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"cells": [
{
"cell_type": "markdown",
"source": [
"# Data visualization"
],
"metadata": {
"id": "VMc9QqsouY7J"
}
},
{
"cell_type": "markdown",
"source": [
"## Matplotlib"
],
"metadata": {
"id": "OZOOAVilxa0T"
}
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"id": "2R7Nj1f0ttck"
},
"outputs": [],
"source": [
"import
numpy as np\n",
"import pandas as pd\n",
"from matplotlib import
pyplot as plt # or import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"source": [
"%matplotlib inline"
],
"metadata": {
"id": "AMk2rVDKwaT4"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "markdown",
"source": [
"\n",
"With this backend, the output of plotting commands is displayed inline within frontends like the Jupyter notebook, directly below the code cell that produced it. The resulting plots will then also be stored in the notebook document.\n",
"More about magic functions is [here](
https://ipython.readthedocs.io/en/stable/interactive/tutorial.html#magics-explained)"
],
"metadata": {
"id": "6s07nC8ww7sQ"
}
},
{
"cell_type": "markdown",
"source": [
"### Linear plot"
],
"metadata": {
"id": "mVT3G_kexhwj"
}
},
{
"cell_type": "code",
"source": [
"# Повертає рівномірно розташовані числа у вказаному інтервалі.\n",
"x = np.linspace(0, 4 * np.pi, 100)\n",
"x"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "BDY0NRryxPL6",
"outputId": "a0e8cb40-98f2-4a28-c821-9da0ecc8bdb3"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"array([ 0. , 0.12693304, 0.25386607, 0.38079911, 0.50773215,\n",
" 0.63466518, 0.76159822, 0.88853126, 1.01546429, 1.14239733,\n",
" 1.26933037, 1.3962634 , 1.52319644, 1.65012947, 1.77706251,\n",
" 1.90399555, 2.03092858, 2.15786162, 2.28479466, 2.41172769,\n",
" 2.53866073, 2.66559377, 2.7925268 , 2.91945984, 3.04639288,\n",
" 3.17332591, 3.30025895, 3.42719199, 3.55412502, 3.68105806,\n",
" 3.8079911 , 3.93492413, 4.06185717, 4.1887902 , 4.31572324,\n",
" 4.44265628, 4.56958931, 4.69652235, 4.82345539, 4.95038842,\n",
" 5.07732146, 5.2042545 , 5.33118753, 5.45812057, 5.58505361,\n",
" 5.71198664, 5.83891968, 5.96585272, 6.09278575, 6.21971879,\n",
" 6.34665183, 6.47358486, 6.6005179 , 6.72745093, 6.85438397,\n",
" 6.98131701, 7.10825004, 7.23518308, 7.36211612, 7.48904915,\n",
" 7.61598219, 7.74291523, 7.86984826, 7.9967813 , 8.12371434,\n",
" 8.25064737, 8.37758041, 8.50451345, 8.63144648, 8.75837952,\n",
" 8.88531256, 9.01224559, 9.13917863, 9.26611167, 9.3930447 ,\n",
" 9.51997774, 9.64691077, 9.77384381, 9.90077685, 10.02770988,\n",
" 10.15464292, 10.28157596, 10.40850899, 10.53544203, 10.66237507,\n",
" 10.7893081 , 10.91624114, 11.04317418, 11.17010721, 11.29704025,\n",
" 11.42397329, 11.55090632, 11.67783936, 11.8047724 , 11.93170543,\n",
" 12.05863847, 12.1855715 , 12.31250454, 12.43943758, 12.56637061])"
]
},
"metadata": {},
"execution_count": 7
}
]
},
{
"cell_type": "code",
"source": [
"plt.plot(x);"
],
"metadata": {
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"height": 430
},
"id": "Wdsm8B1QzfT0",
"outputId": "420bd2ba-7191-47e7-e538-4ff31ad77da8"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"plt.plot(np.sin(x));"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "GY7e_I6FyGej",
"outputId": "e084d0a1-6ddc-46d3-fac1-50b3035dd585"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"plt.plot(x, np.sin(x));"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "VvqC_15GyWVa",
"outputId": "2f1ccb03-b11a-4ef7-ba69-76616fc16df9"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"Multiple line plots in the same graph"
],
"metadata": {
"id": "QZ018YgRz3NQ"
}
},
{
"cell_type": "code",
"source": [
"plt.plot(x, np.sin(x))\n",
"plt.plot(x, np.cos(x));"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "DuKx2s0Oz6n2",
"outputId": "f97d75e4-d5c9-476a-b395-2ead9ce72f69"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"plt.plot(x, np.sin(x), x, np.cos(x));"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "jXWPHJgt0jUb",
"outputId": "bbb2f8d3-89b8-47b7-f331-76fc483d1c80"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"### Basic formatting and styles"
],
"metadata": {
"id": "DfMaBmZR1ewF"
}
},
{
"cell_type": "markdown",
"source": [
"#### Line colors\n",
"More abouts colors is [here](
https://matplotlib.org/stable/gallery/color/named_colors.html)"
],
"metadata": {
"id": "KS_g4eEo0nkt"
}
},
{
"cell_type": "code",
"source": [
"plt.plot(x, np.sin(x - 0), color='blue') # by name\n",
"plt.plot(x, np.sin(x - 1), color='g') # by short name (rgbcmyk)\n",
"plt.plot(x, np.sin(x - 2), color='0.75') # shades of grey from 0 to 1\n",
"plt.plot(x, np.sin(x - 3), color='#FFDD44') # Hex code (RRGGBB from 00 to FF)\n",
"plt.plot(x, np.sin(x - 4), color=(1.0,0.2,0.3)) # RGB format, each from 0 to 1\n",
"plt.plot(x, np.sin(x - 5), color='chartreuse'); # CSS color names"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "3161Na3t0p8P",
"outputId": "a752f6b8-dacd-4eea-d152-7eda675dc65f"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"#### Line style"
],
"metadata": {
"id": "AxkwUXsU1kXr"
}
},
{
"cell_type": "code",
"source": [
"plt.plot(x, x + 0, linestyle='solid', linewidth=2)\n",
"plt.plot(x, x + 1, linestyle='dashed', linewidth=3)\n",
"plt.plot(x, x + 2, linestyle='dashdot', linewidth=4)\n",
"plt.plot(x, x + 3, linestyle='dotted', linewidth=5);"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "yQMbt1Eo1qL2",
"outputId": "bdda0cdd-3b05-43b5-e47c-400f10583166"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"# For short, you can use the following codes:\n",
"plt.plot(x, x + 4, linestyle='-') # solid\n",
"plt.plot(x, x + 5, linestyle='--') # dashed\n",
"plt.plot(x, x + 6, linestyle='-.') # dashdota\n",
"plt.plot(x, x + 7, linestyle=':'); # dotted"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "JlH-Xifp18Qs",
"outputId": "8234451c-db14-4bba-8290-70a5e7224e7d"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"# linea style + color:\n",
"plt.plot(x, x + 0, '-g', linewidth=2) # solid green\n",
"plt.plot(x, x + 1, '--c', linewidth=2) # dashed cyan\n",
"plt.plot(x, x + 2, '-.k', linewidth=2) # dashdot black\n",
"plt.plot(x, x + 3, ':r', linewidth=2); # dotted red"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "Y_AI_Sk-2Rw6",
"outputId": "fa7feeba-6204-45a7-fb5e-85eb98f379cd"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"#### Plot limits"
],
"metadata": {
"id": "VNkz7g0M4ZTT"
}
},
{
"cell_type": "code",
"source": [
"plt.plot(x, np.sin(x))\n",
"plt.xlim(-1, 11)\n",
"plt.ylim(-1.5, 1.5);"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 435
},
"id": "rld6Yi8S4duK",
"outputId": "33c61e9e-4624-43e3-9c9e-039d7fd050b8"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"plt.plot(x, np.sin(x))\n",
"plt.axis([-1, 11, -1.5, 1.5]);"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 435
},
"id": "nGHNbgwk4tFN",
"outputId": "d911fcdc-d3fa-42e5-d543-7efb0037b512"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"# changes limits of x or y axis so that equal increments of x and y have the same length; a circle is circular.:\n",
"plt.plot(x, np.sin(x))\n",
"plt.axis('scaled');"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 141
},
"id": "NwGh9gTA4_4r",
"outputId": "8bdf51ce-6767-4663-f0ce-e44f47c02a78"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"# achieves the same result by changing the dimensions of the plot box instead of the axis data limits.\n",
"# адаптує межі графіку для щільного розташування точок даних.\n",
"plt.plot(x, np.sin(x))\n",
"plt.axis('tight');"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "cMdWQbfm6YKH",
"outputId": "3506c634-5671-40e5-ee1c-14ab9d6831ff"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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AFQBgztgYWTe3HYgpw02YlGiE3eHEh8UVcodDNGhMcALMjpN1qLZ1IDJUi+vSYuUOp9+uHh8LU4gWNU0d2HW6Xu5wiAZlkzvB+bdpiTJHMjBSsfF7e7maivwfE5wA84F7euoH05Kg18i7Y/FA6DQq3DDV9cfgI149kh87Ud2EY9VN0KoF5E5KkDucAbkpPQlqlYAjVTacq2+ROxyiQWGCE0Ca2jux+bAZAHBLlv9MT0kWZrgKov910Mx9cchvSaM3V4+LhSlUK3M0AxMVpvNsJ/GvQ2aZoyEaHCY4AeRfh8xo73QiNTYM6SNMcoczYFekRCPRZEBTR5enSSGRPxFFEZsOuArlb/Sz6SnJgimuUad/HaySORKiwfFJgrN+/XqkpKTAYDAgOzsbBQUFFz322muvhSAIF9xuvPFGzzF33nnnBb9fsGCBL96KokknpIUZwxW/LLU3KpWAm9zL2rmaivzRUXMTTtW2QKdR4fuTlLf/W3/kTk6AIAD7y60ob+TWDeS/vJ7gvPPOO1i9ejUeeeQRFBUVIT09Hbm5uaip6f0K/YMPPkBVVZXndujQIajVatx66609jluwYEGP4/75z396+60oWnNHF3acdBXnSldg/uhm92qqvKM1sLV3yhwN0cBIozfXjo9FhMG/pqcksRF6XJESDQDYzGkq8mNeT3CeeeYZLF++HEuXLsWkSZPw4osvIjQ0FBs2bOj1+OjoaCQkJHhuW7ZsQWho6AUJjl6v73FcVJSyO4V629fHamB3ODE6Jgzj4sLlDueyTUyMwLi4cNi7nDy5kl8RRdGzPPzf/KDBZl9ukKap+B0kP+bVBMdut6OwsBA5OTndL6hSIScnB/n5+f16jldffRWLFi1CWFhYj/u//vprxMXFYcKECbjnnntQX3/xpcUdHR2w2Ww9boHm88PVAID5k+P9cnpKIggCbnYXG0vFmkT+4HClDWfrW2HQqjAvLU7ucAZlwRRX/VDhuUaYre0yR0N0ebya4NTV1cHhcCA+vudcdHx8PMzmS18ZFBQU4NChQ7j77rt73L9gwQK88cYbyMvLw5NPPolt27bh+uuvh8PR+8qbdevWwWQyeW7JycmX/6YUqKPLga+Ouqb85vvZstTeSFNsu07Vo7mjS+ZoiPrnE/f01PfS4hCm18gczeAkmAyYPjISAPD5YY7ikH9S9CqqV199FVOnTsXMmTN73L9o0SLcdNNNmDp1KhYuXIhNmzZhz549+Prrr3t9njVr1sBqtXpuZWWBtddKvjsRiIvQIzM5Uu5wBm1MbDhShoXC7nDim+O1codDdEk9pqem+ff0lETqS/WvQxxJJf/k1QQnJiYGarUa1dXVPe6vrq5GQkLfIw0tLS14++23sWzZsku+TmpqKmJiYnDy5Mlef6/X62E0GnvcAskXR1yf7/cnxUOl8t/pKYkgCJ69qbaUVF/iaCL5uVYctSFUp8Z1E/x7ekqSO9l1ji4404C65g6ZoyEaOK8mODqdDllZWcjLy/Pc53Q6kZeXh1mzZvX52Pfeew8dHR24/fbbL/k65eXlqK+vR2Kif/adGAynU8SWI1L9jf9PT0ly3Etsvzpagy6HU+ZoiPq25YhrGue6tDiE6Pyng3hfkqNDMW2ECU7RtQEnkb/x+hTV6tWr8fLLL+P1119HSUkJ7rnnHrS0tGDp0qUAgCVLlmDNmjUXPO7VV1/FwoULMWzYsB73Nzc34/7778euXbtw9uxZ5OXl4eabb8bYsWORm5vr7bejOPvKGlHb1IEIg8bTgTQQzBgVBVOIFo2tnSgqtcgdDlGfth51TaXmTAyM0RuJp+kfp6nID3k9wbntttvw9NNPY+3atcjIyEBxcTE2b97sKTwuLS1FVVXPL8+xY8fw7bff9jo9pVarceDAAdx0000YP348li1bhqysLHzzzTfQ6/XefjuKI11ZfS8tDjqNokuqBkSjVuF77pUoX3KaihSs0tKGkiobBAG4ZnxgJTjXu1dT7TxVj8YWu8zREA2MT0r9V65ciZUrV/b6u94KgydMmABRFHs9PiQkBJ9//vlQhue3RFH0rHAIhNVT35UzMR4b91XgyyPV+M0NE+UOh6hXX7m3FZk+MgrRYTqZoxlao2PCMDHRiJIqG74sqcatMwJrBSoFtsC55A9CJ2qacba+FTqNCtdMiJU7nCF39fgYaNUCTte14FRts9zhEPVqa4krwfmen/e+uZjvu6fdvj7GFY3kX5jg+LHP3V1G546NQbif993oTYRBiyvddUVfHuE0FSlPe6cDO07VAQjcBOda9/v65kQtC/7JrzDB8WOfu1du5E72z039+kPasJB1OKRE+afq0d7pRJLJgLSECLnD8Yr0EZGICtXC1t6FfWUWucMh6jcmOH7KbG3HoQpXYeO8iYGb4EjvrfBcI+rZi4MUJu+oK/G+Li3Or7dI6YtaJeCqca4pcKljOpE/YILjp7a7O/ymj4hETHjgrh4bHhmCSYlGOEXgK9YAkIKIooiv3MvD5wXY8vDvui7NleCwDof8CRMcP7XNneBcMz7wiou/S2r6xzocUpJj1U2osLRBr1FhVmqM3OF41dXjYiEIwJEqG6pt3HyT/AMTHD/kcIr49qSrsPHqIEhwvu+eptp+ohbtnb1vqErka3nu1VNzxsYETPfiixkWrse04SYAwDaO4pCfYILjh/aXW2Bt64TRoEH6CJPc4XjdlOFGJBgNaLU7sPtMg9zhEAHorkcJ1NVT33Wte4+tr4+zDof8AxMcPyRdQV01LhYadeD/EwqCgKvHu6YAvj3Bq0eSX0OLHUWljQBcBcbB4Fp3r61vjtehk8vFyQ8E/l/HALTd/Ude+qMfDOa6V3F8c6JO5kiIgG3Ha+AUgbSECAyPDJE7HJ+YNiIS0WE6NHV0oehco9zhEF0SExw/Y2m1Y7+7F0Uw1N9I5o6NgSAAR81NqGGRI8lM2lwzWKanANdy8avHuS6quKKR/AETHD/z7ck6OEVgfHw4Ek3BceUIANFhOkxOMgKAp8CaSA4Op+hp0xBMCQ5wXh3OMdbhkPIxwfEz24Noefh3Sc3GvuU0FcnocKUV1rZOROg1yEiOlDscn7p6fKxnJNVs5UgqKRsTHD8iiqKn/00wTU9JrnIPj39zsu6iu80TeZs0gnjlmGFBUeR/vugwHdJHRALgKA4pX3B9O/3c8epmVNs6YNCqcEVKtNzh+FzWqCiEaNWoberAseomucOhILXDneDMHRs8Rf7nk1ZTsasxKR0THD+yzd1/4srUYTBoA7uxWG/0GjWyU12J3TfHOU1Fvtfe6cCes64VRHOCNMG5zl2H8+3JOu4uTorGBMePbHf/Ub96XPBNT0mkq+bt7IdDMth7thH2LicSjAaMiQ2TOxxZTBlugilEi+aOLhyosModDtFFMcHxE632LhS4u/heMyF4Exyp9qjgTAO3bSCfk+pv5oyNCdjdwy9FrRJwpXskNf9UvczREF0cExw/sft0A+wOJ4ZHhiA1JjivHAFgXFw44o16dHQ5sfcsm42Rb3nqb8YNkzkSeUnTcztPcaqYlIsJjp/w7B4+ITZorxwB17YNc8e6uxqf5DQV+U5jix2HKl1TMnPGBGf9jWT2GFeCt/dsI0dSSbGY4PgJaSg4WFdunE/aooKFxuRL+afrIbqbbMYZDXKHI6sxseGIi3CNpEp7chEpDRMcP1Df3L0s+srU4B4aB7qHx49U2VDX3CFzNBQszq+/CXaCIHhGcXaeZB0OKRMTHD+w67SruDgtIQLRYTqZo5FfTLgekxJd2zbs4LYN5CPB3v/mu2azDocUjgmOH8g/7TqBzBrD0RuJ1NV4O6epyAfKGlpxrr4VapWAbI6iAuiuw9lfbkVzR5fM0RBdiAmOH5Dqb2bxxOox153g7Dpdz20byOuk0ZvM5EiE6zUyR6MMI6JCMWpYKBxOEQVnOE1FysMER+Gqbe04VdsCQQCyRzPBkWSNioJWLaDC0obyxja5w6EAx/qb3rEOh5SMCY7C7TrtOnFMTjLCFKqVORrlCNVpMM296V/+aZ5cyXucThE7pVWM45jgnG+We7n8Djb8IwVigqNwnJ66OKmb6i4mOORFJWYbGlrsCNOpkZEcKXc4iiKdl0qqXJ8RkZIwwVE4aXSCBcYXkpbM73avMiPyBmn6ZeboaGjVPGWeLzZCjwnxEQB4oUHKw2+rglVa2jwrN65IiZY7HMXJGhUFjcpVh1PW0Cp3OBSgdp/hRUZfZo91fS5s2UBKwwRHwaTpqSnDTYgwsP7mu1x1OCYAvHok73A6Rc8mtyzy791sdx0ON94kpfFJgrN+/XqkpKTAYDAgOzsbBQUFFz32tddegyAIPW4GQ8+26KIoYu3atUhMTERISAhycnJw4sQJb78Nn/NMT7H+5qKkaapdnKYiLzhqboKtvQthOjUmJxnlDkeRslOjoRKA03UtqLJyRSMph9cTnHfeeQerV6/GI488gqKiIqSnpyM3Nxc1NTUXfYzRaERVVZXndu7cuR6/f+qpp/Dss8/ixRdfxO7duxEWFobc3Fy0t7d7++34lKfAmEPjF9Wd4PDqkYaeND2VlRINDetvemU0aDHVvaJxB5eLk4J4/Rv7zDPPYPny5Vi6dCkmTZqEF198EaGhodiwYcNFHyMIAhISEjy3+Ph4z+9EUcRf/vIX/Pa3v8XNN9+MadOm4Y033kBlZSU+/PBDb78dnylraEWFpQ0alYAZo6LkDkexWIdD3tQ9PcUauL5I/XB280KDFMSrCY7dbkdhYSFycnK6X1ClQk5ODvLz8y/6uObmZowaNQrJycm4+eabcfjwYc/vzpw5A7PZ3OM5TSYTsrOzL/qcHR0dsNlsPW5KJ43epCdHIoydUy8qTN9dh7P7DKepaOiIosgEp59muj+fPWf5HSTl8GqCU1dXB4fD0WMEBgDi4+NhNpt7fcyECROwYcMGfPTRR/jHP/4Bp9OJ2bNno7y8HAA8jxvIc65btw4mk8lzS05OHuxb8zrW3/RfNqepyAtO1TajvsUOvUblaSpJvcsaFQVBAM7Wt6LGFlilAuS/FDepPGvWLCxZsgQZGRm45ppr8MEHHyA2NhZ//etfL/s516xZA6vV6rmVlZUNYcRDTxRF1t8MAOtwyBukwvXpI6Og0yjuVKkoRoMWkxJdRdgFHMUhhfDqtzYmJgZqtRrV1dU97q+urkZCQkK/nkOr1SIzMxMnT54EAM/jBvKcer0eRqOxx03Jzta3wmxrh06tQhbrby5pxqgoqFUCyhvbUN7IOhwaGtKUZ3Yqp6f6Q+rVVcCpYlIIryY4Op0OWVlZyMvL89zndDqRl5eHWbNm9es5HA4HDh48iMTERADA6NGjkZCQ0OM5bTYbdu/e3e/nVLo97hNEerIJBq1a5miUr0cdDpeL0xBw1d+4RgTZ/6Z/pDolJjikFF4fd129ejVefvllvP766ygpKcE999yDlpYWLF26FACwZMkSrFmzxnP8o48+ii+++AKnT59GUVERbr/9dpw7dw533303ANcKq1WrVuEPf/gDPv74Yxw8eBBLlixBUlISFi5c6O234xPSEC+7F/ef9EeI01Q0FM7Vt6La1gGdWoXMkZFyh+MXZrjPV8eqm2Bt7ZQ5GiLA68tzbrvtNtTW1mLt2rUwm83IyMjA5s2bPUXCpaWlUKm686zGxkYsX74cZrMZUVFRyMrKws6dOzFp0iTPMQ888ABaWlqwYsUKWCwWzJ07F5s3b76gIaC/2islOFy50W9XpkbjxW2nsOsMExwavAKOog5YbIQeqbFhOF3bgr3nGjBvYvylH0TkRYIoiqLcQfiazWaDyWSC1WpVXD1OTVM7Zj6eB0EAitfOhymEWzT0R3NHF9J//wUcThE7HvoehkeGyB0S+bHV7xbjg6IK3HvdGNyfmyZ3OH7jofcP4O09Zfjp1alYc8NEucOhADSQv99cGqAwe882AgDSEoxMbgYgXK/BlOFSHQ5HcWhwpFou1t8MjNQPhz2pSAmY4CiMNDR+RQpXTw3UTPdntvdco8yRkD8rb3R1EVerBK5iHCApwTlUYUWrvUvmaCjYMcFRmL3nWGB8uaQix8KzTHDo8kkXGVOGm9hFfIBGRIUiyWRAl1PEvlKL3OFQkGOCoyBN7Z04UunaRoIJzsBJe3ZxFQcNhpTgXMki/8syk8vFSSGY4CjIvlILnCKQHB2CBFNgrAjzpWHheqTGhAEACkt5cqXLI9WPzGSCc1muYIJDCsEER0H2sP/NoM1w1+Hs4TQVXYbapg6cqWuBIHRPedLASA3/9pU1wt7llDkaCmZMcBSECc7gsQ6HBqPQXQM3IT6Cqxgv05jYcESH6dDe6cTBCqvc4VAQY4KjEPYup6cojwnO5ZM+u+JyCzq6HDJHQ/5GatPA1VOXTxAEzypQTlORnJjgKMTBCis6upyIDtNhTGyY3OH4rZRhoRgWpoO9y4lDvHqkAZJaDMxgm4ZBkS409nBncZIRExyFkLZnmDEqCoIgyByN/xIEgXU4dFnaOx04XOlKirNGchR1MKQGiXvONsDhDLpm+aQQTHAUQrrS4cqNwZOuHvcywaEB2F9mQadDRGyEHsnR3OpjMCYmRiBMp0ZTexdO1DTJHQ4FKSY4CuB0iucNjTPBGSypfqLwXAOcvHqkfiosdX8HOYo6aBq1ChnuXdgL2VmcZMIERwFO1jbD0tqJEK0ak5OUtfmnP5qcZIJBq0JjaydO1zXLHQ75iUIWGA+prJHShQYTHJIHExwFkKanMkdGQqvmP8lg6TQqZCRHAuA0FfWP0yl2j+BwFHVIZEktG5jgkEz411QB9pxh/5uh1r2KgydXurTTda5RVINWxVHUIZKRHAlBAM7Vt6K2qUPucCgIMcFRgO4rRw6NDxVpmkHavJSoL9JIX/oIjqIOFVOIFuPjIgAARaW80CDf4zdZZjVN7ShraIMgwDOtQoM3fVSU5+qxpqld7nBI4dj/xjumuy80ijhNRTJggiOzonMWAK7W8BEGtoYfKkaDFmkJrqkGbttAlyLVicwYxWniodQ9ksrvIPkeExyZSUO307lyY8jNGMWGf3Rpdc2uDTYBYPpIfg+HkvQdPFhu5dYp5HNMcGQmXTlm8cQ65KTpBtbhUF+k7+D4+HCYQjmKOpRGSVunOJw4VGGTOxwKMkxwZNTR5fDstsveG0NPWu57pNKGNjuvHql3Un1IFqenhpwgCKzDIdkwwZHR4Uob7O4NNkcNC5U7nICTZDIg3qhHl1PEgXKL3OGQQu09xwZ/3sQVjSQXJjgykq5opo9ka3hvEATBU1NRVGqRNxhSpPZOBw6Wu0ZRZzDB8YrurVMsEEVunUK+wwRHRt0FxpHyBhLAuhMcDo/ThQ5VWGF3OBETzlFUb5k63AStWkBdcwfKGtrkDoeCCBMcmYiiyAJjH5CSx32ljbx6pAucPz3FUVTvMGjVmDLcBAAoLOU0FfkOExyZVFrbUW3rgEYlYNqISLnDCViTk6SrRzuvHukCRay/8QnpIo57w5EvMcGRiTR6MynJiBCdWuZoApdBq8bkJNfVI6ep6HyiKHpqs9j/xru663D4HSTfYYIjk/MLjMm7WIdDvSlvbENdcwe0asEzhULeISU4x6qb0NTeKXM0FCyY4MiEHYx9R6rDYYJD55P+e5iUaIRBy1FUb4ozGpAcHQJRBIrLLHKHQ0GCCY4M2uwOHKl0dfXk3L/3SSM4JVVNaLV3yRwNKcU+9/RUJkdRfYJ1OORrTHBkcKDcgi6niHijHkkmg9zhBLykyBAkGA1wOEUccPc8IdrnHsHJHBkpbyBBQrqY28cRHPIRnyQ469evR0pKCgwGA7Kzs1FQUHDRY19++WVcddVViIqKQlRUFHJyci44/s4774QgCD1uCxYs8PbbGDKFpVya6mucpqLztXc6cNg9iso6ON+QRsqKSxvhdLJlA3mf1xOcd955B6tXr8YjjzyCoqIipKenIzc3FzU1Nb0e//XXX+PHP/4xvvrqK+Tn5yM5ORnz589HRUVFj+MWLFiAqqoqz+2f//ynt9/KkGGBse95Co25ioPgavDX5RQRG6HHiKgQucMJChMSImDQqmBr78Lpuma5w6Eg4PUE55lnnsHy5cuxdOlSTJo0CS+++CJCQ0OxYcOGXo9/88038fOf/xwZGRlIS0vDK6+8AqfTiby8vB7H6fV6JCQkeG5RUf6RLPRYmsr6G5/JPG/LBjb8I2kkLzM5kqOoPqJVqzBteCQAbp1CvuHVBMdut6OwsBA5OTndL6hSIScnB/n5+f16jtbWVnR2diI6uudOv19//TXi4uIwYcIE3HPPPaivr7/oc3R0dMBms/W4yeVsfSsaWuzQqVWYnGSULY5gM2W4ETq1Cg0tdpyrb5U7HJLZPl5kyEKqd9rHBId8wKsJTl1dHRwOB+Lj43vcHx8fD7PZ3K/nePDBB5GUlNQjSVqwYAHeeOMN5OXl4cknn8S2bdtw/fXXw+Fw9Poc69atg8lk8tySk5Mv/00NklTYOGW4EXoNl6b6il6jxuThroSSdTjBzTWK2j2CQ77TneDwO0jep+hVVH/84x/x9ttvY+PGjTAYulcbLVq0CDfddBOmTp2KhQsXYtOmTdizZw++/vrrXp9nzZo1sFqtnltZWZmP3sGF9rFzqmzY8I8AoMq9TYqa26T4nDRVfLy6Cc0dbNlA3uXVBCcmJgZqtRrV1dU97q+urkZCQkKfj3366afxxz/+EV988QWmTZvW57GpqamIiYnByZMne/29Xq+H0WjscZPLvjJpaSoTHF/rLjS2yBsIyUpKcCcmRnCbFB+LNxowPDIETtHVLoPIm7ya4Oh0OmRlZfUoEJYKhmfNmnXRxz311FN47LHHsHnzZsyYMeOSr1NeXo76+nokJiYOSdze0mZ3oKSqCQCQwd4bPictFT9qtqGFV49Bi6Oo8spgHQ75iNenqFavXo2XX34Zr7/+OkpKSnDPPfegpaUFS5cuBQAsWbIEa9as8Rz/5JNP4uGHH8aGDRuQkpICs9kMs9mM5mbXssLm5mbcf//92LVrF86ePYu8vDzcfPPNGDt2LHJzc739dgblUKUVDqeIuAg2+JNDoikESSYDnCKwn1ePQauIDf5kJdU9McEhb9N4+wVuu+021NbWYu3atTCbzcjIyMDmzZs9hcelpaVQqbrzrBdeeAF2ux0//OEPezzPI488gt/97ndQq9U4cOAAXn/9dVgsFiQlJWH+/Pl47LHHoNfrvf12BuX8zqlcmiqPzFFRqDxQhX2lFsweEyN3OORjHV0OHK5ggz85eRr+lTVCFEWeC8lrvJ7gAMDKlSuxcuXKXn/33cLgs2fP9vlcISEh+Pzzz4coMt/i3jfyy0yOxKfuBIeCz+FKG+wOJ6LDdBgZHSp3OEFpcpIRWrWAumY7yhvbkMx/B/ISRa+iCjTSLroZXJoqG2laoriMDf+CUXcXcY6iysWgVWNSkgkAVzSSdzHB8ZEqaxuqrO1QCcC0ESa5wwlak5NM0KgE1DV3oMLSJnc45GPSRo8cRZUX63DIF5jg+Eix+4uclmBEqM4nM4PUC9fVo6tNAE+uwWffORYYK4Gn4R93FicvYoLjI57pKZ5YZSdNERbz5BpUqm3tqPSMokbKHU5Qkwq8j1Ra0d7Zewd6osFiguMjngJj1t/ILsMzPM75/2AifQfHx0cgXM9RVDmNiApBTLgOnQ4Rhyvl2xuQAhsTHB/odDhxoMICgHP/SiD9GxyqtMHe5ZQ5GvKV7i7ikfIGQhAEwfM95IUGeQsTHB84Zm5Ce6cTRoMGqTFhcocT9FKGhSIyVAt7lxNHzbx6DBZSHRxXMSoDdxYnb2OC4wNSIV16ciRUKi5NlZsgCOdNU1lkjYV8w+EUcbDCCgDISOYoqhJkJnMEh7yLCY4PdHcw5olVKVhoHFyOVzeh1e5AmE6NsXHhcodDcLXLUAlApbUd1bZ2ucOhAMQExweKPR2MI2WNg7px/j+4FJ83iqrmKKoihOk1GB8fAYAjqeQdTHC8zNJqx+m6FgBABpemKob0b3G2vhWNLXZ5gyGvY/2NMp3fWZxoqDHB8TLpizs6JgxRYTp5gyEPU6jWU/BdzJ3FAx63SVGm7qlijqTS0GOC42Xsf6NcGVzFERSa2jtxvKYJABttKo1U8H2w3AqHk3vD0dBiguNlxZ69byJljYMulMlC46BwsNwKUQSGR4YgLsIgdzh0nrFx4QjTqdFid+CEOwklGipMcLxIFMXzhsa5gkpppELj4tJGOHn1GLD2cXpKsdQqwbNtRjFHUmmIMcHxojN1LbC2dUKvUSEtMULucOg7JiREQK9RwdbehTP1LXKHQ17C+htly2ChMXkJExwvkr6wU4aboFXzo1YarVqFqcNNAHj1GKh6jKJymliR2JOKvIV/db1oP68cFc/TLp6rOAJSpbUdtU0d0KgETEkyyR0O9UKqhTte3YSWji55g6GAwgTHi85vLkbKJNVG8eoxMEkjc2mJEQjRqeUNhnoVZzQgyWSAUwQOlFvlDocCCBMcL2nvdOBIlWsjRy4RVy5pBKekqgltdoe8wdCQkzpVcxRV2ViHQ97ABMdLjlTZ0OkQMSxMhxFRIXKHQxeRaDIgNkIPh1PE4UpePQYarmL0D2z4R97ABMdLzm8NLwjc+0apzt9ZnFePgaXT4TxvB/FIeYOhPnGqmLyBCY6XcGmq/5D+jfbx5BpQjpmb0NHlRIRB49mWg5Rp6nAT1CoB1bYOVFnb5A6HAgQTHC/Z797fiEtTlU+qkdrPBCegnN/gT8UdxBUtRKfGBPfO4mzZQEOFCY4XNLTYca6+FQA8XTpJuaaOMEEQgPLGNtQ1d8gdDg0R7iDuX1hoTEONCY4XSCMBqbFhMIVo5Q2GLinCoMXY2HAAvHoMJFLBKhMc/8CpYhpqTHC8gHvf+B8WGgcWa1snTtW6tt/g99A/SFPFB8ut6HI45Q2GAgITHC/w7CDOE6vfkJoxSrVT5N8OuhvGJUeHYFi4XuZoqD/GxIYjQq9BW6cDJ2qa5Q6HAgATnCEmiuJ5WzSw94a/OH8EhzuL+z9peiqdNXB+Q6USMC3ZvTccR1JpCDDBGWJn61thbeuEjjuI+5UJCREwaFVoau/C6TruLO7v2KbBP3kuNFgLR0OACc4Qk64cpyQZuYO4H9GqVZ7NGHn16N/O30E8k20a/Aob/tFQ8slf4PXr1yMlJQUGgwHZ2dkoKCjo8/j33nsPaWlpMBgMmDp1Kj777LMevxdFEWvXrkViYiJCQkKQk5ODEydOePMt9Fv30lROT/mbDPbDCQgVljbUNduhUQmYzB3E/Uq6e4rqeE0TmrmzOA2S1xOcd955B6tXr8YjjzyCoqIipKenIzc3FzU1Nb0ev3PnTvz4xz/GsmXLsG/fPixcuBALFy7EoUOHPMc89dRTePbZZ/Hiiy9i9+7dCAsLQ25uLtrb2739di7JMzTOK0e/wz4cgUH690tLjIBByx3E/UlchAHDI0MgisABFvzTIHk9wXnmmWewfPlyLF26FJMmTcKLL76I0NBQbNiwodfj/9//+39YsGAB7r//fkycOBGPPfYYpk+fjueffx6Aa/TmL3/5C37729/i5ptvxrRp0/DGG2+gsrISH374obffTp+4g7h/kwpSS6psaO/kzuL+ig3+/Fv3SCo3v6XB8WqCY7fbUVhYiJycnO4XVKmQk5OD/Pz8Xh+Tn5/f43gAyM3N9Rx/5swZmM3mHseYTCZkZ2df9Dk7Ojpgs9l63LyhhDuI+7URUSGICdehizuL+zXPNimcJvZL3Fnc/+06XY81HxzA54fNssbh1QSnrq4ODocD8fHxPe6Pj4+H2dz7GzebzX0eL/3vQJ5z3bp1MJlMnltycvJlvZ9LkYbG07mDuF/qubM4Exx/1HMHcdbf+KN0Nt30e9uP1+KfBWXIK6mWNY6gWOazZs0aWK1Wz62srMwrr3NFSjR+8b2xuDkjySvPT97Hjsb+7Zi5Ce2d0g7i4XKHQ5eBO4v7v2KF9ILTePPJY2JioFarUV3dM4urrq5GQkJCr49JSEjo83jpf6urq5GYmNjjmIyMjF6fU6/XQ6/3fjfTKcNNmDKcV43+LJ3D437NM4o6gjuI+ytpZ/EjVTbsL7Mg0cTpfn/idIo4UC6NokbKGotXR3B0Oh2ysrKQl5fnuc/pdCIvLw+zZs3q9TGzZs3qcTwAbNmyxXP86NGjkZCQ0OMYm82G3bt3X/Q5ifpL2v29rKEN9dxZ3O/sZ4O/gJDOjTf91qnaZjR3dCFEq8b4eHlHUb0+RbV69Wq8/PLLeP3111FSUoJ77rkHLS0tWLp0KQBgyZIlWLNmjef4X/3qV9i8eTP+/Oc/4+jRo/jd736HvXv3YuXKlQBcdRKrVq3CH/7wB3z88cc4ePAglixZgqSkJCxcuNDbb4cCnClEizGxYQC4L5U/Or8OjvxXJjsa+y0pKZ06wgSNzM1uvTpFBQC33XYbamtrsXbtWpjNZmRkZGDz5s2eIuHS0lKoVN0fwuzZs/HWW2/ht7/9LX7zm99g3Lhx+PDDDzFlyhTPMQ888ABaWlqwYsUKWCwWzJ07F5s3b4bBYPD226EgkJ4ciVO1LSguteB7afGXfgApQlN7J07WujZp5AiOf5N6Uh2ssMLhFKHmdKPfUNI2KV5PcABg5cqVnhGY7/r6668vuO/WW2/FrbfeetHnEwQBjz76KB599NGhCpHIIzM5Eh8UVXB43M8cLLdCFIHhkSGIjeAO4v5sTGw4wvUaNHd04URNE9ISjHKHRP2kpD5UQbGKimggpMr//dxZ3K/sU9CVIw2OWiVgqnvBBqep/Eeb3YFj1U0AlPE9ZIJD9B1piRHQa1SwtXfhTD13FvcXShoap8Hj1in+51Cla0oxLkKPRJP8JSNMcIi+Q6tWeZb78+rRP5y/gzj3gQsM7Enlf86fnlJCs1smOES94MnVv1RZ21Hb1AG1SsAU7iAeEKSVVMerm9DCncX9gtJWMTLBIeoFExz/Iv07TYiPQIiOO4gHgjijAYkmA5wiPNtvkLJJ30OlbDbNBIeoF1KCw53F/QOnpwITLzT8R21TByosbRAEVw8cJWCCQ9QL7izuX/aVurbWUMqVIw0NKcHZzwRH8aQkdFxcOCIMWnmDcWOCQ9SL83cW38dCY0U7fwfxTI7gBBTuLO4/pP37lLSKkQkO0UVweNw/cAfxwDV1uAkqwVVEXm1rlzsc6oNSdhA/HxMcoouQvqhMcJSNO4gHrjC9BuPjIwBwJFXJnE4RB8pco6jpycqovwGY4BBd1LRkEwQBKG9sQx13FlcsNvgLbJls+Kd4p+ua0eTeQXyCOyFVAiY4RBdhNGgxJtY15cGGf8rlWZrK+puAlOkeSZUKyUl5pNG1qcPl30H8fMqJhEiBWIejbNa2Tpys4Q7igey7O4uT8ii1TQMTHKI+eJaplltkjYN6d8D975IcHYJh4dxBPBBJO4u32h047t7IkZRFqdPETHCI+nD+CA53Flee7r1vlLNyg4aWWiV4CldZaKw87Z0OHDW7Ek+lbNEgYYJD1Ie0hAgYtCo0tXfhdB13FlcapV450tDqvtBgHY7SSFOHcRF6JClgB/HzMcEh6oNGrcJUaWdx1uEoyvk7iLPAOLB1Fxpb5A2ELuDpIj5SGTuIn48JDtEl8OpRmcob21DfYodWLWBSolHucMiLpOLVk7XNsLV3yhsM9aDEBn8SJjhEl8CGf8q0z/3vMSnRCIOWO4gHsphwPUZEhUAU4WkoR8ogjaopcRSVCQ7RJUhXj0ermtBm587iSiENjbP+JjhkjpQuNDiSqhRmazuqrO1QCcA0hewgfj4mOESXkGQyIC5Cjy6niEPcWVwxlNp7g7yDPamUR0o2JyQYEarTyBzNhZjgEF2CIAie4Vd2U1UGe