"
],
"text/plain": [
" Name Miles_per_Gallon Cylinders Displacement \n",
"0 chevrolet chevelle malibu 18.0 8 307.0 \\\n",
"1 buick skylark 320 15.0 8 350.0 \n",
"2 plymouth satellite 18.0 8 318.0 \n",
"3 amc rebel sst 16.0 8 304.0 \n",
"4 ford torino 17.0 8 302.0 \n",
"\n",
" Horsepower Weight_in_lbs Acceleration Year Origin \n",
"0 130.0 3504 12.0 1970-01-01 USA \n",
"1 165.0 3693 11.5 1970-01-01 USA \n",
"2 150.0 3436 11.0 1970-01-01 USA \n",
"3 150.0 3433 12.0 1970-01-01 USA \n",
"4 140.0 3449 10.5 1970-01-01 USA "
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"cars = data.cars()\n",
"cars.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "FLuNEZG2L-4Z"
},
"source": [
"## 1D scatter plot"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "D5jSlFa8L-4a"
},
"source": [
"Let's consider the `Acceleration` column as our 1D data. If we ask pandas to plot this series, it'll produce a line graph where the index becomes the horizontal axis. "
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"id": "dDEr9LKBL-4c",
"outputId": "31ed15df-01b8-4a41-968d-24b7ae24afbd"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAiwAAAGdCAYAAAAxCSikAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAADNnklEQVR4nO29eZgc1XU2/lZ3T/eMpFm0jwYkJFaZRYAxCAHGIsgs9mezecMLix342Z/4EkK8hHyOFyCR7eRziGMCjm3Ajo2xnQDGNpYNAsQmNoEAgRFISAiQRvvMaEazdXf9/ui+VefeureW7urumtF5n2ee6aW66lbVrXvPfc97zrFs27bBYDAYDAaDkWCkGt0ABoPBYDAYjCCwwcJgMBgMBiPxYIOFwWAwGAxG4sEGC4PBYDAYjMSDDRYGg8FgMBiJBxssDAaDwWAwEg82WBgMBoPBYCQebLAwGAwGg8FIPDKNbkAcKBaL2LJlC1pbW2FZVqObw2AwGAwGIwRs28bevXvR1dWFVMqfQxkXBsuWLVswe/bsRjeDwWAwGAxGBXjrrbdw4IEH+m4zLgyW1tZWAKUTbmtra3BrGAwGg8FghEFfXx9mz57tzON+GBcGi3ADtbW1scHCYDAYDMYYQxg5B4tuGQwGg8FgJB5ssDAYDAaDwUg82GBhMBgMBoOReLDBwmAwGAwGI/Fgg4XBYDAYDEbiEclgWbZsGU488US0trZixowZOP/887Fu3Tppm8WLF8OyLOnv85//vO9+bdvG1772NcyaNQstLS1YsmQJXn/99ehnw2AwGAwGY1wiksGycuVKLF26FE8++STuv/9+jI6O4qyzzsLAwIC03RVXXIGtW7c6f9/5znd89/ud73wH3/ve93DLLbfgqaeewsSJE3H22WdjaGgo+hkxGAwGg8EYd4iUh2X58uXS+9tvvx0zZszA6tWrcfrppzufT5gwAZ2dnaH2ads2brzxRnz1q1/FeeedBwD46U9/ipkzZ+Kee+7BJz7xiShNZDAYDAaDMQ5RlYalt7cXADBlyhTp85///OeYNm0ajj76aFx77bXYt2+fcR8bN25Ed3c3lixZ4nzW3t6OhQsXYtWqVdrfDA8Po6+vT/pjMBgMBoMxflFxpttisYirr74ap556Ko4++mjn809+8pM46KCD0NXVhRdffBFf+cpXsG7dOtx1113a/XR3dwMAZs6cKX0+c+ZM5zsVy5Ytwze/+c1Km85gMBgMBmOMoWKDZenSpVi7di0ee+wx6fMrr7zSeX3MMcdg1qxZOPPMM7FhwwYccsghlbeU4Nprr8U111zjvBe1CBgMBoPBYIxPVOQSuuqqq/C73/0ODz30UGB1xYULFwIA1q9fr/1eaF22bdsmfb5t2zajDiaXyzl1g7h+EIPBYDAY4x+RDBbbtnHVVVfh7rvvxoMPPoh58+YF/mbNmjUAgFmzZmm/nzdvHjo7O7FixQrns76+Pjz11FNYtGhRlOYxGAwGI8EYyRfxo0ffwLruvY1uCmMMIpLBsnTpUvzsZz/DHXfcgdbWVnR3d6O7uxuDg4MAgA0bNuD666/H6tWrsWnTJtx777245JJLcPrpp2PBggXOfubPn4+7774bQKlC49VXX40bbrgB9957L1566SVccskl6Orqwvnnnx/fmTIYDAajobj18Y244fd/xtk3PtLopjDGICJpWG6++WYApeRwFLfddhsuu+wyZLNZPPDAA7jxxhsxMDCA2bNn46KLLsJXv/pVaft169Y5EUYA8OUvfxkDAwO48sor0dPTg9NOOw3Lly9Hc3NzhafFYDAYjKThpbd7gzdiMAywbNu2G92IatHX14f29nb09vaynoXBYDASir/6xfO494UtAIBN3/pgg1vDSAKizN9cS4jBYDAYdUEmZTW6CYyQ6BsaxS0rN+DtPeY8avUGGywMBoPBqAtSbLCMGfzDPWvxrT+8ivNverzRTXHABguDwWAw6gJmWMYOHnt9JwBgZ/9Ig1vigg0WBoPBYNQFzLCMHSRR3MoGC4PBYDDqAmZYGNWADRYGg8Fg1AUpiw2WsYIkBhCzwcJgMBiMuoAZFkY1YIOFwWAwGHVBmg0WRhVgg4XBYDAYdQEbLIxqwAYLg8FgMOoCarAkUSPBcJHEu8MGC4PBYDDqAmqwjBaSOCUyBJJoT7LBwmAwGIy6ICMZLMUGtoQxFsEGC4PBYDDqApo4Ls8MS6KRRJcdGywMBoPBqAtoHpYRZlgYEcEGC4PBYDDqArpozxfZYEkyksevsMHCYDAYjDqhSCyW0XwSp0SGgwTeHjZYGAwGg1EXUF3EKDMsjIhgg4XBYDAYdUGRrNo5SogRFWywMBgMBqMuoC6hekYJFYs2bn1sI156u7dux2TEj0yjG8BgMBiM/QOUYalnlNB/P/c2rvvdKwCATd/6YN2OO5aRQAkLMywMBoPBqA/sBjEsL7/DzMp4ABssDAaDwagLpCihOjIs+WIS+YJkgxPHMcYlduwdxi0rN2DH3uFGN4XBYCQYjRLdFhM4+SYdSbxirGFhVI0r/+tZPL+5B/e/sg3/84VTGt0cBoORUDRKdFtghmVcgBkWRtV4fnMPAGD1m3sa2xAGg5Fo2A1iWNglFB1JJKXYYGEwGAxGXVAs0sRx9Q1rZox9sMHCYDAYjLqAmg2j+foxLFwYOjrsBKpY2GBhMBgMRl0gaVjqmJqfGZbxATZYGAwGg1EX2FLiuPoZEVwZenyADRYGg8Fg1AVylFAdXULMsEQGi24ZDAaDsd+iUYnj2GAZH2CDhcFgMBh1gZw4ro55WNheiYwkXjI2WBgMBoNRF9gNY1jcYyUx5TwjHNhgYTAYDEZdQLWvjcp0y96hkEjgdWKDhcFgMBh1QaM0LJKhxBFDocB5WBgMBoOx36JxGhb3WCzAHbtgg4XBYDAYdUGjNCy0lhDXFQqHJEp92GBhMBgMRl3QqEy3VHTLWW/HLthgYTAYDEZdQG2FkXw9Rbfua2ZYxi4iGSzLli3DiSeeiNbWVsyYMQPnn38+1q1b53y/e/du/J//839wxBFHoKWlBXPmzMFf/dVfobe313e/l112GSzLkv7OOeecys6IwWAwGIkENRXqybCM5AvOa9awhEMSr1Ikg2XlypVYunQpnnzySdx///0YHR3FWWedhYGBAQDAli1bsGXLFvzLv/wL1q5di9tvvx3Lly/H5z73ucB9n3POOdi6davz94tf/KKyM2IwGAxGItGoKKERcixmWMYuMlE2Xr58ufT+9ttvx4wZM7B69WqcfvrpOProo/E///M/zveHHHII/vEf/xGf/vSnkc/nkcmYD5fL5dDZ2Rmx+QwGg8EYK5BFt/UzHEbyrGGJiiQm2KtKwyJcPVOmTPHdpq2tzddYAYCHH34YM2bMwBFHHIEvfOEL2LVrl3Hb4eFh9PX1SX+MxiFlNboFDAZjLIB6gerKsOSZYRkPqNhgKRaLuPrqq3Hqqafi6KOP1m6zc+dOXH/99bjyyit993XOOefgpz/9KVasWIFvf/vbWLlyJc4991wUCgXt9suWLUN7e7vzN3v27EpPgxEDLIstFgaDEQy5WnNjGJYCJ44LhSSadZFcQhRLly7F2rVr8dhjj2m/7+vrwwc/+EEceeSR+MY3vuG7r0984hPO62OOOQYLFizAIYccgocffhhnnnmmZ/trr70W11xzjXQsNloaBzZXGAxGGEhRQqxhYURERQzLVVddhd/97nd46KGHcOCBB3q+37t3L8455xy0trbi7rvvRlNTU6T9H3zwwZg2bRrWr1+v/T6Xy6GtrU36YzQOKWZYGAxGCNgSw1Ifg6VYtCW9DEcJhUMCJSzRDBbbtnHVVVfh7rvvxoMPPoh58+Z5tunr68NZZ52FbDaLe++9F83NzZEb9fbbb2PXrl2YNWtW5N8yGgC2VxgMRggUGyC6VZkcNljGLiIZLEuXLsXPfvYz3HHHHWhtbUV3dze6u7sxODgIwDVWBgYG8OMf/xh9fX3ONlSPMn/+fNx9990AgP7+fnzpS1/Ck08+iU2bNmHFihU477zzcOihh+Lss8+O8VQZtQKLbhkMRhjItYTqw7AM5+XjsEto7CKShuXmm28GACxevFj6/LbbbsNll12G5557Dk899RQA4NBDD5W22bhxI+bOnQsAWLdunRNhlE6n8eKLL+InP/kJenp60NXVhbPOOgvXX389crlcJefEqDMsplgYNcS9L2zBlAlZnHbYtEY3hVEl5NT8dWJY8sywjBdEMliC4rIXL14cKnabbtPS0oI//vGPUZrBSBhYwsKoFXb2D+OvfvE8AODhLy7G3GkTG9wiRjWwG8CwsEto/IBrCTGqBtsrjFqhfyjvvP7WH15tYEsYcYAyLPUSdTLDMn7ABgujanCUEKNWKJBZbfnL3RgYzvtszUg6qMFSrJPFohosrGEZu2CDhVE12F5h1ApqGnV18mGMLdDb2TiGhfvQWAUbLIyqwZluGbVCQZnV6rUqZ9QIksFSn3s5nJczptcxXx0jZrDBwqgabK8wagU1fXtUNn/H3mHcsnIDduwdjrFVjEohu4Tqc0xmWMYP2GBhVA22Vxi1gsqoRF2V/3//9Sy+9YdXceV/PRtnsxgVQhLd1qlazXCBNSzjBWywMKoGFd0msSQ5Y+xCjeiIOtc8t7kHAPB8+T+jsaD3r1EMy+9e2Irla7vrc3BGrGCDhVE1qEuIFy+MOOFhWBJZQ5YRFnYCwpqXv9yNz/9sNYZGC4ZfMJIKNlgYVYOKbvPsH2bECFUgyQbx2EaxAaJbU2QZC7jHHthgYVQNqmFhe4URJzwuIbZYxjQakofFEBbE9srYAxssjKpBXULMsDDihFd026CGMGKBxLDU6ZimEgDMsIw9sMHCqBpUdMv2CiNOeEW3PMmMZVA3UL3YstGC/jhM1o09sMHCqBrUJcQMCyNOqInjxtMcs61vCLes3IDdAyONbkrdIIc11wcmhoUjGsce2GBhVA362KsTDINRDdRV+HhiWG5/YhO+9YdXceczmxvdlLqhEan5Rw2i23HUlfYbsMHCqBqUtudKqIw4oSb5Gk+rYlHIcX8q6NgI0e2oYUwaT8bv/gI2WBhVg44HbLAw4oSXYWlQQ2oAMWGOp3MKgt0IhsUouq3P8RnxgQ0WRtWgq142WBhxYjwXPxSPyng6pyDYjWBYjC6h/ee6jxewwcKoGnTg4TodjDjhzcPSoIbUAGLC3J/mzSSFNe9Hl33cgA0WRtWQ6oOwwcKIEeM5Nb8wvvanZ0aKEmINCyMi2GBhVA064DLDwogT6uJ4PM0xwvjanx6ZhmhYjKn563N8Rnxgg4VRNYqsYWHUCOM5rHl/1LA0JEqobPU2pS3p8/2J2RovYIOFUTU4SohRK3hFtw1qSA1QdDQs4+ikAiAbLPU5pnAJNWfS0uf70WUfN2CDhVE1JIZlDI4Cb+4awA9WbmhYPoyh0QL+85EN2LCjv6bHeWVLH3706BvIa0SIv1nzDh56dXtNj18JTKn5t+8tZYnd1T/ciGbFAtthWBrbjnpCPdd6GGvCJZRrUgyWcaSH2l+QaXQDGGMf9hhnWN7/r49gJF/E23sGcf35R9f9+A/8eRv+6b5X8cLbvbjpk++u2XE+8L1HAQDplIXLT53nfL61dxB/fecaAMCmb32wZsevBKbih5ff9gxe3tKHlet24BdXntyAllUPMVnvTy4h1UCxbbl4ai0gXEItWXl9PgaHqv0ezLAwqoYU1mwoNJZkjJRXYE9v3N2Q4+8dKjE7/UP1YXheeKtHet+zb9R5nTSDU+1PYsJ7eUsfAGDVG7vq3qa4UGSGpS4chwgEaFEYlv3JUBwvYIOFUTUKDRDS1QK1XumZIIyEehkLI4pLiIoRTTkrGgW1P42nyX1/17Do3tcCYkHSrLqE9qPrPl7ABgujKti2LbmEOKw5OoShUq9K1yN5+R6lrOQaLCYNy3iAq2EZP+cUhEZEfYk+rYpueagae2CDhVEV1PFmLIcKWg2iWMSkXK8srirDkk5RgyVZ9298p+bfv/Ow6N7XAqJPN2c5Smisgw0WRlVQJxBmWKJDXMP6MSwF6b0F12DRRRA1Eh4DeBx1r/2SYTGIqGsJR3TbpIpua3vwkXwRP3r0Dazr3lvT4+xPYIOFURXU+SRpos0oaJCExdWw1OnSjSiZP+nArbIvjYbanDHcvTxwNSwNbkgd4bU/6+gSqrPo9vYnNuKG3/8ZZ9/4SE2Psz+BDRZGVVAf+jFtsDRKdGsL0W19jAXV7UPvIbuE6of9MdOtaqDUY7hwXEJ1Thz3wlu9tT3Afgg2WBhVwWOwjOHBt1EGS9GJEqrP8bwMi/s6aaLb8Zya394PNSyNSByXd/Kw1Ndg4cR08YMNloThjqc2NywfSBQ8s2k3fv7UmxqXULImvCiwGuQUyhfrzbDIx7ElhiVZ9081gMeRvUJEt+PopAKgGij1MNZGygxLrs4alnoNheu378UPH3kDQ6OF4I3HODjTbYLwxo5+/P3dL2HetIl46IuLG90cX3z0llUAgOmTctLnYzFxnEDjGZb6XLthX4YlWfdPZVjUVWuj7lkcEGeyP+UDaUhqfmNYc22PXS+GZcl3SxqZgZE8rl5yeF2O2Sgww5Ig9Jdr2fQNjgZsmRy8tWdQer8/rRbjgqthaUziuGKSGRbVJaQ0bwzbK66GJVmXvKZoRJSQySXUaFfczv5h3PzwBmzfOxTL/p7f3BPLfpIMNlgSBDE4J23S8EMmJU8ZYzmsuXFRQqX/9bp2qobFlhiWZPU99ZqoE16jcufEgf2tlpCaZBKoV+I4fWr+WrM7Qbv///5rNb69/FV8/r9Wx3K8MfwohAYbLAmCGJuTHmlDH/S0YrCM5cRxjXriHS1Dna6dapQkOUooKDV/agwP0vtb4jjdBF7rU7dt22EUmxUNS82PHfD96jf3AACei4kZGcOPQmiwwZIgCENgNOEjGNVA0Do0ADMslUDofhLBsOSTxbCoxru6Km6UUDoOiFPZXzQsOjal1gwL7T+ePCw1ft7qfVvHMtsYFmywJAhOTZmE0fIqBkdcNXomJXehpLNDfmiY6LbOrgE/N0u9su2GhUfzoG4whsfo/S1KSDc01PrUKWPoTRxX22PvL4ZoPRHJYFm2bBlOPPFEtLa2YsaMGTj//POxbt06aZuhoSEsXboUU6dOxaRJk3DRRRdh27Ztvvu1bRtf+9rXMGvWLLS0tGDJkiV4/fXXo5/NGActN59k18oQSe0+rhLHNei4bvHDxlw7OdNtsu5fUPHDse0Skv+Pd+gMs1rP6VRgPt6rNcf5KKjXJinXKpLBsnLlSixduhRPPvkk7r//foyOjuKss87CwMCAs83f/M3f4Le//S1+/etfY+XKldiyZQsuvPBC3/1+5zvfwfe+9z3ccssteOqppzBx4kScffbZGBqKRz09VmBLK91kdBAdKMOitjPJ7Q5Cw4of1jlKSIUU1pw4l5D8Xr1EY9sltP8wLNv7hvAfD2/wfF7pue8SETZ9/nME1Wullee70RqWuBHn8OUVR8e372oQKQ/L8uXLpfe33347ZsyYgdWrV+P0009Hb28vfvzjH+OOO+7AX/zFXwAAbrvtNrzrXe/Ck08+iZNPPtmzT9u2ceONN+KrX/0qzjvvPADAT3/6U8ycORP33HMPPvGJT1R6bmMOBYWazybUYzc06g4CHgFnUnr2GEK987CoSHLiOG8Y7PjJwyJu935gr+CzP3kGa9/p83xe6an/1Z3P4/H1u/CHtVtx71WnGbcT+rCmtFX3Mg/1ZyXiexjUlpfOpfEPW1UzYm9vqVbClClTAACrV6/G6OgolixZ4mwzf/58zJkzB6tWrdLuY+PGjeju7pZ+097ejoULFxp/Mzw8jL6+PulvPKDaBF5begZxy8oN6N1X2zwugySjotrOMc2wNOi4jXAJUZ2U1O8Sdv+CXUKNH0Qrxf7EsKjGinDlVbrAeXz9LgDAi2/71+sRBngmlfJkkq65hiXkdmqkZRIQqB1rECo2WIrFIq6++mqceuqpOProowEA3d3dyGaz6OjokLadOXMmuru7tfsRn8+cOTP0b5YtW4b29nbnb/bs2ZWeRqJAH95KhLcfvWUVvvWHV/F/73kpzmZ5MEwMFrWdY3nwbVjxw2Ltw5rV1d5QnhoshGFJmksoINHYGLZX9svihwL1mqSFhqUpbWnci8mIEorrWtTSJZSULlqxwbJ06VKsXbsWd955Z5ztCYVrr70Wvb29zt9bb71V9zbUAvQBqsQ98E5PKevsqg27YmuTDpRhGVcalgZxLGJSruW1U3dNdUhJznTrLX4ofz+G7ZX9svihgJika200CJdQNuNlWGqeOC7kdmryzUoR57PgZViS0UkrMliuuuoq/O53v8NDDz2EAw880Pm8s7MTIyMj6Onpkbbftm0bOjs7tfsSn6uRRH6/yeVyaGtrk/7GA+Ki5ifk0sEbVQGqYVFrB41pDUuDGRagdtdPNYClQmnkq6QZnEGZblMBg32SGRhXw5Ksa14PCAFsrbvbqMOwpDB7ygTpu5pXaw55gCS6hMYFw2LbNq666ircfffdePDBBzFv3jzp+xNOOAFNTU1YsWKF89m6deuwefNmLFq0SLvPefPmobOzU/pNX18fnnrqKeNvxisKVbqEBCZma1vTUtawyO1M2oQXBY0aNuQ8KLW5fupETw0Wekg1qVyj4Sl+6Ekc54/kTQUuxKp1DD8yFUMYmrU21oRLKJO2cFRXO7538fHOd0m57rExLHG6hBLCqKiIZLAsXboUP/vZz3DHHXegtbUV3d3d6O7uxuBgyRXR3t6Oz33uc7jmmmvw0EMPYfXq1bj88suxaNEiKUJo/vz5uPvuuwGUQkmvvvpq3HDDDbj33nvx0ksv4ZJLLkFXVxfOP//8+M50DCCusOaJudoaLHSyG1Vo1jGdhyUJDEuNBnCvwWLQsCTMJeSN7JC/H8vZPcWjs79pWCzLFUtXOlyEZSXcKKHSVPfhY7vw7jkd5WMnRcMSTzRonC5tb1Xt2HZdFSLNbDfffDMAYPHixdLnt912Gy677DIAwL/+678ilUrhoosuwvDwMM4++2z8x3/8h7T9unXrnAgjAPjyl7+MgYEBXHnllejp6cFpp52G5cuXo7m5uYJTGrugnUR1tUTBhGytXUJUdCu3cywbLI0CtRFqxbCo92VwVK9hSRpD5k3NL38fNG9ZlpWc0VbB/lZLSCBlWeS+VXby6ZQVaqwRBng27RoFwsitvYYl3P4TybAkVMMSyWAJc4Obm5tx00034aabbgq9H8uycN111+G6666L0pxxh0JMK91au4SGfKKEkjbhRUHDRLeEpaqVwadm3Kf3kD6OiXMJaXJnyONHgIalBm2KC/tbLSGBlOUaDRUzLCFnZ+oSoscH6qFhCbddEjUsSWVYkpmZbD9FNS4h6uuvtUvIL0poTItuGwRKUtXKYFFdKyaGJXEuIY2Ghfa5oHkryR6j/a2WkIBFGJZKzz3sJC/C9Js0DEvtawmF3/ZHj76BV7bo84mFzepbS4YlKX2UDZYEgQ7OagheEAZG8s7riQ2MEhrTDEujih9SsXWNig/6RQnJCQuTZbCIy2E5E5x8LglcnIaGOIuE1ZusOSjDUuk8GPZZFeMRNViqNZbCIqwb5Z2eQdzw+z/jA997VPv9Nb96Ad9e/iouufVp3/3EyRB7ooRi23N1YIMlQagm023/sGuw0IezWvQNjeIHKzfg7T37nM/8ooTiGgQGRwr4wcoNeGNHfyz7CwPTIPjspt34ryff9KXuH163HXc//3ZFx5XDmivaRSD8o4RodFpShqYSBDPUVBYmFlWGJdFOH3/srwxLynLvWhwMi99zOUoSx9HjV3PssPDbfRQ34MrXdgAAXu3e679hjI+CtyRGfPuuBrX1HTAioZqJo3/INVji7Fz3rtmCZX94FZt378M/XnAMADVKSD5YXCv0P73SjWV/eBUvvtOLmz757lj2qUMxxOT3kVtKJSIOnzEJCw+eqt3mstueAQAcP3sy5k6bGKkNag2pWkBlWIaJVoUOniMJY1hEuzNpCyOFUt+muqlAlxAsJGd9KMPVsDS2HfVGSXRbHcNCharD+aKnErPAiNYlhKqOHRZ+u4/i+s1lUtLzKh2jRifh2WtC+igzLAkCnTzVcOEg7CUMS5wrB8HcUAbHT3QblwZj98AIAKBn30gs+zMh6FrR8xNt8sP2vcOR29AIhoX2tUS7hMrtzpDMqDLDEoAEEzDi3IbyBfzwkTfw2raAFfQ4gWVVbzTQGlL7SNZmFXqXUNlYinEWfuqNXbjjqc3yhz67j7IwaPGJ+qTPbi0z3e4bzePau17Ct5e/2tBIUDZYEgTaDwoRGZa9EsMSX4cSnZN2Urlas8qwxHNscQx6rFqAshu61fqOftcAaZ/QFLy/Ch7mQh00LOpuaTNpd0maS4imVgdKbZW0XmOYnhBNf3PXPvzjfX/GWf/6SGMbVEPQZ8tC9UYDNVqpi1qFX1hznI/al//nRfz93S9JLmy/c4sSjdecMRss9FmINSeR0vRd/SP4xdOb8ePHNjZUN8YGS4JQrMI1QF1CcRrAYiVO20br0KjtjCoWNkEMQoM+q6c4ENTcrb2uMj/M3FiJsUivba386t4EbPpjJs0l5DIsroaFskBBzU0wwbJfaVcoI5JKWZKIuhLQCd9vjBDb6cKa47z+e8rsa+/gqPOZ3+6jGCx+DEshCtsYAep96dlXOq+OlqaGJmtkgyVBkMNLo4pu3QclzgdRdFyJYcmbE8fFFSUkKkLTY9UCMsPifRC39rgGSxh3SSWnLzMsNTJYfBKwjYWwZrdYXn0yA9cDY7jpkUFX5SmLGiyVXQQ64Q/5MCw6l5BoSpzXX1Q/p+3y232UhUEuY56ma8UwqvdlT9k13xGCZa4l2GBJEKoJb91bI4ZFPBD0+aIrGnWCi2vCEwzLUI0ZlqAVytbeQed1GHdJJQOwXEOqPgMQfZ9kl5ATJZR2XQjUqAtywVEbNGkJ2sL0lTd3DeCWlRswQDRkYxESw0JS89s28Mym3fj5U2+G3pdt29KE7+sS0ohu444Ssm3bMVRou2zpGZOPFRvDQp7XGnqEHC1he0tjDRaOEkoQClVMHLXSsIh90X1SxbrKCMQ14Q05DEttV/xSlJDmgacuIZMRSa9NJYNgXVxCKsNiOH7SGBZxfzJpvYYlKFEhjfwq2kA6QT4i3b0eLRSlyfVD//4Y+obyeHPXPiy78Jh6Ni9WUIPFImHNtm3j7/7nRWzYMYCF86bi0BmTAvelRsz4uYR0Yc1ODpiwjY/QHvr80P3btjy+RGFYqIZF7R8SQxx6j8FQn6s9ZZdQe0s2xqNEBzMsCUI1mW77axQl5IhuTRqWGqXmHyyLbWuuYQm4Vt2SwaLf1iRgDYt8HVxCfgyLVK05oQyLEyVUVDQsES540txHuuZQDQQA9JUXIivXba9Hk2oGmjdFYljgLrb6Q7JI6mTvFyUk+ofK8ADx9QfqkjIxJ2o/jSS6bXKnaZVpo4uoWgbvsEuI4YGchyUZolvXJaTXsKham7iiXIaIhqWWVH5Bom29328J4RKqmmGJwBhUCvW2jBUNi2i3WFWqGpYoLqGkGSy6pgtxo4qBGhvutYalaFgEHVAs2tpIRD+ok72fhkV0Z9lgijc1P2VY5PxG7jZq36u0Zhdl0gH5uY5Tz6K2l4puGwk2WBIEOldUk+m20oH5/le24fcvbpU+E7sq2jb+a9UmrH5zt6+GJW6XkG17KeA4QR943XWjDItpMi/a+tdB2NIziJsf3uDQrUBlDMvad3rx48c2+g74niihIjXU3Nfrt/fjut++gpsf3pCIQohe0a2sYYnS16Pa0r9/cSvuf2Wb53ORhXlDlVmYdYZ476A+18++kbGtYVENBmo06BZFflD7pZ+GRfQPenw3B0xtGRbbZzEU5BJa/eYe/HTVJk/tLNVgoQvEOBd26q1ICsPCGpYEgQ6+UfN5UIOlkn47Wijiip8+CwA45ZD3Y/LErNSOx9fvwuPrd3l+p06wca3Q6SAwPGrOZFktghiWHSQRnMmYoPkWoty3j//nKry1e1D6rBKG5X/9+2MAgEm5ND5+4hztNmq7/IysWx/fCACYP6sVZxwxI3J74oRXdCsbxYEMC3kdxbjZPTCCpXc8BwB47YZznTwwAPDd+9fhh49uxLeXv4o3ln0w9D5V6NpjYljiym/UKMgaFlIxGdUzLH5uY7FP2SVUXZZdFXRBNWLQsERlWC66+QkAQFd7i9TfVbeZxLDEyM6qxo+jYZnAGhZGGbSTRM10W22oZ8FgxQdmgi23UwxAcT00dNXkt4KqFkWf61Ys2qH0JfRnUVY5qrHid4ww+PNWc6ZUT20QBPeX/qHGr+od0W1KiG5tj9/e75rTUPUoz8XeIddwUPv0o6/vdI5dDaK4hMY6VINFyG6piDrs/VHZCb/xwWXo3M+qDalWIZUqMbqE5N+EZS9f394v9XeavgKQGZY4vbnePCzJiBJigyVBoB0uqmtFNliiH9vkbw1a8auZSOPOdFt6XTuDxc/QU90oJl2R38AUuT1VDKJpnxSUfgyL6ZCNTMEt4OTRyLiJ4/zOxQ9RTodGF6kZS+NyUeoMrZ7B8WmwUIOBRsxQg6UWGhbHJaRhWOLq3nSsMrl61HMLGyVUSpRodgnVLsJQYVjKifFYw8JwUI3otlBlxzVNlEETqHiYROrruES3lOatJcMiXzflu5Ah22HYitDtqcLg80uZrRqefjkiBGoVsRQFot1NJHGceh/CTnSVCprVn8VlQGujhGpcO6tRoAxLsWi76fFt23lmTGPNb9a8gwdfdbVEqsHoGyUkXEJKlBIQn+ZjOG/QsMD8jIVlWApF28h+A6hYzxUEtc+LaLVGa1jYYEkQ5NT80TpfmAko7LFl36v/75xaHeVcAXGJbukgUEuGxe+6qROhyU0n60GqO/9qjISUT+YodbemsGZpmwQYLGISM4luxWcmVKphoZdS7Qdx9Udde9Sw5pYaabfqDdo3C7ZNNCzEJaTpb929Q/jrO9fgs7c/63w2rGS/DiW6VfLA0O+qhcSwhHQJhdX6FZQwflXDEiViLgpMl6aD87AwBKoxWKqt+GuKGgl2CZUOJtJHx5aHpV4MixQlJH+nnouJ/fCLBoiKagbRlJ9LSNWwhDCyksCwiH7dJCWOC18hPIrxbdyHcn3iKsip1bAoBssEnyynAq929+FHj76RuJB0CtUAdNwyRdu5Drr+tocwTmIs8riEIjIs1VaKViFFCRkE4ZWGNasGuqorq1WZCtO+whSArSU4SihBoM9r1MGHzqWV6CAkTYP0eYBLqPxDoWGJ6srSwbZtKcPtcA0rNvs98KqxNmqY8ZLCsKT9GJYIUUICSaiE7BQ/FFFCik8f8G+nXIKgsvNRDaK4DGhdNV9VdDshl8augfL2tq2td3XOjY8CKDEHnzttXixtqyXyRdsxGiSXRtDiqGgjm7IihTXXOw8LbZufviSsDqpQtKUxlYrBxfe619VCN45ZFtCaa6zJwAxLgiDVEoroWjExJGFhSnceZH+I3wkNi2lSj4LRguy3rWmUkI9rxFt2wHAxqLFY5flX44bxZVgq0LAUErBiF+12qzVrBMR+DEsIwwwAdvUP4+aHN2B735Dnu9oVmPN+pjIsE7PuBBE0ya19pzeWdtUCRWViFYZXPiBrMbXPhD5OFaz6Cf31olv5u2ohMyzuaz/WO6zotqDmYVHDmkO4diuB7tK0tzT5jjH1ABssCUJsLqEKOq6UAyaCgNcxWGJkWNQKzfWKElInbvXcw+RhqXYMrE7DYv7OkzguxD1udOoP23bdBSIPi07D4mckmvq1iqvueB7fXv4qLr/9Gc/vakU06QzFPlXDQlxCquBShZ+GqdGQxpSi7WiLRhVDRgWN1hL3XWVY/IT+WpcQXLYuDpgSx/kxr6N5PyNbvlZ08do3qIhuC/K2cUF3aVqbG++QYYMlQaD9LWji/+Uzm7Fqg5vIrdrwNjlCKfq+shl3BVztg6P6pOsXJeRvoOQLNnb2D+OWlRukhHJxuoSiXjs6uPmKbiO4hEQkgKoVEVj52g7c9dzbkdpZCWi7BKVv295nw88Qkdybmmu7rnsvfvToG1j1RulZenlLn+fYtQrv1u1WnYzpqQXV2kkneDSXUjYUXdEtvZcmN4Szj4LBYPGxrB3RNi0NUL5OcRmiJpeQr4alEKy7Kb2WDbKd/cPytiEN8qjQuSubUo3vYI03mRgOaEf1W2mveasHX/mflwAAm771Qc9vKxlfTQ+XabDOZlLSw5klo6XwNVcKVdQYl8hRB7mOj/k7oDRw/PzJzfjXB17DvpECrnn/4QDUWkLVtScqw0K398vDou7WT3Q7v7MVT76x2+gOvPTWpwEAx83uwMHTg6vrVgra99xaQpooIZ/uESSIPvvGRwKPXTuDxbtf1VVA2x+UyC+dgAnFBLXelusSkidnFVKdK6NLyNwBxDMsp+aPWcNCE8cZRLfqrfYT3aqhynSfHoMlggYoCnS7arQ7CGCGJVGQMt36PIRv7d7n+axacSH9Sd7nQRNQMx7S1OXV5mJRGZVauoT82BFv2QHbEb2Zik1Wu8oxsRom0H7i5xHwcwmJl7OntOAHnzkBc6dODNWWnf21zRlC25ghDIs3cZyfSyjcdiqqLWgZ7hjez9SJjLZ/77B/UrlMAiYUEwrKIkg0dVTK1OrtbzrDUVwjEfLtZ+T75WGJ676aih9WGiWUV86Z7mfH3mGpb1a7UDVBd22S0L3YYEkQ1IfaBN3EVK1bwrSiNLXDz2CpNtutaqDUT8OifqdSz0XnHsl5a+Jb5URdzdNrHSVKSCe6Pe3QaTj7qE5nNaqbCGj7au2CkBgWkulWNeZ9w5orpMzDRFHlMpVfANOiQj032s+CNCx+DFujoU6sYRkWiXUubyuMgok5kfvJh2HRim5rqGExiIijZLql6RMKSn8fzhcl4W0987AkQSPFBkuCQPtb1Em/2jwspofLGI+vGixk9qr2wVEZFr/iZtXCT/ujjimFou1M/HKVVHebanOXRP09Hcz8BpQwxQ/FJCJW6jrjK+zx4gC9FjTTbaUMS5QJKoxbtJqCnKbbrK686bGDXEJJmFBMUPuSI7oNiBLSucmFwTKhHEHlN1bqih+KV3HN73LiOHesKipGGsWIj+hWYp0KXhco1c/VKg+L7lnRhdTXG2ywJAi0k/i5VXQDU7Ud10wzhjNY0ilLK6SrBB6GJV8fhsVTO0i5B6NFN2qFnqKkBwk5Cpomz6j3LmjAN32nKycg7l/Kh2Ghx6v1ip5ey7RU/FA1LPXn7Y36inBsgyFL99ncVPnw6ZesT05R4H43pkW3yvmKMSwoD4vMIJQ1LI7BIlxCPmxF+ecpjYZFJyytBKbU/AVDvwECGBZyzsP5gvO+rRyls9NgsMTKsGg+SwKBl+Auvv9BR3/qoOs31YZh0uenEpdQOmUhE1MuFtVgGRypYeI4n+umjoOSS4hOKuTxDsuQmAasyKJbg8hPRZgooZTCsOgMIHq8Wq/o6fEzNKy5oJ6LyWBBqO10oPee/o5qFEwMy9beQdyycoNT4TZM2yhGDJEzOoOFLg5qIYocGi3gPx/ZgPXb+/GrZ9/CY+VK1VGhdk3RdYLGGh3DMuK4hEoTuN9Y6Ypu3c9qWfzQJLpVj+WnD6OLggHCLs9qbwEA7CDCW/qM7B4Ywc0Pb0B3rzeXUFTojMckMHgcJZQg0D4SVrgqsl9Wy7CYKHDTQ60aLJZVou1HEAfDokQJ1ZBhKfpcNw/DUnBXv6aiiWGvvUl0F1UDI/nM/cSHKsOiWf2JAUlMfLpSBPVM/y6uRcqiugPvYG9qkjdzcYRjG54H6p5szugNlh8/uhE/emwjUhZw5emHhGobxWih6BhDQRoWev/9NEyV4j8eWo/vPbge/3Tfq85nIjIxCtR+Le7nqME4E9At4kRIsGOw+BnqSt8uvTYfrxIMGRgW37ElhBsLAPaNuPd8Vkcz1m3ba3QJ7RoYwbeXv4pfPfsWHvri4mgnoYAZFkYgTLlQVNBxSfTXavOwmFY6pn21KQZLyrJ8xZpR4IkSqqmGhb72X7kXikVtoTY75H2jMBks1WhY/BOoKe81DILoV34Mi2n1XwvQwofuJKOp8WQ4b885V6hhoddqH+mbJvtAZKtVk3xR+DWFrtLpdjpjkfajWrjo1rwdT/ZctS+Ja0fPSSvyltzkCsOSDRbdir4hhzWX/sfVfWnpkBHD+XjHEhMrKIcxDwx7GRYa2qzbz8adA2GbboQ+J07jLRY2WBIEOgmGdas4E6iG4o90bM3AoH5O0eExWNxcGdVWbG6UhsXrAlIZF9sZQE2upLBhyaY061EZFpox01d86iNUVV1CYqWuGwxNlHctQAWT7iQTvlqzqlGIZrDofzdIVrym3YlJ2Dc/iE9bTDqIIIOlFpigcXtVktxQPV1Lo2HR9Sf5e1nDIrIA+42VdYkSMjEsBqMXMC9MVFH5AHEDzmpvBiCLbmtVoFQfJVSTQ0UCGywJguQS8qXeSal24aIwrPgrOXYlGpaUZTk6g2rdBoJhEceIO0rorufexsrXdgAwCyoB77mPFookSshgsFTpEsoXbSxfuxXL124NtR85j0U4mhnQF7gUA5IQuOoGw6DMpHFCnFqJYTFrWMyrVWV/EZprCofeR/qi6fxF//cTVga5hHTb6Z4rU96PuNCiqRYdtnCfgK5drkCfTure7aRFXHlb4TJua24q7yOYYdGJbos2sH57P/7zkQ1VpU4YMjAsfky1mRWUw5hFf7MsYGZbDoBrsDz6+g78+tm3Km63H5Ia1swalgQhbB4W3W/8QuhC7ccQLaMjDNpbmjwDWSplOQXqqrX6BcXaMaEJvYOjsWa6fWNHP6751QsASr54X2Gcxu8sxleTf7pa0W3v4Cg+/7PnAAAvf/Nsx09vwqhhNa7Cz90lXjphzULgqjkXeUD2bVrVKJDVMZ1kPBqWGohuTRlEwxgswhj1M9z9WjIs6SDofoPuR/wGi05YPDRa0BoyJuiaJaa+oOKHOgZGMBqTQohuxVem4odLvrsSQEnY/9dLDvM/EQN0UUK0DpY4FoVJo1i05URxA2VGrymVwtSJJYNl10BJzP2ZHz9tbJOpsndY6BPHNd5gYYYlQQib6VZXXyNKwcKgY9MJQd3XlIlZ3PLpEzz0YMpyJ7qo2VpViIdZ5FkIW9k0DKiCvjSomK+bp5ZQ0d1eYrTINmHpchPDQqv1hln1SS6akEI+QB+KLfqVLuRUd7yaa1jI6lj0NxteF4DpmntFt5W6hNzXlO0znf5I+Rr5TaS2T5emz37QmED7US3cAxM0hklUF63f5DdqMAx1n4nzE8/FpHKY76hmvHl921788JE3HP0b1bBQAbfA2i2Va3UkDUv5fnj1U/J7P1aQ3sd9ZQ1LJm05RuJwiAVcUAh8EHStS4C9wgxLkkCfO7/Bh/YbMbnHWUtICnFWBpsPHNOJRYdMxZ9e7pY+T1mWI9asNtOtOHcxWA7HqGFRRXx+101XS0h8ZnIlhZ00TLQ6rdY7FIJ6l1xCPgaEb2r+8n81rFk3gUguoRprWBz9geISUg0zP3pdfh/+2Ka8RJRhMe1OJA+r1CVUqYalJi4hLcNSvUvIclxCAYnjJEF7UTq+X1jz+/9VrhGV0ohu6T1oDWAy/SAxLAXveAx43c1mDYstXROxv0zKcjIr09wsJuzYO4zW5ibfbfzADAsjEPLD6Ufve39TbS0hWcNS1H4OuNSqGpGQsqzYRLdiQhIGS5zCQno+I/ki/LQ/umrNOs2QtBqvkmHpJQZLGO3OqCGMUoU3NT/5TtGw+CWOM6UerwVEP6JRQjrR7X8+8gbWde/1/F5tXRyiWxpmataw2NJ//f7N38kaFu9+KeSolPh9dLp2RtV76PqJLjV/UCkID8OSc2sJBY151CVkaRgWNeoxCqgBJ2r/qAZF0HsBVXQrkEmnkMuIBVwxcEykwtxKoLueSaitmYAmMATCZrrV5Yjw85eGgbxP8rny8IjJTE1SZRGXkI6ijQIxMInVXawGCzmfkXzRt2qxeu6jhaLrEpK+is6wmFbfPfuqcAn5aljU99RQK/0PkziunlFCUoSHYFiK3mdjxavbtVWXVbdLxWHNNEpoNIKGxaff+l062t+DXELDo7VlWHT9OarBok9CVvof5BLSBQAIdnJSzjUygp67lJQ4rvR/gBifrc2VMyzq9RglCSYF1OaZFnVF29ZGPWVSFnJNgmEJYbD0V2uweD9jhoUhgfbTsImFglb8YaFLga1+DhCGRem8actyokv8tBRR2iIo3zgNlhGFbjUlgAPcQVDUSaIuJBMLFXbSCMOwhJkY8tK9Mm/nq2EpvxErT7/EcXFECRWLNm57fCNeeKvHdzuaQ4MKJcMahWr7ojTXlDhOEt0arneYsGa/tPAjRoZF4xIquO2pltnUQXfMqC4hvejWq3fTXS56r0cdl5AsugWCz10X1ryLVBuvtJBlvlD09MdhhbkFgiMQne2Keg1gUzrluoRGCxgu+I8NO6tkWLT3bCwaLI888gg+9KEPoaurC5Zl4Z577pG+t8qKfvXvn//5n437/MY3vuHZfv78+ZFPZqyjoHk4dVAHU78cG2ERNg+LcAV5XEIpyylQVy017TAswiUUo+hWqqyqDCymSBoxUNAoIVOV57AGi0mXIxsswedtyqypgupB6Hv6WtxSf4al+iihNW/34Ju/fQVfu/dl3+3E8VMpIpSEnJvCD2rrozAQJoZl3zDNw+LPsPj1W79H1JTLoxEaFp0hEFV0qw1rLs88QSJu2qedKKHyM0xZkSBWV0ocV/6/a8Cd1CvV3em0aCP5omZMlrcxtbcU1qxzCVnRXEJVMyxmVqyRiGywDAwM4Nhjj8