module3/exo3/exercice_fr.ipynb

parent c32a11ec
......@@ -4295,21 +4295,35 @@
},
{
"cell_type": "code",
"execution_count": null,
"execution_count": 29,
"metadata": {},
"outputs": [],
"outputs": [
{
"data": {
"image/png": 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A/bwB5AcKAg2AP4Gm3nHf712f/Imco8Le8T3gxdEANztfUOA1T+aeC7yeye7fe78ENwNoKdz90dfv/t2Pm1q7MG7mSP9z0Ro3O2AuINhb9za/a6O4WRULAvVx03fX9soHAGu8aypeeemUzkEix5vkvZPIumHAAu99KdzskPd6+7nb+1zaKw/Hzfh5rRd/ODDUK6sDHAduwP1eDAPO4f3OJbLfeNfNO18RuNk+8wHVcLNzdvTKB3v13eatW9Bbdho342ge3EyQ24H/4u7ph4HtfvuYDnzknc8rvGv8aFb/m2g/9nOp/ljLtTHZRxngoKqeT6Rsr1cO7j/Sa0SkjKoeV9W4KZN7Az+p6iR1rd6HVHVlWgJQ1QhV/V1Vz6trNf8Il4SkRjNcsj9U3bTLc3FTQd/tt87XqrrEO8YJQFIPlp3DJU/XqGqMF9cxL8ZZqrpVnfm4qc9bJFJHDC5prSMieVU1Si9Mb90beFlV/1TVA7i/GNwbsP+XvfM4G5cc+fflTvE4RERwScxT3rU4BryKmwo8TiwwSFXPqOopb/2PVHWxd9zjcElmYtOkdwGiVHWsd72W46a3vyPxU5oqqdn/u6q6R13/5W/8jr0Hbirutap6Apfg+ahquKquUdVYVV2Naz0OvLdeUtVTqroKN7V9fW/5Q8DzqrrRu+6rVPVQWs9BGu6dQJ2Bzar6mbefScAG3DTjccaq6ibvOk71Oy93AN+o6gJVPYtLktMyRm5joKyqvuz9Xm3DfQnp6bfOIlWd7p3bU96yX1X1B+8e/QL3JXKoqp4DJgNVRKSEuL8I3YS7T0+o6p/A2wH1G2P8WN8rY7KPg0AZEcmTSIJd3isHeBDXqrpBRLbjEpJvgUq41rOLJiLXAsOBRrhW4zy4VrPUqADsVNVYv2V/AFf5fd7n9/4kLhlPzGe445ks7mHOz4H/quo5EbkJGIRrJczlxbkmsAJV3SIiT+GSvCAR+QF4WlX3eLH+ERBnBb/PhwKuQWCsqTmOsl5s37g8G7jQshjngKqe9vtcGbhfRJ7wW5YvIDb/dZuKyBG/ZXlw5+5ipWb/gcceV1aB+PeK//lFRJoCQ3Et2/lwX3y+CNh/Uuc1qXs7TecgtfdOIgLvF0j9vV0B17oOgKqeFJFDqdhnnMpAhYBjzA386vd5Jwnt93t/CvfFPcbvM16MFXCt2XsD7tPE6jTGYH2ujclOFuFaCW/3XygihXEtSz8DqOpmVb0b9+fbN4AvvXV24v7k/XeMwrXI1VDVYrguHpL8Jj57gEoi4v/vztXA7rQG4bUYv6SqdYDrcS2U94nrF/0V7k/r5VS1BK6rRaIxqupEVb0Bl6Ao7nzFxVo5IM49aY0zBQdxScyNqlrL+7lWVcv5hxiwzU5giKqW8Psp5LWUBtoJzA9Yt4iq9kui7tRIy/4D7cUlwXGuDiifCMwEKqlqceBDUn9vJXVvp3QOfNJ67wQIvF8g9ff2XqCiXxwFcX+VSUpi98T2gGMsqqo3J7NNWuzE/btTxq/+Yqoa9DfqNCZHs+TamGxCVY/iuieMFJFOIpJXRKrgWvd24bXGicg9IlLWayGOa82KwXVPaC8iPUQkj4iUllSM5xugKHAMOC4itYDAJGU/rs9nYhYDJ3APY+UVkda4P5tPTmMMiEgbEannPVR1DNdNI4YLLZ4HgPNeS2SHJOqoKSJtvaTqNC7RjWu5mwQ8LyJlvQfPXsS1jqcb7/qMBkbIhYcxrxKRjslsNhroKyJNxSks7kHAooms+y1wrYjc653vvCLSWERqe+XJXSuSWCct+w80FfcwXR1xD20OCigvChxW1dMi0gTolYo643wMvCIiNby4gkWkNCmfA3+pvncSMdvbTy/vd+suXF/qb1Ox7ZfALeIeiMyH+x1PLqEPvCZLgGPiHnwtKO7hzroi0jiVsSdLVffiusf8n4gUE5FcIlJdRFLbHcyYy44l18ZkI6r6Jq61eBguqVyMa1lqp6pnvNU6AZEichx4B+ipqqdVdQfu4bt/4R64W8mFPqup9Qwu6YnGJVpTAsoHA+PEjSQRb1QGrz9pV1wr+0HgA+A+Vd2QxhgArsQlJcdwD83NBz5X1WigPy6R+8uLdWYSdeTHdUM4iPuT/RW4cwuu7/MyYDWuW8Byb1l6+zewEVjkjeTwE/H7bsejbpi4h4H3cMe3BfdgXWLrRuOSw564ltV9XHg4EmAMrr/5ERGZnsQuB+N3PdOy/0Ti+Q73AOdcb7u5Aav8A3hZRKJxX2ampqZez3Bv/Tm4e2IMUDAV58A/vrTcO4HbxvXv/hdwCHgW6KKqB5Pd0G0bCTyB+5K5F/e79SeutTgx8a6b15XjFlwf7u24+/lj3FCd6eU+3JePdbhz8yWuK5oxJhGi+nf+WmSMMcaY9CIiRXB/caqhqtuzOh5jTNpZy7UxxhiThUTkFhEp5D0bMQz315KorI3KGHOxLLk2xhhjstatuG4re4AauK5c9mdlY7Ip6xZijDHGGGNMOrGWa2OMMcYYY9KJJdfGGGOMMcakk2w9Q2OZMmW0SpUqnDhxgsKFC2d1OGliMWeO7BgzZM+4LebMYTFnnuwYt8WcOSzmy1NERMRBVS2b0nrZOrmuUqUKy5YtIzw8nNatW2d1OGliMWeO7BgzZM+4LebMYTFnnuwYt8WcOSzmy5OI/JGa9axbiDHGGGOMMenEkmtjjDHGGGPSiSXXxhhjjDHGpJNs3ec6MefOnWPXrl2cPn06q0NJVvHixVm/fn1Wh5EmFnPmyY5xpyXmAgUKULFiRfLmzZvBURljjDGZK8cl17t27aJo0aJUqVIFEcnqcJIUHR1N0aJFszqMNLGYM092jDu1Masqhw4dYteuXVStWjUTIjPGGGMyT47rFnL69GlKly59SSfWxlzORITSpUtf8n9dMsYYYy5GjkuuAUusjbnE2e+oMcaYnCpHJtcmZ5kwYQI7duzI6jCMMcYYY1JkyXUG2LdvHz179qR69erUqVOHm2++mU2bNgEQGRlJ27ZtCQ0NpUaNGrzyyiuoaqbE9eGHHzJ+/HgAwsLC+PLLLwFo3bo1y5YtS3bbESNGcPLkSd/nm2++mSNHjmRcsJ4xY8Zw4MABrr766iTXuf7669NUp/+xP/TQQ6xbt+5vxWiMMcYYEyfHPdCY1VSVbt26cf/99zN58mQAVq5cyf79+6lUqRJdu3Zl1KhRXHfddeTOnZvu3bvzwQcf8Nhjj2V4bH379r3obUeMGMFtt93m+zx79uz0CClFDz74YJJlMTEx5M6dm4ULF150/R9//PFFb2uMMcYYE8hartPZvHnzyJs3b7xENiQkhBYtWjBx4kSaN29Ohw4dAChUqBDvvfceQ4cOTbHe06dP88ADD1CvXj1CQ0OZN28e4FrCmzRpQkhICMHBwWzevBmA8ePHExwcTP369bn33nsBGDx4MMOGDUt2P/369aNRo0YEBQUxaNAgAN5991327NlD586dadOmDeCmnj948CAAw4cPp27dutStW5cRI0YAEBUVRe3atXn44YcJCgqiQ4cOnDp1KsH+wsLC6Nu3Ly1atODaa6/l22+/BVziPGDAABo3bkxwcDAfffQR4KZvbdOmDb169aJevXoAFClSBHBfbAYMGEDdunWpV68eU6ZM8S1//PHHqVOnDp07d+bPP//07d+/1X7s2LFce+21tGrViocffpjHH3/cF2NcS7f//gDeeustX4xx58sYY4wxl68c3XL91FOwcmX61hkSAl7+mKi1a9fSsGHDRMsiIyMTlFWvXp3jx49z7NgxihUrlmS977//PgBr1qxhw4YNdOjQgU2bNvHhhx/y5JNP0rt3b86ePUtMTAyRkZEMGTKE3377jTJlynD48OFUH9+QIUMoVaoUMTExtGvXjtWrV9O/f3+GDx/OrFmzqFKlSrz1IyIiGDt2LIsXL0ZVadq0Ka1ataJkyZJs3ryZSZMmMXr0aHr06MFXX33FPffck2CfUVFRzJ8/n61bt9KmTRu2bNnC+PHjKV68OEuXLuXMmTPxvpQsWbKEtWvXJhjG7euvv2blypWsWrWKgwcP0rhxYxo0aMCaNWvYuHEja9asYf/+/dSpU4c+ffrE23bv3r0MGjSIiIgIihcvTps2bQgNDU32XM2ZM4fNmzezZMkSVJWuXbvyyy+/0LJly1Sfb2OMMcakbO9eyJ0brrgiqyNJWY5Ori81qprkKAkiwuuvv87hw4c5dOgQn3zySbzyBQsW8MQTTwBQq1YtKleuzKZNm7juuusYMmQIu3bt4vbbb6dGjRrMnTuXO+64gzJlygBQqlSpVMc4depU/ve//3H+/Hn27t3LunXrCA4OTnL9BQsW0K1bNwoXLgzA7bffzq+//krXrl2pWrUqISEhADRs2JCoqKhE6+jRowe5cuWiRo0aVKtWjQ0bNjBnzhxWr17tazE+evQomzdvJl++fDRp0iTR8ZEXLFjA3XffTe7cuSlXrhytWrVi+fLlLFq0yLe8QoUKtG3bNsG2ixcvpnXr1pQtWxaAu+66y9dPPilz5sxhzpw5viT8+PHjbN682ZJrY4wxJp1VrQpnzkBsLFzqA07l6OQ6uRbmjBIUFBSvC0Fg2S+//BJv2bZt2yhSpAhFixZl4MCBnDhxgltvvTXBtkk99NirVy+aNm3KrFmz6NixIx9//HGySXxytm/fzrBhw1i6dCklS5YkLCwsxbGIk3sYM3/+/L73uXPnTrRbCCQclk1EUFVGjhxJx44d45WFh4f7Evm0xJKa85HUOnny5CE2Nta3j7Nnz/reDxw4kEcffTTFuo0xxhhzcaKiXGINEB4OXg/VS5b1uU5nbdu25cyZM4wePdq3bOnSpcyfP5/evXuzYMECfvrpJwBOnTpF//79efbZZwHX8tm3b19GjhyZoN6WLVsyYcIEADZt2sSOHTuoWbMm27Zto1q1avTv35+uXbuyevVq2rVrx9SpUzl06BBAqruFHDt2jMKFC1O8eHH279/Pd9995ysrWrQo0dHRicY1ffp0Tp48yYkTJ5g2bRotWrRI5dlyvvjiC2JjY9m6dSvbtm2jZs2adOzYkVGjRnHu3DnfMZ84cSLZelq2bMmUKVOIiYnhwIED/PLLLzRs2JCWLVsyefJkYmJi2Lt3r6+/ur+mTZsSHh7OoUOHOHfuHF988YWvrEqVKkRERAAwY8YMX0wdO3bkk08+4fjx4wDs3r07Xn9uY4wxxvx93uNYAMyalXVxpFaObrnOCiLCtGnTeOqppxg6dCgFChSgSpUqjBgxgoIFCzJjxgyeeOIJdu/ejapy7733+h6c69SpE5UrV2bcuHG8+uqr5Mlz4fL84x//oG/fvtSrV488efLw6aefkj9/fqZMmcLnn39O3rx5ufLKK3nxxRcpVaoU//3vf2nVqhW5c+cmNDSUTz/9NMXY69evT2hoKEFBQVSrVo3mzZv7yh555BG6d+/OVVddFS85bdCgAWFhYTRp0gRwQ9uFhoYm2QUkMTVr1qRVq1bs37+fDz/8kAIFCvDQQw8RFRVFgwYNUFXKli3L9OnTk62nW7duLFq0iPr16yMivPnmm5QrV45u3boxd+5c6tWr53tgMVD58uUZPHgw1113HeXLl6dBgwbExMQA8PDDD3PrrbfSpEkT2rVr52s579ChA+vXr+e6664D3IOOn3/+OVdkhw5hxhhjTDaxcCFUrAglS0IKPTYvCZJZYyxnhEaNGumyZcsIDw+ndevWAKxfv57atWtnbWCpEB0dTdGiRbM6jDTJiJjDwsLo0qULd9xxR7rWG+diY/70009ZtmwZ7733XgZElbLL4f64FH5X/f/tyC4s5syTHeO2mDOHxZy5ataEOnXcA41r18KGDVkTh4hEqGqjlNazbiHGGGOMMeaSdPSoa61u2BCuvRa2boXz57M6quRZtxCTpVLTXSUrhIWFERYWltVhGGOMMZe1JUvca8OGsH+/S6yjouCaa7I0rGRZy7UxxhhjjLkkTZoERYtCy5ZQr9RuyhY9zb59WR1V8iy5NsYYY4wxWWblSvjpJwh8DPDgQZg6Fe699RiFu3Wg4a0V2V+kGjfsnpI1gaaSdQsxxhhjjDFZYutW1yodHQ0jR4I3gBqosrJJsTPKAAAgAElEQVTri4w8sZteC3+HbesBkL17Ydu2rAs4FazlOgf46KOP+Ouvv7I6jEtKdHQ0o0aNSnZiGWOMMcZkrddfB29utgtjWP/xB9x5J