diff --git a/coronal_image_bnn.ipynb b/coronal_image_bnn.ipynb
new file mode 100644
index 0000000000000000000000000000000000000000..f8966d5c37e6c593766c139891fe11e5d33c2132
--- /dev/null
+++ b/coronal_image_bnn.ipynb
@@ -0,0 +1,4699 @@
+{
+ "cells": [
+  {
+   "cell_type": "markdown",
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 218
+    },
+    "colab_type": "code",
+    "id": "6gMl5hXMFD2p",
+    "outputId": "c6bf6f59-e6c0-41e3-b4bd-94b52250bb6d"
+   },
+   "source": [
+    "# !pip install pyro-ppl"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "kSKC5SVaDKtb"
+   },
+   "outputs": [],
+   "source": [
+    "import torch\n",
+    "import torch.nn as nn\n",
+    "import torch.nn.functional as F\n",
+    "import torch.optim as optim\n",
+    "import torchvision\n",
+    "from torchvision import datasets, transforms\n",
+    "from torch.utils.data import DataLoader"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "9nnWWabPDKtf"
+   },
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "from matplotlib import colors\n",
+    "from IPython import display\n",
+    "import os\n",
+    "from PIL import Image, ImageOps\n",
+    "from torch.utils.data.dataset import Dataset\n",
+    "from scipy.misc import imread"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "4JAJEC4GDKtj"
+   },
+   "outputs": [],
+   "source": [
+    "%matplotlib inline"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAgAAAAFICAYAAAAmm0ZmAAEAAElEQVR4nIT9x5JtybIkiKm5L7pJ0EOSXva6XjP0AGSCKQRTzPCj+ABMgAkEEEh3o7q6XlfVuzQzDw226WLujoGaue/IewsIkZQ8J07E3muv5e5mpqqmJv9H+T8nAIAIxHvAe+SvEJCWBdK2EBHAOUhTIw0j0rKUn40JaZkhVY00T/j/9eVvriF3t0hOgOcd4sse0rVI0wTxHvF0glQVIA7H/9P/Gs//5IEEVAMgS4ILgB+A5IHQAhL5um4CpitB6PTvM/89NuXv9V4vt+b3JfB1lh6ozkB1AFxIiJUg1oBbAAkpX3usBUsP+FF/b8XXlaW8ph+A+si/JwEgvDZJQGiA+Uq/DyD5hHovgPB71QDECvnvoQWaPV9rvCk/W534XkvH948Nr99N/FkkXl++7op/T57XLpH/uRmYrvjzkvhv1YmvC+HPxBpIrnxmWYDpJkGCQCLgz/oeDV+n2QPjDeAn/j1Weo/szwvve2j5etNVQn0QSOB7NTu9XzFhuBfUB8BPCaEVtE8JEGDaCvyYEDpBcnzd/mvC+Z0AEWh2CZKA+pAQGsH+94LmBWifEpYeaPb8/uk9H0SzA/Z/iGieHK7+HHG+d5i3QH3ga8ean2dZ8XtIwLzh52h2wOm7hPaRayY0+vwr3pf2KaE+JSydYF4LqiHle58cfz70glqv2Y/8rPNGAP17rAR+Tpg3AjcDiFxHq48Jh+95j9zMzxBuFrhDBT8IYp1QHRzGdwuu/qXCsuLnkMjr92d+NjcDLgDH7yPimxl4qVEd+XzdIkjC59Y+8ecPP0akNmHzR4+lB84/LGg/VZAEjLcRm9++oPYB+2OHedei+7nG+qeE4w+83/Ue+f5Wp4R5LbyuAOz+KWL1i4MkrjWA1+amhNWXiMP3HkuH/HwlAPOG6wGpfL7pitcvS9K9JnBzgh+B8zvhXjgD1TmhGrjGpi3Xjwv8fdsXoeXzXFZcm3C8tv4L16ME3p9Q8/5U53IWJFf2pJ91r3j+fHJlX84rgSS+RxKgeUFe427RawPPiHrPNZQ8Xzu0vFYk7tvqnHB+y593S9nPbgGG+4TqxP3gFmC65mfyE+CHBDcB85VgXvN31j/z/vHs4msmx3scWj3TB2De8kxodjxP3Vz2gJ1nEi/ORld+pzrynibHa0mOn3Pe6B56TBhvuUbqXUJsgHktcIHrZ+l5LsYamNd63gSeWaHl+yNxL/J5cm0gAsuGz0P0mPcj8vpKwntcnfRZVcjnjVv4nGXR1wc0TqV8vkngf9WY+LyFz3l4I6jOwHf/1weEf/e/8Dl1HeIwMNZWFRAC4jDw9rUt0jjy51YryKoH7m4g5xHxy1f+nsZM8Q6oayBGpGn+u3gsbcs4HyNSiKggvHrRYJ6mCUjp1S+laUIC+P2zlH9fFkhV8b+6B2IEXFteQ+TVa0lVIc0L5HQGlgXpPPCCY4Q0DZMMAGlZ4LZbTBuXA/GyAmQRVKcEi23VCZCUkEQY5Fz5zx6SH/nn0ADY6oHecOH5kd+XqA+7AhC4gZbEZKJ75IIIvUAWbpTkdXEnLn6gbHw3AdNWF3qri3oG5hV/tv/ExTxdJzQvgmXNAFiddbHp71lSYodPsxPUe+jiB1INuJGHqC3y0ALLOsGNPOAukw9/LhvSkqN5k+AmBt/QlaC0rPl7Tr8fa/4cIl+zeREsnSYhdwmrD4LqBIy3JSmpTkwE7NnVR+RDyzYpDzTJG8jNDAxuAuojNzhEr0ts0yeEjgd6+8zgkROokwbrkdd9fuuQBOg+84BHAkInOLe6jkb+vMSEq/8omG6Aw/eOB9CJ19s9JMxbHojVkYdGdeb6WVb6fEdBs+NB5EceCt3XhON3guFesPklADcuH/ixFiRJeqgw+PePEaEVnO8dYgXUp8R12wqaPYN/rHhI+xFYVoKn/6oE5dAD9c7BjzX8SQAHIAqaPdC8VPBjgkTeq+ma12jP3C28ru2fHU5Dg+lNwCICNwtC5LqdrnjPp6sI/+0ZfT/B/xhxPvS4Wo1of1xwnmoMzz1u+gG1D3jZr1A/VEw0bwTtkwbRhfd2vEuQRZiMRx4XbpH8DKMGVABo9oLje5fXyeXe8iMTOjcDzT5guOU9bJ8Tz4+Jazh0wmcXNdk9JyThXjv84FDvATcnLGtBfUhYVoLQcu80U8LZcaHGikt26fn3Tp9daLkmYs09N10BzQuThNAIxjt+dgtyErj2kuPzqp8T2ifg9J5BHwIMb4Duq66rxNcLHc8et/BaqhPXR2j5TOdJcmIiCxMPN0EDumDeMLi6GWie+ewPv4mojsL3GpiwVnq2zRuefaJ72c6p6sgzUyJQHctnb3aaxFiS7ksCAC00zm+5b6qB1xkbTYYbTUxqfd0zk7HYaCJxLXrftLARoD4mRM/13o68RkgpgmLNhKp75rM/33P/NC8JIQicnmvJcX+FhntNkp5bQePgwuuPjcaRimsWwj/7kWtCFq7PWGmReSzJQNIzmDFHGLgByHoFCRFuuwFCRDqfIXWDtMxI8wKL0xABvIecBsSn55wkWMzMcXZZkJaZhX3T8DUAICbE8ZRjciXeI4WAFBOQ4qvAL23LwNzUgAjSeciZSFqW/P8UAsR7vtEwluBvFwwAKRFN6Hug7yApQeoa4fEJ6XgEnIffrMt7dx0fKjTDnssDXXr+mdm4VoGem8gPDFy2GJG00uoTqxkPHmwtD/H8unoQJBF4x83nB6DdRQA8vGOrAU4fphPg/I6B3IVyqLLyAJxnMpC/F3g//MggysNFmHVvubDcxIUElGqy1o0+b3QDOh7myfP3/MiNEBu+XmXB3pXsH0DeiAATBUQgtAndV1aRDKw8FFhZANEn+EE3sWMC5GYAvSYWkx5WCXBBMLzl60VfUIakGfirKn8Bxmu+vx+ZXFgWnvS6LeHZ/xbovhpqo/dtZFBPDkgDcPqGWf36Q4LEBIyC4R4IXUL/UTDeCFafUq5eRNdFdeamDR0TonrPZ7n6HDFeO1aSidX2dCWYt8CyFviB7zVdsTJZek0SzlpNXjH4SkjY/Y7V9+pjQmiBSZGjWPNhhFZw+M5n9IfPmv+2+hhL9Xey6+Vz6B60kp2AubZgKJg35Zkh8Z4vKyY9450gNAmrB8GyAYa7hO6RVf76A4PAcaxQHzRITBpU+oB08lh9cBiWFXbbFm50iKuA0M1wkvDjzTPefPMT/vXlDf72t7fA2aN7llwNL71WgQfen+ogaF8S6hOTOwC4+ldguONB2T4SBZq3CX4SbD9FjDcOPvGZx0ogkUGGyXlJBJaee6c6IaOClhDUewb3ec0k8vxGcjCb1kT5pi33RPuUMN4IIExyhzesQF0FAKykd39w6D8ldM8R8yxYOr5GvWcSJ5HIItezoHuKmNd8//5rgpt5XfNKMN1ITsQlAd2XEnAsmY6ee87Oq2VVPqNXFNEFJvLLPfdjs+M9B5jU8swRTNd8r/bRoT4C/UPUPSgZFYla6SfhudE8M0lb1gndF8loTHXmPkqiKJsmJNVJr1vP1FDze+0z0a7hnp/VKQpk1XZ1KAiVnV/jXVKkkWfMdK3o0YKCIoTyWugBf+DvHr9xmrxzbbmFyZ2hskQ1GE+Acq7CEyVIWvSJ/RdKEuangg7ln9MCJtYCeEUHlnK2x1UNEYc0T0jHE+AEcX/ISUFaZsZURcdTCEjjCHdzDVQesloxzz8eAQDxeII4QQzhdQEeAlzXMo4DiIfI+C2CSpoGmKYc0H/9laYJCEGre5cv6LK6F+9L9jFNQK0whv17UyOFyORgnpGed5DrLVBVQEw5YwkHfhCpG+DNTQ6coeEDrk5JAx0fklsSQi2QlOAnPtBlLZhWBR6zbNFNhMms4gmNBrsXLk4/QqukstgMVrOHnw9orwVWzczXzQo9hoQ0MBFxISGIIFWsciyDX3oNrl3SQCT5ezIX6iA2yPCjXUu9h1brgtgkpEqQUKC4ZsfPNdxzMxoVIJHv5ybRQ4SbCFqRTrfcCAb5R4W9/ARMogfqisEnOa3gFwICSOAByfMQzTOrj/ZZ8UgAzVCSG6vokID6BKw/sBqoTvwcVh1OV1adl8TPTTzURFGaec1DIDYKDx4SocvEv/efGRDg9HVTQv+5QIt+0grqrAFThDBfBI7funwdhAAZ/GPNn/UTcPxO8sExrwtiUh95n1YfI5ZOiIRMwPmNZCrIe1b2EvTvM18v1shIU3Xk/pm3gtDwng53rIDg+Ez6TwmhJ/Q63vCW958lQ8s5yVkBU8N16GbB/vcJq4+CZieYtgnNTvDyBwc/cp3VhwQ3W3BJaL/4vJ5WPwv85HH6RuC+OuCP1/j8bcThxz3+/ZfvUb1UuPrAZxNaoN5p4rdP6B8iIe3rCvMaGeWojynTRckBwQHH75loVUetbvVwXjrdcxd0iiEUVllXZzugE0IU+AU5YFhS4xQddUEpEaWt1j/zdU/vhXvMA4vC9qFPaF4ckb9UIPTpWjDe8f7Wh8TEXakfABivS1V+vnfov0b+WVGq6sSio96njNwZddfseO4Nb5kg1Htg0bXaPeh9G/n6drYBQPME1F4U+pe87t3C+yqBCKJV5s2e1ztdW8KviacG4nkDtI+KVgoQW8F4n+DP/Nz914jTW8eEMfD6JDCZT06DqdKJy5oJnJ1PRpfwjORrAppENUxUjJb0Z66t5LjXQgOkppzNoue8fS77P6B7dSWQjrRSbAvsH/Q6DVVlMZQYwGvAGRKWCopq60gWojluRKYKrBi9pIFSXZArNy6ICtHHYQCcZwCfF4hjfP11we2ur5BWHbA7IHz9CojLvwfvgZgUqkBOAlJMSKcTcAJ+jcpX7mqLNAwIzy8l+AKE5vXCXhECzsM1NdxqhTiOzC5WKz1RHdxmTZjhdCpJhSIOUlWQpiOHIcKf7zugrpCmGdI2CI/P5C0ioX0/cqMjczICWRK8vrQfU67mkgMQFaYXoH3WoOy5+O2AqfcK4XbAdFN+V6LkBMAPCX4CzncuLzyDSi27qw+E9uctsCy4qMoTqiOrg3ovmT9MjkE4eX7fKX/kVIsQOvssDBTQBMCPxjlxMc5XrGTbJ+Ume77OeMfDoN5J5uutsvcjIa95K6iPWjGN/PwWcJZOoVGFCy1TN05tWSs6oRtt3hhSwoREFlIVBp9XZ8KpQeHa6R75kJKBiRGrKx6ahH0ZaP2gmbQA9UFyMogELJuE5/uEzV+d8rqsAoc7yTzj1HMt1EdNAhIw3jgetImHwOoLK7EkTNjaFyZjyWm16AndkkpiQExOg1HD+9p9YeV5fsugxKDH6un03mFeq24AfN2rvwTMveD03ikHK1jWwOavKf+cBFadsRKErtALbgbSVg8YsYSI14ML7YsFmumGSWX7Amz+FnF+4zBf6brYa3BvNdD3JWjaWj9vgfGNQsMPF4lwzSRUUqFdmhfBOW7hEtefmzXRSuVAnCpBaD26x8hk3pEPBZiAugUY7qRoWs6KFmiCOa/4jGNL+qt95nX4kQnvvCZy0j4zMEpispAqYO6JMq0+RUwb3telBwDRBBA4fsfgOG+Y4HWPKScd85brdftHR9i+IlQ+3HN/1wcihNUxkVpwguG2wNUuFKqCe1ZyYCD6wOfhRqt49b01iRo0ueg/sZKPFQpEr+iJ6ZJq1Q25AMhYqIzqVNZh8shcdX0k9THccZ/Ve17ronsj2Pl1AZMnD6x/5lqPFddU9EzkQqDWBUBOgIY3fO9F398QV0A1E4pkUQcgOXBOV3rtZ0Oj9HzRJBgRgPLtRH0ViWj5b05he4sV0TPRoQ5G10DSe3l6TRUicX8ZiuYmpWhNH6aohe0JtwgQkqJ7+n1Bft4Sy72HAAivIisQA5JCtCkgF8YAIG3LOHt3k39cvC9IfASDEACIwLUtpGv1tVh8p5nUvFutMppQxeMJcb/PL2qigTRDhQUCf3fL6zscydN7T1hCBKgqIgIq4ANAMeCvEAVpW7jtBul0BsYRuFpDTgPCfl8yknIZiNsuH2SXmSIhIkGsWPETHiMkZoHFRIJLL3nxI7FCtocBaMVWga81leAfK6CKQPsSEBpye/NWMN4mzFdJA6tD88xDgge1ZsnblAP2pSARIN893DHrTBUXen3goWGv4c96MDRJNQ+lch7esHrxg1VEUA5MIeXKKA5NKAw61IonNAz841su8upEoZhfJOsDTAdhyUR1FvSfmIVbNh06UgPVmYF/uolwC9A9U7Mx3vFacsKAUsXHmofg0rMKcZqkUNRYePXUFZ5xumayUZ0YjJsnQrJuop7CBSYr81VCvZO8Wf3AxODw24Tr/wisPwac3npC+CpeJGogmfLoHhKafcR45SDOkCGtwlvN9uOleCphXrEClyWh0jUU9OCrj0wQmxcKFYdrl6s6igh5H6cryYeYJNIVhVfkey69oH1MOH3L59g+MwDZ+jL6wPQgMvNgm7ZAaAh/+q9MOiiqZWIIUIy5gLQFhaGSE9nVB66z+RqYbiP8IGieJXO3Sbhu651khGbpkSmxpPBos0uYrgXDnctwrh+oDZg3UhAvx4SnDirYUxRj0iq6OnE9TIlJ7XjDfVIpxNwcmCDPPfc4+XzSRMvKwc2klCQkRXa4HqoTRazLCpha7leDoNtHakTmKyY4EhhY7d6P96xQVh/5rMYb0T2WMkInmgT40ZDIIhgLHWkICSmL1NzEf69OQGtccy0Z2aRQmDSKIWFLz8SrOjOhn694vpkQrj5w3y1rpSZnnhPTtvDxy1oXU9Kk5kQUp9bk2VAXam+4n6cbQXVMqnHgZybNokmlFXBaYTe7kthF/WwmHpSglby70DehFHDLGplitM8lGsTjLKiP3PtLL/k+5c9/4u8a0mlnU2iY+DC2IOvC7GcAZKFz8sDSFEF1tS+Iami1QJ0sIeNaMXoKUJpwTJBYKHepG0jXIh5PQAyvgj9EkOYFaZrgppkF9svu1b/zgyjsLw5xmoFpJjIgDimE8j6rnto571FhnjMsIFVFxaGqB3N2cR4gTZ27BKRtgGVB2LFkESdAiDmQp3mCW6/5OqoPQAgID49ASvBNTaFD28BfX2X0Ac7zw9cNlm2DefOaP3cqRCH8L3CHhGavi7+iUG/pAN/qRtMqPtSsAgwaM1jZxEB+kLxA3ZwgzmAwj/ZFaYxFK2sHFaww+DQvJfuWoAK5PuXM3+BX2zRuESzbCIlMYuYNuUCD4+ctObbqrIeLik4YVJDFju0zXh0soUNOdPzA92sfeeCGVpW6V8pXjYJKq83mRcU7KnpBIuwlQXD+JukGkrzYh/uE6T6g/Vyh+6L3fJUgs8L9z8Y562ZRpXv/NenhxYNluuahWR0kUyMuEG60zBlAhv6qkx4WFxTC8XtAUsKsIsnmRVS1q1D5lsnL6oNg2gLRe9SnItyc16z+xltu+mavgW7tEBse4ob6eKM/tuQ91z/z8/gRQCQM71R57OZEREgD5LzRZGjQw6wld+0SE6XxGlj0uRv8uPTk7EU/Z7Mr3Hn3lagWUDpbxnvqQponco2xEpzfJxzeJTTPDv2XlLs//Jhwei+IPbD9M7nk8ZYV2HjDdTq8TRmlmq4YcGMDNE8uq9mNZ122QP8JaF8iYsWASuGswfpawW8I5cYqof8saJ5E1f4JqBjM/QCcvuMeAgSrj9x/wxse5v0n6hi6r6xOpyteo1vKPcldL5VgqQm/TzcJzTPXYWigKnnJaId1esQaWeA7b5i4VWeup3rHpIvQveT7aXCxm/letm/9pEJO1ShYgTEaz+8lizozTNyQ7vET79f5Hc8wq+ovRczTDROo/ouge4wZbVp60k7VmQJCiloZcA22TkK0oTrrmlTqys6r4Q3vS/PC360GJkvThgidwe9uSnrepEyvWiJqla5ExsfmpN+vSO+Ywt4SmmWVmHwk5C4Jf2ZyzYNOg7VHTqLgSnVulGHokDuEJNrnTIheMK+T0soUekoUBEUBKD5NcCJIFug7Q3Z+tU4UYc1nXCeqVSNdY7Em1kBqJRcLADC31InEvs6xFym+KsQtWFvVjkReP50GxtHIgO66DnEcIVVNNF1RAXbtMfjDO+r3ppmowDQjTRPiNKPKrQZVBXd9Rb4/UK6YMwxtGchfIVLNX5PDT/PE4H2RSACAWxvGUyGNE2TWk8N7yDQDs/L+Iooa8N/TPCE0rCarU6mCEgsAtqxoa0X0koOCmxLqUGCfZc3NZC1Fbkau1GPNjLF5UXGXKuLdmUFlWREydHPC0rJi4YaQUs36oqS2FhZmflT3c1NrkFDqoDpzsdQ7VbmD1SuS6hRUCSehcO32+RG5eeZ1UmGVCghVO9m8aDavQZPtUciVtolrEDWJaVHa/C420PmdttgcNHHqSiXfvAhWHyuItktaK6ZoEBreclNVRwZf8qtFR2DwWHXU5C6VjeJHJgFRACjsGPqE5qlUPdXZxJBsvTORl5u1O0KA8VaTMuFBkyuOa3YRsGJQXvXOwbQhl1yXVfBGD7VPPIibZwbYeSWZmhre8PrqoyagE7JAbd5KrsbGW/L+1EPwWVNcmiCzVXTIXSyjUhp2AO5/xwqx+8prkyi6B5AT0fE+YTkzsM5XDP7N7vWB2OwSNj+Rtnj5Zw3QwvvR7Hifx1smdtu/8Dqqk6B6VG2GJstBtSSrj6Q8jt+6rID3I/UglpC5iWtw2gqcUm3G01aqERlvCP/HmknW6hMRDnLjuieuJAeC+qAJvirwDZo+fksaYF4D528immenaBf/LVVA+wB4hb1jzfVm6F7zwnUF5a2HO8ltcktPtDGqWl1GYPtX0lDzuhQWc8eIVR+TKvFVtOfs2SGjlqHTBKYSRFeCPxKw/oXtizmgVJYoMHm2tbX7HZPW/lPi/VZ6KejatULAdE2WdMxbZJTBEDOjB0NHdCw53qP2OWH1NSE+Kwq2ZrInEZBJhaaa0AAMvMl03UK6tNYkwAo6N5e962ZBCjyvqgEZwg/tBYp65OLL7d0m1FNkIjnrGCvUKRMxFfdFKchLJyp01iSi4tlte5CVup65WyZAphVDo2fkwGfj5kJ5WIt580I6yIorIrZlH8ockMQBSUX4F1//SJMn2w1k1cOPI8J+z8JadXmZDlgWxGEEUmTwB/KfxXvEw+HiTRIq1zFrgHNI04ws9ut7OO1HBADUFYCLjAUowR8AYsjcgngPpIR4HrS9LwLzTKGDCDDN8M5nnQHEQeqqvJYIlpUnZKawVPuU0D1rRt2Q97MHO5vQ5U4wvCFs2T6VKjx5IFj7UeBhsqwVJlUYrzpJ5mfYyx+xtILzncO8NRgy6cFeFqUfkHtmQwfIidx8aIUCMlXk20IzMcx8nVDtWflbgA5tqbaSLxoBa6eTBAx3hGD9IBkitkqEO0Jh9R03d2gAqYFFWB34s1arC4qngStoxXTFRKbeJbiO2f7wtij17fPMt1STNzvBzb8Iq6zrBIkOsUkIXcKgvLi1ICaD9BL7by3ghi6hGtiZ4SfCsdM137N9IBTtZmoqqOLmRp63fB4uMCixB7pUONUAIPAzhVbyekrCaqg6lKQkCXB+xyDePCdu3hMPErZ0SRaaxprvZYI+gy3bR0LN1jYFYVUbvUA04QqTtlBeMUAuevDlQ1c1H0ykCNlO10l594j1Xz3a59L7PF0xGYoVcPUnvnfoeWP9INj8xENo2giWDdfucCfKbyvldKFurg/83emaayx0KoRqiKL4AQg9A0b/V372ww+Ey53qQwiBayB/oM6jeUlIFcWOAUzirCti93vB6oO+7w3XmYnOjP7oPyccfltQgNCRNrGDGmDCHz3RsWXNfdR9prqdVW1E/9EhglWdCwVd5MEuBb0CueLpmussqQ5iXpczYOmBduDaaF6A1Zeg33eoDwnDncNwT2icz1Yw3KnAU/U81pJpAtbcTdRwXzQ7IhXWelydea8Xbc8NUUWhyQTNkgOs3UfzPZCFe2JRVLV7pIh6ulaK8b6gmdUJaB+LyK17SpCQMG1cCcgquAw9cjsuhEWX9eVbV1N1TplGAzQwDyVhMqosVtz3huJZi69XitJgdKvY5yuUhMabwJmiT9ONWUcNRMXOC1AtRovwDAYK3G8aJqMf6I1S7rMlqmzn1FikSAoSz6rqnNActci4lYwQmDA3OSA1Va7kxfvC2U8TIfuUWFhbMI8JmKwlImmrH1vx02UsthgteK3+P55xKQAEgAp1DYSAdD7njEGammgAgPDlK9K8wF9tkOaFLQcicKsV/Ls3esEzME8Zyk9W0c9TVjEaT+G3W8h2w78vi36wifoBpQCq77/D/geP0CfURz2gFj4rM1NYeh5wtkBs0fszv2dB21o6JBUIZ7ouApokDEaxSqhTaQGZbNHAIB5Ca04XgVERJuKLNTfcou1xTmE78xlgmxzgBiDVguj5gEJL5GG8AZLjhjd+vzorj98yQLoJ6D67LJCxIF7v+drTFjn7nK41qejJ1/tJtNLQDxVLtZe/lCubrxhNCf8BspR7YQcfM27d7JGf2RAbWYD2iYfkdMOfbZ/5+eYrPbw8K1nr0EgVILWosYtWHzcRzaPL3N94y+uvTkBS1KfZM6k5fSu5Y8S+/JnZu/NMfsZbbl7rgXZLQvegm1sTxeaFsPtwL1h/iEjaZrr+GLIvhQkck64zN7MXvD4nVKNgVgrm/Fb0PiWlAPicY8vqLSp6YjqP83se6s1e0D0w4CZBRkAgnkhKJzh9o8nSyCRhWTFYSaBq3roJkkvY/dblqjzW0L7+i0rlmQfwcAecvhW0D8C8pTGSH5Ui0aAw3ZD+ihWvo/+SciLsZh7yqQKST9l/ol4YNMcr/fsu4fxecH4rGVlbVrzm7is35XTF+7esk7ZcMTHwI9A/xvwsTHQJaIuu6YIUFamPytVPQPvAveOWkuiYXsItREZCJ1kQay2F9nV6p0EuEcGqDxaoVYw4OUxbwek77m+a+djZkzQAk+uft7ynloTMGz6PuU+oFc3xk2C6YhJVH5kwGD1QnYE0Fm8QQ40MArde/ctAZq2dy4pBNjREqQApAdkozlbvuaJlNN8S1CdqFM7vpPTIJ+Qky9oxs7hTk0KKtwGoqBFKEWRTMNViVSetypsLZHcpSXquzgeuJdNZWYLTPpU2YWhhZHRi7tjZSu62ApgsJq8I8FzQhkxn+BIvonaP0atE44fy/E41N24h52F7xBDrVJGOFkVel00Dr8E6zVM28WFLfgnU/vqK7fNtA8wL4AT+6grJ0HY17EshMKHIBXpgXFXxp+s6SLdlJ16IkLqiBsAyCYjA9T3RgOMJ6XzOATzz9Br8EQLSnnBCOBxJB2gA/3WWIVVF2D/zEoLUt5BDeO1UpNlQulor78rs2VriokI07S4iNKqQVajW+FK3mHkDxUEGNZJX5QIwDie7PFUMZvbguaGYxQFFzSxJK9Ozio6GUkWbaxyE7zdty3tl34K5IAB+5MKoTpKrbxOjUeRUkIX2QXJ7XP9VlceqyLZMuz4m1E4QVIDlBxR4HBRajdfA6d8ktE+C5pnJAUWWuDAVYQBJnonR0kH72YsGoVK1rPW9GopR7wWpBtpn1VQod+5mwsjDm4TQRlRHh/oo+eAyHg1aUUPYl7z0RHNixaBpToihZbUz3NOHwY2C8U2kEG0viFqdzxtkxfjxx4RYJ0hwWW1PQx1W0avPCe1PCeO1Q1wpN+mpz5ivgPXPDs2BSvrQSnbta5/ISZ/eu3zY8bX5b/U5YbySnJh2X4uyOHR8htWxrEUJGmyP/Fyn77neDL0w05zuoSQy7BbRADkwgfODILYpO+IZBbSsE7pH/nn9E6vD6YYBiKZGen+fXW4fC40ebDOr9nnD915r1Z41NeNFW9ZKkBz3btKKWRSNcYvkYCQB2kZXkL7zO6U2ajXLWiWEvlAhdCZk4KoP7ONf1sjdP/ZsjSc2jcvmp5RhZeuJt7Vn9IHxt2ZKhQT0n8gTm5OiVa71js84VoJqTDi+dzh/k5gcnEWTDQbu0zvJ/g3n96R+mh0FefVB6amZ31t6rgs/ECVy6gIJIYRuZ0jotN12EgxveE3tIzJ95lSI5hagflIIe0JOHK17JbRaDGihQmfJlNEEtslJhrCtijchrESlyLSLJzRcw/VJEUfrrZeCBDoVH/I6ePRHf3EW6LmdvV+sldD+virPujqXZGBeaxKjPydKd8qixcJEzZghn0vPQgcoVT2ArCtZOqFWx2ha3Ufm2ujP1jJb9Grz2nFvLnr+aXJg1yuJz3e8q3H1/h3CwxPSPBEhHwZy/ykSFWhbNfE5I729YfyNkcL74wlxGNXwRzvqQmD8zt48bMGXtoHUNVKMwOiQjmfE8xlVDv4AkFJW8sNdyB8vviz4x3EkcuI9fQCurgAnSKcz0QRHlyO3WQNtC4wjKYG2RdquYI5GOWkA4G+ukaYZw3dbclMLg4u1w1hWJUkyXCrKndliNehQ4gWHq5vg8uHGGsAM9RaQ/H0/alD0mrE1NEyRpWS7fioB0w6vS57SDwlVxY3sJnYULCtdxFV5HXPEq87IML5TyqN5KTRD7sM3/mwBau1drQYu9v3vAUQqytsnLrbhTYGnJbAKbZ8c6h0DZ/ssqPfM1s2kgyKjcngsK4VuByrQ2boFwEkWEWXlsDCYAdrPnKCuhwrTphIgzT553iSsf6EQzvwU5pXaxJ7pkhdaJo528Cw9kBaFx6+4ubpPLm9Sq6pNNxB60i3LGmpExOTw+b8ENn8Drv8UMV6xM0ESD+xFD9fNh4jz5HD4UVCdPOpDyq1Z1fGCk1XY2888DNkZwI6C4U5tcm9I7ViwN2GXHY71ka8zX7GqSA5Y/cLPPbxJiG1Zp0vHQ3u+vO9KsXRfaMgkCyv047fs1672pFTGG+0t97R1Tg7Y/JVBnaZZvA6r0PyEbJhSHyQHiXktOWjb9VqATT5lEVizSxiv+frWOTPcC/rPCdUZ2P2BNAgRNNIB5/fls7qZwkfbe6e3HpIUIoZg9ZmVu93LqGjbXENhQyIhZ61K2+eUK2X7LLGWLPqr98B4j9xGa+vG6DbzC1lWQk1DUB1IpQm98r+pIv0xbxM2fwOgjqXtk4r0tP1uvGGS6c8MmLPRkmf21u9+5zBfMRm2Ct0Sp+GuUIU5qVKtkfkamPukoXfUETERoPcHE8X2me9fn0q1LU6r91QKi+6RZ0ZQSsIPpC9YCQN+IYoVOmSLYwvmFvAlAEnREVnoGricqCGwdsTVh5R5ekMxzHrXTMWMYjQqzzwKcoBfI9N4hhKHjeQ9awkCEv9e7I01AbJkQWlFEwFmKnMFxJbnVPJEVLKRkIoj5w1pTT8ntLuIWLtMU6ZlgRnwmXYO5gFwAfG7N3fAaaT97+FITx0ngCUKFVvpLY4jJqQwIZ4V9j/QERBAQeUBJgD/8CsWbNg4BsSAeB7gmlodAtUUyAkwT4jHM9Iyw/U9pKoQ9nuElx0gDuKEEIWK/2Sh2NB1zHDSPPGDhYBUuVxxB4WFq1PKcHXoSrC3bMwOrOqE0jIoBRoDNAjF8u9uSrnyMaMhCci96WnhBs2QamJQsvcYb7U1TYVt5t1vZiPWdpjVwj0PoupERbEktoZIAs5vuWmaHRfe0pf+cYO5QgfMlW54XbizVuDRA+2OkGl1ev3+433KVZfx14XvlIyQoFM4WtGGJFQRLyquG+5VtR31PjrLulMWpE1XCf0XyQey3bck0H7y19QMneu0Et4jq4TJ16XcJ8+Vy8/UTJqkzExMKC5joLe2tmXF12EiZb3abOUc7rWlb1ZIvpYMl3dPDErTloc7Xd0E1/9Ku9fT+2L3mzxbzowGMEcyN5MzXTrgfO8hgWsIoHLdlPtJP6tMPH+mLYNT/5lrcLoGVp/ZulgftE0safC+I09qB3t1IkzbPFtCwMAzXuvMhkFy8KpP/HxmpuUmvtfmJ96b81udpbArQdUO1PFarV49stve+X1pV7X2Pz9K3q/jteSuAmoEmAnGStDuAuq9x3SVMm1kqJ13kjU24w11Cybyqs4MWMcfE06uePv7UavBHpjumLDWByIv53eaYG6ZFAz3ZsZFusArDdM9aDJcEwUwmsP4/FQpD5C490alrKqT8P9HYQ+9qdBnTeY+RRy/cTlJHW+ApF0xdv+YmCTMdxHLk8OyoiFVvSveIM6CaASO37HLpd7z3sdGUbxDEdna3AdDKqebkti3j4KqZvJljqtWeNhzoI6A92p1oneDHyzAaYGyFmz/FmiH3F3QbCrsXfRsMedBo41Co8XMytA9yUjadCPZj5+tffqZFmS7X+u0sd58Qxj8pPqAyGfUPCnK46jV4bklme6w4jD0SQtGNaGaVSsgko2MDL2w2COBnzGllDsuzNMgOQZ/SSknuIbuVOeINJZuO7dZMwaOY/b2d+sestkgrXskpxT9NBOBnxeY+Y80DWPsMCoCMGVUX+oGSPEf2vxX/zj6l8APtfjFNCHNYPDve7b+zQvfGKDZgLkaGYoA3jgL8oygfM0kAhlGQhVdywvUG5H7/kceFlY1GVdmLTYQeeUWZ4EldCoae0bOXCUa/5mAWLyl/WAwP+Feaxf0E+DVic2sLN2M0lNfM5OPtS6wXVmA9l7zBloBadXm1KdfgOEdABRHrv4zD4nhTlQ5rwN3DHUY8YoKqQ+cITBvNCg+U93q1Wgot88dSSHEmtXXdM3XY6LDQzejJOcCdbGLgp9l/Qurp+k6qRUwUQYk9vwDvDf1EajB3l9T5kP1EGafHCsmCUa5WCtZvSekH5QDjQ0yd2vBtn2yagbZTzw2/Ax+BGAeAPocVr9Q7GcDh/gcSmWZ9HADuM7aHeH6ecNEjB4QtEedV4LzeyZularBoQkqhPqC5oUbfbwlOpI8raSHe5c/O3+GiWVyKtozodWDdp8kVQ83wmpXkZ3VF5rYDPdEbsY73h92ghQv9u6BGdeyJgUiCVj/xIOMHvkR463H+R0FpQDv57Rl4tm80Gxq3iZc/ZFw+XDHxG684fOqBiZnp2tzUeSBbVVirBN8oBiXSZP2Z6sZDs2wEh7+Gw8/Arf/kvDyb1R3MjCxsSC0+pBw/BEYIFh/SKgPvDfzmmiHBYl5y2tpXnhmWJdOrYlTqhLkJLmTpj4w6CMC061aYh8ZENrHlJNX62Kp9ym3/5mZls3EiC2wSFKDpZRph+6RiIa10NFATJ8zgOaRCU5ogdO37FjwI+C+eMgMdF9IiUzXvF5DEL0mYS7Y3tNhUYtWqHbmKTfuFhS3QyC31Z7f85rN2dAFYNRhW80LtR7DG0H7zHPi9F3KnVBLb3SlBu9GsLRM/s0nwNpoY63JyZFJrz9rIZZ472xA0rwu9E2sQK3PxXmEBODic89rFmrJmxaDz3NZoVT4taKvItoueqHWX4BKzybC/oa+aNuy+rNcmhaZSNS0CTzrRRMzxoyknz3UpdCzGBVaQGogdI5BWb9YQC+QuoFb94Tuu45B/DxCphnh68OrCt6Q+iwGVOvf7BDo/avY+urLeVS51/AffKVlIWIbaExAbE1Lt6rif9NMrcBlZnEB67u+f61qnCfIyx7x+QVhmoEYXn0gt1phunK56jB1Z+H2ChToB0JX1sdpi0ai5Ozdft96e9NK8qIw6J8bgj83XbTeWceBDXaA2ANFNlKBv1h8+jpIgItl8QN2kEGH1DBBaZ/J9c6qzrZKOAr5dFP222sjcUP4QU02tvz3aQuQjxF0n5G9wZNPue++GpCVz+bjbfSAH4EQCTO3j5K5ZtuQ01aU9xedvkWI8/idQvABWCoGndWnpJk6hVzkNZE7IbJwckI27Ih1cSpzi2DZJLR/EyIbVcnwh/vLjQqFn3kwhZWhMAxUHJqiwW0ybYUOjmrKhrZKrNkJjWMWVmoMQDwApy15TYMaoa08ubUKeg972u02L0y0ljW7ItrHhGpMOAeXjXL6A7KZiRmVXFZTNtip+1L4yOHGwU/KtWpbU+iA07dMJlYf2Bt+fi86tZDQ+XhLxXx9JMI13Dq6PB4dVh/I0w9viBLl5OkDX//xv4uojuTBTZ9C7YJg3lJ3YRbWbmaCc/6G9IObCAF3DwmrrwFz7yjgVerAYH4kbccE94MZuNR7fm5DWGKNjMAY3FudKa47fcvWU2oQSFPZ5NB5DV7PSMpj9ZG2z7aH5y0/r7UEXwp73awQ8kIqqtkr2nJNpbmZWJnXxLzh3rYK2a7z8COr7fWnmOcMLD3v+9Jru9/ktCgpfHLoTWQqr3hzGnsp0rPhmjHRsFXwpqcxisCCj5v4nMYb5GIgOdIesRbtlGFrtDlQGu3kT5INfTIao7qE8zuXtUlGW453Ec2Lg1P6JE8qVK4/1hrEPdefLAW2T1UZVmQoLd0d9cw+ALXy86JnilGQ9jXeF1QzdED1DHRPEfvvfdbGmK7IkEZrI7fEoTpTz8AOLeSWaTs/7NpKizHYCt6gGLWpCDTWyLNHpo3DdrVCMLtf7bhL84R4pvlPPBzgb24gN1ekBKZfxWqNs/F0gpkAibN9FZHm8OrH83yftgHEoRLvIE0x7UEMrNo3G40+AYiRzkKRoj2ZJs0wOELYvAT4DsKOgUDIwS7YhhmgbpCut3AiwMvuNVoAwL1/i+HWZUOVVOnNixcHbcMMrjprK2Cr2b4qwCWAwo0GeaCJoQQmLvHakmFcjlO4v30ukwW98knjfcp8cvPMg9Rp3yuNNZgVW4vcdIt8AExbPQROhLfo0lUy7umquKc1L8jIRGh4WGXYNECdqRJSL/AOudUnJ0kXCt6kGgavsLoJEE1168+SlfTJm/KftEb7WGgBM6apj8he6skBhx8YLNrH0pNLIxlV4U4qeDOxjvJnhthw0paOvt3y/dtHyW5c0zWKxbNnF4FNNAO0SnvWDF/1pyEgVzP1ETi/gQY65MmKwxtWgu1jycjnjXKgT3qoqXIX4AHszwlVJDcLKaJOPxXRG7UFar50VcRWS8970j6XHunxVqvIsfDk5uoGKGIyQyFlctlmrNR/QXaIWxYzuCkGQkh8dtM10ZGCmHG9rj9wI+3/wOrZWgndyD56NwvOb4nsXP1rwnTjMN1ESKI5yrIF+o9MKrZ/YkuYicGWFYWjWbjZAMMGWP0CnG99map4ItXBgCUYb/VwPhj6xxbM07fsArLOhe4hZXSmVsrD1rPpaKyX3Y/A4oCrv3C8s6F0ExiobahSMgqtLvCxW/QZKjooWhlDUjE66pk4rH9OqH4hzWHDoc5vE9pBtS8nYP2JKFVs+XPjjWS43UZh8/Xof2D6m+aFwXK+Stj8hc/PTwyYseF725wIc0Rc1rzm9pFriZA0yrCbTs+lawZYKzT8iJwgmmZg7iW34zbPPCOrM8/J4V5yYDWK9dL1T1SQWp2YeBUkgO93fk+0w3Qm9ZGJhQm06yNRHLM592fk7g47E4x2tY4oo1nNktvaQxkvCoK89D63e9NhNWG+DZAuoF1P2B0atH9rKPA7ct+F3oJ8SdztGVoiLlHgUqLp0T5l7w84FbO35czI2h9rhQfR9Tgw/l4WxbJeIXUNZBjh725pBHQRb/OXGgblmX7Ow626/G9JaYM0jsAekLpBJV2LeB5eowAp/Z0r0eVXCgHSeAoCnQAmNNCvsDtAVASYzIbQ+h1XHWJdXYwRfo1AhPtths+ScGwqDWC4+UyE4ZbismVwj4lMTDVOgxPkjWB94oBC1IowLJ22BurQEbcAiyIEzS6hfZA8MAeCrNgljwP4mcHfDo6lJ8TNPu6y+I37MqVxblE0IYqKqIxGWP2sfPZaf79GzpJtGI+JawixaWvYhPz+7VNSS+Tyc6lK+X7YYA0JyDMELLttdlz8400RAFnPeOgI5VcnyQrbZke40g7XpQfCiuKz+oCcyBgnagd4dVJ+/g4QFdfZ2NhM6xgKo7zrvCGdYvMTCP1qEFoXlXf7pLD8DcWcREiUJtkywPizwM/khrvHSFTgutjzVtruU50Tzle0T179QlMaZ1X7Rt+7lxzU7Z7xeSScvqF3QnWm0DF5zjIw86L2iT4D53fk+7uHhPoU8fJPHkjA3b8EHL71OH2rOpIDqSNTzteHBElSBsl0yEOTpi2w+ZkVyvmNQ/MEVeXzWbRP0OREN2JU970ZuP13kqvV/pMgNnzP0AuOP0TqEwbJcHL3wLPAXPqsJdePRKKSBw4/8jpNrMakLeH5n/lzq1+oP7GAxQqU17H6mHLXiFt0fK7qhCxwkhMXHL7n+/Sf+Vyv/hZx+MbnRFYSW+9koXOkm+kuOtxqsF0VJMgQw+kaWDpC8uc3RBJcIH0362ClZsd7MV0Dz/9kG53XVB8KotnsuY5jzVG95kPgR97/ZcV7bkI4N/Oauwe2QybntFVVz6Ag+b3MKnq8QbamtURxumbi2H9lUjrcCea22DED/FlzHB3u+RyaieefRORCxarg7oHIiLVJozbb5JKo22drH52eNaXyrwbtvNBzOnqdY6CVuJv5mVzL9wBK4mfOg4YURQ8swjMe0ARnzzVr55cc+brzO4rn/OcGS2og64j59wPGY43VX6rcXWI0po/Ieyx0yJ/P7juLCCazppOIlcDPOifCs8gZrwW4vwW+PjBG/ecG8o0TJATa//4aAfgVp//qK4Y8KfDyy61W1A6EgCqFmAV9CKG8gQXuFF+/ifNs+QOyaO/Vv4uDW6+AGKlKvFA4St8jdSblXv4+8QAgE28CNxVfNzQlkNsX59lLFh25RbNcg+f3ktXvrD7Zhnb67YL6esQyVnCf2yz+gWau1l1gQrRFp1pd9vSb8xR0sxiXNN6Ywru0bV0OKsr+/I2OJtbXMEtJKA3gZ5qvLGvC6CY6a7U9Z15L7rFetJMgtKzisipdv8Y7QpsuEH0gx8lNYHxnFELppmpNFV57XWtAh3JszU59s315LtMVRVJuAlJfMuRGIfrpBogVR89euhzaYJ32BRciKCZw9aEI/JZVyr3tFF7y34IDZFKthJTnE9Y6HbFjJd49JsS95Ney17Ce4VDz8w23hOkzatAUD3qbStk9l4FAUQ+deqeT2Rp6zpuafLpSSDMI1j/xM4y3PExmRQc2PyVC/FpV2QjaaREcv/dIAqw+JUxbBz9T9AWnCZaiNDYjIHkmUcmpP0BX/BPMic5QpktDI/pjqAZgx2c6r5QTvi6VYPLA4YeI1UeXE7d6x0VQ7zQJ6xQpsW6OU8qoh3WaLOuEKnLNNc8pewGwW0U7MXRtt0/kUOct1DjIZVj6tC7vwTHNTA7MDbLeq9//mjSOC7y29ilpZ4Zg+2cmibGyqXkliYXj2YBEZG9RkyUmfUxuDeWjEr8M+8ldBsdSANgExOaFSVuqlN5oiFgYCmF6jWZXkoJ5GyGBVMe0BZ7+2WcqzISFoUamCW0eQbPns1xWLBAy7bdKMLdTt+i6CGVfkuvmc+u+8pqsyMqmaZpYBCuYnsv9qQ9MYky/YLRkvS/Ujx/NNIuokwnqstVy4HliQ3dM50B9U8pn33xjglWe982Luo+ukds2Zy0KfEAeknb+ccHm7oTTn6/Qf1LaauNxcjXe/OYZX5sr1B9r+JFGUIZmGjo03bC48gMgNQBR46eJhzu9FhSZrQWiBblREsvdGq5uWJ1fdOPleNi2irxHmM3v/78v1/FNMjJvKIG5AV44BVZpmsCWgQuuIEVIZVyCR4qJEP488RdjYu+hDR+4/Io0FUohQKoa8B6u4s9IVUFOA2RZEB6fsvXv5df0Zs1FuzOff1ZNFtSSkzzK16ZwmcAKFphdgfYBVgfjDRD/zQlX/YTdxy38wSFsA853Ed3fGvQfeVAs6wLDe83UjXc2mDCbjdSakS66MAPgzhfc+ZWiFcbHgZun2WkAPiWdAV4yV3MCO7/jz8Qq8WK0DaYdWDWc30jOTE0lm+H9US2Ob8ps+Aw5adJhPJcEoJoL6mAIyXTNDdk8s4p0c3EjCw2FM3wg9CZYVpqszKQdgCLoAdit4DRbmNeFCqj3CbUmaAbxizCwzlcXJjUrVvnGQRvFEjoe1tWR99sSo/aJScd4F9B+9dptkPIaMUrHfBpiy15zS2rM0MmoI4Ohjfc0OqUayrMdb+2QK3B0p+rx2KD08D9aYousHzFaxI+GeJGrlMCK2zhVowlszdcH2tuaet5GNq8+ppyQbv6aAIfsi8FqlvdZIu+XDX9qnyS3O7VP/Fznbxj8Lej6SWexXyH7WOTJgEq7VWce9ue3dChsdtA2wAQvwKDrh4iUQE6JBlCbiNRGTDdODXO4Frd/Ttj8x4jzrcu/Y3CwidG6rylTD/1Xuh9KAvovAUvP3mzMZcbC0hF2b14ozDv86PK9X1TnIAGAJjTNC1HC4Y3aMet+8qOeHSsVeIWSPMQ6ZdfRei/oHhlwx3tqXZbEVtT6wOfTnABZmDCFPmnCpu54R5cTxKVX6mxDn4ioyvL2Re+HFn60DCelMi6Sp+5VA8+X5BM1IarBMSTVzQXaN8Oi8xsG2FqdVmPNhC3qvqbpF8/BWkddUxcixSxNk+5LZDb2CTio/bKUs8HOMvPJcFpNm/ASUbDcmyYl6bmmlJdV/nZOtMjtgXmE823C3ffP8C5hOhULYIlA+6XC1+oa23cHHA5XaF6IwlkSNF1fJDFa6Bn9ymFzkof+OOuY0GJ0XpfBYqGv4OsKUleckjvNrybpivdZa4eLGG0FdR4e1LaZNnhFyQMloUgBKUV6/ajjb/VKgNd1QF3Kx0sO38QE4j17+70rL2zihV9dfJ4saC84jqhWfX5t8b6817IAzmO+8oXPaYrhTXKiaugEP+tgh20JbDaVzER4qKBe0Nr29W9O+OHNM355vIY/OtQHh+roML5fMPw4QULDaWA7jmWdriX32VtlDCC3qFjWHlrJDoUWHC3IZHtKU6Ybb6XtgEkhombHz2ABwQ5g64E2v/zQqD98UG5Kv2JFERwUljP/Ajr9SYbOzVPADzYFTReTog+mMGaVwkw9NsqDDxacpLRWaoA02M/MRKZr3bD6+e3n3FiqzmavFax6ajfPSTcnq/X+q7Z/3erB9sDqdFkprB904+shvCi3XA0pK3wRaWgTG+5ctxC+r86lRc38CSZd9vWeidl4rdf1QgFfaICXPzi1y+VrW8eEVROLighlUV59JZlmmjelw8P0JYu2Ty4rHqjNCw8Ia32czoLmkNji2IHJcFsOtGoogrSlJfQ8b/j+RAbM6EVoGAP+2+qBCWStgjvr7/dnZHvt2PDe1yegV6//WBHOb55NGU2XOqOGRF+f6AMFjMMbwelbUi9uBsb7Qp+ZUVZogfMbJhKbP3osa496z9azVKnS3+msgiONXM7vRIN0QoqCw29JGXQPCUslCDWrMFaIDFTrjzTrmbdECszHPleNCpnPJn/SVtO8RwDAAf0XVq3TjSYbn4qewE8FdqbKXbLhkXUkQWnLSoMeraq1cLgCkHTvRu79uOjMDUUcz++0W+IMzE4piKkkwLaXhnvBdFuMpIx7Nv8RQ2TsPLPzw846Gx9cjeoEOJBiMG1UrMBBN6pxskKGVsZcV+yeQJknomeloaI+AHIo81WyUZoWTib4A1SDcEwUFXtN/rW6j4JXCIPNOYlNoXtjWygICLBsItbNjKdTDzdK9hDI/P7BY7qpgOsZ+MXTqtiXJDtrD0I5Wy0J8AO7bQAiYtSbaRHlkU3UUiVFB2dCvksEoKqAmyvAO7jHF8B7xP2eAv2Z0/6k6SBdi9Q0NNtThJ4DgEqboRXrUV1/xQm7ADjUJ+rc4H15Y/v6Fc8Q93ukEOBawvkpRGoBYsrcfjYY0jYFv1kD379H6Bq4wxn+zRu+2LLQKwCAv77C3DtWX0HgvA7I0GrNJsUtFQWA1Yk8sm3eWEvuhbUAtawEw78Z8M/ffMF/+vAO7i8d+kceftO1YNnOuL0+4uXTPQVtVeErCZUxoCChmGNEvZeaLS/WOaACFrP/nK6g7nM6sSwAwfPAkaAT04zX08qDkwZ14x1LNWkCRlZyDGKZ8jgj2/xKVJCmQj7I7DCyVqDkpIgClYIwWM/gd1MGW+8xEwNNuCpC3jkJ0eTBbIZN4GgHvG1eU8jSkhfZFIQaCcFwQ0FltEl3B2T4rFJh3/Am4fAjD/vqhDwbPDkenrFVcdJJNRvgARx63vP6wMOhHkyFDeWiJV//0rFKn67Z918ftDqfkCfWLep9Pt4q+nKBClUGc3dAdwSaRyIo0xUpCwqp1GNB9S7kaukF0X9KCKo7WLQvms86YfVRuxI2F8/hgFdKadsvECIybkK2O4ZqLwAmJGwVS0CnA7EWQf+R/PC81aSmBoaOFevmrzyEz+/L/HqAnS31kQFYDtCRz1rhS+nI4VrTzaSJtYmrxht2cJihjZ8E3c/IFcTxW4/+Ky2X5yP918OZwsKoB+u8pi1zrDjRk/MEKMALbcqjbSHs759GwXjHJKn/GunZHnmNxvsvG6hOQ/UIgI5Mtk4FlGRqA8Rr8varjzSYOr/V/X2UvN+qAbmLyYZ9DfcUE7ePvF/Gs5t3hE1rJB0mF2LRlLuVACZpbkmZszZ/FDclTXhVPNmXoU/ViR0OlwWKm+VVgm9dF6ZhCZ22K0cWKrbns9boouugOpJ/n1c8X9wopbjqmWiaOY8hTdaOnYsqMOgH8N6RNiKlaoPRTEx9aRw3X0U0Cw3QTN+ABNQvDp+et5iODW4ekPczYMmRYJ4qpMnn2SJOEwRDhI22jA2wtLx+CURpqyFhUbq1OgH1sTjYzmuu2/0PNd794XeIn76Qr/9VrE0pwY0TsAQkHaZnEH8KscTZy0Jelf5x4PekZkCRpobUFdsN5wkpApXru8I/eE9RnvUR5olC0a6mUAUpgZOI6pxp5O+L42AgNSIwa0L3tIOva8Tnl+xkxPZCfc1v3uD03iH0XHxRb5YfCucigYdZqDWbaXQRrSXzM0kU0o0UiUGAn1+uER8atHvjJ9nC9t2bZ2yaEbt0z/7iSjM1zX9MqJcUiRCjabTajy0Py6QJQTWWdpL6wGB7WS2bCM6MOeZNCfi2oMmtqqhMDTvqF0Gl7T8Gu3rtV5WAPCTDYG3boP2XwrNbxm/8HQWK1iYGQLgxmxd5NQcbQIbtaIHKKnm6YtDqvlKAZgI4c5frvvB1zTvb3LskAO2uVFfLCkgdBUdIDDzjnfa+fyxtYRIYNI1COL+jpoDJHzBphnv4TUJoE0WNdTkITNRoGTxQ0BZLJMY7JiP4nCALRXVsG5XSFlqhfC6teKN2XlhfPcABNuYGB5Rkh4ZRCUF9LOrRKjIpKFFD8Vk+CKqLRBClq2He0txIguT7bFPMrFOj2RVL4OR4lpoNcf2MPCmPw1oY3JsXZJTEn21d8TAb3vD/7YPaOVeqZo/0y7c2W2v3tGpzXluyqsp35cM9eP/7T9T9RN3z88Y+UxnCNPeKQOnzsKSte9TRzULhn90fm5URIlgJJ+65qGN36xMTgaUXDHcuTxxdegr5hnuumfaFQXfeENGTQCGdVexZOHcElkiEISqdVO818CfAnwtHbup7s+KtBvo7WBFibpZo2SXjv2iSOki2sQ4t0byworisfrHEVJ1IR/1AQiRvrlRkuynoWftU6MRpS2THj+zCoJ1tsSu3mQ/JqUHRnhw/oEJKpaKMnmp2ei4odXtpSpUc14cFf0OPYk1Eznr9LwsRSy7MI6U6ArKUmRKs4BOg5lDJs93VKvZGkz8/qM9KO+N2e8Lz+7eod5LvuY2JH38fcf1+h/3THaqfBQLudVIbpB2SK34tnKnA78+9Qx6zrmez7Smg3KfkXUbRpaqQQoDfbhFPJ84HWKizSzrGF4GQP0LR10Fc8eEZR2AcidZvt0CKiOeBTrxLBbPjB4Aq7PdwbZuVgelMN7+0XIj/8nQhtv2lqFxq1LHAihakeYF4oSdxjhx0DxTvqTyMr+ceX1IQy+1KTVEu+caU+U4LMMZNWUC1DWWwrJuBWt3wTt/w3w9PK9RHxz57IIvzvIt4GTuamTgGkvkKmSszi9Mc4E8qLFFuat6Wtp08RCMWdaq1xFkwB/TAbcphXh+ZxUN4yAbli8lt69CYpVyzmQHZ5DmqdYufAECBUvJUYldHHiJUpiK7hcVGXdFAD/FlpZC/QnR23YiE7Mdbg6wL995pOx2NlNRv+8TAawZMtvkk2gAiHTDTEtXpHnXDbKlYXjb697Uerh1yG5AJmMy0Y7oGAPK61fmiShslm52Y4IYCSW1zXMgBykVXxbRltdB9cRnWZquQ5ArEBQ3+NdvhlrXZBgPxxHvTqqHPeEsot3uKmK4EUycISsWcvhE1aUK2ic5iJTX1qQa2DrolccLcMSmqopqLa1bM1VEylF4fWL36mYOOzMjm0oBmuOdzWn2KtOhVlX77SEhSFCmKbcrz5EkBQY1UCkpmfHFOPhTSNlrk0p2TQq+UhV+mo2ifuB7mtWRqyA/A5ueI03uH+UoQlLoyJ7VFq/76SN572gIuAXAXOpYr9aBQLnnpgdP3Ae1nr9Qb98zpGybk7QttaNPC/Tiv+GxNXyNq9ONHNWFauKamG54b1YGdEBKB+WxrE7n7xw90YSQSlvJQMzigeUiZvjJNj4kI3cR9QDSDKIENdootn1P7qChlVSDpeq+Wx61C4sqDH39gomodAVErbTtbKP5lS67ttdAw4Z62wpZQ0z9MTMqtUKNui6hBdVZUZF2ef3UshcB0nVjsTWyTNYFx9wuNt8YbASIpv6hIQqz5nFNVaNLQIqMdoudI7gqYuFdNXDxdE+1Yqd6gchH/h2//A/4v/22L85+2kEVyS+KyTohJcDi12SnQWp6tEDQPExsTnKS4pZqJHc29CkUpisilNc9RVJ4oOkAu/3hk5X97S2i/rSGHE9I0sbpf9YAI0vmM8DL/49HBRgeEADQ1XN8hyahFucvjgyukxIzBFPvikOcICzJPTwHgawTAehZzUpAi0pIQdjtkasF7ADMzMutJvDAKyl/OI/RVzoyzSEQ5bfZVqwJeVbLWjw0UaMc2hnFm07czVusR5583qHdS5t4vwHK/4L474v/z0/doJi4QG1xhLUvW6mGCDkMarKo2wxZE8mMmZDP4XaJulDMTm1x5aiWWHOG+5BhkJDKztPcRFHOR7ktC5XhohE5hL1340V8kItp+YwNcxltuhPagvbozA68tZB4AKS9UC0TJUYRnrob1vtwbbuBSpRDiYiBbfUrZZjMLQKQcyia081qlmRd6dSJ81+x4yM5rVQZHQ3WQXQHrg/Y+O+Fcg4cy4Yu2u2U9mCA0VSm3Os4tK5vqTOg5dDzIJDiOY3ZKMZxTrrbY3VEcGM/vJbdl5URvnXD4jWRTn1gVg5T2Qe/1WKbmTddMgKIn1FztkKuGWgPUcE83ORONGnXSf9ZD84WflX7svL+hYVvlzX+K7GRQvrvZEw2YVyDa1mgypRypU/rKz9DDqyRfXgPUvCZVYBPXTICWD59Uqtp5TRFhvTfKRnL/NTSxXtSwqdmj0G8JGK8kc8o54CwqbpSLw39SHwuRbKJDR0S915uid+l/9mj2rGJtDC8guofYyUEfBVFNhiaXQ8LxW4oEF00MVr9I1hiZFXTQ4EkqklQAraV5j5aOica00dkTERivi1DXuiX6z5psd2XvQDgEinNNSLlAJAdU06CY6NipBfbqU0L7zGJgMr2HCtOqs7bI9noMz3xmzY7BmjA/cleJ9diLapZCc9EllPj5F937Q8+BVG6SV2czmnI+GxrAAVj6vLRjw8x5qnPRODgtBs1FlO2W/GzmPrqsuS7Z1sokqDlbYOa+G+551r386y3+b81/gW0/YkxX6L9Ivgd59shYoT8aj69FZw/MmgjDWVGoLZ56xodGsuOjH22GiGQ0OXQJ5w4Yv7tC81NLj52+A45HIASkYaBhT1OzCA8B4XAEdqTMparwj9oAxXty/ynRHy4lLeyXHGvty9EnmMHbftk1NQO/Gv+QEpC/e6Nyyvq//54TSN9B6irPDgAAOVC1COfh1mv4q6v8vsvK54w3K1C1g4CwKDdudUrZY9p4ZvPGNgUpHbsALA7j0KA6uAwXJgHO30b87nefMcUK4SNXv0GOSMimExSe8GCdbgqMleHRgeZAEiUjEBag/IgcAJe1VgIBWsGob7TywdONcmkToTpejyY/Z/PPL+Y1DJKlChjv+J/1z1dnbUHrFH5PFiASlfpqsmSbe+mLx4LpH5xWQrbZqiORBj+k7EhmbVzLSit2sMd7vioZOQf7KA2RmCg0z3rYz1CvBasILCkqmXV15GfkcyFSwpZKyUI8e+7dI/IMBUNk6qMeaNqiNd6lXNWaiY+oPXT/pYygNhqo3UWYfsE44u5ryrRB95VQ8NLzgIakLIyqTwndAzf/8TfFUArQqn9iH/vwlq18tlZsSmWppgUvf3AZWrcWVLpC8nt0/+PvnN/rn9e0oLUgcn7Dg7JWxXez47XCkcePLfna6qCH6Yr3u31idXz4fYREwXQT86Q4ejqU7ojmmWt5eKOBY89DdbxLmLdEEaZbFH+HBlj/EjOkOq/Zd24zMUxs1T0nHbOdivr/qPf4i5S9t+f6ap81seoNyUnZya8+JHQvEc0uof982YaoCanRExO7aY7fOvgJWH2JaB/td/hvPHe4J+oD2zqrc0H63JRQDQzuseHzsLUlEbj/n1JGI5o9v3f8ga1+rLAT1r+oK+UN16zpDfy5JF8mTs1iaCCPP7ag1H9NNPWZVedQs1CwynzepmzOY+irLIU6dBPyaFxrb7RW0tBqJ0xrKIK2F4PX0D6kPASLiKCg2fHsDB3X/byW3EJpTo5JSEfM1ymfubx52q2hKFR1QBbY2dyD7kHKLJeA7IJoBd7tvxM8/t+/wWFoUf/ugOMPMaO1/jdH3F6dAKUB7Vy1QgMg+hIroyIM6ZWckFSnRPvrjs/eBgyRqhCdKsipfQCQDhRWxdOJWrvjCbI7csCeLy34ANhpVzevYrPx/ZYYxIH0vDRN+dkUYYZ/Ve7Dz60CESkJxDuIZ1eAtA0wzcw+fl25Q2F8GyUsQjFDCOT51etfbm8QVy1kmODWjBTyq77Gee0wb1VYM5cqtDrzYRuUwxWFDM0bl2wWvrnicwCqiPV6wO6uBuDpY+2A/g87vO0P+O//+iP6jzSlmLes7uqjCVNKJWv8a3XSSmgt2UTIxCD1CblrYd7aAcs/58E+jX6mk/Ju9jwT4W9LUppnoD/pNKyelast+Cz8a5RjHTVDvkEOhoCKYZyKelSV3z5Zhis5yNthahWrjUGVyIPGoDf2I0umN8ZbE4sVUxW3AG6P3PoEIB8ioU/wOyZKfkoIM13O3KjUReTGq7XTIFX8XuipO6hO6o//HSum6Zb/3j4W98HlQm1stIll86nioJb6q+ShJBbwLTkx21kz91h6oXHOISEoTArhc26fqbIfb0kf2QAcq3iSZ8BtdjwYmmdaJQ93Oi71wODHBEkH04SUkaLoOTFvuJccWKMHwpXk9WoeB+e3kocuhT4pmqG0SWQgvLQutpkMt/+i0wLvKG5EZAVnPfy8kcD+d3y97R8dR10vkluf5ivyqZV+zvrIazq9p3Cw+6zoVhB1oRNUB6WIAhOf3e9dXrMmwHQzIAOT1XkjOL11udvHTwwQw1tqaqoz0H3h5VZnBuPzW1b+dvD3H9lJtHSiUDaTneSLir8azCSLwkBbR5aALp1kWsWPBQGLFatdryZX9V67DFSTY4mqu/AlsZa381veU+Oem5eEQQsf6zEPjWRBnK11f+a9Cg3ykDCbTjq8K9qcUX0s7L61u5jp1OqYMmQdOgbL5hmq2RBFrLQQURqF9JShAoWyMSGyjUh3gddiUy/P7yWfy2aQhcQOEduP7FYqXieGaHZfJGuwLn0Spvd0jmwfi67CqAk7e6qBeydVTO7Ob3l+2PCu7jFh+O+vMf4XAza/f8F+swGqiFYS9qcW1YeG1uJamNkEVFsnpj+wCX80rkp5BkoUqNdCuTY/El0ytCMH8OsrSEpw2w3i80uG8OF9HhIkdUNEfRxf++iIsEMvRQr9QoDTIjxNM/UErmFsXhaI938/DCgtC7AsbHmsqtxajws3v/zlPJwZ+wgrfoiDC4GZR9SMTat/9/WFwwx0KpHUTdYL+O+/yQvV1Pd2AMcG2RrSxH/ZVc9plWucjGZXlfa++qca5w0jop94UOx/F/G2nfA//PQ9qv+wygMeDDoe7rmx57Xkkb/zmgnIAm5248UMWjQ40p+BasfPTXUxsorbqAzjR62KdoooWEC2YGTQmBulmBM5AIvC+jMDY/a2j/ozgS53fmLwDk3pWx61LcgWsgnYkACvIlTLlmMFoOe/537jWvnXJpURyVIcxpJCeXa4Nc8lIapOmv12RDksmUsVIDMhtPmK6m4LrslpN4QjfFYfOSwoNJrQPNNOOJuG6DORwPtqI0DdDKRQWiorRWiGex2UpFXJ+S3toA25SZ4/s/pI8Ztxq7ERDFf67CeiNEb75IR0gvq0l46G4ZYHRrOHjq1WOqkVRQp0IFVV2vjockcEypLN7isPyaVDMYBqiTA0L2pOozqJ6FnBUwjGa6V9rtBvwnHte21lWno+7+rE6nB4k3IVb9B9+1j48dUvHBITdK8GTaByAqH3xNbHvKU1LiarmgTn7xZ0Hyul9URRJVGuVzICA5UfmSYniwwVWbO5Dt1DypWa086D5DTp9kl9CoD6TKV2s+OBPd6IOrjx87ipIHfsrFHBl+OZNK/Z6tmOyJM1zRvf9uW8YdILxz02b0lhjHc0jnKfCq1D18HSE28cvgkqqxMH+MzCdsThXnIilYseYbLZPrEVMrQCN2lXy4YcPnDxjM8MkPWRdEh10t+JZXTyvKFuo55ITYQWgNdE4SrBPUme0GmOnDa6XBagPlN7UJ11UumLoV2c22D3lBouyes16jTYeYtMvZqrXx4WFnlO5AmBUSkXvaf4VdjyWnAM9/y8yVP/0v6/OozXHarrhOQT4ocGfhRc/Zyy0t/oFpt3gAUIzigyXt+0pX5HOhaLSTivxnQCEhLaE4WUoROM167A8tEg44W+/dsNUl1B6rpM9ZsnwHkKAcFCOp4pfImnE7l/J3A1vQEs2KeUsq+AW62AurpIAH7VfwgQYoD3gDoHZV4fYBAXVwb9AICOCs5GBGZQkBJkCVT/jyOkbeH6DvE8ICifEd5eZ9FH7ksV5My1tK6l0mKkXGk2mUgFLaArmA4nuW/g1jPmrSMn83bEp59vUX+t4AwxALLPc3JJ24gUKh61B1a50OR5QFsbXvYB8AyYy1o02y/VuKljmZGm3GkQY0E5sqK8BmZtQbIq2PpNRS642mgVED97fdQNuVJV9gX/fvo2KexXsk0z//GaCIxvkiYMrOL6zyk7qlnS4GYTBEqGcO1w6r+w6hvvkLkwE0LFWmmRMychWgtfnpJlUPoWuWdYAjBfs79dFh58023pCDCYcboGYqVZ/Ww0Ct+reeHhEXqiFfZVHxLmKyYc9Y6ceH0iQmJmQhJYfQJ6T/Z64M/A+mNEEofqnCgeuxUcv2fAbc7IYsvk+Pzal4Tj90QKyIcnnL7lYWdrPrSs2EInOq+9UFt+SoiDHoYb/mz7xM9uLWNMBAijQ0pF1X9OaA4JL39wFFRVRAFNnNk+8F7Emnw9B+MYxaD8tMKc0xUP9OoMBKMhzpLvlyEWGbUz1Xa0KvOi0ht56CcPXP/7KvPJdKGTLHStBr720pAm6j8SwcnDthTOnq4E3VdWX8Mdn7XNkKDXRUL7EjHcOUw3fAbTxvQH/PN4w3VfnxPmWUVaWmSkioZE1BgwiDe7pILdhGpgRWdtc6Y/SAJ6xCezoOa6NN1KvS923YYMmE6E0xt1BsEVg4whKgbJe68FhSAL9+pDUnqrFDHVEQg3RrukbHLGzp1i7+sCAKUH5q3a9B5JHRr/zsl73DtuUqFfpclBj+xTQTGdnnFHyZW7TbKUZPsMWVgXeqgBVjnTrVXR9EnTVaFDk8YBQyFM32DDxJjA8Zksa9UkiNKo+jtm4kQBKQOPIa1GSdisl+QVFfLc22YJb+irnUs893j/uq8JLlDDY1W/dYGMNwLcXQNfviDudkjzgjApz9+17LRTmj7H2hiQRv45XcTuNI7c/nWDOKvAPi45Xov3ORnAMF4kAP/IU1hHC6aYMmcg3iGPCAaTBDtWrf9fqop9iOdzmW3sHaTv4FIi39G2kBAhIojDgFiTY7PqPwfOoJsQPMSiF/ikffQryxg1cHs9oDRbNypATh53v9vB3+9xnmrsPm6x+WNFzqgtmzvD1JPyvA8XkKlmeOYwhQD4QIe72KXS6qMBGA6528BmxOeWxb4EUz+VRRV1c1jAsWw6i1t6qoDDKsFX9LCPjTq4Pevs9I0mC5qYVCdA1oJqLpVpbCiQMket/pO2HnnJft7Rc2G6mZs/O1+Bv5fFfY7857zl7wP8vONdYuB7lkxVILH9yI1lA1kwyBDkicH8+G2hPuY1rJDMBjpIgrjwIODYZ1HjIGbr/SdVTWuS4kbJXQnNTqtpT+Ff/znRd71TflNpB4rCWOntf+MUMuZzaA4UhrlZLaCd5KmHv1bIn7+NCD3992m/p8/moMnVpLqESqgzafncT+8kj6KeVBPRPpPGsAAIQfa9WH1MCKpEt3HYbgaq0eaUayKx0aAQeB3nd8XNr/+ko17XTEZsXoMfNKmytiyFWpPTUcg7pYg6TSTeSuaKjSe21rBYC4a3pAbqPWckmMNdc0zY/c5huuZBXR+J1phjoj+V+0MaypIMM6ohOmPVmlvUsfAsCpcTRaJWQu//WJL+auD9PK+dagC4Xrsj//38Tl3wKt6j5oWmSgD3jrXDjvdMwrsvXFtBW1lHGH2DomLvioDNBu34WTKPb8iCHxQRNH1UfbEPNQCa6Lc68XmGmmp8+6zJm/FYadc0Y69Y0fKXIkIVP44J45XD8EbydEbbQ2Es949JOYNs80K00M1EUey8MAdVM4GydmkTkrrE/5tHQmy0XXQFiCJZcQv199Ag3wEylXvHYU1MTmyomRlTWRJiRRZQEFxDCWNd1rh5v8QWWedi57Yhn/a7ZjpkHfMmTnWK/Fx2iyVhIQAostkAy90a4nzuivM315DtFmnTI3oP2e1h/v1AibX/ua80T7k9kN/Q5x8Ck4gQIE3z9xTA373QssB1HVKgFfArf2GF8S0hkFUPOQ90A7QZASJwN9f8s11w1MRCnQZd1+H5d70O5DEeSTINwIVLWNO4l9giK17dDHgp1SjV/ISb+k8J/ReHx+kO8XqBnD2qg8N4y8XiZgZ/Bh6oIIUHKJ3goG1YF6hD4AawgFIfJLcemcIzVjR1WXpAKoUhh3KN5LoKZGcq3O4rF8a84UFqI3BrhfgkCmS2A5EHmc0ekECY0w726Yb3v1ZhkR81WMyqxtfgPd5qS1OjsKsQTci+5c8MPHaIVJoIDW9Y8blJBTwbTWB0o1XH4p8eVhH1s0P/WeBFE5W5ZMv2Hy1ReS+qo0LKXeKGfnA6212ya+O0oXre7n114vvWh+LoiB4cSnSUbEkrEUia/Bm0XyVDKngfaEjDKoh9wdSFJAfsf/SEGxvj9xLaJ1Y25PuZjFRHyRoTSYDTFrLoRQ8WHnTNs6DeJTz/V0CqE/oPLve+tyqOG+90LPHIZMGsUaOiRJNW8TbXwUxb9j86NHug/8rqd7xPiFXC6oMrwtlUKnxLVKcrHlrtiwb3plSMSErTvCHqMt5C7Vgli7SyADVeVPJRu1oWQ2+IwvA5C4YgOTkyTY2fE+a2WIBbkrZsyppZeuWcdRb9pV/97X8MQOKch/Mbl3UX9VFh5JmJjnHiZrs8bwAckOkBM3dKdxpkFu5HFxT6vbnoIx8Kmtc+Jyyj5OKkGknRuSAYrxgsVx8TfR3WUlA5KXoc0yhkAbJSbEaBmPtfqoDVR2RRno2oNt4a4Po2u/HLc6E+IM9fqY+8J+Nd8QAwK+rsRyHlDLP2uOalFDgRpWvo0j77Eg21v2ffiABNwCXfw+DL8zTk04Z++TPPe6JNkkXhJuq1Z2HWzub2N92w2HPaUmloAqAJSkbaSkHlxnIP3aIhbUVW1n4ntDz/DMGOFZRaKQWZC2xzjBXX9LJOmG4b9H2Xh/eE5xe4ECF9S0g/pkydW1zOlMB/bojQperfZvqEUFryRV4nAG61AkT44vr/tCyQvmfVfjkvYFmQhpEthADSvADHU55FnOYFcJ6jga39T4ge5K4BTRLiMKA+RVRHh+aFMwDqY8oufEsn2p5HLis28mq8pU2oc0EftCPfz4UtkCVh/ZND+NqQK9qkvDmNSzQ43NSd9r1ZBU9QLjHp4rWs2bQI5iO9rHkt9ZHQrvGBuYXkYvGzigCSZ7VDSF/yBEEbhmLZaaXjc6HGE1TC6/UKYflq4EKl3zXNjjZ/ZcZvLTUAP3vQiWbdo3oIqG2wDYcBVJB1IznxMTjPhFXjjeRANV0z6QIsOREVeQnC0eeK0MaxGqe79Kp232vVvEjWMhC1IMxos93H+5SrFNFEyp8TsC0H8OkbQfuYyCV3tERldq4TBMPF+OZrhfwTn3tykqsV6/F3iwpCFabPz1H74tkKyUCdXRiTCsXOrDxTpUpwhdPrPSvm0FNAGBveKz9JPjDTSjsbThF+dKiGiP2P7GP355K8hT4hCFvThreAzEQpgo5fteFZfmJr2nDHte5nAB1bIUVb+2xfmctdMJRMD2IZSWPNawbp0ADDNwuqgwcSWwSt9z+L2hRhEdUe5AOz4TU3Lyl3sZhJlkRgfMfqvj6i8K6xVG7VmWty6RRW17XsJh6UbgamtVVBfBZpkiz+s/HB/dcItySc71RwudN1c11GKsc6aYWoe1RROUvAcsVY8zpsdO/SX/gJqMeCH4px0bwlRG0CXyr3ua5IlTFRMVrIOnOqY6ny8+hcp3TISrLozPbdskbW7TTHhOaPKfeqT2sTiarot7mAu00AfSyok9FHAAA9K9jSWc44iy4uFtHypc15hsmrC4pzKe85r5G7hizJ4LkFupUugKgjYpKShNizNhS1OvK+pYXnvnmnyFJQEdMQSFK0UmkrE1ZG1WWZziALhReNHXpumrvhdK3r4KkkDanW/a+aFkuIIcD5vsL6akvPHMfYG/d7eO8YZ3/t7++8ovE1K33ngBgRLwfwNU12643jWGz9Vecnv04A8gvEQGTJeeRB6+dALl8EaZr+wcAB5SPir749jHDnEelwQHh+0Qv3cHc3cLe3RAXub3B877Oa0h5ghsoDsGhlbQv9lQhwhfwgJRASsna26kQhjKn2LUtLDQ/Nal/82e393VnKMA2tjpZOW/WSHq6WOWqGa7yXfYlWKAAD8qVrmbVwZZFMYBCojgp5dcwK/UCed1lD+3EFpx8WdJ+rzNubuYd91Xv29Xrl10LkvHWr2mPFqipTGx5ZTBa0paV5Icw5X0lWoFtXRtC+XuPtoi/ZfX1QA40VDT7aSLU36RRrY2LQMP+B6ZoVULMr9IoN6LFNklREadn9csHb2SCX07fyCl3xI5Op5plJWP+RLm/WStQ8l/tgngr1iwqlvr2YWAZNxFThz+FPqXioLwnjlYqkIsVkfiiizaVnIsb2IFb83aO2/+j11gcqk2PNYG9tZXHNhGC8FSTvtEWNhkDDnWC+EvQKMVsPcqzU0McBp3cOuFgboS3Ww/kwg2ku5JWhCpGvopKnOVeBZS1xW3TY1O2/9UQpbiV3YZgpEcWI5Vmvf2Yiax4GNkHRuNXuke85rwpMLYs6+rXIc9WT8PvLFRG3VKl+YyJ/zYme3LPTNROv7iGhGiLnKnhkl8nh1nFfdsUgyE/A5ifg+B3XtEQuLhsiRFMg5DkfFhCXDph+D6w+SBY+AhfrVYuC0HBtdg+aLGwEiwWxC3dBJAZz8703OJlQPAul8YYIaWyYQNd7aCGiZkCqmxJcBG+l3sYrwaKq+6VDHoR1qSUx738LstbtVO8K/z1vCqVgLXNGFS09stWwaPC/tPg1CgMJgCIwdl7b9RrN6yZ+RnO9NCoqowqa1EgoSSCvXfJsAdOVJBWNNzsWBfa8LoXQl4VbPsM13uTr5vKBmTHla0Oxq7fuoUv0l34hLErSZgV8CEjwGb6XvgfqBmLVvPe5OI/DAIiUQF9VcMPA7rsUVUugXQL/gOKPw4DKrVaIpxOrfwC/Vvq7Nb9vsL5rW8A5KhSrqowGPg/F1e9SUKi8RdT+RooQHHBmAhEOR7jv3xO+rAg7muJUok7tskRgKodWs2P2Pm8Kf3bZg1+dreJjgEtKDSABq0/8Oy1BKejLVIMr75MHDJ154NQ7yZasJrwya0lZAK+ZMkc/Ires2AEYPZOCqJaxl34BSYVuNjUuG6ZowKYSP6J54mly/ibCjUIbz6FkptNVCYR+ADqtqmPFTNwqe5ukl2qtUtZsk2mfWfUsm3LPkys6hPog/FlPiL4+Au6F72eajOZFMIPBbnhjWa7o9DhWrud35rmgqvhdyla7NplsuGd11n1VHvzWkBJ+z1qtAIXoR+RDz/wjDJFZeiBVCV7bL6sT8ujbZRGcvgtIjkHMeMLhjTrtHS7W1ln5X1UjL52ge2af97wWDHfs5a6PqVjsXpmgDuT59T4kUT/6LcfUWrWwrFGU3VBNjAfCSiApqXESe98B5NHRZoBl92G60tn0L0m99gXTTcriLWuls5asZUWY3wR8JkSzwDjdSFaiR6XNJJZujtAxcQwtJ1xyRgFFof4MVOqaNq/Jw1MrwvXUPAnc2eZESB6c0zzzvYd3yMJPJIOASdWxRZR78vit9tIHAEspGOYVkz+3EAVhOx157vnqYiKnBlBrG7ME2EZTJ6dT3qYL2+ZWCwMdNVydAbdT5PGBz/f8rnQUxBrZxdBNpNaWNZOMei9ZT5G7GFTk6M+E7eMKWR+QnGTvDAs8hPIZlLyuM+doBpRUgzLpc61PeGUElbltp5TXsYy0NU7fXFKheq1USQ6EzY6qd0t4rZMpqeYkeiC1yDbqNuHTPq8lBEEDdX1Euc8qDrbCS4LSlEZNOaiAl0hoaKW0RO9p7U3LZeSOArZvaveHIRMBqKyra+LabfY0JgtKBV92CVmiZsiF+Z9YR5XNN2h21A0RBZG8v+e1JhG7A78RA1IS+Os10s0WMkyQ45GoOljNF27/gk4/nQjx9z1pA+9zImDUwq+/qsv2gcsvaVsN9oIUIkV/04Q4zTT2qSptP7iYA6BfbrWiCPB0gru7RbzdwFcVwucv2Vkwnofcw7jc9pg3FFy1zylz69VJrRRVrCax8OihVSWoBthLtf205SHDQ4wPyywum5eEm3+dEBqHl3+qOSa4IXbXPpfXyfy8IgPVSStoFXbFVlsDNTuWpBWlJhmpgQ4JKbCWcXZomPHZVDFbOONtgYRyluj1QB642WXhwd3OLi8+O1Ss7cU2sZtL+wxQEpp8LdbGl8oBByBb6ALIwrbQIfftmpo+dCp4XCP7cAOKvHxiRVJPfK/xjjtmWYkKg8zWlkLG8xsdJGNCoFiSEZsJASCP8aR1cwk4ufd4Qe7x5iGDXOl47Yxgdm62uAzU/QeP/jOr8OMPFICu/x0PdxvN3LwA7fOC0Dgcvq+yc5nNB/AjPQVoUHPhH+GINjU7gT9Tp2Ec7tKpKM2pxe2Kz/vqX3nYDPc8UOs9ck+20+e79GqY1KeMdLQPSTtVFD3quW7Od8iBFhBFmEpgibomq6NkWHO6YvKwrNSCu6YCvn2GPktWwv3nMqY5aeJlvHzydDRcVkxU6z3vvfV5I7HHu+h9ilgqG8boGjWTm/rARDA2nO6YKkLXfuQ1jDflELb12z5xrSHybBhvFKlQ3/3YsMKv9/xs4y1V96Er4jE5cy/nw79CntpnqNPSI7vkcWRvsaWNVi1ewOPmO2He8/m1XUnMbL9CtO21K4LW0KmYV5+Nn4D6JKR8qzLwyZAUBi/ee7u/Nso8C9+UN7/U51SnlJ/rtEUW610GRLbKXbTDTvyclzy8eQVUJ8A/k6oJfWkxtY4mG7FrQm4/aauuFKjeqnXC+cjFGQ2J+L1mzyRLIutSziVI2s1ECuT81kE08c3Vv9I5SdgZk3VCw0VsECIgViAlpTrqfco0qsUnoySijpiWSNTYqJ3YAOn9HfDpsy4Aev9LTEh9y5a/WPh+1+nfNQHIdvtCyiABxSPAWgxFIFUNt+5hI4Yrq9SlqiBti3gemIGMI+EDcX+HCsTh9d//7su5LPBLhyOka8hbe88s5kK44K+ucHzXsIUk0KgjqbnCspJcxedJbasCvVhrmT203Cqi8FgewqPQVn0A7v79gPrxhNNvr3K/6+xVoXuL3E6WrIL3wKIDNwyiTgY5XQhCrEK2zVu9IM95dws4ElgXOflZyV7d0zU/Z/9F4cqrMvq23iMLc0yklVvvtB1nacnfmqGP0Q3kyyNqVZtbG86yVmhskZw513vNcleiIkqlXnp+v9khw+xmd2zti3bwCihuWtZgRbdAB4sIZCgHEf3uATig+cKqH8KDqDpTlzDc62ZS6972idUe2/FYyY63wPonyf3Ly0oNRaQcXu0jshrfTWUErI1uzjwmaFRS77VdqlU0Y0842eDV5z/UCJ2o8VPKr2VJlyzAcluekSiHWL/wd7qnhNO7QqsM77R9cTRKgp+lfYQOxikoQr1j5YBItf50xcRi/ZMUGqxCNnlJQtieCnLR/QVt17PPJJrcsv3v9D5heJuw+tmhOplgEdorzfc5vwPWP3Gtmv7G0B9SHsiaCwmSW8xkIuo2bzieeLjjWjP7XUNZ4PC6UkrILZVmp+oW7vV5o0m5JkT9J3YLHb91WcQaK95nNwrqSHOmpKrteqeCOyfZ3vvSarbeUy8gkdc43HNtWvJi2iEz/PEjERwaKzGwWjA0y+fpWpEeFf6Od/ys3VciAcd7paBSKT6WNc+E+oAMYxuUbk6RZo9dDaQFpi2TJENw/LkUVebAmNRzQCIDsSTVk/QsHvyZIk+IZNfMV51X+vzrQ4HN+y8oTq5NOYP9wDNuuC+eAbEmCpPtjFfF0lsu7u9iequlCBLtvM9/VrtePypHr4WhdTS4oJRWhexZwU2DPH44VuVsE2HAb59U0yOqIXFcL9SdpdyhI1FpMU12zbLZUOV6LImDFW5uLvqI6e36FScv6zXipoXbnfMIYHP9s7Y+t+45JOh8Rpr/M3FZ47fre9L3hyOgsZjvl+GCxPnC/Rru5po8w8OjOgP6v1MbmqNfmmbYOGAAwDwzMxEHfPMGsWvg/vRAs4JfcRGy6jHcuMwxJiGkGmpV/eodMT4mNsjjNJM+NFFuOwmh0fZBZ1ZvkCtBg0YPP7SQ71u0Twuu/zRiF1p2HExA9awVqmbUPhjfKXlBE1otyMJlu2H3osNEvFZWo2Z4mhHHCjmxkMiAw75oLl63FDh19SkpTSGIiWYjy5oDOayfP08s9FAOFHnGuKl7/eyyn/i80R7mRv3Or1jNh9WFJeiZ1ahpFMw1MN6qGdCoY0Mr5BbGaYss0CK3nbJjoBfBfE3VeX2QrHPoP1G9bwNb3MTAElqlHlRks2yYMEEhS3tPP7BSbdVQxERY1UHFToEbcLwrXvnn95x2V+/Vo1uIdiQHTLcRzZNTblzFjBE4fuPoZnYwpKWYxJiyGODzBgrKY9X/ZdUeWmD/W4dpm9hi2llgVrHhE5/rsi5zBqozELTSq3QiZriX/PPnChjuAOt5ntdlmAwEmK+0qkwKp9pzClShzyoMswDYPqsRUQ84Xf/LVcr3vN7zMBzuDXpXCm5RvUdishxrycEwJd2/Pa+Jn1e0nRM4/Kgtc19TFn/FmjD8cM+11X0hVL+s6H0RWgbv5kVyMHUB2c6XjoPUdNR7YPWz5CAHIeRNZAZYfUhYf2QlaKgeUJ4hW9Zea2GQkI2orBgBmHy5ma6DmWv3hlKSFrAKtvui9/xRu120knZT0UMkz89b7/m8LThFLUqswLCAk5MjpXFizaDnVbC7rPmcLBjOG1IIzQ7wqoFhb7tk07KlQ07ITUTNNr+Cipo4eN4WjZD5g5jgb96w2Okeyj1OntfVvCgVsiq/c9muF9oE2b22/o4tEDXBtiTakoT6UJLKqCLJ2QSKi9LHaxXFPpgqH1mgh8TnMV2n3FUD4XyDXPBExgZDa4zjN/+X2ADS6LyWlmdrHiKkXUClBRpYVh7VxZycdDrBHUbAObjrK8TDMfvnsJCeEZ4vqnwBUQAnpAW01S/NCxAD4jCWf4+M9ZVbr19P6xNH9f/pzApeg/4/ajWIxyNe8f0KMcA5pNOJo4XbGqgcZLOBmxdSDRdJQLq9wqyjSkPHtG+xmzoSPrQMyYaApAaYVPxGa17kASbyIq+4J/aiJ3SPvNl+Tlh9GOGGGTIH1G9qVGefuwfsS4JaWCos6+bCl9rwCxOlxZrBcVAFMUSNLhQRCD2vw4/UG8zblDkgzjQoLS+WYZ/eS4bVqzMnyg1w6B4Y+KYbVhjNXrPZuojo6hOTj9E2s34/boFUJ8AVRCN0CdXBjF8EyzUXPfReyFJaHDOnvbZKjC5g1YGHqkSoJ3sRb1FIRt7euGMOFmKlzYqwwPfG/fWficgM38+ov1aQnZTDFwz09ZHZ9eF7wbyl22H7wmedPHvRnQoIpy1yJWwHj5sYFKtzwrx37C/f8WCYN6x+bXNXR1ZJtWoH6j2H8xx+UNcyDfYGO3MN8YA19XK3oyAuqDlL86Kff0tOvjonTI0Zr+hoYlWkJy84fic6IRK5ivCD3vsZOjeCUKSbiF7YvfFToXg4iEURKHNHVM69fQK2f+KBb90aqw+Cw48MztVQgqiJbkOL3InhltKbv/TI4s3kgNVnJvbku7XjYVTIPhIOnzfcK8sKOH0LjmQODMBGAXRfuean6wTo2jMxIR0nFXbWMbbNPqE6W9uveV4g88DjreBcF47e2gybJ66N2BSnuemKwbT/QAc7g9iXdemhH2+hszjYCmzVZXLA+Eaw+oQ83GbZMLIYR+wCEYpYE1Ezw50kAm8cPfjZMpWnyXLm0XVmSPvC/XF+V7oWeh3UNV0zCYNAvS2KAK7/JKhPpOWs993a5+BYNFTH0gliCFtoLLiWwiuLmZ/5OjYzpHvktdmZaQnjZfJl+5PjoZU2U7StOgNhRbQCQk0Q26aTIr8F6fNK+dUHrjE4/bw9/y3Ukmeh2BksUbsepjL/xcaJS0y5q8qQn+QU7VN02M+XgdL2nSDq70jk2c+DAjnpqH78Dstf/sZfO51QDSNor09+H1Hd/EJAig4mvhdHMWCaJqSxxOrLabvUFkT46yugboBxVAogRQ4MqCqkZWblftny94++5B+gAilxeNBs7QYz3HmC+3pG/PqQVYuXX9P7LdWwx9JGZfafkhIW7SW1xc7DDHn2tGWlxs2ZvzrA16leCKm3jwl3/3JG/a8fgLZBWnWQ3RE3/48D6sO3ePl9jelGA/8BWaVs7mapkkwpNLtiP7t0TAzqg0JtDSvI5JGnzeV2EaUs2qfSyWDcnrWR5GpNhYyzDnKZ16yY5y0d7eq9BuONLtYTfy82pTXPWiNn/RzNs2jFlrD6BWz/udLqpC3aiupcqu15w0OofeD1TduLTVoTIh3vItwkqA4UU9FGmWhHrJkgOG35Mk1D+5xw+A03ar0rSA+zd0L5yyqh/3PNA3RB9vYn9M3D4fgthYh+KtXBdC0Yb7nhNz9FHL7nBdtQp3lrlIqU6YRANj+KFdDsVWF/x8PycJOw/llwuOV1dg88wNrHBAogGbzqI7JvRNRR0rIAqEqV7TWRsUrSKsHhvgjzhjeaMKpAqXsgDxkroBkVgViXtc9pjDTVmW4iGrVLBoDNX4HD73hNRpkZvG4Jlc045wAqrv3r/8TD9PBbrhs3U5k/b7gGL2c9sIuEe8LGIYeW8HZ1ovJ/6TnHgYerDoDpuU6c0hDTDTUhHKrD12RLpXoweENOAN9w1oAs8sp29vDbEhRhaENfuFZ6+/O6uk8pi8UuzcfsZ8f7Ag0nl7D9syKVPmUL5uS5P/xIJ0zrke8eiRZZwuEH6gyMMw4990Y1KFTd09zKUB8LnkanxYZBY74qSE7zwGT/8KNwFoJ+hUaw/w2r/fXPRP6oR9DAdaFxsqFZVo1aL/6rdj+l1UKdUE0cU316T/0JnSG1vVURNSS1u14rQjaoR8nE95zX1H2U8epJeX0tfEJBeeqJ99D6/63KN3fS0JJWqA88j6A6kdDSAA2JQX7WwrA6K+0dtSUPKXerXM7LsEFE1cA1Y90R1iFma8wmq3JMeqGCDTVuTimjgl6RSXaNFOEhBDh879E+3MH9/CFD9MkmAYJFeNjt+HdxQIrsFgBo8HM+I4sDAcZz8+Nxnu2FIbAbT78qxJhfnCN9E5AoKkjLRRpzaSYAMNhfBn/ndejAlH+GEwUjg+1mDYwjfk0BHL9tcnsUvevZf5tb/JTP9FPC6pP2S9f2CQ06KbwtUBZIrJQ7PQBv/sc95H/+I5bTKd9QaRq4qyus/+0v6P+2xe6/vsbpncd0pQtgMhiOGzmpw5fBgSYusg1Z77nwxsi+c/rGa6DXnvKlA+I1FSbtEyEs462Sz4U3D4RIKqM+qRAtltaioK2CMnPT5Yl/Gz2Qnrnwq1MCIgfnJFXvpqn4b9caFBdNQC5Fk8PblH3uU8XHD9HE6qwIC4Duq8sjWBGRM+b6uXB6BoVXB74+TWtSNila9N+zb/9aWy0n3jNO3ks4f0NINzQlYJqpUHXmITddMXNHZItT5mk1O3dT8Q/AoknUQkV06JAV6Icfta1xwwTHpt+ZwIxGHmXgTDWUbobxVmHb55QFaqdveRBv/8TfOX7Him/1v1j3iyIhI1ur6x37/Oct1es2T+KVf0WTkHoewEuvRifO0QVxxao0OU2yfEGz7DNONxTxNYeE43e0EnYL12Zo2Eq5rIiuUPOR4D5x/dh8AxnozZAc0YNYc+1I5Jx3N2nwqVn1G100bXX96Z4db9W+e5Ssz5i2DEjNntqJ0CVc/VFNimblUitW6e1zgiTJDnP1TmmTRGHndBPRfeI44POKn+/0XrJOZLgvttNufg11d1/5LKZrJtKLVp/1QZC0+q4elV5al70xbSX3sU/XkoeC0begFA3ZEndKalSj91sTo/N7PptmJ3nq33in553n+We9+3nGhxZNU1PoCD/zZ63l2frybU3PWyZG0hS6I5uvVQyahWoA2g88S+d1Sd6tUs8tcWMRbCfV3kBoxWtV93Av2dht3ir6u9fCr1KOXSnXVCH7SEAKkuTHC8GqeoQYp1+dU7bWzkivMHlxizpEHtT+eF3O4PxZVIPgJ+2GmVkEsLMGuUOleQbgFGXT+5Y8BxYZemMCbxe086krKIibQ+7ThwjQ1Ehe4G5vgBcG/zSOOUGAuOz651Yr9vubRfBFfBbPiYPiXPH4mSZU0jTk7eYFrqmRAgO9u9oAs3oIO8cM41dqf74yKQCpK7i2JdoRFQlYFshpAOoKKVwkD/pVffMe441WyQsza6+Zks1XdnPKUIkd5LZQLBGwgDBvTR2uC8UTXqsPCf7xgOV0gr+5pg1x0wB1xXbEEOC+PuHm/z0g/O+/QWxcFoGJ142l7WmmDL0UIpJn0wevk52sR3hZITte2QhKQF0NLaAKfe6rY+nfT7oAq7mo0P2IbIvbvDAwmwDmcqJddSEUsurWaYJR7xJkJRliy4IevZfRF8qg2peRwzZlj65/CUmh9DyXYFGl+4tkeH1eQz0ASvZsNqU2rSsJqyyjB6DBofta7IetRY1dEMg8YX1ANu+ZbkqgtR50s5E2PwijmawKYdWVsinLtNU+fB3zGlroZDSXYU4byDTe0uZVEkcBs6WP/KvZAoeGXJ91pkCI/pigrfvKg2TRZ2qwefeQENWkpP+SMA+SR5xynUuGKf0kcNbho/x6/4UVU6s2taZpsJYm+yzWcjje8l63D0xup5uE7Z/Zm29q6KUHqgScriWPeLZEhCOteb3TFYN1+1hEn+M1f6bZsZ1xvGVy1uyRD3YzGmIrKxN9E4cmx4BTH3km7P4poXvgfTL3xfGWzz9XgUC24fYTsPkbED55zBty36uflW8ODDhMsvh5zHO/Okiuws0ZElBE7Jm6gdN7ye2cx2+dCk8ThrcCzDyrlhU1DPWBCfGi0LM/872HtxH13inyUOgJ0wQNb63T44LnDklRwOLfMN7xYRm8vmgnlNnp2vRS27dy4jWY+NKgdj+loqUYkR1aDT3Jgk0pHReAIqc9cvfCeAMmlKPkSXnVwMRsuuZ/ps+J+uytS8eMfcx62z6Hm8GhZfbzGuNo/ys6NwHZ0KhRmjC0AnFqpKaQu7VH45mJUUYrlDa0gigXnPpvZrk+r4v3xnSD3AlmAkf7eVjxIbxGWUhFB6/vcU7wnVqXbxt4e7OUIKcB8X4LeA9Z9SoICsWAb2F7Q4opz9X5h1+Jv5eWhR0AkXMFqssRv0kPHSr/E+AE0rVsK7jkEl69MIN6GkeEf/AzaVmA4xHxeP67fwvfvsmuTH5MGcanoEpydpQNIBQVsKzR+jSTKM9jATTaA5AyetF8B152xTihrpDOA8TGE08zbv/tM7ZXHY4/dBhuy9AGqN7A4G2D9Jc1sm9ANpRR3spmR1trT7bovSZslXyZHgZtgDVzk9QAoWb2mzPftVZ+UhILZr5FuW/ZraTy//GmVOyn7/T+aHtRfk7CAxmm0lcBZaz1dzUpa5+AeCiDOMxwZLxNaoFcEoisKFbPcNNmhI4VY3VSqkIPFUsCiOpIFiAZQhIrJmSmz5DIlihaHjPRmDQYM8tOWBrJB0Ce512Vgyx0TK7cBEgDHW2qiueG/KJxjvNW0ZVHXsN0xQ6E9U98Tt1jxHjtsGx4b1afiGaJKtZNke0mwLuCVLmZI1un24j13xysB9/QhXqn3SFbdY2bSUtJAJ7+Gx5Itz8x8RjuJA/CMfTFhIZmLUs3P4qu/FlpiqSVUCvsvHCJgtURWKmgDVDEa4s8SKYaKEy1ynBZM4ny6q0/3BXk5fRO0H9NeSZBEnmVQFuQ6r5QIBV6BlY/AMfvijeAW1QUq0ZB1ZEJiLWM2vPyg46AXfG+WZ/6dFOEXNVjOVPcyGs32qvZAxBW9DZ7wGis8VYwRQ2SkTz7vAXWv7CKbF5AN0KjWiqO+7ZzxCrPei/wk8PS87VdAIIr7ndBe9xDq22KBzUpGrhuQiNYrhTBOpQWTitETLUukffHazdOdUJGDY1GCV3KLcDF+Et/9oKCsw4aPxP9od6o+KrYcKPQmu8CkdHpytTxevZpNW7IQBSeUXYOzVdca4ZqmB7rssI2FNgoT6NG+JmTdh8YlVooL3YK8J6e3lOfZFSPaXjYTq7V+sL3lYWvtaxTnh5rybQVPGZPHxogdUAVtfDTxA4eCMJiwZwZ2ycWKPXTQPalbui+uwS408RCe5pZ4c/L3xXTzDIk+/SkEF7F7LQsSCHAb7fFRAh47QQofQ/MM+IwIDyxRDNowXn/92YCv6YFfv1vALBdQ+oaMCOguin9/zctN96uiHT8nHRcZcpGOGktCArHGL9kD1wSs1nrwTTBUVQBilsE/Zc5GxHBRiK2LRADpO8gqw4Y9fOeJzQPOzS/NJjfX+P5v1xh/xs1vJn5+v0XHr6HH8mHGjzqFuOk9BpCgbusvzXogoJwI64+pZzIzOsiIrRhLYvy96EvU6ySM64ZpQc3J0/6LJVXihowmd1rBhoK52ee/6bSze0rMxfttEVuP7IDqX0m9GXIBocLmYq2HOi9OvTRTlkREBXRZec5FT9RZCX5mqcbBohmp5WEVs3W82tCnuTZ0pYtQlV3wJn2kjekuaaFrsCOZpHqAtcQQAGkbImurD/oAag/Z8rs8zvtXJihHSRJ+7G5fnEU9QQovvIulJ704Q2TlWaXctvQdFP0L4lnFZpDwlhJrsRXH8n3zlv2sdeHhLiKCOuE8aYi7bDTPVDxOTY7VvcWXNvHwnXaXmmfmXDMG4qpbB2ZCt00OG4GuseI5F1e07EC1j+zIj29L572wz2THetGMb2O0XuhLTRf/1kV2YreWCLZvKRCKWn11x3YGUKzrKSIgU7u9PZMgLkCgEs3PUV8Uqmw28eyXpsnUbdNreI04Ob1VyPrdtpnVb3rEecmthl2j1IEpwGqU0pZpyFR0cqOn2FSNAVgJe4nBoLxpnQOiYpQN391ucWPGhdtFV4ntY9GFshN15ITNKNV2ieeHzad0w/AclMQoeRSvsfGt1v7Guc08DM5Feva4CWbWVIfCt0qAYWqqrVVrzejN+pr+Ps8e0KXMi3nJy2eJp1CmdsFka19nVbVl2eCoQHJC+aG1I/5fcwr4bRH9VwwgbhLpHbbhUnapZWwIVNW/FlhE3QyoLVdG1JsBYydx0ZJ8h7SjTY7C3ac54KLsGki2OmuZycAQJO9yMCOlF5557jtlq1/NhxIRfzS94ATxMen1/FYae9fowSVW68Q93vukWGEeAe3XpPPnxekcaQ3gHn8Op/dAUUkTxayuQH2M0gRbrMhV9E1VCguS/4A/uoKX/+5pX/8sQylsBsFaNC/uEGAZna/0ida32fokNsw5jWh8eZZ4EKCu7uh0LFp6ESokAjev0VYtbqRF8jLAWl/QNol1NOM23QPiWuqVQWwyU6yMBFwS+Hw0lQyUzchG6FY1Uc1twoMVdByfqMwnQYqE/rYQu2+UI0OKaMwLfCHugjFzOebSnethJW3Wnr2eKcKmKuE5qwmMcqDWuKUEQSFbu36s2iptZ+R/Lmt/xzg74U+AWf1td+xJXN4y24B7ARxq4FQ4cSlp9o7T117AFbPhKxDR8pguiVEuvlLUqVvUUD7EYh6WFbHklyxxUuFeg86hlXtYJNqaIZ7ZF5VFqA5A+lU+p1P3/DnVx9V07JYVaUVekcoO7QMNMfvqXa++suC3W8qzFvB+peIeS04v2M7kZsB9EWINNxTINl/kexYadPf9r9JWH0Arv4c6VjW6GfQgHh+L1j/yWN8k3D4kYlo6HlvzSjIzYLVh4TzW/7e+T3FYqtPEV/+N/x3SZItfDe/RCwdLaCNckBi4Dp9m7B0jgYwDRCNxoIgKdR+/J40h/HqNiCqmm0qHzJlYpbAp29KF4wdH8uKB3u3i4g129foxEbEheZPkpOsZqfdPyqIzC1gTaGcpi2r09AIzt8knaaJ3EJr6Fq9l2w1S6Ga5DZiG2dc78vkueFNMVBaFEY27h5gxTtdF8e7ep/gWv7usiLd4UeeIYcf1G00kH7qHyhijb6cgUjAfM3rtvHe0zXvd/NE+sza3wxutl57EzNTLxSRnKD7rO6bStPQlIzfs/56ay1e1siuiX40vxalUEYmD7GS7CraPiVNPpNOlDQtCTUMbgYwlrZBa5uct6VaN++QLJJ2prXhejeqSRbqNIgkEsVabA4EtMCZmFiGjWCpmTBYPMmOskA2GDKK0ugLmxybrdit3VcTbut6MZpBVC9xbktXWL3jlEUiaKQRz7fUnp3e17i9vUZ4eER4nlDd3mC57lClBB8Clg8fedRqzAbAdnz13uEH0fY/QwAuYnY8HF4V7FU6n7njoo4JTJF9/WdcDPa54P5TpNoQIJdgF7FaZWGBVBVQ13CbNWJbQc5RbYNL9Z9Sysp0p5kRIiAtea1i/ygZ1oFC/W7iBvGhcMtBF082RHEUx/VfEppPB6TdgXbH3tGcqHcctwhguW7hpgD/9QXLTz/rqhOkYUTlHW7HgOGbFU7vKlpx1hZ8JGd7pmK3li9A1by+HEbzVuHWiOy3bhqAWAMOvA9xWxKdea191voILPAaZ6waTiwdD4P6szqFrYuvf70ojPkMrEZ6ZHOqnAoA65IEcOQwsld2bmnT5OL8jcLiKiQzUyD+EJ+nJQyn9y4HkP6TWanilUjKLcD2z2pqo6rwy8llfgQ2f2F/9ukbtdk9XCRaAbktzkQ75sPNueJ6f/pSWZqPeuzIoTOjV9h3d5Htt6yMkhOc3ykvfLJqkP4G/iToHlnFWpAebj2qM1X7h+9d7qc2wxzTB8xqtxxqIjG10iPmSFYf2I5FOPVi1kEsiV5o2ePuR8Jh4y1RqVTTzMcSE0tK7RpC7+CnhPZrsZJtH23SoWQUwe4xRY18bauMrZOBg4bs3jFQu5aHZP9VB3ppQK+PCc/fUjzXP0V0L8DL733eB0kYUP0gSCI4vyGv3j1GyOJw7nnvzffgeK3OmI8lIJvDpVsAtyvJa/+FSAM5+dJFEVveUwv+fizC0tCY6E2Dv+e9WP/ChGbesAJn27K2h90ReYy+OBxKtEmLvH9m9dw9MOG07hk/AQEF2Tx+q3qkFjh5hbG12u1eJJ8dsVbuuxedlqnFRkcviHgx+a/W47tfSFcZSkJjIsl7hS19Zg6ErMFqXpADse2J7ity4M/7TYDDD6oR0WFXNtGVDn3akSMU8tl+t2dhVFN1BjAXFCX6Qr81L0pzeGHbr6J5ZjwEl3KLn1GnoWHnRf9Fn02iQVP7Akjknw0BcLNqkLqC1hgKQi0Gcjt68oUiMo1XRhyqcl76GQi1AJakBXPvZMcP3t0DD4+ACOLnr6hFkPZHhOcXxtGmeVV4XyLzYRzhtlvq8VSLJzo/AAApAHUORAyoXin5Y3g1zOfXg32s9c9aEPLkoZSAi+FAaVmoZlfbX5kXxBAg3kFqzh6QH77BdC2q9kxZrbn0xQzHLYBTlzdTWtp0vWzooIeaRCAtBZZLjm04258G4MMXcv91pahFRNrvgdMJ7nc/Yll5pG2FVL9F3beQ04B0PBH9eHyGO56w/tyi/f4eEjc4fSP5PUKn0OPIDM+CS4aBTqWyudQDGBdbHRWdEa2qGm5mLh6OfDWhTJ7KpsmBcXL+DPiZiMl4a7PDBU75NRM4xdqU95J7yyUgH6YA8pQ+XnvKroQGmVcHtmkJJFv/mr5guubnaF6YVCwdX1uSHsKwA0ThsKaMPA5dAhzgngjdj7d2z7TK0cB36e4IEOmZrik+bB9KYsMhKXwexx948NJ/XefCa0ZuyJHxuyZSzF+azKx/seDK8bhLx+upD4T4JADtMWZXMD8AV3+KHMgT+bPzWquKCrkFb7rm8yBkmCDPTAyGe6IgZmltQbZ9AjUDN4Jq0mcysL++fYlMRoVBoD6k7FlBpzjC9HNPNKL/yGcb1JOdtsJMspaVbm1Hu+fVp5TRKgCaUKrF76jrRqFhayuTCIRA2Ll94uE6bQXNC4W/w7XLrmlZHDoCy1K0O5W20UE1CqsPZVx08kCqEqonXpcf2H1QnaTsO6EocajJ9bYvRdPizybEk3y28MCmyHDpypyRS4+K6sTXlVCSIIkcK12dATexcwNJ0D0wOSjVp+Sf9xOw/iVivBacvhOMdykbCNn5kg11RmD7V6Ih00ay4ZLtBbMjpsEYOwnMs0QikJqSgFlSZ6imeexLYCISKx2dvdfOpY0mZ17trEeeHdDzNlOBiigaPRlqXtey4hmeA6LqcyoUd0ozJhtvmByaMNGMoaDUr/Xd8wZBW1eZbJkmytYKOzskI2JuZJK6+hRpAPR5RP3Hj0DfYf7mGsk71B+ekT58hvQdcH+L0x9usf9NldGP0Osk0RPDoJ3HbtEOp5WisZrEWHeH0/M9OeBsTqKHBIxEx+oD7znbhxu28MUE6VrEVcfYeTohHo80+KlqJgIx4dKp163XOdiLd0iLUEug8dhQAn+1oROg1I0G7ZmZgvUVpkS4vG2AwKo/DgNhfu0pdOtVng6YQoQ5DKVZ/+4dM9a2gXv/FjgPdDPqOgzfX8FmLZvCO9bIfbW2IetT0olWCjd1JTnI3vaaPGQBnPKN3UNE+x8/YXl6QhZIQNGZEADnIMcz+r9WkEHhkqZmd4BeO0Lgk648/MsZt/9TRP+4wvF9xUN5K1n5adaUVuEvHTC/Y6TyY1FyG9QdK+D0PasuG87SfuLPj7fFoMUgsGyCowelwZhO4XPj/ZuXlFviOHFMsn2mm0V5aLYYXm6aVxa9LzwAWbFrknPhjGj3PEYAJx4w1akE5mVdPNSz4t9Dh6wUQZQ969VHUate5QlfeFgtajozXSE7bPkBkKlUp/OGynELIhIKBx31QGue2Jo53rGSNIFm5qYvkCPTCFDRzXU33CmC0QGHH/QgHMzuWBRS5cZr9oT4YgWsPwac3nseiD3fp/9Cvj/WwPpnySI5idbrzmdGERoPy2XF5zzeKuoVeajWB1YToQeOG6eDSzRJuBUcf0hY/41r4/yW96R5lldcpVWhTFwSnML6loRlUykwgLEThMjCso7oPzlc/SViaQVH3Q9+YABY7oqSmtP0kGcUGM2wrMi5jyvAny4q7reiw2IShjcuX6+hgfVzQv814vCdZ3B/Am7+RRXm23IW+JGwODtCEuJGJwO+0Mxp2XHuvfHN042UITxTSY6bF+gAI2BQC12zYTahGrQwsQTDnEJjndTMrPSqE6Vz2WMACXnMcb0v55ofVES35cje6Sa9cvw0SH3aIqvt/cTOARMaW0AKDSnRuS0anLzuK6KE9VHPLu1OsbbB0AmGN4nJzJniQaMw6l0xmjJvEbv3TDKRRYc2IdSKiss2YYmFjoAQYbGhY7LoUKtr7Z+fBWlMGY0IHbUf1RlYXDHwWX1MuPrLgurMC/SnBf5hj7TbA3WNcL2GP81wzwckE4t/fQC+PqD9D4Luf/e/wuN/u4FEzmKhZXGJQ6RKNHZdILymvUqKMFlhQmtmuhPGOiFNyM+JFHhiwWxB3gGpbSCrFXA8gi34cx7EB+fzbID8PQ34Nq8HKcL1fY5p0cYBpxA4nleDo6kFkRLSOMLFNROBroXYv+m0IpzPSOJYWdc1M44Q6R/gBHAOCAmyOyC+7F4NHAo9x//KiOz9b32WbuZNqs7kr0Ijue/ZBB/m2w3oojqXjRca/ZyNIL65hnt6Rppm3ggncJs1pG2RhgHh4yd4APH+Csk5uInmC6QxKkAcP1fXQqYZ/nDC+uMDVlcbHP/5Drsfq9zGVekY4UuRmZ9KDy7NgXh4h5bfX/1iGTAVodM1K6bYssffBUEceaiLCvdM/NI+SOHHVMATWuWJa6sMymLsviAPMYoVkFT0Z6595k3uFgZVqx4tgbHkJSrYM96o7uKELBTK3OUnyXxpaPiap28jhrdEETiZjAeeoEDMZuAx3RDONItNEy4aguBmtn8lUah8bzAgIHVJEGmGRPV5fQSma0cBlH6u+qBDaJL6KwgRE0N1rOI4v+Xh03+inbEhVhm5akoiEXpBeKHbWbOPOH7DzM0PyN0XVl1aV4n1Jw93Lh/o1TGhe4nYf+/hRqAyuLFlwLe1v2wY4DJl1KsL4sQE5vQdJwC6GZBFMCsNYmvU4PHzW8H5G9I77TOyY5lB4uYjAeGhevpGEFsGotGEZ1ErwIkBzIyqspW24+c1msd0KmZ2A+G9ro6CtWoXbBqofbXPKa+Hww8+6wlSRWi4OqsT5g0DbawF8y3XZ/tE29nhLSHjIalT4pnV4XjHtZMD/1LEXGJiURb3ebrb6Z3D/vcR1UHQfRWsPjMLDjWTPrcAcRE4Fd1aULQxv/xP8l40b5MsRFuQkRYaCuleDGXojT+rediAYvgkpErM1js5ClAlMfAgFfW7UWpLz5+pjppwO6BSxXzzExPyw4/U9LhJOBgsFTFcrAnpJz336j3QXozHDnodph9gKyJ/Z1lpB1Vdkg8AmXZhEqFdBUcmq1GpNI4iVr8Mr4lY5P3Y/rRg9e8+MKZ1DWQJwDCysGtq+K8viF++IjUN5GqL5LT4SwlICfI//xHbq/8KX/+7NjszWseFFSBGFRpKYdovSUD9wmuVwAQ/1uwAgCKjw73L+rLpSjB8s0b3Ly15/XmG251gJntG19tcnWzt6z2hfTP5UV8eeA/XVhqLwysn3gSgck0N1PUrUQFE8hvF4xG4tO91Hq5vEYeRUITHK8vgEuEDsATIMCIejohWYQPwt7cYr1zmTAx+gvJOyWkvfzDVtuTDx3rwL21hbUPGTjl0PYz7xwD38QFBZxWYKMKYDWka6gKWBXIc4GICppncyulcxiRXFR/AqgOaGvKyR/rLT1g/vqA+/IiH/7rLMJm1uonCvsuaEGt9kCyACk2ZCDXeqlBoLiIRTuJS45e6fMbmRVvDrpCrZ34QhSeVD5RF24hUtW795fR6T0Ak/2mdCQar26hNr57zUX2sq0fJAsZFNRkMfEQgaA/KAGxcqI2ntZasVAHbPzoN3MyMJalxBsj7cuAJ24f8RAFRfSBv6yZz7SN6kTtAdF1YkGqfgeGOPvduRB5WcvxOocBYqo/QJ+yueQC3T7x345tI/4OZxitRJ/3VByZb5iZmAsQsglQExVTcoRNMG8AtDjd/nLH7sco9xEYhGbdqLU7zRvLB0bwwMTl8x971Zo+shu8eGXxNjDhtJaMPdtDbQJbphkG/eWbFGbpE2Pzg2Da5VetnKAx+ZFJyOXBqeKOwsdqiuuViTO4L19J0xaDUPSS12OUz4ghkDapnHn5phZzUtS88CMdbDt2pRq6peVOmOrYP9Ac5fXNhGa6J73RVPPLNcW9eS+7WIXfLz5c81+h4xyQgOSYJ9V7yeHA7wDk0Rg2JhDRP95wIvy9EwM7viFCEDlj97HIwn9UVMrb8LN0DkcHhTSkOkLhWTc9T7whbL2vOeWBbJkoXRgXMqhUxvQq1DQn1ZFbgCSkKoOJZCCCKYtRnFZ7qUB+vn8E0SyYwtu6g5IEoRdUvARhviMIYImDmQRJKMeYmya6SEqHjlfW8jkwMrdsC4P6thtdFUhaDTsheCNQ9SJ74lzRYVkM5b23EuqEx6w8R278M8GPA/MM9qucT5DwiVR7YrIDnHeLXR8TjkUK6pn7lWEtnXHLs/rRg3rREPCZFXbWLhZoTHZMuPMutG8sGMOVBRw3j2yvEOgAuJC00BN6MfKaJVfx6hfDmCn4JkPOANIYce6VtSVeo6Z4h1mmeiiHQOMJ1XZnPI8i0QRWH4RV/z99IMI9hXqGDVD6LBG2E8N+5AV6+xLIgfPxMDuMyucivyZvTvKQs2rFRtvYQbTiD0QKh1Srf8/ezM1pVKllrB6kOQPPMiOrubniTxgnpeEI4HLkaY0JK1APIUwN3cw1cbZj1AfDrFWzecnYPPA1Ay59N44Tmf/gTvvnyHg//29tccdjnc8EqO1YZYVIzE626aImLLPAysZ9VAX4AnEJh3qZKzRqschDm/Vg2CYiEc81qMpsBKRcaOi6wLOJRGHreKsx2YIVjLn1+oGCFvgWXNIJWYQ/A4bcJy4YUhiU1puDNfJ1+HqNKrN0LEdQILEx4DNL3M6uh03uBu+f7mk+5cZo2/jNueP3TDbIlZ/fI4GOTEXkTlCZRfQbvvZT2LoGalAjcbB4Ekmmd6Anpt896uDcpi0AvR7bSWhQwI5an9x713uc1nby2Xm7Uy0CVy+Y66Ufg9J6J7/bPCesPAYDP/GGzY1CLNQOzGT0dv0tYfRLc/OuC/Y8Vxms6G3Zf2aMdGyJGdo15hLYguyl2X1TlfUVRY2gZLLrP5eCdN8C0Tug/8X39gJxM1gde2+n7hNBGdF+cGrOoO+NocD73CYV7tHOObULdCEYoj74UbYa1LM5r3pf+UxFcWovhdFU+k7XQmseDHwwGZ3ClmlsHwXxRK90fBON9RPfZZS/7uSe1BBDJm65FW0kvWmaFe7Z9vtDLKHddHyS34rlZZz+s+fNWzKw+ckIlKUR5pXZnm1nC6iNpFYPf64NkYy8J5XOP9wzO7XNpzzOKFStNMC9ohSgWcBnUssFTo+6T2qpb7/nZQs816xYg+HIWlLY/UrWi2qfLIJ8a/ozM5uGhguNNQtIJl7zPJagum6RtokojKoBsyn+bw2KJphmluQXY/BSw+csJqfY4v+/Rf+Qvx80Kbn9EOhwRHp9yYRuPR8ivfWy8B4zyDjHrW6xlM3qjr/lMm6eL9slFzx6nBV9kossWypTPZD8x/i2dqGYCGO5rNOsVW/mmCVgC3LBkkX2OsTEhnU4s0AF+FhGIB//fNNn1D97DeY9UEQ1I5zPSslz4APxqqE9+QYB8f9/ptxIr/nkpSYLzdBFMidC5voHrO8h2k70F8ldT56lZJgqRyJhs2V5yhRaw/8caEF3AlqXKAjT6+c16kT2rCX64aE2ceRPQtnDTxM8xjoDz8He3rPJjAr48IM0LwvFINeXdDbIp0uGE5W8/MetqGkhHDwE5DXjz//yK6f0WL39oGUC1krMxv6FhZmyBwqrv8abA9UD5rEZnWADzA6HNWL+mPyy7No+AbEurwtBl/dpBbL5SZ6+zVkg977WZ/kRvm1pya6CJdKg0N+WxZE8DCRoItBq2CjL0wFQXBXzok8LEguZYnmNuAdWK2o/K4epGglbcSRQxmgh720HmB/Uh1zYdmxJoQ1Xcor7kCkcv1iL6pB0LKw7jQVB7VuAVPzpvieCwumU1Od4hu55JKNdnal/rea7ORTzmJgZ8l1jNxAaYr0v/caUHefvMz8Me6TLWttkxEbN1L44Bzc/qQjgCh289aZBQ0Ao/cglf9jZbspYcsP4JkEQzIusymbc6ylaFpkHXBk1sJB/+psMRkJJpH4tByqX4dVkRlUmVYNlE+MFRAzAA6w/0cjehl62j8VbnfkR+ts3frEulDIZi6yfh180vAePWZQfJeasBVgcyVUd+ttBQ1DivzSeALn3Njp0RoaaojJ0AoskND+vTN0wKV2qBa21gFFryOXUPhY4x8Z/Rlra2zLcC2mk1aOdA81Iq/gju6/EWyiEzgJvI1Os482yz/akk3u1jaZl1kxrNqE5lvEnwmmhxWI7k84ZC3pTPV95HXqN5WthZa738sgAYuTZjy31reop8xmvyaOJMQ8tsNoLRaXkewwJt00yY10A70RdDYkI60AfDOsCoS8Ird9Wldzh/2yM0gvUvI/zXHePSVU1/fQazHL+s402qClJVjFexxD+EyNZDHU9tw8VcAPyhxCPr2ABYcGSaEFaUqMmWJg1o1OjuIs6ZuNpo+HQ6I725ZjytavL/VQ2kyBB8OYzPe0jbMnHRL2ka+t3UNTDPwDQj6cyAkgBo9uB6kotxGCGV+gerejBOsw4AmokK1NpTr9OJ7IbF44kCwastOZfNGhJibgGMP7zNEGIYKEqBZnJJq0JAK4pVUeKKUgV2kNmUOguqdmhXZ2D1OcI9HZDGCdJ1SFdryOEMLEsZdQwgzQuFiVdXwDzlyYhutaID4ssO0nX4/7L1Z02SJVl6IPap6t1sdTNfIyIjMrOqsqqrNzTAGRAcghThwwhl+EThf+BfJN+4YGZEAE6j0T2NRnfXlnssvttud1NVPnzn6DXPgoukZGYs7mbX7tVzzne+BQ9NklvEtiXTssh5Mfsa8b5G9vvvcPn8Czz9iwWapTBZMzlMT9ENd1I0HKfJYjUUHk2S0olRXdL6iUlmGAqvmXZoKNS+Uid7GMqduGoAYiYEs50Qys5NImKGgkXVym4xBkLN9YUQouRAC7lA7jUPzUNuEpN98oE7OZ8PwTyqksgOArW6k0Ow4DSQbIkznaJlL5mTFcy9LSRdDEmipOqDmGGIRpbD53Az6MJ1t2lbaX4OQDQ8yE0wcIdBeZKp7K7gzr1YD3BdOx8g8NHtkDHQnBPqLXZIPuLFDi9Y3KPbiPwYsX9l02oEkddYiaTdlJ99tgOclUhgafhfGpJEjB7EW17MjfbvAsoHSzgcSEEzus/Oav08kOyUfcHduWslAXEeMXkviJUgFOpZjshf0yKWiHojevOrJa6vmNXQj4h0IELilGkS1JwZ5GtLLfUGaUVTPcbURMVMA3d4XaqnmAp+N5dgqqCR0xpVHLH+uUO2g9yDSG6NxYpmL/WFQcyB/Jm/rm583ZSHM/kIJhkM5TuTEA49i0xPlGjQ0su1kHWZkx08MBQz/XI1EauYMScDgChTxBVTz4ecz3zeMQK5PYsCf8dEwiR/RgOV+PeZbAdkmUn8DkCeZ2toyVwzTyR5JNRI6xTlvmi6pxbrXngM+Y6vt7ngZ6XNsv5+Wj/uhuaZO3qkEJ3ktwAkHtQpWVCffbXOta1JEjsikycGPIUQCnsglkh+MEwE9bBdQHXXIdvUoIVugH1YI3YdvMjsTCbctb6HXS5hJiPEpxVza6yhv37dpOcvCi8kmWP1XBeZOHzuaaCVxibxAuzwjxI4fYmkAtNVZj+yNPTR0ty2sOs9kYD5lO61RU65fkdenrGGg6kE9MWuZ+OSZVy/K0pwOugDL50AEeOwq5fowBQIZCzThLqWF84adiA9fQOMc0AMqUiG3Q5mPILJHMLhOBgALZcIlqQH1wCwfD0q/0v7cyDpN4MbbhrtulQCR/hHuAIT+VAOQHXfIH64RTgeYQHYzZ6d1PEIM5/CjEdwcpFj3QB9z397DzhHqWJGEkU8HIE8g10uYOczhO0O4VjDWj5hcX+g78F8ivi773C53mP3l6/w/KssEaNIWDEIkShGyNjncLLgA6euelk9TMNRJzUpnMkESSF0+bVkFGKGhzEUwHF2YrS0ZwGmBldY0fUAr5t+KBQwLPhpz9UCNnKqas5j0keHkgx+xKFgKUlR7Wc1UAVQgpOEOmVEIGbfC9w+QUo1BPh6/AVfm2qsTT/Awz340NgjJx5fGeQHkhO551Zm7XBgKNJSrrir7SeRU14vzOcpPfEVfakeY1JTuG5AGZoFkgYZxpC4JvkI9XWA7a0chDEdxN1ogIjLZ3Hom5A4Wu5iCplStzad3JolPQdiZsT7nNMyvTJInCwfLCHQOeH08kFsY+eSnifSt5ADToYDP6Itbr7TbAOiFrrzjY5yThOGZ7O+Chh9soNyxHJCpeZ6WG2k6OjpwAU4XJPX4eU65Dt+/sdrwsvVvTSiIxJCfSkRuz2bVV2RUOsvZMfrIWba54A/RwrLKTZyTR1wuGKDUqxZ9I8X2pTz55TPSA599PUwyd+jXbDByw+Eq6PhvRAh1sgTPgexA5APhUgb/HbOAj0S6a0vgXbJZruf8DPUOGPlcMAMq4/RJyHFSuObvEAAcfIziRcV3NB8BUcfhuOlAaQx7caAqfAinVMlvyqN1edUhwh1QQ0Fv6cTsnPyZglUvlBJYNJw0yvXQwq8TsiJLNoiJQ9SZcQ/X6yRuBIqUwx+2LkrKplvB9g/WqDcRkw/epQPLbJNDdP0MF3Pnb81QE/dvL9/TDXNjiqiu5evSfTeHRCONdz1FUxV0n63vodtOuT7iFYImKd1KhRDcqwOorqmRCZndj6ca7aXFavcJ7aPQpRlHajPDfyrJcz9A6f3LCNqMSrZTxxrJvoJzA8PygHbDtH2iesW4fjfMtwrqfH0i+CEaA65Fz/Z/etfBAZ5gcYL6h8JUSwLhWCg9sDGwlgL9B6ndoax79FP82QtGQ0JKsaL3tfqYa8X2NBOQNjkMQoSEIZpjzGXnKRdzT1d8WEF39IEIex2CNst7HhMWYUUfCYrtcxa5pvhaxQkI/Y9/OMT7ZCXS4SrBZrrMcoPO9jv3iNstzBCgDQ+AF1HZOHTHcZ3D5j84S3Wf75EvbQpTEg7QgBJpuKOA6knvS/HA0JhxWSHOeJujgYWsgPtxVlsOnSlgMDTvVj/Sm52vuX3aecmKQei5WvQUBarv+5ObvL8pHgfTAriUbc+ldNpw8ZDJKJcidwwyO6uRwpsUt9xNUU5ZYt7mdh1f+vFM6CfREETkBQCIWcBSxKcCLidSMwm/P18P3Therj0E2rti/WJdKnVSRAi7xHNrnAH9IDs5YCspWiXKwY8RQcUawvd74WcfviuBiZ3Htl3NAdqFiZdZxgSG1WyVIskzdVS0Asg25oUJ5pWLcIPaZYMQTle8fkZf2CxrC95fZUkV6wjdl/wWmZHKgSaBWAbfp6aRqgHWPKq2PL6tGeD81w/xuDbjuFw14lPV07GA7msh2IGrC/pt08nOK4wrOyFOXWr8RIDrtozuvxF4S65ozDZA6182xlfW/U0fK7z7zyOF5YJdBknf5UU+9ygvjTJ2x9RpGglkl+BH/F1qeFUvpGEv1J277KqCBnQLbmaidoodyxIxYbNWzc1KdipH7HRrC/lHt4DUZQhrmODpw28Zn3QPhnwBRvVfC8Kokyem57uf7YD6qvhmdBduPVDlogqGzTAxucDoa89E3ROEDP1PlC1jK5WlZtwup7N94JITIemqVnynNJduFPEMpw8f2OkQCRFAXUo1Pvbn/wdzUhI61JpEMrniMmdR3XXIFsdYeqWRLvtHsm7xnvEroMpCrjlGX99MkbMM5hjAzQd/505Qu3GIO72rBXBA7cPGD2c0ZiqZ6mjwojnL6Lco9lA6tWzXE2JuDaJgyxa6pcvB+RAid/9tIBrmMFjx2PYY4NYFYgN1+92MuG0L8i7cTaRF9PXT2v5f+Urs5MJoQT4BB/ol62q5DoUmwZmNEq7/9j3LKgASYE/+QF2VA4NRJ7DitLATsYIOd29yPKMsjs1CQ7UHbgyopOOWKZUlXcpscoJI9P74c2HMV87jCHLX1mdbcv3onnLp97KdcP/Dz5dYAAIhwP8wwOycYVsUiBMixTbm66X7mOMHfgO//hbzL+usLi6RPvFJbZfVNi9s2JgAna+Av8orK8JfXqoqkWqkv6ywzAJMckNkqQoq4NmeDhty2eJBdYkNUAokQyBtGHQSaVYmxR0ZPpBomY7Mv1NIFlFO17bDmiMyruUYa/Ig/qmZ3skKVTI+OBncnjAUfMLRQxa2dOvh314N+P/cxc+rAuUkZ8dZVqvOLFlx4HJrUFC2REiGWIaHyetgVyo4UO+EkjaCoGsI5mu2A5NimuR9ta2BzAepr98K4VcJ8KexjcmspDazgA9r6l6wmdH4PDapHArX/GQVk24cjHUOTMUEDY7i1r1KM3djDtuZVCbQKJRfUXUJReUJ+TC16hkrSFSQE1bDIXY4AqHId+SKKcBQlqotDCYnqqOU7dKJ8W12ConwqRVla7sFF7XlQ1/zSQ5arMQ74tauR/iHe8HboceuDDA868c8j2n0m5sEMb8nNo5lQajO1l/FWKOI7a+408xKY6UqKnSZN27o5Rf0/1u1CkcSSYYipiimVUW3M2pfsm3QwxueyZ5BJlM+354frrJ8OxyxWGkEJr0+6dKga4apmITYloPtHa4V7Wh11VbJgoNHjZI7nbazKm1rS+BogbyR0GtZA1oAtCNInqJLc+O/PPtnGeSnhswgpDIOecikqJFEYJsh+R1krJU5NnRddkpf0pli+O7gNk3e7jnPZBnMPsjwsMTAA6t0ViE3Z5786KAnQKJKX+ogaZBv9vDVsKmD5ERvA0HOzuf0RBuvYGrOcq3C3kdrUgvW17A6Ijwag4DwGIeAEBWh6YXVYo2MVKytPjrPW5O6qmi2MYHovJdCw3qU5Of2Hb4Kbz/Uy7fH/0+gOzURpD792GCj31Pt7/gAetgANhRRWKCTNAmzwizCC8AwUt3NQGqEnFUwrQtL/oWgHNMR9vzwYvZyQfbc2oa3gA74xDYlceMemuAHbaT3bgWLIA3x/iug/l0D3/SmEQAaDuSFZuGGtkTEgg6XXUYuPMlzHjMZmG3B6GiAuHhCe5pxdWAXlxj+PvjMaBEyfUm8SUAoP/hR7hPd7h4/xqzz5bYfllh95kVq90ozE/uYHVvqyoHLTbJGUt2r6nwCDLQy/tXI5ysH66r7uSSLO/Abl0LtxEo3x1MakB8SdRMyYqEBLmTtf3QlAFILH399Vgh6XWT7AlykGyRSC+2g8Q+C7QoborBSdyxTJvKjC6fODU3C77/0Za7CrKXY1qFFM+c/o/XMlGp6iACCNwht2cDOQ8R2L8lA1xXAe7IYBxfAc1Y9uGKICjfQJ8vBwTDfXpw/CyNaJqVtBgyvp50PQuJTpbD2JwcHNYPjdrkfUxkOeS8XsUG6X2p6sAdWWCqhyjEwwHObZZsmtwRKPvhc2nnMTH8GQjFe88Id0NjdX0hDPY5C5FKUAuZursZCZX61SyQEKJ+Ik2ANPNqVqU8BES+n2IdoWunrObnehRXPy22fsT3nEmQ1vGGjV5alwlJsZ3zc8qEi1I9SjLhlRYmem5k/bBeUO+FfMfrbTEMIBo8lozLKpnyt8OzQ4kupYuuUQItUSEvzovaVBsLQAYXfTaU/OhHbDazmtetOR8aYdshISZqpgQMiEu+432t6pRogH4mTVzBpqadDwU2q5FWAHr/6XNipelRPhDAJgVBEBMp1moA5Ksh8tcERVJkyq+1qT45g2okfs7Av0FaASVzHyU4Hvj91NPAduSGzL47IPvwhNi0QN8j9D1i23GKP5tz9y8y9tg0CBqJK+c2PWwy1itrgKZB3B1Zp3IOjDBM18ufj8gOJVclcTiXmc4o+2gMTo7ZEYA0dDBIMeR69rJBjumsB5AIwd04QylSfP2KovdPX11PaZ/3fO2i1lNDvlNjPtYs+9LWHz/hAJi8kE/bSQPQATHC5AV3JaVWBQsI9B1bOhLZyYg/zKsywCDmLJTxcEwOgyhy+JEV8ttwA2RH8bAfqcFCHEhzxWDzqJp19XRPcia5yJyuSYhw50u+pr5nCELwiN7BVhVeRCYGjxh5I9jphBcvBN4MbUcbxjc3fN/3T/DPzzx053O+z07kGX1PlMEHDBwK+fD6Dv0338F+8x0ufn+Dxdsr1NcjdBOL5ox3DCM5ASPmHMWe6xBfMGVOs9STQyB4WKixTTeLwnam3W0/4rSu0sKsQ4rXVHJYeih7XkOV00UDtEsWCJUl6vfppoMzXYLkpY/U4pjc7dgP0kLTnnimOwmAkQOnXImD21yQCauTDztsFhoWWp02VDevQSq+4lPUzckUzrcDv0EVAGreoTIsDVGa/GiTtFBJhhobHCsWv2w/7PyV2KRrGtW+60GbfBq0TwxD4Q45IWvbxrS6oAtbTLLX7ADUE3721GIT+i1W8qyUJKs1F3Ioy/qlWZiUlwEIPP4AGk15NgzdhM9e9UCUpL4gx8B2RlAFFpPmjPeAq7laiIbTrRUSHMADzHaDYqSbR2nmuSfWiNms5oHUy0or37KY9RO+l16arHwf08FaPnNt1lxIsySFUxvN7Mj3HnIgzHhf5FsSGuvrgPKJPAxKxohIxUwlgHIwB5G5LRijnNW8V0b3Au3LZ6Ne+LZnk9WL1l8NlfpqsJx1QqzrJoAfDwTfaLiG6MW2FxhQTI3cTSoSacJ9FVOB9AWfo3zLv695HadSPP3vXHwMjCcvppuwMdNmRkmcCCIdfKZNtEqL9XMzPWDlvVg/wNuxQpKuaqhRvqN7ZTsjMmk9El/HKhEVSL4Bfs73mm957xPxMUnHryRoJ7yi6jGievY4Xjh0U4NiF+A2NV1qN7vEVzOFVNGmJQlc/PONMTSDA1Lxt+MxzHSCOB3BbMX+va450BnLvyd1oV2O6OAnqwgA2HzlcfPLBzRdhs3vlsnKOTr2HilR8+Rzzg5xOBuVXKiNIITwPbYYn83hn5+JVtdN2v8D4Os8KfJqc0/zoD7V7lTbs4wIfpu/kBNmanagReqnf4kpfx38tgO225cQgsj/4LRhaOg0ZB3cqAJWWxhn4Xe75DTIh5sfsrpbwQipTJi/VvgAoWJR6kX3iaHJSv9v+4HAEsfDBAxjEI/1sL4oy6SJNEVF5qQx/HbZkHwIef3mcBjIFB1gfvgAd3kBnM3gijzJLMx4DMzGMPtjgpRMnv3RtbRl+WJH4x63GH93S/LhuxscPp+jXjrKoaQoKgSd1eKGqPs2uVkUBlZ4Mt8N8LFa6CYdMJAmQmCAGbMDWbPN0qDL6XOtblfuSLKWk0MlOf1J8hoEytXJzkUkD3tlgitU2I8jqnuJOY0mRR2r90M75/fRqbO+Eoa+8D1SwIsedvbkfcw4OY7vWJwTgSjjIeTlUFO3LZ8hBQi5mg1NzNTHXSDGQna4M4b9GIk+PV4T7hzdDRC/yupIXqPO3Y/4fm2LlPOuEyXAggFZN7gGaCYRx2uTAmtiRv0zDAsx7CAR6yU18HgtRk1ypuU7FirXIBnb5Fsgq6nPVw5KzGSinyJ5HsTMpGbQisbZ9kjWvNHyPUx+tNC1HO1PDao7JCRv9IOoRTLq0stHSsOCxKc2l0GMUqRJPfI9Vk/cz+eHiL7UZD25Jza8J1QRoEz76AA/5evQfPt2IVyKDzYVmiguhTBkbBOBMUnxYaJJ94M6AZo+wovqhVNnTFyEbsJ42b4yaC6kYc2GA17JvLYnaqV77uzAz92PZPc9HZrEXhQx5YGDkJpeZXvly+g9P1jcupN7yzURxyWvU7Hin823InkVPoMOS92Eg8Polg2nSisBJF6WRvGq2Y/yCoIb1h+6ruV6hn+/HwmCVXA9YHuTGmv984Uw4FU1QQtwudbSRHVWnmG5/qP7iGIXkO09pnWAawPKbx7gf/wwoNHOwZ7NAetEH08zN3W2NXkBU+Swo4peMN7DTDn5m80ecbuD324Twps091I3sl2L7MCHyNURu3fAxc+f8WfLW5wXe/yX2Wv8899/znuvliZuIuekkmr1+8n96CQVUI3NkrkbADgLdyVkxBi54piMgd2erP+qpCLN2RQOZMdjutwejxxEAdbAvkeQwdWUJZN6vUf2IlDglC0IJN9/Pn0DFGHHYymMsiJIzkk55XPeUzoXuU9x50vuKOoa0VnUZy5JHpTIobBcyGOCvvvxsPPRlKjBcAVpJxpyIxeTh12+7Uj4EBa/KYohDnGzhd9siGqczeCmE8BYhNUaUdcXeTZEKeoH1jTwD4+UCwK8yfZ7SjKOR74/54BRBRMi3GQCdC38ag23OAMuz5H1nmzOtkNcbeBXK9iyhLl9wuTYYlLkCOMCx1cj7K9degBP2f4qW1I5oBKSkjOXNAbQ3bHAaMruVyml/vluDjSW0H75bJJ5UCU2w2pAo0QcYwZ4MjsARrzy1fQjOwxa5dOOP9/YwahJ0BxfDORDutFxqht/orSrWQ4rBC1eehi5OiLMTErOa84jVr/iazq1V6YsjQd9Px4gNgCJnawPZDRDoFG2F9mlwL7dgiuaYsV/w5xMkUa8ArZ05LM9kD2aExvlgVxJYxVFUniNuglh22INBPEE1wO2m/DPNAtitLoXV2mmbQZ0oFliWKFsgcmPVAHQSZFRv92Y8bu6UkKkvlpfN41g+N7znRjA5Eg+99FxbdUsBgJfPxkmy91bfkimNzRmUta28AKKlRUfeaIEJPEC6oXeSdJfdEjNbHR8/0xuFOKiNFxJT42hEXY1p1DXDJOaDg7RmbRXV1OhrIk4XlgiK3sjz8eAfJFrwDMm3/N7azpc+cim9nitIVvSdE8AKOdkLs9PiZRyqkiUht+YwCKpiE7yYJACrGsNJZSVKzYgev3r8+F+0ECofnJCBmyHZz7xF/KT0B2PxGK3HrD1qUskG8VopaBLwVLVghreaEql7YdkSDZTSGcC5HwynsiCIpyaAqrNa1YPhTE/RlSPPcq7I9zTBuFphXg8ou97FrPRCCkWFeBQJQOaXZxxNSDybjMeI9Y1VwTTSUJuYR1Q5Mhe3ZADcJDDS1n0gQRxPQfrSyB+dcDzeoJ/95u/QKgilp8/4+zLFTZ+gdGdTc9xckKUwVXXLoDc973uEzhAJGONxZy2xQDQtEALWgMXudTdJsn0ITb90XuCjnkO44KQ9sOAzIPoAbyHKUtkKneLgZOw1d33ie//iy8zpAuZIkfYH9lBKfTtHOxsCuRZaijM2Rzx/pEH7XSUHlzeWPRY5wM8mP/YXmAggcWS1l2gE92rqiug7rXyPeDWNfzdPYtrVbLA7w980xJLbIoc8IFM0MkINgaE7U5kFR52PkeQC2WXS4Yi9X1KEkzkyK6H8V46MQczGrHxiIEMUoDkwh8+sBG5WBKaEn6COjE672FGI7hDjcm+wfg7m9CCflFh/7pENx525NkhpulYbWT1YdamqpshyVX6aigqCjf2U6R4VwTAHYkAqPGM3uz5lodXP9LEKmnEeiTXNGXxan5A8jmQCSFpY6UIct86HCKuNenhV0fFfCew9lI4ARu+J5q5ENqE0UbCJIcu3TcaIcF1U5MapepRSF8FtetG9vFW7HIV5lU3NTV5obWySQ1oe0YzmGg4dSfzG0e0I4tDZC5lZkMwi0ol/SimgKZCiH7cRccUeatTXi7wdSaEOfVi8CMWRdswsZA+GWwGspLXJEjzVC/50KlrpqIA/diIh/yArDULKTC9oAhHNgPc37OhyMBrqbanxxvxqO+GOFVauAoasQfcWvbUcr4W68GQx3gWkm5sUhEBxNbWAtWdrAiWVAnQVc0MZlGyXig2dEFUjooG8oxvI/ZvRPa3GhqHw5WlV8GPSHp0V8vzMBnQB22IizUSMgnwfeV7ObQNkiwykRvl+6VdsBB+1XiqfB5cBJUtrrBwdCzG+Y5NBpU/BsfLwfTHdkDRm8EBUc7CVqJ20ZlEdLUtKJcWFQHMMCgo+nUadANZ/9gGAEwyGEuNHfl0gHBX+BAMrz3oTJnhxZ5blUL92AwyQUHzENgcjp/o5pd9eGJwT5Eze8YYRrm3LRVoWcahynueuTECIbLoiw28MVzV4nBAlD9rrRXYnDB6OBzIsBd7/OSiFwJXAZsjxvcTHK8y9F8dURY9ut/OGejVR2zXF7Bf7WBf1eh3I5TPBlbWuYpAKsqdeBjaWCtK6Qa0hLvTgLjbi1fNlP4APjANsmle7vSNIfLxEyKgKQpYDfkTP54oTVKWJnxw4vcK81smCcG5F9NwShfSjsJYIgh9z/15zl0L6oYwRN0QZtE/awxCMRjCaJd36jblavFUxuCSpjeMRgCbXmxQZcI9Dc4wIcBOqfWPhyNiy9drioIOgMqiLAqE9Qbx0+0L9QNvgpCaIURJQ9zx7o9N89I+ORBliF3PmGEAKYwBYCMBAN4j7qSRiJGOTQLP+IdH2KqCXZzxHAmBjUKMyD8By68LxDIH8gxhWsFXGXxp0c0ydOOfWFDmhCm109RJuBXwIshBq5C7asTbxWB0A4Pk9qb5Bpn4/kMPXIHsVK3QTyK6uRCDOkEF7HAQK/u72GIgvAGJ1GNV7RGBYDnZlI88QdoZHwyVqfkRJ8JiQ7lRN0cykjFyv4TRcMjzPomoS+B4RXi92ArD/GigpKO0Sz8zaT0RMnEZ6/U10O60Oed1OF1NsFHl6+pF786WXDwX5PDLdySG6XVwLadqE3l/c+Uh+3CZRhHY+KjNse1YPJozk+B2Y2Nyg2RAEoBAK1LdX5KAxWlGffOVo9DOh8865JQAhgI4TgduQX1FwyAqUUzi61T3RByU4JQUPUEIaouIIpo0RVuDpH3W5l51364VD4axrJx6g/oa6I4ii5TVRApXmg6fQ4LtZeLMdvz/ZsEGZXRLyJkQvBlIdeMhIa+fDDpzRYTISudn4rMT7b0Q+rQg6jpBPRAYGT00g6fGZa7mc9dN2S0pn0W5ElGRzpbPqjov2p6fjbqCuhZJmqbBO641qaHQ5sNXgiLspQmo/hjlCyUAQWiVFKwE5VNeS3aQv6uTvSA2yq8pDqJGEIJ3Vg/XK0oBtCdogqorilXE7Ice4+/WwIdbxBDhf/0FmssK2cGj+LAG1lsYrUE+kAwHpDPXlCXgLOADwuHAM1hS9BAjUeyug5dz3FYVz/umkcZC2PXKE6truDxDyK6w/6rD//mr3+B//uHnlNue834s1sD+ucL8ZofNTY5os2QHrco1mBO/G3n5WuNsP9TufmRgtvSuMfMZXFUibLbsqCTAL6bYX5cG0hfqNqntseuhgUF6fXS4z5KFL8CCqD7/wZMP6D1UGWCKAnY2Rdju/igDICZKdAAM4RSI33Dc7oYgnnFOtyipkyETJ8CgkGxMhBqVVPH78sHSJL1eGobsIFKevUCCGRAzO5j6aAywNQj7IzskuWgA2CS0rd7TvFhg0XajEcwXn/E37h7Te3DzeboxYuBNZcuStsE//ZpO2Mk5xzXD4Sg7mAkdCuuarlQAQl3D1CXC4/MgT5xMXjg72cUZ7PsObjJGnE0w2h8Rz6bY/OkS0RmUqx6+tKgXTgg0bKb6joUk5FJoS9npFSwYtjWJDaz7/zSNJLRGpqOTbt9EIN9od2+S41fIBilVs4gotoP1MwIPAG02OM3ycPIjkHMRWCiP1yzUo/uYQmDynRRCIO36Adnnz4aDtNggFeKQESUAhKwmE2l2YOPijnTVa6UImzDApwrBO28SqaxZANGRnKbsZfV47/XhFphepVSJWd2BplBO0ZGIaEwyW+nHhN9DLo6ER973dC88QVgKwAuUrGQjOtVpgeHhU66kufBIaYvN0qTnJhUHeW3aBMVai54cUi2ATAqRkNUQgePlwJ8IjpDt8ZrTuZPP0pdIqofd60jr4n6QYGYHSsyyo0T3jgy6MWgdPD6ZjCE5BYVmMgzNpF4Dt5fPT6Z0X0IIiVLUO8B3w/XijQxACqVK/9QMSE211N5XESzdxSvC8WLSk5WHOmfi5D5VEqOuwUiEfblyU64GwlDk7cmRq9C7WnB78xI5oNvlgIgN7nvDcxvTWgSJkKZQtaI6mn44/mgS16o9k2ZLGmJdewRB3pJ2PzPpuuvApwogvX+83F/VY0T1FDD+WCN//0RzNR8QfYA9X8BPWJDzhwPw6R6haYi0tj4prpI7HgC7XCDuOTnrGhghErU+1gh1AzefJodaRWKJZPthkDv5im1HMm0esO9LHB7GmEqQlCKZdu9wPBawkx5hlUlTGtNnp2iVdfq5GNZAIek6z3uzmxiEm3Pg6x+B3Y61q+9gvU/yP2sMUYuTlUcUW2N1BeTrbpNfQCLqxwAYgyy0HZJxj8AFsWlwqiE0zgBwnOxPC7/9qVQiwDju/dF7QjBl+QJBsIcOyoTODoT/fW6SaUornbk6rsVs6KpdG7F/a5D/y2e8m2/w7cM5/D/NMP9GbUQNqucAuz0iKlwirzmGQBjEOeBYk1CR54iH40BQdA5wluTBtkvvw2x2dF4CqJSQ6wLnYOARewlFkuIOSwKimUwQj/yAjPo0FzngPcKO8JSdjOGWy/QZwJpk9xgOXFvYxRlwrInOaLfbdfC//5bEl+0OZ5s9JZdHdrqTtgPOz9BdTREzC9MHdPMcx4uMYSbGoPBIkqEUazsi8qLJdbqjBXSKiSLtMsm+V70CYIbJPZ4cRNlhSLnTfGwnfWZfEVJtz8g4L0+4ByYiGav4kuiDepB3Im/KdwNXxAjs6I6E3H1p6D63Fk34lA0EDNUG1muiHu+5/Vsjr1esky3QT6PEF5vkYqaIh3bzTGXjwKHTVns25LV342GSVHWEoiH9lKStNK0K2audDeQ78hBMcmpMzXHD6+IaEi+pMxfjpEogX0+CZ7LuDYKmWDZHCusjDjwOHiTDa7Xy2dqek6Dph3z2zBMFON7ws9OmJ98ZtMuI7N6kQqiQZ/ls6DkBfn6ANB4Hvu9iG1FsBhvq0R1fp2uREgXpsEiEpXqQiX6CgfgnBNlyhWQXrUVz/9okfXk/JXJBl0STGqLsSJKn8j5UMfJCAmsGhIm+FSe/Jk1zQjgnSIRPlcVpMFGQyVe5Ob5AQuhUAcBvhqQUSBD+GMP+Xtjz4yeuHjRPIyFsrQzFyoOJJ6/fI6UQAkgcK0Vx2EiZ9PfS5yncomYhq4g13Rd1zaPrDtX1ZwcedU6aodFdxOI3B2T3m+F99p4GbbtdKmD50wrlfAbkGWJZAk3D+iIe/tF7mJgNBLgt/67JMu7LAWr9iwLOOfjdflB45eNUw0xVpmHQaIHVybptUWw7xGOO2+MMcDEh1r4QHwtv4L1FNWpxmOXo6gy21+HnRNmWm5SXEB0A+bciJN3UoLmZoPjHBqHv0pRvF2dAliHWNdD1sNMp3W2LAggBoWkQ+5ggf3X2Vd5eONZQwzsAyNKOP/pk46uEPpVVDCqBPnVJsI5+/84OUIQxiPsD4RPDvYsZVThNDaxfjwHpTFU/7keg4YpAh3pw6kEZhRB4vDHAn26xGNX44XmBrslQ/cUaD5dTTP/gCKs+9dwXeY+423E/1PeUMAL09p+MpRMKRAB84J+JAXF3TEY+/vYOdrdH9B7u8oIcgekkyRpD3cBWJU2E+p5eAt4DHize6iIFAHnBZsqUiJEQTexaugf6QGhGCYjtQNcPbQfXdmmN4NcbIHhYr0TMFsEamGcPcywRdZfVtjCrNdzX4E2dZSiWZxiNK5gQUL+ZIWYWrvYImYEfORyuHKI15Lu44RAon5GKX75jUpgSwlynO3k5MOzwuWlDkQ4xI4eMVwa0mgXRYU73wgqR6WGsjGpfApkU0mIjEa6TYXVkesC5IYpTVwV1ZpJUbXTLYmI7TuBOpiBfkQegFrfaKGQ7Fp5+zF8r13xwuvGJcZX+W5oP2wtRTN57dkQyL1H4uR+T0X68NmgXJD7uXxvEyMbYeGD0FLB/5TB6CMh3gUYkln7o5WOD5rxMRj/dxKGZ29Rc+xEntm7KokzTG7F79YBpmQxpgjRHYkmcOBkN31dWU7rWifnP6HZQWbhe+BqBTZQe8Lrvdgd+RprxrkS+fCfPe8PvzdAmBglVj0Rs2rlJ5MF2PqAAuQfaMdAvDMon8hDahaApR/58GKCtkGSmuoJKhmIyVed7FsBuxmKZ1Vyb+NJIaAtS0JTzA8yvHIqQn3zGwnNRToiV4tedKHCsnHfJw74cim563vzQ5CofRRsFPQeTnLUj+TUTa14jjc/x6iQDQn9mPqAl2UHuWTsYNLVzStOqRxYrLei24/tJclYPauC7ATEyPiK0Q0iYenzoc6j/HYQHkNUR1ROzMcqnDtnXHxG3O9irCyBEhM1WjNvyVMThPc/j6QQoS7jlArGuEfZH2ILma6FuYAN5aJx6Awv8SdAP5B9zONDuvWTBtxfnrF9NmzhwZlTBzmZMszWU17ldi3xdYV1XQJAzBEhGXa4F+gjMRg2OkxLx0fHs6WMiZEdJx0yrwwCaCJk4uAKeNn5aP0NE7DoSAp1lUxIjeWfjEXCsYa10niEQNRa3wFO/H3ogGCBGZC8c8LTwd5QWwBYv2fDgBKx7lFg3zFBuGglVcCQZNC0DgCZjrgtOvkc7Y7652t/ajj7u9YVJnaoxSHr/BGFlQHvhMSt6/PDNFapPGYoIdL8O+Jd/+TX+dvQFzv62gPUBkJ2HqaokhUDT8LX5gLjZpaIYDxxFw7FG7Fq4+Zx76aaRkVLsi2/vhrWBFGljDaGksiTXwfHic4dU8DW4kl2YpawkCq9i+Gxp46hSk3A4AMaysRiPCVltt8l5MbYt1y0h0FVxu+UqomlgYzwhaEoUpA8wZZH4Bub+CQgRo+cNHxRtWmLEBICZTtC9vUDILaIz6KYO9dKJCYkBeiItmn2uUr5TR0PIA2HbkylSoK8syiTVApnIqnop4uowF50ceOZkPybQpEo/lWPQj2X9U/Fg0gla9922ZYgKWiId7RknRViF4oVpvxfntBkJZMk5zVM6ZjwL6eHGJOtTJW3ZhgObogGAvF87FCETOXG7FnAPknvfRJRrA18YnP3hiPk3Bs1FjulvVzDrHeJihuk3GfD3v4O7WKK/vYNbLGDOZojHGpMfMviHRxjnUGUZJr98B1iLbl6gmzo8/yqD2pXm+yiFihO8GvT0Y/IdrJeCv+eOP1qD0QOn7WY57J71s84OdA1UpMDIuq4fA21PGaQ7DmRAqlYMijUlvuWzmNKMTMo76CcGo6eA+oISvtFtTBbJkw+ShFnwc3D1UDCDyill9667+MChKIXJ+BKJx6ANGnf1wscQ6F3XZtD7Uu7jfMs0QG0eoh2m3H4sjP8J0MlKCQaIOQeuYk00xrYDaqQGWP1ESLESuwsMz4y+xn7M1VfRDOsIE4ULoaoRKdBGpn6Af0/ROHW5VNM1VVvxvjDJc0BXGLpec0cMJljF8L5VwQLht/BaIu3ylS/gZaVSbCJGTx7T3z4DIaK/mMCEKCT0gHD/yCLddQgxkg9V5FRb+ZA4ZpCVKMoSJhdC32QCWEvUQPhVse8QPc9Sk2Us+DHCGAM7nSDsjykJNlYF4vOa57QY3fmmgZ3Nko8AhzyP4tlgvRsBkiPhS37WxrPp7dYFnvIx4jGDFXdabYy02dM1G9dTMX1+2qT3FXC8zDC6PEf/8RPvw7M5tfx1/WKoNmUJtB2ljQAQwx+5+r6o4VkuqoCALPxk15GmfumeEp9QvfyVdajsyRhhyzLF68auRWxzYHoJ03W80EDS4usNp3vLvuIEaILsNAU2tvIQ6AuorwKqV3scjwWytUs7v+7DCO3rDP+nP/sN/sfNn+Pq75CIjCY/phhjFmOLoK/fGjLxHcmOxvFujyfkRlvwQjEnIaYirNRWUxRA28KvN4k5iiJnVykQVWiPctEzkaGMoCRLBJ+aCv0zqibQhMVwrIcPMgSY0UhWGRZxt4cTtUKUVCi0AvdIEpQJkbuw9TY1KGYyRqzZJIXNjiuH/YFogzHIfks/AwCoxiNM51P0l1P4UQZfWfQji77iugaBEDQ/v8EgRrXieiD7kns+3xs05zwIVQ4EILmOAUiSMT1IjB+YyQpX69pCfz8/DEXZj7ibT+uBaJKFrk5s+RpJDpZ84fV7BxZCXX2cRlMrO7ybGsLLGSek6jGKKYrB+C4gqwPcMcA1AbYLcPsW5tv3wM0VTN2g/+EDd5DLBcLdA/0k+h65SHlC38P2PZwx8AD62ztkN9eIyzn6WQW3LRE/3rHxuzgHsgz2+zuY6Rju0SC7nmP98ylG9wHzr49Y/2KcdP5+RE5Fc0Y0p3rg6eNlUrYdFRbtmUErv59vpbhNBe4emZQWGfKhmTgl8wHDLtwExv7S9lam716ncSOoTkRzRkb+5Edl+ZMX1M4MxvcB3UgsfQ9IhkjKIPcVPzvIfdNPaPsbraIIRJqyvbDuJ7JalEZF/QX6MX99dE9egkpulUtiLGBXg01yvmPQlyqb1GJ7dB/R9mJ+VABdadJ9FhzXPtmBK6Be1lx6TbrUFAwmVgrFJ+dNRSXkWVHVjBL6oiA/yqXS1ar+ulpKZ9rMNBJNKw1GchtNJNeYMjlSg++GlUS2F/8WkY1y6jUYPQZM3tcovr1nxv2YSqlcpHZxVDKh1QeeW33PoaTvEfb7xMtCVSLu1wmSNzql5+SxhdUaieAn0m1En6BxOMczX9YCxjnEyYjr4EOdTILMaARrDFfAAPcmWcbv/bRF+bzEflPC9LKWFC5EN4+yIiQUZKcdfEUChmvlHjEYOEGejbSqi1wdGQzUGxhRBGFUJT8eWIM4n4jBEaX34VgDsgJgvZKAPq0Z/xX7X64AuAbgcf2TYqR6Qi322gGlfUJVIhyPLFbqCdA0JKhhzOK7OyJ2HeL+kDgFdlQlB7loCB+HIiYzny4zg1TEDVNYOwEmv1ij6x26dYnMDPBJ+WjxzeM5Pv/8GXHRURlgLD94q6eQdNUn0DozDYQXEEKCUuA9CYAiMwFAUsVowrWC9/w+oiKI4v4H59i5Ho+IIcItz2DzKX2oux6wFprFrE1HFI9Nu1xw+l+t0+ol7roUzZxiK8/miNsdoa6zmXAWXEIG7OU5Yt1QJ+s9VzRFLh7XB0pbsowWkvreJMgpygokrNZsbARGM94ztfDYIGtbNj+RMJsZVehfLdAuSn5OM4e+NKhWniStsU2wP/XXJKKN7kwibKl0USWBvgCyFimcBkCyeNUmQM2PkjHOWJjtUWQ14LSvfhG2G9LKbCfJfuJgR0IXHxCFLMlk5o7ZtRH5nhB5EJOqfB9hPkbYNiI/9HD7Dt1ZCdsG5HdbmKYdEDIgISzRBzb6atDRdsBqQ7TMGIRDi3A4IHvzmrvO1Rr9Zofs3RtaUgPAwwruUw9cXzC17Fe/AJ438Ld3yN6SsNq+WaCb57j8+wbV7+8Q6waXHyr012d4/Ksp5VZTlV8Jq36P5M9vekLX+Z5ugX7E4lo8i5/9hofX8ZLxuppNoa5txxs2YK4REugyYvIjkQ4NGur1e254/V1DC2V3BG7+uhO0IcC1OYqtR3bwnN66gPZjgcNVlohkxrPYHl5LJkYTZQVCqDVkkoDZmxTwVK5kejXDXl/XjfHk19S/IRRsUIq1EWMgSZDM2ChVT2xG8h3Sz+ymJskH1SDHtrLylALKexHJWMm2SMx/clAGaFnv0eTTL02pwsiMLUbiO5wiZooouFrJv0D+LD9jMjQJ7Zk0RQ2SGZE6BiYoPQJeuDzZAYgT4ekUlJO6Fph88qgeOmTrBu7TI/qPn5jeeXHOc6ssyGfa7RBXAeZsDpNTxhaEqB2zbDhbAZH46XTLMzju9skBzzgHU7FgpmkYHGbtqIIZj9Df3g0r7eD5/FUVVWyzExKMc0DmGAjkA0zoEPYHku86XoRYkqmsTn9KkoYB+s4heoNyb1K4XXaIolgbJNtOsifoOmrSSsg1QDs1iKPyhYbf1CQsxroZnA915REjEQuUSIP9qaJPXQOdKPeiR+YWZwPBTQwV4n7PAirFBwDC8chvIr7I2lWE/R52MoFbLpN3gCm47w7rTXrxJsuBLHuh9Q9OHgLxkVYZmO58IXKYaCMup3u8fzpD/uw46Y0jck/oafs4xo+XC7k5I9x8SoherYtDpI7ybAaXZZyYpQAGzQfo+lT4ACRmpR2PeRjXhIXSOsNYqJlCFEYq4yMtSSj7AxsiVU1I8TQAf19XLqMKsDatIkxVwvhsmOhB6AcAwuMTP6O2hX9akQsgsL8ZjxGrkv4LqzWMzYh4rDepSbGj0bDfMgN5Ju72/LW8SBpRXWHY2RRhf2DyoRBL7HiM0OyApxXs/SNGOW0mJwDiZIRYlbCHmkzeGaG5OC6BGNEtR+imWZq2Q2Hg6oD9TYb6wmD6PiLfB7RT4rHGEx6jDbFJkL/K2AhTatSrSIGCGN988lSUOIPph1amGRZf00dkzweY/ZGvL2cjCGmIzHrLbIe2A8oCcbOFmU1ZyPdH+McnZG9eQVPGyhj5+x0lne58ifDuGuafvuHBNJvyM7IGcbOlAdX1Baf43R72Z++A/YHPzeMTzOefwUyncBIFavKczdnZnBPJ05rwZcPkM3dzjbjbwZzNkd9ukD869OcT9D984OGXZcg+PuPCGjz96SQ5Tqofe3aMKXJX98L0NxdVwkZRksj74kgSJXoWNF3VmDDszXUKLTayQsiGyVY5EdFKdkIArv+mQfVxB7M/wl/M4O7WKP7DM3fDAJsg55A1DSazGfwN2eHZ41F2MEu62o15wM6/CWjnNGfK9hHBGeTt0PCd7qmbpUn+9urf0CwNpYgCyydXzQjquSN5DJro5oUxX67Y+CivgIgJEZZ+NFgtEz5Hkq+q1XYEv4/C/Aob+0I4FifM/uxEzgcMgVUohrNUYXnmawiJ0g8ImgZI6WrNBGliRNmSViiCFgQ7vAZVtxTriGIbUa4D3NHD+ohs3cBuWcyT/XrbwXR9Qkup4T8ibraIbZsIe4mEXpawmUPsfSIFArLnANhc66DUkStl+j5xr9x8nlarNs9gp1NG1Wc5EdD1Fma35wAoKK3u/2Ed/PMaiIGrNzkbin2EOTogmGS/3Jdx+Mxag1gaoLeiXEPa/3czDif0FZHnr+ezpp4ufP9EHsO4GIj5ISa0xN/dpxqcTI+k+VG5ekryFR6AgZDQY4QVF8EsHOsBJhDZ3B+nCFnYcrAFfpEuBJlk9NdOuhU7HhOOBxKakGJE10j7E7V5VWZtBGADYHvCJt1ZwL4t0DUZisaIKYXCh4CpPCwi4tExmKhuBBJa0Z1wVHFiNpZd0qhCzLIk4wPAJqBuYKoSbjYjw7Qo4DcbkvzEPELfpx1xr2QuzxE3W+5iezYR6iYFY2Aak/SlyMRe0jnAGLivfkZd/w8fWWBzRhXbyUgaFGo6sSih7lanPgOw/D5+s4ObTmA2u4ER2nVEH3RdkWXw6w2LUZ6lBEc6N/KziSeSz9i1skcTciOQUAG/2STUSCWQ4SgSmqdnqirmM5hRhfi4QjKbahpkIHHLvX4Ff33Gb/u4xfjfb6GpI7HrYc+X7PD3B4R3r2BCgHl/h/DuFWLp4B53lPBUUnm6XrpdWXMcxKuiKhGdBZ7XVGaUJQ+DUcX3k2UMb6prZO/eAseGDfB0Sg+J3R52ueDr3+44tYgBSXh4hJnNWJyfV/DPa95rMkmYf/oGYb+H++XPEa2FqRuYzR6+abiH7HrCj0UBc2yI8LQt7MU56ncLtPMM+bZH9XFHVnRdU/65P0BdJ+NmCzMew5QFwuEIEyItuGcTZM8HNmOLM97rb28QjcHid0c8TMZcgcjlqy8MqntOzscrFjHXMEHQCjGtWZIrERwJudlBHvkA5JvBztUEFj4eeBGT9+IWKROqGkmdJilOPgRU369gmhZxKozl1ZoQ56c7Ep3OZvxhowroPewPd3DGcDLLMlz4CHOosf/1NWCB8X/4A8x4DP9qCfQBsXRoFyVGP5Bx3i1HsH2APbSIueM/zsJXDu2Z+GucyF2jcFzUpyEYIgL9WBsm/jlVA5RrpNS7ZJjlSNxjWqW4IAricOpw2s3ITlXJYbIYVlS6BvxcvDKe+eJ8RRg6lIDxRlj5A4GVMk1BWcOwFoiW2RT0Y0FKGtT1mpL9lHcRnPBKthHlJuLsnzewD4TfURYI8zGVR96nad++ukZcbwnBFwXCw6NY+DJzxo7HPHvFxz8ca4T9HkZSaJPNrRi1qRIqOsfVaJ4hIuctFSMgLoEJBZaoens2SnXKTKQD61pKtNuWP0PWtGG1To0ErOF5kmXIDgG2dgijgJARsncNh47mPCC7qhGChf1UyGrMJEKnOgGaltdbg86CFWXLAehBJUUoAF9lsGpJ3zSwj6thWJSBLdVia5NvDQCu5kXmmN7DCU8sti0yGgoQMg/HI2Dsi710FN1gWgeUZdrJGGsQgxTUGDnZ9j2DgqoCcR3ZcWnRWp7xxouA64RJbodCr+zvBA2LNjqWASEaIvsGSZusD8FiscdVtYOtLbuHPKcZ0HicdifpAoRACH0ySnsmWEvko+8Q954EPHlPJieTyE4nNAOqaxY/52CWZ2jfLYGwRH63RPxwy8L7vEIyXRBpn8mylNyUGJlPK8JPxgxxxH0Hv/Fw0wm7Wefoo5C4CTKNqAJDlAZ+u4WRQgsImqOojfeEsaykN5YlFQrRp7WOfNjQAAxFNU5JnMoqNVnGDl6cEBX5sdMJ4q6H32yQTcZkqp7NZM3i+d7bDtnrG8RxBbs+sGFbbwYUStwow8Wc0/aHWxg5DADANi3s62uY3QH+6XlwYBSVR9iTFxFHFfz9IxujyRj90zMPTrHODPsjGx21E51M+Do2G04rIjUy0wnVJBoTKntJADCTiZBlbSKNhmNNVGYp8aL7PeKHW9j5DP7pOTWDRrgkfrUmelYVQJGj/fUrbL4sMP++w/j9AW59BG7v+dovzhE2O4aTXF9yBygrmxgDUZ2MFtWmLGgmNR4hzicwxwz4+AB3cw5Yi9kPBbafZcJhiAieRibUvcvuuzSYfKAc7vA6It+z6DcXfPaS8qFFki/1E3rm59uIsBBG+QVgOgB22P9TWy4ZHhGonj1RImMQqgz20AqJeAsgB67OgQODX8xsing2peT1cORhfr5Ad1Yhe/8Jo//5CfjFO5j5DHG1gftE9MBUJdw3AeFpBffqGpkzsOs9G6rdHibPYS+WcJ/ukDUN3PUVG+dXSzbsTzv0lySGhMKhvi5ln04VA6IoKzwnYhOB+twkg7LsKI1ROWQHaEMEIeSp/NnVJvEkoiVi5WASqU+bgmjIb9Bpvrof4pa76dBs6TpBHQppdUwXUP1zavjjDrRxzvfkXmhTku9Y8Ed3Laf7tmcGig6RowphWsEcW957RY6YZzBth7jZEtoXFBTWDntq61jsRYNvy5JnkZXnWpj96CjNNuM5sN0BZcFpX86mhNDKwMOz9piigNH3VJ9Mxgj7A+J2S97T2Zzn7/HI1yEI6RBsJ8MWgHg4YHR7xOhuht3PIiCrFZ9J0/a6wXRS4/njHKNHcgR0TXM68Qf1kBCppcpG1QhNZYO282lAj12f0FhtAHQQU5UCrHmh2jvNSYgh0gendukcz8KpVE2+TFHwxt+wU7bjMdKf04KvkcDygzQQyGQZLXiPDTAeAW3HTsV7+OUkMWZ9LgZA4AVCAMJo6C6VecoLZHBoCvhDBlNGycGW3UpmUGQeP+wXGH+wcFtOVzHGAbZ2hJ/NeMRD5fYefrVON1zaIQlzXjkBsW0Jn8rUFZqGNsKVFJuHJ+S7PcJmB6/mCongx0bBFjmdEMsSJnjCt+K9EDY7mLZjR3aspVEQ2rCVDw1iX1yWnFYFIottSy5c1/+RfbMtyySDUVvMdEOECOtcesDsRDSwwlYF2GnCiruU/Dz1P4h9x2msquDv79MDYqckEtrpBLEoEJ5X1KwCMJlD7AH76pp53Zst4t3DHwUmwbrUcJr39zCzCeLiDJA4S7X6NE8rYDSCu7okqShwL6hSydi2iMea134+o9JBV1YCj6lzY3q/eh9bQoDx8YmT83oj6hFPnkxZwlaVNIJc3fjNhrvNTpw0naOUaTxC9tkbhNUa/e09jHMpSdLMpnztAMJXb/Hpv5sh30Usflfj4u93cNsa+HhHy1NjkxTJXZ4jhgD/4RMQItzNdVpDxJ99BrOW5rLI4X/4wMahqnhwZhnw4Z7rmhDQjRdozyzyDYvU4ZWYLkkIUbSnBY0NenMhTncy6eZbCEeAf6d8JsfiKMhBdiS7vDiYtEv2Ki9dR/QVMPlIg5XjZxOMfoxwz3vEp2f0mx3sbMZMdvV6D5EFJ3OIeYZ4uYQds5nPPzwjZhngW9iHNZsFIbiasuDeeX+Ee3ND7szzjvdTngOTcUKRzNkcVl0/93vgHx75TBU5XJ7B7OjtUXyTpfvGWIt4fobufIzjTYEoQ4fucoPyTuSa9GMkk6hTQqtq9FX2mtw9hXynyho1BjJg8QGQmPrRcZ2q8t0A0LyrU26ABv2YxC3opuLR8GBkzUBu1mQXUD17ZEcP2waYTmpFZuHzAq735LzIuszer4hMOQs0Leyxgb97GIzNhDMG52AnE6KETQu1aYcGrfkcpuvYbFvHgShGogoxAmq69rxJqa2naYB6plMOR4I6RpWseS1slsHfP3B4Wm+oFBDEMzYNTFXBnc0TUTysSD5E08CuDyifp9h/YdAuPULmAAP4UUBmA1arCar3OfKdnG12IE4qsVk/X9Oz0QoByVhLEzuz2sD0AdFY2FHJoTLLkjQxDeWS4ht78sZUlg9jSUgXRDi2RFrgHBugrkVmrAHyUqADUqDThK9StrKkNO5wSD80ep8gCErXTGKv+92eaYCAHE7yQuPQ3WRHNd8YCCihJDqgNzEEdjKNRX0siBjkEegN+klEE/hGnzZjPK6mWDxE2NUWoW1Z0IVAEjsh6h1roCphb65gjzPE/QF+sxkmOr0BvId1LkUgx/1hYIg6IfPJBBzWGzmYlOsgh0I0iTQT1ttU0M1kArc8Q2w7hN2OiEM4uVYq9xOoGcYmCD39fM2qVomjMcNOTGBwM6rSxE17SHnSYyCiocoNucHTZyqkQhgjBEZyFWLXwlYV3OUNr9vDQ3q/se8RtltO3m2Xro9qahEjH/Sy4IH1+DQ0neLUGNrujxrR+PTMST39ghBYfkqyk4fMzqaIWQY7m8I/r+isKId/OnjABiHds9IsQRwd3cU5cLEEVhvgWCdPCDubET3a72HGYx5eysIFuCsE+Rp+vSFvo2kSB8Mtz7iueXjki2iYnJm9usHDr6co1hHn/7CBu13xvbUdIcpI/krse7jLC5Jq25b/3XaI2x3XUOMl4j9/DZwvYS/OEbd72MmIa4X1JiEaCJHI1naLyfkYh+sK9N9H0h4r0zw7cPq3sosOGVL8MQKfTXWF6ydIk+/+LTkDrgXqC6T4WoDPdfkMwLAwnv/TEcYHNMsS+bqDObYI8zHMloln9mKZiF5hMYOpazb42z2JW1WFcDGHvV+xmJdCYK2KZBVrphNak6/ZlMUiZ3GoChhtDlUjboQoVRRc7SgCVpZE67oe/u6BkrSiGArE8wp4XiGPn8PtWti2R8wdzJHFLVYl/JzrqONNgXZik6wuO8geWWDffP9yJepqYdcL6dHVMklq8xwNrBO5alTEQKd2ke9CSJdbIq/dzCTFRnaQPINtRLUOKJ862C4gZgZu38Gu9nxWlLxakcCHEGhXW9d8LWVBvtR2n4Yhqpio7XbqlwKQt6RcsdWa595kAtMicQFMnnGvPZ0QnRGDNQa3RfJoypJNg3jgm5xuteh7hN1+iKEHeO+3bRq2tPFXEp2uCYxM0fFwGNBwaxI6atoOo6eA8sGhufAIn9VYnO1xNdnj+6cl7G8nKDZEeozwRVwLhKD20wPXQvMj1AJalSTKB+inBRyQPAvsfEbU6/ScVMK3ZNLAWA6uBRuDcKwHJ16pJcYawBWSBqhd1U+kflEmr3A4cGdZCdSv+9Y4FCB1KmJwQp4MgII4MsEY+HGWdNJqnqI7NWXAKnmIF52klXxjEK8DzKxDODr+xc4kyUW3qmBri/wQgczBzGYsJrJjjS3Z92k3lOeIXZecChNJwhgh4MSUmBSPdSoOejOEmjI5K8E/yesfSIXYFOLJLH4BqQs9HMjULPKXpDzp7KJI+qD2jYbXOSUbyu4XALDeJHKIyTMo4TF2PW9ygHt6/ZysNDXep8IG62AzwwMuxoG0qQoHiVEOdc0ivd4klq42Hkklog+U7PFi2w7rjsMB2XiMOB3BXV3A3z9CEyiDmkvl5YBm7En4Upg+/TxRU0Q52KMQeNB2CBvea0ZWOAEAvIcXa2U7m/HvCiwGRXlkfWDPrzhNVDnMfEqiDUCnxixD2GxS3Ca8h9/t0ypG7wu/WvP3lcGcFwj39yShCrEIMfD3iwIYj3D+vz7DfP+R9633iIsZTNMh3N7zOYI0lvJ6YW26PvHnb3F8NUF27JF9IwSgroO9vAAmUuze3FD58WEPe3VBWHZ3QPEP3+HSfomnX5fAVKDJtGMmugbI4dTLfngWMbrjBNucR0w+kKipAU5qNR1l65OMgYS0VmyQGPD0mvegdzKQbTjZ29snwFm4m2uET3dUyVQF7OOKDdeXb2EeV0SLmgbmwz38ekueT54ztjxQgmZCRDib8Pk4PwMONQtZ3SKcTYGLBdHK/YH3vBQxPK+ZGnc2hz2bU6f+vIJxDu7VNVL6XN/DP63gzhe8H7sebk8SMI41/J7F0y0WyOoFjA8w/QKzQwu73iPMx0Qi2ha4WMDPKxxvKrRTi3IdUKwH5RLdRw26cQbIWkC/8u3w52wXaCyTO/47Y+JckqO2PfrlGO0ix/4mQzszGN0HTH+o4eoepu5hdwcazpQFyZcxkk+UCaS/P7D5qUoSU31ALAvEUQFrDPqvvz05Ew3cxTnimyuEcQG3qelzcThyTahDxLHm1C21JTYNojH8ta4b5IB6rrUtIJwqOx4PLncS2qZItua2JMt3S95UennOIrQedpTDxOyEKG1h5hM2AkrY9h7h7gHV/QXKJ+5X6jJDPcrxm09vMPo2x/SOhEAt5jB4sUpRK+RoAahaw3FNltJfBRnylUM+qki2l3XI6fml10KJjcnxTyyC7ajisCccLBrY1em9Zyko4Kd6wRhE8x544EhhGJCCk89XiHZRQm4AIMpON5nexAjbeGjykVqqaphPEEapdkX9GEnbWj0YbBcVipsD+iogW7m0P8n2BrjNKFl6bsmK3u9TpoGdTgmxK0s/SJNgLUx+TEXFOJcKHYAXhRD6FjQYQt5PYuqfkiIlM0HJZgCS5BDGpJAiowjCkTtM7UxtkSe/arVhNlmZdswmz4TlGliQLeUdSX3hqXtNe38NHJLpPv26IhV9j9gbNkViCBUBmK5PjNH04Elccto7xShIBH/99OZLENzJV9ztuQ5YzGHXG4TavyjKRq2YZb1kZzM2IJkSUGkAYqcTTmu62pCDIhGE5DA/XWOpM2U8uR9Pg7BMUdDhschh75752nVtIJOAsvnZGAqHQDW450uY3S4RUOPhCPPqGrAGru8J/U8n5GFk5SDf3GxhD0dEY+FfLbn7floDIwZDxT3VK/FYE/asxfRpPuOaYXdENBO4nUhyJfqz//E93/N/8+c4fDbG9J8eiRiUBUzXI6w3sDdXKH9c4aqeYv2LMQ6vjOjRucc3fZSp0QzWwr1Jcsxsb9CcUUo4upPo4alkI6hWXHafp7axrokY37HoA4A9NEAcI5Y5zGFHuL/t+MxOxmx4rQWKnM1A0w6SVmOomsgzYDEHdjTSQgxA0yPOp7CHmg2Q3IPxcIQZVTDrDffUAHeobcvJyFoiWPMp/Ljk6wuUkoVPd2y8v3yDfl6h+DbCGQvcXPK52ewTMmWKgqtduV/MswGmE+S3a8TnNZVV+xn5G2WJ8PX3sACmb18jLIj+2EPLz7htaVs+nyEfVzDHhpHnxiBOxzANkbc4HdP7wxo4eX5N03EgyDL46zPEMRv0fN3h/LGBe9qTjzSfEX2Jkf9u9F7ZpmHQLpckpB5E3t00sHUDe3WJOOJEHwUVNWUJO5ui/5N3WL8pYSIw/lCTN6C8psSfMULMtcOAqeeGDJFRziS7OEM8HF8MIiqfVqVa2G343iX9FTEAeZ48U/TLStONQG6WrjoVeaBDbJRhJA4pepsaxboCokGxzhHdGWaRyHY3MWmgLdcREE8FzZhQF8cUdCf+AJmJyffCd5K6ajjQ4HDgwKF16SdGP+nsk3W8NjCxbli/uyEvwGRUbaHrkJ0WGzsepyQhZWimCUwOy9MfHIWZGbueukuBcO1kwt3l4TBA5HrBe8A03HMw4AQIApWcmk8kX+zKiHGLRZOPaK7QGuRbRy5BST/mbGfgjhIHqRD3id7adNx/c9/e0U1JCkHY7XDqvocQ0t43Hg6w43E6hAn5hmQeZJwF8nEiQEbvYQILA0KEnU9FDslGyRQ594XHYyK+pWszrtIu26qFsjBebckmYJDvkdSnyEWSMErAUNgfYCf6XqR56zvAFoTR+5AQBTuqODGlu+lEBSLkSFgHW5VJ5aE7eT0Yk4mHlcwIWVOYNhsIetstbJbBlAULsWG0tFf3rtGIawO9v1quEJIHttph9j1wPPKQVtlQjC8bIOdeWICasoTfbFLRAMBc7aYhAuEDd8O9J0dBZKLDA8afFR6fhBND4pO7vECcU/6HLAPyANQNQtfAPD3DjEbw2604lcl6pSwRHp94kHzxbmi++wA8PKO/uweMhZtP2fSNRlwjfbqHXS4QHh4RtjtC/c9rjP/9Eyf/xRkRN3kuYQzs/Rqz2xXi8Qj37g0/42MNM5vC//AeJsvg3jucxa8Q3Rjd0WDzc1oUF2uyyVxDe97DK1o3V4/MQ3c1zX02PyOO6RowkjenMdLu7UBmCwVT3rqZwfRjRHYMKJ5bDgJVDhjAtD1XL3IvmcmI16btYNoOYTGDXW2FeHbk5GllJVbkwGrD9cZ4xPsiy4CVFK/ZjNd4eZa83kPTcE0g7GmdkOxyCXQtFRYxwtcN3HSC+O418Cc/Q/SRyZyGOm2MSoQiQ3s1gnk1ZQhO7eFLh2zbIbvfwDQdzwT5OwZnPNgj5YQwBvbNK4TZCDi2XAWFIM+f5zlTVVSNdLQ7D4L+4fGZqERZ8NrUDbkPANGMpkVYb0h+fmJzm72+Rixy2PVOJvwAHI6wxxrheoluOUJxt0P48MjdsjLmZXWlU6ibzYCbS9TvlvCVRb7vkTfnsK+v0V2N0Y+4H5/+cGQz0/mExur1TsU+RlnvhYFz1LV83UWe7NOdILYJ0QTExyQmK3Rt8LlO9SnlL/mYCOKtyi9Ain5VkhMwnbCQNkRi7aji+STnOo4tRk8evnLoJkYswBlYpnH3GmgWCwPIjt/Iv9UHIBmPdTTJQklSqXIFXBP4bMcId37Gs+DpOaHFp0OmkTP19OyKPgy1zhjR//OMMs4iO/UITkmA6S/7ZKOoxS0GO5DnZL8OSGOQcgW4Ww4nMAtASQNjTMkoJcmPTFMNk0nhFL10P4K0jW4JGUzerHHx+gG/n10juy+QCTO52EbkT4cEtUbvYU+g6JjniJsNNBEq3QCtGO4Iy5ROSl2atuGFUbo8I2T/6Q4QPWU41mx6JGpSofBkLCTrB07IAhNvdpzYOz5AVkga4XDgQSRKgSTB09drLUzfJ52skZ0UTExZBmZUcSLoSDLUnbV++CYT5r6x6XvbIh+KqjUnVs9hQDyUhKP7PAB2PEv6WqPFN0QA7EINwIdcm6IsZ9cZCaXCexIH2y7ZT8e2TauQVHiluVEvBXc2R9zzdVgA9myWPBEgsqPY9QjPZNy7m2vaZCr5bjRCFHJo9IEHmBpp1A13hyfumInct1qnzwtlCbc4g19v0H+6hYtsnvzDY5Ie2Yos//72HtmX73jo7Q8wyzP48znMfg97Noe/nFMuWDew6w3MzRXc5SX8/T3vzeWC+RUVzT20ATR5JjIlfsZ2PE4HqTpK2rM5wtOK9+puD2sszLii9anuXcdjhMMB+Q8PmM5eo505tHOHw7seJmYpM0F98U3kvr96JHGsXpoUdWv7CICkv+MVTXGKDd3jbMe9c3YAio1H9WELPynhtjXWf3GOYhuA333HKVpRK40dbzsyzMc57AOZ0ObtK/SzCrb1iOdTKoa+/cj76WzOZrENQEFzGH93z89uVLHBuFjAlSX6j7dA8Pw82/bFVJWuK0Bly3qG41+8weEqw/RDi/IffoC/uyff45s9quWSxSTjtOgvZuQBqDX5ZIyYOaIRmQMmIzYGj08wF+dEQNqect6uIyqX1l8O/S/fwHYB9ttPIlPOB6KbFLLYddAY3Hj7EXa5oEvk2RxmRHKsqSq+JlkpaSFxS4v42Q3aizGqbx7Qf/djGupeeMkDcIszhF+8RV9mqK9LHK4c+srANRnmowzVpz2KT1uUdct7v5aANWMQTvxiwuFA1U266CFZ1dpRlSTLp7C1325pi3s5Se+/f/9hOBeB9D11vRpE8WXKMt3z/IMGdj5LrH8zGsEFchdsYB0zoxGfmeOR53nXA9/9iEmeYX99nlRrITfJ3j5GWYPlkhlyQva0AYAlZyM6jbwfhi7XiqQ2A9eyijpLFDCcS6ikDg9cM7fpfAZAOXndMF1VQ/kiGydNBDxhSCAx0PXAjn2XyAfDjYj0Ql/sIhLzkAXTTMZwWYb+0236PeNjkgxFZ+AzEiTyPdOrYJC8pjXaUhmupgfGtwbbfzzH83IO01pkO2GsNkB+CIldr0UnHGtOrZDVhTr5eU+CidxgqgiATMN+J4x+CDQcI8xml9AMIgNdutGSDbLcMHY0GoglaUUQABA1UGeq2IhfwWbD4uIsva474Ss4ByvyQTUiMnmRdJxKQIt9Rzvf3Z4H6GgEm+cnxhkCR07pZqj7LzsZM1VQdf3KFZDP1o3HCAKz+92eE708nNoM2EpUEsea6MN+P8hPgPTAqXVxFLMOxMiDs+2AQtAD75Mvg8kz7tyc5euNLNa6AtCMb5vnSTKZwj1yvWnMYCsKgHIj/hm3XMA/PPJg/+wN/fWfVumawjq4szkJeGJjrfwEdG2CKU1ZcpcpO+HYNCnDwT8+IXv9Cmg79D++Z3P1y7eob0aYPl1wsv3t9wh1I2hOYJMgiIUZyfVsW9jLC4TtljLFv/pT4P0dwuoRSmQMdQPrBvTFzmbkLIwqfk/DiTqKmVBqckYV4mYDf3uPajICvljg7A8G7ZmDryKyrUludEbVOT1SjG3MkFQ7zZLGXBqjy9RGk6YhnwPj24jqwxaxzNFPMvjxHPPfbWEf1uiFH4OLBXD3yPtqIwTaPIdbH/nsnM3pq9AF2E+PvG43FyTptR3RGFmrqXw3No2sYCzRyt0e7u1r8lHu7geSb5YBXcv1g0qedbCR5272Q4P8f/lnePHS8Kv1QDINAf03PwIAsvqGhWN/IJxsDX0ZHp5Tzjtknec/3fG2G1Xod/vk3KaHf/bqBuuvxrRE/tkEZ393D9w9cFCZTmgRu1J5WE4OAiB5LYHcFjlD7FzQkMzBTMYw1tJsyRjg/gnljx/RrzcyBA3ZL+ksKUvg5grrX82w+8zCj3g+j+4iFl83KH9/J+sUQtDxeEyIKifpCuF5PUj2ioLwdpHTmG1UAb0QqKVQc8d/lMpKkixuxmjfzFHc7oCPwhcKEcZE7u5lXZacVKuSxGsZWrPP38Kfz4H1HtjKeer9IOkFkqw9ZQwo8hkj4rc/YvZ2hm5ewFdIEcmIJ0c+MNhjZwAE2TbC9tffZ9JpTI2CBuP1I4dcGxZrBJ3kNVKPnWRLr68XSAMO8lxUEu1QqwUBiQEnDYB1wwdtjBCbxAtfJjM4h5QnLD/YzWYD/G8H5rxa3trZDGF/IKwTojj/0bxCs7eVDBj7wdbV1UMEaNAL5oDZt4D/mCcVAZ0CgfK5JyNVOj79B7obF1mgSt/Cdgvf9ZyAIbugQtzWnEPsqHHnRN2ntYBxFnYyGpiV1jKWUYKHYufZ1U4mqaDpRIMYEOqWMLmnHaMblykrwa+5t7JVRcj5WMO/2HNliT1rxiPuz+Qm8M9ruOUZwm7Pbn6xSA+tHY9hJhOE5+cXN4gaaui1UhKfnUzY+Jw4FtqyHBjxAi+bIpds6oKFcrWGnYxgzWRQVhRUkoS13Kyn8Js6JOp+fTo8tKEmPGuKggz6rj/xVjCwizOEd9foRzmyv/nNi8Mk7A9A8LDzKQOhsh5GApN4sfggmaKAGY3Qf/jI6zWqKJFUpqoQZwDAXV5wsjuQQRxWa35OP3uH+P0HmDxLqICmjtmqSpChNm72aYfphyfE+QTxSaB5eZ0oC8T9Af3tHQ+b8yUnu9lsWKVZBz8uYFRNIPdO9vMvEfMM/je/5+tVmeMsQ4xyr949UH54/4js7WeEuMWQyv/+G8B7lLd7mH6MfFtyap9HdDkw/dZgdB+xeydyv0ciAb0Dyiegm/M5ZuiQTEJCKtTwm2IjnvxnI2TrI6rvDym+Oqw3yL78nCjYasMpXtEuIQGa5w388zPc2zcwx4aF9FjzHm5aTpkxAm3Lqa3v4T9+SnwX//SM7PO3nCoPB/gPn+CuLklQa0gGjcIet4uz5AynnORoDYqnGu6fv2PxPymIsesR7u/hFmeULl6eI0xGMJ/u+cxtt/DrDU3C5FlzvUyWJ3rt6HMS3ACYOKyw4myC0UOP6fuA/Kmmgdgv3sIeO2CzhznUiJL0CWvh/+QdunmB6v0W+HCXfC9MWRISnk8RJiVMmcNkDqbtyC85kG/gFotBBfSTL/vuDZ7+9SU2X9hE5q6eIy7+8w7un79Dv90m3blxjuTMA8+SsB/22CovV8iaA042oA3eD+iAPNv6fJvZFHhao3h8JgKoA5sQh70Ykr1YMUjhNkUGYwz673+E258jNK3IbAcptPmJSsDOZhwwikIsiTkE5dsOxSpHfSkrMHG8VKt6Jb8Cg9otil1NLIgI5FukNZvWw3zHvJGQD5C+mc94Xr3/gNiLX4qQTAFwMJL02rSKlmHrxecnjr+hrpGlrkBlbApJn8CgSSolsL9KBzUv+VS+FQ4HZMsFVN6hOk5TFPC5TcxIX9L5KIpG0jU0A3ItkgmQMiVNBKxoU1P8qhKIev5+vmkSpKlwvqoB4v7APboUZYSQtNzRi9lEJHFOIRbekSEZ6oRjnfZN6qgH6O7FnqwOSPRL11I6Sj1clGOgxTQca64KpEtVroFCTXYySRpXWlSOEsROuEyCIgJdqhSijsfjcDAdj9wbSnOU7Jz1H8nBdqMRwnY7mGHIvjzFTmqioIROmEwsktsu7db8ZpfIgm6xoBJgveFhkGcwJjsh/A1kFVOKWkNgOJsgtzbJCoPC+FnGyS6zMP1AaHSzGadFa2DPL9jFi1GOHY8RhCRzmqwY6obFsG7gb+8oIxpx13r68+J2x8a278lQF4tRPK05NchKBTHycB+PEPOcn8V6A/fmBv79R4SvvyeycLNgs68F5/Ic8eNd2l+65RL97T0nphgSmnP4v/63cG1AKc+bO5vDr9bov/4W2c+/TARNU7JxCqs14Fx6vf72Dua/+XPEuof/8T2y2RRhMYG7uYb/+ntOFm/+DKP7OHjZezHzuSf0rzax408Rm5+TBOiOQLtAynjQg66bR9jGoHqIqFYR49sW+dMBZr3jKmhUIb65gtGEs6dnFsUypztiRU252R0pNxuNiDb1PZuEPId//wHugRpye3mOuN3Bf/yUELPT5y7WTYKdQ13Df7qF/fkXLIJPa4RHNsm6zrHzGdzFEnFcAU0L97RLE6ApS0EYakTwDPSrNey//DM8/ekc5/+/T+ilUTMSBx52e9jpBPbLd9zRrzZ/NL0NPhNZ4ljheY3xd3ki0GmuPQA2Pms+J9FS+5398AB7ecbVyGQMczwitJ6k0tkMdruHfVrxrJtNqH5QYx1Bs9y7Nzyr7h/TutN99TPc/x9foT2TtW3L++Ds9we4rz8MpFvnYEshGjft8D3ncyDPYF0DM6rgylJ23AGxjwlgVlKxIo+2KHhWGkOrd5HGnk74il4j+HQuKnpN9FJfT5Pi4f3jU/p5qkhKYUJ63xgjibcZEAJ/vue95O42qF5VqC8dpbA9gCATPLjS7ieA2tpbh+SgqeFnagpk+4hyHdHMDfqxSSFaicMlduRuseBgkYtkRyXgIQ5KMV3Ry38nlN5YhOORdcIYZC9gDT3shKzyAvbRkJoTtnnQG1aY3IlBv9sRyrY8KLV42saj2DC0Q79Czm5Hmf/JMlEUcHohyWxl49DNgOoBKfYzO8jrlD14rBu+xqYhaWY6AaSoUgnALpk3STd0dZbphQgRXjonZaQrCxxFzm45hmHq16JSVSxU+0MKrLDTKfc4fT/s+k++3MWS+tmnFdEGYbcq9JZ2OsaSQa+adWXoi342Nk3alUKIbe7yIh06lI852OUSXlnTAAuzDTK55onRP0BhZlA0yI2mUjeTZS86UCWSahFTy1zK1g7JoEkPCJWWhpaSTPI2cpK4Dse0KjBV9ULzbxdnwPKMcqKnNXrp3r0cJNnNNdTHwOjn3/c83GSnp0QmN59zZyomT7zHc8owUwHpBkvo41FcD6e8jyStUScEXiDP+Gg52MlartOBYqYT2K8/IHaDMYf/+nsiHfI9eA1DMi5BjHB/8hX6ymD+1x/Qg0iNKiEAINzeE0at2ej4p2e48yXMbIr+2+85nboZ7PNeHNG4Q43/8R8QypKN0+U5xt+uUD1UuP/fTLH9ymP8Q0bYvzLIjhH5ziSL22JF5UDZIPnqaxNQrmPyPl/8vkX1cYcwyoGHZ5IYry64j799As4XiE8reiicL4E8Q/vZAvnf/gH+xw3sZILwl79A9uNj8regvTNXbvAemC+5+27a4T4WWDgeDnAX51xN/slX/PO//4ZF9/E5+QDY6QSxyQT1I4fDXV3AhID23QW6sxzVbAzzj79Ph64pS065dYNwvYTdHHD+P67odinPg8kFvXNi1/q0plytpeU2ZHVDi9oxnNiQw1jmRAB8vo0R2Z1H3OyIJmx3PJ9GI64NNLfk9o73rDS+diIqnd3uJc+lPwdeXfGzm06SO2ksc/SLMbKyQFY36G8WuPsXUxxuWPyrx4izrxuU3z/xek4nsE2bVD1KODOjEV9bXbP5Wi6JXq63vC55lla3ZjTiKlSKGcD1bRADOjubUhIocL2tKjL7xQQHEpeupGh9n1Gel1TcBV164VQrf8ZU9H5R74+EHBaFoDT0aIldi3j7gPJ5CcAlBKwf0/paA5qUz0b/G9Y8WCLeppf/tpRqBsdApW7OP9ePBjUSQqSDqyNXLMq556YTXu9TkqOxL4j5uuKlFbzUwBiRJahaink60IVFmfapSq4QwtzpflnRgSQblAdOkQS+uAwmMj40GhZ9siI5aajrn7L/3fHkQAlIgRzZDin+0wSaV4yeAtzjlnskcZ/TYpCsa60oGtqWhUh4AqpjV+KddqP6ZcTTn9dDCIFxKPomL9L3CGKIwUO4TkxWgIUWbTvkVgtMHUWHHFX3r8QONZ44sVtWCV/sZeIOlBaanFC1X62SWgDGIDYtGfcKY89E1hI8YkcOgC3LFJ8MK+iFyhMF+leGrR0LbyGAHaTGZZ6Qz1IzIKiPSuUQPEKL1DiFpqEnflmyY5+MYR2tdE3bcQVlLNzZVEiOx6HhOtA8Jjb0z89ursk1iZ6s/K6Df17zcFmcQaOfw26XdrWaIZ7imQshiQLDZCGfv52M4NcbHqx6n3t6KbjRKDVICtUlt63tNv2T/ewLuHDOxkQcAAG8MNGik+I0cVXcYgG/WiERTLsei/+8ooMZAHu+pLUn6FXg15uEvmAxh9nuiB49PickCSFwnTIXAlXX0ecgcsUVnlYwuxyYvMH4PqD/TYboTsJmSnrYj+4lPMhzHRByToLdmBKo0T2Tz4o1cP03O3TzAjF3cJ+e01rMf7pD/Ktfwa2PMOstdeCLBbkTsym6yQL5zSWsNM/uaQ9lORtneeYsF2TJFzlzHDZbPlsa5x0j0DfIXr9iE9n1MAcmlWavXyGsN2kKtFWF/r/9NblKf/sbToOS9RCf1yiMQX6XI/74EaFpCOeL130clTBNC/PxcSgYEkjmJtSS63NkChA10ClNFET2bM73J6FHdjyGvThHGJewmwP5EGWJ8LwatOoqW7tcINa1NPeCYglrXRHIZG97CgkbmuvYQz3kaggbPz49I3ua4PivvsDqKz7r2SFidB8xvg+YfrMF/vlreCEBm7KAnYzR38n9OcrTGZAKsfdEpYBE8KNUu2CjVjcI3rMZnU5SaI0dVcwHWK0T54o3vkvrydRMKR8oy9g4KlO+aZLNuQ5OzBEo0pluioIIlBRYW1VQY51wOAzosD6/ux3y+wOyQ5Umfc1PiE4QgGpIaVRnx34EybsBTAOYyMYhq2OK07YdPws7kZWqkpw3W/pNSJCf2peTdN0lCXQ8dC9k4JR0yzpBvEuSCkD3wKfhAca5dKFtVfEGFYbkqfZdmeJ2MuF+KefuzK83/CDF597WPWGPDim3GobQvgkAgkkXLjoW+pAhRbqGDICFhFMwOrFYA+OPR/gPn3gDqTFM8JzuxBPeFjmn1qpMCU+0um2JDDjLA1S/JELRrzdw11eJjewfeYAlb+gT7SnviAhzNkV2eYG42yX2uJIu1KpXyTB6UES1GVbugqUeHq6Am8rqQdYF6pVtZjM4ka0odyDGOHw2oqd28zkLlPcIm81gDxkC/LEeHqATmaHJ8rTaMFU52AufSPTsZPySnAPwOgkXJMqeNHFGgh8eSOUByPvmwyS7P2dh5mfINOWrJ6SNnvr12LVkMQPwD0/kIQjk5x+f4BYLuKsLQsH3j2w6plO4y0uga4fcgarkimA2o8pDdoGxadJDF/Z7ZJ+9QTabof/hx/T3Yt2wkdluU4NmRWoYDgcS1eRaucUZddjeD/dTS7a2snz12UKRw9/eUX2gz6A0m2E+plOevPfw+MQp+vGJu/HlciCePq74GdQN7OsbPh9Nk2SH0REaHhr/I9wNp8D+/Qdksynmj1uMP5zh47+dImZA/ijTjQHGdz3qyxzNecTZ7/gMd1+8LwABAABJREFUH68tfe0jd/3ZIWL6wcN0HqN//Aj/6Rb+X/0p3P0a8WkFd30FHyEHU0ekpO3YTN8/It9eoL+cwc5H6Ec58k9rekmczeA/3jLMZDnI6dD1ROjUya0nVwSLM3oLiM1s2O6I/ixzWLnOsethfvYO+88qhAy4+HAF87zmrjlzXOWs1omT4SQlk8ZnBUyc8/vUdeIaOWmSjUgV1ccies9JdktCmqlKvu88J/IlSGr29jPAWdoa7w/wz88DWivnjZ4/QfgcaXgockoY9wfC40BC2U49QBI0fKyJNFkL5Bn8h49EncZj1OcOwQGjx4DqyWP0YQ/7vKVk1tqUphpWa97H4Gqq+Vc/Z9DQ334zkMhPilSy8BYTG5U107zM8DnVIVSkfxpSpgZlipoAeFnsgHTNTxv2tFIBXnCo3HwOv2VYEZNThcuWZ+RGKOm9V3+Sgpa71sIeaoweAg7OIhQmKd1MEIJswxqWiRy2H0tzUGuTEJEfSIivlwb5Iaa/E3KT3h9j6qfkR+VEqVRirbXHlvQY0UFezyQAg8ma8NFgHTItdEnypYXMmD9KGgr7kxhb7Si1GwssLrFp4K6uYKYVjEIrXUcntqajZMhS6+i6CJ8PcAlAiKQfUWJkPSf+5GFtefGMR5IIluuA7P0TvPdw5wtCQ6oNB8SxT4pt273IlB7Y4SYF7+jDEZoG0fOGDaISUBKILWQSTruVwfAm9nQd9OvtAN/rQyZ/NrQdbHVikqOvQx7KKORE3ZcFZeSKfDDt4CH2lRrmdKL3hJEGQrpBNbwweTEoFAB254IYqJaexM8uvZ+4bV/YQse2Jev+9l7UFKNEkow+UHlh7YtCn7z8RXap70E9rVNClcpcphXf78c7xugqUUcedE0X5EHfiVtYn7gZ/vYuuTwalyfkR5mzdjxODH/UNbLJCHj3GuZ3TSLDuotz+Oc1vEw06TOSgxTA4OC43Q5ZBMKtSOsQ55iLoQRMa0kCkgRFAMC5IEEbTh1xf3jp2PX2M7KVYyRz/fZOpoFd2vvDGtirC/Tffg80DdxXP4N5eEaUidHN54hVif5ySt/8poVZzOF//Ch+FhlXBZeXdM/b18i+vcXipsL9X2V01pO13OaLDPmWsj+FOW0DTrcWOF4zBXD6zRb20yPCZsvI4tWeGuQ5pZ7m2MFs92yMZKepKF7+zz/CjCvE6Rjbn08xdgsUPeWBdsY9MKxF/fNLFLd7mNtHmtZ4TY5jQdWiZ6qSsutjzeanrgU6r2AmDuZ5g8V/NuiXY8SJKHkenhjlnDlEFPxszmaU6sm96p+fYds2wedGkCJdQabo25MJMqzWsNMJOQ0hIBNjp1g3Q/ZK5EBjcjpTOi/uk6MRi5hTbxbLNEg1zGlbrlayjO/zeETs5YANnmd/VQ3NfNMgfvkWMbOIv/km3Xcmy9B/9QZZHXHxTy3KTzuY2yeEpxV6KcQAENbHRNDTcLLYNCh/eIbp+jRYmSzj8CS/H9VbpigS0kg75zKh0mlVKSgifyAtwdWtNK2e2+5lfVKrZlGl2WQE1KY1p74uL1r7hOoJnyjWDYzrX7q9dlyFB3GDRduh2HkcbuzAf9F/G9Yx48Q2OwwINtQXIBAlIAcusr5Zfo/8EJKfjbu6JH9CTfekBg2BftQXJiUTWMdeKLxO7gFAVACnkgJb5IAtB08AnV61s9L/lw+QOxwWh8RWlE7SjscyjRNmic4ln2qAhdy18YX/MQAcbwDbiOHNCeKi3ABEOi6ZYJAdQorKHQwlwjAN1y2ldkLGseMxlQsivVM+gztfcnVxYq5gR2VKsBrkJ23SXMe6gZ2OXxImhawSu1YuvB/kRFG9E6iqMNMJgjG8PvJnTDQJjoK1nIpPCJq2UM16ndACN58mB7q0zokesGpHO4QI6eekHTiKYUVg8iLZadIDwQ9IgO70iyLp9k0mH440ToOT34Ag2ekEyAv4+3tCk2czhO0OYcNGTDki4XBgDHNDJjL+8AObF5Eu8rVLuNJslvzDNSHPrzdpx9tLCI4xBsH36T17TTMcjQY4VO/n7Q71V1cwr/4S1W8/0UnvcEgPTzzdtcuvJy/yTuxIRTIK78k/KIqU2BWfnmHOl3DOkQg2GbTIsesRvvmeE7D3MGdzFnj5zN3lBVnwu0M6sJwUSfo9cPXhHx5hNrth9SRyz3CsuVp49xrd+Rju2CGuNpwUj7XET3fov/2ezVlVoh8XcD4ifrzD9L/cY//qFfafMRTIl8D4LuJ4aVPgSTcF8gONUI43EdW9QfUcYL7+kY3DuzeId4+IzyuY+Qz+/gHmlz8jAnI80vZXDJjs4oxcnu0O8ZlowdntA9q/+IL6eUHjAHDP3gbY/RExeKZ8hoqwqJulBstUJRECO+xMQ9syqRJIwwtu75D94kuYuiWSKZ4C/uGJTWpVMgxIirwB98ax71N0rSly2HxEHlSyS7dEhWQIUetbm2Xof/kWsbDI/pM0w84ik7RHLOaIBQmR9JfQ/W1Izx28T8+cnoG8xxjaZSfjpCxJ97CcH7p6iMbAfPMeXot/WRKhySzKpw7ld48IH2/T7+t9a+xwhgZ5vhIR+/aB/JzTIUB5DIJKGEnnjEIuthrE5gczq3CsB5MyRV59IGHwZBjla5JrEGRtNh7L88/sFVuWMIJahroZyIJZhhhNQgv6H9/zz57NWURPXg+VCgO6GZsWtgmwXUSfSUy2INUa8ZzvONwqsQ+gMiY7AIO0nvWtr0iM9wXg82Glyhhwy4FIzr/TrxhEHimKvOTTI/fgT31+iAAELwzHnBdKZDScLJGKTzztgCQwgaYn9oVGkgzzAGyoWXaXF+L81KC9maCbAiaSIGQC0OdAcAawhEIYfmFSLkAoyAcAuURABEIJBE+IcfTDlmxiY+CfnqFxxkH8/wFQJy7vQQl2p45/djyk/am/fzK5kclBbzAl3nG/RCKbhiJxGqQCwD88pg8idv0QziBhPphNgLqF+f4Do3yLAm46IetV7SxV1+5KSWOMiKEfEAd1DQS4MtDERmls7OKMzYt01knV0HXJ1xp1MzxcJ11iunFij+jpAqiSQcJsbpAIzkTGFiP87Z3Aq0u6QbYtjIRsxK5FWG9hzxeczI7HtLdKpEHZ8SaW/mqVPlPjHKepvh8aLABWnfhi5B5dPBbUrU9XPcqnMJIjftr4xLZD/v/+OypcLi9SgqWttHlTMiYbBnc2Z6H8dMtfznIgF6VEVVGXP5vCqFkUSNJLjdj5YphyRHOOSKWEFn8AcK9vKAf9A6WKKpXE9SXC2RjdvIDthUH9tBpS16oKOJvB//YP/P+yhP/H36L47A3ibAy/WhE1CRF+s4OdjJF9/jbxd+xff+LhOaqA5zWu/32JT/+HczTnPLSauWUapyU5MN/E4bDb0Nxk/oejnCc9w2Iul8D7T7S0nU1h1jTFQlWR1yETa9hsk6mWl0CX2LQo/tPvydUQNMhWFWLuUoFRqaR7/YoR0rtd8r8wArlDFB3KvdBJ2WSUhpmqBB5XbA5HFTkiGRtZMx4x7/7+cSgmkwn8/f1gPLM/ML1wMoLpPZuq2Yz3vKwM0oEuPJh8NEJYThOpzUhcLQCYyQ3NhJ4bhP1xkLbu95JkmPH5FUKp1/AtOWfiQRRQKhk7uYfV4dVMJzCPK/QCFbuLc4QvXyMeWhTf3pNHcKz57J08UwjkDZ2GmCGEYYCqqhODMCQiop4h4XDgWuzkdVlB7RS5JBE4DEOX5N3Ti4RokelahP2RqICa1OVyhqsjqsLoJ6FjJqPXAoR8qOFRigaolFTJvEbUACl5UNHvGBIyFjMW9jTpG7AZqKT4n9AvVCnTi9ut7aPw3ki0DRnQTi3sfAr/+MTV4qhiWmXXwq9EPuk9yCg0RCREnWdcLjkHJ+Zxiv7Kmjz5AOiBqvszfQAVYvgpez0x2k8IYFpcYA3Q8OZKsFSI8KWFH3E6cG1EcyY6R0dSYF+ZIS0Mg8Y/lODUv6dssB9zTVCuIsz9E3xdJ2ja5BnsfE4bYtmD+M2GRX8yTJMK08aTm5MQUJM03bFpkwUsypL7U2tZNPdy8550VTEoStANuxn5GeFwAMRr2t1cIa536DVOF4D6Kxh3svPqxJ50NuN6Q2Iz+T6L4YPU5MMghLDFAnh9BbM9JB20kSx7ZbGjrtNEnV7/iUzQTSuRydW8ceTg0kPEjsfpAQ3bHQ/cU1fJwyHt2mykU5WpJEin7RJa9AI9kdhlYwxMWSQCHAzovbA/poMfxgyQ4CX3uPh4lyZIL/u61FioLj54hCakh5pRxjSL0XvfPz5T+iUOiwnZ0qZgVA7OgoJq+McnaGgT1QU80JFzCglPzwj7Pcl6qxX8+48Jmk46cA0z0c/j3/5LxNUR/tvveSs9P8McDrBfvMXmLy+x/rmDr4DRbcTVX4tboBS20Haw37/nayy1ectZmI6EmVVZ4S7O0woGkBWHkmQb+me4EDF6Ynyw8nSyI5twX1GdA3DSqS+A8fsI97/+jmSlV9dob+aoLwu4ry5QrFvkX39C//4j7F/+Cna1S9K2sFpzL+89G4VRBSMql7jbE/6fT5NUznUehzcVQnGB8nmNcDhwehuPOanVDdUQYtKFPBfXuyUbktsHTlWjig3102pQ7/Q9+m++Q7LBLnKy/IVzY0YjkjANM0TcZAzkso8/HoHplKvUuuH31ftQ9txpSjseYUYl8Nkr3u/rHcL2ife5s7ArSibtfEplwoeP8kHFlAhoRPGQlDx5zrwRiai24/EgL4yRe2xnYRZnVF9I8c8+e4P+3SWy2zXCx1sE4YQpUU5dOrVBsXmZztAgtunu6mp4FmSNkYJ66gbRtqlpSLVGlBzKJ0p/NzU0jusUXd0ql+GE8He6MlNFkbs4ZxFcrQXF9UOToBynLEvNYmLRQ+TegoTSkrvia80zIAznY1it2YQbIGXdhAHGV5jfSu8fckG/64Hj5lohDI7kz3uGcZmAAQH1noOWD9J8DYN42O+lqAfmZ+gzLCsXdf8zJytjWIdMmdW6R4ziWpDgBWWln8oCo0QGGwuAN526s8WmgRuN+MMkAhchEJ5rA2zDPWI3JhHJNYy6jEZ2+3JBTvcjSgiMzqSVgO1A+1CVqim0W1APasZjOCFrpZtPiuULyWNdi61mkXbGKEvg/Ay2bpiIJcSa7u0F+pFDduiRf3hGeP/pBaymgT9mPBqsOU93V2JgA70hX+QrDJK/nzpvMd/+mNidakN8ytgngiPwWNPAbhjTSWZtzQcB5aB7lcNHVzXa4OmDl/S8+pXncJMxUZYoQUgd9+8my18gRG5xxt/TCTsTV78QkyoEQGLYxr4jeUX2mkoG02uQ3VzJHrM7mQqiTBwR8cMtzHiQ9pl+kti+qicO2+1w6ObZyfQvqo4Y0+ES+44s6Hc3TGp7fubfK3LEPTXNdkJrZHVgRIxwlxf0vqhruF/9AvH9JxZ964CvPke23iPu9ol0qZN/ekjlPnGLM/R//jPc/m/HeP3/le5dUSbnYPZHzP/d7zH7zRWT2YqcjbBI3fzjE81OphNkNyQchvWGUrWHJ/SPT/yMrB2mydef4/h2hvH/8vULR0UlTMa+x+iuQ3A5du8s5bpdBCIjgI3nlBMcIdDRc+B1mk6o6e8DZr95htkfEc4miMs5sjwH1nsEcWB0eUbUSD4bv91S81wzyMZMJ1zliVQOdQ1zqDH54YhsU8MszxDXmyS1hPewIQhJkP82gvD552c4gNNxljEfvW7gLs8RQ0Bcb9Ja1E0nXCOu1nCTMcLbGzghUkVFDScT/ozpGP4Xr2HrHnh/D2Vex67l2kaTO4NLDQoAmM2O2RaqXhJCtj02hPqrMj17L1At54g2SW6EnYhKa7NDwEmDHaNE7EoTO58hTseIT+vkBOp++TPEzCH77i6hKUwtrQb5rsq9TyBmdQSNPvD9SFOkUtlkW+sK0aeLnC7EZGme+D2qaphO6OsgSEH0ngROXb8J2VBXbfqcp5VB0yAAg7nTyfmUpOzOUTaqSIhzMOMyORdaWRWZqoJajdvJjG6mGhOt50sXKPOrheSXkb+mcL9tAeRIAUAmIIXfOeHFmUBL+5AJkVA8cRRBscslB8O9KEpkl59WGPI+rZghxV7ikUU26nf7QfbeYUAAEilCi9GJVETjUnXvmz7YTjT1ckP4Fb+xnc348O20eHVDvHA2EN98IVaPjv/uJya5J9kuIuTMTg6OF9W20ig4wijFOmL84ZgY8MlNyvvk4oWsIilQLkaC7iUgYtjBtnwv3vPQsQZYbbirPtn35t/eIRPozfuQoKmg0DtA1MBRNpIYl8AgDVutgedn7vPzEfxqnTIUUppe3dCYRJL2dHI93fnY8TgRmXA4DMxauQb9+w/S9VNjTFevk51R8DwQJZlQ38MpRKYPpMnZIbvZbFAMnDiEaTqfF0QjwdwAmxJx74ttk/TyCtGrQYr6bYeHB1E/uIRChd0+BTZRklOkLAVNWktrqLIc+AE31zDWor+9T9OLUWthfXnloKJw8zk9w8Fp21kzmG2cml01Ddz5Ei7PkseClUwBU5V8AD/dD/GbqzVc5hBDoP69LGHzHKrFTSFasxnir7/E059McLi29MLwdIUblBQB4fGJD/puTymlczA/+xzZqEL/3Q9Jy5zCk0JIUDU/VGqZrcSshuMR7uMjJus9wmfXTLcLHri+gJVG1m92KN+v8fwnV3A1ML4N8KVBOyMK0E+4t8zqiHwHTP+w4XT16hLmUCN72gNPcq8/rWCuLiRRMcpuvE2fQ/bFOxbjs3livtuzOZBllPMdj/DPdGL0P35EttrAnM1o1COFI253aZq0ec7chfsH2MCwICpt2JD7T3f83M4XXBFIUFMKpOkH7/q43jBFMEQOCo78FdO2TMrb7mAWU4TCAQ8kjya5oTRTbrkUbk8YslYOR4RmJfbFU9hffMkz6O4B6nfvhEOQ4tlnM2h0rhpw2dmMn7/mKCiHRdn1ALLPP2MM8eMG/f0913VnM2YUeM9Ewa4DfBhkqGUJO6dMEQJ7c2qjTl2zTzSzAsKFUW//5EtvZAUqCgAOOyfn2qhKSGBYHZKFbWK9C5HQr1Yv1VfxxKFWz+XDIYV3qZrmVD2gtSmdcYcDrK6PRbrI+O+C99Tzmo2RpK0mWXLbIlvXsH5M/349mgqcJP4BPh+GWtODMsAuplAgX/HZ5CqBroC2Q6pTQZxWkRekDQjycWq9PlzHUSKMh92eqPzJOl9VTpk6vClJTS0ptZCYLBfzmzatQfWwhUDvABsHO59z95Q5XjTvEboBFu5HNpkiZK3ARjLtZ4ehKYhmMPlxin5UZshXjryg5tilztTOZjxA+oayv1EFI9ntRjWz8uH77XbYNekuWJK3GCW5R9zs4KaTZLITvacTU6VqAvXh1++bp9yAcKxTd667q5+uUJJERdi4CXINGiLUDjst7TTLkl18ciHsSPZR7/mTdEHNxzbWCDJSiP+BXOMgTVMIwq0YWMLpJc7ngDVJyhgOB0rexmNO9F0PvxF71vmcBfSURCnGSPoVZX+me8vkMw6kECdFOcKxTuiR7rbS2uB45GTY8+e7q6tkc2wK0SJ/umUAzHicPBS4jhkOXb/ZDJOBEemUL1+waGMnPBKR2GnzeOogZrKcqy9JIUTdAFUJe3Ge3AXDbi+k0Qkb5LZNu34NVnn+9QzHa4vyKeL6P9Uo/u4PdJbT6yikRbX3TBHRWYb46R7m6oLrn0xcDP/Vn8L9eJ901+nLcPIPzyuBNWmBbQHgaUVHuDxHVOOmLz8D/u4fgbtHIF7Bl8DurcXkYyAylwF+NHh3RAPC1hI0hd4z5e/6nImGcsDDB5jxCP3bC8QvrpgU9x//EfF5Te7B9SVcXsA/PFA9Mp9Rq35+BvOLDPbDIz/n1Qr2eKQ99C/ewX7zI5EkMXkxzg6ZEM7BP69kgopDGpz35AjMpgInN7AVnd/MbMr9sA9JOWInE5hIKDYhPxu6+tlvP5CVL54c/v6BxM3LC65EBY2AZtybIdXTnotR1x+OaTLNvngLHGuuFsoSFlIU6prFW9ZbJicLX42x3OUlsuUCcb9nofziLWKRM27+4yNi8Mh+9gVh+dWaxDYh9SXDq/GYz23X8/to0qruv4GUFHiq+oGxaW0Y+w6xtqlIpVhuHxIZUAeKcDhAj3k9++xsRjLmegN1tXshST5RW5mSkmXo+SJs/dQcAPxeDZHhZAaXZwKlD862KQNnt+PfKXI6uwrSqMidycfo51WC/KPhkBodC72a/wRHRQAE1e6mQL4zyPdsAnxhEPKYamLMgW7KxNH+060MqsuEWmudTm6xHdclYb8fVFfS+CUlmATe6d/PlN0Y1f5X5WDSWQAgEaIquTf+ye+d+jjH/Z4XKc9ZIIs8rRZgDKMNc4G9PdCP6H6kK4FQADDA+CNhFETIVMFuqnyW0CD11zlR0sFZdsh6k2UM9VBXQHdzzRtZPAwSBFsUgyRQ8+uNhclN+qBZYLmTNscjDSpClf48L7R0jHIDhhATuzp2Q+pakugpfCc3tMkLSpuaFmFPRrxKM9OHmWAfMYpR6UyIcCqNU1338Tj8zONxcNWSycbNRwl6018zzr7Yo8E5MffoESTkB9YliU0KFZLXmjwlBK4OdU33vY4JbT/N8R70zGJu5CYvpUQxwJ6dk1AJkA1/OJLdXBbcw59wAdSqs7+94387mhGZxRzh9l4yEs540DmXiFiAEJ9OmbXGQFUhbj5nQ2v5a5o0aM+XNOUJkZA0wN8XKVFaT+V0mOu3W8BOEbdb+NUabnEGM53i9v/yOQ7XBtP3Ea//pw3wd//Mz3U8ph9AljF1TixAE8lyPqUUczQaNOI9baLtzz5H6OmJnqS5ZYH+x/fI3r1JVqp2KtNilFAq72Evlui//R4ZAPv5Z0lCZqpSHMsY7dvODIptlBQ4NgLN0qBYncDUH26Bm0uEb+/gRlXaF5vxCPFigX5eIfvxkchZ5oDrS54dTQPEKbCYwTw/c/2yOyBORgjjHH6So5+/QdF7fh6iinAPa8bmHnidsi/eMV9ByJp+teKzJWsAU5Zwr28QHp/5GTcNSdHWsPAXBeKW8jxFx9x8TjmelcRQY+Fe3dChTq4rAHJ3xNEvhgi3mMPNpvAfPvH3iwKx2RGZWC6pNlBTIknftNMJm57tjlwIzeMQlzoAaUCI3bBqRIzwDw9UN11doP1sgfoix+iuRfHDI+L1OczjCuHuYYDoAcAjNaphf0zPtJuzAHK9RNmeV/mwNFZazBNJTxpVgKsW8rS6ZDyma7T0mo1NMbenHv5Brr+7WPLs3O2HnyVr5hT52zR0ddTzC8MzDhDxg/eJ/5Jk34L0qt37Kb9NG8V4OEqUep/OFwQOKX6UDdb1QgDklIP064D82wLogHxPFZxyAkIGAETUQg74KmLyaeAEueWSPDBVXOkaSEifppoNwzlwotYSkvGJWy/f64grAGWh26pKcBOcS1aOmsamX+kGlyk6nEB5yLJ0cekBPXRe3dRxpy8SCSMEr2CB6inicEOLUb0g/Ygdk+5PAB4y1VNEsY3QlA6TC3lIWKhmJLvluh40rWXJQ1qMHBiT2HISEetExJBYlAky0u5ajF6CdF/suEUqVxRA4YAa/Hly48faJohOVw960+nk6TTAoe9ojVmV4pDF0JlTaCeGwU/gNKxC3bJOGwDNI1C2r82UWCjZBW03uHAlu0s7NGzgwXK6s+fDIBD5/cNwHxT5y+hnO3BGYoicuAU+TfHR0nyl9+Y9FRJHseiczYhqPK0SAQngesQJT0H3+Wrs5M6XSY1AyRF17uh9skKOkjV/+qDY2Yy7xNGI/vySo0BImvdGNh4hvr2BveUBHY5HmF1OWHQ5JzT/48eEoIXDAbYskX3+ltDhZksC4ONTkvEd/ve/wvOvcrRz4PyfPM7+P7+Hf3gkQQ1cQ2Q3V9TNF0UiHqoBkfVeEs72yaZYkxlN5mB/vGMjOpuRFCsmUDAGuFjCXiyZFb/fc3L64i38b/+AuFqTDPbhI+x+ivjrL0novV6ivgKqe6DcRuxfkQvQikvn5GPA868tyifwHLlcwvYe/tsf+Px/do68IZ8FPYO2XE8ZlRmLKVaIwHwKc6iJHPTS3I1GRLz+8XcMT9of4S7PEW4uYK3h5OY9zGyK+q8+h20DivcrxNWWTT8wFEYpQO7mmvyD+0fYy3NO+E/PXKmUpTjy1UyM/PJzQIqlpozay3P4D58QHh7gLi9hZhP4O12z0CBnaAyJgkRpSoME5mSfvYG/f2CxPpuz4fMeZnHGbIs8Q7x/YmNgZMgJgUY0Yt6TfSae/evNS1MuAGY6weYvrtBOLaqVhzu05Izsj0kaqHbcypFxyynP8c0uQe7hcIDxZeL7+GT+NiRfAkiyXETdq5uTNSYNs4JIvLXIqkdJOByS7PqPSed5auLc4iyF3lgxC0uE4xTK1iYkILn8ZVnilcDatB6NomxQonUQ8yQzpowy7nbQKN7YdWIfLjbDhmd8N3dDuB3AcJ9KooDTm2CtI58NHHAzk5oATQQ0gaR4Vxt04wE5SXyExYzR8Ovjydq4TsRu4ww0zj52LdFeHc4EBVfnxEyd6aIPCL1o3PN8sG6MamBjEqSiE72m5Sn0EicjYLtPH8hp52WcY9whkAJ8TD90RCEnVGIi0M6EHJgb8U+OaAuTrBTbOWWCRvXmYhah3sdGJht03XAD7/aIMiWlYi/SHcrF+NCaIiczdrUeYCZjuB/ToiNyv7CmC1xU7351UBS4XaMtjZjO8EPsUlywhhDpz2CyHnfDOp1hOhnCdJyDnUzhN7th9SAGRYnhK19KGtQvJe6opaUpCuru1aJUpmFOJX54QEW/CyDBaEGnHIG/ExwOge26wZPBTScw0+nAgpd8Ai97VjtjFrcpclqnznhz+/UG2EojAgwEuekEeH3N739P21V3c829+GYHp/LBw4HaeHHAS6sA69LuGZCuWuJidVJGCAOM1jM9LGy2iA+P8MYie/uZHLY1i+VswvsD4FTQ9wP56NMdp6nNBtCH8M9/ice/WmDzpUH1BLz9d0dkf/0bJj8qm/t8CTw/o//uR7j5dJi4wMkyyspD3dHsqIK5uiQf4nAAzkaw338g+ez6Ev37D8O1//ED3NUl30M7kNPix7tU+LPJhMTR0QhxV8O8e4PtlzMgAv0U6PYk7kYLTN8HHC8tnv7CINsB5TYgZg7xx4+ETv/qT2C//gD37R2h/Z6Errg/EFnMHMN2rIU51Ahffwf75TvC9d/9iO6//1eoftzA/+NvAesG3k8IiLlDOJFNom6QbV+jvi6xf3MN212h2HiUd0fgP/8mqX3c4oy2x2I/bXtPid/hQMRnNuVrVBWTnAfkQE3Y5Io0F5GokCsLWhmvN4MduDSjdjrhPXesE9JqBPGDp+0zZGViNFrYWcQtG9PszWt4aUBi08CNx+nPxboeJJDCCzDOwkwmOPz6BvtXFq4GXBMYnnWo0X8YCMyUwJGoTUO3Hc8i4bSgpgfBKXnWXZyTmyOuh4A00ptdguRVjmvHdJyMXS8yujbVjLRuSMNEIVkCA+ncSK5Mqj/pkBPWe1EA8ZicXtFKpksMItnrk7zSSwyxypxPOVrpsxBCZTzWQ+M1nw5cnyzjEPUs0rvxGLYlkh0t2f2aAKgW2vmOQy/EwM6JC6DG/7oGMIHFv5vQXCsaECHXJudIFVTmLKKiHELITmdv38MUAzqtn1NshA8SIkI3GJbZZDUq+wPVh5MYUQzQkJIsXhDEsgEGbxras8542EXRVp4WBhO46zdBCH0WQnTihetHvBDWg77IJ4YKxgPNghJAgGQj40Pag6g8w83JDvWPT0BOdYKbTsQtq4Qm4dnxmPvqpklIhi1yOcAF0tLXrzunrk8udxqow6I8GaZeQOQa5Yvir82BZtqHA609/WrNfWLGpss/PsHOpvD/uz/D0//wKxz+zS/g3n3GvWnXwm8Y/GGrivrd0Sh1vURwqNqgQxY/6OzVzTDZxzhMCGUJezZnSIbEDPNimnQdFUFQNERZzQrR/TQuVNcU+uUVVl4ukL39jBNRxs9JpYx+s+EhNBeDH1FOqDVy+n4xklD48ASst8jevGJXL94DiIGujWUpMrAcdnE2xCvLlJMOEUvjIkVjiBKNGFlaVYNNrPAaNNGw/5HyOjubwuQF+m++I/TrQ3oYU3piiInFS6b1z/H8l2c4vDJY/jbg1f/0DPcf/pGIgpLOfIB//zG9d1NVaSJyyyXidgv32euko4Z1wPUFrYr7HtmXn8N98wnmzQ33g9J4ROEhRO/Rf7qF+ewVeRSrNbXn2y3iZASrkaMHMTv55gfE5zVmf/OecqaG0GW54pSz/YIWwOWjQb4Hxh+Oyao5np/B3RGhQUZDJADwv3xLRGi3ZxhWiDD7I9D1cG/fIMzGJA9+8RbVt89sDrMMbnkG94sv+awda5jOI3t1wyZGmqfsv3yD8f/z77D820dYD6y+KvDD/3CGu//7v8bh//ZvkL39jEV6Qm5M9vlniJMRvfblno1Nk4iE7uI8nRsAkRma+XgWGr3vvYcZj1LjxEfJpOIH4Z3Y2YyBVfr9/u1f4vhvvgIuFkT9tlv0379HXG/T6kklkWqdTSTJJSRA14R+s6FfwdUF2q9ucLxkkFO5CRj97h743Xfwn27T82XHYzZU1pA0W5acGoVTYUrKXJXoaxdnLJbKc8oynq+lhqyZhCqoU6fep3YyTn4qbj5PfJ/TGpE8BXR6N3SkVcdQBJ7Nqk7ThsItFmzwnYM9m5PUqAoJ5ShsdsPU7/2LZiKpKkYVmwa11BaSrl/zjOJ9sU2oAY3SHELB5EwWctavmJHhDwzFXlUB3ZzPkDty+u+mBt3EkBzoI9ScJVq8WLMDIEmzqpI8X8n5qYmqyhSzHDW2Pp3PNGLSpi07Jf3BGNEzM46U3ebpTnQgR0BgnRfyOR8QH+4G04XtNjmUhbqG7YXsUDJVLGQG1S4Aceh6AEECPJLkz1ec+PlN2VW5LiJm7iVJpe/gxUYXWcadRxuHm0kvgBCo7GiULlQio+wPhIPl5ko3yGwGW9ecDoWRrtPXqfmKmpcoERAn2vjYtYjODqQVuYF+atAR9gdkqxoTZ1H+8Iz+2+/5+mSfnOKahQQUAcR6C4AhIDq9us9eE37e7obPrshhQW5ATChPTHs3K/4HuhM7LeYABi+FPCc0BjYYumv+6Ze7OAeqkhp3YxDnE5jec5e8OGNBzsimZ+OZpWJop5MEewPS1KkEqO9fvGb/8MgmxXuYn72jre56A5Pn8E2TWPdxf2DW+ZZmM2G742sUUlh4lJ9nrVjNumSgwfuPDGNFvvTAS02ePEv6/dUqFgDcL3+Gx39zhW4MnP9Tj+lff8fgFDmMYyd2vfJ52MmE700iavlNLGF+mfgSErMjekDPigLh/SfYyyXscoH+x/d8LXlOopmssvC8Rvb6FfqPnxBD4LP62z/AXV7AdD2DdnZ7hLZDdnEOZA7zbwKapYXtI3afWZgAVPc8xNozA9MC7vmAuCNDGe8/wX/1DuZsCv+Pv+M6yFi4XQNMJzTr6nrEx2eSI7MM/v0nOD2TAGC9ZaTyZ6/pP3/7wGegaWA9Vwix7eCur3iA7/b0wf+n32G+eQP3V5/h+U9ybH8GxMxh9+YL2O5zXP3tDua//AH++/dwVxfpfvWPT+l9K5udlrADj4brhgnCLSH/5MshBS2ta64uEd5/JEpnLe+1rkf/6Rbuz36F9V+cIzsEjD7uYTYDf8CdzYkA7IUJf+Jbb6qSWRfOwl9MYV6fwz1sYDacxs1kjGgtfE7Yf/yfVojfvYeXgq3EUSUi8mwi2nGKNMW6lkan40pDXAgTF+Ly4qVSQEyXMKoGlJAHDJtn7/kZ13XyZkE+nC8kGA9yXiU+89wqknsrpLlUIjC6bijeuz1/v+sSMpkIxSrTnk5gJZBNkZooKymVFYbtlmeQrEeM2ALb6YQBX6sBbTWzKfqSOQBat3S4tfr/Dsi35LZ1cwZoGQ/AsB7m2whYHYRNaiRCZtJglgK/1js2zfrzT5AU5VnYyRhht+Ov/Vf4XXbKdXmmH9DwKQzEC+pKJ4OOXiUlDYNQ0NNpCVGsbJs2TYlpCl2LxfB4nPYbRhQksEAzN8kgYfwpwpe0GtXOKVgSAJ3hr4UC6c/jeUNYWYhSAAixiW5UYfPoPScyQ0Y8PelbxjuKP4CdThJ0bJwTdzCSKMieFEKhs8MhIZCgvt8X+3+xpFSTi9i2L93plJjBO19ueLovhu0W7pv3KL8zJKwZ+zKgSbracKyTZjWtEMYjkQX26L//8cUaYGCLClHwxAFSC5B/eExFz07GaR2hU6xen1jXA3SsaV1hcPUb7k4e5P71JY5vJ+jGFiYsEXIju66A8qlBtjrS4MIaZM+bZG2q+zb/y7dwTzuE797L+oM6XjOdAM7x4RCyWKgyxEkBp+Qv6wYERzMH1IAky9gkqK4XSrZpUga6vbrme7i7p4xJ1xGXFyzQt3eIXYvs1Q0RCAloij3NiEyWwfz6K2x+fYbNzw2u/6ZH9f/4G3hrRNrVDtr3zWYgJu33gNzfac2iJCpjmQYm8q/+9g52NGJCINhs4sMdorNp120XZyxsdY3s1Q2L0M01YfW7eyIHcgaoI6EZjZL3uLGWn1sf0VcWvuI6r5saFBu6Ak4+eSBzDGWaThB++TnMf/kDuRs//xzhbAz8lz8g/u5butpNxkR1vvgM8fYRBoB7czMobYJwWG6ugKZFXM5Z9I2hDO+eQUh2MuH38rTehnPIphOEzRbV/+vvcb3/Mzz8+YhE48ghw+5qeidcXZGcKoe+u7lmMfh0O6QoAkSEQoS/vye8v95QadQyyEjXd/0tzbfscsmCJMTB2PcIOxbh7NUNurMRZt/s4T4+ITyvyM4XEmzyopfiZWZT2LM5/RyUV7DaIms7xDxDf3OG3b9+DZ8Ds+8b5LcbVN89IywmRFfevYE91Ojff+QQYXRA6lLSXsoHkekweQjI8BdbtbzOEVoiSqFpWIjblu6IkharxOJ0HoThc0mlpjuZbK1jHPap1Lks2YQej3T6y4tErAbYZClvjVJMYcKfkv6ECK1SazgHHI4wRQ5XnQMxwAmJNr13UdtAFFRuNOK9IWoRSn7p5WKKHP7VEs1C6laDF2mA7si0W5UFRgvkG6Yqxox1sFhzfRAMV+EAUpRwf0qFcDx74n4PM5ukdeOp4izlkZz4ugBIhkfD6pbrnCx9wNLhKYmEMHmZiBq6S9fAnFOG50Ae9MlVy5wkMGnhyA4eIc+R15L+18fUAZlALXH5HFFfGsTupIvqht1KvmEXtb+xmC1mwP297GkMrVLnM9giZyGLhOg0GlgjNnnGxYFJKWQ3O5tRYrPfDxJIeRDccskbIAQS08T/Ot3AKn85+UoEjRfMzCwhKKo8eEGyO+UmnESG6s9OTll5lsh/+rAo+dJKR/iCrCjvy1aVrC6EoCifKdzwQCaDie02HVx2IqoBdSzMC3qdN3RF5IFVJ1WF/lwzoTmHbXu4o0c3tminFu0Z2eTbzy18kaF6HKNcRQZAHZdpTRRyg/rM4vDKoHqa4ubfjxD+/jewXYfkgGglQKmia5y7XfF95PlgT6r3Ye1hZAcM/Rwk7VAnH4jDmFVnPVUrCAkruRwu5iSjSdpi2B9o1Xs4pubRXV7A//yN7Ip5D9suJi5GlBAZZUNrxCfAAKD+x/dcC53YrNrxmGso1ZXfXBOu7zrEqoD/3TdDYlnTkjhkGUOcYMSmJcr3+ITs+pKNknij+8dnuJsr8UMvgMUc/vffwF1eYPTosXmX4XjNdZ6rGXICGPSTSHtgx8YGRQ672gOTCVyWAesd3P4ILBeIGhvedVy5zcdcvzw+w85nTOCzDuhEBTMZIbz/yLz5xRw4HOHv7+EWZ8i+/BzxacUG4WzKRvKWzZoSuczjEZd/H1FflYABJt/tEL4Wh8X7e7j5PPlExPUGXpLj7HwmHuxy2B7pXWFE4WRmEzi5zihyREGQ3LvPEIucz+rhMJjtSMPX3z3A7Q9cTQEkpV0s+T5yTS0cgo20qNkJ7ZnDJ7pemq044P3BYPHdDcLNeXJW7P7sCzz8ixGimyHbRxT7iMV/zOF//00K4tGBzjgH9+4NjZSUgyTNj2rk1YwnKsHXO640BYZPbpt6PpwkriJGyoUvzod4W8geejZLTP/TrxgjG56rC9jPXsGsaPtOiSZ9CZT3pc+Npv3pmvKnZEJKviOb4dmYSaNNC6jrqHjG6J/1J1761tmB39RwhRAPB9jOp/Q/rrQjTEbUOhqTzOyAYUUQCv4eAISCzTOD8KSGCC/Al4YNMpCG6eRDMKrgNZtGrldyhwXSEJ4Kv2X90wj02LZMA9QO/7Q7s6MRi/pJYVMzhnjKNsQwTaHrSZ7xDFMwp99vPMZhmRPCHxlMPgX43KCbGdhOuiT5vfI5wnacLILjlAHDbink/G9XA3FSDTeaEuq6bgjGsA4aoKGFUrOTVdaCwxHRCg9C+ABWdPspWSpjmtwLUyMlVQCJ4a/s4mRgo5nUo9FwcAOJdQ2AuQv6JXG5sNxLG2Mo+Qt0pyOMFYcd1omG/YUmVs1PBK7SnOxEanTMMEhT/YmREcAihKsLxA+34hUQX8ig5P5kAp6qLDRG2qpvuoFR3fbjCqbtUDqD8kGMQ3KHflpg/6ZAMzeAAQ43FodXEfk+I0HUnQRoRHJAbv+7M1ybXyP+w++IRJWlhOiQ2BieV6lpOi38VnIJSOSZckcbqOsOqzUnXTUPkSle4dGw3g4IzGKO+Mu3sH//O/g/fJvWSDRB+f+z9V9NkiVpliB2VPUy42bOPXgkrarmPT3Ts1hgBRCMQPYBggfgT+IB+wSyIngYwezuYAbbMz1NqoslicwM4tyNm12mqng4n+o1z14XSamKCHdzs3uvqn7f+Q4pKCMrK9qQnj+Hnwxh1iXwuMTo1yuMixz+1SXUmxfQ797D7UsksynMbEI1Q3BCGwwYMiIbmuoVXYx1IJYVBfSzC3rTB9OSivco6N/dZsu5+dEMTmbcYc3GbkYpzmydk83BwU1HSNLX7MRBMxu/3cFUDtUMMA0w+d6inGnolqZdulHYXBoMft8Az87QTnvQ/+m3hHHznIdYfwI3G0H9eEWFRt1wg/vpis/XF6+iO6C6PIPalVzPN/fRHS6sY/7vBiZJoI6mLCTu5uyOhkMWF3VDNK9pkd6skGwKqKqB/d23cdRp53MSAY+m9I7IcyIkt/eAWxBl8p4Et6bmdZ9OyBFYr8mf2GyhKwZymdNTXuTbhyey0hC/rNIExsi8s2kJ2dcNpYhGQxlRtggrX49HQK+Af+T79PNFJNfRd6LsxlD3j3BFDnV5hs3LHPWEken5yqF/VcF+9wPX+HgYZ92Bhd+++xHmaAZ9fAS/3Ub/D98yZ0CFBEZLwzAvxmmxEZRRsK9rONt2SiXVqYKscEBCgWrvHyKRUKXJE5MuX9cwF+ewJ2Na4z48djC2OLbquoYrbSRZu/0e5qxDdMKXynPuh+Lj0H68IuIge384o4JSIB6i0UGW5NPgR6JC0zzo0+nSgWNqBdieQpAAwtMfw6Xcz7Rw3mymZH+ji2Yg/+nGwzvFEVYmPLgg9zyc9QdekfcREVFZSu8LaTjNaNQF0wGRM6DlOgFAErscqQhiJK6SUBZhl/u2ZdqZHCZPvOuLnJCsRNDah0d2AJICh4NfGJKRmh5JEqrlBQgXL91SX6yNp6uSzEnaPmCCi5LlgaCqBi7MXQMiIQ5nqih4QElnpRJaiaJtuRlJSI4aDGD6PVZXznVQcchObummFBmwIS9BJC3RfS/8fm3i4WJms0hqCQdw2NyVMU8fNNkkAHT52IMCWkiWLjBlQ/UdFtYhqU8YqSpNKOPZdWYioViIBijhVwq7F5afKXnzEtuvT9H7tOnIS87GQCCSasQdq225+chXmJeFRY7HRecsCcCIVIs20RpJXWOaZdDHMzSXM9RHGdJ1gmZIVyzb86hyQLcK2YrPSNtXePjzMU7sZ1DvPnLWJ3G3UVLUtHDVjv8/EP/Cte/1OJIpKyYUSgEBoMutCLyOYIjVNp1ZlnMwjxsamQCdp0FlSWC0lijObAo3HUE/LKRrERUGAP/7dyyg6pobymot8id2WKEIRFNHngmkE4lucJL25sU0Ctpw416uIsLktlSC+Mc5CVEhzjo4Im420M5F1nr1Ry9h9i30p2vgx4/wRgN5Dn+zhhWv9M2zFKZmYVbONJKdx/5EIVsD1YRFu6pqYFciqWrgzUuaAFkLXJ7BpQnUvgZOZpy9H83gxeNdHw2BuwV807Brb2SE0i/gdyVT0MYDYLtH8vyZyKLI+kZZCTFLs2jZ7oCzY/7etfBLWgv7d7+Bmc2QvHjOTj94OoxHsPcPLCifXQA7ElG9T6DqBnazZVhX20D1erzXopoJ6985L2MAC9/LodQE9of3tBIWrxGV0F45dL3JxTk5MoGA+LNDy9eUKquEyYTKOuYC9ArGswdy6MkxVJ6j3WyAvYNyDv3rBkmZwGYK0/90zVyDUOxJIuGhF0iXseEEEe6URUpCzgB0njAHBGwvoxoiAy5ylZS1sUDWksxnHx55OIePGg7/5Upm/mmEst1qDS3X4LCYh3OUttbNk0Mc3sMJc//QPC26oAbWv0gXmbfQrWXaCesopQv7QTgnXVmJyyv3FWU0miGL0qRkvo1PgGSLJzH30BxhpytBFwzXilfB/EdB12x8rQa84Wi8HgFu2l17eI/gpAhRgQVreL+VhjUjF+ww1yB8DgAs8qXpS9x+331gccV7ctCEmy6/CGWFkLtOr38RPkpgTjiQKBHsHiKd55EM4TUPcO+7CxNCEMpjMiE5FuD324Kbv24AayCRiYAb5BFOCqoDhiXYztRkMmbyWoiuBbi5tpas48SQeXxOZ7RAGAkMel1wPoat7R6+hvPJ0EV5K3KSg3APiM9+Z4fJQzlyLPbcrFTGFLIwNwu5BJypuejFEL6MdLIuZJknXQiGCj76u31MVzt02wvKgWDGEx9+rXkfL8+w/KMjZIsW6uNtTEmD1nyPec4FLYtXj0aioefBqbIsJjDyObBx9hYjalNRDwS4r2ngHxdIFkvozRb9yRj++Rn2z0fYXiRoRgrNAKjH3Sioea1gixkuWgf7u+8IX06nvE5iBhTzHkJxEwogbaDEZRHoNm49GUVXtghlHi6esCE9LrpNJBgtCeM/zlIrYYjvSpIjA8ojkKjK81gY6/GIPvQS7hHMacJrhS+7XrOodtwAAsSOmjkK6uwU7ccrwDskr17QEjg8q3UDV5LghZSuhd6ZzllSk7+SPe6x+NUYs4cXlPAN+nyOxBcDAE7/3Sfc/TfPsLtQMcMj3QBOGM/9G/EQ2e6AzQY4PxVbYgv36YZ2u5JvrrKM9sjvfqKx1RFoIlbV0KfHvI/DPpG+YR/+9hGqaeDOZlCf7vishdyNyYgNV9vSeS/LoDc7yvjSBJgvgdEwXmNd18wLEVKel+LR7XZwd53xlEpTtFdi3DMeQVVVjJ7Wp8csNoWf4VtBCHc72D95g3qSYOQcIKFiYW3og6I/XF8E45xAfJOCwcu9V5LPoKcTNjLOQ0+7BstvttEwy7ctcPuAfLFCLuQ8t9kiEbMi+/AYO2IeJszocGUJndJ7Qw/6UIM+jbyMoaXuaMSRSNNEgnBwxlSwdILNMxIXqyp60LvdNXxlo3dA5zzrOmJlXcOcnADexc8RTIa87InacH+N6GjwWDEG3osjZ4judrLm0hQ67RRWgWR7mA6oe7IWxDEwqBWiYVFRxAY2qMBUlkqj0MLmBtWUPJikBLYvPMpjotT5XEXJnyk54nQJie3NmOdg8QC4hAR5n/C/oIzjmzzY/wPvqixjMX8YVqZ7jMJ2MubQwcn18Mt7IkBNiySEpniHjvygdGQ+BxkLwEMrsguD6xTArvt49mSjDNVgPJyyrJP+iRkQlBzquRQEKlwoedkcHQ9AIOEgG9QNAOvJ6BSugZOOxmvdSUwc9eLB+c3N2Q0pY5hfnaWUPoaHwnWHlhYrYZ2mHfNf4J9o0Xug/w+Rt3ERO/fEoreTeZHtjsYCzgBFxyeAs/BVkGEmNPCRbHQns0SVHoZp6Ejg820rxJSMTmtVzQWSpOxii5xKjQOilBffazWdwE56GPy0g/r7P3TzcElC8yBaoPM8Ro4+0e9K/GY0E5kMuwdPsVAM8/QnsGiPZieB5GYfHmGSBL13H9FrGuiLM7QXU5QnBTbPDcojBZt77M8VPv2bE0w+m2L4m1uOciy7AtXvE+YKrGkZ0YQ5JSYjuKvbWBC59YZ2uUF6qBS8HP5mPBaGMYlCEV4bj3mwSOKkHtNeND7/YcYpSgVzegK32Xaz4JNj2McF2usbJqgdHxGRSCXESJLHYvricAg1GMA9PPK93D/Ctw3M0YzPxG7HritJWNzmeVQiEJGyUJPjmLoXLJSTPIMLCorvP2D2MefGfnZCgxwh35nxiPLHskIz4KYGDbiM6p380cMWLArs8Qg6T+G+eQedJCj/9A2U88i/Y2S1X6542Pz5r3jwhgMs+La/fAb3/lN0btROUILpCH61gfuH3xGGPz1B++MHJM8vGbsrqgldi0V4lkYiF9oWXu5xdK9rauD0mPbHVdUdulLAK2FaJ8+fwa3WsDd3hOizlK6FwZXt1XPoq9vOaU1p5D8+QD2foT2bwPzhJ4ZAyYGrhONjRKsfDqpYPMv+daiA4WY/5Gca9hmqFJC2wD0Kqh1t+Pl3e0E1Gx5YZUmWu/gSqD6N0WgJTROsmKlRFDS4Esg87u1ZClhHrbxjBgAa+nnAixmRvMbh/D0YHNnFEr6yT31LFDtCX5LUDCCiYL6sAOsEhSXDHdYC4kboDtaYCpwLdMhcPL8EHUWW0tMhzMSDtDI0r+H+ZxmzKOR7VZLGs+LQMVQVOcojA5cAi6+B9qTG8GiHca/EctdD8/eTiGJDzjiXdOdcsL1vBrQETrfkx9mUoXmmAtpZL5reun3JEeaYY5sQRBbQ2ajeAogghvyEIGmUPTaMqRNlDLzuNPCMFSQJjPBbv5vXPMyjHCbM/cP8CErBrdZRgsY50QFLPkvhFT8QlJj5tCHiF0jXXmYgeOKoRIMeXqR07eFkdmILheaoQP6e8yg9GMSOPHTeHuCilFkxgMjM9oF12rSMs1UqkspC1+1KehvQynUYWbOhW+dcrwe3BaAFLq5svD7RM1wq3kCm4aFUdEmJgQUuJkNB0x5nPwf2uYeHVpcJUMdF7euGG8dBtLOZTuDrJHaUUasummLvPB3oJBnrUP4YxhwhrEUZE923wheRi72MH7JYGR96DwTf+kM1SchOQMg+TzOmmtVNF/5z9wCz2aL/d1v00xTtn3+B7bMc9RjYnSvc/VmCZniB6X++hf94TXTkZ7G6YSQTTJvM4wJ6Mkb76Ro6SD5DvGYqyYXyfuOBLczrEGxiF0uyxUWuCGfjXNrMZrTdFecy+igIGtXwcHKLJe+Pp2tgMhlHSaPqU84U3C2jakXrKCuM8trVhr9P3l/0KOj3KX88PiIRri+6dDG4MdOJQKCUBCbPn3ED3m5ZaIz7UPsS7fc/RKmgSjM0n13IGI9k3XRF/k7bYxhQeSLJngsS2HB+gu2zFNPfbxni89kzmO84OlJ1S36IUvBfvAL+/rfAV2/w/t9Mka1PcfRPe6i/+S3U9S306TH8dgf7uJDPQSa2LnK0H6+owFit2T1ay4Lr9p6BJ8NhvBd6wNRSVzfQ4PtUkizn593Gbvr96CkRUFHC8FMW17t93HyjmuR4BiXRuu27H6Hf/cgiDuD8ebmivfCwT88B5+HmC67zYCsMNgh+s+32gmAaNGKxoGqSPVWe0+Zbunwj61QfHwmxmcoWrTXgmC4Y/euzjDLDfRMNi2AtzPER/L6MoWUx+yNY3+5LHj6e7nLKyMGrVJROhv3vyR4hI4fQVNmfyVgBQOWUq0UFjYyZD4m3ulfQErxpOp5EaMgCFy14Y4RrGUbbxlAyKr/TzCbdTF3Iluzs285CXe4d0gy+LPn8uS4ICGfHqMYK1V9t8H/++h/wt48v8e03l9hWY/hxAzNy0LWGqVgsa+s7z4A9YCoeyqbkyLuaaioD5KxrRsD2MscIkPGM71B24WOEaPs4bnWW9yRJokFUjAA+2LO9tUg4OyVZiglzwtA8yIp3ux38YtFp5QO8mmWEfMryiQ48erz/TF7Y9NUTX+RA9AqHvstBk5GGP1ePeNjrmrCItoDec86CFLCZjuS/qPUUSN3VtEDUgz4Ng8L7DVwH/TQhL8pEAgJiDD+DFsdD557MtoJxUvCo9lVNPexh7jLwxB9fjYYM51hveFAd2G/GKs1kEcpUSRJZrnQgoxuVFzaot7WY0xDm92XVWQwfH3FDF9/58KXyvJP31U0HhTvLbqnfg3YuSuDcvowIC4BIZLRiK6sn45iIF12/sgNvAyCORkLIUZAI6TwnKbPfjyx3XzedU5+SDSK4KJYV9L//B4xEVlX/iy/w+HWOcqaw+rNTjHoZzDx08wfPhBy6oShQoyGaZzOoDx/hShIv9YDQuNvvgf2es+my4ucIqMZ4zPCjRc2OpqoIOQoiYqYTLrr1hmMGmeGGnHvfNvJzIaMihQ/uiLKB2YdH6J0gUsFhLc/J/H54pHzp+IiLH2BHOhnB3d5TD5zn8Z6Z4yP4yxPgww2h9dGAmvrtjp2yJJkxTGkBfXEW54Z6vkF7c0uZYNGN2sy6RPHYQ3lMrXI142aWCLO5HXhUJwXMvA/89Z+gHGeM7Zbkw+TTIzAawigFtdzwsGlbqPEQ5vgI5VmfI8G+wvyXPZxdP4P99h1w46A+fw0jgTy8dnvyfUYOyDPC01VNuZRwZ/RgADcdwTRnDF+ythuxlSVMlsE9P8Xy6zGG7ydQ/3HVFXNKEVEKlr03t3APj/A3kqdxfgorGRO6KIDLU2B5MGqUcZLb73l/t3s+y3KfVZrBXNDFMnSw0XZd9k4zmwEXJ3z+fxJU5OQEql+IukkUWt4jSHbdas11PBpCzaawD3O+x9EoknjtPZ+ljsMiRX/bdg2IMYBru3hosX3XQkBWvR7w+hlcnsD8eBP3iFh7H/iIROKzUtSma9V9XxiLLtfMWZEkO2gFtC5q9L3sRyrLfqac8jJ+pK01lMhrJZ8lPAcwhqx9cR91yxWCxFoFQmUg1wnBT/V7tKauG/j1Or5vV1VILs6x+sURll95/IsXH/Hb1QW+/ekM+Q3NlyqXwo4smlrBG0V/m3VoemkBbCom4XpFDoEVhNxmbHrzB0RXwaBSCGPcsIcopJEoTE+MmufAoQ1+UEQENZo0xDq4LoVvCA9z6AyCN3NwffONwKhKxbmIGgwIi8vrwHshlx1Y0a42gO5IEbqhE1IYCRC34f82fYXySByjSkL+yQYileCcxRugPDZwJxMEnSmrvSaGb8C7OJ/21jGo6CAyV2WZuASaWIXqPIfOUunamthZh4hIrh7bff/FGezLs05+IZ1tuMhaEBQ9HBDmvLmFXa/j6/F6yUMeZs+BfPKzAsqLTEsZPrQk09FQR/d6nRwxHAxKxXFBdyM82e1aihvfOfu5zZabkTH0W5f3Fsc4CVGEkKIFy1S8oEH1bct5pXQMAf1QWty8QrhSUUBPRl3MpcjhtMCEEV6TkQO07iKIwwa2XiP/7Udc/t9/xMX/9XeY/Psfodd7MnIvTqFPjsSpkqMs3SuQPH9GotTpGPU4JQFLNqdQkCljZHzTzQn1YAB7fx/HL2Y6ESc0Wo7q8SiuBbRtVGvo4YCbtWHsqT7gqIQCMnn+jBI+6f7gJFQpxr/WT6BUt9lyBiwpi65uaDc8HkVCW3J5TqLacgW1IR+kvboGru8i9IciBz57QdLu3R2Z5rs9cDIj4vQ45+ETshSC6dLDirGlIG/HpQw1SfYeyR7I5grLtynWf3wKl2jk/+H3HAsMM26yQcVSiedEGFvc3kP1eijePeLif1yif+PQDBXWf3rGAqUsYX/7LUd+b1+i/XTFMUuSAPuSc+cRjYRUnqP9+Cl6kqgrxv2aE5r9KNWZq/i6hh1k2J1p3PyrAdRf/rJbL6HTkkM1POMAOk14j0okfXEG3Nw/McMy02ksfFSew7y4FG+UFZLLC5jzU/j1mtc+z+OoBt7DHB8huTgnsnP7AP/jR6iC6gScHVHx4F2XeCeE57A/MFMkfbKHRJ8DSfmMB2dQM0nxGD5D6JpVkkDLKIyFqY774P75EA9/MgSOJt0eI3C7FqmkHgxYHMs1VaNR5wAo3Xv0MckzFjJNHWfbbr0G0lSsrF0cxeksZWOVC0FPEE09HEohLizD4GsgqIoS98/YdAGibuMYSM+mHHE0Dcd613ckYg4HXNMhpyFLI1ft19eX+PWPz2DuM9ieRzPgdc+mFRHuLQ/0dqDIe6sYm20LiNItyIQ9TMPCQLeU2FYTFd0MfdvS3G2xZENVVlE54TdE2Q6t2KNi5WeITBiRJyEgJcxE4Njt6aLoSE764ADRptN2xr+jpjzOWfOgLDgwdZhO0PSV6Pn5AW2BaOoTDnebMxUwzBi9ZmfhEwB7hf2JiqoBrxSaWQ+ZdGZ8YDVU1umqD6vJqKMMi9syHjZCbw0rJyMpXr5tSaAK3axOopVliBJ2D3P4H36CBzpZTtMAWRKvTYSzgXiAqcQAOonzpzCCAPBkE9GDfoyo9C2lN2Y4iLyE0DXCWRrYiH44zqnC75WHAWAx5KtNTDn0UtkH60u3L2HOTmCKgmMdkTPGbkaCJgJxJv67wITBCtq3bZREObFXDTrUJ3G6shm3V2JRKoWT3+8j0kC+wIGJExBhXWgDtTFRhhhdv8I9EYme3zJH3Xx6RPLe0l41kGiCx0XBSFBlXSRPAoKoyCjGbVzXOTQZi40so6WudPLm/IwqCa1Y2DzOuWBXa8JzO7DjCzbG17fClZAEwxeX8Fe3MdbZPS5gLpiBYD/dxPdmZiQFtdc3vNZHE7gfPwCayWr2ux9ok+oc5/69gs5lP77v4qoBugfe3BEKBphMORuzgNjvYV4+R/vuR1RfXWD5BRM7TQWUpx6mVkhKj+0LypZM5VFNNEa/oZVu/6qE1wrt8yOoysLcLYDPX8JcP5B5/9Vn8O+v4K5vYF48g7lfYvg+Q7Lnc7H912+R3z+D/tvfoX3/Aeb4qCNENg38q2dQH65gv/k+znVD86FGMqterlh8ZbTWRdOStDbooVXA+KcW9VBj/XaAyeozuHfvO1Jn5PgodtGyn9mr665Ivr0XzpFj4RtS5eSggVJwgx47TzFviQE6Jwk7N2s5VtK6k8u9fAb0cuj1NvoD4OM1WslDUHnOWfVyJdDvgPvdchUzOKAVD2Bj2PUKqhlGgOb0OHIgooJHLHXdas0RyJax48FQDTJW6//ND+gfTaIfhl2Rye8FgTWTMQ/t5YoIckKr44BU6uEQ+mjKAm63J3rR60EbQyQrS6Uw1xKl7LtnVsi+SiedXwKIFKo8i+ObOPII0mmtyadQGsZZKgzqho2foHpEQH3kH0A8U5Bm8Lsdi/9eAXjAnTSoqxT6Jo+SdV0p2IHDyWSD66IPr4iYtQXPLYYEUeoHsAkOplouAYrS02NjTJRNTyedd4KowNTRDGo6AeJoXj+Z9Yf7GMYDKkTEC1HdOw+tdND4ZxHqhGKQTehqvJA8zJg304WZrTG0YBX5Rpzr1GIdKR0gd+sWyV42lwZd4l9fxTQxlzAe2FQkBWZLj969R7KjDLCe8OJ6DejGw2bA7iKDCgREiaClZDGVw2xPaFsp6c5ThNhJABHlUEUeNxa3L2ElberwANAStBHzoKtKHra8eyAPzCyiiYwgFJGkpQ19yI2Jntmubjry4MEXfQQKYe0Oyd5sW8JoxjyB9fx+T+hvMIhxx6HSB9i1xKCQLIPbbmGXqyfhQABYaLQt8wVmU5lp8xA20yntXAUxCq6QAZYLRhvhy5dltNmN5BQh1WjpCMMBHJ8/uXZhLGVOTwClaREcECbpTOJzC6DTWjdd8SOyo/bjJ3IjjIGbL9gRp0l0gGTWdk4JZprEpLEIncn94fVpu2yHizMmtoXuYzJmobUvGTyyXDFhLgRWrVaSSGiiHMycnnZjhFcv4L9+y1CczQbqaBqRDN/Ln6AHQbbl6xrJm1eUV4nO23/9ltG30yk/lxDM3CvOyoNkUp+fcqZdVmR9pynUy2dy3yytm9MU3nDNZH/3Dv0rup5lKxKWspVId2tCl81AyL7LNdQff8U1///9R7hEo7zsw51M6NY47MNcXgAPC+iTIxZN0r0kf/ctRr++Q7J3qEca5XkO+y9/2SXH7UvZCGuoq1v6AZyf8cDYbsklEbc2fnAWSRCJbNhM3WQAs22QLxqMfyiRLy0Wf3kK9UdfdJyO8ZhFvDFQl2d8ZsJsVZ6HYJRDuadG+9UL4PwkPkP2+gZ60flm+JraejMe85BREoglKgYfmO59rjvkGdzjHO3VNb0djo+iR4RdLFn0amHIi0bezRdx/7aLJYKrol113bNvaiIoZUXESNBdX3V/DnkHdkWCn5Xxk55NeTB//xPc/QNRDAnBioTgkLQKxBRSpCl0ntOIartD+/5TzBaAMTSQmk5gJmM68QljPbg8BhKzD8hvfZD8Z9ko2fsH8gXGY55nsp94axkSJwiafZzznnjXZb8Y0+0JRjOLQ4KP3GoV0XCMh1h8pfHi8hG2MsiWCulKIVkrmvtkDrsqgxu2qI5ol+0TNrRwoGFW5aFbnn1twXMtW3po62FqT3KkQfS/ABDJqX6/J3ek3+PZJwhmQEXiXiXW7k/GsgCbOMhsNn657sDS0omFQ9+3LQlg8j26Lws4S1m9jofRQEcJoTDCScNB7OYJgRAOUY6EB44CqIesJ4T4XQrMfwEs/7jB/nmL6sRh89Jh/aXF+g2wP1NoC4Xmchq7WwCxEw2Hpm9a3nw5mPSgH+e9cW663UlQihjaeC5KPR7GjSk4ZkF14w2VpU8dAQF2/UHmJwl04X11s7TO0IJweb9DUgTuCfKgeA0VrYGdVG9QuivGxJ3R3j0gsNTVkKOZaEC0L6MPfPARCPnXvmmBLI0hQH63j6MJZGlXQW62XSTqcMDD/2ekQHjpgkKYj6aZCJyNnZFvJIZWAqd823TEnRAyMh4Tzv10zZ9NUvG5HrADD3DsQaHzhPk/6D0pyMKiiJC6SDPNyQkDXAx5K7pX8CCR2acZjbj5/YzXYE5P4SZDqM0ewToUYNcXcsoDQuJkZBAIgnCWMa5akZQn8DR9BlacyQ+HsFc3LGKdJ1tdNjXd73PBD0lqs1c3nWVvlsEs2C3Z5Yob2r/+Y0KxV48xjc6t15TJCSkRZ8csrlYbuLcv4MY94PoO7dU1msspxxGfPcP2pUO2Ilqna35mWygUDx69O492wCIARQ692iH9NIf5+jOkdxsUNzuoqoGyHvWLGfyQz443mpK/YZ/wfZLAvfsJ/X+6QjVRWL5NcP/nfaz/D7+iHj4RVKeuaQLjLBDm0jhoQvKcpEpZo/Zxzus9m/HwSA2aowLVLEV5kqGayl4oRTN5OSYG4GC+imoOdVisK0Xk7OQY+miKZFmindCZ0pUlD6zVuoO78yw2JzAaVrg6cb6tJIvk3Ue4d+/h7h8joqaShGimUmx0ZPwaGO2RDB26dXleY8ibyD59U3dBZrJfhsM0jHOJwm2i8VSMma1rMv7XG67voMA5YN2rYAAVCL9CPHNrdvkhOCk5C2MycT9cim+EERl1nnO+LchJiAsODYAZjQjPj4Yck7x4HgOfojlblsWiydUNC6n5/EmWjZ3PKf9u2KCY6QRqOIzE0ph541jA18+n2H9WoZ/WQKXhUp5ZpgbStYIZNTga7KASFsqm6pj/zTjM+VW0DXYZuQAu4xjcK76Oyzyay2l81Nx6w/0mzeA+EYUyJ8dEMKRB0IFvEVxuiyLe++BropSCVjLLPzQ+0UXB6kw2rzDTd8EDIMjZhHiCuhFXKWqStViPHh7K7mgEn6go8WsGJA9lSw9neCFofQhyATyd35qLBoOTHfSwgR04DD5b4tVXN3jzLz/gy//2O9z/b2vc/1kfetZdII4oaP7g1usODi5E6tGwCo2GOuC8GQIv68Egho34kqlgYSNQWcrc+TSJIQxPUg/FLlIXOUJWvZlI8l0sEET3u993JMFExgtNE42DYiEhn4kzaFEkuC4G1kwnXQaDpGVx1rhGSMSCUjBHsyeVZDxEleqKQJlf+1IyDZaraHDj5nMe7qMRNxtLfoDf72U0IB2y89FC1Ne1ECWPRI3QPCUlynUM/IlwjwIvwLctN4g8F/4JTS/0WMwxDjqMcB3D3BbOk+F9wIHwbcvrpxT5GNe3wEyMo+Q62cWyMyLZbp/o8QHKwvb/p3+Bu//jF1BVzRQ+IBaHZjQiYVGKHXgP/foF7J9/+aQrDfpxhs2UgrB5St22W5KQAp+gVxAivbmjOU/TInl2AZ/LzDNISyHoyb28trNEOvbsyuzNHYuXKddLkKTp6QTu+5/gd3vUX13CFeL/kGUwsxnSv/8O6uu3uP1XYyQbTQ5P6dGMHJo+w0ySHbB5SSgz2Xs0lzOaEGkNNV9BlRXMfAs1X8F8ekA7MGhOhiRZ7SvgcQm1IelOTUZMLXz/ARf/n3v0bxxcCkpBPz/jsxUkn29e8jIulhEBi7PwCTvsKKfsUcERPCPaYYb9Scpx4kBjf6ywfqmxfzaM18/O5+KlIHCyKCrcdtuRY6UYsPcP5PqMcphtTdXJ8RHRts0WejajQ9tiyWc+Scj4l2envboGtEFyfkb3xs0mSnyjTLkVm+2U5D+VpJE7Y2Yz+hPIWqaFOJn06mhK+Z8cnFoihb1cn2Bs9MRtD3QNVAOOC8M+qWTG3rmdyshDkEczGZNfcnMbCwhzfhZzDOx8zmtQVfBN84TnQl5SE0du9vYuZmqE0ZtvWoksJuwd1CF4do7tn1yi/vyMnzkRnkBRdOPcEGcflFoHhm50I1whBCD5sozXlvebaK2ZTbD4PMdgUmLXZChuEqRriIOtjK4fcnz/7hz6PkWyo1tmMwKgEL/XBbLf3GNwZekTkCrYTEXpO7zC+k3vSWPI2OS6U6TJXhxC46LJnBaUWBQC0aypbQGtkagij3O/GDtoqeeMDFMXiGXSqQn8qPKsiwyVysOMxzGiMRBQdFHADjLYjB++HnGOH3gAXpEQGOYfygPVjBsJGoX9LoO6yaEVsL4ZYo0hVGHxp28+4v/yp3+L/07/BUbvX6H4f96w6xEZnBkOomWul9CaQP7TeQZt+7G7eiIjCTMU7yN7VQlJBeCMKczCw2IwsxnsYsFFkqYxmSkQh5QQEEPBoUejqPMN7nHQKmYsqCSBa1ouGIGtYjBJ0PEDnURJoLugzw9KBZWlMJLQhSSRbG9yPcL4x0jwCOomEol0ryBDO2iTrY1xuD7kg0uV72TjYHrfskvYCjD58RGLCPn5oLQIHUv4MiN6AgT5jasqqLaFE5kLQBRDSUhKuHZmRH2vlfscNPpus0VXGnCTtoEIJF79vm2g6gbueAwIZBpnh2FDCp/j/AztF8/w8LbA8nMegiRTGpjT4+5Ad44bc5gdAkCaIFns4dYbjpJaCdKqKQc0lxeMGZX3HTZCsr6PSfpJEqjRiIfKyRFHAg/zOG+N2QAvnsFd3wJgUqO7uoFerFhXS9enBn0o6eJUkkBpzQNhOsb6RY7BdYPkx0f42ZgEtNfP8fhnM8ADxT2wfgsUtwqnf+uxeg3oVsEWYju7oKTJFYb3QGmSC/s5vTvuHwGtMPj1NdxogN2XxyjuSphPD3CnUxit0f70kRv4ZAzftBh8qlE8aGTLGuZ+HQ8trTXw4zryJ5CYqKHX/X5E4BgXrNl5lxVlnL/8EvuzDC4FqolGPZX9xwHbywT9L97SOtd3IVf24TEWGN55mKMp/+78FLqqaZIDQG9q+NzEdWTGY6g+HQQj2VQ6aqSpkCxTjunKit8nyIHuFdGWF03LEYR1/AzyrNvHOd9nkgCbLSHuto3PhJ3PYc6OUf/5W6QPO7poWrpXhibC24403UVYB9heDkghsrqQdjgcRk+UkBHim5q/98A1NaBMoWAI0jVXN1C1fiorlz02IIFe/AN0vw/lHGCk2NhsYxosnGXx9eqMqXxzxwTXsF8LNyHw1EKaq9Iqxhzj9h6+aWP+id/voUYjrr+tZH0Eqd35CVZfAp9NF/j995cY7oB2CLjUo+158td6FmpnkK40vQDk2Qrj72AfrGvK4uuxIZl2x/XjFWT8TQVdkH27spTrLGm8WhNtk2JeZf1u7xIEAICoRVQcvYJviTf7n5nZHG6chUAwTwgxmo5eAr+ayZj59iLrUsNh/MWuLLH8vM+0pJKVj6kY9mJTmfuXQDXl4Q8P+MRDVQqq1nAuhVZAslewNmHwgk3wD+s3uPl8iK9e3ODDH73Gq785hb29iwShEKYD7/ighsoIhLiDFWvQfuoi7zbfAwZ4kFcEuRsPrx7ZuwAXvcwufQhn6PXIkp/POwet1pL12+9Hk5ZQkdnVBmYyprf8ocGOwNTBwxpKQ2dFtzgFlYlcAyCGNgEyazybwEvAETUsYhbiPODEGhk8cH0jVs+9giZEiyW7g6De6JNB7DYkJSmR2IW883D4s+qmGY3fl/Hz+NpJZ0P3Rn/AFwgHflBD0MXPRovOMFf0nhthtBBdryNk58sKdr1G8vwZNNCRDYH484c+AbonATRKwf7qM+iyhapqqF3ZPefew/cLLP7yFPOvNQmoYlBVX46Rb85J/hpyNKH6PZL7diRGeWuBT7dExYTciDTluspSXsumAZ5fAPfcWFWed8Ywcp3MJVULOJoA2z3lcSI/9Ekbuxj3MCd7vCxjTHJyccbNMCPL2j3OoZ5fwL//RJfB4yNCrs5h+LFGeZLCpSdIti3si1+imiYYXNV4/FWOZggkWwXbA1avqXHOVh6rtyq6AtpMIdl0xSO0pu6/adkJFzkwX8J/vELxjYH6xWdoXp+i7SeoPx8hW19AzUXSevWI7OOCct59yRl5S14SkzF7MC+fMWZ6s4tcJLfbwQwGqP7kFYrvbqPOXxkD7yxU1aDpKewuFNLA8xVjstXnAHCBs6aFvb7l/jDsE1UYDhlSoxgta7wnX2I2Bu4XQENegjqawr19BnP1SH8GMV9S87l0saAXQVAktA0U8khEDeEt8SsYkfV68PtttNaFWJe77ZZFkac5T8wAEY8R/+EK2eOSc3ugC34TKXBIKg0yOWgV90Z7f9+ty7oms3xfEkHy7p+F7hy+Z5USPVZaPeHVhMYh+o4EnxDhKoT/Il9LyNDdaysSmMvOYVBJfH09y6DLCfRBXokNhEx0TZdvPddZJfwDIYyrfo8ISr9HjsRerKHl9+9fjmGfl6hsArNIONPXPPyVVTDPtyjyBqtPI4n15Wgg7BvKcwSgLZMBAcAZjrQB8QfQ9NtoBgr7U0CdHAHCS4kjxt0OWngKqsjjWRCLhIA6KxUJgizC2AAlMbUt6MHb9tBD5ckcW2UptBpE8wHlHVBVMcI0RjNKBxo6TXN8hLbPyidfkPSQbjw931OFtq/gje9GAADSlUIz9PC5Azzgeg7YG+iWlZOpFfxKY7HpY5jVaAeekqWbW1bGJ8cw4xF91oVgonpFtNkMbnkqTZmtvNnSAjP4PIuCQY9H8EcTKO+hH1mF+5JVVWChH3aMgRAUlRLiggdjAKlo7XpNLoV0wvCum40FKB+ASrPo0x03g8A3EHevYP345J55R4mSZA4ERUCMBg4IQJjzWQvUUvAURYTPo4RJpEYAYvZ31O23XdpU8EcPD2gM09nteB2SlEYfcigHD4f4eRU3iqjXV4rxu+E10PEofNsCjYUyeWS3wnXOk26+QJQrARE+4z/aeM+iFHG9hh79AvuXHFWVU0PDqQwHZFVW67So9tCNwuLzHKfzCfDNj7FIjvkPvZ6Me9iBqTSDOTniARXilMGCzW13UG0Lf3EKk2Vo33+ATxIkn72BGxZIVjs0F1MkqxJqu4cPCZPa0BSnrmHvHlhEDgewd/cx8EoNB3j8Xz3D5LdrqN9+BzUawT48ItmVUNMJlB/LzNXAD3rIf7hH9jGB7+fwiYbt9TD4sIfXtGVWjgelrrmRNUOgGdASWHleK2UBvdqzI708Ax7mkiHCMY8+mnE0ASKP7h//AOUdirNT+D9/hfWLFP1MI3+ooKYj+NTA3C3g93tC/ust3fUGzHbAvoLvF2SrSyy235fwl8dwqUL70wfAeySXFwhmVO3JiFBtQkmjFvJxsgPsjp91/ReXGP6+gPvmXVzHMWFxOqKz5r7kPtIcKHLGY/hBwWuw2XSJd9IABIKhqyoJ7qLsTClF1cpeSedLLkhycc6u/45KjVgYKA2kQiCM3h37SOiNnfyBpwcEOg+I5GFOvEqIXqLXg5IiIqRqxsyYhg0U76d4lPT7XahY4DxpEq991UbExAdPgV4PfrPppIVC0o5n0AEC59ZrSu+OphxrhkL6YP0q4Qmom0cMP97G4jkWJkG9FYoYgdZjYxLsdoUPgRCfu1pHdCV8mdNTPP4qw3R6j7v1EOma0dj0tFFoz2q8PFri4/0UvasEpuTZZ1MgKQHVIobaKctOX1vAWC/cNyrhvFFItswHaIdA+fYYyfc/xM+BLKVVs3VSoPiIkJJbpeGteDFIjHlwBg1ZLgm8RwgK0aPOTztcNFWQTBCDTiSxToGHUNRRij8xLSF9fAC8A3BxCmeof7S5Qrqh/MHmCmbvYWqSiOox4HKPdEU+gEsU4BRUvwWWKRDRAZ7PXgPGOGh4VGcWdtbviF7rDbT3T1jvdrWJkLqVXG1f1VCinQyBDypJSRIC0Lw5Rz3LYCqHvGmBm/sn7GD0CvjlCt3jgcgJiJHBSULnLu95QEgVFmx2AXQztAMHsCdIjCfkaWazSI45JKWZk+Po/KWStDuUd7uICBAtqGNhQHtkRX12msDL3NjVDUNGgnOhSPDcbhchvuAXEbIIgk+532wRvLJj9x2c/+Q+4MBT4dA1TGUZTEG7T7ffP9mY4usAnZnLwQYQrXkhqE3K0BWVZoT3RJKHYHLVK+AP2OAA4H/7PfrVKyz/7AT7Uy7CED5F3wp+n0sAUxLyrrSC66VQ1nZxuuIXoIqCGvuCECtto5u4abrtPkLLtDpNsX8+RP3LCYbPj+CthwXgEg0vslKfaKiqppIAiF4BYRRnFwskb15Bf/051L4iuU4p9G/YbjpxhjOTMVGw/Z4yRfHrx3rHeWvTwg17MNdzFN99gPv8Bea/GkO3iMFd2cojXzmsXxi4TCFbkxiYbD3qqUL9bIzscUQTlbqReF4qWkLMq5pNgDxDstrAbTnvzf7fdzidTqGGA1RfnMGbAtmP93TPOzvm5xoNoJOEhV7w8RCWtzk9EU5ECt9YFP/u13CeKX2+4Ww3eX2Jx88H2F0Kb8WwkEn2gBFTI6+BcmqgPp8hvRghfdxDr3awJ2PoTQncL9De3z9Zz9H4Zl9C72sEyZ3b7aJbqQtdHOgVEIto0N9CD4dR/umbOhLr3GIZ+UlEVYR4qmlwE7sA7+OoMyCanTOe69j+B+smrNUYGNM0wKAfvf8DuTiMIdl5mk5FI4ZyXH/9GKoWDp2w1lVwFpVRJwCJ8e7DzpeUC4ZGJfzb25dEBd5/iu/Ph8Yl7AnOSyy8ZmiTOHjqIo/uh1Ds7FXbyrWVznu3owxSnAeD261bLCMBNO4TSqH98hnWn1vMAOx/GiFvAdv30LVC23cYTvfYVDmaZY5UDnuXStHcIJ5hZk8ejdf8O4D7DTxiDk47oIGQS4F6nCANTqslVSJut4NqWnpKYB/dX0mMFp5IJSj4YBCVa07CvZKwqQdzCFceWKjKoREIRl4McFSPITJusWRHPRwwKtPZTqoRyHVJQsmPAWES6arCRqoNDiQQvMAu4fw/3QFlozAYldiUBro2sIWHrhR0BSReYfdxiLukRXG8x/LzAWb/lEV4ndaJwmQXM5hg4hOUANA65nG77S66Haoihx8NkH54QPoDDyi3WkcmrW8lxvRnBgt6NOICKEt6AyTyPQ8LkioDN0BkLKpPbXB7cxsXbyjEnsRZGkkZNJrkmJ8djl70nUoCYMLGc7iRhCo4ztEtmfX6eAY36cNUNX3Bxe3QbcRVazrt5kgFQ0Ti/R0NYYSg6Hf7zl88yKQkA91thDAV5InoAjiC4UgsrI6PYOQgDaQ6u1pJdyGWpKFil9mv976r+rfbyJT3YlYUDZoC+jEcPpFyAdz83Hc/oH82wuayh3rqoYXRG2Z32Yr/6zW68A6jmZS530MNB0hevgCaprunQJRe0WSEhaNbLOkz/zjntf7T55h/lQEKGH/TQl8Tvjd5jvbTFZLpFH6/R1tVSF696ArYLKPLHYDk5Qu4mzvo2ZT3SDa77KePUK+eA3Ivg3Uz0hRIDKwE9fiLY+jFBu7mjjn3gx7c7T280XE+zrQzj3qiYHNN29IUyBcOm2eG7/9Hi7ZvoL98huS3P0GdHInWuwROZrQKni8ZCXx7D0wnwGIZZ8p2Pgfmc5hLFuJuMoTKUyb79ZgUGOKNVZoC/R5Q1dDhgHt2DtzcsWhIU5igDqgo9/S9HNWU1uO2IO/YNPx8Nuc97s09+jct0nUDn2rYfgZVNtCbkrHLWRqRvEguO3iWALBYEUOhSEQMXB5RACgk0XAtxM2yaNcwJxdAr0D77kfybMYjfm6toXKxjBY1DT31gURGRfb2vmvCwnsToyslBaBdrxFlesHIDdIEbnfRLZSjPfv0LLC28+4XP40QBxy5TkUBhCwVTxWADgWKHOLeOjYOwSPlZ2FcSopSL+s9eLgAbDLjCKWpofsFkSVxrowIgIwLQwPG50YOR2MkQngHO19GO3vuF7ozfhPC5e68gD6qkCUWZs+9wZTMKHGjFoO8xt3jCIMfEqQrwPYQD/FmyH1DiV+ALcj2tz2i4vByRmoVZfMuAQCF9QuD8fEM7fUNeRZi4KayFO7+IfKwghGQt5Z/DvckoB0x0r5CEjpmu9mSdFPk3Tc4D0Acp/L8oENOYtqc25dAJUYFi2Wn5QwLoW2hNCUSgfQQUgHhpctXvBgA2ZFBAsh5icK4V2LXz+GTBOlaxc03WwK2pzHMa3x1fId/ePsLHE8n0SAnsK2jNlVSDIM87NDeNnaSZyco/+gFbOuQ/fiA9uOV+N8XXdcs3bmVhCzGXopxjLVksNaUWuBkBlXWsLd3CKlqvqpgD6KXn87ALKuzn7kTurIE6po3VP2sMwa6DAZZ4N466EGP5J0Ig3GD4CxL7o+1UPsKWuxTA4xnJcfAN/XTUJKiYHcfCI8hIEQbSQlcR3gyetunKZTwC8JzZcZDMSSSjeL8DKYXSCwZO4E0g56QwWoAbphC5ApoU7jXfrNB8uI5oVknCWJBww+IX4CPm4xvJFQkdG2ikvD7Etm7W/RfvkR5qojPeYGIG8DJo60EgdI1YHMDFT73+Sk3qod9x85PEiRCsvINnSqNpn6//fAx/u42Mzj72x3MP3zHa9nvMz8gS5/4bMB72I9XMBfnfBbrmkqQoqCqQSv4QQ/Y7SMK4jWgWwtMRvBCkg2befvje27+RQ5cPxAi/vw1yvMh8psNZ8apQTNSsBnXXdsXL4AlYXMSezVcDiS3Hm2hsLlMMfFA2u/BjfvAqAf8/h2X+tkR1OMS9tM1TXVOxlDTIfSSh6QxmhD/+7toU+wHPaiyjrwMt9kgeXYJPxkyU6DIRbKqgQchqR3N6GWwK+HnC6jzE+D2Ae20h2om3b8CtHRezYj3VjdA8eiQ//d/w9cZDBjxfDyGqlv4NIGSsB09nXRKEXm+zMkxlAQfqdEQplfELjseMIoGQFoImXEtBIOtsgQ2W+gsRXJ+xtCqwJ2pKiTjEdTZCXQzjVJZXRQsBpUmpyDLiJQE/wHhHoSUP5UwMAlIutl7CMeRlFDV60UkIZjEhbm/hhAtRSYdYo91UXSfQYp+SjfzJ8iXltm1PSzGm5An4OLaBjrOQiRAN220q48GTEGmHUiW0lxExVr4TGKfS5TCw17fUtYsYXdBFokkobxUyH/KaOyPNHq9Gtsqo95fQu6akUd/tsf9Yojs2x6fp7HsFfI2TcXnLBABk9JDtUzBbfq0BwaAYu7QFkrOQZ6RzQh0u7xGt78GgrWMktxSZI+CANsQgGa6JMVYREFIgEETfmg72mnH98wQCCzPPKdDWL8Hf3MnF99TkhB0484/QQHKsyISAH0C6A0A2UBdCqQ7EgJdIrMREB7xCaAahbpNYBILlwEu81ANKy5vALNXuH4cY1rssX/RovzyHFkgCQ0HMYQizpTSBGo2ZUa5ZLRH29rnF9i/mnIO+LffwjV0e9KjIV2y7h9kkRzE64pWNshG3G7Hxdy2wG4HoxVNhaoqWuSGQ87tdt3hGhizIFwemLOAdN0gfBtS4MKhFjgAAA9ztCT1hShO31pC81X9NL0vEBAByti0ISoSUvBmM24MhxI4Zwlpj0YwZ6dAVcFt6RcQokFjNyTXB8ZE8mToEqKB0qF/gDiR4YIHqN7vqeOVaFBzckz28eMcdrlCcnYCDPvMKdjtngQU2YdHgflV5C8w07uAb/ha2JedhztIXIRsCO2Hj5j+eoT98RF2zz2wZUS1kiaq6cs4QAHtANg8z3Dy9jXaHz8Av/+W73c6Ef9yceADSJYUX4JDKaTOafCT/OP3QK+AjUxsB99aoN8lp/GaFkwlW66i3DCkv5mLMxYVt/fUT8ss0ImcKbw3bsIt/NbFe+1u7qDPT1G9PUXbNxj84xW7utcvUI/T2P3bHlG8EOzV5rwOgyuP/AHYn2qkGw/dePQ+rOnuNh1BbXZwIk3z3nPcZQz8egP9B4bM+NWaBaUgXn7YB1ZrZqI7B/vpGubz12jPxkh6LHR9aqCOp3BZAj0H7PUtA2NmE2DH++rGfejWwt8/Qg36aMYZbOHRjDzStQIaFjfw/Fy9e4/Ru20c7dEuuoEuMiJ/D3N4WZPu+oay6c22yxSRZiGoNlSadjkr8u/xcBS9NnX+J4D3MP0e7PMT2CyBvl6w4QoeGnXN53q9IUktSWC+eAPVWtifPog6QfgJVcUMe+H2BD6RkmfOtXV0S9UDvpY/dHpNkjg24cahSP4VCTWzLjrLYd0roIZDjpGqmuPWAyQTicDSoRmwLjpShsIo7ldS3Pq6iXyk6BzqHFTqef9/hobGJEHvuUeJ1NmIkRuvYRMLiIBChjPCTKdQswltxde76PCpRZXSDhS08qibBLoi38VmHua0pB3ITz1kS0TELCjbGHMvfgA115FPOAYn+i1FQSME+ZyFhc2lD0mB3VfHyL/5nrdC7qEeDuACYnR8RJ6KBCqFyG94Bx8M8CQgD94LCTBYNx4kOQUYiqxzucGtpDmtDg1RWG1ZCVYAZHTQBM27QTkzqKceg48K2dKj7XOhBftfgDLANqQBJgLLJSwa7m/G+PrtFX6/KJAsDGAAW3gANEloa7ZletjAZUn8cN46LkLvSRQT5zp3ex8dkwDO3czRDHbap8zodgEvZD1+gxUugYHq06/aBpetw1m1Jz8i+tkrJYlrBZBmsVIO1Vi4PoeSPL6Ox5PkJuvgf/k57DSH2TYw25pmFa1lhyH3L9rIjoZw0xF8buCKFLpsYO5XcDdNnNn79kDuEgJ6jIb54i3akxGs90huV8DBHD9IHd16DRUiU42GGk1g7+9FltL5DISUMUoUJUZVKVjpDJSQstqbuygb8l+/hN5zBs2FLtJB7+E3tJbVQ7ohqs0ONnT4vYJwpNLRkjRwJv6Zn74QiczxETsbgfgCmRUA1E9XGH2coDoy8BrIth7lEZ/PiGQlRKI2LxSOi86R0Jyewh/Ajx2x8pCpic6JLU35OUfDzsBFyDputYL2LsqXvJcUNmGzKzGRMcdHcMs11NvnMLsZD73FktLcl2+gd3vYj1dMAHv1Akrc5wBATUZof/rI9+o80v/8DZKvXwv7vUb9F68x/zqFrhlOYgtg+NFjd8aivffgsH2hUU3Jpjdzj2YADK8s7DBHohRQ1XCTAfC4gB8P4GU8B+c6DskKUAOaAdnvfuS1NBr65AhYchylJMFNVy0P/pt76MkYdjKAeVzB5xncX/4CaB3aQQplPdKHLdS2hJsNgdkQqFrUYwNdK6RrNhPkNLDrVw5I9w7meo4w4DPjMfeD+RL+5QXfx3zZrWHx348H23IFNeijfn3CWNdtTRXDQUx0/OoVPFDX6xiqllxeYP9sANV6pFeSRxACoGR8Z1c1DAA1Fp5FymfGr9cch6UJZW2CInkJHfLCHzLTCQ/IQITduGipSzRsH0mtAQWGEFYjiVhJWFq/z/9fN8B+zwNWitNOcttCp2kXOFY38G3D0VDb8vBSiuFyIkMHAC+HfrRal+vnnedYbXIMt1zHax9I2JHgLGNMGE3kw/kDZLAfvzfA/XY+h9psyR0aDSi5LSvYxznMxSn25x5+n8He9JB4oDpy6H2+glIeu2+mGNyomG7b9nnguxRwOQsBQP6cCIJYsJkFiIjTTMgjXzq0PQWvabG9PwdWrxJcTCf0KtntABn/6EGvQ50B2imnDDiLEdjOxrG3yhh7nuhC7BtlThDh8qD5bmgYEDoXNRkRKv50LdWbFt14rwtE0YpZ9yAhxCUqzlG9CXM2xQhE8UJue4jkCF0R7jAVMLgCHocJNnWObFaiqXswpY7pgNlSoZmkWFUFktSiHmXIk1TQis6nIEA6nG1vOAcTmRofhBTJxwepDCVSNujqw4MoxVI0cpE0v8AJ0OH1A+s9GPKIvMbOl4T7egXs/cOTDr7zIHh6SAAgpGktbG4w/ypHM1TRPKJ4vEAxb1H8MIdqLZnIFzNUxwXyhxLJfAe12tK1638hHSqQhZTSdJYa9+ATDTPfw0sASnCUsotFHFP4tiUR1BjmrIuRT4wUlSS9YLQRiUbh0AkKhLIiUUc2nrKfoLjf0C89uBVOJ/DBYORoxlhY6ZIPO4YgXUKWwpyfwT0uooEHZTCBZdzQFAkgonNoXSyFm39xiXqgUTzIYjWKaZQtn0vdeNQ9BWc8NBTaaT9MseDm867TEj6F3WxZ5Ak06SrK1+yyiSEt2O0ApZFcXpCLUeTw8zlcmJc6D7QieRL5kzma8vDYbKGPpsDH26eHSlXB9Qtoub52tUJ7PsXDv3mB2R9KZB8eJZrWInnxPNojW0tiojk7wXpiyFZOOv4OwOcv3Xu0PYV0QxJvuiUfoJop6NZg+G0JXJxCbffA7QMJrJ9uoc6Ooc5O4K6opNHDAaAN7N099H6A5PKcuvHlGlpptF8+4/1+9yOSfh+q4OGuigLu7gGmFjKlapBeL0jUaxxcptEcD2A2NcxyC7/ewp8fQ7ce2ZIhLbrxyFcWxV0FlxmkixK7lyyi8UGeizfPYG4egbqBqhr4PAOenSLp9eCLDFhtoMcjUalk8LMxPv3vTgEFXP7bO3Iefiavjs+cSJK51g1HO95j+F8+sqidjKmakDlvkMUG3owBYn4HLk6hyiqigkzB00+akrBu+Mt9lKr6qmKxkOdob+4Q8kUAkNPTVlFZYh8eeQiDaKFKDHyjIgKqxVkzeObb8Nmd6wyKQuMkBxLN5AhZm+mUryWOiCG74PArKiHaFno87OKB5bmPqikZS0TFARAbr6g6Cp20GJopo8mfuXuIHbM5OUFz0oeuFaoqgQLXgz+voJRH+bspRh/IZwuHf+AJaen+VUvZX9tXdCpvAdV62J7k5DQdKd6mABzXFInIjN1WRzPyZSQbha67e+6z0cCM5n5avBCiOiqMY+Q5SnzTCkQqjM0s4wYlEEnwWuZG1idZwxioyRju5ha+AReFJLd56zqCRp5Dnx6jPCZMolof44CDB3IzYhWkWwCeFZIPZCMTZv0aN49jFL0atlGRQBEg2XShoZTHsF+iHg04N/aeEFiYgTQNDj3qoXUnXQQdvMzFOW1DSwW/2rBybZvoF4DMRLJO0Kh7J6QKbeKhGLgCUU0hC01JVLGv6s5CV2Rt4ctMJyxajEDyeQa/3QHf/oTe1QD9PwzQXE7x+AvOMOuJwvpVhvz1GabfVMj+8Qeof7xHIcoO3+/DijwoSnGaoIX2cdOBAaHKyiL7dAV7dw/XtnFGF2yFvRw20XJUXAuDBt+VJav8YMUsjoEwpuuiILB3lvK1vIcej+Hmc/S+u4fP0mguEvz8w5dbbWj3GRKujAEmI6iHOUKCn71/YBrZZETkQRjJ0VO/aaO0x3zxFmpfof34idd/PIb76hV2F33MfrOCuVlg/VfPcfMvDExFv3tTcZE2LaAt1QDLL/o4/i0rc9+2HCmJgsY+LqAHnOfTXGRIiF5siMNsOPgIoFdA+0lnzCXjLEghmZyd8PvHI7jtDvrz11DrHa9l20K9uID75h30bIbkaApsKRGyqxWSly+wfNXH8FML/T/9HfzxEdRkjEQ05W7ch58MUB8XyH71GXD1iPUrjXYA9G48vFHYnXske96T3qNDOdNIRQFQPFrc/0mCZuzRuwXq0wGyX/8YSaB6NIKejtD+/ls+M7/8HObTHezNLa2KT44ZbJRm0OenVKbMxvBaIf3tT8BkDHt7B11kJK4uKTf1Zcnr2rTwfcrvtFbkDOxLQtllyajmZydIdg7DKyDdOJjSIllWUI2FO+mjneTI5jX0fAUn0LGab7h2np8T1SorogFnx/B5Cr0racxUVbFhGF5ZVBONdtpH0looALpunvBSIsvf+eiUyQ1816X3iXGLGvS7keahPl74NX69gXIO5uyEe4h4BAQfjuTFc7j7B96H4YCkQxnToW0FVdhAD5yQ6wpycbRYDiNlIStupGGcZ+dzFhHexy6eqgHHdZ4mJKculmy+5Hw4VEG5/b5roIQD5dtWOEdC8qvYbAX3T+Z1FE+dRYUHFRRCKsuAsopE6FDQ6DAHdy7aErv5ogvTSdNYgOjZFFiu6Na5qaHrHpKiwdFXS+zrFKurEexvehjOPWxBhMxUlMXaHDEBN8gBty844s7nQLbxqKYkAuoG9AFQgK49oDrvAK8pT22GQPnmGNn1LX0uhLwfHVL7fdoiG0NC40EiohInW2jdxSTrQU+cwCgnCUE3XZCD6hiRztH8Z18+ZVA7C318RKhaHON4wyr4Xh4vgNcKtiCMmux4uJuKRAgvJAflWCXBCzySEabT73rY73LgoqLmX3EMUE88bA5s6wytJVwbUq3CAaKyFGoyhh70xBpYCCGhKgaJaX6/pxQKhNmibC1IJcV3PxBgvPNdoIds1J0t7lN72nAN7XodRwput4speSFuNRz+Kidxw2cpbR53O9i7O7Tf/wD17/8OZ//db/Dq//YBL/9fjzj+dcPOK1FQKefZbrvlphGIdWnGObrpPABCYUKveno36Ps52ps7Gf+oiP64xwVlhjuxLw4kRaUilBxdA4Gns7YgE5LfByCqBiLyIfHG7bsfgdsH8h5C0JEj4YtaenZYdNETLsS+IjzqXTRiCrHKKifUBWehBgOJ+j0wTbq65QwxaJdnE+h9g8H/8Dv4//xPcPcPGP2nj5h8CzRDjq9sodAMFPIl7W+VY8e7/+sv47MQvP9pScsOJPznA5QbfAICMbFuaDtbZNj/8QsWfgCzKAT6VMbAT0Zw6w3a6xvOgO/mcJOhJK4lNKMBgOkIfrWBf5jD9wuYrz6Hu7vH6JsV+j8uyeOYTeDvH2lf++mGcb9jkYjdLbH86xeoxyQqmYpIXbYkAlVPAOU8BlctUakC2J4bKA/kc4XNK6oE/PMz6NMTuuFdnMKeTGC+/oIz2DXn48nb19Dnp2TzKwU1GsCn9BDwRYrs/QNwNIUaDmFmUzTnY+jlDvbmDvr0hM9C3Yg2mhI5n6dwox7s/QPaDx85IjEGPjWwuUK2stCNQ7KsoMsavkhgc41qliLZ8HBLnjHC194K3ymMwquG8PjVLdRmz3HLzT0PrCSB/3CN4q6Cbj2qkxzVyxmaN+csUsTTg6QzStb00TTaVvuqjiZjSsyZAv9I9QqEQDEv4VhKqYgqtdc3LARmEzR//Br2F685HmsYMnSoHvLW0hNisehQBbH6hWJkbrAedmUpagZHTpTsnyrN4u8Ott9uvYlrzIlzqY9udGkXTiX7UCT3DfpQRREd+3RRdKPXYOcd5cO6U6nJV+Bkhe/1TYsQAscfYv4FjOb1FcdOAIxB70nWQbCRFtTQb3fi5Eqb3XQLNIuCh//9AMV1guKRI2xleXYp26lJQgiQl+Y32dLmN44BGh/ts5MdQ+5CMVBPlJx1ATnwWL7twn6QJgx0O4ho9zW7kxDHHM+hjFkqh+qy5FB3fvhgBKOXuKk7xxxyAH7XRjgphsvsOjIYZ0NyEPXSaPurWw8tiLxL+F89AlKlaH+YEUZkUcB/b/u8aP1PCu6+h/WfVcgut6gee0gWhrCsBZabHpoywSRXcM9OgZtbSuy8px//0ANaRTZv0LYGiFZ5T1LVfIlDcxo9HHBmvV5HiZ9brbvr5VxcKJAOOf6skH7C9+qigJICIbJvQxcurk2BVBhMdLDbP7lhgQTj9iWhdwC9PxTo93ocz6QHXv84cMLTEjnaHhhkBEMcQXrscgVzeozk5TPO5aq6izL2jvO8fo/QXlmJD3kwASr5eSUBMc6/pxO4ZXAcM5EjEa5dzD1wnl1FWZHk9+Yl2vMJ0g8P3HzF9EaLpNDXNTwAVdewdcMgKoG9oA38X/8xqnGK3n/4Q7fptS3UyRGSYKMLkEtRN0gmY/j5Eu37T3LvCC8G//yT/9iDN6fYvGThmgj0rRsgbfkcP/xRhvPtZzD/8ddiVBRcErviJ8RxBlvYcC30sLsu7psfUNxNgF6Pmuab285Wuq5pXVw3nOFK0aC3W5jPX8N/uoECiwZ/P+/04kZzvZ6ewGqN+qKPLNGoLobY/8sz6BYY/2YBLNYwqxo6Nyg/O4WpPF3Lch702+dpuHXIVsDuxDC+u+o6HZuJmU7PY3eWov/rJeq3Z0h/X8ENe9BVAyxWKP/Xv0S6bpD89ice3P0eI5p7PUYTiwOnnozhpiOsv55g8H7HEVXFA8ZcnMFNhvDnU5jHTXTkxOMcuiiw+avXGK6eof3pY4SJlffYnRrYPMHsm5oy5dzA9hK0fYNqojHwnmM64WKY2ZQHa2Phioyz96CcKGvYfUm0a7VmWp6zSDY10l2OaqKRblrYfgL1+hy4ue08OAxtit3DI8yLZ1AvLuG+/wnau46sKaM0K7C2efUC/v4xOumF9RZszO1qBe09zEy840dD4P4BsKrzGJHi1G+33aEss33dZ7ZKRMVmMxamAV5eruPzyuKARXdQNCml4MP4yxg6JwryAAC+DLyyRIKpNHSecv8VpY4KY2jDmbEqBF0J+0Waxj0ZUkwgTWMsrh6N6P8vY07dz8WqfE4USDp779jQhn0zxK/7suLvDFHye5I1zYc7jD4MoGyC+qcZxlvuBWT3E9o3NXiepBwbqlZIfznrRyeJgOzo2f3nS7H7lfPAZXwNWBYIKmc+QLoFqiPAPz8H5vPOVE2Im75uyA/q8bMHYyZGF5MoCN0R9JPIRpUDq2NeipzPWXhPr3DsS7FI1PRnB54UCAypyKLnOgDURwXqCZA/cu6f7L2YbvDQD+5hzZDmP151c0bVsgDo3UlusgOKb3OUlwmQOfjUAw0NhupNBtQapvSxSrf3D11wTdtCjYZQl2ckIH26kc6LD23owIOVLd+AjsSb4NpmH+as3GWWFTywg9MdxwMC7RV51KJ7IWWpPBctqgOc7oyUgm44oC1KRY+BQOwJpJu48OXLVRXhYXENC4YPejLmhqdFpvm4QJDRxHmamDsBIBxXN4TP5IEPhESVZtFoJ4aEiPTM7/Yk3YXDrVfAyO+wMkoJDlt+v48wG8krAwQLZe85WlFFDuxLVMdn2L54jsm/3cFGv+/Hzpv/5JiFZ+igrUVycY725hbpu2skbdvNQkcjqPEQqz87ZwKXJG/lawflPNKVRfLux1i8KSnWwjOtVhsc/aaP/dkQuwuP4Y/ktCjHjO92xAK2GaVIpxPYALUK2dSLIZQ5O2XA0nLNRZnnwH5PX/PPXgEhiERkgvrkCHpfQo+GfH4kh92cn8IXGfzVbSRnmvs58OVr3Pz1BOf/9oa+6XIo4WEBlWVoP15Bz4YovruFm43Q+4f3sH/1GrZQaI97qN+MUdyXMPMdVm9PUM40zJ6fc/k2Re+W5KbQkeQrh92JRjMgcz7Im9Ktxzbnum1fniCd7+Fen2P7aoDRP9wC0zGSnUWy2KP54zfkIhgNe3NLGPloCtzPoU+PYY+GMI8bjH/dwue0XYUG/KCAH/ag52tgKYiOyO7cdg9VVui/X3MkIDK85OIc2/M+mpE0HYlCdZxDWY92oNG7qaF8irt/NcX06C+RfVgA93PY23u6Dq53wDfv4EcjIEvhTqdQnzgvd9stdFFQLr3fQ+0qNP0x0p1HeZzCpgrDyvL5EARVZVkXGtVaYDNnoT2dwH68JqplXZy9o205Fslzya+vuz0kFNYA3HqN5HrOfVlQMVdWHIOJQVhYF1pg86BCUv0e/BPPAtmbxFTLr9dsUozhyDNJRGmAaHUdJc7bbbQvVl7SCVOSgf2+5N9by/cpyEPkJ4CqArted4qtLIEeDSOKxg/uIhLptTRhwkdTWUZ5sfcRUdPDAdxnz1EXCZLlHurTHQsaQX9NccT7Ge5RkIDLmdK7uYRXOVxqYCqOvpTrlGwA4A27fN3S7McW4o5ZA27IIqA8kTHA0iPb8KGuxyL5GyhBF7neTMlCwycKTR8oX4yQ/Vo+v6D0kc9mNPeai3O4+SJaRIevmGSbZkieWC6GeFaZfQd5hhJZjttsWYXVdRdcUdfwdZe25ZsagcZmjo9QGR7cLmGVozzhxHRDONHUHtVMjFbk4M4XiJbASUnNcbIVl7E9MP69QT02gAdc7tHmHnqdwOwU0p2H3lQISyFEIUJrvvefPnWjgcCYNIYHWfsU2QDA8ITeU98ANTjFYapbuE7xsCkKKFN01WivgLNb0eDWXdcNK1VyHomDwcABzpOnoFSHBlgLSDwt0oSHIhBd+hAWWK+I3VPU/Ac5n8geu9hOzQdCdzLQwItwYdEZI1yIJhqDIBBPUnp503BoD5iMc0cpNEzQCPuOPRxtUSWsKAYxBVa4JAEO/qc91HQCfzyDcZSNxUJJCqm4+UlCV5AEue2uGzvIc7D/b36BzaUBNA8vr4HVKwNdAyMPpH/5K6g//AS3XsM+PHLWKR0gegVU6zD7vUU51aingBOCjzO0rk52QP+HBZ8LkXUqY+DRkNT2OOe1n4zj5h1CVZTRwM0doJirEdajnk3hf/EG/sdrFoJ1Dfe4IDMegD49ZpbBcMic+JtHDD8OyTjXmszwJKF5TJ5D/dkvoLYl/GoDTIdwqzUG/7938JfHwHfvkb64xO7zGQY/3MDUx9g99+h/UmhGwPaVx/R3hC6TvcfwY4N2QHvu4oGHfXkKFLcyuluJX0CRQO8b7J730bsmG1+v9jAbQpXZh0f4+QJ4dg7zR18Dn27hP14zq8B76B9vaMfdtFBLkRUmCaVaO852vXXQp8cstldrmJfPWMxuS/g+7aIhaJzNmecAD6xeJ9A1kFQe6c7DlC2SnUGy11h8lsP+6gKT74/Ru9qSCPrN+/i86skIaB3sZ89gpmNgsYJ9XMDMJjCjIZn5SqEas/FxiUIzTpECMY0xoIARAarpE6HrGnoygpfYbeQZEb8k4RhWxo1qOBD1i4pdYNi/3cMj9LMLFpi7HdUpooQKsjjV73GfCPa63sM+zDupcZYRPdrK2mukUBfmvF0s4vepLI2qKJUzDTXM5MOhFPY037Zk2QNwor4xEpIVJMMAun0tz3nwVzU7/qDici7mufD8aWNDoJzrQoqCqQ9IaNTvVGcO1bawVzcwpycMQDvYi1UqGvpewRHCjvHWyfQMLjWAUH+rqYISfb83iI6Z1RGQrTreWogLDpkT8BwftgODZOeRrXjgu5QIQOAAuJRrCZ7E1e15gv7b12jf/cjzSRoVaEV0UM4L1StgZEwQZJS+bSLhPIme7kHXGapI+TPyHEpxAekgnxBYM5g58GqrKEOLJJdeD+WxEV9jHvY2VahmggRodmHJFtGBS3vOO9o+YlKSskA94QbrIcXEIy+KWisU90pmlGTzqu2+24BF1aCDukHsi5UBfC2zYHHmcyFsR0ww4FwXtCMFg8oyhpGEw1c0p/HwDyY4WcoZ1oH+PhBlvARjcDRAJyeUgrYIWc1DyJejIWHC4YAPv7UxcClC7vLFECKJjT0cGwBxEQYb37i4gbggw72Psqx+n1C1ZMb7sqIJ0HYHM5uwyCjLyAYGhPeRJLzOXsyiJBo4SImUUhEZCQYqWopMaEp1VMKHVkmOAz9vDzBDmREP4a5uiHQUBeekj3OYkxNK4ta0ugyBGQBQjQ3KMz476c4j3Tg0A43Nc437P05gvpzgov8F9P/4X4Q0WUC9uITPE3gHmOs5Ru9vMXh2ivWXIyw+pwe4KYHi0WNwY2VO24OWEJFA0LL3D5wpv3wBv9vROTMYppQlr7k8p2o0ijNTe3MH07awy3W3oWacbat9TUlrcLhMqdlONy0Wf3WBwccS6ffXaK9veI2yFGa+piTv1QVNd4JRztWDpNRp2ELDT0awmUJxq9ipPAKAwvxXHtPfeky/2UN5YPUmRVsoDK8cdmd06KwnstllHPu1fYNmNEI91Ej2KeqRQbrJkd/uJf1RPCCEuKsGfbjPngGVhZL5sZqN0VxMkDzQgEeNhrAfr3iP376kPfJ6S7Jqn0Fcvl+QQ6MUMBlCrVZQRQFTk2Fsc9o9uzGQbhWSvYXaN3AnBccZYlC2vUhQTccYXNfIj2ckAPYKuFEPPktYbD0s6AL5agD/uIAaj1C/OIJuPeq+gnJkdbc9DTy/gP2n3yP57A3qZ1Mk6wpqWwKthb2iy4s+PoKfjggDb/fkaKw2MfI5Nm6lEL/kwNLTaST/AYgESACwd3dxr36CumVp1OsnF+ewISRNZsrhkIc20YgI1gK9Xtd8yB6DNKUpWl3DSnAa2gru0D+l15N8GQW/3rDZ8T4e/oesfeaBHEikg3xQnE2pHlFRdQQgJj/6/Z5FsJCAtfAnVJ4TBVlIMFJIFhVnyeDU6Js6cgGccJkAwD/MkWyPodtUmthQFItJ1oCHNoS45zXgBOTxmoi3qQDI2Cx4/YeEQCi6AobcG6+JjKdrjhi8BjavFPq/OkP+7sc4egnNZfDWCCFvhzyJiMxIo0QVgFzMwBLXWQpvg/OR6C73e5In8pw3Vg6Q4LxE2Zw4ycVDR6M80tH9b3+ioWvfeatXHrtzaiDTjUgiJBDIlF3lY+TnlUVkG7d9SCAJZy3tQKou8Xfmjs2qj/GHwae6B29zeqCH5L26hs8yptStNvEA9HXNbjvPgaam6Y3rVA5M49JdhKYSm+QkgXt4JFFSQhiCSsBbK7OlJmpPvbjv6aLg5h9c/6SYCHabEBan6R+zGJDFFAya3G4HJfcsuGJZIceR/GKe2JDG+aGQcAKpL6SO4eDwjNdUS4xv2Y1NIocksHoFyvdCdoSz8JX958WSuCi69Rqukko+lwAkgfORpRxdgOY5Khcr4od5HD957xlpOhpF/b0uio5rIJtCM1CojizyR4PJbxbQj2v4UR9JOcPu1GB/pjD/usDp+ldQVQM3yFFPcph9y4P05pab7e83GP59heFf/QrX/9UI9ZQLOp/TsETlvK6q34MJ0H1Bqa17eIQ+OwE2W0pltaBQMiZQAPx4AEhoCpyPm7Tbl9AZGdr6ds5qHmCXeHxE2V+RwRYGxUODZL6DO54i6RXAbs9IaADueAq1E6+MzQaYDIGjCfR0hCATW/3xMcqZxvpzi3SpYWqgniqMvufYpJnwIC+POPOsBwptD2jGHjb3yB/Zbe0uAeUSDG6Yde410b79SYLiSgrw0B1e3VIxUhSc5ysF7PY07trukbby/f1e5MuoLIX/4QOJaf0efJrwetUO7t17Jp49fwakCczlOfy+RLppkS8564dn8QYHFA8N9HaP4j6Fy3owtUK2aJEtKpRnPajWk5j4MOdzmidI7te8tnlGcuPdgu9tX6IZJkj3Di4xqGbs6rKNAlrK67zRsIVBel3CfvcDzNGMz9doSMOyhwX88RRuOiQatS8l9Kp7rgFEW2c9JjkUWlO6VjfQ3lOBIghddBUFxIlz00m4pSiA80Bmus5ZOnCGdUnSZ5pEtFGLw55b0TUyFPu8R+Q6RF5VIKUpRdVKsPyV1+DcH7EZCNJyX9ckQx9A2Xo4JOIg+0CQM9rVBlGBIPtZGNFAG+gso1RzvYGTfBTuxSqOsnW/Dwx6cFtGeEeSpKAA+e8/oX/5BsvPNBn8Um+1fQDC6FcOqMcsDNJ16OIFMdxw1G17VAToih1+ONOA8PMKyjIttx0QAcjWtOFevk3xTFAAKJqeIfD38pxFb2s7NZXItyN/TRskEVIVWZiSGUoI/oGSaESlSOSQsJn4cwFCchb+Zxr25tkRZyISdkD7VIFKxB0J6IqBZqhgJbQtKdn91xPZwIPTZqJi8hIsZy2Ec8khSFc17I2QxsS6kVrwHQ8ugdNDpWRGI3aiIV0NiGOPUHlGXTfAgzPPeUg2LQ/q4OuvpPIWD/5osFP0uyJJWO18qt1TAqbWUIMe1KAHe9VxAjAaEULr9ySdahHvzSECE3Wxocpbs2s0l+dcPItllBYpmZmpyZhFSyCfbLaE5eXwjzIhy4hJv91J1gHRonDwm/E4pi6G9x1ISV7eX7TkDBvXek2kJowgrIVfCnIhMztlRjG5ShcFJTnGwK7uutl/XcNWFQuGXgHs9yQ1SbeiBwPg/BT1WCHZakzetdC3c3blHy3636YYvbiEPR6hOi5w/xcTVDOFyTuL4TdL6Hve/+TZJdqPn7oUtP/5H/Hi03PUb8+wfZ7DbGrYb76PDl1QGnoy4nu2NvogqPWGRYzAphqgRLC15H3cPgInR1AvL+D/6dvo8x+d5MoS5jRj7GyWQs2m7F40HcCy736AOTmBGg3YGfcLyYe38L0cvpdCb3YcDxQFO/C6oUGPURj9D99i968+Qz018KlHPic5N1sA/XtalFajBLsLhWbkkX1UqI54wLnMI1tq1FMHO3DQjwZtobA7MeIBYqAbWgXf/fUMo58aFDcp9IJSOLd6RHJ6TIRjWwKjAVTd8L2v1swfOT5igd221D37zmffjMdQMaabjY07mbDYq2v4zRbp/Q7TbYP5L0eotcLk+xrZwx76YUU/hfUGo/sh/Godic/9b9/Dv7iEm/Sh5ySHme8+op0vWXAPBzD3JHX6X32GzUUfpnYoPpZoPxugHnOOmy8tsKDvh/vme/T2z+GORkieXVJf/ziPxZ9SCmo8hC8K+FEfmL6F+eGKvBdFtr4+YTNg77jn/TyW163XHEOOR9BnJ5ydC2rAubuO+vg4Vgt7+4FFr5IRAySFNO4P0wmvkXTvrqRLocoyzvfFm8PtS67hLI2Nis5zuGYb92O+YTYLTvaQ5MVzfva7eQzWOkSZQ4MBIDYWh+OC6F8jjYNbrvi+vdiQG8Nxg7UkXFoLM5uwUNEKpiDKGZ6xsK+5+QK9hxabFxm5QD4w+gEoRI+bdCtk97GcaQ3PrrZPhAxiQZ1s5f9qwCcKbcoRuUuJKiSVqAycj1b49Ri02Jb9Uo+HVBKFDBVn4xmmsxSqGAJpBnt/z78rciRPjCGsi5WTVwpqdNTBNEA0tAkJVMG1zNd1TGCLEBGYydwMEWV/SeljKJDN+XuTvbAiE8L4h4Z41RTSNXSzlUNNpde8kMrx+9K9h3nYUEcukodwQATIPWj6fUVYKsCqYXwRrkd4uA6Tu8JrBdhZDfok9AEy5+5ymPWQqV0hkY9X3MQZTLhp3rF79RK/64VoqV895/fsKyhl2WEcDaH6BYwxtAYNHvwiJTz8PTpL4+L0aQJslkQdZGOhTemQ3UJZdU6CRh9EaOposRsyxWPYh1gfQ0EQI2GbOx1Jl4cLjC5h9RNL2yiL9Aq+auMc8zBxzIyGtIhNE+imhRv1oNc84EOmd5T0eQ84z6Ku5O8O5E04JyQchf77TYxyBnhQtO9+BN4B/csLlEdvsDwDTG0w+gNnoqrIu8+SZ0Ce01Tnw0ckj3PMPp7xED05BpTmhqwNE+lGfcA6JAnhfzQkpOLkiEWqNih/+RzJpkZytyIUPO5h+7KP8fycygRBX0KQFAD4V5dQN4/00+/xkLebDcwRjVngPdxqDZ0YvofbB2A8YJKddUQhBn3CxFkqSYMtVJqi7Wm4DEiXBs2YXYo3QDnV0Z98f+Fg9grNkHNJs6dbma6B4Y8au+cK2VxFe2+vgdVrjcGVY7rZRKF4NNBND/m+BhZL7iE3d8DoFdqzMXTVwtw3QM5iyQwH8ImB3pfc6A4KSgAxpU6NKbczkzFQt/DjAdwfbknkW25gHlpM8gS6ttDff4R9nMMdvJaSZE3Ml9w8hwOojzdQp0dwby7Ysf76W4SMeDuvoesazb/6GvvTDMp69D/soO+XmFQNytlMOsEGfs3xjzk/gy8y6OWWbHxbwEynkXGv+n3g+g74fkf76jQFBkw8das1uTJ394jW6zJS8rKPK+EuKeEM+eWKRl3BjyMqncbRHTAU6/AuJsappIiFZww7G/ah50kkszrJD9DTycGe2MC1ndOsShKo0Qgmy8g12Gy79NaDtD2I9A/e8z0H7xVh/0MLWi3ZKE72p4Cgom0lMI0mPyEkB0nyJEY5GGsFr3wfiop9yRTEsoQNuQVhbOLEZGg4BMBEzHqiYBOB8IMaRgHKeqbgAlH2pywP+5Y/jmQfDn15fjM2wwqIGQDtQMV/NyVfK38E9hce9385xdHf89+in4hwuIKCgdedo9No7ibndhI6/5jKFiRm1sI0ZG96SS47hIcDlESyVFeRxYdqNII3hPvSLQ0PbAbYlBfENITyrbxXZxFnbgE+SXd4EsBiZLrQ9lkthXjgaioErKsKeFx0cZniFU0LSU23uGCGEFiowZVKZv4RPhPLyMOIz9jZGQM16PPQj5wJF7XzSswtDjtknaUsCISYAaXh5vOY8KWenVO/vC95IG+2JP9l7I6VMdDrMhI7goQHB5a5T4ib/R78bAyXGqjW8SBKU8r7xBTILZb/DFKkQ19H8IySPkN435UV0BzIB8NGs993MqHw0CWEY8OIJIyTdL8PNRjEmWQolMK/4XgK9HNUZwOsX2XsniqOjpQHiscxiscj5N/cEH0SYqp7XMTuRRfMcAgua2Y84sJZAHq+7oiqJ8dMVBPCo1ut0XtoYfYZ0o2H2gX3xIz3PBi1yIYXCi8nOd3dhRR9v/fUjN8/wu64kcdj5mEOTMdov3wGl2kkdyv4hzln9Vceo9WexaxWgGG8sB6PuLnN59BeXNVkA0OSEAXxnozxuiHUOejxORn0gc2OaNDJBHqugKpG++YczTBFfr8HEkMURYXNSqEdePSkXrKFQj1iwW1KhWRP5rNX9DAf/qTR9jjGS5ck7bJbUcjnHuUxR4HpxiMVsEc5j+ZshNQ56PmS7++fvoFJEuDrtyg/P4PLNIoPa9hRDl23MPsKyckR2pCPLrPd4E/vPt2ImmBCn4hxH/r1c2aAiIFUerVA+/0PsPjZl+584amD53Vy6zX0fg9zformxTGSV8+h1ttYTOqjGbaXGaqxwuDGQ9WclaubRxz9rg+vFfSuia579u4Bpm0ZS70voZ0HegWVLNc3EXaGMeS0BOlgr8eDb7Pp3mfYp9IMejyMY8goK142UatP0lwWUT+7op14kOiqjMReBI+OYOwmpLswSlIpmww4cjXUcCBIU9tJckEumDk7pVfCeg01GsE9PPL9WhVVVDrPo0ugSlO0t/eA28msnydmdKsVF1oAwpvKIloD04WaKTn0Vb8feTVIE7Lkh4OodjqUIzOKvEJydgLVtN2+Kkl7bkv78HRVw1Qpkh2irF15jqHDmNprdv5h0QcEwCvELI1kz2Kh7SuYfdcc61rW1d7zDAzmeI7cGl2z+E5ev0T743t+9OBDEkyQjIEvd3zmqypGlWshiiecDQiZT3UzF3M0480ECLNZRscGqcZhpxsZhtogeNir8xPsTgy7/z3NemzKikY5kfXJhwyRnMENyebdTCVmKbecjdhcGJUyVgjWrMXcIb1eRpg1xGqS1+A6731jYriEzlJ23WKOEJzrXC2zMKVpUytQfuyClSdUp3TUjcLZOHcP6X7RDlZT+hI74O2WsJMSomFr6SoWEAvbzW2UONf55UrcqKhP1ZMxcHocq+XmGW98drOBy1P43ECXLfTDKn5uPRl3bn77fZyJdZnanV2mylJZDGXkFwTdv8roDoi+7gxugjFQIBcdwIpPvMBFLxxgqLCoAfIZ3OfPsfpiiN2Zhs2AekqzHd0qVFM5TEYG+2ONmT9H/ruPQL9HNGY2hlpt0X66jkErYUHYoyHggaPf1HGxBJe+kBzmBOrLb7boX6do+gp+s4skPuM9D9TxEFpp6rN/dnBEo5IkJYtbNOnoFdyApAgLgSz1xQT78xzpVkqSLCXEezTlmrqfd6qJ3Q6+1FHn7F5ewFw/cE3OTlgEmhx+UEBVDQ1q1huY0ZCEuNWGMrkXl9ACV7vVGro8Ruo8bC9FUjVozic09BESkso4autcPIHy1KN4UMgfPPbnVAnYQsX1nJSAXnOsV556JBuFbCVIQUm5YDMC3KNCeZxi+NMOvpdBNwP47Z6hOEkC/+ke6W+WMC+foX45gzMayaqE7xe035X7pvv9GCYUinJV5CQa9wuoHz5xrl4U9IBQCrif43/pSw/6T0i03lpAnlFXllDzJfTpBGq9hZXUQXN6iv0vL7C9ICrGIBdJNDw9Rna7YSLhoAd1xEhXLShlCG5BnrNgPciMiJ4h1sKGMYfSUOPh05z6IOXtFVHuFufogRB7wNfxTXtARAafhbrmQZsmdM8EuCcF/lTgkFzdsOi3Ntr0AgD2JSH+oMsHkFyco/7yGXTVQm+23E/m8258F6TOSUICYZZyDLEvYcZDuvx539llhzGz5vgSIeimoQNo4AE8adq8i4otWBu9B4KNe9gLovuoSJ+DjXwkOrquuXXrNfSuhs0GnT224tkVUvxo7iNvVyTtrdQoKvgDVHKoG56NXgLxkh2oAqhImC9nGumWoUEuBbxStCk3wON//RzTmzs25KuVuDGKkdNuR9Sy34ucLQAxBjoBpAOrxBNZCYkjSbhpzRdEBCQaWBfS+RkjUbGiyZ7NRALCi9qejklgEI1/uvZItx7NSKHtK2QrGqm0PUDLxXI5ohSwFaQm2SJaBXstUIjubBWbIS+yqTxU08ZZ86HntBPyjAqdqcRbxgo1zIm9j7ntXh6CsJB0rxeNXWIlHrzssxSuBqKEDyAErRXZ8ikZ7sFYg1LLBM7u6Etf5GSx1k1XcFgLPexFQksosFSY26YJ3KSPxS+GWL3mRRv95DFbVMA//p4wWJIA52dS8FgGdhxN4e8enhg/aYG3IwFGUhShhSfQK5jhXdOUBU3LxC+RKIaFYibjmA6oRyOSuzzlez8vjsKi9xJBGja75H6FQS9Fuk2xepXAVCwUiweH2e8a2rYKa9pf3aI90CvP//dvsL04Qe/+FcY/VMh++4FdUJZh83qAZgy4TMdZupmMWdGLiYuScU1yO0e6mTCfIkQFC2HR7/eAKDuefJbg/RA22JbXRV+ccUPb7WMgif/FG+hPD0BikP72J6TfJJEQqkZDPhtXjCf1Z8dQmx1Mv0dC5O091NEUbjaCeVyRlHl2AvfhChiN4J+fQm2EODXswTRTroWbe+D8BFiuOAqYTUiEnU3hP9zAKA33+hxqsUb9Zoq2x+Jr+J4+/7bggZ2uCfVDcUY5XlPjvD/jOoWGxASLxn7qkc0l1ayghtkZhfGPnO3tjzVM5VE8phJN6qEGPXJBTMM5cpai/f4HpIlBcznm51msY0FlAuK2WhPlaC2gS96rUZ+qoJMj+MQA2z3Uvoquiz//Umkm5lcdv0YloluX77GbLcddSkG/fo79FydIlzVcqjD64LB+odngJJprtW7gR7x/arMjcS6krR6qddKE8kxZG9xjhaTtk2gV7Osa2GxF+jqLstmwvgLjHSL34y9yT51Rs4zNRPg9wSffOURb84TJfUo8FOxqFQsuk2UsVtdrXp8s5fhmu4+kZ/WXv8TyzQDp2qL//Q28MVHFEKO5ZexHt0667kUflpLNyeGeqFJmmKg879JIlQYgpD+t4HdPpe0AnniowHvoHkcmvq5hVyIXlhFnQLrph7CLjodPQvIA7gs10Ir8TzcAHKBd1+mnG4/qSHhrGtELQHmSANsei4BmIER4SQJUrY+v0QwUkpJ/rsfkAZiGijqfc6yW/Zs/RfH/+J/5mVebp3LpqiKPJmHOh7cOyvI6JvAuzl/DYRA65yiDA1gtOh+jVQ/966EUpSLRRCVHM8kAkS8EDWRIPNI1/64ZssMIMcER4hcvZbMnMuAyPivZysN6diLaIGayA1IgbGh/24VNVBwBCKfB1Q2U5ow7XiBBMXzLJDttOovNwNqPccB37PT9wZwqBN2YSfIkHjccarZp6SoX5u/yumHz0QXHAd576CLv0vSatkvTKnI+iDIXU4nhTHxdYvKtRu8uQ/5QwtwsiDIoHaFDv91ygUixAtlk46xNSBfU3g6palWa8HnbkmAkpEM9GHC+5xxQloTOQ+iG1pw9agU97Nz6zPFR1znsyy6XQb6CI1iovNsffkJy94Dk7Uv0Phio337HDULIpna5Aooc9sCvAADU6+csEA2w/BLYvCwwfPM5eg9voKzH7kyjnnhsLwwGWQZVVVFTbWaTzjERQHt1jeHHZ1i9ZgaCcYTUQ3JgkNHQqtiJf0YienT7BMJVj3Oo4xnUXnzovYe5ntPw5uI8Ltbk+TO0Hz5C93okBNY14Psk8dUN7N0dkssLErnSBPjDD/CCfKCqef3Xa+hlnx3vIzXjfrfntduX1NF//pqdr8gV7ekU+rv3PJQWW/ijCWyh0Yw9km0H9ydbrmWXADqh74FugHLKzqV4EC5O41GPFNoBSbk9kRFmSyDZ+niPmoGG8kC6or1yNUvRDBL0nIP+/lMcYbQfr7pu8eM1zKhAezRAohT8fA5flkguL4AkQfvhI0zOtE5MhnwN63jQKQV3eQKMezA3i04Sd/AVMlDgfXfQTScx30QXBfDFG6iywn6WY/32Dab/+IjeT0vY3/wBRZ7D/bd/hmQvG/aC7HFUFdR4AN/LOFIyhh4Pg8ETUy63XD2VUQNdZz+bsZNdrtiRrjY87IKJ2UEiqDk95v0V0i1dPavuM0o4Fg/eJOr6o1V12DO8mPOUVTwUOyVRLfbbnSRcD4exATLDAdTDGpObBfxyhTZwDjTfH+V/ThwI90DGAjhI8iCfPahjzOkJfGuhEkoR3XYH7fMn0cIxXjlJYiIo8M/HfMqwePOHBVL4fQVfMyDhlE43kZwWzYrSDF5rKEdPkd25QuKARLY21QJND3AZEWuf8obqluegruik2Q64pgIxMFuKi2auAOWhrCdPzkiRsGWeDtE2D1QcNezODIpQtAaO3gFJ2i2WHJEoDdTcm6kCaA+65jCjlSx5t1hG5mOwZdSjITAaMlI1bL5SwXVpcxmNeoCoe3T0X4HZe6aK5QfzkFAUpvw+I9p/l7IQsIUgBAk3G9ou8ufTrVRZE43R8Qx4eOQHBoRgpYEshT45hmoaarPFOMOMRszz3u1YPW+EVLKm0Uh8SERbH2bgOjhDhTlrURCSvGPXrPN+ZLtHX2pj+F5ERqglnthVVWQyewDKdhuCOTmGKgoiB9E5j6EVqqT/vfIORTgggc5hTouPtaRo6dEI0Ip2m2HeFTgK4JxOif0tqprBKds94WZxNgsjg3hgCkkwkD8BQnpBR6ynU+YHHEBPAAtE0+uR7CTvJRoJgYQe9e59zPLWAJnd4vpH5nzw+5dY336G/alCM2S+u6nIDakmCdpBgNwY6etfX8L/HVUA0AZY/7MpMACgWLJDcbsd/Lyb+UcEJwRqBHvpMCoK6IpSsIsljECvejZFez5FdVJgoBWLj/NTfubNBsn5GZ81o6GWK7jtjjrwqiIJrMjJji9JSlJpCr8ryfYXIieaFmopUrBg2HT3AH1yBFekULtKvOKnLFyXW+B4BndzB13k2H1+jO05CYBJzcS/dqDiem0zYHDtcP+nihyAEqhTbk7ZEiiPFIp7Fu3NUNjNGaW6UHw9bTkCHL1vUc4MsjVg9nRk1MsdCXxVDUxGSPo9uAfa3rrtFsn1HPbtGdR6B/VHX0J9/wHt1TXMdMKEx6oix0Up8ie21ILb5ycwd0u4yQD2+vZJh8+baKA+fw0DwP7T72Ufy3n/phPey/Ua1csRHv7kiPbk1x7+/VXkuPiqwuDHDbwewVQO/nERZ7FmuwcGJNTWz2dIhgXw3XtygEQqyiYk65wjxWlPTydsAsI4wBjoRGS2MjbU/T78wSEOeQ7jLDw0H8G5VXxe9HQSPfW9KH2IhhJqN88u4NcbmIAuCEKo0hT+/gFI885PpN9DMhwwVKeu6VgoI1YdCHxgoxY19Vs2DV6igckts/Ge0LQmpaOdKNBUkTNxdE1L9hC3HdedMd0YKM3i4a+LgmODfdlFvSsNMxI/FSlwwv7sm4boYNDWH44HACA3PIwzhXTD86qadGdSM5QZ/a7LvrEFke4gfU9lTGYqrhWbE+XWNc87U3m0BaJHQDAJSje0H64zFhv7MwXzyy9hf/OHSIj0LX0S3Ip7sB6P4G0Tny2dGRkBJLwxQbYFawkf+87WlodEEdMAAzMyzKeCNTAA4PwEuxNNPX84rK3M+B0/dHmkOU8sOw6ArgAlMxDtAShKHXTLD+wSwFSKhAgtF1KLgsBRT2zEohPeM7KybaHRB7a76Jxlzk4ZbhOIEuJAp3sFIyXBSs9Mxgxa2MrBFJAPmX3pbMLXaFuoHQkkKklgN1uY8RAhEMjv953X9HgEX+es9pMkQuVBshJ4BnC8Sb6qY6ylq5totxs83s3JGc14dnuRNgokkiS8lmt6+Qef6Hjgi7uVt/zsSim6qkkxpMaj4KgshYCJt9cFfwPveGgHtq3ID33bQg0GwHQEfQ9YIe6oXgF/uPhkZh6MhFSSsFpvW24SAXrzHu2Hj4hSRxPgH45G7P0DkqKArsdQHtE8w+z5jNicCypf0I6zOumhCHasYVaYJAgJYyQ1eZi9jF7C7G84gE8SqOGA+QSBO6F15NCEDSh0IHRES+Gdg79/gNls0Putg93vufkGrfL5qagYHJBnjH+1Fts/fwmXU/+bbC2Kqw0wX0HPpgzCGfTgzYhoxn5Pe+Cbe3Yub57T7e/vf8vwE6XgJf4bAKHyTBOirgVFMOzevfbo3XKT2V3SsjTd0YqUc252Jr2HFruLFLYAsg8e21dA8QiYDTcz3XD+r3zQNAPKKwyuLFyqMP5+D5cblCcpBj/tqHTxgLlb0goXgDk5ovmO0fBVhfTX74DphDLBl5cwHxTvUWrg2xK634Mf9WF/950YVvVgrufc2B/X8G9fAg/zLhglQL+fboGLkyhjCwogK5158uYVbt+m2HxdI71JcfL3LdGGdUcW1jePGAKw/bSTpSkFezRGO8mRZgl2lzmazwqc7Cr4TzdUZIS1FVLxxJtf9wqEVNMwng2SZTMeA8bCW9Mhin0SVdV4RN5QeL6FDxBttMdjqMkY9uo6+r3EUZyQD7VwKtC00S4dSsFtwDMiFBpNC3M0BcZD2GEP2nHmrpqmg/N1Dq1UzEmIh/MhEtvv47Ah1f1+Z9Oe9mPDhqZhYROUXSJfD01E3NNlz/YBcBQ7+3CoBydUJ2mJfB/iXKhUl5fgfbRPDvubGQ/R5F2T6wKVQPaeZkTZZzMizE+kgPtQM/JIS65pm5PA7jKgGfN7AtmPEcJcQ0FeGMYIzUDBGyIE6Zaj9NUvZxj8Ts4OSbt1Mq7S41ns+oNE3e12SOJsVhz+4oXbdYdeeLCUmGz4OpAGpbsVJ6fw1Y4LVEd8w/kj37zyvBB1X0HN2Y0JyAVvBFqEwIwGQAbAs6tohhAmOC+OsayagFAZiQwsS6RSq3moBRtKcU+LxLbF8on3foDkot90YPs7/8TpKnR+YcwA7wnXygEY9JdcyGVUH8TUtzBvKzmLI4dizu7ugPgTAjnIbm94cNYNbZSDxr+qAOfRXt3woZWYX9/U0MZA50Ox7TVAIixXo6GKEccRLy7RngyRvn9A+/5DvBZRNz/qQ7UtE+fChrjbPYGWgrYWSoknPxUBdj6nwmG9Rsj6drsdCSm9HszxEezjnFLF81P4NIF7T4tmv9tDnRwRkViuCL0v108Y3mEOp4s8hof4zQaDG4fqiOYuylJpQlYuu8/J9xbD//7veS3Oz2BOj+F++hgRisOkNHiPdNVEZYHKcz4bwlAOnQBAvofPUoELwc0ijEacQ3t1LTPEhhClzBPt/QPjSbMU9vcfadW63UKPR6i/uMTdX/RpcNUA9cTj/G/AzX3Qg7u+5XspCvj5Em65JppgHXzTwCOFXmxIqPviLbDZwWcJ9K4GjIZ9dgz97hMwHkAJ0bO5mGLxeUqP/wdq//Olj86J1UTB9oD+lUdxz3n+/igho7kkhGlKFfPNlSh70h39PBIQ8q9mCvlcYfx9CbOu0IyHqIca+lkP2aKFKVkA6jcvaGSyISpgj8bQH27JPymJZOjTY2A05IEUUvQk0wLOMgisaTvNepKgOR8ja1qokh1w+/4DvLNwOwV998iiNOjiq4pNBdi511Ng+NuM1+Wh5HgMhLyhFQnHuwpJ1cAGUqz38LlBsm2gGovxbxbwvRRuOoBWF4BwcvRoxAZiPo/Rz0pUQBBZrM7zuPfa9Rp6OKQ0cs8EULfbUQmScoQbE/WEDKfSjM+p9/B3913WRZZyTcm4kmiflvAYCX0TxDCa93jfFQrDPtS+gr65j4FAqteLkDyAJ94yYXQQC++2iX8O6Gh0HASEq0Mejd/vI+fA1rWMXDsuURzLHRiUKa348wcRyrrX6zgWce91PCcS2oDb+4dYEACIuSwwBi4hUTkczEGaztchsq0bxMO7HvMc7N3wtdoeG99kz+9x0vymG9oB1yOiCbohj44GetKMSFHTDjt+QXmkMXn1HO0PP8VAP+Ud7GrTpTH2ehwFrB30cEgZYNCEqjyHPjnmDdpsYYPDHcADzxioXGASmXPHi3cAqdXTLBoY2Jwufb1bB6M4D9QN54D5QgIUMn6A4I2sBN5XQWEXCoSah3/bJ9s45C57xQ6gOumh9zAgW14Y60FvasQuNchp9PERdZK9gnKc09NYGKisL450TI0KTNHg5W9OT4HtNmbKA2GWH2YwJlpoBt9+HE35XLz/RJhvmMG3dAR0yzU3j1BsCctUWRpaRFY+0CVgOVlAUpSEIsDJfWk/XUVDo2DQ470H6oZKh3fvkdz24ARGJzkoi4UN7hfRSCUszvAVIHsA9J8/mgEDyhr9btdtMtZFAmI8V8VhUCUp7U7zDKppYU5P4B4pgQNAQpT3lEUGn/IAcQK005U8bFdVsIsl8kULU2axIm+dQj3hc3Py6wb9d0tYOeRj0tn5GZnXwW0RhPTLWYbeh20XsJFlcW4cMs/jmsnJFVDDATAaxIRBojRBqlTzdwl5K6A/breDqol8qNEA9v4ebrdDliQoXr9EZWk3nK7pX+A/3UCdHkO9uATWW44FPjzAvHgGOxtBlzWtdDdboKxIqFttsPuL19idJjCNR/VfH+Ho9yV191XNwtR7bF710AyBUJibGlh8BQw+sDBPNzx49qdKiLfU8isP2JRdThjd1WO53zuFakY+QbLhS2drblbZNkeeaSjrUSwskp2DskRc/LNTXuPWQbUW7uYOxjq0d3dIPnsjUrMtuT7OQ03HUHkG+4kFsb44iweqKnKotmVx1MuR3q7RvvsR5ou3cJM+TFnB3t3FxL1wBczpCSN0dzu0/5s/Rds3eP7vdqinKdJVi+RqjkCldVVFKP/hESZ4P4j7GqyFuV9HkrL94Sc+Z3/2SzQXE2SthRYUxm0pFQ28m2isVUia3aMQF4P3ReBr2a4od9sdVFVDvbiE2uw4bw9BQm0DZfJo6Q0l+453kSTtnYQPGRNdOXW/Dz0asTiRBiU4kDafXcBrheTvv+vGYtNJNBIjykhFUTiMYww48OQM4fuXcWLTxgOc/y5IpuwrquIajAT0QMqVPfgQ7QxFjK8Z0ubXdUR9vZjFBat3X1X0Auj3+TkWS3oyHDQIajxCPU5ge+SkpWvA1J1Vr7aAU4AdIMZo6waARrQPVv4Q2uffJTsia9Ws+3dbKOEPeD6YQjokT0BQA0VUoHpzAiNNDUS9BSAiJagbJHkGpBlNtwL8E21pRVcdfAHiRRTJihK5hAu67QP5FEA1QDU1kdhnNa0Lbc4KJt3wz9VUwSUsDrzo/w9HBfBSEfX4byFfOdkhkv90SyYl91iF8iRF73ceIdhGZZJMOJ9z4w2fJZCnnIffbPlArtdcHDlnbQEaJNuXjm7Bftfe3cGMxwKliM+9jEPCwxwS77ygBC7PoB8WNBsJkiLp0A9hMJWlQMOoV19WUaamjBZPfbJ3g5kQ428VoUHJctBZRv8Ay1kV4X4iGYz07cO3q4gumDSRRUXdf3C6s8JI1r1enCUyrwCcLwvHwC1XXKzByrZt4RsepAopQgBIqOq10dAnRxxJrNbwjbC9k4RyvsRA7Rmk9ISk0zTCa+iKEXtg1KQs0yXrCeABhKGFzYH8rqRf+wHsqIuCMGkqrGixwcaXr6FrB7PYwMr3u00nOYuOfgJbqn4PbkKbY5cZJPf00VAypzWnp/wZ51kkLFcAxKtc9NM4ngHbfYekKYXj/3BNa99xAbOugI/XXHetRXs5Q9pIpzyd0F52vqZj3vEMJgRgaQ1/foRk26KngGRvkS0N0v/yHXyeQ52fAMsNUNdIKgfdaOqXZUYJcB0XC4/51xo29+jdknhkhJzEeFNPp8Ud4FKF4p4qn2YEqJbJaOnOY3vZbVq69lCNA3KD4W8f0R4PsL8okC008nWJdtpH8v0V3G4PfX4KVBISU9Xs8oE401YA/GoDc3YCJAZ+vSWqdkr2v2qZKaDXW7Q3Mr5ZrOC//wnqzUsk/QLu/rGT+zYNvBjhNP/iS7hUo7jewXx6gJZQJ58m5McICz/q5rMUqqyfFr6fbgjLH3Tc+PYnmLYFZlOSO5drjqXaNuq0AfB1s4yjN+9ZOIojp8qz2ECEQ9OcnaL+7BTLNwVswUbL1B7ZqkX+05RulS1he78v43gR3nHckbKgUDIuCnHEXvYfJaol39BCPX3/wD8DESFk4e/h4aVIc/B7qsiie2zwGDn4OYANUDBc40ZppWFjsaqKnOtJd2hBcCrkvp8yQ6J2cVSpTNbZ+eYZVE0fG2VdzLSJPCVjRKJZx2tgD9QaejCAPRqiHun4/CcecIaEPwWeX4DwZvqIvv6m5Pc3Q36PNwek9xrwWqE8YtPipVjIl144AYIEeO5pypFTw9dQaAZAeZJiPBl3/KpeD1qJ10JF0yPvPQ3l/BRJkMmhbUl2MSb+cNxYE9LuVQbe1LqTO8U44ND9ZimjfsXhr3fnJRBEIBQ5vIMncvHAf3Ny6HvZ70n64ybUDOXw30vl05M3JrMSiC+Asp4pebJQVJbF2ViQwOjJiHKoxZpklTDLUpzjerGUtfMFoeFCiHGHroIyPwpyFJUk3UGk1BPvAFUwNES1LpJjIKRJpcU0KCxeCXTQIX+gbkh22e06OUuW8t6Egkt07vy3TLwGqjjLipW21jDHhNbtzZ1YXk7JFN/uANsgJIlFIoxY/h6OQPSgFx3G3GbbcQO8i7kEOjwbQXqZZZx5C8M9GO4o2QyUEtKkS3idw2sL58RVFXRQGXgXu4rDQsCcn0Hf73D6dxa3f9lHdcSquhl59K4Vkqs5i6FffgazKeHnS7neLczlEao3x2h7Bm1Pox5p5CsHv1jxfvSFcJimktFtSa7ZlyxYJkPo1Q7u9h7Y7eDCpiTkoeAKiKYG0ixmmcfOBuCMWymYk2N6jz88Qh/NoHZ7mE83dP0zhhyJyRDpDzcsIGReDOsonTuZobkcw+z6aAcpkmUFc3WPdFch+XAF9flr5LuSpFRjgPUWviyhnp1je0673qRkYW1zoHhgR7M/UmJMQshx8Mlj+QVRuN6NQraUmWaP69UnCr07h81zIiDZkkZg7ZBWpvmcm10zzpDsudeYXYN0lWB/miJd5Ui+/QR7f0/Yu7VAkUPt9lHZkLx5FcdP7Q8/wYxGsBczXsdHQ4najlC6226JBt4/xoMmEGbb73+IMmCd57AVkz9Nrwd9NIauLcdvv/shyk4hznl6NEJyeQG3WjOrIujKpYM8NGShsY2Y04xHcTTU3txSkmqlIxXVgd8xxU+lGUxRQI2GlIPOJjCrDcdTchCHQtlMxnDHY6xeFaiOqNTYXvJ/J5UD5ktB9VrYxwWSZxckFesWUOKyJ4dpaABifKyMnMI+yEPbwT2ST6EnIxilGA0uz3/Y04gK0oQtRIjH1L1wSMv3hOYTQSFxUBwEE6cnYwIZNyjnSIQOBm9iGKR7RadA8hwB0yPBxFFGjDoeD6GWayB8f5JAj1I2TdstRwFFDpsnsAGs3CKa/7iEB3k4w5Kd6P/7/P9Nyn9PN/w7L2i3N4IStB1nSQf1nIwYSIrnvt/2VFdk1IA2Ht4obC8MJrMJMJ9z5DEZ85414fxqGLAmaHgSdOw+EFFEPx9sfnnnNVnhAd4J/vBt290Y+V737BRtoSIB0OZB8uOhFE2BmiGjQqkt5gfhnAPRHawZdBcxRCIC3FiC53JgVioLQJON6SaDaKf5JPN6OJADvmYnVTfxAtn6aUyv3+0pg5OgmrAIlFSFgewVZ+PCDPfWxllTlET2C2xfjpAtaqS9nkCRFi7oYPf7CHtF/3yAsJNS7PwPirHADI4FmigRAHQSQvHTDuz/aFRUFNHrO5DPfFXDLhai5SX85TYgXyDLqAE+kH2q2ZQ/t1x1C7vPdC+3kc+QZVKB0/gohmsE1zqtoYoZ3GQIvd6yC5dnrr1fUXNfsLDCcAAcPHtQiojKfPnks6leAbXaQX26x0V5ht2LAaqxQbVRKB4dmeT7PZI0Rf32DJt/fYF8QSJaOTVo+4TabM6FePQb1UWdBpe5YJJ1chzd3/x+D/vhI7sWS/2znk153R7nUVkDL+OQsmIxJiREFm0NIFnzAWUCQOfKnI5terWDfXMJcz2HWqx5GALw2x0PkF9+CXc6hbl+QPb7LfxkhPx6Dj/scUzww3vOZKuaowEpUu3dA5QxKD87wvYZyX/9a4V0JTwbH+BLFTcul3I00LtlMaAc4hwSvtsAyyPNoB1PeBIaKO4IbxLqtLC5htkx5hduAH/ep1++9XTxWyxpnrTbw7++ZGGrNRUN25K6eudp+XtyRNfLuuUY5uUzWppL2mCwegXQycSk+Ha7Hf34rQWEy2MXCySTEcyuiXPleG+sjR7yrST4hftsJwOoUY8pgXIQukAMBmAXS7Q3d9JENdHaORwufruTIsDFottXddehh1Cs6YTvX6RzgTDnf/0HHH/fB15c8C1pDb3coP3wEfaAuwUviqTREL7II1vcAyQ2p0nU1kN09L4smag4m1LqGszEnCVXJyRWHuyRQAfz20XNccchaRzg/nNAwOMsPov/7re7TsMvrP+wH6gkfbLnhjAjPZuSm1BWLNxDkJvSou1PooQykv3mK3bKswmb3d0uopuhuUqeXWB3WUTtf5z7g89+MMwCiJ4lJdAKiu3F2M5nPNiNuN62fVk7JWBCYxtuk+E4IRQKtlBxdOASwAunN93ydepnU+jvgcBVc7KGIBJ+5x2U70GPhkgiTD0cSJBKGb2TYzYyQOZpMKLJss7vWW5CuPjVWS9uCsnOi4GPR7ZhAEj4UKGLT9eUGbU9cgZ0g0h8Ch1/mC0GnkAYEbR9IJgCeQ0xCtJRwhfcAN1agkAasjfVYADfLAHv6TR1+CCGsUdwyzo0ypAHNdhf+u2Oc6R+n1a4QT5y4P/v8wz5Y4X0xzu04pUQvh84mM1I1e3KCsq6mA/e3tziULdPMh/NKsxoFOWYesjZc1RuiHxGJQm1/rojuemiIPlu85THENjuwXjEBU3t8RF1/VXF3Hbx5U6CXl06FvIlKI8Lh36AzX3TQj87Zzzr3ZzSx7t7uGjFbMSYJOX8f8/goeg+mEumO8DCMyQcgpu5TwzUds9u++ERwx8mGF6coh0XSO5WsOF67/fQjYVXwPyrFM0QUYKjRbECAOnOdc92lsJXXY5Be32DYF2qhPuhcqIvcJ2DGIBoc8rr66LtsV1tkLx+yWJqTfdG9eOcBkUhzrQsGfgzHgFaQ+8b8knKCm40ZjaCrEO12gJFhvbmjlV/VZPsWRr4xMC8esG3cHVL+FzmxvpPvoJqHdYvUrjUo3fD9DHbk6jchBuL10D/hkFA9UTBVAr5wqM8VtEG1dSIsKY3lBHuTxR69x5JSQlmPvcYfuDrbZ5n6N1zI/fDPpR1SLYyWpS0QnNxFklw+HiHEKCFB65Nt93JtW+g5kv+1+vBT4Zojvow+wamaaGUon5dLL5VvwdVVSS3CZ+m/fhJEitN9PjwaQLVWD5HQl5Nnl3SJ15GQT+XFFbnfejaIf0noo9uvZYxTduF68jhAyBa6Nr7R/gNYXId75GLoztEwpzsS94BjnPxOP9OUhYcVQX1/ip6f/hBL44og+Zfj0bwrY2FkZ6MohzRCwk6UJN1ksArzb8L5jihQxdiX/DBoITQxiIgxIDTm0AjyqsB7ldG8R7L3us9Cc1a6/gzatCHBosciKQ6EIDZrNCLxG2F7DnowW/3UMs1FVaSG0D0kk6D4T0ELwWI+yAAuLuHyJ8CECXTejBA/fYM1USjkZGXajn+CjA/gOhka7aUvMZ/E75MaGqV5f4TzjlA+G+1eGZodvuBD6AbT2vglGemKRV0yz/rmtybzcsCk4DCrjZ89kJhJ40qs1hSJG6/hzk5AaYjzqmFjEJdP2FJLYEqJMrYuGACYzMaLpyeopolCH7+Icc4HPqmpk5Y14QtXCZEBo8ohYBH9AzwWn7WEfqwuYKp6YHsE5k/GiCRuYtyXXUb4KYAM4WFbhdLqKhvL9gVyRggBN0E2E0VOQ8ZqTaDExWcFTc8whThEA4uVzFzGoBabZDcPaINrmNhHiNfUfMrD73Sil7eTQu72cbuIORaB8KfCWFHAtn5uu6CjbIUetCDXSxh5zXHBCKNdKsNF9hmyyJOKmqk6RMiXMzkthYqTWGOZmhv7mLBlHz2BtWrI2Qf5rDfvut+rNeDnkkYTcK8AaorFLDckKgVyJapdL8HnZVKks6rILB4EQqcmrBkUEkYQ9ayUnCfbjh7Df78qw20UkiXBdz9Qyzs1GSMxVcDlDMurpDlXU940AWeSv4gml9RhdAHouiKqGB+tOUYxEuBFDY8X1ZPrFr1YMCZrvdQZ8cwWqP9w3csBr9+C1ckSFISA9XRjMXcZgs7n0PtSxItV2t4yZAwxrDjTwzaH9/D3t5DT0fwf/IV8PGW44DjKS2B9yX8aIDmfAxzNIT+cEcL4KMZvPe4/a+OsH5DKD8PUH0humTp7IsHem0AMtq79difsBPJ5x77UxYC+dxjf9ZlAGTLg03NAy5TsIrXHBo0//nQAPeP8MYgXa4om7QOakhGun2Y83AKHhdJQifDMG7bitnRZhs7HXc6hcs0TKngH+bc9GZTFuplBbdaw1ycwS9X5A38//n6017Zkiw7EFtmdmYf7/zmmDIip8rMqq4iiyyi2WITEgQBhKR/oL+g3yWg1RKgllgSBRBNVpPNYlVWVk5RMb0Xb7yzz34mM9OHtc2O36SkCyQyM96N+/y6H9u299prkCLvtjs2zMHMa1TAlinSDwv0Yhbl7hdxODg07oE20J+8gM0V8usDaVkpa7PlangOD4YsWAe7vh9Y8QH+Dsoa0e8HDgAA6tq1jus+PR6z8Q6XsBsQwIgMinuhUqJI0iquF1Wei/viQ9dTLx4UajyKfx4ahhDIE4nQVSUBPKzDZjxCsB33Xc/9f5LQajhwLUKtcZIZIvbngZ9AkyHFgKciJxoorzc4DkI0+rqqYM5OBqWWE9vfNI1mZPb6RpqBQaZt5jM28kkicmyqYlSewUsGDqPKibpsnuVojlQ8Cz5X4klD3otpBjKgsmowuxNysktl4AteN7Vc7vL/kQLK855UDtEaP2lALxzvaSMstsAuV/TXMQo+BTZPNWa/+CHwn39DfkPk8WXkkxgtSE4uYUB1DV3nvCSCHC1Cl57TmjzgAHhBWcuDdGCH6h+fwGb8xdO1J0SR0sGvG1FfHL5sLl2PvAFBKxmKhbZ8szSHUTRHhCCVvJHpyqObDkljUEA7UWiOc1S3I5iERj0mzThJlQVXHU3LLtRRHQAxiAjObuqjZzBGQ90tOX3LV2C9+qaJ6VNRx48B4nLhspKuMkzwgRCmjIGeTmMwQ4TRDy2Wg9seiBCEC9Wt1px0CtGOW8eJ9vgIeHSG7rhCereDul2wS9cyxVgL1UuIyGwCe3sHt/KRvOi9J1EEiJBaMIbyfU81RGh8ws9cb5F/ZzkhhUlAqah+UMZAHx3xIpxMCJVfXxMVGI8AX7II9T3sYhl3epA9t1utubcKcsnFEubiHHDLYaLuOr7GkNeNSli9lLW6xRLmLI1rmuTRBa7/+WNsnyhkBICitbjqAXgy3ZPaI7laMSTGWfTv6duuyjIaGKkij26Nvu/JbRDpll0sqRTQBkrMU9x+yIBQSjEICOAk+t0btH/2A+DHH8P8+lsG9Lx7DzObwvzwB7TuNUZIanRcc7d3nJCEY6HLAq5MYS4XcE/OmOq3q/keVSXUrkb6wQPLDSeBLIU7nuDmz46wP1OwOYliwbJXW6Z30q1Mpv6aVt7JHmjnYn5igPqUE0q6ZiELrOTmiO/p6D0kilnqRMpi2cwVuomCT5mySEJmwj3sektC47iC/3DJFUDfAUasTDc7+FFJ5CdLGe3cNOTNTMfQTYftown2P89xdP5DVH/1NZn50xH03ZIXU01im7fSwF+csqHYMHgJnhNwshSvC/lydTM4aIZmXhzu6o+O6Ij45ho2yM/W68jdiax2a4FOnuNDkyyR1oZGJazrGEYzfuBb4Pb7qJcPCCXAQUSXY9bnQ7Oqsoj8BpUI30ZrypAFlYIFgsKIPyuj7FVrqNkEfrmW8B36YWiZus14RGK12UZjJLvZItjL60Ao7CXXRH42vHiQwMcwoODtEepuIFY+QNaEG2CmdGlVj8+x+aMz9LlGed0h//5uQDcDe19Q1uCVH/hcSBLWVmvZKDhHFc2G642w1lVJCnc259q5H+44ADHYR/XSBNSy/h5zyAgrcdUDSasEseaF0VfCuYEMIY6Ds3IMQMvWdP3zhkRD73jekq2sBFJAi2V6suHd2Z6USAWZChJY7InEsnbRZTMh1NiIy5SJZjROGNGutsOEP50OlqwH0Hm4HO04Ryes/uaYBz5IIwAWV6+EwKCB8oawoO4FMUgI/wcCYdAWK8eJY/eEcALlSIj7RtN4yr4qhc3TFNlyCvPbO6hsBlUV7OS6jju1PJNpu2HohzysyaMLFpampZRinCNJEtjrm2ESVooySQCYz+DXm8GAQ5irACghEd1s0JdHPWqWDcEUcuDDYTYiC4NS0oANXui+7TixCanIdx0hraqEqkp0cxINcXkDu1xDzyZIRHoYrFC9cw8OEQCBBXtgOiWB6I4wdGhMAMS870C+c9stZW6rFXRZwJyfAc7B3txGSWmc3GVyi45/0wmQZ/DLFU2KpIC63S569LvFEvpoDogHfHz2sixGfvpd2JPy3zdn4qhX11CjETRA5rBcvmY2xfrPP8L6YwWXeOhO4LtgGtTwwPWVwsmvVgOqIWsvaE3PhvkMyfNnceVD+2OeG3N6Akget5qM4cscJs/Qv30nVtryWaQJJ3wgNkDZ//hrKiqcZRx0TotUPyth7pIhRyJJ+QwnCdwd0yTDPjb5MIY7mUK9veLnHFQVRQZsd4AueRY2G+DxOVY/mqM+ZhNdfWCRoSsZoX2vCNkr65E2wPapguqIkHgjEKas5/IF9f3BAlhZFr9sxf/dl4AtPcye01KwRA0Qc//0GKZt4W7v0P3iE+RvFexX30H/0ecwF+eU6h4fwd7dkwz59DFwc8fLczqhBE9gWrvaoPvHnxOmHQHv/2mC6fmPMP2+RbqoYaqS5UOc6sIEb5IE/XIFeEdXRqXQzQtmT3y7iJeWno65ngpQvFyYfrmCLTgkhbQ78/gJ/Hb7wGoazg6M9LKASuiw6pyPHv12scShaQuE4BtIxmHSJrHN0cZb2PG+bYHJGPpiCvf6Hf8+4RjFaG4v2R7zWaxJ5mgWvfgfpHmu1lDB3CdJSFgULpMyJPDZzRbm+WP0P3iM5G/+IRKAfe8Bz99XhRoqAwEAeItoIe77ngomraDaJBoBuf2eNsMBAQ2x7dEJsYMuS4xebuBTA9VZYLEaMm7C6lopEnCXa1FPGSINTSsW9z2c2w/EX2uhU4kdtxbm4gyb52PURxrQHEp3zyzMSYO+MchfZygvySNSFjEC2BnIvSdqAMtGoJvwDOmOuRtmT1Qgyt6tDLiyXfKGqIBpedZMzTU7HfYkNTDhamD7KMXpowv07z/w9xJTPKKuTPPVAFUAymgWXSFHAIhSj8Mv1zTcw4SdUVFEK10oBZ9qdCN2J1o0jf2Izn3pjp1RvvBQ3mM/UugLThF9SaJEOwkXv4ebCESSsKMJxMF2xl1/tvRIdtx9dBO+MQCwP1NojnKUYkWpj48InVnLKQ0gVDwewe9qGDF9QJrCn9KCNH/F7tMXGTsmgZg8QGOLkMcu5L8AL4WLOzBTg6Vy7EC9ZCsEmaKQTwLhMiTvkVE7pXeB9/TmBgTec9GtMLk4Q/+DJ9g+ISIwesNgDD0iXIVephNrRYOrebHKZ6jShN87Hg/oz+F6QrTHOAhOISlpJJDgirvsMdPmgvlHhO6D//h4BLskeuKtAyRiN6IGgQkMRPiuf/su/jO6JZLMoiYTqFGQgexg7xdEVPqen2PXwYpEqv34DNn3N4BWqP/x51h+miBdg74RkObSEpqGIol0dOlgLhfUdwelRig6+z0nA1khxV2pF6mT0rFZ9vsaWK7R399HrwAnkCbeX7NxC01MeC/ky17fshhvtjD3W65TvIe5OIcqcvSvXlMm2vdQTx+RJ3EvVrH9GKoouAe+vYOajNHPSqS7mnkYJ1P4R0do5zn6XMy1ZBcZJvlsBZSXQH0O9DW5ALoH0hViOic0L28jbOXmSKG4JkIwMJb5Z6vPgOo90Co2+0lNRKB6z7Xe8ocTlFcdjLUwjx/B7YleJE8fA9cL+MkIer1hY12WtKUWyZ45PYHf7mBvbgcGvndYfZRifwHZnSr4xCO9q6G3NZ3tpNE1J8fRihvBqAa8lFSeYX+eIa0Mqm9LonodHTWRpswVCeqcNMPmf/ML3Pzc4Oj3DlWe87VNR8CohK6bA6t0WQ9K7QmXoTL64KyaAQbveyoa8nwYEryLJjz2fsGpOniQOAt7t4AxJtp4B8thVZbweQodaoP3NJI6DCVSzH0JDoUqTeDF0ts3DVd2SkG1lMHGVde7K6SXGihymGCV7unIqpIkrjMPNfu6qkRiaIep/PAsyVkNwUXeuocrF8lKcTe3cG/fcUrvgzJNasqBagAHEmp4x/fpaDaQvcsi/rk5mnNYExt8ZCmZ/rIyxI/X+K8ev4fzCvdNhZf1BdJNEs2BglmPlks9sPu9Efl6P6zIdctVQQjcShtyAEzDprwfsRmnzFYGF4PBJTeTdfheQvYKwD47A95/EA5GJa6kCRsC4b8ksDbuToODWbg0AkM2fPmmoXwo+FAfyNHgPfZnGVzGCSFEAKveI5NdokvFMKTnGxEIWCEIoZt4ZMsANwIuh+SO869wYR3eseAoh7hrDNGJpgHqY4Pix59Bf/cG/Zu3JO6VBVnPt3dR7uhWm7gvMyfH8BdzqLaDX6wI86ZZ1PkCiOzWQPSjvzWnuTD5xgPU9UzQs5YkNSEGhs5TBbbrYRHJCLWFaSJILB/EdsrPN198hs3nx1g/N/BaYfp9zzhk2a8bYzhlakUpovwsG2RDoRBZSx3+AWs/fLntDmY6jj7/kXksfhBW0gvR98DdPk4O0ewn7uNX8f1TCXkWwWM9QOi+7ym1EaTDvWsGhYlzzHMYVfw8Fxn08ZwNzZxs3eCS5mX3p89OYEuGJvV/8VPc/yBDlI3KoewEbUrXPqJS2drSdlieae76OW3EiUIpmJNzNh+heWw76FFKdv9iybCfi3N23GIwY378OXxqsPl0ivy2g768ioU9/FyVUIrF2GkF+80rcj5+8AncpIJ++Y7Pb57DHM3Rnk+Qvb7lZTMqgd7CSY5A8vwJ0Fukb27hiwyq7dCfjODEwrQvSRoqRbPvMiJt28ds1E0tyN3aoz5VcJmnKZBhzoIJj6TwdnwClDcOu3MNl/DnM+JbsVk3Ci4X05OaO0yfeKw+1sjWXDkhTZC+u+P7UhSMzS0KmkZtt1GaFi3Le043yacfo//uFQAgefokZrMrC0xfeZz+2zfov38DHB/BK9q8HkrnvHXxmQVA57TZY+zONca9H3zgwQss5mnIlzk9xv5EQ/XA8hMN/KufYfxqD59oEhHPToHFMhKSzWTClEyA0uu7eyJp+5oS0802wuBhcrfLFY2KtEFI9fPHMxgA/dUNdDnUKnM8j4E7Zj7n2V6uoTY0T+olZdTM5w8CeCJC0PdQkzGbnrqRBkJUNyKd800DJ4OVkTyQaDV8dkYidYDZHf1ZXPBjCfC90tFtMeSnhMhzlSbDisX5gfNjLRES4Tmoqor8gFBf4SzhBVFShRCvkEvgmgbm9JSfs/B8dFURMQuDiaC3Zj6Dms+w+ek5bv/IoP1sjxeP7vD6+gh/881HwDqBPm6Rzhs0xwbZvaCLnmswW8idJ8iXSwDIGkEpNgbpGlEeH3xvvKy1oSijJeLmI69A9zI87/m9Nmd0sGmIhjcnBQpZbwfEKSi1Qk1Kgi4z7GP5QZnoewxgsDGVC03JbiHINMLlVM80ICYFNuObYBq+cN0CCbi3T7Ye+YLEIWCA+vN7woPdhI1BfeqRrkgStAXQjT1My4CF/J6MSK8B5IrcgwTRJ7l+XKGqz2Fkz2RvbtlBz2dUAez28WFJHj8iSvD3X0UYEUDUj4aDAbkkVc5Y2CDPexCtG0ws2pbd5GozeIKLzDDsD11d05nv4EM6JPkMP3TYEbLYnMKXVBeMvlzDf7jmARcCYAgJUUqxYMrK4YEJTlUhpH35u0XkdUQv/4QBUDGOWPgfSmv04nCoR1X0mHey0466XGBIiAwQnDGw1zdDkW272HCqNIO9ueEzttlEZrE5PaURyW4PNc+ifMstqOPXziH4XqMsYKYTkrSMRrLuYI/HqE9SSZvkhGpaQO+BFDyENqXftqqB0W+vcNBqPdAz66oCKmbFu9WamvHNlsV8sUQvl3n4ste35J30cl4WayitMbkjM9mGIJLQdEsWgfKKK5eTY+g0gT2ZYH9WwRYKI/+YTcRHFcavdkjv97Bv3wM/+yH0d29Iak0SJI8vOMGlCfx2D3c6g97WSBZ73P7pCZQjjBjQOib8sYgo6WOzJff0fcX3LF/Q2Mel3FV2Y0QpVLAsdYbFKZj9uBSo3nnsHtH9M13xXJuayGBf8Z83M43RbAKsNnAXx/DvLqGdZ7MjTZTb7qWR7waXOFHR9N++5PNydITtz5/ApQr5LVDcOcx/u4bfMuOCBjKcHLW4g6rRKBJRAzzq6hr63SW68WM2OAcSwuCAp4yJEcHwHtnao7h3gAe2F4Y8FwVkqwS5VkhARUBU8yScxhTA5nW9iXD3sDqjZM7v5XeXSxVKs4kG4IWvFcK0Qh5ADMQJA4R3cK2FKfLIdj9MCUSaRgdUQJjwgesgF344q6qQeN19HRFJPRLYvMi5ipNaEi5U3w6k3ujFIA2BF9dMlaXU8ksgmyrLKOF22x3DfJo21jQvjUWUsYcVyZ5oqBmPIrE7Zn0ILyGsU91iyXWqNBcwhginrIfVaITmk1Pcf56g+3yPF+d3ePnyHPm7lCh15tHmCdS4g8t5R4UvJZB/IBwDGCR+Av93MhwHwqwteIcVtxxqAy/HJZz8bUaZrgqKGxFbKC/fF9AFDb5fYtQXHRb7fjCTimYxaUr2bbggRqOHVo1B155llK3k4u4kH6g5PSFJzw0kPtMyKzwk/nlFtmI7VdHb37SIfskh+pd/KYkNuuPkn+yBbKWi65hLCVne/7HF5hc1ti8c2ik7or5SWL1IUD+f8YHaS2QoqMH1ovMMTFJ3v+DeVZjlJqgehMSi0iy6VqmypNf6ATtdpdmgJZVUtmgPK+E8uigE6neD45QcBCf+8Ob09EHELYJ0yTIUxxwd8c+dhXr9AeaXX8G9fMOfXxYDmuAs3GbDPIJRxaZH4B9dFAgGHrF22SBp9LFoRN9uT89oMx3TNOXDJaK/eduyaN3dD8REYJBSilVuUFeETO/wu/mWuzZdCqQfLDzbjhPCZAKczqFPjuG2O9gPV5IINsCJShzh3HYLe3lFrof3sF99C/3Xv0N7XKCea3iFSBp1BrFRBYDmhAfm7D+v0ItNa/jS41G07lVVSYJjlkGNRnHPyUNFhEVPxvFZY3JhhhC25QV2tR8u6SZ5PH+goIGzlKmKeyXSBG42gn75HuV//Brluz3UvoXe1EjXFuZqAby74vvx7hq+62kuU+RoPzlH/+Yt+pffo/vJM7gygVpvsfliju1TRcRDLmlbiPS2F6MRz31jX3JFp3ugPvZItkT1zB5xPaeErNuNBFGQFYCpSf7VHZuKduZx8hsLKCDdsFkP64J2SuKl2tVs1N9cQn/xCevSfEaZl+jRfdMI7+QUydMncU1pTk+g/vSn2P/5D9BODMbvLKbf95h830C3PTCfRsIuADauIcXS0vXSNw2DwiQTxP7ic9gMMO1BTkeQ4x5chgClofP/4beY/t01qvc1ugmw+kRj8QONzdMEu2cV6s8vKDMEookNz0YnyJ+wtWUlZk6PCV8fGI/pPKehVpYO8Lh4YQAYjMkEtdNhpZjnMQ9gyA0R906jY1hZ+N2UUszqEAtg34mXh6J5mcpSTuyimNBl8UBFRBRQx1oXbMljngpYi1VAn4Fh4KzKiHKg68QVkG6c/bcvSRAOv6sxDObq5IwmaVzLkbSsotNnIDKrskRyfsr3XBoje3/P4KOSq0x7eRV5br5pcP2LAt0/XePZ2T1efnWB8qWc6cSjH3scP16i3ycwtYrkv92FR7Z+yIMJDramHlCBdDUQ4QMfDhC+gB8k8yERt7h3sOVwzrziefWGQ3HgHiw/TuGenz+oZ+bsjChPzudWBymb3+4I+Z4cR9jbSSHm5ZEND6f8dwyZAOCfnNHIZ8NfFp6/bLYeCHu6F5KRXPrJjk1FP5Z6mUDWBlKcg1xI1AS6ZSOgehId9o8t8uM9qnGD6ef3qP7kFvWFg0vJXN48oabcbbew1zcwpyeE0m5u4e+XYgsZ9lJiNuM81HhM8yDpuNlh8hJ2a5kmAvoRwiTEYEJPxzQl0Rr27Xt42d2GiEplDEmBh7v2nAfKrVaD+kIYq15CK1SRR+dFe7/k5FKV8bAFK9/YQCgGeYS9WXBwdG3H4hG/h3tCNZlIw0Mfgbh/F9c/bx1d7AJMd2DVGbkVoUkU58hweFSRI7k4j7LRwHmIKyR5b+LOXYqk3WyhFutIqAKkoAVNrkBabr0my7koaGMdPBi6FtmiQbFwJNpMPHziYdohh7ud8gJyBrBlGn8HXVW0/FwsWTRDyJT33Lve3g1rsHC4jo4ApaNJkDk5hjo5ktUO1TYAYJ4/hbk4p6xN3g97fS0SqSzKS9H1UO9uuNMfVTD3W+D2Hu7b71H+z9/wOSxy6McX/L1lN4uyQLIZWOHZyxsAwN2/+BiLTxNaI6940XeTUITYVG+fiNrGEl1r54y9LW4Udo8U+opqgerKwqUe9ZmXSYUNvnIe7ZSNhO5IDmQssMLmiWGBEwJgsvVIN1z79TlNqRicZeC+fknZ3nLNiTThHlcfHcF9/hzuhI53ej6D+4ufYftPPkM3zWUSt0g3Drrz6EcJXJXRWjrPREliYW/uOF1+/JzPrDSpVpQ/ZjrG+mNO8OWbDf7wSyWJuPylw8CwWgH3S2xelHApg9DyO/KXlp8Y3P40h/35D2KOBsDLTh8fCTrY8pmZjCXJlDUlKJT0eCzKIWrlaSN+gFcFWH63i/A4tGKdyFI+H9K8u+12MDbSJILHqHLhdj2I2JVcAj0eiyFQEwnjIaI3BnQFD4HFMjbzvu+ZKpqlnOgPXrNKEiIJyxWbmX1NdLLvhtoVTLhOjgfFg7D2o3spICqZg+FVCO5xvaNlhS0Sy6A8CnJCWDukdGoDXRTov3iG+sTjxfE9rtcjFB8SGDGi60vATXp4rwCrkK6JWBOiV6hPgGYuCJk89/T3RzQdC745wNBYAxxknazMw3/ggXZMDlzgEgR5vNd8Tfl9aOKBfiwTdXAdbRo+D9ZxVequb+nq1rZiGTh0msH7PZLcQCKgKsuoveSEQ7OM4NcfoAndyS+YsztxqYp7i27MP8+WUnyLAQnwBuhHDEUAiCYkWx9zA4IxSXJaw/YG3W+mWP3DEZbLCvq8Bv5igfXnPVafAu2zY0SSmbXQx3NO1eLDrsejuMOFMTAXZ7AfLgn3y75Nj0d8CAN5BJQCsauVxijLmBewr2EXy6HDT5IoCaQ+VnOSPygCQUsbVg7h50at8WTM1DOAO3dHxipJUexY0RHyd00Dc3bGRqPtyO8wkuplRNJS11Gf68TpCgCS81MiP+JxDhBWDC5YXiajQNyBNtyZOQd0XZTsqPFouLDDBXe/oPvidhudE/m+kXxoZlNOKUnC6fhoBpUm6C+vBy+HsgC0ioleodBENrXY84YvI4qN8kOD8s7BNIoeEprPW7KTy+1WYfsUuPpHFfBPfo7k4xck0e0luc95hjLJbt7e3vNcFDkvfTkHkNfOX0zxmdnsIrksEq3qhheNdw+eE1WWJBcuVzBHR1QPZCm97fd7qH3D1L+zUzqVHc/pQrevo5RMZRmtbW+WgzIiTdDOMlSXHaC4Xlt9rNlgJyTkeU0ibXlNiL4+VcjWPnJ18iWnmXTNRmD9wmDyit4Bu0cK6dZDW4/NR4wDdolCfTIUw5AtHUiEpiZy0My5MmhmGv7iBPp4HqcTd7+I3u/9928igmbut9CbGj5Psf3jp9g/ypHsLJafZthdpFAO2F4kqI8N9icG/TilnPBkznNaVTDnp7AfLuEvb+C7DubijHt6+VJlid0jjel3Hv633zxY7YRGBBDkaTmgOIt/+Tm2Fxp95bF7zPREs6f6qZ0Cix9W3K2D8LXvSUiMtWC3pyw7S5moKQgiVVpE8PSojHU3kHvjZK2Z+xG+7GrDnyk5CubiXDxDqKiJvidFTu7Nvn6Q7eJ2O9jFgnUhpy9KJLoe5JH47W6QFR8k7CnDCGMd9vRSA1WasTEQZDWcJ5VlHESUjs2+vb+Htw7m9DR+froohvhgSANnragFBoTWW6LUgdegxRsmrEmhzWAItN/DXd9S9pxwZakmE6w/KpH+dIUnoyWab6cor310+0t2Cug0jPZAwjsrmP5oMcaC4v9XMpn3Ff8sDfYnihd50Pzvzz2SGkzVzImkBbJyuvPReVNZiPKGK4NwplQv0sMSaI7TwTNBPk+/Fv7HdIokPozLFYuXYiKTKnJaWQKD9lysI8P+FUAsaq7K0ByHwB8PrxTqU4aCOCNdSu3hc+qIleWUbsPAagdTlsAJcAkinGEzFhPqkvnPk9TCGIc6LZHsFNzbAjbzKL7Y4Wc/+wp3TYVv0xf4bPNj4B9eov9wSTi8LAZtu9hO6rLgm9OQwBbhuDR54JZn5jOo8Rju7TvxU5bff0+tcPSgDg9V3/NyynM58B1ilOZoxO8L3WmWwpzJbk38qn3fQzkP9+4DL/f5nHKaUuyYw4ENz5KQOc3JEUlE4XOSBkTlObSYl3iliFYozaIrh8L3Hf+ejulhWjwKfNvCHM3izk8ZE+VQ/EuEU7Dbw8xnnM6DRaf4bqskoSog+KaL9Cns3oIxkZqMoeKEwctxyAanLbNSCmpOBUAgTB1+qaJAX6XYn6doQha9GwxuXArszxX6Ec2lbA68++djmP0YPqHzXVJ7VO/2cHUPtW+RTCecoiQGVk3HcDd3bMQMLX7dds8Jpm0BIVYGFnL/9l1cEfi+R/L0CWHvAOfuhEzZ9zGhUlUVcDyHX4jRS1XAHo9gvnnPS2C15v77J1/A/cO3/Dnid6FS+tCX7zawVYbiJuPvXPEsNccefqPQjwc4sbjh6m1/xvO7e6yQrlmIMKJngLIqFjY4YHfBfyfZSuypFKxurFB98EQW9oNBSjcCxm9lglJAtvFonoxRfNtAacra0HZwqxXM+RkMQJLodASstugfH+Huj8bkKJRAdaXhNV9HfZJKeiGHDpfkqIoj9CON4maErCoGJYpo5c3FOZQePF3752eYvrSY/NV3sCIHU8EIyjmo6mBV5z3MT77Ay//9KWzhMX7jMftaMhE0YEsWaWWBrhKv/eA9H/ay4ZzWDbSgf2EKB8BmXnwmTFlCT0dRGqrPTog29j3M0VG0sOa6wsV9up5N4e4WQq5rObWGs6LUEE4lZxTCmVCZvNamoa9F8DPJc8rqtjuiCPv9cF6LShRNLVVE8pr0eBwVRQAAq4bVn6wllFaRc6UBuNrC9x1RssPBIacdNrkPggRIsFj8aCRbJaxzzYRDWiAZ2tWGqNB0DNwv4dYbntUQ+fviHLe/UPivn7zC7xfn0BZRCUC3W6CfthhlLW53Jq4YbemheoXiFoDnxeyDHHDE/X1+J2de5LQu5fcR5eb5UQL7u1x2/Z4om00V0rWPJHooRP5JN1JR3rx5bDD+4Sfwv/p9JDr6pomGagkktlRlGf36s4yFvG4GR6mO0DKtI/sHu//4pXVMKHKyi0jFlACQMJADqMOJGQgveTVEJMqFn+xUDFOoj/lmBMhFN2wQ9usc1bTGkMesYGqF25dHaHuD/+OP/g3+p395h3/b/TE++e8+Bn71ZbxsTVGIQiB5wOh19/dRf6qMwPzBLQ/cW0HcoQLkak6O6V7nfDTeAQaY3GcZJ3tZKVhxBFPiLuXEllIFdy7viUo0G4TwCm8tD5zA6G5Je1E1ndDpLZA0mwaoKna+4nxIJuwAcUEKULC6VFkGbDaAsPz9dhtTtXx34IyY0KI3kJ+8tbDrNV3qnB9If8bw55Yl1GGHLxyLB7BlngNdG+U/TiR29u0HojWSSR5+Dy27d7QsAlFfLRCXEUvr4DiWrltsnmZojlSMj3YpkC0Ib7czh3Sl2XwawPQDirV+oWEaYHsxYrPUeE6yHpi8uUD15RXfy6ePgNt7OtYJvKmy7IF3PBPKRBWx2cYmsX/3nhDqx0/p4RAIo1nGeODra1rWNg1wfoIkS7H82Sm8Bma3E/ibG3jxUFB1G99zuhG2tITe7IBkApebYQfZ8PcYv2Rkcn3uMPtSkdw34llsJ/z/2YrvCdU2zADwmu+X1yD5tgeqS4/dBdcEo7c0CzJynssbFj2zB+xMglEqRA+GdOtQHyVITydQf/slzOMLTpMXM+DVFbk3kwr751M0syOsn2vYEnApp+vNc9aMIEH0inXFJfy7baGR3/fYn2fQzQiJc2IlS229Wyxj865++AnuPx9h9tU2rgQCIx51zef7emDomxfP8PZfnsLlHie/8egqRc+Efqh/RnieXInSNtetVpTmpYSw3U4MdY7nsO+5RgrR2tBaLIFL1o8D2Z7fDa6DyFKp4T6GBNHMh8OOnk2iM1xAMd12SzLrbBqDw9RoRP1/nvN8y+AXmvGoGGoaBEWCCaqBrpcsjAUv8/EIdtkN67XJhM2UKJb4SzgAZgg2ShJyCLSKJLbk4xfY/fCcQVOv1nBffUd7dxlifN9BZVVEZAAcpP+18f2J+QaglBpFDp8Y4PwEpiyjxwf6HtuPx/jBn7/CcbbFh9+fo1gqtHOenWTHZnc22aFzGmanYTO6ZnY9Y7DbmZL1N6I/hunYgIc7L9kfxAUD0J2KZD/y6igJdCkVOT7I/UaSytkI2l6oqAZQlqqb+hTopwXLVtPAHpDQVZohUUczYLeHvV+waB2G32jFLtF7RtH2PUKgyx/Gqm6flnRH2iC68/UlfYr7EUkK+dIDGCRHVnTIyVYOrYaEHfBNSbaii9wM0KHNhn1KcpVBzWr0Jx2SO3qZ6w5IVhqrdxP8X49/gX9x8g/4N5/9CPsnI1SvpjwYO05oejIhdD2b8lA2zOMOkj4tDGTtXPRFMEdHAyHwgM2uqwp2sz2wFJYHXgwrove30vyPMVy59D273O0WkHx7NRlHMhuAaLbh6hpmJLkDnUgaj2ZCxPHxc4NWTFErS+4TL6/gnYc5mTEUR9CAEESiT4/5GV/fDsiCRO8GCU+MHVZyoA+6eLdcSfZ6OqhEkuShthjcdwafA2y3Q1ef5zCPL2inK9afobj6roNd1w8KodLiO961jNoV9QArrRHFwAy7L87QjwyyrQPea9RH7KR1z4PbVx7ZvUCsCnE/3Y2ku6+H7tynQDvjIdQ9cF+muP3p07jnPvpdBfPuljDjH7w/SjIDVNvRsyDPKWcCJ3VkKdS+Qb9eD6z33U5knCRD2dUKyekx9j9+jGbKadfnWWSsqyyjnnuzQfLkMREk7wmJNg3gRmhnCUaXPXaPU3jDy7gf8QKf/YMSLw4WFStnefFDoHqHyECGB5ojH1MAQ0MU1n5QgK08uommXnoCKKei5LeXIYA70CE1dP3CiL1piZH9Ar1RMOsGetdi+yfPmXR2YdAcB3904QTtaDjWnPCz6iY0VPGJR6sUyiuReAJIlw29AL5/D/fpU5hPX8C9fhe9PtRohOYXL3D1pzmqDx5J8IMAqIOPzXNClAdEcZoXx6jPPPJbhWzVY/M0RXA4CkQvnxARUN6Lpz9JsFYm8rA+s6sVY6wDkc07qNmcsK2cCXNcPkC8wmoOzlJ+enQ0eLWUZST7QaJ/QzphMAjSVUVvBVF++bZjYxrsituW68bxiJwEyfoIqJ4uC6jZlNJlIR8GRZMqqsFPJqwqy5J1b1RSGSDJqUMzwLja7ukxdGuRvClgb27Rf/8WVdfTc2S9hRMPFbfdx8bBt1003QIQE0WDZNQeqB704wu+x72FWqyJgIyoBkjyHH4+wdU/0viz6RUWXQWzp7ItPBN9BbRHFs+rPXqnYSuHdGngkmDYI4z8JlzSVCGlGxL/lBuIgcke8ZkhEZDTfTdS8ImKKwIniqXAsUt2JNu7RKSBDvCGvDvdA9YA648LHP1NNXBDAqc1TZBgtyerPeypQ9EyGt6rIXnOWSCVKfkgFdDVhKCdYTFQDvCJguoZWqAcOyLlWFhDMILNQYbkmt7jplEP7IAjy9gNxSW8mSFaMdkptE2C6ekWq3aCZGW4kwGge4O//fJjHP1sj//VF7/DX/6LP8Hnbx9Bff8BAHdjZjalK91uP5hlCN9BVRUn0/Wa8Jvo6E04PACnerFVxHhEJ73dbsgoF9lfaBb0yTF/jhgCeYETY6BLStgvwPaB0avSBG7B77H3S7JzJe/db3cP3cj6gUHve+bF88XaGPR0mIrmrYN9/VZIL8E4Q8M7A1i+TpIGZS9b1xGKDPv9QBbSx3N6Saw2ETUKsb1xh5pnQFVAH6ZLlgUh9TSJOnooJWZAanAgrGv6PZyewD06gdqTO2G6lnIix4Kpz07QPpnDNA7l9/xZ3ckI4zcaZt/DZxqXf1bCNQrpjuiUskC+dki2Ft3YwGYK9Qmd5NqZ5HyL650VOE+3vMhWnyrsTycw7QTFrcP4TYP09wkwnzBvXAi2Yd+pqwp49hi4vmPRaVt4rZF88hE/E5GsIU1gjuecPp2Dv7tHkSYo3iqoXc195cH+Up8cQ/d9fN+SZ0+jnt4WGZKtRX2aorzyWH/CfX557eP0YXNg/alD+UEj2XF6UZZNU7oRLo/meZx8J7JbgRrD5JGtwPQ58SnvRx5upx54oZta1gPSaLkEaCYeHsD+QqN8OgEVCiNAAfUJi6ZpPM//6AAmdSyAxY3C/gwoPyhkKx+btfqE9Wb+tSNP6e0V/L6mgqJpxYtDwe12aP/rn+DDn2eYfeNw9N///RD9C0Q3OFqnNw+Gn+VT+p/oDtidJ+grvl9DhvvQPNlMxQmcDVpF1nlwFB3R3dOvVjzHZ6dCBlQxhfWQjwCB7s3xHLAuqhoCUc7tdryoO75+fXTEiz/wDoIaR9a+0awKEBfCjnIx4QTBC3KiDfTPvoArU+jXN4zt3mwjNyz8+6oqYWVdFnhP0S9ADYNLeC3hfXE3d0hGJdR2T0RUacC1tOUuC5Igg/Jpc0DS1IqmQuHLeahRFZMzXdsN+/Aboofu0ItDbMnV8ydYfzGHe7HH2DT419/+GOlKRfJwtublff6DW/x8/hb/r9c/RLLSvNtKPttee6QbheKOSHfID2CIj/Dg5C50CZG2gFAWCyJJlJFSOWdzqVWeCAB9A4gwmNqzaWjZGdQnKroM9qUCfvAC+NXvcfjlmwaJb4TB/gdfLuiegylEkkQiBbThpSAXhh6NUB9xKkm3PoYhuEwKZi56/1aCRqpQTD3aCXcawLA3DOY+9D4OxQWwuUfWshiHjqjbZDiebbGZdNB3wgQ1gNkrZFcJfnn9BP+HT/8j/t3nn2Dx0xmOr+5JLgKLZtjPmuMjuJB/HVznxO2Nbwi1v9xTyy67GOB7iJQvyGIIi2WDB7PYnEZ3Ktlh24MiA60iszdIc8LDbabTSBjzPadwVRS0sWwaYZqTKKfyDN47XsbbbdybuX0NPR0jmU1pFlM30KMSIY87ZBEEdQDfI9rdMuo4icoJv98/hLiBqFqIuQhCjoshOjmhNl+kcT/9h+uSSDgV9EQlaTQICQ+tvbmFOj/ie/3h9mGio/Pw6y2Sv73mWipEIYPDaoAwn94/pUPe776PO8GQr5Dd30MlCY5fPMPu81NsnqZo5grNEQ9usMINDpbZkpdbfczo62ZWwHz+A2Rrh3xpUX51/YA349sW/rvXDyS3AIAdDWaCValJEyGn7oEZiY/2q+9Ilro4G0xfplO4pkH/9h2Dn8L713X8zJWGrgrkzmH1yZzqnCUvxvLWYn9sUN5ZXP5ZAjzZw91W6EtOHfmCZ60+YTFLdoQo+4pnMqk5zTRHQH0KlB88mdAaGL2l/r85op+HS4Hq/ZA3YGSFYDoiDuWtTPcjoJ1xolZCItyfccWXrclybuYKSID8euAVFLcsqt1EIb+XvWsCdCVRAJ/o6Dfff//mweWTPHuK7cRg9o3D8V9+M5xLbbjiu2egkDk5JoO6rmHOztD95BlXRTugvHPRXbEvABRcAQSyV6eZrwAhmDFnQ/bzwQZ7X0OfncQLyV7fxIHDPHkEn6Xwd8soaXSbTWz0I2u/LDiMhMk4uBv2PbXvwrUJz0n498xsCq10nJJhNJQXH//RiIOD99GMR9+toY2OZHA9mTzc7wNCbF3DW7AWKsV16YG0HOBagAMEUQy33cJc3sADD22Upc4gS9mQFQXjfmXFEZUwgoj4/Z7W4XUNfXoCtd/D3pFUqAsda4euKiDPIylaeY/9qcZnFzfovEG9yTAS5AqKToDdyGOqPO66EVZXY+QdL+xArQh6/GztsT/R8Q4r7ng3hjVazMjQw3/qIwVnyO4PDoKc+hXM1keEsh/JWao59felRjtRksTLc+oMUD+ZoPhu8gCVNUdHSIJPvp5MYhoT9d8+vpkx0/ngMnTNkNesT4+F5Mc9RCAGuUwx2agnq9ErHshgXNCNaXYQmIuJFZg/527EBxJgwkOUrlWUB2brIBX0MNpBaRYm3Q767mypcHc1BT4F/vTRG/yn50eYPTqBrpsYLalHYjKxOTBJmM+gU2r69YgQlpK9sttS+kMr4T2ZqrK/U0YP+7HdDn7dQu338M5HmC/GCgsRMTRTrpZGIrgsdp7E6bBGkKQ/L3JDt93DC5EuGBrpsoBdbaCDbj1LoVHFhDG328HeLym1y3M6oB2Qetx+D0jDYE7IclZtF3MBaLtZxDyBeLFL5+7u7gfDlANPAJUkQF2TLwBAPT6HOprDFAXfz6KIhiC2CeoKJsKh6yLJ0ZyeQE0ntH4N3WyYGuT10Phm+8C45XBd5a2F32ygvvwOiVJwIchHG6BrATGfUeMx+u9eIfv2JU6LAv0/+jGu/6REJ5LVvgRd7YxwCla8LAHmYGQrIKkV4227/kGTHTy5k+fP0L9+EyOAfdfFjABdVfTmKEvG1O72LKCSk+BNcP/gBKurCrZpYNdr6uOrAu7dZeSgKAD1oxFGHyx0y/hfaMA0DtWVR1JbZMsEzT7B/ocN8pc5VE+4n7wBkvz6CnG33UyoAw+onde05mbiGeDOeV7ze4VmLlPPREWr1FD0ILtPm/N7TA+UNSf5vlJop3RK072sELyKe9NuQjKU7vm+h0z1doZI7lRWoZ0A/SSH/5v3Dwogib8NuuendA38dh+VHOH5tiJDDSmfvu1gTo6x+7OPcf3H3Hfm91yf1CfDWpMFH+jnAuu2UvSPxtC76WBKNJ+xqdhuOVg1rViGm+jHr6uK5MPNDjA6muVEL4C+Z2bC5ZXsr31EA6OjJjBkEBycieD7r5SCNzquBOKaQRsYkT2GeqTLMq6pXNNERVUw6gJIzlP7PZ8RncQzEKXkwYlUGiEnzXq0zj5I2IxcrZR+HDRNEiKnrAODx4lK6RNihcjHwKyUZm9dR8fFvifBMafywLctVFXx37u+hmpaLL4A/ndnX+PfXP4Q5Te55Fv4IbnvvMHT8RK/un6M8vs02toDIse7ozqmmdJACxAvGxluA+ct3RCxaqZcXyU10YJ0RcSokecnE2pDMxd+3J7y3b4aGmWb8b6EH9w3faLQlwPBFUB0p9UQyY0PMY6OOtDg0a7HY8pO0uQB9KTLMn449nTK2FDDnX03Vkj39OqHG6BTf2gPKgS/Q3lgK8OL7viLdGPu9ANhKUiYwm4WCkjuUqzrHBcnS7Qzh27q0c18jBZWW4Mvd4/wi8lr7J5a7J+OOCFbJ5HBGdP0gLgTt1c3Ufng9zUPqDExoc4Fmcp0MgR0jJhSFmNElY4e9pTuedj1mtkJTcPDLwfCCYcgMlzDiiE8/KJTDbp5XVIKFB5+frOFKnLqiMWON6wivLXDYZJCxmbgnkVFCIJmNiUEabRY6h6kghnhLiQJ8+nl9QW5TDQeEh0395deIEhFo6jPPoY6ngN3S9h3H9B/uIRbr9FfXkGPR9CjES/fRAxahIdgzs7g/ps/wfW/+gLNR8dQZcGfd3GO5NHFYKwU9MxStKIsUQxNwnNrJhIeE7TO+1r2oXuyhY2hFFTRgMbVNfS/+yUe/Y9LjF/7+KwnG176xS2QLQilww/7vnbCw+c3G5hgDsQKSPQiMbLiyYCzE35eeQ7fd3zf0pRolfdcAYQmdbdnyIt82dUGdrlC8vQJkmdPgcQAqw0ROqXgf/CCqIv1yFYdTOtQ3ViYBrCZhu4cunGC8sbD3KXQtymUyHG9MP1NjehnDiHa6UbBZh7NkUh2vYpQeEDwIqmwRrT1rj54mBpoThz3mDWn+xDOFJwI9+fcd4YoYWVl6hENdXEnaOOIxmLKct2oLcR4hbGp+f3gR6LzQYoWLJ6TRxdYf1IiXfdIvnrD5lgKpDk5JrwOXrJuseRapSyx+jhBP/YPHEjDpNZOER0SA2cJGtg+1lh/MYuyzeT5E0kepCxLvXhKnosxcu4FjdMKbj5G9+KMawClxKukjJI4ZCnMows+YuLDHw2CJMPDzKaxhsQmXdaa9vZeiHk9pbby51qSDIM1dlx11k1EQEmo9IN/vygZ7M0tIAiv9x5OLm4znQ5ujuFYBNQxeFoA0Y8jGq/ldBlEmnDgylLKfbVhTdcSXy9kyCh7c3KGrBOjJZK3tazXAHAAkJrmZiPYicXvN4/w5vqIbpUnYfJWsIXH0fEGvTNYLEb05N/6aILnNQeE5ljBFny2sxWbQN1RJdAceyGy8v7LFvy+gHoHY598gch7CbkdyrFJaOfk2QGATZXI5ElW9oayQZsD+xMN/6OPeScpFT0sEr8TYojI/IIKICABh6TAw+jLwwnLlrREBAiPAsD+VKO4dQgax6R2aKdysYnUgT8Y0JJudOiVrCwLTPA6diliA9AX4d8Dko3C+mqM4mmP5OkO9rsRihsFmwpysNT45e1T/NHoDSYvVminM0BCbnzTMGayyKB/8DHU7YJT/agcLiDPNCw9qmKIDKyFWzFtSs2m7Jytg9vdwEuKlV0seBnJfjFcSOGSCvre0ISESfwPv+IaRqDCUIhC144gxwEYHBJIPkD83yqndae9XyIwQJRA/WEnpoJzoRI5jxhlxMMp7Hb74TIyhXWeR8QDUgRUlpLMeHJMlOR+SQOhvod7+Tq+3pDsFuV/jg0DTYG6uKtUAOAssi/f4ew3PWAdA3aCrGl/wIB2jtaXzkO1nKKCh3ry5BGZyQIn6skkQpB6Ohmin70fSJ2rFZTJ4QHKIu/XmLzO0U4LtDNK4bIrHrDdExWtb20GZD0hYa8U8Pgc2PCBD5+bPj2RYBKR+43L6PJofvw5o3Cvbh6scMLrJs+kjeiREiMnGM2J7PqOn8+Uds3+9Qfg7BjFX3+N/qefoD1KoXuPZO9Qvt9i/3iE4nKPdjzi73SvUZ86FDcak5fco3djYPReoHRpCpIdUbntM5r9lNdC+hO2fww96Qjpz76mTK+dMo45v9FECxKB6keI1sQBJQwEPoCXarbihepSkTtZ7lxNQ1VBamTdWAP5LX9+OwVm3zmkf/1VXFuGECCVJGh+/JQrhPebOPV6OVshyCZ8RTvVR0eMfZWmJUDD3pB4FdQIyof6JyuTHTD97X1UF7i7BV0Jk4TEzVdvZNVKErCKpl0KalvDT4shOyPP+ZkbQ56I7NQPLcXDVyTNXpzHxEo+UIbnZlSJbS9/rveeOQFilKPSBCaZwnsf8xjcvoYZj+DCvRFeK3hRByM5ysfB3zmQFSVxD86Jr4yGW67j7xpCj5zwE8LZQSBYCzIYViEBRQXAECxZoShxQOTwI3Lv0ITMpvBNTaKgmJ0ppWg2ZQxG51scZ1v0+wTFDgD4vPVjD3/R4Ol0hW2fAdc5jXnUoJYJtr7dRC594as0px7FtUKyoTeOaRBj75tjUccINyBYCLuMTYW2RNNtqWAV+Ts255mqPnikO4dmxhwOs2cj3MxVRAW6SYZcwtaISqfQ0Cra16qyHHb+aRK7BQDRchXO0gNeUqAAoB+nQ/pX52Fqdt59odCNaTLSVRp9yTcmv5c3KoH8ufxoqXPJHpIJwNVBUAAEraSRLjsUoWSRYN+mOJttYB+1tHoVeVK2VHh3NcfSVvjo6B6rjzV8yd9FnxwD0zGJJi/fSJRsRTe2YHYU5HA77rwD4zrARn635458u40dLB/W9AGZRok0zq3X8WJ2IsEkA5bvuTmaRTvYwAfwQX1RllFP7oL8Rl5jSGX0Et4R9cObDbv6EOKhyKQPDoeHnuC+7YDHZ3B//AW6P/0c+uIs2hwj7KYlMCryBYJRieO0YRdLOujd3aN//Y7fu9sNblziVNd/uByMpIyJaIe9vRO/dGk+rIW9vUN/eSWQqYrTmd8z+jeSJScTfp6JgXn+VIyZ9jHmGNZGQxOVpVQupBn6qxsiNmVJREEMlQA2B7QnFkmVFweuUoitFSRCl41pc+SRrYCjf6gx+c0NzL/9W9jffcXAmsePiDgdzeGlyTRnZ2y8f/cNG7WyhLpbAneLqGf2fQd9fsrPfb2G/ujZcBZPjuE+fwFfFSz+q7UQMo8obzqZQ40quHEBOI/02w+wuUI3MjCdR/2oQrK3MNsWIcFMOdr1ugTYvCCMX16J+Ynx6EcycZQk5pXXCi4lMzlA80GfnOzFayAZkD+X0f2zOeVnrPshDCVON8csqIFI55WsHU549pOdQOyCKLYCsbqUn4PLWWdIFgbK93zvwuBir6+BNEH7Fz/F4tMco/cd/HeveXYleyB85v+F5BlAN82jh0myl5WlsLI5DfLy7yr+GblPHvm9h389rCHcek3EUZDG4BQazXKsjRHZ/t0lkvs9L6y2PUjoTDnlSj0JX8EwJ/xO/L1vozNleIbI+1E0QgrGOEHpZAxlgotlrIWhZgR3QO88DcP2Nf8+78UvwXLdmGWAokcGA4CGps61gqhKJHB4XW5fR1+QiDSKsshth+HTrdd0cRV/EB2SMA+5VUaLvbCOKagAKBc0BjieRyTAt+RM2HGGtjX4+/snyCdNdOfzBujmFs/P71ElLb7+5hGqDxrphkNAsNcO6hpb+Pj8NnMOrEHtBk9ZX7JlTWFEsGj7Nb0xvBncAOHkbmwC4kR+XbrjfzczLbb7inHBjUd15QRxUOim5sE9bu8XSPxuT5OV5YrFOfi4B4//+Rz2/j4mw9nV5gFXQOU5+lKTtZ8OhIR+BKQ7shW7SqEb8UPP1rQD7iYe+T2IEAhxJmQfhx1+ecXiYwsQktSIcYpBnmUaIF0q7Hc5Pju+xXqeYzfPkC1VVA6ouwx/efljzLI99k8s9h/NUW32vJjuSO7h5EmYVWWpdJsaOMzyDo6CculGWGm9Hsx4jKGD10HnGVYIqBt4cVeMblo+gXKOTUbTcIITXb+ZTAjfbwnfB07AA6Oh4NkPxG7b911MG1TilhV29VEDKvI+t92TZS9hG+byBkadYfekxPKTxzj5+zHUr7/mSiRNuGsbjwn/bbfcW1YVJ4FA4kszpoOJ6iCiSOJprgAkF+fc/8s6Ir5PO0SrTi9ujMGa1JzT2S58Hq5uYCRQBc5CVQXT/y6vOUmfnRGhSVOoGSd+9+6SqMxqQ66HOCz2L1/D1WKTqVWELZEkMGcncC8usPyoQj3XgOd0aXPmC+iOxLS+UEg+AKd/t4L68hU5D9MpUBawV9cP+BH++oaksqIYUt+kMcW97Da3u2EP/fot9GzKyfRuEREc3zTQX7+hC+GKjp7mJ1+gvhij+O4GeHcF9/QCelMDzx8Duxqz//Aa9Y8eozlK4LVCcVUDvcXsyzW6coq7X1joTiG7E6Y/EPeMuuWZDWd190jBdGy0TeOxe0T5U5QFejYNxbVGN+HFPnpNQmX5XotFM4Q34Cl5Kjw1/QbYvPCo3gtpSvF7oFQMIapPPRSA7F7FXIJsFZxDmWpY3Dnol3fqjusAAQAASURBVO/xX+Br5ydYv8iib8ChhfT/v6/+v/1T3P0oj4lsAZ2EInzrEkRDs9AQhaZKOQc9JRkrmGXFHTYANRkzBrzruY6KWRNC1HvznlI1cQKE83x+lIZ2g722OTqKcj1GbLtoruM2WwRfDrfbRQmyzvN4joOBl5IhMHyvNiau4OzdAtCa0dX7OqJVgzy6lcGlgG9XCG6sJB1LsJoxtPwNJODRiP7+q9WAvCj9X8QTq8mEDY+zfA1CzrT397HpCYE39m4ha1hBG5SGOTshX6JuoMMwA0S+hUs1nAUWuxJtnSIdeeT3Ct0IqM62OC62+I+/+xSzv2fQWDtV0EFEp+RzL2iBneyG55vP7UBS7aYqet8oR2ltXw6eN4dcmTAAa+vhMsXmQJRx+dJFAyDTeMCpqNoJzen+yGByIBdXxkDr+WyIuxV2Z4if9B2TnMzZGS9/iWBUWRYvEl1VNBCyAmckPPj5HS96mysU99y/5Us2A+0EGL1VMUvctD6GCAH8Rfux2AiLbCjdITYZoRtTlg2G7gHzssBdXeF8skF/1McmAiDU+O23F/jm7hQ+d+jGGu72Lnr6u5oPb9zpW8sLo+9hptM4NQIYQi9CqpS14tA3I5FLSH5epuQg3eG/rGDOzpA8fcIHNnS74QIcj2DX68iQ9YHFL59HYKiGzp5OejYGN5nxaNij9X0MwDiEMFVZssHJslh4gq94jP59/R7jr5eYf7WHuWEsMY0/Gl5o1pJYI3pmAGQeP77gwTxAldx6TQvS0xOYR8wD4J6xg8ozTjGSsxCgxYCI6Cn9GUKYBywZwsFGVJcH7y14YeL9dZQsKaOB4xmQGLgPV3CX17HYqCyFvbmB/f4NfJowHMTR7MSKAkQXBXyZY/3PPsGbfznB+hnlgWG/bUtOveM3Fse/2eH8b3Y4/eUK5v1dDCexqxXQMHs7rHPcdgvz9DH3rMEgCYB7+QZuWhLZkHTDQ1TO3t1LI0bjGD0ewd7c8j3suPIw8zm6oxL5334L9/4S/vkF8O338K/eQq22RArShK/7mw0mXy5gcwO13UPXPcO7Ug971HMXr9iAe3mEbMnJHGEnvx8m+3Y6mC1tnxEFrE89soUmk/+CJKdQ7EL+uRLiHsAakC0U+tKLVbiK6KLyQLpiw9XO+RmUV4qrwooIQbJDZFIXtw75wmP0rokoUfjSoxHspIDNgfpMoZ0/5DiZ6fRhMFf456cnuPn5MP1DDTKuZANAE+Xka/RxSFGOBErTIXJz7GIp/vlFNOQJA5kNl3RZsP7OZ1y9buR7qlLWjrvIcwlrS0AmY+fFnyMZiHYiSTZHR5TRxcPj43ok5I+YszM+x7KiDChmCI7TWcp619Eczsxn0MfzgbgnxmN+u4ux2oeKHpVJqmCSRhMmt695+YtzaogNVmny0Ip9tYIZj8iDGFXwj86As2Mkjx9Bz2dIPnrOOi0DV7j8g2pCVSWS588YvTwfw5d5dDu0H67gEwW3yFBkHbxVMYium3hYq/G3X32E6tsM6YbS1EPov51y6g/3Gy15iZQlOxICg5Vv4LMEdVEf1mA9uQFekVCabnmHBrTRCZE25OnYXMElTMW1qUK28ZITwLMaGtXmx0+J8og0O4FkJdO6tIsPQch99tbCidFKYMEGJmiExrzs9QV1aad0EFO9SBMK6UogE7kbfmmAcNnukew7Er5hznhkG+l+DQDR0Q6MY+5KmhOF0VuPbAnc/bjCnz95havzMdb1FOV7wzXBHti7AXaymYrJdFp8tH3fAXkG/eIpVE/NfMhOjnGzwBAPHOxx+54WlGKQES1+pfN22y1U6N6Pjmi5qzhhhgs37vAtrSqtaIBjA6H5s1XKvAEAEsepYe/b2Hn7vhctvI+vVZcFJ91AdNzt+HdKoiN3Yx6ua2j9ay2ctTC3K2TXC5LQnIWH4SUJwN3cco2RpICXeNLlikWpkOZw8hhJ10efArfdUacsRh2ReRuUDT744Y8G+C48X6Jrtrd3DP2Zz+DuFyxmbUdY0ZFg5JuGzUae0w53V1PvnWURdYmpcJ7ph+7l6yGZcDZl4UgSNL/4GJsnGTbPFZoTB90oJFuFfuzRnXXQ6wTFLVB9aKF6h+T9PfXQBzta/ckL4PqWzXXXQ5clG7n7JVRVkljqAi9DM6wtmKiMRmwaj4+IeijNAnsQhhLlYkEKaTTSqzXcp0+gV3u4337N4KHbOyJabz/AbvfIy5yF+36JbFUxVleRUJSsDfy0QzemAiBbcYpZf8RLefLK4/4nZDnbnBdvccd/li2ECAdEL4DA4TF7IgPdhK6B+1MigabmRNTOgW7qkS5ZKLPlEB5mczFuEmRPy4rBO8BrJrIlOw3lGfo0WwGj9y1cwiLafP4I6ekMuu7gxjnaWYH6JGHU8R5Ito4NlaBJdrWKcHLI6oBSaH/2UYRwlRhHwYd9P1nX/QziXCrx5mMZXhIP0zju+sMlmCZRf68rmnz1wu7nClaTbyTGPTADYz0SdIVNr0Lgz0FtDkFZgR8QJmwm4AlhS9ES3NdUkQCI0z60hg6NrHwfvIfvusgfCiFlqu+hAgnXcc8MgKS9uubrOLBbdrud1DcVUU/yl5LBc6FruVasKuaX9D2boZb8LFWxQXbjDKpPYHY1SbBdP1jfti2gNaxwh5TRRGOPZ0BVQL25FJSBGJG5OAOcR3arcXc6wg9eXOHtZAZjHDKr0bwZ4+Q3Kl6wfYUY8sMoexVJ792IJOGwUguOgMHjJhDhuymfo3Qj/JfAK4FM/T0v/t0jj+rKY/Q2eAMQ5Qor9USyAtox/TtMzZjqrlKSwptg8uQR+ncfYBcLJJBL7IE9Y4CNTDaYA2lDL/sIY+p4Ee3ODfqKDFyXMAzEpgG7QDQ76Cv14JdvjhSqS0og+oIQSXUZ4EMVd5K6HnZ8WlAAppIpOCOGCQD2ryb4ZfoEnxzd4e/eTSJfwCWAajQSYzE62UHZyWCIY2SSPDkipHS/BEaVZGPn0b1Pj0o+kMKYD2Ygwc/f79m5o26gqgrKO0DIZBFhmU14APY1iXbek4wo+3/keSwOekSCTLj8QiePEHQh8H6Q3fi+gz6eU64TXLusFb5BCjcqidQAwGbLlY/wDGAMtFKDDW0pEbhZGveDANBf3UgnzkMYDYykAAGAPRmjG5MMVH5JwmB/dSNQnYnZ5P37DzAX59DzGSFMIUmGGFOASIA55WSug2mItezW83O4716xQCxZOHSeA5LrbT9cAc5Dn8y5CjEGCGsXMX0yF+cMwrIukqdc3UD96U+w+nSE/RljhL0CzE4h2SvsH1voRgGdhk887n4GbJ+WqN55HCca+j9TQmbOTmGvb6A3OzpEhvRCmdhc0wDiywDneXk0DdRvv4Yecx8ZCr+ajCN5Ck1DXfPdPXviTgqiYoGzN7dIxiPYagqXJ0i7J3DjCv7REeyvv4Y5PoI5PkL/5bfQBc2p7NU1TUGSBON3U2yeGfz42Tv89vtPmWAmO/bIZH+iUL0XRU8C9CkLTnElu0/NXSeNSxRsSeJTOxeS00gYzEc+KgxcRlRwfyaQpSGDOnw/JU/iiGYHJRBd1GgBPnrn0Y0AlyjsLgCX5oxOzVLqsMuCboMiE0xqYeu3QPmeqz5zdhZlpDFxTxrq5OMXuP8oj8TkqG4qROvv+f4AA2fCFnJ2xh7JVqF8T22+OT1h09V2MTsC4hsSfCBgLdUCzsM1B+sJreCur4m+TsaRV+PLHMla+DbzKQcZpUjo3ddIHp3RiMs6+OWKazLh09jVhgZjYghkV5toAGSDV8HREW257xcSS0xCopOkPl1xZamrinXHq+ieCKXZ6MjfGxqPoJyKyaTjEe+a7TaGoUVy8V5IjnJHAUAyqrD/2TM4o1B9e8+fH7JSwpmSoCAAMeOg/3AJhFWhECMD+u3rGummQ3mZo2nG+PqTDGaZIF1rZEug2Es4j6PsNVhhB1vrsA4KeRTdSM4OhBybDCsCnwh6JNeq7oFmxn8+fkNYv5nLOjthg21lHWYLQcPG4qUja7fwn6BI6UYq/lk30nAnU5jNBm67R+KnI+jVhMSn+/tYqADul810Gt2hDpsCnadwtQXKghIcKRTBxMeKdWp1SYZ/svWYvHbYXmhoywNYvaekqq94GLGng2B3THtPZXlAy2vuBKFJqnGpZIprwHTsdAAgW2psfnWCV3+kcfx8gTs9R/kmgXGAOm7Q9gl2b8c4W1oyyOsmwuFYb8liTRJejjL5h/fj0GxGFwUvf3HKghL9v9hZ+rrmoQx7feBB9+tbwu5Roz0eMfhEzGJUmkVNbGi+sN8DZcnGoK7ZgARLTkAamn2MzQyJjm5fw716w8799EiKThu5BGo0ehChG01puhaQwAyykZMI09mmIYHG+8F4ZjyCnY+x/EGFbO0w/s017PsPJC4GtKRredYFkvTrDeWHEsTCOONgxsFCp6cT+F7Bbe8iHIjFCvajR1Cv0/g5uN0OznnodMyJ3xio6Yhwd90SyRBjoRCRaq+uuQ88nsc9vJmOsX5eYfOU02R+71HeeKw+Ic/FbDWSPSfUQFq1mcfiJx42H+G8/wLJ62uSD188I/wpBinDxKOj2ZO9u6c8MjSEeU4p4G43oCRtBzObMmshzyNioKdTXlYiXQzKCHs0QXq1Bm4YWdx9copkJRyLPAO6XuSiBv3rN0Om/bsPKB8fI1tNUNsE3ZFF8T4h6z7jBA8lJD4gknerS06+yhEC3Z/xvAakTzeEPSevPA1OUg/XKRTXwfMcMVfApSQ+MWxC0kIz7l6zFTXT3ZQDQ5iW0g1/xuYZNdS6Y/HrRgpea9mDehkGmH0QCJztkcPZXwP6egEHPAic8U0To6mhFPqLGepjXujRBGnrYQvZ24IF2SX8u23Ji4EIiLgZfvcBFuCZ73rYxbv4XLvtnpC70fAB7faO/98+1POrNIN6coH+bIr94wLbCz6f6e6Y64ZCIV85JHuJRa4+RjM1yDYOo++30EFS6j3TRo0RElxHMl8YQEAeGLSCGpXwaQKjVOTZMCOE59ButsOuXRj7CuTqACCiWpbwmw2CTFiJoU8gNYeVQSDhhqCgw5RPvqYZcHaC5ukccB7VqwXcNy8HuSBkMNmLy6usCu1iCXNyjOTinMjB/YIkyukYuLyh+qhrYe538HoM0wHjLzMoKy58jvcaL30iZGGHD/D5VI7PQ7oJiACi7a/uMITdCY9FqeHCDvI/tEBXEtI/dB6EB+pjeu5MvrfoRhr1sYLuVFyH8zX56NKpWnoFmNg06zhoJmqzhw0fiDa8fA4lfpIBDc2YR/TyYQrpbfc5YeH8ni5X3YiwBBS74HYi5AgVVAHs8NMNsPoUqD6oKH2AZ1czeuexfaqifCIQCIPMJpJrKv47cFwbpGsiB4sPEzz/+Ab9ozVW6QjJTQqTWmzej5Hfa3jtaLriLOz9kiEYVQm/E+aq0YM1Z1Xx9z6wrfRy8Xnx+I8QblEA291gcTsaQU+n9B0oMnitaeG62hDukoveVJTBhCn6AbQXXsN+kOV5gdIPC0K4DAI0H6B1JRp85Gxy/G7Pz7MjUdCv17xohCEPCH8gZHYLjKaqcrhkIkKkuY8ucrhRCVcmmH+5hWp7qE3wFW8j7OY7/k56TJWA73oo54C9gg8ZARgaBOaO17RlVoqf13KF5NlTqN7B62Gto0W65GsymNVoxJ3+V9/BnJ6IZHDwDLe3d1KErMDr/HztagMncN7jf78iB2I+Rr4YoTkyyFY83C5T6MTqsz7xsKXD+lOgm0xw+qsCxf/zb+Gl2Kj5FLi/5/nKsqFIHc2h2haq6YAip810iHcuabhknj5mgbyR17uv0a9WbNKlcVNpFmWVajKG3jVw37zkjrUskPzVb6BfPCV6dDyDqzLo74UAFZr9ruWu9WoBZSd4u5xBjzsol/ACPdj1h+IVIk4D2Ui3kJRBFSO9vaFU0CtgfyomOXvhCiwH3o9LORQEs5/ilmd9+4zDgBE+Ql/RSOWQnxCQiRjF2ksRBWIRdIYXskskanyr4FOg/KAx/80y2ieHy0wXjJeGMVByGTXzPNr6BvJiN+brS9c+Po8u4TpDSdkIfIfR+yFQBxJTqycTqDxjCp2gdvzLhJB6cQr1+j20sPFDPVDTMeysQjvP4AO/aqSwP5NQNgs0c4N0o5Fu2VQp55EtZGAYj2CshZpN4RbL/yK3IxBroRQzBJwFbu84/Ggda8+hmRCAgTwoYWMAuPILDcGBCyIg6y6lD2yHiYYwCpjkaH1xBnsygdnUUPcroCrhphXUtkb+5Tu4zZZ3GBBRRrfbkdg4mSA5ORYXRA5Hvm4e2JW75QpqxaHASf3WbYfTX09x/3kebXibY8LtXou0UwyxrJA8A9oMDDJ3H8ih6YBstRW/L93Is6v4rIT7LWTfNMcK+b3H6L3E/lbDml33lOT2BWF+l6pIRg1qlG7EOpVsPXTr4SqFdqJgRymSCYmoid/tYObzaCcbQi7Cl5nPHwS7JM+ewt3cMphmOkU7E0lFAXQ9iQjKA7rxSGoyccNB7EtEdrDuAisWXBN0w5vQl3T6amceulHRQTBIbHwipAvFg6/EUSnZEQY5/Q8Jbt48Rjt3wHFHktHvx5i8Z755+WbNEBalYM5OCP8ohcCDCPIfeB/hrUNZHz8BBX1ySk3t5RWZ/2kGMx5FyNDXDdRHR6gfTZDdbKFvV7zYjIa3OqIqSus4xUX2ubMIRjw2ROCmacwPoLPgdGARy0WuRLOr0oSmPWUBiOmHW63JKygLOIHTo+pDOnJ9NOf/l1VDMBDScmFBPNGRJEDfo7+5JfnxeIxksecBFdOkqDzIMq5FAvrQ5UMEcJoz275puX+UAwwAru2QzFPClcJBMc8IaatdA31+BhgNvx3c2wLiYk5PKO9JEjF90iTd5Tkn3/cforog/GwA0B8/R32sMf+mh//rX8fgj+rlDFWe87O6OEZ3VKAbJ1g9T0hIqzWUVdj9uMFVmuOj91/A//K3hJVD+qGzsu9kkXQrIWUJJ8NtN/QvADitJwn6717BfPEZ9OkxUQ7xlDhs0gEwkKksSGgyVPPo6QT2fkGk6e0HSibrFma9gz8/Bj5QmaBHI8mG76CsQ3XlcL3N4S0v8nZOe19lEY25giNnyBAAgP0jQv3KAsnKS2NA0mA381AL2gIXd3RK7Atmn5fXAlFqwPRE9GwhzUXGWNXAJwgFFsKI9tIZpCt6pPfVIJsyraCIJ6wh+b1nQmHD32v6rcfJX9/C/v4bqdY+Kl1C0p0OypUkwf7EUO5ZyRpiN0x3yiE6IGbr0Bghmhhxv+uE03FKEyifQo3UYBMt8j5vHczxERuQXQ2fpVBSesx0SoOyPIN5e4Pi1wvyecqS7o+zCugddN3SS6LMoCzj2fVmB58YqKaDu77h9L9YIiSEPnD5a1t4DJbvrIk6olfh+0LAFy8BSsvobZJG1DR5/gzd8xOk39+gf/OW9fTABZATnB0GKhiGCz07w/6iwvLTFKbxGL0vkd9VSL58Df/9G7gDeaYuCvJ81mv4/qEHgltROkhzJc1sgCyDbwYvFWhZR8h77K1F/uoO1fwC9Qm7yWTH1XbIw1AO6IT0amoG8rRzPqvpmjv6MOUDBysrQdR8AtiE/0zLIKsF9Q7nwebC3WiA/A6REMvnnFbBZg84y1V4WAX0Ij8F6BtgGsrzfaLQnGRIH51Bdx0SJdOlGo0ID4cOVA1ErQfhMQJVAgCeXmB3xgjE8ob/rLx1UB7YnWs0M8SHLxiIwPMQ64Z7s6AZDntAQKCRlpIIK//MW/67upU3TuA1IDAovcSXUmpRffAwew18yJFshV3ZA9nWQ3UWdkuIXGnNB2m15qU+qoDphJflfj+wVyXUJkxxbrOFso5d+sEDjbJgBO5iSU7A1S2KfQM3KuHHFbBYAWnKQJ2DL1VVUF0Lr5pooMEUQOmcjeF7D65mdFkeHJosHtIwdcMY+I3wCWTPps9O4LMUWG24PhCFB+2g+8EHO6wuJGKTzwK9EGzY4R1I2tR4DL3voFZbktogsJ/Ih3zbDoEdnm5h5uKcDU5d08dcvp8FmAUmOT+Fn4zIOpYchO7pMdpZiurVCtg3JN2tNw/gfd80fP93e64VxqMIqUab19GITZRogyHvqzsaS5LXYIIUIMjQiJj9HunvG2SjCqPjOdpnc9z+tMDmhYf3QH1hcfNfzXD25gT25pbSPAk5sqvNgCRJ4+WbBrZpkHz8gv9cDFFClgKubml+JHHNqiphX7+NU1RsTD//CHAOetcBL54Cmx30ZBy93f3jE+D9LdDLZyzPDifRMRvhxCBfOLjaxMkklWjubgQxIwHUwRSuO9nTr5VM714ackEHxNmMAWBDMmDI/tifkQhY3DItLQwJ4c+9YaHtZg7BWZS23wpmH1AFIGk8shUL8f6ca4N0zV1qnw/hRfkdcPbLHdRf/R3sHxjmxEQ8+WxcSNr7xQ+xP9PRgtWlAESarDzQj9SgTpLmJOx1g8FLsqddrj+awmcJVNsDlzd0Ap1MmAIZBgFrYyRwSORTIcbWGKh9E0mvXinWnv0e/uuX3KnPpjS0mk3hnYPa13AhwleeaaVVJHsfZgMcNpeuPmgOgIGJH0y79rRKjg29XP7BxyCobszffIle3ktzPOcA5lxEoILqwTdy/7QdrZu1QnVpkS8tiu/ugJv7aBsO4fZEmXMdCNrFQIh2LjZ2umJUsMmoAvBy3ynhPRAFV/DrDYfhD1eYOoe+fILbP1IcGBueAd2JK2VFgnswrwpKtXbORjjI/SBvb2gYneKAC0eyaFgh+J53XHC+dAngJgMCHlxI6blBz4CQKGgaH0ny4Zx4TcRMa66hbAnszg1Gr6gwSvxyFd8IOA9zNIu+AL5uohlEIGPECVWKf1/xjmpmhEdM67E/1mgng4SHDn4+5hsDtCjsZC/BqR+AQI29+EyEiR8AzIbdSzcWaaAAFSE7IFuBpIyEsAeASJwwNd/4bqwwurKMf9QK0HrYZcnvZxyZ4b7tKAvZ7RmaI3CWFo8A1/ecuuXSdXUdJW5KqaErbjum7SUJkEna34P3UD9wHdRVBS2JWkHKp6eTmCYXGf7BXbCgqU1QcET3v4yBO5CEPLfdQ1kHfPqMr0+mDnt9PRDMgGHnHxz+5O/jxTUUikB+1PMZfJlD3a9IrAGijakyKZMM9/VQYAAWu3D5Cw8jPGe6quhK1rQM/Vmt4YXEo/Ic+pdfoSpyTsdX12ziJP/cPHsM9Bb96zdDMApAJCRJYG8Jw5uzE6g0Rf/mLZKPnkPVY/InxGBk/bGC6RLM5PWa2ZQZDdttLG6urnlh3t4huzvGxeoxirsJto9y7M899ucKm3/2GSa/YqZAKE4xqvTADAWQNc9yHfXQfsmiFXaXwatdpSnsfAz3+KdIvnmP+mfP4RON8tUCarFhVOp2z5+vNaeHgjkWeH8Le31NSenJBO7xHMnNBrhkJLMHiKbkCvnbDM15z8l1y2k+nMUw9ed3D6HHYOVrC6amBRMfAKjeqyh9imu7jDXCaxZDmxMRDE5oVP0o2JzBJman4DIPeF7+Qe+vLf/eZkr5k+k88jvu/ftKoU+IMNicuQEXf7WA+9XvHzyTfPZFGnswWSaPLtC/OMfiixH6kmQ+1Suka0TjM92xHrVzFWVZLhG5l6AApgXyry9hN1uYsoQyGu7ymhLi2RRqPKbqRbGRdzIdB60/fygzS/xqAxNWdOA6Vsu+Pa4FjYGrN3A7Il2qyKFmU5hRxXTIR0fQ6zomUh6el2C64y1j0JXRg7mY+Iu4ponKJJUccJ0y2qy7dSAzjyi5Dr4y4xHVQIL2mek48okCqRGnR4BzyL/6gFyeYbdcRYXC4WsMdr8AHpCRoTR0kUBLtLpfbah+KojouNt7BL8Plbbka4UzWhb0Ndjt4F5+j/lshN35EVopCAGi70a811yqYrJlRIMSoJ9w0A0No+4lQyQDsgWQeYV2OuztPa096LTpAeMw+G4kPDuBH6Ac11rtmP8s2dH+3qZU8riU03YYiAPxXgsJv5/lSNoWiZpNoYSVDYBTZV1D5VmUREUjHG1IlFvzTW4eT8jKFTmMzRXaieY+bsc9hWno6Z2IKdDuMQ/ukFjEPzeNIFAegymQECzaKQ9UUrOjVwLBmYYpZLaQjnvv2ekbWT0oHrzmBFAdyUrF5R5qJ5a54cBoIxDsXgxxtnyY2i5e/mpEv4PQaUYiW9OwuVMqNlH65Bj1L16gmyQoblpk39/Afrhi02FtlMcAiJbA0Bp+t4NtGu6NswzBDa+/vHpw8UaZmJDyYC2huJDh0PfwvQWOZoyjldAiTMdwWYJ+WsCMfgDz8h3sYsFLyZOpe7jDe7DyEMKPHpW8vF88AYoEePke7rvvh+KRZvF3cm0HrbXYdNp4SGkAoqMU0222CL4HdrlCMp8CW078quTvpdp2IMV1Jj6Th8lg7vIaejqh7E1y1kO6IYC4/1dC9AQAd30rwUyMBF19NkI/dvGyi59TkdPwabNlUybcEO+EQ3B7h7n9CZL9BLoz2D31WH6SYPRq9Ac/SNQzSUrI3nmoIic6s91FYqeuKrr83Q4FWuU5SY2//RrJi6dwz895ZHOF7WdHKN9voZc7RlynCQvcdgt9egJ7ec046MA72TawxQj7j+dIT8cw2xbq5Vuo2RTVhwazUYmbqYYtfcwgz5Y8q0iJ+JkaaBNg87HD+JVGuvHYXfB8BxvT4IoWkhTDflo5Fjaz55/pLlyYnv97RHiBpEKu+Tj5KKRbRbi0Y2xqOxrcRLuREsMgTvy6C/t6hgud/HoD93e/w//XrxiUjvis2qenWH86QlfRbrUbSyMjvKNurCS/Xf7+sVi87g8yAMD9v1+tyZxf0Q3U9z1XDG0HewCNx5jtMIzIIBBkxjE23Npo7sPm3w124SKPtasNv7ftAGwQDbJ6B7Wro602L0yRHNdNbEZouetiFoiuqsiPMtOp+Puv4xDhZO9uLs6ZYOk93FffxtoVrdGlAfZtR06SpVbfb7bAbg+lFPrNlshlWQ6KgL6PdSgiATIwhUwDWMv9flnIynTINPF9RwIgEIPdkCRsiDYN/LtLsQUe+FX+N1+h+Pk/QjeWRrIAeSi9ipeyN4ixv+2Uz0R6RXlfN+azr3oAmTwrivdXcaOQ7nhukj2ilDBheYqJgumOd2k74/OXreTi37Nx7kdsbqF8VBL0pUK5dbybdJDXA9AK62c5jt+eIwkQSYijDFauKsvQv/vwgGgGZwkfSue1u0hpfiAHPqm9JBGx+3YZC0d5I5N5qqJRR7r2Qhb0SNeIKWvNEQbdPwDkiNGHNhsm/qQGUPOCT7bS1RQ6vml9wb8nX/PPlaceMnl/4MMdoC5nCTt7x4k0dMBtG6Mvgy4VcsG5Qwg/TNBKIXnyCO50huy2Rn5loa8XXCUIIz8GC92SoR1iKWE0tBISXt0MZhplSVJfmhxcnibaNVshlyUXZ9Tg1y0hvywVgw4PTKgDVustdGLQzqboRxWq5QwGGCI8FTkfvu+BroMup9Hf2+/2cnBHaP/0E+zPMsz/6jX6kBgGXv7U6N9HiM7VzYAuJEkkNMYwJmMiSxggwuLeX8aDroRrEFYxASkxpyeAdUPHHwiSdU20I1z+jusPtxL2jMiI9GTMSzdPofYNCU7zmayZFHQ/XAZuQ6c0ZSiFVQKJqjSBHpWiBFFQby4xaXskuynSTYrmGLj/oymOm89hf/81P8eMXBKSIpk86ddr2LfveekfHfH1nZ/y76hKFuO65hri3QemPn71Lcx8hlLMauzjU/jcoPnoGKa2MJsGer2HPzshp2BUxp2sSjPYcY6+MtC9x/KzEtNvAfPZM9gqg9l3vEQLB+wMdEfN/qj2dDVLyETO76niya/p6NccsYgle4/6hNBjth6gUdMORMF2JqjcFLCVhxGVjzfg59vQDKivKClMd9RXpysGqMAB1aWDch620ID4jNhMIVt79IoNikvCFO5x9Psd9JevoiNgnCDlGf1Dy189GWP3qEIzG1JGSdJi7epKaXQ8oLcssLYgyTDzCr0QEbMVUF42JKkKOTZ4i0SkTb6C4U44C8HAhy+YyKLveiidxGRL2ljT78NnKeztHXxICozQ/oH0bruF/+0SvRCRh8vUDWslUeu4potNK7xjnYpNhwJaIbQK+9/3fTyLWK6BtosmTF74NpAVpippTx1i2cOzqdIErm0FLRPOgVZQWcmhTULC+JI8dKKI0LUDehPrhXjfh887hB4FS1wikB76mzcIAU3QCjoraA4nksbRZYftk4yOjmvu1V0mw6qsw0JKH0TEonvmhSAhwpXsVJSLBnTINIAVzptXAMygEgjIQSC+BzSJZNgBcctWzOLoK/7FumcQX18p9IWC6ehS6pXcm44DtZtVSCA5ytHHPphIHFjMqjSDPp6TLRrYk1WFdswpm1IcH7tw3fMgwrNjyRaE/4NbV/ie+gRItyrmJ5uWz6kz/D6z56EK6Ure4AHbMpgnBAlOtmahClwCpoL5mDA2/+XNAw1psMvkjq2TgAQFleQRBfBCHgmOc0E2aIr8YQ49AD0ew90v4D/wAvNKAaWQZPIE6kCyZ85OyYRvGnhhUen5jPKMMB2ENLuSrPCgVY0MWmFxqycXgHW8/EclgBLY1ehfv4sIR9Damr5HnhrYcQ57NIKalMAPn6Mbp2hnSQyJqY8SaOuRbB2gSJzU37yGbxpkv/wOeZGTdR72pWB3bcU0CtrQoattAUt0xDx+BGjFhqOuY0OjqyoG9YRVinceZjaK7pT25g7wdPOiYkMYvW1LA5KyhJqO4VebKC3ybcud+XgEnB3D3C3h15vYnPj7JScSsdz16w3mf/kl+uJH2DwxGP3jn0H/6ivqohdLhgKdnrBo7/c8DwF+TDM6/HmP0nu002P0I4PVRxpeneI4NXC/+n2cRFxdI3l0QUazNGAhL8H3HdyHK+gnj3AYSKOShPwRFcy69lBSYPV3b0jye3QE1Vn41JC9PSqh6hYYj5GM6Bzomwaqc3CpRlJ3hODnGao1C3Q3y6E8ULxP0M0c+koj3ZGVHFzIAru+OQ4EQUoBYdgc2GzYVdrCs07s6AVg9rwUmyPxB5gCLvcxJrgrPXzikN1r5HcK5Y1DeWPRTrSoBBSqy05kgxqT1qOeM9ugmbH5z1ZELpRnvcg2Hum7O/QhBAeIe2IjDpyHKwGV5/BPzlDPDdopC7RpPNp8QCOzFWuVzQHTceBRllrtwAHoxoSK0/s97HrNZ/3jZ1DLDc2sDqS8uiiEa9QPOSKTCSBNP4DB9trk8DG63Q5+LUlCiVySkB9T02AIxkRpcRh2IllPIPj4ex+s/oJSJpjkuOU68mxMdcLXFc6AuKpCaajodrgguhfNlPSwbggcq1hAjRCkbZzqY80dj2gEVpYPYH9dkvznN9uI0gUFgm87kpllTavHTGyNa8fNls28VoAbwoh8x7phxPkQ3iG73qO4S7E7V1AViX5JQ0QIkAlfCHxeBzSAz41u2bzSF0IQ805W1CnXAU5I7UFS6DLAt8OwDGkwkr0YBDk+j8H+N/gOkIOgoOGhe2Zw9EZe7573MBKgSRV8apD4ModarMkIDd1X3cRoWXu/pFmJZMzHgleVcIlCtuAPDsVBtx5doWQfr2Jsb3iR2ZLsyGCSwO6G3YruaCoSDk9gULoEQ7yqIA5O4D2XhcbAoxNHpmxB7wElrEqbs4gomdQCwhEyrEOkJQD4xj4M9UmTCL+FzleNKplKWXyDwxSci9a9gQDjdjua2Ii9rWo7FnGtB45BcN/a7qJRTjjsqixgF2uooAv/gykFAOw3Lzk9zmdw4xwuT2DeXQ7oTWgCwu/UExbq5gWaeQKb0z4yWDJ3Y0Pt6cqhuNqRUHJ5F9mydrkCFtJQzKbszmdT+MTA/gMZ1TpLGW4T9ofWon/zls2PeKCHSUAfHxFxkOhdby3T90QdADFMUvMp/GJFmNB7FjIASBRllHLY9dEc7SfnaE5SdJWWJlGhvDvC6C9/zR3rks5mKuWuU49KqMkE/dv3OP2//Ba7f/oFXv5vx5j95E8w+6ZG9vV7+Xc0yYBighIvkyCHyjK4LKH9rMthc4PFD4H9+TEupn+M7OW1rNkaNh5BhaEYY+rWGypvANjv30CPR0iePEb/9h01yp4rHWjDcynrH7daw759B317B/3onE5nXce11XbH4idIlDqaw1mL8X/+HvbJCWxewBtg/2QMW2iM3uyAJ+yis4Um6pYC+VLO4QVgWrr3pWsWtmZOfo9Xw7lFH1zwVIQmsQeggT6jCigYB3VjNgmudMgv6bBoao/qxmLym1v4V29Q/PAT6MUGvsjhxjnXANsadl4hXWfYPUrRl3QQ1JaNSDtlimH1rpa1iInrLGglLnFMn/N9P9Q3Y9CdVFRUyFc3UoOpGTj0pJb8p+ZIap2Qt1IhNbvMY/IKcP/wHX9uWcCOc/hZidRauNU6cohC86urivC5dZF068MFmSZDMmvQ4Quz3bcd/SOE0KayDBrg90bJsonomK/J4VFpMqBDYc0WuDVyeYavIEUMawN+COToBPKu7zuu1MryYPpOo2Ta9yo2AwHBi4Y/ZQklQ46Xz8p7z9TEsozQPJVFJXzTssaOR2w2wnm0LvKhgsGYXdJYKyaNBm5Rx4Az8+wxTdp2e6abhvths4W5W6G4H6M+NhKugxjUY1qei2QHdBMZ/4E4HIe0v2AcBUX2v2nYQNuGnBKbI8przR5xoIao4LIVh+x2Si6MN/SWSHaUBNpKYq9BHpxuSTIMcdWm5usMMv36rECidjV8byOb3W02kt6k4Pc1s7CNgb28iklPANB//ozOXvtg/jOQGXRPyEF3su+z/Iu9pkdAtuJh78YgcVCIEu2Mv3ji2BEFaMXUJBZBYdi3+cF1jGlbotFM+MEEuJHSCKC469G/egM45n/7hnCRnk6glYY3JjKAw7Sv8xwoC7g7PlhOYDVVlwjBFNC07Dzs5MOEaE5P4VYrHsyg8RfuARO3HFSeweQnkpttH6whg7zHnCd8DYE4Fm09Kz6gIdBDa+gyh7GObP8DaU/U7e728N+8QjIeIS0K5E0D37TQsyl/dpbCnkwAAObdLQMznIcv8nggIhlQJg9XN0iqKk6jcJ47yWA20vdsFETmGKYCXRQk3Gy2nFhCsZCwJfvtSyTPnsKfzIEP1+i/e4Xk6ROooxnch6thr9e1UBJHbMYjbH/+BHc/TtHMqdM3rUTJbvRgYRx0/4tl9CDX56dseq+vMfrVW5xOXmD9TGN/ViL7yScRbpt+Q0VDMqrQf/syfl4qzWBv7mAAeH2CfGEweqfgjUY783j3zysUP30B0wCn//EG7ndfsQiPRoJy3LI5nU34+x3KnEYjqnGE6GkkxCgU0BAuQ6MV4bDs9mSD39zCJwnUfIb+5ffQfU971+sb4MkJE8N6j2ZukK0dbJXETI9gyENzGSBrgfJaoZkjMvYDK9qJpEl5NuHtnI0+3T8V0QLxVK/PHPI7jeIW2D91gGd0d/F9gvnXPbL7FrYwKF7ewY8K4IuP4RNNhMs66LpHPy2gbIpuniP/sMH28ZxWwHPKsWzG+lLeWmRv7tB//1ZgdQXzSPbA1zd8BoJOPSX3RuVkoMfkNseGxOYKaccprJ2z2QBYvG3O1YUn75Z//53C8W/X/Jlpxibyr5dIPvsI3WePkb4v4VfrGGwTffsPkIrIahdUC0oDvRug9bbjJbajBBdbYeNXVfw5wZ48GmwJ76V/SyOikFPByFza60Iu0LB2PKw/qixj/gS8G6b14BAokb1QinVUfAxUygs5SG9D2BkACfTh7+gOOAyQpNFIQBS742D2E8OOxAtESXMTkEBbN+JFwNhsL4mA+uSYZ0opmOmE9u+rNdRkDL+RbJiuE3O3BtX7BpsnFWzBhli3EgJWKoZlOY/8Ltxt9A4ITpfBlyIoAmzBTUlxpWLarWl4vwXr6EAatIVCee1gU4VuwnpmWvqRmBZwHcOAdM/03fLaY3/GM5du/UAkFL6eS2QNN9FIALBjdI558EkykLKsZec1qtg5i5OdriqsnxZRqkNrQjIqkxrYPaa/9ujSYn+i0QnhL1vyRXRjdi50N2KnEpP+knDhy2TfkYXcHKmoqQ1EIlPz/6te3jBLiCPIcCCkQmeAbmSQjyp5gEj+0EfzIYktQPxlSVgIoB+4tTCPzqNdaoSbBIYySTJ0seFh7Dp22NutEFGauDZRVcX3UWngdAZkKVyWwJwckb2dGPg8g1ptWCwEumc+uIvMYC+aet9lwwWkFHC7gLdD2qCZckK3i+WQ1LUn490tV/x984wEtP0eajKBsZYynMtr8SBv4QSuU2kag0t4cYqxUCCShv246IfDft/K9ByeH9ruike4aHiVMZxIpOAlZydw0wr45nUsEv3bdw9NRgLpKTRfRzNsniZM4tqzs/YJD8Dqhcbk51/A/6e/H5wtARI3p2OofQPvHcx0iv7tO8z+HxvMnl5g/2KG3XmKxRdAttaw+QTZ2sGclaju7uP0FGSiANCcl3CZRr6yyH9tsX2UYP0RsPwBm+VmfobzkxH0v/tlfDbMxTn8Zov+1WuY2RSmIEFMFZZrCFkF+L6HPztG82iE8jdv4esaybOnREGUAkRSifMT9F9/R9JXlorDG9Ub/bsP0EWOvkyhHCF0myn0JeV/SeNR3AySvXzBpt6l4nImu8zQ4Iepx6VAcUNZXF+R0Kcs1wCmUZzM5zTi6SsPu6ZXQPkuwfQ7h/mXG+hdi35KbkP98TGSXY9kSTManyXoxxmSVQ2faPSzEn2p0X4xQzPX0A33q17TQXTypkf53T36V6+HVZ7wQMLnH58hSZ7UR8dkjPcOfSEDh5ainvF3T9fkOTRHKrLC/YiwrdkPnKZs7aGXO9i+x6HaBos10n0Dv9lAzWdIxiO+rps7aeZF4ZPng/RWmgH96BxeQqsgNrkhuwBpGtNaTVBv9UwYDTwllSTwh856kurqdjuRrM7j+wFrB6lhuLQdDbfU8Zw8o4P1Ac9BPxiAZRkv5ZC50rVshoLEPJCbiwKqKNC/v4yKKyeOhNHdNHAhZL0Ym9/djg1N8PSQS953lN+aYEg2m9JgSeKA/XoNNRoN68RAtN3Xsb5Cs/Fxt3dwP34Wd+uB2xKmc5sBOhsyAEwjl62sywBBqzWGpMgaQ7qtAXYnPuYIBCK8Lah62TzVKG75XhU3HtvHtNjW1yoGcQVpYH3MJsC0Hs2MaznTyD2d8XtcrtCVCol9+x7m2ROmhN3eS6c6uNvBWcI5yYHjXVXGfYM3kKQhyUnPQFMOB+zONPfH146RwCLvyRb80e2ch5TxwIPsL+5JQGTAZnQT9Akhk2SjYm55lEYo7gah2JU1x1J4ciEJpio60OkJL6yY+e19JID4uoGazwaLW2PYJYZgi6ZhSl1ZAOs1oeC7BR29jGa8blkMngqWjZNKhaE6G8OnCXyewlYpvDDmlfdUJ2y2wGKJXpLxAvsdACGywBIGL1VGgco0GwI75vPY8SNNYk63GlVc6Qi5yFvLw3ZxCnW7gF0sKNNpWur5vYMqqgfphP3VDT3kJVDHNw3cZhMzus3pKYl4AS0RiDvsIQGwQfKeq4DtPsqYXC2Rx+FiblropQemkwdMaN+17ODDa2hbKMi+tGlx8T+8wurPn2P13AgT3CO7Zzdsbtfo5Xv1eIT+wyUh1OkEdj6GbkewowxmuecEtKtR/XYP05xjf1YACtg+Vtg+MTj+nYf/+CmS1RGwE6b+qII9nnK/vrPQvYPe98gWGsWiwO1PDWwObJ87vB1X+PhWCIIHhSimA273g1nUbArc3tFaOUuBD9fIX72FrRvo6Ri+ph47eXRBOHi/hzIayUfPYd9dwjx9xLXVdAKYOeyHS65K5hm8VthdaHHo9KiPDBn8NdGjcM6yFUl/yvMiDLbfXvOS7CYe5aWSyxKA54qwnXNV0FeeRKmG3J927tHOPY7/lsjD+E2D5jiHPy2Q39aE6BVXVq5MAevRnJcoLnfojivYwoipmEc70dyNiorINB7FwqH65fexyed7ukXy+BGgNdGtfgjcMqcn9P/Y7qiqaZ3UK6qKgtbb1P5B1G9fsW7lt+Q52YLF3uYe2Vce7tWbWEuBgBTdkDO0XvOinowB66Ibpi4LhOheXRaCTnIXjqaNZykkegIc5KI1eXDJVGwKdSmkNsk3OVQiQRvyciTsR80m8OsNV8HGDAhEVPrI+ez7BzLVgAaEy1RXVYweVlkmRNQ2ci+UVjHi2m23cG/f8Qx3XUQVwkok7OJJMpSVRjKQoB2GhiY4XLrdLq53VZoReY2mbxxw9eNzEmzvF7wXUgV7fRM5XF4M0ry10I1Ftg5yVXpWWKdiVG/8+2Xl7coBGQuBVl7WAj7lGgkF7y4aS4mJlej/uR4XRcGGjQcg7pM1z6HLAL0RBKoUZZ3ce91oMNAKKF7w1gj8vIRyMx+7OLvaDG5yzsHL3ilEAwOAGlVYfmbYcWzlYkwU9N6TyasPfLB3HjZlpxxCEvKVQzPTSPbcn0EjJgO2M17YugfqGTuiQHqABj2PhclohekfpEYuFftgy8mjnRCe7EeAuvTwoxJKvJ9d00IZP0zl3tG17dE5+sdHSC4X8MuVEGSGT9fMZ2SurmnoYq9vo4+3s5adqTHQIekNiO56Sin49Zawd5bQOW+7h19t6BUf/o7pNHbr3nKyD1aZSqkH6oV4YYiBR2TZ98IwDz7xI14q3HvRgMM1DRuem/sH7GMkVBxogE3fQRAPE7p6HrIsHYI/AmwffAW0eVAcAhIQEr70aBQ5BeGf64JQob25hTk6gkcHiBdFmCjM0RHsYjFAod7BO0/ToI55Cq6uUf137zD5yRfojiuYuod5ewN/PIPf7mCOjlhcz4+w//MX2J2YCNF1EzF0URMU1166e3mNls9gYOzuzg3Wz+YA5lS9GMrS4EkKM7c9klUNV6bQqwbjXYd0VWL9IsPqU4Vu6vH6X53hWZbA/ur3g99A27JQCRqB8xP4myB7JMvbnBwP+u2QUPmzH6KbFFB/9Xf8WdbRa6FraW5SVZx65jOqKLRG9WaD5Y+m1CenACQ10+U828mWZ7ovWGyylUd+77F9otAlQH47TDnphk0+7X+lCI0luKtmpGo/4ioh3XJoSNYao6seygLrFznSHUmo7XEBI6Yw9XmJZGeRf1ijm4zh0jGU9difiQupwKpGGpKk9siXHrP/+DZ6U0Rys1K0AQdgHl3QC348glssh9AqAKpp0Jx8jPpEReZ1mOoBRG91l/A/ScuaFa2HMw+fChErEPTkLJBvQrQHStFz5X4ZY6yD8ZSZjqlyCCFdYXLtGAkdYf3mAGUDeGGB55G+HuQmxRwKmXR9K6u8qNJJmUOx3tATwwn5T7Kgw6ozKMFCYJieTIg6BC1/nsO2rYQIpVBlwUn+eAaT58zgkHWnvb2L8d48gB0OI4P/kHOgJ5PIKfJdH8OM4LgScXUdGyYAw3vvHeB8zAUI/grqfkWXxPmMPh+CRgb5pe/5dyDP0Uut8hoxiCdEQZsGKO4dvGLqHjkCiGZRNhM0OkEkBoaf1c55X5n90FQHEm1oIALylux5pzZzym27EbA/U8P9OVVxDWELBeV9DCiyiULSceAO6/lETcYR5vdGbFi1iuQ2AND5CMjz+CB2T49pxtMSxtifqdh5hzcluPRBA70YfLgEvLgzReJfSUjQiFc1nLgaGaAdsSPqiQQiE/vEsHJQ8owoL0V5N0wjXUX5oe6HD4nNh3yAe0539nbNQ9Gx4JrjI6DvY5iLCxwI6yLRz9cNJ/oshUmmZA+nGXy/isQUpTWQZ1CTEdy0RDvOAOsBo2B2PcztGv7338IJ5HiYuKeSlD9TpufAJ1B5Di3xwbGjDTs08dMGMDQazvNiSJnZ7e7oHRCn8uAa2AySQ/OYU2LQyEfEJ7h8KT14Ayi6I2o5LC4k7B2QKgNzWI9G0E8f8Xd8fwUb9n7bLdMM23ZYWcxntBZuW17SYicM8WfAdovko+dwkxHw3eshCrmuSfw5KB4+NQzFub5Df38PvdnyOdcK/Y8/we3PKmye8XuTHRvLwMwNdpvBQTIE25DIKuumVGHzwktmBQOxNi/4s4obD2VzjLYN1JevYhEr3qfI7s+Qrce4/6HB9rnF5V/M8Xj9EfqXr4lszGe8sMuSz8j9kpMUADWbQq02sPfLOJ2pJIH7/Dnq8wrV9yvgs4+htnvYy2v6NgAs6NrArjZIRiP4kzn8N6+gjUa6HUNbTtCBfOtSQeeEQ2NLKTAzyv+Cfbc3g2SpuOGqzpqAGAD1KaBbFclPLmUoT33qoHqF4o5OoUG5Q96Bx/pZCtMmKO96OpjlGtvP5uhKjXZMmXE7VsiXZBene49s47F+TqXA5NsN3N19bET1WC7L/T5yLdD3vBjFjfGQKKurSgooVwq6HfJHYgGV/a4SrXYzH/4Z7WA1ijuib+E51rMp7P0SCGY+gqzp0egBVyg22m03EP2ylFwBY4BUPbj8A7E5SuqchattDDYCQPv2+Qwmmw0KJm3izl4LH0eJBwXuF/QFkXMfjLJCTQg7djj3gMCLpoGZTMSvhDXELZZQdc1skfGYzavs9uN6NKwhDhqmAPdTwdBGREznFc17RJ4cpYkAVwHiBxBfV98z4Ezeb5XnrF19z+egoeQ7Ogxm2VBHvYfqe7TzlOE82YB6pTVJ7VC817qxEoMgxIvXixLRZSS+B5vfZOex+Zgy12zFey3Y5feVR34/qEkY+csaYxo5d8WwgjOt1HYLdFMV/S90G5C8oYmP63YDJCGRDcbQ/AcgmzpEPArMGlyYdFFge5ZTViD6+2RLyN+mCl6xOAQTn8BCtGFK2HJVEOQTug2TO0lDkB1J+NkApwWb48G+P/x/J3BLfi/xm7mKjmJBfVDcsFirrodtO+g0HS63QhLxTnOa5tzeRyhd5zn8vmYXLUxXPZlwp36/hEoTJBfn8JMRjHj34/QI7VGJ9iiDzdnopNse2fWW+7JwiJ2Y7ciUFkhIuizgbQ6Vh4ooATfihuWtja9FpeQfmMmE03zriBDU9ZBoJlNiOEzmiFOwazvAN0PXPhpRE3+oOw6Xt7Blqf3NRTqjqeO1lgdFiqgTaE7PZ1CjEVP4vAfuFoS4DZ34/HIVCW2H8iu7XNFZzEqQUeAEeB8dxfz9kpfgvube/OwYPtHQN8vYvOiqgs0TGNHz69FoCF2Zz9BXSVSKpFs+U30xQHnpWqI+FWCE+Z3U4uSVANP3jpNeTkjfGUTWt/XA/pFCP0oATDG5XcHd3gEiNfR/c43ZyyPY7Au0c4XNc+Dqf/EY5/93kpD8ekOPgKoUTgnNTsx8RjMfIwXZWZhHz+AnFfS37zC6ItNfTSdwF8cwRU7iq1LkEFxfk1RZ5lCrLdTjC2BfI79p4FXCKXfCApXUQDPVUM7HydZm4qc/oRwpW/mYTAZw4ggNlMsQjX3yexUzzk2tsH/aQ+81imuF0QcL3XusnxpoS9iyz1WETHdnCbpKYXQJtGM2KSyECvUZ0JxouvBNB+Of6ase5sM9vDFInj9h5LM0lNFOOc/Ri9UuHJns4bJKPv0Y3cUM9VzDpkQzWOARfRBMI/bH9fDeBBe4EP6S3wO6ddCnJ3Bv3kKPx7B399xTy748xOy6+3vW4U7IuhJKpmeT4ZIDG0C/pqsdtIq8ArcVr4osG3btYajIsiHdtG6ihh5go0FFTQtrLWV1IZjswA4+fn/gTZS0koVSQJ7S4ryuJeWSEcqx7ohPAe3Jt/F8AojDSzRmOzDggVKD4+FhEmJOQrJf1vH7Dutc4HDBGNZ38Q0JTn8xlCuYnhUF/OZ+WMcWOYmUKWu1W68p2RXJOa3CqXIDEAmyplLR78JruQb7wftfcZ0PJ+TAbqqQrga9/2F8vanVEAyUESmvLjn57894/upTD7NXEXHTrY8mRGFVFQbi4MarPJA63oc2B5JApvJtR+nDvmZxH4+g0/RhLK08gH2pJXZT9hKOXYbNeYaU9ULK44s3tYfJlIT4cDp3QsxiJ0UEIPAKwq4tRCB28gwEt63Q3XRT6aggDlwK8rP5wZiab4rNOSG4ccVLs6MUT6cpJ+ymGSbfNCUbVZshA0FCfqxM395aQs4nc9gigbIeuqXZjgeQ3u2Qvbrh3wMM7PZRBR8hdYfg8Q9PyQr6Pvq2qz1NQkLwTzw0EhV7OLkHqC25OKfHdl1LjoCPHS0gEKI4zxmxJfaSKGdGI6jtPsrjdFXxIIjUTlUVPRS6ljt6paFyz0Nt3eD7He1ERyxU4T0M/60NuRPgtO+te6g9FslfMCCC87FJCj/bhmlY82JT2z38LQs+DZBEDvibb4E04QF/fgF0Fur6Du5+gfxmjupDFrOyw4QbDnQ3lWdImLm6lVWSA47+oUP+r/8GcBbTn/4Qiz86Qjtlbne21NwLTzwAhe2FQf7JOTLn2HhJ0bG3dzj6P/8K6f5nuP6Fxv1PHYrFRxj/618PscHi9OibhkFKYo9M1vKUn99mC3d1zcK8tLGhUvdLolBpQha20kPU8/UtnLjGud0O+OQRdD8QjyJZKQOUE0mvYaEKTbVLhMy7lWlGNMa6BQpBEdI10ZD6zCNbqHh+03sDl3nhDtE91GUKZu3hCqA+0UjXHCr252IotNFDCuMIschlCxbWdgakK+D01w3y//QV+hVTI2FdnHbDLtmkSTSwMvNZRPoCV8Bvd2iPz+hquB6mLQAx4S+sHutTnu1sraKsuZvw+7IFn+f2k3OkoxLu5evY7Pq2BcYjXn6ScxEvP23ixefWm5glASdNsOzvdRoUN5xUdUmVlmt2sdlX0wnQ9THi/FAqF5qeqKkXvT2qMp77eKGH3XuaC4LY0QFTEAQ1HkVOj7c21k5dVXHYcqsNUczlig6Y8nyT19DEtd6h2ym04gAUD6cabNrb5UO3UvlybUcCZVmyTmUZ+veXAy/CWSZ0PjmHWm6ALIW6OKHUfS85ImMiRETEKRV2KR33gszV1DQEUpZS00BO7yuJ8F0iNoOqByAoQEjVbI5Jhg0mU9kKqM8A1Q1rtdBQ5xsfeQExl6PlnWp2ROZMS/+BvhQSu9y1ueRjtGOFpPZii89zkwR2dnJxBnhNMm+AoaoS2GwQ9Ke+bYHTI+zONDuePS9Yl6nothVMd7wmwx8eUELSC/agQcqnO5E55IIGWMAKAgAwbtNrwMi+InRIoZMy4g6oO5Iq4MBVgkwbXvFneudRH2nsP5pgdDOH3+2hJmO41Rr9h0tq6CdjqNMTHqDVGrBiSOM9VwThYZAAC7feENLa17wEy4LwfNtC5zls04hpxZCwaLIMflzw54jnd0zjO3jAdZ7Hbl2PRwNBUfZvEEjTLpb8/jGXk76uI1QcnbWEiRstMlvqZsNUEP0Pdjvg4LCGBkPlPPDo2oOgKFk37PdspMqCZENZj/i2hb1bkCwoiXtBB+zbNlIqfN0MxEClIYQHrqDSlLa3nnyLQDKEUtBFLr9DQTMf4IGRS+B1+PWaefCnR/BZAn11D7cXtOXNJU63NbpHM+wvMumIGZcJIKpKdAsc/X6H9MMCblKyOW57+CyFawH7my8x+Q1gLs6x/G8+xf6YwVdGXL/6SmH3pEB6WVHudbjf3O1Q/fd/jY/e/RTv/2KMm58Bxe0X0P/2b1lwLq8GJnXbQh8dweQZmzxBi+xiQS+F81P4xADvLoGOBM+wwnNyOfi2o4oiy+IayZweA71DfifEWSEK2YxnJ1sQsQtxs82Rija34eIH6AIY4rtDTLcPqN9Kminx5veKkj+bc7JJN2IrLElqppHBQoVGw2N/xqKqe55/3UvQiqxryiuPk7/fQf/Pv4HtGbNLouMR10ybLc9uWTARUp5r3/HiDYFSAOAfnaA+Msx+n7J26ZbDRj8SBYTUJ92pmPEeBhVKmZUkFQLZ23vWiYMvnedQ0wnlmOJMagLauhI5n9ERTkeew17fAn4I0AEQI4RjUuTh87XaRFKtnk4A52iDqxTszR2fH6kXAC9OAzZAfrONxDtVjskHazvWizyXplIhOCgqa6kgKkuiHIdfKbM+gvcAlIYyEJQvJzomEuFAagyNrw8rj/DlfbQa17MJs1ZWq8E5VBxTnQSMhfWBztIHtdbv9vCzETAq4aoc/TxHdrmBX65i5oYX7xuAqEA71vTU73nPOPjoDslYaH9AiuekD0i2RTeshkIwVrphlDQHZhXlf+kOaM0w8Kar4VLXnZBxM2aK8O/mWfAKqE/plknZnwLEOMs0bATaCQm8pubQnUSG+XZHZrtcPNhQVw5xm/INi3N3XNH5SrSFwRqRu0AFWM8ORiZ6CLIWYn+DHAFA3PvR45h/Hpz+wsWurQQFGUQXQX/wPPyhLWJfITIwAcBawvBQwP4kQfH8HOrvv2IxlgfK9z3s7X08TMpokrGE7BIid9kxE4oP8Lsyho2SdXGKjTbBjhK+aDjiHOw4h6o7WsjaPKbgDQ+3GR54TaSA7ljcbwfyHVQWNcuAwF7OP3DmC7ah6Hpa7ErQDIAHCIKeTKh5rWuuBoCouVWFdOi9hbYObrNBSATzPaC1hleKRJ+pyAnB6TzqlgH4vosuikwKS0S+tHmAMAVzEHe/YEJiwTUMvBsCQBK6V7q6pgtglkGX5eDj4BzQsBmBc1DXd9AhStlauL6X91Ah/d33yL5O4ccVLYGthZ9zalLbfXRrtMEYpeuAyYTFTiuiNrd3sJdXmP7ftij+yY9wXeUkrgJRM+yrnGTT7VBw+YxY4D/8Cs/fPsPV//I5rn9e4vH9jxhWI++H2++pzQai2VFE5oKsKzHwowL64gzu3YehAZRCaoV46TtC4eboiO+tc1Btj/GHHtAJ+TwQCJMgxvBSg2oyZeKfS4H9qewbGwCal2BICQzrlBCGE3wDstXQZDnD3Wm6IzzZjRkpHmoD5LKPr0kPYSzx8r9xOP4P79F/94rPnri+2bphfoNo7L2VVM31ZgjsEqQMzg2IW2fRjhXqc4dkq1BeKSR7L4VbCmgD0WML9C+NSTfyB3UR0E0fL389GcNnzGJwdQ1c3XDfXhRwLclvKsr0yKnR8xmUUtEnxMxn/Aw2Wzbkog44dBOMR0lCs7CvgcmYqFpvZcXUEvIW7wFIEBcEiYx5I2kGuAElCLUDVSV/b8d/r+/hbu94xgUJBfDQnrcsuWfvOrqIBr+Virt31xz8HYJABGLzoQ060hR+u+W5yEWRFAaXvuc6RWqqW6+HqODVKpIJ7dU1II2XHo2QX5zB5ylwfkI5sCCOvu9hnj5G+/FpZNXH8B49uNjaghe8aeV/N/I9auDGBXKf8lyLJxsij4Hd7zKeMZsNXv8kupPd7xIOt+FndmNIMiYkf4L8mnCPwnM4h/cM1Yo8G/480zokJJoVhIr2NQ+QdFjBdjJ86bLE7jTjrq0euqAw3etO0sE82dPB3jAUAeUDxKhiIfEaQCNkGtHvh65KtcPOJakFGRBOQWBIhoxybdmRJ3tE4p/uJCUpGfYj609GmF+fw93ek8gnu2oAUYYF52nd610MrIkXqxN4zhhGS86mMTnq8EulmThyycUlD3v69g7u8prvyXwG51zseEO8b5AoAgAmY/iTOdRmB9zfy7rARRcrOEr51EQoyusNtKb0J5p4FAIVOh/h/ZA2CM2LHmkCNCo2NgDYdCxXUCIHChBdYPKHA6rSjBB1iBQOuQmHrl2K9qExe7ttowe7Ho2G38daKlHSBC5E904mSJ4+OYBPOxjxNgiEnuB6FoJMHjCJr2/5OVmxEk6SuN7wbRdZxG6zpUwMgO/pvhbQnFDMAMCvVvznq5V4qY9iRHT+N9/iDJ/i6k9ztNMAqysWpNkYOkgk/+Crf/0Gp/+nJbb/7Y9x98dHOL17iv7NW2qZJZ8cbvB30JMJ0aXVhtyUXQ0s1iReil8HlBounfWahDeRP3rniGYUObBrMPrPd8gWj7H8rMTmGcm56YYhOgFyTDeED3ePFbZPiHAYkedma+4nQzxpUvPsecXpo5uIJXih0ByJV0A5rBWauYZpfDTeSbYDuVB3QjI+cBrsxvzf5ZXH8f/0jgZHooNH17ER7Vr4nrn1rqb+Ozh16vmMZMDJBMHYJiBjq58cYfMCyG+5yHUp0HuxFRYrVi1cpJB90ld8PclORe8RepkMiaNmOiUxTfT98GxUfd9HL38kBlqebTQNCYriK6KAGPjlD9C/8DwZkScHREGHvIHJeFjHKZIJg/sgwEtTAYDRUEXB5jtJEVaTfseGPwwnvmlg7+95MUuYjhcEQrVJ9EMJAWvhWaRT6m5YdUhWR1yRCqlZ5zmJfOHLmHgOfd9DOYcY8zuZwL04h17t4T9cs5YFl0LxUEGa0lNApIEAYtOlC6m790te/l0/cEPE8MxnKfanGVyihkFWvGuUJVHY5oiZF8oCiayiu/HQCBzGRCslgy2GFWMww+sF4An3W/i5WnnoWpDJnj4nwTmQ952CasUC2/qYVmlzFdEppnayee8mGom3Fsp5oLexyCml+OZkKVRaxb2lPjtBfaQjAzJ050o6ImdU7D6UC/p7xDchyh8OfnlGgf6BgsAiymnCBR/iFr3BEMyhBtZysE20OWFJbzhF2I6QXTulomB7oaH/5DEmXxbA5Q2Cax2AOPXDOWC7jTrYsI+z6zX33D6noUSwxZUHJbB1meNOr2nvPMx0DARS3k522UoPhyEgAAAfuPDwa0PI/+0H+n4DCIxct1OxOXPLFdcLkxGjPoWgCK05dc7GUHULbS18y6IfjIwCgQ/LddwP6rKM3TXSPLpEhks+puoJpOa7lj7do9FgVCMwrE4SXj7yPijxO0fHZsJKHLWSgxjz14EhHrRpiLpIwFFIQotFQ6BJEqCSWKy8eCiY4yMWrvsFP6u+B3pyPOx6DXN6GhnhPPcuyhnNeHTg0d7ikEgZJ7dti+T4KBqYwAOzby3WzwzaKbB9opDsp5h+o+G//R7/v77ceo3xv/8G7f/6c9z/s+eY/78pq/RtS6vSNIl/52HR931P+aMoIlSWRjjU3i1iE2oeXQBGRytdZT18amCuFrD3CyRXI2TnOaoPOip7vAEQiE0Jm3sqJHhuy0sftcZ03KRBTljHMS5VED5FNC5bskBpq9CNuJf0OpCfBqRBi2tZWClCM4J4f0429MmXFpN//x3TMrUhIiTnR3kfrcyJzDkqVeRiQtvFrA0Aw/Pz7BHquY4FON0Qom2OVXQ9hbzWEN0amN6Hjoh27JGtFJJ3d+iDzG425RpsuSKqFRC2cGbkcgpyvpgAGGp3kjAiO8+jNA0HO3BvLbBcxYmZ9WZP0nE66OmDp4bKh8wTJaE5XmRyXvfQ1SR6pQTege/6OKy43Y7/rrNCnCMqoY2BV0OIT3x9bTdkHEhEsdvuo29/9GQQfhZEXfSHDXOQOKPt4O7vobZbuIP8BL5ZKoZvwRFFpTvmLg5HSqTT0AbJ6QlcnkAFe3Gp6WY+Q38+xf5UwyckwWrrsX2ssf6jBsena7S7At1VCWWN7Nh9vOOSvZBhC3ICUidyUhU4agfnPwlNt3CSAjCsgFRWbftTjTqjYinZe/ha7Ifjz1Dx7PQlg4BIWByezxg3XHskSinCYMG2cTyCE1jWtYgsUSgFnyboS2H6JiIvkCKR1HyBwZvfNCQOIRkkM8E5KRxwr0jiCVBHO0ck9nQTwLiHcKIOPhMKgBCR2rl0VFIkTCsSLpFIGJE7HHo270818sUY+WoLjz3314kBigx6R3gJSQIjUqFA/NMSRMM9vI5daIyb1LxMzWQSD5ou6ASonIeXyyd6v+cTeJHQqPEIPsRbhobA/X8Y+5Ne25IsPRD7zGy3p7/t67wP98hoMrIvkkmmKJIFECoIgjSSAE0EaKKx/oFmGmqiPyAIgiZCEZAgFUqE2ICsYpJMkpmR0Xt4ePfa+2572t2ZmQbfWrbPi0pBdQGHv+a+c/fZZ5vZWt/6Gj+ydoXoY5xL8FrS2luD4c1bOEEr0sgGguZc344FhMzhwqHhvy0yOgG2Ku+zCX6Lw8DNUghKZlLD1RW7q2FMhVRtLaM9SR6NXUdtMJA6d/+whguRh/q0RiwLZFXJDkm6cSVIxq7jNUvnZpxDWB/9WrtyhRclUMj0A2eCdkwaDPvX3DQvL4DMAU3LOWWIcKcnhImP0sg0wSy2bVKE6Htwp6sUUBREIRJbIT1lGfzVW5SnS7jDBENZI+QWMPSln7wpUD59DMRIC9a/4ctf38D2n+HmRwa+/BRn/3aJ+PINg6TKEmhakq7yDDg/Ba5umAXwsEkeCZo4aOsKbiajrCJHrArsvncBO0TU3zxwNNR0SdftP/8N5kWO7o9OBdqmPtmX5AKoKkKdzEgUpPmNkaaumxu4Q0S3NDAHfk8/N5g+p/5YMwP6hcz0c9HUi2wqZPy3qckwRAIpYyLTevY84vyff4vhxSv4o7wL1cWbLGMTo/NtY4EoSJExiXtiijxZWRtr4J49wfp7p5yjbiCcA0L/tuOe055IhyeNraKR+RYpcz2W/HMarsS0VsP9A03UnlzC3q0R1hsqe2SfUKKeWy4Sn0j3AluWo7fH/gC/3XEEJeZgeiDr+3Uy3jgO+0nGWRKtmwKGVBKs9r15np5HRl6LXA8O7nRFxFObFO8lFCxPUHtoW2hgUCJZiz+ymgqFpmETpdcgowR68/dJvqxr8p3DXYp/d7Jk4SB5DkluKZw1O5ty780zYHZktCWcKTubIspYL/Y97OYAHJpROeIDzOkJhtqJO1/E5kODw3c6/PDjl5hkHf7Dlx8gLwf82Z/8HF+tz/D2v32C6QuJ6JXRdL7m+TbUPIRdi2R2p9J11yKN1k0E7IH/Vpvjbk61Tb6NCCuS+9T47ng0p4dDtgegcj8L2Hg0usiQzIuy0DRwdY1oAqu4w4FVqUbeagUXI+K0EvICLwSW8zs7EO7QKEQl+rguol+MKAHAAiHbRQww6EsZE8jFuHasTjQiOEn/5MBX5MFEXkc/5X/KgIyWRgztKdAvZD7u6dKVHThP8Q5oznJk9ysYPwdevmUHv1yMTlrTCWLJ+ZeVuRmUUKehFlfXcCcr2vc+rFnNVqXo+G3qZJHnqcJPBB6xI03kla5P83eT5eMDn+cwLhCmkuffqi//dJIsceNun7Thx/If5AWCwHUJ3chzJJMPjN2y+vvDGrjTE44QQuDM0HvYxQJxv0ua5igSRC5gMReRYkEX7zv+3P0Av93ByiYN9QyPIaEmCV2Q+SKTxEQxodGtUWRbuvnrPFcVCzrTFF0xbDYiAuB7svNZ8s2PkksQRRKpyMFoIhITacxf3wDSVduyRPQ06zFVBWRyjZ9/ieyTD7EwgOsI2e4eW2w+KJFtT2C/esXr1LHPMQkUwPR1i/vPaqw/Bg4Xl3DNJVwTMXs9YPKrGzQfnmD3hIhSsbuEawOmP3lNu9uyhKkrZOengKfiJJ7M0F4QxarfHOBe3tBTXx3RBp86Qby8wvTZHIeLAr4iQc9X9DqP2TivtD3XWz/lXDw7cASQGQDBJDtvE0gObEUuSMY+jYFcgwRJ+sJg/5gHb77V4mJc69GQ6PTo329h//JXGJRno6RZ+dLPLrQt3GolMbe9zLIjYvQjwUztXmNE/JMf4eazKXZPheglZKx+yoYn2wshELzmYx6SFV5TyMdGJEKUA8XRYXo48NCxEEki95eUc6/RwA3JtykGO8s4k24aFnrnp0C4TxkGSfmhPBVgNMI5suo95o3ofqLZHUr4s7OZ8JUiUOTJYjd2gU3hUZqqyejGqUUnrOUIUH0NvB+bAIB7onP0SVFvgRDZcAH0UBkGKgm6d9VnbrEYRxhVSRkxQBMnCVELUhjY6QRhs4Hvh2TFDlEzKKcBeSZ/ZhG9ZWNWFTBN+47qINYl1h8WWH8KmI93eHKyhrMBv3z5CMO6QHnl4Avg8/kFns0e8Pz8Eq5xtAKWBjaof8hmJIpmeykShXSriHh6vzLy1ijgKAd9shkWlL095SFfrNk05xsiVsPUiHsgkYBsH6VxN4ncDANk+vDZ1YKkkA3e0WImy0hj0F5MUrKR5gAkklBECgMBQGvbAIlCZPUfLclDvuScLN8hkRi0iwjlaIag+khJy01wCuTNd3MkRYEGjtiB88b2vQ7f/eg1Wp/h9f0c5Xc7tH2G/X2N6hvCFHaYYvJ8Lw8G4WUMAzvi7Y6HhpKE9G0upoiZhTl0ZNYaw402L+AezRCnNdx1njT/KVzoqEhIRYBzzPPWA1D9GJxF7DHK43T9qBJD8wEOB/EICGPncMSGT4EYxvJaHAOPcPSA62saY5i+BYhGtiESZM1o89l3fL2DEEuyjNW+sXDzKULb8udLuEjY7WgWJM5cyjkIAsNZdfBSVrrK3rrR8COFKIXIwA4gdWyw1FBrloFGJrvzM45D9oSEzXuPAS9pkOJLng7dIgf2GA2HZlMmtmlGhBz8puZBjj03JvVZMDmVIvH+Afj4feBlTAzumFtuAJZE2W5hsH82QW2fwg3Df5cAKV/5X/0Gs49/gM2HJhljNWcG/SzHUF0gOpM8DHbPHCavLCYzPlNWDg7/gkWGnUxgM4fyxdV44PcD4npDG9a+R3x0BivwrVnMkO0GlHc59k+MsNwlXXMYPTmGmqiGCZLwuWSBjcguR8eDGjxiRcVD2S7HC8OU+0PISAK0g44QqQJQ6WHxEHH68x3sj39Ntrs+u3qQ63hGZuImy4DVkg2N5HbEtk1ciuQuB8B99gk2PzzH9qlDc47UQUULmN2IaKYoc0EzdR8sxQtBZYFeYF8GnwHdB6ewX37NZ6ao+Fz6yCK8Fae+PIMJBcx0grAFiYCTmmOdFFfO8VPsO6J9ywWh9q4fGfWG3Bo7n6X8ERgzIliyT8QQpfiRwB0JxErIX0ticrh/GLk8igIrQin2uLyRVop+1Wm70e73iHlv8ky8Q6QwlVwA/SzVCtk4m4jGfD2T9qHQtkBHpFpRFQQPU02oVFBEUNwJY9fz31qSsU2ekQ8AkiVNTf6RmU3hqwJ4egZ3s+FeUuTYfbzEzR97/O3f/zXer+/wX331A+xfzFDcOsRJ5Jh5EnC3mSC3NLcKShJt3h1Xdws50xyfEx155Qce7CEHzJ4Nr7rcGuG8ZRskTX95F8X6d0TiFFEwQTl5MRFso6pnvDTVMjYPmUFmz05ZGd/ckSySF4wS/a2uxM3n2JzlCDIHURhDLVCV+BO0mz9yVRvETQwYD/sEl8kczbZAd8IF6MJIAtJEMhOkMBC9sm6MUZADK2fa4dKg+ajF48f3eLleoPl8iWxvcH/mMX1vg//i936C1R/t8W9vPsKXP3+Ci383x/mb+xTgg7NVYsoi2/OwCIEdnvfA7UOK24ySfa1JgO7slGYYh4ajAunG47TmAjo/hfmoRnQGpvcwhw5Zf5IWacz4/abtYNuO3ARrU2IVcwkORyQ9nyDAY8MOhdmMs4QYQyR7fBg4bpjUZCJvtzIXJeEncQrkz0yRp2IiJWypXakx0HEBmbkZrDWI8p7DgVCcXcx4OAuJCQDMdC6OZZTpWGOAo85bJVJ8k3KfT1ck5TkH6z3Rg8zBNB3ignIeAIQk5xOY3iOWBcKzM5g+AM4gZlM+684i//Ya/uotWcRlybQ86Z7Q9fQoaFryIwIRGDObsbhoOd6w0wXJWtaR5yGzVjOpYQ4tii/22Lz/PvaPrMzBI0KWIdoJZu1T4K9+frTJjYiGv3/A+f/jl+j/F9/D/gnb32zPjnv5598idj3mHz5CFHQu+/YtiVs5eR3qsx69h9/ukEkGhJtNiXKcroC70TQp/ISKA5NliEWO7HYH11WiqDGwnRHWcUTW0OY05JzNuRaIwo7OdyxyAiTAS4y97LtbCfeTRoqJgjC7GUhyChnlmNECJ597LP/9S0D8D8LRnqRqkCjhLrEnQ1wDrbxIKKP3ifSqUlEtHNyzJ3j40Tl2j11CNkfDMm7Ueq1K4IoOyc99qLkO8p34lQjpM9tFBEer58N5gZlA2HEYYHcH7gdWRq+dB/IMYbvmsy2wNYCU13Fs8asjMn93J9wUIQEr2mXYzZqqlGyAboy9VWvutHeQi3QMnUcJ/dKmgHuYHX8+cCQ7pocIpYA8lKMPYiMceV3iZBoEqjcZ10dytnSOBUlPl8YYI4vYYxmzygedG8ewXY84NGOol/DW6A1SsTAQtVFSVWWai0IzKOR83k0/ICynsLsGZrMjAXi/Bz77EFd/nOEf/8l/wu9OX+L//NXfQvObOcq1FYKeQSgjYhVQlz2siWl0pV4BKVHTcB34AinILsylqJIReHARZT8i6RHjayk5lqmTSAVne4LEwaMEl90+zbzYbFd3ET6XD96wOLV9hAsRGbqe3aGwyONmI3CsmN8o1LJcoF0KDCi6wjQHrJglr/7FxUNEP2P1keb3cjOOZx4aomEHwmWqte2WSDBczAmd+Bro5hH5hpW16wGISsC1SPHB0UWgs9g2Jba3E+SBm1V57dDslvivd9/HP/j0c/xPnvwYf/TJ/x3/24/+57hv38PqL17Tb31/ACpKtpJOfhh4GOc54kwIcXdrEtqahv7UXcfgDtEYw3Pe73cHWCmoTFnADqym43Y3LgIh4CgsnnT/ctib+QzJuXC15MYBEGUoCy7MrqdcT7/EL+AYvUh8D2NgfIArCyIfAAuNozxxUxTAUadsNaDHGGS6wJyDLWjaY6zlfYuRIT7np4gSaGSfPGJBBaRCKj6+oNymLgnHGcMO3Vr+PzDSONYFxzQxwjRd+t5Y5AgzRh9j8AjzCqFwsO0A0zLj27Qd+otzIAL53YEPfucptzlbwNYlcH3H65Jix8ymCdUxJyuSY/VeZrRmxsUpss0esWngLi5I1OsHMvGnU26IZYHtH5zS2a4en/tuwSp++8kCM/MDmBdvSTj8LSTA39zi/Md7vJ5O0K0o4ynXfuQOvH0LHZV4axhQtdkgtH1CX5IUartj97eYwz9/wfn4dz+A/eIFiZ9iCBOHgeONkyVNRDqTSG6EKhnpG3KgkhSykLPot704jglkTxMSqI08x35TzkXVSthEjIRfMQZjFkDE4tcb4Ce/xiCd+zu+F2UJe7KiyyQwKlGKnKiTeBxwbdmRMKqkVRnthOWUBYfwhdQ6dZCxYraHdFsMK9PN/BjpCBn3LtWHmwEJ4XQHg4dPHPJ/9Hso/uu/kDHgAaYs4C9XcM/7d6KIY9cJH0dIrqKNV4MfzbdH35PwWJVwFU2e1PMBCCzK82xMqZSZeOIWWSp5NFckIW9tixhNctKLMcJ4PyIJupeIo6KphUAcorw+9f2qJAptDyuyPSvjgdC2VJslS3GL7PKEhkdqbCa8Gx0DmkCEVH1VyP6fca8+Ggu4omBOiJC1KWEPad/SsCzUFaIGGnnP5leyXSIgGQcF1t+ZI//DO/zj1U/xf3r1d3HzqzNUN3SjHAoZq+SAaSyqokeV9QnSZyYNUWoAyU0TMtoi6V3us5MGNjcpBVc9bFQFkM7cA8jFseMzlzW0oc72SIF65KtwFqUKBIAeAqpUCBkYB8zOhQeBmU1hvMCyXkhu1iHOJ4TYRe+rWcdMOopM7St5QdZHErgsZTPRCtzXc6amen2AbzwUR3CGPKNqipA82CNQ3fCNDxMwG6iTwsLy710HuLcG7bnBrGrR1AWiyeHrCFNG5FsLfF7jn+2/j88/vMDf/e7n+N9//5/gf/OP/1eI5jFW/58NrSq958M/Y3ywFgCx64A+Bx62QOYQtjuB6wouWO9T8WSchZnyXnrxDbDLBeLukLIHUviOzoGdgzmw2/Unc7i39wi3dwhX1+wYZFNw52cks1nLarvrU2qYboj27FSQjA2r6tWSh7RuLADnXuJTYAASBpMhR0/JXJ6PBEGRypnHF/xZxqSxSVzNuRGouY9ziSynM/o4qRCtpaxwS9Kc2Td8L85Rr6yypxABZ2EPVUJakDlW57sdzHoDN6kRFzOYpoW9uYNdLUi21LGNDyhermH6AfFhjUyKDyMyMXOyoutZWXBD8D7xCLSoQua4Ydw9kFQ1nQDX9ywG5D3ZzQamrjA8PcX60ymaU4vqJsD1EYuvByy+iuhnDs2pRbcgoaefGpg4wxRA5mwKMTr+yv7qC5Tf/1005+xIXfMu98FdXrCQ3O0oJ5PuSee/SkZFz2dtePES2fvvYfj2ObJXt8Bsiqwq2Xn5wLnpzS2yqkJ947F7kmGYsH0JOVDec/0iCPO/YNGttr3lnhyc5oIa5/KeKIASeXXWr1nnAGjAVAOLrz0mL/ZMYby6GSNwrRMprhTAonkPd/cw0wkPGFGPuLMTrgnxmTd5JryV/Tue+ABRMtP07wQ9qYFRik61QHvGPc/JPmVFfx3lfSv5UWezoUAqmDT69c1/VuD9ux8B/+6vCelnGXAyRZxPEV+9ZrOl2fPip5+4LlFUSn0PTcB7B3ovchrp6Jd8v5rYqGV4POLHcMRIqawieLYs0wzdiLMfAClYOB6wdTlmj4hPwchBCAmRBJDCxpSkHFO6bMSxhbFxNu0vKgE8zghQ5NPWNUPUDg3CnoWNnU4TWhGP+FNpHcXR+8HOZzBPHyFa7iPoB+DtLRui9x4Db++gEKVxHmY5x8MnDv/Tj36CJua42s3kGYnCCTEyGgqIdYAzES/XC0QXR6daOfzVzjcIzG+F/Kdotj4z1e0YOJVv5Zwrx+/31RGS3rEp0C8nCHi3RFLf5NuYUgFNiIiZkec7pgY70840TioaociN1HQnZVSGaQlfI2kTk2PYzMjCRprN9zVn8SbyooeKC4sLn/M9O/DP1LhHK/BhwtcJpSQkCfymXtwhP5qjVCM8p4WBawHbWSzLBnfZBEMWxTnMwBf8df1tjm/dGf6Pi/8c/+vLf43/8e//Nf7Zl3+M1Y9PScZr23SYxr5nASBBFmZ3ADIH//aa1XiRMyK3GB88UxSU4z05BR6fwP70C4SmSS5stq648GTzNWJmEe4fEAE4H2C30v0XeZLhaS7A8OIlZ/6PLvl3WTayxIWMh44bRuj6ZAEc9rsU4BGbll2E6nWl69YCBgCMOCZC8gFijCyCvqCzlikKIhbDAHO/4UblPe/Zbs+Ff2gAYTcbAOHmFl6hurpOBQmJO1vJ9pZKv/MIbZdcADUtTTfAcH0DOwys2vcHSodi5GZpHeewz1+k59idgCMC6YyCuECaquT3Nw3lj8sFN6oYknwTztLdUNQTYdNRuXFzS7YwANsO8LlBeRew/PUO7tUt/Ntr2NUS9ekSxbMF9o9yDBNNx3SIdo5qWSK7P4X99TdpPg0AYbPB4useuycFujmw/ijH5H/2J3BNQL4b4H781RjNak0iWrolRxOpk3LlyOWRGW5sx7WOPINRq+AYeXiolPcgs30x2jKBNsddb1DeA6jYARcbdib9jKxnGqIIAuiRAn9cw/Wfb6MggRGP/t0G+MtfIIYIDwDBc5wWYnKuVBg6cVaU1W0MD6uuJxnMGI4KhM8Sd7vRjOZIbmvqGv50yk02Hw9rdWvjHgRCp2Ajk6957er1roUPoiiRPFIQjKKU7kCl0ts/muHx9rvwP/sVi6xpjTip4B5dUrcvvgwaqav7CZU2OQ9QIS2a+QzGM6Y9kXv1fUlgWSoSVFasiqEo1toya4dzlHnL90LWkhYMdrWEcRa+Y56C+mgokpLMxM4ugOCZ7qde/W1LIl5VChfJjNHF6pNiTJL5qRGRKmv4fvIkbwW4PlXNYZxLvhhQJYN6qgAsWhYzmMUc0VnEacXkv26AGTyVAWWOUOdw05rcKEGJ/MUS2+/2+H79Em+HOe63NVxjePBnLMiHCnCdgZ32aIcMm7sJynvLc1FQPzsgKUWAkbMWHVImgBpi9VMknwD1uVHOie1jGvmZIaZiRflxIQOyXkiAgWsRexYBytWxkl+gaGTIDEmAZj4j9yWEsWL0Hohjp3H9fZYmai4QHGDBqv63M4d11hByHv7DlKEF6qvOysQkb4BuoVwBJGZw8IT6+3lEvhW/ZDnwNbRFNZT9gjcx34jUojW42U/x4dkdPj/kKL4uR1ilE5iycfjV3SX+5eR7+IfLn+Of/eFn6P6bOYqrG9paiuGGqSuEtzeikKBREsRWMhwOyeM+DiZ5rceuQ5zUcG8feCierGB2+9FIpmm5+EJI3XjcbOSgDmSm3z/Aq4Ul2gTnJ92yyAnj2QJ+uoLbLQAv8/oYYTZ7hBvafdrLc8Q8g7nqeACKLEhfx5ysCK0/bOiOFcSPHxD0Q/gH0qFbRUbUDXEyQTiZwT7sENYbblrTCf8eoPf3fg/rqRe24tCXnL2CmBuJmc8xoUg3JyP3WxnfaiKkYR5GYnTpF1DwPT9w5ptiU3f7ZDriVkv4hzXCbgdXMXwprKmh9je3SBbLvknERgReVxjESlmKRfq5HxB/9gXOvxRTLelsYtvCv7mCW8xQ3LfolhlCzsK2WxoMtYPtaDQyLT+B+/w5kydlblzctcgaFiGHC4PtexYmWrgmx8n5d7H8j6+B+4dEKNS8CEasmkQsdRVdJ4c3b3nt8xn8y9e8n+enwM1dkn2aScX1mZGLA8iGZsbOhcU9D0iVxHkhxikTPtuz9e+nSF7oriVCWGwCFp9vEH/+Ba9RMi7IZQmUhYojXYqADR7q2BckMCmhaMFz1nwE96t0Lh2Q+tmfnyE+u8T+SZ3CxdSMxdda+EQ0ctgD7Myyw7h56iZ97HuiMG+a25qRANbPDV79g3M8thbhZ5/zsBGFgDs5SVLjtLaV2yNza3V8DLsdi30g7R3HBje/XejwGzjiUfKsqWsh2o33RjkVoXnX1Mzf3HJ8VBTcE4zhs951yfeE3KT9aLMtXzraMFnG51M4DPQXyccAHylOGE0fOF4EoEojO59TMeEDjKAMwQ9w08k4umhbHvjTKezFGWKRc8ZvDFHGzQ52x/EukUiDuJwhzMSfZcoU13h7BxiL9rSEmwyoTI//uP4A/Ysp6q2gV/K890ueg84FnNZ7XDcrWI2v1y/hjiifRBtonlOyVhxYKMdRTqr2wdkeyUTPdjH5bZgIdEKW13WlplQwJB1rQqE7OvhtzxFAqI2MAJxorQefZkP6AKRKbz5Bc2qS9aZCEtrV075Q7DIzLqRuIge8OAZS5sfZX8j5gDZnEdOXtAYd6nEhKTGQB7rM/A+EIIOQGdRwA5BC4IhoYTvg0OVYrg7IK8Y4ZjubIBcAmHzr8CY7Qf/UYW4P+OT8Bm8/+AhnPyGBzUwmhHxDIPS0P4xw17ZLrGIIyz7u94TOxIozNg3C9a2Qx6YCe3H+rvpxI5CePvixH9jZtB03OudSV2Akfc8UBZzC1W0L8+IKeZ6L+xUPZX86o4PYFTOzzf2aC0stSUWap2zfmDmE5QT2gZU4CUuUgqKXoiLPYC3lNWG7Hbt0YxFnNYZljcxaLrbAuXlcb1hQ1qyuw6GBteRWBJkDRojEZ71m4bFa8l4dmnS9brVi4SK2rsY5IhBTSQqsS+B+za5GzE1IoiTUmPTIYoVMsxFyJ0xe0FyouWfXs1jAnZyM45wjTwZ20xaxl3s3m8LK6+qa8UMPl2csAlZz4PqaJMv1Fq4fUE9zZIcMwWUsZmuDw7mQs55NMI3vIXtZA9ZieP4C7nqN6cspNh9YOXhkbpgB648c5r+s37m+0LRkh0un5T58n6SzqxvYkxqm7xE2W/jnr3jYz6bAegvMpnAVPR78i1cov3OJfM0qv59JF2PpWa7wpy9GJz9F51zLzccXhghA4CggiP3o9PWArPEof/ES/vZO0i/JTsdOte+WLotSyCQ3Tjk4wmYzksPUO14KJrdawq9pdRti4HvsucnbugKePUL7dIGHjwo0F0Zm9keHupD7fGXeyWYPOdAV3JO0CBjq8dBnEimS1hrg5qybdT+nj8LNn5zgvP8Y/ouv4CY1ho8fw1cZsm0H+7CH6fo01otS8Pv7eyh50Z2dJudRO5+zCFCl0PHBrwQ477lGPZJ8GH3PkYpzKc5bO3mVBSY5rjWAoYLI3z2kYsDN5wn905/hJF43bMd5PoaBBFshCqvxmhIC1dcgHA7wD2uiBWpmJWdR2O0pz5NRw7EjqJ1MeMhPJyn4KE6FaN0O5F8J38rWFeIlSdemBUzTwsXIccDtPaKSDa1FyC0m0x08DBqfo7y1qN5GtGcG3VK6eAD+pMf5fI+HtoLb2ZQTof44oRjHXVpMRjeSTEPOtZWIfL125zSSssLs19EZH+QoiYQY3XX18Icg80e8PF+zgTaBhz8sUiRwplpooB214MYCoUOUgXyYFMl7O2SAyfjDKdGTMI+WYSEhB3JEZDsmJXVzqagFWusWnPnZDijvBTLciOGIknH0oDb8d74Y3QStR2LhuhZoTyTicK1pgIRl+t6RlRkBd+Dm6QaTKnMAsDuHv7x/D386+xw/XL7Cf3X+MXBxCgfAZA7x+o51hc7D1PhFDm6UJbCa0x9hksPtOqDh3NgMAytQsIpO7lwxwNUrdsghJhOK2Im97/4wwoGCxlCr6o9YubQK1SyAGCLhcZmz2TthGcvBDSARC00mUhydu/UD4ss3cJsZHdV0EwASG5lmP6zus8ePaGCy38OGgPijzzDMchRXO4RffYmgbnmnK6CuyPAHORtxszny5h7Dgfx2B3eyZOe/2RCi9B5uMUNsbOJkqN9/DB6IMrqYT2HvN2T4bncIbUuiT5EDTTumqqnMcDLhISmWsHHoEfYhzYxj06QUR80N0DGJWh3rVzw0o1QzdTE571uIMJMa2eNHiCcLmLs14nYHt52jm+coNxH9xKQZnR2IijXnFfLqEdyhR+YsorOobjz6qaEsT6R10QHtKsLPy6SuULZ72GxSWiB8gLl9gN9sOec9NDBFDnuyGiHlQpQ/+wNHSnuH6qsbTC8fY/eEDmjBRZT39BPvF0QGXDOuVz1AnQSC2YEBJlnH9Tl/M2D61Rbm29ckmxp6TSiPRmFqACnsic9nB1tV5M9InoaqXtgdUymDEBB7AOI4mbrRizP4312gPStgu4jmzKFdWHQr4S3cAWiOUIuD7lPcUM0AFA05TMdkKtdFiW41aQMfJoT9FdY9HpWWWxZDuycGwz+8wOI7Jwi5QXnfo/z6hlkOkxJhViM+WsF2HmZ7gGk6OFFzxLalLbXcp1QIZdk73BCu8ZpkQemwdX+IbUsYXP33JVvESAKfkcIhGYrJ869usIpEKCdJTcXUBTN6SpRNcRQ01rZcX3DvSIIjADedwC7mjCOXFFNmXeygREBb87VtXrNYFJkk6oos/hBIKL4XU6VM7M2NQaxKmMGTm1SWMENAqDJgVsPsGuDqNrmSwnPfNUUO13js9yW+7s7x7WaFYUJ5OQm9EX0N+HlAtWzxeLrBt+sligdLEukRfy0I8pyQpDlEGi/dO5A0+e4wHuKuJXpuHX+tUb70AzApB0DPMhoVKfxPBGuYmDGJEEholVcUIURkCIHuVPsDP0iZ1yij1i0WuP90lswwVPuvVbDtuNBDRgavdvBWK2shG/hiTAwrb4gUqEEBA4BIDglO4I+BNySUSKxJc7T5xQgEIzMYnalIR5LtgMO6xGmxx9/64Bv8m+FjZF9XIqVgsWEGoHiw+Or2FD87f4a5a9CeRcQiI7u0DIRQZ1PqdWdTHtrW0m3u9RtCxn0H60/QXp5j+36N6m5A+VrgLmHXZou5zOKO3KyE5Ba7mFjK6ZAS9z0r6IOSfxRdgMB2x+5YJstETrRjR2AtmeHWCB9AktACyXHGGEA8+tlJiQufsdQRb3dJGuSky7WLBeJyDjMMcJMaeHSOGCPKz99gePk6HUIpHGl/YOGRZ6MhiCUkbeezVPnbIwOT5Fo2mcDM54R71xveg6oE5Pw1ZcnF3fWUs/V9YgLz57AN8+s1jXqEmIm8gFWZYhghVwAwjpCr325TwImmGSpvIMGe8vpR7GVj0zDDXdjW/v6eTm2PzrH+/glgTpI51u6x47x8KpW7BRBotuMLg27pkO9ymMsa+WYALGV15e0YRAMDGGfoSaGPlAa4ZFlCeIbnL9IzkqKmpTOMPsDMJpSfNi0/N9GSY39Avg3whUXIadyjeuPiQZz7xP0z2yNZ9vqCj5FuPsVVxOqn98CvvpKZrx1tstdrdrHWCMplxFp6ILom1xx9gBVC6cgQzzgqETMaALSqjhHhex9hmOYYJg7NyqFdCf/gIN2UdO7qVaD7lZKJlYgFgfBDIFw7TIla5luDfmYS1O8rCf4RVYQJghoktjc36kE27fbEYI0MJ593KH7zls/upIbZHGhwI0Q5M58hnC+BswXcvoXZN2Nsu0L9ap999BWHAVH4AfTg96OFNzgeSSOHGBG9k/2hTq+ZYnDFM4D/0MCtVuKQueV+Ym2K5Y4+AL5NZ0jQdD/dr4JHLPJE3AsSP68jPJNJAXhxhkR+lJ8bq1zgfGW79VQWifRWEwdJCOzEpIvSR7/fy2irZiOxPlDtkmUwkwqxEZ+AsgAeuKaz/YDQO0xsB2tikqH7OmKouR4QgUfLDaqsx93dDFMx71Hmvj5X6mcTLWDEyK6fI4X66BgcFbckfYYANsCMEZYGd2CzbRoqA2wvdZkqUiY6qjOS1guxGOZIoFuy0aZToEFGhymxhrVSNR15NsePnmLzviUkv+WNQBgXkNplIhq5IIFnBJJI3sM6ZxvUWUzhDpPQhehYnSi7NpTipiU3SuH/mEXEwA+AGQQj9J9QioPFfVfjSfUAl3l0Jx6mt3CNwVDHBMt0+wJLdwDcQT4kS5auzMrCyZwPXYxoPjxBt8qw+Pk94vMX3ESLAvHtDcpZhf3lCnefFZisVlg2PcxmR5gMIBzetsk/22o1vZgDRcFUryPdbRTPezefY/P3P8P2qcPqix71n/8qHUbHX0H8z40xoye8+G3HQ5OCa0zFjlE3WkUIvMTqutMVr1fc8Y6lgOHujuY9ziK+9wjN4ymKeyZnacQxIcmeMaMx0Idf3ch0M2pb8iIWc2TTCe/RocHwSooIQQjC/QMjh2XDgsQTx66DefoI+09PUH+9GX3xZ1PyWYqcKEyMwP39+N5XS5iJkBa7HjH4lJ6mKoyoHgjqd6C6ZJEx6eGvHuK25j1W3XLYMyPAZCRb4s01ivcWGGqL9YdZmpuHMqZnNboo82Um4eUboJs6+NKg2GTjMz0AeS9a+5ze4u7Qj9bQAHkoQhBLXeGxayKEV2GMRCZv+Zw/PYe533JsBQDOId8OsEMG25pE0s13sua7o/Um/6l+uZ+zezn7mcfi33yF4fUbwBgmR2oEtkrxlMim5K2BJDiUZeJixL4b5Y9KZvOSjFeWiE/O4Sc5mosSMMDu0iXHQpixAxqmAKJJjn0A95dMisoo7yEUhOwRx0Oei4YjGNcAmgegUcFeGhUzjLPb2I1qKR1Pqp67uouovniL4dvnPFjPToHTFT+TwwH+9h7mYQ3XniPOp0QTV2wk0PWkWW33wKTmwXl7z7ebZQmho6mYE7fRDCr11INfv9R059j3I32PFFtRSLGq1Ufw7xBWEyIpkelqwOMWC5iTJaJ4p+jBbvsBth+opprXbLwA2F0L04oMODcpodM8yHW15DHFsuRek0eYyQT+fAk7l3EWIGuyhclz2Jxj1uFigX5VIl93yLoecb3l+xoGxBi4XzjLMayzsG8L/HL/GCfVAW8qQakL8tn8JKB6vMMH81v85uEc+Tclsv3o6KdjIRgpKOV2hzIi249W08AoZc9EMeerce5PlU0UfgqbhDxEQNaaiQD8UdPcikeOlTPY89/rayEKSVe4ABwBHBtPHDFoYQyap/O0uM1AiEvtDE0Aii09iWMxXhCrJUJjClG4btzE1AQIcbwxWjU5ne1nhBiV3KAug4zhFFjZjfBJyNhI6YIsbx2+2ZzgT1e/wfeeXOGv1+8jezDwZUTMImxvUd4bbE9yOARsQgV3MLA7mT23BvZkycP/5g6mqlD/8g1qIHWGZrlIC868fIvTdsDhoxV2T3Lc/q0LTF+uUL5acy4usDY3NLpw2dMVzWyUSHd7h6AJczUPkdg0qN62KB4cql+9xrDepr9HkbNTVza3zvZAdCBuNjBzIhdOLZ2zjJ23FCK8Fjpy2bJkLrp2IFPpIGKkRejhIKEpOezrG9S7hlW6EH2iD1y4QJpJqwmQwnkAO9C427MiX80JvfU9OznPABCTuoYIW2bjzLfrAJmpT3/Sy8YtG0+MhAG7Dvb0BLEqYGczsvoBxL4noTPLeP9m09Q1QHIHYt+RVCVyUJ072yl1q6o519ASI1JIO52O+ekF+QVEGSLqn74ErEV5c47mosT2icPhMddAdW0kLZCHjhYBGoc7TExiBBcPlCAZKazbE8A0QyoA3GrF9Rtjio31D2u40xX89U3iNvjtTnLTC8T1BmF/oInTdkdkZhiobpm6xIrPDjTrUWMv2vTymbIDGf1edMyuBU5+NWDyT3+MoWnGkdKxtn0yeacr5XbDGNk4DCmMidpyMxYNkRa27r0nuP/PnlBx5LkHKeo4uhbK7DRwL9EQFs1ZzzrewxTiU46Of/mahcIg0ma3BYxIA1XSbLsRddQiQQ3MaGdOzgRNXtLbRHkLzL/cYfhG0JkYk8V09v5TmNkUdk+jrOH1G7hmRZSkaVkgNA3vVZ7ROa4qgcUcscwpsz1dcrYNwK7FF6EsZbw1EDrfH0Z1jXCL4jCMxDxD/kzyh5DzAHlOQykxx4ptlxj+fOACzGqBsJzyQN0JcTpz9NQIgYE7bUeFhg8wazqmxs0WUZHJ6YS8tGFIBY0TRDPGCNN3bGAmE67zlg1X0DFW25HUlySBEdm3b+FuaxgfEN7ekDS4WgLnJyw0jEkpoe7Qo7ivcd/X+HT+Fj87e4q4LZMKIFYB3714i1nW4epujkL8aUwc5/H5jmelr1g0WA+gMch2gmKXfHbcIaJbEdYvHkTeZ4g6wXBEmMcI2xH2di3/rJ8jWeMjYpThKyKeAVbOWXrkAOpDEEqi8VmcVDDbDNbngC3fyW/OHl1ifeqQyH4F5JRldREMNwGVOuTbmA50nZ+FCdLGYQagWxnMngfsHls46fJJWuAiVb1kYtI6JN8ANVcAkCQWdONCCj1QbkLxALz45gyfn1/ij1ff4DfnZ+huFqje2hRTPNRAeXrA9TDHP/n291HeAWbfcEFMaqDpCI33A6LtCZcqHD2fkxx4ew8jJhPm/gH1zRL577yPh09qPHxcYFatUL3awzYtrC9THjj6nnbDAzti9aQ34kyHuoLNMyDLULy8JynuYc1ZW54T3kLOAzhytmeqigehHNqmrtF8fAbjI8pfvEjJYLFnUl8QlYGZzcfxxBEzN3a9jAryUV7lHOAdwvUNcH2TJHOh63nf6gpByISIkRuLdtEgUhH7jojHdge7mCJMK+BLmne41YoHsaYohjhGDBcFRwMA/NsbKOvdnq6ooxeiT9jtEPZ7ZE+fsJqvKTcyu8jUMHnGlWwUuw7u4iyxj8N+P8Y/68EVyKJOkatXbwEJOVEWtskL2OWKm9Y9Rw9+vYZ/c4U4DMjeXqP4uz8EnjmUdyYt3vaUz3O+4Sbq64hsZ9JzroQzI6gXgowBIhDzo5NFOn93cpLuhSkK4fgAcBZwFu7iDDhdIr6+5ly0rmimtN0h9gOyRxcI8xrZzsM1GbqVwQCTcjp0/pgFjv2iIenIy4Z2+e821Lzrwa5Jc4mhbzl7VnmYQr3W8p7J9aq1tV0tiQxITKx7fIndDy7x8AmNTiZvkHLQgzPjYW+p4VeFkaIYAIQchZRAGvKxEzNy/rlWoFkj0KpFIirrV8gAZ0ZbY7Uw9xXIc2g4OzYeSUFx9rMG9idfICgqIwetk0AwUxTkPHiSJJPBl0pVt+RzRJFH2mnNw1ANg7oepiwEXcz5nAIwWgg7C7NaINs3nG+UBf8scySKHSN2AGKZQ+17kTnuUw35YmZBEvFwPoOvMlRfXpNLst0TmYiR0HrTUaUhz5giUimgSJUFRUHGv7PcE6WBcGenJPxOayIHXc/Xbzvx6Bgth9NeWuQJ5YwSEBVfXYnZT8exQFmM3h99DwxS1B56lHfAX715hn/8wS/w4bNrfHP3BNneYJgEvP/hNf5w9S3+9fV3YD+fjKm0KkrJACMKGdXrB2mIY8bnDzw+4ctx7Qy1QP1Bzlsl0YocNeTk0SlJPop80ETA7UfUId+Or68IlD7/Op4wPiIzOzHNqMpRkqZGDIsZmhM7Wvtag+AoKTACLaRZh3TqrgEdv7RKlpGNjgNcy6o85ECXS2cjueG+5sLJdmPHHw1QbAEv8JkvZS4iczat+lWba3vZLD0w+3WOf3b+XfwvP/0LfHp2jb86nQAxS1WaicDQ5Pgn3/4+3nx7gmffesS6RLy7R7i548YDAJdn/P8gRhchEg6X+VaapYUIf3uP7GcBZ1cn6J8u8fBRhe3TBVarEuXXtzC9JOyppn27p8xHrHKTHa0c6DFGxM2OMhuxzjVlwdmXdv5S7ScrzIwhHqYs0C0yhAwofh7HZDuAxCdZNEHCbZLtryAMoW0Rui75qx8TGYP4fANIpi1ht4O1lmzbPEPY77mZqzzt2E3M0vbU7BuYb14CVQlbCsQZhRDplXHlxF9gJOHZIkdouSmZ6QRWxhyYz2jj2w80SBEXsriY0rRnNk1GMXHoR8/xtuXnMp8hbLZwTx+n9DB/9ZabqjXw6zWy+YxsbCma7NkJ4vOXZJ4/bOAuz+kXoY++dlDWovzmFif2FMPMoVm61K3SQIvP7+ECYwSuIGrZQZCwgmti8jqiXxjsPp5h/pJacr9e8zARtYrOQBOhbrtjQbTZUke+38t4Q4Kdnj1B3Ozg314jfPQItvUjlAk5LAukdE+A6h8Ii768i7j8F6/hf/0l/zJJKY/CoWbTJFmM/ZDiWlVC69XQKsa0tsL7j3H/wzl/VhyjUes3nGtmDRM+QzYy84/n+TquVBLVMCMMGgVmVZheofy0X2EkIR9bvAJAzMcxZZQmU1naIece5mveH71fdg/U1wHFX34BfzhQuSCfkcnL5PipYTxG0BL/+oqo24XsQ5JeqesxSPgY7b/dO1I8NJyz89cNkTdlzFsD9OM4wOwbaRB6OoTGSJSr6znC1EO1aYk0GEOiaYjIrmpkeTGOJ4UkaOoaVn1mvAfCdnw2yhLm0TnCagp3vUa8tzBHNsPx0IwW50LqS+sqBGAA/N29yApjSgZ0lxd8DSU1StppzDIiX1UFnJ4Q+VZUti5hesdmr2ng5yXyXcT+z0/wf7v7IyxO9lh8co9ucChsRO48/ssvfx+7z1eYX5HsrqPrrMU44jaAknSyPdevHv62H8+vxJ2L4+toEF4/N6PhnSFioK6aqmpzoljJDnzmtahlASI/b5A6LuqowSDTGEn1DzdZlqqz4WxG9qsdFwXn8TG9qeSeFHmIw8TRnlfIDJp8BINkn2lkFqGvr4zGfI13N52BZCMtOkI+zu2icOKKB940TetKBUsG9P9pif9L/BP8nWdf48OP3+Jrdw70FvmDgy8ipvMGu7ZAcZ3BqN2ucwieJDGaSDhWxT6MRCTpkO3FGcLtPatX2UgBIHz5DfLrOer5Z7j+UYbDRYXJR08wufao3hyoGBDTD53TQ12z1MVLbDZj0ySiIIAxulM8CgC8o8kNh4Ywb9ti8Rcv4B+fsDuQWTBzwQ/JBMff3L6TKhb7Dl48tm1dE/7OSBxjBS+bufAFbFUmXX7YbFjVBzmcnSP5R5K3VGZkRRqZnBfFuCils4lj3ztFzWoJxMDrnc1gIQVT16fxSrLt7UgKRFkiziacKwLAlEx5NXpKro9VlSBRUxSImy3CZgujjGn9GWC3ovfBPbrkTHO1pDzr0BBJiIH5COKzntCGN9eoygIYPCazEqHM8PYPpuiWkqcR6XhJmA/iF3B0UMnsL99HTN94tEuLwx9+iPKfPxAiDx7HCpBURElAS7i+4eYrh0toW9iy5IhAc+M//gDoBkRn0Z7S/nfyclT0lHcxjQGU+Lf42mP1F68xfPl1+nkMwMkBb8VJroKpa7gsY57CZsODTYouCPNc3fzc+RkOf/97ePt7eZI7IQD53qC6jrAe2D82aKIZiyMXgYN5x7BMQ3oA7jd6D2MGuJ0ikyMXwFeAkc1ZHdMAJLe/4/CyfE2of6gM4VU3vr4WDEYR0l3E6T/9DZ1Bi2J8v2rFu9lSWdQP8JsN3HIBs1zAWqp+0sxdWP1mUiMeGgndYVcLNfGqq7FxODQwsh5C08BVJcK0prTuzVtgTcQuCD9DR19xGGAXCyqi1IY4RHKMsgzRuaQ8gXOi4PFwqtjIMh7wsxr2fovY93RrzHMGox0a2C1RyDCbULqrR812l0ZGpqKxWTSWjH31R2hbOvxNJ4h3D1IIGahVuo7ikovkpELcBWBSE/GIMVmRm92BaIJyIKzI2HfA7GclDqcF8NEedd2haXN88xfPUF0bzJsxtVbRpH4mnbcg2en5US8a2YoSqiQQvja4yVfiiDPOszCKhT7J8ooqhQIw2xF9iJb7BoBRIgge+ADeMQTKVOZBqQalECYvYFdL7M5L/qBIuCAtiDBWwvk2oj0ZSYI6u9SFYP1IamBs8HhzQ4Ekl4nVeAMV5teQjfbEpDQjZVmawO9TUk03l8XZYZQhFQaTlxFts8Q//+Hv4MNn15if77C5naJfAnARu+dz1K8cJveA6wLJNAXnXAiRhh1394hZBlycArIx8RMkFKXEMTut4dfb5Mvt7+4w++kbGH+J/WWGbmHQeIdsV8Due9gDpSkQT/5w/8DgoaIYN/GqHPPqrSYF8jAyXU/5XIi8hpq7nEl+5zQWct9eIbYdssvzZE5jJxPYkxXniWVJSd16OxYRu10yJLGLucyK9yN0XpWpIEqmPNLhq96eT5vAiCJpTJpl7xE2+1ToqCtiDIQerTiOWbGojocDvQKA5GPum4as/zwjTLrbUUtcMggFEoKE+zWQ5+jfP4fbtQjPXwAiQzNVhXCyAHYHYLcXSNql2aEa/RjLjiV0PT9f65A9eUzNcZHD9DX8zW3qPpQkyNS3lp7mswvCkIOH2R1oX3xxisW3JdYmS3p07TidjLx03SEwEGj16w7l8wfEPEP3eyvUX96N8rDgEW7v6ay43bEYE/IlcpLsNI0yJS5q7vqCHAwMHu56jf33H2P/mHrkfsH1TFtTrse+5EG3+Cpg+S9+g+Ht23GzErkX+oGF3tDDb3q4Ik+GUu7khGzwzZZSU3WEO10hzJ/h/gcrjgrb9LJJcbD5QPYERUrATdR4zk/zDVLAj6Im6l2iG7COFqNF8gixPRBkH1K0Q0eTvkAKY9EGh6lto2HQMGHiaSgI6+qYZ/ZNwOqnD3T9M/TbjylkJySCMCxdMZVD4uZzmPkcVoyR4D3X6u5Ao6/ZLIU8GdmUo5AEAaJPtsh5sB0rfa7v4O/uqQISxMCengDOYvjmOQvoPAP6Dv5ul15LiwN7NJbQnwXn4BYlY4RPltwLnIPZ8nA1VcX00/2BBj+zKYuEzZ5JfgdRDYlc1yR5nkIrbCTQ9dw3vTRokwpm8PRHMYYW6NOaHASJG+e12nfzUgDO/vsBcd/QDOz1G0Tvkb9eoHxaoT0hD2by0sB9NYEJE1jlusjYyR0UDZcRnYyBYjaOtAEpnKcmody25/oJTp7X+qjgzNloGw8EM0rkgxv9dboFEkfHV0dIlx/P1piRPGgGXuMwIccoOxC9z+j0FEcXOzV2WM1xOHPciA5y2Mo83ldaHUW0SwvbRWTi0EfDD16cCYDzXBTFPRJ5wXUkx9iB1VJzblCskbS0duDN7QUdyOVmaTSnso3NgNEr+ah6yrcxkQo103z+lyXefP4M7VlA1hkUDwbzb/lgdDNef3HXjZCTsLujzqy6HnZ7QGglfcp7kvAGz+5vK4QW5xCP4HT/8jWq568wPT+Ff3aOUDBiOFYZsHNAFxBv7xB2B6IB1rKyHwZgxfhSu1rCYknI2Rp20CcrxPUG/o5ohFsu+G/6Phn82MWCs2vV7U8mnNlHsnTj4cC0wGGgZed0wgOwH9JcksljhNnsagl/fZPMV6wEJtHB0CXpKEJMna8Gs6jaQON1IaqB0PXkIUxqwp+7HRIJ1Rp2omrz6YOQdKgySM/slgd38j4vCm4kQmoNd3ck6X32CN1qjvLHQAr+cQ7mxRsMUrSZshQS4JaWujqvtFKoiE2pWy4QFzOEWQm7PiC8vSYMu9nCXp4TlgyeqIJI88LpHLAW3WmN8rVFuFjBhIB8O8C1jodGzkO+OWVXGzm1QrYDyoeI87/cwr28AQLth1c/BtEpPeTlYE8qHoGFo2j+7YS66xgCjVAeXxIKbVuEW0kEvb7lcwCy3lXBExxSuM9Q8QBcfRHY+R8f/lXFIk2sWrOPPgAe6LJI2VcJf3uHbDEnClCWqaiKf+8P8PIPJ4nbk+14BiisHkUmHMqI/HpEBZ1siFmDZOubNWxcdAafHbRhoZwya0bIP6WNyqapDUbIAL/iz1bHw34O9AWbDTULimH8dT83aWNuziImrw1O/ukXJDYeHcxRlQzGvkPK1ZFI2O3gX71mEf6Dz9BfTlH98hX81fWI1h0OCMMAt1qyELeGyJz3VBLkGQ8+cdtMI59hIITfNDDDQM7BtIZRc51hQDgc4LIsoQGaWUKvgFz2mw5hdxBSaUkWvbUIkwphVsDdbIH7Ncl5R2TQcJCfa80YPOYDDGhlHveHJAlWHw4Ao035pKb0tu954HfkapmTJd9v25EkOfjRBGyrBncuPd8ocsS7h/ReYCzcao5494Dp8wWa5ZR5ED2AVs6Ump+zB44k7yaZ7ABIBkDJuK4DouPsXmH6rBnR7n4OqBdAPwfsRuSBc3qE2J5kYduTJDjUSH44aRxXAnnL1z1WqISClxV7OUfdEToGY4EocyC1Zy0KtO+foJWM70yIPrQwjTCe1Y6JSFKDILp+nWloXnYoBN533DRsH1OXnmSCQmSwA+H8UPL1sj3QnEe4lq9rW4ze/8JoLDYjKpHQBMsbFzJWRnQp5A2ZPrcJrqFRg0G3NMh3EdnbDa1k5zNuiJrGJ1p8HhAFNISDMNuWB6ZY2vIBy0l0khm9XcyoFHhYI9P5nHPkAVjOvUzXjz/37p7V+J6dEsQREArnZoaVtDVEI3yQeF3OBe1kwhnwXqxv5bqSNKjIYbKIsN6OHb2ziUAG51JXERvabAaAcho1H9K5dskEwCDwX5o/5jnl7aIa0K+UDy78AaMIgeQA8DdBAkeIKLjzM+DshFGq6w1814+cAzlsYt+x240hJay5R5cMUgIA71H8h1+jeHIJL0jF8PW3OOYl6AYFDRNyTsyIRLImREcAhB2vb2GetzCX5/BtCzub8UBTEpJ1cCdLjizqGqb3gI0obg+ImcWwLDFMHQ5nGbMBosh4KpMgbzMAtmFXufp1A/uwx+GHT9HPHCYvD3BfvEIMHtnTJzwYfssbImw2RPTUn0FUAlgt4PKcXWHfMThovyd6dDhwVl+NyJvtuIkYD+yfUFa0+gV4+P/mKxx/mbo+QoAcA7CAIzY65a3D6zdjNO/ZKXZ/91Pc/CBjHoiJKB5GNYTmowOywQ2EQeHGg1pZ11E2ONcguY66jhufbtRZx/2mW4iyqEVicVvxH3EHwIEkTSVpscEA+snYdORbJKmhF06juiSe/zhg9a+/HgskLazBw8wsF4BzsIK8+au3QkJlQWtKjgfNmxuUktfhLs/lwOOBpcQ6u5ixm93uYCYTOFG5mPmMe4fY5QYxJgsyaoSx/Bn3a9HGTxDv7hKBV/k3SiqFcxJaFMQfZJbQx9h2RLi6HvZAG96osmYhfiKEZByUwsnEZRM5ET04K1r+INVVNvptKOoq3hBmz0YDWmDc3IE+CnOEu/vURJkiF6TbAHLoc4xykOjkPoUdxbZF9maB6r0a3cox8n5i3lF/KDLXLZCkn8fQ+1DxmUQ5zvpVMltsxmc6SepVAr+WZzdjsWH2PHdVigo978J4zuoaMR4JgQgyHlAunQmAbSL80iTkPFOJkDKfEWnHerjM0c9pv1vdxSQ7QDAwkZGdGv+rD7/6GqsrUSItSDVM8p0EBXn+nfpl55vxANcbE0qajiTmbo1EltDFptCdcgkYp2iSzj/FKgoTsthElPcBuydMZ1P70tmLjp2UhOWQhEO43RQFmayDJznGWoT1JjF2YQ0wiE9/zoPDGMOoToAPtwbyyCJE8MIan8uh41L8bzgcgOtAAk5JPX+sCqAqYJqOB1KWASdLxGkF0/awmz3M4ZDsOmHsGNShuQZSpPjbu6R1N0LWi/24OYVDI113Ps7WAaSAHHlP0Xtgv0/PjrqzARhthyeTlEceW5ExyazxuDDQ+eZx1sE7zmP9wLnxfk+uReD3mveeIM5qmG5A/PpFep04DBhevuKtFVe8eGjg+gFuPh9DRI710BpHqg5muz3nlTHCPX0Mc78mx0GIhGG7Y7G1lS6/LGB7Sqxi28K/fcuCSiBfc7dm+uDrNcJ6i/LRBdx7Zxgqi3xrJS/cJLlrvh4X+PRqQHNeYP/kAq4NmP/4CvHlm+R9bwHY5ZzPZ1XS57+uOGddLLj5HXnIm64HnEW4E910XcFiQgh6uUAcPLaPHYZpRNGLY+GCnYgdgLOfRCx++TDO/I++UpbBQEMff3ObVCBqy5w2a5Fghk+e4fpH9Dwo1jyou2VEvmZxDskUAI4kxToqfIg4nI8jAVUEKTNf9dXKowiCFFPeCEC6MI1YdV5IfNW4dwFjgqlrgHyPZOXqC1k68jPKW8o15889Jv/i5xikCDN5Rj9+54im3dwivHk7ym3nUziAwUb7PYxj9WOnlP6FX1EaSeWO3AzvU8dvMjqPGufI/LdGpLVMeoxKLDQjV4l2wsytCDe3LLaV2KxeIRLWpQZOBkjz+dgP4pAqUsAYgLMTHD5a0UdiQ7Mxe7pKagSo3fBuJ68hpMMjQzDKpgObFbVYHwakUKi65n663cJUsiceGpjdji6X1iLc3CaSJQ4N48UFwaVtsBRAMsrUIK14OCAag+Grb1B+co781GKYqvSVULqqXjT5T1FpaLM74XOS7Xl26vxfCX62E4mqbD8xG59rVdP5QjwnxHfHBDa2AI4sg5G4KWonnAy5pHBnQY00VnSiNsgOEVnc7qAz1xRW8/gMzYqwfHoDAk/EDIhRoQgS9GIGdDOTNPkp1U8uVMmACj/4Qt8MKyRfjov5t+WAUEsCYfCqe1dw48GurkqQEQxkDGAzGpIcWwcPlQFWNrkYxtKgvGVXFq6u+bAJwQXQjtXD1Bax2Y0ufBKHqbN3u5gTYpvU1Jtvd2nT024ybOXQSfIf6X7bbpzDOicHb4BBL4s1AE3Dh95Zka71wP0Gdrtnl+4Iy9mpxmPK6+UFCwkfSMLLMzKzgdFiWLoAIyFHRhwCtfpWOPfYJ8JOOKeMbZsQD75VPtFEPbbJJlQPH1UFGEjHLYY/AMZAEkVOqorjlRhJVhLPAU0qiyHi5k8fo5sbrL7oMLl9GAlKWkAAdANcLRE/eoZuViAT4mT6MmP2OH9vkwrBFtSmwxiY1QJWxicaSRqdQ7i7SyY2QaSB0Pcnn7/fbGA07EZcDWPTwPynX2LxsxL1H34H6w8q9FMhlYn+n3riiPrFDsOsgPER+ctb+Jdv3un2gxKmDCFV9/QxIdAXrxHuH/jZ13XKpAcIo9r5LEU/o6qYNOkchj/7PWw/RAouUdQtvwGmryKW/+kK8cXrdwoofd7SiKiqkjeCRs+62ZSoUMmNPvvgPdz/7We4+aFFdBGF2A2TU2SkaxJ5ZBnhOpPMwbQR6BaSTSCz1PZUEAtpSIaaB7Yv5UBPF4tEHsw3SGFA+Q4p3KxbjBvnMf/J6Oy3JYHQY5z3wwD1TcTsp1cYhNdwnFlgZ1OYPEf29AnZ5ztK4OKrK86+JzWg/hQakiMJl7q+IbI5ADBdR66JzM7j4cADfxiS94MiQEy8lPEgQK+Q1KhIw1OVcJqImWfkBhmOHvWalIeAwI5ZFUp2OmEuSOORvXlAmFUwniQ+47lnaIQ4JN7XzGU/EkQUgR1/7DvuKzGmFEtkGRuApuVeNq25Xqf8VMN2x70x+HFviyPZ1WRseFwpVtKTSnxJ6IVxTHKGMSj/6itMFp/i+gm5ANrEHvPRXCeNphzAyinJtxH9TCSADilmOnn4HylqUjzvnv+2PdVzKaamoF2SaFrcR+wfszEuNiNfRa2AuwWLaCdFho4WmMIbhcQvY3xT15wPHEVmDvMSIRfbUZW7ZIAJkXyAI3mDz1gMqPd/GJs6KLNRtbhtKbOxYVwwg85ThPznulHbr8FCWrmrlEfjFnXGoppoQBEAzv6ZCzCSMDT4IxSjBbEZgPrWw95t6CCn8yllicsiCes1GafzObvjph0tTfd7bioxIEaa3MD7NK9PulzJak+bQEk4TR/u0DTpsCEbHzy48yxpfNF2CNtd0gJDDDwAcCxRyPhB5nVcWFUK2Ym7PUxgh5GS04riHdvg2HWs2qc1wsGMv18tWehseLDDkiHPpMIw+nSLzW/K8wbG3G6JONV4WjObApstu40Qacmps2wfmE/wW4eMvh4++xBZExAyi817Ofr5R5h9fQn37RXd544PppMV9s+mKO77BAciy9gZqM2wIhzKkJeRiV0tk0Wrmc0YMazPRiIo8XN+B1EQ4paiI0qidOdnLGQe1oQknUPx6zcoTt9Ht3R8Zgt2AeU6Yvn5DvZ+i+JNB//2GoOMbd65FyGMz0/TAJsN3Pc+BT77EO71DcJuP7K1tVs8NGkTVslW9vgR+o8e4c2fVICJyLb8/Pp5hNsbzF4EzL/eI754/U4uQnpmvU/2yap+QGTnmYhjh4aRuI8f4e0/fA+7JyIrbkwaH7pmVD1omI6ynn1FnwRFR7TbMdIc5LuxE7IDN0mdkyZvkSO+ke1GiFT3LO2edDbrozQcOmbMOMfNd+M1ugPVGcsvOlRf3dB0SgoivUdx6FPxE5uGB3kMCDuuF+s9oM1YjLBSjAfhcqh3h+retcDXhNEgoWWmLFnUWQNkMvcXu/fYd/Bv3zJlT77HVhVwdsJ5etMkw7Co3z/0gLG0C5b1oQ0Mb6xPQWF4c8UwsskE8fsfY/8BTYGqNwcGHsmBbhZzHv7qO9CK74pmQkynKVo9PWMyktT1a6qKLon36xEF2e+hwXaaNGlioAuoDzBdB39zx311l1MS7Kk+QQyAdSlPImy2qK47lLc12hM+O8UDG+OQ06M/OgO48Tkcu3AhckvxrFHAZOYbjpJmSHA8x9gx2efDAt3UpIrVtSwohqlBsQGaMz6bKR9EZPjTF2wg+qmYD0V5juX5BwRp6IDM399zbjydIO72sGenuHtWwdd8oI1AD04qniisRY0w5I14d7Y21AAyJT6M5Jp8R+fAfnJ04QaJkJBvJCZYOh8zjFWSHeRn54BTXbTMNwaZ/w2TEWngfxFekgj1g9DRQD8nM7K+jph+tUEQQx/6oVseDikTPqdbn1qVHhp6T4thiV0sSIYR2DvZnB6a1K0acZkzWcaZmaTY8YBfIrwaDyy3WnEUIYWBVsjh1ZvxUJf5XIL5JyLVa9uUnqYHlJlN0Hx8jmHiUL/Ywb29h/EeUbpzU9fp38HakZ1bV3CzGc2PdLELT0Q3tRAi5+LOIXbcOEyewSznsG2LoNwEYDTq0Pd1dgJ/voDNHMLXL3h/ihzGS8Sndkx1lZADd3aK/vsfYP1Bhf2FTUgTDLB732F3OcfqrEL93x6SXNOdLIFDg8m//Q387T3ixRn8d56huayR7T3K1xvg7R0QBm6kywWMtVx3lj7h0RiE/Q5WEgaPg1eO74faA4fdjuMUNeZRiVKMVAusViws7mKag9dXLYa6gusiurlDsY1Y/eQe9oabm7+7H++h+rpn2ajCkK9EwPzyW9inj4GqhJlPgfsN58YiFXXLBTdilYhaC//0DA+fTgALTJ/TnYx6YpMsRLNXdxiOD39g5HbE8I43/TvXKSOz2Hew0ymaH/LwT+58cgiHgrwfRQXdgfuLNgDZhm5sCs1rJ2+8wP7tEYJYEEHRhka7eSM8Xc0ucC3S/DSIP0l0Mt8/kiUnfXYHGDcSlV0DzF4FLH96B//TX2LQz0JsjtNnMxM+kDQDsW3hLi5gF0yii8NAw6+Skj2dSac1LuvHOAd3TvMqfbbCgWO+IDHb5tE5Xe+urrmejh3+AoN8kHsW7DGyEA+Rn1MlBlGQgB4p4tQHxFQVUycFsk8OgkcGQmY+w+HxBHe/k8EMwMXeI//Zb+CF8OiyczoEAkSlrOEoQLp2WCH5igw6SqGgiKVyn9Bw9KAeEvbRBY3Ttrs0akLXI7T3vO6TFZLPhLxXDEOyz6bjaJ+KMHfo4boKJpo0b4+Wz+cw4XOZbyit02cHPZLhj+YBKGekWPMZ66dCWnWCWPV83WwfYYaY1oMi5tGa0QDMISXipuJB1oOezaqSO35u07VHnuNZsiyVLIBwsmBinzBrdbaRoLgIWMR3DlV13ws5kpwviuHAIBWHziiGirKEbM/DXouEpFcUCY+GpPiCfxbljemFp1RA3TT0xsfxBoVoEiNYSUEmcH7j5AOxQ4Q5dAyAqWsWAeVRV500pDV5AAD//uqaRJq2TVHA2uWmwkF1vgCVAcbAnp3Cf/wY7UkJ1wXY1iN/s07uf6px1axw9AOjdNebd7PNxbdB2cA6t1aZT1oozsF/+wLFm7coP3oPoc7hH58gfHjB++cj7BCoTsgMTB9gQkS3LFgwvG6QfwuSaW5uR/tWgSNNyWx5vrcVjA8yEw8w8xncfIZwc8tDQbkEvCHoPjjF7fcq5LspTosc4fOv0iGBshTJ3JAO8uzJY9z/2YfYPXFSdI6ff75hldueAftthvrZI+YtAMy6OHIg829v4LzH9G5JL/LffMON+OSEUKqgEQCSLAmyqSq8qPc6HBqmFDYi9RMY1oppil9vWSCE+E4OOrznzwKSaiN/foPs0VNEC1T3AbNvGphXws+RICdbVe88B6kgFFkUE94oGQ1dD3P3wBlzWcBMa8SckrLw1TeUiM2mGF69Zgf44XtoT8sUbdvPxuCsfAdMrgKm3+woE/utr/RcHhk9HRdJyTujbeG+/xnWPzjF5n2Xuh/bA8M0wrZGZE0M3VGznXQIH2mk9c9cy011qLhnBNnzEyt/akajFSFxKT9AYdOERuqmLaoj9SfR0aQGuphwRHbuaX08+8uX9PY/+koWtiJ/NFnGEaHM5Ine8DBW/3x2oZYE1/mcHW0UOe7+wGJYfTPElpz3nPB5bFtug5cL7N6rsfhFjfjjX6TPxzgDUzMKOu4PPASPPCOi95Q/H32ZomB3L9C7Eftus1xQ1fGCYyW3WHC+bogcljctytsMw8Rg/WGJWf4D1L+6gn/+EuHunutlOhGDKo37tjDTKYy1wlfKWJBkGZUNVvw3AL5fSYh0xpLA25ITwJAhIVBLNkjiEVUlI9+fzWEO4qJqTELCVMrtzs8QgCSBTa617VgUxoxSdeWLxGxUpKlpnZ5R0XKfUlTAF0gKu5Cz0dbnTwuGkBvYLiLfM0HUDhHBmJFkL/9e0at+yqJa9Zna9PoC0HwLfq9BduzJ7S4fYf3ZEu2SEEO2iwlaAI7UAIV0/BEwQ3wn59jnrMAhM3udi2gylnoc6xzFCLym/gDqcpQdWLX3E2Xzjm9Itb/H8P9Qi6+ysH3VC4AHIr8HFojg78fgDs65nGZrx5jm2KxGxSUxyygX6TryBOYzOuhZEvw0xtfUNR8sa+i4JrI3M5/BPz7B4Zzzsck3khEQBHI+P4Wa56AfqC4wtOcM681oAmIMr/W9x4iZhX1z+w6D3mT5SOwbBt4y59ihf/uKQUcXpwhnMwyLHN3CoZ/Y9KClEUrO+2W+P0V2mCLbfUBFSBNQbAKK2wYBgJ/k8KUl8bILqF5tga1ImuqSEPpilkI69FpNXmDzfsmI287A+FOcDB5mveX1Zo4bEwCzXGD9+4+w/shRfiYMbX1+dAHYHgggHyVUBeJ2m8xL+MNDImPF/QHx/gF2PmchJ5C/nU2lS2LhYMtCWkXPDXg+hauqkcAkG6UtyNuIfUdXQbFddVkGdD3c6Yrvp6QhkL97gNHPaDKBeXKJ/mJBl0wpcN2upypkt4P1Ps3xg6TgxRCRPeMcORY57D1VLGGzIVry6JLPEUAXtiyj01Avs2Gwc8vee4Y4rbH/9AS7Rxmac4aexBwIeUR9ZVBfB9RXPdzNBsPfMJL57S8lampBqtfrfvBd3P/eKR4+thgm4+uEHOnwR2+S/NjXQLckqc7tR0vdUEaYwaQxYBiQoFIvI4R8y6TSfsZ/U94j+QGYwL0jOQX2/P7oTCIza+elXgLKPUrFp+PPOf3lgOm/+iWGvyGkC+CBarOaML5Y+8aHDQCfJMWqaEGeJ/dGk2Uk2QpaE+dMtHMAuSbOpVFQUN1+KioCsO8xeWVhtw2CdfSyELUHrB1Jx/s9lCScMje8JyJc5ImkaLqCxUXrxxHAZpusplUuGO/u08jS/fJbXH7N2X44WyRulRWfFeUrmSnTP+P9A5MGhXxolAMhHijuZMnnWA7rsN2RlLvb8T6dniRTMTiLuGuTgyFd/2jaxX2WxQYyh7g5wC7kDMgzOLE/j00Du2mQ72doT00ijw41kgOt7YBcikPrI2wDACbxSHScfWx4BxkzRQtAEAKiUDz/ioeYRmEmchzYCxFRC18dm6u0UBto9d0B9JrG/6uPRSbeBRkAiXL0QFVif8H8b7OXRanNjleITcJJBhIM3DBWyMmCU0kzygeQA5gOgZyb9HOBM8IIkbg2plFCyuQGX0/NDoCx6i4ekHK6Xcv/D3KA5dfs9LVCAljAdHOBEoOiF5HVtKb2+cA5tXjEI0RKvh7WKURF3dSSHawcHibLeOAGD7TU8yLPYU5XiHkG+80V6t8MKQsbwmw1ZZEYrypzUeletJbzLCW2iQQRVzc8TIWtn5zX8uzdiFRnx2CbuiK8GAOy12/hhgH1fEZf+DLHMC+xfa9ENzeJ5Rpk1tnNDUIeYYKDHbgLqkVtIr8YAD8sEfIzBqpsaTYxVPR+mL4JqK5a5G/WCKsp9o8sulWQatQiZJeYXJ3AtQEhM2jOcxxOLfq5cD5aeZgHJNcr+uGPm3o/54qz+xY+SjqiH+Auzrjh9f0R2TGHv79PJEaGoTRpng5gnJt3HXD/gAyP0H/6FG7Xwm4oS4QxnJV2PVnvQvhTOWbY0ZAnxohwfYPs8SOO3A4HuNUSzd/6DLvHOZpT6nuzvXQA35tjUX6E7Ks3vIbdDnCWz92zS+w/XsAEYPrLG450JClNv/ybK1m7nht55pggV5W0t75fw0wnGM7nODyt0S4c9o+4Zsp7HsLlfUSxDph9e4DbtrTD/q10weMvO59zUw0xzanhPQlobYcwKfDwsUV7HmBbg+zAgC7bm3eUQ/qfbYFsK1HENZPUFA0MRYQVlZCu8+O4ZF+a1CTEjOu/OR/Z20liWCiqYBKBy4t0K/GfPPcWbT76OWWK1XXE7Jd3yQJXD3GNv1buRxDfflPXiLMaNkZ2t2L/a3YHHj59P7rRCX/ETtlQsOseUnGv47/YI/FM0DPrw1QlzFcvkAOjtTvGFEb9Obau4CZnyU3TFAXNoowBnj2Cabp3lR5WD+UcyvlIXh9KVgQS0TT2A4won+LLV0QrBd0zdc1iqO0QdyQzm6Kg77+z9BwZBmTiUYCm41hUotSRZ0T5JMvCdCRfG2dT9C9qB5vniNvt6LAqOQJhswXWGyKDYvTF3JNagoRaGi6dTjFUEnkvnX/IiDqpmVQokGTqOvYePWyESH9UBOi5qOcqzzwe9CTeklvXz4iWAwCE8xIzMzrldnKoV0hEQzUoUpUdE3uR0go1qtp7gyx1jnkBf7FMucNp4djxsw85Z4BDxtzyfM+EMF+N1YfqHVMMcJQ5P+TvKsBEVjhM6oo0+MhMqpSsOBbpLN8L61c1lhq5qNWQjimGSgg/A9AvzHgo5WRO9jN2A+UDb5B2vcZLfKUsOgRZaC0fSIhFrLugRCaIRNBIJGXcH8ao3cUMsSwos1KW7NV16nr5qY3zdAAwsymMC+xKFdJ1jj9fEqqiElpCJKu7rqmTVeOigeiBmdR0FXx7TYhRGL5hv4eb1MCPfgfBAvY3L8fF9OINSY4AThYLzuZPZwhVjmGaYX+ZYahMYrQiIhFVjn0cYoZEiIqRD7EWEd3S4PDIAWGCrGF4BiJQXdk0l23ODJrzIrnhqZGFHYDYjnCtPgdq4nLcmeUbg8v/2MP/8teJoGhipDteXSHqfM8L8S0RGJGcD401NBmy4o0gCEHsO/jrG2TCmo8TJkLGzQ52MRfr0TC6QmpHaMxYUAKc2zYN7O9/H3c/XGL/yCZJD8BiZ5gCobToJ1PMzj6AGSLKqwNggX5Z4XCZw3URs18xXwIDcwrsfIbs7FSCYkzydI+LGWLm0H9wCviIbNPCnJ+gvZhi96RAEMVM8hwHMP82oHjwKO47ZA+HUYL6Nx3+wm9QK2jNZE/2zsbAzKa4+94Mh6ceiOzofcHDP9sD3YqpaSlP3RDt0ecqFACkOAoluQBaaIZ8tCZOaWgFN+d8w2ejXZmUTZJIhmF8z8ru1w1Tw4AUVQT4vf2UCoX6KmL1RQtc36c9FADQ9+RXGJs+cy3M4mZD74vFHE5tvgGy2QG6WqoKSRuIIuecfr0Rnf2QGgINooohsgg89uuXZMp3pLxqbX04iO17hMbqwvsUv23mM4Qyp4W2zvSVyHnkYBge9KDvEIc+jbm06LMVPVT87R2UHxC7Lnn+q1mRyTJozLatK6CcJbQiPKxpV6yEZ5Eomol4D9w9sCAwhiTJI02/XSygY6noPZG5qgQGInrhYQ13fjoivwN5QGnsMptyBBDH50QDnzS0zh24V2W7CB2XZ4eRne8LIoomAE4QKx1dauOLyD0y2wPVLcPyypaNtnLssibKvmdG218hFyICYRKR7w36cpSpJlKip+rumDvjKxABgDC+N+9Pxso38lC2zci+hQF8LvC8E2JOKWSGPV9cE4/SmxRoTuXj6Q0bhngMlZFKiD7H0Qn8LtWPXkvySq7GmYa+MVULaCynCzKGsHzTfLMmSTBU1qSyQH86g3n5mhWpGP0YZ7mgOhLT4oHdlV0t4fKcrOr9IW149nwqLPcWeFjzoNG5XgzsyKU61u6S7Pv56F+vP09sbrkhFCye6orys1YKtr4nW1gMeGiX5hEeNhLPaeFOZuNCmE4RPnzM2eI3b+DvuWk5ceFzIoEBgLjdwx0auDxHHiPqX1qE+RR+XsL2niY20xzDxKFd2JEnUsghMoywPKJB0UZJbjQJntLPRTfV5GoVx88m3/JZGCaGszR5DlzLAlEr3H42FgWz5xH1f/gK6YgKEnN8aJIBkZnQ8SzlOgBJsmerMm2o2eU5YUDJR9BNRBnseNggLmbAcob4sCWSc4Qw8PXIiI+7fRpFhKaBOz/D3Q+X2D3mZuoaIMwUleKlFw90rdtkGRCBaWXRTy2K9Xgwx9whFhN05xOUGUcnIbMIz07hNi1iCIhFBj8rMUwzHM4zZIeIaevhJxb9nBbVw8SgXY0dRHkXMXndIXto4a4fuEHu9jwg/qav3xoLxLZFPLYZ/ug9fPtfnGH3fkC+tsh2JjHwQyazUkN0TglTiFzHCtvnazYnsSAqoOFJw1QkUWu5vxlI2hQEktG8gAmE+KOQmFXKpf9GZ6NqLJQdxg00WmCYRUQZQ0xfRUzfDChe3Kdii6RV0fSHCOSG4522ZWdZlpS8rrdUvzw+h2l7xI2sO0nfDPcPsCcnZK13PeJuD//qDQ/g5YKQd9PC392RAApQgiekzugDwu7IM6CcMTZc1B4AkvQv+kDyX1qMloVsXQFDQNzs3hmjBeExJKmrqBRMXQNZBn99TcmfaO9xuoLZ7I7GcBHu7FR+Fh1Mw3Y3jjgB+LaFkWuNw4BoxZjscECKHy8L8ir2A0cUeZaKXd3/jDX0/983HI0s6G/BEWVBF9flAigLZhHcrYmW9J1wHkQiP4Tkxudr5ZLJWHtHY7v2hM9bKNhUpiLywDWsMnSoTFB4S7wnQCgMyhuOurqZeF9EjsrzHZUBwY2FRLaXxMs4PsO2M2nsbgauE91PdA3FI9K9a6UAMFmO+NEzbJ84svXFiEDNB/qJgesjEJD+nwzUohYLSK5GQwVkwp7tZ6N/t0IVTjZz1eCWdxG+EiglU7ZvJKnCA2bgaEAdAlkovHtoqOGBfr8dhOkvN6ifcoFnovE9Zh37OoeLkXnoyzkNKyY153XDkJz+wm7HBVIWiaCWiH9FTg3uZkNrTHECdLNpOtRjzi7QVhUh/0nN+dPddmT7xkjmqkBtEIkQTV4KmH5gil2MLAzEzjYemlGW5T2T6dZbanpXK+DJBeAjzBffcKNxLhmyxFYUDCotAlL0b5I6fjsgW8xkt4xw1qB0DjOp8JHnnPmHwE6xKhBnNUKVITqLoXYIuYXrAqIz6KcO7dJiqEfSSrQ841Un289MMowKUumSYGOAwGfM10iM7+nLiPN/+Ty5rqWOW4hSsRdOhBRadrVEtlxIlPCWsqM8o25ZSXp1hDk0/DudjXY9UZiqRHwtnVQMiK3IiURhcXw4pqIvL+Def4rtDy/RLgyKDTeQrI1YfeFhhoDy9Q6H9+fwlUU/dWkstn3qSGBtI4vnORGaUFj4ygJxhW6Zob5qEQoLMwRsP5wi33qEwmJ/7rgupsD975BhvX9kuZEYztXrtwbVbcDkTQ/bB9huQFxMgavbVCAeRyXzDwyOC4B4OLDg3O/pL/L9j/HtP1pi915A8WBQ3nAjU+hdmc7ZVvgdjXiWC2mKHumU/mV7oLmklThUGSRNR7EG9o9E3yx1iuuO9gpHz37t0OwwoohadKUkUocUauarEYXI9txAi22ELyz2n56hWk7gNg3i189ln9hTRrbdjbbcdQ14mmy5PJPo2YLPWSTiiBDgDw0RlhhGWVxZMkRn0Ln2YZS8qca/qhKjHvtN+izCdkfJ8mxKl8cY6XZqDVTPD+Tv7B/Ge7jphHa6TUMPgIqeJ7ElaqjGUopQavHLrpl7Ytjt4N7eEo3OM6gsGv0wpoROpxJnzFMsPTOqnhIbYDObEYmNAWbKZE9zaAn1y2grapaHNFNh24zvfbkgV8FZFgwaPFQW3NO7nkhuWSCiQFivkyoJ4LnEyHueL1Fip7UpTQ1zH2F7BuPFTJqXw4gwRQu4Xg99nluuQ/peE1nI7h8bZFuOBVg8kI83FCYVuu2pSbG/iobqz9BGSj14FCk/NryKVgoAu5hh994sQfn5ht15NzcC6wv5r+bmYz2AAYDhQtVDVRmNTg5XXyF1bkYWfLHmAurF0ShZGuYcC3Tzcfzg2kjITeb2tgP8aUTW8OYrJ8C2nOV3K24KgEGQeWC+HuFAhWoAIJPKrFlZzF4A7uKcCyMnmSvcP5AsoprcPdPz0Pfwu/3YHfY9DGjbiWEA8gJ2KpWyNYT+xT6T/ACZ7StRRR7EKAYyJh/d9DRuN3nhzyawwgBnXOYhsevdcgFXLDmz0vn10MOaCrg8I+Hw+T2vK88IYR8OXNxiIBOHgTCbSG6MEhLTrHEQvTzfZ9zLopvPYdAj3tymUUfy/hceRTWbUnO+2QLGoKpKTD94grsfLdCcjjwQQDZreQaCQ0IVACSzKf1PxxDlbcTyiwPipGJIT+BIRRP+gvoPeE8OB8DN6vIcRmxHqbNmUImxBuH2bkRQqpJdhuQdmGrOuWbbMoFNyZzWJstbHUHYPGfo0HoN+/5T+PmE8/WHiOrOY/LTVzK7FeOn7Q7110w/zHePsXkv5zOs+/ulRba3yNqIoeQazQ4RDx8XPMjzCq4L8CWLh36apzAvrmn+m8NlRBRtULY3cAeD2QsvzHyD7M0DVTMnU1hrWBx3PZPqLi5Gb/ujw19lm5o70PzZ93H3OwXHM2uT9Pvq+IcAIB/T9RS+P7Y5NT140ASQD9Syw3Jm3GfMQKOUY621Wo33E1op655TbGSMWIxopXZ1/VQKAiEgJo+SDij2JikJ2gW92YuNQT+fobwtUW/37PCDT2oWI3kZygMweUGP+/sHuPZEvEdCCsSykXyisKHPh1nM0Xz3MZUhf/kVO/yuJ2o3PScyI8gijGExL8FQjBnO0piS8Dz9H5IXhEgP7WRC6+79ns/1bg9styMPCj2Rh35gUJhImpFl8PcPcCd2hOGF/8C4YsqVGQUcgFziqYMnX0SLSVEw2FJikWXtusUM5mSFsJjAVDys4+09sNuRQ2XoTBtDICKgsj4pHPzdA7L5DBpSZvKMBlnWAlsiK+7inGO0Sc3Pz3u40xNaVc+m6Gc5guMYeZgYwI1ckeMAIASB5wWZDtKta9Oqv1ZSfbQqH5R/b3jgdzOOqrxw5vwRL0a5dcZLTobn2skOwofzR/w7QUgBQbIEHdDxgR0UAVjMsXvsKHVoFco3YqkbUyY2r3qsMvT3Qy2zEK2W5eYkj36pnH2BMRa4i8nhS+cmviTCoDcLQNosdG6RP5hk9QnZJJQEqJwBzujEpCOyGqPjUiTXwGIkIQJoTgu43Qls07AaFI/p9DWfcq5098CkwIG2tBD/bhwazuglqEYrUMrxwmhvexhn/E5maWG9gZqzpFmbBHggUKxs53MyX+/XsrHkYtJDuZeiBMlaV9zg4D1C28KpFG0g2YVKhjpJ7EhWCzJGoHzR5EIqenqJcP4dZA8tzPM3HDHkLHZMliUNcfSU/VljJJY2pEPXLWYsHjTvoOuByzPc/MEC+8cm5TgocabYcPGohra8jyg2tJ/ODgHdwiFrApz8+nBm0S0N7n6nxuxVjvK6AqxBKB2iMShereF/9cU4PwQ444+RcqeLMzoq7vawy/noTOgc4DzsYgZ/cwvs93DnZ2Kiw88ye/IY4e4eyXhkOgFOVzRUWc7Y2d09ABcncJlD3OzgtnvM2h64uhlRl9mUpD09TJsG8XBANZ8gvy8Rc4fNhxVaIEmQDlMLWNkAdgbDlOvRF4Y6elmrw2TsFGCA/VNCjbYlScc1BpPXUbI4Bnb+vUeYT9gNvrgmadU5RN+QdArArZbkOQjDHADnqc7BeI/DD5/h+T/MYSDyPm/SJhgyQfxEa58pr6SNCI5Z5yrX40YbBTkaR30hA4Z5hB2MKAOoXilkr+iWEhXejmiSEpZ9BZR3/Pn9HEB1tM/EsagoH2La0IeJweEiorynyYqvOVrMNxFADvM7T1D+xRGcrgjaepskueoZ4u8f4B/WcBdnHAcoV8A5jhRnfD7jtEZxtYPd0cQnKELQtBKvXFF21/WIN3fUwldSfIqtN138mN+RrHWFuArvySVSNv5R+A+t0AcJ77LcHyy5T0o69A/rcW/zYXx+rRAFywImRIS9/L0PyU2USGXP9x/FME28Dsykhg3ck4aLBbYfTYG4wPzLHdyhHccum02y5DbTCWKeU01Q5gjfviTZdn8gYfBkRZRku0fse/i7B3I18oyNzm4HU1fw1zfAekPH1MUM3SKjZN3HpKXXs4kcJZ4rroto5iwA9LmLrIk4ppTmJTj+uljH5CTYTHQkZVLBaRTVbtmQa4QvbXxBFO2It+MOY9dv+1ENQx4CUlDWMOHZOdRAZvIC3Qen6GdGZnFxhA58JHwh813dQOJRZaMvqI5YAFJ6mELs/QIpUVBNhPqZQf02oj01CZ5XKSAgEoWDlEVm/Lk6G4wC02mGd3tikjmQJnm5lvBqt+T3xGwkBtogBYEx2F9YZIca9cOS1aV1o3WkGbg460pmTgcesBVDOux8xiq+bRGXcx4o4vamioIYI4zYoZqiSHM7tC277ablgwgQIjOW+d59T3mPeO4D7OpNVSJ5/UvREPsOmgFg6zpB9wBYzTuXDGNMXvBnLhZj4I+SlPY9smdPcf+n72H/iKUiK9gKZz8pkf/8G8AHFiSWpBtuGlLpz6bMd5eMcbta8lDc7YHVAv2TFZrzArtHFs0Fr129ICgrFbKKBSZXR65qr6+YkRAjJmenUMfGybMnGP7sCVwXcfFvruF//jmfwbJE/p0PsfneCYb6BNPtEwwvXqYNKuwkTVDmmXE2EVKUbJSSmhbaluxrXfQPG6g9a5QOyZ6s+Gzs9mLG1NEQ6faBpK3DAWYYMDyskT26xP4PPgAAFD/7lSwYAwfArVZJf8zPeoDZHWDKHH6acz0IF4ZyNR7kIeOmke240QxTpOciZERQusVoYqLr1jgJ3MmA2asBtgso32y5GVY57LbhezEGUPvgouBBtKaLoVssZJSVjRC0D7j9hx/h7R8ahILQfcwirMzPIeiOBgy5NsLEUf7oHf+un8mzNwCuG9VByYPEAyYYhCwmF0FIF5/vBGEw3ChtRxUA7VCB7JYbN8RkRKFd1wL5ISLf8odkB4/8oUXIHdyuxfY7S2yfOBYvOYRoxdHC4TJH9oOPYP/yVzTxkaRDW1dEjwLzIqI1VItseeCEGQutMKvQnpbIdgPyt1vg5g64uYMZGKSj/g5KULWrJSWgt/fQVNeUiKn8FmN4iOcZTAgs4NX6N0aO7mRslaK5BTUAILHSW6KJQEIL4X06/PW5QNcheqIOtiyTXC8e9iP3oMhTEzI+6DH9LE3xhDEk6/UD3KaB7SfYPnPYPV7g7Kclyr/+ZvT3EPIjQkj8CAgCFQ8HKqmGga9dl8Ckgtk3cN7DLOcs0gEGMxlDPwFxBA2rKfaXjt34AxBlRMWDnET4aAmKtiuTRssan60jcT0nXcsCNjsIx63nenVNPArb43pVd0n1+lekQDlT6rCryhn92b4UJVE2jgCiJRKm+6021Jk9XeH+vZJVg8z8XctKWl8MoqlPXXduyGAVZ6Io1bw69oVshOCGaiwM1LzDl2MxAejFiDFQz66drH7aHurGlmIPKyQGZTJT6MfNDUDiB+j8pF2xCzpOIwy5SVLH5tShesnZPgA5DDz8rXTIXQ9zsoS/vZdEK4YmxQ3n93Y+Aw4tIPOlcP/ARTdRl70+OXm5ukoEQatzdZX3iGRHU/d4PpiUAxBF5gLJrVcnP7qBWc7TmjYtTlvXEnAUYKtSqvKSJhuPzzAsS2SbFtnLGwxv3iL76APc/L0n2Hxgk7QyOklEK2qczD/B9D9+g+HqGk6v3VnEBRMNMfjEAM4uz9F9eAafW86gLzMaWQjhs7gfrTBDSag3OwD1XcTpz/bIvngF/+YKAwgn2tkMYbdPjGKTZYjXtzj79znCrEL88ttxT2lb+J/9Cou7x+g+fQL/+ARZCBhevU731jiHuN7AGDKFw8Ma9nSVoliD/FxuTjUQIhGT6RQmy5B98B66j85hBiZJYrfnnNEawAduysKYz85OYXtuQpO//AZht0dQm+Sy5PdqDLJuqrmQrzKL9iTH/sLCNUCxDSg2A3aPc2wfm1QI7x/HxLE5VtEobK1kWuXMuJYytnIdUP/6GvH5K5JPReYX5Bo050HJi265AKyBOT1JhWAscsK/ixrrT2e4/gODMAlwWwsn5CT14y/ukSJ3zcDOxnYRxpIPYmXjrK+o4w8FmNAnXI+s4fWXDxF9w5GGr/g9xSYm7XTqmgStzBrxVZeGoq8Nso4qpOo+IN8M6OcZskNAeX2Au16z8+0H2EkFvHmLyY9/gfkPfwev/wenDIgpIwZPrNW1QPh0glX7HZiffC5e9tSVU+t/oJ+DsM+NNVRmXExwuCjQ1wbFLqB6sWXQ03YLxMgia0Y7XXjPglO9Rx7WQJFznYuWH+JYSmlenjg/iRMjs3R3eUFV03rLfSjLYA5NQhM5vojvjniKnNJjY0bHS3BMOeZgyL4n46zY0pk0Dj3slNI/HHEO4nrLsZExQEMHv6SGygtYH1C/bmBiifX7GR6+U+Dy9Qnw8g33xa4j4nhzC3tyAsSAuO9GaaS6AQKIr9/ShXU1h1kteb0xCsLBdWsmIgkvchwe1+TgDGTpAxyjxRzwhXBmbiK6lZxlwziqM2ZEyhXVHib8UXYjvjpOGjhL/gDRu4h8I+o6OcCHWjItthGQsbjtuBaSXF/75WFE11w7IgJqcmWEcxAtkIWnF5R3RTIWfU6ihhd2fogRsZAZvEgSskNM0YYqyUuwvMDxRuQOABeudup6kOtYgf/eJI239QIBVu8e+K4TF8EqInrDGyRSMRNBKLRGYqAzYMgAeRydvqaA7cZxgGu4WbQn/LPdJwtMigz2V98IwaWC/eQD4PYBaFv4F69gi5xEFYE5UeTAfkizZrUTto8uRK7iCX9psIcxCNsGsFxA/vaOh4ywb00IiAM9w8eFl48QvvdAZ/mgqs5a4lu1m9UwHR0DaGqhGl2of4BtWpRi8hEHDwSPeL+Gax+PnWYiWRJibk4cJicLjkG2u9HFS7kNiym6yxm6VYZuatGcWsJcPTfzbB+x+nWL4u0Oh/fmuP1BgXYFhDzCBYP5tx7L/3QFXN8S7tROtmnhTldwVTVC9NqpXN/Dvg3AfI7s/Axxu01Z4uFhjfz1BMPlAnYQ+F8Kl/Cw5iZhDeLuwI7izVum/52fESKVmSwgxYAxsKcnaTaav94gLGowZfEebjaFKWvxh6BmPnt0wXHA/QOv7Sj8CMamzs5dUI+tKEDsO/irt3AxopgXnPvvBkRn4CuHfB9Q3Ds0l8DuWQAsaJYT2C23JzTxcT0Leqew4F4gRCEK1dcdzHY/Kk+OZH4MsUm/pY3x+TkthWXjx6EBHp3DryZYfzrF7rHl2jq40SPCcQxQ3JNDZAdqo3WzDKouymU8mGnxHzEIKphv+AyZgcjBUBlUd0RF2pVwBAKQH4LIRYPsOQ751nOv8AbZziOUFtnBIjsEyTjxyNYNqq8aMvO7btTMG8skzvmcn+FXz7F8b45QFGjOTEo07RYGw9ag+GCK2f4DhK9YkJrFHN2zE+RXG8Tnr4AtVQC2qrD77jkePslR3gesfn2AbXrYPU22NBlPbXg1kyJutyTvCioDQSXDoRmLfICxwftDkjibLOMhre8pRFrjhshn3RgZ/YlpjiCUScGko80gYxEZB+jelEx7DHMHGIC2S5kgJstJ7lM0Q78EcTVCsAUAd3HBjJXTE3SPFsg2LWY/3aB4WGF/WcDPSjpa7vfvJBzGDRG6MVo8jkFIm0MiF9qmRAoZUkMv3V8l9tj4wHl5ALKO7/nhuxGL79zj++dvAAD/8cV76H46R3UtiJXIkZX7FjMkLx2d3SNSTaeSdwAprZYpliZlVgRH/kp0onIxsm5FwaLnaXBcEyovNAEp8trXQJBGLt8hjbiiBbLdRzN0S86xsgYY6ghYVicwGCtwmV/wezj7MoNAdkL+S17aGeA8OKOoqe1VaF679kSYkDcEO0JwJo8IMstUaWG+IWFBbXxVVaCzfxjCM92EZiHqH9BVBofvNfiDj77Fq90Cb359jskLh+KB0CkMZ8y+ANYfZMg3JarTFeyhYRW92RMmCxHY7nipFWdoYbdPzm7qCBcBwn0SogN1cJtMEGMcZWd5wU5R/Pw1ttLUNdzJiq818IFW33+14zQhIHkIZBnJimIxGoVdy817SOYWAGQzYKXupHuLwkFQtMHf3WH1r77C7OtLhMIhFA793JELsvNwzYCYO5jVQq63Qv/sFOGoyz9cWCAQeXFdRLGOqG8GuNbDHga4r9/w0Hhvnjwj8q3B4ivP7PRXr9nxr5bAMAi86eVAf2CFL0oHI+YlOpN3FxfA5Tncowu+5ypHv6gQCos8c4B1EnAiQT1FQSJjVcHNpvCSyRA227RZ6H020ylcXQHO0k74dIV4cwv3+BLYH0bCVYxJLmcl4czcPlAOOLz7mu/45j+sJZxlNNqJIiGsfvWabPzBw59O4SvH+9tGFrWDQuTiUT7jxkKEJaa/Lx4ITw612OfWQMhsKrT+/37FiLBewzgHf//AtfDhe2g+XGH7hGRF15Hwpzp754HyFnQ5qzkrHWqS6JT8p8lpjC4VC283dl3spEzy9Q+WRWU3N0lNlB2AYhdR3g3INh3cw4E8i/MTkrzkM0fXA2cratzzjPPztgN6kfFWJbt1KRRNniPe3lOOdnYKf3OL+j98iW7xKZozh2HClELlIVBNdYrZegt/fQsYg+6kQHt2hlmMQJFjWFSIhYUJwOnPWxQ3B9gHys7C2xsqKWbTMTb5YX30bDXci0TdYmZTFsXCkDdTKg5i03L/EdMeWAsnHg1JSufsO9HCNMWxiT8EgCOMirrduNmwORF3R40AjwP3GjUp0j0ucZvENMhg5Cml3IDgk7sg0SZC9qYogMwhf7MG3t4C1qAwBvltAXt1h6DdOwDkOUmMbQs7mSR0Q/flxFkq6dWiwUIAyFNQ/lSMRDEzh+ajM2yfOErzpuJpsuix3VX482+/i5hFoPRwi4Bsb1PzOUBQAJGn6zmVUv90ohg5ylMTIQjCHjOkQDy6UNIht5+zSPaVSYo7jRfuFkjS1X4CCF8WvXql9ABEcqtEWV8A2cMnbpRYSfcOKFHGoLyLCA0vJukN9XBdEW7Md/yh+R5JlqNkHXcwKfI3VUAQCCKyKwnCAi4eaAziK0KCSnBQ44+QiQxHigwlUPhCRhWGbOZ8NxIOfRVhXcTzzQptn6F6skN8GtEZoDkU8NsMZrAwvYHxEcaXuDicIP/Nax7wec6D9dAQXpLD2m82cMsFtb0HzvndxXli5Ma+T7N3ZfProZ320q7nPA/g6w4Dq/tw1N3LQ62jCVuz21TSmZ3PaBHaD0DbjYEdAOFj8SBXn3HjHGWB1vG9AUQEmjbBvWG3h/vyNZzMzar50QbRtDz0n55g+OgU3TJDc2JZEHrOr7J9xOylx+TLNQu7nosbMQJX1/DrLdwnH2DzXp4KgOwATF80CHf39E63ZmQ85wXi0L8D/bvVCv7+XqxJ+dCasuRs+uYW7nQFnJ3AHDoUN2u+VozInj5OG0Lse3Yz+wO1y9MJxz0SYmQnE7KGux5GPqd4aGhMEnwqqPyLV+QCiIe4Ozmhp4QP1BmHkIJ8bFEg/pZPvs5e4zCw4MszxC6kDcmcLKkV9zVilRN5WHfoloWU/Ug+CNFGZAcSeFFEmfuT+DpMgEI0wsaJjhj6vTn++37Frktudfj0I1z97RMcHhG6Z6AX0C84l1fiUbcU5n6H5OGgqKE7EAGIRueTURCBoz1HeSJBmNPO0BFNRo3qD5IdAvL7BuZX33A0sNnAOYsgkdvu8oJqFECCZCzC3R0/G0nHM2UBKx0yw41arreSaZoA4K9vsPj5BXZPTt+Vscp7fSgy+PJDzL84Rfz2NaZ/vkPz+x/g6n/4iH4Z0i3W1xEX//YO4ce/QMwLuMtzFoYhsgjR5D3ZR5QESCmxJ9FWmgMr4xhYi1jkbBQyR0KqHszOcdbdtjQWktm5qSuY5Zwy4/0h8ZSMI/nPOIt4ugSeXcAdOn5f5mAGj3jL+6ckwmNpMmfphRCDPYsLIElqFaVMksR+4J9LdHHcbElYzjLq89dbmEP+jvLBLhfynjrg5pYqnGMjtaJI6Cj6IRVGiERAoCmeR0TsWBUYpg7tyuDw1CO7OKC/rVA9LxBtzu1pGoFZD38yoDvkzK44MoxS/kkK4ZEOXO2r1Zp3mAIupwyWnJ7RIyAUYDNlxrE1pYZsYG0fRfJnRp2/cOBsC8Sa/9cwoKhj+QDEHMg0IWuoDSZXAe3SpBl9touiwyUUp0EFg1RDZBwjGQuo858RSQQgelup+BWiz+Qm+GrcvHTGkUWiEarh10wAcLSUCA2GiF6KEzYR8Dn1wRq0YILMUbzB3cMUw32B4s7RCrEMsOctPvz4LU6rHR7XvOP/9rsfYH1/irNvMrJKl3Pap6qRhRywbjJhx9C27O7vHxKkDMmMh7rO2SElLhpxqTLOAuIcFjV2ViA/ygYt0R6B1nR+lxZ5EOeqCQ8aJR+mjUISt5TMAysLQYuQvmNAETCaidTcVBBCgtntco7oLNoPTuArC9cE9HOHbmbRT0yCm8q7gNnLDuUvXiIOPs3RYAzCbILuyRT5poPrlog//BhX36uxe48kMdvxeTs8rrA4WfE+TqfMLpeQJnd2guHqGog+hYO48/MkRXMnJ5xFi90nhgHmYUNJp2aeG0vHNGcJ88noQ21Hsd1JwFEJHA7sjBYzmOs7xN1OHO1sSlVTFMFmGZCJ/tgY+Pt7pv0tZhyNHEGwsevITG5aPgtbQSHEOvgd6LKqyO+YMdQk5hm68yn6uUO0Bu3SojmlIU4Ihp1+L6l3jvfV6Pqa0lM/ZCalkQ1Trpdu7lBcLJG13X8nRvlv/JLD3z26xPUfn2DzCX9GAFJ2ebYzqG7Hrl4JUcYDWY/U6SRvf9koQwH01iSPc/KKRgZ0PzEw1dhAqJGQhnuF3MA+7OE3G665yYTFXVXxECvlc7p9IE+nKGBX5PYYY/isHLJkk0s3PymepVBLHe3nX2L+3SXuvusIE4vHQsi5Z22cg/UzzF5l8G+uUPzLB5wefoAXf3+C9izADgb5joVzWn9i8WvrKklpNZUuHf4TPqMW5GXEth0jc9t2HDkC4oTHgKBUbIrELsmM+w6mbWHPTrD5wyfINwPqnzwnKvL0EtvPltg+drSBFwK4a0jUnr0cMP0JbXjTmFJ5JPoVhiQPVT6S7nHqRhql2OdFW0nj6ymPbck5MPMZCxqxRkddITs9GRFOyeewRZGandCQxGuGgSRiY2GHAWY+S81digTPMxqvlQUOn57j1d9z+N2/+zlOigP+1VefwO0cQqYjZYMw8Shyj65x6VnWfJLkLyHjcFXG6fkVSsDLvcx2SMUCIMWsH51tESDx9vHImGp0BmxXwluTNeVkTWg6rnoOvCND9GymM5XvwRDmMJ4XGqSjjg6SeYyUY6wWh7r5H1c4phv/TJ2REHlQFA+8KE3RyvZSZDje0JgBg3QlriE5p1/w19GMFqEAH8CYAYOgAv7oeo8JjaGIQDDwneNsdDAo9kDMHPy2xksbUF3ywfvPlz/D9yev8H/4O/8jrH6xgv2cRUGsy8Texf2a9p0hcKaum/qHz2B2B26gKv+TEB7Vw0IY93ZBOA1ZRl/wRqQq4lZ3zO5Xa9+4o06fo4ICKJk7kCB8MRJSX24lr0G6/yizO5Nno6OWsl8lRCRBgxVlQLauYKoKflGjOc0w1DZ1W9khYvVFh+J6D3u7YfVvrWjZbZLBmc0edndA+W0H3G8Qnp7j9ns1ds/kmbgfId7New74Ox9i+tUWZt/C7oqkUIh9TzhdiE7xcEiHvalrXnPTjs59HQ1UmEo4Z3Gw3aUgHStKAlPX6bANXY+w3SL76ANkixk7hbc38PcPR3plN/5aEh5hLYzYBicURaOiT1f82UdpjdZZBO/h11siCd6PqNJqlYqA0DRwsykO789xOMuooMmQXDgVAkTgXsqRmZjkACniVot1tVVWeNF2NNfaPXJw3QST7gT471MAWAfzh9/D1R8usH/CwkNlvurhkR2ob6YEKcLBIJPCw/ZxTE+T6yk2ov5wlCIrUsgRgfBA8nGvipaNhYncHBUpaOcWKItk/AQAMXK+jI/fByxg77aIgZ99mpfPphzdCQIQHzYccWiwV9vCt23K2FDkafrlFpv3lhgm7FFoGWuSnfX6gwzd9BPMv3mG4vkt7NsNpi9rdCckcS1/MwAvr/j+Dg3jpkMYEzGthUp9IWS6JCtW/f7ZKf1Jbu5omlO4VOjrCBEAZXgK60t4lT7DcRhg9g2iA3ZPCgDvwQ4RuycFDheWVt+Oz5HmIaQ45uOZuz4fzqVDWJMq/WYDxAj3O59i991TDLVFsfYMEPvNc6pl6poFutqlyzgiihIlWbXHSAnypEL/aIHoDPJZBbshmkdTnxJO0FAzmzKSvWnE/Aj8vL0HJrX4Dhxg8h44WeD138nx9/7BX+M7k7f4f774IfpdAVMGuM7CeMMRm4twLsAUAW5vEuEOGJthNQA69spJRYAUDRBl3CDS1HzL+5wdpAgQuSBkjWf7iKEGmlOTUm41cM8XQC7og/phaGhVciOUsxkByGjIEZObHyJdrgaVMEjeMQlDAjd4JJg9FFSFqZZb3zyOqhv18le73m4ZUV1LSpfRcCFFB1g9q96R8Yt8GIoNDYkOlyZ1+IBcRwa4xqTZBn+2QNJ1j6F3wGBGb/nIkQPezvD5hxN8/ewUp5/t8CfTL/EHv/8bPP/dT3H+FbX3mE8JrxsGkVgxtUEI8GfcENzrO4Q1xwLKFieR0I7kvbIcq/rBw79+w5ni+4/hPziFbT3c589HiMpaFg1CXuPhzE4GVckbr0YgHeFsJcMcf5mqpHWwxs8q30CLl7KEF7KOnVJGE9uWWd8LLpb6uofb9XC7jh3VvoF/c4XgPYKxyN5/ykJkNkGsC5j1Hnh7R0KbsYhDD3d+jvZiQslpyaqxvgLmzwfUL3bkHNQZhlWJ4ckEMCcob87gbnfA3ZqEJCE7htt7KWo8rLNJxwywaIIPJClK6ph/e5NyEUxRkNS53sLNeqBmRrgtcpI2pzXs9R3C7X1iwMM52CwjwdI5di7ypYEo3LCkcFMjJGvfkUshxne1865IEqnjwyZ9+6FByI0ENB1B/Y5GctEJoibSIPQSgHMwydZbzUBCAQyIiRVsIlGA6q3FUFs0T+eYPLwP/P9CAqyD/dF3cfe7S3QLQ9lTB1Q7846ffvkg8tsFtfLWky/kmigEpyPDHiHy9jOBLeUcUddQJTypgiH593diAdzJniHjgPbUYFhW7GiVXFtVRKTuN0Sk7h+Y8XB2yoJSRzDK4zk0yfshHA7Ug4OHvprTeOnK7WaP6naOzdRCjVcUESWaAQAW7aqG+eFTznylCMo3BvWLXbLlVj+P6D2cWOwq1G3qmnJaDQvSZiAE+FevecjGMI4Ndzso8S7IwZueKSFw2slklCQDGF68wvK/GeBv71jQO4eT1RLLDx9j//4U3cyimxlEazB/MWD61Qb2dgN/9Ta9hhbHUTksAMcF8jNhDMzugOmvbtE+W2L/KIftJ6g2Zwhv3gIh8N8Idyo0LRUJwlOyqyXX+nbH9e09slpIgVd3PPjnM5jlnMTeHWWC1hr6JYgDYuz7JG0dn2+iDPvPTmF+d40/XX6B/9fVj3C7niJ7m5OrtCNxNRogn7cwJgKbfGyC5SCOFrD68sLO18NYZafdCuSPNHLGWmmA5VwbvXVMchdUF0u1slaLfvUZ0KJBHS+TbN4Kf0/6QpX6Z9UN43xVH39cmfC/mA52GGp0fcVNx3UCZdTs7hH5a03QggGsjjLNeIPyrUE35/zfdZQTqj83L07kEWykpeIxSSKkqUYQvkgExthhcfXiTTHItgZ5MeCj81v8Ol7A7yrE3hCClJ9XvbFo4hT/Yv4Z/uzTX+F78zf4+Uef4axpAb+HndSEl/ICcA7+9o4kurqCu3pg+xVCkrdEdfTLMzHSsKmLNEXBzi/y8PbXN3DOwe4XiHWB+OwS9nbD1wT4sNYl08IODQ+3IN3A4ZC6hOicOLBZQmii/Y39ADufwZjJOLcFCBkGSvbU+S4G2TgUvgsB5mELe9UiFxOSWOS01QycO6aAEOcQnWUQUjuwOJEui59pjvjsAvefFmjPIop7g/I24vzHW5hffDW6hwFAjMgnE9jTEwBA/+EFus9OAQD5dkD20MJ6nzTN4dDI/FEHxpaaYmEzq0ZaGc3Kp0AMHJV0HZ+h1RL9x4/hdi2GN1dkLcs9i714jjcN7GwJf0To00hXRW+M6LRj15EE9jd8GctQFs0ocKvVeK3H3/f0EXaXDu2pQIj+qPMy45pVMmy0wGCkoJaDSFPs6HNvABtRbAzaE0bq9jOg6Q26WYboHiNag+L+KQODuoFF0aLG/r0J7j7L6OL3IAY+B7L5lY1sB+BwbpLjmEpuaQtu0M9I0qUcGKmhiCJZGiYQuS4Suc+1XPPdkvvOMJHvF9hf9dRGRpLrT2qcffkI4e4e9uKMFtXbwwj3Hg5wFxccCYhPR1iLnHcqfhDGjLG6QCrKnBLzdC2VBVwbMX0lyZeTESEdphEujkRHRGF3i1TZF8D2kxmW9x/Af/sidfTkgHQkKAaShJWjomgWvIdzCxbX2x2LEZG1mVxIyaI0ig1tyREoxTN5Id8bkrZfkbaw3QEhJiTK39zCth3m1yuuaVmfcX/g+tE/UwmisQwAEiMzVTAYUU8BRC3D6zcoXtZ0CI0RYb0ZkwVLonmxp226Edk1FSdECTADr2EYYDcHmN4n5UHcH4CLU3b8MhI1kwmijBzCZssgoMsT7lWvrmigVFeIF6e4/06O09kNflg+x//b/gDdfYnVc54ZwwRAkt0ZxGiQ39qEgOlI3B3kHLJHxSy4Bl0r3jSRBQVH8CTqAnKGdUj8HpWuhyLKAW/S6+nayRqMGRciG0QUdLzia6Vz3QJGiovMSFXti5FcMFSS0tfKRclh2csMSF2EACSXv2QzaMDEo0xmjJEEmVyQAA0Osp7SJFuOBiWU0/A63EGSBmtCK5oqN4i9sHoPQIiEygvgYSOEpzXQAzjsS3QzB5cFkhRdRCx1VCBBIvcWr28X+Nfb7+J79Us0H3awpyfwV28Rrm8TbB/bFna1pGZcFk/y7DZW4Gd6SCdJjThnaYpXkllJhZ5mizGivZxi+HgBO0R0cwfjWQyV9wuUNw3cy5tx8W13gLKV9QCKkZwCgOqDIk8hGZDwoug9jGwQsevY4agkBhivT2U5zsGeniRbX//2BsYauEeXPOgq4S70A3B9Rzh+WgOLC/qJv7mGXcxxOK/JZN0z6Gb+YoD52W+SXbJdLEZ7WQD+7TWv7+016iyDqSvE9x5h+8kc/Q8XmL3oUPzka1byznHDmEwY83t3D3d+hrCneZBbLIjKtC07PzU+8hII0g+ITYPsN6940E8myes8AizY+l5kT30K+bFlyexzea1jVQe12QGwGZMZ6yp5nQfJeacPOguH2HUJGYjDgOzxI6x/9wK798Y1luZ5kcV4KfakQznCjtrhq4lIKNltZo0oBaJJPh8KIfrKwG4iDmcZEIFubtHNKqIEFTv54EQ5MBE98yDr1Ut3UeEd21NF/VwrPhIl1QHDRPaAgd/jGrrxeX1fNfcYHeMB4tYXIXKoEVXUUWI3FwTBA82Jxc0/+gjVvUe+HZD/5GsMdw8pl4NW2g3M+elohd31dJXbbMgniRHhcOCzcoT2hLZNplymLOGnBcq7AdUNUD6/B5zF+genWH/kEDMDX0eYrcHqN55rekZp7OExP5f7Tx027z3D7NUTzL7Zw371JrmDoh9YIPYdTbskVRGHXvaYAnFo2fn3A2VrbQt/95AS9vx6myyBY8tnUg3BAKRf26pK4xCanB1YZMzniMOAIIWskfRRI2FB+pVIy8bA5DXMpEZ42HBNLhapcFC5YgzMMgnrTVqL9EwoUrGlBOkoHI643yPeP8D6QFRzOkn5AynSXdUDXc+ioh8kR2Eg4iaeLjFGqpl6kf3t9zBViX5VYfthwNOywf/15k/x1y+fwvSWo2vR5Nse6Bcej5Y73D5M4YYR/g/y3JNjMyLbwDgS0LVzPJ5zrUkulCSSypoVsl80ROb7CcaRwYTfo2tuEFMgDRpiiqA0uh2SPXBS6jXk3JFRK8SCkMtM3iNZ6PYzkxL8opOoQXHBikoqIGF2jE2ccrGbwAvWYI2y42K2UuFY4RtoBrdGw6qLYLaPI9FQOgpf8PutzAPNAARRDOg1RkEq8g3Q7jIU1uN0ucPVooLpDIq1ha8igoko78SIZJjgvyx+H/+73/sG3/3wNTZ/9BSzfy3GMyHAnp8CgzhhFXlyuzN1RcIMxm4Q3iMK/BglRyB23aj5XpKcg7JEnFTA7T1MjKjXc/RPTxAKK8xog2ZuEJxDvnFwwDtucQBYpVdVWpxcPULwadtETtQCRFUCycTjcJDoYKncRSIU244w3PkJGbYNNxsn8/Gw3hCRkMIAGZP24mxCEuP9hvaaxuDww2e4/X5JhusWVAn85CUGQRyMc2k+qQQ7994Togov3/Badzvg+gbTn5ewn36E/UcL+D/+GPVX9zCvrgjhVRUlfG3L3AH9TPSeBLJ0YtOm2F4Ykwx+wsNaVBKWPg1ChnSrFYs/mWea1RLhzRVJhje3/HPpCk1ZwkoOfNrMqiqFS+lGbqc157DAkVXzSJ6Kfc9CfCedQQWYHRjnLB2vRohGIfgoZI7IdZbtgeraiPsfX2uoZZ2KFfAgip3mjKYmAPeCYUKXznwvRcJ8hOXz7Wh/2i0MNEUPgjr4knP9aNjt5Fvx8agV1gTsVlCAQf5e6iUlSWU7gTRrJHazcn0A2QtEzwxoIcO1v3tqETKD8z//AkEQN7/ZwM3ncNMJC9nnr5J9tz0/4z3ebOA1LMdYQsoSO8tHkwWhOzsFLs+wP6tg+4Dym1v433wDW5VY3m/QTz7G9j2TNnQ7RMz+/CvE/QH+dz/Bm78z5Z7YAd0JcD+1WH8wg/tbM1Q3AcvPd7A//+qdFEp52yw85zO2coLguTmx3dC0SY9vipxrxhrETg7ZIofpKa210yl9TTqMLoN1xcNc2Pppf2taFq/e0/dDXUZ9EGOyInENwuFATb9cexBSoyIqUdDB2LCZSo6oR8mlyYpdkLQkiwQAZzkW7clZipmD2VOdYwSNhDHJsjgKKgIfKPmV/cBdrxkqJARhlWv60x6zvMWvN+cIX01R7oVYa6XxnEbkpw0yG9DvcziIy99h7O5tD2QPUoBLt67sfx1h8eayOQ6OBUN0lM3nGyOFuBS2HZtn1wK9qN5sb9KBbjzQruj7oeT34/yUKERZgPtCzLgWhQQY6bIlbHo7xAQjkBRICB4YCXzqLR50IZbC4pcZRMgxyv/cWM0np0E91D3z14epmBSAbygZ/AS6Hik3AJCb20R0RhnPY8eRcr0HoJ9F1K8N6m9yPD9b4rPza7ypVnC7HAhAyCKKnRWJokGxATbfzPAvPvw+Tqo93j51mBcFuzx5uMkH6BGEcBPblg+WpMsZa1kc3Nyy6nQkh8E6Ouc1DdmwWUYy4cMa8f6BB95sivDqDezL18gmExTWIDysMV/SCUyDg9xiQUINAHd+ztdREqA4gMW+Q2iky5XIYuMsojivGPEcN1nGfAHHyj/sDmS1i/Qn3D8wEbE76joiFQhxs4ERvbspCpJpTpbs+iV+1MymCB88wu0PSrSnDGeavfSY/vuvMLy5SuY6x0UUjOXmEQJQFUl5YYwh67nrgDfXmN7cA5Ma/mSK8Lsfw7YD3Msbzn1zWtba1RIa+2uyjJMX/TmWhQZ6di5aEPm7Ox7Y0yVgt3Cnq9FC1RqEzR7WGmSPLjGIf384OujtfEbZX+IFkFjpJYRIPfSjaLWPTZ/c/5es/+iVbcnSBLHPzLZ0fdSVT0VGREbqjKwU1WQzyQRnnJAc9IDDGhP8IxzzPxBEozkgSIANkoWuJrpEMiNVVEaGfiLe1Ue59q3MjINvLdt+sy/w8K44x8/27dvM1vrWJ64uk1d82B9o+iOHqUL+IUNiFJ/HgapdqFpxB0HubAv42RlK50BbBRtToU2zHkLYQR51nWUjjId0v+D/XQdkm0ADHhk39AV/RrWhq6e6kensPjtJJ49xzabgp44oQjeX4mYY35fGeOuGqUjAMBnvhx2b9PH6IxhhPPRn8lnC58rDcNMJTbzE1wMgzB9ODdySB45/WEOZ/6Fp4G5ucPyzL9BeONg+YvZNg/j+jodaP2B4f4uLn93gdDOnJWwA1t/LUH14Dvs3P0H25Vs8xXO01yWO147EatkzQwH0M4vdZ3OUf/oHuPrPJ+Q//Q3i4UhZW11LgxHYCQ4kNMVhIFIRA2zN6w77AxGrM05JODXpOU48I3kmzwsKLSTCqQFa8iR0H9TAoVRkeJ/yRUxZwJXlyHsxhkWTSCm14E1S37aVa2Fxgk7eU+ChrXsnIMVGlrGpOhxJ2qtKmO0eyHPuX7s9TKuZBgU9XJqWhUfbQn0P4uHEbBfx7uDP7tFPLKbLAyrX46ebp8j3RMBhQN1/NPDTgM+vNui9gzm5lDGhnb3t+bzmB5L1IDb7Jopzn0PiCjg5L7OjrK/ZyI/Rub66sYaMD7+Oy9xJze2A5mocJyjqMFRIkdaaqZOItIKqZ/oXPpdqwsdElFM/Yo3HdKLLjRZjdrh24VEOXdX/t1JQBD5X+Z6VUTT8vc4uh1rkfsexwjdBJA9CVHCnUf6gc0M1QMj3o9xBi4sgxAjrTSJJnHYVDqsCq5s91pjB+BzZ0aCfKkMDQAWYpy3mWYP/+OYLZNqQFoSlzFADkp5l8gzIMtiLJcLtPQ91sGtT0wnkIjkCWGkfTmQnDwNwPPLQC4HQ8GbHQyovmLrmHMJ6w8Ce+wdYOYBtXdFpsOvSQjaGSIG9uoR//yE5b9HtyydLUACcJWYZ/QE2OyD3SBJBgM5vzgKCVrjFIvkIGGeTbjhK4hhldez8w24PiLTKiIxp+O5zPPz+hF3gFlh9OWD+n77B8OE2MbXjwNms3kMET03/wxpmz1S8KNGq6q3upeu2ZQH3sIctcnTPF2j+5FPUr3Zwt2uG9PQdEY+m5f0A0rjkPNZWYXm3WgKBB3qMEdnL5zycNzve58ORumQfmBBZ12l2aadT9H/+AwBA8Z97ssal6/HrDTfjfgAtm6dpczNZLoSnJnVGAGC/+BSTNycs6wlOTyzXkxKMKOpI1teqhHGtFvFIXJxoR97MUAMhp4XpqRDPDN0DSoHjJzIflNl7P6cb2TDlYf/0r1koPfz+BO0FOxXXCdPYkQNAq76z7mUGGPk5H2WSi2QpcYaE35AfWAykwiaX0Z/X7gdjqpoTp1EpBqIBqoeI/UuDyV/9Icr/z9+ze51MqAcH4WXC5WsJxjlBE+pC2/JZf/kU5v39OBKzDuaPfwe3EmLlOuDqnzq4xwOhdGPkAK5gvnyNyQ9+G6cngt5kwOPvTjC9+BMME6ITs29OqG4jmpsK++cO/fwsCCZS3vXmLyeof/ADXP7shPzXb+k9cf4M63xbkzqF66LSRR7yIytfEwEBJLKvQu+UL5PcaGSkZkSqHI5H2BmDv+A97GwGI8iZfo0etFAJJZByB8KeSKCdTRG0OSjyUaPftMIXsOQYbbZACKmAoS225HR43bNyKgec5V4bYipG4D3NnkJkE7GnpwvKIiGDKHKYU0t+l/cw15csjiPgTMTpWGJxF5PLpO0N2quI7OqEad7hy80Vqncu8eZ0DJZSKGcmWZ1nJyJazfWI3mnhqnb6igxo4Ys4nqHKBVCyoXrxqFpA+S++JpGwWNNjoluaxHVTsr0GXbmO5nqJUBAyzgeB+BFpIcFyAl/o/3XTUAOhmI1mQMC4Idl+nHUYjBU6ML45gJtEyuMWYmBwZP/rz9S54lCb9PoKKXoxTYBoLiE/yzVA8U2JzU2Ff/X0Ff5j/wWao0N555AFoJ/TEtiXwNOrDf7h4RNsf73Ck4YM/EReaRqJC+bcePj8CTeow5GGFWXJWVQpQUGOFbV7+oTe19st7OKSQR3rDZnK8/noHw+MedZd/5F0LFXCE0uIW73wjyfCY6sl5+jiY8+OMqRFqO53ya1O8uoT9AwgKIt+Nk2hR7qZ2Gkt2twuuX+ptbGZz5PvPY2RTnDTKU5//l08fj/HMCVp7PKfW9Q/e4fhw92oQfY+FSrh1CQtPJEVn5LM1FLUXVzQqKWnbjg+btL1l9s93Kc3OH62QHY9RflqyhjkGOGckqWyMfe8rmEkcAkyAgmnBrYs4Z7csOiQ2GZT5DDzGcL7DzB5ngxScKY+sJcX2L8scPGTbYIwg6S28bMtkmshVIURIosuT0TG3z/ALRY0gHl/C/xii8uvbrD9y+/g8MxxgwHXhWsAm42Imx742ZFomfphuI4oQHaQzcCOh72a89DCdAzL0Q0D4Os218zkWH7lYfuA/eeTZKFtO6RAsJCzo0/jObkmX7F7UqLgaBHMNapdj/p64DDuOyzmRwSDvASMmecZndBcJ42GjJx9Bdz9UY4n3R8j+3f/wAKvrtJhZMoyJcTFw4nF92wKVJfwr97C3j6MnBTrMPzVD3H7w1I4EBHxREY87h4T3M25/IDwcER955GdZK4egf2nBqebPKkfjK+w+tE7TH/9FrP5FP3zFR5+p0Z7ZZiL0fA9N9cGd39Yo/r0O5h/eYB7PCCWBezjVjr2ANN3XN9lSQRMk0k17EojvdUu/HDkehW0D8EDlyuimrs9YieImbL3wfEHrGHUdtex+JfCwd1cC2enhzp1AoCNkc3AmbHZR2FAkVwAU5VseKyDE2MgtR3WfdGKR0g8nQD1+Y8RCJFkTu95TSYChRv9UaYylsz53s3g+fWnhvfLSAKsc0AEjpsah6cF6kmL47OaPJmWc3n/pMMPX7zFYztB83aK2XF8ziHPJ3ktI2quzzbANWZ7k9aeLwDI2ZY16vwncH83jrVCTj5cvo9QIqGRn6WSUy2ITa8cPZPQ+ezI19Vsn2gB9EA2TDU0JCJItjgPXpNIdeq5bweZIyiJoB3//TxKc5jy9zaOMz/VHpePIxyR7eXQP42wZijkezvOGG2rmxE3JnOUn33+s+RGmWL8ABSpGKZA8Qgsvop4rK7xyx8O+MvPfo2vL67wi1++QP7IDx3RILqAN99eofiQYfmKH4I+zEZMfWAdH5SyQPZuDbXYjHKgmUkN/7hmpa2pUhp8YYzA7S5VtkEO/yjdoplNR2vN+TwZdhhnYeZzKRAsg3cUQvaexj0y+x5tNi1MxkM6OiddfQs3n9HgZ39IsLRek316k5i0xrlRFZDRd8A4ji9MSaKN3x+As9Cb2LawVYXmjz/D3R/l8DmLwvkrj/onr4VP4YG8hKlrWN0YAjsOvU8wlptxiKNBCAgPRjHpMVVJKLDribBsd7D/tMX0k+fY/cE1Qn6B6v0RGALs/RqoSsSTbDhSxOgoJQK8x2K3Cpk7qlb6HGo13pOA5CXyWEYucVJh/qqFff+AQTp+I6MF1UKb6ZRhKjHyflclN7UQ2SEJ6cpMJE/AWMTdHsu/fYfJsxVOzyocnllkJ2GaW4Ppm4j8GGAicLq0NN2SLt75saPQ/I3ywaSiXYvqoUJy7gs5iwQTuH71z9O39EZ//xdzziul0NZmQbk3IaPvv7pCtiuD7CjS3oqcG84sZc8IY+euxmCK3CUzIGkiEowpDOuQne07E7Uc5iijfODX3v1xiSv7Q9Q/f08FwMUq2Xj7mxVsN8AMHu7qQjzhPYs26Z4RPMy/+l18+LMyxRTnO4OLX3hM/v3P4bdbuKtLugSaUcZZf7NG9d0bJjTK/pcdgYtfdJj87D38uw8IxtDFLgS4H/8aNz8G8PlLdE+nMCFiqBysj8j2PfLXD4hVie6TFcwQUWz25OEUOQ1s8oJhOnq4C/KnkeiAjACsSf+eCvvDkXN7Yz/mGJlRyx9jhDEuIQSmzjki8BAysaiBhFAJ8O/NpIZdzPk8K1E2SuErdt62LBNSEU+NmPJkYt/cc1+QXA7ynWIiSNqqkiTCkJAOAIhVgXA54/NVZcg2JxpBhZruhV4KAYlJjlWBdmlgjg63pxkuJie8upwj31rYwaBfeZSTDo3P8fpuhckrh+xEDkwszpDvTM4kgflDRvQrze0xzujPG2pgLGoBpARdj/Hr+imLaHeKcACOz83oLgjx1mnos+ErjG651dhsO0EHowOyYk3XveBGLS8AuD6Kpa9JcYTq+Z+q/urjN8LsgBHeU0tD3YxCAZyeRuRbdhPdEknXDPBC+6n8nMKg2I4ugMZzrphgfuV1dSNM6Uug6Hh9SlDMDnyj3dxg8WXE5t1z/Ns/W+Evv/srvHm6wGGYw6w6TGYNhkOF6Y9rVAKdTN4HSm/WG27Ewoyl1VNMLHF90OGZ9GUXC/j7hyR/gfdJ4w0j1blEXQaBumxdwUgGQHj7njHAqiWvSrrHtYTlTZHzABJ/ALdciEtYTHP9OAywywXCZkuCW1WxcAkyz79cApmDPTWJgW7FwyA2R8JvdU07UYnTTClhtZEiyMI5B7/ZJla8m8/R/en3cPfHJdrLiGxPud/8Z4/UF/dCdBO4DtbyHubSbop5CN+YQ+wase0VQtF+T9WCsYj7HT8DtT8VGZ57WGP67QR2cyQCkGfsABYzWGdhtgfaoArrnpshEQ2VL+l9hyAN7uJi/HogSY5gVQY5h9nukTuL8OQC7nAkPFqR/JTGLofDmDGgMG5dw5aipDBiTdtzU8o+fZEImO6fvsT8JwbzZzcIixr20MLsiQAhRiDLMHtxg933Zth96ugb0HKNKExvBnxECPLVSKxTpY6vxLTrjPlPApNBuyRfR/lCKlnSJiAa8deII4Jge9lsTgBESWT9ON+kha+M8lS6VI77wlABhYwBfBFRPQhp+Wyz5KiQBb+yraNI7oIB7n+/xHz5Esu/e4fhq294r08Zo3T1MJRMDeMsizTnkvnU/rMp+inSKHLyLmL5ozcYJNsj6mwdGGHrtqdMUjLiTSTfavKLWwzffMvvYx3DYB1luv/yK+Q/5wGZSXEJAEpzKNvPcPi9p8iuFsD9A/w9D9vs5QvEF9e06j023KeGITUd0XsqIRR1A2QkxRFgbNqRyzIlD8I4x5EkwH3jdEooRxohCOJJcp2gdtqEyK+ghFxRJ9jplHkSe8LvahLEiPHDiDAKoTE1NhrVrsqGoZf5fwUj3BktvAGgu6iQbztkdzvgYY24P1BeXFf0J+h6QRkj/KyE64Dp1w5f1zf4q9//OZ78cIdf3t9gez/F9OKEIhvw059+gsm3GWAwhublAI5AEERcg/IYF42UAaBul8UGaC/GEcBQjeMxLwh5KAXDjUhQv470SHJnKJ6JSC65/Zx7aL7ls99eYPTokdHg+a8sZkg54/pE+sqkitp1IGFAZDfdbOy4rWczl3TJciEAEttb5xSqaSzvORdRIqG69nnxIcj3/Dl6E1zLaxtqIgChoAGKOiPRYnTUUOo8BgovRiSIxRf8mvInNf79N3+AUEbESUBsHLpfXODi25hgUF2wsSwYBBSFqCUPpHbuRti47OiKNMey00laLKPkLCCeDnDiChhWc8SnK9jtCabpqLHf7pN2lgtxArtcJA9y4+yY7jWf0ed8tyekuZginhr4w5FOX9sdxwNVRbewzI0mQ3frZImri9hUFQ85mX+j4SwUMfLxUKtdLUzqGsgmsDI3dN/9AtsfPsHj9xmgUawNJu8irv/TLfAgbnpnhjl+t+MsUdi9xlOXr5a74fSY5uO6oZiMBZUG0iTnMOdoDCI2wPbL1/I8OJIYIzvs8OwK4WYF23YIt7fJ2c2UBQ9175n2t98jdn3iBZjpRLqXEd6k+oGKD1MW8Ld3sKcTzIunLBxV4399Bf/JDfafT+FLg8WvDrC/fEWyoeY2qCtbzjFBkNlmPDa87wcWZdFa2O0e+OpbeO/F+6FP98D+ZsDcPkfI5hgqQ9MlWS+a5DnUDBVheI35yEMjOG5Oronor7i5uTai2DGq1NcmmQ7lu7Hw1tml8niiE0RvZZIySNe0+pQDSGQ/M8haDkQjY2YIUZ7IBegupPPeEz1Qno+SCNX1TLlIEFKWr2i0MruPWP7/XjNdcbEYo7djIM9FpWiZIHnLRXoWui9ucHhq6Soagck7g+WXHeJWZsnGiJ8E4fToOQpDP2D2ZsDxaQ5fxdGP/XGdNmCuuzLJ2RIXR4J+SJwTnw7tlAFM//E1kDn43/0O3LFD+OVXJOwupogVmf5xf2TxLEFZil7a6YTI2fEoEruS799qVcWCwCjyJiMCv90CxsBVZRph2TwnGjgMiVhp60oOcydxvX1yRWUmQEjZFwgeES4VC6YoEpSPocVYQhC9sEUO+/QG3WfXMENA9nBgqx0jzLGBywvEw4HXutuh3r3gvrfeUI5tOMLwD4/MRZH8lng8IZRZIsk9+e9z/Ohnf4j973b4k+99g2a5wc++fYbm/QKLV5Lkd37uAaMaLuP8X615rSJtYSxuh9nYNGsxrqoQQA54QU/JlUNqxLVp9yWSbX7IRSqsqFgrJMKGkutuZUZDMEHQbC/HtZoAaU64CTK/0E0hH2eFrpFKxSKx+xMTWeC6KHBePx/RANVQhvKs0xBegOp/aW0a5U0YJv81NCrSn2MGwAij0jYC99UmhYUAI+xi+7FiDzm9ut0xElrpjeQGsBJWicYwkVl8YF54rDnjAoQpm/NhN5c1fbd3ezHakYpXZ3JlwYUWz5haxyM3iLYjgcxaxFhSwvK4htlkNPQRuC09+I9rdsqTOpl+xEOfzEsS0hAiO/Su41y760dZz/FEYxxZ1GG/G402hL07RoCG5LinHIMUauRAmVSWU4+7mAHf/xzHT2bYfpGhuYLYtPK/cht4T47HVAjpBmeyjAvyTEJpikLyynu4+XzMNpfN0UgccOw7huoA7NJcGAutfuBIRCBFu5wDMcLvDzC7PeVUVUlpZtOyoDmX4x2OibUMgJawEuzjhPDo7+7TuMNcX6J7eYHs2RXw6j1HIy+vEb54ivz9BmFWIWYW02+PPKBOPaVl6/UY4bog9I+WzmdOIkmToctywYPm9o4jpmnNe9O2I4riHPzjBi5ErIZnGFYVNl9ULAIy3WTMR/9XeZ0W3a7lRtWu2ATke2D+rYcJEevv5TTwEgJuFBLTkEua34Jk2igFgcL2xss4DUix3hBI0kWu5X4xrlkNBgoZ0C5l3CdNSH5gERONEUtqJKOd4jhygaIFmhcD4CKyb3K0FwbDy0vg21fwQirLnl4ihoDwsOY9LpkMGXa7NK92qyX65QsMNbstmqtEDFOH6mIJbLZpXKDjoOzzTxAnFYIzqN7usVwusfkun6V8HziXl2eX0l2uZZOPTHttAELL5zPJ/qxBuH8kJwiAeVPAPL2B/f53Enplji3iesvi9fqKmQHHI5KpEMBDVt5jmvNblwrtILG6sZeAqtl0HHVJjoWy8OOLG8Ba2F8HemVI8WCKXGJ490TVxInUTCcwnpyfjzID9Dp5gVAzJm247GoJXCwQnUX+bkPfgw15EKauRVFDREOtvYfXb8iNUkvgokh7KN+z5Z7oHNyxg+0r9FM2leUjUP7HHF/93fcx1MDEIfE3fAHkoo5RbwDt9JPuP0gTXGC0zZf5uxJv9Xz1ZzyYaHnOaqQwIPwa4fsYKS5IfjcJAYcZUQJfj9flS/NRE24Hfr1rgSwx9c/JftnoNGRFqpOd+GbVfAdAmjFYwx+u8iOv8GDBr3Wt/L1KAnXjEUJfKAF30EqHG1Oxiyncw/gIO8TUwevPyU4RPjeSVWBGHbDOEk98bVUJ0KjIfPTAqR8B44VlNirroZ8bxGzUw0JMfMyE2vHY9Xwo51OySQXmCjLDMos5mad5BgzCXNWELIAEtjcneO2q1TlLQnvC8cjEQTmMFYFQXS36ASYKqa/r0rzeOAeEkcGrh2jcH5geGCMPkFAlKA99jxAjnQMlrCYOhOd0IzDie6+bht942M+f4/bPljg+Y1Wc74D5bzyKXUBz4dCsLOzv3GCqpDaNv5XugJsA2clhfzjrxEi2xPGY5Hl2PpPvNZQRASnhTK/TyOcCED0BkGaPxhiYyYSHpoxy7OWKB/ZmC3exTN2/KQpuvto1nE4IZ65wtq4QvId9/hQf/uo5Di8NJm8q3ACw2yPsSQqteQ3Te2SvH2jZKuMZD8BdXwN9R/tXkXL67R7uYsnN+nAkVGnH8VP0gZuwMVQglCVZ0V4KoOCZSOgs8tfA9Zsl+mdLdKsczYVDP5Xc+lqUN37s1jORCEJ8BrITsPy6x+RXj2g+X6UOXlnOuqER4jdpAyzXSHp8Je2pOkFn/a7HR2x+M5CvoM2EHQjnI4zdfrnm95BTQPBF0wC5L0iwlKCX1bsMvooYppQ5H1/UmGiQT99xhBZ8Mr4Jmy0dKY0dg5lENcDAq4jFbwZEa+BOHrEqkL14hnB3j+gDyb5XK+aWbA/A/gD/+IiL3RfoZs+Za9LRw95pqJAX61vNG+iHMRSoF5a/jBYQPDBEkvv0o+g7DG/e0aGwptdELNm0WLErjx0NsuA99yIxmzKtKpqKFBkcTqcxNlcO3hgjsD+wEJFiGgB/7wPM7kS3SLBg0Y4/ti2/NgRpICwJhIfj6B8gjpj6ftXem29OxoTC+g/rDWzbcv+tK8Q17datGAJ5Sel0qyWRMkDQlYHE7N0eZj6DFSRSA4j8/gC3XCBaywbUGe5bXgh3DU3p+oVJBXMo6IOUnTCOABqkbA6VdP5L23yV6WmmghJ1FcFyDbv69sKMo4BM7H/lKIoOgBc+XSZj94GFaT81yf8m62QkJih9AAsDPZPpBCgXwIUnBIVynBuoKZBCiEpGSGEQEcnRyJxVGCmut0WKOEzQfHsmmZA3PdRiLiK6Z8jmoiMFMwAokCKC6VMgs8Zs/GA0yKjYnH0A+xEdUA9lvaGhGL9O308yVwhAe12jvroki35/SLrSFGfpPQ/XLCPEVJXMid/s5OAJfLmWcHGMEWE9zuRjjOwAhSQWj+w+bV3xgLBMrMPpxAUijHxTVYDpPj74lBkLIJ4sq+JhkNQzVt/xeOImIN2jsnnttGZugcpqihymd6PaQEM4BHGwsym6P/ku3v9hleSdxRq4+ucO1X/6BULbYvL8KYYnS7TXFXa/d4XppIT9eZ8KHQR6e8MabhpFDuMt1Mr43JbY5AUfMDHj4TyesHeQA1ujfKMUGcZZOqHJyMJOJtBYYHQDN/jjkXJC5WQ0a2jamJ1MgBiSGVAcBnIBTiduNjGi+a1rHJ8aDHXE/nOgfpxj/uMTzGYPd3DMkZdYZS3sjJgEaf68yjZNXcPJ7DMeT7w/muDoPcx8DjebSWQ0vevNcs77dTbuiWLVGvsB8e4e9tcOk+kE06fX2P/+DY69Q3Nlkm45ZOPs0jUjIjf92qN6fwLe3yJ+sUoE3WhltNeOM0nt3m3H9TPUGENKzmR6NnBTCoFr1Ff897yBOH+OyKHGBasCIJqx4+oWAqcb2Z8iN2hV/2RHCAdo9Applhbz+XyUrvUdzGoJ7A8Iux2sMchePIf/cMd5+dUlsFog3w6Yf2ux+Nka8TdvEhoTa5p4mU9fANMKwyRH/tV75igIyRPGIG53uP7xHMMsh+0Cjb+cBT7c8wAuSz4fWZZgePJislGiCCQDGzObsvtVua/A86Zt4aylIdd0Ks9Azz1A5/nFPBnoKNzuPnmO9vMruGaA/clXfNZkH7F1lXIS1IgnKYpEumr2BzY1TqB8A5g8Q2haxKal/4lGGp/tMeEsthdniIQ54z2EpoGTxMaw3nBs2HWAjEQhBOhEAHSOv5/UwImzfZNzLBi951iuLKl2aFqER5KSaYEccLqyfH5ngPEmPc+ZIMf6vGZHHrIqqVP4XSWcvh6fVZ3/D8XHa0QT+1wjYVg58wHyrUnhWAALX3UAVQVNCvjqx0Jbi+dyjeQ4mEKFaikkjkiyXKbvWlbvVqH3koe0GcbKRMk+JqRiO7kNQaog9UJOlamMFfgHJLc/K7LAYSJ/JwgDbT3FBrg16Rp8KaMHadpcg2QQpGSfFBYCQRf2ENm2AAEAAElEQVR0dFGMNwhgwZEL0qC+6tGMREG1R/Rys1wLHJ7lqC+Wo9sbgHA4EGISnTysk8OU2lvqcYNs5EfqTAHKYaoKtu95yNQVCwHvEQc/ysnqiou/yJPtb/RhPBClcNB5mhEtOu+1VNuzKY1B+n50E+tpkOGePkG4WACZhbvbsDjpO8JsdcUxR/Ap4xuSuIcsI0T9+Se4/4sb7D8xKQazeoh48tdbmJ/+GkE2sLjZwR1OmP7GIi5m6J8vEP6L30V27JG9fUS4e0A8jrGkGpWc4M2yFDMSMfyY1kwYPJzSpmHUTlmISaau4IocZjZjh98P3CRknq+wunHs8qLAh2rMpPfYSvBKUMRCH+W2RWialLbYXGYS0sMkvmZlsWh7DG/epcQ1tXI1X3wCDXCyr95yzly2cOI/Hw9HFmeaY/70BjET1rX3/CwXM8pIb+/4fne7McFOERwdH4jjoLGGCod+wPTXW9h+jpBllNpmlMHmO5M2Fp2x5zsPuz4gfv4Ch2d5WvzRch3rWIGOhGNRrb4DGtOtUiR+8VgMaNGtYV5GCm/ND8j3YzGgLOYooh2raEEFFPcyB83oXaABQ7oncfQYkZ8Y0gUA7uUzhNkEZn/kGgOk2B6g0b/IMpj9Efl7i+JXBwyC4PiOMeDZ82ec3T+5Qswd3L7lZyjW0+bqAjHPYLoe7t0jD64TLYhjVZBXcjimGf15tkSC5wESe58RZjebnVjcjjK69Mt7+LsH2G6G+OQKxloM374an91Av3xT5IAxNPvJcrRfXKFbZph8w/ETesPnSRMvvUK+tOCNgftZ6HoWOBoupCY9PqROPhmNZZmEX7mUdGhVZXRmtaz7VCIRWrL61XlQSYFQ9ZBztCUWNZDJMwkDE2g6y+homllKpeuKRbn3H41ZYQ38pIDryAFTgqo2nL5g/G604o674GGtpPTkwImxQEiNcjciYtlWkACDZGsd3Vjo+uxfWAgbOce6s0Zb1XnVWaNuiezpGmaM9oiCq0zRKyovr5dZDxhxAkw+wQ5ANsJ2ZuCf1Wc4eQOYcUSgFUl0gFHuSBBm/wwILsINcoG1/Lv8/lwDPF1TKhREnupkDuLz8Q3D81IVRrGDJAjaEZLU4kBXkcI2JgBZGzFUJgWN9HNWc0arJoMUTEK9pR9ncrsdGaxi6wprWFEH0btmmUjzAiF6CbJI44MiB8RNDz7w8I0heVjT3MexYm2EANYMMiuuUuwt/JFoRD8wIEMOTwD8vxhy8OHmtbvVUpQAAXbNjjEcjolFaxcSCvL4mEg+6jxmygLhyQV2v73E9nOX1B7uBMy/DVj90yPCr75OiX3qb2+8h29b4P4RxfYC8XKJ9tkc/js3KMoC8dXbhC4E6cxSp6MboTKWTw1wfYEwreDKAuHdh3GGrl/r6caGtqPER3PQE6OY5iGh6bixqjucKDrcYsGD9Mwe+Xxz1vS0cDzCzufImpiiqSevBUXKHHTMY6oydTvuYZM2HbtcAIMwpsUuGnWVAp9i0/D3RY6wmgHbPRMND0d4gan5obqkaY/3D0IgZIywnVDb7Ndr3pOmpVNbE1DsIrPrrYE7mTSnV08AbjwWuHtAuPyM1yxFs0b4ZqdxswluHKfxBiHJAtUIRTfEcw8RJQmr3h9AIlfpnqLeB9EhjSOV5+NOHNXp3F8Li6EGMBm7nuxkUN3xoMo+/QT+Zgm7b9JzRs+LAGsM3OUF4moO87il54a4OpozFCcCHBk0LVyMcFWFOK1h5jNkqik3hhkDmx3n3nmO4fYeDoC5vgTKgtwWGSn62zvAML+Dsb853CfPsf2TZ9g/4xqevb3C4m9ejV4WanMt6zUcDlQgfedF+iiSBTbAzr2uEhfI5BmK1xsUHzLg3S0zTiZUHHGdSAEsHgCqlDEA/yw+FgBEJkiDnlRIyzOYUDNjqUTQpuhfOBVqPkocxqjvFPstst/YdTDLBY+rTjgJ8zmcugqKX4nuGXa1pKvgZss9ejFHFAMotTA28xm60sJL0I4eoPr8DjPAPcjYuTLpYA1OmlrPpFpNqNSzJlqkHA0dUQPj6Eol8v1MigZRr4VIlNydOA4oT/QP6JYRrvuY0GekUYcBnAIjSr7HaMOfqYRf1mHWgFkAyIDgRt1gqrTtxxWGWhDqAkvxv8IjUMhumCLJBlUTCdENJ8awVilH3iwnB3c/kTdQGOTHCGNH1nKx4+9TFGIGQQxAz/RTRLskhBOBJMdIc8dWNrdiLBZ8IaiCjzDOpNQ0TVIKmYG/XgCv3sLMprB5nmRXdjZNYTmp6gwhdQ9029uOC1QUAbpQolgFQyBilXJpR6LZ9hrmkX6JjhaiMjDiMhi956I3BkliVxTMHWhbPlVlxpHC4EfCoiWrPpn8CDSYDtfpFO3vvMTtDyu0l5yL2YFBNDd/f4D98a8Q+iHNBOko1qcNiqQmiUW+fUQ5eDRfXODDXz7B5c/mcD/+NYLCnM4ClmY9drmACQV1yX2P8NDCDgP8Dz7FsKhQNC3C+w/Je1wh+zgMMIoQaHiJdA2wjiFB6w2hyCxLBke2LEmUbLvk528mNVnEj5sU9pNkU22L6ZcbAEv0E4ty4+Erg+7lBdzVHGbXUI6lJkR5DkwqCWKyZINnGX+eZCiYugJ8gH//gWZHbQu8sYBjNkEim0bhSohdq80z2LoefeuvVjAPhEZtXSMcDnB5BtNVyI49pu+A5irH4dk49iu2XC/dVcTkHWN78fQGbtdgcluhn+dol0jufho3HGRMmMi3ZwU9LBE23Uy7hfoAjKZDrmNHlYkCSDet/DAa+yTTsbNDPlRInRptVJGKfR1bImNhU+yA8vaIACDWJey+gXnkDFnZ7aYsMHzxFM1NhWLdo9geEv9EZ+LGGErXAEYFS3Id+oFEWoBreLcjoibFMBxHcgrXO4AIQd/zeyVsjB3sBE5GjM13rrH+LZd8F44vLNrFZ7j5t4C/vUtrC1mWXD6j97C/pgrGLRZAWSZDI5O09WTgh9MJ7sMdnyFBjrxEJZv5nIVCDHyf4nMA5z4KFDpf5+SqsPi1ohaISlQVcqMW/KYqYUJGzoSsUy049F6rfDbsDyyIK5H4qVGa+Gy42ZRupOsNRwtZniTYxlr6HBhDx8EjjdMgTUT0Hqbr0a0yIHC2Ht14KOd7umD2c5MQqn7JZypIx16uR6RZEeiUxlcCfspnNN9TYp6M6uR8VNlgyr7I9KCmzj9mBu3FiF5H8fbQc1bH+JTwys8IIxLvy9GB10jhHC2QhUyCfuRijHb55myuIPBdCuMAUrdv5SDW5DHt7q3ojxO8MZiUAEb4PyJrTIr2zA5SiOSGsj6BIUM+WhnqzD87SQcvTMqsiRgi44J1LqLmJ8ZzvqhEQF8Dg6FNoi+NWKMCgBnHEXZEOEIG9IsCpcD38dQINEHDC1PkPOzaNtm84mJKx8PHNTd9gfwBJLJXVEIapGMXn+vUAe723Ei6jlWqsry3exIDgVEyJwv7HBbkwW4Je8t8zc6mLAy6PkWNGokyjj2lcrFtR3Z9XcFeXqD57ae4/70S3QKSSgVc/2OHyY9fwT88kpQolb7Jc9obq4JAmfkATG6B5Qzm2KB6vcPx5gL7Tyqs3l/DCCyvVqOJwAhCoFGCiJBlyF8/CPQoZKMQYcsSfr2GnUxI0NsfCI1LDKkpS6IifYfYUoKk8L9xlp2I9zAdeP83W27g1xc8HC5XwLSGWe9SCFRoWrhv32J2asXpcQfzyXN0zxc4fDrF5LVBdjgxa6DrEdoO4dVrdnliWJI8D2LgpqZwZ4xp1GSKgkSlWcHRkBi4+M02JdaZLIN/3CB7cg1/MQcsYAVdYgBMQY30qYHb7IAffIoqAtHm6OYGp2uTugadrVe3HfqbGfplDjNElOsAwKaOXJnPXpAyX4vvh6B6qtTRYkC5BSYgbVCq48/2XHcqMVTGspKm1Bio2P2PR42KwHAhjD8//ZsFJh8C7O4E+8lLhN8wetd98gKoF7CnRorzAHe3w+z1Aw9wQXtUvvqRyRZASWqek4R2PCG8ecd1fpYrEZuWM/vFHLHM4Z4+gX//gchensl+YgBxsjPOITw+iqNmg+rLW8yevcDuU5uy3A8vDVaf38C8ep0kvIwnryWUKiSXUJTleFBblzwoVKoYe/oEAEgkPPXZgBDsACTiYdjtAe9hRTqoluCKLKYDH9Lddx3RPUUS8gJqfIauZyz2bAo8vUGclNxa3z3S0lycNo3sW2kPc3Ysds7URJBRgNO8hLKE+eQ5sD+mcaa7WNLx/sMd3MtnlHHvDywynEnNq3rNxIxNoHbTJIuPrpcfK83YmUfhlOnoKuSSYFlQHqiKu2JDEyFfsehQF0w7AFYQM42WzvcaGiRnlowFACHXy6zfeP6M8jGiuSEaoQZgOtbu50gKvgxQSI5VQ7I1xAihaxZAChnR2Z+iBTLDj5aFgKoKfC4LOSAZ/mg3nh0l4nDLw1kd/WLBC44h0o1Q9MGcs0T42qCbj4ZAKtfjHBZAQSZkfuAuFjPOJ83ZhsBkJZPeX/lIWAdggENzaZDvWCCEgp1S+ewG4dVbbrjLBWfyqv0FAGOYPZ65Ucs/nXK2fhoSKzZV6LMpF8JmSwhefLHDdod4/wAG4gxI/twAbJ7BOYk07fok47MaWSoHeXLHUrtdTds6iVwwz0Y/AK3IBbLmhyQuYl98gu1vr7D71OH4jNkM9QeDJ397RPaTr+DFGChtjCEitiduenXN9x88/MMjC4S+A9byfrcHXP59xOmzJU7fvUJtDMJXv0mxuSl8SVUBeSYRpAPipmXHI9C3OhKaoqAvurp79T03C1EvqO2xzu9tXdNYaDLhxu09/KmhBG8+h5FZZHxLlCH8+e8jixHh9RvYqkpdh7qb2ZsroGlRfnOP4u8eYa4uEmKAPEO4f0jWq7Hv4FbLNB/VBEY+hCPaEz1tkHXDNUXOQq9cUSLlHA2i1hv+floDzsA97Fk0vHyG+LBmkZNPSMxqW9hjh7z3yDcN9t+ZYf+pRVcB9XuDfGPQz4H2MoftIw5PM1z8/ISs8Wgu69EKXDoXO4hkSbrzkAN2g5RbcD4GsDsmDCaC7jaivRSXT5HiKjdHEYZzArJK/tRAJW20pcxQK2lKhBvUL+gOuPrxA+LdAw+F+Rx2UpGMd79OttNxGGCtoQZd7j3AcY3Jcwzv3idXPNptBzYFbZfMtvQZS4fTdIL44gbmcc9xwNWKULWhm2cMgQV0jLJGevrlnxrycB7WuPz/etS/8wzbzwvAALO3PfJfv03GQLET/s5iDlwsqEhSe3G1KFYEI8u41r1YUQuKGERtQ96NhZlNuK7evOU9mM3YtXuPEKIEhpkR1ZRGRQsNAPDrNX92USTO1Lm1MP+RRF2XZbB+geaLSzTf/wz5/hNMf/1I/5A8T2mqvOcTugDq4V8UNFYbPEd36qHy/AlilSN8fc8CwXvEo1iyX64op9xLXPKLp4Iiy0F8xtYfZqqY4VoOduy4g+OZ0YujLoQDUz5GdHNDfs2WZ4uOtqznmdiuTOLLpHGBjOL1bHMN/9zPkDh5WUMxSDREx5SYO9T8vcL9uZyt2ijHjIFd50Z6GWShGa38hbWrVrvGc117HQnIgnQND+1+SjavjgB8zepFTRBCzn/XUAT19VbihEoY1FHMdpGJSN0I72vSoM4eNTKY/gIGyOXm2JhmN1QgRPSlSUYLxVay06e6cvg/ndt0SwDRID+OKEJwwOnSYL6cwN6WyC5WGF6/Yaeph6y1NOvJHPDIZD9IWBC5AfVoNFNXcNMJYgij5r7OWImKV/9HPvnqiw1BClSKZyXu8pPnOH1xCROB8tUMePM+hWMYSb5KpL5k7DFC2IiR0sD94SPCm53WiM4gOwXY3qK6N5i+CVj+cgfz82/g93smrEWJEVa+gTJxuw5RGfYl+QlmNqU+H4B7/hTwAdW7A5qnEzSfX6AePOetvbLmc8R+TxvRpkHY7hNBksRFjl9ohkP4MO52/Dym04Ss2NksEQZpxnQa76/M0u1sing4jnNTkRv5eQW7qWE+fY6+zpC/F0LfdMLOqe8p9QSQZJqTCqYqgMct0QKVQZ3Jq/wjmdj26hKmKjF8+wYOIOrTDyklEd7DLkhojPsDvR2kgElyU+d4oOQZzKmFfX+H0HYs+g6n5LJmK3pCmCyDuZfRVJ6hnhSYvKmw/4wbSn4A0HEMN9QW0QH7TyoUO4/pu4D9S6IAmtI3yofH5iEIXF9sgPYKmLzhum5XEEmdjBuWJu0zJvIW+uLs3xdcz/mengA6XkjOamEsQtRu95wUXGyAZ/9+g/j1q2RHm2R1t4+cl1t5LoYhpe651Qr2cgX//sP43AEf8UGsIC9aVEbvyVbfUaXhVkvC/o0gbqcG5mED1IRJ4/7A9dk0HIEZS6Kcp6cHrOOs/9SgfHjEk78Xv4H9AYPo3VWNBO/pJdL1iGpdrWTj6RTW2NQFa+yuUZWBJvlp2M5sBn85Y7KmHNKx68aAs66H3+3oBXK5YlEu1tnqF2KndVLP2MWCe9LWpqyTlB0ynTAzBYD/1Vcovv4W5n/xx7j9YYnbP77B/DfXWP7qiOy2gG06FrgH2pSb2VSSBhuqruSzcWLihLcfiM6UJZGQwwH+jjkkxlr4wzGNPE3TwRcmWU9rt2wHEvNCDhhjPiaSy/PXT2luV2x5lvkJ0FwaCQAyCVFTHwsMY8GaCdu/XUnhsBakQMZWXmXscqZlJyTFmxOEXQ/z6ABLMIdIg+M6LNbj2lA1gaoTMjtE+UszSvf6sarolkJGkIokuLEytwOS7EE9stVBzwvT0Z2QLDQJaTCJLM3yZKzg+rFSyQ5xfJ1KoRSTZoDKhHRSJKjZAV3KImxPzwDXR+TCG3ANQzW0eFGGJSJvPiaCRkzlQyxZtbmO85fN96a4OD4B1ju4iwuSAS8uYMRdLzyu+UCquYyz8PePidHqshU3i/0BYRgYGSsLxKyej3M5+RpC044zaQ3uEZfBIDIcN5sC92tUH+75dT6w0tXcbFm8Ws3Hrh/lRhVnaybPuYDlYNADFWUJ+7BDfeqQ7Sl7yt9vgc3uI0cy3RRhLLPuxXUP4Agh9sNYWGgSIYC43tC+s6tQATh+MsPh955g8lUJ8/aW12SZNpYt5oRQHx4RWpOkgEGtf+dzmOWCqLHKqtLIpU3vx6/XJBiJtNEUBSAEodiTBxDaFnazpbypbdH+8aewq09hO2a+x82W3I6BxMjURWUZwt0DD9rlAvFigbics3OXzxN9j+HDHayORQT+DS9ukA0e/u4+Ebm0uAxNAzMMJDJVjFmlnKtIGzgA2OUcYbNDeH9LxCcwZhvDAHd9zcIrzxHbPUJr4C6WtKM1Bu7tezx79xLf/m+fsTiO3JyaCwvjme53uja4+UePYuthry3CHKhviZaFMsJ4M8YRC7cmZrLp7QGvKJ00gCofVLRQf6+onBYi2uHbfnT7VI6SbtKuoQoAGOepaqLy5EdHxL/9CUdQGb05KM3bEx0KHjEaICo0HlgUZhmLLwnX8j1Jo/j8JR3ybh/49cfTeLAOA3zbMrBKpG/xdCJDXefekwnVLIdT4gVpPLTJeJhH7UrPNPLhdKKRmLyP8/UN+JShYdWrQtALI+sAWZZGC1rYxC7AqtT4eEp++8Obd3D7PXk9kwnHi2qMFYIQanNBLguEs1GfMvrDng6LVCRxRGLqik3A7T2vVUYEMcREfo7DgOzf/i0++eY7WP/pU6y/b7H+nQkWv5rg6p/2cB/W5E04x/sbBhZLDuJTQjMsIwmn4e6B+1DTJGlv7HrEpkX2/CkLdE9PBxju/9EA1b0cljkAaW5dEwGYxMcgRwwpylrH5h9x44QvEwrAV2MQUH5gU9xcjge9Nro6FtM4X0XglXSrWTwqQbT92JCrtLfYsuoI0hwDI3LWT4GYi1dANEAoDbolXyg/IzaoKYi+IZ37K6MXEchPI/lGnYiMJ5QPYDQDkkPXBJO0lFpkmIjUpffixKeQX76PHDsMEchMSjVSWFHzk7VCCjndA4t9wOG5TVCimiP0c/leVQV4oNycdRQjrwWuISTUzwyaC4v26Qzl3SM3hosLQmxlwcQpa3mYhsCZW5GPpDipcMPxKM53LXw3uvBFZ2Gio7ZVyHuJKKPxmIspq/s379OMzW+3qVOMu3ZkKgtRI3UqwSN573d9mo9DZ3jCkg/eE9rLC7ocHk+wfopCwkIgXRKAkfGr6ojjEWEXOK8HKOU7ggeZMHuTy5c4klljWbQ4i+xUo7nM0F9NkVkLe2wQHx75s5oGOLE9TE5mcvC5+ZzwuhRTADgq0GsA4CXW1C0XaTOEc5zbC3SeYptns/R9CBHl3Qmm9TDv70mkkvdiV0vp3kgqiiJpMnlBdvi794Q+P3vJAuN0ogHMYkY0pCzJNTieYH/zlpIq7/map+Z/JD8EAOQFr+9w5DjBGH5fDLR+7Tv6OWginTja2dUCrsgR7lmgGGO4CYshjLtYIT6s8fw/LHD3hzWT/0TXTE4O1/bxJkO5DXQdA4vyckOk4PwAzw8jmVf/rltIgV2xMIhn67+5jijXBjgrAMrHcQ+KkV0WcDaCPOMDRMtRYZwAGPj6xTri+m8eYR+38Gp08+lzIm8PG6I3OvY6k4OpX77JHPzd+EwBHAX4Ooc9NvC7HUcFkoBpimIkBQOiAgjSHfdjt348insjfR/89RL7v3iJxX++g//FrwErTqBSTPstU/mcWFbDCSowDCxm+46qpIJk2RROpYY6McBMp1R/3NzATCoWxcLZUavgxOMRknI4nCgbLksSB6WQMHkmpmWRSJyOJycksKrpVsq7ePGER0NDblF8HO9p0FGINWPomfiV+F9/jfmXv8Hqd7+HD//FJY7PDJrrOS5/WmP2o28Qug5hvaYZliAY8B7u5opoyGaXUAvlFUU1VfLcn2PbJm7DcE3r7HNkOiHJ0mn7yiQlSkLHh5HAl4tCTlExPbiDFMTZkWOCYTrq8ZWknsy1zsZd0SHlY8QzNUy5jjDBfKSq6Rc8A9Vfp7kcLb6VtB2d8AkOSPy2TOVuGlMIEMZXEyAl0Sg7V98YhHnry/HPIZeqPVCWF3Lx9gcvUJMEgTEModgJUaKg2UJ03Ezqu4ihosTHbCUIKI7SvHCmUuhnnPMBMkMJBtFG2pNOxlhULV5UFlF/iDjdkIgYMkIlai1a3cWxGCD3Cd0qQzmfItw/EMZXiG0xAx438O9v4Z5cs5IVeJ3pcYaJWDMuVGxo0xljhImBB3jGUB2TZ2My4HzGzcJZmM0e4XGdDlEnBYh/3NBoA4CaXpi6Sil/WvEmdYI1SUGgm0zawORrQ2IMF4jCYFezHZNRZ2t8YCEjDGpYdi9ht2OXMZ0iuYCdb7Bqn1uJvHAxw3A9ByIw//oI0w0YrmrE6wmKMoeTzTuc+ae7q0spZuxoaCTjkxgiYstgIzufp8PcLmYstg7UfZ/HICPLWLj0PWewEmxkZ1Pg1S2hd52fyvw+rDewwRPKBIg6ANyQL1c09ClyRsXqe19v2bFJlwYfpGCMsnld84DOMxhXpq4uBhr7GGGcq0cBnINbnMk/hx5+vSEpsCyAHdiBnprRiEhzHjwPB3f9hBBqP8D+9T/hSfMD3P7ZAtvvAsUjyUS+IDdoqIGsMaLAoR2vO3HWqetcO5Rix04jzR+H0Q5YmfpKnjqXNWUNUryvCdKQFEhyQzX6Ugtx1yF1asaTWLX4zwMm//k1/N09/Q68hy2mMIcTYp4ByznM/pC4Kyo703sfjke4iyXci6cIdw/JpdPf3gHv3mOQbpf3uRyfzVwsfK0jorfbIRxO6bkNA9euVYRK7Wkj4C+nSYIKIJlZAeDhVlcsyvcHhoPJyAqWr5WKa3kGAYxx07sdwjqkA537ED0qIGNCqzkAeU7SMCQgSZU16gTqhJukBmg6/48RRmbyKcTnckWkbH9kwaWmZdJwcIbvEsJgijzJmV1VIvoA/9Nf4cmbBYbf+Qyb70+w/SyDHT7D5CdviXQpcdEYxpmLzwGtio88tpK7qBYuecr9iD7ALuewzUBEWjrq6GS0ZAAr8/PEcxM0XM+iFLIj46hzK3rXjd+n4yqA//4vSYT6OuqYaTzGGGyMUP8gZ5rG/LpOIu396B6ohbSeZ3rd+RGSkcHXzXol1DUmwesh4wEd27GDV6OOYsPDvVtCPJPHN5npixeMFY1nUiG15zQRgOdoIYUBtbygfsbkuGEqcH9mkB25AWkkaSbzFxQjbyA7AqcnsgZ3vJZurra+ko0u0kXNLEhOZSLDKDYiS+r5e444IroZd6bsEHG6tKier5C9eZ/S/5QtnhyndBGqv72G9/Q9zHx2lpqFRHQzJ5KQbC06f5XZiE+9q2vR7B8Inc3n7F48UlerrHZYw+ALYLT4lLGCF1mfnUzSvM7KDDMcjmO6lnyvrQlDG2N58CkT+niEe3IDO6mhTnwpWxzg5iYHlKlrSifPksNMUfAgdECcTTBMc+TrBu7dI+IwoHgoSNDKHOLTK5i7R/zLXyrdM1OeKk6iSMNux5816WFePIULN5y/+oB495CiTu18DtP3CGIJ6tfr1HnB2DTiiLs9ZYYye4/epxjTsNmmA8QYQ/WEsPnN9WUiHcWm4choMhESZk5kpGdmg9ECKUZ4OUzMnIY/CBF2tUyeEHY5T0xsd3UpBwU/M3d5gbDdwz9uUnfLomzPDfHUJEhXNdlRMuON4WjJ/OPPcTn5QzRXNbvzG5PCdbqlQbGPyA8k49JtjGtd/UHUgS+6s8wPMeTygriFAuhLIFclUYvE3Tk94f/LR85GU8MBvq4XKbJ2M8mdNAOq+4jrf9jD/ewb+FOTRlXpPu0PRGMGSX+MQmaT58ZOJiTtHY6IjxsW7ULsxWafCmOc2YknDbsxiCnFLiKeqFixqyU0kU+7XSM+IPF4gnvcYeY9ZciTepSryWsa0dBrIW0vV8ka2sgYCADXoP46I+dZSQ41wiGJMY7hUZp6KbLlcGr43E9qjvOUKFzkLIzOR1PK4J/P6YKq+5llM2Cc5X1bbzHc3kOVCOp6mO7f0CeDMpOLGZYVy+CB5Gm/XsP8pzWufnGB8J0X6FYlwtUC5uGRzqgl5YZ2NuW+IvfP5BnNtlo6EqLIqa4SCXbsKYU0VYXTy+lHPv7p+gwbYk3rS/B8PZL6/qXhnHII0mtpwRsEMVCegaDoVlAriPouceX68fBOowXp3JXjkoh9UpibCJgzFZwqe5S3oIiDyg+zpFk8u1BN3UuhPyLfIfxuUmVvMlbsvRzsQy2bgMwqQo6kxz2/KWkjyOWN50juXwr7DxMDM9B5CXEk8PkaH7mQ9QIT6sEfcsBHIHiTqrLsJFriboRsqPM0CenY/HaEnw1w2wx+7lG+z5AdtTgaIaDd5yWuvr3G8JvXyF48A5yFq6pE9orHE+G9Sc3ksetrUg1kMekiI2yXCwzfjWzdnLJCW5XcfMoC2O7ZSciGQLeuITnfQQ4KI7KyCHBjA1IHYpdzOJH26EhCTUHimdY3AOzMKwYSRWXXWzMKBYyVWXjBg95YGGcSJBoljxzWkVF/fUMCz24nyoCQzDy6ywnybQf37pEyOi1I3r5jhyua/dCIXEo2sIRoqKe35IYntGG1wPu/ukF7wWjM5//ujt26MJTDfv8RMoEYCafrRuUqblRnnIYo0jzdyGLbpvjloI6GNmOXtN0hbHYpylmzHSzA9y6yTiXxmboiD0HRnzxnrPTd3eihru/bOZpJ7URtIkiRzj5tkSd0x85msNMJ/P0jEEPaxG1dk5+x3bObPJ1gpxNaTB87TN9U2L80adNRn/9oDCYfAobaca0JLNlPeADnexYFOs9U5A2NbFrCktagINtzc1Jyb3UvCMB8/F4Tx2ZhqMa1D/Dv6g8RVz9pUPzyDYYPd/CRh6XJMvrjK/KxP5CAJ0RLAPx3Y4CjE1UPSYJ+u4crcsTFBaJzcC2RoehDUr7EtpMQrsAuvGlhcnbEet9j2xHtG3oW6zpeUyvbEIAPd8B0Sia794hAyroIatctxb+rK9qUyPXT1c8mFEN/hn69yhJNXZNzIrB36OSZ3uw4ZiwKPh/qLOlIKo0+wBi6lhrh89jpNBHt/HqNRAQG4GVsZ+uahW3bfrR3qJOfKg+SgkgsfGnT3cmeYhH6MwMmY+DePaL6piOvQDITIAVR6Ho2AuJIaKqKaM/WMNArz5MniF0sUmEe5xP0M4sglvLqUZPviEirn0Uo2IBq0Wl70fWvTArSKtcR7cqMvjjZ+JzruaOomB7QqeMXhEBfSyWzamynz7sW0efcmfO8AF0zqlSAQXIjDIIQaLGQJR/8Tt6kLK5E5tHKR2CKFPIhh+lQIVUliMDkfcTpiUke3dHSnlMvXueJqjxQ6M+lLpwbiDvFJCW0MtsfJuNGoFGgtieqM0wIO6oxiRdSn/VCAuyQGJopACXya9tVBJ43MINFaC3MZED7MsAsWyynJ+ybEpuHGvmHHO2FRXAvcf03FXBsEKc1YmaZ535q4B8e6SQmeQFB5vTJW3syYUUtrnVmOk0VqUq67GqJ/tMr7F5UmH1zRPzV11Bpnp3WrLDnFcKHOyAcST6sROcukFw0jCQ2oJ1tigyWzsDMpnBdP5qgqB1vUXBRHI6jBtj7keQjizg0DYN9rEtOfGqzqhB2lOLGrHeIwY+8AymSwqxCyC2yxz5JsbwQoGDs+LV5DqOkpjxL1qkK1Sv6ougFjMHu965weMFREGDQPZkh/7IajUbOHMhMLp2U8DMAwF6s2DEouWo554EtDoEIMbHxFVUwWQZbTgBjR7bxpKZfwWwKp/Nb87Ek0e8PzCSQTVQ9GSAHWTiIjlk0124xQ+wH+MMB2bOn3DRFBRD7AbYokl2xKfJERrXTKezVZQqtsosZwnbPwJe+owKiyGG3JxS7GcpHx/GYqhOFuBRym6DK7Bi5cVo2ByYyuMtEEnKbS5PIUqFAkvQmt78KGDIka1Rg3DdiNo7rvIwBYJDSRosdMH81YP6j1wzkmU35zMrzauczMtYf1rw3aqlsDbkWXT/meAB8PgGgLOEuM3J6ji09N2TUw+QzjJnzCimLMY4xubjL5XQRbNtRntoPMCGmta56eCNa/bg/pHm2cmzo1eHSiMksF8ys0IyLQUhwMQgnYOD7kvS92HWImx2w2RFBmk15qMu6Du0RsQdcVY6H8m437gniNAnhAsSeBY2R8Zmbz1mk+MC1osVyPxCONwbJtVKMfVIksBYxWS7wvKBWKqNMXvK68ViOLAS90CIZANC21P9bw+uwlmOwh7Xkp7DxgKFii14pDA7qr6boZiadB+ngriWNtuUzrL/0EAfGJlLHzP2MeH35OJLVNTDIDiNxT8fLtkPiFGhOQDgj7am6Rkdj0QD2jH+gRj8qyYWcqUqePU/mVX5fmCDZ62chQ/LPB6QyGUQ7H8YZfjeXbzgieeUrL8A1XLS9zNLV/QjyunojVK+bCEOyiDWowBdAcOz41eu7XEc0VyZ17v1UjA3k9Z1Ah0MxzlTUUIS+xyZ1EooyAPyebsmKblgETOsOzakAjhY+FnADgFcFPlxOUD4/4n/zJ/+Aw1Dip49P8frlNfrZNa5/fEL2eIJ5d885ryzWeDhSegUQPrcGmvyFGBJhTcNrdGOJ7QC7mGP9P/kEfW1w+eMt8E+/BIJP3Qd1460k93WIA/O5U6jM2eYURVoEYNTpijsetNoGoFwFPeStwOr6mhHgQT+h3E9d+2Cd+N37tMABcHQgpkZpUXc9oWnpsO18Dnu/RV7mtOMV61TNRLfLBcL+kBICjWy8H1mgCpQedc4/mSAcDsiePqEjpCxWGm9E2oUqxOsVzgDs979A88kC/dTJGgioPpxgv3pDWdHlBd+3BPuYLGMh5lzqeNRUJaEykihnsgx+TWmou1imUBO1ImYB45PhD/kMHYbXb0Yo0xh+HWTkI518Grl0fSoQTF6k2XLsB5iJERdGWaw6t+0HOIFdzXwG/+EWSvTCwxquu4brI7rcpC6CDYHhISYM56Hi2GzynlrokHHTbK6B6o7rVw1SsgOLBrKpOVJQZFD3Eo1HdS1EiogUm5qdxq5r9asT8tcPGL75Fr4o4J4/Rdzskq6b9rONdJh2LO7mMx7+EqwVux7h4REwloV7z47CqHT1cEKcT0fyHTjDVwJnehYromwanx27IsntbCEFghzICa6W2XocBsTtmNlhQkjmN1Zg8fTcb7a8du8Rhx42hCRhNKJcCF0/Jkp2Hfcf7xHbAeNTD4HsuYaRF+zaNZWz70ZrbVEk0J6YTHrN4jjfx+LZnxFCGquksYA1omDqkiSVmSdFQjURI6IkhcZm7P7VvyDuD/ReaFrms8zn8vqGwVhtx4Ko4FguHI5JDpmkjOrUeDzClRdonpTpQNexsBGCarvi+VE+cJysijl+TvxPVQGqDEgj84jEX8m3SA22qlt0hK0oWzQssEmWRzJ+ch3PvfzAtdDNx3F7KEaeXpLiCqlez1tFBrqFoOV7pEjjTGF5rSSsdMYKdah5jgljJaMEvH4WUWyod+znENmeEAnL8Xtsxx/u6wh3GoMWouWbKXaAa0n0cx13G51RtJeUTbiWhiEaHcpRAs2C1PwgyKakFVQ2nM0gpesvtvRWNv34YSMCi7rBYVchHwBzNCgfWNllewf3yzn+Xz/+C5w+7fFf/dmP8PyTf8D/KftfYnJbYvluw5jJ6ZTBP+J8pRCkvVwJ81QOQpnVkYXL2TraNi0MAFj+QwWz3TNz/ox1D2tgTDZK3QAuUMmM11+xbQl/QTpmlZ1pxS32sbCGMqfjUcg+kRuNdvV5lqJSyRMQkamQ/hA8QiOufQ7pPavvfGgako7KAmG75eF/hkLACPlr8ImNb+dzsQMW1nGRw8RsJO1ZsUX2niY+EoaU7IeNQWw7zL/tQEsu4OJne5i//zmCmr1opoKODO7XCJ8vsX/ucHoW4U4O5TrD8/s54v0DgnRY57/8egO3WsJdXRLqzzLY2ZRjBt2sJ3Uad2iwSdhu+XWaMJig3CLJsNI9TlkOJvkaeJFy6cETxT46CAoRhz5JnkyRs6uUUUDY7ZgRUJYIIaYYVADInj3l60hyZPnQoV1WDD+RYlwVNcabZAWurmhWODZWxn26Z4SMcGh9F+nLMSOvJ2sjspOF7Vkg9BMifOoAWD1Q3pu14rFeGcze9qi+foTZHVLRmtwrxTmTO6ZjZzhI4mMczbHMbMpC4XjkZ7aY85AIJKiFF1d8iXeP6bXMqYVZLcmTsYbIkJhNBTEAMnUtSFyF8OqIcDhSAtp38JstiwZjAGGtx7ZNIyAA49qS9WtXSwQtMKoS1lqE0ykhjO7miooeUXok46GC3B2T56nRSOMOsHjRdL+w43NrZlMWiX3Pg9NZREFo7GyWRlwpVlgLCikwks12z/WZipW8gOYA2LpmYdwPiDqClPVnJxw9xWyAOTWwtRkNegQZiDpmyFjYpfwLLXxCRHxYs6AoC6AqOfKQzzApq5xjiuMD11H3w++gXVg2jh3PIF/xuT49H1A/OeLTizXujhPs/uEKs1f4KCHXV0TB9Qwid40/Njsg5WT0i3Gk3s/4+2ILaECPkg99RZ6LEmnTzF9QhiDns75GCv8ZxMo7I7neOsDIGEHH/MVuLLCHWjgAStBT4kEi5USBD6wc7sp6bMZOu/7ARdsteYEaj5hm/RUQ+lHbmO9kVrIf4TxaF1LmUz5GsULkppCfgnALqPEPWYSFQXPDQqJoTQrvScmFA4ACyVUpBToIwUKrs2hZCWWniObK4tgWmM4btFkJ15gE2RyfRUxfGUzeRIQ8w3/z93+K//2//u/wb/78P+D/8uqvsPoPLYL3QNNwjiuL0MmhZPIcauhCmDDCXawAY+AfHrmo6joRYcLxCPzi1zSbqevU3WoqXjwLxjEiJVJColssUicfVYGQZTi3ArWrJTtG8SewkwlcTgKQohFuNuXm1ujsxo8Fh8KN6oYG8LWs4QKVg1tn9rFtMbx+wypeN0GZA8a+h3s8ACINit5zE8kzmJqz1rDdj+lgch+U3WwcN0sNHtEAnNi2KP/mlyj+fQfkOTdJY+AkCpablWw+0yn8+w+o/t8PKP/s9/D+L2ZoV8D6dyKAF3j6H6cI//hTFjc555C68fj1JnUgZjblWKCq0s/0949wT67pOHg8AtbA3VwjTiq4EKlJl2LR7w8kbMl9TZkM0jEaY5MqIB0UPgDPr2F6j6wsEPd72gMfjkkO5e8fuIlPavoPyLNhL1ej2dHzS7j3a4SHR/7MwxH5N7dYtRdoLhZoLwFfRSy+ZDHSXEeU92NoCv09KKFqrkVNY4jcFduI6jFg8raFn2RY/rKBPXaADzBbFsNxPiVEvZghTivYzUHikCPMtGZqn/eIX33Lg/iZpO+9IilPZXCoKziRtfnbW3IdynIc+9Q1N/93H3jIzqbyDNC7w9+s4GcFsvsTfT0klCkeT7BXl+T8CGGWhX7k5w+OgbLlnAeoRHsnVMtYdv8y37aXF+SJrDdcT4q86Oc6DFQWCHoWmsB48MuL8Ys02wNsJkxZ8kAXtMHfPxKJOzfAiuI6WFdsPiI9QfzDmntJWSJxYWS/0DQ/WJOKLfPZC1hjEL99S5TRfnygp1/WSBefIzQti/X5HHY+S8oJHcWlXBRraHNnLFI8snMsEA7HxMsJYmiEGAAxWgOkKO57vv55wT+ZwEkeQ3j7gSOC3/0u1r9V4vREJHVZRPu8B1yUvSagfTXDr5ocVxd79J92GO5LnoEFO3+dySfpn6LUx7HLVjUdMJJkNW9GuS/GnY3Mj0h+HO4EhBnGxrsUyL/HR/HA0YwqGzuIu6CMNOitI2M08RbQkUamYxbV4yubUSv8rBnduHSmoBB8c0VTH4UqtPJJsaJnyIKJ4/cbYT52M0IjxZZMf1+ZFMlrh4h2wYPYtSwMykeDbiEFhmWllG/HsYJ6I5sgesga6KRoUSikW5rkt2w80kyyKnosywZfxiWGKgLBoFtE5onXQMwMZt9E1O8K/J+v/xz/q8/+GZ/85bd4+MWnuPh/sArHxRJuPkuyq7jfjxu2dNemKLi5GCOZ2iT1uckVE7ikKk+6XCAdOkYqeSsmI+F4lORBD7UMNvM5bOa4CMK4mI14cOPUMC3ugptJIuFIAWEmNTudLIMtzshNojlXKBBnCV4p8UuVEaINTpnoQCocQoiwlWwY+wNDe5wbTUGiIAODH9/bOWoQQ7qPxhXcWKSzgw9kK4vMEgC5A8qmVtmftWNYkbosDgPM3/4Mk8//lejgDY7PDD786yWe3T7H8PrNqJCYTWGUfChjElMUiWXtphNxXOso39MZc5ah//Qa7kDJU9hsxwP5LNHQlCXn18OA0LY0l1ks4JYLhMOJ5MDbW44KVhX6eYbpl4DxHpmwtONyBvOwYW7EfE7duHS7djalrCzLWIy8uqXDG0BP9MdHhFevYZ6uWIxnZBn7YnTLBEZoXrsRDdbS8dzkfcTVX38A7h8Rmxa5dLvRB9jZlPG6eQHnHA+h3R7m5TPE/XFEntYbmN2ecPx8jnB9Abs9EmIWD3tIR0uXOZvGO+qRkEZLZYFoLe9H0/BAqWiME8sCaDq4BxaIQ9PClSUjew1VLeFwhCmp90exktEL0StYB381h3s8ECKXtckDMYw2zzGO/xkL5OYjX3v9FYRDxFS8nPtBWUKTK2PX89lXkqOOyNSeu2kQK8Zpxxjp66+jIQkw4wEaOQKwNqmMmHEgDpPCmbCTCRsd52iCJMombXgIr1MtkHT5QUin0ynQMg/A5jkbiPmM93c5R6xL4PaBSJqgfyYnMsE9qiMh8NAiPD5yn3IOcB6wYoalUcWrOUzTwZwakqHLkgjsMPD5WW8Qmxbu2RPsP5nh/k895i92+Hy5wRezB/zN+8/w8MtLqOdNKAJwynAX5jJ8x5hvIxK+fgF0ZUSxNolDp50/R15IWRbq4mcHxgkDJLEOtYFtASzEjC6M56mS+QwnEOTkdCORUBF5XwH1LZB9iDg+I6dBZbLDdGzMNXQoGsBq8E9+4A9S9j43Tx6+tge6VUwsf/Xqnrw1o3XwmTY/RX4KURCG3sj6q12NMCHnFia90ZHtaBAKQ0imNCRbCCO/XI/afpVgpMxlYV12S77h8lHIgL3okkXiqEqH6IBiY7DeT/Dbiw+4+uEHDFcD8gNtHCEchmiA9orZAN1fX+L//vUf4N988h9w+ycGeHZDqVjTsYPVRXxq4N99AHzA8OFujKjsh5TSpzNif/8w/rvO7uTQsJNJ8tUGkDS1xjkePs7BzmbkCAgRD8PAzlTnb0IQi12XYEkoBHo8JnhMLXghlp0pQKMqxzxvsR+1VZXYypDZqXZVAIuOlE+fZ0nqA2Okqzg7iCc1u6Qgm2Ngt6oQqbLj7dXlaIoSQpIq+vsH6UZIIDzX5ZssT4WEnU55WMh1oK5GzkPfYfV3H2D8qEs/3Rhs//WnfJ8xcnMMkfkL4NzXLRb0SjgeWZjt6Jng5vOkuIB1iKs57BBgjpxtht2O5MAnNzBlCb9luE/ihWTZyK7ebunOOK1T8eUWC5Q/e43pz+5gNnumPJZkgPuf/ZrFR1VBWepxQSQA1rITPp6A9Q7Du/fkJUhhpfcDhl19seOY7fQ0wrbCC5J5Yz9nHPJQ8+/JreHXX/2n9wjfvCJaJS6Gfr0hCUsUHsZZOs99+oIy2Xe35EHU7EZ1bZiyAJYzxNwh7g50MRTPBjOnD0bcHwj7WgN3fTUaP+mvqoQRWSaM4YiqrhEnZLgjRHrF397zgIkB/v0txys6twdY9DUtyZ1VCffiKbKXz+Fe38G/fpsgfiPBTXrgxyOVPBgG8knaNhEPRwmtS+M1WJNS7YjMHMaQMJX4CcSeDvWhh6kruNUyOVvGfuC6skQigny9sSZJDkPTpkJZVQ7heEyuo5ARl97ncGrIqVkt+XrDgJHqb+kVIoZcsOy8NSrd3z/wfTy/QVjNYNY7FkHOSl6AFCtSuKg5EEJg45KzWIoxIkUny74TX73jSFa8BszLZ3JPlbxZwH36Ag//s0/w7X/l8W/+y/8B/4cf/Pd4t5vj//mjP8L9VxdwJwPbG+Q7AzMY5LMOT663iIPl+OoUU6PsK3bX2ZEowvmBrwe4ygd9CfSLmHIqzMBza6hNGh1kp7FxLjaM7I7ZWGxrfg4wjh70LNTxd3M1ptpqM695PSHn9Sazo0z5XP1obegLJBmgOoHlG5NsBFMmuEjwADmI/Sh5qG9jYu5SD8yAETNA3PWEqBDZ7asxAdUHEe7EmSHkwqMhXyDFfOrfW16nsiB9oVKiCD+RogVAKPk15eP4IVFOwaqt/2aK/+7b7+P7q1uUywbtitfULQOGSRwJIBk3usOmRmV6hJsO/VOR7NzeialKj6TrzzOg7+GuLgnh9X2aN0I8yFOoSz/ArZasyGMEnB0T/IwFohx40v1rJr2d1ukA03mzyg7tcgF3uYIp8tQtjJrbg8jDZA53seTrdD03bVEu+PsHvp52y4HdS+h62SRO7DJioI5Z7YZjIPFnf2AIzRk8mBa1o5Wyv7tPRY0pchYtohqwZQmTMxEvSd9E2mRXy1RwhJYWzPZyNY4zFouRXDWb0g9exi3Zi+eIm+1HeeTx3S2mryMfrwAMs4j19xzid15CJYQ6Y4cVdrZCqgDc9SWUuR/aliOgIoe7IWxtv3qD+OotMKlJYNwfMLx6naDKRNpsO1r7auEzmcC//wC/3Y9qi+kEmNTA3SOGV68Z6bzZcnPWWfWRcHZsGsRXb+E/3FIidsfxEy75mYfdjmOm2zsqIADEH/0TqnXgDHNONMyKHDDfxjReoyX3SGDKjsDFLxrEb9/wc5rUHEXo5/juPTf2uoa9uUb22Us6Eyr0XOQ8kL1PEDuMhdkf4d7dQxnvRrwf1B9f7Wpj1wFProCrFRAj3HwO94PvIR5OGL55xfU4n8NdXMC/vAZ8gH/1Fnj7YbwXErFtV0uObdqWqNSzG5iygL+9J0dnf0DMMwwvL5OMU3k0CAF2MeMzqITYYYB/XEshPiDc3Y9jMTm0rK4NgKz9tkXYix9FNto/B/HCiD6M8/wsh7+7h99szzg/4rZ3IivfzefJkx/AeHhHFvBadHPU1VN18uIaePmMyJS1cE+u2XFLM6NrmSOtkD5Ld3ExFjci7UNkUFqoc5hDk4i+0Qc2FVcXtO5+3MBv91Q9HI583q1JscR2NiWac2Z3zKaBMthwPCLKZ4qrC+EuBOz+8Ane/WXA/+6P/wb/w9138X/8b//XOP7DJaq3Gap3LhldDZOIWERYF3Dqcu7/uUk6+nOLXUW+lNumpPNokbJnoouwnSHxfQLEXA99rqVuLqP0vbxeoYVDFMtrJB2/8m762YjUZ8Jp6xdxzA1QAYYYb50HBGUnwGoYj0oRkqPfji+mzMFMqhrlDPgqpvmHzho0/AMAjk/G+N9+OnYIGqOoXQQ7c0L9MSPD93ymr5GIwEiiUD2lEXLSMEVyQAo5OQu2N5i8GdUDwXGMkB8jsgMzApI5UAbMv7Zof7ZEFzL8ztMP6F72dDuTD/n0xCSf5cMnEf/T3/41/v74OcxDDjMELiqpQv39A2F+1bzPp+MDClC+JlKb6H1a2Lau4Lf7BGH6u3uozMiJi6DfUc6jFbV23hpwY0txwBKznbDd8xDQjltZ9jU7w9h3dDT79AUlU+9vE7FIXxPKQteZoxQTiVsgsjbdBIwYc+gvhTbdzTX/LIZCOmrQOV8QyD92PeJuB79eCxehIeNZQlzMpOZmEAOGN28Jl2biS344Uu8NpCz07PkzwFj6n/c9si8+A6yhU5wmB+ZF2qguft6gujWpwPQlcPxsPkYu9z3CdkeS1zBQ/nl3Lxa8ZNgnwxf1K/Ae5stXgOccNrx5RzthyUgPqkyIYqcsSI1xjgRTub/ucsX/X1+N7mrWEBZVi2NhsZuqAuoqIRNwToqTE0c9pwa4fxztmosCZjaFf/c+3Y/F378bO4wIynJ7kEgbANuSLNutpFgPZEvnP3tFyPf6Cv5hzc+tKNIYRWVj/nqJWBbMVRApa2y7lF1hqio5WIbtTt4zD1Z4Qsxxf+BhIB2nLUvgwz3i+zt+75Mr4eA0kqoYWCQt5zC9hzk2sva2CI+PqSCnPl4O467nv+2P4vnBZ98s5zj+4Bof/nSG/V9+LyFFJMg2Y9SusPP9ZpsOceM4jlBnRntxITJfy+KwH5Lhj2r9Yc2YguecdPhdesZ0fzGOKIIxJhXeVkOIuo73TTwPdPYPQCyAh8RjMFkOXF+iu5pgWAnRUYoASKOjwUWUqVrYiwu+dp7DrBbpZ+p7c6slsJqTDFjkKVEzJQUK+uIWMyavqhqhaYl0WAszmSB88Zwe/vL6VDiJ7XaRk+C833O/bDvEzRZmOcfdH2X48z/6NbZDjV/94jnmX1nkO6K9at7jTobZE3nA51ePyJyH3WbIjmwEs1PkmWdGUp2JEC8Anqlqoqcj6uxAQrvK9GwrCID4ZjgZKagzra+pwHENye/ZMY7afxld68/3itoPgO1GHw5NE2Q2ANBeIhl3DTWQ2bO5vBoeaDwhXfH4Akr4iZbddHYw6XC24vg3VAJPqMzP8sKiA4x8Tb6XKmQm2v3NeJhnR4Z6TN4RPegWZkwGy4Bg9MZEuMaI6Qhvgn5wahNqhtGpMGQCY3Z8TR1tuJbmQrC89vnXwN/hB/j8L17h+skWd80K2daBzoERWUMClPnsgJf1Gv/NL36Ixa8sDS/qigxqYwi/aQdzfQU0EhFaFqyxRK8cj43MoEVXL9CfqSt207K5czZGaRNhZc6zY4iEM5uG7HmZ0cWmRZDFlDy6tYq2ZuwyfZC5/wRoKT2zZYnYgxtUVSKsm3SQG5lTh92OkPx0mmaMYb8fkQUN4AlRunJuDv79bepotCv0m23SbiOG8XqPp7QpucWCIwlBQbCcI3z17bhhRA97seT73u9ZjOUyl7QG4dCPaW5tN0r21AcgyyRBkVGo+c9e4Sk+we0P61RxdzMLAZP4WXVEdeh/Tvg0cSAUceh7ALVYRrv0uZEU1cCWN1S/nRqSgKY1wj6M4x0pnoyzcC+fE/YG4J4+YRfYSfHXkI9g64rIjUir4nYHc7niRigdotojx7Xc9xjHZ88Ydk/eA3FA9uknCB/ucP3jJ3j7X2YYqnF+qdbdw4RJaMGxaRimgI8G8ekVcHsrLnZ+nHGLPFIJsm695+c8nxG6nUzEunYDhAAzm8D2Hfz7DyKFHVUvRnTlRkiWyiYPpxPC3T1gHbKnN8D+mBQ1/OwZxYzBw7y7JyyvIyoprP2GqhUjOntNVIz7AyWqoiLY/NlzbD93aK4iTk8dqtvfgvv7X/C5OJEYHLb7ER5XIyvLa8cwMDyqaYCe3byqO9xywcN/GGAKSnpNdeakZy3ivk+IW0LhPFK6n5lMkucIxMPfiEmP8pA4cxcegRBF+QCzYzf7I6pf9ojzCRG4U8PCdjrhHrHdA8GPCZZtyz0FYLqncBzMdIr4+RL9qsJQZyjvG7qgWgvM5x/JWREjP4PIVEWUJZ/13Y4/d1ozo6MfAC0eAQYvHY9sNnIPG2PyvYhdj82fP0f8ox2elHv8h7dfIF9LoxLHc8xEOVTrgHzawdmAwTtUt1Z8MPj1wHjuAEj+AX1OhRwMMH0FDAPXSHYY1w6ARPrT/ADK4JF8MhRVzzb4aFR+HqqlM/6UraEEd1XxyZ+7hUmjB4h8EQbIkvmAmPTowT1UgJVqX6H87HgWhSjds6+BkEcGHegNDEguRvmeFzFU43w/OrmIQYqGHXC6YdWVHceZRX4gOaJbSCGiZNmTwTClLqnYCAljGVFsDexhHBGcwx+IRDOyRpiV8n6zExA7QQKcwfQV8GX1EsvvPmLxYoedXwBHK2hERHfhcTlt8H/96Q9R/tMEro04vqgxf5gD9w9cnAJ1oq4Qixx+WcM95IjrLcx0An//gCyjxE7jbf3jRnIAZPZdFEA/SMeQS0gJXfvi8QhT13CXK5JaQuRmqSE4Z1JDogRDisyNMaYRAgmK1UdKgwTTizNXItApuU87WpDjoN+nIwG0LS1pP3sOd7sGbtsk0zHOQoNC4nqTOhqEkDph9RhHCCl2V1PI/O0d35NYuca+S5uOFyWBnck8uO/o5ifzSMjhE08nDK/fIHtOOHN4934k6U1qwpqbLfJfvMbF9HO4LsPxOVBu/UfGQamgeFiLdMqNwUpqdxwECnUW6IUY1ZmEvIS7B3aaOTv3cDjxMFNZmnTl4XAEdnsegG0He3WBuN7A73bc4ISQCEFelDwZ2xZOPictCuAcnHZoghbwPWWwT64RH9dwqxWDZURGVr89IDusUhMw1COLWNdWvpeEzwC4JjIxD+BhDYy5E9LNm7oGMgcMHrEkCY1ZCwYQSaS9uECY1rDGkDBmLX0wxDgriHlSHOhTH45HjrlEPeOkKNS0Rp3jB+8p4yxLZjpI4p6OG7SY0ucxnhokFcgwILRUpbinT9DX3GSyE6Hh3WcVLn5eM7b58oKfl6RRQgKa9PDn50H5XTINKksEsai13tMhMHDN2PmMhXAr8b11zSKuKhEPQpiUEZ/fH/gMnZoxO8J72AXfoxmGpIShp4YHAkm68GEcK/oAf/9IHsJx9PS3yq8wFm4xS2M+veembRFX1+zIb+9hF3MMn15j/dtTHJ8ZBAdUDxkmtxNUH1rk7zZwiigKSpk9e4qwP8Bv9zB5Azuf0chK3P/sjqimmc/43JwY0mRnMxbdwmtiUzCD+fwl1t93+J9//itshxLN31whH9gVdwsWaMXGwp0MumWAWXX4/OYRD6cJ9l8tUYqyzLUYGfidWNwLxK4BPhqiN0xGSbs6Z7pGzh3HBjkbAEijGjPAbT8eMQy1HPQyWjAD15kGAAFnzXk2/t6IEq/YItkJs4GWQqMBsuAA5OOha88q/OAwRm52kjIkLkLZEZh8iDhdGwwTkqa02lCNfSjUrIBxoRjOJBJyAGvYhxoquGYcCUzeBWRH6TAKvmmNRxwmwDAVx7GOkP+/tBg1whPoF0IefCTfIFqDbmkkPSmiWxLNqNYBto8wwaJ5uELz3RbF0yP611MeMs9a1JMOm90E+S8mqO7pie4PZBmnebRU+Dg1MIOHrXLEWQ3bD4jbvTgE7mAvViQ+tS1sVSbm+keWtEJms0U1QvCrJTd6hbpnU8r+Dkfp0iXcRPy0g7iUwUgEZ5SFBqTORo06GKpDxr3a2yokrWzj2LQw1qYuP55OIgV0yD7/FM1v3SDkBvWxhd2O7wt5OWbTT6c8mOC4sVUlu4uOlXqMMfEH7HSSDpDoPcxZrLCZ1LwPYqYD7+GTUZGFuVgSaowRphVWeNMgruYszIScpd0kvBirPKxR/21EdvgEQIXdywzTTz/B8O0r3tt6BZPnGDQ4SQh7MUZu1hIN7d++QwzCtBYXuERG7HqYWUH/CPl7E3IgeI4tnMPw6rVArEa6/XE+nTq0OYmcGh1tp7Uc+gX5Apb8kugcDEgoNGUpmnhhFIWIuD8C15fA7sARw4Y/yxwaTN5F7D81tEltuRkdnxtkB8CBazMU3Fzyt2cFgHg32OmEyIPMenE6Uav+uIa9uWZ3KtJYO5nA/tbnaD5bwfoIE2pEewkTIuAjjI9wuxbu/T03ee/hReoXANj5DNnypVi9bhMrHwBwsWQf4b0YVYkHvxbv8m9qiKMMeSXSmimTAk1ZAEWOy79/xOmzOdqVg+0jZt+eGF29OxCF0FHYQebc6gAqkL0WLynlUjgfStgFkP7vFQpXtYAw9vms1RxXKGq2XPB+S9BUHAYWII/KP7IfOQKaLEvcEVPkQMlCOKVSxgC7mMPd1Aib7chpUL+Okrr7sN3DXV0QwXt/x1wBUfhkX7/HhX8C20/TOLZZWuyfTeB+UCM/PoXrIrJTQLHpkd3uYA4MZkquoF3PYup44rqdigKp7RCbBtnTJ4izCbAmyRmdZCYYg/5iguMXPT6tHvHfvvm9ZKkbLRHlUER0FwHRRsSZxx989hbtkOHDV1dYfGXT+LmfEYWu35tkd61Ev2CBmPH1XMMDeKgjXEdCrTmNDbRa5WswkPoGNJyUYvI+YqgM/IxncycHvu2Rxm1BEPJhwiJCETp10sx3EIdCpMRdHd37Csh8zQ5YZXEaQNDPI/KtmPxMRxeiUI4HsC/M2EVLRRGEha+ae+OB8t6k71MLUUCqp5pfq6oAne9nR6C9sDBBRgBq5iMfgokAgknzlJTQpK93OpvLSMdPD+dxtmsDGZg6uuhrA39h4dpI56ZflRgmBYzAQdjlOO0zTL7NUN9FIADDAjg8s5g+XSB/f5cYqqYskv86PtzCPblBuJiRhRx4AMbFlDBkCPDH+3FRO4cYQ9KCG0ngYsRnQNjt4S4vYC5WCHf3yXUQMcJIuhV8oD+2Hv6AIAl03TPGjpGh4FwfznGBxQAzm8PNpuxMug52PhMdc5+ka0bIiWmTryvEwwnl6w2GyynMscEgcaaaSmayjN2D97CgPhfGID6s4Xc7zvyETOW7jlajhyNHDDln1HG7g9/TCY+zyiC2xGT/O4FdQ9PC3D2woxPWftRQn29ewyr0K0Q1Bv806b7421tkxyNW+e9g890C/ukKTu/1idwBO50mxCbGmNAUZR6bsuT8uG3He1sUnFMXY2esFr8IMbmVJU11DIjtMG60HUcaKQMhRbnytRW+BpAkmmG3k2fhmA6VuNkyaOieiEQ8HmGLHIOw4DWoBb/6Ctd1geOzy4QCdPPReMS2SIxoyJqKJzLttbs2ZQELKSQlgQ4+kHuyp0cCBEUx11cYLqdwfUB+dwS+fYtEmL26gL9ZAs7g+BdfoJs71B968SvJ4AuDYu9RvTnCfvsuFSF2teSaePthVJaIZXA8noDvfYFhXiL75SsWvkLiRYxUGxR5Cp6KjxtmegwDwte/QfnPFrUUCtF7xNmUn79YBCcFjo6GFC2q6+R1ob/sZMLPSZ6Tc6KeATh+2GyTCRIAIh+imEnJkGJZreta9fbnMdPu6pKKAknGA5BQBf+4HsO7BAFMxZkkESpaqMWMPr/+cZ2KVgtIwUGei/3yNS5fje9rPhEkrcrRPpmin2eAAdrLAu3lFcx3L5HvB+TvNrCNEpwbxN6TIOsceQmzCcyk4n7a9mJ0JhkG3iP2PXyVATbiTbvC29sl3Iw2v4g857qSe3qcBPzrH3yJzycP+K//7s9QvXcpnVJ1+tnJwA7xo4hf9Zap7kwKnuN4moe/7cR99sRCOfnvAGMCoaLWnrbC2oBnRyAMZwmbHRBz5RFEWEnfDW5M4gTY/AJnTbcUD2oulKlsT7259U2YIKS3Hsk2V7t7TfkaZiKpExgkQRUgSdD40UNZZx3Z4QwyOSMPqjnPeTiR8ZGzkZqzj6ECiRrtKLtQ0qLqK7Mjb2S3FOSiPXvtDIjDOC9R4wbX8TVZGdENCnIf8p2ReEfHe9Hzun1peOMH3fwcshiBwxFqQ2q0ewA4O8wzxIsF3M0FYmbJCt8cqQfXXzFSyqOQODDGb1qbLGGDHIDImStg6hrGGPj9gW50Z45yGmNrBKpW10FNCwwN8+f1QA3HI6VsSjQSkyCjMaaAQNwR4cTOxgpj39/dwe52yN4WCMLiVu6BKUTSJhHGZjYFTg2GO0EhjKG+Oc3m8wRlQ6yPMQycAYq8iQRCm2bspioZ2wp2QSn97/IC/mYFlzkMX/8GqnyIXS8dT0Fk4F+YmYTDAeWPfoknP6kQHtbAtB7Z1TprF2Ti3M0tbLeww8AZbCWxwQbJz8DvdinLXF/r/Jd/+44wuWHIkp3POU9XB0TNQZfZehwGhqjIa8XWp0jmsNuJJLMb58XDQBXHu/dkw69JrorDALeYJafC1GXuTpi+idh/YjDMuOYV1tRYVJ2B2h7jHNkacl8kztg8vSYS03Z8nhc1bIwI375JVsaxaWCbAd2qRA6Mqocsg3/dIn7zLaKxmN4/Q/XsAs2TGvuXGdoVN2N/b2CGGtniMxTfPsJ/+yZxAtzVJRA8ybFa6D0+wrYtsroCLlfI8jwZzsTBw3z6gvHXmy38h81o2iUJf+qICWCMqu7J3YjWfBQ9badTSdY7SZCWQeIHiHJAnS6TWZHo7fnZ5olkm55DzRIpcnIPmvGgD42nSVlZpjTL9JyK9DEcjkjKiiInCTPIehQkwmQk/qZiY1Kzx2speQynE1UedU00SfaXcGpSwafJqIncWdHbJG53MMagvl2jdo58CNHtDy8vsf3OBP63nsL6iMm7HtVv1sDjFu76CnFSYbiYYpgXyLcd7FbI0PkN4u5AxY6zMFWF7Nhj/tMZ/t3qe/jjz1/hF9Mn6H+6gO2MNLAG3YsOv/3ZewDAf/0Pf4rFfy7S3H/yLqJbmORzc5qapCjTc06Jf64RAz3PQjklVw488/T88XMWIck598hzZ5jyEK8eWGyHnOsLs5F3UGz4s05PSMjNDwAKdvsayqc8vW4hRYZBcvYsdkCW6Z4lVQEKAM2Zc1AprEE9WBcj7K6MxlCOr+FFbmeCST7IAJIZ0CBQhJL31BZYO3SVI8ZMOvoJO3YjSjjVHGt3r1kFMRtvvhFCRzTMJ1CJBIkeEaEgcqDOhpQ1RtFMmiRd1J9hOD6GqhOCFSnj3KRQh+PTHPV0guHd+2TgYxdzLqLTiWQ3ieA1n7/E/rtLRAtM3mTINvvRPlahbam6jcBspio5b1NtrW4Yegh0Hd3xrAEcD5lkATyMBxb/LBuPFXMfmY8aYzgLFhOPxAmIATB5GgloLn2UDd6WI8yvtqhRUsxg7AijqiGLcyxgVBp4nkkg3wNxLVcyXLIe3mzTSCKlEuZZCi4K+wNiiEwFOzOBQYwYliXchpu2Wy1gygLDhzs4mauS82CBOI5fYtfxABLYPBVDWUYm8oYRxm61hLu4SLBr7AfK8KRbs1NKEFGViOst/OPj+JnlBexnLzE8WSD7sEX85ZfJylc3ZY1rNmczfvf0Cfzd/UdGTGnOLvfTlCVwPPJZkjApmuYUKf7Yr9f8ORPZvH0YLZlDhN9u4b99jax5jmHG9VAcyUzulhG2p4tnP9dRmqeCRT+3GIQENkG0VsJmZJ5//wDftnzm8iKR/OztGvaqZpGsxjr63mKEcQbDq9ewj2uU9rfQzafwpUF2iFh+eUL+zS1i02CQ60ivoWOt+sxfAUiyPHNqKK2c1kBVwBwb8hTqEvGWCI5bLD4y5knFEoB4amCf3iAeT/AfbslZWSxYAAYp4k9jFw6AML38UkKmm03HwqdgcQrn6GUwUD4IY2AXSz7zxyNsqDhO6YdU9GtBm9AELcyANC831sBkNMzRON5k/iP21CbP6JlR5DRtEtQpyGeZiK0qyTNmTDvVUYNz5Cr0HWwvRMieRT+8B7J+/Cx8QFxvkPU9Lh5miHWBYVWhuSzQ/eE1XHuF+v0J9nEP2/R0+esEFQkB0dlkvhQPB/jte7hpDRNmwD8u8A/fLfH5yzt887KCechhe4OLP7jD71+9wy/XN/jlP7/E4tcudek8d1go6EFtOx7y3ZKHsrr9hQyAwO++lIycgn9WGXt2lKbajHI/9apRv35EkQZGaV5FZdBeRExfE4Ho5iZJBLsLjjNMIDfONTEpAmAifM0iB4PYAmdAlqI+CyRpgc7jAb559Q1mBy8aVCUIVkgs/OwolU4G8e9H8uJ3/dkDr/rJMNoEF1uBEHvA+gjvDKJholiUtDE1KdLABfUfV2KEBg7lB4lxJNmYm1RH1UBUz3w7vr/sFGUmYxIREmCBkO9GvoJ++Gm2I6MDE8hbiJdL2PWGh6m4cfntnt1ucuo6AD/7NRaHF+i+uIYdaN5jZPNTNq+6fKmznjqD2csVyS4y/ze5GHQIE9wYOeSNhck4I1aZEQCxAq3HzrHrEIfIWWqWkZWipL/kuEc4WHO3lZnOqFDKjJRApfPM1J2KtahbzNiZaHcvkLlK1hJkWFfw601CJ7SIMdYgYmTS81CXeOV8BuNs2ojN2XWmQ6jIUf7qPcLdvUC7LA7UBhYA2fazKQ/u/SHdq6jMaLnGJLcTF0Pd5ICQvNJj05KgeYac+LsH2OV8lIYNTAMMf/Q9vP+jKVwL3Ly6Z6ecZWN8cQcgeJhiQp+DIFLC7S75R1gxwzFiLRyV6Hk6kfR3OvF7DuB7AIictJ5zU50Rb/fMr5jUCG/fQ8l5dj5Hdd/DnUqEIiZ1RLEloWuYmDHNbxgPtPQMzWf8eY9b3sfCwk5r+O1+dKjznmOnU4O426P8x6/5OUjGg53NUoyue/oEcVrj8IMrbD/NYH3E8qse0396h/D+FrEqRfrq0trTAg6AhFiF9OwxcIrhPEY8B6ISLB97drxZhiijM1tLONf2MCZLWhZh/s07uCc3cCrxGwYZAyDJ1KLmS1ib+BEcMyx5CMshGk/NiNq0LcKHO8LaumYM1RBRCKOaKGjncyJNW3JzABkL+JCKaYgSQDMyTIwymmL6JgvdfCQA7/Z0LV0u+FmKo2MQLgU3GDryoUEin9rFLNlnf5SpMQzAZEJF0O097FS4FTHCrSbwd/cY3n8A3n+Au7xA/i5DMZ2g/ewSw8QBQ4A5nIDHDUnVxowFv47QgifXarfHcD3DUAmy+/clvr17TuHDwiN2FvePM/z3v/p91O8spjIKt90Im1tyMzlPbxh0FZ050/nztbs5v16jsvV8cy3J7imUzgDW0xdAEexkGDShnDBOiU7rzB7giIHNtUl+PQCQ7QGAf9eugMobqt0aA9eZ5MqrjX3MNAtAfjD1/iQe6OxBmYsp9ONshqDzfIXY1T7YROnwBQ5UJYAvx4vVN6qOgSETaCQjtyAKCzJkBvk+wkagm3MhJ4tE5RkoJ0aeweMzznTU9MB4k4yClKugEciE9w1cpOWpkjKAkZNg/fjz1NmQrys30slcZ1HB5nnqnGI/cEPbH6D+91Y2fviA7PEE+7BDEEWAf9zwULi4SIxhO58Lya1DDJ7EHCEJptQ/jYsVJridTOheZgzsbMXDen9Aivg8S5ezMx6eeo0AxrASQRhUW56QiIMceHbUGCvioEQnkzFLXOee4XBKRYSpyhTcA2tHO131SZhO6Yev3t0CWepGqEYoADdUM5+l9wch4fnNFrYqkX3ykn+325MrIKz7sD/AdD2NgQQu1Xm6Gc7idKdTBCH6KbITAR4Mxshs2adkuBhCykxH247EQCky/N392KEDvJ7eY3IbMP16j3B7nxAVO5nQZKn3yF6+YFdtDMxyAdf17Kibhp384TB2PPsDoWgxpfHrNWxZwq1WKYPdVBIY4/csJIqc3AFj+ezdPcC+eIbw5h3HBbsd8m2H8rHE6RnXgOaQA/TvGGRUZ4aI7NNPOMYQbwFkjha/ziIqMS5Q6ubXa86WRRHjFjcIj2uEu7PRGADz9BquyBGmJR6+PyVZGMDsrcf8J3cIX34DL0z/2PWjiZBnoRiHPiXexbblvZMRlVvMpEOlAiMK6VJVJPr52mlNZvx6w/UlBWKSObqCB/XDI+zNFbDZjV76QdCNszl+SrpTZ0I15SppkRy7jgfsWaqnXcw/Nq+SgliJumY2RXxxA7s5wFkD5AX87W0a54yOfdwHTFGM3hwhpiRBOIu4od+F7h3h1KQiAQBMNUnEZjYxARhOvCfKdckyfp7qaSDeHmYYYAEqmi6W/LqHtdgfS7iWSii952dzalBYA3xyAbs/pfGpvVglLoO5WCI+bngN8kwhz9DPc0bGSwDV9LVlcNxbi3ITcXxWMyDnyCayueQ54kUWqLJy9fHvpx877hVrNqvDJCLm5L6pxb5y4zQ0SA972wHtciSot5cGIY8pjyYTlP38nFHDPF8A+REpKIgfiPrgsLGFnOs6KrcdyfMAHXDtUIv3sHT/vlDveznAh7GbV29jPfz7KS8mO8qYQEiECPxeJ7B7vxC4QcYKoeAF5Xu54Clf18mM3df8usR2BH9OueENcI3C9fy37IjkOWA9ksVwLyZG5/wGzSW3/Rnspj/LsnJSWD8/jHMW4+luqOENaoyixMR+YtCtShJo9KFcLcfwGTFiMQU7/fDwCPP1G0RNvaoqugXeXHMuudmyi9vtRvKQdNQa3JEgeucSjKhzOgBjeIh8DcR0KEFuABGFvBjZwmqoIfN/ZSmr5W48NekQTY5/+rqymag9cBx6XqdApeoYFk4NtdqHA8J+n5La3PUVoeHz0Bv1BlBpHTAyuuW9xfWGuQLipqaOieblM/gnS8DQ9Mc/PrKA0TFGP3De+eR6LDRko02Hvei9ITKz5NimCIoWdzIuUK+ExPCuR5MTu5wnroJ2ZWG/h/3lt1j8zSvYVx+4YdUV3M11YnWbnJJCIwWTf/+Bm2IuMO9uDzObUUe9P3AEczzCiNU0jHBHrEn3yF6sSLbsOh5wPiT7W0LLc4Q372CmE2RffMYxx64RtG3M/8iOgoiVdAn0FVB+OGH49hWNjsoC4f4B/tvX0CAdWIOw25O8Kg6KnBU7hM0W/v0tEBmslGyJAZjBo/lkgfd/Pkc3M5i9GXDzHx8x+b/9COHLb/iZqBV3z+TEmArdabIGDsdjIvTBe/69mNmEpqH1sI4qrEH44jnMy2ewy8Uo0wTGhLszAx5dq/ZihbjbjxyUukpx1eiH8fnqOtrsKgrSUrYYtjsJdmLxYFdLrpGnT6DkSprvdGPh7kMiNZr3Dwh3D8lciqMY8ovsbJbMf2LLnI90PX3Hgvx45J704invlRJ/pSjxt/fwD2u6OgaJJp7WLJCkIDFFQZKtSPXUiEjXdhSJZZAxTdztz5BGIoy2rmBn5KSo86g5tSg+7On5L7bItL2WPJHDEZAi2uQ50NCXQJGpdsUGV88PSlsNnDD0hykbYSckdR0V67OuPgHdAnSsbbSZNBJlbeBODMsapjER3M9jtZVXYHsZg2dAtzKCZHNE3VwiufxV9xFq3+srvla50euPyI4xGeepJLG9MGhuTPIK0J9VrA2qeyHwZydC2YPI+1T+p4SB5E+sB90CKXTHyQFtImCbCJRCzDuT4wFI1sGuI3+gn/L7NEVQUQEIKa98YLY4o0cF6sjH64Mx6fC1oo/kD2IxoUYKAAOLsqNJEcHFhpwF7VYIY8bROakb4f6QAxDJRMiIQGi6U3UHypKkErQeOF05TDD+8h/uOBc+HsmoFuhcNwJTluMs8v0HbtaaAz6djIYksmjsbMoNThahLiSF2oAsdZru6RNqyB8eBaIbs7zTpjifcb6526X5MoxB6IcE2UcvbObTKDtTQxea54hP+fE4kgqVoS9aeHU2jH0HIwltXglrEiTCaFXKxOxkkrr0sGlT15LiP+uaQUva9dQVr0MLrLaFvblC92KJ4stbDN++Gj+T+wfAGLjra5g6EIZ83ALiHMZQlCMd94ylRE8d0YDEjTCTCfxux857YKiTnUySlCyRNXe7RBSED8nN0M6m8JJDj7IU4hWlmv79B7jVchxpFDmTI/sBdjqhk+Spgc2PhJcnIs1q2rQJ6uzWrpYwLbMf/OOGo5QQ6Vios2gZ5aAoWG/LOMjUNbPo9weRhgbpJpjGqQhAsY3wlUE358js/F5rEqEWUKpYGLtOybK4ukS4f0hmPVoEJptZOSCG+hlMiLj+8QHmR/9MfkjwPONmU1hr+XOnUz6P6o2h6IYabOl4CEjXhxiRff4p/LsP9A6Yjp/n6btXqF4VMK/epu8LTQs3qdOoSfMmACBueSO0GFa7WybT1XQTBEZPDe3oxRY4fX4S7oS+I7IUAiH66RRGCKGq5bfLOYusUwNstgmlo6eGZIXs92Tj16OsOOWAqGpDR1T6fBhJuzSW0kopik1dc/Qm9zb6kEZ/aX8wZowels8yrdGJGAlttgiPG6hyJQ4DkdQ8F8nhKd0H9QDAh3uElvtJ3O2A2ZSW15ES1DgMyJ4+Ibm3pX9Ju6KZVSi4pxdrnm/tBc+FYkcCuAnA4blFsWZ0vKrUVGGmPjNsVk3KpAkd0hjadTJNbUSpZs4aUCEDKqF8EISdvgH0s1GCOgRNdyeea81NRPnAsQNRbsrYecLL/2TEoGFF3VJ+nqD9Wcsxe8gNrM7StaPWgzOxBIV0117wgvLtOAPv5uyIfUHJgu2RGIaJ9SiHP2EMkwwJFEbRmXvIkBIDmQyI5Fmsvv9KvtDQAyVddAskY4ZiA3E+4nUXGy5IX40H+1BDZicR1T0zyrs5FQtRiH7q6aw+z9rdqL+yCYSITASqO8ksrw367z4n1Lo/cO6n7FiRYnFhSMXettyUilwqesuDoCxpNyuyLADC4A3JdU513MYQWqTRjjDhFWJ1NhnNGO3yQcgNziFsdhhevxFXujKhBMY5dh9NkwoUI5Il3ehMkdOLvCEDWA8qQv3C1JfXPGe4xxjpjf/kBu7iIt2bKAiJrSvalPoAd3M95o/LewunE3Ptr6/TZqnIRYoVnc8QVjNk6wbDa9mwJWSFkb6WbmXC9o6HA4uPM7TDzKbc7A6H0QipFxmSODS61YqvLZ4Jfn9AWG/grq+SIVG6X1kGOGa6wzlxhxPSZvBJz67qixSSJEgM0xnzpAYxzo2wv5BATZGzMLRWutqQDgE7nYwe8zHw/avMdFITNhWjGFPXGD5QSaGIhnEWZrtHvuPhryRa69n5mMAupZ8CsXRpo4f3DHqZTOAuLxJhEUJKVG8ArOh6564u0zOnHaqiAGG7R7QGs3ce7mffpLGXu7mBhmrFriOSJHN6s6QPf9Q5fIiJ3EZUKSdX43TC8PY9+QNtyzUIIG62cK/v4BqP4aome19ltfq5TKepg3bzOTvW7TYRF8PxSGKq+NbH40m604KIzi0Rj4/umbH00a9rft6XF3BXlzwQ9wcqFISI6K6viCru9jSTknVh64r30ir7vkufv53PqNfvR4WCQvwkAdqUN6KfYdztYCY13Go5EoG7j1UzRlQrTCclIqVFu10wCjgZahUFR1Fyr5MRFJAKT0XXUvEgpGoYFurxeOTIbH9gwQbwvS8XzNN494GqoDxDP7EYpqOpXD8HbBeRHfl7Hfnq7F/NfLThVfa95uAAPOeUJKgBYq5DGqtnRx7c2lyqWZCeuRqcp+dbseNaGoRb57oInwPD1KDYUJrvCyTlXT9jAdJPDZpraYoFideipdiMfDwS6xnY1U8Bq3rA5Aioe7XMGULGIsAOhOZDSXgk31KKlwmjPxEe/Ag1ONUHq27RAsfnMc39ldjnWrERrZC8/KMVuGIbk4RQD2WNH4WBxBxGyg4HzlGsVFfR8qDXwCNf8T2Ql0ACh5o4uE7IF/OYJIq+YpFgh4ihEvKhQWI88x6ZZJzULQ2GWnSpubC41cTGeyZnHRkSo2YwZjph1X48wsylWzo17Lr74YyRTfa3qetkexmPJ5BENE2VfhwGHjJtS+hrMZfYYR4KlCAdxyJBD6mu44JSF7QsT91J7DrqyE8ND3bpUPQ9KmwexOwk+87nwKXMmyW2VAN+CHEyYz0OwpQfyK4Ju50UDKJiGGSOuFhw1v7iCbIXz9lVyeYXNaNARyzOAqsF+lUF85t3vMayZNyuyARNTqe0sD+kKFZ4nwhNLNxEPqTdjI5dJjVSSt16DQ0tUltkU9D/IRzEmlZkUVp0pYNZbYyN5QZb5CQ/OjcmxOVFglHjMCRIP3Vg6t3gLDv9PBM/AOmkPA/62PX02i8YZWscPQrC/sANeTZBWE7pCdA0GN7fysEhxlAvniI0DYZ375MVeH3HjZNoIfM1uoVyAMIIKesoZD5FnE1IBhQ/C1gDO5+TB/DLr7g2tnvOhJ8+SS6P9pKBMva3v4P19x2K9UB0RMKYgnhNuJsbuGdPiWhMKXmLu5Hbwq+5gnn+BO7JDeyc0HIcBjpJBj9yWlpJrYsR/u4B+d/+EqYPcE+uxzUjh64GAJks5wHaj4xnIwFcbjZNXb76dsSeKJ5bLaUwNakRMHn20QEcqwLD73wG++SaHfP+IMl4ZOUroc8u59wfpCglybYYx3Vy0EPldvpL14+M9sJuB1tVyJ49TRkkoWlSIJUSktOhHXzKs+D+IftfXRNN0ZjmQXI31Gzscc3nQ1QHbrUimhB53eh7Xm+Rc2TYNESijsLbiDEhD/Eg/JaySK9rr6/Io8ozuD4mKH5MrqWSq3wETk8N/fYHIgP7T3lWlI8xNaJRxsT5Tvz1geR6qwg04tiB+wowPlKllo+It22RzjUds6vPfzRE10Mp19Rwnj9MTDL6yfdI2TzRAt1FTFJ2n0thIVHe7cVYpMAw1bOfRRSbCJtkbkEuTIx91PRAiwB17cuOnKF0K16gyvZykRW0F6MJQb7jwZrvWSm1l3HUDgv7XxOTtAKy/SiX6KejDFB9jZU8ETMpCAxtSMsHfl0/M8m0QYOANBQhFToDJXx2iPC5YbXmyeosHwll2p4PAudFYlE8BbIDP/SQCUvT8eDPd8wv2H1aMKBCuy+txmezj+RXbrXiw7vdAXkB9+lLWp1KcAq8xH3mGXXUIsezizlhL3X4Uxcx70eugc78BdYzYqJCvS6tQWM/cN42mRAdiJFSOi0MohQThwOveT4nN0HNQMpSgocOqSOyVYXsyTVwahC+fiUd+ejDn8KDBLo0ziZyVdpURZMcmhZRQomMs4jPrtBfThAnnJGnTgUy05VkMr/Zon8yR3bgDFg7wXA8csOSqFOOPDgb99stIertPlnJIkGyCmVa3r/1ZowWFk97Fkk94sBiJ71XGduYnBtqEIWIOsvRoa9LXZsVRz+7WsJeXqR5vJHxRlhvPkJWkGU0RdlsRxMjlZpOpym+1Tx/wo26yGHmc/799SXh27t7mLaD8ZGz+u0ebrkg0axj3G34zet0oE/fBwz1eNiHQiy7pwaIokX2XCPuyQ271Kc3vCe394TkhSipBUkU61t97sLjGhgG2BsiKcOr1wCA7skU9YeI4qeveHBKMaNQcjweaQELELr/7qcI2y0Ps+mUXb339J+PMUkVY092+vkhqQiMZlSE3Q7Z3R7I3MedatcnaJ9BPT1C0zDV8+IiGSIBHLkZsRg2ZcmicTaFxvvy9Ti+sdL1pnRB4Tb41yRlMgzJJ/WAu7iQYuU+jQ2NWCprF645FKak6ybKEtnnnyJ79hSarcDkwUO6tth28ryL/0de8H60bSKZmiwnX6PIeQ+6PqGDiIHduNiE63MZh56FkHBb7GzKVM2MeSIpIXE6IeFwoFWzu75K+52OO+205ntVF8WEaFgZFQaERY1BRsmc8Qtjf0Xo3zUR5YN4wOBsfB2J7BYbFrlKau9nPGvOG13EMTSvn41nY3sxIt+uZ8xvEFKfWmkbiog+ksP7MiZ/AR2Dn4fkuZM03gYoHk06r7MTiHAsSKZXfw7lPVR3BrYz6BcG2VCPB35KIhI9vcIIgBYIURa5RAPPgeaaOuBiwxub71kxNdcmJQkWrcISRmbmtEYsNvx5zRVQfwDqDwLHL88KESkEXE/ynxcNP2+8dPHS6RuRIuqYIEE4QvAbpDkqtpQFDpWRDh8y6zGJ/9BeGBRrzkqGmu/Xbgl3AgLByM13jVxPx4di/3vXmJ9a+Nu7pOF2ixnM6hr+3QeSt0SvCmsQX94gOAP7JReu2re62TQRzexqifD5S0Cz0GUx6nxfQzjsasnO5TRmnbtnTxH3+xSuoTp25QMkqZ1YZirrOLHuhail0qPkPKibpGWEaeh6hA93hJvrCr6ngQjnuTZ9vykKmGEY+Q0AlKEcfUhzYHXWM8bAvLtH/oYuYEY8DJIRSlmmsBv3yacYeg/782/gwXlibCS4qCoR7kZFAZxjEaOzUIH24+CT3l917HYygRe41M2mtNXNM4EfKWWzy0vpxgLczQ383R2/ZrkYmeKnJnnYKzfAvHgK/83r5M/gP9yOh1KkUUvylFjMYGUM8pG5TF2xEAA4uhCzIHt5Ab+cwDqL+JU8N9Mpwqu3gHPIXr5APJw4ZRMPfRYRNE+JL66Bf/41ULAwzE4BtrfoFuya8n3E6crC19JIDIDtBoQzvTn6Af75JdzxhOE3r6nOePaUxZSQTnlAzkfZ6+MG9iQGNiKjzB9OuH615uEVY7I0DpstC4HZlARJWRtuUgMvnyM+Eq1x4r0ftrt0ePCDD5QY6jgCI9E0rY2yhDmRHJecNHsqc0xewCwXgPjk01thw89Y/BQ0c8JdX1HC2LZUpWgwUJ6lMZb6epjphJ4DxyOw3SO7e4QXwqzJc44VVmTsh/0hIQqKInyERBQ50ASEXjwkFjMJjNrzs5bMCZOPqYzQtejEJjzwUIUlmhSksACAOBiiW/0wqnz6Xux4eyoARDrLjBKxK89zWRenxK0xggpqoFK4f5BERJJHNW0zei8prDOYpmWn7z2JsJKgqPHo/apCc2WozZextVFiemnQXgDVLSPg8x2SQ1/5GNFPDIapgTuxk1dEGxjPzKSiO7AJdh2Lh/aCf5fgf4tkQ+9U3285EddE2/zI89K1JnkKaDaAa7SJJSKQ3AajSOlr+gRkRxYn5QOSJb8Zxvelnj0ZDCuJxIAPH5MI0hpxYnyjXgECWxQn0dsLac4OQHNl4PMRVQj5WHFp/K/OWs79BFzLmxbOqq9MWJbthYEvTbIltoPM3Od0HNQOH3aEO/S6hhkhF3Uh7L1BsSMlM2YGpiUcMkzHMCLX8mb2OYuW9jKifTYAeYB7yFHe2wTfALw+TXBqVg5zZc5fLIGHR/j1BllVJR0/AJKulgsEY2C3p2Qio4eDBnokOVNmEauSJDBxuIritqebR5KKFTkPjDwDxIhID2sjPgWJTa+wp4TyqP1pHMQXf39Iczrq4HOZh/tUJJxbjJ7nm6fXjx52siCDWPgRRklZIofS2WfyQpfo2CQ96mXOLX/WQiQcDsi++Azbf/Uc7cLi+q/vkokKAJFNNlCyVPbJS15W05Cl7AVpac3Y6YgyQ+1c49mcM/rAe3fkwaDoTnhY08r4dGK3XhTshk4MMlGrZTedpo4Tw4D45r0k8AmkqGz2GBPcHwCYF0+Bez5LSQXStgiHA5xz6dr1+VDVgl3OYB63GmAmRV+A/ewl4v0jDxOdHQMMrJL3YncnRJVSAaje7uHai9T1RCHkqiFYuYmI8jrDq9dC3rJwtxsWb9bAPrlG//wC2d0U4etX7P5kRm0nExYt729JsssyjiaOJ/gf/4wHtRJdZSaO4BExHtqJHPv+NvFW1KkSQCLOjR8o1Tb6eyWDAhg1+97zc1UbXn3Wc0Ycx/1hVN+IIVRoGvKTpxMmhDYthg93HEfpiKVpk8zVXVwQ6n5Ycz01RA+yzz7B8Xefof7VHfD4yEKt51gn9j3C/mO5pB7aWkiT2HpK6wnBE+kRXkpsO3bhVUnkTYmFXc9x2XkseNeLkdd+XCuqqNFx3zAkBRJTA3O4Ih+lsqcT+QfDIKoiCzOdEIELUcZ0fCajkAeV7Q/xikjZJMKzCk0DVxTpWYnDAIj3hZ3NCPsLLy15uwhnTflkp6cSaCej4uxokhkcx9XibDvh92jEvYbgRcu/V2/+firdt+N5qZH3mqALCHdAigA9K1MSoLD3FY3Xw9tXQPaIlMbp5YC3gpBnR3oBcHQfRQJPeaJr+B7hWchkSuZRC0Jl5ud7JLkDzkgKQ0V4IzuNtruJjW9G0oG6Gmm8cHYkvHK6oVNRvpOLbc7m/o4Xl+2R7ICHiUnaSZiPvQhiBtiWc3wvHgReNZozgVzOChAtNHwFmA1h/l6clFhdUX3gGohrkjA0JxHdcy4e+5gjGuD00sMsOmSFR39XY/4rh+wU0Vs+NP2nV3D/yPzwc9c1k+eIMjc3GQ8E+9UrIBc41Icx4EY2GNWZx3/6Bcx8zqpZDHZMnpFVLAmAuompntvuj1SfJAMdjgpMXdF98Pxg06p7twfEfhZWfN2teBuIlpqbagW/P6RZosKDqXCRwBt+sRv9BYKnVa0c9CYvkg3s6Bo3ZQeto4btlnC+Ri2rMcx+DzubYffHz3D3R47F7DB2n4yQpWQunE5AjHT+k0PcpFGJhfvsE96Hh8fRVc8H2eB7JAMV79PvmXQobOveJ7azAXitbYco9szu8oJjCZEAqiLgIwMctWo1JqkqTMWglfjmfdqI0/0Spjz13HlST7jFgp+D98CHB0ogy5KQf17APb0Bup7FmHM8dLe0V4W6P4qVLfIs+dWbbmCDcKYKosEW4GsihH5ZwSjRS5QE6PqU9QBrkX/1LkX0AlMeikq8m1RQKWf8zkvg3X0q6M6TEsN2D81RAJC6ZzgJmBpGroC7uuR9bNpUwCYDH2AsOvsO4XBgEV6V9OuXebquSf2VCpDIiF93fU3XufWa/gCid3dyUKWQL0OYPJ5O6ZBWc6q426dOXh0sY54hOwy0UAYSmViVMXa5GPMEjE3W4dF7euUv5ohuD7/u0rUbN4aJxbORoZXuXz089FpMUSR+STLzEntvfV/a5ce2xfD+FtmnLxCXU5jdCTgcWbz3ouJpGo4+hgHh/gHu+hru6iK979j3fH91zf1wUnEv68STQMKj4vHE77EiiU4Ewxyx515lb65weJ6TFS8EdEWGjY8YFiZZWwMCo4u0fKiFnzYRMNDI/F5I5b1wfbOTwOwCnqgZnnLpohPCYIbEyFePmShMf+UEDFMkzb4WB4CsORl9+5Ijb0Set/185Bjo9fiCBboWFZO3QpjPpckOQObaMXZXiXyE/mmZq9UKTXmkisoiYqtwPhd+Kb7/+jXqgawwSLcw4oYk+sNmhDxGHaUUEFse5Erk62d80+UjjRaCcgE8YRzbKqzDcYS+h+xIFuVQGbSXvOlK8OgWBpP3IeURqO1wzKBOsEk50Mw55zVZAAxQ3jGkqJ9X6C48Js/2uPj+Ad98+QTLf87gK4PHH0zw5DerpHHVQwZZBsw4Tw3vbkdTG51bCQSsUjgr824zqWHdPJm6nMP3Qbz/VSozWv56GDf6nqegEWsoSavrMaQkbaJjfKkaa+jBCQBuseCmVZXcCJQRnY9yLVqeujGmFiBhx9jRh9wIhCedgL+7h87T9SBK1yeOhaYoSNpzNsm7cOCMvrlw8EXE9DUAiQZWZMLk3Ly8Jq4JC5srJRu7iwOLNYjznX98HMl6MgoAMJLwpvPkc2/rClgsWBSITDEdcKLBDpst7596w4dAslOWIbTtRxCuXczJ6j4e4TQuWIhZmsOQrk2ilu18ljz3eW8vifQ8rsUm2iZyFmFzOxoauSu4F8/oy75cwBnDA+J4Qjid4K4u+RmJpHMQxE5tve0AmKOM/WRv0l+aNOdWKxK7jqckDYXRxMeaXeDjGvHLb1JgFH7zbmSvayKfEQVKev9jwccAHB5uZjoZMxCKnLHbr17DOCez5G5kpEsXC2CM0XaOMLhK26zlfZQDO3Y9CaBizsRUTM7ZEUbHu0Ry03AhNb/yPrk+KhlU5Y9O4GwlwOX3B45m7JnDpTFkwfvR9jutPTExisMALxwKdRu100ky/0qmXcBIHj0zGdL8gJROKI1AUsPIeMBUk4Qgqvph+M0ruMsLRCtFSNvxfsq+pd4I0RhgOcNwPYd7PAJ3DzCLOfxqhv6yQj93qN81sHWB6BxDgR42OI8ltk+uyYNZb+BurhHnU+4f2x1i5tAtTEKkYQF4IczNxrwa7fQh3DK1lVdIHxgR39RYyvj83PXPlxgD73qIU6w8C4YyPF/yvKO/wCh7V4VcdkJK402ywlLGDz3PxGITkXkgWpN4CVosqGePGteFTLlqo/9BzICMFoNcrtkJ6IUd2c9N8tNXB6Mob9iduMI1Gcx4Lnw1DNK5vc34w3U2r1DLMAHiHMkBkKl8vKBiTdjCR5OqoHwvhgxTk6AUjVNMKYQFD8/yUW5Awaqol9dRfSaMSBm7iHZlydC0AqNU/FmuI8nJFzT/8bVD8dkWIRocNjl8HWEHg+xgUGwymC+X+M0XM/zhH3yDmx/u8TfvPsX2JyuU20+w/JHF8JtXCADc5QWhYSEMoe8RRFPPBZqlRaTkouBp7MJDSmRosqF8pCG2btSby+YVj1QDMDlO5op5xpmhaLITQanIx8Q8+b4ElVoH49gFmOkEULMNTa4zlgz6s7m0bny68ZzP1FO8Z9cjrDfj+EC6B5MXiaDlrq/4fzlE/HbLQkdDgwJdCctNwPU/Glz8zbvk/554DM5CDWcAJNkiIAeGmvXsD4j2lPT0H/06O2TsdArz8hnCtII5tuP8fH9gp62ucPK1NFHJRiOn2RRBigMjzojhgbtQ9vSJxNju06GJJ1cwEjSlkqqw30MTBKkeINJxPvpwTkiGpxOyT14i3D+wi5NnIKU4igd8PDVMZxQ7Yfv0hlkLZ/Nyczjh/8/Wn/TKtmRpYthnZrvz3v10t39dvOgjI7Myk1mVRRZJoQABpKgGhABBmkgDDQoQNCEEqBnoHyj/gqYSJxxQgCCJIlmtWKyKrIzKjIiM7sVrbnd6P97uzsw0+NayfW4W7+S9d9+9fty3721rrW99jcpykzzXA3CAGoCF0hH6NkxZRFnAyD7Y39xyd31+Crta0bES4DMhk51xLrHy7WwmhEi5ZzvALuaw1hJulkAmRQYUVQl1PUgdhSwZLlZw3/4M8fU7cjX0OzUmySgBiBe9h4lsrBKfQQpyWpWorFJ29kGsck2e0cFO7zGx8lYuiZ2MEYs8Wf6afLDlThOwoHE4WSIWGeztZuD7yHvWZxPOwc1LrqZU4SOrtdi2bDrVFU8m/9ixeTEi6eVFix/cP3Y8hj09Qawb+Ovr5F2S7muxLFc76ug9XFGk141tC393L/4i5EzY8Rjmk5e8n69uaYr09AL1xye4+14J208w+2aF6rqGaXtUv7pE1XV0q5xMYKdjJnG2HcmBjmZI5lhTYVCWiCEA9yJjPjvB9genKWK+WSJx26q7SNIqgGZh0gq6mwDIBuK4Efm4ysJ9geQAqMU/BepF7vDVHTc70CPDlxxOXSOF9wD0UkO7mRlUeCXDgWJk3c13Q9PxgSutFPTqjjLBdoHBYG+D5MOjIX4qmVfyfXnPAT8LBeC2gOvZhRhPeCC53QVCICaS2GdET6gBBoB0RwbJ8ciEiJDRURCQiyeyB4X2Vf9vwqPdzJ7/HjOTTBmCwC6qn3SeF1n5A1rUXU00oJvJ+qLnf4cCKQrxMdExO0KCgeTCgfnLWR3x8KlFP4uorg26Ka+JDxa580CQcIUYkTUGzSnVAqPXDj+vP4E/6fD5R1ewf2eLX89fINrnWPaE8MNmC42zVMmepvSFY50gPQi0b+fTZMaRTHJ0Pyldv05HVnzzo/fA4UijkLJA2O6EUTwY2YTuMQHqwxUA/yXATCZwJXeVYTGB6TxiZtEuRsjvDjBv3st7Y9H2920KSfmA1S0HHIxJxDZ0PSHRg0zqjyJHFfKPSkSKkYY5EmyT4m3FulQP2Pm/eP0BMxhAcqLr374HBPrWMJxUoJcL6t5fv/nwWsh0mb16yYPu5nZIWDvWMF+9Jsv9IEY5h+MH4Ut2MnlEkOoH//i2Q3jYQq1V7Xw+OP5ljGbVQzjlCrx+R4j5ZMn7aE/mtaar2dmMn/tRGqGiCtSCszkxWQbIvRCbBnHXpNWDHqomb4FG0KCyAM5PgfUDGzLr4C9W8gOQzEryLQ+T4wVVNP3IoVwuqJkHhNthENYPYm9MImc8X8L2Pfz9Pfz9mgTUpoFbLpM/fnLdWy3FvY7rliHmOkvuj/ze+vTvEG/7cDjQAOpbL3D/R+c4aTuEr775EGbXvbn3JJjJ/ZU9ewonJFFFaYyrEPZHchecJadHjaCksU3EXJmUk+Wv94MaRBpedCS/KWFNm8aw2dEq99qjf9gkGD56z+sn6ylF1WxVsZkTszCjHhmCLBhNvrSWjV7Xwm+3MG2WfEWsrqDkufJX1+n709VfaI+Do6A0mSbLuJsX2+uEzuizOBkBQdQ4+yPaV6cwJxP40mH3smDKXhcx+6bH+Dd3wPUdvwNxEY1dD9Q1/A39KdI9XZUpz0BzS4y1QM572J/NsX/iUggPBMKHoXtrisgFBz/aypuUdeH8o0G1Q7LI1wGYEniSYJS4HnLWR9sD9RkdBst7DeWBhJsNQ2mxl+YiB0wYSO42H+ql2s6Hgl4A2sT4wiRlQLRDiJ0O7aYH8iOEwyfD+FGIiAHI9MP7yoiWkLI4tbiF6OFDwenbV0hGORpiADtkg/NDDpKFvqKzkR4Y1S39jimpUwSBr9Es2SVlNd9otQvYfmTZXWnn80g7GVXxc6B6AIYIQnhkzqB8ARPl4gsvLRRsLlwbk4853ZjYVR0K8wEctL8d4+OPr9G82CH8fAbEgYEJy2vhWot4WeJ3dy9w9v0b/OD3vsbPps/Rjz7G6X9zBXz9hpOiQOg61SQWsLD4NdNdZ9ZYN9yPAZyY9/shAU7S5B5nh4f9HlaNhwBEMdB5DOMHTeuTgzL6QGfDxRT+4ydoTit2k1tmccc372FPT2CmJcyhRq867DwjeSnSHz1ZCMsBmMyJlBSpTYsWW+vgVksh7ZC45puGpKkQ2GTIn41NQ3TDWMqgZlNOlE3DiToqIiEHe9cmp7j0K8tgJo4Fr+tJPhPOhHHmAwTD/eA72H22RL7rURyPJGUBnOTE+jdqMetoNKOJdukQfbRjhjR3dkFSZ5Smr3/7Do+dHtNu2pjBM16lf4DsXsWB8Xjkvy8XXCOJwY2uA/xmxz8/qmDG0yEvXpzpYA0RiO0W2YvnQFmg/+JLfi9nJ5TM6fUMHvXT8cDPGbG5LrYRxwuT9py+MrwO3QNh99UMVtcrks8OAGZ7AMYjWGkaQycpi4sZ8EDpXmwayhWvbsQjPmeDKveYXS6ApoE7PSGkfzwOxktA8lAAgOyba5xcbxD3NOf6gLiqJNTgYSYzpt7d3nFVokTCsoTvenJw0ME/bODm0yHdTwtVGBpZv92mmNzYtuTwxEA2e9sOfhx/w5PfFAXtiIUrYKdTMXrqiMCpPBWU3hl5xk3BJhdAgvg1rptrDHmPag2toVt9j3B9i8e/UrO93aZGxj294Brn+o73Xp4NqoEiB1SNIOeMrrtSdsJ4DISI4rfvEe7XyJ+cY//sBbqpwclfe4z/xZeUturZJDwJxi6HwU44POIoKIola7V0TbsW3axAcDzb1c7XdiTPkZEf0Z0ERBthjxbFg0V5J/dEHFDmIBuhvkKyrHc14BcSkGdEfz8VyL4bXPq6KW17TaAzre1FalgNk7rGz2cHMepZ4gNenebqGG9SLQOowqG8zww2/fKa/RjJDChmIq9vuS5XNCNrTgg5GA/Yhnt6LfomQBiGEdWdoUXvjJ2+L5GkBu2Ubz44fOC9b3o68WlOgK+Eza9TuZAjtJAWD7yQ2REo9hH7pxaaGeBHvMAAxBaR7P9+wn1+lJ/dzfn+tWko78kB0KCi0VUUBYJJyX6uYwMRezIlQ27kRuF7rG4A1+S4XM7w3Ysr/PRVCXeXwx0J6fTTiP1zdnnRAsWdxfafXODqezX+Bz/6K/zk6UtcZxe4+P803O+PKkKuugeVNDIAaTpw56cId2vq0icTwBhOwuKglqI9Y4CdTNNURRMRGmi45QIp4OTRdOu3W7qSTSeJheyenGP3By+w+SSDO0YsfteifPOA+NVr+JQt3sC8eYc+DCS42HgWNtnn4VHj4c7OBrORIgcONDYyeZay0I01NBCRnWjyvpedaIwidTK0HOV1oo1tUiYAREUEQnWnJ2TX+4CwvuZ7OT0RjTE1xUqain2f9tVRVhpaMLqTMe6+n2F05XD2egEIhB6VCHVU8qOw+eWw0wbrcfSqTvehbuBEthhDhFMLZoDfqe5agQ84FAiRTPPjcbAlLogCmJyEJ34+8gNUemXLEsipCEFZAHWNsKklsa2mfC3PgO0WKXAFQHZxhvD2ErHrSF68vYNbLrD5OOMzU3OiSAYlPZDtOJk0M6Jabj4XmBqEaSs2gPAe/eUVEZAZjarsdIJ4tAh1Te5BkUPz7YMQ4+xslohzMIbPhBQt+4Nvw95vuE92Lnnwm6IYWPmbLbDZchouisQPALiCCNLUxqP4MgjMrSszMxoRHRBlgBHNuyJ3iuLRGCemxM7QdnCy1jNFD5yfcKWlqX/eJ+Jsym7Qhl3IrnTM42topkjiU7RtIvoa+dmhaYhKKNGuboBAmZ+7OIN/dgK7bxB/8WvErmUDtT9Icij5OarWUX+R2PXwb94Jmbn4MPciRkLwElesaZSJS9FT1RKbhpwlcE0TvvoGpz6g+KMX8KVFeHkB+/ZaEA6fCLWIgSiXHa6N5m8gBvJULs4R1g/o375H9uQcZjTC7mXBVNcdgCAOfiODZhXRXXREBAqPybRB3zs05Ri2dcj3hM+13vQTroqzeoD2gzOJTKi+AboGiA6oz03y8u8mUpN6k5DzYk203fRS9GcAZpzyXW0S+19RBVUKaEMSDX1qygeuMto50JzynNfarLbDuWx2sjoiq7nyCDmQFQ+EHAjDR4FiCCUYD5gJ0BsWtuaEnVS2N0kmaFsW4k60kNlhgNTzLcQhD4g2ItubD3YlRoh+GjSkfv8AUC8JCRk/wDGAdDgWZCfLdG4FpunGGNABWTeosUN5LxBPFALiSCaYI18r3zBgqDkh96G6izg8NenLhAGyfzHDTz+v8NlnlwgvDb7+2TNeC687GSIYtiO6gfsC//jNZ/ifffbn+L/9j/4Q691LTP/T1/BtS/2qNQhHPrBKEAqHA4vJdjdktzuHCPCQVIhbiDluNuO0tX7gn6nE/lOnbYlTTYfdo70xrIP5w+9j9+kEm08cQgYsf+Ox/GffwF/dwEuWePr1eA9e5AiNQPTbLTXQcoApURBdO/iOA2kPqpOcO1nx8HuUp24lHlTNS9RExDgkWFh95fEoFMiUZAezwAQeWGpRnJPYpzvwRLgDOEUVOdxK/BMG7hZiZlGfRdSnwOTyDMVv6Fbnzk6pYe/79H6VVGjKEuZkCfuwTUXIPblgURZb4bDdJs29FqlkRDSdwOq+u+/hzk7J3BcGO6LIpMYjEp50P76liZGdjOhwKF4TKkXz+wOy0QimqljM53MawBgD0/XIXjxH2GwRdjtkL1+wyNUNneV0mr44S89TdMI+nphkzFXeI63U+hencL/aI9zcwVzfwj69QHQW/tdfDDrwriVnIi9gFiRUhvc1/M0t3Pl58jNAjHDzOcxkjF6uWQrWiZ4I1PtrRMlVCI/22OozkHb6ZZmu7+MGMm63bKalqCV1xKhKU7TpOpr7HA60YR5NPsgqsKOKyI34S0TxcEDwhNol98JKgI/JJJXSMRI4pfllGe/X+3vmNtTk47jlEhrUFfYHYLtNU7YxBkHNfjSp83FjoDr+qkRczmA6D7PecnoWC139nACS9wJvYPeBPXUyQToe2XRKWmD0YWjQIJsYJ7klOjDIe+QPoX9I3O0w/fUah48XWP9whvkog/0Xv2DTp6iepQTRFjnRjMmEKg9BCxEiPSAeWQl3P/4sJc5GA2w/D8hf7jEbNwhNju5qAnu0cE2O3TJHdXYEJj185YSkHpEdeZ5X1yTJK7u/m5hk/qNKuL4YXGpNGOB2lbgn2+AGSWmGCMR8IBSq5N34AQ2IDinxr1myhk2/kRVGyWIendoOm2RJXGw42HZTeQ8tcDwfnl93BKxtB4lcsTEpcKebIL0oQOiAJh9SCxzfSHgElWu6n35IuijJxF6zeQg5i6s6AnYTwirKWHQNm4p+bJLPsf491/E95fuIch3o46z6fyBlCmiwT7EBzRucpC9l2hTw82Y1jXsA/vzmhF92dOysquuYvP+LB/r9j77O8cXXF5gVDT750Vt084BibWGbobsLGTuxfGtw/MUS/3L9Eb53doXNRxbZ0yc8tMuS0b3TiRC1ahgJpDG5MGl9gJGpx19fJ8MT2ovyAA1yGGlymjrbBbUHHY34gMuUwon7SHj1T38Pl38yx+GJw/K3Hq/+3w+Y/Wc/Qf/mLTXDj2B6U5aJ6Z+CQHQSjZEe7qJC0GLo1w+J4BQetnDzKdzFOf9K15LoJbtTSg4JYz72D2dRLdjkaEEXN7Pk3GYdi54eYhKhGvs+NUQaNBM9LX/18A9th7DdAd4L0mDSZ9w/KxCzCAPANUPz4+W13HwuTY0oMOSwDVc3gLN0g5tMgGPN7+9wINs9y+iEKP71iQPRPTLFkdfzd+tkzeouzvh6XceJKkT0l9cImy0bhc0Ofv3AhmPFz5I8GiIP5/7NWxIrn10gijFPnIwQToV1HyM5E8bAvXyG2LTo31/C/uh7eP/3L0ggWkdhMItvgWcD70d8hvuxQXa5ZgNxfkpFw/sr4PKGqIDAt8matioR1w9EKqzjZ784+UCvH71PATrZi+eDmkS+cwBiCeyG/IpSyI26cnp0b6ZYaVXhWDsQ8VRFIzvyFFC1mNOLYjweuDjZYNlrcqpHbFnCbyScSS2ks3zgCDxsksOf5k4kFz55v2FDtMvkWULGoqxKlGOghZF6eCVXOTbYRcFCqX4A+pzsD/CzEt3JiGQ5seAmIimaNMPYb7uY07o5BNp8a9LhdJqucYwxxWg/JgEne2Mh2Ro7PFcmI+fAnZ6QVOwc8Po9Jn/xDYpdwPbjEfDjbzPjYTwiehi4ggp1nYizZjyS6PDj0NAZy3PpyRnufjDC/rnB9vsdDn93j49+7x3y3OP+YYL6qxnGX/N79qMI0xvMxjViMGktnW8Nsj0ST43W8xH9BEnG9zjbRol8jwnn/YjNR3CCqqtYoxxyAmBo2KNBPtlR/u54IAD6EuI+a+Bqg+MZOQflHXlrrkHyDgi5rDZmJkntNd+gWPP9mB6ABTL1ANDQA53eraftrR8ZqOc+gJQQ6OpBjpdvkbyONU1QgxXyPT9Yn/MH2haJWKeJg6lj8tzPdFOToI9oiCCoIoGyQMMP57lnYcNiUgSx2iO6mv9Po3tDTqiym4mfQMMvwlcmcQaqu4hmYdg9TUQdMOWaRJMCZ39V4K/ff4rP/s7XePmdK7zpnoi1YkB5ZxGKiG4RkJ3W+PHLN7Am4uf/+Xdx9vMOuz/+GOPXO+DXX6VoTViH7Mk54VcpUP6BhDbdabrVCkYS+iDudvogQaAyLUCx7wcSjkCpYbcDpGihLIGzJdpljtWvGlQ/+YKSNzlQaWtq02FpJ2N6ci+mg7RNyFjpV8f9ZtxsCGE+Zo47Ryc57dIBQpviGJbS33S14Bx/H6C8an8gG92wgdJD36ttshjBoB1+XvA1krRR3NlMWcKerEgeMiY1V8n9MHxIiCy2AYCl6dVx4AYo+1pZ2eFhw0bL0pgpNg2y+SxZKStcrcUs1LXsQtX1kAgANhtKIE9PeH1yhvvY2ZTEwRAGJvij/XWQe0S9FwCQrS+f3Yq7mr+9I4zetDB3D/C7PXfYv/2KPIyyBA4HkrnUDbIsYP0Y3dmYlqYGiE5WakuDfM/9f3nPJnn7KQ/NOBnxsD7WJP9NJyxO2y3s2SmQPAAA8+oZcHmDcH2TUijRDqsHALCrpST6GTLCBSqPXZu+w9g0iPsDzGoB6wNVNvWwKjJlkaZdf3NLi+I7NipJFiorM2MNooxSsaU0Nsr3jChSthATTwcxkhOwmDOzQRJAU2CU2EmbqiQvI6crYLhfJ6lfkqM+ek0NHEpEv8UM/m6d7h9tfE3ajfsUHw1gkLPGKO9tBt949CclisUM9mHDJlgMfjSXQxtuRQrTW+paTuOq6JmRqAprOc23HZuMzY7S37xgM6NBZEWRnnd/e8d7VjwXwm6P6c9vsfnxGR6+O8Oy8zBfvqX1dyM+FNJwWYAhavMZYu/hr69Tw4PvfIKv/oMl4h9t8Hdffom/vH2Gmy9O8Pqr58hqg0pqE4dWOeOXAdZEmINj7o3I+ropC2h2YBF2RxZe4wenWgBoT5khk++Yj5MQa5X6ycSvQ7Qq5ZSc7pdEjWNGpCAl2pqBa5MdaFanwXntHBi/l58l5MZuxv8eXXHgVitgmw81PKsHSWH22F5QTQZMLx1LaWh3G4eOwQCAyiIEttfAoH7Cab848EN1chGVjJBvhglcSRn5jv+eHcn637/g7+VbdjW6kgD4mtU1i3a7AKorvqeQGyirUhn/uZAS+zEvRL7lRfIjDXcQt6QDzUu6GV0GswPfC8CfEwquPFwN1Gf8Yqo7xhp/9Q8/RvvtI1788BJvbxewb0ZoTgKMB5YfrbE7lPjJzz7D/BcZpjcB+6cZ2oWBr2ZYXC/48E/GcBWLvd9uOd0CZGcLDAyAD8yPPwEAFF/fpVhbYy2nA3Hv40FXDnGf2pGfrNJhgdUc/WoM20VU74bMcv0VGongVdiubSV4px0gto7JeWrm4R82dMQTYpOdjMlWfwRp4pFpi9ocm7LglKFwuAbf5JyS0XGagbXMStgyiCTGSDjw2RMa/3Qd+surgWUu4SJ+syH7v6oQmgbh7p4EOYG4lVhnx+PhOsjnLu9blLdj3hOvb0GC8OCEaEZVai6ss3Q9c44wtDRzepBD/m4i4XnP78cYoCoRpZlxc5q62MUM+Owl3MOepLX5FP2798NhLA2FyTIW17KEv7yCPTthnG3TfACjW+fgTlbUY+9oyqLvNa4fPtDERzG2QdzDnp9i8+99jv1TlwhFoQDG75mG2Y8NqlueEd3EoLgHmhPg8PEC5c9BSamEIfWv3/D61TW/P4HTw6+/TJOwSjex2cnOl99FuF+T3CrWuqHvB+vXvk9cETMa8WdUFTkriq5Y0fTHTnIbehZ0I1G3mAzS2CyDXa0IMcs9kaKZtSgXBaysCqxkc1COeISrKlpy363hHzYpYMcUBfkOkgcQ93sJdLLDPaHrCVUVOEc+z9kp4vNz4NjCPjLwSXyIlhbBQTkJORUf0CwC4V7E9QPsdofJeoaYOdjVEvHmTopzDjUYUnlmkgmLuyT/XJGQSISYVlfqT6GrEMaCkwujDZVKOrHb04+gqriy6dgs2xCw6D2aj09QP59hvDtBuCbR11YVib5i6YwQERFS7HDY7RD/zo/x6/91jn/7+z/HrivxX/7iuxj/qsRMdve9EO90+PSlAT464PMnt/ji7RkmX8vQYASRlmLdy3oZGFDmbiqkQg+60UrR7itO4NnRpJCfZoUP+ALZcVgt2w6IwvK3PVDdSgMiJERVAPRjA18RWc4OrIFZE9GPbUIiNFgI8v7VLAgGqE9IyC9EoRpywFK7H5PLn684Hec7kfuVQD+KyTKxnccEiYdcdgsCm7uaP9SXEmcoUkIN4MkODFPoJ5GZAetI/aKQ8voxRFsv70eY+XrRnQ6Vkd1SyIc4RN39h3yAVfqJQbZnyEMoJAHQysQvuk69cPk2igUjJ/0ouubyDgle0d1NkLVEdgDKvx7h5h89Q/abEUIREfOA0ZWF/69OMf5nU8z/OkO+j2gWNiEbh3OL/R+84F5UJERwlrKyroVfr4d9nETYGudQfHOP4rdXCO/oCKdM9McBKzA0hIGxCdqDWJm6i3PEj57Dn0xgW4983aRJEQCnR2OgATgptlgMUoKQCe10SoSg7cRwxKRpkR7fAqUGyStX6ZP3cIs5souzpHkOD1uEd5dpDz6wsUXCJX4IAJsgTRw0Yr6y//4F2s/OqTV3jpOSxAcrOzt2LexyQXOVvmcjI82G7ng1SyBBwgDy377D7KuAfBeBzKViHsWPnaYoIv1rO2jKnSmKD6ZKU5aE5eVwt1X1KChpxOJf5FQ+tGQ2m6qC+eot4t0asa7TJOwW83S9bcWcBxg77D+dE6Z2SclUCOSbCNze/+4rIkJnC7LFZxwL/P097GpJpGk8gntyDvPiKd79hy+xf+YQHeFG3WW2CyJu1U0US1JB6oQd3U9Y1MJ2yzXXbDygIBL1HPd7Kb5gsRInN5LtOC2781MkNYkxQNcNnJFHjG/lVSDLEK5uEPU+cQ729ISs/vt7Mvv3h/Q9+w3z5k3J4mVyNqz+5oZ8j9UqrWNgDOxsSmg8y8h9UdKIsUIuzAfb6EiI3UoCYtjtef82bPb9w4ayzNFIGheb7jGd8AE25P7mFuYbee6XC9jz0wH1y3JoBoF9RMZV90VdBSLnyik8bBDeXSJ8/YYKg1GVnndTDVLbKMQ9O6oSj8jOZiRUPk4aFDi+//gCOBfHRd31Wws1QTNZnoYITvw7hM2G13Q+k0PIAocjivdbZPsescxpHTwXZEXWWrFpEQ8HEmAPJLv6f/9v4df/qwL/4E/+IX7y5hV+9599C8XbIpHp2jkLen0acbyIgAHalcdqscfruyXc62qA64U0roTyfiR++o84ZpoOq1wyVytqLueHDJ1qD6xkPiXyaR3kQEklmf4cRQeUAzC6iXTYbU2yHc63wPHMpvUAgMHttuC/B/cIhTiQ09ZPkLgRme2G6VdtB9v50CUVW9ltey3A/PfHxRmBhjnNangdQKAHIfxZT3IDAwoIY3RTOhiFjD+zEKlENzHIdzE5GxUb/v9uIkY9DXfz9Yn5wFox6TnrRzpI8RqgPwHfi0olTCSceXhCVGB0xb1JN5YVgdefH9HKPqUfIyWfaTqhq4HgmbCEaBkheReZiVACtjMwPsJnXEEczw18kcMXTzDvaIXJLPZ5Cv8wowpWiq/JM4S6QfjdV1CWvJ3NUsgQsgxhf5emHdU12+kEKSjEe2QnKxjvkb2+RRxX6E8HnwG1l7XTado5pwAbkYslHkFZsKBLiIoSf1QrzpS7R5B5kcOqF8CxHoJLpDiqW587PeF7FxTBFDmL9uEwyIIAko4uTgFrke97FF/dwr+9HFzNun4gNnWSDz+qaI385Azxzfv0M1V2B2u5q769S5NOf3mF2dfP0S7yQSKlHAFJSgOQHNYAUML1qHnjXzGDCY8WrozZ9KrZtmJ0ZE9PEN6+Q7i75wRrzVAYgHQoZx+/YOMgtr3che7R/+4ruNkM7tkT+DfviZycrhBv7+HvSY7r37xFljlgNkN4d8X7ablA99E5+lmOw0WGkPFz9iM25uVa5H2Gz4bGeLPYm3QgJu8PA7hzsrLDbg9Xz5F9/Ar+9VtegtM5zGwMs9mTb9L3qYjFu3vq4pUlbywLmWFojVXDqFE1QOOzGff4Gin9/Anc3UOS8JnJmN+LrK+Mcwzsmc3ovnlzKzwXMfGJEe7pBYuoKgqcY8E5HofdOwR+Px4RO1l39X2Sr6YAqEfuetqYaNCXmRPFcyfLD2SvavGcVkeHA+w649pD14Vidf3Yc8KOxazLh3ResDnNGMIkJlNq0IPCEu3Y7Tmp62eSe9eMee2MTNnpORwL2iIGT67tYMbVQCRUEyyNPy9LxlPHAISQUhz1V+K93NwC92sU9VNEZxlm1nW89lYGjZLmT0EzTr7zCb75+yX+gz/8V/jn95/A/vmM9UlWy17241r4utMeuyXw6pMbvH6/Qv5Nicl7Es7bOZJXQC+SOSc+NqrRV+ve7AhkAtUDRBRMDxgh9hVrIeJNpEmQ4VJfq11EjK4ZRNTNTSIDFu1AEnQNP4ciDqrpH11xJeBLvq4W/uIBYjCERNbvR0iEe20YQiYNgJJ3TIOkewRY4Lpc/umQ5Au+4p/LDgObsZuaRNQLYSAWKmxiQkx2jDqxmzjAHizsvJCM4x1kELYjnNJNNIfApAIOgWmi4UUiuY+Yh6oACONH2D6i2IKaZfki1bBBX881RDt8CZTrgHZmUvRpdhzSndqFrCp2XF3Ylu+/G5Op6QsjzRM7Ltuy+TE9lQL1WUQoHLrxS5z+w4j+9RvuaCdjuJfPoZar0e8TwUUtSRnEQ5gv1g2MsQkl0P25hnW41QImlrDjEaKzMFt5aO7XML+p4YOwqLOMcP/+wMPWuiFVrG1ZVMdjxLYjMU0OQE5PJN9EkSUCnEpiDGniM9MJi6vyCjTwSBjbj1O8dIKmPMymhkZ1xPHZBWKVwf7uLfJveipC1AhGCU9AkiOaLIP/5g2Je46wpx6oAJLETFcy6jKH4JH/9Wv43/+IKMt+nw7jeDhy/6jBJg2/E6+NT+SE4RbzVEDsdEIoXKB8VWNEUUu4+TT9XZVQsVhgIDxqEckzmNmU3vFty6ZFPO/99TWykyXcxRkJnd/9GP6jE+Q/fw1/fc1GbLcX578RzMtnOHy2wvZVlprow1OT/MIfQ6D5ls+gBqrUZwajqwgEg8OziHJNH41+ZBGfnMI2DUlcxgBiwOTv72HbFubsBHG/J6pR5EBDAypYA3959aihlXtKDKB0L57yMsqSfgAAd8+rBUzH+6J/83ZIuJOgKVPkiXyZ7hH9M8BAcKtF6vmIwa7TrE7byXtDmkblVaTvScisbrlko77ZDAmcVhArIShS0knZnJpfaRFVj39/fT1wf0KgJ4ET1v8jYyw7m8lz2woSEcS3QhC/GBD7AL9eJ28Ft1rw5wKD/r4sU65DFNMkfX6Rca1Ca3FP1c9dPVgWSzaDeg3AMp3PTsZs+IwFTlcwbUekq+/ZPMk/+999xca27+FWS16P+Qwoi6E57BhZffv7K/hP+R38xZevMJJG1bUGh6dMxwuZpv0ZTC/2+L2Ld/j//eozjH5bwnim0sIA069YtH1JBLhZYeC77XVKH2znQ44Es5c7cZat1GeA+nwjagGdzE0EqjvWtP1zqV+GA3cKLnKsOaMrDpPAUINRDKR1E4XXthGEouOb8SIxNH4YikMhQ3Hks52po55O2lqgdc+hEZ9q6ZuLplEh934iB4ToHINIIqIBDk8iiq1JjkXFmvv1UBjUJyzAxY7TdbGRXbxkLNNtj02GWiUWGx4+/YgdEpOY6DrYnPC6lGs2Gv0EyZaY5gcGjRtckxQNUNY/WGe4RhDSYF+apExQm9PyFtwDBmX888/oyiOrKcUIBTvJfMdr4SsADeCnRjLUiSI0K4v1n77E4l+PgMtratevbmSKHZEIdX0z+HMbm2QvanxjJmNY2bGH3R52Pk2TObqekO/6AWa3h5lNk3OaaWmm4tfrdNhEH2SPfuTublSleNIPdOk2SwdcmjoAxM4nIxrILtmv14BOUY8DbiR+NPYd1QltlxLQ0nQiiYdG9rKmyBG++Jq740c2xO7sFP37S6hXunWWJKvtjsVZJrMgZkWPEQU+xYFFv6apjBuP4O/WiNst8l1HqFothi3h6Hg4Jn1/jDFB0rHvkpmPX6+5AlgtEX1Af3ktP4+JbKpmiG2XSImPi4edzWBePYN52KF/+46JZ5MJ4ttLeEVvggQrydrFVhXC7f2Ql/7lO8TPXyTZYeIkfP4R2tMx1p+V2H4GtCce2dYh3xr4H+2wmB7RdBl6b7G7nGD8TQbbR4yu5DAZm7TygwVmXwPBUS3TTYB+NYL9GSFoJ+FXJi+YiNlTU65TN7wHnl3AHGrEh02CmiPIKPfrBwlNmqf0t+zZU5g9GfjxYbDKjfsDcHaC9vsvkb26gPn5F0mO505XNB+SnTOAgUchq6eUzpfTutmdLJOcNtzdpzUOygmbdnWo1PVRWaYG3ojSJ2y2aa+enP40vCitI3b4QGpbVbDzGfwdFR9p3eTFByPPYIBHZF2iQFHOAVOV6WeZouD7sgY41gy5EhRO/+nvHxK/Jd17ziZZI5om5WmEuuZ5Mh4nsyp1RzQS66xKHJNldB6MYWD9O0cJYdMiPmw+cL9MXInpo/c+quggOh4JqtBy+MkzhM9fcSi9L/DbzRlWqx3WFwWKtSXaK2d4PwbCeQt80sJ7i3/+z7+L6VsS23wlsrsJm9qQcZJORkBi5dtNCNkns7tMmuNAvxgvcfGa8gdAIochxnOsO52AgZr4Z70g04IQaO3yFZsI1yCFD4WCNSVkQFkDVofs+KhWexoOxQzwltw8lSgWGxnGIxgHrDsN9QlOgQcCmyvRT7X1ruEHCaJPjFY6pB7JGzlkQHXLLqQTOUO7AGAHFqMvACM5BL4wjC4UFMD0hOOVQKgEPWVGQt6vzUyyLAaGL6+8j8lfABi4AtqkxGLIM/cVxIyBEGd2iCI/NDAhwvSUG7YzaSBaIQ+CDYCqJFSryX2pfFmPpCLRcHIaXZKT0Kz4+TYfO1h/itntPdDS2MOuVoj7PQu9MGgV9o8SncqHukhQNL0BWoSHDR9ETaNTmEyKFsRSNSkFjIWdDjnc4XCgNE8Y+JQkenIOVCoEpJRDrztB/RUii2ORc58sFq/GGBq9dC0sAHt+BoSA/t3lAIvGgS0flTsg/46OTYh6+SfYs2FBd2enRBqubzkJirxKA5SiBhRpAEz2qIlpO3ITYkySQQAILeAejojirsbf9B8UD1OVMC5LxEyVbPHFo6SjXcGWJbJnTxiLqzyApk1TTNwxSQ7A4AYYAuIXX3MKOj2hwY94sqtyxG+3nOTHI/jbO0rOpgX34mVJ9cfNFljMaf6TZYivnuL4YoLjaYbbP+nxD/7uf42xbfGvdy9xXmwxdQ3+/OEV3uwW+NsXX+Hq6Qw/uf0esjdkD6uTWjRcE8ACfWXS4UJ0oMBE3O3Q94hRCFstG6p4/0AeQFnyXtrsyaUoS1hrobHSOlG6xXzYLSsZVf6bkLaFqdg4OGvw7k8r5LsKz39bJodEVCXNbFQ/bmzi3CSVBWgBHcsc8Zu3H3zviQ/TdjDrh9RoJ6LqWBz3HMmM7uwU/mIFJ/HbKefj0bNnRhWVGdYgwg33WF3Te0BkhemXoEs82ESuKyZgSR3QNIjbYUVlrGG+R7ovA1G+EbksSWJb5AlxAYiC0FJ6NDSrcv39/QPs/jA0n7Ka0VhnIgN8zsPJDOb9Lc+jzZYeJqcrMQAbfp66GRpHDpPVZuLymt/fHhwK6oaN5HKO2x/O0E0M5r9y+Pr6I2R/sMbv/+Fv8dOzl4jrAqY1aFcexWmN/pCjeTdGvrEYPxh0MznP90gqLw2paxdSVANQrHnOu1qKfBzi7XVQ7gWhVs4bB18kYn0/l7W4+AN0M/LoYm/STr8fDyRBWvpG2Fai5tUwb40U6AMoqZ31JDoS510DWbPTf0ebj+JBswnkfQDDXkBJD2pYkB3F6asyCfYPuUDlR8CPB4KBSgjpKDhM1lF+sKsFqrfD/sHK92576ZZ6wLURCCy+j/MGtOi7llM/DJKDoZPcAD8SmEW7ploSkoSEgSg7nA6IomTQ968yRg0ZMgGwPiZophsbNKdAttPrNRgA+WKwNVYkopvJZ26oMe3HHGjZTJnBd9rwPeyeOuDf/Rzjt0dkVxsylEtKY2yRw4zmQJbBOStSpIiw2XJfJqQwlYHZOb3hH+vpjciQkGXDQWBd2jGr5BDOJVOd2HW0UpX0r9DSwEcneHTcGyaffolgjXWTSH56TqnPujs9Sbvx2Lb0K5CDEMbCnS646wuBhTgI23+1gslc2vmpw1hs2yGHfTzmpKYacfE9MH0/HGLjESd2heqtkRVKBn+/RgrJefS+ESKjqmUqfdw4UINdcLrTmN9RmQ5hOx5LcYmJJ+GeP6UVseQHxKaB8QFmYuGWS06+OmkdaypC2o5/9+yUjPDdnvr86VSSIVuYJ2dwSvzSIukZlmQedpRqSlGqT0fYPc+w/g7wH//xT/Cnk1/jy/YML6t73PdjfHE4w6Ev8KOT9/hWdY3/79ffQfdxg/vPPapRiyrvcWxz1HWO7pBj9GWB8o58AIUY15875H/vR8j/i5/A398je/kCWM4RvnlLWDn4ZPDj7+5piRwj3Pk5MCoo49vuYIxJxR9AMnPSe+EDdrhIU+Pr9zj7yxVMiB86Kz5skbIJHqXhoeuSFz6Qs6he3SYFjFdkqshJ3qzKYQUjnA+3mBNhKijDiyHS0GtP9EDtfMNmx2n9cGAj0HYkSpZSefp+IDrGCOQZo4c3O/Il5H6NXZ+ku5QMyvMNwOaU/qqZEbIMaDuo1FWHCkXv7NMnSWkBUI1iVguiSJdXkiXQDg1AjER0ZG1iqhJmOqXq5HCg+qYsqdQoc9ibh6QMSL4GdQ3/nY/g1gdAPR/0ewREfkyFR/QeQSKtTVHQoGo8Qnc64dnqedaOroD+nyzxs+UCmEVkTw/omwzllxXCeoLMkQynGnytR/mOyrC+kjRaGWKNB1wYBmDT04cmOpMssfPdUDOSeU82wP2sVRH5ewDiKdBNDRAN+nlAeW0wuqXkvlkCMBGd8MXKNZsNPyIBf3RlmL2Rm/SetAFXZUA3i4nwl2/JsxvM6vj3FInIHjMGM2H4svgJ4U1gvsfxhtEiBeq4+0eWibV0JgYIJRuBYi0Fec6UpGgIk2tR78citej5QYpthOuk+5L3oSmBOk3rNG/5LAAwH7Agc0EilLioTlBR9JI+H+QdWoR9+eg1BYXzhUF1FxjqcALkG935DATIfEe3Qv0sMYtwR0PrRUPilK4cFI4ykddVm49yR2Okh08cjqcTVPcjzH+WA3cPYodJPXiUjtjf3ROSg5CfANjTFaU0m21yPwOQHMxgCoTDlrtSCQqhllkmBGcBS7KhrUoxJaHsSh34NKktHGvuw9XbGxA+QM2fa23yJ/CqW1e/7raDMQNhiexj2akuFyQRPWwG2ZXkHPjra8q8ZlOYrk97RyN5CJSK3RO2VNdDgSUTutCJ7a9z9BiYTBiIInv49PMeTTmwBrHKYbfH5EKXwn5CpAWp+vJLlKsZVZxQBM58nOLmZjOgZ1FO8iz9ZWzaD6fViHMsAEL2hA8I33oBP8qR/+UXbBCXC0bpvr2k1bA4xtnRiFr3WvbwfY64foC/X+N4/in2z+m2+YvNU/wvTlr8qn6GEA1CNPj13Rnu76e4XE1xWc9Q5T3+53/wT/EfzX+Kf7j/Lg6hwMviDv+vux+iDRn+2/wT2J9VMJEIV3REzLavCly8fEEuwmYL4xZ8b6tlcjOMkvDoXjxH3GyB1Rzx+o4wtgYXHQ6w8zk97PMMbj5DHFf8bu62NC8qy1TgjDGY/NNf87qOKobc1HXiY2RPnxBNE/OalLgp/hdBInRtVQG57LHzQY+vTpR2wvVTPLB5tgJ1R1bZAflS856yJAImbP2w3xPeLgsESc4zs4FDgBAfNa28R93FKYy15JLww0qDHRD2UvRlfRhbNvEwVpr1kIYFAIiNJ6wvKZbayJssA5p2kO7KezfO8R4WI6PYdgMac3cPhEDr5d2eYUJtC9zfk/MzmwHmyOkLRBeyb64RQ6BMeUPL5yAcJGcm9EcAG/7oHBur45HOiCdLHJ5ViecFIaibnjr4eGOAL6coHqLo4+mKBzsMuSlnxoBobyQS3UmBzVvAZ8OfowrMJMMdZeq7I8QYD4iOmTruiMQnM8GgfTww6/xRG6m1Rvht5L/VpxFZb1LWTHBUyOVbHX6FczZ5hDJ7oDkJcK1JxEV6HdC633RA2bAWKlpgfvSf/FlsF0hkAQBJT6hJSRoJHGTSVXakvhHtlGwnF1NVMJZ/Ri+Wkv7k/E+hPdFJgp+Q/ozn//M5UjBQmtbTXj+iXcoeXuGNTUzaf/35WnSBR0zOx6uMOiaYR9UE6fMBqO4pHWxnBr40CfpXYmC+I0FDGw3XUB+tcZHZka+rN4vuTJOMRH5ZYaqqqiHfRcze9Mg3PfK7A+KXr1mQRY9rsmzI6m47SnWOhNdTap4a9XQyAYv7ILqWVrQhIG53CT6MQvbTqGEjyWLhWLMbDwFqD6r7t1S7xAREp2O/2UBJaVpkNVHMFDlRAoXKVR72CMn4m7+U7Qwg2d0+ntR1/wkA2bOnPHzupYkQIlmSRz3av9r5jJOkkLDCsWahAdiMjCvUrxYo3+4Q/uqv5YfJpC8GSchp4pLY4upwV5ZJEpkklSEm29fYNMm4JxwOPFjVtfDRzjcZRYWQEvVMWSDOJoAiKF0vRZ7To1tyelNpXKzrgRPw2UfYfe8E25cZNt8O+Lf/9s/xH5/9Ob5sz7DzFX57OEdhe3w+vkJlejz4Ed42S/x48g3GtsGPyzf4Wfscf7H/CDftFL9en+Pt1RKTv6wwfR2oHKgMvTpuI07/6oDsF19/sLtHkSNcXsMuF+ivbkjcm02TH4I2bWYyHr4fbbRmE/jlGG7fwtyuUwgQrGU+vKwNgmRHMLXxmAh/uk5ADMlbX+2CESJTOOuGSFrbJgnm43vNjCqSEPM85VjYyVjQN5FtCsJmx2OulgQ9emyFCyHKstHgSGlPlmz0bm6T/W2SBWs2RpaxeZL7iQ+dT8miA2fIsBGQzA9FS9L/1+dXw4serxpAJAB5lpoAdD2zRM7OiMjdrz8IVUpGVNK4IsQPfEbsjJbP8XBMz0rUocEYoMiJ4tU1ORCnJx+gLHY8Tk3v8Q8/xu0PizScavEPQuw2no6yukLWM1ljdn3JQTW4iOrGYHwVku9MfSJT9WA4ifqchV538YjkCQAM7wlZRL5j8dV9vNZQ5QtAiISuEfK4IAQq1zPhEVlPh9OCnLPqZkC4bSv8gwrw44jyjgZczZLvb3xJTp1r+XOO50TEiy05d4pKZM2KwQPFhm+O+kSg1z19qXAIdwmQvZ+6HalhQhAiXYCoClqVCLGY5nukWF81HdLVQ8pCzlkEuzkjD6tbgVoKXgh3FPjFEmpUw4MEywgc4otBLqgyiRSnKGzOxPwPA0zTT7gryfcxNTGdGAlp7CKJe/zZ2ZGvz8bDpC/msR9BNIANhGyiA6y8Z4QBNjIRgB/2M/2I3erhLIN/kcF2FZarEYovr/mQ95LhbQyMMuQbKchy4PBwC2I5S8g+iETNFDkP4Isl3HWFcHWT9sVutSA5T9MFZXIJ2y27+OmECXpoPlQnSBDOsFfk4eavr5ONMONrWwl5GcHEgGjM8HCLf3oU212VBanRy+DLHj5gxGsQix7MYbf/gN3tTldMxhNNtB6MlJ2xsYne0wBmPOYkby2vaduh/84K8eUMxc8GfoL+0jCh+Dd/T1nlrU1oDSS7vn9/yYN8tRryAs7POWWJF0Ks2Rzovjj2nuuVpkEIEfH+Hrg0cEtO0hgZkt+yDNknHwFNm7giQUieUCg9z9BNLJ/rscfIdfiiuUBuPP77s7/El9UZ/mL/MU7cHv/T2e/wf334Piwi/qD6GptQ4f+x/X18U6/w51ev0hogHjJEC9Snlp4aPX9eVgOHZxUWX43g12u41QpxPgVu7sQR8SmyF8+4rtruYCZjxOkY5vqW4UGKJgF0XCxLmLZFtiG5s9fVizZLxpApLtNsPBzgL69oy6xhVXtGODOiNvD3jkc2p/PJMN3KiidN/8pzEW5K9B6uKmFfPSdqdXefsiq0CNrFjGu6R/eGOz+nGkAyQdKKQprquNvD5DnRm5u7gfNxfgZ/cycNS5CmFYNRl6w1AFD6KmoJf3UzIFzTCf/sfk90TCy/Y9Mg4N9sBPxmMzSTzsHMZ8gmlGjGXlYAj+KPNcnUOIe441rkg+d0t4Nzc+Czj2Bv12wg5O/bqhKb8wKuKHgv1DXNqtQUbUn/Cv/pU2xf5ehHlKgScRr2+CzQJJT3onILGQtr8SA1SgbWvho4LP2Ya4DxZYRrIo7nlrVMM2+mkQF3ykez8vA/GnqzmoU5lEiKOtuzNtLfhlA8SfdMotW03L7ia9pGJvpVZGTwgwyugtb3I/5/2wHZjaAIE8rx26VBI3G/6p0zuo7J4yCr6XabHYAs33FXoEQ/deizUvz55AGuNuin4od/ZZJzXyc+HvlB3ryQ5Fik5Yv38oZbsvQ70Q3bFojjARZX0qEJvCB+NJAfggNQgrtYIdRpp+caFv6Qc3K2nZglOAMrU343MWkCpzVjFOKGQPHHSOtgeW+ag6BqhJgN/3Q1vyQW+Sj5CBGtERLhEWhzXo+sBkKQxsnyJtXcZm2EuhGvH6IRIyYJZZJBoTkxuP/uCPZbHyE/BOS7gNG7Pez9li54IZJUpnttZ2HyEug9bNd9ON1r0MhyiugM4nZHUp0xtFNtO0KJm02aHqyYDIW6hs1z6nDzbPCuF1kUnwBONCrtCnfrQZ7UAbCOBijGws2nsMsFi/7Dhq+vpjWyu44duQToeya9WXGKK3JCphrGEulXDmFHp+nKGk5kEu5iRiOg64bdrzQUiiqEA82OUtTx2Qn6kYXtfYqQNY5RuY9RCJPnH8T42lGVbFFtVcI+OUcscvgvvh6aCGtScqDJHOJkCv/VG8S+I0R9v6YjYNslhYeaqFDeFemHsD/CX14zS+LiDPH2ntyBJ+cID5sPJuBYN+hPRyTvjYF81qINGX62e45vja/xT/bfxS/2zwAAr+sl/uH6Ozj0BRZ5jX98+A5+vnsOi4h//vZjHLYlZosjQm9R3Dg+v32UlZ/B6DLSNGjuEP6dj7D8f+5I0BuP2PDNZiQC9j1lkN/9DPtPlqjeHxB//YDsFffH4fKKf1akY1E06WYyRvbiOf/+3ZpFWvXtAB0f206ge2r3IQgXo2RzstK7nlyKCbkUmh2g92HynQfozSD6fLX5jfcPMKsF3NNz4OaezUHTQMl0djIZzLFk963/7rdb2Ok05R7YkyV9ONYPsG7Be9kw2EcbRw0CUyOwIE2hO13Bi1JH+SKqFlDo34yk6RGEz5aztLqL8trKOVDkQ9dotio5cMwmiJstsxfyIhV/OxoNaznJI4CzKY3xMepgJPXSLhewZQH/9pJI2mScDJNsjGLQxMnf7/h8h+98hPvvT3G8MMlcx7YSSS+1QpVbKlfvxZ+GRnRyTIpk3DZCnlsaIACzbwJ8YRLZz4+AfqoZAUbyaJCyZdTRNuQDMVa5a9YPsvlcLBQ0sc8XBkFI7NFIDRTYPun0dyY1ECYAdsf1eCgj3Nagn4n+0AzQflp7OyAUBs2KDUSxiWhlfe5aqusyncDbEZKVbr6njr2bDheWbEnuProJd+ZOtO8myuQrRVJhDI3TJfzBN3p4MjDpjUdKOsp3cZAQWinWDdBPMRj3yOtqtxTtMNWHTFAGJ9D8XvWY4F5H9/oqL6yR5BS2jyj2MXWC3ZRuhKHgJO6aiGJNpmU3FrOGR+gD/5vmRM3SoFxHlPcQ4wkjPgAkk+h1yfe8CfqRQXcR0ZxyFWEbA7OUhmLJ9xqKgPrcyI1lke0dJm8WqNYzjC5r5F+8h7qUhY1MuULSidaK//0OGFs+oLMpQpHB3R94IGYkNsW+T/G9Rvep1gF5DlcUZPtvt7Bd9QHs95i9nKBumfQ/+PUI8gSCTLf9B6sEdJ0Ym3SpEPMFucN1Z6cwZYn+jbCzvQeKggQszT9vxP8+y+A3GyaGnZ/TPOR+nZqG6APibk/INUTYpZi2qDbdWaIDspbSpsHOaXkctlu4Jxcw1sLf3acDzmr2+2IOI5kNsSrQn0yQb07S7jbuD7BnpzAPkQeyHLRK8Ax1LZ74S+6XJyOEXRCPB5OSAPU7s7MpGdZty3XGzS3s86fc5T45gzkege9+isNFAQ3tCsHi9X6Jb8+vcZZv8WV9httmjL96+4wgSe/w9PQB2SzgX6w/wW/uznAx3WE2qlFkPZouQ2wt3JGHkFpsRws0p9xZZoeI7ccWkx9/BvtPf5oCiUzoeD8aQxTABxQPLWzbA/M54nYL04/gnj1FuL6RYjqiT73EF/fiiummE+76H0HPAGDn0wHCNwbu7AwIntO6NIwJPQhh4GAIVG+XC9ptA4hp1+5hMjoLulM2gm61wP6zBSZtB9zeJblr3O3ZtKpHhzYCxgLRyzNj0+0fd3t4aUJTIzMaEdkSEqAXKauZzYA8pzFS25H/I9wVOmqGFEttsgz29AT7Hz+DOwaU//LXXAmJ1Xa0lkjWo9WJPq9azGPbwl/dpKYEQCJF0r8jZ5NR5IDltQoPW/nzjz5j28Hc3kOdK8PNHZvXxZwNYUML57AXcqCxcCdLuJMl+u++wvbjKpHZilo4aDLl69oZQgrsZlzHKsO+eIg4PiHBznbiaGm5qlKpd72yaXJ3TUSIBvVcBscjUvOsiIKq54oH1rFmaVL4junFvMcOuQLlrUnJtyET+L8U4h4EvYAMmqpcU1l+BPyIQ27ISPJTSX434WePThqGfjAs6iaA6Vnf9PnMaskC6KoIdzDIBdZoZya53AHSGIiWMaul0ziJ8J10YEbIEOKaVK6HD6fEOnQmHaQ6wXMXrnHC/PD9BMldz4+QZHzqkDS65l4nuke+AJOIYm0GbX8fk+xQHcsAiPlCTBdXv7joDA7nZOa7Y0xmQv2Y1yF6QXgiv+B+TIthE5F2Kwx3MIlH0azoe8AfzC5Qg49cE9GNDdoV0M4DwijAeIP8ztIe8sECFvCSuGg7g34SMHqxQ4wGVdHhfjdCvKxQ3E9Q3XwL1X3A9HWD/K++JLw5JXxsxlQMQOwz7XSCOCphN0eY3QGYjBmsYUeckvQhVY2yNSmGOCWLFQVcVfLPx8AgHMlTT66BAIz3hOvWInkSlYIRV75k1dv3dEEcjQZPgvF4CAgCoXyNTNbin9z0djtkTy6obVainjj8JW30YfC/VwllFHkjmkZ807tB/qfksE+fo15aTN80SBbJsykPr9s7cigmk+RVbkajQb7UM5TJdy3ciycAAP/0FK5uhr1o5tiYXN/Anp+RyyHpcgCoAKkq7rjzAjBHAJ7FP0TEN+9hT1YsAjHCCypilwtgOcfdH56h3HjkDx3wYond8xK7lzyM/ShiPjugdD18NPgv776HdTPC3XGMblPCdBZm0WJ9GMFHgx+fvsXnJze4KHf4Dc7wu80p+tbBNA6+iqhu+SxlB0pw988NwpJnBAJw/90RLi4/RXzzXshlJhVqAIhFjvybW/6/8YiTskTO2tWSn7Gm3A8CLduJrLlmU7k3pel0lprxBzobqeOfKTgipqChx/nPQMqSUBKpKQo2ZPfrwQdD7++8YLEMEXG7x/Qv3lKiFiJsQddCLysKzbgA2CRTEstGAuLeCUhxlOeMypUKZjb9IOpWFTCPcwYQA9cYkwmlsHdrriO08fBsuMf/zW8B60Q1kQ+7+lYc3OR51HVR2G65OhHuUDjWMJMJvwdxGNRGBXnBZ0lWCmYyYXMtqJjyk5jWeUT25EJkvTwHwvE93GJOtOd4lBVAQyTrdA4Yg4fPRjg8JXxdbAATOVjqTl9hb9tyAHys6jKeMnF3HFwr801EVNdLUbCMbgMOTyz6Csn6WtHadjaQ2BWh1fS/bsoakB3YcKi2X+ug7gp1Au8rJElg7Lh+NhCJ4JSExNFbOgQCA0fANsNqo5tx/2+C8M3isO7u5qpE48/t5khugN1EvA8Ic5tEKLDCAWC4PLuImPEPK5M9ZIA78u+oaQ7kIthOU4pigkSURxAtkD8geQcwWhSSJxAlMlHYkxFATxZm8gyQvxcN0QHYgVDXzfl7xQa0VHS8IPkO4k8g0omcB1SxDwiZpWFQHVHsFD4RTWVlUa4DfG7Qj/h3FIbJDjF9GdUtkYN2TtRAv+jRNVEUX1Gn2U3JTQg54AOdAPuPa8S7EtW7THIIBj5CtFHklhqJbND9eo4IoJ4E2NoiTD3qj3v03+vhxw3e348x+eX3MbqMWPyuQfnbK1qxbnfDHtpa4PIm6XtNlpHIdGzYhY8qupmtFmLI0dE7/JElKQsXyTu2oDWqcgRi1yI2wnY+1twRSu53OujFI8AKSc5kGYyz6K/vUxFVeVJQZn2R80C0Jv0ZeJ92lf3VDaz8LAQSuvx6zdyClBS3J6vYOTYaxpJ4Jy574VFAj10wlCfkFtZHuIMc3qL3xoHa9HA8IlvMWQzqGhZIrHC/3qYDD+9vkK+3nNIeM/+tJQqxXIhqYS+FbSIR0QXifAL/+k1yvDOZQ+w9/K1oozvKuxQJQIjovvcC21cl9k8tNp9aTL/JmHomaWJ+FNE/b/B8vsGmqbDvLjDJW9weJrj97QmKDZ0Ae5vjEAysDfjpzQucjA7ITEDd5yjLDqvZAZf7E7qRzQ2qm8FFTQ/fHlz9HS8MXv8Pn+LFf1HA/+UvBwXJiK5ydndA//oN0ZeLM4YblSXw3ecwmwPXO/MZw2vEtx5J3upgQkB/d084/3RFNORYI3v6hATSrpV1WJdCmRh6JXwQgdJtkXNdBfD/ic9/csETPwwzqpIMV7kudrlA9vwp+rfvYa1F9uI5+rfvxAFvwuZ2QTMjNA3XOY+SM5M/ADDEGlv7QRjP47wPLcpKkLOzKeW7AO8zeY5i6Hl/HQ4k2+WD50dajWnxF5dKFHmy4Y3b3eCcqQ1qjDCuQgxR3CodMFkCW4ZPhd2O9stdD1UR2LIkWVVQrtSUd23iRmjYEooc5vkT9IsR7n8wRTc2IsET6/gtz0VABs/7yJqU0YlPE/0SofsmovMiFxcOWnREVn1OxVc/MjicW1rqbge1Fgl1A2rtc57T5RrCfeEUzwLPqTy7Z22pT4WvBtas7CBugtOIbGcQK6rcMEJK8NO03eaEqHu7AkzHVXGK3u4oE1Svnn4ExJxIhJoTuSPSuhqBdVQDiLIjkCEOFoIAP1x25AfWDiNm3I0E9QqAwBMNkvY/E52/LzGYg0Cm3Sn/fnXLQgxwN6FEOdvwC+jH0jl1j60NCa1HQSX6iRl89qVDs70R9j/dj2xLf2a9KEw7NLQIDmrA42C7KCoHg3ZOu2DXifpgF5IRUHbgTdWPBSoSiZMV1qntI7WjJT+XZga4IzB5F9AseEOkbtQDxYNBeFvBTwL8KKJdUT7oDkx8KtdmWKMYpM+Vbw26xrGru8+EPFngcFoB04Dzv/8Go6zDL988weKfvsLqV09Q/eqS3b1KduTwik3DnbaX9LBId0G3Wshh1MFUlUxKhOPthAl7KQBoOoGJUVjPNsnX1HDH5RlfT3MADgf+PXH4Sjp+YUiHpqFRTD5Y35osJznIOernPdPKbFUN7H+xO9U4VJM/cvtLVsKWRjpy6MW+JzGvqjjhtR0h5mw2NC9GvL077kaj98DdPcxyQZvfhw3XChUd3/x6DawfYKYTErzUXW63h2kaSrp0lz+dAIej7PS7gTku02L2ySsWsS9fkzmfZei/ec3AnrJIjo2akKhEzvbv/QiXf8KGr51HuJZQp20jmhUPgObCoyh73Nc8HYN36J3F/cMknQX51iBkFrHPsbcR22YC8zzi89k1/vLqGZ7Ot+i8Q75o0B1HyA4mBWv5is18sQUOz2KSDccMWP9oiWX4Lsy7q4GFX1MjjhhJ8jQG7uIcmHNdFdebBLn73R4Ink6Akwms5CnEjuRVDSAy6kZZ1/wZOb0FiDzQCCd2LVn1ZZkKY7i+oeR0teR9K01F2O3S3v1xiiQAGtg4h7B+oM/DH/8A5n6PuNklLwi99xHWQzHXQCNVwjz+dX6Kw+eniM5g+vMK4Ysv2eBak3I37KhKkk8ASQac1lxdm5poL1I/SMNtphOEB8aPmwndCuVmoEulJZIYdnuiGuMxVUFqgpUPWQUmq0hUXVXkCdytOeHHmNCL2PVC6Dt+QOK1C0qZcbKAqWuu1s7P4T99isOLMY4nNim7fIWkabcdh6+Y8b9NBKqbgP0zh24mBbAF3IaFrznhcKlk6yiF0PYMn/OFQbMSSbnw4rI9EYZuKrdMGJoBzRZIvLlOOGAH1q/mhOc2DNEA9crpJqyrWjdpGYzEO2tHbKhcbZIpEcnkrDcQ1ZyrST7XNbuvIvK9SUi8CXwfuhZAGGq8ET+CTCdPxEHHrnC6s8DkrToSAYXA7/1oYPCrtA6QyTgb4ImELogmsZsBgEmQfCiAwzPGidouMmREkvo0jdB4IQz2kaMECLPE7EMkodiAk1vDD9gskZKbAKIaoeOUrvDP6EZQh2J4P7yzgf1Ti/GV2JrOZM8izk7dlMz/yZXHceXQrEQB0BF6Uo1mOzPYP7VMkzPy0kHkikeBnKJFd9oDwSBaC9ca5DsyUZvTgHxnYHqD7MAbNuRspNoZbyLXCOdhZ5HtLd5dPUc3i/jk996i+R9n+OKLMyx/9hEWX3YY//IG0VpgVAI39wnaD3UNOxnxAfUe/p7Qu61E6hQj/QAWc2q5NWK1o7Wuso2pR7awyzM+rNfXhDQnBZLHd4xA9DCuTLtQnXYHIiH/P4QoZsoC4WHLw64sJdSlk/RDaTRlt6tqiOSd7yhFZLSsQTxSAqmBRmG3ZxDP4UCS37GmRns+A2JEWzqU2wh7v0WvhkNPLtA/XSKzFnjYsIC3HWLXpaIfD0euX450Z7STCezJCt3LU8AA5p/9FP5ujezZE/oR5BmcGCu58zMWfmuA5Zza/esbTniCisT7e7izU1ggmcK4738bu++ucPfdjHrgo0FW85kIDuiXXEsdn0W4eYuy7LAoa7zfzrDZjmFMhN9nKB8s+onAwRnv3eyrCu2zDpdXC/zn73+MH376Fut6hLvdmN4Bo4B+ZFGfGCy+7LH+LEsrv/LWJFMw74DbHxn05QpnPwHCv/5rYLeDuzhnITJMeYy397xXNju4tktsfyX12XJCZEqVKLJHt9MJokyPkMk6raqyDObsFNhs2XjIVOo3O9hRD1Ql0LSwZ6fwT1ew+wa4e6CE1RKm18k0Hmsia+MxUOTIVks2glmG9uUJNp9WmL4ukP1XvwNiZBrkbALTdInPAGBoiNX+tsiH2N26xeYTRoibcI7xdo+43Q7/35IUq66hj90pGSMsqJU0Nym90wcYYxNnJuz2sMai/4PPkb9/gP/tV0TR4JIfh51MaPt7c5OitZXPo1a/piyAzZ58o65LAUt2NoO6LCpyArlvVemBvmfjPxnDPLvA9kdnOJ5YdBOisho97ysp0MI38SNOz7aTIl4S/Y0WKHYYHG49g3m82LvbDV+TSrcBqYZwyxQ213UzgORJEwTlVQVZyEUe2AHNKZJcXT39GZUN9OeE61kfWEd7QSm0qWH2DetN8swRuaEv+fq2QTKUU8O94JBqhJOmQgdOP46pRvsyIo48smmHLPfI6lMSCvIdi2i+BUIxeAW3c5Pgf00DCzm7m2wvRIfISV9jczVJUM2EkpxPmPGEtJEkFSRVmCQpVGIgDOUXas6jqWNKdtBAISdMUBOJUoR8CFXwFeGT4p67neAMrI/wkSxP2xHy9RUJS9EBfcm9pS+IZGiiYHaIcF1Mh9n+wiV7RTVyQDSJ9KF60HZBaNR1Ec3c0q44lxu3Nzj4DO1Fj1gEhNygOQtwe0sLxwzwCw+3s8iOJiEsvoo0R2wJ57qDEdIib659W+CzxS3e758g5MD2RYaQnWP6mweYzR4QKY8pCk7wotN3JytK+uA+IPrB+2FKPlmSfLfbwxRVgklj03Cq+OQp3DsSr2LbpoCXx9pkM5nAivNZrGuSsR79MmJXTLJUTLt0/WVns8Sczp4+4UrieESK3BXmtZ1OoMEkyeVMkwIFIuV/RJIMVyuSnR4ukb14Dl9alOsecX+gp4EQrOyhJbku+CFVrsi5H92QbW/kdXVKbD85x/XfGuHpP9swOyRnjgAVDGSpmzzj9zIekXRWt4MmfjEH2hY4HLkyEDSt/+Gn6KYZds9zNCe8tyZv7AfaYo0y9SOgW/X4+GyNxjv84nfPYWyEucvhqwATDPqx7KNzIN/YwSW0pjzGRODnXz9D3GcoT48Yjxt0uUfTjVFsHA6nLgWQdFOZXoT7kx34XG2+BYyv55i8OWHx6z2z3UUDz6CiMdPj+h5uPpfrYBHaFrEoyAuYz8iOv7lPhjlGwo40gtfOZpTB3q8Rbm7FutkidkBsGqIrzjFzo+vhnIW7pZyv/c4L+N97heK2hv3mPXkuWxI1rXAzTKSMVDMC6rMC9YlBdsywfPmCahVrEbd7EviM4ZqoEdOb6JP0NfZmWGNttzj9eY1mlaOdOZTfegb384Z5GQC5B/sDlT55/oENMIRhr9p9WEqGNUhJUTArOQv+/h75LyybA+d4f1oD5CUzNc4WMOsdCa5dP6BqwPDPrkO4vRPukKWG/+kpzLFF+Or14OaYZbweNddy+nrh48+xf/kU+6curXyDqLmirJ4VgVbzGyW6ZUcDH8S1diQoNrgqMIF1jYguJ33juWLVEDkYIleYmqT00hwANZRTx0HjpU5mSCo4CPlw8iaiXZjkE+BLQXZbFmglsqs9vC/4d90Rgw1/zbqlNY71lJwGLfhWPrdaD2stVL5DdKyvAOBnAZPnW7xYPOD2MIGzASEaHNsc5nv/pz+L+W74cFYMgXSiVSJgN5GHuAH2L5mYV95xujCRO76QAbuXhmx8OxwA/ZheA+UDxABH9O7Cyjw8Y9EMAk140U+qY5KrB2mcavGVEalWvdGyKNrWoFzLWuIQpbNjFwnDhkY/p+1jMuNpFzJJ1nxvraBS2uUVW+530vszbCTKh4h6aQj9y2sy0dAMhD8JM8q31GgCSFwGkhpJJuxmEX7ZA94gXzu4o0Fz6jmBbUkMNHID9JOImAcUt47d5DSiW3jMnm3xg/NLfPlwgvs/P0d5ZzC+DKhPLLopv6fJZcD0iy1lhG1H/fjfYOxrMl/KBlCN/XaXDGyU0Zz4Bc4h/uAzuKs1/dZlv+/OToGqRNwfEe7vxd2wAOWLZbIpTjIp2ce61Yqe8aJtVmIeAE4hLUOEYojInj9FOJnBXt2TQS+QbJL9xZgQB2PNkGlgDP3cxZgnSfnASR9nK2J/N2tKsyYjGGXf397T8lT8A/jGjKANTBS0k3Hyhu+/8xKhcMh/8mtmFGgAividm7EsKzXeNQQay6glbpbx2o/HMKcrhNkIh4/nuP92lpr0bsqGfvyOnJdmKdamsjM8PI1Y/egGdw8TmG9G8JMAeCFLTT3QG2Q7R9+PA5uBMO9RvinQPO+ALCC/LBAyPtPtmUc2b1GNWuwup1j8LIO6Yqq/R8wki70RCNMC5W1MSWnP/tED8Fe/oVxxNmYgkGjhY9fx3ydjckO6jijPZMJ8BrX2BSjpA+DfXqb7KhzrFEzF/+lpWStcDEV8TFWmLAd3cc4/V5Y4/Og52kWG2Rc72G+u6BGw20Nd/2LbDtbT8l2aIqc8s+uB7R7x/ARhWiB7v0b/5dd8r+r0mOWD1K8nApfMfVSuOhqh/4PPcXxSYPEv36H/+g0QA9xizuuw3aV7DyHyWW671JTAWLjp5AMfjGRAJY6eikAYa0hk3bNBUF+R+NFTmH2N8NUbKfpdSgsN+0NCA9x8zmdA0EQ1E6MSwn7g+48QYM9O4M8X2Hw+xf6JTUWsm7J46mTcLT3gIszRIY48TOkRvUV2nWP83iTDOlVc2Y7mPK5hcdXzH3EYJE1PNNaXGHJg9jGFvAU51nwhK92a7yXf0gPGFybx25S7pSixiWx29885MI4uTSIFqj9MN+dZnm+4UmgFrtdAIJ3akwthw+eomwWMrmzilGUHJNa/9US/688bLFZ7jMsWdZehyDxiNLi+myE+FIA0UuYH//s/i/0IiI7VtNjwouyfcRed70wiPqjZgToF+kJ2LMeIZmVIwrAigfAs6N2M5IjqeoBS8k2UL5pQR7PkhdVABoW3OTGYtO/oZtyJFBuktUCz5BenHZvqIYsHYHwT0FcG9Yl8USMk1yddfWTHyOIuF7qVNEI2FJJzfozwuUmWx/me70c1m92UDYNrxIhhQX+EfIeEFuSbmIgpfUUN6mP3GDWIIKExwJ+wETBHi3xryQ0YRXFj5L/TryAmG2R2fuQoVG+dkFiGJs52A2nTNUB5H5DVEeN3NfK3wkqvJaBGDhENBgq7PbXt6jw4JdtYk7zoJ35BCedXbx6Fnfybu02TZVwnSKFECEnbnZwGFb4UOD8Kmcg4+yEyIb/cD7+Lu7+1wviqR/UvfiuGLBaUMfG13HLBxDVQNqaNSDgchujSLEsuZGY2o3qgov+4mpbYyZia8bpOEKlbrYgyPEYfSvGLr+uhkbEuMdXjfs/ApmMNf30L9cZHQWfBsD9wFQEQXi7LxCp33/sWbv/4FLsXRjS9gC+ieEwID0aQqPxA44/mLKL4zgajosPN6yWyNZvHbhYQVh3MPoPpuHIq73gARiu+GlVEu/KorjKSiUacbPwoop8GTF5uUwPgGnJ0Qs4MDi99TXAcBoqtSeqedhEx/x3w5D/9a+5+nzIsCV606iVJkOZhh/7dJdx8StjYGMTpGFhv2RAs5girKez1moZBsykRgO3ug2RKI2lypqoAZ8mWVx96aQZNWbDZqIhQmd0hRThb8QQwkzEbtc1WyJo5kpsdwCIozw+sQ3bBtVisa2guhCIGMcZElANYnO1s+m/4Y3R/9G3YxiP7xZd8HjUfQ2x3OUnT8VKVNlEaAf7MbmjWAcoIO/EHEYvvDyK9haPz3/n8LhckZGaODZs0VKr9R9/T70MMr8x4xLVL38PMp4iTEQ6fLNBNHY6nhgqqAByfRPQLD9MZIJgkjQsF7zeACKcvItqXLdA4lJcZqttB8hYt60nxAJR3MUnHQzagpKoKUNM2ncrzLetfszRC2IuCOps0dGqdU3fXx1A/MwDIRSseWLBVsaaOtslGXgblx7r/NNSCKIYSGYFh2PUVlXNqxqeS+OOTgFh52HGPi7MN5kWDd9sZDocSfpvD7h1X6nlEqAJXy5o8REtDFvLjuUEo6Pyn+eBa8FVDGLKB2e9LTqDFlu/cyvQdciM7DJOmgpCRhKfkB435bU558XpH+N4EHkApsCEf/Je7GQQKEQck4STkO+kAZcpohKiX72ilqH+nmw2MTl8amHVEue5Rn2ZsSgyRgawOCVqJMwmREOJFOzeJdQqQT9DOeO1Uj9qsyDzN90MyYLaPZHxaJLvUfC+WjiUbo/LWIuwKtPPAaX8c0U8iwqJDVno0nQV2OcyixXjSoPnFAuX9QBpUxinzrPmd6o1qW0iXGVGfWAYRvZhg8n6E6dcHZO/uyXBvAbOYwc2nRAgsE/3c86eIa2aaQyYMkxcsVIcj4elRhZhnUFnR3yzYmr6XXAXFLx3iww4gOekZMUFBnsMovPk3fxkDc7tGdTeHbQMJeGWR7G+H8JGGn6clIqDNhh1V8G2bmNQmRpjZjKzmj18QhpfgmeziDHE6Rtzuk+sagA/sTplxIEFFN7eEmfOc/ArJcbBPLwjpx0geheQlQCxmvTRecToG3l1Bg49gDPAnP8Tbf2uK+jymrt82vD+bVZQQkYHY1I1Z/PtnDbr1CMeHGYqdFPgsYvzWot+UCHmEr0ga1AOnm8bBfrux6McxZWuYAFQ3BofcoOscTOXRj6loGd3IWXIRYb1hUNBSDjtF+mRy6iYG1/+T7+HsXz0g/PUX/NkxipudhdmSxJa9es776eZu0J1nDqGOdLg8SrESFnlYTeGuc/SX1wPTfDwCfED/+k2a9l1ZwN/c8ruvKsrWRiOYI+VrKHKS0hTeNpZOeIcjTbSiIFlVBTOb8P/t9rCnJ8M90QkBNy/YYBiiUB8YaIGNJJxN2QJmRAMihIBs26A5GyGfzfh7MSC2PhH6qIrZ0URHkwk1n0CVAU3LnyXTPX+vQXhkqw1gUGiU5YC0icMlrKG+v2kpUbUGZj4DdjtKEwU14HdUwMyn1Ps/XaE5H+NwkWH3wqA+Z+Nps4DoLWIwQGfgdg4IBvneJMhdEVa997KDQbdnM5rveK4GkfOpWs3VUaJ0ZY0sabP92KRAuW5mhMA31Ld+RBl4OxuyBawMkH3JWqI8tvJeEOMCg417y9Wt1im359mrZnAJsS4HXwErJHFNF+xmw/qhH8ekyqFnDhvoIEP54aVH9XSPZ1OenYemwPX9DO83pzAjGaQ6C9tKOJs3QKDXgfn+/+HPosL+SgSEGaZs9fzXruTxFIoANGe8cW0jLy6dFXX7os8Ucl0/YeeSbBnziPL+ESlQ3Ai1K9MpIReYvq8Gop5txcwn5yGlxBDXGGQ7rgwUslFIpZ0TcaD/s+gmw/AzswNtGVXKp2zQXGChaJHWACaQVaqrDj3Qsh0S0/NxBkF2jDSJWFj5PRJSoOSMYiCPqNGEFvKQA/V5wOLze/TBYnvJxao9WlRXNiEN/ZjdYfFAVUPII7KjSc6MSQM64+fQ1Ktuwn93NdcD5brj574/8lANgalqmy0nnxARRyVwfZegajMlpBgfNizWjwo3QhjMfpz7UPake/oQk1e8ZggwEnQnoUUR/10ZAQC4mwdYkH/wOZonY4z/8g36N2+5uhB41+QF7McvgLKAuV2jv7r54DVNXsA9vRDp5BbZJx+he75C9vMvh3CismSDIwiFyskQQ3qPCq/CWpiXT4G7h4HjYMl/iIsp962izIgb8Yk/MA7aVCXZ8LLXVotZ+8Pv4v2/d4LjBcQ4iveqrqrUBlufE1WdHJ8EmOc1zNcjFGt1yuR0745siHevOOmV9yo9EkRhywaymwdkOwsTgHYRUGwsTM8zIBQByCOqNzmWv6KT2vYjohPqz6GDA4CkV9b3rQfi03/eoPxXX8CrymO1hEr3EKlkiZp8FyK14vMpTN0gHmpKPcUUyz87g3t/m7wRjPBEQtOQ6zKdAL1H3HM3b8dj4Nsfo5+VcPsO7nrNif2URRlXt1xHiExV7abVYyBIFG6Ky360TlJ9PsDJGh1Jo1GJcRJ0o7kE+qwMuRU53Mtn2H/vArDA+MsNcCU+Bj4kpE5XefFhwyYX4Os5x4yLR4VeXSs/iCcG2FBneQrpUsVDWqFJbgZlmAPZEEWO8LBloyWGXShytC9PsP68wvYTg/i9HZwLCMHA9w7+uqIiKpM9vqxxs+MAgWtd0kRZAKjPIvyrGrgpUdzbVDwBHRg5WFU3UWJxh3NdSXI6vCWFVsF7MN/iAwtf17CZ9QVj3l1Dzpcvkdj9jAKOyZhH02WtvF9dp6edvRkQAc0o+OD3/PCMaEQwDJ93tdWvzyO6jxpM50ecTg54v56j3pRAZ+F2FsbzesY8wIw9ojfIbnJkR4N+xJV2ZvvhTcYMKYe4nUkhLoB2GRCqCGr9CSF0Z15asQB0FiY49CP5Qa2F6Sz8GKifRsBF2INDcWelGPIDa0FO3Ziw+5XgQWc/DP78wSD0Q4PRjYGYA7YzyXEpqwHjpRsso8gTY5JYdFOF9ZEsGoeLb1A+8IZRswlO8kQPsj1gwI4v30WU94RWkyVkC072sg7ODhAyBhEMlbKUdxFZE9Ep3GMlbGjEDISY8e/qa2ZHIJQW3T8+Rb6LKJ4jpU5xIqP7oGuGlCeSOQ0er2304QDYyPUSU6xe1t3M4GHsmLplANtWyHcRy982KC53QHlC4lGV85A4WzGpa3dILHsNRzHTCeyzJyxoB5rYqH7daFBR23Hq3+3TxAA56INM1HY8hj075WHZdkOgjRjmcCrJBb4FzLsbVPGUZkdVNXANyhLu6QXidg/c3CFKImI63LqWRMN370Gd9Qwxz+AOHcxkAmeYTx67HphxVaAe7yYvGELj/WDOUlUIT07QzUq4SQn3/h5xVMKvJojOwh1aWGFM615UeRf6ntUqlcqGAvjxt7H+7oySIUvipwnDaivf8/7S+69dRRT3vI9hgPi2okJnTDg1WjagfiTNREeoVdd4wQ17/H4SUd5aHhoHwHiL44se+dqhvLFkP9sAX0ZsPrbI92wqD0+HNWK+58S0/ZgHUHaQ0CwDtEsenuvPC9iPv4flb2pkv3lHKaoYUgEOGDlO+3k+WOqGgGQXLYS32HWw+xqIMa1i/NUN7KiCG40AY+DPF7DbGkG+x3A8wr29QX6ygDnw982r59j+8BTjt0fYL7j7N2Ux2DKL7FDvAy3+bj6nmkEKsZGVGgtpR1loVXLCvr9HNIZkVmsRbu/oj48uNaixa9H/7itMQkD9rQuY3YGyvqJAqMnIj8YwNXE6EfSMiBqNiShRVIe+9EuIlcYNIWMpzljDt2ZTrgMVsdBnRtQEMT4KJAJXBPHFBe5+tMDt7xuYVwcAB3QPJbAvYA4O+b1FuRfeU8ni308i8Kgh7CZsUFWWGnKpR6uA4sUevskwfmtR3oppm6y71H/FF8M5rnL1fEuEq1mY5FTrmohoKC+PGd1eXT0MfaYfvFyC8gUsJba2Y7NsRdqtiDFkZx9ywAsxj8mB5M5kwm8Llu8zOv4cI1+NkYEtigMgnznyBo4TDuH+osV42iB3Hnf7MerbEbKNS6RAXwKwEba2MAebUmvbRRB03yDTDkOZhbbhh21WjCT004CYRZjWEJavBBbfZ5QdWJBIBMC2lkzhMiI7qWFdQHvMEfcZYh7RroLE5VpUN3Qe9KVolLuhYGoHx84tUhq3h+wkH00S0jG5lodVu4oIe4NioyYQBu4hpBvCtvLZTphlYFv+fnbkuqJd0r4UkCl8hJTxzLyCmPwNSPKLSQ4JIFkWa1hDP1EoSjwSRMPaLgzCnjfN8SnVD9EKtCMwD8kpw0GsMhM6rXFFaqJBX0V0c/oQMFGRD4DKI/sR0C1409mGQUvVjUG2N+jmIp+EeGXLz6FtpSRbOYPbH1aIv1cx1GkHVHcB5dpj9DbC3m0/mLDQdXCnKyloIidcLjhB1Q13urtdsgFGDGnXaKYTOCEQ2bMThLs1HciMkJtEw22KAma1oAtY3QBVifD+Kq0aXNfR7jhG+gUInNl//Zo7UNFrA0jJif6+Hf57uaBJyYEyQ39zy52sRs3mOfzNHZuT1ZIrDZ3SrYPf7KBHbD/JYEKEyxzM7oDMB8QyT/CyqgZUY64eC3Y6TU0ByhLmkxd4/6eLAVmyj1ZeLZB1QyR2PxZ07dZg/J4wqEKqtNeOsr6jjLQfE5krNlxJ0dUsprCT+oLFWR082wUPufLaAVFItQ3v3W7l4SsL+8aiuiXptZ8wx5xyYlHVePG12DM9U0m/9Rnv3fpsBPMnn2H52x6zn7xFXD+wUC0XiDlje01Vcvr0AWExAZZT2DfX8NfXtH/2HlguEM9WQCOoioRW2dkM7m6HWBWwH73gd3FkcxnBCdpUJXY/PMNxZTF+TZgfecFpermgaU1RwM7n8Dc3EpctRDdr4K+uk0Mkqgpht0lck6Svl2bTivV0rJvkjx8PNfz1tVQETuVoO2SHDmExgd3MOMWLFz/ynCZG2mgc91xrSQKn3t+M8SVSoZLBhGiFCHX3s6PRcM1kPYayZIRyjLDOkqchK4U4KoFXF1h/Z4LLf9fj7/345/jV/QXuf3IOEwzGclaGgvddNIBtDbqFB2CpCHNDsUz6dQFEYiZywFmPrs2Qf1EBkWd2cMDkbUxTvKKaSe++5/mrZ6qv+LI0rhtWB9GK7DAz9F/ppPAL4U5XEFy3yt+LSJbwJgKm1c85INVq11vdSO7AnEitNiEK/cecKHK70MEOKYFXOQrHJ4D9eI9p1WK7G2F/JciSN/CjwHWJXDMlj/fTAHigvLfS/LMWZMoetjWSbj4UBu0qop97LicknMe2RuwVDfKNTbtBfyRrWD9IbwF/OYIo+WheswgIFR3s+rMOu5lF/uDYiahvgED6mt6kX7xC7N2E0/BjpQLkS0TgWsL4AdIHgMNTm7SWmZhA8JDkl+dLfBDioMEMo+thWrYtU/9sN+iZ2ayYxPbspwNUQ6//gQfhKx6a+kU2S0i0MIt7P+Xk302GZCsvRkkqZ6lPByhVpSI0URqQiuP5AB81K37O8aVBuRYORsX3rB2nO8qUJzcvgDQtulYVHoSKvGQgdFOI3tti/fkKxWYJmFcodoGa7/sO+bqG3RxgDkdgOuYhLb7fcJYGK5stTOF5gOQ5A0Du1nQIXC44nRU5TC8T0MMm7SIBIFxekxk+HiGuHz6IBva3d7CCFJhciFzOwYzH5B6IYRFiSKQtt1zQ1Ge/JzO8KoGyYDH+6AXM7kBP/hgZTxsDd/y33Ecntn8MMKslYpHDfP0e41vKLUPfc0o61sDDhqEyL5/B7Cj5M0dK+0w/gb+5TRasZjzC5k9eYfec0qh2xcm/H8eBS2MGroyu2UZX/L42nxo036pxerrD3W9OYGsiTTABo/duYBrLPtG2nMpggH4WUdxZBBfRTSKak4jyxia1gROiYb5X4y6HbuHTAW49DzMlvmpTmr6nEc8a3otymPphAowOuP1+hs1HH2H56w6Tv75C93QJt29g77a4+e99hPrE4Pl/fQ/85msSLff7QSL67ALt2RTFm3sWtQkNeYyS87ZbXvPpBHF/RH99Td7BbMxQmosVQmYwe9Mju94gOker6dEoGV3FrqcMT+SnbrXivVOVMP6OBVrQivTLcH3Bw8VwHbDbsbkAAGeY5ijkv7DdshiPGeGdXT6g+fgURX8Oc7uGm02pBAgB6Lia0PvejkYk3PZMMDRdD3uyTA2rndKDwy2EvS9mXRGAG1WIiq4ARDKk2NtRBawWbJrGFQ7fe4L6JEOzlBAd12PdjtF0GbqTgOgiiX0RKNZEkpTfVNwSB9f7CmOpNY5NqhGTtzDxyGctcMyR/3KE6m5QmwAK4QvCe+BK03ogdMp9ks9hkQLqIAq2NMiF4cxmsBwAQX3dkQgDZP0bBDHX9UG+F2J8zWfwOI/oJ0i+OsEMUL6ryU+Lsmo2BinYKGZ0+FOZofK6bA/sPo7oTzqsRh9yoUxnkG0tHQRLDreKYPQjBh6FPMILty87yLpcOwWAb6ZZkoHfL3ogjzB7B3dgd2YC0C4t9/0ih2PBjUNyYA/kD5Ze/hWbimgjxm8cuhk7tJgF2NKjywNCnqG65imk8cLRRRgxuCkeWGSPZyZN4gq5a6hPylt2Q5FUDwDbclI6Po3iPjh498eMf1/lFMYD1Q1gej6coTISUWwSUzTksgdqyRTVXVN5z4tsIgkp/cQwnjMjquIerRxCEREbdpXlA4QHQavUVogjmTY8NWGr8p4TVHMi0FLGm45+2I+IkQIdwQLuQJ4G1ytytggfQlGTxzbN0XFaHF3zWh2fxjSpaXdb3REF6Wb0d/AV0ZDjmRPWt4VrSoR8geOFQXkPTN5Tyjh638CECNsF2Ps139BynnaI7ukFmdeHGu7NDc1vlFugUi9FGsYjQv/ek7DVdh80AWG/T25jiag4HdjV4fJquPHbNk09se8pC3v+hFPm/oi4mCKu5jB1S3lj2yJ7cgEvWejWObKgO3r/Z9Mp4nxM1dFeSI0q8wIAK+uH23tA1hQmy0gUU8c174Fvf4y7Hy5wuLC0Pt0Ak28M6lNg/MYiq4H6DB/kWtiG3183YwhVtgOaXY6HssKrH7zHpi7R9hmaOkfdVwhVgDtatCW/65DzoEUwsLUlRDvxsI2F6SUR1AL9skfvIuJlnpQ+fhxgOh5AzQlXCZO3ZNe3c/JRFErVjBDXSHOQEc3wFWVR+Y6wbDfnZ3v4NMf9d17woN2NUT4sUZ/wM/bLCrnC2iHAzKbI5jNKdTuP6Bh0kzz3SwunPhh5jviwBZxlJPNyhjDKsf3RJxhdtZj+dgd7aICup2lW2yFbLqR2C5xelkmb7x82wD3DdzTG2IiaAacr9F9+TU/8izNYa+A3O8TgU6SuyTK4Z0/JljeGPvnGAMaQD9O25MfEE4RJCbcv03MRrm+G58RZxD48mvRd8rgwowpGlCwwBk5it1HRfAsHfYgi71tZlxltNAQ58NMR6u+cops47F7YgcdUA8u/KPDL95+yuJUR5rzFaNwiBIM6Tqn4qg1iFtGeBIzeOg50VjayceCeNCcByCLQG4Q3I5QHg9nXjJwOuU2rKl+alDrrWhZyE+IH56Uq2oKoBEJBMnZwEL5YHOx+S5P09yTmRdQXQHVNQ7l2btJzFwqkzACNdC/uxb12zF3vYPMOxIKJseSrDWitmuv5gmta1kN6G/gioj9vMZ7XaPsMh22JeMjYQAF0i+2JTISSNTD5GQRDY7CDERm5NB4//N/9WVRYo10A7Qkf/vLefkAeS6SJwM5eX/zwjNNCdWPSeeqL4aIoJK5BDdHQ4S4WJCcgi8huczLs5cYLogRQ0p9O+8xDZldWrIefl+9j0vFr8VdugwmE/NMX/4iYUWxZrNsFSXPlPeHt+tQOAQ4Y1hIaslCuB62nmjRMLgNCZrB7bmnRKKloruH/DzknfJUO5ts4mCwJVKJ7f+2O8x1tkNu5EE7kMz3Wh+Y7OVBFX6pd7eMADG2atPssNvyc7dSgPjfDmqJhN9yPDHavOOGZfvB1SD4RAalR6WbUpcaTDrGzqJY1Pjq5x6yo0YYMTyruR7d9iU1b4Xo/xcOugn87xvw3FuVDgPXA5F0D0xN6K375luElz04RnYO7IywO0RYzu+AoHAI6x8EHwHvEuuEhrN7j83mCUXUvixjRv34zwJ9Nk/TLCJGQu8CbcbPl33EW/vVbuvTJxGfGY0LFq0UynlFEgylnt1x/jCqgbtBfXsOdn9LcRrkMTy9YgGIAzkhmbD4+we5FgW4M+BGbuOSEVg4IWLtiN++LwcxL89HbOYmjaj6CaNCeemQ7i8k3RvTEXK9lO+7go2Mz2o/ZtPbjiG4RkG8t8g0PoW7C+8I2KkuN8Ccd8hGF2L63CHWG/CbD5Bt6ZRwvSPTNt7y39i/5movfRhyeGDQnRMA0QGz6JqBZWByec9oqNjKxtIzebk4YxtWPuMozASg3Ecv/9q18D4HQdQhEXCQe2kxGiPsjEaIih/n0FWKRkeh6ew8zHqN7eUprbB+4InCWoVkAyYYNm0AzGpHg2fWUCb6/ZDFdLgcli8roPLMpNMApHA4w3/4Udr1FuF8D1nISv19TerrfI9RNMs4xRZ4SDbNnTxFnEzYy1gI3d/S6iBH+6iatyOxkzGdI4fr5nJLWnCmCscyBq1vKIkcVyZV1TYRM1wjihYAYKBl0FmE+Rnc6xu55gWZJk6h8P0TD205VV+QUKYu/H/O+9SVweNkDI4/xvMbhYQSzzVDdWBa4WUQoAkw0cHuLkEWB2A1Gl0QyySfhqlMHovH7CBMYd+tHBu7Iwk2CLO8VXw1noSbS5ls2He4YAcv9P5sPCXu7MCjkTITlIDW6ignl8iVXx2oO1KykeZEmFgaoT4wU6OFMVvK5nqn1GZI//2MCvCLZIZe1wEcHfPbkBr9+cwHclsKZoHssAlcIWvT7MV19k8Ot1LLigbW1W0SxAlb2fQu4g4WfBviKoTimNwma4Zs16B8xjBXGULe+5pSdimsGdr8SGELBlYBrDNAY2M6iedqjn3tEQ+x9/I4EPt1txmzYpdgeKZZYIet+wmlHM5CV9MZMA7kRW0EighZk3pDtDAI5iAviPia9J6GdmJwA3VFgnh2LqBI8COEY7J465If4wYRjejZMxgOupyrBl9LVLo3IJZFiiSnbGr50lV4qTKTuTykzoefnci0jK/mlD3AwDFceGnmZHfl73RQwQTpngXFJ7uLnbVaghWyLZOZEZIPNDG8wg/0fH7GY75G7gM2hQvu7GWpXYva0xk9+/QnKbwr85UUPVB7GAN96dYUQgfPlDt/75Asc/3aOZXHEVT3F+/0cPhq8f7dC+fozFGsGfxTbiOpujNHXD4i5g90caPs6HQHvb5Km2Gz2iIEHv20rapqb5sNIYkuSVFRGvnNEGGbTR7GlVLPE2QTx/TWL+mwMc2ySH4LuoiHZ8f6bt0leiLYDJjaRv2Lfk6EeAjMR+h5mOgXOTmCajnLJZ+fozie4+T0K5m0bk3lVvhMGcinPlURy1+cR0ak22tD6t7HIjkB9Ls9kz3Wd7WTN9EC2dH3KQy/fmsQjqG74vXs5QOibEeEOhBXpfUHGv6upPMn3hHvDpoRtS3TziFwY3N00ojklouaOigRKVHBGT4HDE5dMUoDBs2L3kvdmth/uabJNDaIVdC6T6WqkjYmB+aNnmHxzgPnpr2Cd5XSv36laA1uJHt7tgatb2MUcfjGBa6cI769g372nde6Lp7xHbtecjLMMcVwCOTXw8GH4/qoyyePwSHOv/IB4OMDNyOnAqGJ08Xor96QlOlAWMB+9QJiPYNoe2fbIhrdpeYDpAd51wNUNi74Ecvn3l6Dl9YrQftOg326TAsYYC39zA8RIhUrbwvQ9cLLkdbi9JzpSUL1jqoryvsUUfl7BVxm2r0r6lKg0bUK78nLN865dkHMCIU1rgJsqjRTCDjkw+SqD8Rnq8wLlpzusnt3j5nyGGA1iZ4HGwt07xJznd3FvE+Ksv7qpScOlUW7K0iZnv+ZEjNgE7eU9g6R2U7OghJwapsGWDzERxZU0qE6a+Y7Fn39PuC+tNMsTqZdhIN3WpyaZ+ADDIA0gDYMmDjweE0hsz2rAhoHMW93KsPisQZV7vNvMEXY5Zl9bdHNBBkasuaYfyJOFrBF8SV+CaID2zKOvLCZv2TRkaiQAI+5yQvgLWYTrDGAiDXCUKd/KFN6ycGY7dlm+kn32SB7QYrAubE4Im8cMaJZk//qKf664zAh1ODriHZ4Tonc1L5w5DDcQdaAmdW9RDgnV3UcLuH4olHwf0u01/AwxA6J2YrKPDKWQ34wU91qbCHr++2IwMQqFOBkW/Nw8SAmL1idGEpqoIdWbC4ZrBAjPQD9PtPjAEIh+1ibZqCoEldX8Ak2IQPVh+lM75+SkwRfjdzH5W7dzJrSpXMxEoBdoqJvygcj3w8OhD1V1G9Pao58MOzaV4LiOjcJivsfHi3vc1RNc3oyBVQfUFj/9Z9+GmQb4bx9geov8mxL9KOI33VO4jcNDMHg3PkesPEweMJnV+Lsvfoen5Qbf+vQSS3fA226Ff775DJfHGUI0+MWvn2P8ZY6TX84x/WIL9AFWnfPUfKXtELOMrGVr5TAOyD79mASld9dDNjzA/az4kttPXwEPW8TtjsY9cZog0gggbnfw2y0Z5Sfn/HMC72dPzgFr4TeXyJ49YcHJ5IYpchaLUQV/MkUoHJqTEvWKSotywwdSw7dggKKTZlm0t0rILB5Mus9tD0BISLYFxm8t76cW6DugeeJx8fktjIm4+dcXQ75HzedRY1PVYjUIaaqbAe2EumPXWNTnAe0yAtGy6awNYo606vInhuZTMLAtuQndPCJ/scdxXQHI4YuI8Tt6aHQzw6aiHZ5BXyKFq+jz+ljf3c1Mgm1DbtCNAVPRa4DPDp/F7SuH6CZYvjmlZe+xZlP37ILktps7IMvYhC1miEWOUOVw90wNtKslQ5luboHffJkm8PjQINQNMmsQVjOY5Rzx7SXi5TXw6SvEMoMzz7gm6LoUSR12O0D+HUCS/5npBPGeOQZwDvZ0BfQexhjYQ4tYZGg/OkF+vUf88j5J/IxEesfjETbL6FcxGiFudoBv+RyUJa28jSEnYbkETpfI1Igqy4D5FDjUJEaORug/e07Uow/oViNsPik5HPjB5IyqjojjuZx7EGTUaKHluibf8LxoV0NmfXkv5miyAlXEygQAv5jhppoi5EIMLCNQCsp7Z+nxIjK7aKMEVEkRnXMoLVoNhmPMegoMssK3GgPVFVDdIZH6sj1RWa6hogTEGYkS5uv3is5KEQaQCOrZkTky3VRX0yaZCQGsVVY5ZUpsn/B+z2pZP5RITZX+zEzOWj8e1rTNyuDwPCAve9S7Es1djuJo0rrMFeTtREs0NttbNiFyHphgUm2M95amXgtDVduP/pM/iypViELi66aRAQIuwu0t8q2B6whBKLlAoR36LLPotDMzGAXloAYxi8i3NsGMMAwH8ZXsdgzgTzrAG9hdhmJtOTGIjKKbSqFspJMK/MI0NCjbR/jRQMhAAL3tC2FYlvp7skYwQyeqmk8TkSyA8y13RnqjuyORgVBQOqIHl6sHRQCzB3gTdVO6HvLa8KbRnVCC+y2naRIxhmIbxXcg5HyP3IMCMSOk1U9Murl0h5Md+Rr8e2aQI0Zlg/MgtS2vk2Zcq8pAiz8MD9/HiVFKDFN7TnVqzHf8ebtXBif/znv8/We/xP/9l3+IGA36zgE3JVdET48oyh7GRHb3ESgyD2Mi9scSkxHjaMdZC2si/v3VL7F0B7TR4c5P8eebj/Ck3CJEg8wG/HLzBD/9+ccYf51hfBlR7CLyPZ9Q2wRUX90TrrUWYbNlZoERQtVyBrPeIjxseNDXNVQfjZMl+os5svURuLxB2O44xXUtjVkuTgmH7o8J0jVVBf/sjIfwV+9gVguE+Rj25gHhZAY/KVFflJR/Vgbt1DD8SQ4mE4DRdWBSZiQplSZXhO2mbwL2zywnhZbXvnwIOF5wPZVvI45PuLNXbw3eK+Tj5DvZu3+8Q7MvgKNDcetQ3RJBOLyguVR1aVFfBNjOYPTepGIcMqA5JcSfP1DWl2/I6le9s8KY1R2Z/IdXPT759iU2dYn7L04Qy4B8WaO/HmHylcP0Dddru48GZ9BoKYsNhUn8o1ASZSjvCL/afrDqVk+Rch2hFuatpG2qvHh0G2ACMPnmiOx2h/juCnY+QzhbwG5pVhXOVjB1Q22/yAftYgYznyG8fU/I25rkQgnvKdOsSiI4Em6lIVjqPmgmY8TNlhB9lnHdIxwXO58hXKzQz0rkdwfg+p7wep7D391zP+8c3PkZUYeuBzJHxGo2AR52iIcD77/ZjAqX1Yrafmu4o88zrjx6D3NsEE7naE9HcMceoXDophm6Ke+hZm6h2S6qs08+9R7JUKpZmrTbV08YTWINmbDJdyYZ4aSoXcNCZ6LYPgckN8hQcI1bbJEyYmwnQ8p4OIdcw/NS18r5TgpsAEbi9KqBQdoYhIJoliLI+ZZnVj/mhOwaroWBoYYB4vciq+J+JDkxkWd7OzMykPH9UXIu4XjVh5JvKstknRvYPNTnVMNkewNfUgGg6K8qe/j8IjX12RFJpt2sIvyzBvGYIV875A/qRMjhoD4PyHdc24dM1tSKmMj5rd+LhiUBgPn+/5EcACN7RS2Ux4uAcNEiHh3s3iE7kkRge6YqAex+mPCn3Tpoz7saGgFf8s9qx6edDkN7uOMLOdA/aWEOGar3LsFM2V6K62b4eWq8Y2Uf72Wi1aZEeQQaF9lNTHq98j4mTSkbHU7K+Z5Qa/J2Lk3KMMgOBtXtcGOEXIIkAg9t3W9Vd7wB6xN+9nwLwkkSEpTveG0Pz9jpFg+Aal5huW5Q8kfyopYvrVjHREoxHrB+WJOo8VC0A9zfj5CsmNW2WXkRygxV7wW1tNTwCl1x6K4NQDKB0gfR1eyA1ayjPjPYfeJhTxs8P31A6x2aLsPZdI9ZXuPTyS3W3Riv90vsugJ32wnabyZMmluQO5CNe/TrAm7vEJ/WWC732B9LWBthbcRhUyF/XdCACoNfhWv5AIWSD1d1w+9m9rrH6Hf3PBg3eya4FTltS6cjsS/dcZoblfDzCm5TA7frlNEed/vklZ69fMFr8bDhAQsAT89xfDmToCuDekWmPq13bVK20PMCKQxHH+rsOGRM6Peu+eMqDU07wYIFGAbYfQTkGz6L3ZTfU3VLaL954mGPMo0vAmxtyAAuIsKIRCrbGvhVBwQDUwRMFkfs3k8xepPBlxHdkoY/0QD9GXf71bJmI7HLuBb0XA8Geb71+TCdSbatBkA/C4jjHuU3BWxrUhHxBQeE7CCWqUseXIwult9fC+K2jzg85yRjeuEUjUSBsInJ210RkHw3uLhV90TQio1HduzhNi3jajMLe+x4H6w3vA/yDGa7h78hSmSKPJn34GwF3NzTJRAgRN51CJsdV0ISxwv591jmMHWL/u172KqkzC/LgEgTrTAdwd08sKFsOzL3swz2yTl5KDECeUbkquthek/lS5GTZ1JViKMScVSgX4zQzTM0C4fgyOHoK9GsVzxnswO9QthE8c80J1EmYIP6aY9s60jA7vmM5RuD0Y3INDNypFSCbQRG9xVR3ZAD02+on+eunC6Qo0szkJIbWqr3MtSZnuopHdD0n2qsE7IoRcugWQW4mjyAfBeR74kwF7sg6JBBMzdpXaZOs9p0KHrZKw9AVl2qtU/pfTLd+9KkZNe0eh0Nw291H+iUOTFMiwVSLDDVMboSQIq6f2xV7wUpt/0wFGgzXzx8+Oxrhkd77mFag+xgEUHvBNNDhnVev35Gi9/iwabrZ6SxUrRfLbzbMw/zx//L/0vkw2gSQY6xgxHtkw7T0wOOxwL2y1FybDKBBDpl42sgQXQDuYDmCSY97N2cB7PpSOpRM59o+cD3K+mSDw7F2qK6londsRFoViJxCoDxJu2UlPkfjUgEW8kZcAa25+GQHWJisjMOkjePap4TkrGPqeD5ctAmu24IFWITwwJse/4zCoNUC2XIhxvK9kiJht3kw9jgaIf/ftyJp+xm0X0q3J/vhptCcwNUJhiyASnJjkxfND1RDdsiOQ+2C9H+R3ko65hUFMpq9WNKzco1GzqA19O1McknuY6JyQnLtRH75xaHZ8wxsDnDJ/Kyx/lihzevT7D4aZH2aWoJC/DaK0GoH8XkCKamSLrTsh1SsdCio1Nou+Ih545I3vPlLZuwYhuQHQPybYd+ksE1Hm7TIpYObtvwWnWeMq/cwYQANXRpzyZoTjLsnjl0Ux4s48uAYhtwOHfoKwMnk4KSN4vtkFPO/SgQXJRVjIRiaZPV8/vqRyYdEHpI9GPe88XDMK2U66Gp1ZWWNoj3v++BAMx+m/H+yNgg9lOgftbB7RzKW8spZgLUT3rkywbdpgCCQXFHWWB33gEt9cNubxHKCLNsEQ4Z3IM0P9JJ+ylP7fwu4wFaRMQnDcxVierKopuLWVVvcP6vWAC2H3NVkG85AXZTfv/FA6/b8Qmb5OnXw/1me/4/mIEbk/7OmOs610SMbgPqhcXxgs9qdRuTg6cfDQTHySX9Qao7j+qmRjfNkR09ECNMT+fLblGiWWbwhUGxDZj+9C3lqIcDSYBZxqK+4H4/fPkNYt8j+/RjhMUEMbNw7++JDowp4wsLEvhM54GrW6ipjpoEocglM8LCPH+C5sUCu5cF2rmRM4MR6u3KAw6ILqI8OaIoejgTcWxyWBtxMj2gDxb32zEtdgEYGxG8hb+umDU/CXA7S5lwHLhailzGzKSi7Ue81sWORLtuyim7eOD92s4xDFfCQSrveQ8ez2kHbZvhu9MB43H0u36n4/dEPg9P2WBqKBUiVUX5LspZaVJDooOOftfFJiaemFpi2z4mK/QUymORXksLdtLmCwJiezaUPOcG2F7vKXLlICTaiOwY0SxtIn/340ek8V7WzW74zMWW57A2x93kkeqs4Gt3c54xajgUHBs4ZrrwXj88ifCzwIG4p9eLOw5eA0bWxL4Ajs884tjD/Ph/82eRDHQpciOT0o+On7aYnrABwJsRHb3CQKBQKY8Wfuul2IvTUCH682YZ05TKDskkYoJtCPt15z3gDar3GaprFhQ9RJUV6ZqB/RkzMjeVham7+5SFHIeJqZuYZOd7PNe9D7/A6p74Tye5zwrFKLNeP6MiFWrdq74B/SSmSaa8G7ITsiOn8UErGpNMRa1bTUBCAdSeWIktj/+MOhvqikbDKpoVD1wnjmpKxNS9rq9khZCzmy/vhwdAu1lgWCfkO6Im0RDZUTSlmyLZaOoERrkLhn20GRogZWxTgyrRmBaSyoWBdCqoU3ZkXoKuoYLjZ1M4TNms+uBqE5TvBGWqBHbbI6ViJTOpXFGkR3CfroOkaco3hNfzY0Q3MsKfGJq9biYuYzsedIDIR8vhwddpQ58PRZ00jre8i8mIhHtQ8j9sOzSK2ZEnaF/xfu1mhMWNF48MuWbAMH0pf2T7vQ7IIsrXObK9SWRQXwLNRw3gTTLvyjeMnPZTj+pdThOTIoqfAItBexLgVz3M3qG4c2guetiG1tP1BW8cNjGRZC1Pa2rYmAit7mi4G15EmFcHZD+fYPImcvqXXHbjYzq49dqoXSpVKLy3siPPAxNZABRpK+8iDcUKNl7RAbvnhLaLh5hQAdfKwbywKUBM7/9sH4fnfjbwffTZz/YxvQYLjsHy10fkX5NYB2cRrm8Huam4VGoMcew6+Ls1f9bzp+hfnhLxu93SI+L5OUKVoT0psH2Z4fCUpM7s4ogXZ2t8MrvDf3TyU/yyfoZ/dPM5Gp8hswGv75Zo9gWqaYOq6LDZjuF3GUztBml05eGmPazz6PYF8quciMBHezgXEn3m8G6KfG3lGTEi08MHNrWcpGO6B5slzzctYIqcpuHHA0YQYf2l8end1CSHO9uLta4USSWPK4SdfCeOEoCjyrBiMDIDWJi7OSXTkLWu/nmfy+DnZG3asqjT9Gw4W7SJj5YwevEQk4GV7XmPqfx9sA826RrZNiboXtn/ydJXGgetUbC6fmWT76VGqrW7L+XaNgzn6ydsAkbXQx1BGHhkNB3SOOI4SOWPOpnyz7qaqGm7iIwD1iIOsIOBYaE8vuyRzandDNuckrC1RXYQx7pO4eeIKD/M9PqBTWKX8yoMXYjxnNJS+pGNaE8JFeaXBfKHYbeuEKMeTmqKoO5L6UI9iIXplIXEy9TxeO0AIMlAii1vTt2r+4JFWJ0FlSgH8EZQop8WEZ34Qz6gIv0EicCXyQOhnAR+nqG54o4faSLW19VdmB9pccQH64m0IxJpZb7h63dTvo/RtUxm2mzItdebuh+LZExUBLp/SvIYuSlDGVODo9M3DTbM0GTkhN1dKyle44Dy1iW0RUNhNIWwm1K24yvugMt1TPdFNzHD9ZMGUycFXU2oy9fkbUR+CDicWfo6yMHsK5P247bjAaSNqUrpfEnUpT4lepHtH5NOh1XQ/iUfovLuEex3FxM0b+T1spprnmbFA2J0FT+AYLXZ8IUgFM0AEbYLEtrUlyHbD+uuaIGs4b8fz2yS/6XDTqXbtxEP3wa+9299ib9+8xTlX42Y4+GGCWv3Kia9PyJo8FXQi8N9U8nvBZLz5LDoZgFhHIAsILvL+TnGAeW1S66W3TSk6cxPA9zWIYwCm41IPxDbinLg2QH91Qjjt44Q/96kpizfRzaejvdsNzVD098NPy6P7wAATc1JREFUSFFWs+mPmZGBgFbfzcKIJ8ag+ea6bEDAyk0glFtSmtiPeGhrQXdNTNBws+J3Xmxo9Q0reu0Dv2tYnh3FNmLyrkO2a5HdbBPXJIxyuOsHxJKEhTAfwU9yuH2HblHi8CRHvbLoJ2xglGdTnxngT9f4B9/9x3iaPeAfb7+Dq3qGr7crlFmPRXHEoS9wtZvi2BQIgbwa3zngtkR1adNqjPkM9CbxMzYBvna0bRfyaByphCtienJA22ZwfzXF+F1M+3j1D9HkVt2lqyxci7hrOMHmxwifA83CJldTlbAqCz/aAaLvKxIMXSNr1YrqKHeUodFIcS6G+0Dh/GHnj2Hw2sekTCsfoqikAlGMwqBZWK6AjIRhyd5dV7n5jmcFVwygd4wDlOyt61QdMpsFyY++jIIqmNR46x6/uuU511c8o5oVi77pTbrO2ngoMdt2JDCOrniP338P8LJOsw85Dbk8h+d8a8TmXtDbo8R459LsHMVJNx/QZV0vm+/+n/8sKoNcjXXohR8RX9VYLfYosx73+xEOV5OUUx9ySpJUx9iJQYhOgjzIJXTAIMGYNN2JNBTJODkggPGE3qAQq0I9dPuJEC6Era6F14/4z3w33GS2H2R72gEDSFOva8nc9BV3VdFJwdjH4dAQVrK6DD6GhHQi0ImM0zJfTw9n1cJqSJFrB529praxyx3UBVowASSbyuLh0YpD+A79hN+RJh9GOzygSurgFM+Hol3wc9tGyDiB3bj1QwetXAF9oMuBJD88XC2vbTRGjHyEJzGX65INjY9OCnrz6aHsWk7XzYroQnqf2dB86IObHWMiJOkDwvXAgHS0Mx5yLOAs4tq8Nktqy02gaYcTWZ1O9PSVYIFol4NWWYus7qdhKVFTOA4R6VAjiXNIemRzE+FLeubnB16Hch1R3QfsnzqSh4483NrFkPkASDETBKCTA7bcRFS3PeqTDA+fUQpVPHAl1c6k4bgOuPoT4Nu//w1+9c0T5F+XKLZsNCnZM8gfDI4vPDDtgW2WJodYBpgyIB4ZE2pa0RNHFk0/jokNPn6jFqY8DH1FEqE70FwkO7J5pnkU0M35PFdXvDH9iIYvMQ8YfZOnUBWdyKID9s942JPPAoyvSeY7nAucKnGuyfALg1eIumGm/IwdMLoLyPcB/cjicGbl+Y3J16JdPFrByWtp2Jnurn3B77ddBriGKF92+BCyLtfkMsEAxS4yDlk08hoaEwok+Do/CKksNxjdBkLMU0v79bOI9kWLrPS4ONng1WyNkeuw7UpcHWbogkXvHTb7Cs4FvFg94P1mhv3DCFlFvkZXZ8irHt2uQHaficyN92235I4437BZKO95zx2eGdQvW6CzmHyZpd/XFVtaJXb8rFnDPTwMm6p6ZZMrn8q1k+/9Xgqq47PZTSMmb1mg+1J4V/L6GtFe3RPxOVw8Unm5oeg/5jgVm/gBT4wEcOE3dNLYCU9ASbfVWqLiT4d7QAeO8l7Qg5rDZDcbEDX1YVGfG7UATus7RUsKnruKqvqSZ9dAhBRY30iB3vK89mXE+L3aFRMZUJl9uwTq5x3skas85Wjp9ellaNTGul3Kcy6DnT6jOpzZHsi04wnl8AGyI6eVpjc4n+zwe8u3eFfP8U+P30LfWjHjMehydlv51tArXGBhDUnoZhFeJo9mRajcBCAWcnO1Jh3gIbdJkvb4y45CPPMFi67peQBFYdKn4u34xWdHdua+MGgLkxirCvFZbhoScUO9+ZVdrL9cw4LrswF60sRAhWy7iUn5BN7iAxkICU3KGo3cS0c2QuRZDIed7v8Tp6KUHb7s83X6bluZPjxSWAVfBEmZQBat7D+veR27GVBfAIrR5/d83eMZmy+rHaEUfFV1IAKhU2KaFIAZoFnX2WHYbUXDfyoMRwMPi7glt0AdGMt1xPRNRH1qYfpIg68RH/J8O5AdUcWENBhFfUJM3Tcgh9heHqZzPnmu1cbBJIgu5EOXnm9Nss7Nd8MDEYvhewslH8zR+4HZjIKFZXTNqZJNk0lxubaPEsDEGyDfEl06PDM4Xri07qhuefDoSkyzHsoeaKcmKTnKezZM3cscTqSZMeP0CplOszricGHx2Y+/QYwG9rpAvjcob9nopZS0HrQAzhyyo0U/98jvHeLBol942KNNa7l+EuHnPdzGwXYG/dLDNBbtwkhMtyhjNgbHZ3wW6yce0UXkDw7d0rPprK2gW2yC6YthgLlHKDKGbuUGjRyuJgzEznzLBv9wYTG6CVTYLPlswxjUS3mmSvJEKCuWQeGAtLo7nlnKwko+A9FCmiNREQkyagVynt5walIvEEVZbAeM39lUfBS10gb9eEZL5m4MbD8FXG2FbY50PyrBrJtQFdLN+BnbpcgrezaAs6+A/qrE/mXEu7sSV/snJMsCyLdiy7xg9+Nbg69/OSPvpAX6SY74pMHHL24xzlv86u0T2KuM0G+v6BNJ1sVaoXU+J/WzDuW8gf9yitF1xPRtj35s4XOD46mVZiAO0bUyrfcjKVBenz9q6X3F8Jnqls+sKjX0bK9PzAdrSKZT8hxp57xGaoxj+5jM0kLG8wiR55aePer6V2yJQPQjiKeJcLkaPlPqttdPpTEV5ZPpgUKg+5ABx4+QzOv0nNDnVW3q+5HII7eDoorrNKCPA1Ls3TAg6nrM9lTD9VMOxDHTmxHJGCs7iE2+PB9k/nFw7kck+KlXhnrTRPtoddLr+R+Qb2w6T4stmxLXAObH/9s/i/zD7JSymqSPzefA+R9d4j98/jPc92P8cvsEv7s7we5mAvQG+YOD6dgxZwcW8WhIAOznIifII9AbwEUU0xbGRDT7AmbDSMLRJWV33cwkKEihGC2OwQ1rBk0VU/hfOyq1Y9Tfe+xtoMENJNDJXlrSnvThVJmekhlDhuSx7iv578Owvy7XvKkJSw1sfZWYxIyuWKHgYUlXLHmNGiIzkS9NoDCdfgGkXT8grlpeHrYxJHsgputgO06M1se0F9YJPTHPpbEyYbhRqfGVifvwaAXghuupEhrbStMl30kvqIPGLTdLiZWtkXZuiIzi7MdCtpQHaXQT+BBXZpCiyENcrWPiO9ie77WZs/lQEuRj2WQ343vIdyy2xQMbiHZhEgoRCglCSiuM4f3pYc4MB5lW5HtODZBIMlU1YQIwvvKIzuC4soIsEQoklD2gOco01slfVzLN0iQVjJLhkq12ETG6svCCoOg6yHbD9KEGV8dzg/zv3uFbJzf483/9LeRri3blqfstA+zesQHoBqYxItAvApvvnUE3l7hQbxDHHm6dScogC0Y3j+hnAeWlQz/ms+2OtAWOLjIlNIDKgkmAW7Twxwzm6BArj/w6p3a7APqKZF876WFfVzj9KyH9PdKW257cHZJCH61remD2O0G95mxclTz4GBJWVMmP+DyOrqWpLOhDoGu8ak10oRsZ7oIdycJ6TzxWDzlZxfQTkwivzUpIbQJXmwBKJCcDIqkIWJQVHAsASaOK/iUCWxdRroU0NpJ00Ir3A1EZuWctByxfkUOlUsnygc+L8mg2nwHzH9xiUnR4fzeHvxwhFAH//67eLGbb7MoOWmd4hnf+5n8eXOWpujy30+4xUXc66igJUhM1Ui64AIlIBHGDBBKCK8QNEiBuIu4iAhIEAghBpICadIhpBzvdXV12le0aXONf//zN7/RMZ+Bi733OWynJsl311/e97/Ocs4e111q72O8wXFcwa41QR8SJQz3t4QYD/fEIe+8iGZyJ0VKOrex/guxyN8xyQb2LYgoHQLNB2+7m1eQmOkfqYoX9L+Q6ead2S919tQzopxrDRJGk0AnyLLElI5S08ZILP+GTSJwY5U486pwITU//XnOgkmFVc0JnP1oyxJLlP27ETWHLjRCPCxIfbqTScjWa/fMognOkbZGI6XLmRX0mHJhiQ89c7j4VWUT0c3O64+TDQ0Zd1SX9rGGCRPaTf0+k9J5XAJuORgLFOsJahnGKDWv5JwqbOwrjr13gb979MR6UZ3hz+wCldpiPWmxHFXBWsce+gj7P8yAEIK7JilEfDNA6YDFr4INC05Xono1Rn5kkrdBDtrktl3QZ+j0m7TAEbAcALdKGOyJSfb4YEKe8WPMX5zmNMKo1V4/DjB+aEB4rgoXkAMscXnsOIiWy3z5DPuUVQXzgqjNaYJhzMixBNpQtkjJBIMnqkoKBdpFZniod/GCAoc6XQyRNylGlXKyQ/pKFPsSIj9yBx9TtCj8i6ojRGf0MNxYZCs/+VJ45uwk4sVF3JaQ1PQB6y4zbEhhqlcgz0ag0IiE7zWzjKoVbNjyKqB0VSipQV1vsoDQylzId0O4rBKtJZhlVuhBUvAjpkFY26yGiHTRLVokg40tK4OU1PWMqkBilCRm6A+j7FVv6c/UpRX3R8crvlMJomAKjl1y0lMDqjqWZ5yCdRg4uRvN8mS9elnZSIGsYiu4OPc1gew19Zmnk0wMq0H3oTwLcTCUIr7rgDsoAiklC3UHEyAS88d5D1C8MXXANxMoDTsGu6Lt7TiKaR3JRReiTHv3Ewl5ZhKARbYQ9LWg6UACxCOj3aLeDrxTD9xFqIMMhWJphFmxOVF0oNDcAbwvAE1eoXJp0ZsHFavW8QHdDYe/1c5zfH8O+N8bkMXXe64fAMPe0lvvCpHMfDdAdO+ieRgfiQ1FdIyVi0/FYRea1y8ynUAwXDxMax3UHEc3KYHRGaqV8zlTa9d4c5xgzzOi5UZEc08ijWBMKI0ZfvswIRODf6yuOL6wEcmMkGFqKDbrv1AS5ERcekvDB40Mm55qBZ/A9nW1fUsHbL9g9taPCY/wc6E+PcHmf2N6YO9SzDiEo6OkANY+oCo++tfAfTDE6pTPb7SPp30OpcoESqFET+JhMwlSKJaaLKekA7IV/RcW8HzEa0uUmSXu6U+0hK5MuOQl3SPbQJB1XwCqin2m4ihEHDUTRtffgIpdinhRfwkeLJsJrRnsUFQ5CEOznhBo3J0SUk7g1ekm+FMT9IOts0xHPapgDw56H1wqhJgK67mj5luV4IvwuWQ5XXpN0sT3kBnlKCJrEteoqIpjsi1FfUC5VMSaDIeENzRogGksIEqum+i82cCbCn1cYPzGMsnr4SmF7ohGNkOZpA6/kFl8oqG/+nf8ymo5mJVHRTGT59R5/8O038PXxZ3jcH+IH56/io9NDBK8xXFcoLkxyJXNTmhMGZpzDRmA24NU7p7g1voYLBh9dH+LlR4cYPzZUkcwj3DQkm1FfM2lLOpXUTXPXJLB6QdW8aagSl+Qvl0i88kV6WGy4AuLumyRDKpNG4g4Zwucq1tV5LimJtbzKUsDdalYIUWKbK2Y+IlESXoJsqQIH2LT0YQdmIiY77w2Y5irYMAwmv18uCo1HFBUALHWRmR1Vgcx0lc8kpE3utkJJAc10Kn1fX1ABlMyeAlJgE3QlJcgNI0YCnxcqyVvkd4jjXLlkj4KaoLj6Mj+bYHnz1SyT+ITc58aZZClFXX0e0/IOV9Oz0j6zW2ksRd+v2yd3RTHIkKJL5mqmo9mbrMYVlq4UZlHTSKC8yhbRkiTSWauQRhFyBgWhkErbjXIQ6Xk9s7x75ZA8vOszCrTDGCi2QHtEWaC6IInjMKef3b+2xc2DJZ48OcD03TIFahm/hYqCuPJ5Pt8vqEAIBsD9BmU1YHs2hlnSuu5QB+jpgHheJVtRFYH+kNs0G1A+L4iMeaNDHDTMZYFQBcCANpJt8nrgYkPvoJ9Hfq9kKOYLoL3lSVrYWKgtsdbLS41hQWPD+iUtDwPo30uyYUvvQuSy3ZFHLCJ0o1GdiUWxcD7oWRarmCS40mhI1xeMnGv1OahVIGeR1orULZnhGCTWtrgYSrIW/X25ovgl6I0fZVRISG22QeLRUFMVE2yt+Z3pQaE+Q5KVdYyo2QYJOUqEV+HTSBPE6ptQ0lkKBSUV0YiXVzRWsFuVCMZS2HtGqYo1Jf5+L6A618m8R+RvgrYK4VW+4+7nE0QgFGA5YEzPut9T6XlCIW1NBSSG8rPtiZQpYzLppnUqrkg1U2wJRRK7XmlQBYWR2K8dFQLyvFUARi+44ZkqbG/R5j17UaC8UklqTs8yUFJt87I0itXUDJkGSdklDa0grPKuRQYvZ004JbumQlLACoLoJhI72G6/p4I23G+wmG1x8dke7NIQYd4x+uDpc9Iz5LPPRnZW5s/REillczfgr3/jbfztwx/g3f4YH8cTvDZ/Dq0i3n9+jOLKoLpULI9QCBWRPNwAuFmEOWzwjTtP8Z3FZxiiwc9Wt3B6PsP4M4NySS99dAq0hyZdGKkkpWoyLA2MWnHAYpVBAMOT9MBcnR+sSC3EO0D3TJBT4Dk/oQsiYUwJBcjwWsgXoDsgAkaxiWhGCt1BZs4XF9koQmQbef5CBBQxJxG7SeXZGEJGGIFgPsXz937ORUzPED1fLNPG5C09jKmShCYYuVxFmIGZyZzQ5fCECrRQowM8qMpUIUObgRO93ahEwFM+okyzNpXGAZ49ByQoiTRrmCE5fAk5UpJ+fRkTBEXzVJXmfDKe8BWRuwT6M01E2SEVEQBVve0BSRjFm0F4B77K3YXmLmA3WBDZUyWHuLRQikc9tslLjcQrO41fFNAfUFdTnVPRGEra4FWuVNLy9vMsZbJb6qJ2Ja+anbd0T1W+csD4GZKTmt0QKa2fy4IeLizG9Oymj/L4JxpgeytAHXSITuPlmzdQtwqbex6xDph8VMD0Cv0iwI8DimsDNw3QTqNoKQg09xxQBOC6RGhqtivlVa2jiLAuoDQ1A9pTAlG9gu40yqVlqVQEVgWNoxrAew3b0v2gEUxEvx9QbHUq3oqVIq7AKMBeWIyeGoSzEfo5qQ0CNNyMZ8y8T4DIsHS2hxkvKzrnM1ARt6A6M8kfBEBi81fXHt1CA4E5KGXuXNtDZk43KhWVYiJm2oj6mnga67uaCn8uDvpFBOYcRJu8hluWdnV7eQdIWvDS5eRYn9NZbo8iJ0QFH3fQMg3qUiMwsPR19Fx9zoujvM4k3Mkzj26uE5+oZCSECnu2EeeEFXsAUaW4ZNJqXNLoi/OnaXeK90g8JrqHQLHW9Hx7AMj3xWw5NvPmPOXyTN80Ofmqlv5cczMmPwzdR9b107sQMyhpzmhUwox8oxKy2i8Iho8M99cXkc3UCDVzzOMQxVdxxQZ13ODJyEEaJFF/yYbX+jxicxt4+OAU/p7GZ4+OMPqkYMlxRHVBJE/pJpTnwmERYF7qtFDI13n8qCKnGp3HgTI2iBpJFiwIcFKdRcqLcjeipXvpayoGRs8Vhs0Yl8cV1Nwh7vXoGkteHhEozw3cLCaJZ8n8m2EG2GjodA5jhc2dgG//hQ/wu3s/wxWvEDrtZ/jp5S18+tEJiitDpD0O0tV1xOgsYnNLwx2THtg7g1nR4XZ5iU+7I7xzegPBkXa42ND2t2FM5BDqHhX0IOtB6YFR4mMpkKWLL6t2RaojpkWSlBJkX1FHaqxKVbDpAL2iZGwbrn7GKnVdPaMM5YqigQ0kd4MmSE6SqufulVilMVm7Kg9EleUxgWVKxB9Q3GmoJHURskv6/k6qbUqqUi0PLCeTuQ5V6Cp1Jmkd8QppvksuhQqaIUoZsYjudrf4EdZtt0dSx1jKOknaY90ekcVneZm7/8QKLnPglANdrHPhInwBkspRMSZyIbHolEPuJuTNvcvuTpIghtNk7luushZb+SyDjEYIoETKktmlFE8yb5XuRLgXxJjleeZEJYdJ2wCTp8wQ9oBuBMakZyquZaNTCsjtAZ0XgREtBzs/okuHkJ+NL8nsZvScZ4rjHCCo+CQFyTAHmkhBxm5Vqk9N4TGsKiqCxxH6sAee1vQ8WiKLuZFGv4iIOqI7CCR3jUD9zFJXEHaKHVBCrZ8W/D5oPh4LwI3JWzyUkbcLErlPtwrhaEAPTuZMvOoOA8CBytXMv1ky16AOMEuTEBjP7o1hIOmo9gplQ8WYafkOAvyeVUJYiBxLHvV+Qt/RbjUlFM+KjD2D8jqmQmL2WUB7oLMUzWauiyw+mnxGSN3qrklKjzTmmzDK17P3e59lv8NUoT3OIzUhYSWlC8er5oSTb0cFZLmMidMQfC6gEUi9Ig56xVo6TNp4pwKd7eaIPA3qC14atdBwE8XmNQEDz7uleEjFCcdE6oIVE+sAs6Y/G1lpIfJdMQjq9qmIECmzoILNMZ3R8jqrmgAkqXfyNmFEQgo8VwNhRguphKSJmLkB5ApJjUx5zTwM9oKYPM7Fjq9k6Q2PJlV+B3LP2+OdcSKjvdUlFQVmk5FOcZ7t5wr1OfDJo2PcuXOBG3cucTkfo9+UgFekruikEYlwJwOUDcCyQHscUF1olNdk4S6eFuL/MWgFsDJMRqChBEIEwM0WobUxoTJE9mNTLa8SauDGvMhuDZjGAMpg88Dj4MElmq5Eu67QA7ArcvPVooByLDE0vKBj9arD9775Af7m8Rv4/ckaQ9T4X/sKL7spPnuxD3ttYFc0Q9A9vYxhrOCmlKBiEWH2Ozy8cY77ows87ffxSXOISdVjPUxoh4CjRCgyJIC+vJvSwxAtdYJrOeFIVwzQPgG75aqKoTyppPyI55IMzQrrnwIcB1jFD2DnwoWKLlV7mGfkApeDu5zqinXbE4X6ItAmtEq6dpppCcRrN2ROImx9sXLVzBBVHhifkROZq2gO5sZIdszyGSxXzyI5pIRIbmciv/ElFRjDVGEwNAsUdvLyldyBdAd0cKJmWHqTO+/IszGlkHYiUEfECEyFRGakpEm/T+w7xdAiWiDwz5DiyG6JwS2dkq8U77qWS8qBLuzq+ZF2F/QLJsPxBZKfBdBnqa7oHRGhkYss5nDY7edVEeJaJgQk0V8rn5GFcpVnl9pFVFeMgpQKo7OQ2PxCJhLzE5E9piImUKAVONlNKbFLoCyuqeMvoZLcVQV6X8bQZyKCKiXr7tijurGFGQyGpoC5shg9oyq+6Qy0jWhOgDAOsMz4dQsPsyXdN219JGUOBZaIWEZSA2ggHA1QVxWNURb0OSMAu9UwHQWf4po8QNobATjqgKsSuiOjnwjq1mNBxVT0TGDqVNrgOfq0YGdAOjRUKGXzLD+KaB+wJfgzk4tU1muPXjIEvs9aaQ/U5zwDBL2DYp2Rv36Pih43BpYPdHJBk7/IdIoRHG5ChLBKQZVMX7xiklXcHafFNO4QHwfp2KKW5V3ys5gMO5Z4RnHATQjRk0VnMSXLmBRHocidbLQqJbaoACd+CZbOEsHnOTYPE4WWUa/6nB02uQmQhqNc5lGY7jOxcvw8po6cZIyMBLQ8WoqKpauAcirtZpExxjBTcAZEFOffVV3R+GeXXCsJrj7n2CAo4YhQH92rTPIsclxPJMEmcvHI5D8ujsSmnFBP+vdkfKM8jRak6QtGsbV0RHFKDcUwoe84+3mJZ6sT2FtbWOuhZ5RwurKAj+TDYCsPExXwvEJ1pkk+yEUSOVQC4K2CUHkPiziWItK9L5dIpmy6B6orji0GLCtWRL61VEHLexsm9M/FOGv6sUHz4gjdYcDs4TXMQcC2LdE9nWD8RCcLZl8o2PoyYPVQ49tf+xj/9s1/hmOzwZ90Fn//7LfwRx99GcPZCPUzQ2zHJia4IioydSHDiQA9H3DjYIm7kyuMdY8hGmhEDF5D9RqjFwr1VaAKeEnf2wy8Yrjn5D/QpS7WkWezClBs7yqH6EKl7lJgZ4HWNfsSAODKkJIeEVaY1MPwtXR5ADB6SUHFjZglXudLLZ1b1JQYBM6GlhcJ9gGIiZgn8hryqOekHihpFGugWpP+dRjz7uouJyYpWqRbjZrXFkNGHwqriSHIrWfSyZALpGIjf55QlGFKAdl0KvlUI1IilYJJeSAwk1+P85pNu85BSf6bOj2VHBllbipe9ik6IUN4or4AfY2kkBBWvt3K5d4hHfFooGqouHKjPGsjooxsv6LvT34QMRVLIv/zFskMqL6i4Ogr8s6X4CoduN3QGegX9Ltoux0VTwA9n6iJ+FNe0/NvD7OjmSxlEhLp9ib9nPqCKs9izf4NHITMJct/mCfhavqZKgLgscDoBZG7TGPQVjV+9xs/x8aV+Mn7rwEgDk75tMD4ucLy1QB72JAcrDX8DiJQRJRLQ6jClCRGUArDvQ5qv0V4PAbWFv0+qQFCTS9y9NhCXNhUUHDTiP6mw2i/gdYRcdRjezmCfVpQAX0coBY9ioqq7uHphDrlfQd7aVFeks9AqGg0U15SoN/cdWSK0mqYs3KH1EUJWQ9sFtNLh80ckY4Cp0C4sppWilQ5R6alcZn2BPlub1ATogfAXiMtFJMkisjdaZG7RjkfipOkivTeJGGJN0iW9VIXKexs00TUHdtCc7E8KCo8yJtCEdmZzWKqcza00QCMxBgkIqDdRoSWzqGv86Ka5kSlcVi3nzlTMlqSZWdEUpW9AbS2udiwkRIblskSJuEDyfcLlkh+25vgjj4mLhYUmO8iCAoA7ubFhtlukAopC0IWQgXmI9HnVQOguTimNeRZkSCFSRBEFEDUGu0JIbOhZIXGkAvyXZ4CIsUlIQGLnt+xVXSxBiPHVJxNP9Fo1xM0c+K6xOR5THHdbyxGTwwx97m5EE+R8ooLuRJJQSFESll6J4onFSKqcyKSkxKEc5zOhHTTA3qjEloi8nSJa6iQGuziWqP5+R6GY4dvfvkRnowXWK4PU3OBANjTb2s8/LXP8G/c+ucY6w4/62/i/fYW/vjxK4gfTzB9qTB+GRiSiRjGZFjhmXE//VgDWqM9MnjqNArjcVKtcFSscFQRplQ/p/m/aKf7PTaUcQyZ84OpBOZhCUfa5cwHiwJBZEOHHGiFoQ8gkbeUA7RBcrKzbC4ks1QiB3KFKexUnt3Zi3yRFc/Gxe4xVNLt0QUnLSaZe2iW9zTH2bnNjemUk+GQSvOcYDTNrxv2jmdonhygpGNld8MJQz1XdCj9jpRFiDa+Ioap3ai0tEO6eHlGwwzYvDJgfLTFvf0rfO/wE1TK4XyYYO0r/OziFp6+3ANWBaoXhuBtRmTEjIe6F5VsQHeLl8T09RSgY4HEfteeFCYqEqfBjXjDGM/B3VgSHT1b00Wa1fE8b5ggWRxDRWxvKQixUVitii9BMDwyAH3ecpVHEipSJwUfUbEZiB6om4ka6C0VieUSbBYFhDXJq7oD7j4G+mfaA9PPAgJreIttIH7DTCEqcrqTzqpY0ntLMkxWwciKVET6fpvbVOELSVAsjidPIsbPLf785h38V6//Q/xHf2kfZ//iJhFja2D1AAgLh9AUUBsLjDyUibB7A6wNCLcUNADVWvRVQchNY+FfVghVQKw9grcwDlCDQnVzi0bVRBDkz2N7BbWyaLsJ9H6PeycX2NQ9TsMeENgK+LRCX5QY3V6jmzsqDjoN/WCDthzDbNmfvKPz2B0F6NmA8oMRKSFYxicyWXICpYCoHL+b62yLrR1oy+Qyfk7Cur1FRKn6VFNHOlHpPe1a1fYLGv3QdkEaK8gCJ+UBwzFGRyTuTDRIG+Dk3AsaJnwHIVoJS313yx4GwCv6326cG5dkOqbo/Hq2hBalgW3yPRKDLuE8SZKT+EcxUCXo3Y2AgpsjWRamXKRCllfLDnOVjb0G2gUCxXK4MSEIjke0bkJE7jj2OLq5xBf2znF7dI2FbfBHz76CJ08OUD4rGNHjAgekHNuVPsvYVg+KVtt2cscBxbGt30OSaYby8/a9MopTnuIjdVBIJOFE9u2RrHjH55EIxszXEidCgIuikcSOmGTX9ZmC3RIqJQWfjLKo6aDf2e9zcVKSpwZtFVQsQ+QcFVhtxE2TaZkLFhQMo6m0VZDHB61KSLcQKsG1T9rgquU87vAOGop1obBwUePO7Bpnh3vQAy39ggbsF379Ef7W7T9FGwv8d2e/iX/+9Au4/nSB8kqjWtLDbg6J/GG6rAnVzAOQDXFRA7oIsDrgbnmJmWlwNszQdGU6hL5USebiWAojiYocvlQylGkPYwrYBFnQ7+/36OGKIZBhSY4JSMYdQqyTS+cmgar9jU5JUznAB5KPkYkEX6gyw4SeE1CxJs4CQfl8aLZ0Md2IoLbNWKXLJ0VGfQ6Mn2XTF6qOae4l8FS/iFjfzxfYNCoRVBR3qCRboWdhW6oYhykHs5aKBJEaihyTfjYvWjpwuHH3En/7Cz/Ar48+Qq0CTkOFn3d3cK84x6mb49TN8RvzX2DySo82FninuY3/+b1vo3xjitHLiO2xSEm4+B3AJCFu+GP+joYhOacUoiXWssCXsvxGyFoyt5N31e+B59V0wUWu6YXN2jBnxBIrWXcq6cwlIGOHzCT+CkL+E56G6RXaA0aEQN32rkyQpGu5ELUbZPe3AUkSRaxyTlAvdXKadDUVi90+BW/Fc+36IiZ1izjR9XuEdtCIJqbuSOSk9M6BoVLY/PQQP3/1Dv69V/4J/q75bbxcTrE9G0NHg+pxkdAXFQy6Ew8z6ckkSAdoHTFo0qgpr2CWGtAgmZhm3k3Jn/etGeZr7oRZyiab4qYfG8RHIzwf3UF7d8DkaIu2LaD3Ag7mW5TGY1p28HvXeF/dABqDovAYdER9LuQpeo7zL1yh6QpMnsSkBEnvUdH98TwC6Pfov8sloHf8+/uRwuYWmfHIBs5iRd319g4F0fHTzMEpVzkRFkvAdvKzIuoLJN6O4YVdKkR0c01I44a7xw398/ZAJ+2/8CrKJcPkQRC8vA8DyHcl8WhEVcN3iwhpMXkQhIJijKyzlSVe8peMM00fYU7pXvYLBaeIHzR74oEIrG8bhIJGmGZgFHKquDvlwmaSZY7DjP6+aVSSRAYLbO873Hx4jl8+eoxvTz/FV6unFIsQ8ZWiw1+e/Qw/vPMlvL26g/cvj3H62T6qFzaRqKUDFp6B2OeKjM5NCeXRPaMWa24ERiot5+n2dSIyA+BmhHemaC4MuTiQpC1urO2BInIjF939Ht0Hyz4exZpXILN5GYBE6hUOVOQ4H4pIfiS9QjBEqKRGiGS3KmZ2f2oq4461OT9304EVM+C4Dt7Ai0TQlvxIJFiKiaZRqfklAqFKqhQ/zp/75WaK37/3FtxrGj8P91GeGcqDb356Nw5R4z9/+lfxZz/6Mg7eVhidewxjNl2Ys+Z8RVugxAo2mmx8AbBE5PYGr998hm8tHuOkWOJZv4d/+MG3gT9bYPKUAosvPy+xI1ILEjnKjZA8llMlp4Eo8hH/eXg8VBH5KoBntDInYYhtoABebGPS/Ir1owQju+GLM0eyCk1WnxcxzfjkcKnIF2iWYUKZD8tsubyOqFYetKqS5rJFQ3BZx9pdREI15HcmRz0mswg7Vohsu05Spo1pNlguYzokwwS4ei3gu9/5AK/NnuNWcYVju8JH/TGu3RgL9p/d+gpfGz3GlR/jzfUD/MrsQ3y5fIHzMMGpm+PT7gh/9PwrePLODYyf6DRycRNmLfOcTRKWOIwV25h8u4mboSC61qgIZgNo7iffVcwrIhMv5RwQChTR3OA99Bu6FFRlsyxPoElBgVweI9FFIUizPaJAL86OQuh0dVaiQKC1bZ7FUrJQicsRmNgozoXtAcGzs88CZFU0BSVF3gY757q8ipmhLOSfMnLCVwnR2V2EVF2wF4QiKHn9e2v8m6/9CB81R/hkdYiPXhwhPq1RXmr4UcRwt8d0b4vCeFy/d4CjN6nQWt+jrtg2Ko0cQhFTYjJthhahATXQO5IFOSLNtQ2Rp9rjCD8JtAK4CgnGD1UA5g7TvS2abYUQFMaTDuuzSTYn6hSGY4e9kxX6Hx2guoqp8xrmjLS0+V4L8VjeNcHwSEE8fW5kAuYwJ0JwfZ5X4Uow9yUhTmIna5tc/Jkmc0d2F+CIp4MkYnK/Q9oJHwqk4r1Y0f6BvIZWoZ+q5AfQHCvmwfAK2GUuGExD71oSm8yKy2tGP2dIMQdAkolVF/nzhELQieyxL4YwmmOUHpDMj4TsmHgX/F2kKC7WEc2xQv+tDV65cYZ52cKqgL+4/z4O7Bqf9kd4d30Lr0+f4sgu8cItUCuHbSjRhgJrX+Gd5U18eHqEdlUBXsEsDcpLnc6W3N9QxOSfYtcqSW+TNJm7b7HYJUSGOQoNOSqmLZI9NUym37mXHFPFGM10kZUXdBHkbkqcVdxc+pFKu1pE9SX+B56lg6nI43hGDXNMzzKa7DJpBo4hKi+eSzwSRpmg6XnojhoiUasQQR3J84AOQo5/gBQO9Nm29x3+4Ht/il+efIL/5vFv4P33bqNYGtj//vJX8b+9+00Ub01w8lFA1BHbY5M006aj5KQdGZ/ILDf5oa/pQVYXGttuio/rA/zmwQe4U1zg2o/gnEEtlVNBlWl7iLTYAyAXLuXpYogtr0BnliFBSFUzIm2jwHEC/0jilISv11kF4GtKWt0hdTG0pYwv1ZKKG+1EkcAPrc4Qd2B2KI0aFENU7INQUyUGRUFNVAnFil6QGagrpCUXMcGQ4k2fdlJzhxqMLMfg78abz7TLBihmILdGWsijUlIqeWPa5i7wt37rh/hPT36MT9wWz/0Y536Ky2GCH1/dxfvPTuAbS5dw4jAadyiMxxtnd/Hq4hzfmT/CgV3jQXWGf+fhM7xx/BD/y4/+AvbfNtyJsDb5PGJ8RsXi+rZmWRh/xg4o1wGu1gR31XT4wV1JuYooNoHfPV2K9jAXZ+KjADDnYEXGIaaLaE7EE56qb8fmS7SchAKqG2eSDL1/IVbRnnk9xDTfLJYxBTgomqsW6wjbcYGleTsfkwnjWOZzKqEtuidWdj9DIn7JzM/0EapksyQ2Y0Ik4g629PNl1EXjh8h8DeqItreoMBWTlaG3eFCe4SfLu3i2msEPGnEc0Ewpwk0X1Eouf3aI+kph+QoS10ZcLZUD/EFMdzlYQBUx7eEIBZ3r7W1+pkzG3dwn3X1xSXAoPIhkGDSTcxXUtUE8N/DfaPE7X3wPp+0Uj1d7GBYt+u0EZlBwdzt888ETvP3ZbdgxFa7E/M/+9G5MhZPpqLMXm1jitPBjNIC3YCVAhoVpY2Q25fLJeCsmqFRFlUi6adTIxY/j+X8oOBaUfFdZBqsi3WXTRRrVKcVSOULn3BSA0vR7GB0QLswwU6m4Ff6O6Ok1c3uksNeOUIc8IqDv2R6RG2B5SXsnihWhklCEaPgik5TNABQuJghaVlS7SUyIixQP/R6Z3UjTUayoQen2FdpvbvHvfuP7uFdcoNY9frJ9gD9dfgE/fPwQ3aMplFf4Z/ZrtHhq0ePLt17i92/+GCd2iY+6E0z3O/ze8c/xrF/g/3n+JVy8cYLp45jsfd1IZODssMeNotxBIfxJsScFY1orzs9IlrBFC3QHhJ4AXFBKggY1lLsr0VODxxwKN1HoSyTFiCiSBHUlxCRvQJQxg5wnyVWi/BJvDSkqZEHav5y4aXsh/d5QRh47ReIbjMhmWc61cCLI2I3ev6upuAyGRljlNRCeW/zTJ1/C/oMtfvngEZ7emqO7XsD+4aOvwrw7wehlZKgqO6IJ3E+wxA7rG0hyMoJx6Bu4ucfReIuv15/hFXuNj7obqKshwZ3Kk92lEPjKdWREgR6or8gljry4RVIHTq7cKW95YQ1/Udm4JjNV5WIqKMRHmiR1mdhCbQMSWW/1QNi09HNFfiSzc/F+F/hnmJOhBi36YVkOB5Bymbv0fk+R9McCrmbmtSVJR3WOBNPLDEjMf1RkMo4BFCMOibTUhlTNCrIgh4jgn4hipfHR9ggv/RarUKBQHg+LC/yhG+Gd9+9g+kHBpjFAKC3icoTOAL0HfnjjGNvvFvjNgw9x4Sb49vhTnJRLgooN6fGra6SOpzkwBKtbwFUU3MpLSvCiUbZNhNogPVM3VuiMQj8znyNZJf+GKXW+w4RUJ0LElPW4xYagWzfN71Q5QDeUpKSTiBZQLPmrz+n8NEf8Wcu8K6DjAqu6pPMSCuI4xBV3P9sIxIhhbJL00FqgugocXKjy93xeoIDNXTDzPhc+wVKRVl+QI+Duwin5LIHJqcRqps5BP6I/t72p0B4Bh/trHNslHo7Psd0v8TEOcHJ3jcEbPD1fYLOqEb1C8XCDLmhoE9Bf1jBrcvHrDz1mt1dAU8INBovFFk1XkE33hir/WBF+qteWuvWTAbryKAqPfltg2ANQBpixg78qMXpm4csI95Utvn73Cd47PcH2xQT/9+NvIpYBxV6H0ahHvxjg9iP0yxIfvvUqKlbnkI4e2N4OKK94L0gUTgm7RBYcsBvAOiRUJRqCi+uL3O0GS+OWUFAyGF0EtHusgzfZBnu8pYKrvvJo9wz5MUwV+j0m0G2zFLW8ogDbHioMlsh2A3t5SEzLhSeT0Rg5aA/pXBZr7tz4zxfrmBZCkXMcnyfF6NUOt8mzO53uKEbZjTQR/Ln2VSpiBPUSqWEysZK5dsvxhWONmAyVy7wYzY2pcRpmCs3rDf711/8UX6qeUzJFxPkwwT99+zVMf1Fg4mkjKAJQv7Awn1p89uZD/Gdfu4n/8Ff+L/ze9GcYosZMD6gU8LA+w39x/btoL6ek1mEuRbFBkmoKpG99lv52N5GaLMNEP5EHi0LBV2wFrgjhMO3On1U0khF5IkDPNSq55/weShml8b0W/gRLu4V8bnrKY7aJ6PZ06uBVAOCIDyKxTRo+8ChA/r4Yp+keiY+mLABPCIgox6SBkZ9lG0r6w1SlXT6Je8L8Lc9KtvoKuDSH+NH8C/i3bv+/qF5x+PunvwG7fncfo1UmTckO5fo8f0BXZ1/sZC5R5MNeLmnJguoVHs7O8ZXiGk99hX9x/QUsn88wZWmLG1EAt1vAsveAHgDP8Li8WDGNEc9kIcdIpQRDD0fY6trHDL0HJmCMWBPKchUy5MkbC0XTXW5o7ie2kDLH231pu/p0gqMye1/sbH1Nl5AkT/yClRga8YvtVZK1RAMEIW5wtSiWpe1h3kQmFatyMmsmy1fRlqtIBVFU4h9OVeaffPgQ/2DxDfzO5B08dwucujkOyzXsbEAoikTYEzcpWWwRzzQ+vjzEd/ce4VcmH6KNBd5e3YG9MmTawdwHuWS2jdj7RQ83sVjds/AFe51X3DmvY0I3xOkvbVYU6FXmY0LmWQLlUqWxguLvrxwhCd0+PWM3JdKj3bKREhelpqOu3rYEtRKhhotb5igYkTPx6tpkfuKBcit75Bni31doDzX59q9Jk7zLhaguaTPaMFXY3iRny6Q2qWWMQe+qOVJojlTaZiZ/CY+GdonLc6LPLAG+O4iYvXaB7558hj9avo5HzQGu+xrL0yn6N/fRHXvM7i7RGYvuuoYfDEJjgQhMTjYY9g366wr2ymL74YIK92mA2ovo1hVM7eCjgj0rUH9qeO4qYx4LP1PoQ8GyyQg4jfiiRtFl86G9SYvLbozD6RavHp3j4eQc/+jPvg39/gTtVyO+fP85ni3n6D6pUF1m0xrliYlut5rHNNJ97zwfRi/EmEruJJn6cMHQInf13HUPk4zOyNIg0yBtqAsFF6NW8bpW8oDXnQLGwFBEbCeBFhx5ICpWFG3IBM2wmY00FIRgUXMjLpcq5phjGvr/shyoXzAheSD2+66baGpuWBmUFFAM7yb4l9EDP1LZ76JHkgSLVbHIHaXACFZiGtJGPoDibnVFz8+NFDZf0Xi1eoFDvcFd22AVNG5W1zCTAa4uCAUFo0EdvQc3AsrRgBAVnvsp2lig8B4/be/hv/3geyh/PGX5H0B6OpXURG5CDVQoYmLpSxKPFNaZn7Oz/G1GREFxM61YCaJ4VEN+AYTmBcN7DGS2H6kBJlfFmEiSvhKF0ed5ZWrn+YtNvekiaiZMRw3yXhCSOsspwYRlMdkKBolPZ1gFF0z+rnKOxbtAxl5yN8iQTv4sLykzAJCJzb6mwm7yGHj7nfv40fyL2C82gI6w9alKLzky1CKyKESZUYI2snUAeZXHvHudffGpC4x40czxg+Ye3tw+wJvP7qB+TlKi9oC77CoiVAoDy898TQEz8DKW8jJX1MEABc/D3ESlIEB7lumCQdGDLtqYxhShowMi6gLxQvZWpSQTLMOJ4Msih4svj+4zJCPjBlnAoRxdOIGMhllgGJv3aLMWlRab5I1XSUZT7MyYekAWWNA/U4nfkKrhkC+ssIwFotvdUCYywnIZod+s8XfDb+PiWxP8yuRDbEOFhWnwvYefYHu3gNUBH1wcoXcW27aAuyqhbm7wVx68h4f1Gb5UPcexWeGT4Qh//uweqksiYAKsMeZlJcoDm1ujtNWOCI8qIURQiln5gOctkNHwQWZ2N83bgdHzkOBa7Vmfy2qKYIBQkb2sbGQk9zlhyuZn52s6j8U2oj6jYslumXxX09+X4DtM6dkVK4b6xoRylOuIfsI8FEt/b/QCyZJZyJ9iKjPMsnogbDMcLIQdWT0N8OfT9M/KpUoOmFHGVXyBA4807JaJPS7i8ukCf+xfwagccHE1RbgsUV5qdMcef+NX/xxXwwh//NZXoBtDS35qj+g0hsFgPmmxBBDPLMZPNbp9QJUKV4/2UKw13NjAdJpJjjR3lHsxe6SggoWr2b99LyYnMtMqBCa5bZoSISpUhcN7z0/wbjxBsegQFh2GixrvXd7B0d0r7P/qM3x68xgHb9ikt4+Gx2rjrDgpVjElMpHm0dhHAnduTMp1fjcAki8HjQuoytMXOWGIPFTWest4s1gpVJcms+y1gttmuak0ERI7CiYGhjLLVbWj2EZFYkyzaF+yFLBEMpJRDqjP6Cy6WeRzxGPKmBN+sUbqXMvlDlm0y3FFD1J8shlZQYlAJIXy74iaoVzRKHaYK7QHsgVUQTs5wzzzvijwwi3wVyefYhOA0zDGg/IM37j7BG+2D6CvKc77eUC4M8CWHnU14Ddvf4LvjD7Bse5QK+AXboofr+5ieT5BXQHrOyotvRqm9Nnqi8hGQTTKiyom/pNpAZtQaHqe3SIrZsolNXr9WLF0lJBaJ/4jldrhGkisoOflmQBLcT3SK+Y9K5Tg6X0WayYsznhExegokMmZCcEuc3MBPoYiaZdmRxK9EL6hCHUQu2MpFoUnlT9j/o9tOOeJhH1HaWF2SKnVC4vvv/gifvX4E+wdr2FJGpd9ycHVVbBckYjMiolRAFW5YiSTZjIATEP/YxlGeNbO0W5LjNfkltbus8UlO9LBEMyrHbleqcDQWR9TJQNkQotlvoBUXv2CpFkAzVJ7oxKbPxUQMtvjubI8fJRZoyqVmRvxw+fvksiHNv883ctnlP8vwUcnD2cqSJAkOQJDim82GNaHfL8pjQTUEPPSD67YxbtaTDMEChIvcYG/hVsh3UC3T6tbJz+t8D+9/E38n6+9hn/1wVsY6x4H5QavTraYmha/tf8BXgxzPGn3cKu6xn6xwVj36EKBNpT4H65/Df/oj7+L6ceaZY4MkdtsnKMd0DNiUq4AdU3V9PhlgG0ChqnBMFLsOMb2slzQSAFjOpqh9jMmMwaC/7uFYoa8SqoDcRuUQCjmURIAko+CoQJv1w66XAUUW1n6wRr982z6AwBaswyIn6WrGb4v1M7lpvdGlXdE9PRnZG1psc2dn6tpplosKZmpoBJRVd7tMKECxAw0awWTSSng5bWo9SlwVRrc+8oVLtsRqrqHudvi+KsbvL73DPvFFs/bOfTEISgArQEqDwSgv6pwdlGjPmrQngxQsUj72j2oOKvODcPFEWEcEfcC5r8wsA2R6bp9ImIOC49YBagqIPQl4oTGW9AR7myEVRxhWdD/R1DQkwHjaQd77PGtW09wVK3xxtk9qJYuW4I0t5HZ55k1H62C03SmZEub3dLOBGFW0xIgdh4sKfGajjo6QeKkc5K9HNKVO02EXCF7Rk1z1m5MWxkTV+g6S35lxu5GNGulRBrhIpGkfaHSylriU6iEiBnujoXDYPle0WcGS1KpOBAESpICQt5GKEWOCjk5kuSL/rfdRozZet0XpO4QsqBwb3xBz4E6bSQOhaBoAp9rFzF5pPH3fv7reOVbp3hYnOG5W+DCTXF/cgl8EXDRoDYDvjx9iVoPeK1+imO7xCrU1ES4Kf6PF9/EO+/dxeixxd5VLrxk3CC+K2LcJZ2yxGAgz9iJwMiLvmyOxcEgkeq6fQoydof8LeRh8SkQUySSO6uk/JLmz9dIxE5JwvT38xkK5U5SD9kpV/ZAJORacpPNfz/JWRkBB48CxKRNPotIvWXsJfFJik2Je4ZH0bSZlAsa9leRPB2iwmGxwe/eew9WNg3tbsOLhgKSXDq7oYNGl1XxfJq6I2d45sCM9Fenp6hVjxfbOeJ1yZuOaLYpSVM2/alAVZfAVeSJrxK8pQJ1Rf2CCHyKyXUCvRBMQ5dSBZCRRqUSE9uJJlSzledAXbiSRRSKPQACLyzhIshsFYwH7CorBfxEtlPhc6scJYmFksiNxCHI+vxdkx5hdu8SToKh75fMc0qQ/bFor9noQSBwIeAFS4jEUADREjJhGoJmgwXcQM9x/ExheH6E/7H8HTJqudViPO4wqykCuaCxqIjR+8n2EL+4PMbZ4z2MPrMYv4i4sYqIJiTExdVkp1ouI0anoCQ/oZNlm5gITMR6tsk4SP75rnueCgJ/8Y4D0BhDDzRfL5cK/gVJ4yyvAU563XFGD0xHBCdfUHdVrGk00R6opEwQUpircrGrfXYfU8l2ln6WBNXReUhqj35Oha+Y95AWWzGsx57mln5Hsq2u6GxRZ0icBrulwLL6kgMCMP3EkhPgGlh86FFdOWxvsC1vrZhNTKOXkz9T+PSVffzBF3+My4HkFI82B/j+4y/CB43j2ZoST6cRpw7aBsRNCeUUwtxhVPVo3Qj9DRKcm85COwU39RgCMHqhUaxJPicmWpsDIn4CzEnoFfw0QpcefuGgenIbLC5s6p70mkYm2O8RBgPvNb5391P82uJD/OOXX8fV929isaI7jwK85RJpq6R4WQwTbkACd9NcHNHoLaYGYZhIwOeEfLUDvfPMX2R3AplGZHQvMBpXrCPr8hXqS/J4UCEToNMYEbkjE7WUq1mBACRnT4FtxetBbLCTFE4pIEboPsKoLHkcZkBg5re4A9qGdn8Eo5gLxM+IR0bFMoKPBCW2QsF2ecxBxQhJF4V0l0i3A5HFLMdx4j0poKKzW2wj8MMZ/v3Nv4bfee09vD59ipb5RfcnlwBorj/WPV4Oc7zV3EOlHB5UZ/i4O8Y/+MUvw/90ganA6YaQNd3T70woyi7Ezu+kvOIxJSdjGfdQrARiRe84MrxOSLMUdBHtEZHVhVFP70+lpJlGSZudZpYVRMUGiTwrHiCCjgtc7ybcPPRUaImyTH6PjDlFRSSETynykxw05nOlPDBInApIjanwpCT+F2uFwBwP+dy656KWmwxxrnQThe7mgHEx4NqPMEQDK5KCZJvLVStZEqpUHETNXbmSXy5VOx9ko2BvbHBSrrANFWZlC+VUWssq0LvosoVHoHuVKiSZS9PcQqpnvrANQ8mzPANEBLSiw7r7+aMiE5oElfDMeahlRk8dcpIO7VRTaWOTzkQ3ebkAvexQUgJIsD2bMeya4sj3Edcq+T3JhEMOAI1oISuSQ8f77BXPb7jLLjpg/IJY/qEghnzvSMoE0BiFNkXR7/Y1ABk5cCU5eq6hnowRMcZlRd8lGuBCAR+pe2mt76JFsiVuD8jUZjx4hEKjm+eRhi+AqEiP62rFTFmVOCPVVUR1HWA6ndAM2b+NSJ242PXKpZd5p6gsVCToNhj6d4URLBW3PGcpMi3Dws0xeTwoR5Cx6QAM1EH2eyoZhNiWx0ELGcdkV0cnLmGBigw3Ulml0gF2zQurgEQcFGkZwJCtAUan9M5MS2dr+cWA+StXuFkOeP7JITkN8vx4/UDDNBV7e1P3NYyRELJuoTAMBgvT4HIY4w8/+ipiVJiOW4SosO4qKLnP1wXMjQbVnRWGwaBvCizXI9h5D6UihquKZIARQBVQnmyxGU1QnhlEG6EWPfzLEZHsBsA0Cu1NWtcLr6AAjA4aNNc1VG8xHDpUixbdskLYEnlDn9Kmwv58hjfsXXxn9gh/+ehd/OSV+7A/KyD2rr7YaUI48QvyJXequoyp4/czAJrUIbanBkHuWDCEpBQbwKwZmXEKWnNxuJHBOT3z6ooKwW6PumhpCmR9MKDygpo5I0R6h0cS8h1OhLstklYcoHterDLXR2bYqqDfKSQzgGKEH0f0mrrc6oLOarGlAjv5m/CIoZ/nPQnCGZDFV7JhldQDSHcNoAJPrH/thgr0knfbu46RmFm25zUdMH+rwp+88w38f/U3MCwCSVjnBPkbG2AtfZHtuqJNjw1tpitWCtUSjJRlgqMSUp10x4pzhGOQMGTkGUB6TtHk//iS3i8AwNKdHjTHAq+SpTtJLPOIVaB3QviycyJB6qzrHxQsj+Z8HYEtbbQUmR7JvVXy9R+mCkrl9yB8MDnD8vmTkRDnJ7sF0MtcH2nJnaCXu2Mgijc7zWWk/BMNxx5GTJyQSCPF5WgAe2Xx6OUBbo2XuD+6gKVFJxG7GsVdVypJQvJhdQ8ogzQLcyNKjsMUKEsPrQIK5fFouY/Rcw3b5opLBZo39QuVHjzAwbvIXbHM/KT6l8skh1BIFakbYOh3SFI9eiBWEhnP44X1KZ9bChJocBenUG7zPEYrpMOTIJuY18AmtzIOotHlFyJjA5F9eJu/mxDEIpMZI8+i9IqlQlYlOaOQVILNy0QiQ9Jp/h+Zrcw8jfI6olxTlpbETN87a9lJz63SjEqFrJ0n+RMR0PyInuX22ND8m130BE6VZwouxJxwRwpytdODSTAW2X2qBL1pl2dukjQDzyxpJpdnq9qptN/dFzmQmDYm/e0wRoKIdQ+UO+ulh6lCz8+rWAPdgj6jk27OZ47FMFHp4mlOSrvjIlKGINmvVtd57bLuAT+hs1ddkaFIczMmEm1UQJg7rNYjXJ8vMH5u4MYRbhrhFMHaw8KjjYAaNKAjGfB4BQQFe7LFbz38CK9UL/H33vs1jL4/w+phxJUdo7q3Rq8MYgQW966xen8f/sUI60lJiICJ8EVAvejQriqooGjV8YWGn2g0p2O6y/MA3Wj42pCWfhRhtpk8FjUAp+AvKzhTQm81yqWG7xT6ZgzbaEQb4ace0fFq0h5YP5rjvx7+Ih4cXuDOvXNcfHoT9RnZKUO6GL4XholpxYrerxi+dAcKzY0Ac2tLxkZvzViatZMkYpb/UQJWyUXS13QWpIuEYh8HDsjBAMWQ70DBFsJSYIqlbpIKG07Oq8jNkUqFv/KAZuWCLEZSnuKnXSPZhJs2b+oEOK6tVfIzkDGGr7KkzdUq+cZLgyWwsXiIaAe4gqycyQ1VOkSxniX5n/Z5JNHN2K1SxnMtxQWSMSMtUiNljaYYHg1Ebk1JL2JupDihBVHiXyDsdeUAK8mwQHJwRKRGTfFIVsbEUhwA5KgqKJpqKQELP0zyVrkE80Ni3iXDcR8Q0iPSSFkLL0IRB0QFQGnifEABaCk/iHzPNkA5ZJJsMuPhnCQIwjBDknqLPX00VPTJGdlFNBIvzDMiIYUO5yIvShhGlvo5xQaxyxbyuBSlST22JaSlugS6qzH+RN/HV3/pOSx4RiWXQSpdL/MNga1bUGUjAZulEWT0AmweOPwr99/HX5q8i+dugdJ4XE8ZTuMEHCzQ3eS5nKXDLbNdV7Lrls+JXkhwYp8pHYJ2vHmP4ZDktsTJPRQ8O+MOAUDa+y0HRBK0uAcWS5XNHdoMqexCdklDKnPFIIeWWfs1EC0vK+L5sFR+5Yp+Vz9XcDN6xsWa4B3bIB1grzNTXeAoqdJ3d2v3ezEFVoGjxEYXCmw6wkFvxDKXDb9kjSSrlJGPdNOJdeoiwigHJJq1qTTukGcVI3XHQZOnuRy4YivJmgk6nCwFfjVDTNCmLxWsFJv8Z1WMSbsN0PegThip0FGBx0cdST9r3q4okKsvgcCBRdixwmyXcxYYjVI+/31Z3BQtECJv9HL5fghhibgpSO6GYpolGwLX9yhZkfe+JCf6Ob4xsI3mcZFCvGDGsAeU0zuzRmB7J6C8s8GDwwt8dfECf23xE+yZLawJ2NxlDbNX0DrCeU33N9JiHt0qhDGtBK0u2db1ooDlDmWY0jMsLwy7kkWEOsB2BqoxGI4c9NrQwqwIWi7kgNgZRM3qGsfe7RrQHTHlQwXojSHuR0kcD2igvajxKQ5we/8azV0H5W0y+Yo23y3p/vsFo1wBiIeEdAGA1hH9yzHmS36/Lgf1MKa7IclR9xTPbEudbvIQESh2BwWUOxAVFwuTf2ld7D53/RGZJMlE5WQJvcqk6t2Nn1IoiEWtaZCMgiRGRkujR9PTyMd0BPsDdFe6hUn+9VkKt/M7thHG0rMWVM20hBCIAkeXNHITV9Fgst+CuCKKMysovDGJOsefUAKxROL0yKw8KG40uEGzLYBzndBcNyJET8yIhiky+sH3y/Jz8WXuXKWRkln2MNlp8DzIAz/mIluzHNyNVOKKJPKk5iK+y3s8oGjsFIqdNegVNSKSL4QHJwvHwAiLG+XYIZ2//D4prMSqF0ElxViS/QX6vDQ2ZsSlpp9VrvLiNd3mBtJNwF4pgpQio8qG4nKSORZ83teEljUnQFU5VHqAlcpYbF5lIxsiz7vZzQgKAAfHRBTp+bJWgJ4P+KXxU9TKI0Cj9yZ1ggJfyBcm2Bq5Aw+AMSqZlUhykYTrdw47HbYdHSfFO6qieJ5i+kyGEZa34guYuAVStUXpRpHgHzmIMrezSw4MFRKZMBRAFHIgJwfdA6rdWa/Zqc+RESV5pWpwlKvaNOvrqXMUop3peJUwL06S5yGyRvncKZiFXLyIS6NhD3EAiBUHsyGyVAlw7H9fLWlZU7uvaaSziWkuJegPVDaa8IIeOCogxYcAEWmVr+j+pbIF6PMOReZ6AEKMiig0vV+R1qSAUwCopUCMfJEVrJOAzGS+nhQqxuXRgMyW6XLGTAJkrgidE5XOtVwcOfeiWqCthDEhH8TipWK0PUYeK2wJ/ehf3wLnFcqlpi18BZ2J6nGBYq3YBQxphWySv5UgDfGG1hsXKwX99hTPpjO897Xb6L9l8R+c/BP8x7/0j/Gf+L+B7csJvZfrGug1ikuLTVnR3Sgi9Nihuw34kU2LeaKNMCvNAYx3YgReq7wlOMZVAar0UMHQO1uEFAegadmIH3vyuFCWEv84IDiFOPZQpYcLCmgMMI6wVxZ+DMzGLS63IxSXJo3NpNORjlr7jLCR8Q6wveWB+YC4teifTVBe6TQqUDwnDQZpS18ax6nMit5FGmOB5OM+zEBFjMQjL51cTO6j1GXzhrYqppEVxQniCtCOC0qwIeR770tBLTl29fyzHRWy3VxjezOmHSvVBY+WrELH51fse3UPYMojSuahqACEQCMDxQid3K1QqLRsRw8qKRSE/yV3QOLKrglcUjBtmITJ/zzNrWXsyc2guCZGxcWJJ/Sg2yNelVgKS/ylxiZ+jhPhuICTvQChjDCgxV7RULEoyT9y7hLnTvGqEQOhXcZ8e0SBNjn5mYzoUR5kU7VCgp68c+TxsgUG9g0QNJVyRsyM/Uql5yGFZSKT9kDcqtR4pnEzLzoSVQhA51mUahJvdM/+Np6bKtD3lXMki5ikSEWR810/Z/J2FXF/vsT3xh/C5hk7w9gcHO12J2moncQ5AI7JBbIdcH0MLOY0qHm7u4P//fRbOH22wHSlUCxj8oEX+AU8I5HODEZePpLrnkgZJPnsMjhDQWzqtN8+0mUQhq0gCFEDsc3dujDFDSda+f3i+BUZ2tl94KHIBYtwBBIqwfMqkb/JAYkmwoNNfjqV5pqi/xd/5+QDzTrxzIwnNqoYchCkIzLNnS56B4o0ni6RGzP64GPSHguvQSpENyZUYHe1rvJAd2DSd6DCiMcQO/N7OgeRrJVX9LtlhWqxQoIP6f1mP3M6L0jjm8TZQC46ZdGI4XMVLCEB4oxIVb2MNXLlZLlD1444B77SPEuM6c8K8RBQCZITqF86AiK7IjGvaSzGBYxnIxj+qz6P6Wz6mghUAvMClFzm0wbXQWG4GJHcaOEwRIXi0mQ0hMcq8v5FkirOiAIP6oGUFdUPLH7w7nfw1l+5jb/zhe/jD774Y/xg8SpGdsDgDd7/4Ba5Ql6RLXBUAJ7VMDqS81kE3NRDt5oXZQF+EuBvOKjLAsVSJyjWrAx8UAh1RKw8VBEQvYZeWkRwQbMxSQGgBgU45vx0Gtgauh91gGoMkVvHHr99+xd4Z3kTH2wOU+ErEPJuJylBWHgh1UsDnJkUoCU5CZdjGNPdri7ZDrYivw7yB6CuKykAgtyHyIEnnwEqErnzZ3lVVAo6xMQ6R1Qs/8xFm93mWXC3x6OCGD/X2cpdHObAAPpsxIKPCDUhNnZN/y5J4CTJA1DZpVGShMi/siKCzrgbxzRLli5UO5XGKgIhyxnP2vWc7ITbI0VUWrxWZPhcCjhpopLSohbEA2n0KUl/mEZW/3CsMhQwlM9KCEnahJzs+GYwghYVoFTmEkQbk1Ir8QQsmFAtcZLhcoeEiERL5DjNn4WWwjEirqn4cJENnXqkUWV1HRPpGGDkgAntoRD8Pf/leSmQFLOpCRWkhKWQghTKmNpN6DPqgQjzEpvpfUX4UYBd67QjRf4yPSEGxTJyjMux3vQKF80Yc9Xh/wfsz11r/rColwAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<PIL.PngImagePlugin.PngImageFile image mode=RGBA size=512x328 at 0x2C7C576D648>"
+      ]
+     },
+     "execution_count": 4,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "image = Image.open(\"D:/Lung cancer LNDb project/dataset/slices/coronal_image/1/LNDb-0001_294.png\")\n",
+    "image"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "image = image.resize((28,28))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "image = np.asarray(ImageOps.grayscale(image)).T"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "(28, 28)"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "image.shape"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "class data_loader(Dataset):\n",
+    "    def __init__(self, root):\n",
+    "        Images, Y = [], []\n",
+    "        folders = os.listdir(root)\n",
+    "        folders = folders[0:]\n",
+    "\n",
+    "        for folder in folders:\n",
+    "            folder_path = os.path.join(root, folder)\n",
+    "            print(folder_path)\n",
+    "            count = 0\n",
+    "            for ims in os.listdir(folder_path):\n",
+    "                if count >= 5700:\n",
+    "                    break\n",
+    "                count += 1\n",
+    "                img_path = os.path.join(folder_path, ims)\n",
+    "                rgbv = Image.open(img_path)\n",
+    "                rgbv = rgbv.resize((28,28))\n",
+    "                gray = ImageOps.grayscale(rgbv)\n",
+    "                Images.append(np.asarray(gray).T)\n",
+    "                Y.append(int(folder))  # Folders are A-J so labels will be 0-9\n",
+    "                data = [(x, y) for x, y in zip(Images, Y)]\n",
+    "                self.data = data\n",
+    "    def __len__(self):\n",
+    "        return len(self.data)\n",
+    "    def __getitem__(self, index):\n",
+    "        img = self.data[index][0]\n",
+    "\n",
+    "    # 8 bit images. Scale between 0, 1\n",
+    "        img = img / 255\n",
+    "\n",
+    "    # Input for Conv2D should be Channels x Height x Width\n",
+    "        img_tensor = transforms.ToTensor()(img).view(1, 28, 28).float()\n",
+    "        label = self.data[index][1]\n",
+    "        return (img_tensor, label)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 11,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "D:/Lung cancer LNDb project/dataset/slices/coronal_image/0\n",
+      "D:/Lung cancer LNDb project/dataset/slices/coronal_image/1\n"
+     ]
+    }
+   ],
+   "source": [
+    "train_dataset = data_loader('D:/Lung cancer LNDb project/dataset/slices/coronal_image/')\n",
+    "train_loader = DataLoader(train_dataset, batch_size=128, shuffle=True)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 12,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "D:/Lung cancer LNDb project/dataset/slices/coronal_test\\0\n",
+      "D:/Lung cancer LNDb project/dataset/slices/coronal_test\\1\n"
+     ]
+    }
+   ],
+   "source": [
+    "test_dataset = data_loader(\"D:/Lung cancer LNDb project/dataset/slices/coronal_test\")\n",
+    "test_loader = DataLoader(test_dataset, batch_size=128, shuffle=True)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 13,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "9kYuxPf-DKtl"
+   },
+   "outputs": [],
+   "source": [
+    "class NN(nn.Module):\n",
+    "    \n",
+    "    def __init__(self, input_size, hidden_size, output_size):\n",
+    "        super(NN, self).__init__()\n",
+    "        self.fc1 = nn.Linear(input_size, hidden_size)\n",
+    "        self.out = nn.Linear(hidden_size, output_size)\n",
+    "        \n",
+    "    def forward(self, x):\n",
+    "        output = self.fc1(x)\n",
+    "        output = F.relu(output)\n",
+    "        output = self.out(output)\n",
+    "        return output"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "LRj9L274DKtq"
+   },
+   "outputs": [],
+   "source": [
+    "net = NN(28*28, 1024, 2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 15,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "iqwMEBW2DKts"
+   },
+   "outputs": [],
+   "source": [
+    "import pyro\n",
+    "from pyro.distributions import Normal, Categorical\n",
+    "from pyro.infer import SVI, Trace_ELBO\n",
+    "from pyro.optim import Adam"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 16,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "MhgMX50fDKtv"
+   },
+   "outputs": [],
+   "source": [
+    "log_softmax = nn.LogSoftmax(dim=1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 17,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "zeP4Kc2EDKtx"
+   },
+   "outputs": [],
+   "source": [
+    "def model(x_data, y_data):\n",
+    "    \n",
+    "    fc1w_prior = Normal(loc=torch.zeros_like(net.fc1.weight), scale=torch.ones_like(net.fc1.weight))\n",
+    "    fc1b_prior = Normal(loc=torch.zeros_like(net.fc1.bias), scale=torch.ones_like(net.fc1.bias))\n",
+    "    \n",
+    "    outw_prior = Normal(loc=torch.zeros_like(net.out.weight), scale=torch.ones_like(net.out.weight))\n",
+    "    outb_prior = Normal(loc=torch.zeros_like(net.out.bias), scale=torch.ones_like(net.out.bias))\n",
+    "    \n",
+    "    priors = {'fc1.weight': fc1w_prior, 'fc1.bias': fc1b_prior,  'out.weight': outw_prior, 'out.bias': outb_prior}\n",
+    "    # lift module parameters to random variables sampled from the priors\n",
+    "    lifted_module = pyro.random_module(\"module\", net, priors)\n",
+    "    # sample a regressor (which also samples w and b)\n",
+    "    lifted_reg_model = lifted_module()\n",
+    "    \n",
+    "    lhat = log_softmax(lifted_reg_model(x_data))\n",
+    "    \n",
+    "    pyro.sample(\"obs\", Categorical(logits=lhat), obs=y_data)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 18,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "NRcucbteDKtz"
+   },
+   "outputs": [],
+   "source": [
+    "softplus = torch.nn.Softplus()\n",
+    "\n",
+    "def guide(x_data, y_data):\n",
+    "    \n",
+    "    # First layer weight distribution priors\n",
+    "    fc1w_mu = torch.randn_like(net.fc1.weight)\n",
+    "    fc1w_sigma = torch.randn_like(net.fc1.weight)\n",
+    "    fc1w_mu_param = pyro.param(\"fc1w_mu\", fc1w_mu)\n",
+    "    fc1w_sigma_param = softplus(pyro.param(\"fc1w_sigma\", fc1w_sigma))\n",
+    "    fc1w_prior = Normal(loc=fc1w_mu_param, scale=fc1w_sigma_param)\n",
+    "    # First layer bias distribution priors\n",
+    "    fc1b_mu = torch.randn_like(net.fc1.bias)\n",
+    "    fc1b_sigma = torch.randn_like(net.fc1.bias)\n",
+    "    fc1b_mu_param = pyro.param(\"fc1b_mu\", fc1b_mu)\n",
+    "    fc1b_sigma_param = softplus(pyro.param(\"fc1b_sigma\", fc1b_sigma))\n",
+    "    fc1b_prior = Normal(loc=fc1b_mu_param, scale=fc1b_sigma_param)\n",
+    "    # Output layer weight distribution priors\n",
+    "    outw_mu = torch.randn_like(net.out.weight)\n",
+    "    outw_sigma = torch.randn_like(net.out.weight)\n",
+    "    outw_mu_param = pyro.param(\"outw_mu\", outw_mu)\n",
+    "    outw_sigma_param = softplus(pyro.param(\"outw_sigma\", outw_sigma))\n",
+    "    outw_prior = Normal(loc=outw_mu_param, scale=outw_sigma_param).independent(1)\n",
+    "    # Output layer bias distribution priors\n",
+    "    outb_mu = torch.randn_like(net.out.bias)\n",
+    "    outb_sigma = torch.randn_like(net.out.bias)\n",
+    "    outb_mu_param = pyro.param(\"outb_mu\", outb_mu)\n",
+    "    outb_sigma_param = softplus(pyro.param(\"outb_sigma\", outb_sigma))\n",
+    "    outb_prior = Normal(loc=outb_mu_param, scale=outb_sigma_param)\n",
+    "    priors = {'fc1.weight': fc1w_prior, 'fc1.bias': fc1b_prior, 'out.weight': outw_prior, 'out.bias': outb_prior}\n",
+    "    \n",
+    "    lifted_module = pyro.random_module(\"module\", net, priors)\n",
+    "    \n",
+    "    return lifted_module()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 19,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "Lvwj_4GZDKt2"
+   },
+   "outputs": [],
+   "source": [
+    "optim = Adam({\"lr\": 0.01})\n",
+    "svi = SVI(model, guide, optim, loss=Trace_ELBO())"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 20,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 154
+    },
+    "colab_type": "code",
+    "id": "Fj34GEy9DKt5",
+    "outputId": "49f5674b-e5f0-4e49-e2aa-44109c12497c"
+   },
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "C:\\Users\\LNS\\Anaconda3\\lib\\site-packages\\pyro\\primitives.py:406: FutureWarning: The `random_module` primitive is deprecated, and will be removed in a future release. Use `pyro.nn.Module` to create Bayesian modules from `torch.nn.Module` instances.\n",
+      "  \"modules from `torch.nn.Module` instances.\", FutureWarning)\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Epoch  0  Loss  5431.7333368339405\n",
+      "Epoch  1  Loss  4572.25124873096\n",
+      "Epoch  2  Loss  3776.817095738942\n",
+      "Epoch  3  Loss  3243.54556365559\n",
+      "Epoch  4  Loss  2784.695349202046\n",
+      "Epoch  5  Loss  2419.3153816012227\n",
+      "Epoch  6  Loss  2168.4220722394816\n",
+      "Epoch  7  Loss  1865.3435167768755\n",
+      "Epoch  8  Loss  1642.5269223648206\n",
+      "Epoch  9  Loss  1429.9436790759416\n",
+      "Epoch  10  Loss  1239.5097343237044\n",
+      "Epoch  11  Loss  1127.5936301730076\n",
+      "Epoch  12  Loss  997.2058628481103\n",
+      "Epoch  13  Loss  872.8177549191735\n",
+      "Epoch  14  Loss  784.8013136018682\n",
+      "Epoch  15  Loss  702.1630553113368\n",
+      "Epoch  16  Loss  624.0384406096475\n",
+      "Epoch  17  Loss  553.0710016017944\n",
+      "Epoch  18  Loss  512.8227138399033\n",
+      "Epoch  19  Loss  476.0411358233711\n",
+      "Epoch  20  Loss  413.37710304432795\n",
+      "Epoch  21  Loss  399.46764685558645\n",
+      "Epoch  22  Loss  371.9033468466579\n",
+      "Epoch  23  Loss  340.9355929585716\n",
+      "Epoch  24  Loss  340.0962623456905\n",
+      "Epoch  25  Loss  341.2014549102595\n",
+      "Epoch  26  Loss  305.8591505401072\n",
+      "Epoch  27  Loss  272.6115351719292\n",
+      "Epoch  28  Loss  265.0463573005116\n",
+      "Epoch  29  Loss  260.5563023234041\n"
+     ]
+    }
+   ],
+   "source": [
+    "num_iterations = 30\n",
+    "loss = 0\n",
+    "list_epoch = []\n",
+    "list_loss = []\n",
+    "for j in range(num_iterations):\n",
+    "    loss = 0\n",
+    "    for batch_id, data in enumerate(train_loader):\n",
+    "        # calculate the loss and take a gradient step\n",
+    "        loss += svi.step(data[0].view(-1,28*28), data[1])\n",
+    "    normalizer_train = len(train_loader.dataset)\n",
+    "    total_epoch_loss_train = loss / normalizer_train\n",
+    "    \n",
+    "    print(\"Epoch \", j, \" Loss \", total_epoch_loss_train)\n",
+    "    list_epoch.append(total_epoch_loss_train)\n",
+    "    list_loss.append(j)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 32,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 432x288 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "# summarize history for loss\n",
+    "plt.plot(list_loss,list_epoch)\n",
+    "# plt.plot(history.history['val_loss'])\n",
+    "plt.title('Coronal Image model loss')\n",
+    "plt.ylabel('loss')\n",
+    "plt.xlabel('epoch')\n",
+    "plt.legend(['train'], loc='upper left')\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 22,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "DXonPMG0DKuB"
+   },
+   "outputs": [],
+   "source": [
+    "def imshow(img):\n",
+    "    img = img / 2 + 0.5     # unnormalize\n",
+    "    npimg = img.numpy()\n",
+    "    #plt.imshow(npimg,  cmap='gray')\n",
+    "    #fig.show(figsize=(1,1))\n",
+    "    \n",
+    "    fig, ax = plt.subplots(figsize=(1, 1))\n",
+    "    ax.imshow(npimg,  cmap='gray', interpolation='nearest')\n",
+    "    plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 23,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "4xgqDdSaDKt_"
+   },
+   "outputs": [],
+   "source": [
+    "classes = ('0', '1')"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "fv4XtaSCDKuD"
+   },
+   "outputs": [],
+   "source": [
+    "num_samples = 10\n",
+    "def give_uncertainities(x):\n",
+    "    sampled_models = [guide(None, None) for _ in range(num_samples)]\n",
+    "    yhats = [F.log_softmax(model(x.view(-1,28*28)).data, 1).detach().numpy() for model in sampled_models]\n",
+    "    return np.asarray(yhats)\n",
+    "    #mean = torch.mean(torch.stack(yhats), 0)\n",
+    "    #return np.argmax(mean, axis=1)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 29,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "qi0AQf1QDKuG"
+   },
+   "outputs": [],
+   "source": [
+    "def test_batch(images, labels, plot=True):\n",
+    "    y = give_uncertainities(images)\n",
+    "    predicted_for_images = 0\n",
+    "    correct_predictions=0\n",
+    "\n",
+    "    for i in range(len(labels)):\n",
+    "    \n",
+    "        if(plot):\n",
+    "            print(\"Real: \",labels[i].item())\n",
+    "            fig, axs = plt.subplots(1, 2, sharey=True,figsize=(20,2))\n",
+    "    \n",
+    "        all_digits_prob = []\n",
+    "    \n",
+    "        highted_something = False\n",
+    "    \n",
+    "        for j in range(len(classes)):\n",
+    "        \n",
+    "            highlight=False\n",
+    "        \n",
+    "            histo = []\n",
+    "            histo_exp = []\n",
+    "        \n",
+    "            for z in range(y.shape[0]):\n",
+    "                histo.append(y[z][i][j])\n",
+    "                histo_exp.append(np.exp(y[z][i][j]))\n",
+    "            \n",
+    "            prob = np.percentile(histo_exp, 50) #sampling median probability\n",
+    "        \n",
+    "            if(prob>0.2): #select if network thinks this sample is 20% chance of this being a label\n",
+    "                highlight = True #possibly an answer\n",
+    "        \n",
+    "            all_digits_prob.append(prob)\n",
+    "            \n",
+    "            if(plot):\n",
+    "            \n",
+    "                N, bins, patches = axs[j].hist(histo, bins=8, color = \"lightgray\", lw=0,  weights=np.ones(len(histo)) / len(histo), density=False)\n",
+    "                axs[j].set_title(str(j)+\" (\"+str(round(prob,2))+\")\") \n",
+    "        \n",
+    "            if(highlight):\n",
+    "            \n",
+    "                highted_something = True\n",
+    "                \n",
+    "                if(plot):\n",
+    "\n",
+    "                    # We'll color code by height, but you could use any scalar\n",
+    "                    fracs = N / N.max()\n",
+    "\n",
+    "                    # we need to normalize the data to 0..1 for the full range of the colormap\n",
+    "                    norm = colors.Normalize(fracs.min(), fracs.max())\n",
+    "\n",
+    "                    # Now, we'll loop through our objects and set the color of each accordingly\n",
+    "                    for thisfrac, thispatch in zip(fracs, patches):\n",
+    "                        color = plt.cm.viridis(norm(thisfrac))\n",
+    "                        thispatch.set_facecolor(color)\n",
+    "\n",
+    "    \n",
+    "        if(plot):\n",
+    "            plt.show()\n",
+    "    \n",
+    "        predicted = np.argmax(all_digits_prob)\n",
+    "    \n",
+    "        if(highted_something):\n",
+    "            predicted_for_images+=1\n",
+    "            if(labels[i].item()==predicted):\n",
+    "                if(plot):\n",
+    "                    print(\"Correct\")\n",
+    "                correct_predictions +=1.0\n",
+    "            else:\n",
+    "                if(plot):\n",
+    "                    print(\"Incorrect :()\")\n",
+    "        else:\n",
+    "            if(plot):\n",
+    "                print(\"Undecided.\")\n",
+    "        \n",
+    "        if(plot):\n",
+    "            imshow(images[i].squeeze())\n",
+    "        \n",
+    "    \n",
+    "    if(plot):\n",
+    "        print(\"Summary\")\n",
+    "        print(\"Total images: \",len(labels))\n",
+    "        print(\"Predicted for: \",predicted_for_images)\n",
+    "        print(\"Accuracy when predicted: \",correct_predictions/predicted_for_images)\n",
+    "        \n",
+    "    return len(labels), correct_predictions, predicted_for_images \n",
+    "    "
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 31,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 138
+    },
+    "colab_type": "code",
+    "id": "mIumYp87DKuI",
+    "outputId": "b9f41f53-5535-42ea-94c3-44ab7b11d06d"
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Prediction when network can refuse\n",
+      "Total images:  78\n",
+      "Skipped:  0\n",
+      "Accuracy when made predictions: 100 %\n"
+     ]
+    }
+   ],
+   "source": [
+    "# Prediction when network can decide not to predict\n",
+    "\n",
+    "print('Prediction when network can refuse')\n",
+    "correct = 0\n",
+    "total = 0\n",
+    "total_predicted_for = 0\n",
+    "for j, data in enumerate(test_loader):\n",
+    "    images, labels = data\n",
+    "    \n",
+    "    total_minibatch, correct_minibatch, predictions_minibatch = test_batch(images, labels, plot=False)\n",
+    "    total += total_minibatch\n",
+    "    correct += correct_minibatch\n",
+    "    total_predicted_for += predictions_minibatch\n",
+    "\n",
+    "print(\"Total images: \", total)\n",
+    "print(\"Skipped: \", total-total_predicted_for)\n",
+    "print(\"Accuracy when made predictions: %d %%\" % (100 * correct / total_predicted_for))\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {
+    "colab": {},
+    "colab_type": "code",
+    "id": "3BhqtbRbDKuL"
+   },
+   "outputs": [],
+   "source": [
+    "# preparing for evaluation\n",
+    "\n",
+    "dataiter = iter(test_loader)\n",
+    "images, labels = dataiter.next()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 30,
+   "metadata": {
+    "colab": {
+     "base_uri": "https://localhost:8080/",
+     "height": 1000
+    },
+    "colab_type": "code",
+    "id": "rfI63aVZDKuO",
+    "outputId": "10bace9f-195e-4636-f32e-28f17ff307dd"
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAABIEAAACcCAYAAADoMbuXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAWC0lEQVR4nO3df7RdZ13n8feHZDVlFUqLCYMkjQnL1CFEoRhLHQZFKCV1zUp0RFfrIGXsIgMz0RkRNZ2Wgq06UHQxztgZp0oHyhrpFAXMkkBBBZe6DDSVFpOWYIgyvRQsP0qlQtsJ/frH2VdOTs+559xzz83JPfv9Wuuu7P3s5+z9PPvZZ9/v/Wb/SFUhSZIkSZKk2fa4aTdAkiRJkiRJy88kkCRJkiRJUguYBJIkSZIkSWoBk0CSJEmSJEktYBJIkiRJkiSpBUwCSZIkSZIktYBJIEkTlWRrkoPLsN41ST6Z5CmTXrckSdJKl2RdkiNJTp/weo3BpBliEkjSgpI8Ocl7kvxDks8k+fEhH7kW+NWuz+9JcjDJw0neNsL2fibJ55M8kOTGJGsAquph4EbgF5bQHUmSpBVhsTEUsBf431X1UPP5NU0s9fdNbPWaIdszBpNaIFU17TZIOoUleSedhPHlwLOB9wH/oqoO96n7rcBh4GldAci/Bh4FXgI8vqpescC2XgLcBLwQuBd4D3CgqvY2yzcAdwDrm4BEkiRpJi0yhloDfBZ4dlXNNWX/BfiXwE7gqcCHgVdU1Qf6fN4YTGoJrwSSNFCSM4AfAV5XVQ9W1Z8B+4CfGPCRFwN/OZ8AAqiqd1fVe4EvjbDJy4C3VtXhqrqfzlVFr+ha1xxwP3DBOP2RJElaKRYZQz0X+Mp8AqjxcuDaqrq/qu4GfouuuKqHMZjUEiaBJC3kXOAbVfWprrI7gWcOqP+dwJElbO+Zzfq7t/XPknxLV9ndwLOWsA1JkqRZc0IMluRs4Gk8Nq4aFMMZg0ktYRJI0kKeADzQU/YA8MQB9c8CvjrB7c1Pd2/vq812JEmS1NEbgz2h+bc3rhoUwxmDSS1hEkjSQh4EzuwpO5PBiZ77GRxcjLO9+enu7T0R+MoStiFJkjRremOwB5t/e+OqQTGcMZjUEiaBJC3kU8DqJFu6yp5F5+HP/XyCzi1k4zrMiZcZPwv4u6rqvhf+GZx4ubIkSVLbnRCDNc/1+RyPjasGxXDGYFJLmASSNFBV/QPwbuCaJGckeR6wC3jHgI98CHhOktPnC5KsbuZXAauSnJ5k9YDP3wRcnmRrcy/7VcDbuta1HngycGCJXZMkSTqlLTKG+hhwVhMrzbsJuCrJ2Un+OfBKuuKqHsZgUkuYBJI0zL8HHg/cB7wTeHW/18MDVNXfAX9MJ1E07yrg68Be4GXN9FUASTYmeTDJxubzHwCuo/MK0880P6/vWtePA2/31aSSJKkFBsZQvarqETpJm5d1Fb8e+DSdeOpPgDfPvx7eGExqr1TVtNsgaYYk2Qq8HTi/JniCSbKGziXI31dV901qvZIkSbMgyTrgT4HzqurrE1yvMZg0Q0wCSZIkSZIktYC3g0mSJEmSJLWASSBJkiRJkqQWMAkkSZIkSZLUAiaBJEmSJEmSWmD1tDa8du3a2rRp07Q2L0mSltntt9/+xapaN+126ETGYJIkzbaFYrCRkkBJdgC/DqwCfruq3tizfCOdV0Kf1dTZW1X7F1rnpk2bOHjw4CiblyRJK1CSz0y7DXosYzBJkmbbQjHY0NvBkqwCrgcuBrYClybZ2lPtKuCWqjoPuAT4H+M3V5IkSZIkSZM2yjOBzgeOVtWxqnoEuBnY1VOngDOb6ScB906uiZIkSZIkSVqqUW4HWw/c0zU/Bzy3p84bgA8m+SngDODCibROkiRJkiRJEzFKEih9yqpn/lLgbVX1a0m+F3hHkm1V9egJK0p2A7sBNm7cOE57JUk6aR79/LnTbsKye9xTPzXtJugkMAaTJEkw2u1gc8A5XfMbeOztXpcDtwBU1V8ApwNre1dUVTdU1faq2r5unS8LkSRJOhmMwSRJEoyWBLoN2JJkc5LT6Dz4eV9Pnf8HvAggyTPoJIG+MMmGSpIkSZIkaXxDk0BVdRzYA9wK3E3nLWCHk1yTZGdT7WeBVya5E3gn8Iqq6r1lTJIkSZIkSVMyyjOBqKr9wP6esqu7pu8CnjfZpkmSJEmSJGlSRrkdTJIkSZIkSSucSSBJkiRJkqQWMAkkSZIkSZLUAiaBJEmSJEmSWsAkkCRJkiRJUguYBJIkSZIkSWoBk0CSJEmSJEktYBJIkiRJkiSpBUwCSZIkSZIktYBJIEmSJEmSpBYwCSRJkiRJktQCJoEkSZIkSZJawCSQJEmSJElSC5gEkiRJkiRJagGTQJIkSZIkSS1gEkiSJEmSJKkFTAJJkiRJkiS1wEhJoCQ7khxJcjTJ3gF1fizJXUkOJ/mdyTZTkiRJkiRJS7F6WIUkq4DrgRcDc8BtSfZV1V1ddbYAVwDPq6r7kzxluRosSZIkSZKkxRvlSqDzgaNVdayqHgFuBnb11HklcH1V3Q9QVfdNtpmSJEmSJElailGSQOuBe7rm55qybucC5yb58yQHkuyYVAMlSZIkSZK0dENvBwPSp6z6rGcL8AJgA/CnSbZV1VdOWFGyG9gNsHHjxkU3VpIkSYtnDCZJkmC0K4HmgHO65jcA9/ap8/tV9f+r6m+AI3SSQieoqhuqantVbV+3bt24bZYkSdIiGINJkiQYLQl0G7AlyeYkpwGXAPt66rwX+AGAJGvp3B52bJINlSRJkiRJ0viGJoGq6jiwB7gVuBu4paoOJ7kmyc6m2q3Al5LcBXwY+Lmq+tJyNVqSJEmSJEmLM8ozgaiq/cD+nrKru6YLeE3zI0mSJEmSpFPMKLeDSZIkSZIkaYUzCSRJkiRJktQCJoEkSZIkSZJawCSQJEmSJElSC5gEkiRJkiRJagGTQJIkSZIkSS1gEkiSJEmSJKkFTAJJkiRJkiS1gEkgSZIkSZKkFjAJJEmSJEmS1AImgSRJkiRJklrAJJAkSZIkSVILmASSJEmSJElqAZNAkiRJkiRJLWASSJIkSZIkqQVMAkmSJEmSJLWASSBJkiRJkqQWGCkJlGRHkiNJjibZu0C9lyapJNsn10RJkiRJkiQt1dAkUJJVwPXAxcBW4NIkW/vUeyLw08BHJ91ISZIkSZIkLc0oVwKdDxytqmNV9QhwM7CrT71rgeuAhybYPkmSJEmSJE3AKEmg9cA9XfNzTdk/SXIecE5V/cEE2yZJkiRJkqQJGSUJlD5l9U8Lk8cBbwF+duiKkt1JDiY5+IUvfGH0VkqSJGlsxmCSJAlGSwLNAed0zW8A7u2afyKwDfhIkr8FLgD29Xs4dFXdUFXbq2r7unXrxm+1JEmSRmYMJkmSYLQk0G3AliSbk5wGXALsm19YVQ9U1dqq2lRVm4ADwM6qOrgsLZYkSZIkSdKiDU0CVdVxYA9wK3A3cEtVHU5yTZKdy91ASZIkSZIkLd3qUSpV1X5gf0/Z1QPqvmDpzZIkSZIkSdIkjXI7mCRJkiRJklY4k0CSJEmSJEktYBJIkiRJkiSpBUwCSZIkSZIktYBJIEmSJEmSpBYwCSRJkiRJktQCJoEkSZIkSZJawCSQJEmSJElSC6yedgMkSZIkScvj0KFD027CSbFt27ZpN0FaEbwSSJIkSZIkqQVMAkmSJEmSJLWASSBJkiRJkqQWMAkkSZIkSZLUAiaBJEmSJEmSWsAkkCRJkiRJUguYBJIkSZIkSWoBk0CSJEmSJEktMFISKMmOJEeSHE2yt8/y1yS5K8knkvxRkm+bfFMlSZIkSZI0rqFJoCSrgOuBi4GtwKVJtvZU+ziwvaq+C/hd4LpJN1SSJEmSJEnjG+VKoPOBo1V1rKoeAW4GdnVXqKoPV9XXmtkDwIbJNlOSJEmSJElLMUoSaD1wT9f8XFM2yOXA+5fSKEmSJEmSJE3W6hHqpE9Z9a2YvAzYDnz/gOW7gd0AGzduHLGJkiRJWgpjMEnSSnHo0KFpN+Gk2LZt21S2O8qVQHPAOV3zG4B7eysluRC4EthZVQ/3W1FV3VBV26tq+7p168ZpryRJkhbJGEySJMFoSaDbgC1JNic5DbgE2NddIcl5wP+ikwC6b/LNlCRJkiRJ0lIMTQJV1XFgD3ArcDdwS1UdTnJNkp1NtTcDTwDeleSOJPsGrE6SJEmSJElTMMozgaiq/cD+nrKru6YvnHC7JEmSJEmSNEGj3A4mSZIkSZKkFc4kkCRJkiRJUguYBJIkSZIkSWoBk0CSJEmSJEktYBJIkiRJkiSpBUwCSZIkSZIktYBJIEmSJEmSpBYwCSRJkiRJktQCq6fdgOWw47uumnYTTooPfOKXpt0EaVHa8N30eympzQ4dOjTtJkjSTPM8q6XySiBJkiRJkqQWMAkkSZIkSZLUAiaBJEmSJEmSWsAkkCRJkiRJUguYBJIkSZIkSWoBk0CSJEmSJEktYBJIkiRJkiSpBUwCSZIkSZIktcBISaAkO5IcSXI0yd4+y9ck+b/N8o8m2TTphkqSJEmSJGl8Q5NASVYB1wMXA1uBS5Ns7al2OXB/VX078BbgTZNuqCRJkiRJksY3ypVA5wNHq+pYVT0C3Azs6qmzC3h7M/27wIuSZHLNlCRJkiRJ0lKMkgRaD9zTNT/XlPWtU1XHgQeAb5lEAyVJkiRJkrR0q0eo0++KnhqjDkl2A7ub2QeTHBlh+yvRWuCLy72R5JeXexOLcVL6fApqY7/t8wJOse/lUjnWrZDl7PO3LdN6tUgzEIO18Lu5aO6j4dxHo3E/Dec+Gs59NNxUYrBRkkBzwDld8xuAewfUmUuyGngS8OXeFVXVDcANI2xzRUtysKq2T7sdJ1Mb+wzt7Ld9bo829ts+a1at9BjM43Q499Fw7qPRuJ+Gcx8N5z4ablr7aJTbwW4DtiTZnOQ04BJgX0+dfcBlzfRLgT+uqsdcCSRJkiRJkqTpGHolUFUdT7IHuBVYBdxYVYeTXAMcrKp9wFuBdyQ5SucKoEuWs9GSJEmSJElanFFuB6Oq9gP7e8qu7pp+CPjRyTZtRVuxl1svQRv7DO3st31ujzb22z5LpyaP0+HcR8O5j0bjfhrOfTSc+2i4qeyjeNeWJEmSJEnS7BvlmUCSJEmSJEla4UwCLUGSH01yOMmjSR7zVO8kG5M8mOS1XWU7khxJcjTJ3pPb4skY1O8kL05ye5K/av59Ydey727Kjyb5b0kyndaPZ6GxTnJF068jSV7SVb7ix7pbkmcnOZDkjiQHk5zflKcZ06NJPpHkOdNu6yQl+almHA8nua6rvO+4z4okr01SSdY287M+zm9O8smmb+9JclbXspkd61k7T2k2JLm2+S7ekeSDSZ7WlA88DyW5LMlfNz+XDV77bBh0zkqyKcnXm313R5Lf7PrMio7FFmuc83rbzokLxPQeRw3/BlicJG9I8tmuY+cHu5bNbDw1jqkeJ1Xlz5g/wDOA7wA+Amzvs/z3gHcBr23mVwGfBp4OnAbcCWyddj8m1W/gPOBpzfQ24LNdyz4GfC8Q4P3AxdPux4T6vLUZxzXA5mZ8V83KWPfsgw/Ojxvwg8BHuqbf34ztBcBHp93WCfb5B4A/BNY0809ZaNyn3d4J9vscOi8D+AywdtbHuenfRcDqZvpNwJtmfaxn8Tzlz2z8AGd2Tf808JvNdN/zEPBk4Fjz79nN9NnT7scy76NB56xNwKEBn1nRsdgE91FrYrcR9tGg+NbjaPg+8jjqv7/eQPO3b0/5zMZTY+6nqR4nXgm0BFV1d1Ud6bcsyQ/RCUIOdxWfDxytqmNV9QhwM7Br+Vs6WYP6XVUfr6p7m9nDwOlJ1iT5VjoB3V9U56i/Cfihk9jkJVtgrHcBN1fVw1X1N8BROuM8E2Pdo4Azm+knAfNjvQu4qToOAGc1Yz4LXg28saoeBqiq+5ryQeM+K94C/DydMZ83y+NMVX2wqo43sweADc30LI/1LJ6nNAOq6u+7Zs/gm+eiQeehlwAfqqovV9X9wIeAHSe10SfZAuesvmYhFlusMc7rrTsnLvS3TD8tPY78G2AyZjmeGsdUjxOTQMsgyRnALwC/2LNoPXBP1/xcUzaLfgT4ePPH83o6fZ03S/0eNKazONb/CXhzknuAXwWuaMpnsa/zzgWen+SjSf4kyfc05TPb5yQ76VzFd2fPopntcx8/Sed/N2G2+z3LfdMKl+SXm983/waYfyNtm37nLkb3OQtgc5KPN7+3nt+UzXIsNopRzuttP456eRwtzONosD3NbZg3Jjm7KXO/nGiq+2OkV8S3WZI/BJ7aZ9GVVfX7Az72i8BbqurBnttk+90ze0q+nm3Mfs9/9pl0Lru9aL6oT7VTrt9j9nlQ3/olWE+5PvdaaB8ALwJ+pqp+L8mPAW8FLmSFjO8gQ/q8ms6tBRcA3wPckuTpzHaf/zPf/O6e8LE+ZSumzzDadzzJlcBx4P/Mf6xP/RXV7wXMct90ihv2fayqK4Erk1wB7AFez+BjdiaP5THPWZ8DNlbVl5J8N/DeJi5zHw0/r6/I2G2YMeNbj6OO1vwNsBhD4sj/CVxLp8/XAr9GJwk7k8fOEkx1f5gEGqKqLhzjY88FXprOQ2TPAh5N8hBwO51nbczbwDdvqTmljNlvkmwA3gO8vKo+3RTPceJlyqdkv8fs8xyDx3RFjHW3hfZBkpuA/9jMvgv47WZ6oX1wyhvS51cD724uef5YkkeBtcxon5N8J537tO9sEtgbgL9M5yHgK7rPMPw7ns7DZP8V8KJmzGEG+r2AWe6bTnGL+J37O8D76CSBBh2zc8ALeso/suRGTtk456zmCuz5W5hvT/JpOle1rohYbLGW4bw+c+fEceJbj6ORtOo46jbq/kryW8AfNLPGHCea6v7wdrBlUFXPr6pNVbUJ+K/Ar1TVbwC3AVuSbE5yGnAJsG+KTZ2o5q0L7wOuqKo/ny+vqs8BX01yQfMGgZcDC15NtILsAy5pnn20GdhC54F5szjW9wLf30y/EPjrZnof8PJ0XAA80Iz5LHgvnb6S5Fw6D277IoPHfUWrqr+qqqd0nb/mgOdU1eeZ7XEmyQ46t/HurKqvdS2aybFuzOJ5SjMgyZau2Z3AJ5vpQeehW4GLkpzd3HpwUVM2swads5KsS7KqmX46nXPWsRmPxfoa47zuObHhcTQSj6M+cuLzIn8YONRMz3I8NY6pHideCbQESX4Y+O/AOuB9Se6oqoGvu6uq40n20AlMVgE3VtXhQfVPVQv0ew/w7cDrkryuqX5R8zDdVwNvAx5P557s9z9mxaewQX2uqsNJbgHuonOp8X+oqm80n1nxY93jlcCvJ1kNPATsbsr303ljy1Hga8C/nU7zlsWNwI1JDgGPAJc1/5M4cNxn2CyPM8Bv0HljxYeaq6AOVNWrFvqOr3Sz8jtJM+mNSb4DeJTOWwpf1ZT3PQ9V1ZeTXEsnqAa4pqq+fHKbfNL1PWcB3wdck+Q48A3gVV37YkXHYmNY9Hm9befEBWJ6j6OGfwMs2nVJnk3n1qa/Bf4dwCzHU+OYdgyWb14ZKUmSJEmSpFnl7WCSJEmSJEktYBJIkiRJkiSpBUwCSZIkSZIktYBJIEmSJEmSpBYwCSRJkiRJktQCJoEkSZIkSZJawCSQJEmSJElSC5gEkiRJkiRJaoF/BM5cmn82YC+QAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFkAAABYCAYAAACeV1sKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAALFklEQVR4nO2cXWiVyR3Gf/+N5yRrEqNHjUaTGD92pX6AZatb6E1BhNKbbS8quwXpQsGyKES2i13KXnij9KIt9Kpg14WW7W4tVLDgRS+W1gvRql3UasWPDSFG3Wg0rvEjHk8yvTh53vc9c3JiNO6cqO8DEt+vmTnzPvPMM/+Zec05R4qvFy9VuwAvAtJKDoC0kgMgreQASCs5ANJKDoBJVbKZfc/MzpnZRTN7/2kV6nmDPalPNrMa4DywAegFjgFvOef+9/SK93xg2iSeXQdcdM51AZjZX4A3gIqVbGbOzJg2rZjtw4cPAXjppWKDGhkZKbm/pqYGABHBvz4ezAwgymt4eLjkutKqlLdQ6Xo2mwUgn8+rjFapLJOp5IXApcRxL/C6f5OZbQY2Jws3d+5cAK5evQpAXV0dAPfu3VOBAWhqagKgUCgAMDg4CMQ/XBWnChWcc1Gas2bNAuDOnTslz9y9exeAl19+ecy8BV3X/UJLSwsAPT09Zc/4mEwlj/XmynJzzu0GdgNkMhnX1NQUsUI/eM2aNQAcOnQIiBlcX18PxBV19uxZIG4BiTwAmD9/PgA3btzg/v37QFxJekG6V+fFRL24efPmAfGLFVQmvfienp7oOb+V+JhMx9cLtCWOW4Erk0jvucVkOr5pFDu+9cBlih3fj51zZyo9k8lk3MyZM+nv7wdgwYIFAFy5Mv67aWsrvsuvvvoKiFuAmvjChQtLjpMsFKPF/hkzZgBx81daYqovQWpFN2/eLHleLWP27NncunWLhw8fPn1Nds4VzGwr8A+gBvhovAp+kfHETH6izMzGzGzdunUAHD16dMznamtrAXjw4AEAHR0dAPT19QEwNDQEQGNjI1Bk2euvF/vgI0eOALEGi9nSb/UP169fB2LNXrVqFQDnzp0D4pYghstdNDU1cfPmzXGZnI74AqAqTJauycNK38QW6ePq1asBOHHiREk6YqVYKIeQZLKgc8pL2prJZIDYVaiVCLlcDiCym2K0r93Lly+nu7uboaGhlMnVRFAmt7a2us7Ozog1cgEzZ84EYj28fft2ybHY+PHHHwNw8uTJkvNyCnICAwMDEct1j1qPBkC6Lm1VmXyPrrL4DFZ6ibKmTK4mJjPie2zU1NRQX18f+dnEuB+IWSHdlAOQxm7cuBGA9evXA7BkyRIAtm7dWpJecgSmNPV3zpw5QMx+abNalZ71mT179uyS+6TluVwu8u+VkDI5AIIyWZg+fToAK1euBODChQtAHBeQy5CLULBHTFVwRozfuXMnAM3NzQAcPHiQAwcOAOWM9ANDSmPZsmUA3Lp1qyQv/RWDxVqVobe395G/N2VyAAR1F+3t7W779u2RnolNYraibPKoYpmO5XXlDLq7u4GYhQMDA0CRvb670KhRrL927RoQs19pK44i5ivtixcvArEW628+n8c5l7qLaiM4k997773IgwrSQfX0ui5XsW3bNgA+/PBDIGal2CfdFJOT15LnINbSY8eOAbBnzx4gbh0a4YnpwvLly4G49aiM2WyW/v7+NHZRbQRlckdHh/vggw+iUZfYJt2UE5De+cyWh/V7fLHQj4UkzyltpSktfuedd4C4dchPC9JmlcmPxk2fPp379+8zPDycMrmaqIpPlk7KNUiTGxoaAGhtbQVid6HrciPSS7UAjSCFxsbGiM1iux8HFvvlzeWfxXDlodYjT3/q1KmSdBobG8sieD5SJgdAUCYXCgUGBgYiBiv6Jt3U7IS8qpisnl2sFNM1+pIj0NxhXV1d2Yy22CZ9f/fdd0uui8nSe38mRcxW9E2j0MHBwUeuB0mZHABBmTwyMsLg4GDEZOHLL78EYmZ/8cUXQMwmzUpIP+UAdKznddzX11cW/5Wu79q1C4hbhfJQ67hx4wYQz6R3dXVFaULcD2he8d69e1/r4pbHRjabpb29PTL0wtKlS4G4+esHqgnLXgn6UX6Ho6aezWYjWdi+fTtA2VBe1yUxly9fBmDt2rVA5UldyZCs4EQscCoXARCUyfl8nt7e3oihYqzYpKYoK+dD69nEQlk3MV0sa2hoiDospak82tvbgXgaSvcJmtoSU/1FMZIqdXaZTKZsSZePlMkBEJTJmUyG5ubmiHlimaybOh0xQ1M+GrxoukmWT4yWvdLUUn9/f8S4zs5OAHbs2AHEneiiRYvGLKM/rBbUAtQpJxc0pkyeAgjKZOcchUIhYqIYoCGqDL7skQLm0k+d93t02TXpbn19fZlFe+211wA4c6a4XE9LX/1lWbr+6quvAnD+/HkATp8+DcTanGSyXE0lpEwOgOCLW7Zs2RIxVvC9qwYA0mQ/FCpGa9it68kQqXRcgSEtUty0aVNJ3mKmXIQY6g9mVEZB7iNd3DJF8EhNNrM24E/AfGAE2O2c+52Z5YC9QAfQDWx0zg1USgeKfnbJkiUR4zTyk2/WiM9fSCLGipViru5Xekonl8tFXluM27t3b0lZxFQxUffJdfhT/WKyWojynAgmcmcB+Llz7hvAt4EtZrYCeB/4zDn3CvDZ6HGKMfBIJjvnrgJXR/8/aGZnKe58egP47uhtfwT+BfxivLQePHhAV1dXxDj5WrHCn+qRHvq+Wi1ASwkUvElO0B4+fBiAffv2AXE4VHESBfX9JVbJDTdJqDUJCnJNJED0WJpsZh3AN4F/A/NGX4BeRHOFZzab2XEzO+5v03pRMGGfbGYNwN+Abc652/7euUpIbjFra2tzdXV1ZfEEHYuRCjuqp1fMQuFKf2OOnIMmRZubmyOW+/dKe/0gvLRZrUGE8JcvKB1/ycB4mBCTzSxDsYL/7JzbN3q6z8xaRq+3ABPP9QXDRNyFAXuAs8653yYu/R34CfCr0b/7H5WWc458Ph/FKKTJ8qiKyvluQk5B2qxR2SeffALELFyxYgVQDOL7MWvdk1wuAOVxEH9BYtKxACxevLgkneHh4agFVsJE5OI7wCbgv2amzRu/pFi5fzWznwI9wI8mkNYLieAbc2pqaso2KL799tsAbNiwAYD9+4uN4tNPPx0zHX+mJDkjAkUX40/tV4I0Wc+qH9BUlsp46dKlMZ9LR3xTBFNis6SYKS/7qIXVYpEgfZSjSFpFf6NlJUiD/cXh/nY4v7+oq6tjaGiIkZGRlMnVxJRiskZZ/ryb9FXRNx++PiZnN+SL/S1l0nHFSaTdchnSYj/GraW3ci9qIakmVxlBmVxbW+taWloizZXL8Ld5qUzJOTsoZ6xagL9VLTka1TnlodGlvzhceu5vJU5u74V4piS5raFQKKSaXG0EZXImk3G5XC7SP22GVCTMnyvzP/Dhl9Wf1ZBurly5MhoVVpoP9Lf1qlWIyf78o+9O/DKlmlxlhHYX14G7QH+wTJ8+5lBe/kXOubmVHghayQBmdtw5962gmT5FPEn5U7kIgLSSA6Aalby7Cnk+TTx2+YNr8ouIVC4CIK3kAAhWyc/iB63NrM3M/mlmZ83sjJl1jp7fYWaXzezE6L/vj5tOCE1+Vj9oPToL3+Kc+9zMGoH/AD8ANgJ3nHO/nkg6oZgcfdDaOZcH9EHrKQ3n3FXn3Oej/x8EtHrqsRCqksf6oPVjF7aa8FZPAWw1s1Nm9pGZzRrv2VCVPKEPWk9V+KungN8DS4E1FNcJ/ma850NV8jP7QeuxVk855/qcc8POuRHgDxTlsCJCVfIx4BUzW2xmWeBNiiuQpjQqrZ7S8rRR/BA4PV46QTbmPMMftK60euotM1tDUfK6gZ+Nl0g6rA6AdMQXAGklB0BayQGQVnIApJUcAGklB0BayQHwf9FI75h/ytDuAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAABIcAAACcCAYAAADlL8vQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAWtUlEQVR4nO3dfdBedX3n8ffHpMBOhRJMVBaIgTHsCNGKptEdx7VWHmLHJW6rFupD6NLN+kC7W7e7hdXCbrAz+DS03aKF1lR0HVFZdeOaDo0iujuWh2ARE1wg0lVuY0UNMiICE/juH+ekXLm5H879dN0P5/2auSfn/M7vd+7v9Ts59/W7vtfvnJOqQpIkSZIkSf30lPkOQJIkSZIkSfPH5JAkSZIkSVKPmRySJEmSJEnqMZNDkiRJkiRJPWZySJIkSZIkqcdMDkmSJEmSJPWYySFJQ5HklCS75mC/z0jyzSSHz/a+JUmSFrskq5LcmeSIOdj3zUlOne39Sho+k0OSpiXJMUk+k+SnSb6d5DcnaXIp8L7ptE/j3Ul+1P68J0kAqur7wJeALbPxuiRJkhayJBck2ZXkkSQf7tDkQuCvqurhtv3rknw1yUNJbujw+36zHav9NMlnkxwzsPl9wNbpvA5JC4vJIUnTdQXwKPAM4PXAB8f75ijJscDLgc9Opz1N4ufVwC8CzwNeBfzbge0fG7UuSZK0VO0D3gVsm6xiO7N6M/DfB4r3A38MXNah/anAlcAbacZsDwEfGKiyHXh5O9aTtIiZHJI0ZUl+Hvh14A+r6sGq+j80g4M3jtPkDOBrA99YTbX9ZuD9VTVSVd8F3g+cN7D9JuCkJM+a4UuTJEla0Krq01X1WeBHHaq/CPhxVY0MtP9CVX2SJsk0mdcDn6uqr1TVg8AfAr+W5Mh2Xw8DtwJnTvV1SFpYTA5Jmo6Tgceq6q6Bsq8D4838eS5w5wzan9puH7NuVR0A9tLMLJIkSVJj9Bhsqg4Zg1XVt2hmfp88UOebOAaTFj2TQ5Km46nAA6PKHgCOHKf+0cBPZtB+dP0HgKcevO9Q6yft75EkSVJj9BhsqrqM2RyDSUuAySFJ0/EgcNSosqMYf/BxP4cOIqbafnT9o4AHq6oGyo4EfjxBzJIkSX0zegw2VV3GbI7BpCXA5JCk6bgLWJ5k7UDZLwJ7xql/O4dOP55q+z0cOl35kLpJlgPP5tBLzyRJkvpu9Bhsqg4ZgyU5CTicZix30HNwDCYteiaHJE1ZVf0U+DSwNcnPJ3kJsAn46DhNdgIvSHLENNt/BHh7kuOS/FPgPwAfHti+Afh/VfXtGb40SZKkBS3J8nZMtQxYluSI9ouysdwMHJ3kuIH2y9r2y4GntO1/bpz2HwP+ZZKXtg8U2Qp8uqp+0u7rcOCFNGM9SYuYySFJ0/VW4J8A9wEfB95SVWPO/Kmq7wPX0ySAJm3fDkAeHKh7JfA54BvAbuDzbdlBrwf+fBZekyRJ0kL3TuBnwIXAG9rld45VsaoepflC7Q0DxW9s23wQeGm7/BcHNyZ5MMlL2/Z7gDfTJInuo7mE7K0D+zobuKGqujz5TNIClkNv2SFJcyPJKcDVwIaaxT88SZ4OfBk4rX2cqiRJklpJVgH/m2as9LNZ3vdNwPlVtXs29ytp+EwOSZIkSZIk9ZiXlUmSJEmSJPWYySFJkiRJkqQeMzkkSZIkSZLUYyaHJEmSJEmSemz5fAcw2sqVK2vNmjXzHYYkSZpDt9566w+ratV8x6EnOAaTJGlpm2j8NWlyKMk24FXAfVW1boztAf4E+FXgIeC8qvpau20z8M626ruq6urJft+aNWvYtWvXZNUkSdIiluTb8x2DDuUYTJKkpW2i8VeXy8o+DGycYPsrgbXtzxbgg+0vPQa4BHgRsAG4JMmKbiFLkiRJkiRpGCZNDlXVV4D9E1TZBHykGjcCRyc5FjgL2FlV+6vqfmAnEyeZJEmSJEmSNGSzcUPq44B7B9ZH2rLxyiVJkiRJkrRAzMYNqTNGWU1Q/uQdJFtoLklj9erVsxCSJEmSJuMYTOq3x//h5PkOYc495Zl3zXcI0qIwGzOHRoATBtaPB/ZNUP4kVXVVVa2vqvWrVvngEkmSpGFwDCZJkmB2kkPbgTel8WLggar6HnAdcGaSFe2NqM9syyRJkiRJkrRAdHmU/ceBXwZWJhmheQLZzwFU1Z8DO2geY7+X5lH2v9Vu25/kUuCWdldbq2qiG1tLkiRJkiRpyCZNDlXVuZNsL+Bt42zbBmybXmiSJEmSJEmaa7NxWZkkSZIkSZIWKZNDkiRJkiRJPWZySJIkSZIkqcdMDkmSJEmSJPWYySFJkiRJkqQeMzkkSZIkSZLUYyaHJEmSJEmSeszkkCRJkiRJUo+ZHJIkSZIkSeoxk0OSJEmSJEk9ZnJIkiRJkiSpx0wOSZIkSZIk9ZjJIUmSJEmSpB4zOSRJkiRJktRjJockSZIkSZJ6zOSQJEmSJElSj5kckiRJkiRJ6rFOyaEkG5PcmWRvkgvH2H55ktvan7uS/Hhg22MD27bPZvCSJEmSJEmameWTVUiyDLgCOAMYAW5Jsr2q7jhYp6p+b6D+7wCnDeziZ1X1/NkLWZIkSZIkSbOly8yhDcDeqrqnqh4FrgE2TVD/XODjsxGcJEmSJEmS5laX5NBxwL0D6yNt2ZMkeRZwInD9QPERSXYluTHJq6cdqSRJkiRJkmbdpJeVARmjrMapew5wbVU9NlC2uqr2JTkJuD7JN6rqW4f8gmQLsAVg9erVHUKSJEnSTDkGkyRJ0G3m0AhwwsD68cC+ceqew6hLyqpqX/vvPcANHHo/ooN1rqqq9VW1ftWqVR1CkiRJ0kw5BpMkSdAtOXQLsDbJiUkOo0kAPempY0n+GbAC+NuBshVJDm+XVwIvAe4Y3VaSJEmSJEnzY9LLyqrqQJILgOuAZcC2qtqTZCuwq6oOJorOBa6pqsFLzp4DXJnkcZpE1GWDTzmTJEmSJEnS/OpyzyGqagewY1TZxaPW/8sY7b4KPHcG8UmSJEmSJGkOdbmsTJIkSZIkSUuUySFJkiRJkqQeMzkkSZIkSZLUYyaHJEmSJEmSeszkkCRJkiRJUo+ZHJIkSZIkSeoxk0OSJEmSJEk9ZnJIkiRJkiSpx0wOSZIkSZIk9ZjJIUmSJEmSpB4zOSRJkiRJktRjJockSZIkSZJ6zOSQJEmSJElSj5kckiRJkiRJ6jGTQ5IkSZIkST1mckiSJEmSJKnHTA5JkiRJkiT1WKfkUJKNSe5MsjfJhWNsPy/JD5Lc1v789sC2zUnubn82z2bwkiRJkiRJmpnlk1VIsgy4AjgDGAFuSbK9qu4YVfUTVXXBqLbHAJcA64ECbm3b3j8r0UuSJEmSJGlGuswc2gDsrap7qupR4BpgU8f9nwXsrKr9bUJoJ7BxeqFKkiRJkiRptnVJDh0H3DuwPtKWjfbrSW5Pcm2SE6bYVpIkSZIkSfOgS3IoY5TVqPXPAWuq6nnAF4Crp9CWJFuS7Eqy6wc/+EGHkCRJkjRTjsEkSRJ0Sw6NACcMrB8P7BusUFU/qqpH2tW/AF7YtW3b/qqqWl9V61etWtU1dkmSJM2AYzBJkgTdkkO3AGuTnJjkMOAcYPtghSTHDqyeDXyzXb4OODPJiiQrgDPbMkmSJEmSJC0Akz6trKoOJLmAJqmzDNhWVXuSbAV2VdV24HeTnA0cAPYD57Vt9ye5lCbBBLC1qvbPweuQJEmSJEnSNEyaHAKoqh3AjlFlFw8sXwRcNE7bbcC2GcQoSZIkSZKkOdLlsjJJkiRJkiQtUSaHJEmSJEmSeszkkCRJkiRJUo+ZHJIkSZIkSeoxk0OSJEmSJEk9ZnJIkiRJkiSpx0wOSZIkSZIk9ZjJIUmSJEmSpB4zOSRJkiRJktRjJockSZIkSZJ6zOSQJEmSJElSj5kckiRJkiRJ6jGTQ5IkSZIkST1mckiSJEmSJKnHTA5JkiRJkiT1mMkhSZIkSZKkHls+3wFIkrTY7N69e75DGIp169bNdwiSJEkagk4zh5JsTHJnkr1JLhxj+9uT3JHk9iRfTPKsgW2PJbmt/dk+m8FLkiRJkiRpZiadOZRkGXAFcAYwAtySZHtV3TFQ7e+A9VX1UJK3AO8BfqPd9rOqev4sxy1JkiRJkqRZ0GXm0AZgb1XdU1WPAtcAmwYrVNWXquqhdvVG4PjZDVOSJEmSJElzoUty6Djg3oH1kbZsPOcDfz2wfkSSXUluTPLqacQoSZIkSZKkOdLlhtQZo6zGrJi8AVgPvGygeHVV7UtyEnB9km9U1bdGtdsCbAFYvXp1p8AlSZI0M47BJEkSdJs5NAKcMLB+PLBvdKUkpwPvAM6uqkcOllfVvvbfe4AbgNNGt62qq6pqfVWtX7Vq1ZRegCRJkqbHMZgkSYJuyaFbgLVJTkxyGHAOcMhTx5KcBlxJkxi6b6B8RZLD2+WVwEuAwRtZS5IkSZIkaR5NellZVR1IcgFwHbAM2FZVe5JsBXZV1XbgvcBTgU8lAfhOVZ0NPAe4MsnjNImoy0Y95UySJEmSJEnzqMs9h6iqHcCOUWUXDyyfPk67rwLPnUmAkiRJkiRJmjudkkOSNJd279493yEMxbp16+Y7hDnXl2MpSZIkLSVd7jkkSZIkSZKkJcrkkCRJkiRJUo+ZHJIkSZIkSeoxk0OSJEmSJEk9ZnJIkiRJkiSpx0wOSZIkSZIk9ZjJIUmSJEmSpB4zOSRJkiRJktRjJockSZIkSZJ6bPl8BzBsu3fvnu8Q5ty6devmO4Sh8FhqsenD/1lJkiRJi48zhyRJkiRJknrM5JAkSZIkSVKPmRySJEmSJEnqMZNDkiRJkiRJPWZySJIkSZIkqcdMDkmSJEmSJPVYp+RQko1J7kyyN8mFY2w/PMkn2u03JVkzsO2itvzOJGfNXuiSJEmSJEmaqUmTQ0mWAVcArwROAc5NcsqoaucD91fVs4HLgXe3bU8BzgFOBTYCH2j3J0mSJEmSpAWgy8yhDcDeqrqnqh4FrgE2jaqzCbi6Xb4WeEWStOXXVNUjVfX3wN52f5IkSZIkSVoAuiSHjgPuHVgfacvGrFNVB4AHgKd1bCtJkiRJkqR5srxDnYxRVh3rdGlLki3Alnb1wSR3doiri5XAD2dpX5oZj8XC4bFYODwWC4fHYvieNd8BaE7HYEuFfxuGzz4frh7091gfSedND/p7QbG/n2zc8VeX5NAIcMLA+vHAvnHqjCRZDvwCsL9jW6rqKuCqDrFMSZJdVbV+tverqfNYLBwei4XDY7FweCzUV3M1Blsq/NswfPb5cNnfw2V/D5f9PTVdLiu7BVib5MQkh9HcYHr7qDrbgc3t8muA66uq2vJz2qeZnQisBW6endAlSZIkSZI0U5POHKqqA0kuAK4DlgHbqmpPkq3ArqraDnwI+GiSvTQzhs5p2+5J8kngDuAA8LaqemyOXoskSZIkSZKmqMtlZVTVDmDHqLKLB5YfBl47Tts/Av5oBjHOhNOkFw6PxcLhsVg4PBYLh8dC0lj82zB89vlw2d/DZX8Pl/09BWmu/pIkSZIkSVIfdbnnkCRJkiRJkpaoRZscSvLaJHuSPJ5k/ahtFyXZm+TOJGcNlG9sy/YmuXCg/MQkNyW5O8kn2htvaxqSPD/JjUluS7IryYa2PEn+tO3725O8YKDN5rbv706yefy9a6qS/E77f35PkvcMlE/pHNHsSPL7SSrJynbd82LIkrw3yf9t+/szSY4e2OZ5IfVckmOS7Gz/9u5MsmKCukcl+W6SPxtmjEtNlz5vx5d/245nbk/yG/MR62I22XtZ+wChT7Tbb0qyZvhRLh0d+vvtSe5o/z9/Mcm4jxfX5LqO1ZK8ph2L+wSzMSza5BCwG/g14CuDhUlOobkh9qnARuADSZYlWQZcAbwSOAU4t60L8G7g8qpaC9wPnD+cl7AkvQf4r1X1fODidh2afl/b/mwBPgjNgAC4BHgRsAG4ZKKBmLpL8nJgE/C8qjoVeF9bPp1zRDOU5ATgDOA7A8WeF8O3E1hXVc8D7gIuAs8LSf/oQuCL7Zjwi+36eC4FvjyUqJa2Ln3+EPCmdjyzEfjjweS+Jtbxvex84P6qejZwOc3nI01Dx/7+O2B9Ox65lic+M2mKuo7VkhwJ/C5w03AjXDwWbXKoqr5ZVXeOsWkTcE1VPVJVfw/spflwtQHYW1X3VNWjwDXApiQBfoXmpAS4Gnj13L+CJauAo9rlXwD2tcubgI9U40bg6CTHAmcBO6tqf1XdT/PBbeOwg16i3gJcVlWPAFTVfW35lM6ReYh7qboc+E8058hBnhdDVlV/U1UH2tUbgePbZc8LSdCc31e3y+OOCZO8EHgG8DdDimspm7TPq+quqrq7Xd4H3AesGlqEi1+X97LB43At8Ir2c5KmbtL+rqovVdVD7ergeERT13WsdilNEu7hYQa3mCza5NAEjgPuHVgfacvGK38a8OOBDwsHyzU9/x54b5J7aWaqXNSWT/W4aOZOBl7aTg3+cpJfass9FkOW5Gzgu1X19VGbPBbz618Df90ueywkATyjqr4H0P779NEVkjwFeD/wH4cc21I1aZ8PSnPLgsOAbw0htqWiy3vZP9ZpPxc9QPM5SVM31bHD+TwxHtHUTdrfSU4DTqiq/zXMwBabTo+yny9JvgA8c4xN76iq/zleszHKirETYTVBfY1jouMCvAL4var6H0leB3wIOJ3x+9n+n4FJjsVyYAXwYuCXgE8mOYmpnyPqYJJj8Z+BM8dqNkaZ58UMdXnvSPIO4ADwsYPNxqjveSEtQZP8ve7ircCOqrrXiRXdzEKfH9zPscBHgc1V9fhsxNYTXcYVjj1mT+e+TPIGYD3wsjmNaGmbsL/bhP7lwHnDCmixWtDJoao6fRrNRoATBtaP54lLm8Yq/yHNpRzL2yz5YH2NYaLjkuQjwL9rVz8F/GW7PN5xGQF+eVT5DbMU6pI3ybF4C/Dpqirg5iSPAyuZ+jmiDsY7FkmeC5wIfL39EHE88LX2m0/Pizkw2XtHe4PvVwGvaM8P8LyQemOS987vJzm2qr7XJiLuG6PaP6eZmftW4KnAYUkerCpvWD+OWehzkhwFfB54Z3sptrqb6D1udJ2RJMtpbg+xfzjhLTld+pskp9MkSF928DYQmpbJ+vtIYB1wQzsWfyawPcnZVbVraFEuAkvxsrLtwDntHfdPpLnR683ALcDaNE8mO4zmxqPb2w8GXwJe07bfDIw3K0mT28cTme9fAe5ul7cDb0rjxcAD7dTh64Azk6xob7h7ZlummfsszTEgyck0U7B/yBTPkXmJfAmpqm9U1dOrak1VraF5A3tBVf0DnhdDl2Qj8AfA2QPX+oPnhaTGdpqxIIwzJqyq11fV6vZv+u/T3DvOxND0Tdrn7d/fz9D09aeGGNtS0eW9bPA4vAa4fuALFE3NpP3dXuZ0Jc14ZMyEqDqbsL+r6oGqWjkwFr+Rpt9NDI2yoGcOTSTJvwL+G83N6D6f5LaqOquq9iT5JHAHzSUDb6uqx9o2F9B8wFoGbKuqPe3u/gC4Jsm7aO4c/6Ehv5yl5N8Af9J+4/AwzROYAHYAv0pzk9eHgN8CqKr9SS6lOakBtlaV31LMjm3AtiS7gUdppmAXMJ1zRHPD82L4/gw4HNjZfnt0Y1W9eZrvHZKWnstoLsM+n+bpkq8FSPPY4zdX1W/PZ3BLVJc+fx3wL4CnJTmvbXdeVd02D/EuOlV1YKz3siRbgV1VtZ3m889Hk+ylmTF0zvxFvLh17O/30sw8/FQ7HvlOVZ09b0EvYh37Wx3EhLAkSZIkSVJ/LcXLyiRJkiRJktSRySFJkiRJkqQeMzkkSZIkSZLUYyaHJEmSJEmSeszkkCRJkiRJUo+ZHJIkSZIkSeoxk0OSJEmSJEk9ZnJIkiRJkiSpx/4/diCKKyI3rEkAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFkAAABYCAYAAACeV1sKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAI1klEQVR4nO2cX2gdeRXHPyfXXFqSUiymNvRfEgmtLZQtiJFKQCgWK4XUB5euYPdBqA8uKPjg0pf66IMKPgkVFxQEtVhwKVsshJa2FMrG7VKNrXZpt5qYbmNj00QC0yTHh3vPvXNP7tyZ3GR/uWnnA2U6M7/fb373l++cOb/zOzOiquR8vLStdQdeBvJBDkA+yAHIBzkA+SAHIB/kAKxokEXkKyLydxH5QETeXK1OvWhIs36yiBSAfwBfBsaAd4HXVPVvq9e9F4NPrKDu54EPVPU+gIj8FhgCEgd5w4YNumnTJhYXFynXAcD+0LZv+ONp5eKktZVUPqvoCoUCAB0dHUxOTjIzM1O/YVY2yNuBf8X2x4ABX0hETgGnADo7Ozl+/Dhzc3M1HV1YWKjZN/zxtHJx0tryFItFAKIoqnves2XLFgAGBgY4ffp0w7IrGeR6f7klMlDVs8BZgN7eXh0cHKz8oIsXLwLJP9wfz1quUZljx44BVP7QaYyOjgLQ3d0NVAfXfkOhUEi8O4yVPPjGgJ2x/R3Av1fQ3gvLSpT8LtAvIr3AOHAC+EaWiqaio0ePAnDz5s2a8wcPHgSqapmcnKypt3nzZqCqztnZWQC2bdsGNL7lvYLTzMT+/ftr9u3aZn6iKEq1400PsqrOi8gbwJ+AAvCWqo42296LzEqUjKq+A7yTtbyIUCwWK8oz9ZhyPXbe1GNbw9RkCjZld3Z2LmnDjsUVGMef9/h68Qfpx2mTczKyIiU3i6nG20Pb3r59G4Dp6em69U2xu3fvBqC3t7fmeLwtI8lt3LhxIwBDQ0MAXLhwoW5566vVi9dva2us1VzJAQiq5La2NorF4hI1xX1OKDn4AJcuXQKgvb0dgOfPn1faAbh//37N1ujs7KzYeWvLPBh/LevD+fPna9rYu3dvTdt2V5nybZvFu8iVHIDgNrlQKGSeLg8ODgJw7dq1muOm6CRmZ2crdXxd83tt5mZ0dXUBVcXeu3ev5rzZ/ydPngC1/rbFYpLIlRyA4EqO+6FmH5PiCLdu3ap73DwHq1/veFIZi0XYebOt1q/Dhw/XvYb56A8fPgSgr68PgLGxsbp9jJMrOQBrYpNNud7nNJtsW1OZzRANrz4jrtpGKo9vfRtXr14Fqnb/yJEjANy9e7emnNnmYrGY+8mtwJra5LQ48NTUVE05r/zlkBRt84o3BafFsuMxjNy7aAGCKnlxcZEoipbY3kYqiWO+rMWXzefdvn07UJ0hxn1xj9V5+vRpTVseqz8+Pg5UI32e3Ca3CEGVrKpEUVTxOb199LbX41VnT3zzfY2BgYHKjM3X8TM5w3sftm9+8b59+4DqjND6GkVRbpNbgaBKtpURHyf2PuuVK1eAdGUnHb9x40ZqX9J8ceuTRfMa+fb5ykgLEFTJ7e3tdHV1VZRsttlUYn7xoUOHaur5SNpysFUYa9vfNaZgf9f4/AzbJs0UGxF0kOfn55mamkrsoJ/y2g+3qa3H3Ct7AMYD6gcOHACSH2hW1rDQpzdl3s2sN5nJzUULEPzBV28qnTXHzd/SNkHYtWtXTbkoipbcDUY8XcDKxtv0Wx+OtTsg/iDMl59agDVx4exhY1v/UPGJiEnLVZ5G5031Zqu9ws+dOwdUbbM9KG0JLOmBlyu5RViTabWpIil5xbyJy5cvAywJwHjlpx0HePToEbB0mu2XvkzBhrmPJ06cqKlvd8Lc3Fyu5FZgTdK0DJuMJE0ULPDi7aAtdg4PDwPVFFy/dFSPJHve0dFRU9cn1CT1MQu5kgOQqmQR2Qn8GtgGLAJnVfVnIrIF+B3QA3wIvKqq/23UlgXtve/pQ59JXoL5uGYnrR0LKGVRV9KCqle/7ds1/YwvyysURhYlzwPfV9XPAl8AviMi+4A3gWFV7QeGy/s5dUhVsqpOABPl/8+IyB1Kbz4NAV8qF/sVcAX4QaO2/IzPxxPS/GDzq3fs2AFUE0tMbUneSvwa3vNIu2ssWNXM4q2xLJssIj3AQeAm8OnyH8D+EFsT6pwSkRERGXn27FnTHV3PZPYuRKQT+APwPVV9lhZ5MuKvmPX19enCwkJi6qzte1/VsHo+NcoUnKRWWJoK670HjwXrfV99FG/VonAi0k5pgH+jqpbI+5GIdJfPdwOPs7T1MpLFuxDgl8AdVf1p7NTbwOvAj8rbP2a9aFqSir3OkFQviXoKNnyiuPceLFk8qS3vTVhqwcjIyKq8YvZF4JvAX0Tk/fKx05QG9/ci8i3gn8DXM7T1UpLFu7hO/Vd8AQ4v52L2OoOPqplq7KWYZonbz/7+fgD27NkDVO22KTfN37U+bt1aep5PTEwAVVucdLfVI5/xBSBo7GJhYWHJ0jtU/d+kBGxPPAIWLxdXpSnRr2j4V8vsWvaCek9PDwDXr19v+FviKQV5mlYLsKZROP+ZAyNpZdjj4w9GFEUV2+vjxWarzduwaz1+XPJAzfb6475vtp2ens7TtFqBoEq2V7/8K7WWP2GkfV3FMKWbLY9js0a/Om0Jh34m5xWf9sK73RGN4iVGruQANP01raYuJlJzsZMnT2aql/b9oHos9zM4SSTlbxhzc3OcOXOGBw8eJAYwciUHILSSJ4H/Af8JdtHV51Ms7f9uVe1KqhB0kAFEZERVPxf0oqtIM/3PzUUA8kEOwFoM8tk1uOZqsuz+B7fJLyO5uQhAPsgBCDbI6/GD1iKyU0Qui8gdERkVke+Wj/9QRMZF5P3yv682bCeETV6vH7Qur8J3q+p7IrIJ+DNwHHgVmFXVH2dpJ5SSKx+0VtUIsA9atzSqOqGq75X/PwNY9tSyCDXI9T5ovezOriUuewrgDRG5LSJvicgnG9UNNciZPmjdqvjsKeDnwGeAVyjlCf6kUf1Qg7xuP2hdL3tKVT9S1QVVXQR+QckcJhJqkCsftBaRIqUPWr8d6NpNk5Q9ZelpZb4G/LVRO0GWn9bxB62TsqdeE5FXKJm8D4FvN2okn1YHIJ/xBSAf5ADkgxyAfJADkA9yAPJBDkA+yAH4P588lDBQjlUxAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAABIcAAACcCAYAAADlL8vQAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAWBUlEQVR4nO3dfZBdd33f8fcHKbY7wY5lJMC1LCQPcgZbEAyKoMNQQvGDyFCJaQiRw4OcOlV5cNKGpq1diN3KyYx5GiedGGKnUTGUwYADRDTKOAJj0g6RLZkYI5nKCKfgRQQDMh6MsT2yv/3jHpWr9e7es093H877NbOje37n97v73XN09/72c89DqgpJkiRJkiR109PmugBJkiRJkiTNHcMhSZIkSZKkDjMckiRJkiRJ6jDDIUmSJEmSpA4zHJIkSZIkSeowwyFJkiRJkqQOMxySNBRJzkmybxae91lJvpbkxJl+bkmSpIUuyYokB5OcNAvPfUeSc2f6eSUNn+GQpClJclqSTyf5cZJvJvn1AUOuBt43lfHpeXeSHzRf70kSgKr6LvAFYNtM/FySJEnzWZLLkuxL8liSD7UYcjnw36vq0Wb865N8KckjSW5r8f1+vZmr/TjJZ5Kc1rf6fcD2qfwckuYXwyFJU3Ud8DjwLOANwAfH++QoyenAK4HPTGU8veDntcAvAC8AXgP86771Hx21LEmStFgdBn4f2DGoY3Nk9Vbgf/Q1HwH+ELimxfhzgeuBN9Gbsz0CfKCvy07glc1cT9ICZjgkadKS/CzwK8DvVdXDVfW/6U0O3jTOkAuAL/d9YjXZ8VuB91fVSFV9G3g/cEnf+tuBs5I8Z5o/miRJ0rxWVZ+qqs8AP2jR/SXAD6tqpG/856rqE/RCpkHeAHy2qv6mqh4Gfg/4F0lObp7rUeBO4MLJ/hyS5hfDIUlTcTbwRFXd29f2FWC8I3+eDxycxvhzm/Vj9q2qo8AhekcWSZIkqWf0HGyyjpuDVdU36B35fXZfn6/hHExa8AyHJE3F04GHRrU9BJw8Tv9TgR9NY/zo/g8BTz923aHGj5rvI0mSpJ7Rc7DJajNncw4mLQKGQ5Km4mHglFFtpzD+5ONBjp9ETHb86P6nAA9XVfW1nQz8cIKaJUmSumb0HGyy2szZnINJi4DhkKSpuBdYmmRtX9svAAfG6X83xx9+PNnxBzj+cOXj+iZZCjyX4089kyRJ6rrRc7DJOm4OluQs4ER6c7ljnodzMGnBMxySNGlV9WPgU8D2JD+b5GXAZuAj4wzZDbwoyUlTHP9h4B1Jzkjyj4F/B3yob/0G4P9W1Ten+aNJkiTNa0mWNnOqJcCSJCc1H5SN5Q7g1CRn9I1f0oxfCjytGf8z44z/KPDPk7y8uaHIduBTVfWj5rlOBF5Mb64naQEzHJI0VW8D/hHwAPAx4K1VNeaRP1X1XeBWegHQwPHNBOThvr7XA58FvgrsB/6yaTvmDcCfzMDPJEmSNN+9C/gJcDnwxubxu8bqWFWP0/tA7Y19zW9qxnwQeHnz+E+PrUzycJKXN+MPAG+hFxI9QO8Usrf1Pdcm4LaqanPnM0nzWI6/ZIckzY4k5wA3AhtqBn/xJHkm8EXgvOZ2qpIkSWokWQH8L3pzpZ/M8HPfDlxaVftn8nklDZ/hkCRJkiRJUod5WpkkSZIkSVKHGQ5JkiRJkiR1mOGQJEmSJElShxkOSZIkSZIkddjSuS5gtOXLl9fq1avnugxJkjSL7rzzzu9X1Yq5rkM/5RxMkqTFbaL518BwKMkO4DXAA1W1boz1Af4I+GXgEeCSqvpys24r8K6m6+9X1Y2Dvt/q1avZt2/foG6SJGkBS/LNua5Bx3MOJknS4jbR/KvNaWUfAjZOsP7VwNrmaxvwweabngZcBbwE2ABclWRZu5IlSZIkSZI0DAPDoar6G+DIBF02Ax+unj3AqUlOBy4CdlfVkap6ENjNxCGTJEmSJEmShmwmLkh9BnB/3/JI0zZeuyRJkiRJkuaJmbggdcZoqwnan/oEyTZ6p6SxatWqGShJkiRJgzgHk7rtyX84e65LmHVPe/a9c12CtCDMxJFDI8CZfcsrgcMTtD9FVd1QVeurav2KFd64RJIkaRicg0mSJJiZcGgn8Ob0vBR4qKq+A9wCXJhkWXMh6gubNkmSJEmSJM0TbW5l/zHgl4DlSUbo3YHsZwCq6k+AXfRuY3+I3q3sf6NZdyTJ1cDe5qm2V9VEF7aWJEmSJEnSkA0Mh6rq4gHrC3j7OOt2ADumVpokSZIkSZJm20ycViZJkiRJkqQFynBIkiRJkiSpwwyHJEmSJEmSOsxwSJIkSZIkqcMMhyRJkiRJkjrMcEiSJEmSJKnDDIckSZIkSZI6zHBIkiRJkiSpwwyHJEmSJEmSOsxwSJIkSZIkqcMMhyRJkiRJkjrMcEiSJEmSJKnDDIckSZIkSZI6zHBIkiRJkiSpwwyHJEmSJEmSOsxwSJIkSZIkqcMMhyRJkiRJkjqsVTiUZGOSg0kOJbl8jPXXJrmr+bo3yQ/71j3Rt27nTBYvSZIkSZKk6Vk6qEOSJcB1wAXACLA3yc6quudYn6r6nb7+vwWc1/cUP6mqF85cyZIkSZIkSZopbY4c2gAcqqr7qupx4CZg8wT9LwY+NhPFSZIkSZIkaXa1CYfOAO7vWx5p2p4iyXOANcCtfc0nJdmXZE+S1065UkmSJEmSJM24gaeVARmjrcbpuwW4uaqe6GtbVVWHk5wF3Jrkq1X1jeO+QbIN2AawatWqFiVJkiRpupyDSZIkaHfk0AhwZt/ySuDwOH23MOqUsqo63Px7H3Abx1+P6FifG6pqfVWtX7FiRYuSJEmSNF3OwSRJErQLh/YCa5OsSXICvQDoKXcdS/LzwDLgb/valiU5sXm8HHgZcM/osZIkSZIkSZobA08rq6qjSS4DbgGWADuq6kCS7cC+qjoWFF0M3FRV/aecPQ+4PsmT9IKoa/rvciZJkiRJkqS51eaaQ1TVLmDXqLYrRy3/5zHGfQl4/jTqkyRJkiRJ0ixqc1qZJEmSJEmSFinDIUmSJEmSpA4zHJIkSZIkSeowwyFJkiRJkqQOMxySJEmSJEnqMMMhSZIkSZKkDjMckiRJkiRJ6jDDIUmSJEmSpA4zHJIkSZIkSeowwyFJkiRJkqQOMxySJEmSJEnqMMMhSZIkSZKkDjMckiRJkiRJ6jDDIUmSJEmSpA4zHJIkSZIkSeowwyFJkiRJkqQOMxySJEmSJEnqsFbhUJKNSQ4mOZTk8jHWX5Lke0nuar5+s2/d1iRfb762zmTxkiRJkiRJmp6lgzokWQJcB1wAjAB7k+ysqntGdf14VV02auxpwFXAeqCAO5uxD85I9ZIkSZIkSZqWNkcObQAOVdV9VfU4cBOwueXzXwTsrqojTSC0G9g4tVIlSZIkSZI009qEQ2cA9/ctjzRto/1KkruT3JzkzEmOlSRJkiRJ0hxoEw5ljLYatfxZYHVVvQD4HHDjJMaSZFuSfUn2fe9732tRkiRJkqbLOZgkSYJ24dAIcGbf8krgcH+HqvpBVT3WLP4p8OK2Y5vxN1TV+qpav2LFira1S5IkaRqcg0mSJGgXDu0F1iZZk+QEYAuws79DktP7FjcBX2se3wJcmGRZkmXAhU2bJEmSJEmS5oGBdyurqqNJLqMX6iwBdlTVgSTbgX1VtRP47SSbgKPAEeCSZuyRJFfTC5gAtlfVkVn4OSRJkiRJkjQFA8MhgKraBewa1XZl3+MrgCvGGbsD2DGNGiVJkiRJkjRL2pxWJkmSJEmSpEXKcEiSJEmSJKnDDIckSZIkSZI6zHBIkiRJkiSpwwyHJEmSJEmSOsxwSJIkSZIkqcMMhyRJkiRJkjrMcEiSJEmSJKnDDIckSZIkSZI6zHBIkiRJkiSpwwyHJEmSJEmSOsxwSJIkSZIkqcMMhyRJkiRJkjrMcEiSJEmSJKnDDIckSZIkSZI6zHBIkiRJkiSpw5bOdQGSJC00+/fvn+sShmLdunVzXYIkSZKGoNWRQ0k2JjmY5FCSy8dY/44k9yS5O8nnkzynb90TSe5qvnbOZPGSJEmSJEmanoFHDiVZAlwHXACMAHuT7Kyqe/q6/R2wvqoeSfJW4D3ArzXrflJVL5zhuiVJkiRJkjQD2hw5tAE4VFX3VdXjwE3A5v4OVfWFqnqkWdwDrJzZMiVJkiRJkjQb2oRDZwD39y2PNG3juRT4q77lk5LsS7InyWunUKMkSZIkSZJmSZsLUmeMthqzY/JGYD3wir7mVVV1OMlZwK1JvlpV3xg1bhuwDWDVqlWtCpckSdL0OAeTJEnQ7sihEeDMvuWVwOHRnZKcD7wT2FRVjx1rr6rDzb/3AbcB540eW1U3VNX6qlq/YsWKSf0AkiRJmhrnYJIkCdqFQ3uBtUnWJDkB2AIcd9exJOcB19MLhh7oa1+W5MTm8XLgZUD/hawlSZIkSZI0hwaeVlZVR5NcBtwCLAF2VNWBJNuBfVW1E3gv8HTgk0kAvlVVm4DnAdcneZJeEHXNqLucSZIkSZIkaQ61ueYQVbUL2DWq7cq+x+ePM+5LwPOnU6AkSZIkSZJmT6twSJJm0/79++e6hKFYt27dXJcw67qyLyVJkqTFpM01hyRJkiRJkrRIGQ5JkiRJkiR1mOGQJEmSJElShxkOSZIkSZIkdZjhkCRJkiRJUocZDkmSJEmSJHWY4ZAkSZIkSVKHGQ5JkiRJkiR1mOGQJEmSJElShy2d6wKGbf/+/XNdwqxbt27dXJcwFO5LLTRd+D8rSZIkaeHxyCFJkiRJkqQOMxySJEmSJEnqMMMhSZIkSZKkDjMckiRJkiRJ6jDDIUmSJEmSpA4zHJIkSZIkSeqwVuFQko1JDiY5lOTyMdafmOTjzfrbk6zuW3dF034wyUUzV7okSZIkSZKma2A4lGQJcB3wauAc4OIk54zqdinwYFU9F7gWeHcz9hxgC3AusBH4QPN8kiRJkiRJmgfaHDm0AThUVfdV1ePATcDmUX02Azc2j28GXpUkTftNVfVYVf09cKh5PkmSJEmSJM0DbcKhM4D7+5ZHmrYx+1TVUeAh4Bktx0qSJEmSJGmOLG3RJ2O0Vcs+bcaSZBuwrVl8OMnBFnVp6pYD35/rIjQh99H85z6a/9xH89tz5roAOQdrwd8jw+c2H64ObO+x/iSdMx3Y3vOK2/upxp1/tQmHRoAz+5ZXAofH6TOSZCnwc8CRlmOpqhuAG1rUohmQZF9VrZ/rOjQ+99H85z6a/9xH0mDOwSbm75Hhc5sPl9t7uNzew+X2npw2p5XtBdYmWZPkBHoXmN45qs9OYGvz+HXArVVVTfuW5m5ma4C1wB0zU7okSZIkSZKma+CRQ1V1NMllwC3AEmBHVR1Ish3YV1U7gT8DPpLkEL0jhrY0Yw8k+QRwD3AUeHtVPTFLP4skSZIkSZImqc1pZVTVLmDXqLYr+x4/CvzqOGP/APiDadSomefh4/Of+2j+cx/Nf+4jSdPl75Hhc5sPl9t7uNzew+X2noT0zv6SJEmSJElSF7W55pAkSZIkSZIWKcOhRS7JC5PsSXJXkn1JNjTtSfJfkxxKcneSF/WN2Zrk683X1vGfXTMlyW8lOZjkQJL39LVf0eyjg0ku6mvf2LQdSnL53FTdPUl+N0klWd4s+zqaJ5K8N8n/afbDp5Oc2rfO15GkVpKclmR387t7d5JlE/Q9Jcm3k/zxMGtcbNps82Y++7fNPOnuJL82F7UuZIPe85obCH28WX97ktXDr3LxaLG935Hknub/8+eTjHt7cQ3Wdk6X5HXNXN47mI3BcGjxew/wX6rqhcCVzTLAq+ndPW4tsA34IPTeoIGrgJcAG4CrJpoYafqSvBLYDLygqs4F3te0n0Pv4u7nAhuBDyRZkmQJcB29fXgOcHHTV7MoyZnABcC3+pp9Hc0fu4F1VfUC4F7gCvB1JGnSLgc+X1Vrgc83y+O5GvjiUKpa3Nps80eANzfzpI3AH/Z/CKCJtXzPuxR4sKqeC1wLvHu4VS4eLbf33wHrm3nLzfz0bzRNUts5XZKTgd8Gbh9uhQuH4dDiV8ApzeOfAw43jzcDH66ePcCpSU4HLgJ2V9WRqnqQ3h9cG4dddMe8Fbimqh4DqKoHmvbNwE1V9VhV/T1wiF7QsAE4VFX3VdXjwE1NX82ua4H/QO81dYyvo3miqv66qo42i3uAlc1jX0eSJmMzcGPz+EbgtWN1SvJi4FnAXw+prsVs4Davqnur6uvN48PAA8CKoVW48LV5z+vfDzcDr0qSIda4mAzc3lX1hap6pFnsn7do8trO6a6mF8I9OsziFhLDocXv3wLvTXI/vSNSrmjazwDu7+s30rSN167Zczbw8uYQ3i8m+cWm3X00TyTZBHy7qr4yapX7aH76l8BfNY/dR5Im41lV9R2A5t9nju6Q5GnA+4F/P+TaFquB27xfepdIOAH4xhBqWyzavOf9/z7Nhy0PAc8YSnWLz2TnGJfy03mLJm/g9k5yHnBmVf3PYRa20LS6lb3mtySfA549xqp3Aq8Cfqeq/jzJ64E/A84HxvokoCZo1zQM2EdLgWXAS4FfBD6R5CzG3xdjhbruo2kasI/+E3DhWMPGaPN1NEsm2kdV9RdNn3cCR4GPHhs2Rn9fR1KHDfh938bbgF1Vdb8HVrQzA9v82POcDnwE2FpVT85EbR3RZl7i3GXmtN6WSd4IrAdeMasVLW4Tbu8m0L8WuGRYBS1UhkOLQFWdP966JB8G/k2z+EngvzWPR4Az+7qupHfK2QjwS6Pab5uhUjtrwD56K/CpqirgjiRPAssZfx8xQbumaLx9lOT5wBrgK80fASuBLzefXPo6GqKJXkfQuwg48BrgVc3rCXwdSRplwHvyd5OcXlXfaYKIB8bo9k/oHfH7NuDpwAlJHq4qL2w/jhnY5iQ5BfhL4F3Nqdxqb6L3wtF9RpIspXc5iiPDKW/RabO9SXI+vYD0FccuL6EpGbS9TwbWAbc1c/lnAzuTbKqqfUOrcgHwtLLF7zA/TaL/GfD15vFO4M3peSnwUHMo7y3AhUmWNRfQvbBp0+z5DL19Q5Kz6R0q/X16+2hLc/eINfQuenwHsBdYm2RNkhPoXWx355xU3gFV9dWqemZVra6q1fTegF5UVf+Ar6N5I8lG4D8Cm/rO4QdfR5ImZydw7A6TW4G/GN2hqt5QVaua94TfpXftOYOhqRu4zZvf05+mt60/OcTaFos273n9++F1wK19H7RocgZu7+Y0p+vpzVvGDETV2oTbu6oeqqrlfXP5PfS2u8HQKB45tPj9K+CPmk8AHqV3RyWAXcAv07s46yPAbwBU1ZEkV9N7kQFsryo/NZhdO4AdSfYDj9M7VLqAA0k+AdxD7zSZt1fVEwBJLqMXNiwBdlTVgbkpvfN8Hc0ffwycCOxuPhXaU1VvqSpfR5Im4xp6p3dfSu/ulL8K0Nz2+C1V9ZtzWdwi1Wabvx74p8AzklzSjLukqu6ag3oXnKo6OtZ7XpLtwL6q2knv0hMfSXKI3hFDW+au4oWt5fZ+L70jDz/ZzFu+VVWb5qzoBazl9lYLMRCWJEmSJEnqLk8rkyRJkiRJ6jDDIUmSJEmSpA4zHJIkSZIkSeowwyFJkiRJkqQOMxySJEmSJEnqMMMhSZIkSZKkDjMckiRJkiRJ6jDDIUmSJEmSpA77f16YENYn3NLDAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFkAAABYCAYAAACeV1sKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAALI0lEQVR4nO2cW2wVxx3Gf398jrG5BBsDNuDEXENqcRUVRcBDpaoS6kOSPhA1lUoVVYKHErVSH2r1qU8IiYLUBFGJqpFaVNQitVLLUyWi9iGK0gTCpQTErVzqBGzuxg5gH+/04fjbPTv2sQ0mc7jsJ1nHuzs7u+d/vvnmm//MrjnnyPDVYlylb+B5QBbkAMiCHABZkAMgC3IAZEEOgDEF2czWm9lpMztnZm2P66aeNdij+mQzqwLOAN8G2oFPgDedcycf3+09G8iN4dxVwDnn3H8BzOxPwGtA2SBXVVW5XC5Hb28vAOPHjwfgwYMHAIwbV2xYZgaACBBFkc5PlSsUCqnt/v7+0muljvX19Q37ZfxrCv49VldXA6S+Q19fH/39/Vau7rEEeTbwv5LtduAbfiEz2wRsguIXb2pq4vLlywDMmTMHgNOnTwMwadKk4k3lirelIHZ1dQEwZcoUIPnit2/fBqC2tjZVrlAoxGUnTJhQvLn2diAJun44oaamBoB79+6l9jc3NwNw/vx5AGbNmgXAxYsX4++g/8thLEEe6pcbpD3OuT3AHoDq6moXRVEcpLlz5wJJkBUkBdmHgn7z5k0AZs6cCcC1a9dSx6dOnRqX8aEfRMwU44VFixal9p88eTKuExgU0LNnzw76wXyMpeNrB14s2W4GvhhDfc8sxtLx5Sh2fN8CPqfY8X3fOffZMOc4gMWLFwNFFkCil3V1dUAiA2LI/PnzgYR9avpCY2Njqh5IWkVLSwuQNHdBreDKlStAIl0+U3VtXVP38MILL8SfHR0d9Pb2Pn5Nds4VzGwL8A+gCnhvuAA/z3hkJj/SxczcuHHjYsbW19cDMHnyZACOHj2aKu93gBMnTkwdl26KtdL6vr6+uLUcP348dUxMVN1qLfrUfnVw3d3dAPT09ACwcOFCgLjz/vLLLykUCjjnyjI5G/EFwFjcxSMhiiJaW1sB+PDDDwHI5/OpMtLYjo6O1H5fD30HoeOQuAJBHloW7pVXXgHgxIkTqXJivJi6Zs0aAD766CMg0X25FGnycMiYHABBNfnll19277zzTqxzDQ0NANy6dQtIGC13oVGYNHvbtm0AnDlzBki0WNostlZVVTF9+nSgqJmQsF5Mle9Vv6A6NXiRNvvnqV/wW1GmyRVGUE3u7e2lvb09Zpxchnpu6Z1GcC+99BKQaO3GjRtT9WnI++qrrwKwfPlyoOhSfC8tZkqTpaPyyYJahyDGq5Xp3h4GGZMDICiT8/k8jY2NfPFFevR9584dIGG2dE96Kc2W6xDbxNZ9+/YByehu7dq1MQOlpTpHCSBpthitEaC0VjkM+WxBLWLevHlxed1/OWRMDoCgTDYz8vl8rG9Xr14FYNmyZQAcPnwYSDysz3i5CI3O5FWl6cpPvPvuuzFjlyxZAiR6L/0Wg6X7cjzSf/ls5S4uXboEJKNPpUbLZftKkTE5AIL65AULFrgdO3bE+igNFsvEIvlkuZAtW7YAsHfvXiDRbLUIfcoTP3jwIL6G6m5qagISBr799tsAzJgxA4CPP/4YIB6N+nlkabt8tDx8Z2cn3d3dw86MZEwOgKBMbmlpcW1tbbG/FTvkEsQ6sUVMF2tKR3Sl22Jt6WhMLkDaLLarjKa6pNHl8iXKk+ga/vRVbW0t9+/fJ4qijMmVRFB3UVNTQ2tra6x3ytlKi8XMFStWAEl+udSTQuJKpJc6Ty6jrq6OGzduAIlOa2JV7uDQoUOpOjSSE9NVl1qEP5Oi7SiKRpwJz5gcAMFzFxcuXIg1WWzzp/SPHDkCJJotNmqtg/RT0MhQvvrOnTuxBss9lDoPgO3btwOJZovB2vbn/KTFguopFApf6Wx1hlEiKJOjKOLevXuDfLFYJ33UrITyzRqNiU3SSX81j/LONTU18TVU986dO4Fkhlz7xUIxWI5G2/5coCBtHw0qkiDSYENyoGAq6Fr0os5HwZ02bRoA9+/fBxJ5UQBUrq6uLpaO3bt3A8kCGn9hjT/9pMSRbKXsoh9UdXx+SnUoZHIRAEGZ7JxLMcJfrCIWiT1iXWdnZ6oefxpfFk5N++7duxw4cABIWoOwcuVKAI4dO5a6hiDGK9UpaycZ0WBF5fxlCkMhY3IABE915nK5mBWC2KFBiiya3zFq8CLtVQcpqPyECRNYv349kHSmBw8eBJKp/VWrVqW2Vac+xVTZS9XjD7v9BYtDIWNyAARlcn9/P11dXbGbEMRsMVbbYpWfrNd+ldegRkyvra2NtXbDhg0A7N+/P3VNabJajT8gEjSUP3fuHDD0sFsJrHLImBwAwZdplUKDDDFS7sBPuIv55ZL9ghJH8+bNGzTI0MKYtrbi80NyMmoVYqyfrBKkyfL45Ra5DIWMyQEwIpPN7EXgD0ATEAF7nHO/NrOpwJ+BOcBF4A3n3K3h6srn8zQ3N8dsUHJerJGHFqN1XIxXol36qW21BJW7fv16fE2xfvPmzal7kTNRskrX9If8gs/YhxlWj4bJBeBnzrmvAauBH5tZK9AGvO+cWwi8P7CdYQiMyGTn3BXgysD/d83sFMUnn14DvjlQ7PfAv4CfD1dXFEV0dXXFPb+vyZrq0X65Cn2KlRohqrxYJ4bX19fz1ltvpa69evVqIEmHisn+sgPlNDTS892G4D8VNRweSpPNbA6wAvg30DjwA+iHmFHmnE1mdsjMDo200uZZxajdhZlNAv4C/NQ51zWSNxRKHzFrbm52Z8+ejReMSNf8bFu5JLjYJeZKJzXNr6UDPT09sf+Vh9Z0k5Lxgr9QRvAnZ3WPaj26l1wuN6I+j4rJZpanGOA/Ouf+OrC7w8xmDhyfCXSWO/95x2jchQG/A04553aWHPo78ENg28Dn30aqq7q6mtmzZw+aXhe0ZEo5Xn9aXzq4a9cuIHkcQvWUPoyjHIM/OtR0kvLBKqfj0mj5YrUWtQzVJ4c0GpcxGrlYC/wA+I+Z6fGkX1AM7n4z+xFwGdgwirqeSwR/xAxg3bp1AHzwwQdAwg4xdOvWrUDiJtSD+889i+kaEUp/C4VCfEwaKuYJYq7vh6XNYq6Y7LsMX6uzxxkqjKBMrq2tdQsWLIgnM8UW6aC/MFtZNbFGPbpYqQcXta0W4T+iUFqH72TEaI305OH9VqP+Qv5amg3FJQiFQiFjciURlMn5fN41NDQMeoRAjNayLOmi2OS/PsF/uFLzcXIlS5cujesqncGGRGOl2arLZ66u6bcuPzvX0NDAjRs36Ovry5hcSQR3F7lcLn6AptyrFXzI/2oO0H89jlDaAvwH1oVy++XBlZMWNEKUlkvvS/MsURRl7qLSqKgmi3nyudJNMVbbYpke9/J7ej8b57MUEgarFagfUB3KYZRjur8YXFDuImNyhRFak68BPcD1kco+wZjG4Ptvcc5NL3dC0CADmNkh59zXg170MeJR7j+TiwDIghwAlQjyngpc83Hioe8/uCY/j8jkIgCyIAdAsCA/jS+0NrMXzeyfZnbKzD4zs58M7P+lmX1uZkcH/r4zbD0hNPlpfaH1wCz8TOfcp2Y2GTgMvA68AXQ75341mnpCMTl+obVzrhfQC62faDjnrjjnPh34/y6g1VMPhVBBHuqF1g99s5WEt3oKYIuZHTez98ysfrhzQwV5VC+0flLhr54CfgPMB5ZTXCe4Y7jzQwX5qX2h9VCrp5xzHc65fudcBPyWohyWRaggfwIsNLO5ZlYNfI/iCqQnGuVWT2l52gC+C5zwzy1FkMcZnuIXWpdbPfWmmS2nKHkXgc1Dn15ENqwOgGzEFwBZkAMgC3IAZEEOgCzIAZAFOQCyIAfA/wF7BboQ6nnY7wAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAABIEAAACcCAYAAADoMbuXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAASXklEQVR4nO3dfbBc510f8O8v0tjJ5IUELAhIFhJTmUZRSVI0JjQtpU0gMsPY0ELHZlKSwRMVWrczDe0gJq7J2GXaJGWYFtxSU9y8TBtjGBI0oMS8BYZ2MFgpSSrZKKMYUgsHEoLjxpDYVfLrH3cFq+v7svfec7VX93w+Mzs+59lnz3nuefZof/nmnN3q7gAAAACwvT1j3gMAAAAAYPMJgQAAAABGQAgEAAAAMAJCIAAAAIAREAIBAAAAjIAQCAAAAGAEhEDAoKrqYFWd3ITtXllVv1dVXzr0tgEALndVtauqzlTVMwferhoMthEhELCiqvriqnp3Vf1ZVX2sqr5rlZfckeTfTb3+lqo6WVVPVtXbZtjfP6+qP6qqx6vq7qq6Mkm6+8kkdyf5gQ38OQAAl4W11lBJjiX5r939ucnrr5zUUv93Ulu9YZX9qcFgBKq75z0GYAurqndlITC+OclLk/xikr/R3aeX6PvlSU4n+YqpAuTvJflCklcneVZ3v26Ffb06yTuS/N0kjyZ5d5L7u/vY5Pk9ST6YZPekIAEA2JbWWENdmeQPk7y0u89N2v5Nkr+Z5PokL0zy/iSv6+73LfF6NRiMhCuBgGVV1bOT/P0k/6q7n+ju/5HkeJJ/uMxLvinJ/7oQACVJd/9cd78nyadm2OVrk/xUd5/u7seycFXR66a2dS7JY0levp6/BwDgcrHGGurrknz6QgA08d1J7ujux7r7oSQ/mam6ahE1GIyEEAhYyTVJPt/dH5lq+1CSFy/T/68lObOB/b14sv3pfX1ZVX3JVNtDSV6ygX0AAGw3F9VgVfWCJF+Rp9dVy9VwajAYCSEQsJLnJHl8UdvjSZ67TP/nJ/nMgPu7sDy9v89M9gMAwILFNdhzJv9dXFctV8OpwWAkhEDASp5I8rxFbc/L8kHPY1m+uFjP/i4sT+/vuUk+vYF9AABsN4trsCcm/11cVy1Xw6nBYCSEQMBKPpJkZ1UdmGp7SRa+/HkpH87CLWTrdToXX2b8kiR/3N3T98K/KBdfrgwAMHYX1WCT7/X5eJ5eVy1Xw6nBYCSEQMCyuvvPkvxcktur6tlV9YokNyR55zIv+eUkf72qnnmhoap2TtZ3JNlRVc+sqp3LvP4dSW6uqoOTe9lvTfK2qW3tTvLFSe7f4J8GALClrbGG+p0kz5/UShe8I8mtVfWCqvqrSV6fqbpqETUYjIQQCFjNP07yrCSfSPKuJN+31M/DJ0l3/3GSX8tCUHTBrUk+m+RYktdMlm9NkqraW1VPVNXeyevfl+QtWfgJ049NHj80ta3vSvJ2P00KAIzAsjXUYt39VBZCm9dMNf9Qko9moZ76jSRvvfDz8GowGK/q7nmPAdhGqupgkrcnubYH/Aemqq7MwiXI39DdnxhquwAA20FV7Urym0le1t2fHXC7ajDYRoRAAAAAACPgdjAAAACAERACAQAAAIyAEAgAAABgBIRAAAAAACOwc147vuqqq3rfvn3z2j0AsMk+8IEP/El375r3OLiYGgwAtreVarCZQqCqOpLk3yfZkeS/dPe/XfT83iz8JPTzJ32OdfeJlba5b9++nDx5cpbdAwCXoar62LzHwNOpwQBge1upBlv1drCq2pHkziTXJTmY5KaqOrio261J7u3ulyW5Mcl/XP9wAQAAABjaLN8JdG2Ss939cHc/leSeJDcs6tNJnjdZ/qIkjw43RAAAAAA2apbbwXYneWRq/VySr1vU501Jfqmq/mmSZyd51SCjAwAAAGAQs4RAtURbL1q/KcnbuvtHqurrk7yzqg519xcu2lDV0SRHk2Tv3r3rGS8AXDJf+KNr5j2ETfeMF35k3kPgElCDAQDJbLeDnUty9dT6njz9dq+bk9ybJN39W0memeSqxRvq7ru6+3B3H961y4+FAABcCmowACCZLQR6IMmBqtpfVVdk4Yufjy/q83+SvDJJqupFWQiBPjnkQAEAAABYv1VDoO4+n+SWJPcleSgLvwJ2uqpur6rrJ92+P8nrq+pDSd6V5HXdvfiWMQAAAADmZJbvBEp3n0hyYlHbbVPLDyZ5xbBDAwAAAGAos9wOBgAAAMBlTggEAAAAMAJCIAAAAIAREAIBAAAAjIAQCAAAAGAEhEAAAAAAIyAEAgAAABgBIRAAAADACAiBAAAAAEZACAQAAAAwAkIgAAAAgBEQAgEAAACMgBAIAAAAYASEQAAAAAAjIAQCAAAAGAEhEAAAAMAICIEAAAAARmCmEKiqjlTVmao6W1XHlunzD6rqwao6XVX/fdhhAgAAALARO1frUFU7ktyZ5JuSnEvyQFUd7+4Hp/ocSPKDSV7R3Y9V1Zdu1oABAAAAWLtZrgS6NsnZ7n64u59Kck+SGxb1eX2SO7v7sSTp7k8MO0wAAAAANmKWEGh3kkem1s9N2qZdk+SaqvqfVXV/VR0ZaoAAAAAAbNyqt4MlqSXaeontHEjyjUn2JPnNqjrU3Z++aENVR5McTZK9e/euebAAAKydGgwASGa7Euhckqun1vckeXSJPj/f3f+vu38/yZkshEIX6e67uvtwdx/etWvXescMAMAaqMEAgGS2EOiBJAeqan9VXZHkxiTHF/V5T5K/kyRVdVUWbg97eMiBAgAAALB+q4ZA3X0+yS1J7kvyUJJ7u/t0Vd1eVddPut2X5FNV9WCS9yf5l939qc0aNAAAAABrM8t3AqW7TyQ5sajttqnlTvKGyQMAAACALWaW28EAAAAAuMwJgQAAAABGQAgEAAAAMAJCIAAAAIAREAIBAAAAjIAQCAAAAGAEhEAAAAAAIyAEAgAAABgBIRAAAADACAiBAAAAAEZACAQAAAAwAkIgAAAAgBEQAgEAAACMgBAIAAAAYASEQAAAAAAjIAQCAAAAGAEhEAAAAMAIzBQCVdWRqjpTVWer6tgK/b6jqrqqDg83RAAAAAA2atUQqKp2JLkzyXVJDia5qaoOLtHvuUn+WZLfHnqQAAAAAGzMLFcCXZvkbHc/3N1PJbknyQ1L9LsjyVuSfG7A8QEAAAAwgFlCoN1JHplaPzdp+wtV9bIkV3f3Lww4NgAAAAAGMksIVEu09V88WfWMJD+a5PtX3VDV0ao6WVUnP/nJT84+SgAA1k0NBgAks4VA55JcPbW+J8mjU+vPTXIoya9X1R8keXmS40t9OXR339Xdh7v78K5du9Y/agAAZqYGAwCS2UKgB5IcqKr9VXVFkhuTHL/wZHc/3t1Xdfe+7t6X5P4k13f3yU0ZMQAAAABrtmoI1N3nk9yS5L4kDyW5t7tPV9XtVXX9Zg8QAAAAgI3bOUun7j6R5MSittuW6fuNGx8WAAAAAEOa5XYwAAAAAC5zQiAAAACAERACAQAAAIyAEAgAAABgBIRAAAAAACMgBAIAAAAYASEQAAAAwAgIgQAAAABGYOe8BwAAAACQJKdOnZr3EC6JQ4cOzWW/rgQCAAAAGAEhEAAAAMAICIEAAAAARkAIBAAAADACQiAAAACAERACAQAAAIyAEAgAAABgBIRAAAAAACMwUwhUVUeq6kxVna2qY0s8/4aqerCqPlxVv1pVXzn8UAEAAABYr1VDoKrakeTOJNclOZjkpqo6uKjb7yY53N1fk+Rnk7xl6IECAAAAsH6zXAl0bZKz3f1wdz+V5J4kN0x36O73d/efT1bvT7Jn2GECAAAAsBGzhEC7kzwytX5u0racm5O8dyODAgAAAGBYO2foU0u09ZIdq16T5HCSv73M80eTHE2SvXv3zjhEAAA24lLVYKdOndq0bW8lhw4dmvcQYGbOS2DaLFcCnUty9dT6niSPLu5UVa9K8sYk13f3k0ttqLvv6u7D3X14165d6xkvAABrpAYDAJLZQqAHkhyoqv1VdUWSG5Mcn+5QVS9L8p+zEAB9YvhhAgAAALARq4ZA3X0+yS1J7kvyUJJ7u/t0Vd1eVddPur01yXOS/ExVfbCqji+zOQAAAADmYJbvBEp3n0hyYlHbbVPLrxp4XAAAAAAMaJbbwQAAAAC4zAmBAAAAAEZACAQAAAAwAkIgAAAAgBEQAgEAAACMgBAIAAAAYASEQAAAAAAjIAQCAAAAGIGd8x7AZjjyNbfOewiXxPs+/K/nPQRgEf/+AGx/p06dmvcQGMihQ4fmPQQGMpbz0nuWjXIlEAAAAMAICIEAAAAARkAIBAAAADACQiAAAACAERACAQAAAIyAEAgAAABgBIRAAAAAACMgBAIAAAAYgZlCoKo6UlVnqupsVR1b4vkrq+qnJ8//dlXtG3qgAAAAAKzfqiFQVe1IcmeS65IcTHJTVR1c1O3mJI91919J8qNJ3jz0QAEAAABYv1muBLo2ydnufri7n0pyT5IbFvW5IcnbJ8s/m+SVVVXDDRMAAACAjZglBNqd5JGp9XOTtiX7dPf5JI8n+ZIhBggAAADAxu2coc9SV/T0Ovqkqo4mOTpZfaKqzsywf5Z2VdUP/8m8B8FFrkpiTrYWc7JJqn54vS81J1tObeacfOUmbZc1UoOtmX+rhuE4DsNxHI5jOQzHcRhzqcFmCYHOJbl6an1PkkeX6XOuqnYm+aIkf7p4Q919V5K7Ztgnq6iqk919eN7j4C+Zk63HnGw95mTrMSfjoAZbG+fFMBzHYTiOw3Esh+E4DmNex3GW28EeSHKgqvZX1RVJbkxyfFGf40leO1n+jiS/1t1PuxIIAAAAgPlY9Uqg7j5fVbckuS/JjiR3d/fpqro9ycnuPp7kp5K8s6rOZuEKoBs3c9AAAAAArM0st4Olu08kObGo7bap5c8l+c5hh8YqXNK99ZiTrcecbD3mZOsxJ/B0zothOI7DcByH41gOw3EcxlyOY7lrCwAAAGD7m+U7gQAAAAC4zAmBtriqemtV/V5Vfbiq3l1Vz5967ger6mxVnamqV0+1H5m0na2qY/MZ+fZVVd9ZVaer6gtVdXiqfV9VfbaqPjh5/MTUc19bVf97Mif/oapqPqPfnpabk8lzzpMtoKreVFV/OHV+fMvUc0vOEZvPecDYLVdn+UxfOzXrMNSZw1AbDk8tN6y5vt+622MLP5J8c5Kdk+U3J3nzZPlgkg8luTLJ/iQfzcIXd++YLH9VkismfQ7O++/YTo8kL0ry1Ul+PcnhqfZ9SU4t85rfSfL1SSrJe5NcN++/Yzs9VpgT58kWeSR5U5J/sUT7knM07/GO4eE88PBYsc7ymT7csfRZvLbjqM7c3OPo/bj+Y6qWG+5YzvX95kqgLa67f6m7z09W70+yZ7J8Q5J7uvvJ7v79JGeTXDt5nO3uh7v7qST3TPoykO5+qLvPzNq/qr48yfO6+7d64ax/R5Jv27QBjtAKc+I82fqWmyM2n/OA0VuhzlqSz/TlqVmHoc4chtrwklLLrd1c329CoMvL92Qh3U+S3UkemXru3KRtuXYujf1V9btV9RtV9bcmbbuzMA8XmJNLx3mytdwyuU3g7qp6waTNXMyPYw8Xm66zEp/pG6Fm3Rzekxvn/bgxarlhzPWYzfQT8WyuqvqVJC9c4qk3dvfPT/q8Mcn5JP/twsuW6N9ZOtjzE3BrNMucLOHjSfZ296eq6muTvKeqXpzl54o1WOecOE8uoZXmKMl/SnJHFo7zHUl+JAv/I8H5MT+OPaOwzjrLZ/oS1KzDUGcOQ204PLXcJTPXYyYE2gK6+1UrPV9Vr03yrUleObnMM1lIC6+e6rYnyaOT5eXamdFqc7LMa55M8uRk+QNV9dEk12RhrqYvLzcn67CeOYnz5JKadY6q6ieT/MJkdaU5YnM59ozCeuosn+lLU7MOQ505DLXh8NRyl8xcj5nbwba4qjqS5AeSXN/dfz711PEkN1bVlVW1P8mBLHwp3ANJDlTV/qq6IsmNk75ssqraVVU7JstflYU5ebi7P57kM1X18smvNXx3kuX+3wmG5TzZIibfWXDBtyc5NVlebo7YfM4DRm+5Ostn+tqpWTeX9+RgvB/XSS03qLm+31wJtPX9eBa+af2XF/5dz/3d/b3dfbqq7k3yYBYuuf0n3f35JKmqW5Lcl4VvHb+7u0/PZ+jbU1V9e5IfS7IryS9W1Qe7+9VJviHJ7VV1Psnnk3xvd//p5GXfl+RtSZ6VhXvk3/u0DbNuy82J82RLeUtVvTQLl7r+QZJ/lCQrzRGbq7vPOw9g6TorPtPXQ806AHXmMNSGm0ItN5B512D1l1dqAgAAALBduR0MAAAAYASEQAAAAAAjIAQCAAAAGAEhEAAAAMAICIEAAAAARkAIBAAAADACQiAAAACAERACAQAAAIzA/wfGMurHA+RPTgAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFkAAABYCAYAAACeV1sKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAALlUlEQVR4nO2cb2yV1R3HP7/b25YCLVAp7RUq/4QKMcYpzumIWVxmDAlxezEzZ/aKxL2YyUyWbGavFg2Jyf4ke0XCxEQiybbEP5nGhETdMJq4CAisjn8VEItAkVJK0ba2PXtx7/c595723ta2Oy3wfJPm9rn3nPM899zv+Z7v+Z3f85hzjhT/X2Rm+gJuBKSdHAFpJ0dA2skRkHZyBKSdHAFT6mQze9jMjppZh5k9PV0Xdb3BJuuTzawKOAb8AOgEPgQec879d/ou7/pAdgp1vw10OOdOAJjZX4FHgLKdbGYOoKqqCoDh4WHGOi4qD4CIUFNTA8Dg4CAAtbW1AAwMDJSUz2b91/r666/HbDOTyYx5zurq6jHr6VxDQ0Nj1nPO2Zhfmql18lLgs6LjTuDesJCZPQE8UXTM/PnzAbh8+TLAqGNhzpw5AHz11VcA3HzzzQB8+umnAKxYsQKAo0eP5r9MoXNbWlqSzjh79mxJmyrT0NAAwMWLFwH/Qy9evBiAc+fOAf7HaG1tBeDSpUuj6oUdHmIqnTzWLzdKe5xz24HthQtydXV1SQcI/f39FD4HPEv0BRcsWADAqVOnSup98cUXJcdiX2dnZ9JZN910E+B/sDNnzgDQ29tbUlc/tH6UtrY2wDO3o6MDgNWrVwO+k0dGRkZ1QoipTHydQGvR8TLg8ym0d91iKhNflvzE933gDPmJ76fOuY/L1ampqXEtLS189lleZW699VbAD2HJgjRXrJKOzp07F/DsUXnpaGNjIwA9PT2jdFrM7uvrAzxD1ZZGjUZDXV1dyTmam5sBOH/+fMl3am1t5dy5cwwODk6/JjvnhszsSWA3UAW8UKmDb2RMmsmTOlnBXQi33XYb4FklRh85cgTwuvjll18C8PnneTWSfqq8XsWyefPmcfXqVcDruSZVTWCaB9S2oHqaVDUPiNli/oYNGwB4//33gcruIl3xRcCMMlnskJ0S7r//fgDeeecdwDsBMXbhwoUl5S9cuABALpcDSm2b3MDp06cBr+vSZmmxXqXlwu233w6QzCNivrR7IpqcMjkCpuKTJ41wppabkD8+fPgwAIsWLRqzvpgrvdXrvHnzkjLyx/LSGgWhPxa0mhSTpd06l6B2xORMJpM4mHJImRwBUZlcV1dHW1tbslr64IMPAD+THzp0CPAarRl8y5YtALz00kuAZ5mWvlpua1VWVVWVnEMxBzkSaXK4YpOrUNvSYK1CxfTly5cD3gFls9mUybMBUd3FqlWr3NatW1m1ahXgvapm/p6eHsDHGeQiVE4M37hxI+C1vaWlBfBxiebm5sQ9iKHy5GKgGKq6mhd0DXIb+ry+vh6A9vZ2wI+QOXPm0NfXx9DQUOouZhJRNdnMyGaznDhxAvA6F8YVpJNyAmEs98CBAwC8+uqrAOzYsQPwbqS9vX2UTsp5yDd/8skngB8l0mhBo0RxEWn0vffmo7lyQsePHx/3e6dMjoDomvzMM88kehjGIrTSk7cN9VGrLR1LR+VdFdXbvHlz0qbYLyeiOhpFKqdzyV0oZiEmh5FCjS61OTIykmryTCK6JtfW1iaMlBaLTZr5lyxZAni9DKN03d3dgGeujvW6cePGxDN3dnYC3rFoRafYs3RfGqu4h+Igula5DB1Lo8X0SkiZHAFRmVxdXU0ul+Ojjz4C4I477gA8Y4Vly5YBfgX30EMPAbB3717AjwDVE8PFzrvvvpvXXnsN8AwN3Ua4PyjI2XR1dQFe/7VZW6zFKj/evJYyOQKiMnlgYICTJ0+yadMmwDP2jTfeKCknbRXee+89wMco5BCkpzrevXt38nrfffcBPqIX+mC1pdWmInlCmOMhLdZokXZns9lxd6xTJkdAdHdhZsmKT9E3vd51110A7N+/H4BbbrkF8M5A2it/LXY9++yzJe83NjYmTBTbQ00W+9auXQt4H629QGmv4ifhqrSpqankuBKidnImk6G+vj7ZdlKnyPjri8l2aag+8MADALz55psASYBJ1k8ZRRrymUxmVKhSk5Msl97XhKYgv6C29QPrWiRl69evB/KTcxrqnAWIyuRsNktjY2MyCYl5mgBDiOlithgsudmzZ09JOxrqly9fTpgaQgsbjZ6lS5cCnqkKJEmaNErC5EdZvNTCzRJEZXJVVRUNDQ0JOzTBXblyBfBbOwpHakIUazQJSScff/xxAPbt2wd4Nq5du5aDBw+WtKXFhyZEbZAq0K/RoCC/ltVCmJ4lC9jV1ZUyeTYgKpP7+/vp6OhIwonFugZ+k1O6qI1WsUZ2Kdze15aQnMPBgwcTiyVrJoQ50GJsmM4rRovBYcK5Rs+CBQvGtXEpkyMgKpOHh4fp7e1NPKjw4IMPAn5bSQxWSoCCNAqsayksfdVi5Pnnny8pBz6IVC4bXqMhTFDUq0aCQp2h2ygE7Ct+75TJETAuk82sFdgJtAAjwHbn3J/NrBH4G7ACOAU86py7VKmtTCZDdXX1qI3Sd999F/DMlTYriC9XIQ3XSBCTd+3aBXiWFaOcXxbEYEGarWvQKAqD8woUdXd3T4u7GAJ+5ZxbB3wH+IWZrQeeBt52zq0B3i4cpxgD4zLZOXcWOFv4/4qZHSZ/59MjwPcKxV4E/gX8plJbil1oBScmKmll3bp1gE/HUjxBnlazuII699xzD+C36eUoGhoaki1/abFWdlpFin2KoygWIdegUaZRFyYiKjbS1NSU3BFV9ntX/DSAma0AvgX8G2gu/AD6IZaUqfOEme01s73lMiqvd0w4JcDM5gN7gK3OuVfMrMc5t7Do80vOubFzXX0ZZ2YJi9566y3As0WuQWlY0sNt27YBsHPnTsC7B224ivHS3yNHjiRpWWK/4h3S2nAzVyvCcv2hcyjuotVpZ2cnw8PDU7+dwcyqgZeBXc65VwpvnzezXOHzHNA1kbZuRIzLZMsbwheBbufcU0Xv/x646Jx7rnDzeqNz7teV2spkMq6mpibRtzBlKrxZUm5DKzwxWOXDW3OLI2iqI8YqrrFmzRrAx5F184/Ka1tJ9ZTMEt56objy3Llzx004nMhi5LvAz4D/mNmBwnu/BZ4D/m5mW4DTwI8n0NYNiahpWrW1tS6Xy41aNWnbSTO74gRin3RU7kGRM7FKqzqVb2trS2Z/fSavrRiFYtha0SlGodGkxBkxPoRWhA0NDemNObMBM3KLmZi6cuVKwK/sNm/eDMDrr78O5JNUwDNcjkG6KeaKnXIKxWXCXRNB7xfXAe9GtLpUzCJ82oDqDw4O0t/fnyYczjRm5BYzMTJMlVIUTtDn0m4xXgnaYp3ciGb8gYGBZIUXpoDJgYj98s/abVFcJGS4oFEYtlsJKZMjIDqTzSxhnFxCeBuXIBciL3vs2DHAOwExXKyVjuZyucRTK8qmKFoYwQt9dLmVXziPnDx5Esi7i2mNXaSYHKK6i0wm47LZbKKHSp0No3KayYvjA+C1N7xRXaux4lRaxT2EcKdb16DRpOiaonThbWvhQ0bk2RUhTB/FMMOI7ZMvAFeBsTOwrw0sZvT1L3fONZWrELWTAcxsr3NuQ9STTiMmc/2pXERA2skRMBOdvH0Gzjmd+MbXH12Tb0SkchEBaSdHQLROvhYfaG1mrWb2TzM7bGYfm9kvC+//zszOmNmBwt+miu3E0ORr9YHWhV34nHNuv5nVA/uAHwKPAn3OuT9MpJ1YTE4eaO2cGwT0QOtZDefcWefc/sL/VwBlT30jxOrksR5o/Y0vdiYRZE8BPGlmh8zsBTOrmNQTq5Mn9EDr2YpC9tTLwFPOuV5gG7AauJN8nuAfK9WP1cnX7AOtx8qecs6dd84NO+dGgL+Ql8OyiNXJHwJrzGylmdUAPwH+Eenck0Yhe2oHcNg596ei94tvjfoR0F6pnSjbT9fwA63LZU89ZmZ3kpe8U8DPKzWSLqsjIF3xRUDayRGQdnIEpJ0cAWknR0DayRGQdnIE/A/a9NsB59Th9QAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAABIEAAACcCAYAAADoMbuXAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAAVg0lEQVR4nO3dfaxkZ30f8O+P3dogXoKJlxK8dtZRlpTFKRBWhpaG0vBmo8puXkjtQIAG4ZLWjVTSKkaAQbaqBEgVqa3b1CiEFxUcNw1kFZYY0kCURjHxuhi6a7NkcaBeTMAB4/Bq1/DrHzNLxtd37p37trN3zucjjfac5zxz5nnOc87M7/72OTPV3QEAAABgsT1k3g0AAAAAYOtJAgEAAAAMgCQQAAAAwABIAgEAAAAMgCQQAAAAwABIAgEAAAAMgCQQsKmqal9VHdqC/Z5eVZ+sqsdu9r4BALa7qtpVVUer6qGbvF8xGCwQSSBgRVX1mKp6b1V9vao+W1U/s8pTrk7yqxPPv7yqDlXVvVX19hle719X1V9W1T1V9baqOj1JuvveJG9L8ksb6A4AwLaw1hgqyRVJfrO7vzV+/unjWOqvx7HVq1d5PTEYDEB197zbAJzCquo9GSWMX5HkKUnen+Tvd/eRZep+X5IjSR4/EYD8RJLvJHlBkod198tXeK0XJHlnkh9LcmeS9ya5sbuvGG/fneSWJGeNAxIAgIW0xhjq9CSfS/KU7j4+LvvlJP8gyUVJHpfkw0le3t2/v8zzxWAwEGYCAVNV1cOT/GSS13f317r7fyU5kORnpzzleUn+94kEUJJ09+909/uSfGmGl3xZkt/o7iPdfXdGs4pePrGv40nuTvKM9fQHAGC7WGMM9fQkXzmRABp7aZKru/vu7r4tyVszEVctIQaDgZAEAlbyhCTf7u5PTZR9PMmTptT/4SRHN/B6Txrvf/K1/nZVfe9E2W1JnryB1wAAWDQPiMGq6owkj8+D46ppMZwYDAZCEghYySOS3LOk7J4kj5xS/9FJvrqJr3diefL1vjp+HQAARpbGYI8Y/7s0rpoWw4nBYCAkgYCVfC3Jo5aUPSrTEz13Z3pwsZ7XO7E8+XqPTPKVDbwGAMCiWRqDfW3879K4aloMJwaDgZAEAlbyqSQ7q2rvRNmTM/ry5+V8IqNbyNbrSB44zfjJSb7Q3ZP3wj8xD5yuDAAwdA+Iwcbf6/P5PDiumhbDicFgICSBgKm6++tJfifJVVX18Kp6ZpKLk7xrylM+lORHquqhJwqqaud4fUeSHVX10KraOeX570zyiqraN76X/XVJ3j6xr7OSPCbJjRvsGgDAKW2NMdSfJXn0OFY64Z1JXldVZ1TV30nyykzEVUuIwWAgJIGA1fyLJA9L8sUk70ny88v9PHySdPcXkvxhRomiE16X5JtJrkjykvHy65Kkqs6pqq9V1Tnj5/9+kjdn9BOmnx0/3jCxr59J8g4/TQoADMDUGGqp7r4vo6TNSyaK35Dk0xnFU3+U5C0nfh5eDAbDVd097zYAC6Sq9iV5R5LzexPfYKrq9IymID+ru7+4WfsFAFgEVbUryR8neWp3f3MT9ysGgwUiCQQAAAAwAG4HAwAAABgASSAAAACAAZAEAgAAABgASSAAAACAAdg5rxc+88wze8+ePfN6eQBgi918881/1d275t0OHkgMBgCLbaUYbG5JoD179uTQoUPzenkAYItV1Wfn3QYeTAwGAIttpRjM7WAAAAAAAyAJBAAAADAAkkAAAAAAAzC37wQCgFPdd/7yCfNuwpZ7yOM+Ne8mAABwkpgJBAAAADAAkkAAAAAAAyAJBAAAADAAkkAAAAAAAyAJBAAAADAAkkAAAAAAAyAJBAAAADAAMyWBquqCqjpaVceq6opltp9TVR+uqo9V1Seq6oWb31QAAAAA1mvVJFBV7UhyTZILk+xLcmlV7VtS7XVJru/upya5JMl/3uyGAgAAALB+s8wEOj/Jse6+vbvvS3JdkouX1Okkjxovf0+SOzeviQAAAABs1M4Z6pyV5I6J9eNJnr6kzhuTfLCq/lWShyd57qa0DgAAAIBNMctMoFqmrJesX5rk7d29O8kLk7yrqh6076q6rKoOVdWhu+66a+2tBQBgzcRgAEAyWxLoeJKzJ9Z358G3e70iyfVJ0t1/muShSc5cuqPuvra793f3/l27dq2vxQAArIkYDABIZksC3ZRkb1WdW1WnZfTFzweW1Pm/SZ6TJFX1xIySQP6bCQAAAOAUsWoSqLvvT3J5khuS3JbRr4AdqaqrquqicbVfTPLKqvp4kvckeXl3L71lDAAAAIA5meWLodPdB5McXFJ25cTyrUmeublNAwAAAGCzzHI7GAAAAADbnCQQAAAAwABIAgEAAAAMgCQQAAAAwABIAgEAAAAMgCQQAAAAwABIAgEAAAAMgCQQAAAAwABIAgEAAAAMgCQQAAAAwABIAgEAAAAMgCQQAAAAwABIAgEAAAAMgCQQAAAAwADMlASqqguq6mhVHauqK6bU+emqurWqjlTVuze3mQAAAABsxM7VKlTVjiTXJHlekuNJbqqqA91960SdvUlek+SZ3X13VT12qxoMAAAAwNrNMhPo/CTHuvv27r4vyXVJLl5S55VJrunuu5Oku7+4uc0EAAAAYCNmSQKdleSOifXj47JJT0jyhKr6k6q6saou2KwGAgAAALBxq94OlqSWKetl9rM3ybOT7E7yx1V1Xnd/5QE7qrosyWVJcs4556y5sQAArJ0YDABIZpsJdDzJ2RPru5PcuUyd3+3u/9fdf5HkaEZJoQfo7mu7e39379+1a9d62wwAwBqIwQCAZLYk0E1J9lbVuVV1WpJLkhxYUud9Sf5RklTVmRndHnb7ZjYUAAAAgPVbNQnU3fcnuTzJDUluS3J9dx+pqquq6qJxtRuSfKmqbk3y4ST/tru/tFWNBgAAAGBtZvlOoHT3wSQHl5RdObHcSV49fgAAAABwipnldjAAAAAAtjlJIAAAAIABkAQCAAAAGABJIAAAAIABkAQCAAAAGABJIAAAAIABkAQCAAAAGABJIAAAAIABkAQCAAAAGABJIAAAAIABkAQCAAAAGABJIAAAAIABkAQCAAAAGABJIAAAAIABmCkJVFUXVNXRqjpWVVesUO+nqqqrav/mNREAAACAjVo1CVRVO5Jck+TCJPuSXFpV+5ap98gkv5Dko5vdSAAAAAA2ZpaZQOcnOdbdt3f3fUmuS3LxMvWuTvLmJN/axPYBAAAAsAlmSQKdleSOifXj47LvqqqnJjm7u39vE9sGAAAAwCaZJQlUy5T1dzdWPSTJryX5xVV3VHVZVR2qqkN33XXX7K0EAGDdxGAAQDJbEuh4krMn1ncnuXNi/ZFJzkvykar6TJJnJDmw3JdDd/e13b2/u/fv2rVr/a0GAGBmYjAAIJktCXRTkr1VdW5VnZbkkiQHTmzs7nu6+8zu3tPde5LcmOSi7j60JS0GAAAAYM1WTQJ19/1JLk9yQ5Lbklzf3Ueq6qqqumirGwgAAADAxu2cpVJ3H0xycEnZlVPqPnvjzQIAAABgM81yOxgAAAAA25wkEAAAAMAASAIBAAAADIAkEAAAAMAASAIBAAAADIAkEAAAAMAAzPQT8QAAAHCqOnz48LybcFKcd955824C25yZQAAAAAADIAkEAAAAMACSQAAAAAADIAkEAAAAMACSQAAAAAADIAkEAAAAMACSQAAAAAADMFMSqKouqKqjVXWsqq5YZvurq+rWqvpEVf3Pqvr+zW8qAAAAAOu1ahKoqnYkuSbJhUn2Jbm0qvYtqfaxJPu7++8m+e0kb97shgIAAACwfrPMBDo/ybHuvr2770tyXZKLJyt094e7+xvj1RuT7N7cZgIAAACwEbMkgc5KcsfE+vFx2TSvSPKBjTQKAAAAgM21c4Y6tUxZL1ux6iVJ9if5h1O2X5bksiQ555xzZmwiAAAbIQZjrQ4fPjzvJpwU55133rybACzh/WdrzTIT6HiSsyfWdye5c2mlqnpuktcmuai7711uR919bXfv7+79u3btWk97AQBYIzEYAJDMlgS6Kcneqjq3qk5LckmSA5MVquqpSf5rRgmgL25+MwEAAADYiFWTQN19f5LLk9yQ5LYk13f3kaq6qqouGld7S5JHJPnvVXVLVR2YsjsAAAAA5mCW7wRKdx9McnBJ2ZUTy8/d5HYBAAAAsIlmuR0MAAAAgG1OEggAAABgACSBAAAAAAZAEggAAABgACSBAAAAAAZAEggAAABgAGb6ifjt5sInvmbeTTgpPnDbL8+7CQAA33X48OF5NwFYwnUJTDITCAAAAGAAJIEAAAAABkASCAAAAGAAJIEAAAAABkASCAAAAGAAJIEAAAAABkASCAAAAGAAZkoCVdUFVXW0qo5V1RXLbD+9qn5rvP2jVbVnsxsKAAAAwPqtmgSqqh1JrklyYZJ9SS6tqn1Lqr0iyd3d/YNJfi3Jmza7oQAAAACs3ywzgc5Pcqy7b+/u+5Jcl+TiJXUuTvKO8fJvJ3lOVdXmNRMAAACAjZglCXRWkjsm1o+Py5at0933J7knyfduRgMBAAAA2LidM9RZbkZPr6NOquqyJJeNV79WVUdneP31ODPJX23Rvk8ZVb8yhH4OoY+Jfi6SIfQx0c8FUlvZx+/fov2yRicxBjtVDeBaXjfHZnmOy3SOzfIcl+kcm+XNJQabJQl0PMnZE+u7k9w5pc7xqtqZ5HuSfHnpjrr72iTXzvCaG1JVh7p7/1a/zrwNoZ9D6GOin4tkCH1M9HORDKGPnLwY7FTlPJ/OsVme4zKdY7M8x2U6x2Z58zous9wOdlOSvVV1blWdluSSJAeW1DmQ5GXj5Z9K8ofd/aCZQAAAAADMx6ozgbr7/qq6PMkNSXYkeVt3H6mqq5Ic6u4DSX4jybuq6lhGM4Au2cpGAwAAALA2s9wOlu4+mOTgkrIrJ5a/leRFm9u0DRnKdOch9HMIfUz0c5EMoY+Jfi6SIfQRnOfTOTbLc1ymc2yW57hM59gsby7Hpdy1BQAAALD4ZvlOIAAAAAC2uW2fBKqqt1TVJ6vqE1X13qp69MS211TVsao6WlUvmCi/YFx2rKqumE/LZ1dVL6qqI1X1naraP1H+4qq6ZeLxnap6ynjbR8Z9PLHtsfPrwWxW6OeeqvrmRF9+fWLb06rq/4zH8j9UVc2n9bNZoY/Pq6qbx325uap+bGLbwozleNtCXJdLVdVvTYzRZ6rqlnH51PN3O6qqN1bV5yb688KJbcuO7XYz7XNl0cYy2f7XHSynqq4eX7+3VNUHq+rx4/IaxwrHxtt/ZOI5L6uqPx8/XjZ979vXet7btluctV7Tjs1420LGLbMYQmy+XkOMdddqCDHjRsz1fOjubf1I8vwkO8fLb0rypvHyviQfT3J6knOTfDqjL7beMV7+gSSnjevsm3c/VunjE5P8UJKPJNk/pc4PJ7l9Yn1q3VP1Ma2fSfYkOTzlOX+W5O8lqSQfSHLhvPuxzj4+Ncnjx8vnJfncgo7lwlyXq/T/3ye5crw89fzdjo8kb0zyb5YpX3Zs593edfZx2ufKoo3lQl13Hh4nHkkeNbH8C0l+fbz8wnGsUEmekeSj4/LHJLl9/O8Z4+Uz5t2PLTgua35v225x1hYcm0HELSscl4WPzbfg2Az6nFlyjBY+ZtzAsZnr+bDtZwJ19we7+/7x6o1Jdo+XL05yXXff291/keRYkvPHj2PdfXt335fkunHdU1Z339bdR1epdmmS95yM9myVGfv5XVX1fRkFen/ao6vpnUn+yZY1cBNM62N3f6y77xyvHkny0Ko6/eS2bvOsMJYLc11OM/4fr5/ONr8e12Ha2G47K3yuLJqFue5gUnf/9cTqw5Oc+ALMi5O8s0duTPLocSzxgiQf6u4vd/fdST6U5IKT2uiTYK3vbdsxzlqvIfw9sR5DiM3Xa8ix7iZYmJhxA+Z6Pmz7JNASP5dRxjlJzkpyx8S24+OyaeXb3T/Ng//o/M3x1LvXL8BUzHOr6mNV9UdV9aPjsrMyGr8TFmUsfzLJx7r73omyRRnLIVyXP5rkC9395xNly52/29nl4ynzb6uqM8ZlizSGkyY/V5LFGstFHTNIVf27qrojyYuTnPhF2yF8Bs1qlve2RY2zVjPkvyfWwjmzPOfMAw0pZlyLuR6DmX4ift6q6g+SPG6ZTa/t7t8d13ltkvuT/LcTT1umfmf5xNfcfyJtlj6u8NynJ/lGdx+eKH5xd3+uqh6Z5H8k+dmMsvFztc5+fj7JOd39pap6WpL3VdWTMn2M52qDY/mkjKYhP3+ieJHGcltdl0vN2Oels/KWPX+X/E/1KWWlfib5L0muzmh8rs7o1refyyl6PU6zzs+VbTeWq9hWYwaTVruGu/u1SV5bVa9JcnmSN2T6Ob8w18JmvrdlgY5LMoy/J9ZjCLH5eg0x1l2rIcSMW2Sux2BbJIG6+7krba/RF/j94yTPGU89TEbZtLMnqu1OcuJ2m2nlc7NaH1dxSZbMAuruz43//WpVvTujKWdzTxysp5/jGTH3jpdvrqpPJ3lCRmM8OZV5W49lVe1O8t4kL+3uT0/sb2HGMtvsulxqhveinUl+IsnTJp4z7fw9tIVN3ZBZx7aq3prk98arK43tKWc9nyvbcSxXsa3GDCat4TPo3Unen1ESaNo5fzzJs5eUf2TDjZyDTX5vOyXjrPUawt8T6zGE2Hy9hhjrrtUQYsYtMtdjsO1vB6uqC5L8UpKLuvsbE5sOJLmkqk6vqnOT7M3oi8puSrK3qs6tqtMySqAcONnt3ixV9ZAkL8roPsITZTur6szx8t/K6APt8PJ7OPVV1a6q2jFe/oGMxvL27v58kq9W1TPGt0i9NMmKM21OVTX6FYr3J3lNd//JRPlCjWUW/7p8bpJPdvd3p0JPO3/n1L4NG9/vf8KP52/Ox2lju+1M+1xZtLHM4lx38ABVtXdi9aIknxwvH0jy0hp5RpJ7xrHEDUmeX1VnjG9XeP64bKGs9b1tkeKs1Qz974m1cs6syDkzNoSYcQPmej5si5lAq/hPGX2z+IdG7zW5sbtf1d1Hqur6JLdmNK3zX3b3t5Okqi7P6MN9R5K3dfeR+TR9NlX140n+Y5JdSd5fVbd094mf0ntWkuPdPfmHyOlJbhgnDXYk+YMkbz2ZbV6PFfr5rCRXVdX9Sb6d5FXd/eXx034+yduTPCyj+7c/8KAdn0JW6OPlSX4wyeur6vXj6s9P8vUs0Fgu0nU5xYNm5WXl83c7enNVPSWjKaufSfLPk2Slsd2Glv1cyYKNZXffvyDXHSz1K1X1Q0m+k+SzSV41Lj+Y0S+EHUvyjST/LEm6+8tVdXVGQXmSXLWdr+0VrOe9bVvFWRuw8H9PrMcQYvP1GnCsuxZDiBnXZd4xWP3NbEcAAAAAFtW2vx0MAAAAgNVJAgEAAAAMgCQQAAAAwABIAgEAAAAMgCQQAAAAwABIAgEAAAAMgCQQAAAAwABIAgEAAAAMwP8H2ub9ZONifZoAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFkAAABYCAYAAACeV1sKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAALLklEQVR4nO2cW2xUxxnHf9+662DHDuAYKGBiwCYJjRRRBbUVlhBRVKmqEqV9aNQU9akSfSioEZXaqE99iZSopVKfKlE1UZAaFaT2oVKiVAlqEwkUCBBES7maEG6WwTUXG2OvvTt92P2fs2fWu752zOX8JWt9zlzO7Lf/+c8338wcc86R4v+LzFw34EFAauQASI0cAKmRAyA1cgCkRg6AGRnZzL5lZqfM7KyZvTpbjbrfYNP1k82sDjgNfBO4BHwKvOyc+8/sNe/+wJdmUPZrwFnn3DkAM/sz8CJQ1chm5swM/4dtaGgA4M6dOzUfqHyjo6MA5PN5gKi+efPmATA8PEwmU+yk+vRRKBQS6WNjY4l03Ve+ieCcs2ppMzHycuBi2fUl4Ot+JjPbAmzRdX19PSMjI4k8TzzxBADHjh0Dqn8x5bt06RIAN2/eBGKjr1y5EoCTJ0/S2NgIxIb3MTw8nEjv6+tLpKv80NBQok1TNT7MzMjj/XIV2uOc2wnshCKTR0dHefzxxwE4ffo0EBtNDZ8/fz4QG1HwfwTlGxgYSNSTzWYZHBwE4MknnwSKhgei+21tbYkyPuOXLFkCQHd3d+K+b9y2tjZ6e3srLVGGmQx8l4AV5c8DrsygvvsWM2Hyp8AaM1sFXAa+D/xgokKFQiHqgkJ/f3/iOpvNJq6feuopIGZ+S0vLuOXKu7a6+61btxJ5xFiVbW1tBWL5qKurA+JepHRBknTo0KEa3zKJaRvZOTdmZluBvwN1wJvOuePTre9+xrRduOkgm826BQsWRIzzGf30008DcPv2bYBogJRuip2LFy8G4NFHHwXg1KlTQKy3ra2tEVPFTPUOPVOM1ICnAVDllN8fpKXlTU1NQJHxfX195HK5qt5FOuMLgJlo8pRhZmSz2QoGy9uQ9yBIi30P4Pz580A80ouF8ghGR0cjRqqMNFcM7enpSdQh6Hrp0qVAzHT1kk2bNgGwd+9eoNgzJnLnUiYHQFBNrqurc42NjaxevRqImSt2dXR0ALFPK0gHxUaxy/d1yz0BpckjUe/xJxNi7EMPPQTEjNUzHnvsMYDIF161alWi3P79+8nlchQKhVST5xJBmbxu3Tr34YcfcuLECSDWUrFEjNan0q9duwbE0+q1a9cm6tVIL09iaGgo0meVlZcgD0WzRZVRGzRFF5Rf9/30pqYmhoaGyOfzKZPnEkGZ3NHR4d54442IRQ8//DAQz+AuXryYuJZuio2C2CeWbdy4MZGeyWSiPGKeNFTXKnvhwoVEurwO9SZfk9UmtXH+/Pl0d3dz586dlMlziaB+cn19Pe3t7REzNaLfuHEDiHVTUTV5BL5GK13x5Pfffx+A9vZ2oDhzVJp8bY0Dzc3NQMxMeSR+PERtUY+Q1yHvRG3o7+8nl8vV/N4pkwMgKJMzmQwNDQ2Rrokt/mxMuvncc88BcPDgQaAyDqF6xMYrV4qR1nfeeYeuri4ANm/eDMTM9YPzquv48WJsS1qtHqBy69evB+DMmTMArFmzJrr24xsV37tmaopZQVDvorOz0+3YsSOKtmn2pBmeRnJp8eeffw7EMQndlwbqWvpYznTdW7ZsGQDbt28H4MCBA4myasu5c+eASu314xLqNeWrNmNjY+mMb64R3Ltoa2uLNOyTTz4BYqbKRxWLpJe+NyJ2ymPwNbGlpSUqK0YrXvLRRx8l8qoOeSNCZ2cnEMc+BNUr7R4YGKhYffeRMjkAgjK5UCgwMjISMU8Mle4pCid2+T6s1uv8VWxF3KSzvb29UV1vvfUWALt27QLi2LU8GLVFnokgBj///PMAfPDBB4ln+G2ohZTJARCUyc45crkc9fX1QMxAQey4fv06EM/wLl++DMTxBeniF198AcCCBQuA2Lft6uqKeoH8YsVL5Mn4kTv1Fj//e++9B8S9Tfk1bjQ2Nlas9PgIbuSRkZHIyOqy+sIymr6A0uVmffbZZ0D8Y2garWuFQqH6pEN1+26hBl3Bd9WeeeYZAA4fPgzE7mZPT0868N0NCD7wDQ8PR+wRWzT4+O6RBiM/QCSIZR9//HGivubm5mhJShCzJSnaduAzWPC3Z4nBekZ5SNR3/3ykTA6AoEzOZrMsW7Ys2gIrBvv6qQFOYUlps1ikyYgWYl944QUAdu/eDcDZs2crBjL1Drlm0mTd1zM1lfcHOPUmv62ZTCbV5LsBwTVZ01yImSpWKXivSYfua3O4mC8Gi4Vi17vvvgvAtm3b2LdvHxC7YgsXLky0RRtkBDFYPUAejwJGCsf6aGtrq9B/HymTAyAok+vq6iJmQRxe1BK/JiHSPy0FiV1aeC2fPpdD5bds2RKV1cgvLVaQSRqsniXPRfp/9epVIO4tYrQP3wsZDymTA2BCJpvZCmAX8GWgAOx0zv3OzFqA3cBK4DzwknPueq268vk8N2/ejFgjxir4ovCiv2wvrS7X8/LymvKq/NatWyPdVkBInonqkJ+rZ2gr7ZEjR4B4vKimxTom0d3dXXGox8dkmDwG/Mw5txb4BvATM/sK8Cqw1zm3Bthbuk4xDiZksnOuB+gp/T9gZiconnx6EdhUyvY28E/gFxPURT6fj5gpf1eaq1HaD+JLRxUI8o8eKL/iC/39/ZF/Ky0W83w/V5otPdeSmLRWcRPFVdQT1Hv8bVvjYUqabGYrga8CB4AlpR9AP8TiKmW2mNkhMzs0lRjs/YRJexdm1gT8BXjFOXfLrOq6YQLlR8w6Ozvd4OBgtJzuxw38AznyRORNiMH6fO2114B4YVUehdgIcWhTn9JeMVdehr9d199mIIL4W3Jn7YiZmWUpGvhPzrm/lm73mtnSUvpS4Opk6noQMeGWACtS9m2g3zn3Stn9XwP/dc69Xjq83uKc+3mtujKZjCs/kfrss88CsGfPnkQ+MVUxiaNHj6o8EGu52CYGK54sbwUqN8wI/oHNsjYmnuHP5tQTtJCQyWQm3AQ+GbnoAn4I/MvMjpbu/RJ4HdhjZj8CLgDfm0RdDySCbm5paGhwHR0d0ZYof9Yl9ohdWgzVSO8vKQnydcu3e2n0l2ei3uMz2k9Xm/y61QYx2T/2UOsAezrjC4CgTDYzl8lkKjYK+odgdBhSR2ulk5qFVdsSUH6AXWU0u/SP8fqzR9WttojR0nvfLy6P7l25coWRkZGUyXOJ4FtnpXEQx2z9I2P79+8ft7zY57+qQZtk/BgwVL6nQj63NFjM9o8Dqw5/C5j/aod8Pj8rsYsUM8Sc7LtYvnw5ELPokUceAWDRokWJ/OWsL4cYLM/AP+YAlTotyAPxPRsx2V8xEfyDO0K1OHM5UiYHQFAmQ1EbxTx5D2K0Vkr8g+t+1M2H/+KP4eHhqOyGDRuAeNYohvurL+O1E+Je4jPYf0dRLaRMDoDQfvI14DbQN1HeuxitVLa/3Tm3aLzMENjIAGZ2yDm3PuhDZxHTaX8qFwGQGjkA5sLIO+fgmbOJKbc/uCY/iEjlIgBSIwdAMCPfiy+0NrMVZvYPMzthZsfN7Kel+78ys8tmdrT09+2a9YTQ5Hv1hdalVfilzrkjZtYMHAa+A7wEDDrnfjOZekIxOXqhtXMuB+iF1nc1nHM9zrkjpf8HAO2emhJCGXm8F1pPubFzCW/3FMBWMztmZm+a2cKqBQln5Em90Ppuhb97Cvg90AGso7hPcEet8qGMfM++0Hq83VPOuV7nXN45VwD+QFEOqyKUkaMXWptZPcUXWv8t0LOnjdLuqT8CJ5xzvy27X74547vAv2vVEyRofw+/0Lra7qmXzWwdRck7D/y4ViXptDoA0hlfAKRGDoDUyAGQGjkAUiMHQGrkAEiNHAD/AwiF24Tb3BQsAAAAAElFTkSuQmCC\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFkAAABYCAYAAACeV1sKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAALiklEQVR4nO2cf2yV1RnHP09vL7T2VimlMCw4cKKBGOOSZZvOPzALShYThjgziGQixhln3BJiRpaYTGPM/thmSEyWsGBSyAwjYXEQSfiDbNElhijEsCkOEQhSa4Xa2lLE0tuzP+79vufec/vj0nanBd5v0ty+73vec8593u95zvc857mvOedI8f9FzVR34FpAauQISI0cAamRIyA1cgSkRo6ACRnZzFaa2X/N7LiZbZ6sTl1tsPHqZDPLAMeAFcAZ4B1grXPug8nr3tWB2gnc+13guHPuBICZ7QRWASMauba21mWzWQYHBwGYMWMGQHKsB67P2try7uXz+bLjmprygdjU1FTRpuoys1HvFYaGhsrK636VVx90PZPJ0N3dTX9/v4V1CRMxcivwScnxGeB7YSEzewJ4AgpGW7RoEd3d3QAsXLgQgC+++AKAr7/+GvBGD4325Zdflh1ff/31ZccPPvgg4A1VWpceqK5dd911gDeePnt7ewGYOXMmAJcuXSorr+sq39zczJYtW8KvXYaJGHm4J1fhe5xzW4GtAK2trW7t2rVJx7/66quyDuuL6XxbWxsA9fX1ZZ+dnZ0APProo0C5UVVfNpsFSD7VpsqKkRcuXAC8EQU9eLUptLS0lJ3v7+8fxgzlmMjEdwZYWHK8APh0AvVdtZgIk98BlpjZYqAd+Cmwrpobc7kc4NkktjU3NwNw+vRpANavXw/AvHnzABI3EzJXkHvp7OxM6pQL0j1yG5lMpqwvKjcwMADAzTffDEBPTw8ADQ0NgB9lQj6fZyzxMG4jO+cGzexpYD+QAV51zr0/3vquZkyEyTjn9gH7qi1fU1NDQ0NDwg4x97bbbgPg6NGjAMyePRvwDH/22WcBeOGFF8rq00gQS8WyhoaGhKHymVIqKnv+/PmkT+AZLaiP8uWqR+V1PpvNViiXiu896tUUk4IJMflyUVNTQy6XS/xfV1cXAB0dHYBnolinGfyll14CPPveeustwMuzvr6+svvWrVuXSK2bbrqp7F6NDrUVjoaQqfLzOg7VRi6Xq9DzFd971KspJgVRmTw0NMSFCxcSPSwmnjx5EvCsCdkk9oiFFy9eLPsUxMq9e/cm+lf+XXVp9EgRqC9qY8WKFQDU1dUBfgSI6aHu7unpSRTJSEiZHAFRmeycY3BwMPFhra2tgF/BiU2hFpV/1apszZo1AOzevbusnFh58eJFHnnkEQB27doF+BWcluLhKNA8sW9fQSxpJGhVKY0uBovhTU1NI8ZBhJTJERCVyfl8nu7u7kQfi8FafX36aWFVrviAVIMYrNVaGIcQ64Te3t6E5WKcVIZGSRj4UVsaDcKOHTsAP3oE6equrq6K6GCIlMkREF0n19XVJaspzfxitBgs1SG26VMxDPnVxsZGwOtj+caWlpakTsUcVIeYqj5IZdx4442A971SF1Ije/bsAeCBBx4AvMqo6ntXXTLFuBGVyV1dXezYsYPHH38c8BGvUKuGTA9ZIyWglaKuK4ZQV1eXsFoxB7H+xIkTgPfRYmoYrRM0uuT3ly1bBsCZM2eAwkhJV3zTAFGZ3NzczIYNGxKWiUXSwWLkggULADh27BjgZ/Jw1RVuP4lRmUwmYaC2rB566CEAXn75ZcCPFtUtFSK1oU/5bJV7/vnnAdi4cSNQUCsjxbeFlMkREJXJZkYmk0lmfLFHull+8tSpU4BnjxirVZv08rp1hY2YUPvOnDkzYZfYLeZu2rQJ8ApGK8JwtGhFqPlCzF65ciXg5w+1ORpSJkfAlEThRorZfvzxx4Bnj1glFgpioeoJ488NDQ0VaQZiqu7VPfLVws6dO8v6Jr28fPlywDNa9dbX16exi+mA6D45m80mqzGt4M6ePQt43ytfLRaF2TulsVyojDf09PQk94Q7HkK4Z6f4yVNPPQXAc889B8C5c+cAeO211wC4++67Abj99tuBAqPHUhdRjQyFLxVOGhq6mvDmz58PVCa16GHIqHIB4ZZQqUHlNnRO8k/Hs2bNAvwDU3lNkOG21SuvvALAkiVLkr6kG6nTAFMi4eQWJL00VBXE1+SiYI0mGTH/zTffBPzQFcRoLW7Ayz0hHNpaHt96660ASV5bmEKgBdJjjz0G+MCTJtLRkDI5AqIzuba2tkKCaQksBopFCj+K8WFC4uuvvw54CahFzYcffpi0qXMfffQRAE8++WRZG2+88QYA+/fvL2tD/l9BKqWOaVTdc889yXWNxJGQMjkCom8/9fb2Jr718OHDgPd3UhXy2WHQXoFzQcEfLYGVWjAwMFCRZnv//feX3bt9+/ayY7WtOsLERG1PSQHde++9QMEnj5VwmDI5AqIyOZPJMGvWLLZt2wZ4bSo/t3TpUsD7VDFaflV6VD5dOllsk09vaWlJyqqNt99+G4AjR44Alam08sFSNgrSh1r+vvvuK/tO1aTOpkyOgDGZbGYLge3AN4AhYKtzbouZzQb+CiwCTgEPO+e6R6tLyS2rV68G4MUXXwR8AFysE4PDZD9dv+GGGwCvMuRvlXp78uTJxCfPnTsX8KMlDDZ98knhZy+33HIL4DcS1IawatUqwKsP1ZfP5yclaD8IbHLOLQW+D/zCzJYBm4EDzrklwIHicYphMCaTnXMdQEfx/z4zO0rhl0+rgOXFYm3AP4Ffj1ZXf38/Bw8e5MCBA4CPD4gdYRBfx7oeJgEqYKR4w/Hjx9XnRGNLDWjTVnVIkdxxxx2A9+fy92pDI0I+OfTR1eCyfLKZLQK+DRwE5hUfgB7E3BHuecLM3jWzdzXErjVU/TjMLAfsBn7lnOsdK/IklP7ELJfLufb2dp555hnAR8DERDF4LChMqfsPHToEeGWQzWYTFSHmLl68GPBpBFIkWgkqFhFurCqZRdAqVYQZa7UHVTLZzLIUDPwX59zfiqc7zWx+8fp84PNq6roWUY26MGAbcNQ598eSS3uAnwG/K37+fay6Ll26xOef+2cRJvnJH2qGF6uU9CelIDZJy8rfliYVqoxUglZyYrbiw/LFc+bMAWDDhg2AVyqCmCvlI0VRTTy5GnfxA2A98G8ze6947jcUjLvLzDYCp4GfVFHXNYlq1MW/GP4nvgA/vJzGmpqaWLNmTTJDhz44VBdisHyvUms3by6oxXDFKCa3t7cncQ0xOdxd0bHuleYOkx9DqLx8eCaTSTdSpwOip87W19cnvjb8SVnoJ+Ufwx9DKrYraGR88EHhLRClUTj5YikP+WRtkCp2Eb4VoPTHkKV9EGs1f6R7fNME0ePJfX19ic4t9Wvg1UKoRcNXNui82Fk600OBrVoNhmpASiRMHFd59UX3hatRQUyvJiUgZXIERGXy4OAgn332WcKmu+66C/A7HprZpSakl8U67V5rBAhKPCxdtouhYU6GEPpcjS75aLUlZodJ5dr7GxgYSOPJ0wHjfpvWeFBbW+saGxsTP6d9NTFWflDsEoMVbwgTEcVo+dPSdFexW+fESDE41LbhDrr8fXi/UPrD97a2Njo6OkaUGCmTIyAqk83sLNAPnIvW6ORjDpX9/6ZzbvglIpGNDGBm7zrnvhO10UnEePqfuosISI0cAVNh5K1T0OZk4rL7H90nX4tI3UUEpEaOgGhGvhJfaG1mC83sH2Z21MzeN7NfFs//1szazey94t+PRq0nhk++Ul9oXdyFn++cO2xmjcAh4MfAw8B559zvq6knFpOTF1o75wYAvdB6WsM51+GcO1z8vw9Q9tRlIZaRh3uh9WV3dioRZE8BPG1mR8zsVTOrfAV5CWIZuaoXWk9XhNlTwJ+AbwF3UsgT/MNo98cy8hX7Quvhsqecc53Oubxzbgj4MwV3OCJiGTl5obWZzaDwQus9Y9wz5Rgpe0rpaUWsBv4zWj1Rtp+u4Bdaj5Q9tdbM7qTg8k4BPx+tknRZHQHpii8CUiNHQGrkCEiNHAGpkSMgNXIEpEaOgP8BFbCzypQtTPkAAAAASUVORK5CYII=\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAFkAAABYCAYAAACeV1sKAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjEsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy8QZhcZAAALOElEQVR4nO2cXWxUxxXHf2fB3vUHcTAYg2w+KpOHVoqUSk7bqHlo1KCUJlHgoQlUQY1UQR8aqZWahKhPfexDW6lRIkuQRmkjFIpok+a7EgikIEVV0giBaUIVlaTYJWCDMV4TsNeePuz+7/Wd9a6N7YwN3L9kXd+583XP/ufMmXNmrjnnSPHlIjPfHbgZkAo5AFIhB0Aq5ABIhRwAqZADYFZCNrPvmdlJM/vEzJ6eq07daLCZ2slmtgj4N7AB6AHeB7Y65/41d927MbB4FmW/AXzinPsPgJntBR4CKgq5trbW5XI5xsfHKZUBIJ/PA5DL5RLpIsCiRYsAonI+lL+5uTkqp7L+NZPJJO5V1odPvkr5AC5evMjw8HDFDLMRchtwesJ9D/BNP5OZ7QB2AGSzWTo7O/niiy+AWKiHDx8GYP369cVOLS5268qVKwDceuutifuylyjl37p1KwCjo6OMjY0BRG0VCgUAGhoaAKLnEp7qEFRO6TU1NYl69GNlMhmee+65SfsV9a/q0+qY7Jcr0z3OuV3ALoCWlha3fv161q1bB8QM3bBhQ7EzpRd65ZVXADh58iQA7e3tQCxkvehjjz0GxAIZHR0FiszSD6M6JVR/FElYKqsfXkLVc/VV+err66O+VGM5zG7i6wFWT7hvB/43i/puWMyGye8Dt5nZV4BeYAvww2oFampqaG1tjRhZW1sLxCxrbGwE4P77709cfV0sdvpsVD0NDQ1cvXoVgKVLlwLxKKikcjQ6hoeHE31RfjFbV6U3NDRE7VfCjIXsnCuY2ePA34FFwAvOuRMzre9GxmyYjHPuLeCt6ebPZDI0NjZGLFiyZAkQs0cz+i233ALE+i+bzSbyicF6LkifOuciJl+6dKmsD1A+OsRQYWRkJJFfFpAYrtHU3t5eVrbsvas+TTEnmBWTrxWFQoHz58+zcuXKRLqYK50qhoohYlVPTw8An332GRDrRY2A/v5+ALZv3x6xfdmyZQCcPl20NjV61Nbly5cn7av6JAbX1dVF7wCxddHT01M2onykTA6AoEzOZrN0dHQwODiYSBdLzp07B5TrZNnBWqycOHEi8dzHq6++Gj0T83SVLtW97OnOzs5EX3xdLkbLXhaTdV8NKZMDICiTx8fHyefzkRUgtkmnikViru4F6dkHHngAgOPHjwPQ3d0NQEtLC1AcMWKodLEY7PtJdP/GG28k8un5fffdl7jXc1kvY2NjFX0qQsrkAAjKZCiy0WeqWKH0FStWALE1sXz5ciDWo9KD58+fB2KWDQ0NAbB27dromSwQ2be+s0l9UB0XL15MtHXw4EEANm7cmOirGJ3NZqdc8aVMDoCgTDYzFi9eHNmmsoNlNXz++edArCfFaLHHd1f6Pl+V6+7ujhi5atUqINb/YrBsdbUpiKG+u/W9994D4O677wbiVajs7WpImRwAQZnc19dHV1cX27dvT6QfO3YMiFd2Yplv64pdsrO1wlO69G1dXV1URhCzpZv9USOdrDr03PfG+fUpfzWkTA6AoEx2zlEoFCKdLPtSs7NYI50r9viRB+lDQayVX6Kvr49t27YBcZTFt3MFjZo777wTgLfffjvRFzFd5T7++GOgaMFAcb6YKhidMjkAZrwlYCZYs2aNe+KJJyJdK6tBdq9sVl9/itFivu8h81eQuVwuYr/Kqg2xXTb5/v37gXg0rF5djKidOXMmka62NEIkt9HRUbq6uujt7a0Y6EuZHABBdfLY2Bj5fD5iquzjgYEBINa12j/h28dirL/y01WsHRwcTITsJ9atVaF0rPwgfpRauvyuu+4CYitCo0Wjzsy+1Gh1imkiuO9ifHw8mtHFKrFH9q/SxXTF9sQ2MV/3KjfR1q0UlZYuVqTcj89J995zzz0APPvsswC0tbUB8OijjwLxvNHW1lZmsfgIKuRMJkN9fX1kosng14tqYtPQVphJ934oyJ8wpRr6+/ujMr67VBOf2tSCpqmpKVGnsHPnTiBWUc8//zwQE6C5uTl1dS4EzIvT3g/9aOIQw3t7e4FyJ46G5aFDh4B4SAuqp6mpqWxLgMJFmrhUpza/qOw777wDlIet7r33XgAeeeQRIDYjR0ZG0sXIQkBwndzQ0BAtMs6ePVvshOdW1FX6UgwXO6Wb3333XSBmmfTs0NBQxEjpZE2WglyWr7/+OlDZTNT9kSNHgHhz5MTNLqkJtwAQfDEyODgYMVdmkBziDz74IFAebheD5bwRy6RX33zzTSAeEX19fWXOdy2HDxw4AMDRo0cTz/2tAhoBMic1uuSOVR+vXLmSWhcLAfMSfnrxxRcT6QqUyrYVw+USFWt8TGQuxJZCLpcrc9q/9NJLQGzRVNpAKMaKwZUCr7IonnrqKfbt21f1vVMmB8CUTDaz1cCfgJXAOLDLOfd7M2sG/gysAz4FHnbODVSqp1QX2Ww2csrs3bsXiMPtmqXFbN9B5Lsdn3zySQBefvnlRPnR0dGIodGLeptb/HnBZ7ba0vPNmzcD5cvwZ555JtpeVgnTYXIB+IVz7qvAt4CfmtnXgKeBg86524CDpfsUk2BKJjvnzgBnSv8PmdlHFE8+PQR8p5Ttj8BhYGe1ugYGBti/f3+k33RaSU4bwWeTr1+1Ety9ezcQs0x286lTp8oCnLJ3BT9k5W/PUh9l8aiPmh8uXLgQ9XVOV3xmtg74OvAPoLX0A+iHWFGhzA4z+8DMPvCFdbNg2taFmTUCfwF+7py7NNUqR5h4xKyurs7l83m2bNkCxNaAv81Jrk25MMUq/0CO0rW6E9uk00ttAvGKTwwXg7Uh0Q+cqo+Cf1RN+S9fvjw3drKZ1VAU8B7n3F9LyWfNbFXp+Sqguva/iTEd68KAPwAfOed+N+HRa8CPgF+Xrn+bRl3kcrloJefP+GKm7nVIUis95fd1uH/QMZ/PR3kVEPXtYdnBt99+OwAdHR1AvMqcavuu9HB9ff2cHDH7NrANOG5mR0tpv6Qo3H1m9mPgv8APplHXTYnpWBdHmPyIL8B3r6WxpqYmNm7cWLbq8s9Qy+sm+9d/rhm/ku2r8hDb2rIK5HvQJOxvrdWoUJ0q548i5VuzZs2U4ad0xRcA8xLj8wOjvldNdrAY65/M94Ok/oHGQqFQ9qkFMVj+EDFXZZUu+1d9UFvqq7855tSpU9FoqfjeVZ+mmBME3xIAsT7TVSxTxNjfEuuvqMQ++RH8zyNcvXo1KlvpGJq/fUt1KfTvHymTna186mtjY+OUx8xSJgdAUCZfuHCBPXv2RPavGFvpiIF/DEwrOX+joTacSNcXCoVI50pf+tu2BK3WfD+JrtLp8nVr1E3nGIOQMjkAglsXEz/FoGNgra2tQLm3zbdh5duVvlW6/NIT43SbNm1K1OX7F8RIbddSW2KsH/tTeeWfuJE9jfEtAATdBG5mfcAw0B+s0bnHcsr7v9Y511KpQFAhA5jZB865zqCNziFm0v9UXQRAKuQAmA8h75qHNucS19z/4Dr5ZkSqLgIgFXIABBPy9fhBazNbbWaHzOwjMzthZj8rpf/KzHrN7Gjp7/tV6wmhk6/XD1qXovCrnHMfmtkS4J/AJuBhIO+c+8106gnF5OiD1s65EUAftF7QcM6dcc59WPp/CNDuqWtCKCFP9kHra+7sfMLbPQXwuJkdM7MXzGxptbKhhDytD1ovVPi7p4AuoAO4g+I+wd9WKx9KyNftB60n2z3lnDvrnBtzzo0Duymqw4oIJeTog9ZmVkvxg9avBWp7xqi0e0rb00rYDHRXqyeI0/46/qB1pd1TW83sDooq71PgJ9UqSZfVAZCu+AIgFXIApEIOgFTIAZAKOQBSIQdAKuQA+D9HTrLUXKrmsQAAAABJRU5ErkJggg==\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  1\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Real:  0\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 1440x144 with 2 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Correct\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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\n",
+      "text/plain": [
+       "<Figure size 72x72 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "needs_background": "light"
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Summary\n",
+      "Total images:  78\n",
+      "Predicted for:  78\n",
+      "Accuracy when predicted:  1.0\n"
+     ]
+    },
+    {
+     "data": {
+      "text/plain": [
+       "(78, 78.0, 78)"
+      ]
+     },
+     "execution_count": 30,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "test_batch(images[:78], labels[:78])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "colab": {
+   "name": "bnn.ipynb",
+   "provenance": []
+  },
+  "kernelspec": {
+   "display_name": "Python 3",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.7.4"
+  },
+  "widgets": {
+   "application/vnd.jupyter.widget-state+json": {
+    "072b3bef4c7743889d839ff5fc8d00b7": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "0ac986b68b1d4b07864fa5455a70e7e4": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "DescriptionStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "DescriptionStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "description_width": ""
+     }
+    },
+    "0b36e5e82d31440d922b045471ee7adb": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "FloatProgressModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "FloatProgressModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "ProgressView",
+      "bar_style": "success",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_1cad8937372a428ea8d94429e79fefa5",
+      "max": 1,
+      "min": 0,
+      "orientation": "horizontal",
+      "style": "IPY_MODEL_deefd693611a485697895e786799a91a",
+      "value": 1
+     }
+    },
+    "0cded60f8ca643f196773f9f16e635d4": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "DescriptionStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "DescriptionStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "description_width": ""
+     }
+    },
+    "145c85ca6eb042448a0784e6969d927f": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "1cad8937372a428ea8d94429e79fefa5": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "1e01794da2634d31a60c97b68341f5ed": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HTMLModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HTMLModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HTMLView",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_e362c835a6e440958e63a3cbbef1ad97",
+      "placeholder": "​",
+      "style": "IPY_MODEL_0ac986b68b1d4b07864fa5455a70e7e4",
+      "value": " 9920512/? [00:19&lt;00:00, 17284765.59it/s]"
+     }
+    },
+    "24174ab0cab64c22b8d0d0e90f40df7e": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "3117dc30b315499ba867d93a9868e253": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "FloatProgressModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "FloatProgressModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "ProgressView",
+      "bar_style": "info",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_24174ab0cab64c22b8d0d0e90f40df7e",
+      "max": 1,
+      "min": 0,
+      "orientation": "horizontal",
+      "style": "IPY_MODEL_e9dc213591664588b762e527e4862d85",
+      "value": 0
+     }
+    },
+    "36d98e2babbc4cf181408256564cd6ab": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "4af6df1c09054fa3bd6e9fb83ec2044c": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "6b8f8d46c8b94bb2bbb90beb2936e87b": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "6d650f39160f4c0685a9696ec77c1fa9": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HBoxModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HBoxModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HBoxView",
+      "box_style": "",
+      "children": [
+       "IPY_MODEL_9cba5494a2ff4f248e59e5106f8fa626",
+       "IPY_MODEL_f4e1a9fe182a4bc2acd1a32c6be0e316"
+      ],
+      "layout": "IPY_MODEL_85e8696745cd4d03890bbf78b926e755"
+     }
+    },
+    "6e716cc899a3437bb8da004062ecf049": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "DescriptionStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "DescriptionStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "description_width": ""
+     }
+    },
+    "8547c005207844eca54ba88100bc1998": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HBoxModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HBoxModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HBoxView",
+      "box_style": "",
+      "children": [
+       "IPY_MODEL_3117dc30b315499ba867d93a9868e253",
+       "IPY_MODEL_d17081505b9544e5ab8f1b51a5e55c2d"
+      ],
+      "layout": "IPY_MODEL_ce52c576d88f45a68388ae2e99bd35ce"
+     }
+    },
+    "85666a192d5441a0b9ea75395517378d": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "ProgressStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "ProgressStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "bar_color": null,
+      "description_width": "initial"
+     }
+    },
+    "85e8696745cd4d03890bbf78b926e755": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "8bdf370b4e15495ba07adfe320d2faef": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "9083debdb62a40bbb04658ca02b93d37": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "FloatProgressModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "FloatProgressModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "ProgressView",
+      "bar_style": "info",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_4af6df1c09054fa3bd6e9fb83ec2044c",
+      "max": 1,
+      "min": 0,
+      "orientation": "horizontal",
+      "style": "IPY_MODEL_f773a23657d54e96b1fbcbe513d11d95",
+      "value": 1
+     }
+    },
+    "9cba5494a2ff4f248e59e5106f8fa626": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "FloatProgressModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "FloatProgressModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "ProgressView",
+      "bar_style": "success",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_145c85ca6eb042448a0784e6969d927f",
+      "max": 1,
+      "min": 0,
+      "orientation": "horizontal",
+      "style": "IPY_MODEL_85666a192d5441a0b9ea75395517378d",
+      "value": 1
+     }
+    },
+    "b389b8eef9f94c5dbd87e8e629abcf85": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HBoxModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HBoxModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HBoxView",
+      "box_style": "",
+      "children": [
+       "IPY_MODEL_0b36e5e82d31440d922b045471ee7adb",
+       "IPY_MODEL_eeee52a8fb1f4bffa9f66aae8f0250fb"
+      ],
+      "layout": "IPY_MODEL_36d98e2babbc4cf181408256564cd6ab"
+     }
+    },
+    "ce52c576d88f45a68388ae2e99bd35ce": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "d17081505b9544e5ab8f1b51a5e55c2d": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HTMLModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HTMLModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HTMLView",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_6b8f8d46c8b94bb2bbb90beb2936e87b",
+      "placeholder": "​",
+      "style": "IPY_MODEL_0cded60f8ca643f196773f9f16e635d4",
+      "value": " 0/? [00:00&lt;?, ?it/s]"
+     }
+    },
+    "d91f57faa11a4d93b3e462b6eaddf30a": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "DescriptionStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "DescriptionStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "description_width": ""
+     }
+    },
+    "deefd693611a485697895e786799a91a": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "ProgressStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "ProgressStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "bar_color": null,
+      "description_width": "initial"
+     }
+    },
+    "e362c835a6e440958e63a3cbbef1ad97": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "e9dc213591664588b762e527e4862d85": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "ProgressStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "ProgressStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "bar_color": null,
+      "description_width": "initial"
+     }
+    },
+    "eeee52a8fb1f4bffa9f66aae8f0250fb": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HTMLModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HTMLModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HTMLView",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_f4252d1132db4b68bb5faaa5292a701b",
+      "placeholder": "​",
+      "style": "IPY_MODEL_d91f57faa11a4d93b3e462b6eaddf30a",
+      "value": " 8192/? [00:06&lt;00:00, 1260.85it/s]"
+     }
+    },
+    "f4252d1132db4b68bb5faaa5292a701b": {
+     "model_module": "@jupyter-widgets/base",
+     "model_name": "LayoutModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/base",
+      "_model_module_version": "1.2.0",
+      "_model_name": "LayoutModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "LayoutView",
+      "align_content": null,
+      "align_items": null,
+      "align_self": null,
+      "border": null,
+      "bottom": null,
+      "display": null,
+      "flex": null,
+      "flex_flow": null,
+      "grid_area": null,
+      "grid_auto_columns": null,
+      "grid_auto_flow": null,
+      "grid_auto_rows": null,
+      "grid_column": null,
+      "grid_gap": null,
+      "grid_row": null,
+      "grid_template_areas": null,
+      "grid_template_columns": null,
+      "grid_template_rows": null,
+      "height": null,
+      "justify_content": null,
+      "justify_items": null,
+      "left": null,
+      "margin": null,
+      "max_height": null,
+      "max_width": null,
+      "min_height": null,
+      "min_width": null,
+      "object_fit": null,
+      "object_position": null,
+      "order": null,
+      "overflow": null,
+      "overflow_x": null,
+      "overflow_y": null,
+      "padding": null,
+      "right": null,
+      "top": null,
+      "visibility": null,
+      "width": null
+     }
+    },
+    "f4e1a9fe182a4bc2acd1a32c6be0e316": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HTMLModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HTMLModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HTMLView",
+      "description": "",
+      "description_tooltip": null,
+      "layout": "IPY_MODEL_072b3bef4c7743889d839ff5fc8d00b7",
+      "placeholder": "​",
+      "style": "IPY_MODEL_6e716cc899a3437bb8da004062ecf049",
+      "value": " 1654784/? [00:06&lt;00:00, 243783.29it/s]"
+     }
+    },
+    "f773a23657d54e96b1fbcbe513d11d95": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "ProgressStyleModel",
+     "state": {
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "ProgressStyleModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/base",
+      "_view_module_version": "1.2.0",
+      "_view_name": "StyleView",
+      "bar_color": null,
+      "description_width": "initial"
+     }
+    },
+    "fc57bac640bf48adad5146f6262d2982": {
+     "model_module": "@jupyter-widgets/controls",
+     "model_name": "HBoxModel",
+     "state": {
+      "_dom_classes": [],
+      "_model_module": "@jupyter-widgets/controls",
+      "_model_module_version": "1.5.0",
+      "_model_name": "HBoxModel",
+      "_view_count": null,
+      "_view_module": "@jupyter-widgets/controls",
+      "_view_module_version": "1.5.0",
+      "_view_name": "HBoxView",
+      "box_style": "",
+      "children": [
+       "IPY_MODEL_9083debdb62a40bbb04658ca02b93d37",
+       "IPY_MODEL_1e01794da2634d31a60c97b68341f5ed"
+      ],
+      "layout": "IPY_MODEL_8bdf370b4e15495ba07adfe320d2faef"
+     }
+    }
+   }
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 1
+}