diff --git "a/assignment-1/assignment_1/AI_Assignment_1.ipynb" "b/assignment-1/assignment_1/AI_Assignment_1.ipynb" --- "a/assignment-1/assignment_1/AI_Assignment_1.ipynb" +++ "b/assignment-1/assignment_1/AI_Assignment_1.ipynb" @@ -944,6 +944,39 @@ "# Good enough. Unlike the princeton demo, the code I wrote has discrete steps, which introduces a bit of variability to the " ] }, + { + "cell_type": "code", + "execution_count": 19, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# plot the number of requests that are waiting in the queue as a function of time\n", + "sns.scatterplot(df_lam1, y=\"Number of Requests\", x=\"Time\")" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -1030,6 +1063,39 @@ "expected_mean" ] }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 21, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#plot the number of requests that are waiting in the queue as a function of time\n", + "sns.scatterplot(df_lam2, y=\"Number of Requests\", x=\"Time\")" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -1117,6 +1183,39 @@ "expected_mean" ] }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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KzwkiDyjYIQiCcIAl/Wo+qeASb1Z23uDJ+OQEVAX1tUFXE8GgquQMdNg2WOl6bZUXCVD5OUHkAwU7BEEQDgRUBV1G6XihJd6s7Ly6LmBOZ8XF3EnJcXHwwCTp8SCUjiEhBlHtA3U/J4g8oWCHIAjCAb50PORiLOhUOcW/ljcATCgKFLEKtzooO99d1oqUMnhgMqM+iD0RDUFVBuCn7ucEkScU7BAEQTjQP6AYAU3h6gkrO08A8KsKImmg2ifhR0/txLfPPQY3SaKp7KQVFT/5207c8Imj8xrXrEkhdPYIRhm6Qt3PCSIPxrT0/Pnnn8cPfvADvPLKK9i3bx/WrVuHZcuWmc9ffvnleOSRRyyvOeecc7Bhwwbz8aFDh3DNNdfgiSeegCiKuPDCC/HjH/8Y1dXVeY+DSs8JgrCzuSOClrqApVO5m7LTZOuRxcrOAT33p6s3gRYjmdi13By6n06+hCMxs/u53yhtt6s71T4J/kGSngminCmL0vNYLIb58+fjS1/6Ei644ALHdc4991w89NBD5mO/3295/tJLL8W+ffvw1FNPIZVK4YorrsBVV12FRx99tKhjJwiisqmt8gKqggAKz9npH1AQMK6uAW5bucrNUWh+jTE2AKTuEMQgjGmws2TJEixZsiTnOn6/H9OmTXN8bseOHdiwYQO2bNmCU045BQDw05/+FOeddx7+4z/+A42NjSM+ZoIgxgfVxjQUgILzYqJGcnJmW7rC41FlR1+ctCpD8eSv6gB6srKmZoR5llfE8oTYOOMpBZ09MpkLEuOaks/Zee655zBlyhTU19fj4x//OO6++25MmjQJALBp0yZMmDDBDHQAYPHixRBFEZs3b0Z7e7vjNpPJJJLJpPk4Go0W900QBFFWhHvkbFNBDfqckYFm/INDIgDrTm7B6Ivl1g9rVoHByIz6IMLhqOHZo48xYOyHRwOgqRrCkVhB02QEUUmUdLBz7rnn4oILLkBzczN2796Nm266CUuWLMGmTZsgSRL279+PKVOmWF7j8XgwceJE7N+/33W7q1atwp133lns4RMEUYawlgwSZ8gXQG5jQfTIlrwYXhUyt2H0xTKnsRIp1AS8qPFJ8GOIiBKi8Yy5YAhADPmPkyDGCyUd7Fx00UXm362trTjhhBMwZ84cPPfcczj77LOHvN2VK1fihhtuMB9Ho1E0NTUNa6wEQZQ/nT0yNOhGfdD0EKQ7DWAwY0FVV1nY9FEDd2VlyksuVafgfB2DBGAxF0wIwUHHSRDjkZIOduy0tLSgoaEBu3btwtlnn41p06bh4MGDlnXS6TQOHTrkmucD6HlA9kRngiCIvkTaDEwkY8oqGk+4GgtuWb4AMSGIgYQMxZ95fuOKNnOdaDyB6rpAQV3O84Uvj4cQJJNBgnChrIKdzs5ORCIRTJ8+HQBw2mmn4fDhw3jllVdw8sknAwCeeeYZqKqKhQsXjuVQCYIoQ1hicUjVlZ0BGMqJi7EgW+4JBOHnkpj5fJ3aKi88RhDipuz4hhiERA2H54QoQQCgCYUbIBJEsQj3yEiomtUOIeAZk2T5MQ12+vv7sWvXLvPxe++9h61bt2LixImYOHEi7rzzTlx44YWYNm0adu/ejW9/+9s48sgjcc455wAAjj32WJx77rm48sor8fOf/xypVApXX301LrroIqrEIgiiYMzEYiGIhKHs5GrLsGX5Ir27uM3cb3V7qx58GK9PA3i146CjsrOl4yA+2jLFaTh5jVdvDpoJlkjZIUoBlvvmaIfQ3opZo5wsP6amgs899xzOOuusrOWXXXYZHnjgASxbtgyvvfYaDh8+jMbGRnzyk5/Ed7/7XUydOtVc99ChQ7j66qstpoI/+clPyFSQIIiC2RuJATCM+rjluYwFWVDDm/sByKreGklDQX68AWN8jEINEAlipOnskQFVgz/HdzHpCY2IwpPv7/eYBjulAgU7BEEAQDhss6EQJEDT1ZCYIGXdpW5Zvih7fUB/jSDpwQ5TUwQJCQGuhoKTJxd+7ckar8s4TWVHG9p+CKIQ2PdyNL6LZeGgTBAEUSp09sjQRKtHDZ/nEnTJ2eFhQo4mGEqKEASMdQIuhoIYRi6Nff8AcM/6HfjS6c24cckx6E8oqAl4cCCawL0bdmDlkmOHtB+CKAT2vQz3xBzzx/b3xCDVj67CSMEOQRAEAH86nbUsJgQzeS7MtM+nX8hZcrAbLCF5zdI5APw5E5SDQ8yl8aoK+HDnkArcdc7RSIgi+gcUiIICSRRw1JRq3HnO0TiUppwdovgw+4XZE0JZflOAvnyodgtDhYIdgiAIAElRggZYGniGDNUlAAAashIuX1jRlmUImNRXxfsHD2NVeyu6jfLwYpSep0QJKW7ME6EhJgiuCcoTxXGftUCMAtF4yjS6dE2Wd1AliwkFOwRBEAD6jLvRhDntpBjKjhGMCMBAwjqV1TegQPNZL9rmXe3kCVhpKDnPLl+UU9lRh3iXy6qwzOksUSipqQNifMIbXbraIDhN6RYRCnYIgiCQ8dgJqIrpmrw33IvZk+vMAEbxB3Ejd6f626tOBaA7JPdoQL0AdHFePUzJ8YgSfrflA0dl53dbPsDnF84a0phZM1A25gYPMHlCyDJGIHM3ndWviyCKADO6LCUbBKrGAlVjEQQB7NgXNZWdrt4EWmq8iAkSbnn8DVzz8blorAs4lnVH4yk01gXMSnMWGLHXvrArYjotu5WeD8dzhLWp6OpNoLEugB1dh3Bs48Ssu2m2nErPiWLDvpOjYYNApecFQMEOQRDMY6d/QL/j5C/KfADD5+xsXNFmPseUlQRXfcVe2xdPobnGa/bOMpuAjoCbbGePDH86zfXgotJzYmzZG4kZyk7plJ5TsAMKdgiC0B1fAaCjN4Ej6gLwI2MEuLq9VU9ett2pttQFzIRkpqywZOFimAi6wQI1OIyRTAWJ0SYcieU04hwLZYdydgiCIACzFLa2yqu3fwAQEiSsam81HyeFIPoH0tCYo46qmNVYZqsJA/ZaNxPBkcTSad0t8dNoFEoQRUdV9O95CX0XKdghCIJAZvqp2qeXnZvtH4QgEqIED4C0puHu/9thmcYC9NJv9jpGMUwE3TCTq4GSKvclxicJUSq57yIFOwRBEED2naYgccaA8/QO51rcUkrLl37zFVEAimIi6AZTlfQxZrqv892mPcKgmyGIEYH/LlLpOUEQRAnBt15gqk5IDGKVETg4ldKayo5xcY/GE6iuC0AA0Bt1NhE8FJUhTRjZvJmagAcJowSd776e1W16WeuI7pcgnGDBP5WelxiUoEwQo0Nnj4y+RNpUG6pHoBpppAiHo5nGn4KEGGApHU+IwewE5RovAAdlx/Z6xkiUmruO30gKZYFasbtNE4QTrDowIUpZfk+MM46chFXtrZSgTBBE5bEnEsNNDnd5xfrxL5SEKEFRZUhGUMNUnf4BBe/1p9Bcbb1T1QOgjNtyQpTMvB37681Sc5+U1V5ipJg8KcR1m85xR+3QA4wgRgoW6PQPKI6BDgC8sCtiWjyMFhTsEARRdDp7ZKRTzvP3AykZnT3CmKsNAehBAvvfnm+zcUUbtr0fNt8DS8IEYPkbLq9ngR3E4iXPsOCLOp8TYwU7F7riqZzr9SVyPz/SULBDEETR8afTSHuCrm0MnDqOjzqqgpAgmf/b8228qoL5syab72H9tYugeIAQgP404PEYF1RBQkiAa9n55CIGdf0DCkQRuG7x0bjrz29mHetbP30cZOp8ThSR/gEFAY+eNJ+LmkDu50caCnYIgig6CVFCUHVWdvxFKMXOh3CPjISqod/oSg7O3t6pbDwl6p3L+fdQXRdAAjATk9NwKDkXLP8VlWg8hSk1flQj7liRFfKK8KvjPk2TKCLsvKj26QH2Cy45O9U+Kj0nCKLCYFVCTghjYDAWjsRgNrNCpuxc73KuOE5DbVm+yPIeTBNBQbIYCuacwiry+6yt8qIaquOx1ox/EKgGnSge7Fw4DODuZa2OSfp3t7ciQaaCBEFUHKJUMgZjnT2y3goCmfFsWdGGBICQoezwHcvZNJT9PWw0XhNQZdT4gqahoNNreYv8YsLfLbuVn9+9rBXokYs6nUaMX6p9EhIAqgD89Nl3cftnjkNa0cxzwSMJeODZd3HN2UeN6rio9BxUek4QxaSzR4amaiXTs2nHvmhWk0/9sd64MKTJjh3KN65oQ3JAht8XtLRnYK+BUWfFdztn8GaCxWzEybpNA9QjixgbWEXgaNkvUOk5QRBjzp5IzHQLLhWDsWg8ZXQHz4xn/bWLAJ/EKTtKVtl4QFWgeDNJ1htXtEFARg0SoE8TjaWyk/R4EDCSvUvleBPji4QoZZlyZtkvFLEi0Q1SdkDKDkEUA91cLGb+wJeK0sCUnR1dh3Bs40SLQWAuVUa0vQe7eeCapXOgwo94jm0EVAVTi6jsAJkO6KVyvInxBTPnHC1TzXx/vynYAQU7BFEMwuGoMcXDlB3JNYckpBV3eodnbyRmTlmx8ay/dlHW1JZdlQH8ltdsXNGmLxeDZtVTjU/C1g+6MX9mQ9Y2tn3QjRNnTy66n1DGWLA0jjcxvtDPL+t5YTfVnEzBzthAwQ5BjDzsoscrO/wF0GwZUYQLYC5YW4WsnB3oSb2DKTvgpqLs629ZvsAx32c0naKZsvPYq3txwUlNWcrOulf3ov2kJlJ2iKIQjsRynkdBlEmw8+qrr8Lr9aK1VW8o96c//QkPPfQQ5s2bhzvuuAM+n294Ix8DKNghiJHH0msKMKVttwaVsxpGKdhxUD70snI9sTchwNEMEEaZOaBXcoWMHlr29Rt8EpIA+vg72lHsARYORxEDgBzKDjQFs0nZIYoAO+9znUcjqSoWLUH5K1/5Cm688Ua0traio6MDF110Edrb2/H73/8esixj7dq1wxk3QRAVAktU1IRMObTdlI/PIxmtlhGsWokfS8IwFORVG7sZIN8VfV+kDzMm1TiaDzLVSPMFcez00Q8oEqIEyRiD27EeCxNHYnyQEPUWMD5v9ncs6rJ8NCg42HnnnXdw4oknAgB+//vf48wzz8Sjjz6KF198ERdddBEFOwRBAMgY9QHguoG7XOiE4Ki1jDDHxY0l4GIkyJsBBpB5H0dOrAEGeU1wjCqenN6fhTEwcSTGDwFVgeIJYqXLeTFW372Cgx1N06CqKgDgb3/7Gz796U8DAJqamtDd3T2yoyMIonwR9ekcQG+n0FAXGHNjwT2RGEQxk5/DGwQOVjIesL0PyWgfMVZl5q4Yx3GsjzUxPkmU6HlRcLBzyimn4O6778bixYvx97//HQ888AAA4L333sPUqVNHfIAEQZQnLBEZ0C3kEwD++uaHjlMrG7Z/iHOPP6Ko4+nskRE0qqoSom4EyMYymLITVPWpLvY+QpoMaP6SVHZMJ2ctxzSWm+pDEMOgs0fO61waCwoOdtasWYMvfOELePzxx3HzzTfjyCOPBAD84Q9/wMc+9rERHyBBEOUJ+5EFgMa6ADRVwSePO8K187lW5IugP50GhCASQmbaqiBlR1UAw2mZbacU72ADJWbiSIwf/Ok0+iGiWnM/L/pRhcljMLYRKz1PJBLweDzweMrPlJmqsQhi5NncEUFtlReAnueSEK0+NqNtdJcx27MmJCcAQFWg5DIUVBWjK7rCOcQqY9oawg0yFSTGir2RGOS0AmgCvvvnN7POi9vOPw4aNBw9tQyqsVpaWrBlyxZMmjTJsjyRSOCkk05CR0dH4aMlCKLiYD+uAKtQUsZUbfCrCgSwoEtXZ1izzNXtrXj2rS7Hu9G/vdWFxfMa9Sk5Q9npTgOarzRzE0jZIcaKgKoAHgmr1u/AFac34ztLjkF/QkF1QMLBaBJrn9qJlUuOHZOxFazsiKKI/fv3Y8qUKZblBw4cQFNTEwYGBkZ0gKMBKTsEMfLsjcR0Xw0A0GBMH5WAsgM9+GL9e1jy8WBGaB29CcyuC2AAQFdvAi1GovJomaflC6/s5GPi2Nkjoy+Rzjw/ip5ARGXBzvlSNBXMW9n5f//v/5l//+Uvf0FdXZ35WFEUPP3002hubh7icAmCqDQyJdAS4JAnwxgttYGNJw6gyljGxrN26TyEBMlZpQEAVUFtlReiUYJeW+UFVGXQ14wFmb5dGeXKycQR0KvTbnL4PEbL7ZmoHPZEYkgb50cpnhd5KzuiKOovEATYX+L1ejF79mz88Ic/NEvR8+H555/HD37wA7zyyivYt28f1q1bh2XLlgEAUqkUbrnlFjz55JPo6OhAXV0dFi9ejNWrV6OxsdHcxuzZs7Fnzx7LdletWoUbb7wx73GQskMQI4+TwlAKyg5PtF9GbXV2o9J8p6T8qoykw2vY8rHIi9ncEUFjna6p5TreSU8IvdEYaquzn4/2y6irDZHCQ+SFvelvd6+Mhrrs84ItH8nzYsSVHeat09zcjC1btqChoWHYg4zFYpg/fz6+9KUv4YILLrA8J8syXn31Vdx6662YP38+enp6cO211+Izn/kMXn75Zcu6d911F6688krzcU1NzbDHRhDE8OBzR25Z9wbWLJ2nG9oBgJHLE42nIAAQfMU3unMyOQyEgpZ8onzKZVUAovF3KZbY1lZ5LeqOI4aJ4xTj/QNAS42ez9Q/oKBfESEl0ujskSngIQaFVTqyc6y+tvRMBUekGuvw4cOYMGHC8AYiCBZlx4ktW7ZgwYIF2LNnD2bOnAlAV3auu+46XHfddUPeNyk7BDHy2KuCAgCgwb0/VhGnTsI9MhKqZubr8Dk3IY2VludWdgRRgKZq8ABIQ8/58agyUg6v8aoy0p6xUUb2RmKW9+fa+VyA+fzapXP0Kb1R/lyI8ifcIwOqZublAYOrpGOh7BQc7Nxzzz2YPXs2Pv/5zwMAPve5z+GPf/wjpk+fjieffBLz588f0oDzCXb+9re/4ZOf/CQOHz5svqnZs2cjkUgglUph5syZuOSSS3D99dfnLIFPJpNIJpPm42g0iqamJgp2CGIE4Rtu3vL4G1jVrueJDDa1UowAYW8klulublRT2T108ikjD4ejXDWX3th0LDucOxEOR7Pen9u0ob0r/Wh/LkT5w25qBOjNbxs8GFVLhqKVnv/85z/Hr371KwDAU089hb/97W/YsGEDfve732HFihX461//OvRR5yCRSOA73/kOLr74Yssb+uY3v4mTTjoJEydOxD/+8Q+sXLkS+/btw49+9CPXba1atQp33nlnUcZJEIQO33CTJSvqF8IcScpF6o8VUBV0xVOm30+Nj/nkBBE3SsrzKSNPcF47oiojJAYzr2Edzo1qp7HC/v5yJYTzCdpj8bkQ5Q8/LfVhPIXqukBJWjIUrOxUVVXhnXfeQVNTE6699lokEgk8+OCDeOedd7Bw4UL09PQMbSA5lJ1UKoULL7wQnZ2deO6553JGb7/85S/xla98Bf39/fD7nS85pOwQRPEJh6MW9eOaj89FY11gTJKU7coOBMkshe/oE9FS4y1Y2SlFQ0EA2BuOIsC9v3yVHT6plF+3GEmlROXAJ/73V5KyU19fj71796KpqQkbNmzA3XffDUBvEKooI594lEql8K//+q/Ys2cPnnnmmUGDkYULFyKdTuP999/H0Ucf7biO3+93DYQIghgZmEsxr36MVfk5a/WQMQaUEdD8gBBEbZWu1PT0Ot+NdvfKEOsyyk5/AUrQmCBK+PNbXfj0MVNdj/WaZa2Wz2Lt0nmorw26tvKgLumEG2xauMEDwCfpveNynBtJz9gEzQUHOxdccAEuueQSzJ07F5FIBEuWLAEAvPbaa2afrJGCBTrvvvsunn322SzXZie2bt0KURSzTA8JghhdArBWK21c0YYEgP958T2sam9FjFMQQj4Jj7z4Hi4/PduriyUXW4zxCjS+SxidzrviKTT4JMSEICRBzzNg/h85K0hEwXxP/DZcK7GGdMRGhgCAs45tNHt32ZuBNvj0bvSaIJnPsx8o18ahYxm8ESVLZ48MTZQQjSdQXRfIFCHkODdmjVHu15Aagc6ePRt79+7Fvffei+rqagDAvn378PWvf72gbfX392PXrl3m4/feew9bt27FxIkTMX36dHz2s5/Fq6++ij//+c9QFAX79+8HAEycOBE+nw+bNm3C5s2bcdZZZ6GmpgabNm3C9ddfjy984Quor68v9K0RBDGS2Ez3AqqCKICvfazZLHdmCAC++rFmRG0KQjgSAzRjBQMNgKZqCEdieTuxMmWCNwOEquAwgAkAIEgIAa5GaJPZBdowFyxVQ0E2Rvb+7KXnDcYVnyWSmlYADuuaCMW3BSDKE386je60fl7xJqIhAc65bGP4PRqxRqBD4bnnnsNZZ52Vtfyyyy7DHXfc4erI/Oyzz6KtrQ2vvvoqvv71r+Ptt99GMplEc3MzvvjFL+KGG24oaJqKSs8JYmQxS725nBEWCAxWDs23MfCrWu71JSETiOTAbigYMEz//NBL0d/Z34MTptWbrRXYBdoMdrgxaapmbsOtvHYsq5f2RmKmkaP92G1Z0YaYBhyI6qXpzAqAL0Mf7HMhCEA/x5Oqhg97E2isC8AHYACjW3YOFLH0HAD+93//Fw8++CA6OjqwadMmzJo1C2vXrkVzczOWLl06rIGPBRTsEMTIov/gWpN4tyxflNVtPFfPph37onmVTw928WS9n2o9gA8wk6bjqUzCciEJlfbE61IqO2fjiwkSJIcEZZYg3p32o9onWfuD2T6XBk8KCTEwrOlDonJhSf8AzCpHr6ogkeNc8qsKpo1w4n7REpQfeOAB3Hbbbbjuuuvwve99z0xKnjBhAtauXVuWwQ5BECOLUxKvU7dxt55NgO6uPGipeh6yuD+dNktiWcuKkBjEAa4UvZBk46THA3865l52LgrOAxklkh4PQukYoPmzjt2W5YsQE4Ko9vG9y4JZn4tpMkh9swgXmJ1Do3le6ef4tvfDjufSq++HcdLsyWM23oKVnXnz5uH73/8+li1bhpqaGmzbtg0tLS3Yvn072tra0N3dXayxFg1SdghiZNncEckq596yfIHuRIyMmpDLwG6klB12B8ryVdiYbv7UvCEpO4De9PBmtwTMEggE9kRiEOGu7KjwY8DwQRKQSYvq6ZMxoYZMBonB4c8rFcDAGFkyFG0aq6qqCm+//TZmzZplCXbeffddnHDCCYjH48Me/GhDwQ5BjCxOgUpfPIXmGi8APeBwzQ/RFMiiZPxYK4OuO9jFc084CpH7YfervGuwYk6tFZpnwKbHTFWnxKZ42HSWJWdn+SJuiktXdsyyYWQ+F91kcHjHnahsmOcUwM6roZ9Lw6Fo01jNzc3YunUrZs2aZVm+YcMGHHvssYWPlCCIisNMRraVoG5c0QZg8DLnIMsfEaVhl0SLRtk5AEtZ7Jr2VrMkfShl5KUU2DiRECW82nHQcuzY8YQQNH+oWNkwoH8ua6kUnciDhO28Gs65NBoUHOzccMMN+MY3voFEIgFN0/DPf/4Tv/71r7Fq1Sr813/9VzHGSBBEGbEnEtM7fjuUc+fVMsIwuwupinnxHE7OTv+AAp8HEAUJEGCOCcb2AZRuGfkw8KgKTmqeYjEKZDk7IVVBv6HoWMuGg0Zz1LExfyTKB4sdgSCZj0v1XCo42Pnyl7+Mqqoq3HLLLZBlGZdccgkaGxvx4x//GBdddFExxkgQRJnQ2SMjaNz5dx3qR8vE6syTgp50zHrn5FINQpx6wKsNfGWQRwAgSIOOie1z2wfdWDizwdwOfJnXBgy1I4syVjHSDqpYQpTw65f24AunzjIVnWofTN8jATCPPSk7RC6YMgjA8p0o1XOp4GAHAC699FJceumlkGUZ/f395FZMEOMQlrPClyX702mzumdqfTWut8nZ669dZFb+OMJVBvFqgx3N+Ic8Mg6ZcnF8U4NlPFuWLwIAyMgtvZersuN0nFOqgi8vnIXDhjmio1kg9xk4QiaDBACvqoCFO6yhLlNtXaexxqupYKlACcoEURh7IjHc5NRzqb1Vn78XcpiLYXADu5gGPYnWeG6oxoLhSMxULezjmW7Y2ycA/HlbJz49f0bWWNnycmyCGY7EXE0FJaM6nr1/wEgyBZA0/ieTQcINZvjJn1sdfWJWo99SSlAuONhpbm6GILj7SHR0dBSyuZKAgh2CyJ/OHhn+dMyxLBnIVGY4laDyxoKDdeMG/KZUPpTy884eGVA106LePp7MWEq3g/lwYE7KTqXngJ/r/K43cgT0xHLmdp1WZASkINKwTh+GfBI8AKZTsDNuyVRbZs6teGr0O54DRazGuu666yyPU6kUXnvtNWzYsAErVqwoeKAEQZQX/nTavZv20nnQ4G7UlwkuBu/GzZdHDyVZ1p/Wf8FZwGQfDxtLoaaC5YLTcd6yfJFeiWUobwFNDyijcf0eXZIyZo5JMYhkHuaPxPiDfUf4c0vyBUu24zkwgtNY9913H15++WU89NBDI7G5UYWUHYKwkqvT+N5IDAcPy5gywVnZAeCqljBjQTelhhnc5VJ28m1jwPphBUjZsSg7vPIm2ZSdkE9CzFB2mCeRa2sPMb++ZETl4aTshDRlTNqoFLU3lhMdHR048cQTEY1GR2JzowoFOwSRwSnXA7D++LsZzq1ZOg8ABjEXc379P5YvgBdGA19jiiVTqi5Z2xi4jI2/mO4OR5FWgaBHynJtNnN2DGUHxo+6faxseVnm7LiYCgKZz4fvkaUHmVxbD8D88XJTd2Y1lN9xIYYP632XEHP3V7O0UUFx8rxGPdi59957cf/99+P9998fic2NKhTsEIQO6+otqjJUB+WFLXdSZhp8UiZhEXqCq9Md3qr2Vldlh8GSZTuMjsr20tbB2hiw95FWNVSLgtnd26LsrGjTe/rkGCszQivHZFy++zn78WHHmL1nvvs5BJjHI8FtZyAlo9arH/sshacA12in6r1SN2YknGGJ/wE1o+awwoLRPo+KFux85CMfsSQoa5qG/fv3IxwO4/7778dVV1019FGPERTsEITOjn1Ri5Li1iogWzFYoJcqa1ajMabO5KPsrL92kdm2gMFaGRTaxiActinMhqEgf8fZXO0dfKwAUKbTWHx39psffwOfnT8Vx8yYhAYPEAVQK0joNpJKIUg4rClIc60jzDYShpeRq8KTx/SEW/VeqfQSIwojHI6iOw0IAjBJSgJiULdoGIPzqGjBzp133ml5LIoiJk+ejLa2NhxzzDFDG+0YQ8EOQehs7ohklY+6VUvxzx9RF8iyvPmgO4qZDbXZU0NAluIQjacAAI11ATiRr7LDKrNYvo799U5jyfV8scplR4O9kVhWL7AuQykDgIdffA+Xn94MIPP++efZ32yKa+M7+7HoqGmOal4utSdX9R41FS1P9kZi5vfjjifexLGNdfj8yTPG5DwqWjXW7bffPqyBEQRRuphGc3mY/jFaaoB+VUE1rE0lj5hUi5UO5mJrls4zVCDo81Xcvvnu5Pb9As5GeVljQyYpmeFkdLZl+SJOOSpNI7ThYDdl7B9QzGNc5wG++LFmS7VbiDMa7E5b20gMAPjE3GmW6S2nz2mSB0ioGnbsiyIaT6GlxsjCyvGZsao5onwIcN+VWz99HG55/A1c9pHpJX0eFazsFJKAXC4qCSk7BKGzNxLL2/SPJQyDK83u6NVzQPT5fOe7PJaPY9/HxhVt6DJeDyAr/+fmx9/A2vbWvMzu2Ptg23EbS5ctJ6iSlJ2woW6x4/XNj89FY13AfM8v7TqAU4+cCsCqnAFWVcdIGXc1KGTL/rl8AWRb8vgWo/ErGRRWFrxyavnujEGif9GmsURRzGkqCOh5PIIgQFHK446Igh2C0AmHo3mb/jn5z7Ak2Fzl3Dd/ap5lW2wfLTVedKfBTXXp1w9+PPryHOXQ0H84WWks245bGXx32j8mRmijAftBemJbJz43fwa6DdWMz4MKaXzpsGE2iMw61s/D2aCQLXP6TNmU2FBMIYnSpSMcRQ1gKTVfY+TTjfZ5VLRg55FHHsGNN96Iyy+/HKeddhoAYNOmTXjkkUewatUqzJ4921z3X/7lX4Y2+lGGgh2C0GElpfkmKN/yqXmo8WTu/hOi5PjDZ1dTWmq8WfvYaKgAbBrFHqywBOV8yqE3d0QswdNwcnbKNadkx74ogh4gaBwvyXaP6pQHZYd9VkB20rreQT2zzP6YreP0WiA7qZwoHzIeVpkbD/Z4tM+jogU7Z599Nr785S/j4osvtix/9NFH8Ytf/ALPPffckAY8llCwQxA6bspOS40XEKWsixqf0KovV9DRlzKDmUKVHUAPmPgfWTYedlHlze4A53LovkQ6K7ByGssaLngaTSO00YAlmwsAvrd+B+465yi9sopTc9a/3onPnjDDcncO6M1Rg7AqO9F+GbXVDq0nbD92jqXupOxUFKzakT+vtixfoOfsjPJ5VLRgJxgMYtu2bZg7d65l+TvvvIMTTzwRsiwPbcRjCAU7BKHjpOywsnKmpvDl37d8ah4megDReH0+yg4AR/Uol7Jjenmw0vZByqF1Lx9lUGXHySXYYoRWxi7BzEbgkApAExD0ing/3IvZk+sAZAIQVVUQ5AJZO3ZjR2vrCfa5ZPpt8Z8JsxMgZaey4JUd/rxqrvGa1wDzPCqyn1LRgp2jjz4aS5cuxb333mtZ/u1vfxt/+tOfsHPnzqGNeAyhYIcgdDJmYdZcDCC/aQ9mSJfLqG9Ne2vWPqLxFFrqAkgBUJAxFWQd1O0l1GxGxu+mGBjj4JOh3cYiA7jZpYKkXFUdIPODlFY1VCMOiEHENN38DXA+JiyhGADS0Mt1mbGjHJcRrHJqPSEjKQbN4jo+eHRKACdlp/zhk99dc3RG6UahaMHOk08+iQsvvBBHHnkkFi5cCAD45z//iXfffRd//OMfcd555w1v5GMABTsEoWOa8XHmYBM8hkcF1yXb8rcThvKSy2CM3wc/jWXfBjg1p0dVUC9Y1+G3wbxfYKg6vCme21gmTwqZ7r6jdTc6GliMFdn0Ff8/b7JoHBOznJyb7uKPo+Pnxa1rPgYs7T7s+7MklZdpAvh4hhlWKgKQQvZ55QUwbZQC2KL57Jx33nl455138MADD+Dtt98GAJx//vn46le/iqampqGPmCCIMSchSplSb8Pxli8fDhl37ez51e2tlhJvIDunxlzI/hMFAJJlH0BmGsvSDFQMckEPUC9lkorZmOzd0LesaDM7eVdzeSWOYzEo98DGiaTHA7+q38vGNEDicrG6e2XMqMs+JvbGqwBQ7YO5DfM7sXwBIHKfBQtwAMv3Z3W70R1dcy8//x5bhygbWB6dJASRYgu580pyed1YMmK9scoZUnYIQoclKG/adQCnHTk1axqLTVdkStAV8weSv4sfLOHX3pG7wZNCHF5UwVoafcvjb2CV8WPIgiCe/piMmlAQA6qG+IACeUDBtFq/ma9TqWXl+cKmsh57dS8uObERMUGCoMnQXBJJ17S3AkY+VYhTa+xJ63wlG489X8upWSS5KJc3uiN2umTOq6I2At24cSMefPBBdHR04Pe//z2OOOII/O///i+am5txxhlnDGvgYwEFOwShszcSg6QqGOASSs2eVbZKnpDGBytAR192hY5b52O+IzfrZM5Ko+15HvxUGe//0uABZEFCV28cP3t2lyVxlv3A8oFZJZWV50s4HEUMAAQJkpAdpPKfT7VPMltt2HOyspPWF2XtqzsNc3qL/35kXJopSbkScKrYHEsjzqJNY/3xj3/EF7/4RVx66aV49dVXkUwmAQC9vb34/ve/jyeffHLooyYIYkxhP4IhVcbq9lbzLrya9Ugypit83I9ml/F8bRXgVZWclvEKZxTI9pGAMT2m6dU8zIaebWcVN83BpqbY/y/u6sYnWoKWseoXYiVTsZVjPLMqONAB9OMswZgS1Pw5jwXfaoO1j+C3w38nEmK2shONJ1Bb5TXXTdqUv5AqY63xefN5Ox4BmalKouRh51cpt4ZwYkhdz6+//nr827/9G2pqarBt2za0tLTgtddew5IlS7B///5ijbVokLJDEDpOpedO3cjZNAdTB7wewG/8qL36fhgnzZ6cdcfHljdlKTt6KTuvPACwTXPpyoGdBk8SMXuLAkPZ4XN1nFSmGeOgAoj3Q+GPb6678b2RGHyqjAExyKlj7t8J/nNh7tlMBTQDTyAvM0ii9ClXZWdIPjtvvfUWZs+ebQl2Ojo6MG/ePCQSbm4NpQsFOwRhzMWrGhIAUmkZXo9+IavxSVm5MuZ0CKw9rID8ylHtUyUPPr8b1545x7E0+hqup9MRdQF8aExzuZU1N9YFcpa+f6+9FUGMj35MLGdHUmV4jcTywY5JuEdGTNH0z8GoJ2dWAfaSchh/AzCPOyv51wDL90MAIBrjcKzKKmNPo/EE3z+vFM6vok1jTZs2Dbt27bK0hQCAF154AS0tLQUPlCCIsWdPJGZKzwEAihTEjevc8zMsHcYtyyWEBGCVMd2RVeZdn+lerk+VyOiFH19eNAdQFYQEySxL57fDOnb7uW7L/HSXpUrIGFdIkFzHgRKU2YuBX1UgQJ/K8xrHd7BjMrk+CERi5ucAVdGfF4JmRdUtn5pnfv61VXoJekBVzGosQFd8Ah6gP811SOe24aTuEKVPoEzPr4KDnSuvvBLXXnstfvnLX0IQBHR1dWHTpk341re+hVtvvbUYYyQIooh09sgI2hJSB8vPAGDmWfBVUgFVBoTcZd5AJgckIQbhB584a7ShONSPlonVAGDpTp6AXgrN//9O1yHHsWaNheFiiFiJJLl8GXZ88zkmkx0SlQVY826YYsNK09lj9r89v4ptozdqzQdjVVmHojIkScCM+qDpe8S3AKnkRPJygrcnKKfzq+Bg58Ybb4Sqqjj77LMhyzLOPPNM+P1+fOtb38I111xTjDESBFFE/Om0RakBYLmIKaoCXpAeAODjNyBI6E6xlgLuSYv83Z6e18Ht0/ibqT1T66tx/TrWc2eRqeJkGdgB+Mj0iUgAuvkht49yS6AsBk7HN99j4pSozL4XrmaSHHYFjtFYk+ml1VKTaTGS0ET402mEIzH4AWhGeXtvXHdy6YzExkWeVamTVBXUofzOryH77AwMDGDXrl3o7+/HvHnzUF1djXg8jqqqqpEeY9GhnB1iPBOOxMxcGYspnDHVsHFFm8U40AvdNZXlY6TSMsIxMSt/JlfSIr9PAEgCjv49dk8XRZXhMbx+YBvrPe2t8IPLISqRBMqxxGz/gUzeTb7HhFd2+KlK87MyHtuzNJ2W869nnxezHLD0YBODugEh3A0Iy7mFRyXg1her4hKUnUgmk7jvvvtw7733UjUWQZQZlukKVQFslRYNnox0zYKPjHmcXqUTTykFGfjtjcSwo+sQjm2caG7X7fVbli+A0SnL9G9hj53M7nJta7yYCTL2RmLmcUmpCsQcx0RRFbRwx4RVzLGqO4b9O2FXeZyW26cX7RV3fIk6GRCWNqzBbKmcXyOeoJxMJnHHHXfgqaeegs/nw7e//W0sW7YMDz30EG6++WZIkoTrr7++oEE+//zz+MEPfoBXXnkF+/btw7p167Bs2TLzeU3TcPvtt+M///M/cfjwYZx++ul44IEHLB3XDx06hGuuuQZPPPEERFHEhRdeiB//+Meorq4uaCwEMV7hpyt4D42b1+l33+zHqBe6aVyDB+gy/me5N5JPn5rYG+51TFp8P9yL5qkTLPs8avpE8weRefWEVDnr9fwPZciWD8BPfXXFRXNsbtvi7zzHA8wHqcEDQJTwq5f2OB6TX720B5eeOsvy2qTHg1A6Zgl6gczxZZ8dH6SwMnV+OQDL6zPfrXnmZ2efLuOTzhmmAWHawYOAGDWiZXp+5a3sfOc738GDDz6IxYsX4x//+AfC4TCuuOIKvPTSS7jpppvwuc99DpJUmDHU+vXr8eKLL+Lkk0/GBRdckBXs3HPPPVi1ahUeeeQRNDc349Zbb8Ubb7yBt956C4GALowuWbIE+/btw4MPPohUKoUrrrgCH/3oR/Hoo4/mPQ5SdojxBp8Aancr5j1q9KkPZVBlJ2Q0lxysTQTDnvw6mBqzZuk8AJnn2eOEKJktI/pI2cmCV3YGVAVSjmOSVhXMsR0TVqXH3LEBZ2VnAICPawDKljP419uVnaQYtHS059ehLumlA7tmAKXVhmXEp7FaWlqwdu1afOYzn8H27dtxwgkn4PLLL8d///d/QxDstRaFIwiCJdjRNA2NjY1Yvnw5vvWtbwHQXZqnTp2Khx9+GBdddBF27NiBefPmYcuWLTjllFMAABs2bMB5552Hzs5ONDY2Ou4rmUyazs+AfrCampoo2CHGBXsiMdxk3DU/ctmJmNdQY05F8aZwMcBcxv/AZQc8XKXPIG0iGKxrMktstjegtN8t2ls/MNhYu7mxm4FZTEZ1KHtb/TEZNTXjYyrk/XAUkihBUhUoooSHX3wPl53ejBh3TEI+CY+8+B4uP73ZMYhgP3JMmbH3QmOPX3hnPxYfNQ3d3HL2y9BnUXYyZpJZ3dhhXYdaS5QG/DWDNewtlTYsIz6N1dnZiZNPPhkAcPzxx8Pv9+P6668fkUDHiffeew/79+/H4sWLzWV1dXVYuHAhNm3ahIsuugibNm3ChAkTzEAHABYvXgxRFLF582a0t7c7bnvVqlW48847izJugihlOntkvNJx0Cz9rfZJZruGA3ERDT7J/JHaG+6Fz+dHg0/KTF3AmMIyljX4JH0KAoNUYonW6wT7gYxy20WObawxWkaw59ljNtaoMRbWtR0aoASDWOkynvEQ6ABGp3Nkutl/8WPNuMmtXYTLNmbUB9FpJDoDmWTjLttnd9rcabh+nW4CaS43bqU143sGWMvX+RYkfMuI9w8edixP333wMOZMmTCcQ0IUCLOmYJ8H+1zLrQ1L3sGOoijw+TIFpx6Pp6h5MSzReerUqZblU6dONZ/bv38/pkyZYnne4/Fg4sSJOROlV65ciRtuuMF8zJQdgqh0pHQaJzVPMQ0DM00+g6itUjIGcgCaGuoQT+nLaqu8+oXOY5jIGctMI0AAIQxuJshIqAomQN+WxLUTcDMkBGDuaxVXxh4AkEZmTP2GkV3WtniVqQTLYosF+8zYZzpUI7gZk0JmYiqD/06kbdvmW0RAgKULPTMWDGmK2WqCbz3R4AFmT55gfkcZTNnJp+ydGDn0DueZHD6o/rI8v/IOdjRNw+WXXw6/36iCSCTw1a9+FaGQVfZ87LHHRnaERcDv95vvgyBGmlI2REvnaPJZzd19A7AkHlf79LYA1XUB1NhM/QKqjIQQRIBNRwAWF0En2/iAKJnbUKD/G8yQMOnxIB6PIeAPojsNSxsLNhZmYMfGZP9Rt+eGVDrs82UMxwjOvi3+OwEAmzoO4qMtUyzfI/Y5QJQs5oIs0Twa19dky9k69u+oPWeHGD0SogSJa9oLAF2H+tE4sTrr/PrQWF6K5B3sXHbZZZbHX/jCF0Z8MDzTpk0DABw4cADTp083lx84cAAnnniiuc7Bgwctr0un0zh06JD5eoIYTcKRmKWPlAZAUzWEI7GS6MXEzPwYdsM3CzajQTdjv3w6advhq3Py2Q5UBTMm1WKPqplTU3xJun2M5WZ4Vizsn+9wjovTd4VfdlLzFKxcl0ke5/e3Zuk8Uwli6g4zHAQyycyZ71jmO8qMB/V8LD2A3dwRKbkbiUqFfR6sWAEAptZXu04Rl6ryNiI+OyOBW4Lyt771LSxfvhyAPt00ZcqUrATll19+2cwn+utf/4pzzz03Z4KyHarGIkYCZpTnmlgpjX2jQ/sY7YaBArjwQctU1hj9IAFkEhPZY/8QEhU3d0TQYrR/sCcfD2ZSxpSzvkQKzbUBc+w8iaSMgD97W2z5eKnm6eyRoanakEwF7bAGkHxjT43720k1sysxXb0JtNQFENMAyZbuaY4R2caDIU3O6m4PkNHgaMBfM1iuVakYCgKjbCo4VPr7+7Fr1y4AwEc+8hH86Ec/wllnnYWJEydi5syZuOeee7B69WpL6fnrr7+eVXp+4MAB/PznPzdLz0855RQqPSdGFfNHpcRKZsM9MhKqZu0IblRNAQC46iWm2iS4HyF2l9ajAfWsGzlXag4g73Jznh37oqj2SUiqClLpoZeyZtxcrXeTpVIWWwqYLsqGTcBQj0s4HDUVlsMAJvCVVMh8D9YsnYPutN/ymTK1pzutT5du+6Abc6bVW3J1+Go6SZWh2IwHX30/jJNmT846t159P4yTW6aQwlMkmE0Eb0VRSudXWQQ7zz33HM4666ys5Zdddhkefvhh01TwF7/4BQ4fPowzzjgD999/P4466ihz3UOHDuHqq6+2mAr+5Cc/KSh5moIdYrjwrqKlUjLrpDRtWb7I8uMkCVYTuIAqozvtR8gDVCHbMA6wNu1kQZNTuXmuPkYf9siIJtKWJp9DuVsMh6Pm2Hk+6I5iZkNt1rbY8vGi7DBYcDmcO/K390WhAWbC+M+efRdXnzUXqiojaPse2P2beHyqgrgg4UA0YXrvdPUm0FLj5UwtM+XpMUFCQFOQyHFuBTQF08ZRADuaMJuIGGC6aZOyU6ZQsEMMl80dETTWBSw/stF4yryAs8ejlWfQ2SMDqgZBlaFySlOjkYwMAD5VhgC/RdmJ2X6ELFU1Rp4OU3aGe3e3uSOClhqvWYFDyk7xYMd6OMfl7f1R9Mr6dxrI/T1gVX52ZQewBtVuyo5zSwmrj5N5Pjn4OBHDh6nVDPY5aKoCNcf3SFAVzCRlpzShYIcYLk7KzpblC8Ysz4ApHnalacvyReY6MUEylZ3Mj03mR4gtA6x5Or39MmqrgxBUGZqTAaCxfLC7O6Y2MIaq7PQC8IuSo/pUCneepcBIKDu8GzOfo+O2TcCas8O3k2DfPR67Kzev7PAO3Y7n07JWzGoYX59pMWEmgmuXzrPcjDBlZ8P2D3Hu8UdkfeZsedkqOyeddBKefvpp1NfX46677sK3vvUtBIOVMz9KwQ4xXJw6AVf7JKQVGR4pO4cnrcjwekfGZdSel1NnuOKy8fB3w/bggj3HJ456BP1HiS0DkOlQbnSkDgn6MleVAIPfaXdGYmYytAIgkWN7fgDTHLZnHnfAkkWdc2zi2CeKjzbsWA/nMwtHYkjCSGBn3wMjcTireavhssv2t6a91fx8EtATyCf4rZ9Bh/F9SwCIJ2RUBazKDv83NQgtHp09MvxGTzQAWdPMAVVDTBByKIQaJk8evfLzEQ12qqqq8O6772LGjBmQJAn79u3LMvMrZyjYIYZLRziKGsBM8M2U2GYeWy7OGoACcnjcvHvCxo89L+3XVnnh8wC1xngAvarKYuzGnrMbu3HTVRkTOClTisUCCi6Z2c2gbrD3xnIB2P4GBAlJTUMyrZrb83tE+EUBPpfthcNR6zhZwqzA5RHZDQ7HmaoDZJS+4XxmXeEovMY29G3BTFhlU7UsZ2uSBxC4z8G0LOC+O7x9AYCs7yb7zqYFCYdTI3s+Ee6w8zLrmmG0ZRFFYKIoICGKDgqhikOqhqOnlt40Vl4+OyeeeCKuuOIKnHHGGdA0Df/xH//hmgB82223DW3EBFGmhCMxeI28l5gGs1vzlhVtlscMM2HZllTrBt+Xht+G2ULBodx9y4o28y6cjWFteyui8QRq6gLmcskwe2s07qjNuzdYTQNNnw0jURSsWaiLQV3SM3hAwXIzkmLQLD1XxSCS3DpeUYAvl5EcZ1Znye3IYU44HuF7jw3VVFARpYz5I6cW7kukUBPQTR4bAh5Mrg9ibySG7Z0RnDJjkrl/RZUhCUEERMn87vGY3zcYSqIxHZrUjHYghvI43POJcCfcIwPG5xMyPudqo3FCzPgcGusCuH39Dlx4chOm1PqhaEBaVfHOwTj++MperFxy7Ni+CRfyUnZ27tyJ22+/Hbt378arr76KefPmwePJjpMEQcCrr75alIEWE1J2iKGSKTnPrlKw50gMpRSdl5Tt22C47cPsfWV4ywD6jxOQyc8B/JY7an5eniX9OiWgblm+ALKoW8gXUnLOEw5Hjf3p4xhqgjLf5XwkEqcrkXA4ij4AYo5jo6gKWgYpPc+3s/3ucNTSYZ3lr93y+BtY1d6KrkP9aJlQ5bgfe4KyT5VxKO0fkfOJyA2bFv7/XtqDL546y8yxsieVl9I5VrQEZVEUHXtSlTMU7BBDhS995hMr9QTlRcMuRWcBgdM2WIWL0/Prr11kVoOx52/51Dyz1LulxpvlqQMAMVlGKBi05PcMltRqKTkvoNKM+Xc45WMUkqBs75heKt2YS4m9kRgE6D9il546K+vY/OqlPfjCx2bnPDYs8HbtbM/lQu2NxLI6rDfbSsslIduYkE9gjqcyQSxLpC8la4dKZMe+KPweoIabZjRvfIzrRWxAwSRP0vUci6T9OGZ6BQQ7lQgFO8RQySQmJ5AQAxaJX18+vHJZu6FXPknI0XgKACx3vRCDegKoUeqdqajJLtkOaTI6+kRLiXEx7uJYIMdKk4eq7DCTO68xdqeE2fHutFuIKpOLPZFYXmoe/9na113V3orkgIw6j9/M3UlB//zA+bh09IkZE0zDIqE/JqM65KBiGssLVXZKuY/dWMAsNKyVjVbj0YgCdPbE8dCL71mCztOPnIQrTm/GjPoqHDOtQoKd3bt3Y+3atdixYwcAYN68ebj22msxZ86coY94DKFghxgq4XBUDzK4JD5WHrt26bxhl8vyP1JZeTmsjNzh+fXXLjLLeNnz8RSv1mTu2njs03D2ZSNZxm2v+hjKfvjy9Z89+y6+fOYcTBC0rITZQhSnSsQpaLaoMsg/cZtv1+F2bO3Tr9bPU+HUmkzO1ku7DuC0I6fCP0rKjlsu3HgOivnO9mx6m51L7G8BwO1PvIljG+vwkaYJSKZV+D0iXtt7GDu6enHn0uNH9VwrWrDzl7/8BZ/5zGdw4okn4vTTTwcAvPjii9i2bRueeOIJfOITnxjeyMcACnaIocKUHYZTj6DhlMs6lbTb83YEAD19MibUZJ4/wkhC5hWmpBg0S73N5bb9sVLh1Ua5N7+sGGXcTClY0946pP2wHlusFJoUHWfCPTJiijaq5fhuKtCq9lYz8Ippevm6IgaRMP7mpyIBq3I5Ujk7uXLhxvt0J8MsOYduC8D+LrVzrWjBzkc+8hGcc845WL16tWX5jTfeiL/+9a+UoEyMK8ySXg4+R2a4LSTc2lBsWb7A4kDrZh5oNwRzKi2PA6jiysv57sajUcat//Ckc5ZFu+3HvBO1j5NXLcZpUrId1iNrNMvxnVQgfzpt+T6yEmdmPVADNfM8kOXePRLKTq5cuPGc/8OuZxY7CvvjEjvXihbsBAIBvPHGG5g7d65l+TvvvIMTTjgBiYS9/3DpQ8EOMVTsyg6Quft06vlU6N0om0Pf3xPDtPqQZf6cbZ/fJ98Wgl+HT95l0wb86zds/xDLjj8CgLWD+EhNfeRLPlMkPE7KFyUlu1Po8S0GfGK6U4I6ADyxrRPnz58BwJrEvH77h1hiOPfy51Khzr38GKiyKwM7n/hrA2M4PeyKyYj67PBMnjwZW7duzQp2tm7dWlEVWgSRD/0DCgIewOI6ZfiY1FZ5jZwZlx8TIZjV08kO28bsCcYFRNDvxLsHFNRWeTGgKoZ5oHUfbLv8GPSch6DunwE/95yETxx3BK7nphy2LF8AvRw8iFtcElIxyNiHQqE/vGZOUo5xzqJAx6QUgj779/GWdXqndPb395bOw+dOmGF+v7rTQLVHD3jajzsCTrfTy447AvECvo/DPS8rlazrBgdblutcC5bwcSs42Lnyyitx1VVXoaOjAx/72McA6Dk799xzD2644YYRHyBBlCrhHtk0O2NmaEDGxG81b/o3RCM0lpcT0wB2v8Sbe9n3yfaxcUUbBMA0BAOAhCAhxPW4YiZuO7oO4SONE7GqvdVUb7rTunoTUuXMcgfFZKxJejxIJmOo9QYt468JGOMUx7OVYIkiMlfvzPere0BBgyeh5/MgY3gZAEzTyCoM71yyj4EMCq3sicQgGsecXRv8gGnyyZbluiYMZkw5lhQ8jaVpGtauXYsf/vCH6OrqAgA0NjZixYoV+OY3vwlBKL+LC01jEUOBb4xoLc/Up37gYDRYqFy+PxxFitsGS4Bm+Tpsn8wfJ6Aq+o8JZ8lv72p+y+Nv4GYjnwhwLy1f094K2XBnLoVERDfyLYcmSgO+U73Td2/jijYMpGTUSv6sSqCRmnqiaSwrpoeSUeLPV2vaFZ5SMhQERslnp6+vDwBQU1Mz1E2UBBTsEENhTziq3wmpVsdhVuo9EuWyzEeGT9jkO0bzLschLdMKICHwJnv8hcuaT6Rvw30OHmIQSVEY8zyPwSiFXBQiP1g/M7cu7PZyc3uwTgnKIw87HvZjbm8eDBTPimKokKlgAVCwQwwFFogkRKuyA8BihJbvHaSTwZk/nc6yz2fbBqw9j6zl7pkAaajKznhur0AUj72RmOni7absfH/9Dtx1zlEOKsPwTDr5MXx//Q581ujv1J9QUBPw4EA0YfZ3Gk/KjunDxCs7goSOaMI0F2WU2vWCgp0CoGCHGArM0I6fyuI7BCcKUHbcDM50T5J8lZ2M3MwHSGxc1T4J0X4ZtdX2ZObSulMjKpsd+/TyZjdlRxQBaAKCXtFmbpkxyByqSSdj54EooAm4689vZm3n1k8fBwij27l7rLF3Oud7YTG3dQ1WH7FSqXwsWjUWQRA60XgKDT4JXcb/Ca4DtwA9YTkh6kmYa9tbs+5GPQIAQUJnj4y/bP8Qq43AhuUpROMpSNw2mHIT4jpXM9UmZFd2AL3yylgnGk+gwSdBCQWx0jDxY+SsrqAEX2KE4ZPrnb57zy7/F1QjDiBonltA5rseOex8PomCXjSQjzmiTxRRjbjjdkJeEX5V1wDGSzsJXv1NGEnKMSGIGp+hIbNIR8t9vSjlykdSdkDKDjE0mKEdU3PsRlwmOe5G1yxrRVxToAoSNFWGIAYdzQHdTNayTANhmAS6rMffvZnbKrJpIEHw8EaQCoCUzUiS/z7z39tuo33ESKg7udqwsPNSFjBu2kkwM8GIAogiUG/ciFlMjpgpaQkZCgJFmsZKpVI499xz8fOf/zzLZ6ecoWCHGAp2Q0EnIy4gW/rl83YynZ7159/Z34OjptVnmQNuMvoG2bEbffHkWpaZehtd00CC4I0gnb57TmXMfGPQXOdTvlMprAt8rvPSnys/qAjtNcYS/lrGRBxLgYMoZbXrKIUpLKBI01herxevv/76sAdHEJVAxtBPV1B4Iy7zjpQhBHVPHEOSb/CkkICU6TpuGJmdMLXe5mCsd4Q+a85UdA8okCTjrsvAbhrI75c3EGTwEvSW5YtG3TSQIAKqAhXu0yFrls7LMvaLCUHUVimcIuluCOhPp/MaQ67t+DnTQf687Y2n9BV8leXDwx/rNPTAwP75/ORzx+GEWZPLcgoLGMI01vXXXw+/35/VG6ucIWWHGAr2VgWmSgNb4zzAbJ6nd0PX3WJDmuHHA8M0UDBM0x63mgOC22aLYWDIE+Bez69j3plBl53td7JuCaKUnEwUk84eGZqqYdsH3Zg/s8Fx+jQJS5oIUmkZXk/QaqLplvQvDK5IdkZi8OfYjpnTxp23lTydFY7EzGPOcLQF8ElIAujjVeAxzmMqWjXWNddcg//5n//B3LlzcfLJJyMUsn7YP/rRj4Y24jGEgh2iUDp7ZPjSaQjQ8wvSmoI6zsSPN0IDkCWLO8n0CTEIVZUhcrJ6S43XrKRiAQrbNsNe3s4qw1iJKKvoYjkKrGxUV3ZKq4yUGB8wXxen7x5z5w16gKBxTtltFJ56qwufmNeYNf30t7e6sHhe46BBOqukdLOFYIzElJmdUkx6ZgapfA5iuVwbihbsnHXWWe4bEwQ888wzhWyuJKBghyiUcDhqXnhVVcb+PhHf+7+3cN8lJ2UZoZkYwUZIU7JKxdljvkx9y/IFpgFg5gKroKMvZeYuaMiU5PKBFn8h50tJ+RwEUnaIscLuYGz97mW+43/e1olPz59h/S4DUHLYOUiagqZBfog3d0RMnx/7dlhfOMZImg+6WUyMtUr0QTiKfcYxL9WGn26Qz04BULBDFAozFAT0i2E8pWDJjzdiy/JFFlOuhK1y26nbs9Nyu3cPU3l41YgPcPjAp6MvZTFs4716+Ds1UnaIsSIfZYevyso2yMzPXNBNRclX2WH7Gom2Eqwlw0iqRCMFKTs52LVrF3bv3o0zzzwTVVVV0DStLPtiARTsEIXDKzvsordyXSaw4E25GHyAYi+tdVJ21l+7yLzwuvXg4ttBABhU2eHv1KYPcvc2lhdforLZE4kh6PLdS6oK/FnfcTbNqyAI5FV+nktFEeFu+Lll+SJbon/lt6jgr2f2CtFxq+xEIhH867/+K5599lkIgoB3330XLS0t+NKXvoT6+nr88Ic/HPbgRxsKdohcON0daqpmSZYMabKZdMySgmMacCCaSSe2Tj1Ze1TxF3WWtMySjQGYXdXt3dVDhucFg18npiGj7HCPM8rOAr3iosQbfRKVx4eRGOKKijv+35uOyo79O87OMSc11E0l+cnT72DFv8xBQhStpoFGErS9lJrfBm8jwZKj7euw5ZXQfHRvJGYppoCQfb0AOGUHpWNLUbRg59/+7d9w8OBB/Nd//ReOPfZYbNu2DS0tLfjLX/6CG264AW+++eawBz/aULBDuOF2d7hm6Tz9AWey5dQQtDuVUV34pGIn0zTTtAt6BUg8pWQbFDKY4ZdbebixHbuBYMJu4FaC1RVE5RMORxEXJHRF4wj5PehPKKgOSIgl05hT48usyJ0X7LvMq6FuhoCHNQUTXNQfPifHaRvrr9WNPMeTsmMaPQJZx9ypWg7jYRpr2rRp+Mtf/oL58+ejpqbGDHY6OjpwwgknoL+/f9iDH20o2CGcyDXHznAyRpteq98jdffKaKhzDhrsOTt87xkgUwHCP2d/Pduv2/btz5eLLE1UPp09MrzpGAYcvo88TjluTHVJDsjw+3Ln2/hVGclBzl9+qtdu5snWSYpBDKga4gMK5AEFtVUe1Ho1KPBgRpkrO509Mj7siZvv2Sl/sJSnuIvWGysWiyEYzH6Thw4dgt/vd3gFQZQn/nTa1XQsk5ycbYzGWjzU11rzaQC+bYP1OUcTQr6lQ1Z7CH2/Myb4cdnpc7IUILt5oNtY+YRDghgtZtQHsSei4WY3U0GDmBDEH7d8gAtPmYlb1r2BNUvnmUaaAa9zsG9tyJt9/gZUJXNjwcw+BWb2CYAzB4Wxjh+AJgpIigJUTYOqAWl4EChAK2Dmn44I2deK0cKfTnPmpJJpRlquPbDcKFjZOe+883DyySfju9/9LmpqavD6669j1qxZuOiii6CqKv7whz8Ua6xFg5QdwolwJJbTdMzNPr3GJ1nychi8MSAj4bI8pgGSYPX5EAB86FAWGo2nLLk9dm+QBt/gVu+k7BBjAcuH46dQNaMJJ/89TqsKPKIED3SHX5aD5nZusvPJaZ0XVrSZ5p92M0/WGBTI5MYhx77uXtaK+qAXdUFu6s2FXNeTfM0Qi0E4EjPfc3evjBl1Qcu0fH+JT3EXbRpr+/btOPvss3HSSSfhmWeewWc+8xm8+eabOHToEF588UXMmTNn2IMfbSjYIewwl9dcpalO5dyAPuefqbCSEYUftbBWSjH4Cwq/PCbLmBTwW7x5+GaI/H75qi0n88CNK9pcx1qKpaTE+IbljyiCHqTz31n2XbZXF9rPTXY+8T/e/HrM8POJbZ04n/PxATKqLatOAoCuQ/1onFidnchsLM/nRmFvJIZEUkbAnz1mtnwsbjhMGw3bdYNR6gULRS097+3txc9+9jNs27YN/f39OOmkk/CNb3wD06dPH9agxwoKdgg7rAuwaxLk0nmGn42apZawOX/W1JPBJzAfBjABMB9b/HMALiHT2XXZ7sfDOzbb84gAkIEgUTZs7oiY6qU9H6652mueM7kMAXmvK3uS8m+vOhWNdQGoqgLNZvmwduk807fKrypIQk9lHonE4lJNUGZl5+XaFLhiTAVnz56NPXv2ZC3/+te/jvvuuw9tbW34+9//bnnuK1/5Cn7+85/nvQ8KdggepuoAwEBKhs/rfve45Mcbs17PKzu3PP