. Therefore, we\n","don’t see the evolution of the values but the possible relation between them.\n","
"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"wY4Ferp4nT4g","executionInfo":{"status":"ok","timestamp":1613956876092,"user_tz":-60,"elapsed":1183,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"bf69c3e3-f6cd-4a71-c9b6-1172c97bf157"},"source":["%%R\n","dataEBAT <- na.omit(portfolioPricesEBAT)\n","ggplot(dataEBAT, aes(x = ETH.USD.Adjusted, y = BAT.USD.Adjusted)) + geom_point()"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"Z88ZEK_9qJOw"},"source":["##The correlation between Bitcoin vs Ethereum\n","\n","In the previous section we explore the data of Bitcoin and Ethereum and found that their value\n","might be related via a linear function. In this section we will explore more the conjecture that the\n","value of these two assets are related linearly. The first step will be to test the correlation between\n","the two variables.\n","
"]},{"cell_type":"code","metadata":{"id":"E3FHa2f28xbQ","colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"status":"ok","timestamp":1613931424279,"user_tz":-60,"elapsed":631,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"89f7d006-1540-44f1-9101-33d96cf68e41"},"source":["%%R\n","cor.test(dataEB[,3], dataEB[,2])"],"execution_count":null,"outputs":[{"output_type":"stream","text":["\n","\tPearson's product-moment correlation\n","\n","data: dataEB[, 3] and dataEB[, 2]\n","t = 52.925, df = 360, p-value < 2.2e-16\n","alternative hypothesis: true correlation is not equal to 0\n","95 percent confidence interval:\n"," 0.9283361 0.9520370\n","sample estimates:\n"," cor \n","0.9413364 \n","\n"],"name":"stdout"}]},{"cell_type":"markdown","metadata":{"id":"cUkXsBK3-kq6"},"source":["\n","As we can see that the p-value is very low. Therefore we should do a linear regression to build\n","a model and test the model with new data, this in order to understand if the behavior exposed by\n","Bitcoin and Ethereum during 2020 was a singularity of that time interval, or if the value of both\n","assets are linearly related in general via the market cap and traders.\n","
\n"]},{"cell_type":"markdown","metadata":{"id":"e6_6grrTLHQu"},"source":["### Building and testing the model\n","\n","Even though we could build the model with all the data of 2020 and test it with the data of 2021,\n","we will divide the data in a training set and test set for good practices and to not build a \"perfect\n","model\" that is not good to make predictions. \n","
"]},{"cell_type":"code","metadata":{"id":"_AZUZW_Z3qUe"},"source":["%%R\n","split = sample.split(dataEB$ETH.USD.Adjusted, SplitRatio = 0.8)\n","training_set = subset(dataEB, split == TRUE)\n","test_set = subset(dataEB, split == FALSE)"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"GuRPtGc3cAWN"},"source":["%%R\n","regressor = lm(formula = ETH.USD.Adjusted ~ BTC.USD.Adjusted, \n"," data = training_set)"],"execution_count":null,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"uT0LA4HLLWuP"},"source":["Now that we have build the model, we can plot the test set of 2020 (the points in red) against\r\n","the prediction of our model (the blue line). We can also compare our model with our initial\r\n","overview of the correlation."]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"jTg5SRF5svdV","executionInfo":{"status":"ok","timestamp":1613931424987,"user_tz":-60,"elapsed":1242,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"3e9fda67-2e05-4aaf-c668-6e6d88f0ccc2"},"source":["%%R\n","ggplot() +\n"," geom_point(aes(x = test_set$BTC.USD.Adjusted, y = test_set$ETH.USD.Adjusted), \n"," colour = 'red') +\n"," geom_line(aes(x = training_set$BTC.USD.Adjusted, y = predict(regressor, newdata = training_set)),\n"," colour = 'blue') +\n"," xlab('BTC') +\n"," ylab('ETH')"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAgAElEQVR4nO3dZ2AU1d4G8P/MbK9J6B2BSH2liArSEQW5XE0CCZCA0jsSEKRc9YIUBaT3YiPUEFJoIgIieq8IomDBQgggRS4tzO4mu9k274fFJYQAyWb7PL9PZ3ZmZ/4nA09Ozs7OMIIgEAAABB820AUAAEDxENAAAEEKAQ0AEKQQ0AAAQUri/0OazWan0+nZezmOczgc3q0n+HEcR0Ti7Lg4e80wjN1uD3Qh/ibO082yLMuyrtMtlUplMlnhtQEIaIvF4vFpUKvVZrPZu/UEP7VaTUTi7LgIe61UKjmOE2HHxXm65XK5XC53dZxhmCIBjSkOAIAghYAGAAhSCGgAgCCFgAYACFIIaACAIIWABgAIUghoAIAghYAGAAhSCGgAgCCFgAYACFIIaACAIIWABgAIUghoAIAgxfj/mYRluWGVVCq12WxeLCYkSKVSIhJnx0XYa4lEwrKs1WoNdCH+Js7TzXEcx3Gu082yrFwuL7w29G43mpeX5916gp/rdqPi7LgIe+263agIOy7O0+263air4yqVqshaTHEAAAQpBDQAQJBCQAMABCkENACAd1y/zi5frvTiDhHQAABecPMm27OnPieH8+KVcQhoAICyunWLjY3VtWplW7DAxDBe2y0CGgCgTG7dYuLidC1b2ufO9WY6EwIaAKAseJ7p3Vv/xBP299/3cjoTAhoAwGMGAxMfr2/QwLF4sYn1QZoioAEAPGE0MgkJ+po1HYsWGX2RzoSABgDwQH4+k5Skq1rVsXq1UeKzW2YgoAEASic/n+nbV1eunHPtWh+mMyGgAQBKxWxmEhN1UVGCr9OZENAAACVnNjNJSTqFQlizxiiV+vxwCGgAgBKxWJh+/XRSqbBhg1Em88ed9BHQAACPZrXSoEFajvNfOlNAbtgPABBarFYaOFBnszEbNxrkcv89hQoBDQDwMFYrDR6sKyjwdzoTAhoA4CFsNhoyRJeby2zbZlAo/P0EVwQ0AEDxHA4aPVp78yaTmmpQq/2dzoSABgAolsNBo0ZpL11iA5XOhKs4AADu53DQmDHaixe51FSDRhOYdCaMoAEAinA4aOxY7R9/cDt28AFMZ0JAAwAU5nTSuHHa337jduzgIyICmc6EgAYAcBMEeuMNzS+/cOnpfGRkgNOZENAAAC6CQJMna777ThIk6UwIaAAAIhIEmjJFc/SoJDPTEBUVFOlMCGgAAEGgadM0X30lzczko6KcgS7nLgQ0AIjdzJnqw4elmZl8xYpBlM6EgAYAkZs1S71njywri69UKbjSmRDQACBm77xzJ50rVw66dCYENACI1uzZql27gjedCQENAOL03nuqtDRFVhZftWqQpjMhoAFAhObPV23dqti5k69Z0xHoWh4GAQ0A4rJihXLjRkVWVrCnMyGgAUBUli1TrlunzMria9cO9nQmBDQAiMfKlcq1a5WZmfxjj4VAOhMCGgBEYu1a5fLlyowMvm7d0Ehnwg37AUAMUlIUixcr09P5+vVDJp0JI2gACHubNinmzFGlpxsaNAildCYENACEt82bFTNmqLdv5xs2tAe6llLDFAcAhK2tWxXTp6tTU/mmTUMvnQkjaAAIV1u3yt96S52ayjdrFpLpTBhBA0BYysqSv/22Zts2vnnzUE1nQkADQPjZtUs+aZJm82a+RYsQTmfCFAcAhJndu+XJyZqNGw0tW4Z2OhMCGgDCye7dsuRkzaZNhlatbIGuxQswxQEAYeLgQdn48dqPPw6TdCYENACEh0OHZCNGaD/80NC2bZikMyGgASAMHDggGzpUu26doV278ElnQkADQKg7fFg6fLh21Spjx45hlc6EgAaAkPbll9LBg3UrVxpfeMEa6Fq8DwENAKHq6FHpkCG6FSuMXbuGYToTAhoAQtSxY9L+/XVLlhi7dQvPdCZcBw0Aoej4cWliom7+fFP37mGbzoQRNACEnOPHJX376ubONcXGFgS6Ft9CQANAKPnxR0m/frp33zX17Bnm6UwIaAAIIT/9JImP182cmRcfH/7pTAhoAAgVP/8s6dVL/69/5SckiCKdCQENACHhl18kPXvqpk7Ne+UVS6Br8R8ENAAEu9OnJT176iZPzh8wQETpTAhoAAhyZ85wCQm6SZPyBw0SVzoTAhoAgll2Nhcbq09ONg8eLLp0Jo+/qHLw4MGjR48S0bVr17p27Vq+fPmUlJTKlSsT0bBhw9Rq9ZIlSziO4zhu/PjxLItfAwBQamfPcrGx+mHDzEOGmANdS2AwgiB4/GaHwzF37twJEyZ88803DoejS5curtczMzMjIyM7dOiQlpZWpUqVNm3aFH5Xbm6uw+Hw7IhqtTovL8/jgkOUWq0mInF2XIS9ViqVHMeZTKZAF+JvRU53Tg738sv6wYPNycnhnM5yuVwulxsMBiJSqVQqlarw2jJ91Xv//v3t2rVTKBR5eXknTpw4efKkVqsdPHjw+fPnW7ZsSUR16tQ5ffq0K6A//vjjgwcPEtGcOXOqVKni2RFZlpVKpWWpORS5/gQRZ8fF2WsiioiICHQh/lb4dF+4QAkJktGjnVOmyInkgS3MpxiGYVnWdbqdTmeRtZ4HtCAIX3/99axZs4iodevWrVu3LleuXHp6uiuF3WQymavRsWPHRo0aEZFSqfR4WKRQKCwW0U1FKRQKIhJnx0XYa7lczrKs2RzOw8ZiuU/3pUts9+7q/v0tY8cWhP1fUDKZTCKR5OfnU6G0dPM8oM+cOVOzZk2GYYjo0qVLlSpVIiKVSmW32+vWrZudnV29evUzZ87UqVPHtX3t2rVr165NRLm5uTabh/fVlslkHr83dLlOmzg7LsJeSyQSEvHpvnSJffllTZ8+luTkfDH8DFiW5TjOdbrv/3vR84C+ePFi1apVXW2dTrdy5Uq1Wu10OpOTkxmGWbp06dGjR1UqVUJCgseHAABRuXyZjYnRv/SSddKk/EDXEhTK9CGhZ/AhYWnhQ0JREe2HhLdva55/Xtq9u3XGDBGd9Id/SIgL4AAg8K5fZ//5T3m3buJK50dCQANAgN24wcbG6rt0ccyciXS+BwIaAALJlc7t21vnzhXBZ4KlhIAGgIC5eZONi9M/9ZRt9uw8hgl0NcEHAQ0AgXH7NpOQoGvRwvb++yakc7EQ0AAQADzP9Oqlb9LEvnChCXfreRD8YADA3wwGJj5e37ChfdEipPPD4GcDAH7lSudatRyLFyOdHwE/HgDwH6ORSUjQV6/uWLXKyHGBriboIaABwE/y85mkJF3Vqo41a4ySMt1JUywQ0ADgD2Yzk5ioK1dOWLsW6VxSCGgA8DlXOkdECGvXGpDOJYeABgDfsliYpCSdXC6sXWsU3wMYygQBDQA+ZLUyAwdqpVJhwwajTObve2eGOvyxAQC+YrXSgAFah4NJSTEgnT2AgAYAn7BaadAgnc3GpKQY5HKksycQ0ADgfVYrDR6s43lm2zaDQoF09hACGgC8zGajoUN1ubnMtm0GlQrp7DkENAB4k8NBo0drb9xgUlMNajXSuUwQ0ADgNXY7DR+uvXqVRTp7BQIaALzD4aCxY7VXrnCpqTzS2SsQ0ADgBQ4HjRmjzcnhtm/ntVqks3cgoAGgrJxOSk7WZmdzaWm8Tod09hoENACUiSDQG29ofv6Z27GD1+uRzt6EgAYAzwkCTZ6sOX5ckpHBR0Uhnb0MAQ0AHnKNnb/9VpKZaUA6+wICGgA8IQg0bZrm6FFpRgYfFeUMdDnhCQENAJ6YOVP9xRfSrCy+fHmks68goAGg1GbNUu/ZI8vK4itVQjr7EAIaAEpn5kz17t2yzEy+cmWks28hoAGgFGbPVu3cKcvK4qtUQTr7HAIaAEpq7lxVero8K4uvWhXp7A8IaAAokfffV23bpsjK4qtXRzr7CQIaAB5txQplSooiK4uvUcMR6FpEBAENAI+wapVy5UplZiZfuzbS2a8Q0ADwMGvWKJctU2Zm8tHRSGd/Q0ADwAOtW6dcvFiZmck//jjSOQDYQBcAAEHqgw8UixYpMzP5+vWRzoGBETQAFGPTJsX776vS0w1I5wBCQANAUZs3K2bMUG/fzjdsaA90LaKGKQ4AuMfWrYrp09WpqXzTpkjnAENAA8BdmZnyt99Wb9vGN2uGdA48BDQA3JGVJX/jDc2WLXzz5kjnoIA5aAAgItq1Sz5hgmbjRsOTTyKdgwVG0ABAu3fLkpM1KSmG1q1tga4F7kJAA4jdnj2yceO0GzYYnn0W6RxcENAAonbwoCw5Wfvxx4Y2bZDOQQcBDSBehw7JRozQfvCBoV07pHMwwoeEACL1xRfSIUO0a9YY27dHOgcpjKABxOjwYemQIbrVq43PP28NdC3wQAhoANE5elQ6dKhuxQrjCy88Ip0Zs9k/JUGxENAA4vLtt9L+/XVLlxq7dXtYOktOnSpfoUK5mjV1iYnsrVt+Kw8KQ0ADiMixY9KkJN38+aYXX3zE2Fk1b56rIfv8c+WyZb4vDYqBgAYQi+PHpYmJunnzTDExBY/cWLZ/v7vNXrvmy7rggRDQAKLw3XeSvn11771niot7dDoTUf7rr7vbBbGxPqsLHgaX2QGEvx9/lCQl6d5919SrV4nSmYjyJ092NGnC/fqrtWNH+1NPPfoNVqtq0SLJyZOOxo3zJ0wQVKoyVQxEhIAGCHs//yyJj9e9805efHxJ05mIiGEKevSgHj1KuLlqyRLV++8TER04QBZL3qxZpa8UisIUB0A4+/lnSc+eumnT8nv3Lk06l57k5El3mzt71qfHEg8ENEDYOn1a0rOnburU/Fdftfj6WPZGjdxtZ82avj6cSGCKAyA8nTnDxcfrJk/OHzDA5+lMRObXX2fMZi4nx1mzZt60aY/cnjt/njGb7Q0aEMP4obwQhYAGCEPZ2VxsrH78+PxBg/yRzkQkKBQln3dWv/22ctUqIiro0cO4bh1JEETFwxQHQLg5e5aLidEPH24eMsRP6Vwq7F9/udKZiOS7d8u+/DKw9QSzAPziksvlgiB49l6JRKJUKr1bT/CTSCREJM6Oi7DXUqmUZVmPO56dzcbEKJKTbWPHElEw/vSYe+c0ZILAKZUk1tMtkUg4jnN1nGWLjpgDENBWq9XhcHj2XpZlLZZgHBT4lOu0ibPjIuw1wzAcx3nW8XPnuJde0g0ZYh461By8P7kqVbiePeU7dhCRrWPH/LZtBYuFxHq65XI5wzCujt//+ykAAS0IgscjaNfbvVhMCBFnx0XYa+FvpX3jxYtsXJx24EDLuHH5Qf5jM65aZUlKYsxmW8eOgkxGf5crztNND+445uYBwsGlS2xMjD4pqWD8+PxA11ICDGNr1y7QRYQAfEgIEPIuX2ZjYvS9exe8/noopDOUGAIaILRducLGxOh79LC+8QbSOdwgoAFC2LVrbK9e+u7drdOn5wW6FvA+BDRAqLp+nY2N1T/3nHXGDKRzeEJAA4SkGzfY2Fh9x47WmTORzmELAQ0Qem7eZOPi9E8/bZs1C+kczhDQACHm5k02Nlb35JO2BQtMuNFQeENAA4QSnmd699Y1b25HOosBAhogZPA806uXvlEj+6JFpvtu2wBhCCcZIDQYDEx8vL5BA8fixUhnscB5BggBrnSuWdOxeLER6SweONUAwS4/n0lK0lWv7li92shxga4G/AgBDRDU8vOZvn115cs716wx4sEjYoOABvA37sIF2aefsn/99cgtzWYmMVEXFSWsXYt0FiOccwDvY//3P/bSJUfjxoJCUWSVbO9e3auvutp8Vpbt2WcftBNXOiuVwpo1RqnUh9VC0MIIGsDL5KmpUU2aRHTrVq5GDfbKlSJrFZs23W1/8MGDdmKxMP366WQy4ZNPjDKZ6G5jDy4IaAAv044e7W4rP/qo6OrCF2E84CO/ggIaNEjLccKGDUhnUUNAA/iSzVbkBfPw4XfbY8bc/w6rlRITZXY7k5JilMuRzqKGgAbwsrzZs91tS//+Rdba2ra9+ccf/N69N3Ny7E88UWSt1Ur9+iksFtqwwYB0BnxICOBl5mHDrO3bc+fO2Vq1EiIj799AiIy0PfXU/a/bbDRkiI7naedOqwgfnwr3Q0ADeMTpJLp3QrkQR4MGjgYNSrU/h4NGjdLeusXs3FmgVrMmU9lLhJCHKQ6AUlMuX16+UqXylSoply/3yg4dDho5Unv5Mrt1q0GtxtgZ7kBAA5QOd/asesYMV1s9YwaXk1PGHTocNHq09tIlLjXVoNEgneEuBDRA6bD/+989i/d9IVBy6pT08GHGai3J3hwOGjtWe+YMt3kzj3SGIhDQAKVjb9bsnsXmzQsvqqdOjejSRR8fr+vblzEaH74rp5Nee02bnc1lZPAREUhnKAofEgKUjqBS3frlF/nmzURUkJQkqFTuVQzPK9evd7WlR47I9u4t6N37QftxOmncOM3vv3NpabxOh3SGYiCgAUrNWbGiOTm5mBVFLup48L1BBYEmT9b89JMkPR1jZ3ggTHEAeI2g1ZrHjXO1rZ06Wf/xj+I3E2jiRM2xY5L0dD4qCukMD4QRNIA35b35piUhgeF5e/PmVNwdQgWBpkzRHD8uzchAOsMjIKABvMzx+OMPWiUI9K9/qf/zH2lmJl+unNOfVUEoQkAD+M9bb6kPH5ZlZvLlyyOd4dEQ0AB+Mn26+vPPZVlZfMWKSGcoEQQ0gD/MmqXeu1eWlcVXrox0hpJCQAP43Jw5qsxMWVYWX6UK0hlKAQEN4Fvz5qm2b1dkZfHVqiGdoXQQ0AA+tHy5cvNmRVYWX7OmI9C1QOhBQAP4ysqVynXrlFlZfK1aSGfwBAIawCdWr1auWKHMyOBr10Y6g4cQ0ADet3q1cvlyZVYWX68e0hk8h4AG8LJ165TLlikzMpDOUFYIaABv+vBDxcKFyowM/vHHkc5QVghoAK/ZsEExb54qI8PQoAHSGbwAAQ3gHZs2KWbPVu3YYWjY0B7oWiBMIKABvGDrVvmMGerUVL5JE6QzeA1u2A9QVllZ8rff1mzdyjdrhnQGb0JAA5TJjh3yiRM1W7bwLVogncHLENAAnsvMlE+ZotmyhX/ySaQzeB/moAE8tHu3fOJEzebNhpYtkc7gEwhoAE/s3SsbN07zySeGp5+2BboWCFuY4gAotYMHZePGaT/+2NC2LdIZfAgBDVA6n38uGzZMu369oV07pDP4FgIaoBQOHZKNGKFdv97QoQPSGXwOc9AgasytW+r589mLF21t25qHDyeGecjGhw9Lhw7Vrlxp7NQJ6Qz+gIAGUdNMmybfsYOIZJ99Juj1lr59H7Tl0aPSoUN1K1YYu3a1+rFAEDVMcYCoudLZRfLttw/a7D//kfbrp1u61NitG9IZ/AcBDaJW8NJL7ra9WbNitzl6VPrqq7rFi40vvoh0Br/CFAeIWt7s2aRSMTdv2p94wtK///0bHDsm7d9ft3ChqUcPpDP4GwIaRM1ZubJx2bIHrf3uO0lSkm7ePNNLLxX4syoAl6IBbTKZit1Oo9H4vhiAIPLDD5LERP2775piY5HOEBhFAzoiIsLddjgcHMe52nY77jYAIvLzz5I+ffRvvZXXqxfSGQKm6IeE9kJq1arlbgekOICA+OUXSc+eumnT8vr3twS6FhA1D+egjx07lpKSUrlyZSIaNmyYWq1esmQJx3Ecx40fP95isRReZFlcKwIh4/RpSc+euilT8l99FekMAeZhQOfl5b388stdunRxLWZmZj777LMdOnRIS0v75ptvrl+/XnixTZs23isYwIfOnOHi43WTJuUPHIh0hsDzPKBPnDhx8uRJrVY7ePDg8+fPt2zZkojq1Klz+vTpGzduFF50BfS+ffu+//57Iho4cGBkZKSH5UokIvy4UiKRkCg/p/Xz6f7jDyYuTjZlin3kSAlRwH7aEomEYRicbpFwzTS4Os7cd6eBogFdvnx5dzs3N9e9eOPGjcKbtW7dunXr1uXKlUtPTz948GDhVTKZrNjFiIiIatWqERHLsg6Hhw+l5zjO4/eGLtdHteLsuN96nZ3NvviifPRo27BhtsD+pFmWLcv/kdAlzv/dDMO4T7f7ogy3ogH9888/l2Snly5dqlSpEhGpVCq73V63bt3s7Ozq1aufOXOmTp06SqWy8KLrLa1atWrVqhUR5ebmms1mzzrDsqzH7w1drkl8cXbcP70+e5aLidGPHJk/YkRQ/Jg5jguKOvxLnP+75XI5wzCujqtUqiJriwZ0VlbW8OHDH7lTnU63cuVKtVrtdDqTk5MZhlm6dOnRo0dVKlVCQkJBQUHhRW/1BMAXzp3jYmP1w4aZR40SXTpAkGMEQSi8XK9evezsbJ8eMjc31+M/ZNRqdV5ennfrCX5qtZqIxNlxX/f64kX25Zf1/foVTJiQ79MDlZxSqeQ47kFfGQtj4vzfLZfL5XK5wWAgIpVKVWQQjQvgQLwuXWJjYvSJiUGUzgCFFZ3iuHDhQu3ate/f7vz5836oBsBvLl9mY2L0vXsXTJyIdIYgVTSgq1atum/fvoCUAuA3V66wMTH6Hj2sb7yBdIbgVTSgpVJpgwYNAlIKgH9cv8726qV/8UXr9Omim/GE0FJ0DvqZZ54JSB0A/nH9Ohsbq+/c2frOO0hnCHZFA7pKlSru9v79+12Nrl27+q8iAJ+5do19+WV9x47WWbOQzhACigZ0Zmamu/3aa6+5GhcuXPBfRQC+cfMm26uXvlUr28yZSGcIDbjMDsITe+OGZvJkXb9+ipQUIrp1i42N1T35pG3BAtN9NzwACFJ45BWEJ/WkSfLdu4lI9tlnuYrKCWvimze3I50htGAEDeHJlc5EdJsiYv79bKNG9kWLTLgzOYSWoiPoc+fOue9gd/v2bVf79u3b/q4LoGysXbvKPvuMJ/0LtL9BXcuixUhnCD1FA/ry5csBqQPAu/LefZeXle9x5M2aVW0L0qOQzhCKiga06ylWAKHudkTN3lc/rt7ZsWKV8b677AKEBowrIAzl5TF9+uiqVHGsXIl0hhCGgIZwYzYzSUm6ihWF1auNElymBKEMAQ1hxWxm+vbV6XTC2rUGqTTQ1QCUDQIawofFwvTrp1OrhfXrkc4QDhDQECasVho0SMtxwocfGu99cDFAqMIUHYQDq5UGDtTZbMzGjQa5XHj0GwBCAQIaQp7VSoMH6woKkM4QbhDQENpsNhoyRJeby2zbZlAokM4QVjAHDSHM4aDRo7U3bzLbthm0BTclp0+T1RroogC8BgENocpup6FDtVeusKmphqj96VH160d06KDv04f93/8CXRqAdyCgIUTYbLJPP5Xt3s0UFBCRw0Fjx2qvXuW2bjWo1YJ22DDXVtKvvlJ8+GFACwXwGsxBQyiw23UDBsj27yciW6dOuZ9sHD2+3Pnz3PbtvEZTdN7ZleAAYQAjaAgBktOnZX8/IZP74stxr9hzcrjUVF6rvZPOeW+/7d7YkpgYgBIBfAAjaAgBglLpajiJHULrf70UkfYpr9PdHTubx461tWvHnT9va9PGWaFCgMoE8DKMoEWK+/NP7ejRuldeke/YEehaHs0RHW0eNkwgZgwtPxH5XOoeW0RE0ZkNe7NmBTExSGcIJxhBi5Tm9delhw8TkezTT53VqtlatQp0RY9gmjV71K05x0+p0nebo6KcgS4HwB8wghYjxmRypbOLduBA5ZIlgSvn0QSBpk7VfPtLxI5dSGcQEQS0GAkaTeFF9sYN9axZsn37AlXPI82cqf7yS+n27Xy5ckhnEBEEtEjlfv21vVGjwq9Iv/2WiJiCAsUnn6jmz+d++y1ApRU1c6Z6715ZRgZfqRLSGcQFAS1Sjvr18ydNKvyKrW1bItKMGaOZOFE1b15ku3bcH38EqLq7Zs9W794ty8zkK1dGOoPoIKDFy/qPf7gvGTaPHGl97jnGYpFnZro3CPikx4wZ0h075GlpSGcQKVzFIWIMY1qyxFTo40FBLi+83hnQR7y/954qNZXLyrpdowbSGUQKI2gohGEMmza5mgV9+hTExQWqkHnzVNu2KT77rKBGDUegagAIOIyg4R7WF164cf06Y7UKgXts1KJFqs2bFTt38rVrK/LyAlUFQOAhoKEYAUznpUuVH3+syMria9bE2BnEDgEtaszt24rUVCKy9OolREUFuhxas0a5erUyM5OvXRvpDICAFjHGYtENGiT96isikn36qWHzZvc9iQJi7VrlkiXKjAz+8ceRzgBE+JBQzCQ//uhKZyKSfv215MSJUu/hhx/kWVns9etlLyYlRbF4sTI9na9fH+kMcAdG0OLlLF/+IYuPpFy8WD17tqud+9//OqKjPa5k40bFnDmq9HS+QQOkM8BdGEGLl6NOnfxp01zt/DfecDRoUKq3u9OZiBRbtnhcxubNinfeUW/bZmjYEOkMcA+MoEUtf/z4/NGjiYjKdtlGkW+4lNyWLYrp09WpqfwTT9jLUgBAWMIIWvRkMs/S2bhmjatha9fOMmiQB3vYulX+73+rt23jmzVDOgMUAyNo8FBBXJytY0f26lV7dDRJpYVXsZcvq2fPZm7ftjdvnv/668QWMw7IypK//bZm61a+eXOkM0DxENDgOWdUlLO4q6c1//qXbM8eIpJ9/rmzalVLUlKRDXbtkk+apNmyhW/RAukM8ECY4hARycmTmokT1TNnslev+vRArnS+c9BTp4qs3b1bnpys+eQTw5NPIp0BHgYjaLHg/vwz4vnnXW3JyZP89u3Fzjx4RUFMjPu2pbZnnim8ypXOmzcbnnnG5qOjA4QNBLRYSP/737vtI0e4P/901K7NGI3y9HQiKoiNFXQ6bx0r7733hKgo9vJla8eOBT17ul/fu1eWnKzZsAHpDFAiCGixcNSpU3jRWbkyU1CgGzBAeuQIEcl37jRs2iQoFF45lrNcOdPcuUVePHRINm6c9qOPDM8+i3QGKBHMQYuF7emn8956y9U2bNkiKBSSU6dc6UxE0iNHJN9/72YeGmEAAB7ZSURBVLujHzggGzpUu369oV07pDNASWEELSLm114zv/aae9EZGVl4bZFFL/riC9nw4dr1640dOiCdAUoBI2jxckRH57/+uqudn5zsaNjQs/2wly+r5sxRzZnDXrp0/9ovv5QOGaJdudLYqZPV81oBRIkRBMHPh8zNzXU4PLzrglqtzhPfMzbUajURedZx9to1yQ8/OBo0cNSqVewGTF4eEQlqtWe1MXl55WrXdi/ezMkRtFr34tdfSwcM0K1YYeza1ZN0FufpViqVHMeZTKZAF+Jv4jzdcrlcLpcbDAYiUqlUKpWq8FqMoMOZ5Pvvoxo31vXrF9myZeHHdRcmqNUepzMRSX788Z7FH35wt//7X+mAAbqlSz1MZwBAQIcz5QcfuNvybdt8cQhntWr3LNao4WocPy595RXd/Pmm7t2RzgAeQkCHM8FnX0Vxc9SsaZo3z9U2vfee47HHiOj4cUnfvrq5c02xsQW+LgAgjCGgw5l51Ch327MbzpWEZeDAG9ev37h+3TJ4MBGdOCFJTNTPm2fq2RPpDFAmuMwunDkaNryZkyM5fdpRt25pH5jimZ9+kiQm6mbPNsXFIZ0BygoBHeYErbbI3TB858cfJfHx+hkzTAkJSGcAL8AUB3jHL79I4uN1U6fm9emDdAbwjgCMoDmOYxjGs/cyDCORiG7UzzBMkHf8l1+4Xr00//qXZdAguxf/UQV5r32EZVmWZUXYcXGeblceujp+fzAG4MfBsqzHAc2yLMdx3q0n+LEsS0Ql7zh74YJ8yhTJnj22vn0LFi0S7r30/X7MtWtCVBR5+n/jjz/YXr1UU6YUDB1qJ/Lm2RHt6WYYRpwdF2ev3ac7KALaZrN5/E1CiURSUCC6v6Bdv11L3nHttGmSPXuISLpli61atfzJkx+0JXvzpnbkSOkXXxARn5Vle/bZ0taWnc3FxOiTk/NffdXs9TMjztPtyikRdlycp5uIWJZ1dfz+30+Ygw5D8l273G3u7NmHbKlcvdqVzkSkXLKktAc6e5aLjdUPG2YeMsRc2vcCwCMhoMOQedgwd9v63HMP2ZK5dcvdlh06VKqj5ORwMTH6ESPMr72GdAbwCdFNyYtB/r//7axenTt92tapU0Fc3EO2LIiPV2zYcOddkyaV/BDnz3OxsfqhQ82jRyOdAXwFAR2GBJnMPHJkSba0tWqVe+SI7MsvHY8/bu3cuYT7//NPLiZGP2CABWNnAJ9CQIudo2FDc2nuBH3xIhsTo09Ksowfn++7qgCAMAcNpXL5MhsTo09IsEyahHQG8DkENJTUlStsTIy+Rw/rlClIZwB/QECHJMnp05LvviNPLyf3wPXrbHy8vls364wZonvmBUCgIKBDj2bKlIgOHSJefFHXrx9jtTI8rx04sHyFCrrevbk//vDFEW/cYGNj9Z06WWfORDoD+A8+JAwx7NWrir+fkyI7cEB64ID0xAn57t3kupBZqTR8/LF3j+hK5/btkc4A/oYRdKhxOu9ZFAT24kX3kmzPHu8e7eZNNi5O/9RTttmz8zy9gQoAeAgBHWKcVata+vd3ta2dO9uee876j3+415rHjfPisW7fZhISdC1a2N5/34R0BvA/THGEHtPChZb+/RmTyda6NUkkBS+/LKjV0sOHHY0bWxISvHUUnmfi4/WNG9sXLjT5/tGGAFAMBHRIsjdvXnjR2qWLtUsXL+7fYGDi4/UNGtgXL0Y6AwQM/vNBUa50rlXLgXQGCCz8/4N7GI1MQoK+enXHqlVG8d08HSC4IKDhrvx8JilJV7WqY80ao/iePQQQdBDQIUP17rvlK1TQ9ekj/fZbX+zfbGYSE3Xlyglr1yKdAYICAjo0cJ9+qlq4kIhkBw/qe/QgQfDu/l3pHBEhrF1rQDoDBAkEdGhg7v0ON2MweHHnrnTWaIS1aw1SqRd3DABlgoAODc5Ondxta5cugl7vrT1bLEz//jqlUvjgA4NM5q29AoAX4K/Z0OB84gk+M1OemipUrGgeMcJbu7VaadAgLcvSRx8Zkc4AwQYBHTJsbdrY2rTx4g6tVubVV7UOB5OSYpDLvTypDQBlh4AWKauVBg7U2u1IZ4DghYAWI5uNhgzR5eUxW7YYFAqkM0CQQkCLjs1Gw4Zpc3OZ1FSDUol0BgheCGhxsdtpxAjt9evstm1IZ4Bgh4AWEYeDRo3S/vUXt20br1YjnQGCHQJaLBwOGjtWe+ECt307r9UinQFCAAJaFJxOGjdOe+YMl5bG63RIZ4DQgIAOf04njR+v+fVXbscOXq9HOgOEDAR0mBMEmjhRc+qUJCODj4hAOgOEEgR0OBMEmjxZ8913ksxMQ2Qk0hkgxCCgw5Yg0LRpmv/+V5qZyUdFOQNdDgCUGgI6bL31lvrIEWlmJl++PNIZICQhoMPTrFnqzz+XZWXxFSognQFCFQI6DL3zjnrPHllmJl+5MtIZIIQhoMPN7NmqnTtlO3fyVaognQFCGwI6rMydq9qxQ75zJ1+1KtIZIOThkVfhY8EC1bZtiqwsQ/XqSGeAcIARdJhYvFiZkqLIyuJr1HAEuhYA8A4EdDhYtkz54YfKrCy+Vi2kM0D4QECHvFWrlGvXKjMz+cceQzoDhBUEdGhbu1a5fLkyM5OvWxfpDBBuENAhhjGb5Vu3srdvF8TFrT1Qf/FiZUYGHx2NdAYIQwjoEKMdOlT22WdEtGHOrfejlqVn8vXrI50BwhMuswsl7PXrrnReT0Peopk7B2xu2BDpDBC2ENDBgv3rL+3IkbrERPWsWWS3F7uNoNcT0Uc0cAq9t59eaNwcpw8gnGGKI1io33xTvnMnEdHnnzsrVzYPGXL/NoJMtnbAoakfN91PLzQc0NTUtau/qwQAP0JAB4s76UxERNyPPxa7TVqafFpWx22f3a7dZKdJJvNXaQAQGPgbOVgUJCS42/bWre/fICNDPnWqZvNmvnkLh4B0BhABjKCDhWn2bGdUFHfunK1jR0ufPkXWpqdzkyYpNm82tGxZ/PQ0AIQfBHSwECIi8mbOLHbVzp3cqFHSDRsMTz9t83NVABBAmOIIdp9+Khs+XJqaam3b7LZmwoTyFSpox4xhb90KdF0A4HMI6KDDnT2rWrBA8dFHjNm8f79szBjt5s3W9u2dqvffV6SkEJF82zZt//5cdnagKwUA38IUR3Dh/vwzslUrV/uLVOPIP2Z88IGhUycZEXFnzrg3kx47Ftm6Nb9rl+3vjQEg/GAEHVykn3/uauynF175bsL6hVc6drwz72x75pkiG8s3b/ZrcQDgXwjo4OKsXJmIDlCX3rRtI/Xr1P3uCTKPGpU3c6azQgX3K4JWG4ASAcBfENDBxfrii5+98G48bd9Ar7RfH0tS6d11HGceMcK4bp1ryda+vXnMmMBUCQB+gTno4PLNt/L+305e/mFu6x4fFDDM/RvY2rS5eekS+7//OapVI47zf4UA4DcI6CBy7Ji0f3/d4sWmbj2cRMWks4sglztq1vRnYQAQEJjiCBbHj0uSknQLFph69CgIdC0AEBQ8HEHzPL9kyRKZTGa1Wt94440ff/wxJSWlcuXKRDRs2DC1Wr1kyRKO4ziOGz9+PMvi18AjnDghSUzUz51revllpDMA3MEIguDB206dOsVxXJMmTTZt2hQdHZ2Xl+dwOLp06eJam5mZGRkZ2aFDh7S0tCpVqrRp06bwe3Nzcx0OD28zr1ar8/LyPHtv0Dp5UpKQoJ892xQfX3w6q9VqIgq/jj9SWJ7uR1IqlRzHmUymQBfib+I83XK5XC6XGwwGIlKpVCqVqvBaD0fQTZs2JSK73X727Nnu3bv/5z//OXHixMmTJ7Va7eDBg8+fP9+yZUsiqlOnzunTp10BffLkyZycHCJq06aNK3E8IJFIFAqFZ+8NTidPsr17K999tyApiSEqvmscxxFRmHW8JMLvdJeERCJhWVacHRdnr92n+/7JBs8/JOR5fvXq1YmJiZGRka1bt27dunW5cuXS09MPHjxYeDPZ3zfGPH/+/LFjx4jomWeekRa+eqw0WJb1+L1B6NQpJiZG+u67jldfZYju7ZfTyVy4IJQvT1qtK6DDqeMlFGanu4Q4jmMYRoQdF+3pfkjHPQxoo9G4bNmyUaNGRUVFEdGlS5cqVapERCqVym63161bNzs7u3r16mfOnKlTp47rLTExMTExMUSUm5trNBo9O244/RH066+S2Fjd2/882lf40XS1m1DorwqG53VDh0q/+IKIjOvXOxMTCVMcooEpDlFxTXG4IrHI/AZ5PAe9efPmY8eOVahQgYi6dOlSsWLFjz76SK1WO53O5ORkhmGWLl3qdDpVKtXYsWOZe6/nxRw0Ef32GxcXp3+z4urXfhlNRLY2bQwbNwoaDffnn+qJEyU//8xev+7e2JyfTwho0UBAi8rD56A9DOiyQECfOcPFxOgn9L84eUFt94vGJUsczZtrRo6U/PJLke3NeXnEMGHQ8dIKj9NdWghoUfHJh4TgsbNnudhY/ZiRpvHHRxV+XTtuXLHbm8eOpeK+UggAYQ8B7Vc5OVxsrH7ECPPrljmyvXsfvrGjbl3TvHm29u09vOQFAEIcAtp/zp/nYmP1gwebx4wxK5pveuT2hpQUR3S0HwoDgOCE7/j5yZ9/crGx+gEDLOPGmRmTib10yb3KER3tqF+/8MbWzp1vXL2KdAYQOYyg/eHiRTYmRpeYaBk/Pp+IBI2m8Nq8t94SIiL0L7109yWNBneqAwAEtM9dvszGxOgTEgomTconInI4NJMmudc66tWzP/WUdsSIwm+xPvusn4sEgCCEKQ7funb8Ss/29gT17je7HHG9It+50/XsVxcuO1u5aJH0yy/dr5iHDrUMGODnOgEgCCGgfejqRUdsd0WsYcP8X2MiXnyRvXiRiNi//iq63b1fwLeMGIH5DQAgBLTvXLvGxsXqutPe+XRnQkN6/DgRWZ9/vsiW5lGjCuLj77RHj8bN+AHABQHtEzdusHFx+o4dbQtpgvtF16Uajujo/MmTC2/M2O3GlStzjx27dfJk3vTpfi4VAIIWAtr7bt5k4+L0bdrYZs+3GlO3WTt3tnXqZFq40N64sWuDgrg498a29u0d1aoRkeOxx5zVqgWmYgAISriKw8tu3WLi4nRPPWV77z0Tw5C1Uydrp05FtnHUqcPv3SvfuFHQ680jRxKeOAMAxUFAexPPM71765s2tc+fbyr+/hl2uyItjT1/3tq1q2nJEn/XBwAhBQHtNTzP9Oypb9jQvnix6UFjYs2UKYpPPiEi1YIF/J49tqefLnYz2aFDkmPH7E2bWl980XcFA0CQQ0B7h8HAJCTo69d3PCSdiciVzi6yXbuKDWjFli2a115ztfNmzjTf+x0WABAPzH56gdHI9O6tr13bsWyZseRXMDurVGGKu/tt4bvcFf4CCwCIDQK6rEwmpndvXbVqjhUrjPePnRmDQb5jh+zgQXI6iYjfvdv1urVzZ9m+feVq19bHxXF//ln4Lc6ICHe7yF07AEBUENBlkp/P9O2rq1zZuXq1UXLfdBGTm1uubl3tiBG6Pn20o0cTke2ZZ25cv37j8mWGSPrNN0Qk/eor9dSp7rdw589LcnJcbXuLFvnTpvmpJwAQfBDQnnOlc1SUsGZNMelMRLL9+91teVra3ccMymTc6dPuVZJTp9xt5eLFkmPHXG1nhQqOxx7zQeEAEBoQ0B6yWJh+/XQ6nbBuneGBj4pX3/MsFEGhcLed5crdbVeo4G7fMyvt6ZMbASA8IKA9UVDA9O+vk8uFDz4wymQP3qxrV2uPHq523ptvClqte1X+xInutrnQ0wgtiYnuNq6xAxA5PNW71KxWpn9/rSBQSopRLn/0T487d07Qap3lyxd5XXL6tOTECXuLFu6vgN/Z/vffpd9+a/+//7M3b+56Ra1WE1HAO+5/wXC6/Q9P9RYVPNXbe5xO6ax5A7b0JEa1Kc0qlZdogvhB88j2Ro3sjRoVs339+kWegAUA4oQpjpJSrl+vr1T91WXtDDfsO6+3KTcT11cAgG9hBF0ikh9+UEx9M4k23aDy+6ibmvLowIFAFwUAYQ4BXTK/Z/ejjRepxj7qpiETERW8/HKgawKAMIcpjkez22nQrj5/Us191E1LRmf58uaRI03z5pV8D4zFoly/Xj19uuT48cKvcxcvaocMKV+hgvrf/ya73duFA0Bowwj6ERwOGjNGeymbP0AvaslIRAUJCXkzZpRqJ5oJE+TbtxORcsWK2/v22Z980vW6+s03XXfeUK5c6ahRwzJkiLfLB4AQhhH0wzgcNHasNucPYW/FV3RkcL3I/fFH6fbidLrS2UW2b9/ddqH7IkkKfbcQAIAQ0A/hdFJysubMKeuhn6qUP/rZ3RWFvhBYIvfeQslZo4a7XdC7t7vNmEzsjRuelQoAYQkBXTynkyZM0Pz8s2Rv4/ERdNv9uq1Dh7wpU0q7N/dN7Cx9+1r69nW/bpozxzxypKstz8jQDhvGWCxlKxwAwgcCuhiCQJMmaU6elOzYwUdJje7XrZ0782lpHnyL5M5N7K5fNy1dSoXu3CHodLZnn3UvSr/6qvCNkwBA5BDQRQkCTZmiOX5csmOHISpKMA8d6l5l6d/f64dTfPxx4UVnlSpePwQAhChcxXEPQaBp09RHjkgzM/ly5ZxEZG/W7NZvv0lOnrQ3aOCsVs3rx5MdPOhesrVt66hZ08uHAICQhRH0Pd5+W/3ll7KsLL5SJaf7RWe5ctbnnvN+OhORIDgKf2aYkOD9QwBAyMII+q4ZM9T798uysviKFe+kM3funOLDD4lhLIMGOWrX9voRFamp3MWLrrazRg0LAhoACkFA3zFrlnrvXllGBl+58p10ZgyGyL+fuq1ctepmTk7hGzp7BZed7W6zFy8Sw3h3/wAQ0jDFQUQ0Z44qM1OWns5XrXp3ZqPIBRWSH3/0+nGtHTu62wUxMXT/Q2cBQMQwgqZ581RpafKsLL5aNWfh1521ahVe9MXHd7a2bQ0bN8p37XLUrGkePtzr+weAkCb2gF6wQLVli2LnTr5GDWeRVY6aNU1LlmjGjSMi07Jlhb8BWFrcuXOCTFbsx4zWrl2tXbt6vGcACGOi/pt68WLlhg2KzEy+Ro3iH8FlSUx0fcHE0qePh8dwOrWjRkU+/XRUs2bq6dM9LhUAREi8Ab18ufLDD5UZGXytWj58eLb0m2/cd0pSrljhvmYDAOCRRDrFsXq1cvVqZWYmX6eOD9OZiBiz+Z7l/HyfHg4AwokYR9Dr1imXLVNmZPD16t1JZ+7cOdW8ecqVKxmDwbvHsrVta/v7Ug1rjx6O6Gjv7h8AwpjoRtAffqhYuFCZkcFHR99JZ/avv9zXO0sPHzZs2+bF65EFhcKQkiI7cECQy62dO+NCOgAoOXEF9KZNivnzVenphgYN7s5sSI8ccbdlX3zBXbzo3SvqBIWioEcPL+4QAERCRAG9caNi5kxVerqhYcN7nv5X5AZyznLl/FsXAEDxxPIX95Ytipkz1WlphsaNiz6b1da+vXnUKFfbuGqVoFb7vToAgGKIYgSdmir/97/Vqan8//1f8U/OzpsxI++tt0giip8GAISK8B9B79wpf/NNzZYtfLNmxafzHUhnAAgyYZ5Ku3bJx4/XbNxoePLJh6YzAEDwCecRtCudt2wxtG5te/iW7JUr3PnzfikKAKCkwjag9+yRucbOTz/9iHRWv/NOVNOmkU89pR05kpxFb5kEABAo4RnQ+/bJxo3TfvKJoVWrR42dL19WLlvmasvT0qRff13CQ7BXr6oWLFAtWsReu1amWgEAHiAM56A//1w2erT2o48MbdrcTWfu118Zk8nevHmRDwOL3Cuj6K0zHoDJy4v6v/9ztaVHjhg2bRJUqjIXDgBwj3AbQX/xhXTECO3q1cb27e+ms/rNNyPbt4/o3l2XlMRYLIW3d9Sta/37a362Dh1s7duX5CiSH35wt6Vff13k2SsAAF4RVgF9+LB0yBDdqlXG55+3ul9kb91SrlnjassOHZJ99tk972EYw/r1hk2bjB9+aNi4UVAqC6+UffFF+QoVyleooH7nHRIE9+tFv3xYtarX+wIAED4BfeSIdPBg3apVxhdesN6z4t7P/Zi8vKLv5DjrCy8U/POfgkJx90VB4M6f1/39mG3lsmWyzz93r3TUrZs3Y4arnTd7tuPeh2MBAHhFmMxB/+c/0kGDdMuX35fO991bg7lx45F7Y8xm7ZAhsv37C7/IXbhQeNE8apR55EgiwqO4AcBHwiGgjx+Xvvqqbv5804svFk1novtG0CW4kE6ellYknYnI2qlT0e0QzQDgSyE/xXH8uDQxUbdwoSk2tqD4LTjO/Npr7iVLz56P3CdjMhVetAwZcvvAAUe9emWrFACgdBih0Gdf/pGbm+twePigKbVanVdoEvm77yR9++rnzXtwOv9NeuwYe/mytUMHISrqkUdhL1+OatbM1bYMGGCaP9+zar1FrVYTUd79s+fhrsjpFgmlUslxnOneUYIYiPN0y+VyuVxuMBiISKVSqe69YDeEpzh++kmSlKSbM+fR6UxEtr+fmVISzmrVbv36q+zAAWfFisXMbAAA+EUARtDmkn0ZpFhSqdRmsxHRDz+w//ynbO5cW1KSb5/6GgykUikRuTouKu7TLSoSiYRlWau1uA9Uwpo4TzfHcRzHuU43y7Jyubzw2gCMoC0WSxmnOH76SdKrl2769LyYGIsY/iTCFIeouKY4RNhxcZ5u1xSHq+Oq+76QHHofEp4+LenVSzdlSn7fvpZHbw0AELJCLKB//52Jj9dNnmQaya1VT50q+/TTQFcEAOAroRTQFy5wXbvKJ0zIH3v5X5rXX1euX6975RV5enqg6wIA8IlQCugqVRwrV9oGD7Yoly93vyjbty+AJQEA+E4oBbRMRt27O4jIff85InLiPhgAEKZCKaDd8t5809qlCxEVxMbmF/qWIABAOAnJL6o46tY1bNkS6CoAAHwrJEfQAABigIAGAAhSCGgAgCCFgAYACFIIaACAIIWABgAIUghoAIAghYAGAAhSCGgAgCCFgAYACFIIaACAIIWABgAIUghoAIAghYAGAAhSCGgAgCCFgAYACFIBuGE/y5bptwLHcd6qJFQYjUYikkqlgS4kAER4uvPz8x0Oh1wuD3QhASDC022xWEwmk0KhICKGYYqsZQRBCERVUAorVqxwOByv4eFe4rBx48acnJy333470IWAP+zevfvQoUMLFy4sdi2mOAAAglRIPpNQbBo1aoQ/dMQjOjo6IiIi0FWAn9SsWbNVq1YPWospDgCAIIUpDgCAIIUpjsBzOp2ZmZkZGRkpKSlElJ+fv2TJEo7jOI4bP368xWIp+WIZr5ABP+B5fsmSJTKZzGq1vvHGG06nE6c7jF2+fHndunVyudxsNr/++utSqbRUp5ubPn16oLsgdrdv35bL5Tk5Oc8//zwR7dmz5/HHH09KSrpy5crt27d/+umnki/WrFkz0L2BR/j9998bN24cFxd36dIlu91+8uRJnO4wlpub27Zt265du2ZnZ6vV6hMnTpTqdOM3cOBFRkY2btzYvXj+/Pm6desSUZ06dc6dO1eqxQD1AEqhadOmTZo0sdvtZ8+ejY6OxukOb7Vq1SooKJg6deqNGzeeeOKJ0p5uBHRQk8lkHi9C0OJ5fsGCBYmJiZGRkYVfx+kOS9WqVXv33Xdr1ar15ZdfFn69JOcXAR106tatm52dTURnzpx57LHHSrUY2MqhJIxG47Jly4YOHVqvXj3C6Q5327dv/+mnn4goMjIyLy+vtKcbl9kF3m+//bZjx47Tp083atSoc+fOzZs3X7p0qdPpVKlUY8eOLSgoKPni/V8VhWCzefPmY8eOVahQgYi6dOnStGlTnO4wdu3atZUrVyoUCqvVOnHiRJZlS3W6EdAAAEEKUxwAAEEKAQ0AEKQQ0AAAQQoBDQAQpBDQEM6uXr0qkUgaNGjQsGHD6Ojo8ePHO53OpKSkevXq1apVSyqV1qtXr169emvWrCEio9E4ZsyYGjVqREdHt2zZMisrK9Dlg9jhXhwQ5iIiIn777TciMpvNzZo169mz56ZNm4jot99+69atm+uyU5eePXs2adIkJydHKpX+8MMP3bt3r1atWsuWLQNWOogeAhrEwvUoqWrVqhW79rvvvjt79uynn37qeupS8+bNv//++8qVK/u3RoB7IKAhzN2+fbtZs2aCIJw9e3bChAkP+gLeL7/88vTTTxd+Jl6VKlX8VSNA8TAHDWEuIiLi5MmTp06dun79+u+//7548eJiN2MYxm63+7k2gIdDQINYKJXKhISEAwcOFLu2SZMm33zzjdVqdb/y/fffX7161V/VARQDAQ1iIQjCZ5991qhRo2LXtmjRomnTpiNGjDCZTER04sSJuLi4K1eu+LdGgHtgDhrC3O3bt5s0aUJENpvtySefXLBgwYO2TEtLmzx5cnR0tFqtrlKlyieffNKiRQs/VgpQFG6WBAAQpDDFAQAQpBDQAABBCgENABCkENAAAEEKAQ0AEKQQ0AAAQer/AQq94fQSGBVSAAAAAElFTkSuQmCC\n"},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":532},"id":"Rb_2_B24g_Vf","executionInfo":{"status":"ok","timestamp":1613931424991,"user_tz":-60,"elapsed":1231,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"6db65022-65d5-4c77-edf0-18807e65feb2"},"source":["%%R\n","ggplot(dataEB, aes(x = BTC.USD.Adjusted, y = ETH.USD.Adjusted)) + geom_point() + geom_smooth(method = \"lm\", se = TRUE, color = 'black')"],"execution_count":null,"outputs":[{"output_type":"stream","text":["R[write to console]: `geom_smooth()` using formula 'y ~ x'\n","\n"],"name":"stderr"},{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"x5T8qRkwJt11"},"source":["###Predicting new data (January 2021)\n","\n","Now that we have build our model and seen that it fits with our initial conjecture, we can proceed to test the model with the data of January 2021. With this test we can conclude whether the\n","correlation observed in 2020 trend to continue during 2021, or if the recent moves in the market\n","has modify this relation. We will start by downloading the data and showing the Japanese Candlesticks before we apply our model, this should gives us an initial intuition about how well our\n","model behaves with the new data.\n","