5cThyttALoLUCmwdX8HLRBFtmxQAiVPTwFMcIj6RRoe5yoOZSipssHe5URUqBajhoXKHQ75wKREI7RqAfUtdpQ3tskdDuG8BEeh08RMcIj6QfoCM8FRBs8O4snKW5pK3mHQqj2r5Yo4kiq7TocTByosALovAJWGCQ5RP0wdYYJaJcBsa0eVlVePcmODv+DUXWhskTcQwjFzE9o7nYgwaJAaEyZ3OL1igkPUD6E6DdISIgBwFEcJuIIqOLHQWDn2nXeRoVIpcxSVCQ5RP7HQWBkaWuw4W98KgAXGwUb6Dh6usKGjiy0b5NTdwVi530EmOET9xHbxyiCdWMfEhsEUqpU5GvKlkdGhiA7Twe5woqSKO4vLqVjhBcYAExyifpOuHg9WWGHvcsobTBCTEszpCr5yJO8QBAHpI6SdxTmSKhdLq92z+bCSp4mZ4BD10+iYMJhCtOjocuKo2SZ3OEGryA+Gxsl7WGgsP+mzHx0ThqgwnbzB9IEJDlE/9Wz4Z5E1lmDlcIrY7z65Th8VKWssJI8MtmyQnfTZK3n0BvBygtPQ0IDFixfDaDQiMjISy5YtQ3Nzc5/H/+IXv8CECRMQEhKCkSNH4pe//CWs1p7t8QVBuOD29ttve/OtEAE4vw6Hw+NyOF7dhBa7A+F6DcbFRcgdDskgY2QkBAEobWhFXXOH3OEEJWkFlVI7GEu8muAsXrwYhw8fxpYtW7Bp0yZs374dK1asuOjxlZWVqKysxNNPP41Dhw7htddew+bNm7Fs2bILjv3b3/6Gqqoqz23hwoVefCdELp4RHA6Py0K6ckxPdvUlouBjNGgxLi4cAFB0jhcavuY8bxRV6asYvbY7VklJCTZv3ow9e/ZgxowZAIDnnnsON9xwA55++mkkJSVd8JgpU6bg/fff9/w8ZswYPP7447j99tvR1dUFjaY73MjISCQkJHgrfKJeSVeP5+pbUd/cgWHherlDCiqe+huFn1jJu6aPjMLx6mYUlVowfzL/DvjSmfoWWNs6odeokJao7FFUr43g5OfnIzIy0pPcAEBOTg5UKhV2797d7+exWq0wGo09khsAuPfeexETE4OZM2diw4YNfW6+1tHRAZvN1uNGdDmMBi3GxrquHlnk6HvS1CDrb4KbtIKOWzb4njSKOnW4CVq1sst4vRad2WxGXFxcj/s0Gg2io6NhNpv79Rx1dXV47LHHLpjWevTRR/Huu+9iy5YtuOWWW/Dzn/8czz333EWfZ926dTCZTJ5bcnLywN8QkRsLjeVhabXjVK20NJUjOMFMSnAPlFvQ6WDLBl/ypy7iA05wHnrooV6LfM+/HT16dNCB2Ww23HjjjZg0aRJ+97vf9fjdww8/jDlz5iAzMxMPPvggHnjgAfzpT3+66HOtWbMGVqvVcysrKxt0fBS8PDuLl/Hq0ZfOX5oareClqeR9qTHhMBo0aO904igb/vlUkfvCLmuU8i8yBlyDc9999+HOO+/s85jU1FQkJCSgpqamx/1dXV1oaGi4ZO1MU1MTFixYgIiICGzcuBFabd/dSrOzs/HYY4+ho6MDev2FNRF6vb7X+4kuhzSCU1xqgcMpstjVR4r8oHMq+YZKJSBzZBS2Ha9FUWkjprqb/5F3NXd04Zi7B9j0QExwYmNjERsbe8njZs2aBYvFgsLCQmRlZQEAtm7dCqfTiezs7Is+zmazITc3F3q9Hh9//DEMBsMlX6u4uBhRUVFMYsgnxsVFIEynRovdgRM1TUhLMModUlDw7H3jBydW8r7p5yU4d8xOkTucoLC/zAKnCAyPDEG88dJ/m+XmtRqciRMnYsGCBVi+fDkKCgqwY8cOrFy5EosWLfKsoKqoqEBaWhoKCgoAuJKb+fPno6WlBa+++ipsNhvMZjPMZjMcDtfGap988gleeeUVHDp0CCdPnsQLL7yAJ554Ar/4xS+89VaIelCrBKSz2ZhPOZ2iZ4qKIzgEdNfhsNDYdwrdy/L9YXoK8OIycQB48803sXLlSsybNw8qlQq33HILnn32Wc/vOzs7cezYMbS2unYGLioq8qywGjt2bI/nOnPmDFJSUqDVarF+/Xr8+te/hiiKGDt2LJ555hksX77cm2+FqIfMkZHYeaoeReca8eOZI+UOJ+Cdqm1GU3sXQrRqpCUoe2kq+UZGsqtlQ1lDG2qa2hEXofwRBX8nJTjTFd7gT+LVBCc6OhpvvfXWRX+fkpLSY3n3tdde2+dybwBYsGABFixYMGQxEl0OLlP1LelznjbCBI3Cl6aSb0QYtBgfF4Fj1U0oOmfBginsh+NNTqfomSbOGhUtczT9wzMF0WWQVlKdqm1BY4td5mgCn2cHcT8ZGiffkKapuHWK952qbYatvQsGrfIb/EmY4BBdhugwHVJjwwBwubgvdHcwjpQ3EFKUTI6k+oz0GaePiFR8gz+Jf0RJpEAz3KMJe8/y5OpNtvZOnKhxbdIr/UEjArqnig+UW2HvYsM/b/K3AmOACQ7RZZO+6IXc8M+r9pdZIIpAcnQIYiPYCoK6pcaEwRSiRUeXEyVV3ILHm7oLjJngEAU8KcHZz3bxXiWNkPnTiZV8w9XwLxIAp6m86fxtUvypDo4JDtFlSo0JhylEi/ZOXj16k3TlOMOPTqzkO90rGi3yBhLApCJ/f9smhQkO0WVSqQTPKA7rcLzD4YdLU8m3PAkOp4q9Rhod87dRVCY4RIPgqcPh8LhXHDXb0GJ3IEKvwQQ2+KNepCebIAhAhaUNNbZ2ucMJSP5YYAwwwSEaFF49epd0Ys0YGclNTalXEQYtJsS7kl/W4Qy9LofTs02K1HfIXzDBIRqE9GQT1CoBVdZ2VFra5A4n4EhTfzM4PUV94FSx9xyrbkKrexR1XJx/jaIywSEahFCdBpOTXLuJ7+UozpDzFBin+NfQOPmW9N8Hv4NDr8iPR1GZ4BANEqepvKPK2oYKSxvUKgEZ7GBMfZBG+A5VWNFmd8gcTWCRVqf5W4ExwASHaNDY8M87pOmGiYkRCNN7dV9g8nMjokKQYDSgyyl66kVoaPhrgTHABIdo0KQv/pEqG1rtXTJHEzi6+9+w/ob6JggCsqRpqrMNMkcTOGqbOlDa0ApBcE1R+RsmOESDlBQZgiSTAQ5ePQ6pvedcf6j88cqRfO+KUazDGWpSsjg+LgJGg1bmaAaOCQ7REJDal7MOZ2i0dHShpKoJAAuMqX9mpLhG+orONcLhFGWOJjDscU8TXzHaP7+DTHCIhgDrcIZWcZkFDqeI4ZEhSDSFyB0O+YG0hAiE6dRo6ujCMXOT3OEEhD3uEZwrUvxzmpgJDtEQkBKcolILnLx6HDSpwJjTU9RfGrXKM5JaeI51OIPV3NGFw5VWAMDM0UxwiILWxEQjQrRqWNs6caq2We5w/J5Uf8PpKRoIqSB9Dxv+Ddq+0kY4Rfj1KCoTHKIhoFWrPL1aCriKY1BcG2xaAHAEhwZmBldSDZk9Z1yfob+O3gBMcIiGjHQikE4MdHmOmZvQ3NGFcL0GaQlGucMhP5KR7Oq2W2ltRwW3ThkUaRTMn0dRmeAQDREpwSlggjMoUv1Eph+2hid5henP2zqFoziXzd7lxL4yV4Iz008LjAEmOERDJnNkJDTuq8fyxla5w/Fbe/24cyrJjxtvDt7hSivaO52ICtVibFy43OFcNiY4REMkVKfBlOEmABzFGQyuoKLBkJY0s+Hf5ZOWh2eNioYg+O8oKhMcoiGULdXhcHj8spQ3tno22PTHzf1IfjPcifFRsw229k6Zo/FPBWfc01N+2uBPwgSHaAhJV4+7OYJzWaSRrynDTdxgky5LnNGAkdGhEEV2Fr8cTqfoqYOb4cf1NwATHKIhdUVKNAQBOF3bgtqmDrnD8TtSgnOlHy9NJfl1LxdngjNQp2qb0djaCYNWhSlJJrnDGRQmOERDyBSqxYT4CABcxXE5dgdA7w2SX3cdDr+DAyUtD89MjoJO498pgn9HT6RA0h9nTlMNTI2tHWfqWiAI/j80TvK6wj2Cs6/Ugo4uh8zR+Jfu/af8u/4GYIJDNOSkq0cWGg+MlBBOSjTCFKKVORryZ2NiwzEsTIeOLicOlFvlDseveBKcABhFZYJDNMSkEZwjVVzFMRC7z9QD4PQUDZ4gCMhOdf13tOtUvczR+I8qaxvKG9ugEoDMAFjF6NUEp6GhAYsXL4bRaERkZCSWLVuG5ua+NyK89tprIQhCj9vPfvazHseUlpbixhtvRGhoKOLi4nD//fejq6vLm2+FqN/ijQaMGuZaxVHIVRz9JhUYZ48eJnMkFAiuTHX9d8Sp4v6TvoOTk0wID4BVjF59B4sXL0ZVVRW2bNmCzs5OLF26FCtWrMBbb73V5+OWL1+ORx991PNzaGio5/87HA7ceOONSEhIwM6dO1FVVYUlS5ZAq9XiiSee8Np7IRqImSnROFffioIzDbhuQpzc4SheQ4sdx6tdFz8cwaGhICU4e881wN7l9PuCWV+QVp1dESA1cF77Fy8pKcHmzZvxyiuvIDs7G3PnzsVzzz2Ht99+G5WVlX0+NjQ0FAkJCZ6b0di94d4XX3yBI0eO4B//+AcyMjJw/fXX47HHHsP69etht9u99XaIBuQKbrw5INKV4/j4cESH6WSOhgLBuDjXf0vtnU4cKLfIHY5f2HXaNZ0XCAXGgBcTnPz8fERGRmLGjBme+3JycqBSqbB79+4+H/vmm28iJiYGU6ZMwZo1a9Da2r2vT35+PqZOnYr4+HjPfbm5ubDZbDh8+HCvz9fR0QGbzdbjRuRNUkfj/eUWtHdyFcelSPU3nJ6ioSIIgud7KP3hpourberAiRrXKGp2amB8D72W4JjNZsTF9Rya12g0iI6Ohtlsvujj/vM//xP/+Mc/8NVXX2HNmjX4+9//jttvv73H856f3ADw/Hyx5123bh1MJpPnlpycfLlvi6hfRkaHIi5Cj06HiOIyi9zhKF4B+9+QF0jTVLtOcyT1UqQkMC0hImBGUQec4Dz00EMXFAF/93b06NHLDmjFihXIzc3F1KlTsXjxYrzxxhvYuHEjTp06ddnPuWbNGlitVs+trKzssp+LqD8EQfD8sebGm32ztnXiSJVrVFVa+UI0FKQEp/BcI+xdTpmjUbZ8d4Iza0xgjN4Al1FkfN999+HOO+/s85jU1FQkJCSgpqamx/1dXV1oaGhAQkJCv18vOzsbAHDy5EmMGTMGCQkJKCgo6HFMdXU1AFz0efV6PfR6fb9fk2gozBwdjU0HqtzTL+PkDkex9p5tgCgCqTFhiIswyB0OBZBxceGICtWisbUTByssyBrFBPpipOX0swJkegq4jAQnNjYWsbGxlzxu1qxZsFgsKCwsRFZWFgBg69atcDqdnqSlP4qLiwEAiYmJnud9/PHHUVNT45kC27JlC4xGIyZNmjTAd0PkPedfPXZ0OaDXqGWOSJk4PUXeolIJyB49DJsPm7HrdAMTnIuotrXjtLuLeCDVwXmtBmfixIlYsGABli9fjoKCAuzYsQMrV67EokWLkJSUBACoqKhAWlqaZ0Tm1KlTeOyxx1BYWIizZ8/i448/xpIlS3D11Vdj2rRpAID58+dj0qRJ+MlPfoL9+/fj888/x29/+1vce++9HKUhRRkXF46YcD3aO53YV2qROxzF2iX1v+H0FHnBlaksNL6UfPfozeQkI0yhgdNF3KuNAd58802kpaVh3rx5uOGGGzB37ly89NJLnt93dnbi2LFjnlVSOp0OX375JebPn4+0tDTcd999uOWWW/DJJ594HqNWq7Fp0yao1WrMmjULt99+O5YsWdKjbw6REgiCgNnu+eydJ+tkjkaZWjq6cKjC1Up/ZgBdOZJyXOn+Du4924hOB+twepMfgNNTgJcb/UVHR/fZ1C8lJQWiKHp+Tk5OxrZt2y75vKNGjcJnn302JDESedPsMcPw8f5K7DxVj9VyB6NAheca4XCKGBEVguGRIXKHQwFofFwEIkO1sLR24kC5FVmjAqPHy1DadSbwCowB7kVF5FVzxsYAAIrLLGjp4HYi3yWt3AikeX9SFlcdDqepLqbS0oZz9a1Qq4SA6WAsYYJD5EXJ0aEYERWCLqeIAu4ufgFp6m7OWCY45D3d/XCY4HyXND01dbgJEYbAqb8BmOAQed2cMa5RnHzuatyDtbUTB9z1N9JIF5E3nL+ikXU4PQVi/xsJExwiL5vtHp3YwULjHvJP10EUXavN4o3sf0PeMyHeVYfTanfgoDupJpdALTAGmOAQeZ104jhSZUNjCzeElXzrmZ7i6A15l0olYKa7voQjqd3KGlpRYWmDVi1gRoBssHk+JjhEXhZnNGBcXDhEsXtTSQJ2nHR9FnOZ4JAPSIn0tyc4kiqRkr30EZEI1Xl1UbUsmOAQ+YDUD0f6ox7syhtbcaauBWqVwAZ/5BNzx7kSnMJzjWi1c0UjENj1NwATHCKfmO2+etx5ilePALDTnehlJEcG3MoNUqbUmDAMjwyB3eHEbm6AC1EUA7r+BmCCQ+QTV44eBpUAnKptgdnaLnc4smP9DfmaIAi4yj2K881xXmicrW+F2dYOnVqF6QHa/JAJDpEPmEK1mDLcBMC1eiiYOZ2iZ0XZnAAdGidlkqapvj1ZK3Mk8vv2hOszmD4qEgZtYG4EzASHyEdmefalCu46nGPVTahvsSNEq0bmyMC8ciRlmjMmBoIAHK9uDvqR1G3HXQnO1eNjZY7Ee5jgEPmI1PBv56n6HnuwBRtp9CY7NRo6DU9B5DtRYTpMdY+kfhvEfansXU7sdNffXMMEh4gGa0ZKFLRqARWWNpQ2tModjmykPyxcHk5y8NThnAjeaaq95xrQancgJlyPiQlGucPxGiY4RD4SqtN4pmS2B2kvDnuXE7tPu1awsMCY5HDVONeIxbcn6uB0BudI6nZ3kfXV42KgUgkyR+M9THCIfEgaDt52rEbmSOSxr7QRbZ0OxITrMCE+Qu5wKAhNHxmFUJ0a9S12lJhtcocjC6n+5poJgTs9BTDBIfKpa90nlB0n69HR5ZA5Gt+T6m9mjwnsK0dSLp1G5dl885sgHEmtaWpHSZUNghD408RMcIh8aFKiEXERerR1OlAQhM3GWH9DSiDV4QTjtg1SD6Cpw00YFq6XORrvYoJD5EOCIHhGcb4+FlxFjtbWTuwvd+3kLO2wTiQHKcEpONuANntwjaR6loePC+zpKYAJDpHPXTchDgDwVZDV4Ww7UQuHU8S4uHCMiAqVOxwKYmNiw5FoMsDe5UTB2eAZSXU4Rc/qsUDufyNhgkPkY3PGxUCjEnC6tgWl9cGzXHxrSTUA4HsT42SOhIKdIAieadJvg2i5+KEKKxpbOxGh1yBzZKTc4XgdExwiHzMatJ69X74+HhyjOA6niK/dQ+Pfm8AEh+R3lXsEI5gKjbe7v4Ozxw6DVh34f/4D/x0SKZA0TRUsdTj7Shthae2E0aBBVoBu7Ef+Ze5Y17YNR81NQbNtg2d5+PjguMhggkMkA6nQeOepOrR3Bn6R49ajrpGqayfEQRMEV46kfNFhOmQkRwIA8o5WyxuMD9jaO7GvzAIAuHp8cKxi5JmGSAZpCRFIMBrQ3unE7iBYLi4lON9LC44rR/IPORPjAQBfHgn8BGfnyTo4nCJSY8OCpsifCQ6RDHouFw/sOpwKSxuOmpugEgJ7Yz/yP9+f5EpwdpyqR0tHl8zReFf39FTwfAeZ4BDJJFj64UijN1mjohAVppM5GqJu4+LCMTI6FPYuZ0AXGzudIr46GjzLwyVMcIhkMmesa7n4mboWnKtvkTscr5GWh1/H6SlSGEEQuqepSgJ3mupghRVmWzvCdGrMSg2eJptMcIhkEmHQYkaKe7l4gI7itNkd2HmqHgAwLy1e5miILpQzyZV4bz1aA0eA7i7++WEzAFeRv0Grljka32GCQySjQO9qvPNUHTq6nBgeGYLx8eFyh0N0gStSomE0aNDQYse+0ka5w/EKKcGZPzm4LjKY4BDJSJq22XmqHk3tnTJHM/TOXz0lCNw9nJRHq1Z5vodbAnCa6mRNM07VtkCrFoJumpgJDpGMxsWFIzUmDPYupycZCBSiKHYnONyegRQskJeLf3HENXoza0wMjAatzNH4llcTnIaGBixevBhGoxGRkZFYtmwZmpubL3r82bNnIQhCr7f33nvPc1xvv3/77be9+VaIvEIQBFw/NQEAsPmQWeZohtZRcxOqrO0waFVBVdhI/ueaCbHQqAScqm3B6dqL/43yR58fdiVtuUE2PQV4OcFZvHgxDh8+jC1btmDTpk3Yvn07VqxYcdHjk5OTUVVV1eP2+9//HuHh4bj++ut7HPu3v/2tx3ELFy705lsh8prrpyQCcNXhtNoDpxdHnnu4f+7YmKAqbCT/YzRocaU7Cc8rCZyRVLO1HfvLLBCE7p4/wcRrCU5JSQk2b96MV155BdnZ2Zg7dy6ee+45vP3226isrOz1MWq1GgkJCT1uGzduxI9+9COEh/csUIyMjOxxnMFg8NZbIfKqyUlGJEeHoL3TiW0BtJrq04OuESlp+J9IyXImBl4dzhb39FRmciTiIoLvb6TXEpz8/HxERkZixowZnvtycnKgUqmwe/fufj1HYWEhiouLsWzZsgt+d++99yImJgYzZ87Ehg0bIIoXX97X0dEBm83W40akFIIg4Ab3KM5nATJNdaq2GSVVNmhUAhZMSZA7HKJLmudOxPeebUBji13maIZG9/RUcH4HvZbgmM1mxMX1LCzUaDSIjo6G2dy/k/irr76KiRMnYvbs2T3uf/TRR/Huu+9iy5YtuOWWW/Dzn/8czz333EWfZ926dTCZTJ5bcnLywN8QkRdJScDWkuqA2Hzz0wNVAIC542IQGcruxaR8ydGhSEuIgFMMjLYN1tZO7Drt6kE1nwlO/zz00EMXLQSWbkePHh10YG1tbXjrrbd6Hb15+OGHMWfOHGRmZuLBBx/EAw88gD/96U8Xfa41a9bAarV6bmVlZYOOj2goZSRHIslkQIvdERAt4zcdcE1D/9u0JJkjIeo/qU7ls4P+P5K69Vg1upwixseHY3RMmNzhyGLACc59992HkpKSPm+pqalISEhATU3PLLirqwsNDQ1ISLh0Nvl///d/aG1txZIlSy55bHZ2NsrLy9HR0dHr7/V6PYxGY48bkZIIgoBc9yjOvw5VyRzN4ByvbsLx6mbo1KqgLGwk/yUl5NuO18Da6t99qb4I8ukpANAM9AGxsbGIjb30Zl2zZs2CxWJBYWEhsrKyAABbt26F0+lEdnb2JR//6quv4qabburXaxUXFyMqKgp6vf7Sb4BIoW6Ymoi/7TiLLUeqYe9yQqfxzzZVm/a7Rm+uHh8DU0hw9d0g/zYhIQJpCRE4am7Cvw5VYdHMkXKHdFnaOx2e7V/mTwreBMdrZ9CJEydiwYIFWL58OQoKCrBjxw6sXLkSixYtQlKSK0uuqKhAWloaCgoKejz25MmT2L59O+6+++4LnveTTz7BK6+8gkOHDuHkyZN44YUX8MQTT+AXv/iFt94KkU9kjYxCbIQeTe1d2HnKP6epRFHEJnf9DaenyB/dnDEcAPBhcYXMkVy+7cdr0dbpwPDIEEwZHrwzFl69RHzzzTeRlpaGefPm4YYbbsDcuXPx0ksveX7f2dmJY8eOobW1tcfjNmzYgBEjRmD+/PkXPKdWq8X69esxa9YsZGRk4K9//SueeeYZPPLII958K0Rep1IJWOAeTv6Xn9YAlFQ14XRdC3QaFXI4PUV+6AfprhWNu880oMraJnM0l0dKzhZMSQjqLVIEsa/11QHKZrPBZDLBarWyHocUZeepOvzny7sRFarFnv/OgUbtX9NUT20+iv/9+hRyJ8fjrz+ZcekHECnQrS/uxJ6zjfjvGyZi+dWpcoczIJZWO2Y+nge7w4nPfnkVJiUF1t+4gfz99q+zJ1GAm5kSjegwHRpbO7HrdIPc4QwIp6coUPjzNNWmA1WwO5xIS4gIuORmoJjgECmIRq3yrHr4YF+5zNEMzMEKK0obWhGiVWMeN9ckP3bD1ERoVAIOV9pwsqZJ7nAG5IMi13njh1kjZI5EfkxwiBTm1hmuE9NnB6tga/efpapSc7/vTYxDqG7ACzSJFCM6TIerx7tW8H5c3PvWQkp0urYZRaUWqATgpgyOojLBIVKYzORIjIsLR3unE5v2+0dPnB7TU1MTZY6GaPBudicIHxZX9rkVkJJs3OeaUrt6fGxQ7j31XUxwiBRGEAT8aIZrO5F39vpH1+380/WosLQhTKfGdWmcniL/9/1J8QjRqlHa0IriMovc4VyS0ynigyJXgnPLdE5PAUxwiBTp36cPh0YlYH+ZBcfMyq8BeGt3KQBgYeZwGLRqmaMhGrxQnQbzJ7taHXzkB9NUu880oMLShgi9hh3E3ZjgEClQTLgeOe7djd/Zo+xRnNqmDnx+2NW35z+z/bPzK1FvFrpXU206UIkuh1PmaPomFRffOC2RFxluTHCIFOpHV7iGmTfuK0dHl3J3GH+vsAydDhEZyZGYnGSSOxyiITN3XAyiw3Soa7Yj76hydxhvszvw2UFXDdwtXD3lwQSHSKGuHheLeKMeja2dyCtR5snV6RQ901OLOXpDAUarVuG2K1z1cK/vPCtvMH34/LAZLXYHkqNDMGNUlNzhKAYTHCKF0qhVnl4WSp2m2n6iFuWNbTAaNGzuRwHp9itHQSUAO0/VK7Ye7n339NR/ZI4I6q0ZvosJDpGC3ZrlunrcfqIWlRbl7Ysjjd7ckjUCITrO+1PgGR4Z4tmR+/X8s/IG04tTtc345kQdBIGrp76LCQ6RgqXEhCF7dDREEfi/QmV1Nq6ytnnqEjg9RYHszjkpAICNRRWwtiqr+eYr35wBAMxLi8fIYaEyR6MsTHCIFE6qAXh3b5miVnK8s6cMDqeImaOjMTYuQu5wiLwme3Q00hIi0NbpwLsK6k1V19zhmZ5a4WebgvoCExwihbt+SiKiQrUob2zDpweV0dm4y+HE2wWuEz1HbyjQCYKAO2enAADe2HUWDqcyOhu/kX8O9i4n0pMjcUUKi4u/iwkOkcKF6NRYOmc0AOB/vzoFpwJOrluP1sBsa0d0mA4LpiTIHQ6R192cMRymEC3KGtrwlQKWjLfZHfjHrnMAgBVXpbK4uBdMcIj8wB2zUxCh1+BYdRO+LKmWNRZRFPHKt655/1uzRkCvYXExBb4QnRqL3NPFrylgyfj7ReVoaLEjOToEuZPZubg3THCI/IApRIufzBoFAHj+q5Oybv6342Q9Cs40QKdW4Q73sD1RMJCWjH97sg4nquVbMu5winjVfZGxbM5oaNT8U94bfipEfmLZ3NEwaFU4UG7FNyfqZIlBFEU8/cUxAK5tGZIiQ2SJg0gOydGhni1UNuw4K1scX5ZU40xdC4wGDW51b8xLF2KCQ+QnhoXr8eOZroLe5786KUsMXx2rQXGZBQatCj+/bowsMRDJ6e6rXKuV3ttbhlO1zbLE8Mo3pwG4RpTC9BpZYvAHTHCI/MiKq1OhVQsoONOAPWcbfPraoijiz18cB+CqCYqLMPj09YmUYOboaMxLi0OXU8ST/zrq89cvKm3EnrON0Kq7V3ZR75jgEPmRRFMIfujubvz8Vt+O4nx+2IzDlTaE6dT46dUcvaHgteaGNKhVAr44Uo2CM7670BBFEU98WgLAtdN5nJEXGX1hgkPkZ+65ZgzUKgHbjtfiQLnFJ6/pcIp4Zotr9GbZ3NGIDtP55HWJlGhsXISnAefjnx7xWeuGD4oqsPdcI0J1aqyeP94nr+nPmOAQ+ZmRw0JxU7prY8vff3LEJ03HNh2oxPHqZhgNGiy7ih1TiVbljEOYTo395VZs8kEDTlt7J9a5p8R+8b1xSDSxwP9SmOAQ+aH/yp2AMJ0aheca8YaXNwDscjjxly9PAAB+es0YmEK0Xn09In8QF2HAT69xTdU+tfkoOrocXn29/9lyHHXNHUiNDcOyuaO9+lqBggkOkR8aHhmCh26YCAB4avMxlDW0eu21nt16EmfqWhAdpmNRI9F57r5qNOKNepQ3tuGNnee89jolVTa87m4u+PubJkOn4Z/u/uCnROSnFs8ciezR0WjrdOChDw54pflfwZkGPL/VNXrzu5smc0kq0XlCdRrcN38CAOC5rSdQ19wx5K8hiiLWfnQIThG4YWoCrhoXO+SvEaiY4BD5KZVKwJO3TINBq8KOk/V4Z8/Q7nJsbe3Eqrf3wSkCP8wa4an7IaJut0wfgYmJRtjau7DyrSJ0OpxD+vwb91Vgz9lGhGjV+O2Nk4b0uQMdExwiP5YSE4b7vu+6gnz80xKYre1D8ryiKGLNxgOotLYjZVgofnfT5CF5XqJAo1YJeHZRBsJ0auw63YAnPisZsucua2jF4+5l4Su/N5adwweICQ6Rn7tr7mikJ0eiqaMLv9l4cEiWrL63txyfHTRDoxLw/xZlIpxTU0QXNS4+An/+UQYA4G87zuL9wvJBP2d9cweWbChAfYsdaQkRuPsqFhYPFBMcIj+nVgn40w+nQasWsPVoDf7r//ajaxDD5Kdqm/HIx4cBuFZrpSdHDlGkRIFrwZQE/PJ7YwEAazYeHFSPqpaOLtz12h6cqWvB8MgQvLZ0JvQa9RBFGjyY4BAFgPHuK0i1SsAHRRX41dvFsHcNPMk5XGnFklcL0NbpwOwxw7CCPW+I+m1VznjMS4uDvcuJn/69ELVNAy86tnc58bN/FGJ/uRVRoVq8sWwmEkzsWHw5vJbgPP7445g9ezZCQ0MRGRnZr8eIooi1a9ciMTERISEhyMnJwYkTJ3oc09DQgMWLF8NoNCIyMhLLli1Dc7M8G54RKclN6Un438XToVOr8OnBKvzsH4Vo7+x/b45PD1Thhy/ko8LShpRhofif2zKgUglejJgosKhUAv5nUQZSY8JQZW3H4ld24VCFtd+PdzpFPPB/+/HNiTqEaNX429KZGBMb7sWIA5vXEhy73Y5bb70V99xzT78f89RTT+HZZ5/Fiy++iN27dyMsLAy5ublob+8unFy8eDEOHz6MLVu2YNOmTdi+fTtWrFjhjbdA5HdyJyfg5TtmQK9RYevRGix7fQ+a2jv7fIzTKeLpz4/h3reK0NbpwNXjY/HRvXMRz31uiAbMaNDipSVZiAnX4Xh1M25evwPPfHHskiOqRaWNWPzKbnxYXAmNSsALt09HBqeHB0UQvdE84zyvvfYaVq1aBYvF0udxoigiKSkJ9913H/7rv/4LAGC1WhEfH4/XXnsNixYtQklJCSZNmoQ9e/ZgxowZAIDNmzfjhhtuQHl5OZKS+reM1WazwWQywWq1wmg0Dur9ESlR/ql6LHt9D1rtDoTq1Lh+SiJuyRqOK0cP84zKVFraUFTaiPf2lmPb8VoAwE+vTsUDC1wbCRLR5atv7sDajw7jU/c2DmkJEXjylmmYOtzUY2T0cKUVf/7iOLYerQEAaNUCnr41HTdnDJclbqUbyN9vxSyNOHPmDMxmM3Jycjz3mUwmZGdnIz8/H4sWLUJ+fj4iIyM9yQ0A5OTkQKVSYffu3fj3f//3Xp+7o6MDHR3dc6E2m817b4RIAWaNGYZ/3J2N+97djzN1LXi/qBzvF5VjeGQIJicZcaDcCrOte2RUp1HhyVum4t8zR8gYNVHgGBaux/rF03HDgSqs/egQjpqbcPP6HVCrBJhCtIgM1SJUp8ahCtffI7VKwC3Th+OX88ZhRFSozNEHBsUkOGazGQAQHx/f4/74+HjP78xmM+Li4nr8XqPRIDo62nNMb9atW4ff//73QxwxkbJNHxmFrfddg8JzjXi/qByb9lehwtKGCksbANcJdWJiBKaPjMKiK0ZiUhJHM4mG2o3TEnFlajR+98kRbDpQCYdTREOLHQ0tdgCAIAA/mJaEVTnjkMp6myE1oATnoYcewpNPPtnnMSUlJUhLSxtUUENtzZo1WL16tednm82G5ORkGSMi8g1BEDAjJRozUqLxyA8m48uSalRZ2jFluAnpySaE6hRzjUMUsIaF6/HcjzPx9K3TYGntRGOrHY0tnbC22TE2LgJj45jYeMOAzm733Xcf7rzzzj6PSU29vGWlCQkJAIDq6mokJiZ67q+urkZGRobnmJqamh6P6+rqQkNDg+fxvdHr9dDr9ZcVF1GgMGjV+Ldp3G6BSC56jRrxRjUL+H1kQAlObGwsYmO9s9HX6NGjkZCQgLy8PE9CY7PZsHv3bs9KrFmzZsFisaCwsBBZWVkAgK1bt8LpdCI7O9srcREREZH/8doy8dLSUhQXF6O0tBQOhwPFxcUoLi7u0bMmLS0NGzduBOAaSl+1ahX+8Ic/4OOPP8bBgwexZMkSJCUlYeHChQCAiRMnYsGCBVi+fDkKCgqwY8cOrFy5EosWLer3CioiIiIKfF6bgF+7di1ef/11z8+ZmZkAgK+++grXXnstAODYsWOwWrubID3wwANoaWnBihUrYLFYMHfuXGzevBkGQ/dw3ptvvomVK1di3rx5UKlUuOWWW/Dss896620QERGRH/J6HxwlYh8cIiIi/zOQv9/ci4qIiIgCDhMcIiIiCjhMcIiIiCjgMMEhIiKigMMEh4iIiAIOExwiIiIKOExwiIiIKOAwwSEiIqKAwwSHiIiIAo7XtmpQMql5s81mkzkSIiIi6i/p73Z/NmEIygSnqakJAJCcnCxzJERERDRQTU1NMJlMfR4TlHtROZ1OVFZWIiIiAoIgDOlz22w2JCcno6ysjPtcfQc/m77x8+kbP5++8fO5OH42ffOnz0cURTQ1NSEpKQkqVd9VNkE5gqNSqTBixAivvobRaFT8fyhy4WfTN34+fePn0zd+PhfHz6Zv/vL5XGrkRsIiYyIiIgo4THCIiIgo4DDBGWJ6vR6PPPII9Hq93KEoDj+bvvHz6Rs/n77x87k4fjZ9C9TPJyiLjImIiCiwcQSHiIiIAg4THCIiIgo4THCIiIgo4DDBISIiooDDBGcIrV+/HikpKTAYDMjOzkZBQYHcISnCunXrcMUVVyAiIgJxcXFYuHAhjh07JndYivTHP/4RgiBg1apVcoeiGBUVFbj99tsxbNgwhISEYOrUqdi7d6/cYSmCw+HAww8/jNGjRyMkJARjxozBY4891q99egLR9u3b8YMf/ABJSUkQBAEffvhhj9+Looi1a9ciMTERISEhyMnJwYkTJ+QJVgZ9fT6dnZ148MEHMXXqVISFhSEpKQlLlixBZWWlfAEPEhOcIfLOO+9g9erVeOSRR1BUVIT09HTk5uaipqZG7tBkt23bNtx7773YtWsXtmzZgs7OTsyfPx8tLS1yh6Yoe/bswV//+ldMmzZN7lAUo7GxEXPmzIFWq8W//vUvHDlyBH/+858RFRUld2iK8OSTT+KFF17A888/j5KSEjz55JN46qmn8Nxzz8kdmixaWlqQnp6O9evX9/r7p556Cs8++yxefPFF7N69G2FhYcjNzUV7e7uPI5VHX59Pa2srioqK8PDDD6OoqAgffPABjh07hptuukmGSIeISENi5syZ4r333uv52eFwiElJSeK6detkjEqZampqRADitm3b5A5FMZqamsRx48aJW7ZsEa+55hrxV7/6ldwhKcKDDz4ozp07V+4wFOvGG28U77rrrh73/cd//Ie4ePFimSJSDgDixo0bPT87nU4xISFB/NOf/uS5z2KxiHq9XvznP/8pQ4Ty+u7n05uCggIRgHju3DnfBDXEOIIzBOx2OwoLC5GTk+O5T6VSIScnB/n5+TJGpkxWqxUAEB0dLXMkynHvvffixhtv7PHfEAEff/wxZsyYgVtvvRVxcXHIzMzEyy+/LHdYijF79mzk5eXh+PHjAID9+/fj22+/xfXXXy9zZMpz5swZmM3mHt8xk8mE7Oxsnqcvwmq1QhAEREZGyh3KZQnKzTaHWl1dHRwOB+Lj43vcHx8fj6NHj8oUlTI5nU6sWrUKc+bMwZQpU+QORxHefvttFBUVYc+ePXKHojinT5/GCy+8gNWrV+M3v/kN9uzZg1/+8pfQ6XS444475A5Pdg899BBsNhvS0tKgVqvhcDjw+OOPY/HixXKHpjhmsxkAej1PS7+jbu3t7XjwwQfx4x//2C824OwNExzyqXvvvReHDh3Ct99+K3coilBWVoZf/epX2LJlCwwGg9zhKI7T6cSMGTPwxBNPAAAyMzNx6NAhvPjii0xwALz77rt488038dZbb2Hy5MkoLi7GqlWrkJSUxM+HLltnZyd+9KMfQRRFvPDCC3KHc9k4RTUEYmJioFarUV1d3eP+6upqJCQkyBSV8qxcuRKbNm3CV199hREjRsgdjiIUFhaipqYG06dPh0ajgUajwbZt2/Dss89Co9HA4XDIHaKsEhMTMWnSpB73TZw4EaWlpTJFpCz3338/HnroISxatAhTp07FT37yE/z617/GunXr5A5NcaRzMc/TfZOSm3PnzmHLli1+O3oDMMEZEjqdDllZWcjLy/Pc53Q6kZeXh1mzZskYmTKIooiVK1di48aN2Lp1K0aPHi13SIoxb948HDx4EMXFxZ7bjBkzsHjxYhQXF0OtVssdoqzmzJlzQUuB48ePY9SoUTJFpCytra1QqXqextVqNZxOp0wRKdfo0aORkJDQ4zxts9mwe/dunqfdpOTmxIkT+PLLLzFs2DC5QxoUTlENkdWrV+OOO+7AjBkzMHPmTPzlL39BS0sLli5dKndosrv33nvx1ltv4aOPPkJERIRnvttkMiEkJETm6OQVERFxQS1SWFgYhg0bxholAL/+9a8xe/ZsPPHEE/jRj36EgoICvPTSS3jppZfkDk0RfvCDH+Dxxx/HyJEjMXnyZOzbtw/PPPMM7rrrLrlDk0VzczNOnjzp+fnMmTMoLi5GdHQ0Ro4ciVWrVuEPf/gDxo0bh9GjR+Phhx9GUlISFi5cKF/QPtTX55OYmIgf/vCHKCoqwqZNm+BwODzn6ujoaOh0OrnCvnxyL+MKJM8995w4cuRIUafTiTNnzhR37dold0iKAKDX29/+9je5Q1MkLhPv6ZNPPhGnTJki6vV6MS0tTXzppZfkDkkxbDab+Ktf/UocOXKkaDAYxNTUVPG///u/xY6ODrlDk8VXX33V67nmjjvuEEXRtVT84YcfFuPj40W9Xi/OmzdPPHbsmLxB+1Bfn8+ZM2cueq7+6quv5A79sgiiGKQtL4mIiChgsQaHiIiIAg4THCIiIgo4THCIiIgo4DDBISIiooDDBIeIiIgCDhMcIiIiCjhMcIiIiCjgMMEhIiKigMMEh4iIiAIOExwiIiIKOExwiIiIKOAwwSEiIqKA8/8BWporGZUksgEAAAAASUVORK5CYII=\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"More about axis property is [here](
https://predictablynoisy.com/matplotlib/api/_as_gen/matplotlib.pyplot.axis.html)"
],
"metadata": {
"id": "k0FbtFjJ6t4-"
}
},
{
"cell_type": "code",
"source": [
"plt.plot(x, np.sin(x))\n",
"plt.tight_layout()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 487
},
"id": "RUqg2aTE6syx",
"outputId": "875dcb1c-27ef-48a4-f279-4a66e4b99f56"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"#### Labels"
],
"metadata": {
"id": "bYcl8IWp7rPD"
}
},
{
"cell_type": "markdown",
"source": [
"##### **MatLab** style:"
],
"metadata": {
"id": "fNP6W7Jp9i-V"
}
},
{
"cell_type": "code",
"source": [
"plt.plot(x, np.sin(x))\n",
"plt.title(\"Sinusoid\")\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"sin(x)\");"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 472
},
"id": "tHrKypol7Nqe",
"outputId": "920df06a-fc8f-4523-a98c-f634406710aa"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"plt.plot(x, np.sin(x), '-g', label='sin(x)')\n",
"plt.plot(x, np.cos(x), ':b', label='cos(x)')\n",
"plt.axis('scaled')\n",
"\n",
"plt.legend();"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 141
},
"id": "riwmrHwd8GLK",
"outputId": "6e23f28e-43b8-4910-a364-b09e02b7057c"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"The position, size, and style of labels can be customized using additional function arguments."
],
"metadata": {
"id": "Du9242Um8QeG"
}
},
{
"cell_type": "markdown",
"source": [
"##### Alternatively using OO interface:"
],
"metadata": {
"id": "xcIjr4oB_rnn"
}
},
{
"cell_type": "code",
"source": [
"ax = plt.axes()\n",
"ax.plot(x, np.sin(x))\n",
"ax.set(xlim=(0, 10), ylim=(-2, 2),\n",
" xlabel='x', ylabel='sin(x)',\n",
" title='A Sinusoid Plot');"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 472
},
"id": "vrAt9e9r_yb1",
"outputId": "b714068d-2c01-4b6d-dce9-4f107b1690e2"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"**Matlab VS OO interfaces:**\n",
"\n",
"* plt.xlabel() → ax.set_xlabel()\n",
"* plt.ylabel() → ax.set_ylabel()\n",
"* plt.xlim() → ax.set_xlim()\n",
"* plt.ylim() → ax.set_ylim()\n",
"* plt.title() → ax.set_title()\n",
"\n",
"\n"
],
"metadata": {
"id": "_PQ5EyI2AJ-b"
}
},
{
"cell_type": "markdown",
"source": [
"### Multiple plots on the one figure\n"
],
"metadata": {
"id": "fCwBwZ-QArlU"
}
},
{
"cell_type": "markdown",
"source": [
"#### MatLab Style"
],
"metadata": {
"id": "NjUVpKqnD8t9"
}
},
{
"cell_type": "code",
"source": [
"plt.figure() # create a figure\n",
"\n",
"# The first plot\n",
"plt.subplot(2, 1, 1) # (nrows, ncolumns, index)\n",
"plt.plot(x, np.sin(x))\n",
"\n",
"# The second plot\n",
"plt.subplot(2, 1, 2)\n",
"plt.plot(x, np.cos(x))\n",
"plt.tight_layout();"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 487
},
"id": "4ncWhj3uANFT",
"outputId": "50312d26-d00d-47f9-9913-107b0734e5f8"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"plt.figure(figsize=(15,5))\n",
"\n",
"plt.subplot(1, 2, 1)\n",
"plt.plot(x, np.sin(x));\n",
"\n",
"plt.subplot(1, 2, 2)\n",
"plt.plot(x, np.cos(x));"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 445
},
"id": "2ZtjF6RsCisj",
"outputId": "cef000c9-a00a-48af-cd14-a1e87db9133b"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1500x500 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"This interface is stateful: it keeps track of the \"current\" figure and axes on which all plt commands are applied.\n",
"You can get a reference to them using the procedures plt.gcf() (get the current image) and plt.gca() (get the current axes).\n",
"\n",
"Although this stateful interface is fast and convenient for simple graphs, it is easy to run into problems with it.\n",
"For example, after creating the second panel, how can we go back and add something to the first one?\n",
"This is possible in a MATLAB-style interface, but rather inconvenient. Fortunately, there is a second way."
],
"metadata": {
"id": "PkC56WV4C0y_"
}
},
{
"cell_type": "markdown",
"source": [
"#### Object-Oriented Interface\n",
"\n",
"An object-oriented interface is useful for more complex situations, as well as when you need more control over your figure.\n",
"In an object-oriented interface, the plotting functions are methods of the explicit Figure and Axes objects, and do not depend on any notion of an \"active\" figure or axes."
