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"markdown", + "id": "83a07e8d", + "metadata": {}, + "source": [ + "## Quantile Regression" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "646b893d", + "metadata": {}, + "outputs": [], + "source": [ + "import arviz as az\n", + "import bambi as bmb\n", + "import matplotlib.pyplot as plt\n", + "import numpy as np\n", + "import pandas as pd\n", + "from scipy import stats" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "11f39091", + "metadata": {}, + "outputs": [], + "source": [ + "az.style.use(\"arviz-darkgrid\")\n", + "SEED = 12947" + ] + }, + { + "cell_type": "markdown", + "id": "6d68466b", + "metadata": {}, + "source": [ + "\n", + "Usually when doing regression we model the conditional mean of some distribution. Common cases are a Normal distribution for continuous unbounded responses, a Poisson distribution for count data, etc.\n", + "\n", + "Quantile regression, instead estimates a conditional quantile of the response variable. If the quantile is 0.5, then we will be estimating the median (instead of the mean), this could be useful as a way of performing robust regression, in a similar fashion as using a Student-t distribution instead of a Normal. But for some problem we actually care of the behaviour of the response away from the mean (or median). For example, in medical research, pathologies or potential health risks occur at high or low quantile, for instance, overweight and underweight. In some other fields like ecology, quantile regression is justified due to the existence of complex interactions between variables, where the effect of one variable on another is different for different ranges of the variable." + ] + }, + { + "cell_type": "markdown", + "id": "ebc8eb8c", + "metadata": {}, + "source": [ + "## Asymmetric Laplace distribution\n", + "\n", + "At first it could be weird to think which distribution we should use as the likelihood for quantile regression or how to write a Bayesian model for quantile regression. But it turns out the answer is quite simple, we just need to use the asymmetric Laplace distribution. This distribution has one parameter controling the mean, another for the scale and a third one for the asymmetry. There are at least two alternative parametrizations regarding this asymmetric parameter. In terms of $\\kappa$ a parameter that goes from 0 to $\\infty$ and in terms of $q$ a number between 0 and 1. This later parametrization is more intuitive for quantile regression as we can directly interpre it as the quantile of interest.\n", + "\n", + "On the next cell we compute the pdf of 3 distribution from the Asymmetric Laplace family" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "c4b61d79", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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\n", + "
" + ], + "text/plain": [ + " age bmi\n", + "0 0.03 13.235289\n", + "1 0.04 12.438775\n", + "2 0.04 14.541775\n", + "3 0.04 11.773954\n", + "4 0.04 15.325614" + ] + }, + "execution_count": 4, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "data = pd.read_csv(\"data/bmi.csv\")\n", + "data.head()" + ] + }, + { + "cell_type": "markdown", + "id": "c7b8adf6", + "metadata": {}, + "source": [ + "As we can see from the next figure the relationship between BMI and age is far from linear, and hence we are going to use splines." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "451de7d7", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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VoHqCoH5CWIH6CWFGrPvIRx99xC37npWVhREjRsSsHYMHD8bYsWNjdrxEh8YS53G1sT1gwAC89957CAQC+OSTT9Dc3Izy8nK0t7djy5YtQgPbLl988YUj+7EDZfwSVqB+QliB+glhRjz6yBtvvMFNUGxrayNJXpdCY4l9rExOEiJmW5ZlDB8+HHPnzkVZWRneeOMNPProowCAf/u3fwMg9lyzz50yzAmCIAiCMIcSFAniLAlhbGuZOnUqAKClpQUAcPHFFwM4myjJg30uiukmCIIgCMJ5KEGRIM7i6jASHp988gmAszKAwFkj+sILL8Qbb7yB7u7uIEWS7u5uvPHGGxgxYgQlRxIEQRBEjIlngiKVaSfcgis927/73e/Q09MT8nlPTw/uu+8+AMC1114L4GzS5KxZs9Dd3Y2qqqqg31dVVaG7uxuzZ8+OfqMJgiAIggjB6/Vi6tSpMTV46+rqMGHCBMycORMTJkxAXV1dzI5NEHpcWa69srISP/vZz5CSkgKv14uBAwfi448/xksvvYRTp07hyiuvxNatW/HVr34VwFkP9u233453330XU6dOxZgxY/D222+r5dq3b9+u/pYHlWsn3Ar1E8IK1E8IM/pqH+F5r6lMuzV41y6cftLfVxAStlz7tGnT8Mknn6CtrQ3t7e3o7u7GwIEDcfnll+PGG2/ELbfcooaRAGeL12zfvh2VlZU4ePAgjhw5gmHDhuGuu+7C4sWLDQ1tgiAIgiASD5GGN5VpN8cp/fN466gnCq70bMca8mwTboX6CWEF6ieEGX2tjxh5rwG4yrPtNs+v0bUbO3as5X5CKwhn6TPSfwRBEARBEAwz77VbVFDcGDtudO3isZ/+gCvDSAiCIAgiEXCb17K/wDS89V5VpuHthjLtfr+fW0HT5/PFta+YXbtY76c/QJ5tgiAIgggDN3ot+wtWvNfxUEHR4lbPr1OefzetILgditkGxWwT7oX6CWEF6iexJ9HiVftqH/H7/XH1Xhvh9j7Cu3bhqpG49R7EgoRVIyEIgiAIN5NIihd+vx/t7e0YNmyY69oWKV6v17XnxDy/y5cvR29vr6nnN9YhSU5dOzffA7dAYSQEQRAEYRMWr6rFjfGqLNTF5/NRqEscyM7ORnt7O+rr69He3i6UxaOQpL4NhZGAwkgI90L9hLAC9ZP4UFdXF+K1dJPGsNvDGIizuOk+0VhiHwojIQiCIIgo4QbFCyMSKdQlEYhWmEe494mUcBIHCiMhCIIgiDCJt+KFEYkS6pIIRDPMI5z7RGEniQUZ2wRBEATRB+nL0mx+vx+HDx+G3++PybF4etlOHdvsPunPNdrtIZyHwkgIgiAIoo/CQl0+/fRTDB06tE8Y2nV1daqxKcsyysvLoxorH4twHF5Ikt/vR3V1NaqqqoLOddSoUVFtD4WnOA8lSIISJAn3Qv2EsAL1E8KMvtJH4pFMGI9j1tXVobCwEHoTzePxoKGhAenp6VFpz969e/H9738/ZhOZvoCVBEkKIyEIguhjxHKJnYgNdE/PEo+qjLEOx2FhIjxfaG9vL3p6elBeXq7Gecuy7Eh7/H6/amgDFJ7iJGRsEwRB9CEocarvQff0X8Qr6dOqXrYT8CYUDO25MmPcqQAFt5aX7wtQGAkojIRwL9RPCCuwfuImvV6AYj+dwKl72pfGErfrm0cK754DUMM6WIEip59zt40fiQKFkRAEQfQj3OSZIm+sM7jpnrqFWHqZ44E+bEWWZSxZsgQdHR3Izs6OWp/wer3YvHlzn1SviTekRkIQBNFHYEvses9UrHWVRdJkPp+PXtw2ccs9dRter7dP9yWjgknJycncbZKSkiI+bm5uLqZMmeLaQk2JCnm2CYIg+ghu0VUmb6x1zBIf3XJPE5VETSxlIVg8g7e7u5u7TU9PjyPH1hdqStRr6CbI2CYIguhDuGGJnSoXWsNqqI0b7mkikqihTGbtTk5OhiRJQZ9F6/mqrKzE+PHjE+4aug1KkAQlSBLuhfoJYQU39pO+nsQWKbFORnNjHwGil0RrdH0BuDZx16xfaAv6aL8P9/nSX39tP6msrERxcXHQ7ylhMhRKkCQIgiDiAnljjaFQm+h6nkXXt7q6mntMt4RKGPULfS4EcDZ5sqGhIazny+j6+/1+lJSUhGzT3/qoU5CxTRAEkQC4xRiwgz72k/gX/T3URpRE61T/5l1fWZbV0ufaY1ZWVrom3MSoX/AM8UAgEFastuj6f/TRRwDOGv28wAdZlvtNH3USMrYJgiBcTqLGnhJiopH4mEgTsmh79nnXNz8/n3vMkpKSiI1+p669Ub8QTSDCMX5F1/93v/sdAL7RDwDFxcU0eQ4DMrYJgiBcTLQ9gET8iCTURm/cJdqELBaeff31zcvL4xqreg+uXaPf6Wsv6hfMENcmRyqKgubmZtvHEF3/b33rWwCA5ubmkOtSWlqKgoIC28ciyNgmCIJwNRTb2zcQeT7DCbXRG3eVlZWunJAZeXtjJWmovb68YxYXF0fkLY7WZFjUL3w+X4ixHc7xeIVzioqKMGLECPWctMa2LMvIysqK4Iz6N2RsEwRBuJj+HtvbF3DS88kz7kpLS103IbNyzvFIotUfs6CgICJvcbiT4XDDTpycfGdnZ6OoqAiSJKn9aOvWrcLYcJrghw8Z2wRBEC6GiprEl0hjcZ32fIoMoVjpLlvBzjnHI4lWf8xIvMXhTIYjmXw5Ofn2+/0oLS1VPdiBQAB5eXlITk6mCb7DkLFNEAThckhGLz444ZF2OgxIZGyVlJS4ZkKWaKFPkbTX7mTYzkSEN9FzcvItOu+enh6a4DsMFbUBFbUh3Av1E8IK1E+cQVvgA4AjRWeiUbxGVDDI7/fj+PHj3BLfsewjsSzY40RRHCfaa3TttRw+fBgzZ84M+by+vh5Tp05V/9YWr5FlGeXl5UGTbKvHM2uz0Xn7/X4cPXoUiqIgNTWVjG0BVNSGIAiCICyg9WKPHz8eDz30kCPe2WiEARmpVbhB1zxWoU9OxcI70V6r195KGIgV77cT95p33tXV1eo+m5ubsXDhQuTm5nKL3iSKzKQbIM82yLNNuBfqJ4QVqJ9EBs/DBwCSJAUpMkTinbXjiYxGCfN49BEnvK9G+9bfM1mW0dHREZGnV9/eaNwL0coEw6r32ym05z127Fh8/vnnhl7v5uZmQ697f8OKZ/ucGLSDIAiCIFwLL3aVIcsyAoFAxN5ZJj1nhln4QCKhPWenjdbq6mpuomh1dTXKysoibi8QvXuRnZ0Nn88nnIgw77d+IpGUlBTxsXnw+qYonvvo0aNcr7vP54v7ioqboTASgiAIol9zySWXhKh5AGdVKWpqamKWmNpXCxg5XfTF7/dj06ZN3O+qqqocuV7RvhdGYSBerxezZ88O+iwQCCA9PT1mxYpE4S6KogjDqyi0RAwZ2wRBEES/xuv1oqSkJORzj8eDyZMnxywOOtFUPKwQDaO1s7MzpLohwyk96HjeC7/fj927d4d8HsvJlyiOPTU1lWuEt7W1JVQF01hDxjZBEATR7ykoKEBpaalqSMRD7sxq8lwieQ+jYbTyrhPDKT3oeBaTMgpriuXki5eIyzPCi4qKggor9ZUVGSchY5sgCIIgcNbg7ujoiJueuZkqhtPhGLEgGkar/jpp9+vUBCmexaRiMZmwCi/cRW+ET5w4sc+tyDgNqZGA1EgI90L9hLAC9ZO+hUgVIxIt6Hj2ETP1jXBh1ykpKQldXV1R0YOOl4qM9poxnLx2IsLpJ7HUVXcjVtRIyNgGGduEe6F+QliB+knfJ1I5uHj3kWjKAMZTwYUZ2O3t7WoohVNt0E4menp6TK+dE8Z+uP0kWhOqRICMbYuQsU24FeonhBWon1gjGprJsSKRPdt2sXOfIr0ukfQJrZGvx2obnOqTTk04Iukn0ZxQuRmqIEkQBEEQsB/v7LZExHjGEMcSu/cpkgTMSGLg9Soreqy0wakY/HAUX6LRv91SwdSNkLFNEARB9GnsGiNWjKB4GOOiMu1OEe8JRjhGY7gJmJFKEhophlhpg5OSiHYnHImYaJvokLFNEARB9GnsGCNWjCAnjRW7Bm60vIduMMDC8VKH6/GPVJLQTDHErA1OSiLamXD01cJJboeMbYIgCKJPY8cYMTOCnDRW3GDgAtbPKdqe73C91OF4/COVJOQZ+aWlpZbb4KQkop0JR18snJQIkLFNEARB9EmYcQjAsjFiZgQ5Zay4ycNo5ZxiMTGIJC7drsffiRh4vZFfUFBguQ1Ox+BbnXDEs1hPf4bUSEBqJIR7oX5CWKG/9BM7yg08dQafz2dJLcFIxswpTeFIpfzsYtRHzM7Jyjk7qfQSS1ULp49l9zrEQ8HDqH87OZYksvqPHUiNhCAIgugT2PGsirzGACx5Ho28hOF6JPUhGG7yMJqdk5nn22mvdyxVLawcy2r4TGVlJcaPH2/rOsRDwSPaibaAe0Kk3AJ5tkGebcK9UD8hrNDX+4ldb3IsvMZ2PJIiDeRYFgKx0kdE52R0/QH06eqBVvWrKysrUVxcHPRZIl4HJ8aS/lZRkjzbBEEQfYB4S7LFG7tx0rHwGlv1SBrFZsfCw2gH0TkZeb77csKdncTRkpKSkO37ynWwS1/uE+FCxjZBEISLoeVY+8azmwrAmBkeiVIIRDQxcFM4TKToJ7VWjcbOzk7wggRkWU7I6xApfalPOAUZ2wRBEC7FTYoV8SQc49ktXmOnDA83rG7wJgZumthEgnZSO378eFRWVlq+dyLN7eLi4oS7Dk7QV/qEk1DMNihmm3Av1E/6N1Zjj/tLP4mHcoMT2I3N1qs4WI0bNiLafSRa9yYWiha8GGMAKC0txaBBgyzdO+09lmUZxcXFKCgoiEp7o4mZao3blVbigZWYbTK2QcY24V6on/RvrCYaUT9xP1YND71hXVxcjNLS0oiTzWLVR5w0jp2YZFhBNKmVZRkdHR0AYOneae8xgISUvRs8eDDeeuutkLaHey/6g/wfGdsWIWObcCvUTwgrXlHqJ30D3uRKluUQjytgX1klFp7t6upqVFVVOWIch6NoEa5h5/f7MX78eG7cdTgKNrGaJESDvXv34vvf/36IPn046iKJfB3sQGokBEEQCY5bYo+J6MNLyAsEApAkKegzuzHffr8fhw4dilq8d11dHcaPH4+NGzc6ll9gV9FCn0hcWVlpOcbd6/Vy1UTCja1P1DwLv9+vGtrAv9re0tJiW10kka9DNCBjmyAIwuUkimIFERmihLySkpKwk82YEcq8k1bUbOwkYzKjiucVjkTuzU5iKc+wKy4utqXgU1BQgNLSUvWY4Sb1OSl7p78P0U6SFbVdkiTbSb4k/xcMGdsEQRAE4QJEKg4FBQVBqxs+n8+S0RWOd9Guh5hnVDEikXuzo2hh1IZAIIBly5Zh3759pteroKAAHR0dEa0iOaU+o78P+fn5UZcAFbV98uTJttVFSP4vGIrZBsVsE+6F+glhBeon7iLSpDCjZEo7cbB2K2mKVDkACI8l2iacGF3edbOSWGrU7nDaFOn9E+VZWN2vlfNxqiKjvk179+5FXl4eN0fErrpILCukxhNKkLQIGduEW6F+QliB+ol7iGZSmN2kQafK3Jttq5e9y8/PR15eni1DMNLrpm2DEWZGqlP3T2+YavcrSRJKSkqQlZXFNb7N7gMjnORNLbxz/eEPf4i33nrLMcm+/iD/R8a2RcjYJtwK9RPCCtRP3EE4Chp2sOupBux5F614VI284uEaVU5dN9aGtrY2lJWVCQ1vO559O+3w+/1oaWkBAKSmpgZ553nXVZIkKIoSYtQ74dk286KLzvWDDz7AgAEDTM+V+BekRkIQBEEQMSLaSWHhxMEyNZtDhw6ZxiHr46T1GB0rkiRep64bawOLca+trbV1vYza0draik2bNqG1tZW7LVNkyc3NRW5uLsaPH6/GVYtiypmvUx9Lz+4DryolcDYcxihmWh/vzYvvFp3r7373O+4+icggY5sgCIIgwkCvDhHtpLBwy2B7vV5MmzbNkiGslZosLS2NScntaFw3r9eLzMxMW9dL1I6amhqkpaXh3nvvRVpaGvLz84N+4/f7UVhYGKTIoigKli1bBr/fj0suuSREvlFPb28vDhw4oPal7OxsbNmyhfvbmpoaw9UJK0mxvHOVZRmnT5+2rXgSbZWUvgAZ2wRBEISj9IeXL897GK4xbIdY6K7rPcTR1niP5nWzc7147Vi6dCnq6+uDfrdz584gD3dnZydX+jAQCOD48ePwer1YtmyZaVtXr14d5IlOTU0VqoOIsLpK4PV6UVxcHLT/QCCAGTNm2FI8seJFJyhmGwDFbBPuhfoJYQU39ZP+UDXOLLbXjUlhkfaRWJTddst107Zj//79uPfee0N+s3btWtx9993q73kVKFm5d6/XaznpEQjuS3aVTazGnWufUxGSJKGmpiYo/lx/naKZo5AoUMw2QRAEETN4S9hsKT3ax42lJ93Me9jXihDFwnvJjEetoW12X8O571a20d6/q666ivub1NTUoN9XVFQEhYpIkoTy8nL1XERhGytWrAjZt7Yv8TzzRvfDyiqB/jkVoSgKcnNzhffcTmXJ/rDaZQQZ2wRBEIQjiMqNV1dXR+2Y8VjGNosxdpNhwdry0Ucfhb19tMtu8+6h2X0N575rtxk/fjwqKytNt0lJScGcOXOCPpszZw5SUlKCPsvOzsaxY8dQW1uL2tpaHDt2LGhFh2cEl5eXY/78+dy+lJSUpPYhrfFv5X6Yhc4YFQHiwTtGXV0dFi5cGPJbXqw9hZq4NIzk448/xq9+9Su89NJL6OzsxKefforzzz8fV1xxBRYuXIgJEyYE/b6yshIbN24U7u/555/HiBEjhN9TGAnhVqifEFZwSz+xspzu9PHitYyt15YuLi5GQUGBozrNkYZtWGmL2XHCkRu0A+8eMuPTKEzH7n1vbW3F9OnTQ/pmaWkpCgoKTNvZ2tqKlpYWpKamYvjw4VyJP6vnqw+V0YeKzJo1C7t37+beNyfuh+g