11. Calculus.ipynb

{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"w2d3AM_calculus.ipynb","provenance":[],"collapsed_sections":[],"authorship_tag":"ABX9TyMMCwBmnLMtKd9eM3iAGhvW"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","source":["# Calculus // Derivative "],"metadata":{"id":"SqdzpHusFLjZ"}},{"cell_type":"markdown","source":["Derivative atau turunan adalah mencari gradient/titik potong antara x dan y yang optimum"],"metadata":{"id":"kOi2ytHD8YSw"}},{"cell_type":"markdown","source":["# Turunan Calculus Symbolic"],"metadata":{"id":"2JjILztdJHF6"}},{"cell_type":"markdown","source":["cara 1 mencari turunan suatu fungsi"],"metadata":{"id":"o0YygYv1HKlS"}},{"cell_type":"code","execution_count":1,"metadata":{"id":"4ayz_7AeCcVe","executionInfo":{"status":"ok","timestamp":1653740978304,"user_tz":-480,"elapsed":811,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"outputs":[],"source":["# caculus menggunakan library sympy\n","import sympy as sy"]},{"cell_type":"code","source":["# menghitung turunan \n","x = sy.Symbol('x', real = True) #sudah mempunyai suatu simbol/variabel x"],"metadata":{"id":"_5QeUGM4KOLk","executionInfo":{"status":"ok","timestamp":1653740978307,"user_tz":-480,"elapsed":20,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"execution_count":2,"outputs":[]},{"cell_type":"code","source":["y = 2*x**2+4*x-1 #fungsi pertama suatu variabel\n","y"],"metadata":{"id":"VAJCQFnrKepb","executionInfo":{"status":"ok","timestamp":1653740978976,"user_tz":-480,"elapsed":685,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"colab":{"base_uri":"https://localhost:8080/","height":38},"outputId":"2f33f507-2f8d-470e-dea2-3f8b35be6074"},"execution_count":3,"outputs":[{"output_type":"execute_result","data":{"text/plain":["2*x**2 + 4*x - 1"],"text/latex":"$\\displaystyle 2 x^{2} + 4 x - 1$"},"metadata":{},"execution_count":3}]},{"cell_type":"code","source":["# Turunan pertama\n","y1 = y.diff(x)\n","y1"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"cELnvwrSKmzE","executionInfo":{"status":"ok","timestamp":1653740978981,"user_tz":-480,"elapsed":230,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"28278feb-f462-4ef4-d0f0-2afad5311b53"},"execution_count":4,"outputs":[{"output_type":"execute_result","data":{"text/plain":["4*x + 4"],"text/latex":"$\\displaystyle 4 x + 4$"},"metadata":{},"execution_count":4}]},{"cell_type":"code","source":["# Hasil fungsi turunan pertama\n","y2 = 4*x+4\n","y2\n"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"H5x4rEHoKsf-","executionInfo":{"status":"ok","timestamp":1653740978983,"user_tz":-480,"elapsed":224,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"64cc30c8-2845-4532-9ce8-250a2981069b"},"execution_count":5,"outputs":[{"output_type":"execute_result","data":{"text/plain":["4*x + 4"],"text/latex":"$\\displaystyle 4 x + 4$"},"metadata":{},"execution_count":5}]},{"cell_type":"code","source":["# Turunan kedua\n","y2 = y2.diff(x)\n","y2"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":37},"id":"g3qYW2pTLJZa","executionInfo":{"status":"ok","timestamp":1653740978983,"user_tz":-480,"elapsed":219,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"37074c46-ebc7-4548-b225-28143f2990e2"},"execution_count":6,"outputs":[{"output_type":"execute_result","data":{"text/plain":["4"],"text/latex":"$\\displaystyle 4$"},"metadata":{},"execution_count":6}]},{"cell_type":"markdown","source":["cara 2 mencari turunan suatu fungsi"],"metadata":{"id":"_vwuIbCqHTTb"}},{"cell_type":"code","source":["y = 2*x**2+4*x-1 #fungsi pertama suatu variabel\n","y"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"CXsFyJnAHtWE","executionInfo":{"status":"ok","timestamp":1653740978984,"user_tz":-480,"elapsed":213,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"b7e879ed-f958-451b-ab0d-88d9dc9d0b99"},"execution_count":7,"outputs":[{"output_type":"execute_result","data":{"text/plain":["2*x**2 + 4*x - 1"],"text/latex":"$\\displaystyle 2 x^{2} + 4 x - 1$"},"metadata":{},"execution_count":7}]},{"cell_type":"code","source":["# cara lain untuk mencari turunan sebuah fungsi\n","# Turunan pertama\n","y.diff()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"hUnBbdKsHXO-","executionInfo":{"status":"ok","timestamp":1653740978985,"user_tz":-480,"elapsed":208,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"c0cf9a11-961f-4a10-d4c2-89db59f7d11c"},"execution_count":8,"outputs":[{"output_type":"execute_result","data":{"text/plain":["4*x + 4"],"text/latex":"$\\displaystyle 4 x + 4$"},"metadata":{},"execution_count":8}]},{"cell_type":"code","source":["# Turunan kedua\n","y.diff().diff() #diff.diff berarti turunan dua kali dan diff berarti turunan pertama"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":37},"id":"RrXSqHHmFoTc","executionInfo":{"status":"ok","timestamp":1653740978988,"user_tz":-480,"elapsed":205,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"c6a708de-5ffa-4211-9e88-62f0249ad341"},"execution_count":9,"outputs":[{"output_type":"execute_result","data":{"text/plain":["4"],"text/latex":"$\\displaystyle 4$"},"metadata":{},"execution_count":9}]},{"cell_type":"code","source":["# Turunan ketiga\n","y.diff().diff().diff()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":37},"id":"JkIlpqndGNBq","executionInfo":{"status":"ok","timestamp":1653740978990,"user_tz":-480,"elapsed":200,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"acbc35cc-4524-41e3-d161-496b8cbeee2f"},"execution_count":10,"outputs":[{"output_type":"execute_result","data":{"text/plain":["0"],"text/latex":"$\\displaystyle 0$"},"metadata":{},"execution_count":10}]},{"cell_type":"markdown","source":["cara 3 mencari turunan suatu fungsi"],"metadata":{"id":"VJN3o6JgH2DE"}},{"cell_type":"code","source":["y = 2*x**2+4*x-1 #fungsi pertama suatu variabel\n","y"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"M2jp2CgXH672","executionInfo":{"status":"ok","timestamp":1653740978991,"user_tz":-480,"elapsed":196,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"c4c3b8c4-ef8a-42ad-c1d0-01d86a0e2d5d"},"execution_count":11,"outputs":[{"output_type":"execute_result","data":{"text/plain":["2*x**2 + 4*x - 1"],"text/latex":"$\\displaystyle 2 x^{2} + 4 x - 1$"},"metadata":{},"execution_count":11}]},{"cell_type":"code","source":["# Turunan pertama\n","sy.diff(y)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"0OIP2aE9H7ej","executionInfo":{"status":"ok","timestamp":1653740978993,"user_tz":-480,"elapsed":192,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"43963e44-b9fc-4299-a203-b2d2e3c40c0d"},"execution_count":12,"outputs":[{"output_type":"execute_result","data":{"text/plain":["4*x + 4"],"text/latex":"$\\displaystyle 4 x + 4$"},"metadata":{},"execution_count":12}]},{"cell_type":"code","source":["#Turunan kedua\n","sy.diff(sy.diff(y)) #atau sy.diff(df)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":37},"id":"90mo3YXIJ4IP","executionInfo":{"status":"ok","timestamp":1653740978994,"user_tz":-480,"elapsed":186,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"d9b8f6f7-16b6-48f1-9bef-a6a9f46a8331"},"execution_count":13,"outputs":[{"output_type":"execute_result","data":{"text/plain":["4"],"text/latex":"$\\displaystyle 4$"},"metadata":{},"execution_count":13}]},{"cell_type":"code","source":["# Fungsi \n","g = sy.cos(x)-sy.log(x**2)\n","g"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"1_tlkfT7IkNG","executionInfo":{"status":"ok","timestamp":1653740978994,"user_tz":-480,"elapsed":182,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"12dc8e41-f1f5-488b-9988-4f7e4c844e98"},"execution_count":14,"outputs":[{"output_type":"execute_result","data":{"text/plain":["-log(x**2) + cos(x)"],"text/latex":"$\\displaystyle - \\log{\\left(x^{2} \\right)} + \\cos{\\left(x \\right)}$"},"metadata":{},"execution_count":14}]},{"cell_type":"code","source":["# Turunan pertama\n","g.diff(x)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":51},"id":"L-621ITyIkDt","executionInfo":{"status":"ok","timestamp":1653740978995,"user_tz":-480,"elapsed":180,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"ab609080-6263-4e7c-a12a-1577e4cff631"},"execution_count":15,"outputs":[{"output_type":"execute_result","data":{"text/plain":["-sin(x) - 2/x"],"text/latex":"$\\displaystyle - \\sin{\\left(x \\right)} - \\frac{2}{x}$"},"metadata":{},"execution_count":15}]},{"cell_type":"code","source":["# Turunan kedua\n","g.diff(x).diff(x)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":51},"id":"tLEaqlmsItw2","executionInfo":{"status":"ok","timestamp":1653740979621,"user_tz":-480,"elapsed":804,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"88e5bd3f-986d-4131-d110-0eb15388ca18"},"execution_count":16,"outputs":[{"output_type":"execute_result","data":{"text/plain":["-cos(x) + 2/x**2"],"text/latex":"$\\displaystyle - \\cos{\\left(x \\right)} + \\frac{2}{x^{2}}$"},"metadata":{},"execution_count":16}]},{"cell_type":"markdown","source":["# Turunan Calculus Numerical"],"metadata":{"id":"pUG9bnZkKeEr"}},{"cell_type":"code","source":["# Fungsi library yang digunakan\n","import numpy as np\n"],"metadata":{"id":"5aBMqblELJUC","executionInfo":{"status":"ok","timestamp":1653740979699,"user_tz":-480,"elapsed":228,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"execution_count":17,"outputs":[]},{"cell_type":"code","source":["# linspace 0,20 yaitu suatu skala/diagram garis dari 0 sampai 20. linspace itu membuat garisnya teratur menjadi 0,5,10,15,20 sampai batas akhirnyaa\n","x = np.linspace(0,20)\n","y = 2*x**2+4*x-1 # persamaan fungsi y"],"metadata":{"id":"Y0JhC5lpLJQD","executionInfo":{"status":"ok","timestamp":1653740979700,"user_tz":-480,"elapsed":228,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"execution_count":18,"outputs":[]},{"cell_type":"code","source":["x # batas garis fungsi x dari 0 sampai 20"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"cLHHEQedQaCG","executionInfo":{"status":"ok","timestamp":1653740979701,"user_tz":-480,"elapsed":228,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"f3639305-1909-41aa-c07c-4234b74b8b9f"},"execution_count":19,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([ 0.        ,  0.40816327,  0.81632653,  1.2244898 ,  1.63265306,\n","        2.04081633,  2.44897959,  2.85714286,  3.26530612,  3.67346939,\n","        4.08163265,  4.48979592,  4.89795918,  5.30612245,  5.71428571,\n","        6.12244898,  6.53061224,  6.93877551,  7.34693878,  7.75510204,\n","        8.16326531,  8.57142857,  8.97959184,  9.3877551 ,  9.79591837,\n","       10.20408163, 10.6122449 , 11.02040816, 11.42857143, 11.83673469,\n","       12.24489796, 12.65306122, 13.06122449, 13.46938776, 13.87755102,\n","       14.28571429, 14.69387755, 15.10204082, 15.51020408, 15.91836735,\n","       16.32653061, 16.73469388, 17.14285714, 17.55102041, 17.95918367,\n","       18.36734694, 18.7755102 , 19.18367347, 19.59183673, 20.        ])"]},"metadata":{},"execution_count":19}]},{"cell_type":"code","source":["x.shape"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"_3wbgtuCQcUi","executionInfo":{"status":"ok","timestamp":1653740979705,"user_tz":-480,"elapsed":225,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"7a887a73-4d40-4985-c4d3-63bd5d976ba7"},"execution_count":20,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(50,)"]},"metadata":{},"execution_count":20}]},{"cell_type":"code","source":["y # fungsi y array"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"bM3sv7Y9QqRN","executionInfo":{"status":"ok","timestamp":1653740979706,"user_tz":-480,"elapsed":213,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"1c73621f-61e0-4b9a-aeef-b9eb51284085"},"execution_count":21,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([ -1.        ,   0.96584756,   3.59808413,   6.8967097 ,\n","        10.86172428,  15.49312786,  20.79092045,  26.75510204,\n","        33.38567264,  40.68263224,  48.64598084,  57.27571845,\n","        66.57184506,  76.53436068,  87.16326531,  98.45855893,\n","       110.42024157, 123.0483132 , 136.34277384, 150.30362349,\n","       164.93086214, 180.2244898 , 196.18450646, 212.81091212,\n","       230.10370679, 248.06289046, 266.68846314, 285.98042482,\n","       305.93877551, 326.5635152 , 347.8546439 , 369.8121616 ,\n","       392.4360683 , 415.72636401, 439.68304873, 464.30612245,\n","       489.59558517, 515.5514369 , 542.17367763, 569.46230737,\n","       597.41732611, 626.03873386, 655.32653061, 685.28071637,\n","       715.90129113, 747.18825489, 779.14160766, 811.76134944,\n","       845.04748022, 879.        ])"]},"metadata":{},"execution_count":21}]},{"cell_type":"code","source":["y.shape"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"ArmH-vwhQ2wN","executionInfo":{"status":"ok","timestamp":1653740979708,"user_tz":-480,"elapsed":209,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"9b8546fc-4e4a-4827-c889-df5d3e72ab90"},"execution_count":22,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(50,)"]},"metadata":{},"execution_count":22}]},{"cell_type":"code","source":["import matplotlib.pyplot as plt\n","\n","plt.plot(x,y) # plot fungsi x dan y"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":282},"id":"DxPgcQViRTUx","executionInfo":{"status":"ok","timestamp":1653740979713,"user_tz":-480,"elapsed":205,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"8e013690-f26a-4c88-b32e-2484076a91f9"},"execution_count":23,"outputs":[{"output_type":"execute_result","data":{"text/plain":["[<matplotlib.lines.Line2D at 0x7fa4d71f36d0>]"]},"metadata":{},"execution_count":23},{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["Turunan pertama/first order"],"metadata":{"id":"lTx2EUSoTmk1"}},{"cell_type":"code","source":["# diff/diferensial/fungsi turunan adalah fungsi lain dari suatu fungsi sebelumnya contohnya fungsi f dijadikan f' yang mempunyai nilai tidak memakai aturan\n","df = np.diff(y)/np.diff(x) # turunan fungsi y dibagi fungsi x / diferensial\n","\n","# Gradien adalah nilai yang menunjukkan kemiringan/kecondongan suatu garis lurus\n","# gradient untuk mencari nilai garis nya\n","g = np.gradient(y,x)\n","\n","#rumus df dan g itu sama atau mencari turunan fungsi pertama x dan y"],"metadata":{"id":"OhNi8PADLqNi","executionInfo":{"status":"ok","timestamp":1653740979715,"user_tz":-480,"elapsed":193,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"execution_count":24,"outputs":[]},{"cell_type":"code","source":["df #turunan hasilnya array"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"VHP5lU_HLwxH","executionInfo":{"status":"ok","timestamp":1653740979721,"user_tz":-480,"elapsed":197,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"a11b313b-394e-41c2-dc16-08efade96589"},"execution_count":25,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([ 4.81632653,  6.44897959,  8.08163265,  9.71428571, 11.34693878,\n","       12.97959184, 14.6122449 , 16.24489796, 17.87755102, 19.51020408,\n","       21.14285714, 22.7755102 , 24.40816327, 26.04081633, 27.67346939,\n","       29.30612245, 30.93877551, 32.57142857, 34.20408163, 35.83673469,\n","       37.46938776, 39.10204082, 40.73469388, 42.36734694, 44.        ,\n","       45.63265306, 47.26530612, 48.89795918, 50.53061224, 52.16326531,\n","       53.79591837, 55.42857143, 57.06122449, 58.69387755, 60.32653061,\n","       61.95918367, 63.59183673, 65.2244898 , 66.85714286, 68.48979592,\n","       70.12244898, 71.75510204, 73.3877551 , 75.02040816, 76.65306122,\n","       78.28571429, 79.91836735, 81.55102041, 83.18367347])"]},"metadata":{},"execution_count":25}]},{"cell_type":"code","source":["df.shape"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"MMbGmH54UnSB","executionInfo":{"status":"ok","timestamp":1653740979723,"user_tz":-480,"elapsed":192,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"f2eb9198-c208-4620-fe2e-be522457ae03"},"execution_count":26,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(49,)"]},"metadata":{},"execution_count":26}]},{"cell_type":"code","source":["g #turunan hasilnya array"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"kq6ujxzYUMZE","executionInfo":{"status":"ok","timestamp":1653740980483,"user_tz":-480,"elapsed":940,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"fbd856f1-35eb-45c3-a936-10ac0a5f7c0e"},"execution_count":27,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([ 4.81632653,  5.63265306,  7.26530612,  8.89795918, 10.53061224,\n","       12.16326531, 13.79591837, 15.42857143, 17.06122449, 18.69387755,\n","       20.32653061, 21.95918367, 23.59183673, 25.2244898 , 26.85714286,\n","       28.48979592, 30.12244898, 31.75510204, 33.3877551 , 35.02040816,\n","       36.65306122, 38.28571429, 39.91836735, 41.55102041, 43.18367347,\n","       44.81632653, 46.44897959, 48.08163265, 49.71428571, 51.34693878,\n","       52.97959184, 54.6122449 , 56.24489796, 57.87755102, 59.51020408,\n","       61.14285714, 62.7755102 , 64.40816327, 66.04081633, 67.67346939,\n","       69.30612245, 70.93877551, 72.57142857, 74.20408163, 75.83673469,\n","       77.46938776, 79.10204082, 80.73469388, 82.36734694, 83.18367347])"]},"metadata":{},"execution_count":27}]},{"cell_type":"code","source":["g.shape"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"4B5dDhw_UriK","executionInfo":{"status":"ok","timestamp":1653740980484,"user_tz":-480,"elapsed":170,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"20ded5d6-8c02-481d-f8f9-43502db54773"},"execution_count":28,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(50,)"]},"metadata":{},"execution_count":28}]},{"cell_type":"markdown","source":["Turunan kedua/second order"],"metadata":{"id":"FwD-lXYKU1Ii"}},{"cell_type":"code","source":["#Second Order\n","x1 = x[1:] #diambil indeks ke satu dan seterusnya atau turunan kedua terhadap x\n","df2 = np.diff(df)/np.diff(x1) #Turunan pertama di turunkan keduakalinya terhadap x1\n","g2f1 = np.gradient(g,x) #turunan fungsi dengan rumus gradient keduakalianya terhadap x diawal\n","g2f2 = np.gradient(df,x1) # g2f2 = df2"],"metadata":{"id":"z7Ni0MGwU0Tw","executionInfo":{"status":"ok","timestamp":1653740980488,"user_tz":-480,"elapsed":165,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"execution_count":29,"outputs":[]},{"cell_type":"code","source":["x1"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"hZO5rzwVZaft","executionInfo":{"status":"ok","timestamp":1653740980490,"user_tz":-480,"elapsed":166,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"65fc3a3c-80bf-4ee9-ca62-5f9978a6867d"},"execution_count":30,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([ 0.40816327,  0.81632653,  1.2244898 ,  1.63265306,  2.04081633,\n","        2.44897959,  2.85714286,  3.26530612,  3.67346939,  4.08163265,\n","        4.48979592,  4.89795918,  5.30612245,  5.71428571,  6.12244898,\n","        6.53061224,  6.93877551,  7.34693878,  7.75510204,  8.16326531,\n","        8.57142857,  8.97959184,  9.3877551 ,  9.79591837, 10.20408163,\n","       10.6122449 , 11.02040816, 11.42857143, 11.83673469, 12.24489796,\n","       12.65306122, 13.06122449, 13.46938776, 13.87755102, 14.28571429,\n","       14.69387755, 15.10204082, 15.51020408, 15.91836735, 16.32653061,\n","       16.73469388, 17.14285714, 17.55102041, 17.95918367, 18.36734694,\n","       18.7755102 , 19.18367347, 19.59183673, 20.        ])"]},"metadata":{},"execution_count":30}]},{"cell_type":"code","source":["x1.shape"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"7eMs6LkmZdeB","executionInfo":{"status":"ok","timestamp":1653740980491,"user_tz":-480,"elapsed":159,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"fcfb78b6-cad6-48d9-f3f2-6791c3f38179"},"execution_count":31,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(49,)"]},"metadata":{},"execution_count":31}]},{"cell_type":"code","source":["df2"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"nJN_ukJgXcz0","executionInfo":{"status":"ok","timestamp":1653740980492,"user_tz":-480,"elapsed":152,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"3f55eb2f-0731-4c77-e8d0-2abd11339db7"},"execution_count":32,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4.,\n","       4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4.,\n","       4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4.])"]},"metadata":{},"execution_count":32}]},{"cell_type":"code","source":["df2.shape #48 karena fungsi sebelumnya x1 itu 49"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"OdlACPOBX4pI","executionInfo":{"status":"ok","timestamp":1653740980493,"user_tz":-480,"elapsed":145,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"de26cb9a-a1fb-4c02-dd5a-21ded5635474"},"execution_count":33,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(48,)"]},"metadata":{},"execution_count":33}]},{"cell_type":"code","source":["g2f1"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"Y0is0I0DXhuV","executionInfo":{"status":"ok","timestamp":1653740980494,"user_tz":-480,"elapsed":135,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"b5f1b1bb-da26-4b3c-b72e-659fe6e41fda"},"execution_count":34,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([2., 3., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4.,\n","       4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4.,\n","       4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 3., 2.])"]},"metadata":{},"execution_count":34}]},{"cell_type":"code","source":["g2f1.shape"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"9I2RY19aYD4O","executionInfo":{"status":"ok","timestamp":1653740980494,"user_tz":-480,"elapsed":129,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"4d1d1f19-acc6-4289-b61b-6fd1241b4e1c"},"execution_count":35,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(50,)"]},"metadata":{},"execution_count":35}]},{"cell_type":"code","source":["g2f2  #Turunan kedua nilai df2=g2f2 itu sama"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"E6Yv9HwAXlWt","executionInfo":{"status":"ok","timestamp":1653740980495,"user_tz":-480,"elapsed":121,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"e2827e3c-b0df-4db0-f9ba-f13bed351f26"},"execution_count":36,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4.,\n","       4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4.,\n","       4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4., 4.])"]},"metadata":{},"execution_count":36}]},{"cell_type":"code","source":["g2f2.shape "],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"44rmor1iYI_p","executionInfo":{"status":"ok","timestamp":1653740980496,"user_tz":-480,"elapsed":114,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"41f5dc56-2c09-49db-b50f-a4ddd2f8fead"},"execution_count":37,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(49,)"]},"metadata":{},"execution_count":37}]},{"cell_type":"code","source":["# plot fungsi x dengan turunan pertama fungsi df\n","plt.plot(x[1:],df)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":282},"id":"ejDHgzr6YmzE","executionInfo":{"status":"ok","timestamp":1653740980496,"user_tz":-480,"elapsed":106,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"79e8b262-c22d-4ad3-d05e-c56a511ee894"},"execution_count":38,"outputs":[{"output_type":"execute_result","data":{"text/plain":["[<matplotlib.lines.Line2D at 0x7fa4d6cf0750>]"]},"metadata":{},"execution_count":38},{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/png":"iVBORw0KGgoAAAANSUhEUgAAAXAAAAD4CAYAAAD1jb0+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nO3deXxU9b3/8dcHQoCw74QlhB3ZhQDiimgVEUVEqdYFlYreXm9bf60kKCqKVrBata1VccXqdUtAEBUXRHFXUMlG2EJYA2ENYQlZ5vv7I2PLpQEGmJkzk7yfjwePzJw50/PumcnbyZk5nzHnHCIiEn1qeB1AREROjApcRCRKqcBFRKKUClxEJEqpwEVEolRMODfWvHlzl5iYGM5NiohEvaVLl253zrU4fHlYCzwxMZElS5aEc5MiIlHPzNZVtlyHUEREopQKXEQkSqnARUSilApcRCRKqcBFRKKUClxEJEqpwEVEopQKXEQkhDbtPsB972RRVu4L+v92WE/kERGpLnw+x6vfrmP6+zn4HIw5tS192zUO6jZU4CIiQbZm214mp2XwXd5OzuranD+N6UP7pnFB344KXEQkSMrKfcz8PJfHP15FnZga/PmKvlwxsB1mFpLtqcBFRIIga3MhyWnpZG7aw4herbn/sl60bFAnpNtUgYuInITi0nL+9skqnv4slyZxsTx1zQAu6hMflm0HVOBmdjvwa8ABGcCNQDzwOtAMWApc55wrCVFOEZGIsyRvJ8lp6azZto+xA9px96hTaBwXG7btH/NjhGbWFvgtkOSc6w3UBK4CZgCPOee6ALuACaEMKiISKfYdLGPqvCyufOZrikt9zLppMI+O6xfW8obAD6HEAHXNrBSIA/KB4cCv/LfPAqYCTwU7oIhIJFm8chuTZ2ewufAA44cmcseF3alX25uj0cfcqnNuk5k9AqwHDgAfUnHIZLdzrsy/2kagbWX3N7OJwESAhISEYGQWEQm73ftLeODd5aQu3UjnFvV465ahJCU29TTTMQvczJoAo4GOwG7gLWBEoBtwzs0EZgIkJSW5E4spIuKd9zPyuXtuFrv2l3DbuV24bXgX6tSq6XWsgA6hnA+sdc5tAzCz2cAZQGMzi/G/Cm8HbApdTBGR8CvYU8w9c7NYkLWFXm0aMuumQfRq08jrWP8SSIGvB04zszgqDqGcBywBFgFXUPFJlPHA3FCFFBEJJ+ccqUs3Mm1+NsVlPpJH9ODmszoSUzOyxkcFcgz8WzNLBX4AyoAfqTgk8i7wupk94F/2fCiDioiEw4ad+7lzTgafr9rOoMQmTB/bl84t6nsdq1IBvXXqnLsXuPewxbnA4KAnEhHxQLnP8c+v83j4gxUYcP/oXlw7pAM1aoTmNPhg0JmYIlLtrS4oIjktg6XrdnFOtxY8OKY37ZoEf/hUsKnARaTaKi338cxna/jrwtXE1a7JX8b1Y8ypbUM2fCrYVOAiUi1lbirkjtR0lufv4eI+8Uy9tBctGtT2OtZxUYGLSLVSXFrO4x+v4tnPc2laL5anrx3IiN6tvY51QlTgIlJtfLd2Jylp6eRu38e4pHbcNbInjeJqeR3rhKnARaTK23uwjBnv5/DPb9bRrkldXpkwhDO7Nvc61klTgYtIlbZoRQFT5mSyufAAN53RkT9e2I242KpRfVXj/4WIyGF27Sth2vxsZv+4iS4t65N66+kM7NDE61hBpQIXkSrFOce7GfncOzeLwgOl/HZ4F/57eBdqx3g/fCrYVOAiUmVs3VPMlLcz+Sh7K33aNuKVXw/hlPiGXscKGRW4iEQ95xxvLtnAA+8up6TMx+SLejDhzMgbPhVsKnARiWrrd+wnZXY6X63ZweCOTZkxti8dm9fzOlZYqMBFJCqV+xwvfZXHIx+soGYN48Exvbl6UEJED58KNhW4iESdlVuLmJSazk8bdjO8R0seHNOb+EZ1vY4VdipwEYkaJWU+nv5sDX/7ZBX1a8fwxFX9ubRfm6gZPhVsKnARiQrLNuwmOS2dnC1FXNKvDVMv6Umz+tE1fCrYAvlS4+7AG4cs6gTcA7zsX54I5AHjnHO7gh9RRKqzAyXlPP7xSp79PJcWDWrz7PVJ/KJnK69jRYRAvlJtBdAfwMxqUvHlxXOAFGChc266maX4ryeHMKuIVDPf5O4gJS2dvB37uXpwApNH9qBhnegdPhVsx3sI5TxgjXNunZmNBob5l88CPkUFLiJBUFRcyvT3c3j12/V0aBbH/948hNM7R//wqWA73gK/CnjNf7mVcy7ff3kLUOnfNGY2EZgIkJCQcCIZRaQa+SRnK3fNyWTrnmJ+fWZH/nBBd+rGVr3T4IMh4AI3s1jgUmDy4bc555yZucru55ybScW32JOUlFTpOiIiO/Ye5P752cz9aTPdWzXgqWsH0r99Y69jRbTjeQV+EfCDc26r//pWM4t3zuWbWTxQEPx4IlLVOed4Jz2fqfOyKCou5ffnd+U3w7oQG1O1T4MPhuMp8Kv59+ETgHnAeGC6/+fcIOYSkWpgS2ExU97O4OPlBfRr35iHx/ale+sGXseKGgEVuJnVA34B3HLI4unAm2Y2AVgHjAt+PBGpinw+x+vfb+Ch95ZT6vMx5eJTuPGMjtSsRqfBB0NABe6c2wc0O2zZDio+lSIiErC87ftImZ3ON7k7GdqpGdPH9qFDs+oxfCrYdCamiIRFuc/xwhdrefSjFdSqUYOHLu/DVYPaV9vT4INBBS4iIbdiSxGTUpexbGMh55/Skgcu60PrRnW8jhX1VOAiEjIlZT6eXLSaf3y6moZ1avG3q09lVN94veoOEhW4iITETxt2Myl1GSu37uWy/m2455JeNK0X63WsKkUFLiJBdaCknEc/XMELX66lVcM6vHBDEsN7aPhUKKjARSRovlqznZS0DNbv3M81QxJIuagHDTR8KmRU4CJy0vYUl/LQe8t57bsNJDaL4/WJp3Fap2bHvqOcFBW4iJyUj7K3MuXtDLYVHeSWczpx+/ndqFNLw6fCQQUuIidk+96DTJ2Xxfz0fHq0bsCz1yfRt52GT4WTClxEjotzjrk/bea+d7LYd7CcP/yiG7ec01nDpzygAheRgG3efYC75mSwaMU2Tk2oGD7VtZWGT3lFBS4ix+TzOV79bj0z3s+h3Oe4Z1RPxp+eqOFTHlOBi8hRrd2+j+S0dL5bu5MzuzTnocv70L5pnNexBBW4iBxBWbmP579Yy18+WklsTA0eHtuXK5Pa6TT4CKICF5H/kL15D8lp6WRsKuSCnq2YdllvWjXU8KlIowIXkX85WFbO3z9ZzVOfrqFxXC2e/NUARvZprVfdEUoFLiIALF23i+S0dFYX7OXyAW25++KeNNHwqYgW6FeqNQaeA3oDDrgJWAG8ASQCecA459yukKQUkZDZd7CMRz5cwUtf5dGmUV1eunEQw7q39DqWBCDQV+BPAAucc1eYWSwQB9wJLHTOTTezFCAFSA5RThEJgS9WbSdldjobdx3g+qEdmDSiB/Vr6w/zaHHMR8rMGgFnAzcAOOdKgBIzGw0M8682C/gUFbhIVCjcX8qD72Xz5pKNdGpejzdvGcrgjk29jiXHKZD/1HYEtgEvmlk/YCnwO6CVcy7fv84WoNKBv2Y2EZgIkJCQcNKBReTkLMjcwt1zM9m5r4TfDOvMb8/rquFTUSqQAo8BBgD/45z71syeoOJwyb8455yZucru7JybCcwESEpKqnQdEQm9bUUVw6fezcinZ3xDXrxhEL3bNvI6lpyEQAp8I7DROfet/3oqFQW+1czinXP5ZhYPFIQqpIicOOccs3/YxP3zszlQWs4dF3Zn4tmdqFVTw6ei3TEL3Dm3xcw2mFl359wK4Dwg2/9vPDDd/3NuSJOKyHHbuGs/d87JZPHKbQzs0IQZY/vSpWV9r2NJkAT6dvP/AK/6P4GSC9wI1ADeNLMJwDpgXGgiisjx8vkcr3y7jhnv5+CA+y7txXWndaCGhk9VKQEVuHPuJyCpkpvOC24cETlZa7btJSUtne/zdnFW1+b8aYyGT1VV+sCnSBVRWu5j5uJcnli4irq1avLIlf0YO6CtToOvwlTgIlVA5qZCktPSydq8hxG9WnP/Zb1o2UDDp6o6FbhIFCsuLeevC1fxzOJcmsTF8tQ1A7ioT7zXsSRMVOAiUWpJ3k4mpaWTu20fVwxsx5SLT6FxnIZPVScqcJEos+9gGQ8vyOHlb9bRplFdXr5pMGd3a+F1LPGAClwkiny2cht3zs5gc+EBxg9N5I4Lu1NPw6eqLT3yIlFg9/4Sps1fTtoPG+ncoh5v3TKUpEQNn6ruVOAiEe79jHzunpvFrv0l3HZuF24b3kXDpwRQgYtErIKiYu55O4sFWVvo1aYhs24aRK82Gj4l/6YCF4kwzjneWrqRB+ZnU1zmI3lED24+qyMxGj4lh1GBi0SQDTv3c+ecDD5ftZ1BiU2YPrYvnVto+JRUTgUuEgHKfY6Xv87jzx+swIBpo3txzRANn5KjU4GLeGx1QRHJaRksXbeLc7q14E+X96Ft47pex5IooAIX8UhpuY9nPlvDXxeuJq52TR77ZT8u66/hUxI4FbiIBzI2FnJH6jJythRxcd94pl7SixYNansdS6KMClwkjIpLy3n841U8+3kuzerF8sx1A7mwV2uvY0mUCqjAzSwPKALKgTLnXJKZNQXeABKBPGCcc25XaGKKRL9vc3eQMjuDtdv38cuk9tw58hQaxdXyOpZEseN5BX6uc277IddTgIXOuelmluK/nhzUdCJVQFFxKQ8vWME/v1lHuyZ1eWXCEM7s2tzrWFIFnMwhlNHAMP/lWcCnqMBF/o9FOQXcNSeD/D3F3HhGxfCpuFgduZTgCPSZ5IAPzcwBzzjnZgKtnHP5/tu3AK0qu6OZTQQmAiQkJJxkXJHosHNfCdPmZzPnx010bVmf1FtPZ2CHJl7Hkiom0AI/0zm3ycxaAh+ZWc6hNzrnnL/c/4O/7GcCJCUlVbqOSFXhnOPdjHzunZtF4YFSfju8C/89vAu1YzR8SoIv0G+l3+T/WWBmc4DBwFYzi3fO5ZtZPFAQwpwiEW/rnmKmvJ3JR9lb6dO2Ea/8eginxDf0OpZUYccscDOrB9RwzhX5L18A3A/MA8YD0/0/54YyqEikcs7x5pINPPDuckrKfEy+qAcTztTwKQm9QF6BtwLm+M8OiwH+1zm3wMy+B940swnAOmBc6GKKRKb1O/aTMjudr9bsYEjHpkwf25eOzet5HUuqiWMWuHMuF+hXyfIdwHmhCCUS6cp9jpe+yuORD1ZQs4bx4JjeXD0oQcOnJKz0eSaR47RqaxGT0tL5cf1uhvdoyYNjehPfSMOnJPxU4CIBKinz8dSna/j7olXUrx3D47/sz+j+bTR8SjyjAhcJwLINu0lOSydnSxGX9mvDvZf0pFl9DZ8Sb6nARY7iQEk5j328kuc+z6Vlgzo8d30S5/es9Jw1kbBTgYscwddrdjB5djp5O/Zz9eAEJo/sQcM6Gj4lkUMFLnKYPcWlPPReDq99t56EpnH8781DOL2zhk9J5FGBixxi4fKt3DUnk4KiYm4+qyP/7xfdqRur0+AlMqnARYAdew9y3zvZzFu2me6tGvD0dQPp376x17FEjkoFLtWac455yzZz3zvZFBWXcvv53fivYZ2JjdFp8BL5VOBSbeUXHmDKnEwW5hTQr31jHh7bl+6tG3gdSyRgKnCpdnw+x+vfb+Ch95ZT6vMx5eJTuPGMjtTUafASZVTgUq3kbd9Hyux0vsndydBOzZg+tg8dmmn4lEQnFbhUC2XlPl78Mo9HP1pBrRo1mH55H345qL1Og5eopgKXKi9nyx6SU9NZtrGQ809pxQOX9aZ1ozpexxI5aSpwqbIOlpXz5KI1/GPRahrVrcXfrj6VUX3j9apbqgwVuFRJP67fRXJaOiu37mXMqW25e1RPmtaL9TqWSFAFXOBmVhNYAmxyzo0ys47A60AzYClwnXOuJDQxRQKzv6SMRz9cyQtfrqV1wzq8eMMgzu3R0utYIiFxPGcr/A5Yfsj1GcBjzrkuwC5gQjCDiRyvL1dv58LHF/P8F2u5ZkgCH95+tspbqrSACtzM2gEXA8/5rxswHEj1rzILuCwUAUWOpfBAKSlp6Vzz3LfE1KjBGxNP44HL+tBAkwOligv0EMrjwCTg59PUmgG7nXNl/usbgbaV3dHMJgITARISEk48qUglPszawpS3M9m+9yC3nNOJ28/vRp1aGj4l1cMxC9zMRgEFzrmlZjbseDfgnJsJzARISkpyx51QpBLb9x5k6rws5qfn06N1A54bn0Tfdho+JdVLIK/AzwAuNbORQB2gIfAE0NjMYvyvwtsBm0IXU6SCc463f9rEfe9ks/9gOX+8oBu3nNOZWjU1fEqqn2MWuHNuMjAZwP8K/I/OuWvM7C3gCio+iTIemBvCnCJs3n2Au+ZksGjFNgYkNGbG2L50baXhU1J9ncznwJOB183sAeBH4PngRBL5v3w+x6vfrWfG+zmU+xz3XtKT64cmaviUVHvHVeDOuU+BT/2Xc4HBwY8k8m9rt+8jOS2d79bu5MwuzXno8j60bxrndSyRiKAzMSUilZX7eO6LtTz20Upqx9Tg4Sv6cuXAdjoNXuQQKnCJONmb95Cclk7GpkIu7NWKaaN707Khhk+JHE4FLhHjYFk5f/9kNU99uobGcbE8dc0ALuoT73UskYilApeIsHTdTialprNm2z4uH9CWe0b1pHGchk+JHI0KXDy172AZf/5gBbO+zqNNo7q8dOMghnXX/BKRQKjAxTOfr9rG5NkZbNx1gOtO60DyRT2oX1tPSZFA6bdFwq5wfykPvJvNW0s30ql5Pd68ZSiDOzb1OpZI1FGBS1gtyMzn7rlZ7NxXwm+Gdea353XV8CmRE6QCl7AoKCrm3rlZvJ+5hZ7xDXnxhkH0btvI61giUU0FLiHlnCPth01Mm5/NgdJy7riwOxPP7qThUyJBoAKXkNm4az93zslk8cptDOzQhBlj+9KlZX2vY4lUGSpwCTqfz/HPb9YxY0EOAPdd2ovrTutADQ2fEgkqFbgE1Zpte0lOTWfJul2c1bU5fxqj4VMioaICl6AoLfcxc3EuTyxcRd1aNXnkyn6MHdBWw6dEQkgFLictc1Mhk1LTyc7fw8g+rZl6aS9aNtDwKZFQU4HLCSsuLeeJhauYuTiXJnGxPH3tAEb01vApkXAJ5EuN6wCLgdr+9VOdc/eaWUcqvk6tGbAUuM45VxLKsBI5vs/bSXJaOrnb9nHlwHZMubgnjeJqeR1LpFoJ5BX4QWC4c26vmdUCvjCz94H/BzzmnHvdzJ4GJgBPhTCrRIC9B8t4eEEOL3+9jraN6/LyTYM5u1sLr2OJVEuBfKmxA/b6r9by/3PAcOBX/uWzgKmowKu0z1Zu487ZGWwuPMANpydyx4XdqafhUyKeCei3z8xqUnGYpAvwJLAG2O2cK/OvshFoe4T7TgQmAiQkJJxsXvHA7v0lTJu/nLQfNtK5RT1Sbx3KwA4aPiXitYAK3DlXDvQ3s8bAHKBHoBtwzs0EZgIkJSW5Ewkp3nkvI5975maye38pt53bhduGd9HwKZEIcbzfSr/bzBYBQ4HGZhbjfxXeDtgUioDijYI9xdwzN4sFWVvo3bYhs24aTK82Gj4lEkkC+RRKC6DUX951gV8AM4BFwBVUfBJlPDA3lEElPJxzvLV0Iw/Mz+ZgmY/kET24+ayOxGj4lEjECeQVeDwwy38cvAbwpnNuvpllA6+b2QPAj8DzIcwpYbBh534mz87gi9XbGZzYlOlj+9CphYZPiUSqQD6Fkg6cWsnyXGBwKEJJeJX7HC9/ncfDC1ZQw2DaZb25ZnCChk+JRDh9BqyaW11QxKTUdH5Yv5th3Vvw4Jg+tG1c1+tYIhIAFXg1VVru45nP1vDXhaupV7smj/+yP6P7t9HwKZEoogKvhjI2FnJH6jJythQxqm88Uy/tRfP6tb2OJSLHSQVejRSXlvP4x6t49vNcmtWLZeZ1A7mgV2uvY4nICVKBVxPf5u4gZXYGa7fv46pB7Zk88hQa1dXwKZFopgKv4oqKS5mxIIdXvllP+6Z1efXXQzijS3OvY4lIEKjAq7BFOQXcNSeD/D3FTDizI3+4oBtxsXrIRaoK/TZXQTv3lTBtfjZzftxE15b1Sfuv0xmQ0MTrWCISZCrwKsQ5x7sZ+dw7N4vCA6X87ryu/ObcztSO0fApkapIBV5FbN1TzJS3M/koeyt92zXi1ZuH0KN1Q69jiUgIqcCjnHOON77fwIPvLaekzMddI0/hxjMSNXxKpBpQgUex9Tv2kzI7na/W7GBIx6bMGNuXxOb1vI4lImGiAo9C5T7Hi1+u5ZEPVxBTowZ/GtOHqwa11/ApkWpGBR5lVmwpIjktnZ827GZ4j5Y8OKY38Y00fEqkOlKBR4mSMh//+HQ1Ty5aTYM6tXjiqv5c2k/Dp0SqMxV4FFi2YTeTUtNZsbWI0f3bcM+onjTT8CmRai+Qr1RrD7wMtAIcMNM594SZNQXeABKBPGCcc25X6KJWPwdKynns45U893kuLRvU4bnrkzi/ZyuvY4lIhAjkFXgZ8Afn3A9m1gBYamYfATcAC51z080sBUgBkkMXtXr5es0OUmans27Hfq4enMDkkT1oWEfDp0Tk3wL5SrV8IN9/ucjMlgNtgdHAMP9qs4BPUYGftD3FpTz0Xg6vfbeeDs3ieO3m0xjauZnXsUQkAh3XMXAzS6Ti+zG/BVr5yx1gCxWHWOQkfJy9lbvezmBb0UEmnt2J28/vRt1YnQYvIpULuMDNrD6QBvzeObfn0E8/OOecmbkj3G8iMBEgISHh5NJWUTv2HuS+d7KZt2wzPVo3YOZ1SfRr39jrWCIS4QIqcDOrRUV5v+qcm+1fvNXM4p1z+WYWDxRUdl/n3ExgJkBSUlKlJV9dOeeYt2wzU+dlsfdgGbef343/GtaZ2BidBi8ixxbIp1AMeB5Y7pz7yyE3zQPGA9P9P+eGJGEVlV94gClzMlmYU0D/9o15+Iq+dGvVwOtYIhJFAnkFfgZwHZBhZj/5l91JRXG/aWYTgHXAuNBErFp8Psdr36/nofdyKPc57h7VkxtOT6SmToMXkeMUyKdQvgCO1C7nBTdO1Za3fR8ps9P5JncnZ3RpxkNj+pLQLM7rWCISpXQmZhiUlft44cu1PPrhSmJjajBjbB/GJbXXafAiclJU4CGWs2UPyanpLNtYyC96tuKBy3rTqmEdr2OJSBWgAg+Rg2XlPLloDf9YtJpGdWvx91+dysV94vWqW0SCRgUeAj+s30VyajqrCvYy5tS23DOqJ03qxXodS0SqGBV4EO0vKePRD1fywpdrad2wDi/eMIhze7T0OpaIVFEq8CD5cvV2Umans2HnAa49LYHkET1ooOFTIhJCKvCTVHiglIfeW87r32+gY/N6vDHxNIZ00vApEQk9FfhJ+DBrC1PezmTHvhJuPaczvz+/K3VqafiUiISHCvwEbN97kHvnZfFuej49Wjfg+fGD6NOukdexRKSaUYEfB+ccb/+0ifveyWb/wXL+eEE3bjmnM7VqaviUiISfCjxAm3cf4K45GSxasY0BCRXDp7q01PApEfGOCvwYfD7Hq9+tZ/p7y/E5uPeSnlw/VMOnRMR7KvCjyN22l5S0DL7L28mZXZrz0OV9aN9Uw6dEJDKowCtRVu7j2c/X8tjHK6kTU4OHr+jLlQPb6TR4EYkoKvDDZG/ew6S0ZWRu2sOFvVoxbXRvWmr4lIhEIBW4X3FpOX//ZDVPf7aGxnG1ePJXA7i4b7zXsUREjkgFDixdt5NJqems2baPsQPacfeoU2gcp+FTIhLZAvlOzBeAUUCBc663f1lT4A0gEcgDxjnndoUuZmjsO1jGnz9Ywayv82jTqC6zbhrMOd1aeB1LRCQggZyB8hIw4rBlKcBC51xXYKH/elRZvHIbFzy2mJe+yuP60zrwwe1nq7xFJKoE8p2Yi80s8bDFo4Fh/suzgE+B5CDmCpnC/aVMezeb1KUb6dSiHm/dOpRBiU29jiUictxO9Bh4K+dcvv/yFqDVkVY0s4nARICEhIQT3FxwLMjM5+65WezcV8JvhnXmt+dp+JSIRK+TfhPTOefMzB3l9pnATICkpKQjrhdKBUXF3Ds3i/czt9AzviEv3jCI3m01fEpEotuJFvhWM4t3zuWbWTxQEMxQweKcI+2HTUybn82B0nLuuLA7E8/upOFTIlIlnGiBzwPGA9P9P+cGLVGQbNy1nzvnZLJ45TaSOjRh+ti+dGlZ3+tYIiJBE8jHCF+j4g3L5ma2EbiXiuJ+08wmAOuAcaEMeTx8Psc/v1nHjAU5GHD/6F5cO6QDNTR8SkSqmEA+hXL1EW46L8hZTtrqgr2kpKWzZN0uzu7Wgj+N6U27Jho+JSJVU5U4E7O03MfMxbk88fEq6sbW5NEr+3H5gLYaPiUiVVrUF3jmpkImpaaTnb+HkX1ac9+lvWnRoLbXsUREQi5qC7y4tJwnFq5i5uJcmtaL5elrBzKid2uvY4mIhE1UFvj3eTtJTk0nd/s+rhzYjikX96RRXC2vY4mIhFVUFfjeg2U8vCCHl79eR7smdXllwhDO7Nrc61giIp6ImgL/dEUBd83JZHPhAW48I5E/XtCderWjJr6ISNBFRQNOnp3Ba9+tp0vL+qTeejoDOzTxOpKIiOeiosATm8XxP8O7cNvwLtSO0fApERGIkgK/5ZzOXkcQEYk4muokIhKlVOAiIlFKBS4iEqVU4CIiUUoFLiISpVTgIiJRSgUuIhKlVOAiIlHKnAvfF8Wb2TYqvoLtaJoD28MQ50REarZIzQXKdqKU7cREaraTzdXBOdfi8IVhLfBAmNkS51yS1zkqE6nZIjUXKNuJUrYTE6nZQpVLh1BERKKUClxEJEpFYoHP9DrAUURqtkjNBcp2opTtxERqtpDkirhj4CIiEphIfAUuIiIBUIGLiEQpTwrczEaY2QozW21mKZXcXtvM3vDf/q2ZJYYpV3szW2Rm2WaWZWa/q2SdYWZWaGY/+f/dE45s/m3nmVmGf7tLKrndzOyv/v2WbmYDwpSr+7yUCKAAAASMSURBVCH74ycz22Nmvz9snbDtNzN7wcwKzCzzkGVNzewjM1vl/1np9/KZ2Xj/OqvMbHyYsv3ZzHL8j9kcM2t8hPse9fEPUbapZrbpkMdt5BHue9Tf6RBle+OQXHlm9tMR7huy/Xakzgjb8805F9Z/QE1gDdAJiAWWAT0PW+c3wNP+y1cBb4QpWzwwwH+5AbCykmzDgPnh3m/+becBzY9y+0jgfcCA04BvPXp8t1Bx4oEn+w04GxgAZB6y7GEgxX85BZhRyf2aArn+n038l5uEIdsFQIz/8ozKsgXy+Ico21TgjwE85kf9nQ5FtsNufxS4J9z77UidEa7nmxevwAcDq51zuc65EuB1YPRh64wGZvkvpwLnmZmFOphzLt8594P/chGwHGgb6u0G0WjgZVfhG6CxmcWHOcN5wBrn3LHOuA0Z59xiYOdhiw99Ts0CLqvkrhcCHznndjrndgEfASNCnc0596Fzrsx/9RugXTC3Gagj7LdABPI7HbJs/m4YB7wWzG0G4iidEZbnmxcF3hbYcMj1jfxnSf5rHf8TuxBoFpZ0fv7DNqcC31Zy81AzW2Zm75tZrzDGcsCHZrbUzCZWcnsg+zbUruLIv0he7TeAVs65fP/lLUCrStaJhP13ExV/RVXmWI9/qNzmP7zzwhEOBXi9384CtjrnVh3h9rDst8M6IyzPN72JWQkzqw+kAb93zu057OYfqDg80A/4G/B2GKOd6ZwbAFwE/LeZnR3GbR+TmcUClwJvVXKzl/vt/3AVf79G3OdnzewuoAx49QirePH4PwV0BvoD+VQcqog0V3P0V98h329H64xQPt+8KPBNQPtDrrfzL6t0HTOLARoBO8IRzsxqUfFAvOqcm3347c65Pc65vf7L7wG1zKx5OLI55zb5fxYAc6j40/VQgezbULoI+ME5t/XwG7zcb35bfz6c5P9ZUMk6nu0/M7sBGAVc4/+F/w8BPP5B55zb6pwrd875gGePsE0v91sMcDnwxpHWCfV+O0JnhOX55kWBfw90NbOO/ldsVwHzDltnHvDzO7JXAJ8c6UkdTP5jac8Dy51zfznCOq1/Ph5vZoOp2Ich/4+LmdUzswY/X6bija/Mw1abB1xvFU4DCg/5My4cjvhKyKv9dohDn1PjgbmVrPMBcIGZNfEfKrjAvyykzGwEMAm41Dm3/wjrBPL4hyLboe+hjDnCNgP5nQ6V84Ec59zGym4M9X47SmeE5/kWindmA3jndiQV79auAe7yL7ufiicwQB0q/gxfDXwHdApTrjOp+FMnHfjJ/28kcCtwq3+d24AsKt5p/wY4PUzZOvm3ucy//Z/326HZDHjSv18zgKQwPqb1qCjkRocs82S/UfEfkXyglIrjihOoeA9lIbAK+Bho6l83CXjukPve5H/erQZuDFO21VQcC/35OffzJ7DaAO8d7fEPQ7Z/+p9L6VSUUvzh2fzX/+N3OtTZ/Mtf+vk5dsi6YdtvR+mMsDzfdCq9iEiU0puYIiJRSgUuIhKlVOAiIlFKBS4iEqVU4CIiUUoFLiISpVTgIiJR6v8Do5Vr0gh6ZXgAAAAASUVORK5CYII=\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["# plot fungsi x dengan turunan pertama garis gradient g\n","plt.plot(x,g)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":282},"id":"rzMGo-J0Yqa1","executionInfo":{"status":"ok","timestamp":1653740980497,"user_tz":-480,"elapsed":97,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"68f8e684-b23c-47b2-a587-21997957c709"},"execution_count":39,"outputs":[{"output_type":"execute_result","data":{"text/plain":["[<matplotlib.lines.Line2D at 0x7fa4d71c9150>]"]},"metadata":{},"execution_count":39},{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["plt.pot(x,y) membentuk melengkung atau memliki garis gradient yang tidak lurus, setelah di lakukan penurunan pertama hasil plt.plot(x,g) menjadi lebih lurus dan halus."],"metadata":{"id":"9GrHNdRrdYf4"}},{"cell_type":"markdown","source":["# Optimisasi"],"metadata":{"id":"9zdlKzkDgWoP"}},{"cell_type":"markdown","source":["Optimization on Code//Find Minimum. Secara turunan numerik, tidak menganggap input atau output sebagai simbol namun hasil sampel berupa data/array"],"metadata":{"id":"GJEHM47wgXKW"}},{"cell_type":"code","source":["from scipy.optimize import minimize_scalar\n","\n","def f(x):\n","  return 2*x**2+4*x-1\n","\n","optimisasi =minimize_scalar(f)\n","optimisasi"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"HOhrp0OthnEP","executionInfo":{"status":"ok","timestamp":1653740980497,"user_tz":-480,"elapsed":86,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"479780d6-432a-4904-d694-92b79fa1df35"},"execution_count":40,"outputs":[{"output_type":"execute_result","data":{"text/plain":["     fun: -3.0\n","    nfev: 9\n","     nit: 4\n"," success: True\n","       x: -1.0000000000000002"]},"metadata":{},"execution_count":40}]},{"cell_type":"markdown","source":["nilai optimisasi yang terbaik atau paling tinggi pada fungsi variabel x adalah -1.0000000000000002"],"metadata":{"id":"QmZOFxeBlaFu"}},{"cell_type":"code","source":["optimisasi.x #nilai optimisasi x nya"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"bJjboZBSiuT9","executionInfo":{"status":"ok","timestamp":1653740980498,"user_tz":-480,"elapsed":82,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"ddc5767d-08d8-4264-d3c0-007064ee47b0"},"execution_count":41,"outputs":[{"output_type":"execute_result","data":{"text/plain":["-1.0000000000000002"]},"metadata":{},"execution_count":41}]},{"cell_type":"code","source":["optimisasi.fun"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"hgf7LznwjHuE","executionInfo":{"status":"ok","timestamp":1653740980498,"user_tz":-480,"elapsed":73,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"3c06098b-0172-4534-fc7c-d26e3f8c9a7e"},"execution_count":42,"outputs":[{"output_type":"execute_result","data":{"text/plain":["-3.0"]},"metadata":{},"execution_count":42}]},{"cell_type":"code","source":["optimisasi.nfev"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"58Y-bueHjHon","executionInfo":{"status":"ok","timestamp":1653740980499,"user_tz":-480,"elapsed":64,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"1c6593ab-2d21-4de6-daff-cbde8edca8be"},"execution_count":43,"outputs":[{"output_type":"execute_result","data":{"text/plain":["9"]},"metadata":{},"execution_count":43}]},{"cell_type":"code","source":["optimisasi.nit"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"kRsYBJ1RjYeu","executionInfo":{"status":"ok","timestamp":1653740980499,"user_tz":-480,"elapsed":58,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"05c82df8-8177-41cb-8f42-eeeb82cdea9a"},"execution_count":44,"outputs":[{"output_type":"execute_result","data":{"text/plain":["4"]},"metadata":{},"execution_count":44}]},{"cell_type":"code","source":["# optimisasi \n","import matplotlib.pyplot as plt\n","x = np.linspace(-10,10)\n","y = x**3 - 6*x**2 + 9*x + 1\n","plt.plot(x,y) # terhadap sumbu x dan y"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":282},"id":"GWv_LEicmgmO","executionInfo":{"status":"ok","timestamp":1653740981558,"user_tz":-480,"elapsed":1106,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"366abad5-d0bb-4acb-971e-43cb37990d27"},"execution_count":45,"outputs":[{"output_type":"execute_result","data":{"text/plain":["[<matplotlib.lines.Line2D at 0x7fa4cb8eda10>]"]},"metadata":{},"execution_count":45},{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["x = np.linspace(-10,10)\n","y = x**3 - 6*x**2 + 9*x + 1\n","plt.plot(x,-y) # terhadap sumbu x dan -y"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":282},"id":"m9tnuPF3nUfV","executionInfo":{"status":"ok","timestamp":1653740981560,"user_tz":-480,"elapsed":328,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"b595da8d-616a-4c33-8e5b-a87012d7fa9d"},"execution_count":46,"outputs":[{"output_type":"execute_result","data":{"text/plain":["[<matplotlib.lines.Line2D at 0x7fa4cb867390>]"]},"metadata":{},"execution_count":46},{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"markdown","source":["partial derivative adalah mengukur nilai y yang berubah karena x dan z"],"metadata":{"id":"PjWiIL6EMphi"}},{"cell_type":"code","source":["def f2(x):\n","  return -(x**3 - 6*x**2 + 9*x + 1)\n","\n","optimisasi = minimize_scalar(f2)\n","optimisasi"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"scTOOSAunvtI","executionInfo":{"status":"ok","timestamp":1653740981561,"user_tz":-480,"elapsed":319,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"28d0dc74-2602-4bdc-c0d1-41ec3d95c4c8"},"execution_count":47,"outputs":[{"output_type":"execute_result","data":{"text/plain":["     fun: -5.0\n","    nfev: 13\n","     nit: 9\n"," success: True\n","       x: 0.99999998519"]},"metadata":{},"execution_count":47}]},{"cell_type":"code","source":["print('Global maximum:',minimize_scalar(f2).fun*(-1))\n","# nilai maksimum global itu yang paling besar dari nilai-nilai maksimum lokal"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"R-vXsbP6n_cG","executionInfo":{"status":"ok","timestamp":1653740981562,"user_tz":-480,"elapsed":315,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"ff96e9e8-b622-4f9e-f23d-f9e249ab62de"},"execution_count":48,"outputs":[{"output_type":"stream","name":"stdout","text":["Global maximum: 5.0\n"]}]},{"cell_type":"markdown","source":["# Turunan Parsial / Partial Derivative"],"metadata":{"id":"tLXgjBKRr2n_"}},{"cell_type":"code","source":["# library package yang digunakan\n","import sympy as sy\n","import numpy as np"],"metadata":{"id":"GMzOklzbyR4L","executionInfo":{"status":"ok","timestamp":1653740981562,"user_tz":-480,"elapsed":310,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"execution_count":49,"outputs":[]},{"cell_type":"code","source":["# turunan variabel nya lebih dari satu(misal simbol x nya ada 3, simbol y nya ada 3 dan simbol z nya ada 3)\n","x,y,z = sy.symbols('x y z')\n","f = 3*x*y + x*sy.sin(z) + z**6*y + x**3 + z**6*y\n","f"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"OykC5ZdhyRw1","executionInfo":{"status":"ok","timestamp":1653740981563,"user_tz":-480,"elapsed":307,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"16164492-6297-452d-e969-9d975d959512"},"execution_count":50,"outputs":[{"output_type":"execute_result","data":{"text/plain":["x**3 + 3*x*y + x*sin(z) + 2*y*z**6"],"text/latex":"$\\displaystyle x^{3} + 3 x y + x \\sin{\\left(z \\right)} + 2 y z^{6}$"},"metadata":{},"execution_count":50}]},{"cell_type":"code","source":["# mendefinisikan masing-maisng symbol x, y dan z\n","x = sy.Symbol('x')\n","y = sy.Symbol('y')\n","z = sy.Symbol('z')"],"metadata":{"id":"im6K4K-eyRnr","executionInfo":{"status":"ok","timestamp":1653740981563,"user_tz":-480,"elapsed":306,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"execution_count":51,"outputs":[]},{"cell_type":"markdown","source":["Turunan terhadap simbol X"],"metadata":{"id":"cF3T6oDh1YhP"}},{"cell_type":"code","source":["#Turunan parsial terhadap x\n","sy.diff(f,x)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"U0SK07-XzN8m","executionInfo":{"status":"ok","timestamp":1653740981564,"user_tz":-480,"elapsed":305,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"06c26128-ca55-4d1d-a884-e2934e306d27"},"execution_count":52,"outputs":[{"output_type":"execute_result","data":{"text/plain":["3*x**2 + 3*y + sin(z)"],"text/latex":"$\\displaystyle 3 x^{2} + 3 y + \\sin{\\left(z \\right)}$"},"metadata":{},"execution_count":52}]},{"cell_type":"code","source":["#Turunan parsial kedua terhadap dx x\n","sy.diff(f,x).diff(x)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"mju5biaZzcb6","executionInfo":{"status":"ok","timestamp":1653740981565,"user_tz":-480,"elapsed":305,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"71dcd7fb-1239-40d6-eda3-0883405fec1c"},"execution_count":53,"outputs":[{"output_type":"execute_result","data":{"text/plain":["6*x"],"text/latex":"$\\displaystyle 6 x$"},"metadata":{},"execution_count":53}]},{"cell_type":"code","source":["#Turunan parsial kedua terhadap dx y\n","sy.diff(f,x).diff(y)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":37},"id":"W8hxoGNu1hbi","executionInfo":{"status":"ok","timestamp":1653740981565,"user_tz":-480,"elapsed":303,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"cfad3188-6e49-438d-d730-4617b16aed13"},"execution_count":54,"outputs":[{"output_type":"execute_result","data":{"text/plain":["3"],"text/latex":"$\\displaystyle 3$"},"metadata":{},"execution_count":54}]},{"cell_type":"code","source":["#Turunan parsial kedua terhadap dx z\n","sy.diff(f,x).diff(z)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"eTTL9CHb2A4M","executionInfo":{"status":"ok","timestamp":1653740981567,"user_tz":-480,"elapsed":303,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"67355287-5bd7-42be-c274-a4e7981c42fb"},"execution_count":55,"outputs":[{"output_type":"execute_result","data":{"text/plain":["cos(z)"],"text/latex":"$\\displaystyle \\cos{\\left(z \\right)}$"},"metadata":{},"execution_count":55}]},{"cell_type":"code","source":["#Turunan parsial ketiga terhadap dx dx x\n","sy.diff(f,x).diff(x).diff(x)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":37},"id":"Aq716hfQ0-XS","executionInfo":{"status":"ok","timestamp":1653740981567,"user_tz":-480,"elapsed":301,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"ce44c239-77be-4cc3-848d-69d33b8237ee"},"execution_count":56,"outputs":[{"output_type":"execute_result","data":{"text/plain":["6"],"text/latex":"$\\displaystyle 6$"},"metadata":{},"execution_count":56}]},{"cell_type":"code","source":["#Turunan parsial ketiga terhadap dx dz z\n","sy.diff(f,x).diff(z).diff(z)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"gFiyt_md2HZZ","executionInfo":{"status":"ok","timestamp":1653740981568,"user_tz":-480,"elapsed":301,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"4f11ce62-6e2a-4fbd-c380-8746564d697f"},"execution_count":57,"outputs":[{"output_type":"execute_result","data":{"text/plain":["-sin(z)"],"text/latex":"$\\displaystyle - \\sin{\\left(z \\right)}$"},"metadata":{},"execution_count":57}]},{"cell_type":"markdown","source":["Turunan terhadap simbol Y"],"metadata":{"id":"jKs1o82N1u7R"}},{"cell_type":"code","source":["#Turunan parsial terhadap y\n","sy.diff(f,y)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"8aMuTkSy0Vqq","executionInfo":{"status":"ok","timestamp":1653740981569,"user_tz":-480,"elapsed":301,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"2c7424a9-b5e5-4765-e696-dd1c3c2b9349"},"execution_count":58,"outputs":[{"output_type":"execute_result","data":{"text/plain":["3*x + 2*z**6"],"text/latex":"$\\displaystyle 3 x + 2 z^{6}$"},"metadata":{},"execution_count":58}]},{"cell_type":"code","source":["#Turunan parsial kedua terhadap dy x\n","sy.diff(f,y).diff(x)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":37},"id":"qgkiHPH10WPO","executionInfo":{"status":"ok","timestamp":1653740981571,"user_tz":-480,"elapsed":300,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"584a9b4b-cd61-493e-93be-b47f5f7f9dcb"},"execution_count":59,"outputs":[{"output_type":"execute_result","data":{"text/plain":["3"],"text/latex":"$\\displaystyle 3$"},"metadata":{},"execution_count":59}]},{"cell_type":"code","source":["#Turunan parsial kedua terhadap dy z\n","sy.diff(f,y).diff(z)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"UJKj47V-14jn","executionInfo":{"status":"ok","timestamp":1653740981572,"user_tz":-480,"elapsed":296,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"5cc143d8-d4e3-4d40-d323-3820c5516184"},"execution_count":60,"outputs":[{"output_type":"execute_result","data":{"text/plain":["12*z**5"],"text/latex":"$\\displaystyle 12 z^{5}$"},"metadata":{},"execution_count":60}]},{"cell_type":"code","source":["#Turunan parsial ketiga terhadap dy dz z\n","sy.diff(f,y).diff(z).diff(z)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"rnWn6sC_2p_2","executionInfo":{"status":"ok","timestamp":1653740981582,"user_tz":-480,"elapsed":303,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"339202eb-442c-4a74-e1f0-ad606e8ea79f"},"execution_count":61,"outputs":[{"output_type":"execute_result","data":{"text/plain":["60*z**4"],"text/latex":"$\\displaystyle 60 z^{4}$"},"metadata":{},"execution_count":61}]},{"cell_type":"markdown","source":["Turunan terhadap simbol Z"],"metadata":{"id":"bIOuuO8T2mmD"}},{"cell_type":"code","source":["#Turunan parsial terhadap z\n","sy.diff(f,z)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"g-fhPWgE0vgQ","executionInfo":{"status":"ok","timestamp":1653740981584,"user_tz":-480,"elapsed":302,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"b7712f56-8c9d-4fe8-e522-e6cf661ae3e5"},"execution_count":62,"outputs":[{"output_type":"execute_result","data":{"text/plain":["x*cos(z) + 12*y*z**5"],"text/latex":"$\\displaystyle x \\cos{\\left(z \\right)} + 12 y z^{5}$"},"metadata":{},"execution_count":62}]},{"cell_type":"code","source":["#Turunan parsial kedua terhadap dz x\n","sy.diff(f,z).diff(x)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"8UPpvSnn0x_H","executionInfo":{"status":"ok","timestamp":1653740981585,"user_tz":-480,"elapsed":301,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"1fc0ead5-04f9-4ca2-ef1a-61ddc7f7e79e"},"execution_count":63,"outputs":[{"output_type":"execute_result","data":{"text/plain":["cos(z)"],"text/latex":"$\\displaystyle \\cos{\\left(z \\right)}$"},"metadata":{},"execution_count":63}]},{"cell_type":"code","source":["#Turunan parsial kedua terhadap dz y\n","sy.diff(f,z).diff(y)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"wxsWHzsu3Exb","executionInfo":{"status":"ok","timestamp":1653740981587,"user_tz":-480,"elapsed":299,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"c415224d-3f50-49df-af6a-a74956a5e878"},"execution_count":64,"outputs":[{"output_type":"execute_result","data":{"text/plain":["12*z**5"],"text/latex":"$\\displaystyle 12 z^{5}$"},"metadata":{},"execution_count":64}]},{"cell_type":"code","source":["#Turunan parsial kedua terhadap dz z\n","sy.diff(f,z).diff(z)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"G01-zJPb3ElH","executionInfo":{"status":"ok","timestamp":1653740981589,"user_tz":-480,"elapsed":299,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"341d2dcf-2f37-4261-9153-6d5de5847e0d"},"execution_count":65,"outputs":[{"output_type":"execute_result","data":{"text/plain":["-x*sin(z) + 60*y*z**4"],"text/latex":"$\\displaystyle - x \\sin{\\left(z \\right)} + 60 y z^{4}$"},"metadata":{},"execution_count":65}]},{"cell_type":"code","source":["#Turunan parsial ketiga terhadap dz dz z\n","sy.diff(f,z).diff(z).diff(z)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"s_p6deKW1HLv","executionInfo":{"status":"ok","timestamp":1653740981590,"user_tz":-480,"elapsed":298,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"78b3836c-01fe-4171-b903-ee5f99aa2b5f"},"execution_count":66,"outputs":[{"output_type":"execute_result","data":{"text/plain":["-x*cos(z) + 240*y*z**3"],"text/latex":"$\\displaystyle - x \\cos{\\left(z \\right)} + 240 y z^{3}$"},"metadata":{},"execution_count":66}]},{"cell_type":"markdown","source":["# Gradien"],"metadata":{"id":"_qV_WjkYorkT"}},{"cell_type":"markdown","source":["kemiringan atau gradien suatu garis adalah angka yang menunjukkan arah dan kecuraman garis tersebut"],"metadata":{"id":"SO6wD4Wr4suB"}},{"cell_type":"code","source":["# library package yang digunakan \n","from sympy.tensor.array import derive_by_array\n","gradien = derive_by_array(f, (x,y,z))\n","gradien # nilai gradiennya"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"4c9l1T7N4UC6","executionInfo":{"status":"ok","timestamp":1653740981591,"user_tz":-480,"elapsed":297,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"02f770cb-dd2f-4acc-c794-7ae7de584125"},"execution_count":67,"outputs":[{"output_type":"execute_result","data":{"text/plain":["[3*x**2 + 3*y + sin(z), 3*x + 2*z**6, x*cos(z) + 12*y*z**5]"],"text/latex":"$\\displaystyle \\left[\\begin{matrix}3 x^{2} + 3 y + \\sin{\\left(z \\right)} & 3 x + 2 z^{6} & x \\cos{\\left(z \\right)} + 12 y z^{5}\\end{matrix}\\right]$"},"metadata":{},"execution_count":67}]},{"cell_type":"code","source":["f"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"omyuuWRR5as9","executionInfo":{"status":"ok","timestamp":1653740982377,"user_tz":-480,"elapsed":1081,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"4baea6a6-62af-416f-eec7-f6874376f625"},"execution_count":68,"outputs":[{"output_type":"execute_result","data":{"text/plain":["x**3 + 3*x*y + x*sin(z) + 2*y*z**6"],"text/latex":"$\\displaystyle x^{3} + 3 x y + x \\sin{\\left(z \\right)} + 2 y z^{6}$"},"metadata":{},"execution_count":68}]},{"cell_type":"code","source":["type(gradien)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"soWflWKs5ECb","executionInfo":{"status":"ok","timestamp":1653741018865,"user_tz":-480,"elapsed":8,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"eb532f9a-74d2-4014-930c-f84057fdaafe"},"execution_count":70,"outputs":[{"output_type":"execute_result","data":{"text/plain":["sympy.tensor.array.dense_ndim_array.ImmutableDenseNDimArray"]},"metadata":{},"execution_count":70}]},{"cell_type":"markdown","source":["nilai fungsi awal sebesar x^3+3xy+xsin(z)+2yz^6, memiliki garis gradien sebesar [ 3x^2+3y+sin(z),  3x+2z^6,  xcos(z)+12yz^5 ]"],"metadata":{"id":"7nZZ0lGp5SzZ"}},{"cell_type":"markdown","source":["# Jacobian"],"metadata":{"id":"CqA1nbwIB_8W"}},{"cell_type":"code","source":["# library package yang digunakan\n","import sympy as sy"],"metadata":{"id":"YvGDBoPu5D-P","executionInfo":{"status":"ok","timestamp":1653741026938,"user_tz":-480,"elapsed":355,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"execution_count":71,"outputs":[]},{"cell_type":"code","source":["# membuat matrix jacobian\n","x, y, z= sy.symbols('x y z')\n","f = sy.Matrix([2*x**2+y*2, 2*x*2 - y*2])\n","f"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":58},"id":"vWyx-RZT5D6w","executionInfo":{"status":"ok","timestamp":1653741030547,"user_tz":-480,"elapsed":447,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"7a56ada2-733a-4680-9c1f-1d7cc7098ccb"},"execution_count":72,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Matrix([\n","[2*x**2 + 2*y],\n","[   4*x - 2*y]])"],"text/latex":"$\\displaystyle \\left[\\begin{matrix}2 x^{2} + 2 y\\\\4 x - 2 y\\end{matrix}\\right]$"},"metadata":{},"execution_count":72}]},{"cell_type":"code","source":["# membuat matrix J yang nantinya akan di gunakan untuk turunan parsial\n","J = sy.Matrix([x,y])\n","J"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":58},"id":"_Ev7F31u5D3c","executionInfo":{"status":"ok","timestamp":1653741033630,"user_tz":-480,"elapsed":10,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"31a96936-cfb0-4149-95af-785f9d3d0cd6"},"execution_count":73,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Matrix([\n","[x],\n","[y]])"],"text/latex":"$\\displaystyle \\left[\\begin{matrix}x\\\\y\\end{matrix}\\right]$"},"metadata":{},"execution_count":73}]},{"cell_type":"code","source":["# matriks jacobian fungsi f\n","f.jacobian(J)"],"metadata":{"id":"_B2PGBfnCxZQ","colab":{"base_uri":"https://localhost:8080/","height":58},"executionInfo":{"status":"ok","timestamp":1653741038697,"user_tz":-480,"elapsed":360,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"ba9606f3-f015-4947-aff1-146c69f87ae0"},"execution_count":74,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Matrix([\n","[4*x,  2],\n","[  4, -2]])"],"text/latex":"$\\displaystyle \\left[\\begin{matrix}4 x & 2\\\\4 & -2\\end{matrix}\\right]$"},"metadata":{},"execution_count":74}]},{"cell_type":"markdown","source":["cara lain membuat matriks jacobian"],"metadata":{"id":"RWyb2pK5Dyp0"}},{"cell_type":"code","source":["x, y, z = sy.symbols('x y z')\n","f = sy.Matrix([2*x**2+y*2, 2*x*2 - y*2])"],"metadata":{"id":"VGOmg2MGD3wg","executionInfo":{"status":"ok","timestamp":1653741046472,"user_tz":-480,"elapsed":20,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"execution_count":75,"outputs":[]},{"cell_type":"code","source":["type(f)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"XlJtyXVMFDDw","executionInfo":{"status":"ok","timestamp":1653741048324,"user_tz":-480,"elapsed":31,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"397ff8e6-3041-43e7-b2f0-d0b3e7c0b824"},"execution_count":76,"outputs":[{"output_type":"execute_result","data":{"text/plain":["sympy.matrices.dense.MutableDenseMatrix"]},"metadata":{},"execution_count":76}]},{"cell_type":"code","source":["# hasilnya sama seperti cara sebelumnya\n","JacPar = sy.Matrix([x,y])\n","f.jacobian(JacPar)"],"metadata":{"id":"HI3_VKkNEN0g","colab":{"base_uri":"https://localhost:8080/","height":58},"executionInfo":{"status":"ok","timestamp":1653741051560,"user_tz":-480,"elapsed":12,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"0d104d7b-a91f-48e0-a13b-ea155005cb9b"},"execution_count":77,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Matrix([\n","[4*x,  2],\n","[  4, -2]])"],"text/latex":"$\\displaystyle \\left[\\begin{matrix}4 x & 2\\\\4 & -2\\end{matrix}\\right]$"},"metadata":{},"execution_count":77}]},{"cell_type":"markdown","source":["## Turunan parsial // symbolic // Turunan Pertama"],"metadata":{"id":"oPvCbN6Auxu1"}},{"cell_type":"markdown","source":["cara 1 pake kode id"],"metadata":{"id":"B0_dPoxxvfrZ"}},{"cell_type":"code","source":["import sympy as sy\n","\n","x,y,z = sy.symbols('x y z')\n","j = 4*x*y + x*sy.sin(z) + x**3 + z**8*y\n","j"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"bbYO5Q5MvLut","executionInfo":{"status":"ok","timestamp":1653742626891,"user_tz":-480,"elapsed":345,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"df4f4d5d-8be5-4f2d-e16f-3555dd0acee7"},"execution_count":98,"outputs":[{"output_type":"execute_result","data":{"text/plain":["x**3 + 4*x*y + x*sin(z) + y*z**8"],"text/latex":"$\\displaystyle x^{3} + 4 x y + x \\sin{\\left(z \\right)} + y z^{8}$"},"metadata":{},"execution_count":98}]},{"cell_type":"code","source":["sy.diff(j,x)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"rARNufpbvjxk","executionInfo":{"status":"ok","timestamp":1653742687655,"user_tz":-480,"elapsed":449,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"d3758dd7-b324-4b32-9ccd-6eb7cfc3850c"},"execution_count":99,"outputs":[{"output_type":"execute_result","data":{"text/plain":["3*x**2 + 4*y + sin(z)"],"text/latex":"$\\displaystyle 3 x^{2} + 4 y + \\sin{\\left(z \\right)}$"},"metadata":{},"execution_count":99}]},{"cell_type":"code","source":["sy.diff(j,y)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"3Ls_TUb-vn5y","executionInfo":{"status":"ok","timestamp":1653742690474,"user_tz":-480,"elapsed":342,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"1f8ce9ec-22f9-4a1f-fbd2-138e3c5707ca"},"execution_count":100,"outputs":[{"output_type":"execute_result","data":{"text/plain":["4*x + z**8"],"text/latex":"$\\displaystyle 4 x + z^{8}$"},"metadata":{},"execution_count":100}]},{"cell_type":"code","source":["sy.diff(j,z)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"2xvujFSIvqiZ","executionInfo":{"status":"ok","timestamp":1653742705958,"user_tz":-480,"elapsed":332,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"0a8db266-0d95-47f6-b918-d19ec1a9f440"},"execution_count":102,"outputs":[{"output_type":"execute_result","data":{"text/plain":["x*cos(z) + 8*y*z**7"],"text/latex":"$\\displaystyle x \\cos{\\left(z \\right)} + 8 y z^{7}$"},"metadata":{},"execution_count":102}]},{"cell_type":"markdown","source":["## Turunan Parsial // symbolic // gradient"],"metadata":{"id":"Kj-HaFMlvyoj"}},{"cell_type":"code","source":["j = 4*x*y + x*sy.sin(z) + x**3 + z**8*y\n","j"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"UUCbmyXcF7mR","executionInfo":{"status":"ok","timestamp":1653741403708,"user_tz":-480,"elapsed":354,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"cb3d2c63-0b2c-4765-bc91-c7e6cfd75178"},"execution_count":89,"outputs":[{"output_type":"execute_result","data":{"text/plain":["x**3 + 4*x*y + x*sin(z) + y*z**8"],"text/latex":"$\\displaystyle x^{3} + 4 x y + x \\sin{\\left(z \\right)} + y z^{8}$"},"metadata":{},"execution_count":89}]},{"cell_type":"code","source":["from sympy.tensor.array import derive_by_array\n","grad = derive_by_array(j, (x,y,z))\n","grad"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"1-luUfC5q3XS","executionInfo":{"status":"ok","timestamp":1653741429355,"user_tz":-480,"elapsed":366,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"a27c8d8e-f9fd-49e9-d48a-fe83b9130d65"},"execution_count":90,"outputs":[{"output_type":"execute_result","data":{"text/plain":["[3*x**2 + 4*y + sin(z), 4*x + z**8, x*cos(z) + 8*y*z**7]"],"text/latex":"$\\displaystyle \\left[\\begin{matrix}3 x^{2} + 