{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Rolling et Expanding\n",
"\n",
"Une technique très courante avec les séries temporelles consiste à créer des données à partir d'une moyenne mobile. Regardons comment faire cela facilement avec pandas !"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# La meilleure façon de lire les données avec l'index des séries temporelles !\n",
"df = pd.read_csv('time_data/walmart_stock.csv',index_col='Date',parse_dates=True)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" Open High Low Close Volume Adj Close\n",
"Date \n",
"2012-01-03 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n",
"2012-01-04 60.209999 60.349998 59.470001 59.709999 9593300 52.078475\n",
"2012-01-05 59.349998 59.619999 58.369999 59.419998 12768200 51.825539\n",
"2012-01-06 59.419998 59.450001 58.869999 59.000000 8069400 51.459220\n",
"2012-01-09 59.029999 59.549999 58.919998 59.180000 6679300 51.616215"
],
"text/html": "
\n\n
\n \n \n | \n Open | \n High | \n Low | \n Close | \n Volume | \n Adj Close | \n
\n \n Date | \n | \n | \n | \n | \n | \n | \n
\n \n \n \n 2012-01-03 | \n 59.970001 | \n 61.060001 | \n 59.869999 | \n 60.330002 | \n 12668800 | \n 52.619235 | \n
\n \n 2012-01-04 | \n 60.209999 | \n 60.349998 | \n 59.470001 | \n 59.709999 | \n 9593300 | \n 52.078475 | \n
\n \n 2012-01-05 | \n 59.349998 | \n 59.619999 | \n 58.369999 | \n 59.419998 | \n 12768200 | \n 51.825539 | \n
\n \n 2012-01-06 | \n 59.419998 | \n 59.450001 | \n 58.869999 | \n 59.000000 | \n 8069400 | \n 51.459220 | \n
\n \n 2012-01-09 | \n 59.029999 | \n 59.549999 | \n 58.919998 | \n 59.180000 | \n 6679300 | \n 51.616215 | \n
\n \n
\n
"
},
"metadata": {},
"execution_count": 3
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
""
]
},
"metadata": {},
"execution_count": 4
},
{
"output_type": "display_data",
"data": {
"text/plain": "",
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Zbl8IObb+R6loQpEoAGBhRS6sJgPOnl2c7qXp4kttS3Ns+tuV+XYcbnL1uQcVAKJRiR8/sw9/eO1w2tdIRDTemEZ7AURERDR+dPvDyLEPfnlxzydW4vk9DSjOtmL/Dy+GwSBGYHUKq0m5755tNcFpja31sqUV+Of7NXh8Wy0+dca0Xo+rbvfi3neOAwDOmVOChZNyR2bBRETjAANPIiIiSgkpZdIZz4WTcvXATYxczAlAKfW1mgwozbUlHF8zvRD5DjMONroSjp/36zdgNxtx6wfm6sdq2r0MPImIhoCBJxEREaWELxRBOCqRYx888BxtNrMRZTmJgacQArNKs7G7rgtSSgg1Ij7W4gEA1LTH9n8G1VJhIiJKDvd4EhERUUp0+5SRKMlkPEdbnsOsd9aNd+micuyt78Zf1ZJaKaX+MW1GKQAEwww8iYiGghlPIiIiGrYnt9fhm4/tAgDkjoGM519vXIk8R+/uu59YMwXvHm3Dz54/gIsWlCUE0TUdPtjMBvhDUWY8iYiGiBlPIiIiGrb9Dd2IRiW+ev5srJtdNNrLGdTMkmwUZVl7HRdC4EvrZyISldhZ24mauCxnbYcX04uyACgZz7pOH17Y0zBiayYiGssYeBIREdGwBcJROK0m/L/zZyF7DJTaDmRmSRaMBoEDDS68ur9ZP769uhMzSmKB523/2YNb/r4Nu2u7RmupRERjBgNPIiIiGrZAOKKPKRnrrCYjphQ6cKTZjad21iV8bEaxE4AyhzQYUfZ/vneifcTXSEQ01nCPJxEREQ1bIBSF1Tw+Ak8AmJzvwCv7mxCOSmRbTXAFlMZJUwudEELJeIbUBkP+UGQ0l0pENCaMn1cIIiIiGjWBcBRWk3G0l5EykwvsCEclDAK49ZK5CceNQuC9E+3o9ocAMPAkIkoGA08iIiIatvFUagsAlfkOAIDJYMDHTp+CixeUAQAq8pSAdNOxduyt7wbAwJOIKBkstSUiIqJhC4SjsIyjwDPfoTRICkeVcto7P7oUh5pcKM/tPfvTx8CTiGhQ4+cVgoiIiEaNUmo7fi4rtM68UaV/EGxmIxZX5iWc87dPngaHxQh/iDM9iYgGM35eIYiIiGjUjLc9nlnWwYvCzppVhLJcGzOeRERJYOBJRDSOSSnR5Q3hSLNrtJdC41wgNL72eGbbBg88TUYDbCYjAgw8iYgGxT2eRETj1HvH23HL37ei3RMEAJz4+aWjvCIaz4LhKKzm8ZPx1EptB2O3GOELReALRrC9ugNrZxaleWVERGPT+Lk1SURECd450qoHnQDgVucQEqXD+Nvjmdy9eZvZAH8oiu8+sRvX37sZ1W3eNK+MiGhsGj+vEERElGBffTdMBqG/39ztH8XV0Hg3UQNPu9kIXzCC3XVdAIBbH9+Fk22edC6NiGhMGj+vEERElGB/QzcuWliGNdMLAQBN3YFRXhGNZ4FwZFyNU7GrZcPr55b0+timb6/Hpm+vBwBYzUZ4g2FEpNL+duPRNvzva0dGbqFERGPE+HmFICIiXZc3hLpOHxZU5OBHVywAADS7mPGk9BlvXW2FENh463n448eW9/pYWa4NZbk2AMDCilycaPPiWEssy/nc7gZsPNqKE63MfBIRaRh4EhGNQ+8caQUALKjIRb7DAgDo9IZGc0k0jkkpleZC4yjjCQAVeXbYBmmYdNO66b2yot5gBNffsxnn/vqNNK6OiGhsSeoVQgjxVSHEXiHEHiHEw0IImxCiQAjxshDisPr//HQvloiIkvP4tlpU5ttxxoxCvTtnt4+BJ6VHIBwFAFjN4yvwTIbRIPD765bhtKnKZVCOzaSX6arVt0REhCQCTyHEJABfBrBSSrkQgBHARwHcCuBVKeUsAK+q7xMRUQY42uLGkso8mIwGWEwG2M1GdPtD+NEz+/Dc7obRXh6NM3rgOY5KbYfCaTXh37esxV8+vgLPfvks3LRu+mgviYgo4yR7a9IEwC6EMAFwAKgHcDmAB9SPPwDgipSvjoiIhiwUiaKmw4epRQ79WI7dhP0NLvz1neN4dhcDT0qtoB54TryMZ7yLFpRhcoEDXzl/Firz7ZhdmjXaSyIiyhiDvkJIKesA/ApANYAGAF1SypcAlEopG9RzGgD0bvtGREQjrrbDh0hUYlpR7KI3x2bW9302cawKpVggHAHAwFMjhMDp0wrhCURGeylERBkjmVLbfCjZzWkAKgA4hRA3JPsJhBA3CSG2CCG2tLS0nPpKiYgoKcdb3QCAaQkZT7P+dtME7G4biUrc/tRe1LR7R3sp45JWajuexqkMV5bVCJc/cV91NCrRxb3WRDRBJfMKcT6A41LKFillCMDjANYCaBJClAOA+v/mvh4spbxbSrlSSrmyuLg4VesmIqJ+HG9Vgqv4jKfRIAAANrMBzd0ByAnW9eRoixv3bzyBs37xOo5zxEXKBUITe49nX7JsJniCkYTftW88ugtL7nhJL00mIppIkgk8qwGsFkI4hBACwHoA+wE8BeBG9ZwbAfwnPUskIqKhON7qRo7NhHxHLMv58dVTsHZGIT52+hQEwlF0+8KjuMKR5wvGSh5//dLBUVzJ+KSX2k7Arrb9cVpNiEQl/GpQ7gmE8di2WgDKjRAioonGNNgJUsrNQohHAWwDEAawHcDdALIAPCKE+AyU4PTqdC6UiIiSc6LVi2lFTij3ChUfWlKBDy2pwNM76wEo5ba5cYHpeOfyxwLt7dWdo7eQcepkm5Jl5x7PmGyrconlCoRgtxjx6NZa/WP7G7oxrzyn38dKKRN+f4mIxoOkXiGklLdJKedKKRdKKT8upQxIKduklOullLPU/7ene7FERNS/1w82485XDuFoixvTipx9nlOaYwMw8RoMaXvtrl5RibpOHxq6fKO8ovHlK//aAYCltvGKsqwAgBZXAADw6NZazC3LBgDUd/b/89fQ5cOyH72MLSd4WUVE4wtvTRJRWlz+xw34wX/2jPYyJoydNZ341N/ex52vHEZDlx9T+wk8S7KVi+Gm7sBILm/UaRnP8+YqDdi3nOjQP/b6wWYcbHSNyrrGG2Y8Y0pzlZs8zervWrPLjyWVeXBYjOj09m4w1OEJ4q/vHMcbB1vQ6Q2xHJeIxh2+QhBRWuys6cT/vXsST26vw/+8cAAA8JuXD2HRbS/i9QN99iKjUySlxB1P7004NljG8+v/3pn2dWWSbjXjuWpaARwWo55NCoaj+NTf3sdFd7414RoupUokGvu+2bjHU9ezusDtDyPLZkKe3YxOtbNtTbtX33/83Sd340fP7MMfXjsCABzFQkTjDl8hiCitfvvKIfzr/Rrc89Yx/P7Vw3AFwth6smPwB1LSntnVgG3Vnfjy+ln6sf4CT7vFiCWT8wAAnd7goM8tpRwXHTi1jGeew4Klk/Pwvprx3FYd+1mcaA2XUiV+PIjFyFJbTbFaatvQ5UckKuEJRpBtMyHXYUGnN4Q3D7XgrF+8jj+9oQSa2vexTi3D9QT480hE4wsDTyJKGU8gjMNNroTM0ck2Lzq9QTy46SRWTy9AWY4NDV1+1LR78YWHtuGv7xwfxRWPfSt+9DK+9PB25DnM+Pw5M/Tj/ZXaAsCXz5sJADg2yFiR+zccx+qfvYoVP34Z3uDYvghu8wSQbTXBaBBYOSUfBxq74QtG8MS2Ov2cYGTsB9ijIf4GRpRZY53FZMCMYie2nuyAW73xkW0zI89uRpcviFf3NwEAajuUQNNkSLwk8wSZ8SSi8YWBJxGlzLV3v4sLfvsWfKHEC6aoVJppzCrJRnmeDU3dftzx9D48u6sBP3pmX8Koi5HS7PLjtv/s0cdA6Me7/QiNoQCkzaNc9OfZzbCZlWyTw2JEjq3/jrUzipX5nvsbunt9LBiO4nirB3c8vRd3PLMPUirZwrG8J1RKiTcPteC0aQUAgGnFTkQlcLDJhafULr8AEI6OnX/3TKKVja6aWoAphY5RXk1muWB+GTYda8P+RuV3LdtqQp7DjE5vSO+uHAhHEI5EYTbGutiaDGLM3+whIuqJgScRpcyeOuXiqs0dy4BoF1PhqESWzYSyHBveOdKKV9S7/QDQnkTJZ6r9/LkDeODdk3htf2y/aXO3H6t/9iquv2fTiK/nVMSXwDosyuiGV752Njbeet6Aj5tS6MCUQgee293Q62NX/+VdnPurN/C3DSdw7crJuOOyBQCA94+P3Q6bBxpdqGn34cL5pQCA8lw7AODPbxyFLxTBJ9ZMAQCEwszWnYpWtWvrdy6dxxEgPVy4oBThqMRH71b+pmTblMCzscuv3/h5bncjLvjtWwhGYj9/pTk2uFlqS0TjDANPIkqJ25+KNbdpdsWyY8ur8vW3s20mPdsWr9098oFnQM1qauWVT26vw1V3bURUQt//l+niL0ydViXbObMkC3kOy4CPE0LgiqWTsPFoGxq7YmNVpJTYX9+N8+eV4MkvnIGff3gxJhcoGaxvPrZrzHbZfGlvE4QA1s9TAs8KNfB8YW8jphU5sWKK8jMaYsbzlOyp64JBALNKev9uT3RLK/MS3s+2mZFrt8AVCCMc15TpeKsHbx1q0d93Wo3wsrkQEY0zDDyJ6JRJKXHfO8dR0+7F/RtP6Mfj3144KVd/O9tqwqJK5f3pcXsQv/PE7rSvtSeDmpnxqmW+X/nXDn2vFYAxUW6rzaYEgFBkaNm6K5ZNgpTAUztjexzbPUEEI1GcMbMIS9UGRAXOWBD7k2f3D2/Bo+SFvY1YUZWPYnWUTGmuFVpibmqhQ99bFx7i95AUW6s7MK88B06rabSXknEMBoGrlk3S39cynppVUwt6PeasWUVwWk3wsNSWiMYZBp5EdMpOtHnxw2f24