"]},{"cell_type":"code","metadata":{"id":"wlTeNedqtG_9"},"source":["%%R\n","starting_prediction_date <- \"2021-1-1\"\n","final_prediction_date <- \"2021-1-31\""],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"yyYWn3j-tqto","executionInfo":{"status":"ok","timestamp":1613935798264,"user_tz":-60,"elapsed":973,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"c44b9444-af22-4f39-b734-88fcd9bc05b7"},"source":["%%R\n","BTCUSD_for_prediction <- getSymbols.yahoo(\"BTC-USD\", from = starting_prediction_date, to = final_prediction_date, auto.assign = F)[,]\n","BTCAdjust_for_prediction <- BTCUSD_for_prediction[,6]\n","chartSeries(BTCUSD_for_prediction)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"HubZmp8rtq9m","executionInfo":{"status":"ok","timestamp":1613931513030,"user_tz":-60,"elapsed":589,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"5c91afc1-b353-43b1-acac-fbe7a1f76428"},"source":["%%R\n","ETHUSD_for_prediction <- getSymbols.yahoo(\"ETH-USD\", from = starting_prediction_date, to = final_prediction_date, auto.assign = F)[,]\n","ETHAdjust_for_prediction <- ETHUSD_for_prediction[,6]\n","chartSeries(ETHUSD_for_prediction)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAgAElEQVR4nOzdeXgb130v/N9s2EESBMFFpCiuECmSkmzZlmRbim25dhK7SZxmb9Lr1FmcNL1Jm7w3z71dct/e3ja3qZ/nTZM0bZI2y81aL83mOHZs2ZIsS7IlWQt3UdxXECA2Yp/BvH8MDcEACEIiCQzA7+evw4MzZ84MwB8GZ86cw7S0tBAAAKgPW+gGAABAZgjQAAAqhQANAKBSCNAAACqFAA0AoFII0AAAKoUADQCgUnyhG1D6dDpdd3d3WVmZz+c7e/ZsoZuTmdls3r9/v9/vP3PmDBHde++9siy/8MILuddwA5sUtZqamocfflhJ9/b2Pv300wVtTj585jOf8Xg8P/zhDwvdkE30yCOPVFVVEVE8Hv/KV75S6OaoNUCzLHvPPfek57vd7nPnzh08eNBoNKa/Oj8/39/fr2x49OjReDyu5Hd3d9fW1g4PDy8uLt5xxx2iKL700kuJrdrb23fs2DE+Pj4yMiIIQnNzs81m02q1RBQIBKanp2dmZtKbFIvFfD7f7OzswsJC9mPZvn17RUWFy+Wam5u73vNQKGNjY2uWsdlse/bsOXHiRCQSyXGT0rOwsPD6668vLS0RkcViOXLkSH19vSzLc3Nzx44dczgcRGQ0Gu+7776GhgYimpqaevbZZ0OhUJbyRNTd3X3PPffo9fpf/vKXAwMDGXe9WrWbtLnRaDQajUNDQ0V3pDU1NW95y1u2bdsWj8fn5uaOHz+e+J9N3/zEiRN6vf6uu+7SaDQZa8szlQbohJTwt7y8TEROp1NJlJeX63Q6v98fDAaJyOv1rnN3e/fuLS8v9/l8TqeT5/nq6urOzk7lfU1uEsMwer3earVardbKysrVPhkK5Z3OJZSrx9WrV9cso1xoXNcmpcfv91+8eJGIBEF4//vfX15ePjU1xTBMS0tLdXX1t7/97Wg0+o53vKOxsXF6elqW5Z07dwqC8Pjjj69WPhaLvec972lubg6Hw9l3nbFahmE2afOamhoicjgcxXWkJpPpAx/4gEajGR8f1+l0LS0tNTU1//qv/yqKYsbNh4eHiejgwYMI0Dnp6+tLXAgnXLlyRUkol8Zzc3OTk5NKDsveeK+6RqMpLy+XJOm1116TZZmIHA5HXV1dSp2JJlmt1r1799bX1zscDpfLlbHOffv2WSwWIurp6WlpaTl16hTLsq2trbW1tRqNJhwOz8/Pj46OyrLMMMyRI0dCodDY2Jjdbh8aGlrtilu5lo/FYoODg21tbVqt1u129/b2xmKxjJVoNBq73W6xWHie93q9Q0NDgUCAiAwGQ3d3t9lsXl5eTpxARXJ/hSAIdru9qqqKZVmfz3flyhWfz5f4EXPo0CHlx0fyJmse48DAwM6dO3U6ncfj6e/vV67Bi1p9fT3P84ODg7/4xS+I6OGHH66pqamqqgqFQo2NjQ6H48c//jERPfLIIy0tLWaz2Wq1Ziw/NzdXVlb24x//eO/evV1dXavtzmKxZKx2eXl5kza32WxEtLi4WFxHWl1dPTs7OzY2dvbsWYZhPvaxj1VWVlZWVjocjlw2LzjcJLwmFotJksRxXGNjoyAIRLS4uHjp0iWliyOdy+Wanp4motra2tXqHB8fV67rp6amRkZGiKinp2fHjh3Ly8sjIyOiKDY3N+/cuZOIlK8EQRB27NgxOzur/CbISPl64Hm+oaFB6bexWq0dHR0ZK2EY5qabbqqpqZmcnBwcHDSbzXv37mUYhoj27t1bVlY2Pz8/NzeXZUqW7u7uurq6paWl8fHxsrKym2++WafTjYyMRKNRIhoaGkr/ZZD9GDUaTUtLy+Tk5PLystVqLY3ZYMbHx7/+9a8rMYjjOJ1OR0SRSES58Jybm5NlWfmBT0R1dXWrlZdl+Xvf+57yucpitWo3b/OamhpZlp1OZ3Ed6ejo6OOPP65E55qaGpPJFAqF3G53jpsXnNqvoFN6oi9fvpxjR0HGLuzsZFkeHBzs6Ohob29vb28PBAIej2dubs7j8ay2ic/nIyK9Xr9aAZfLVVdXV15e7vF4FhcXzWazzWYLh8MXLlyQZXl+fv7OO++sr68fHh5OhN1Lly4pfZrZMQwzNDS0vLzsdrurq6urq6s5jpMkKaUSi8ViNpvdbvfU1BQRGQyG5ubmyspKURQNBkMoFOrr6yMiSZI6OzvT96JcAYVCocuXLxNRNBq1WCwGg2FxcdFutxORw+FIuf5d8xg5jhseHvb5fD6fb//+/RUVFWsebBFhWfbBBx8sLy8fHBx0uVw7duwgIuXLLJEwGAyrlSci5U3MTqkhY7WbtLnNZnO73YlNiuVIFeXl5Y8++igRTU5O/u53v1MqyX3zAlJ7gE4Jx2t2VyV4vV7leo2IjEajckW8prm5OafTWVVVVVFRUVFRUV9fX19fPzIyMj4+nrG8cima2NGaTCYTEfn9fmWTSCQSiUR0Op1er1e6HYgoy/dBMlmWlY54URSj0ahWq9VqtYnr7kQlykfZYrEkf2MZDIZYLEZv9OnTG980WRqs/DkzM7Pa74nrOkalQuXd5Hm1fwhzp9PpHnroocbGxomJid/85jfpBZRzkvjArFk+oaOj45ZbblHSzzzzTPZqN3xznucrKyuV/tkcW66SI1W+CaLR6MDAQGVlZWNj49133/3UU08VRXQm9QfojH3QuTh37lzKKA56o3OA4ziGYRLvsTJgI/GGxWKxubk55ZeUMlChqalptQBdXl5ORFm6I66XLMu5H2/iKFJ6yZMrURJut1vpYFGEw+HKysrkTbL33SvfQxtF+a1Kb/ybbWzlBaTX6z/0oQ9VVVWdPXv26NGjytEpnw3ldz298WFTvqgyll+NyWSqr69X0jqdLku1m7G5zWZjWXZxcbHojlRJhMPhX/7yl0T07ne/u729vbOzs7e3N0sb1EPtAXpjRaPRWCwmCMK2bduUK0G9Xq+MRvD5fDU1NXa73efzKffl6Y3rSoZhMgaRysrKbdu2EVHu4+eUK8eysjIltiqXvZIk3UCIZximrKzM6/VqtVpBEGRZznirTalZo9EoXeHKjwlJkpSBSmazWSlWVlaWcS/K5spFMRHV19fX1dXNzMxkOeQNPMYiogwqqKqqeumll5Sx5ArlRNXW1iofIWWomTIQKGP51Zw9ezZ5EL1yZZBe7SZtnhjCUXRHeuedd+7fv//8+fMvvvgiJd2/WbMZKqH2hqbfYL3ha2oikmV5ZGSks7Ozs7Nz27ZtoihWVFRwHOd2u10ul1arZRjGZrMdPHjQ5/OxLKsMwHA4HMoIhOQm6XQ65aMzNTWVY6cEES0vLy8uLtpstt27d7vd7rq6OoZhxsfHc+8kST6Wjo6O+fn56upqIlpYWMj4q83r9fr9frPZ3NXVtby83NjYyHHcqVOnvF5vKBTS6/U9PT1+vz9x0ZG+ucfjqaioUIo1NTUxDKMcbywW0+v1ra2tCwsLyYNYNvAYi0hPT48y0rauru5d73qXknn58uWrV6+OjIy0tbV98IMfZBjGYrEMDQ35/f7du3dnLD85OXngwAF6IyZ2dHRUVVXNz88nRi4pvF5vxmoFQdiMzZUhHEpYLK4jHR4ePnDgwK233lpTU8NxXENDQywWGx8fz3HzglN7gFZOX7L+/v71VDgzMyOKYmNjo8FgYFk2GAzOz88rN9Aikchrr73W1NRUWVmp3LMOhULT09Mp/RtKkyRJ8nq9U1NT8/Pz19WAy5cvt7a21tXVVVVVhcPhwcHBG7uVLMvy6Ojozp07NRrN4uLi4ODgaiVff/319vb2yspKm83m9/uHh4eVa+2LFy/29PRUV1frdLrBwcGbbrop4w+Fixcv2u12m81WVVXl8/lGRkaUq+/x8fHOzs6amppIJJIyynCjjrGIKD9BWJZVxqsolKP+zW9+c9999zU2Nsqy3Nvb+/zzz2cpPz8/f/vttydy7Ha73W6/dOlSeuDIWK1Go9mMza1WazgcTvw2KqIjdTgcP/vZz+666676+npRFKempk6cOOHxeIxGY457LyymNAY5bTVb7blqFVIe9R4ZGXnyyScL3RbYYI8++qjZbMaj3iVCEITVvudGR0eV8RIbW+cNVAibwWw279mzZ2lpSfkRBsXObrfr9XrlVqQaIEBvgFgspsxRoPI6YcPV1NS89a1v7e3tRYAuDYcOHUpMllTothChiwMAQLXwqDcAgEohQAMAqBQCNACASiFAAwCoFAI0AIBKqXSYXUdHh0pWNACArUmZf/jGnmPYKCoN0FVVVXgcAwAKqLGxUavVIkBnIElSEa3gBwClJ8tKSXmDPmgAAJVCgAYAUCkEaAAAlUKABgBQKQRoAACVQoAGAFApBGgAAJUq2QDNMfLwF67UmsUb2/zd3b70Cv/bW5xDn79i0V9bm/WBDv9zj4yf+9OrP3jf9A5LLEtJxf7toeEvXGmpjKbk39e+/Ns/nnj9v1795rtmzdqVmcLf3rH8m49OPP+x8e+9d2Z7+Url28rE//v+6Yufvfqr/zLZWb2yjPeRtsBv/3ji3J9e/eH7p5ssK5Ufbg7++uGJ1z4z+m9/MGMzSlk2BwB1KtkAvR4MQ1845EzJ/No750IxJp60MnWTJfqlexc/84u6277R2rug+5/3OlYrqdBw8v+4e9EZ4FLy68vFv3/rwp//unb/N1qCMfbzh5xEVGMS/+behU88te3e7zQdGzX87f0rlf/j2+dfGjXu+1rLd89VPLzPQ0S1ZvEf3jb/P35bfevXW8/N6P/m9xxEZNbGv/L2+b96rubAN5p7F3R/dWTVzQGIqLOzk+dV+tjaVrblAvR7e7zPPTL+4ifGf/j+6TqzSEQCJ3/l7fMvfHz8xU+MP/bAvI6Xv/HOOatBevrhibqkC/CvvWL92ivW5KpiEvOFp2uHnVopTs9dMTW/cemaXlLxyf1LL4wY3aHUAH1rQ+jcjL7foY1KzDdPV769Y5mIGiti88v8tFcgopMTxnZrhIgaymMN5bHvnrWIceap3rIvPrOy5PlfPldzflYfl+nZYVNzZYyI7mwK9s5rX5/VSTLzndcs97QGNJy82uYALMuy7JaLBuq3td6SSoP0pXsXP/p4/d3faprwCJ86sERER1oDVUbp3u80Hfl202KA31Ud/otnq2Nx5oHv7ZjzX7umGHCkriM54xOOjxmIyKSJf2C39+hV02oliajJEr3fvvyvr1Zmb6EvwlbopDJdfHBRW6mXumoiDEP3ti2fnDAQUYctMu4W/td9jhc/PvaD980oXSXzfv6ZoZVd39EUPDejV3Y37lmZbcofYX1hdltZLOPmAKBaWytALwW5W77WOuMTiOj0pGF7RYyIFgNcmzX6luaAwMlffqnq/Kz+uur84luc5//r1caK2FdPZgu+f/N7i3/3oi0iMukvvTqlv6Uh1F0T5hj5kVs9cZm0nOyPsF8+Znviw1Ov/snVD+zx/tNJKxGV6eJ7t4V/NWC65zvNL141/NM75pPrOdQc/OAe75dfqiIivSCHY9f2FRZZvSBn3xwA1GZrBWiGoUdudT/54aknPjz1p7e7WIaI6NyM/u9etH3sVvepT4/+/VsX9ML1reb7f45V7flq2/Mjxh++f4bJEH6JiB7q8jmWuVcmDBlfnfXxf/FszZfftvD0RycnPQIR+SOsvSryZ3e67v1O061fb/27F23fec8sy5A/wo4taU5PGmSZfvC6pdkSrdCt3P37/U7/X96z+NEn6uf9PBEFo4xBc60X3CDEgzE2y+YAoEJbK0Df1778tp3LDz9e/54fbv/nU9cueJ8ZMn34Zw33fKtpW5n4h3u9OdbWYYscaAwSUSjGfP9cRXtVpMqQOd79XnvgUHPwlU+NvvKp0RZr7CcfnL67NZBc4Jkh04Pf2/HWf99xeU477taEReb2HaHzM7oZL09Evx02NZTFqk3itFco017bBcOQJDNEdG9b4JP73R/+acOEW1BeGl3S2KtWBmnUmES9EJ/28KttDgDqtLUCtM0oznh5f4Qt08Xf2eU3CHEi+qObPX96u4thyBvh5ny8TCTGGY6R17yUrjZJX3n7QmNFjIjescu/FOScwdQbgIpP/7xu/zdabv9my+3fbBl1CR/8ScOLV41E9Pud/iqjZDNKv3tkvKE8phfin7vT9VRvGRFdcWpurg8rV7h37AgGYuziMjfg0C5HuT/o9jEMffgmz+Ci1h9hy3Xxvz7i+ORTdYtJ40NOThjarNEDjUGOkT91YOnZK2ZJZjJuvkGnFgA2XokPrHnx42OJ9Mefqv/NkPmdu/zPPjIx5+O/etL6jXfOfvEtzm+/ZvnyWxde+sRYXGYuzWl/cqE8GGNPTxlOfHLskSfrL87piKhCJ738qTEi4lg68egYEd31rebjY4bvn6v4/nunzdr4lFf47K/qZDlzyfShdYr/ftfin/6y7tyM/kcXKp788BTLyL8ZMv/baxVEdHLC8LOLZY//4RQR+aPcn/y8Trna/ZNf1H319+f++12LI0vaz/+6hojubVuuMYnPPjKRqPbObzZ7wtyf/7r2r48s2ozS+RldYsBG+uYAoFpMS0tLoduQwcGDB1999dVCtwJgq+jq6rpy5Uo0ioE91+zZs2d4eHh5ebmAbcAvXAAAlUKABgBQKQRoAACVQoAGuG7V1dV4MBryAB8ygOtms9kwtdDmqaioKHQT1AIBGgDUpampqdBNUAsEaAAAlUKABgBQKQRoAACVQoAGAFApBGgAAJXCUCEAgA3AMExbW9uOHTuOHTsWi8WSX7JYLPv27Tt16lQgECAiq9Xa3t6u1Wp9Pl9/f38kElktE1fQAJtCr7++pXmg2O3evVuSJFlOXS6aZVm73Z6YiIrn+e7u7oGBgePHj/t8PrvdvlomIUADbJKdO3cWugkli2EYZrXliwpndHR0dHQ0Pb+pqcnpdCauqa1Wq8/n83q9sixPTEzYbDaWZTNmkpq7ODgu8xzKAAXHMAzHcdk/okqZvDVpnXI5orxZ89RZrVaNRjM3N7epzeA4rqKiQqPRJGfKsuz3+0VRTC/v9/vTMw0GQ3V19auvvlpdXZ3ICQaDSloURVEUdTpdxsxgMKjSAC3Lsko+KwDpGIZhWbbEAvSaR5Q3a546nufz8HWi0+kqKyt1Ol1KfiQSyRigM+rs7BweHo7Hry3PxLJs8p+SJHEclzGTVHsFzTAM5g4H1YrH47FYLPtHNB6Pq+QzrNfrOY7LPvF8LkeUN2ueOlEU8xAiZFmen593OBw3XENdXV0kEllaWkrOjMfjyRO58DwvimLGTFJtgAaA9eA4rrKyUumoLSsr43leCROyLLvd7twvAGE9qqurKyoqDh8+TESCINxyyy19fX2BQKCycmXFaq1Wy7JsOBzOmEkI0AAlyWg0Vr67crp7mogCdG0J+dqRWvlHstPpJKKmpqZ7ewwaVgnWsbe0NSllPFHDj5+5kPcml6CLFy8m0gcPHrx06VIgEOA4rrOz02KxeDye5uZmh8Mhy7LL5UrPJARogFLlaHFcuD81zvZwPWbGrKR5nv/A9pONBmdKmceGHsxH+0qLIAiHDh0iIoZhlMTLL7+csRNGkqTe3t6Ojg6NRuP1evv6+lbLJARogHxiGMZkMiXSDMMkbg0tLy+nD6HdOjQaTeKmH8dxiVHkkUgk+e6ZasVisaNHj2YpcOrUqUTa5XIl/5klEwEaYMPs+fCeUFlISQcpaL/dTkScyMWPxYeGhojIbDa/61BTkyH1vtNMqPIXpx1Kz8PW1Pn+zoXmBSU9QzPlD5QTkRAVTL8wDQwMEJHJZHrrHR3VOt+1bW6xE9FS1PTcmfGUG3ElAwEaICc6nS5xWafRaCoqKpRHD+LxuNfrVfLDxvDTn3s6ZUOj23jkxJHEn11lUw/Vv5pS5vmFnl++0fOwNYUN4RMfPpGSaXQbj/xi5dSxLHtr5dWMp+4Fzpwoo9VqlXRDQ8Pc3JwkSUQkSZJKBqhcLwRogJw0NDR4/8gbtASJaJiGE/k7T+48/9PzSlob1N721G0pG2oiGioJ7e3tV65cKdTeRVHs9+2YCNpS8kOSJhqdUtItLS33dbEGLkJERFHqsSr5o8vVTz33Wv7aunEQoAFyNXz7sLMxtReiobchkR55coT7+UpHqt1uHx4eJiKRRE/Uk7dGbh6j0VjAvQeDwe8/fVlJV1dXC4IwMzOTXuzd9WdK6bYnAjTAhkk8rUtEkiRlfPYXMtKENZ0nOlMytUFtQRqjHgjQALAxqqqqBEG4sSkypn85XfnMypMaTU1N4+PjSnoqOLVRzStGCNAAsDFYllXmYLsBbrc7kd62bdt6HrAuJZhuFABApXAFDQCr0uv1iUl8OI4zm1cGtIXDYWWUoUajaW5uVjJ1Oh3HcYkncaamppI75eEGIEADwKrs77YvtF57fsT4gJHe/PyITqf7wG7P/XWXUjY86dz5D0tGBOh1QoAGgFWFTWs8P0JEBj5apfGlluHCRMKmt6/UoQ8aAEClEKC3LrvdnjxHOACoDQL01iUIwg0PigKAPMD/JwCASiFAAwCoFAI0AIBKIUADAKgUAjQAgEphlBUAFJnl5eUtMkJ0SxwkAKSLx+M/nrxTx8VS8hcjZYm0NqTd++zelAKaUIHXiNk6T5AjQANsUWNjY1NTKxGgo6Pj6tWriVUWr5X5zzHNr1bCcWtr69WrV5X0eHj8xnba0NAwOztbFAt1qwECNMAWJcuyEpGJKB6Pi6KY+DMheVEYURSTZ22+MeXl5Q6Ho0iXcM0/BGgAKB2ve5rTF5b1S4aCNGb9EKABoETMzs5+5XkTUSURNTQ0zM/Pi6JIRJI0Weim3SAEaAAoEcFgMHH/0GazOZ3OYu9LwThoAACVQoAuTTqdzmg0FroVUDRCoRBGVqgQujhKU1lZmSAIgUCg0A2B4jA6OlroJkAGCNAAsLnKy8srKiqUtNFobGhokCSJiERRnJmZKWjT1A4BGgA2l81mm/jihLfaS0QDNJDI3//k/pkfIEBngwANAJvO0exwNjpTMqP64h5ikQe4SQilo7a2luO4QrcC1uvKlSuFboJaIEBD6bBarQjQJWBDbm67XC6lp7uooYsDAErQ/Px8oZuwARCgVaezs3NkZCR92po1CYKwbds2JW00GjmOS8yZu7CwEA6HichsNpvNZiVTr9fX1tYqz8LG4/HS+EADlBIEaNVhWZZhmBvYUK/Xy++XB+8YTMlvPt9s/mezEqBramo+e2C2SqtMUTaVKPP03M0//A0CNIC6IECXFL/VP9OZOm6pcqbSTObEn51lM42G1PvpLzl2bXrjAOA64SZhUers7Cx0EyAfNJq11y5J9FlB6UGALkparbbQTYB8aG9vFwQhe5nW1tb8NAbyDwEatpYb698voKJrMGwgBGjYWnp6egrdBIBc4Sbh1hKJRP7b6SPKxJJ6vT4cDsuyTEQse+2ruq2tLdGFotfrQ6GQkl5aWpqbm8t7kzdY8pECqBwC9NYyNTU1NbUyuq6rq+vKlSvpS07cs0v4dOszKZmeqOFTRw+VQIDOiGEYnU6npMvLy3med7lcyp+J7zAiqpirIDl1WyGyRh8xwA1DgIZUjBw3cJGUzAhXyh8Vs9nc9K4mR5ND+VMksZzKiahyptLxC4fT6SQil8vV+qWV23FVVVVut1t5kng5vlygVkPpK+X/OoDcTXVNvfrQqymZPc/3mH+5MojN7Xa73W4l7ff7XS7XVluCRHnoNIUsy68ttaYvpL0UNcXjE4k/hbCgDaYOPWLj6G5aAwI0FIeysjKe55eWlgrdECKixcXFQjehAHp7e9Mz/X7/z1+4oAw1qaqqEgQh0Q+WmK5geXn5zr+8U0kbjcZgMKj0Gt3AfAZbDQI0FAedTrfmiGAoiMSVtSRJLMumh935+fnETC+r3fmAjPATA1Shurq60E0AUB0EaFCFxDx8JWN6errQTYCihwANsCmUsR8A64E+aAB12b59u81mSzxM1NXVlXiY6Pz580oZm82W6JHXarWJ3x+BQMDr9Rai1bApEKChuNXX19tsK2O8DAZDIpwR0YULF5REV1eXXq9X0nq9/pZbblHSi4uLExMTpDJarfaFf3ghfYnVBx97kFbiMz1wW839tRffeGWKuomIApLusTNtCNClBAEaipter3/xH1/MHM5W4jPd3MQ3G1J7hKOy8IuASUnLstx0oalssSylTPlC+Uw8dX5tNTg7QRdm9ilpo9GoLOLHMEwotDJSOxaLtfykZcdPdhCRIAgsy0YiKw8fXQ1fLUST4UYgQKsCwzCJ5alYluV5XrkMlCQp8TSERqNJrIjKcVzikjAWi2V8ggASfva7gcSp27VrV39/v5KOxVZG7Pr9/t4nVgb5Jg/mnaVZdY7VTR6SvHfv3sRvhYRQKJTIrK6uFgRhZkaN3zSQHQK0KjQ3N/Nv5SOGCBH5yGejld/stnHb2SfOKul33L3bFb02NfuBAweUxPz8/MDAgJK2Tlk7T6TO5V8zWhOk4Ka2X+WSR91KkpSY/ilZIhCvNpi3eEUikUS3T8EtLCyU0rndbAjQqsCy7Jl3n8n8O/0NTx/vS1xl2+324eFhJZ346RoIBAJPBqqfqiYis9nMcZzH4yGiqBxVEkVHq9V2dHQoT6kpv9MT3c0jIyPLy5gEIyeq6pXG4JbrggBdNJKv+yRJ8vv9KQUkSUo8Zav8qp2dnc1f+65fQ0NDYkknvV7f0tKipD0ej/JIt1arfW/HzIPbzqdseGxx19/O6BGgoeQhQEPBlP9e+Wvvek1J99JKp6puWdf1t12JOTcEVkqfWk9g0OcOWwICNBSMqBHT1yA3uo1d1FWQ9sA6ud1urIewsRCg8yplwBNAKdnid/8Yhmlra9uxY8exY8cSp8JmsylLFPn9/oGBgWAwSERWq7W9vV2r1fp8vv7+fiUgZMxEgN50giBs375dSRuNRpZlE93Hs7Oz4XCYiDYp5lkAACAASURBVCKRyO3/cbvESynb8iLeIIDisHv3br/fnzxgRqvVdnV1Xbhwwev1trS0dHZ2njt3juf57u7uCxcu+Hy+lpYWu91++fLljJmEAJ0Her0+8sFI712pc+m2vdpm/v/MSoCempqib63kYz5GgGI0Ojrq9/ubm5uTMwcGBpQxVA6HQ3ki32q1+nw+ZWjNxMTE4cOHWZbNmBmPx9UboEtmtXmGYYJlQeeO1NFFdVfqzGROP0zmDdnrXPP85FhJ7uf5ugqvR2JHa7Z/zXqyVJ5LAzZcoY4IbgzHcemzkK/Wk5M+sCoSiSwsLCjpyspKJVIbDAalo4OIRFEURVGn02XMDAaDKg3QsiwnFpYudoIgSJTad5F4Kf0wWZbVaDRr/idnPz+CIPA8n71MLjtKKZ+fNyWxI0EQaK1Tl3hEMF3G1m7Iqbthm3FE09PTJfPPoiosy+7YsaOuri45U5blkZGR9FicndVqbWhoOHv2rFJt8mJpkiRxHJcxk1TbxcEwjPLbvwRoNBqOMv/LxWKx9MOUJCkSiWTv4ojH49nPj/Iln71MLjtKKZ+fNyWxI41GQ2udOmXl1owytnZDTt0N24wjKpn/FLWJx+Ojo6MOh2Od9dTW1jY3N58/f1657xePxxNPnBERz/OiKGbMJMwHvZU5HA5M4gGwqWw2W1NT0/nz5xMPmgUCAZNpZZYurVbLsmw4HM6YSQjQW9ni4uJWW5caIJ8EQejo6Lh48WLyyFqXy2UymSwWC8Mwzc3NDodDluWMmaTaLg6AQlHPvEJQRARBOHToEBExDKMkXn755aqqKq1We/DgwUSxEydOxGKx3t7ejo4OjUbj9Xr7+vqISJKk9ExCgAZI4XQ68TgcXK9YLHb06NGUzNnZ2Yzz4bhcrlOnTuWSiQBdmkRRxNCrGyPLcpbbdAD5hABdmhKTDQFA8cJPOQAAlcIVNKhaUNQ4o6lLBQYk3Q1X6HK51tcigPxBgAb1CofDP71U99NLh4lIp9NxHKesjkpEgcCUklheXr77C3craaPRGAwGlWEYqw3xnpqa2vR2A2wQBGg1wkgvRTQaHRoaUtKrrXw6Pz8/Pz+vpDHPFJQYBGjVGRwcxCgCACDcJFQhRGcAUCBAAwCoFAI0lI7FxUVM/wSlBAE6VzU1NXgCWOUcDgemf4JSgoiTq6qqquQJW0HBcRxOC8AmQYCGdbFarTU1NYVuBUBpQoAGAFApBGgAAJVCgAYAUCkEaAAAlUKAhk1nt9sx0gPgBuDfZiNptdrk1SG3stra2traWiVtNBqNRmNikrne3l4lXxfU3fbUbSkbaiKafLYTQM0QoDdSZ2fnhQsXCt0KVTCZTC/+44vORmdK/oOPPUgr8ZmGnxjmf77yCbTb7cPDw0QkkuiOuPPYUgD1QoCGggmFQom0JEl+v7+AjQFQIQRogLwaXt721HRqx85EqFqWsdQLpEKABsgfv9//1MuzSrqiooLneadT6QVyeL3eRLHuF7uD5mDKtia3KU+tBNVAgAbIH1mW3e6VHnZBEARBSPyZMDExofunlUUXW1paJicnlSn6BqSBfDYV1AABGkBdYrFYLBZT0qIoBgIBLOK1ZWEcNACASiFAAwCoFAI0AIBKoQ86H8wuc/1AfUpm+UJ5nLD8BwCsCgF6vTo/3ikJK+twBylov91ORKzIikfFkZERIgoGg5afWTp/1klERqOR4zifz6eUn/fNF6jVAFAEEKDXK87Gn/7c0ymZRrfxyIkjSloUxYmJCSVdXV0tCMLMzExemwiq5Ha7scolZIcADVAYibF0AKtBgIZUobj22YW9qZnS5k4yNzg4mL1APB5X5sMD2DoQoCHVfx4f+xW/Eo5bW1uvXr2qpMPhcSVhNBofONRh4JOenripkohCovDs6VGPx3MDOw2Hw9kLuFyYqgK2HARoSJU8q5woiunPInMct88y+lD9qyn5zy/0HBXMm9QqXD7DFoR7FAAAKoUADQCgUgjQRYlhmEI3AQA2HQJ0Uerr6yt0EwBg0yFAFyXMPwmwFSBAAwCoFAI0AIBKYRx0Xnk8Hky/AAA5QoDOK/QdA0DucDUHAKBSCNAAACqFAA0AoFII0AAAKoWbhHAjYnEuKGlTM+U3fZwq5ioobQY6ISJsasNKjMPhEEWx0K2AgkGAXi9NWNN5ojMlUxtMDV6lJBqN/qR3+09630ZEWq2WZdlQKKS8FAqtLO7ldrs7/rZDSVssFq/XG4/HiSgYCxaiycVqcXGx0E2AQkKAzqapqclwr0HUiEQUo1jTW5qUfIPXcOFHF5T09C+nK5+pTJQfHx9X0lPBqTy3Nm/C4XBiMpDVVll0uVyJKfa7urquXr2KIYYA1wsBOhue509+4KSz0ZmS/+BjDybSyfPZb9u2zeFw5KlxAFDqcJMQAEClEKABAFQKARoAQKUQoAEAVAoBGgBApRCgAQBUCgEaAEClEKABAFQKD6rAuni9Xo7jCt0KgMJjGKatrW3Hjh3Hjh2LxWJKptVqbW9v12q1Pp+vv78/EolcVyauoImIGIbBSlQ3JhKJBIOYXgOAdu/eLUmSLF+bIYzn+e7u7oGBgePHj/t8Prvdfl2ZhACtqKqqqqurK3QrAKCIjY6Ojo6OJudYrVafz+f1emVZnpiYsNlsLMvmnkkI0AqGYQrdBAAobn6/PyXHYDAkfl+KoiiKok6nyz2TVNsHLcuy0r78EARBEIT0PWbpXc3YPJZl89nsPNiQI+I4TpmVdEOaBJAfLMu2tLQ0NDSk5I+MjPh8vhxrUGbZVUiSxHFc7pmk2gDNMEw4HM7b7pQe/fQ9SpK02iYZmxePx/PZ7DzYkCOSJCkSiWC6USgu8Xh8dHR0PfNTxuNxnr8WY3meF0Ux90xCFwfkQTAYzPJVB1CqAoGAyWRS0sqPyHA4nHsmIUBDHoyNjSFAwxbkcrlMJpPFYmEYprm52eFwyLKceyaptosDAKCICIJw6NAhImIYRkm8/PLL0Wi0t7e3o6NDo9F4vV5lHSJJknLMJATojTU7O1voJgBAAcRisaNHj6bnu1yuU6dO3XAmujg2Eta7AoANhAANAKBSW7eLg2GYxG1TnU7H87zZbFb+TIw6kCTpnn+/R1nVO5l2WZvPpgLA1rR1A7TZbN7+3u2z7bNE5Cc/EfHEE1H1RLXrcZfT6SSisbExGlsp39XVdeXKFQzmBYC82boBmohm7bOvPvRqSmbP8z3mJ8wFaQ8AQDL0QQMAqBQCNACASiFAAwCoFAI0AIBKIUADAKgUAjQAgEohQAMAqBQCNACASiFAAwCoFAI0AIBKIUADAKgUAjQAgEohQAMAqBQCNACASiFAAwCoFAI0AIBKIUBDNkNDQ4VuAsDWhQAN2YRCoUI3AWDrQoAGAFApBGgAAJVCgM6Vx+ORJKnQrQCALWRLr+p9XWZmZgrdBADYWnAFDQCgUgjQAAAqhQANAKBSCNAAACqFAA0AoFII0AAAKoUADQCgUgjQAAAqhQANAKBSCNAAACqFAA0AoFII0AAAKoUADQCgUgjQAAAqhQANAKBSCNAAACqFAA0AoFII0AAAKoUADQCgUgjQAAAqhQANAKBSCNAAACqFAA0AoFII0AAAKoUADQCgUgjQAAAqhQANAKBSCNAAACqFAA0AoFII0AAAKoUADQCgUgjQAAAqhQANAKBSfKEbAABQCmpqalpaWliWDYVCAwMDoVCIiKxWa3t7u1ar9fl8/f39kUhktcyMcAUNALBeWq22s7PzwoULJ0+edLlcnZ2dRMTzfHd398DAwPHjx30+n91uXy1zNQjQAADrZTAYwuGwctXscrlMJhMRWa1Wn8/n9XplWZ6YmLDZbCzLZsxcrVoEaACA9fL7/RqNxmw2E5HNZnO5XERkMBiCwaBSQBRFURR1Ol3GzNWqVWkftCzLWq12U3chCEKc4hlf4nl+s/cOACrHsmx9fb3Vak3Jn56e9vv9KZmiKA4PD992222iKMbj8bNnzyo1xOPXgowkSRzHZcxcrQ0qDdAMw0Sj0U3dhSiK7Co/IERR3Oy9A4DKBQKBycnJxNVuQsZ7eiaTqbW19eTJk+FwuKamZu/evadPn47H4zx/LcbyPK+E7/TM1dqg0gBNRLIsF7D+zd47AKicLMuRSETpVl5TZWWl1+sNh8NEtLCw0N3drdFoAoFAZWWlUkCr1bIsGw6HM2auVi36oAEA1isQCJSXlwuCQERWq1X5Fa7cLbRYLAzDNDc3OxwOWZYzZq5WrXqvoAEAioXL5Zqdnb3tttuIKBaLXbp0SZZlSZJ6e3s7Ojo0Go3X6+3r6yOijJmr2RIBeteuXf39/YVuBQCUsrGxsbGxsZRMl8t16tSpXDIz2hJdHBqNptBNAAC4blsiQAMAFCMEaAAAlSrZPui2trbEwyZGo7Grq0tJLy0tzc3NEZEsy00XmsoWy1I2LF8on4nP5LOpAAAZlWyAFu4Rnvn0MymZBo/h0KcOKQHa7/f3PtGr5FutVo1Go+TP0myWceMAAHlTsgE6zsQjhtQHfvjIm443FospiYWFBYZhkp+/BAAouJIN0NdFlmU8OggAaoObhAAAKoUADQCgUgjQAAAqhQANAKBSCNAAACpV9AF6+/btWVb0AgAoXkUf2srKypKXJwAAKBlFH6ABAEoVAjQAgEoVZedAbW1tbW2tklYmQlKeAxRFsbe3t6BNAwDYMEUZoE0m0z/e/mKjwZmS/9jQg4jPAFAyijJAE5EnZjREoymZYtLhcCJXNVGVUkDv1296ywAANkhRBmi32/0Xx3uUtMVi8Xq9ykR0knRt+rrgC8EDLx9Q0lar1eVyKWmX25XfxgIA3KCiDNAulysRcLu6uq5evRpNu5oeHx9PpPfu3Ts0NJS35gEAbAiM4gAAUCkEaAAAlSr6AD02Npbev5EiGAzmpzEAABuo6AN0LsF3eHg4Dy0BANhYRR+gAQBKFQI0AIBKIUADAKgUAjQAgEohQAMAqBQCNACASiFAAwCoFAI0AIBKqXSyJI1Gs3v37kK3AgC2LpPJVPAFqVUaoIlozQe4AQA2jzKJcWGpNEBHo9HBwcFCtwIAtq49e/YUPEavBGidTtfV1VVWVhYKhfr6+vx+PxFZrdb29natVuvz+fr7+yORyPozAQAgRys9LN3d3U6n86WXXpqYmGhsbCQinue7u7sHBgaOHz/u8/nsdvv6MwEAIHc8Een1er1ePzk5Kcvy3Nzc3NwcEVmtVp/P5/V6iWhiYuLw4cMsy64zs+C/FyAXH3lgj5kPpWSKMnd8WEa/E0A+8URkMpmCwWBHR4fVag2FQoODg4FAwGAwJGbyFEVRFEWdTrfOzPSpQVmWtdlsGZrF80pA5zhOlmUk8pkwsOHPtT+d8o64o8aXR+7Fm4LE1klsUIxdF5aIeJ4vKyubn59/+eWXnU5nT08PEaVc8EqSxHHcOjPTd88wDL+KRAEkCpJIp5KGIYFE3hIFxxORKIrBYNDtdhPR5ORkW1ubIAjxeDwRJYmI53lRFNeZmb57SZJmZmbS8+12uxLfE1shkedEung8jjcFiS2VKDiWiMLhsCAIybmyLAcCAZPJpPyp1WpZlg2Hw+vMzNMxAQCUBJaI/H6/KIrbtm0jooaGBuVPl8tlMpksFgvDMM3NzQ6HQ5bldWYW+mABAIrJyjC7ixcvbt++/a677qqpqenr6yMiSZJ6e3s7OjoOHz6s0+mUZf3WmZlPN998c319fXLOtm3bbr755vSSJpPpwIEDm9eS7du3t7e3Zy9jNpuVNiQak0gkXloPu92+ffv2dVYCAHm20k0cCoXOnDmT8prL5Tp16tTGZubN3NxcXV1dcgd3bW3t/Px8npthMBjq6+tfe+217MWWl5fPnTt3vS/lbmRkZP/+/U6nMxRKHT8HAKql0ke9129xcbG9vV2v1yshSafTmc3mixcvVldXNzU1MQwTjUaHhoaSR/6VlZV1dnYqX1RK+tKlSzabrb6+fnl52WAwcBw3NzdXWVmp0WhcLpfys8Bqtba2tiqd7H19fbFYLLkZjY2Ns7OzkiSZTKbOzs6lpaWysjJBEIaHhxsaGgwGg8fjGR4eNplMXV1dp0+fTj+Q5JfSG69U63K5zGazTqe7cuXK0tISwzAdHR3l5eUMw3i93qGhIeVm7Pbt25U233HHHb29vcoodQBQrZKdblQURafTWVNTo/xZU1PjcDgEQdi5c+fly5fPnDnjcDg6OzuzV1JfXx/7aEyr18784cy5T5zz7vRW762+/OjlcFO4trZWq9Vqtdpdu3b19fWdPn3a5XJ1dHSk1FBVVbW4uKikjUaj0+l8/fXXl5eX7XZ7f3//2bNnlXpyOSKdTpex8Uaj0ePxXLx4cWxsrKmpiYhsNptGozl9+vTp06ej0ahyt9bpdCaGnCtD3XPZKQAUUMkGaCKan59PBGilf6OystLj8SjX1HNzc2azOXksYEYzHTMRQ+TMu88MHBqY3jU9vme87y19wbJgNBrVaDTKA5NKsJudnbVarckjKPV6PcMwiV4FURSVi9ZQKOTxeJRRa0o9uRzOao2XJGlpaYmIgsGgEusjkYjRaFQaMzIyouw0GAyyLKvT6YjI5XKpZyARAKymZLs4iMjtdrMsW1ZWJssyy7Iej6esrCzRBaHEx5TxhRmJupVYJrOyqHkjLctExPN8RUXFwYMHlUxJkgRBSEyUKghCco+HJEmJbRNP8eQ+uCW5tuTGJ6qlNwbYe73ekZGRxsbGXbt2LS4uDg8PK7tTvgww3hGgWJRygJZleWFhoaamRpbl+fl5WZaj0WhZWZnyKsuyLMtGo1G9Xp8on9h2zStrRTQadblcvb29G974jPvK0vgUDodD6dLp6upqaGiYnJzMQwsBYGOVchcHEc3Pz1dVVVVVVSnjN5aWlioqKpSgVl9f7/P5ki8/o9GoTqdT1lDIOENIuqWlpfLycqVCs9mcMmmfKIo5Bvoc95Wl8ckaGhqUzuhYLBaJRBJfPBqNRrm6t1qtG9gwANgkJf5fGgwGlXmola7bSCQyMDDQ09PDMIySTi4ciURmZmZuueWWcDjsdrstFsua9SsLC/T09LAsK4rilStXUvbOMExiJMk6ZW98soWFhc7OTqXjxefzzc7OEpFer4/H40r/RkdHB0ZxAKgf09LSUug2ZHD33XcfP3680K2gtra21/7lNWejMyX/wcceHPrXoVxq6OjoCAQCU1NTm9C669PY2KjX64eG1m72J39/5+d3/jol0x01Pvy7I1m+FQBKzJ49e4aHh5eXlwvYhhK/gi64ycnJ3bt3z8zMxAs6FzbHcfX19RcuXChgGwCyaGtryzjedGlpSZmhfmtCgN5cwWBwdna2tbU1pfcjz1pbW6enp/EYIaiWcI/wzKefSck0eAyHPnUIARo2kRpGUOR/LhSA6xJn4hFD6rKlfGSrB6hSPv4jbYH/57DTZhQHHNq/fK563K3RcHLvn41EpZVnSV4YMX72V3XJm3CM/PnDrkducR/45xZ3aGWFgXeP0f9+jeoD9OI2+qO7yashInp7x/JnDro0nDztFf7queop75vGU6e/utquH+jwf/YOl9Ug9S1o/+p3NRPua/WstknGXWdsOQAUNZ6IWJa95557Ep2ki4uLly9fpiJf1bvWLP7D2+Y//uS2C3P6z97h+pvfc/zRfzSU6+LuELf/G6veF/3aO+cGHNp40rMj28Pxf3+F7n6Q+i3078fo71+lT99JVib8N/cuvOv/Nk57hY/uc//t/Y7/8h/XZs6rMYnpr2bcdZMl+qV7Fz/80/qrS9rPH3L+z3sdH338Wj0ZN8lYecaWA0CxY+mNR9SOvkGJziWwqvdfPldzflYfl+nZYVNzZYyITBrJH8k29Ptrr1i/9oo1OefgUuzlWnq9iiIc/e+b6H2jRER1bHB+mZ/2CkR0csLYbn3Td09jRSz91Yy7jknMF56uHXZqpTg9d8XUbIkmv5pxk4yVZ2w5ABS7lTUJ02dmSCzLLcvyxMSEzWZLXqv7xjLzeWDzfv6ZoZUlXe5oCp6b0RNRmS6uF+QfvG/69KdHv/femaY3B0QiGnBkm7fIoyVrmCqiNBYvq9RLXTURhqF725ZPThiSiw0uatNfzbjrGZ9wfMxARCZN/AO7vUevmpLrybhJxsrXbDkAFCOe3lhCe9++fSaTye/3Dw4OBoPB/KzqnQeHmoMf3OP90E8biCgQZY9eNX73bMWMT/jMQdfX3zn/4Pcas2/+SqXw94N0yyJdsNLnL1GcIZ1IAZn/8nHbEx+eWo4woRj7hz9tSN7EH2G/fCz11Sy7/uJbnI/c6j47rf/Uz9/UIZ5xk4yVA0BJYumNmTkHBwdPnDjh8/l2795N+VrVWxmfm47emPeH5/n1JN7VHfzLexY/+kS9M6RjGGbEpfl/j24bc2sjIvONMzXNlmi1SUzfKrF3hmGmdezHDtN3j9HlJ+hqGRGRV0NNrP/P7nTd+52mW7/e+uVjNd95zyzLXNt8V62kvHrwX3b+3Yu277xnViPwV5e0f/Vc9aTPEJXYr560NluiNWZJ2ek/HLft+Wrbi2NlP3z/DJNUz7jX8Ne/qxld0kgk/NMrVc2W6LYK2mmL/tmdrvu/23rbN9qUyjl2A05UcmLVzwrLbtQukECiKD51BccSUSAQGBgYCAQC8Xj86tWrRqNRq9XG4/HkTonEWt3ryUzfvSzLYiYMwygnSJblG07c2xb42C3Oj/xs+4RbUHJsRrHFEl4JviSzjByTmPTN6c3rrj/eQj3voc730dkqGi6nEE97eOfrs/o5v4aInr1ibiiLVZvExOb7G5Zfn9XPeHlZlp8bKWsoi9mMsWqT1GaNKmVYhlhGFuNshy2yf3uAYZhQjPn+uYr2qkiVQUrUU2WItVfFlIZxLMMyclSk23eEzs/oZrw8wzC/HTY1lMWUQL+eE5WSWO2zsoG7QAKJovjUFRxLRFqt1mg0Kn8rzYrH4/lZ1Tsejy9kkpiQU5KkG0uYNeJfH3F88qk6xzKbeKmzOvKth6bqTBGOpU/etti7oHOHOEmS3m732oxiYnOlYUQky3J1JH7lp9TsJ6NI/+ssfc9ORDQhmW7aFirTxIjoQIM/EGMXl6/VM7wo3LQtVKGTJEk6uH05EGPnvbSzKvSdP5ipNYYZin/64FLvgs4VYKpN0pfvn20oixDRAzs9S0HOGbxWj90a/NZDU/VlMZKlR/c7exd0zmUaXhRurg+bhWg8Hr9jRzAQYxd8zHpOVHpitc/K+t8UJJAork9dwfFEpCybdO7cuXA43Nzc7PP5YrGYy+Xq7Oy0WCwejyd5re71ZObzwO5tW64xic8+MpHIufObzcfHjD+5WPHTD01refnynPZzv6pVXvriXc4//3VtTGJe/tQYEXEsnXh0jIgefm77a1r2G1306n8SJ9PPWumx3UREFyTbzy6WPf6HU0Tkj3J/8vM6SWYS9ZycMKS/mnHXx8cM3z9X8f33Tpu18Smv8Nlf1SknSakn4yYZK6/QSSktv+tbzc4ARkMDFLeVyZKampq2b9/OsqzP5xscHFSeCbZarXa7XaPReL3exGp768zMUZ4nS/rUgaVnh02jS6krm1zvZEmr1bNR7ckPTJYE+bfzkzt//fnUT53RbTzycME+dSqaLGl8fHx8fDzltaJe1fu6THuFDYmGaqsHAIpaiU/Yn6NfDZhLsh4AKGqlPBcHwAZqbm6uOFiRWJQyQbusPfvEWSWtDDBN31YUxTzfg4HSgAANkBOO447+8dGMNyQS6e4PdofKUud05UROPi4PDg5uehOh5CBAA2yYsDH89OeeTsk0uo1HThxJ/LnaQvK4yoZ0CNAA+WM2mx+8s61ev5SSvxAu/82ZGZfLVZBWgWpt3QDN83x1dXXGl5xOp7L6NcDGYhhmb8X4Q/WvpuQ/v9DzWxZ3hiHV1g3QBoNB+37tyG0jKfmNlxvLv12+uLi4UTtiWba8vDzjSz6fL8szVACwxW3dAE1EnlrP6L7RlEyj22imjbyWMZlM1e+rnu6eTsmvHanlfsQ5nak3nVZjs9kydl8GAgGv17veVgKA+mzpAJ03jhbHhftTV9Tu4XrMzHV8EzxwW839tRdTMgOS7rEzbQjQpaS8vLyioiI9XxTFmZmZ/LcHCggBumho2dg+S+r1vjtqJGorSHtgk9hstokvTnirU7909z+5f+YHGxmgq6urbTZber4oikNDGWYygPxDgAZQHUezI33AdVS/wTeuy8rK/s+dZxoMqUNKvjFyP+KzSiBAA2xdOi5m4FJXc2ZJFTNtAmEuDgAA1XrTFbTFYtm3b9+pU6cCgQARWa3W9vZ2rVbr8/n6+/sjkcj6MwGgiKw2u4h6prQvbdcCNMuydrs98YAGz/Pd3d0XLlzw+XwtLS12u/3y5cvrzCzQMW6u3R/ZHTanLhaD6RegNHR/oNtT50nJ5GO85jkNJgfPg2sBuqmpyel0Jh6us1qtPp9PGb81MTFx+PBhlmXXmVmSX7kRQ2TN6RcAilTYFH7+E8+nZBrdxiPP4eOdDysB2mAwVFdXv/rqq4kAbTAYgsGgklYWctXpdOvMTORACovFYrFY0vPj8Xj6QgrrsWPHjjt3VQhc6jdlTGJ/9EzqIGsAKKyVAN3Z2Tk8PJx8hZtywStJktIbtZ7M9N1zHNfQ0JC+gC7DMEoNPM/H4/HNSGRsT+LYlb1nWdk3Uc9qBRJlshRIlLFarVe+dMVTm/pb8tCPDtH31qgnsVB8LscuCMJHm19qNKQO4Xps6MHECV9tR4nTsnlvipoTWd7E3E/dRn3qNiSR5YhorU/vdX3q1nN6C/ipy35+8oMnorq6ukgksrT0puGQKWeN53lRFNeZmb77eDzu9/vT82VZVqZe3NQEQ6v+J6w58WOino0q46nzpA99jWlj11tP9kT2GrKXyc+botrERp062ohP1mb56gAAEQdJREFU3UYlctnXmmUEQWBZlmEY5coskVBinCzLTU1N+rv0MV3qqqTlC+Vnnzqb/cAL+74XHE9E1dXVFRUVhw8fJiJBEG655Za+vr5AIFBZWakU0mq1LMuGw+F1ZqbvXpbllC+G5JcoaT32DU/E43GOMl/OxOPxNf/lcpnkKD9lbuBE5VJPxgKb/aaoP5FR7qcuHo/TRnzqNvVwcimTOOQ1J1CVJIll2Zc/9HLGtQ5U/qkrOJ6ILl681vl48ODBS5cuBQIBjuM6OzstFovH42lubnY4HLIsu1yu9WQW7jABYFNgAtVNtWrXjyRJvb29HR0dGo3G6/X29fWtPxMAAHKXGqBPnTqVSLtcruQ/NyQTAAByhLk44LrpdLqOjo6ML129ejXjXV8AuAEI0HDdNBrNBzsnMnY7fmnGjAANsFEQoAFKEBZaKw0I0KBeDMNkXFuEEGXWslELrUFhIUCDepnN5vfdWd1dkRplRpZrf3QCUWYNG7LQGhQWAjSoWovJcX9NapThqIdBlIEtABP2AwCoFAI0AIBKIUADAKgU+qChYKqqqjQaTXq+3+/HYGoAQoAuJUajsfu+7mB56qoIumXdyAsjbre7IK3Kou6BuoHDqcsmaYPaxn9uxHJKAIQAXUo4jhs+MPzqQ6kP+PU832M+psYxD1FddOBQaiA2uo2N/9xYkPYAqA0CNBS37du3m95mkvjUh1aEiND3b5hDEYrbSoCuqalpbW3VaDR+v7+/vz8UChGR1Wptb2/XarU+n6+/vz8Siaw/E2BjabXaV973SsbJ4AvSHoANxBKRwWDo6Oi4dOnSsWPHfD6fMlEZz/Pd3d0DAwPHjx/3+Xx2u339mQAAkDuWiGRZ7u3tXV5elmXZ4XAYjUYislqtPp/P6/XKsjwxMWGz2ViWXWdmoQ8WAKCY8EQUCoWUPg2e5xsaGhYXF4nIYDAEgyvjAURRFEVRp9OtMzORAwBwXYxG4313dpcLqTFkWdS9cEaNg5Q2xLWbhO3t7Tt27PB4PMoShYlFeRWSJCWv1HtjmRl2z/NNTU3p+crCwJIkaTQaSZI2IyEIQpwyr6zO87yy9yxX/Yl6ViuQKJOlwIaUYRhGKZOltcpLGo1GKZxR4oRnKaCUEQSB1jp1jY2NVqtVlmVlj8mJ/v7+PJ+6DfnY5O3U5fKpWzORy2lZT5n8f+p0Ot2ByuGMs5Cf1Fk2I1xkOTl5cy1AX7lyZXR0tKGhYd++fadPn47H4zx/7VWe50VRXGdm+u4lSVpYWEjP3759u3KClKo2KcGu8iBlInwkf8ekSNSTRX7KKKvxKmWyrFOulFlzxeiMb1OikqQya5w6jUZz9CtHM967Ey8V4NStP5G3U5fLpy6XRC6n5YbLJH/qsqxTTvk9dRseJQqOJyKz2czzvNvtliRpcnKyra1Nq9UGAoHKykqlkFarZVk2HA6vMzN997IsZ39mLHGaNjyR5UOTywLkubx/JVYmcVqK7tTt2bMn40Wcz+cbHR29ro/NjbVnw0/d5jVVbWWu69RteJQoOJ6INBrNrl27zp49GwqFamtrY7FYJBJxuVydnZ0Wi8Xj8TQ3NzscDlmW15lZ6IOFLepAY/jzO3+dkumOGh/+3ZGCtAcgRzwRuVyuycnJffv28TwfCoUuX75MRJIk9fb2dnR0aDQar9fb19e3/kwAAMjdSjfxxMTExMREymsul+vUqVMbmwkAADnCo94AxUe5b5SeHw6HlSGzUBoQoAGKz0OHm2+tvJqSGZI03329CRMBlhIEaIDio2cj6Us1uqPG71JtQdoDmwSPXwMAqBSuoAGKb60D2CIQoAGKb60DyMhisVgslvT8eDw+Pj6e9+ZsAARoACgRVqv1S4eu1Oo8Kfk/mjz0vfFCNGjdEKABoHTU6T2NhtQZYLRsrCCNWT/cJAQAUCkEaAAAlUKABgBQKQRoAACVQoAGAFCplVEcNptNmaff7/cPDAwoiwdardb29natVuvz+fr7+yORyPozAQAgRywRabXarq6ugYGBY8eOeTyezs5OIuJ5vru7e2Bg4Pjx4z6fz263rz8TAAByt9LFMTAw4PF4ZFl2OBwGg4GIrFarz+fzer2yLE9MTNhsNpZl15lZ0CMFACgyLBFFIpHEyq2VlZUej4eIDAaD0tFBRKIoiqKo0+nWmZnPAwMAKHZvepLQarU2NDScPXuWiFiWTV45UZIkjuPWmZm+e0EQOjo60vMZhlnnOurKEoiCIEiSFI/HEwmGYZQygiDEKfPSkDzPK3vPctWf2NdqBWgjFrfPpYyyHKpGo8nSWuUljUaTce1UReKEZymglBEEgXDqkuDUZaTOU5d7YrWq8ulagK6trW1ubj5//rxyNy8ejycv2cDzvLIU+Xoy03cfi8WuXLmS/v6ZzeaUNduvN9HzwZ5QeerSEpzI0QkaHBxUyrCrr+Ku7D3L4r7ZF5MvVBmGMv8npJzM7GWyFEgqg1OXoUyWAiV86qioTt11JQru2iiOpqamRHQmokAgUFlZqaS1Wi3LsuFweJ2ZGVuQMV+WZeUE3fCq6WFT+OnPPZ1SrdFtPHLiiFJz9lXc13x7VLIoPb1xIPF4fJ1tTjnhGQvg1GWvJ0sBnLrs9WQpsLGn7roSBcfSG/0MFy9eTB4J53K5TCaTxWJhGKa5udnhcMiyvM7Mwh0mAEDx4YnIZrNptdqDBw8mck+cOBGLxXp7ezs6OjQajdfr7evrIyJJktaTCQAAueOJaHZ2dnZ2Nv01l8t16tSpjc0EAIAcYWwyAIBKIUADAKgUAjQAgEohQAMAqBQCNACASiFAAwCoFAI0AIBKIUADAKgUv3YR9WEYJnkmpoR4PK6SOagAANavKAN0S0vL/d2cgUtdQ2ssUP3ks68VpEkAABuuKAM0wzDvrj/TaHCm5D829GBB2gMAsBnQBw0AoFII0AAAKsW0tLQUug0ZHD58OMv80SzLWnVhluJEZGu+yWA0JQpf2yhpkQdZlhOLtjDEXKt5tYV4kvf8RhmD3hAKh65tu2k7Sq4kuQyzyo7oOnfErLIjOdOODAZjMBhI39G1MnJK46/jiHI5dRuyo+s6dQIvMCwTjUZTW1u0R5Qq04dBrzeEkz7e1/V/pKoPQ6KMRtBcufgiI8tEFJG1ntCqy26thuO4M2fOhEKpCzPlk0r7oI8fP55jyY98pOOHP/qJ3+/PUsZoNAYCgSwFBEFgmKT/ycw7+sjPf/7zPOxIr9eHw+Hs6xvkbUePPvrov/zLv+RhR+o5dTfddJPRaHz55Zc3e0eqOnWl9/H+yEc+8tzJgexHpH7o4gAAUCkEaAAAlUKABgBQKQRoAACVQoAGAFCpUgjQ8Xg8e4Hst4zVtqM3DULCjvK+ozXf5Y3aUS7ytiMquY835fZWqpxKx0HnzmAwBIPB7GUYhlnzLV+zTN52tCGVbNSONuSoVXVEa5bheZ7juEgkdaaXDd9RLmXytqPS+3jnckTqV/QBGgCgVJVCFwcAQElCgAYAUCkEaAAAlUKABgBQKQRoAACVQoAGAFApBGgAAJVCgAYAUCnVTdjf0dHx/7d3dz9p81EcwA+1L8JgTlgHKAGLosURs81kd5tm//eehDESL5a5NylhGYlmuxAlQmmhri19Ln6PPESRTajwo5zPVVer6fe0OymFHlZXV30+X6FQGP40120ikUgmkxEEQVXVUqlE/ojP59vY2EilUvl83jRNt/d6Zoxf3oGVpLy895Q6Go2m02mGYTqdjqIo0/3qjWvGjyyK4sbGhiAIrVZLUZR2u80wzJs3b3rPT5+dnX39+tXVvR5m/ETRaHR9fZ3n+VarVSqVyPGi/NSl7gq6XC6/fft25F9nWTaXyymK8u7dO1VVNzc3yfqdnR3btt16xn92jVleuKWSlJf3PlILgpDNZj99+lQsFuv1ejabHXs33TRmZEEQnj59qihKPp9vNBokHcdxpmn+c2WS3RnGThQIBGRZ/vLlSz6fV1VVlmWynvJTl7or6GtWV1dTqZTP5zMM4+joyDCMUCi0vb19fn7+8OHDxcXFSqVSr9d720ciEVVVm80mABwfH79+/ZphmG63W61WW62WJEnTi0Kju5YXAAZWcrbK60rqQCBgGAa5CqvX66lUatIx7mKEyIqiNBoNAKjVaisrKwDAsqxlWdMJcMNdEzmO8+3bN03TAKBWq0WjUbKe8lOXuivofhzHbW1tHR4eFovFdrtNiug4TjAYbDQah4eH1Wr12iyR/gkplmVZlrW4uAgAs/7VZPdhhPLCLZWcofK6lbrVavE8HwqFAEAUxWvdjSojRL68vDw9PSXL4XCYdGqWZRmG2d3d3dvbe/HiRSAQmHwWYoREnU6HHCOWZROJxNnZGVlP+alLdYM2TTOfz5OLlIuLC9JqAcC2bVLrdrstCEL/r5Dr5d4/bdteWFiY4C7PkhHK6wFupbYsq1KpvHz5cm9vL5FIVKvVe93tcYwTORKJJBKJSqUCAJZlnZ+fl8vlQqGgqurOzs6kElw3cqJMJrO/v+/3+2k+Xv1ov8WRTCZFUXQch+M4wzDIStu2ycL1r3AH6Ha7LPt/KKpelFHoruX1BldSB4PB9fX1YrFoGEY0Gn327NnBwQG1tzJHixyLxSRJ+vjxI3lTTtd1RVHIj378+JFKpQRBGO39uvGNluj79+/VajWRSOzu7h4cHExud0dFUYMWRbHT6WiaxjAMANi2/eTJk2g0+uHDB8uy4vF4PB7/4x/RdT0cDpNlQRAYhukdvDnnSnlnzv2lDofDzWaTnF2np6e5XI7n+Wl1q35uRRZFcW1trdedAUAQBJZldV2Hq7n7k5mI70qiUCjEsuzFxYVt2ycnJ+QDKjQcr+EousXx6NGjTCazsLAQj8d1XbcsSxAEwzAsy2JZNhaL/c3Ninq9HgwGl5eXfT6fJEm1Wo3ai5oJc6W8M+f+Uuu6vrS0xHEcAEQiEcuyfv/+7eq+j8iVyBzHybL8+fPn/hYWDAafP3/u9/vJfy5VVSfzuTRXEvE8n8vl/H4/AMRiMdM06e/OALCwvLw87X34j6qqoijKshwIBBRFuby87HQ65L3ax48fkxcmPM9rmhaPx09OTgCA5/neMuE4jqZpW1tb6XTatu1yudztdjmO29/flySJYZhkMilJ0q9fv3qvhuaEK+UdWEmGYagt7/2l1jSNZVlZlpPJ5NLSEj2fg3YlciwWi8fjiURCuvLz509yDZvNZtfW1gCgVCpN5v6hK4k6nY7P55NlOZ1OP3jwQFEUwzDo7wz4jSoIIUQpim5xIIQQ6ocNGiGEKIUNGiGEKIUNGiGEKEXR56BvujlPC24ZVjdwS8rnVE3XfNYWU3sjtfcS3YbeK+iB87QGDqsbuCVQP6dqiuaztpjaG6m9l2gIehs0XM3TchynVquRySy9YXWO4xwfH4uiSB4uurklAFSr1Vl54n7y5rO2mNobqb2X6Db0NuiB87QGDqsbuCVQP6dqiuaztpjaG6m9l2gIeht0T/88reHD6vq3RH9jPmuLqb2R2nuJbqL6TUK4MU9ryLC6a1uiP5rP2mJq8ERq7yUaiOor6N48rd6UA13Xg8EgWe4fVndzSzTcfNYWU5M1s57ae4luQ2+DHjhPa+CwuoFboiHms7aYurdyplN7L9EQ9A5LWllZ2d7e7r+vVCgUTNOMRCKbm5s8zzebzaOjI9M0B24JAK9evYK+m1Pv37+nZCDk1M1nbTE1MeupvZdoCHobNEIIzTl6b3EghNCcwwaNEEKUwgaNEEKUwgaNEEKUwgaNEEKUwgaNEEKUwgaNEEKUwgaNEEKUwgaNEEKU+hdFC/47bbXMsgAAAABJRU5ErkJggg==\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"NQlmR15SNM2E"},"source":["\n","From the two previous graphics we could conclude that the relation between both assets during 2021 will not follow the trend of 2020. We can observe that Bitcoin has lost a lot of value in the\n","last two thirds of January, meanwhile Ethereum has had a constant growing trend during January.\n","Even though it lost a lot of value during some days, Ethereum recovers the value very quick. \n","
\n","\n","Let us prepare the data and test our model with the new data, being the data point the red\n","ones and the model prediction the blue line.\n","