+0XvcoDjCX/tvVQqRJs2QITJ8I//5ll8aaGJdcZYN++ffTs2ZPq1atTp04dbr75Zt9U2pGRkbRt25bQ0FBq1KjBK6+8kuoEcMWKFTz00EPxlr388suUKlWKkiVLXlSsn376qW+c7aRERUUxceJE3+dly5bRv3//i9pfeps+fTrr1q2Lt+zs2bP84x//oFWrVhc1U2ViRowYwcmTJ32fb775Zo4cOZIudadV69atWbZs2d+qIyoqirp161709oHnIyk9e/Zk8+bNF70fY4wxOVdsrJsg5rbb4NFH3XjWMes3Qf368NVXAPxVqho89hjMnw/Vq8Pdd0OBAlkcefIsuU5nqkq3bt1o3bo1W7duZd26dbz22mvs37+fU6dO0bVrV5577jlWrFjBqlWrWLhwIR988EGq6n7ttdd44okn4i178cUXufPOOzPiUHwCk+tGjRrx7rvvZug+Uyux5Dpfvnx89tln1KlTJ932E5hMzp49mxIlSqRb/dlNapPrfv368eabb2ZCRMYYY7KbiAg3AkiXLtCiBRw7BtH9/wNHj3KoXiuasYhVX22F996DqlWzOtxUs+Q6nc2bN4+8efPSt29f37KQkBBatGjBxIkTad68OR06dACgUKFCvPfeewwdOjTFeqOjo1m9ejX169cH4MSJE/Tp04fGjRsTGhrKjBkzADeNd2RkpG+71q1bExERweHDh7ntttsIDg6mWbNmrF69OsE+wsLC+PLLL32fixQpAsBzzz3Hr7/+SvPmzXn77bcJDw+nS5cuAEnWO3jwYPr06UPr1q2pVq1aosl4TEwMYWFh1K1bl3r16vH222+zdetWGjRo4Ftn8+bNNGzY0BdHnTp1CA4O5plnnmHhwoXMnDmTAQMGEBISwtatW9m6dSudOnWiYcOGtGjRwvcXg7CwMPr160ebNm2oVq0a8+fPp0+fPtSuXTvekHv9+vWjUaNGBAUFMWjQIADeffdd9uzZQ5s2bWjTpg3gpkQ/ePAgAEOGDKFmzZq0b9+eu+++m2HDhvnOfVwL88GDB6lSpYrvuAcMGEDjxo0JDg7mo48+SnBu/vjjD2rVqsX9999PcHAwd9xxR6LJbNw1Avjyyy99x/LFF19Qt25d6tevT8uWLRNsF3gdEosnbsKBO+64g1q1atG7d29UNdHzMWfOHNq1a0eDBg248847fVPCt2jRgp9++onzl/qgpMYYYzLdt99Crlxw001Qu/JJnuJtSvz0FeTPz6ftJ7A0VzMapThly6UnZz/QmE5dAhJIphvH2rVrfclgoMjIyARl1atX5/jx4xw7doxixYolWe+yZcvi/Rl/yJAhtG3blk8++YQjR47QpEkT2rdvT8+ePZk6dSovvfQSe/fuZc+ePTRs2JAnnniC0NBQpk+fzty5c7nvvvtYuXJlqg536NChDBs2jEmTJlG0aFHCw8N9ZYMGDUqy3g0bNjBv3jyio6OpWbMm/fr1I2/evL5tV65cye7du1m7di0AR44coUSJEhQvXpyVK1cSEhLC2LFjCQsL4/Dhw0ybNo0NGzYgIr51u3btGm+Gx3bt2vHhhx9So0YNFi9ezNNPP838+fMB+Ouvv5g7dy4zZ87klltu4bfffuPjjz+mcePGvv0NGTKEUqVKERMTQ7t27Vi9ejX9+/dn+PDhzJs3jzJlysQ7NxEREUyePJkVK1Zw/vx5GjRokOT1jzNmzBiKFy/O0qVLOXPmjO8LV9WAb+UbN25kzJgxNG/enD59+vDBBx/wzDPPpOqavfzyy/zwww9cddVVKXZfSSoecF2RIiMjqVChAs2bN+e3335LcD4OHjzIq6++ysyZM7nyyit54403GD58OC+++CK5cuXimmuuYdWqVSmeF2OMMZeXb76B66+H0qWh4Kj+vM0YV9C9O/M2XUWtWuDXhpRtWMt1JlLVJPsAiwivv/46AwYMoE+fPgnK9+7dS9myZX2f58yZw9ChQwkJCaF169acPn2aHTt20KNHD7744gsApk6d6usysmDBAu69914A2rZty6FDhzh69OjfPqbk6u3cuTP58+enTJkyXHHFFezfvz/ettWqVWPbtm088cQTfP/9974vFw899BBjx44lJiaGKVOm0KtXL4oVK0aBAgV46KGH+PrrrylUqFCCWI4fP87ChQu58847CQkJ4dFHH2Wf32CYt9xyCyJCvXr1KFeuHPXq1SNXrlwEBQURFRXlO2cNGjQgNDSUyMjIBF1OAv36669069aNQoUKUaxYMbp27ZriOZszZw7jx48nJCSEpk2bcujQoUT7JVeqVInmzZsDcM8997BgwYIU647TvHlzwsLCGD16NDExMRcdT5MmTahYsSK5cuUiJCTEd578/f7776xbt44OHToQEhLCuHHj+OOPP3zlV1xxBXv27El17MYYY3K+I0dgxQro1AnYvJlCE8f4yjTsASIiyJat1pDTW66zYKSIoKCgeF0rAst++eWXeMu2bdtGkSJFKFq0KAMHDuTEiRPceuutCbYtWLAgp0+f9n1WVb766itq1qyZYN3SpUuzevVqpkyZ4vsTf2IPTQYm+nny5CE2Nta3/tm4x3eTkVy9+fPn9y3LnTt3gq4BJUuWZNWqVfzwww+8//77TJ06lU8++YTu3bvz0ksv0bZtWxo2bEjp0qUBWLJkCT///DOTJ0/mvffeY+7cufHqi42NpUSJEvFa5KOjo33v4+LJlStXvNhy5crF+fPn2b59O8OGDWPp0qWULFmSsLCweOc8KUl9YfI/n4HXbuTIkXTs2DFN9Sa2H/9l/vv48MMPWbx4MbNmzSIkJISVK1f6zmOgpOIJDw9P8RrGbX/jjTfyv//9j6JFiyYoP336NAULFkziKI0xxuRknTtD+fIwenT8DgWRS08yjr50+18EPO8aspbkb8FvTf5Jjzrt2bfPzcqYHVnLdTpr27YtZ86cYfTo0b5lS5cuZf78+fTu3ZsFCxbw008/AXDq1Cn69+/Ps88+C7iW1759+zJy5MgE9dauXZstW7b4Pnfs2JGRI0f6ktsVK1b4ynr27Mmbb77J0aNHqVevHgAtW7ZkwoQJgEuaypQpk6AbSpUqVYiIiABgxowZnDt3DoCiRYvGS1L9pabepBw8eJDY2Fi6d+/OK6+8wvLlywEoUKAAHTt2pF+/fjzwwAO+c3P06FFuvvlmRowY4Uug/WMrVqwYVatW9bXcqypr1qxJVSwAx44do3DhwhQvXpz9+/fz3Xff+cqSOgctW7Zk2rRpnDp1iujoaL755htfmf/59P/C1bFjR0aNGuU7v5s2beLEiRMJ6t6xYweLFi0CYNKkSdxwww0J1ilXrhzr168nNjaWadOm+ZZv3bqVpk2b8vLLL1OmTBl27tyZ5HGnNh5//uejWbNm/Pbbb2zduhWAkydP+vq6x9UXFBSUbH3GGGNynn37YPZsGDMG/P6LAuD0Z19wH59RdMeFvxCPqT2MaXTD+6/TkmvjiAjTpk3jxx9/pHr16gQFBTF48GAqVKhAwYIFmTFjBq+++ioNGjSgXr16NG7c2DcUXqdOnYiNjWXcuHEJWghr1arF0aNHfQnNCy+8wLlz5wgODqZu3bq88MILvnXvuOMOJk+eTI8ePXzLBg8ezLJlywgODua5555j3LhxCWJ/+OGHmT9/Pk2aNGHx4sUULlwYgODgYPLkycP111/P22+/HW+b1NSblN27d9O6dWtCQkIICwvj9ddf95X17t0bEfH1/Y2OjqZLly4EBwfTqlUrXxw9e/bkrbfeIjQ0lK1btzJhwgTGjBlD/fr1CQoKYpZv0MyU1a9fn9DQUIKCgujTp4+vSwbAI488wk033eR7gC9OgwYNuOuuuwgJCaF79+60aNHCV/bMM88watQorr/+et/Dj+C6vdSpU4cGDRpQt25dHn300URbhGvXrs24ceMIDg7m8OHD9OvXL8E6Q4cOpUuXLrRt25by5cv7lg8YMIB69epRt25dWrZs6XsQNjGpjcef//koW7Ysn376KX369PE92LphwwYA9u/fT8GCBePFZowx5vIwZ86F9/F6Np47x7WzRwCgN94ITZvCXXdxvHZjdu2CZcvcg44hIZkbb7pR1Wz707BhQ1VVnTdvnsZZt26dZgfHjh1L8zbDhw/X0aNHZ0A0qXMxMV+st956S59//vm/XU9mxqyqOmjQIH3rrbf+dj1r1qzRoKCgdIgo8yR2rocPH64ff/xxoutfCr+r/v92ZBcWc+bJjnFbzJnDYk6dBx9ULV1aNSREtUMHb+Hq1apVq6q6zruqUVG+9f/zH9U8eVTbtFG9FP8LBJZpKvJTa7nORvr16xevD2xO1a1bN8aPH8+TTz6Z1aGYv6lEiRLcf//9WR2GMcaYLLB5M9SqBXXrQmQkcPw43H47bN9ONEVY2qgfVK7sW79lSzh/HubNy75dQiCnP9CYwxQoUMA3MkdONi2wY1Y2Mnjw4HSpp3Llyr4hCrOzuD7zxhhjLj9bt0K7dlCnDnz+OZzp25/8W7ZwqGIwFXf9zqLR8R929+tZSQrP/F/SLLk2xhhjjDHp6tQp2L3bzVgeFAR3MZn8E8ZCgQIMazCJEucLEvg4UKFCbnbzAwfca3aV4d1CRCS3iKwQkW+9z2+JyAYRWS0i00SkhN+6A0Vki4hsFJGL/s6iWTAEnzEm9ex31Bhjsr+ICFiyJPGy7dvda1CZ/bT+qCeT8bLlt99mdlQdQkMTn+tv4kT3IGRGzQOYGTKjz/WTwHq/zz8CdVU1GNgEDAQQkTpATyAI6AR8ICK507qzAgUKcOjQIfvP25hLlKpy6NAhChQokNWhGGOMuUjHj0OzZm6gj6+/Tli+YAEIsbQbfx9Fvp0CwC/Bj3P2gUdZv54Erdb+snNiDRncLUREKgKdgSHA0wCq6jcwC78Dd3jvbwUmq+oZYLuIbAGaAIvSss+KFSuya9cuDhw48HfDz1CnT5/OdsmFxZx5smPcaYm5QIECVKxYMYMjMsYYk1G++MI9fAiwfLl7TjHOn3/C44/Dq+U/oMTiOVC0KP8oP41NZdvxfxvg3Lnkk+vsLqP7XI8AngUSTtvm9AGmeO+vwiXbcXZ5y+IRkUeAR8BNoBEeHs7x48cJDw9Pr5gzxfHjxylSpEhWh5EmFnPmyY5xpzVm/ynSs0p2/bfDYs4c2TFuizlzWMwwZkxdypcvTO7cyoIFxwkP9yaDiY1lwY9FeejcUv6z9wkA1v7rX2xbFMSKpWeYPHkbUJszZ5YQHn4y3eK5pKRmvL6L+QG6AB9471sD3waU/xeYBoj3+X3gHr/yMUD35PaR2DjX2YXFnDmyY8yq2TNuizlzWMyZJzvGbTFnDotZtVIl1V69VLt0Ua1Xz1v47beq5ctfGMMaVCtXVo2N1bfech/DwlQLFFA9dy5dw8kUXALjXDcHuopIFDAZaCsinwOIyP1e8t3bCxZcS3Ulv+0rAnsyMD5jjDHGGJOI556DTz5JuPzECWjQAHbuhNBQqFkT/th0Bm1/I3TpAnv3xt+gWTMQISjIfZw0CerVgzw5eLy6DEuuVXWgqlZU1Sq4BxXnquo9ItIJ+DfQVVX9/x4wE+gpIvlFpCpQA0jiGVRjjDHGGJMRFi+GN96ABx+En36KX/b997BxxQnAJdfXXgu9z4xBfnYrbmv7EK/wPAfrtIQaNeDFFwF8yfWZMzm7vzVkzTjX7wH5gR/FPQ76u6r2VdVIEZkKrAPOA4+pakwWxGeMMcYYc9n66KML75cvh/btL3w+OfRdjvI0/1fwBZqUuZdmfTrzCBt8G/5n7iP8WgH+sxrwG/Otkl/fhGbNMjT8LJcpybWqhgPh3vtrkllvCG5kEWOMMcYYk8lU4bvvoGdP12q9datf4ZIl3LvsSQD+feU4eOcP2OES6x01b+Tqhx5i5XBo0gRyBwymLAJ33gknT0JYWOYcS1bJwT1ejDHGGGNMoP37oUQJyJ8/Ydn69bBvn5u2fPt22LIFl3HPns35f/37QuK4fbtvppipeXqx9Ib3GHQyF5s2Qa9eie936tSMOJpLT2ZMImOMMcYYYy4BZ87AlVfCPfckXv7dd+61XTu45hqv5frjj6FLF/JsjOQAZeJv0K8fw0InsPKPkqxZ4/LwkJAMPYRLniXXxhhjjDGXid9+c69ffnlhEpg4MTEwahRcfz1UrQrVq8POHUrsiHcAOFG4LG2Yx6l/Pe/6fXz0EXzwAbVqwbp1sGKFqyc0NBMP6BJkybUxxhhjzGXihx8uvF+wIH7Z8uWupbpvX2D9eh796kZ+0+vItS4SrrySvp13EX11XQq+9TIcOgSPPAJA48awZw988w2UKgWX+wS8llwbY4wxxlwmFixww+cBrFoVv2zF7L2M515u3fgm3HILFSJ/ohmLXeHrr7N8bT43jJ4IFC/u2+76693r99+7Vms3GNzlyx5oNMYYY4y5DMTGwpo1cN99cPAgbPBG0OPcOdi8mRqfvEkbPo83btsSGnO+SzdCe9zPhgehe/eE9dav7x