],
"metadata": {
"id": "hkAW3KAmD_Rx"
}
},
{
"cell_type": "code",
"source": [
"# ax is array of two Axes objects\n",
"fig, ax = plt.subplots(2)\n",
"\n",
"# Виклик plot() метода для потрібного обʼєкта\n",
"ax[0].plot(x, np.sin(x))\n",
"ax[1].plot(x, np.cos(x));"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "8uqTy88MElGr",
"outputId": "45f210e6-9b75-4d42-d7eb-dc4ed21f36cc"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"fig, ax = plt.subplots(ncols = 2)\n",
"\n",
"# Виклик plot() метода для потрібного обʼєкта\n",
"ax[0].plot(x, np.sin(x))\n",
"ax[1].plot(x, np.cos(x));"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "nVdLSnoxO4iH",
"outputId": "27b44a73-9ac8-43f8-831d-ea848fd1223b"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
],
"image/png": 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z7yYdnHwWk0DKMWKOEiEPUnn4jMoJNz5VAnJwFOatzsREWZrnhAMglS++10WTTi5Gw1F09AcAJFT9+cAcnEOdQ1TGT2SNySRID+DDlAqRjX5/IloOpGxmrkiSAHJwZIXd5/nINAqBHByFSelv8ndwaNLJzxHPCEQRqC23o67Cntc5FjRUwGYxwR+KonNwVOYREjyz0J14AFMERz4KERgzSGisDOw+z2abIjkhB0dBRFGUJt3SZGO4fDgvmUJ5j4TGssFEhIsa859wFrMJc+sS1Vf0oCJyYWHyvmPbhBCFU4jAmJEQGttIaCwj4Whc2nttYZ7R8nwhB0dBuoeD6POHYTYJWFzAhT0/KXz70DuCUJRWFXLAQqaL8wxlM9iKhLZsIHJhUTKCc7h7hHYWl4lCBMYMQRAoYi4zx3v9iMZFVDgsaHJl3+hWDsjBUZAj3sRDb3ZtGRxWc97nmVZZAleJFZGYiKNe2oVYDphguxDHEwAWMAfHSw4OkT3zGsphEoCBQBi9/pDaw+GCQgXGDEloTJVUssCilIvczqIKjAFycBTlaPKhN7+hsLxjYlWReBDTqqJw4nERH0gpKpkcHIrgEDngsJoxqzbRR+kDqo4smOHRiCQwLjQqywTKlHaWB3Z/LyxADpAv5OAoyIfJaMu8hty65I4HK2WmvHDhdA6OIhCOwWYxYXbyIZMvTCza0Reg9CGRE0yPQDqcwjnWm3iINroccOYpMGbMSy5Ij/X4qTpSBg5LAuPi6m8AcnAURa4IDpCadJSiKpz3k2Lt+Q3lsJgLmwINTjtcJVbE4qIkpCOIbFiUjP5RBKdwmF2cW1/4YnJmdSmsZgFjkRjODo0VfD6jw6LlFMHhCFEUcTT5wJsnw6RjE/dYLz1EC4UJjBfJsKIQBIHSVEResBXtYbpvCiZlawt/iFrMJmlvOlq0FEa/P4SekYTGbIEMC/1cIQdHIc4OjWE0HIPVLKClwDQIAGkH4t6REIbHIgWfz8iwB0qh+hsGVVIR+cAc42M9I4jQlg0FwRwROeQAADC3gRwcOWA2cUZ1Kcry6ORfKOTgKAQLmc6qLYO1wDQIAFQ4rHA7EyV2NOkK43ivvMaQpSCpkorIhelVJSi3WxCJiTjRG1B7OLrmmIzR8vTzHO2hOV0Ih1Vq8McgB0chPkw+7ObJGJZjaarj5ODkTSQWx+n+RNfhOXXyGEOK4BD5kJ7e/JCc47zxh6KSVkYODQ6QSnUdJVtbEEyHuoAcHL5gFVTzZcgJM0iHUzinB0YRjYsosZqliFihzE9O3u7hIKUPiZxgVXwUwckftuCrq7CjstQmyzlZdPeY10+NGAuA3ddyLSZzhRwchWChzfkypUEAYE495YULhU242XVlMJnkaTrlTEsfdvTRg4rIntlJw9/RR3M6X+Qs5mC01JTBbBIwEorC66NGjPlyoi9lb9WAHBwFiMdTHYflTFHNIwenYE4ko1+zZV5RsKZt9KAicoHdNyfIMc4btpiU08GxWUxoqSnNOD+RG75gBH3JLt2zZCi0yQdycBTg7NAYxiIx2MypSSIHLEXVOThKO93mCRMYz5F5RTEreb4OSjUQOcDuwxO9AUqF5Mkx1gNH5jJkSYdDvcfygkXL6yrsee/uXihFcXC2bduGlpYWOBwOtLa2Yt++fRMee9lll0EQhHNeV111lXTM9ddff87v16xZU4yvkhVsNdZSW1pwI7l0aspsqCy1QhQpZ58vqRSVvBGc2bQSlx0j2I0ZNaUwCQmhLO1JlR9KpKiAlA6HhMb5waLZhXaLLwTFHZynnnoKmzZtwu23346DBw9i2bJlaG9vR09Pz7jH//GPf0R3d7f0evfdd2E2m/GFL3wh47g1a9ZkHPfEE08o/VWy5iRzcGrkvbCCIGBuHQmNC4FFcOSedKkUFTk4cmAUu2G3mDG9KhHlpUVL7gQjMXQOJqoi5aqgYkhFHZSiygulFpO5oLiDc//992PDhg1Yv349Fi9ejIceegilpaXYvn37uMdXV1fD7XZLr507d6K0tPQcQ2W32zOOq6qqUvqrZE2HFMGR33OdSzqcvBkIhDE4mqhyklv0lu7gUKqhcIxkN2bXUSVVvpzqH4UoAk6HBTVl8lRQMVg3446+UVnPaxQkB4fXCE44HMaBAwfQ1taW+kCTCW1tbdizZ09W53j44Ydx3XXXoaws84+0e/du1NfXY8GCBbjpppvQ398/4TlCoRB8Pl/GS0lO9SsTwQHSeuFQBCdnmMC4yeVAqU3erprN1aUwmwSMhmNSa3IiP7RiN4Di2I7Ug5TmdK6c7E8tJgVBnqpIxoykfrLPH4I/FJX13EZA7QoqQGEHp6+vD7FYDA0NDRk/b2hogMfjmfL9+/btw7vvvouvfvWrGT9fs2YNHn30UezatQs//elP8fLLL+PKK69ELDa+8Hbr1q1wuVzSq7m5Of8vlQUnk43kWmrlExgzZiadJuZEEdkj9WSQOZQNAFazCTOqKdUgB1qxG0BxbMcsiuDkDbODMxVYTLpKrKhORoXI3uZGPC6mNDgqpqiKvzlEDjz88MNYsmQJVq1alfHz6667Tvr/JUuWYOnSpZgzZw52796Nyy+//JzzbN68GZs2bZL+7fP5FHNyorE4OgeSDo4Ck45VZSVCs6LsqxaeOa6w6K2lphQdfQF09AWwek6NIp9BTI1cdgMoju2YQwL1vJEWkzJWq6Yzs6YUA4EwTvWP4rwmlyKfwSPdviCCkTgsJgHNVSWqjUPRCE5tbS3MZjO8Xm/Gz71eL9xu96TvDQQCePLJJ3HDDTdM+TmzZ89GbW0tjh07Nu7v7XY7nE5nxkspzg6NIRoXYbeYZOuUm05zMkowEoxKehIiO473KBfBAYBZlGqQBa3YDaA4toOtcE8PjCIcpU03c0HJCA6QWqSepAhOTjA5wIwaeSuJc0XRT7bZbFixYgV27dol/Swej2PXrl1YvXr1pO/9/e9/j1AohC9/+ctTfs6ZM2fQ39+PxsbGgsdcKB1pFVRydcpNx2E1o9GVcJwobJobSmqjgLReOLQSLwij2Y0Gpx2lNjNicVGqCCKy42Sf8hEcADhFQuOcYDaQ6cvUQnHXatOmTfjVr36FRx55BIcPH8ZNN92EQCCA9evXAwDWrVuHzZs3n/O+hx9+GNdccw1qajJD/X6/H9/73vfwxhtv4OTJk9i1axeuvvpqzJ07F+3t7Up/nSlhJeIzFZpwACStx6l+mnTZIooiTidTh0pdG+qFIx9GshuCIKQ6GpMOJ2tC0Ri6hhObbFIER1uk9qBST2AMFEGDc+2116K3txdbtmyBx+PB8uXLsWPHDklAePr0aZhMmX7WkSNH8Oqrr+KFF14453xmsxlvv/02HnnkEQwNDaGpqQlXXHEF7rrrLtjtdqW/zpSwnLCSraln1pRib8cAOTg50DMSQigah9kkoKlSmZwwu+an+0cRjcVVDc3qHaPZjZbaMrzX5aOobA50DoxBFIEymxm15fKWiDNm1tBiMh+UTh1mS1FExhs3bsTGjRvH/d3u3bvP+dmCBQsm7CVSUlKC559/Xs7hycrJIlxYqqTKHRa9aap0wKqQ4+F2OuCwmhCMxHFmcEyRPkhGwkh2g0VlWYECMTXpD1Glii1YBMfjC2IsHEOJzazI5/CG0tHybKElpsycTNumQSmkVQUZw6w5nVyBsQeJEphMgnT+03RtiBxoTnYz7hwcU3kk+kHJdhyMylIrnI5EHIDmdHbE4yLOJO9jdl+rBTk4MhKJxSUDpWSKqoUiODnDnEElHRwgNaHJGBK5QI5x7hQjDSIIghSJJR1OdvT6U3KAxkr5K4lzgRwcGTk7OIZYskS8oUK5C5vqsBmmDptZ0ik5OMqmjVgZP1XDELmQnqKKx2mrj2xQugcOgyQBuVEMOUC2kIMjIyn9TakiJeIMp4M6bObK6WJFcEhLQeRBY6UDZpOAUDROu4pnSbGErMyBOklC46wohhwgW8jBkRGWnirGhZVC2jTpsuJUkSYd69rZOUBaCiJ7rGYTmpLhfEpTTU0kFpd0Hkr1tWJQBCc3irWYzAZycGTkTDItMb0IwioSGmfPaDiKvuSqeIbC4Wx2fkpREbki6bdo0TIl6XKA+gply/ylCA41+8uKziI+B6eCHBwZOZNctU8vwt4btKrIHhZNcZVY4SqxKvpZ7CE1NBqBL0hbaRDZQ0Lj7JGqdKqVlQOwzwASpeLRGG2lMRWdFMHhExbBaS7ChZ1J3YyzhjmBxZhwZXaLpI8iHQ6RC6Tfyp5UtFz5xWRduR02swmxuIju4aDin6d3KEXFKWxVUYxJxz7j7BBpPaZCmnBFajpFDyoiHyiCkz3FtLUmk4Bpyc85Q32KJiUYicHrS8oByMHhh0Aoiv5AGEBxco/TkzdP19AYlZVOQbFDpiQ0JvJhBrUYyJpi6h0Tn8McHLo2k8H+PhV2CypLlZUDZAM5ODLBIilOh0VxnQcANFTYYTEJiMRE9IxQWelkFKvJH4N64RD5wO4bry+EYCSm8mi0TTEjOOmfQxGcyWHRx+nVpYptn5EL5ODIBIsSFEN/AwAWswluV6KslFYVk1PsCA6lGoh8qCq1otye2BaA5vTkpBycYkVwSjM+lxgfFrWeUV0cx3MqyMGRiWKvKNI/iybdxIiiKEXXinVtpH2FyMEhckAQBGmBRM7xxISiMXhHEmLf4kdw6LpMhpYExgA5OLIhRXCKWPs/rTLxWSQ0npj+QBjBSKK0k0W8lKY5uXrpHCR9FJEbbOVLvXAmpnsoCFEEHFYTapIVi0pDEZzsOF3kTMZUkIMjE+pGcMgYTsTZ5HWpr7DDbjEX5TObKktgEoAwtd0ncoQtWrqoHHlC0tNTxdJ5sMIB6oUzOV1FjpZPBTk4MnFmqPieK6WopoZNuGlFnHBWswmNLlZJRc4nkT1su4azNKcnpJg9cBi15XbYLNQLZypYNqGpkhwcrugcKK7oDUg9tMkYTgybcNOKPOGmUZ8iIg+ov9XUqBEtN5kETK+kBeVkBEJRDI0murcX295OBDk4MuALRjA8lriwxZx0TO9zhnrhTAgzRsWM4ACQjGHXEK32iOwhXd3UFLsHDmMaSQImpSutVUqFQ/0eOAA5OLLA9qCqLrOhLFnmWQzcLoek9egLkNZjPKQKqiKvKFiI9uwQGUMie1iKqnckhFCUeuGMhxoRnMTnkdB4MrSWngLIwZEFNXLCQELr4XayXjg06cbjrEoRnCaK4BB5UF1mg8OaMMvddO+MS7F74DBI8zg5xW7HkQ3k4MiAmspxWlVMTkqDU1xjyFbiXZRqIHJAEIQ055junY+iRg8cBlWtTk4XRXD4hJV0ssqZYkJC44nxh6KSNqrYEZxplSQWJfKD3Ttn6N45BzV64DBoMTk5UrScHBy+UDP3SKuKiWETzlWSaoFfLNi9MBKMwheMFPWzCX0zjSI4E5Jua4u919H0tF44MSrqOAeWjqcIDmd0s0lXpE656VCkYGKYwFeNFUVZ2m66pKUgckGa0xQpOIculdo+AIleOBaTgFhcRM8IzemPclaFnmNTQQ6ODKjpuVKKamLY30StFUWTiyqpiNyRNDjDNKc/SrckByj+YtJsEtDgZNo6cnDSicbi8PgSfxNKUXFEJBaXvHk1HqRM90PdNc/ljMqq/lSpOF0bInto0TIxagtZKX04Pt6REGJxEVazgLpyu9rDkSAHp0C8viDiImAzF1/0BqSqdfwh0np8FLVFb9OokorIA+khOhykBp4fgRV0NKlQ0AEAjck53U3RtQyYjWt0lcBkKq42ajLIwSkQFqpsrHSocmFLbRa4SkjrMR5q7EOVDvtccnCIXKAGnhPD9I7M0Sg2LGJOKapM1F5MTgQ5OAXCPHk1csIM9tmUs89ErX2oGNTPhMgHq9lEWo9xEEUxI1KgBtTfany0KDAGyMEpGC20p2afTRGcFAltVGL1q9Zqj7oZE/nSRJVU5+ALRhEIJ7avaFJrTpPmcVy08BwcD3JwCoQ5FWrlhIFUBIfywil6RkIQRcBqFlBbpo7ojUWOPL4gorG4KmMg9Emq/QNV4DGYfasstaLUVty+VgzS4IxPl0p7/k1FURycbdu2oaWlBQ6HA62trdi3b9+Ex/72t7+FIAgZL4cj01sXRRFbtmxBY2MjSkpK0NbWhqNHjyr9NcZFbVV/+mdTpCCFJ2mAGpzqaKMAoK7cDqs50TfDO0Jailzh2W5MRepBSnOawRaTaqWngNRCts8fRjBCm6Ey2LVxqyjVGA/FHZynnnoKmzZtwu23346DBw9i2bJlaG9vR09Pz4TvcTqd6O7ull6nTp3K+P0999yDBx98EA899BD27t2LsrIytLe3IxgsvjFIhebU1+DQqiJFlwYiayaTkCZKpGuTC7zbjalg962HHBwJpjGcpqKtrSy1osRqBkDXJh12bdR8Do6H4g7O/fffjw0bNmD9+vVYvHgxHnroIZSWlmL79u0TvkcQBLjdbunV0NAg/U4URTzwwAP4wQ9+gKuvvhpLly7Fo48+iq6uLjzzzDNKf51zYCssNSM41AvnXJjxUXtFIQnAycHJCd7txlS4pcIBmtMMtQXGQOIeY9E1KupI4A9FMRKMAgDcKl6b8VDUwQmHwzhw4ADa2tpSH2gyoa2tDXv27JnwfX6/HzNnzkRzczOuvvpqvPfee9LvOjo64PF4Ms7pcrnQ2to64TlDoRB8Pl/GSw4CaZs5qllFla7sF0XqmwGkjI9aAmMGuy9otZc9WrEbgHK2YypS9w09RBndaS051EQSGpMkAEDKtlU4LEXf828qFHVw+vr6EIvFMlZSANDQ0ACPxzPuexYsWIDt27fjP/7jP/C73/0O8XgcH/vYx3DmzBkAkN6Xyzm3bt0Kl8slvZqbmwv9agBSKaEKhwUVDqss58wHttoLReMYHKVmf0Bq0jU61TWGboqu5YxW7AagnO2YCjane0ZCiJBAHUBaGkTlKAFFZTPxqLh9xlRoropq9erVWLduHZYvX45PfvKT+OMf/4i6ujr83//7f/M+5+bNmzE8PCy9Ojs7ZRkra8GvdnMju8WM2vJEF2WadAlYaL9R5WtDEZzioITdAJSzHVNRW5YQqIsi0EsCdQDakAOkfz6lDxMwx1Nr6SlAYQentrYWZrMZXq834+derxdutzurc1itVlxwwQU4duwYAEjvy+WcdrsdTqcz4yUHqZyw+p4r6XAy8WigASOQWol3++i6ZItW7AagnO2YClPaxo40p4F4XEyrolI5RUWl4hloJVo+Hoo6ODabDStWrMCuXbukn8XjcezatQurV6/O6hyxWAzvvPMOGhsbAQCzZs2C2+3OOKfP58PevXuzPqdcdGskSgBQJVU6GU3+NBLOJi1F9vBuN7KF5nSK/kAY4VgcgqCFwgGqjEynWyMFHeOhuCJo06ZN+MpXvoKVK1di1apVeOCBBxAIBLB+/XoAwLp16zBt2jRs3boVAHDnnXfi4osvxty5czE0NIR7770Xp06dwle/+lUACRX7t771LfzoRz/CvHnzMGvWLNx2221oamrCNddco/TXycDLLqwGPFfqhZMivcmfGhugpvNRLYXVrLmssCbh2W5kSyLkP0jpTaScvERvKXXnkBTBIVsLILV401qJOFAEB+faa69Fb28vtmzZAo/Hg+XLl2PHjh2S2O/06dMwmVI37ODgIDZs2ACPx4OqqiqsWLECr7/+OhYvXiwdc8sttyAQCODGG2/E0NAQLrnkEuzYseOcxl5Kw9IOWvBcabWXwiPlhNVr8seoLbPDYhIQjYvoHQmprh/QCzzbjWxJzWl6kGorWp4Yw0goipFgRNUCEy2QiuCof20+SlFqujZu3IiNGzeO+7vdu3dn/Puf//mf8c///M+Tnk8QBNx5552488475RpiXmgpgtNI+1FJSDu8O9WfcExLcXZoDN3DQXJwcoBXu5EtzK5QBEdbOo8yuwUVDgtGglF4fUFycKiKik+0sJM4o4l2FJfQSpM/BlVSEflAYtYUHg1Fy4F059PYFW6j4VQvOK1cm3TIwcmT0XAUvmT3xgYNXFhJ6+ELGb7Zn1aa/DHclD4k8oB6KKVg0fIGDURwgNSc9hi8OpIt2spsZlRorMkfQA5O3mjtwtZXJCZcOBbHQCCs8mjURUvhbIAiOER+NKYJ1I2+G73W0iANUgTH2IuW9AoqQVBX7zge5ODkCfPcGzRyYW0Wk9Tsz+irCq00+WNIK3GDXxciN2rLEwL1WFxEn9/YixavT1sRnEaK4ADQTvPFiSAHJ0+02J6aTX6vwSedVpr8MSiCQ+SDOaPZn3EjBaIoak6D00AaHABpFasacTw/Cjk4eeLR2IoCIOEbAERjcam1vVaMoZscHCJP6N4BfMEoRsMxANp5kEq21mdcxxPQXurwo5CDkyeajOBQ2BS9/hDiImAxCagts6s9HACpe8TrCyIeN7YAnMgNt1Qdadw5zSLSrhIrSmxmlUeTIOV4GncxCWi7Bw5ADk7eeDTUA4fBxuI1sDFk16W+wq56kz9GXbkdJgGIxkX0BYxtEIncaCQxqzZtbdLB6Q+EEI4aVwCecnC0sZj8KOTg5EkqJ6wdz5U2dkwTI2oosmYxm6QqNyOnGojcSZUjG9cx1lpfKwCoLrVJu733jBh3TjN769ZAU9XxIAcnTzS5qqAIDrzJB4GWrguQ3gvHuNeGyB0qHEhbTGpoTqfv9m7UaxOKxqSWJFpyPtMhBycPIrE4ev3aErIC1HwK0Kb4G6C2+0R+GP0hCmS25NASRi/q6EkuJm1mE6pKtbldBTk4eaCl3arTYcZweCyCYCSm8mjUQWsdTxluFz2oiNxJd4yN2qFciwUdQMrhMmoJP7Nl9U67JnrBjQc5OHmQErKqv1t1Ok6HBSXWRJWBUSMFKW2UtkRvUt8McnCIHKh3Ju7jUDQO31hU5dGogxblAECaJMCgc1qrcoB0yMHJAy2K3oDEbslGT1NpreMpoyH5oOoxsFiUyB2H1YzKZPjf6HNaa/a20eACcK3KAdIhBycPtNZVMx1aVWhzVUERHCJfjDynQ9EY+pmQVaNz2qhFHT3k4PCJFCWo0N6FNXLnU38oCn8oucO7xiYdiUWJfDGycywJWS0mKZKlFVJtOYypwdGqHCAdcnDywKvhC5vau8Z4xpA5dRV2C8o0sMN7OixFNRKMYjRsTC0FkR/s3jFipIA9RBs1sqlxOqnIWsiQAnCPRgs60iEHJw+0qvMAADczhgZc7WmxyR+jwmFFWbLNvNegOXsiP6QHqQEbykkPUQ1Gy5n9D0fjUj8YI9GT3PNPi89BBjk4ecDCpvUanHRGFhl7NdgQLJ0G6oVD5EG9gfutaHnRYrOYUJ1sE8Ie9kZBFEWK4PCKVlX9gLGFb1pX9bNxGbm1O5E7bgPfN1KUoEJ7cgAgsecdYLyI+UgoirGItnZ4Hw9ycHJkJBhBIJy4sPUanHTM6eoZCRlu5+pUkz/tXRcgTUthMGNIFIaRCwe0vJgE0uytwdLOzNY6HRbN7PA+HuTg5AjTT2hRyAoAteV2CMmdqwdGjZUX1nL5PpAKsxsx1UDkD2v21+cPIRoz1s7VqW65Gp3TFcasjtR6tJxBDk6O9EgTTptRAqvZhJoyY0YKWMMtrU46yRgaMNVA5E9tmR0Wk4C4CPT5jbVoYQtKraaopKiswea01G9Mo4tJBjk4OcJuZK0+RAHjds3t0bjIWNqPyoCpBiJ/TCZBSocbqXhAFEVNV6wCqciS0SojtX5dGOTg5IhX41ECwJhN5WJxURIkanVVYdTVHlE49Qac0/5QFKNM76jRiLlUOGCg6wKkOzjavC4McnByRA+ea0rMapxVRX8ghFhchEmApnZ4T6fB4I3BiPwx4nYNkt7RYUGpTXt6R8CYthbQ7gaoH4UcnBzRg+dab0CtB0vH1ZbbYTFr87Zm1yUcjWNoNKLyaAg9weyNkSqp9LDXERtbrz+xwDIKWhd/M7T5JNAwekpRGSls2qMDbZTNYpKiS0bSUhCF02DABp4pvaN2F5M1ZTaYhESKvD9gnCiOVjc1/ijk4OSIHiI4RgybeqXu0tq9LoAxtRRE4bAKvF4DdcxNVVBp9yFqMZtQW26soo5YXESvX/sLfYAcnJwQRVHT2zQwjCgy1kvI1Mh7hRH5k4rKGuMhCuhnThvN3g4EwojFRQgCUFuuTb0jgxycHBgajSCcbLSlVVU/YMzGYKmN37R7XYBMoTFBZEu9ASvwenx6mdPGKuFnjlxNmXb1joyijG7btm1oaWmBw+FAa2sr9u3bN+Gxv/rVr3DppZeiqqoKVVVVaGtrO+f466+/HoIgZLzWrFmj9NeQjEt1mQ12i3bbU9eU2WFONgbrN8gut1IDRg1H1oBUCs2I+wrlCi92Qw5YmmZoNIJgcg8g3tFDxSpgvF44PTrQRjEUd3CeeuopbNq0CbfffjsOHjyIZcuWob29HT09PeMev3v3bnzpS1/CSy+9hD179qC5uRlXXHEFzp49m3HcmjVr0N3dLb2eeOIJpb+KVMGgdZ2H2SRIoUOjhE29OlntGc0Y5gtPdkMOnCUW2CwJc20UHY4eRMZAyvk0SlFHj070jkARHJz7778fGzZswPr167F48WI89NBDKC0txfbt28c9/rHHHsPXv/51LF++HAsXLsSvf/1rxONx7Nq1K+M4u90Ot9stvaqqqpT+KmkhU22vKADj5ez1UEUFpEdwjHFd8oUnuyEHgiCkOpQbIPqX6GKsfb0jYLxNdPVQScxQ1MEJh8M4cOAA2traUh9oMqGtrQ179uzJ6hyjo6OIRCKorq7O+Pnu3btRX1+PBQsW4KabbkJ/f/+E5wiFQvD5fBmvfNBDBRXDSL1wYnFRWtVqfVVhxBL+XNGK3dAaqUgB/87x0GgE4aj29Y6A8XR1zMHWuvgbUNjB6evrQywWQ0NDQ8bPGxoa4PF4sjrHrbfeiqampgxjt2bNGjz66KPYtWsXfvrTn+Lll1/GlVdeiVhs/Nz01q1b4XK5pFdzc3Ne30cP+1AxjFQq3u8PIS4i0cW4XNvGkBnr3pEQ4gZqDJYLWrEbgHyLIzmoN1CkgNnaqlKrpvWOQOq6GCGyBuinJQcAaLP/dZKf/OQnePLJJ7F79244HCmn4rrrrpP+f8mSJVi6dCnmzJmD3bt34/LLLz/nPJs3b8amTZukf/t8vrycHD3lHo0UKWATrq4iIa7WMrXldggCEI2LGBgNSz00CPmQy24AicXRHXfcofiYs4FFZY2Q3tRTGoSNsc8fRiQWh1XjlUWF0qujhb6iV6K2thZmsxlerzfj516vF263e9L33nffffjJT36CF154AUuXLp302NmzZ6O2thbHjh0b9/d2ux1OpzPjlQ9elgbRwYU1Ul5YL/obALCaU92MjZBqyAet2A0gsTgaHh6WXp2dndl/EZmpN1BUVi89cACgutQGS3JhZSTnUw8LfUUdHJvNhhUrVmQI/Zjwb/Xq1RO+75577sFdd92FHTt2YOXKlVN+zpkzZ9Df34/GxkZZxj0RvVIpsvYvrJGqdfQ04QBj6aPyQUt2Q67FkRxIGhwD3Dc9OrK1JpOQKh7gfEGppy7GQBGqqDZt2oRf/epXeOSRR3D48GHcdNNNCAQCWL9+PQBg3bp12Lx5s3T8T3/6U9x2223Yvn07Wlpa4PF44PF44Pf7AQB+vx/f+9738MYbb+DkyZPYtWsXrr76asydOxft7e2KfY942oXVw6rCSMZQT6s9IE2HYwDnM194sRtyImk9DHDf6KVxJ6POaYz0oZ66GANF0OBce+216O3txZYtW+DxeLB8+XLs2LFDEhCePn0aJlPKz/rFL36BcDiMv/u7v8s4z+23344f/vCHMJvNePvtt/HII49gaGgITU1NuOKKK3DXXXfBblduMgyOhhGJJUShdTrQTTRI3YzDCEfjUg8NHpGMocbLSRlGcj7zhRe7ISdStY4B7hs9bImTjlHaP+ipizFQJJHxxo0bsXHjxnF/t3v37ox/nzx5ctJzlZSU4Pnnn5dpZNnDbtzqMpsunIWqZF44GhfR5w+hqbJE7SEphhTO1slqz0haikLgwW7ISXo341A0pvnqokKQSpF1kKICUuPs5TxF1auzyJr2n9QaoUcnfVYYJpOAOqOsKnTS8ZRR76QIDpE76d2MeU9TSbo6naSdjdILx6sjbRRADk7W6E3nAcAwwje9hrN5N4aEvBilm7Eo6qdxJ8Moe8zpqXwfIAcna/Q24QCgzgB9M6KxOPok8bc+rg0zDkbZU4iQj3oDdDMeHosgHEt0Ma7Tib1NNfvj97oA+ksdkoOTJXoqW2QYYdL1B8KIi4kNRmvK9HFt0ld7okjdjInsMUJ/K2avXCVWOKz60BkZpQmj3lKH5OBkid5Cc4AxdrllK9nacpvmuxgz2Ko0EhMxOBpReTSEnjDCg1RPe/4x6qWq1RCiyegTj+ipizFADk7W6C00BxgjgpO6LvqYcEBmN2OeV+KE/BihAk9vmjogUTZtEgBRTESVeUVvTVXJwckSqYpKT6sKAwjf9Fbdxqg3SGMwQl7qDdBDSY9z2mwSpH3leNVHZTa71ce1IQcnC0RR1OWqwgiCROm66GTCMVKVVPw+qAj5SVVGcjynk85bnd7mNOcVbv0ZXYz1cW3IwckCPar6gcy8cCzOp5hVMoY6cjyBlL6AZ30UIT8NBuihxJw3vXQmZ7Dx8po+ZPdcTZlNNzum62OUKqNHVT+QuBFNAhAXgf4Ar5NOf+FswBhiUUJ+2H0+OBpBOMqnmFXS1VEER1MwW6WnxSQ5OFmgR1U/AFjMJtRwnhfWrYNjoI0TCfmoLLXCllw9Mz0Eb6TmtH4epAD/fcd6dSYwBsjByQo96m8YvAuNeyTnU1/XhvfrQiiDIKRtwcJhejNT76ifBynAvz5Kj5XE5OBkgV6jBADfky4eT2vprrPoGu+rPUI5eN5jbiQUxVgkBkB/c5p3fZQeK4nJwckCPe5DxeBZ6zE4GkZUZ6p+Rn3aQ4q6GRO5UM+xg8MWYhV2C0ptFpVHkxs8LyYBfWYyyMHJAj3uQ8XgWfjGDHx1qX5U/Qy2Cg9H4/CNRVUeDaEn2Jzu5TBFpdcScSCzajXOYdUqpag4Ra+qfiAVdeKxdDGl6tffdXFYzXCVWAHw6XwSysFzVFbPi8nacjsEAYjGRQyM8tfNmFJUnKJXVT/Aezhbv6lDgO9rQygHz/eNHtMgDJ63YBFFUZfPQXJwpkDPqn4gNWY+w9n6vS4A3+lDQjl4vm/02pKDwWvxgG8sKvVd0lPEnBycKQiEY5KqX08XlsGiG71+/sSseg5nA8bYSoOQH57vG9bbR4+2FkiNu5czB4c5006HRVfNbsnBmQKWBimzmVFm15eqHwDqktVFkZiIwdGIyqORFz2K3tLhOdVAKAe7b3jcgkXPKSogLWLO2ZxO6W/0dV3IwZkCvV5Yhs1iQlUpn2LW1Eab+rw2PPczIZSjptzO7RYs3CxaOJME6PW6kIMzBXqu1GHwGtLWvwaHXRe+jCGhLGaTwO0WLHqs1EmH16isXnWo5OBMgVSpo7MLm05KlMjPpEuo+tm10WkEJ/mQ4nVPIUI5eEyFBCMxjAQTPaH0tKFjOtKihaPrAug3k0EOzhT06rA07qOkUiH8RApGQlEEIwlVv25Xe1LDNr6MIaE8PO5lxqIEdosJTof+9I4An9cF0G+0nBycKdB7yBTgM0UltXTXmao/HWYsRkJRjIVjKo+G0BNczum0hqqCIKg8mvxIvy48Va2yTIbepBrk4EyBXsVV6fAYzubhupTbLShJOme8rfgIZeEx7azHRnIfhV2XUDQOX5CfLVj0mskgB2cK9F62CKSlQjgyhnqdcOkIgsDlg4pQHh5TITzoHR1WMyqS6bVenq6NTjMZ5OBMgV4vbDpMzMqXMdT/dQH434GYUAYeO+Yysb2eHRyAv0qq0XAU/lAiGqW3a0MOziQEIzEMjyWa4+ntwqbDo7KfhxQVkL5xIj/OJ6E8UuSPI8eYfRe96Tw+Cm/djNl1KbGaUa6zZrfk4EwCu0FtFpO087MeYU7AaDgmeeJ6h4d8PUDN/oj8SNfV8SJm5WVO8yYAT89i6E38TQ7OJEhN/sr1d2HTKbNbUGZLilk5aSrHTYqKw5U4oTzMMQ7H4vCN8bVoqdP7nOZMH6XnPf+K4uBs27YNLS0tcDgcaG1txb59+yY9/ve//z0WLlwIh8OBJUuW4Lnnnsv4vSiK2LJlCxobG1FSUoK2tjYcPXpU9nH3cqC/YfCWpmLGQ+/hbEpRTYxe7UYxsFvMUlSZl3unl5e0M2eFA3q2tYo7OE899RQ2bdqE22+/HQcPHsSyZcvQ3t6Onp6ecY9//fXX8aUvfQk33HAD/vrXv+Kaa67BNddcg3fffVc65p577sGDDz6Ihx56CHv37kVZWRna29sRDMo70dmEYyJdPcNbKoSHKiqAzxJ+OdCz3SgWPIlZo7E4+gNhADzMaU5TVDq8Loo7OPfffz82bNiA9evXY/HixXjooYdQWlqK7du3j3v8v/zLv2DNmjX43ve+h0WLFuGuu+7ChRdeiP/zf/4PgMQq7IEHHsAPfvADXH311Vi6dCkeffRRdHV14ZlnnpF17DxUUDF42gQuGIlJPSb0uKpIh7fVnlzo2W4Ui9S9o/853ecPQxST+2yV2dQeTkHwlqLSs/hbUQcnHA7jwIEDaGtrS32gyYS2tjbs2bNn3Pfs2bMn43gAaG9vl47v6OiAx+PJOMblcqG1tXXCc4ZCIfh8voxXNvDQA4fBvgMP+x6xaIeeW7oz2HUZCIQRjsZVHk3hPPL6Sdz17Pt4+8xQ3ufQit3QOjxFCpgzUFtug8mkX70jwN+iRc8Vq4o6OH19fYjFYmhoaMj4eUNDAzwez7jv8Xg8kx7P/pvLObdu3QqXyyW9mpubsxq/ni/sR5FKFzkyhnpU9X+UqlIrrObEd+jjwPl87p1uPPxqBzr6AnmfQyt2A8h/cVQMeEpR8bSYZD2KRoJRBCP634IlpUXV37UxRBXV5s2bMTw8LL06Ozuzet81F0zD//7EbCyZ7lJ4hMpDxlCbCIKQ1ohR/9eGF20UI9/FUTHgSVfHS5M/AHA6LLBbEo9WHrR1et1oE1DYwamtrYXZbIbX6834udfrhdvtHvc9brd70uPZf3M5p91uh9PpzHhlw9XLp2HzZxbhvCYOHByO8vV6nnDjUZdcGXFlDAvQrWnFbgD5L46KgVQZyYGuTs86j48iCEKa86nvaxOOxjEgib/1d20UdXBsNhtWrFiBXbt2ST+Lx+PYtWsXVq9ePe57Vq9enXE8AOzcuVM6ftasWXC73RnH+Hw+7N27d8JzEunlyDw8RPlJHQL8bKUhV0t3LdmNfBdHxUCqwOMgtcnbnOZlC5b+QGL8FpOAqlL9ib8VV2hu2rQJX/nKV7By5UqsWrUKDzzwAAKBANavXw8AWLduHaZNm4atW7cCAP7xH/8Rn/zkJ/Gzn/0MV111FZ588km8+eab+OUvfwkg4R1/61vfwo9+9CPMmzcPs2bNwm233YampiZcc801Sn8d3cIm3NBoBKFoDHaLWeUR5Y+ec8LjwUuzPzlbupPdmBq+dHWsyR8nc5qTBSWb07Xldl2KvxV3cK699lr09vZiy5Yt8Hg8WL58OXbs2CGJ/U6fPg2TKRVI+tjHPobHH38cP/jBD/BP//RPmDdvHp555hmcf/750jG33HILAoEAbrzxRgwNDeGSSy7Bjh074HDwMTmUoLLUCpvZhHAsjt6REKZXlao9pLxJ7zDNA7zoo+Rs6U52Y2rYfTMSimIsHEOJTb+LFt7SzrxIAvTeKqUoNbYbN27Exo0bx/3d7t27z/nZF77wBXzhC1+Y8HyCIODOO+/EnXfeKdcQuYflhc8OjaFH7w4Oy9frdNJ9FKmEX+fGsFdmx5PsxuSU2y0osZoxFomhZySImTVlag8pb3p9lKLSInpPHRqiiopIUMfNpONstcdNBCdVvk8ojyAIXPRcEUUxVUVFKSpNkRJ/6/O6kINjIFLbAug3UpBo6c5XKTI3GhzOSsT1AA+RgsHRCCKxxI7ovKSd6zhwPAH9LybJwTEQPKz2+gP8tHRnMIegzx9CPC6qPJr84anUVy/wsFkrG3tVqRU2Cx+PJB4Wk0DaBqg6jcrycTcRWcFDa/eUql//Ld0ZNeU2CAIQjYsYHA2rPZy80Xu+Xo/w0OyPp8adDPZd+gNhRGP63YJF71FZcnAMBA+bwKUeovqccONhNZtQnewxoecHFW/l+3pAKhXX8X2j90qd8agps8FsEiCKiY1E9YpUOKDTRQs5OAaChxSV3nPCE8HFSpzTa6NleBCos0WLXh+i42EyCagtZ4sWfS4o43ExbesVfV4bcnAMBA/KfimczdFqD9B/2329t3TXK3q/bwA+U1SA/iUBg6NhRJOawFqdir/JwTEQ7MHT7w8hplMxa2q1x5sx1PdKnO2ErteW7nqlnoMUld6jBBOh9znNxl1dZtOt+FufoybyoqbcDpMAxMWEk6NHeE2D6P1B1ZOWq+dF/K0HpEVLIIyITsWsvPZP0ns3Yx5sLTk4BsJsElBTzseqQs+Tbjz0LgDv4awTrV6oKrXBknQo+3S/aOErKlunc0kAm9N61kaRg2Mw9P4glVq6c1apk9JS6NQYShEcvq6L1jGZBGlOe3V474iimKbB0e+DdDz03oSRzekGHdtacnAMhp63a8ho6c6rMdTrao/DUl+9UKdjoXEgHMNYJAZA35GC8ZBK+PUaWeMgKksOjsHQ84M0vaW7XlX9E5HekVYU9ScAZx1PeWm1ryf0PKfZQ7TMZkaZvSh7PxcNSVenQ8cT4EMOQA6OwdBza3c2Zj2r+ieCRT6CkThGQlGVR5M7vRTBUQ1dOzgcN4dk36nXH9LlooWHa8PXU4KYEj1v7Mhrrh4AHFYznI7EClaPqQZehaJ6gP3N9bjvUXr1HW+waGYkJmJwNKLyaHKHh61XyMExGDys9ng0hoC+hcbepFPWQBGcoqPvRYv+H6ITYbOYUFVqBaC/iHmm+Fu/ixZycAxGnbTa058x9ErGUL8TbjL06nzG4qK03w6v10bL6PW+AdKb/PF53+i1m7EvGEUomuirpOe0Mzk4BiO9oZze8sK9UtmififcZOi1hH8gEEYsLkIQIO2/QxQPfevq+NZu6XX/P5burHBY4LCaVR5N/pCDYzBYeicci2N4TF95YR5ywpOh1xQVuy41ZXZYzGRSig17iPaO6G8LFnbv8Lto0afz6eVE70jWyGA4rGa4SlheWGcPUp/+Vf2TITVs0+t10bkx1Cs1ZbbUFiwBfd07Xg50HpOhV31UyvHU93UhB8eANOh20vH9INXrztC87iWkFyxmU2oLFr3Nac7F6Q06TTvzsmghB8eAsNWSV0cPUlEU01JU+l5VTIReN9xkxrCB0+uiB/R47wQjMfiCiZ5PvG7xwRYtettGg4ceOAA5OIZEj8K3kVAUwYj+Vf2ToddqGC9FcFRHjwJ15hjbLSapBxRv6PG6APxEy8nBMSB6jOAwY6h3Vf9ksNWSPxRFQEfdjHkJZ+sZPZYjp+s8BEFQeTTK0JBWOKCnqlUedhIHyMExJA1O/YWzea+gAoByuwVltoTzpqcoDu0krj56jMryUqkzGcxBCEXj8I3pZ9HCS38icnAMiB4jOLxMuKnQo9CYd6GoHtBjKsQI4vSMLVh0dW346E9EDo4BadDlas8YD9E6nelwRFFEr58PQaKeqZP6rejjvgH4LxFnNOhMaBwIReFPpsj1Hl0jB8eApEdw9JIXlip1OH+I6k1oPDgaQSSWuIfY5oJE8dFj6wcjRHCA9PShPiI4zPaU2swot+tb/E0OjgFhEy4UjUtlmlrHy0nZ4lTorfMpi6xVl9lgs5A5UQsptTmiw0UL7xGcCn1FcNI3QNW7+JsskgHJyAvrROvh5XjX4XSktvt6MYaclJPqHRY9i8REDI7qYwsWo0Rw6nQWweFpMUkOjkGRyhd1kgpJCVn1P+kmg6UavDoxhryUk+odm8WEmrLERqd6eZD2GKVwQGf6KJ5sraIOzsDAANauXQun04nKykrccMMN8Pv9kx7/jW98AwsWLEBJSQlmzJiBb37zmxgeHs44ThCEc15PPvmkkl+FO9iqSQ+VVIkuxnzvJM5o0Fk/k9R1kc8Ykt3IDz11zQ1GYhhKRpq4n9OSPkr7thZIm9McLFoUVRCtXbsW3d3d2LlzJyKRCNavX48bb7wRjz/++LjHd3V1oaurC/fddx8WL16MU6dO4Wtf+xq6urrw7//+7xnH/uY3v8GaNWukf1dWVir5VbijQUerCn8oitFwDIABVnvSQ0onxlCB1CHZjfyor7DjcLc+7h3W9sFmMUmb//KK3iI4khyAA8dTMQfn8OHD2LFjB/bv34+VK1cCAH7+85/jM5/5DO677z40NTWd857zzz8ff/jDH6R/z5kzBz/+8Y/x5S9/GdFoFBZLariVlZVwu91KDZ976nQUwfGmdTEusfHZxZjBVnu+YBRj4Zjmv6/cGhyyG/mjp0hBeuNOvQtZp6IhzdaKoqj57+ulFNXU7NmzB5WVlZKRAoC2tjaYTCbs3bs36/MMDw/D6XRmGCkAuPnmm1FbW4tVq1Zh+/btk1YOhEIh+Hy+jJfR0VMEJ72lO++U2y0olboZa/9BJbcx1JLd0Bt66rdipO09WAQnGIljRAdbsPRw1J9IsQiOx+NBfX195odZLKiurobH48nqHH19fbjrrrtw4403Zvz8zjvvxKc//WmUlpbihRdewNe//nX4/X5885vfHPc8W7duxR133JHfF+GUej2t9gxkDAVBQH2FHSf7R+H1hTCzpkztIU2K3B1PtWQ3gMTiKBRKOQxaXhyll4prHaMIjAGgxGZGhd2CkVAUPb4QnA5tp+R40jvmHMH5/ve/P65YL/31wQcfFDwwn8+Hq666CosXL8YPf/jDjN/ddttt+PjHP44LLrgAt956K2655Rbce++9E55r8+bNGB4ell6dnZ0Fj0/v6KmKiqeQaTboRYcjimLWq73x7IbL5QIAuFwuTdoNILE4crlc0qu5ubngMSoFE4XqIYJjlM7kDL0sKP3pXYw5sLc5R3C+853v4Prrr5/0mNmzZ8PtdqOnpyfj59FoFAMDA1PmwEdGRrBmzRpUVFTg6aefhtU6ucfb2tqKu+66C6FQCHb7uRPGbreP+3MjU1+hn7wwL/uiZEuDThycodEIwrE4gKmvzXh2w+/346KLLsL+/ftRXl6uObsBJBZHmzZtkv7t8/k06+ToaR+zHo56rWRDfYUDx3sDml9QsnunjIMuxkAeDk5dXR3q6uqmPG716tUYGhrCgQMHsGLFCgDAiy++iHg8jtbW1gnf5/P50N7eDrvdjj/96U9wOKaeAIcOHUJVVRU5MTnw0bywlsOmqSZ/xjCGDTrZroH16qkus8FumVwMPZ7dYOme+fPnw+l0AtCe3dDT4ih9j7l4XITJpN1Fi9