bxfv5Fw/Om4fXMLKnL0t7NtZpw9uxifOXMa/nD9cv347rouHG4a2TmKBjXwaHUF8OWHt+vHP7SkAgB67VPNJF2+EM771Rt450irfsw/xPVOK3JifnkO3jgYy7I0qmMfytQxEEBi4PnWoZZR2Y87mGhU4rSfvIIHN53s9bE9dV3Y39CNDy4u149ZTUYUqR1Hy/Psejn4WLjZkE6eQBg17d6kz5dS4u63jmLDkTY9a0y9/fqaJfrbhVkW5NmVwNNiNOgVBZX5dv2ce29cCafFxK62RDTuMPAkolMWVi/UtWzbJ9dOTfj4eXNLcGncBX+W1QSb2Yjvf3A+ZpUmluX9Y3N1ehfbg3ZR19jt1xvM3HL2DKyermQg/BkYYGk2H2vDsVYPfvTMPv1Y4BRGnswoydJHNwDQm51og+8BwGY24qZ10/GFc2cgHJXYVt2RcQGaKxBGiyuA7z+5p9fHNh1rAwBcurgi4XihGlCX59hgNiovhZn2dY20bzy6Ux/v8cKexkHPP9Dowk+fU2b0MvDsX/y+16Isq57xrMizIUstkdcqDADlxojNbIQvNLF/Holo/GHgSUSnLL7df0m2FRctKNPf/+21S3DfJ0+D1RSb65dti5XiaRf75bk2XLKoDI9trR2xLo6eQBi7arsAJGZnHRYj7GpnWG8GB57avtT4YHOoGU9AufBt6PQjGpU40uzGbU/txbKqPCysyE047zuXzMPNZ8+AQQA3P7gVs777PLq8oX6edeQNlBna3+BCUZZVL7PVtLqVfchTi5wwxTXAmsi0+bq/eOEgfvrc4GXVe+tjXZHj93JT/2xmo16SXOC0IEv9m5jvsODSxeX4xkVz1PMMCGRw1QUR0alg4ElEpyz+gn/p5Dy9wY1BABfOjwWhZ8wsBADMLctJePzW752P179+Dj52+hS4AmFsPNI2AqsGntheh2ZXALd/aD5K1bJSk0HgxjVT4bAoX0Mml9pqXUTjRyaeynor8+wIRqJodQfw+oFmRKISf/rYclhMvV8acmxmzK/I0RsaaWW5mWCgwPNgUzfmlWf3Or5uVjEAYP28EmY8VbNKlO/T1SsqUd3uTciG9+VIc6zZVHypKA1MCzxPn16oN1urbvfij9cvxxfOVWbsWk3GU6piICLKZOwEQAQlW3SyzYs5Zb0vUKl/Ln/sgn/J5Dx9pMfs0uyERiN/un4FolIi15E4W7JQ3We3vCofJoPA9poOnK+OvEil6jYvuv0hTMqz4/0T7fjn+9WYV56DG9dOxQ2rp+CdI61YM6NQL3EDMjvj2RTXNfisWUV4+3ArvnbB7CE/T0WeEixcdOdbmFGchZklWfqokb6smloYNzInAGD0f186vUG44gLPcCQKkxpIRqISh5vc+PjqKb0e99OrFuHWS+bCYTHF7fGc2BnPTl8Q584pxqfPnIZ/b63Fu0fb8JEVlf2er1UovP3NczlGZRDF2VZ0qfNOl1fl4++fOR2rpxfoM1DXzChMON9mNpxSFQMRUSZj4EkE4GfP7ccD757ExlvP0y/GaXD9ZTyX9Si76xlw9mS3GDGrNBv71NK9Z3c1wBsM4+qVk1Oyzg/+79vo9oexuDJXL7G947IFEELAZBQ4Z06Jfq4WPP/r/eqM3bfWGhd4fuHcmXjwM6ef0vNoP+sd3hC2nOzQy/z6s3p6Ae7bcBwA0OIODHjuSNhT14UP/eEdfPas6foxbyiCHDXwPN7qRiAc7fOGks0cu8kQ62o7eIappt2rN4QZb9rdQcwpzcGc0mzk2s3YVt0xYODpC0ZQnmsbt9+PVHr7m+cmvH/mrCIAyp7PXbdfiCxL4uWY1WRk4ElE4w5LbYkAHGv1AFAuZCl58XMkF1XmosBpweLKXFy6qHyAR/VtaqED1WpHzf997TDuevNoStbY3O1Ht5qZ1YJOALhi6aQ+z9f2eD6ypRZSZmYGTMucrJtdjNOn9R7HkKxJceWRBgFctbzv74kmPkBvcY1+4LmrtgtSAvdvOKEf8wTCkFJCSon7N56A0SCwenph/08C6Hs8B8t4Hmpy4axfvI7/7Kgb8LyxSEqJNk8QhVkWGAwCOXbToB2MvaEI7BbjgOeQIv5GR085NjMMBtHjfANLbYlo3GHgSQTo+2wONo7sSI+xTgs8T5uajxybGVaTEU998Uz9bv5QVBU4UNPhgz8UwZFmNxq7/CkJ/E6qwezkgsRMdn9Z2PgL6cH2uI2UUCSK7z25G/e9cxzd/hBe2d+E06cV4IFPnTasEsccW+x7cNas4gHLbAHAYjJg83fWA8iMwPN4q7LHMBiXqfQEwlh8x0u45Pfv4O+bqvGJNVMGzchZktzjqf19+MubxzL2psSpanEHEAhHUaF2NDYKgcggzZZ8wYi+J5pSy2Y2IhyVSWXhiYjGCgaeRIC+x2s3M55D4gmEYTIIPHLzmmE/V2WBA8FwFO8cbkU4KuENRtDtG36X23o1ePzSebP0Y/915rR+z9d+FgDg588fwOzvPj/q8/SOt3rw903V+OEz+/Clh7YjKpWuwKnYV/ezqxbh7NnFg5bZakpzbJiUZx+1Utv4m0PHW72YUuhAftxNhBOtXrj8Yexv6MaMYie+dfHcQZ9T2xPa7Arg75tOIthPpknLyO9r6MamY+2ntP6mbj9uf2pvWjs4N3X78eNn9g2pWdKxFqXqY7p6E85oSC7wtPeTxaPhsaoNvvzMehLROMLAkwixsRTx4wFocO5AGFk2U0oCoCo1K/V83PzAhu7hZxyf290AADhnTrF+7DuXzBtwHd/+gBKsPLOrAcFIFIfjuneOhvgmTm8eagGgNIJJhetWVeGBT6/Cwkm5g5+sKsq2jkrG81/vV+OiO9/CO4dbAQAtLj+mFDpx89kz9HNeO9isv33ntcv6LW+MZ1LLHH/0zD5878k9+ve4p5p2L/IcZuQ5zHhkS82Q1y+lxDcf3YX7N57AtpOdQ358sh7aXI173zmOAw19V3BEojIhqJRS4qN3bwIATCtyAkgu8FRKbdkqIh20n1uOVCGi8YSBJxFiMxDrOn1s6DAE7kAYzhRdeGqB5yv7m/RjDZ3DG9kRikTx4l7l+UqybZhZkoX/t35Wr/1U8YQQuPnsGTh/Xmw/o1bSOVriM67a90nb5zkairNGJ/B8bKuyt1KbwdnqDqI4y4qb103Xs+4Pv1eNqgIH3v7muVhUmVww3XN8TLun76+tut2L6UVOrJleiC0nh5bxdPlDmPO9F/Sg9oa/boY3GMaBxm7srU9tpYX2OZpdvX9/pJRY+eOXsf7Xb+jHttd0AgCWV+XpY1GMBgMi/ZQT3/fOcdzz1jH4gmE4mPFMC5uZGU8iGn8YeBIBCU0caju8o7iSscXtDyPblprAc1KeHUIoAZV28dvQNbzA0xtQbiJ89Xxl1MgrXzsbX01y7MgZM2P7VE+0ju7PhLaXdkaxE/d8YiUA4LQpp95UaLiKRynj2aYGhC5/CC/ubURdpw9F2RYIIVCSrYzmKc+x4W+fOm1InVZNPW5EdHh7B/U7azqx8WgbqgocWF6Vj5p235C+B0/vVLLnCypis2wf2lyNi+98G5f+/p2U3fBq9wSxs7YTAPCZB7YgEI49b027F6f95FV0eEM40Rb7mX5yex2sJgMe+PQqvXrBaEC/Gc/Ht9fi968eRpcvxD2eaWI1Kd9X3gglovGEgSdNaLtru/DmoRYEQrHAU9vHRYPzBMMJ8zqHw2IyoEJtbnPunBIYBNDQNbxSW29ICdhKcqxDfuyZcYHnaF/8aYHn/Z9ahTll2Xjla2fjp1ctGrX1zC7NQpsniJ1qpmykaHFQmyeImx/cCgDwq51XpxQ6cNuH5uOxz6/Vm4UlS9vjCSh76zo8vcuYr7tHKUUNhKNYVpUHANgxhK//UJMLWVYTnv3yWfqxHz+7X3/7iw9tH9Ka+/P24RbEJypr4v6e/fH1I3q2WBOKRPHMrgZcML8U2XHNpvpqLhQMR/H5f2zFnrpuuAJhNHUHYGPgmRZaxjP+tYmIaKxj4EkT2of+8A5uvO89+MMRPcumNdmgwbn9YWSlKPAEYp1nF1XmojTHhvphltp61IznqWRlZpZk6T8TwWF0lvzh0/v63TOYLLe6x1PLLs8syUpq72K6fGRFJXJsJvzx9SMj+nm18uJ2T1BvanPmLGXvrhACnzpj2qCdeftiiQs88x0WtPcIPDs8QXjVAPcTa6Zi4aRcmAxiSIF3uyeIoixLwrEFFTl4+avrAAC765J/roG8fbgVeXHNlk6qmc3qNi/+vbU24Vx/KILFt7+Edk8QH1xckfCx+D2eG4+2YsORVuxv6MZzuxsTzmOpbXroGc8wM55ENH4w8CSCcle5IteOkmwr9rHB0KD21HVBSqk0F0ph4KntX1xQkYPCLAs6vEoA0Ozy47q7N+Ff71cjOkjDk3jaHELHKexDFULgic+fAZvZMKTuoD3dt+E4brzvPXz2/7bgmj+/O+TH//DpfXh6Vz0ApCy7PFzZNjM+ecY0vLSvCYeaRmYEUTgS1X8edtR0QgjgE2um4IL5pcN+blNcJ+N8Z+znTvPiXiXYeuZLZ2LNjELYzEZMyrfro3qS0eYJoMCpBJ5bv3c+dt1+IZ798lmYVZqNa1dOxhB+rAe0r74bSyrz8JIa0J5o86Ku04d1v3wdkahM6EK79WQHfGo2f+GknITniQ88r79nMz5272ZsONra6/PNKBladpmSk6XeZHL7R7ejNhFRKjHwJIJyV9lqNmBBRQ72NTDwHMh7x9vxwf99B/dvPJHywHPJ5DwUZ1sxqyQbTotJLzHdU9eFd4+14VuP7cbdbx9L+vk86siKU92HVpxtRZ7dglD41KKC+LEcL+9rwnsnhtaQ5miLG/dtOI7t1Z2wmgwwGzPnT/an1k6Fw2LEn988OiKfr8Mb0ktId9V2IRSJ4sL5ZSl5bm2P55zSbJRkW9HYnZhpf3Z3A6YUOhL2Z07OdySUsXoC4QG7wLa5gyjMUkq+C7OsCTNUK/LsaHEFEvZjnopoVOJYqxszirMwqyQL2TYTTrZ58LaacT9nTjGKs2Nl5+8ebYutoUem2CBEr+ZCd758WH976eQ8rJ5egMuWJGZKKTW0mxQPbjo5pJttRESZLHOuYohGkT8UhdVkxIKKXBxudo/6nr5MpjVU2XCkDZ5AJKVZuOtXVWHjrefBYjIgy2rSu7nGjxM51Jh8hi2W8Tz1ckCLyXDKpbba5483lIvI9b9+E4Cy71C7EM0U+U4Lrlg2Cc/vbuzz60y1l/YpWcffX7cM/33BbLz+9XNw5qyiQR6VHCEE/n3LGvzzptWYUujAyTYvpBp0tbkD2Hi0DZcuKk8YGzS5wK4HnpGoxILbXsR3n9jd73zOtj5KbeOfCxh+E6vqdi/8oShmlWZBCIGphU6caPOiUy1R/t21yxI6+P5BLZVeXpXXq9OzyRjLeJaqe6SNBqGPGrph9RT886Y1GZOFH2+KnMr3/OV9TXhWHQlFRDTWMfAkAtDpDcKmZjwjUTli5YNjUTCiBBnbqzvgDoQxpTD57qGDEULoWT1nXOCp7dUsyrIMaYxILON56hfHZqM45cBTa24Ur2dzl2T8/b9Ox19vPO2U1pBOZ88uhi8USfvvizcYxp2vHMbKKfn40OJyfGn9LFTmp+7nDgBOm1qAfKcFVQUOuPxhdKqdbTcebUMkKnHRgsTs6uQCB9o8QXgCYRxtUcbt/PP9Gsz/wYt4Ri2N1gTDUbS5AyjOtvX5uZdX5QNQSl+Hotnlx/64Cg2tFHbVNKXj8ZRCB442u9HqCsBqMiDHbtL3s15/ehUAINduxmOfW9vruQ1xzYUC4ShybCb87VOn4eazZ+CVr52NDy+fNKS10tDk2GN/s3790sFhlfsTEWUKBp5EULIRVpMR89VSur3c59mvDo9yQd6mNmA5PwV77PritJrgDkQQjUq0qcHapDz7kAJPbwoynmajAaFTnKXn7SMTmMyImJ01nWhWyz1XTsnHaVML9J/NTJJrV8pFPf1k+VLl8W11aHEF8K0PzE3IOqbD7NJsAMAWNQjUmo3NKctOOG+yGvjWdHixpy5xDuc/NlUnvF/d7kVUAtOK+g6WpxQ6UJRlxbO76zH11mex+Vhbn+fF213bhTU/ew0f+N3beuZ1V00XirIsmF7kBKB0h67r9OHed46jwKmMnSnLVYLflVPy8d531+PpL57Z5/fUZBCIqllfbyCC60+fgtXTCwEoza3S/e8w0cV/f0+0efGv92tGcTVERKnBwJMISkZicWUuJuc7kG01pXyg+3gS33hl4aQcTMobehfRZGRZjfAEwvjNy4fw65cPAQDKcm0Jgedn7n8fD79X3d9TwBsY3h5PIPWltq5BmoV0eIK46q6NWPXTVwGgV6YtkzjVTLI2LzVVpJT40xtHcKJVCfrig/B0WzOjEEVZFvxnRx0eeb8Gv33lECpybb26CGuNsGrafWjqTsxiN8XtEY1GJTYcUTKRUwqdfX5OIQROm5qPDUeUgPOhAX6mNZ9/aKuekTzrF6/jm4/uREO3HxV5dj1o+fCKSty0bjqA2A2P+eXKDYxObwgl2TZU9VOxYDQIhCMSwXAUwUgUWVZ2rx1pFpMBc8uysWJKPu4Zwt52IqJMxcCTCMoL/OVLK2AwCMwuy8aRZvdoLyljxQeeqWru0hen1QRfKIJXDzTrx/IdsVJbKSVePdCMbz++u9/nqG73wWI06B0iT4XFeOpdbbWM54ziWMChNUzqz76G7oQmNfkZtrcznkMNRlKd8WzzBPGLFw7i0/e/D0Ap9bSaDCOSZTMbDVg7owjP7GrANx/bBQCY3sdc0KlqELm/oRudviDMcZ1xazt9CIaj6PKGcP5v3sRtT+1FvsOMWQN0gF05tUB/e7CGXZGoRF2HD186byby1dEpj2ypxaajbSjLSSzn/eZFcxKe85ZzZuCTa6fiIysrB/wcBqFkPL0pKFenU7P79gvx9JfOxGlTC1Df6dP3HRMRjVUMPIkAXDi/FHkO5QK/NMeqN9Ch3rQZhzazAZcuLk/b5+nr4ttmNqLZFcCWE+29ylgPNblw5Z82oNsfC0xf3NuIM2cV6TPxToVSantqF3zaRfuKuEydZ5DAU9uzt262Mp8yk/d26RnPJJoL7ajpxH8/shPn/eqNhIxgX7QREi71e6UFniPlQ0sqUJZjw1lq86K+mgLlOsxYOjkPr+5vQrcvhDyHBTesVvZNBsNR7KnvwlO76nGs1YPvXToPG249D9lxnWx7Om1q7GdksBslXb4QolLpfFqkdsrNspoQjERRnpsYeJqMBrzytbPx3JfP0s+7/bIFCV11+2IyCoSjUr9Rksru1ZQcq8kIs9GAfIcZoYiEZwSaeBERpdOgr+RCiDlCiB1x/3ULIb4ihLhdCFEXd/ySkVgwUTp8Ys1U/e2iLCuOtnjwzK56SCkRCEcGHJMw0TR1B7B2RiH23nExZvSRCUoV7UK3us2jH5ur7rN7cW+jHgBr7nzlELZXd+J1NUO6u64LdZ0+XLxweFlZcwpKbbW9ccDg2cGGLj8cFiO+dsFsALFGMZnIrpYwa4Hn24db+vxdcflD+PBdG/H0TiUQ21Xbu5R9e3UHHt1aCwB6VtuoZjgD4Qis5pEr9bxgfik2fWc9Pr56CgBgXnnf+2svmF+KnbVdePi9GuTazfjxFYvw2OfWAAA+//dt+P6TewAAV6+YPGjGcH7c58ga5FztZ7/AacEfP7Yc159ehX/etBp5DnOfa51ZktVvSW1/DEIgGpV6Yy8HS21HjVb10NHjbx4R0VgzaOAppTwopVwqpVwKYAUAL4An1A//VvuYlPK5NK6TKOU2qQ08blo3PeHivljNIHzxoe2Y/4MXMf8HL+IzD7w/KmvMRI1dfpTm2GA0pLfs8YyZRbAYDQl3+T+6qgrZNqXpUHzJLwAUquMHtGz183saYTQIXDBveM2PLEaRMI9zKLSAbMWUfPzrptUABi+1bXMHUJhlwdLJeTjx80vTGtwPl7Z31hsIY8ORVnz8r+/hT+qIjngtrgAiUYlvqGWf9Z2+Xudc+aeN+Pq/d0JKGQs8DVrgObIZT80F80vxt0+ehv86a3q/H9do5fn5auWENgu0ONuKXMfA2UVAyUyerv4dGuw2V3zgObs0Gz+9chEWTsrFe985Hx9dVTXo50qGyaDM8dRulHBsyujRfqZ6/s0jIhprhvpKvh7AUSnlyXQshmikvLCnAR+9exMAwN4jk1IUN2D9zFlFOHt2Md442KI3OpnIolGJZpcSeKbb5AIHPnPWNADAJ9ZMwbbvXwAAKM+1oc0dQH1nYrmmFgQ9v6cRzS4/3jzYglXqiIzhMA9jj6d2oZhjM2PVtAIYxOCltm2eIAqc1gHPyRRmowEWk3JzQBsTc6CPOava92FmaRasJgPq+gg8NZ3ekB54GtRXqNEKPIUQOHduSb83Wfras1kY9293zcpKPPRfpyf9+T5/7kwAGPRGhxZ4agGJxpLC75FBbS7kYantqNP28d73zvFRXgkR0fAM9VXqowAejnv/i0KIXUKI+4QQ6W83SONWJCrx0ObqQfd+DcWLexvxnSd2Y199d0KzoJp2L77+7136+75Q4r6ZmXEXk/d8YqW+b2si321+81AL3jjYjDtfOYRQROoD79PtC+fOxNoZhbhwfhkK1ACywGnBoSYXbvn71oRztb2de+q6cMO9m3G0xZ2SESQW06kFnlJK/GNzNQqdFuSroyyU2aQD79NqcwdRmMENhXpyWozwBsP6/NW+ypLb3MrvTpHTivJc24AjZb76yI7epbahKCzD2KebLkIIPP55ZQbmdWqmMdtm0gPVm9bNwKzS7H4f39PZs4thNxsRCA/8M6LNDU1XR2lA+d5HZVyp7TA6Q9PwaCNwntxRzwZDRDSmJR14CiEsAC4D8G/10F0AZgBYCqABwK/7edxNQogtQogtLS0tw1stjTstrgAaunz43pO78Z0nduPfW4Y3q+yet47p+6pe3NuIhzZX45Lfv43zf/Omfs5bh1vgDoRxszpmQLso1qycko8PLi7Hj69YCACwqRe8/lDmNnlJtxvvew+f/Nv7+P1rR3DV8km4atnAHTFTJctqwkOfXY0z1SYvAFCYZcWJNi8KnRYUOi3IU7MBXb4QZhQ78dmzpuNQkxuBcDQlZapKxnPoF3sv7GnE8VYP4huxZllNg5batnvGVuDpsJjQ7gnCr97A6Stbp920yXeaYbeY9L2vkajEC3saEI3bF/rGwRbsUxssGeL3eI5CxjMZy6vyceLnl+JnVy0CoGQK8x0WTC6wJ3QzTpbVbEBggIxnpzeIv75zHHPLstPa8dhkFIhEmfHMBJX5DnzqjKkAgE3H2kd3MUREwzCUV/IPANgmpWwCACllk5QyIqWMArgHwKq+HiSlvFtKuVJKubK4uHj4K6Zx5XN/34o1P3sND7+nBJx1nUPPeP7x9SP4x2al+vvNQy34++aTaOzyo9Xdd4aytsMHs1HonUbbPIkdbIUQ+MP1y3GD2lhEa2riHyQLMRFcs7ISv7lmqd5UZjTML89BRa4N/7p5Na49bTLc/rC+LzDXbk7oQHoqF/49mY0DBwL9ee+EcoH4+48u04/l2s39NgjxhyIIhqNodvn1DMdYcMbMQry0rwk17Ur5bF/ZunaPksEsdFphNRn0cx7ZUoNb/r4Nf1T3hWr/dg9tVuZYBiNRbDzaii0nOjI28OzLRQtKceOaqac0/sVqMiDQz02utw+34M1DLWj3BPGRFem9+WMQSuDJcSqZ4fPnzMSkPDs+du8mzP7e89is9iggIhpLhvJKfh3iymyFEPFzFK4EsCdVi6KJQUqJLSc79PeVErz+937159Gttbh/wwkAStZLSuCpnXVo7WckSm2HDxV5diytygMAXLF00oDPbzMrvyb9XQxOJJnQ6OYL587E2986DzNLsuG0mhCOSgTCUbS5g8hzWFCYFdtjN2OAuYnJshjFKZXabqvuxKppBVg7M5atnVLowIm23nuFm7v9WHz7S/j1ywcRlcD0FATMI+Wjq6oQDEfx/J4GAH1nPJu6/ciymmC3GGExGfRztMznA++eAAD88frlyFFHiVTk2lDX6cP192zuVQ6f6X5y5aJ+GxINxmoy9lmu7AmEceN97+GOp/cBAC5akL4ZuoDS2CkiJdxqqS0znqOrONuKZ798JqJS+R379hP9zy8mGu+iUcm+G2NUUoGnEMIB4AIAj8cd/oUQYrcQYheAcwF8NQ3ro3FMy5BophU50TjA3q/+tLkDONLihssf0vf5Pbm9Xm92otFKxmo7vKjMt6Mk24YTP78UVywbLPBUsnuD7bsar8JxF8EDzSEcSdoeOu1i2OUP40SbB9OKnAllqqkoWbWoGbqh7K3yhyLYW9eF5VWJW9+nFjlR0+7rNXKkvsuPYCSKv7x5DAAwrWj0A/xkLanMQ77DrDcVcvl7lxLXdvhQma/sR1QynsrPlPZdaHUHYTYKLJyUi9svWwAAuPsTK/V9owAGbEg0nljiMsLx2j1BRGWssVBhH7NFU8loEIiozYUMInYDjkZPnsOCP9+wHADArZ40kd399jGc86s3cKipdzM7ymxJvZJIKb1SykIpZVfcsY9LKRdJKRdLKS+TUjakb5k0Hm042prw/pRCBw40urDxSGs/j+gtFImi2x+GlMDu2i50+UKwm43Y19CNZlcgYX/dx/+6GYAS8FbmJT/TTgs8/WMs65IqWqMXIPMuPrURD4eaXPCHophVkoUC9YJcCJxSqWNP5bl2+EPRfku3+7K7rgvhqMRyNauuWTwpD8FIFB++a2NCI62enW61eaVjgdEgcPbs2DaKnvNVgdjNHkAJPLWMZ5e69/PXVy/BY59bC6fVhKuWV+LoTy/Bwkm5CeWknd5Qr+cdj+JLbX/xwgEsueMlPLjpJK75y7v6OQ6LMe2lr0YRG6fitJhS8rtEw3fxwnJ85fxZONHmgcs/MX4niHp677iyleVkm3eUV0JDlVlXkTShvHUosdlUkVoief29m5N+jvhOs9trOtHtC2FBXCfTW86eob+9rboT/pAy9mEoXVm1vWUTtblQpxp4ZttMuGRR+SBnjywt47lfbUZTVejAjOIsfOz0KrzytbNT8jlmq11JDyd5ZzUYjuLqPytBwvIpiRnPSxaV4ddXL8GOmk786/1YIy2t4dBtH5qPl7+6Tr/ZMVacM6dEf7vDG8R/PbAFL+1tBKCU1Nd2+PQOrFZTrGtrhzeEPIcZH15RicWVefpzaBntL5w7E4sm5QIYfP7peBGfEf7TG0fR5Qvh+0/uSegEnO5sJwAYjQLeYAQv7W3iDM8Ms6wqH1ICu2q7Bj+ZaBwyqa8R2jYYfygyYavSxhoGnjQqwpEo3jnSijPj9r/Fz6RLtqyxwxO74/vLF5X9cfHjC756/mxcu3IyACWw1QKUyvyhZzwn6h+12g6lxPEvH1+RcQGRFng2q/t5s61mmI0G/OTKRSnbjzqvPBsGoewlTsZGNZNvMRr0mykaIQQ+vKISJdlW1LTH7tRqGc9z5pQMafxGptAynpML7IhK4JX9TXhwk9Lwq67TB3cgrH9dFpNB38PY6Qv1mkUZb1KeXR9XMlHEB+baftf55bGbaRcvKEvIMKeL1mm4qdufkrFElDpL1Zs02+J6JJyKLl8IzS7/Kc8pJkqVaFSitiO57GVthxfV6utnt3pj/OYHt+LWx7jveSxg4EmjYmdtJ1z+MC5cUKofy3fG9g/Wdvjw42f2DVq/f1D9ePw8u7KcWEdQi8mA//nIYnxy7VT4QxH84bUjsJoMvfbeDcQ2gTKeJ1o9eGDjCb2TJQDsqO6EENAzT5nEaVUC4Wa1bNVhTX1gXJhlxRfPm4XHt9fhqZ31g57/zuFWWE0GbP/BBf2eM7nAgZqO3oGnMw3rHwn5TgsO/OhifOOiufoxrbR2f4PyOzpPDZ7iS0k7vUHk2gfeN2w2GjCtyIlbPzB3wPPGC5vZAK/adGlumfI9+8vHV+gf/+lVi/DjKxalfR0edQ3fu3Qe7vvkaWn/fJS8XIcZc0qz8f4wA88ld7yEVT95FZ++//0UrYzo1Pzfuydw5v+8ju3VHXhud8OAW5v+3z936D0F2tStHdXtXmwd5u8DjQwGnjQqtFlk582Nleg54/Ysff3fO3HvO8fx2CBZpmd31aMi14abz451kPzUmVMBJO6Tm1bkhDsQxqsHmnHD6imoKkw+42kyGmAyiHG7x/N4qwc7azoBAH9+8yhue2ovntoRC7B21HRgVklWxjQWitcz45muzptfPm8m5pZl48sPb8flf3hnwL1VB5tcmFWaNWB54uR8e0JzrfHQOdRmNmL1tAJctXwSnBajfqNGqzKYU9ZHxlMttR3M618/J6FsfjwrcFr1kTuBcATrZhdjcoED//PhRSjKsg4aqKeKV5vfmYG/9wSsnJqPbSc7ejUqOxVvH06+rwJRqjyw8QTO+9Ub2FPXhed2K1szrrprIz7/j21Y9ZNX4AmEe113NXX7EwLMu944ilse3AqXP4yaDq/eKZ0yFwNPGhUdniAcFiNK47KT0bjy2s3qxnGTceCGFp3eECYXOHDxQmW0wMdOr0KOzYyNt56HRz8XK9G7YfUU/PmGFfjY6VX45NqpQ16vzWwctxnPc3/1Bi7/4wZIKfWOpNpdRCklttd0Ytnk5DPEIylLLUXUGvU40jRf1GQ0YNW0AgDAztou3PzgVjyxve+bIoeb3JhdMnC57OQCBxq6fHqJm9Y51J5hpcxDVZJjw2+uWYpJ+Xb9AuBAYzemFDr0oDoh4+kLDlhqOxEVZVnQ5glCSglPMIIsNQt+7WlV2PK98/X9r+mmZTyzxmgWfrxbOTUf7kAYBxuH1tVTSon/fmQnXj/YnHB8X313KpdHNCApJX72/H4ca/Xgmr+8q8+91i4Du/1hLLjtRcz7wQvYVt2B53c3YOqtz+Lv6hYOTVmuDW8dboEnoDSZPNriHukvhYaIgSeNCk8wDKfVlDAu4axZxVg3uxjnzontX/IOcvfKHQgjy2pCSbYNr/332fj+B+cDACry7AnZI6NB4OKFZfjJlYswuSD5bKfGZu57xMFYF7+Xtr7Lrzc10fZNnGjzotMbwrIe3VkzhZZVbO5WMp7p7PQ5M24m6K7aLvzqxUNx7yuNqyJRiSaXH5WD/IxNzncgKoHfvKw8hzug/D6Ml86hdrMRvpAygmZnTVfCHsWeGc+RyuCNFYVZFgTCUXiCEXgC4bR3r+2PVm4/Wp+fBrZyinIjbMvJ9iE9rtkVwGPbavGpvyWW19634XjK1kY0mG5fGP5QFDevm643cPzk2qlYOClxP7mUwCv7mvDQe9UAgP997Yj+sUWTcnHponJ4gxF91vPhZo5XyXQMPGlUuAORXmWFTqsJ//fpVfj2JfP0Y4OVTbgDYT3rNb04K23Nb+wWI7r9YTyw8QRu+8+etHyO0dDiis06ffdomz4HVRuhsr1aKWlZNoQ9sSMpy2JCodMCVyAMm9mQ1mxQfLOij6yo1IPz6jYvLv/jBjy+rQ4ufwhSAvmDlI+W5ymZ/rveOApAmX2ZPYbLbHuymo3whyLY19CNuk5fQjMcq8mISFTCH4rA5Q8nVWo7kRQ6lYZUv3npEBq6/KNWfq3d9Bur+47Hu8p8O0pzrEPe13a0OTEj9JtrluATa6bgqR31aHb1PUe72x9Kuqs3UTK0ucxLJ+dhhXoTZUaxE8986Sz9nB9fsRAA0Njl17vYAtBfM8pybb3+Ph1qYsYz0zHwpFHhCYT7vaCZXZqNb1w0B8DgGU+PmilKtzmlOdhb14XbntqLB949mXTX3Uznifv+Prq1Rg+mtMBzb3037GZjQrYvkxgMApctrQCQuEc4HeK/Bzk2E9zBMKJRibcOt0BKoLHbjw511uRgwdTSyXkJ77d5Aijs0QF3LLOrgeeLexphEMD582NNxCzq3e0HNp4AAJba9lCWq9yU0DJQo/W3Rmt4xYxnZhJCYEqhE4ea3PpMw2QcbfXoby+oyMGVyybhk2unIhiJ4pmdfY9jv/G+93DBb98aN697NPrq1cCzIs+u36jVtis/8fm1eOizp+OG1VOwcko+Grr8MBpi4cplS5TX/E+fMa3X36fDDDwzHgNPGhXuQUrIvnDuTMwrzxk08BypTNGyqjwci3vBbnUHBzh77AiqpbVrZxRi07F2vVOcFnjWdnhRmW8fsX1lp+LDyysBpKejbbyS7FhgmG0zQ0rAFQjj7cPKPNoubxCd6lzZPPvAwVS2zYxvq11aXf4Q2tzBEZnNOFK0UtsX9zZh5dSCXmNlAOBnzx8AAJba9rBmeiHu+cRK3K12sjWM0u/etadVAQAm5Sc/85hGVqHTgv0N3bjmL+/q1SqDaYqbB3vdqioIITC9OAuT8ux450hrn030tld3AlDKI4mGY8uJdjy46STqu2KB503rpqMk26rfoFxWlY+1M5RRe0VZVrx7rA1762Mza8+aVYxjP70Ea2YUJiQwLCYDjrDUNuMx8KRR4VH3Zg7EYTHCF+r/hS4UiSIQjo5IxrNnhupkm6fvE8cYbd/qp8+Yps87BZS9dwBQ3+lHRV5mX3guqMjB7NIsZFvTG8AIIfCba5bg37esQY5d+Znr9Aax8UgbAKDDG0KnGrDnJlE+qmW2Grr8aHUH+gzOxiqb2YBDTW4cbHLhogVlCR/TuqV+55K5+J8PL8IFcdlQUgLNC+aX4sIFZXj4s6vxlfNnj8o6PnPmNBz/2SXIYVfbjJXvjN2sauiMBZQn2zx481BLn49pdaszj20mXK5WiwDA8in5eO1AMy66861+P1+LO9Dvx4iS8beNJ/D9J/fgPzvqYTEZUOi0YFZpNt777vkJY/E0Vy2fBEB5ndQUZln0G3LxCYxFk3Jxst2bcBPmSLMLj2ypQYcniDtfOZSSLtA0PKyhobR742Az/vuRnbhoYRn++4LZKMyywhuM6AHjY59b02fWw2Exwh3oP/DUSsFGYg/U4srEGZZN3ePjBVjLeFrNBnzj4jn415YaAMCJNg8C4QhOtHqwqDLz5nfGE0LgzmuXDXiTIlWuUrOr2t7Ytw+3wqX+HD61sx7r1L2MeUlk8bTxIturO9DmDo6rwNOudhfOtpnwkRWVCR/7zFnTMaMkC5ctqRg3zZTSZc2MwlH9/Pz3yWwFcWXq9Z0+zCnLxpFmN87/zZsAgGe+dCYW9pi/3OoOYGqhAw/ftDphRNbcsmw8vRM42eZFTwahlEG2ugMZu+2CxgZt5vbWkx2YWugYtKLjwgVluOOyBbjtqb36seK418r4LTYfWFiGrSc78Or+Jly5THnd+fumatyvbusAlGzpiimZ2bNiomDGk9LuqR31cAXCeGhzNf6jzodUutEqF6crphRgZh/jJ+xm44DNhfap8wFHIvDsOcMy2bKmTKd1sbUYDSjKsuKdb52LX1+9BN5gBD98eh9cgTBOV8eIZLL5FTl6g4KRkK02tHp2VwPiXze//u+dyLaZEsYE9WdOaTbKc214emcDgpEoCp3jp9RWa/I1ozir102lXLsZly+dxKCGaJjiM561nT7Ud/pww72bYVG7xfeV9WxxBzG5wIHy3MTsUnF2/ze+rCbl97mVGU8apqbuAMrVap9kq6muPW1ywo3Z+G0p8VtszppVDKNB4EhcAy1Pj+RFlPuURx0znpRWUkq8faQV588rwXO7G9VZSxLdvlBSpbZ97fF8Ynst/vrOceyp68akPLueZUq3bKtJz25peyDHuljGU/njXZnvgGWWctHyj83VcFqM+kZ+iilQL/jePdaGpZPzUJRlwSv7m2ExGfDwZ1cnVf4thMA5c0rwsNomXivfHQ+0eaQF4yiYJso0VXFjm3ZUd2JnTSc6fUE89aUz8Jn7t/Q547PNHcD0Imev41csnYQfP7MP3f5wr6Z9douyZ3u8VPrQ6JBSoqnbjxvXTkUkKjG7NLnsuc1sxKO3rEEwEkVzdyChvDY+45ljNyHbZkrYi+wNRTC9yImZJVl4aV9TQhVdKBLFV/61Ax9ZXomaDi8+vLxyRLZuTXT8DlNaHWxyocUVwDmzS/DyviZ4QxF0ekMIhKODZoXynRa0uALwhyIJY1J+8/Ih1LT7sG52Me68dumIXdw+9//Owr6GbnzhH9vGTeCp7fG0xM1TLcmxYWqhAyfavJhenMXMVB/mleVgcWUudtV24fRpBfjqBbPR5gki32EeUhfQ8+bGAs+eWfWxrFy9kx1S53USUeqtn1uCN75+Du585RBe2d8Em9mAC+aXYW5ZDuaV5+D9E+0IhqN6J2lAaciXY+v9N8piMuCOyxfgq//aiYYuP2aWZOFwkwszS7L0LNF46W1Ao8MVCCMQjqI4y4rPrps+pMdOVW+WzC5NrI7LivtZzrKakGMzwxVXkeYPRmC3GPH1i+bgpX1NCRnQf75fg2d3NeCtQy1w+cPYerIDv/voslP50mgIWGpLafXO4VYAwJmzivTS2fhuZgNZP7cUvlAEr+5vRrtH6RYaikRR3+nH586ZgQc+ddqIZlQmFzhw0YIy5NrN+tiRsS4Qt8cz3nJ1D8TUPu6Mk9IAZqY617M81wab2YhJefYhj544Y2ZsD192HxeDY9XUQiUT0+1nF0yidDEYBKYWOfGBReXo8oXQ1B3LZl6zshINXX5sOtaW8BhfMAJ7P3+ntAxqdbsHW06044LfvoXr7tmkN5s70ebFO4dbccbPX0NjV98zP4n60+VNvvlesoriym6dFhPsZiOe3FGPmnZlr7IvFIHDYtQzmVrg6QmE8btXDgNQbsYASp+GA43dKVsb9Y2BJ6XV24dbMb3YiYo8u1KuE4zo3fe0Ov/+rJlRiEl5dnzhoW1Y/qOX0djlx9EWNyJRiWmFzlHLxOXYzXhxbxMu/+OGAfeg9vTO4VZ8+/FdaVzZ0MXv8Yy3sEJpSHH+vJIRX9NYccs5MzCzJAuXLCo/5eeID1THU8ZT605YkMILDCLq27pZse0mU9SbPlpTuNoOn/6xUCSKYCQKp6Xv0VPTi5SbaYea3PjIn98FAGw6pswInVuWjZNtHry8rxF1nT784fXDqf9CaFx642AzQpGoHuD1lXE/Vdr+Y0C5EXOwSSkv/8mz+wEos+BtZqO+tUtbw5uHWtRu8krges6cYmRZTbjkd28zs59mDDwpbR7cdBJvHmrBGeo8JofFBF8ogga1q9lgGU+jQeDGtVP091vdAfzomX0AgBmj2Fkvx25GqzuAnTWdCbOleopEJX78zD59o/sNf92Mh9+rQTSD2nkH+8l4fnzNFDzw6VXc3zmA2aXZeOVrZ6MkiUZCyRiJJlkjZXpxFn75kcX45dVLRnspROOe3WLEh5dXIstq0kd/lWTbYDQI1HfGAk+tZ4K9n8Az32lBnsOMNw42Jxwvy7Hh/HmlqO3wwWhQXite2NOEMEvpaRBvHmrBJ//2Pv78xlG9KeNIjGhyqD/j/lAEdrNRv9niCSi/A21qFd2yKqW665KF5agqcCAqgU/f/37a1zeRMfCktNGCxA8uVjJCNrPSLKih0weTQSQ1PuLalVX62+5AGHvru3HmzCIsr8pLy5qTccu66fjGRXMAAHvq+g88DzW5cO87x3H+b97EH16L3R0OZtCLtV5qa0y8EDEbDTh7djH3d46gVN4FzgRXr5w8rkbEEGWyX35kMXb84AJMV7cAGA0CZTk2VLd70eULYc3PXsXzuxsAYMAGKtOLnNhW3ZlwrCTHiqlFTkSiUr/Z2uoO4O0jren5YmjcONGqZA8bu/36FqWcJMaNDVeeOmpIK7U1GQ2wmQ3wBJWMp7aW7106D3+4fhk+vKJSr2Bz+cM43OTCNX9+Vx//MtKiUQk5TjvwMvCktOjwBBEMR/HNi+fg9OnKPjaHxQhfKIyGLj9Kc5S7sYPJdZjxlfNnAQCe2FaHTm8IH1xcPqoB0QcWlePz58zAtCIn/r21tt/z4kucfvXSIf1tLdjLBP1lPGnkjadSWyIaWQaDgKnHlomVU/Px9K56fOpv76Ghy4+/vHUMQCwb1JdpRVn664J2g7Uk26rv295V24WqAgfyHGY8vq0uHV8KjSNao59sm1kvc011P4O/fHwFfn7VIgDA769TmgMFI0oQ6VWbCwFAllVZw+Zjbfj7ppOwm42YUujEBxdXwGgQuGLZJABAaY4Nf3z9CN470Y573j6W0rUm68o/bcBFd741Kp873Xi1SWnRos77im/37lD3eNZ3+gbd3xnviqXKH4N/bakBEGt8M5qEEPjAwjIc6KNdveZ4qzvh/Vs/MBdArJNsJuirqy2NrEduXoPrVlXBxuCfiFLo51ctxjmzi/UM5nE1+2Q39x94Ti+ONZS7fGkFrltVhQvml+qN5nyhCIqyLDhrVjG2V3ekb/E0Lmgj6KwmA/773zsBpL7U9qIFZfjoKqU67rIlFagqcOhBrj8Ym4pQlGVBqzuAa+/ehIYuf0JHXAD44rkzsWJKPto9Qby6Xyk3f+Ng71m4Q9XiCmDx7S9id23/FXLxolGJnbVdONTkhpQS33p0F94+PPx1ZApe6VBaaIOmC52xUjub2YjDTW5sPdmB2WXZ/T20l55lGVo30dFmNRkRiUpE+tmzeawlcYN6gVr6EcyAjGebO4CfPLsP3mAEZqOAIYnsM6XHqmkF+NlVi1jWTEQpZbcY8dcbT+t1fLBSW02B04KfXbUI155WhUKnRd+Hnms3I8tqyqjqHRo9wXC03+saLQB8aV+TfqxnwJdq2TaT/nm1UlsAKM62JpTOtrgS59IaDAIzip2o6/TBHQzjymWTcLjZPezxea8fbEa3P4y/bTie1PnVakdeQJkZ/68tNfj4X98b1hoyCQNPSos2t7JxuzCu1bXDYoQrEMayqjw9+5eMnmUZmRIkabPR+vuDGx947rnjokHPT5W99V3YdKwNbx5qwXV3b+ozw/qjZ/bhnreP49ldDbCZ+r/7TUREY5fBIPD3z5yOL503E3PVG779NRcCgGlxGc/4zKgQQu+Ym++wwGoyIBDKnOodGj3n/foNrP/NG31+TNtLqY0p+d1Hl8Kc5gqrHJsy8u7NQy0IRyUm5Sk/t6U5NjS7AnrZeF/ml+cAAC6aX4aVU5XquuH+nGuPtw3wexfPHTdrtKk70OfxsWx8dbOgjNGmZzxjgec5c4ohAPz0qkVDmncY/0fqnDnFA5w5ssxGJQAOhqN9vpAfa/Wg0GnBZ86ahiyrKRZ4prm50KW/fweAcre63RPE+8c7cOasooRztLuBdZ0+rJpakNb1EBHR6DlzVhHOnFWELKsJP3v+wICljlMLlcCzONvaqwqjIs+OvfXdmF2WjQ5vkBlPgpRS72dx2R/ewb9uWqNfD9W0e/HMrgb1PGB2aRYuV7dOpVNxthVvHW7BN/69E1MLHbhqubZ304pmVwCV+cpEhb98fEWvx358zVQ4LCacP78Ur+xXsrTDuWaTUsKnBp49S9yf3lmPLz28HVu/dz4K4xrxxScLtPJ4ADjZ5sECddTdWMbAk9KirtMHo0HoncUA4MpllbhyWeUpPd8PPjgfUSlx3aqqwU8eIdYBAslufwit7gC+dfFcfO6cGQBi+yhHqtS2XW0X/tqB5l6BZySuW9qKqaO/Z5aIiNLrxrVTMbnAgRlxWc2ebGYj/u/TqzBPzfzEm1eeg5f3NWFGcRZ213UhEI5CSsltAhNYfLnqrtou7KnvQqc3BG8wjD+/mdiYZ8YIbZO65ewZeHZ3gzLS7oqF+h7P6UVZiEQlqtu9uP70Kly0oKzXY40GgWtOmwwgds0Wipxad9lr/vwuzCahP75n4Hmv2rjocLM7IfD0h2LXiEdbYr1Catq9DDyJ+iKlxKsHmnH6tIKkOtcm49NnTkvJ86TSQBnM42qZbXyjhpEqtc1zmNHpDeFjp1dhy4kOvHGwGT/40PyEc+L3pZ7GwJOIaNyzmY24ZFH5oOetm913ZdEXz52JmSVZOH9eCQ41KY31gpEorNyuMWHta+hOfL++G7c9tbfPc2eO0Pz1+RU5uGnddNz1xlGcFlfRdd7cEhgNApGoRHYSc7PNeuB5atds751oT3hfywS3e4L48F0b9Wxmc4+9pv640t4nt8c6R3f7x0epLfd4UsodbnbjWIsHH1jY+27SeGIeIIN5TO1oG9+oQQs8012eZDcb8ZEVlfjJlYuwbnYRGvuYQxX/h3RFFUttiYhoYBaTAZctqYAQQq/4YbntxBM/X7JnZ//4oHNWj0BzpDKeAPD1C+fgP184A3PiGlnmOy1Yo473y0oq8IxtpzoVPQsBtOfb39CdUEJb2+FFU7cftR1KUyGtNHdWSRYON8cynuPld42BJ6Xc87sbIQT6LGMYT7RAsq+7YbXtyp6HyXHjZKwjlPF0+cP6Hh6b2Qh/KJLwQiGlRI26vtmlWch1cH4kERElz6qWDQZC4+NimJJT3ebFul++jud3K3s39zd0oywnNh7v/HmlAJRri6e/dCY+siK2vWqkMp6AUjK7ZHJer+MXqwmRZDrrDnSNl4wcmxk3rpmivx9WK820AFNbX027D9ffswlf/dcOALFS219dvSRh9OB4aebFwJNS7uX9jVhRlY+SnORndY5FA+3ZrO/yoSjLou8tAEYm4xmJSrgDYb0TsM1sRFQmlgMfb/WgrlMJPNerLxJERETJimU8x8fFMCXn8e21qGn34XP/2IaDjS4caHBhfkUO7v3ESjz9xTOxdoaSUVwxJR82sxG/unoJllQq+xKnD7C3eKRcvLAM5bk2zCkdfKTfcPd4BsNRWNUKNAAIhbXAU+mB8tgtazCj2ImH36vG0RaPvl9WK7Utz7Xh3htX4svrZwFgxpOoT+FIFAcbXROiYc1AgWRdpx8VefaEYwM1I0oVt7oHID7wBBI3q799uBUA8PrXz8E3LpyTtrUQEdH4xFLbiWlnTScKnRYUZ1vx0bvfxcEmF+aVZ+P8+aVYVJmL8+aWAAAuWxLrXms1GzEpzz6kaQbpUpRlxbvfXo+1M4sGPdc8jCo1KSUC4QgsRgN+dfUSGAQQjirPU9vhQ1mODSajIaEBZ5cvBCmlHnjaLEYsqMjFV89n4EnUr5oOH0IRiZkjWMs/WiwDbDxv6PQllEgo5ytBYDpLbbv9yswsrdTWrgeeyh+yaFTi8W21mFrowLQiZ8bMRCUiorFDayjEUtuJpabDh9OmFuDPNyyHyx+GySAStlVNLXLixM8vxRo18wkA584p0UeajCXDaS4UjkpEZewGjclo0JMOdR0+faSLNue0IteGDm8I0779HI6p+z+1GevanurxUl0w6O0HIcQcAP+KOzQdwA8A/J96fCqAEwCukVJ2pH6JNJYcUTdCzxjBWv7RMlCX2i5fCPlxd7IGOz9V2tQRKkXZyue2mZXPqQWeD79fjZ21XfjNNUvStgYiIhrfrGaW2k400ahETbsX584pxoopBXj5a2dDSonpgyQatJFyY43eXOgUAk/tOk+77rMYDQhHYns818xQMq7aNduqaQV4ckc9AOC53Q0wiNjnB5QAdrzc5Bk04ymlPCilXCqlXApgBQAvgCcA3ArgVSnlLACvqu/TBKcFniO5iXy09BdIvn+iHV2+kF7u2vP8dLxQH2l2o9Ud0PcIFGcp2db4UttgOIpfvngQq6cX4MplY+/uIxERZQaW2k48rZ4AAuEoKvOVponTipyDBp1j2UBVbYPRfi9iGU+BUES5Dmvs9usZT63Z0fIpse1pnd4QohIJ83GtZuO4uckz1FLb9QCOSilPArgcwAPq8QcAXJHCddEYdaTZjZJsq17qOZ71VYax8Ugrrv7zuwiEo8iyJn4PHOoMJ1+KO5O9dqAJ5//mTaz88St453ALgFjGUyu19YUi2F7dgU5vCJ86YxoHfhMR0SnTS20ZeE4Yzd3Kje3SHOsor2RkDKXU9nCTC7c8uFXvWBvLeBr15wpFJBq7/IhKYJIaeN5x2QK8/93zUZw18Pd0PGU8h7rT96MAHlbfLpVSNgCAlLJBCFHS1wOEEDcBuAkAqqqqTnWdNEYcaXFPiGwnEJfxjPujtKe+S3+7Z7tuq8kAo0HAE0jNEOAjzW68tK8xYXj3E+qw4UKn8kfMGldqu7tWWduquIHKREREQ6Vt4/AFx0cWhgbX4lYrqrLH98QCjdZcSOtG259QJIovPbwdBxpdyLGb8IuPLNGzk1rG02xQMp5aYKplPM1GA4qzrfroPZvZgPs/tQon4uZ8as8TCEfx+sFm/PmNo3jos6thHKM9OpLOeAohLAAuA/DvoXwCKeXdUsqVUsqVxcXFQ10fjSFSShxrnkCBp7F3qdHOmljg2bPUVggBh8UITyA1L9Sfvv99/OKFg+j0BvVj3f4wCpwWPSiOz3i61IA31z7+s9FERJQ+TrVDqTeYmhuplH6RqMQdT+/FW4daTunxLWrGsyR7omQ8k9vj+bcNx3Gg0QUAaOjyIxiOwqvekNGuxcwmA8KRKGo71Bnv+Y6E51g4KRffvWQe7rx2GVZPL8RHVyUm6qwmpdT2c3/fis3H2xOu+8aaoWQ8PwBgm5SySX2/SQhRrmY7ywE0p355NJYcbfHAFQhPnMCzj+HCO2o69bezrb1/vbKsppRlPKvblTtnG460JhzX7qQBsT2egVAEvmAYDouRnWyJiGhYnOrrW6pezyj9TrR58LcNJ/C3DSdw/GeXYPmPXsZn103H58+ZmdTjj7YoPTyKJ0jgmewez8e31eG0qflwWEx481ALFt/xoj7CTt/jaRAIRSQauvwAgLLc3lnjz66b3u/nsJqVjKc6kQUd3hAKBynPzVRD2eN5HWJltgDwFIAb1bdvBPCfVC2KxqY/vHYYJoPQBwiPd1pQp5UaNXX7Udfp0z8e7aM6w2k1wZOCO8Txm8y3VXcCAK5T75DFlz5pa+z2h+EJRvR9pkRERKcqSw083Smq4KH06/DEsmS1HT50eEP4xQsHk3rs8VYP7t94Asur8vTrivEumT2ere4ADjS6sH5eqV7lFj83Xc94Gg0IRaJw+UNwWoz6cyfLZjIiEIoiIpULy44xnPFM6isXQjgAXADg8bjDPwdwgRDisPqxn6d+eTRWRKMSbx9uxYeWVGBmSfZoL2dExF54lUByuxoAXrqoHACQ5+hd0uq0GPUX6g/ftRGPbq09pc99qNGd8H6OzYQvnafctYy/G1mRZ8OkPDvufusYOr3BjBjgTEREY5vNbIBBMOM5lrTHBZ5bT8amH0b6ukseR0qJbz++CxaTAX++YUXa1pdpYoFn/9+fPXXK9qplk/P0sXW/+PBiLK/KAwBoj9QCT08wAkcf1XCDsZkNON7m0f+t4v8tx5qkAk8ppVdKWSil7Io71ialXC+lnKX+vz19y6RMd7DJhTZPcMJkOwHAaFD2bLr9Yeys6cRTO+tgNgr8+polePSWNThjZlGvxzitJngDYbS5A9h6sgNf//fOXucEw1H8Y/NJhHvcZQtHorjijxvw2oEm7FWbGJ01S/kc2TYzKvLs+NPHluPOa5fqj7GajPjpVYtwpNmN53Y3MuNJRETDJoSA02rSb7xS5ovPkh2La15TH1ep1Zd3j7Zh07F2fOviuSjJmRiNhYC4PZ49Ojd3+UJo6FK+Z3vruwEA8yty0O1TfhfK82xYXJkHIFaBZjYKhKMSnkAYzlO4DvvsWYlluOM+8CQajLbPcG0fwdZ4ppXOXv7HDXhudyMWVyplKCv76RzrsCgv1AfVjehFWZZe59z91lF894k9eGpnfcLxk+1e7KjpxNce2Ym99d3IsprwoSUVAGIvKJcsKu/1wnD27GJ8ZEUlAMDl50UCERENXyp7FlD6VLd58bVHdqCuwxd3LBZ4ans3+9OszgefSIkFQLm5UppjxYHG7oTjV/95I9b87DVIKbGnrgtTCx3Itpkxt1yp9qvMd+CbF8/BNy+egwvnlwIATEaD2nQorO+PHoq1M4vw+tfPwTcvngMA2F7dMcgjMhcDT0qJjUfbMLXQgUl59sFPHkeyraaEYG7VtIFHlWTbTDjQ6MIPn9kHAKgqcPQ650iz8iLg7dGmXjvuC0bw5qEWzCvPxvIqZejwNSsnD/h5r1o+CQD0u3RERETDkaqeBZRaz+9uwGf/b4t+U+C//70Dj2+rw983V8NmNsBqMuCk2pwQUPZvDkT7Nz6VgGms+8DCcrxxsCUhs3+oSbkWq+3wYU99FxZMygUAfOeSeXjsc2sxrcgJh8WEz58zEya1XNdhMaLNE4Q7ENY7Qg9VllV5zk+dMRXvHmsbszd9GHhSSrx/oh1rJtjdMECZ1Rn/B2mFGgj25+NrpuCSRWV6ELmtujOhIREAdPpCAIC6Tl9CCYz24hAIR9HiCuDL62dhZkkWnvvyWfjBB+cP+Hm11t2DbOUgIiJKilJqy+ZCmeZz/9iGl/c14ckdylxv7ea4OxDGdy+Zh6IsK062xQLPYy2JgefND27B1/61Q3/fq/4bT8StOpcuLkcgHMWr+5t6fez9E+2oafdhbqmS6bSZjVgxpe9rwPPmluBIsxt767vhsA7v+/iNi+bghf+3bszeCGDgScMWDEfh8odRkTuxsp2AMsssvlPcaf2U2GqWV+XjTx9bgXe/vR7Ti5wAgB89vS/hnE6vEnje9cZRXPjbt/T9Ba1quUt5rg3/vGk1zpqlzMWdX5Ez6IiUvlp3ExERnaocmwkuf2i0l0GqXbWduPftY/r7331iD7zBMIKRKKYXO/HKV8/Gx9dMRVmuTd8j6LAYcaw1sdT2xb1NeHx7nf6+lvGciM0JV1TloyzHhqd3NvT62PsnlHLXacXOQZ/nimWT4LQY4fKfesZT47CYxmzQCTDwpBTYfLwNgJL9m2iybCZ9LtMdly1Abh+dbPtSnG1FVG2L/cLeRuyo6dQDTG2/ZqHTAncgjNnfex7/3lKDdm8QFbk2bLz1PCyZnDekdWrd2S5fWjGkxxEREfUl127Wb5TS6LvsDxvw42f3Jxyr7/TBH4xgeVU+qgqVyqfPnDlN//j88hzUtA+8BccbjMBmNsA4AWeAG9QRgfvUho6PbKnRP/aeeu07rWjwwDPHZsbV6pYo5zAznmMdA086JYeaXPjH5pNocwfw8b++B0DprDrRlGRb0eJWMpFZQ7wDFV+ie8UfN+C2p/YCANrdQXxy7VT86pol+se/8eguPL6tDjl2M4Q4tT/+x392CX730WWn9FgiIqJ4eQ4zOsfwPMHx7OsXzgYANHT54Q0lzvD+wMIyXDC/FEIAU4ucCVVbfY1W8QxjX+J4UOC0oNMXwq7aTnzz0V368aMtHhQ4LZhRnJXU83zqjKkQAsiyTrxr5XgMPCkpX3hoG147EKtxv/rP7+K7T+zBO2o3W2Dogdd48KElFVATl0MufdD2XXzjIqVL2e46JevpCoRR4LSgLK477c1nK62047vSDdWpBqxEREQ95Tss6PKFEGXzgIzzwcVKdVNDlx++YAR2cyzwFEIZ+/bAp1ZhSoEDrkAYgbCyj7OjjxsJ3mBk2PsSx7I8hxneYATfemw3KnJt+M8XzsB0tbz2O5fMg82c3PdmSqETf71xJT51xtQ0rjbzMfCkQfmCETy7qwGfvn+LfqxLbYCzv8GlH8uZgKW2p08rwFS1fCV7iF//J9ZMAQDccvYMXLV8EtrdQf2PfoHTglI18Fw6OQ83nK6c6xqjXcyIiGh8yXNYEJVAN/d5jrpml19/22QQKM+zwWwUeP94OwLhaK/gKMdmxrrZxShQR7p1eJR/wzZ378Bzomc88xzK92h/QzfOnlOCJZPzsKIqH2fPLsaH1YkByTpvbikm9zHNYCKZuD9JlLT4O2DN3X69PTSg/CJqJuIeTyEErj2tCv/zwoEhB57fuWQevnnxXBgNAuW5NjS7AmhRGwgVOC0ocFrwh+uXYfX0QhQ6lT98F6gzoYiIiEZTnl0pGez0hvSLcxqeoy1uBMNRzCvPGdLj3jzYor9dkm2F1WTEx06fgvs3ngAA2PvpSKtdW7R5AijLtfU5cs0bjEzIjraavLjeHU71+/DLq5dASslKslMw8SIFGrL2uPr/VT99Fflxv4R71Q3XwMTseAYAN66dghy7CQsrcof0OCEEzEblj1Z5rh3hqMSOmk4ASuAJxMplAGDHDy7o98WDiIhoJJXnKVU5h5pcmJpEgxUa3PpfvwkAOPHzS/v8uJQS7x1vx6ppBXhudyPufOUQfnPNUrxxKBZ4Lq7MAwB85fxZeuDZX+CYr94w0K7zauK280SjEgaDgD8USbqcdDzKs8duqjjitlQx6Dw1LLWlQfWs+e+I62LXGleWMRFLbQEl4P7Y6VMGHWkykPXzSmA2Ctz1xlEAscAzXp7DAqtp4v7xJyKizHHa1ALk2Ex47UDzaC9lXJNS6tubNhxpw7V3b8KdrxzGE9vrcLjZjdcPNuPNgy24duVk/PyqRfjl1YsBKNcMZ80qAoB+A8fCrMTAs7Y9Nt8zoHbaj0g5ITvaaspyrfrbTt78HzYGnjSo+IxnPKsp9uPz8lfXoSSHsyJPVXmuHR9YWI66TuVuYz7LloiIKIOZjQaU59r7bEhDwxO/b/Y7T+zGkjtewtRbn0Wr2kX/75tOQtv1dN+G43AHwrhh9RR8dFVVwoSB4iwlaJKy7wZQBU7l49rezpqOWODpCykNh6JRCcMEzu7Fd611TMAmmqnGwJMG1dFH4LmsKg83rFYa3mRbTZhVmj3Syxp3tO8ngIRyZiIiokxktxjhDUZGexnjQjgS1d9u6Iw1C3r4vdjsyFfV7HKbJ6iPZOv0hrB2RiEWVfbe7lOUrQSWrX00DQKUfboGEatsi5/pqQWeEz3jKYTADLWLLTOew8fAkwbV3seA6OIsK2aXKneBuO8wNU6bmo/ZpVnItZsTGjgRERFlIrvZCH+IgWcqxFeX1XXGMo8l2bFSz2d31etvV8eVxd589ow+n/PKZUrX1bNnF/f5cYNBIN9hQZsnlvHMVZtG+dQbCpEoJnTGE4jNqZ+ovUxSiVe3NKgOTzChq9fnz5mBy5ZW