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@hestiwahyuningsih
Created December 3, 2025 12:41
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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"id": "46612f73-3358-4c37-a98c-606032bc3e87",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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SbNtSarJisZi7f/Hpp592J8RBgwbJgQMH5Ne//nWTYVQTqdqPGT8x9ujRQ5a+tVdi6dnn/Zpf9jBnCvCamoBUFB/+uFQqY/78ZmYD07dTUJOjmhRVFB84uksqJRbI1zRVn27/daP4dM4/pDqtNuynoy+nxpdPG1oYO3To4Mbt0KFDDW5XH3fp0iXhY9SRqGrfYvyy6RVXXCHl5eXu0mxW1pn9J/HUkavq0lhVjSOx9PP/EMva0/wfdCd62RlR9cPexB/4QTN2O5VlBrrfUUWRMJ7brs8vEmkvbhSrCGOT0n3aNqEt9quIqYlvw4YNDSZC9bHaj5jI8OHD3eVTdb86n376qRvMRFEM2oV7nWZfAN1wSgdwRqh7wdUS5/Lly+XZZ5+VTz75RO644w45efJk/VGqkyZNanBwjvp7dVTqnXfe6QZRHcG6aNEi92Ac0xBP6Ig46mXvgQ5hP4VICnUf47hx46SiokLmzZvnLofm5+dLUVFR/QE5ZWVl7pGqddS+wddff11mzZolV111lXseo4qkOirVRvGTpa3LtNAP5zsi6kI/+GbmzJnuJZGSkpKzblPLrO+9955ETePlV0IJP3G+oz44vzF4nFBkKPZXIggsreqBl4wLFmG0AAf2wE/EUQ/EMUJLqfAe+ybhNfY7IkqYGC3HNAmvMDmGj6kxGIQxYtg3iZYgjuEjjv4jjBHGNIlUEMfwEUd/sY8R9dg3ieZinyNsxsSIJiN5wb4z507WXQPxmBzDxdToH8KIZmHfJBIhjuEijv4gjEgakUQ84hgu4ug9wogW4d1CoBBH2IQwwhMEEsQxPEyN3iKM8BSBjDbiCBsQRviCQEYXcQwHU6N3CCN8RSCB4BBHbxBGhPJ+krAbUyNMRhgRGKbHaCGO4WBqbDnCiMARyOggjjARYURoCGQ0EMfgMTW2DGFE6Aik/Yhj8Ihj6ggjtEEgAeiAMEI7BNJO2ftbhf0UIoepMTWEEdoikADCQBihPc6BtAuTY7CYGpNHGGEEpke7cDBOsIhjcggjjEIgAfiNMMJIBNJ8TI3BYmr0MYyTJ0+Wt99+O9mHAb4gkGYjjrAijMeOHZNRo0bJZZddJosWLZIDBw7488yAJBBIcxHH4DA1+hTGV155xY3hHXfcIWvWrJG8vDz5wQ9+IGvXrpXq6upkPx3gKQJpJuIYHOLo0z7Gjh07SkFBgXz44Yfyj3/8Q/r06SMTJ06Ubt26yaxZs+Tf//53Kp8W8AyBNA9xhBUH3xw8eFCKi4vdS0ZGhtx4442yfft26d+/v/z2t7/17lkCKeIcSOBsTI0eh1Etl/7lL3+RH/7wh9KrVy958cUX5a677pLPP/9cnn32WXnjjTfkhRdekIceeijZTw34gunRHEyN0EFmsg/o2rWrxGIxGT9+vGzevFny8/PPus/IkSOlffv2Xj1HwLNAnuiVxtY0II6VPavCfhqRmBrzuleE/TTsCKNaIv3JT34irVu3bvI+Kop79uxp6XMDPEcczUAcg0EcPVpKVQfZnCuKgO7Y72gGllURFl75BpHEfkfgDA7EORthRKQxPeqNqRFhIIyIPOKoN+LoP6bGhggjwOSoPeKIIBFG4Gvsd9QbcfQXU+M3CCPQCEur+iKO/iKOZxBGIAHiCEQXYQSawNKqnpga/VW6v6NEHWEEzoPpUT/EEX4ijEAzEEf9EEf/lEZ8aiSMQDMRR/0QR/+URjiOhBFIAvsdAfsRRiAFTI/6YGr0T2lEp0bCCKSIOOqDOMJLhBFoAeKoD+Loj9IITo2EEWihC/Y5bENNEEd4gTACHiGQsFVpxKZGwgh4iKXV8DE1oqUII+Ax4ggblUZoaiSMgA+IY7iYGtEShBHwCXEEzEQYAR8Rx/AwNXqvNCLLqYQR8BlxDA9xRCoIIxAA4ghblEZgaiSMQECIYziYGpEswggEiDjCBqWWT42EEQgYcQweUyOMC+PSpUslLy9PWrduLUOHDpXNmzc363GrV6+WtLQ0GTt2rO/PEfAScQT0FXoY16xZIwUFBTJ//nzZunWrDBw4UEaPHi2HDx8+5+NKS0vll7/8pYwYMSKw5wp4iTgGi6nRW6UWL6eGHsbCwkKZOnWqTJkyRfr37y/Lli2TnJwcWblyZZOPqa2tlVtuuUUWLFggl156aaDPF/AScQT0kxnmF6+qqpItW7bInDlz6m9LT0+XUaNGyaZNm5p83EMPPSSdOnWSW2+9Vd55551zfo3Kykr3Uuf48ePudVZmmsTS0zz577CV2kbx1/BnO33rgMiXPezfxtlf/3uruw7lOezPlsru1aK77K9nlrprXR3c31l65R4J7wk4jn1hPHLkiDv9de7cucHt6uMdO3YkfMy7774rK1askG3btjXrayxevNidLBubMbKXO5ni/GZdfwmbie3kmbn98/h+aqaF7fvov61O9g3tS586fUqKbQtjsk6cOCETJ06U5cuXS4cOHZr1GDWNqn2Y8RNjjx495H9W7VK/4yd8zLFLEt8eNWoCUlH8bfEeqarhzXj93k62T41qUlRRfPjjUqmMhfv9pPvUqCZFFcUHju6SSomJznqFOjHW+PJpQw2jiltGRoYcOnSowe3q4y5dupx1/88++8w96GbMmDH1t8ViZ75pMjMzZefOndK7d+8Gj8nOznYvjdXUxOof21ibnV81+ZyP9T77c9lO/bAnjP5vp6w9jpzoZXccFRXFsMMoZZlS2bNKdKeiqHsYPz1wseR1rwjla6en1doXxqysLBk0aJBs2LCh/pQLFSv18cyZM8+6f79+/WT79u0Nbps7d647ST7xxBPuJOi3dp99s7+ysShGE94fjBOFOAI6C30pVS1zTp48WQYPHixDhgyRJUuWyMmTJ92jVJVJkyZJbm6uu69Qnec4YMCABo9v3769e9349jAQTXiBOAZ3+oYJU6Mpp27khTQ1WhnGcePGSUVFhcybN0/Ky8slPz9fioqK6g/IKSsrc49UNR3RRDKIIxDhMCpq2TTR0qlSUlJyzseuWrVKbI0mS7OAv5gavVNq0dRo/ihmMRXMc02asBsn/wPhIIwGIJDRRRz9x0vFoTHCaBACGU3E0X/E0Rullrx+KmE0EIGMHuIIBIcwWhBI9kMCLcfU6I1SC6ZGwmgJAmk/pkYgGITRMgTSbsTRX0yN3jB9aiSMliKQ9iKOgL8Io+UIpJ2Io3+YGkEYI4JAAghSqcHLqYQxYjiS1R5Mjf5haow2whhhTJHmI47+IY7RnRoJIwik4Ygj4C3CiHpMkEBDTI3RnBoJI85CIM3D1Ah4hzCiSe32VDW4ht6Ioz+YGqOHMKJZmCLNQByho1LDllMJI5JCIPVHHL3H1BgthBEpIZAAbJ0aCSNahLe80hNTo/eYGqODMKLFiCMAmxBGeII46oep0XtMjdFAGOEZ4gjAhv2MhBGeIo56YWoEkkcY4TniqBfi6C2WU+1HGOEL4gjA1OVUwgjfEEd9MDUCzUcY4SviCBuxnGo3wgjfEUc9MDVCF6WaL6cSRgSCOMI2TI32IowIDHEMH1MjcH6EEYEijgB0RxgROOIYLqZG77Ccaud+RsKIUBBHALoijAgNcQwPUyPQNMKIUBHH8BBHb7Ccat9yKmFE6IgjAJ0QRmiBOIaDqdEbTI12IYzQBnEEoAPCCK0Qx+AxNSJMpRruZySM0A5xhIlYTrUHYYSWiGOwmBqBbxBGaIs4AtFQqtlyKmGE1ohjcJgaW47lVDsQRmiPOAIIEmGEEYhjMJgaW46p0fzlVMIIYxBHAEEgjDAKcfQfUyOijjDCOMTRf8SxZVhONRthhJGII2CfUk32MxJGGIs4+oupEVFFGGE04ghdsZxqLsII4xFH/zA1IorLqYQRViCO0BFTo5kII6xBHP3B1IioIYywCnEE0FKEEdYhjt5jakwdy6nm7WckjLAScQSQKsIIaxFHbzE1IioII6xGHKEDllPNWk4ljACajakRUUAYYT2mRgDJIIwAAOgWxqVLl0peXp60bt1ahg4dKps3b27yvsuXL5cRI0bIRRdd5F5GjRp1zvsDClMjwsZ+RnOEHsY1a9ZIQUGBzJ8/X7Zu3SoDBw6U0aNHy+HDhxPev6SkRMaPHy9vvfWWbNq0SXr06CE33HCDHDhwIPDnDkQR+xlhu9DDWFhYKFOnTpUpU6ZI//79ZdmyZZKTkyMrV65MeP/nnntOpk+fLvn5+dKvXz955plnJBaLyYYNGwJ/7jALUyNgltKQjkzNlBBVVVXJli1bZM6cOfW3paenu8ujahpsjlOnTkl1dbVcfPHFCf++srLSvdQ5fvy4e52Zma7D7wVaa9UqvcG1DbIy03z7nH58bl1lp6el/JhUHmuP5v1byv76fnXXUZblZDT9l45jXxiPHDkitbW10rlz5wa3q4937NjRrM8xe/Zs6datmxvTRBYvXiwLFiw46/ZJP+/jTqY4v1un9mUzNcOs6y9hOzXD3P55bKdmWti+D9vqZNM/f06dPiXFtoWxpR599FFZvXq1u99RHbiTiJpG1T7M+IlR7Zf887x3RGrO/OdX980N7DmbRE2KKoorln8q1dUxscWxS7I8/XxqUlRR/G3xHqmq8ec3WB192SO5yU9NiiqKD39cKpWx6Gynxiq7V5/3PmpSVFF84OguqRR7/u2lolfukab/0qkRsS2MHTp0kIyMDDl06FCD29XHXbp0OedjH3/8cTeMb7zxhlx11VVN3i87O9u9NFZdFROpqj3zwf+V1d9e1a978v8hllNRrFLbyxJ+xUt93iiFsTLFbwkVxUiHMYnQqftGPYxVaV//nE4g/Rx/1xKhLmBnZWXJoEGDGhw4U3cgzbBhw5p83GOPPSYLFy6UoqIiGTx4sLfPacf++gvsxEE4ALReSlXLnJMnT3YDN2TIEFmyZImcPHnSPUpVmTRpkuTm5rr7CpVf/epXMm/ePHn++efdcx/Ly8vd2y+44AL34qX4ODJJAmeftnGiV5QPpEFQR6bmda+QSIVx3LhxUlFR4cZORU6dhqEmwboDcsrKytwjVes89dRT7tGsP/7xjxt8HnUe5IMPPujb8ySS9k2Nx3qfvcQOBHGif2XPKja0xkIPozJz5kz3kog6sCZeaWmphI1IAoC9OEmmhdgnaS72NbYcr4IDG2kxMdqCSRIAzMfE6BMmSTMwNSIMvKC43ghjAIgkbMZyKmx7zVSWUgPGcqt+OEIVQDzCGCIiCQD6IYyaIJLhYmoEUId9jBriJelgGvYzJo8DcPRFGDXG67UCQPAIo+aIY3A4dQPQV5BHphJGAxBHmIDlVNiCMBqCOAaDqREAYTQIcQTswgE4eiKMhiGO/mNqBKKNMBqIOEJX7GeEDQfgEEZDEUd/MTUC0UUYDUYcAcB7hNFwxNE/TI2pYTk1ORyAox/CaAHiCADeIYyWII7+YGoEoocwWoQ4ArBdaQBHphJGyxBH7zE1Jo/9jMlhP6NeCKOFiCMApI4wWoo4AkBqCKPFiKN3WE5NHsupMBVhtBxxBIDkEMYIII7eYGqEnzgAR58jUwkjAABxCCMAAHEIY0SwnAoAzUMYAfiGI1NhIsIIAEAcwhghLKe2HEemAvYjjAAAxCGMAADEIYwRw3IqAJwbYQQAIA5hBAAgDmGMIJZTAaBphBFIEqdsAHYjjACgCd5hQw+EMaJYTkVQeFk4mIYwAgAQhzACABCHMEYYy6kATFW6v6Nvn5swAgAQhzACKeCUDcBehDHiWE4FgIYIIwAAcQgjAABxCCNYTgWAOIQRgO949RuYhDACABCHMMLF0anJ45QNwE6EEQA0wjtshI8wAgAQhzCiHsupAEAYAQBogIkRAIA4hBENsJwKIOoII9ACnLIB2IcwAgAQhzDiLCynwg8X7HPYsPBU2cFvibVhXLp0qeTl5Unr1q1l6NChsnnz5nPe/8UXX5R+/fq597/yyitl/fr1gT1XAIDdQg/jmjVrpKCgQObPny9bt26VgQMHyujRo+Xw4cMJ779x40YZP3683HrrrfLBBx/I2LFj3ctHH30U+HMHANgn9DAWFhbK1KlTZcqUKdK/f39ZtmyZ5OTkyMqVKxPe/4knnpDvf//7cvfdd8sVV1whCxculKuvvlp+//vfB/7cbcZyKoCoygzzi1dVVcmWLVtkzpw59belp6fLqFGjZNOmTQkfo25XE2Y8NWG+8sorCe9fWVnpXuocO3bszB8ya7z5j7BalZw6dcq9Tk+Phf1ktNVuT427ndJjlZIeYz9aU9Jjae52yqyqlFq207mdrpVTWack83SV1Ar/9pqito/iOI49YTxy5IjU1tZK586dG9yuPt6xY0fCx5SXlye8v7o9kcWLF8uCBQvOur1o94oWPfdIKBMp+lvYT8IMbKfm+ftyn/9HWGRC2E/AIP/5z3+kXbt2doQxCGoajZ8wjx49Kr169ZKysjJPN6SNjh8/Lj169JB9+/ZJ27Ztw3462mI7sZ34ngqHWgHs2bOnXHzxxZ5+3lDD2KFDB8nIyJBDhw41uF193KVLl4SPUbcnc//s7Gz30piKIj/sm0dtJ7YV28krfD+xrbymdsF5+vkkRFlZWTJo0CDZsGFD/W2xWMz9eNiwYQkfo26Pv79SXFzc5P0BADBqKVUtc06ePFkGDx4sQ4YMkSVLlsjJkyfdo1SVSZMmSW5urruvULnzzjvluuuuk9/85jdy0003yerVq+X999+Xp59+OuT/EgCADUIP47hx46SiokLmzZvnHkCTn58vRUVF9QfYqH2B8WPyNddcI88//7zMnTtX7rvvPrnsssvcI1IHDBjQrK+nllXVOZOJllfBtkoF31NsJ6/xPRXudkpzvD7OFQAAg4V+gj8AADohjAAAxCGMAADEIYwAANgeRt7Gyp9ttXz5chkxYoRcdNFF7kW9pu353iIsqt9TddTpRGlpae47wERBsttJvRLVjBkzpGvXru6RhX379o3M28glu63UqWyXX365tGnTxn1FqlmzZslXX30lNnv77bdlzJgx0q1bN/ffUVOviR2vpKTEfWMJ9f3Up08fWbVqVfJf2LHM6tWrnaysLGflypXOv/71L2fq1KlO+/btnUOHDiW8/9///ncnIyPDeeyxx5yPP/7YmTt3rtOqVStn+/btju2S3VYTJkxwli5d6nzwwQfOJ5984vz85z932rVr5+zfv9+xWbLbqc6ePXuc3NxcZ8SIEc7NN9/s2C7Z7VRZWekMHjzYufHGG513333X3V4lJSXOtm3bHNslu62ee+45Jzs7271W2+n11193unbt6syaNcux2fr1653777/feemll9TZE87LL798zvvv3r3bycnJcQoKCtyf57/73e/cn+9FRUVJfV3rwjhkyBBnxowZ9R/X1tY63bp1cxYvXpzw/j/96U+dm266qcFtQ4cOdX7xi184tkt2WzVWU1PjXHjhhc6zzz7r2CyV7aS2zTXXXOM888wzzuTJkyMRxmS301NPPeVceumlTlVVlRM1yW4rdd/vfe97DW5TP/yHDx/uRIU0I4z33HOP8+1vf7vBbePGjXNGjx6d1Neyaim17m2s1BJfMm9jFX//urexaur+Ud5Wjam3EKqurvb8BXxt2E4PPfSQdOrUyX1D7ShIZTu9+uqr7ks5qqVU9YIe6kU6Fi1a5L7jjs1S2VbqhU3UY+qWW3fv3u0uOd94442BPW8TePXzPPRXvjHtbayivK0amz17trv23/gbMerb6d1335UVK1bItm3bJCpS2U7qh/ubb74pt9xyi/tDfteuXTJ9+nT3ly31aia2SmVbTZgwwX3ctdde6773YE1Njdx+++3uq3/h/D/P1TvgnD592t0/2xxWTYwIzqOPPuoeWPLyyy+7Bw/gjBMnTsjEiRPdA5XUu8egaeoNA9RUrV7nWL2ZgHp5yPvvv1+WLVvGZktwQImapp988knZunWrvPTSS7Ju3TpZuHAh28oHVk2MQbyNVZS3VZ3HH3/cDeMbb7whV111ldgs2e302WefSWlpqXskXXwAlMzMTNm5c6f07t1bbJPK95M6ErVVq1bu4+pcccUV7m/9arlRvfuOjVLZVg888ID7C9dtt93mfnzllVe6b7Ywbdo095cJr992yVRN/TxXb3XW3GlRsWpr8jZW/m4r5bHHHnN/S1Uv9K7eEcV2yW6nfv36yfbt291l1LrLj370Ixk5cqT7Z3WYvY1S+X4aPny4u3xa94uD8umnn7rBtDWKqW4rtT+/cfzqfqHg5a59eFtCx8LDoNVhzatWrXIP1502bZp7GHR5ebn79xMnTnTuvffeBqdrZGZmOo8//rh7CsL8+fMjdbpGMtvq0UcfdQ8xX7t2rXPw4MH6y4kTJxybJbudGovKUanJbqeysjL3qOaZM2c6O3fudF577TWnU6dOzsMPP+zYLtltpX4uqW315z//2T0l4W9/+5vTu3dv96h6m504ccI9PUxdVK4KCwvdP+/du9f9e7WN1LZqfLrG3Xff7f48V6eXcbrG19S5Kz179nR/iKvDot977736DXfddde5P6jivfDCC07fvn3d+6tDfdetW+dERTLbqlevXu43Z+OL+kdru2S/p6IYxlS208aNG93To1Qk1KkbjzzyiHuqSxQks62qq6udBx980I1h69atnR49ejjTp093/vvf/zo2e+uttxL+zKnbNupabavGj8nPz3e3q/qe+sMf/pD01+VtpwAAsHUfIwAALUUYAQCIQxgBAIhDGAEAiEMYAQCIQxgBAIhDGAEAiEMYAQCIQxgBAIhDGAEAiEMYAYtUVFS4b72j3ruvzsaNG913dGj8rgMAEuO1UgHLrF+/XsaOHesG8fLLL5f8/Hy5+eabpbCwMOynBhiBMAIWmjFjhvtG0uo9M9X7Q/7zn/+U7OzssJ8WYATCCFjo9OnTMmDAANm3b59s2bLFfcd3AM3DPkbAQp999pl8/vnn7jvDl5aWhv10AKMwMQKWqaqqkiFDhrj7FtU+xiVLlrjLqZ06dQr7qQFGIIyAZe6++25Zu3atfPjhh3LBBRfIddddJ+3atZPXXnst7KcGGIGlVMAiJSUl7oT4xz/+Udq2bSvp6enun9955x156qmnwn56gBGYGAEAiMPECABAHMIIAEAcwggAQBzCCABAHMIIAEAcwggAQBzCCABAHMIIAEAcwggAQBzCCABAHMIIAEAcwggAgHzj/wNMkLrgziT11AAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 480x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"\n",
"x = np.linspace(0, 1, 10)\n",
"y = np.linspace(0, 1, 10)\n",
"\n",
"X, Y = np.meshgrid(x, y)\n",
"Z = np.sqrt(X**2 + Y**2)\n",
"\n",
"plt.figure(figsize=(4.8, 4.8))\n",
"plt.contourf(X, Y, Z)\n",
"plt.grid()\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "8251f3bd-8c67-46c8-9a9b-e7b520fe9905",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 800x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"temperatur = [300,1300,2300,3300,4300,5300,6300,7300]\n",
"lambda_teori = [9.66e-6,2.23e-6,1.26e-6,8.78e-7,6.74e-7,5.47e-7,4.60e-7,3.97e-7]\n",
"\n",
"colors = [\"#7F0000\",\"#FF0000\",\"#FF8C00\",\"#FFD700\",\n",
" \"#00FF00\",\"#00BFFF\",\"#0000FF\",\"#8A2BE2\"]\n",
"\n",
"plt.figure(figsize=(8,5))\n",
"for i in range(len(temperatur)-1):\n",
" plt.plot([lambda_teori[i], lambda_teori[i+1]],\n",
" [temperatur[i], temperatur[i+1]],\n",
" color=colors[i], linewidth=3)\n",
"plt.scatter(lambda_teori, temperatur, color=colors, s=80, edgecolor='black')\n",
"plt.title(\"Hubungan Panjang Gelombang Maksimum vs Temperatur\\n(dengan Gradasi Warna Spektrum)\")\n",
"plt.xlabel(\"Panjang Gelombang Maksimum (m)\")\n",
"plt.ylabel(\"Temperatur (K)\")\n",
"plt.grid(True, linestyle='--', alpha=0.6)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "2135bc7f-17ed-4a36-95eb-ddc00b45cc35",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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EXM6hnF9p2/U40iBfqohkvLL0kO8R+Y6RRapLk5cSyXUrQaVUtUp6pcRGAnsJKjNb6iGBnaXP7ePIe5O8lte6ceOG+vzIedLnebREmmQfqcqWsfik1kKeL9/VqZV06teUlJbKtSQ/qKUkUq5/S39npIdcm1IyK98P0uHH0qSGR64juZ7JDtm6+6e9kKxYvXp14vq6devUtly5ciVZPDw8TC+//LLa5/r166rr9ttvv206fPiw6bffflNdkJ9//vkkXbldnT7Mg3THT43kmfmQGHp39r59+5ry5s1rypMnj8rzsLCwNLuinzx50vTiiy+qffPnz28aMmSI6eHDh1k6ZvIhDvT3Yd4NPTIyUg3TUKBAATV8QYcOHRKHOEg+REDv3r1NhQoVUvtJd/9Tp06pLvLmwwaklVf6cALyNzNDYiTPXyGvm7yL/tq1a02VKlVS13ny4QCOHDli6tSpkxrawtvbWz1X8nD79u0Zzjt5Tvv27U3FihUzeXl5qb8ynMCZM2ceOSSBDMHwxhtvmPz8/NQwDOZfYYsWLVKfR0lbhQoV1PP09OjS87ppkWFE5Px98MEHj81zUa9ePdMrr7xiyogGDRqoY/Xr1y/FYz///LOpefPmpsKFC6u0BwQEmAYOHKi+h9IrrWFPsnJu5TqS78bkkl93+jUsw1KMGTNGvQ8ZlqFNmzamixcvpnh+VtIkrly5ooZiyZcvn/rMv/TSS6Zr166l+LwLOacyVIfBYEhynWb1OyOzZIgfuY9kdUiM1Lzzzjvq2uE9yj4xKEsjKFu+fLkaF0punGfPnk2y6F+C48aNM9WpUydJhl6+fFkdS8agItckNxO5BpYtW2brpJCFTZo0SY2V9bixwuQakKBR/lLSoOynn35iljyGjKMmAWJ6fixkRHR0tBqfcMaMGTwHdoptyh4xobBUR0r1hhStmy/6qNsyxovewD95WwZLjb1E9k2GukhOqmPkukg+kjk5PuldLe2cHjeHoVR5yfhb9jCxOzkeGV+vefPmSaZCswRpeiPVs5YYT42sw6XblMmXq3lPOWlvIF3Opc2DtBmR6Vr0ecQkSJMGptKjRxrXSr2/LDI1h7RTkelPpPGqzOkmbVVkf3J+8qUpbTRk7kJpB6IPVSBtQWRMMnIuMqyC/FB7nPRMPE30KPI9YmkSjDEgs28uXVImPakkeNIDKBlvTP6vd6HWxwB666231OjU0kVd5jDUB0+UBrcyBpL08JLnSSNj6cIunQE4/otrkB5M0mj2gw8+UNeJNAKWeQyT9wYlIiJ6HDepw3zsXkRERERkVS5dUkZERERkLxiUEREREdkBl2voL70ir127pgbH5GSsREREZG3SUkw6A8pg9MlHbXDpoEwCMvaKIyIiouwm8+HKjBxpcbmgTErI9IyRqTisQab1kCk9ZJwZzoHJvHUUvG6Zt46G1yzz1lGEh4erAiE9BkmLywVlepWlBGTWDMpkzjs5PoMy5q2j4HXLvHU0vGaZt47mcc2m2NCfiIiIyA4wKCMiIiKyAwzKiIiIiOyAy7UpS2/X1fj4eDUheWbbOcg8iNHR0Zk+BjFvs5s1rlt3d3d1TA4/Q0T0eAzKkomNjcX169cRFRWFrAR1/v7+qocnb0aWxbx1vLyVTi9FixaFl5eXxY5JROSMGJQlG1g2JCRE/bqXAd7kJpKZm5Mc58GDB8idO/cjB4mjjGPeOk7eSpAnP3Ju3rypPldPPfUUPw9ERI/AoMyM3EDkxiRjiciv+8ySY8ixfHx8eBOyMOatY+Vtjhw51LAwFy9eTDw2ERGljsU4qWUKS7eILIafJyKi9GFQRkRERGQHWH1JRERELsmYYEJwyB2ERUSjcB4f1C1dAO4Gy3V0yiiWlFnxRP/+722sPXoVB87fVuuU0oULF1RniqNHj1o9e+R11qxZY5FjLV26FPny5bPIsYiIKPttOn4dz36yA10X/I43lx9Vf2VdttsKgzIr2HQ8FK3nHES3hcHZdqJ79eqlgg5ZpGF1kSJFEBQUhMWLF6sG3LYKOKTXXbdu3VRvVmnk/cQTT6B9+/Y4deqUelw6VcgQJFWqVIEj6dKlC86cOWPrZBARUSbI/XjQssO4fj86yfbQ+9Fqu60CMwZlFiYn8vXvj+BGRGy2n+iWLVuqAEdKnzZu3IgmTZrgzTffxAsvvKAGw7XFYKQSGN6/fx+rVq3C6dOnsWLFClStWhX37t1T+8jwIzI2lgww6kikV2HhwoVtnQwiIsogqbma+OtJmNdf5YE2Nqm+TR63RQ2XTYOy3bt3o23btqoUJb1VSzExMRg7dixKliwJb29vlCpVSpUG2euJ1mXHiZb8kACnePHiqFWrFt59912sXbtWBWhS+qWbPn26Coxy5cqlSqoGDx6sxqcSu3btQu/evVUgpZe8TZgwQT327bffok6dOsiTJ496HSkBCwsLSzM9J06cwPnz5zF79mw888wz6pw1aNAAH374oVpPrfpSXl/WN2/ejJo1a6rgp2nTpup15H1UrlwZAQEB6N69e5IBfuU6mDFjRpLXr1GjRmLaU/POO++gXLlyaviTMmXK4L333lOBpO7YsWMqsJX36+vri9q1a+PgwYPqMVZfEhE5puCQO4klZJ6IxzseP2CH91vwg1ZYIHdoeVz2c6mgLDIyEtWrV8esWbPS/ZyXX34Z27dvx6JFi1TJyw8//IDy5cvD3k50amxxoiWgkTyWkirzIQq++OILFTR9/fXX2LFjB0aNGqUeCwwMVMGNBCFS6ibLyJEj1WMSsHzwwQcqWJEAWgIqqTZNi5+fn3qtn3/+OcPT9kgw9dVXX2H//v1qhHk575KuZcuWYfny5di6dSu+/PJLZIUEWxJcnTx5EjNnzsSCBQvw+eefJz4ugZ9Ut/755584dOgQRo8eraqGiYjIcYVFaPfpMm7XsMrrfQzy+BV+bvfRyv2PVPfLTjatM2rVqpVa0mvTpk347bff8O+//6JAgQKJJSSPK1mTRRceHp4YYJiXiujbZBRyaYOV0XZY4kb4w3Tvl5njP4qkW097chK0/v3334mPDR06NPExKXWaNGmSKi2TIEiqESVYkdIq8+o5ea55AKaXTNWrV0/lqYwCn5xMrSPBjpRITZw4UZWyNW7cWJWwScmUflz9r3m+S5rq16+v/t+nTx9V6nf27FmULl0aERER6Ny5swom33777SR5kPz9J99m/hpyTPN8eOutt1T1qh6EXrp0SW2T0jRRtmzZFMew9Hm0Jckr/a8l35ccS44pny+prnZF+ndN8u8cYr7aK2e+ZgvmcEc39+14z+Nb5HCLxV1TboyO64/NCU8n3S+nh8Xef3qP41ANeX755Rd1Y586daqqSpPqt3bt2qnSG6nmSs2UKVNUQJDcli1bUozaLwGJVMtJVZ6MPp5RuQzGdO+nB4eWIidc2o2ldlw92NQfkypCKRGSIEcCHHmeTEIdGhqq8kT+b76/TqoYP/74Yxw/flxVb+o3bilpqlChQqrpeuWVV1TD/r1796qqPwl65Jx8//33qmpQrzaVUlN5Pb1KUoIv/fWl1E7SVahQIZVeIR0RJL36PpIWSbd5mqV0TgJy820PHz5MXJfSw3nz5qkSP3l9yQcJSPXHJVAdMGCAKk1s1KgROnTooNIl0sojZ6DnsaXIZ0nyXZor2KJtoz2REl5ivjoSZ7tmveLCUePSInzkeUSt7zFWwVtxgxCG/GZ7mZDPC7h58nds+Mcyr5ve+bQdKiiTEjK5uUsvvtWrV+PWrVvqxnn79m0sWbIk1eeMGTMGI0aMSFyXm6i0o2revLm62ZuTG61UlUmpT2amg2lcOQ/8fc/hRnh0qu3KZOQT/7w+aFz5CYuPgyLVahJUJn9P4ty5c6pkSh6TAOT//u//8Nprr6ngSEocJU/79++v3rPsI3+lpMz8WBK0vPjiiyrfvvvuO1U1KSVJUtIpc4Sm9ro6eUx6K8oiAbV0SJBSNgnW9BI2CbD14EtIuvRj6lP1yLoEQhI0SPs58zTKe5dt5umQQC35NjmWrB84cEAFXFJNKu8pb968KmCU9nb6/h999JEqHdywYYNqzyYBqQSTHTt2TDWPHJ2et3pJqaXI50ry/bnnnnPZaZbkh5Hc3KTjC6vAma+OwBmvWbfzO+D+60i4RYbBaPDERzFdsMTYEglmLbm0bz43fNipOlpULmKx107vD3iHCsrkJis3CwkK5CYq5CYqwYI0Jk+ttExuyrIkJxdZ8gtNSlbk+NIOKjNTw8hTJrSrpHpZyok1D8z0W9z4tpXg6WH5Khy9UX7ydEsVn1RdDh8+XD125MgRlY+Sb/q+0uZLS7/2vuXGKXlhfiwZ/kGC308++UQFteLw4cNJnpdeFStWVG3FzJ+n/z/5uv5//a9eOqcHDfpjEiRKyZm+Lh8AGY4jeZ7ox/39999Vx4Nx48YlPiZBpvkxhZQAyiKBfdeuXVWpmVSdJk+bMzDPW0u+LzmWPlSLs3y5ZxbzgPnqaJzimo2LBrZNAP6Yo637VYB754V4+lYhbPj1ZJK24FJwIvfpllWKWjQJ6c1DhwrKpI2S9CzUAzL9Bi+/8K9cuYKnnnoKtiYncla3mpj464kkw2JY60Sbk6o6CUwkoLpx44ZqgyelYTIkRo8ePdQ+Tz75pPoFJI3kpefrvn37MHfu3CTHkfZiUq0oHSqkk4CUXkmbKykRk+dJKZtUYUq18aNIdef48ePx6quvolKlSur50iZQestKOzNLd2iQRvvynqRq8/33339k+yW5ViQIk04DTz/9NNavX69KX3VS3Sbt1STglypLub6kwb8EZERE5CBunABW9gPCTmrrdQcAQZMAzxxo6Q8EVfK3qxH9HSook+EUfvrpJxUw6NVeUoIjv8Sll5y9aFnFH/WeyIHTd+Jx80Fstp1oCcIkcJWqvPz586uASnpZ9uzZM7HkQ7ZJKZmUeEnVrlQpSeCmB216D0wJvKS6UUrHJLCSaj4JeqRxvBxThtz49NNPVZu+tMg5kQBP2vTpQ1/o61JyZ0nyXqRkTAJQCdolYJT1tEi6JQ1DhgxRwWybNm3UkBj6EBoS0Ml7l3yRAFfas3Xq1CnV9olERGRnEhKA4HnA1vGAMQbI5Qe0nw2Ua55kN7kv1y9bEPbCzaR3ubIBCa6kvZOQMakkWJDG39KeSEpm5EZ79epVfPPNN4n7S8mYjHElN0dpU9avXz/VCFuGM0gPqdaSm7Y0VE+tTZncyKVkJCttX6QaSF5Hju9M1Vv2gHnreHlrqc+VI5PSaWmb2Lp1a8evCrIjzFfmbaoiQoE1g4Hz27X1ci2Bdl8Buf1gK4+KPeympEx640kQptMb5EvJjpTKyBhZejsfIaVj0vDwjTfeUL0wCxYsqMavksFIiYiIyMWdWg/88gYQdRvw8AFaTAbq9JXGsnAENg3KZMyqRxXUmY9Cr5NG187WRZeIiIiyIDYS2DwWOPTfSAz+VYHOiwA/+xhc3inblBERERElce2I1pj/ttYcCoFDgabjAI+UIy/YOwZlRERE5HgSjMD+L4AdHwIJ8UCeYkDHOUCZxnBUDMqIiIjIsdy/AqwaCFzcq61XbAe0nQnk1KZgdFQMyoiIiMhxHF8JrBsORN8HPHMBracCNbo7TGP+R2FQRkRERPYvOhzYOAo49oO2Xrw20GkBULAsnAWDMiIiIrJvl4O1xvz3LgJuBqDhSKDRKMDducb9Y1BGRERE9skYD+yepi0mI5AvAOg4HyhZH86Iw81TpsmUSTNmzLBJDkZFRal5KGVkZJm+6d69e3AUMpVTjRo1bJ0MIiL7dicEWNIK+O1jLSCr1gV4ba/TBmSCQZkTkKDkUYs+n6OlyQTdAwYMeGTgJFNllS1bVk2v4+fnp6bEWrt2bZYDu6+//hp79uzB/v371cwP5pPUW4vko3m+yms2bNhQTbKeFb169UKHDh0slk4iIodmMgFHfwDmNgSuBAPeebWBYDvNB3ys/11vS6y+dAISlOhWrFiB999/H6dPn07cpk/ebimxsbHw8vJSQdajyKTmf/zxB7788ktUqlRJTfAtQZT8zap///1XzYNapUoVZKfKlStj27Zt6v937txRk7LLJOhXrlzJlsCQiMipPbyr9aw8sVpbDwgEOs3Tqi1dAEvK0hOxy/QNGV3iojL3PPMlnXPF+/v7Jy4SGEgpjvm25cuXqwBGSqtkmqrZs2cnef7ff/+Npk2bIkeOHGo+USn9ksnfk5fkTJ48GcWKFUP58uXTVcr1yy+/4N1331WTMMu+tWvXVvOW9unTJ3GarYsXL2L48OGJpU+6vXv3qlIoSVOJEiUwdOhQREZGqsckCJLJ63fv3q2eI8cR3377rZoTNU+ePOp9d+vWDWFhYYnH3LVrl9p/+/btar+cOXMiMDAwSQD7OB4eHon5KoHmpEmTVF6dOXMmcR+Zr7V9+/YqGJbqVZmf9caNG2mWvkmpn5Qe6nkg6UxeKqcv+tRj8p4lL4cNG4b8+fOjSJEiWLBggcqj3r17qzx48sknsXHjxsTXMhqN6Nu3r5oYXPJVzuPMmTOTpGfw4MHo2LGjCjaLFi2qrofXX39dTfysk3P50UcfqfMorxMQEID58+enOw+JiFIVsgeY00ALyAweQNP3gF7rXCYgEywpexwJrj4qluFINx8s4N1rgFeuLB3iu+++UyVnX331FWrWrIkjR46gf//+yJUrl5r4XW7iLVq0QP369VV1pAQx/fr1w5AhQ5LMPSqBjAQYGZl3VAKXDRs2oFOnTurmndyqVatQvXp1FQRKmnTnz59Hy5Yt1UTzixcvxs2bN1V6ZFm0aJEKviQoOHHihDqGlNoJCRw++OADFWzI+5AJ7iWglDSYGzt2LD777DNV0ieleRJc7Nu3L8N5GxMTgyVLliBfvnyJgWpCQkJiQCbVmvHx8Sqo6dKliwq2khs5ciT++ecfhIeHq2OJAgUKqKBR0pb8PMp2nQRzo0aNQnBwsCohHTRoEFavXq2CKgmGP//8c7z66qsqSJQAVNL2xBNP4KefflLBlpRaSt5L8CWBo07SKcH3zp07ce7cOZV2aQNnfo4k/ySv5XV+/vln9dpSNa3nAxFRusXHAjsnA/vkR6IJKFAW6LxAG/LCxTAoc3Ljx49XN1AJjISUkpw8eRLz5s1TQdn333+P6OhofPPNNypQExLAtW3bFp988okqgRHy2MKFCxMDoPSQ0pPu3burAECCr2effRYvvvgiGjRokBh8uLu7J5Zs6aZMmaKeJ6VA4qmnnsIXX3yhbvqzZs1SJUMSZEhazJ+nl8CJMmXKqOc8/fTTqiTLvApXSvzkWGL06NFo06aNygMpSXwcKVXUjyVt5iTtEhBJwKoHr7JPSEiIKuETkrdS7SlBr6THnBxLSq0kwDN/L/Le9Nf5/fffMW7cOBWEmVfXSp7KdiFt9z7++GMUKlQoMXiSIG7OnDn466+/8Mwzz8DT0xMTJ05MfL5cCwcOHMCPP/6YJCiT/JVrQM6NlKxK/sj7Mg/KpPRTStXEO++8owJACeIYlBFRhtw6C6zsC1w/pq3X6gG0mAJ4W7bZjaNgUPY4njm1EqsMkBKJ8IgI+ObJA4PBkLXXzgIpBZNSJ6myMr+hSumN3v5JSmnk5q4HZEKCJnkPUq2nB2VVq1bNUEAmnnvuOdX2S4IKKZWRG7tUl0lg8N5776X5vGPHjqlAQkqHdCaTSaVJgp3ixYun+rxDhw6paj95/t27d9X+QkqKpKpRV61atcT/SymR0Ks5zffTSWmQLEKCDqmWFRERESoge+mll1RAIqVYkp8SjOkBmX5MKU2Tx5IHZY8jaZeqYylRMw+ckr8PCaAk+JXzpNPPnXkVrgS1Uvoox3348KFqH5i8J6ikV45nnkcSaKb12np1ufnrEBE9kjTPObQE2PQuEP8QyJEfaPclULGtS2ccg7LHkXZOGa1ClGDA06g9LytBWRbp7cKkrVG9evWSPGZ+000P86AtI6R0RtqGySIlKlIlKe2w5P9pBXmS7oEDB6p2ZMlJ9ZuUaiWnV8PKIsGcVE1K4CHrEngkT5NOb8emV+0dPXo0xbGlRE8naZa2WjqpEl6zZo1qW7ds2TJYkryndu3aqaplybPkzN+H/l7Sem9C2hZKcCclp3JMKeWbNm2a6ozxuOPqx8jIPkREqX+53QJ+eQM4/V/TEplAvMNcwFf7kezKGJQ5MSkpkbZBUlol1YGpkQ4A0nZMAgA98JL2VVLCZ42qKCmFkZI6CawkwJFFGqCbq1WrlqpiNQ9+dHLjTy0oO3XqlOrVKVV4einVwYMHM5Q2acSf2ms+jgS4Uuqk5+fly5fVoqdD3ouMo5ZaKZxILQ+kZPCVV15R71fa0Jl3gsgsOa/SsUGvdhRSkkpElG3ObQPWDAYe3ADcvYBmE4B6g2xagGFPmAtOTqoKpY2WtK+SHoJSDSUNyqX3opBgTdpSSfuy48ePq2o46dUnDcT16q/Mkh6C0nZNqhUvXLigGtxLNWCTJk0S22BJTz7pRXn16lXcunVLbZNSNKnulIb9UnJ19uxZ1TtR1tMiPQAluJHhNyQIlSpGaYhuaRJQhoaGqkXSJSV/EnRJ437RrFkzVYUo+Xr48GHVCL9Hjx6qDZt5I31zkgdSXSvVxZIH0mFBqmFl6A3JPyk51F9TD/4yQ9rmSaC6efNmdS1IFbK0cyMisrq4aGDjaGBZZy0g86sA9N8B1H+dAZkZBmVOTnpSSgN9CcQkWJDgQErGpJG3kAbzcpOWMbekvZM0xH/++edVQ++skqpDaZzevHlzVYIkwZ5sk4blOqmWk4BNBpjVxz2T9krSc1ECB6n2lCpCabQupX5pkefK+5KehVIiJSVmMqyDpUmPT2ljJYu0xZL3Io3pJfASUqIlAaQ0lpc2dRKkSacDaXuWFmnvJ6WSErTJ+5ASLXn/EoxJyZb+erI86jiPI1XC0uFDelNKdbaULJqXmhERWcWNE8CCJsAfc7T1ugOAAbsA//+1gSWNm0nqSVyIDD0gjdzv37+fWFqjk2oxaUguAUt6euI9sqF/eLg6fpYa+hPzNhtZ67q11OfKkUnpp5QUS6/V5O3xiPnqtNestDMNngdsHQ8YY4BcfkD72UC55nA14Y+IPcyxTRkRERFZVkSo1nbs/HZtvVxLoN1XQO5HzwTj6hiUERERkeWcWq/1roy6DXj4AC0mA3X6aqMZ0CMxKCMiIqKsk+kBN4/Vxh8T0mZMJhL340wf6cWgjIiIiLLm2hFgZT/g9jltPXAo0HQc4OHNnM0ABmWpcLG+D0RWxc8TkRNLMAL7vwB2fAgkxAN5igEd52gDwlKGMSgzo/cwkTkNZT5CIso6+TyZf76IyEncvwKsGghc3KutV2wHtJ0J5PzfLCiUMQzKko3MLnMU6nP4yRhemRlJXYYWkKl9ZCgADolhWcxbx8lbKSGTgEw+T/K5yujUXkRkx46vBNYNB6LvA565gNZTgRrd2Zg/ixiUJSMTK4usTK4sNyMZeV1K2ywxPQ4xb7ODta5bCcj0zxURObjocGDjKODYD9p68dpApwVAwbK2TplTYFCWjNyMZOT0woULq8HzMkOeJ1MHyYjurLKxLOatY+WtHIclZERO4nKw1pj/3kXAzQA0HAk0GgW4s2mCpTAoS4PcSDJ7M5HnyRyJMno5gzLLYt5aD/OWiFJljAd2T9MWkxHIFwB0nA+UrM8MszAGZURERJS6uxeAXwYDV4K19WpdgNbTAJ+8zDErYFBGRERESZlMKHF7LzwWDgZiHwDeeYEXpgNVX2ROWRGDMiIiIvqfh3fh/subqHVprbYeEAh0mqdVW5JVZb3fexZIo+K2bduiWLFiqoH9mjVr0v3cffv2wcPDAzVq1LBqGomIiFxGyB5gTgMY/lmLBLjD2Hgs0GsdAzJXCMoiIyNRvXp1zJo1K0PPu3fvHnr06IHnn3/eamkjIiJyGfGxwNbxwNdtgfCrMBUogz3l3kNCg+GAgWMMukT1ZatWrdSSUa+99hq6deumeotlpHSNiIiIkrl1FljZF7h+TFuv1QPxz0/CvW27mVXZzOHalC1ZsgT//vsvli1bhg8//PCx+8fExKhFFx4enjgmU2bHIXsc/bjWOr4rY94ybx0Rr1vmq10ymWA48jUMW9+DW/xDmHLkh7H1DJgqtOE1a2HpjQccKig7e/YsRo8ejT179qj2ZOkxZcoUTJw4McX2LVu2qGmUrGnr1q1WPb4rY94ybx0Rr1vmq73wigtHjcuLUPT+EbUelqcyjpQcgOh/3YB/NyTux2vWsnMAO01QZjQaVZWlBFjlypVL9/PGjBmDESNGJCkpK1GiBJo3bw5fX1+rRcRyIQcFBXHwWOatw+B1y7x1NLxmM8ft/A64/zoSbpFhMLl7IaHJe8hfdyCayij9zFur0GvpnCYoi4iIwMGDB3HkyBEMGTIkcQJlma9PSs2k5Ktp06Ypnuft7a2W5GSkfWuPtp8dr+GqmLfMW0fE65b5alNx0cC2CcAfc7R1vwpw67wQ7v5VkVZTfl6zlpHeWMBhgjIp1fr777+TbJs9ezZ27NiBn3/+GaVLl7ZZ2oiIiOzajRPavJVhJ7X1ugOAoEmAZw5bp4zsJSh78OABzp07l7geEhKCo0ePokCBAggICFBVj1evXsU333wDg8GAKlWqJHm+TBou80sm305ERESqSgkInqcNd2GMAXL5Ae1nA+WaM3vskE2DMqmObNKkSeK63varZ8+eWLp0Ka5fv45Lly7ZMIVEREQOKiIUWDMYOL9dWy/XEmj3FZDbz9YpI3sMyho3bqzahKVFArNHmTBhglqIiIjIzKn1wC9vAFG3AQ8foMVkoE5fwM2N2WTHHKZNGRERET1GbCSweSxwaIm27l8V6LwI8CvPrHMADMqIiIicwbUjWmP+2/+11Q4cCjQdB3ikHIGA7BODMiIiIkeWYAT2fwHs+BBIiAfyFAM6zgHKNLZ1yiiDGJQRERE5qvtXgFUDgYt7tfWK7YC2M4GcBWydMsoEBmVERESO6PhKYN1wIPo+4JkLaD0VqNGdjfkdGIMyIiIiRxIdDmwcBRz7QVsvXhvotAAoWNbWKaMsYlBGRETkKC4Ha435710EZK7KhiOBRqMAd07p5wwYlBEREdk7Yzywe5q2mIxAvgCg43ygZH1bp4wsiEEZERGRPbsTAqwaAFwJ1tardQFaTwN88to6ZWRhDMqIiIjskcx4c2w5sOFtIDYC8M4LvDAdqPqirVNGVsKgjIiIyN48vKv1rDyxWlsPCAQ6zdOqLclpMSgjIiKyJyF7gNUDgfCrgMEDaDwGeHY4YHC3dcrIyhiUERER2YP4WGDnZGDfTKm7BAqUBTov0Ia8IJfAoIyIiMjWbp0FVvYFrh/T1mv1AFpMAbxz2zpllI0YlBEREdmyMf+hJcCmd4H4h0CO/EC7L4GKbXlOXBCDMiIiIluIvAX88gZweoO2LhOId5gL+Bbl+XBRDMqIiIiy27ltwJrBwIMbgLsX0GwCUG8QYDDwXLgwBmVERETZJS4a2DYB+GOOtu5XAei8EPCvynNADMqIiIiyxY0T2ryVYSe19boDgKBJgGcOngBSWFJGRERkTQkJQPA8YOt4wBgD5PID2s8GyjVnvlMSDMqIiIisJSJUazt2fru2Xq4l0O4rILcf85xSYFBGRERkDafWa70ro24DHj5Ai8lAnb6Amxvzm1LFoIyIiMiSYiOBzWO18ceENOLvvAjwK898pkdiUEZERGQp145ojflvn9PWA4cCTccBHt7MY3osBmVERERZlWAE9n8B7PgQSIgH8hQDOs7RBoQlSicGZURERFlx/wqwaiBwca+2XrEd0HYmkLMA85UyhEEZERFRZh1fCawbDkTfBzxzAa2nAjW6szE/ZQqDMiIiooyKDgc2jgKO/aCtF68NdFoAFCzLvKRMY1BGRESUEZeDtcb89y4Cbgag4Uig0SjA3ZP5SFnCoIyIiCg9jPHA7mnaYjIC+QKAjvOBkvWZf2QRDMqIiIge504IsGoAcCVYW6/WBWg9DfDJy7wji2FQRkRElBaTCTi2HNgwEoh9AHjnBV6YDlR9kXlGFsegjIiIKDUP72o9K0+s1tYDAoFO87RqSyIrMMCGdu/ejbZt26JYsWJwc3PDmjVrHrn/qlWrEBQUBD8/P/j6+qJ+/frYvHlztqWXiIhcRMgeYE4DLSAzeABN3wN6rWNARs4blEVGRqJ69eqYNWtWuoM4Cco2bNiAQ4cOoUmTJiqoO3LkiNXTSkRELiA+Ftg6Hvi6LRB+FShQFui7BXhuJGBwt3XqyMnZtPqyVatWakmvGTNmJFn/6KOPsHbtWvz666+oWbNmqs+JiYlRiy48PFz9jYuLU4s16Me11vFdGfOWeeuIeN06SL7ePguPNQPhFvqXWk2o8QqMQR8CXrnlReBKeM1aVnqvUYduU5aQkICIiAgUKJD2VBZTpkzBxIkTU2zfsmULcubMadX0bd261arHd2XMW+atI+J1a6f5ajKh5O2dqHLle7iZYhHrngtHA/riulsdYNtuuDJes5YRFRWVrv3cTCbpWmJ70qZs9erV6NChQ7qfM3XqVHz88cc4deoUChcunO6SshIlSuDWrVuqXZq1ImK5kKWq1dOTgwkybx0Dr1vmrUtes5G34L5+GAxnN6nVhNKNYGz7FZCnKFwZvw8sS2KPQoUK4f79+4+MPRy2pOz7779XJWBSfZlWQCa8vb3Vkpx8gK0dMGXHa7gq5i3z1hHxurWzfD23DVgzGHhwA3D3AppNgKHeIBgMNm1ubVd4zVpGeq9PhwzKli9fjn79+uGnn35Cs2bNbJ0cIiJyJHHRwLYJwB9ztHW/CkDnhYB/VVunjFycwwVlP/zwA/r06aMCszZt2tg6OURE5EhunNDmrQw7qa3XHQAETQI8c9g6ZUS2DcoePHiAc+fOJa6HhITg6NGjquF+QEAAxowZg6tXr+Kbb75JrLLs2bMnZs6ciXr16iE0NFRtz5EjB/Lm5VQXRESUhoQEIHieNtyFMQbI5Qe0nw2Ua84sI7th04rzgwcPqqEs9OEsRowYof7//vvvq/Xr16/j0qVLifvPnz8f8fHxeP3111G0aNHE5c0337TZeyAiIjsXEQp89yKwabQWkJVrCQw6wICM7I5NS8oaN26MR3X+XLp0aZL1Xbt2ZUOqiIjIaZxaD/zyBhB1G/DwAVpMBur0lS7/tk4ZkeO3KSMiInqs2Ehg81jg0BJtXRrxd14E+JVn5pHdYlBGRETO5doRrTH/7f/aLAcOBZqOAzxSDo9EZE8YlBERkXNIMAL7vwB2fAgkxAN5igEd5wBlGts6ZUTpwqCMiIgc3/0rwKqBwMW92nrFdkDbmUDOtKfhI7I3DMqIiMihuZ1cDWwcCUTfBzxzAa2nAjW6szE/ORwGZURE5JhiIlDz4jx4HNmnrRevDXRaABQsa+uUEWUKgzIiInI8l4PhsbIfAu5dhMnNALeGI4FGowB3zjdMjotBGREROQ5jPLB7mlrcTEZEehWC9/8thUeZhrZOGVGWMSgjIiLHcCcEWDUAuBKsVhOqvIRdhufRvMQztk4ZkeNPs0RERPRYMvPL0R+Auc9qAZl3XjUQrLH9HMS752QGktNgSRkREdmvh3eBdcOBE6u19YBAoNM8IF8AEBdn69QRWRSDMiIisk8he4DVA4Hwq4DBA2g8Bnh2OGBwt3XKiKyCQRkREdmX+Fhg52Rg30ypuwQKlAU6L9CGvCByYgzKiIjIftw6C6zsC1w/pq3X6gG0mAJ457Z1yoisjkEZERHZR2P+Q0uATe8C8Q+BHPmBdl8CFdvaOmVE2YZBGRER2VbkLeCXN4DTG7R1mUC8w1zAtyjPDLkUBmVERGQ757YBawYDD24A7l5AswlAvUGAgSM2kethUEZERNkvLhrYNgH4Y4627lcB6LwQ8K/Ks0Eui0EZERFlrxsngJX9gLCT2nrdAUDQJMAzB88EuTQGZURElD0SEoDgecDW8YAxBsjlB7SfDZRrzjNAlJWgLC4uDqGhoYiKioKfnx8KFCjADCUiotRFhGptx85v19bLtQTafQXk9mOOEf0nQy0pIyIiMGfOHDRq1Ai+vr4oVaoUKlasqIKykiVLon///vjzzz8zckgiInJ2p9YDcwK1gMzDB2jzGdB1OQMyoswGZdOnT1dB2JIlS9CsWTOsWbMGR48exZkzZ3DgwAGMHz8e8fHxaN68OVq2bImzZ8+m99BEROSMYiOBX4cBy7sBUbe1RvwDdwNP9wPc3GydOiLHrb6UErDdu3ejcuXKqT5et25d9OnTB3PnzlWB2549e/DUU09ZMq1EROQorh3RGvPfPqetBw4Fmo4DPLxtnTIixw/Kfvjhh3Tt5+3tjddeey0raSIiIkeVYAT2fwHs+BBIiAfyFAM6ztEGhCUiyzb0j4yMRK5cudT/L1y4oKo0iYiIcP8KsGogcHGvlhkV2wFtZwI52RGMyOIN/YcOHYoSJUpg3rx5ar1bt24ZeToRETmr4yu1xvwSkHnmAtrPAl7+hgEZkbVKyrZv366GwRg8eDAKFSqUkacSEZEzig4HNo4Cjv3XxKV4baDTAqBgWVunjMi5g7LixYvDy8tLlZR16NAB165ds17KiIjIvl0O1hrz37sIuBmAhiOBRqMAd09bp4zI+asvpTelDHvh7u6O+fPnI1++fNZLGRER2SdjPLBzCrC4pRaQ5QsAem0Amo5lQEaUXSVls2bNSvx/0aJF1ThlRETkQu6EAKsGAFeCtfVqXYDW0wCfvLZOGZHrTrMUHR2Nv/76C2FhYUiQ+czMtGvXzhJpIyIie2EyAceWAxtGArEPAO+8wAvTgaov2jplRK4dlG3atAk9evTArVu3Ujzm5uYGo9GYruPIYLTTpk3DoUOHcP36daxevVq1VXuUXbt2YcSIEThx4oTqCTpu3Dj06tUrM2+DiIjS4+FdYN1w4MRqbT0gEOg0T6u2JCLbtCnTvfHGG3jppZdUICWlZOZLegMyfcyz6tWrJ6kWfZSQkBC0adMGTZo0UVWnw4YNQ79+/bB58+bMvA0iInrsF+8eYE4DLSAzeABN3wN6rWNARmQvJWU3btxQpVVFihTJ0ou3atVKLeklUziVLl0an332mVqXydD37t2Lzz//HC1atMhSWoiIyEx8LLBzMrBvptRdAgXKAp0XaENeEJH9BGUvvviiqkYsWzZ7x6GRic9lMnRzEoxJiVlaYmJi1KILDw9Xf+Pi4tRiDfpxrXV8V8a8Zd46Ioe7bm+fhceagXAL/UutJtR4BcagDwGv3PImYC8cLl8dCPPWstJ7jWYqKPvqq69U9aVMOl61alV4enqmGPnfGmTg2uSlc7IugdbDhw+RI0eOFM+ZMmUKJk6cmGL7li1bkDNnTljT1q1brXp8V8a8Zd46Iru/bk0mlLy9E1WufA83Uyxi3XPhaEBfXHerA2zbDXtl9/nqwJi3lhEVFWW9oEwmJ5egxsfHR5WYSeN+nfzfWkFZZowZM0ZVteokgJMOAs2bN4evr6/VImK5kIOCglIErMS8tVe8bl08byNvwX39MBgub1KrCaUbwa3tV6iZpyhqwj45RL46KOatZem1dFYJysaOHatKn0aPHg2DIVN9BTLF399ftWczJ+sSXKVWSia8vb3Vkpx8gK39Ic6O13BVzFvmrSOy2+v23DZgzWDgwQ3A3QtoNgGGeoOy9fvdKfPVCTBvLSO912emgrLY2Fh06dIl2z+w9evXx4YNG5Jsk19Jsp2IiDIoLhrYNgH4Y4627lcB6LwQ8K/KrCSygUxFVT179sSKFSuy/OIPHjxQQ1voMwPIkBfy/0uXLiVWPcp4aLrXXnsN//77L0aNGoVTp05h9uzZ+PHHHzF8+PAsp4WIyKXcOAEsaPK/gKzuAGDALgZkRDaUqZIyGYts6tSpanywatWqpSiWmz59erqOc/DgQTXmmE5v+yVB39KlS9U4aHqAJmQ4jPXr16sgbObMmXjiiSewcOFCDodBRJReMgNL8Dxg63jAGAPk8gPazwbKNWceEjliUPb333+jZk2t6efx48eTPGbe6P9xGjduDJNM3ZEGCcxSe86RI0cylF4iIgIQEaq1HTu/XcuOci2Bdl8Buf2YPUSOGpTt3LnT8ikhIiLrObUe+OUNIOo24OEDtJgM1Okrv6SZ60SO2KYsICAAQ4YMUY3r4+PjrZcqIiKyjNhI4NdhwPJuWkAmjfgH7gae7seAjMiRg7Jvv/1WDS8xePBgFCpUSPXA/O6773Dv3j3rpZCIiDLn2hFg3nPAoSXaeuBQoN92wK88c5TI0YOyRo0aqXknz549i3379qFGjRr48ssv1fhhTZs2xYwZM1TvSCIisqEEI7D3c2BhM+D2OSBPMaDHWqD5B4BHynEbicg+ZHqgscqVK6shK37//XdcuHABXbt2xfbt21GlShW1SC9JIiLKZvevAF+308YfS4gHKrYDBu0DyjTmqSByxob+yUlJWf/+/dUi8zvJUBmpjaJPRERWdHwlsG44EH0f8MwFtJ4K1OjOtmNEzhiUSfXl888/r4alkFH0U5s2QCb57tixoyXTSEREjxIdDmwcBRz7QVsvXhvotAAoWJb5RuSs1ZcyeOuSJUtUUJYvXz40a9YMkydPxoEDB9SAskRElM0uBwNzn9UCMjcD8NwooM9mBmREzh6UyWCuMhWSNOaXBv7FixfH/Pnz0aBBA+TPnx+tWrXCtGnTrJdaIiLSGOOBnVOAxS2BexeBfAFArw1A07GAOyfnJnKZhv6lSpVCnz598PXXX+PixYs4d+4chg4div3792P06NGWTyUREf3PnRBgSSvgt48BkxGo1gV4bS9Qsj5zicgVG/pLMLZr167EJSwsDM8884xqd0ZERFYg09IdWw5sGAnEPgC88wIvTAeqvsjsJnK1oOybb75JDMJu3bqFwMBAFYRJr8unn3461Yb/RESUMcYEE4JD7iAsIhqF8/igbukCcI+5p/WsPLFa2ykgEOg0T6u2JCLXC8p69eqlplqSKsq+ffsyCCMisrBNx69j4q8ncf1+dOK21nnO4TOP2cjxMBQweACNxwDPDgcM7sx/IldtUzZ79mxVRTlx4kQULlwYbdu2VSP8Hzx4ECYpVicioiwFZIOWHU4MyDwRj3c8fsBXseNVQBaZuyTQdwvw3EgGZESuHpS99tprWL58Oa5fv66mWWrdujWCg4PRpk0b1ftS/n766afWSy0RkRNXWUoJmf7ztozbNazyeh+DPH6Fwc2E5fFN0Db2IxiL1rJxSonI7qZZqlSpEgYNGoQVK1bgyJEjGDJkCPbu3Yt33nnHsikkInIB0oZMKyEzoZv7dqzzGouqhgu4a8qNgbHDMTq+P/4Nd1P7EZFzylTvS+lpuXPnzsRG/2fOnFHty6Rqs0mTJpZPJRGRk5NG/QUQjk88FyDI/ZDatsdYBW/FDUIY8ifZj4icU4aCssGDB6sg7PTp0/Dw8EDdunXx4osvqkBMemL6+PhYL6VERE7sqYhgbPIejcJu9xBj8sDU+P/DYmNLmJJVaEhvTCJyThkKyqSaskOHDioIk1H8ZZ5LIiLKgrhoYNsEVPpjDuAGnEkojjfjhuAfU8kku7kB8M+rDY9BRM4pQ0GZzHFJREQWcuMEsLIfEHZSrV4s2x3tTgQhBl4pAjIxvm0luBv0NSJy2Yb+v//+e7oPGhUVhRMnTmQ2TUREzi0hAfh9DjC/iRaQ5fIDuv2Ekq/OxoxXnlElYuZkfc4rtdCySlGbJZmI7Kik7NVXX0WZMmXQr18/NRRGrly5Uuxz8uRJLFu2DEuWLMEnn3yCypUrWzq9RESOLSIUWDMYOL9dWy/XEmj3FZDbT61K4BVUyT/liP4sISNyeukOyiTgmjNnDsaNG4du3bqhXLlyKFasmGrcf/fuXZw6dQoPHjxAx44dsWXLFlStWtW6KScicjBupzcAG4YDUbcBDx+gxWSgTl/ALWmVpARg9csWtFk6icjOgzIZ8mLo0KFqkRH8ZUwymZT84cOHqF69OoYPH646ABQowEaoRERJxEai2qUl8DiyU1v3rwp0XgT4lWdGEVHWximrU6eOWoiI6DGuHYHHz31R+s55bT1wKNB0HODhzawjoqwHZURE9BgJRmD/F8COD+GWEI+Hnvnh+dIieJR7nllHRKliUEZEZGn3rwCrBgIX96rVhAptsdOzFYJKP8e8JiLLz31JRESpOL4SmBOoBWSeuYD2s2DstBhxHrmZXUT0SCwpIyKyhOhwYOMo4NgP2nrx2kCnBUDBskBcHPOYiLIvKLt37x7y5ctnqcMRETmOy8HayPz3LgJuBqDhSKDRKMDd09YpIyJnr76UgWFXrFiRuP7yyy+jYMGCKF68OI4dO2bJ9BER2S9jPLBzCrC4pRaQ5QsAem0Amo5lQEZE2ROUzZ07FyVKlFD/37p1q1o2btyIVq1a4e23387MIYmIHMudEGBJK+C3jwGTEajWBXhtL1Cyvq1TRkSuFJSFhoYmBmXr1q1TJWXNmzfHqFGj8Oeff2b4eLNmzUKpUqXU7AD16tVDcHDwI/efMWMGypcvjxw5cqh0yMC10dHRmXkrREQZYzIBR38A5j4LXAkGvPNqA8F2mg/45GVuElH2BmX58+fH5cuX1f83bdqEZs2aqf+bTCYYjcYMHUuqQUeMGIHx48fj8OHDanaAFi1aICwsLNX9v//+e4wePVrt/88//2DRokXqGO+++25m3goRUfo9vAv83BtY8xoQ+wAICAQG7QWqvshcJCLbBGWdOnVS818GBQXh9u3bqtpSHDlyBE8++WSGjjV9+nT0798fvXv3RqVKlVTVaM6cObF48eJU99+/fz8aNGigXl9K16SErmvXro8tXSMiypKQPcCcBsCJ1YDBA2j6HtBrndaOjIjIVr0vP//8cxUQSWnZ1KlTkTu3Nv7O9evXMXjw4HQfJzY2FocOHcKYMWMStxkMBlXyduDAgVSfExgYiGXLlqkgrG7duvj333+xYcMGvPrqq6nuHxMToxZdeHi4+hsXF6cWa9CPa63juzLmLfM22xljYfjtYxgOfAk3mGAqUAbG9nNhKlYLMCZoy2PwurUO5qv1MG8tK73xgJtJ6hxt5Nq1a6rHppR+1a//v8ax0jbtt99+wx9//JHq87744guMHDlSVZfGx8fjtddew5w5c1Ldd8KECZg4cWKq1aBSIkdElJbc0ddR+8Ic5Ht4Qa1fKNgIx4t3h9Hdh5lGROkWFRWlavju378PX19f64xTdvLkSVy6dEmVeJlr164drGXXrl346KOPMHv2bNUp4Ny5c3jzzTfxwQcf4L333kuxv5TCSZs185Iy6Rwg1Z6PypisRsTSI1Wqdz09OU4R89Yx8Lo1YzLBcORrGLZOgFv8Q5hy5Iex9QwUr9AGxZm3doPXLPPWUei1dI+TqaBMqgw7duyIv//+G25ubqrESsj/RXob+xcqVAju7u64ceNGku2y7u/vn+pzJPCSqsp+/fqp9apVqyIyMhIDBgzA2LFjVfWnOW9vb7UkJ8GStQOm7HgNV8W8Zd5aTeQt4Jc3gNMbtPUyjeHWYS48fItm+dC8bq2D+Wo9zFvLSG8skKmG/lIyVbp0adVDUqoAT5w4gd27d6NOnTqqJCu9vLy8ULt2bWzfvj1xW0JCglo3r85MXgSYPPCSwE7YsCaWiJzB2W3avJUSkLl7AS0+Al5ZDVggICMiskpJmTTC37FjhyrpkgBJlmeffRZTpkzB0KFDVS/M9JKqxZ49e6qAThruyxhkUvIlvTFFjx49VLszObZo27at6rFZs2bNxOpLKT2T7XpwRkSUIXHRwLYJwB//tU31qwB0Xgj4V2VGEpF9B2VSPZknTx71fwnMpMG+DOZasmRJnD59OkPH6tKlC27evIn3339fDUpbo0YNNfZZkSJF1OPSZs28ZGzcuHGqmlT+Xr16FX5+fiogmzx5cmbeChG5uhsntHkrw05q63UHAEGTAM8ctk4ZEbmYTAVlVapUUXNcShWmlFbJsBhSFTl//nyUKVMmw8cbMmSIWlKTvDrUw8NDDRwrCxFRpiUkAMHzgK3jAWMMkMsPaD8bKNecmUpEjhOUSSmVVDGKSZMm4YUXXkDDhg3VpOTLly+3dBqJiCwrIhRYMxg4/1971nItgXZfAbn9mNNE5FhBmUyDpJMR/E+dOoU7d+6o6Zf0HphERHbp1Hqtd2XUbcDDB2gxGajTV7qP2zplROTiMtX7sk+fPoiIiEiyrUCBAqpnpDxGRGR3YiOBX4cBy7tpAZk04h+4G3i6HwMyInLcoOzrr7/Gw4cPU2yXbd98840l0kVEZDnXjgDzngMOLdHWA4cC/bYDfuWZy0TkmNWXMiKtjAUmi5SU+fj4JOmRKXNQFi5c2BrpJCLKuAQjsP8LYMeHQEI8kKcY0HGOGhCWiMihg7J8+fKpNmOylCtXLsXjsj21eSaJiLLd/SvAqoHAxb3aesV2QNuZQM4CPBlE5PhB2c6dO1UpWdOmTbFy5UrVjkwnQ2LIOGXFihWzRjqJiNLv+Epg3XAg+j7gmQtoPRWo0Z1tx4jIeYKyRo0aqb8hISEICAhgT0sisi/R4cDGUcCxH7T14rWBTguAgmVtnTIiIssFZX/99ZcaNFZG179//76ajDwt1apVS+9hiYgs43KwNjL/vYuAmwFoOBJoNApwT99EwEREDhOUyfRHMg2SNOSX/0v7sdQmAJft0uifiChbGOOB3dO0xWQE8gUAHecDJevzBBCRcwZlUmUp80zq/ycisrk7IcCqAcCVYG29Wheg9TTAJ6+tU0ZEZL2gTBrxp/Z/IqJsJ6X00m5sw9tA7APA2xdoMx2o9hJPBhG53uCx69evT1wfNWqUGi4jMDAQFy9etGT6iIiSengX+Lk3sGaQFpAFBAKD9jEgIyLXDMo++ugj5MiRQ/3/wIED+OqrrzB16lQUKlQIw4cPt3QaiYg0IXuAOQ2AE6sBgwfQ9D2g1zqtHRkRkStOSH758mU1EblYs2YNXnzxRQwYMAANGjRA48YcKZuILCw+Ftg5Gdg3U+ougQJlgc4LtCEviIhcuaQsd+7cuH37tvr/li1bEBQUpP4v0y6lNicmEVGm3ToLLGoG7JuhBWS1emgTiTMgIyInk6mSMgnC+vXrh5o1a+LMmTNo3bq12n7ixAmUKlXK0mkkIldtzC8TiG96F4h/COTID7T7EqjY1tYpIyKyn5KyWbNmoX79+rh586aabqlgwYJq+6FDh9C1a1dLp5GIXE3kLWB5N22qJAnIZALxQQcYkBGRU8tUSZn0tJTG/clxMnIiyrKz24C1g4EHNwB3L6DZBKDeIMCQqd+QRETOHZSJe/fuITg4GGFhYUhISEgyov+rr75qqfQRkauIiwa2TQD+mKOt+1UAOi8E/KvaOmVERPYblP3666/o3r07Hjx4AF9f3yQTkzMoI6IMu3FCm7cy7KS2XncAEDQJ8NSG3iEicgWZCsreeust9OnTR41XljNnTsuniohcg5SyB88Dto4HjDFALj+g/WygXHNbp4yIyDGCsqtXr2Lo0KEMyIgo8yJCtVH5z+/Q1p9qAbSfBeTW5tglInI1mQrKWrRogYMHD6JMmTKWTxEROb9T64G1Q4CHdwAPH6DFZKBOX2n/YOuUERE5VlDWpk0bvP322zh58iSqVq0KT0/PJI+3a9fOUukjImcSGwlsHquNPyakEX/nRYBfeVunjIjIMYOy/v37q7+TJk1K8Zg09DcajVlPGRE5l2tHtMb8t89p64FDgabjAA9vW6eMiMhxgzLzITCIiB79hWHU5qyUuSsT4oE8xYCOc7QBYYmIKOvjlOmio6PVnJdERCncvwKsGghc3KutV2wHtJ0J5CzAzCIiSiZTQ2RL9eQHH3yA4sWLq8nJ//33X7X9vffew6JFizJzSCJyNsdXAnMCtYDMM5fWs/LlbxiQERFZMiibPHkyli5diqlTp8LLyytxe5UqVbBw4cLMHJKInEV0OLD6NeDnPkD0faB4beC1PUDNV9i7kojI0kHZN998g/nz56tR/d3d3RO3V69eHadOncrMIYnIGVz6A5j7LHDsB8DNADw3CuizGShY1tYpIyJy3sFjn3zyyVQ7AMTFxVkiXUTkSIzxwO5pwO6pgCkByBcAdJwPlKxv65QRETl3UFapUiXs2bMHJUuWTLL9559/Rs2aNS2VNiJyBHdCgFUDgCvB2nq1LkDraYBPXlunjIjI+asv33//fQwZMgSffPKJKh1btWqVGrtM2prJYxk1a9YslCpVSvXirFevHoKD//tyT8O9e/fw+uuvo2jRovD29ka5cuWwYcOGzLwVIsoskwk4+r1WXSkBmbcv0Gkh0Gk+AzIiouwKytq3b49ff/0V27ZtQ65cuVQg9s8//6htQUFBGTrWihUrMGLECIwfPx6HDx9W7dJkGqewsLBU94+NjVWvceHCBVUyd/r0aSxYsED1BCWibPLwLvBzb23uytgHQEAgMGgfUO0lngIiouwep6xhw4bYunUrsmr69OmqlK13795qfe7cuVi/fj0WL16M0aNHp9hftt+5cwf79+9PnN5JStmIKJuE7AFWDwTCrwIGD6DxGODZ4YDhf51+iIgom4IymYj8zz//RMGCBVNUK9aqVStx3LLHkVKvQ4cOYcyYMYnbDAYDmjVrhgMHDqT6nF9++QX169dX1Zdr166Fn58funXrhnfeeSdJT1BdTEyMWnTh4eHqr3RIsFanBP247PTAvHUkj71ujbEw/PYxDAe+hBtMMBUoA2P7uTAVqwUYE7SFMpe3ZJ1rljKNeWtZ6b1GMxWUSdVhavNbSvAjPTPT69atW+o4RYoUSbJd1tMaWkMCvh07dqjhOKQd2blz5zB48GD1hqUKNLkpU6Zg4sSJKbZv2bIFOXPmhDVZoiSRmLfZLbXrNnf0NdS+MBf5Hl5Q6xcKNsLx4t1hPBoKHGV7zqzkLWUd89V6mLeWERUVZfmgTEqpdJs3b0bevP/rXSXB1fbt261elSgdCwoXLqzGSZOSsdq1a6tAcNq0aakGZVIKJ23WzEvKSpQogebNm8PX19cqaZQAUS5kafumV7ES89bepXrdmkwwHPkahq0T4Rb/EKYc+WFsPQPFK7QBW3FmMW/JOtcsWQTz1rL0WjqLBmUdOnRQf93c3NCzZ88kj8kHQgKyzz77LN3HK1SokAqsbty4kWS7rPv7+6f6HOlxKa9lXlVZsWJFhIaGqupQ8xkGhPTOlCU5OYa1P8TZ8RquinmbDXkbeQv45Q3g9H8lYWUaw63DXHj4FrXiqzs3XrfMV0fDa9Yy0hsLGDJaSiVLQECA6h2pr8siVZfSE/KFF15I9/EkgJKSLilhM38NWZd2Y6lp0KCBqrKU/XRnzpxRwVrygIyIMunsNm3eSgnI3L2A5pOBV1YDDMiIiOxrSIyQkBBVymUJUrUoQ1p8/fXXaliNQYMGITIyMrE3Zo8ePZJ0BJDHpfflm2++qYIx6an50UcfqYb/RJQ1hoRYGLa8C3zXGXhwA/CrAPTfAQQOkV44zF4iInscEkNKs2TRS8ySD1uRXl26dMHNmzfVWGdSBVmjRg1s2rQpsfH/pUuXVI9MnbQHk/Zsw4cPR7Vq1dT4ZBKgSe9LIsqCsJNodHoC3KOvaOt1BwBBkwDPHMxWIiJ7DcqkN+OkSZNQp04dVW0obcyyQmYHkCU1u3btSrFNqjZ///33LL0mEf1HflQFz4PH1vHwNcbAlMsPbu1nA+WaM4uIiOw9KJMBXpcuXYpXX33V8ikiouwTEaqNyn9+B+SnVahvdRTssxye+YrxLBAROUJQJr0cAwMDLZ8aIso+p9YDa4cAD+8AHj4wNpuEP0KLoHUuP54FIiIbyFTL3X79+uH777+3fGqIyPpiI4Ff3wSWd9MCMv+qwMDdSKjdR8a74RkgInKkkrLo6Gg1eKtMSC6N7ZOPvyHzWRKRHbp2BFjZD7h9TlsPHAo0HQd4eMtokbZOHRGRS8tUUPbXX3+pXpLi+PHjSR7LaqN/IrKCBCOwbyawczKQEA/kKQZ0nKMGhCUiIgcOynbu3Gn5lBCRddy/AqwaCFzcq61XbAe0nQnkLMAcJyJyhnHKiMgBHF8JrBsORN8HPHMBracCNbqz7RgRkaMHZZ06dUrXfqtWrcpseojIEqLDgY2jgGM/aOvFawOdFgAFyzJ/iYicISjLmzev9VJCRJZx6Q9gVX/g3kXAzQA0HAk0GgW4p29CXCIicoCgbMmSJdZLCRFljTEe2D0N2D0VMCUA+QKAjvOBkvWZs0REDoBtyoicwZ0QYNUA4Eqwtl6tC9B6GuDD0m0iIkfBoIzIkZlMWruxDW8DsQ8Ab1+gzXSg2ku2ThkREWUQgzIiR/XwLvDrMODkGm09IBDoNE+rtiQiIofDoIzIEYXsAVYPBMKvAgYPoPEY4NnhgMHd1ikjIqJMYlBG5EjiY7VR+WV0fpiAAmWBzgu0IS+IiMihMSgjchQ3zwCr+gHXj2nrtXoALaYA3rltnTIiIrIABmVEjtCY/+BiYPNYIP4hkCM/0O5LoGJbW6eMiIgsiEEZkT2LvAWsHQKc2aitywTiHeYCvkVtnTIiIrIwBmVE9ursNmDtYODBDcDdC3h+PPDMYMBgsHXKiIjIChiUEdmbuGhg23jgj7naul8FoPNCwL+qrVNGRERWxKCMyJ7cOAGs7AeEndTW6w4AgiYBnjlsnTIiIrIyBmVE2cyYYEJwyB2ERUSjcB4f1C1dAO4yvEXwPGDreMAYA+TyA9rPBso15/khInIRDMqIstGm49cx8deTuH4/OnFbFd8oLM2/BIVu7NM2PNUCaD8LyO3Hc0NE5EIYlBFlY0A2aNlhKRNLFGQ4iE9i5qPAjQcwGrzh3uojoE5fwM2N54WIyMWwGxdRNlVZSgmZHpDlQDQ+8liIBV7TUcDtAU4klER392kw1mZARkTkqlhSRpQNpA2ZXmVZxe1fzPSchbKG62p9XnwbfBb/MmJjPdV+9csW5DkhInJBDMqIsoE06jcgAQPd12GEx0/wdDMi1JQfI+IGYX9ClST7ERGRa2JQRpQNnjDcxvdek/GM4R+1vsFYF2Pi+uE+ks5bKb0xiYjINTEoI7K24ytRa/0wuBnCEWnyxoT4nvjJ2AjA/xrzy//882rDYxARkWtiUEZkLdHhwMZRwLEfVNB1L381dAjthYsm/yS76aHZ+LaV4G5gr0siIlfF3pdE1nDpD2Dusyogg5sBeG4U8g3ZgdHdW6sSMXOyPueVWmhZhZOMExG5MpaUEVmSMR7YPQ3YPRUwJQD5AoCO84GS9dXDEngFVfJPOaI/S8iIiFyeXZSUzZo1C6VKlYKPjw/q1auH4ODgdD1v+fLlcHNzQ4cOHayeRqLHuhMCLGkF/PaxFpBV6wK8tjcxINNJACbDXrSvUVz9ZUBGRER2EZStWLECI0aMwPjx43H48GFUr14dLVq0QFhY2COfd+HCBYwcORINGzbMtrQSpcpkAo5+r1VXXgkGvH2BTguBTvMBn7zMNCIicoygbPr06ejfvz969+6NSpUqYe7cuciZMycWL16c5nOMRiO6d++OiRMnokyZMtmaXqIkHt4FfuoFrBkExD4AAgKBQfuAai8xo4iIyHHalMXGxuLQoUMYM2ZM4jaDwYBmzZrhwIEDaT5v0qRJKFy4MPr27Ys9e/