VNN92k/X7r1q3S36233grLsnDRRRf57veoo46SfvfYY49FbdqYR5gKsbrtvGnX4zu2yWBR6UHJJVQ1w1KOEiq7hGhK/GpBDZbhfBE614iAGKxzTW6RNfEgm2rNVMuwUKgZf3UYDdAAqO3KaA2W0v8wieNGAiaYMBDC4r3EOFMxnC/gpgfXO+2hGpbXNHoVHYIyF/v+lgrPyWtqUJr2NhKCYfHXsOj704jmuaITZpQoocGRAm5ZuSEwK6pu8REmSoVCmzUVQsPib3DRc3I1LMIlFJ5hoS5s8ZoyLJUusuh4Ip4tlbkFvNfATyiu+y5NRLf5oh3IvlarYdE1LwkuociOu3PPPRfnnnuu8fvOzk7p/W9+8xucccYZOPjgg/0bksl4fru/QVpN+U4+9LW3g1fEsCj7dPclb+caLPLnkug2JoaFhlSOFIpoToXP/WDCkBKCGCa5k8SwCJeQwdCpNnGc3NYwBks4F41oVyZlYRhym91aQqX3fiUWwop8/eDWhDFfg4fX7cCKV7cDKAkiBR29e2AEW8qh6YfNmITXt/cb9xGXS4i+pmHnwXlY/BYd5mNTNw89hE4TUynD8p0/vorbHt+E7614Ha9cd45xO905RI3a840SogyKjmFRFgO2bTsMz4RsGpYlQoEDGBZJdFv6LxksVTIs2XQK2UwK/cN5jOSLDtvstF0V9Bs1LHpDtymVcjQsgL6uFMXuAXPhzXAYJwxLFGzbtg2///3v8bnPfS5w29dffx1dXV04+OCD8alPfQqbN282bjs8PIy+vj7pLwl4euNu3PGUud1BkMKaC0U8t3kPfrpqk4eeU3MTVLOSFJCS1tHBWhXdGqOEyEQXk4alJeva03G5hShrMVIIMFiES6g8UIyS7eU8LOFYDoow5xOOYQk3YYn7KCpqy5FNpf9hEsflQ4ZRU6jZRMU+/BgIGt697MJjHBr/5S2lZ332lBZ0TAiI7FCaV3GUEHlDRdGmyx1Kw+LHsBjKLeg1LJVFCa1cV8r0vC8gEk2XRTZylJBWdOvNiq3XTJFnq1DESMEVyuea0mhKuYuJ3724Bfe/sk3bBl0eFlXPVgnEtcg1lQwWoHRO6jgQWsNiYFgyacvR0gHBBouOjYuCpGpYapqH5Sc/+QlaW1tx4YUX+m63cOFC3H777TjiiCOwdetWfPOb38R73/terF27Fq2trZ7tly1bhm9+85u1anbF+NgPVgEADp4+EScfPDXy71Wa/sL/eAIA0NnWjLOOctknNSOuh2Gp4NmTfMU+kScOw6IJa44r060bJeQ+oMOjRaC5qt0CUFxCowWta0Rth6jKWyDGocmVVG1YM8VwDaKEmtLeOipq8UM3cZxugtS7K/wgson2Do7iS2fPd/bhx0CIfS951wwc1dWOV7eW3EBiRfuuzjbJPaOD2rwgIaTpO3pdJZdQkIbF5x7rfirYguEIqfkrZVjCGMOAnumNKro1nSsgGyRBDEu+aEsusOamFDJpCyMFYFvfEK6643kAwPp/9HoAdNWaKSpdZIlr0dyUdlickXwRhSb/MdmvlpCuLZl0Cpl0CumUhULRRt+Qf9/3L+0SDH0elqp2GQtqyrDceuut+NSnPoXmZv+Z5txzz8VHP/pRLFiwAGeffTbuu+8+9PT04Fe/+pV2+2uvvRa9vb3O31tv1aaeQqXYvGtfRb8zrQBVP7MaJaT2/arzsBjocICIbi2vwSImw2ofFvH7TDrlrCpqxbDQ8zYxWQ7DQoxDOqjQn1WbOM7UVhMkl1AIDYtedFv6700cpzmeQRAaBs9s2gPAvb9+Yb9iohRGsJoD4siutsDqxEGJ4/xulSl6rHcwDMMiDLJoGhYRxi+73bz7pahYwxLWYNHcozjysITNdKum5hfHtqySG0b01Z2SHsW7H1l06+03lbqxhXssl0mhKWOVPytq+p7KsJhFt7r2i/MU7ukghqValjupYc01Y1geffRRrFu3Dr/85S8j/7ajowOHH3441q9fr/0+l8shl8tV28SawS9k0Q+m8UbtJ0Vl9RekSA8DUx0j9bkyu4Qsx91QvehWTFYWspkURgrBqviwUNNo++l1xMDhaliKbi0hg1EXJ8MSZiUbJFp02uVoWErnQrcU/dWbOM57/LBh1Dqoxp6fEVpwjFa9yPvwma1Y/eYe3+OpVyMsLQ/4uYTciVG3MLBtm4huw+1foLkpjX0jBSWs2d1Qd70qZViCXEEC+jws0W682q45UyaEriUkR07azvPbnEnDIro5ahzqDEXiTdGmmK90zKIMi+gP6rgCmMcWFSXRrbf91GDZN1LA3gCGpdpcWPtdptsf//jHOOGEE3DsscdG/m1/fz82bNiAWbNm1aBltUeFwRPGFavaUVSGJUiRHgamVOTqvjIp/QSSskg4bEwuIaqMj8tgodlj1fBDU+I4EU5YomtL7TDVEqo3wxLWReMYgUKfIjFLpf/exHHe/UhhqBHvs7g2oyE0LGJb0RbVfz4hmw4cQIMMedNzIsSd9L3YXxDDQq9PLAxLBJdQlFV12OdJm4elwlpCuUwK1593FH71/y3SZrrV9V81P5RgWJrLrKfoz/R8dMaH7BLy9ptKK8wLhqW5KYVsxk3DEMywyIsEAdvWt18YZmIsCsOw/OqZt/DE+p0hz8TFxp0D+MHKNzyfJ8BeiW6w9Pf3Y82aNVizZg0AYOPGjVizZo0kku3r68Ovf/1r/OVf/qV2H2eeeSa+//3vO++/+MUvYuXKldi0aROeeOIJXHDBBUin07j44oujNm9MwzQBqIO15L4pxpOHRZeMTn0NuKtvXR4Wp5ZQldY9nVyzMRssQ0rdDzXaR1cXqJloacTAZnKbxRnWHDVKKEy1ZnGP9BoWJXGcTsNShUtI9FMxSRVt8/USg7Zg7dSxsqnsz48C9fqYjp0vFrUM2t7hvMy8aM5/JGClL6C7dML1aEwcp4sSqnG1Zm0elgpFt63NTfjMornobG92Jj86Vuiup5qaXzAaYuIWjCE17vUMS201LLlMWkrspjbBVFg1qySsM4U1C8NM9JEgg+XNXQP48v+8iL/99Qshz8TF2Tc+gle2egNZksCwRHYJPfvsszjjjDOc99dccw0A4NJLL8Xtt98OALjzzjth27bR4NiwYQN27nQtv7fffhsXX3wxdu3ahenTp+O0007Dk08+ienTp0dtXiJQ6bBhGm/SqksokGGJfmxdzQ7dvkRb1Ie+lIclnlpC4veZlKu8HwnI7BgWlGEZ1iR4sm13JSEmbDE4AqQaK2VYFAMyDMKcT6hMtyEnLPFdkxMl5L3HauI43X2sJEpIbYNK36c14eri2psYPVoQ0QRvWLNisBjany/Y2jw7vftkGl73c2pU+ItuvT9uzsiJEr2lIUrMz8+efBNv7BzA6YdNNxZKjAvifr/v8OmYmEvjvpe6K8h062UTxGs5CijAYCm4Ic1iESF0czSZoO66SwyLxmKJg2ERfWZwtOBxp5oE4Nl0SrqeRVu/4FM1LEGi276yQdMXIEzXwdRvkyC6jWywLF68OFDUeeWVV+LKK680fr9p0ybp/Z133hm1GYlGpeOGacJRGZbAKKGKXEL6dhgTxym9Nx2j6FbSsKTd+hlxYEiZUHTutJSTNrz0GU3bLdoh/65WDEvwNmETuYlzcUOW3e/cCUVmz3T7q8Yl5GhYyO9GCkU0ayoCuwyLPu9PU9qSdAk6BLmATO0vZTSm97T0v2dQzm0RzLD4MV7ez8Qk7BjFyv5HCkWs27YX//CbUobgXz3zFj583AFuu2vAsIhz+NTCOdi4cwD3vdQdKnqNQvQ1XWhxUKkHtbq66xJKS/ukmhydK1WX6ZaiYoOFMCxiv4MjBY/2j86ZNHS55EaSC2rqwrsFkxTWJSTgl88rKpLAsHAtoRqgctGt/nfqYO2JElLpxwo6qUl0a3QJaaKE/BKORYFYnaRTNXAJqRoWz6TmvnYYliaNwSIZCuQ3IY3FUJluw1RrDsmwiAEz7Yhubc93TuI4y3wfq0kFL64NnaRM18E1WssuIQ/DEuwS8kZ9yd+b+inNaAwQhqW8Wp1YTmiou9WSpiRkAVOBZiezszBYvL/budc1mgZGChKzYIo8qQbiHJrSKad9kVPzKwYxYEgcF0rDIp7JtNMuQC5kqBMUSwaLZuKtdMyijI8oJbJvpOCrK6TnlFXoc9s2FD8ULiEnSigcc1Lt4pEiCXlY2GCpASplWEy/82hYFPdNNRk9nX0qkUe6zwFS/FBTrbmJFAmsBjoNS3wMi79LSHcdmtIpZzIXq0tTpts4E8eFmRjksGbzdjTTLaBGwZT+h0kcJ2tmApsnt8FxCbk/NK1sRz0uIfn7TCiXkPo+JMNSlFMFiN+JpHGTJ2a1+wO8DIuJjdZ97IpubeP++4fliYpm3g3riqWZals07BZFnjBdggGKmppfDakH3L4mZ7o1/xYoXU+HYcnIott9w+457Rvxsg+1Et267Uk7mbkHRwse44vunp6zV8OiNzwd0W35HvQNhmNY/HRiURHEaNYDCWgCQ8C0OvdECakuoRiihEyJ49RB3T9xXFl0W20eFmeAc/Ow3PvCFixf213VfgFvlJBfFWOnHSRkW0xI9BSjhDU/8toO/PrZt2JjWCQNgI/FotYS0jEIop+lDAzLHU9txhMbdrm/K9p4p2cQNz+8Ab2DoygUbdz62EasfacX97201XO/RPtoO2lWV915OaJb5RnIpC2P0Xz382/joXXbnfcehiWshkVZBIhrJ4yDKWWDRathUfr+fzy8Aeu3e2sf+TEsoo/p9q+6AnpJmHXYiYnugwrKdRDnk0lVzrCohTcB1y0TlEdIZXtVl5Bg4CjTpHtuKhHdLl/bjT+8tNW7MYHjEmpKYUI5M/fgSMFrHJsYFo3oVteWtKNhKZ13f8gCoIB5PLZtG7c/vhHPb94Taj9JcAnVNNPt/opK7VmToeHJw+JxCakPR/RjSwODRpApYEocl05ZsYlu1TwsAPD7F7fi9y9uxavXn6PVPISFHCXkT92K65pOlypRj8BlB0yZbv0YFtu2ccmtTwMADuhoCdHWMBqWcIyHaG+TLjV/+bW4pWISoP1q/fZ+/P3dL0n7LNg2zr/pcezYO4xNOwdwwtzJuO53r0jbvHq9W6dGGMK0f5iYJtXA8jIsKU8f/JtfliIi3vinDyCVsjzPoUn4qCKvJBQUr4VxMHmCD8Oi3LN//uM6rHmrBz+85D3S57pHXTVYdAaVOlHRMOtKDJagn4j+3ESqBUcW3Zb3QW+Xq2EJ7xLKF23nmfCIboNcQhp3FIU6qQ+NFvD5n60GALzwtbPQbigDMeQkjkvLLiHPQoicBzlnj8FS1I8hTRW6hADzmHTvC1vwjd+WntdN3/pg4H7YJTReUaFPyPQzdbBWNROxMCx0nwbjBTAXP2xucrNOxpWav5SHRTZOqs14Ozgi6yf8XEKUYVFX81IeFmn1ZG4fnVze6Rn0fP9PFxyDpWccgmvefzgAWW9jQhyZblUNi8gqS+/jTk25+qJtO1Vhn31zt5M+n4Ler10DI7j54Q3YvNvNBG10CQUkjsukLG20B+Be56BcGKZbpVYHF68dl1B58tKLkr073WW4diqCRLeAzCQAcp8K+9zRyJEgNpQyXaJ9lWa6TVtelkNOROhtv1StuVB0XLIqwyKJbjXPDc2UrJt4VYE07bdqCYih0QJ++MgbeG3bXilxnKguPzia900cR89ZNbpLDEvp+/YW10hyRbfhwpop8oUiXny7B7c9vlHq10GJF1WMySghRjAqna5NKyR/l5C/WyMsdBM14J0EHbeB0nubm9LO5BJnlFBOWYFUy97QCAdtlBB19ZB2NKXVlRCZ8MnnfqvcLT1Dvm375MI5AIDVb+7Gd+8PR70HrVDd70r/3VpC7nfipaNhEQwL2ahfM0DSazBtUk47oFH34nC+iG8vf1X63jRhqmHY6hxTCmvW/hQ7+ocxeWLWK0ZXGRbDg0JrRtHtdpcZlo4yw6L79YjGxTUw7L2PYUS3Nml/LpPCcL6IfmVflTAsNCQ26HlyXUKUYak+Skj0taBaWCqbLLRsIgTc0bCM+GtYdBFKFKo71Y8F/NmTb+If7/sz/vG+P+PTJ5ee2Vwm5cuw6FxCKQuejk1T88+ZMgEvvdMrnadgZKIsCkcLNj78/ccBlIygC999IAC5kGcYJMElxAxLDVCp6NbEjHiobekhdgcE8UxWxrDojZSwtYSaaeXUGkQJCVSrj/FWa5a/1xluqZTlDBjqd0D4PCzdfV5WRQcxcYXRsJjSuKvwpOb30bCkNQzL3mHv4Eav3bRJuYryW5gZFpkRUgfLkhBaP4AK1keN1lONbxMb9oNHNjgTRWm70u+29ZUMTuHOs22vTkbHAOr0Bro75cewCMNdFd2aVu5+oILNUSUiSoW4P00SwxJRdOsTJSRtp3MJGcOahUvIq2HZpzGoohY/pIuuYWXh8Pq2fuc1ZVj8o4RK/5/dtBs/WbUJQFmfpdlOXIfZU1y3sZuHJbo7nPaLP5OEcD0Rc7QwwzJOUUnxQcBM6XsHWplhoZORLi10GMgqdiH68xZWDMOwVC26pYnjFGajmvBmtez7cL7o2b9uJZRJuZWone8MkVR+Yc1BDIuAI26MmunWx1hy+ogmNb947YQ1l8+VsiM6hmXXgOvqmDopqzUgglx4OkYCcPugm5pf/j6dsoyGsXBfqbfCmx5d36a7nntHei+e563l+9dF9Ee2LbdNl412QLPi140RLQrDQvuSyNehuw8ClTAsdnmCVA1yAfEsNqUtp1+qE3gQHIOYumU02VCCM926qflzjkvIy7DoXKlBDIvaT2losbpwmNHm1rFz2pNJuVFCIwWvq7n8/iO3rHI+y2gsgKJtO8b67MkTnM/FpVEZ5zAwFWqlgu0wYA0LQ4JpvPGkFFdWHQWfySj8sWXWBtAzReIhUzUdLU3pmtQSUhmWatgb1QAIKlLm6j5SngHd6BLyodi7e8MZLC1N4cWN4V1CrvEFmDQslrQN7Wd7NSzB23tcxsiCPuwxrMvB8zuP6FZlWCzjbx2GRTn0Dx95A69scVeYYftpoVi6RlvL9++Aya7BokvupkLVnZR+5z2OI7pVGJaURRkWs8FSiYYl6HejujwsFYpudRoWikDRbcFNzS/CmgXDsq9K0a0fw6Lub9ok12ARrFtzUxotTRmnLWGSeaY1wvBSUrnSsae3usfZNVAyLnIBUV06SDo3csDoDAsbLOMSlU6polN7leNmartIooSoxR6V5ZHdTOYoBbNLKBV/teZ0vC4hdaAd1mhYdEXv0invaqgihqU3mkuo5LIKP+GHqSXkJI6zvd+JW+pWayYGi2Zl/w4xWEYKdkX5LYwGiyO6NWtYggwWdZLY0juED3zvUed9WCayYJeKHgp3Yld7M9mHvK2uTaMF28NK6NhU976XvhPNS5Es0n5iSz9jmULdh28RSk0elkprCVFWNrRLSNGweBgWJzW/26YBjcFCj6dPHKcwLOSaqJlz6WJt486SgLy5yWVY9mnDmj2HNDAsLrtDvxd9ujKXEF1cua+ja1giHzp2sMFSA1SrYcl53BTqdu7rfNFN80yFoVGJCEnIW36pG0DEoKN4SCSGJawv3QQxWekYlmpcQjqGxS8kvEAmeVV0K+kXNKyMDirDorqjBGgyr6DJIWzxO7ePeBkWVwMlMyz02uhcETTSabRQ1E4EQS6hYNGtWcNiMoxNBovpGEGg7MqUiVk0Z937o+pkTAkOVeGt7sguw1LalmqLhOEWB8OiGk86FmxLOb+Oy3SlHKFrvmhHEtY7xnJA8rYgg2W0SMOazcUPBxUXXMqSjRTdxKuOK7RvqS4h2ibhfswpiePUe6FbQKbVQRSlZ65AIrMEXIOlOoZFcgkNUtdgcN8xReXVE2ywxASpVkSF+xB9XJ2kPVkTFRZAdQmV9hWRYZEmXXPiKjHoqANOc1PazXQbZx6WdJwMi8Yl5DEGZXcbUCr4qPPxi3baIWsJbVUMlknNegkZHZSCDJawYc3CKMloooTCJI7TTZT0s3yh6GHdSu3z7wsjhu9d0W1KapOAL8MiNCy+R/ZnpKTtija2ltmxzrZmqS3qLkxtUt1CuufT1bDY5W1Kn9Ms0n4GS6V1rHRt/tSPnpIiuqiGBQiXI8htV+m/zLBonifNNZFT9xc9olsdS+HHiACmKCHVJeS+V11CuuvsSc0fwiWUSVkanZWs3xIC71MOnQogDg2LrT2HMH0nAR4hFt3GBXq/KxbdCoZFk/1Qeq/QpM5klEoZfxN4bMVXDOgHEHEIXZRQOi6GxXEJpTw+23zRxvrt/Xjw1W24ZNHcSEnk1IFs1Ru7PNvoE8eltKuhfNFGJi2HQptWuaVVuuwSam3OYPeAV/iWKodzD+eLnjbbto2fPLEJx87uwPFzJssaFp977qbm94Ysu64HlLchhm/RRiplBeZ9GC3YhuiLAIbFMPG5NWyEESV/nwnhEgp6DkNrWAjD0tXRLLXFo2ExnI9qaOia5okSEq4Uy3JqzviJbnXP3W9f2IKWpjSWHDnT+UxlgXS1azbuHJDeizwsllVq+76RPCblwk0fumrNuslPZ3BLCwgpNb/sEqJQDQzVQNHNu+oia0TSsMjXXG+wpH0z3QodFEVJw+JlYqiG73++cAr+9Eo3LiqHIudCjHfplKWUNPBqWNRxR4xlfmANyzhCpUYKhVvBM4BhKcqTlFvzxrzyC4I0Udu25zMBh2HxRAmlSLXmGjIs+SKWfHcl/um+V3HTQ+sj7TdMPSJ6yjRxXJNB0Q+Ey8PSP5z3aGgm5TI49+hOAMDRB7RJ35kEjs+/1YNv/PYVfPWetQDUKCHTWdGwZo1LyKBhAdxrEJRZc6RQ1E5CQS48s4bFHbRp28RnlmUZ0/oLmj7IHgnvEnIjhGa1t0gDdxgNC+Cd9MIVP3SvgWBYhPjZpH+gk/6OvcP4P794Hn/502elz9V7Esa9kylf84nlSXmfJreMCbrU/FrRbQDDMjCSx2vbSskJ28pJ1VRXLeA1WLx1zzRMoBLeTa+JxyWkaSeNEiqJbuXvi7bt6W+ZtIFhcSKzUuhsb8Yli+ZiYtk4DMOwqH2DGl/CQBJGvW4bExLgEWKDJS5UGRgDwJ0s1YfQL0qoULC1A0JUhkWNPAL0Kx5T+GNzU9oZyMNS7TqoKwz1AaUP1pq3eiLtO4whZQxr9nEJmeqEBB17Ui6Db39kAa477yjcdtlJ0ndNjoBZHkh2lgcaMSlTI8wvyy4tMwDIRpZrsMgaFno+QbVL1HT2AsOVim6JdoK2jbbPNMjuGhhBvlAMNNrDVjUvuYRKBksnEdwC4RmWnzzxJh55bQf5nXcbbx6W0ufUJSS+6yCp4ukzQp89qlEYJX3Dw7CEeC7E8cWkrAvVNsFNlEZcQrqwZs2lo/do7Tt92NY3jAM6WvDew6YBMLiEVIPFU1neexwR3i1ADaWnN+3GrY9tdL43MSzCJVS0vWyuTcKVnXYZFkE0D5WKMKJbdf6g10M0fYeSfdnEdFIwwzKOYKotEwXiQVDdIH5RQgXbjRKqRnSrS0WuFd0aOm1TOuWmfa/CeqM/pbWEBOjErxus/BCGBZO1POWBVpPpFnAHWFvzGxU6I661uQltzU24ZNFcKYQRcMvOq4aOMByEa2BEMliCXUJNmigh8dJNHGd5fhdksIwW9ELM4UDRsMHA8xHdBhXZtO1SyGag6DaChmX73pLBMjNAw2I6n3tf2OLUkSr9zrudCIsd9oQ1W2hSngOatl0UYxRtFZDywygZhymCdGGW5fYJsdLXhQ6boKvWHDasWefm+pv3H+6KbjXPpWos6Aq16kCNFHpNHn19J6773Su494VSfh7d4iOXSTmp+QEvI1m0vQa2KQ+LKjhXjxMEdXFF75Xodm/ukl1+YQTbnIeFIcEJa1YZFuWZLSgTJA0DVvcV/tjua4dh0exCZ/Wr31WTK0WqsxGQ6VZnRPghzARlYlh05y32J4VCG