dg/ZMadFLU4eVsSxzFXLRFixZhzZo12LBhAx566CFEIhFs3LgR1113nVQJcfbsWVx++eV49NFHsWrVKvh8PlxxxRUYHR3F7373uwxBcF1dHcxmM/785z/D6/Xi4osvhsPhwM6dO3H33Xfju9/9rlJfhUtKbGZUOCwYCUbR4wtq2sFJ7UNlFGOojwiOVwFtFNmN/Kktt0MQgGhcxMBoGLUa3huMzWk3Jw/SqdCLAJy37tKKxqAee+wxbNy4EZdffjlMJhM+//nP48EHH5R+H4lEcOTIEYyOjgIADh48KFVKzJ07N+NcHR0daGlpgdVqxbZt2/Dtb38boihi7ty5uP/++7FhwwYlvwqXNDgdGAn64fWFMLe+Qu3hTIiRqqgA/TRhVEobRXYjP6xmE2rK7Ojzh9DjC2nawWHRP7fLGHNacnA0LgDnbVNjRR2c6urqCZtzAUBLS0tGmeZll102ZdnmmjVrMhp1EfnT4LTjWI9f0w9SURQViRRoGUkArvXVnkJCUbIb+dPgTDg43pEgFsOp9nDGJaOLsVHSzszBGdaurQX4K+igvagMjB52uR0JRTEWMUYXY4ZeKtw8nBlDHmCLAC0LjZnjbreY4CzRv5A1G/Syx5yXs81zycExMHooR2aG2mmALsYMZlzSSza1iBRZIwdHM+hB6+FNSzlruXpTTtKvi5abS6a2aeBjTpODY2DcOtB68JYTzoYyuwUVyRJNba/EkzoKA10braOHRYvXgPcN09WFo3EpPadFpLQzRXAIvaOHah0vZ6r+bEkJjTW8EjdYdZseSC8V1yqeYePNabvFjKrSRKWqVtNUoiimdTHmw/kkB8fANLi0H872DCcnnEH0N4yUDkebxjAWF9Hr58sY8oC0c7WGFy28PUSzRevpQ38oitFwUu/IifNJDo6BSX+IxuPazAtLqn6DlJMy0jtNa5H+QAixuAiTANSU2dQeDpGkQReRP+OlqADtV1Kxe6bCbkGpjQ/xNzk4BoY9RCMxEYOjYZVHMz6GN4YafVAxbVRtuR0WM5kRrcDum15/wgHVIikhKx9RgmzRejfjHg6vC1kmA2M1m1Bbnlh9ezQ66Yxaiqx1sSjTURjtumid2nI7zCYBsbiIfr82nWPetgPIFq03+2O2lqfmi+TgGBytN5XzSg9SflYV2aD11Z7XYN2l9YLZJKAu2cFYi4uWRONOY0dlma5Qa/C4mCQHx+BIk06DxjAeT6n6eVpVZIPWU1RUQaVd2DXxaFDrwaOQNVu0Xjjg5TAqSw6OwdFyqXh/IIxoUshap+F9dZTAneZ4arExWA+Hqz1e0PKcloSsDn6ErNmi9aish8PIGjk4BkfLk46NyYhCVq03BkvtWWMsx1MPsGinFqOyvO11lAuSAHxEmwJwD4faKGM9NYhzcGs4FWJkIavdYpbKr7X5oKJtGrSKlrUeRtXfAImFmkkA4iLQp0EBOEtR8SQHIAfH4Gg5nM2j6C0XUg8q7V0bpiMwWgNGPeDW8JxOOcbGi/yZTQLqNNrfKr1xJ0/OJzk4BqdeBykqt8t4xhDQbqohFI2hz5/om8TTao8XtHrfAMZOUQHaLR7o86cad7LWITxADo7BYd56nz+MSCyu8mgyMXI4G9BuBIe1FLBZTNL+OoR20HLHXJrT2nQ+mY2pq+BL78jPNyHyoqrUBqtZAKC9Dfp4FL3lglZTDenVFoIgqDwa4qOwCM5IKIpAKKryaDLxGFycLhV1aMz55LGCCiAHx/CYTIK0QZ/WHqQ89mXIBZaa0+pqj9JT2qTcbkG5PVGCrbV7JyVkLVF5JOrQmPzemrsunKYOycEhtL+qMOiDVKspKsnB4cwY8oQW53QsLsI7wp+QNRfcWp/TnNlacnAITa4qgpEYhscS/V94W1VkC7suWoussfukkTNjyBNaFBozIWt6NZHRYNele3hM5ZFkwmvFKjk4RMoYamhVwR7qJVYznA5jdTxlsNXe4GgEwUhM5dGkMHJ/Ir2gRTEru2/qKxIbghoRZmu1VkXFq/ibHBxCWol3a8jB8aRtsmlUIauzxAKHNTFFtRTFoQiO9nFrsJKqm9M0SC6w6+IPRTES1E6HckpREdyixQgOryHTXBAEQZM5e8n55MwY8oQWU1SeZFqGtyhBLpTZLVJEWktz2stpxSo5OEQqguPTTl7Ya3CBMUNrqYZ4XJSuDUVwtEvqvtFOKqSb5jSAlLZOKxFzfygKf7KdAG/XhhwcQirZ9A6HENfIJnAUzk6Qytlrwxj2BUKG3eFdT2gxRcXGYnTHuEFj0TUWSUpvL8AL5OAQqK+wQxCAcCyOgdGw2sMBkJp0jZyFTHMllaLSxkqc146nvMEc416/dnau7jZ4DxxGo8bSzl6Omy+ShSJgNZuk1bhWJl0Xc3AqjW0MU1oKbaQPqQeOPqgtT1QqxeIiejXSoZzXbrm54tZYUQevAmOAHBwiidYqqZgg0ejhbK2JjI3efFEvmE0CGpK9ZrTQc0UURcm2GH1ON0pFHepfFyB1fzRyGFkjB4cAkF5Jpf6ki8Ti0r5YPE66XGjQWIWblDo0+HXRAyz6qYVFy9BoBOFoYjPfeg5TIbmQispqI7LGouVNHDqe5OAQAFKRAi0Yw56REEQRsJoF1JTZ1B6OqjQxAfiINrQU1ORPP7AHadeQ+osWZldqy22wW8wqj0ZdtLSYBNJTVPwtWsjBIQCkbm4tRAq6kwbZ7XLAZNCOp4y6CjssGtJSUJM//dCkoegf05CRYww0OhO2VisdypkD3FjJ37VR1MEZGBjA2rVr4XQ6UVlZiRtuuAF+v3/S91x22WUQBCHj9bWvfS3jmNOnT+Oqq65CaWkp6uvr8b3vfQ/RaFTJr8I9WtLgSLl6J38rilwxmwTpodClgRVfMSI4ZDfkQUv9Vkh/k8JZYkGJNRHF0oLz2S2lqPizt4oWva9duxbd3d3YuXMnIpEI1q9fjxtvvBGPP/74pO/bsGED7rzzTunfpaWl0v/HYjFcddVVcLvdeP3119Hd3Y1169bBarXi7rvvVuy78I6WOp9KojcOVxT50Ohy4OzQGLqHgsAM9cYhimJRIjhkN+SBXSMtOMZejit1ckUQBDS6HDjRF4DHF0RLbZlqYxkNR6VNjXm0t4pFcA4fPowdO3bg17/+NVpbW3HJJZfg5z//OZ588kl0dXVN+t7S0lK43W7p5XQ6pd+98MILeP/99/G73/0Oy5cvx5VXXom77roL27ZtQzisjR4ueiQVwRmDKKqr9aAmf5loZQdi31gUo+FESF2pa0N2Qz6YyFhLUQISpydo0Eh1JLsuZTYzKjhr8gco6ODs2bMHlZWVWLlypfSztrY2mEwm7N27d9L3PvbYY6itrcX555+PzZs3Y3R0NOO8S5YsQUNDg/Sz9vZ2+Hw+vPfee+OeLxQKwefzZbyITNiEC0bikkevFt1D1OQvnabkg6prSF1jyCIB1WU2OKzKCEW1ZDf0DtPgeH1BRGNxVcdCe8tlohVJgGRrK0u43NRYMZfN4/Ggvr4+88MsFlRXV8Pj8Uz4vr//+7/HzJkz0dTUhLfffhu33norjhw5gj/+8Y/SedONFADp3xOdd+vWrbjjjjsK+Trc47CaUV1mw0AgjO7hICpL1ateYnvWGL3JH6NRIxEcJkZsUjCUrSW7ASQWR6FQStytp8VRTXlCoB6Ni+gZCUmOshp0U4PIDLQSle3mvN9YzhGc73//++eI+T76+uCDD/Ie0I033oj29nYsWbIEa9euxaOPPoqnn34ax48fz/ucmzdvxvDwsPTq7OzM+1w8o5WmcqyKitdJlyssrN+l8nWRqi3ySDOMZzdcLhcAwOVyadJuAInFkcvlkl7Nzc0Fna+YpAvU1XyQiqIo3TvTqmjRAmgnKsuzwBjII4Lzne98B9dff/2kx8yePRtutxs9PT0ZP49GoxgYGIDb7c7681pbWwEAx44dw5w5c+B2u7Fv376MY7xeLwBMeF673Q673djNpbKh0eXA+90+VUWJkVgcvX5q8pcOi5h0q9zPhDlY0/KIBIxnN/x+Py666CLs378f5eXlmrMbQGJxtGnTJunfPp9PV05OU2VSoK6iczw8FpG0W7RoSSDNaY1EcHjVO+bs4NTV1aGurm7K41avXo2hoSEcOHAAK1asAAC8+OKLiMfjkvHJhkOHDgEAGhsbpfP++Mc/Rk9PjxTK3rlzJ5xOJxYvXpzjtyHSaZQepOoZQ68vSE3+PgJz9Hr9IYSjcdgs6rSv6iogsjae3WDpnvnz50uCYK3ZDb0vjhL3zqCqc5pFKWoU1G7pjVQER20HJxnB4bCCClBQZLxo0SKsWbMGGzZswL59+/Daa69h48aNuO6669DU1AQAOHv2LBYuXCitrI4fP4677roLBw4cwMmTJ/GnP/0J69atwyc+8QksXboUAHDFFVdg8eLF+Id/+Ae89dZbeP755/GDH/wAN998s64NkRaYVpkoq1Vz0qVv/Gb0Jn+MmjIbbGYTRDG1868asIekkloOshvyooVS8ZR2iyKyDPa3GByNYDSsXi8mSWTMabRc0aXgY489hoULF+Lyyy/HZz7zGVxyySX45S9/Kf0+EongyJEjUrWDzWbDf//3f+OKK67AwoUL8Z3vfAef//zn8ec//1l6j9lsxrPPPguz2YzVq1fjy1/+MtatW5fR/4LID+bFn1XRwaEmf+diMgma2IH4bBFExgDZDTmRBOpqRnCGi3Pf6AmnwyqVZaupw+H92iha+F5dXT1pc66WlpaMnivNzc14+eWXpzzvzJkz8dxzz8kyRiIF01aoudqjJn/j0+hy4PTAqGo5+1g81eRP6ZU42Q35kDbcVDHyd5YiOOPSVFmCI94RdA2NYW59edE/3x+KYiSYiB7xuA8VQHtREWkwA9Q9FFRtY0e2muFV9JYvaldd9CY3+zSbBNRX0LXRC6kIjpopqvzF6TzDoiZqSQLYZp8VDgvKOWzyB5CDQ6TR4HTAnOybodbGjmy1N52MYQZq98Jh18WdvEcIffBRgboakAZnfKRFi0ppZ+Z48loiDpCDQ6RhNglSLxy1dDhnB6lfxng0qhzB6eY8V88rWhCok4MzPmpXUhlBDkAODpHBNJUnHXOsWEUXkaBJ5QhOIU3+CPUwmQTpAabGoiUSi0uOFTnHmaidomKLSZ4dT3JwiAzUnHT+UGpnWzKGmUjdjFUyhl1FKBEnlGF6MhrKHmjFxOsLIi4CNrMJtWX8luPnQ5PKc/oMkwNwHC0nB4fIgKWG1FjtMQPsdFhQ4bAW/fO1DLsuavXNKMY+VIQysKisGnNaavtQSX2tPkq6BieuQlGHJAfgeNFCDg6RgZp54dR+NZSe+iiuEisqHIlKBzVW4lK/DEpR6Q6W7lXlvhmi+2Yi3C4HBAEIR+PoD4SL/vlnBimCQxiMJmm1V3xB4pkh/lcUhcD+LmfUWIkPpVbihL5g0b8zQ6NF/2wWNaL75lysZhMaKtTR1kVjcamvFc96R3JwiAzUFBmfNcCKohCmJyNbZ4q8Eg9GYtIKk5xP/SGlqFSM4NB9Mz6NKmkevcm+VlazgPoKfrVR5OAQGbAIzvBYBP5QcbUeZ8kYTopaYlF2XUptZrhKSBulN9h90zVUfK0HidMnR62IeXoFFc/aKHJwiAzK7RbpIVbsVcXZwUQInXrgjA97UJ0ZLG6qgUWMmqtKIQj8GkNecbscMAlAOBZHn7+4DTypB87kqBUxZzaE98UkOTjEOTSpVHVBe9ZMTsrBKe516RwYzfh8Ql9YzSapgWcx9VuiKKZV6pAGZzxYf6uiR2UNUEEFkINDjMM0FfLC4WgcPcntIXifdPkiVcMUfbWXjOBU8ytG5J1pKjjHw2MRjCTT3NOpMnJc2JzqLHJUVpIDcL5oIQeHOAepWqeIxtAzHIQoAnaLCbXltqJ9rp5gEZTekRCCkVjRPpcZX4rg6BfmYBQzUtA5kPisugo7HFZz0T5XT0gOzoA6Dg7vjic5OMQ5qDHpWAnrtMoS0nlMQGWpFaW2xIOimNG1VL8Mvo0hz6Sa/RVvTpNjPDXsuviCqS7uxeAMpagIo8IeZJ1FXO3RJptTIwiCKjqcs/Sg0j3TVKjAYwukZnKMJ6TMbkFNWSJiXawFZTwupkVw+J7T5OAQ59BcnXyIFjGCQyXi2VHsXjij4Sj6/IkeOKTB0S9qbNeQ0m7RnJ6M6dVsThfH3vYFQghH4zAJiQo7niEHhzgH9iDrD4QRKFIvHKOo+gul2KkGdl0qHBbqgaNj0kXGolicXjgsRUURnMlpTl4bpllSGuZ4NjgdsJr5dgH4/nZEXjgdVlSWJh5mxVL3n05Gi2bUkDGcjGKnqOghxQfMMR4NxzA0Whyth5SiosjfpBS7kspIHePJwSHGhT3QirWqOE3GMCuKXQ1jhA35jIDDakZteaIlfzGcY1EUMxpEEhOTsrVFcnAMJAcgB4cYlxlJR+N0ESZdMBKTNn6bSQ7OpBS7nwmtwvlhRlILU4w53TsSQiip86CNNidH0jwWaU6f6k9Gyw0wp8nBIcZlejXLCytvDBO6AKDMZkZ1GfXAmQwWSfGOBBGKKt8LhyI4/DCzpgwAcGogoPhnsXRLo6uEe51HoTSnFQ4UQx91Onn9ZyTvB56hO48Yl9SkU97BSY8SUA+cyakps6HMZoYoFid9SGkGfpCisv3FmNPkGGdLY6UDggCMRWJSxaKSsAjOTAPoHcnBIcaluYgpKvYZRphwhSIIgrTyOl3Elfh0KvXVPWx+nSqCg8MWRpTanBq7xSztFaa00DgcjUtNQo0gByAHhxiXGdUpkbHSYVMj5YTloCX5oDrZp6wxHAlGpIob6mKsf5iDU4xFC4vgUOQvO4olND47NIa4CJRYzairsCv6WVqAHBxiXJrSwqb9AWXDpqkScf5zwnIwo0gPKvaQqiq1otxuUfSzCOWZUZ2YX13DY4rrt6T2AhT5y4rpRRIan+pP6m8MIgcgB4cYl/SwqfIPUorg5MLM5IPqZL+yKSpmDGeS48kFteU2lCb1W0o/SDspRZUTxYrgdBqs3xg5OMSEFGPTTVEUUxEcMoZZwVJUSotFO5IOzqxacnB4QBCEogiNI7E4uoYSbR8oRZUdxWrLYTQ5ADk4xIQ0F2Hfo15/CGORGEyCMRpPyQFbfXUOjiIWV04fdbIv4eC0UASHG9iD7ZSC0b8zg2OIxUWUWM1ocPKv85CDllqmq1M4Kmuwgg5ycIgJYcZQyUnHVpKNrhLYLHQ7ZkOjqwQ2swmRmChVRCgBEzEz40voH6mSSsFIQUefX/osI+g85IAtIrqGgwhGlNNHnaYIDkEkmFWnvNaD0lO5YzYJkihRyZJfdt0pgsMPUosBBe+bjqRjPLuO7ptsqS6zwelICPmVsrfpcgCj6OoUdXAGBgawdu1aOJ1OVFZW4oYbboDf75/w+JMnT0IQhHFfv//976Xjxvv9k08+qeRXMSSzk9qLDiUjOAYLmcpFi8JdaQOhKHpGQhmfVSzIbigH632iZASHUpu5IwiCpHVTKmLeO2I8OYCitZ9r165Fd3c3du7ciUgkgvXr1+PGG2/E448/Pu7xzc3N6O7uzvjZL3/5S9x777248sorM37+m9/8BmvWrJH+XVlZKfv4jU5LcsL1+cMYHovAVWKV/TPYSpKqLXIjpaVQ5kHFVpFVpVa4SuW/7pNBdkM52EKic2AU8bgIk0n+FBJbELWQOD0nWmrL8NaZYSkCJjfMqW2qNI4cQDEH5/Dhw9ixYwf279+PlStXAgB+/vOf4zOf+Qzuu+8+NDU1nfMes9kMt9ud8bOnn34aX/ziF1FeXp7x88rKynOOJeSl3G5BfYUdPSMhnOwLYFlzpeyfcYJWe3nRUqOsWJQ5TsV+SJHdUJamyhKYTQJC0Th6RkJwu+TfCJM5OLPJwcmJWVLEfOJoZSGcNtAWDQzF3Lg9e/agsrJSMlIA0NbWBpPJhL1792Z1jgMHDuDQoUO44YYbzvndzTffjNraWqxatQrbt2+ftNtuKBSCz+fLeBHZMUvBNJUoijjRm5jMc+rJGOaCtHGiQhEcdr1nFdnx1JLd4BGr2SSlJ5TQegQjMXQNJ4TvFMHJjVSKStkIDmv4aAQUi+B4PB7U19dnfpjFgurqang8nqzO8fDDD2PRokX42Mc+lvHzO++8E5/+9KdRWlqKF154AV//+tfh9/vxzW9+c9zzbN26FXfccUd+X8TgzK4rw96OASnSIid9/jB8wSgEgSI4uZK+r5AoirJXqzAdQLHFiFqyG0BicRQKhaR/87A4mlVbhtMDozjRG8DFs2tkPffpgVGIIlBht6CmzCbruXmH2cAOhaKyx5OLSSNF1nKO4Hz/+9+fUNDHXh988EHBAxsbG8Pjjz8+7irstttuw8c//nFccMEFuPXWW3HLLbfg3nvvnfBcmzdvxvDwsPTq7OwseHxGQckIDoveTK8qgcNqlv38PDO9qhSm5FYaXl9o6jfkSCpFJU84ezy74XK5AAAul0uTdgNILI5cLpf0am5uLniMajOnLpG2Yw88OUnX31CJeG6wiFfvSAj+UFT28x/vMV60PGcH5zvf+Q4OHz486Wv27Nlwu93o6enJeG80GsXAwEBWOfB///d/x+joKNatWzflsa2trThz5kzGSisdu90Op9OZ8SKyY1ZtwhgqkRc+3pswhszgEtljs5gkobEiDyqZuxiPZzf2798PANi/f78m7QbA5+Jobr1yDg6L/FH369xxlVilqJfclVSxuCg5n3PrKmQ9t5bJOUVVV1eHurq6KY9bvXo1hoaGcODAAaxYsQIA8OKLLyIej6O1tXXK9z/88MP43Oc+l9VnHTp0CFVVVbDbqWum3EgRnN6A7KmQE1LIlBycfJhbX46T/aM41uPHx+fWynZefyiK3mSJuFwpqvHsBkv3zJ8/X1p0aM1u2O127uzKnGR/GqUjOETutNSWoT8QRkdfAOdPc8l23q6hMYSicdgsJkyrMkaJOKCgyHjRokVYs2YNNmzYgH379uG1117Dxo0bcd1110mVEGfPnsXChQuxb9++jPceO3YMr7zyCr761a+ec94///nP+PWvf413330Xx44dwy9+8Qvcfffd+MY3vqHUVzE0M6oTqZBAOCY99ORCyglTQ7C8mFufWIkd65H3QcVWj9VlNkVaA0wG2Q3lmZOM4JwZHJO9a64kTqfu13nBdDhyR3CYjZhdWwazAq0BtIqifXAee+wxbNy4EZdffjlMJhM+//nP48EHH5R+H4lEcOTIEYyOZqrGt2/fjunTp+OKK64455xWqxXbtm3Dt7/9bYiiiLlz5+L+++/Hhg0blPwqhsVmMaG5uhSn+kdxoi+Aeqd8ZaVMuEwpqvxgqQa5HRy1xYhkN5SlJum4Do9FcKI3gMVN8qXsUw4Ozel8YIs9uTWPbE4bzdYq6uBUV1dP2JwLAFpaWsYt07z77rtx9913j/ueNWvWZDTqIpRnVm0ZTvWPoqNPvqqLUDQm7VI+hyI4eSE5ODKnGj70jgAA5jWok6snu6EsgiBgbn05DpwaxPFev2wOjj+t+3Wx2wvwAovgyF21Kjk49cZycIzRzpAoCCUqqU71jyKeLCetq+BL41AsmGPYOxLC8FhEtvN+6E0Yw/kNxjKGRkIJHc7RpGNcV2EvevdrXpiXnHNHvSOy9mg63sOi5cZyPMnBIaaEhTWZAZODE2n6GyonzY8KhxXuZMpQzjQVO9d8lSI4hPKkSsXlW7SwyN8Cum/ypqWmDFazgEA4hrNDY7Kd16gpKnJwiClZ4E4YrCMe+RwcKhGXB6nkVyYHJxiJSds/zKMIDreweSenY5yK/JGDky82i0mqKv1QpgXlYCCM/kAYgPEKOsjBIaaEGayu4aBsqRCqoJIHuXU4x3v9iItAZakVdeWUOuQVpsU40etHPC5PKkSK4LjJMS6E+ckFJXMYC4XZ2mmVJSi1KSq71Rzk4BBT4iqxojG5KZ9cq4qjXmOGTOVmjsyVVOy6zK+voNQhxzRXlcBmNiEUjcuWCmERXrXE6bywIBk5/VCmiLlRBcYAOThElrA01QcyTLpoLI4jSUdpUSN1lS6EuTKnGpgDO5fSU1xjMZukbTjkiP4NBsJSBdU8Az5I5YRFzI/ItJhktsFoAmOAHBwiS5iDI8eqoqMvgHA0jjKbWdpugMgPlqLqHByVpWmbpKOghxT3sEjLB92Fz2nmGE+rLEGFgyqoCoHZ2qM9fsRkSB+yRakRtVHk4BBZsVBGofH73YkW/QvcFTAZqKumEtSW21BZaoUoyhPFOdZjXGNoNM5L9r9h87EQPkzee+zhTORPc1UpHFYTwtG4JPjPF1EU8X5X4vqeJ2NDR71ADg6RFQsaEpPjA4+v4P4Mh7spPSUXgiBIhuu9ruGCzhWMxHAq2XyRdBT8s7hRnvsGSEV2yTEuHJNJwLx6JjQubEHp9YXQHwjDbBIMeW3IwSGyYk59Yg8TXzAKjy9Y0LkOJ1eM5ODIw3lNiU353j1b2Er8WI8foghUlVpRW26TY2iEhmEdjDv6AhgNRws61xGqoJIVSYfjKSwq+353wnmdU1cGh9Vc8Lj0Bjk4RFbYLWapo3GhQmNycOSFRXDeLXAlzq7L/AaqoDIC9RUO1FXYIYqFzWlRFFPbe9QbL0qgBMxRLDSCk0pPybczuZ4gB4fIGjka/vX5Q+gZCUEQUroeojDOn5YwXoe7fQWJEt8+k3CQlk43pjE0Iqk0Vf7Rv56REIZGIzAJKdE7URgsgnPYU1hUll3XxQZdTJKDQ2TNQqnqIv9Jx6IELTVlKLMbq+mUUsyqKUOpzYxgJC5tgZEPb58ZAgAsnV4pz8AIzSMJjQtwcN7qHAKQiN4YMQ2iBCzi0tEXgC+Yf3NVJiA3osAYIAeHyIHzpiUmydtn80+FpNJTFL2RC5NJkFZo+aapwtG4JP6mCI5xWCw5OPnP6beSjvGyZrpv5KKuwo5plSUQReDdM/ldG18wglP9iaIBo8oByMEhsmZ5cxUA4ERvAEOj4bzOIVVQuY054ZSCpanyFRof8YwgHIujstRKvYkMBHOMP/CMIBqL53WOtzoTD2BmHwh5WD6jEgBwKOlA5grrb9TkcqCqzJhFA+TgEFlTXWZDS03i4XcoGZbOFVaSatQVhVIUWirOVuFLprlIYGwgWpLpzVA0jo6+3HuuxOOilKKiCI68LE+mig+dHsrr/Swqt9igAmOAHBwiRy6YkVil/TWPSTc8GpE65V6QXJ0Q8sBy9u+d9eW1eeI7JDA2JCaTIC028klvnugLYCQUhcNqwgID9llRkmXNlQBSi49ckQTGBtXfAOTgEDnCHJO/5hHBOXB6AEBiB/Ea2qlaVuY1lMNmNmEkFMXpZLO+XHiLBMaGZVnymh84NZjze1n0Zsk0FyxmepzIyfnTnDCbBHh9IXiGc+89xq7nMgMvWuiOJHLigmSe/dDpwZwjBftPJibcypmUq5cbq9kkicDfzPFBNRaO4Wiy1f4ycnAMx6pZ1QCAfR0DOb9XEhjTfSM7pTaLVC6eqySgxxfEib4ABAFY2VKtwOj0ATk4RE4sbKyA3WKCLxjFiRxz9m+eTBhQI084Jbl4dg0A4I0T/Tm9772uYcTiIuoq7GhwUmTNaFzUklhwfOj1YyCQW/HAIUl/UynzqAgAWJ7UNeXq4OxL2tpFbidcJcbd/JQcHCInrGaTpNP46+nsIwXBSEyqtriIHBxFYA7OnuO5OThvSqHsShIYG5CacjvmJRv07T+ZfRQnGIlJbR+Wk4OjCCwy9lauDk4yGseic0aFHBwiZy5kQuMcJt27Z4cRjsVRW56qxCLkZeXMKlhMAs4OjaEzBx3OX472AgAumVuj1NAIjZNPmurtM8OIxETUlNkwvapEqaEZGlYq/taZIYSisazfx65jKzk4BJEbTGi8N4dUSEp/U01RAoUos1uk6Fq2aaqxcAz7OxLX5tL5dYqNjdA2rcnoXy4Ozssf9gAAPj63lua0Qsyvr0BtuR2j4RgOnMwuYj40Gpb2FruIHByCyI3Vc2phMQk43hvAqf7sdDgp/Q0JjJVESlNl6eDsOzmAcCyOJpcDs5ObqRLGY1Uybfxe1zBGstwaYPeRROTvsgXkGCuFySTgk8mFx+4Pe7N6D1tMzqkrQ63Bq1XJwSFyxlVilXQ0L37QM+XxoWhMWhmS/kZZVs9JODh7TwxAFKeucvtL0mheOq+OVuEGxu1yYGZNKeJiduXiPSNBqc/KJyjypyifTDqQLx/JzsHZ15FY3KyaRSlncnCIvLh8UT2A7Byc14/1YyQURX2FHUumGbcnQzFYMbMKVjPT4YxNefyrx/oAAJfOr1V6aITGYXqN3Vk8SNnDdul0l+GjBErziXm1MAnAEe8IuoamntMvJxctRtffAOTgEHny6YUJB+eNE/3wh6KTHvvcO90AgCvPd8NkoiiBkpTaLFK36Rfe90x6bI8viA88IxAE4ONzyMExOu3nuQEk5mtsih5X7CH6SYreKE5lqU2qUnt5ijTVEc8IPvT6YTUL+FTSRhsZcnCIvJhdV45ZtWWIxES8enTiSReJxfHC+14AwJrzG4s1PEPz2WVNAIA/Hjw76XEsp79kmsuwm/ERKS6dVwenw4KekdCkYuNoLI6/HE1E/kh/Uxw+OT/hrEyVpvrzW13S8Ubuf8MgB4fIGxbF2XV44jTVGyf6MTwWQU2ZzfA9GYrF3y5phNUs4P1uHz7wTLy7+L/t7wQA/M2ihmINjdAwNosJVyYXIX9+u2vC4/adHMDwWASuEivtIF4kmCP56rE+BCaImIuiKF23zy6jxSRADg5RAEyHs+NdD3wTVF48904iTdJ+vhtmSk8Vhaoym+R8Pj1BFOdwtw9vnhqExSTg2ouaizk8QsN8bnki+vdf73QjEouPe8xvXzsJAPjMkkaa00ViyTQXZtWWwR+K4g8Hz4x7zNtnhnGqfxQlVjP+ZjEtWgBycIgCuHhWDebWl2MkFMXv3jh1zu9HghH817sp/Q1RPP7HBdMBAM8cOjuunoJdr/bz3Kh3Ooo6NkK7XDy7BrXldgyORvBqMg2Vzun+Uew8nEg5/6+PtxR5dMbFZBKwPvn3/s1rJ8fdB5Clpy5fVI9Sm6WYw9Msijk4P/7xj/Gxj30MpaWlqKyszOo9oihiy5YtaGxsRElJCdra2nD06NGMYwYGBrB27Vo4nU5UVlbihhtugN/vV+AbEFNhMgm46ZNzAADbX+1AMJLZafMXu49jaDSC2bVlWD2bShaLyacW1sFVYoXXF8LOpAaKMRKM4Om/JiI7X754phrDmxSyHephNgn426WJ9Ma2l46d8yD9zesdEMVEafi85EaQRHH4/IXT4XRY0NEXOKd6tccXxFPJlDPT4BEKOjjhcBhf+MIXcNNNN2X9nnvuuQcPPvggHnroIezduxdlZWVob29HMJjaKn7t2rV47733sHPnTjz77LN45ZVXcOONNyrxFYgs+NzyJkyrLEGfP4zfv9kp/fzs0BgefrUDAPD9KxfCYqZgYTGxW8z4+9YZAIAt//EuhkZTmyj++i8dGA3HMLe+HBfP1p4uimyHutz4idkotZnx5qlB/P5Aak4Pj0Uk3dYNl8xSa3iGpcxuwZdWJeb0r/5yIqPP1Y/+8zBGQlEsne5CG2nqUogK85vf/EZ0uVxTHhePx0W32y3ee++90s+GhoZEu90uPvHEE6IoiuL7778vAhD3798vHfNf//VfoiAI4tmzZ7Me0/DwsAhAHB4ezv6LEBPyyOsd4sxbnxWX/vB58fVjfWIgFBFvfHS/OPPWZ8UvPvS6GI/H1R6iIRkLR8VP3feSOPPWZ8VvPH5QFEVRfOavZ8SZtz4rzrz1WfHf3+xUdXxTzUOyHerxy5ePizNvfVZcdsfzYu9IUPSNhcX/+a+viTNvfVZs+9lumtMqcXZwVJyz+T/Fmbc+K97xp/fEeDwuvvJhjzjz1mfFWd9/Vny7c0jtISpOLnNQM8vqjo4OeDwetLW1ST9zuVxobW3Fnj17AAB79uxBZWUlVq5cKR3T1tYGk8mEvXv3TnjuUCgEn8+X8SLk44srm7GsuRLDYxH8w8N78fGfvIjn30ukRX5w1WLqkKsSDqsZ939xOcwmAX96qwsrf/Tf+O7v3wIAfPWSWfj8iukqj1AelLQdRuX6j7dgobsCQ6MRXPrTl3Dlv/wFB04Nwumw4P4vLqc5rRJNlSW48+rzAQDbX+tA2/0vY932fQCAdatbsGQ6NVJNRzMOjseTqLZpaMgMrzU0NEi/83g8qK/PbF5ksVhQXV0tHTMeW7duhcvlkl7NzVQ1IicOqxlP3Xgxrl7ehGhcxOBoBDOqS/Gvay+kCacyy5srsfnKhTCbBPT5Q4jERFx5vhv/9JlFag9NNpS0HUZdHFnNJtz/xeWYWVOKsUgMZwbHUFVqxeMbLqY5rTJ/3zoDP/38EggCcLw3AFEELp1Xi01XzFd7aJojJ6n197//ffz0pz+d9JjDhw9j4cKFBQ1KbjZv3oxNmzZJ//b5fOTkyIzDasYD1y7HpxfWwyQIuPJ8N+luNMJXL52N61bNwPEeP/r8IXxifl3RO0pPZjtcrsQDU4u2Y+vWrbjjjjvUHoYqLG5yYvd3L8O7Z314/Xgf/mZxA2bXlas9LALAtRfNQKOrBCf7A7h8UQOmVZaoPSRNkpOD853vfAfXX3/9pMfMnj07r4G43YkyYq/Xi8bGVJMir9eL5cuXS8f09GSqx6PRKAYGBqT3j4fdbofdTvulKI0gCLh6+TS1h0GMQ7ndgmXJdu9qMJ7t8Pv9uOiii7B//36Ul5dr0nYYfXEkCAKWTHdR1EaDfGJ+HT4B6iQ9GTk5OHV1dairU+YPOmvWLLjdbuzatUsySj6fD3v37pWqKVavXo2hoSEcOHAAK1asAAC8+OKLiMfjaG1tVWRcBEEUzni2g6V75s+fD6fTmfe5lbQdtDgiCP2iWA7h9OnTOHToEE6fPo1YLIZDhw7h0KFDGX0nFi5ciKeffhpAYqXwrW99Cz/60Y/wpz/9Ce+88w7WrVuHpqYmXHPNNQCARYsWYc2aNdiwYQP27duH1157DRs3bsR1112Hpiaq/ScIHiDbQRCELChVyvWVr3xFBHDO66WXXpKOASD+5je/kf4dj8fF2267TWxoaBDtdrt4+eWXi0eOHMk4b39/v/ilL31JLC8vF51Op7h+/XpxZGQkp7EZpdSTILTMRPOQbAdBEBORyxwURDGtW5BB8Pl8cLlcGB4eLig0ThBE/uhxHupxzATBE7nMQSpzIQiCIAiCO8jBIQiCIAiCO8jBIQiCIAiCO8jBIQiCIAiCO8jBIQiCIAiCO8jBIQiCIAiCO8jBIQiCIAiCO8jBIQiCIAiCO8jBIQiCIAiCO3LabJMXWPNmttkfQRDFh80/PTVTJ9tBEOqSi90wpIMzMjICAGhublZ5JARBjIyMwOVyqT2MrCDbQRDaIBu7Yci9qOLxOLq6ulBRUQFBECY8zufzobm5GZ2dnbTvTAHQ37FwePwbiqKIkZERNDU1wWTSR7acbEfxoL+hPPD2d8zFbhgygmMymTB9+vSsj3c6nVzcGGpDf8fC4e1vqJfIDYNsR/Ghv6E88PR3zNZu6GPZRBAEQRAEkQPk4BAEQRAEwR3k4EyC3W7H7bffDrvdrvZQdA39HQuH/ob6gq5X4dDfUB6M/Hc0pMiYIAiCIAi+oQgOQRAEQRDcQQ4OQRAEQRDcQQ4OQRAEQRDcQQ4OQRAEQRDcQQ7OJGzbtg0tLS1wOBxobW3Fvn371B6SrvjhD38IQRAyXgsXLlR7WJrmlVdewWc/+1k0NTVBEAQ888wzGb8XRRFbtmxBY2MjSkpK0NbWhqNHj6ozWGJcyG4UBtmN/CDbcS7k4EzAU089hU2bNuH222/HwYMHsWzZMrS3t6Onp0ftoemK8847D93d3dLr1VdfVXtImiYQCGDZsmXYtm3buL+/55578OCDD+Khhx7C3r17UVZWhvb2dgSDwSKPlBgPshvyQHYjd8h2jINIjMuqVavEm2++Wfp3LBYTm5qaxK1bt6o4Kn1x++23i8uWLVN7GLoFgPj0009L/47H46Lb7Rbvvfde6WdDQ0Oi3W4Xn3jiCRVGSHwUshuFQ3ajcMh2JKAIzjiEw2EcOHAAbW1t0s9MJhPa2tqwZ88eFUemP44ePYqmpibMnj0ba9euxenTp9Uekm7p6OiAx+PJuC9dLhdaW1vpvtQAZDfkg+yGvBjVdpCDMw59fX2IxWJoaGjI+HlDQwM8Ho9Ko9Ifra2t+O1vf4sdO3bgF7/4BTo6OnDppZdiZGRE7aHpEnbv0X2pTchuyAPZDfkxqu0w5G7iRHG48sorpf9funQpWltbMXPmTPzbv/0bbrjhBhVHRhCEViG7QcgFRXDGoba2FmazGV6vN+PnXq8XbrdbpVHpn8rKSsyfPx/Hjh1Teyi6hN17dF9qE7IbykB2o3CMajvIwRkHm82GFStWYNeuXdLP4vE4du3ahdWrV6s4Mn3j9/tx/PhxNDY2qj0UXTJr1iy43e6M+9Ln82Hv3r10X2oAshvKQHajcIxqOyhFNQGbNm3CV77yFaxcuRKrVq3CAw88gEAggPXr16s9NN3w3e9+F5/97Gcxc+ZMdHV14fbbb4fZbMaXvvQltYemWfx+f8ZKtaOjA4cOHUJ1dTVmzJiBb33rW/jRj36EefPmYdasWbjtttvQ1NSEa665Rr1BExJkNwqH7EZ+kO0YB7XLuLTMz3/+c3HGjBmizWYTV61aJb7xxhtqD0lXXHvttWJjY6Nos9nEadOmiddee6147NgxtYelaV566SURwDmvr3zlK6IoJso9b7vtNrGhoUG02+3i5ZdfLh45ckTdQRMZkN0oDLIb+UG241wEURRFtZwrgiAIgiAIJSANDkEQBEEQ3EEODkEQBEEQ3EEODkEQBEEQ3EEODkEQBEEQ3EEODkEQBEEQ3EEODkEQBEEQ3EEODkEQBEEQ3EEODkEQBEEQ3EEODkEQBEEQ3EEODkEQBEEQ3EEODkEQBEEQ3EEODkEQBEEQ3PH/A+M7AoZ0yTv2AAAAAElFTkSuQmCC\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"### Save plot to the file"
],
"metadata": {
"id": "EuK-8fOXFBNw"
}
},
{
"cell_type": "code",
"source": [
"fig = plt.figure()\n",
"plt.plot(x, np.sin(x), '-')\n",
"plt.plot(x, np.cos(x), '--');"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "xA80NiYnFIyp",
"outputId": "876d8103-48c8-457c-d3f3-7402fe9da901"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"fig.savefig('figure_1.png')"
],
"metadata": {
"id": "Xq8cet_dFQZe"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"!ls"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "ghuwvRrHP-Xn",
"outputId": "39be088c-0da1-45eb-a6a6-53ebafc528a5"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
"drive figure_1.png sample_data train.csv\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"from IPython.display import Image\n",
"Image('figure_1.png')"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 497
},
"id": "pjruo6_AIDhv",
"outputId": "7a6c36e1-4a5b-43b0-a481-41e3b686a79d"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"execution_count": 32
}
]
},
{
"cell_type": "code",
"source": [
"plt.plot(x, np.sin(x), '-')\n",
"plt.plot(x, np.cos(x), '--')\n",
"#dpi - the resolution in dots per inch\n",
"plt.savefig('figure_2.png', dpi=100)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "_gSDEtOAIYh1",
"outputId": "905f7eb1-a144-49ef-dd12-35b39298131c"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"Image('figure_2.png')"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 497
},
"id": "h75MbbjWIj22",
"outputId": "29dbe558-4c4d-45d8-d986-2c2c97a5080d"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"image/png": 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\n",
"text/plain": [
"<IPython.core.display.Image object>"
]
},
"metadata": {},
"execution_count": 34
}
]
},
{
"cell_type": "code",
"source": [
"# available formats\n",
"fig.canvas.get_supported_filetypes()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "lufvte6ZI30j",
"outputId": "cbcc0b40-366e-453a-c4fe-a07e6f23e583"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"{'eps': 'Encapsulated Postscript',\n",
" 'jpg': 'Joint Photographic Experts Group',\n",
" 'jpeg': 'Joint Photographic Experts Group',\n",
" 'pdf': 'Portable Document Format',\n",
" 'pgf': 'PGF code for LaTeX',\n",
" 'png': 'Portable Network Graphics',\n",
" 'ps': 'Postscript',\n",
" 'raw': 'Raw RGBA bitmap',\n",
" 'rgba': 'Raw RGBA bitmap',\n",
" 'svg': 'Scalable Vector Graphics',\n",
" 'svgz': 'Scalable Vector Graphics',\n",
" 'tif': 'Tagged Image File Format',\n",
" 'tiff': 'Tagged Image File Format',\n",
" 'webp': 'WebP Image Format'}"
]
},
"metadata": {},
"execution_count": 35
}
]
},
{
"cell_type": "markdown",
"source": [
"### Scatterplot"
],
"metadata": {
"id": "igTBRv57KEFu"
}
},
{
"cell_type": "markdown",
"source": [
"a graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present."
],
"metadata": {
"id": "dp0oBCLmdsYj"
}
},
{
"cell_type": "code",
"source": [
"# using plt.plot\n",
"plt.plot(x, np.sin(x), 'o', color='blue');"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "ft_tvhrDKSax",
"outputId": "3bbe22d4-27fa-48e1-82ef-45381fe641fc"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"There are lots of markers and additional settings!"