6OPHPG+luDtVwbY4wxxuQYZ8+6hwoTExUF0dEuGa5Vy40MQnQ0tGkDQUG02THOrdiyJfTqhf6+mLaFlzCl2kDWRgqxsYknz3nywGuvue4gnTtn1JFlH5ZcG2OMMcbkAKdPuxZkb1LEBFavdq/BwVC7NpyIjHJPLcY95Qgsv+m/MH8+TJiANG1C9equH/by5a48qZbpp592U6K3aZN+x5NdWXJtjDHGGJMDxPWhfvXVhK3XqjB2rEu+69Z1Ldf/PPgfOHAAChViRdcX6cUECrz1SrztrrkGNm50fbXLlXOjiJjkWZ9rY4wxxpgcYOnSC+8jI10SHScioiQzZ8IHL+ylcIvOPOONmxebLz+51q1j5EuV+aEUfF47fp2hofD1166Pdrt29rBialjLtTHGGGNMDrBkyYX3cV1AAIiNJd/73zC6wBM8+kW7CwNSA0tvH4peXZnvv3ddOnIFZIZNmrjXI0fghhsyLvacxFqujTHGGGNygKVL4cYb4aefvGnLPec+Hkf/qBfchw1A/vzETJ7KbXfmo3bFjuRdAXv3wi23JKyzUaML7++4I0PDzzEsuTbGGGOMyeaOHnV9o3v3dkPs+ZLrbdvguX/HX/n998l9W1eiaoFshHnz3OJOnRLWW6oUtG3rHoK83CeHSS1Lro0xxhhjsrmICPfQYpMm8PPPXnK9aRN06kTevw7wI+2pFTGRSscioXVrwPXJXrgQSpeG8uXdA4uJ+fnnTDuMHMH6XBtjjDHGZHPff+9eGzVyI3xUj5wJNWvC9u3sL3YNDxSdTMXQsr7EGqBpU9ixA+bMgaCgrIk7J7KWa2OMMcaYbGD/frjiioQjdkREwLBh8Ei3A5S6/U5e2XqCK48tc4WNG/P4iU+5sqAk2O6669zrnj3Qo0fGx3+5sJZrY4wxxphL3MGDcOWVburyQN8MWkav/F/y7lVDYf58rtzlEuvDDdoRs3Ax326rQ7VqJxJsFxp64b21XKcfa7k2xhhjjLnEffede/38c3juuQvJ8Ln5Cxk8q7n78J570dy5OR2Tl9mt36LJNuH0aRJNrvPlgxkzXL/r22/PhIO4TFjLtTHGGGPMJW7WrAvvV6703gwaRN7WzeOveNNNyJkz1C+7l58OhbJmjVtctWrC5Bqga1cYOtSNCmLShyXXxhhjjDFZ6Px51xq9dWvi5WfPugcW77kHcueG9etxs7q8/LJvnd0vjIInn4TJkyF3bqqGlmD1alizxvXRrlw58eTapD/rFmKMMcYYk4Xmz4c33nBD3vlPYR7nl1/cONZ33OFmYdywARg/3lfeKfePfPNCe8h7YZvgYHj3XahUyY0eUqBAbMYfiAEsuTbGGGOMyVLffONeIyLgxAkoXDh++cyZUKCAm32xVi3YE/kXzH8FgFdCvmJvbHvy5o2/Tf36rsV75kzrT53ZrFuIMcYYY0wWmjPHvaq6BNufqnvo8MYboVAhqF0b/rmpLxw8SOwNLXhzczeuvz5hnfXrX3hfr17GxW4SsuTaGGOMMSaLnD3rJlLs3dt93rgxfvn8cGXHDrj1VuCrrxj6hnBn7FRiCxdhxRNjOX5CaN8+Yb21al14HxycYeGbRFhybYwxxhiTRTZvhpgY6NjRdf3wT67Phy+gZvtKbMhbl3uWPRVvppf1d73ED1uqA9CmTcJ68+aFFSvggw+gS5eMPgrjz5JrY4wxxpgM8u67bvKX2bMTL1+/3r3WrQs1angPKwLMmYN0uZnysbupeS6S/B++A7GxxJYqzbO8wfc1nmDDBvfAYlLD6IWEQL9+bjxrk3ksuTbGGGOMySAvv+ymLR80yPWfDrR+vRsqr2ZN15Vj40bgk0+gY0dyn4hmD+U5Xa+Ry6BbtybXrp2ML/cs6zbnZcsWNxKIubRYcm2MMcYYkwFOn4ZDh6BcOVi2zHUB8XfqlJtxMbj2OQpNn0jffYNZtqU4PPggALMaPE9QsV3kX7XUVTR3LhQsSFAQrF7t6qtRIwsOzCTLkmtjjDHGmAywa5d7vfVW97ptW/zyd96BTZuU2RUegt69afvrSxTnmCvs3p1B8goNG+dCxNvAe9OokUvWDx60lutLkSXXxhhjjDEZYOdO93rDDe41KsormDOH8z17E/af8pzJVZAKP42HPHmIDrmBX7mB8KG/c+bTSaxe7RLpQP7LrOX60mOTyBhjjDHGZIC45LpJEzd6R1QUbpaYW24hz9mzXAkQ1w/73/9Gn32VlsXhtVgosgHOnUs5uU5sjGuTtSy5NsYYY4zJAHHdQq6+GipX9pLrzz5zg1t7zl9djTzRf8Fjj1GsGFSo4B5qLFnSlSeWXFepAo884qZDv+KKjD4Kk1aWXBtjjDHGZIBdW06zKvf1FLz7ahqXe5ft2yvCqncA+L7O07yy72EWbK4O58765jyvWdMl13nyQOnSLikPJAIffZSZR2LSwpJrY4wxxph0duYM7Ph6GcExK2DGCiYyg3EF+8KpDXDVVQyIGUqlpnmRfEC+vL7tatWCSZPg5EnXau17mNFkG/ZAozHGGGPMRdi6FYKC3EyIgb77Dq45uizesvtPfQjAgZ6Ps3ZjXjp1SrhdzZpw5AhJPsxoLn2WXBtjjDHGXIS+fWHdOhg/PmHZivlHGcYz7sPjjxOb23UWiM2Xn0mFHwbgttsSbler1oX3llxnT9YtxBhjjDEmjc6dg/nz3fvEWq6bTX2aPMS4Dw88wOaSzYh4ZRa1/30nCzeWplo196BjoJo1L7xv1Sr94zYZz1qujTHGGGPSaNs2l2CXKgWLF7s+1gD89Rfarh037fnEfb71VggJofAjvenNRJZc1Y0tW5Ien7pyZRg4ECIiLowYYrIXS66NMcYYY9Jowwb3+vDDbprziAiv4N57kblzAdhX7TqYPh1y5aJ8+QtjXSc3bbkIvPYaNGiQ4YdgMogl18YYY4wxAQ4ccH2q4yaCCbR+vXt92HWf5tdfgYULYdYsAGbKreT/5EPf+rlzu1bphQvh2DGbtjwns+TaGGOMMSbA88+7saSffDLx8vXr3YQv1au7hxB/+QV4910A3in8Hz7rPp2SrYLjbdOsmbcellznZBmeXItIbhFZISLfep9LiciPIrLZey3pt+5AEdkiIhtFpGNGx2aMMcYYE+j8+QsjgEyf7obGC7RsGQR7uXPjxrBp1Sn49lsAhp94hKZNE27j/4BinTrpHLS5ZGRGy/WTwHq/z88BP6tqDeBn7zMiUgfoCQQBnYAPRCR3JsRnjDHGGOOzbZvrR921K6i6z/6io/NwYN2fTF50NVSvzpCfm7J5dyE4cYLoWo3YQeVEk+c2bdzrdddB1aoZfxwma2Roci0iFYHOwMd+i28FxnnvxwG3+S2frKpnVHU7sAVokpHxGWOMMcYEWrfOvXbu7F63b49fvnp1cR7lI4of3QnbtlFpzxJf2bJmjwNucplA1avDjz/CnDkZEbW5VGR0y/UI4Fkg1m9ZOVXdC+C9XuEtvwrwf2xgl7fMGGOMMSbd7NwJN9yQ8sOKN9/sXn0t16qcn/wl9V8bzCu8mLDeewcyveh9FC4MlSolXnf79lCkyN+L31zaRFUzpmKRLsDNqvoPEWkNPKOqXUTkiKqW8FvvL1UtKSLvA4tU9XNv+Rhgtqp+FVDvI8AjAOXKlWs4efJkjh8/TpFsdqdazJkjO8YM2TNuizlzWMyZJzvGbTGnzvjxlRk7tiq33babJ5/cnKD8tddqsXJlCaZO/Z2uXZvTps2fPN1/A9e8+y5XzZzpW+9YrVqsHD6cYwv2cMtrD/LCC+uYPftKTpzIw6hRyzPzkFKUHe+NS02bNm0iVDXleTNVNUN+gNdxrc9RwD7gJPA5sBEo761THtjovR8IDPTb/gfguuT20bBhQ1VVnTdvnmY3FnPmyI4xq2bPuC3mzGExZ57sGLfFnDr9+6uC6o03Jl4eHKzasaOqxsZqy5AjenPH86o9e6qCns2dXxdJU42pWUt1+XJVVT161NX3xhuqFSqo3n9/ph1KqmXHe+NSAyzTVOTAGTb9uaoO9BJm/Fqu7xGRt4D7gaHe6wxvk5nARBEZDlQAagBLAus1xhhjjPk7Vq92r7/+CmfPQr58F8pOnYJta08yLuYRKPs98w8dulBYuDD3l/qebRVq8/vvpX2LixWDEiVg5UrYsyfx/tbm8pEV41wPBW4Ukc3Ajd5nVDUSmAqsA74HHlPVmCyIzxhjjDE5lKpLrosXdyOCxD28GGf1agiLHUNI5ATwS6y1VCmOf/olk3beQN26RxPUW7cuTJrk3tswe5e3TEmuVTVcVbt47w+pajtVreG9HvZbb4iqVlfVmjmzA9IAACAASURBVKr6XWbEZowxxpjLx9q1cPiwm30RYMWKC2VnPv+CU527M5L+bsFdd3GibBWiqMzaqeuJKNsJgBo1jieot5FfT9y6dTMqepMd2AyNxhhjjLlsfP+9e33sMTdqx/LlQEwMvPwy+e/tQetDX7sVKlSACRP446fNXMsmVu+7gpUrXVFyyXXevG6ac3P5yrA+18YYY4wxl5KYGJg8GerVc0PlhdRXJDwcGv8rfhM2uHnPc+fmmlqgeSAy0vWnvvJKKFXqbIK6m3gzczz1VMYfh7m0WXJtjDHGmBzj++/hnnvgt9+gZs34ZRMmuJbqGa9FQvcXeX/HGYJ3znKFhQvz0jWfsfx0HWb0meHLkvPlgxo1XN/sqCgICUl8vzVquP7a9jCjsW4hxhhjjMkRYmLgttvcc4hxDxf6+3l6NDdesYpbVr8KX3/tS6y1QAF03HhG/NGNci1rwrPPxhtCJCjINWxHRkJoaNL7r1cPcllmddmzW8AYY4wxOcLOnXDmjHs/a9b/s3ff4VVUWx/Hvzuhl1BDRHoPvfcmRcSCCiIiXguiIGAFGxZsF1FU4JWqKIqNoqAgRUB6b6ETAgGU3kuAQAjJfv/YCSfJOUH0JpGQ3+d5zjNzZs/M2cNzlXW3a9ZKPGZjLY/PuI85R2tgJky4cvw+fmLVggvsrNqB06ehfn3v+1aqBHv3wuXLya9ci8RTcC0iIiI3hJ1xzRZbtYK1a+H0ac/Y4U8n0fzSXM+BEiXYERrDFO4jLAxWx3XWiM+dTihhab2rrVyLgIJrERERuUHs2OG2jz7qtmvW4Apb9+5N4Rc6A3C+TjNo1w4GDaJUGT8yZYLt211wnTOn7xrV8ZVA2raFsmVT/zkkfdMLjSIiInJD2LnTBcjt2rnvq5df5tb5b8LIkQAMzfoKz64cCP4GgMxAmTIQFgYHDrgg2t/f+75lysDRo1CwIBiTRg8j6ZZWrkVERCRdiI6GhQvdYrQvO3e6leW8eSE4GKqO6wsffADAiELv8NstH+Dnnzg6rlABNm92rct9pYTECwxUYC3XRsG1iIiIpAtDh0KLFvDjj95jsbEutaNlyd1w9iw9A77nrj3DAIhu3ZZ+R1+gUSPv6ypUgPBwuHTp6sG1yLVScC0iIiLpwvTpbvv++95j69dDqeOr+fjX8hAQwLOr/4MflssDPmDhy7M4S24aNvS+LmEtbAXXkhIUXIuIiMi/7vBhl8ERE+N7/Phx1xgmd27YuNE1dIkXc+Yc857/lR58hl+s5waDeImd7V9hxQqX0uGrzF6VKm7bsiUUL55yzyMZl4JrERER+dd17w79+sG8eb7Hp051gfeoUe77lfNOneJsnRa8vPRuujHWHRsxgj2vjaEfAwkLg1WrXCOYgADv+9ar54L22bNT/JEkg1JwLSIiIv+q2FhYvtztx6d+JPXTT1CqFHTpAjfdBAcmLoXataFMGfKGr/Wc2LQp9OxJ/pefIBZ/tm93rcurVfN9X2OgUSPIpPppkkIUXIuIiMi/avNm17IcYOZM7/GtW93K8n/+44Lhe0ps4I25zSAkBE6dYnf2SrwdPAHeftu1ZjSGPHmgZElYsgT+/NNVDxFJCwquRURE5F+1YoXbdu0Ku3bB+fOJx997z9Wvfu45YNcuRq+qiR8W8ufn4tZdVLy0iegOD8Bbb7mk7Dj167tg3VoF15J2FFyLiIjIv2rFCihUCO64w30PC/OM7R23gGcmNmZu+d4UiD4MffpcGYt670M2nSvNpRh/6tb1vm/CFxgVXEtaUYaRiIiI/KuWL4cGDaBiRfc9NBRq5dsDvXtTfNYsigOELIfCrtNiTOasVIreyM+3VGDDUndNjRre923TxrOvtuWSVrRyLSIiIv+agwezER4OrVpBuXKu/fjuDRGuW8ysWZ4TK1d228BAto5YxA4q8Mcfrr51njxQooT3vStXdmkma9dC9uxp8jgiCq5FREQkda1b515GvHDBe2zVqgIA3BMcRpbhg2lbdAsPj2nq3kIsWpTPCr5G9xY7XT29ESNg+XIC73L5HuHh7p3G6tWTb01eurQrKiKSVpQWIiIiIqmqSxfYscOtJPfrl3hs44YAXss/mhIdX4azZ7lSia9YMc7/PIeedYPp3wzICfTqBcBNFooUcbWu16+HF15Iw4cR+QtauRYREZFUs2mTC6wBRo/2Hn9o3X8ZcLInnD175dgZAohetJzFR4OxFpo0SXyNMXDLLTBtGkRHQ+PGqTd/kb9LwbWIiIikmvimMH37wt69nnrWAKd3neDR85+5Lz/8ADExzH9+Gk1Zwq6ooixYAFmyuCYvSbVo4dn3NS7yb1FwLSIiIv/YwYMwZoyrJe3LzJku57ltW/d9w4a4gePHOff862QhmuO128CDD4KfH7m7tGMz1QgNhQULXBWRHDm879upE7z4IvTvDwULpsqjifwjyrkWERGRf+y//4VRo9z+k08mHrt40b2H+OKL7qVDgD1zdsJ378PXX1M07rxsfXpduSa+HF9ICGzcmKisdSK5c8NHH6Xcc4ikFK1ci4iIyD925IjbfvKJ99jmzXD5MtSpA4GBUPamc7QbdTt8/TUAm3I2pFvJqeTqcs+Va3LlgjJl4PvvXT61Kn1IeqPgWkRERP6xbdvcdudOiIpKPBYSAmCpVQsIC+PnyNsIOrsLgOha9Wh+fga0rOp1z2rVYM8et6/gWtIbBdciIiLyj0RFuaC6TBmIjfVUBYm3ZtohDpvClGxSBKpWpUrEcg6YItiwHSwYuIrT5KNKlTNe961UyW1z5YJSpdLgQURSkIJrERER8enSJU/ahy9btkBMDNx/v/v+55K9MGQInDjB9rcn8MXMmwmyRzAHD0J0NKG1H6KWXcexvOVYv95dU6bMOa/7xlcC+eqr5JvDiFyv9EKjiIiIeDl5EurVg0OHYOtWKFnS+5xp01zw27MnDBoElT5+HPbMgz59CE544rvvwh138MeRWhy90xAW5qqGlCgBAQGXve7bqpV7GTJr1tR6OpHUo+BaREREvMybB7tcejRvvgnffpt4/OuvXczcrBkUP72Jd/P+Tuk987xvNGoU9OgBxlDpT3doyxYXXNeokfzvK7CW9EppISIiIuJl2za3Kt2pE8yZk7iOdXQ0vPnKJTIRzfsd1kKDBrx+sq8bvP9+7LZQPsnxBq/cvxueeupKbkfx4q4m9cKFEBZ29eBaJL1ScC0iIpIBHTwI8+cnPx4a6lJBmjWDo0dh/37P2Ja+X7H9aD4iAsvQeOKzcOECABOzPAzDh7M/VzAvRr5HsWaJ30Y0BurXh0mTXLCu4FpuRAquRUREMqAaNVxu87FjvsdDQ11Dlzp13Pc1a3BvNz75JDWHPU5OIsl+bB+sWAHAyLeO0PnSN5zMVIjFi901vtqS16/v2a9ZM+WeR+R6oeBaREQkg1m92hNUT57sPX7hgkvbqFjRdVb094fYcd+6NxC/+ML7gnLluLlGIcDlaS9YAHnzeroyJtSpk2e/ePEUeBiR64yCaxERkQxm1Sq3zZ0bpk71Hv/+e7gUFcuD5daSjYv0yz2cjtMegagoYhs14Sn/Mbzb6zBUqOAuuPPOK7sbN7rgunlzF5QnVaECrF0Lv/6qMntyY1K1EBERkQxm61bIlw/atYO5c73Hx42DT4I+ovZTr8JT8F78QP78rB28mM8aGH5qCXwUAjNmQJs2BAdA0aIwciTs3g3PPZf876vrotzItHItIiKSwWzdCpUrQ9Wqro71iROesYgIaLnsPV448qr3hc88w6rVbrm5fn0gRw7XQSZPHoxxwXp8c5j4RjAiGY2CaxERkQzEWk9wXaWKO7Z1KzBxIrz2GlHNbuUd299zQefOfNhjNy0zLSb21ddYtQoKF4YiRbzv3b27Z79y5VR9DJHrltJCREREbjA//uiatPTpAwUKJB5btgxOnXJVQFxwbWHESJj0NACBcefFVqyE389ToEIFco2ABZdLcfS0y9euX993vnSNGu53z58HPy3fSQal4FpEROQGMn++pyLHzp2upnRCAwZAlfwHeTRsOJkul2BslhCaTfr8yvjMLPeys05nnlvaKVHzF3CBc3g4dOuW/O/7qhAikpEouBYREbmBxFcCad8eFi92aSDxq8zbJmyixm8z+Dnbh2T++AwAXYFYDH6fjWZZpSe5s6lh0vNAgpXp+BSPYcPctl69NHkUkXQp1f6jjTEmmzFmtTFmozFmqzHmnbjjNYwxK40xG4wxa40x9RJc088YE26MCTPG3JZacxMREblRbd/u8qFbtnQ9X650Vjx9miJPtGUgr5HtogusqVWLUzmL8H6297BPdmftOhdRN2mS+J6lS0OlSjBzpgvU4xvLiIi3qwbXxpiixpgXjTFTjTFrjDGLjTEjjTF3GmP+KjCPAlpaa6sDNYC2xpgGwCDgHWttDaB/3HeMMZWAzkBloC0w0hjjo0KmiIhIxrVokfskZ/t2CA6GunXd9zVrgNhYeOop8pw/5A4GBrr8kHXr+P6D/bx58XUOHXKVPoKC3AuLSbVv77ZVqkBAQIo+ksgNJdm0EGPMV0ARYDrwIXAUyAaUxwW/rxtjXrXWLvZ1vbXWAufivmaO+9i4T/w/lnmAg3H79wATrLVRwB5jTDhQD1jxj59ORETkBjJ3LrRp4/YvXoSsWROPW+uC64cfhmrVoDw7yD9sPAyeC8uWcZZcDOmylv7fV7hyTXzFkC1bICQEatXy/dsvv+zSQ9SyXOTqrpZz/Ym1douP41uAKcaYLMBVG5fGrTyvA8oCI6y1q4wxzwOzjTEf41bOG8WdXgRYmeDy/XHHREREBFiZ4G/JJUugdevE4zt35iIiwgXB2dctZZXf3eRdeAqAmFwBdDw3ic6tKyS6Jj6fevly2LYN7r7b928HBMCDD6bUk4jcuIxbYE7lHzEmL/Az8AzQHVhkrZ1sjOkEdLfWtjbGjABWWGu/i7vmS2CmtXZyknt1j7sHQUFBtSdMmMC5c+fIlStXqj9HStKc00Z6nDOkz3lrzmlDc0471+O8Bw4MZvnyAkRF+dO+/QF69tyVaLxfv2D8Nu3j5+CnKRSyOtHYhA6DeXDKC4wZs4ayZc8nGuvQoRGXLxvOns3MkCHrqVHjTKo/S7zr8c/5r2jOGVOLFi3WWWv/+o0Da+1VP8BdwHrgJBABnAUi/uo6H/d5C3gROIMnqDfx9wL6Af0SnD8baHi1e9auXdtaa+2CBQtseqM5p430OGdr0+e8Nee0oTmnnetx3g0bWnvLLdY2amRt8+aJxy5dsrZk1n32eO4S1roMEbul6G22Tt6d1s6cafv2tTZrVndeUi1bukty57Y2KiotnsTjevxz/iuac8YErLXXEPNeS7WQocCjQAFrbYC1Nre19i9fZTDGBMatWGOMyQ60Brbjcqybx53WEtgZtz8N6GyMyWqMKQWUAxL/324REZEMbOdOKFvWVe7Yti3x2Obfj7AnqhgFzv555VjIfQNYe7ospxrcTkiIy8POnNn7vmXKuG3nzpAlSyo+gEgGcC3B9T5gS1zE/ncUBhYYYzYBa4C51trpwJPAJ8aYjcD7xKV4WGu3ApOAbcBvQG9rbczf/E0REZF0a/p0ePdduHDBe+z0aTh+HMqVc8H1sWPuA8DEidS64ybPyZ06wcaN5L6lNuCC8pAQqF3b9+++/rqrYT1iRMo+j0hGdC1NZF4GZhpjFuHK6wFgrR18tYustZsAr3eKrbVLAZ//eFtrBwADrmFOIiIiN5TLl6FLFzh71gXSg5P8Lbt0KVRlE12WjGLng/2BwoSGQuDqGfCf/wAQgx/+v06F228Hf3/KxRW0nT0bzpxJvhJIiRLw9NOp92wiGcm1BNcDcCX1sgH6j0UiIiKpYMYMF1iDqwSS1OzZ8IVfd4pOX0WhXcvJz3xyDBoGcwfC5ct8w8NsuK8Hg+9qfOWaMmVc05eJE9335FauRSTlXEtwnd9a2ybVZyIiIpKBLV4M2bJBjx4wejRER3vyoy9ehN8nn2FYrOttniV0EycoCDPceGibZ3l0zlDGtF2b6J7ZskHRorB1q7tXfNk9EUk915Jz/bsxRsG1iIhIKgoJgerVXWfFqCjXDIaLF2HxYnbe2pMNhwp5Ts6dG4BD2UrCN9/wReWhZMtmKFUq0uu+Zcu6bdWq3k1nRCTlXUtw3Rv4zRhz0RhzNu4TkdoTExERyShiYz3dEWvUcMcufTDY9SJv3pyqS0eTlUsuOl64EHbvZmiLqbTKGwIPP8zGTYYqVcDf37v2QPbsbtu1a9o9j0hG9pdpIdba3GkxERERkYxq0yaIiHDBdbnLoUzmDWr/MAWAmEpVGRXanCK3V6f9+3Xd8jYQddvdhC5wLypu2ADt2/u+98CBrpNj795p9TQiGdu15FxjjOkANAEssMRa+0uqzkpEROQGM2+eq03drRvkyJF47K23IE8e6FB9F1ka1aEDkcQYf/y/HMP0/F155l5Y+DJQ3XNNpUpu+/vvcOLElZjbS7Vq7iMiaeMv00KMMSOBp4DNwBbgqbhW5SIiInINLl+GBx6AZ5+Ft99OPHbkCMz7NZK3HtxB/ic6QGQk6/K35r5q4dC1K0uXusYuDRokvi4+uB4/3m2TC65FJG1dy8p1c6BKfBMZY8w4XKAtIiIi12DGDLe6DC5l+ort2znefSgn7FdkHX3JHQsIYMqdY1k8vRgAK1e6dJGkLyOWLOmOTZ7svlerBuvXp+ZTiMi1uJYXGsOA4gm+FwM2pc50REREbjyzZ7sCH336uPzoqCggMhLataPyks/cy4rg3mbcuJGCNYtx6hQcOgRr10LDht739PeH4GC3X6qUSysRkX/ftQTXBYBQY8xCY8xCXHvyQGPMNGPMtFSdnYiISDowfjx8803y48uWuQC5USNXv/r0Q70hZ04IDycGP6bdNgJ++AEWLICSJalSxV03bpyrxucruAbXJAa8U0ZE5N9zLWkh/VN9FiIiIulYly5ue8893ivIERGweTN06OBSNwI5StDkkVfGm7OIYQObQE3PNfGdFIcPd9vkguu+fV2A/fLLKfQgIvI/+8uVa2vtIlxqSB4gAAiz1i6K/6T2BEVERK5ne/Z49r/7znt8zBiwFlq0gJK/f8FRgq6MLan+NOtzNPF6GTF/fpfqceAAFCniuiz60qgRDBoEBQumwIOISIq4lmohTwCrgQ5AR2ClMebx1J6YiIhIejB/vmd/2bLEY6dOwTvvwF13QdMc68jc60nP4JAhvFdoGBUrgp+Pv43r1XPbxo1Tfs4iknquJS3kJaCmtfYEgDGmALAcGJuaExMREUkPxo2D0qWhQgXYsiXBQGws6x8YxPizS6hTtC6m288A7M9amtD8jbn1scfY+pFr8OLLoEHQti20aZP6zyAiKedaguv9wNkE388C+1JnOiIiIteX2FiX1uHv7z22cSMsWQIffwzHjrmGLtHRkNkvBrp3p+XcuHWo0TPdNlcu3mm+lMU7C7PSwsGDXHl5ManixeGxx1LlkUQkFV1LtZADwCpjzNvGmLeAlUC4MaaPMaZP6k5PRETk37Nmjct3LlwYVqzwHh82DLJnh8cfd0FydDTs3HoJHnkExo4lkuyEVuwA+fLBo4/C6tXkCS7M3r2eVe7KldP2mUQkdV3LyvWuuE+8qXHb3Ck/HRERkbRx6hTs2uUqcxjj+5whQ1y1j/PnYezYxFU7oqJcCb4uXVzsXLky3MwBCnV+AMKWcTlbLm67OJMBo5tSsZnnutKlXXm9n12WiIJrkRvMXwbX1tp30mIiIiIiaenNN2HECHjmGfj0U+/x2FiX5tG+vUvf2Lgx8fjaFdG8HvkW957PDk8doMakHznASVdfq0gRPrv1F1Z+V+fKi4nx7r3X/eaQIZArl0v/EJEbR7JpIcaYz40xVZMZy2mMedwY81DqTU1ERCT1LF/utqNGwd693uN79uTk2DH3wmH16q5W9eXLuFyRe++lcYssvMZAKk3oD599hjl1klgMa0t0gHXrmH64DpUrQ7Zsie97882ueghAgQLJr5qLSPp0tZzrkcCbxphQY8yPxpiRxpixxpgluGohuYGf0mSWIiIiKSg6GrZuhQcegJgY+Ppr73PWrcsHQKtWLri+eBGODPkBWraEqVO9L3j7bdo0ucDzRSdDUBDr17tu5r58+KHbVquWMs8jItePZNNCrLUbgE7GmFxAHaAwcAEItdaGpdH8REREUty2bXDpkkvR2L0b5syB/kn6EYeE5CM42L3QWLVyLC8wlCIv9wXgXPM7GbWoIg1a56bpe21g3jx46SVK7c/C1Klw6BAcOQI1a/r4cSA4GDZtci9KisiN5Vpyrs8BC1N/KiIiIinnq69cPnOrVt5jc+a4bb16cOutbiX5zBlP6/LQH7dwcV0sT96zHZZBjW5PUotQN/jJJ3x0+gX+u8Rw8DsgCGjQAHC1ro8dc7E2JB9cA1T1mXgpIundtZTiExERSVf27XPl8Vq3dhVBErIWPv8cmjRxlTuaNnWpIRs34nJF7rmHCp2qseFydfpMbgJNmuAXFkqkycHwZpOgTx8WLzHUrAlBQYnvHd/G/Kuv3Da5tBARuXEpuBYRkRvOmDGe/W++STy2YAHsCo/lm5iHoHRpaq4dQzhlKN63o1uBnjYNP6zXPfvUWcJ3Ufdz6RKsWuWC86Tig+n586FMGQgISMGHEpF04VrqXHsxxvhZa2NTejIiIiIpYe5caNwYIiNh6dIEAydPkvPR7hwzCymw4gQAQW92Jwhg7W4AjlS7lYabRjP6kR9o8+p9MGEC5MyJ3x+1CBsPGzbAhQu+g+vAQMifH06e1Kq1SEZ1zSvXxpgvjTFzjDEVgP+m4pxERET+schIWLfOpXs0bQorV0L0iQh49llshQrU3z+ZAvZEstePrj6KY7lK4/9IU6hYEd55B15+mcqV4fRpT6GQunV9X9+2rds++mgKP5iIpAt/Z+X6BPAMMBpQVU4REbkurVnjSu01aQLnzsGxT38gU6GHITYWA2ykGvs/mcSdz5SGnj3h1Cke2TeAMqfX8dYH2Zk1qAy1a4O/f+LUkDp13HbMGLc6nVzzly+/hNGjIbf6GItkSH8n5/qktTYS6AWUTJ3piIiI/LU9e1x1D1/i00AaNYIGR6fxHf/BxLpMxmUt36QpS6jdpQJkzgxffAGTJ+NfOZjPzz/Epbs6sH6971XpatXA399VA6lZM/nmL9myKbAWyciuKbiOq3U9DFxpPmtt01SdlYiISDL+/NNV+Ugu7WLpUqhSBfKd30/xt7vih2VP8eawZAmD875LUNkAbrop8TWlS7sW52vWuPrXvoLr7NmhXDm3H1d5T0TEy1WDa2NML2PMXuBPYK8x5k9jTK+0mZqIiIi3995z26lTXVm9hGJiYPWyaF7N/zk0bow5eZIlOW7jxdoLoEkTQkKgVi3ve5Yq5bY/xfUdTi6f+tNP4aOP4LXXUuZZROTGk2xwbYx5A7gLuMVaW8BaWwBoAdweNyYiIpLm1q717IeHJx6bPx8GnX2Khxb3gL17ITiYMbd8T+h2w8mT8McfVw+uJ06EAgWgZEnfv33rrfDii5AjR0o8iYjciK62cv0w0MFauzv+QNx+J+CR1J6YiIhkTK+9Br/+6nvs8mXYvh3uvtt9X7AgweC+fWTu+QTdGIvNnNl1clm3jqLVC7Bzp6tNDb67JpYu7baHDrlV6+TyqUVE/spV00KstRd9HLsAqMa1iIikuNWrYeBAFzzv2+c9vmsXREVB+/Zw881upRqA6Ghsy1bcsutLYo0fZtAgeOwxyJGDSpVcUP711y5orlfP+74Jc7CTSwkREbkWVwuu9xtjWiU9aIxpCRxKvSmJiEhGNWyYZ3/yZO/xrVvdtkoVaNnSBdfWAl99hQnfyQ7KMW/4dnj++SvXVKzotpMmucYuefN63zfhSvUTT/zvzyEiGdfV6lw/C0w1xiwF1gEWqAs0Bu5Jg7mJiEgGcuSIy3l+5hn3suKKFYliZAB++MG1FK9cGZo1g/nfHeDQFxu4uU8fAN71f5dRD5dLdE1wsGf/lluS//1Jk8DPL/n61SIi1yLZ4Npau9UYUwXoAlTGNY5ZDPTwlS4iIiJyNda65iotW0KFCt7jX33lmr/06uUC7ZUrE4/v2QNTpsCCBq+Svd1a2hZtQBeGkLN7JACLgzoSevMDXjWmc+b07F+ta+L99//DBxMRSSDZ4NoYUxYIstaOTXK8qTHmoLV2V6rPTkREbhiDBsGrr7qV4d27XUOWeNbCN99A48ZupblBA7eSfPQoFCoE7NpFyKtr+MZOp/mK7wEoxrxE93/XvE1wRd9vIs6Z44Ls6tVT6+lERJyrpYUMBXxV8rwQN9YuVWYkIiI3pB9+cNu9e2H2bLjjDs/Ytm0QGgqjRrnvTSLnMJuPydH0BPhfgNBQ7vNxz63+VclUKD+l7qrMvDGVea+i79++9dYUfRQRkWRdLbguaa3dlPSgtXatMaZkqs1IRERuOPEl9Hr1gs8+c/nUCYPrZdNPMZLXeHjqUQjsQu13H8KPKNjhOSeaTByr2JybqwfCBx/AtGm88U17TuYoyuAewBjPy4siIv+WqwXX2a4ylj2lJyIiIjeuXbs8bcWXLfPUnI5XbuQLtGAc/Ab8NgU/YL5pSdFSWShfKROTzt5O95WPs3dlNgiIu+iZZ8i3HlbOcqvekPjlRRGRf8PVSvGtMcY8mfSgMaYbrnqIiIjIFRER3u3I48WX0KtcGerXd/WsY2OBgwex3Z6gxd5xiS/o2JFepWfzRu1Z8OuvfBzZi9qNsxEQkPi0MmXg8GH38mOWLFC+fIo/lojI33K14Pp5oKsxZqEx5pO4zyLgCeC5tJmeiIikB5s3Q5488P77vsfXr3e1pCtWhOrVLLFnIogYPAaKFMGM/RKADXe94d50XLUKJk2idPlM7Nzps1AlgwAAIABJREFUUko2b3Y1qpOKb1s+daoL3DNnTqUHFBG5RskG19baI9baRsA7wB9xn3estQ2ttYf/6sbGmGzGmNXGmI3GmK3GmHcSjD1jjAmLOz4owfF+xpjwuLHb/pcHExGRtPPCC27bv79L/0jq55/hyWqryPX7L3QacysR5CHvS92vjE/gAXIN6u+i5Xr1wBjKlYOdO2HHDrh40XdwHd+2fP9+VQIRkevD1XKuAbDWLgAW/IN7RwEtrbXnjDGZgaXGmFm4fO17gGrW2ihjTCEAY0wloDOupvbNwO/GmPLW2ph/8NsiIpJGLlyAJUtc7eqwMFi4ENq08Yzv2ZOD41sPMyJTc2gfRcEk1w9pOoWPwttzIEm+dLlycP48zJrlvvsKnuNXrsF38C0iktaulhbyP7HOubivmeM+FugJfGCtjYo772jcOfcAE6y1UdbaPUA4UC+15iciItfGWhg+3K0O+7JqlVutfvNNl/qxenXi8SMTd3OYwmS6HAVATPWaPM6XTOz6G1jLkD/a07Rp4hbk4IJrgC++cCknlSp5/3ahQp79jh3/4QOKiKQgY5N7+yQlbm6MP+7lx7LACGvtK8aYDcBUoC1wEXjRWrvGGDMcWGmt/S7u2i+BWdban5LcszvQHSAoKKj2hAkTOHfuHLly5Uq150gNmnPaSI9zhvQ5b805bfwbc966NYCnn65FuXJn+fxz7/fZx40rwbhxJZk2bRm9e9ekaNELDBiwhSzHj1NuyBACly+/cu7Gjz/mVK1a3Nu+Mc2aHadLlz958MGGPPvsTtq3P5DovgcPZuOhhxoA0KjRcQYM2OJzfgMGVKRQoYs8+eSelHto9L+PtKI5p430OOfrTYsWLdZZa+v85YnW2lT/AHlxqSVVgC3Ap7h26vWAPXH7I4D/JLjmS+C+q923du3a1lprFyxYYNMbzTltpMc5W5s+5605p42/O+djx6yNjU1+/MABaytWtPbrr5M/p1cva936tbWHDnmPt2xpbY0abv+RR6wNCrLWHj5sbdmyVy7cV6GltWFhV66pU8fa226z9ttv3SkbN3rfNzra87v/93/X9rwpKSP87+N6oDmnjfQ45+sNsNZeQ9ybamkhSQL408BC3Gr1fmBK3DxXA7FAwbjjxRJcVhQ4mBbzExG5EW3YAIGBrq14ct54w9WIfuwxOHTIe9xamDIFihZ139esSTx+6ZJrCNOsmftes/Ilmh2ZREzd+hAezsGbalLO7CTzonmJ6uSVLw9btrg5ZsvmKn0klSkT9OwJjz8O3br9vWcXEfm3pFpwbYwJNMbkjdvPDrQGtgO/AC3jjpcHsgDHgWlAZ2NMVmNMKaAcsNrXvUVE5K998YXbTpjgezwmBn76ydN4ZeNG73M2bXJ1pPv0cd/DwhKPz5kD5S5s5LVFt8Gtt/LEp9WYxAP47/sT6tbl8Ztmkb1KQYKCEl9Xrx4cOOCuDw4Gf3/fcxw5Er78EnLmvLZnFhH5t6XmynVhYIExZhOwBphrrZ0OjAVKG2O2ABOAR+NWsbcCk4BtuB5dva0qhYiI/CPWwo8/uv2QkLiGLUls2wZnz3pWhcPDvc/57Te37dzZrYInDK7tiZMU6tySjdQgaOMc+P13ch0I40+Ks+qREUQvWMrC0CAqVjzrdd/69d1282bfq9YiIunVX5bi+6estZuAmj6OXwL+k8w1A4ABqTUnEZGMYt8+OHoUatVywXV4uHf3wvj3DNu3h7ff9h1cL1rkGr8ULuwptRcv4r2h1DsfV6m1dm1o357LWXNS95WH6VG8ANl3QVQUlCvnHVzXTPC3g68qICIi6VWa5FyLiEjaWrvWbR95xG137PA+Z+lSV8qudGkoWxZ27Uo8Hhvr2oo3buy+B5ePdcH15cswZgw5R30MwJG7usGCBfD662R68XkCShVgxw5YF1dYpHx57+A6a1ZPN8f4VWwRkRuBgmsRkXTowgV4+WU4dsz3+Nq17oXA+NrPSYNra2HePGjRAoyNpVlgqNfK9bZtkOfUHnqc+gAqVeLzrzLx8dGHialaHbp3J9OlC66z4vgxkDv3leuCg921ISGQKxcULXrB5xz79XOr6y1b/tM/BRGR60+qpYWIiEjqmTABPvoITp2CMWO8x9etgypVoEgRyJ/ftRFPaPt2OHTI8nDheVCjD59u3kwf//8j5s8O+M/8Fe67j033f8Ye+sNkd40BHuY792p6tmwMrzCMkRcfp3OuxN1fqleH2bPd6nSNGuB3lWWcwMD/6Y9BROS6o5VrEZF0aO5ct1250nvMWrdy3ariQRg6lKYl9nqtXE+cYPmcHtw59Fb3ViEwOOY5/EsWg169ICiILtv7ey547z1OPvo8G6jOH/U6YX+azIAjT1CrjvdfI9Wru8yRdetczreISEailWsRkXTmwgWYMcPtb9ni2pLH16EG+OMPKHdyJQN+vg3GRzAm1/9xa+5VQCFYs4bYyT9z+5Al1GepW16+7TaYNs3nb8XkzI3/nN+gUSNyR0Pd7+Hl1tCzuivR5ytfukYNz37t2in22CIi6YJWrkVErjOLFkHTpi5v2ZcpUyAiAgYOdN+TNnZZvfwyP3I/WS9GABB47g+mH6pF9JO9oHFj/D4cSP1LS4nJnBXGj4epU9m37Syl2cW8bj/A0qX82Hgo9bJvxp6OgEaNAMic2b38GBYGq+O6ENSr5z2/MmWgeHGXe33XXSnxJyIikn4ouBYRuY7ExLiAdOlSeOEF3+eMHeuC3GefdS8tXgmuIyJg8GDy/bcPxdiPLV8edu0iOntuinKAzF+MguhotpS5hy7+E4ncddjV4QOKVMjFwaylmZ3/QWjcmP+efY68TaqQKcl/34wvx7d6tQu2q1f3np+/P+zZ4/7PQf78KfdnIyKSHii4FhG5joSHw7lzrib1nDmwd2/i8YMHszF/PnTtCjlyQNWqccH1+fNuhblvX9psHwaA6dYNSpdm95j5vMpAwtv0hMmTuT/Tz5xs3YncxfJeua+fnwvYd+6E06ddGnaTJt7zq1DBnbNihQuss2Xz/Rx+fmCM7zERkRuZgmsRkTQWc5Xes3HvFvLKK267ZEni8YULCwFx9autpXnwEZ5c+qirebd165XzzpSoCr17A1Dknjp8yKtMaj6So006sD3M+Cx/V768K9m3YoV7KTK54DoqChYvVn1qERFfFFyLiKShFStc45bp032Pb97sVn07dYI8eVwQm1D+OfPZka0qxctnAz8/hoy/iU4Xv3GDAQG0LbyRV4KnEhCyCHLmBFzcXaSIC5yXLXOnJhc4h4e7+tf+/r6D5woVPPu+8q1FRDI6VQsREUlD774LJ09Cly5w4oTLW05owwbXLTFXLmjQwPPiILt2cXH6XN7981myEJ3omj8oQc42jfHr24fZt1XjtpeqYZLkOsevSi+NKxDiq4pH+fJw6RJ88okrIBIXmyeSMLhu1ervP7+IyI1OwbWISBo5fdo1VyldGnbvdlkcCcvWHT4Mv/0GTz1xGaw/Lx57lYtbwrCVd2K2bSM+vflU9ebky3oBihXj0C0PUu6Zu/m8c2Zuiks3SS5w/uknF8zXrOkC7KQSBs4PPeT7GQoVgg8+gNat3Wq4iIgkpuBaRCSNrFrlcplfeQV69HAvIsYH15dPnWVKy3E0iK7O4O/uhpGnaR1/4TYgSxZ2FGzEZ0fv4f2Vz0E297Zg4GXw6+s6Lh444E5PGLDHK1fOrZQvXnwlFdtLcLDbZs0K992X/HPE54OLiIg35VyLiKSRlStdBY3OnSFfvrgqH9bC3r2cbPcIvUKfYZFthn/E6SvXfMjLHGn/FKxaxZ05FrC8zsNkzeYpw5Epk1uVDg2FkBAXRAcEeP92+fKe/eQauxQs6ILvI0dcJRIREfn7FFyLiKSQI0dc7emICO8xa13L8sqVXfBbt1YMBX6f6PqDlyhBoWW/JL6gYUP2jp7Jq3zIvI6jOFioBuHhULPmKa97Bwe7let165IPnBMG13XrJv8MTZu6FylFROSfUVqIiEgK+fhjGDYMsmeHDz9MPDZ7tqvUMWQIsHcvI7Y/TNkDnlIgR7OXYGTuV3j7k9xQrBg0b07gBeAp2LWLK81cqlU74/W7wcEunxrg6ad9z618efj0U7jpJhfgi4hI6lBwLSKSQmbOdNvPP3etyf0S/LfBn3+KoURABE/X3g7NHqTsgT85TBBZ+z5D3ld6UKN6QVq3Bv7juSZ7dtdGPCwMjh1zqRply57z+t2KFT37tWr5npsx8Mwz//sziojI1SktREQkBRw44Np9V67sqoIk7ax41+Su/BGRn0zNGsGff3IuuA5V2MLyFq+z52xBDh1ypfeSqljR5VMvXQoNG0KmTNbnOfGulvIhIiKpT8G1iMg1iIiAL79MvrtiSIjbdu3qtgmaJRK5YiPtTn/rOfD008RMn8UJCrJ1q6dRTPPm3vetVMnde/16341fwFUH+eIL2LPH98uMIiKSdhRci4hcg4ED4Ykn4McffY+HhHgqgQCEbbjgOsCcPEnMY90AOFm5qTtx2DDylCnIzTe71e7Fi6FAgcQr0PESHksuuDYGunWDkiX/+fOJiEjKUHAtIvIXLl6Ezz5z+x9/7PuckBD3YmGRIlC/0B4eH1Da9Q8vUIDcO9ZxkawwYYLr4BKnUiW3wr1kiavS4efj38gJXz5s2DAFH0pERFKFgmsRyfBiYtwKcnI2b4ZTp1z6xbp1cC7JO4UxMa4SSN06FhYuZN7JGuS9cPjK+EX/HAwv+A75q9yc6LpKlWDtWggPd8G1Lw0bwvffw8GDvtuRi4jI9UXBtYhkeK+84laI4/Omk9q82W0ffthtt2xJPL5mDZw8Ecsbh5+GFi3IedkVuo6cOhe7bDmlCp5j8x3ebQ0Trko3a+b7t42BLl2gcOG/80QiIvJvUXAtIhna2bPwySduf/Bg3+ds2uTK4N17r/u+cYP19BoHvh4by9NmJOXmjoRMmThTpiYf05dVuVsTHtiQw0cMjRp53ze+bF6xYr5blouISPqjOtcikqFNm+a2FSu6fWvdanFCmzZB1apQqpSrxlFo3EfQ8xXo1YsTh6IY/fOXnpPHj+dyi468VBA+WA07d7rDLVp4/3adOrBxo/vtTPq3sYjIDUEr1yJyQ1u7Fp57DqKifI9PmgRFi7rOhmfPwr59icejolzaR61aYCLPc1+JtbRfGZfiMXIkBRIG1j17QseOFCjgmr9s3Ajz58PNN0O5cr5/v1o1yJz5f39OERG5PmitRERuWGfPepqqVK3qSuklFBMD8+bBo4+6IBdcfnXx4p5zFi6ErOeO0z+kG+T/jbGXLiW6x5yCXVgccBf/HZoL7rrryvHq1WHDBjh/3r2smHQ1XEREbkxauRaRG9bq1Z79YcO8xw8cyMH58y4Aj3+5MOnLihMnwgeZ3uSmVdMgOpoTBcoxnTuJXLia81v2cMep74l94EFo1y5RBF29uuusuHcv1KuXCg8nIiLXJa1ci8gNK75LYq9eMGoUnDkDefJ4xnfuzEVhDlKnfC7y5QugaBFLllnTYMME2L2b2G2h9Dlfgip2iytCvX49C3ZU4/77ISQAzhxzq9++yuglfEFRwbWISMah4FpE0q0LF1zL70qVfI9v2eI6H7ZrByNHuhrVLVt6xk+tP00Y9cnVMhpKlGDXoT/JcsCTnO0HVCFuKbt/f6hWjQpxi9M7dsDu3W6/fn3v327b1rOfoG+MiIjc4JQWIiLpVr9+Lp1jyRLf41u2uPE6ddz3NWsSj5dZPpPcnMNERcGOHWSJjeI8ObANGxHb4T7aBq7jreq/wPr18NZbgHsxMWtWWLnSfSpUgPz5vX87Z044cgQWLVLzFxGRjEQr1yKSLsXEwNdfu/2+fRPnV4ProrhxI3TrBgULQolisWzZEAuXgbfe4tLUWbxwar07edAguP12Zk2MoOt/S7Nw7E2cPw+z68AjQ2tBghSPbNmgeXOYNct1bbz99uTnWKiQ+4iISMah4FpE0qV161wOdenSrrPi+fOJV4inTIHskcd55eB78Lxh3ZGJ5J1wFH40EBNDlrjzzjdoSc6+fcHPj6BLcOS/rmLI0aNuvHFj79++4w54/nm336BBqj6miIikM0oLEZHrUnQ0HDqU/Hh8S/LnnnOr2OvWJR4fNw6G5u5Pkcmfwv/9HwUuHcafWHcyMCLfG4wo9Co5Z/7kXlbENXPx83PpJKtWQVBQ4rJ88Tp29OwruBYRkYQUXIvIdenRR13zlVOnfI9v2+ZSNDp3htxEEPPBR3D4MEREcOa5/jw/vx3/OTvKnVytGjMe+IYv6AbA3leG8/Sp99jX9VHIl+/KPbNnh7JlXXC9cqV7UdFXfeoiRVypPYAqVVLyqUVEJL1TWoiIXHf27oXx493++PGulF5S27ZBcLDLaf4pxyO0mDUVei6HAgXI8+WXtIs/8bnnYOhQoqZAj4ldqD/tDebvLglA7drekXvVqq5xzIkT0LVr8nNcutS9sKi25SIikpBWrkXkX3H5cvJj337rtgEBniA7qa1b4xq/jBhBm8ip7uAvv8CXrh3574GdXZ2+oUMBtyIdiz/bIkuyZAmUKAGBgd490atUcYE1+C6xFy9XLihT5mpPKCIiGZGCaxFJc717uxJ2kZG+x8ePdy8SPvmkqwISlSQGXrkS9u2zPHf8DXj6aa/rx/EIewaMh5IlrxyLD4R37YIVK3y/qAiJj8eX8BMREblWCq5FJE0tWeIauuze7Smll9Aff7hV6fvvh0aN4NIlV2Y6oU8/hedzjKHu7AHg78+GZ8eSj5OEfjCVH7+L4jHGeXVFzJkTbroJli+Hgwehdm3f87v1Vtcq/eWX3cq5iIjI36HgWkTS1LRpkCWLa8YycaL3+MKFbtuqlQuuwQXE8WJjwfw6jSGRPdyBzz4j97NdOU0+VgXdzdadWTAGypf3vnfZsjBjhttP2J48qaefhg8//NuPJiIiouBaRFLWkSOweHHy43PmQJMmrhHLtm3e4wsWQPO8G6l082luCrLcm2cBp1dtd4N//MGewT/z/bl73PebboJHHqFYMVfV488/ITTU1b7Ont373glzpOOrfYiIiKSkVAuujTHZjDGrjTEbjTFbjTHvJBl/0RhjjTEFExzrZ4wJN8aEGWNuS625iUjq6djRBc5jx3qPHToEmzZBmzZQqRIcPw7HjnnGo6Igy08/sPB0DfxKFoeiRfn5TEvenVTRRcalSlHmpQ6eC775BjJnJksWKFzYE1xXrOh7bqVKuW1QEBQokHLPLCIiEi81V66jgJbW2uq45sFtjTENAIwxxYBbgb3xJxtjKgGdgcpAW2CkMcY/FecnIilsxw5Xog7g88+9x3//3W3btPEEwKGhnvHN/X7g00hXi5qzZ11ydLzdu8Hfn/U5GjG74ENw8qRLkI5TvLirT71tW/Kr0i1auHccJ0z4Z88nIiLyV1ItuLbOubivmeM+Nu77EODlBN8B7gEmWGujrLV7gHAgyStJInI9Gz4cMmd2jV02b3b50QnNmQOFCsZSvcJFKlVyx0JDcSdXrkydIQ+RnYvEdnsS1qyBn39m9OOrCfA7x+WFS9kzbze1Ipex/Y3vEjV/AVdab80a14CxZUvf82vWzFXnu+WWFH90ERERIJVzro0x/saYDcBRYK61dpUx5m7ggLV2Y5LTiwD7EnzfH3dMRNKBqCg/vv4aHnjALShHRrrF5njxLyKGny2EX64cFGsTzC/+91Fh9POu/t22bUSaHHxefTh+Yz5zdfDuvZesTepyNjYnfxRpzPxw14v89tu9f79ECbfNksXzIqSIiEhaS9XeYtbaGKCGMSYv8LMxphrwOtDGx+k+mgwnWtl2JxnTHegOEBQUxMKFCzl37hwL40sMpBOac9pIj3OG63feJ09m5sSJrJQrd85rLDTUn7NnoWzZLURHRwG1+f77LTRvfhyAg6vP8fmZTmTDFa02YWHcQxhscNfvq9WUCiG/0f2W/SxctOjKfSMi8gA1mTJlEwsXBhIQUJADB5YlyhgByJ49EKhMhw57WblyN9fiev1zvhrNOe2kx3lrzmlDc5arstamyQd4C3gTt4r9R9znMi7v+iagH9AvwfmzgYZXu2ft2rWttdYuWLDApjeac9pIj3O29vqcd2ystY0aWQvWDh3qPd6v3zYL1oaGWht5+Iyty2o7p/WH1jZsaG3FivZ0vhLWgo1se6+1+/ZZ++OPdlrlV+2nuV+z9vPP7bgvLlmwdsuWxPc9etT95uDB1gYHW9uuXfLzi4r6e890Pf45/xXNOe2kx3lrzmlDc86YgLX2GmLeVFu5NsYEAtHW2tPGmOxAa+BDa22hBOf8AdSx1h43xkwDfjDGDAZuBsoBq1NrfiLy9yxc6Kk3PWkSPPdc4vGDu/0YaF6jbGhDMvXoxmqOwe+e8TxApMlBjk8GQNGi0LEjW3Z25LXX4NEHYMUrrmlL0kofgYHus3gxbN8Ojz7qe37GuJQQERGRf1NqpoUUBsbFVfzwAyZZa6cnd7K1dqsxZhKwDbei3du6tBIRuQ58950Lfh94AH74weVQ+yV4a6Pimum8YgdCgkp5vwV0om2/mlysWJNX7gun0GN38HqlUlfG419q3L4dVq2CevUS3zPheb/84vaVTy0iItez1KwWsslaW9NaW81aW8Va+66Pc0paa48n+D7AWlvGWlvBWjsrteYmIt5+/BFefx2OHvUei452we3dd0ODBnD+fOKXFTc//yWv7H7Rc6BkSQb0PsjdFyZy+cVXWZj1Nj6N6U2d+0slum/8KvXata7+dYMGvudWubJnv06df/iAIiIiaUAdGkWEqVOhUyd4/3146SXv8bVrXVnpe+91bcOLso/z730C587BL79Q9f+e8Jz86aewZQvF6xcmOhp27XIl+LJmhaZNE9+3dGmXyvHdd66EXv36vud3331u27w55MiRMs8sIiKSGlK1WoiIpA+TJrmuhXXqwLJl3uPxx5o0gbyhK1hOJ4p9sx++edElO8dr3x6eeQbwpHxs2+aC66ZNvQPjTJmgfHlYscJ9Ty64btnSBff+aislIiLXOa1ci2QAGzZ4AtikYmNh7lxXm7ppU7fSfPx44nOWL7PcV2QlQTuWkLV1U4qx3zNoLf15h2d7b4cpU64cDg5227lzYetWuO02379foYLbli7tXlxMTr58LudbRETkeqbgWuQGFxMDNWu6FwH37fMe37wZjh1zwXX8yvGaNZ7xvZvPcMuvffnpQEPX4jAmhgMBwbyRdxg8/zxL+s/lPfoTXClx7eucOV2r8VGj3Pc2vqrb41bDAfr0+d+eU0RE5Hqg4FrkBvfbb579wYO9x+NXtJs0gRoVoxjMCzR6qCS89hr06EHxanl5NmaI54KSJfm57zIGnH6a468P4dcLrcmSBcqW9W4sE796HRQEVav6nt8zz8CZM9C79z97PhERkeuJcq5FbnAzZ0KuXFC9uu986pUroVDBWEoVPI9p3YoXWAOngIEDE5/Yrh188w3kzk2ZOS75OSzMXV+zJmTJ4tVQlQYNXHDfq1fi1OyE/P2V7iEiIjcOrVyL3OBWrYK6dd3K9IYNcPGiZ+z8Ocv5GQvZcyoPJk8ArFnDkazF+b7wi3DLLVyuWIUZ3MHovjth2jTImxf8/Slb1l2/fTusW5f8i4ivvgr790P//qn/nCIiItcDBdci6Zi1MGwYfPaZ7/HISNi40a0gN2jg6lXv+GEtzJoFhw5xvEJjfjzeghwxnpSOKa1G0DvyI+z8BcwYuJm7mEGVe8smum+JEq7Zyy+/uN9ILrjOmhWKFEmppxUREbn+KS1EJB37/nt49lm336KFK2uXUEgIXL7sAuuqlWLowC9U69bxyniJ+J28eaFvX7h0iZjAOzkzEw4fhtmz3YuJdesmvm+WLC7Anh7Xc7V+fd8vS4qIiGQ0WrkWuY5t3Qrh4cmPf/895Mnjgt2RI73HV61y2wZlj1Oix21MpmPiceqxqOMw+P13eOMNePddKlZyydGhoW6Bu1UrtwKdVJkybluwoCujJyIiIgquRa5bFy9ClSpQrpzvAPv8eViwAB5/3JXZW7rU+5yVK+H1AqMp1LgcfvPnAbA/dzAMH87sp3+lKUsIeu9pqF37yjXxLcmnT4c//oC2bX3Pr0oVt23UKPmXFUVERDIaBdci/5IzZ+DCheTHJ0zw7H/xhff4ggUQFQV33AGNG7uXFc+f94xHRkKBOeP574mecPo03HILD9+yj7vLhkLv3kyOuotc+bJcaeISr3BhV71j7Fj3Pb4OdVLvvw8zZsCIEdf2vCIiIhmBgmuRf0FEBBQqBJ06JX/O9Okur7laNdi0yXt8xgxXYq9pU7d6HBMDa9fGDcbEENrkSUZHdHHfP/4YFiwgb5WihIe7FyHXrnXtzpOuOhvjVq/PnIHcuT1tzJPKnt0F9kWL/u3HFxERuWHphUaRVPDVVy4wbtnS9/igQXDpkgugjx93ecsJWQtLlriW4dbCwoXe4zNmQOvWLh+6esAePmIEgf3Pwa1FYedOaq//xp18882uUwuu1fjZsy7NZPNmeOkl3/OrV8/la1es6OpQi4iIyLVRcC2Sws6dc3nQ4ILY+Bf/EpoxA/Llg1OnYPJk6NEj8fj+/dk5etStSp86Bd9957b58rnxZUst7fd9ykcn3gK/CIpYy4sAi+M+cdbX7ErNb/u6Nx5x3csBPvnEVRGpU8f3MwwcCPnze84XERGRa6O0EJEU9vvvnv1vv/UeP37c5Uf