"]},{"cell_type":"code","metadata":{"id":"ahnxRj41uLd5"},"source":["%%R\n","EB_for_prediction <- NULL\n","for (ticker in tickersEB){\n"," EB_for_prediction <- cbind(EB_for_prediction, \n"," getSymbols.yahoo(ticker,\n"," from = starting_prediction_date, \n"," to = final_prediction_date,\n"," periodicity = \"daily\",\n"," auto.assign = F)[,6])\n"," \n","}"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"PgoScmJxvHjJ"},"source":["%%R\n","ETH_pred = data.frame(EB_for_prediction$BTC.USD.Adjusted, predict(regressor, newdata = EB_for_prediction))\n","names(ETH_pred)[2] <- \"ETH.USD.Adjusted\"\n","ETH_pred<- ETH_pred[, c(2,1)]"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"rQIOb2ti32E-","executionInfo":{"status":"ok","timestamp":1613936483608,"user_tz":-60,"elapsed":689,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"19946f16-aa6e-48b1-ee14-70dd8fb15aa5"},"source":["%%R\n","ggplot() +\n"," geom_line(aes(x = ETH_pred$BTC.USD.Adjusted, y = ETH_pred$ETH.USD.Adjusted) , colour = 'blue') +\n"," geom_point(aes(x = EB_for_prediction$BTC.USD.Adjusted, y = EB_for_prediction$ETH.USD.Adjusted) , colour = 'red') +\n"," xlab('BTC') +\n"," ylab('ETH')"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"trTYYGb3OZLW"},"source":["\n","As we can see in the previous graphic, our model fails to predict the relation between this two\n","assets observed during 2021.\n","
\n"]},{"cell_type":"markdown","metadata":{"id":"sTawQtvhKZBP"},"source":["###The big picture\n","\n","Before we make conclusion we have to get the big picture. We know that this is a small set of data\n","and the error observed in this picture may be less than the error produced when the model was\n","constructed with the 2020 data.\n","
"]},{"cell_type":"code","metadata":{"id":"3QZ0QD5ZDiNX"},"source":["%%R\n","EB_whole <- NULL\n","for (ticker in tickersEB){\n"," EB_whole <- cbind(EB_whole, \n"," getSymbols.yahoo(ticker,\n"," from = starting_date, \n"," to = final_prediction_date,\n"," periodicity = \"daily\",\n"," auto.assign = F)[,6])\n"," \n","}"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"id":"6zlEixOEEtDO"},"source":["%%R\n","ETH_pred_whole = data.frame(EB_whole$BTC.USD.Adjusted, predict(regressor, newdata = EB_whole))\n","names(ETH_pred_whole)[2] <- \"ETH.USD.Adjusted\"\n","ETH_pred_whole<- ETH_pred_whole[, c(2,1)]"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"zgnMjTRaG9IT","executionInfo":{"status":"ok","timestamp":1613936925798,"user_tz":-60,"elapsed":735,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"bbd29b18-6eb9-4c58-c606-c11ca86c20fa"},"source":["%%R\n","ggplot() +\n"," geom_line(aes(x = ETH_pred_whole$BTC.USD.Adjusted, y = ETH_pred_whole$ETH.USD.Adjusted) , colour = 'blue') +\n"," geom_point(aes(x = EB_whole$BTC.USD.Adjusted, y = EB_whole$ETH.USD.Adjusted) , colour = 'red') +\n"," xlab('BTC') +\n"," ylab('ETH')"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"meUzRwcOPkzw"},"source":["\n","As we can observe in the previous graphic in which we used the data from 2020 and the one\n","from January 2021, the linear relation that we observed during 2020 does not hold any longer with\n","the new data.\n","
"]},{"cell_type":"markdown","metadata":{"id":"IDfs0q6AahAF"},"source":["###The volume\n","\n","Let us finish the section by taking a look to the volume of of Bitcoin and Ethereum. We have seen\n","that during 2020 the value of both assets were related, now the question is whether the volume\n","are also related.\n","
"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"qR_IPm3MadOw","executionInfo":{"status":"ok","timestamp":1613991979940,"user_tz":-60,"elapsed":830,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"b86c6991-26de-4cf6-e7b1-3c37a0c4fe88"},"source":["%%R\n","BTCVolume <- BTCUSD[,5]\n","chartSeries(BTCVolume)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"ibTnqL_8az_N","executionInfo":{"status":"ok","timestamp":1613991988973,"user_tz":-60,"elapsed":689,"user":{"displayName":"Miguel 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ETHUSD[,5]\n","chartSeries(ETHVolume)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"JLx0iLNFpwNO"},"source":["\n","We can see in the graphics above that the volumes look very similar\n","
"]},{"cell_type":"code","metadata":{"id":"oellUvKbTa9K"},"source":["%%R\n","EB_Volume <- NULL\n","for (ticker in tickersEB){\n"," EB_Volume <- cbind(EB_Volume, \n"," getSymbols.yahoo(ticker,\n"," from = starting_date, \n"," to = final_date,\n"," periodicity = \"daily\",\n"," auto.assign = F)[,5])\n"," \n","}"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"Cl5SucFNTgz6","executionInfo":{"status":"ok","timestamp":1613991355722,"user_tz":-60,"elapsed":751,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"b6e64ef8-1447-44f9-ad69-b1685c04f1d5"},"source":["%%R\n","EB_Volume <- na.omit(EB_Volume)\n","ggplot(EB_Volume, aes(x = BTC.USD.Volume, y = ETH.USD.Volume)) + geom_point(colour = 'red')"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"bIPK-NwFqJzy"},"source":["\n","From the previous picture we can conclude that the volumes are related but the trend is not\n","clearly linear as in the case of the values.\n","
"]},{"cell_type":"markdown","metadata":{"id":"ub4r91UWSYN2"},"source":["##The correlation between Ethereum and the Basic Attention Token\n","\n","As we saw in the third section, the value of Ethereum and the value of the Basic Attention Token\n","have no correlation. In this section we will take a look to the volume of these two assets, this\n","would give us an overview of the popularity of both assets. \n","
"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"InPnnIeFaMPW","executionInfo":{"status":"ok","timestamp":1613991843925,"user_tz":-60,"elapsed":889,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"33012af3-071b-4199-d217-e81a9b9a9369"},"source":["%%R\n","ETHVolume <- ETHUSD[,5]\n","chartSeries(ETHVolume)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"SBjZHdikZthf","executionInfo":{"status":"ok","timestamp":1613991809394,"user_tz":-60,"elapsed":826,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"f005a24d-3e5a-4a3a-cb26-485cd1723787"},"source":["%%R\n","BATVolume <- BATUSD[,5]\n","chartSeries(BATVolume)"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAeAAAAHgCAIAAADytinCAAAgAElEQVR4nOy9eXQcyX3n+YvIqyqrABSqcPICQALg2VSrD4sU2d1Ut1bWjHxJ9tqyd+wnr+wZ+dy3O37jnV0fOzM7Mx5rvDs+5/nakWU9zWpla2xZliVbVovdotgt98UmSJAEmyRIEHcBqLvyiIj9IwpZhbpQKACFBPj7SK9fMZGZFVUV+c1ffuMXvyCHDx8GBEEQxH/QnW4AgiAIUh0UaARBEJ+CAo0gCOJTUKARBEF8Cgo0giCIT0GBRhAE8Sko0AiCID5F3ekG7ALe//73CyH+/u//fqcbgviI3t7ej33sY/L12NjYX//1X+9oc1rBz/7sz66srHzmM5/Z6YZsIx//+Me7uroAgHP+yU9+cqeb41eBppQ+//zz3j+FELZtr6ys3LlzJ5PJeNs7OjqefvppAHj48OH4+DgAnD17NhQKVZ5wdnZW07RYLHbz5s0HDx5429/znve0tbVdvXp1bm5uGz8PskeZm5t78803l5aWAKCzs/OFF17Yv3+/EGJmZubixYvz8/MAEAqFPvCBDxw4cAAAHjx48NWvfjWXyzWxfxl1djt16tTzzz8fDAa/+MUvyuti84eHQqFQKHTz5s3Wf9JaTap12jJ6e3ufe+65ffv2cc5nZmZeeukl72KvPO3LL78cDAYvXLig63rNX72F+FSgPR4+fChfdHR09Pb2RiKRb37zm0IIubGvrw8AGGO9vb03b97knC8uLqbTabl/IBBIpVLZbBYAEomE67qxWKynp8cT6EAg0NbW5rruwsLCDnw2ZPeTSqWuXLkCAJqm/dAP/VBHR8eDBw8IIYcPH+7p6fnDP/xD27a/53u+59ChQ1NTU0KIo0ePapr2+c9/fqP7V7511d0IIT/wAz8wNDSUz+frt3yjh/f29gLA/Px8iz9prSbVOW3pbuFw+KMf/aiu6/fu3QsEAocPH+7t7f393/9913WrnvbWrVsAcPbsWRTohpCyCwCU0ueee84wjEAgIG+zhJC+vj7HcaanpwcGBrq6uubn5ycmJuSBp06d6uvrm5mZuX//vtyiKMqxY8cikYimaY7jAEB3dzcAzM3Ncc4ppUeOHOnr69N1PZ/Pz87O3rlzx7sTSAzDeOaZZ/L5/De/+U0AaGtre8973pNKpV599VVCyAsvvJDL5W7duiW72szMzDvvvHPq1KlIJJJOp69evSq7gq7ro6OjnZ2dqqomEombN2+WPhMgu5T9+/erqnrjxo2//Mu/BICPfexjvb29XV1duVzu0KFD8/Pzn/3sZwHg4x//+OHDh9va2mKx2Ib2T6VSpW/X2dlZdbd0Ot3e3v7Zz3728ccfP3nyZK3WNnG4vFgWFhZa/EkBoGqTajVjenq69Nienp7p6em7d+++9tprhJCf+ImfiEaj0Wh0fn6+kS9qx/G7QEsIIR0dHZRSy7Isy5IbY7GYpmkPHz6cnZ0dGBjo7++v+oDjwRibn5/v7+/v6uqamZkBgJ6eHgCQrx977LHu7u54PL60tNTX1zc0NKRp2o0bNxpsoZRyXdcPHDgwOTk5PDx84MCBjo6O2dlZ2dTh4eGxsTFCyLvf/e5wOHz79m3btkdHRx9//PFvfetbZXcCZNdx79693/md35GvFUUJBAIAYFmWDDxnZmbkTzwzMxOLxfr7+2/durWh/ctkq85pP/WpTzHGHn/88TqtbeLw3t5eIcTi4qJt2638pEKIqk2q9YWXNfvOnTt37twBAEJIb29vOBzO5XLLy8u1Tus3/C7QpU50JpO5evWqDKgBoL+/HwDm5+dTqVQul+vq6vJC41pMT0/39/f39PTMzMxomhaJRHK53MrKSltbW3d3dz6ff+utt4QQs7Oz58+f379//61bt7y3awRFUW7dupXJZNrb2/v7+9Pp9OTk5OLi4tmzZzs6OgAgEom0tbUtLy9Lm8U0zaGhoWg0Go/Hm/hyEB9CKf2u7/qujo6OGzduxOPxgYEBAPCeu+UL0zSb3l8it1TdjTG2biObOLy7u3t5ebnUQGjNJ133E5Wdtuo+HR0dn/jEJwDg/v37f/d3fyffq5Evasfxu0BLf4oQEggEYrHYu971rjfffDObzSqK0tXV5TiOHJ+Zn58fGBjo6enxPOuqLC8v5/P5WCwmDyeEyPA5HA4DQCqVkjdzGacHAoFgMLhR/0Fa3vJOLo+Vr1VVhdX+19nZWXrjMU0TBXpvEAgEPvzhDx86dGhycvLLX/5y5Q6yg3kPTI3vf+zYsaeeekpu/Ju/+Zv6p61kk4erqhqNRqU/2+JPWv/SqDxt1cNt2x4fH49Go4cOHXrf+973hS98YVeoM/hfoEtj2KGhoSNHjgwNDV27dq23t1dRFEVRXnjhBW/n/v7++gINALOzs4ODg3K0EFb9jeagtDyLXAhR2i8r+738LMvLy7dv3/Y2rjueg+wKgsHgj/zIj3R1db322mtf//rX5e8ub9jyARwADMOA1Tv3hvaPRCL79++XGwOBQJ3TViUcDm/m8O7ubkqpN5beyk+60S+87JPKF/l8/otf/CIAfOQjHxkZGTl+/PjY2FidM/sHvwt0JZqmwaq/sbi46LlOMscjGAzWytSRzMzMDA4Odnd3R6PRRCIhd5a2V3t7OyFECGEYhmEYjDHZhzzkXVfTNEop57y9vX2jjZcn1HU9kUgAQCgU0jRtt9zMkTrIZIOurq5vfOMbr776qrddRgB9fX2EEACQOWFzc3Mb3f/27duvvfaat5t0zCp3q9W81157bTOHeykcrf+ktah12rJPev78+fe85z1vvPHGiy++CKsRknyc3RX4vaFHjx6VL3RdlwnkMzMzhmFEIhHG2NWrVz11E0IcOHCgr6/v7t27dU6YyWSSyaTsFl74nE6nFxYWuru7T58+vby83N/fTwi5d+9e2UOf67qZTCYUCp04cSKRSHg36sZJJBKpVKqtre3kyZPpdPrQoUOKoly+fNl13Y2eCvEVjz32mMy07e/v/77v+z658erVq++8887t27eHh4d/+Id/mBDS2dl58+bNVCp1+vTpDe1f9naJRKLqbpqmnTlzBlYl9dixY11dXbOzs152U3OHe/lOrf+ktZoUDAZrnbb08Fu3bp05c+bpp5+Wz9wHDhxwHOfevXsNflE7jt8F2hNB13WTyeT9+/fn5uYGBgYIIXNzc6Wx58zMzIEDB/r7++sLtNyzvb29LGS4evXqkSNHZI5HPp+/cePG1NRU5bHXrl07fvx4T09PMBgcHx9/+umn5f2/cd58882RkZFoNNrd3Z1KpW7dulU59IzsOuTjFKXUCykAQHahL3/5yx/4wAcOHTokhBgbG/va177WxP6VVN1N1/X3vve93j6jo6Ojo6Nvv/12pe5s6PBYLJbP570HzVZ+0lpNko2petpS5ufnP/e5z124cGH//v2u6z548ODll19eWVkJhUINflE7C8ElrxCkCeRU79u3b//5n//5TrcF2WI+8YlPtLW14VRvBNndtLW1vetd71paWiqtH4DsXkZHR4PBoByx9AMo0AjSPL29vR/84AfHxsZQoPcGzzzzjFcsaafbAoAWB4IgiG/BetAIgiA+BQUaQRDEp6BAIwiC+BQcJEQQBNks/f39x48f9/5JKb148WL92m1lxGKxkZERwzCSyeT169cLNXy2vqUIgiCPGDMzM97M5Gg0OjQ0tK469/T0eBWSVVU9derUW2+9lUwmDx8+PDo6evXqVcMwfCrQx44d88mKBgiCPJoIIW7cuLGhKBgACCGjo6NeMaaurq7h4WFFUXK53NWrV0vPNjIy4gl0LBZLJpOyRM/k5OSzzz5LKTVN06cC3dXVJctsIwiC7AiDg4O9vb1lFdMAIJVK1VHtvr6+TCYjF94zDOPkyZOvv/56Op0eGBg4ceKEXCCtEtM0vTdyXdd1Xblin08F2nVdWegZQRBkRzhy5EgkEqksfZfL5eoI9ODgYGn4nEwmpVhPTU0NDw8TQvr7+0dHRwFAUZQLFy4AwMTEhCyQ6Z2EMaYoiuu6PhVoQshGnywQBEG2ECHE/Px8/YX0ypCVobyafKqqRiKR8+fPy38yxnRdn56elgsnnjt37tKlS/JPQ0NDpXcCVVVd1w2Hwz4VaARBkF1Hd3f34uKi90/btpeWlmrZGqVkMploNCpfG4ZBKc3n8wcPHsQ8aARBkK0hHA5LQ0MSj8c7OjrkQnft7e2llVHLiMfj4XC4s7OTEDI0NDQ/Py+EyGQyGEEjCIJsDYFAoHRdXdu2r1+/fvr0aWko37x5s3Rnz98AAMbY2NiYzF5LJBLXrl0DgHg8jgKNIAiyNZQuviVZXFwsNT3qEI/HL1++XLYRLQ4EQRCfggKNIAjiU/asQAtFTNyacPuaXIw1+ZFk5QkX/8XixM0J1llcCDH1odS9v733zuvvTH16yhko5AW6+9ypP51658o79//qvnW8sN5g9tns5Jcm7/zDnYd//JB1szqHV32jxjem/3F68suT97527+GnHjoHMVURQXYxe1agNwWBxV8ot41mfnuG5AiULLNgD9oLv7rQ/7P9R77jSGAsMP9/FPIlZ//jbOgbocNPHo78l8jKx1YAgLfx2U/O9v5y79CZocBYYP6X5+scXvlGjW90e925fz2375/uG3z/oHnRnP8/N5DCibSG6f88DcpONwLZJTxyAp347xP3/vbevRfvTX1myu13AUBoYvaTs/f+/t69F+/N/sasCIiZ351hMTb515NyB0nst2Ox346Vnoo4pO8X+oxbBjAI/23YHrIBwDngOAeczv/SSVzS/oX23l/sBYDs+awxZgTeDBBGOv+oM/N8Ruii6uFV36jxjc4hR51VtSkNAEKXQtYIrhfuO3iICyJ2uhXI7uDREmgWZQu/urD/x/cPvm9Qm9SWfmoJADIvZFgXG3z/4OALg+qCmj+R7/nfe4hDBj40oM4Us1yM8fJ1JLWHmvmSCQA8zBMfTYS/HgYA65il3dPm/8383RfvPvz0Q/uwDQD2oK3fK9R+oilKk9TZ51Q9vOobNb7RuGGwKLNOWkAg/f60ecls5mtCthX6qF12SPM8Wj1FWVKOPHVEe6gBgPmKKS1aZUGxh+3Mcxmhia5f6wq+EdzQORd/cfGdN95xDjnR34wCAG/n+cfz4b8KDz0/ZL5ozv7WLACIoCB54h1C81QERdXDNwlN0e5f637wZw/e+fY7iY8mYr9VHnQjOw951C47pHkesZ5CYPnjyw/+/MGDP3sQ/7m4/PTB14Pd/657+SeW71y+M/fv53hwY6v5dv2HruF3DYe+Fnr4mYdAgKaoflc3XzFBQOenO+0hm0UYyRJhFp9quclpllY9fJNYo1b8f44Pvn/wyNNHuv9d9/QfTT9qv/AugAJaHEiDPFqXb/oD6fQ/Su//2P6DP3Aw+nvFiDX8N+ED/+TA4POD7j438T8kGjybdczKnskCAMmRyJ9ErBGLdTFtSmPtxZwKIEAY0e/o1mjBDnZ7XR7k6pRa9fBNfsDce3OBNwLqQxUAwl8JOwcct6fJPBZkmxBEbP5OjDwiPFoC7Xa76kOVpihv56nvTXGTA8DKj63Efy4OBJSEos6oIIC4RChi3VCa9bC5T845hxwASH1PSllSlEXFGDeUtJL8/iQQWPknK8YNg6aoecm0h+3smaxQxNJPLbV9tY0wUvXwTX5AfULPP5FnEQYA2XNZmqHKAmYM+Az0oJGG2eNTve++eNd7vf8n97d9uS31vanJr06qM2rsN2PTvzu9+IuLnX/YOfdrc3e/cZdwYrxtdPzXDpql5ivm3Zfv7v/4/sCVAACwCLv7zbsAAArcffkuAAxdGDJfMiN/Epn6kynexrUHWv//1A8CAKD/Z/pnfnNm4V8uGLeN3n/eCwA0Q/v+l76FX1lg3SzwRkCmdlQ9vOobgQsNbjQvme2fa3/w+QcAoKSU/p/pJwyjNZ+BAo00DDl8+PBOt6EKZ8+e/fa3v73TrUCQrefBFx7s+/F9SgKfbPzO2bNnb926taF60FsO3soRpKUIQA8aaRQUaARpLWhxIA2DPQVBWgsKNNIw2FMQpLVQQIsDaRAUaARpKYIInKiCNAgKNIK0FpzqjTQM9hQEaS3oQSMNgz0FQVoLBQFocSANgQKNIC1FEIGXHdIg2FMQpLWgxYE0DPYUBGktKNBIw2BPQZCWIkCgB400CAo0grQWjKCRhsGegiCtBQUaaRjsKQjSWnCqN9IwKNAI0lJwqjfSOCjQCNJa0OJAGgZ7CoK0FqzFgTQM9hQEaS3oQSMNs8cXjUUQv4Ee9F4lEAicPHmyvb09l8tdu3YtlUpt6PBYLDYyMmIYRjKZvH79umVZgBE0grQa9KD3KKdOnVpcXPzGN74xOTl56NChdffv6enxXquqeurUqfHx8ZdeeimZTI6OjgKAYRgYQSNIa0GB3osEg8FgMHj//n0hxMzMzMzMjNze1dU1PDysKEoul7t69arjON4hIyMj3pLhsVgsmUwmEgkAmJycfPbZZymlpmmiQCNISxEEV/Xeg4TD4Ww2e+zYsVgslsvlbty4kclkDMM4efLk66+/nk6nBwYGTpw4ceXKlaqHm6aZzWbla9d1XdcNBAKpVMqnAi2ECAQCO90KBNl6CCV6QMfu7X8opSMjI0NDQ6UbhRDj4+OV/rKqqu3t7Xfu3BkfHx8YGHjsscdeeeWVrq6uZDKZTqcBYGpqanh4mBDS398vHQxFUS5cuAAAExMTlFLOuXc2xpiiKK7r+lSgCSH5fH6nW4EgW48gwnIsmkebw+9wzicmJjwXoj6u62az2eXlZQC4f//+8PCwpmmqqkYikfPnz8t9GGO6rk9PT09PTwPAuXPnLl26JP80NDSkqkU1VlXVdd1wOOxTgUaQPQum2e1F8vm8pmmlW4QQtm0vLS3VsjVKyWQy0WhUvjYMg1Kaz+cPHjyIt3EEaSm4osqeJJVKua67b98+ADhw4ID8Zzwe7+joME0TANrb248ePVrr8Hg8Hg6HOzs7CSFDQ0Pz8/NCiEwmgxE0grQWCpgHvSe5cuXK6dOnR0dH0+n0tWvXAMC27evXr58+fVoayjdv3izd3/M3AIAxNjY2duzYMV3XE4mEPDwej6NAI0hrwanee5RcLvfqq6+WbVxcXFxcXGzk8Hg8fvny5bKN2FMQpIXICw49aKQxUKARpHUUzA287JDGwJ6CIC2EAgB60EijoEAjSAuR5oa/Lzu3z808m9npViAAfu8pCLLHoCX/9SvOPif3dG6nW4EA+L2nIMjeomBu+HyQkFRpoX3Yzp7L7kRrHmlQoBGkhewKD7raXEdnwMmfwuoLrQYFGkFayG6wOKoXRFUA9B1oyyOOz3sKguwtdkUedDWLQ1AhVH8H/nsRFGgEaR27Ig9aQLVFuSigQLcef/cUBNljEIDd6UELKoTm72bvRVCgEaSF7BaLo6oHrVXZF9lWUKARpIXs5kFCtDhaj897CoLsKXaFB119kJCgxbED+LynIMjeYjfkQQtSbZAQI+idAAUaQVrIbvGgMc3OH6BAI0jrECBA+P6yIwBKxUaKE1V2AJ/3FATZW1AgnPj9sqvaPLQ4dgKf9xQE2VtQANfvHjSQKi3EPOgdAQUaQVqIjKD97UFXX3ccZxLuBCjQCNI6BBHg+v6yqzFIiBNVWo/PewqC7C0oELYbPOiqE1XQ4mg5Pu8pCLK3IABMZnL4GFKthThIuBOgQCNIC9kNWRxVPWhBMA96B/B3T0GQvcXu9aDR4tgRfN5TEGRvsSs86GrV7HCQcEfweU9BkL0F3Q0eNK2WqU0xgt4BUKARpHUIIvzvQde0ONCDbjk+7ykIsrcg4H8PGgcJ/YO/ewqC7DF2hQcNuKKKX/B/T0GQPcSu8KCV6hYH8B1oyyOOutMNQJBHCEHELoigq01UEVSAC0DA5zeXnYJS+vzzz3NeuIktLCxcvXp1Q2eIxWIjIyOGYSSTyevXr1uWBSjQCNJS6C7woKsvGkuB2EQogrj+LvW0Q2ia5jjOxYsXGz+kp6dnfn5evlZV9dSpU2+99VYymTx8+PDo6OjVq1cNw0CBRpAWQnbtTEIqqE2FhgJdHVVVXdet3N7V1TU8PKwoSi6Xu3r1quM43p9GRkY8gY7FYslkMpFIAMDk5OSzzz5LKTVNEwUaQVrIrvCga6TZEYuABpDbgRb5H1VVKaVPPvlkOBxOpVI3btzIZrOGYZw8efL1119Pp9MDAwMnTpy4cuVK1cNN08xms/K167qu6wYCgVQq5VOBFkLoOi6wg+w1HN2hnCqq4ufurWgKUUhZC6lKqU3VoKrmfSoaWw4hpK+vr729vWz7zMxMJpMp2+i67uLi4v3793O53OHDh0+fPv3KK690dXUlk8l0Og0AU1NTw8PDhJD+/v7R0VEAUBTlwoULADAxMUEp9fxrAGCMKYriuq5Pv2tCCGNsp1uBIFsMEwxc4MD93L0FCAGirIWccGIRpjDCHhWLQwiRSCSWlpbKtufz+cqdM5nM+Pi4fP3OO+8MDAwYhqGqaiQSOX/+vNzOGNN1fXp6enp6GgDOnTt36dIl+aehoSFVLaqxNEzC4bBPBRoA/NyDEaQ5OHBgIEi5/PkKJlhlCwUVkAOXuI+OQANALpdLpVKN7CnlWEbWhBAA4Jzbtr20tFTL1iglk8lEo1HvVJTSfD5/8OBBf49WIMgeQ2Zx+FziaqyoQmyCc1VqEQ6H3/3udweDQULI0NBQMpl0HCcej3d0dJimCQDt7e1Hjx6tdXg8Hg+Hw52dnfLw+fl5IUQmk/FvBI0gew8BgnDi/0Vjq6bZySyOHWjPbiAej09NTT311FOU0mQyOTY2BgC2bV+/fv306dPSUL5582bpIZ6/AQCMsbGxsWPHjum6nkgkrl27Js+JAo0gLWRX5EFXrWanAMkTLMdRh3v37t27d69s4+Li4uLiYiOHx+Pxy5cvl230eU9BkL3FblhRpabFYRGMoFuMz3sKguwtdoMHXXWiClAgFkbQrQYFGkFawcx/mhEBUfCgqe9lroZAg3+zt/cmKNAI0gp4OxeqAAWIS3weQYNSrViSIqhNMYJuMSjQCNISFBCKAALAfH/Z1SqWhBZHy/F5T0GQPYJQBCirg4Q+j6Br50GjQLcYFGgEaQkKgAKCCHCrJbH5ieqDhAqQPHrQrQYFGkFagVCEUMSuT7PDCLq1+LynIMheQQFBxa5Is6s+UUUW7Mc86NaCAo0grUAoAtRds+RVlVuIAOJiBN1qcKo3grSEkiwO3+ZBu71u/vE8EAClyl+JgxF0q/H5rRxB9giCCrlatp+zONw+N//ufPUIGoA4WM2u1aBAI0hLUFc1mvnYg6YABAQRVRflIjnCg7xyO7J9oEAjSCuQ6iw9aN+m2QkqBBHVJ6oA0BTlbSjQLQUFGkFaggoyzc7X5Ubp6v+rxfhKSuHtKNAtxbc9BUH2FAV/w+d50J46V42gk5SF/btS157Etz0FQfYWakktDr960NLiKLgcFdAUxQi6xaBAI0gr2BUetBdBV20hptm1HhRoBGkJKkiLY3d40L5t4SMG/g4I0goELanF4WOLo+BB+7WFjxoo0AjSEtRiNTv/Xna0UMrOvybMI4ZvewqC7CkKETQB/3vQAqoPEgIAyRNh+LXxexEUaARpCZ4H7eMVVQqVoGuk2QGAksZU6Jbi156CIHuLXeFBF0yYGhNVQKZCt2EqdOtAgUaQ7UdK3m7woGtG0AQAZ3u3HN/2FATZOwhFwGqOhJ896EL4XHuQEOeqtBgUaATZfmR5ZRX8vqo3BUFF9UFCASDLcWAE3UJ821MQZO9QFkH72YMu+Bs1Qnz0oFsMCjSCbD8KAKzW4nCrr1fiB4ojhLUEOkO5iRF060CBRpBtp7DGlazFwUnVcvi+QCkMEhJRPcgnLgG9xW16pEGBRpDtRwXgq/WgfVzNrlAmqXYEDTbgurGtBAUaQbYdQQVxSKEedI3g1A9Il1wQATVsDFzYu8Xgqt4Isv2oQGxSyIP2s4XrlbIrE+HVmBoFel06OzuffPLJy5cvZzKZDR0Yi8VGRkYMw0gmk9evX7csCzCCRpAWIKggNilYHH4WaKVgcZSF+YIKwglIDxoX9q4NpXR0dNS27UZ27unp8V6rqnrq1Knx8fGXXnopmUyOjo4CgGEYKNAIsv2sRtD17F0fUFwxtqyRcjFyALABa/bXYXBwcHFx0XEcb0tXV9eZM2fOnTv3xBNPaNqam9vIyIj3OhaLJZPJRCIhhJicnOzu7qaUmqbpX4uDEP9adQiyMRQgNgG14EFLdrpNVSAK8dLs1rRQBcIJIYQyKlThz8ZvB7quB4PBso2WZXFe5TnINM2enp5vf/vbXmhsGMbJkydff/31dDo9MDBw4sSJK1euVH0j0zSz2ax87bqu67qBQCCVSvlUoIUQuo7pPMgegQc4dSjVqFCFruqEEH92b6pRqlKqUCLWtJAbnALVdR0IUIP6s/FbDqW0u7u7ra2tbPuDBw/S6XTl/sePH79161apdnd1dSWTSbnz1NTU8PAwIaS/v186GIqiXLhwAQAmJiYopaUHMsYURXFd16cCTQiRHjmC7AFsZoMFrnC54Hbe5pz7s3u73GWCEUEEF6Ut5DrnDrcsy824LnX92fgth3P+8OHD+fn5Rnbu7++3LGtpaal0o6qqkUjk/Pnz8p+MMV3Xp6enp6enAeDcuXOXLl2SfxoaGlJVtfRA13XD4bBPBRpB9hSeB+3zQUJafaIKDhKuS09PTyQSefbZZwFA07Snnnrq2rVrtm0vLS3VsjVKyWQy0WhUvjYMg1Kaz+cPHjyIAo0g205pFoef86ALt5DKQULvvuLgRJXqlKrw2bNn33777Uwmo+v6yMiI9Jfb29v7+/tv3rxZ9fB4PH78+PHOzs6VlZWhoaH5+XkhRCaTQYFGkO3Hy4MG/07zhtVaHAIqkrUV8CJoFHMgV5oAACAASURBVOjGsW37+vXrp0+floZymTp7/gYAMMbGxsaOHTum63oikbh27RoAxONxFGgE2XZ2TR706qKxhWVfVqVYUCHT7IhDMM1uXS5fvuy9XlxcXFxcbOSoeDxeeqAE86ARZPvZbR408LXasNps9KBbDAo0gmw7u8WDLpYbddcsquINEgJbrcyHtAQUaATZflSQxZL8X4tjjcXh4c0kBB+X4tuLoEAjyLZTiKBp3UqefkCBwiBh2bpcq4OEAP5u/54DBRpBth+1ONXbzxG0t2hsWQTt98B/74ICjSDbjhdBCyL87EEXBwnZ2oW9Sy0OpIWgQCPI9qPsjgi64JJXRtDeICHSWlCgEWTbEYogDpHrlfhZoItZHDXS7JAWgwKNINvP2nKjO92a2tDVQUK39iChj5u/90CBRpBtRyirHrS/p3rXSrPzZhIiLQYFGkG2H2V3zCQsmDD1Bwn9fIPZc6BAI8i2U4igd0Mtjqppdn53ZvYuKNAIsv2URNC+Vjq6uizh2okqaHHsFCjQCLLtCFrI4hDE7x60HCQknNTK4iCCoGy0DPymEWT7UYEwAgBAAZh/EyEEFcALaXald5I1edAuCMXPN5k9BQo0gmw7Qlm1CGQtDt/qm+fA8PI0O8/iIC6WhG4dKNAIsv3Q1Txif3vQxZobFQLtRdBYs7+VoEAjyPbCg1woAlwAqYB+FjdltTA/rM2DVgvtBwDiYM3+1oECjSDby9x/nGNRVohAVSCufyPoUotjTcF+RRSbjevGthAUaATZXoQuWIwVImjF1/lqgqw2T6wZyRRaUaBx3dhWggKNINuLUATrZIUsDp+zanGAWKsNKoBTeIkC3UpwVW8E2WZUYB3Mz4FzkdXBTCLKPejSCBo96JaBETSCbC9CESzCCpOna4ees5+cbWGjqlOaxbHGg1ZF8QnABsziaBko0AiyvUiLAxhwk9NszSvOGXRq/al1eDMGebnFgR70joACjSDbjAoiIAgjwhQ0VfOKEwEfqJ6ymsVRNkioijUeNEbQrQIFGkG2l8LEaBdAgJJQau3GjZ0vc9dgFgcOXbUMFGgE2WYUAADCCWGEpikAqHHV7XXL9hKa2PnLcdXiKK+IVJq+jR50C9nxHoEgexxBBQAAA2BAkxQAAv8QyH1Hrnw/zQdFiGpNVCmdSYgWRwtBgUaQ7YVmKAAQRjyBDv5DMPdUuUALVUBN/6NFFOo+kyoeNHFKBgl3/EbyyIACjSDbC7EJyRNwgTCipBQAMCYMe9Qu202oYueFj0ChEvTaLI7yPGh9Z1r3CIICjSDbjpJUCh60zOIQQFco61g7d0X1R40LBkCBQLkH7VkcYPujnY8GOByLINsOTVBwARjQREH2AmMB6zHL/Kbp7eMHiwMAQC48XlawX8VaHOvT29t75MgRXddTqdT169dzuYphhrrEYrGRkRHDMJLJ5PXr1y3LAoygEaQFKCmFcAIMpMUBAIGrgfxj+dJ9fGFxwKq5UelBo0DXxTTNY8eOvf322xcvXkwmk8eOHVv3kJ6eHu+1qqqnTp0aHx9/6aWXksnk6OgoABiGgQKNINuOcc0gVonFAWBcNazHrOIecjltH9S4IJwUSibVsDiwYH9VhBBjY2PpdFoIMT8/HwqF5Paurq4zZ86cO3fuiSee0LQ1P/DIyIj3OhaLJZPJRCIhhJicnOzu7qaUmqaJAo0g2073v+kmFgl9PeRZHMqywjqLHrSMSX0SQQsiyvKg10TQDhG6D9rpM3K5XDweBwBVVQ8cOLCwsAAAhmGcPHlybGzs0qVL8Xj8xIkTtQ43TTObzcrXruu6rhsIBFKplE89aCFEIBDY6VYgyBZAKZWdue/zfaAVw2Q1r+odOrUoAPAgBwDd1I2AsXMtBUqpQhWuclVR9YDuXYPUoAEloAU0AHC5y8LsUbg8KaUjIyNDQ0OlG4UQ4+PjqVSq6iEjIyMDAwMrKytXrlwBgK6urmQymU6nAWBqamp4eJgQ0t/fLx0MRVEuXLgAABMTE5RSzotTSRljiqK4rutTgSaE5PP59fdDEN/DOa/amckCyYQyWkIDAK5zALBcS+R3MjjlnBOXcMFd27Vsi+YLUTSjzM7YLM8AwEk6juI8Cpcn53xiYmJ+fr7xQyYmJu7cuXPgwIEnn3zylVdeUVU1EomcP39e/pUxpuv69PT09PQ0AJw7d+7SpUvyT0NDQ6paVGNVVV3XDYfDPhVoBNnzKHGFxZg2rYHPLI6qg4TFYkkW8UVdJ5/R1tamqury8jJj7P79+8PDw4Zh2La9tLQko+n6ZDKZaDQqXxuGQSnN5/MHDx5EDxpBdgZlSWGxgg1dkGY/xEt8tSp0DQ+aWlQYKNDl6Lp+6tSpYDAIAH19fY7jWJYVj8c7OjpM0wSA9vb2o0eP1jo8Ho+Hw+HOzk5CyNDQ0Pz8vBAik8n4oUcgyJ5FKKLWYlcygi78Qyvs3Kp21YavTlSplWaXJ34ovOc34vH4/fv3n3zySVVVc7nc1atXAcC27evXr58+fVoayjdv3iw9xPM3AIAxNjY2duzYMV3XE4nEtWvX5DlRoBFkO1Gh1mJXSlyxjxYmfBcyi31wORJRSLMrLZa0Js0uT0Rw628kyz++HP5qWBo+u5TJycnJycmyjYuLi4uLi40cHo/HL1++XLYRLQ4E2WIWfmnBS6ETtKEIWsbOfomgoaIWR8lzwJZbHKnvTbk9rnXS4hEMzMtBgUaQLcbZ73BzVWu0kkrKa1GXVLfT9XYD8EUEDRyAlw8Slr7eWotD6GLhXyw4hx0e4b64P/kMFGgE2WJEUHhz7QoFPKuxJoL2TRYHEQRERcH+knYReysnqqS+O6WkFRZhrI354v7kM1CgEWSL4UFenLStQi2LozRfTSgChC8EuhA+i7UedBnVP1AzWCes0N+FWAfDCLoqKNAIssWIULHskVCKa5FU23X1hQbE8cdaf7wQRG+hCtd7tyDXZjQWYawDI+gqoEAjyBbDA7xocSiC8PWlTqiC5H2xUklBnVldbdi6ZoqgUGdU3sl5O8cieZWgQCPIFsNNXgwGVfDm4FVCnELpTqEKalFfhJB8NZGjNRG0ydVp1dnv+KXaqs9AgUaQLUaYwgsG60xUAQCaoyJUyIAmli8iaOlBlw8SbhsygnYGHQB/JLH4DBRoBNlSyBqLA5SaE1UAgGSITMiTFocvFEoOEvK6g4Rbh6BCSSpOnwPMH2OkPgMFGkG2EmEIoMVV+0onSVdCc5QHVgXaHxE0EaShQcKtMkAEgADiEmVF8cX9yWfgV4IgW0lhikoDaXZQaXHQnRdoL4KuI8HEIkIXxNoyl1pZUTCCrgoKNIJsJbL0fqkHXSfNjmSIt7+/BgnF2qfrtVJMbSoCWyzQ3ngpUoofegSC7B1EUBBGSj3oOml2NEcLHrTirzQ7wskaD3ptu0iOcIPTLTFICQAAXabU9sf9yWfgV4IgWwk3OU0VtUaodSPoLBFmIc2OWL4ZJFwvzY5YZGvqJZGC9CsrCs1RP9yf/IYfegSC7B1EUNAELa3FUS+CzlJpcYAGPomggQMBUjpRpTJTkFp0SyqOCkPIJRnbvtTmHHBwsfBKMIsDQbYSGUEXpbakknIlNEf960F7mlxRkI/kiVxEcbNvFeQkSwDA/JapLGMWRxVQoBFkK+FBriSVNVO9a2dxkCyRWRy+SLOjxRw7AsWJKqULEkpIfmuWJeRBTnOFtyHuTn98X4ICjSBbiTAFTdBiQkJjETSoO29xFJYi9CaqrI4MVqZyb9W6scIUMoIGAMII7OLVVLYLFGgE2Up4kCspxdOadaZ6Z6k3SEgtCkpr2lirNav+RlmaXUUqN7XolkfQ4GIedBVQoBFkKxGmoCm6Js2ursVRTLOzdjoRmBZqjRIghBO33819Rw6qWhy5rVlURQQFya1G0GhxVAMFGkG2Eh7kNEkbrActszjm/sOczOLY4VEyCkQQr2C/NWqlP5CG7bQ4yiJoHCSsBAUaQbaSgkBrRQ96nanepsg8n+Em33kPmoqixcGBhziLMpACXdviYFHGumuXg6r/jmZJBM0wgq4CCjTSPLO/PrvTTfAdwhRlHnT9iSpun8s6GIuynZ9KRwFYcckrHi4INGjlJa1JtjBDHQAyz2VS35lq7g3XZHHgIGE1UKCRJrFOWekPpXe6Fb6DG5ym6Jp60LUnqhCX2IdsAGBRtuMRdDHNjgNwEGEh17QVSrnFQTOUhwoCLQzBO5r0o3GQcF1QoJEmSX4kSbNbU49hT6EDzZWk2Sn10uwAgAhC05TFWIvzoHmQ587kSrd4FgcBQoCwECtaHGUCnS2UEAEAoQvW0azFESxJs8NBwmrg5YU0iXXUCrwV2JqaDHsIoQqSIw2m2QEAyRLjmiEj6FZaHO4+N/nh5JpN0uIQq3nQYcHaGZAqMwlphorw6iPC1kXQOEhYCQo00iwciLU16VZ7CaEIkiOlE1XqCzTN0cC1AOtk1KJCEQ8//XADb0Zh7t/PNdlOVZTfXL0sDjlIGOZKXCms5br2IYBmSiJoo9kImkD+XXl1pqDKOEhYFRRopHm2rKrZ7scTLNCA5mmD9aABgKaocd3wqtnZA3bjX6nT51jHreYaLDRRVk9DziQsLKciQChCm9LcqFvpQZMMKXrQepMRdPIHksE3g9qDwrMGYZt9gNiT+o4CjTQPCrTHwi8tOIccWLU4Go+g+3+mX1lUAApTvXmIu7G6il6CM+g0P7dFh/LfTlnN4pAyDaA90FiU8U5OV9YIhbdSF2wigraOWqGvhYr/dmGT83Sm/2h6M4f7ExRopHmoRVGgJTzMhS4AQCiCWrS0WFL9CFqdV5WkAlBY1ZuHOOtqVO+cQafpqFNo5RaHIEJaHASIrMOhTWksypx9jja9NgOuZCI41zlv31gEnX026+xzeBun6aL+bN7icHvcvVewFAUaaRaCEXQRHuLFANCBNYOEtdPsJDRBAYBalIc5KCCT2xrBHrSbjjrXeNAEeJh7U729chzaQ41FmbvPVR/WvA8IQ8AGHY7s2aw9bPPwWoF2N2txcJNvyfxGX4HjpkjzEGtr6gLvAURIeBcTcUmD1ewkhQg6T3iEA4cNRdA01WSMVRpBW8et5PcnI5+OFCslCSB5oswrzhOOs8/RZmrOIRG6UJJKaVWNdeEBzjt4mUBvPg9ahIUICGhy0swW0N3dPTw8bBhGKpUaHx/PZrMbOjwWi42MjBiGkUwmr1+/blkWYASNNI8AYmMEXYCHeEFfyJqU3soRtkpoisqUGNbO1Fm1cQ+ah9Zq3EYQupCeDEh/JiAEEYSTwpLeAmiGGjcM67jF23id24AwhDKnsPYN2NAiKHg7F3RNAiLhm46gQ3wHwwXDME6ePDk+Pn7x4sWVlZXjx4+ve0hPT4/3WlXVU6dOjY+Pv/TSS8lkcnR0VJ4TBRppHpJHgS7ATV4wQMXa5UjkyNs6B4OSUohDeDvX7msNWhxCF8Rufl1toQovRbIgbbLcKAO5aCzNUWVJqdkYXojuhCHUBdUZdFhnoxrNA5y1sfI1D51NRdDCEEIVW7IQV9OMj4+vrKwIIebn503TlBu7urrOnDlz7ty5J554QtPWPIiMjIx4r2OxWDKZTCQSQojJycnu7m5KqWmaKNBI82xVVbM9AA/xqgHguhNVJMqSAgJEUOj39QYtDnvY1m/rG21nkZIsDh7iwhCgFMuNggCapQCgPlSrBunFxbp0oS6oC7+0kHl/psF3FqaoHFfc5CChTPvbwd5oWdbcXCEnPRqNrqyswGpYPTY2dunSpXg8fuLEiVqHm6bpWSKu67quGwgEUqmUTz1oIYSq+rRtiIQQoroqCRL8pUAuRWhQVVUJId5/AYBoRAV13a9In9RVVQUXjCkj896Mqqput6su1DsqczITnAjax+3mvn+iE2EUrjLSTsAARVMUUBSiEEEUotAsVVXVvGraA1XeQskqtJ2qlgoaaCuaNWpBCBpsiQgK0SG8r6jYJNp8XxIdAgCIuZW9kRASi8XKwl4AiMfj+Xy+1lGxWOzAgQOvvfYaAHR1dSWTyXQ6DQBTU1PDw8OEkP7+fulgKIpy4cIFAJiYmKCUcl68aTHGFEVxXdenlxYhzT+7IS1ABoaPbBZH/nhev6/TTCG0FIoQAVE9oWK9PGjJwZ8+CACEESWhCFU4vc7dP787+swo1P5286P5ji91JCDR3EcoHSSUEfSaJa9WI+i2i232frvycJqlPMRhoZDs0fa1Nrk0TENvHRQsxoizldc4M5k88xaeUwjBGHPd8iEBIWq+S19f39DQ0BtvvCGH+FRVjUQi58+fLzSSMV3Xp6enp6enAeDcuXOXLl2SfxoaGiq9taiq6rpuOBz2qUADQOX3gvgHucqGyAk35D6Cv9TyR5bDfxUOvhGU/5TTCF3iuq4rhPD+CwCccmZVucir44JICrDh4a8/pCma78yr8zWv0PyRfPRGVHDhMreOjteCKUxohWOdoMN1zgTjLucuF0xwl5MMcV2X3CXGXcOtyEQhaeIEHOpSASL4lSAsQPbZbIMfU7jC7rO1B1rZ/t6X1gSO4ZAccbUt7o0rKyvz8/MN7tzd3T04OOipMwDYtr20tHTlypV1j81kMtFoVL42DINSms/nDx48iB400gxSoB/ZQUJuct5WfCAtzHuu0NL8E3mu83XT7DwIIzRD9/2zfZ3/T2fbX7U5Q06dnYUhiEUIq75QltDFyo+t1DtcE/Iksv1CF0ITxCVlEXTNpmYKi3XJe0Pp3MJ1IS5hnazp/JOqiLBQl9QdrAyjadqxY8euXLniqTMAxOPxjo4OOWDY3t5+9OjRWofH4/FwONzZ2UkIGRoamp+fF0JkMhn/RtCIn5ElKB9Zi6NcoE1eVSjjPx23R+11J6oUcYGmKbFI6O9DPMTtQTv4arByr+WfXO78w06pjDLnutIusAftxA8mIp+O1HoroQmap8IQJE9EWAhDiIAg+dWZhBxIpm6Np5KS0ABAcqRxiwMAgELTGdxV4SGuxJUdHCTs7u42DOPs2bPelpdfftm27evXr58+fVoayjdv3iw9xPM3AIAxNjY2duzYMV3XE4nEtWvXACAej6NAI02hwSMt0MHyCJomaaVA8yh3+yrtgZoQTjxfW7ur1VoPIfW9qcifRAo5dnLWYq58H2fIcQacQuZcVTSgacp1ToHKJG4e4DRPvZmEXkuqUiwJTQBKkjoqsQ/bSlKR9UaKhyfp1kbQOy7QnrNcxuLi4uLiYiNniMfjly9fLtuIFgfSDNLioPYjWotDhNYkivEQpwlauWITsYiypDQySFjALcqiPqnbg1VG50AB1sm8SsprZi2WYA/ZNEmd/pomidAEzVDP4qA5KgKC5AoWR+BaIPKZmtE3lEbQqxZHrQg6/Z3p/ONrcx4EKCmlvkAv/PKC27MBN1kK9N4rfosCjTSDZ3HsvUuiEbjJebj4wUVIKElFKAIIrBmv4xD7jVjjoaL0oOVrmqSlQXrxlEHOg9xbi6SWQDuHndA3QtLFZhG2+IvlQZzQBE2vCnSAkxwRQUHztFDNLk/U2XqP18qKUjozhWRJLQ+am9ybsgir82vWjaCzz2R5ZANda8cj6G0CBRpphqIHre+1S6IRuMlZW1GeZAQtVFE6LUUGpB2f72h8vh9hZI1sVftqucl5kHOzGEFXnSDj7HPMb5kyBrdH7dy7y02QUoGWNgUPcpIjIAq1RuujzCmslxVq/AMQp2ZPEKYoLTInY3+aoEpaqbo/ALAOZg/YG7r38xBXllCgEUQiPej8ozqTUEDZIKGSUEBbszoU62TKSk0NqgrJE2KViCOvcoEKU4ACPMILxYkcqF5jk4D+ji4jaPuw7fZWJPOWCjQACBABQS1aKMexHuq86va4QhdQzYYppTyCDgqSJ/UtDuu0RSyyoaRmbvKdzeLYJlCgkWYopNk9qoOENE3LBwkTVChCfi0AQARhMaYsbUyg1xSwB1DSSqXLIcfi3Khbx4PmYU5TVJvU5BoC9mFbhARQcHvc+X9byOoV6lqBXjU6Cml266GsKCzChCGovY6G8OAageYBTnM0cCWg3q+d4n06H3wr2HjeHuxdiwOzOJBmkBbHbh8kZJ0MBGw0zgUCNLMmaYGbXEkqQhXFBbAdcHtcZXljZ479dqz0nzRBWTuT1aKL7xXkAMBirCjQFSUseDunSerlJjuHncCVAIsyFmVe2TmhCSWjeOXfiE14Oyd5IlTR0LQXAUBA6GJNyF91x5BYE0GbguRI21+21TnEGXCM68aGImgRFkpc2dliSdsBRtBIMwh1L0z1Tn8wnf7vqqey1UGmo5UWY+MhTlcoaIWvBQCIS9zuDQt0GTRJK4sKiZAAABZj0uIgLqnMHmFhVurwcpNrdzS3x+UdvPh76SAj6MJwgk1YOyum2TWCAG7wdR32KhF0fr2gO8yVhQ2Ew9nzWXvQrszi2OQaWn4ABRppCg3AAeAgyC6+Brz5Jpn3ZXLfUZFLXANhirJJHLydK8uKUEXha5ECvfEIugwlWaXOMg9yYhMWLUTQ4FSRIa+CM81TFmUkR9Q51e11WTvzBNrzoHmI0wwlFin42nKiSiPNW1LcPnfdCLqKB51d75AwV+Nq4xbH0ieWor8XpRlapulTn5kCgPjPxxs8jw9BgUaaofgsv5urWglTyGw5+4idf1fN+mRleBkUHu5+V7uvSQ9afi0kT5wBZ6MedBk0QSsXzBamUOIKi7Fiml3FIKG33J86p2bPZ/XbuhRo3s5rCrRNWDuTMwkbjKDVBdU56HgCTZwak87NNRYHD64fQQsqSHoj488C2r7UVjlk7Rx2WIytfHzF7d+t5WJQoJFmKC4U4qcAmnUy65S1/n6reBE0D3I5ntbgUTRLCSfe1SNUQa1Vi8MlAND+hfb0h9KbjaBT1SNoKdBS5qoPEq5G0OqsmnkmY0wY6nwhgvZMZ2+QkHdwmqTUpryDF/KgG/tN1XnVOeh4Fket2d5VIugai2MRUfxKqbWB4h6FwxkRtKQBCrB2ln88z3VemWW4W0CBRpqiJJ/MP1jHrdQHN7AmnSfQIiScg40KtAgJmqVeIgfv4HSFFqwGtfC1mJfM9j9rr1OLrhFooooHzU2uxlU36haMgpIFaov7lAh09pmsfnM1gi7xoIVamEloH7H1uzqxCOtgJEeIaCjNDgDUOdUZKEbQtWZ7l66tBatZHNXPWLIsoZw401A7SinpkqyDAYXse7PmK2b+iUYfj/wGCjTSDF4+ma8sDmGuv+gR62ZuX+GB1yupwU3uHGg4gg5ykiE0RVmYAYA9ZOv3dLkgSPFrAej55R6a3NT1pSSVOhZHvTS7EoFmEWbcNiotDiBA8oTr3B619Vs6sQnv4NSijVscgX8IZM9lSwW66pdfNodFZnFUPWFpwSmaLzeU6+GdTwAALP6viwDAokx7qGXPZsN/G7aObeC5ylegQCPNUPSg/QQP8FolezziPx1P/6NC5oYICU+ga82ZrvIuJqdZShNUzkW2B239ri6zKbb2a5FpduXvHuTKosIirM5Ubx7mMotDnVO1+xrJFfJtWDsrjY7lRmvE0m/pxCKCFgr2NzhIqD3UlEWl1OKo/PJlxQ+ulaQk1snicAHU1Umq+Zpzx6tQ8qEy78us/NiKs89hncy4YhSeD5wqbdsVoEAjTeFZHMJHQbQIrhNB8yDPfCDjRlcj6FV7lJtcv627+xurNx8SNEe1KU26Is5hR7ujSYtjiwV6bZpd5oWMbKoSV0ABz4OummZXiKCn1LYvFzOOeQdXUkVbXAo0j3AloRCLUEuuAttoBA0AoRdD3kSVqhYHNzldoeURdI0sDpnTzcOcpinJNTVJVYXlf7Yc+eOIdcJiURa4FgAB6n01cDVgnd6VQTQKdPMITaT+8QYcz72Ep0Q0W7POZOvhQV4/7Mqez4a+HmLR4mQN6UiIkDBuGnVs6OwzWXefCwCZCxl7yCYZot3TnAEHAJx9jjatFR7PNWi8uOi6rEmzIzD7a7NCFcIU6pIKAA2l2eVo7D8VJr8oCcXtd0vFkViEdTOZMkhsUkisbtiDBoDIZyPmxcLy1SRbxTUWplBWlDUetMlrLQVAGAEVpEB7g4TVJ7KvOaz4khs8/KVw6FLIOmGxTqbOqNq0ps1pgTcCucd35TghCnTzZJ7LJH6syRXhdjue2Vo26XlnEUFRv2w8b+P6hM5i5b6BUIT6UK1T3zJ7Pps/kQeA5PcnEz+coFmq39ftARsAWBdTFhUZ/W1tBF06D4h1MN7B7aO2tDgAoJ7FsSrQpajTqpw5WdwSV92o2/6X7fK9SJ4AgLKo6LcaXSxcnVG1qUIAXz2CDnIl0ahAy0HCYgQdFAAw+8lZeWusRelsxtjvxCL/NWKMG9Zxi0WZsqz0/0w/MAi8Fci/e1eOE6JAN0/qu1P+CR5bTDGCTvlIoNeNoIUhlLhSWinUQ1lWvMi6EhZmrJsBAOti4ALNUnVKdQ+4ACA0QRxS8KCV7bLm3V5XWVbyj+Vlmh0AVE2zyz2VgxoiqM6oNE3lYKbcoiwq+39if9tftQEAsYg8ofZAa/+L9iZaSLJEznIsRVocUCL4Mgem+hlY0eLwBgnd/a7bVVegS+qBhL4eAgZyeIBFmbKkGOMGACgrSmU+zK4ABbpJhCZYbIvXVdtNrHrQNEWr6t2OsG4ELQxBrTWztL0oVVlaU+C4DN7G3S6Xm5ymaeenOtV5tbwIhrQatjr7kPBCCoTb64a+Hso/lheGUFYUYhFgAGs9aN7B5z45t/pRy0+lzWo0SWvNzqcOrZVc0SDqnOqlx3gIU9A0LZ1uyk1O0jXeyAXQChYHsELKndvvVj7xlMINXjmbUZ/Qs+ezpXnoJLcrS+M+qvqyaXgbl4tlVJaqeRTwp8WxbgRdeTF7FePqR9C8jbNuZh+19Zt65x90avc0kP57By9MHWREDhJC4JE3xwAAIABJREFUo9l6DWGMGzJFzO11zVdN+4gNBGiWFlOJSzxot8d19ju1Zs2pMypNUGJXF+jiIGGzaA81Z7/jHFzTgMpZl3WyOEojaLlFqMLtckt/l/l/PV9YamsVuXhu2anavtRmH7ZLZ3Jqs1p9q8SfoEA3iZwgS5cp7/SLPLWSosXhK4EO8Po9urAStpwTTAE