],
"metadata": {
"id": "CmgF4tanLTgG"
}
},
{
"cell_type": "code",
"source": [
"plt.figure(figsize=(8,5))\n",
"rng = np.random.RandomState(0)\n",
"for marker in ['o', '.', ',', 'x', '+', 'v', '^', '<', '>', 's', 'd']:\n",
" plt.plot(rng.rand(5)*2, rng.rand(5)*2, marker,\n",
" label=f\"marker={marker}\", linewidth=4)\n",
"plt.legend(loc = 'upper right')\n",
"plt.xlim(0, 1.8);"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 446
},
"id": "pCSQeZrwKmTt",
"outputId": "f16cfd0c-bdae-46eb-b21e-9278c00f7d09"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x500 with 1 Axes>"
],
"image/png": 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VK7FixQrs2bNHp83s7GwUFRXhyJEjOHjwoN4+169fj2XLliErKwvTpk1DdXU1pk6dijFjxiA/Px8ZGRmorKzErFmz9Gq1s7NDTk4Otm7dCgDaANzRY8SIEcY7eSYgEgTB6v/11dTUQCqVQqlUwtnZ2dzlEBFRD5dxthyrPzuPcmWjdpmH1AGroh5CxEgPM1ZmuRobG1FSUgK5XA4HB4euNVJyvLVH9k7zDgLyyfdXYAfCwsKgVqtx4sQJAK09r1KpFDNnzsTOna29whUVFfDw8EBubi4mTJig10ZCQgIqKiqwb98+AK09sxkZGSgtLYWdnZ12PV9fXygUCpSXl2PXrl04cuSINmiuWbMGJ06cQGZmpnb9srIyeHt7o6ioCP7+/ggLC0NNTQ0KCgp09n/lyhU0NDR0eIy2trbw8fHp4hnS19HP2lh5jReAERERGSDjbDkWflCAO3uCKpSNWPhBAd59biwDrbG4DgNENj/3zAKASAy4DjXqbkeNGqX9XiwWY8CAAQgMDNQuk8lkAIBr164BAJKTk7Ft2zaUlpaioaEBzc3NCAoK0mkzMDBQJ8i22bBhA1QqFfLz8zF06M/Hdfr0aRw9ehSOjo562xQXF8Pf3x8AMG7cOL3Xvby8DDha68NhBkRERJ2k1ghY/dl5vSALQLts9WfnOeTAWKReQNSm1gALtH6N2ti63IhsbW11notEIp1lbdPAaTQapKWlISkpCfHx8cjKykJhYSHi4uL0Lsbq169fu/uaPHky1Gq13rCEuro6REVFobCwUOdx4cIFTJky5a7t9vRhBuyZJSIi6qS8kps6QwvuJAAoVzYir+QmJg4bYLrCepOxc4Fh04Cbl1p7ZI0cZA2Vk5OD0NBQLFq0SLusuLi409sHBwcjISEBERERkEgkSEpKAgCMHTsW+/fvh6+vLyQSw+JbamrqPYcZWDOGWSIiok66VttxkO3KetRFUi+LC7Ft/Pz8sHPnTmRmZkIul2PXrl04efIk5HJ5p9sIDQ3FoUOHEBkZCYlEAoVCgcWLFyMlJQUxMTFYunQpXF1dcfHiRaSlpSE1NRVisbjD9gwZZnDlyhVMmzYNO3fuRHBwcKe3MycOMyAiIuqkQU6du3Cps+tRz7NgwQLMnDkTs2fPRkhICG7cuKHTS9tZkyZNQnp6Ol5++WVs3rwZnp6eyMnJgVqtxowZMxAYGAiFQgEXFxfY2HRfnGtpaUFRURHq6+u7rU1j42wGREREnaTWCJj0+ueoUDa2O25WBMBd6oAvX5oKsQ1vp3u7bpnNgKyCqWczMDjKHz9+HFFRUfD09IRIJMKnn3561/Xnz58PkUik97h9sPFf/vIXvdcfeOABgw+GiIjImMQ2IqyKeghAa3C9XdvzVVEPMcgSmZDBYValUmH06NFITk7u1PqbNm1CeXm59vHjjz/C1dUVzzzzjM56I0aM0Fnvyy+/NLQ0IiIio4sY6YF3nxsLd6lu76K71IHTchGZgcEXgEVGRiIyMrLT60ulUkilUu3zTz/9FD/99BPi4uJ0C5FI4O7u3qk2m5qa0NTUpH1eU1PT6XoslvIKcLO4dQ49Cx3UTkRErSJGeuDxh9yRV3IT12obMcjJAcFyV/bIEpmByWczeO+99zB9+nS9O01cuHABnp6ecHBwwMSJE7Fu3ToMGTKk3TbWrVuH1atXm6Jc0yjY+fPt+UQ2rXPojZ1r7qqIiOguxDYiTr9FZAFMOpvB1atXcfjwYTz//PM6y0NCQrB9+3ZkZGTg3XffRUlJCSZPnoza2tp221m+fDmUSqX28eOPP5qifOMw032miYiIiHoCk/bM7tixAy4uLoiOjtZZfvuwhVGjRiEkJAQ+Pj7Ys2cP4uPj9dqxt7eHvb29scs1jZvFurflAwBB3ToZNIcbEBEREd2VyXpmBUHAtm3bEBsb2+69iG/n4uICf39/XLx40UTVmVHbfaZvZ4L7TBMRERH1BCYLs1988QUuXrzYbk/rnerq6lBcXAwPj15wRaiZ7jNNRERE1BMYPMygrq5Op8e0pKQEhYWFcHV1xZAhQ7B8+XJcuXIFO3fu1NnuvffeQ0hICEaOHKnXZlJSEqKiouDj44OrV69i1apVEIvFiImJ6cIhWSELv880ERERkaUyuGc2Pz8fY8aMwZgxYwAAS5YswZgxY7By5UoAQHl5OUpLS3W2USqV2L9/f4e9smVlZYiJiUFAQABmzZqFAQMG4D//+Q8GDhxoaHnWS+oFyCczyBIREfVSvr6+2Lhxo7nLsDoG98yGhYXhbnfA3b59u94yqVR613v8pqWlGVoGEREREZFpp+YiIiIiIl3Nzc1W1a6lYZglIiIi6kBYWBgSExOhUCjQv39/yGQypKSkQKVSIS4uDk5OThg+fDgOHz4MAFCr1YiPj4dcLkefPn0QEBCATZs26bQ5f/58REdHY+3atfD09ERAQEC7+05NTYWLiwuys7MBAGfPnkVkZCQcHR0hk8kQGxuLqqoqnVoTEhKgUCjg5uaG8PBwI50Vy8IwS/et8cJPqHgzH40XfjJ3KURE1EsE7gg02b527NgBNzc35OXlITExEQsXLsQzzzyD0NBQFBQUYMaMGYiNjUV9fT00Gg0GDx6MvXv34vz581i5ciVWrFiBPXv26LSZnZ2NoqIiHDlyBAcPHtTb5/r167Fs2TJkZWVh2rRpqK6uxtSpUzFmzBjk5+cjIyMDlZWVmDVrll6tdnZ2yMnJwdatWwFAG4A7eowYMcJ4J88ERMLdBsBaiZqaGkilUiiVSjg7O5u7nF5FEARcSy5ES1kdbAc7YtDiIIhEvDc5ERHpamxsRElJCeRyORwcHMxdTqeFhYVBrVbjxIkTAFp7XqVSKWbOnKmduamiogIeHh7Izc3FhAkT9NpISEhARUUF9u3bB6C1ZzYjIwOlpaU6c+/7+vpCoVCgvLwcu3btwpEjR7RBc82aNThx4gQyMzO165eVlcHb2xtFRUXw9/dHWFgYampqUFBQoLP/K1euoKGhocNjtLW1hY+PTxfPkL6OftbGymsmvQMY9TxNF6rRUlYHAGgpq0PThWo4+Pc3c1VERGRpKpqa0azRoEGthkat1ntdIhLBzsYyPzAeNWqU9nuxWIwBAwYgMPDnnmGZTAYAuHbtGgAgOTkZ27ZtQ2lpKRoaGtDc3IygoCCdNgMDA9u9idSGDRugUqmQn5+PoUN/voHS6dOncfToUTg6OuptU1xcDH9/fwDAuHHj9F738urZMyVZ5m8NWQVBEKDMugy0dcSKAGXW5bvOdkFEZFLKK0DJ8davZDZljc349elLqGy+hf82NOOCqknv8b2qEc0azb0bMwNbW1ud5yKRSGdZ2yeSGo0GaWlpSEpKQnx8PLKyslBYWIi4uDi9i7H69evX7r4mT54MtVqtNyyhrq4OUVFRKCws1HlcuHABU6ZMuWu7PX2YAXtmqctu75UFAAjsnSUiC1KwE/js94Cgab1teNSm1pvUkMndbLmFZkHAz70f+gQBuCUIuPsN7y1fTk4OQkNDsWjRIu2y4uLiTm8fHByMhIQEREREQCKRICkpCQAwduxY7N+/H76+vpBIDItvqamp9xxmYM0YZqlLdHplb++I/V/vrL2fC8fOEpH5KK/8HGSB1q+fKVrvtsib05AR+fn5YefOncjMzIRcLseuXbtw8uRJyOXyTrcRGhqKQ4cOITIyEhKJBAqFAosXL0ZKSgpiYmKwdOlSuLq64uLFi0hLS0NqairEYnGH7XGYAfVI9zsDgbZX9s4RBbf1zhIRmc3N4p+DbBtB3XrbcCIjWrBgAWbOnInZs2cjJCQEN27c0Oml7axJkyYhPT0dL7/8MjZv3gxPT0/k5ORArVZjxowZCAwMhEKhgIuLC2y6eayxSCRq9yZYloqzGfRC9zsDgXb7K+2EWQAQAbZenNmAiMxIeQXYOFI30IrEgOIMe2bN4NvaevymoAh/c7bBIO8hENnZt7ueXz979L1LDyMZX0lJCfz9/XH+/Hn4+fl1qQ1Tz2bAntleqL0ZCAyiFqCubmo/yAKAgNbX1Vb/PomIrJXUq3WMrOh/wUgkBqI2MsgS3cOhQ4fw4osvdjnImgPHzPYyemNduzDGVSSxwaCEMdCoWjpcx8bRFiIJ3ysRkRmNnds6RvbmJcB1KIMsUScsXrzY3CUYjGG2l+muGQgkLvaAS/sfExERWQypF0MsUQ/HrrNeRG9e2DacH5aIiIzI1VYCu3t8+icStd44gchQ7JntRfR6ZdtwflgiIjKiwQ522D16KJRlP2JIHzvYO+h/smfJdwAjy8Yw20t0OC9sG84PS0RERuRub4cGGxv0EYvhwBkLqBvxLVBvwRkIiIiIqAdiz2wvwRkIiIiIqCdimO1FOAMBERER9TTshiMiIiKyAL6+vti4caO5y7A6DLNERERk8a5vfgfXt2xp/7UtW3B98zsmrogsBcMsERERWT6xDare3qwXaK9v2YKqtzcDYuuNNM3NzVbVrqWx3p88ERER9RoDFy2C2+8SdQJtW5B1+10iBi5aZJT9hoWFITExEQqFAv3794dMJkNKSgpUKhXi4uLg5OSE4cOH4/DhwwAAtVqN+Ph4yOVy9OnTBwEBAdi0aZNOm/Pnz0d0dDTWrl0LT09PBAQEtLvv1NRUuLi4IDs7GwBw9uxZREZGwtHRETKZDLGxsaiqqtKpNSEhAQqFAm5ubggPDzf4eH/zm99g1KhRaGpqAtAaiMeMGYO5c+ca3JapMMwSERGRVbg90H4fOMroQbbNjh074Obmhry8PCQmJmLhwoV45plnEBoaioKCAsyYMQOxsbGor6+HRqPB4MGDsXfvXpw/fx4rV67EihUrsGfPHp02s7OzUVRUhCNHjuDgwYN6+1y/fj2WLVuGrKwsTJs2DdXV1Zg6dSrGjBmD/Px8ZGRkoLKyErNmzdKr1c7ODjk5Odi6dSsAaANwR48RI0Zot3/77behUqmwbNkyAMCf//xnVFdX4513LHcYh0joAfcwrampgVQqhVKphLOzs7nLISIiojs0NjaipKQEcrkcDg4O99XW94GjILS0QGRriwfOfNtNFbYvLCwMarUaJ06cANDa8yqVSjFz5kzs3LkTAFBRUQEPDw/k5uZiwoQJem0kJCSgoqIC+/btA9DaM5uRkYHS0lLY2dlp1/P19YVCoUB5eTl27dqFI0eOaIPmmjVrcOLECWRmZmrXLysrg7e3N4qKiuDv74+wsDDU1NSgoKBAZ/9XrlxBQ0NDh8doa2sLHx8f7fPc3Fw8+uijWLZsGdatW4ejR49i0qRJnT5nHf2sjZXXODUXERERWY3rW7Zog6zQ0oLrW7YYvWd21KhR2u/FYjEGDBiAwMBA7TKZTAYAuHbtGgAgOTkZ27ZtQ2lpKRoaGtDc3IygoCCdNgMDA3WCbJsNGzZApVIhPz8fQ4cO1S4/ffo0jh49CkdHR71tiouL4e/vDwAYN26c3uteXl4GHC0wceJEJCUl4dVXX8VLL71kUJA1Bw4zICIiIqtw+xjZB858qzeG1lhsbW11notEIp1lbbeB12g0SEtLQ1JSEuLj45GVlYXCwkLExcXpXYzVr1+/dvc1efJkqNVqvWEJdXV1iIqKQmFhoc7jwoULmDJlyl3bNWSYQdtx5OTkQCwW4+LFi504Q+bFnlkiIiKyeO1d7NX2tertzTrPzSknJwehoaFYdFstxcXFnd4+ODgYCQkJiIiIgEQiQVJSEgBg7Nix2L9/P3x9fSGRGBbfUlNT7znM4HZ///vf8f333+OLL75AeHg43n//fcTFxRm0T1NimCUiIiLLp9a0e7GX9rlaY4ai9Pn5+WHnzp3IzMyEXC7Hrl27cPLkScjl8k63ERoaikOHDiEyMhISiQQKhQKLFy9GSkoKYmJisHTpUri6uuLixYtIS0tDamoqxGJxh+0ZMszg1KlTWLlyJfbt24dHHnkEb775Jn7/+9/j0Ucf1Rn2YEkYZomIiMjiDUxM6Pg1C+iRbbNgwQKcOnUKs2fPhkgkQkxMDBYtWqSduquzJk2ahPT0dDzxxBMQi8VITExETk4OXnrpJcyYMQNNTU3w8fFBREQEbGy6Z9RoY2MjnnvuOcyfPx9RUVEAgBdffBHp6emIjY3F8ePH7xqazYWzGRAREZHRdedsBmTZTD2bAS8AIyIiIiKrxTBLRERERFaLYZaIiIiIrJbBYfb48eOIioqCp6cnRCIRPv3007uuf+zYMYhEIr1HRUWFznrJycnw9fWFg4MDQkJCkJeXZ2hpRERERNTLGBxmVSoVRo8ejeTkZIO2KyoqQnl5ufYxaNAg7Wsff/wxlixZglWrVqGgoACjR49GeHi49k4aRERERETtMXhqrsjISERGRhq8o0GDBsHFxaXd195880288MIL2gl5t27divT0dGzbtg3Lli0zeF9ERERE1DuYbMxsUFAQPDw88PjjjyMnJ0e7vLm5Gd988w2mT5/+c1E2Npg+fTpyc3PbbaupqQk1NTU6DyIiIiLqfYweZj08PLB161bs378f+/fvh7e3N8LCwlBQUAAAqKqqglqthkwm09lOJpPpjatts27dOkilUu3D29vb2IdBRERERBbI6HcACwgIQEBAgPZ5aGgoiouL8dZbb2HXrl1danP58uVYsmSJ9nlNTQ0DLREREVEvZJapuYKDg3Hx4kUAgJubG8RiMSorK3XWqayshLu7e7vb29vbw9nZWedBREREZM18fX2xceNGc5dhdcwSZgsLC+Hh4QEAsLOzw7hx45Cdna19XaPRIDs7GxMnTjRHeURERGTBVMom5H12CSplk7lLIQtg8DCDuro6ba8qAJSUlKCwsBCurq4YMmQIli9fjitXrmDnzp0AgI0bN0Iul2PEiBFobGxEamoqPv/8c2RlZWnbWLJkCebNm4fx48cjODgYGzduhEql0s5uQERERNSmXtmMk+mXIR89EP2k9uYu5741NzfDzs7OItvdvn07tm/fjmPHjnVPUUZgcM9sfn4+xowZgzFjxgBoDaJjxozBypUrAQDl5eUoLS3Vrt/c3Iw//vGPCAwMxKOPPorTp0/j3//+N6ZNm6ZdZ/bs2XjjjTewcuVKBAUFobCwEBkZGXoXhRERERGZUlhYGBITE6FQKNC/f3/IZDKkpKRoO92cnJwwfPhwHD58GACgVqsRHx8PuVyOPn36ICAgAJs2bdJpc/78+YiOjsbatWvh6empc23R7VJTU+Hi4qL99Prs2bOIjIyEo6MjZDIZYmNjUVVVpVNrQkICFAoF3NzcEB4ebqSzYlkM7pkNCwuDIAgdvr59+3ad50uXLsXSpUvv2W5CQgISEhIMLYeIiIh6AZWyCfXKZgDA9dJana8A0FdqZ7Re2h07dmDp0qXIy8vDxx9/jIULF+LAgQN4+umnsWLFCrz11luIjY1FaWkpbG1tMXjwYOzduxcDBgzAV199hRdffBEeHh6YNWuWts3s7Gw4OzvjyJEj7e5z/fr1WL9+PbKyshAcHIzq6mpMnToVzz//PN566y00NDTgpZdewqxZs/D555/r1Lpw4UKdaVAjIyNx4sSJDo/Px8cH586d64YzZR4i4W7J1ErU1NRAKpVCqVTyYjAiIiIL1NjYiJKSEsjlcjg4OBi8fd5nl3Ay/XKHrz/8pC+Co4beR4XtCwsLg1qt1oZBtVoNqVSKmTNnaodUVlRUwMPDA7m5uZgwYYJeGwkJCaioqMC+ffsAtPbMZmRkoLS0VGcYgK+vLxQKBcrLy7Fr1y4cOXIEI0aMAACsWbMGJ06cQGZmpnb9srIyeHt7o6ioCP7+/ggLC0NNTY12+tM2V65cQUNDQ4fHaGtrCx8fn3Zf68owg45+1sbKa0afmouIiIjofo2Y4gX56IEAWntkj37wPR577gEMHOIEoLVn1lhGjRql/V4sFmPAgAEIDAzULmsbFnnt2jUAQHJyMrZt24bS0lI0NDSgubkZQUFBOm0GBga2O551w4YNUKlUyM/Px9ChP4fz06dP4+jRo3B0dNTbpri4GP7+/gCAcePG6b3u5eXV6WMtLS3FQw89pH1+69YttLS06Ox3xYoVWLFiRafbNDaGWSIiIrJ4/aT2esMIBg5x0oZZY7K1tdV5LhKJdJaJRCIArbMxpaWlISkpCRs2bMDEiRPh5OSEv//97/j666912ujXr1+7+5o8eTLS09OxZ88eLFu2TLu8rq4OUVFReP311/W2aZshqqN2DRlm4OnpicLCQu1rn3zyCfbv348PP/xQu8zV1bXDtsyBYZaIiIiom+Tk5CA0NBSLFi3SLisuLu709sHBwUhISEBERAQkEgmSkpIAAGPHjsX+/fvh6+sLicSw+JaamnrPYQZtJBIJhg8frn0+aNAg9OnTR2eZpWGYJSIiIqvSV2qHh5/0NerQgq7y8/PDzp07kZmZCblcjl27duHkyZOQy+WdbiM0NBSHDh1CZGQkJBIJFAoFFi9ejJSUFMTExGDp0qVwdXXFxYsXkZaWhtTUVIjF4g7bM2SYgTUyy00TiIiIiLqqn9QewVFDLXKO2QULFmDmzJmYPXs2QkJCcOPGDZ1e2s6aNGkS0tPT8fLLL2Pz5s3w9PRETk4O1Go1ZsyYgcDAQCgUCri4uMDGpnfHOc5mQEREREZ3v7MZkPUw9WwGvTvKExEREZFVY5glIiIiIqvFMEtEREREVothloiIiIisFsMsEREREVkthlkiIiIisloMs0RERERktXpVmL2++R1c37Kl/de2bMH1ze+YuCIiIiIiuh+9KsxCbIOqtzfrBdrrW7ag6u3NgLh3nQ4iIiKyHL6+vti4caO5y7A6EnMXYEoD/3c7uaq3N2uftwVZt98lal8nIiIiy1JTdR0NNcoOX+8rdYHTADcTVkSWoleFWUA30N54dyuElhYGWSIiIgt2q6UFH674A+qV1R2u01faHy8kb4PE1tZ0hXWT5uZm2NnZWU27lqZXfq4+cNEiiGxtIbS0QGRryyBLZMFUyibkfXYJKmWTuUshIjMRSyRwchsIiETtryASwcnNDWJJ9/fRhYWFITExEQqFAv3794dMJkNKSgpUKhXi4uLg5OSE4cOH4/DhwwAAtVqN+Ph4yOVy9OnTBwEBAdi0aZNOm/Pnz0d0dDTWrl0LT09PBAQEtLvv1NRUuLi4IDs7GwBw9uxZREZGwtHRETKZDLGxsaiqqtKpNSEhAQqFAm5ubggPDzfoWGtqatCnTx/tsbQ5cOAAnJycUF9fb1B7ptIrw+z1LVu0QVZoaenwojAiMr96ZTNOpl9GvbLZ3KUQkZmIRCJMmvUcIAjtryAImDTrOYg6Crv3aceOHXBzc0NeXh4SExOxcOFCPPPMMwgNDUVBQQFmzJiB2NhY1NfXQ6PRYPDgwdi7dy/Onz+PlStXYsWKFdizZ49Om9nZ2SgqKsKRI0dw8OBBvX2uX78ey5YtQ1ZWFqZNm4bq6mpMnToVY8aMQX5+PjIyMlBZWYlZs2bp1WpnZ4ecnBxs3boVALQBuKPHiBEjAADOzs546qmnsHv3bp02P/zwQ0RHR6Nv377deVq7Ta8bZnDnGFntxV8Ae2iJiIgslM/osZAN88O1kmIIGo12ucjGBoPkw+AzeqzR9j169Gi8/PLLAIDly5fjtddeg5ubG1544QUAwMqVK/Huu+/i22+/xYQJE7B69WrttnK5HLm5udizZ49O8OzXrx9SU1PbHQbw0ksvYdeuXfjiiy+0QfOdd97BmDFj8Le//U273rZt2+Dt7Y0ffvgB/v7+AAA/Pz+sX79ep73U1FQ0NDR0eHy2tw3NePbZZ7XBvG/fvqipqUF6ejoOHDjQ6fNlar0qzLZ3sVd7F4URkXmplE3antjrpbU6XwGgr9QO/aT2ZqmNiMyjrXd2/7pVOssFjcaovbIAMGrUKO33YrEYAwYMQGBgoHaZTCYDAFy7dg0AkJycjG3btqG0tBQNDQ1obm5GUFCQTpuBgYHtBtkNGzZApVIhPz8fQ4cO1S4/ffo0jh49CkdHR71tiouLtWF23Lhxeq97eXl1+lifeOIJ2Nra4l//+hfmzJmD/fv3w9nZGdOnT+90G6bWq8Is1Jp2L/bSPldr2tmIiEzt3PErOJl+WWfZ0Q++137/8JO+CI4aCiLqXe7snTVFryyg23MJtAbr25e1BWmNRoO0tDQkJSVhw4YNmDhxIpycnPD3v/8dX3/9tU4b/fr1a3dfkydPRnp6Ovbs2YNly5Zpl9fV1SEqKgqvv/663jYeHh53bTcyMhInTpzo8Ph8fHxw7tw5AICdnR1+9atfYffu3ZgzZw52796N2bNnQ2KE8cjdxXIrM4KBiQkdv8YeWSKLMWKKF+SjBwJo7ZE9+sH3eOy5BzBwiBOA1p5Za8XphYi67s7eWVP0yhoqJycHoaGhWHRbriguLu709sHBwUhISEBERAQkEgmSkpIAAGPHjsX+/fvh6+trcLA0ZJgB0DrU4PHHH8e5c+fw+eefY82aNQbtz9R6VZglIuvQT2qvN4xg4BAnbZi1Vj19eiEiU2jrna0svgDZMD+j98oays/PDzt37kRmZibkcjl27dqFkydPQi6Xd7qN0NBQHDp0CJGRkZBIJFAoFFi8eDFSUlIQExODpUuXwtXVFRcvXkRaWhpSU1MhFos7bM+QYQYAMGXKFLi7u+PZZ5+FXC5HSEiIQdubWq+czYCIyBzMOb0QUU8hEokwec48uHp5Y/KceRbVKwsACxYswMyZMzF79myEhITgxo0bOr20nTVp0iSkp6fj5ZdfxubNm+Hp6YmcnByo1WrMmDEDgYGBUCgUcHFxgY1N98Y5kUiEmJgYnD59Gs8++2y3tm0MIkHoaJ4L61FTUwOpVAqlUglnZ2dzl0NE3UilbMK541cwYopXj7jo63LhN3oXsNzul8tXwzdI/wKO3k6tEZBXchPXahsxyMkBwXJXiG0sK8TQ3TU2NqKkpARyuRwODg7mLoeMqKOftbHyGt/+E5FF6ye171EXe5lzeiFrlXG2HKs/O49yZaN2mYfUAauiHkLESI+7bElEvQGHGRARmVDbBSy3B1nAMi9ksQQZZ8ux8IMCnSALABXKRiz8oAAZZ8vNVBkRWQqGWSIiE2vrnRX9b5ybyMbGIi9kMTe1RsDqz86jvbFwbctWf3Yeao3Vj5YjovvAMEtEZGJ39s6yV7Z9eSU39XpkbycAKFc2Iq/kpumKIiKLwzBLRGQGbb2zANgr24FrtR0H2a6sR0Q9E8MsEZEZWPr0QpZgkFPnrnjv7HpE1DNxNgMiIjPxGRWEuDffNXcZFitY7goPqQMqlI3tjpsVAXCXtk7TRUS9F3tmiYjIIoltRFgV9RCA1uB6u7bnq6Ie4nyzRL2cwWH2+PHjiIqKgqenJ0QiET799NO7rv/JJ5/g8ccfx8CBA+Hs7IyJEyciMzNTZ52//OUvEIlEOo8HHnjA0NKIiKiHiRjpgXefGwt3qe5QAnepA959biznmSUiw8OsSqXC6NGjkZyc3Kn1jx8/jscffxyHDh3CN998g8ceewxRUVE4deqUznojRoxAeXm59vHll18aWhoREfVAESM98OVLU/HRCxOwaU4QPnphAr58aSqDLPU4vr6+2Lhxo7nL0Lp+/ToeeOABiMVi7N+/39zldMjgMbORkZGIjIzs9Pp3/lD+9re/4Z///Cc+++wzjBkz5udCJBK4u7t3qs2mpiY0NTVpn9fU1HS6HiJLd33zO4DYBgPbuZf39S1bALUGAxMTzFAZmQN/H1qJbUSYOGyAucsg6jVqa2sRGRkJNzc3PPvss3j22Wfh4uKCadOmmbs0PSYfM6vRaFBbWwtXV90B+xcuXICnpyeGDh2KZ599FqWlpR22sW7dOkilUu3D29vb2GUTmY7YBlVvb24NKre5vmULqt7eDIg51L1X4e8DkZ7GCz+h4s18NF74ydyldIvm5maLarepqQm/+MUv0L9/f2RmZuKVV17BW2+9hZkzZyI/P7+bq7x/Jv8r+MYbb6Curg6zZs3SLgsJCcH27duRkZGBd999FyUlJZg8eTJqa2vbbWP58uVQKpXax48//miq8omMbuCiRXD7XaJOgGkLLm6/S2y3h456Lv4+EOkSBAHKzMu4da0ByszLEITuuQNcS+U1tFy7prc8LCwMi+Pj8bsXX0T//v0hk8mQkpIClUqFuLg4ODk5Yfjw4Th8+DAAQK1WIz4+HnK5HH369EFAQAA2bdqk0+b8+fMRHR2NtWvXwtPTEwEBAe3WlJqaChcXF2RnZwMAzp49i8jISDg6OkImkyE2NhZVVVU6tSYkJEChUMDNzQ3h4eEGnwe1Wo2YmBg4Ojri4MGD6NevHwBg4cKF2Lx5M6KiolBUVGRwu8Zk0qm5du/ejdWrV+Of//wnBg0apF1++7CFUaNGISQkBD4+PtizZw/i4+P12rG3t4e9vb1JaiYyh7aAUvX2Ztx4dyuElhYGl16Mvw9EP2u6UI2WsjoAQEtZHZouVMPBv//9NywCbv0vzNrellGElhbs+vhj/DEhAXl5efj444+xcOFCHDhwAE8//TRWrFiBt956C7GxsSgtLYWtrS0GDx6MvXv3YsCAAfjqq6/w4osvwsPDQ6cjLzs7G87Ozjhy5Ei75axfvx7r169HVlYWgoODUV1djalTp+L555/HW2+9hYaGBrz00kuYNWsWPv/8c+12O3bswMKFC5GTk6NdFhkZiRMnTnR46D4+Pjh37hwAQCwW45NPPml3vblz52Lu3LmdOJmmJRLu4y2NSCTCgQMHEB0dfc9109LS8Jvf/AZ79+7Fk08+ec/1H374YUyfPh3r1q2757o1NTWQSqVQKpVwdnbuTOlEVuH7wFEQWlogsrXFA2e+NXc5ZGb8fSBr1tjYiJKSEsjlcjg4dO1GF4Ig4FpyIVqu1LXez1gE2Ho5YtDioG658UjLtWu4de0aJIMGwXbQILRcu4ZpTz4JjViML//zHwCtPZdSqRQzZ87Ezp07AQAVFRXw8PBAbm4uJkyYoNduQkICKioqsG/fPgCtPbMZGRkoLS2FnZ2ddj1fX18oFAqUl5dj165dOHLkCEaMGAEAWLNmDU6cOKEzI1RZWRm8vb1RVFQEf39/hIWFoaamBgUFBTr7v3LlChoaGjo8bltbW/j4+HTxrOnr6GdtrLxmkp7Zjz76CL/5zW+QlpbWqSBbV1eH4uJixMbGmqA6Ist0fcsWbXARWlpwfcsW9sT1Yvx9INLtlQUACN3bO9vWI3vr2jXcun4dEASI7OwwOihIu45YLMaAAQMQGBioXSaTyQAA1/7Xs5ucnIxt27ahtLQUDQ0NaG5uRtBtbQBAYGCgTpBts2HDBqhUKuTn52Po0KHa5adPn8bRo0fh6Oiot01xcTH8/f0BAOPGjdN73cvLq5NnwDoZPGa2rq4OhYWFKCwsBACUlJSgsLBQe8HW8uXLdbqgd+/ejblz52LDhg0ICQlBRUUFKioqoFQqteskJSXhiy++wOXLl/HVV1/h6aefhlgsRkxMzH0eHpF1un1M5ANnvtUbM0m9C38fiP43Vjbrcrt30FBmdd/YWdtBgwCRCBAEQCSCyNYWtra2ursUiXSWtfUKazQapKWlISkpCfHx8cjKykJhYSHi4uL0LsZqG4t6p8mTJ0OtVmPPnj06y+vq6hAVFaXNYG2PCxcuYMqUKXdtt22cbUePtt5fa2Vwz2x+fj4ee+wx7fMlS5YAAObNm4ft27ejvLxcZyaCf/zjH7h16xYWL16MxYsXa5e3rQ+0dpPHxMTgxo0bGDhwICZNmoT//Oc/GDhwYFePi8hqtXdxz8BFi3BE1Rd//8EeS9/Yjpik+eYtkkymo98HoHUM7e3PiXoyvV7ZNt3cO9ty7Zo2yEIQILS0GLR9Tk4OQkNDsei2f5fFxcWd3j44OBgJCQmIiIiARCJBUlISAGDs2LHYv38/fH19IZEYFt9SU1PvOczAmhkcZsPCwu767qctoLY5duzYPdtMS0sztAyinkut0bu4p6quCa+pPFDj0IK/3eiHx+ua4ObIiyB7hXZ+H4DbAqxaY4aiiExLp1e2vQjyv95Zez+X+xo7296YWaG5GZr6+k634efnh507dyIzMxNyuRy7du3CyZMnIZfLO91GaGgoDh06hMjISEgkEigUCixevBgpKSmIiYnB0qVL4erqiosXLyItLQ2pqakQi8UdttfThxmYdDYDIrq3OyfAFwQBfz5wBqpmNQAR6kUSvPzpWWx9Tn9cFPU8d7shAntkqddQC1BXN7UfZAFAQOvragGQdC3M3hlkgdYhByI7O2gaGtBy7ZrOLAcdWbBgAU6dOoXZs2dDJBIhJiYGixYt0k7d1VmTJk1Ceno6nnjiCYjFYiQmJiInJwcvvfQSZsyYgaamJvj4+CAiIgI2Nr17vun7ms3AUnA2A+rJPjt9FYkfndJb/s6vx+CpUZ5mqIiIrElZYzNuttzq8HVXWwkGO+hfiNTd7nc2g1vVTdCoOv7I38bRFhJp1z+xaqm81jo7QjuBtXXoAWAru3eYpR46mwERdU1VXRP+fOCM3idrIgArPjmDCUMHcLgBEXWorLEZj3z9HZo0Hfdb2duIkBPyoEkC7f2QuNgDLsb7e3e3oNqZHlkyn97dL01kwW4fXnDnf0MCAFWTGi9/etYcpRGRlbjZcuuuQRYAmjTCXXtuiSwdwyyRhfqhsg6Z5yqh7uA/IrUgIONsBX6obP+2z0REhjj47VU8vOYI0r8tN3cpRAZhmCWyUP4yR4SPkEFs0/7FDGKRCBEj3eEvczJxZUTU01SrmrHikzO4XteM5Z98i6q6Jr11NJqmbpvLlag7McwSWSiRSIS1Twein524vTnC0c9ejDXRI81RGhH1JIKALYeL/jdjCqBq1h/C1Nh4FTk5U3Ay/2ncuHHcLKG2ur4Z56/WoLq++d4rU6/CMEtkwdwc7bH26cB2x8z+bWYgL/4iovtmU9GA/xRVaYc0qTWtQ5gOfntVu05zy000t1ShtvYsCk/HmTzUtqg1uFLdgFua1q8tnF+ZbsMwS2ThnhrloTPcQGzTOryA03IR0X1rUsP2fHW7n/6s+ORMO8MNWsNrbe05k4VaQRBwtboBmv/lV40GuFrd8d2sqPdhmCWycLcPNwCAfnYcXkBE3UAQYHu+GlALXZgxpTVZ3h5qb97MMUqZyoYWKBta0FalAAHKhhYONyAthlkiK+DmaI+/zQzEQEc7rJs5isMLiKhTXG0lsO/gIlJR3S2IrzVC1EGnaudmTGkLtWdQ9MNf77NafW3DC9rD4QbUhjdNILIST43y5NACIjLIYAc75IQ82O48soIgYN0NDfJ+qEJ7MwCKRSI8PkIGf5kTajrMszYANHByCsTwYX/qztL1hhfcqW24gc+Aft26X3Py9fWFQqGAQqEwdylWhWGWiIioBxvsYNfh3b3eeSYIU984htrGW3p3Gbz7jCltIXYEhg1dAlfXyRCJ2u8B7qqmWxooGzq+fW3bcIPGFjXsJTZQq9WQSBhreiMOMyAiIuqlDJ8xpTWwOjmNQNDo9/Hw+AMYMGBKtwdZALCX2EDaxxYivcvT2ioRwdlBgrL/liAlJQVvvfUWlEplt9dhCs3Nxhn/a4x2NRoNrly50u3t3g+GWSIiol6sMzOm2NkOgJ2dG5ycRho9xLYRiUTwdOkDm3aSiiAIuHblMjL378YHH3yAq1evQqVSQaVSdXsdYWFhSExMhEKhQP/+/SGTyZCSkgKVSoW4uDg4OTlh+PDhOHz4MABArVYjPj4ecrkcffr0QUBAADZt2qTT5vz58xEdHY21a9fC09MTAQEB7e47NTUVLi4uyM7OBgCcPXsWkZGRcHR0hEwmQ2xsLKqqqnRqTUhIgEKhgJubG8LDw7vtPHz//fdYvnw5hgwZgjfeeKPb2u0ODLNERES9WGdmTHFw8MAjocdNEmJvZyu2gZdLH+1zQRBQWXYZR/+ZhhOHD6CiwjS33t2xYwfc3NyQl5eHxMRELFy4EM888wxCQ0NRUFCAGTNmIDY2FvX19dBoNBg8eDD27t2L8+fPY+XKlVixYgX27Nmj02Z2djaKiopw5MgRHDx4UG+f69evx7Jly5CVlYVp06ahuroaU6dOxZgxY5Cfn4+MjAxUVlZi1qxZerXa2dkhJycHW7duBQBtAO7oMWLEiHaP+6effsK7776LCRMmYOTIkSgoKMBrr72GtWvXdtOZ7R4ioQfcm66mpgZSqRRKpRLOzs7mLoeIiMjqHPz2Klb/6xz+8n8j8eQoj25vv7GxESUlJZDL5XBwcOj0doIgoPRmPS5cLMbZkzmorqqESCRqd27bF198EZ6e3XuhbFhYGNRqNU6cOAGgtedVKpVi5syZ2LlzJwCgoqICHh4eyM3NxYQJE/TaSEhIQEVFBfbt2wegtWc2IyMDpaWlsLP7eTxz2wVg5eXl2LVrF44cOaINmmvWrMGJEyeQmZmpXb+srAze3t4oKiqCv78/wsLCUFNTg4KCAp39X7lyBQ0NHc/Na2trCx8fHwCtwwgOHz6MHTt24F//+hf8/f0RGxuL5557Dh4enfu96Ohnbay8xpHSREREZLEzprQNN9iXewy11TcBwOS30x01apT2e7FYjAEDBiAwMFC7TCaTAQCuXbsGAEhOTsa2bdtQWlqKhoYGNDc3IygoSKfNwMBAnSDbZsOGDVCpVMjPz8fQoUO1y0+fPo2jR4/C0dFRb5vi4mL4+/sDAMaNG6f3upeXV6ePtbS0FE899RT69++Pjz76CE8//XSntzUXDjMgIiIii2YrtsHjM8LRf2BraDTVMAft/m1tdZ6LRCKdZW31aDQapKWlISkpCfHx8cjKykJhYSHi4uL0Lsbq16/9KcUmT54MtVqtNyyhrq4OUVFRKCws1HlcuHABU6ZMuWu7hgwzGDx4MD766COEhIRg1qxZmDJlClJSUlBdXd25k2UG7JklIiIiizfqoQAEPuiP4uJifP7557h69WqHww3MKScnB6GhoVi0aJF2WXFxcae3Dw4ORkJCAiIiIiCRSJCUlAQAGDt2LPbv3w9fX1+DpyBLTU295zCDNhKJBHPmzMGcOXO0wx02btyIxMREREVFITY2FpGRkXoB35zYM0tERERWQSQSYfjw4XjhhRcMGsNpSn5+fsjPz0dmZiZ++OEHvPLKKzh58qRBbYSGhuLQoUNYvXo1Nm7cCABYvHgxbt68iZiYGJw8eRLFxcXIzMxEXFwc1Gr1Xdvz8vLC8OHDO3y0jZe9k4eHB5YuXYpz587hyy+/hEwmw29+8xssW7bMoOMxNvbMEhERkVVpC7XDhg3T9tTW1NR0+NG9KS1YsACnTp3C7NmzIRKJEBMTg0WLFmmn7uqsSZMmIT09HU888QTEYjESExORk5ODl156CTNmzEBTUxN8fHwQEREBm/bmL+tm48ePx/jx4/Hmm2+irKzM6PszBGczICIiIqPr6mwGnSEIAu8AZkFMPZsBhxkQERGRVROJRAyyvRjDLBERERFZLYZZIqJO0miaLO7KaSKi3o5hloioExobryInZwpO5j+NGzeOM9QSEVkIhlkiok5obrmJ5pYq1NaeReHpOIZaIiILwTBLRGSQ1vBaW3uOoZaIyAIwzBIRdYkGgG6ovXkzx8w1EZGxnKs6Z+4SqAMMs0RE96Ut1J5B0Q9/NXMtRGQsI9xGmLsE6gAnZSMiui82ADRwcgrE8GF/MncxRES9DntmiYi6pPXPp5PTCASNfh8Pjz8AV9dHzFwTUc/VG6bG8/X1xcaNG81dhtVhzywRkUFEAAQ4OY3AsKFL4Oo6GSKRyNxFEfVojY1XcfLk07B38OC/O9JjcM/s8ePHERUVBU9PT4hEInz66af33ObYsWMYO3Ys7O3tMXz4cGzfvl1vneTkZPj6+sLBwQEhISHIy8sztDQiIqOxsx0AOzs3ODmN1PbEDhgwhf+hEplAT58ar7m52WLabWxsxPXr141QjfEYHGZVKhVGjx6N5OTkTq1fUlKCJ598Eo899hgKCwuhUCjw/PPPIzMzU7vOxx9/jCVLlmDVqlUoKCjA6NGjER4ejmvXrhlaHhGRUTg4eOCR0OMMsURmZfqp8cLCwpCYmAiFQoH+/ftDJpMhJSUFKpUKcXFxcHJywvDhw3H48GEAgFqtRnx8PORyOfr06YOAgABs2rRJp8358+cjOjoaa9euhaenJwICAtrdd2pqKlxcXJCdnQ0AOHv2LCIjI+Ho6AiZTIbY2FhUVVXp1JqQkACFQgE3NzeEh4cbfLyVlZXw8vJCdHQ0Dhw4gJaWFoPbMDWDw2xkZCTWrFmDp59+ulPrb926FXK5HBs2bMCDDz6IhIQE/OpXv8Jbb72lXefNN9/ECy+8gLi4ODz00EPYunUr+vbti23bthlaHhGR0djY2DPEElkE006Nt2PHDri5uSEvLw+JiYlYuHAhnnnmGYSGhqKgoAAzZsxAbGws6uvrodFoMHjwYOzduxfnz5/HypUrsWLFCuzZs0enzezsbBQVFeHIkSM4ePCg3j7Xr1+PZcuWISsrC9OmTUN1dTWmTp2KMWPGID8/HxkZGaisrMSsWbP0arWzs0NOTg62bt0KANoA3NFjxIifZ2rw8fFBbm4ufHx8sGDBAnh4eOB3v/sdvvnmGyOc2e4hEu7j7YxIJMKBAwcQHR3d4TpTpkzB2LFjdQY0v//++1AoFFAqlWhubkbfvn2xb98+nXbmzZuH6upq/POf/9Rrs6mpCU1NTdrnNTU18Pb2hlKphLOzc1cPh4iIiIyksbERJSUlkMvlcHBwMGjbmtqzOHnyF3ddp2/f4Zg4IfOu63RFWFgY1Go1Tpw4AaC151UqlWLmzJnYuXMnAKCiogIeHh7Izc3FhAkT9NpISEhARUUF9u3bB6C1ZzYjIwOlpaWws7PTrufr6wuFQoHy8nLs2rULR44c0QbNNWvW4MSJEzqfbJeVlcHb2xtFRUXw9/dHWFgYampqUFBQoLP/K1euoKGhocNjtLW1hY+Pj97yW7du4fDhw9i5cyc+++wz+Pn5Yd68eYiNjYVMJuuwvY5+1jU1NZBKpd2e14x+AVhFRYXeActkMtTU1KChoQE//fQT1Gp1u+t8//337ba5bt06rF692mg1ExERkTUwzdR4o0aN0n4vFosxYMAABAYGape1ZZi24ZHJycnYtm0bSktL0dDQgObmZgQFBem0GRgYqBNk22zYsAEqlQr5+fkYOnSodvnp06dx9OhRODo66m1TXFwMf39/AMC4ceP0Xvfy8jLgaH8mkUgQFRWFqKgolJeXY+7cufjTn/6EsrIyi5p1wSqn5lq+fDmUSqX28eOPP5q7JCIiIjIZ006NZ2trq/NcJBLpLGsbfqTRaJCWloakpCTEx8cjKysLhYWFiIuL07sYq1+/fu3ua/LkyVCr1XrDEurq6hAVFYXCwkKdx4ULFzBlypS7tmvIMIPbCYKA48eP44UXXsCDDz6IixcvYuXKlViyZMldzpbpGb1n1t3dHZWVlTrLKisr4ezsjD59+kAsFkMsFre7jru7e7tt2tvbw97e3mg1ExERkSWy/KnxcnJyEBoaikWLFmmXFRcXd3r74OBgJCQkICIiAhKJBElJSQCAsWPHYv/+/fD19YVEYlh8S01Nvecwg9v98MMP2LVrFz744ANUVVXhV7/6FT799FM8+uijFne+AROE2YkTJ+LQoUM6y44cOYKJEycCAOzs7DBu3DhkZ2drx8xqNBpkZ2cjISHB2OURERGRhWubGs/e3vLnmfXz88POnTuRmZkJuVyOXbt24eTJk5DL5Z1uIzQ0FIcOHUJkZCQkEgkUCgUWL16MlJQUxMTEYOnSpXB1dcXFixeRlpaG1NRUiMXiDtszZJhBaWkpHnzwQYSFhWH16tX45S9/2WEvsqUwOMzW1dXh4sWL2uclJSUoLCyEq6srhgwZguXLl+PKlSvaQdG//e1v8c4772Dp0qX4zW9+g88//xx79uxBenq6to0lS5Zg3rx5GD9+PIKDg7Fx40btlBdERETUu7VNjScS2VlsiG2zYMECnDp1CrNnz4ZIJEJMTAwWLVqknbqrsyZNmoT09HQ88cQTEIvFSExMRE5ODl566SXMmDEDTU1N8PHxQUREBGxsum/UqJubG0pKSjBkyJBua9PYDJ7N4NixY3jsscf0ls+bNw/bt2/H/PnzcfnyZRw7dkxnmz/84Q84f/48Bg8ejFdeeQXz58/X2f6dd97B3//+d1RUVCAoKAhvv/02QkJCOlWTsa6OIyIiou5xP7MZkHUx9WwG9zU1l6VgmCUiIrJsDLO9R4+bmotMr6bqOhpqlB2+3lfqAqcBbiasiIiIiMg4GGZ7mFstLfhwxR9Qr6zucJ2+0v54IXkbJHdcvUhERERkbaxynlnqmFgigZPbQKCjAfIiEZzc3CA2cFoPIiIiIkvEMNvDiEQiTJr1HNDRUGhBwKRZz1n81aBEREREncEw2wP5jB4L2TA/iO6YqkNkYwPZMD/4jB5rpsqIiIiIuhfDbA/U1jsraDQ6ywWNhr2yRERE1KMwzPZQd/bOsleWiIiIeiKG2R7qzt5Z9soSERFRT8Qw24O19c4CYK8sERFZtbLGZnxbW9/ho6yx2dwl3jdfX19s3LjR3GVYHc7P1IOJRCJMnjMPn2//f5g8Zx57ZYmIyCqVNTbjka+/Q5Om45uW2tuIkBPyIAY72JmwMrIEDLM9nM+oIMS9+a65yyAiIuqymy237hpkAaBJI+Bmyy2rDLPNzc2ws+v+uo3VrqXhMAMiIiIyCUEAVE23UF3fjLrGWxA6mhPdgoSFhSExMREKhQL9+/eHTCZDSkoKVCoV4uLi4OTkhOHDh+Pw4cMAALVajfj4eMjlcvTp0wcBAQHYtGmTTpvz589HdHQ01q5dC09PTwQEBLS779TUVLi4uCA7OxsAcPbsWURGRsLR0REymQyxsbGoqqrSqTUhIQEKhQJubm4IDw83+Hj/+9//IioqCv3790e/fv0wYsQIHDp0yOB2TIlhloiIiIzuxA/XUFnTiLKf6lF6sx6XqurwfUUtlA2WP9Z1x44dcHNzQ15eHhITE7Fw4UI888wzCA0NRUFBAWbMmIHY2FjU19dDo9Fg8ODB2Lt3L86fP4+VK1dixYoV2LNnj06b2dnZKCoqwpEjR3Dw4EG9fa5fvx7Lli1DVlYWpk2bhurqakydOhVjxoxBfn4+MjIyUFlZiVmzZunVamdnh5ycHGzduhUAtAG4o8eIESO02y9evBhNTU04fvw4zpw5g9dffx2Ojo5GOKvdRyRYw9uie6ipqYFUKoVSqYSzs7O5yyEiIqLbZJwtx6v/PI2/PDYIgzwHQyTR/ejbZ0BfSPt0/HH4t7X1mJH/wz33kzXeH6Oc+t53vbcLCwuDWq3GiRMnALT2vEqlUsycORM7d+4EAFRUVMDDwwO5ubmYMGGCXhsJCQmoqKjAvn37ALT2zGZkZKC0tFRnGICvry8UCgXKy8uxa9cuHDlyRBs016xZgxMnTiAzM1O7fllZGby9vVFUVAR/f3+EhYWhpqYGBQUFOvu/cuUKGhoaOjxGW1tb+Pj4AABGjRqFX/7yl1i1alVXThcAoLGxESUlJZDL5XBwcNAuN1Ze45hZIiIiMhq1RsDqz87f9aPgq9WNcHawtdgLlUeNGqX9XiwWY8CAAQgMDNQuk8lkAIBr164BAJKTk7Ft2zaUlpaioaEBzc3NCAoK0mkzMDCw3fGsGzZsgEqlQn5+PoYOHapdfvr0aRw9erTdXtLi4mL4+/sDAMaNG6f3upeXV6eP9Xe/+x0WLlyIrKwsTJ8+Hb/85S91jt8ScZgBERERGU1eyU2UKxvvuk6LWgNVk9pEFRnO1tZW57lIJNJZ1hbCNRoN0tLSkJSUhPj4eGRlZaGwsBBxcXFobtYdTtGvX7929zV58mSo1Wq9YQl1dXWIiopCYWGhzuPChQuYMmXKXds1ZJjB888/j0uXLiE2NhZnzpzB+PHjsXnz5k6eKfNgzywREREZzbXauwfZNrfuuAW7tcrJyUFoaCgWLVqkXVZcXNzp7YODg5GQkICIiAhIJBIkJSUBAMaOHYv9+/fD19cXEolh8S01NfWewwxu5+3tjd/+9rf47W9/i+XLlyMlJQWJiYkG7dOUGGaJiIjIaAY5Odx7JQASm44/LHa1lcDeRnTPeWZdbc0fa/z8/LBz505kZmZCLpdj165dOHnyJORyeafbCA0NxaFDhxAZGQmJRAKFQoHFixcjJSUFMTExWLp0KVxdXXHx4kWkpaUhNTUVYrG4w/YMGWagUCgQGRkJf39//PTTTzh69CgefPDBTm9vDub/qRMREVGPFSx3hYfUAdC0dLiOrdgG/ew7DmODHeyQE/Igbrbc6nAdV1uJRcwxu2DBApw6dQqzZ8+GSCRCTEwMFi1apJ26q7MmTZqE9PR0PPHEExCLxUhMTEROTg5eeuklzJgxA01NTfDx8UFERARs7vJGwFBqtRqLFy9GWVkZnJ2dERERgbfeeqvb2jcGzmZARERERtU2m8HqxwZhYBdmMyDrwtkMiIiIqEeJGOkBsaYF4vobOsttxTbwdHFgkKX7wjBLRERERjfZfxAuXVJB1r8vxLZ2kNi0Di2w1Om4yHowzBIREZFJiERAP3sJHCxgbCv1HJxnlnQE7gi890pEREREFoJhlnScmXfG3CUQERERdRrDLBERERFZLYZZIiIiIrJaDLNEREREZLUYZomIiMiqHPz2Kh5ecwTp35abuxSyAAyzREREZDWq6pqw4pMzuF7XjOWffIuquiZzl9RtfH19sXHjRnOXoWf79u1wcXExdxkdYpglIiIiqyAIAv584AxUzWoAgKpZjZc/PWvmqsjcGGaJiLqJWiMgt/gG/ll4BbnFN6DWCOYuiahHOfhtOTLPVWr/bak1AjLOVuDgt1fNXNn9aW5utqp2LQ3DLBFRN8g4W45Jr3+OmJT/4PdphYhJ+Q8mvf45Ms5yTB9Rd6iqa8KfD5zBnTe/FQFY8ckZow03CAsLQ2JiIhQKBfr37w+ZTIaUlBSoVCrExcXByckJw4cPx+HDhwEAarUa8fHxkMvl6NOnDwICArBp0yadNufPn4/o6GisXbsWnp6eCAgIaHffqampcHFxQXZ2NgDg7NmziIyMhKOjI2QyGWJjY1FVVaVTa0JCAhQKBdzc3BAeHt6lY96+fTuGDBmCvn374umnn8aNGze61I6pMMwSEd2njLPlWPhBAcqVjTrLK5SNWPhBAQMt0X26fXjBnZ93CABUTcYdbrBjxw64ubkhLy8PiYmJWLhwIZ555hmEhoaioKAAM2bMQGxsLOrr66HRaDB48GDs3bsX58+fx8qVK7FixQrs2bNHp83s7GwUFRXhyJEjOHjwoN4+169fj2XLliErKwvTpk1DdXU1pk6dijFjxiA/Px8ZGRmorKzErFmz9Gq1s7NDTk4Otm7dCgDaANzRY8SIEdrtv/76a8THxyMhIQGFhYV47LHHsGbNGiOc1e4jEgTB6j8Hq6mpgVQqhVKphLOzs7nLIaJeRK0RMOn1z/WCbBsRAHepA758aSrENnf2KRH1Ho2NjSgpKYFcLoeDg4NB2xZV1CJ84/F7rpf1hynwlzl1tcR2hYWFQa1W48SJEwBae16lUilmzpyJnTt3AgAqKirg4eGB3NxcTJgwQa+NhIQEVFRUYN++fQBae2YzMjJQWloKOzs77Xq+vr5QKBQoLy/Hrl27cOTIEW3QXLNmDU6cOIHMzEzt+mVlZfD29kZRURH8/f0RFhaGmpoaFBQU6Oz/ypUraGho6PAYbW1t4ePjAwD49a9/DaVSifT0dO3rc+bMQUZGBqqrqzt1zjr6WRsrr3WpZzY5ORm+vr5wcHBASEgI8vLyOlw3LCwMIpFI7/Hkk09q15k/f77e6xEREV0pjYjIpPJKbnYYZIHWXqNyZSPySm6ariiiHsZf5ojwEbIO3xCKRSJEjHTv9iDbZtSoUT/vSyzGgAEDEBgYqF0mk8kAANeuXQPQmpPGjRuHgQMHwtHREf/4xz9QWlqq02ZgYKBOkG2zYcMGpKSk4Msvv9TpMT19+jSOHj2q06P6wAMPAACKi4u1640bN06vTS8vLwwfPrzDR1uQBYDvvvsOISEhOttPnDjx3ifJjAwOsx9//DGWLFmCVatWoaCgAKNHj0Z4eLj2B3inTz75BOXl5drH2bNnIRaL8cwzz+isFxERobPeRx991LUjIiIyoWu1HQfZrqxHRPpEIhHWPh2IfnbidsfM9rMXY030SKPt39bWVq+e25eJRK1VaTQapKWlISkpCfHx8cjKykJhYSHi4uL0Lsbq169fu/uaPHky1Gq13rCEuro6REVFobCwUOdx4cIFTJky5a7tGjLMwBpJDN3gzTffxAsvvIC4uDgAwNatW5Geno5t27Zh2bJleuu7urrqPE9LS0Pfvn31wqy9vT3c3d0NLYesWOOFn1D9WTFcoobBwa+/ucsh6pJBTp37uLSz6xFR+9wc7bH26UAkfnRKZ7kA4G8zA+HmaG+ewu6Qk5OD0NBQLFq0SLvs9p7TewkODkZCQgIiIiIgkUiQlJQEABg7diz2798PX19fSCSGxbfU1NR7DjNo8+CDD+Lrr7/Wef0///mPQfszNYN6Zpubm/HNN99g+vTpPzdgY4Pp06cjNze3U2289957mDNnjt47h2PHjmHQoEEICAjAwoUL73rlXFNTE2pqanQeZF0EQYAy8zJuXWuAMvMyesDQbeqlguWu8JA66PUWtREB8JA6IFju2sEaRNRZT43y0BluILZpHV7w1ChPM1f2Mz8/P+Tn5yMzMxM//PADXnnlFZw8edKgNkJDQ3Ho0CGsXr1aexOFxYsX4+bNm4iJicHJkydRXFyMzMxMxMXFQa1W37U9Q4YZ/O53v0NGRgbeeOMNXLhwAe+88w4yMjIMPg+mZFCYraqqglqt1o4NaSOTyVBRUXHP7fPy8nD27Fk8//zzOssjIiKwc+dOZGdn4/XXX8cXX3yByMjIDn8469atg1Qq1T68vb0NOQyyAE0XqtFSVgcAaCmrQ9OFavMWRNRFYhsRVkU9BADtfvwJAKuiHuLFX2QRVMom5H12CSqldd416/bhBgDQz864wwu6YsGCBZg5cyZmz56NkJAQ3LhxQ6eXtrMmTZqE9PR0vPzyy9i8eTM8PT2Rk5MDtVqNGTNmIDAwEAqFAi4uLrCx6b7JqSZMmICUlBRs2rQJo0ePRlZWFl5++eVua98YDJrN4OrVq/Dy8sJXX32lMxh46dKl+OKLL/S6pe+0YMEC5Obm4ttvv73repcuXcKwYcPw73//G9OmTdN7vampCU1NP/9DrKmpgbe3N2czsBKCIOBaciFartS1fj4kAmy9HDFocZB23BGRtck4W47Vn53XuRjMQ+qAVVEPIWKkhxkrI/rZ9dJa7PnbScxa8TAGDjHOxVIduZ/ZDO508NurWP2vc/jL/43Ek6P478vSmHo2A4MGXbi5uUEsFqOyslJneWVl5T3Hu6pUKqSlpeGvf/3rPfczdOhQuLm54eLFi+2GWXt7e9jbW8bYGDLc7b2yAADh595ZB3+OnSXrFDHSA48/5I68kpu4VtuIQU6tQwvYI0vU/Z4a5WlRQwvIvAwKs3Z2dhg3bhyys7MRHR0NoPXKvezsbCQkJNx1271796KpqQnPPffcPfdTVlaGGzduwMOD77Z6GkEQoMy63Pr56+2fCYgAZdZl2Pu5sHeWrJbYRoSJwwaYuwwiHSplE+qVrVfSXy+t1fkKAH2ldugnZQcRWS+DZzNYsmQJ5s2bh/HjxyM4OBgbN27U3tINAObOnQsvLy+sW7dOZ7v33nsP0dHRGDBA9w99XV0dVq9ejV/+8pdwd3dHcXExli5diuHDh3f5NmxkufR6Zduwd5aIyCjOHb+Ck+mXdZYd/eB77fcPP+mL4KihJq6KqPsYHGZnz56N69evY+XKlaioqEBQUBAyMjK0F4WVlpbqDUQuKirCl19+iaysLL32xGIxvv32W+zYsQPV1dXw9PTEjBkz8Oqrr3IoQQ/TYa9sG/bOEhF1uxFTvCAfPRBAa4/s0Q++x2PPPaAdM9tXqj9xP5E1MTjMAq23ZetoWMGxY8f0lgUEBHQ49VKfPn10bs1GPZhagLq6qf0gCwACWl9XC4CEYZaIqDv0k9rrDSMYOMTJ5BeAteFUjD2fqX/GXQqzRF0hkthgUMIYaFQtHa5j42gLkaT7phghIiLLIBa3TqfV3NyMPn36mLkaMqb6+noA+ndOMxaGWTIpiYs94MLhI0RE5tBXaoeHn/Q1y9ACiUSCvn374vr167C1te3WuVHJMgiCgPr6ely7dg0uLi7aNzDGxjBLRETUS/ST2pvtYi+RSAQPDw+UlJTgv//9r1lqINNwcXG555St3YlhloiIiEzCzs4Ofn5+aG5uNncpZCS2trYm65FtwzBLREREJmNjY3PfdwAjuh0HrBARERGR1WKYJSIiIiKrxTBLRERERFaLYZaIiIiIrBbDLBERERFZLYZZE1Ipm5D32SWolE3mLoWIiIioR2CYNaF6ZTNOpl9GvZLz6xERERF1B4ZZIiIiIrJavGmCkamUTdqe2OultTpfgdb7ZPeT2pulNiIiIiJrxzBrZOeOX8HJ9Ms6y45+8L32+4ef9DXbfbKJiIiIrB3DrJGNmOIF+eiBAFp7ZI9+8D0ee+4BDBziBKC1Z5aIiIiIuoZh1sj6Se31hhEMHOKkDbNERNSzCIIAtVoNiYT/xRKZAv+lERERdQNBEFBcXIzPP/8cSqUSL774IqRSqbnLIurxGGZNqK/UDg8/6cuhBUREPcjtIfbq1ava5SqVimGWyAQYZk2on9SeF3sREfUQd4ZYkUhk7pKIeiWGWSIiIgMVFxcjOztbJ8QKgmDmqoh6J4ZZIqIeihciGc/hw4dRVVUFgCGWyNx4BzAioh5GEARcvHgRKSkpeOutt6BUKs1dUo8TGRkJT09PAODwAiIz49t1IqIeghcimc6wYcMwdOhQvTGz7KUlMj2GWSIiK8cLkcxDJBJh+PDhGDZsWLtvIojINBhmiYisGC9EMr/2Qm1NTQ369etn7tKIegWGWSIiK8YLkSzH7aGWF94RmQ4vACMismK8EMnyiEQiBlkiE+K/NiK6J42mCSKRHcOSBeKFSETU2zHMEtFdNTZexcmTT8PewQPDhi6Bq+tkhloLwwuRiKg3Y5glortqbrmJ5pYqNLfcQOHpODg5BTLUWiheiEREvRHDLBF1UuvH1rW15xhqLRwvRCKi3oQXgBGRgTQAfg61J/Ofxs2bOWauidrDC5GIqDdgmCWiLmoLtWdQ9MNfzVwLERH1VnzLTkRdZANAAyenQAwf9idzF0NERL1Ul3pmk5OT4evrCwcHB4SEhCAvL6/Ddbdv3w6RSKTzcHBw0FlHEASsXLkSHh4e6NOnD6ZPn44LFy50pTSiTqmpuo7KSxc7fNTeqDJ3iRas9c+Gk9MIBI1+Hw+PPwBX10fMXBMREfVWBvfMfvzxx1iyZAm2bt2KkJAQbNy4EeHh4SgqKsKgQYPa3cbZ2RlFRUXa53deLLJ+/Xq8/fbb2LFjB+RyOV555RWEh4fj/PnzesGX6H7damnBhyv+gHpldYfr9JX2xwvJ2yCxtTVdYRZPBECAk9MIXvhFREQWw+Ce2TfffBMvvPAC4uLi8NBDD2Hr1q3o27cvtm3b1uE2IpEI7u7u2odMJtO+JggCNm7ciJdffhm/+MUvMGrUKOzcuRNXr17Fp59+2m57TU1NqKmp0XkQdZZYIoGT20CgoyAmEsHJzQ1iXjgDALCzHQA7Ozc4OY3U9sQOGDCFQZaIiCyCQWG2ubkZ33zzDaZPn/5zAzY2mD59OnJzczvcrq6uDj4+PvD29sYvfvELnDt3TvtaSUkJKioqdNqUSqUICQnpsM1169ZBKpVqH97e3oYcBvVyIpEIk2Y9B3R0hyRBwKRZzzGs/Y+DgwceCT3OEEtERBbJoDBbVVUFtVqt07MKADKZDBUVFe1uExAQgG3btuGf//wnPvjgA2g0GoSGhqKsrAwAtNsZ0uby5cuhVCq1jx9//NGQwyCCz+ixkA3zg8hG95+AyMYGsmF+8Bk91kyVWSYbG3uGWCIiskhGn5pr4sSJmDt3LoKCgvDoo4/ik08+wcCBA/H//t//63Kb9vb2cHZ21nkQGaKtd1bQaHSWCxoNe2WJiIisiEFh1s3NDWKxGJWVlTrLKysr4e7u3qk2bG1tMWbMGFy8eBEAtNvdT5tEXXFn7yx7ZYmIiKyPQWHWzs4O48aNQ3Z2tnaZRqNBdnY2Jk6c2Kk21Go1zpw5Aw8PDwCAXC6Hu7u7Tps1NTX4+uuvO90mUVfc2TvLXlkiIiLrY/Dl2kuWLMG8efMwfvx4BAcHY+PGjVCpVIiLiwMAzJ07F15eXli3bh0A4K9//SsmTJiA4cOHo7q6Gn//+9/x3//+F88//zyA1kChUCiwZs0a+Pn5aafm8vT0RHR0dPcdKVE72npnK4svsFeWiIjIChkcZmfPno3r169j5cqVqKioQFBQEDIyMrQXcJWWlsLmtotqfvrpJ7zwwguoqKhA//79MW7cOHz11Vd46KGHtOssXboUKpUKL774IqqrqzFp0iRkZGRwjlkyOpFIhMlz5uHz7f8Pk+fMY68sERGRlREJQkfzE1mPmpoaSKVSKJVKXgxGREREZIGMldeMPpsBEREREZGxMMwSERERkdVimCUiIiIiq8UwS0RkBiplE/I+uwSVssncpRARWTWGWSIiM6hXNuNk+mXUK5vNXQoRkVVjmCUiIiIiq2XwPLNERNQ1KmWTtif2emmtzlcA6Cu1Qz+pvVlqIyKyVgyzREQmcu74FZxMv6yz7OgH32u/f/hJXwRHDTVxVURE1o1hlojIREZM8YJ89EAArT2yRz/4Ho899wAGDnEC0NozS0REhmGYJSIykX5Se71hBAOHOGnDLBERGY4XgBERERGR1WKYJSIyg75SOzz8pC+HFhAR3ScOMyCieyprbMbNllsdvu5qK8FgB4YyQ/ST2vNiLyKibsAwS0R3VdbYjEe+/g5NGqHDdextRMgJeZCBloiITI7DDIjorm623LprkAWAJo1w155bIiIiY2GYJSIiIiKrxTBLRERERFaLYZaIiIiIrBbDLBERERFZLYZZIiIiIrJanJqLiIh6nJqq62ioUXb4el+pC5wGuJmwIiIyFoZZIrorV1sJ7G1E95xn1tWWf07IMtxqacGHK/6AemV1h+v0lfbHC8nbILG1NV1hRGQU/N+HiO5qsIMdckIe5B3AyGqIJRI4uQ1EfY0SENp5EyYSwcnNDWIJ/wsk6gn4L5mI7mmwgx3DKlkNkUiESbOew/51q9pfQRAwadZzEIlEpi2MiIyCF4AREVGP4zN6LGTD/CCy0f1vTmRjA9kwP/iMHmumyoiouzHMEhFRj9PWOytoNDrLBY2GvbJEPQzDLBER9Uh39s6yV5aoZ2KYJSKiHunO3ln2yhL1TAyzRETUY7X1zgJgryxRD8UwS0REPZZIJMLkOfPg6uWNyXPmsVeWqAcSCUJ7k/BZl5qaGkilUiiVSjg7O5u7HCIiIiIE7gjEmXlnzF2GxTBWXmPPLBEREZERMMiaBsMsERERdZlK2YS8zy5BpWwydynUSzHMEhERUZfVK5txMv0y6pXN5i6Feqkuhdnk5GT4+vrCwcEBISEhyMvL63DdlJQUTJ48Gf3790f//v0xffp0vfXnz58PkUik84iIiOhKaURERETUixgcZj/++GMsWbIEq1atQkFBAUaPHo3w8HBcu3at3fWPHTuGmJgYHD16FLm5ufD29saMGTNw5coVnfUiIiJQXl6ufXz00UddOyIiIiIyKpWyCddLa7UPADrPTT3kQBAE3Lp1y6T7JMth8GwGISEhePjhh/HOO+8AADQaDby9vZGYmIhly5bdc3u1Wo3+/fvjnXfewdy5cwG09sxWV1fj008/NfwIwNkMiIiITCnvs0s4mX65w9cfftIXwVFDjV6HIAgoLi7G559/DqVSiRdffBFSqdTo+6WuMVZekxiycnNzM7755hssX75cu8zGxgbTp09Hbm5up9qor69HS0sLXF1ddZYfO3YMgwYNQv/+/TF16lSsWbMGAwYMaLeNpqYmNDX9/K6vpqbGkMMgIiKi+zBiihfkowcCaO2RPfrB93jsuQcwcIgTAKCv1M6o+789xF69elW7XKVSMcz2QgaF2aqqKqjVashkMp3lMpkM33//fafaeOmll+Dp6Ynp06drl0VERGDmzJmQy+UoLi7GihUrEBkZidzcXIjFYr021q1bh9WrVxtSOhEREXWTflJ79JPa6ywbOMRJG2aN5c4Qy5tgEGBgmL1fr732GtLS0nDs2DE4ODhol8+ZM0f7fWBgIEaNGoVhw4bh2LFjmDZtml47y5cvx5IlS7TPa2pq4O3tbdziiYiIyGyKi4uRnZ2tE2J7wH2fqBsYdAGYm5sbxGIxKisrdZZXVlbC3d39rtu+8cYbeO2115CVlYVRo0bddd2hQ4fCzc0NFy9ebPd1e3t7ODs76zyIiIjI9PpK7fDwk75GH1pw+PBh7ZAChli6nUFh1s7ODuPGjUN2drZ2mUajQXZ2NiZOnNjhduvXr8err76KjIwMjB8//p77KSsrw40bN+Dh4WFIeURERGRi/aT2CI4aqjfsoLtFRkbC09MTADi8gHQYPMxgyZIlmDdvHsaPH4/g4GBs3LgRKpUKcXFxAIC5c+fCy8sL69atAwC8/vrrWLlyJXbv3g1fX19UVFQAABwdHeHo6Ii6ujqsXr0av/zlL+Hu7o7i4mIsXboUw4cPR3h4eDceKhEREVmrYcOGYejQoXpjZtlLSwaH2dmzZ+P69etYuXIlKioqEBQUhIyMDO1FYaWlpbCx+bnD991330VzczN+9atf6bSzatUq/OUvf4FYLMa3336LHTt2oLq6Gp6enpgxYwZeffVV2Nsb910eERERWQ+RSIThw4dj2LBh7c5mQL2TwfPMWiJrmWdWo2mCSGTHj0dMrPHCT6j+rBguUcPg4Nff3OUQERlVb/qbd/vsBjU1NXjhhRc4NZcFs4h5ZqnrGhuv4uTJp2Hv4IFhQ5fA1XUyQ60JCIIAZeZl3LrWAGXmZdgPd+F5J6Ieq7f9zbu9p1atVkMiYazpjQy+nS11TXPLTTS3VKG29iwKT8fhZP7TuHHjOMf6GFnThWq0lNUBAFrK6tB0odq8BRERGVFv/ZsnEokYZHsxhlmTaw2vtbXnGGqNTBAEKLMuA22dEiJAmXWZ55qIeiT+zaPeimHWbDQAdEPtzZs5Zq6pZ9H2ULT9HRd6V08FEfUu/JtHvRXDrNm1hdozKPrhr2aupefQ66Fow54KIuqB+DfPzJRXgJLjrV/J5Bhmza71R+DkFIgA/5VmrqXn0OuhaMOeCiLqgfg3z4wKdgIbRwI7olq/Fuw0d0W9DsOs2bSF2BEIGv0+Hh5/AK6uj5i5pp6hwx6KNuypIKIehH/zzEh5Bfjs94DQ+ikrBA3wmYI9tCbGS/9MTgRAgJPTCE7RZSxqAerqJv0eijYCWl9XC4CE556IrBz/5pnPzeKfg2wbQQ3cvARIvcxTUy/EMGsidrYDYGfnBnt7zjNrbCKJDQYljIFG1dLhOjaOthBJ+MEEEVk//s0zI9dhgMhGN9CKxIDrUPPV1AsxzJqIg4MHHgk9zjuAmYjExR5w4e2Qiah34N88M5F6AVGbWocWCOrWIBu1kb2yJsYwa0I2NvxDQ0RE1KOMnQsMm9Y6tMB1KIOsGTDMEhEREd0PqRdDrBlxAA0RERERWS2GWSIiIiKyWgyzRERERGS1GGaJiIiIyGoxzBIRERGR1WKYJSIiIiKrxTBLRERERFaLYZaIiIiIrBbDLBERERFZLYZZIiIiIrJaDLNEREREZLUYZomIiIjIajHMEhEREZHVYpglIiIiIqslMXcBZPnKGptxs+VWh6+72kow2MHOhBURERERtWKYpbsqa2zGI19/hyaN0OE69jYi5IQ8yEBLREREJsdhBnRXN1tu3TXIAkCTRrhrzy0RkQ7lFaDkeOtXIqL7xJ5ZIiIynYKdwGe/BwQNILIBojYBY+eauyoismLsmSUiItNQXvk5yAKtXz9TsIeWiO4LwywREZnGzeKfg2wbQQ3cvGSeeoioR+AwA6IeiDNQkEVyHdY6tOD2QCsSA65DzVcTEVk9hlmiHoYzUJDFknq1jpH9TNHaIysSA1EbW5cTEXURwyxRD2PIDBQMs2RyY+cCw6a1Di1wHcogS0T3rUtjZpOTk+Hr6wsHBweEhIQgLy/vruvv3bsXDzzwABwcHBAYGIhDhw7pvC4IAlauXAkPDw/06dMH06dPx4ULF7pSGnUzV1sJ7G1Ed13H3kYEV1u+LyKiTpJ6AfLJDLJE1C0MTiAff/wxlixZgq1btyIkJAQbN25EeHg4ioqKMGjQIL31v/rqK8TExGDdunV46qmnsHv3bkRHR6OgoAAjR44EAKxfvx5vv/02duzYAblcjldeeQXh4eE4f/48HBwc7v8oqcsGO9ghJ+RBjr8kIiIiiyQSBOHun0feISQkBA8//DDeeecdAIBGo4G3tzcSExOxbNkyvfVnz54NlUqFgwcPapdNmDABQUFB2Lp1KwRBgKenJ/74xz8iKSkJAKBUKiGTybB9+3bMmTNHr82mpiY0NTVpn9fU1MDb2xtKpRLOzs6GHA5Rj/NtbT1m5P9wz/WyxvtjlFNfE1RERETUmtekUmm35zWDhhk0Nzfjm2++wfTp039uwMYG06dPR25ubrvb5Obm6qwPAOHh4dr1S0pKUFFRobOOVCpFSEhIh22uW7cOUqlU+/D29jbkMIiIiIiohzAozFZVVUGtVkMmk+ksl8lkqKioaHebioqKu67f9tWQNpcvXw6lUql9/Pjjj4YcBhERERH1EFZ51Y69vT3s7e3NXQYRERERmZlBPbNubm4Qi8WorKzUWV5ZWQl3d/d2t3F3d7/r+m1fDWmTiDrGGSiIiKg3Meh/Mzs7O4wbNw7Z2dmIjo4G0HoBWHZ2NhISEtrdZuLEicjOzoZCodAuO3LkCCZOnAgAkMvlcHd3R3Z2NoKCggC0DhD++uuvsXDhQsOPiKiX4wwURETUmxjcNbNkyRLMmzcP48ePR3BwMDZu3AiVSoW4uDgAwNy5c+Hl5YV169YBAH7/+9/j0UcfxYYNG/Dkk08iLS0N+fn5+Mc//gEAEIlEUCgUWLNmDfz8/LRTc3l6emoDMxEZZrCDHcMqERH1CgaH2dmzZ+P69etYuXIlKioqEBQUhIyMDO0FXKWlpbCx+Xn0QmhoKHbv3o2XX34ZK1asgJ+fHz799FPtHLMAsHTpUqhUKrz44ouorq7GpEmTkJGRwTlmiYiIiOiuDJ5n1hIZa94yIiIiIuoeFjHPLBERERGRJWGYJSIiIiKrxTBLRERERFaLYZaIiIiIrBbDLBERERFZLYZZIiIiIrJaDLNEREREZLV6xM3Z26bKrampMXMlRERERNSetpzW3bc46BFh9saNGwAAb29vM1dCRERERHdz48YNSKXSbmuvR4RZV1dXAK230u3Ok2PNampq4O3tjR9//JF3RfsfnhN9PCf6eE708Zzo4znRx3Oij+dEl1KpxJAhQ7S5rbv0iDBrY9M69FcqlfKX5Q7Ozs48J3fgOdHHc6KP50Qfz4k+nhN9PCf6eE50teW2bmuvW1sjIiIiIjIhhlkiIiIislo9Isza29tj1apVsLe3N3cpFoPnRB/PiT6eE308J/p4TvTxnOjjOdHHc6LLWOdDJHT3/AhERERERCbSI3pmiYiIiKh3YpglIiIiIqvFMEtEREREVothloiIiIisFsMsEREREVktqwmzycnJ8PX1hYODA0JCQpCXl3fX9ffu3YsHHngADg4OCAwMxKFDh0xUqekYck5SUlIwefJk9O/fH/3798f06dPveQ6tkaG/J23S0tIgEokQHR1t3ALNwNBzUl1djcWLF8PDwwP29vbw9/fvcf9+DD0nGzduREBAAPr06QNvb2/84Q9/QGNjo4mqNa7jx48jKioKnp6eEIlE+PTTT++5zbFjxzB27FjY29tj+PDh2L59u9HrNCVDz8knn3yCxx9/HAMHDoSzszMmTpyIzMxM0xRrIl35PWmTk5MDiUSCoKAgo9VnDl05J01NTfjzn/8MHx8f2Nvbw9fXF9u2bTN+sSbSlXPy4YcfYvTo0ejbty88PDzwm9/8Bjdu3DBov1YRZj/++GMsWbIEq1atQkFBAUaPHo3w8HBcu3at3fW/+uorxMTEID4+HqdOnUJ0dDSio6Nx9uxZE1duPIaek2PHjiEmJgZHjx5Fbm4uvL29MWPGDFy5csXElRuPoeekzeXLl5GUlITJkyebqFLTMfScNDc34/HHH8fly5exb98+FBUVISUlBV5eXiau3HgMPSe7d+/GsmXLsGrVKnz33Xd477338PHHH2PFihUmrtw4VCoVRo8ejeTk5E6tX1JSgieffBKPPfYYCgsLoVAo8Pzzz/eo8GboOTl+/Dgef/xxHDp0CN988w0ee+wxREVF4dSpU0au1HQMPSdtqqurMXfuXEybNs1IlZlPV87JrFmzkJ2djffeew9FRUX46KOPEBAQYMQqTcvQc5KTk4O5c+ciPj4e586dw969e5GXl4cXXnjBsB0LViA4OFhYvHix9rlarRY8PT2FdevWtbv+rFmzhCeffFJnWUhIiLBgwQKj1mlKhp6TO926dUtwcnISduzYYawSTa4r5+TWrVtCaGiokJqaKsybN0/4xS9+YYJKTcfQc/Luu+8KQ4cOFZqbm01VoskZek4WL14sTJ06VWfZkiVLhEceecSodZoDAOHAgQN3XWfp0qXCiBEjdJbNnj1bCA8PN2Jl5tOZc9Kehx56SFi9enX3F2QBDDkns2fPFl5++WVh1apVwujRo41alzl15pwcPnxYkEqlwo0bN0xTlJl15pz8/e9/F4YOHaqz7O233xa8vLwM2pfF98w2Nzfjm2++wfTp07XLbGxsMH36dOTm5ra7TW5urs76ABAeHt7h+tamK+fkTvX19WhpaYGrq6uxyjSprp6Tv/71rxg0aBDi4+NNUaZJdeWc/Otf/8LEiROxePFiyGQyjBw5En/729+gVqtNVbZRdeWchIaG4ptvvtEORbh06RIOHTqEJ554wiQ1W5qe/ve1O2g0GtTW1vaYv69d9f777+PSpUtYtWqVuUuxCP/6178wfvx4rF+/Hl5eXvD390dSUhIaGhrMXZrZTJw4ET/++CMOHToEQRBQWVmJffv2Gfz3VWKk+rpNVVUV1Go1ZDKZznKZTIbvv/++3W0qKiraXb+iosJodZpSV87JnV566SV4enrq/adkrbpyTr788ku89957KCwsNEGFpteVc3Lp0iV8/vnnePbZZ3Ho0CFcvHgRixYtQktLS4/4D6kr5+TXv/41qqqqMGnSJAiCgFu3buG3v/1tjxlmYKiO/r7W1NSgoaEBffr0MVNlluONN95AXV0dZs2aZe5SzObChQtYtmwZTpw4AYnE4qOGSVy6dAlffvklHBwccODAAVRVVWHRokW4ceMG3n//fXOXZxaPPPIIPvzwQ8yePRuNjY24desWoqKiDB7OYvE9s9T9XnvtNaSlpeHAgQNwcHAwdzlmUVtbi9jYWKSkpMDNzc3c5VgMjUaDQYMG4R//+AfGjRuH2bNn489//jO2bt1q7tLM5tixY/jb3/6GLVu2oKCgAJ988gnS09Px6quvmrs0skC7d+/G6tWrsWfPHgwaNMjc5ZiFWq3Gr3/9a6xevRr+/v7mLsdiaDQaiEQifPjhhwgODsYTTzyBN998Ezt27Oi1vbPnz5/H73//e6xcuRLffPMNMjIycPnyZfz2t781qB2Lf7vk5uYGsViMyspKneWVlZVwd3dvdxt3d3eD1rc2XTknbd544w289tpr+Pe//41Ro0YZs0yTMvScFBcX4/Lly4iKitIu02g0AACJRIKioiIMGzbMuEUbWVd+Tzw8PGBrawuxWKxd9uCDD6KiogLNzc2ws7Mzas3G1pVz8sorryA2NhbPP/88ACAwMBAqlQovvvgi/vznP8PGpnf1CXT099XZ2bnX98qmpaXh+eefx969e3vMp15dUVtbi/z8fJw6dQoJCQkAWv++CoIAiUSCrKwsTJ061cxVmp6Hhwe8vLwglUq1yx588EEIgoCysjL4+fmZsTrzWLduHR555BH86U9/AgCMGjUK/fr1w+TJk7FmzRp4eHh0qh2L/ytsZ2eHcePGITs7W7tMo9EgOzsbEydObHebiRMn6qwPAEeOHOlwfWvTlXMCAOvXr8err76KjIwMjB8/3hSlmoyh5+SBBx7AmTNnUFhYqH383//9n/YKbW9vb1OWbxRd+T155JFHcPHiRW2wB4AffvgBHh4eVh9kga6dk/r6er3A2hb2W69x6F16+t/Xrvroo48QFxeHjz76CE8++aS5yzErZ2dnvb+vv/3tbxEQEIDCwkKEhISYu0SzeOSRR3D16lXU1dVpl/3www+wsbHB4MGDzViZ+XTb31eDLhczk7S0NMHe3l7Yvn27cP78eeHFF18UXFxchIqKCkEQBCE2NlZYtmyZdv2cnBxBIpEIb7zxhvDdd98Jq1atEmxtbYUzZ86Y6xC6naHn5LXXXhPs7OyEffv2CeXl5dpHbW2tuQ6h2xl6Tu7UE2czMPSclJaWCk5OTkJCQoJQVFQkHDx4UBg0aJCwZs0acx1CtzP0nKxatUpwcnISPvroI+HSpUtCVlaWMGzYMGHWrFnmOoRuVVtbK5w6dUo4deqUAEB48803hVOnTgn//e9/BUEQhGXLlgmxsbHa9S9duiT07dtX+NOf/iR89913QnJysiAWi4WMjAxzHUK3M/ScfPjhh4JEIhGSk5N1/r5WV1eb6xC6naHn5E49cTYDQ89JbW2tMHjwYOFXv/qVcO7cOeGLL74Q/Pz8hOeff95ch9DtDD0n77//viCRSIQtW7YIxcXFwpdffimMHz9eCA4ONmi/VhFmBUEQNm/eLAwZMkSws7MTgoODhf/85z/a1x599FFh3rx5Ouvv2bNH8Pf3F+zs7IQRI0YI6enpJq7Y+Aw5Jz4+PgIAvceqVatMX7gRGfp7crueGGYFwfBz8tVXXwkhISGCvb29MHToUGHt2rXCrVu3TFy1cRlyTlpaWoS//OUvwrBhwwQHBwfB29tbWLRokfDTTz+ZvnAjOHr0aLt/G9rOwbx584RHH31Ub5ugoCDBzs5OGDp0qPD++++bvG5jMvScPProo3ddvyfoyu/J7XpimO3KOfnuu++E6dOnC3369BEGDx4sLFmyRKivrzd98UbSlXPy9ttvCw899JDQp08fwcPDQ3j22WeFsrIyg/YrEoRe+DkZEREREfUIFj9mloiIiIioIwyzRERERGS1GGaJiIiIyGoxzBIRERGR1WKYJSIiIiKrxTBLRERERFaLYZaIiIiIrBbDLBERERFZLYZZIiIiIrJaDLNEREREZLUYZomIiIjIav1/gXJoGJTIQP0AAAAASUVORK5CYII=\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"plt.plot(x, np.sin(x), '-ob', markersize=3, linewidth=1);"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "49g-jM5BK9yU",
"outputId": "ebff933a-32f6-4a54-9ed6-4b56d93c7f7c"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"Alternatively we can use plt.scatter:"
],
"metadata": {
"id": "0zQkqvuqLmJm"
}
},
{
"cell_type": "code",
"source": [
"plt.scatter(x, np.sin(x), marker='o');"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "O6tmubgsLk7H",
"outputId": "66fe61a7-774b-4a4b-a201-8edac315a814"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"The plot function will be faster for scatterplots where markers don't vary in size or color. But in plt.scatter properties of each individual point (size, fill color, border color, etc.) can be individually controlled or compared to data."
],
"metadata": {
"id": "9xtc58mhMcfp"
}
},
{
"cell_type": "code",
"source": [
"import sklearn.datasets as ds\n",
"from sklearn.datasets import load_iris\n",
"iris = load_iris()\n",
"iris.keys()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "5unkiHbJMzD-",
"outputId": "e7eadc9a-bdb5-49c4-9d65-20aabdf8c379"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"dict_keys(['data', 'target', 'frame', 'target_names', 'DESCR', 'feature_names', 'filename', 'data_module'])"
]
},
"metadata": {},
"execution_count": 40
}
]
},
{
"cell_type": "code",
"source": [
"print(iris['DESCR'])"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "K6d-NRa3NDQm",
"outputId": "dc2e68b9-18a2-41c3-fd2f-55a5b3ed32c6"
},
"execution_count": null,
"outputs": [
{
"output_type": "stream",
"name": "stdout",
"text": [
".. _iris_dataset:\n",
"\n",
"Iris plants dataset\n",
"--------------------\n",
"\n",
"**Data Set Characteristics:**\n",
"\n",
" :Number of Instances: 150 (50 in each of three classes)\n",
" :Number of Attributes: 4 numeric, predictive attributes and the class\n",
" :Attribute Information:\n",
" - sepal length in cm\n",
" - sepal width in cm\n",
" - petal length in cm\n",
" - petal width in cm\n",
" - class:\n",
" - Iris-Setosa\n",
" - Iris-Versicolour\n",
" - Iris-Virginica\n",
" \n",
" :Summary Statistics:\n",
"\n",
" ============== ==== ==== ======= ===== ====================\n",
" Min Max Mean SD Class Correlation\n",
" ============== ==== ==== ======= ===== ====================\n",
" sepal length: 4.3 7.9 5.84 0.83 0.7826\n",
" sepal width: 2.0 4.4 3.05 0.43 -0.4194\n",
" petal length: 1.0 6.9 3.76 1.76 0.9490 (high!)\n",
" petal width: 0.1 2.5 1.20 0.76 0.9565 (high!)\n",
" ============== ==== ==== ======= ===== ====================\n",
"\n",
" :Missing Attribute Values: None\n",
" :Class Distribution: 33.3% for each of 3 classes.\n",
" :Creator: R.A. Fisher\n",
" :Donor: Michael Marshall (MARSHALL%PLU@io.arc.nasa.gov)\n",
" :Date: July, 1988\n",
"\n",
"The famous Iris database, first used by Sir R.A. Fisher. The dataset is taken\n",
"from Fisher's paper. Note that it's the same as in R, but not as in the UCI\n",
"Machine Learning Repository, which has two wrong data points.\n",
"\n",
"This is perhaps the best known database to be found in the\n",
"pattern recognition literature. Fisher's paper is a classic in the field and\n",
"is referenced frequently to this day. (See Duda & Hart, for example.) The\n",
"data set contains 3 classes of 50 instances each, where each class refers to a\n",
"type of iris plant. One class is linearly separable from the other 2; the\n",
"latter are NOT linearly separable from each other.\n",
"\n",
".. topic:: References\n",
"\n",
" - Fisher, R.A. \"The use of multiple measurements in taxonomic problems\"\n",
" Annual Eugenics, 7, Part II, 179-188 (1936); also in \"Contributions to\n",
" Mathematical Statistics\" (John Wiley, NY, 1950).\n",
" - Duda, R.O., & Hart, P.E. (1973) Pattern Classification and Scene Analysis.\n",
" (Q327.D83) John Wiley & Sons. ISBN 0-471-22361-1. See page 218.\n",
" - Dasarathy, B.V. (1980) \"Nosing Around the Neighborhood: A New System\n",
" Structure and Classification Rule for Recognition in Partially Exposed\n",
" Environments\". IEEE Transactions on Pattern Analysis and Machine\n",
" Intelligence, Vol. PAMI-2, No. 1, 67-71.\n",
" - Gates, G.W. (1972) \"The Reduced Nearest Neighbor Rule\". IEEE Transactions\n",
" on Information Theory, May 1972, 431-433.\n",
" - See also: 1988 MLC Proceedings, 54-64. Cheeseman et al\"s AUTOCLASS II\n",
" conceptual clustering system finds 3 classes in the data.\n",
" - Many, many more ...\n"
]
}
]
},
{
"cell_type": "code",
"source": [
"iris.feature_names"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "ONshKTSPNE9f",
"outputId": "56a3fdb7-f052-4374-ce09-d7ffa81994cf"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"['sepal length (cm)',\n",
" 'sepal width (cm)',\n",
" 'petal length (cm)',\n",
" 'petal width (cm)']"
]
},
"metadata": {},
"execution_count": 42
}
]
},
{
"cell_type": "code",
"source": [
"features = iris.data.T\n",
"\n",
"plt.scatter(features[0], features[1], alpha=0.2,\n",
" s=100*features[3], c=iris.target)\n",
"plt.xlabel(iris.feature_names[0])\n",
"plt.ylabel(iris.feature_names[1])\n",
"plt.colorbar();"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 455
},
"id": "ykIFuNsUNTE2",
"outputId": "84b7355a-33b2-4a9f-b283-641980a46851"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 2 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"We can see that this scatterplot gave us the opportunity to explore four different dimensions of the data at the same time:\n",
"\n",
"* the position (x, y) of each point corresponds to the length and width of the sepal,\n",
"* dot size is related to petal width,\n",
"* and the color depends on the specific type of flower."