6GmYOQECV4VQUpMVvZ4V1jAZgXW34bvOsyr9JsWb7A7AjtpOD89qpTMbnGCzGHsqOoClpI2SFKAKbsOCmR+So7bB0BQL8sY1LQGvzzNwYJMYhov4wp1fo6SVVv/cIbgsZkGaFg9r7Y8nyVnVJMUGbKTrkqv0UNdnp6evDf//3f2LFjBwBg3rx5uOKKKzBx4sShj9iFcDgMRckkbm3fvh2f+MQn8Oyzz6KtrQ1tbW046qijcNddd5nrBIPBgoIWCnYIHqbqAO53dN9bOg+iKGGlLYEP4Jp3Zrkk20rTYZ3aytXzit+ePSfHLCP3ZPfJ4hWcX720B5eeOst1OSk7RCngNIVsfl89AHIqO3oyvt0Cgld3MuengpQgwasplunihCjhF8/vxiWnzh7R8vNyUHbKUfktWrDz/PPP4/zzz0ddXR1OOeUUAMArr7yCw4cP44knnsCZZ545vJEPwnXXXYc///nPePfddyEIAtra2nDiiSdi7dq1Q94mBTsED+tmDribjgFwNOoDgC3GxZQ9t2bpnMxUFLJNAFkyZVbXYds2YkIQQQEQjE7M9lwGtzG9sKLN7PBcDiZhBMGSeR2VHeQ2BASs55lTwj40WJQbfh3eENRejj1URYYP4PJpczFamONC+V4fihbstLa24rTTTsMDDzwASdK/WIqi4Otf/zr+8Y9/4I033hjeyHMwMDCAxsZG3HDDDbjpppsAAG1tbXjzzTehaRqmTZuG888/H7feeqtjeTwjmUwimUyaj6PRKJqamijYIQBYlR3eWMt6kcth1OfJfi2v2HSn9f/ZMruxIHusARAs20gB8CItSPAYRoZ8LoPTmPviKTTXeF3HWoomYQQRDkdzn1uA7fxKISEG3O0c7Ocil+zPbw+aois89ufdrgMagDwUGfOaIkjQBCAJ520lJWFUO6Lv2BeFKAJVIlCV4/oQVxXMLNHrQ9F8dnbt2oU//OEPZqADAJIk4YYbbsD//M//DG20efL444/j8OHDuPzyy81ll1xyCWbNmoXGxka8/vrr+M53voOdO3fisccec93OqlWrcOeddxZ1rER5Eu6RAVGytFy4eZ1DEiSXNGz3zsgkOGae4ys7onH9nrOhLoAEgGqf9U41Gk+gwVB6tndGcPyMSQCA9/qA6XXG3aRglZsTotUCnx9Tdxp6kqHDWAEAhkkYQZQKZsKs/fvqcG6uNVTPm9e9gXvaW+GHfh5E4wnU1AVMVZOdx3rej4xoXEQDZ/cAABAkSAB+/epetJ/UZC52ug6Y00+i1cjQEW4d2aH8nLVuufmPr49qR/RoPIUpNX4IooDHt3+Ic48/Imsdt+XlRsHKzumnn44VK1Zg2bJlluWPP/44Vq9ejZdeemkkx2fhnHPOgc/nwxNPPOG6zjPPPIOzzz4bu3btci2DJ2WHcINNYdmbaTpJ5V5VQcIhqY8FQ7wsvGX5AnSn/WZXYQAWhSgJIG10T+efsycNrrtqAeprs/tZsW7rPlVB3GVMshh0NHEr5bJSYnxyMByFnGeCsn2aqtonwa8qiFjOM24ay0h+jqesdg8Mdt7Zu6wPdRqLL3hw2xa7GRntjug79umKU9ADaDkSlKEqmFXmyk5ewc7rr79u/r1jxw58+9vfxjXXXINTTz0VAPDSSy/hvvvuw+rVq/H5z39+BIafzZ49e9DS0oLHHnsMS5cudV0vFouhuroaGzZswDnnnJPXtilnh2Cwkz8aT6GlxuvaO6fBA8RFCa+9H8ZJsyc7JvXZyzg1zdoMlF2Y2ePn3t6Ho6bXm1VVbkmDbv2s/Ok0EqKEbR90Y/7MBtdEw1I3CSOIvZGYqWry32PAeiMQ0mQAfvM8/ebH56KlxmsGKV29Cct5fML0Glxy6mxLmwg79vMuVx+ufBKL2RSWW08vVi4/FsnLeyMx7IsmML02gD9v68Sn58/Ium6w5eMiQVkURQiCgMFWFQTBUjk1ktxxxx148MEHsXfvXng87rNvL774Is444wxs27YNJ5xwQl7bpmCHYGzu0C809js3/m6L+ejEFQVeUcStj2/Puhv67rJWpFQFR03JfJ/MZntGboDu0+PN5AoYd5uZqqrCykHLvYSUIBiscsn+Pf7tVaeawYy9UhFiEN2mIptpr8Kfx/q62coNT0JV4BUkbNsTxrT6GkfH8kKUHaYWd7m4nx9RF7A4ro9mWXo4HEUkDUxyKfUvh+vGiAY7Tj43bsyaNSvvdfNFVVU0Nzfj4osvxurVq83lu3fvxqOPPorzzjsPkyZNwuuvv47rr78eM2bMyPLeyQUFOwSDKTv83aP9LoxNRyVECT96aieuOKMFHkk074bSioqHXujADZ842nKB4isykmIQfcaFmZkP2i/IhZaDlnsJKUEwOntk9PXFUB0KDqLscP3jALMzOh/E8OcxMw10Una60zBL23/27Lv48plzkFa0YSk7eyIxKKqCGjgrO4N1YB8NZYdRrteNijEVBIC//vWvOOecc7Bz504cddRR5vK9e/fiC1/4ArZv345YLIampia0t7fjlltuIZ8doiDCPTIS/Lw69CTH/++lPfiC4U2T1Q0ZhZdrspLakKYHPCx5kvXnCRnlsIkhbH9vJFbWJaQEwbMnEsvKMWM2CnZHcVZFbj7HbcdM2ufsH9i5xttAmMoLMufQ6vZWi+pi745eV+VFyCc5BgKdPTL86ZhljHYFx6kD+6gqO1ywU67XjaIGO11dXXjhhRdw8OBBqKpqee6b3/xm4aMdYyjYGd/wDfrWLp2HKIBaAH0AxCxlRzct48vFCy3nZoFVQFWgihJEo3wVgqRfES0dl/PfPl/eSiXmRCVgbxTaEPAAaT3z2KLscFhKzhmG8mOWk3M2DwAshQP8ec2UH5YfFBOCziajDkn+bCoubitx5xWcl5YvguSwnN92MZUdN5uNcrpuFC3Yefjhh/GVr3wFPp8PkyZNgiBknJkEQUBHR8fQRz1GULAzfrG7tdqx320xZcdp/n2o0m8m+MkeQyHbZ5J0ucrRBJEPg52z7NxkSgpDAPCh7bzt6tW1nVznNX/u5FJfWMUUC9DYctbKhVFKys54msYq2Gfn1ltvxW233YaVK1dCFMVhDZIgxpq+RNq4k7N2PJYBBAGLz0dLDUzVpbbKa+QCBHGLSzl30KHSw4nJ9UHjLlDfFuulBaCg7WfuQoc/JoIoVWYY5wsE52oqdm7aTTr552JCED5VQa2RBxTIcV5vWb4osy9Bd1iGEaRE4ykIAARfEP50GuFIzAywAqqCuBBEbZViHSe3jYDKjc/JA4utX6Tzlj9OlX7dKFjZmTRpEv75z3+6etiUI6TsjF82d0TQUhcwp7FWt7dm5tYBbnpLNy6zz/OP1N0Q3yQQgKMl/qAJypFYwa8hiHLEzH3jWj4kbOvw6k2LoaywdQ5FZUys5frWwf28bvBJmX0ZrVqcppvWtLea14sXd0Xw4oo2+FQVCU4UCMC6jR+1t+J9Y3z8a/nt3r2sFSGhODkz7LqTFIOO/faK7fMzEhRtGuvb3/42Jk6ciBtvvHHYgywVKNgZv+zYF7XJ1Jk7nYQoYffBw5gzZQIAQFVliFwFx2EAXpdyzbvb9dLzuXnOc/Oltl86bQbmTqun0nOCcMF+cwBkt2VhOT2s/BzIzsFhlVBOjUPZObRxRRt8qowBY1+saMGerNxYF0BnpA8zJtWgf0BB0CdBBCCpCnrTmU7r+jgyYx/MwLTYped8PpLbdaOUTUeLFuwoioJPf/rTiMfjaG1thdfrtTz/ox/9aGgjHkMo2Bm/8AECU3a6e2VMrgvCbytZtbuuCgB+ypWosrshjyTgv57fjWvOPirvuyG+cqN/gHdRzl+lYYHbjq5DOLZxYtZr2HJSdohyh/XOOqQomCjqycV8Th3vqgxkAiGnYEN/bHVL5g1Becdlv0cvWrAnKzsZA66/Vi9mqPZJZi6Q3aQwUwrv3MV9NErPnSrNWEJ4tUulWSlRtGDn7rvvxm233Yajjz4aU6dOzUpQfuaZZ4Y+6jGCgp3xi92bhl10BpIyqgJBa8mqkWw4pcaLaiDrDpAx1LshvtSWmacVotJs7ogU/BqCKEdYYm1a1eARBXT1JlBrNApNA/AY5yZTbzr6UqYzOZAx0GP5cbyyYz9/WC8tlmjMrhWH+2RMqAlaAqWfPvsuruRufjQALTVeMy8nMw7+upLtqcWUHd4tvRjNQd3MG8vpelG0YKe+vh5r1qyxNOMsdyjYGb84KTtZU1qAxeE4I4lnt4SoCRh9bkQBk4dwQWKVHMDQlR3K2SEqHb5kWgYgc1NVAoB/dhzEopYpSBiP+zhlRwAQT8oI+LOVHXufrb54Cs01XsQFCbFURpUJaYpl+iekKea0tpOyw+C7rgMwp8vdDEwLKXUfCryyU67Xi6IFO9OmTcPGjRsxd+7cYQ+yVKBgZ/zCknoHUjJ83qDFUGwVl6wMIJPIB5hJhsWa4x6KQWBnJGaaFJajORhB5AtfMg0Y01bsge3c3LJ8AZJi0Cw64J9fs3SOxWzQ6bzeuKINIjRoEGwGg9b/AesNkAhAZds1tp0U9OuJkFnkWIzA2kiEe2U01GXn8XT3yphcP/ykYZboXc7Xi6IFO6tWrcK+ffvwk5/8ZNiDLBUo2Bm/sDtEfg6dNxRLAlDAytD1xGWwv43KrCxVZwSk36EYBIbDUf2imeM1CVVBU4nL0gQxGHxPpywczs3maq/r83UewAuY507O18Ku7GS3rWCVVmuXzkMcQBW3T94w1G5+yCs7j1x2IuY11BQ1j2dPJKaXlJepmSCjaMFOe3s7nnnmGUyaNAnHHXdcVoLyY489NrQRjyEU7IxPmDkZgKy7MyezMrvKU0zpt7NHBlQNu4xqMPt+dh88jCOn1Vvu7NhrnnqrC4vnNWa95m9vdeETxx9RsiWkBJEvfLduO27nptvz0znDv7+5nDtO23dSdvjn7a9hig+DJS07jYufKufVHtYEtX+YOTx8QcR4mcYq2FRwwoQJuOCCC4Y1OIIoBfyG7TyAjNEXZyh286fmZdvOGxTbgGtGfRDhSAyzJ0/ASpf92C9w7DVnHduY92sIohwJqApqAl5Hsz2nc5O1eXF6nn/O6dxZf+0i63WANxjk/rebA/JjsxuGdqd1A0NLubxgzSGyL2upQSbXx0ADoKkawpFYQdNN/nQaMIwVc13LimVmOBaURSPQYkPKzvjENOEDzIl0fu6cNyNLItNkEMit7IykARdrJWGZKhvkTm4oryGIciIciaFf1VAtCq5mgvy5KQCY5JOQAJAckOH3WZUdpyad7LXReAotdQFzfwy7qWGHzRxwdXtr1pgA/XrTYag69uajbMpq44q2rGVbVrTlNh6U8i+KYLk6kgBs+6Ab82c2ZF3L2PJKUXYo2AEFO+MVVonFqjD0i13GlO/mT80z5eSM8Zcy4iXnBEEUxt5IDHJaQdAjOZoJ2s/NDdctQsgrwcl086JTGnHZ6XPMSiv7a9dfuwjVPsncH8PJ1DDLoNQ2pjWGrw4bczdnNmiv7rRvy608fViO7fBDyVF6LpZBjl/Rgp3m5maLt44dagRKlAsZj53MRYm/oAAw5Wl+vjxnyTlKv3qBIMqdjM2CYnrXAHAsHc+ortkBA6/e5G7sq2RdKywFC8h49fA2FvYxAVYDQwZ/ExXSdE8f5pnFl7ePVMIy89eRBPc8Jba8UpSdgnN2rrvuOsvjVCqF1157DRs2bMCKFSsKHihBjBXs4sRfePgmgGuWzkFCDCIa1w3LMhcz9zluVNAcN0GUKtF4ylREaqv4HBfJ8fx8fvminOfv+msXuT63hXstf60QAGiC9dqRECWEVNnw68oeE7um2HNhmLocMoKi2qrMtpJi0FweUmWsbW81b7RYkrJHQFY+Ty7YtqH5c+b4Uc6OA/fddx9efvllPPTQQyOxuVGFlJ3xCVN2+gcUBD16ebn9zo/B390dPCxjyoTsuz+2vNTvhAii3OGVHevNirPqOpiy41T9xD/HT2Ozqaduo76BTaG5KTtO7ScclR1kytpNFYmpR9z/bo1Iv7esFbMa8rv28MpOf0xGdcjhPRvLS/16Nuo5Ox0dHTjxxBMRjUYHX7nEoGBnfMKM+zq4ElC7kd9vrzoVR9QFzOTkQo3+CIIYedi5axYYGLidm2sMNcTt/N2yos3VKPSBi1sxsSaElroAEsiUjHf16qnR/LWDL3Bg47Lvb+OKNvigmw4y7IUPbFssl5D//x+7DuC0I6dm5e28tOsATjtqWl6FCCxnB2Kw7K9nox7s3Hvvvbj//vvx/vvvj8TmRhUKdsYnzLiPv1NjVu7MZAtAdvl5mZtwEUS5Yz93U9BbNVgMAW05N07nN1vHbOHgYhTaxyVB25UdRqaEPGNKyj/m209YsJuVau5TR+x9su1ZkpQ1IKUpaBzk+hOOxPTpdk4tKufrWdFydj7ykY9YEpQ1TcP+/fsRDodx//33D220BDHKhHtkQNRLUat9+rJoPIFq1qTP8LeoNspVgUzJaEtN0uJ/YaLKeK9fxOTJo/EOCGL8kvR4AFVDNJ5AoMYPjyjgxV0H0Hbk1MxKXB1NUpQcz2+GOb0lZE/n+FUZmi/TUoJdL9j/TOGp5krIQ3ylln1/YuaawpKXzTY0gB58wKpYscdeY/s3r3NJUhZz5+0c6JEhGu9XAqAIkuPxYON2MlctVwoOdpYtW2Z5LIoiJk+ejLa2NhxzzDEjNS6CKCoJwznZoyrwgCU6erOSFLcsX2TeAbF1PvrDja7bZc3/CIIoHsxAs7bKiwFVRTWAj86ZiutzGH06nd+MLcsX5WUUyicqM+WmtkpXaswEZc1aem7frt5F3Zq8HB9QoPmyk50Z/QMKYDwf0vQEaMfyc6eghWPAuO71DygI+iQEBym4GAmD1FKBfHZA01jjESaDswuK5eJizGW7eV3YKxcYZxw5CavaW0s+oY8gKgW+IehgRp/21jBu7RHclgMZ/xu+pQMPS1COp5xbPjglREMMGoqx1+a7kwk0Ovp06wsAwyo/D4ejjlYa1C6CICoUPshhj02vC5uyExOCCHF3c3cva3VN6KukUk2CKHXMiiXkbuEyqz7INf0durLTZZS8s//tsJLuA3HRfN6+3d9edWrWczd/SjcbzEy1WZWd2qrMNesPWz5wVHZ+t+UD/OtHZ7oeq3CPbO4jXyuNcansiKKY00wQAARBQDqdzrlOKULKzvjDTdnJ5WLq9Lgc74QIolJgDS1hKC9ZycVcmxTW+Heoyo4AoM9F2eEd2CFI6C5A2bEbmPLKzgAAHzKP+wEIOZQdTVPQ7KDssPYQIU3fRz6l+OVyPRtxZWfdunWuz23atAk/+clPoKpqYaMkiDHCDHK4xwE4NQlcoCs7YHdz4iB3QuN+VpggRo0Z9UHsiWi4OY/GtyzPx1nZWQBZDLpuJwgAGqCxKiX2P4P11jOuK9Xc8445O7bn1rS3IiFKqPFlkpHZtvjHHgAPPr8ba5cdj4QgWIwFJQEIOBgLdvbIAGDmEtX4jD5/Lte8rPddIQwrZ2fnzp248cYb8cQTT+DSSy/FXXfdhVmzZo3k+EYFUnbGHzv26cpOgweQgcxJ7VSWatyFdQ8oEEVgoiggIYoOd0IqDqkajp5K3yGCGE06e2T0JdJ5Nb5lDYCdSq2TouC4nXA46lwWbjP9iyjAJHu84VR6zoISs/lwZrtmibwDvQDqchgL3r2sFbNtxoKZ6TvdsJAfdxqAJ0fpeVpVMH28lp4DQFdXF26//XY88sgjOOecc7B161Ycf/zxQx4sQYw20XgKgF4uKsJq6pVVlmosr/bpy29fvwMXntyEKbV+KBqQVlW8czCOP76yFyuXHDt6b4IgCADIy0iPMXlSyFQ7WHm6IObuGM6me+LGdBYjwMrG2XRUOpNrw3dS568p/HQ5v4zB8nacYOamAwnniqx4QkZnj2A5HmzbIcuUWebvTR0H8dGWKVn72uiyvFwpKNjp7e3F97//ffz0pz/FiSeeiKeffhqLFlGpLVF+8OWigH43VecZRNI11v32ucdSgjJBlDGFBEdApmfegKKgnot29OIF2fy/H35LWTm07ARgp2ToLcsXQIMfAmCWyDspPFEAtQAC/qB5g8ZT7w8CtrxZsyu8YC2HDxl/n9Q8hXpj8dx777245557MG3aNHz/+9/H0qVLiz22UYOmscYffMmqAOBDwwL+pV0HcKphxc5Lumx57q7KeolroRdSgiBKG5YIzZvs8dcClux7oC+JWTV+S9uI/T0xTKsPmdeL6S7d1Rs4A1NANytsMRQeM28HmZYXruXngrXFw+aOiL4dllcEa7+u8ZKgXFA1VlVVFRYvXgxJcndpfOyxxwof7RhDwc74g81js7nz7pR+9xMTJPc+Maw0He69ZGaV+IWBIIihsScSQ9CYkkppCrwO14K/XrcIVd5MQ9CQpmRdU55Zvgiiw3XGYjYImFVTQKZalFWBDaRk+LzBrGkstpwPUFjTVL5ijDUBZX/nuuZVSruIvIOdyy+/fNDScwDU9ZwoC5iys/vgYRw3ZUJWIz63uxy3rso1Pgl+lH7TPIIgho6u8KSRFCVsMtpT8NeC6bUZjxz+msFfU6bXBfCrl/bg0lNnZfXncuqGzoIeFti01HgLMhbUm37ay9plAH4kRAk7ug7h2MaJWdc8tnzcKTuVDAU7449wOAoFQMK4q1mzdN6gqk2wAu6CCIIYGfZEYlml6luWL+LM+iT4NRlJIWi5ZjA7Cydlh7WvAYA0gLQo6dNZNV509GUUHFWVIYrZyg5bzgco4XAUCWM7jYZhISk74xQKdsYfeyMxCABeeT+Mk2brnTtzqjaigEQehmSlfhdEEMTIYS95dzLr46eg2HoNPimrzB3ITFuxORS/Tdlh2x+qssP2EVBldKf9FWGSSu0iCMKFzh5ZN/XSgPmzJmPlujcwkFZw72dPdK3EmpzDkKwSDbgIghgcezFCuEdGAoOb9Tm9dnNHxPT0giFBMKNBPwDBmCpPiBL6+pxLzw/3yZBqrNtlhoTVPj3pucGnt8SJxjN/j4drGik7IGVnvGFJThYyFvOamkJNIOBqN8+MxdwMuFAGki9BEMWFv74Ucq3YsS+aKTU3rk3gS7+5ZYUoO6z5Z4OHMyw0Wlqwv8v5mpbv77c4imMqmDvuuAOCIFj+HXPMMebziUQC3/jGNzBp0iRUV1fjwgsvxIEDB8ZwxEQ5kBAlPRFQky1OqoKoS8kNniSm1wZw7PRay91XyusFNNl5o6qsP08QxLiGv744ospZiciAPr2UECUkRQmvH+hBgttWktteQpQQ0nRlZ/21i/Dbq07F+msXYVV7q9ESwrptvflnylB3MmPj/y5knOVKyU9jHXfccfjb3/5mPvZ4MkO+/vrr8X//93/4/e9/j7q6Olx99dW44IIL8OKLL47FUIkygZlsFdrtt3FCFfZEVNf+ObMmVI3K+AmCKF0GVAUh5L6++B2uL3wH9zlT67HS6IbO1Bezj9bSeVku7yaccSC/XWZUqK8jWUwFqet5CXDHHXfg8ccfx9atW7Oe6+3txeTJk/Hoo4/is5/9LADg7bffxrHHHotNmzbh1FNPzXs/NI01vtjcETGqEoaWmNd1OI7eeMqc6qqr8qKRAh2CIJDpvfWqUfxgv76w5fbri1MH90wFFWcCiPxNBcM9MhK25sT8tirBJLViEpTfffddNDY2IhAI4LTTTsOqVaswc+ZMvPLKK0ilUli8eLG57jHHHIOZM2cOGuwkk0kkk0nzcTQaLep7IEoLdpcz1DuaxglVFNwQBOEIa+zJih/ybcPg1MF9/bWLsq5VG1e0QdCcE5RVVUaC78OlatZ9ZSlEuROUZ5V4oFMIJa3srF+/Hv39/Tj66KOxb98+3Hnnnfjwww+xfft2PPHEE7jiiissQQsALFiwAGeddRbuuece1+3ecccduPPOO7OWk7IzPmCGguVeckkQROnBfG2Gen3hy9mn1+rtIvhtMaf3fBKU2VgYTiaq5W6SWhHKzpIlS8y/TzjhBCxcuBCzZs3C7373O1RVDf3OeuXKlbjhhhvMx9FoFE1NTcMaK1E+BMbZXDVBEKNHxlRwaNeXrHJ2m+XFxhVtCKnOyg4Lit45GEVAkiAYY2HMnjwB1xvbcWpIyo8RFXYNLOlgx86ECRNw1FFHYdeuXfjEJz6BgYEBHD58GBMmTDDXOXDgAKZNm5ZzO36/H36/v8ijJUoVdqcTUmWsMi4YTndeBEEQhdI/oAA+acSuL5MnhYCezLZYIHXzOquyw5yZ1z61E9cuPgor172BtUvnWZQdfkwJceTGWA6UVbDT39+P3bt344tf/CJOPvlkeL1ePP3007jwwgsBADt37sQHH3yA0047bYxHSpQyAeP/8WKmRRDE6BGNp0bcrG8yp/bsjcTwj3f2Zyk7CVHCO12HsPwTRyNgKD8soZnBj2nLirbcYxQH74VZTpR0zs63vvUtnH/++Zg1axa6urpw++23Y+vWrXjrrbcwefJkfO1rX8OTTz6Jhx9+GLW1tbjmmmsAAP/4xz8K2g9VY40vhmr6RRAEMRimOWCRri8fhqPwcdtmwQ7bJzTF2ZQQ1jE1eFKAEHAdYznk6wAVkrPT2dmJiy++GJFIBJMnT8YZZ5yBl156CZMn672M1qxZA1EUceGFFyKZTOKcc87B/fffP8ajJkqdhCiZJZeOfhVGySVBEESh1AQ8SKia3pTT4foiqzKkYVxffKKkl57bp7FWtOltJkRJ/9/4O8G9NsBd897rA5prMt4+rCGXIAoWJalSKGllZ7QgZWd8wdo+5OpwPqtM7moIgig9wpEYYlpxri96Y89MdRafoCxAj3HYBJQGQFIVMG/3cu9w7gR1PS8ACnbGF+xiUe4llwRBlC7M0M+t196QtxuOOpaeb1m+yLIe3+WcUYl2GxUxjUUQxWCwstBKK7kkCGL0KdZUEKuiWs3MCY2pqoRtvWhcX8Ln8oxnuw0Kdohxx3gruSQIonJgN2shVYYmBCFrQEiTAVjtVGqr9MmrhChh98HDmDNlwri+7lGwQ4wrOntkvbcMlZ0TBFGGsJu1pBGcsL/t+SjVPv3/AHQzwUGvexVWam6HcnZAOTvjiWKXhRIEQRQTVmABLdPFHJqC7rQxZeUEK0XXUPal5nYoZ4cgHIjGU6hmXYRdys4rXc4lCKJ8MR2RjZJxAYAmSIjGE6iuC2Stb3Y2F4IIaOOn1NwOBTvEuKK2youUqkDJIecqFZ6oRxBE+cKagdqprfI6dlMfrLP5cKvDygUKdohxBSvD/NVLexwT9X710h5ceuqsMR4lQRCEM9F4Cg02BScJPUcniUyaMt/ZPCQGM9c7m83GeIGCHWJc0Nkjw59OQwFQBeCihbOw0uVOx0fKDkEQJUptlTerzJypPd1pQDNu6JjKQzYbOhTsEBXPnkgMh6My6mqCkARgAMD2D7odlZ1tH3Rj/syGsR4yQRCEI3qpuAIVgGgs6zJyEaPxBKo8QDwNwAh6xnO5OQ8FO0RF09kjI6jKkGqDei8sTRduj29qcFV2HOe9CYIgSoCAqmSSlA1qq/TltVVeSKKerMzyesazkSAPBTtEReNPpwEhCL9hxCUZFQh0t0MQRDmS9HgQSKetC326i3K1T5/Sqq3ymg2Pc13rxlPDYwp2iIqGL9MMceXm49lciyCI8mVGfRB7IzHLMj5duSueQmNdQF+m5b7WzRonlVgAmQoCIFPBSiYcjmYeMCMuw2DLbAJaIeZaBEGMDyzXNYMUgDiAAd5c0H6t4yuxKsQ8lUwFiZKhs0dGXyKNaDyFuiovqkeg82++8HPbzHwry1BQsPxHEARR0thzdgD9+uUD4PNZy84TQnaXc/84nK6nYIcoKuFIDH5kyiF74ykAQGckhhkjoKAMFkglVAUiAD7ep1JMgiDKGlVBv709BN9CwoCSkzNQsEMUjXCPrM8ZA7j58TfwotOc8TACnj2RGG5al3u7AdsdUAKUnEwQRJkjZtpDBKBf1+zXL0pOtkLBDlE0EqoGQdBPuNXGCReNp1DLnXCdPcKQprQ6e2Qc6nXebnevDEnUt9s/YNy9cEZbdLdDEEQ5wyqu+gcUwPDdiQlBhPjr1yBtIsZTcjJAwQ5RRHgHz5sdFJi7l7UiZC+hzBN/Oo362iBudNmu39hu1Jg2Y+6i8Emk7BAEUdZEjYqrrl7dTych6te1hBhkzc2pTYQNCnaIosGS6HIpO0MNLtjJPdh2a6u85vrMaIuUHYIgypnaKi8SasZPx6LsGLk7lJtohYIdomjkpewM8aRjJ/dg263mpq/YhYGUHYIgypmagAeaqgG+jKMyU3bYdYyuc1Yo2CGKRrGVnSe3dTpu98/bOvHp+TMAZMy2EqKEap/+mAwFCYIoZ2bUBxE2jAUTomRe10KqrP8Pus7ZoWCHKBrFVHZUVcF5J8xwzdlR2XaN/02HUUFCCHC+4wEweZwl7REEUaYY17b+NBDwACFBMhQdha5zDlCwQxQNpuw881YX1ra3mi6ezBNHEqDPLxdIZ48MUZRw8LCzYnTwsIwpE4Lo7JGh2UrPA6oMiGQoSBBEecOur2YJumGW2p0G+uIJNNd4M9dXdp0ThXEZ6AAU7BBFpH9AQbUHOP/YRr08gIsotKw/8odVWs2sCyIBvdKqui6A/gEFXb0J1AX9EIz1DgOYwL2WkvYIgqgEAqqCGPRk5cEsNRo8qIjWEMOBgh2iaETjKVTX6RNIMQ2uU1nokQu72zDuaGIazDlqp22vam/NGG6BDAUJgqgckh4PPKqGah9d2/KBgh2iaPCmVyFNdpzK8ggA1Iy8M1j7h84e2RSDQlqm6sBpOqt/QDHt1PnyTCo7Jwii3DGTlDUMWmpO1zYKdogiUu2TTNMrCEFd3XFqG7GsFUB+7R/8nAkh85VwU3au+fhcU1niyzPp7ocgiEpg8qQQwj0ykmrua9t4aw3hhKBp2hCyJiqLfFvElzqj2V08n32Fw1F0p3mvGz2gcCpBT3pC+OXGDlx+ejNi3PMhn4RHXnwPVyxqwYz6IPYa5Zb89kRVhk8MZqlGGuCg7Ei45XH3u5/xPq9NEER5sicSw81urSFGoOlyqZLv7zcFO6iMYCcfVWS098UCEzadFBMkR2Xn7mWtUDQF0iDPz5lcawZQulpkdPkVJMdmoxtXtJl/9w8oFgXHTdlpquCLAkEQlQ27CTVbQxTxhrdUoGCnAMo92OnskeFPx3KqJiP1hS9kX8z0qqM3gUajNFJ3+NSnlPQgKAWIAUvXXjfzwaZJIeyNxNBlbI8hAPA7vLbBJ5lVYB29CbTUBRDT4K7sQJeFCYIgiPIg399vytmpAPzpNCAEdeM8H/NeSEEAIPiCljyXkdqXI4J1XylVgReZ0khzjIb3g67OBAANCGhKzu0yg0LW9oF1M2fTVI6vZX1ijDFAVRASJFejLSo9JwiCqEwo2KkERAmKBiTcEoDbW0dkN+EeGRClnGXkIaMsPNwjQxElKACqffo6MQ26jTn019/T3go/W57HdsORGGC0fejqTQAAauoC5jb4125ZvgAJMQi/KiMpBFHjk0z1yDkwogRlgiCISoWmsVD+01h7IzHXqZyRnMpiOTjMhdieEFztk+CHPhW0NxIz1Bw9r0ZPELY2qrPn0cDYrn38bLkAfVYqoCro5sQqey5ONJ4yps0yCclrls4B4KcEZYIgiAqiIqaxVq1ahcceewxvv/02qqqq8LGPfQz33HMPjj76aHOdtrY2/P3vf7e87itf+Qp+/vOfj/Zwx4y8elCNwFQW208+ZeQsL4fP07GXin/z43PNsvR8u5gnkWnqCcAsbbe/dsvyRUiIEgYSejlmtxFYUek5QRDE+KOklZ1zzz0XF110ET760Y8inU7jpptuwvbt2/HWW28hFNITSdva2nDUUUfhrrvuMl8XDAYLUmgqQdkBgGi/jNrqbGWELR9upZFT2bebiqSpGqAqUAQJIZuyo6gyQmLQDEAyik3uBOXMvjO5Nay0fTBl54VdEWxZvoiUHYIgiAqiIpSdDRs2WB4//PDDmDJlCl555RWceeaZ5vJgMIhp06blvd1kMolkMmk+jkajwx/sGMJKu5VQ0LULeGAEkm/5pOB8VKSEKOHZt7qweF6jRdmBEAQ0FqRkxuW2zTW28Se45p7VPjiqQuuvXaQ7N3NKzmCmgmS8RRAEUZmUtLJjZ9euXZg7dy7eeOMNHH/88QB0ZefNN9+EpmmYNm0azj//fNx6660IBt2nJO644w7ceeedWcvLVdnZ3BFBY10AXYf60TixOksZYcuHq+xs7tADCb6MPJcKE4CeOFwlAAOA5TkBgB96TxeG2zaZ8mOuZxtXAsBTb3XhE/MazdcCyCo1f2H5AqSFoKuyU8nGWwRBEJVIxfnsqKqKz3zmMzh8+DBeeOEFc/kvfvELzJo1C42NjXj99dfxne98BwsWLMBjjz3mui0nZaepqalsg50d+6KDmvaFtOFP0ezYpytg+eyrOw3UewCJGf9Bf008lelXBcBMNM61zTVL5+UcVwKAYnvt+msXmcaDCQGmktNc4zU9fsaT8RZBEEQlUnHBzte+9jWsX78eL7zwAmbMmOG63jPPPIOzzz4bu3btwpw5c/LadqXk7Ow+eBhzpkzIUkbY8tHK2UmIQdP479X3wzhp9mTzNR19osUQkJWQ51KL8iEmywgFrTk79nGSYzJBEERlURE5O4yrr74af/7zn/H888/nDHQAYOHChQBQULBT7rB8luMmT7BMCzGOmzxhRAzzLHk/OUwMmfFfQFUwf9ZkSxVXbZVi6UZeW+XNbNvB/8bV7I9TjAAgUBU033tLDdCnKqgBqBMwQRAEUdrBjqZpuOaaa7Bu3To899xzaG5uHvQ1W7duBQBMnz69yKMrHRKiZObHDGb2N9z9AEYAosG9/Ly9FdU+fXopxErPjefNTuh1eosIVkIOl/FvWdGGpKj79wCZHB+n3CD22hdWtMGLzP4pIZkgCGJ8U9LTWF//+tfx6KOP4k9/+pPFW6eurg5VVVXYvXs3Hn30UZx33nmYNGkSXn/9dVx//fWYMWNGlvdOLsp9Guv9cBSSKKE/JqM65D61ZDEAHEKeSjgcRS8Av6gnDe+N9GHGpJqs/XVG+nCkse0YV3oOZAwB7ZVYrDQdRgDDDAurfZL5P2BtKhoylB2+rN3SRsJoEEoJyQRBEJVJReTsCILguPyhhx7C5Zdfjr179+ILX/gCtm/fjlgshqamJrS3t+OWW24Zdz47zFPGrrRsWb5AL8t2UWAK+cHPOChnEo7dkpQl46PjTQVZkMO2wZeQm27LgKWD+Zbli9DRpwdSfg8Q7tPzcT7ojmJmQ635Wn4sv73qVDMHiHd6NhOSOadngiAIonypiGBntCj3YCccjmapG7mUnaG0kdC7nachAxCNIMXNxDCgytDghwCmwGSSlltq9BwdfbzZ3jkCgFeMpGZe2WFJx4UoO2QgSBAEUdlUVIIykRsWODiZ8umuwcNvI9GXSEPzSRCRUXacTAyZksSUnRCn7NRWeS3TWVnKDgAFwPxZk83tblm+yEyCDqgKYDT0VFIyEt6guZx/jxtXtA2ar0OtIQiCIMYPpOygvJWdzh4ZflUzO3oXquzkW369uSOCFqOcm08StjcEPaIuAD/LvdFg5sysam81jQTZNnhzQDdzwWqfnnydhNFSwlgnpgFxWUZDSN//99fvwGdPbsKUWj+mBbzmOq7KjihgMnnrEARBlDU0jVUA5RzshMOZVhfOOTuLRsRskBkXWkq+jQRgtu1ff+lkPTGZrSNIgGAENmrmNdAU9GiAJABOe+bHu2X5InN5dxoZQ0LDLDCgKjikAtAE3PXnNzOv4fadpeyA8nUIgiAqAQp2CqCUg53OHhl9ibRrFVU+Rn/vh3sxe3Kdke+SQkIMFFyZlUlOtrV8sKkwbLkGwKfKGLA9x16vGevx65vvmavy4k0FmVGhfRxpVUM14lY1iJKTCYIgKh7K2SkxBgtanAhHYpYgQAOgqRrCkZj5Y203+mO01AAQJUBVcExDnb6uTwI0q9+O0zadyFRgBRHnTAH5ffJmgWxdZujHFBqzGSiPzSDwiIk1+LA3jpDfg/4BWAwI+XHcsu4NrFk6B4DfMg6Ww+NmJjgSBosEQRBE+UDKDoqv7OyJxHCTQ4JwrtLvcCTmatp397JWhCQ95yQciZn5L2z9tUvn6EEFk06M3JmQ4G4EyG/Tib2RmKnkdPSJZv4Ov73fXnWqnrMDZOUQNfgkxAFUcSaDCeiqjk+VIRgqzQCAuKLi9v/3JtYunWNpL8EUILui1OCTLOPYuKKN2kQQBEGMA2gaqwCKGex09sj43v+9ZSbP9icU1AQ8mOobcDX66+yRoalaXonFzGOHL78G3Keb1m//EEuOPyJrmxu2f4hzjz/CNQgIh6Nmjk48lT0txUq+gYxhIF/6vXFFG+KKAq8oolqLmxVabJuseksFEOTGbqpFhgcPywXizQLtwQ2VnRMEQYwPKNgpgGIGOzsPRC3Js8DgRn/BPEz7WGJxxmMnY6y3duk8iw8N25aoKVBzbFPUFMx0CQL0oMqaB2PvVL5xRZvppWP3vmnw6CXyP3pqJ644owXT/aLVNdkwHeS3ecun5lmCKohBJAGz2ivXOEjZIQiCqHwo2CmAYgY774X7LcmzzBzPqWy7zvhBZh8I7z6cECXLeiGflLeyY92Wu1oEMYikKDjmFoXDUVMtWcNNL/EtKuo9QE/aXdnhl61qb816zBKQf/jUTnzpjBbEBxS01HihAEhw+44JQYtqs3FFm2UcpOwQBEGMDyjYKYBiBjssSODVFFYazZdtM844chJu/tQ8ziVYdlSBtixfAFkMQjarj/TA4ZkdXTj/mKmmssOrJSHNuaXEGUdOwpplrZAB3OSiNulmgs4uxbyiAgCCqkBzUXbsAZxHlZHm2klIEuAVRdzy+HaLsvMq56rMV5T1xVNorvGSskMQBDEOoWCnAIoZ7LDpH7uyw/JonNSdXk79GUyNYcnCfEIwuL+ZWnK4T8aEmiC6DvWjcWJ11rbYa9zUJj+sJn0ssLEnIQOwJExblB1u2ar21qzHgJ6AXMW/D+M45jIItAdiLGHZVdkBlZ4TBEFUAhTsFECxlR1mgNc/oKA/kcLsat3hlyXdsudY8AHAauDHvZ6tw57vTikWoz3e8A+cspNrW2YHcpsRn7kvn17Czr+21gP4jP0wc78suPWdzAD1CjHndSDAWiLOrWc3CIRt7AHbWJ3Wp2ksgiCI8od8dkoF0SiLZr2eVpwBQLKWi9vK0plqEtOAkO31jBdWtMEPPT/GbL2g6ftjjxOChGofNxbBeVtbli/Qk4ThXJr+woo2c1qK+dmoRl8rtr217a2ZNhLQgw6JW98cl7EsIUqQAPz61b1oP6kJ0XgK1XUB85iEAMRFyTQe1FQZgpBdFh9XZVSx1hTG2Fe3tyI5IMPvy16/12U5QRAEUbmQsoPiT2Oxvk0nNPiREHXlhnf6ZdMvIU8KghjISjh2msYCYFFkEkJmn3y3cJYrw3CbEsv1PJDdRXzL8kVIiJKZTFzPGf7x1WFuCcp8XhL/mH/fcUVBvfG+ciUci9zYWWUXJSgTBEFUPjSNVQCjUXo+UUoAQhD9moJqAB19KbRwibVnzZ2IxccdYSoT5rSSS1Lxb6861VLi3Z32o8Gj94+KxvVtd/TpuT/8FJHTttZfuyjn87+96lRLDhELpphvjj2Z2B6sOSUos1yi7KoxxUymZkGa3UTQnnDM3js/LUgJygRBEJUPBTsFUKxgp7NHRiqtohpxJI0fdHaw7coOn7AMVXFVY/hKJL4K60BUDx66ehOmWqOXgyexh3MhdlJuWNI0ADz1Vhc+Ma/RQdnREBM8FmUnLkroZYnPvQnMqvFCwtCUnS98tBEnN07IqtgCkGUiyGBKzX6uZ5b+HknZIQiCGA9QsFMAxQp2HDuFG/ABQUiTofd3siYs29UW1gaCV3+clB0WBCVECSvXZQILfltOyk4CgJJVJr8ACTGIlKqhJqvZZkZ1clJ2/KqMpIuyw+CDrxqfBL9N2XGqWrM09RQFdCfSADI9tOyqEik7BEEQlQkFOwVQrGBnc0fELDO3H2SWxPvEtk6cP3+GuVwA4AfQYevwzX7sTdUD1hJvj8D1jbI9J3H5PFs6DmJRyxRLxZVVFclWkQLQe1Z9cDiOnz27S0+0NoKgHV2HcGzjRHO/QH6l52uWzgHEoGWdxcc04Pbzj0c8IaMqEDSTrnOpOrMmhdDZI+PDnnjmeCF3qTqVnhMEQVQGFOwUQDGCnT2RGGRD0TDLv2H9WwagCRLiXPm4CkC0rcemcXhTwLVL52V2ZihHaWTK67JKzgH9eQczwy3LF2W1ajCbiXKKVFyQ8OLubkypDSCZVvHRaaHs8djK35lKBWTGk1GuUoAYyCg2hkFgVgk9Vw5vUXW46SimovHvm0rPCYIgKhsqPR9DOntkBFUZok9XY6LxBKoN1YH/m5nhHYiL5jJGtQ9mKTcAhAzFJaTKWM2VeQNWM8G0sYztxz5tpBjbYqXisZQ+XcTW3/Z+2Nx+rF+GVJ15bZUq44wjG8wAIiFKSMjW8diNDVnpuVlazi17rw9orlEAlp8kcJVjxpQeKzm3By2q7X2xEnz+fcOhVB221xEEQRCVDwU7RcCfTgNCJsG21ijL7k7rf1sN9IKorVLMZXYVCGBKBesSHswY6RnEBD0Iykwk6fuRVAUxQU94jluUokw39EkeEVAV1FZ54VUVfGzWZNOYLxAKZu3nlnWZqaEtyxchUGUEDmbz0iBC3N9s/fXXLjJyfKzbADLTSw0eoNt2HHKtX8WNLa3qVW7sWOd6XVC15k8RBEEQlQ1NY2Hkp7E6IzFL3gz7n+XhmGXXyOTUdPUm0FIXMNcRAHzYq+slLXUB3WhP0Nf3Cvp0l7ltWx4Pz0u7DuDUI6da9gljvyEhjZjmMXN6TJPDx3WTwCQy+T9O5d/N3LiclB0YuUYsoZl/3i1x2H4c8k003huJWd5/rtclPSHMqCd1hyAIotyhaawxpG9AgcZVRLH/merA/k+IRiWW5kdtlRcJZJQJCJJZ9p0AENJkJIQgtu0Jo3VmA2qgchVduorBOonzfHTOVHOf/QMKYAQdbHupARmC148gYI6HTUv1c+8DgpSllmxc0WZuJ8CpOXGz83hm/S3LFwDwD6q42I9DvgoNf6ydxsq/bhYFOgRBEOMKUnYw8srO5o5IxplY1XNS2I8xDyvd1jQNHlGwrGPNfdHXC2gKEoKEWDKN2oDH0byPd0MWoOe8sFYQXb0JtNRwfbmMhGdT2VGtCdDM+JDtw17+3VztNftz8cpNh+HrY1dXptcFzOotu+JiVnWJAvzpdNZxyEfZ4b2LXEvVQZVYBEEQlQIpO2MIM+pj3jIirzpwJEQJIVXGIdWPaiBLmWC5LwlRgpqWkfLouTnhAQlTfEKWsnPNx+dm8nIAbjt6Pk9tldfiSqwJ+v6h+c397A33mspObRWy9sErJRtXtEEAzPcK6GpObZXi+JotyxfhqOkTsdJFcQmoCiZPqjU6xWfn/djXtys7XcY4cr0GKuXrEARBjDdI2cHIKztWlcE6lcVKywFrd2722K6isOXMaA+ChENpBUGv5KrsMF8ffjuZZfqPPV9qLhkePVWcyWF32o9qo7w76WLSxydSs/36VWs1ll3ZOXhYxpQJ2UrNwcMypk7Uc2l27IvmnePjpuyQoSBBEETlQ8rOGBIAAMPTJSFa/08BMCaSTIfgAPc4gIwysaa91VzOSs8FALVeCR6H9Ve3t+r1WIa7YFbOjBg0lR1Wou1RZfiFIBJaZj9JMYhoPIEGn5S1D7uyA+hl8qYBoBAECyWylZ0FmFQXdFV2WNJwNJ5CgxHs5FR2XI55vq8hCIIgxgek7GDklZ1wOJq1zGLyJyD3dIqh9tibgYY0l9fY1wd0Uz6bsV5zjdccR5bpoO1/i6khtw8nZYc9r/9vvDe7GSB7jU9CEnoSt5lLE/BYqqPMNhsu+3UyB7QcczIUJAiCGBeQsjNGdPbI0GyJyEC22Z09WZlvKcGvw6ZepBxmePb1IQaREKQsYz3WEb26LmCaFrLcHb4hqSZIWaaGTiZ99mal5tSbmL1vGFN1SQB+UcCM6e5fSmYQaPbFcjEHTHoy01FJjweaqhX0GoIgCGJ8QMHOCNOXSFsUD6aQ2Eup1/DtHqA34JQ0a1LumqXzMonKgtXgj2+pYF/f/vcLtqaf9kRptg2WEN0PoBp6Tyq3KSm2LT4xmZ8yyzWVNHmQ0m9Lt/M8S8hn1Ad1dYfKzgmCIAgbNI2FkZ3GYs0/GV1cQ0/AVlJuLGPGgPZmnwAQk2VMCgYz6wFZ6wz2t9N0jqmccNtLikFLM0847I/fVjSeQktdwPH5ZqNkvT/HdJUbeyMxc/yFlJDrVVxUdk4QBDFeoGmsMcI0BXR6zKkOa5bO47xkdMVH4v5m6yhVmaosZgrI1rGb960xmnfa/+YVji3Lz0BC9JjtKzTb9jRfZkxA7tLz9dcuMltLDNYGopA8mXzKzp1yngYbB5WdEwRBjE9I2cHIKjtMlQDMNBVrLo5oDV6YF0/A8MLh83QAYPfBwziuoQYAskz+mHmfosqQDFWlwZNCQgxk/c2rK8y0j5kMJkQJiaSMQwnRNB3kAzF7eTuvEhWj3JtXdgrZJlN2qOycIAhifDDulJ377rsPP/jBD7B//37Mnz8fP/3pT7FgwYJRH0fAnlfD0BRbXssidJmdwA1lR8hWdmZPnmD68NhN/njzPrdy7qCqoMmWDMxM+5jJYEBVoPiCqBUUS5AD5FZ2tixfgK64OKiRX6GNNws1FORfRw1ACYIgCDsVoez89re/xb/927/h5z//ORYuXIi1a9fi97//PXbu3IkpU6YM+vpiKTtMyQGy816YKuKk7PTHZFSHMnk3rJs5b06YV26OS9NLq2lftnLDxgRgUOWmWMqOU+PRwd4XKTsEQRDji3x/vysi2Fm4cCE++tGP4mc/+xkAQFVVNDU14ZprrsGNN9446OtHMtgJc8FOTANuedxQcla0ZT3mk4BZ9/MA9zqWd8N3JU9w64c0vcQ6hsx2GWb1kcOP++aOCFqMpGnL9oRMZ3aWPN1hdCHnx87vY1V7q2XMbkZ+hSQGhyMx3aCwwPe1PxJDIsc4/ACmUbBDEARRMYybYGdgYADBYBB/+MMfsGzZMnP5ZZddhsOHD+NPf/pT1muSySSSyaT5OBqNoqmpaWSCHaP82W7qxwz8LI9hNffrTjmtl0J3Ws+jsZsBmkaCopRdfZSj8omZ9skAZJu5YHca5r7s43M06uOSr92N/DRMnlxd+DHkTQn5qioXY8BwOIoBQUJaAGRuHEGfBC8ALxkKEgRBVBT5Bjui6zNlQnd3NxRFwdSpUy3Lp06div379zu+ZtWqVairqzP/NTU1jdh4EqIEaLL5v305/zghSojGU+Zz7O80t957fboRIHuOXx/Qg5H3ehPmdFJztYpqn5SzxLvaaAMh2raXECVU+zLL2OOEKOHwgOy4rYQo4UAybXlvFlQZvpCvkEOYGQ+44CngNXp1yVmGjOau/D74NDnrSy0C8KoyVH9h4yAIgiAqg4pJUC6ElStX4oYbbjAfM2VnJGBJsiHVnpC8ICtBGbCaDbp1C19/7SJz23ZzwqEk4jqVxvOmgvbyeQgSFJ9zEvSapfOgBvzY1RvHz559Ay9yzy+a24DvLz0Ok4OFBRlDfX9TawP4IKLgJofXfb+9FTNrA46vIwiCICqbcTmNZWckc3Y6e2T40zEkxGBOoz3WJRzIdCjP1S2cwdpKdPfKaKjLTsTt7pUxuT47edc+RqiZj10DACOZmh8T+3sgLaPGk23UV+2TIIgC/OkYkmIQA6qG+IACeUBBbZUHtV4NqujFEQW6FvPHMN/kZJ4D0QR6YgOIJtKoDXhQH/JhKgU6BEEQFce4KT33+Xw4+eST8fTTT5vBjqqqePrpp3H11VeP+nhm1AexJ6IhqMo51YmmSSEzERdg7RqMhGOHbuH2Xk/1tYN3D881Rn7f9v3bSUtBXJ+j/cKeiIabR7A9w4xhbnNqbYCCG4IgCMKk7JUdQC89v+yyy/Dggw9iwYIFWLt2LX73u9/h7bffzsrlcWKku54DTJ1ID9oyIcypLMyN2CnhuCFgxKWcIlNIUrITYZvCw+/fzmD76uyR0ZdID3ksThRjmwRBEETlMG6UHQD4/Oc/j3A4jNtuuw379+/HiSeeiA0bNuQV6BSLfH+UB2uKWUxGct/FCEIosCEIgiBGgopQdoZLMZQdgiAIgiCKy7gpPScIgiAIgsgFBTsEQRAEQVQ0FOwQBEEQBFHRULBDEARBEERFQ8EOQRAEQRAVDQU7BEEQBEFUNBTsEARBEARR0VCwQxAEQRBERUPBDkEQBEEQFU1FtIsYLsxEOhqNjvFICIIgCILIF/a7PVgzCAp2APT19QEAmpqaxngkBEEQBEEUSl9fH+rq6lyfp95YAFRVRVdXF2pqaiAIwohtNxqNoqmpCXv37qWeW0WEjvPoQcd6dKDjPDrQcR4dinmcNU1DX18fGhsbIYrumTmk7AAQRREzZswo2vZra2vpRBoF6DiPHnSsRwc6zqMDHefRoVjHOZeiw6AEZYIgCIIgKhoKdgiCIAiCqGgo2Ckifr8ft99+O/x+/1gPpaKh4zx60LEeHeg4jw50nEeHUjjOlKBMEARBEERFQ8oOQRAEQRAVDQU7BEEQBEFUNBTsEARBEARR0VCwQxAEQRBERUPBThG57777MHv2bAQCASxcuBD//Oc/x3pIZcMdd9wBQRAs/4455hjz+UQigW984xuYNGkSqqurceGFF+LAgQOWbXzwwQf41Kc+hWAwiClTpmDFihVIp9Oj/VZKjueffx7nn38+GhsbIQgCHn/8ccvzmqbhtttuw/Tp01FVVYXFixfj3Xfftaxz6NAhXHrppaitrcWECRPw7//+7+jv77es8/rrr2PRokUIBAJoamrCvffeW+y3VlIMdpwvv/zyrO/4ueeea1mHjnNuVq1ahY9+9KOoqanBlClTsGzZMuzcudOyzkhdK5577jmcdNJJ8Pv9OPLII/Hwww8X++2VFPkc67a2tqzv9Fe/+lXLOmN2rDWiKPzmN7/RfD6f9stf/lJ78803tSuvvFKbMGGCduDAgbEeWllw++23a8cdd5y2b98+8184HDaf/+pXv6o1NTVpTz/9tPbyyy9rp556qvaxj33MfD6dTmvHH3+8tnjxYu21117TnnzySa2hoUFbuXLlWLydkuLJJ5/Ubr75Zu2xxx7TAGjr1q2zPL969Wqtrq5Oe/zxx7Vt27Zpn/nMZ7Tm5mYtHo+b65x77rna/PnztZdeeknbuHGjduSRR2oXX3yx+Xxvb682depU7dJLL9W2b9+u/frXv9aqqqq0Bx98cLTe5pgz2HG+7LLLtHPPPdfyHT906JBlHTrOuTnnnHO0hx56SNu+fbu2detW7bzzztNmzpyp9ff3m+uMxLWio6NDCwaD2g033KC99dZb2k9/+lNNkiRtw4YNo/p+x5J8jvW//Mu/aFdeeaXlO93b22s+P5bHmoKdIrFgwQLtG9/4hvlYURStsbFRW7Vq1RiOqny4/fbbtfnz5zs+d/jwYc3r9Wq///3vzWU7duzQAGibNm3SNE3/oRFFUdu/f7+5zgMPPKDV1tZqyWSyqGMvJ+w/wqqqatOmTdN+8IMfmMsOHz6s+f1+7de//rWmaZr21ltvaQC0LVu2mOusX79eEwRB+/DDDzVN07T7779fq6+vtxzr73znO9rRRx9d5HdUmrgFO0uXLnV9DR3nwjl48KAGQPv73/+uadrIXSu+/e1va8cdd5xlX5///Oe1c845p9hvqWSxH2tN04Oda6+91vU1Y3msaRqrCAwMDOCVV17B4sWLzWWiKGLx4sXYtGnTGI6svHj33XfR2NiIlpYWXHrppfjggw8AAK+88gpSqZTl+B5zzDGYOXOmeXw3bdqE1tZWTJ061VznnHPOQTQaxZtvvjm6b6SMeO+997B//37Lsa2rq8PChQstx3bChAk45ZRTzHUWL14MURSxefNmc50zzzwTPp/PXOecc87Bzp070dPTM0rvpvR57rnnMGXKFBx99NH42te+hkgkYj5Hx7lwent7AQATJ04EMHLXik2bNlm2wdYZz9dz+7Fm/OpXv0JDQwOOP/54rFy5ErIsm8+N5bGmRqBFoLu7G4qiWD5QAJg6dSrefvvtMRpVebFw4UI8/PDDOProo7Fv3z7ceeedWLRoEbZv3479+/fD5/NhwoQJltdMnToV+/fvBwDs37/f8fiz5whn2LFxOnb8sZ0yZYrleY/Hg4kTJ1rWaW5uztoGe66+vr4o4y8nzj33XFxwwQVobm7G7t27cdNNN2HJkiXYtGkTJEmi41wgqqriuuuuw+mnn47jjz8eAEbsWuG2TjQaRTweR1VVVTHeUsnidKwB4JJLLsGsWbPQ2NiI119/Hd/5znewc+dOPPbYYwDG9lhTsEOUJEuWLDH/PuGEE7Bw4ULMmjULv/vd78bdhYWoTC666CLz79bWVpxwwgmYM2cOnnvuOZx99tljOLLy5Bvf+Aa2b9+OF154YayHUvG4HeurrrrK/Lu1tRXTp0/H2Wefjd27d2POnDmjPUwLNI1VBBoaGiBJUlbG/4EDBzBt2rQxGlV5M2HCBBx11FHYtWsXpk2bhoGBARw+fNiyDn98p02b5nj82XOEM+zY5PruTps2DQcPHrQ8n06ncejQITr+w6ClpQUNDQ3YtWsXADrOhXD11Vfjz3/+M5599lnMmDHDXD5S1wq3dWpra8fdzZfbsXZi4cKFAGD5To/VsaZgpwj4fD6cfPLJePrpp81lqqri6aefxmmnnTaGIytf+vv7sXv3bkyfPh0nn3wyvF6v5fju3LkTH3zwgXl8TzvtNLzxxhuWH4unnnoKtbW1mDdv3qiPv1xobm7GtGnTLMc2Go1i8+bNlmN7+PBhvPLKK+Y6zzzzDFRVNS9up512Gp5//nmkUilznaeeegpHH330uJpaKYTOzk5EIhFMnz4dAB3nfNA0DVdffTXWrVuHZ555JmtKb6SuFaeddpplG2yd8XQ9H+xYO7F161YAsHynx+xYDyu9mXDlN7/5jeb3+7WHH35Ye+utt7SrrrpKmzBhgiULnXBn+fLl2nPPPae999572osvvqgtXrxYa2ho0A4ePKhpml5OOnPmTO2ZZ57RXn75Ze20007TTjvtNPP1rMTxk5/8pLZ161Ztw4YN2uTJk6n0XNO0vr4+7bXXXtNee+01DYD2ox/9SHvttde0PXv2aJqml55PmDBB+9Of/qS9/vrr2tKlSx1Lzz/ykY9omzdv1l544QVt7ty5lpLow4cPa1OnTtW++MUvatu3b9d+85vfaMFgcNyURGta7uPc19enfetb39I2bdqkvffee9rf/vY37aSTTtLmzp2rJRIJcxt0nHPzta99Taurq9Oee+45S7mzLMvmOiNxrWDl0CtWrNB27Nih3XfffeOu9HywY71r1y7trrvu0l5++WXtvffe0/70pz9pLS0t2plnnmluYyyPNQU7ReSnP/2pNnPmTM3n82kLFizQXnrppbEeUtnw+c9/Xps+fbrm8/m0I444Qvv85z+v7dq1y3w+Ho9rX//617X6+notGAxq7e3t2r59+yzbeP/997UlS5ZoVVVVWkNDg7Z8+XItlUqN9lspOZ599lkNQNa/yy67TNM0vfz81ltv1aZOnar5/X7t7LPP1nbu3GnZRiQS0S6++GKturpaq62t1a644gqtr6/Pss62bdu0M844Q/P7/doRRxyhrV69erTeYkmQ6zjLsqx98pOf1CZPnqx5vV5t1qxZ2pVXXpl1M0THOTdOxxeA9tBDD5nrjNS14tlnn9VOPPFEzefzaS0tLZZ9jAcGO9YffPCBduaZZ2oTJ07U/H6/duSRR2orVqyw+Oxo2tgda8F4EwRBEARBEBUJ5ewQBEEQBFHRULBDEARBEERFQ8EOQRAEQRAVDQU7BEEQBEFUNBTsEARBEARR0VCwQxAEQRBERUPBDkEQBEEQFQ0FOwRBEARBVDQU7BAEUfZcfvnlWLZs2VgPgyCIEsUz1gMgCILIhSAIOZ+//fbb8eMf/xhkBk8QhBsU7BAEUdLs27fP/Pu3v/0tbrvtNuzcudNcVl1djerq6rEYGkEQZQJNYxEEUdJMmzbN/FdXVwdBECzLqqurs6ax2tracM011+C6665DfX09pk6div/8z/9ELBbDFVdcgZqaGhx55JFYv369ZV/bt2/HkiVLUF1djalTp+KLX/wiuru7R/kdEwQx0lCwQxBERfLII4+goaEB//znP3HNNdfga1/7Gj73uc/hYx/7GF599VV88pOfxBe/+EXIsgwAOHz4MD7+8Y/jIx/5CF5++WVs2LABBw4cwL/+67+O8TshCGK4ULBDEERFMn/+fNxyyy2YO3cuVq5ciUAggIaGBlx55ZWYO3cubrvttv+/nbvFURiIAyj+yocnQRBQKIIpSTkEjgMg0RhOQYJHcwMOgKpCoUCS9AIkoLBlVy0J2XWEkP3n/VQ7opmayZtkWi6XC8fjEYDVakWWZSwWC/r9PlmWsV6vyfOc0+n04beR9ArP7EgKaTAYPK6r1SrNZpM0TR9jrVYLgPP5DMDhcCDP8z/P/xRFQa/Xe/OMJb2LsSMppHq9/nSfJMnT2M9XXvf7HYDb7cZ4PGa5XP56VrvdfuNMJb2bsSNJwHA4ZLPZ0O12qdVcGqVIPLMjScBsNuN6vTKZTNjv9xRFwXa7ZTqdUpblp6cn6QXGjiQBnU6H3W5HWZaMRiPSNGU+n9NoNKhUXCql/yz58rejkiQpMLcrkiQpNGNHkiSFZuxIkqTQjB1JkhSasSNJkkIzdiRJUmjGjiRJCs3YkSRJoRk7kiQpNGNHkiSFZuxIkqTQvgHlRakF8JTpCAAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "#plot the number of requests that are waiting in the queue as a function of time\n", + "sns.scatterplot(df_lam3, y=\"Number of Requests\", x=\"Time\")" + ] + }, { "cell_type": "markdown", "metadata": {},