Y88jViYmLUogsPD1d/4+Li1GIN+nGtdXxXZk9563ZxL9zXDoZbxDWYDB5IeO4dJNQfChjcJYFwNPaUt86Gect8dTS8Zi0rvd+rNg3Kbt26pUq9ihQpkmS7rJ86dSrV5+zduxeLFi3C0aNH0/UaU6ZMUSVqyW3ZskWVyFnT1q1brXp8V2bLvHVLiEfF6yvxZNgGuMGEB95FcKjkINy7XwbYtBmOjtct89bR8Jpl3tq7qKgo5+t9GRERgVdffRULFixAoUKF0vUcKYWTNmvmJWUlSpRA8+bN4evra7WIWL4kgoKC4OnpaZXXcFU2z9tbZ+GxdiDcwv5Sqwk1XoF30IcI9Eo6Mr8jsnneOjHmLfPV0fCatSy9ls6ugzIJrNzd3XHjxo0k22Xd3z/pAJvi/PnzqoF/27ZtE7clJCSovx4eHjh9+jTKli2b5Dne3t5qSU5uOta+8WTHa7iqbM9bacx/aAmw6V0g/iGQIz/Q7ksYKra1fcNMC+N1y7x1NLxmmbf2Lr33K5sGZV5eXqhduza2b9+eOKyFBFmyPmTIkBT7V6hQAX///XeSbePGjVMlaDNnzlQlYEQWF3kL+OUN4PQGbb1MY6DDXMCXg70SEZHl2Lz6UqoWe/bsiTp16qBu3bqYMWMGIiMjVW9M0aNHDxQvXly1DZNxzKpUqZLk+fny5VN/k28nsoiz24C1g4EHNwB3L+D58cAzg6VHCjOYiIicKyjr0qULbt68iffffx+hoaGoUaMGNm3alNj4/9KlS6pHJlG2iosGto0H/pirrftVADovBPyr8kQQEZFzBmVCqipTq64Uu3bteuRzly5daqVUkcu6cQJY2Q8IO6mt1x0ABE0CPHPYOmVEROTE7CIoI7IL0mkkeB6wdTxgjAFy+QHtZwPlmts6ZURE5AIYlBGJiFBtVP7zO7T8eKoF0H4WkNuP+UNERNmCQRnRqfXA2iHAwzuAhw/QYjJQpy/g5sa8ISKibMOgjFxXbCSweaw2/piQRvydFwF+5W2dMiIickEMysg1XTuiNea/fU5bDxwKNB0HeKQcaJiIiCg7MCgj15JgBPZ/Aez4EEiIB/IUAzrO0QaEJSIisiEGZeQ67l8BVg0ELu7V1iu2A9rOBHIWsHXKiIiIGJSRizi+Elg3HIi+D3jmAlpPBWp0Z2N+IiKyGywpI+cWHQ5sHAUc+0FbL14b6LQAKJh04noiIiJbY1BGzutysNaY/95FwM0ANBwJNBoFuHvaOmVEREQpMCgj52OMB3ZP0xaTEcgXAHScD5Ssb+uUERERpYlBGTmXOyHAqgHAlWBtvVoXoPU0wCevrVNGRET0SAzKyDmYTMCx5cCGkUDsA8DbF2gzHaj2kq1TRkRElC4MysjxPbyr9aw8sVpbDwgEOs3Tqi2JiIgcBIMycmwhe4DVA4Hwq4DBA2g8Bnh2OGBwt3XKiIiIMoRBGTkmYyyw60Ng30ypuwQKlAU6L9CGvCAiInJADMrI4eSOvg6PpS2B0L+0DbV6AC2mAN65bZ00IiKiTGNQRo7DZILh8FI0OvUe3EyxQI78QLsvgYptbZ0yIiKiLGNQRo4h8hbwyxtwP71BrSaUbgRDx3mAb1Fbp4yIiMgiGJSR/Tu3DVgzGHhwAyZ3L5zw74zyXWfC4OVt65QRERFZDIMysl9x0cC2CcAfc7R1vwqIbz8X5w9dQnmZNomIiMiJMCgj+3TjhDZvZdhJbb3uACBo0n+X7CVbp46IiMjiGJSRfUlIAILnAVvHA8YYIJcf0H42UK659nhcnK1TSEREZBUMysh+RIRqbcfOb9fWn2oBtJ8F5PazdcqIiIisjkEZ2YdT61XvSkTdBjx8gBaTgTp9ATc3W6eMiIgoWzAoI9uKjQQ2jwUOLdHW/asCnRcBfuV5ZoiIyKUwKCPbuXZEa8x/+5y2HjgUaDoO8OBQF0RE5HoYlFH2SzAC+78AdnwIJMQDeYoBHecAZRrzbBARkctiUEbZ6/4VYNVA4OJebb1iO6DtTCBnAZ4JIiJyaQzKKPscXwmsGw5E3wc8cwGtpwI1urMxPxEREYMyyhbR4cDGUcCxH7T14rWBTguAgmV5AoiIiP7DkjKyrsvBWmP+excBmRqp4Uig0SjA3ZM5T0REZIZBGVmHMR7YPU1bTEYgXwDQcT5Qsj5znIiIKBV2MavzrFmzUKpUKfj4+KBevXoIDg5Oc98FCxagYcOGyJ8/v1qaNWv2yP3JeowJJhw4fxtrj15Vf2VduRMCLGkF/PaxFpBV6wK8tpcBGRERkT2XlK1YsQIjRozA3LlzVUA2Y8YMtGjRAqdPn0bhwoVT7L9r1y507doVgYGBKoj75JNP0Lx5c5w4cQLFixe3yXtwRZuOX8fEX0/i+v3oxG1Ffb0xr/pZVDs2GYiNALx9gTbTgWov2TStREREjsDmJWXTp09H//790bt3b1SqVEkFZzlz5sTixYtT3f+7777D4MGDUaNGDVSoUAELFy5EQkICtm//b75EypaAbNCyw0kCMl88wNiH01Dtz9FaQBYQCAzax4CMiIjIEUrKYmNjcejQIYwZMyZxm8FgUFWSBw4cSNcxoqKiEBcXhwIFUh/nKiYmRi268PBw9VeeI4s16Me11vFtSaooJ/xyAv9VVCrPGE5iuudsFHO7gziTOxZ5dEGvrtPh7uEhmWDR13fmvLU15i3z1tHwmmXeOor03rNsGpTdunULRqMRRYoUSbJd1k+dOpWuY7zzzjsoVqyYCuRSM2XKFEycODHF9i1btqgSOWvaunUrnM3Z+24IDXdX//dEPIZ7/IzX3H+Fwc2EfxP8MSzudfwVUxYPftqKp/Kah26W5Yx5ay+Yt8xbR8Nrlnlr76QAySHalGXFxx9/jOXLl6t2ZtK+LDVSCidt1sxLykqUKKHaofn6+lotIpYviaCgIHh6OtfQD7/+dR04+TfKuF3DTM+vUNVwQW1fHt8Yk+J7IAraeShTuQZaVytq8dd35ry1NeYt89bR8Jpl3joKvZbOroOyQoUKwd3dHTdu3EiyXdb9/f0f+dxPP/1UBWXbtm1DtWrV0tzP29tbLcnJDd3aN/XseI3sVjRvTnRz3473PL5FDrdY3DXlxui4/tic8HTS/fLlsup7d8a8tRfMW+ato+E1y7y1d+m9X9m0ob+Xlxdq166dpJG+3mi/fv20x7OaOnUqPvjgA2zatAl16tTJptQSIm/hmeAh+MhzkQrI9hiroEXMJ0kCMjcVuPmgbmnOZUlERJQRNq++lKrFnj17quCqbt26akiMyMhI1RtT9OjRQw11IW3DhAyB8f777+P7779XY5uFhoaq7blz51YLWcm5bcCawXB7cAMJBk98FPMyFhtbIcEsrpeATIxvWwnuBn2NiIiIHCIo69KlC27evKkCLQmwZKgLKQHTG/9funRJ9cjUzZkzR/XafPHFF5McZ/z48ZgwYUK2p9/pxUUD2yYAf8zR1v0qwNB5IercKoT1ycYp88/rowKyllUs35aMiIjI2dk8KBNDhgxRS2qkEb+5Cxe0huWUDW6c0OatDDuprdcdAARNAjxzoKU/EFTJH8EhdxAWEY3CebQqS5aQEREROXBQRnYmIQEIngdsHQ8YY4BcfkD72UC55kl2kwCsftmCNksmERGRM2FQRklFhKq2Yzj/X+eLp1oA7WcBuf2YU0RERFbEoIz+59R64Jc3gKjbgIcP0GIyUKcv4MZG+0RERNbGoIyA2Ehg81jg0BItN/yrAp0XAX7lmTtERETZhEGZq7t2RGvMf/ucth44FGg6DvBIOeAuERERWQ+DMleVYAT2fwHs+BBIiAfyFAM6zgHKNLZ1yoiIiFwSgzJXdP8KsGogcHGvtl6xHdB2JpCTo/ATERHZCoMyV3N8FbBuGBB9H/DMBbSeCtTozsb8RERENsagzFVEhwMb3wGOfa+tF68NdFoAFCxr65QRERERgzIXcTlYa8x/7yLgZgAajgQajQLc0zdrPREREVkfS8qcmTEe2D1NW0xGIF8A0HE+ULK+rVNGREREyTAoc1Z3QoBVA4Arwdp6tS5A62mAT15bp4yIiIhSwaDM2ZhMwLHlwIa3gdgIwNsXaDMdqPaSrVNGREREj8CgzJk8vAusGw6cWK2tBwQCneZp1ZZERERk1xiUOYuQPcDqgUD4VcDgATQeAzw7HDC42zplRERElA4MyhxdfCywczKwb6bUXQIFygKdF2hDXhAREZHDYFDmyG6dBVb2Ba4f09Zr9QBaTAG8c9s6ZURERJRBDMocgDHBhOCQOwiLiEbhPD6oWyo/3I8sBTa9C8Q/BHLkB9p9CVRsa+ukEhERUSYxKLNzm45fx8RfT+L6/Wi1XgDhmJFzEZ5L+FPbQSYQ7zAX8C1q24QSERFRljAos/OAbNCyw9JSTHnOcAyfes5D4YR7iDF5IKT6W6jQYTRgMNg4pURERJRVDMrsuMpSSsgkIPNGLN7xWI4+HpvUY2cSimNY3BDcPV0ee+EG9q8kIiJyfAzK7JS0IZMqy/JulzDTcxYqGC6r7Uvjm2NKfDfEwAu4H632q1+2oK2TS0RERFnEoMxOhYVHobf7Roz2WA5vtzjcNPni7biB2JVQM+l+EVpbMyIiInJsDMrsUUQoGv05GO09d6vV7caaGBU3ALeRct5K6Y1JREREjo9Bmb05tR745Q3ki7qtqig/iOuOZcZmANyS7CZr/nl9ULd0AZsllYiIiCyHQZm9iI0ENo8FDi3R1v2rIrjax/jul/sqANN7YMIsPBvfthLcDUmDNSIiInJMDMrswbUjwMp+wO1z2nrgG0DT99DQwxtzfJOOU4b/SsgkIGtZhWOTEREROQsGZbaUYAT2fwHs+BBIiAfyFAM6ztEGhP2PBF5BlfyTjuhfugBLyIiIiJwMgzJbTJMkQVXEVWDVQODiXm2niu2AtjOBnCnbiEkVJYe9ICIicm4MyrJ5miTxSu6DGO+2EJ5x4YBnLqDVJ0DNVwA3tg8jIiJyVQzKrGjziRt4Y/mxxEb6uRGFiZ5fo3P8HrV+L3815HtlKVCwrDWTQURERA6AQZkVqioPnL+NdRfdsP/Q8cSArJbbGczwnIUAw00YTW6YZeyAHyO74rf8ZThNEhEREcEuZrKeNWsWSpUqBR8fH9SrVw/BwcGP3P+nn35ChQoV1P5Vq1bFhg0bYC9VlbU/3IoeSw9h6zV3RMYa4Q4jhnn8jB+9JqmA7IqpELrEvofp8S/hSni8amtGREREZPOgbMWKFRgxYgTGjx+Pw4cPo3r16mjRogXCwsJS3X///v3o2rUr+vbtiyNHjqBDhw5qOX78OGwdkL227DDuRcUlbivhdkMFY8M8VsHDLQGrjQ3QKuZjHDRVSNyH0yQRERGRXQRl06dPR//+/dG7d29UqlQJc+fORc6cObF48eJU9585cyZatmyJt99+GxUrVsQHH3yAWrVq4auvvoItqywn/HLCbIsJnQy7scHrXdQ2nEW4KQeGxr6O4XGvIwI5kzyX0yQRERGRzduUxcbG4tChQxgzZkziNoPBgGbNmuHAgQOpPke2S8maOSlZW7NmTar7x8TEqEUXHh6u/sbFxanFEv4IuYPQcO01fPEAkz0Xo63779pjCRUwInYQrsIvlWmSvFHziTwWS4cr0POKeca8dSS8bpmvjobXrGWl955l06Ds1q1bMBqNKFKkSJLtsn7q1KlUnxMaGprq/rI9NVOmTMHEiRNTbN+yZYsqkbOEQ7ckxHJX//dBHBoYjiPO5I7P4ztjrrEdElIUSJpUB4BWRaKwedNGi6TB1WzdutXWSXBazFvmraPhNcu8tXdRUVHp2s/pe19KKZx5yZqUlJUoUQLNmzeHr6+vRV6jYMgdfHP2oPp/GPJjWNzruGfKjb9MqQ91UTSvD8a2qoAWlZMGl5S+XxvyBRwUFARPT09mmQUxb62Hect8dTS8Zi1Lr6Wz66CsUKFCcHd3x40bN5Jsl3V/f/9UnyPbM7K/t7e3WpKTG7qlbur1nywMf1/vxCrM3QnVU90vXw5PzOpeC8+UKchpkrLIkuePmLfZhdct89XR8Jq1jPTer2za0N/Lywu1a9fG9u3bE7clJCSo9fr166f6HNluvr+QkpO09s8OMg3ShHaVH7vfx52rosGThRiQERERkf31vpSqxQULFuDrr7/GP//8g0GDBiEyMlL1xhQ9evRI0hHgzTffxKZNm/DZZ5+pdmcTJkzAwYMHMWTIEBu+C23i8Lmv1EK+nCmj4fw5PdVjsg8RERGRXbYp69KlC27evIn3339fNdavUaOGCrr0xvyXLl1SPTJ1gYGB+P777zFu3Di8++67eOqpp1TPyypVqsDWJOgKquSPfWduYNnWYDz55JNo8FRhVlcSERGR/QdlQkq50irp2rVrV4ptL730klrskVRl1i9bEHdPm9C62VNs90RERESOUX1JRERERAzKiIiIiOwCS8qIiIiI7ACDMiIiIiI7wKCMiIiIyA4wKCMiIiKyAwzKiIiIiOwAgzIiIiIiO8CgjIiIiMgOMCgjIiIisgN2Mc1SdjKZTOpveHi41V4jLi4OUVFR6jU8PVNOUE7MW3vE65Z562h4zTJvHYUec+gxSFpcLiiLiIhQf0uUKGHrpBAREZGLxSB58+ZN83E30+PCNieTkJCAa9euIU+ePHBzc7NaRCxB3+XLl+Hr62uV13BVzFvmrSPidct8dTS8Zi1LQi0JyIoVKwaDIe2WYy5XUiaZ8cQTT2TLa0lAxqCMeetoeN0ybx0Nr1nmrSN4VAmZjg39iYiIiOwAgzIiIiIiO8CgzAq8vb0xfvx49ZeYt46C1y3z1tHwmmXeOhuXa+hPREREZI9YUkZERERkBxiUEREREdkBBmVEREREdoBBGREREZEdYFCWSbNmzUKpUqXg4+ODevXqITg4+JH7//TTT6hQoYLav2rVqtiwYUNmX9rpZSRvly5dqmZmMF/keZTU7t270bZtWzWatOTRmjVrHptFu3btQq1atVQPtyeffFLlNWU9byVfk1+zsoSGhjJ7zUyZMgVPP/20mn2lcOHC6NChA06fPv3YPOJ3rXXylt+12YNBWSasWLECI0aMUMNeHD58GNWrV0eLFi0QFhaW6v779+9H165d0bdvXxw5ckR9AGQ5fvx4Vs8fXD1v9dG8r1+/nrhcvHgxW9PsCCIjI1VeSsCbHiEhIWjTpg2aNGmCo0ePYtiwYejXrx82b95s9bQ6e97q5CZoft3KzZH+57fffsPrr7+O33//HVu3blWTjzdv3lzld1r4XWu9vBX8rs0GMiQGZUzdunVNr7/+euK60Wg0FStWzDRlypRU93/55ZdNbdq0SbKtXr16poEDBzLrs5i3S5YsMeXNm5f5mAHysV+9evUj9xk1apSpcuXKSbZ16dLF1KJFC+Z1FvN2586dar+7d+8yLzMgLCxM5dtvv/2W5j78rrVe3vK7NnuwpCyDYmNjcejQITRr1izJfJqyfuDAgVSfI9vN9xdS+pPW/q4qM3krHjx4gJIlS6pJ4Nu3b48TJ05kU4qdF69Z66tRowaKFi2KoKAg7Nu3Lxte0bHdv39f/S1QoECa+/C6tV7eCn7XWh+Dsgy6desWjEYjihQpkmS7rKfVJkS2Z2R/V5WZvC1fvjwWL16MtWvXYtmyZUhISEBgYCCuXLmSTal2Tmlds+Hh4Xj48KHN0uUMJBCbO3cuVq5cqRb5MdG4cWNVXU+pk8+1VKE3aNAAVapUSTOb+F1rvbzld2328Mim1yGyivr166tFJwFZxYoVMW/ePHzwwQfMdbI7cnOTxfyaPX/+PD7//HN8++23Nk2bvZL2T9IGd+/evbZOisvmLb9rswdLyjKoUKFCcHd3x40bN5Jsl3V/f/9UnyPbM7K/q8pM3ibn6emJmjVr4ty5c1ZKpWtI65qVhr45cuSwWbqcVd26dXnNpmHIkCFYt24ddu7ciSeeeOKR+cjvWuvlbXL8rrUOBmUZ5OXlhdq1a2P79u1Jin9l3bzExpxsN99fSI+XtPZ3VZnJ2+Sk+vPvv/9WVUSUebxms5f0cOU1m5T0m5CgYfXq1dixYwdKly792HzkdWu9vE2O37VWkk0dCpzK8uXLTd7e3qalS5eaTp48aRowYIApX758ptDQUPX4q6++aho9enTi/vv27TN5eHiYPv30U9M///xjGj9+vMnT09P0999/2/BdOEfeTpw40bR582bT+fPnTYcOHTL93//9n8nHx8d04sQJG74L+xMREWE6cuSIWuRjP336dPX/ixcvqsclTyVvdf/++68pZ86cprfffltds7NmzTK5u7ubNm3aZMN34Rx5+/nnn5vWrFljOnv2rPoOePPNN00Gg8G0bds2G74L+zNo0CDVs3rXrl2m69evJy5RUVGJ+/C7Nvvylt+12YNBWSZ9+eWXpoCAAJOXl5caxuH3339PfKxRo0amnj17Jtn/xx9/NJUrV07tL0MNrF+/PmtnzollJG+HDRuWuG+RIkVMrVu3Nh0+fNhGKbdf+jAMyRc9L+Wv5G3y59SoUUPlbZkyZVSXeMp63n7yySemsmXLqh8PBQoUMDVu3Ni0Y8cOZm0yqeWpLObXIb9rsy9v+V2bPdzkH2uVwhERERFR+rBNGREREZEdYFBGREREZAcYlBERERHZAQZlRERERHaAQRkRERGRHWBQRkRERGQHGJQRERER2QEGZUREROS0du/ejbZt26JYsWJwc3PDmjVrMvT86Oho9OrVC1WrVoWHhwc6dOiQYp9du3apYydfQkNDM/RaDMqIiNLpvffew4ABA7KcX7du3ULhwoVx5coV5j2RlUVGRqJ69eqYNWtWpp4v83zmyJEDQ4cORbNmzR657+nTp3H9+vXERT7nGcGgjIicUmq/Ws2XCRMmJH5hP/fcc2jcuPEjjye/eGfOnImxY8cmbpNfz8l/Nf/888/w8fHBZ599lrht+fLlyJ07t/o1LQoVKoQePXpg/PjxFn7XRJRcq1at8OGHH6Jjx45ITUxMDEaOHInixYsjV65cqFevXuJnVci2OXPmoH///vD398ejSBAm++iLwZCxMItBGRE5JfNfqzNmzICvr2+SbfIlLL+A33jjDfTs2fOxx1u4cCECAwNRsmTJR+7TvXt39QX+1ltvqW179uzBsWPHUKdOnST79u7dG9999x3u3LljgXdLRJk1ZMgQHDhwQP14+uuvv/DSSy+hZcuWOHv2bIaPVaNGDRQtWhRBQUHYt29fhp/PoIyInJL5r9W8efOq0jHzbVJyNXr0aPTr1w9ly5Z97PHkC1vapaRl6tSpKsCT/STgEmfOnMHXX3+NyZMnp9i/cuXKqo3L6tWrs/hOiSizLl26hCVLluCnn35Cw4YN1XeB/GB79tln1fb0kkBs7ty5WLlypVpKlCihSt8PHz6cofR4ZOI9EBE5vIiICKxfvx5//vkn7t27hwsXLqjqxIkTJ6bYV0qzTp48maK0S/fOO+9g9uzZWLduHZ5//vnE7StWrFDPa9q0KY4ePYphw4apIKx06dLq8bp166qStL59+1rxnRJRWv7++29VYl6uXLkUVZoFCxZEepUvX14tOilVP3/+PD7//HN8++236T4OgzIickl58uRRAZOQ9iPSxiy1gEz/NW0ymVTJVnIbN27E2rVrsX37dhV8Je8YIIuQX83yGnpAJuR4R44csfA7I6L0evDgAdzd3XHo0CH115yUpmeF/Ojau3dvhp7DoIyIXJ4ETOYNe5N7+PCh+isN+JOrVq2a6k0ppWzyJZzWF3lqx5ceXVFRUS6f/0S2UrNmTVVSFhYWpqovLUlKx6VaMyMYlBERPYb0lhR3796Fn59fksekx5b0uGzSpIlqHCwlZ1IKlx5SLZr8eERk+dKwc+fOJa6HhISogKlAgQKq2lI650hvaOkxLUHazZs3Vcm3/OBq06aNeo6UqsfGxqrPrDR9kOfrDfuFdCaSUnBpKyrjmkmnnx07dmDLli0ZSiuDMiKix5DGv9J7U76Yk7c9EdIj87fffksMzDZt2pSuwOz48eOPHYqDiLLm4MGD6rOpGzFihPorva6XLl2qGvTLkBnSY/rq1avqR9gzzzyDF154IfE5rVu3xsWLFxPXJXgT0qxBSMCmPz9nzpwqoNu2bVuS100PN5N+RCIiJyVfvNLIXhr0Z1bnzp3VL+FPP/00yThlckx9hHAZDFa+hKX0SwIzCeTSItWW8uW/efNmi1ebEJFj4pAYRETpIENnyHAXCQkJae7zxBNPqLZj0sasRYsWCA8PT3Nf6RwQEBDAgIyIErGkjIgoHaRSQUb6Hj58OLp27ZrlPJPqEZm2pVu3bsx/IlJYUkZElA4y+Oz8+fMRHx+f5fySkrROnTpZJLgjIufBkjIiIiIiO8CSMiIiIiI7wKCMiIiIyA4wKCMiIiKyAwzKiIiIiOwAgzIiIiIiO8CgjIiIiMgOMCgjIiIisgMMyoiIiIjsAIMyIiIiItje/wMtDeTCisfJMwAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 700x500 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"# Data\n",
"T = [300,1300,2300,3300,4300,5300,6300,7300]\n",
"I_sim = [4.59e2,1.62e5,1.59e6,6.75e6,1.94e7,4.47e7,8.93e7,1.61e8]\n",
"sigma = 5.670374419e-8 # konstanta Stefan-Boltzmann\n",
"I_teori = [sigma * t**4 for t in T]\n",
"\n",
"# Hitung T^4\n",
"T4 = [t**4 for t in T]\n",
"\n",
"# Plot\n",
"plt.figure(figsize=(7,5))\n",
"plt.plot(T4, I_sim, 'o', label='Data Simulasi')\n",
"plt.plot(T4, I_teori, '-', label='Teori Stefan–Boltzmann')\n",
"plt.title(\"Hubungan Intensitas (I) vs Temperatur⁴ (T⁴)\")\n",
"plt.xlabel(\"T⁴ (K⁴)\")\n",
"plt.ylabel(\"Intensitas (W/m²)\")\n",
"plt.legend()\n",
"plt.grid(True)\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "2c293641-2adf-48a8-9fdd-48d486548057",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 600x400 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"\n",
"# Data langsung dalam list\n",
"r_cm = [10, 15, 20, 25, 30, 35, 40, 45, 50]\n",
"brightness_avg = [173.833, 134.511, 123.146, 112.885, 97.492, 88.023, 70.305, 53.818, 42.820]\n",
"inv_r2 = [0.01, 0.0044, 0.0025, 0.0016, 0.0011, 0.0008, 0.0006, 0.0005, 0.0004]\n",
"\n",
"# Plot brightness rata-rata vs 1/r^2\n",
"plt.figure(figsize=(6,4))\n",
"plt.scatter(inv_r2, brightness_avg)\n",
"plt.plot(inv_r2, brightness_avg)\n",
"plt.xlabel(\"1 / r² (1/cm²)\")\n",
"plt.ylabel(\"Brightness rata-rata\")\n",
"plt.title(\"Grafik Brightness Rata-rata vs 1/r²\")\n",
"plt.grid(True)\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "05feaac5-1645-4e18-abdf-4a1b2db9fe01",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.13.9"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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