],
"metadata": {
"id": "CkSv-HJHN5Nh"
}
},
{
"cell_type": "markdown",
"source": [
"### Histogram and density plot"
],
"metadata": {
"id": "954hGk00OOsh"
}
},
{
"cell_type": "markdown",
"source": [
"Стовпчики зазвичай використовуються в гістограмі, висота яких по осі Y буде залежати від частоти даних. Тим часом на осі X ми можемо спостерігати досліджувану змінну, розбиту на інтервали (bins)."
],
"metadata": {
"id": "1p6Gs_HFW_Vi"
}
},
{
"cell_type": "code",
"source": [
"np.random.seed(10)\n",
"data = np.random.randn(1000)\n",
"plt.hist(data);"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "PdJAnUyBOdux",
"outputId": "4288e54a-fac4-4caa-ee7d-ffc17242193c"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"Custom histogram as a density plot.\n",
"Documentation is [here](
https://matplotlib.org/stable/api/_as_gen/matplotlib.pyplot.hist.html)"
],
"metadata": {
"id": "ZYtHenaYOwuf"
}
},
{
"cell_type": "code",
"source": [
"plt.hist(data, bins=30, density=True, alpha=0.5, color='steelblue',\n",
" edgecolor='none');"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "eaFVA4zrOqtp",
"outputId": "53ae7b63-a31a-41b7-e99d-76e1d69fba5d"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"x1 = np.random.normal(0, 0.8, 1000)\n",
"x2 = np.random.normal(-2, 1, 1000)\n",
"x3 = np.random.normal(3, 2, 1000)\n",
"\n",
"kwargs = dict(histtype='stepfilled', alpha=0.3, density=True, bins=40)\n",
"\n",
"plt.hist(x1, **kwargs)\n",
"plt.hist(x2, **kwargs)\n",
"plt.hist(x3, **kwargs);"
],
"metadata": {
"id": "GKzd4yN_O7jc",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"outputId": "614faf16-0459-4926-b373-22f6ee133288"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"x1 = np.random.normal(0, 0.8, 1000)\n",
"x2 = np.random.normal(-2, 1, 1000)\n",
"x3 = np.random.normal(3, 2, 1000)\n",
"\n",
"data = [x1, x2, x3]\n",
"\n",
"fig, ax = plt.subplots(3)\n",
"\n",
"ax[0].hist(data, alpha=0.3, density=True, bins=20)\n",
"ax[1].hist(data, histtype='stepfilled', alpha=0.3, density=True, bins=40)\n",
"ax[2].hist(data, histtype='barstacked', alpha=0.3, density=True, bins=40)\n",
"\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "QN8YkKktPO8O",
"outputId": "24009021-f58c-440e-9d2b-b0d9a1131e1b"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 3 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"If we just need to look at the distribution of data, how many records fell into which bin, then we do this using numpy:"
],
"metadata": {
"id": "7opiYJXQP0Jg"
}
},
{
"cell_type": "code",
"source": [
"np.histogram(data, bins=5)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "3rpGC2NPPbFi",
"outputId": "0288c5ce-cb9d-4653-8b51-4e9999f16cc0"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"(array([ 338, 1500, 739, 370, 53]),\n",
" array([-5.39310861, -2.45757294, 0.47796272, 3.41349839, 6.34903406,\n",
" 9.28456973]))"
]
},
"metadata": {},
"execution_count": 48
}
]
},
{
"cell_type": "code",
"source": [
"# for better visibility\n",
"df = pd.DataFrame(np.histogram(data, bins=5)).T\n",
"df.columns=['count', 'x']\n",
"df"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 237
},
"id": "OdOwZ1UFPh0Q",
"outputId": "c0c5125e-9575-4f07-d6fe-8f4466b194e4"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" count x\n",
"0 338.0 -5.393109\n",
"1 1500.0 -2.457573\n",
"2 739.0 0.477963\n",
"3 370.0 3.413498\n",
"4 53.0 6.349034\n",
"5 NaN 9.284570"
],
"text/html": [
"\n",
" <div id=\"df-d421c7fb-481d-4f4e-a051-23e7f81e5405\" 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",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>count</th>\n",
" <th>x</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>338.0</td>\n",
" <td>-5.393109</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>1500.0</td>\n",
" <td>-2.457573</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>739.0</td>\n",
" <td>0.477963</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>370.0</td>\n",
" <td>3.413498</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>53.0</td>\n",
" <td>6.349034</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>NaN</td>\n",
" <td>9.284570</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>\n",
" <div class=\"colab-df-buttons\">\n",
"\n",
" <div class=\"colab-df-container\">\n",
" <button class=\"colab-df-convert\" onclick=\"convertToInteractive('df-d421c7fb-481d-4f4e-a051-23e7f81e5405')\"\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 -960 960 960\">\n",
" <path d=\"M120-120v-720h720v720H120Zm60-500h600v-160H180v160Zm220 220h160v-160H400v160Zm0 220h160v-160H400v160ZM180-400h160v-160H180v160Zm440 0h160v-160H620v160ZM180-180h160v-160H180v160Zm440 0h160v-160H620v160Z\"/>\n",
" </svg>\n",
" </button>\n",
"\n",
" <style>\n",
" .colab-df-container {\n",
" display:flex;\n",
" gap: 12px;\n",
" }\n",
"\n",
" .colab-df-convert {\n",
" background-color: #E8F0FE;\n",
" border: none;\n",
" border-radius: 50%;\n",
" cursor: pointer;\n",
" display: none;\n",
" fill: #1967D2;\n",
" height: 32px;\n",
" padding: 0 0 0 0;\n",
" width: 32px;\n",
" }\n",
"\n",
" .colab-df-convert:hover {\n",
" background-color: #E2EBFA;\n",
" box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
" fill: #174EA6;\n",
" }\n",
"\n",
" .colab-df-buttons div {\n",
" margin-bottom: 4px;\n",
" }\n",
"\n",
" [theme=dark] .colab-df-convert {\n",
" background-color: #3B4455;\n",
" fill: #D2E3FC;\n",
" }\n",
"\n",
" [theme=dark] .colab-df-convert:hover {\n",
" background-color: #434B5C;\n",
" box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
" filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
" fill: #FFFFFF;\n",
" }\n",
" </style>\n",
"\n",
" <script>\n",
" const buttonEl =\n",
" document.querySelector('#df-d421c7fb-481d-4f4e-a051-23e7f81e5405 button.colab-df-convert');\n",
" buttonEl.style.display =\n",
" google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
"\n",
" async function convertToInteractive(key) {\n",
" const element = document.querySelector('#df-d421c7fb-481d-4f4e-a051-23e7f81e5405');\n",
" const dataTable =\n",
" await google.colab.kernel.invokeFunction('convertToInteractive',\n",
" [key], {});\n",
" if (!dataTable) return;\n",
"\n",
" const docLinkHtml = 'Like what you see? Visit the ' +\n",
" '<a target=\"_blank\" href=
https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
" + ' to learn more about interactive tables.';\n",
" element.innerHTML = '';\n",
" dataTable['output_type'] = 'display_data';\n",
" await google.colab.output.renderOutput(dataTable, element);\n",
" const docLink = document.createElement('div');\n",
" docLink.innerHTML = docLinkHtml;\n",
" element.appendChild(docLink);\n",
" }\n",
" </script>\n",
" </div>\n",
"\n",
"\n",
"<div id=\"df-fd35a14e-c185-4f39-92ec-7abe1bb7252b\">\n",
" <button class=\"colab-df-quickchart\" onclick=\"quickchart('df-fd35a14e-c185-4f39-92ec-7abe1bb7252b')\"\n",
" title=\"Suggest charts\"\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",
" <g>\n",
" <path d=\"M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z\"/>\n",
" </g>\n",
"</svg>\n",
" </button>\n",
"\n",
"<style>\n",
" .colab-df-quickchart {\n",
" --bg-color: #E8F0FE;\n",
" --fill-color: #1967D2;\n",
" --hover-bg-color: #E2EBFA;\n",
" --hover-fill-color: #174EA6;\n",
" --disabled-fill-color: #AAA;\n",
" --disabled-bg-color: #DDD;\n",
" }\n",
"\n",
" [theme=dark] .colab-df-quickchart {\n",
" --bg-color: #3B4455;\n",
" --fill-color: #D2E3FC;\n",
" --hover-bg-color: #434B5C;\n",
" --hover-fill-color: #FFFFFF;\n",
" --disabled-bg-color: #3B4455;\n",
" --disabled-fill-color: #666;\n",
" }\n",
"\n",
" .colab-df-quickchart {\n",
" background-color: var(--bg-color);\n",
" border: none;\n",
" border-radius: 50%;\n",
" cursor: pointer;\n",
" display: none;\n",
" fill: var(--fill-color);\n",
" height: 32px;\n",
" padding: 0;\n",
" width: 32px;\n",
" }\n",
"\n",
" .colab-df-quickchart:hover {\n",
" background-color: var(--hover-bg-color);\n",
" box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
" fill: var(--button-hover-fill-color);\n",
" }\n",
"\n",
" .colab-df-quickchart-complete:disabled,\n",
" .colab-df-quickchart-complete:disabled:hover {\n",
" background-color: var(--disabled-bg-color);\n",
" fill: var(--disabled-fill-color);\n",
" box-shadow: none;\n",
" }\n",
"\n",
" .colab-df-spinner {\n",
" border: 2px solid var(--fill-color);\n",
" border-color: transparent;\n",
" border-bottom-color: var(--fill-color);\n",
" animation:\n",
" spin 1s steps(1) infinite;\n",
" }\n",
"\n",
" @keyframes spin {\n",
" 0% {\n",
" border-color: transparent;\n",
" border-bottom-color: var(--fill-color);\n",
" border-left-color: var(--fill-color);\n",
" }\n",
" 20% {\n",
" border-color: transparent;\n",
" border-left-color: var(--fill-color);\n",
" border-top-color: var(--fill-color);\n",
" }\n",
" 30% {\n",
" border-color: transparent;\n",
" border-left-color: var(--fill-color);\n",
" border-top-color: var(--fill-color);\n",
" border-right-color: var(--fill-color);\n",
" }\n",
" 40% {\n",
" border-color: transparent;\n",
" border-right-color: var(--fill-color);\n",
" border-top-color: var(--fill-color);\n",
" }\n",
" 60% {\n",
" border-color: transparent;\n",
" border-right-color: var(--fill-color);\n",
" }\n",
" 80% {\n",
" border-color: transparent;\n",
" border-right-color: var(--fill-color);\n",
" border-bottom-color: var(--fill-color);\n",
" }\n",
" 90% {\n",
" border-color: transparent;\n",
" border-bottom-color: var(--fill-color);\n",
" }\n",
" }\n",
"</style>\n",
"\n",
" <script>\n",
" async function quickchart(key) {\n",
" const quickchartButtonEl =\n",
" document.querySelector('#' + key + ' button');\n",
" quickchartButtonEl.disabled = true; // To prevent multiple clicks.\n",
" quickchartButtonEl.classList.add('colab-df-spinner');\n",
" try {\n",
" const charts = await google.colab.kernel.invokeFunction(\n",
" 'suggestCharts', [key], {});\n",
" } catch (error) {\n",
" console.error('Error during call to suggestCharts:', error);\n",
" }\n",
" quickchartButtonEl.classList.remove('colab-df-spinner');\n",
" quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
" }\n",
" (() => {\n",
" let quickchartButtonEl =\n",
" document.querySelector('#df-fd35a14e-c185-4f39-92ec-7abe1bb7252b button');\n",
" quickchartButtonEl.style.display =\n",
" google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
" })();\n",
" </script>\n",
"</div>\n",
" </div>\n",
" </div>\n"
],
"application/vnd.google.colaboratory.intrinsic+json": {
"type": "dataframe",
"variable_name": "df",
"summary": "{\n \"name\": \"df\",\n \"rows\": 6,\n \"fields\": [\n {\n \"column\": \"count\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 559.033541033094,\n \"min\": 53.0,\n \"max\": 1500.0,\n \"num_unique_values\": 5,\n \"samples\": [\n 1500.0,\n 53.0,\n 739.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": \"x\",\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 5.491884360539006,\n \"min\": -5.393108614110204,\n \"max\": 9.28456973226055,\n \"num_unique_values\": 6,\n \"samples\": [\n -5.393108614110204,\n -2.4575729448360533,\n 9.28456973226055\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n }\n ]\n}"
}
},
"metadata": {},
"execution_count": 49
}
]
},
{
"cell_type": "markdown",
"source": [
"This means that with values from -5.393109 to -2.457573 we have 338 entries."
],
"metadata": {
"id": "arJNHMN8Pr-h"
}
},
{
"cell_type": "markdown",
"source": [
"### Barplots"
],
"metadata": {
"id": "-FUHYkQ-QCoE"
}
},
{
"cell_type": "code",
"source": [
"fig = plt.figure()\n",
"ax = fig.add_axes([0,0,1,1])\n",
"langs = ['C', 'C++', 'Java', 'Python', 'PHP']\n",
"students = [23,17,35,29,12]\n",
"ax.bar(langs, students)\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 540
},
"id": "U0q9NVmfQIzg",
"outputId": "d75a1d72-0a84-443f-8405-37641d7e6de1"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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69eqVyZMnp7W1NePHj89Xv/rVThkWAICerUPx2tbW9mf32W+//TJz5szMnDlzl4cCAIAd2a3PeQUAgD1JvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADF6N3dA8CedMjH/6O7R+jx1sw4q7tHAKBgrrwCAFAM8QoAQDHEKwAAxRCvAAAUQ7wCAFAM8QoAQDHEKwAAxRCvAAAUQ7wCAFAM8QoAQDHEKwAAxRCvAAAUQ7wCAFAM8QoAQDHEKwAAxRCvAAAUQ7wCAFAM8QoAQDHEKwAAxRCvAAAUQ7wCAFAM8QoAQDE6HK9LlizJxIkTU19fn6qqqtxzzz3ttk+ZMiVVVVXtljPOOKOz5gUAoAfrcLxu2bIlxx57bGbOnLnTfc4444ysX7++svz7v//7bg0JAABJ0rujT5gwYUImTJjwuvtUV1enrq7uDR2vtbU1ra2tlcctLS0dHQkAgB6iS+55XbRoUYYOHZq3ve1t+dCHPpTnnntup/tOnz49tbW1laWhoaErRgIAYC/Q6fF6xhln5Nvf/nYWLlyYz372s1m8eHEmTJiQl19+eYf7NzU1pbm5ubKsW7eus0cCAGAv0eHbBv6c888/v/LPxxxzTMaMGZPDDz88ixYtyqmnnrrd/tXV1amuru7sMQAA2At1+UdlHXbYYTnwwAOzatWqrn4pAAD2cl0er7/97W/z3HPPZfjw4V39UgAA7OU6fNvA888/3+4q6tNPP53ly5dn0KBBGTRoUG688cZMnjw5dXV1Wb16dT72sY9l5MiRGT9+fKcODgBAz9PheH300UdzyimnVB5PmzYtSXLJJZdk1qxZefzxx3Pbbbdl06ZNqa+vz+mnn57PfOYz7msFAGC3dTheTz755LS1te10+4IFC3ZrIAAA2Jkuv+cVAAA6i3gFAKAY4hUAgGKIVwAAiiFeAQAohngFAKAY4hUAgGKIVwAAiiFeAQAohngFAKAY4hUAgGKIVwAAiiFeAQAohngFAKAY4hUAgGKIVwAAiiFeAQAohngFAKAY4hUAgGKIVwAAiiFeAQAohngFAKAY4hUAgGKIVwAAiiFeAQAohngFAKAY4hUAgGKIVwAAiiFeAQAohngFAKAY4hUAgGKIVwAAitG7uwcAAHi1Qz7+H909Qo+3ZsZZ3T3CTrnyCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMTocr0uWLMnEiRNTX1+fqqqq3HPPPe22t7W15ZOf/GSGDx+evn37Zty4cVm5cmVnzQsAQA/W4XjdsmVLjj322MycOXOH2z/3uc/llltuya233pqf/exn2X///TN+/Pi8+OKLuz0sAAA9W++OPmHChAmZMGHCDre1tbXl5ptvzg033JBJkyYlSb797W9n2LBhueeee3L++efv3rQAAPRonXrP69NPP50NGzZk3LhxlXW1tbU54YQTsnTp0h0+p7W1NS0tLe0WAADYkU6N1w0bNiRJhg0b1m79sGHDKttea/r06amtra0sDQ0NnTkSAAB7kW7/tIGmpqY0NzdXlnXr1nX3SAAAvEl1arzW1dUlSTZu3Nhu/caNGyvbXqu6ujo1NTXtFgAA2JFOjddDDz00dXV1WbhwYWVdS0tLfvazn6WxsbEzXwoAgB6ow5828Pzzz2fVqlWVx08//XSWL1+eQYMGZcSIEbnmmmvyD//wDzniiCNy6KGH5hOf+ETq6+tz9tlnd+bcAAD0QB2O10cffTSnnHJK5fG0adOSJJdccknmzJmTj33sY9myZUuuuOKKbNq0KSeeeGLmz5+f/fbbr/OmBgCgR+pwvJ588slpa2vb6faqqqrcdNNNuemmm3ZrMAAAeK1u/7QBAAB4o8QrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADFEK8AABRDvAIAUAzxCgBAMcQrAADF6PR4/fSnP52qqqp2y5FHHtnZLwMAQA/UuysOOmrUqDz44IP/9yK9u+RlAADoYbqkKnv37p26urquODQAAD1Yl9zzunLlytTX1+ewww7LRRddlLVr1+5039bW1rS0tLRbAABgRzo9Xk844YTMmTMn8+fPz6xZs/L000/n3e9+dzZv3rzD/adPn57a2trK0tDQ0NkjAQCwl+j0eJ0wYULOPffcjBkzJuPHj88DDzyQTZs25Xvf+94O929qakpzc3NlWbduXWePBADAXqLLf5Jq4MCBeetb35pVq1btcHt1dXWqq6u7egwAAPYCXf45r88//3xWr16d4cOHd/VLAQCwl+v0eP3IRz6SxYsXZ82aNfnpT3+a973vfdlnn31ywQUXdPZLAQDQw3T6bQO//e1vc8EFF+S5557LkCFDcuKJJ+aRRx7JkCFDOvulAADoYTo9XufNm9fZhwQAgCR74J5XAADoLOIVAIBiiFcAAIohXgEAKIZ4BQCgGOIVAIBiiFcAAIohXgEAKIZ4BQCgGOIVAIBiiFcAAIohXgEAKIZ4BQCgGOIVAIBiiFcAAIohXgEAKIZ4BQCgGOIVAIBiiFcAAIohXgEAKIZ4BQCgGOIVAIBiiFcAAIohXgEAKIZ4BQCgGOIVAIBiiFcAAIohXgEAKIZ4BQCgGOIVAIBiiFcAAIohXgEAKIZ4BQCgGOIVAIBiiFcAAIohXgEAKIZ4BQCgGOIVAIBiiFcAAIohXgEAKIZ4BQCgGOIVAIBiiFcAAIohXgEAKIZ4BQCgGOIVAIBiiFcAAIohXgEAKIZ4BQCgGOIVAIBiiFcAAIohXgEAKIZ4BQCgGOIVAIBidFm8zpw5M4ccckj222+/nHDCCfn5z3/eVS8FAEAP0SXx+t3vfjfTpk3Lpz71qfzyl7/Msccem/Hjx+fZZ5/tipcDAKCH6JJ4/Zd/+ZdcfvnlufTSS3P00Ufn1ltvTb9+/fKtb32rK14OAIAeondnH3Dr1q1ZtmxZmpqaKut69eqVcePGZenSpdvt39ramtbW1srj5ubmJElLS0tnj/a6trW+sEdfj+3tiXPuPHe/rj7PznH3c473fs7x3m9Pd9grr9fW1vZn9+30eP2f//mfvPzyyxk2bFi79cOGDctTTz213f7Tp0/PjTfeuN36hoaGzh6NN7nam7t7AvYE53nv5xzv/ZzjvV93nePNmzentrb2dffp9HjtqKampkybNq3yeNu2bfn973+fwYMHp6qqqhsnK0tLS0saGhqybt261NTUdPc4dAHneO/nHPcMzvPezznuuLa2tmzevDn19fV/dt9Oj9cDDzww++yzTzZu3Nhu/caNG1NXV7fd/tXV1amurm63buDAgZ09Vo9RU1PjG2Uv5xzv/ZzjnsF53vs5xx3z5664vqLTf2CrT58+GTt2bBYuXFhZt23btixcuDCNjY2d/XIAAPQgXXLbwLRp03LJJZfk7W9/e44//vjcfPPN2bJlSy699NKueDkAAHqILonX8847L7/73e/yyU9+Mhs2bMhf/MVfZP78+dv9EBedp7q6Op/61Ke2uwWDvYdzvPdzjnsG53nv5xx3raq2N/KZBAAA8CbQZb8eFgAAOpt4BQCgGOIVAIBiiFcAAIohXgFgD5kyZUrOPvvs7h4DiiZe9wIbNmzI1VdfncMOOyzV1dVpaGjIxIkT2/2iCN5cnLOeQaiUbcqUKamqqkpVVVX69OmTkSNH5qabbsof//jHP/vcNWvWpKqqKsuXL+/6QdkjXu/rYdGiRamqqsqmTZu2e94hhxySm2++ud3jV46z//7756/+6q9yxx137Lk3shcQr4Vbs2ZNxo4dm4ceeiif//zn88QTT2T+/Pk55ZRTMnXq1O4ejx3YlXNWVVWVNWvWvKHjz5kzJyeffHLnDQw92BlnnJH169dn5cqVue666/LpT386n//857t7LLpJZ3093HTTTVm/fn1+9atf5bjjjst5552Xn/70p10w8d5JvBbu7//+71NVVZWf//znmTx5ct761rdm1KhRmTZtWh555JHuHo8dcM56pvnz5+fEE0/MwIEDM3jw4Lz3ve/N6tWrK9vf+c535vrrr2/3nN/97nfZd999s2TJkiTJd77znbz97W/PgAEDUldXlwsvvDDPPvvsHn0fPU11dXXq6upy8MEH50Mf+lDGjRuX733ve6mpqcmdd97Zbt977rkn+++/fzZv3pxDDz00SfKXf/mXqaqq2u4PlF/4whcyfPjwDB48OFOnTs1LL71U2faHP/whF198cQ444ID069cvEyZMyMqVKyvb58yZk4EDB2bBggU56qij0r9//0pU0bV29PVw7733dvg4r3wPv/Wtb83MmTPTt2/f3HfffV0w8d5JvBbs97//febPn5+pU6dm//333277wIED9/xQvC7nrOfasmVLpk2blkcffTQLFy5Mr1698r73vS/btm1Lklx00UWZN29eXv17Y7773e+mvr4+7373u5MkL730Uj7zmc/kscceyz333JM1a9ZkypQp3fF2eqy+ffumV69eOf/88zN79ux222bPnp1zzjknAwYMyM9//vMkyYMPPpj169fnrrvuquz34x//OKtXr86Pf/zj3HbbbZkzZ07mzJlT2T5lypQ8+uijuffee7N06dK0tbXlzDPPbBe4L7zwQr7whS/kO9/5TpYsWZK1a9fmIx/5SNe+ebbTt2/fbN26dbeO0bt37+y77767fZyepEt+PSx7xqpVq9LW1pYjjzyyu0fhDXLOeq7Jkye3e/ytb30rQ4YMyW9+85uMHj06f/M3f5NrrrkmDz/8cCVW586dmwsuuCBVVVVJkg9+8IOV5x922GG55ZZbctxxx+X5559P//7999yb6YHa2tqycOHCLFiwIFdffXXOPffcvPOd78z69eszfPjwPPvss3nggQfy4IMPJkmGDBmSJBk8eHDq6uraHeuAAw7IV77yleyzzz458sgjc9ZZZ2XhwoW5/PLLs3Llytx77735z//8z7zzne9Mktx+++1paGjIPffck3PPPTfJn/4gc+utt+bwww9Pklx11VW56aab9tS/jh7vtV8PrzjooIO22/eFF17Y6XG2bt2af/7nf05zc3Pe8573dMmseyNXXgvmN/uW542eswkTJqR///6VJUlGjRpVeTxq1KjKvmvXrm2375VXXpmf/OQn7db90z/9U5e8H964lStX5oILLshhhx2WmpqaHHLIIUn+dP6SP8XO6aefnttvvz1J8vTTT2fp0qW56KKLKsdYtmxZJk6cmBEjRmTAgAH567/+63bHoPPdf//96d+/f/bbb79MmDAh5513Xj796U/n+OOPz6hRo3LbbbclSf7t3/4tBx98cE466aQ/e8xRo0Zln332qTx+JX6T5Mknn0zv3r1zwgknVLYPHjw4b3vb2/Lkk09W1vXr168Srq89Bl1nZ18Pr/jJT36S5cuXt1vq6+u3O87111+f/v37p1+/fvnsZz+bGTNm5KyzztqD76RsrrwW7IgjjkhVVVWeeuqp7h6FN+iNnrNvfOMb+d///d92z3vggQfylre8JUmy7777VrbV19e3+4nmu+66K9///vcrEZQkgwYN6qR3wK6aOHFiDj744Hz9619PfX19tm3bltGjR7f7q8KLLrooH/7wh/PlL385c+fOzTHHHJNjjjkmyZ9uOxg/fnzGjx+f22+/PUOGDMnatWszfvx4f93YhU455ZTMmjUrffr0SX19fXr3/r//bf7t3/5tZs6cmY9//OOZPXt2Lr300spV8tfz6u/f5E8/kPnK7SNv1I6O4YJG13u9r4ckOfTQQ7e7/eu1+yTJRz/60UyZMiX9+/fPsGHD3tDXDf9HvBZs0KBBGT9+fGbOnJkPf/jD291DuWnTJvdQvsm80XP2SqS+2sEHH1y5WvdqvXv3zsiRIyuPhw4dmr59+7ZbR/d67rnnsmLFinz961+v3BLw8MMPb7ffpEmTcsUVV2T+/PmZO3duLr744sq2p556Ks8991xmzJiRhoaGJMmjjz66Z95AD7b//vvv9HvpAx/4QD72sY/llltuyW9+85tccskllW19+vRJkrz88ssder2jjjoqf/zjH/Ozn/2sctvAK18/Rx999C6+CzrL6309dMSBBx7ov9G7wW0DhZs5c2ZefvnlHH/88fn+97+flStX5sknn8wtt9ySxsbG7h6PHXDOep4DDjgggwcPzr/+679m1apVeeihhzJt2rTt9tt///1z9tln5xOf+ESefPLJXHDBBZVtI0aMSJ8+ffLlL385//3f/5177703n/nMZ/bk2+A1DjjggLz//e/PRz/60Zx++unt7nd85Q+R8+fPz8aNG9Pc3PyGjnnEEUdk0qRJufzyy/Pwww/nscceywc+8IG85S1vyaRJk7rqrUBRxGvhDjvssPzyl7/MKaeckuuuuy6jR4/OaaedloULF2bWrFndPR474Jz1HNu2bUvv3r3Tq1evzJs3L8uWLcvo0aNz7bXX7vSzIS+66KI89thjefe7350RI0ZU1g8ZMiRz5szJHXfckaOPPjozZszIF77whT31VtiJyy67LFu3bm33w3TJn/5G5JZbbsnXvva11NfXdyg8Z8+enbFjx+a9731vGhsb09bWlgceeGC7WwWgp6pqc5MMQJc444wzMnLkyHzlK1/p7lHoIt/5zndy7bXX5plnnqncKgB0LVdeATrZH/7wh9x///1ZtGhRxo0b193j0AVeeOGFrF69OjNmzMjf/d3fCVfYg8QrQCf74Ac/mCuvvDLXXXed+xT3Up/73Ody5JFHpq6uLk1NTd09DvQobhsAAKAYrrwCAFAM8QoAQDHEKwAAxRCvAAAUQ7wCAFAM8QoAQDHEKwAAxRCvAAAU4/8B426PH9BKIWYAAAAASUVORK5CYII=\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"data = [[5., 25., 50., 20.],\n",
" [4., 23., 51., 17.],\n",
" [6., 22., 52., 19.]]\n",
"\n",
"X = np.arange(4)\n",
"plt.bar(X + 0.00, data[0], color = 'b', width = 0.25)\n",
"plt.bar(X + 0.25, data[1], color = 'g', width = 0.25)\n",
"plt.bar(X + 0.50, data[2], color = 'r', width = 0.25)\n",
"\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "-VphjG31QXhu",
"outputId": "1a559c7e-241d-410b-f616-73b6466c402a"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"data_df = pd.DataFrame(data,\n",
" columns=range(2018,2022))\n",
"data_df"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 143
},
"id": "kr_DtBJJQeFl",
"outputId": "f214889c-fe33-487a-e3e8-9d3374444f85"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" 2018 2019 2020 2021\n",
"0 5.0 25.0 50.0 20.0\n",
"1 4.0 23.0 51.0 17.0\n",
"2 6.0 22.0 52.0 19.0"
],
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" .colab-df-convert {\n",
" background-color: #E8F0FE;\n",
" border: none;\n",
" border-radius: 50%;\n",
" cursor: pointer;\n",
" display: none;\n",
" fill: #1967D2;\n",
" height: 32px;\n",
" padding: 0 0 0 0;\n",
" width: 32px;\n",
" }\n",
"\n",
" .colab-df-convert:hover {\n",
" background-color: #E2EBFA;\n",
" box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
" fill: #174EA6;\n",
" }\n",
"\n",
" .colab-df-buttons div {\n",
" margin-bottom: 4px;\n",
" }\n",
"\n",
" [theme=dark] .colab-df-convert {\n",
" background-color: #3B4455;\n",
" fill: #D2E3FC;\n",
" }\n",
"\n",
" [theme=dark] .colab-df-convert:hover {\n",
" background-color: #434B5C;\n",
" box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
" filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
" fill: #FFFFFF;\n",
" }\n",
" </style>\n",
"\n",
" <script>\n",
" const buttonEl =\n",
" document.querySelector('#df-77bf2034-f914-4c83-9e20-8c5b430bb69c button.colab-df-convert');\n",
" buttonEl.style.display =\n",
" google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
"\n",
" async function convertToInteractive(key) {\n",
" const element = document.querySelector('#df-77bf2034-f914-4c83-9e20-8c5b430bb69c');\n",
" const dataTable =\n",
" await google.colab.kernel.invokeFunction('convertToInteractive',\n",
" [key], {});\n",
" if (!dataTable) return;\n",
"\n",
" const docLinkHtml = 'Like what you see? Visit the ' +\n",
" '<a target=\"_blank\" href=
https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
" + ' to learn more about interactive tables.';\n",
" element.innerHTML = '';\n",
" dataTable['output_type'] = 'display_data';\n",
" await google.colab.output.renderOutput(dataTable, element);\n",
" const docLink = document.createElement('div');\n",
" docLink.innerHTML = docLinkHtml;\n",
" element.appendChild(docLink);\n",
" }\n",
" </script>\n",
" </div>\n",
"\n",
"\n",
"<div id=\"df-5104bcc7-322a-481f-b1ac-e770330f1c31\">\n",
" <button class=\"colab-df-quickchart\" onclick=\"quickchart('df-5104bcc7-322a-481f-b1ac-e770330f1c31')\"\n",
" title=\"Suggest charts\"\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",
" <g>\n",
" <path d=\"M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z\"/>\n",
" </g>\n",
"</svg>\n",
" </button>\n",
"\n",
"<style>\n",
" .colab-df-quickchart {\n",
" --bg-color: #E8F0FE;\n",
" --fill-color: #1967D2;\n",
" --hover-bg-color: #E2EBFA;\n",
" --hover-fill-color: #174EA6;\n",
" --disabled-fill-color: #AAA;\n",
" --disabled-bg-color: #DDD;\n",
" }\n",
"\n",
" [theme=dark] .colab-df-quickchart {\n",
" --bg-color: #3B4455;\n",
" --fill-color: #D2E3FC;\n",
" --hover-bg-color: #434B5C;\n",
" --hover-fill-color: #FFFFFF;\n",
" --disabled-bg-color: #3B4455;\n",
" --disabled-fill-color: #666;\n",
" }\n",
"\n",
" .colab-df-quickchart {\n",
" background-color: var(--bg-color);\n",
" border: none;\n",
" border-radius: 50%;\n",
" cursor: pointer;\n",
" display: none;\n",
" fill: var(--fill-color);\n",
" height: 32px;\n",
" padding: 0;\n",
" width: 32px;\n",
" }\n",
"\n",
" .colab-df-quickchart:hover {\n",
" background-color: var(--hover-bg-color);\n",
" box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
" fill: var(--button-hover-fill-color);\n",
" }\n",
"\n",
" .colab-df-quickchart-complete:disabled,\n",
" .colab-df-quickchart-complete:disabled:hover {\n",
" background-color: var(--disabled-bg-color);\n",
" fill: var(--disabled-fill-color);\n",
" box-shadow: none;\n",
" }\n",
"\n",
" .colab-df-spinner {\n",
" border: 2px solid var(--fill-color);\n",
" border-color: transparent;\n",
" border-bottom-color: var(--fill-color);\n",
" animation:\n",
" spin 1s steps(1) infinite;\n",
" }\n",
"\n",
" @keyframes spin {\n",
" 0% {\n",
" border-color: transparent;\n",
" border-bottom-color: var(--fill-color);\n",
" border-left-color: var(--fill-color);\n",
" }\n",
" 20% {\n",
" border-color: transparent;\n",
" border-left-color: var(--fill-color);\n",
" border-top-color: var(--fill-color);\n",
" }\n",
" 30% {\n",
" border-color: transparent;\n",
" border-left-color: var(--fill-color);\n",
" border-top-color: var(--fill-color);\n",
" border-right-color: var(--fill-color);\n",
" }\n",
" 40% {\n",
" border-color: transparent;\n",
" border-right-color: var(--fill-color);\n",
" border-top-color: var(--fill-color);\n",
" }\n",
" 60% {\n",
" border-color: transparent;\n",
" border-right-color: var(--fill-color);\n",
" }\n",
" 80% {\n",
" border-color: transparent;\n",
" border-right-color: var(--fill-color);\n",
" border-bottom-color: var(--fill-color);\n",
" }\n",
" 90% {\n",
" border-color: transparent;\n",
" border-bottom-color: var(--fill-color);\n",
" }\n",
" }\n",
"</style>\n",
"\n",
" <script>\n",
" async function quickchart(key) {\n",
" const quickchartButtonEl =\n",
" document.querySelector('#' + key + ' button');\n",
" quickchartButtonEl.disabled = true; // To prevent multiple clicks.\n",
" quickchartButtonEl.classList.add('colab-df-spinner');\n",
" try {\n",
" const charts = await google.colab.kernel.invokeFunction(\n",
" 'suggestCharts', [key], {});\n",
" } catch (error) {\n",
" console.error('Error during call to suggestCharts:', error);\n",
" }\n",
" quickchartButtonEl.classList.remove('colab-df-spinner');\n",
" quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
" }\n",
" (() => {\n",
" let quickchartButtonEl =\n",
" document.querySelector('#df-5104bcc7-322a-481f-b1ac-e770330f1c31 button');\n",
" quickchartButtonEl.style.display =\n",
" google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
" })();\n",
" </script>\n",
"</div>\n",
" </div>\n",
" </div>\n"
],
"application/vnd.google.colaboratory.intrinsic+json": {
"type": "dataframe",
"variable_name": "data_df",
"summary": "{\n \"name\": \"data_df\",\n \"rows\": 3,\n \"fields\": [\n {\n \"column\": 2018,\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 1.0,\n \"min\": 4.0,\n \"max\": 6.0,\n \"num_unique_values\": 3,\n \"samples\": [\n 5.0,\n 4.0,\n 6.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": 2019,\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 1.5275252316519465,\n \"min\": 22.0,\n \"max\": 25.0,\n \"num_unique_values\": 3,\n \"samples\": [\n 25.0,\n 23.0,\n 22.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": 2020,\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 1.0,\n \"min\": 50.0,\n \"max\": 52.0,\n \"num_unique_values\": 3,\n \"samples\": [\n 50.0,\n 51.0,\n 52.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n },\n {\n \"column\": 2021,\n \"properties\": {\n \"dtype\": \"number\",\n \"std\": 1.5275252316519468,\n \"min\": 17.0,\n \"max\": 20.0,\n \"num_unique_values\": 3,\n \"samples\": [\n 20.0,\n 17.0,\n 19.0\n ],\n \"semantic_type\": \"\",\n \"description\": \"\"\n }\n }\n ]\n}"
}
},
"metadata": {},
"execution_count": 52
}
]
},
{
"cell_type": "code",
"source": [
"data_df.T.plot.bar()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 468
},
"id": "wFFOYfK1Qn33",
"outputId": "78fe0be0-8314-4984-92df-d741c6845b5d"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<Axes: >"
]
},
"metadata": {},
"execution_count": 53
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"### Stacked barplot\n"
],
"metadata": {
"id": "13SiJn9xQxv4"
}
},
{
"cell_type": "code",
"source": [
"A = np.array([5., 30., 45., 22.])\n",
"B = np.array([5., 25., 50., 20.])\n",
"C = np.array([1., 2., 1., 1.])\n",
"X = np.arange(4)\n",
"\n",
"plt.bar(X, A, color = 'b')\n",
"plt.bar(X, B, color = 'g', bottom = A)\n",
"plt.bar(X, C, color = 'r', bottom = A + B)\n",
"\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 432
},
"id": "Ngrz9hE9Qy_K",
"outputId": "a30c87b2-d3ce-4585-dc23-4c44d646e7ff"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": "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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"men_mean_scores = (20, 35, 30, 35, 27)\n",
"women_mean_scores = (25, 32, 34, 20, 25)\n",
"ind = np.arange(5) # the x locations for the groups\n",
"width = 0.35\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_axes([0,0,1,1])\n",
"ax.bar(ind, men_mean_scores, width, color='r')\n",
"ax.bar(ind, women_mean_scores, width, bottom=men_mean_scores, color='b')\n",
"ax.set_ylabel('Scores')\n",
"ax.set_title('Scores by group and gender')\n",
"# так встановлюємо текстові лейбли\n",
"ax.set_xticks(ind) # values\n",
"ax.set_xticklabels(['G1', 'G2', 'G3', 'G4', 'G5']) # labels\n",
"ax.set_yticks(np.arange(0, 81, 10))\n",
"ax.legend(labels=['Men', 'Women'])\n",
"plt.show()\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 563
},
"id": "Xf3t8xuhRHIj",
"outputId": "f9b55ae9-de6b-4688-e535-f42cbc886f3d"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"## Visualization using Pandas"
],
"metadata": {
"id": "8tthdY7wRlCB"
}
},
{
"cell_type": "markdown",
"source": [
"Reminder for those who use
Google Colab: please appload required data file\n",
"\n",
"\n",
"Or connect your Google drive with data)"
],
"metadata": {
"id": "0aLusJaaO9-G"
}
},
{
"cell_type": "markdown",
"source": [
"Lets work with [Health Insurance Cross Sell Prediction](
https://www.kaggle.com/datasets/anmolkumar/health-insurance-cross-sell-prediction?resource=download&select=test.csv) dataset\n",
""
],
"metadata": {
"id": "IrNuJUdeRgeV"
}
},
{
"cell_type": "code",
"source": [
"df = pd.read_csv('train.csv', index_col='id')\n",
"df.head()"
],
"metadata": {
"id": "hnkC_ZB5Ru61",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 257
},
"outputId": "595c071a-d899-4032-94ad-089cc57638bf"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
" Gender Age Driving_License Region_Code Previously_Insured Vehicle_Age \\\n",
"id \n",
"1 Male 44 1 28.0 0 > 2 Years \n",
"2 Male 76 1 3.0 0 1-2 Year \n",
"3 Male 47 1 28.0 0 > 2 Years \n",
"4 Male 21 1 11.0 1 < 1 Year \n",
"5 Female 29 1 41.0 1 < 1 Year \n",
"\n",
" Vehicle_Damage Annual_Premium Policy_Sales_Channel Vintage Response \n",
"id \n",
"1 Yes 40454.0 26.0 217 1 \n",
"2 No 33536.0 26.0 183 0 \n",
"3 Yes 38294.0 26.0 27 1 \n",
"4 No 28619.0 152.0 203 0 \n",
"5 No 27496.0 152.0 39 0 "
],
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" .colab-df-container {\n",
" display:flex;\n",
" gap: 12px;\n",
" }\n",
"\n",
" .colab-df-convert {\n",
" background-color: #E8F0FE;\n",
" border: none;\n",
" border-radius: 50%;\n",
" cursor: pointer;\n",
" display: none;\n",
" fill: #1967D2;\n",
" height: 32px;\n",
" padding: 0 0 0 0;\n",
" width: 32px;\n",
" }\n",
"\n",
" .colab-df-convert:hover {\n",
" background-color: #E2EBFA;\n",
" box-shadow: 0px 1px 2px rgba(60, 64, 67, 0.3), 0px 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
" fill: #174EA6;\n",
" }\n",
"\n",
" .colab-df-buttons div {\n",
" margin-bottom: 4px;\n",
" }\n",
"\n",
" [theme=dark] .colab-df-convert {\n",
" background-color: #3B4455;\n",
" fill: #D2E3FC;\n",
" }\n",
"\n",
" [theme=dark] .colab-df-convert:hover {\n",
" background-color: #434B5C;\n",
" box-shadow: 0px 1px 3px 1px rgba(0, 0, 0, 0.15);\n",
" filter: drop-shadow(0px 1px 2px rgba(0, 0, 0, 0.3));\n",
" fill: #FFFFFF;\n",
" }\n",
" </style>\n",
"\n",
" <script>\n",
" const buttonEl =\n",
" document.querySelector('#df-65c46c7c-e083-4ae2-a527-0fc68aa6fa65 button.colab-df-convert');\n",
" buttonEl.style.display =\n",
" google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
"\n",
" async function convertToInteractive(key) {\n",
" const element = document.querySelector('#df-65c46c7c-e083-4ae2-a527-0fc68aa6fa65');\n",
" const dataTable =\n",
" await google.colab.kernel.invokeFunction('convertToInteractive',\n",
" [key], {});\n",
" if (!dataTable) return;\n",
"\n",
" const docLinkHtml = 'Like what you see? Visit the ' +\n",
" '<a target=\"_blank\" href=
https://colab.research.google.com/notebooks/data_table.ipynb>data table notebook</a>'\n",
" + ' to learn more about interactive tables.';\n",
" element.innerHTML = '';\n",
" dataTable['output_type'] = 'display_data';\n",
" await google.colab.output.renderOutput(dataTable, element);\n",
" const docLink = document.createElement('div');\n",
" docLink.innerHTML = docLinkHtml;\n",
" element.appendChild(docLink);\n",
" }\n",
" </script>\n",
" </div>\n",
"\n",
"\n",
"<div id=\"df-2f825840-49dc-4ace-8b1e-ff5273054059\">\n",
" <button class=\"colab-df-quickchart\" onclick=\"quickchart('df-2f825840-49dc-4ace-8b1e-ff5273054059')\"\n",
" title=\"Suggest charts\"\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",
" <g>\n",
" <path d=\"M19 3H5c-1.1 0-2 .9-2 2v14c0 1.1.9 2 2 2h14c1.1 0 2-.9 2-2V5c0-1.1-.9-2-2-2zM9 17H7v-7h2v7zm4 0h-2V7h2v10zm4 0h-2v-4h2v4z\"/>\n",
" </g>\n",
"</svg>\n",
" </button>\n",
"\n",
"<style>\n",
" .colab-df-quickchart {\n",
" --bg-color: #E8F0FE;\n",
" --fill-color: #1967D2;\n",
" --hover-bg-color: #E2EBFA;\n",
" --hover-fill-color: #174EA6;\n",
" --disabled-fill-color: #AAA;\n",
" --disabled-bg-color: #DDD;\n",
" }\n",
"\n",
" [theme=dark] .colab-df-quickchart {\n",
" --bg-color: #3B4455;\n",
" --fill-color: #D2E3FC;\n",
" --hover-bg-color: #434B5C;\n",
" --hover-fill-color: #FFFFFF;\n",
" --disabled-bg-color: #3B4455;\n",
" --disabled-fill-color: #666;\n",
" }\n",
"\n",
" .colab-df-quickchart {\n",
" background-color: var(--bg-color);\n",
" border: none;\n",
" border-radius: 50%;\n",
" cursor: pointer;\n",
" display: none;\n",
" fill: var(--fill-color);\n",
" height: 32px;\n",
" padding: 0;\n",
" width: 32px;\n",
" }\n",
"\n",
" .colab-df-quickchart:hover {\n",
" background-color: var(--hover-bg-color);\n",
" box-shadow: 0 1px 2px rgba(60, 64, 67, 0.3), 0 1px 3px 1px rgba(60, 64, 67, 0.15);\n",
" fill: var(--button-hover-fill-color);\n",
" }\n",
"\n",
" .colab-df-quickchart-complete:disabled,\n",
" .colab-df-quickchart-complete:disabled:hover {\n",
" background-color: var(--disabled-bg-color);\n",
" fill: var(--disabled-fill-color);\n",
" box-shadow: none;\n",
" }\n",
"\n",
" .colab-df-spinner {\n",
" border: 2px solid var(--fill-color);\n",
" border-color: transparent;\n",
" border-bottom-color: var(--fill-color);\n",
" animation:\n",
" spin 1s steps(1) infinite;\n",
" }\n",
"\n",
" @keyframes spin {\n",
" 0% {\n",
" border-color: transparent;\n",
" border-bottom-color: var(--fill-color);\n",
" border-left-color: var(--fill-color);\n",
" }\n",
" 20% {\n",
" border-color: transparent;\n",
" border-left-color: var(--fill-color);\n",
" border-top-color: var(--fill-color);\n",
" }\n",
" 30% {\n",
" border-color: transparent;\n",
" border-left-color: var(--fill-color);\n",
" border-top-color: var(--fill-color);\n",
" border-right-color: var(--fill-color);\n",
" }\n",
" 40% {\n",
" border-color: transparent;\n",
" border-right-color: var(--fill-color);\n",
" border-top-color: var(--fill-color);\n",
" }\n",
" 60% {\n",
" border-color: transparent;\n",
" border-right-color: var(--fill-color);\n",
" }\n",
" 80% {\n",
" border-color: transparent;\n",
" border-right-color: var(--fill-color);\n",
" border-bottom-color: var(--fill-color);\n",
" }\n",
" 90% {\n",
" border-color: transparent;\n",
" border-bottom-color: var(--fill-color);\n",
" }\n",
" }\n",
"</style>\n",
"\n",
" <script>\n",
" async function quickchart(key) {\n",
" const quickchartButtonEl =\n",
" document.querySelector('#' + key + ' button');\n",
" quickchartButtonEl.disabled = true; // To prevent multiple clicks.\n",
" quickchartButtonEl.classList.add('colab-df-spinner');\n",
" try {\n",
" const charts = await google.colab.kernel.invokeFunction(\n",
" 'suggestCharts', [key], {});\n",
" } catch (error) {\n",
" console.error('Error during call to suggestCharts:', error);\n",
" }\n",
" quickchartButtonEl.classList.remove('colab-df-spinner');\n",
" quickchartButtonEl.classList.add('colab-df-quickchart-complete');\n",
" }\n",
" (() => {\n",
" let quickchartButtonEl =\n",
" document.querySelector('#df-2f825840-49dc-4ace-8b1e-ff5273054059 button');\n",
" quickchartButtonEl.style.display =\n",
" google.colab.kernel.accessAllowed ? 'block' : 'none';\n",
" })();\n",
" </script>\n",
"</div>\n",
" </div>\n",
" </div>\n"
],
"application/vnd.google.colaboratory.intrinsic+json": {
"type": "dataframe",
"variable_name": "df"
}
},
"metadata": {},
"execution_count": 56
}
]
},
{
"cell_type": "code",
"source": [
"df.dtypes"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "v4rhdQkhQX1x",
"outputId": "30c9e018-8ead-4b3d-f8a3-dc6b582e330c"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Gender object\n",
"Age int64\n",
"Driving_License int64\n",
"Region_Code float64\n",
"Previously_Insured int64\n",
"Vehicle_Age object\n",
"Vehicle_Damage object\n",
"Annual_Premium float64\n",
"Policy_Sales_Channel float64\n",
"Vintage int64\n",
"Response int64\n",
"dtype: object"
]
},
"metadata": {},
"execution_count": 57
}
]
},
{
"cell_type": "markdown",
"source": [
"A scatter matrix (pairs plot) compactly plots all the numeric variables we have in a dataset against each other one. In Python, this data visualization technique can be carried out with many libraries but if we are using Pandas to load the data, we can use the base scatter_matrix method to visualize the dataset."