40HQhnVlZqivQJne7XeuYZdwwvI3aPS33ZE4aDrJw/pZnHxpXDDkHnfUxdUY1bhruPpdkiTfWV2pxuN2uOqfmnq4+Gqbd14xbRq0ImlhkkxG09lBz9jnJDyczz2a8jcKsMDRozZmK+l09dyZXKtBun6ssK14EzcM8+ZEk61nzM8l1b8tOFXwtGBgLlBZyUqfVOguA+RYU6CbhIU7TVFmu91y8h/GUSEkrLOSXb0CYouYsNbmDIYhFlLjCooVl/WiK8k5OXELTa5apLoM4hLdz6/gagTZuGNlnssqCAgDAQNCttzgCbwfyp/MA4Pa66pza8bkOcIG4xMuWKxVo1sPCfxNOfShVVQGVuNL16101BdrerEDL25591JZmvYSbfN3SSB4df9qR+u6UM+gUBbrfNa4Z3o0z81yG5qiXJSmpGkEDh4MfOVi6QZ1WMYJ+hOBhTjO0vnG5lyn1oLcogrZGN5upWig5Xxt5MavLqht1ZXBH09TtWU0+W09J7MO2frc44GWMG5nzGTVenM+95RG0NqU5A45QhBRo47rR/WvdAND+/62O45VM9XZ7XPNbpvktM/Z7sRrnW13nt6KNm7c4AAAEWKOWGyuxOIK1czYqIC6J/HEk8YOJUoEOXAt4ipx5PtP2F21llrQIrL9oAABoM5qzzwEFZn99tsH2+AEU6CaRFkd943IPs8aD3opBQt7OF/7VwmZbZQiapnUyZ9dE0CYnWUJT1O11GxQRwgtDcxJ9Qnf3uYUIWp5fFVuYBy0JfyWc/KEkDxXuPaGvhwAg8qeFJbfLLY55NfInkeArwZofwSL2kD37f8+W3Ug2H0EDgLqo0gxlXcXviHUxaQE1SPjFME3QNRH0WDGCdve5gbcDZQLN9SqDhFXa9lB1+93cE7nSG6r/QYFukoLF8ahG0FueZseD3Nm3aYuQ1KwIIZFZHMqi4h5wZS6aOqfaR2wp0MQuL92ZeV/GHrJl8pySUPSJNQnCxCH6bX1bI2gAiHwmknlfppbmlhb5dLtddWEd9SEWcfe5uSdyxFnTTu2hFvpmqNZRDaJOqcFXgyzCcmdy1gkLVmfxlLz9eqXyGPT9yz5tUgMA4ODsc/R7uvxB5XLgsg5J6RFVPegqbZtV3X43/Z3p8FfDG/9kOwYKdJMULI5H1YMGDeTSIVuVZsdN7va4m18Co2pFiOK76JxYJPy34eT3Jt19Ls1SfULPvysvBbry18y8L5N/PC/LKyvzinHNKDuhMWaosyWauA1F/ohN9v3kvthvVXctStPsWGz9cJVYxO1x3T63TKCVRaVsRcQmMCaM4JtBoJB+Xzp7JgsArJeVlvST69LWP0nwlaAcSKAWzZ/Oa3cLH88etLU7mnz6Kd2/ugddAXGI2+fmT+cDVwIb/Vw7CAp0k6DFsbVpdiIkQIHKRNqNQvPrRNDEIjRNo38Qjf9snGapNqk5Q46c7lz5azoHHeegIyfmtX2lzfymWXbCnl/tKZ13J5QtTrNbn9Kp3nT9MhpSoJUVpUygt4S2L7aFvxIGAHvYdg47ACCoKDWF6iVBVzY1T4JvBolbmHpuj9rGbUNdUis96EYEGgAOfuTgwR886KsK5uuCAt0kMhno0bU4FLG1E1W4yQkjmx9nJ9l6VdC8aCv0YohHOMkSwoh2X5MhW+Wv6fa5zoGCQAdfCVbWdy6Ll1tf5K+0RGdD+1vE7XGDrwbB3q4m0Rxl3cw56BTXl1mdLlBvnnfleZK07b+1weo4hz1i6xM6XaKVEXSDw5v1M3z8ye5rsU8QYUEzVIkrpUMijw5rrr2tWJqTm1y7p23ehqZ5WmcyoZyWDQDAof1z7TJZTZ/QpWoYY0bmAyU5vKpQFhW3z+XhKqUtqtPydQy8QcJG/A2QBZJ6mPmSqc5t11iZsqio86rQhNvnSv/HKwm9IYHu+ZWewNUAAGgPNGfAKZRFrZga1uAg4S4FBbpJeIiTNGm8iPDOsvXTHbdaiTZU8LM6FAgn9SPo0vSy6B9E277YBiUCHboYYhGWf7xQVcfd52pTGtDiEn/rsuUzCddnNc3OHrT1yfWLHFGHuj1u4Fqg6ze6tqlFyqKi39ZpilrHLO2hBnL0VQp0aCNZd6zwa8niR7yTKytV7kCNWxy7ERToJuFhrmQUAFBndkECfPwX4nK+w1axRonoFvQjERL6hL6ZCFomQdePoNf4j6tLh3R8riP0YmF8LPqfo4kfTuTek7MHbeego93XiEXcmNu4QO9UBO0MOt54Wr39LcJDnK5s44Wvzqv6LV2/q6e/K60+VKFEoEWofEH0RjDGjcxzGWVuVZ0ZQIlQNzhIuEtBgW4SGUEDgHHTsI76vRY462TNLGxMYeVHV2Z+e6byKaFUicxvmckPJzfZQm5y/a7u9jZ/q5NrKZHcRlbiAAAAZUmhicKFoN/Snf3Owv+2sPRzS86goz3QtIeafdyWC5Ss3wZVeHFfa5ACzU3uDDqyQsg6+1sEAJTEplazrU/H/9vR9sW20NdC2n0t9HIISiPojVgcHvptPftsVtodAKDOrpm03WCa3S4FBbpJvJovu0Og25nbvWHtW/jlBWEKYpMq6/WVWBydf9SZ+Ohm62JzkytLiqwwKQyR/MiGFV+uRlo/D7oROj7b0fXrXTzMk9+dNL9lhl4KpT6UatyDbrHFQVzCOtn9v75vH27I4iAWIS6hmW288IlNiEuCrwVj/1dMzuLZpEATh2j3tMBYQaCNW4Z9rDjEWVpudO+xmybV+IvVlHtj3Jj7V3NAIfp70Z1uU014B2e9Gx7MtI5a3f+qe/mfLjsDjn5vzcVfanGQPFEXVBZhVS3CBimtquN2u0s/tdT+hY1VJRamoHlKcoR11P6kDURaco0obVKTaZShr4UO3D2gzjR0pWxfPeiaOJA/nacW9co21YdYZFv9jepvujoDiJtcLgezUSKfihhvF5LQjZtG/nTey9quWm50RyCEDA8PDwwMXLx40XE2fKOOxWIjIyOGYSSTyevXr1uWBRhBbx5lQRn47oHsuexON6QevJ3XiaCzZ7OVBXR4O5eLUmuThbWdShHKmmd57R3NPrypvC1ucs+d5B3cGXBKa+40dAbpQdePoBuOrbUpzasmrL+jNxj3CW0nPOigiP1GrBF/AwCIRZTkNvob1d90cx40ALT/t3YvSU6/oVujlnPIAQChCf940KdPn2aMCdFoJ+vp6fFeq6p66tSp8fHxl156KZlMjo6OAoBhGCjQW4D/y/YTi9QR6JUfX5GrN5XildbUJjV5Maw945p/6Xd058imnu1LH35ZB1OWlNyTG1tEbuVHV8xLJk3SehH0dkIY4R3NPMJv6k1dAhzavtJ24EcPNLT/TkXQugAAFmGlRfSbQ11QnSHn/hfu50/l7//FfWfA8YkHfefOnTt37pRt7OrqOnPmzLlz55544glNW3MTHRkZ8V7HYrFkMplIJIQQk5OT3d3dlFLTNP2uLD6CQOr7ai4RW1kiwFcUKiDXwO1zy2rsAoB13JLLBWn3yyPo7Nls2aOXfke3hzYbQdMspVnKTc47eOhiqFZd46rkH8sTh5iXTHWh9tKCChC+jVcycYnb58oFA1uHAOOWQRO0wZmB1KbbOkJYFU+gZU2+zZ9QnVWjvxdd+JUFHuK5J3M+iaBTqXJ9MAzj5MmTY2Njly5disfjJ06cqHWsaZrZbOEp3HVd13UDgUAqlfKpBy2ECAR8NGV+6t9O9f5u79LPL3V/pRsAnD5HS2qlLQxOB8kREsj4qM0eQin8r9ZX6va5pJ+U/dV9zI1+K6oHdOAAYSj968N//vDwJw7TQFGktWktMZIIBAKpZ1JtL7c10UjSRoI8qKU1rUejXbTjHzpWPrjivN9p+2ZDZ7OOWG032gKBgEiKhd6Fqp+UB7niKNvXrxSh7Ei/Hf4fh0t/i/poeS18NdziRuqWrkbVQCAgekQoHSKBzerp4Z8/DARu/ujNQ79y6O7v3w2SYOPfQOMI8f+39+bBcWT5fefLO7PuuwooHIW7cBAgAZLNq9kNundmVhv27I4V8ip6xgrPesPr0M5IK1mhnXXEOOS1RhFey9LuejckeyWFNdJI8mgsWdKuFKNRd5PNNtnNbrJBggAIggfuq6pQ95WZlfvHI5PJqkKhqlCoA/h9/np4lfnyV68Sv3z5e7/3fUpPT09HR/6rydLSUjRa1iS2w+GIRqPxeBwhtLa21t/fTxBEW1sbjmBQFPX2228jhB4/fkySZC73KvtIlmWKoiRJalIHTRBEOt0su/AqvBL+Upj/G15sE1NiipCJ3a/uGr9r1FpIPCUSbQnyk2Z8I5GtMgojxaikcintHhMYRVByulzamk6n0zu/tGP9bSuzzEhtUtqVzj3OpVEaIaRklCSdJONk8OeCxj83Us+obOD18XIaiXoxnUmvfGel91Jv+ToPWKIMISQxUjaSRXsoySUzugy3zLm+4dr47Q20gNR9o/PP5RSpTcKx16QtyT5n8S8ik3LRm0fmZSWlHN19lcvkqGdUA+7bii64hUz/xpSu7JzDQi6Q8fE4m2ZlJGeSNUt58v6El9qlzN81Z6PZA0VIqiCVSi0uLmL3Wh00TVsslitXruA/ZVlmWXZjY2NjYwMhdPny5Y8++gh/1NPTQ9O09kRJkgwGQ5M66KZCNsoKo0S/EqW2Kckr0Rt0Zizj/BdO7THMCpM+V+VNnzfhVnNy5hwVpYgUITkkrfZj9L+JJt9KWv69hVvkcIQ6dS5FZAjnd5yhnw45fu3VSjPz98yhnw5Z/x9r+KfCqcmU6T8Vya8gUoTYLebMuWxPNmfICXf3lSRGL4UxZae8/P8t85/xhEzgrBgySuZMOdkkkxGSTJGub7u2/tWW4YcG629bCxtJnUtFvxL1/JwH4S37bucrGeVx1LNJhERo5fwBFW6Bi/zEYRMxC8Haqs7vOA88slFks9lQKDQzM3PgkYlEwmZ7kQbGcRxJkul0urOzsxlHfEfE9ne2Dz6oGDlTjtqjElcShr82iJ2i5JEKZ8zZFTZ1LlXF1u6p86nQT4deXUuXq7m4h2yUySjJrL+a6wt8K5AZzET/bpRdYKP/dZS7z8lOWeEVepvOnMoovJLtyfL3Xr0FG35oyPZmAz8fsP3vtvR4uqg2MbfExb8Qp3fp9FR643c28nb2fM0eq7z+u+sIocRbCfuv2p2/7JQtMg5qU1EqZ87lLDkcJ2Ufs53vdibeThRtJzOQyYy+GI5JnlfBTTJRfPOqI18TLCJw0EWhApRsl/FAodG21JVgMGg2m3U6HULIZDINDQ2VONJgMFitVoIgenp6dnZ2FEVJJI4yX73ZSF1MldhrowQ5Uw7PPvEzvNglSm1SYVYsvUGb/8C8/u/WU5OV5R5I7ZI2nyz+xXj43fCBZ2X8mfLT2nLmHBkh+Xt8+syLMX7qTCrxxQQhEfoP9fEvxbmHnGSTsn1Z9gkr3BGS55OF0+Lub7nTE2nTfzS1/6N2ZrVIzIFdYGNfiul/qA9/LUwkCHWKLzWV2vz1Te2RqbOprC+b0+cSbyX0H+iZVYZ9xmKJMjJCyiYZj6BfHP1yXW/OlEtce81TZwezCqHgJ4FsldUtnOmdF/OECq9o1emOekUDIRLMk7Jy3U4gZIrM+rJHp9DUcBiGuXbt2rVr1wiCePPNN69du8aybDabnZubGx8fv3z58vDw8Pb2a2NENb6BEJJleXZ21u/3X716lef5xcVFhFAw2FK7vxwSySblTLmKNuDByEaZW+CMf2GkAlT8S3EyQRZdtmD4S4NwS9j6tS3vP/BWYJVL0jqRzGimHHnl5JVkzpiz/9q+W89pyZlyVIwSZoTIVyMIIUQghVfCPxk2/8DMLXAKozAbDKIQVgujd+jo34tyS/nK9FSI6v6vuhFCulvFIwncIpcZyzj+pSPybsT1S67k5aT+ul5hlcA/DeRlH6fOpXQf69Kn07JVxmpn3CyXHk0jhKgoJXaKOfOLFOwXlw5TskWOfTmWuJbAGz5hxE7R8CNDxp8R7grarTqobUp2y+gZil+LB74V8PwTj/CxgI5e9sz5HWfzJ1w2CvYRm7im0dM4doii+N577xXWBwKBQCBQTgvBYPDWrVt5lSflfsoJOUVQZGM10QO8ZEP/np5ZZfAImtkqPlCiwlTRHTlLkOegswPZckTrZaucOl/uUP1FSDdC5ow5RCLJLbFLLLPO8Pd4JCP+Lo+fN9nBLPeY4z/nE9MJdqHiV3V2iSUkgp/hdR/pTH9kyoxlEEKpqZTuho4KUNqYQ2Y0Y/q+KfjNoCpRxM/yOH2YjJKyUVbI11fBPGPEXjH+pfhrgQsSIQLxs3zgFwPBnw8Syqvj1RG02CVa/r0l/qU4Qij5ZjL898NHmjAL3rkEpj82hb8aPsYj6CPipNxSOEm5ur0/1DV11B4lO2TRI5ZY+Mus5C/rSL2RWv6L5eDPB4seLzmlV1aRSKGUcqRBZassuaQSqc1F7efmucD/FEiPpdkl1v6rdjyu9HzLwz5jySSZOpviFjgqTDHLDPcofwR9IESGsP6WlUyR3n/gJSSCjJCyVU6+mdR9qKM3afWpowgKkSb4B3xmPGP6sxeTjewjFu8UR0bInDn/N2KfseGfDHOzHL1Nq2LtYrvIrDPCLcH8B+bU2ddWOWsdtP66PtuXRQilx9LxH4s3ScLsCYR9xtp+01b4ZgaU5sQ4aJuMcqiKSTyEkGyUsbI7QojeotNn0vTGvg6ae8hlRjMvgt0USp1NBb8R9P733tRE8QGvbJPVkVe2O8susyh38M8iW2X9B3pVuRghFP1KtOiYWmwXE1cSdIBGCDl/2cmsMzv/fIddYnW3dVgxh9qlkILMv2du/8fteF9n+7+25+2OWib2X30VchHuCKlzqfRkmv+cx/t14vrMYIZb5JhVxvEvHOp+2IRIWH7XghCiopRsyn/LYZ4x8S/Erf/Wyi6y2YEXkXepTaLXaWqPMv2pyfI7FnpNk6K08eJykldinjGqGif7lAUH3UCs/9bKzYKDrowT5KDpLbo6B62OQBFC/B1e7BBLiIHxD/ndX9hd/f6qwiqJtxN7/8Oe+T+Y6U16X1kqEiH5haRy6GdChr8y0Dv03k/thf9+qanCnDEnfCZk+l+llKYn04k387Mdwu+Gd/75jv3X7dwchxBCMjL/odny+xb+fv46Bf11vToINfy14fAb1gmfCMFvBvnPeUIm6K1XI+jMcIZb4JCCLL9vKTyLClHZ/myenAX3iHP/Mze9S7OP2eSlJBa2lh2vNhAx/NCglZ9n1hnRK6KXmqj0Di25JbFdtP6mlT5Jky7AMeCk3K+yXWafs7Kh+hg0Lgt3hP0C0BhulnP+ijNnygV/Jih5JecvOXHOAx5F5sdGCITwsNEop8+l6VVa96EudT4V/no4b4vlnCmHCPQqtwEheoXWavCLnSLqQAih9FiaDtB48i3+X8a9X/fmLU6x/V/1UN3j53lFr1h/w4oQYraY1NkXo/uMP2P5XhHXjCEyRNv/2JaXUU4mSOOfGhFC3BwX+mZI7BY9P+uR7NJ+3hZvYadmPbOLbHYwi0hk/H+rWeIIAA3kBI2gmefM4UMc3BJX2sERWcLwQ4PpB6acOSe5JDUjTft6/qpls0xFKCpMyVY5dTql/0CPEMJv7nmbP0V+IhL6xyFtDbPGaGWaFVpBBFJYJfhPgsGfDSKEZKdMRajCpYN1QkbdX+jGAqRqiEOhlGxvtnQuGrPOYHdcCPuc7f6xbskmITyC3i2VEiB2iHgJIv+Aj30pdhgpVABoFCfIQbPLbM6UK7qEQYvoy1dl046gUQ4Z/tJw8PUU5PpnLs/PetQKbonLDOQvcpVdMrVNkSEyZ8tlRjP8HI8Q4md5629Y8xZ6pM+kX0kUUYjIETj5LHEtkZpKYaUh7gG39/U9PDsndoiJqwndjQMW1x0papyE3qIltyRb5eUfLlN71KGWTb4M0MsOuYQsERWhUudT7FMWIaS7qRN7y9ptBACajRPjoO0y85zJGXOrf7RaYpFbTp9b/rPlvKGuqhdR4SURvfPqHZz/nE/8F4mc8NqlQ/8wpL+hp/YoySYprILn6LhZDmvG59mvu63DCpyyWVYVI2N/Jxb+elj0icwyY/sNm9gtWv7Aov+RPnUulT6TFu6UWm9dN4g0IRvl8NfD9l+3t/1M22FbkwlEoRIhDoQQvUZHfjKiu6lDCCEFuf6py/iXEN8AWo8T46BtMvOckWyS2CeWyCBOnU8Z/sqw+4u7NTeAClCW37IEfyGIEMqMZYLfCCbeTlB7lP59PbVHpS6n2KXXEieoCKXqGotdIr1C6z7QJS8kEV41t0chhKgole3OKrQSfyfOPGPIOOn+llu4LXBLXHYgm+3OMsvNMmx0/Koj8ncjOJfukFC7lOSUcqZciW2omHUmZ8ipXco+ZSF/AGhFToqDzvE5eofOnMqwi2zyUhIhlLxaZA+U5KWk5fct7FM2MV1c/+EwGP7akPVlJbcU/1vx6I9HY387Zv4jM0KI2qNiPxazfPe1qTN6nVbD0NEfj+pu6fhZPjOeQRoHTa/S/EPe/n/YZYesu/MqmsEusdmBLKJQnTcwLYHwieD7gq8mAXF6kz5wA1xmjVFXwQBA63JSHDRCiEySUrtk/DNj+nQ6M5bZ+M2Nwr1QM2MZfpa3/d+2vX+0h/smZ8ipe+0cHuu/s4a+GUqdTRn/ypgdyOIgqfCZ0PHfduSNoJkNRmwXI38vsvqHq7JRNv2piYyROUMOEUi2vtj9j5/n9e/ruYec69sudvHV6WSMFDtFvON981CrhXbMFnOgg9Zd19n/VVnr4AGgmWmu/+GakJhO6P6zTrskIWfIkXESKYiMk+xj1hwxr//Ouu3f2OJfjFt/65WOZU6XIxMkkhEVpoRbQvyduOGHhtTZFP9ZzdTNdbd0sS/HyARp/gMz9+DFSzcZI9lY/sIQbp7b/V92mXWm891O9DI5kFllxE5Rdr1IYNgv2wEhRK/R3OPj+VJPb9LpsXTpbbYJmcABfQBoaVp+BJ0ZySicEv3x6ItdKVll59s7gV94TZ1E9IrMOoMQIqMk+4w1/bGp68e6LL9tSbz1Whwj48+oGhSW37VE3o0ghFJvpHSf1DIXwvm/Oh3/0sE8Z4x/UWraSvhY6PpKV9s32pAmdZv/nE9PplNnUvznBzwzuEWuCj2NloBep2N/O4bXRgLA8ablHbTYLq7+8WrgFwMZfwYhlHgrYf5Ds2yRUxdezQRKHRJeCsw8Y7CnpndpMkWSKVK2aJTkRjIvVtwhRO1RZJiU2qX0qbS633tNIBMkjmwcjIzQ6wtr9O/r4+/EpQ4Jf4sS2H/Nrv/weAZhuUec96e8jv/NcfChANDitLyDNvzI4P5Ft+M7DqzdHv1K1PjnRucvOwM/F5DaX0Qq1RG09x96tVvj6G7rtH48M/IiE/lFyz807P7Pu8wqk7fyuIHQm7RslemVgwePhEigarSvWwNmg9EuqgSA48pxuMu5OY6f4TOjmdTZFBWhmA2G2qNc33Zt/estnIyhOug8hP8sxP5ObO331/AKQ7FbZFZeHaa/rk+fTjfbSM34n4zHdWgMAEAex8FBI4TY52xmIBP8+aCqYc8tcO1fbw//VDjbl1VDHHlwi1zGn9Hd1gW/GRS7RCpIacfXZJz0/S2fuk9Hk2D+D2bjn8OaCwA4ERwTB41yiJAJ0/dNWkVwMkk6fsWx/SvbOf2LPe7yUVD3F7pt/6dNcks7394x/SB/L9TDi7oBAABUzXFx0Ai1/Uyb6T/me1juEWf6vqntG/suL8bxZde3XYhA+psQOgAAoIk4PrlK+2mbmb9vPvjcPcr731WwkSAAAEAdOD4jaAAAgGMGOGgAAIAmBRw0AABAkwIOGgAAoEkBBw0AANCkVJbF0dbWNjw8rP5JkuT169dFUbTb7QMDAxzHRaPRubm5TCaDECpaCQAAAJRJZQ56c3Nzc3MTl202W09PjyiKNE2PjY19/vnn0Wi0t7d3cHDwwYMHRSuPwH4AAIBjS5UhDoIgBgcHHz16hBCy2+3RaDQSiSiKsry87HQ6SZIsWllTywEAAI45VS5U8Xg8iUQiHo8jhHQ6XTL5YvsoSZIkSeJ5vmilWnMgLMuOj49XZxsAAMDhMRgMDR9WVumgfT7f7OwsLpMkmcu9EhmSZZmiqKKVhe0wDDM2NkYQ+ZIXNE2n02mSJEVRxK1BAQpQgEI9C3p947UfqnHQJpMJIRSLxfCfuVyOpl+1Q9O0JElFKwubEkXx3r17hfXT09OLi4tV2AYAAFATJiYmtKPMhlDNAN7pdAYCr/aUSiQSBoMBlzmOI0kynU4XrTy8uQAAACeHahy0wWDA0WdMMBg0GAxWq5UgiJ6enp2dHUVRilbWzmwAAIDjTzUhDp7ns9ms+qcsy7Ozs36/n2XZSCTy8OHD/SoB4IRDUdTVq1dnZ2d3d3cbbQvQAlTjoD/++OO8mmAweOvWrXIqAeAkQ5IkQqhwVhwAigK5yQAAAE0KOGgAAIAmBRw0AABAkwIOGgAAoEk5tg56cnLS631tm8H29vbJycnCIw0Gw4ULF47Oks7OzoGBgdLHGI1GbINqjFpQPzoMg4ODnZ2dh2wEAIA6c2wd9Obmptvt1tZ4PJ6tra06m6HT6bxe79OnT0sfFo/HP/vss0o/Kp+lpaWOjg5BEA7ZDgAA9eT47Oqdx+7u7sDAgCAIqVQKIcTzvNFonJmZcblcPp+PIIhsNvvo0SOtfpPJZBoV6J9BAAAgAElEQVQeHsZJhGrZYDAMDw+HQiGTycQwzOLiYkdHh06nC4fDeDG63W7v6+vDSyUfPnwoiqLWjK6uro2NDVmWS7djMBhGR0dv375d+EW0HxUaj5sNBoNGo5Hn+cePH4dCIYIg/H6/2WwmCCISiTx69EiW5fX19c7OTmzz5cuXZ2dnI5HIUf4CAAAclopH0DzPT01NTU9PX7hwwWg04kq73X7hwoW33nrrzJkzHMeVqKwbkiQFAgF1EO12u3d2dhiGGRoaevDgwccff7yzs6PdfKAEer0+EAjcu3cvHo8PDg7Ozc19+umnHo+H4ziO40ZGRh4+fHj79u1gMOj3+/POdTgc6pKEEu2UYwbP80WN1+v14XB4Zmbm2bNnPp8PIeR0OlmWvX379u3bt7PZLF5zHwgEnE4nPmVhYSGRSJRzUQAAGkjFDnpsbCwQCHzwwQfLy8tdXV0IIazNPz8/f+PGjWg0Ojg4uF9lndna2lIdNI5v2Gy2cDiMx9Sbm5tGo1Gr6LQfkiThwWYqlQqHw7lcLpfLZbNZlmWx7DV2dhsbG3a7XbsGQRAEgiDw5Uq3U87X2c94WZZDoRBCKJlMYl+fyWT0ej02ZmlpCV80mUySJMnzPEIoGAwW1a4CAKCpqCzEIQiCIAgrKyuKoqi7q6ja/Aih5eXlq1evkhrBfm1lnaWh9vb2SJI0mUyKopAkGQ6HTSaTGoLA/pFhmAPbkWUZFxRFUb8ClhahadpisVy8eFE9kmEYdR08wzDaiEeJdspB25rWeLVZ9HKJWiQSWVpa6urqGhkZ2d3dXVxcxJfDDwNQrQKAVqEyB20wGJLJpN/vt9vtqVQKvykfhWB/TVAUZXt72+12K4qytbWlKEo2m8VaqQghkiRJksxms+rUmdZXljOyRghls9lgMKhKYx8ppY3PY2dnB4d0RkdHOzo6VlZW6mAhAAC1pbIQB03TJpNpa2vr5s2bgUDg1KlT6NCC/efOnXujAIIgsIvkOO4whVAo5HA4HA5HKBSiaToUClmtVhyT7e7ujsVisiyzLKvGJXieJ0mS4zgcG+E4DputNkhRFC5gC0OhkMViwbF4u90+NDSkPZgkSTzIPbCdcgpFjVffALSX6Orq8vl8HMcpipLJZNRrcRyHfxSPx4NjHYfsXihUWlDDWU1iDxRKFxpOZUZIkpRMJvf29hBCKysr/f39DMMcUrD/zp07hfXT09P4eHUv8OoK4XAYl3GwRZKkubm5kZERgiAymczc3BxCKJvN4rFzLBZbX18/e/ZsOp3e29szm82ZTAZ7QLVBWZaxYYqiSJKUzWbn5+eHh4dJkpQk6fHjx3lXRwjhTJLS7ZRTKGq8GvTQmrq5uTk8PNzW1oYQikajKysrsiwLgiDLMtaJ7evrm52dTafTh+xeKFRaUMNfTWIPFEoXGg7R29tb/tFGo3FiYuLmzZsIIYIgrl27dv36dZvN1tnZiXN1OY67dOnSBx984HQ6CyvLj7dOT0/fuHGj8q/TdPj9/kQisbq62mhDUFdXlyAIeJ9foFEwDHPlypWHDx/u7Ow02hbgACYmJhYXF7Xa9/WnshBHLBaTJKm9vR0h1NHRgf8Ewf4SrKyseL1estFbT1IU5fV6IRINAK1FxXGWmZmZ8fHxwcHBeDxeQpsfBPsxyWRyY2Ojr68PRz8aRV9f39ramprwBwAl6Ovrs9lsebFHlmUpioJbqM5U7KBTqRQI9ldEM4xbYQdeoHwIgih85+vp6TEYDIdXHQAqoilmKo8IgiB6e3u7urpu3rypTqa5XK6enh6WZWOx2KNHj9SF4HhtdCqVmpuby4s62e323t5enuej0ejCwgKeQCjaTtErlrZnPyN9Ph9ePq42DgANhCAI2Aim/hxbsSSE0OjoqCzL2ti3IAiDg4Ozs7M3b96MxWLq+saRkZFgMHjjxo2VlZU81TeapoeHhxcXF/Ep/f39JdopvGJpe4pWchw3NDR0//59vHwcp+4BAHACOc4O+vnz58+fP9fWKIoyPz+fSCQURdnd3dXpdAghnud5nl9bW8PrWebn57Wn2Gy2WCwWiUQURVlZWXE4HCRJFm2n6BVL21O0UhCEdDqN1/vt7e3p9foqvz8AAC3OcQ5xFObHqI6Ppmmv1xsMBtHL5ZFDQ0NWqxWHFLQrHgVByFsSyXFcKpUqbKfoFUvbU7QyHo+zLGs0GmOxGF5iU9G3BgDg2HCcHfR+9Pf3d3Z2RiKR+/fvo5fLI58/f76wsNDZ2Tk2NvbJJ5+oB1MUpV0Smcvl1CWRee3UCkmSlpaWpqam8Hqfe/fu1bBxAABaiOMc4tiPpaWlGzdu7O7u4g1WJEnC8nIIobW1NZ1Op1VQylukTlGUKk6U106t0Ov1vb29t2/fvnnz5tLS0vj4OEzOAMDJ5GQ5aIPBYLFYEEKyLGNfzHFcOp3OW3evnbJLJpNqFJjjOJxZUbSdWhlps9kikQgOoezs7AiCUKYeKQAAx4zKQhwkSV67dk195d/d3X3w4AFCyG63DwwMcBwXjUbn5uZwIlrRysaCEyTu3buXSqXcbrcoiplMJpPJyLLc1ta2ubnp9Xrj8ThWwHC73Xt7e6FQaGhoyGKxRCKR7u7u3d1dRVGKtrPfRXE7qgjDgSQSiY6ODiwuarPZsOJHbb4/AAAtRWUOGnuN69evv9YETY+NjX3++efRaLS3t3dwcPDBgwdFK2tq+cGmXrp0CSFEEAQu3Lp1KxgMrq2tnT59mqbpVCqlrm988ODB6Ohof39/IpHAIkQIob6+vrm5uXA4PDc3Nzg4yHFcJBLBOR5F2yl6xWw2i9tRFKXw06KVoVBoY2NjamoKISRJ0uzs7MlcJQ8AQGUOuqgoXXMK9hc+SDArKyuFS/tSqdSnn36aV7m+vo6HrqFQSDttuF87+10Rt7Pfp0Url5eXl5eXC+sBADhRVOygSZKcmpoyGAyxWGxhYSGZTDatYP8hSafTNTG4Vu0AAHDSoKxWa/lH0zTNMMyTJ0+ePHmi0+l6enrW1tbsdjtCSE3X7ejo2N3dxbryeZWFsVSGYSYmJtrb29teRxAEvHIET741pBCLxZqqHSgcg4IgCF6vd3d3V1X6bhLDtAWLxSIIQiAQ0H5kt9s5jtve3m4GC+tTcLlcwWCwsTNAlelBv3YmQVy7du3mzZvt7e0sy6pCw2+99dYnn3zi8XgKK8vXlDg2etAAoKUl9KD7+/vtdnueJprf7zcYDIWRwGNM6+lBcxyn5pzh5NxcLpdIJPB4GWkS0YpW1s5sAACA409lDtpgMJw5c0YQBCzDH41GRVEEwX4AKA1BEJOTkzh3HgDKp7JJQpxedvbsWZIko