5NYMdw04ho/4QamIljOScGLTDNnV1ddiyZQsuuugi/Pu//zuGDBmCDz/8EM899xyee+45PPTQQ/je974Xst3NN9/MvXlf+9rXYtFsgiCIfo3X68XixYtDnB/aRDEnMQrniPaLPDs7G6dOnUJJSQkCgQBKS0sBnDXe9F5Hn88X0wIvgNgjrW2LleMwL77eWDJTCrE6WRCthujR3le7972uri5ELYRRWlqKrKwsS3rVd999N+rq6oKMdkmSUFFRYfn+eL3ekGNlZ2fD5/Ph+PHjSEpKQnp6uvC+2bkfonvg9XoxY8aMkMRPI7THEHnGa2pqkJmZGfRZPJ9RN+HKMBKmT9nU1IS1a9finnvuwSOPPIInnngCHo8HJSUl+PLLL0O2u/nmm1FQUBDyj4xtgiCI2JCXlxdV+Tst0ZbaM8Lv96O0tDRIK1lraDPs6kU7FbZhFldu9TjhKIXYCRvg3UMe2vtq576z8xR5cdlE0Mp5VFZWGkr8RQILFenu7jbNB9CqiIjuh9E98Pv9ePbZZy23TZKkoGOIrj9PJUUUq56UlGT5+H0BVxrb06dPD0o+YFx55ZWYMmUKvvjiC7z33ntxaBlBEARhhNfrxezZs4M+mzVrVlS8WEaGoN/vx759+7Bv376oxE6LPLJ6PWW7xr9TBV7MDFKrx/H7/Rg1ahQaGhosyefZnSyYFXBh7dYblPn5+aYGp+g89fs2MtK156GdXGkxMtjtYnbf6urq1EmdJEkoKirihgYZJSrbjdkGAJ/Pp/6/nQkYr1BSIBBAenp6v4rddqWxbcQ555wT9F8tR48exebNm1FTU4PnnnsOZ86ciXXzCIIgEoJoJfH5/X7s3r076LM9e/ZELVlQpNYgqubnFCKjqKSkJCK96HC99fr7aWYQWTmO1juanp5uaek/nMmCUQGXtWvXBhn4rE0bN26EoijIycnB5s2bg4xBLUaec7tGushAlWU5JoWL9Ea0oigoKysLebbMEpWTk5NttUlRlJD7Z0e/PDs7Gw0NDUET0Wgk2roaJYHw+/3K2LFjlX//939X/vnPf6qfP/LII8pll10W8u/KK69U9u3bZ7rf3t7eKLbanXR1dSnNzc1KV1dXvJtCEESMqampUWRZVgAosiwrNTU1ju27ublZARDy79ChQ44dw4iuri5FkqSQ43s8HsfHu5qaGsXj8aj7Z9exq6tLOXToUNjHE+3X6Pe8+9nV1aXs2rVL2b17N7ctRsfp6upS92nnGtrdjr2LWlpaTLfj7Zv9M+rH+vP86U9/qmzYsEFpaWmxdR6ifz/60Y8Mz01/Dlbevbw+ZPXZMnsGRPsR/WPbRWI3RHNcSAR7xpVqJDz+8Y9/4M4778TRo0fxwAMPBAXhNzU14S9/+QtSU1Nx4YUX4uTJk3jhhRfwyCOP4C9/+Qs2bdqE6667Trjv/qZG0h+KTvQV3KIyQbgbO/0k2uoAIqUCq6oP2v1ok7usJtwZFQ9xSkFD385oFGKxul/R/SwqKlLDDWRZxubNm5GVlWX5OJGoXogKsfB+p30XzZ49W6jCAQBFRUWGymNG/ZidZ1tbW9B1MXr/6RVneJ5tSZJw7Ngxbsy0/j0LIKJ3r9Vn1+/3495778X+/ftD9lFfX4/Ro0dzn1FJknDLLbfg6aefDkkAjUbbZVlGY2NjiIyiHdxgz1hRI0kIYzsQCGDFihV49tlnMXv2bPzv//6vpe1effVV3Hnnnbj00kvxzDPPCH/Xn4zt/iDD05cgY5uwgp1+Em0pN+CsHGtxcXHQZ3bGGbtGmNYQBxBT+cF4I7qfkiQFXQO743ykxpHZZIG3fxZmoChKiMqHVbk6Xj9m/SM5OTlI6QMwvy7sPE6ePInc3NyQ75csWYKysjLTc+PJGcqyjC1bttiSDzSbyFRWVqKkpIR7nUSVKWVZRn5+PvLy8jB27Fi89dZbOHr0KACoSY9O2A3aY2qvQSTymG6wZ/pEBclAIICf/vSnePbZZ5GRkaHKK1nh6quvxkUXXYTf/va3OH36dBRbmTg4lXxDEERiEgsFj4kTJ4Z8ZnWc4SV37dy5U5hwp1ddaG5uNq3m5xaciJsXqT3ojS2743ykiW1mVTR51QcVRVHbrShK0H3u7Ow0NbTNCqpMnz6d+/47evSo8D54vV51n7zrnJeXF7KNKGaa95lRhUYe2ljphoYGjBo1Cn6/H36/H8uXL0dxcbHQ0NbGp2v309HRgbKyMvU7r9eLzMxMZGZmmkot2sHp2O1EsmdcbWwHAgH85Cc/wb59+3DTTTfh/vvvtyQRpIXNOHp6eqLRxIQjnlJZBEHEn3Ck3OwSyThjRSmBvVBFqgsDBw7EwYMHudX83FLd0amqerz7qZWGY4QzztsxjuxcV1H1QT1aw8lMItBKWXKeESpJEhYuXGhaqTI3N1f1uLPjaSdw2vPntVWSpBClGga7pq2trZauodfrxfHjx5Genq5Wwxw3bhy2bdvG/b0+yVS7H6MJESOS51nfL7q7uyOeCDrRrljjWmObGdr79+/H9773PTz44INBM2wrdHd34/3330dycrIlN39/IBYvWoJwErcYR30JO0oC4RDJOGNFd5m9UEUexNzcXKSnp+Ovf/2r6p0D3FM2urW1FYWFhY6VQNffz4KCgpDrX11dHdY4b8U4snNdRbrXPGNUazgZSQTKsoyGhgbLZcnZPvShHWyyxuQieca6JEmora3lKqSw89+7d2+QNKE2PEZEb28vpk+fbusaGk0itOeakZFheu/ZOPvRRx+FfBfu86y9LuPHj0dRURGSk5MdM5ATyZ5xZcw2Cx3Zt28fbrjhBjz00ENcqT8AOH36NE6ePBlyo/72t79h1apVePbZZ5GVlYX77rtPeLz+FLPNiFZSD+Es8e4n8cYNyS+JgFv7SbjjDK989Z49e0LiVEXJmAwrJb4bGhrQ3d0dUVl0OxhVM3Q6gVN7/ceOHRtWHzGLi7UbNyuKMa+trcVf//pX08TKffv2cWOnRbHaonve09OD9957DytWrOCeN4tj5iVkao9l1AclScKCBQvwxBNP2Na1NornNkoC1mMlMVkb5200ztp5no1Kus+ePZv7PIdLvO2ZhE2QrKysxMaNG5GcnIz58+dzDe3rr78e3/nOd/DRRx/h+uuvx7hx4/DNb34TQ4cOxZ///Ge88sorOHHiBC677DI88cQThhejPxrbRGLQn/uJW5Jf4olVBY549BOrbYtk/9oXqOiFyku60sIMI7NEwlhM5owMs2j3bdZHwrlvRkl5dhNurRjvdhMrja4dr+0+nw/V1dXYtGmTqVcYgOGxzAxfkYqJFn0yq357fb9saGjAHXfcYdh2SZJQUlJiamivWbMGGzZsCPrMib5odF20E56+4PCzYmzz3cVxRhvb89hjj3F/4/V68Z3vfAeDBg3C3LlzcezYMbz44ov4y1/+gq985Sv45je/iezsbMybNw9f/epXY9l8giAcwCj5xUwKLZpGYKxwwqvvxLXg7SPStllpl9frDfpO/zcjOzsbPp8PR48excKFC0MMI32Jb15SHvCvUA6fzxdRv+GdG/vs008/FRpe0aqyqSXc+8auMc8I5l1Xo7AAtvSvN4C1yXlG18Fse7O2Nzc3W1I1Ac72iSVLluDRRx/lHsvv9+PTTz81NKhZpUej461btw4rV67k7oP1yzFjxqC7uxtbt25FfX190G+0YSpaZRF9/Lq+X1ZWVoYY2oC1cdYM0fPG9t/T0+O4DKebcaVnO9aQZ5twK/25n4Tj2e4rYSd2z53XT5y4Frx9+Hy+iFYconmPzGTRrOgmRxLKYaatbBS7G23P9pkzZ3DxxRdHZaXIqq62lkiX/sPZ3izsSA+7PgBCjqW910b31Sxe2+PxoK6uDrt370Z9fb2wbUYG+44dOzBu3Djh9dC3dfHixao6C2+fTslkao+rpa+tUCZsGEmsIWObcCv9vZ/YeYn3pbATu0vz+n7ixLUQ7WPz5s2WY2at7tPJe2QlDOH48eNISkqyrblsdMyWlhYsWrTIVFvZyPiKRtEdRnt7O7ekuVPHtBvPG4/VJzuxzvqJoF7LnacRvm7dOpw5cwZlZWXqhE4rZ8h+J0kSAoEAPB4PrrjiClXTGjgrWXzkyBFbMd5r167F3Xffzf1ONMEwMt7tFqASHZdpmx84cABVVVXqOUcao+02EjaMhCAIAjBevtYTbtiJG7G7NK8n0mvh9/uxf/9+7j4kSQq7bbG4R1bCENj3VsMRjIxDkfcOAPczRVGwfv16rFixIsjYkWUZSUlJls/TLpdeemlEfcoMs+vOMFvZiNQQN9r+kksuMQ3pAICcnBzcc889wrCp/Px8bjjSihUrUFFRgfb2dmEhHEVRsHXrVgwdOhSnT5/G3Llzg75/9dVXMWvWLDz99NOWDe7U1FThNRApsoiuwapVq5CVlYXDhw+HfQ9497ijo6NfizK4VvqPIAgCiI0WrNuIVNIqkmvB5LruvffekO88Hg8mT57sqKxfPO+RFQlEI1k7vQSbHlmWueebnp6OiooKbsGYysrKqEhdjhgxIui+ybKMoqKimBo+Il10JrUXqTSj2fZerxclJSWm+8nKylKvC0+msaqqiitByArxAMDUqVORmprKLYQzcuRITJ06Fb///e+5x9+zZ49lQ3vOnDlBFT3116C9vd1QSlMrT5iTk4NBgwYZXkMzKVbePdZeE9Fktq/Lu9oKI/njH/8Y0cG+8Y1vRLR9tKAwEsKtUD+xRzixo27G6tK8KGY7nDhaUUyrLMsoLi5Wl5edkvVz8z0yC3sxU1yYNWsWdu3apXoR9SXIW1tbDeNmnYxnZ33EqsxbJLS2tuK1117DVVddFWQIGl0vXniNNmbazNttJ0QpJycnJMmQt42RTOOSJUvU0Ag92tAcoxLlY8aMQVpaGrcdZmRmZmLx4sVB15d3DYzClmRZxgMPPICWlhY89dRTlkq881Yl9J50OyFwfSHPxvGY7W9/+9vCCkimB5IkvP3222FtG23I2CbcCvUT+8RbczUeiPqJ3WsRK3k8bbsAc0MqXpjFzvOMZVmWUVNTg5EjR4bEhOsTz4qKirg6zgwn49kHDx6Mt956K2ox88zg0qtlzJkzB1VVVepv7CQoAsFGrVH/M7pXrACSKN6aYVXDnV2zn/3sZ5Zk80T95IEHHsBjjz0m9HAbwTuOnZh0K4V2GOwa8vpOUVERSktL1ftTXFys/m3UVqDv5NlYMbZthZF84xvfwNe//vWw/g0fPjzsEyEIgrCK1bCT/gC7FgAsLdOKqjfq5fEiXe5l7WpubnZFRUceWlk3LSzspa6uDunp6SGe2PLycmRmZqK7u5tb3ZJVXvT7/di0aZNhG4zKWIez9G4UMx8J2tAFvcd4586daG1tBRAaHmWGLMtB3mOj/icKUWprawvqY7feeivXgF65ciU2b96MMWPG4PDhw8jJyRGu8DADu6KiIuT7oqIinDhxAps2bVLPm1eFMxAIYMWKFWEZ2sDZ+3bgwIGga2Gl+ipw9lytxK4DZ69hUlKSMIejpKQk6P6UlZWhuLjYUphZtPqjG7GVINnc3BytdhAEQRBRwM4yrV7DmCePp09oDDehTRTbGanOtRNoQy2YeoSiKKrhACAkVpuVDGfL+mZJrp2dnabGjiiePdyl90gTb3mYxa0DQEtLi3pdjHTRAQRd67vvvjvE8y9KqOXpb2u9rsDZPvbee++FtE+SJKxfv95S8ZnGxkakpKRg37593N+/+OKLKC4uVv+eM2cOVq1aZam4jV1Wr16NoqIi9f43NzebHsPj8eDyyy+31BYWCqVfoWHwDPbe3l5MmjRJTRI1WlWLRn90K5QgSRCEbfpDQktfQGTQGt03bdJgY2OjYUJjJAltbvVqVVZWori4WDUimMFdW1urJlHy2h4IBNDT06P+bZbkKvJCsuV9kUcwnHtqtU3hIFK70KJXy/B6vcjMzAwyShnaaz1s2LCQ71n/441B+oTXiRMnWjIqFUWx9LvMzEykpKSgrq4OCxcu5LZd75TcuXMnTpw4gfLy8rDDcI0IBAJYunQpGhoaUFhYyG0T62csKZaXuKknJycHDQ0N2L17t/DaiGK8mYFttsIYjf7oVsjYJgjCFpEqBhCxI1yDlr0oU1JSQl6GRUVF6OzsRGtra9hGH+A+ZRLgrCHLMwADgQCGDh1qaCjz2m6kduL1ernHUhQFOTk5QnWUSCcpVhRYtJhNrM1CF/RqGVomTpwY8hm71sBZvWc9N954o2H4kdbIsxpWYZX8/Hx1sqM3NGVZFsZLNzU1YeDAgVExthlz587lGr+KomD+/PmqtndJSQn27t2L8vJyw2uzbds2PPnkk0KPNo9wjGW7/TFRsdUL//jHP0b0jyCIxCYSrxpxlliuCjhh0GpfhmxZnlWfi8Toi5ZXK5Lr29LSwv1cluWga6ZvuyzLwqIiRh4+nrEJAE888YSwjU5NUqzE62on1uPHj0dlZWXIb3j3cfny5Vi7di2amprU5Ei751JdXc019J555pkQKb7CwkLu/WZt03p2J0+ebHrePDIyMpCSkoKWlhZuux588EF897vf5W67bt065ObmOhJGMm/ePFu/lyQJTzzxRNBKTXFxMU6dOoUtW7YYbvv444+H3B9RrDeLedcWTrL6LHq9XjWJta++S2zFbPt8vj6pRkIQhDX6UuGYeBBrmSteHGs4Bi37fWZmpnr/jZaQrWKnaJEVonV958+fH9I21vbq6mpUVVVh48aNqKqqMj2mNsZdVGSFJVLyrocoNrmzs1P93ggr14hVxNROrJmRBiCkumC491HUPwEIk0dF3tujR49yQ27ef//9oM/mzZuH+fPn44c//KGlCQdw1n657rrrVClA3vcrV660FW5hdCyj33/88ceW9wUAixcv5irelJaWqmFiRu1esGABnnjiCcPnXhvzzhRJTp48aUlFBugb8n9mhCX95/V6ce6559o+2K9+9Svb28QCkv4j3Irb+klfkWqKB9G8dmb9xAk5xFjJAoaLUyXqx48fH2JQ6CsKhntMnlFx6tSpkHAS/T60pa+7u7tVCbvjx4+jra0tSHpNdA+sSv8ZVcQEguULnSq7ru+fdiTsGLW1tcjMzFT/Fmlk25G808I8vLyEznD2Z4QkSZgxY4ZQC/z222/Hz3/+c0v7qqysFJZer6+vR1tbm5oMzGsHCz8RwStJz6Mvy/85Lv3HLupf//pXpKamYs2aNfjVr35l+R9BEIlNf0pocZpoJQT6/X4cOnTIsKJbZ2dnxJ5j3pI/exm7ASvX12xZW1RhcNu2bdz8BNExGxsbQ/YhCsHKyspCaWmpem31z5Q2lCMtLU2NU25ubsbo0aND1DaMwrp4oRnaa2RFWYR53Z3M3dCH2pglj/JQFEU9b1FcNftdOIZxIBDgXpe8vDxHDW3gbBt/8YtfIC8vj/v92LFjkZGRYWlfP/zhD7mfM1lEvaHNrjH7r1FfWLt2LbZs2WLp/EVjnVsTpZ3GlrH94osv4n/+53/g9Xqxa9cuzJs3D9dffz0qKirUJSyCIPo2/SWhxWmikRDIDB6fz8c1eJw2iPRxygAsG3rRxuz6Wr0Wojhq3vmJjMIf/ehHyM/PD/pMZFQcPXoUEydORGNjY8gzJTJ+WVt48cMiQ+Wjjz7ihmZIkoSkpCRhG/Uw3eVo5m7w+tqSJUtQU1Mj3CY3N1e9r1bOQ4uVCaMsy9zJZnV1teXj2KG3txeXXnop97vU1FRs27YNO3bsMG27KNxr6dKlQao72t+z1SojI9rj8SAjI8OSsglw9vqdPHkypI+4MVE6GtgytocNG4Y777wTe/fuxS9+8QssWrQIgUAAjz32GG688UZkZWXh8ccfx6effhqt9vY5SEKNSESocIx9rK4KWB0TzJJVo5HMqp1o8Txa8fRIGV1fO9fCSMFCf37smDyDR1vMRbRfSZKwcOFCzJw5E+np6SFx2kZGY29vb5CsG0NkqLz//vtCT296ejrq6uosqXcUFRVxC/aY3Xs7/frw4cPw+XxqX+vo6EBZWZmpYcfu64svvij8jf5eybKMJ5980rBNLDyHN9l02qvN8Hg8SE9Px5w5c0K+Y/lvN9xwAyoqKiwXCQLOJjJmZ2ejvLxc+BsrISHs2bJSqIgZ79oJESOc1dJEtJtsxWyLeP3111VN1i+++ALnnHMOpkyZgqysLNx4441OtDOqxCtm+5FHHunzSQFEZLgtZpuIHKP4aTuJQmalxM2+d+I83Bhrybu+dq+FKG5ZdH733Xcf1q1bF7KftWvXBqmU1NXVBRUM0nsPZVlWi6awczEqb15aWopBgwaFJBjy+syZM2dw8cUXC/fFzq25uVndHw+j0t12YtV5bdT/rri4GCNGjABw1pvr9XpRWVkZUg5cDy/JkH2mjbFm18vn82HcuHHCfR08eDDonhw/fhwnT55Ebm6usA16ZFnGgw8+iCNHjmDPnj3c47B2ybKM/Px8NYzE7FqzNiUlJaG9vR3bt29HR0eH5WtjleXLl2Ps2LFQFEW9HwzWhra2NpSVlQn7D6/92u3Nwt3cmExpJWbbEWOb8Y9//AMvvvgitm/fjtdeew1DhgzBK6+84tTuo0Y8jBnewOeGFxXhLsjY7j/YNV7Nfh8LY1hrPBoZevHGyrXQJ/v5/X5VaSQQCBieX2trK9LS0kI+X758OVavXh3SFiNjTZIkVFRUqMfRXmM97BwABBkqvITKsWPH4pFHHjE1pKdOnQq/38+t8Ki9Zvn5+di5c6f63Zw5c7gyf62trZg+fXpIWXvWbnbNgVCjUn9dbrvtNsMiK1aRZRk1NTWYPHmyYUKm/l5oMZsI6Y9XXl6uhnvpt2EJuKzMe319vWpM5ufnc9VE9BNFs8RWJ/D5fHjhhRdMDV3ePdcTzqTfrRN8xxMkjfjyyy/R3NyM/fv344033gAAfOUrX3Fq932O999/P+pJAYm41EIQ/RW7iUJmy6+xSGZNlPh9s2vBi+f2er0oKytDR0eH6fmlpKRwE9YefvjhkPGXhWCJQiIURQkKcWHXWKu0wdDKbrKwLlFC5datW9V9rV+/PmRfkiSp4SeswqNRWM7u3buDtt+zZ0/IudbV1XGNrt7eXlRXVwdd8x/+8IeGhqKiKNi5c6dl49YIK0WKmEdbe8/ZO7W1tRUtLS245ZZbLMUr19TUIDs7W6gdnpWVhebmZkyfPh379+8PCneqqqoyDRWyktjqBNpy8EahWN3d3abx3qKYbCO7JZGTKW3pbPM4cuQI6uvrcfDgQZw+fRoejwfXXHMNMjIycP311zvRxj7JpZdeGqJv6WRSgBuXWgiCEMNe+HbGBKZv/OmnnwYZD/rvndKx5sHiNt2M3+/HqFGj0NDQgJ6enqBrIYrn9vl86rmJzo/pUQPAzJkzQ6TajDTo2QSAZyTxtjtw4EDIPmRZRlJSEg4fPqx6h0UJlXl5eZgyZQqam5uxYsWKkH0pioITJ04EHVPUf4ySPfXXlWd0ybKsrhiw9h06dCjkd+GSn5+PRx99VBiuAwBtbW2qZ1WkXd7d3Q2/369OYsI1aLu6utDa2sr1UAPA6dOnhdcqEAhgyZIlQedTVFRkObbfDJY3cPLkSezfv9/WtqL+zRvLGEaTfjO7JZwx0i2EFUby7rvv4plnnsEvfvELfPzxx1AUBePHj0dGRga+973vYciQIdFoa9SIZ8x2NJZg3brUQtiHwkj6F+GGZVA/EWP2Ag83tl2k46xFkiQcO3ZMGAbU2dmJM2fO4I477uCGWZjFnF9zzTV47bXXTEMOGLW1tSGhIfr2VlRUwOfzGepni8IEtNdX1GYr7YwEpgMO/Cu0Zu/evaZa5sDZ8zpy5Ag+++wzVFRUIBAIQJIkLFu2TP07HMy0uDMzM4WGLmvn3r17VZk+fT+2EtLCwnD27NmjJtcatckKZnH6+snLyJEjufHeonPg7d+NoWuOx2xv3rwZzzzzDH73u99BURRcfPHFmDFjBjIyMnDRRRdF1Nh4Es+iNk4Um9AT7cQoInaQEdX/CGdMoH7Cx2qstv43kiThRz/6EaZPn64mxun3yyt+o0dkbOsnALNnz1aNIJ4BYTU+WFR4hZ335s2bTZP6tIVMeJMTMw+vNh5b32aWADp8+HDL8c5atDHDIkpLS0OKuFh5J8Yi5tkIXuKiNkmUqb8x9P24srIyZEIhSRJWrVqFSy65RI1PF8Xjm+HxeDBr1izDfqpHO5Y1NzeHNenVFyvS79cNDkTHjW1WQfI73/kOMjIyMH78eFsNuuKKK2z9Plb0tQqS5NnuO5ARRVjBSj9xqtqfXeJ1XMC648EoCZGX+GenwqH+WKLxmRfiosWqMagNOdDuv7q6GlOmTLFt5GoVUqwa/eycjbyQVlYG9O3o6OjAiRMnuF51SZJQUlISZGhrVw/mzp0bss+mpiakpKSgoaEhZHUh3lx99dW4/PLLg0ql69H2LaO+Pnr06KBn0E7/Xb58OaZNmxaUfGvX0DVKkjWa9AJIiDBYK8Z2WDHb77zzDt555x1b20iSpGpDEtGFF39GVf4Iov9iJ4fDSeM43rkjycnJIR5DFuOpPU8Wm9zY2Igf/ehHQfvYuXMncnNzgzzcl1xyiSUJNV48qSjeuaenx3DlMTs7GwMHDjT0THs8HuTl5SEvL0+VgmMG/NixY/H5558HvRushBIEAgFMnz4dFRUVGDVqlKWiN+ycfT4fNm/eDEmSgjyrnZ2dGDNmjOk1ZPG5el3nioqKoHNYsGAB7rnnniDD7aGHHsLjjz9uuP+uri7cd999aG5uNjwnRjiyeeGGa7z66qt49dVXhd9rr7Pf78enn37KjWdua2tDZmZmUEjMd7/7XWFMtZ4vv/wyqF/azdEQTar08d6iHAZ9DkWiYsuzHekgGUn1smjS1zzbDLcttRD2Ic82YQWjfmJnpcuqcWzFILciTRhNjzfPE8yMNgDc89y0aRPuvffekH3p9bLZ/rVGhD4mVrTMHs7Ko1bKz0hSjRdCwdD2Ef3yvlb72yg8pKGhAenp6SEhNyzsRHvOPM3skydPqomRVgztxsZGobe/srKSG8NcV1eHpUuXCvcbCZIk4b/+679w6NChkLYvX74cX375ZdD5zZw5E4sXL8bbb78d5PyaNWtWRBKGWn1wrTylXkO8qKjIVJPcDLaiIJLINMJoJUTU5/ft28edULo5DDbmOtuJSl81tonEh/oJYQWjfmI1lMJOgpIVg9zouMePH4+qx5t3Lkbxwuw8T5w4wdXLZuEGvOMcPXoUAII8t2ZODjtJXtrrbWagGhkkZhMy5gk3MubXrFmD3t5e1YDT6kfrdb7DicnWsmTJEpSVlYW0k0069Ea/LMt44IEHsHLlyqiGg3g8HtTV1XHDTkpLS3HNNddg06ZNOHDgQNBEQHuNmpubbYXQaGGShG+//TZ3H1oN8c7OTsvhIkZow4LsPLdGSbJGE/lEC4ONWhgJQRAEkRhYlcsy0rC1KpNn5bhJSUmW9xEuvHMJBALo6ekxPM+pU6dizpw5IcVaeIY2wF9St7LMbiTJqJUTvOiii4KulVXtYrurBqzNhw8fNjzG6tWruaXp9efc0tISsTeVVU9kmE06AoEAV9LQaXp7e9HZ2cm9TiUlJQCC71MgEEBhYSGOHTumFgwSyfxZQVEUdHV1GUoFamVAI6kYCQSHXdl9bnljgL5Kqp6+GgbrWFEbgiAIwn1YLW7DK+yhN8rtFJUQHbe7uzvqhSmMzsXsPKuqqtDU1IS1a9eiqamJWxXRCbSFaBiVlZUYN24ccnNzkZubi7S0NMtFXIqKitDZ2YnKysqQAj1W4V0bPVrNal5hk7q6OixcuNDyMXncdNNN6OzsVPfr9/tRWFhoadIRbTweD6ZMmcKddPD0vNnnbAXETBM7PT0dy5cvF94HphtuFO6jLU40Y8YM03MyYtasWfB6vWEVlPF6vSguLlbPxePxoLy8XGhoMxKlWJYdwvJs9/b24v3330dvby8uvvhiDBw4UP3ugw8+wM9//nN8+OGHSE5OxrXXXuvIMgZBEIQbiafahlWsFLex4lGyW1SCd1y/3x/1whRm58IrYNLZ2alum5KSYmoQAM7ee550mxWWLFmCYcOGcWNzA4EAli1bhoEDB2L69OkYMGCA4b6am5ttG7La1Y9IvbaM+vp61NfXq+EGAwcO5O4zUq+tFXgx6W+//XbYxzUq+AIAjY2NaGpqQmFhIcrLy0OOU1xcrFYf5Sl3sJyEw4cPIzk5Gc8++2xY7WTs2bNHlQ8UrVSxokq8HBDWLyVJQlFRkWXDORGKZdnBdsz2L37xC6xZswanTp0CAJxzzjmYO3cufvKTn+Cll15Cfn4+ent7g5JGfD4fNm3a5HjjnYJitgm3Qv3EOvEweuOttsFwsp+YxRw7UVQiVoUpjM6FfdfW1hYSg2ylLU7ee7/fj3Hjxgm/FxmVTO7OShKcNnaYPScAgv4/nDhrbRGZ/fv3cxNMI8Hj8eD+++/nhohE29hmE7ERI0aoiioALGms69mxYwcGDBiA5ORkPPnkk9i2bZulY5eVlanJq8XFxcjKykJnZyfa29vV7xgsSZclXzp1fURSjtpETyuFdtweex0ujidItrW1Ye7cuVAUBeeccw4GDhyIU6dOQZIkrF69Gps2bcLf//533HbbbRgxYgS6urqwe/dudHd34//+7/9w8803R3RC0YKMbcKtUD+xRjyMXje9TGLdT5xQOnKDWlK499BoOwC2J31GuseSJOGRRx4RqozYQS9Dx4wxs6qORkbbkiVLcOmll0a1IExOTo6pccojXGOTJRl2dXWFTMTM5BedhGlkiwrDiLzfTsLTw2bJtPokVe1v+1NxPccTJH/2s59BURR8//vfR0FBAc4991w1UL+8vBw9PT14+umn8e1vf1vdZsaMGbj11luxf/9+1xrbBEEkLuEk7jiBlYTCvop2iTfcFYVYLhOL2hjuPRRtp5VhszPpS05OFn63YMECxyo0640ybex1VVUVNzSBec+vueaaEKUSWZYxc+bMEKPLLmZa1I8//nhE+7ZjjLL7Nnny5KAqiywk5/vf/37YbbGDJEnqRNTr9aK1tTVIfSQQCKghI9GCF0qmTaY1iuEW6X47GS6WSNhKkGxra8PFF1+M5cuX49xzzwUAjBw5Ej/+8Y9x+vRpjB8/PsjQBoAxY8ZgwoQJeO+995xrNUEQxP8jnMQdJ7CSUOgUfr8fhw8fDkpEcwN1dXWGyXhuaLdRG8O9h7ztZFlWDW3gX8bZvn37DM+/rq4O6enpwu/vuecetThPNAkEAsjPzw85L0VRUFZWhuHDh6OiokL9nhmlvIRXAFi5ciU3yU9/HsyYP3jwIFasWCFMPAwHth3vXolIS0tTQ214MfCPPfZYWG2xi6IouPfee9HQ0ICioiJDSUankSQJ69evN0xOFD07bW1tmDBhAnJzc6Eoino/+4qqSLjYMrY///xzXH755SGfjxkzBgDwjW98g7vdN77xDfz1r38No3kEQRDGxNLo1WJV5SNSzAzaeCFaUWCGpRvabdbGcO8hb7v8/HyucZabmyuciOzbt08YfiHLMh5++GE0NzcjLS0t6oYWqz65ZcuWkO+0k1fWDvZfVk1TiyRJyM7ODrpGsiyjtLQUBw8eDPq9oigoKSlBeno61q1b5/h5KoqCmpoa1NfXo6mpCfX19ejo6EBpaSn3942NjZgwYQJefPFFR9sRDvv378fcuXOxceNGy9dl0qRJER9XURSsXLnSsLIm7xnQF9FhxnZtbW2fURUJF1vG9j//+U9uNjNbAjvvvPO425133nlRi+UiCKJ/IPKSxsro5RFtiSozYzGeGK0oWGl3LLzeVlY9wr2H+u3y8vKEHlPRRCQ3N5f7bly7di06Ojrg8/mE1RBXr15t2D5JkrBu3TpL56J9ZpjShf57po+uNbaXL1+ON998U2gIsmtUW1uLLVu2ICsrC93d3dxwlmjZCB6PB5MnT8bUqVMxfPhw9dhZWVm49tprudsEAgFUVFREpT3RRJIkPPjggxFtz2ArM62trepn+mdW/wxMnDiRO+HU6n73V6ioDUEQrscsAdKKtF204MUeO6WM4ua4cCMZQLN2xyqh1apUYbjx4/rttJKCerRGvlEyocfjQUZGBrxeL/bt2yc89le/+lVkZGSgvr5e+Jvu7m6hzBxTt5g0aVKQLGNLSwvmz5+PJ554IkjuTqSPPnfu3JB9K4qi3mt9Uh/TXY6FA047ibBTiRNAVNtXW1uLkSNHRhzrzuOVV14Je1teoaDp06erEw/eM6t/BnhFbJKSkoL2mwhyqU5DRW0IgnA1Vr27vCIh8cDJ8Il4hciIvM4s9IEZgfowgaKiIni9XsN2R9Nbr293rFc9mKdv/fr13O+TkpIMqyvaad/q1avx7LPP4vbbb8d///d/o6ysLOias1jr4uLioHu0fPlyNZSioKBAfWbq6uowfvx45ObmYtu2bQgEAsjJycH999+PgQMHIjk52bTgjZa2tjbuvea1ySgenX3H9K61nxmRmZmJhoYGZGdnu6ooDgC88cYbEWl1M/TXjoXkiNBeQ/3npaWl3PurKAoKCwuDrp/RGFxeXh60n0AggPT0dFRWVuLw4cMRFV1KZGxJ/33729+OKEnjnXfeCXvbaELSf4RboX4ilkVzo4RUNOQArWhSO9lPRF7nurq6IDUESZJQUVGBU6dOoaSkRJWQ0/6e1+5I7ifPI8Y+a29vF+plW5EZDMfbJtpGdI5LlizBpk2bQowsJjU3efLkkNLt4Wg6a6mvrzfVErdyHKbhvGfPHvT29pp6h2VZxj333MMNZdFL2u3du1dY0Ed7bQDg6NGjQSohRrDkyxEjRtiS6xOd24oVKyyH5oR7DKusXbsWw4cPt3xeRsdjzzJgvOqih/fM6scJM/qC9rbjOtt6pRE7SJJExrYGMqKs0x+XnBjUT9ylZ21GtCYGZsaiU/1EdK0bGhq4agja6nra37N7w2t3uPeTNwkAxMaBnT4STliLfpvi4mJMnDgRl1xyCU6cOMGVyeOV8xYdr7W1Fa+99ho+//zzsLWUZVnG9u3bMW/ePMPrbaTzzdvf7t27ceDAgbDaxLsvZsfXPj9W26pl1qxZ2LNnj61t9MYpew7shH54PB7cfPPNeOqpp2wd28p+maa7/lmKRFu8sbERf/vb35CRkWG6D9595D3bVnCj48QOjutsv/vuu2E3hiDCwS0V+oj4YaWMuFuwW87cKrHSpBbFWh85coT78uUZj9rYbF67w7mfvHCEZcuWqf/Pw2psOwsx0OoXFxYWqjrtIm+6vj3MMyvSjL7qqqu48bQPPvhgyJiWn5+PnTt3GrbbCoFAAHfccYfhPQL+pShiJY6ZF6NtFdG9ZtKGvOPrnx+zcuc8nnrqqbCMUHYc1u7hw4dj/vz5lgrsyLKMWbNmYdeuXZaPZ6WN+mtYXl4e1H/D9ZYHAgGkpaVZagMrC6+/j7zxwwxZlvuF9jbFbPcR3KBn6zSiF6w2O5roH0Rb9cMp4qmM4gSiWOspU6YIYz3DiSnX30+fz2c4fok0j41e7FYnOS0tLVx1jKNHjwrj742MCt4EBBAnrg0ZMiTo79bWVkcMbW179MiyjJMnTwbFtldUVEQUJpqTk2O4/dq1a7nPLtMZF5WjLyoqQmdnJ/x+vzrx0cd8z5o1y7BtiqJg8eLFtmLOFUXBgw8+iDVr1qChoQHAWS+y1UqWiqJg165dlo1fSZKwbNky4TVctGiR2hbtNfT5fI5qsPNWXvR/NzY2csdg3vhhRn5+PgD0OftFj60wkr5KooeR9FXvr2i5kMWX9YVzNCMaYST9OSwnVsS6FLnT4wkv1loUsw3ANKbc7Hhm45fd2GU77di6dStWrFgR8vm8efOwY8cOYUn2SGOptcdPTU1V+8mmTZtw7733RrxfPcxLq/Vc6sdSv9+Po0ePoqWlxVbxFrMQC1FIj5WwA227Aai5AUxJpa2tTc0ZMGofu29Hjx7FXXfdZXpO2hCpSOOrraK/N0yn+vrrr8fzzz/PfUbCCauxwzXXXIPXXnstyMNv9Fxpxw8z2H00yidIBByP2e6rJJKxrTeUEime1S5GA3FfOUcznDa2++rErD/j9/tx8uRJDBs2zLHnQTRZYMYYgKBkvnAnF1bHr9bWVqSlpVna59q1a1XpPCvs27fPVvIcS+5zytgGgo1eO+dqh1WrVuGb3/ymWtlPe+xjx44FXa/KykphwiKv7SUlJZg4caLQ6CstLUVBQUHI55EYinZiqLXHt3u/reJk8iRDZORr71m4cdLhtKWkpIR7H/WwcULf17TwiuCwzxPt3W7F2KYwkgSCt6QZaalqN4ef8GSEGLEox93XcHOBFCI82Jjg8/ksyWhZfd5FMoperxeZmZnIzMwM+i5c2UUr41ddXZ3Q+NQvn2s1qq2SmppqeRmehaZUV1c76ulk8mp+vx8pKSmYM2dOWPsRlUgHgPvvvx9//vOfuSEzjY2Nar/w+/3C6oqitpeUlAjlDoGzVQ15fS+csAMGyyWwYmQ6UVXRjO985zthn4sIUR9jYU7A2WfP6sSIh0gOkHfMsrIyS+8Lr9eLCy64QNh+VlGSVwTH6N3uZnvFDDK2EwSRocTTPrUaq+iGcso8tA9UdnY2GhsbuS/V/pBU4SSRTswId2F38uSG513/sjTTEWfnKGLBggURx8fbiVdmscGbNm2ydQwraA2oqqoq7Nixg1sGXYQkSbj88stx0003cb/v7e3F73//e+53K1asUPtFdXW1bS+poig4fPgw9zuPx4O2tjZu39PnONhlypQppgauVt/98OHD+M1vfhPWsYyQZRmTJ09WC/awz2LFxIkTw95WlGPAw877giXd6pEkSV0Vs1NHwA3jVySQsZ0giAylnp6esBKy3Orl5D1QKSkpqKioSNikM7cQrwIp/YlYel7sTJ70RT2Y4oaT7TQqhCMqZmGWUGqmbnDHHXc4kjibnZ2Nmpoa09/t2bOHm1DpFJ999pl6DW+44Yagcc+K8Zabm2tYUVIUh61VYqmqqnIs4Y4VOtKGCrB3TWtrKw4fPqyWpA/3mPrCSj6fT71WrD81NzerfW/Dhg1hHWfy5MnCNubn56O5uTnoPHNzcx1NXNTCDFYGi0e3wne+852wj6t/XxiNd16vF4sXLw75nFUXZb+xYr+41V6xA5VrTxCMJMWmTp1qu1S1G8tAix4on88X13LcfYVwJfQoodIasY6HtyMzaKS44cQ9NSqEw9PB1j7bPp8PmzdvDvJ4GZ2jlvT0dFXfOlJSU1NNJeVYMRerEm2zZs3C7t27g67LmDFj0NTUhHXr1oXsY+XKlSHXkI17J0+e5MYaT5s2DS+88EJYEwDeeQQCAVxzzTURlf1mKIqCkydPct81PN12EVdeeSVef/31kM9bWlpw9913h7wbtDkEQKgWtRGiPvDGG2/gySefDJFSlGUZl19+OX74wx8Gfb5lyxZLx7MLi+/X5kvYCfsJt96J/n1hZbzLy8tDVVWV4Rhl5d3uRnvFLpQgicRJkLRSSc4qbkysTKRKgbEiWmokVictbkuodKvhH87zxEt2tntuVscEUVJYbW0tMjMzrZ2kAKNCOGbJa0uWLFFfxqL+pT1HkYY1IE7gEl1X3udmSgqSJOHBBx9ES0uLsEhKTk4OsrKyuIafPgmReUJ556XvP7zrLCqUEwmiaxyJAR4tNY+mpiakpKQY/sZJtY76+nocP3486Jm74oor1PCfaCJJEhYvXoy8vDxbBYGcgCUdA2cN3zNnznAnHY2NjSH3wwm7xY32ihZSI7FIohjbgLOSYk4a707g9gcqHsSzgqTb7ofbDH8tdieK+nOZPXt2iAfU6rn5/X58+umnGDp0qKFhr1fP4KlQhIPo3NesWYPVq1cbbsvzzIsk4oy8u1q0yhO8PuPz+VBdXS008v1+Pw4cOGDadtH5dHR02JrESpKEW265hVtlUN9/9OeTn5+PjRs3Co8TK8m6eJCRkYG1a9eipaUFAILkE7U4UfIe4FdGPX36dERFfuywYsUKzJ8/P2jy1dnZieTkZFtVLcNhx44dOHnypGkpd5Esr95u0U50AVhyMrjNXtHieAVJIr6E69UTbee20Ix4VAp0q6fUDbhp6c4oxMgN981OSAfvXLRFTOyem9frxdixYw0nZSwJUG94OnHtROfOCuEYGTlW+xerROn3+01DPUpLS5GVlQUAIde5sLAQQLDXVn+9vV6vJY1gBmsP0ww2W8lITk4OapeiKFxDm9d/Tp06FdT2YcOGca/HokWLcPHFF+P888+3JNVmhtE1N1ptiCZDhgwJMqJ5muEtLS347LPPHDleUVFR0L1VFAVtbW2m2916662OlGtft24dHnroIRQXF+P48eN4/PHHVc3xm266yTBWXw97LmVZRmFhISoqKgyfqfb2dqxfv97UoFcUhTt2aSvJ6ieabDszJ4Pb7BW7kLGdIITr1TPbLlZloK0SywfKzZ5SNxCt0uPh4CbDn4d+osgSw3ge2v3795u+tKJxbk4/W9qJanl5edCztGHDBrz99tumBpjeGNcrkegnwkzmzEjqLBAI4Pjx41AUJeQ6i9rT29uLAwcOqB76kpIS0/NnzJ8/H48//jgCgQBKS0sxaNAgbiiM1sCwcl30jga99nUgEEBZWVmIoTVhwgRs3bpVPdaECRPQ0dFh+Xz06AuPaFmxYgUuvPBCblGgcLHqjddXclQUBUuXLsWYMWPw9ttvBxVgcgImHyjKQxDx5Zdf2i4vLyIQCIT0/UAggGeeecbWfhRFQW1trZojcf755xs+U+eee67l9huNXXpHg9Gkl4fb7BU7UBgJ3B9GEu5yvtvCANxEolybeIaRAO5ZukuU+1VZWalWs9NP4Oy8pO2eW6z7CS8MhpWmZrHTPONMj9azpa9WKZoIm8WoaqsF2i32YSU0Q99+VmVQuw9t7Go4RUeYl9bn86necFFCoRXjdNGiRRgzZgy6urpsq3GsX78ed911V1DfjgZTp07Fr3/965hVagSse+NZeBBgv08BZ68/mwBFC7shQ9p8jaKiIst93gyjsctKfHki5mhRUZs+Qrj6yFa3S2Sh+HAhzWlrZGdnOyKtFilWJaLiCVMF0MqoMXkqvUdHi8fjwZw5c1x9blpEYTDsvBVFsWRos99KkqQWucjOzhaGDDGpuDNnzgj3p712+j5jpXiHkfSdfnuWsMZTWklLS0NRUZEaysC7FkZSfqzIDZOrM1LusGJgbd26FbfeeitWr16NrVu3Cn/HO28m0xhNQxsAXn755ZiFokycOBFPPvmkJWk+SZJQXFyMzs5O4b00o6amJqqGNkMreaiVBjTC7/c7phtvNnaZFTHqy1K0FEaSAIjkr9ra2jB16lRh3LGVMACroRR9LbbZTSESbsctS3duj9kzmsDxQhqAs1Jvl19+OVJTU7Fq1SrHzy0az62Z9jUAbriELMv4yU9+grVr14b89o9//KPh/q1IxWmXxdl5+3w+tLe3ByVEMiRJwjXXXINf//rXIe1ZsmQJNm3aFBIP7PP5gsrVAwjZL2Pjxo1CbyFTa+np6UFbWxt3cqJVGTE6bysezUAggN/97ncYOnSocJucnBwMGTIE5eXlQd9Fo3R8vGlra8O8efNw2223Yc+ePYYx+nYmj0b7iDaKomDr1q0YOnQokpKSkJ6ebvj7r371qwDOPm9OtI8plhiNM/pwO97KltvGdacgz3YCICrHWlZWxi0Uod3OyBtoVSg+0Ss38UgETykRSrhlwWOBUdEg3neSJGH9+vXIzc3FhAkT0NzcbOncrK5EiZ7bSFeyrJTY9ng8KCkpCXq+ysvLMWfOHO62q1evVtso2r+ZQcDUWPTnvXfvXq6hLUlSiKHN2jps2LCgz0pKSpCdnR1Srp6NI3aqBbKY9pSUFEydOhUFBQVq4qYZPE8sWx1gbWcSbfpzev311zFhwgTk5uZyr+W2bduwYcOGPqteoicQCGDPnj2oq6vDmjVrcOONNxr+1u0wGcjRo0fjD3/4g2mb77jjDtTV1dkqiCOC9Ts20TUaX7SrpceOHcOxY8fivnIaCyhmG+6P2QbEsU68BCN9vJRILtCKXFmixMqGi5NSitEg3jHbhD2MYty13/H0ka08V6KVKH0/ET232mp+kSQF689z1qxZqodQe96858tIy5pdg7179xombIm2A0Jjau0kp+mvkX7/onvT2tpquUjL6tWr8ZWvfAVXXXUVUlJSLMd0ezwe3H///cJkRK1nX6vhLTon4izRkkecPHky5s+fH1Lsxim+/vWv409/+lPI53bOh00S7eY1zJ8/H0888USQBGVeXh6am5v7pegA6WxbJBGMbVFBA95DYjXBwIohTYVm4gsZ24mH0QTOTC+6trYWF1xwATfsw+h51Uv/RTI5D/c87UxcjbSs6+vroSiK5UId2pe61fPmwZbBOzs7wxrz6urqbCtgzJkzB7fffrvpubIJjM/nE2pGp6enY/bs2bjooovQ3d2N5ORk9PT0YPTo0cJziiWSJGHBggWqZF1fwKxfybKMcePGRaQG4zbS0tKwZMkSJCcn48CBA+qqkZXCTH0VSpDsQ/DCHoqLi7nLly+88ELY+9SHUhgtjVvBieTL/pjAGQvouoaH2XUzCnVh37HS4FokScLChQuDwj60x7KT1JucnBwScsC86Va2t4L+PO2E+Hi9XsycOZM7tiQlJeG3v/2tafKaLMtYsmQJOjo6VO9ZcnIy97fLli1TxzlZlkP2zZbBT5w4gaqqqpDtrYx52dnZOHjwoLDdvM937tyJM2fOGIahSJKEoqIiNYxl2bJl3N81NjYiNzcXaWlpmDlzJtLT01UJNiuhP9HkyiuvxMGDB3HPPff0GUNblmUcPHgQTU1NwnseCARMDe0f/OAH3NCfeCFJEq688krh901NTWrS7qZNm4Jk/JwcX/oaZGwnEHpliIKCAu5S64YNG1BZWRnWPrVLPuwFX1hYGJTlbDW22YlY774YL+4G6LqGh1PXTT/R1S/nsgIs2mO1t7eHvNQlSUJSUhIOHTqkGv91dXVIT08P8TDxJueyLOPkyZNRm3AZTUy8Xi9mz54d9NkVV1yB6dOnY8WKFVyjTJZl7NixA/X19ejo6EBZWVnQWNTd3c1tx7Rp09RxrqOjAxUVFSFOhrVr1yItLQ2NjY0h2/M003nn2t3djZKSEvU6y7KM0tJS1NfX40c/+hF3u+PHjxuqpiiKgrKyMvUafve73zVsB0Obg+P1erF58+agc87IyLCkxuEEr7/+OtLT0/HQQw9FZf/jxo0z/H7RokWOHk+SJJSXlyMlJQUpKSlB/cnufhYvXoxt27ahqakJd999d8zuCQ+Px4MtW7aokwijaq0845q3v9GjR5NjBxRGAiAxwkhEiJZNrZYNbmhoQFNTE9LS0nDDDTeon/M0gZl+rllFMiZ3tWjRoohivft6vLgVohFGQtc1PKJx3eyUIefFebPPtRUM9bG5Wt1nbby0neptrK12lE1EpdLZPk6cOGE5zlkLC+fQVmTs7u5WSz/zwiy0JdwZra2tOHLkCKZMmQLAWHVjzZo1mDlzpvC89UVrFixYgP/8z/9UY6iBs2Mtr7T3jh07cMMNN6h94YknnhCWbh89ejQ2btyI6upqgysUut3UqVMxePBgvPXWWzh+/LiqVhHrGO5oxEenpaWhqakppsflvV/9fj+OHj2KhQsXWrquVnT4oxVPzoOFUQ0aNAhvvPGG4fMkQqs7zyaxAILGgcLCQgwePFjNWegLUMy2RRLZ2Pb7/cKHQZ/oqH9RpqenqzJWwNmEjsbGRsOEHTPjwqxwh51Y774YL27XYImGsd0XrysQfXlKUeGHSK6b1mAMx/DUYyWPQ2QUGD3bdqut8sYQXgGYcM6vo6MjKBFL+52ouqTeONKfz/jx401VGUTnLRovtb83Ghe1v9NXidSSkpKCtrY2W9dPe0+1Y4mV4iLRIhwD0qmS505SW1sLRVHw2WefYciQIUhNTQ1JTjXj4YcfVhOJo/G88PZllJzd3Nys5h0wuctTp04ZJiuz+6nNK2C5G4BxEaA5c+Zww7YSDSvGNulsuwy7BoPX60VJSUnIw6CNMeS9KIcNGxZkaAPA0aNH0dDQgAEDBggfDjulWPXY1bHua1rYbikP39euKxD9aysq/CDLcljXze/3B2k/y7KMadOm4dChQ8JtrCgH8PSt9ffW6/Uaxn/zEjN5EqFGZZWrq6sNdaPDhY1zvHEmEDhbLp1HIBBQz413Plbkz0TnLSp0wn4/ZswYw3ExEAhg2bJl+PLLLw3LxLe2tpq2UQuTGATOGtdXXHEFBgwYAAA4c+ZMTL2m2jbplSxuuukmPPPMM4Zt+eijj2LYSmvcddddIZ+lpaXhueees3xdCwsLMWzYMPz+97+PyvMCIGhViRnBzc3NIapJJ06cwNKlS4OOX1hYiGPHjgGAsKgR++zGG29Ux1ytwILReLVz507k5ub2GQ+3ERSz7SLCjQfNyspCTk4ON65a9KI8cOAAd1/PP/+8YTKNkVFmVOwiHB3rvqSFbVXTPBb0pesKxObaigo/5Ofn275udXV1GD9+PDZu3BjU5hdffNHwuSsvLw+J8+bFcOv/5t1bO4nPIsP86NGj3DhMJyvSMVjsc0FBgeE4I/pcOymyUpQHAL71rW+FfKZP+Kqrq8PChQuF++jt7cWRI0csFQESxanb4dJLLw0KD3r11VfVd8rFF1+MyspK3HrrrZg7d27QsWIRJ8yM+23btiEQCCAzMxONjY3Ytm0bjh07hlmzZgm3fe2116LePidoamqydQ8VRcHcuXNx7733Rnxsnk44CyFjybUsgVmfqwXww6gURcETTzyBrKwsw+Rf4OzqWUNDQ9BnVhJzW1paLJxd4kPGtksI12BgBvq2bdugKAqWLFkSVPZ4//793BflpZdeyt3fddddF2KMMcIpxcoKd4QrWO+WcuGR4rby8H3lugKxuba8vi3LMvLy8mzthz3nvBdyIBDAtGnTgj7LyMgIukfZ2dloaGjAmjVr0NjYGJSYxdqnN6J8Pl/IsXgJmqIkQNFzrVdOYbS0tDjqMV27di06OjqQlZWllmu3o/jBktnYuVlV5nj00Ue59zwpKQmA8b1keDwefPbZZ6bHcor3338/qOrkzp07g94pxcXFaG5uDtkuVh5u7XH279+P9PR01NXV4cSJE9izZ09M2hBrYpXw+Itf/CLks+LiYqHXmBnfAIQKNwCwbt06TJgwAW+//bZpIigrlKM9Bs+W0JKamir8ri9BMdtwR8y21ThabZgJwC/gIIppZLD4rLvuuosbs609FkumYXqtZl48XsGK/iRuLyLc5DrS2TYnVgmfRgVrrGIUK8uL0dSfhyjp8NNPP0VnZyc3ydIopryyslJdHjZ6Tq0W5NHGfDqBdr9GoRhmNDU1qdrT3d3daG9vR1lZmXo++v1KkoRjx44FLbcz2HUaNWqUMDmdislYh6fP3Jf4wQ9+gMceeywux2ZJtdrQVH2oqtX4fW3hqMbGRqG6jlFhvZqaGtTX16uf96eYbVca2x9//DF+9atf4aWXXkJnZyc+/fRTnH/++bjiiiuwcOFCTJgwIWSb06dPo7KyEgcPHsTJkydx4YUXIj09HUuWLFHj1ES4wdi2YjDoX7T5+fnchK1Zs2bh6aefFhraWiOhoaEBzz//PK677rogNRIriOLLedXUSO0iPGONjG1rOGEIWyHSiqNWqwVq0apvGBW1eeutt2xNOuxOUqwU5LGqxGAFbcKV3WumRx+fzJIpJ02aJDwfdt1F41ldXR3uuOOOkP1u374dAwcOdE0xGSJ+SJKEgwcPOpL8bBfWx9lkWpIk3Hbbbdi9e3eQetGIESNClMNEaCfu+fn52Llzp+nv9HZCa2srWlpakJqa2mditRO2qE1dXR3uu+8+dHV14d///d9x5513IiUlBc8//zzmzJmDX/7yl0G/7+7uxrx587Bt2zZccsklyMnJwejRo1FbW4sFCxbg73//e5zOxDpmcbS8MJOqqiruEtWePXu4D87atWuDQkwOHz6McePGYd26dbYNbaP48u7ubhK359CXQjfcRqyurZ3CLXrYS6e4uFioqaxHG0dtFi5jNxbfbviNUUEej8cDRVG4447dZXRJklBbW6veR6sx1kboxyOWTJmUlMQ9H63+uGg80xvabL/z5s1zRTEZWZYxZ86cuBybOHv9KyoqkJKSgsWLF8f8+IWFhUFJjaKwotzcXNUYN+P06dPq/1dVVWHHjh3cAlFJSUk4fPgwKisrQ+yElJQU3H333YaGdl/U5XalZ/vgwYMYNGhQSCzP66+/jpycHCQnJ+Pll1/GeeedBwB45JFHsGnTJixatChoaWP9+vXYsmULli9fbhhb6QbPNvAvfWpJkoL0WQHx8nNmZib2799vejy91m4kyg1mHjHScXYO8mwnBmYqQvpnzsyrCoSGX1kt127V+x7Jc8pbSbDigRZphWvRLy3zPMtOweTNAAj1x3na5WZ4PB40NDSoISsiJYdosWTJEuTl5eHEiROG+uFAbMM4JEnCrbfe2mfjs7Votd2NJHqjdewRI0aYavdrkSQJP/rRj3Deeefh//7v/7htZc+LVi9fr2wya9Ys1Xuux8r44hbVLjskrGd7+vTp3KD5K6+8ElOmTMEXX3yB9957D8DZAWLPnj1ITk5Gfn5+0O/z8/ORnJycEA828xTn5uZi4cKFIUksIvWAxYsXC2ek2t8HAgGkp6ejsrLSciKmaHYp8ogdOHBArVbWl9QuCMIIMxUh3qpUWVkZRo8ejdTUVOHzW1NTE/SSsfpceb1eNYTBzDOUn59vqzosGxN8Pl/ISoJZMhSb8OuTOvXnv2fPnqBqmJEa2kYeO0VRVHk+dq21kwF2r7SrEVY81b29vZg+fTpmzpxpqFEsau+iRYvC9oivW7dOdS7t2LHD9PfMq7l+/fqoe+FvvfVWjB8/PqrHcAulpaVqP/Z6vaioqLC8ysPug9HvV69ezf18x44dpoXneCiKgnXr1gkNbfYbfWVbAOpY0NDQIDS0gWA7gYebVLucxpXGthHnnHNO0H8/+OADfPLJJ7jiiiuQnJwc9Nvk5GRcccUV6Orqwp/+9KeYt9UqVjqY6EWbkpLC1WaVJAnbt28PeljZ0qmVpWOtATF+/HgUFRWp7REtja5evVo1NqK9rN8Xl5kI54l2P7Hy7JppWvOeX4/Hg8mTJ4d87vP5sHnz5qAwCz1WJETZbzZu3BiiYiRCv9/m5mY1LpNdY/bcr1mzJmT7QCCAnp6eoLFhy5YtwpAzv98fcbJlU1OTqYJCb28v0tLSsG3bNuH3kyZNUtvc2NhoySjVttuuHFxNTY2qmW7mmWawkKQVK1Zg/PjxGD9+PH72s59Z2jYQCOBvf/ubI2FARuzZs8cRmbtEgGm7A2fHiffffz/oe9F19Xg8aGxsRH19PY4dO8YtNe/xeHDbbbeFhAnNmTNHDQk1msgbYdZXteFibLwDgKlTp6K7u9t0BUhrJ+hxm2qXkySUsf3HP/4Rr7zyCoYNG4bLLrsMAPDhhx8CAEaNGsXdhn3+wQcfxKCF4WG1g4kM2KysrJCHSlEU+P1+bkwhL8ZKq6+rNyAURcHGjRvVB8TIg6U1NiKJbzUiXD1you/CM6pj0U94xVuYBjXDTNO6oKAApaWlph5ms9Uv4GzIRWFhoaHxz3u+H330UcPzFE0qeDGZXq8XU6ZMMRxnzOK/R48eHbGE4Jw5c5CSkhI0bvJiTM1g8dvAWYMiJSUlxPExZ84cW55vM7RxtmalyBnaJNBwCqL85je/4X5+/fXXW/K06rnyyittHd8KkiQZ6nG7CUmSkJSUFKSrz5uA6QUfZs2ahZSUFEydOhV79+7Fli1bQvY9ceJEtLS04Dvf+U7Q51dffbX6/7zxIRpobRWrOQoij7Ud/f+EQ0kQvvzyS+WOO+5QLrvsMmXfvn3q5/X19cpll12mbNiwgbvdhg0blMsuu0w5ePCgcN+9vb1ON9cWLS0tiiRJCgD1nyRJSldXl6Xtm5ubg7bV70f7t8fjUdatW6d4PB7175qaGsv783g8aru6urqUDRs2cH936NAhpy+TekxZloVtIvofNTU1ap+QZVmpqamJaj/p6upSmpubuc8t+8fawdqn/Z32O/1+Dx06xG2jlfOpqakRPrfa51H0fBs9s6JteOPLqlWruG3lnTNrN2882rVrl/B8rP7btWtXyPVcsGCB5e0lSVLPUX/f9PeL/W3UL/T7dNM/N7YpkdsZbnvZc93V1WX7WGzblpaWkGdQ9G/evHmWf8s7H944pH2eH3zwQVt2gmg8SHQSolx7IBDAj3/8Yxw9ehSzZ89GZmamo/v/4osvHN2fFVjiW11dHXepVFEUHDx4EKmpqUGKJC0tLfjss88wZMgQ9bthw4ZxtWLZfhhaSbQbbrhB1dDu7u7GW2+9pR7HaH+9vb1oa2vDgAEDMGDAAKSlpXFLfw8dOjQqiX1vvPEG15PI2tTX6CsJkmYJhJHs9/vf/36QxzUvLw+bN2+OSj/RJu8Ylbtm7bj44ouxaNGioN8FAgFMmTIl5L4OGDAAQ4cOxRtvvIFTp04FXacHHnhAeD6nTp3C22+/zV1uBs56WrXPI+/59ng8+Oc//4n6+nruPRKNCfrz7+3txdq1a0OO39DQgJSUFG5fnjJlCjZv3hyUGP75559jyJAhEZcUv+222yBJEkpKSlBQUAC/329rhUN/3/Ly8jBlyhR4vV4MGDBA9Up+/vnnQX+XlJQIY7UjOZ9oEut2eTweZGVl2c6pcrKdPG17WZZRWFiI8vJyR45ldx/suQ7n2L29vbj33nvx+OOPW95+8uTJuPTSSy3nFixevBiPPvpoUHL0gAED1Gc7KysLU6ZMCUrS9vv9lu0E3vZufwdaSZB0vbEdCATw05/+FM8++ywyMjJQWloa9P2//du/AQiWpNHCPh84cGB0GxoGZhXIcnNz1WxcACFGuTaT3ixOSvvCA84u42oLRWizflmYCK+IhH5Jh/1Wr0wQrWRItsykf2j7xDJTHyWa2eWiECxJkhzvJ7zwCyN6e3tx8OBB7u+OHj3KDRPhXSej8uc1NTV49tlnDZ//+fPnBx2L98zOmjUL6enpwnuk38YOLFabN+HST14WL16MvLw8dWxyytgpLi7GRx99hJtuuikiGUFtrD0Pdo5ZWVkAYDs5sr8gyzLuvvtunH/++XFrg1ZFhzmeurq6oCiKKtCwYcOGuLSLjVPhTDZFuQciCgsLUVNTY7lteXl5yMvLM1Q88nq9pmOOkZ2g374v4ErpP0YgEMBPfvIT7N+/HzfddBMefPDBkDjh48eP44YbbsDUqVOxdevWkH3k5ubi5ZdfxgsvvICvf/3r3OPES/qvvr7eUsEDp6SZ9ELzeikiVjVN60mvrq7Gpk2bTCvMRVrsww6xKmDiBhLdsx1tGUij/eslqSLtJyL5TdEL0ePx4P7778eKFStCvqutrQ1aoTM6j0gLo6xfvx533XVXyOfaCrHM0NYfW3+P/H4/Dhw4wFVCEF0HvXyetvIlTyrQ6ngXjiGSlpaG559/PiKDu6mpSXVaaCcQ2uqZzBHy0UcfYd26dWEfK1aIVjKjwXe/+1288847cauqecMNN2Do0KEYMGAAbr31VvVe6id+QHy8/UVFRZg4caLap5YuXRr1486aNQtPPfWU6fnqZTntrljq7YRorXjGmoSV/gOCDe3vfe97XEMbOJsAeeGFF+KNN95Ad3d30Hfd3d144403MGLECKGhHU+sJhMoYSS76GHJGgxe8pGiKEGJXbx2iIhWMiQPKg6TOEQ7u9zr9WL27NlBn82aNQter9fxfsJ7XrVFabT/z4x7/ZjEfqdXGjG6TpEWRhkyZAj3c/bM8hQERPfI6/Vi5syZ3OvwyCOPcNtZWFgYpILEkqNaWlqEoW9Wxjtm1AL/SlI0u05NTU3Izc01VCcxo6enBwCwZs0ajB8/XlVsWrp0aVCC4tKlSzFp0qSwjxMr2GQoVsV3fvOb38S1fH1DQwO2b9+O6upqpKWlIT8/PySx2Il3rl1kWcZdd92FkpKSIFm9N998M+pyiXv27AlKrhSxa9euIFlOuwnoWjuhvwkduNLYZqEj+/fvxw033IB169YJB0eWndzd3R004wLOVjjq7u4OeRm7Bb2qh5MSS3oURUFaWhrq6urg9/sNjWoA3Axq5f9pbLpBbi+Wxj0RPk5nl+tVR/x+P3bv3h30G61Os5P9RP+8svPSvqC11Q99Pl9I2BtwNp5X3x6j68SOG44xxDPs9di9R83NzdyJ+tKlSzF79uyg61NaWoprr73WMNTH6nnwxkdFUVBbW4uGhgbcfvvtqmSaKH4dOBt6U1RUJNQpNoJdl5ycHGzYsCFobOTx0EMPwefz2T5OLPnJT36CrKws174no83OnTsdK5q0fPnysCdygUAgSAqTTUr37t2LY8eORdw2M1599VVTG4Q55CLVw+7LetoiXBlGUllZiY0bNyI5ORnz589XNbW1XH/99arsTXd3N26//Xa8++67mDp1KsaMGYO3334bL7/8MsaNG4ft27fjq1/9qvB48a4gyZZWjKrJOYnR8mtTUxOGDx9uWAlOvwRORI9EDyMBnAv74cU0jxo1ihtioQ2ZihT9UqfZ88qOLQo7EbWtsrJS9QBrrxM7/pkzZ7B7927U19erv5k1axb27NnDrd5mJz7e6j0yq+YoSRIOHjyInp4edaLQ2trK1YpuamrC22+/LdTSZqENrD1ffvklNyQnJycHTzzxRNA5Dxw40HAs9Xg8WL58ua0QD9aOMWPGWNa+1pKeno7Jkydj7dq1jnlN4xXuQPBhybgjR47En//8Z7S0tERcVC/SJGE7WKlIvX79evT09HD10q2Ou3bHRreTsAmSbHbT3d2Nxx57jPsbr9erGtvJycnYvn07KisrcfDgQRw5cgTDhg3DXXfdhcWLFxsa2m6AJQPwMnajgdGDe+TIEfzud7+L6TJfX4nbIvhkZ2erSUjhxvSLPCENDQ3CREgn+pUoadEow555hO0k89bV1amGtiRJWLp0KUaNGhVkgDMkSVLLcXu9XqxatQqffvophg4dqv7NrjVw9sVmdg3M7pE+f0OEoijo6uoKmowfOHCA+9uenh74fD48+OCDXCO6sLAQ06ZNU9uzb98+7n60yguBQACFhYXC9jF6e3vx7rvvmv4uJycHd9xxR9Dk4b777jPdjsdzzz2Hr3zlK44aTn3ZyI6lkekUiqKgpKQkROEk0n3GAlaRmk3mRaxcuVJYit3qimW4QgeJbCu40rMda+Lt2daifbm7EX0SZaREU6miL9AXPNtOYOQJOX78eIhXFkDE/cpKcqeZR9iKx5h3HDP07eD1EyN1EysvLPa79vZ2lJSUWH7paxMyeYnYQGjSpNk5MtnThQsXxsz4uOGGG7jlzrdu3cqdHBD2DeTbb78dP//5z6PYIvvIsozt27dj3759EXulncAoAVu7smXVUceevePHj6srQtqxae/evSFypVbaoh/bjMYZNnmvqqoKOb4IN9sKVjzbZGzDXcY2AOzbty8m4SR2sdLBRQ8Y73OekSHLMhobG9UM8f5OuMZ2InsAeJgZvtosdwCOKKBYXeo0U+Ix+150HDO07dD3E9H1KioqClEFEZV8D3fSP2vWLFRXVwM4G8PKkyKbNWsWnn76adP9s8kUTyXCisHOyMnJQV1dnS3Zwh07dmDAgAHcsWzcuHGW9xNL4u0NzsjIQHd3N5577rm4tcEOLOxD+0zMnj1bDcWyuo9oXXNRmJBeO56pClmJPWdKOWzirR+b9u7di4ULF1pu49q1a5GRkRH0jBgZxvqxJTMzE4sXLzZ850db1SpSElqNpL/CQmhilRlulZycHHR0dJjOPHnZxaLPeQoMgUAA06dP7/OZydHEiSxvXvnzWKI/vj45Ua/Tqk2EdEoBxWrioFkSptn3ycnJttoFnB0fjJZcRdegpKTENClJH7Jjl6effhp+vx+VlZVCzd+nnnrKdP8ejwdJSUkh2uaSJGH9+vXYsmULsrKyQpJWeUleo0ePRnt7O1cCkceoUaNwxx13YObMmRg3bhwqKyvV77xeLzfx1YhYjedjx46NyXFE1NfXJ4yhDZxNVh40aJD6t6Io2LVrl62+v3jx4ojUbYwQGc+KoqCsrEx9dhVFwfDhw1FRUWEpyZE99/qxiRUJE6Hft8fjCTK0/X4/9u3bJ0x+5I0t+/fvR3p6uuF7KtqqVrHAXRZdP4cZSbm5uUGyVm7AzGATxdS2trYKHzyRpJl2MIg38TY67eJElne8JZlEx7cq5eeUAoqZgW+nbxj9licPaIaiKGhubhZ+z7sGsixzKz7qX1i8F5sdAoEAjh49ipKSEuFvREvUrM3MC79p0ybuhHzFihXIzc1V5dFYv+jo6OAet6ysDCdOnEBHR4elc/jggw+C2lhcXIzKykr1PmZlZaG0tNTSGC1JkqE6ipO8+eabMTlOX2HAgAEhkzk7XmpZlpGXl4f29nasX7/e8Xf2ggULhN+xapHasfLVV18N+o2oPSJDtbq62vDZX7ZsmXA81NovIsNYNLaYvaecVrWKB2RsuwRRdbr169dz4wZjjdksUjTzPHLkiPDBM5I0c8OsNd5GZzhE6gGItyST2fGtSPmZGcl2EBn4or7BjLHW1lbVuDbrR0Y62h6PB6WlpaitrQ36jaIoWLZsmXpdPvroI9OVgMLCQq5nSv/CuuSSS4QvaUmSMHLkSMNrxox6K0aL1riuqKhAR0cH6uvrUVRUhJKSEqEygl4eDYDaLyZOnBjy+97eXqSlpaG1tdW0TSKKi4uD7uOgQYOwbNky0+0URVHDasJFlmXceOONEe2DCOXjjz+OaGJZXFysVmNesWJFROEkOTk56vMgyzIefvhhDBgwwHCb/fv3B42VO3fuDClUN2vWrJDteM+9UaVaRkVFBYqKikLGQ7PVMHY8o7HF6D3l5JgeL1ypRtIf4RlJiqJgxYoVqKiowH/913/h0KFDMWuPPg7NbBYpWgo3yzrOzs7Ghx9+GFIWN96zVpHR5/P5XP2AR1rO3shYj8V5O3X87OxsjBkzBkeOHMGUKVMiygHQlw4W9Y1Tp05xlUOAUONQ2494pYyLioowadIk9b5pX6qMQCCA6upqXHrppdz4SK3CSFtbG0pLS0Oead4Ly+v1YsGCBdwQkFWrVmHNmjWG16u4uBipqamWErYeeOABXHDBBZg8eXJQOzIzMy0bLvr+wV7o0Yij1d7zSEJtJEnC9ddfj+bmZktx5IFAALfccgt++ctfJpxCh1uRJAnTp0/HQw89FPZ9HDlypDoeRFrxNCsrC/fcc09IhcVIFMoCgQCeeuqpkM+LiopCnvvOzk7TcwgEAigrKwuKlfb7/dzxiaEdZ4ycNmbvKSdUreIJebZdglFIxbJly2JqaHs8HpSUlNiaRYqWwgcOHGi6FF9RURGyHW8wiCWJGiMWqQcg3st1Th2/rq4O6enpWL16tWk8oF2sxEMzeB5efT/y+/0YNWoUGhoaUFtbi82bNyMrKwtTp05Fc3MzJkyYwNW0BYBNmzaZrgSMHj06ZBIgyzIaGhrg8/lCigQVFRXh8ccfDzmWLMv4+9//bnhtSktLUVBQYLlg14oVK7Bw4cKgkBhRZUm2H7csJ0fiEVUUBU1NTfD5fJg3b56lbUaOHInFixeHfUwimJKSEqSkpERczMdq2NWtt94q/E6WZSQlJYWs3EVS0AoQG/iTJk0KCW0z8jpr0Y5fbNWONz7JsqwW+GIecJFBL8uypfdUIhezI8+2S2APFc9bEksZQOZVmzhxIhoaGtDT04OkpCR0d3erCRU8eB5VlsQ1depU4YxUNFBZKXMcTcUN0fmcPHnS8Dq4gUg8ADwvayyX65w4frRXJXh9A7Cuh6s1DrWZ+eEobYiM+aNHj6rPhigR+cCBA6r0FlNh2LVrl/A8FEUx9MJKkoRrrrlG/VvbD40KdmnvT3Nzs6FOdklJCd555x3s3LlT/WzWrFlB97WlpSUm3l8naiI0NTVZ/m1aWpoaauBWadhEoqSkBF988QV27doV1vYspOrJJ5+09HsjGcFAIID09HSuOhBbpTNTGmHPMJMCBPhjksfjQVtbGzIzM4NWw6xWOtXWMRCt7rBxW1/8TrTq1B8UyEj6D+6Q/mM6sp2dnfi///u/uCwVrl27Fv/85z9VTV1JknDbbbdZrkhXV1cXVA1OKzEkIlxJn1hobmo1kvWGUKw0PuOls20mV+fm48eiOpm2b5gZP6zUuF5P1kxf24pRpS8Zrz+eJElYtmwZKioqDMNbrOLxeHDjjTeivr5eeK68Z16kt62ltrYWCxcuNDxn3m+044V+DIomixYtwogRI1BcXBz1YxH2sZM7YIW5c+fi5z//ufpunDFjBp555hlH+5ro3Wfl+WHP3rPPPms4iVu+fHnIeODxeLB582ZTyWHt+CUaZ3lSgEbn4XTtjnhAOtsWibexzXtBsNlfLHVTly9fjvLycsPjGRnC4epm2y3nbWSgA3DU2+33+3H06FHDF3w0oaI29nFSk7W1tRWvvfYarrrqqpA+bFa2nVFaWoqsrKyQyYMVfW2j559N+gCYGpgTJkywrMRhRn19PT788EMUFBRwv+dd67q6OixdulS4T1mWcc8995iWT7/mmmvwyiuvcNs0evRo28WBIuXyyy/HjTfeaDpuErFnzpw5GDp0KDZu3OjI/uwY2GbPLXMS8frqmjVrMHPmzKDnR1R7Q38cK/bCmjVrsHr16pDPeRNZWZZRU1ODkSNHBlVRBcIbZ/tamXYG6WwnAH6/n/uiVBQFOTk5hpqXTmPlhWEUtxyubrZI8UEklyaKma2urnZcPcTr9eKCCy6wFL+daDKBfZn8/PygzH5RKIrRPcvPz0daWhruvfdepKWlIT8/P+h7Fj/IkgFFTJo0iRtraKRCAvwrd0IUR7l9+3Y1VMMs1tIpQ5stIV900UXC3/Bi0o1UO5gX3szQBsA1tCVJwsmTJw1jvaPFe++9hw0bNpChjbPPWWlpKVf9Ih7s3r0bM2fOdEzjXFEU1NfXm95rs+f2wQcfRH19PRobG7ltW716NcaPH69qu9fV1QmLzPDsBiMkScKUKVO4eQ+TJ08Oig9nk/nMzEykpKSEjF/h5AfFOyconpCxHWeMMoAff/xxnHfeeTFri5UXhv7B0BorZkmeRrJbemPESC5NpHzC4k8BZyXrrAwQ8ZIJJAM/GHYfNm7cGCKjKfot7561trYGxQUDwM6dO7l92CiJyehFon9ZaZEkCRs2bEBBQQFqamq42//tb3/D4cOHY2Zkal+mZvKA2nM2SiBbv369I23Lzc3FwoULXVWboD/yzjvv4Omnn7a1zYwZM6LSFpaXIHrGokVRUREKCgrwyCOPcL//xje+galTpyIlJUXYNkVRUFxcjDVr1lhSOmFY6f/Dhw+3ZSSzQjX79u0Lec9YrX3A6AsSfuFCYSSIbxiJlVgsNzFnzhxUVVUB4MdNv/rqqyFGCsNqDHdLSwsWLVokXJ6yU97aqeUpo1CXaJWS9fv9OHnyJIYNG8bdTyzi1hMJoxho/f0wu2ebNm3iZtizeEReqJLf70d1dbU66TMKidIm9544cSIk+UmWZXR0dKhyWfq26uOyoz1+6OMwzUqWv/nmm+pvKysrhXHNP/jBD/DYY4851s5wY9HdzpVXXonXX3893s1wHI/Hg/vvvx8rVqyIyv7ZcwQAx48fx+nTpzF37tyoHIvB3jl33XUXVydeP4YAwIEDB7ihHXaebTbeGL2Dte3T58WIbBF9G5jiUCTEOyfIaSiMJAHwer1c6Tu3snv3brS2tnJLsi5btgy7d+8WbiuqDNna2opNmzZhzZo1phWoAPHyu5WCHVbgeYuNZvDRkAlkXlefz8f1lMe7+IwbMfKg6u+H2T276qqruPv585//LPSGe71elJWVqYVZ2tvbQ6T1gFCP+oEDB0JecIFAQG2L3hukT4p0wrDULh2blWQGzip+GMGKuPj9ftulzY1IS0sLuQ5a+pqRzWhtbe2TXvu7776bW4TIKdhzxFZOT548Gfa+JEnCnDlzgvqf6J3T2toqLMikH0Oam5sxc+ZM7v21UklaL7FXVVWFpqYmrFy50nBFVr+aLFLx0X/GqqlGQiJL+IULGdsuIDs7G1u3bo13MyzBYrB5BnEgEDBdztYbPdq42A0bNphWoALOPqgiT5m2Il04cbpGoQWiAcLpODQrhjSvrK7TOuCJFqJiVolRez/M7llKSgrmzJkT9H1GRkZQFr9ogsP6CdPI1vYl3r2tqqoy7T/ayd4DDzzgqFHJkphZufOKigrTZd7Dhw8b7nPjxo2qp99IM/uWW27hGhMiT2dBQYF6Ha677jrub/qiwe2kqoab2LhxI6ZPn46MjIyw9yFJEpYsWaJWEtWilaljDiI7lJWVoba2FrW1tTh27BiqqqrU/sd7VoqKilBdXY20tDTu/q655hruGAKclSLknZu25gWP4uJiZGZmBj2jKSkp+PGPfxy1kI3S0tKEeS+4BTK2XcJFF12UMJ4Loyxrs2QUpr0N8ONiRWi1dFlVLV675s+fH+R91huMRsZ0uN5ip+PQzLyuorK62msbKZHGoMfDUBfFQPPuh5V7xjxEa9euRVNTk+mKixZRX+JVqwsEAsjPz+e2RXsdvV4vjh8/jpUrV0ZwlULJz89HSkoKRo8ejc7OTvh8PsM4TL/fzy16oycnJ8ew/PPixYuRkpKCioqKkDLV06dPDxkPmc79iRMn8N5779nSqCbcC0s8NHv/ib7funUr8vLyuCvEN954ozrp5T2/ZkycOBGZmZlBxqzW6cImwbW1tcjOzkZJSYmh+sm//du/CccQrUY9Q1EUZGVlob29XVi51agmhbZ9mzdvNtTSTk1NtWyDaFferBLtd4LbnUMUsw13SP8ZyWIlAsxAAIxlyHw+n1o+VhQXK9p/e3s7mpubDcska2Nd9THNvCIhVmLBeXHfvII6TsWhmcUTi9qZk5ODDRs2RFzsJ9IY9HjHkjO5xj//+c/cUuC83yqKgtTUVMPzs3Nd7OQV6ONKWf+x0n8Be3GdeiRJQk1NDX7zm9+oakS8e6btUy0tLaZ6vGZon1O2f3buvGe8r8ZiE5HBnr/Ozk7u86bNbRAh6ltWx7xItd2ZR5zVt9CTk5ODm2++GcnJyUhPTw8ZfxoaGtDd3S0c73njsc/n474jrJ6L3ZykaL8T4v3OIZ1ti8Q7QdIo0cjtSJKEdevWYfDgwUhNTQUA00Id7CXb2toqXG7jYaXoBSDW3BXpmmoTRqwYU7EuqGMlIZOd3+zZsy0XIRIRiRZqtJJF7WDn/ti9l1Y14c0K1mhZsmQJysrKTLcX9d/169dj5cqVId/l5ORg27ZtIb/XavgD4ipz2kIx2iqXTrwytInWWkMeMB4/CILBnj+fz4eWlhYsXLgw7L5ZW1uLN954Q5jczPpocnJykGFr5znnYbVSLPuttkKkx+PBrFmzDMd7s+Rq3jZnzpzBAw88EFRd9qqrrsJrr71mmvjNI9rvBDe8c6wY21SuPc50dnbGuwkRoSgKVqxYoXrE8vPzDQcNbcIKi4vVhpJkZGQgMzOTW0RGURTTAYnF6Ik0v/XGgj4WXF8qvKioSL1HbHDlJYaOGTPG0XKzTD/5008/xdChQ7khEHrvXyAQCLqWLHTBbplyXjlyqzHoRiEwTgx8RkVmAHul2sMp664tQa4v8KD1FDU3N1t68cuyjLy8vJDP7fTf9PR0DBo0CHl5eWpFy+LiYmRlZeGJJ57gFpnq6uoynLhqw2O018gp38yePXuQm5sbUjLebPwg3AmvKiEPK55mKzBFj7179xqqefEqrOphGtOZmZnIy8sLWukCgifk2v2Wl5dj1KhREZ0Lex9a2UcgEMCePXvQ0NCAnp4eJCUlBXm69eOX3+/H/v37Q/atjf/njXkjRoxAWVkZ8vLyQtRKwlm5jfY7Idr7dwoytuMM8+YkMtoH16xal95oq6qqQm5uLlpaWjB69GgMGDAAl1xySZDRK8syioqKhIU0tBW57r77bgBig7GoqAhlZWVBnkntA6k1ptra2lSPg9HgypJGzWQN7eL1ejF27Fjuykt2djYGDhxoupwfzqDDm3RYjUGPxFA3Iz8/P2gyofWOMuwMvOEO0l6v13Clg3mqzAxT1qd4k4BPP/2U68meMWMGfvGLX4Tcl9zcXEyZMiXkZci7jykpKeju7jZ9wSclJRkqvERCb29vyKoWSxaNZdVcwhmmTZuGP/7xj6Y5OCUlJcjKysJDDz3EXXWxgiRJGD58OB555BFs2bLF8LezZ8/G1VdfLazQrB/b9u7dq4ZzSJKEZcuWcScRzEhtaGgQrjhZZdu2bZb7fG9vL3p6ejB16lQcPnxYOH6ZhVvyttGPQ/pxTv+3VaL5TojF/p2CwkgQ3zCSvhCvbQeRRmdlZaU6yDEj5MMPPwyKI7322mtx6NAh7n59Ph9eeOGFIMMYAHfJ38oMXbQ01dDQEBI3p/3e6aUro3LtVpcww9VFDdeTYTXUwg6ikKOmpqYgD7edJUUnlh/thHvoWb9+Pe66666gz3heNC2sD+pLJ5v1E54n3kzf304JdKahP2zYMBw4cAC7d++OKI48ktdSIhjr0Wzj//f//X/4+OOPo7JvETt27MAdd9xhek5LlizBeeedp+b3iDC6Pna1p3ljNitDrs3nMNKDF7FmzRr09vaqDhxZljF//nw8/vjjtu+vlfPSjk/hvKPM9gkYjyXhEo13Qiz3bwaFkbgcszLGfZHTp0+jtbU1KO5NP8gFAoGQCUggEBAa2gDQ3Nwc9Nvly5ejvb0d7e3tIYaGlRm6yOt55MgRYYxdrJeueB7oG2+8EfX19UG/KysrQ1ZWlu12hevJEIVahIvf78eOHTu437W0tGD48OFBIRxWvfKRePAZVsM99EiShPT09JDzNPNG9fb2oqurC4qi4L333sOQIUOQmppqONhr7yMrGvXZZ58Zto95hvTXSBvnLUkSpk+fjrS0NKSnp6O5uRnz5s1Tzz9cg9LIyJo5c6ZQv5iFocycOTOkSJDbiGbbYm1oA8aVkLWYrXwyjPZl59qxMZv3jGrD8/x+P1d6z4zVq1erq1mTJk1Sn5m//e1vIV7+tLQ0UwWd2tpajBw5El1dXQCAt956S/Wsa0UIDh8+rK4Aa1fVNmzYYGnViqEf8/x+P9rb24WF1MLF6XdCrPfvBGRsx5FoLdG6mXXr1mHdunUA/pUcEs4gZwYzfFlCX2dnJ06cOGGYta2FtzQF/GtwLSwsVL3uDI/Hg6SkJHUgjMUDrx9kOjs7Q4zteMSvhWuo6zHz9LICEfpkH6OBVxtfHekgzcqW65eoS0pKgsKV9IlMxcXFQbkAACyVXZckCbm5uSHH27JlC7Kysgy3taM0oH0B+3w+3H///fjkk08wffp0DB8+nOsp18d2y7KMBQsWhB0uoGfVqlU4//zzQ4oAMS/lyJEj0d3djV/96leuNrTdQLgToXHjxuHNN98M+fzDDz90olkRw3sWRWN5W1tb0Psh3D4TCARQVlYW5HHmFXczM7QVRcEf//hHTJ48GSkpKairq1MNbUmSUFRUBABB493s2bODtn///fcxZswY09U1nmc/2on/Tr0T4rX/SKEwEsQvjOStt95KqFLt0SDSeDcjduzYgVdeeUVNwNIe02ggYcbYiy++KFzu5MV/m2WGh4PdJT03ZGY7hVmYTEZGBp599llb52r2QrErm8gLx5AkCceOHQOAIDk7raHLjAJtyFOk8mENDQ34wx/+AACqjKFWRcGKt3flypXq9ejs7ER7e3uQJBkLF9FLh4kUbKId0iFJEhYsWIDRo0dbUnQgYBiLHMk+4/0e+4//+A+8/PLL3HLjM2bMCHFC6EMyrL6LRedaW1uLzMxMW7KfPEQKJVblL3mqJTfeeKM6VvLCLFpbW0PGh0R9b8QDkv6zSDxjtpcvX+6Y56cvEe3BWzSQ2JE5YzGtx48fD8kMNzqGHcIxtqurq4USVomE6KWVm5uLOXPmoLu725ZEodlEJBzPjqiNtbW1uOCCCyzJ2Tml0KAnLS0Nzz33nOXniE0S7CRXaY1vnsRYOM+wLMt9tmJiNPjud7+L3/zmN/FuRtwJJ85bO1aIYra1k3ojqT6thnWk8pWROqF4uR2iHByjFS8rcq+ENWObKkjGkbq6OjK0Bdx6662GJWq1TJw40fb+e3t7cfTo0aDPeEvhIrQxrVOnTuXGyTldPt0MVvVx48aNUBQFS5Ys4VYATBREJdULCwuRkpJiWnJdj5H6SLjVQ5OTk0OqrkmShIULF6rVN41KlgOwJGkZDk1NTbYMVhbOZdXQBs62fenSpThx4kRQRU5ZljF9+nTbbWYGi7aqJGEMGdr/mqCJ4H0nSVLQWFFQUIDS0tKgaqalpaW47rrr1O0VRcGgQYNQXl4e0j/ZmAGA+70dmLMnXLSqJbzKlww27vGujyzLSEpKCrsNRDA0msWJjz76CIWFhfFuhmsZOnSoGqNmRnt7e1jHWLhwYVAZclEMPa9sNJMYZNg1/JzE7/dj3759IROFRx99NOrHjiYsOU9UUt3sez1G98jIEBdRV1eH9PT0kBeV1ni2Iodpl0hewkaUlJSYTgxEMMO6vb0dS5YsAQA0Njba3s/8+fPh8/mQnZ2Njo4OdV+E+4nl5EiSpCCj+JZbbjH9vZXnpqCgAB0dHaivr0dHRweysrKCjFFFUVRd6gceeCBkezZmaPuvtp1Wn12Px4OSkhJDh5Msy5gzZw73ukdSF4ERCASQnp4e9I4kwoeM7Tjxyiuv0DKpAeeeey5KS0ujegy995JnjGmRJAk+nw/A2az6CRMmqAORXcPPKZg3Ozc3N+6e9WiQnZ2N9vZ21NfXc730Zt9rMbpHdidLVpRD7GL1Rbxu3TrU1tbiBz/4gWPHBs4aEuFODBRFwbJly3DixImQHAk7bNu2DePGjcOaNWsAIERHPZGwauD1BSRJwvbt21FbWxuT45WUlARNxvbs2WPYtsWLF3Mnxbzx0ev1qhNwXtJyb28vqqursXLlSu6xWJI8cFYJihnvW7ZsEb7zMzIyQsalgoICtLe3o7a2NmRsYsWpqqqqQoz6cOoiiLC6wkeYQ8Y24Uo+++wzR5N3mJGsR2uQer1eFBcXhww+Wq9Gc3OzMNTAjuHnBGYGXyw8636/H4cPH47qYMxb/rTzvRbRPbI7WbKiHGIHWZbx4IMPWvrtkCFDkJmZid7eXseOb0Z6ejrWr19vaDwGAgFs2rTJkeuyYcMG5OTkJGzCI4tlf/LJJ+PdFEe56qqruJ8rioJ58+ahq6srJhOMSZMmAYDpxG716tU4duwY8vLyLE+mmQNj5syZWLhwIXdls6qqims4K4qC9PR0NYSsrq5OHZ8++ugjYTsXLlwoHJcyMzNDxqby8nK1voDX6w0y6u28e9g7z4i+4LRxA5QgifgkSJ45cwYXXXQRebcNcCJJUpZlbN++XdX/1SNKkLNDuEkkVpQvjBIki4qKhJ5IfWKkXZUNK0RbKioeiArAaK+dVQk9OzCFCLNiH8DZWOxXXnnFdgEOALjwwgvxySef2N5OlmV0dHSEqKoQfDIzM1FbW4utW7dixYoV8W5OzLCa2JeWlobm5ma1EIw+IdYoaZgl8nZ2dpqqfjCFEMDaeMVLota2xePx4O6777a8AsTeL4A4SZqdj9m4HG6RMTPM1FNIlcQcSpB0MSNGjIiKvnRfQxvvZhfmARgwYAB3kGNl4Ds7O9Ha2hqWoR2u91jrPdGGo1jF7/dj06ZNIZ9LkoTa2tog70Y4xzLzWIebUGh1//FC7yXXX7vKykphQhFDkiTceOONto6rKIolQxsAurq6wh47wjG0gbP3l3m33Boa4aZ2HThwAJWVlf3K0AasJ/Y999xzKCoqUmOjb7vttqDvb7vtNmFOE3v2zEIgwoEXw6woCmpqalBfX4+GhgZMmjTJ8nGZV9iJmhp2VvDsYHQdYxUO2R8gYzuOhKOi0Z9QFAU//elPcdddd+Hhhx+29TLNzMxEQ0MDRo0ahTNnznB/k5ubi9LSUrXiXDiGtmggMjImIzVUAXERhsWLF2Py5Mno7OyE3+9Ha2srCgsLbR3LinEeTkKhnf27Ad59sqrlPGjQoKi166WXXoqLZzkpKcl0QirLctxURNzkbVcUJayVBx56Q9SMeE869AWHeO1RFAVlZWWqo0JfBGbXrl2q/jyP6urqkNAvPZIkYfLkyQCsj7m8ZHuPx4PJkyfj+PHjSE9PV4tKWbnOzBnDil/xEMWOxwpeCF1paWnMwiH7C2RsxxGnVQr6ImvWrEFtbS0KCgpw2WWXWd7uwIEDauzcHXfcwf1NTU2NJZk/HnrvMfAvA7uystLQmIzEUGXwvBGyLGPYsGHqscePH4+0tLSQc9MfSzsxsPpSCld9JZyJRry84Eal2I1QFCWqsbrbtm2Li0FVXFxsaGhLkoT8/HwUFxfHrH1XXXVV3I1LHk61SZZl2wVStFUFo82ECROE30mShMbGRqGMo5HX10xnvaqqCn6/X83BWL9+vWE7RWOuVv7V7/dzk/KZKpZe7UmSJKxevVp4r7XOGK/XK1yNkmU54twa3hhpZ9zU5rJ88MEHyMrKctXktS9AxnacOHr0qGn5ViKY9957j6tpfO2114b8Viu/Jho0wh1MmMdEXxiAGblao4RnTDohE8jzRuiLLYjOT3ssvZeZJ/3GmwiEq75id6Khbd/48eNRVFQU8vKIljEumtCYSXLFgni8CF955RXT32zcuBElJSUYO3ZsDFoEvPbaa64wCgYOHBj0t1NtKi4uxg033ICMjAzL2+zatSvi41qdLLBKqTwURUFPTw+ys7O5ISFWvL4iAoEAjh49isOHD2Pv3r3ccB1FUVRj+sUXX+TuJzc3V3WGiEI9Jk2aJJx4r1mzhnuv165dG+KMycrK4p5ncXFxRGEavJXCcFYPWZhKY2NjQqw8JhqUIIn4JEiWl5fjf//3f2N+XMIZ1qxZg5kzZ6qVucwqhumTKOvq6rB8+XK1nK6oyqNZBUlt0oyVhCFtYpBZMhDDKEHGbtKOlXLy2hLj+qqc+nOIdpJmfn4+du7cGfTZww8/jDFjxlgqf85wQznrRCQjIyOkzHY8GTp0KD799NOYHKu0tBQFBQUAxElsdvtVdnY2tm/fbrjNNddcY2liZQZLqgX4yYHLly/H6tWrAYiTvUUJl1arrrKKjyUlJcJzNmqnlQRHPaLxUnQPI6nSyBtPmYMgnGrGVsZnIhRKkHQxX//61+PdhH6PvjCCHVavXq0mzO3fv99wEOZ5rZ2SCdQmzVgp7pObm4tRo0apZd15y7faUAkzj7XdpB0zj7jWIyOKow8EAigsLAxJanVaE9bv93O9hMuWLcMf/vAHy0aOvkCFneIW/ZmMjAysXbvWVdcqHEN75cqVmDdvnq1t2DmzFRvRatjBgwdVg9UKdXV1pv3WCUMbODtRBSAcHzds2KCuVImk+RobG1FfX4/S0tKgfmC16mogEDA0tNlvjh8/bjg26b8TvS9kWRaOl9EofCbyuIcbpuhEiCPBhzzbiJ/038iRI2N+XOIsTAfX5/Ph+PHjOH36NObOnRuVY82ZM8dycQ69zJyZZ1u7nVXPC2DuEZNlGTU1NSHhMk4hktizcw6TJk1CW1tbyOd2PEVGkohGkljr16/HihUrTA0X/UoCO+fm5uaw1G+sSqv1BWRZxgMPPJDwih7Lly+3rDTDgxVlGTZsGMrKytTVsKKiIpw8eRKbNm2K+aqJWT9kHmUrCcXsGQEgXO2zOzboMRrvmGdbOw6JVuvYd0lJSSGrbqzQDNO/5qFfKbPzbuBBnm13YMWzTcY24mNs/+53v0NqamrMj+sWZsyYgWeeeSZux1+0aFFQuV0zrdFIsDpY8UIifvjDHwb1T5FxGI32R7K8GQ7hLJXrX/oejwcNDQ3o7u7mGtDaEJUDBw6oRTF4ISh+vx/jx48PObbVJWz224qKCu7Kxb59+5Cbm2u6D7afkpKSuBlXRPg4FULEDFg2yTTz2EZyHKO+nZOTgzvuuIMb4sWYNWsWnn76acvGsSzL2LJlCy666CL09PSEGLqRjm+iZ9bo+TSjsrJSnUwYhQIynDZk2VjW3t4eNAljEzsrYYq8fT7++OPYsGGD8LyiUbMh0SFj2yLxMLZ/9rOf4Z577on5cd2Ax+PB/fffHzOP1X/8x3+o5XMZ+kICIsPKLrm5udi6dWvI52aGq2gg/uCDDzBgwAAAxkUZIvX86LFaaAEAWltb8dprr+Gqq67ienWsDs6ia9DQ0ICSkhL8+te/Dtnm5ptvRn19vfpSmTVrFnbv3s29RmZFi3gvPl4BG7vGk9bjpb0WADBu3DjL+9Eed+LEiejo6CCju5/BngcjQ9cOkiRhxowZePbZZ4OMq8OHD+Opp57ibqMtcGR3dcbKiprVYjN2qa2txdChQ5GUlISuri4ACHvlTjuWsIkwi68X4WTMtv5dwCZh+pVCO/k0+nNavHgx8vLyQsbDvlbIzAnI2LZIPIztX//615gxY0bMj+sGLr/8cvznf/4ntmzZEvVj+Xw+3HHHHVwPora6mBPGtuhFaMV7IRqIDx06hAkTJhh6RYCzsXZbt261lUxmpUqbqM3MaNQfU78sandwFiWOtra2Ii0tLeT3O3bsQE9PDyRJwsiRI4XXHrCW4MR78fn9flXVQFEUy95oPddccw1effVVKIqiXotf/vKXaGxsDGt/RP8kMzMT+/fvd2x/bNzSepSXL1+Obdu2Cbdhz0lra6vjicKi8VI7NoSDNuE0EsL1UItCPsxCT5w6fqT7FLVfG4LTX6EESRcjkiLqD7z33nsxMbSBs8oRVhAViTGDxccxwzAlJSUsSTxR8sy3vvUttX28xJXq6mo1odCuoV1RUYGOjg6sWbMm5HujQgvaJEb9MXfu3InW1lYA4WlqixJHU1JSQuTPJk+ejHnz5iE3NxcLFy7EgQMHhMk9Viq4iZKVvF4vMjMzkZmZidTU1LCLtrzyyitqH2PX4sorrwxrX4nA0KFD492EPockSThw4ICj++zt7UVPT4+a6MxCCYzawJ6TlJQUVFRUWJbCZBPNnJwc4XMkqgPg8/nQ3t7OHa+sUFZW5kjydLhJhLwiPIFAAOnp6bbk9aKRxGhln6JkzOrq6rCP258gYzsO+P1+UxF+InIkSUJzczNSU1OFVczY4MuW9e3CyvhqDUOfz4fNmzdzC9+IEGXCjxgxQm0fT/OZxRzbRZIkjBkzBp2dnZgyZYrlLHm9Ac2D6cdH8lLSK5zU1dXh2WefVf9etGgRWltbgwz5qqoq4XmYlXY2UhEA/vXCBxByn+bMmaP+bUc5o7e315JHJFGJlURerOHd40WLFlna7qKLLoro2GbFXsJB/6xXV1fblhNcunSp5d8HAgFkZWWho6MDtbW1hmOPXi+6ubkZM2fO5D7LZs+eU6oakaiKZGdno6GhIaitgUAAS5cuxb59+yxNBqKhamK0Tzb2JScnc68xKzBEGEPGdhzo7OyMdxP6BYqiYPny5QCAioqKkIEiNzdXFe33er249dZbbe2flfHVGobs5cC8rc3NzZb3ZyQHyDPG8/Pzw45hDAQCmD59OmbOnIn09HTMnj3bkjeeJxeo58ILLwQgniCwl4LVYjQ8A3/Lli1cL8v8+fOD5BzvvvtuAHyvEvvNkiVL0NHRIZwU6V/4p06dCppMVVVVob29HbW1tbZl6hJdaaM/wjNEr776alODW1EU/OEPf7B9PKelD3NycoIk7NgzApx91jZt2mS4vaIoOHDggPrc+v1+Q7UVkRHHVoz0FS9nzZqleth5K2NA6IT34YcfDvKw8+Q1IzVIGeEW9GKIZEO176NoHt/OPpubm9WxLz09HdOmTQvZlkknEsZQzDZiH7Pt9/ttJUYRkVFfX4/Ro0cLY3aZjJbd7H59fHI0Yun00n/apBfAeqEFM3hxm3qsxrW/+eabQZMPbYIhC18BYDmW26oSgT4GncWH6uX3jh49ij//+c+44IILTBOkjBKz9O2OpqIN4W6YYRer12m4CifaAi7V1dVBajzFxcWQZRn33nuv5X2Vl5dj1KhRwn6vzVNg7daqfxiNmaIiXSxeXCQfqpXXDEeRg+3HLKnbbgIiw0yFyI5MXzjHN9vnp59+qoaAOSkr2JehBEmLxCNB8sc//jE2b94c8+P2R5qamtDd3W1oCIXz8tInh4gG0draWlxwwQVhSSWZ6WxHmjSkxSwr3syY5MlohaMDq3/RWVUiMLqHbP979+5VJ1VWEjbNzlmbgPnQQw8ZJpXFC6aWMHLkSOTm5oZlpFEFzL4B6wsjRozAokWLbEnziSacDzzwAFauXMntH/rt9GOmkUIHz0Fi17ALxyCNtuKGFadFrGVXtbB3juh9tmTJEjz66KNhTWL6KpQg6WKuu+66eDchbkiShIkTJ8bseF1dXaYxu+EYEtrkkLq6OixcuJD7u4ULF6ohCHYSYaygjQ8vLS21nKikx8oSqygspKmpCfX19Th27FjIoGu3wpk+ZIOF+JSXl5smJhrdw97eXjz00EMoLi4OSVI0CmMx6zcsSXX8+PFcQ/v222/Hd7/7XcN2R4Isy1i9ejWWLVsmDDd48sknMXHiRMvxvqL8BiLxURQFxcXFyM3NtVUAq7i4WFVu0hIIBAyLO/GefW3IgVGssBPhEnYr3IaT1G0Xr9eLiooK4bhiZSy2GoIXLqL3mcfjQV5eniPVj/sb5NkGVZDs62grlOk1kyNFkiQcPHjQsu6tXaknI892ZWVliJfW5/OhurpaWPiE56G0470RSfOJEEn2iYrRGMkmmsmRGSHLstDYNPIisbL2okRUnpfeiGh4iGtra/H5558LdfvZMa2EOvTVCpW86x5Lb70kSViwYEHUVj7++7//G7/61a+isu9I0F9jnpyc9vnSjinaAlRG4W1O4qQWthnM697W1hZSlMZMHjWanvczZ87g4osvDhkHSFdbDHm2CQJnDaFly5bh1KlThi/XcBKRFEXBwYMHLRsoLDExUg93ZWUl10u7b98+wwqDWqPLSnKgHqMkTh7d3d3cz/Pz80M8Vt3d3UKPt5kcGUN0D+fPny9c5hZ5kZiXfePGjVAUBUuWLAmRH7z22mttGaeKoiAnJ4c7AQkHSZKwcOFCwwJZ7LzZf4089dddd13Y0oZuZuvWraitrcXq1auxYsUKrFu3Lqbe+oMHD+Kee+6J2rVlqkVaZFnG+vXr43Y/PR4PSkpKhJ5p3vPFxhTtCld6ejqOHz8ek5jgaCh9iGBe94KCAstjaiw87++//z53TKupqSFDOwLIs434eLZ37tyJ/Pz8mB+3P2NW9rukpARFRUW297t+/XqsXLnSltFlNfaQ59l2qtplRkaGbU+b3VK9ZsV4tPGUvN9KkoQHH3wQQ4YMMS0mY1SZtLa2FgsXLgy5R6JCF1Zjze16thnxjIH+7ne/i9/85jfc7yRJwrJly/Dwww9HlAcgSRKuvvpqvPbaa2pFuni+apqamvDKK6+oK0Hhtiec7R5++GHVU2u0ShIJvBUJ1rfZxFzEypUrMWDAALX0eLhoE5T1HmpeIqPRuOB0orkZ2nEtksTKaLbL6/XGxPPO82xTEqQx5Nl2MazwBxE7jF6SN910k+ELSYQkSUhPT+fKyjFpQB6RaL6GW4BHT319PRoaGtS/zeIAtd6m8ePHo7Ky0vQYRnGX+nhKnjyfoihYsWIFcnNzTVceioqKcMMNN3A9U5MnTw7atyzLhhXlrMaaBwIBZGRk2F4ViafhKTK0gbPtYsbF+vXrw5ade/DBB1FdXa1qKTstX2eXtLS0oJUgu9d/0aJFhrHJeqZOnYp58+ahqakJ2dnZqKysxPjx41UvLi/+2ep+efCMZBamaJQfI0kSsrOzUVBQgMbGRsv3Sa8v7/F41CJZeg8tL27aSIM/GkVbjNDniQBwRUwyL38lFp73ESNGOC4tSJBnG0B8PNt33303du3aFfPjEnzC9XSVlpYiKysrKLYwKSlJ/a8oljtcz7bf77etemF2bqWlpRg0aJBhHKBIEcTIYNV6ZQBYVgUQxXmbwbw7RnHlVtUJrHq2+zKSJOHyyy/Hu+++a3s7bR6BkTSc25FlGTfddBOeffbZsItHzZgxI6TSqlEOgVNo8zhEK2H659eKuhHLU0lJSQlbfs4tnu1oyLVGu13R9ryzd040pAX7KuTZdjHDhw+PdxMIDeG+9E6ePBkSW5iSkoKpU6dyY5AB82qFIurq6oSqFyIqKytx7Ngxw4qlxcXFKCwsNIwDFJU7Ly0tDfod845XVlaGVH5jXjmzLHpRnLcR2hLSZsWB9F42vUefTRKKi4uDvDvl5eXcFYy+iqIotg1tth3wr3505syZuHu2w2Xx4sVhG9rA2WuhN7SBs9cm2n6uQCCAwsJCAPyiXryJsvbZefPNN/Ff//VfIftVFAU9PT0A7Kt9MMxWvGLlWTXzokdb9SOcdtnNmwmXcO8twYc824iPZ/vXv/41ZsyYEfPjEs6i9xpLkoRjx44JY5DDVSOxqjWt5dvf/jb27Nmjet3teouZ1m1nZyfOnDmDuXPnCn/HPMqiUu6scBCLC2VFNCZOnBgS/x1uTPqbb74JAJZjyvUxtLIsY/bs2di9e3dQGydNmoSkpCR0d3erXvpNmzbhscces9U+gogHtbW1yMzMxJkzZ9DU1AQApsWcGNH2/Bp5T2PhWTXzIEdT9SPcdkXb+DWr7UCEQkVtLBKPjvXoo49i1apVMT9ufyZWSVrs5QbYl8rTwwa+cKoTLlq0CFu3bg0rQU1vHIu211akM5sMGO1D/yLTV560Qk5ODp544glLL0er+5dlGYWFhaioqFD3m5KSgqNHj1puF+EO4p2k6QTaJESrMo3r16/H4MGDMXDgQIwZMyasFTW3JAxGA975+Xy+uIeXxOu6k7FtHzK2LRKPjrV06VLHC5wQYjweD+rq6oTeWSfRGtt+vx8tLS2QJElNluR5XkUqH5F4tu2gVxLQGtpGsKVos8mAmWHA099taWnB5s2bceTIEcvnYKTpy4j2tYw3fcGodJrVq1dj9OjRePfdd7Fu3bp4NydsWI4I8/ju3bvXNLFb2x94VV6t0Nfjd/XnF0u9bTvtigVkbNvHirF9TgzaQXCYOHEiGdsx5MYbb8S4ceNiYoh0dXUBCC0+oA9RYJ5XK0UKWBwj83Q4fR4lJSVBL3FRjDYzmlmIBYv5ZFnyRiEkTHaNB4tH9Hq9huEoRuj3rd2nFtG5uZ3LLrsMv/3tb7nfLVy4ED6fT52wiSaVI0eOVPtnf2LNmjXxboJlMjIyhHHiJ0+eVOOaAajPH28Fiv2/9rlQFAXLli2Dz+ezXYmxLxrZDP358cazaOlt22kXkbiQZxvx8WyXl5fjf//3f2N+3P6KLMvYsmWLqVazE4iqIVr9ndYjy1MjOX78OE6ePOnIuUiShJKSkpBEKVHMYENDg7Cam37Zs6ioCJMmTVJfUGZx2E1NTRg+fLhjXmcW4sLzbDuhU64lLS1NjYeNF1pDq78a1dGAPSOR6lBbpb6+Hi+88AI2bNgQ8p1Rn2YTZQCmY0SsPbSJSF8PnxFBnm37kGfbxXz1q1+NdxP6FczrE4ty1L29vfj5z39uepze3l4cOXJEmHXO82gwT4ff73fkXJiEl57m5uaQxM8NGzYYJnZmZ2fD5/Nxlz0PHz5satz29PSgurrasfszbdo04TVcvHgxNm7cKNzWzspBWloannvuubDb6RTa9pKhHTlMwWfw4MFITU0FgLC0+EUwdRDtfZNlGUlJSaioqOBuEwgEuGMDzwN68uRJbj82qppK/Auj8Ywg7ELSf3HiW9/6Vryb0K+QZRmTJ0/G7NmzY3K82tpa0994PB5MmTIlrCIFLKwkUkk1JuGlhZUE1hvbPp/PdH8iuSheMQYtHo8HSUlJ2LRpk43WG/PCCy8IJbuM4sv1ZaZZPLuIiRMnUox0H2P58uU499xzsXLlSuTm5mLChAk4efKko8fYunVriCSfoig4cOCAcMJpZWxgxVB4Xm1JklBeXk6Go0VI/o5wCjK248Q111wT7yb0GyRJQnFxMVpaWrB79+64tIFXcW3Dhg0YPnw48vPzVUPUqqas3+/HwIEDIzK2RR4uUfXESCq46bVztQYsO+fu7m5HjVajNhtpec+aNQsFBQVob29Xqx+K2iXLMs477zxH2kvwkWUZP/zhD4XVWKNBeXl5iPa80UqIGfrnlFU19fl8IcZ2VVUVd2JqRZ+fTZRZu1lxofXr12P37t04duxYvwiFIAi3QWEkceJPf/pTvJvQb1i2bFnM4i15rF27FhkZGfB6vVi1apW6LNnc3KzGJ0uShCVLliAvL8/U0A5HFo8HM7T37dsHALjooovQ3d2NM2fOcH+flJQU0fH0y7JAcFVJXmgMb6ndKkZeQKOEzj179mDVqlXwer2myZSBQABr16613TbCGh6PB1dccQUeeeSRqOxfq8KjxclJH09jnhnNhw8f5k5slyxZgkcffRS9vb2QZRn5+fmWxgbRRPmyyy7DjBkzEj4WV6TaRBBuh4ztOFFdXR3vJvQLLr74YlUjORbw5OeYoQ0Ex1zrPVCPPvoo8vLyDPfv9/sdMbQB4Pe//z3GjRtn+fcHDhywXIxHhD62VP/CzM/PDyoyY7ekNbv+ZisEzNPOUz3RxswbGeVEZFx++eV47733Qj7XFhM6ffp0VOU6Y1EynZfoyBCpXuTl5WHmzJk4cuQIpkyZYvm5c4uKRjSwotpEEG6FwkjixO9///t4N6Ff8OGHH8bUUFIUJSQ8gmfwmZUJFtHS0hK3+OCqqqqolS1mcaYbN26EoijIycnBPffcY/tcFUXB6tWrLZUx9vl8eOCBB7hL/Mw40Ye/GMWdE/bgGdoA0NjYiIKCAkydOtU146Qsy2GFbD3wwAMYM2ZM0KSOlbH3+/3c0uRFRUWorq5Geno6Vq9ejfT0dMsysZGUOo9XaXIr6J0T2mtIEIkAebbjxLvvvhvvJvR7oqm5XVtba1gSORE9UCIlhHBhS8LJyckhXv5t27aFvd81a9bg2LFj2LZtm3DZWeslY6EEIo+4NvzFKclFgo8kSRg+fLj691VXXWV7e6vPtNXfSpKExsZGvP3227ZXlVasWME9Tm9vr1qFdNSoUaqkZltbW4gePTMsrWpjh6Oi4YTXOJohHkbOCQonIRIBctPEgTVr1uDEiRPxbka/hmnnMg+QkyiKgj/+8Y+GvwnXA5WamhqxAkm4SJIUMhkI1xvGPNkzZ87E9OnTw1p9MLoO9fX1uO2229RjTJgwQfUO8kJ4JElCbW2t0CPOVAlSU1PJux1FFEUJWt1JSUnBnDlzQn4ny7JapVW/vVXuuOMOS/dSURSuao9VRG3Kzc3F+PHjMXPmTKSnp6OtrQ2lpaXc31tZ9dJiR0XDrteY98xrn2fts+YUPDUjtzsnCEKLa4vaHDhwAK2trXjrrbfw29/+Fv/4xz9w3333ISsrK+S3lZWVhpnizz//PEaMGCH8PpZJI36/31acLBE9mpqasHv3bmzZsiUq+7fiITIqx+v3+3Hy5EkMGzZM6JW10gZWgn3Dhg348MMPDWNIjZAkCceOHVPbovcOL168mJvEpfd4tba2Yvr06RGtKkiShAULFtjygLNiQZ2dnbZLMWvPobm5WS12QTiLLMtobGzE8OHDQ/pMS0sLRo8ejVdeeUWN649Vm7Zv34558+YZHtPMU272vVFugLbQlZ7W1la89tpruOqqqwxju0XFSuyUJud5wH0+H7cAlqi94dJfi8zEGipqY5+ELmrz8MMPw+/3Y/Dgwbjwwgstec5uvvlm7sP9ta99LRpNDIvOzs54N4H4f6SlpUV1/1aXf3kvYKNlXe0ycUFBAT788EPufpmRMHDgwCBj/utf/zpWrFhh+3yY11GU4Llx40ZUVVUFtZVXsn7nzp3c/dsJAVAUBU888YStbZh30G4ID+9etLe34+jRo8jNzSWNbQcJBAKYPn06gH/J1jGDbuzYsUhOTg7b0A43bCwQCAiTNLWT2aVLlwonsrIs44EHHjB87vTl1rXbila98vPzg56nOXPmoKqqysppqVh9HkQe8M2bN8ckxIOKzBCJjGvXQ9esWYPm5ma89tpr3GVEHjfffDMKCgpC/rnJ2L7kkkviFgZAxB720rGz9GplWdfr9SIpKUloaLPt7rjjjqCXnt/vx5AhQ8Lqg9oXsEgST9tW3nmIDG3G+vXrLbctEAhgwYIFtttvJ4RHdC8A4IILLrBtvF155ZW2ft9f0GtNs+saCARQWFioPidpaWlhe7SdnhR5PB40Njaivr4e7e3tht4tRVFw+PBh033OmDEjKBl3yZIl6OjoCPHg+v1+bN26NeR52rlzJ1pbW22dh9XnQRQ3zSrzaolWiAcVmSESFdca29dcc02ffKC8Xi+WLVsW72b0K2677ba4Hdvj8aCtrS3EqOYZccuWLcO+ffvQ0tJiSank4MGDpsdXFAWFhYXw+/0hleWYgSPLMubMmcM1crW/0b6AjSpCsrbaLb2uKAouu+wylJSUWN4mJSUFpaWlIW2RZRk+n0/9XJZlFBUVqe3Pzs5GQ0MD1qxZg4aGBuFytFFilt2JsyRJtg2h/sCtt95qaAgrimLbwJZlGWVlZZZ+a1YhVLTNhg0bkJKSohp/RsmciqKgvr7edL/PPvssGhoaUF9fj8bGRu7qG3uORV7ylpYW6yfy/8jOzkZ7e7s6ceA9D6K46cmTJ4etgEIQ/QXXGtvhcPToUWzevBk1NTV47rnnhMU54s21114b7yb0K3bt2hWX4zIDT1tQh3lGeQZ1IBBAbm4uFi5caChHB5x94a5bt85SOxRFQWNjozApsKOjA6tWrQo5pt7bqIV5w3gGd7il19nEpLS01PI27e3tKCgoQEdHB+rr69HU1IQlS5YAAJqbm9Wl+UAggNLSUnX1oK6uzpK0mlli1uLFiy0batHWdE40JElCaWkpiouLw046lWUZOTk5IZ8HAgFLxi0AlJSU4NixY1iyZEnQ5MyuAZ6SkhJxlctAIICenh4cP34c6enppqtePFJTU8M6tpnX2MgDbsVYJ4j+jGtjtsOhsrIy6O+vfe1rWLVqFTdrPZ4kJyfHuwlEFNFWfDNbeuW9NJkhrE9u1IaCFBYW2mrTxx9/zDXuhw4dKqxkpzUMFUUJiT9nMZTV1dVqHK1Z6fVvf/vbXNlLpi+slz0DjGNtr7vuuqDkRQAhMb3akIRly5bhyy+/xP/8z/+ETIB4sfXMwNAnZjU3NwclhzKDLxLJQrcTTsyzVlKxqKgIkyZNQlJSEnp6eoJCkgoLC8NK3A0EAhg9enTIsyTLMl5//XXT7TMyMlBQUAAAKCsrQ15eHo4fP46amhpDY533PPj9fkdWLl544YWgQlza/mlW0XTOnDkRF54ywihuWl+wiiAIDUoCUF1drVx22WXK008/zf3+4MGDylNPPaX84Q9/UP72t78pXV1dSl1dnTJ58mTl8ssvV5577jnD/ff29kaj2UKam5sVAI78kyRJ8Xg8ju2vr/8rLy9XWlpalEOHDildXV1KS0uLUlxc7Mi+b731VnW/jK6uLkWW5aDfeTwepaurS6mpqTG8d7t37w7aX1dXl9Lc3Kzs2rXLdtvuvPPOkM9kWVZ27dqldHV1KV1dXYokSab7OXToELdPd3V1hbRVf96SJHE/e/TRR5Wurq6wzisvL0/dpyzLyv/f3v2HR1HfeQB/z0YRAlipkNIuxCg1+CsRiMRD8awRCILl13MBbAkKhIIhPIWUeBSREE4KB5gEAjkRiUjUpxpPSEQNQeOdoEcTAyQiWCxJEFYp4IESEgTZuT/o7M3OfufHbvZXkvfrefpYZjez39mZnfnMdz7fz3fBggU+7z+9bdNun2jbbDabx7L29D8rx4bRcaz9TVRWVsqrV6/2y3cWEREhr1692vVbioiIsHwcKL9FtaqqKq+2rbKy0rVNRp/z+OOPW9pevfcox5/oN5SdnS1XVVX5eEUiokBrFz3b2ry2Pn36YMqUKejXrx+mTZuG/Px8PPzww7p//9133wW6iW569erll/UoI/XPnTuH7Oxsw/dZzXmUJAmLFi3C8uXL/dLGcDNs2DC33pdf/vKXiI6O9su633zzTcyaNQtdu3Z1lU7q2rWrsGe0a9eumDBhAu69915UV1cjLS3NoxrA7bffjrvuugtnz57FunXrLJX7i4mJQWNjo8fyl156yWOZLMuYNGkSbDabpck6IiIi0LNnT9e2ORwOV35oYmIi7r77bgDAwYMHUV9fj+zsbCxbtsy13ampqR49v7IsIz09HZcuXUK3bt0MP19k48aNrv/vdDqRm5vr8/TqH330kWsbtLp27ep6TfQUoL1P5y7/42mL6Bgx6/F+9913MWzYMJw9e9arspVW1g1cfVLUv39/HDhwwNXjCgC5ubmmn3PlyhXs378fXbt2dS3buXOn5bZNnjzZVaVGSYfR9rC/+OKLrgmuFixYgI0bN2LDhg262yWqSqL89vTOJ0qv98GDB3V7l1nSjazgceI9K6X/2lXOttaQIUMQHR2NI0eOoKmpKdTN8budO3ciKSnJcECZMmL+2WeftbROWZbRr18/Yb5iUlKSr00NG2+99VZA1z9ixAiP/F+jfEa73Y5x48YZDjCykqepEAXaemRVeoVRyTJRm4qLixEfH48ZM2a4JucoLi52q7CSk5ODJUuWoKioCKmpqXj55Zd125GZmYno6OhWV+pxOp1IT093fZfeDH5btmwZysvLsWHDBmE6gFJRJjIyUjggsz1PdqP3HUZERGDOnDmGf7t161ZhdRqrlO/VaD926dLFLefYbrcbdkCo162tmqE30DEzM9OtUggAt1SPZcuWITs72+13nJeXh3HjxrkFwMOHD8eqVat02xQREeE24Zb2t6c9nwAI6IQyZkI1zXs4Ty9PpNUueraN9OjRA8eOHUNLS4tPPWeB0Npa20qPdkJCAnbv3q3bQ6JUkEhISEDv3r2xZMkS0wudMro8Pz9fOGHJunXr/DIJjC/5n5mZmfjf//3fVuXF5uTkYMKECW4XP18HFInI/6j+cenSJYwcOdL1OWb5jEa5kGZ5moGi1Aa+8cYb3aaeV3LGZU1O97x581yDEYGrAYhyI2ild7K0tNRj+eTJk1FSUmJ5ApmIiAjMmjXLlXurBFKipweiNqjrKatrFovqhSvtUoIhsydM/mCz2TB16tSg5obbbDbh4M6srCyMGDECvXv3NpxUzOl0oqGhwaeqIsrnKjO+nj59WvhZohkeBwwYYLr+9PR0j9+lMmultn714sWLMW3aNDQ0NOD06dOuqj6KK1euYODAgW497HqTUSk3gdrvVDlnp6amYsKECbo1pZXziV5pSqtTu7eWP6Z5b0ufS+Sr9tsVA6C5uRlffvklIiMjLXXzB4sykMtba9asQVFREf793/8d3bp1g8PhwH//938L3ytJEnbu3Ok6AWlHkouoy7slJSVh06ZNroFf69evR3x8PP72t7+ZttOsJ9Fms6GiogKjR482XZciMzMT06ZNw9atWy3/jYhy4Vez2+2uChZWGW2jLMvIyspy9fZapVcNwF8Dar3peVUCgaysLKSlpaGystL1WlVVlTB4FgVToiBNr22FhYVu77XZbHj66actHyfq41fby6l9emCl2oRSs1gU0LzxxhtYuXKl2xTvVoK71sjIyMDOnTvxwAMPBK1Wf0ZGBjZt2iTch6tXr0ZycjIqKyuxdu1a3XUo1VtaM8eALMtYtmwZxo4da7mms9Lrq8dms2HWrFnC1woLC7Fr1y4sX74cu3btct10KcdVYmKibjtEv2PRJFBKG5T/amtqW6kpbVSaMtC8nea9rX8uUWu0+WC7qalJeGK5ePEinnnmGVy4cAEjR47ENdeETye+r6kMX3/9NWbMmIGsrCzMmDEDcXFxwsf/kiQhPz/fY1S68vixqKhI+BhcCc7V9Zi3bNniujDIsowPP/zQtJ1mwVV2djY++eQTvPPOO6brstlsyMnJweLFi/3Sw6uUpdM+fpw1a5ZXgcDq1auxdu1a06B7/vz5bp/j7aPPzZs3Izk52XK79Nx2221ePUlQB8nqi1lxcTHS0tKEfyOa3EKP+r0RERFIT08X5kG//vrrlkq43X///W43l4Dnd61+/F5bW4v8/Hy3dBORqqoq4XHndDo9bkSs3kSPHj3a66Dztddew6233ork5OSgzlpZWFiI6Oho3f2qHBvnzp0TbpPNZsOTTz4JAFi+fLlhu7XVpLSuXLmClpYWSzWdHQ6HsISk0kYlxcMokE1ISMCTTz4prO7hzcRIgDgolmXZVfWktrYWy5Yt87o32qw0ZSCFKtAP5Q0Gka8kOVhnbS+VlJS48iaPHDmCzz//HIMGDcJNN90E4OqJMCUlBSdOnMCwYcMQFxeHfv36oWfPnvj222/xySef4OTJk4iNjcXWrVsNe7aDORjA4XAgLi4uoJ9RVFSkW+7Q4XB4DNBRgvPU1FQ4HA7cfffdXgW13qSEKD3U8fHxlv4mMzMTixcvdg3Gmzlzps8BtyRJmDRpEt544w3h48clS5YYPg5XU08jvWzZMpSUlOi+t6ysDEOHDvX60afZvpAkCQkJCZZKnOkNGvRm3xUVFemmYijHEADX4C09SkqA+jE5AK+POy31d1pcXOyW6pKRkYFZs2YJg7KGhgY0NTUJp+TetWsXevfubdi2iIgIHDhwAHa73WP6bH+YPHkynn766VZ/P74qKytDQ0ODYb61r4MnvaF0CCQkJLj2m9603bt378bYsWM9lq9ZswYXL17Evffe65cSeWbtUL9Pu//Ux01rFBcXewyYFJ1X/D3wLZDbFI6f21FwgKT3rGROhG2wvXDhQmzbtk339fHjx2PlypVoampCbm4u6urq4HA48P333+O6665Dv379kJycjClTpqBz586GnxXMA0vvIuAvNpsNtbW1wpOONgBRSJKEiooKVw64N+1TLoAbNmzA9u3bDd+bk5ODuXPnYtu2bR75jkbGjBmDHTt2CEfpe0PJk9Q7SXt7I2RUG1qh7A/AM5g0u0AY7Qvls9UT5njrqaeegizLlibHiYiIwAsvvCDcb0899RRSU1Nd21FTU4MRI0YYBl+imw1vK1XotbO8vFz4+WY3ONpAWZuzbXQTUVZWhptvvtmvAfFTTz2F4cOH+/S79Bf1+UTvd+vPgNpKe6zk54oCMvXv32g96rrt/gzerAbFvrAS9AciiArkNoXj53YEDLa916aD7WBqTz3bSkAr+lyzXtL8/HwkJSV5FTAoAw7NeqoXL16MzMxM3YA/lJSeZ1/2jVGgoX5ioBcsKZ8tUlNTg+TkZN1SYvX19ZYDMG3PtujGw+hvlV58KzcMetsqKmem/Vtvb8REsrKydG8g1L2jIjU1NaiqqkJiYqLHexwOh26ZxgMHDni1P6xQP6Hy5YmTmiRJGDZsGD744AOvblozMjJc057rtSEzM9NtEhZ/UUpS5uXlmR43IuqATDTIU7SeQA+8s9oT7s36rN4YBCqI8vc2hfvntncMtr3X4Uv/hSO73Y7HHnvMb+tTchCV3GZRoA2YV7RQyq8B8KqiQt++fVFfX2964Z40aZJrYEuoAm3RoDhJktxmsvOW3rY88cQTqKurc12oRbmVNpsNp0+fFuZvK9OJa4M6dSkx0TpFJElyK0mmLVtmldU8Vb1t1X5XojzLEydOeNUmrYiICERFRem+7nQ6heUZFUZ5ugBw4403Yt68ecKSiFb3hy+U7741AwwrKyuxc+dOlJWVoa6uDp999plwqnOFJEmumwclqNMeR8p4iry8PJ+3XVSeUbkpevDBBy0dNyLqHH3RIE9lPUpuf01NjeHAO3+UmrMy6NEqdZnNUJT8U/hzm9rC5xL5gsF2CPir5ndOTg7q6upcA2z0Am2Hw4EzZ86YXgyVi4+3VRXMgoycnBzY7XZs3LgxZJN/KJNOGGlNtQS1Xbt2eQSh2kBV6VmcMWOGx4VSVI/YZrOhvLzco0a3WYUZ4Gqg1bdvX8PAw4g66DCqGa7XroiICNeEH2ragVx6g9rMqAe95ebmYuTIkaYDV72tXqAObJTJUiRJwpIlS5CUlITdu3cDgKX9YYUkSRg8eHCr16OmDDBUV2nJzc1FTk6O8PcryzKSk5ORnp7u2valS5ciNTUVRUVFbuec1NRU1NbWIiMjw60utrozICMjA6+99hqWL1+OzMxMt300adIkj+Plq6++wpEjR1o1ANCsesj+/ftd2zZixAjdgXfhEtgqWJGDqG1hsB0C/qiMUlRUhLlz55re3asriyj1agFxb5K6RJeoZ1LUK6zUXxYFGZIkuXrbHQ4HNmzY0NrN9tmqVauEvauyLLv1krW2112SJPTu3Vv4mroajPoxvvZCqVf9QlRLWFmnlUmLjAIPM+reRCs9StqgfO7cuR6l95QqFQpfq81s3rzZLfi32+3Iz8833EZvqhfoTcYiyzKys7PdgjAAlvcHAEyZMkW4/PHHH0d9fb1br6o/ngp16dLFY9kNN9yg+707nU78+c9/ditZt2XLFo9ykMDV42LZsmWora119Z7X1dW5ymquX78eU6ZMwY8//oj8/Hy3KkclJSUoLy9HWVmZaxyEUnlJubEB3J8keNPTLLoB1I55EH23SvWicAtsWZGDqG1hsB0Cffr08er9oqDYSq+XqLarJEkoKipCXV2dW+kz9UVMdGHKy8tzC2BsNpur+sTu3buRlJSEAwcOICMjw629N9xwAwAYppoEumawJEnIysrCM8884/GaupdMmXq8NbTBu5bdbseNN95oeKHUq6stCpSUdY4dO9bwe+zbt6/b+7W97GZEM+2ZBTvaoFwJwNXBl9JLaPT0xWazYfjw4Ybbpg3+lZ7WsrIyvPbaa8LfkKgEpIjZExl1EDZ//nwAENaDFnn11VeFy19++WW3XlR/TWykvWFTzhHeMgo4tfu9sLDQ7TsSDepVet27dOmC7Oxs4blCXdPcl55m7Q3ggAEDhN+pNkWoublZ2N7q6uqQzWAYypJ/ROS98Ck+3YGYVUfRSktLQ1FRkdvIayt5ano9pD179oTdbjectVDvNfWyyspK14ApJU1DXVJQmVUwKSnJdXHwtnSYPxhVCtH2rraWzWbTDYoVou9CfaFsbm4W/p2oZ1vN6PvT/q12/wJXg0q90ofamfZaM5BMG3ypZ55UB8XqmUvr6+uxa9cu023TDhhT2pyfn+9WvSAlJcWVE68cuwMGDPAYaObtExmn04nnnnsO48ePR3Z2NpYtW+YaoCc69vX2mfqpx/z587Fz585WDXIFxMFYVVWVz0G8coPo7aQrogGaSkqHMuOolizLrvNWa2ZN1M7kKtovsizjiSeewAMPPOCaXVb03SsDZUMxg6Fyw6ytyMH8ZaLwxJ7tEBgxYoRX7//1r39tmicrYqX3wyglQPSasgyAxwVPVAJPlmVUV1cDuBqwiXpRZVnG5s2bDQdr+eLBBx/U7bUdP348APfeVV+nbVd/x06nE8nJyYY9bWYDDa3sN22vslGvvKhXWmmHOn9Xb2IfSZLcZtprTb6o3uQeokf5kiTh1ltvBXC11r7etik91AUFBa7ezvj4eLdJUtS9muXl5a5a60r7s7Ozhb2kVgb/am3ZsgVjx45FTk4OlixZgrKyMlew7Aun04nS0lKPYyY/Px+1tbWutCQjomDMaIIihc1mw5gxY3SfOFi9sdS2ZenSpcKUDqMbY/VAZn+kUCi/Q237lFQZZTxFZWWlRwoUAJ+Of63WDLq0Mn6CiMIDg+0Q0Mvp1dOlSxfTPFnRSdvbWc7M1qemFzSJvPfee4iPj8f69evd8sYVSlpMbm4uZs6cado2EVGwMXXqVN1az6WlpR4XS19m9pQkCa+88orb51u5+BpdKM32m7eP0LOzsy0/CRF9X3PmzHH7e1FvqNVgx5up55Ve7/j4eGRlZXm8LkkSJk6ciOTkZIwdOxbZ2dluQXt2drZbwK38hkRpAerPVO87o8G/kiThvvvuM2z/smXLcPPNN+PQoUPC+vZWFRYWulK1tPnpFRUVpjcE2sG1Rjng48aNw8yZM1295jt27EB2drbb4Edl+3y9sZw7d66llA7g6veknu3RnykUqamp2LRpk+7r6l5zK5VNvOGPQZesyEHUNjDYDgFvS8yZpQ8YnbTVg/JeeOEFJCUlmX6elYuA1UGUwNXZQEUTjCj/XbJkCex2O4qLi7F582bT9mlpH0lLkoS1a9ciOjpa2J7HH39cGCzqPcI2IsuyMEi1cvE1ulAq++3DDz90C8ZFvcrz58/X3dbMzEzdKjVaevtU3atdXFwsrINtNdjRS5HRo62NrFizZg0qKirw+uuvG6ZB5OTkeNz0mFXP0Q4G1QaLY8aMcR1z//M//2MYNF+5cgU7d+70qC0vSRLmz59vOW/e6XS6UjbUx0xNTY2lGSuPHz/udgOtlwMuSRK2b9/uFlAqedZjx47Fzp07/XZjqd4W0T6RJAlr1qxxK6Gp/J2vnQgi0dHRhq+r02WMKpt4E+yzmghRx8JgOwQuXLhg+b1mJ3ErJ+3KykqkpaUJy8z5sj5AfMHTDqLUCyBkWcbUqVNd61+6dCkKCgpMp4MWBUiiXG9ZlnHu3DkkJye7vabUBf7DH/5gqQ60FTabDffee29ABivZ7Xb86le/cgsi9HJgS0tLPb77nJwcTJs2zVVDWO9JhRKEAXAr0afsU+XzHQ4H5s2bJ2yrcsNkxl+1qC9evIgDBw6Y7jOn0+lKY1KYlUzU7jt1sFhcXIy3337bbVwCAMPe76ysLOExmpeXh9///vd49tlnUVFRgX/5l3/R3Q6948lqPvnrr7/udgN94MAB3XJ/Ikp98tLSUuGNpfY71jLrgRWdT/Lz8zF9+nTDm1F/pFCY3QCKUu9aG+yzmghRx8IZJBHcGSQBYMWKFZamyAbcp4wWMZuZUDTrm9EMbN7MdOhwOFBVVeVWAlBZ3tDQgNOnT+tO7wxYL7MXERGBJ598Ujh4b/bs2Xj++eeFn6ENtNUzB2qn+/V16nNlhr1ATR+snc3L4XAIZ+tUTwuvHsAqqtetHsylHuio3i+SJGHp0qVuveJGU4YbzYSppZ3ZL9C11/UGsCnH6f79+10DGY32ndHsp0VFRejZs6fbukSzFvq7/b7ORqsc82YDOEVtATwnRFLPMtqaqc4DOSug3myLRrNzGh0PrWmrt+dlf+DMgGQFjxPvcbp2i4J9YGlzSY2YnYDNTtreThNu9SJgpRqF3kUsJSUFJSUlHp8tCpCVqckBCNu1cuVKYT6viHabtRfL4uJi/P73v7e0LqV9tbW1HjcZ/gwURCe+JUuWCG881NtnFkAcOHAAgOd3KnqfevuMAn1vtln5rrp06YIRI0YIA1JfA3HR0w4rvyOjfWfl+7R6s+mN5ORkTJw4EYmJiR7tMrr5saKsrAw333yzaz9oZyzVk5GR4VZRRqGujuKv4Nsqs2nLzc5XopvvgQMHBnQq8EDdoOthEEVW8DjxHqdrD1PeTElt9mjRH5UtvFkf4HuqiZLGMXLkSOFnDxkyxO3fEydOdE1NrtcuvXVpibZZVAc6JSVFdx3qVBZtioVofYGiF2CpK0MY1WVWjimz2s3aY0+ZLEZbni8vLw8AvKqqoHxXCQkJHutU1qsttaY3AYx6lsK1a9fixRdfNN0WhTqFxmjf6X1XNptNOFuor5MHaVVUVGDGjBmIj4/HkiVL3L7f1qTkKL8H9X7Q/r60szwqy2fNmiUcVKiuKqMMbg3GrItmY0ysnK9EkzAF+rfMaiJEHQd7thH8nu2JEyfi/ffft/z+Xbt2udIf9Bj1zPnSg2K0Pl96y9XrMuohNetRF7WroKDAYyp2dS+bN9ssapfSNqWnTukJbG5uDniPnaiXwcr3b7VnW2971e/Tbp/D4XDl6A4ePNgtXcXXmsPqdSrT2GtlZWUJ06/WrFmD2NhYt+PLX09n1O3TrlObmiSi/e0pT3WuXLli/qUIiNKA1Ck5VtJW1OvQ9giLnvaIzh1Gx5ee1qRJeJMCov0cb89X7RV7LMkKHifeYxqJRcE+sJ577jksX77c8vv9cVHwZ4qDP/INtYFOenq6aWqEkYKCAlfOtRIU6E3Yo0fvojxu3Dj827/9m1vpvdYGl1aJTnzeBJNKoKR+nzpg0gu2vblB8Xfuqd46y8vLPVJOJElCXV2d1zeYNTU1Husya7evj/1FN5vaXHFtvrzRaVmUtnLmzBn07NlTmKevlpycjDVr1rgCaSvHsd65Q/2bsxro+3IuM2qnrzeegc6PDkcMosgKHifeY7BtUbAPLG8GNvmSDxtoDocDGzdudOVt+ppvqL6IA+KcbL0Loqinq7U3FHq9l8rAw/r6ekRGRnrktvrjwq3Xc6d34rMa+Klzo48fPw5Zll35v3qByvLlyzFmzBjXNhv13geq11Bv+7ztjRYdD0YDHc3a7e+8fO1voKGhAW+99Ra2bNli+HfadqqPk23btunmihcVFWHcuHGtDkC1A2vnz5+PS5cuuc4JouDbl9+JWTt9ufEMRn50OGIQRVbwOPGelWCb07WHgN1uxz333INPP/3U9L1WJyQxGyDkL9qLbEZGBmbNmuXTZyq52Aqr0w/rBVza9fnSnokTJ7rVLZ44caJbb6Go19HKtNVGvO0pdzgciImJQXl5OVpaWgwDP+U7EX3GHXfcIZw2e8yYMZZTQ8ymnveVdjp5dV691ScWymtKXXslONObzMVKu1t7jFlZ38svv2z4N2btTExMFB6nStUgwLj0nNn2aXOgZVlGbm6u6zOUc0JlZWWrpxM3a6cylsPsc7w5boItWOduIgod9mwj+D3bAPAf//EfePrppw3fk5OTY2lCkmClNQTjcawvVSH81Qa9nm3As9SZWmtzUY22R9vL4Mu+Fn2GOqdd/blK+o0333G49hqKvquYmBhhT3yg04Gs0ntSoATPet+v6DjR9t6vXbvWbXIkX39HZlVQtD3P/n7aZHUsR1sQ6pQ0Ii0eJ95jz3aYKi4uNg20JUnChAkTTNelN9I+KSnJ7xed1vSGWWXUc+hwOLB9+/aAtUFvwhgjkiS1avY6b75TX/e16DO0j/htNhvKy8uRkJCA3bt3e/Udh2Ovod53VV5e7tETb2Wgo7/aZNaDKXpSoLTP7CmGmrJP1ANZtRVTrD5JstJGNW3Pc2ufNllpp7+fOARDMM/dRBRaDLaDzOFwWKrlLMuypQAyGAGwwteUAX88JlX3AGn5I20B0A90AP2gW5IkJCUl+fUz9bbH131tFhwBV7evpaXF6zYpwi3Y0fuuWlpahMGblWo/rTmG1T3NkiQhPz9f2IOpF1z6ciNgtk98vUnStlHLX7/H1rYz3AXz3E1EocU620Gm5I+asdlsli5YSgk3NX9f7BTKRdabaYrNauBaoe0BUvM1F1REtH15eXnIy8vTnXre6XS2aoplb75Tb2um632GzWYT1k9W1uPtflZqVVutsR0o6nYYfVfe1jdu7TGsTHOvnuJ93rx5ut9XMOsv2+2+1YZXtzEnJ6dVU5cHsp1mQnns+vp7JqK2hznbCG7OttVKJMo04GbrEtW6tZrr7Sur+ZH+yq82q5qh5Ib6a5CRqFSb1dkD/fWZClEurq/50erPEA1e05vO3Gg/+5pD7u8BYaJ2AGh1Lrk/jmG96iBKZRB/CHWeZVvMmQ5mvrRRG4I13iHUxwi1DTxOvMfSfxYF+8ASTcKiZWUim3CfrMFf7TMLeAJ90dTbjmBcoPXqbPsjsAnW4DW1QOwro3YAaNU2+uMY3rx5M7KysjyWr1mzBtOnT/e6TSK8QHonnGpvB+tGhccIWcHjxHucrj1MzZ07F7fddpvhe5T8WSPh/hjSX+0zSmuwOnV8a4i2Qxm0ForqFf56pN7a9RjlnIoEal+Z5b62Zht9OYa1qQk//elPhe/TW06B5+2xG0iBSpEhovDBYDsEHA4HvvjiC93XreZr+5JDHUz+bJ9eHmswLpp6udyBrl5hVajyTr0NRAO1rwJ50+ntMSzK71bqXqupa15T8IV7RwURtS9MI0Hw00jM6tQaVSsQCfd8yUC2L5iPg0PxPZs90tNOMrR06dKA5uuLPt9qzmkg91Wgc1+t7Huj7bM6SZCv+OjXe+FaHz5QeIyQFTxOvMecbYuCfWCVl5fjN7/5jeF7QpU/2Ba154um0YnPaIDshAkTgjYrnTc3IYHcV6G+6TTL7w5k+3iB/H/eDMAN9TETTDxGyAoeJ95jsG1RsA+sFStWYPXq1abvC5eBjm1Be71oGp34jGYbVGaHDJeZEdXa674K5aA7XiCvCocKI+GKxwhZwePEexwgGaaioqJM39OR8gf9kXPcEQcZ3XLLLcL637IsB3TAaGu1130V7mMo2rtgDJYmIvIFg+0QGDBggOHrHeki7Y9Jbzoqu92OpUuXmr4vVFUWOqJgTkhD7sKpwggRkRqnaw+B0tJSw9fLy8vDptJFIOn1RCUlJXWIGw1/UAZD5uTkuB6dy7IMdXZYR3pKEg7Cber6jkKpMKJN4+GxT0Shxp7tIHM4HNiwYYPhe44fPx6k1oQWe6L8Y+7cuaitrUVZWRlqa2uRn5/PVAbqcJjGQ0Thij3bQVZfXw+zMakfffSR36ZxDmfsifIfdW9qamoqkpKS2uUgRCIjPPaJKByxZzvIbrnlFtP3bN26tUMM6mFPVOC010GIRGZ47BNRuGGwHWR2ux2ZmZmG73E6nR0mlUIZUFZUVIQXXngBSUlJfv+MUM2wSERERMRgOwQWL16M+Ph43dc7WipFZWUl0tLSMGPGDL9XJGG1EyIiIgolTmqD4E9q43A4EBcXJ3yto03EEMiJQEI5yYi/cIIBsoLHCZnhMUJW8DjxHie1CVP19fW6r2VkZHSYQBsIbEUSVjshIiKiUGOwHQJGgyQ7d+4cxJaEXmRkpHB5ly5dWr1updqJWkdL0SEiIqLQYrAdAna7HYsWLRK+Nnz48CC3JrSam5uFy80m/rGC1U6IiIgo1JizjeDnbAPAhQsXMH78eHz66aeuZZMnT0ZhYWHQ2xJKDocD8fHxHrXHbTYbamtr/RIYOxyONlt3l/lzZAWPEzLDY4Ss4HHiPeZsh6ni4mJER0e7BdqZmZkdLtAGrvY+z5kzx2O5UflDb0v5se4uERERhQqD7SBzOByYN2+eR09uXl5eh60DPWvWLMu51SzlR0RERG0Jg+0g05uuXZZlVFdXh6BFoWc1t9rhcGD+/PmuCiNOpxOZmZkd9iaFiIiIwt81oW5AR2NluvaOKDU1FUlJSYa51Ual/JgiQkREROGIPdtBZrfbkZOT47FckiQMHjw4BC0KH2a51SzlR0RERG0Ng+0QmDt3LlavXg1JkgBcDbSXLl3K3lkTLOVHREREbQ3TSEJkwYIFaG5uxtKlSyHLMnJycnDDDTd0qNkjfWEl3YSIiIgoXLDONkJXZ/umm25yy0GOiIjAgQMHGECSC2uekhU8TsgMjxGygseJ91hnO4x9+eWXuoP9iIiIiKh9YLAdIrfeeqtwOQf7EREREbUfDLZD5JtvvhEuP3nyZJBbQkRERESBwmA7RHbv3i1cXlVVFeSWEBEREVGgMNgOkQceeEC4PDExMcgtISIiIqJAYbAdIoMHD8bkyZPdlk2ePBkJCQkhahERERER+RvrbIdQYWEhZsyYgaqqKiQmJjLQJiIiImpnGGyHWEJCAoNsIiIionaKaSRERERERAHCYJuIiIiIKEAYbBMRERERBQiDbSIiIiKiAGGwTUREREQUIAy2iYiIiIgChME2EREREVGAMNgmIiIiIgqQsJ3UprS0FDU1NTh48CCOHDmCy5cvY8WKFZgwYYLw/U1NTSgoKEBFRQVOnz6NqKgoJCcnIyMjA127dg1y64mIiIiIwjjYXrt2LRwOB3r06IGoqCg4HA7d9zY3N2PKlCk4fPgwhg4ditGjR+Pw4cMoKipCdXU1Xn31VVx33XVBbD0RERERURinkTz77LOorKzE3r17MXnyZMP3vvjiizh8+DBmzpyJzZs3Y8GCBdi8eTNmzpyJzz77DFu2bAlOo4mIiIiIVMI22L7vvvtgt9tN3yfLMkpKShAZGYn09HS319LT0xEZGYmSkpJANZOIiIiISFfYBttWNTY24tSpUxg0aBAiIyPdXouMjMSgQYNw/PhxfPPNNyFqIRERERF1VG0+2D527BgAICYmRvi6sryxsTE4DSIiIiIi+oewHSBp1fnz5wEA3bp1E76uLG9qatJdx09+8hPYbMG/7+jRo0fQP5PaHh4nZAWPEzLDY4Ss4HHif22+Z9sfQhFoExEREVH71+ajzO7duwPQ77lWluv1fBMRERERBUqbD7ZvuukmAPo52cpyvZxuIiIiIqJAafPBdkxMDKKiorBv3z40Nze7vdbc3Ix9+/ahT58++PnPfx6iFhIRERFRR9Xmg21JkpCSkoLm5mYUFha6vVZYWIjm5mZMnDgxRK0jIiIioo5MkmVZDnUjREpKSlBTUwMAOHLkCD7//HMMGjTIlTaSkJCAlJQUAFd7sB977DF88cUXGDp0KO644w4cOnQIe/bsQVxcHF555RV07tw5ZNtCRERERB1T2AbbCxcuxLZt23RfHz9+PFauXOn69/nz51FQUICKigqcOXMGvXr1wsiRIzFnzpywGRxZV1eHgoIC7N+/Hz/++CNiY2PxxBNPYNSoUaFuGoWJpKQkOBwO4WuJiYkoLi4OcosoVEpLS1FTU4ODBw/iyJEjuHz5MlasWIEJEyYI39/U1OQ6B54+fRpRUVFITk5GRkYGunbtGuTWU7B4c5wUFBRg/fr1uuv64IMP0KdPn0A2l0Lg73//O9577z189NFHqK+vx5kzZ/CTn/wEgwYNQlpaGu6++26Pv+H5xL/Cts72ypUr3YJpM927d8eiRYuwaNGiALbKd3v37kVaWho6deqE0aNHo2vXrqioqMD8+fNx8uRJTJ8+PdRNpDDRvXt3PP744x7L7XZ7CFpDobJ27Vo4HA706NEDUVFRujdhwNWne1OmTMHhw4cxdOhQjB49GocPH0ZRURGqq6vx6quv4rrrrgti6ylYvDlOFOPHjxeeT66//vpANJFCrLi4GJs2bUJ0dDTuv/9+/PSnP8WxY8fw/vvv4/3338dzzz3n1unH80kAyBRwly9flocNGybfdddd8qFDh1zLv//+e3nEiBHynXfeKZ84cSKELaRw8dBDD8kPPfRQqJtBYeDjjz92nRc2btwox8bGyv/5n/8pfO/atWvl2NhYefXq1W7LV69eLcfGxsrPP/98wNtLoeHNcbJu3To5NjZW3rt3bzCbSCG2c+dO+S9/+YvH8urqavnOO++UBw8eLP/www+u5Tyf+F+bHyDZFuzduxdfffUVHn30Udx+++2u5d27d8fs2bNx+fJlw5QZIup47rvvPktPM2RZRklJCSIjI5Genu72Wnp6OiIjI1FSUhKoZlKIWT1OqOMaMWIEEhMTPZbfc889uPfee/Hdd9/hr3/9KwCeTwIlbNNI2pOqqioAwNChQz1eU5ZVV1cHtU0Uvi5duoS33noLp06dQrdu3RAXFyfMqSMCrs4lcOrUKQwdOhSRkZFur0VGRmLQoEHYs2cPvvnmG5ZAJQBXrze1tbWw2WyIiYnBkCFDmIfbQV1zzTVu/+X5JDAYbAeBMrGOUklFrVevXoiMjMSxY8eC3CoKV6dPn8Yf//hHt2VxcXHIzc1FdHR0iFpF4Uo5d+hN3BUTE4M9e/agsbGRF0cCcHWgpNr111+Pp59+GuPGjQtNgygkvv76a3zyySfo1asXYmNjAfB8EigMtoNAmTJemVpeq1u3bjh//nwwm0RhasKECUhISEBsbCwiIyPR2NiIl156CaWlpXjiiSdQVlYWNtV1KDwo5w6940JZrpyHqOO67bbb8Kc//QmJiYmIiorC6dOn8V//9V9Yt24dFi5ciO7du+Phhx8OdTMpCC5fvoynnnoKly5dwoIFCxAREQGA55NAYbBNFEYyMjLc/n377bdj1apVAK6W+CopKcG0adNC0TQiauOGDx/u9u8+ffpgypQp6NevH6ZNm4b8/HwG2x2A0+nEwoULUV1djYkTJ/KJRhBwgGQQKHeCer3XTU1Nur3eRAAwadIkAMC+fftC3BIKN8q5Q6+nSVnOJyKkZ8iQIYiOjsaRI0fYY9nOOZ1OLFq0CDt27MCYMWOQk5Pj9jrPJ4HBYDsIlNwnUV726dOn0dzcLMznJlL06NEDwNX6p0RqyrlDGRuipSzXy8EkAv7/HNPS0hLillCgOJ1O/PGPf8S2bdvw6KOPYuXKlbDZ3MNAnk8Cg8F2EAwePBgAsGfPHo/XlGXKe4hE6urqAHBiG/IUExODqKgo7Nu3z+NmrLm5Gfv27UOfPn04mIl0NTc348svv0RkZKQr6Kb2RQm0t2/fjlGjRmHVqlWuPG01nk8Cg8F2EAwZMgR9+/bFjh07cPjwYdfy8+fP4/nnn8e1117LnCnC0aNHhb1KR48exZo1awAAv/71r4PdLApzkiQhJSUFzc3NKCwsdHutsLAQzc3NmDhxYohaR+GiqakJDQ0NHssvXryIZ555BhcuXMDIkSNdJeCo/VBSR7Zv346RI0di9erVwkAb4PkkUCRZluVQN6Ij0Juu3eFw4F//9V85XTuhoKAAL730EgYPHoxf/OIX6NKlCxobG/HRRx/h8uXLmDVrFjIzM0PdTAqSkpIS1NTUAACOHDmCzz//HIMGDXI95k1ISEBKSgqAqz1Ojz32GL744gsMHToUd9xxBw4dOoQ9e/YgLi4Or7zyCjp37hyybaHAsXqcnDhxAsOGDUNcXBz69euHnj174ttvv8Unn3yCkydPIjY2Flu3bmXPdjtUUFCA9evXIzIyElOnThXeUA0bNsw16R7PJ/7HYDuI6urqsG7dOuzfvx8//vgjYmNjMW3aNIwaNSrUTaMwUFVVhddeew2HDx/GmTNncPHiRfTo0QPx8fH4zW9+I5wUidqvhQsXGs4sO378eKxcudL17/Pnz6OgoAAVFRU4c+YMevXqhZEjR2LOnDkczNSOWT1OmpqakJubi7q6OjgcDnz//fe47rrr0K9fPyQnJ2PKlCkMoNops2MEAFasWIEJEya4/s3ziX8x2CYiIiIiChDmbBMRERERBQiDbSIiIiKiAGGwTUREREQUIAy2iYiIiIgChME2EREREVGAMNgmIiIiIgoQBttERERERAHCYJuIiIiIKEAYbBMRERERBQiDbSKidq6urg79+/dH//79sX79+lA3h4ioQ2GwTUTUzpWWlrr+/9tvvx3ClhARdTwMtomI2rHLly/jnXfeAQD06tULjY2NqK2tDXGriIg6DgbbRETt2O7du3H27FkMGjQIjz32GAD3nm4iIgosBttERO1YWVkZAGDMmDEYM2YMAODdd9/F5cuXhe//4osvMHv2bNxzzz0YOHAgfvvb3+Ljjz/GX/7yF/Tv3x8LFy70+BtZlrFjxw5MnToVgwcPRlxcHB555BEUFBSgpaUlcBtHRNQGMNgmImqnzp8/j8rKSlx77bV45JFH0LdvXwwcOBBnz57F7t27Pd6/f/9+TJ48GR9++CF+8Ytf4KGHHsIPP/yAtLQ07Nq1S/gZTqcTCxYswB/+8Ad89tlnuO222/Dggw+ipaUF69evx9SpU3Hx4sVAbyoRUdi6JtQNICKiwCgvL8cPP/yAhx9+GDfccAOAqz3c+/fvR2lpKZKSklzvdTqdWLhwIVpaWjB//nzMnj3b9VpJSQkWL14s/IyioiLs2LEDiYmJyM3NRa9evQAAly5dQk5ODt58802sX78eCxYsCNyGEhGFMfZsExG1U+oUEsUjjzyCa6+9Fh9++CHOnz/vWr537140NjYiJiYGv/vd79zWk5KSgkGDBnms/8cff8SLL76IyMhI5OXluQJtAOjUqROeeeYZ9OrVC2+88QacTqe/N4+IqE1gsE1E1A59/fXXqK6uxvXXX+/Wg92jRw/88z//M3744QeUl5e7lu/btw8AMGLECNhsnpeGUaNGeSw7dOgQzp49i4EDB6Jnz54er3fu3Bl33nknvvvuOzQ2Nvphq4iI2h6mkRARtUNvv/02ZFlGcnIyOnXq5PbamDFj8MEHH6CsrAwpKSkAgFOnTgEAevfuLVzfz3/+c49lJ06cAAB8/PHH6N+/v2F7zp496/U2EBG1Bwy2iYjaIaW8X1VVlavkn0KpRFJdXQ2HwwG73e7TZ8iyDAC46aabhGkmakrOOBFRR8Ngm4ionTl48CCOHj0KADh27BiOHTsmfJ8sy3j77bcxe/ZsREVFAQBOnjwpfK9o+c9+9jMAwC233IKVK1f6o+lERO0Oc7aJiNoZZWDk9OnT8de//lX4v+LiYrf3Kj3Tu3btcvVYq7333nsey+Lj49G9e3dUVVXh3LlzAdoaIqK2jcE2EVE7cuXKFdf07I8++qju++655x787Gc/w9GjR3Hw4EH80z/9E2JiYtDQ0IBNmza5vfett97Cp59+6rGOTp06IS0tDRcuXMDcuXNx/Phxj/f8/e9/x/bt21u3UUREbRjTSIiI2pE9e/bgzJkziImJwZ133qn7PpvNhlGjRuGll15CaWkp7rrrLqxcuRLTpk3Dc889h3feeQe//OUv8dVXX+Gzzz7Db3/7W7z66qu49tpr3dbzu9/9DvX19SgtLcUjjzyCO+64A3369MHly5fR0NCAv/3tb+jfvz/GjRsX4C0nIgpP7NkmImpHlLQQo15txejRowEA77zzDn788UcMHDgQf/7zn/HQQw/hxIkTqKysxDXXXIMXXngBAwYMAOA50NFms2HVqlUoLCzE/fffjxMnTqCiogI1NTXo1KkTZsyYgT/96U9+3UYiorZEkkXJeURERCpLlizB66+/jry8PGHNbSIiEmPPNhERAQDOnTvnqp2t9u677+LNN9/E9ddfj1/96lfBbxgRURvGnG0iIgIANDY2YtKkSejfvz/69u0LADh69CgaGhoQERGBnJwcREZGhriVRERtC9NIiIgIAPDtt99iw4YN2Lt3L06dOoWWlhb06NEDAwcOxPTp0zFw4MBQN5GIqM1hsE1EREREFCDM2SYiIiIiChAG20REREREAcJgm4iIiIgoQBhsExEREREFCINtIiIiIqIAYbBNRERERBQgDLaJiIiIiAKEwTYRERERUYD8H/FUO8T1h4xlAAAAAElFTkSuQmCC\n", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(data.age, data.bmi, \"k.\");\n", + "plt.xlabel(\"Age\")\n", + "plt.ylabel(\"BMI\");" + ] + }, + { + "cell_type": "markdown", + "id": "829a0893", + "metadata": {}, + "source": [ + "We are going to model 3 quantiles, 0.1, 0.5 and 0.9. For that reasoson we are going to fit 3 separated models, being the sole different the value of `kappa ` of the Asymmetric Laplace distribution, that will be fix at a different value each time. In the future Bambi will allow to directly work with the parameter `q` instead of `kappa`, in the meantime we have to apply a transformation to go from quantiles to suitable values of `kappa`.\n", + "\n", + "$$\n", + "\\kappa = \\sqrt{\\frac{q}{1 - q}}\n", + "$$" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "e84c071d", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [Intercept, bs(age, knots = knots), bmi_b]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
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One feature that stand-out is that the gap or distance between the median (orange) line and the two other lines is not the same. Also the shapes of the curve while following a similar pattern, are not exactly the same." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "dd1ecfae", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(data.age, data.bmi, \".\", color=\"0.5\")\n", + "for idata, q in zip(idatas, quantiles):\n", + " plt.plot(data.age.values, idata.posterior[\"bmi_mean\"].mean((\"chain\", \"draw\")),\n", + " label=f\"q={q:}\", lw=3);\n", + " \n", + "plt.legend()\n", + "plt.xlabel(\"Age\")\n", + "plt.ylabel(\"BMI\");" + ] + }, + { + "cell_type": "markdown", + "id": "a0156578", + "metadata": {}, + "source": [ + " To better undestand these remarks let's compute a simple linear regression and then compute the same 3 quantiles from that fit. " + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "ca8ac2ab", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Auto-assigning NUTS sampler...\n", + "Initializing NUTS using jitter+adapt_diag...\n", + "Multiprocess sampling (4 chains in 4 jobs)\n", + "NUTS: [Intercept, bs(age, knots = knots), bmi_sigma]\n" + ] + }, + { + "data": { + "text/html": [ + "\n", + "\n" + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "data": { + "text/html": [ + "\n", + "
\n", + " \n", + " 100.00% [8000/8000 00:37<00:00 Sampling 4 chains, 0 divergences]\n", + "
\n", + " " + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 37 seconds.\n" + ] + } + ], + "source": [ + "model_g = bmb.Model(\"bmi ~ bs(age, knots=knots)\",\n", + " data=data)\n", + "idata_g = model_g.fit()\n", + "model_g.predict(idata_g, kind=\"pps\")" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "f541473c", + "metadata": {}, + "outputs": [], + "source": [ + "idata_g_mean_quantiles = idata_g.posterior_predictive[\"bmi\"].quantile(quantiles, (\"chain\", \"draw\"))" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "0a55145a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.plot(data.age, data.bmi, \".\", color=\"0.5\")\n", + "for q in quantiles:\n", + " plt.plot(data.age.values, idata_g_mean_quantiles.sel(quantile=q),\n", + " label=f\"q={q:}\");\n", + " \n", + "plt.legend()\n", + "plt.xlabel(\"Age\")\n", + "plt.ylabel(\"BMI\");" + ] + }, + { + "cell_type": "markdown", + "id": "70b1baa6", + "metadata": {}, + "source": [ + "We can see that when we use a Gaussian family and from that fit we compute the quantiles, the quantiles q=0.1 and q=0.9 are symetrical with respect to q=0.5, also the shape of the curves is essentially the same just shifted up or down. Additionally the Asymmetric Laplace family allows the model to account for the increased variability in BMI as the age increases, while for the Gaussian family that variability always stays the same." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "be6dada2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Last updated: Thu Dec 08 2022\n", + "\n", + "Python implementation: CPython\n", + "Python version : 3.9.0\n", + "IPython version : 8.6.0\n", + "\n", + "numpy : 1.23.4\n", + "bambi : 0.9.1\n", + "matplotlib: 3.5.2\n", + "pandas : 1.5.1\n", + "scipy : 1.9.3\n", + "arviz : 0.15.0.dev0\n", + "\n", + "Watermark: 2.3.1\n", + "\n" + ] + } + ], + "source": [ + "%load_ext watermark\n", + "%watermark -n -u -v -iv -w" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "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": "3.9.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}