4 y + \\sin{\\left(z \\right)} & 4 x + z^{8} & x \\cos{\\left(z \\right)} + 8 y z^{7}\\end{matrix}\\right]$"},"metadata":{},"execution_count":90}]},{"cell_type":"code","source":["sy.Matrix(grad)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":78},"id":"WITkN_ewqi-6","executionInfo":{"status":"ok","timestamp":1653741449916,"user_tz":-480,"elapsed":323,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"d3707dc8-8d70-4db0-fd19-9bd246994b2c"},"execution_count":91,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Matrix([\n","[3*x**2 + 4*y + sin(z)],\n","[           4*x + z**8],\n","[  x*cos(z) + 8*y*z**7]])"],"text/latex":"$\\displaystyle \\left[\\begin{matrix}3 x^{2} + 4 y + \\sin{\\left(z \\right)}\\\\4 x + z^{8}\\\\x \\cos{\\left(z \\right)} + 8 y z^{7}\\end{matrix}\\right]$"},"metadata":{},"execution_count":91}]},{"cell_type":"code","source":["type(sy.Matrix(grad))"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"q1TrTCrNrCbB","executionInfo":{"status":"ok","timestamp":1653741478397,"user_tz":-480,"elapsed":349,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"998d8f29-1fd7-4450-bf28-df32272ffed9"},"execution_count":93,"outputs":[{"output_type":"execute_result","data":{"text/plain":["sympy.matrices.dense.MutableDenseMatrix"]},"metadata":{},"execution_count":93}]},{"cell_type":"markdown","source":["#### Melihat partial derivative gradient dengan jacobian"],"metadata":{"id":"O8gCJdIyxfD4"}},{"cell_type":"code","source":["matrix_grad = sy.Matrix(gradien)"],"metadata":{"id":"uUIXvsygGsi9","executionInfo":{"status":"ok","timestamp":1653741100493,"user_tz":-480,"elapsed":433,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"execution_count":82,"outputs":[]},{"cell_type":"code","source":["matrix_grad = sy.Matrix(grad)\n","vars = sy.Matrix([x,y,z])\n","matrix_grad.jacobian(vars)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":78},"id":"AXnZy7eKrLgx","executionInfo":{"status":"ok","timestamp":1653741506907,"user_tz":-480,"elapsed":359,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"8eeca16a-ad51-437b-de5f-93140970992e"},"execution_count":94,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Matrix([\n","[   6*x,      4,                cos(z)],\n","[     4,      0,                8*z**7],\n","[cos(z), 8*z**7, -x*sin(z) + 56*y*z**6]])"],"text/latex":"$\\displaystyle \\left[\\begin{matrix}6 x & 4 & \\cos{\\left(z \\right)}\\\\4 & 0 & 8 z^{7}\\\\\\cos{\\left(z \\right)} & 8 z^{7} & - x \\sin{\\left(z \\right)} + 56 y z^{6}\\end{matrix}\\right]$"},"metadata":{},"execution_count":94}]},{"cell_type":"code","source":["sy.Matrix(grad).jacobian(sy.Matrix([x,y,z]))"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":78},"id":"NVDSUIwUqBEj","executionInfo":{"status":"ok","timestamp":1653741545072,"user_tz":-480,"elapsed":677,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"ea0b2fa7-a106-4359-e504-29bc86a52ee6"},"execution_count":95,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Matrix([\n","[   6*x,      4,                cos(z)],\n","[     4,      0,                8*z**7],\n","[cos(z), 8*z**7, -x*sin(z) + 56*y*z**6]])"],"text/latex":"$\\displaystyle \\left[\\begin{matrix}6 x & 4 & \\cos{\\left(z \\right)}\\\\4 & 0 & 8 z^{7}\\\\\\cos{\\left(z \\right)} & 8 z^{7} & - x \\sin{\\left(z \\right)} + 56 y z^{6}\\end{matrix}\\right]$"},"metadata":{},"execution_count":95}]},{"cell_type":"markdown","source":["# Hessian"],"metadata":{"id":"pvyxIzOrrYRw"}},{"cell_type":"code","source":["j"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"EgAPUpNlrgPT","executionInfo":{"status":"ok","timestamp":1653741606447,"user_tz":-480,"elapsed":408,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"402ed7b8-e0ac-4f02-abdb-fe6e7eef22ff"},"execution_count":96,"outputs":[{"output_type":"execute_result","data":{"text/plain":["x**3 + 4*x*y + x*sin(z) + y*z**8"],"text/latex":"$\\displaystyle x^{3} + 4 x y + x \\sin{\\left(z \\right)} + y z^{8}$"},"metadata":{},"execution_count":96}]},{"cell_type":"code","source":["sy.hessian(j,(x,y,z))"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":78},"id":"6oPspRFprl-T","executionInfo":{"status":"ok","timestamp":1653741623149,"user_tz":-480,"elapsed":373,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"51d8c9fa-6597-49d8-9ff9-25814e1f3b60"},"execution_count":97,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Matrix([\n","[   6*x,      4,                cos(z)],\n","[     4,      0,                8*z**7],\n","[cos(z), 8*z**7, -x*sin(z) + 56*y*z**6]])"],"text/latex":"$\\displaystyle \\left[\\begin{matrix}6 x & 4 & \\cos{\\left(z \\right)}\\\\4 & 0 & 8 z^{7}\\\\\\cos{\\left(z \\right)} & 8 z^{7} & - x \\sin{\\left(z \\right)} + 56 y z^{6}\\end{matrix}\\right]$"},"metadata":{},"execution_count":97}]},{"cell_type":"markdown","source":["soal yang kode id"],"metadata":{"id":"b_HJim9iyAqW"}},{"cell_type":"code","source":["import sympy as sy\n","from sympy.abc import x,y\n","h = sy.Matrix([x*y**2+x**3])\n","h"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"ZK1MtNbeyEFp","executionInfo":{"status":"ok","timestamp":1653743452212,"user_tz":-480,"elapsed":1929,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"471f4cb6-d241-47eb-b3b7-718fc199c242"},"execution_count":1,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Matrix([[x**3 + x*y**2]])"],"text/latex":"$\\displaystyle \\left[\\begin{matrix}x^{3} + x y^{2}\\end{matrix}\\right]$"},"metadata":{},"execution_count":1}]},{"cell_type":"code","source":["sy.hessian(h,(x,y))"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":58},"id":"b-7tyxiMyo-e","executionInfo":{"status":"ok","timestamp":1653743470889,"user_tz":-480,"elapsed":334,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"27a94395-d83a-4e11-cd96-36cfce5c86c0"},"execution_count":2,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Matrix([\n","[6*x, 2*y],\n","[2*y, 2*x]])"],"text/latex":"$\\displaystyle \\left[\\begin{matrix}6 x & 2 y\\\\2 y & 2 x\\end{matrix}\\right]$"},"metadata":{},"execution_count":2}]},{"cell_type":"markdown","source":["# Turunan Parsial Numerik"],"metadata":{"id":"WLACH8TI1IzD"}},{"cell_type":"code","source":["# pake kode id\n","import numpy as np\n","\n","def f(x,y): \n","  return x**2*y+2*x**3*y+y**5\n","\n","x=np.linspace(1,10) #Membuat batasan 1 sampai 10\n","y=np.linspace(1,10)\n","\n","z=np.array( [[f(i,j) for i in x] for j in y] )\n","\n","dx,dy=np.gradient(z)"],"metadata":{"id":"JHb4zQ5V1EbT","executionInfo":{"status":"ok","timestamp":1653744356637,"user_tz":-480,"elapsed":1297,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"execution_count":5,"outputs":[]},{"cell_type":"code","source":["z"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"2g7Bs-0j2YCl","executionInfo":{"status":"ok","timestamp":1653744439079,"user_tz":-480,"elapsed":329,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"a975548b-560d-4dac-ad0d-3b75d660d0fc"},"execution_count":6,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[4.00000000e+00, 5.71793215e+00, 7.98252429e+00, ...,\n","        1.88137733e+03, 1.98916795e+03, 2.10100000e+03],\n","       [5.87461078e+00, 7.90808149e+00, 1.05886191e+01, ...,\n","        2.22807634e+03, 2.35566524e+03, 2.48803788e+03],\n","       [8.88166350e+00, 1.12306728e+01, 1.43271559e+01, ...,\n","        2.57590780e+03, 2.72329498e+03, 2.87620819e+03],\n","       ...,\n","       [8.29623214e+04, 8.29788696e+04, 8.30006836e+04, ...,\n","        1.01046446e+05, 1.02084755e+05, 1.03161995e+05],\n","       [9.11769952e+04, 9.11938590e+04, 9.12160890e+04, ...,\n","        1.09605944e+05, 1.10664052e+05, 1.11761832e+05],\n","       [1.00030000e+05, 1.00047179e+05, 1.00069825e+05, ...,\n","        1.18803773e+05, 1.19881679e+05, 1.21000000e+05]])"]},"metadata":{},"execution_count":6}]},{"cell_type":"code","source":["z = []\n","\n","for i in x:\n","  tmp = []\n","  for j in y:\n","    tmp.append(f(i,j))\n","  z.append(tmp)\n","z = np.array(z)\n","z"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"IM__LQEC2dot","executionInfo":{"status":"ok","timestamp":1653744465811,"user_tz":-480,"elapsed":316,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"d35f4586-b00b-410b-ad8d-4287d861913a"},"execution_count":7,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[4.00000000e+00, 5.87461078e+00, 8.88166350e+00, ...,\n","        8.29623214e+04, 9.11769952e+04, 1.00030000e+05],\n","       [5.71793215e+00, 7.90808149e+00, 1.12306728e+01, ...,\n","        8.29788696e+04, 9.11938590e+04, 1.00047179e+05],\n","       [7.98252429e+00, 1.05886191e+01, 1.43271559e+01, ...,\n","        8.30006836e+04, 9.12160890e+04, 1.00069825e+05],\n","       ...,\n","       [1.88137733e+03, 2.22807634e+03, 2.57590780e+03, ...,\n","        1.01046446e+05, 1.09605944e+05, 1.18803773e+05],\n","       [1.98916795e+03, 2.35566524e+03, 2.72329498e+03, ...,\n","        1.02084755e+05, 1.10664052e+05, 1.19881679e+05],\n","       [2.10100000e+03, 2.48803788e+03, 2.87620819e+03, ...,\n","        1.03161995e+05, 1.11761832e+05, 1.21000000e+05]])"]},"metadata":{},"execution_count":7}]},{"cell_type":"code","source":["z.shape"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"vZcpvjyd2g6M","executionInfo":{"status":"ok","timestamp":1653744479134,"user_tz":-480,"elapsed":359,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"eb8fe830-1375-4163-91c1-aaf23b37cd10"},"execution_count":8,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(50, 50)"]},"metadata":{},"execution_count":8}]},{"cell_type":"code","source":["dx # turunan pertama x"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"IexOWMdK2jQi","executionInfo":{"status":"ok","timestamp":1653744485890,"user_tz":-480,"elapsed":320,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"712197a3-8262-4815-bc04-5647fd8d3225"},"execution_count":9,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[1.87461078e+00, 2.19014934e+00, 2.60609483e+00, ...,\n","        3.46699018e+02, 3.66497295e+02, 3.87037876e+02],\n","       [2.44083175e+00, 2.75637031e+00, 3.17231580e+00, ...,\n","        3.47265239e+02, 3.67063516e+02, 3.87604097e+02],\n","       [3.87727397e+00, 4.19281253e+00, 4.60875803e+00, ...,\n","        3.48701681e+02, 3.68499958e+02, 3.89040539e+02],\n","       ...,\n","       [7.91308899e+03, 7.91340453e+03, 7.91382048e+03, ...,\n","        8.25791340e+03, 8.27771168e+03, 8.29825226e+03],\n","       [8.53383931e+03, 8.53415485e+03, 8.53457080e+03, ...,\n","        8.87866372e+03, 8.89846200e+03, 8.91900258e+03],\n","       [8.85300476e+03, 8.85332030e+03, 8.85373624e+03, ...,\n","        9.19782916e+03, 9.21762744e+03, 9.23816802e+03]])"]},"metadata":{},"execution_count":9}]},{"cell_type":"code","source":["dy # turunan pertama y"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"3TbkcpC2264P","executionInfo":{"status":"ok","timestamp":1653744599838,"user_tz":-480,"elapsed":334,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"b3515433-b598-4065-df17-8e2a1ca2088f"},"execution_count":10,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[   1.71793215,    1.99126214,    2.57510051, ...,  105.80708718,\n","         109.81133711,  111.83205127],\n","       [   2.03347071,    2.35700417,    3.04807816, ...,  125.24104197,\n","         129.98076638,  132.37263212],\n","       [   2.34900927,    2.7227462 ,    3.5210558 , ...,  144.67499676,\n","         150.15019564,  152.91321296],\n","       ...,\n","       [  16.54824442,   19.18113739,   24.80504982, ..., 1019.20296225,\n","        1057.7745126 , 1077.23935102],\n","       [  16.86378298,   19.54687942,   25.27802746, ..., 1038.63691704,\n","        1077.94394186, 1097.77993187],\n","       [  17.17932154,   19.91262144,   25.75100511, ..., 1058.07087183,\n","        1098.11337113, 1118.32051271]])"]},"metadata":{},"execution_count":10}]},{"cell_type":"code","source":["#Plot z,dx,dy divisualisasikan atau yang dianggap sebagai sebuah gambar\n","\n","import matplotlib.pyplot as plt\n","fig, ax = plt.subplots(ncols=3,figsize=(17,5))\n","ax[0].imshow(z)\n","ax[0].set_title('f(x,y)') #Visualisasi yang dianggap gambar pada fungsi awal\n","ax[1].imshow(dx)\n","ax[1].set_title('dx') #Visualisasi yang dianggap gambar fungsi turunan pertama dx\n","ax[2].imshow(dy)\n","ax[2].set_title('dy') #Visualisasi yang dianggap gambar fungsi turunan pertama dy"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":353},"id":"W-SkT9T_3IBM","executionInfo":{"status":"ok","timestamp":1653744885866,"user_tz":-480,"elapsed":1443,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"bb29231b-5782-4115-c9bd-343a17b80fbf"},"execution_count":12,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 1.0, 'dy')"]},"metadata":{},"execution_count":12},{"output_type":"display_data","data":{"text/plain":["<Figure size 1224x360 with 3 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":[""],"metadata":{"id":"za_ZazuH6MjM"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["import matplotlib.pyplot as plt\n","gambar = plt.imread('/content/g.jpg')\n","P = gambar[:,:,0]"],"metadata":{"id":"8b_Z2HjG4c38","executionInfo":{"status":"ok","timestamp":1653745621773,"user_tz":-480,"elapsed":520,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"execution_count":3,"outputs":[]},{"cell_type":"code","source":["plt.imshow(P)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":286},"id":"ZQE7PfG25x7o","executionInfo":{"status":"ok","timestamp":1653745624712,"user_tz":-480,"elapsed":1308,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"8d319027-fe69-4a3f-9a6e-9ce00cd3dfbd"},"execution_count":4,"outputs":[{"output_type":"execute_result","data":{"text/plain":["<matplotlib.image.AxesImage at 0x7f64850a3cd0>"]},"metadata":{},"execution_count":4},{"output_type":"display_data","data":{"text/plain":["<Figure size 432x288 with 1 Axes>"],"image/png":"iVBORw0KGgoAAAANSUhEUgAAAQEAAAD8CAYAAAB3lxGOAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nOy9eaxlSZ7X9/lFxFnu9rZ8+XKrrKrO6qqu6qV6gaahp4dmmsHCwLixZGyPJaMRkvGi8SZbskGWZQlZlixjNEKyJRBe8CrLgxkEM7KxDcP0YJreqveq6tqyMrNyfevdzhKL/4g45973KrNmhqaYkiZDerr3nXuWOBHx27+/X0gIgcftcXvcfuc29dvdgcftcXvcfnvbYybwuD1uv8PbYybwuD1uv8PbYybwuD1uv8PbYybwuD1uv8PbYybwuD1uv8Pb+8YEROQPi8grIvKaiPyH79dzHrfH7XH78Zq8HzgBEdHAq8AfAm4CXwN+NoTwg3/sD3vcHrfH7cdq75cm8HuA10IIb4QQGuB/Bb78Pj3rcXvcHrcfo5n36b5XgBtr/98EPveokzd2TNi7kj/0NyEgvJe2cvrXgPyGZ8raWUrCu85Zf2IIq7P7Y+n/TByFhHg8xM8A+PS7T/eRtWeuf29Rp+4ZlbLVNVr8I98lpGtW73R6JGzQeCT1IZ6n8WiJvfNr167e/d3j0H2efW7X1/4Z4fRMCQEl8Znd+3XnzX2BD7L2DqDEo9I1ikAmDo9gxPXPVukdcnEoEVTqjwuBBk0bNIXYOPZBcCgcCh8kzYlgg8IFhQ0K61cyUItHSzg15mdXnvUa61XfbwL96IcA3nczvLpKuqGTgFG+H7sQ0poK3VgCXjg9JWf+76fhIfSgu+PSLUIIAj5d5qG+ffNBCOH82UvfLybwGzYR+dPAnwY4dznnP/rFT/4j3UefIWIXOgKME5ytLaJuQXZNiaeUdu1eHhfUqesnaokLihaNC6o/7oJiS88ZSYNDqEJGFTLaYGiCpg2GTCx5en4pLZlYNIFSWpR4brTncB3DCIom6P7+c1/ww/nlR773nWrCg+UYAEkLTBEQCT1j80Fin4OgJFBoy9A05MqxW8z6MVGyItju2qFqqINhvxlz0Aw5agYc1yWNNdRW0zQmLuQAkohJ0thnuUVrj1bxfi4I3ivaVuOdYgwEJwSnCCESihiPNg6lAk2VYTKH94qibMiNY1Q07AwWKAJD07CTLziXzxjrCh8UU1eydBnXFzssbE7tDIs2o2oyGquxVhO8YG4PkAB4QRxIAHH0dCUBCEK/rAKIJxKTB+VWxwnd+fGz2QBvwopYBYKi/z/xp3hcOMt1V+0hNO6zgC8DQQfQAUxAjEfpOOf9JYmpBC/gE4NxgpoZ3vq3//3rD1tL7xcTuAVcXfv/iXSsbyGEvwT8JYAnP74Rpn7wyJu1QT/yt9pnVD7r/++kcEfMt6tN2qDwYSUROgngg3BvMXnXPV0imqo1HDyYpBljxV3TiOuRpRw0eC84p3BO4a0iuDgBNEnSCHGVKEAFUAERCMu19worIur+f88mELqV2qsYof8uWZLAvluBAVEB0fEzOInnSWQiInEli0AI4KxeSbGuS4lgvZN4PZw+R8X7RIkYx6P731mNs2q1ML1AqxAn4OLr2tT3oAJ2BMWw5fxkzlaxpDQtubJYr1ES8AgLl9P6qAEsXc7SZRjlyZXDeYXu3iv1PSTi9gZC5uJ8eFC1Qi8F1Qqq5RRx98OdmIVKhNwRcZAk+yX9nuZQHjJ/qlldEzQ9kwgq3b+Nnz2DWGMWnYIStOALDzqgdMBkFmM83gvWKrzTBKsIrVqt199gPb1fTOBrwLMi8iEi8f+LwL/0qJPvHW3yC7/0xx7+o4Ar3uMNwmqA4v+rVSkhLigA8Uk1WufsIXHqR9wXoDNSJBFT/6wAbmBYFgXiQaygHWStIDae5w2nJjOY0EuGwJl+p3f9Tb83iWmsLxa1YgIdAzq1GDtNUQJiZdUvlRhUx6jWxyCpqOLi+IUgYJI0UiE+1/jIXCQgCoqixSi/RoCCS4w3AFuDitYrqiZKattGBhFc7JAuLRvjJU9uHvGRjbvsZlMAFq5gvx0xtwUuCHMXP5cuY9YWzNuCWZvTOk3VGprG0NYGX2uwkSjKY0UwAZ/pSHwedC2oGnRzen57ZtAdirwtjRn9WHVWgDhW2sXaGuvuYwer5dkpqGeNVwmnnxHSvKhWULUQTMDVGjdQuFbhck1jfNScguCtEKyAkzjH3fMdj2zvCxMIIVgR+Xng/yRaK/9NCOH7jzxfg508wv4NoKpH+y/Fx3NODeYpJ4Gsfvdpkrz0k5Mfr07r77d2M7fmqugnt+tXKxglkQn4KCXERpVRXKAdC0GvSY1WVhKgIz5YEe66FAigq7NL5PRrdYulJ14vK9XTnX6v1Vit3r2TukFJvJcOq8/MgxXECdIIqpH0foIdBtxGEokdk1VRw1ASqOuMRgIqaQZae4zyGB3Ng73hNC7YoaJyJkpzp2mcxgch047SxPvfWGzzQI8ptMUF4fZyk3vzcf9OPkQ/Q2M1ziuqKsO3SRJahTSCbiJBSCBK+lbQS/p5i2tiRcCn1lAACeH0mhLimHWEesYV0K+TsHY94PVqfs5qGRDX2vp8dcwjCFFjaTvNLiBB8I3G5wp0oM11ZMxpXZB5wpoQcctHa9Pvm08ghPDLwC//Zs6VFso7j+7kI6U1a4PNGamXvveWxCmbb/V93dLo1LR+4Lv7c+bademgiYTjk1pnwCe7slfj1JrkX1MhewnOGlGn40iyLx/54qvPnhGsq5Gm+y30C1RctIODB7OU9ExBVGfLCkhAnBCSmAsqEIpAyATXdWezZWtzEX0RyfbXyS+RacfBYpAcXoJSnkFmGWQtg6TSKwnkyjHQLYW2vXu0DQrrNcdtiQ/C0LRUzjCzBUubMWtyFnXOYlEQeqmnIrOyClxU7Y3tpHJ8X9Wu5k7XSW1vQ2Rq/rT6ve4fWJ9/CWBLsIMzjLkb23UNotMUujVIWgupD50WcYqBrD0rsGJMQUCSzRV0d99os638GXHxBBPA+KTVEbUf12nAjxYov22OwfUmIapiD21niO5dP5szTOLMudlsbaLhFPFAnNiHPfJs/9aldG+Kh9M2Yq++dfdJUh8Bn7j0qb52BAu9BO7NBSFy9kc1SRK760i/kNN3L6f9D4FoK7oo3dus60/oJYfo6GwSAaV8JDQf7f/QLagAWeYYFg0CGLVyAHaOyfOjeXQIeoVHyJRjaBqGpqFQDiU+MgBlGaoGLZ7KZ9TeMHcFvhEqF/08D5Zj5k3GfFnQLHJCrZBKIw500k7UugmWpfnxpwm4Z/yd1F9j6LJGuGfnuLPXQ2Louu7My9U9OkHUCxRZrYf4PTIBO1n93t1jvXVa5ylhtibkut96xp5aXDfRRJPco0xc8K7SSK2iGfEegvQDwQTO2iynVNj3smckSrUzUZl3ndPb5t291eoZp3yOj2CW4az2sNbPntCht9+6heTzNEHrjKcjPA3Syil1vifI7kH+ER3q7tX7AE4zAekYi0ThjqRgX7faIUoN0j1MQDKPqKi6iwrRCUiSQiqsTBcvZLllktfx8rRilQR8etGtfAlwKgyXK4eWQKEsG2ZJphyK6OCb2QFH7ZC5zWm8Zmha5m3B3XrC/aMxtjGERkGr0HNFdqJ6Qu/fW4HXYJaJMYc1SdoRdKchOXBKoFidJ0nNCaabTE5J9aBWa6Uz+8SH+IzO/5vMie48CdEE8InKlk+2qzCgimaumUZzxRWBdtPHqEVnpljp/QzRpFkTIp0plwdC7kEF9DD6UjbKGpHArC6YLgra2sCD4pFL6YPDBNa54pqKdEoTOMVdWali4fTgnLrPGQYiIR7rb/8QK+SUkz4R+SlToOuPAlcGgo5qZtCR4cgaY5LOC++7RUFUr1VSv7vWqWy9T0JOvfeqb2F1rGd8ayudyLS66MD6i0seIE/H5wZpoj0ZsjhIvtEELZjC4t3awAhRukB08jnFwXKIVp5MxeMuCK3TOC8c6GEMWUpAJ2995TKUBPYlcG3sGNKQKYcLiqXLqb3GKIeSwFEziCG+Oid4Rag1slTRi1+vSeBO4q//Txzjbk30WmBY8VXdBIIW2kk8V9eRyDoBIW5F5MEIdgTtOODz+Fs2lahhNuCN4LM498pGTcEnRmKWAVtCvRN/+8kXX+FBNWac1fzk9mv8cHGJX/nai+SHGv+hJV+89jr79YijasCyzVjUGctpCccZzIgSXYMrIhMPGpi0PHXpgJ1yzuXBCdcG99kxM+62m7w8v8hb0x1mdcGD6SqCdrZ9MJiAxMk4e6zjxOs2eh93lTViDacJ9zTRnFGvzj7mrJaxzoBYxYVPxXXXnqsbwZsQnY0+HgwSFxEmnqNCZA4ujx0xC4WuBDvo1Lo1jeBM//tnd4/u7cMAWlaqYbLnO8YS/Hu8NIAJhA5J0lGHE4LTMVTXhfI6xpTizgSoW8WBjaE6SRpC8BELEDxrYUl6h2HsYqREdSmwXSzYzJZoPLU3WK9pvMZ6zb35mKo1LBcFdmmQSqErhWpB2dW9eyJnjSd262VNkq87+XwOzkf12OXgO3+HW62VlT0vK8EDfcSn3g60YzBzwSxXAiwI+CwyBdK5dgj1eYuMLc+P7jLZuE6hWkpp+NjoFvnnLPeqCSPT8DM73+Ifzp/hVrHFTjbnYnHMvWaDlw6f4Mb+FtX+gOwwRjXc2KGGlr1zUz53/i0u5UdAxJsc2DFKPM8M77OTzTmxA75qfxscg7+l1qlpXVtTvWFNK163tdL/rKnnZ+/Z3eu9yMEs4SzTWL++n+A+XLOyHSUAFlQiYmVBFIQ8qvr4EL26TlKMON5UHODBdMSfXjaInHr22Xc5raEIPguRKfSa0cosCO/lT0j3FJ+YSKPiu6XYf2i6GBX94Hchwg7/4Bca35kwQoq8REYRY+3ShxDX/5DAG+UOG+WIveF05fxrCyqbUVnDwdE4eviT/a8riRpA8vCfVfH7Y93YdEMmSStac7gFFRmB15EB2EGAYTjNMDr/jInHxcboCKR1GsCZqAW2rcT+VZBPQWwg5IIbxfk2VXRWlhdqtHgysVw0R+TiOMeMT5XXmfoBP6iucMduMdEVzwzvU6iWiarICkdxznJtMuabw6vsu+0Y/is8eWkZ5U30qxAi+E1VTPSSXBx32k3eqbe4tdhko6wfuRQ+EEwgSLLbO5VujXOvf3bEv47CWlcD3+X8O/P7w9ojY/XykPO6heIjPbscfB56dTC00THlBh4timwmKzCIj2AR1dLbr7RrFoHIaW3jTB9WEYUkecPaQaE3L/p7uPdWgTrcA4qI0ll/b6ff5ZDqBrcPpTm19lzejcCDGEZ711gK07tjFuOSRZMxzFtcEBZ1TtManFW44wxx0VZWjaBriUCazlR6hFB7GHOI/YjvIum7NyumHkwgJPDNqb4KqDwiGAPJVKrig/VGw+ZkwShvmVYFx0dDOMpZXg6oSpHNonAJOv7lRwq72OAbF54E4PduvcnvHr7BkRty5IeU0nI5O2Tfjdk1U7R4mmBihEQ1fLi8y6X8COs1X7Oa+bSMQCHjaJ3mR/M9fnrnB5TScuIHXG92mbmSw3bI0mVs5BXj7APOBIDTbBxO2XmP9GzKqUseScDvJRPP+gTWkWCc/Q6npLGdBNoNF8EzJsRQVe4xZYutMoLKI2GQCCNRvEphK1e++1mnntER/EPe66Fm0Xp7L84H+NKvznGCBIkE3fkx1iVjp2V0zw0p1HiGEQucuq7vwhlGa44MrlUcWWGWJ5BLoyPIxSpUFZGEqk0OsbbDXrAWJjstME75BU4xrzO/r4UEO8xISI5RAigTcI3qtaK8aCmyGAISCUyKht3BjElW44JwVA7ZHc+xlxXLNqM0lpOq4PDWJoN3DGYen9tueoz4GBIVz4Ebc6OJsPGn8wecNydk4th3Y47tECWeiaoAmLoBbdA8N7rL5GrF2/NtDushA9OyUywY6Jb7dsKmXuKD0PoUVnU5A92ym8/elSNzaj7ec6X8E2zrnLsHW3SLZ02g9Orf+sXvJT3Dmd/PtIeFCOGM6q+jxAum4+5RzfXbLdvnZv0iAdjIawpjWdqM6V7B0WxAfTBATzVBotag2khEbrBG5OsmT3ezM8zvFHNYJ/510NApzeDR742ElZOwVQQCUkQRHhq96kSHGEyIy95jvoZ+BAg+4gukwzqsaXF9N9LjlAXfCH5uaGsdtYi2AzHJaeBOWgvdX+dkPRvLX2c4cua31QDS4zZwEYzl85T4k0KhPgSoNWIl5l7kFrLIAHaHCy6PjpnbnOMmLhwjjs3cpshIdIhe3jjh2vY+r1/e5eT1LfzQ89Of/j5/cOsHTPSSDMc7dpsDOwLgntqg0TqFSTMWPqfyGYcSf3dBcWJLbNAMVMP5ctbDozeyyChenl1iK1twLptTqpbtbIFRvo/O3FpuPXIpfDCYwBlJ+KhzHirxOm3hXQbhGenwiObPRE5O2ehpkXsT7UdfeigcunAY7dndnPH81j0mWcXSZYx1zblsjicm7mTiuF7t8J3JZe7e3SIcZXHhpTCiz1cq6NkwIrAKywGPYnTx2rA2huka/RswgQC6cOS5JQShzFsuTKaUOjKwJqH46rWEIWs13ir8wqAqtWI0yUTqbPCQh1PPoSPu9F3VnWkh0KH5Os1CIqMVzyr8u36vtfj/wyT/KQwAZ35LpkonHMQlPL9N4CgnhDqG7lQrOKCtDQsio2isYWkzMu0otKXUMfmschlLm+G8Yt7k1K3hyuYxX3ziNd7aOsfSZnx4eI8tvaCUln03pgmGJ/IDjt2QQzsiF8vUDXAIikDtDUuXY5RjqBqWLufGfItSW3Jt03MNjR9hJEZi7jdjjtphwmC0OBRLl7F0GQO9SpQ72z4YTIDTdn5ESRFj6Ws2Xo+06iRzsrU79bUn+jWPv26inW6HAVdGKb6+MIp9tZL2KeziM3ClJ5iAXkQxGwQoHOOtJRuDikx59oZTnhwcMNQ1PiiGqmGoatoQPecXzREXsmM+MrzLa7t7/J23nqW9PsI00QZX7Sos1Yd85DThBxNieCEkLHjn5Mo9ZCGqrZ39fxaIlBiiZBHHH4KgjaccNFzZPGanWLBbzNgwFbvZlKfzB5TS9lmQc59z7EYc2BGHdsi0LZm7nB8d7HJwfwNaOQVVpiVK9DapM50PJzGnjsjVPJkfbWIGibh75u1WdrvXAbLoWxHd2fFnF0+n2oOS6NKAFPqr0hj4kO4rqLXnZDMB0dhhzNDrIjexKRw5dWGSuSAcSYx0GO0oM9uHRQdJG+xyFm6fbGCU59LgmEJZblQ7bJs5PsSM06FqOG9OGKm6ZwoLnyfnXsumWfbYCyWBnXxOoexagpzQeIMLgpbAxFTU3tB4w4ktKFQcJJuS5+x7FA/6wDABSIulA990CygdX1fJvUnELB1aLJxRHVfio2MAdtuixxalfAxldebwfIArAm6wchCpgWU0qhnkLfMqp1rmhFaRlZZB3lKaOPkmTZgmUKoGJb5nAKU0nNMzSmn5XeV1vjB6hZO25NcfPIdZaJQVnAmoBOMVDb50SOER7WOYLcRc+5Ak5vq4oECMB0NE87XS27G9kysRqEjMHlQENiYLPrR1wB87/x0mqmJLz9lSS0qJ4J025d8X4qiDZh4yjvyQqRtw4gcsfM5uPuf75UXuHk9YnpRQqyTNJTlAV178Hh7b2fKyrt6v2T5rvgRTQTuKmlLQ4LJ1hp/mvI3eeZ9H80I1Mfff5iFGZKygm+h3US24IkUtzjxLL4ne/1ZwZSA7jteFlIuhWoXPFXbiCLmjqjLaWY7Uukfp4QU1aikGLct7wxguvrBgfzlEEbg8PKb1mnvtRqyVoCxt0LzTblOFjGM7pPYmIih1HetUqJY2aFqv0eIZqobdbErrDXUwVD7D+lgvAWDTLKl8xtSWzGzO3OYoCWTKMTI10/YRdi8fICZwVmVfV49dEVaZVUlidskutkix7g42mfKstfYoHcXmILdMyhoBlq2JmWspblo/0WAGlsmwZlzWZMpTmpaNvGK3mPNUuc/tZpN3lptULiNXMSc/E89uMaNQa/UIiExhqGq21IJMHHt6xqZq8cDv3nyLb55/gvZkgq7Sewn4wqMmLRfOTbk8PmY7j1Jgvx5y3AyYNzmtU4QEyGkag7M6qsskc0AlXVxHgl9HOSIRBlwUlgvjGU8ND3g+v00mjqHYviZDGxRtULHGQaCvdTCSBnSsvzBSNXoYMMrxqtnjzXCOqhlEwm9lZZGElTISpXwqUCIxqiIhquKd+r6C2QbsUAg69DBgu2kxkzYqF8YhKmBbzeZkyShvuHs8odofREZkBVVFOHG9FTAL6aHE9QaYOStHs+qYCpgExjGLFMFJzMq10UTAa6zOwAr5oUYvIsNrN7qxg+Uso7xjEA9LPeC+VSybDBsUO8Wc75xcYTtfMNZ1BEUllKRHyJVlJ19waIf4IMxtkVKjHWPTMNI1hVr5njJxZDqBvIIwswVt0L1mYIGFzbChxHrFRl49kvY+MEzgXd7oNXWyT+rowlkh9FIuDAIysJjcUZQtG4OKzaJip1gwMquwiPWau9WERbNB28RQFIAuHXnRMiwahllLphzjrGa3mHMhP+GF8hYfKW8zHxfMkwPhnJ5x0RxRhYw7dos2aJpgYlEOIqFsqIqRxOSY++m6a/k9nj53wMu3R4hX+IljuLPgmd19ro0fcCk/5kJ2zEVzzJZacMtuM/Vl/9w2aA7tiHeqLfbrIYf1kP35MCbUrCH68IIyHsnBZJYiMcGdwYKPTO7y/CAyAE2E7a6bR5l4dBCqpHPrGChnIj4yg9SPTBxb+ZLJsKKa5YSl6h23rFkIeBAVP7sqQj3hJ59CSEb6Ct69YvRu4Mk2ay5uTymMZdFmZMrz7OZ9XhzfZFPPOXBj3lie5061wffuXKKuMigswQm108itsq8T0GX/xYUVP2L+Qfyu29DDc6PPIDoPY+q1QddgFqvEJIhaj16aHjkKkB9obDXgcJgznQ0YDqNmeUttxjF0GusURWbZLpds5UtePr4QEZRtxrzOsV6RG8vWoOLCYNoXgskkIivbELMufVCc2LhGtATaBLzqBEjdGk6KD7omcDasA6fw/cpJVJklLY6OAQDiFL7NaIs4IEZ5hlmLTxxxJ5sDcL8ZM29z5suC9iSPkFkgbLY0dcaRV8yznMI42oFmO1+gxfNGs8fl7JAr5rDv2kRVXNYN0xAdgIsQGUTHhV1QNGjmwVCK48CNOfElUzeIzqSJpS0UL3z4Fp/ausnvn7zCjp5RhYyFLxiqmlIsz+d3U9UizcIXVCGjyTW/Z+SpfM6+G3O72eJH8z1ePz7H/tGYtjLghMGkYXu05PL4mIvlCXv5lL3shCez/fQssxr71DrACUCTgvE5jkwcJRYknpNJDOvZoLBuFU7zecSy60XM6Ft30vae+d7pySprktAX7OiiEPV5h9ppGA/r6IPRjkWbsWwyJuMZHxo8YKKXTP2ATByfGV9HjT3Pje+hxbNwOXv5Ccd2yK1ntvjKG88QbpeYRVw4ar1/IRK/amN2YeyfoBw4H9N2xUM4Se+pwY1Cr0n4lPijallzOAqSgz4xhKlmWhbMNptY26BRMTSZecykpRplHOYDZlWBtZqmNviliQy08MyHBX5bMMqRJSegD7GOwsLmVC5Weeog2hCdhvMmZ7osqOuM+fLh5fvgg8IE4FQiRu8P6CCppzzmsC68VCvRvrYx1XUaYuWgRZtxPxtzvhzgEY7qAQ9mI5ppjp7piAAL0BqDFbBABUwzz3RS9CqZDYoPj+7z4fIu581JJJTgOfCOKpUDU8QyZW4tF6ANmgM35rI55LyecuJL3qzPU7mM3fMnbJYVf/ziS2yoJZlYqpCR48jVAiWeJlHIRLWMxJLj2fdCKS07ekEVNOf0jOfyO3x8cJMfji/z0vgJ3jzaYbYoGZUNT0yO+PjkHZ7ID9jRs+SjiPZo9zkPeSyN5nMckojcspFi1E5874aITGJVN1BJTCVWhcM3qi9iEZ2vpzWMdWbQFYJaz+fv6hVAxOkzsexszRhmyQNvDbOqiGnI2vURmDZoZq6kzFqeL26zoSsqnzFUNXfsFp8s3+at4jzqWuAr+hptO4rRiQp0YgTKBVQD2TKga4/PViAviKaJCoKRiNtvJwG76ZGNqBldOn/MxdEJt2ab3H19l/GbOpp7ZdQadCW0k4CblWTNWg7AUOGWmmNTcCwgm03M9EzZf+LAO6Eh52RQMCuKPiejcZqFzZk2BcsmQySQG9fncrReMa9z6jrD1RqvH51G+I/MBETkKvBXgQtxKPlLIYRfEJH/BPhXgPvp1D+bags8+l5robw+R6APeSWnUn8yp6IIqk5ctwXfGPxSMysyZvkQ0YHrxQ6iQiz/tTDoY4OZJxioACq5kn3HiDTtieGNacGN0RbeK14Z7XFp4yoXBlN2sjl7+ZRdM8URF+FI1UxUxUjVlNL2ElUlYtlRDXNzzGuq4dp4n09t3WQ7m/N0dp+pH0S4qFpyxRxxQXcqdzSlhwKlKCbKMvHHTH12SjMA2NJzvjB6lRfKd3hl8xJvLne5W024Uh6xl50wVHW6Z5zufTfmojmmQVOFjLkvaEP0NOfiEmItOqRUYkaeQEucp7kvqH30j+wOo6Z1qEfYWYaa6ZhEpcMqZn+2KhMJMFVL7xdAInPwWcBueEKA/YMxD7wgOqBNjO2VgwZFoPIZWjxbeoEmUIWMt+0ObTBcNEeMkmP29WaPkar51OQGn/j4TX5h/tPITJMf6pjw00bfhKkC2cxhlg47iIlU0ZmpYkJQWpw+6xyWAaWidjrKGr6w8xrn96b84ugzfLt9huEtRXYiqwgFQpbGIPq24jFpIWgBBW1mesyEajoEpsIpWFQFx4MBhbbkasUEnY9/1sVKTV0hF+8VTaP7UnddYdOHtR9HE7DAvxdC+KaITIBviMjfTr/9hRDCf/FbuVmf9CFrB2TNQdi1M3HfLjykffLqLoSg1JqnMY+L0sR6C6aKpaS6pjpPcIhmh7hYbspVGT436EqYmfsdFRwAACAASURBVAEvDzb5YeFRqa7gsGi5MJ5ybfyAi/kJTxUP2JI5E1WR43EIW1kVnW0I59SSjw9u8Mnhdc6pOffchKvmmJZp743PxdMGWASNQ/hIpjn2DXcctGg0AYew8AWZWM7reW8uHLkhmVg+PrjBZ4Zv8d3qCZ7KH/B09qCv0bilakqJ6v2RG/bmB0Sn5kRHJjZSNVM/iM7BoGIl3rWBz8QyMjVzl2OUZ7OsoqPLDKhVEePtKaQZnKxSbtPkZvM4B2aRsu6ymNFnRwE7camqkSLMo2njC08YrjQ3JZ6ly/jh8jKZOJ4s9tlQS96s9/hwcRcXFKWyFOIgv8frzR5X832uZQ/4q7uf40iPcJUimwsSAroNZAuPWTjMrIGQ441ERqAEl0laK/E9qt1osvhWoXPHcV0yVA2vVRf4fTtvcO+FCQ9OLpKfpIw/Fd+1Cz93JohqU0LTMGJQ1DzOU+dvUJa+XmM9zFiMswhKMrGOQ6ZcqtjkWFYZwas+SSt4hfeCt8nmat8HTSCEcBu4nb5PReSHxFLjv/V7yWpwopd4jQF0WuWaOtlDQYmhIAkpfdTF8BICLkt2nIke4XYcYrpoCldVe478KNpmqon39EXADqE4iDng+Tw5DwXMXBO0xo40i3HGIvfMq1jPzm8oLueHkYBSSVmFxO8SvextUGzpRa+Ca/F9zBegDpppyGJYKBgcwtS3OEb4Ndx0Z7N3DMGHqMJv6UV/nhLPJ8qbKDxVyNB4MnG95z9Pxz0KJR4fYqjpyA37asddFeYu0rEhkXMe+QFbesGnh9c5Kobcbre430y4V40jZLZsODocEWpNMMTaBp7oN0ihy2waJaSZh5TWG/Ecygrt0mBH/rT51wjYDATazFO5jNvVJjv5gq1swQ8Wl9F47jdjhqrhcgZTP6AKGffthFJans4fcMdO+PJT3+Xvj67x5u2rFPsBUweyRYi+AAFfGIIWlAtIFe1rl8f14E1cU9k0xrJdFjCjhumy4CtHH+aZ4QOeLe7y5Se+zX/11i66MmSzaBZ4A+04EnZQEaQWUohbVfR1DPQyAaeyFEWBKMkbxXRZskhFXLQKOB9NX2s1topaoco8KkUNgpOIfmxlVT/iIe0fi09ARJ4GPg18FfgJ4OdF5E8CXydqC4ePvpqV2q/Cu4/zkPBh+i0AzbYHD9k0FZAs4kCaZeeBpvc621Gg3bF9pMGfr3B3BmQnCjsMZPMYefBZ1AbacSxB1fnQuswztVSoY82yFe5llsJYLhbHEfwhLQ5hHnLaNW96F27riKuUlmrtuE/OxMpH4nRJ3Vtves1x0mkA/W+95y1+30q+BYA8lRLvpLmWwJ6eUoWMfTemCpqpH/QlxzWekzDobf8NVcUwo6z8BSNVU6o2ljIXixFHqS0nRQxJVVWGrQ2h0dEJmyr/4IX8OEQmUHl0G2scqoQaNHPB5yrWXTCsYUTiHNYU3B5tsBjkEQhDdJC1XjNrC/72gxf4Y3vf4ScGr/ON6iqltEx9yf+2/zn+6e1v8069yZf2XuHVP3DEr4VPsPWK0A6jyh6UIM5D0LhCI5mKDMHGGgGqDXgtfbkyqRTVtEDljqNmyIe273Gn3WTmSr782W/yt44+22uX7SSGE2MSmWDLgJt4gg7ouSLf1/g8xFqbClSqftxrwj5WeRIRVBCcB+fVav+C5FD1IgSvY3m3RveZn+9roVERGQO/CPw7IYQTEfmvgT9HJLU/B/x54E895Lp+3wGzud0ff1cmHay0gZS6uirXnNI9s0A9cqhFTDsNOuCL5KRSEaPv84CfWMqNmid3DnlidMTHxu/wF6d/kJ/54lf52oOnuH79POiA3VCocYt5u1xlAbo1r6+Vvv77osq5Nx9zY7DNh4u7oGPl0iM35IBYEDNCiC2ltGyoiqFqKcVx5PNeelchi5Id1dvjeo2ou6bWDOt1yd859bpWiiVL56o14u/aZbPkwFmO/JAq5NTJWzdUNR7NsYtJLFXIUCkFNsOlDT2kf6cNtYQMMmXZMBVH7ZBSt9yYbsVohY+RHazGzIRsLgz2HcoGxCUzQWI1XVNJX5Cjk7wuIwHEOi1OcZRPWGzktF4xawuGpmFhc5xX1M7w1eNrPJffQUvgcnZILo5fffAcfyN8ui9ptlvM+OKXvsP/vfcC21/PsANDcRzQE41eesRHwvd5lP66IQmImB5sU0ERZho/EO7Nxxy7EbebTa4Uh3xscJOvf+pJ9v/BRXQVNV2xcd26MuCGHsYtWWGxQ0M9MphjHZGgucdjVnTwrk1JTrcuxEpQhCbhR4Ks0rvflWxzuv1YTEBEMiID+J9CCH8tdijcXfv9LwN/8+EdX+07UF65Gvp88/7i1dfObg+KqJunODJBQHsk8zH5YxCzQ7IThVnE4g925GM4ZruBpYHvTyh+6j6f2bjOn5i8zF/UX+LJ4oA3B+ewVxUPTkbY/TGDizPGnzmhsZGrHh2OYJpFIEobtVMU2EYzXRbcr8YcjYdJ9ddJFd2g9lkE5aiac2bGBhWlOIYSOFiT6uvtYcQPpxlAF6rrWrb2W3lqw5U1BrJ2rwwYKsuWWlCpVeLKgR33m454hIFqmOUllc8YqajZVMlsccmM6HwOpWoZ6IaL5QknTcmBGkVzQMcQYHEoTG448hOb0ISywvE3UTsI6VgwgssFncVPl0W0aDYT/H1DY4X7AZbDjPOjOfM2J9OOjaLim3ef4MnB83xu9DpN0Hw03+dLu6/wP77xWf65p1/ib939OD9z8Ttcyo+4dW2TV/ILjF4aEBRkc0XZBoIHV6qVAPABl0tvy5u5YEcJEeWEB0dj/mbxCb609woXzTG/Nn2Of+HqN/iFg5+CV4f9ngPiUrShFdzCYIHRRkW+bTmQTdRSw1zjhx439kirIvNQxH0FvOCU6su5O6f6PSICQJtyMfyaFnFWwz7TfpzogAB/BfhhCOG/XDt+KfkLAP5Z4Hu/uRuuGfprYI4gUeXvEIJ9TbxUCw8XnYCSBZhrggm015bU8xSHUoGPPneTl7/+FD/5he/zznyT7730NH/kD32X7zYbfO75N/jFW58G4M7+Ji9evcnzz97lf/na51iOc/75F77JG4tdfugVcxNw0wyxOqpqS41vFBVwdzHh7foc580Uh3C92e3hoJk4tlN211zlbIZYI0v1kjq1YNAJu3/aXo8D4tbVf/GUicAzibsP6aTyZxKjC2eZy3pCXcQ4CBNV4YzQBM2xG/BOvcVRM2BmC6xXGOU5KEYcFwM2TawduPA5i1QVs0tRtV5R+4w2KA6bIYs2j/nuZKiZYXBXMX7HM7zX4E3CaKwxgXggINajfHKIhe48CCJ4ooMtUpOmlZITp9Eq4EPsS1eO/H4zwY2EqR9www754uhlvn7uKf7yr3+Ra8/e4VfufZyNrCJXjs9euw7X4Bu/9hE23oz2hwR6E8D4aLJ4I6ciWOLAlwG1UDhjePP+DsOLDdebXQplmbqSf+PFv8dfXHyJ4lasJ+7KCEbKjmOSUiuwUAULCqR0qGODWUicv5En5D5GDwLYKovrXkcXawhRywpO9eaAhBV8W4D1+pqPaj+OJvATwL8MfFdEXkrH/izwsyLyKSJjegv4V3/Td1zrbBdmlhAHrAeXdGsjJRChI+ZfihR7UXEDDCQgA8dkY8n5csarTyz4+v/+CWbPtvzRz3+L/+Htz3FpdMKd+QZ/8ql/wJae8x/c+BO89N1rPPG5Iz79/Fs8M37AleKQv3f3w8xmZcToS9wOSmy024IWvBiOFwPeWOwmu9lxv4mlZdugeoBHxOpn1EFTBt9L7LYTN9DH6R2q9w8AvQre/y+qh426IJQJwONSql2T7GX3CD2wTfdZ1yimruReNea4GeCDUNsYNqytYekyJqYmU46ZzZm1Rb99WQdesV5Fp93JRr8dXFhoJtcVW69Z8sMGcQFf6hVyLxGV+AApiiA++WJU6B1pPcBHgddCNhWCaGyAIxlSDhoGmeVkUfLc+fscNEP+3+OP8vnJa0z9AKdqfu7CV/jq5Gne+s5l9KUlO5tzrm3u89HJbV6d7/GFP/A9/sEzT+NeHzN5E/Jp6EFF2cyhrKIZq+jlz1MqcqbITxTVQFEUlv/nwfP9himtN3y4uMOXP/0SvxQ+zfY3DbOr0TdVHApmJthxrKVArUAH3MiDV5hZrKlgJ6kghY+bioSgkJC2HvMSid/FEGMUmoE+QwpWHPb9MAdCCF/h4TzmN7XXwCPbGbMgQEySWT8l0NdTD3mIvoADgyuSyvjKgO2bgQe/Rxjstvzd7z4PrZB//pg/88Lf4a1qN1ayGRjufvsCv5h9hvODGX/0xe/y9ftX+bVbzzApI777s+M3KIxlPK5YVhl2NljlvgM+2XCZdjROc2LLfjNNiHBlL4qZK1j4iCycq4ws+DVHXWIGSVZ3JsVRGAL0YTyg1xIapWnRZKmSqhZ/CqOQn6nk4ZBTmsGWaqiCpkFx4MbctZsctQMWNmfZZoyyhgqwTjNrc7TyEZEpnpO2ZNYUvUoKUSpZH6sLd7sK2ZOc0duGrdcsw+snkQEM816yRV9m6Cv9QjQDfNwbrV/YKepFt3kMRHhuNhOCUVidEcqYWzAoksniDN8/vsSzg7tcKQ95vd3j+fw2/+ln/zr/+Sv/FMevbTM6f8iVwRG/9PaLaOV5bvsef+qFv89fn3ySe+oCkzeE8ijNUeVjrsAwRjYiziTlGtRgTjTtOc3Ld/fYLhYctQOuDR7wRrPHz2x9i5vPb/Had55D2YAjMgJVC3qmsCYgY0uYGYLxuBEoqzBzQbzGm7QPYUa/bVynMcs6vcRoYqwfmcbrLET6Ye0Dgxh8Fx5grfO2PIMk6n4KUNyPNeibTU95P3r5/cdm7F/LyMqWu2/txJTb3DMsGv78d34agB984b/jP9v/KOe/GPHY9+sxX33raXh7gN2xHC+3uDE5x83pFvcPJpzbjtVZTpohuk6ZjFkgDDzluGFntGAzryiU7f9O7OAUNr9K+ybGzUstE9XSBtU77tQa13biaYNJkQXV5yd0u+02KZNMJ499l8nYMZb16MApkyJpAEOpAceBG3LPbvCgnTBtS5xXUZvRDm1Duj5uI2a9irapV7TdJqRpLlwQbMLDl3nL0bSgvG2YvO0p9muktqAV0qySYFTre8kfmb9ESO4g3tvrpGnpLkKwqp8vtoulC75eZYVulDW3ppu8uPsOSgJfOXqWq3v7QAxvvlHv8YXLb/AVrvHGW3ss2ozff+k1bleb3F1scHuxyTObD8g/7Xg7v4T8QBg+CNihxhXxbaNVFJhfjlGkoCA/Epa3RwyvTvneg0tcmRwztwWf23yTby+f4mcv/EP+zOevIG8MKR8o6h2Py0NMZT7R+FFLyELMjVEx8zU/EfLD6Jysun0hkjnQ002ag25vSNRqc9K+QtQ6/uYhTcJ75Bn/k2rllavh6s//u6cgwZIcMKoWsgW0w/ib+Bjzd4MQiTDleQPgYfyGIZgI0qiuNozPLVjMC+R2TCLZfA0WF4TFtZbinYz8k4c8d+4+/8z5l/jDo+v8a2/+cb7/qx/GPbMkT7vrfvlD3+WvvfZJXrz0Dt+7e4nFSYnKHcEJ5bDh3HiBD8KL595hYqpY2cXMWbiCjw5u9clALgjPF7dpg+ZHzUWOXJT0nQkw0TG195yKKLw7brPfzTgTRyltH+7LiDiDfT/gwI2pfMZELzmn5mwmNFQdNCehoPJZrzWUqiXH8avz56MD02cxmy1t6Nk4TeMNSkLvExiahpFuaEP0xvug+sIWjTNM24KTqmRe5TSNYTBoWLy1wc53hMmNBpTQjmKVXF2HSPSwwgJ0xVLT/NtCRQ2h44lKTkULXCm4MlbytaMQd+xNKD5MoNiq2BhVOC+UmeXq5Ii9YooPin/9/N/lyBf8X9NP8H+8+SLTe2MwAVNaRPm4K/IiZ7S55KntQ954cA7/gwnFQcSTmGXsl88ifkBcoDgJFMcOPNz/VMbiuZprV+8zb3I+c/4mLwxv8/nhj/hu/QS//OATfO/OJapZQag0eh59A936jb6IWKcy5AFpBTOP+xMEA/Wug4ntdxsWEzCFxTa633ptPXu0A91N9mZ8/8t/7hshhN99lv4+GJrAGV8AEgEm3kQbxxekaEAkbiTghy6CT3SguJEzvA2Hn7LMX6xQ93PyQ4UsNO2tLbZvBPY/37L16xkPfp9l61sZCyvknzxken/MS69t8h37LH/hpnD8vGPvd93n3mvnkCstIQj/87c/C0c5X7v5HOzWcdfeaYYaWhbHA9rGsLc95VsPrvTY9soazg0W3BlvkInjdrVJoS23R9tcyI55p9lm4fNoe3vT1yHIxDHUsYLsR8rbsdJMqlLUBt3b0RU67bSsKKVlqGPm4qaqmSjP1KsUNoyhxjaZEW0KPz6VP+ghw5tmQe0zpi7G+E/sgLdn25wfzLgyOCITx9JFZpFrh/WdD0BzVA84WAxYpq3BkIB9aYudG4HJrRZdOdzQPFItDfJuEaVcDGmtrI2upPtKpMXNOVKVohQKCyra1M5GjQRiLL1xmjrtAHLLbnDfbbBt5ry4d5v/b/oh9M0SVxjCbkNYGKR0zA6H/OB4wOb2nL2fuMHt6YTqm9tsvAn1tmAHCZy2FJoJ1BsG3UA2h/J6wY3BFue3ZixdxlvVOTZ1RJN+auMmJ03J6815bKtwYwcnhmwmVBcsqlGxuGqlCG30e7kiROzLAvyxosXAyKEKF7cmVwFlAj6EWGp+TSsgizsStd/c5lHtg8EEkqbfMQBvQg8jVlaQOnLcZjNJfoH8XlxY5oUT1CeW5K9s8MJ/fJ1wYQe7HWhHhmpHY5YOVwijV3OOnw1MXs6w47ho/ttP/vf8ib/xb+GLgK6E+ROBwTuavU/MmL+9hzzpWb6yBRdr/uDv/S4v3b/CssmYHw4g94wmFW0bh/DuwQbuQUEofXROLjV3J5bXhrtALFNlcsc7u5tcHh3jUgroernt2uke/FEay62dLca6Zjubc8Ecs2emnNdThmI59gX7fhSlu7TpL1aeqQMsgqEKJpkUp6fZobhojiOoKeUNxCSiDIdi4XPO59O05XfGkR/0VWyMeCyKw3rItC6wLmoLIQjqesnGG7D5Ro1ZRFCUzzReSy/Zz2oB3fd1XFTEzK/FtoOk7dOlry8Yd+VJkrNJG70mc8GWmmWWk2cWHzwLmzO3BZly/MPFM2zqJVezA7Itx3cnl6ibAboS6iyLdRdTEZZgFbN5yahouLZ9QPNTx9z+XRsc35lQ3s7IEiy42RB8AYM7AdUEzFyoTgpmZcvc5rggvKov8UQeq1A9NT7gYHPIASPc0kQMSw5mqhMWYlWFKeRxzbcOVKNSFqTCOsGPQQYOZ/XKcbJWNVlyh8482jiardM+ovX2wWACXUsMAAU+xTZ9HgibUaWRViAL6FFLeanG//1tLv15w1s/M8Q+K5SHTyEuYOYWn2DDzViRLTznv9Vw/Y8Y6h1ozjkuPrXPz730c0iAyatx8IvjqFq+9UvXUAHqb29DGQi15qX7V9gZLNAjz2y04HgZN828uHXCg9mIepHBVgtWRSfl2KP3M9rDrI81NwPPddnmYJnMAOVprKaxhrbVuBTqERXLSRf6AqOs5lyx4DAfcZwfc2SGfdpxFTJGqibHJZTiyufQwYqBFfIw4ahdUOTJwzZSNW1w6FShpPLx2i5XHYiMoBlS27hcDqsByybDKM98UeBvDtl4HTbejhEA1VhCpvGFxg5SXYKlR7XRFLCjGOrszID1+Y/dDGeKiUZNQLm4e1AHEw8GfCax9HsWNUfVCL7WtLlBKU9uJO5mZDOGBl6eXeTZ0T2u5vuMVM2Htg/49tUR5l6GmSra3VjVKRu0UEA7LXjn4Dy3hjts7065unXER3bvcedDG1x/e5fBWznFEXACxx8JqEYo78Pk5YzZbJO385a90Ywbs22e2xyzdNGP8+TGYdytqZ4QSkczBH2se3Rk3AUpRVi04MtAuxHQdSrB7gVXZ7ihThuRhl7176S/NjGMLgLFk7NHkt0HhwmolU0YK9mGVQA993GDjLFFVGBjvGQ2LwnnAm/9m/DU3k3u/MrV3uvcbOUJ7y0szwtuqlAOzn9DaDYEVRu2P7Lk7t0tspnQpp2uTRW5elBQ7Xn0UrDblmzS9Orl0MRMwGuD+9xto6r/vfwyw72GK4Mj/tYbH6N9MFmhtTxxglKYq1nkHFpN8ILW0eMenPQ1EpQOKOXJMseF4QmFchSpHNXddoMDOyITx0RX7JgZbXDMAULO1A3Yd2MWPmdTLymlIU8JQxCxA13rMgU752PlYzLRwudMXcky+QiO25L9asSsLjDacW6wwHlhdndM/kCz8RZsvtmQ7y8JRuFGGU5nBJOy70LMD4hOwK4D+pQZcGofif5g0gYgFiNJioFuQTc++gmyVC06rHwKyoKqFC7XUCZGm9Juc+3IleVmtY1HuJQd8fvP/QiP8D1zGX2nQE81bjPQLjPoak5kkaEfTbeZnh9QlC2XNk/4yY+9yt0PbfDq65cY/ygjP1K4QaDeDWQnQrGvuP/yLidPluxtzDhO0ZeuOtWVjRNCEBZVHrP/dgJ1leNPMsyhjsAoI7g64SlsqrmYBL+uYxQhqJh9GUyKVpUr52EI0LaaPLc8qn1wmIAH1jDi6/A2mSVbuITBuOZkOsTNDRe/HSj/Ts5yfJmr37+P3Rpy+PyQBz/ZYu5nEaV2lLzMCooTx/ySobpsefWbT1IeKnweWDzTgFW0L9bY/ZKgAsObhsW1hmtP36N1mkw7bhxusTuJTrtrg/u8MHgHFxSb52I669SVXNk+5uCFhqOjEXbg3gX5DC4ixQixqETnl1UmTlxRtJR5y0ZZs2FqBrqhUJZSxQqyHUEPVU2WkpXaFCk4ckNmruTYDgCoJaNQMStQ9+FHFfcNDAaH6pGCx3bAzBVMbUnt4rK4OdviaFlilKfILI3VvHZvF/v2iHOvCBvXW4p3ooRxGwU+1xEKHEBaT+peyvaMgJu4dVon8k+bAd1x6RCha9uZdeaicgFl01ZvnYYr9Km/qo0Zit5Jv7GLD6s8jIFuubvc4LgtyTYcHyru8+LmLY4uDPj/qXuzWMuyNL/rt4Y9nPFOMeYUkVlDVtbQ1a7uqnJTbbeHti3ZxhYIWghLINsCIcEDggdsHgDhFz8Y8QZYWAILATJItLGx1fLQttzusntQd1V1ZWdlVmVkZMZ4b9zhzHtca/Hwrb3PuTcjCgtXW+kthW7cc+7ZZ5991vetb/h///8jvU+YpbL2nJKZh7gp+UzerN1YvFN8WB/wJJ0yziveeOOYyZsV3/nW65hKevs+0aQzzeS+Zt1MePq6kH4MbEPpElZNxjip+OL1JzzZ7PF4NmWU14SgKDKDy7XwNUaFI11JobwdSucgWKF4163MyphK4U3Ap0J86jz4ZDuI1ap/CWTIYJvWXO1XhDSgqoix36QY6/G54+xLFlMmjB4H/JePCAo2txSH1xecqwnD72d4Izfu4jOG4bGc+cYvGy7egvK6x1wvYZ1A5ghBMbi9kgrxkcW0hkfne/zpt/4pPzf9Te61e/zK+tN8d/kSx80UrTyPqgPGpuKsGZHplq8cPmA5zamuW86qEafFiHmRUxYprtFbTv+o/AvE1k8gTVuGWcM0L5kkFZW3Qjmt6l6WahgHd1Ller6CLufveAOGuua8HVGphHG8uWm0yNInNMHKjEAQPMK8HTBrh8zqQY8BWFYpVZPgvaLFMJ8PUU9zxh8p9j5oyc4q0Ao3zQTl13ip7aRadm4voX/QMhDUqxHtVq53vv9LjqHDwMbKYNDdWC99y1V14KG6cxBSWHJRNLQrjiklEumNk/TmuJgytDVt0Ly3vsFFM+QoWfNjh48Z2IbHoynrRU5oJczWlUaXCj8IMGoFtDNPcY1iPfCU04RqVLJOUn7sxz/g3sUhy4shrAz1VAw1WSjUtybcez0nmVSMhxWpdZRtwjQrGdmaW3tLytaSWEeTt7R70GQGXShModAxGjI1sdsiw2wogbHrGnRQUIArDW6gaccONWrRice534FR4h/p0S2MzrPH8eCuDqBLCfecthLepAF0YPIB5DNPmynOvqDgs2vqeUb7rSP0ROii6qkU/XQLF58PpBeKwWnLWWZIloqGXIpO3nDwmQXPHu7zZ3/ql/ji4CF/5dHv4bXRBRuf8h/e+znGScWd4Tl/4tq3eDU5I1GOb/IZNi4jUY6fGN3nu8Ur/ONHr/P7XvkBX5l+yDvrl3h7dosTryhdehn0FEemtZXwP08bRmnNJKmYpgVTWzAw292/DAmNsyy9Z6IL9s0GYDts5MGYEhcUx81UioQxx0cTx5RNf66uI7BoB5xWI+bVgFWTUre2L1AW85zB/ZTrH3jy83a7s4wspvHowsnkXd/mU/hMgw9oF/CJjkw9wgqtXXiuEvSl5aC6Joj8x3dU4zFK9L2TkfqBaQAl3ADtaFs89F6wCyBMO/NqwLzK+dLRExLteGd2kxMz4etH97kzOKXyFo/i3joTBB9dairnC6URroNxK7DmWuMvMmaLFDVoOT7eIx023H3llLODIXVtKYZD9EaTzhSDDxOaieXiRsJwWrIk49lyxEv7C97aO6YJmg9XhzwKe6wbTTC6j3DaUcDlonmoK7BK4Qbxc5qA0sKn0WkpqBCnMTONTl2P4Hze8clwAjH8V0Fuui5kzt+NPXYlPWJTKlQQWE2oZQrr/CsOMiecbQPH0S+MuP5LT9l85hqzzyRU+wjKaiOY81d+0UmIpCF/pqn2Azc+c8rpO9cwheL0dIKdWU7qCX/+3X+N69MVp3bEosm5Oz7n145fY14NeC07x6H5sLrGRGhj0CrwoDnkWT3mj995m6Gp+Vz2mMon3F8fYo3Hpo4W8IVFbQxhEqSAYzzDvOJwWHB7OGc/KThINrioZTAxczglmAAAIABJREFU5SXgTzeUtPHuEpBo5XKWLu9bjyA7/5wBiXZkqo2imI53i+u0wXBeD3lWjDlfD6kaKwMpThNOctILzeHTwOi4JTtr0I0DLyGnT4Wyyk3TfhCo10IECfvjKLAIsMaOj95OCj53KQQJ+WX37wBD8lPgs3Hy0Mi66F/nZCgnWcrcPgqKRU5TW/anG5ZlxuPHh9y8NeO757fIjCOPMl7zdoAmcGdwJuy/txSPsz3KswF2ZnpeCm8DKL0txGnBqvQOQkG9SXjoDrCJw1qPurHBOUX9ksGfp6hGYc4SipUljFuyUc3JcsysGPDyZI7VnhuTFYukZb7KaWxKMJEOTwWaiRQ/7UaRnasoYiOFUVtIcVT5CLDzoFaWptHw4ubAJ8QJwA70iR4d2NEs6VrYV8xG0FR4mZRqpw61siinyD5KGJy3hGFGO9LoOjA4kcWSn3tsFUjn0raavzFgcCyh2sn3r5FspMVjnmS0+46/+Z0vowrDo8ry8OkBoTJgAyZznN074H/eDHnz8BkjW5Nox77dcDud8+XBhwx1zb3iOk0w/J3Fl3h/dY2zYihIPB0wiUOZgM81xgS0cVIHSFpGtibTrt/9h7qOzLLyDVYRcVgFYdfJVc3SD5i3QzY+FQwAHoPntJ5SuK0mfcdBryNP4Pfn13vizrY1OKeEmGJpSeZasPMrTzZ3JIsaXbSoEKT4itmKw5otA8/HWn1+W+mWP5Y46GP8ELs4EQ0u1f2MSI8YjLMjulH9ebZvtE0n7CbIXIE1+ETTjhVLm0mgogNnszFKBbTxZGlLOZR7lA1lxPhGvuQw3bCXFvwgucZSjbEzK7qIZazKpwGfCRMymXAsGuto5hkUBreUdmrvJFKPThzpzY2w/TgjTD9BWsdd9vP++ZEwMqmA1Z7JqMQPaqrGUiwz1CIRGvY00CSBtlXYQmFXck/TWaDek+8hWSkO3gvMX9e4TFO+/i+DIClAiLxzsTWiWraqQDZgJBYUaHAeUI0UX6b3AoffnaNajxtlJEvH0XHN8k5GunQMjkuBpGYGXTs2tyWPWr1ZM/1u2jPG2k1g9KuK468ltGOPX1tUo2PbRzoMLoPz4ZTfai2vH57zx298hy9kD/mVzaf5qyff4HOjYzLd8ncffY7zixEmcRxON+wNCxZFjmsTaf8NK4oywVqP1R6jhMu/O1yEEwuz79ayjPLoEHhS7/PAH5LplkRLB6ADFDXBsGwzNm0aIb6mh/52YeHpfEzwCtdqfGExS8PgVDM4CeQzTzZr0bVHVy3K+di3D71GYOgnAbdFuW4qcPfoiF1U2IJYlH+BDHtMJ9p8q668K1wSVJRSfwEGtkMkposYDhtFUykqctTAERotJMjRhzSVpWkNjdfU3nCQFrySX3DWjBjahk8fnnIx2vD4fI/m6ZDBsYyou0zhBrIRuVbhW4VPDHrY4ltNqCSX15WGDRLWa0s1TDDTmuuHC8ZpTdVa5kVOVVvKMsE1WzCYb7WMTySiGLV/uMYfKJrWUEfyUCoRRnG5YvSR6lWQTQVZAfu/+pj9XwWU4uLrt/noBWb3iXACygkrq8slR26HvicQ8YkWfHbMi3waRCwyE56A4VPJM8++PMWWgcFJg8svY89dbmUs1AXqvRS7gs3tQDqpWXwJBvdTyk9VHP2jFIJUW7NTQ3FTM/lAIKrNFFQZb/JFwiqMeKA9v2g/x3xvwJ4peCWf8bA64LwWHICvDL4xzE0gSVra1qCNJ01FyagoUryPgiLOsIwil23QjEzN1BZUsejXeMPKZb0oRR0Nu2t7ZdpdShlS7cDWrJqMxhmKfteX+XN3kYko50YzuFAMjwODsxZTuC2ePwRCYghGiyNwHtXKe/RGuuMAvOFSSiDnQP55JUCWS0WRzri3r5PQX57b7Qp0h0QKO9FEPH83WhK06sVEUMQNxdKOjIzVH7XgtPBP1IYyKM6DfAcX2ZBn5Vhg0raWtCwtGNiG0/GIZ5M97EkiCsltrNq3GtcoAfzk8TOmHm+9GHIVEYA1mMrgNjlPFylm0sjkY9r0ojeN15wvR5SrVERidcCj2TgZIFM6kGYte9M1qXUsi5z1yQi7NlIPGSqSlaRSN391wdk3XpK06Lrmxm8UL7S/T4QTANn18REQFFFSeEUYtbRTATy4tSUMHKP9grJI8Rep9P0bSFeB5Suak59MmNzX2I04lHqsWbyaox2k84AtvfSXRwE/y9Abw/SnTtBlRnmUUU8N1ZFD/9iKn7z1hNlPDPjoH9zh+m+2BKNY39C0r8s1r4uUt09uiTR0OeZ0M+ILh0+5KIeM0hpuLZivcqp1SqUSbOoYDGqscbIrO93n7hslYWntpaedm4YilceaoPu20qrOKFtL1dgeu6AUIpKZtOS27Tn6y6i2VJUpbm1lQcZIa3wiRaZ0FUiXDrtx6CbIFJ8Bu/Fbg1aAjs7AeMKVufqgrtQE+rROQnfV9fyDpAguVVsD1+ryTn8FM9BND8rnDFu6sQ5WHM/ZXUtH7Gma7fuBihtJoNrT4pC8hOvCzKuoGovRHuc1s2pAbhuu5WtuZguuZSvW44wfDK7xcH+fYpPil0mP+9e1UIGphdCi+TQQskCwnpB5XCJtSoKsb7PShDJjPbBsBk4K0xr2pmsmw1IEXaKmofcKrQPWSoW/KhKqdYrNWpK0JdkvqdMU5RPSWUQvJrB8Y4xuYe97c9Z/+ICLz+TwD59ve58IJ9ARjfZqtDagh9LSGoxqivsTYWIZeAb3UtavKbKnluxMWGpHTx0qBPJzRXlNUdwMjB5CNgs0Q8XqrrSvkqXm4F1FeT3SkmkY3hX2oPXZEHXHRfkrxetH56S65fdff4+/9dMp1Ye3yOaOfBZozrTg/Z0iub7mnfObvHV4zM9ce4+TesqTYooJnv1BgdGeVZpFfriIue8UMwMEr/BOyCKr+HzjDIVJev247rHO+JvW0LaaECf5AlC4FN8YmULzCjs36Fqm3Aa1aO6ZKvQV5HQtRq9acZY+1SLIWTh06S4V+1DRUJUGzOXCXjTw8LwQPWwjgU5FSuoKuzn/tvgXYoH4hYXs0D0fJc24Ul8Iktb1svZBwEO2iM8lCqpOrTT0rdmujSiO1aBU6KcktfJcT1ccpSv01HOYbagjn+F5MWS2GNIsUvTaxHqF1C2Ch2CNQIDjPxJPSBSq1b2SdKi18FQEOK8n0inKWkaDitGkxnlN2VgUMEgbrHWURUpTJFKDiEQiQUGylpqAqSGbtZhNCz/4iJuHAxZ3rshv7xyfCCfQdQXcMH6jicdXBnuWsBmmZDPN9W+3zO9a8vPAwXsyY20qHxlgpWBlqsDRb3XeULG+Latp+n1FdQSH7zjKPc3wqaKshT14xYj9G0vMqOErbz3g8WqPp791k3ce3iJJW94Z3qJuDf6mwtSCztKNLGqzNGzMEL+v+Z66QeUs+2lBbhpuDpY03oiEtW2pnKFuDa2TYd8QVE9+0q1kydsVrZIuSNla6tZQNYnkjOsEFXkUlYusUV5CXl1Hxt4aYcMp4zU2HuVCL6/VgXlkK+1ENtR2R9UKnxtcqqOaTuiLtsHsOIbnHUGExsLOx+rnBbpooB8MY6cDINX3LhrYrou4Hq4CRxQRRbgjRHv1b7q/2yEkEQAS/eCZitJtbWtoG0tJijaO0aCOQ2AJj9b7tN7wxuiUl7MZN9IlLsgmMJsMeTze43h/zLLIJULoJvl2x3i7kk4jLTChW1NQxYjIxlbxPMFnnqqR69HGYUwgTVqGWc04rWlSw4UKLEqLWWnsWkRKkrXcf7uG6Yct9dTQ3rDYW1+kGWj239280P5+FESj94ElIjzVhhB+Uil1CPw14C7CLvRzP4xxOKg4HejBDwUirFrF4XehOjDUe9DmmukDMWK9DthCiCBtKbu8rj3twGCLQHUgoW4zkSKJTyF/Fjj7gmH6QffNKOq7JWneMv9ojzB0/Pj0Ia3XnN0dkacNiRUA0WaT4b5YUtzIsBvF6FFgVECwinKVUOctZ+2YqrG8tjcDINUtLqh+Nj8xDp+oXkmndRrvJHb2aNpSUUJUIwZaRXJme8XdYSGFSxt3dN12ffJtqL07mqubLVlHZ/QSWm8fCypAZNPtHnepjh2AeF6rtudWOw4jhJ1QPrbvduoBPYegBA/RSFV8j53Cn4lOQX88FegRgzv5v3ZCD95DzLvXxJ2/O4/SUnzsimWd1DkD6c5o69FxdHhXmCPLpINUtRZnHLkKrNqM+5sj9pOiVwv2QYqsR9macVLRTiW127Qpqzrrh8F8EA0G5xUXpxO5EV4R0KhWR43EmNY5MIVBeUMwCd4G2ixQJoHlsGU2kGtzkTzUp4FQxnmCQu6DqQVPYDceUykWdyzNGPKL3/lI4PeHEE53fv9zwN8PIfxFpdSfi7//Zy98taIXd/QeIUkcOVRQjB97/LHC1IFk7fp8NZ1VBKOp9xKaiRH1mFLYYNthYPpBoKw07Qiqw0A6A7645Gw8xo1dVAFeMF8PsI8Nm1cDvzF/lddGF7zy+oy/+Wu/Czs33PjxY24eLvjGzXtMTMkvPP48s39wi8EzGd3UtUI/zmmOGtS4oA2aVZ1hteOsHFE7Q2ocmWnxQYaFijKhrS3qNJVdvNnSpHdhu60CyVqq8sJ0HLaQXBe2bbnnHgFd++1O+vw/EXtzYZuL6+20X2/MZlvFl5C9e8/dvH7HiONTEG1YxTSiK/ApKez1rzU7kl+79YRuB40OqG8KtGIsQiWvtsCjGA1403UkdroPSpylbunDf3mNvJkxgtUQIQ+PD0ToraQHZWuZ6QHn6ZChFeYiHx281Z5Utwy0Yy8pMHgKL3MXyyaj9QarHal2vB3VgpzTNI3BtxpXS+SgWoWJu7owWscwP6ZM7chQTuJIdoekTAPNgaeZKNqR6jULiusG3RiO3m5IF/Jllgf/4mHDfxL4ffH/fxUpSfxQJ0CA9lojXjIEsklFcS3l5q+s0a2nPpCinY49nhC11ZJlK9RPIeBSy+hpS7rSNAMdd0NhZ2nG0Hw4wtTgG4U6zjjVE/QHA/x+4PDVGf/KwT3+xuMf41PTU3Sh8Vngy0ePabzhZrLgzfwx115b8r/8/q/z5P3rgmz00UhtIE9ajlcTiloKeus6pWpND8BpKotfJdiFISsUwyehn4s3jZdwvgmYWtB/IaY6Xai+G56rNsTA+8X39Hmz+v0Rdv5ux6H0hT0u/9wN1ftduIsMLlX52bYKdwy/P69iW1PQO6/beb0YwOW1EakKRMPPyDlEtoyt89m55i5K6j5Tj2vYWPnoJuC0pATKiCOotfz0UbZLxpfBWrfV/7NpVAIWJ9CJgCoVmFuZswD6qKBrz2oVeHlvLgxNQWDMLijKWIfwQXQF6iqhrgyUoteg2/j5Df3vqt0OVAn9fsCl4DLZ/U2pKPcDT7+eYCrY/4Fn8sH6hUvhR+EEAvB3lLjXvxypxG/uMA4/RfQKLx27ugPmYJ92EtALS/LymsmwYrHOyc8Dxe0cl8gXXo8Vg3MZFe6KTrpxJOc1PrX4JEPXnrT2XHwmo7wuljM41tR7smvXN2Xc1wfFjf0Vx0cp/8E3/gHfXrzCX3/0ZR4eH/Cp6Sn//h/6+/yV3/oGqW55Z3aTJ8WU5LrjW8tXeXk8Z/JWxTQteX10hg+KR8U+75zeZP5gj5DIQirXKaGw6FL44gYLRTYLpItAUjhBwbFT5Y6fqTMs1W5ZeLa5/DZX/mFG3ufvLzj63f5KRb4f740LT/54x7Djubs2Xp/b75zDGy4Z9fan6iMKuOxMPj5LwCVH1S96uz2HTyXMF0cghd5e7DTqRPTtw0hKoxol19YXGTXg8WpL4ClMxyrClgNKaTCeok6oW0NqHalxmGjwRZv0qR9OHEBuWqZpiQ+KRZ2zrDM+uz8TGjYvN8DT8TIaPAqrXJ9ObOpECpWtwXe4f6dwtaga61I6PaYGvNhHiA5RtZBeyOi1buI9sr+zswM/HUJ4pJS6AfxdpdT3dp8MIQS1y0i5fbzXHcheezUEHQhjR3WRM/3bY/gUPPuq5PvTH2iKG8K5dvROSXk9I1k7spMN+vgctMbfvcHBexVBKZqpoR0GRm/MKb+3L5Rkh56QOa7dWnDxvUN0q5ivB5hJw5/a+03uFdc4+ae3CTdb/snDu3zprYf8gU+/yy+8/xY39lZ8Ye8JZZChoI/m+ziv2QxSDtINv3fvPT6Vn7BocuYXI6g19YdjBqcaW4IpAskG0pUjWTnpxbeezUt5Xzjri3Ze8n1CXPCdE9ghjQxKxVbeD7PyH/6lhStG3xcI42t7B7K748ffhfPvCqDnqhPojP6qM4C+ULb7Hv9f1x52H9/Z2eX30LcZO0Ka7QdEoqruGpJwibbeJB5tZHbDRIkvt9N1MSqQWKnpdGldV0PokH1WeVLT0npNblr204JUt7Te0ATNxFb4oWIvKfqW8O7hgxbGaaD2liqz1F5o3mpnaLzpOR5rZ/r2YdtY6lpDo1G5gKH82qAbTXahMIWwNdcTxfHvHsE3P35f4UfgBEIIj+LPE6XUzwNfA447/QGl1G3g5IedQ3mwKy2DQR7WtxXpAupXWr7w+mPeTl7l8FuGNodqP6Hc19G7jciVoroxYHFHtoDJQ2ktTj6ClT/Ajz2bWwFGLdeuLfnqzY/4x61hvcppi4T/6mt/g//koz/Jr737OoMGlFMUJ0P+1sGX+MrhA7K0xWjPu4ubvMMtFlXO3f1ztAp8OD/kO2cvcW95jVWdcny8j3makqwUo8cBotilLQN27aX9Vrt+h7ObrgEeb0Q0xDaRXcmUV4A5iii+0oXDL7b0y6Qcz/ne4jd/NcSH7ej17uO9s+iM/lIksI1enudAdh2BnPTqxVz5def1H9s+dlKPTtZcOSFiQcd8mphS+J2TxejJTBqUEpXjJHGktiWP+AqrfM+q3Bm60VIryE1DbhoS5XuDNSpglY/Esg2FTxnommnkmXSR9l0TSHRLE4cdjPL9c0AvsQ70k51NMJeAYaVLqFqLVomkKkCSONRICpubdQbWE0bQ1op0rmiHCluIaEp28eLF8M+rQDQCdBQkHQF/GPivgb8B/LvAX4w//+8fep42kkEUEuLU+4Hp+zB8L+Nt/zJmr2Z5Z8Ddv7nGrCuWrx6yetVw9DasXx9LxyCeoxkbXCKc8eMHsH5J0+x5MJ7roxXfPnuJzSaD0wwV4P86/glS06JKYXVRlcK0mh+8f4t7j69x9/YZmyYhM5Y3Jmcskpx3z2+Q2pav3vyIVZvy9uktzh/sM33XMjjzPW9+Pepy7W1BD4hVcyXjt1eKe0GBYodkU8nf+y507wwtoiFffFPDD3cCOzWArcFvw3qXbp3Dbj7fP/ac13Q/lbu861+NBPqR8c7IrzoBs/P63ediWN+H9t0/ByoCiHTECCi/pYXvBW41JGmLjgXAQdqQ25ZxWpGbpt/VfVB4JO9PI6lLZloqZ6m8JdOiypzptjfawqeMTCXkL/WUga45StbcSBZSH/AZuSmjiOyWM1JUnMT4j6vppYigbBPWkQK+9ZrGSS2hriVNCFH9mQDMUpEws3JjdSNCqB3MO9n8DjkBJNf/eREjwgL/WwjhF5RSvwb8H0qpPwt8CPzcDzuJbmD4WPrdHa1zMIH8LDB4lrD/vsdlLc1eyvLugKBkKrA81JgSihuKzWsOVSvG9zXpItCkAg7JT2H0RLGeD/hodEDx4QQCZGea4vWad57e5Au3n5DfXNMuJjKddaGoKoGa3itvMr2+YlOlzMoBdWtYrXOaZcqmSrk5WYodq9jhCF0uGnv1nhjeS0XfpxaXyXitbrtVSr+o+1Ye9Ebeh+NdcU5tDeFFx8eou64+vwPK6Yt7O4bc5da7IX9/Xri063fDPb2z8Ds1h9iF6At76jkOYMcpXGr70W/g/Xt2w0S6C6i6oqkXHspmEsP9S4XP0GMDfGPQSuPtdqyuy+2t9z30uo07c+s1rdkKnwrb8vbGdt0BrQJPvQjOdIIsj8p9RqbmMF0zNjLA41H9zr+r2lS4hCebPbkeJZyNtd8CxNZFRlsbYZ4y0t50zhBKI1wbKmBWBlODXSkGp4Khmd4rcLkR8tYXHP9cTiCEcA/48nMePwP+4D/reTqyhGzusYV8Caby6NbjjSY5L2hfGotctJddvowadcoFxo882UxTTxTpYjuvbqrA4Myzua5JF7ApE6bf1/gUipuB5CTBzS3fDbf5N978Fv/nvW/gskB9o2X4QUKz70mPLQs9Ynq05ivXH3JvKZNeVeLkiwias/Mxg4eWfOYZPamp96yE9YNu55bWT1eEc5mkMz2hZrwHvRBHbIe5NFrebii9a9iKy7tsF9ordqi8YLd/373OJVsnEdSV3VfHvP7K+/XRw04kcCkFiD99nHPvd+k+bL8c3u92BnyXYgQBPH2sbtBdWti+f0iEVqvjF+wp6DVgvQCCoiMSsRqFWyc4HWhNoDaWtc7pettKBcYjGQ23xjNIGhLjWFYZi3VOtcxQhdk6GA0h8ajMiSS4vjyvqxTSerQOqz23JktS7UiNpB61l3mRRZ1RRcJa53UPJgtByVh3EM1Lv07wAekOdCrOUXLMVMJGnM4D2dyTzp10mZTCNJ5qP+FFxycCMegtNCPF8JnsliqSUaSnG0JqKW+NBB2YakwjX3o22y6GZiSDE+PHrucWTFeO5ctW8qGZGFa7TKj3hFHo9udP2Pz1mwSrWTcjHt7Z59/8Q7/Mz//gyzSNoToyZM8MuoHwLKEYptxbHpGblk8dnvbtn0Q7kqwlXUA2d+jak100rG9nMuMe2Bb6dvrpwShs0V6uuFtF2DH8zpCvTtz1Brizy3bHNnTfMfwrebq83/Zcu+H+Lifp1ddulYJ2HMjuaeP16JLekfXCIRZIL1/rpbmA2CoNRhz0Jce38z66oR8o80nojd9b+t0ekN57qfprC/HxZG62RcYuUukUp52iroeR9z9wkciwWjZTjJ8FpnGKtIclA8FovE162LtPwA1k0rUdeercYQaSgtyvZYI0MY7Uuh4NWpUJrtUY6z+uL9jxVCYBNWgJhRUtgsg41MHA8zOpPZlKkLQqiKBqMzYEI5OZLzo+EU4AJUQQizsWUwRGx04MxGracUKyagXOmihpFxpFtvBMf+kD1HBAe3OPoGVa0BTSc1/fzhg/kcGY8iihHSqmv52QLgKb1zwnszH+04HJPYWuFN/85ufJX19y5+icoa359smnGDwLVPuRxnqe8e78ZYbX10yHJbPVkJt7S5kFaAzrVwOjp5rszOMTS37a4BMd+Q/owzFvpXYB3S6otvBZqy619kwd/+4Kki6oDjIrmH3lkV2JLWz3uX16tue5tNM/5+/6VtyVCGJ7EduHLgWa6soUYLdrm+17dC8IyG5+Kd24gmm51BVA2oIhiSo7Gsn36VIwRcjkRapRUmNy9FyHgjjsboA4FN0IwaypAkEF6n2FXYM+l/XWjKDeC5TXBJlnV6qvP3UtyP7aEvnO8vOA3cgMissSmlGKy6E8CjQGNiZso54mQr69wmehj5q0i4ChOF2ue8Ul0LWwZm31GQIuUTRD+Re03s5lREl3dTlIuXR8IpyAy6HeDzR7YDaKzW1Lsrak84yOlGJ03LK5Ebn0TlpG335E2JvQXBujixYdFW3rg4x6kHD+lubmr3maseHxzzqG9zXFTc/kA83wgWWTpjDyuIFm/CBw9pNylz48OyRNWsytDfq7I4bH8mUmc0t13VNXCcfrjFAZTlRgOizRj3IOfhtGj0r0psYsSuobY+y6FkPdod4yRuGNfEkd9TZAV4EXSa6uLrJTA7jS5g1BXf5i487b/7ob3qud8+yE/LBj9Lt5+HMIQnb/9oVdgKuRSvd0l7d3ddF2JwUxOyi/CHzRjRQMgkLmK3beXyi3d65HXS5M2sf60rV2+gSd4WRLL5N+VvgId2HFysH4gWf9kmb+Wce1u+d85egpI1NTecu6Tam9ofWG2kvrro0oQIBhUuOCZl7mzNY59SYlFFvQT3ohyEkxzBDvhRi7qSF7SF9P6cew+5u4jdqChXakIkBIHHZfI9pJwcRRyDmvfie7xyfCCXSf1qWBZt+hKk15M5BeaFwuEs0XpWH0UHqf9dSw/iN3JOfWMHzmWdzVFF8o2PvlhP17DdXthtXLlvXLkB6DXQP7NdVBTnWrweQOF72tjLYG/u1P/zp/9/hzPPj2bfTLBc1EMX7kSTaB4lDTfrFgf7rh9NkUWkX5dESzlmJidQgXbw5JNgNGTyvSRzOwJi5SDTZi8pXCxpl8lwvXeV/t5jLZhn8Bkq9zjH1hMTqYS3l5R8e189rnGe0lIA/0UF2pTezG7lsfI+3Zj5+rf6+rj1/5f58CdIs87n54UBHvj5I2WAhha9Aqfu5mW2cQVOh24S/ekDHxkMX6gA29cciNAWxAp5LGWStiskoJWvDO/hkjU5NFmbXKWU7rEa3XTJKKG/ny0soV9KDIyI9N1atIVd4ya4c83uxxXg5Z1wkXF+N+bBgQvFsr3AbUmvapvXLvtjMS3iKDRvFzyOzGFh+RrOI4c0RK2shFaGrpVFX7n/B0wJSK8QNFeaQoJ47sQlNdd/gU2qOG/EGKSwOLN1tUrTj6Tc21X71g9Zk9Mc5MMb3v0c2A6gDO3kp56e959n/1EbOvvURxqNi/V7N8I6W60TK8n1C85UhPLC6XUPDrX3yfnx6/yx+ffptffOlz/E//4x8VL6vE2FQINBcZMxXYO1gzX+zBfoNzKT4JuLc2LC5y9n/LUh7m7Cea7GTdk3B0h6pbVNmg6oZ0nEKMDHwiMtchjTvF1fD8yk6tCX2f+Wplf/fvX5QO9DWBq/TfnRNJLzuAS0dnVM9ZVx1+v/t/t7PtTvr5qyH/lUKjrnc+i95Sh6PEwKtrQgGuhi2DccXBqODaQAZ5zquhtPKirHoIQvWdaDH2NyZSBuxLzzIZAAAgAElEQVRQestGGJgqZylby/fPr5EnLUYFoWaPY9+JcWyyksoJA3SnB9EdbTDM2uElQs/WG4a2Jh21+KFif1BeYnhyXstkqZdR8nqadMOdEhHFHmgn0OycxjdaOgKNzBsQZyJcJtBhHR2iG4DqhzcgO//4d9UdnwgnoBxc/401558fAgnVNYea1jSpRSWe6m6FTjyqVQQsy7uKYA4YP25J14p6oihGQiSSzmVnN5XHXd8jWTq8MZx9PiVZBFAGn8LhP8qoDhXNOFDvwW/+wzf5L7824f4HN7Azi/r6Gnc8wA006UwW5vQ9y+rOkPxza2YjBxsLuSM7LHnr5lO+/oX7/OXB7yV/P6M8T9DtELNpetZYFfvYKtTQOkzZyo6XaJQ30UhEjFOg0rKgvLls7F2U0AMxnxMJXI0Cru7UV1t9V8+//XIuf1dBcTnPfo6TMRWxV9/t0KEPS1UQBFvndHysCXRTfm4QGHx2hlEhYvfDJShFaltSI4ly14ozytMGzawe8PJwjg+KeZOzrHPWjVCs+aConOEXf/AmKoq76BiS704RGu1pdEBF4pfWaYwWtoSLcsDT5YQ0VvuTeB1dOrAsM/K04eXxnNdHZ1xLRJOh03TwQdEGYZEq20TmB+JAUQgKYx0+/j84RRt0nKUBmznyvMElmjbxl65Za49NHM5p2sbga0MvS65A6UB5+xOuO2BKj/on38F95aeY3A9UNyD5IKd5o8RYR1smmHs5BkiXqkeLVXuGpPC41LD4A2vU+0PGH0F+4TFVoLg54OKzlslDz8H3G9oHmun3Zrz3Zw44uy0rMjm32I2ieKnl0ek+t1495/T8BuHBkG/8nrf5Awff4y/8+h8j/+2B5JTnmpPvXYeBOCUmLXeOztlLS0qf8DOfe4+vfPUj/ru/9sewpSXZQfjpNqAaB1pLmmB1zNWlI2Iqh2qF3Udbmfzabct9LKffaQnu5oyXqnUviASeZ9x92O2l2tyfm53XqMs7d49H2HEyfVEq7XJ+teUL0IHmwG3Pd6m9IM8vz0aR9YeYICMObzc4UfTz9l0LzhrPg9m+YPut7OY6OpK6NXiv8V5hlLrExiSORC6kdoZJVpGZtsfwb0rL3Od9y69xBqt974QbJ0NiiXWUdcK9iyM+nB+S2ZZRUjNJS3LT8qW9x5Q+YdnmLBr5V0Rn0HiNiUNKVSM8Ek0t7M84RVsZ2tJu75cO6KgzaEzgcLzBBYHCl63oWygnnIxBAfmWv/Lq8YmQJh/cejV86Q//x6xva45+u+Hx77Fkp4prf+QR9z+4ITJgZzlmJQWW8KkNzmmydwdk5zB+4jCVZ/56gt0E6qmiPApMPwACpOtANVXM3gS337L3WwmjJ45qT0tLJ1cs33CERKYOf/or7whzTDniww+vy0WqQPokIT9TbF4KDD87o/zuPgffCzQjRTOSFVreCCSfWbB5NmLyfcv++y3dfP/o/QvQmnD/Ifr6EeUb19GNx2xq3DjFrBvcKCF5PAfAHYwobg9ACWbAG8nxghbatM6wupHanp9PQ7KU+oJPozFqtiIVjTAMyRSeFJggtt9qWQ/FtZ02XIrMrieRkakzSIU07uNuszuDHHzMv1stBBoR3is4APmbzgco6IFFKPp23u54cZcjSz7M5aJZdzIQtWod6CnEQgyLu5beyGHylsGg7rn9ameEfzEO6jS1lZZd4hjkDYM0Qo1VILMSAmkV0IR+fkArYYWyyvdp2qWUDThZj/u/HdgG08OR5ZyzWpSjuklDFyMYFxTLMqMsE3F++rLjUypQNhZ/ZUxZ6cBgKDyGVWs+2dLktggMT1pWrwjRZ9BiTA+fHZAflNQPRmgPbuxhrWWSaplQ3G4p7nhclmI3mvVLsiDbl0uGb+fc+MWHLH7XbWzhefyzkD1JSO6WLF83mFJz+E6JnRccf+OAo9cvOPvgAFNovnX8MlWV4JxGJV5ysFZ05ja3pFC5OB+R14ryICrDVFJbUEGxHEywlaIdwuJVy/CZx24czdGI5GxN+5OfBSRM7nZ01XipFySGkIkUlrlYMwDMqiKklvXdMeubhna45dyXAqEYtt7E1lXP3iMkJH2e3xl9th3DdTm0g9DPEnQzB50hQnd+1Rvgx8BC3c8u509i286rS0W77vfd1wYduwC75+mEOK/OHPRzDtuCWO8Y4nvYmd0+b8VphUSAQ+gArcYVllVlWJtcPmvnMBTCNtRhHLymbmw/SFS3hqbZhtUqRijdz1Fek9q2v1y7Ax5SKjBfD/oC5MqkWONlKCk6lqqV93K+cwBEQhJNVUUOCh3QWiYdnfG0Xt5jOij7SGKxyal8AgHqWujSVrPBi+3vhc/8Czx8onjwBxN84jn+akJ7rUYtLWGRovZLkpUw/uoK2qkjeZRJT7UVlZZmAtWR5JOjBxo/zzE1FJ++zsWbhpd+qeLu6xd82NziaFBxOskIJmH2mZzVqwOyC7h4vIduFeGVguXpiORZgh9K31Y7egov5RS2lC3XbqQAExQ9IjBZBqY/kBbg4osNySrBFkLOuX45x9zIGH2wojnI2dxMMHVg2AZ02aBXZZ8uBG0IA9mi3TRHVY7RvQWj+5rNK2OKI6Gn7piB+7aQCz3M2GXS5+6chgrb3rgpxPA7rbuul9y17+p9XlgQVGpryFehv9JZUJH3YdcB0Pe8Xb6TwkRcRCdU0nUngqYnFt11NC4Xvn8V1E4qIWrSu5FJ/1xQ26gAoYTrr5vdv5PHTCH9ekEhBmoNlQ6ik5l4VLpT6I0nUbG2UK6yPkrSZlvTUJHQtKlt3Mk9rTWSWhhHEdGCy7VwSgavt6Chbqw5RjXSWvVRv0DjukjAWrSCsrFUZYJfJahG0WpoEt9zdj7v+EQ4gaDBrhXVdU87DKiVEY3AhwPSGw61VBy8I/3b4TEkG8/Tr2kGJ4r1q8LZls4Ug2OBDV98HoZPhGJ8fbdF/72WByeH3PnsU/71l76FfsPzP7z3r2I3gTv/z5zHP7MnX+7KkLw3ZDTbstZ2u5Vy9PPbuiaq4EA7iH+XQjsS6nTlhNosObWsv7rB26FgFO5pbBHYfHVKNg9kM4dPFfV+Qrmf45MpHRbeVoE2lzQimzkGj1e0BwOakSVZRy1AELCRFZHPXghECQZBeQG4hFmIEYDAhTtCV1owIfLdIQ6k27nzc/oI4mo9QtR4YmjfAVZ2SDykq6LYZRjeRQducQLinIKBENGC3fvJpr8tIBJ/lQhAf8xBqXhxPhMHoRr5J9+X6qcKx48kndoFNBHoyTu08zQjmcDzJjozYtSUGJnZv1Qn2clL+qJK6AudQYPvHFOMbFodaDql6hihqI7zMO7+lyKUgKRVTXc/hBTWGzmHMr53MN4pQmHQG42po0JRogjVi4ECnwgn0BnU4Xc0Z7/LkcwMrs3RrxQUm5TwxZLVmxp7mlDvKZKFRreSq04+0LRDyC4ENhm0Ip0pyt+94t6PW/CO9WsjhqMFzmv+1w+/yp+682u0X11yuk559o0hyWTN6DdG2I0wtnY7UzqH4lYMg/12p0xWItBRT8Q6usXfdhGXgmbq8Rb2fnmI3QTWX2iYjQ3JuWH0WPHkZ1uyJ5Z0pjj4fsvgtMUNNC5RlIci4JlsPM1Ic/alhMHNfbKFJ523eKPwI3sJMaacgKU6mm8ddcg7sFKIo8cukyjFlF1I3RnidnxY+sy+N+BdIhNJFQTi3FOf7egLqADrWzZKdtG/Zvewm22RsOf/26EZ0y07dYDLRqe8qAB1zqOPhtouNVI7EclOpLTDw6gbgQ/0RC1s36Mzeons6FmOtpHS82toQtEWeqfV8xsYRc/cHNdG/3xXw0Eeayfbe9xBk/sGUJwV6Ee4I+qwc5wuj6mPElEe5SJytBvuGry4MPiJcALSq4flXUBvhUjapbjdZCZ47/33YPWKYvWpVgRIUo1LFYOTgKlkQTdDuTHZr4y5/pHj2Zc1dt1QlgkXQXEwLHi/vM7hZM2TkyFkjmaTMNpEYtLIxS/tKwXHUvirDgV0kc4Fsjw4rWmGOS7bgXO2smiyeUDX4pzmbznC0JE8SRl/CKNjz/HXNJN3EvbvtTIkFKA8slR7qle40XWg2tfxc0G1pyiuGdKFJr/wW/5++HjYDmQXLrIwb3dN1QaSqkW70A+UqCBFQt3uGn0nN8Y2tI4pBhAjjO2C7Y9osLYM250WuDrRmBS+T1n6+oKK0uVh+/zV7gdI4dJuRAVZt5GGzUTxTSPj2R/bnHd6jOtbSXSSsdXpg7RbA32EoBtIm+34t7qUAby4kK6bcOle7SI+gR6/L7UOtSU/7aKRR91F76RWkfNxV5S1M+ye3CWu1U6TsHNYgveQgmXYfMJbhF2u2AFYXB7IzjXFvtCItbccapaQLgPDY41urUiRxSmy8iiy63qBU+LlZpR7GjcMtEODtZ7V6YjNcsrJ6hbtUPrPzmiG19csfsox/eaAvQ9qNrcSmoFgxH0i7a12Ii3B7FzRjDTVQYJLxXkJSSqCBNOyGIYnsivc/PWWk5/IOHi3xRaeat9KDm6gzTTFNQ1KS6ieyT1Y3fF96OezQDisyN+VfHF1B1avRlUmDcHG6r0NfQUfHcieJiRrUeJJl0JuAsQBK3rUoamF1FS3Qk5qGi/ko4m+DCSKxiT1j3CZ6WiHijwoSBeOXSaibnCqN+Ria1WXnA1AAFP7nZ1zxxEgz+na049Vm+jICocBmXlgey4dac67meT8QtMMNdVE0UxkmlNHJd+Owbkv8u6M3+pWNBo+RnLSv1d4bmTRr/EAnbmFmGJehWf3zqZ3AltKObsTyfSplOmiKWk/u0TRDuKa7du0UgQ25Sc8HSBIiLj5dIOe27i4Qc8s3KiEFrpJefxHG8ZvZ733lEkqYg6+GzOK8Ei9r3AjievaVmPPrdQKasgWMnJZHhia4ZTN1xqaCTRTw+CkIRkb1jcMLodkBdkz08N72wG0pWZw7pk8lPakaj3NXkJ5YLZQzamm2pdbPH/Dkl3IDlldc5RJ4Pq3PZsbqTAi74u+Yj1VXP/8M/aykqGt+c3v3eXlGzP2Xyt4+4OXuPZLKbYM1FF51xsRU3WZGLdPxTlWr1XUCuls1KKLJ0Sm4iTboVyjqbSQujjTo890A9nM98U9HSXFdS3OIhhJLbrdUxZm16ZUmMJLuraDaVdeFr0KAZ+pnk5NR10E4LIBRYi1PBAHo4xMxlX7luKa7oe7bCEjtPnc95GJqX3P69ClQt4oFncN5VGgfanm5s0ZB3lB0SacrYfMFwPs4wy7UqQLhSnDtvvSBpJCJvS6Nbu7fhUx5VL02P+eOCZ+po4luiuIdk6jmzJ1mY46jfTd1i4KkppG6F9LCBERKBfQE9HuRBF9PaYF2zwnXIzH/28noJR6E9EW6I43gP8C2Af+PeBZfPw/DyH87R92LlMDCsyFJT+RMLodxA98ltFmnsFM0TiZxqquRc6BEpKlsKhU+9IdcHlAV4r8TKit8yeW6T95n/Wf3qc+H3P4Ts389YRmpMjmErpOPqoJJmf+1YrqKOXmryiGj0vsJmF9M6EZicOxkfs/XQVs4dFNwOU6ogpl0jG/kLDGFB5bSP5965sV1bWU+esWuw5kp4ZmHLj4jGX5hic/0ag7G0JjcMCrk067wDG6tuHp+ZR6z6BWdoeHQMJLkaGmjwZkYQT0RSJV+hil7A6QBANu6NHL6ACaqPugwcdFX09lAq8rfIoGpKRqIIsr6Qhsw7bG4HIR5wwaqgMRlOnEUkJM9bxFRq8vgjDeRIPqnI0M98TCXNydXSbI0M3tQPNaxWRaMLCOdZlStBqftVQq0DTS4/cPhyQrmQisDwLNxMN+w2S6wLYGGsOziwnPmIhAbNpydLhidOucRZkxm41QpynpTHgi8Z2eoN7m637rIHSc5WgzMXJbBooDjS3luWYg6ljNWPL55sCTzIRJa/Q49HJwsE0hdguiHe18DxlXEgl0hd5Wbf9Oh9C/1gg9Au3wd8AJhBDeBX4cQCllgEfAzwN/GvhvQwh/6Z/1XLrytDmk55r8LLCO7ELjjzSrOx5qRXGnIT2xVEceXcpNMoWinsoCbSee/NaaRAU2xyPWLxvJ7xdQv/kS42zGooDsrGQ0MjQDRbJq8Uki/APLQPpRim4U1VSTnxuypyu8mZAtFO5ck81akkWNapywG2eiGx+sot63mDLQRqpzXTtcpjGlpzpKSectw6ea+RuSo2fn8hmu/YZCO8/cjkgbKL9U8HQ95dliTLVOMaljOi5oWoPZaKlap3ExKdFUGH1mxiBtGCQND58d4E9y/MgJJfrc9Cw8XXGp2fOYjTioZroNMwn0LTrdQKi2C8dlAX/gqXcAQcopeQ8HfuzkHK7bChGyDRtwcVcKQdG0GmpNs6fZ3JKVG5K4+zmFcppgty3PoMEPAmHYkORSpdPOsFrmvYJT8IrCa0xslyVpS/rZC7KkZVlkHAwqTmdjksSxOB7HBRyvUyO1pdZQqMBpETs0JqBulbjbgaoxhI0FE9CDVoZ+ao2qNaruisYKUwiWxJTSKfKZh3ELK0sYtlDJa3St0IWimXjCQaC6odClYnI/AS86itLKDZimK0bKl6Ta0AO6OsFdn2xFYLyJKV/SDXqp3jm86PhRpQN/EHg/hPCh+mFc9y84fKYpb3hufTNQHAnffzqTIlF+LMi4el9RX3NCETUSUIjLpRXj9lqSSU1iHeO8omgmDI4Vo6eOZOP56GdzfnrvGe89vIHPLIPjivG6prw5ZHBcoTcNpnRk85SglTCyBEBrhvdnhMTghylmUULr8KOcdpLQDjX5s5rQyLRfF661Q02y1qAhPV3jsgnZe08pD18lPw9M77fkpyWzN0ccfGfG+Y8fMLkvO+n6Tc2N4ZLEOM7TIYmVb+/acM2jNxVrvS/toZFDD1u+/sZ9rmUr7uZnHNoV7hXNX/ruH6I8z8mOCjiCapEJq05hZCcPCp9H4ZQm4vdjaG9K0E4Ks2KE20m2LVIwoGpxZiHzcqvWpq+od0Amc2HjMEvU4gsKUg864AcORohhJU6aGk7hKxmO8akXoJZXUGsoDE3VzRxHA05FMyBExl0fe+GhMmx0QKWesLYUwwxmKWXqMWu9vUYbdQLbKNmuZbqwG9LxK0toZTqv5/+3Fpd7yDxh4Aipkmp8jLhcJmvS5x6SAJHrUG1MPy3pUzFy1SrsJkZjrWL1atft6Qq0Kv6usBtFHEWITloKuraUTlCydLGAqEB3SlKXh9FedPyonMC/BfzvO7//R0qpfwf4deA/fZ4E2a7ugJ0eyDjuVCYJ68OWZqylh+oU2CBfngc1lG0tKMvwqaKZQq0MbigQy2WZkdza4B6MqcfScK5vtaxdyuQ7J1varbohSwx6vkFVNbrMcbmh3re4VHbwoBTqdIY2GjUZARBGOc1BLowtClTjMJsGs5GxYZ8MJDrQimaoGWhxBusfe7kH67iBZnl3yP47S3ye4A3kMy+4gMTzZD3l5HzKtYMluW25/+F1Jncr3rx2woOsZppWfGp6yj99cofvPrtFZh0nBxO+tnefL+YP+NT1U95evixklF6JNl43v15LTaQT7jQbhcrEIbhBQDtZNHapMI2Epi4HEJFYk4hWX2Ids+WAJBGptuJ0KMXMuOiDjaFrxKjoRshbfKvxuVxLUAFahY89bGn/xfVRS8QgOW0sDpqAbiSE7nAHwSKbxamSgnFs0wYDxW0nRjYz2JUiWQtOQ1SqiECqgB8oIenU0aFoObcuNHYT+QsCfSFaN5qw2YqqdsUMEXSV+5ddWJqRONLmwAnFeeoIy4RkrvvzuSxggiLENGz32E56QmMC7XDr/7pUz1TyM1lthUp6fEZXt4hO40XHj0KLMAX+BPDn40P/PfAX5K35C8B/A/yZq6/b1R0Y3H41pBeK4gaMHgeaPSNqRLVGTRtCZbDPDN5q1DrDHTa4w4aqSEiWitFCsxgn3Lh1xsOzfepVSjgKrD7tSE8NKhNxSYyB9QrSBH80FYRe3YBSqOWG/EEAvU871FIpn6/xyyWubjBliRqP8eMB2nnSWdx1EkMYQDtOMIU8lqxb6j2LqQPLT03QbcCuHfnTDdNvrQkXc+ovv9739bOFZ/C05PyLw/+XuTeLsTRN87t+7/JtZ48TW2ZELlWZ1UtVV3X3DNPdM2OPPZZnsMHAiG2QJSxAXMAF9/jOF9wYxA0SF0hIYIwQlrGFbKMBm9k9q6e7pqurqqtry6zKJSJjj7N+27tw8XwRWd3TNdNoBlRHSkXGycgTEd/53vd9nv/zX+i9UXDwYoIKijMd+PyNE/ZvnZMZx3ePb5AYz+3hJW+c7bFcZ/jWUKeeapiwDilVTLjTv6C8k1A5y8nFECoti7p+fkMnS+nfryyp07m4KIVMQMprAEpDOwjEjZY7uxdsFUvuD0SO+/r5bb4wOmYvu+TvtD+JO8vFA/LWikFRs1hn1MsMvEKvzPNR2LrblKKSFqDrSK6ovlesQ7m+clrrWpPONMniaiITGTz1pJcNKkSSp+fEqobRAKxUbkffGAuXoZsO9E4DduUJqRbQdkPTjBRNEMffaDuAstaYUpEsFclKmKrax04Ipb5PoxE11+3RVR/uc6k0kqXqJjAi/LFlcn0qN+OuOupAP1ODXj4fmV5ZsgUrlZgYoMhmbWp17WrkU/nTDtQ1tqI6XssneR5X2MAPe/xZVAL/CvB6jPEI4OojgFLqvwf+jz/pBaIC14ON9wLZhaPcSYnGwo0aXxmKjZJqbcjOxLCzKgwxDfhMsvtcAajIvMpFHhrEMdiN5A0r+jUfnG2xt5VgMos+uUQdnMLWhHB8itq/gVIKzi7ItcKPC8yihrqBJIGmJfoAbYuuW1hrDKDqFrWuQWuM6qHXLb2FBKCYMsUXlnZgKTcNo5ljeW/A+FsL2JyQfXBEHA9ww0wAIa1Y7SmacZAb/kKjb3re/t5tAC53VqxmOfdun2BV4GLZwx/0iAaanudoNOCgN2EnmeOj4qXRCTeyOSebQ/7P8lV676Uka+m9iwtPPZQpRjYLtD1NfuGJxsBCTl6fyUnlepGw07A5XfLi6AyrAiuXcdr0udO/4MFyk8u2wLWGdGdNUyW8dvOAoa15tNrg47CBO+phV89FTnbVlandAr+i9F59bpfdKWtlvGdqSXBKljIF6J15ek9L9IOnqF6P9s4WsV9AYlGLFe74FLuzRf9oQEgU5VRQ92qi6VdBGJORzm2oa4mcuo6r1203eWroJiadBgOZvDynQX9iJKhhuS8mOCGLuJu1pE8NWsLKYpaGkMqIGYTRut4DvZIFnSw+cfJfbQIO9HVOJAgm8JyT8sn1I16D8ftAxe8TYH06TeDPZBP463yiFbgKHek+/TeBt/6kF4iWDnmNnL6Wkiwhak25pUiOEsoItlK040B2qjFrTXJk8Gmk2Yi4oRjdl03C3saMR62h3LZM3tRcvhLYHy05/rV9fF6jmwTSBMoSQkRZC0oRE4saDfG9FOWCAC57m6iNEXZdyahpsYSzS8w8AaMJG0N5reMzdJGi6gZiJEwHmHlFVAXNjVQAuIHl8iVD1DcZf+eMOOzRbhT43HD+xZTRI01100nPDKjTlPa9EcVSchhWSUE2FKrww/mUpk4E/EsDSkHVJHzz+DY+Kl7uy+V/e7mPi5q9vXPOd26QPgDjBHTzmRi0Rq2pNxTRmI5vIRuycCSEp5/3GoqkRRNZuIwiE/PDNmoenm5ylA/Y3Z6xP5hxvB6iVaQOlt1iwXqScHhWAF10WRSKuC8iznblfEfc0dXzLAXtENDNS8J0OovklzKVyc4azMmM6D3+xgazewXZPKUZaPJzT++3S/zNrW6CEVjua/qHkXqsqKaGYBUuh3YkJLB2q6W3UYpVnIqcL/pUpwXZsSWrr0RZMslIVh5CBK1whaaaGOqpohlCMw3YlYxg49pev5cg1mLJT1yweDyCUcvoWzk+lXyNcls9J19drYmrBYy0ZPWGWPDZtUIvuurkE+xFc0VlV/Ha8FSAQ9kArsDEH/b4swgf+XngP/nE0/+VUuqr8nbz0Q/82w9/GEFU67FmdTuw+YaiGSmKd3PSOfizlGYE9Y6n3I/0PzYMngZ8qih3FBUGt9mynuc8fDzEVAo/cUSTsHnvgsYbsvMoDDMXQGvYmsLRCWo6Aefl1LeGaDTNNMcVmrYnIhztxNcwJLuk8xbVBnTtOP3qiP6Rp+ilXH5xQHYZqMeacltjqkHXE8vIa37XXpOPmr0R9UZC21PiivSxQ7eR9NRiV5bypqe820rfeMeRZi2uFcLT8WJAXVvyomF751xK/vMRlwcjVN/xbrKLUZHaWzmJj6f8xXsf8PtfzVjWGzL9mHYGJw2s96A4hnpDFsQVuFduSo5DTCLeaw5OJ/SS5loyCxKQMe6X+KBZlDl/eDoi7zUkxrOZrxgnFf/u7df5J/bLjNOS80psug6ebRArQ35gCYnEyxGlJL5SM5qud08Xwk4cPKlJHx7jb2zgBqkoLXe3IXRhL43QxgH8F+9iZiX9j0DXLfV4yuBpjWlSdBtZ3jRcvhJkCuEUo60VN4YLfnLrITNXYLYDfzC6y7OLG4wey+srB+msxc5K2mmPZmKY3bU0G+By4XjEJJKfasptwbA8wuUnKlw/Up73URF6wxqf5bBTM69zfBHILsQVW3vwCZhWWo5qQwvu9UrJ11/4iLOqz8mqz2zWI3uvoDjqRG5tvOan+EyRLMN1tkU1Md9vQf8Djz9t7sAK2PyB5/7G/+sXcqqzAodkrii3FfVmEGadUiLaMIJIb710hr+reHY0YvxGyvQdx9krFjfUpMeWZAFoKLVFt5FRXvFsNmT9Zc/wSUKiFLpqZDff3iRezFDDAaQJcb7AOk802zTDvJv7iwbAVJ56nOJTUfZdSXIBqt2C/MJjqsDsniVZRVyhKHcidqVIF+KmXO4G8jPF5UsZzUgUh+/pLTUAACAASURBVLMvRLb/5yUxMQweD8T1VgvQqTy0pSHuO1xj4GEPX0TCwHPjzimvbRzw5sUeWxsL2lEHrqlIoRu+e3GDRS0JuneLMz7ob/HktYxeryYNmqa2NIcFoQj4maUdSH/abgTsXHp2UxmCj7SFJZaWeseK2UabkZuW4/WQRZnRzxt6WUO5TlnPc44UbGRrLpqCnm740uSQf3/zd/i15Sv87vk9/sJXPuA3j17i7OAGppGTXgWRlF8xGZNSTt3svBEdxfGCWGSEVIxW1vc3qMeG3nFLvSHOTc1AYWrN5eeGbL9hWdzOyM88+ZnHXla4WxnkMq+32xXuNKc4NMyLActFznsPbvLSvWecLvsk1uPGgZOvarbeCCRVwPUMyme0Q0s9NIRETuQwEm6KV8LZUFGAunSmqTdCx9yLpE8TdKuIh2OSEtIPCsLLS3qpwz2eMDjwhERRnHragaGeamZfCMQsYFXERc1Xp09429zkxnDB+WaP5W/sYNddJd0GmQpoIUuZBkzpKafm+l79YY/PBmPQRLJz2QSihvVtj1l2lM4EmadqiD2PD4ovbx+ymJzz+uol8nNNdhkJTy35WWRw6Jm9YK+ZUyEqhkVNNUp59o2c/Myy96trojGoGNGtIwwLmTysS+JiSXJo6esp7TC5ZrQpF+g/q2l7FjRUuWH8cYtykdXNBN1GijPpM4MVUpFuJVNx662S8y/ktAN1zQGvp5HekZwgy3tDTBnonUhqTH4O+ljApZVR1Ad9TK3wPbnZ1NyQWcdpPaCwLV+aPCPTLTvpgnPXxxDIjOPR+ZTBuGTmCnzQ9HrSTvSyRli0lUIFjetFGeNpSC41Zq1IFolULlZRu4yQB06XfeoqQZtAL2+YzXqE1mCNlL2htOAV1cMhry8zAL7zdA9XWx7c3ZKviYrfObnHwbMN8m5k1owEqHSFAJTZ3JMf19huJEsIxH5OebMvQGXfsNzTEjffFw+KalMx/1KDSgL5ezmusCxuay5ellO4d7DB6m43WSoa1EmOqTT1ZkCtDTEJjL6bcDAdsT7tSSnfczR9OG8yxh/KPH7gInbtYUOa7MmHgfNMUxwJR0QFaDagHXmGDwyu34GDlcKnETeQqvfycy3p04S2TPjpuw/59VcLyp0UUyl6hxpbCsFHxYgZNUTgmw/u8gfVPRnH7lYM+xUhBT2LNIPnjb+tAutty+lXlWBrOxXqWfapy++zsQkExebbNUdfz1jfvCJYpKAgPwGiCGn8pWY5yjlcjyQkcn/JxReH3Pxdx/a3StpxRjKrafoDfK5JFxIm2TjD5i/nxH/njNOTIbf+tzl+bxNaT+wXQlt1HlXkkGegFMmTMxIfCJMhqhLwD2vQoxzXSyicjMCase0WtuL0tUTScxSsb0hAinaRcitl6zsrirOCaqIZPPW0Ayv97ZGh3IgMKuHL2zKgG0P/yDO/a+k/jqz3OnLOnTXtOgWv+Ph4yrN8SJ5IBHaqnURbRcN2uuDVyQEvDM9YtDnvzG/w1/be4r3VLr/6xssUmyXVOoVhwK5EcZYs6MRQwow0dTdGdFAcK5qRZhWHmLXGK7jsdf1u4Zmf9aX584r0TNiC6jDDlt2cO428c3aXMHa8cOeENmh06mkmAbuW8Mx0Ib1ssg4MPpgRrabaH6LbQEg0ykeSpWO1n7Hck/shPxNxV3EaJJLu0hJ362tgbPwgcPFFzc/9/Lc5KkccLEecPN5AlYbb/yxy+ZKi/MkV4bhA2cD8Sw1DE0guRAXpp0JOcq8uObpREG2A307pHzYUJw5XWKk+Kih3FbqWzWz8Lpx/RXIG+o9kHFntCOgZ8i5gxwS2vnbE6WzAK4MDPtzbone34eHJJvGrDacfTUjm0H+kWYwNL79wyDsf7JM/SWhHAX+ZsoiK5MsL5o/6+MKTXhh0rahuB/TK8MKrT3l4sMXPf/57vL11k4efsvw+G5uAjhz+uYxmJD3p4I2M9c2I7sZZykEyB78FwWsuq4J1k1Ad9hm+dsnB5xJ2/kGf3mGNLxJcrkjmUmJelgXLdcaGh5PHE6bfNqA1et3gxjlmFYUMlOSgB2LusW5QZQ3OEd99QPAelVhUmmKyFLOziRsXhNzg845WqoTwIZqGyPKFSP+pIptFzl4z2DKjd1jRDHq4nmbrjZpqKyE/E4DKzQQRz05rfJqTXjboPYPuqLrNKNKWifBDI7QXGWZbGHyPFxO+ODnmsi14uprwodri1ckBXx8+5LCd8N3FTRLlmaYrbr9wilaRC1uQTpdcfG9KBPIzRe8gUt6Q1kVFaDuAMJ1JVWM7JZppwKcGN4g49xzl16UmWSjK3Y4vXylsJZuLqRQh18zKnFe3D/npnYe8u7/Lw/Mp9p+NKc7llNYu0m4UhNRw8VIqfpFtpOlrinOPaeK1wCebi4ai3tCs9yO+F0hTT3m/5uPbGr2CaAKlT9jOl1TecnG5hb2/5PzlIau7niLxOMA8yTF31/TSlrWNxN1aKNizhMn2nJN5hl4aLl6B5e2M4iSSrGRsmF5GXO95/sHiRWDS0vQ1vrCELGLnGt0q/NCjFhZ1lnLe62NM4H/83k9RPxpcTxou+zlb98+pnWFx2oegeOejm2y8bhk+cZRTQ7VlWe1r8vsl9t6ctjXETYXzmm/cfcS3Pr7Dn9/+kEWd8fXhQyZJye9+yvL7bGwCnT7clqCcZvFC6MYg4ho0fBSpNwSgc/OUc9XHJh5TauYXPdKDFOXFvUeXDhQMDxzNQKNUJMscp3+lIn+/YPPNFX53gp6XmFWDWlWoLOVKrKIXFWpVyqx5ZwNubWPWDVFrVAiodSUMucrJG2yFwy+88EizJyIo5aGeKpK1tDrllqUZGTa/fUl5a4AK0H9a038SaTYEZ7hiHNoyEFIJl2z7qpuLK4oPMsxV6GmARZbhCsPiyYj5fs6L03OsCpyue3w73uKXHnyJ6rRg+84FLmpS7fm3bv0hT+sNnpYTmmBY3s1onvYFTFpA8SziMzm9QnbFJ5ZFF6ySiC3bKScDhCKgGkU6E8agqaH/RMvsehRZ7XhU4WFhIYkYHZk3BV8aHFL3LZN0zR8OJ6xbQzaP6NajnVCtR48cdi3066avWe4Zsllk8mErSkIgP4Ojr2WkFwqztsSTAb0K1rcd+d0Fo17FvCm63L+MZKUo5xm8UpP2WvTvj8l6ck2xgePTEXHs0YA+TTFrxcmzMem4xvUMbWlxNwPVy4HBN8X/MaRyLbKZKFrzU0V+kjP/SoO6WZGYwOA7fVb7iuTcomvZOPXrQ9wg0n8M/fq5pF63hvm9Laq9lsHOirq2tOtUgndvGtKZjHBjFpl9PKZ3YEgcoGWy8227j008b872WFUp//DZj/POwz3gH/zQ5ffZ2ASiMKeErCHNfMhEROQKKeuaYAgWBg8s5a6m2m6Imy1qKb9COdWM/vCsI4UUJHMBREZZzcXbWySVEC9m93ts/t4Rqqxx20Ns1ULdoJ0nZt3lsAaMIRpDtBp8IPZS2mEKcYBuvOjZG0/v0JMuEnpnMsNtRvbafKLpC1qbn8kNm6wCalUR7JD+R2ei9T85I9ndxo8L2kmG69lOCmqu46SrTF3bnH2S56/nFldr7FqzPOvx5kkfVWti4ZmfboKGwanitNnkJNugv7OSmGyXclkX/Kd3f4Nbvfuc3+rxdDXh4zf2yF9csDruY2dS1uskUinZgNt+lGCPtCMTpRLGGZUhrgXIXO9G/M0a5omwEwctSoNPInphOG0nrHcTPjzfZHneQ60Nex/665i29KLBLGqSXiKTlLElWXnyS48rBCfymSKZOZqpbJ7JEibvN+g2st5NuhPZUvZy9iZzTss+W8WK3Dryr51RfTQhDh3GCD3c5ZHsQlE96