36eNWt2fP9j5n0aJAwJXXq1bVkp1Izj7zmqu7N3QoN3dsyP/xPFkiz7hlbGBXlorMLtkDAgI4U74u1djI8Q/HQuXKV+5bpQoEBnrqYjdt6vsZcuaEt99OfuVdREREfNPKtUgKmzHDvRBYogQsXuw9Hh98t2oFf/4Jkya5VeRMcf80xsTA1KlFuPWAUdLqAAAgAElEQVRWKHt8JaUevptIjsH3nnuUBiKyFCBg3HD3VmRUFC/N6MaOPZm5bedwhg7IxJZ3vJu7+Pm5VJPvvnPpJIGBqfJHICIikmFp5Vokhc2f71acW7WC7ctPcmnd5iury+CqgNx8s8trbtUKykSEsH/AOBdVAytXWJof/5XR0d2gWTP8TxwD4FjuUvDww5xp9x+6MpYpH++Bzp2ha1d46ilKV8jMrl0Q65eJ5cvdKnVAgPf83n/fbR97LLX/JERERDIerVyLpKC9e2H3bpe9USzwIj2GNiJLnTCoVQt++IFzRSowcyb06XEe/xPnaRQRwgruIevbl+C9btC4McV3RPITa2Fh3E3btuW1fT1ZlrMNi77JxrfD4etf4c07E/92cLCrjb1rl6tv/eCDvudYrBgcPeoqgYiIiEjK0sq1yN80a5YLoH2ZO9dtW7SAFnP7EUyYOxASArVrs+PLJQyP7s6AMYEQFESx59qTlUvunJgYWLyYYofj6undfru7btYszra4m5Bt2YiNhXnzoFQp766I1au77fjxrtTf/7d33/FRFfv/x1+TAiGEDlKlqfQqoDQVEBG4AgIWFBW/VrziDxW9iAqiWEDA3huWqyJK7wJSpAgSSggaiterUpSqSE1I5vfHnJBNshtN7mazgffz8djHOZlT9rMfI3yYnTPTpk3gz1ChAsTE5O3zi4iISGAqrkVyYcoUN7dz797+j3/0kVtRsfGC5yjz/gukEMUbvea6C44c4fx7L+YO3ibyxDEoWhRz/DgJMa249oojsH07Sc9MZQSP81Hvl2DOHGjeHHBzXR8+7HqlFy92w0myatTIjal+/XX3c9u2+ZQEERERCUjFtUguvPuu2yYmuhUQfe3YAUuXwmNtF2AefACAp86ZwGd/dHXTcxQtmnHyxIlubMaUKTx36Rw2bouFc87hjV+vZGzMCMrd1izTvRs3dtv333eLu3TunD22YsXcPNa//urmzT733CB9aBEREfnbVFyL+HjpJTdeOZAtW9xc02lp7sFFX4s/3c18utD/gy7uAcbhw9nV6QYSEsCWr8Chh0eTTDS/lq0Pffu6pw1796Zas/Js3+4WlfnyS7jkEoiNTc1070aN3Pb559020BR5Xbq4bY0a2VdeFBERkfyn4lrEs3cvDB7sxir/9FP24ydOwI8/wh13uHmgZ8/GFdEffgi33calj19MFxZgixWDu+6C4cNp2hQOHIBdu+DZ5Hs5iz38uXBNxrx7uOXFU1PdcI/vv4fLLsv+3nFxboz1sWNu2upAU+g9/TRcdRU88khwciIiIiK5o+Jazgjz58OIEbBzZ+Bzli7N2J88Ofvx7dtdj3WTJm5YxuzZYMc8CwMGwLvvUuXIdg4Wr4r54Qd47TWIjqZJE3ftjBkwbhx0vbY05zWPy3Tf+vXd9qWX3Da99zmrG25w227dAn+G2Fj4/PPAY8JFREQkf6m4ljPCPffAqFHuYcTjx/2f89VXrkc60OIvH3uLuNStC926Wm765Ul4eBgAOzvfxDCeJv6NtVC58qlr0sdKP/igG/bx7LPZ71u3rhvCMWcOVKqUMQQkq8cfd0NWHnvs735qERERCTXNcy2FXloaPPSQm9fZm1wjk127YNs2aNcOVqyAWbPc0Alf+/e7VQt79HC9v9OmuftGeP/8XL8ennkGhlb+gKbvxlP1SDEq8SwWAyNHMmb/Y7yzAkb0zXzf0qVdsf7TT9CyJVSvnj2+2FioWdMNOencOeex0llXXBQREZHwop5rKfQWLYKxYwMPp1iyxG3HjXNzO69alf2c0aPdVHePPgoXtkqj2YFF/PbF17B5M7z9NocH3M1G05TRu28m6vWXqfSh64Ke1PNj7IjHmD3bPWRYrFj2e48c6bZXXx34Mzz6qHuQ8fbb//bHFhERkTCknmsp9N5802337YOEBE6Nc043bx6ULQutWkGLFtlnA9m+HV580S0H3rDuSSoOvJo7mAbXZpxzkZ/3XVTySj5Ivo6mW9yiMkOG+I/v5pvdQ5LnnRf4M9xyi3uJiIhI4aaeaynUjh1zY5X79XMTcPz735mPnzxpmDXLDfeIjITWraHst/NIveoaN4bk4YfZdvkgxtoHGH3njzB4MOWXT8u4QWQkO9pew1SuzGgbPRqWLuXTHp+yYQMsXOiac3rQsG7djCEmIiIicvpSz7WEveRkKFLE/7ElS1yBPWCAG9YxcSKMGZMxbjkhoRTlDm7jiZ+ehCHl6RHRkTEpvYicnOZO2LCBbkA3gNbjAbBFi9ItcgE3tfqe60fWYcjrHVhaEXos2U7U9Mlw331QpAgN4+Hdj92qjdWquXHTIiIicmZTX5qEtV9+gYoVoWdPN890VvPnu3HOHTrAP1r8Sqdf3ufkBW1OTcvx45yDrKAd1Zd8CM89xyXjehBJGkmX3g0vv8zOlj35hOv4vUXGqixm5EgONLyICdF3YC/pwJIlbjx3VL1zYejQU5V++sOTixe7hyW1aIuIiIio51oKTHIyDB/u1lsJ1Os7ahT8/jvMnOkK6Z49Mx9fuRIuuABiilqu/bgHA1kLa4G132ATEnjsqy8pz95M14yJeoQ9jZ9g/KAIRqwfxORtsG/xMbi4rXuzu++mTqKbjm/rVrdK+cUXZ4+tadOM/Yv8DcoWERGRM456rqXAvPOO62AeOtT/8ZMnYdIkN8VekSLw9deZjx87BpvWpdD7vES4+WbKbF+b6bj5+GPK273sqn+pe9pxyBD4/HOmnP8kGxIisNYtN965M0SVKAZr1rhqukQJ6tZ1veZz57p7+Suuy5RxD0pGRbmHFkVERERUXEu+sBbi4yElJfA5L7/stitWuDmls1q7Fv74A6680s3vnLW4nvnaL8xI7c7gdxq7JciBUTzK6JHH4fXXWdb2ITqYJUQv/hLKlXNz8V11FU2bwoYNbqnxHTt8pvCLjnYv3AOI4P4BULFi4Jk+EhLc8ubFi//NxIiIiMhpTcW15Is33nCLplxzjSu0s9q7F5KSoGFDtyR5YmL2c7780o1j7tQJ2raF7+KPkZLsbpby9FiueaA6l+FN1dGpE0yYwHuVHmHrT0Vh4EAeSHmG/Q2bUaFi5l/zZs1cQfz22+5nf/NjpxfXmze7+acDjaeuWhVKlPg7GREREZEzgYprCbrUVHj4Ybc/bRps2pT9nNWr3XbwYLfdsCHzcWvdcuPt2kH5uOPctbAPh07GQq2acO65RD/yr4yTH3/crSRz881UrxNDUhIcOQLr1kHTpr9ne+9mzdz2hRfcnNj+xnv79lT7GxIiIiIi4o+Kawm6zZvdc4HDh7uf16zJfs6qVW7e6X793GwfmYrr/ftZ9tVJtm71FlYZOpQa8VMBiN71M/zwAwAjIp/k2Mr1GW+EGz4SHw9Ll7oiv3HjP7K9d+PGGft9+vj/DLGxcPnlbu7qm27KzacXERGRM5mKawm6FSvcdsAA99Bfei91usOHYcIEN9yiRAlX7G7ciFvmsGtXKF+eJt2q8H6xgdw0oQO88go2IoJWrOHfd34NH33EqBrvsLzdQxRr0yzTmI327d0sJOPHu+aGDQ9li69ECXjiCejeHf7v/wJ/jnnz3AI1GvYhIiIif5eK6zPI/v1w//3uIcFAfvwROnZ020CWLYNXX3W904GOV6oEtWu7afJ8e66Pr4jncJlq3Lh7DC/8YwE8/TR9Ky7n0WVd4Jxz3Hx7QJmUvQw49iaRXy+FtDTMyJHsqtKKBcfak3LtDTz16620uCAy23u3a+e2X33l3jsu7qTfGIcPh9mzoXr1wJ9TREREJLc0z/UZZPx4eP55KFUKHnvM/zknTrghGj16uN7kyCz16/HjrnP52DHX+7xyZebVE0+ccL29ffuCSUulf8w0diSuJ/WNGkTWqEZEvxupdHI/Y3gIhrhr/uX7Bn36cO3+1yi9cSmv/Otnops2cE9GnnUW9Ze6hyC3bHHvkz522le5ctCmjRt20qHD/5AsERERkTxQz/UZxOsU5pNPAp9Tr56bsW7zZjdVXVbffusK69693djmSZMyH1+4EI4fOsFDyU9AVBQ3Tr+KYWlPEXnXHdC9O0UO7c98QYsWpEUX4VcqsuzF9Rz/eDLTVlWkxK3XED3sATd246yzAKhf38W0fr271F9xDfDii+6SG2/8G0kRERERCaJ8K66NMTHGmDXGmI3GmM3GmMe99rHGmCRjTIIxZqoxprTPNcOMMduNMVuMMZfnV2yno/373ewXR4/6P753r5s9o1KljFUHA2nb1m3j47MfW7rUbd9+2xXib72F60o+cAB27WLVO5tZE9GGOh+7rvHUYsUZz/2nrk8q2YrWDf90A7O/+grWruXInqNUZSfLDjUjPt6NmW7fPvt716sHf/7pZiApVixjurysWrWC335z0/yJiIiIhFJ+9lyfADpZa5sCzYCuxpjWwAKgkbW2CbAVGAZgjGkA9AMaAl2B14wx2QfVnoGOHnU9xP7mi053661w331wzz3+j6cXyrfd5rb+5pVOV6eOWxQla3Gdmmr47DO37He5cjCo1myeWtXRVb3lykHVqjw5rRFN07yu5VatOPHZdB5gPJ/cspC0nr3oc/JzWlwS5yr4jh0BKFE6ktrnRrJxY8bDkOkFvq/69d12yhR3aZQGNYmIiEiYybfi2jqHvR+jvZe11n5prU1/yuwboJq33wuYaK09Ya39EdgOXJBf8YUTf6sT+ho5Eq691j2A589338H06W5/wgTXS51VeqF8ww1um1NxHRkJzZvD4aXxrkvcC3DBgrNITIQRI4BDh7jzyz5cdHJJtuv31WvvupjXrCG2x6VUqwZzky9l48hpfH+0ht9e6fRVE5cvd8W9NxIkk3r1Mva7dg0cv4iIiEhBydcx18aYSGPMBmAPsMBam2VSNm4B5nr7VYFffI7t8NpOazNmuF7ihITA56QXxp9+6v/4Z59BRATMmuV6t+fOzX5OfLxbGKVOHShb1o2pTmctpCV+l9GQmMjLO/vwXkJLKF/edRHPn8/+OT8zK/Zqer/fEwYMICo1OeOaypUB+JGaREybAnFxpw41aODGSi9f7n72V1w3awbbt7tx4ekzfmRVuTIMGgTnnx94fmoRERGRgmRsTmMNgvUmblz1VOAea22i1/YI0BLoY621xphXgVXW2n97x98F5lhrJ2e51x3AHQAVK1ZsMXHiRA4fPkycTzFXGKTH/NBDjVm9uhyNGv3Byy+vz3ZeSoqhZ8/2HD8eSUxMKjNnLicqKvN/s1tuaUmpUimMH7+Rq69uQ/Pmv/PEXctJLlcOgORkQ58+7eh3/jc8XnYcb6/txNRS/Xl19EpOxsUR8cUK2r82gpWXDSRqQDta/POfRB/KPj/0cYoSw4lMbc9zL2nD+tKiy0nGDSrDziPleH7C9kznvPrqOcyaVYW2bfeRkFCazz9fle3eK1eW45FH3OouDz6YRPfuv+YuoQEUxt8NKJxxK+bQUMyhUxjjVsyhoZjPTB07doy31rb8yxOttSF5AY8BD3j7A4BVQKzP8WHAMJ+f5wNtcrpnixYtrLXWLl682BY2ixcvtikp1pYubS1Ya4y1hw5lP2/ePHe8f3+3Xb068/E9e1z7M8+4n59s/oVNiL3ANb73nrXW2kmTrK3Ab/ZohbNdu++rTh2bGhllLdjdD79k7YAB1oI92Ki9bcMKu/2Wp6y94gqbEh2T7dqTNWrZWA7b556zNinJ2shIa4cOzf4Z3nzTXRIXZ+0VV/jPxy+/ZNz6p5/yntesCuPvhrWFM27FHBqKOXQKY9yKOTQU85kJWGv/Rs2bn7OFVEifCcQYUwzoDCQZY7oCQ4Ge1lrfuS1mAP2MMUWNMbWA8wA/C2efPjZudAux3HSTKyvXrct+zuTJboTFqFHu52XLvAPeNw7Ll0MsR7ik9QlYvJhH1l9F46Ne2m65heOdutOwX2P2UJFie3+B4sU5Vrxcxhts3UpE6kkmxAyk4qhB8MYbMGwYx76YzSraMrf5wzBzJl2b/Ub/CtNJO3IM9u2DRx8lYvFXRJcqTlKSm74vJsYtUpNVgwZue/gwNGniPxfVqsGCBW7xGi3sIiIiIoVVfo65rgwsNsYkAN/ixlzPAl4BSgALjDEbjDFvAFhrNwOTgO+AecDd1trUfIwv3yUluRk8tm71f/zbb9120CC3XZPlnxKpqW7auX/8A2rVgnq1k920IR06uAHUmzfz5b/38IM5l9b/KAudOmV7j5jFc2mQ5j29WKwYJCSwdsZuKvIrX049AgsX0rNqPDO6vo6JMK5CfvppKtUpSalSbqz0rl2w6NuSxPZqRERsjJsZZNQoTK2aXHSRm9v6m2/ccub+HkRs3DhjP1BxDdC5M9SsGfi4iIiISLjLt8nMrLUJQHM/7efmcM1TwFP5FVOo3X23m8p50SL/DyyuWePq1JYtXW/t+ixDrpcvdzN/XHfZXnjqLZbtfpMK//F55rNRI15P3/e+A9jfoD1VvlvIhheXUf/7KcyamUbZ3/9D2w5FYdgwqF2bBqVgDxXZ9AM0uu5SZu6E8Vl6nI3JWLRl3jzX1rr1fqB2pvO6d3cPUgL06uU/D6VKwfXXu8Vrmmf7jRARERE5fWiFxjw4ccJNR9e7d+C5p9evd4V1XJyb9i7r4i7WuiW6L2yVhnnqSdb9Wpl75nQDnwcJP/sMahT9lSvGd4RHH6XCMVdYW9/1xoG0mGLw/vvwzjvs+WAeyRRlffnLODz2dfrseZOpdy1wFbA3DUe5cm4xmcRE+Pprd4+LLsr+GerXd9P8zZoFVapA7dpHsp1zxRUZ+zkVzh984D5vnTqBzxEREREp7LQMRx4sXuzGQFepAn/8AaVLZz8nfU7qceNg4EA39V2rVhnHV68uS1ISTKw+FIaPoxzQJnke1K4Nt95KcpE4ur29ntdOTgVvGfJ9ddrQaOsU5q2uRLPGqQyuPZMjZarxzrI6ULIkALWOu5nzNm2C2FhISXG9y1k1auSK6+LF3ctfYdyggZs3e+pUN7zFmOznnH02XHaZGy/dMofnZ6OioHXrwMdFRERETgcqrvNg06aMrb/COiXFDY1u2TJjGHTqcy/ApCFQvjz29jv4aNJ9dKuaQJNFz0NEBF91fZa4OZ9xwf5v4dlnKQL0SL9hdDSMH89vne7ht1NFcSQv/Xwlz98HlMx475gYuPBC12u+fz+UKOF/3uiGDd0S5n/+6Y77W+0wfUVEgAED4OBB//mYMQPWroUaNXLOm4iIiMjpTsNC8iAx0fValy0L7NkD//wnvPXWqepz8GBXePfvD7VrpFKl2EFaT7zPrXS4Zw/mqSfZvK0c0/e2waSmwsCB7BswhAtZza6hL0KfPkwrfxsri3fGLlgIyclwzz2cd56rszdvdrOIgP/FVDp1csXuF1+4/SyjSADXc330KGzZEni1w3bt4NJL4ZVX3AqKgcTE+F8YRkRERORMo57rPNi0yRWnx45BwlXPcuHX3mOFycmcuH0Qye9/wifNd9Lvn/diOlzCzmPZF01JwxCdfNSt6T1mDLW+BzB82+b/0fC2/0fv82D8eGjbOeOaIkXcmOXNm2HnTjfMxN+0dV26uGErBw+6GTz88R2iEai4Ll3azQQiIiIiIn+PiutcSk11D/kNGuSK3bIrvakyYmKgeXMOXtyTd47NhPXAJVPcHHXA7ogqVF43hwPVmlC5MvTp8R8+fTIZqlaFuDjO9eZQSUpyneHgf6x0w4ZuyAnAiy/6j7Ft24x9fw8qgvvHwezZroe7Xr3c5UBERERE/FNxnUupqTDjX8u5eMLNRFa9m/NSt/A7pYid9BlFLr+cSkd8ZtT45hswhmU9x3LF9NvZVqkkUz+H5BTo1PUg1M94ArBMGVdnJya60SOVKkHdutnf33ccdP/+/mOMiHDTAL76KjRrFvizdO/uv4AXERERkbxRcZ1LRYpAlykDYccPcP/9pBYtxrwTXTnrSHM6lirF5OQefNNrNOOuWOLGjbRuzckDzfhzuluR8aOPXK/xueceznbvxo3dkJM9e9w6Mf5m50gfzjF6tJtSL5CXXoKxY/0/qCgiIiIi+UOlV25t3uxenhPPPM8d91/Hw/8tSbGX13J130pMv9FAzwGnzml5yD2IOH06rF4NQ4f6L5wbN85YsKVDB/9vf/nl8PPPbgq8nEREuAUZRURERCR0VFzn1p49bunx6tVhyBBiu3Wj9POux9mYykD2qe9KlnRLe7/2mvvZd75rX75zTXfs6P8cY/66sBYRERGRgqHiOrc6dnRPHR496pZfJGM4x9Gjru72N1zj6qth7ly336oVbNuW/Zy+fd2Ud3/84e4jIiIiIoWL5rnOi4iIU4U1uOI6KcktJR5oFULfhw+rVPF/TpEibvaOjRv9DxsRERERkfCmnusgaNcOEhLc0I8WLfyfU6QIbN8OBw7kXDhHRZ1ayVxEREREChkV10HQo4d7/ZVzznEvERERETk9aViIiIiIiEiQqLgWEREREQkSFdciIiIiIkGi4lpEREREJEhUXIuIiIiIBImKaxERERGRIFFxLSIiIiISJCquRURERESCRMW1iIiIiEiQqLgWEREREQkSFdciIiIiIkGi4lpEREREJEhUXIuIiIiIBImx1hZ0DHlmjNkL/ASUB/YVcDi5pZhDozDGDIUzbsUcGoo5dApj3Io5NBTzmamGtbbCX51UqIvrdMaYtdbalgUdR24o5tAojDFD4YxbMYeGYg6dwhi3Yg4NxSw50bAQEREREZEgUXEtIiIiIhIkp0tx/VZBB5AHijk0CmPMUDjjVsyhoZhDpzDGrZhDQzFLQKfFmGsRERERkXBwuvRci4iIiIgUuLAsro0x7xlj9hhjEn3amhpjVhljNhljZhpjSnrtNY0xx4wxG7zXGz7XLDHGbPE5dlY4xOwda+Id2+wdj/HaW3g/bzfGvGSMMfkVc5DjDstcG2P6+8S0wRiTZoxp5h0LWa6DGHO45jnaGPOB1/69MWaYzzXhmuecYg5ZnvMQdxFjzASvfaMxpoPPNeGa65xiDuXv9NnGmMXef+/NxpjBXntZY8wCY8w2b1vG55phXj63GGMu92kPSa6DHHNIcp3bmI0x5bzzDxtjXslyr7DM81/EHK55vswYE+/lM94Y08nnXiGtPU571tqwewEXA+cDiT5t3wKXePu3AKO8/Zq+52W5zxKgZRjGHAUkAE29n8sBkd7+GqANYIC5QLdCEndY5jrLdY2B//j8HLJcBzHmsMwzcD0w0duPBf4L1AznPP9FzCHLcx7ivhuY4O2fBcQDEWGe65xiDuXvdGXgfG+/BLAVaAA8CzzktT8EjPH2GwAbgaJALeAHQvxndZBjDkmu8xBzcaA9MBB4Jcu9wjXPOcUcrnluDlTx9hsBO0Od5zPlFZY919baZcCBLM11gWXe/gKgb0iD+gu5jLkLkGCt3ehdu99am2qMqQyUtNausu63/UPgynCPOz/j8+d/+P24DvgUINS5DkbMoZbLmC1Q3BgTBRQDkoFDYZ5nvzHnV2w5yWXcDYBF3nV7gN+BlmGea78x51dsgVhrd1tr13n7fwLfA1WBXsAH3mkfkJG3Xrh/gJ2w1v4IbAcuCGWugxVzfsQWrJittUestcuB4773Cec8B4o5lPIQ83pr7S6vfTMQY4wpWhC1x+kuLIvrABKBnt7+1cDZPsdqGWPWG2OWGmMuynLdBO9rmeEF8DVHoJjrANYYM98Ys84Y8y+vvSqww+f6HV5bqOU27nThmGtf15JRqIZDrnMbc7pwzPMXwBFgN/AzMM5ae4DwznOgmNMVZJ4hcNwbgV7GmChjTC2ghXcsnHMdKOZ0Ic+1MaYmridvNVDRWrsbXMGC610Hl79ffC5Lz2mB5Pp/jDldSHP9N2MOJJzz/FfCPc99gfXW2hOEx58dp5XCVFzfAtxtjInHff2R7LXvBqpba5sD9wOfmIwxwv2ttY2Bi7zXjWEScxTu66T+3ra3MeZS3NcxWRXEdC65jRvCN9cAGGMuBI5aa9PHh4ZDrnMbM4Rvni8AUoEquK+ihxhjahPeeQ4UMxR8niFw3O/h/vJbC7wArAROEt65DhQzFECujTFxwGTgXmttTt9WBMppyHMdhJghxLnORcwBb+GnLVzynJOwzrMxpiEwBrgzvcnPaZpK7n9QaIpra22StbaLtbYFrifvB6/9hLV2v7cf77XX8X7e6W3/BD4h9F+N+Y0Z95fMUmvtPmvtUWAObuziDqCazy2qAbsIsTzEHc65TtePzD3ABZ7rPMQcznm+HphnrU3xvvZfgfvaP5zzHCjmAs9zTnFba09aa++z1jaz1vYCSgPbCONc5xBzyHNtjInGFSIfW2uneM2/eV+Npw9F2OO17yBzD3t6TkOa6yDFHNJc5zLmQMI5zwGFc56NMdWAqcBN1lrfv9sLvPY4nRSa4jr9aVtjTATwKPCG93MFY0ykt18bOA/4j/f1Y3mvPRq4AveVZYHHDMwHmhhjYr3xnpcA33lf3/xpjGntfY10EzA9lDHnJe4wz3V629XAxPS2cMh1bmMO8zz/DHQyTnGgNZAU5nn2G3M45DmnuL3//4p7+5cBJ621YfHnR25jDnWuvby8C3xvrX3O59AMYIC3P4CMvM0A+hk3LrUW7u+XNaHMdbBiDmWu8xCzX2Ge50D3Cds8G2NKA7OBYdbaFeknh8OfHacdGwZPVWZ94Xo8dgMpuH9R3QoMxj0JuxUYDacWwOmLG5i/EVgH9PDai+OeSE/wjr+I98R0QcfsnX+DF1ci8KxPe0uv7QfgFd9rwjXuQpDrDsA3fu4TslwHI+ZwzjMQB3zuxfUd8GC45zlQzKHOcx7irglswT28tBCoUQhy7TfmAvidbo/7ujsB2OC9uuNmPlqE601fBJT1ueYRL59b8JlBIVS5DlbMocx1HmP+L+4B2cPe71ODQpDnbDGHcyHk2gwAAAI+SURBVJ5x/+A94nPuBuCsUOb5THlphUYRERERkSApNMNCRERERETCnYprEREREZEgUXEtIiIiIhIkKq5FRERERIJExbWIiABgjLnTGFOmoOMQESnMVFyLiBRSxpjexhhrjKkXhHuNAA5Yaw8GITQRkTOWpuITESmkjDGTgMrAImvtyAIOR0REUM+1iEihZIyJA9rhFm/p57V1MMYsMcZ8YYxJMsZ87K24hjHmv8aYx40x64wxm9J7u40xxY0x7xljvjXGrDfG9PLaI40xY732BGPMnQX0UUVEChUV1yIihdOVwDxr7VbggDHmfK+9OXAvbrW42rgCPN0+a+35wOvAA17bI8BX1tpWQEdgrLdU+a3AH157K+B2bzltERHJgYprEZHC6Tpgorc/0fsZYI21doe1Ng23vHFNn2umeNt4n/YuwEPGmA3AEiAGqO613+S1r8YtqXxefnwQEZHTSVRBByAiIrljjCkHdAIaGWMsEAlYYA5wwufUVDL/OX/CT7sB+lprt2R5DwPcY62dH/xPICJy+lLPtYhI4XMV8KG1toa1tqa19mzgR6B9Hu41H7jHZ2x2c5/2u4wx0V57HW+4iIiI5EDFtYhI4XMdMDVL22Tg+jzcaxQQDSQYYxK9nwHeAb4D1nntb6JvO0VE/pKm4hMRERERCRL1XIuIiIiIBImKaxERERGRIFFxLSIiIiISJCquRURERESCRMW1iIiIiEiQqLgWEREREQkSFdciIiIiIkGi4lpEREREJEj+Pz6+I7kohNVtAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 864x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Créer la figure\n",
"plt.figure(figsize=(12, 6))\n",
"\n",
"# Courbe brute : oscillations saisonnières\n",
"plt.plot(data[\"year\"], data[\"seasonally adjusted(ppm)\"], label=\"CO₂ mensuel (moyenne brute)\", color=\"lightgray\")\n",
"plt.plot(data[\"date?\"], data[\"CO2(ppm)\"], label=\"CO₂ oscillation périodique\", color=\"blue\")\n",
"\n",
"# Courbe lissée : tendance à long terme\n",
"plt.plot(data[\"year\"], data[\"seasonally adjusted filled(ppm)\"], label=\"CO₂ (tendance lissée)\", color=\"red\", linewidth=2)\n",
"plt.plot(data[\"date?\"], data[\"seasonally adjusted(ppm)\"], label=\"CO₂ (évolution systématique plus lente)\", color=\"red\", linewidth=2)\n",
"\n",
"# Mise en forme\n",
"plt.xlabel(\"Année\")\n",
"plt.xticks(np.arange(1955, 2025, 5))\n",
"plt.ylabel(\"CO₂ (ppm)\")\n",
"plt.title(\"Évolution du CO₂ atmosphérique à Mauna Loa\\nOscillation saisonnière et tendance à long terme\")\n",
"plt.legend()\n",
......
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