6FlOBp6pIYTAj69YhG9/YO5oL4WIiGhQDmY8B+UNhvHP96r1rTT9ie+fUReX8fQGI7h6RSVWTStA/MhULTu5rCoP69S9nD3NK8/BiZ9fioWT+m9+WOC0oN0dhMsfQqc3hDllyrWdllGVUmICJzwBxMblWUwT/BuRAgw8aVDt3iAK4vYcfvPiufjg4grMKlEznhO421mqrZpWgI+uqhrtZRAREQ3KZjHqmTHq2zM7G3Dr47vxx9ePDHieNxib012vBqlSSniCYZTn2rB+bon+ca3i7PrTq/DIzWuG1WG1wGlBuyeoB7ILKpRRLi51n2kkOrFLbYFY4OkO8Gd9uBh40qA6PEHk99FlNdtmRkWujRlPIiKiCchhNup7AalvWqOgbl/vbUvx4jPHdepYE28wAikBp9WEs+fEymWvWTkZAJBjM8M8zK05BU4L2jwBvbHQAnU0XLdPCYQjUg6ra/948F9nTQegbImi4WHgSYNq9wRR4LTgof86Hb/8yOKEj120sAwrqviLSERENNGkq7nQX985juOtnpQ/72jQvj+DZSU9amlrts2kZzy1clen1YQ5cU0cr1g2CXazEZPyhj9NoMBpQYsrgJsf3AoAmF+uZDy1gDkalTBO8D2ey6vyceLnl6I81z7aSxnzuEuWBtXhDWJJZR7Wzuy9h+C2Dy0YhRURERHRaLNbBs54vri3ETc/uBW7b78wYczHQDq9QfzomX14fFst/vOFM8Z8sz3t+/P0znp8YGEZLllU3ud5WoA6qyRL3w+qBZ5ZVhOEEHjla+vgD0VRlGXF2986F3n24XfAL3Ra0O2PlflOKXQAiGVoJ3pXW0qtsf3bTGknpUSHJ9RnqS0RERFNXA6zCcFwFJFo33Mi73zlMADgZJu3z4/3RRv9sbe+G3e9cbTfGZRjRfwe2F+8cKDf71Us8MxGQ5cfre6AngXNUudHzizJ1hsFFWVZUxqU281G7L79QjgsRpgMIi7jya62lDoMPGlAnmAEwUgUBU7OlSQiIqIYu0W5jOwv6xmJKrMpTcbkAxdtpuSkPDt+/fIh/PjZ/cNc5eiKDzxPtHnx7O4GAEBNuxdTb30WG4+2Aog1F1o4SSl1/dWLB9HqDgCINbdJhxw1a/r765Yh22aGEAI5drM+3kVpLpS2T08TDH+UaEAd6h+efAcznkRERBRjV+caxndkjRdWs3tD2SPYpmY8//f6ZQCGli3NRN4eQfk/36sGALy6vwkA8MS2OgCAR+2YerXaOKiu04cX9jQiy2rC4sq8tK3vxrVT8eBnVuGC+aX6sbll2XhmZwP8oQhLbSmlGHjSgLQ7XgUstSUiIqI42ji1/kaqaGWl4X7KS/uiXXeU59qwcFLOuCq1zXeY9SxmtTq+RNv76g2FYTUZYDMbcemichxtduP53Y24eGFZWqcHmI0GnDWrOOHY1Ssr4QqEUdvhQzQqWWpLKcPAkwak/YHkHk8iIiKK51ADov5LbdXAM5J88NimXXc4LDAIgehYDzxDsWxwWa4dh5rceGZXPXbVdgIAWtSv1xuI6N/PygI76rv8cAXCuGLppBFfs9a9tanbj6hk4Empw8CTBvTkjnpk20yYWZI12kshIiKiDKJlPL3BCD7396248b73Ej6uBZ4hda9nMo62uFGRa4PNbIQQAkOIWTNSfMazPFcZf/LFh7ZjT30XAKCxS8l81nf6UJxtBQDMK8vRH7NmRuFILVVXlqOs8//ePYEOb4iltpQyHKdCfZJS4p/v1+CtQy1YN6sYOUm2QSciIqKJQSsB9QcjeH5PY6+Ph08h43moyY1Z6sxKo8CYL7WNn3NamhObu+kPKcG4li0+3OzGokqlY+2yqjwAwPQi56gEfWVqgPziXmUfKjOelCrMeFKfNh1rx7cf340uXwiT8jkwl4iIiBJppaHxwVUoEstu6hnPSHIZz0hU4miLG7NLlSqr8VBq26buWQWA3B5zN+eX5yAUlgiEI6jp8GJGsfJ1VxU4cPuH5uOBT68a0bVqbGYj8hyxtbKrLaUKf5SoT49vq9XfLlFLP4iIiIg0enOhuD2edR0+/e2hBp7V7V4EwlE942kQAkOo0s047kAYLa4AzOo4mfgALt9hxoySLIQiUbj8YUgJFGUp/TSEEPjkGdMwucAxGssGECu3BQADS20pRRh4Ui++YATP7W5Avnq3qyKPGU8iIiJKpJXadvlC+rHq9tj4k+gQS20PNbkAALPVwFMIjOmM5/EWDwDgf69bhhM/vxShuO/D4so8WIwGBMJReAJKAyKnJXN2wMWXBQ9lHA7RQDLnJ5wywrO7GvCH14/AE4zg3htPQ7bNhAUVOYM/kIiIiCYULeP5vSf36MdOxgWe+h7PJNOWh9XAc1ZJrNQ2MoRRLJnmWKsbADCtSPl61kwvxN1vHQMAzCvPQZcviFAkqs/wdFrTNzZlqOIznmwuRKmSVMZTCJEnhHhUCHFACLFfCLFGCHG7EKJOCLFD/e+SdC+W0svlD+Gbj+7E4SYXblhdhdOnFWDhpFwI3ukiIiKiHhx9ZOiq2zz621rQGEwy43mwyY3KfDucVuV5DYYxnvFs9UAIYEqhUjJ77twSfGBhGQBgUr4dZqNBCTyDasbTmjn5oNLcuFJbXgdSiiT7E/47AC9IKT8ihLAAcAC4CMBvpZS/StvqaEQ9urUWnmAET33xDCyuzBvt5RAREVEGs5p65y/iS22D6t7OcJJ7PI80u/VsJ5C5zYUiUaUhUF+Bd7zjrR5U5NphM8cymVowXui04KTRgFBE6qW2gz3fSCrPZcaTUm/QjKcQIgfAOgB/BQApZVBK2ZnmddEIi0Yl/u/dk1hWlcegk4iIiAbVs+lMvsOMk21K4NkR18012T2etR1eVMU11BFCIBMrbR/YeALn/epNfQ9rf463ejC92JlwzOVXgsxcuxlmkwHBcKzUNiuDMp7FWbHGkgw8KVWSKbWdDqAFwN+EENuFEPcKIbTfoi8KIXYJIe4TQuT39WAhxE1CiC1CiC0tLS2pWjel2NtHWnG81YNPrp062kshIiKiMWh+RQ6q272QUmJPfZd+PJTEHs9ufwgufzihoaExQ5sL1Xf60NjtR6s70O85Ukocb/FgWlFi4PnDyxfg0kXlWDk1H2ajAcFINC7jmTl7PHPsnN9OqZdM4GkCsBzAXVLKZQA8AG4FcBeAGQCWAmgA8Ou+HiylvFtKuVJKubK4uDgli6bU+8emkyjKsuADC8tHeylEREQ0Bs0ry4E3GMFrB5rx/vF2/XgorASeXd4QfHEzPzWbj7Xhly8cBICE2eGZWmqrlRDHlxX31OoOwhUI9wo8Z5Vm448fWw6ryQiLOmZF6wqcSRlPbZYqgEEzu0TJSibwrAVQK6XcrL7/KIDlUsomKWVEShkFcA+A0ZlyS8MWjUq8frAZH1xcAUsf+zWIiIiIBqPNnfzMA1vw+9eO6GPZWt1BXH/PJiz54Uv44kPbej3u2rs34cFNJwEkjnATGTrHM6gG0jUd/Qee9Z3KPNPK/P5ncWrXXO1epSzZkUFdbfMcFnz5vJkAkJHlzjQ2DRplSCkbAdQIIeaoh9YD2CeEiE+NXQlgT68H05jgC0UQisiEjeREREREQxE/+xEAlk7OAwD8Y/NJbDzaBgB489DA264q8+IznplZaqsHnu2+fs9pV/e4FmZZ+j3HbFQuw/fUdaEi1warKXMCTwDKIFVk5r8BjU3Jpre+BOAfQohdUEprfwrgF0KI3eqxcwF8NT1LpHTzqmUvmbS3gIiIiMaWPEfivsBlVUr7jw5vSD+2YFJuwjn+UGLpbVFcUxuDEMjEmCegltr+4bUjeHxbbZ/n6IGnc/DAc/Oxdiyb0merlFGl9RSSmfiPQGNSUsXkUsodAFb2OPzxlK+GRoW238KeQW28iYiIaGzpuUdRy3gCwPc/OB/bqjuwv6E74ZwWV6xBj8NiTOiUm6lzPLWMZzASxdce2Ymrllf2OqdDLZ/NHyDwtKiBZzASxfKqTAw8lX+LzPsXoLGKG/oI3lDmdVMjIiKisWN6kRM5tsSM58K47OZlSyqQYzOh26dcc0gpsau2E21xY1eybYmBq8jU5kLhwTee/u7VwwCA7AEaBplNsSB7eVXesNeVato9gEz8N6CxiYEn6fOj7Aw8iYiI6BQ88YUzkNUjcCxQs31LJuehONuKbJsZLr9SdrvpWDsu+8MGPLY1VqraM3DN1FLbnoFnz1LUFldAn9cpRP8zMC3G2HXXgorcfs8bLULf4znKC6Fxg7WVpJfaOswMPImIiGjorCaDXpoJAHvuuAgAsPMHF+oBaY7NhEA4ikA4goYupTGP1s0W6D07MlPneGrjVDTd/jBy49au7e+8duXkAZ/HrI5TcViMGTlVQPv35DgVShUGngRvUCu15Y8DERERDZ3VZNAzZKunF+j7PXPjGg5lqxnNS3//Do40u3s9R1VB4ugRgxCIZGLg2SPj2eoOJASe2v7Oy5dVDPg8WnPHdbMyc849S20p1RhpEHwhltoSERHR0D3++bV4bX+zHnRuuPU8FDj6bqhz3twSbKvuwH921Pf62Lc/MBfXnV6VcCyT53ieP68ELn8Ym4+3o9sXSvh4h5rxLBigsRAAnD27GFctn4TvXTo/bWsdDgNLbSnFGHgSx6kQERHRKVlelZ/QkXVS3BzOniYXOPC7jy5LCDw/sqIS584pwaWLy3udbxCZOcojGInCbjHh02dOw/X3bEagRwa0Xc149heAa/KdFvzmmqXpWuawCX2cyuiug8YPBp4ET0AptXWy1JaIiIhG0K+uXtLvxwxCZGS2LRiOwmI0wGpSbtj3nEWqZTzzBgk8M10s45mB/wg0JmXeTmYacbUdPjgtRuTYGXgSERHRyPjttf0HnUDmzvEMhKOwmg2wmQ36+/FaXAFk20wZ2TBoKAx6xjPz/g1obGKkQTjR5sGUQueALb+JiIiIUuGh/zodBxpduHJZ5YDniYzNeEYGzHg2uwIozbGNxtJSymDgHk9KLQaehJNtXswrzx7tZRAREdEEsHZmEdbOLBr0vEze42k19Z/xbHYFUJJtHY2lpdSUQicAYHZp1iivhMaLsV0DQMMmpURjlx8Vuf03AyAiIiIaaUYhMq7U1hsMwx+KItdh1jOegV4ZT/+4CDzPnl2Mp754Bm5YPWW0l0LjBAPPCc4TjMAXiqB4HPyBJCIiovEjE0tt6zp8AJTuvX1lPBu6fGjo9KMy39Hn48eaxZV53IpFKcPAc4JrcQUAgIEnERERZRSDEIhmWORZqwaelfn2Pvd4/un1oxACuPa0yaOyPqJMxsBzmA42utDc7R/tZZwyBp5ERESUiQwi87ra1nZqgacDZqOAELGMZ0OXD/98vxrXrJyMyQXjI+NJlEoMPIfpojvfwqqfvopgXJlFJCrxrUd34cN3bUSzK7OD0hNtHgBA2TjovkZERETjh8GQmaW2FqMBxVlWCCFgMxnhD0XgD0Ww4UgbQhGJa1Yy20nUFwaewxDfae2Ng83624eaXPjXlhpsPdmBX75wcDSWlrQX9zSiIteGGcXsWEZERESZQ2RixrPDi/I8mz5qxGo2IBCO4vtP7sHX/70TAJBt49AIor4w8ByGbl9Yf/vxbXX62xuOtOpv+3p0OsskXb4Q3jrcgksWlet/QImIiIgygUEIZFjcibpOHyblxSYB2ExGdPlCeG53g37MbjGOxtKIMh4Dz2FocStltMXZVry0rxG/efkQDja68ONn9+vnjNSdugffPYFr/vLukB7z0t5GhCISly4uT9OqiIiIiE5NJu7xbHEFUBq3PclhMeKNgy3wBGOJBruZgSdRXxh4noI/vHYYu2u70Kw25rl53XREJfD7Vw/jojvfSjjX5Q/39RQp9/3/7MV7x9v1ZkHJeONQC8pzbVg6OS99CyMiIiI6BZk4x9MfisARl9Esz7OhyxdKOMfGwJOoTww8h8gfiuBXLx3Ch+/aiKMtSmOeixaUJZzz2bOm4ZqVlQCAerX72UjZUdOZ9Ll1HT7MKM7ifCYiIiLKOJkyx/NQkwsPba4GAPiCkYTAsjJP6V67vCpPP2Y18fKaqC/c/TxErW4loxiMRLG9ugNFWVZU5tuxdHKeHvR97pyZKHBakGU145/vV0NKmdbgLr7JUeMQRrs0dvlx5qyidCyJiIiIaFgM6rVTuq+jBnP9PZvQ6g7i8qUV8IejCaW0kwuU/Z7XrarCtupOAOANfaJ+MPAcolZ3EABgMRlwotWDOWVKxvCfN63G5uPtsJuNKHBaAAAVeTZ4gxF0+ULIc1gGfe6X9jbCF4rg8qWT9GNdvhDMRgGHpf9/Km1NANDlDfZ7XrxwJIpmlx/luRyjQkRERJlH63sYiUqYjKMXzGnbpvbWdyMSlQnNgy5eWIa6Tj8uXVyObzy6a7SWSDQmMPAcIm0Ppc1kgDsQ1jeY28xGnD27OOHcCrXrWX2nP6nA86YHtwJAQuC54kcvoyTbio3fXt/v46rbvfrbPfcZ9KfNE0RUAiWc30lEREQZSOu4P9rltkVZVtR1+rCtugNAYintzJJs/OyqRaO1NKIxhUXoQ6SV2lpMRrj9YWRZ+4/dtWziUPd5NqnlslJKhKMS9V1+dHiCeG53A17e19Tr/Op2j/52soGnV+2+lmXlBngiIiLKPFrF6qk2GNrf0I2jLe5hr0NrJvTafmVmO8elEJ0aZjyHqK5DCSJtZgO6fCE4Bwg8tTlPDV2DB56RuNt5O2o6cdGCMnR4Y0Hksh+9rL994ueXJjy2vlMJVKcUOpIOPANhJfC0mvjHk4iIiDJPbI/nqT3+A797GwBw/GeXDHnf5ZFmF1rdQayeXog2j7KN6f2T7QCU2Z1ENHTMeA7RSbWs1RuMwB0II9vWf+BZlGWF2ShQ1zlww59QJIold7ykv79TbVJ0ss2TcJ7DYoTN3PufzB0Iw2wUKM22odObZOAZigJg5zUiIiLKTIZhZjw1e+q6h/yYi+98Gx+9exN8wQg6vEHMLMnSA+D+Mp65djOczIYS9YtRR5K2nmzH9fdswtM76wEA7Z4gpMSApbYGg0BZrm3QjGerOwB3QNm4bjUZ9O649759HPE36G45ewb8oSiC4WjC4z2BMJxWE3Id5iFkPJXn4KwpIiIiykRaxnO4geemY21DfkxYrUT7x+aTkBK4flWVfk1m7+fa6b3vrsfW719wyuskGu8YeCbp3rePY2dNJ4qzrfjUGVNhVG/DZQ2Q8QSAilz7oHs829USjjsuW4BrVk7GrtouvH24Bc/ubsBXz5+N/zpzGv5640oUZ1sBAG2eQMLj3YEwnBYTcu1mdCcZePpDWqktfwSIiIgo88QCz1N7vBYgJhN4+kMR3PafPehSK8dml2YBAH787H4AwJLJeVg8KRcAYO2j+gxQti/xhj5R/7jHM0kd3iAWVOTikVvWAFC62z6zq2HAjCegdLZ973j7gOdo5bFzyrLhtJrw4KaT+Oq/dqDQacFN66brf8ReURsLNXcHUJ5r1x/vDUTgtBqRazejc4gZT+7xJCIiokykldrKU8h4hiNR+NSb7O8db0ckKuENhpFtM/d5/tM76/HAuycRkRI/vmIRBARWTS1AVErsquvC9CIn1s0uxs7arn4znkQ0MKa7ktTpDSHXEftjdfO6GTAbBaoKHAM+riLPhsZuf0LzoJ461NmbBU4Llk7OA6DM5pxS6Ei4c1ZVqHyu462Jez89QbXU1m6GNxhBKJJYitsXvblQP3ftiIiIiEbTcMapeALKdc6SyXlwBcJ4dGsNlv7w5X6TAdq+zQ1HlOyoOxBGZYEdD312NV7777OR77Tg8qWTsGJKPqYXZZ3CV0NESUUdQog8IcSjQogDQoj9Qog1QogCIcTLQojD6v/z073YdKtu86Kun7LYLl8IefZY4LmoMhe7b78Iy6oG/rLLcu2IRKU+hqUvHWqpbZ7DjOlFTv241kVNM63ICbNR4Pk9DbjzlUOYeuuz2HysTdnjaTEhTw2Mk9nnyeZCRERElMm0TrQD3bzvjzuo9M44f24JAOCnzx1AJCrxzK76Ps83qUHu8VYP9jd0wx1QRuZZTAZU5is3/meWZOGxz61NSEQQUfKSjTp+B+AFKeVcAEsA7AdwK4BXpZSzALyqvj+mrfvl6zjj56/1+bFOb0gP7DTJ1PEXOi0AYvs4+1LT4YMQQJ7dAoNB4J1vnYscmwnfunhuwnlmowHzK3Lx4t4m3PnKYQDA/717Ep64UlsgycCTpbZERESUwYZTauv2K4Hn9OIslGRb9WujV/c3688npdTnfGrzzQGlaaMnMPCsdiIaukEDTyFEDoB1AP4KAFLKoJSyE8DlAB5QT3sAwBXpWeLI6PT2HxgGwhH4QhE9sBuKfIcSeHb08/xdvhAefq8a588rhUXNPlbmO7Dr9otwyaLyXuff/8nT8OJX1unvP7u7AfWdPjgtJuSo60tmpEpsjicznkRERJR5htNcyB1QroWcViNKc2wAgLIcG+o6fTjQ6AIA3LfhBNb/+k3sru1KCDy7fCGEo3LAWe1ENHTJRB3TAbQA+JsQYrsQ4l4hhBNAqZSyAQDU/5f09WAhxE1CiC1CiC0tLS0pW3iqHVT/CMWLRiWklLj5wa0AgAKndcjPm+9UgsEOT+9gMBCO4Mb73oPLH8ZXzp+V5PNZMKcsGy9/NRZ8ugJhlOba9FLgZDrb6hlP7vEkIiKiDDScOZ7t6nVXvsOCC+eXAgB+8ZHFAGLNGt8+rFyXNnb74YsLPLXtUQPNaieioUsm6jABWA7gLinlMgAeDKGsVkp5t5RypZRyZXFx8SkuM/1On16Ia1dOhkPdXL6vvhvTv/Mc7nn7GN44qPxhWj+vz9h6QAVqxrO9j4znhiOt2FHTiZVT8rGgIndIzzurNFsv/X37m+fi/62fNbRS2xBLbYmIiChzDWeOp9Y/o8BpwefOmYGDP74Y62YXY0qhA4ebE8trlY63scCzuVsJPJ0WBp5EqZTMb1QtgFop5Wb1/UehBJ5NQohyKWWDEKIcQHO6FjlSSnNt8AYjiEQltpxUup799LkDAID7P3WaXqoxFHlq4NnZxx7PVrdy7DfXLD2l9b701XUIRSQm5SmjVXL1Utv+y4Y1gXAEZqPQ55ESERERZRKHGvh1eEKoHGILS61BY2GWBSajQb/gLXBa9O1PXrUBUZcvqI9eAYAWNeM52Kx2IhqaQTOeUspGADVCiDnqofUA9gF4CsCN6rEbAfwnLSscQVrg1uYO4Ih6NwwAzphZiHPmDD3bCQAWkwEOixEdfey77Ij7o3gqSrJtetAJQN/j2eULD/pYXyjCbCcRERFlrOVT8gAAm4+3Dfmx7Z4AbGaDHrxq8h0WtHuCkFKiscsPQOmN4QvGrp1aXGrgyT2eRCmV7Aa/LwH4hxBiF4ClAH4K4OcALhBCHAZwgfr+mJZlVQKxC+98C//37kn9eF9NfoYi22aCy68Enkea3fj6v3ciGI6i3RPUA9NUMBsNyLKa+i219QbDuP2pvejyhtDmDqLAeWoBLxEREVG6lefaMbXQgU3Hhh54tnmCKOyjN0e+w4IOTxB767v1yrNOXwjeYAT56hYmBp5E6ZHUb5SUcgeAlX18aH1KVzPKTp9WCCCxK6xBABcvKBvW82bbzHCpbb2/9+RubDrWjqtXVKLdE0Sh06LPqUoFdyCM+zYcx9lzirFySj4kgKd21OO6VZPx/O5G3L/xBEKRKJpdfpTmDL1ZEhEREdFIWTOjEM/sakAkKrGvvht2ixEzS7IGfZzLH+6zOVCB04x2bxDP7W6A0SBgEEB1uxcHGrpRkWdHpy+kl9qyqy1RarGlaZypRU5s+vZ6fYgwAKyfV4rCrOEFaNk2E9wBJfAUUJ67sduPuk6fvgc01W687z1c+Nu38MOn9+I7T+zG5uPt2HhUuWP4j83V2HSsHUXD/LqIiIiI0mn19EK4/GHsq+/Gh/7wDs7/zZtJPS4cicJs7H2Zm++0wB+K4rFttVg7oxAfWlKBZ3c14GiLB1+/aA7sZqOe8WRXW6LUYuDZQ1muDR9aUgEAKMqy4I/XLx/2cyoZTyWLqo0v+Z/nD2Dj0TZcoLb4TpXbPjRff7uu04dHttQCAF7Y04jHttUmnHuyzZvSz01ERESUSmumK9VoT+6o04+FI9GEczo8wV5j8cJRCZOxd0VZSbbSKLKpO4ALF5Th/62fhRybCTeumYJz55TAbjbqHW6Z8SRKLf5G9eHHVyzEl9fPwrQiZ0qeL9tmQm27EuS1qw2FphQ6sXJqAb583syUfA7N/PKcPo+/dTg2Q3XHDy7Ap+9/H587J7Wfm4iIiCiVSnJssJgM+Os7x/VjB5tcCWPo7nzlEB7ZUotN316PXHWfZigShdnQO79SnhubUDC/PAdTCp3Y9J31sJuVfhszirPQ5mmHEIDDzCaMRKnEwLMPTqsJ01J5l0sCx1o9uOi3b+FgkwvXrarCz65alLrnjxPfva0814Y10wsRjETxzK4G/Xiu3YzHP39GWj4/ERERUSrdcPoU3LfhOMpzbWjo8mNHTWdC4Hm42Q1fKIJHt9XiM2dOAwCEIxIW08CB58xiZa9o/LXT3Z9Ygf954QDaPUEYOHKOKKUYeI6AE20eAMrmdQCYVuRI2+eyx3XI/d6l83Hp4nJUt3nx4t5GhCLKAOZUNjMiIiIiSqdvXzIXX71gFuxmI07/6avYXt2Jj50+BQCwt74rrofFSdy4ZgpMRgNCUQlHH3s8y3NjY+i07Gi8PIcFP7tqcZq+EqKJjXs8R8BPr1yEz58zA+er+zmzrL3/0KVK/GgWm7qftKrQgc+zrJaIiIjGILPRgGybGSajAcuq8rC9ukP/2L/VXhaT8uw41uLBzO8+j+Zuv9JcqI+Mpd1ixM+vWoRX//vsEVs/ESmY8RwBSybnYcnkPJxs86Cxy4cLF6S2oVC8xMAz9vZXL5iNc+eWoNMbTNvnJiIiIkqnJZV5eGV/M9yBMLKsJhjV4PKJz6/Fqp++CgCo7fQhHJH6x3r66KqqEVsvEcUw4zmCphQ68e9b1qZ1jIm9n8ATAJZOzsM5c0rS9rmJiIiI0mlWqbIv83iLso3J7Q+jJNuKkhwblk7OAwB4AmGEon2PUyGi0cPfyHHGEvdHViu1JSIiIhoPZqgNgY62uAEArkBIn7f5i48oezO7fCGEI32PUyGi0cPIZJyJbxzUM+NJRERENJZVFTpgEHGBpz+MLJvSOyNH/b8SeEZh6mOcChGNHv5GjmMMPImIiGg8sZqMqCpwYF99N4LhKFz+MHLUjGeuPRZ4hqISZmY8iTIKA89xzM7Ak4iIiMaZbJsZrx5oxjV/eRcuf6zU1mY2wGI0oNsXVjKeDDyJMgoDz3Foblk2AAaeRERENP5cp3al3VHTiaMtHmRZlcBTCIEcuym2x5OltkQZheNUxqGHP7saW092JHS4JSIiIhoPrj+9CpcuLseSO14CAFQVOPSP5djN6PaF1K62zHgSZRLeChqH8p0WnD8/fbNCiYiIiEZTrt2M6UVOAMCCSbkJx2NdbXmZS5RJ+BtJRERERGPOnz++AhfOL8Xp0wr0Y3rgGZUwG5jxJMokDDyJiIiIaMyZXZqNuz+xEg5LbOdYjs2Mdk8QAJjxJMow/I0kIiIionEh125GmycAAOxqS5RhGHgSERER0biQazfDH4oCAMzsakuUUfgbSURERETjQkWeXX+bGU+izMLAk4iIiIjGhcuXVuhvc48nUWbhbyQRERERjQtOqwk3rK4CALS7g6O8GiKKZxr8FCIiIiKiseFbF89Fly+MSxeXj/ZSiCgOA08iIiIiGjeybWb873XLRnsZRNQDS22JiIiIiIgorRh4EhERERERUVox8CQiIiIiIqK0YuBJREREREREacXAk4iIiIiIiNIqqcBTCHFCCLFbCLFDCLFFPXa7EKJOPbZDCHFJepdKREREREREY9FQxqmcK6Vs7XHst1LKX6VyQURERERERDS+sNSWiIiIiIiI0irZwFMCeEkIsVUIcVPc8S8KIXYJIe4TQuSnYX1EREREREQ0xiUbeJ4hpVwO4AMAviCEWAfgLgAzACwF0ADg1309UAhxkxBiixBiS0tLSwqWTERERERERGNJUoGnlLJe/X8zgCcArJJSNkkpI1LKKIB7AKzq57F3SylXSilXFhcXp2rdRERERERENEYM2lxICOEEYJBSutS3LwTwQyFEuZSyQT3tSgB7BnuurVu3tgohTg5rxelVBKBnAyWi0fD/27v3GDvKMo7j36ftpi2lckkBMRUaQxsablUaogmkIJSgAS8JlUDkoiYQlEqCRBIIqQEMGBIUAoSbAVKkCmIRUCAQEYRGoiAXuQhCwVC0QjCkBVqg+/jHvG2Wsruw3T1nZud8P0nTnjnnbJ6T/fU988w7845ZVBOYQzWFWVQTmEM1RdOzuOtgGz/OqrY7AcsjYuPrb8zMuyJiaUTMo7r+8yXgpI/6QZnZ6CnPiPhrZs6vuw7JLKoJzKGawiyqCcyhmmK8ZvEjG8/MfBHYZ5Dtx3akIkmSJElSq3g7FUmSJElSR9l4ftBVdRcgFWZRTWAO1RRmUU1gDtUU4zKLkZl11yBJkiRJajFnPCVJkiRJHWXjKUmSJEnqqJ5qPKPcE0aqm1mUJElSL+mpxpPe+7xqrr66C5AAImJG+Xti3bWod0XErLprkAAiYn5E7Fh3HVJEHBIR+9Zdx1jqiUYsIvaLiBuA8yNir4joic+t5ilfaDcDF0bE/u7sqw5R2SoilgG/BcjMDTWXpR4UEZ+LiHuBcxwPVaeI2CMiVgBLgG1rLkc9LCI+GxF3AsuB3equZyy1ugGLiAkRsQS4BrgTmAR8D9in1sLUc8qO/gXAFcAdwGrgFGCXWgtTT8rK2+XhjIg4Gaoxs8ay1EPKmHgWsAz4ZWYet/Hgh5ciqCanAssz84jMfA7MororIiZGxFXA1cCVwI3A3PJcK76fW/EhhpKZ/cDLwAmZ+Qvgx8CugEdV1VVZ3bfoj8DCzLweuBZI4LU661JvKjv9O1MdAPkOcHJEbJuZ/W35clOzlTGxD3gwM6+BTUf5J6X3eVMXlZ397am+ky8t274eETOBqeWxDag6rhx8uws4IDNvBW4BDoqIKaWnGfdadx/PiFgArMvMh8vjKcC7QF9mro+Im4ClmXl7nXWq/TbP4oDtBwA3AK8CDwO/y8x7aihRPWJgFiNiwsYvsIi4lWrm/QzgLeDqzHyhvkrVZoN8P0+j2rH6O7CA6kDIm1SzTr+urVC13hD7in8DTgeOBmYA/wHezcwTaytUrTfMvmIABwNHAWdk5ht11DfWWnNkOyKmR8RvqM6HPqkcvQJYn5n9pensA2YC/6itULXeIFncrmzf+P/tDapZ+C8AjwPHRMTu9VSrNhssiwOazjnAi5n5CnAP8F3g5oiYXMZKaUwMNSZm5lvAUmAe8IPMPBx4ADis5FMaU8NkcR3VmUiXAXdn5mHAWcCeEfGl2gpWaw2zrxgREeXMj2epms8pG5+rreAx0prGk2pW8w/AN6lmko6ETafzbDQXWJ2Zz5Vf+H7dL1M9YPMsLoJNp36TmU9l5n3ltfdTLWKwtvtlqgcMmsXiVWBORNwGXEiVxZczc31mvtf1StVmQ+awXAbzjcx8oGy6F9gBx0R1xnBj4uVUp9buAJCZq4AHgVac4qjGGWpfMTMzy9lJr1CdGTdYTzMujevGMyKOi4gF5dqk9VSLCN0LPAfM33jENCImlbdsD7wdEScAK4C92nD0QPUbQRY3z9uhVP8P13S1YLXWx80iMJ3qy+5FYN/MPAL4dLRs6XbVYyRj4mankC2kutbOxlNj4uNmMTPXAouB4yNiXll07RDgpZpKV8uMYFycUNZcmAQ8T3UpTCuMu2s8y477J6lWeuoHXgCmAadm5uvlNbOB46nOmT5vwHvPp7qW6TrgZ5n5RHerV5tsaRYjYjJwAPATYBXww8x8tvufQG0xwiyuz8xzy7ZtMvPNAT/nA4+lkRjFmDgB2B+4GPgX1fVMjonaYqPcVzyK6u4HewBnZuZTXS5fLTKacbE0nz8F1mbm2bV8gDE2rmY8I2JimWaeDqzKzIOprkt6g2rZYQAy83ngEeBTEbFbRGxVnrodODozv23TqdEYRRYnUw08q4ElmfkVd7A0GluQxZ1LFqcC68rPmFBeY9OpLTKKMXEK1QznKqox8auOiRqNUWRxWkT0ZeavgLNKFm06tcVGOS5OLU+f1pamE6r7WjZemWo+B5gYEb8HPgFsAMjM9yPi+8CrEbEgM+8v25dHxFyqZYm3joiDMnNFTR9BLTEWWQQOyswngSdr+RBqhbHKIvBMtmSZdnXfGOXwi5n5NNVMgLRFxnhMHF+nA6pRzOLQGj/jGdUyw48A2wH/BM4F3qO6r81+sOli23OAHw143yKqFcnuA/bOzGe6W7naxiyqKcyimmAMc/h0dytX2zgmqinM4vAaf41nVPc8nJWZS8vjy6lmit4BFmfmvuU0sR2BS6iuDVlZ3kdm/qmm0tUyZlFNYRbVBOZQTWEW1RRmcXiNn/GkOmpwU0RMLI8fAnbJzOuoprAXl9PEZgIbMnMlVL+4tv/y1HVmUU1hFtUE5lBNYRbVFGZxGI1vPDPz7azuK7ehbFoIvFb+/S1gbkTcASwDHq2jRvUGs6imMItqAnOopjCLagqzOLxxsbgQVCtDUa18txNwW9m8BjgT2BNYmdXNfqWOMotqCrOoJjCHagqzqKYwi4Nr/IznAP1AH/A6sHc5WnA20J+ZD/biL0+1MYtqCrOoJjCHagqzqKYwi4No/OJCA0XE54EV5c+1mfnzmktSjzKLagqzqCYwh2oKs6imMIsfNt4az5nAscBFmbm+7nrUu8yimsIsqgnMoZrCLKopzOKHjavGU5IkSZI0/oynazwlSZIkSeOQjackSZIkqaNsPCVJkiRJHWXjKUmSJEnqKBtPSZJGICI2RMRjEfFURDweEadFxLDfpxExKyKO6VaNkiQ1jY2nJEkj805mzsvMPYCFwJeBJR/xnlmAjackqWd5OxVJkkYgItZm5tYDHn8G+AswA9gVWApMK0+fkpkrIuLPwFxgJXA9cAlwAXAgMBm4LDOv7NqHkCSpy2w8JUkagc0bz7Ltf8DuwBqgPzPXRcRsYFlmzo+IA4HTM/Pw8voTgR0z87yImAw8BCzKzJXd/CySJHXLpLoLkCSpBaL83QdcGhHzgA3AnCFefyiwd0QcWR5vA8ymmhGVJKl1bDwlSRqFcqrtBuC/VNd6rgb2oVpHYd1QbwMWZ+bdXSlSkqSaubiQJElbKCJ2AK4ALs3q2pVtgH9nZj9wLDCxvHQNMH3AW+8GTo6IvvJz5kTENCRJailnPCVJGpmpEfEY1Wm171MtJnRRee5y4JaIWATcB7xVtj8BvB8RjwPXARdTrXT7aEQE8Brwte6UL0lS97m4kCRJkiSpozzVVpIkSZLUUTaekiRJkqSOsvGUJEmSJHWUjackSZIkqaNsPCVJkiRJHWXjKUmSJEnqKBtPSZIkSVJH2XhKkiRJkjrq/1zERUPa32uaAAAAAElFTkSuQmCC\n"
},
"metadata": {
"needs_background": "light"
}
}
],
"source": [
"df['Open'].plot(figsize=(16,6))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Maintenant, ajoutons une moyenne glissante ! Cette méthode de roulement (rolling) fournit des entrées de lignes, où chaque entrée est alors représentative de la période. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" Open High Low Close Volume \\\n",
"Date \n",
"2012-01-03 NaN NaN NaN NaN NaN \n",
"2012-01-04 NaN NaN NaN NaN NaN \n",
"2012-01-05 NaN NaN NaN NaN NaN \n",
"2012-01-06 NaN NaN NaN NaN NaN \n",
"2012-01-09 NaN NaN NaN NaN NaN \n",
"2012-01-10 NaN NaN NaN NaN NaN \n",
"2012-01-11 59.495714 59.895714 59.074285 59.440000 9.007414e+06 \n",
"2012-01-12 59.469999 59.744285 59.007143 59.321429 8.231357e+06 \n",
"2012-01-13 59.322857 59.638571 58.941428 59.297143 7.965071e+06 \n",
"2012-01-17 59.397143 59.708571 59.105714 59.358572 7.355329e+06 \n",
"2012-01-18 59.450000 59.791428 59.217143 59.502857 7.047043e+06 \n",
"2012-01-19 59.578572 59.960000 59.335715 59.707143 7.412086e+06 \n",
"2012-01-20 59.767143 60.180000 59.577143 59.988571 7.908014e+06 \n",
"2012-01-23 60.017143 60.387143 59.787143 60.204285 8.017800e+06 \n",
"2012-01-24 60.154286 60.672857 59.979999 60.474285 8.035857e+06 \n",
"2012-01-25 60.440000 60.958572 60.270000 60.749999 7.776786e+06 \n",
"2012-01-26 60.715714 61.205714 60.448571 60.910000 7.624814e+06 \n",
"2012-01-27 60.868572 61.361429 60.575714 61.010000 7.678514e+06 \n",
"2012-01-30 60.945715 61.445714 60.661428 61.108571 7.450271e+06 \n",
"2012-01-31 61.057143 61.491429 60.648571 61.158571 7.362086e+06 \n",
"\n",
" Adj Close \n",
"Date \n",
"2012-01-03 NaN \n",
"2012-01-04 NaN \n",
"2012-01-05 NaN \n",
"2012-01-06 NaN \n",
"2012-01-09 NaN \n",
"2012-01-10 NaN \n",
"2012-01-11 51.842984 \n",
"2012-01-12 51.739567 \n",
"2012-01-13 51.718386 \n",
"2012-01-17 51.771963 \n",
"2012-01-18 51.897808 \n",
"2012-01-19 52.075984 \n",
"2012-01-20 52.321443 \n",
"2012-01-23 52.509586 \n",
"2012-01-24 52.745077 \n",
"2012-01-25 52.985553 \n",
"2012-01-26 53.125103 \n",
"2012-01-27 53.212323 \n",
"2012-01-30 53.298295 \n",
"2012-01-31 53.341905 "
],
"text/html": "\n\n
\n \n \n | \n Open | \n High | \n Low | \n Close | \n Volume | \n Adj Close | \n
\n \n Date | \n | \n | \n | \n | \n | \n | \n
\n \n \n \n 2012-01-03 | \n NaN | \n NaN | \n NaN | \n NaN | \n NaN | \n NaN | \n
\n \n 2012-01-04 | \n NaN | \n NaN | \n NaN | \n NaN | \n NaN | \n NaN | \n
\n \n 2012-01-05 | \n NaN | \n NaN | \n NaN | \n NaN | \n NaN | \n NaN | \n
\n \n 2012-01-06 | \n NaN | \n NaN | \n NaN | \n NaN | \n NaN | \n NaN | \n
\n \n 2012-01-09 | \n NaN | \n NaN | \n NaN | \n NaN | \n NaN | \n NaN | \n
\n \n 2012-01-10 | \n NaN | \n NaN | \n NaN | \n NaN | \n NaN | \n NaN | \n
\n \n 2012-01-11 | \n 59.495714 | \n 59.895714 | \n 59.074285 | \n 59.440000 | \n 9.007414e+06 | \n 51.842984 | \n
\n \n 2012-01-12 | \n 59.469999 | \n 59.744285 | \n 59.007143 | \n 59.321429 | \n 8.231357e+06 | \n 51.739567 | \n
\n \n 2012-01-13 | \n 59.322857 | \n 59.638571 | \n 58.941428 | \n 59.297143 | \n 7.965071e+06 | \n 51.718386 | \n
\n \n 2012-01-17 | \n 59.397143 | \n 59.708571 | \n 59.105714 | \n 59.358572 | \n 7.355329e+06 | \n 51.771963 | \n
\n \n 2012-01-18 | \n 59.450000 | \n 59.791428 | \n 59.217143 | \n 59.502857 | \n 7.047043e+06 | \n 51.897808 | \n
\n \n 2012-01-19 | \n 59.578572 | \n 59.960000 | \n 59.335715 | \n 59.707143 | \n 7.412086e+06 | \n 52.075984 | \n
\n \n 2012-01-20 | \n 59.767143 | \n 60.180000 | \n 59.577143 | \n 59.988571 | \n 7.908014e+06 | \n 52.321443 | \n
\n \n 2012-01-23 | \n 60.017143 | \n 60.387143 | \n 59.787143 | \n 60.204285 | \n 8.017800e+06 | \n 52.509586 | \n
\n \n 2012-01-24 | \n 60.154286 | \n 60.672857 | \n 59.979999 | \n 60.474285 | \n 8.035857e+06 | \n 52.745077 | \n
\n \n 2012-01-25 | \n 60.440000 | \n 60.958572 | \n 60.270000 | \n 60.749999 | \n 7.776786e+06 | \n 52.985553 | \n
\n \n 2012-01-26 | \n 60.715714 | \n 61.205714 | \n 60.448571 | \n 60.910000 | \n 7.624814e+06 | \n 53.125103 | \n
\n \n 2012-01-27 | \n 60.868572 | \n 61.361429 | \n 60.575714 | \n 61.010000 | \n 7.678514e+06 | \n 53.212323 | \n
\n \n 2012-01-30 | \n 60.945715 | \n 61.445714 | \n 60.661428 | \n 61.108571 | \n 7.450271e+06 | \n 53.298295 | \n
\n \n 2012-01-31 | \n 61.057143 | \n 61.491429 | \n 60.648571 | \n 61.158571 | \n 7.362086e+06 | \n 53.341905 | \n
\n \n
\n
"
},
"metadata": {},
"execution_count": 5
}
],
"source": [
"# Moyenne glissante sur 7 jours\n",
"df.rolling(7).mean().head(20)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
""
]
},
"metadata": {},
"execution_count": 6
},
{
"output_type": "display_data",
"data": {
"text/plain": "