9Eo3s0aBPsBoDQkSZrNZp7nE4lEo20BWomKtTieP3/+vECSDQT7AQAAas5JFEsCAKAotRUtAA7PydLiAACgBG1tbX6/f79POY4bHh6upz0AOGgAAMqCIAh1bwqgPoCDBgAAaFLAQQMAADQp4KABAACaFHDQAAAATUqVaXZWq3VqaurWrVs48b5VBPsBADgkWBS+0VacFKoZQZMkOTg4qIo8YW3++fn5GzduRKPRwcHB/SoBAGhpBEE4depUo604QVTjoH0+XyAQUJ+iqja/oijLy8tOp1Mr2K+trKnlAAAAx5yKnaZOp3O5XM+ePdPWlCnYXxOLAQAATggVO+jh4eHFxUXt5lV5e1nJskxRVNHKwtYYhjl37twbBRAEgXfa5jgOClBo9YK6L7taaBLDCgsEQWAl4aIfNbnxNS80nMqMaGtry2Qy6j4pmFwup/0yNE1LklS0srBBURTv3LlTWD89PY2PV6cWoQCF1i2oEzZqoUkMKywoioKVgYt+1AwW1rPQcCpz0C6Xy2KxXL16FSHEMMzZs2cfPnyYSCRsNhs+gNMI9hdW1tZ0AACA401lDnpmZkYtX7x48f79+4lEgqKo4eFhq9UaDoe1gv2FlbU2HgAA4DhTgzgLCPYDAAAcBdU7aK0YPwj2AwAA1BzITQYAAGhSwEEDAAA0KeCgAQAAmhRw0ABwtBwDkQOfz2e1WhttxUmk5W8dAGhmCIJ466233G43QogkyStXrjTaomrgeb7oSmDgqAEHDQBHDl4krS6VLnqA0+lskuXFQPMADhoAGg/P82NjYyaTqdGGAM1FxU9st9vd19fHsmwsFpubm0ulUggE+wGgEnp6ejKZTCQSabQhQLNT2Qhap9P5/f779+9fv349Go36/X4Egv0AUCE6nc5gMJSIeAAApjIHrSjK7OxsPB5XFGVnZ0ev1yMQ7AeAyhkcHHQ4HI22Amh2KnOaqVQqGAwihGia7ujo2N3dRSDYDwAH0dnZiRDKy1QTBKEVRy00TXs8nkZbcVKgqkhvHBgYOH36tCzLCwsLuVzObrcjhFSRaOy4DQZDYaUqhqvCMMzExER7e3vb6wiCsLa2pigKx3EIIShAoXUL3d3dDMMghPAbp4rNZovH47IsI4QoisL/I8lksoGmWiwWg8GQTCYFQQgEAupHNptNp9PhmAxFUYIgYH3KZujeoyu4XK5gMFjotepJNWk9jx8/fvr0aUdHx9TU1O3btw8p2H/v3r3C+unpaXzjNoluNxSgUF2hdKBZURTt5DnehKgJBftxjfJSMVhRlBPy79lwKnvDMhqNeMQty/LKyoper+c4LpFI4PEyel2wv7CytqYDQHPi8/mMRmOjrWgZnE6nXq+fnp72er2NtqXpqMxBsyw7NjYmCAJCyOPxiKKYyWSCwaDBYLBarQRBaAX7CyuP5isAQHPR09NjNpsbbUVr4PV6x8bG8EpLdcNGQKWyEEcwGFxZWZmamqJpOpVKPXjwAIFgPwBUi8PhiEajjY1yNhZIwC1NxTHo5eXl5eXlvEoQ7AeAKmhrawsGgzgbCgAKab0sHwAAgBMCOGgAAIAmBRw0AAANpru7u9EmNCngoAEAAJoUcNAA0EiwEnQTyuE7nU4Y2DYccNBAlVAU1dXVBbmreVTaIVj3sQkXtlgsFpyeXAjHcb29vbjc0dGBlUaAowAcNFANJEl6vd6+vj51vSiAuXz5cqNNKAuTyVS1YyVJUl2JY7FYYLvCo6PiPGin09nf389xXCwWm5+fx5J1INh/0mBZtq+vr9FWNBEsy8qyjBUqKkKn02kbmZ6e/vTTT2OxWDnnms1mv99/9+5dURQrva7Vau3t7V1dXT3wSI7jjmIvLqvVWttbiOO4bDZ7zFYsVzaC5jhudHR0fn7++vXr4XB4eHgYgWA/ACB0+fLl6qQktMNYrD5afjyapmmdTnfU8Wufz2exWGrYoNfrtVqtQ0NDWDSiJrAse+nSJZvNVqsGm4SKQxzz8/PhcFhRlJ2dHfzwB8F+AEAl94Q9Imrlmjs7O6enpwvrGYYZGBioySW0dHR0HNFmBcfPyVT2fTKZzPb2Ni7bbLZwOIxAsB8ADg0WjK4Im802Ojpak6vvF8EgCKLMsbPP5/P5fDUxBtBS5QPHbrd3dHQsLi4ihEiSxDq2GFmWKYoqWlnYDsMwZ86cmSyAIAh8PMdxUGjaAno5ZmkSe+pW6OzsdLlceR9RFLVftxwIjsbiMbjT6bTb7dPT01ar9eh+gkILaZomXoK/DkEQDMOocQP1FUE9huM4giAEQfB4PHjasJyrq6cXcshfh6bpmt/hjaWa2L/H4+np6bl79y6e9wPB/hNYUP/BmkFjvv6F/v7+5eXlnZ0d7UfaSULcLUNDQ2tra6hs8ARXR0dHR0cHbqTwv4BlWa/Xq53XKfoT2O32/v7+Tz75ZL9vkXcWQqizs7OzszOdTmMzZFlWFEUbNNAK9qui/oqi4P/0Qpn//Qrq6YVU/aPg7EZJkmrrNxpOxSNop9Pp8/nu3r2bSqVwDQj2A0BR7Hb7fqnE5YDHp3mVer2+r6+P5/nSCdcsy6qbVDEMU44+tdYXMwzjdDpLHMwwjMvlOrBNhND4+Hh/f385R2oZHR2FTXVRpQ6aYRi/3z8zM6N9woBgPwDsR0X7q+bFgkdHR6tbwEJRFHbf6t56k5OTCCGSJMtcR0MQROkJN5Zl29vby2mKYZjCGDdJkqXnVF0ulzYB8cRSWYjD6XRyHHfx4kW15sMPPxRFEQT7gVYEz4Dhue5moFZ5wU6nE6/0u3DhwgcffKDWt7e3DwwMvP/++zW5ymEoPfqemJioqLWjSNNuEir7YhsbGxsbG4X1INgPtCJdXV25XC4cDvf398uy/OzZs+raweNTLXi7zkMbWAMsFos61K1/ImB1VJTOzDDMlStXCus5jrt06dLMzIzP55ufn1dDsq3FsX3yACeQzs5Ok8lUxeua0Wg8zL5ThRHe9vb2JnlD1+l0eDZov2BLd3d3dRlyLMuWGYauMzzPZzIZNR/DbDazLNuiDvq45XUDdaa/v1+v1zfaihfwPH+gMcPDw2NjY4e/ltPpxC5vv6hubVffEQRhNBqrGAKbTCZcwOt+i7ZcnUkMw3i93krXhrjd7qNbTkIQRHt7+8WLF/PkQSYnJ5tQjqocwEFXj81mO3fuXKu8Nh4Rer2+hQTthoeH1eTiPIxGY4mB5KlTp/Ca7PHxcbykW6fT4ZXK9VFHMplMZ8+ereJZWHqWcnR0NC+eQFFU+b5Mp9NpDy7H83Z3d1cUMvb7/eVvke7z+YaGhpDmqaOupDcYDK34rwoOukpMJhPWcmvFX/3EUiJ5gKbpEu5Pp9PhpbA6na7M7IWaMDU1pbWq9CDaZrNNT09XtMLC5XLluT+SJKtTKDQajSMjIwzDVLEqsgRtbW3aZ4Ddbi/RvtpX4+Pj+Cy1xu/3t+IgGhx0laihPeDk4PP5KIpSf3efz4dXlBwpWn/k9/vxy3vRGUg8MrXb7fs9aarIRy4fvD5wZGSkamU0n883OjpaInZPUdT4+HjpBG2V/b5sk0zelgk4aKApsNvtb7zxRn1eR/AKZlzmOK5EzkDeehCPx5P3Fl+HBK8zZ854vV673Y7/7OrqQgipevmFjI6O4mP2w+FwFBXxqIm2HHbTPM/jHh4bG6vIIbpcrp6eHvVP7dsAQRBXr15FmgWNpSkaeTMajZcuXWqhoRVkcQBNAcMweOVbHRY0GQyGiYkJLIXM83wJmdBTp05FIhGsOWM0GgujB/VJY6itWq9Op3O5XPF4PK++zJFpCfR6PUEQsVjM7/dns9m5uTmWZSudEtR2KfbItcLv9+MHaguFJSt20ARB9Pf3d3d3X79+XZUJP8mC/WNjYw8ePIB1ki2Eoigcx3V2dub9oxoMBp/Pt7a2VlQ3pmjcoHkyWCwWS0URjKOQTlbfJ0rIIZWPumwHK4TU5PlxyBbqT8UhjvHxcayiotaccMF+u93e/A/k6enp6qKleGO60nkaPp+vVsrr9dzdjuM4/L1MJhOOezIM09HRMTg42NPT09bWxvO8Vt2taSEIgqZplmUrCibUNgtQC16kw/P84OBgTSYMeZ7neV5NR3E4HK3oaqujYgf99OnTp0+famtAsL+3t7f5xXArTYYjCGJ6evrMmTMjIyOlN52zWCwXLlyoyRR5b28vSZJOp7OofvwRoXXBiqJYrdb29vaurq7JyUmWZR0Ox7lz55p5MbHFYnnzzTebJ9kRi28IguB0OmvVb1rNKYfDoSZ3H3sqdpqFu6WdEMH+EvmhnZ2dPT09TT7OKsH09HRhHLbEA7WoklkN9XO1Qj9lotfrh4eHnU4nwzDj4+OHuTr21wzD4B4gCEJVTz6Q06dPH+bS1YGH/0ex9UnNOX36dHUPkjyPrNfrp6enXS7X+fPnj+5VoBmowfPtkIL9Y2NjRV0bRVGyLHMchzVeG1gwGo1nzpx59OjR0NDQnTt3cDjM7/fnGcxxnCiKTWJzXkG1MO8jQRDwEmeGYSiK6urqikajWDxIK1hjt9sjkQhCyO127+3tTU1NFf5edrtdFMXh4eGFhYV4PF6OYYIgMAwTi8WMRqPqAdX75NKlS7u7u8vLy5lMJpvNFp5uMplomg6FQhzHtbe3q+qUHMftd1GEkDoPie86bbCu8D6saNKSoqiG7G9dOmejkDIlmdT+0faYtuuK1hSejl6KU6+urrIsi59/h5yzwaEwvHt1RXqBGHWzgtK36GEsrBU1cNBHIdh/8eLF2gpvy7I8Ojr65MmTRCJR6enqNhDYYJvNVuidEULd3d17e3vBYLAiwxwOh9FoXFhYwDVWq5VhmDwl+MJCLpfD9pR/LafTmUqlNjc3EUJ9fX27u7t4xfPjx4/RS7F5n88XDodFUcxzwW63W6/Xb29v9/b2YtsK6erqSiaTRqNRp9OdO3fu448/xtcVRdFutwcCAdUenueHhobu3btnNBrVfK9Hjx7hgnZjbKfTiaeG3n//fUmSsKKCtuu6u7vff/99LBuPNN4WH0MQhCiKecr0WtX5vK+AheS1vqYiP3LMgniFHaUt5D3e8voNva7KjzdIKvwJDgkeeVQhG13+LhMNpwa3VEsI9lMUZbfbDxNmwfOcJYJf7e3to6OjhYlBWIR3vwiATqfTtul2u8sZEI2MjOAlreWjLk3GV1FfDNWfCU+8WCyWot/RYDDgkVeJxDL8SMb/MG63GweF3nrrrbGxMfXSJEkajUa9Xp+XdVB6NgmP7i9cuFD4kcvl2m8MNTAwcP78efzub7PZDp8GUJp6znC2HCaTqQ6Leo4fNRhBB4NBLHEQDoe1gv2FlYe/VsMZGxtTx3r7gSV7gsGgTqez2WxGoxF7kAN1eI1GIx4UCIJAkqQ62C8ErwVwOByBQADX+Hy+dDq9tbWlPUwQBJPJpK7l7e7udrvdeAis/re0tbUhhLxer+ouq/5Hwi3g+RyfzxeJRAr3E7Fardhj9vT0aKPM6sqLosILAwMD2E4sJC/LcmdnZ3d3N0JodHRUFEVtX7EsOzExMTMzQ5IkTdP4eYOzMtTEUKDOcBzX/BPpTUhlDpphmDfffBMhRBAELty8eTObzZ4owf4DX6nwhga7u7uiKJav29Db24sXqmUymd7eXo7j7t69q37q8XgIgsABCowgCG63W3XQdrs9kUhsbW319PSkUinsqcfHx/PmZHieLzpC1+bJ1SpnrlDoThv12i9Tqug8G/bOCKHz58/rdLr3339f21SefARBEGqsE718eUIvs7Wq/z4AUHcqc9CiKL733nuF9a0i2I/X8i8tLakZJnkIgoCnufY7ACGkLrotTeEL9fDw8LNnz9LpNBaUyeVybW1taqhBTRvAc1x5BjgcDo7j0un03t6etv7UqVOZTAYvdbNaradPn8bulWVZg8FQW9maStG64P7+/u3t7ZGRkUO2Wb7I8sDAAP6lWJYdHByUZbk+yxQBoIY0b3ZnDaFp+syZM+jlYCoYDIqi2Nvbu7y8rI2M4/Rts9n8xhtvPH78eGNjI5fLcRxXq9ilx+PxeDyff/651Wp1u927u7ttbW2KouRyucnJyaLjVhyuNZvNer2epunOzk6tg8aO3mg0YglN7UCS5/nq5IOPCLvdXuaDrSYwDKONpFMUVcMsQACoGy3voB0ORywWczgcoVAolUoRBDE5Obm9vb25uanmA1AUhd0fHqIODg52dXXhiOTKyoqaXmI0GtVk0oGBAZ1O9+TJE4PBoL5f14TTp08nEgmaptWpLZIkCweGgiDgUIk2NwCvm3C5XHhwit2xoiiFI2WdTnfMkgq09PT0lNa7IUkSohnAMaDlHfSpU6dw4dGjR+l0emRkxGQymUwmPIG2vb2tnRdSV5zj/16cGMcwTDAYxINlbcterzebzWq1tWqFXq/XJpMVBWcmoddzklQFiQOHxq0ofVs+MN0EnBBa3kGrmEwmbeaZ1WrFCQOPHz8ukRvn9/t5ng+FQltbW4UR0qPwzoekSXa6AwCgDhwfB71fIKL0Elg8lLbZbEch7gUAAHAYjm2YEgAAoNUBBw0AANCkgIMGAABoUpo0Bs0wzKVLl8o5sr+/X6fTHdECBL1eX2K9dSGFkjGFUBSFRX8OZ1pxOI6TZbnmQlyV9kNNGi+nM0tA07RWoKe2YBXAA1NxquOIepsgCEEQSqzAqgKGYQiCwIKItUWn06XTaa0iZg3JZrPleAwsqHkUBpRPkzroGzdulHmkz+f7wQ9+gG/oPF3Ewy/T+NrXvvbd7363sD5PgzGXy2F51TyFxqJL17Cm0o9+9CMs90WSZN4x2tMrrbxy5crm5uaTJ0+0emP4EnnGFLVQ27j2C371q1/93ve+dxT/LQRBvPvuu7/3e79XXWeqxxd2Zn9/v8fj+fDDD6vuzLyPkKYzv/jFL96/f19deV9RZx54Z+5315VDngFqZyKETCbTO++88yd/8idFFUTV4/O+aWE/aHtjfHycYZi7d+9qK7W9oa3M68zCztH++eUvf/nGjRvqsqyqO7OQr33ta+W7l4YDIQ4AAIAmBRw0AABAkwIOGgAAoEkBBw0AANCkgIMGAABoUpo0i6Mi1Clg7YQ+qsXWZ9p91fa7aOG0tTa1ABVMUhdmgBSd1M6boS7aiFqpbVPdWC/vmMILoZL5DNrOzOVyuVzuiHIZtZ1cw87M64cqOrMwLUHbmYW9UWZnooPuzBJ3XUXkfX3V8tKdicvl3JnaHit6DNL0baFJ6in73ZmqkXkWHvLf/Ihu4yOCULcaalF0Ot0R5RQjhARBqHnjBEGwLKtmYubdLvvlDBW9gwsPYxgG79irPVF1NFXbfBT9UMPGi3oKvN9V0T2uyuzMwkq1M7W/YM05ut4up2X1binnzqRpmiTJvE6utDOLHi8IQjqdPooernky+JHS8g4aAADguAIxaAAAgCYFHDQAAECTAg4aAACgSQEHDQAA0KSAgwYAAGhSwEEDAAA0KeCgAQAAmhRw0AAAAE0KZbVaG23Da/j9/omJib6+vvX19eq2M7Db7bgFm822t7eHGyEIYmBgYHJycnV1tVbC8wRBvPPOO4Ig7O7uqpXDw11mK50AAAnlSURBVMOnT59+9uxZE9pcQ4PraXYeB94hRqPx3Llzq6urDTdVr9ePjY0NDg76fD6Xy5VOp6teInjU9uN7g2GYYDCIa5xO58DAwPb2dhNaqxrs8/l6enq6urosFks6na56Ax23240Nttvt4XAY70l01LdHOTTdCHphYeFv/uZvqj6dpumxsbH5+fkbN25Eo9HBwUFcPz4+LstyzVeOyrJssVgoisJ/EgRhs9kq/S3raXNNDMbUuatVqrhDGmXqxMTE7u7uhx9+eP369ZWVlYmJCYZhqminPvbLsuxyufR6/SHbqWdvf/TRR++9997t27fD4fDk5KTZbK6iEZ1O5/f779+/f/369Wg06vf7j87gSml2sSSv19vd3U0QRDqdfvjwYTqdNhqNIyMjgUDAZDLxPL+4uKg+8xFCdrs9Go1GIhGE0PLy8tWrV/GWP0+fPo3FYj09PbU1jyCIaDTqcDjwQANf3e12lzY+Ho9zHHf37t3621ypwW+88cbz58/xwU6ns7e39+OPP66/2fthNptHRkZu3bqVV86jIaYSBKHT6XZ3d/F/+Pb2djwex0Mzh8PR399PUVQqlXrw4IEoiiaTaWRkZG9vz2Aw0DT96NGjcDhcZ/sJgnj69Ong4OC9e/fyPnK73VgTIpvNLiwsJBKJ8+fPP3/+fGdnByHkdDp9Pt+dO3fqaa2WTCazvLxM0/TAwMCnn36KivUwQqitra23t5ckyb29vbm5OXVcoijK7OxsPB5HCO3s7Kj/DvW8k/ej6UbQWhiGGRoaunfv3kcffZRMJnFPKYpiMBjC4fC9e/eePn2apyWi0+lUJRRJkiRJ4nkeIRSLxY7CQoIgtra2PB4P/tPtdquvhPsZr9PpAoGA6p3rbHOlBmsPdjqd2hfeOnf1YWiIqYqiBAKB06dPezwejuMQQolEQlEUjuNGR0dnZ2c/+uijYDA4MjKCXt7VgUDgs88+W1pawpV1tp8giI2NDZZlnU6ntp7n+eHh4ZmZmVu3bu3s7GDbdnZ21MNcLhf21PW0tpCNjQ2z2UwQRNEeFgRhcHDw7t27N2/epGm6q6tLPTGVSuFBHk3THR0dagCwGe7kpnbQoihev34dh+329vbwz4wQkmUZd2gymcS3voq6RaZ6pPo6f0QEAgGz2cwwDEVRNpstEAiUNh4hpL2b629zRQZvbW3ZbDaapgmCyHPQ9e/qqmmUqffv39/Y2PB6vZcvX37jjTfw0MzhcESjUTxeW1tbczgcWNRNkiR8V4dCIZ1Opw2G1M1+RVEWFxcHBwe12nV2u31vbw/73PX1dZPJRNP09vY2tpwgCPWFrM7W5iGKIkEQNE0X7WGbzRYOh1OplKIoDx48WFlZyTt9YGDg7bffFgTh6dOndbC2TJo9xNHV1eV0OhVFYRgmnU7jSnVqKE9YFiGUy+Vo+tWXomkav1QeHYqi7O7uulwuSZJCoZD21ixqvCRJeVGtOttckcGZTCYajbpcrtRLGmX2YWiUqblcbnV1dXV1laIop9M5MjKSTqdpmrZYLFeuXMHHyLLMsixCSDVJURRZlhmGUWU862n/3t5eLBbr7u5OJBK4Js+SXC7HMEwqlUqn03jEmkwm1du7ztZqEQQhl8tJklS0h7VmFJ1bfvz48dOnTzs6Oqampm7fvl0Hg8uhiRy00+lMpVLxeJwkSfRyysLtdn/66aeSJLW1tbW1tR3YSCKRsNlsuMxxHEmS2lvniNja2urp6ZEkaX19Xa0s3/j621yRwVtbW263O5lM5k3o19/swjtE+4TWOoU8GnJX8DxvNBrx+7Isy1tbW21tbUajMZvNhkKhmZkZ7cEsy6pDZpIkKYrSiizX2f7Hjx+fP39+aWkJ/5nNZtXJN5IkSZLMZrPoZZSDJMmtrS3t6Q3pbYRQW1vb3t6eoihFe1gURbWH8eujapXRaKRpGmebrKys9Pf3cxxXdUJIbWmiEIfFYhkYGKAoqq2tLZFISJLEcVw6ncaPRI/HU86LUjAYNBgMVquVIIienp6dnZ06TMKGw2FBEAwGQygUUivLN77+Nldk8M7OjsVicblceQ66/mYX3iGZTIbjOGyqy+Xa78SG3BUURY2OjrpcLvwIsVqtJpMpEokEg0Gz2azT6RBCJpNpaGgIH0+SJI6BuN3uRCKhddB1tj+VSq2vr/t8PvXqVqtVEASEUEdHRyQSwSPQ7e1tm83mcDjyQnb1722GYbq7u71eL36oFO3hYDBosVj0ej1BEH6/X51ZQQixLDs2Noa/oMfjEUWxSbwzaqoR9LNnz0ZHR69evZpKpebm5tDLGaqLFy9mMpknT55MTEwMDAxsbm6WaESW5dnZWb/fz7JsJBJ5+PAhQohhmDfffBMhRBAELty8eROPAmqCoig7OzvqTkKY8o2vv83lG/z48WNRFEOhEMuyeeOg+ptdeIdkMpn19fVz586l0+m9vb39kvobclckEon79+/39vYODw8jhJLJ5NzcHJ53mpubGx8fpyhKkqRHjx7h49PptMlk6uvrUxRlfn6+sfY/e/ZMfYXKZDIPHz6cmJggCAKXcX0ymcQ1ee6sntZevnwZIaQoSiQS+eyzz3D3ZrPZwh7OZDLz8/OTk5MIoVAopI1BB4PBlZWVqakpmqZx1sfRGVwpsKMKcDDDw8OxWGxtba3RhhxbjEbj+Pj4Rx991GhDgOaiiUIcQHOi1+vtdntenBEAgDrQRCEOoAnp7+/3eDwLCwtNm6EBAMcYCHEAAAA0KRDiAAAAaFKaOsThdDpxTmIsFpufn8drmex2+8DAAMdx0Wh0bm4OzyCXfyQYDDY3xOaWs7yFTG1Rg8uh6eRGVTiOm5ycnJ2dffTokSAInZ2dm5ubNE2fPXt2dnZ2cXFRp9N5PJ6dnZ3yjwSDweaG2NxylreQqS1qcJk0dYhjfn4+HA7jpF2cdq4KZSmKsry8jBcyVXQkGAw2N8TmlrO8hUxtUYPLoSmMKEomk1GXrmGhE7SPUFb5R4LBYHNDbG45y1vI1BY1uEya10Gr2O32jo6OxcVFdJBQVvlHgsFgc0NsrtSehlveQqa2qMGlaepJQoSQx+Pp6em5e/cujtmXEMoq/0gwGGxuiM0tZ3kLmdqiBh9IU4+g8U4Nd+/eVVUuE4mEwWDAZa1QVvlHgsFgc0NsbjnLW8jUFjW4HJrXQTMM4/f7Z2ZmtPkuRYWyyj8SDAabG2Jzy1neQqa2qMFl0rwrCdvb20dGRrSBoQ8//FAURbvdPjg4qApliaJY/pFgMNjcEJtbzvIWMrVFDS6T5nXQAAAAJ5zmDXEAAACccMBBAwAANCngoAEAAJoUcNAAAABNCjhoAACAJgUcNAAAQJMCDhoAAKBJAQcNAADQpICDBgAAaFL+f/JsDr7EUb/cAAAAAElFTkSuQmCC\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"m_V0cJ50rURC"},"source":["\n","From the previous images it is not clear if there is a correlation between these two volumes,\n","in the first part of 2020 the volumes are clearly not correlated, but in the second part the volumes\n","look similar. To get a better understanding we should plot the volume of the Basic Attention Token\n","as a dependent variable of the volume of Ethereum.\n","
"]},{"cell_type":"code","metadata":{"id":"gBpZfwPrSW7P"},"source":["%%R\n","EBAT_Volume <- NULL\n","for (ticker in tickersEBAT){\n"," EBAT_Volume <- cbind(EBAT_Volume, \n"," getSymbols.yahoo(ticker,\n"," from = starting_date, \n"," to = final_date,\n"," periodicity = \"daily\",\n"," auto.assign = F)[,5])\n"," \n","}"],"execution_count":null,"outputs":[]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":497},"id":"1FGw3iGNZN41","executionInfo":{"status":"ok","timestamp":1613991623533,"user_tz":-60,"elapsed":889,"user":{"displayName":"Miguel Moreno","photoUrl":"https://lh3.googleusercontent.com/a-/AOh14GiOHwd46tb6WABFaBqCpQlKmXl9iR9ToQqbAXfOwA=s64","userId":"16673089900773182919"}},"outputId":"e3957ec0-fc65-44c6-e106-71d32b34ffcb"},"source":["%%R\n","EBAT_Volume <- na.omit(EBAT_Volume)\n","ggplot(EBAT_Volume, aes(x = ETH.USD.Volume, y = BAT.USD.Volume)) + geom_point(colour = 'red')"],"execution_count":null,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n"},"metadata":{"tags":[]}}]},{"cell_type":"markdown","metadata":{"id":"N9aAq4tdslMT"},"source":["\n","From the last image we can see that an increase in the volume of Ethereum does not implies\n","an increase on the value of the Basic Attention Token, this makes us think that these two assets are\n","not related in value and neither in volume.\n","
"]},{"cell_type":"markdown","metadata":{"id":"ok6fd7skDk9v"},"source":["##Conclusions\n","\n","After making this short study we can conclude that there is a relation between Bitcoin and\n","Ethereum, but it looks that this relation is going to change during 2021. This could be due to\n","many reasons and it deserves further studies. In contrast of the simple idea that a token based\n","on the Ethereum blockchain would have a tight relation to Ethereum, we have found that this is\n","not necessarily true. We have show that the Basic Attention Token and Ethereum don’t have a\n","tight relation neither in value nor in volume. Clearly these are not the only cryptoassets, there\n","are many other such as Binance coin, Lite coin, etc. This short study can be made with any other\n","cryptoassets to understand whether their are related via the market cap.\n","
\n","\n","\n","Finally, there is not a general correlation between any two cryptoassets, we showed two cases\n","in which the assets are correlated and another one in which the assets are not.\n","
\n"]},{"cell_type":"markdown","metadata":{"id":"xd5PbjE-0hmb"},"source":["Author information \r\n","\r\n","Miguel Moreno\r\n","\r\n","Github: Miguelwan\r\n","\r\n","webpage: miguelmath.com\r\n","\r\n","email: contact@miguelmath.com\r\n"]}]}