oMF48DbgL1Z0azEq08p8faLlYZSs/+FYw6+Dr4yjDZX1I1Fp47qgzHZmZZ05EYTz3OcgYsvB8xSlJyyuUI7juhGSFur25Fm05MfWlwRGX8YyU8SQjKh7wQ38Z1QbHnPU9xYEs97qEqTziKbb5Y0k5T1tmHlhjTjyB8u75D2Wj54tn3t2/jDHp+NTcBGskvF6gVPb3uFf3tEO4y4icesNLP7hvQyki4U2UUkao2f51Q3HVv3zvFBsffn57z5525x9x8q7FqqAlNHrJK+c/rdgKkD/Q/nhEEhp3+I1Ptj8fnPDW1fHIvSueu8/zXpmXAEVONQLsHOSvSyIlpD2BrgC4tuAsnMgZb+1pQt0WqGlaOZFvhMYyuPagP13SmmCjS3N3CFJRsULD43pP+4JBhFcbCEvcG1hmF1w3ZvfsQXIpqCzrkoEw57qDT2LLneHJyR0thUHelm4NBzy/rpgH/x8AuENPLVrzzgVy5f4agacrOY8e/tf5P/+vTn+PGbjzF7kbO6L1HsXowqV3XKdl5TJC2ZcZ2Pv4R8WB3YemXJOKkofcJROYT97q1VgSeXY4YbC87nPeJRj+b9Eb4XoO+FSmwhXXiakbAK/TAjmUtrJ+GaIjmOJqGcGpn/Fxa7lms6+khx/kpKuS2qReUg5B6bC7fh8GRM3BYDzyxxxDRi0kC5yEjH4sMAYkdWnEnlVa9Tmi2PahUxD7S1lZavFg/CZ+cjghMB1fxwiK41zbQhThxhmWJXiuLIineigXI7svlW5PTHYPCxMB/PfiIwvjXj8ukIPWpR5ynVTcfwxoLlPYu1gXKdkr1TMHgq4SLVpois6nKIyiLJXIx1zl4t6J0Gdn71CfWL29QbCasbKav9FDcOmGnz6cvv//sV/iM8lPT8AOvzHllUxCSQnonoot6IrG8FNr6jyWaBbAaze4Z22FK3lsWTERd+Ckngyc8apm9Bce6Z3de8VCx50hEr0rkDq1ExcvDzU27+5ozzL/UEhLttKc4C6cJTTROyC4cvDHpZyvgwMZiyBa3x0wG+n+AzAyFiupQh1XohEXVjLFJDclGRNY6YGNqNHJ+LyhAvZbcfpfgUTr/SI7+MoCXjPpm1NKMcW0bSuTgL1ZuRZCFeCeWO7jwUjCz8QWcoEsCsDGq/pOjVVFXC5LcGJMvI6qamfxA5+anAt9+8x/iWBHW89xsv8n/ffRmWCX9g7mJMYHXSwwwc29M5f/nmexgVeGdxg4eXm6zrhL3JnMenE5LEs9EvefvZTXp5TZE4iqTloyOZHIejHLtSnOZiAttsCIXVHBnsSne+DpLmXBx5dO3QszVue0S0ivTZAjftE1NFflyTH0O1k1FtWvoHNWbVUN7ISJaCuq9vKlxPrkN7mfN+vQNRcXAwRS0kY0LnkeBTkplgGElH180uFflZZPECNJui144p1+aiobRoK/qL8LQgqWXa46aOqCPF93Kq7UCwkXQl1vS+CGTnItyavaTwPcf6hsIOFXqtWXwwIakVLijRbww8y6cj0lPDatfx2suPmNxf8/7lNotlr4spt9iHOcOHwlBUAXyhmN8xKL9HdtFSHNedniJneVvjy/xTl99nYxPohCBmIbv81nc8z35aGILjdwzLu7FrGYQCGg2k80h8o2A9zYkTDz1P2m9QW5HyZIhpNdV+S2FE3pUf19hFjRtmmLJl8ZJn/qWCL730Ed872GU6viDqwNk/3eXmb82JVpNciLYgao2qFcr7jmVo0GVLulwTl6trBhnaoNIEEktMLLFIrycPGIUpnbjTBAkhSWeO5HjJ0EeaSUrxbI3u8Ad9dkl6kOO2hkSracYp9cRgK6lospnMxp9bVimSNZg6YKqWeiNndq9HHAvVdbmvcINI2QGL6Znm0g5RTtNfKsLTTJiE8wFOQ9qCn1uOjzP+lydTaEUqGzXENPLg4yHb35Lve/bimHYcWFYD6oXicDeQzGXMZSoYHIj3wsUXoLrhyA9sJ36B7MKRHZfoxhGKhJAnKN+BrqkIwJQP2KVHrxtoHW6Q0A401VZKuJERrEwI7NozeqRY7lmqqe4MUqxMHZaR3rFnuWeoJ5qQClU3WUpr47OOex9h+ADWpaW816CMxzzLpF3YjGT35iKJbizKenqpY2e4JETFx5ubEnQyS7FrS3Gk8LmAqSLyidilZXXH44aAArPUuHG4ZkcqE8h3K6pBCqXlewe7vHRDTGYaZ5j2SsZpyXuDbS635cAwK01+omkmUUJuo2H0USC7DOTnAYKm3PmstwNIv9M7FNJQft6Snea4QWTrrZKQFqxvSKnejhTLu4Hhh5rNtyR01Ce2cwVKaG7X1PccPrOMdme8WJzyG6PI4Z/rkSx71FOo7tfcv33A4WzET08f8PhywrRYkxvHd+5vYf9yQ/1bW9z5xyfEQQ9OL1BOIsNwjugDqlcQvSeWlVCPTYIyuvsaL0quuWg/ldZC4Q4B020YSmviC7uoxZrEeew8RR2eQQzofo/YthCC2EqFQPKwpa81cdSn3RpQbuWUW/LG2lIQc5dJalE7sPQPA3YFxQlcAQnZTOit6amcTPpxgi3pTD5ELagqsXdrtvx1mi6AGjgYR9LU4b2Cj/pcxYjpVrIYTCXKypAFeHlF+96AyQeiB4lGMfpIkZ8YKb87JNwXmlBYdOMElK0sWI2uvCgYBxk+t+jGE4cZ5tyRHyzIUks7yih3EpKlsPpCosnOa4YeBk+hOFhBCKxeHMl16V+pFYWfEDt8IZrOVKXj4NsSes8iyqe4gVQVPkVAxSddpbZUuBScinzkJ3IteoFoA+m0oh5r1JNCnJ4KT/YsQTtpNZLdEoBmnsFao0YN5nFOfqrovZkSVUayKZ6BurE80XKttYcjJX9UgFGAZkxn5iK/k26EZ+N6GtfXZBdaotb/f/AT+FM9VCeTHHwcSReg2sDmO46Lz1lmL+SSIbgLo48cT3/WoisxEzl7NWH4KJAunESSrQPV+xn1WHwBs8Txayefp93wpDPL9B0hy1x8bcmT37jN3l94wrNmRGo9f3X3bf67t3+G4tBwnkzYPItS+vdTjBuh1hU4B0mCspbYy1GtQ2UZsZcT+zmuSIjpc2++ZmKv9dziY9f51nWijuUNy2C6J/6ILpLVDrVcyzXpNA3ESJgM8P2UZpxy8fmE5YsBXUF2IYuwHarrsJBgAR2ppwqfB9JzLa2Cidilot6WPlwFmW9f23FVAvyFToqrq87HEMBL7mHwimqRoUrD8FCRLj3NQIuX4cyQn0qKc7NhGP3+AFvH516DQP+wJh1YyqklXQayixazbgV/6aegn/syiPpPjFLNusXMSvCeOChoNgvsosGuW7ILRbIQJWi9kVJPM1SMpJct+nQGzjFwgYFSqLNL2vs3cX15X5SP4meolVQdWtqw5e2cqBTjByLvrqddLoOj8zpAWoUrAZSShGAVFbo0tJkEi1pEBKVyj+tZTC0TmOZcQk/yZxZbQu1zeoeyCS9vSdKUrSCZR3yhWN0OpLdWTIcrqtZeh6Q2rUWpKE5K3kirEGFnc8HFosetyYJJXhKi4ng1gP/yh6+/z8QmEL0QLS5fhumbgFHYpccVlnJXUHc3chQHS3oHG9Sbkfw8srwN6aWif+hI5g67qDG7PYgJl1+EX7z9Jh+Xmzz78DbLLzaczzMuv1aTVSn3/tJHvDx6xmE15v7GKWuf0Rz12PzpU9bHI85/xlGcTxi+dYrbHkLsYy9LYmrx/RS9bsHktKOsMyMVG27ohB0BkrnvGIfPve/k30XDkF4mmEVFyBPaUUq9PwbG+FxSipuhMNDq0XNPP9cXrb8tP2EmmcROM65IV53KrOE6mahdCn/BVJHswohF2qqzR0sVxUmLXTl8z1JvWNJLcSTWtRiGCsahCYnG9XRnbCkxbu1A0T/0bLwrphZt3zB+V5GuRG5tS4/PDPnjGf7dB6Q/+SoAduWxywblZBwaMiupzPpKpSdgbUhF1q1rB94KNlN1gaSVI6u9KP/mJbrpo+clqnVEa/C7E/wgFQm6j0L0Kq6kenRmneraEzAYTb2ZimlnKvoV5SE/lU3JFQoVZVP3hcKuhFgVkk7NOpDXNQ8ybNlNAHpG2sTOql472P49QztUZBeScZCdi5tQmYjbtHbCP2gHMqq1S0XzuM/hZkJatGwM17w4Enm5pgNx64JVk/K5jROJSNsIGBX5yvAxdUh4L9/lW5+y/j4Tm8CVLnvny0e4t3aJSnHxxQw3iOz9VsPHfy1h83WDm+SMHnnaU7lA2bm4qzajhPSyZfnikNk9Q7IUyeyvHX+ex6cTmEZ2fj1hfRMGk1LYhqZlZCv+yaPX+MWXX+fV4jF6s2a2KNCJJ55nnL2s8ek26VyAK9cbXt8wPs/RTcAuGznButNf+dD58Ef8oAv56+SgVw6+IcrJv7ibYZpcuAadUCkpw/UNKunK8fuiv1QQ23PTdCUsIv1NVnShKPHabopWNon8QiqQkCjUKnYhIzL3r8cKFRJsX8DMYGUc2Ywt6SXXVUvIZGMSn/+IqQKDpWwSugmYWhZmclkzeOgpb/YJqaYaGPKjmjDIWf/CTzD85x+gX9zD55Z2nHVad4cpWyEUWY3ugFRUl8GYatwkh+7n1rUTH0NxTccNEmwAn1ui6aHqrh3TGrNsSMqWUCQ0GzmmDagmdPN9+R66CWjdcSB6mvzMiUdl9tyYsR2IX2D2wBGsYr2TXLdC9USEOqZUuL60Dq4QIJfwXCDVTBS+c80qbwbWNxXNhic7kWVo11z7KYbu1jE1qNB5GJykeJdxqgecmG0RmHWemnG3Jl6mnJ0OUecJYaNFXyT8VvsqxbESj4hPeXwmNoEsaak3A6ezAXcelCQnS5qfymXMVTp8z6C8ITlZ4TNDOos0Y4stNdnM03/vnHZnyPKmoR1KyowfSiJte5mTRMkrKPc95t0xfq/mKy98h986vc/dnXO+fXmLy7bHX7r/Pr/x8D69QY35FwXLn1pz/Iqi/82C4SN/fdLbOuATRTPQ173klc98SOQmQNFJojsveHPtPXEd8GnK54ESwpMA3chJdZWqpNvnuYFXQhQAX4uwyucR1w/UXl7LrjrHmUqUgSGNXQCohGOYRj03C+14B7P7IrzxqfzMTV+yEK+qFymXFbYO5KetOAZbjc9lkfhug9BtJBbmumIYfrhgfWvA4sWCjW+eMLxYdr+/QblAsm4wFytYl2CteAIMc/SyJvQyrAtYH1Heo2on9G1jCL0ce8XqVApzGonrEj3sQ2JBa0JqZbRbe2hadOvIXEBVrUi+lSKM+/KztIGYSDvgM816VzgKV47BvktXjhpWuxnKS5l+VQGERKy9fef7r7v2z3amItp15h+dHV4zkalB1BpspB2LM7LPu0g489y3QDfq+j1PlpqQRNpeQAVxalJO3nP7ZoEKMh1RXlKXQ99DaVjdjuS3F5+6/j4Tm0DdiuDHP+mh3ZowKrCV6MlP/qU+G/tnZIsJiy9u0DsoMRdrTNXHVCnt0LB8eYpuIsVZwJaK/mFN1AkfPNxlsLtkVY+EiTcXQsv9W0ccNSMy4/jgeIut0YpfOfk89SolH9TkieP0Sw7ztKD/uUvKnZzRxzB4VNJMU1yhGXy8xvcTlvti1pHMHcmyoxy3Hnyg2R9TbSbUI5lomIrOW0BKzSsnGnEEVoQgf7/aTFy/0/RnndtvZ7VlGnFcDkUguTRiwqElsLXVUhEQFfWOw6z19Wajvdy4uoHyRiS9UIw/8sxeNGQXQn0dHHiCgWQZSOct7UBuEdMlCbcDQdttV7GEVLHeMjQjxeAgkF16lvsybm03cvLTiuKpJ6YJel0RJyOSgwsxamlawQC0JrYt8WCOVgp2NsHKqBUg6pSQaEzl0I0nZLLAw+6AajPBruRkFzLRVbWCVGOdS3GwCtNE0rlIjq/K/evpipXKKllIpaMCBKOvDUhMLSPIaITabithscq1ETLPldmH2IZJX6/c80i7ZsuhGo0ftSSpxzWGot+w++KCVZOyquT4T62nnzVk1tF6w7JOWa5yqjJBJ57+oKYsU9w8RRWORqXUO/55VoUNDMYldZXQ/06f/jPPyY+NPnX9fSY2AaLo//PHKeurKO5MdrhqCtWzEXpDU5yGLrCzK69GhnJbbKJ8LoyrwQcW8+2GF14653JdcHk6oDjR1FMJrFCt4oPXb/P47C71a2sUcHQ+wpWWje0Fy1VOYyXbffBYEZ9sEL6x5igW3P97Nf2jGW5rSDuS3nH4UcV6L2d2L6UZi/4hZGLpbZZiaunzrqTv5vjJTItByonpTn+Z8/tMenuh4mph5w0dOvXgtHjxeUXIFHapsUspiVUQbn562clbnQCExVP7fcEuPpXT3/XkuXorcrypSeby79lloJqI/13/oMb1rVQ4VlGPhe0WNdftUVSa7MLR+7jzHjcKfCQ/kFBV1XoBVIHQL/DTgRi2dEEgy/sjiqP6WiDk+kKtzjrrNjoN/JWPfsiMMCpTfV196TYSUmlhrowzfKpwhbpG/lXoVJ2dPbhPZQNOlrIpfF/Cz1WQCpJE/EmTTld0o8SuuvOJVHWxswBrt2UcnQwaXGcppkwkzlKiDUxuLNA6sDtY8qXxIRt2zUE94bItyIaOzDgO1mPOqx43+nP6tqH0CcW45aLusWgzCttiOyNGfSswawrsrUBhW1LjGCcVdTDcKS44qkd8s3eb2T+fcvtXKj74lOX3I20CSqn/AfjXgOMY46vdc1Mkd+AFxDzkF2OMF0rshv8b4F8F1sB/GGN8/Y/9Bk6xv3/Os8sdljcNG+/VNCPdRWdHio8Toopc3jdkFxmXPzbCp4reaaAZCtFIN4pmU27mdpozKx3zeQFdP9U70Cy/0NJ7kFDuB8w3LsiDZmuw4uKX9ljdCqidSHuR0c5TyD3zz9GdKop26nn/b2zI9ejctQnQe6ZkFtvdKPmp2IEPHplrM0ufR1SrsAuF9grVStl5dcp0KdKYqptVawmf9EMvMtelAQPYIA65GtpNJ262jQYVUVkgXt10lZGwve5nxGl01Zlb9jzJuMadFpiVkGVMLf71uhWSlV16mklynVsYjZBFlgAAIABJREFUtZifXMd0ORnXXpl9htwKvRow6wa1bIhFSuilkHfOTVZLr76uwWgIUj2ZVSNWbY3DlCm6za7bkOsMwSsbrxAxXoBWVXtU3YhmpONkhNx+f2qSVoRMRF5t3+AT4SW4vsHlYjl2DeANNC5Vf3SU9onx+pXngfTpV9/juaEHGEwbaYsetkswikaRLLtWUg2JSrGOY357cIe2p65zCXwK2Uyk5Nlly+FkR9or08nTu8CWy84X4Mp02dSR1sDFhmFxV9GOAnap+b0kMngEMVHUe5FnX8/hV3/48vtRK4G/A/y3wN/9xHN/E/iVGOPfVkr9ze7z/xzxHPxc9+cbiPHoN/7YV1eQWYfvB9xAc/LjGb4XUNs1wSlcm+GWwuZ6/HMZzX6DniVcfq3FnKa0Q1n8upLTU7vAfNHjpb0THnzrNs0koFtN+kwouHarJEbFepHx7M0xpgA/dVycD7jx4hmJDhycTpjemLGqUtanPcxS44ceXYn0Vnee/CpAuSna9qQLNHU9iQRvNiQyOw4dvtaoaPBKTqRoIu6lCm08SeLZLGpmqwLvNIOiYbnM6RUNznUacevJEoc1gRgVmXVM8pLaWzSRcVZiVaAwLQuXMbQ1J/WAy6qgsC1GB2pvKWzLzWLOL69fJjSyKelOfHIliVYBmbaYLlk4QLK0nwgB0ZTTpMsGSAjp83ALU+X4fEwzlM3vehEp2eTsakzbWf+340AyT8VluJVT1WedHXeE6yDYq5jzq5Qd91xHIcEoV6d0FOZ0d3rHzswU1YWyRJgvn+vqJdRUUpltKa1Y2yU7cf068Xkac5eveJ2HYHluTuqF8XeVBHxl6BoNaCe6l96zeN2OoUQcFlJpE30GptH4BJphRjbz1BNNsoq0A7kOthWjkGhk47lyDooRknWk/xTsBzB5b8HihR5VF36y9UbnqvUpjx9pE4gx/qZS6oUfePoXgJ/t/v4/Ab+ObAK/APzdKDXf7ymlJj/gO/hHHsrD+arH+G3Ljd+Zsbo7QDlDvFszKiqOn+0SzRVvGtQ8ga0aDfjNFg/QaJILCQO5+FxOuAg81JsoD71Tja7hxu83zF5MmSd9Kgt6v6J5saL3dk7ab+gXNacXQ/xpRswDp+0Ic5SSROGMp5dCnnG9KGaS/UB71dvrSNWV/Hbc4FstYRnOkBiPsxaXBUzuaBcJqtZkmZSPSsG6SWgqi0m67IQqoVzkTKZLkbc2iWTWR0XVWqrWUiQtfduwcikHyzFWB3Z6Cyqf8HQ55nzRJwTFdLRilNYs6ozjxYDDxZCdX0+6clZakGQFxbkjvWxRrWf2+f51epF2Mh67sh+vpopmQzYHFa8Wg/ghaCfz95AKCHZlIR5txOfSg9tSdQ7C6nriEW23aJVsDp/cPJ7fKNLOKXdVust1l1xC+XhlrX5lXkoS0JnHpg5rpVpazwr0XG790PfowtE4LfHdXn3/973+2L3u1ff4vp8rCqXDBpzTz7MSQvf1IHkZqcX1P0GU6nvswpBeqmv7cp+J8rQZCL5RTrtpzUgRrYwaQyKEJldwTfZCQ3EinIfFi32Chc231thZRSgS3NWk6oc8/jSYwO4nFvYzYLf7+z7w+BNf96R77vs2gU/mDiTDDf7lO9/jn6qfpt4q6D9e45M+Z2+POdgvMEYAnnYkdl3j9zXhQcHokYBay7sBNhr6N+fMPpqQnyp+/uvf4Z2LG5y822f6XckxcD3D4NDRP1LM71iqVYFddzdxpxQrejXLkWEwLlkvM9zIY8cNJmtZXxSgIR/W7AxXvDA6505xzjqkHFdDzqo+j8430DqQDRwXJ0NUZQgR7ELEPL5nyM8NpoRmNRTAcqmghX4L7QgOtwvsXDN+qljdTFkhfAiAOuN6HPhkcyJBLTOFXYIv4NlIwC1bQaaESXZZDJg7GUFpBWUP8p4symA7bz8TaQaGZiBWVFemo8E+B7tCx6wLWXc6dtdNO9Ar3bU2codfxWVdL0Z4nuvXCKBo18+/PiTx2l/Qrro25Dp+O4pEQkdi/kNGXR1mQACygE4CxnrS1GN0wGhJJopRYU2gl7X4LYUPmtYZXGtwQaGygM1blJJ74eqj3K/d7xUV3otEPUk8qXVCI/YGrSIRqGvRlcRuA9QdkavejyS9VlKCgyJNPG5gWI9k1tm80uKXFjO3mEZK+2iitHZOYZcdx6FTlEYDTYf/uN2GeWkYf8+y+UvPIEtFEl83VD9++/vGnT/4+DMBBmOMUV1dpR/9/1znDvQ3b8cPl1uEBA5+JqHZ0oze1bieJMwMHmnsKlIcw+xzkfKOIz22NBPRsE++p2jGOetBRm8p1OOn6wlPjyeMTuDZNwzFifi1Z7NIsgzkF4HpOy3RKh7+24qNXs1iWbA5WZJvOy4XBWGV0N9dUVcJ5UrKSJ16mspS5hYXNV8sDpj5Pl/tP+Jhvc2Hr9/GDzzthaG3FI8B1WEHwQi4lZ/ISVIcC9svncnsvhkIGSWZG7JLkVFn50rIPXNhr7meWHDZWsZ9ykFx4dBNpBkZmktF79TjcsFUopKSXjgAdNZn0Iy7kWJ1BZrF6/BQ7SKDJwHTRNqevj7tgxUdu6m5Hm2GhM5bX06hpiO4qIH47QFygjeCPdiVohlLZqSp1HXac+zSgFSXuhO7Ex4TwUSUCWgdSTJHljp86DAIHRjkNRt5ySQtmbc5jTe04bnHtlWBzDqs8lzUPawW+7W040SvXcqyyaidJbMO3d3KWkWREHefWyUt1bpNMDqwWayZZitcMCxdhiZitWfWCO3SBU3lLL2kpXKWQSJKvoBi3SaEqK6DZxdtToiKx3oDfWQxX5rjq5TbO+ccnI/xXuNUKteiNPirYJ4uu4DS0L+xonk6RrWOJ//6TcqdyL2/P6f/1jM+/uu3P3Ut/mk2gaOrMl8pdRM47p5/CnzyO97qnvvUR9TQsw26EQ57uNeQzIXf3qwts9da9EIQ+3SucBMRw2SnMi4rdxUul36wHUTGH8CHJ1uE0kq46YsV7bpg862GdmRwxRVTLGIWjlv/V87R16a0NxuePdxksj9nf3NGNV4Ro2J1UaAqw2BvwY3RgvN1wf5ozs9svM+vXb7MNFkxshW/d/oid3/sKQ+fbpE9sF2vJ/1mfh6oNgQMzC+DsM+89NLZPGDLgCsslPFaWbfetqRzRGsfOzPJq2RgJSBVshan3WgUtpLZs8t1Bxx1v2MdcbkQrJSH/CJQbilUd7LXE5ktJytIFgJy1RMpZ5vxc9/7YGXRZ+eiZNTu+ebyyfo4P4uEuZz20jJ0RCUvP3N+Bm1fk59HqqnBVsLWQ/NH4r+vEneu/h6Sbj7f4QEuhbMictSLklloA6rWJHMZjUYjVuBqu2Y4KFmucnyribUQhUzPMRyUTPtrRlnFrM7xUV3/Nhrk8y6CbZKV3OjPsUo8LuZNQWocm9mKk2qAleaUzDgSraicJXQt3Gax5rIqmOQlmXHM65z93oxbxQXvLqWQfrDYJVWwM1oy3qpIjaMcJpxdDrBj8RoMqcSzqa71UTaA06yO+6S9yLO/eov5F1uU01y8NqKejKleKz91/f1pNoF/DPwHwN/uPv6jTzz/nyml/h4CCM7+ODwAILmoOFqPOqNNaIYFyztK5qo9R9GvWfs+ZJ6GlM1vmmsa7GpfYrUsinoqFNLlbcPexoyH6wTXSxj9btGxuwQgFFZcxOWG/jtPOXvtnqgYT1P8xDHplRycjxn0KuFpB4mpem3nkNu9C9618obVIeGvbLxFFRMufY9xVrJsM/6Ln/xH/C37b7Dxy7lsXItI/6DBJ5mwAlce3WpOvyw9YnYpp30wYjUWUpltu0JuRQkhFWKKqSBaAR5DEiV3Xktsuu7cadxAEOJm6mHoiK0GL4aVodUsjjP8Vi3JQEsrqcEO2iGEu4J3MGiJQdEbl2gtJ+IwbbE6sKpTLquUZp2IIZOKxFajqm6un3Q5fF6hKi3XL3+eqWCPUnzP00wMzTiQLPQ1QKeb54Cr9nAdl36dBSh/gn5OvjJVR5w5Q4xgOiq168vCNaWCj3NW5HLH9wLkHrwiHmWsPs5Z6Q2CjddEKuhe/6qKDhATaDcc/e01g7xmUWa0rWFzvOLV6TPee7ZNDFpsxpFJjZ+lkg1RGc6TMarRHE5r0qylXOScLvpMBzs8OxuzPZ2Tnsj70XT6gJNyQNkkuE+8TlQRs9aEQqZOIQvoYQuNxXxhwflOgao0MQsc/0Uv+YqL5FPX3486IvxfERBwSyn1BPhbyOL/+0qp/xj4GPjF7st/CRkPfoCMCP+jP+n1/Tinn9ScjiVEtH8gzL+20sRcUT0eQt9DdSVSafGFmClchTb2n0TG70u5vHhBdsjNzSXz3DF71sPulHy822P8PhBh472SkGrCfMHiXgdOGdCF4/B39mluNSyCYjpeobaXDPOaabrGBc1XJk94f7nD6/M7HBUjPp8/47CZMLQ1P7PxAf/78Y/x1TuPefP+51Aeli/A2VdSAbRs5Pzr0N9YkSctRkfaLyuaqBgXFfv9GYn2zJqcJlhqb3FBU7YJ57M+g34l/ShQJI7GG2bLgjR1jIqKZZURqoR6laKs9MfDjRXzRcH2xoLTi6GASzoy2VxSTRKMCdRVgvea7ekCpSK5lZLb6MC8yghBM84qmVN3PfbGcI3VAa0io6yi9pZhUjFIam7mc6Z2RRsNx82QEDWTZM3Yrvnuco87xTlnzYA6WN443eP/Ye7NYm3b0vuu3xhj9nP1a/f77NPfc/u2XK5y2a4q48QJsp0EsBRZQRASQUIjIQwiQiE8wJOFBAjyBDg4TgBjBffguI1xNb5Vdes2dW53+mafs9vVN7OfY/Aw1tm3bOralo2lO16Ozt5rrb3mnGN84xvf928it2SUhFSVoiwcu1vXqxWYWcMZs6rGiye6hsIGDuPZ1imlXLVYzUdpMvb/QhmkMnTbS9JiRfBRmqqWFLmL61V0GwllrahqSbkSUwlce+afLgIcR7PVXFIbgTaCTpwSOBWxWzAtA3b7U8paEboldw/XOLc24ZHp4gcFjtLMThuYoKYuJaVwQBrqG00eb4TIueLkeJ1oYo9chzfXOZQWGuysp4iwRnm1FQjKbadKVNKiAlfOzAhbs1ATh+hQML9mEKXEe+D9wULmnyYIGGN+/GN+9YPf4bUG+Pf/JJ979h4B33q0y7n9Cm9SoJ0A/2bF3UsK58Rj7S2DKiXBoCTdkEwvuxQtK/e8dr0kXXNwE427UqfJ5oqHJz2k0hTjADxNVSi6LwwZdDrEDxxml0PiA9gcXQCg7NR21zEQvTrE0xKtJXnpcKE75oPHW3wp8/ne3Xu0yAhVScdNUGh+e/QssVNQGsmb8/P0/SVfengFc3WJ1hK9St2UY9uBT4pUnlPT8nJCpySr7aOojLQTUztIYYidAk9VZJ6LEIZ+mNBwcyptDVgL7aCkptYST9Vst2bUTUl/b3n2mraX8a7aJnAqnt09onUx4zBp0XRzDhYtpDD044TAKen4KQeLNodjizDrt5bEnm0xVkYyyUM2ojk78ZRCq7PzcuzY8+5uMEEbQaQKfFnSlUs23BnaCErjUCP4rtZ9AHxRcc4bci6wfrXHRYtY5biixpcVa+6cRR1wUjTxZUWN5HHaYZRHZwGq46Uklce0COgHS+ZFgGZVlMSev7URZ9+z6yfMClussPdRMS99HKFp+ymxU/Bo2SGvHDpBSqBKksqjHy1ZC5as+Yuz4FwaiRIGT1YoYWg6OaEqybVDvFfQ9RMityApvTM1JiEMnTAjqxzaQcZxq0G1COhtT9EGktkaVWhwNlIaUX52nblbE3gl61tLTpcxxghCrzwL1q6qma/ZupV4IaG4tYHfS4l/q4GbaMLTipsfs/4+EYjBKoQgKAmOS4p+yPSSQmhFc3tMedRlelnQemCtwfK2QGWG1tiQ9gR528GbG2pXkFxybTulY1jrzjm+tUb82EJijVKUUYDfNmQvpgRhwbTRZPxKg+ZNQdUU9C+MGRy3CD3bG2t6OS0vI6k8xKoA9c5wh/HiKs9tHvFa6wHTKqLpZhymbe6Pu5zvTADY7U7ZH3Z40p41taDUDtWK/imEoaoUVaiIvcJ2JpzybPI6QuOpimKVCTiipuFZB6CiVjRcS4ueFZKWl1NoRdPLWfcXLGsPT1Z4EiZFxGHSIvYKnu8c4ciaR0mHppvT9RMcWdtJXTmUWpFVLi0/48r5AaVWVEaSVS6RU1BoRbHyHdcIul6KFBpXaNa9OUpoaiNxZU1uHA6LDoEsaauUtkrYcqdEIudGvgNAz1mw5UzJjMegbHLOH3PZP6EwCo0kECXP+4858Zt8KznPhjvhkn/Kcdkm1w6zKqTlpEyqCEfWNN2cc9EEhaZGorA3P9cuae2Sa4fz4YgyUmdBRmEYVTHjKkIbgStqmm2LcqyMYlF5eLKm5WbWhq38SKHHlzWurPFkhStqi9kQVt247y+ZlgFSGIZLC9FMEx8pNY32FFfVXGyMkBjuv9eht33K0bxJcAqzpwxbnQWeqilr22Len/dIjxqoi4bt5pxJFtILE4ZpZHEtkxZF7vLs7hFp5ZINNOPMhV1B56ZhsftnPA78eQ/p1+y2p8yvnCPZkMgaFuc1MvFZ/1AzeEUwvSopmt4ZP92m71bYAQ3hWGPm1r5pHMJL/QN+46hDdCTxlvoMPjt+WlGUkqTyMe2KTn9Betyle35MK8gYlB3WwyU70ZQvPbpM3nB4cNhHKutRx3tNnATO/fUP+Wx4h6O6xT+9+WnSYcjW+RGH8yaxVzJOQopT+/BNUCNcW93WtQBte8llLskCj7FnG+6uW9MIcxxl7b7XoiWLwkcIQ+wW+KoirxxyHDxV4whN4JQ03JzZanKmtUtSeVRS0nYzzkUTFpXHovQtPFVWBKqiWFmVbQVzdvwJi9rnMG8DnBU6myrjRrLJXjimoXKGZUxlFBJDx01oqoxpFZJoDyU0kSwYVTGRynGp6DoWTjwom7w5O09WO3iyZlYGeLLCkZq3vPM0VE7fXXI1OKKvFnyY7xCIklpIHpY9NJKXoofEMmdYNbjgD5BoRnWD0ijW3AUvxfscl21cUZNoj1kVUBmXjpuw60/wZYlCr3wSXTLjoI1EiZo1d07bSdBGrrKQknEVMygb7PgTtt0Jrqg4rtqMy/ijeSsMSnwEwnH9mhpJz7PXXRrJvAioKkW+9FAnHlWgmXYDIrfkanTCujfnntjjSmuAq2oe+l1Mr6DhFsRujqdq3j3epvO7AcmGoPdswsmywWQW4aqawRubFFsl7W95NCaG69+/x9XLR3YjHa34I+99GxvsO4xPRBAA2+opI4G7MCSbAt2sUA9DnKzGSEUVWaMJJ7HFryeFIlmYM6inKmw7zkSavrvE8WuEhpPvsq46zYcWwGJShcwk4alkUrTgXMmFKKEyku9/+UN6XsJB2iZNfK7t3uPhUQ+OfLKmg1ivqRaSrpPwuOrwW9PnrZGHMhQrdN9wEeE5NU4/BSPwg5LYLwicilJL0sIlLx3SgwbC0dZrsJJUpSJVLs2wJvYK8tURwVvtNlIYlqXdmbaCGWvugtIo2iol0R7jMmJR+ySVZ9tOlU9pJOveghebj7mdbKCN5Ep8yjfH5xmmEVVTciEccNGdUxpl021iXj+9SNPLKbXir22/gysqHmVdcq24NVlnlgTEQcH51pitYM69ZI1c27bpmrc8c0RqqAxtBIvSpqo74ZSOl1IbwbQM+dbQ1gMuNkYEsmSiYpoy5cN0hxpJJAsWtU9pFAr7XNtOwv1sjUkZkdYuUmg+3XpAz1nyrcU55qt2XcdLCVaIp5OyxbBo0PcWSAyL2mdS2t0/dnJajt3909pl15+w5sxpq4RR1eBOtsGi9nFFffY6jaDUirT2SbVHXjvETs6oiJFCMytCKiM5mLXIExd14rHxhiFvScbHW4wc+JmXWnxqZx/tG77y+BLdKEW70O0uWJYeR/OmVYd+1KB/WFO7Djdu7yDDCp0rTrwGwVAQnnhsvLFELQu8RYv7nz2H3tO0PxQsziuWW+KPigGfjCCgtb2hZSRoHNUYIUk3HcLDldR2aSu8/sRQtK2GgDcDHNuGEomhjATJpqTxWFs5KCTiYYh27Hn/8nc/Zn/cwWiJW0nMfkS6WxPfd2h8/oTYzZkWIdfiE37u7qsspiHPXTik7y7RuUJtZ3z6/D4HC7tbbnsT3kou0neXvHLR/nyWBOSpi1SG5DRGhBUYQbl0WVQNW8SSBjyN9GqchcW0+62UONA4yqb8/WBJrAo0gnnpE6iKTX9Gw8m5JTdwZI02gvfn25xmDbp+wrPNIza8OWnmkdUOTmV9CGd1yKwI2fDmuEJzlMfsLzs8HHXJlh6zJODxok3DLViWHidjO/HqiYcoJcbT/JPct2ntpEFdSpi7OAvJtIZvdruoju06OF5NI8742vASQkC3P+el9UM8WVEZSaBKum7CuIxY9xIuBCOyyqXQikfLDhphe/qy4iBtMUgb7DSmbAUz7i7WztprfX/JMLc7csPJuTdb4+50DVfVNtMofLLCxXVqusEaoVOyrDwWhUdWuGw0FoROySQPmWU+jtIEToWr7JHim8PzKKnp+gnaCEZZTFY5xF5B27N6FE9IPJWRZLVLUSs6fspwZboKkJYuWltgkFgJvLhL6L+vUYVmkLd5/WWHulGTvdfh6CmH9oHhdNhk4mg48YkfS9YGBm+S4nUVopCopkYvXbLEw+kbOjexGgu+Q7yfcOlIcvdfiVh/e0m61WB2raZ56+O9yT8RQUAtJP1gyXKoCY8yMAE61rhLQRlLeu8Z0nWLYMv65oxVJrRlkNX+SpChttLVIpccZi2iA4GbaIIDh5vBFttbY7ZjK2v8oNljdLOHSuF01OTkxC5uX1W2kLpwcYRNH7sbc+aLkHEeURtB5FrUV1NlSKE5F00YZTFec8mjpIt3PaRzbEi2rBOxs1ypxbiWcw6soKBQTxxmXki/u+BKe0jHTTnJG7w/3mQ8j8jHASjDhfMD/uXt9+h4KZMi5OsnF6xRRikRjua9xpYtZCYu0jG0mgmTUQM5cMEIpq8EOFIzSkIWSYB+EBPMBVoEjE2bg+0Kfy2lGgR4I4W3QhjWniS9s24BQKEhmogzizI0eFOr8YiwTMiFiYgnFlsw3nb4QGk24gXHiyZZ6fB40WY4jSln/lkV/8LukJaf0XQy5lXA7919mmLm47VyWn6G9gUvtA54s97j1sk6y65HVjkMpg3O9SeWbpv6tOOU/VGPeu7aDkJYk/ZcdttTYqfAlTUfPOqRFbYjshxZ+LAONKpTEEc5cdfWZ8ZJyKNhhzJ3MLUt7EbNHN0UeNIiEQGbDZSuPabVDrPMZ5EEbHdnjOcRrTgjVT51YPAnJYE2uAdTTOSzlYTMDyKGL0L/uuHEa9A4KJjd823bO4PO7cpqJQrLE3AWktLxkYlEG5fah9PPaIxs0b6T4R5NkcbQvhXhPDghOGlQ+5LG4Z+RO/DnPVRh7M7nglGSKhA0Npa4yxa1a1l5QtuJZ6GnVr7KpDDrWOAPWCBL3lKYZslx0qKMofEoQxU+yZHH4cvrnHRb1CPfau5VgqID7t3A8rGDmttH6xaEUUNaubw53mM9XjI+bnH7zhbxWkKtJW8tzlNoh1gVzCofJTVb4YIXeof8WvUC2aZDcGLRgNY3/iME3ROCjF5ZWZtxyDgOeH2vYQuGE4/gyMHNIFyxdA8G2/zMU9a2ajENcfd9GmOxEquAPLLXJCTUUc3sqEv7jqS1X5G3JPebmwT9lGzh4Zx6NB7YAqsw9p66C4ds3CCaWwu3J0cuq2RkKHNBWQrchX1eekWQcVJWxCJLiHlCrpGlJc6c0Oek1UYOXWQuWPRs9hUlkHegig2HUYsD0+Ku1ydNPNSjgHAhqBoO992aWR6wf9CDXCHCinvpGmLgEZ5IHjVjy+WI7ZlQ3Qvwl5bjUPTAdAW3j9apE2eFNoJs4UElUVNl1YwqRSU9ZpnD9eMGTrNE1wIz8fAHagVzhrTt8XDDQzk11cqHwBQWH2Ecw7hVUM88nIniYepitGBqwOQKE2qKtqUXU7comy7BSUL3ek6y1UY7hsa+oAqtEKu7EDjLFVRZScqWh9AQHlqnJXdhVZBEDe5DxWIPjAhYG6eU6xHtuwWmGRMONdmGpHlv8bHr7xMRBNAwr3ySTYmTeqRrksVpjNySlPEKICLsg5CldSZKe5ZhlfetuUi6Zeg+MyT57TVE4nA0bxIOLKLNH5fWvVaDOQjAN6y/rhi9aCgbdiKrZkmdK8qxb0Etvo2caeVy/8E6amJ3DIDLnSHTMmR/3uF03GSrN6Ph5dwYbLDZnPNjr1g1t19/+AzzzMV1a9LHDbytBN+rWMwD+r0Fs0GTcmGrtmohqaeuJZRUKxaahtyyly3c9o417VCJRFY2OJ5BbMUT3wGBWtmgLc8bkh3rSyBySZ5acE8daibPr3rpRiByq0irCqvZXzY+MjkRhjPQEtjsRWhxRqUt2pxJnz2Riauf4PstuxahNHWoLV+gVbC8ZgVJhKsRAw/9OEKWgmQrR7nWgbroamu4svQ4SL0zpynjCxsMBGRr2hKWKgFakC185KWMyoDrVbT9klc2H/Pm0TkWtUBIWOvOqbUkrxRlx6EsFbqUFmNQrsBZqQO5BF+Tba+wCMqglhIz8CkDjVpKqw5ViBXt26L4VLOkDmpMJaAWlJMAHI2IasbXArypoQqC1X1qoDJNMDDM96ynZdZVlB3LPFK5IG9JnKVnJeGMFTORpaD/QYYsrFlr3nUZdhTppmD2XAdRG1ofTqzkvQFvCosLEXz9Oy+/T0YQWM2x+ECT9i0oRIYV2WdzfL8ke79jUWKeoVyvUFHFNPJpPFCoDKIDWHwh5W9e/n3+l1/4EYwwhF6JLqAOFfNdl3BcI+qVwk8ikbVFh2nPMgTNqW+5+GGNyBVCR6m8AAAgAElEQVTeekLolByNmzgDF3M+JXgvopy0eONuE//SnGaYo7XkaNSi31nQixOmuXUB/v7+bT6z/ZBl5ZFUHqdxyvdt3mVShiwrn91wwhv++bM+/iCNcaRmnIR4Tk1RKYrSIfRtepqXLq4WeKvWYlEodGXReEIZS5pZKQLXhUJ6NdFKJSktXEyhcBxNHBQ4myuhTmHISock88kTl7JcQXeVpii/jXBiPgZpsgIjuV5F6JcEXomvbL2iE6QsS49l4dH0c3xlVXLa/kpue9VOu9Nas+CcwuHcKpiOuyEXWmMWpc+i8On4KcHFklkRMMsDXFWzGc2ptK2+A7irbokjayKnwBWaZe3xVHRCvGuztUXp03BztJFURlLUtuVZaUltpG3FSo0SmqT0cFctulJbPMAs86lrSeSXFJXCdyuqFZmo6RdklcPVzoCsdvjmB5eI7rs2I+nY7k/eM2Rr0H1fEA5qknUr4LpyFKcKLDRblCsDFWPFXKrAIxrW5E3B+HmNSiVr39K4908wVYWzsw6iQdqXnL4qqJqGMu4RHZeW2VlYs56PG5+IIKAdQddL+OCcPNPk63SWjB51cDZq6vMZOlM0+glmBbiodyrmfoha2BvZ7yz4xcNXaN8vGP+AZqcx5cbOBuFIrlRbHRr3YfZMhTd2qF3ACLwxNB5pklSSrRnUVkJ+HFEkHtf3d3AeBLTvQf0wIphYumztCZbTNsfnbeW5loYk9Ehyjyx3idySm8tNxkXIzcEG7ShlNI/5texZ+nHCerjgzmKNp9snzFbEka24puuluN2aUBZnNuO1EShhcESNNpK0dlnWHrMiIClXRqbC4EhtrcEqh6JWNP2c2C1wRE1SeSSlR1Er8tIhyV3kCnde15K6kkjHINwKzy9RSlOWH00N82RjXwWDwC9phxlKWkWbhpufAWVCVaCNoOsmDMoGJ1mTUJVIYUhrl46bktYucTCj7y650hiQa4d5FdB2U/wVqSeSBYm2xU1/ZbuuQ8Gy9vFkRdtJGRYNzkUTGionrV1qLDiq5WS4omZR+wSy5HJ4So1gWkUooZGYs3/dVY//24fCkK0ojaV2zsBHi9pnVoX40qImKy3JtUvsWPDWcd5ilEfceLRJ46ZLfKTtTp5aJGMVQX6uYPSiw86X7BFqdgUa+7bOkq0bskqgUii7Nf7Uro1k09KIjQQ6Ja1LC2bv9emfRjCZoQ4HNIsKfz0G4zO7LDn9tMYfenRuamrf2qB93PhEBIEqhmkZ4n1+wORWD38kqWplq+jS8KmLD9mfd5glAek8QLqaeu5y4fIJD+5sEA3g8KSN3JwQGNC54rnWEY8OrrLcVMTHmvE1SRUZvFNrqZ13BflWibrvWr94A+1bMGxF1mhz4RA8VsSHhtHzVsEl3ZRWLXZq2YEAQSejHaeEK6ZY6JVshnMcWXOwaLPeXDDLLMb8XG9C0824EI14b7rN8/FjmtK2sUrjMKkjcm2PB1Jocm3bX4Go8GVJoj0Wtd35aiNt20x8VKBa1D5p7VEZecZoAz6CH6+ciUNVcpo1KLQir50zRp6raitjLQxpZb+HXi18/W3ZQOiUtDwLnpHC4K/al6WRUHs8Sjp0/WR1HRZT4MuKRe3TcjIuh0tcUVNjwTnTOiRUJZEsCGRpYcZS0FapXfwIlNBnTD1fViwq30pvARNtW4XbwZRcO5RGEciSi8HgDBsA0FYpHbVcXY+kRloIMPLsfibap1ylpk8CQG0kJYKGynFlTakVbSdlVMVIYb/zadVECs3to3WC90PCgQWwCW0IBpY4JQxMS48qNiy2FbK0LNG8gxXWWbkceVNB1Vq5cPvfpjOwMJilw1NXBnzjh2KMWCc+7n7EhYkk3sKw/pZh/IyiCg15S5B3/yAn4g+PT0QQkF5NpSXP9k945Bc8POzhC4PXKDBGsOHbosbYi7iz9BGPAhrXpkRuwfr5MQc/1EYNPA5Nl8vGgJYooWnfzUg3PcLjAq18Zhcl4an1mqt9kIki3a6pA0XV0LgLgVpKqtAaobpLWG4L2E2oaoEuFGLhEL0w5KnmlFEW0Qss3NaTFfuLLqFTMsojYqdgI15wmsSEbkVnY8Rf2PiQ0igepH2S0uON2UWeik7oOQtcUXM3XQds22vbnVgzDFETiBWCUWZEsiDXLvM6sL+TJVJoSqNwZU1DWSThk13xyQKYlCHzMsCXtt3YcRPS2iNfIQDdVcB4Aodd9z+qJus/BDwPVUm8+jtSmDNknitrXFEzKiIuhkOaKuNh3qPvLuk5C47LNrMqwPcscCepI1xZUZUSKQynRZNQFTScnDVnQVstSbRPjaQpUwaqRWkUXWfJoGzSd5dsulMS7TOtwzNwUq5dIplz0RtwK9+y7WejLKpvFVgV+iwDUELjimp13yyyU63uKUBp7PuRsKh8cu3irtq0/rdlEk+wEFXDkPWeWMqbMxenrCcJTwyT5wzzC4L2HdvqXp4zlFsFrbft+5v7mrJt1Z/Nyga+DiDZhnjTOktf3T7lzgt7ZH2XdHOln1jY2kXjoaD/rpVdzzrWytyffMIzAYAbg40zya/NjSnDSYNee8l0GfJb967hOJbk4voVRdtBf6PDB5didveGXL548tFZutUj7i95mPYYP213zfDYtui2vpZz8poPTy3gnQaisqw17VsJ6OGr4PYySF28icBJDcXn55iHDYJTa/4YDGFc9EmvuKw1ltwZ9WmFGd3A9o8Xhc+n1x4QqpIf7LxPYRSlcTgsOzzOO2x5M/72+u/x7x79DaZBwLv1zhmC7iRpnjnGtLxNxllkMQNOQezkXAlO2XHHLMXKkltUNJUFrzzJImohV5PdQWN3xF1vTBAWZwi7nlpyPTmHFJqWk9J1Exoq+wMQ2ifQ22/PAPRKHvlJhvEkADxBzj2BPO9FY64GxwBM65CmsujDRNtJ/iRoJNqj6yzPgl6ifRoqY1qHjKoYV9gFZndkyZozQ62CWqI8AlHSVCkdlRDJnFEdn6H+SuMwrBvcSje4GAzpOitbdu0jEZQoMuOijUSusimFYd2Zs9Q+TZkyrS0WoUaQa5eGylhzJKMqpu3Ye9aUGTWSpPZIPZe99TEHjmY+CAmOHIKhpVrXoVUP8jOI9yWL85rZJdv2K7s1YuEwe7ayxwZfWUZpbIvWjgtZH+pzGc0w4413rhI+Uqw9tKl+trYSfykhX6/J16B526H/XoEvBM19awP3ceMTEQSMESxGEZQSp1UwfGeDS5/e53xjzF2vz4O3d4iujWl0co6P26iFpGhbqurRexvUvRK0wBm4XJjlGANXolO+tinYeLNEpSXeTKFdQXykUV9urBRybO/O+NYBuejWSGmI2xnLPYWTOGTHMSbSlG2rg5d3rBjlchiRZS6+X1LWNq1WQtPwci5bA0B+5uB7eLZ1xGead3BFxZoz51a6ydvZeS51h8zLgEJXjLOQtp+RVw6LwmechByrBq0gZy8as+nOeJj3uJVukBmHprT4hKbK2HImdKQttpVGEcmSpqg4rkOGOsalpqMsJPakTohlzlOr3dMeNUr23CFbzhxtBA+rLgdld7UDPzkK2HT5yXiSIj/hCpRGkemPjg/n/RFL7XNYdMhWWcvDvMey9rkQDLmXr9NWKZl2acqMUikimTOtIxZ1QCQLtJGUxmGuA7SR7HlDmjLl8eq77biWdHQ72wJgxxsTycKyOVeB5O35Hl8/PM+rWyGb/pxREfOFzodn12EJTfJsx9dGMq9DpnVIqRTjKj7b5ed1QNdZsuGOzzIJhbHHmSoi0R7nwxGxKjjfGJPvOLy7vcXiZgd3Lihjm+bXnk3rg1ObaYoK8g0Q3QLnYYBxrCS9Wlm4adcKy4oagvdD9OOAzdJQNqwztXagdccyJrVjaDxQuKmhiM1KUFUQnNbk/T8febH//0YucYYuRsCLzz3m+v5V7g96LEqPrHSoG5rxSRMZ1HT7CybzDrQLXK9GNyWeU6OuN2jsG7yDGWUZ8cb4AmvvVgSDDCMFTlKDMQQrIw1ZgT9QVllnIVlcsKo2+SikqAXN3Rkz2aS1NScvHMo0RiEwxpz58+lCkWQOUho8VbMVz7jSGNBRCa6w5+SGk1Mah38+fNEqylQeUhiuNAa0nZRB2eCuWONw3qIXJlxsDvlWvUNVK3xVcX2ywwOvxwvNA8ZlxFHeJnftwhrIJiOnQVst6TsLttSMyw6EIrK1hqqivYLNzo3DqGiQGZfLzpTPRbcA+FJyjaOqjV4R5+c65AvRLe5WPVxqDqouhXEIREFLZQSiZKn9VaDw2HYn9J0Fd/ONs51doc8W0LPhAU2ZsV/2GJRNaiN5NXqAFJpR1eCw7DCv7ULvOktaMqUwir6ynxnIEleW3Mi2WXPm1EjmOmCUNVBC03MWzHXA9eU5HKk5zFr0vIQ1d8GmP+NSb8Qz8TF3knV8VXEz26bnLJFCM60ijosWae3SdDIaKudR1uFafML9bI2Gyrk+3SGrXa42T3mY93k/2aHQDpfCU24ut+i4CYdZm5abcZB1mFeWkVgZyfnOhPxTC/LKCrw+HHWZDEL8U4U7swt7+nLB+vYUKQwnUw+1tNwZlVs3I1FDsmN9JMNTQxkDRhAObRsxXRckW4LmvlVBbjwuENrQWhQYRzJ4KWaxF5C3P+mZgGPoPDdk+ftr3Pn5p6iv1tSDkMNBaAEwQX0mIDlfhJhGTRgXpNOAYN8j79eIl+bMnSZVtM7ljYdIoZnvOSw3GxQtu3s7icFdGsJRjUo1/esVed9jetmxqkaPFdHnBgwO2swPmiAtp8H3KqrNDPMopA6s5p0zVVTS0NxYoLXk8aMeB04XfVlwLTjipw8+x2AR8+mu4Yp7wm44YVJGnKYNLgYDHudd3hhfIHBK7o16pInPbBnQ9lPmaYDnVNw5WkcqjeNYrsBnG3eY1BHTOqKtUt6enWPNX/J8/Jik8GkGGV/LFZ/xl5zWgqGO+Hq2SV8tqBE85z/mVrHFbybX+GuNW/z8/BpfHV/hR9be4WVvCMBPTS7xldlTdBxbzLvknzCuYiDmS9MNAL6/fQNflrjCVu1rI9l0pwBk2lbpL3g2GEo0GslFb8BFbwDA54Jjrhctvjy7xtvDc/hOxfOdQxoqIzP2PJ9on5ejBwDcL9bZ80cEsuD9bJeeWvJibGUsFYYawWlgA8yB36VGcsU74ahqczEYsOHMaKoMV1Qk2qetEpoqZcuZsubOSVaeX2pV6Hx7eo5rDSuUdT4e8+t3n2V/0uFHL77LxWDAuIp5nHd5pfmQD5Y7rPkLdv0xgahItHfG4xgV8VmRNlQl/WBJsaVYlD774w7LgwYIWH5lncYjQ7NnxWJUZgBB0bK4j9rTeKWgDsTK98GqP4nKHhfyDszPC8ITw3LbpXNzSR04JNtWxEbWEA3+DIjBj/Ec+K+BHwUK4A7wbxljJitF4g+AG6u3v26M+bt/3N+QjtWA43sGLL6+Zv3Wr00pr7cRWpCdWyFTcrvwEJAdxrhziTeF/rtw9D0x3gszxKcKPFWzHix4d9egz2esdecMr69TNWt++NPv8M9vPUvzqxEqd4lOa5Y7huYDqwFY/doa3ucXmDsxqhAsBz3qYCV4uZPBqvsgHEOnu2S3bYUkpoEtlEVOSWkUsVNw+2SLXxIvoi8Ibsw3OU1idhtT/tu3/gJXt0+QwrDuLPjpV36aLyXX+IfvfJGk8jjfHfPBjXPgaZyBi3xqStdJmNQRF70BvzB6jWEe0/eXeLIiECWjOuaXxq/Zyn/1iKZKCUTJ46LL+XjI+9kuz3jHjKoGmXH4xcVTPBc8pu5JpnXM76QX2HIsDTpWOW9PzvFfXPgVvpFeZlTFzKuAYR4hheF6sscz4SFKYKvpRtFRS5oyY65tHeb7gjGR8BjrjP97eYl5HfJc8IjLzpR/cPgXOU5bVEbydOeElpMSqpJAlFz2TrhbbNBRtrtQG8lnwzu4QnO3XKMpM5oqZa4D5jqkpxbsqgV9mVMj+FxwyoPKZUcVRDJnXSa8X2wRyZzSKBoqY88dcsUdI4FT7TOpI0oUCsNJ1aTn2ILjadXkkn/KxtNz/s8HL/P7g0tcbg7peTbb+WC5w6QMuRKfcjvZYFmtdCiFPiNtuaJmXgecFk1ef3wBIWB5EiPjkrXLI06P2rgLGL5okZjNe1ZJSmWQnqtAOIQn0orBCgiGGm+pSdYsOCg8MYQnhmBUM3rOxZ8a5hcjwkG58jTQtN4+ptr4eAci8cQN5o8IAp8HFlgZ8SdB4IeA3zHGVEKInwQwxvy9VRD41Sev+5OO4NyeufwP/7ZV6XVqJu/1qfolLz71iHffuYDsF1aOaRLgt3LyhY9YKIxnVWaifUXeNahcUDY1YjPnwuaQ/a/vWmVcBTrQ+McOnVs2Is4u2gBiHEBDumnwn52yOG4gghp17FE1a9ofOjipYXaJlU8cxAeG+QXgUkK1splmJTmNa1jbmPHaxj5XoxP+n8E19icdfvaVn+Lfu/XjzH9uh9HL2lpGrec0GhkXumPeffcCqpvT7yx4tnfMm0fnmA1i4l7KZmvO0+0TXor3eVT0+HC+SdvNiJ2cZeWf9ecHRYO8dii04kI04mIw5GHe40c7b/Gzw8+S1w7jIuTz/VtEsuBOtsFL0T6fCx7w9x/9KG88PE81DDCe5ie/+HP8a/GYO1XKz4w/yzlvxEVvwP1ijY5K2HKmzHRAaWwt5G6+gRSanlrwF6P71MDtssX9co3aSDoqITMuB2WHT4f36MiUq65BIimp+XLW5XHZA2wxcc8dUazO6s/4h4zqBpM6Ys+1Gcv9cp2l9rnontKSNoPYceYcVE3ey3fpqIRAlDzlnXC/7OGJmkjm7Jd9YpnTUwtaIscVmswolsajNIqmzLie7fHOco8X4sccFh16zpI72Tq/9eBpPr3z0GoSaMWkiii14tZ0nY1ofgZWSiqbWcyLgMfTNlnqUc9dnJlVxgpPDOGgRlaG4fPuyvIMlhdrGvcU0ZEmXZcsz2nCY0l8aBGWyx1JdGyl6tyZFXFxTqaY0KfcaCAqw+nLEd7citR2bhf4hzMWT3eZ7zp86x/+xDeNMd/1h9ffH5sJfCfPAWPMb3zbf18HfuxPvuT/v8OdG/ham+WWZrme8+Jn7/LO+xc4WdoKfp0qaqdGeJoidS2ks1Nafn7qkHetLZWsoPeuYD4PGTdDtG/18npvSZIdx+roRQJvYei/VxMeZZx+KmbyQmX17b7Vgd0CMXHZ+Kbh+LslnR85YFl4VHd6VLs5JnHQnqLsVYhhgDu2lmKmWeGGVq56mXm8fnCRr/3OqxSfn/HDl9/j56bfRVY5OInBuJrgyCVtKpYi4ItXbxK9UvDu8TbH+12udgZ0o5R53rK2VeGck6zB7xZPo43glfYjGirjdwbPnJ03X2gf8K+vf5X/6egL9P0lqfaY1wGRspNl3ZvzwXyL9WBBTy1QwlBpybqa8b9PP8X1X3oWvaF57TO3kcIwr0N+cmiLbs+GB7ii4p30PHfTNZ6Ojtlxx2yoORMd8bDs88FyG20Em/6MR0X/jP6b1h6zyqfQDrvBhOeiA97Ld2nKlC8lMaMq5pw34hn/gKafcb9YY0rIV+dXea3xgECU/OLkUzRUzsvRA+Y6JDPuKvNIyYzLjXSHw6LNleCEUR2T1D73szU+Fd/ner5LICwOY13N6asFD8s+76bn6DpLnvEP6MiUSR1xVHXoqwVNlfJXu2/SkSmnbpP3s11ejB5R7Sl+7/FlDppt1sMFUmgOkzaHX9vm8FoL+X7DciZKzkRVwwzM1kojMrc259FpRRkrytAWCZ0EZpcE/qndzLyZJcUFA4nK7Oc19lPiwxVRK1I4qULNM8gLzHCM4+5S9iL8mSY6qSgbinv/Buz9sy7+oCDr/PkiBv8W1o7sybgkhHgLmAH/uTHmS3/cB9SBYP2dkvSRonEguPOpK7RKUP9iDfd5Sd4CfS/GrJWIzOLGpTLUmQK5EsYU0HhhwDLzKFOPonL4ge+7zrujLcajDbwphKeGk8+XqIlD9z3Jo7/s0bwJKIOaKfK9gmcvHXDzcIPwRKJDl/3jrtW66xRsbkwZjJuUjosMK4KwQJ3TmNRG/ip3MKlDuJZQVorivIYHDX6heJkrmwNe6h9w+O8sWf7KZZJzmn/11Tf5+bdf437W529tfom/8+G/SXd7xgfDDeL/uYPzGUm66HDdCPpxgpKa0TLiYNGmqBXLzMN3K17deEyuHf630+/hxmCD79+9w5uDPR6FHU6WDR71uixrb6WQ6/BzR59mPVjwV/tvcSPf4cvDKyxfyIgaOW892MPUguebh7w12eP6/g5fvGqLiOMi5Ls6D7m+2OXr04s82zhiVgWMypjaCHpewnAlunF7uc7Boo3vVDTdfKXMu8V+2uVz3Tv86uBlTpImLT/jutzhl/QrXIyHvNZ4gMIwyBv8avoSr7QfWWxF1sOVlW2DGkmkco7yNqn2kBgmZcjt5TqvtB5xNTjmXr6OFJpvzC+doSkfeGtM6xB/1XoclE1+O38egK5rMQa/fPwyz7cP+d7GTf7F/Dm0sSChw2KbVxsP+H11gduH67QvplyIppwPxxzN9kgOIsLcCsGGA+tarVd9fkvC+kitefCii5PA2rcyRs/6VBGsvVvz+F+C4FBRRpYn4y5sHUsVhmzDx53XOMuSsqGYXg5Z7EVUYRdvJtj4Zo47y3GXLlUoqV3Btf8hI92OOf5MxAoG8R3HnykICCH+PlAB/+vqR4fAeWPMUAjxKeAXhRDPG2Nm3+G9Z+YjTrvLyasu7Xua01cC4kONKq0/W2PfYKRL6x4s594ZcUWfhLgG8s16ZcctGAyauI98vEKQXBa8fnCBPHdQtSDZ0YhK4p64cClhsiNw74e88mPvsr/osvncnG987Rof3N4FDaNnHOIHAlmEFB2on15yfNrGvx3QeWSY/aXcus6YjzTsjBaohSQrY2QmrQpsIRAPQ9rnU37v/3qV4mrK0z98H0/WNJycH3v1m/zGw2f47QfXoBZc7Izoeilf+Rs+9eOY7ruC4mnDWrjg7f1z1KnDxEB8y6OODeP1mml3yFceXkK826ToaH6zeAatBbFbMJ5HLNseN4frRF5JXjksM4/3l9vIpw2HaYurzVM+98pdfuqb30vnDZ/5Zc2v/PdfYPSaxl1LeX+8yZX2kPuTHm/dumB9BBzNzY4FN0VeSS9MSCqPB9PemVCpq2oGi5i7ww3EUmGiGq9ZkFQe79/fweSSeD2xIqenAe+vb5Fe8ThMW+S1w53H68x3AzajGR+ONnlX2WzDmn1IkswnCnI2G4szP4DTtMHznSNy7XAvWePuvE9WOVxqjZhVAR+Mt3iqfcqlaMCsCnh3ssOs8NmMFlxpnPJS+zFfG17kzdEe/WDJ0dK6V29GM47zJq9tPOa39p/nGzcv4T1TU2hFdGyQlWX0WQ8GK5lXtMSZb2F4qsk7dmdv3dOW8dp1aRzUGCk4+S6J8SqMowiHmiqWOIkhHFntgejmEFFWFOd6Z/Zj3kwQDMFdao4+49O54xIMSmpfEs0Kkr0Yb1LhzRR8fF3wj68JrBbsRf7QWV8I8TeBvwP8oDEm+Zj3/S7wnxhj3vijPj9a3zNP/fhPoDJrGy20henO9xQqN+QdG1UxnN3UKrROOE9MPIUGf2zVhwCQkLyYEjVyxJc71kHHhbJpCAaC5a7GRDVhNyU7iGlfmNKLE+7d2Ka5OyO73kE8vaDbTDi+u4bMLLBIlpDvlnTXrSrveNiEqUt0aB2Gsg3rGhMeKtLdGpolprac/yu7p9z/5jncqUC/PKeuFFXq2A5HV4MyBIeKKjaUG6U1I/UMF68c0/Ry9icdlu91MRdT6tOA3nXB7Cpc/cwDbrx1HmcpKHsaYiszvrs35OC4w1954Vv88lc/hczsJCx2S5q9JXUtSU5i1MJ6PGjXsP3VmvDX30Ze2uPD/3ANUQh0p6TZTZgfNBG1gCdOyU+eX5RTVYp0GuCeuGjXoANbr3Fn4kz/H2FT2/YXjzg86eDd9wlO7e/ynrF07qjCVBI3KtC1slqRhx0oJW47h3sR/kRQNA1V06Cb1Zm0uYlr3LjgwvqYpptx43TDqj4NfcLzc4pC0YhyfLei4RUWFagV89y3st6VQilN6JVUtWS7ZQVSb9zZQS4V7s6Si2sjpnnAybBF3MhYPG7Rfl+tXJ2tgYy7tJ6DbmKIjkuSTRdZWlUhJ7cdKqEN3qxCK0EVK46+RyFz+wzqwNC6LVfuS9C9URI9mFKux5QNyxAtmpLFjiIYGfxZTd5S5F1BMNQMXgV3Ibn0Tw/JLvYI3rrH8nNX+fIv/6ffsSbwpwoCQoi/DPw3wBeMMaff9rp1YGSMqYUQl4EvAS8aY0Z/1OfH/T3z7F/5jwhHNXlb4qQGf1whS83sUkAwrkn7VnlI6JWLq/9t/m3BisNeWdGRYCCITqxBh9DgZNraaZeGwYs+3swwvyioA2sYqiONM1V4V2f82898hX98+7MsE59qGCBTSxk1zerM71C7qyNIs+LK3gm3b22fOWSIUmLiCjFzWXtLsNy2kzzbrtn+XWte+o/+3n9HjeBWscn3hft88cv/AWI/xLm8QH/YoIoNulMhltZbse5U9DZmLFOfsnD4689/k883b/BmcpHfG1wF4O7r59l4U59RrIWB6WVJ0dGce+mIo9e3cefWvSjvCKrYULQNzbuS2XMl134q47/6P/4Rd4sNXl9c4SfWf5fawC8tXuCf7b/GybjJ2i+G1J5gdlmQ7RWWbTmwTE53AemGdQ16Al+1KLaPdsMnLtP+ULA8p60PYFyhHgZWS2Kl+182Nc5yVecpLMuz6GrqXoVz6uLOxRmUNr+UE7UyloOI7taM6SzC9Sq2OnMe7K/hHbnIUlBcTTEjj+6lMaNBk7X1OfPEZ6O9OGOBDicNuB/hzgXJuQpRSpxU0PlwZdbqwHg65QUAACAASURBVPwCuE/PyPabyFxYqHluYehGQHRswT2tBxXBScrsaoOiKShjqy3hzzSyMqR9hRGQbNtNq/YN8YE10skvZUTvW9qxN7cbWxXaa5a1OTNpdZeG+CjHPZxR92LSrQAjBMstyfhl6z69+489ZKlRScVvf/Uf/OkKgx/jOfCfAT7wm9aJ/KwV+HngvxRClNgE5O/+cQHgySibguWOQzgwaCWIjmob9bSNoNFphRGComVFR+LDemWLZXurAHlXEJ7a4DDfsw/HXRiGLwu677tkPRuls76gijXeRIIQ+HcltQ/zXsTPP3oV8Wtd/L80RQ5jLv+TQ6avbnD0OQeVC5ylIF8zyF5BvXC4fX/TYhgqgUok7kKShTWinzP4AYE68rnyszO4foNH//F38/kfe5P/8f9l7r2DdcvS+rxnr7Xzl7/znRxuTt23+3b3THfP9ORhJMIwBBmQSiUhBGWMLSOrhKtsKJclF2VTWGBJZUqUGYHEgEQQIISBGWammdRMx7kd7u2bw7knhy+Hnfde/mN9fQarpoGCsqt31f3jnpz22mu97+99nvaH+IHWV1i1OsQK8qENsynZocfDH1jXfLk/WSZaTHG3LNzrFkmtRTGrEMB/2Hkfv1Z5D1YjoigEpxcO+dhfe5U/zh5n+YsJdntCuFxh/hW9eG5486y9kFHYBmFTUtpReN0Mdz/k5g97nP5Uys6P51yyYSdL+Wu1q+QKbqcNgtzRQzbbWq2V1LQjz9639BN8NsPwc6rzfcJhiWzbx3D1IqnsAgoDEQissT6yyUhr4hBg9k3ySIM9QJG5irSu3y+fIrmcjq6Sm/MBeWjhdnT/PG6pIyPwpOthxIJ+t4yKJHFh8aDtYeRT61EA4k2PcDmn96CBUUD/cAajgF6nQr5YsBdakBrM3oRgHsyhJKvmpDaEsya1ezmZa+DtC7w3K7QGBftPaeCIGehFIq3rwbT6nRxvY4SRpECZsGVgj/QiODwuKe0WVB8kpGWJPRZ0LhooE2r3NPfCftXVO9uBXgAKU6vdMKB1JcffGCFGIWoSQKEwKiUoFHY/wxzEuF0bcKlsOVijhKhl/9UYg2/jHPjFt3nb3wZ++8/7mP/5JZMC/6BAxgZeu9DqqLrFZM6ksKF+OyFumoyX5JGJ1SgE9dshWckkaphkrrbhmhEYue6bWuOMYNHBfhXiml4A4rqhizQWxM0ChO7Lvu8jV/nqgxN0vrSI/+1t3jW7zed3y9z738pkaYIBFIbi4+dfZzusc28ww0F3BmJ0q1IZWMcm1MsB+/t1SuWI9HKDlQ9tkr7LYLd/nmgSsRdWMEXBXlZjVHj84MsfZ+FYh8XSkBsH89z/7AlQEC/nYComZxOySoyUBY5QjDs+1oFFad0kHpXImyn3n1/j9toczkMjNk6bmDebLH0lRiQ59U5EUtVoJmVocQuAtzkkXqiw8mnBvR8xuPbUL/PPOo9gGTk/XH+dy0kNaRS8v3yT30of49RvTuifKzN8T4hhQLU2oWTrYa+135AEs3MstjNkmJLUTOKaIGxJ0uoU7vqWRXgKQbEGgsr61/VphWmQliXhLCQNWP5CQVIRBPNg9wXu3fJUxaZIKl//GKLtYE7QdYpc6prRlEuZVqdEJx/cAwjPpxhdm8p98XVjsgHlTcF4Lmd5uc/hzqLO6wcGhpJ4BwZ2X2lsXSEJ5PTo2Ykpb/jkNtgjhZFD3FKE80q39XwLub1P409icnuV3NJ/Z7kDlfWQ9qM+Xlc/yetvjEEI0qaP11ZThqbe5otcUt6YMFn2yDwDpxOjbJN0oYYcuihLMjleZrIgMENo3Miw2gEicfE3RrSfqGOFimBOwrPf+P77Cx0H/r++ys1V9dDH/xFuV2vERFyQ1E2dn5YgYoU9TKFQHD5RYryqt7vWUPdc38Jg+QcpRq5Q5ltcAgMZaaxTVDcYH4PWu/YZfGGBj33fS/zBzYuw6ZG7irO/OsG4chuxOM/Ov/D48Quf5k60wCe/+iHMoUSGBtYI4ulxI/MhLSmyRkZrecCxWpdB4rE/KjPerCIDQV4qcHclcUsXCIuliMrLHoNHE+a+bNH4jcvc+tnHUFbByh8JDh7XsIjeOUl8LqRIJM62zuRnHqjFiFI5wgCS1CQ+0GPPdjUmmdhUX7cJFxX5coRSBuLAZukrBeGMJGoZhHMFzSsGzTeGtJ+o8i0/+hzfWn2dBRnwcrTK9WiJE84h9+NZLCOnl/osOAPiwuKXP/MRWq8qkopOrpX2Ci2DmbWIGoZ2DU65iYaaGozdrx8PzGDqOYynW2AFtfsFwawgrWjMWFZSiLkIaeYYb1a0ldgAa2LgtnWRDCBsaPiJM9ALTFrSUXAZT61DSi/y1lgvPuMVA39PESzpz9u4mZN5Qg/v+FoFfvi4PnbNfdlkvKK9jG+JYp2pOzJqCApLp/Zq6xlmkDNcs3FGBZN5yWRFYQ0Navc1d0ImCu8gIZrV3aPKl27T/sQ5ylsJZpAhXr5O/vRDDE94WEFB9WqHeKVG94KD1y50V2GY4986pPBd8ppL7kiiGROjgPJGgOhPKOolCluSOxIZ6WN055EyrVd6jE/VqHzlDps/cI5r/+wb5wTeEYtA9dy8mvmf/zusezomLDJDF8oMhSrnVJoTzM/UKSyD4ekCd3lM2PMwEu2wc/c0uy13FTKcij5LCn/PIFjQNCKvEXJ6tk2YWdRsTYVdvzdH5ZbF8s+/hmjUufaTS/z1i2/y8cbrnLHaBMrkJzc+wRtXjyPqCZWynvCruDHDyGFyv0bhFtjNiKTn0lrp096t4a1bR5Tk3NM4NHNiYD3Z45cu/TL/6+bHOfznJ9l9RlA60+d3Hv8k23mZn7j1NzhTP+S5e6coCuOI2HOq2aZixdSs8GhCcJI53OzPUXdD1ko9Xtg9Rr9Xot6Y0O+XkGbBcqvPufo+3zfzEn/Yv8QT5QfspHV+4Y0PYNkZ71u9Ty/xeLL+gD8+OMeZ6iEnvUOa5hiBJhU9bO/wleAsT/t3+IPhY/zWncf078yPmPECHq1t00lLOCLjpHfIgjngerREkNtHY7auSMmVIFYmUWFxyj2gUAafbT/EI7WdownCUe6yaPc5SKvkStCyRmzEM7SsEcfsNm+GK1wZLHG322IycSl6NkZqoGyFOdA4rszTgzpxq8Db1XWFYEl7J2Skn8TKVNg9/brStmK8ppFpItZwTxkqba8O9Q4lnNFP2ULq1p090g8ea5QTzUhEBp2HDeyRcbQryTx9bi9vF5T2YoxM0b3g0bgR0rvg4XYLzKjAXx9y8EwTCph9pU+4XCaYMylMfeavPAg1UNeSRC0bmWiaNgIowBpnmMMII8koSg5Z2cYcxYgog71DosdPUFiC8bLJq5/8sXfuIjBzYVad/Zc/SMMNyQpB0wkYZw7z7khTaMyYNzpLKGXwE2f+kKBw2Eyb+CJhwRxwL5nld7cukRcCz0qp2RHznu5Kvry3xvF6l2t7C/yNM68zzDxMkXPKPeQLnbNcef40ha1wDwSLL0S0L7r8xI/+OwoluBquEOYWh0mZU74m4FwdLnG81Dkaq3VEyv3JDEFm80h9B18mnHL2eTNcQVKwaOtM/ard4Rl3nxtpifPWhBtpib2sxneW2nwp9HnaHfLjux8hzC32wwq20NFnYRRHHr9T7gEVGfHF/nniQmfQr+4s4rma9HOufsC8M6RmBvgi4byzw5VolUIJ2mmZb6q+Sa4EfzR4hKoZ8StXn8a/7E3tyfBPfuRX+bkHH+G/PvZFXhydQhiKR/xNXJFSFRE5BsfNHidMyefDOpvpDAvmgFlzyGcGj7JoD5i3+lRFxLBwOcyqRxAU4Gja0DJyfBlzbbzEE5UNfBHjinT6Oq30uhUtUJMhOQYVEbGVNKfhI4tuootAnpwebWTCxqRJ1Q5Z83o83z7Bhdo+65MmpqHR4ce9DodJhQVncDTv4IqUq6Ml7ZkIauyMq0hRoJTBwe0WyikQkaAyBbaOlvXxtLyVY0YKa5whwwwlBZ2LHuGcQTyjFxxvT+D09M7HCgoMBTIssIcpO+/38Q50kdDfjRgd96YeDV30S8riqKBtTQpyR+9acttgvCRxBora3RAKRbDsMpmXJFX0ZO1aSLUS0N2t4W7pTk26FqMywcYP/o/v3EVg6eG6+vAvfi/j1OHazgJZIvErMU8vPaBkxny0dp3nx6epyIhR7nLB22FSaBnEQVplJ67z+TvnAPi2s28iKRjnDjPWhLPeHlcmKxx3O9wO57hY2ua18RpxbnLCb7Nidzlj7/EDv/UPOPUfxoQLHlsfFfzND3+VYeax6nanI6o1cgRxYeKLhGWnNx13lQxyj52oziTTzjnTKHiyep+DtEov9Xnh8DifuvApIiWpiPytRRzfMHgumuf97j6pUvzW6GH+7b2nATjV0PHYhyu7+DKmKSd08xJNOaEiw6M5+G5WJigcrk8W8WTCjDXhW6uv89v9J/lg5Qb34nlyjKMsPsCT7gMso8A1FFeSFqkycY2UL4/OMc4dXtg/TpyafPLSp3gxOM0x+5AZOeZuMkc7q9JOy4AO2PgiQVLwmLtBTcTs5BVcI6Vf+BxmVRJlUhIxJRGTTMk9T7vr2EbBC9ExKiLkTrzASecA34jZy2rYhh5/HhYuQeGwYA7whWYDvjVg9NYi3C989tIaqTKpyBBBwe50wnGQaZDKJLfxZErLHjNnD3l9uMqZ0gHHnDb7aY0Xe8enSjXFKHNYdvtsR3VudWYJXmtSv6n0uXpWEDW1at4e6qMqBVS2UkZrFt1HCsy5EONuCX93ipc3dN7F31e0P5BgHthU72pfhkh09T9zDZL6dMS4W5CUBVZQkJYEcU0Pv1ljhdvLGa2aJBWt2pMnxhxvaXdDPLUYy6mmrtsvI++7ujPSKChtCt78mb9kbPj/j0th8O0zr+OKlM5cmS/1z7Li9tmPq9wazh2t+EFuM8kc/vX6+zFFwZOtBzxZvkeQ2whZYBgaU7YzqXGmeshG2OT59gmWSwMeKW1RljHLVpeipLFW0ihYMAfsZXXcMwM6j9T4/h/7Q35l/Slujef4h8ufZy+r8buHT1BgsOz2jxh48fSJ1k7L1MyQs6U9AMZT4s9GPMNFb4uvZcf51QufYlaajIqMn9z/GJcPV/jfz/8WVSPmpNU+Gnj5O9XrbK00jqAba06HdlbhQdhivjJAovTobaE/R10GPORuY5MjjOIIrnE5PM4Fb4e9tA7Ae7y73E3nGOUuZ5w9OoXH+5yCTw5Wecjd5nJ4XD9tozofbdxgkjlUrIjPjy6yZPc4zKp8LTjBw94WHyrdYFS4bKRNXJESTBfj9VTPFDTlmEhZRNPJvKoIj3L8OQZVEXEtWUAaBQ/iFq5IWY9maJpjVp3u0SDPghzSz31mzSHbaQNXpNTlhBkxoSISNrM6B1mFUeFxkFZZtPpEhUVQOFz0NrkaruLbCXPWaPp12lz0tthMZvhY8xr7aY3jVpvL42Ocr+wzzDwWnAG3JnN8YfsM8nebLD67RdGQKEsixhHlO5J0xifzJBjQP2kxOlVgBSYU4HQlcc3EiXXNSEZQu5+ReQJ7mDPacGg8tc/ebAP3ga27TSFkJY1/D1sGuSOxRoqwJUgrxtGxIrcNBqcl1kMDZssTeoFHlgu2B7X/V76hM/IodjxkaFB5AGZYIBOwRunb3n/viJ3A/ENN9RO//QQAkTJ5yN1mezp/Pm8NmDHHfLZ/EXMKeMiUpJv4lGTCitfj9niOkyX9VI+UxXrUomEGBIXNQVyhZY9pmMHRH8eS3TuayLsarnC5v8obL51i4eIB/+r8v+df7n2M24NZ/vbqS3y0dIvPTc7rP/SohSVyfKGNu66RHiGzUiVZsIea3GNOjrax3bzE91ReRxpQE5L3/vyPgaHbSj/13/wSl+w23cKkYmTUhWAvh18fPElUaIHmstOjIiKWrB7S0CCLigjp5GVKIuakqY8bN9MZrkQrBLlDRUY4IqUuA7YSfWzKMQhyfYMUCJ5x9/liuKSBHVaHSFmMCo9cCTp5GddIiJTNnDlkVg7JEUfTfRUR8uLkNC1rxKPOJsPCpUAwK0fcTuaZNYf08xKTwtZAEwSdrExFhhy32kdAk1HhctLsIg3FtWSeqLCYFA6n7IOj48R+WmOcO9TMkGN2G8vImRQ2VRlN6xYFqTJJlJxCPjL6uT/l/lU5Y+/Rzcv4IuZOvIBl5DzkbvF/9x+nZY153F/ndrxAkDvEyqSTlPncZ5/g9C9skc/WIFcoS5BVbCYLFiLXlCqnlyGDjNs/ZFGeCZj7OY/d9zokjQJ/RyBDHRYqJJT3Mg4ftQiXch0k2zaJFnPqVwXBEmS+orQpyEq6RhE3DML3jDm7cMiy32eUuuxMaux0q+SZRJo5UiqyVGq7tZNimjlxbJH0XNw9k6ReIOYisomlPZhti/s/9t+/c3cCBvCl7hkeq20R5Da3jQXiwuIhb5svDs/ze1cu4d5xmH85YfcZm7/5XV+ibgYcJhUe9rbwRUJUWKTKZMEc4HopG/EMu1FVm2ONHEtk/PHwIR4rbSDQEM9/cf9jFMpgr1ulcBTftHiTkyb83dmvks8aPDc+R7+wKYmYraTJoj1gPZqhp3w+Wrt+tAhsR3XGqcPEdXi6do/xlKSTFCY/MvtFLAMeZD5fSWd5+hNX2A8r3HhjjX/y03+f/+V/+Dd83I+4n44ZqYIryTICxcdrrzEqXFwjZVR42EZOoiQ5mohTEjGdvMyLk9PsJVovXjNDylPc2HrUopuUjjx7p919nvFvawinkXGYC2bkmFSZRMriMKuykzbIMaYcw9IRM2BUeNOJvD0qIuF2MsdW3KCX+RoEOj2a9KVPJy8zLDzqckJJJETKYk6OeMjfZ1RYvBkvsWZ1mRUBQeFwO23p7b8I8M2Ye8kcOQanrA4FgmvB0hRmmnInngfgordFRYRURIRr5EgU65kWNOipRkWhNJdwJ2twmFX4tvJVAA6zKpvpDOe9XUaFy0/d+TY8K2Wl1GeS2bScCYtP7nJHrZB7OkzlDPQ531AQzApkrMgtC2cgWP6MYOcDVQ4vCawROF2Ns7eHCu8w1WIWT2CNIZkIlKlIawolFfU7CeGcAyiSOqTnAvxnAlqu/h0OY5d+tMh+t0o2sfQZUhkU0iQFjFAgA0GKS2zrTozbFWRlhXMosO77TNYKKnctcu/t7793xCJQlQG2yHkQztC0J3x67yIz7oTXhys8f+UMp38txWp3iBfKZOWC66MFXJny/vod5uSIwhYMC/1dTqYcu1RJFt0hk8zhMKnQSUu8r3qbugy4Gq7yS1ffSx6ZWH5Cvuvx7R/8Gu8r3aJfZHzAzdjIAkqVK0TK4kPePS6LiJKIGeQer/SOcc1eZsXusGJ32bFqHPO7rNg9qkLLQX2R8IHKLU6bgkEBJ82AL4xnqVkhTWsCj0L0B0v86Gf+Hk98x89yWDjURcIbwRonnEM205mj7+UgrU6tuhpnVZmiuQa5Ty/z8WTKCeeQWXNEP/fZSGb4cPU6o9xj1hxyN5mnm5VZFy26WZnzzi7RdIgmUhZCCY5bGgIyKRxKQp/N6zLguNmjU3gUSuAaGaPpovjh2nWAIwiqNIojlJllZDw/OcNm1OCcv8+CP2Anq3CQV5CG4nf7T/Ce8l0qMkQaBQdZhVSZPOmt84S7xaiwGBU2lpHx0do1ZsSEfuHz+73HqFsBZ6xDOoXHTtbAN2KWzSELcsgxM+VyXCcxJFUR0ZRj+rnPflrjbjpDqkyWLb0LPOlqaMjebI1h5vHK3irnWge0Y+0SdC72KTkJy08NMEXB5Y1V0oFDc7nLcORjPPCwRhatKxlzLxuEM7qab010mzItGZT2FGnZ1KhwA7JmhtU1SRsZSMXWD2VkqaJen7BW63PrcJb+0Ke9Wccc6bASzhSGOpA4HTG1cethJACENlmZQ3EUjDIKHU5yegoMXVTMxDucLDSZgigGqcsnmq9yfbjAMHW58coxFi5D2LLZ+JgLBtSvwb0bZxHf1eaE3+G5/mlO+XqbGE9Z8SecQ9acLhUZTj++w5/0TiMNxc14kV989iNYyxPKr/kUls2j/8U1DuIK6+ksf91PyVVBisHnxw/TMCccmgNWrQ57WY0gt7V7PvfYGZ2iZMZIQ1GTIZaRESmLVEn+buMFbKNgKzeIlMlr0QqbUYPDqMwT9U2qdsTOeRvlpPxC7ym+p/Y1/uPwMe5NWhTK4KnyPRbMPrkSlERMRYRHaOx8yviryeCIgZcjmExv0LPuHrkSR2CR49YhXaELiKPC5bVojSVLFzbvxXNYIuNJ7z6Cgk5e5jCrsJ/WeADgc7RNX7Z6R2f7t65R4U1ho8XRdrwpx1z0thAo9tMqz44eZs4actw+ZFa22bKbRziyd5fus2Z1WU9bXIsXSZRkkJc44+wxIyYMC5d+oXFp3996DolGm/dzn5vRIr5I2MkaRIXFXXPMnBwBTHckLgvT49Kn9p7he+a+xnrS4qR9wP90+7v5e2vPs+z0qZoRj57e4vf3HtHfU+QwflBj5Ofs2zVUOL1NDMVw5JPFEqNc4O9ou5M91jWc3DaOCnrOUNE/6VDey8g8SVqGc6d36IY+rplRtmOOl7t89tYFBgOfaxOXNDIxAhO7KzQiXEmsoYnb1R7LuMlUbAp2oGPyIp3O2kR62jCYEzihNkNlnkHrakr/lIU1fofThjMluFTdIihsroardEOfqhNx8cn7lJ+JeeNgESMxiYcOI0Nvi7JemeecU0SZSdlMqJjREc6pLCPSwqSblThMKvzw7Jd42Nnm08NH+fLeKZStEG9UyB0of3SfkhnjiIyn3PuAw1jFXEvmKcuIm8ECb6plfqj1ZaRRcNxt00lLPAh0++nx8gMGuU87LRMrk17qc9ztUGCwl/u8GJxmlLvEhcmsrdHpDXPCxcoOb35kgQ8vbvJrN9/FFxtneG/rPsPU5bmDU3ywcpMZERzdcHNTRFgnL3GYV4+OCpoSXEzZe1/f89XlhJKRcCVa1ed4GUIOT3r32UibbCUzlGWkv+bE54ZYRBiK3aR+9DGGmctBpjHf7VQvDK5IaZlDqjI6gn5EyiIvxBGduECQKMkl/wGrZp/DvMTl8DhXw1UuepukSiJQxIXJXloDC5pyzIwc0y98unmZZ4cPsWgPWLJ6XI+WuD5aYNXrccbbJ5/yEDVsVbMANqMm29E5vmXmKlFhsRHP0M98vqX+Bg1zwv1+k+bimL2sxr/a/iieqYuaz3VP0Q7L1N2Qg3GZ4cijGFuUtwUyFEQtCxmBPYKkArln4nemHICoIGro4aG3bsawKfHbOVFDAz+jhvYLZJfG+GZCYNp8YvkN3Cma7dn1x0mXE4o9FyfQadbydoG/HxM3LYopBiCuaolOYUPq6uODEoDSi0Fh6WRl3CoQqUFh6iGmwdgibuoW8Ntd75hFQEMhDtlNanx44TbXhgta3xWWKApBlpo0X7aY/507MNvgxn/V5Pjp7lRnrQM0YW4xTh1uGQtcKO1y0jogKGw+P36I7668wSudNfJfn6PSMGjcStn6JknLzMgKySRzmCiLP4kKnps8yrw1mJ6NTe6NWtTnEmalZuS13QrXskWGqcsg95m3BuwmNbaCOvPOiDfHSwxyD4HS7b1poTAuLBbLfSwjpyZDTjU7vH6wRLpVYn3g8khjh0VvyO6owqRw+MPgUQ0nzW1OuQfUZUCqJP3c19tzmVKZHlMEBZGy6OZlulmZ32m/m3lniCMyZs2RRmMrwaycHJ3zZ+SYOX+oqb8yZEZMeMx9wKhweT08RssasWZ1GBYuEt2ObKf63zDz8GTCnK3zGG91KybKwTIyhrku7PXzEiURM2uO2EkavDQ5xcPeFnURcC1eZj+tMch9WuYI10jZTGY4SKoUymA3qbGb1OinPoUy2Awb3BzN04s8LFGwVuky74yomSE5gn7s8ZX+WR4u72gJSaF/VstWl2O1Hod5FTmVshyvDHl5eIxLtW2uGEtcvreGiiVWx6S+Dl4nJ7cMtJcN3c4bGBh9bcPW6UgNrE2qelKydJCTlARmkCMqAn8vZXDSJq8aPHPsPvthhX988nM8Yu/xO6NLBLlDsphi2jkiAmuip2THy4L2JYesomPtyix0hiCb+iETPYehxHRuzZhO1yo9a5G7mmZsFHpH4O0rRPL29987YhEAeLO/yI5TI8hsqlbEKHVJc8lBt0oWmJAJgnmDydMnGK1IGic7fKB+i/20xo3JAnFuasyWm9JLPK6zyIbZZCuo8/n+Wa7PLbK+O8PpmxOiWRcj1xOEwlB84aWHsUaCV88vM1cdY4ucC/U9fJFQNSPOVQ/4YnCaVEl20zrB1C8+SW2uTxaJvKlU1FAUyqCXeMSFiSVymtaEBUe39xrmhI14hhsjXeC612tystHl/knBar3PKHPJlcG3rl7nTjzPOHcY5w6jzKUsdaCmJGJmjSGpMo9sOpGyjp7KTTlm1epwJ5xjN64x54y4Gq7gy5iKiNhJGzTNMbPmkByDkpFiyYySkXDMDLEMg2upRcscMmeOOMgqXJ4cxxcJNTOkZoYcJBXujFrUnZCyjCmmJiFfJLTTCutRi/PeLhURHoV+nvbvAPCbu+9mbn5I39CwTkdkFIXB/XiWSFmMc5dFezDdfWhPwjGvw2k/ZzepcaW3RG/skyYmdSdkmHhcrO3o35Ud8UZ7iRN+m37qM8ocfmf/XVyqb/FIbYf/ePA4G8MG/ZFHGti05oY8WX3Ag0GT95y+z6I74LXeCuveEsmWxO0oFp4fglLknkVatYiaUkendT3viOJbOsjxtyM8U5DULLyDlNzT48DDswWj1GHRG7JqdkmU4B81bvFs6PPdH73MTlYjf8rgdrxwJKBpWAF3J7MMU+1fHMUalAMQhraWpsJUNishh/REQpHov4OkIRGRIG+mhBOJ3XuHuwjj3KQ9Mqs+XAAAIABJREFU1imwGXdCgcFKqc/WpE4WmJgdCxlrFsDGt4GoRMzKgp2kwSX/Aaedfb40PMdOWJtSbEzqVsBm2GBrVKfph1ztLtBsTNj5QIu4qVh4EZCw+dIy5bZBWoV4vULpXV2+Y/71aRVdV8f19tZkI55hP66y5nU57nc4VTqkZY5xRErT1G1IV6S8OVhkxgmIC8nXOmt8aF6TeTZi3WFY8fu8fLhGHFvMumO+98IrbCVNTjgHRIVFXQZ8LThBjuCMd6CPE8pkJ61zxtnHNnLm5OioNoABvqEXCZucBMlTlXvsJA3GuUMv82lZI47bbfay2hRMqpl9gQzoZrqFlmOwnTbYSFqcdXePvvetoE4nKvFEc5Nh5jHvDHl6Zp1OUp76+VyyQjKwPR4ETaLcomaGR9Hh7bjOoaPbfU831/lC5xxnywf0Ux9PJmwFdU6UOjzbPs+pcvvIW+iIjG+qXmMjneEgrVKWMRUrZjMTR17EMLPYCBtUzZhh4lKytcfxSmeRx2e3GKUuv3HzCZ5Y3sKVGU0v4HCrTvWGRfRBk08fPEy3V+KN51q8cD5mfr5P/VSX+UtjbmwsEM1UcfoK/zCnsAySskFSNfTTN9IhoPrNMXIQojwbZQosaVDYAgpdqFOmohf7zDgTfrP/FN9Ru8z/2TvNC/0TLLhDGpZOyO5GNfqJhykKrmcL7A0rWDLHs1OkUNS8CIWWvji1CVIUNNyQODdxZMbxcpe9sEI7LGPJnFHsUHMjLJGzPai97f33jlgEskIQJVrtZBoFJTPWyiypDcSqZ+F0DWgqDCXJU8F+JnjWPseN0jyz9lhLLRMX30zICoEvE06XDklyeSSt/HjtNT69condqMZXT5/AlwVR3ca8GPDNK7cIc5uqGbIetVgPZohyk0u1bVyRatCm2+ast3cUfnGNlERpk01VRExsm9vxAr6Z8HB5mwVzwE8ffDM1GXLO1eGd3bTOM5XbvKd8lzeCVXyZ8CBu4cuY/bROTU6wjZxlu8fLwxPMW0PmrQH341kehK2jJ+6q26VfeGymM7SzCjUZcMbZoy4jXJXpVKB3n9vpDOvJLBURspHOEBT20dGgKccsWz3qMiBRkn5eop1VESiuh8vUzIDzzi5nywe8kS8zY02mLUGDmhlxSIVJ7jBIPZp2gDAUtsjZHte4Zi6SKcHZ8gE3R/NcKm1MW445nahE7GvoqXAKBonHXTWLKXI2wwbnyvscxBVuBVXujlv0Yp+aHTHJbDoTnzyVuH5CgcFaWctA9qIKrsz4prkb+CLhZL3Dzf48//jEZ9kNqlzeXuHi4i7/9PjvcXd5jp+a/RYmfY8HhUGpEiECD3vDZn/UQszEBJGDSiTj0xljBYOB1nlZE33zF5buBlQ3IuQ4pvAdkAbxjIs1TLG3+yAEcb2Fsgr6ocuuVePWYI4HQZPLG6s0axNevn4ShMKv6+lMz07JC4Mwtkkik2Js0fd08VcVhtan5waGMqCAw2ZCHkuqzQlnqwes+H12J1XWKj0800MYihlngjAUV9/m/ntHLAK2zBGioBv6tIMSj89ucX/YJEos8qFN+VAnp3IbWq8q4ppB/z2w1anTnficmTmk5UyIc5PdoEbN1k+hNadLs6n/cB2R8nJ4kgveDiecQ86Xd9mLawhDccbbR6ITd2/NJMSFST/Vcoq00Jn3RbuvI7G5r5+cwjhq45WI+dzgIntRlfOVfdpphXvhLIahuD5Z5Mp4GVtk3BnOcqs0xw/OPUff8fl85wINO+SY12EzarDq9pgxx7hGwmn/gN2kxlKpp6f7mCXIHSSKu+kso1xDNwHaWYWgcJi3BszKIf3CZ06OqIuAM/YekbK4E1e5E85xh3lOeodHnP9Vs0snL3E1WiUqLFyRIlXBdtzguN1mzh6y6FVIlWTOHpEqyTh3CXMLW2QUymDF0WGm+8UMSWYeLaCf2z3PB+fv8PvtS8w5Yw7iMmku2Y7q3OvNQAP6ocvGQRPXS5gpBZiGZgJudBsYhqJeCrm6vYgqDAwDiolFBKz3GnRdn7Idk04raHFhsR03WHCHvHjjJHurWo66uDzk+aun6SyWuBUtcLZ1wKud48T3qhgKKqmitKXHioenPMyuQautSMsGcUOn9kq7Smf5bR3lNXLFaMUhP+nqEFGqmCwKcsdGpCWSmiJZSXBKCWkuCTOLJJe8sn4Mdh26hsI6NFESQqlQiSCcSAqvQJRSimB6ewqFCkyMzNAMBVOhckBCPrSQgWBICf9YQo5g/16L0aKr0eahwJiPyAd/BQPR23gH/inwXwJvUYV+Qin1h9PX/TjwQ0AO/EOl1B/9eZ/DlRnHmj26oU9/5DGo6xVsPHGRYw38iBZylF0gckn9XspkxSY7Xmimu1+mZCaU7ZiNfh1ZLQhzm424iWXkCEM79u5PZnBlehRD3g7quDLFlwm91OdD1ZssmAOacsxCtc9mOsNuUmeY6er+gtmnQLCX1Bjl3tHgy2FWoZ+XWHZ6JIVJP/M5iMpc3V3ENAuudBYJEktv/2tjbnTn+WrpDO/273G+0uTacIFZe8RhVKYTl3jcX6ebl2mZI7bjOk2puwrz1hBHaK/Bi6NTjHOH0/4Bx+w2iZJ08zKj3KUiQt4MV3gu9Qlzm1l7xKP+JvPWgP20ymbQ4KQH20lDy01N3VVIleQgrdAwA067+0SFRT/3kSgGqcskmycppFaoT+3GYW6R5CavDVc4Uepol0JpjDDUVJaqWHM6fGn/NFmhxaO9iUeSS3r7Vd6MbcpeTDawSc2ctBDcHzYZRw7R2IGRycKFEauzPTYPGxhbntaojx2Sex4HtmKnUmDORKQTi1lvzL3+DJ2uFnt8bXSM+70ZTFkgAkknK/Ps7jl2D2vTKTyN9HL6CjNWmJMca2LidlKUaZBMJNWNAiPTNz0GyMRACU37CWe10j534NjjOxzzxtp5mNnU7ZCtcZ2tdp3z8zqXcOfB/BGCLR3buLGhuRZDE7crKaQiNQ2MfYdSWxA3FJmBnqi1FSKQ2H1BUi0oGimyY+kx9bHk6nCJRW+AuysJ0wr2SNu2RdvHjN7+/vuL7AT+LfBzwKf+s5f/c6XUz/zpFxiG8RDwt4CHgSXg84ZhnFVK5fwZV6EMVks9BrFLsxqQ5BLXzMg7DvZEEJ5IqDQnFIWg83CNuVcF7qHBaEWghMIzU2pWePQEMUXBJLePBkfmbT1ZF3vm0XhrqiQdqQUeaSGJC5Pr0RJz1pDNtMlD7vbR200y50hyaRkZg8zHlzG7kTbcAHy5dxZHZJTMmBlrwgnvkBOlDsPM5ZjbJVYma3aHGXPMQVbVphrl4IqUpxvrtNMyp8ptlp0erwfHtEXX0l2PFEmiJE1zPE0QujSmuu8gdzg0qgijIMgdAvTXens8x86kRloIZrwKOYI1p8OirQUj98JZNoIGK36fr8SnqVkRZ0t7hLlFWUq6mdZ8bSVNBpnHIPawZE4/8miHZdJCcKzS0z9fb8ib3UUadkDNCqlZIfthlVuTeRwz42uj4xjoxR4gCmzmqmMOFSSbJSZriuZrkt5Fn2PLW+yHFXYOZpBDiT0QrDdmWJ3r0axNOIxMyDUXQEZT5FZkkB14lDcFrwzO4u0K1MUY757NH7vnYMPD7RpYZcVPv/nNhLtllFVQvW4xWdbpvfGqoLpeIGM9xz9asYhnDOK6wts3Ke/q18lY9+xHK5LxWoGxELDQHHKy1uZD9VtHP7OXesdpRyV2e1XEA4830mXcWy7GYk6+ElEMLexdi9xRUEtx7jnkntItv9jAHghq9wpSzyDzJMNTkFdyzbmMwd8TpCOHrFyQ1QrkRPCg16BuBxq6sy/w2jobYI21x+AvvQh8I+/An3F9J/DrSqkYuG8Yxh3gKeD5P+udKmbEjDVhv6s5+/t7dSxPP63jVb0AOGbOODTJPYUy9C9fxYLK/JimE3Bv3OLOYYvHFrfpJx53By2WygMmmU07LnGhsscodXmsfov78exUemnQiUskhclxrzPVgCe8PDlxpP+uyRA51XRLo+Awq2IZ+VEVu5eV8EXC35l7nrvJHOtRi/eWbpMiOTeVZryVXOvmZUpFzJrV4XJwnNeDNeatAWecPZ4bn9M3vJLcD1vMO0MkBY7ImBQO0lDMyDHDwsUXMb5IOEgqCEMhDB2D7mU+vkyoy4BFd0CQ2SSFxJUpu1GVrBCUzZhR5vLy/hpJpreoW906tpVRLBikSvf670azOCIjKwR3x7pi/dYCG2Um/bHHXruG6yUca/YIU5NbgznGscNyZcCsO2bJ7fPVzRO8v3WXfa9CgcHN9hzudY/1dBasgqJRkMQWtZHi2B8UvLqwguckLKx2Obg5S+4qvCseW49C0bOx+4K0olB+TtooKD3QeDKnq2i9PiGac3DbEelVC3MSkr8gGa3BZBmskYH5hRpUIK0J6nczMs8kmlXkNsRVg8x1COamHsAMbbuaUxqEspZQrQQoZdBwYy6Uhke7SoHiVzbfw+ZBA2PXxRob5J7CGhg4PcUYB3sEuS8oAhdDaFCqOTZw7zg4XYibBuUtBcrAGeWUNgP6Z0s0byTU7wn6pyyCBUOPDE89G0ZqIABv32C85LJbqekiekmnCkv7Bak/Ba68zfVXqQn8t4ZhfD/wCvBjSqkesIyWkbx1bU1f9mdeFhlxYSJEQZFLRN8kzQwoZ9SbEyahjVPO8ZyEvqvPZKX9HPdLksKs8+LFOqyE+C/5XLGqZE+NeNfyJtuTGicrHcLcIshtUiXYT2vcHuvJxCCzUcogyi3WvC6j3OUgWdMFK6PBSa9Nw5ywZPcY5R6CgnZW0ZrttEpNTpi3+tSFHtM9buvT0bV4Wcd7RchDzjbraQtpKP7TziW+ZeEakTXgkv+A2/EC551dcgzOubt8bXKcG+NFTvmHFBhsJU08mXIrWmSQeUcOQ0vonMFbE43ttMLdoMW9QYumF7Bo9Xmi/ICwsNmYNEhyk0IZpJakl/rcHbaIUpOSk7A7qJLnBkHq8ML2MZbqQ7pxibIVUzFjRpnDflDGmrL742mbquTF9CJ9xLl70CJLJVFiYRhwbXcey2phyoL52ohfu/kuvv/8S9wPWwzW66gVTQgmFZQXx+S5ICm7dB4xKdbLqGNjFiojOpHWehsKvFc9Zq6npCWD/mlBsFJQvispb+s/8uabY8z2CGsjoZipYvYC8rJDWnaRiaJ+SxHOCup3UpSA0aqJtxtQqZXx2rrmFDd16y/ztS7cawWs1odHmPNHm9uc8/dIlWQzavJy+xhbew2dKBRKQ2alQkhFVoKskpPOFgSFLuIFShOBZDgN/ZRzUmkgUkk0C/FMTloV+NsGuSuIq2WipsF4RSdqZQTlLd2pGBwzCRZ1dkGZBv5eQepkrJT6dJMV3K5BNGPgH0D1bsh47e2HB/6yi8DPAz+Jxhf+JPCzaAnJX/j6096B2qJHqiTvXt3k/rDJfl7DsjMqpQhLFpSchLVKD1PkHJTH3JIr1K5LWldCCinILZt01ydY1KGIqhfjyZRLzW2yQmKKnHZSpmrGfOHwLFFm4ciMi/UdNsMGrnwread4YXwCW+SMUpf56oDXJmsAPOTv8MfDh5izRoxylxW7iytSCiUIlENUWCxNY7VvjFd4b/UuVRlxI15kI2lxwd3h76/+Ce1MU3OesNtMCoef2fxmPjBzh5oMqJkhT5bvcT+eo5NUCAub91TucCNc4s3BIgDh9JhzqbI5teg28GTCrD0mq0gyJbgfz/Kov0mYW3RCn7wQ2DKnYsU0rQmOmXFpfkfPadx6mPnmkCCx6O3UOJAF45FLrRZQdhL6oUueC4RQmKIgTrWF2TD01lUVBsrQFCTXTgljG1UIIGdyu056QpLfK1OcN7jW01BWuyv5W5/4Mv/ucx9gvFvmW598g08/fRH/jo2SkN0tcyOwmX9Dsf+MIkkFa58JMXKF3TfIbZe4IalsFZQ2Q9KaTdxyEUGKapQwckU665G5krBlYsZKG6m709BNYZD5Br0LFWSq5/lHxwtmz7dZKg9Y8oYUGNTNgGHm0U5KDBOX64MFXj5c47BXwbJy6uWAci1kFJcxeybWUM/uv3VZA0khJXkzxQj0DIHTNUgamqpc2jYJZzUz09tXmIFkfCJjeP7r76+EIqtneJsW9lARzBuM1qQOErViYstBCehbBp6d8p0zr3L9u+Y5vNVCBgajVcngZInJag6//o3vxb/UIqCU2v9TN/Mngd+f/ncbWP1Tb7oyfdk3+hi/APwCQOtCS00yh6YdMDc34hVjjZKlW0BZIThdbbMxbrAzrBKMHZSb079UUFgeIoH+EzoOZe9YmA8N+f4TL3I9WOTL26dYqOgsuStTdlJtxEkLyYw7IS4sBrHHiaY+CtwJ5plzNM1nxprwlf5ZPJkijILfP3iUODM5cCucLLUpsgob8QxrToc6ATtpg0hZbCVNVt0eiTJpyjGdTBf4Ptt/mAVnyD9ovsS/6T/GHwUn+Wb/Hp/zhrw6XOXBsIFvpTwnTtGPPL5v7TKXh2vcj+e4NZ7jQnWPdlImLSRPVDfoZSXuTmZJCnkUUJqkDlIUHMQVpF+wH1YA6A1KuF7Ci+NjfO+ZV3UbVQne6C4z1xwyjHSHo7ncJ8lM6vUJ3d0aQV2zCvNc4DgpCMhzQZ7rnUClFjIeuzrRGZuksYk0C7KJRTayEFIRbZdRjYy7wSz9iacpzZHLs7vntDciFNwbzUBm4O8rytsph4/ZyNjBO4ip3HZIqzBZdnEGuY7oZlDa0dFYGaYgDLKSiXJNMAyUoYiauhpuRgUyVUzmdHx3cNLC6SuilmJ4Nufs2R0+0Nyin3o8WtbR9ee7J9kZ10hzQfewinRyimkdQgUmRmGQJAadsAwCLAXuoYE9UrhdfVRNK4Y2CTkKNTIRkYE90NkGf8fA6Rc633GgR5OVAPseuB2pOxJay0jmKoxQkpZ18TErFUe7CbXlkpcKlJeTCJOSKFgye3zf2mX+r9H7qX6mhBIKmTKlvH7j6y+1CBiGsaiU2p3+97vhqAX5e8C/Nwzj/0AXBs8AL/15H88WGYdxmVHi8FTrAY6ZYRgKoWDRH7IbaqPqsUaPoq7PpX974UX4IPzm/rt59cZxhJ+x+HSb7135GhUR8sLuMaRQ+GaCKzN2gyppLtkZVrHNjO1ujaIweHR55/9h7s2DJD3vw7zn/e6j7+6Znmt3Z/Y+sYsbIAlCFC+TVBRRlKzTllVJKq4oVY6TSKpyJIdxVY5yLDuy5ShSLIkuyVIsyYooUaQoiiIJEgSIG9gF9t6d++qevru/+3vzx9sY0C4zSln5A121NT09vT1TPfO+3+/9Hc9DJ/bpxD6tsEDBjOhEHnlBJVKOuy3+bP8cw1gtlE/Ov8p5Z4s/7j14+PNvJDW6iU9Zn9AwVQnt5mSOK84aoTTVeT32uDds8MGiQnxdDxYUo2CkftthbLLfLpEnOrqdcb2ubDt3Jw36scvLwVFqzpiCGR0m9Tb7ZZYriug+TmxMPeN4oc36uMY/vvMhslwwHDukQ5PJvoNI4Q+NB5gtjlh7cYnUVT6FQnVCEFjYdkIUWuDBzGKP/sglHllKCA2EgUU+NhTeu2KgGTmyZyEBaecIPSdLNUSoUb6po4eqxDZ6JMLSUqJ7JZy2wDmQtIMm/lAwOplwb6+BPjCUo0FTJqr2ZSXlKK1ndM/o6LEkdTXsboLIwO5l6FFGWraJSyZWN0YbBKQzRVJXJyppykchUD9/RWCEMDqW831PvXA4Ah3lBltBhZudWVXD32ogQx29FON7EXPzXQBa3SLaqkv1Oip6sFVIH1WV3Wp4MYFQQxRSHC9mvjKgaEZ0QtXy3A8cJmObPDAw2wb98xJp5IhYw27pZK78t0nJvkKTqaYkgVwKWZjt0A8cugcFZN88FOIQGWSFnBl/jCMyOqlPPLA5eDpG37cgB3/7O6+//1DvwHcJIa6gjgOrKBMRUso3hRC/C7yF0pP91F9WGQAOs/oHYw9vNma50GFlOhl4xtnht3afoGaPeXraJnx3MsNa3KBhDDlb3GNtvsoktGmPfH7tznsIY5M8FxS9iH7sMkTSGvn4dsxcachDtQ1uDprc69ZIp/XlFbfNjDXkxrDJ7Z1ZnKWEE4U2v7uuYCdBbBIEFv9af4RzlSMs2GoGoJ0WuTWeJc11NCHRRY6GZG1Sw6qp3oNE07lS2uQrrdPcnqK0Xhyt8NzgJGv7NXIpMM2MfGwiUkGuSb52/wS2nTJXGhKlBjsHZfq+Q7M4ZCuvEKYG/YHHmpBYtYzW2KfX82k3fNq9AkuNHrae0rtTw4gFaSVl8dgBW6sNhhslhPW25cYifDJG7jqkgUvWSAl2bEblDL8+wWuMGAxcsomBmNaosVUuQr/n4ozEdLHpZLaBcyCmbD0F6qzejBle0dgJypTuweiIanb3txRwQ9g5tT9x+Rt/73N8sXWBN19epvktdWVtPWgw/80Yp6VsO6P3TmjWBoS/12TmJVXlCOd8UldjMuMy+pBHrkv0WF1xpQbOgRr8Cc5EXFzZ4ofmXuRfrL+PrYMyKzMdosxg7d4si8ttVu/NsnDsgJ3dKmLDRb/vMioI0MCVYIwhKUhGFY24LJGmJHMzsHNEoGP0NfJAI5YWq7qS6YoM0kqmcgaBjjlRVGZ3UydqCKyuRm4yFZkqRmHupmBI9G1TmaEsSbpns9abw6iFLMx3WTnToWGPKBsBrbh4WAE7oueUjQmXTm+Q5hrXswXsTYv+A995eOBdQRZavFCRH/mNT3L1YJ4fXX6RKDf5WPEqu2mRWX3Em/ECr42P8rC/yhe7yoT2dmfhdqDmDQ4Cj0lkcaTSI0hN6s6Yk36L1UmdONcpmyH9xOHRyhpNs08mNb7RP4UhcoLMpGaND8lAn9u4SMkJyXKN9d0a9dpIZdJDk4IXsVTu892NG0S5SZibbEdlXD05zKYvOwf0M5eqMWYyxWwVtZDPty5xrrRLzRjz6uAIDxS3eKZ9ko1uhaofECQGk9Cm7Ad0hx5ZplErj2m3SshUQKzhzAQYRsao5eOtmkRViXtSKdW1iYZ9dESeC5LIQPYtVULdMUiKkh/96DP89hffT1pJqb9gkBRVVr39aI70U5xVGy4OKXohrY0qwksx7VS9VqJBJjA6BuZQoCcKyR3MqHOw2ddIz06olse0NqrMfU0js5R5p/dASnWhT/BSHX9L0v9gwKWlLV69vsyvfPAzvDA5wb+5f4V+18e9aVNay9ESNRq794hO9eEW//XJL/GZrfdy8BvHqF4dEM55am6/oNM/rqAdgxM5Vl/D31AQz9ZDGvJYwIm5Fq2xT5LpDHeLmJWQlZkOt+7Nc+n0BluDEr6VMPndOWpvTQjmHIKGknr2z+TIUkKhEhAGFunQhFygj3TMsSDxJVktgUhD5AJp5ojpfS0SGBNVJXibdhzOZRh9hUzXA0FyZoLMBEKXZJGO0CXl8oQjlR6GyNgZl+iPXYKeozoF3QyZCYh09PF0mjIRpMUc6aUUKgGTsY1MNYxdS+HnOzbokrWf+ul3L1koyg2i3MAx1HhlInXeiub5cu88oEZGb/aatOMC66MqH2leZ8XeZ5Lb7IcXGEQOi4U+Q8shzTXOlffoJS7zVp83+ot4RswJr8WNcZNb4yYvJseYdUbKQ5fZKuGVG+zGqvynT8tg3ZEHEsLE4ImFNe4N65wr72FoGdfH84xTm1RqaEjmbDVN10qLDDMHW0u4OZlj2Tmgk/o4ZsrxgopuhpnDnKM2nE80r/EnXMTQchpuzq5eZM4fslTsMYwdNntltJZF7uYYQ41QdxCRRmFdnyqvBOO+i7NrEFVzhJAIITDvO8TLEda6TdjM0ELBb33lKc48usatl47htTPGmo7UwBhoFK5ZDJclv/nwZzhphvzGsQf4lTeeUkYhwIjVVU3qEFdzckcSRILzj9zn547+Mf9w82PsT4r8vROf5+9O/jqjxSLSUPMepRsG+gs1HFeFz6fm93nt/hGW/2/4z7OfxKyF+M8U0N834ef/1u/wK+vvZ+vFBeoP7rNkJqzu1PnZtR/i+O9lRBcF6/+d4Mr8Hb51b5nCyybFtZz+cQ27rSbouh8ImakNOe8Pudup0xr7BJFFyQsZCon5eoH+UxMqs0OuP79C/apETiSjy4LOUwbNZptZJyDJdZzYYne3wnizqHoTEgG5ICtmZAVlKrJ2TLRUkFkSqWtoqdKK5bbkbRmwHqmcgreuIzKoX0+ICzrmywoj7t5usffBBYxQEhdttvIqwYwgLUhYHmP6CVIKSsUJrpkigUk0HWQLLEwB89UBG3tVdDNDrDpIDfRNB39TTCOwf//tXREJFE7PyQv/7G+hCckH5m7TMIdshDVe6y4BMI4tslxjxh/RcEZ8tPYmjzrr3EtqPDM8w05U5gOV6zzsbPB8sMJmXEMXOXcnMxSNkJIRHvL6uqnPrDmgmyp81tfap3midp8Vu8Vr46OsTWrc6TQ4WWvTj1xub81yYrHFexr3uD2aRROSONdJc429SZFRaGPoGY80NzjidNkIq3Rjj0HsEGWGymlMlNk2kxquoczAdWes0Odemy9snSdOdY6We/Qil1wKdC2n6Q25dTDDOLCJRxZmy0Rq4O6qkNIcSsKGYHwmxr81bQuVaqEG8xnepo4xASNUOqvhipKwLn1eI2homCPJaEnjB378q3xp5yyPzKzzw9Vv8W96j/Bn//JJqncSMks9N/GnujdNabbHC9PRWgnFp/f4yMINntk/yeXaFuvjKp+Yucqvr72H/debKiEmlbAzqgrSyyOO/aLA6Ifc/ps10lLGf/LeZ/i1558CTXJ6ZZenZ27z1mieu/06u1sKHaZ7qWp/1SQnT+6yXOgwnnbmfeG1S+heCkKy1OgRZTqtbhGZCY40u5h6RpprrG01OP2fXSV56hKZqzGeNehcVr4KUIsXoTBhmSXJbUjrCU4pYqHaKpEtAAAgAElEQVTaV7+/zKBsBYTT6kua6cSpjmfHxKlOr+cjdInjJFhGSt2fMElMVkod1odVtvYrmHZKuu6rI0tbUYHU95XEZdULkByJoGcpG1IKaUFi9TWMMaQ+hM2UwtwI10qIEuMwUr04s0Mn8jnqd7k7aABwv1Xj7g/9/Xcvctw5uSAf+KWfoGyHlO2AJyr32Yoq9BKPKDe4uj9PGJkkgYntx9SKYy7WdqiYAUdtheZ+tnuSxyr3AfiL9lk+3LjOeWeTg6zAN4eneL2zyIXKLoaWUdAjbo1mAXi0soqOZJJbDDOHFbvFelQnQ+O1zhJlO+DRyurh2Os4tckRBJnJ6rCGraeMYpszlX1O+3vsxGXuDGcIUpOmOyTOdeLcYMYesROUaLpDDiIfDUnTHZBLjZu9WXIpOF5uUzBi7g3rrB3UWKr1mHFG5AheuL2C6Jmqm6ynrhCFdVU7PnhQ4m1pFLZy7H7GuGkwPCYo31VlPHOSE5U0uhclWSGj9rJBaS0hrBlEFUH0oQFfeexX+e3BBX799pM8Pr/OOX+Hz9x5nOTVKpVbObkp6J1S6KrMlaTllNorypDbuSSRTga65BOXr/Inb1yiOjNkqdzn3kEdvlXmye9/nSdKd/nnt59m+FaNdCah0hjx2PwaM9aIr+6eIs50Lje2eWb1BJomOTXbIkhNLlR22Jwo2Imh5byysUStNGEwcQhaHoW5EVIKJiMbx4vRNDkta+ZU/IDt+w1KtwycA/V+pC503xdhrtvEsynaWBmB01KG2Z+W33KQXobhpZxZ2GN+6rHwjYiyEeBpalrR02JqxojNWLWomyLjTjBLlBmMM4tu6OEaCb3IJc01ttbqIAVmV8fuCrwdSeJz6B4UuSQuaMQlQVxV4pq0kiKcDKFJ8rGJFmhISyLNHDSJNjTIXdU1mFVStL5B6Z5G+X7CcNFgcAIKG4I3/tm7GDkugKOlLlVrwrObxw/7+yvmhL2oxGPz66yPqoo45IREqcFLe0ewjIyyvciT9fucL+7wzMEpPCPhe2bf4LXRUb7YOs+HZq4TZCbLxQ6ayFm0uzzXOc6cO+Sku89qWMcUqg++YQ5ZMLtsxjUOYpdxYnGusssRs8OH/bd4NjjJOnWCzKQblTlS6FIyIq73m7QixeI/iHy6oUvdndCwR9zsNzla6HKluM7Xs1OUzYBu5LHerxDnOkmus1xSMpNO5KNP7cZJolO2Ai6XNvnDzQcwdi3VIlpIyeZyNDNnEimJhTEWmEOldc9sdVUpriqXnRQCq5/i7WYgXCZNk9xSCGppCM7+nRvc6s3wL7oP8Xx3hfcv3uPl9hLfVbnBR4/e4E/lOaL9Mo3XJ2ipy/CIIG7kuPWA5g93mCQWVT3je+fe4Gn/Jj/4m38X3ZXYX66SPR9x1AgRQZ+rT8/zVrfJ+PUa84/tUnECClM021d3T2EbKTutMi8kR1mo9Zn3Bry2s0jQ9theU1VnYwKF7QzjtM7+vIu/OMRvjsleqhBfmFCtqs2gu19U+jMzY3ejyLn/vQXdAf0PnKB1ZdrJZ6d87GNv8NmXHsQYKSGo2dMxR4K0NDUkd0xom9yQc6y6NaJQJZxlqlGujjH0nP7QJcs0pU4T4NgJcaKWVZYJskSnVAow9JxO10cb6+ixmldIHWV41kPFA4xLglxXcwlJQSUirZ7AvGOQOooQlBRzsmKGXQ3x3YiKGzJJTNrdIs3lATs3Zsm9nNTR2H/QJClK/K2pA+E7rb93QyRQOD0nv+vXfpDWxCfNdE5VW1xvNw+nAyvGhIPE53p3jjOVfSrmhE7s041dwsxkd1hUeKtcY7nWwRA5JwoteomHrae81Z1jqdAjl4IwM/hg4wY3J3NEucHDxTX6mcv9YAZDZLyvdItFo8ub0RIvD4+xNqpxstjme6qvoZGznVZ5abjC6rhGkulsdCsEUyuu1Zyw3Ogw7w3oxw4zzoiNcZWSFSohROizfVBmrjagZIfc3G5Sr4wIYpP/aPkan71/iSzTaBTHVJyAZf+AOWvAWljjK3dPk+265E6O2Vc23NwCsy+wBmD3cpxORuprBHUNr5Wr2o1QaKriRkzq6bQvGkxOxrz33B3u9uuMI4uap/Rq2+0KT6zc5/HyfUJp8Kuf+wjensDbywkrGv0LGfbsBM+J8K2EOX/AheLOIf1oLyrStIeccPb55Vvv55G5DXIEaz93mrn/4R6+EfO1+ydIhjaXTm9w7Y1jiErMqV9MuPVf2vzw5Rf5yu4p9lpltH1r2g4sGB/N0QNB/aoSzcYlHecgYe9RG/d9bZqFIduDEv27VfRwmrvQwN0XFLZzBssamQlhM8Pd1dEjpVG3ekpXxlyEfl8xLEUq4NwQISAcWZBoaG5KuTxhElrEEwu3GFL1g8P+Cl1IHmpuHiaq01ynZAWsDuocjDw0TRJMbPJUwMDE6mqITG0EUlPyUyXZndqNVXuHAocGanpWyxQ9KNfVcU/qU7wYqCOgoTTuegR6DHokFdbMVSZpPYJr//hdHAk4espPzH+TE2aLUBqspzVq1lm+tnmCLNOoFiYsFvpoQrI6qlG1HU76LTWRFrt8//LrZFLj5d5RzhT3uD6YI8gtHi3dZ5Lb3OzPsuwdMMrsQx+BJiQHkc+OXeGks8dlZ53Xw6N8uXeec/4Oy1abI06Xm70mrx4skiP4SOUaa1GD53aPEUQWea7OkXNHOhSsmM1Ohdtbs+yViqxUD9gJyoxim81+mYszu7SGPvXKiN1Oie3tJlkt4eCNGX78Y1/jM688ycJ8l1avwJX6JsvOAfeCGdbCGrf6syQTEzNSLaIcm6CZGeSCYMdHGuqPSk90Ukep2TNTkDoCI5R4+ykil/g32hz8pIsemjz3wlnOXVlj/+YMcrOK811tPnJaEYR/8fMfxz/VY/GZlPVPaAwuZFg7JtWjXZKvNtC6BeJIcm1lnjfMM0TzCQ+eXaVshSRS53995SM8vrLK1YN5PDNh7VM6yS+cpvNjI37/iV/l/+o+Ri/1WHqixwP+Bv/wb34PK0s7/MnaBT5x7E3shZR/9fmnmXs+o3Btl3S2jMhyRJSRlWzaD/hc/uk3+e/rz/PM6Cy/fesRkntF3JMDJgMHa82mclPi9FISX2Myr7h7hTVd5TWm3srJ0QwEWEaGdaF/uFBXan2STEevKIWZpWfEmTrWBalJLgW2ntJwVV5nklp0Y5cgMwkzkzTXsDITU8+wTVUxctyYYGIpO7Om5hL0SJ31rQEYE0nqCjSBKrlOm6JENv0o39kAcgOkOU0+mm9LewVmqiKasKhMzDA1L6NEqd/p9q7YBLJDvVTK3WiGzx1c5oTX5sG5TT5ae5Ne5vHF1gXaIx/XSlhrVXldLNKsDAkSk81hhdPVfc4U98ilYG9U5Kn6HRJpcNld44viPA1zSNmYoCP5k92LnCy1eLSyxmSKtq7rY8p6gKsn1PQRpkiZZBYfaN4ikTq3RrNsJYq1/9TCPfbDIrPOkHZU4K12k6oTcHlhS4X7scfWSJFcLtZ2eDE6ytX9eaX0tiJ2hzWopJSqEwaRzl5cQu+YbOc1yAS3Bipf0UtcSmbIdqeM7qYkFQ19pCn09dEOextV/B1NYa6qAnsgCauqc03kkvJqhNGP2H66gpaYNEc+hT/wmf/JLe7vLNL55WPwJBz5xCpNd8gzv/8QUV2SezlVL2Dzxxw+fvotbg5m2ShV6LSLXP7eu7QCnzg1KOsZnpmw0a5wY79JMHDQOwbShLXPnubgPYLH3vcq//xjv8P3iL+DFlj8g43v4ZOzr+JrEdeCJXWOHmroP19l4Y07vHrqImKnzcIjKd637kHBJ5px2PiwTl5KIdaozCuCznPjU2hIfCcmOBBMmjaiZ5Lbkv5JQcfWsXsCyMkXQkazGlrbxBxMXX/VkLTtkux6JNUYbd+C2Zj9YYHx0EEIyUHRw7dVjd0zEwW+0XIsLVX5GqlRt8eUjBBPj0mm/SKOluBVlL6uHReYtYeMU5v9qEArUEwFTUhGkcVg5JINLIyBivDihuor0EZqOArAGItD+7YRAuF0BsFQC9/qK8iJyHhHBa8JMldFFnH5XU4bzqXgW8PjtNIi7aRIJ/JJcx1XT8ik4tc9UN5iEKkS4ExlRJgYipriKZhImJmHV/nFosJMf7F1njNL28S5zjc6J1lw+7yvdIvvm3+d9ajGb999hB88/iq51LgdN+mmPstOm5Ie0ssU7uzF7jE+2XyVk85hpzRlI6Cvu9wbNTjqdfmZM3/GWtzgj7YuMXEtvqt+iy23wmvdJb58+ywfPHWDe8MGydQXV5wdMVorU1iMeOKhVfUeOBJSgdEzeLJ+X2G7Eodnb5xE6xnkXo5WSMgzC/++Qac3A42EcCZHi9QfwmSi4e2rJF7qaIwWbFxTo3orwb+6zY3/9ghHL+zwaG2Nn/rer7D1sSqLZpc/PrjCd1evY30qZcYa8bvXH6I7cTHMlD//wkO4l7scq3dpux4bgzKLpQFvbc7jehFnq/sKCScF/apLv+kQJgbbdhF9qPHV33+Y5FMaVjXEfKVAfMTg1zfei2/GRKnBf3Psi/zhj/0Cr//AIt8YnGacbXCrN4Ol79PPyrT7BaSMkHseD59a5SONt/i97YcJM5Mlq8MR8wBzOeX/fOMjHPsdncExcagPH5zJSRJVOgxcE70Uk89KYt0i9zOO1AZMigGTyEJKmHgGxCrGFto0iZjqmG7OcumAeWdANAX+p7nOILVphwUmiYVjJIfIM13L0YRk0esxTm02RxWMcs7N3qyKKFJlDhJCMgktslABQ3JDoiUCzBxh5MhEIxNq4WcSUl2F/Fr8zpFHmso7EJeVMl6Ppo1HseqzkLoaXjLH3zkS0D/96U///7qg/0Nuv/R//I+f9j/6OFf7izhGykPl9elgTMrrwyME0iKXgpXCAT+99EUuVbZ4oX+cpUKPk8UW+1GRUWKzHtRY8nq8r3KLSFp4ZkKIhaFDjuDF3WN8/v4DZK7GKX8fw5KsT2oc99rkCCJpUdID3goWaadFHi3c50YwTyoMXC3lN9ef4PWdRXWl1gQniy2KRogUgoYx4kSxzSBz8aagklZcZK9bYq4y5Or6Iidm2nRCj4PNKlosSG4U+eBDb/A7rz0GqaD5DZ3h+ZT5mT6JNBgkDqMXGmSuxG7rJC44jYAktKjeAHdbZ3JEks/EWHsm/rYkqqjIIJxRU2TmRDBaMij9fJcTR/b4GwvPIYQglTr/6I/+Y7508zJOM+D5v/844T9NeXV4CXPDwnvBpreo03hFMEo89nGwnynhftNmTdbIhCBFUCqErPar3FudY5hYDA98ypUJM40ho80i4XzG3W4Due/wno9c45Vnz9A9KNLarnBmZZs/b5/na8PTLLldboznCDKT+606zdKI/WGR9xxZ5UeOvciuW+DN1UWa9SHHC208I2HJ7uJpMVVjzOmTO8x8cI9Xig0Cw8AIVZLNHAvQgaWQh45uMMhsYk3D9BN0I2fWH2GbKZPEwvATkolFqRLguTGVQkDDH1NzJhz1upxw9pkxh6RSn86UQNkMGaSOuvrrKbomKZgRhpZTMiIcPeUg9pXhKLMxtRxNQ+UcEpM4NpETAy3UsPoaVl+Q6Roy01RbcCYQuZiyEwR6PKUaAQi1AUgTlQhNVLQgNcgcgdTVCLE5AqkLWt/84s6nP/3pX/1319+7IhIAaAc+w9Cm6Q5JcoNu5DFrj5ikFt/YPs7fPvV1+pnLv+o+waw14L3Nexy1DxhlDkt+j6Ou6qG/P6lzrb/A7riIoeXU3MlhBLFSPSAuG4SpyWc3LzMMbXIpOOYtccnf5LyzhUbOC8MVdgLF2D9d2GfFbjFn9nhy9j47JRXmv7B2TEFQ3AklK+Sp6m3O2jt8dvsyb7TmOVE94GJpm7f0eTSRc2pxnze+forUl5izAeLAI5rJeX1whGJ1gvl8hagiMP2El/aP0NpQtXExnyG9DPvAwls1mUj1S2s9qVpLl4+2uFzb4rPRg9hdE3Mo0ROJta7q3QeXVL17tVMjzwWPlNcYZg7rWY3cUqF/LgWtKyaln80YbIY8deIOzzx3gWpzgPHjCY+V20qw8kDAvVEDLzXZHRQZDx2uvXAcd1/AyYSkZ6OPdKrHA27dn0MsRXzk7HX6icutA2VfevC9t8il4NrOPM/ePIHeMcn8nBlnxHfVbnJzMkdxOeLZv7jIwrMpX/3wRb7KRWonO1xc2WLZaeNrEVXDw9cizpt9/nh8mmd7J1h0enz0xHXec+UOM8aABX3Ii+FR9lL1OztutTioFw6lse20cDg92p9xOWHv0ckKHDE7h5g5X4sIcxNfi8jQaKVFHC2haowp6CGOUCCZpjlgmDmsBnVm7eEhKFUTCnqTS8GVyqYax84NgtwiyEzGqcUgdghTk9bQZ9h3Mb0YQ5OkiUEa6pAJclNXQJFMLfapsxaRC0Qy7WfwVPOYelxtBqmnxqO17+wjfXdsAlFuULJDHmpscNnf4OpkiSTTee1gkUwK6v6EPz84h6MnlIyIdlIkl0q33U89LC3lqHUwnec/y/VsjtPVfWwtoxu7CCFxzYRxYqte8TuziELKleUNOqHPRlBl0e5R1EI2EuUQHCcWX9g+z6eWXlPev7QwdRpm+LoaLhlMHGb9EWcKe6xHdaLc5P2zd+gmHle7C9zpNCiXxvRij2OFDnubx0ATDBsableQrwS8tHmEqO1SzyD3IBlYjN/wqQwVzHIyL0ktJZJwW5JwRnWcaROd3MtYvd1kVWsiEsHg4ZDa1236xzQVWqaCzJak5YzH57b4T5vP8L9tfpgzpT2WnTbV64LJrMGd8gxZI2cQOYgth9v1GS49dB/PiKlYATf7Kkcxjpt0hx6+G3Fhdpe7ZoOJH+GcS/iBI9e4OWry3JsnSaWGu2oRlyVf1s8yV+9TsGO+8cuPMl4QuC1JehwKLUFSkBgjg69+7QH+vHKewm0TkcGJL3fZe08FfaJwXu2tMuce2KWuj3jU2WAsDf5ocIXPHjxIlBnM2kMMLUeTkoOswLVgiSg3aJgjGsaQL3fOseuUOePt0jQV0rxp9uikqrS7ZB3wZrBEw1CCko2wxpzdx9cigEN8271gBk2ovhINSSTMqfxFMG/12I7KNMwhfeGxF5WwtZQgNdkNS6S2kq7kCJU7QFI2Qxq2QscPCg73/RpZrpFkGtKJGRs2eaaRuymZFKRTDgOpQCSqHCymjkK0dxKKeqSSiqkPSSnH3fvOZKF3RYlw7nxNfug3PslDpXWOW/v8ae8BAK73msy4I04X9ukkPqe9XY5b+yTS4GY4z/PdFQB+oPkSk9xmJ6lgi5RIGrTiIpkUCg2mZUoCuj5HozGktVfGKwdYRsbTS3dYH1c5VWxhiowv75ymbId4Rsz1vTmkBMtK+eTKG7TiIt/aPUp3rYqoxOSBge4nuG5M1QuoOAHjxGIQqqRSt++TpRoy0Vhc7OD8LxWElPR/ZkT+Bw0O3ptgbZkq3O9ohLOqB19LIarmGIHA34DexRyRCoyRoHTlgHFoEU4sbDdhodqnFzj4VsJfm3+LDxWv8Zn2U1zvNZn3BhyEPidKbTqxh4bkZmeGmhcw44y416+zf7fOifPb/FfHvsSX+hfZnFS42Z7lSKVHxQp44bkzOMeH5Lkgjkx8P2TQ8SnVxlxubnF1f4Fex8fatNDPDSl5If2xy0rjgDu7MyRDi8JtE6mDHoARKF9fXFRTfSKD0ZJgcizF3TAobEqCpsqa6zEMnggoFEJsM+WR2Q2a1gBd5FSNMUUt4NnBKZ7fXmY8dpAtm9zJsWuBCuW9MU1nyDC1efHmCqX6mMfm1/GNiPVxlUvlbV7tHaE18bH1jK3X5klLGZqfIHTJkZkuJ0ttNKEIT73E5er+AkmmY5sJjzQ3DseP96dS2Fc6R5hxRsS5fpgcbnWLuG6MY6om4jjVSVKdLNOQEnRdrcEoMGFgKuCKLpF2DqlQw0ehjhGIt6u+kDPdAFT3aFKQqjQYiMPyoZZw2OotMrjxP72LS4QSsLWMW5M5ilrIitvizmQWW08JM5NnW8fpTVzesBf48PwNPlB8i6IXsBuXeKV9hH9048MsV7scL7T58vppDC1nvjRgd1gkjE3Ozu6R5DqNhurJ1zUVS6WZzo1+k41uhbudBj9+8gVsPWPeGzBMbKSEv3biOp999QqfNy7weHONkhMxqEWkoaLJ6HpOFBmcWdjn6sE8QayUXJOBgwyVAELkoC1JNj5sc+Ize4yenyM9IdGdlPJdk8FxQerKaWtors55dg6BwXAZzL5GthIg53Lam6pz7tjxfWrOGEvPqDtjjnkdvtk5TtPs8+LeUfojh1Fks1I5wNcjboczNN0h6V80mHx0l9wR7LdLLP9xxv16nf85+TgFK2LeG/CTp57nl/7iw/zo+7/J5Y9u8nL/KHFmEOc691p1hK7ev3v9Bmca+4QVk62ZMiUnZPfLS8QXAq7fXOLISouNoE5wJSAbqT81EWvoYw1rIOjP5DgtjcnRFM1PSC9GdIsehU1Vx4+aKYYmyXKNS/UdFuweu1GZ1XGNcWKx1y8SBSZizyY31eLQQo3owKWdGASxyZudRXQnxS5GTCY2L+0eoeZPWNurszMuKWybOyHKDI4+tMVWp0w0sNG7Jmsth9VSA83IyVMNzcixnPRwwOvV1hJxbqhS87BEEJvEsc6dzjzCT5Gpys9oA4NxQ2OUaGpBT+lDADKHNNTUUFCqaMrqfRJokX44Cg2QGwo9xtvXbQHkEpmrzlE9Foe9IUJyaFKW08+/0+1dkRj8B//0n3z60qeOsxuUcc2Ul3tHWfY63Bs26IYuZTuk7k7Y6pe5P27wZrjEpeIm591tQt0mkLZ6nhVxubFFLAzuthpYZsqHj95kNyyz3S/T2y2x2y/huAnDwOHCzC6toECcGQw7PlYpY6NfoRt7eGZCe+zzRHOV1NNYvdtkbBvUnIAgN3H9iEIxIoxMhAYTadEZekpgMjumURlj+AmhplFeGFLzJvwXj32Jz8nHqV/L6D2UIjONXKqS2sxrOaMlQVbK0IoJetvC7gr8TYgrYDZDPCfGKcRobkqQWPh2jG/EDBOHXuwxTi120zJxbjCcOHz8+Ft86doFbg9mqPgBr98+itHXKZ4Y8GhtjR9Z+Rb3HvbZHxZ5aH4TIWCYqOGmhYUOG0GVTuKzF5QIUoutXpmw70Csk2mCwcBlq1Mh1jQmkcUktjjxwDbDxEasu5SWhvQ7Pn4loPznHvaBhh5qNF9KyQ2N5gsJQupMZgV6z+TcuU1Gb9SQGkyWU0rNEWebe1yq71AwIvbjErcHMwwiR0k3coMgsiA00ENxuBFIQ8LIoN4cIA3J2eY+UodxYCN0yTBwMK2M7naZ3JI0vDE3t5qYVoZp5MzWB9iNgEZzgOmkeG5MnBrIlkO5OeJHl19koTygFRXZGlYIUhPHSOkOfDRdkiEQqEEjYairOImGPtYRsbqfpxpyGiWSaohkWpXIxHQEefpPCpDiUDcGTB+bLvRvW9zaFHyCjvr625uApo4M7W+8ixODaabxenuRpWKPg7jA+dIue5ECY/YGHkFscqzapV6YMAxt3tqe4zPivTxeXaVkhBwtdHmttcg3N1a4MLfDktdjXLXY7pa5P65zobzDlcomm3MVvrW+TKfnIzOBb8S4ZkLDHXP9WhnzQkavVUDvmoiLkmhsUdYDxdUTsHNnButMhmMltLtFdCMjSzVMO2V7r4JMNKylCTP+mK1+mYITYTkpxvTK+fzwJI98/BrP+ReAjOI1i8nDAfY1l8TVKN+CzhWBtuUgTUlUg7AORiAIui7mTMZcccggttk/KHF9Xw1YiVjQONGhN/C4159jYbnNe1fucX9c573n7lCzxgSZxfKlDqsrNb5v/jVuB02+MThNmJmcX9jlpd0jPDS3ySix+dOd85h6Ri4FvYlLnOqqFt9z0N2MYmFEv+vD2EDqkkloE40tCpUJncAjzzW0VLD9yjzLX0nYf6iCyFQZKzeg8jPrPFxoccnf5D3ufVaTCs+OT3N9OIcUEMznnDyxS90Z07DG+EbE2qRGKyiw21ftdMPAYXzgISaq1VcaKCx3NYFQx6iG7LYVpu7m/ixJopOFBp4XYZsZg6GHXkwY7/u8ebvE7AP7zHhjdoYlVjdmMN0Ecccjt6FxaZ8fOv8ywRkTQ8t5obfC2rBKkulYRkp/4jLuuBBr5ImNEQrSstKKy1AHQ+IujAi2CofeAAyJMPJ3EG35lFwkpmd31d4AvANGQU4/iHeqA28v8LefJzT+reiB6f2/UmLwO3gH/jVwZvqUCtCTUl6ZUomvAzenX3teSvm3/7LvYRkZg4nD7XiGtKpjFDJ2ghIFK8JsZKxuzHAv03h8aY2xb3FDzvLmzjyp1DleaJNKjWZhSBCbbI3KPFpZo2JM+NzoAq/dP4J3KmHR7fGh6lu4esKXXnwAaWdEuc4PL7zIF9oXcQ4EUWYgxgZ2R5BmOqQaq2GdW+tNsHIKty3WyzUMKyPPBWnfgUSQ6RIZGIhEsLTc41Jl+7AO3B+7jEOLTt9nr1jgybk1fuLjX+EzV5+ktJ4xPGUy81pC55w57QwTOB3B6HSCODDxtwSTeYneM0iqOu2Jx3xxyO6wTuVNBZvUzwwp2hG15oSbwwW2N1VLc7fv8+DRDbaDMlUr4LS/y+3+DL+19hjdoUe85zH3rGDn6ZzaUk/lTdbm8Uoh432fuWMHzJcGDCJVAnMrIUls0F8vY/Y0VaM2JFmvgNsXBFWLZDxNRi5HnF/eZvt8iQcbe8w7fS54W5y3t+hlHo/afUyh8QsHj/IH9y8jn6kqOGdF1cptPWXR6aEJSS9x2R2XFL5bkyxU+3TGHmYhJvcFiWEjhUQf6+SAWwsIeg6F+gRTzyg5kYKwjF2C0CQZ+1RnhqpGj4keClqdEnV3wocXb/AHr7yXwrpJUurVa9YAACAASURBVBAEsxIpBYnUWXYO+FZ/hVe2lsgz1QU4GDtEIxtSDS3SyEspWSVHALaXUJwNsfSMihOwKkDTcgwtR59yGrNcEKcGaaqTJDp5oiE1HamrSODwJlWUoDYAFePLXJUaD4MBTR0vpCbfXryK+iQgdf4KmwD/Hu+AlPKH3r4vhPgFoP9tz78rpbzy/+F13/khRI5hZAxaBW5nGjf3Z8kyQRKY6FYOmSDc9XnNXMSzY7JMI4kM7rQaHAQeupDUnAmeHbO7U+XFwjHaQYGH5zb5xo2LPJue5BMPXGUzrnPG2+MrQ41ESEpGxKujY7x8axkuJPhGjKhHJIGDZaQUZ0Z8c39FvdE5TBbU2TCehnQYOXYjJM80jL6OeWLIot/j/rjOjDvibr9OwY3QhGSuPGSjXeELN8/jejErc23GxiL6ZJohn0iSksDsaCrRO1TwDnMk0U+OIBMEbY/QsenslHE3DayByiPkuyW2nhI8deweo6M2nZGHY6ScmGuxOy7RcEcEmcm3uiucr+7yhZcfoPqaTqOdYwQZx38v5/73VxmO6hz5RsbWj1gsLLfZvt/gxOVbdEOXrfsN/DWD2bsZIofxnEpA5aZgeCpl4aF9zld3ecDf4Lv9W1Q0GOfqj9HXBLGUdHKDY4ZkUwx4MSrzwuQE//Kr76dyQw3MiBSScobXHLPo9ZRNJyywNS5zMPaIezaYko2sQjJW2DNSgSgmKuwtJpjTDbq50CPL1cXBEDmt3GemNGLn9TmMHNzFhO5mmfqrOkEDUiF58+4ipbMh/oMHHMyXuXBqk3vtOr4V42gJe0mJt9pNDCOnWJxg6xl7SRGERC8mZMLAcFMqpQm6ljPnDwkz1dRWs8ckZdUspms5Wa6RSo0wNZBTmnGaTDmAb6/9t1cwqChHeye8R0oE041gGjxITT32Tg7hncQg37k48FfzDgghBPDXge/+y17n/+0mkBSdiLyuMe64zC12Kdshs+6Q1UGdrVaFPDPp7RcZF2LSKekmGHuE2z5UEswFBQMRE5WV3d2pki8K5JEQc10psz7z5hMcb7YxB4KkmXGtO8/B2MPcN5HHAp7fPsZco8+eJnGMFN2VbN6aRWSC4nKfke1QLISMRw7CTckmCq6JADkXcaZxgClyNWce+phaTpzqVL2ABb/PIFSby8FAzXo/c2UJf0NgThLalzUyJ8fdV2Wf3M2Jz4fkD2QYes6JmQ7OYsLdToPeXhGRQ/ccZK7E2RckscHX7p1Ev+GTFHP2jmhcmN9hf1Qgl0psOQht6s0xyyf2ME7l7PRLhHdLGAEgVOfhYNmg9HWdzpyL4UmevXYKYeVgSManYsYnBMaBQVbMMOoBi/U+/+T457hkDRjnEl1AJzOBlKKAoRTsZjq93MERCfeTnF7u8rNvforgtRr+CAbHJVYPMk+ilxPqhQmrQ0WEijOd7sgjCk1EqgpsycRSWXNDGXnwUvKJgV5ImCmP1DFy5JImBovFPq1ATWe2h74a0jkasN8p4W0YJAWYHE8wtRzZN3juzZPMLPZYXt5nZ1jENlOaroLVXusvKFaAJgmmm1A+NtDGujJcJ4JUl4xMmyRRnYFhbGKbKVH2zlJLM7Uio9QgTg2STEUBUk6PBZkq/2kpMJ1PkQZIUyUBRa42YMR0I5he+NVA0TubBeLtYSN5eLT4993+qjmBp4A9KeXtb3tsRQjxKjAAfk5K+fW/7EVMLWOx0Ff6pqiAlIJ5b8BZf5f9oEge6QgvRU4MskyDkYEx0chcBckQEu7dbyJiDbOv0R+76E7Kxr0ZivNDQhwOIp/iVzzunjxKsSN5+OxtXvyiQpVxdoR2x2fUsHCWUpCC3X6RYGRjdXS8XUlyTEDLZnRgIwspph9D3yArCTQnxbBTeqHLaqdGlmkYRoZjphTtmDjX+erVs9g7BnEtR69FbE3KeGd7hFmFnYZB45E9PDNhGNkEsUnDyOiPHOStAsGxkLcGC1heTDyxEE5GcCanUhsxGjuE0qVcmtDdLZHMp5g9nXTL49XJUcTIIFoYUXQjNAF7QYmTpTamlvF986+xf6J0WLv+w/sPkH+1SnE3xwg0hiuCtArV+pBTtTbHvTYP+6ucMFs0p9KNTq7jiIxeLqhoSoSxKm1MmasqjIRW5uOIhLoWcTWe49XJMUY3qtTuSLrnVEtrVM+pne7gmgklOyRITXWkAsKxhda21FVQ18n9TDH+pSR3MxVaWzlpaNDqF7DtBMtKyVKde90aAohig9nyiB0ULjxZLZAWJJkjMLoGCaA3I4h00kwjyXT6Q48s0lm3q6RS426nDl0LkarW3dySmIlAJBDP5KCBXYqoF8ds71cYBzZZqpPngo1Jldmq6mWAd1qLDT3DzAXSVBtArilaMpqS7BweCN4+52sgUdh0KVDVhlwcPke+/ZxvSyS+nTv4Tre/6ibwI8DvfNvnO8BRKeWBEOJh4A+FEBeklIN/9z9+u3fAm/O52Z4lSXWkk7G3U+Fkpc1znePc3prFaJtkbo6WC2Rm4W3o2D1J9yLoboa27uBtqzAorEM4stGtjOrrOl3Lxx0JhonN8Dhkfo6WaoSZid0Bp5MjHh/TzX30oU7nVg19YcKk4yGsDKsPSBi1VcTh3rEx1ixyyyKsS9XNFenITGOnVcZYc1T75gDip7sUbMnmywuYOdhdgR7oTHSLW2mTJ07c586VlIY35mSxRckIuTFsMkpsRTeWilEnNx30QBDXTKy+RtRM0QoJ3ZZCXuGo8PLYcotcCjQhaQ19wunU2mxpxOr9WdAkUarzeneJh0+usR+eoRt53N9uYLsJaaKTncrQPtDn0uw2Z/09HvHuUdcVxdYRGRkCfXoKnUjIEIRSxxMZB5lGfypovRE3yax9dCT/D3NvFmN5dt/3fc7yX+9ee3d19TY9Kzkkh6skarUkQ5IjGIotx4lf5ARwZBvIIgWx8hQgT86blZcgi5M4SOIYiWQ7kWVbEhVSXCTKJEdDcvae7unu6q697v5fz5KHc6tmZJCSYNnAXKBxq2/dunXrf8/5nd/yXRSenmxovOSV4jqfO3iW/j0oN8PsSlXgdi3GSqwWtFbRiRpmdShkpfbvjU19mJurImROPnfviaBaQXOeklxpMUZhpjHkNcsiwdaKx/UQUk/zuEMyDc1EpzzyxhJlFNc2xzx4Z4v5IqNJNWnaslxGnM46zKqExUmHqBSXTEBcCAAXwqZ0W7R2JNpwfeccJR0niw7OSVQc0INh7Yf7IEzribW9fAwRvAe98vhIvlfw+9VUgPf/n8uR4QVC8GIkKNvV37bqI0SLfwMsQiGEBv5t4BOX7yvYj9Wrr78uhHgHeIbgUvSHbu/3Hdj50JqXIjRKdGZIXsk5utnjvMhwhUZIyJ8oltcN8Zmi98iRnRpmtyJMrOk/CCCUZOYQRtGMNL6O0RVERxFREZxvbepJDxXjDzn+4NE10giWVyXLkwF+tyU+jGhGjpsbEw6jHlURYz87ZbHfo/d6RP2ZBaYbs/e5JTbVTG8neKVY7mrUig/eOXDoMmjDH1wdYm5L7E7D+sacRZlgrUBUEXiCQcpG0IKetBlzk1LZCOslx+d9up0K++mG8nEfhMSljkZ6RGZwiwg1D1r6CFh0U+omlCduHqFnCn+lxmvHu/e2SA8ibOypTofELbw92mStU3C+zNFPEqq+Rg8bBtem/PKL/yeFS0hFSy7ry02/9JrWSzZVQyQE1kPrJYVXnKGYu5Qz02VdL3jQbPBycQMlHGdNl9en29x/vIE+SOjdD/V/ueOJx4Jq05GNSuaLLHD2OxVCeGbLFO8FUllsz4Tm21yii1A725RLwo83kK6XVLOEskiIkxY8OCex8wg91phhUOeJJxLTCa329ERQWsnGaM6Du1vk20v6ecVmvuTt401EHMRCqipC5gabGZwJoqtYgcskphWgHWI1+3desJEtiKVllAR3Kik84zq//P7Fv7CXPJFyGOvQWuCdwwmP1/4y1cdIvA3NwcusgItA8F4GIBsBkUf4ACPmjzAivbj9aTKBHwPe8N7vXzwghNgEzr33Vghxm+A7cO+PeyHrBZ2kYTodsrE+p2pz5nXC+LxLNNboRWBNQRDS8DI0pFQD6kjTe2xpOxJdWAb3HdNnVVDEbRz5gaS44vGvriNUUKcp9yyRcjQDj2wESjvyfsm86NPZWZLplqaO8E6w3i14lOXIVtKeZiSlYPxcB6eg/6gNxpWbFiyoUuJVUL4tdgKtM4kM9UlM0QsW4u04JT3UVHsNJ3X38uRubKgJ37q/QzqoMZOYmRO4VqJGNW0UIRoZRkytJJoE+HB6vNK/9yntStV247WgIzApU2zmGb4B1RrQF5g0kA8uAoCxknYl9fXZq/dZjxf0Rc27ZoNUtqSrWh7AIbEIzmz4MM5tl8pHQZwVR+MVhUvouIZEtvxfb75Es4hR5xH9d+Dm3QbTsUxva5a7juRM4pKQnVVPOiHF3Sk4O+/ia4WILd5IhPIIGTaEyxzNMJQZaqKx2oemV+xo29CwNUKjI4usJcV+F11I0jPBcscilxHJmWC55+jdlyx3PeJBxkRbVBGclhYrsRBrQ37d1BpvBVFqwjhvEuNV6F/oFQpQa8cgL+nFNRtpGGs6L9ErSftEWk7KAFH2PpjqeLgUw7FOYKzEGIlzAteqS+PVsOnDWNHLgD/gQpdgNSK8GAsKF0hFsMJNrHoBJv9TUIm/k++A9/7vEtyH//6/9PQfBP4rIURLaEX8vPf+/I/7HYWJefxoHX2mOZMeveYxRYpfarrvhgsgHAy/rSl3POPnBMJp0pPg1NL0JOmZwcvAnJItREsYvDmn/OyAds2SPQqgHC8gXy+wVlJfbRG1YtCpqFtNdnVBL6vYTuc8yEbUIuJ03gEfxDp7dxXVepDoxkFxJaZ6uuLW7in7X90NDcePL5BJy9PDCa/v77BYBu965yT2nS7ZUtD0wwdyvOwyXKnaHk57bPUXbH4polqPyQrP/KYKc9/IQ+qIzxT1tkHUgWfefeDRlaPYkgzfhHJbIgzYONSJncee+a0gRqEqiOceGwvSseOJvUp+ILDbHrEe7MUy1ZDLhn88C8YqkbCksiVaReALJehEtoF0YzMqF4KAQ1C5iKVJuJMfsbApplH0vx2z/mpDfFJy9H0D6lFQK84fS3ThWe5B9ljjNDS3KryT+CZMXvJezXKcIcYRLnGI3OILdUmtDosd1FIiZgp8hNIeOVE0U41sBXoig8dfIxHnQS488PIFxU7gZNiO5dmNc/a1Y284YVqnRNKF3sE0gZlGNgIjY4QVaAN2r2LQXwaHJifJ4pZu1AQBEqeo6g6FialX04FIWso2oEndKkOBcAAG+HC4d07iVtyAPxQENIjI4X0oe7wQIMXlWFBYgdceE/nViFBeBgQfe5z+U5QD3vt/97s8/nPf4bFfAX7lj3vNf/lmSk1yoGm7Hk4TTMfTzFKED/jy8xdDTRhtl5hGhU7wTCONvzR4ENajK8viaoKLPeWW58kPDWgGgPKUewa0Q840POzh0hAivfBMpzniNKZ7e8rh4ZDxPEdrRzuLsbkh3yg4+0SH+EzRXGmRsSXNGtoNjfSC+483iIBi19JLWrSyvPF4h+1fS4inFpdYyre6FDuC8ko4cXCCxYrFOJlncK/DYT1g69Sw2NPEF10U6VGFwAtJfb0mzsOpXKkUmyr0XKKrQDbKDzy9/Zq2qxHWkx4UqKaPTUD4gNdv+1BuB5295V6Y83vlWesWTNqcB8UaPV1f2q9dMOHcalZ+YdbSeslJ1WVc51RGU7eaqoloG82vn34MvCA7lAzvGpInC1BhDNjd95hTQefYMn5akR6H917dCMAacZrAdgteUMyTgJlfCKxR2NiRHgVx02a7hoME7wSiFWTHgnLHE80l1ZYhmira7RYXa4Y3J4wP+ohakowl9RDMWriOKrMo4dnrTHhucMQb021SbUiUIY1jylaSHiuieVDraQYeL2BtuGSzswBgXGXkUUumwzVzXlCYmEWTULYRQniUdMTK4qTDeoH3oY+DlaDcJY/A29VJ7wKF+KIncDn7/043AT5eTQAupgfx6vkORCvCQfJdbh8IxCAS0tPAmW67Pqi9Ck93d8ZpNyNKDcJKPnP9Xb742jMMvxXRdsL4I55B53GFKltk0cBuQv5EUa958iPH6C1Hsak5/9GKLG+Qrw1Izz3nf7YhfjWn88QzfVZhr1Us5iliFhF/KyGeerq1Z7EbYT9p6GwtMWuSUdqQRIaqiTCv9/FdT3SloO1FdB8o+p/vs//nLLu75zz+sTWe+zthoeRZRHaWsTwLePBponAvDzjZa4lONcKHTby4qoIpZyqIJwT0WQrtmkXMItqlxucWWUpMxwVD1gbabtCpgwQE1AOBf3aA02GTtT1Pu9mAhKtXzynqmCQyZFFLL6652Qlip8ZJpm2KlhbFe5TVC8uu2imOyx5nRSekr07Stop6kSAnmmghSOcCvYTNl5cgBcs7fZbbClVBfmxo+orzZxUuhmrDk50IsgOFlwqbeORUh0VsNT5xQXtfAK2kXnMwatgYLjiZRwgrMLGjulnhnuTopYDY4a63MI9wcchyfvijb/D5bzxPve4QFvJRybXhlNMiJ1KOcZPx9nSTs2UegFFxSxoZOrtz9J5DK0dTJtgygnlEbRQnyy5ZFMREelFNqlsk/rIB2K5GnM4H8Fk3DgpFxoWTv3US0Fzsb+ckzgVugTd+BQxaTQu8CBBjx3sB4qJH4N8jCSHCvUt8yA6kX5XS/wYag/9ab9IzequlHioOf8Bz7c4xeRQ8BPPNhm+f7OC94OF8jbWtGecfHtK5r9GFp/9uQ7x/TvXUJic/NGC554hmYLcaTj4ZkR1qij2LX2qG/ygmOyqZ3UyJX8sp79R4ndAODJu/lTJ+Dra+7jj8Pof5vgW80qfasgzilslhD9kxkDbMipSmjjDbhnRYwbd7jA496djR//19Brs3mLy1Q9fB+GNDeu9W6FlF97Ululzj8DMxV7/gSE8KZrczBneD600ybpGNY/3bnmorQVWeyZ2IztiTjFUQkzAiGFy0gWW3uBY06r3ytF0Yf2jlbNN3uM0GZhFeemS/Zdgrqdtg8jIrU9bihspozsqcXDdUJqJxirWkYH4RCN6/oJ2ishGtC3DZWIeaduETaiuI5pLshFA+lZ5mFLPcDjgKk4dFOH4mQhfhNZuho/+ORJUeaWF5VdCsW5ITvVrE4MoQFL1eEW5SizqJOSlGyO4KC2sk9kkemmJA526MqkOA6bx4jnGSV46vIhvJleeOKVvNreE5xil+7Npb3F+uB1PXIqOb1kTSkUcNN7rn7CQzduMxx22fL57c4bTIKfN4BauG1kl6SX0pbCuFpx+iMedRhzPdobFBVVqtCnQpPcZLnBfE2tAYTaTCtRbC0wJW+MAtuBj/WYFo3h8EwloINOL34MQ2d8hWIlpW7kfh8QuZsu90+2AEARGintMQnUvGRcaJ6WLvdknGgmrdEy0Ek8kQ8yNTPvPiXb62eAZhJeVmwtVqxPRmTOfA0TmAwx9t6H47QbYwe9aQ72tGb0E0t0RnS9oPpegS0gcJehlcZNZemdE5yMgezXjyZ4aU84TRiafagclJNzTlqoT6tYx6zaGvL/G5oNnvsPuKYbmlOPxemF2/gS6h99Bx+OOG9R8/5Z2DNcR4SHokiefQv+fID0oWexmdJw2yNPS+eYwoa0hiiqc3sLGkGgjiWZCJiopQ8kjjUZVD1Y62q0kmgqa/SlNTi0gtxJY4skF/P2vZHsxZNjFVqxl1Cx4crxFFloNJn0hbumnN/nxIog2jpAiGrD4Yv16cao1V1DYAW4omYlEktMsYsdDoQpAtBdEShAmSVv2HDcsrEU1f0H9kSaYwu6HITj02BpfAtc852i4srkriaVDHjc9VWOA2iIF6Aa4bRFWFEeiJoh3YIMF1kIZR2tAwfEtQj8SlLLlsPbNWM7nWIUoNpZWIrYqb/XMiGSTmD8sev/34GdQllNehRDjJrZcMo5Lv7dzldnTOby6fY9YkNCZcw0g6bvXPiKUhUy07yZT1aMmaXnA1GtORNXOXcdgOmNqcykUcNcFYt7Y6KFlZjfGSxmoqq6mtpmwjSh1RNxpr1OWE0BYaGnVZIlzoCFxOB1aZgGxCT8wmK4CRWMmRfdBFRWQpOflYkMdKJoLmWwParsd3HV5J/LUSI4KL663RmHuTddaeP+M0XcNLz9s3Err3BMncI6znxq8Kzj4Es480wQnmeyeI10fMbkYsdtfJzhyHn224+b9IHvxEzJ/94Zc5/WyHw2Wft84GiBPJ5lcUJocrn4fp7Tg0/F7vEs2h3IZ6kiKLYOM129PI1pMeS5Yfqej+QUr3Sc3t/01y7y9tce03BIsdSXHVUzzVosYRyytd0jPP4NU5YjzDrQ9hPEUkMV4Jkomhd6+iXk9JDxYgBPV2Bz1vMb2Iaj0inluSqUTcE7hYUG5G1OsKoz3WCJK9BcNuwbXuhN1swkHVxzhFrCy9uL6cTEBIUS9q2dYpyjYiWdXG7w8G1ovA3PMCGVvwgcGnmrAI40UIWm03TC/yY8fiqmLz5YLJ0znlliA79ogWik11mSEECDIgwuaH1QnWCFgqXOrQMxkWvfJExxH5k/B3Zy9H6MoRLWXYDN6TnNVMftrDUtNdWzBfZHgvOCp73OyeU9qIwsQ4D9NpB1NrdGIo65im1uSdmjf1NreSE1IRmqOf2Njn1ckOWjqMk7w92WQjW+IQNE7zpBhwvXPOb5XPU5iYjXTBh7oHXIvP+fLsaTbj+R+2k6+DJL7zgpNlh35a04kbtjoLZnXKtAy6FMZJFiY0TD2rND8mCA+uLpRsgRWS0Carzyr1iDaMFF303fffB0JUJNnb89f/+n+KuVlxc+cszJMfJ7TDQKt1hQYruPn0Ecsmpqhjbq6d8+rrewy/pam2oF63yEaQHktcHEQWzMCSP9BUmw6/3oQGihX82AtvcDWd8P8++DA/sfc6H+s8oLOah5/ZLr8zfYbP3X0WKR22VXR7oV8Q3cuoN0Nmoaqg2iJXZq8hJQ/pmCoD/j87EixeaEJzZ1XP9a/O8V8csXypZOvXEw5/0KEWku5DSfexxUWC0Rcf0l7fRJ/OqW6MKDcj4rkjOwpppk0UqjK0g4TDzyRUG0GABKAdOOSowVaKzZ1A6YiVZSNbUpqITLcYL+lGNcbJSxntso1WMNZw+jgXGlWhTn0vlRRiRaipNPpxQvcRdI4c8dSAh/i8xGYRy72Mxa4kPfVI68mOW84+lKArz/xmAE7BCtQSAT7YqjXDlWR6GupaL8FstNBI9EyRPxGYDEzHo2pBM3SsfTOMRHXliBYWrwQH3xNTXTXs3DhjO1/wQv+AX337o9xYH3OtM1nJg4cz8J3zDWaHvZBqrxh+UdYy6JVsdhbcWQnOaOm4v1yno8OHfuEk9XAaNB5uj85IleFKOiUSltYrTptuUARyildPdjBWcnU4u7RQMyso30nZZVEnOA9KehZlgmkV3U4QVJkscqp5colPQLvQQPQEOLVcsRMhTNNWLEVvBb4I2hcP/9rf+uCKiiBg+BYsnm94cLSObxRbX3ecvaiJ3tE0g2AU8ai4Qv+uQCWCV1/M2Pkdydrv7jP9xBUe/5TFdiB5a8X+2rV89iNv8fX1PfxRTpK3fPTqY751eIWvH11j+/qM8WmPf1h/lH/IR/nxW2/wG/eew7Sa+I2M3hn8e3/jn/MvJjeZ1hn3yxjTcWQHGpN5XCxwymM6oOeCdt0gEodQDrFp2V2bhQh+MELGDnkW4a5UVK8OcVse/SClWhN0tuaYNQkPejz+cxYqyeSpm/Q/e8zx21t09iVOg6olk6d7lFue7Eiw/lqDl4LsKPjT2SQEJaclRkeIVnA27oZuMzDphXp3kJRsRhXPdA5pXUhL7arpZwmNPgjgltpplibhrO5wWnaYFBlVFWGXEfGxZuMPHF4JbCQ4fz5BlZ5uJjn5SET/XcfojRZdWbwUFFsRqgmuOyZ3ZMdhju1XkFYbc+m5V295TN+SHGmakUWda+JJOOXbbmhyyiaMPdMTiTQO1XpcJLCJpO0qeHGOKCPG85zJImc7m/EDN+7xhftPUVvNWrrEecmkzlgsUtRSIutwrWzqaa3gdBFzKvu83lyD1IY328j3xnaxozsqqGuNEPCG2aaYJ1zbGTMuMvpZxYfXDshUy935ZsADrJqpxksWJmFSZSTa0ImaIFvWRjRG0TQaW2oWQB0bpHTkgxJrJdYodBTGtt4HReROXqOkYzrLGfQDQGk6zZHaYxMXfCq+2/b7IGQC2ZU9//HP/sfs/7in+45m8K5l8pQiGYeTYLkbOPX1hwt4nNFfwY+ageDGP3iMfXLI+V/+OOYvnDOd5bhFFBR9NmvuXDnm8XRArA2duOVj6/v81rvPYky4mMMvprhIMH3OsvEvJBu/9iYiTXnnr93E3Cm59n9o4vMGpODg+3JUDfHMUw8E86csshVEU0n3kcemMH06YBr8Th3QjomFaYRsBLYbvOMG34qY3XF09iU7v1/y4CdT9n6zYf9HYqQJ/nTnL1me+Z9Kqu2Mui+JSo+qHU03NMrieZAWX25LnBaYPPRUbOZp1i3bN865Mzy9BK0k0rAeL9jQK08FlyCFQ+GRwl1iAdRqHDB3KYogkDE1OU/qAY+WwQrufNrBnKRh1LkCq9jUs/nMKb2k5p3XrnL188EFpx5KdBWuyeKKYrkbghgifL/tBhsu4aEeBTDX4nrIbEavweRpkEaQngagWHrmyY9a5Kr30HZWjUMpqEaCyfMeWQnMyKB7LWYZoTstadaw05+znc3JVMvSxDxZDjgvgo1YGrdkkeHxwQgVO9xpAqMGcRoHn8AzidchA7FpaFpGc4lNPO3IcvXmKVWrOT/u873PvcOVdMqb821evX+VtNswKQxPXwAAIABJREFU6JQcn/QDCCqx5L0aYySm1ejIMOyWNEZdgoeWkww502FCYINpabQIY0qbBI9CmwfujEws3ko6g5LlPOXKVnDbmi4ztvoLijZiXqS89Rf/yw+uIWm2s+e3/uu/iRAQP0gYvBN82SYfNqi5YvgG6Npz/BnP+jfCiTD+kEdVgrVXPYO7BYff06X+vjlxbKheG4bT5UqN1KHjmuc1edKghMcD3ajhtMgZPxyx9g1J8rNH3OiN+b23b9N7JXTmy01BMgkQVyTMnnL42DN6RVJuCcprBpEZfCtJHsdkJ5CMHcW2XM3mg58cIshl9R7AclcQzYMhxJWvNJQbIRmbPBOAPt19z9lHPf27kvzYIi1kR3VY5Btx8BRIBDaFph/47jb1+I4BJ9Ddlt2NCUJ4BnHF1XxKaSOmTRrm1F6waBM+tfYAu+pQX2QAFrmCs0qWNqjhzpr0ct5dr3TxinGGGkehY79Ro2PLxmBBL6556+EOa1+OyU8sxXqYaKjGo0vP+JnA+cCDi8P4sV6DZAJ66VleDWPOZBwCarR4z0ij99hQbijihSN/sMQME0yuGN+JaEZQ36q4fuWcymjmZUJdR9hCo3ODVI5OVjO9N8KvNejIMuiVDLNQXk2rlMk8oy1i0l5NdZ6Svxvh9eqzJwSnZhgmGvE0fFYm95iBQzQiuAm1qzLlaoFSnigy9NOa24NTvvSN5/G5gVqFsiN1yNjimoAMlKmh3y9X1vKe2TzHLCKQARykZhppV0AwvzIjqQNYyGSezhPB7LYLh00WHIds5nEbbQBbDQwP/+ovfXDLAdkz9EYFu3/lIaf/zkeQbUC2rX1D0T2wFBuKeihJzqDcCqq72ZFkeafh/IWI409n+LyBZUxzlJM/N6Na2TS33xhhup66zKm0J/nQhH/rxqv8k7/3/SxuOBi1jH/EoSZdnjxeY/u3NetfeMD4+/eQLWz/5j6LF69w/HEdFr0RjD8aEIOjVxTZmURYz9mHwmJNx5ZyM0Tt2Sq7EC4Eg2a4OuU/3dL/Zszph2N6+46DH/TsfNFh0tDh3vmKo9gKHoKqhaabIZy/VIcR3mPj8Lr9e+CFYLkX0Q4dUjnmdUwvaZg2KblumDQZ52XOMC2RwtM6xVdOb4drj3+P0SYcUgRQy0v9R7ReUdiYicmZNBmzNmXZxizThnI94mp/xsG8hzGKJwcj1jbm+Fpi44Bo6z02JGcVxdUMF4VJx9bvjpm+MKSzX7K8lobN44LX3vAdRz0QjN4omD2VIRz09psVWcaTnoXAagYJ5UbE5GkFn5hybRjERx9PByzGOTo12FIjSoUtFRZYbBKchgtNi+asUUzjDNMqxEorUkYWawUyN5hc0645oomkWbfIQiIbcck7uKAO6+kFMo+g/0+AhmdX5swnOcvzAafXOsSbBUo5jFE0kwRRhJxLKIcnjALny/RSP8DOI9RS4uIAi1Z1GP3KhEvbsffDhZt+wAzoKrgrS6uJTgVumoRG4fK7dwY/EJlAsrfnP/Wp/4jO/TliWeHzBB8p1PGUxceu4iJBuS5Jph6TCFTjWe5IdBmi4vRp0LcWxJFh8e6AtTuBwVU2EfrXh8xvwdXfMez/qGLw7DmTSdCCG/1GRvszYyZHPeIjTXOl5S9+/Ov831/9FM//nXOOf3CTyXOe7FCy/lpL01PEM0t6VCCLhrNPbQTjR+PRpSN7ssQLgWwMzVaHai0KIJnaM3i34filBK8DKGh+Q7D7xYr9H07Z+f2WaNpy+tGcK79xyOGPbtN/aKgHimRq0aVF1habauZ7MfVwZUBxkRJ3QyNUOEG9ZRC5gUWErAR2YALqbi7DaE0SNlXHXC7+KDbEOsimJSqUBbVV5FFLL6qJVx3seZOyaIOpS0c3HC57FE3w3DNWsVymRG9mmNwTT1dEFx8WcHruyY8MurLYWKIrS7UWoyqH6UhMKshODDaV6NLhtCCeNFSbCcWmou0KBvcN0niankK2nulTiuIjJc9fO2QYl9yfrXE+71Af5vTfVtTDkEq3gxBAbeqRdaAAu402yHudJKGcydx7LD0HPnYBeJPYwF0QK3quB6k8SofrdEEVvpAH04nBO8lTOycUbcy17oQ3zzc5P+mjzjW269AzRTwJ8HEzDONOpIdSBfJPbPGNQlQyvA8gOtPE05W5iAhB80JR+KKRKixEC8/0uZAl4wJ7sNpyqELwzn/xix/cTCA9NTQdib/dZ35thC48ozdL7v31PYSD/IlgeK9FLw2qMtRrCSaLOP+w587HHzF+skX7oMPghVMWDoo6or7f49pvW85eEOx+8jFP3FWu/X+G5mtr3D6oefDzYSNWxz3SxxHVzZqNzTm/8s2PQ+KYvLTB4F5DPIsoN6EeKJwW2FSixkv8smD9q56Tz25iUsn66y04hxovQAoiJYgftwi3QefRElm2bL0MyeGCo7/t2fifR7hIIhs4fy7i2j+dsvPlhuWzG2x9dUazntJ9EgQ5o7MCYT0m79I9aFn/+gLhHC6J8JGk7a/Giqcl1XaOTSKqkcRLmN+ILklXsteSZCGd+NiVx0hx0Q9waGkv791Kqr12+hIgVJro0kbteN6lKBJMEQbR6bCim9Xs7R4S7xleHDzhzcU2sTQUJuYb964zX2o2f1+z2IuI5jD/eIU6kHT2VwjJDIrtmOFdw3InwkbQPBdRrwX/hN67PrjpzBq8SFheCSNcbySv3ttl9+o5zgvSuKX2UFz1RNMVyWw1O1/c8LRrFrWQMI3wyqPLFdHGCGQtw/MrQdsLKX87Cpj84Ai6QuclDiEdnaxBpE3wCVgFg3qcIirFcbfLdJZztshp7vZJbi2Q92PKNRMk1OqAElULiWwCFyQ/8lRrgmpb4VMXAsBKWctFoRcgV6Vpk68apG0wNlV1KDG9EkTTAKU3zxVUhynxufwjCUQfiEygs7Hnr//8L1DsGXp3NcuPlWz+84TOzz3hcNpj9Pe7zPcUTsPi2Qa50CRnK7LMS3Ps/S6qEmy9bFCV5+FPKMRmTe/LGdUWtM8UdH83Z+dLU/jWm7hPfwh9umD60Q1OPyq59Y/mTJ7tsv7b72J3NxBvPkCuDfF5iktj1OEZbjZHbm9y9r07TJ+SjN5yjL68D20LeUZ1a53xMzHSwMbLc4RxiMZg+ylqWiImc3w3xz8+xDcNvPQ881sd3F89Qf8PG0QLy9EnYzqPPWuvzhGNASkxgwS1bBGtBSFohymysfhIYlIFIphS1gPJ/HpITU0ealfhwXXCiSUSS96tEcIzyktaJ1nWMVf7M3bzKUdVD+MkG2kwwjivc2JpebZ/xHHdQwtHaaPLoDE3CY3VxMqQqpbKBn3H02mXttbEaeDWV1WEeJihS0HbC8zBZujpPhRU6ysb7QqWu578ULC4bYnOJTYN39MLQe+hI5k6qtGKkTe3jJ/RtB3IjqHaCCdi9XyJaxS99SXzJz30XKELQX27Iu00VE86qEKSnYTsqbpigvz5ucQlHheHAOC0JzsOBKNkvALfpCHbans+bETAjgwytoFZaCRiqYKKj1opDA8botTQjFOiQU0UG9pGc3v7lDcf7LD2ezHnL9lAQy4UeEE8DRoS9dBjsxCkLsREPSEWCQOIME3xCsrrbWhAzyP0LMDJfebQ54FnoZeCZui5/59950zgAxEE8s09v/c3f4F62zK6Pqb6ygbVluP5lx7wxpNteJzBbol3AvkkvayFTN8iK8noVUH3ILAIz5/VVBsBhiprQbXbghUMd2dI6Th/MmD99zXFVYF5YcnuxoR39zfovpqQTDzRXzjm6HjAs3/jTeRoiF8WuKd2USdT7OYAXnkLOeghel0oK5Yfv45woCpLNAm+hGaYoCc1PlHUo4T8wRSXx4jG0Gx0SO+dYNd7iNpS73RITgqK6z2y/SXCe5Y3usQzQ9vRpMclphtjOorljkIXAYwzu6mC5bYJPvdu2LK9PWU8D5z15iwNEtd+xSSTwLCB+aqhl1hEofHaEfUbothcGmo6J1DKUczSwJF3AqEdrlbIxNLtVvTSgDOoW31psJlEhjxpuNKZXfLnF03MybiHXQZTje49zeLpFjlX+Dhw5tUi1L7JmaLtO6KZpBmEIJYdSEZvm3CyZaEUBJg8panXPfljweyOCyPEDwcZMNNqOExQZSAWXWQFwoeMY/trhpOPBeaiycNaiaaCciek3umpRNWBfVles/hoVRoUKpiCZKEj75YaooApsCb4ByI9SdZSlxE6slxdn/LwcI3oQUK719AZlMjPD+n95CHH4x7Jyx0WzzRkD2KaocN2HOmTALXOjj3FTkBB2jSwL13ikJUkmgdvQqcDpFrWAtMNCEuv/Cp7CQxUPVWYgeXhf/iff3DLgXyj5Gd+5kvcKzb497e/yP84+kFePdrh1bevIRJL1IB6NWf76y3LbegcGeqhotjS5EeOpgvFpsbGAbRzUY+W2y50eSXMlyPYLblx64Qn/QHtIkZayaOTET/94jf5Z+kL/PRzL/OFozvkvZqD/+CjrH+7Jn3nGPX4lLM/czN0uvdeovPuKh3fHpB/9R0O/vJzTF4UXP+1Lt1XniCXCWgFRU1qPaKokN4jFiV+q4PZGiCcp9nq4LWkXQuNs3YtxSaSpitpejHZicErSbkZ0XQF5YYgnofUsB4FsAweJAK/1BwdDFGT8JFGtUAvQ4dYOIHpOJhFpIeKaAFtT4ejRSqavqYYBrAPTiBSS9arwky8lfjM4p0KzaxWUu6nmJkIKaYPJ5IyUHVgOnKcTbcvu/p2pXGgfAD/tB1ABQ9EtZQ4F2CtqhZ4FfQd8IEVl+0rshOPTULztRpJmkEQXy12HbZvafsSvVlimw7mJEeOavxxEjT4CdOHi9sF/Pz8OR2uQQ5u5LDa02468rsxLiHAwhdBp0HPJV6uTERaMN3QG/DjmGgpsdcqkq930CVMP13BPKKygjhvMY3iZN5ha2MGG3C0PwqW70/3uLJS0t5fz5HzwKD12zWUmupWjSg0wiqSSQhGyTmApN7wuCwgFmUTsgK9CIECwrTApuCNwGYuXOvEI6sPuA1Zcvuav/Ozv4guIfrJExZf2SSZgGw94w87Nr8mKbZCJE/G4SS0cUjT0nFIDeO5Z/R6STuIqAeK6VPhNMmOJMvrltHNMeP7Iza/Jmm6gvlny0ul1u5XM6783Vd46797hixvUNLRS2smRUb+//TJjw3VmuLkJ2qubEyZ/eYO699uaAaayVOSajs0Xm7804p4/5wnP7VLfuLID+rQuOtpVO2IzytsJ2Kxm2CjsMiWVwPjrrfvKNclbRfSU4/NBKoM9ys37Eu8uMlDgHPpKuKrMEYSViALie1ZVL/BH6boUpA/DkSSC7IJHvITR90PsNu2A23fXyrTtusGEQe0GatuOR7cIrh7xGfqvZNHeVQZNrFNPe3AkT0O+H/ZrjDtq69tEqYk9XpYvKoONa4w4XkQngOQnYYegFfhZ4styXLPY3oWPVOYfrDmjQY1d1ZNuG5cU1vN3QfbATU3i/A9gz4NJCrbcZBa1FlE/65g+tkKVyvyd+Jg8d4GLEd6oPA6lCnVpsMODNFxhOm6YOxhV9TdxBKlhl63ZHJ3DTdsEQuNTx3DrTllHVEvY5JOw5XRjKMv7FJeb7l9+4j9syFaW7b6Cx4errG5HmTj97+wx+YrhuNPhOZhvRYONV1CPQyHnO2FZqKca9IjiYvAdD2yht67gTPgIkE9gmorGNpGxxHv/NK/YjkghNgjyI1vr5bQf++9/2UhxBrwD4CbwLvAX/Lej1cKxL8M/BRQAD/nvf/GH/U7+t1d/8JP/wLzG5JrvzGh2s7RheXxD2VUd2qytxJ6DxzDNxfMb3Wo1mSA7ebQ27fUfclyN0TGtnOxUTzpmQiP9SCaw8a3Su7+lShAibccLnXIOoiTmtyT3J4hf29A+6k5zkp63ZLZPMc5Qe+rGeX3L2iKiOydhLYfQC/zZ1rQHn0SkR0Lhu8Y4qlBti6QXxLF7HpMMxDkxw5pYLkjaXqgVtIrizuG7LEmOQ8GpLIVxNOw+NtuuK/XfUhfB5bNvTHTRUZ7lCHMSqLKv+db36zZQDF1QcPPRx49V9jckRwrXByyCNNZEXSSINgpqrATfc8E4Y73ZQfhGwTTjEIFmKoIYylZh9/lEodPQ6dbFIr8cZA/8zr4EKrGk0w9dV+sWH6CaB5KFa8FycThVAj2NobuE8NiVzO9E1JcOzTcvHHCKCkoTIz3AiUdG+mCZhUpJ3XGtE45HfeCbp/wtPMElRtsrVBjjd8KJqN+FjN4VTF7ejX7t6HZlp6ushFJ6KxXAhuHgNVut0RH0QrTAbNbEE8F1QsBcyBkGO+JVsCgRaqVTZh2xH/QCfTp7VBiZOslSWSYL9MgMlor9GnE6DU4/bhn4xuC8QusINVBWyNkXh6TC3Tp6b9rmN3Q6ArajkC4UEIIF66ZLkSwJhfwrf/mX92L0AC/6L3/hhCiB3xdCPGbwM8Bn/Pe/20hxC8BvwT8LeAnCbJiTwOfAf7b1f13vQnrOP+QIH/iMb0EXVjiuwfcfL3l/CeeZvj6lGKvw+S5Lt39BhvHtF1BOva0HRkUhSQhGzIX92HTpecWmwhcJGiGEVtfVqx/9YjjH9hifjuQXOJpiKDLyYDhO5bD9eAUcz5c4VqtYPaJGsqIOG9pBnH4uYknfxBdnmL1uif9aoOaVrSbOdFZge0kxAvN+AWJyWWQNDMe0/HohWBwF8pthcnDWEcvw/gv0G9XJ6ULKV+0BHuiOc17+FoRLSXJ2arWzUNAUQ2oWtMMHLbriMYKc6UhfqQpd1rcWNJsG0QtkZVAXoiyrAwv9VLgz2Ns4vFFALZE0xVaLg9in16G2fWl1oAG4YLAi5wrktMgl52M/QrFGGp5pwXLnZDZ6IpLeTebrObsKwF9aUKZUW5o2jxw4v1OTZoY3n20yQMVVIeGeUk/qbg33aAb19gVDv9W/5zxPGdrsOB03qG7PcN7QRlFtPEKbjuO8amj2lCBtJSE9+J0oGQ3N+pAw04dLg6ybtaDnOhg+qmDo1LnCSy+p+D65pgn5wPSpGXWyKCF0MgVFdqj1irqUejmi1YgK0XTjagWCfIkRgiP3KmJFjGLa4ByLHclyXlQyfIigJXiCWRnDlNITAbVmmJ5LVDg21zholAapOeeYnsVvP601uTe+wOCijDe+7kQ4nVgF/jzBNkxgL8HfH4VBP488L/6kGL8nhBiKIS4snqd7/w7IkWz7jBPNdSjjOzYo27don+/Yu2fvY2/uknvDw6xmwPkomLtsYXJHIY9RFnT3Npi/HyK8DB63dO/XzG7lVIPBE6HP3Hjtx+CkviXrnD+6U1sFk7beOI5/2RL/gVF/4Fn/6cNYqlRC4mahrq5/44Ar9AVjJ+LyU4FycSz9btneCmx/QQ9LhBFhet1QAni/Qk+T3CJQpfhdLnQSVSVQJUBjRjPLaPXQ83ZDGF416JLx/nzEXoZNlfbCz0OkwWO/HC4DJTeLKFIEpDg+gYaiZorEGFBi4kKfYFJhKpAP04YvgX2XU29JoinIQt0kQyovsKjmoDDN4kEEYJrMgnzexuv1CwJdeoFyEfYAAu+0K3wwlINVwKg6qJs8zgV6noIjjiyXjHcViPM4kqo2VUlqNc92WEoY2zXQqlpPGxuT+klNUUbMSkyZlVC22rogZaOblxzUPTJkpZxkQXNwGUalHuMJM6bMNu3AnWmaQchkrVDS++uxkVBsCN7M8VkHtMVuNyiem1QMRpAvSGQx3EgOWmPm8U88msBmZo0bF1fMIhL7o3Xmb01QjYScdbB9jwuDROb3usR80GAlasazM0apVwgvq0Z1DT0Q9oVy7Lc8qTngvTcYWOBXWF/TB76Pqp2SCsxUQiqNg5OUNKs+kbNvyZloZUJyUvAV4Ht923sQ0K5ACFAPHrfj+2vHvuuQcBGguREIQ4z+OSUcRkz+FJKvRZx9rPP0HYF0qxRrXv0ssf1f3KOmAlE1UCkid9+wtP7aVi0aQze040lJlcrrrVg8bFdhPe0maT7OMyaN79e0Ixi1l9tOX8h9BUGLyfs/uNHLD+8w+mLEcO7dkXg8eQHJcO3JTZVLK7GoWGkBHpc4JWCToaoG1w3w+wM0LOK6LQgGgs6b1T4NMEnClFb5KKgvrmBi2WI3pVDNZLsOMiDmRSyebCbRnhsEupDfWMRuPyzBIwgqoJ0ti8U0VQSTwKErO2GEki2kB2H/+uFYLnLJR/ddMJJ4VeNJ5uEUSMEvr8uPCYTVKMAg1Y1RMuVLl8kVjoHHm1CNtB0JSYTJLPQTZcteLPq3xhPemZIZuH1F1c1Nl6RiFZc+GCUAeW2x2y0NFcg61esJQ3LMiFPQ7/mcNqjOMsviTz5esHh2QClLaZVyCcp/loJT1LUXkE7C14NAJ2spv7SBss7LXqucVLQ2Rc4JamHYSRnU0+97khOg6yYGEeYjsYnHpsGEr9sA9lJ1oKm43HjGDFo8D54XC7aJCglXyswtSZ9K8Xcqohig7vXJVp4RC3Rp0GNyQDp1zqBK9MNrFJdOMqNQL32K5NRaWBxLXwe8SyAg6K5ZL4nMHlomro4jA4vDEpt8j5Z9O9w+xMHASFEl6Af+J9472dCvPei3nsvLoXT/8Svd+k7oNaGVNuG7n2N+MqAXEB+ajl7QXPl9yoOvjelGXiaDYt+fsnkwZDRwRk+SxCzBSTxqmXrEeMZpAnx/oTEWHxRIvIMH2lcPyM9FshZyWiecvKJHv13W2yqEAaajqC3b1l85ArxrOXa5wKff3pLs/5aDc5TXkkotkL9uHhmQO+NMT5a6e6td3BK4mKJbByml6Aqg001UVFj1jNE69BFg9kaEJ8smT87pM0Fqgmb5+iTOdHS0znwLPYEqgw1tXBQX2vZ7pacvLmBbsMHnEwEToGfKaJloOOqBtwpRKVfPcdQD8NHXW7IS275/ClLcqKQJqTnJl2ReMr3mktOh57KBWVa2JCeqiqkzeW6JFqEMZtw0D0I5VdUeKLCoY5CAAMwmcImAlWHwODilZDMAoptj14KymstopEMNxasdQoqozmfd2iq0GSjXtVesbsMAsVJh/yBDvqNlcTmDi08bdch7ndQ18tLGPF4OSKNwrhPl4LoBJoelNcM8bmiGYRxYzxRtF2IJwGl130ETV9SbYUgYfoOn1j0eQSxQ/Va4qTldBIUhY8errF785TpuEPn2wkmB/Uoxd9eIgwsr0FyEv6W9MxTmFAqhiZNyIqWu4LsGGy6AgN1QwAI9X7AR4SyNDSYZRu+7j9wzG5Ioln4mXgO/BG7808UBIQQESEA/O/e+19dPXx0keYLIa4Ax6vHHwN77/vxa6vH/tDt/b4D+daeH31T4SLoPrakZy2nL6b0HjpkZek9CPWRv1PhvjXARh53Yxs5LSBL8Vly8UYhiXH9DFG30FpEVdPsjqjXY/KHS2RVI5Ylqm7Y/mJDs91Fz2r6HvSiQZ0vII64MIpPG4OXXfS4RFQtOZCealRlwueVx9hU43XY/F4KbCpWYp8aSDCZwN0OKkKuq1dgH0V5rYdJw6aoe5J0YleMuKARmJ760AeIgliHXsTMB1usP/GXz+scmvD6WpBMApd+uaPQlUe2oXlnOmrVJwkrIZqHjZk9CV1wF4cAYFNBPAvSYAGhFk4UVUM8Db6HqoGoDA08FgEXnMzt6sSRQfzV+0uSj2wc2aOSejtsjnjqWF5NAgtQClwGyxfDaC26s4TTHJ9Zqibi3ukWAGqs0SvHH1WF9NeuZvfqPKAWy2sWL1YmJcrjH+Ww2QAKO42Jz0JW2Kzby8yjuN2w9TtRABvVkmgm4P9v781ibEuzu87f+r5vT2eIOe6Uc2WWbcpVNpV2G8u2/AASDZbd7rbUal7A3TLdLyDR6u4HAy88AgIekFotdQskQK0uIQHCEoNNIyQwQwGurtGuHCozK/OOEXHvjTjTnr6Bh7XPicisvFWFCypudsaSQnHinB3nfPvs/a3hv/5rrS1NEdpGGN0TFs/rdyZRlZUEjemrE0O7pz0i3IOcZKGVkpgnHn2zwuaJO28fUN1xtAcJP4nYlaE/LTATBWtvvnzM8emE/nSCu5djG2H/a557P22xrbIkZy9B2lEMqTw2G6B4fEeLskKufObRPb021WM1nvkpmJB0wO3DuOFX/K6UwID2/zXgd1JKf+XCS78G/DLw54fff//C839SRD6HAoJn3w4PAHW1D75ck91+SPfiAW/+UUv1Dtz41wtClVHMlEsevjIhW8H85xeY/67h6M1DygeW+hmPTDzlayXju4mHP6ZWYue3DcXZvrqhpz1mviLsTXCPZ7rRQyS/fYosVphmG9oOaTpS5kjGEEcZyek8g1RkYIxa/ZTw4wwJyt2PudFctk+bwY8hE1xM2u67U5ZZcuux06JVgXtONxPa0rwfqYdRzBKTu4Fuy+ALtUTZKmJCYnQi9COh29IN6mqDa7WGYnVdL2dxFqkPzKBg1NraPhGt0Bwomu1HGi6koRGpJC1CwUBjQKKCZG6p3ogEBfi6bfALPQ8ZcudaH5CAiPhEPvOESa7dj049vprgJ5byuGP+Qqkp2hcU7/CThL2r/H2/bzCNziJoHlbkx1abpAwZkJgnXe8oQKfHIhDLSLLqXptOSE6INxusTYSbLbLI6HcjTHrMw5zmhQ4ag5k5Tl7VFGfx0OBHygpcZ07q61A8GqrxnCoH02o61NWQvTuAqjExuafzFNodddnNqWj2Y6mZj/Fty+mrHbKwmtYNcHw6IfvyhNmPdEy+ropkcVMbsiaTBkOg7+dqoR/pxja9Zk/8yFCdRKqHyqZsd4Vipoqk3rO4VrMI/UgGPOd3qQSAnwb+KPAVEfni8NyfGTb/3xaRXwG+iQ4mBfiHaHrwTTRF+D98pw+QkHBHM/zNXUJmeOlzieR6muuVWpc+aW78OU+/1SFBOP76AcXickRmAAAgAElEQVSZoX6po9xu1VUcCismb1vGdyPTb64IlSN71NBeq/Av71MfOvbmW8RJSSgdpvWYcYmf5NjaIaOCVGTKSJzoGC/bR/ppjgna3de2QZlZTrSaLyTEKzgTMyFrIraOJCNM7i0JVaYA4bInjBz19YrqQU0yBZM7HfWhNtxotwy7b/QkI/hq8EROI+224fQTDj8+z7mThi7CE2F50+AnYFq1VqHQdGm+SLg20o0NxVkkWcgWhuKxehimU29i+axoXX87xP1zlFfgVTlJUOsvQ9FKtoybGv7oBFdHTYkadW+bvRxJiXwWcCtPP80IuWH2Ykl9aLQxypHQ/tSc4itTYpZob/XYqKO9Ta5svJhpPj5EbZO1Zshp6hPyx4bmhsdMewgGM+0Jpzlmp9PRZEMev59lyE6HuVdiWuhGBru0pBvN0CXJ4pYZ+Uyv6Zqm213z5K+rV5h10E+FWCidN/+mKvflTbNpD1+eJGyt1aLre9HWifEC5i9A9VauisQL5bGwGOeMz6B/kG0arCyf0UyVAq0KuI6OPL4yVA8TvjLMXtCCtnrfKZ7mEztvLDn6sQn3f5/h5b+zJLqKbBl59CmheKzpw9+1Ekgp/SYb3Pdb5A98yPEJ+BPf6X0vivgIKREqR3lnhsxXpOmI5rltzl6y7H+tYfxAML9lyWcl5cOe8u4j6D2Pf/waiGNyp8U9fISZL4m7U8zjOWlU4k4Fuh7ZL8EI0QqrF3dITqju1/hxRhhlhGKw0pNcOflAP7Vk8zCwrwwxGMRHTBcwrSfmlpgZXB2gDkivbr5Z9ZjOI4sVKXNkJ2fEvSnSeogFo9MGUmL7GytM3VN+Y0HcHjMNidkP7VAdddjOap++lKgeBmxnaIJRAo2BaHXTFqeae+9HCrLp4JVEvgi41ZAOMxn5vCdkhsltQ/mwp9vRhhVbr50xuTfFLb16OJOM/FFDzC122RNLvUVM50GE5lqF+IhbDPULIwvxXAkChFLDomiFxfOVpgctnL1icCswryxYVGPSKkd+sFYSUhK4WzK5b6hvRqpT7ahseg1ZQjFkIFxCOu2j3+0qzyM6hzSG4pkFq9ISWotkEZcF+pNKvbOHBdEpiFbed7gV9KsK/0oNM211ns2FbCbUN9XiJ2PpttUzqI51rt+6CYpXdjb5WcI10Oxqv8lQaGy+/9WOo1dzxg8C9YGhPNG2aJP3DM1e0v87yVjd0lx+KNUjyRZCP4Xd13v6saGbKnAccqEfa1rQttDsWCQmVdI+sniuIp8ltt+E2UsjQq59KkOheEF58p8oO/CfTYzQvLiHJHjwswfc+PU70HvsyjN6YCneeIC8eMj0tVo78sYIQW+4vd+8DZnThqSjgrg7Va5BjEjrdVNGrT6LuWV8H9wqECoLMeIWHaFSbb+O60GPidmQJrOC6ROm03ZafpIpqSWCrQOmC+CHdtJd0OKfbhjdtTPGrDLmP7DN1tceEUY5tu4hJcyiQ44fEZ6/jj0+w1/bZutLR8TtEZBj24Bd6rGjoank2qswXaCfZvixxRc6Vcg2yreXqCQg02prr+Jxj3tcEw/GjI60LZlbRupDpyXb7fpc9XLEwqlSFGF1I1eL3hiSCO2OxXhL+VCzLjHT/mBaU69djvqxNj7ZPvPY1rC8YQilutihgP60xHWC3M/pdwL5iSWfaWltsmyow6ShoCe/0HzUJooTN2Q3FAPIj/Q2Xk11gKksLGkU6Psc02vfydWzOpAkmyut1q00zelFcQadeKyud3mknlRzMBTpDJ5BNteQas1+lKDHr27IwNnXn/HtxPzZTEOcUjbs0H47gWgK0vQK2pZHwuKFyOSbQ6l8BUkEVwckqDcFUO9bfKng8Xr+ZMhU0eYzYfaCzuiUqF5bvoCTHym49S89d37WsPva064EUsItPbGwbL3Tk4qcVDgkJsZ3W1JV4OYt8uiMNK6QIfBOVaGVdjsVEiJJBFv3euywKVNmNZ4HwshRHNWY+Qo3LjeoPilh24Cbt/pcTNhlh8QKu+xIzmDqHrqeVOV6jNFmojKkINV9E2gCKXeQO5KP1DdGjG5HbJNob24RSoOEiJ9k2DbAzi3a/Zxx5wmjjH5rTz+vUxc7VBmmD4TK4CdKTMpPe0Lp8GMtb/aV6LCShbqoEhScVJBSwynxFasbGaP7Pc1+hum1e1NzbUQ+6/FjR7vjsF2k2yrIloGYG+oDg+0ToRpwgPVMyMxg+ojphhx1FwZsRMjn2vu+23a0W4Z2RzeB6dDqt1NHKNXyVrfXPSQTyx9uKb9Qkp9q5yQZMhLZEiSqF5GG4p4kML4HqxtaMh1dovxmgS8TowfC4jmhOjK4pWY3bK3WeHQUOf0Bw/huor4G8XFB1uugFz8ezi+pknCNxv4xU3ajBAXfxIOp00DMibQ7A8uxArfQjk8IbL0T6bY0lWofQbetmMPovubys7mQz1UJjY4jza72yCAlbO2xNZhVRywzeCYjWyaK07gppOom2rotWmH/az1+rPhQNgv4kcU2idnzjvIYuslTrwTAHc9IZUHxWAMs6XPk3XvI3q5a/s6Sdrc2FjYVOZiBYbbqdSJrG5Bho8ZRru55YUkpw3QBN++RGEmT6lwBAMZHpA1IG5QFZ4VYOgWYSkd0huQM4jMdCImyHGVQBNEZxK4bdAoxt/jKYttItvCqnJqgGQWX4ScZpo8QEv00wy0D7fUxRO3M224ZTKaUWhnCpPXnksCPHb4yCj62kfGDRHamqc5mP1MQ0adz8o6Ffsupld6y9JUQdpQjsLjlmKDtvrqxkIkCitHZ4X00/5+tFIlOBggMSsZs2H1+7NQVHj63HwursaHbVhzBLXUTuKUqhOlbGjt3W4kwDsw/YWGeMTqKnL1iCKWW9lYPlB5rG82i+EqGMCFpjny2TjUK5cOk6U2b6LYM1ZEe71ZQP5NoDhLJGsoTmL2odFo/Xvca0NZxxYml3dWikvxUCVqhVAVWHev7h3wgSSVVBMkMZc9LnUqdDa3UkoHVNWH39cDiWUu0ifEdBWXLWlODtktghPJRUFLZccv8hRKz6AhbBf3eCD+yZMuExES29GRL8CNLvoy4VSSbdfhRhgkJN+8HBqRh/ys1Rz8+4toXOk5fyZ+4/Z4OJYCeoCxrrb4LUZH6qoK6gbJQYtCAqidrVDH0CWLEdL3+nw9IiNAM9fe9xy4btdAiuLYf3sMgMapr1vn3rUTCeVdWs9LP3KiLdZ1FHH4PG99yjvxrHwFLMiUSIrYe6vkTuDNdSxIUXLTK9bZtpNtRb0VW6gZmc60/CKU9z/GmhFuph5DNop6jMbR7hSL1Qb9HN1jxZMDVirckqxbalwYTEjGINnK1ECqj6+iHG61WN9b0annaHUN1Egb+fyRmavE3I7GdUB8qxXddK7C6pu5/daQTgN3KYFvRqdEvaeiRn+rGHN12Q4pRY1+3hNF9aHeF8b2gnAIH3VRxj+37mv2JDjAwfU/f03i12kpZBhI0h5A/1mrA6DSGz+eJZt9oi/MttfDVA6PFOqeaW9e+feqF1AdD6rRRhepa7XBlOg0Tykdp0zo95LqhJdhNdsbVGgZN3hOdEXmiSiOOVVnalQKsIddQs3wcCNMCO2uJByO6qcW1cfDoFAPIYiJkQ0rWRyRpjUIshnRwH+l2clydNnUZT5KnQwmIkJym3nT+uqgiWPd0SmnzWKJalo0YM2ACuqE2BVEpqULovpU0LcNnAuD9t7z+PhneL31QAcDG+gNIljH0f0ayDBcScTSwcgybdCIpDfPlFF0vTmq63ZJ81pNEW2aXx62OGmt6YmaQ4bNNm4i5RfqAXXYQI3FcDG64xdae6hjcWUscZcRsqKtwSkCxbcR2Q8xZDmyyXBRLiJBJUjBRlLyUP+qwtSPZ4dysrtv0kej0ZktGcAtP+ViQYJXNNjTgcLUqGk1lJRbPaLqqOkosn9V26bbV6cn9WDC9wbWR4rHyH7KlUq4BirN1qkz/rg81JetWCjoarxY6GWF0EuFU/143Ct35unIhbKvKpDpSKz59R+cVjO73NAfZJvVWPlQANluo0pCoZLLkFJR1rVY5RieYpaZwoxVVZJWCmlvvdtguUy+wdVQnkXwRNhOCbW+GOgrFALotVa6ujjTXCqoQz+tiANPGwbD0BDLcMK9wHT4YEYyP+HGGW3ravYziVNf4PfEEvi8iQiqHvHuMatFNVGv/gSrHjVu83sTOEnMHVm90Adi4zumcSJTUym2Uyvp93Xf4CqJqUPnA37op7Pk6LigEnAVnsIsWvHoCWRuQtsOtp8asPZFHZ+TmGubxAowhbo+w9x8T97eIpcMtuiFzkuFmDWGiVt/vVEgfNt6GDErPtOqm2kWLccpriM4QczukvxTIyBYDw3I8eBpJ6wbWGQW3SNi6HzwIQ7bwhMJubsj8rCc5wZeWfsvRTS2ra4pex1x5EeM7agHrW4HDL0bOXnZKqtnRTZgtobovZKtAKAxb7+oaJBrFIJIqnCxqyXMyQ1iSCXZoYy5RFUB1NIRSO0I2DyxuZuy91mO8I59H2i3D5F6g3dKBsKPjOGzmSDYPGB/JlpHZC3o/2BaafdFMyywQC8HmhoDG8zR6D9peX09GcDGSlkI/URalRKVVm5DYfstTnnSsbhS4JtKPDKMHHf3EkUToJ5Z8FjcFcdkyECtHP7UYnyge9xDBtJrFMY0nFVZD2X5oF994YukwfRya0UJxGgmF9uh8kjwVSiCJKJjmI/hzi75p/Agbb0CiMs023oGIKoALNGZALfZ6o29eS+9/ff2+307kA2swZrOBv+UzP/h3OHfB5ELIAqii8gGcwywapNcUnJnVujlXLQaQtiflTt089CaQNtDvl4QipzjtkXU1X251BHhRKuYQVTHYxitL0RlSZpTrUHtMHzB9occO34ObtxraGM0GSNDwwi47pLfqicSkN6MxuNOW1Qtj6j2jwFgDqVM32Jew842e+YuOmCfCKLG6MVTGLWB07EnGUT70mODoK2H0oKfdydTC+kTMNVQxQxViP1JvIFsqCJrs2qom8rlazn460HFvzylOHM1hRSgEXxnKx4FkLNM353T7FXblCSNHP9JahsntyOI5JW2N7kctcx4GrIRMyOpE9UjDqmwehrJnTRPb2iM+0m6PGR0ri7I81u+zetAA2j6+38pwjd7HEtJQv6HKuTgLkBLFgyUpd7jCaqVnHzG13+Bc63tYOr/JgkndEncqTBfotnO0RiQRnRkmVn+4PBVKAGGIlWVjcSVqvE9M55Z985r+Tgb1GnpNZ0kIEAKcR/G6udZyYVNuLPq3XZcosxDeryzWj825dk2ZG/5FtE6hdNhBQycRLSwqc823p6QXrQ/KH1i1CnSmpMDmdKTnVXekwqnFWXkFLY1BQoerPdFl+FIthXRxgzNo5sBp7r7xSKc3a4JNbYNtBUJ6nwKQpOcccwdGMFFdT9MHPYek1iYZIYxyQmGwbaR80EKCVad1COXjQDdVtiPo2Pn5LYetlUyjxS0J2wSSdWSPG/rpWIew7uWaPssYNvXg/Rk23aWrk452N1O2no+0O5Z8rhavOAvK7ZBsU86NQHEWEJ+G8EpTrRIG0HXI8hSnnspHois1yzJgHqtDpWFrObReb9sn/FiB4WwZafYctrNUDxrMwJpc3srJVopfjE8b+l1NYeanijX102xoq95ju4ivLNlZR6gcYaIerPhEcarh4RqvMqtuc+8lK3qPGKP3lRNkGfATZQzaTqsLq0dPOyZwQWTtqq+5ACmBsU8+vtdNdREYTMacW+r1ZhfRY9aPYdDE30YZfNCyf7diRJXX2uUHBTa3R7BWSgMFOTmDiekc54hRL6hEcJrelLbHna70fwYFYleewqcNFmBXnW7qGDG13dCb10QsjEGsYEKEfn3uAXNRUa3xj9xsFA5+sD65ZkkkRBhwBuPXHoE+rh5FBSbriFsOLmobCWXG9tsBP7aM70eaPUPxOLC6nuNLobk5ot2yjO97+qlmVZJRYhZOb24/MhSnnmzeK0+iV88Ap96DjiDTlGlyQj4LmC6yeHmbbK5r9CODWwTyudDuF+TznsXNnHyhHkTeRbppNkw3Ap8J5WnABA2j+lz/RgYspU2YqPwRZ2VDlnIrTVev77Fs5vGTHOmH1x+vqJ/fpjheUd8aUzzsSNboOgWyeaffueg5mVWv4V7dEiclMcs1FGg8+KhepjGkzGFXXvGxADYk7MpjK0s/ecrDgbV8iwII4XyDX5R1KAAQI9JFUoyID+8HEkXOgUGjLi52XScvH+7Sf1A+zAP44O9hHZvngpJ29KSUbCQpneMZoD0AqgzxkTgqNx5LKjSVk/IMidqxGBEFADOLO9NwIeVaiERMuIcLiJE0KhQXWbUwLtVKXOBCSB+UD5ESYZwjrcdEXcvmewhpE3vGzCAyfE7SdGWs1MNws5YwyYmVI2SG/LHeyOIjfppRnNT47QKJia13Iq6OXP93PYtncyZ3A/Whw/jEwVdqkhO23u7ptzKKU82K2Ea/z3pPY2WJKMCZoN3NqPcM5WmkPOmHDEqieOSVvBQTNiRNpZYKTkrSjW7bSL+FMigLS3Xi6bYd49s1sbA8/gHH3tc1zVYeNVojkhK+cpheSVGmU95HNu+1UCwpd8OPLDGzVHfmpMwyTolu2+FWnuZaQXHSKTfEGLJ5T7dbDm3snbaED4nklAiWRPS7TolUZciyVW8zArloOnt9W5aZ4gKZw8xq/N4YW2uGyM0aLYN+sh19SpSAMGxmr3GytaSR1Y0RFK1ORU7KnG6MRpFxYdjYvUfWGYXMIb3fZBuwVpVISqRxpYSfskDabmNZJcQhPrekPFNFsVZCYoZ1RG1K4jQmJgRoWigLdf+nJWZW6/+vxRikbknTirgzJYwzzCrTmC6qK2tmNXFcbjQ9UdOj8XAbqfvzFKYMFCkRbVzae8gznSWSZ+AMUnfErQrzuB9CDod9tCTl+pkSEt1+RXbWYlY9cVScr3XIXOCUA5Eyq1yIEJUeXbghbgUTlB7tK4dbeqUcC2BQMNEZYumGSkooHmvlnpu3TG6rCzt+t1PrGCIxc2TzdigoUjam7SN2qVWboTDkKwU/w8iRzTzZQjBdRIJaYhPUGMQ81/cZW/qxYXxfGZLtdoZtIovnClyd6EcKoKWh9uP4s2NMr3TeNTjnyxGhUKuazwPZMmhmJDNEC6ubWg3pTpTVZPq1J+WIucXNO0wb8CNH8VC/FxoPbYepHSa3VPcbkjO0exnl8TnJTWLEPVyqB7M3JkmhxLXSKSDcB+Ioh8xiFo16jMPgnm5X8YBs7gnTYhOePEmeDiWQIFmjBJ/GI22nN6KzUGTIfIUYv8EGkrNDEYls3O3k7Pnv/iJoqG6S9F7JLSEOCmdwodZextozuPjbOPzeWMG4bh2TM5Qoq1JJo0Ivilc3fq2VpdWUH87q5pyWmCZs3LgkQqgKjFMwL1mBQisbda2iF3ntYRijNN0qQ6woiwwlSsnaY7oQ+siqxT14BFWJzBakyYjmxT3ysw77cE7cHmvGwJoNJqPfrTbYAG1K4bdzXDPEon3c1EwkowQo0wf8OKM+yJQd15RM7mhGIz/thzFZen7drnon2ayn3S9p9izFmWIaYZzTb+WD8jIa02Zm07FIUiJ73KjymWTq8A0e1rqgKxaW8t6CfrfCrQLzZy3ZwtHuGEb3e/qpgpAaomgoRlKwTmJBNvfMXsoHUpRWaeYzRdrzU/V0dP0at+t4Oa/UbqOU8fX9Y5cdyagyafYzxvdblrdy8plj1HlSpspnrTTLI83r52edAn25UrplQP8lKggqfYCgISEiA5geCHtj7KBAXB0wTcAuW8K40BDJfg8FRN8PkRDP455VA3VDChHJMwXm1tZ1sNZq2dUDYADisGrVN5t/HRaswwBjzt3elIbsQISs0N4UXhVIspreI+oX7o7n6gkMsfpGaQxexsbdDhq2JGNIY6dc/ARQYFcdflqQHy02aUHGFWwV6mY3HgxaveiMxoPOQEwk5y7kJzWEiFsFkhKmCfSH2mHHzVvM4E2loSoyO35Iur7H6tPXcatAcbzCzGuWn7pGP1KKqu3WqQVNudk2kC1bYuH08ycOWR9jhDjcfKYLdJNsaMgSmbxXq0IBVQyjjGze4ccZyQq29vRD/8hYaNw/uav01n5isI2l2dU5CdkQoycr2D4QgxAzg58WmFY33fp7N13YxM8pG8KRyhIqw8GXVtQ3SiXKGMGtwgB+Dpdw6NbDwDFxS8+1f7WgPxhhZx1xYGqaTjdhqAx2pZ+djFDenmMWK/pbu3S7OW6lm09ioN+tMK2GX8WZKtHRgx4371i+tEV51JLdOwVrESPUr+wq/Tm3m1oUSetSdU0Fkix+qpvarTzurNFu1te3WDxfUj5U2nc/cZjcbDa+W54b0A+Tp0IJJGvUXa173WRbE93cQb/8OK0GS5w2m3SdI9f04sC2y5xaEmvejxtYQ0p2U0cQSy0Lxg6hxODuy/pYBuagP4+7sOf/q0pCqcam8cTcIWbgOADddk6767Tk1giymyuHv60wjcfsbdPvjXBnNdJ0erGLnDgttZipVN5DcHohxa+55OpdyHBzSoj4UkuoxQ/fQR+IhaYU0/M3MacL7OGI6IRYOLqDfUZvneJ3RwPfX9N+ADE3dGWG6awWUiV1xf00U6ZaTNr//zAfiDSakfAjS5fnGK9AVHRDnb9TopN0CdMF8lmPqT31zUrBw1nP6npOvWe0tmJnYBwa5cQnJ7Q72cCAS/hRBmTYRkMAjdUtDKk24xWLyVaebJ5YPF9pTcU8Ujz2zF8o8cU50Uen+wbiYOH92BGqCckJ/a2R5vLvdzTXqqG7T0KixuXJCuG5KcgU20bGv6MDZbQwrCUcjjaNZ4qTGrNs6ffHmFVPPstorhW46T75owZztmL09myTMVqD3eI122WBsLeF3y5UsawiyRn8dold9eR3T5mGbey8Vc9omWsl66oZsgpR1/YEeSqUwEV39H0ofkok4pALHQA+a3SKq1VXH2M2mzIZdbHIh78ZUPk1YCgyoKhmE0djtRiIoMBKyrVLEMEgAyfgIm5g2h5azt/T2QuAJog55yYUj1rs45UWQ4WkRI75ilQW2EVHGBek3CGN5nnDONuMFhMf8ZMB7RawvUVCsSkpjRbKM+1bkM3UpWwPKrKFR0KkuDfH744IQ2VdcVJjGs/y+RG+2qWbaqqsm2jTkvG9XlNmhXasNUMO3q0i3VRJQpJQr6NWoM5XWh1oOuW092NH82yJL7W9mOw6skXUNN6+eiz9rYLqoWf2XAaS4UcyzCJUBTA6DjQ7ev27AdDKlhHTJu3R4PT45IQUUe6DATEDA3I719TewLwb3ff0E0e3nTG509KP3MZCdlsG0xttSBITttd+EfWBY/SgR4IqxuJRSyzspmgKUKRfRDkYq46wO8acrRTXsYbR68dauBYi3a1t8lXH2SsV0Vbsvtlw+rL2S9j/bcPqM1PyZWJxU7kW7U7CH/Zk445+mZPfy9h5Dcb3Orqdgm5sqK8ZFs9F4jjHrLYoHhlsMybkDBkGwGiDUj+JpCzBv/3w7fd0KIGkFzNMCkzTI3WH+KAbNXPw6GxQDur2y9qlN2ZIx0WN150hEUnWaqGQMQqgrYG+QTbI/YB4v68mYNjM72MrDiFHKjNimW20K6BWqFXwUkRpvbYJlCewullRWfVaTOtpbozICy17tqtOQZ9pvrkI0kVcVOvrVn5oUmKGIpXzuE7bhGm5LslgW7vph6ATaxN+p8Idz0lVjl0K3X5FfZDhmsjqcCDTnEbNrJZCfeDwlVYfumWivq6FN9tveQ0TBrKOLwWJylnXFmHQ7liaPZ2+XB33Oll4FRQY9OqKh0zIFhFGiq6vx8Z1W4Z+rEVCEiPZQtl3IRfEJLK50npDqV5Ffua1RDobajWWSnpKRjMh9fWC8mHH4lrB9N1GFcCW4fizwt7XHPU12dCM+wlaabhKuFaHhPqRIVtp3l8rIoX5s7nOC9hTtuDOG3rtT3/Q4Ks09ABIJNmieCTUzwSKE0soE9c/H7nzB8DujRCzJM8D24cP+Jmtu9zMT/n82Sf44vEtXj64z8/vf4kXsxNu2ZZchONg+BerV/jHx5/m9CcqPrv/Lr9/+7cJyXC332XHrvhEfoQlsWc67oYRfXJk4jmNI6amYUtaHsYRO6bmJ56w/Z4OJfBBuZCCS9Yh21PdhEPOWPoLrnqIrJueJob0XzZ4C84QR9ubxp+htLjhZrFD6k3qVrGFGDdZBLH6/rL+jAFpT9ZqSqyw6zHymi/v13XmkTi0GUtG6+q5VuBqHUTiS0PaHxD5nQzTRdpdh9seRoKJss90OEeu3PeBGru2wsanocuvstaaHUM30WPzpRJYtL+/YfZDBeNrS9o3tohZYvKJM+omY1x17I1XvH3nQOc7ukhcZjrJyAujd50OP/FpaGShzTTqQ2ivDZmAPOJKj68d+IQUkcnOitpElrWe42S0oMw8VhIWmLU6MGTmLc27U7W0Bz3P33rI8XxMmfe4ouNTOw+obM+uW3HcTWmj44cndzh0c77ZHnAWKkamIyIsfEEbdVBqZXsskb/35o8SfORHXn6df3XnJRaPR+CF458UzKTHZTpE9JUbx5y1Jc9MzrhRzjjtKxZ9gZHEST0hl8Q469iRROsd07zhrKvof8by7OSUF0cPeWt5wBuPDwH46Ztv8e5yl89s3+Xdeo+x7fgHh5/hF370S3yyOuLV6m1+c/mDHLg5n7v7X/Df3vot/tIzv8FfrX6cX9n9t3yhvcYt23JoC45DiyHxc5PX+KXp6zQp0SeFtVbJ8snshB0TaRK85bf5wSwCK1bJMjWBw1QTkvCW3+PXTz/DHz/4F0/cbk/FGLLymefSS//9/4Jt0Xpuo7ifeMhWiel7nugUCXbLQPZohVk052DdwNZLlebYw/gcZaSnx1IAAAcWSURBVK4PFe11jVqy/Ew3f36qU2jCwLVWEE57BSYrm6ac3ba68mvrFAoZhm2wifljptVg+Uw/Q2KinwjjB4E4IP/NrtaOdxO1tstbiWwp1Dc9EmQzTsyMPDcPzghJ2C1rYhJGruNWNeMwn2MlcuYr6pBzozgjk8Aq5vzY6G365HgxO+G67fiHyx/glyZv8FpfAfCjecdXO8UN9mzDacx5q7vGJ/MHzGPJ3zr+KfpkuFnOOGkn/NDkHoduzqGbEZJhHiv6ZDFErCR27JLn3Cn3/ZRcAtftgqmJfLXbJxPPLTvnbpiyb1YAvOP3ec494j2/xw17xh2/y3PZQ+76XV4t7lOKMJGMSOSbPrFMjk9lAYPhXugICIdGGJkMg6FNPYFEKY5CMtrUM48dFuEt7/h0Lvx/reFZVzMWw5Yp+ad1we8rZ2RYboeel13F633DLSdMpGCRWkpx3PZ6bzTJYkjcsHAcEyEJx1FbCuUETuOIkdFjf2P2Ge4121S2563FPm1w/N7d2/ypw3/OW/0W/+Pn/xi8W/G//le/xtfrmzxTPOaXpl/ijX6fPbvgUZjw6fwhO8Yxj573hnls+8P7A2RKnGQshkIcPYE2RUJKvBcKLIkXXE+fEl/oDgjJcMOd0aSMH81r9p658/ROJX7mh3fSL/zNX+ComdBFx89f+zJH/RbfWB1yd7mNNZEQDZkN7OQ1i74gIsy7gpPFmJf2HnFYLGij48XRQz5d3QYgk0CfLF2yvNsd8Hx+QpNy/u69z9IGx+/ZecC/ufcCt7ZmvDI95lo259n8Ia83N7mZn3Kv2+G0H7GfL8iGbhovFccsY8G77T4j07HnFoxMy9vtNW43u7wyOuJ6dkYpPU3KaGJGJoHPlO/xTn/AD+UPGIunGyiChzZRiqVJAYve5E3yzGNgxzj6FOlJdEmtaSZa828RwlALES9cw/VzF8VeSC+YwWtq07enTW8IjBeeC9/lvXKxbtOgJG47fK4BMjH0KW6smxXIgFIMRoRVDO873iKbdV88l0AipnT+PVxY9+9G1u998Tu8eP7r9RZyTkzv0Yr2Lhkiwh2/xSoV/FT5gJFYTqOnFOEL7Q77dsknnCeQmMdEKfAgZMxSwTN2sXnfeRJKScyjpZTAMjkyIrnEb/nsJgnNBSaQVR9YH0vCDo8N8Mrz959eJSAix8ASOLnstXwPcsDV+i9bPurn8J97/S+klA4/+ORToQQAROTff5iW+qjI1fovXz7q53BZ6/9evKcruZIr+f+BXCmBK7mSj7k8TUrg/7zsBXyPcrX+y5eP+jlcyvqfGkzgSq7kSi5HniZP4Equ5EouQS5dCYjIHxKR10TkTRH51ctez3crIvKOiHxFRL4oIv9+eG5PRP6JiLwx/N697HWuRUT+uogcichXLzz3oesVlb86XJMvi8irl7fyzVo/bP1/TkTuDNfgiyLycxde+9PD+l8Tkf/yclZ9LiLynIj8MxH5bRH5moj8qeH5y78GKaVL+0F5D98APgHkwJeAT13mmv4j1v4OcPCB5/4i8KvD418F/sJlr/PC2n4WeBX46ndaLzpQ9h+hBOGfBD7/lK7/zwH/24cc+6nhXiqAl4Z7zF7y+m8Crw6Pp8Drwzov/RpctifwE8CbKaW3Ukod8DngFy95Td+L/CLwN4bHfwP4ry9xLe+TlNI/Bx594OknrfcXgb+ZVP4NsCMiN78/K/1wecL6nyS/CHwupdSmlN5GJ2Q/qX7m+yIppXsppS8Mj+fA7wDP8BRcg8tWAs8A7134+/bw3EdBEvAbIvJbIvI/Dc9dTyndGx7fB65fztK+a3nSej9K1+VPDu7yX78Qfj3V6xeRF4HPAp/nKbgGl60EPsryMymlV4E/DPwJEfnZiy8m9ek+MqmXj9p6B/k/gJeB3wvcA/7y5S7nO4uITIC/A/zPKaXZxdcu6xpcthK4Azx34e9nh+eeekkp3Rl+HwF/D3U3H6xdtuH30eWt8LuSJ633I3FdUkoPUkohpRSB/4tzl/+pXL+IZKgC+L9TSn93ePrSr8FlK4F/B3xSRF4SkRz4I8CvXfKavqOIyFhEpuvHwB8Evoqu/ZeHw34Z+PuXs8LvWp603l8D/tiAUP8kcHbBZX1q5AMx8n+DXgPQ9f8RESlE5CXgkzyxr873R0SbXvw14HdSSn/lwkuXfw0uEzG9gIK+jiK4f/ay1/NdrvkTKPr8JeBr63UD+8A/Bd4A/l9g77LXemHN/w/qMvdofPkrT1ovikj/78M1+Qrw40/p+v/WsL4vo5vm5oXj/+yw/teAP/wUrP9nUFf/y8AXh5+fexquwRVj8Equ5GMulx0OXMmVXMkly5USuJIr+ZjLlRK4kiv5mMuVEriSK/mYy5USuJIr+ZjLlRK4kiv5mMuVEriSK/mYy5USuJIr+ZjLfwBYQIhSmDIODgAAAABJRU5ErkJggg==\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["gambar.shape"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"qWtTPG-W7Jfa","executionInfo":{"status":"ok","timestamp":1653745695504,"user_tz":-480,"elapsed":17,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"3b81effb-6245-4e3b-ce77-858db8f437f8"},"execution_count":5,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(225, 225, 3)"]},"metadata":{},"execution_count":5}]},{"cell_type":"code","source":["P"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"eiHtyuId7MKW","executionInfo":{"status":"ok","timestamp":1653745703402,"user_tz":-480,"elapsed":328,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"7850da60-172a-4281-a369-07fa6284a90b"},"execution_count":6,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([[225, 225, 225, ..., 122, 117, 110],\n","       [219, 219, 219, ..., 145, 142, 129],\n","       [217, 217, 217, ..., 137, 137, 128],\n","       ...,\n","       [ 41,  42,  41, ..., 225, 196, 237],\n","       [114, 106,  98, ..., 234, 231, 249],\n","       [207, 196, 186, ..., 241, 241, 242]], dtype=uint8)"]},"metadata":{},"execution_count":6}]},{"cell_type":"code","source":["import numpy as np\n","R_dx,R_dy = np.gradient(P)\n","\n","fig, ax = plt.subplots(ncols=3,figsize=(21,5))\n","ax[0].imshow(P)\n","ax[0].set_title('Memfilter gambar pemandangan')\n","ax[1].imshow(R_dx)\n","ax[1].set_title('dx')\n","ax[2].imshow(R_dy)\n","ax[2].set_title('dy')"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":353},"id":"IhhnVmkY7WxE","executionInfo":{"status":"ok","timestamp":1653745819557,"user_tz":-480,"elapsed":2942,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"7d1da9e0-d2e1-4c07-d115-53dc65c1ad4e"},"execution_count":8,"outputs":[{"output_type":"execute_result","data":{"text/plain":["Text(0.5, 1.0, 'dy')"]},"metadata":{},"execution_count":8},{"output_type":"display_data","data":{"text/plain":["<Figure size 1512x360 with 3 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["P.shape"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"PJ-PGS6q7sHP","executionInfo":{"status":"ok","timestamp":1653745835980,"user_tz":-480,"elapsed":545,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"59e9f526-d241-4a4d-d70a-ce20269295c1"},"execution_count":9,"outputs":[{"output_type":"execute_result","data":{"text/plain":["(225, 225)"]},"metadata":{},"execution_count":9}]},{"cell_type":"markdown","source":["# Calculus Integral"],"metadata":{"id":"_tB-OdvD7us4"}},{"cell_type":"markdown","source":["integral itu menghitung suatu luas \n","\n","Quad -> turunan, dengan batas bawah dan atas\n","\n","Trapezoid -> Metode Integral pake trapesium (masing-masing partisi)"],"metadata":{"id":"SnzV0_8z83KY"}},{"cell_type":"markdown","source":["### Integral symbolic"],"metadata":{"id":"KKdYqXQ2CrrS"}},{"cell_type":"markdown","source":["fungsi soal nya -> f(x) = 2x^2 + 4x -1"],"metadata":{"id":"RXjcnDZIGeWP"}},{"cell_type":"code","source":["import sympy as sy\n","\n","x = sy.Symbol('x')\n","f = 2*x**2+4*x-1\n","f"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":38},"id":"rMbYl65o7ywj","executionInfo":{"status":"ok","timestamp":1653747593392,"user_tz":-480,"elapsed":2071,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"46c15ffa-63e2-4662-a8c5-78c43383212b"},"execution_count":10,"outputs":[{"output_type":"execute_result","data":{"text/plain":["2*x**2 + 4*x - 1"],"text/latex":"$\\displaystyle 2 x^{2} + 4 x - 1$"},"metadata":{},"execution_count":10}]},{"cell_type":"code","source":["sy.integrate(f)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":54},"id":"9skpbd2TCchy","executionInfo":{"status":"ok","timestamp":1653747613876,"user_tz":-480,"elapsed":335,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"056ea681-a748-42e6-d12f-ea7a2a1e25e8"},"execution_count":11,"outputs":[{"output_type":"execute_result","data":{"text/plain":["2*x**3/3 + 2*x**2 - x"],"text/latex":"$\\displaystyle \\frac{2 x^{3}}{3} + 2 x^{2} - x$"},"metadata":{},"execution_count":11}]},{"cell_type":"markdown","source":["### Integral Numerical-Function"],"metadata":{"id":"2xFG_zZ6Cy25"}},{"cell_type":"markdown","source":["fungsi soalnya -> f(x) = 4x^3 - 2x^2 - 4, dengan batas bawah adaah 2 dan batas atas adalah 5"],"metadata":{"id":"FMbRVJqCHF3k"}},{"cell_type":"code","source":["def integral_f(x):\n","  return 4*x**3 + 2*x**2 - x\n","\n","#Integral tertentu dari f(x) dari 2 - 5\n","integral_f(5) - integral_f(2)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"60l6YvARCliB","executionInfo":{"status":"ok","timestamp":1653748127115,"user_tz":-480,"elapsed":10,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"31209bfa-db02-462d-a17d-a4447816287e"},"execution_count":3,"outputs":[{"output_type":"execute_result","data":{"text/plain":["507"]},"metadata":{},"execution_count":3}]},{"cell_type":"code","source":["from scipy import integrate\n","\n","def f(x):\n","  return 4*x**3 + 2*x**2 - x\n","  \n","I = integrate.quad(f,2,5)\n","print(I)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"6vkAgnxSD700","executionInfo":{"status":"ok","timestamp":1653748946372,"user_tz":-480,"elapsed":618,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"94e54e1e-e030-4ed8-bc11-091368faaecb"},"execution_count":14,"outputs":[{"output_type":"stream","name":"stdout","text":["(676.5, 7.510658761589184e-12)\n"]}]},{"cell_type":"markdown","source":["### Numeric - Data points/Array\n","\n","integral numeriknya menghitung permasing-masing titik data misal tti a-x1, x1-x2, x2-x3, x4-x5, x5-b"],"metadata":{"id":"McX9JtD9E_9s"}},{"cell_type":"code","source":["from scipy import integrate\n","import numpy as np\n","\n","def f(x):\n","  return 2*x**2+4*x-1\n","  \n","x = np.linspace(2,5)\n","y = f(x)\n","\n","A = integrate.trapz(y,x)\n","print(A)"],"metadata":{"id":"qzd_nNqSGzXd"},"execution_count":null,"outputs":[]},{"cell_type":"code","source":["x"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"_uktS-usHqxc","executionInfo":{"status":"ok","timestamp":1653748971889,"user_tz":-480,"elapsed":350,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"afc4286f-0fd1-4bbf-de3c-bcabf3e9f31c"},"execution_count":15,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([2.        , 2.06122449, 2.12244898, 2.18367347, 2.24489796,\n","       2.30612245, 2.36734694, 2.42857143, 2.48979592, 2.55102041,\n","       2.6122449 , 2.67346939, 2.73469388, 2.79591837, 2.85714286,\n","       2.91836735, 2.97959184, 3.04081633, 3.10204082, 3.16326531,\n","       3.2244898 , 3.28571429, 3.34693878, 3.40816327, 3.46938776,\n","       3.53061224, 3.59183673, 3.65306122, 3.71428571, 3.7755102 ,\n","       3.83673469, 3.89795918, 3.95918367, 4.02040816, 4.08163265,\n","       4.14285714, 4.20408163, 4.26530612, 4.32653061, 4.3877551 ,\n","       4.44897959, 4.51020408, 4.57142857, 4.63265306, 4.69387755,\n","       4.75510204, 4.81632653, 4.87755102, 4.93877551, 5.        ])"]},"metadata":{},"execution_count":15}]},{"cell_type":"code","source":["y"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"YGp1FZggHsP9","executionInfo":{"status":"ok","timestamp":1653748979342,"user_tz":-480,"elapsed":410,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"f897667a-0870-4122-cafe-446745dcf6c0"},"execution_count":16,"outputs":[{"output_type":"execute_result","data":{"text/plain":["array([15.        , 15.74219075, 16.49937526, 17.27155352, 18.05872553,\n","       18.8608913 , 19.67805081, 20.51020408, 21.3573511 , 22.21949188,\n","       23.09662641, 23.98875469, 24.89587672, 25.8179925 , 26.75510204,\n","       27.70720533, 28.67430237, 29.65639317, 30.65347772, 31.66555602,\n","       32.69262807, 33.73469388, 34.79175344, 35.86380675, 36.95085381,\n","       38.05289463, 39.1699292 , 40.30195752, 41.44897959, 42.61099542,\n","       43.788005  , 44.98000833, 46.18700541, 47.40899625, 48.64598084,\n","       49.89795918, 51.16493128, 52.44689713, 53.74385673, 55.05581008,\n","       56.38275718, 57.72469804, 59.08163265, 60.45356102, 61.84048313,\n","       63.242399  , 64.65930862, 66.091212  , 67.53810912, 69.        ])"]},"metadata":{},"execution_count":16}]},{"cell_type":"markdown","source":["Kita dapat mengukur total nilai y untuk rentang x tertentu menggunakan integral. Misalkan kita ingin mengukur total laba dari supermarket"],"metadata":{"id":"nxV6wPzsIQ6x"}},{"cell_type":"code","source":["#Case Menghitung Total Pendapatan tahun 2019 di Supermarket Cabang Yangon\n","import pandas as pd\n","\n","D = pd.read_csv('/content/supermarket_sales.csv')\n","D"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":676},"id":"QchKD0LGI7YJ","executionInfo":{"status":"ok","timestamp":1653749478030,"user_tz":-480,"elapsed":26,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"ea7193d5-4bfd-4e14-95e2-fcf22d521fa6"},"execution_count":20,"outputs":[{"output_type":"execute_result","data":{"text/plain":["      Invoice ID Branch       City Customer type  Gender  \\\n","0    750-67-8428      A     Yangon        Member  Female   \n","1    226-31-3081      C  Naypyitaw        Normal  Female   \n","2    631-41-3108      A     Yangon        Normal    Male   \n","3    123-19-1176      A     Yangon        Member    Male   \n","4    373-73-7910      A     Yangon        Normal    Male   \n","..           ...    ...        ...           ...     ...   \n","995  233-67-5758      C  Naypyitaw        Normal    Male   \n","996  303-96-2227      B   Mandalay        Normal  Female   \n","997  727-02-1313      A     Yangon        Member    Male   \n","998  347-56-2442      A     Yangon        Normal    Male   \n","999  849-09-3807      A     Yangon        Member  Female   \n","\n","               Product line  Unit price  Quantity   Tax 5%      Total  \\\n","0         Health and beauty       74.69         7  26.1415   548.9715   \n","1    Electronic accessories       15.28         5   3.8200    80.2200   \n","2        Home and lifestyle       46.33         7  16.2155   340.5255   \n","3         Health and beauty       58.22         8  23.2880   489.0480   \n","4         Sports and travel       86.31         7  30.2085   634.3785   \n","..                      ...         ...       ...      ...        ...   \n","995       Health and beauty       40.35         1   2.0175    42.3675   \n","996      Home and lifestyle       97.38        10  48.6900  1022.4900   \n","997      Food and beverages       31.84         1   1.5920    33.4320   \n","998      Home and lifestyle       65.82         1   3.2910    69.1110   \n","999     Fashion accessories       88.34         7  30.9190   649.2990   \n","\n","          Date   Time      Payment    cogs  gross margin percentage  \\\n","0     1/5/2019  13:08      Ewallet  522.83                 4.761905   \n","1     3/8/2019  10:29         Cash   76.40                 4.761905   \n","2     3/3/2019  13:23  Credit card  324.31                 4.761905   \n","3    1/27/2019  20:33      Ewallet  465.76                 4.761905   \n","4     2/8/2019  10:37      Ewallet  604.17                 4.761905   \n","..         ...    ...          ...     ...                      ...   \n","995  1/29/2019  13:46      Ewallet   40.35                 4.761905   \n","996   3/2/2019  17:16      Ewallet  973.80                 4.761905   \n","997   2/9/2019  13:22         Cash   31.84                 4.761905   \n","998  2/22/2019  15:33         Cash   65.82                 4.761905   \n","999  2/18/2019  13:28         Cash  618.38                 4.761905   \n","\n","     gross income  Rating  \n","0         26.1415     9.1  \n","1          3.8200     9.6  \n","2         16.2155     7.4  \n","3         23.2880     8.4  \n","4         30.2085     5.3  \n","..            ...     ...  \n","995        2.0175     6.2  \n","996       48.6900     4.4  \n","997        1.5920     7.7  \n","998        3.2910     4.1  \n","999       30.9190     6.6  \n","\n","[1000 rows x 17 columns]"],"text/html":["\n","  <div id=\"df-999af78e-b502-4a97-8e72-471f33fdc209\">\n","    <div class=\"colab-df-container\">\n","      <div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        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<td>7</td>\n","      <td>26.1415</td>\n","      <td>548.9715</td>\n","      <td>1/5/2019</td>\n","      <td>13:08</td>\n","      <td>Ewallet</td>\n","      <td>522.83</td>\n","      <td>4.761905</td>\n","      <td>26.1415</td>\n","      <td>9.1</td>\n","    </tr>\n","    <tr>\n","      <th>1</th>\n","      <td>226-31-3081</td>\n","      <td>C</td>\n","      <td>Naypyitaw</td>\n","      <td>Normal</td>\n","      <td>Female</td>\n","      <td>Electronic accessories</td>\n","      <td>15.28</td>\n","      <td>5</td>\n","      <td>3.8200</td>\n","      <td>80.2200</td>\n","      <td>3/8/2019</td>\n","      <td>10:29</td>\n","      <td>Cash</td>\n","      <td>76.40</td>\n","      <td>4.761905</td>\n","      <td>3.8200</td>\n","      <td>9.6</td>\n","    </tr>\n","    <tr>\n","      <th>2</th>\n","      <td>631-41-3108</td>\n","      <td>A</td>\n","      <td>Yangon</td>\n","      <td>Normal</td>\n","      <td>Male</td>\n","      <td>Home and lifestyle</td>\n","      <td>46.33</td>\n","      <td>7</td>\n","      <td>16.2155</td>\n","      <td>340.5255</td>\n","      <td>3/3/2019</td>\n","      <td>13:23</td>\n","      <td>Credit card</td>\n","      <td>324.31</td>\n","      <td>4.761905</td>\n","      <td>16.2155</td>\n","      <td>7.4</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>123-19-1176</td>\n","      <td>A</td>\n","      <td>Yangon</td>\n","      <td>Member</td>\n","      <td>Male</td>\n","      <td>Health and beauty</td>\n","      <td>58.22</td>\n","      <td>8</td>\n","      <td>23.2880</td>\n","      <td>489.0480</td>\n","      <td>1/27/2019</td>\n","      <td>20:33</td>\n","      <td>Ewallet</td>\n","      <td>465.76</td>\n","      <td>4.761905</td>\n","      <td>23.2880</td>\n","      <td>8.4</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>373-73-7910</td>\n","      <td>A</td>\n","      <td>Yangon</td>\n","      <td>Normal</td>\n","      <td>Male</td>\n","      <td>Sports and travel</td>\n","      <td>86.31</td>\n","      <td>7</td>\n","      <td>30.2085</td>\n","      <td>634.3785</td>\n","      <td>2/8/2019</td>\n","      <td>10:37</td>\n","      <td>Ewallet</td>\n","      <td>604.17</td>\n","      <td>4.761905</td>\n","      <td>30.2085</td>\n","      <td>5.3</td>\n","    </tr>\n","    <tr>\n","      <th>...</th>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","      <td>...</td>\n","    </tr>\n","    <tr>\n","      <th>995</th>\n","      <td>233-67-5758</td>\n","      <td>C</td>\n","      <td>Naypyitaw</td>\n","      <td>Normal</td>\n","      <td>Male</td>\n","      <td>Health and beauty</td>\n","      <td>40.35</td>\n","      <td>1</td>\n","      <td>2.0175</td>\n","      <td>42.3675</td>\n","      <td>1/29/2019</td>\n","      <td>13:46</td>\n","      <td>Ewallet</td>\n","      <td>40.35</td>\n","      <td>4.761905</td>\n","      <td>2.0175</td>\n","      <td>6.2</td>\n","    </tr>\n","    <tr>\n","      <th>996</th>\n","      <td>303-96-2227</td>\n","      <td>B</td>\n","      <td>Mandalay</td>\n","      <td>Normal</td>\n","      <td>Female</td>\n","      <td>Home and lifestyle</td>\n","      <td>97.38</td>\n","      <td>10</td>\n","      <td>48.6900</td>\n","      <td>1022.4900</td>\n","      <td>3/2/2019</td>\n","      <td>17:16</td>\n","      <td>Ewallet</td>\n","      <td>973.80</td>\n","      <td>4.761905</td>\n","      <td>48.6900</td>\n","      <td>4.4</td>\n","    </tr>\n","    <tr>\n","      <th>997</th>\n","      <td>727-02-1313</td>\n","      <td>A</td>\n","      <td>Yangon</td>\n","      <td>Member</td>\n","      <td>Male</td>\n","      <td>Food and beverages</td>\n","      <td>31.84</td>\n","      <td>1</td>\n","      <td>1.5920</td>\n","      <td>33.4320</td>\n","      <td>2/9/2019</td>\n","      <td>13:22</td>\n","      <td>Cash</td>\n","      <td>31.84</td>\n","      <td>4.761905</td>\n","      <td>1.5920</td>\n","      <td>7.7</td>\n","    </tr>\n","    <tr>\n","      <th>998</th>\n","      <td>347-56-2442</td>\n","      <td>A</td>\n","      <td>Yangon</td>\n","      <td>Normal</td>\n","      <td>Male</td>\n","      <td>Home and lifestyle</td>\n","      <td>65.82</td>\n","      <td>1</td>\n","      <td>3.2910</td>\n","      <td>69.1110</td>\n","      <td>2/22/2019</td>\n","      <td>15:33</td>\n","      <td>Cash</td>\n","      <td>65.82</td>\n","      <td>4.761905</td>\n","      <td>3.2910</td>\n","      <td>4.1</td>\n","    </tr>\n","    <tr>\n","      <th>999</th>\n","      <td>849-09-3807</td>\n","      <td>A</td>\n","      <td>Yangon</td>\n","      <td>Member</td>\n","      <td>Female</td>\n","      <td>Fashion accessories</td>\n","      <td>88.34</td>\n","      <td>7</td>\n","      <td>30.9190</td>\n","      <td>649.2990</td>\n","      <td>2/18/2019</td>\n","      <td>13:28</td>\n","      <td>Cash</td>\n","      <td>618.38</td>\n","      <td>4.761905</td>\n","      <td>30.9190</td>\n","      <td>6.6</td>\n","    </tr>\n","  </tbody>\n","</table>\n","<p>1000 rows × 17 columns</p>\n","</div>\n","      <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-999af78e-b502-4a97-8e72-471f33fdc209')\"\n","              title=\"Convert this dataframe to an interactive table.\"\n","              style=\"display:none;\">\n","        \n","  <svg xmlns=\"http://www.w3.org/2000/svg\" height=\"24px\"viewBox=\"0 0 24 24\"\n","       width=\"24px\">\n","    <path d=\"M0 0h24v24H0V0z\" fill=\"none\"/>\n","    <path d=\"M18.56 5.44l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94zm-11 1L8.5 8.5l.94-2.06 2.06-.94-2.06-.94L8.5 2.5l-.94 2.06-2.06.94zm10 10l.94 2.06.94-2.06 2.06-.94-2.06-.94-.94-2.06-.94 2.06-2.06.94z\"/><path d=\"M17.41 7.96l-1.37-1.37c-.4-.4-.92-.59-1.43-.59-.52 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Ilmi","userId":"07932027707791477475"}},"outputId":"b607a8d0-e6a9-48f9-b141-2d7ad317d482"},"execution_count":21,"outputs":[{"output_type":"execute_result","data":{"text/plain":["    Invoice ID Branch    City Customer type  Gender            Product line  \\\n","0  765-26-6951      A  Yangon        Normal    Male       Sports and travel   \n","1  651-88-7328      A  Yangon        Normal  Female     Fashion accessories   \n","2  416-17-9926      A  Yangon        Member  Female  Electronic accessories   \n","3  530-90-9855      A  Yangon        Member    Male      Home and lifestyle   \n","4  182-52-7000      A  Yangon        Member  Female       Sports and travel   \n","\n","   Unit price  Quantity  Tax 5%    Total      Date   Time      Payment  \\\n","0       72.61         6  21.783  457.443  1/1/2019  10:39  Credit card   \n","1       65.74         9  29.583  621.243  1/1/2019  13:55         Cash   \n","2       74.22        10  37.110  779.310  1/1/2019  14:42  Credit card   \n","3       47.59         8  19.036  399.756  1/1/2019  14:47         Cash   \n","4       27.04         4   5.408  113.568  1/1/2019  20:26      Ewallet   \n","\n","     cogs  gross margin percentage  gross income  Rating  \n","0  435.66                 4.761905        21.783     6.9  \n","1  591.66                 4.761905        29.583     7.7  \n","2  742.20                 4.761905        37.110     4.3  \n","3  380.72                 4.761905        19.036     5.7  \n","4  108.16                 4.761905         5.408     6.9  "],"text/html":["\n","  <div id=\"df-ea4e020b-1d71-446c-bd1d-698376c718ee\">\n","    <div class=\"colab-df-container\">\n","      <div>\n","<style scoped>\n","    .dataframe tbody tr th:only-of-type {\n","        vertical-align: middle;\n","    }\n","\n","    .dataframe tbody tr th {\n","        vertical-align: top;\n","    }\n","\n","    .dataframe thead th {\n","        text-align: right;\n","    }\n","</style>\n","<table border=\"1\" class=\"dataframe\">\n","  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  <td>742.20</td>\n","      <td>4.761905</td>\n","      <td>37.110</td>\n","      <td>4.3</td>\n","    </tr>\n","    <tr>\n","      <th>3</th>\n","      <td>530-90-9855</td>\n","      <td>A</td>\n","      <td>Yangon</td>\n","      <td>Member</td>\n","      <td>Male</td>\n","      <td>Home and lifestyle</td>\n","      <td>47.59</td>\n","      <td>8</td>\n","      <td>19.036</td>\n","      <td>399.756</td>\n","      <td>1/1/2019</td>\n","      <td>14:47</td>\n","      <td>Cash</td>\n","      <td>380.72</td>\n","      <td>4.761905</td>\n","      <td>19.036</td>\n","      <td>5.7</td>\n","    </tr>\n","    <tr>\n","      <th>4</th>\n","      <td>182-52-7000</td>\n","      <td>A</td>\n","      <td>Yangon</td>\n","      <td>Member</td>\n","      <td>Female</td>\n","      <td>Sports and travel</td>\n","      <td>27.04</td>\n","      <td>4</td>\n","      <td>5.408</td>\n","      <td>113.568</td>\n","      <td>1/1/2019</td>\n","      <td>20:26</td>\n","      <td>Ewallet</td>\n","      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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["x = D.index\n","y = D['gross income']\n","\n","total_gross_income_2019 = integrate.trapz(y,x)\n","print('Total Gross Income in 2019:',total_gross_income_2019)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"7xqJuWcHJ1QL","executionInfo":{"status":"ok","timestamp":1653749554370,"user_tz":-480,"elapsed":328,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"1ec2e3e4-a12f-4940-c1f9-e87c4bec4a20"},"execution_count":23,"outputs":[{"output_type":"stream","name":"stdout","text":["Total Gross Income in 2019: 5033.7964999999995\n"]}]},{"cell_type":"code","source":["D['gross income'].sum()"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"twwhXXbmJ7mN","executionInfo":{"status":"ok","timestamp":1653749569730,"user_tz":-480,"elapsed":387,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"476f8350-5423-4b20-ef48-f6dcc800fea4"},"execution_count":24,"outputs":[{"output_type":"execute_result","data":{"text/plain":["5057.1605"]},"metadata":{},"execution_count":24}]},{"cell_type":"code","source":["#Case Menghitung Total gross income antara 3.00-20.00 di Supermarket\n","from scipy import integrate\n","import pandas as pd\n","\n","D = pd.read_csv('/content/supermarket_sales.csv')\n","Data = D[(D['gross income']>=3.00)&(D['gross income'] <=20.00)]"],"metadata":{"id":"wjsfjcSjMHjF","executionInfo":{"status":"ok","timestamp":1653751012827,"user_tz":-480,"elapsed":395,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"execution_count":12,"outputs":[]},{"cell_type":"code","source":["x = Data['gross income']\n","y = Data['Total']"],"metadata":{"id":"vOE7ckCrNx52","executionInfo":{"status":"ok","timestamp":1653751023008,"user_tz":-480,"elapsed":17,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"execution_count":14,"outputs":[]},{"cell_type":"code","source":["total_gross_income = integrate.trapz(y,x)\n","total_gross_income"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"1nHZg4U4Opmv","executionInfo":{"status":"ok","timestamp":1653751024549,"user_tz":-480,"elapsed":7,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"83de4819-924f-421e-beec-f640a8c100c0"},"execution_count":15,"outputs":[{"output_type":"execute_result","data":{"text/plain":["-39.498049499997705"]},"metadata":{},"execution_count":15}]},{"cell_type":"markdown","source":["### Luas Area Lingkaran"],"metadata":{"id":"nTIP8b4zKVsQ"}},{"cell_type":"code","source":["from scipy.integrate import trapz\n","import numpy as np\n","\n","R=30\n","x=np.linspace(-R,R,100000)\n","\n","upper = np.sqrt(R**2 - x**2)\n","lower = -upper"],"metadata":{"id":"9z-SQmWkKe6_","executionInfo":{"status":"ok","timestamp":1653751452121,"user_tz":-480,"elapsed":501,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}}},"execution_count":25,"outputs":[]},{"cell_type":"code","source":["import matplotlib.pyplot as plt\n","fig,ax = plt.subplots(figsize=(6,6))\n","ax.plot(x,upper)\n","ax.plot(x,lower)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":391},"id":"QFgaoSVfPv5D","executionInfo":{"status":"ok","timestamp":1653751454783,"user_tz":-480,"elapsed":902,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"5efc2b19-02a6-47ba-eebc-9f3edc3362ff"},"execution_count":26,"outputs":[{"output_type":"execute_result","data":{"text/plain":["[<matplotlib.lines.Line2D at 0x7f805ba31cd0>]"]},"metadata":{},"execution_count":26},{"output_type":"display_data","data":{"text/plain":["<Figure size 432x432 with 1 Axes>"],"image/png":"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\n"},"metadata":{"needs_background":"light"}}]},{"cell_type":"code","source":["area = trapz(upper,x) - trapz(lower,x)\n","\n","print(area)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"34zsS6fURFGd","executionInfo":{"status":"ok","timestamp":1653751458767,"user_tz":-480,"elapsed":396,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"4fe64b51-1402-48c4-daab-0e06af5c481f"},"execution_count":27,"outputs":[{"output_type":"stream","name":"stdout","text":["2827.4332935647208\n"]}]},{"cell_type":"code","source":["def upper(x):\n","  return np.sqrt(R**2 - x**2)\n","\n","def lower(x):\n","  return -np.sqrt(R**2 - x**2)\n","\n","area = integrate.quad(upper,-R,R)[0] - integrate.quad(lower,-R,R)[0]\n","print(area)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"R3sHN55cRNEN","executionInfo":{"status":"ok","timestamp":1653751472692,"user_tz":-480,"elapsed":836,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"fc777f47-1f2a-4735-a9ad-eca1b737812d"},"execution_count":28,"outputs":[{"output_type":"stream","name":"stdout","text":["2827.433388230819\n"]}]},{"cell_type":"code","source":["print(np.pi*R**2)"],"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"xevTCFZLRRBk","executionInfo":{"status":"ok","timestamp":1653751490670,"user_tz":-480,"elapsed":398,"user":{"displayName":"Hillidatul Ilmi","userId":"07932027707791477475"}},"outputId":"23e20f16-0934-417e-9aea-012d56b9b9e5"},"execution_count":29,"outputs":[{"output_type":"stream","name":"stdout","text":["2827.4333882308138\n"]}]}]}