46hM+JaDaJbwB2I1UFOaEkGysI+Ovn4XXaxm4wuSqj80k0cRwyWcmfz006Iduq0EOrk4fmdScNSkFeZ9PJnDOwTxWiIBIpRooTEKnVSLi21xZPpNqQYVdc0UWBvpFASl7oaFteAFRDlAQC3GCNgfvboCjpMlBBFE9FvOQxLhGrBuighfWixtx061uW42R1u2zSTuto2j+iWDBspyagrktfetryxozTJ657xUuJMN9Gl+ryUEsLJJ5NOpTz9wLa9gnMKdTG77MJj8J2PLJA+U5NcDkoGS2nfj76+U9qG9lvTEM8uoXEEiWGpME5I7EJXctz0Pl90XUK0o9rhxk0Har4D3XEBf1pQDAzVJI6jvy1lujUXP4xqsIhd+xld+jws3ky39Ht6trZtEg96j+UnWhQDsTrIUaZjj5Kp0jfTrcLC+SWOoxOLGJyDRbdFLcMSlGQsbC0hPcNiPt/RvB0YJhQlD8sgKbpXiYZFQFxr3bHbmjMOK7J3KC/1V7WvdxCGZfJE9zXNxSLpVki7PFFCASJ5uhCiuUbCwnVtUYNFt104hqWtxX1udM+lh2HxiG7d9zSFAO1Pur4s2CWd61UYEsItpDKSxaLXYAliWHRuaNUltODAdnzsPbOlz1Qjjuqn8kUbI/kinlgvGyy0bTrWCmCX0LiCRLFX6hISDIvSKf2ihIpF21PYTvebIOgmalN2RhPERFdJaQABusrSZrolg4pudeUHcd1afJT2OpdQacIwa1jU09WtwHSfmcKaARhDxKnhoCr9w0QJiftHN9WJbsXrfLGI4XwhUJSXL9jaFXKUsGzd57r+Jj7zYzNGi3pNDUVYcXihCBJOm5Ym27AaFndfZvayKZ1Ca3lS7BsaBdUWeQwWwqp0SAyLniUYkRgWxWAJaDM9toiEqcwl5H4WOg+L5jq1NZMqxprn0qNhUWY5euhsJuX2dcqwaNoyyTFYvG0ShoQw6LwMCzwicV2m26ItF5xUoY6HOheRxyVEnsHhfBHPbd6DgZECpk7MOlooadw1GCbMsIwjyAxLdfvwuoRs43spNX8VYc1y4jhbe1zAfwJJxcGwKBoV9YEMsxIwQVwTv1BoXdbadMrSHqtgWC3rzj+qS0gMTF6GxfWN7+qXDRb/PCyuewtQDBYlcRzdrlgMdgeJduoMgCCGxWQI+WlYxAS6+Ijpxv3mC3Yg0xn2GbFtNyV8S1NaYgrUfQQxLOJ8Texla3ky7iManJTlZROp6La9pcmZTNTaO7p2eaKEAp5XaqxPzLmRMGGhCwrQzX26/quyGdl0ShoTdAsJ9Xy8olv3fTqVclxe1EjRGXEug+z9rllhWPo8GhZbq2FRXYoSw6Jhjybl5LFLJ8Jt8nEJjeQLeHbTbgDAKYdOc66lpIUzPBesYRlHoM9IJQSDbdtugSvFT+mt/CmzIUXCBIg+FdVmoM+SiTkQx1AhBg1HdFu5veIMNpalr5JclYZFMCxZ8+90OVXSlqWnbzUuIfo7aVvHWHKP3erjEjJFwvgxLH4Tjzi+ziWkJo6jr/PFYqA7SLRTR98HaVhMocm0ACYg6w5EP/v7D7wL3/zwUfr9GqKWKMLmIKQp4YWx63QH5RiBYdx587OVstxw3b6hvGRIZjOKhoW4hNqam5zrJAtH9a9VDUuQkZVJeRkWNXOvH3RRQrqsqVpmUmlaW0tGiRgLHgP8RLc0ApAyLLq+LO6t2Iw+v1klimqX8mxS5sQ5tsbYolGSuu/nTZskGasq4wJ4x2jKhg3ni3inHKJ/8LSJzvULk4CSXULjCVVM0oA8yXtS8/swLAWiYbEst1NFzQsj5yDwYVg0nTar6AyqYVjUKr3qqp3S2ZFdQnYYl5DsbgNKocA6g8U17IIZFkeTkUphYnlQC+MS8jAsxHig1ZLVNnuOr6xy/RLHAQrDEkJgmS94wzaB4Cghc1izKrolk0zajVi59JS5ht/bgQxK6CghomFpcQwWvXEeWJ26/L0+VbuFtnKfkBkWnUuIGCwtGa1+THJxUIZFaWOQa4xOnBOz0RkWXZSQ33byZ3JbqTsICDcGePOwyN/pnjVdX3YNltL/RYdMJfss7XRCOdJLZT9tjehWZ2wVbe8YqJ7LKeS4uvIeKhu8T2JYik4Cy1ntzYTJlVl7HZLgEuJMtzGhGtHtwHAetz620XnvycPiFyVEKMR0ykLKAgqohGHxrrj9ih9SiE5fTbXm5zfvwYtv9+Iv5s+QjqOuWPvIhF2p6NbPJURPWWJYfFxCHg2Lj+jWsoDWXBMGRgpozTV5thMQ11RMJr37RnHH05vx2va9zjZiUExZ7v4Lto0UIdzveu5tvPROL/YMlChqt5YQbZsweL0r4LAMy6ihUGOlGhav6Nb9Th3I6fkL5AvFYNFtyH5alBgWapx7jaKwifJ0h7Ysy2FYSqLbssGS8vb1Ng/DojFYyGtq6A+X3VsTs2kMjBQCGRZJw5KLzrC4BrGXwaMYzhdxy8oN+PTJBxG9iHyhWlvkZ0YXSaNCXWTRt5m0RQTuemNPQBh64rk/sqsNFxx/gKQhEi4hj75MI7o15mFR2EUViw6eivte6gagZ1hUI47WVhrOF522zepoIck+y/3S55lIAsPCBktMoLc5qkvoht//Gb94erPz3pOHxUd0KyWOs6zypBO8ulShC2vWrQJ1VK6w8quJEvqH36zF2nf6MLmcU0I8rAdMbpG2o/kNouZhEe0KrWEhKx3dSk7ch1AaFsJwzGjLobtvCDPacp7tBFSX0HW/ewX/89zb0jZi4GlpSjsVagtFG+L0unuHcM2vXpB+095Sur5+olt6/ELRdsJED5zcgrf36CtOjxaK2okvMKzZKLpVV+VmN0A6ZaGorIhHCyEYlpD9dGjUdS+Jwoeu61UxWEImyjO1TTAIJdFt6TM9w+JOkq3NGSchoCmXiI5hmZjLlAyWonl8Ke3T/W1FDIvW5ajf9lt/eBXv7BnE9ecfXfqt0pY2hZU0JbKk8HMJ0QjAvMGFJjDsMCzueHvuMbOkbSYoUUKilEHRBkYU96e5lpA/I7X4iBkAXgZgEN36uIRKDEu5zER7s3PuqjGmQwLsFTZY4kI1kTHL126V3qs0X1BYMy0uljIMpEHQuUJ0Y6/WJZRRXEIVXAtR6nx3OQOjeFjfNasN37v4ePxg5Qa8vKVPWu1Xeo5NaQs//exJGC0UMWfKBDz75h58/8H1eKdnUJuHJW3Iw+IadvLnQQbLty5cgLXv9OKYA9qNbVVp6qc3eeseCZdQS9Y1WGj739qzDwAweUITPrlwDg6ZPgkHT59YbrPOJSSLEYHSvRTn2dnWjG986Cjc/fw7+P1Lcp8tJY7TMSxBE7j+HooVn66WkDpJCSNd+n2IKKGwBgvN6ipq2IhLpd77wOra5UnPdGQRsts3OCqFm6t5WCZLLiEDwyJNwBqGJZcB9g7jZ0++iemTco6LQzW6KGvkaFiqjBLym/yeKYtCAe9YUpFLyEd0m0lZaCrrg2h4ty7UW1wHp2yE5tgTFV3apGwGe4fzhjwsBg2L0vdVzJ4yAbde9h5YBubXzyW0Z9+IkwG5s73ZSUg46iMDEEgCw8IalphAn6uoDMOefbKiXM1q6RclVLTdKKG0Zbm+9SrysOQNzAEgix8FhMFSTaZbsXoRAyFdJXz42C4snFcaTCnDEialOAXVBJx++HSc+a6ZOGxmKy4+aQ5JqOZuL4c1h8vDApjEg67b5ciuNnzsxNm+qvsmxSU0bZKXjdlZdglRxojexy09JTbk8Jmt+NLZ83Hhuw/UGrTiFR0/xenmC67LMZWysOTImTj98GmetowaRLeBLiFj8cMyLe6Th8Vpqy4JWcHWMoR007CGtRjwaXi7qxWTtw0bFWXSmLUShsXtM5oooRaXYZlgKDxqjBJyGJZSv3l6425c/MMnyTl4q5o7xxIMS5TEcRrGwG/yowX+1C5Fc7AAlYpu3ddSlBA5T53xLcTKblSm9xzU3ErCgNFqWNLe4odF2w5kWADgL+bPxBlHzNB+53EJkfspGNLWXAatzU0ko7bMHumQBA0LGywxgQ5A1bAtQIhqzQrDQgcEVwwYB8Pi3YdugGhyXEKl95UwLGJQFCF46ipaPIR9g+5AGdUwdJgozWCpEytLYc0GfzP97/xOM9iJgdeU40CFKLYoBrmpE70Gi3AJiUkEkK9Jt1NhmLrVwmlYaFVnVQSou34lg0XDsFRa/FAJw05p2iagG0hNUUK6OklBEC6x5kzKuUam50xnoH3nogWkXebFAAAiuiWJ43Sp+QnD0pRJOddErtLrvhbuiDzRGolChhQvvt2DHxM9nbqfCZWk5te4hPxAxz/VCK6EYVH7h+r6zGjcaVoNi+IS0p3PRCXsWLy/+/l3cP8r26TvdJlui0Wvfisq1OdDd69ETawoLiGdHKDeYIMlJkgTQDVxvYhWrbnoiRIS7ancYPFjWEK5hCo4fzEY7HMYFvkauNVqXYYlagkAXZl7AV04eIHoKLSiW7Gx0gwd0+B3bB2cYnflgWR6a9azDdWweNoEaAv2iePrDGzaNnH5abSNWPHpVn5Gl1DAxKbTfNhSLorSsVShJIVuIM0X9QyLTlweBNEnW4hhaNKwCIPloKkTAACHzZiEj504GwdPK7niHA2LwY5zw5pll5C6iKEhtZ1tzdqyGLQfiutMr7fKBvTsG8GHv/84/v1BuQo6ZVgq0bBQLY6AL8NCizkq10ltc85Hjyag3mZqmFMNi8xCefuGarDoFjETFCNwkpMIMI87n3lL+s60CFIrlUeFn+hWYFZ5EeNxCfmw1knIw8IalphAqb0o86jOuIlSSyhfLEquCzF4R7UZ6ADql41Tx8CKyVW3ygsLMZAOjpYeLvVhdQyWIcqwRPN76ahpAd2KuVKGRTcROqvMkIOQ6hLStVmk5s9l0o64j66QRPhil2SweF0Z+sRxZYal6B1ATQOpTmA7lI8eJUQnXbdas/u9enxde156pxdPveHV/RTtkkFkWVZkhoUm6TKFNYtr8O2LFuC1bXtxztGdAIgmSSlsqEIwCDQ1v2UBBxCWLJtOIZWycMdfLsTe4Ty6Olq0Ghaa40Ycd5i4rCYok//3FUNFgBo5lWhY9C4h8/b0OqvPuKoROXT6pMDjq1dadS/autBevyghn3HE5BLSQZ/p1k0wp4sACoMwDMusttKY4HEJ+RjxYdnhWoINlpigo9jDYGe/N5dGYC0hGiVUJIJOomGJmoelmky3YkUknpPorhp3Rb1Po2EB4Ajj+garYVhK//UuIbENvbaUYfH+Roxpait07bJt8yCnQ1YR3eoSrImmZjMppC0LeduWDE+XYXEnO51hptYSKr12z8WtVWV2CQHelOhAmLBm73lJFbl9Mt26bfW25+aHNxiPWbSBtBVddKtjWNTnTGhYpk3K4eSD3XwZov8OCw2L4VhUdEtdKQdNnehsI8aHUw51tUQOw0KFthoNi5gM0ykLzco486tnZQZAByfTbQQNi84l5LdalxkW+UpR9ydQilwLgnqPZA2L+0ZOHBfMsOhCqlUDxc9g0S2CqAaqYoPFw7CYXUKquN8/rLmi5sQKdgnFhDAVe3UQk4qATmDnt4IvFIuGKKHQTQDgrSVUyrzr3YluclDDmqO6oyjlTAWOFEIYJzMslRll/hoW9zOqo1DTXZe+16+W9Qmw5OMEQQ1r9suVkc2k3LIIEsNS6luzCMOic33Rlbx7fJctE9fBKY5oGLl0xklgplstw+J+pksc56m+G3HlJ+5PlLBmQM5SHMSwtCgTq8qwmBYUclizYOWAOVMmeI5BoU8cR4wXYbCUj5/LpDxuzr4Q+XaqY1jcz/wZFrPBol5Xy7Ic91tYqEkIxQRPw7vFc3f64dNxWtkw9Bos3n2rqfP9CpzqniP6DOmSwoWBOn/s0/SXaZPK6SMc13PpnPwWgRwlNI5Ax58o87Wg7QVSmjTwfhqWgi0zLJZmBR0G6jGKdniGxYkSqlDDQg2WQZPBohPGRTyOH8uhu250JaVjWMS8Gias2RXqhWur41suMyt++T2y6ZRbeLJ8nJF80WHv9AYLdWF6DTk6ATp1iDQhxhQ66jkwakYjypULXIZLHBcFfokR/UC1Qo4WiLqCi7ZzPip74TJmZncrQAyWwbzbXy1Lmqi1Ynjn+TBFBpV+IyJdsplU5EzRQGW1hGiUmQPfKCFisCj3SCcUDnIL+d3mdCpFCo3SKKHS64XzpuCiEw4A4D6DeTIuqPAyLGaNja6WEH1edDlWwiBo/gDg5LtSq8L7jd0JsFfYJRQXdFE2QXhr9z78zS9fkD5LRWRYHnltB97cNVD6LWFYvv/geikx2cJ5U3DO0XKSIwqVmc8Xi/pMt5pe60wqRD8jdAJhMFxwJzoxEHqihDQPr59ATAcaJqpCx0zRBFE6+vaHj76BKROzHnp/8+59eGLDLnxy4RxnAtK5XfzgDKJFOfeDDtlMymnfTQ+tx5fPmY+B4Txsu/TdlImuYNdhksjvHVcZucTUYFEZFvUcMikL+aKt17BUkDiO1pMS7ZAimJTnI6o40RGVRzR4afi4Y+CS5lO9jsoEqMUsjRqWsktocLTg6E3cyCSzoZPW6MeoQS8MqWHCsFQShSIYltFCyTgL47bQi27N28saFn+XEAAcMmMSVry63bg/NXTYGyIvT9oArWVlIZsuHXNY0R/pLl8Ul1A6lfKMHaIPZdOpikSuKStcMj0xJmQVY432y+vOOwr3vbQVT76xu7zvxlssbLDEBCkPS8iV278+8JpnkB8t2J4B2I9hAYA3d5UShKVTbqdSE3v97Mk38dI3ZhizvHqqhhZ16nq9aPSkeVNKxycdWugEwoAKAV2XkBIlpHXJVGaw+IpuJX1Qefu0Pkpo5Ws7sPK1HbjuPLkA31V3PA8AeG3bXnz3Y8eV9hVRw6KGNfu5hHLEJXTnM29ha+8Qlp5xKIASuyKl3NdonMRri2STpQaLGhVBz6EpXYqyyBcLWl/5cGDiOLNLiBqJuiy86jmFhesSivQz6dnRaZ7o6rg5o3cJuXlY9MdoJWG7ouKvONas9ha806PPNOzU3jKE5orrLCbdbEbPGgaBGgz7RvLIZrzRayooAyxgaes1l0CZH3Wsmz3F6/5ZfMR0/Ocjbxj3p15r1TAXR5OKRTqsYsoxyobVxHHaasrylOpb4DRtecRMwsCvVL9Co578IAwW0QdUl1BrcwaXLJqLJ9a7wvUQu605EtCE8QFdMbkgbC4bGvM7W6XPVapWHVhN83SKiG6BUjXOz7/vEAClh3HYJyeGOjDQ6CMBlV154Jr34Z8uOAYXnzSn9D1pty601wS6yg4S3cptjjbjiPuiY4l8RbcGhkXdr4onN7gPu5/gVwfBKI0oLqF3z+nAXf/7FGnbbCYlGRErX9shFTij0DFJurBmGiarUvrUaKXJ1HRsifiss60Z1513lKc9qph4W9+QE1ZLB16/kNiggfSkeVPwjQ8d6bx38gwpN+7cozudlPA6SAwLvJqnQTLZqIa9c40CNCw0q7IwgMT5zvQp5aDTsIz6aljS2kVAEJrSKWdVHjYXi84l5Ge3O9kCbNt5fdMn341bPn2C1mA55ZBpuPHjx+E7H1ng+Q7wjxJqSltal5DQGmXTlmM8OBoWn8RxKqPSonFhCehFt9UZLKXstyEYlgnCJaQX3erSCSSBYWGDJSbQhyKshkOIIv/pwmOkz1ULOYyoEyh1KNqn3tXVhi+ffUSodumOoX6mDsKHzpiETy6c44a7UoYlgi0hi279w5opIjMsmgRpAq6Gxbu9KdOtgInep26sojNoh2urySV0+anzcFRXm7RtNpPyDCau4FaJotAYZuKVmp9CbKcO0PQ+N6VSoQbXme3NuGTRXE/iL5Vh+dxPnsEdT22Wjgfos/C63/kPpBOyaamqszgf1SU0IZvBZ04+yFOvRqBFEt2W/ssMS7lAorYgneoSMrdXGARCbyKeuw+U69ZoK/SGzMPiMCzp8AzLggPbpfctEXOxFDQMi98904miTzt0mhMirsP5xx+AhWWmV4VqHNIjlzQsgs30XrtMOuVoSUZEplvFRUoxiRgoGUM6BPr96YdPlz4TRmqlgludpECHyQaXkMoE01PkPCzjCFEz3RaKNrb1eaM4AK8PMsglJEAz3QJuvgbh+/ZjPdSvdAZLUBw+NTKiCBp1UULqg66jOaOKe/18z2qEU7Fou4xMSl9LSMB0qnTg0NHiflDFcOJ/U9pCLpNGNp2S8jXQc2pKW06WWy/D4mUGHGOKGgUWYVgUCpxei0w6HAUturR6+iors/adPmnfAjpjSm2rCamyGF08B+J8VYNX5/Ki0GlY6B4GNQnmBNQwdb8xoiltYXCUMiylzy8/dR6am9JOzR8Kl2Hx6jAAIt4WDEtTsIblfYdPx5nvmoFzFe2bmMCDBNUCuv7l4xFynmt6f8IY+jq3LeBlWOSMzu6zLYeBEw2LMFgUYaqeYXHvvY1gQfhXzpmPQ2ZMwu9f3IIn39hdvUsogA0WcHJnKcaa6DNinKCuOw5rHkeQJoAQ8+jO/mHkiyW9yoxWxWAJYFj86GRdNEWYhG6qgVHSLnj37wdqLEUxJnQuIfVYWY1LKHIeFp+VkRP1oYkgoW4P7X4N94OukmgtoTBwNA/licY1WEqftxIWIEeihIDS/RZ1hEwGC+Ceq2i+Gu5ZaneRREXotktp3XUq3ARw8rZ+2hw6AckBJvI+gi6p+K0zqRsS/gmXpk6bAChRQuVN6D4EI6LTibmiW3Fsc3tdzUSZYSHh5J8++SAcoomKcRgWQ8XhkbKwfZiIOoOihKZNyuGSRXMxvVV2RakTeBDc8OyQDIvm/oQxio3no2pYFNenE4GocaFlM64LzBvW7D1eRlmk+D3vBdtGSzaNz5x8EA7oKLm6Bis0WA6dUeoTZx3VaTTcdFC1VWrOJWpYsktoHEHSBISYSAVlP6M15+n4KsPicdcYJkhVwyJcErqkUip0x/AM6AEGC/0+SgSGLrTVo2HxS40fEjRfjQrVJUT3HVbIpkJyCUUV3SouITH5iM8nEYMlm0lJ+qFMykJ3n94lRA8vTlEX1uyWWaCDmD7EOAwF7eZTkT/3K2Api24Jw6IMnMHXVBxbnJPX5UCPZzqdXJM30y1dPAyOlO5Vi8ZgaVImPb/EjmJbVcPiB32UENVkqAxLOrBP0/BiCqrp6O4dwk0PrceecpkIilUbduEXT292njt6n/zOSMeAhXn8TG4UPw0LZVh0OWwyKeoSUsOa/e+LbQe5vmibSv8dhiWiS+iOKxbiuvOOwnXnHeUI9sNA1e+oeiO6pzHJsDzyyCP40Ic+hK6uLliWhXvuuUf6/rLLLoNVpmDF3znnnBO435tuuglz585Fc3MzFi5ciKeffjpq0xoKXV4LP2w1rIABnehWZT/0+0yn5NWm6PS6tN0qVAMjX7A9nwUzLKSNFbqE3GMpUUI6DUvEMA8/t4yqSZDTw/sL2UynmpNWW/JxgmB2CZUNlpxisCjsyJYebx0hQJ743dIC4jt3O7fPFD1hzapLKMzgqksAV9q/beyX9JrrBMHud+H6pVtN3D22bj8mF1OLxmChuxCTja6+TdgoIbqtqmHxg07DohPdUg2LjpGguT9M95UyDtf8ag3++Y/rcNUvnvNsd/EPn8S1d72EZzaVwmIlDYtPl3FKg9BFQwijzWQ4ezPdyu5FbeFIR8PiFd36lfhQ4fdo0HlCtEkYqSZj0YQZrSWNWGtzUyDDorvHTi0h5dzoeJEEDUtkg2VgYADHHnssbrrpJuM255xzDrZu3er8/eIXv/Dd5y9/+Utcc801+PrXv47nnnsOxx57LM4++2xs326OrU8aorqEVFFkk7RCVlxCnighg0tIYVicFaMm6ZoK9asiUegLBE0MlqVfrQRBF72kDqa6wTXO4ofqBBSFYTGLbr0usqh5WEY9LqHS7yWDJS1HpdhwSz7IlZplo0SthaRG/5TaDW/iOLJdkyGpngoTw0LPDZCzyYaOEgrsl+U2CIbF4BJSnxcVVHQrtqCTqpPlVjPZiL4QVEsIIC4hRcPih3Ta+9zJieOUKKEmfZ6PaZNc949J8yYMspF8EU+UI+EeJ+GvKjbvLkVDRnUJ5ZVnMAimfqgOE6phLtqSL5YWabc9vhHPb+4BUHreVBeYuC5h2uTrEtIwSJUyLBRBrj46drhhzXp3l8ywjEGD5dxzz8UNN9yACy64wLhNLpdDZ2en8zd58mTffX73u9/FFVdcgcsvvxxHHnkkbrnlFkyYMAG33npr1OY1DJEZFiXslHZQTx6WkFFClsElFIZh8YY1257jhnmGKsl2O6wpkBcmSqhS0a1uxapS/AVldefLsBg+14puI7qE3NT8skuI5uvINaUlg7lnXyl/Ry6TwuQJclSOrGGR/+tYDC3DorA5UVxCugGcTqyUxTDlYVEvYVhtVUp5Djxh+2nv+VHIotvSf7oHJ0pIp2GJECXkuITy4V1C4lrJyc90eVjKLFA6pV0oUG2UjvkUvwVKfdNUy0fnEg7LLorfUrFumNU9DdM+5oB2d39qlJDUz12Du2jbWP5yN77521fcfZIw7tEy6yxOLYy4NUw0VKlNpe1onpxKEdQuGnqtloxQI7r8nrtGoCYalocffhgzZszAEUccgS984QvYtctsfY+MjGD16tVYsmSJ26hUCkuWLMGqVau0vxkeHkZfX5/0lySEM1hkyp52UHUCeGv3Ptz88AZs7xvCD1ZuQC8pAEiRTslhzWI/bk4NnyghT+I4by2hMLRsJQUQK9WwRE8cV/qvG0TER0XFYLGs0kRXiehWZ7CEZ1jke+Ynus2mU9oQUzVpXOn47mvR7KDU/H6J42hqcz/4VXqmrosJNCxUEt1Sd4L5nHSDterKKhRtPLRuO/7nubel7ZzijoaRmUb/6IpIDjkMi9lgEQm61Oyr8rblyWtUiG6Nm2r2T4wU8nyIZ4wyLLosxHQcMhks1EUyb5pblHH3wAhuf3wjnt+8x7feUemc/BiW0n+3lle4aYret1NIJJUncZxicFON38adA9K2GSVsf6RQdJ7JMK46v00khqW8neNWrMZgCXgeafI/J6xZMeLHDcMShHPOOQc//elPsWLFCnz729/GypUrce6556JQ0CcZ2rlzJwqFAmbOnCl9PnPmTHR3d2t/s2zZMrS3tzt/s2fPjvs0IkOXcMwPO/aWKPuZbV6DRV3Nb987jG8vfxUn/dMKLPvDq8Z9esOaS6/DRAmpk+7QqDdxXJgHNK0ZyIOgizbwali8x648rNk8qan6BnE+foOm6VTpPfUT/OoQySWUSWmTeIm+RUH7h+oSoi2jmghP4jjK4qX9jTkBcR11LI7JJUS39U8c577XDvSW/LtC0cbltz3jCcsVbTQZ5jRlvC483C2SqNGwKKn5w2hYBMMShl1QdRaAyrCUDkg1LDqGhTK9pkST9Fh0+3/+4zp847ev4IL/eMKpcE1BnyG/Uyoqk2clGVZFzhodVMPcZYWLmOgpWmlJ9304X3TGiKoZFq2GpbqwZiDYJfT+I9251g1r1ruE5ArbFTcpNsSeh+UTn/iE8/qYY47BggULcMghh+Dhhx/GmWeeGcsxrr32WlxzzTXO+76+voYbLXTuDDNX07A5QB4MK8lACZSjhMhPMwrD4heRoU7+2/qGjFEUvm2oQMNSOcMSUXQbIqxZTN4qo+HndjCF5ma1DEu4tqqJxrwuIdlg0aXFb29p8nym17CI79wvxaQ7NFrwJI6T+pgmSujbFx2DbCYl1ckS7hZLMXYKRVu6/3SypxMmvWx+ieNyTWlPJWGXYZHPW4UuzwwFZVhURg5wNSxag0WJEvKLonNEt+X9hWE2xfgxLBkshGHxaFjSzv51x6bbqnAS2xWK0mLjF09vdl7vG/buW1fTSgfVZRclQu8XV5yMnn0jOHZ2h/OZJ3Gcwsg5hqxtezLVNini5JE8YVhCMc4+zGxRZ7BUlzgOMIfl/82SwzFlUhYfe8+Bzmeefqku6gyLhkahJi4hioMPPhjTpk3D+vXrtd9PmzYN6XQa27Ztkz7ftm0bOjv1mQ1zuRza2tqkv0YjcuK48iZiMKIWtUn0FwRaSwggyYFCGBGiyWJQ2do3pKnBEWIlLSIxqo0S8ohuNRqWqMUPQ4huRbNVRsPP7WEa2OlAV1QYmyA4UUKqS6jcT9SwZp17bJImYytNBFW05X5Lr4trsBRJ4jgvA5FJe11CFxx/IE6aJyc3E33w1EOmOeenGmWlNrj73jfsrtIl3YEa1kwNLc3KVJyXmPhM+UPEatOYOI7sW5cZ2dWweNuQVVay4fKwCNeDeVv1N7QvUpeQLkroyC7vuJnNpJxrfaIhc6wrCi4YWRgdw0Lzufg9BeI59XteTVh0yFScq7Ar6qWWNSyWND6qzEYmXYp0pcJbx5AyjNMi4+5fzJ8R2iUk2lRpHhYKE8Ny8PSJ+MzJB8mLY8Ul5J84bj8wWN5++23s2rULs2bpKbpsNosTTjgBK1ascD4rFotYsWIFFi1aVOvmxQY6AIVhF9RU7dSijhJHTyEyegpklQHYj5EQg8MB5aiSrT2DXtFtBPFfFH1JGIZFNzhE1bDQzLUq3AlIMCwyo+Enuh3J61dFusixql1C5d/Tomo5gzGlK7wmHd6W25jSMCyDowVP3gl6DhmNvieTsjx9WPSdzy8+GDecfzRWXLPYE1JJzxMA9hEGwC+8kr7VhRSLr8WzZirI6KezAWSxotjE1jAsfnlYwmW6LbuEyvsL4xLKOUaOe838ih/mMil8aEEXvnXhMU7SMaA0UT78xcW44fyj8dlT52mPRSdvk7Guc1HOoAaLzzmpotsoidB08NOwpC3L6c/5gu3JVSXuRY4wEaq7WMXNnz4B3/zwUfjux46N7BISqE50q/+tbtGlpk9QE8eNedFtf38/1qxZgzVr1gAANm7ciDVr1mDz5s3o7+/Hl770JTz55JPYtGkTVqxYgfPOOw+HHnoozj77bGcfZ555Jr7//e8776+55hr88Ic/xE9+8hP8+c9/xhe+8AUMDAzg8ssvr/4M6wbKsARvrQodZQ1LFS4hSncq7owwUULCYOnuHYqcOE60IehYKvQaFuUBjiVxnBDS+rmESv9Vl5Cfm060X03JTgekqKtFOsEVSGSCKXGcDjqGRdWw6HJBAC5LMDRa8AxifgxLyhIiZblN4n7mMml8+uSDMGfqBA8dLc5XwFRcz5OaP0DDokY3mRgWUefI1M8naES3YTUs7iQvRLdmiKzODsNSsYbFK7oVFaBbsmmkUhY+cdIcHE2YlmwmhYOmTsSnTz7I2K/osaIYLDRk2pd5UMKaq13ZqwJnVcDtMCy27XHviu/oOQcljpsyMYtLT5mLjglZ3/M8fs5k0ib5u1zG24fCwrS40mULV59BVWtHf5GEPCyRNSzPPvsszjjjDOe90JJceumluPnmm/Hiiy/iJz/5CXp6etDV1YWzzjoL119/PXI5t7Nu2LABO3fudN5//OMfx44dO/C1r30N3d3dOO6447B8+XKPEDfJkDUsIVxCSqeXXEIVmrKq6FZlB/wYCdHkA8philt6B3F8sUPaJlzGzTJTEUFeElXDMrMth219wxXnYdEnjlMZFuGCKU92IRiWCdm0FMFFDaooyaYAeeVDB1HhEmrNufoU08TS2hysYaGX0CK7adEwLLrEcU2KcSKM5KaM3mCh0KV4p/fUNBmqu5I0LJprIQZaMQir2o2/+otDMb01h/OO6yq11dDPdQxL2CghNXw0TKZbV8Ni3NRBTnEjAXJtnNe29eNXz76Fdd17AQCHEFaF3j8TW6c71ki+aDT+qDsPKInEZQ0QdTXoGWq/mj1R4GVY6Gs5d9SoMqaIa0MNlijPsm6Sv+H8o5GyLElLEifD4rqxLYm91DMspc9e7d6LB17Z5uaYSWhYc2SDZfHixb4P2x//+MfAfWzatMnz2VVXXYWrrroqanMSA3pJwmR5VSdPOtCGibrQQRQ6VPfjpO0OIbqlDIsnT0UUhiWChkXnB/fLdNvZ1oxtfcOV52HRnIY4nG1wCfm56UT7PQwLNVhEJE5oDYvrLpEMFhElRGsJGVZjkzQuITnTrT7bJuCyBNR9okscp1ayFtdJnWR0fUelowF3QveDJ6xZYlg0LqHy1+JZU/vbrI4WXHzSHOP+BSZoJtywGhZTzRYd3Ey34RkWNX084C3F8eX/ftF5feQsl1Vpksae4ImSTt66HEoAsFcxWNR6RKpeijIyarbpShdwAh4Ni1LQz3WZ257+pxosw3mvi9QPOuN3fmcr3jNX1gep40I1otuOCSUd4vRJOWwpp88A9PeWsi5/+dNncf35RwNwn3XpWiXAYqm5hmV/gZw4Lnh7NVSUdtBK6tYApYfD0jAsTeSBNEG0XzAsW3uHoNo34VJRR3cJ6QwWL8Pivp9RDteNGiWkXnMKdQJyNSOCpQoW3aora12oe3jRresSklZJ5faoYc06tGpcQgDRX8BWNCzua5lhkSfOtNLH6L0R99/kEqLQiW7VFa4OXtGt+1qX0lwcWrRB7W/q/kwrepojJmqUkJgYKhHdhtOweKOETNFrUydmJT0JHXvCrOxp4jgTC9azT64tNH2SbLBIuqNMCg9c8z4nd4p4VvwMwChQbUPKJFLRbbFoe8YUMXHTcgRqbS0/6DbRGQ5ql6uGYTl+dge+fdExWHbRgsDjqucg0m2kEsqwsMESEySDJYzoVhGAShqWil1CUBiW8BoW0f6ucqmA4XwRu8rp3d39R3AJVV1LSD4WHbQ7ywZLdIZFv28g2CXkJ7odJi4hCto+P8GvDk3EjSeuTzrlCgTVsGYddAwLIOsvTAxLjmhYxLznhDWTU1Az3dI+JyeYM7uERjXiUD/41RLSuoSU4ocqK6AasLq25jIpbeIzWcMSIazZLzW/IroN02W0UUKGa/muWW2e8HJ1P2GPZTJY9uyTk1t2KBmX1RD6Q2dMwqdPPgiA6072u57R4KNhoaLbou1J/SAWCOJ5GC6QzM8hZk+dsak3WOTtqkkcZ1kWPn7iHBylRIHpWBu1LWLMdzNTy/ttNNhgiQtSREh4DYvoqLSDqq6dsPBUaxaJ45SsqX7taW5KOeK4d8oFGnViSxPCVIZWofOD+xltIjvwaKGUjde2bdz++EaseatH2u6NHf34wcoNTo4SmupbhVd0K7uE/Nrjim5lA4GeVsFxCRl3I4HS9P+24rVyW9wfU32KiT4OMlhG8kX84JE3nM9p2yjDUlBqp/i5hKhhJzEvPgP3SN7tK2H6jSd7b8p/whUTi8OwqAnjlJ/oXDBqfg41Sujx9Tvx5Bu7Afhnun21e28pX4nPaTYpmrMoLiEpSshg0KvGA71mlRosKguiMiyqpklnZKruZD9NUBT4a1jktA+qkScWLE7umdGis79QDIvm3unEr3EyLAJqoECTVnQrf7anfN/cdnuN9EaCDZaYUKzYYCm9V/NWTJ6QVX8SCJPoVld6XgVNHtbVUTII3tlTMlgml3OztLUES54qynSr8YOrAxzFcSQpVNEGnn+rB9/47Sv4+m/WStv9xf9biWV/eBU3PvCa1CZ94jixYlYYFuES8osSKrd/QpwuIXK8Xzz9luez1uYMmptK7piJuTSmTvT2F53oFnANk1sf34jvrXjd/ZwMTk5Y80jBzRmkMVxTliUZ2/Q6UUNGJ1rWaVio8Tq/s1XbfnVXdLDXa1hkQ0t1Can9QWecquyZ6kK85ldrnO+mTPLeC9qfr73rJazd0uvZxtlWsaDCaAeCooQo3nvYNOPxwmgnnMmbiG7V8Wr3wIj2NwL0jMQ9U5lgv6irKPDVsKQsaXz0RgnJGpbBUVebE+ZZ1us9vb+LU8Mi0JyVywroEkmqkYS7+kv3LalhzbFnut1fQUPnwkgrREcWD+nHTyxl6j1p3mQAwH986t1Y9cYu3PjA6/odAPjRJe/Bm7v34frflYp1lfKwuN+r7ICvhoUIyTrbmvEieh2G5fTDpuOEgyZj0SFTjb8XiCvT7cy2nOezX39+Ebb1DeGYA9udz/LFIvaUB0dTjaXVb+4ptancpDC1hFSXkJ8QesTgEspLLqHwq2XT8VRx5H9+5j0YLRQxIZvBb646FQ+9uh0/e3Iz1m0rRYKYNCyiCY++vlP6XNKwZF1NhB/DkrKAGeReUYZlUi6DvUOlAV5nBOg0LCJ3yFVnHIpLFh2kbb+fC0fvEipvV36huoRUY1RnIEzM6hkW0V9E31t6xiE4nhjUAuoEZOqrgMZgCdFlwmhYjpzVhstOmYuPnHCg9LlksIRiWMSxCg4TqbIgPYpLSD1/XQi9monYTxMUBX7FD0sV5kuvC0VdHpYyw5IRBrx7TcMk+NRlF9ct5uKMEhLIZdL4wWdOwLObdmN+ZxtmtXsLVc5qb8H3P3k8vv6bl7FrYAS7ymOprrp6EhgWNlhiQmSGRZnA0ikLn1zoRiosPHgqpkzM+hosZ75rBt7eM+gaLIpuwI0SCjYiaNRSV4crvAVKDw9tmx+ch7/KWkK6h+vEsrKeFvorFG1nJWbKuulUY/VR96eUFbPqErLK4Y+6a2jKw0K1TFFrCYlClvQyqkbM6YdPd14fOHkCPrNoLu5Zs8X5LMgltHdoVPs5ADRnCMOiXDdVy9FF7hU1TFqbM9haJhJ0q1G1gjHNN/O50+Y5zJ6p/QJ0deqXh8XJdKuKbpWf6No6IacwLJCZRNFfLlk0N7RugWLOlAnOa3WyqjgPi9JX331QBz52oreESTYqw1I+Vj+JBFKNCtVgUbPmyqLb0m/VHE7Vim7nTZuIjTsHcOZ8OT2GmjhOMCz5YtFjYIh7Ka4LHXvCMCy6xViHhumohUsIAM44YgbOOGKG7zb/a0EXHn1tJ3757FsOM+bmYXEblgB7hQ2WuCBHCYVxCZX++4kwgyY3y7KkgSJlQesSCsOwUI2F0IjQ/YaF4xKqkmGZ1e4t3CdAV8T5ou2sxMwp8kvbOy4hrcECaRsxidJjmQwWoYlQV5m6sOawTK9lWR7fexifOb3HusRxgNtH+gbl0FNJw5ItCz/zrsGi0zKp/YVOzNRg0tU3cUN95WsO+IucPYnjNOHYFGJzJ9NtgEtIt3L2MCzkdGhFa5Nhohqbwsi+/NS5OHjaRJx1lFuGxMtGaHcpQZuHRVkITJ3oZS3VtoWKEipvI9gzwMsuCi3EZ0+dh0NnTMKFxx8gfS8ZLA7DIhssfpmDw+CXV56MP77cjQveLTNKJg1LsWgWKos20vDrMAL6EVL0944rFmLvUN6JcpTapOyrmsRxlUDomoTBonMJVRteHgfYYIkLZHIJozf1qxwsEMaCp6uPQtH2jxLyicCgETSqsRClo1biEtIxI7pKwwJ0FV8o2M5KLMhgUXVDFKZaQlQg15SyMOL5pbttOlWqOeJkjdQYsdXQqmEmE5qO3TR5iiYMKgnUZKbCZVhU8SedrC2FYSlIBpO7ktQ1xalgXL5eoyHaXmqH+b1f4jg3rFk+bz8DSEA1hGhUmS5Pjgr13gkheGsug88smit9p+4jiobFVPwQAKa16g2WLJkco4huKcOy5MiZeLbsegVchuW4OR348LFdnn3QlbujYVH0b9VqWGa0NXuuLaCJErLEgq5oDEwQ/YoaLGGiOemYdMoh04zbqV0uLoYlLNoVIbZbS8j7WSPBotuYQFmVKJlu/TpBmA5CH+aRfFEbrhhFw5KyLI87JkpHDVNoUYXO0PAbpFIpV6uTL7oGy7DBIBPXwTHKtBoWmRlSXUKAOReLaL9lWdJqsKhhWKp56MMkFAxz3cO0gGpYxMTnJI5TKHUqxt5JQuFbAxmW0n7EhJ8PyMopoF5DKXGcrpaQYFhEWLMSJRQmrFl197n9RXZpmtqtsiaDPnWC/CJqTNBHCcnnOc3gYpMYliguoTLDkk2n8NlT5+H684/2ZC+emNU/x5KRWV50qYsdJ0rIsI9KIWtY5DFLRKwdc0A7fv15t5adMKqoSyiMIWlaRKnwaFhiEN1GQUeL3DfE4dWMxI0GGywxQcp0G6X4oU8nCBPnL5WDLxQNDIvw0Qa7hFIprzsmyiRbSabbsA81BR1kKMOiMxYzqktIGyWE8jal/2otodJr/XVwE3wpjJcUJSSOU43BEtwhwuQxCTPQUoNRDNKiH6WVQYwOajT/BhX96pqualjE/5Tlz+rRtPKl7elq3axhEftUNVPqkXTHVqtAUxcizY5qmmjUeycYFl1/qER0q2pYbNubU+QIQ9QVXc37RecJiMRxIpttLlOKRvnMyQfh8JnyvZmQNbglyUk1K1FC4hl0NCwxsw20v6ZTluMCLNhu4rjzjutyNHOAl2EJmyvrkOmTgjdC7TQsYaGGuusWGEnIw8IuoZgQOdNtGJdQRJN2JF/01bCYDKlSLpPyMS0LM9uaJcFnJA1LDC6hMCK7dKpUJyNfLEqujdGC7clzkFVdQj6iW3FfxCSky+KqQkwSKUv2t1ejYdEhTFHMMPWVQjF3ZMAcGBY1bYRLyP293yAWpGFRCwKKLLem87xn6al4c9cA3k2KxtF2AXqDhfZtwJ0IBYbUvCyac1Iz6IotbNtl4zIpy2gMqoaAy7B4t1XPIRzD4jJitm1Lfe+WT58AwMbBhskzclizYhxJeVyU36vaFgF6Rg7DoohuhVHXHDPDQpGyLOd+50kZDNVodDUsJSMtrHh+0SFT8f8+eqzRWKTtkI5Xb5dQi2qwlP7LYc1ssIwb0GkijEsojIsgbM4OgZJLyH3vRAml3QdS3xb3dcoq6TCmTco5aZqjGE4VZboNKQ6kKAlQi1KUkNhXNpOS7kFGaZNuTFYTgekGLpPoVbiiLMgiaF3xw2rqcWRDuITCJF4L04RMOeX+aMHGwLBgWHSuNDjfqUYqFf2GCWsW+hvTpHnc7A4pB49AUC0hVWytGsg0t4a6PwFV+OlonmCe5ChME5DuXlSThwUoGVD0+TvtsGnGiDH1eGEmSnX175d4bmLOYLBojExPHhaRlK6GAlTVJaRzBZfaKFxC0RgWy7JwkRJGbtqOou4aFtVgcTQs7BIal7Al+j+MS6j0v5ooIRWjhaJ0bLGqcx9IvbtASs9e3pa6haK0w10lhf6JxyU0VZN4SwUtWEYZFrEvSVeQCXYJuYnA5NV+GJcQZViowdI/nMcPVm7Axp0DnjD2ShCXSygstSvOpX/EbLCI81FrxQAyw6LrQ2oFYycyK2LxT50egsIRRRs0LFRICegNWlVTRRPHjRS8bJyKpnQKt19+opNFWt2Pui1FlCghoKRjof0/aHKtNNOt/vfydTK5hOhpi2urim4FwxK3hoVCqtZMBNRqH1RdQlEXk8HtkN/XXcNicAkljWFhgyUmVJqHpdooIYrDZ7bKBouSpdXkLqC/Ec2ZO3Wi81mbIWOqDg7DUoXo9mwS4mmCTsMCuKJDyro0OW0qvdc9eNQAAtxJlA5cgS4Zy8I0Ymy9uWsflv3hVZzxLw973BKVIIxLaMmRpZwTc6dOMG4TtgViIvGrgyQ+Ou+4UiRIJ4nuag1gWARjNOJoWPxDg00IShyn5pFRGb15pK+X2urdhzdKqPS/aNta14gOi4+YgXOONucEEfBECYXJw0K1bEQoXdqff7si1xJS9pf1YWjUcHABbWr+8k/F/RLPcrXFD/0gGSwkcZx6jq7BUjbeIxrVQVCfrfprWAyiW/JZAuwVdgnFBWqjhPGGVBIl9M0PH4VbVm5wEroJ3PdX78Xad3rx/iNn4o6nNzufq7WETMwPNbDEg/Plc47AwdMnIpdJ45MnhUsaR38fRksBlJgpwZD89+cX4c9b+/CJEMejNYuGNAwL/UysYv1YDjEoitX3qMY9ISbdSxcdhENnTMLyl7vx+Ppd7nEA/N8PHomWbAa/fcFN4Ab4h1SbsPzq9+KBV7bhX/70mnR8P/zfD7wL8ztbcdaRZqMv7EpJdYP4MSzXnHU4DpzcgsUkSRUtDeBXS2i0UMRLb/fi1sc3lj6PyCzKk593Na5ql8REOG1SFn937rs8GZz1/cMU1qx3H5qgtk93Kzxp7EPcr1TKQjadwkihiOF8USpUGeTSzUosYohzUK5FJS4h2iSHYVFctw7DUnXxQzPSKdkVNWJiWJpkl1DcDIt6j+utYZmYTSOTskhhR0v6DySDYWGDJSZIdWMCLJaihtHQQV3oXXrKXPxmzTseg+XIrjYcWa7MSY0SNTOpyYhQNSxAKXPq1UsO9z0PHdKKcRAEqic4orMV7yHKfD9QhmVwxN9gEcp/20fD0kzSjQN6l5AYxCaWc2e8snUvHodrsKQsC/OmTcRnTj7Ia7D4JK0zYX5nG+ZOnegYLGHcPRNzGVyiyT1BEbYJ6spWZzCJgTaXSXtyXsiiW43B4og3bXzo+495Pg8LOpDqVqai34v2C6P02AM7PGnqS231HkO9FuKQNnEjhFkVq/vR3QtvptvA3Tq/GymUChLawh0cwgCptJYQPa5AjnzX0pQ2Hl/Ow1LWsCii26Hys6gLVY8LlmU5jFqJYTGIbgXDIgToMQs6Gh0lZFkW2luanNT8TuI4sk0SDBZ2CcUEOj0HuYQKGkZDB/qd6CtBKyBqsIjJJChKSHYJVdcpo7qEqGERJUGUoGRHi0XJ/SMMIKprEefnx2oJP7kwfrQuIRHWWz5HlbqnAlQVQz5hrH6gKy01uqVShNWwmISm8mfm309qDjBYNLWEgPCCRl0bdMdRE9+JPmJ69nQRTarwkyYaFLk7KmFYwoQ1h13N02y3zsQb4lpGryVkdgnR70y1rABDan5lnKoHw5KyLGdhmJdEtyYNi7k2VrXtoKi3wQLIwlunz0kaljo3SANmWGICFd0GFT/UiVx1UDMyAsEdWceiuAyLvmF2SAMqDKJmuhXGRiZlRdIu0FWRJLotCIbFm/HTr/ihWMUN+biEmpTEaSZxpO4abukdNH7nB2pcmGolRUVYm0ld2erEsH77ag1gWLJK4jiBajQsuuO4xRtL70fy/i4c3ceesGaiYYniEvIyNcEGS1hWjoYbi+sQhmGRGJIIqfmd96Sf0H2ZSkMAquhWZljcPCzVZboNA1rDqVj0CWtWRLfVRPvp0GjRLSAbmPpaQo23WNhgiQlRaglRu8Fv9SQNxMJgCejIOmYjGsPiu/tApMlAHgaV1gsJ0rBQN5E4P7VCNoU4vmiPziWkutjUQc1JAa+5p6LydTUMVlwMSy00LDpIGhYfhkU1xKIaLJbGsKcQBquamt8UjaS7fya2qWiTfCQhhJhehsW7jZpHKLSBSbLdhqky7hwvKsPiI7qlr1t9Qql1uiN1YTVUZS0hP/z35xehu28IR3S2Yv32/vJxSZRQSjVY0s42pe9rp2GZkE03xDho0zAscpRQvVvkBRssMYHOz7G5hOhAXH5+KmNYylFChhwdtPBhtQ9KdIalMj+1KUrI0bBIKcpll5DuFMUqT+xrVLMKF6/FLVMnKLFfXbqWd/YIgyXgxHwQF8NSqYbFr6SBDnSFrdPfiOspCuW5n0e7SHT+1DMsskvIZfVMDIv387nT5EgicRg7IsOishO6M/Uyd9EZFqecQoh02U20XlaIc0ilLEmgSc9JdgmZowtll5DsahULumqrNfuBauWkKKHyOalGoyeZXw1dQqZQ8FqDRoMKlzudypKgYWGDJSbQ+TlIGxlWM5LSMSwBBovOUAjOdBvclrAIU7eIwmFYstEGJbE6zisaFsdg0TAstMCjihbHJVQ2WDTRAk7khYFuF/Spbv9+xw6LZDIs5t9PIL/XtV2Ia3f1ywZLGDeG3Abvc0Ih+qKHYTFqWNzX/37x8UinLE+KdZq3ZySS6FZhWHSuskywoagDzXbr5IbJBP82qoZFbJcvP2OmKCG/ZHX0nqlRQgXblqIHa6lhAeTx0WToqS7B+DUs7mtTZFWtQWuCiT5nI9xcVS+wwRITqA4kKNMtdduEncDEwBbkEvLTsIwGuITiCNWrVHQbNZtl2qBhGdYyLEWpTX5hq66GxZuPQUyk4jp5XUKQvtehGgarFhqWlGUuJaFOrlFdQnQyVpOzAS5DtYsUTCx9XrnBoiMUVIZFnK/JJUTbvfDgKZjR6q0c7kYJRcsf42FYQmhYwnaZrCS6Dd+midkMsukU0ikrdN2eXCbl3FM5D4vbZ/w0LLQr6VLzl7L1iu9rO4HrwppNmW4F4p68E8ewOBSi+72VgBAdNlhiQqUuobCGuqObCBhQtBoWJw9LERt29OP+V7bhslPmOhOSm7o8XFv8QGvyPPTqdvQOjuL84w8AUJqYfvLEJgzni7j4pDlY9cYubNo1ACB6NkvK5EguoULp9eCIO7k7UUK+eVgUDYs2Nb+qYZH34ye6Fagm31QtooQ6JmSxe2BEu51qsOhWlWH7r9ZgKfflAeW7qJluVdHtvVedivXb+3HNr14A4Bqs6n0xim4DNDH088h5WEKENVfqEqIaFqdNIR7qlmwaP/jMCUinrNDslolVCRslRJ1havFDQNag1ZphodqZvCFrsWpoRu2jQaC32FThutaQNCwpwbC4YIZlHIFSZ0H6DWFURNGMiEH0hDmTccdTm43b6SKBqED1/O8/jr3DeezcO4yv/q8jpfbG0SEpw3L57c8AAI6d3YF50ybijqc243sPrgcArHpjF158u9f5XXSGpcwalRNlCejzsAiXkFl069GwaFxCIhukWIl4VsI+LiG13VFwVFcbXt7S55sMLgpoE044aDLuf2Wbdrsw7guR/ycIh83wFt4zTfBRRbdSWLNlYcGBHVhwYIdjsKiZbgVMtL6l7M/vmEUpD0vwvVX7uW7/KsMUJQ8LUHoGRiO4hADgjPkzgjfSHMvvtb/o1n2dU6KEALccRMqKrmmKClolOqiWkPubeOkGOvbWshSBH1o1aQjsChbXtQQbLDGB2ihBATKOniGCgSAMmwuOPwAjhSJOOGiydrsgDYsoCf+nV7Y5Botwg8SxknFyXRAhz8ad/Zg3bSJ6B0edz17dulf6XdSKrOKcRCIngRGfPCyuS8i7P0+UkMYl9FdnHoojZ7Xifx07C4CZuvcz/CpxCd1++Un4w9qtDlNVLWj7Fh8xHece3YlDNQaF2h/oBP/7vzoNr2zpwxlH+E90f/jr9+Klt0tZmFWYDZZo10jKxhkiD4uAKb26XPDNn2GxSWr+ShgWtYZLaT8KcxdyphAswI0PvI7LT50buk2VwBRZRBPH+Yc1u+ekpuYHgH3lcaqlqfYRM7RfiwWLN9OtqiuKtw20n5nKGdQa1CWkz7nUeIuFDZaYECXTbSVZT8U4kEpZuNgndb3u2GlNLSHqBnDV+NUbLMIyFxV+AWDPwKjn+Go9l7C+c/U4e4flSruCbRmmDEtBFt3qrrs4dzU1Px3wZ7W3SNlcvYnjasOwTG/NBWavjQI6ATSlU7jw3fpqsp4oIdL2o7racVRXe+Cx3jWrDe+apWdhTJNpmMgWiiDRrTBYVUbF5C6huzD57d08LG5fDqO9UVfqUzSVyTPplKQtCh8lVNr3Oz2DuOH3fwZQO4NlImFPTFFCk3LmKCF6K1TRLVAqHEq/qyXoeOBECRnysAhE7aOBbSDXY0ICRLcZh2Fxv0+AvcKZbuNCFA2LWOlHYVjCblvQhC7rooT6yUQ/GGP4YMYxWFyDYddASVSpGikUlWpYBhSDRRwjcqbb8sA4Uq54HaZycJTEceo2jQRtgx+bod6TuNORmyb4yInjqMGiaaNgy1RD1XRvg/K60G1sGxgVmW4rSM0/ZaJ+UqfXIKqGRd5PbTrcu+e4DG8lGhZKBDsMCzlPoXmqh8Gicw2qWh6P6DbmmdNKGsOSUA0LGywxQcp0G+ASMvnU/RCWjdFFCdEQYB3iZFhEO6lBJGofjfpEuVQaJdSvGiyOhoVkuhVRQrbZUGxWQnDDRH54NSwlRClo2QhYksFiPj+P3iJmg8Wkr4g6yUpRT9o8LGXRrXLtTedOtzKdslbDUgHDMlmpkiuQlQyWwN0CgCMYpagVw3L64dOc16bEcX4uIVqhXU0cB1CGpfZTlK5fq8asGu49PhkWb+K4pOVhYYMlJlAzISiklyZqC4uwk4WO3aEMC92PMLLizCgpOrqouQEA3WWDxS83S6UMi8lgGfQR3erGGro6HRwtOIO/3yRkcgn55WiIe9KvBCnFJWSCqiuKu0JtXKJbXUZoCneBYP6dCWE0LKOGyBIdqBbCslwhtwrK1oSdKJ7b3OPdT40MlpMPditciyzOQHjRrWyweEW3YvyohwA1jPA5XU6WJ1DLxHFJYFjcKKFkiW7ZYIkJ1EgJ7RKKomEJOWj5Zrot2pgy0R0g+4ZKg0KcNTtchsU1GLaUDRY/l5AqaguCEEz2D+k1LEMaDYs4vFZQlrKcgXNotIARwbD4RFmoLgBxO8PWh2oUZA2LuT2qrqheLqGoIaOmPCzTJpX6+nsPm17+TnEJGc6HfhwmrNmUu0MHyrBMzGaM15Re+7CT42mHTfN8ViuXEM0VcjBJqpeTXEJmDcuUSe44JM6Pnufusu6tHjlJtAyL5jN6brEnjiNdZ0ICooREn5Y1LI0fu1h0GxOonRDoEvJxTZgQdtAK0rDQ3WztHUR7SxPRsMTIsAxThqW0AvNzCUVld4IYliGNhsWvlhBQWs0N54tll5B/+nZAI9oMIbqNe2VWCWQNi/n86Oo2ZcU/YJmOHbasg4Aa1ixw71WnYcWft+GiEw70fOd3fFnD4n/sIokSCpfp1t3Gb2I6YHKLY+iH7TJfPvsIvLV7Hx59fafzWa0YFgB45EtnYOVr2/HRE1zRdtjihwd0tOCWT5/giZJKpywUijZe2dIHANrotbhhWZYkcrYs/TOca0o7OYPiXnhIGhYfZqqWoP1R1QYmBcywxAR1iPVzCwkpSZTJK7Qf269ac8GWqFihLYmzZocYH2mH3753GKOForaejEBUY0mck8qw+GlY3MRxhjZk3Gy3YXQJxsRxvhoW41d1A22Cr0uI3JO4ffalY+svxkgVGX3pRNPVUYrqEqt0Tx4Wo+jWfR134jjan/wmpjlT3NpFYSfHjglZXHn6wdJntTRY5kydgM8smiv1Ezrx+qXmB4Bzju6UXEuA++ysfacXAHCkIcIsbtD+3ZRKaY3zmjIsUqbbxjAsluSSK80JQVnb6w02WGKCemP93EJ+4k8Twg5aurBmyrBIBktPyWCJs2aHTgxr2yWjxVfDEhfD4hMl5JeaH3AZhe+teN15YKO4hET+Dr+5PW4dSCVIhXQJ0XtSA3vFGFVTTQmCKO44Y+I4+jpAdGvD1ubsMUGtymvC3KkTAtugg9qGWiddU0HHlyCDRQfRz9ZtK+VpMoXExw1qzJquGTVYTDl8KoUkum2QhoVCjKsRyc6agw2WmKDaCX65WCqJEgq77VnlBF3zO1s9v80X5ayw2/oEwxKfhsVhWJR069v6hnxXzlHZHRF2uHd4VPrcEd2O6ES3oo3+A9KfSObXKC6hMLWEkuESCim6baIryviHiuZMWnvfozIs9Enzu/beTLcBSVZgdoM5YZ+ShiXavfUTV84hBkuUcUI1AmvJsOgwo9XNK1OJ5iktXXt5HKslaFtN5Qmo/ijuhYcsum0Mw0Ihrrvt8R00Fo035cYJVEbFj0mrZZTQP114DE6aNwXnHj3L+UxQ36MFW2I5hCvIiRKK4UGhBcwohkYKsbqEhPumZ59ssAiDjDIvYfKwAPrz91s1qy6FcHlYGm+whA5rJvekFtFN2UwKP/jMe/D0xl04fGYr/vrONQDcasqVIIp+yOgSCnEcJ3Fc0Xa0WWHysFD4ha/OnRrdJQToGJb6Gixzp03Ef3zq3Zg2yZsQLwzoPZo7dWLd9Bwyw2IwWJpq5xKit3hCgzQsAPCnvzkdq9/cgw8t6AIQnLW93mCDJSZ4NCx+LqFK8rCEHLTamps8WVGFm0YtQDeoGCxRs83qYDqnwdGCr0sossFSHjz2qhqWgtdg8YY1myIzvG3wcwmpg5ZwCakiPoo6zx9ahGdYamuwAMD7Dp+O9x1eiuJxDZaIDEvIbJyeTLeGcw/zrIl7HTXTLYUfw0INlihFL1Xhb70NFgD4wDGzgjcygPazw2fWXnArkInoEgojsI6CpDAsh89sxeEz68NqVYIEDJ/jA6qB4hfp4LiEomS6rWLCcOrujMiTuxgIhfskaj0fHUztHBotOlS/zg0QVcOibi9C8kRKfirGLagGi+FS6hgWP1eIeq5S0TyTPiJxDEs4DUs988dUo2HxdQmptYSM9yj4ONrEcVEZFp/nrZ1Ez7y1e9C4nQrVQKm3hqVa0HvU5hMWHTdSYRgWsqCJO3pJEt02kGFRkTCChQ2WuKASKn5iJb+aNiZUM1+kHYNFZVjKETXCkIiYbVYH0+p0kIQKT9Eky4rOsMjbi8FtpFAs51EhUUIFkem29N40qekMKb8BXzVmwqR0T57oNiTDUod2i+uvRo5EQRSXkOnehjlTeg2d1PwR2YyFIc9z7rQJwRuVkQSGpRrQe1SPtPwClGExuQopwxK3GJgucJOgYRFgl9A4hRol5BcOVssoIR1M/laVYYlDw+J3LOGamTIp6+SYEIjKsKhsUHtLE97pGcRIvuiJHPJoWEwuIU0b/BgRNVJAygdiOEYSMt2G1bCkUxay6RRGCsW6tPv+v3kfHn5th5TXIyp875dyqib2LCrDEiVxHAD88erT8dzmPbgwoPr2/X9zOp59cw/+V1lPEAaqETbWDBY6JtYjLb9zXNK/Ta69UWJUxG2wDBHdVhKihFwky2KJ3CMeeeQRfOhDH0JXVxcsy8I999zjfDc6OoqvfOUrOOaYYzBx4kR0dXXhkksuwZYtW3z3+Y1vfAOWZUl/8+fPj3wyjYTKqIRxCUWr1lz5hGF205QeEiFyjGOAMJ3T0GjBESfq6qdEPbaqtxGVRkfyRU9ulnzRlvLimIw/U/VeEzwaFmqwGIvmRTpETUBt6SCXgRAa1sNgmT1lAj5z8kGRV9Zhc0V4wpqNDEsIDYuThyVaan4AOKKzFRefNCfw+T9sZmm7KNc+l5av3ZhzCTWIYUmHYFg27ux3XtOM4XFgiLDfcetjqkHSGJbIV2ZgYADHHnssbrrpJs93+/btw3PPPYd/+Id/wHPPPYe77roL69atw4c//OHA/R511FHYunWr8/fYY49FbVpDEcUl5GS6jXD1q5kwTKssD8MSY6Zb3bFEunu9wRJRw5I1u4QEwyKaUijaksbI1Ma+oVHt5yZ4NCxkojPlaUiCS4hGawWtwEWfiDsqohEIH9YcvC9d4rgkTDSqSHysMSz0ljTKYDFdsyhaoqgYqiIyrpZImsESmXs699xzce6552q/a29vx/333y999v3vfx8nnXQSNm/ejDlz5pgbksmgs7MzanMSA1V0GyZKKIqbpxqXkF/kDuA+LLlY8rCE0LBoVieVhjULtJcrjY7ki07kUEdLE/bsG0W+aEt5cSzDGL5n30ikNlTCsCQhDwtl/4ImNHFfkuDKMiHsmKreE9NKOlSUUHkTm6bmT4Bx0Oiw5mpB71GujgagFCVkMGTPnD8DK17djsVHTI/9+DSzcZKw3+Vh6e3thWVZ6Ojo8N3u9ddfR1dXF5qbm7Fo0SIsW7bMaOAMDw9jeHjYed/X1xdnkytClEy3QflAdIgjSkiFSBgXJ8OiTsjtLU3oHRzF0GjREb/qDJao+hl1e9lgKTElHROy2FPO0zJaCGZY1JwuQfBGCRHRrbGwXuMnfmq8BbkMWsaAwRIWHtGtScMSZl+OweL2rSQYB+mUBctyV8ZRC0k2Go0S3UpCdEMqg29/ZAF+98IWXPDuyjVWJpxw0GT868ePxcHT6hfKHQZJY1hq+oQNDQ3hK1/5Ci6++GK0tZlFSgsXLsTtt9+O5cuX4+abb8bGjRvx3ve+F3v37tVuv2zZMrS3tzt/s2fPrtUphIY3D4t5W0d0G2ESOPngKRW0Cr7HEYZKrJlulQl5cjk8s8SwlM77gI4WAHIWy6g5YFTNizBYhkYLjkuIFlaj2VNNRsNph3qr3fpBdSmYivBRV0ES5n3KsASFWTfXUcNSa4RlWA6eHrzapRqWqKLbWsKyLIllSQLrEwUNY1hIXzDdx2mTcrjs1HnOWBM3Ljj+QBw7u6Mm+64UCbNXasewjI6O4mMf+xhs28bNN9/suy11MS1YsAALFy7EQQcdhF/96lf43Oc+59n+2muvxTXXXOO87+vra7jR4nEJ+RU/DAivpXj4i4vx+Iad+Nh7Kj8/dWJtSlsYLdiO2HYo1lpC8jl1TMgCu/ZhaMQNNT7tsGn4pwuOwYlzJ2Pz7n3IZlLGdNgmqMbVtHJK8IGRAvoGywxLi8FgMRzqb95/OOZMnYD3HzkTj6/fFZi4ylfDQr5raUo7x0/CxJ/XVPQ2YUy4hEKejlfDoj+n4+dMxr994jjMmWIOJ9ZrWJJxjbLplJPLJglGVBQ0TnRLilImKkqnsUgaw1KTOyOMlTfffBMPPvigL7uiQ0dHBw4//HCsX79e+30ul0MuV1nq51rBK7oNEyUUvN+50yZi7rTq/JuqALStuQm7BkYIwxJntWY9w0JDjXOZFD65sOTuO6zCrIrqYDadpALftne4fGzX9USFpiZDcWIu42QJ/kiI0Fp1wqNv6b1taUqjt2xEJcIlFKGi2VgwWMLCm5rf3N/PO84/5FhKHJcw4yCbSQFlj/lYixKiz0ddDRZymSb6lExgNBaxP2HCWHn99dfxwAMPYOrU6Emg+vv7sWHDBsyaVXmK53pDnQPidglVA3Viddwn+SJs2465WrP8XhgNNIV+VDZFB7Wt7ROanMF5a8+g85nAcAiXUFSkynoBAfqa2qs0o2kSDJZ8MXwmWUfDkoB2mxDW/FKfg2oin1zRrathSUKUECAbTkkxosJCZljqKbolDEuCMs02GkkT3UbuEf39/VizZg3WrFkDANi4cSPWrFmDzZs3Y3R0FB/5yEfw7LPP4uc//zkKhQK6u7vR3d2NkRE3AuPMM8/E97//fef9F7/4RaxcuRKbNm3CE088gQsuuADpdBoXX3xx9WdYJ6g3NlQeljpNAqph1Fo2WApFG/tGCo5xFUeUkHpOHcJgIVWV41j1qauvlqa0U85eJKVra25yVsKUYYkzUkee9NzX1GChAuEkMBXRGJbxo2FR+2Y1k3kqoRoWQDacktKmsGiU6Jb270lssLhIlr0S3SX07LPP4owzznDeCy3JpZdeim984xu49957AQDHHXec9LuHHnoIixcvBgBs2LABO3fudL57++23cfHFF2PXrl2YPn06TjvtNDz55JOYPj3+8LFaQfUA+SWzqrvBYukZFkAO5a2FhkW4hCjDEjVBmw5qW5ub0pjUnMGefaPoLhssrc0ZZFKlTK1CQxL3vJtJpTBaKHj2Te8/bWsS5v1CBMe0MLaSbLCETRynnkM15yREt1QblRTjoEkSkCb3vulAmxtHqZDQxyV9gRkWFwmzV6IbLIsXL/YdIMIMHps2bZLe33nnnVGbkTioIlu/SaHeLqFUSq4e3JrLOKGPIpQ3ZcUzuKnGUUc5hFkIYTMpKxaGQ40gaG5KoTXXBGDQMVgm5TKla1xwGZa4rzllWGjEDb37lGFJQh6WKKJbUfAtyQbLEZ3hdFCqPVFNfxeXY5BUUq5nVIsfsmSij8P9Wk80yiXEBoseYRcD9QLfmZjgCWv2kQkI70Q99QyCaQBKlHFzJo3B0YJjsLQ0pWOpJBzEsMSVFyKVspDLuNEQLWWGBYBznq3NTY5B4TIs8V5zKmimp05F17TKaxK0IPkILiFhbCU50+1ph07D//vosYGGizc1f/UuIZHnJ5tJJcdgIX1yzIU1J6D44SQW3TpIlrnCBktsiJTptoLU/NVCMA1AaSXYki0ZLMIlFNfg4DVYSgyLmCTjpM2bm9KOwdLclEarsjKa1JxxDIrhQm0MFplhcT+nNgENd02C6DaShmUMMCyWZeGiEFFd6so5DtFtT/n56WhpisXgjwOShiUhodZhQftZro4MC2U+OazZRcIIltomjhvr6B/O41/+uA5f+e8XYds2Nu4cwA9WbsC+kbxn2yhhzfV2CQHy4FxiWEq3/h9//2cA8RksqsuDJm8D4l3xUW1IM2FYBCblMs55j9YoD0ra5BKSCgySxHEJeOKiGCwt2fEjuj1sxiTMIykCqjNYygzLQMlgqVUysUpA+5uxXlJCQftmro4aFplhYYNFIGH2ChssfsikLHz/ofX45bNvoW8wj/d/dyWW/eFV3PjA655tvan5zfsVD2U9V2RNZNWVTafQXKb6u/tKeo+pk+KpPkoH7km5jFOUUCDOVOHCx51Np5BOWZ6Bpq0540y0wk0U9yWnE4K8a329nrHGsEydWMpvo97HsQjLsnD9eUc776sxwsRP+4a8WZUbjazyrI8l0BIarGFpPFjDMobQ3JTGlIlZ7B4YwZbeQcet8fTG3Z5t1TkgTFhzPfUMM1pz2F1eDQoNC8WyC4+J5TiHTJ+E//fRY/HGzn6cesg0T82fuF1Cpf+lfbYqk+rM9mbHoKiV6NbEsBQlhsXSbt8oRMnD8sEFs7BvJI+/eNfMGraofjjtsGm47bIT0ZKtTrOlGp7tLfEY/HFAysMyxlxCNP1APY0tNlj0SJa5wgZLIDrbmrF7YMSJPAH00QVqHhY/y7QRLqFZ7c14tbtUmylb1rAI/NVfHIqjutpjOxbVEwwMy+6zOAch12Ap/W8lLqGJ2ZKmJa2IbuM2EimVbBLdjmWGpbkpjc+Us/+OF5wxf0bV+1Af3aQyLEkJtQ4LGiZeTwaajgvsEiJImMUytnpzA9DV0QwA2NI76Hym8wtHyXTbiCihzvYW53U2k5L0H/S7uKFqY+J0CYlzEMYXHWhmdbTAsizHoBDi3LgHQYlhIU4hGuaeNhg1jUKUKCGGHpbiAOxIkIaFLgriyHlUT1CGpZ6gaSg4NX9yMbZ6cwPQ2V4yWCjDopt0VULFbxXbiCihrvJ5AGUNC/EPz+po1v0kFqRTcvXYeF1CpX0J95ZksJTP18OwxHzNTcYIvft09ZYEl1DC3NJjEqrdmyiGZUy7hBrTOUVdNYCjhCjGfGr+/Q2zyuzDlh5isGgmHdUF5OsSKtbfJdRJDJZcJiUxH101ZFgAOTwxToNFMCtCQExdQh6DpVZhzdR4lTLduq9NOhfG2IVHwzIhQRoWYqSMNZdQvkEMy1C+NqU7xjqStrgZW725ARAT3+bdA85nuoRT3rBm8z4F/VjPyaurwzVKcpm0ZDdTY6YWoO6nWDUsZWZFhGhPkgyW0vkKg2I0X5tyCLQsfUoKa3avMB0Ak8CwMKqH6mlJbljz2OpvIw1iWIZIxmKGCzZYxhjExPf69n7nM90goOZd8U3N34AoIWqUZDMp9O5zixG2NdeWAqVsTqxhzVlZw1JKzV+CMDSF3mikXO+npqn5yefUYJVcQsywjAt4inwmyGARotumtDXmGL1GaVjYYNHDL59YI8AGSwDExNdDJnjdQ+UV3fqENTcoSkhgJF+Uih7WelCjDEusGhaHYSlrWJpl0S3gGhTCNx73JTcmjoOeYRlj8wcjJJKoYRlr7iCADZak4aR5UxrdBAmsLgqAzl0yqOncqjhJLYZI0YgooQlESLZzYFgywGqN5pppWFLl/14Ny8y2UsIzVXQbt3+6yVhLyH2dYZfQuIOXYUmOhkUYLGPNHQQ00mBpzHGTjktPmYsJ2QwWHTK10U0BwAxLIETyOApd51YJFZpPQEUjooQoDp42CYuPmA4AOGT6xICtqwc1luIsdy+ysIr7I4lu22QNy3Ctih/STLeS6NYU1tz4SWTRwaXB57RDpzW4JWMXXtFtchgWkdU6m5BijFHQsCghZli0aEqn8MmFc6SSFo0EMywhMKu92ckSC8ghcAJqVNC2viHPNgKCfam3Gn351e/Fms09OOvImTj10Kk4orMV5xzVWfPjziizHUC8DMtH33MgMmkL5xxdOodcJo3bLz8Rtu1OIGk1021Nix/qawnRQyZh0fsfn3o3fvviFnz42K5GN2XMIqXcU7XwZiMxll1CjQK7hMYGkvOUJRiz2pvx8pY+5/1Q3tu5VQ/QVh+DxdGw1Hm1Pb+zDfM72wCU0thfUqcMprNI2HScg6juHBYfIWcxzdTYJZQ2iG5pdzAZNY3C5InZut378Qp6HzsmZBMVCtuUYYMlKpa8aybufv4dHD5zUqObwvABGywhMEvJUzKkYViEm+eAjha80zOIrT0hGJYETF71ABX8xukSCoO0I7oVLqF4958xuHuo6Hp/uc/7E+gtPWxGsia5nNCw1PlZG8v45nlH4fg5HQ5by0gm2AQPAVV4O6TRp4jp6YBydArNjKtCMCxJWpXVErLBUt8upzIstS1+6H5uShzHGB+gRui7ZrU1sCVeiMRxY61SM+Dqqk6ps8izrczWzmitbU4qRnVghiUEupTU9X4aFl3tIRVCCL+/5OSolUsoDNRMt3G7ZOQ8LPp9s8Ey/kBv6ZFdyTJYsulS1NxYdAn9+8XH47cvbsGHFrC+iuEFGywh0Nkmu4QGRwuwbVsrshQZZbf1DaFYtLUsipuav0YNThhqWasoCGrxw7hZclOUEAW7hMYf6C09MmEMy+Sy4DxJuWHCgvVVDD+wwRICKsMClCZAmsFVaBZmtjUjZZXC83YODGspxv3NJTSF1FmhCevqAWFQjNQorDljcAnJbdg/7vP+hO19w87rQxOmYVl48FQsu/AYnDh3cqObwmDEiv1kjV8dZrZ5jQ41DE4wLE3plGOkmIS3xQZFCTUK1DDb2T/ss2X8yKii27g1LFLiOINLaD+5z/sTaKg+XbgkAemUhYtPmoNDZ7Q2uikMRqxghiUEmpvSmDoxi10kF4uaPE6ENaeskki3u28I67f344kNu/DBY2ZhztQJ7rb7WZQQxc7+OjMsZYPinZ6Spqi2eVgMbWCGZdxh8eEz8K0Lj8Fxczoa3RQGY78BMywhMVfJ9KdmRrSdCsyuC+lvf/0Cvr38VXzyR09K24pkjvuLSwgAusqRQvVW/4uidKIUQVtLvDZ62iC6PXN+KR/McbM7cEjCXAaM6pFKWfjESXOcvEYMBqP2YIYlJJZdeAxWv7kH//LHddg1MOJ1CZX/W5blEem+vUeOGHKrNdesuYnDXf/7VPzplW5c9O4D63rcz542DxNzGewbySOTSuGC4w+Idf9yHhb38+9+7Dj85oV38MFjZmHqpBz+7RPHYc6UCZo9MBgMBiMM2GAJicNntuLwma246aH1wICXYRG6FAt6kS5FwYkS2n8sls725oao/6dNymHpGYfWbP+mKKH2CXIW3vOOi9dQYjAYjP0N7BKKCCGwM4luU5alrfBMsb9FCY1n0My9SUi7z2AwGOMVbLBERIvBYCkSDYuayl+F6xLiCW6sw1RLiMFgMBjxgg2WiGhuKl0yNUqIMiyzAhgWYdzsj1FC4w2mWkIMBoPBiBdssESEcAmp6fltuAzLjNacp/y8TYrL7I9RQuMVYTLdMhgMBqN6sMESEY6GJa+4hMqEi2VZyJDkcUApR8swKZi4v6XmH88IU0uIwWAwGNWDp8yIaAlgWMT8pdbP6RsadV4X9uPEceMNpmrNDAaDwYgXbLBEhNCwUMYEcDPdilW2qmPpH8o7r0WU0P4U1jxekUmzwcJgMBj1ABssETEhW0pd0z+cl78gqfkBYO5UOTMu3Z6jhMYP0iy6ZTAYjLqADZaIEEXPtvXKhQ3dsObSpPWX7z0Y3/jQkZjeWtpex7Cw6HbsI0wtIQaDwWBUDzZYIqKrnGNlq9FgKb2fMjGLy06dh9mTS9v3EYOlSEKgGWMbNEqI7yeDwWDUDmywRITIYru1V64PJIKW1UmrtblUfE/rEuKrP+aR4cRxDAaDURfwlBkRlGGhuVVc0a2MSc1lzQtHCY1LSMJpvp0MBoNRM7DBEhEz20ualOF8EXv2uUYIHF2KvH1rzivSLXKU0LgBi24ZDAajPohssDzyyCP40Ic+hK6uLliWhXvuuUf63rZtfO1rX8OsWbPQ0tKCJUuW4PXXXw/c70033YS5c+eiubkZCxcuxNNPPx21aXVBLpPGtElZALJbSA1rFphUNlj2UtEtRwmNG3AtIQaDwagPIhssAwMDOPbYY3HTTTdpv//Od76D733ve7jlllvw1FNPYeLEiTj77LMxNDSk3R4AfvnLX+Kaa67B17/+dTz33HM49thjcfbZZ2P79u1Rm1cXiOKGW3vcc1JFtwLCJbR3mKOExiOo0ckMC4PBYNQOkQ2Wc889FzfccAMuuOACz3e2bePGG2/EV7/6VZx33nlYsGABfvrTn2LLli0eJobiu9/9Lq644gpcfvnlOPLII3HLLbdgwoQJuPXWW6M2ry5whLd9rsFiGyJ/HNEtYVhM2zLGHqgLkG8ng8Fg1A6xalg2btyI7u5uLFmyxPmsvb0dCxcuxKpVq7S/GRkZwerVq6XfpFIpLFmyxPib4eFh9PX1SX/1RFfZYOkuu4Tueu5tvLK11AZ10tJpWAocJTRuQI1Oiy0WBoPBqBlinTK7u7sBADNnzpQ+nzlzpvOdip07d6JQKET6zbJly9De3u78zZ49O4bWh8dMx2AZxo69w7jmVy8436msyURhsBCGZaSc1r+JLZYxD9lgaWBDGAwGY5xjTM6Y1157LXp7e52/t956q67Hb28RuVVG0Ts4In2nzlm5jKg9VCqWWCja2NE/DABSRWfG2ASLbhkMBqM+iNVg6ezsBABs27ZN+nzbtm3OdyqmTZuGdDod6Te5XA5tbW3SXz1BI3+GRuUiiKpbIJuRiyXu2DuMQtFGOmU5afsZYxcpFt0yGAxGXRCrwTJv3jx0dnZixYoVzmd9fX146qmnsGjRIu1vstksTjjhBOk3xWIRK1asMP6m0WhtdnUpg6MF6Ts18EcYLCOFksEiQqFntuY4D8s4gJQ3jm8ng8Fg1AyZqD/o7+/H+vXrnfcbN27EmjVrMGXKFMyZMwdXX301brjhBhx22GGYN28e/uEf/gFdXV04//zznd+ceeaZuOCCC3DVVVcBAK655hpceumleM973oOTTjoJN954IwYGBnD55ZdXf4Y1wKScG/kzpBgsJoZF6FZEDaJZHS21biajDuDEcQwGg1EfRDZYnn32WZxxxhnO+2uuuQYAcOmll+L222/Hl7/8ZQwMDODKK69ET08PTjvtNCxfvhzNza5eY8OGDdi5c6fz/uMf/zh27NiBr33ta+ju7sZxxx2H5cuXe4S4SUErya0yOOLPsOQMBosIjWaMbXBkEIPBYNQHkQ2WxYsXSzV0VFiWheuuuw7XXXedcZtNmzZ5PrvqqqscxiXpcDUsoxjKqxoWeduc6hLqKbmEuthgGRdghoXBYDDqgzEZJdRoCIZlaLQohSsDGpdQOg2AMCx9gmFhl9B4AGtYGAwGoz5gg6UCiNwqALCzHKIsoM5ZHg0LMyzjClIelga2g8FgMMY72GCpAE3pFFqaSszJjr2ywaK6BYTBki/aKBRtdLOGZVyBXUIMBoNRH7DBUiFEUcOwBgtQYlm2l7ef2cYGy3jA1HLlboBdQgwGg1FLRBbdMkpozWWwY++wk7VWQJ20siT9fv9wHvlyHSHqVmKMXcxobcYPL3kPJmTTHDHEYDAYNQTPmhVCMCweDYsyZzWl3Q/6hkad18KlxBj7eP+RyQy/ZzAYjPEEdglViFaDS8hSpJeWZTmhzb2DJYMlZcmGDIPBYDAYDH+wwVIhRC6WfWriOM0VFTqWvrLB0tLE7gMGg8FgMKKADZYKIdLzq9BFiqgMSzO7gxgMBoPBiAQ2WCqEcAmp0PEmQnjbV04yxwYLg8FgMBjRwAZLhTAaLBqGRXUJNTfxZWcwGAwGIwp45qwQkwxhyTppSlZxCbVkmWFhMBgMBiMK2GCpEJMMDItOw+IYLPvKDEuGDRYGg8FgMKKADZYK0dasF936a1iYYWEwGAwGoxKwwVIhTKn19VFCJQNFuIRyzLAwGAwGgxEJbLBUiFmG4oV+GhZmWBgMBoPBqAxssFSImW3NWuMkjOi2OcOXncFgMBiMKOCZs0JkMylMnpD1fB5GdMsMC4PBYDAY0cAGSxWYPMErvNUxLDlOHMdgMBgMRlVgg6UKRGVYBNhgYTAYDAYjGthgqQIdGoPFT8MiwJluGQwGg8GIBp45q4DOJQTb+5HIwyLQwgwLg8FgMBiRwAZLFZg80cuwDOeLns9yTewSYjAYDAajGrDBUgUWzpvi+WyipsZQNi0bKMywMBgMBoMRDfqCOIxQ+Iv5M/DPH1mAd81qQ+/gKAZHCpiiYV1Yw8JgMBgMRnVgg6UKWJaFj75nduB2HCXEYDAYDEZ14KV+HaAaLOwSYjAYDAYjGthgqQNyaWZYGAwGg8GoBmyw1AEehoVT8zMYDAaDEQlssNQBHg1Lhg0WBoPBYDCigA2WOiCnGixZvuwMBoPBYEQBz5x1AEcJMRgMBoNRHdhgqQM4NT+DwWAwGNWBDZY6gCaTa23OoCnNl53BYDAYjCjgxHF1wGEzW/EvHz0WG3f249RDpzW6OQwGg8FgjDmwwVInfOSEAxvdBAaDwWAwxizYN8FgMBgMBiPxYIOFwWAwGAxG4sEGC4PBYDAYjMQjdoNl7ty5sCzL87d06VLt9rfffrtn2+bm5ribxWAwGAwGYwwjdtHtM888g0Kh4Lxfu3Yt3v/+9+OjH/2o8TdtbW1Yt26d896yrLibxWAwGAwGYwwjdoNl+vTp0vtvfetbOOSQQ/C+973P+BvLstDZ2Rl3UxgMBoPBYIwT1FTDMjIygp/97Gf47Gc/68ua9Pf346CDDsLs2bNx3nnn4eWXX/bd7/DwMPr6+qQ/BoPBYDAY4xc1NVjuuece9PT04LLLLjNuc8QRR+DWW2/Fb37zG/zsZz9DsVjEKaecgrffftv4m2XLlqG9vd35mz17dg1az2AwGAwGIymwbNu2a7Xzs88+G9lsFr/97W9D/2Z0dBTvete7cPHFF+P666/XbjM8PIzh4WHnfV9fH2bPno3e3l60tbVV3W4Gg8FgMBi1R19fH9rb20PN3zXLdPvmm2/igQcewF133RXpd01NTTj++OOxfv164za5XA65XK7aJjIYDAaDwRgjqJlL6LbbbsOMGTPwwQ9+MNLvCoUCXnrpJcyaNatGLWMwGAwGgzHWUBODpVgs4rbbbsOll16KTEYmcS655BJce+21zvvrrrsOf/rTn/DGG2/gueeew6c//Wm8+eab+Mu//MtaNI3BYDAYDMYYRE1cQg888AA2b96Mz372s57vNm/ejFTKtZP27NmDK664At3d3Zg8eTJOOOEEPPHEEzjyyCNr0TQGg8FgMBhjEDUV3dYLvb296OjowFtvvcWiWwaDwWAwxghE0ExPTw/a29t9t62Z6Lae2Lt3LwBweDODwWAwGGMQe/fuDTRYxgXDUiwWsWXLFrS2tsae1l9Yf+OVvRnP5zeezw3g8xvLGM/nBvD5jWXU+9xs28bevXvR1dUlyUV0GBcMSyqVwoEHHljTY7S1tY27jkkxns9vPJ8bwOc3ljGezw3g8xvLqOe5BTErAjXNdMtgMBgMBoMRB9hgYTAYDAaDkXiwwRKAXC6Hr3/96+M2s+54Pr/xfG4An99Yxng+N4DPbywjyec2LkS3DAaDwWAwxjeYYWEwGAwGg5F4sMHCYDAYDAYj8WCDhcFgMBgMRuLBBguDwWAwGIzEgw2WANx0002YO3cumpubsXDhQjz99NONblJkfOMb34BlWdLf/Pnzne+HhoawdOlSTJ06FZMmTcJFF12Ebdu2NbDF/njkkUfwoQ99CF1dXbAsC/fcc4/0vW3b+NrXvoZZs2ahpaUFS5Ysweuvvy5ts3v3bnzqU59CW1sbOjo68LnPfQ79/f11PAs9gs7tsssu89zLc845R9omqecGAMuWLcOJJ56I1tZWzJgxA+effz7WrVsnbROmP27evBkf/OAHMWHCBMyYMQNf+tKXkM/n63kqHoQ5t8WLF3vu3+c//3lpmySeGwDcfPPNWLBggZNQbNGiRfjDH/7gfD9W75tA0PmN5Xun4lvf+hYsy8LVV1/tfDYm7p/NMOLOO++0s9msfeutt9ovv/yyfcUVV9gdHR32tm3bGt20SPj6179uH3XUUfbWrVudvx07djjff/7zn7dnz55tr1ixwn722Wftk08+2T7llFMa2GJ/3Hffffb//b//177rrrtsAPbdd98tff+tb33Lbm9vt++55x77hRdesD/84Q/b8+bNswcHB51tzjnnHPvYY4+1n3zySfvRRx+1Dz30UPviiy+u85l4EXRul156qX3OOedI93L37t3SNkk9N9u27bPPPtu+7bbb7LVr19pr1qyxP/CBD9hz5syx+/v7nW2C+mM+n7ePPvpoe8mSJfbzzz9v33ffffa0adPsa6+9thGn5CDMub3vfe+zr7jiCun+9fb2Ot8n9dxs27bvvfde+/e//7392muv2evWrbP//u//3m5qarLXrl1r2/bYvW8CQec3lu8dxdNPP23PnTvXXrBggf3Xf/3Xzudj4f6xweKDk046yV66dKnzvlAo2F1dXfayZcsa2Kro+PrXv24fe+yx2u96enrspqYm+9e//rXz2Z///GcbgL1q1ao6tbByqJN6sVi0Ozs77X/+5392Puvp6bFzuZz9i1/8wrZt237llVdsAPYzzzzjbPOHP/zBtizLfuedd+rW9iCYDJbzzjvP+Juxcm4C27dvtwHYK1eutG07XH+877777FQqZXd3dzvb3HzzzXZbW5s9PDxc3xPwgXputl2a9OgkoWKsnJvA5MmT7R/96Efj6r5RiPOz7fFx7/bu3Wsfdthh9v333y+dz1i5f+wSMmBkZASrV6/GkiVLnM9SqRSWLFmCVatWNbBlleH1119HV1cXDj74YHzqU5/C5s2bAQCrV6/G6OiodJ7z58/HnDlzxuR5bty4Ed3d3dL5tLe3Y+HChc75rFq1Ch0dHXjPe97jbLNkyRKkUik89dRTdW9zVDz88MOYMWMGjjjiCHzhC1/Arl27nO/G2rn19vYCAKZMmQIgXH9ctWoVjjnmGMycOdPZ5uyzz0ZfXx9efvnlOrbeH+q5Cfz85z/HtGnTcPTRR+Paa6/Fvn37nO/GyrkVCgXceeedGBgYwKJFi8bVfQO85ycw1u/d0qVL8cEPflC6T8DYee7GRfHDWmDnzp0oFArSzQGAmTNn4tVXX21QqyrDwoULcfvtt+OII47A1q1b8c1vfhPvfe97sXbtWnR3dyObzaKjo0P6zcyZM9Hd3d2YBlcB0WbdfRPfdXd3Y8aMGdL3mUwGU6ZMSfw5n3POObjwwgsxb948bNiwAX//93+Pc889F6tWrUI6nR5T51YsFnH11Vfj1FNPxdFHHw0Aofpjd3e39v6K75IA3bkBwCc/+UkcdNBB6OrqwosvvoivfOUrWLduHe666y4AyT+3l156CYsWLcLQ0BAmTZqEu+++G0ceeSTWrFkzLu6b6fyAsX/v7rzzTjz33HN45plnPN+NleeODZb9AOeee67zesGCBVi4cCEOOugg/OpXv0JLS0sDW8aIik984hPO62OOOQYLFizAIYccgocffhhnnnlmA1sWHUuXLsXatWvx2GOPNbopscN0bldeeaXz+phjjsGsWbNw5plnYsOGDTjkkEPq3czIOOKII7BmzRr09vbiv//7v3HppZdi5cqVjW5WbDCd35FHHjmm791bb72Fv/7rv8b999+P5ubmRjenYrBLyIBp06YhnU57VNLbtm1DZ2dng1oVDzo6OnD44Ydj/fr16OzsxMjICHp6eqRtxup5ijb73bfOzk5s375d+j6fz2P37t1j7pwPPvhgTJs2DevXrwcwds7tqquuwu9+9zs89NBDOPDAA53Pw/THzs5O7f0V3zUapnPTYeHChQAg3b8kn1s2m8Whhx6KE044AcuWLcOxxx6Lf/u3fxsX9w0wn58OY+nerV69Gtu3b8e73/1uZDIZZDIZrFy5Et/73veQyWQwc+bMMXH/2GAxIJvN4oQTTsCKFSucz4rFIlasWCH5NMci+vv7sWHDBsyaNQsnnHACmpqapPNct24dNm/ePCbPc968eejs7JTOp6+vD0899ZRzPosWLUJPTw9Wr17tbPPggw+iWCw6g9BYwdtvv41du3Zh1qxZAJJ/brZt46qrrsLdd9+NBx98EPPmzZO+D9MfFy1ahJdeekkyzO6//360tbU59H0jEHRuOqxZswYApPuXxHMzoVgsYnh4eEzfNz+I89NhLN27M888Ey+99BLWrFnj/L3nPe/Bpz71Kef1mLh/dZH2jlHceeeddi6Xs2+//Xb7lVdesa+88kq7o6NDUkmPBfzt3/6t/fDDD9sbN260H3/8cXvJkiX2tGnT7O3bt9u2XQpnmzNnjv3ggw/azz77rL1o0SJ70aJFDW61GXv37rWff/55+/nnn7cB2N/97nft559/3n7zzTdt2y6FNXd0dNi/+c1v7BdffNE+77zztGHNxx9/vP3UU0/Zjz32mH3YYYclIvTX79z27t1rf/GLX7RXrVplb9y40X7ggQfsd7/73fZhhx1mDw0NOftI6rnZtm1/4QtfsNvb2+2HH35YCg/dt2+fs01QfxThlWeddZa9Zs0ae/ny5fb06dMbHj4adG7r16+3r7vuOvvZZ5+1N27caP/mN7+xDz74YPv000939pHUc7Nt2/67v/s7e+XKlfbGjRvtF1980f67v/s727Is+09/+pNt22P3vgn4nd9Yv3c6qFFPY+H+scESgH//93+358yZY2ezWfukk06yn3zyyUY3KTI+/vGP27NmzbKz2ax9wAEH2B//+Mft9evXO98PDg7a//t//2978uTJ9oQJE+wLLrjA3rp1awNb7I+HHnrIBuD5u/TSS23bLoU2/8M//IM9c+ZMO5fL2Weeeaa9bt06aR+7du2yL774YnvSpEl2W1ubffnll9t79+5twNnI8Du3ffv22WeddZY9ffp0u6mpyT7ooIPsK664wmNAJ/XcbNvWnhsA+7bbbnO2CdMfN23aZJ977rl2S0uLPW3aNPtv//Zv7dHR0TqfjYygc9u8ebN9+umn21OmTLFzuZx96KGH2l/60pekXB62ncxzs23b/uxnP2sfdNBBdjabtadPn26feeaZjrFi22P3vgn4nd9Yv3c6qAbLWLh/lm3bdn24HAaDwWAwGIzKwBoWBoPBYDAYiQcbLAwGg8FgMBIPNlgYDAaDwWAkHmywMBgMBoPBSDzYYGEwGAwGg5F4sMHCYDAYDAYj8WCDhcFgMBgMRuLBBguDwWAwGIzEgw0WBoPBYDAYiQcbLAwGg8FgMBIPNlgYDAaDwWAkHmywMBgMBoPBSDz+fwcD/ZXyM7w5AAAAAElFTkSuQmCC",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cars.Acceleration.plot()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "pu8hiRIXL-4d"
},
"source": [
"Because the index is not really meaningful, drawing line between subsequent values is misleading! This is definitely not the plot we want! \n",
"\n",
"It's actually not trivial to use pandas to create an 1-D scatter plot. Instead, we can use `matploblib`'s `scatter` function. We can first create an array with zeros that we can use as the vertical coordinates of the points that we will plot. `np.zeros_like` returns an array with zeros that matches the shape of the input array. "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"id": "LtVSWMRQL-4e",
"outputId": "6e085ebb-f8a5-4fbb-d440-ae6c96adbd44"
},
"outputs": [
{
"data": {
"text/plain": [
"array([0, 0, 0])"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.zeros_like([1,2,3])"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "TQK5Ox8GL-4g"
},
"source": [
"**Q: now can you create an 1D scatter plot wit `matplotlib`'s scatter function?** Make the figure wide (e.g. set `figsize=(10,2)`) and then remove the y tics. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"id": "RTAe1rCZL-4h",
"outputId": "75162af4-c3db-41f3-899e-eaf9d4fa91bd"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "XAG9yjjSL-4j"
},
"source": [
"As you can see, there are lots of occlusions. So this plot cannot show the distribution properly and we would like to fix it. How about adding some jitters? You can use `numpy`'s `random.rand()` function to generate random numbers, instead of using an array with zeros. \n",
"\n",
"**Q: create a jittered 1D scatter plot.**"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"id": "qzKs2J7dL-4k",
"outputId": "68245e86-bcb8-4d2f-947e-10b19166bfd3"
},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# jittered_y = ...\n",
"\n",
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "I30M1oReL-4m"
},
"source": [
"We can further improve this by adding transparency to the symbols. The transparency option for `scatter` function is called `alpha`. Set it to be 0.2.\n",
"\n",
"**Q: create a jittered 1D scatter plot with transparency (alpha=0.2)**"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"id": "97OidszmL-4n",
"outputId": "fd4f965c-bf95-4535-de83-718ee658ae15"
},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "Fyc15W1lL-4o"
},
"source": [
"Another strategy is using empty symbols. The option is `facecolors`. You can also change the stroke color (`edgecolors`). \n",
"\n",
"**Q: create a jittered 1D scatter plot with empty symbols.**"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"id": "gzEeZRsBL-4p",
"outputId": "9af8f759-6517-4e56-b7f3-f542498a20fb"
},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "I_Tsr7snL-4q"
},
"source": [
"## What happens if you have lots and lots of points?\n",
"\n",
"Whatever strategy that you use, it's almost useless if you have too many data points. Let's play with different number of data points and see how it looks. \n",
"\n",
"It not only becomes completely useless, it also take a while to draw the plot itself. "
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"id": "PC1f8sXCL-4q",
"outputId": "7cce93ab-2a79-4300-be8e-5ad48babb20a"
},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# TODO: play with N and see what happens. \n",
"N = 100000\n",
"x = np.random.rand(N)\n",
"jittered_y = np.random.rand(N)\n",
"\n",
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "TnQjanpUL-4r"
},
"source": [
"## Histogram and boxplot\n",
"\n",
"When you have lots of data points, you can't no longer use the scatter plots. Even when you don't have millions of data points, you often want to get a quick summary of the distribution rather than seeing the whole dataset. For 1-D datasets, two major approaches are histogram and boxplot. Histogram is about aggregating and counting the data while boxplot is about summarizing the data. Let's first draw some histograms. "
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "5IDYu2haL-4s"
},
"source": [
"### Histogram\n",
"\n",
"It's very easy to draw a histogram with pandas. "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"id": "v_ybN2u-L-4t",
"outputId": "19d0077a-cb23-446b-85e8-dab90044bc34"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cars.Acceleration.hist()"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "FE0uzD6wL-4u"
},
"source": [
"You can adjust the bin size, which is the main parameter of the histogram. "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"id": "82El3ByNL-4v",
"outputId": "a9db9941-9404-4ecf-f237-8fa28a157794"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bins = [7.5, 8.5, 10, 15, 30]\n",
"cars.Acceleration.hist(bins=bins)"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "dFT12811L-4x"
},
"source": [
"Do you see anything funky going on with this histogram? What's wrong? Can you fix it? \n",
"\n",
"**Q: Explain what's wrong with this histogram and fix it.** \n",
"\n",
"(hints: do you remember what we discussed regarding histogram? Also [pandas documentation](https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.hist.html) does not show the option that you should use. You should take a look at the `matplotlib`'s documentation. "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"id": "I70dRbUlL-4y",
"outputId": "609d2fc9-28a3-4fdb-ad50-22055c1f7374"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "B-hqyb4KL-4z"
},
"source": [
"### Boxplot\n",
"\n",
"Boxplot can be created with pandas very easily. Check out the `plot` documentation: https://pandas.pydata.org/pandas-docs/stable/reference/api/pandas.DataFrame.plot.html \n",
"\n",
"**Q: create a box plot of `Acceleration`**"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"id": "Rec5SXp8L-4z",
"outputId": "021f26d2-6584-4542-f5a5-de48578642cb"
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# YOUR SOLUTION HERE"
]
},
{
"cell_type": "markdown",
"metadata": {
"id": "1ZrtDTmcL-40"
},
"source": [
"## 1D scatter plot with Seaborn and Altair\n",
"\n",
"As you may have noticed, it is not very easy to use `matplotlib`. The organization of plot functions and parameters are not very systematic. Whenever you draw something, you should search how to do it, what are the parameters you can tweak, etc. You need to manually tweak a lot of things when you work with `matplotlib`. \n",
"\n",
"There are more systematic approaches towards data visualization, such as the \"[Grammar of Graphics](https://www.amazon.com/Grammar-Graphics-Statistics-Computing/dp/0387245448)\". This idea of *grammar* led to the famous `ggplot2` (http://ggplot2.tidyverse.org) package in R as well as the [Vega & Vega-lite](https://vega.github.io) for the web. The grammar-based approach lets you work with *tidy data* in a natural way, and also lets you approach the data visualization systematically. In other words, they are very cool. 😎\n",
"\n",
"I'd like to introduce two nice Python libraries. One is called `seaborn` (https://seaborn.pydata.org), which is focused on creating complex statistical data visualizations, and the other is called `altair` (https://altair-viz.github.io/) and it is a Python library that lets you *define* a visualization and translates it into vega-lite json. \n",
"\n",
"Seaborn would be useful when you are doing exploratory data analysis; altair may be useful if you are thinking about creating and putting an interactive visualization on the web. \n",
"\n",
"If you don't have them yet, check the [installation page of altair](https://altair-viz.github.io/getting_started/installation.html). In `conda`, \n",
"\n",
" $ conda install -c conda-forge altair vega_datasets jupyterlab \n",
"\n",
"Let's play with it. "
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"executionInfo": {
"elapsed": 3659,
"status": "ok",
"timestamp": 1664924274823,
"user": {
"displayName": "Vincent Wong",
"userId": "06927694896148305320"
},
"user_tz": 240
},
"id": "5CXJ0sdVL-42"
},
"outputs": [],
"source": [
"import seaborn as sns\n",
"import altair as alt\n",
"\n",
"# Uncomment the following line if you are using Jupyter notebook\n",
"# alt.renderers.enable('notebook')"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 206
},
"executionInfo": {
"elapsed": 200,
"status": "ok",
"timestamp": 1664924323402,
"user": {
"displayName": "Vincent Wong",
"userId": "06927694896148305320"
},
"user_tz": 240
},
"id": "SKJbEtT9L-43",
"outputId": "bac41628-b0c2-4cf4-9a58-80d5e34da5fe"
},
"outputs": [
{
"data": {
"text/html": [
"