],
"metadata": {
"id": "ar9xTZ8MQjl1"
}
},
{
"cell_type": "code",
"source": [
"pd.plotting.scatter_matrix(\n",
" df[['Age', 'Annual_Premium', 'Vintage']], figsize=(15, 15), diagonal=\"kde\"\n",
")\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 1000
},
"id": "8a9qFLDPQegR",
"outputId": "2960c63c-3e0e-4c68-f61e-852f72f5245a"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1500x1500 with 9 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"df[\"Age\"].hist();"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 430
},
"id": "--w_OOnQSV9w",
"outputId": "94a2400d-f33d-4277-fa07-38af4d8d7473"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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QAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgrIAHofb2di1cuFCpqamKiorSl770JS1ZskSWZdk1lmWptLRUSUlJioqKUmZmpo4cOeIzz4kTJ5SXl6eYmBjFxcWpoKBAp0+f9ql57733dNtttykyMlIpKSlavny533q2bt2q4cOHKzIyUmPGjNFrr70W6EMGAAA9VMCD0LJly/TCCy9o7dq1ev/997Vs2TItX75czz//vF2zfPlyrVmzRuXl5aqtrVW/fv2UnZ2tc+fO2TV5eXk6ePCgHA6Htm/frt27d2vmzJn2uNvtVlZWloYOHar6+no9++yzKisr0/r16+2aPXv26P7771dBQYHeffdd5eTkKCcnR42NjYE+bAAA0AMFPAjt2bNH99xzj6ZOnaphw4bp29/+trKysrR3715Jf78atGrVKi1YsED33HOPxo4dq5deeknHjx9XZWWlJOn9999XVVWVXnzxRaWnp+vWW2/V888/r5dfflnHjx+XJG3evFltbW3asGGDRo0apdzcXP3oRz/SypUr7bWsXr1akydP1uzZszVixAgtWbJEN954o9auXRvowwYAAD1Q30BPOHHiRK1fv14ffPCBvvKVr+j3v/+93nrrLTugHD16VC6XS5mZmfZ7YmNjlZ6eLqfTqdzcXDmdTsXFxSktLc2uyczMVGhoqGpra3XvvffK6XTq9ttvV3h4uF2TnZ2tZcuW6eTJk4qPj5fT6VRJSYnP+rKzs+3AdaHW1la1trbar91utyTJ4/HI4/F87t6cr2O+iFDrEpVXl0D3obO5g7mPnoi++KMn/uhJ5+iLPxN60pVjC3gQmjt3rtxut4YPH64+ffqovb1dTz31lPLy8iRJLpdLkpSQkODzvoSEBHvM5XJp8ODBvgvt21cDBgzwqUlNTfWbo2MsPj5eLpfrovu50NKlS7Vo0SK/7dXV1YqOjr6s4++qJWneoMwbLFfiM1YOhyPo++iJ6Is/euKPnnSOvvjrzT05e/bsZdcGPAi98sor2rx5syoqKjRq1Cg1NDSouLhYycnJys/PD/TuAmrevHk+V5DcbrdSUlKUlZWlmJiYgO7L4/HI4XBoYV2oWr0hAZ07mBrLsoM2d0dP7rrrLoWFhQVtPz0NffFHT/zRk87RF38m9KTjjs7lCHgQmj17tubOnavc3FxJ0pgxY/SXv/xFS5cuVX5+vhITEyVJTU1NSkpKst/X1NSk8ePHS5ISExPV3NzsM++nn36qEydO2O9PTExUU1OTT03H60vVdIxfKCIiQhEREX7bw8LCgnaytHpD1Nrec4LQlfhDE8x+92T0xR898UdPOkdf/PXmnnTluAL+YemzZ88qNNR32j59+sjr/fstoNTUVCUmJqqmpsYed7vdqq2tVUZGhiQpIyNDLS0tqq+vt2t27twpr9er9PR0u2b37t0+9wEdDoeuv/56xcfH2zXn76ejpmM/AADAbAEPQt/4xjf01FNPaceOHfrzn/+sV199VStXrtS9994rSQoJCVFxcbGefPJJbdu2TQcOHNCDDz6o5ORk5eTkSJJGjBihyZMna8aMGdq7d6/efvttFRUVKTc3V8nJyZKkBx54QOHh4SooKNDBgwe1ZcsWrV692ufW1qxZs1RVVaUVK1bo0KFDKisrU11dnYqKigJ92AAAoAcK+K2x559/XgsXLtQPfvADNTc3Kzk5Wf/6r/+q0tJSu2bOnDk6c+aMZs6cqZaWFt16662qqqpSZGSkXbN582YVFRVp0qRJCg0N1bRp07RmzRp7PDY2VtXV1SosLNSECRM0aNAglZaW+nzX0MSJE1VRUaEFCxZo/vz5uu6661RZWanRo0cH+rABAEAPFPAg1L9/f61atUqrVq36zJqQkBAtXrxYixcv/syaAQMGqKKi4qL7Gjt2rN58882L1kyfPl3Tp0+/aA0AADATvzUGAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsYIShP7617/qO9/5jgYOHKioqCiNGTNGdXV19rhlWSotLVVSUpKioqKUmZmpI0eO+Mxx4sQJ5eXlKSYmRnFxcSooKNDp06d9at577z3ddtttioyMVEpKipYvX+63lq1bt2r48OGKjIzUmDFj9NprrwXjkAEAQA8U8CB08uRJ3XLLLQoLC9NvfvMb/eEPf9CKFSsUHx9v1yxfvlxr1qxReXm5amtr1a9fP2VnZ+vcuXN2TV5eng4ePCiHw6Ht27dr9+7dmjlzpj3udruVlZWloUOHqr6+Xs8++6zKysq0fv16u2bPnj26//77VVBQoHfffVc5OTnKyclRY2NjoA8bAAD0QH0DPeGyZcuUkpKijRs32ttSU1Ptf7csS6tWrdKCBQt0zz33SJJeeuklJSQkqLKyUrm5uXr//fdVVVWlffv2KS0tTZL0/PPP6+6779aPf/xjJScna/PmzWpra9OGDRsUHh6uUaNGqaGhQStXrrQD0+rVqzV58mTNnj1bkrRkyRI5HA6tXbtW5eXlgT50AADQwwQ8CG3btk3Z2dmaPn26du3apS984Qv6wQ9+oBkzZkiSjh49KpfLpczMTPs9sbGxSk9Pl9PpVG5urpxOp+Li4uwQJEmZmZkKDQ1VbW2t7r33XjmdTt1+++0KDw+3a7Kzs7Vs2TKdPHlS8fHxcjqdKikp8Vlfdna2KisrO117a2urWltb7ddut1uS5PF45PF4PndvztcxX0SoFdB5gy3Qfehs7mDuoyeiL/7oiT960jn64s+EnnTl2AIehP70pz/phRdeUElJiebPn699+/bpRz/6kcLDw5Wfny+XyyVJSkhI8HlfQkKCPeZyuTR48GDfhfbtqwEDBvjUnH+l6fw5XS6X4uPj5XK5LrqfCy1dulSLFi3y215dXa3o6OjLbUGXLEnzBmXeYLkSn7FyOBxB30dPRF/80RN/9KRz9MVfb+7J2bNnL7s24EHI6/UqLS1NTz/9tCTphhtuUGNjo8rLy5Wfnx/o3QXUvHnzfK4gud1upaSkKCsrSzExMQHdl8fjkcPh0MK6ULV6QwI6dzA1lmUHbe6Ontx1110KCwsL2n56Gvrij574oyedoy/+TOhJxx2dyxHwIJSUlKSRI0f6bBsxYoT+67/+S5KUmJgoSWpqalJSUpJd09TUpPHjx9s1zc3NPnN8+umnOnHihP3+xMRENTU1+dR0vL5UTcf4hSIiIhQREeG3PSwsLGgnS6s3RK3tPScIXYk/NMHsd09GX/zRE3/0pHP0xV9v7klXjivgT43dcsstOnz4sM+2Dz74QEOHDpX09w9OJyYmqqamxh53u92qra1VRkaGJCkjI0MtLS2qr6+3a3bu3Cmv16v09HS7Zvfu3T73AR0Oh66//nr7CbWMjAyf/XTUdOwHAACYLeBB6LHHHtM777yjp59+Wn/84x9VUVGh9evXq7CwUJIUEhKi4uJiPfnkk9q2bZsOHDigBx98UMnJycrJyZH09ytIkydP1owZM7R37169/fbbKioqUm5urpKTkyVJDzzwgMLDw1VQUKCDBw9qy5YtWr16tc+trVmzZqmqqkorVqzQoUOHVFZWprq6OhUVFQX6sAEAQA8U8FtjX/3qV/Xqq69q3rx5Wrx4sVJTU7Vq1Srl5eXZNXPmzNGZM2c0c+ZMtbS06NZbb1VVVZUiIyPtms2bN6uoqEiTJk1SaGiopk2bpjVr1tjjsbGxqq6uVmFhoSZMmKBBgwaptLTU57uGJk6cqIqKCi1YsEDz58/Xddddp8rKSo0ePTrQhw0AAHqggAchSfr617+ur3/96585HhISosWLF2vx4sWfWTNgwABVVFRcdD9jx47Vm2++edGa6dOna/r06RdfMAAAMBK/NQYAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGP17e4FAPA3bO4O+98j+lhafpM0uux1tbaHdOOqLu7Pz0zt7iUAQJdxRQgAABiLIAQAAIzFrTEAAXH+7bxgC9TtQm7nAeCKEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWHyPELokmN8VE6yfkuC7YgAAn4UrQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjBX0IPTMM88oJCRExcXF9rZz586psLBQAwcO1DXXXKNp06apqanJ533Hjh3T1KlTFR0drcGDB2v27Nn69NNPfWreeOMN3XjjjYqIiNCXv/xlbdq0yW//69at07BhwxQZGan09HTt3bs3GIcJAAB6oKAGoX379unf//3fNXbsWJ/tjz32mH79619r69at2rVrl44fP65vfetb9nh7e7umTp2qtrY27dmzRz//+c+1adMmlZaW2jVHjx7V1KlTdeedd6qhoUHFxcX6/ve/r9dff92u2bJli0pKSvTEE09o//79GjdunLKzs9Xc3BzMwwYAAD1E0ILQ6dOnlZeXp5/+9KeKj4+3t586dUo/+9nPtHLlSn3ta1/ThAkTtHHjRu3Zs0fvvPOOJKm6ulp/+MMf9Itf/ELjx4/XlClTtGTJEq1bt05tbW2SpPLycqWmpmrFihUaMWKEioqK9O1vf1vPPfecva+VK1dqxowZeuihhzRy5EiVl5crOjpaGzZsCNZhAwCAHiRoX6hYWFioqVOnKjMzU08++aS9vb6+Xh6PR5mZmfa24cOHa8iQIXI6nbr55pvldDo1ZswYJSQk2DXZ2dl69NFHdfDgQd1www1yOp0+c3TUdNyCa2trU319vebNm2ePh4aGKjMzU06ns9M1t7a2qrW11X7tdrslSR6PRx6P5//ejE50zBcRagV03p6soxeB7kmg/7e7EiL6/KMHwepLTxaonvTEc+OzdBxLbzqmQKAv/kzoSVeOLShB6OWXX9b+/fu1b98+vzGXy6Xw8HDFxcX5bE9ISJDL5bJrzg9BHeMdYxercbvd+uSTT3Ty5Em1t7d3WnPo0KFO17106VItWrTIb3t1dbWio6MvcsT/d0vSvEGZtycLdE9ee+21gM53JSy/yX8b54q/z9uTnnhuXIrD4ejuJVyV6Iu/3tyTs2fPXnZtwIPQhx9+qFmzZsnhcCgyMjLQ0wfVvHnzVFJSYr92u91KSUlRVlaWYmJiArovj8cjh8OhhXWhavUG7uckerKIUEtL0rwB70ljWXbA5rpSRpf947NuwepLTxaonvTEc+OzdPydctdddyksLKy7l3PVoC/+TOhJxx2dyxHwIFRfX6/m5mbdeOON9rb29nbt3r1ba9eu1euvv662tja1tLT4XBVqampSYmKiJCkxMdHv6a6Op8rOr7nwSbOmpibFxMQoKipKffr0UZ8+fTqt6ZjjQhEREYqIiPDbHhYWFrSTpdUbEtDf1eoNAt2TnvgHvbPj51zx93l70hPPjUsJ5t9XPRl98debe9KV4wr4h6UnTZqkAwcOqKGhwf4nLS1NeXl59r+HhYWppqbGfs/hw4d17NgxZWRkSJIyMjJ04MABn6e7HA6HYmJiNHLkSLvm/Dk6ajrmCA8P14QJE3xqvF6vampq7BoAAGC2gF8R6t+/v0aPHu2zrV+/fho4cKC9vaCgQCUlJRowYIBiYmL0wx/+UBkZGbr55pslSVlZWRo5cqS++93vavny5XK5XFqwYIEKCwvtKzaPPPKI1q5dqzlz5ujhhx/Wzp079corr2jHjn/8OnpJSYny8/OVlpamm266SatWrdKZM2f00EMPBfqwAQBADxS0p8Yu5rnnnlNoaKimTZum1tZWZWdn6yc/+Yk93qdPH23fvl2PPvqoMjIy1K9fP+Xn52vx4sV2TWpqqnbs2KHHHntMq1ev1rXXXqsXX3xR2dn/uOd/33336aOPPlJpaalcLpfGjx+vqqoqvw9QAwAAM12RIPTGG2/4vI6MjNS6deu0bt26z3zP0KFDL/lExx133KF33333ojVFRUUqKiq67LUCAABzdMsVIeBKGjZ3x6WLAABG4kdXAQCAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYq293LwAAusuwuTu6ewld9udnpnb3EoBehStCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWvzUGAD3IZ/0+WkQfS8tvkkaXva7W9pArvKpL4zfScLXiihAAADBWwIPQ0qVL9dWvflX9+/fX4MGDlZOTo8OHD/vUnDt3ToWFhRo4cKCuueYaTZs2TU1NTT41x44d09SpUxUdHa3Bgwdr9uzZ+vTTT31q3njjDd14442KiIjQl7/8ZW3atMlvPevWrdOwYcMUGRmp9PR07d27N9CHDAAAeqiAB6Fdu3apsLBQ77zzjhwOhzwej7KysnTmzBm75rHHHtOvf/1rbd26Vbt27dLx48f1rW99yx5vb2/X1KlT1dbWpj179ujnP/+5Nm3apNLSUrvm6NGjmjp1qu688041NDSouLhY3//+9/X666/bNVu2bFFJSYmeeOIJ7d+/X+PGjVN2draam5sDfdgAAKAHCvhnhKqqqnxeb9q0SYMHD1Z9fb1uv/12nTp1Sj/72c9UUVGhr33ta5KkjRs3asSIEXrnnXd08803q7q6Wn/4wx/029/+VgkJCRo/fryWLFmixx9/XGVlZQoPD1d5eblSU1O1YsUKSdKIESP01ltv6bnnnlN2drYkaeXKlZoxY4YeeughSVJ5ebl27NihDRs2aO7cuYE+dAAA0MME/cPSp06dkiQNGDBAklRfXy+Px6PMzEy7Zvjw4RoyZIicTqduvvlmOZ1OjRkzRgkJCXZNdna2Hn30UR08eFA33HCDnE6nzxwdNcXFxZKktrY21dfXa968efZ4aGioMjMz5XQ6O11ra2urWltb7ddut1uS5PF45PF4PkcX/HXMFxFqBXTenqyjF/TEF33xR0/8Xe09CfTfoV3db3ft/2pkQk+6cmxBDUJer1fFxcW65ZZbNHr0aEmSy+VSeHi44uLifGoTEhLkcrnsmvNDUMd4x9jFatxutz755BOdPHlS7e3tndYcOnSo0/UuXbpUixYt8tteXV2t6OjoyzzqrlmS5g3KvD0ZPekcffFHT/xdrT157bXXunX/DoejW/d/NerNPTl79uxl1wY1CBUWFqqxsVFvvfVWMHcTMPPmzVNJSYn92u12KyUlRVlZWYqJiQnovjwejxwOhxbWharVe/U96todIkItLUnz0pML0Bd/9MTf1d6TxrLsbtlvx9+1d911l8LCwrplDVcbE3rScUfncgQtCBUVFWn79u3avXu3rr32Wnt7YmKi2tra1NLS4nNVqKmpSYmJiXbNhU93dTxVdn7NhU+aNTU1KSYmRlFRUerTp4/69OnTaU3HHBeKiIhQRESE3/awsLCgnSyt3pCr8js/uhM96Rx98UdP/F2tPenu/+AG8+/xnqo396QrxxXwp8Ysy1JRUZFeffVV7dy5U6mpqT7jEyZMUFhYmGpqauxthw8f1rFjx5SRkSFJysjI0IEDB3ye7nI4HIqJidHIkSPtmvPn6KjpmCM8PFwTJkzwqfF6vaqpqbFrAACA2QJ+RaiwsFAVFRX61a9+pf79+9uf6YmNjVVUVJRiY2NVUFCgkpISDRgwQDExMfrhD3+ojIwM3XzzzZKkrKwsjRw5Ut/97ne1fPlyuVwuLViwQIWFhfYVm0ceeURr167VnDlz9PDDD2vnzp165ZVXtGPHP751taSkRPn5+UpLS9NNN92kVatW6cyZM/ZTZAAAwGwBD0IvvPCCJOmOO+7w2b5x40Z973vfkyQ999xzCg0N1bRp09Ta2qrs7Gz95Cc/sWv79Omj7du369FHH1VGRob69eun/Px8LV682K5JTU3Vjh079Nhjj2n16tW69tpr9eKLL9qPzkvSfffdp48++kilpaVyuVwaP368qqqq/D5ADQAAzBTwIGRZl350MzIyUuvWrdO6des+s2bo0KGXfMrgjjvu0LvvvnvRmqKiIhUVFV1yTQAAwDz81hgAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYKyg/vo8AACSNGzujksXBUFEH0vLb5JGl73e5R+j/fMzU4O0KlxNuCIEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLL1QEAKAT3fUlkJ8HXwLZdVwRAgAAxiIIAQAAYxGEAACAsQhCAADAWAQhAABgLIIQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMYiCAEAAGMRhAAAgLEIQgAAwFgEIQAAYCyCEAAAMBZBCAAAGIsgBAAAjEUQAgAAxurb3QsAAACBMWzujkvWRPSxtPwmaXTZ62ptD7kCq7q4Pz8ztVv3b8QVoXXr1mnYsGGKjIxUenq69u7d291LAgAAV4FeH4S2bNmikpISPfHEE9q/f7/GjRun7OxsNTc3d/fSAABAN+v1QWjlypWaMWOGHnroIY0cOVLl5eWKjo7Whg0buntpAACgm/Xqzwi1tbWpvr5e8+bNs7eFhoYqMzNTTqfTr761tVWtra3261OnTkmSTpw4IY/HE9C1eTwenT17Vn09oWr3dv892qtBX6+ls2e99OQC9MUfPfFHTzpHX/xdbT353//934DP+fHHH0uSLMu6ZG2vDkL/8z//o/b2diUkJPhsT0hI0KFDh/zqly5dqkWLFvltT01NDdoa4euB7l7AVYq++KMn/uhJ5+iLv6upJ4NWBG/ujz/+WLGxsRet6dVBqKvmzZunkpIS+7XX69WJEyc0cOBAhYQENjW73W6lpKToww8/VExMTEDn7qnoSefoiz964o+edI6++DOhJ5Zl6eOPP1ZycvIla3t1EBo0aJD69OmjpqYmn+1NTU1KTEz0q4+IiFBERITPtri4uGAuUTExMb32RPy/oiedoy/+6Ik/etI5+uKvt/fkUleCOvTqD0uHh4drwoQJqqmpsbd5vV7V1NQoIyOjG1cGAACuBr36ipAklZSUKD8/X2lpabrpppu0atUqnTlzRg899FB3Lw0AAHSzXh+E7rvvPn300UcqLS2Vy+XS+PHjVVVV5fcB6istIiJCTzzxhN+tOJPRk87RF3/0xB896Rx98UdPfIVYl/NsGQAAQC/Uqz8jBAAAcDEEIQAAYCyCEAAAMBZBCAAAGIsgFERLly7VV7/6VfXv31+DBw9WTk6ODh8+7FNz7tw5FRYWauDAgbrmmms0bdo0vy+A7G1eeOEFjR071v4yr4yMDP3mN7+xx03syYWeeeYZhYSEqLi42N5mWl/KysoUEhLi88/w4cPtcdP6cb6//vWv+s53vqOBAwcqKipKY8aMUV1dnT1uWZZKS0uVlJSkqKgoZWZm6siRI9244uAaNmyY37kSEhKiwsJCSWaeK+3t7Vq4cKFSU1MVFRWlL33pS1qyZInPb2+Zdp58JgtBk52dbW3cuNFqbGy0GhoarLvvvtsaMmSIdfr0abvmkUcesVJSUqyamhqrrq7Ouvnmm62JEyd246qDb9u2bdaOHTusDz74wDp8+LA1f/58KywszGpsbLQsy8yenG/v3r3WsGHDrLFjx1qzZs2yt5vWlyeeeMIaNWqU9be//c3+56OPPrLHTetHhxMnTlhDhw61vve971m1tbXWn/70J+v111+3/vjHP9o1zzzzjBUbG2tVVlZav//9761vfvObVmpqqvXJJ59048qDp7m52ec8cTgcliTrd7/7nWVZZp4rTz31lDVw4EBr+/bt1tGjR62tW7da11xzjbV69Wq7xrTz5LMQhK6g5uZmS5K1a9cuy7Isq6WlxQoLC7O2bt1q17z//vuWJMvpdHbXMrtFfHy89eKLLxrfk48//ti67rrrLIfDYf3zP/+zHYRM7MsTTzxhjRs3rtMxE/vR4fHHH7duvfXWzxz3er1WYmKi9eyzz9rbWlparIiICOs//uM/rsQSu92sWbOsL33pS5bX6zX2XJk6dar18MMP+2z71re+ZeXl5VmWxXlyPm6NXUGnTp2SJA0YMECSVF9fL4/Ho8zMTLtm+PDhGjJkiJxOZ7es8Uprb2/Xyy+/rDNnzigjI8P4nhQWFmrq1Kk+xy+Ze64cOXJEycnJ+uIXv6i8vDwdO3ZMkrn9kKRt27YpLS1N06dP1+DBg3XDDTfopz/9qT1+9OhRuVwun97ExsYqPT291/dGktra2vSLX/xCDz/8sEJCQow9VyZOnKiamhp98MEHkqTf//73euuttzRlyhRJnCfn6/XfLH218Hq9Ki4u1i233KLRo0dLklwul8LDw/1+2DUhIUEul6sbVnnlHDhwQBkZGTp37pyuueYavfrqqxo5cqQaGhqM7cnLL7+s/fv3a9++fX5jJp4r6enp2rRpk66//nr97W9/06JFi3TbbbepsbHRyH50+NOf/qQXXnhBJSUlmj9/vvbt26cf/ehHCg8PV35+vn38F357vgm9kaTKykq1tLToe9/7niQz/+xI0ty5c+V2uzV8+HD16dNH7e3teuqpp5SXlydJxp8n5yMIXSGFhYVqbGzUW2+91d1LuSpcf/31amho0KlTp/Sf//mfys/P165du7p7Wd3mww8/1KxZs+RwOBQZGdndy7kqdPw/V0kaO3as0tPTNXToUL3yyiuKiorqxpV1L6/Xq7S0ND399NOSpBtuuEGNjY0qLy9Xfn5+N6+u+/3sZz/TlClTlJyc3N1L6VavvPKKNm/erIqKCo0aNUoNDQ0qLi5WcnIy58kFuDV2BRQVFWn79u363e9+p2uvvdbenpiYqLa2NrW0tPjUNzU1KTEx8Qqv8soKDw/Xl7/8ZU2YMEFLly7VuHHjtHr1amN7Ul9fr+bmZt14443q27ev+vbtq127dmnNmjXq27evEhISjOzL+eLi4vSVr3xFf/zjH409TyQpKSlJI0eO9Nk2YsQI+7Zhx/Ff+FSUCb35y1/+ot/+9rf6/ve/b28z9VyZPXu25s6dq9zcXI0ZM0bf/e539dhjj2np0qWSzD5PLkQQCiLLslRUVKRXX31VO3fuVGpqqs/4hAkTFBYWppqaGnvb4cOHdezYMWVkZFzp5XYrr9er1tZWY3syadIkHThwQA0NDfY/aWlpysvLs//dxL6c7/Tp0/rv//5vJSUlGXueSNItt9zi9zUcH3zwgYYOHSpJSk1NVWJiok9v3G63amtre31vNm7cqMGDB2vq1Kn2NlPPlbNnzyo01Pc/8X369JHX65Vk9nnip7s/rd2bPfroo1ZsbKz1xhtv+DzaefbsWbvmkUcesYYMGWLt3LnTqqurszIyMqyMjIxuXHXwzZ0719q1a5d19OhR67333rPmzp1rhYSEWNXV1ZZlmdmTzpz/1JhlmdeXf/u3f7PeeOMN6+jRo9bbb79tZWZmWoMGDbKam5styzKvHx327t1r9e3b13rqqaesI0eOWJs3b7aio6OtX/ziF3bNM888Y8XFxVm/+tWvrPfee8+65557ev1j0e3t7daQIUOsxx9/3G/MxHMlPz/f+sIXvmA/Pv/LX/7SGjRokDVnzhy7xsTzpDMEoSCS1Ok/GzdutGs++eQT6wc/+IEVHx9vRUdHW/fee6/1t7/9rfsWfQU8/PDD1tChQ63w8HDrn/7pn6xJkybZIciyzOxJZy4MQqb15b777rOSkpKs8PBw6wtf+IJ13333+XxXjmn9ON+vf/1ra/To0VZERIQ1fPhwa/369T7jXq/XWrhwoZWQkGBFRERYkyZNsg4fPtxNq70yXn/9dUtSp8dp4rnidrutWbNmWUOGDLEiIyOtL37xi9b/+3//z2ptbbVrTDxPOhNiWed9zSQAAIBB+IwQAAAwFkEIAAAYiyAEAACMRRACAADGIggBAABjEYQAAICxCEIAAMBYBCEAAGAsghAAADAWQQgAABiLIAQAAIxFEAIAAMb6/zVTRlp5y34pAAAAAElFTkSuQmCC\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"df.Age.value_counts()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/"
},
"id": "NsZtHHMMSo0D",
"outputId": "29ffc518-64b7-4660-85a9-73ba8736ba56"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"Age\n",
"24 25960\n",
"23 24256\n",
"22 20964\n",
"25 20636\n",
"21 16457\n",
" ... \n",
"81 56\n",
"82 29\n",
"83 22\n",
"84 11\n",
"85 11\n",
"Name: count, Length: 66, dtype: int64"
]
},
"metadata": {},
"execution_count": 60
}
]
},
{
"cell_type": "code",
"source": [
"df.hist(bins=30, figsize=(8,8))\n",
"plt.tight_layout()\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 807
},
"id": "0LhE-1aFTEpo",
"outputId": "4bba9809-7982-4816-eb6c-c3979d4bc366"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 800x800 with 9 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"Note, that not all data types here are correct. We will work with them in future lessons!"
],
"metadata": {
"id": "C8dKZuU7TTGX"
}
},
{
"cell_type": "markdown",
"source": [
"**Box plot** is very useful plot. It visualizes the main characteristics such as median, percentiles, min and max values of features."
],
"metadata": {
"id": "i8O864B7UT7H"
}
},
{
"cell_type": "code",
"source": [
"categorical_cols =['Gender', 'Vehicle_Damage']\n",
"numeric_cols = [ 'Age', 'Vintage']"
],
"metadata": {
"id": "DD5sHQZRTqwb"
},
"execution_count": null,
"outputs": []
},
{
"cell_type": "code",
"source": [
"from tqdm import notebook\n",
"\n",
"def plt_box_plot(dataset, columnName):\n",
" \"\"\"\n",
" Plots boxplots for column given as parameter.\n",
" \"\"\"\n",
" dataset.boxplot(by=\"Response\", column=columnName)\n",
" plt.tight_layout();\n",
"\n",
"for column in notebook.tqdm(numeric_cols, desc = \"Our charts are being ready\"):\n",
" plt_box_plot(df, column)"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 999,
"referenced_widgets": [
"1845150ab5c84ed0869bdc2e8c36a00f",
"9439fba53314464bb17d3e9ababb05e2",
"fdd4165107f44487b1d0c5583c489605",
"1d7a630839464f0ca4308cb5dd28100f",
"9bd0fe1d65ce46eabb86da3f63a7e298",
"035fba30d0e04288bb893a105d9ec4f0",
"1cdbcfd65e474a41a0b314a3c39a0507",
"74dd52e50fdc4e69b9cc5426fae04716",
"02fd0aeafff94fc7a3b1f39928ce6ff0",
"64b15a198f0c44109330e54f31559c27",
"2d74f0911de54b079fdcd11eeb624cdf"
]
},
"id": "PQkYNBBITzlg",
"outputId": "fa38ed9c-3204-4e3c-9f41-fcbbe7f9f6e5"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"Our charts are being ready: 0%| | 0/2 [00:00<?, ?it/s]"
],
"application/vnd.jupyter.widget-view+json": {
"version_major": 2,
"version_minor": 0,
"model_id": "1845150ab5c84ed0869bdc2e8c36a00f"
}
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"df.boxplot(column=\"Age\", by=[\"Vehicle_Age\", \"Response\"], figsize=(10,8))\n",
"plt.tight_layout()\n",
"plt.show()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 806
},
"id": "VE8lsER7Uw5l",
"outputId": "7cf53b33-fb00-4c31-ae83-10ffbaf7ce47"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 1000x800 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"Simple linear plot directly from DataFrame"
],
"metadata": {
"id": "6BfvXWrsVCJI"
}
},
{
"cell_type": "code",
"source": [
"df.Annual_Premium[:20].plot();\n"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 449
},
"id": "DSMxg3UTVFyK",
"outputId": "3047df03-2a67-4461-b631-969b9576919d"
},
"execution_count": null,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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croIQQEF2Yp+dbIFMjoaDnF7axzub5e+wOlThgIPnffWKQQ4RacbRKl8goYR6HMl4f5BT1diOuuaOCK8muNbLXVWZfV4bmJWj3Tftno5zuFBGohUjUuNYl9MPDHKISDOOKeDMqgvFW4zIT4kF4GslV4uGVqe8nTK3j60qILBdpemanH5mcgBuWfUXgxwi0oziat+biJKCHKBzXY56Jh9vPFwNt1dgfEYC8lN7rzEBuF3ldHtxus5XL9a/IMd/WGcpg5zeMMghIs04poCDObszKcs3FFBNHVbSVtXcfmxVAZ1OItdokHO6rgUer0C8xYgMW/et9p0VjpTqchpZl9MLBjlEpAmOVpc8g2Rset9/KYeT2oqPm9pd+Ph4LQBg7pS+t6qAzt1V2nzDDtTjxEGn63sSd5rNipHD4iAE8Hkp63J6wiCHiDRBGgI43B6DBGvPM0giQdquKjnXjHYVHGuw+WgNnB4vRg6Lw5h+bL0AgcJjrW5XBSYd9z8Al+tyeMRDjxjkEJEmFCuw6FiSlmBBSpwZXhEYVhjN5K6qSRn9ykoAgZoczWZyzvWvs6ozKcjhYZ09Y5BDRJpQrMD2cYlOp1PNUMA2pwdbi88B6H89DhDYrmpsd8Gj4sNKezKQzirJ5SN8xceHKxvh0Ghw2BcGOUSkCceqfG8iSjnO4UJSXc6hiujusNp27BzaXB5kJ8Vg8nBbv79OKjwWAmjUWCGt1ytQUtMCYGBBTprNilH+upyd7LLqFoMcIlI9IYSiDubsjpzJifLi4/UHKwEMbKsK8B1WmmAxAtBeh1WFow1tLg9MBh3ykmMH9LWBLSsWH3eHQQ4RqV51YwccbS4Y9DqM6uNcoEiRDuo8WtUUtds1HW4PNh2pAdD/rqrOEjValyMVHeenxMFoGNjbMutyescgh4hUT8rijEiNg8VoiPBqujciNR5Wkx6tTg9O17VEejmDsv1EHZo63Ei3WXBJTtKAv16rHVaBgzkHPtpACnKOVDVq7vvWHwxyiEj1pCGA4xS6VQUABr0O4zKiu/j4ff9WVdGkDOj1/d+qktg1mskpGURnlWRYggWj0+L9dTncsroQgxwiUj2l1+NIonkooNvjxcbD1QCAOf04q6o7Ws3kDKbouDP5iAduWV2EQQ4RqZ40e0aJM3I6k4qPo/F4h52l51Hf6kJynBkz85MHdR+B86u0lck5MYj28c4KR6YCYPFxdxjkEJGqebwCx2uiI8iZFMWzcqStqpsmpg+4eFYSONpBO5mc8y1OnG/xPd+RwwZXFD/Ln8k5UtmI+hbtfO/6g0EOEala+flWtLu8sBj1yB1ge264jc9IgE4HnGvqQE1Te6SX029er8CGQ76tqqJBblUBgZocLWVypKLj4fYYxJqNg7qP1HiLfHwG63K6YpATAkIInKqNzu4IIrU56t+qGpMeD8MgimHDKdZsxIhU31/zRyqj53iH3WX1ONfUgQSrEVeOSh30/SRpMJMzmDOrusNW8u4xyAmy8y1O3LbyU8x9/mOmDYkU4Jh0ZlV6/6fvRlI0Fh9LZ1XNnpAOs3Hwbyta7K6S28cH0VnVWeEoBjndGVKQ86tf/Qo6nQ5LliyRP9fe3o5FixYhJSUF8fHxWLBgAaqrq7t8XVlZGebNm4fY2FikpaXh4Ycfhtvt7nLN1q1bMX36dFgsFowePRqrVq266PFXrlyJ/Px8WK1WzJo1C7t27RrK0wmKpFgTvEKgzeXBqu2nIr0cIs0LHMw5tDeRcAkUH0fH8Q5CiMCBnEPYqgK02V01mDOrujPTf47V0aomucaHhhDkfP755/jjH/+IqVOndvn8Qw89hDVr1mD16tXYtm0bKioqcMcdd8i3ezwezJs3D06nE9u3b8frr7+OVatWYdmyZfI1paWlmDdvHq6//nrs27cPS5Yswf33348NGzbI17zxxhtYunQpli9fjj179qCgoABFRUWoqakZ7FMKCp1OhwevHQ0AeH3HKbR0uPv4CiIKJWlGjtLbxyWTshIBRE/x8YGzDpxtaEOs2YBrxw4b0n1pebtqqEFOarwFY9N997GL51jJBhXkNDc346677sKf/vQnJCUFplo6HA688sorePbZZ3HDDTdgxowZeO2117B9+3Z89tlnAIAPPvgAhw8fxl/+8hdMmzYNc+fOxZNPPomVK1fC6fT9j/3SSy9hxIgReOaZZzBhwgQsXrwYX/va1/Dcc8/Jj/Xss8/ie9/7Hu69915MnDgRL730EmJjY/Hqq6/2uO6Ojg40NjZ2+QiFOZMzMCI1Dg2tLvx9V1lIHoOI+tbh9uCkvz5ufEZ0bVeV1rag1an8P5Le92dxrh+XBqtpaNOk7XG+7ap2lxftLs+Q16Z0rU43zja0ARh6kAMAhTzH6iKDCnIWLVqEefPmYfbs2V0+v3v3brhcri6fHz9+PHJzc7Fjxw4AwI4dOzBlyhSkp6fL1xQVFaGxsRGHDh2Sr7nwvouKiuT7cDqd2L17d5dr9Ho9Zs+eLV/TnRUrViAxMVH+yMnJGczT75NBr8MPrhkJAHj541I43d6QPA4R9e7kuRZ4vAI2qxHpNkukl9MvwxIsGJZggRCBommlCuZWFQAkWIxycbgWOqxOnvMF4MlxZiTHmYd8f1Lx8Y4SZnIkAw5y/vGPf2DPnj1YsWLFRbdVVVXBbDbDbrd3+Xx6ejqqqqrkazoHONLt0m29XdPY2Ii2tjbU1tbC4/F0e410H9157LHH4HA45I/y8vL+PelB+Or04Ui3WVDV2I539p4N2eMQUc/kouOMhAGdiB1p0VJ8XFzdhNLaFpiNelw/Pm3I96fT6WCPkYqP1b9lJXdWDXI+zoWkupzi6ibUNXcE5T6j3YCCnPLycvzoRz/CX//6V1it1lCtKWQsFgtsNluXj5A9ltGA+6/yZXNe+qgkak8VJopmR6OsHkcyMUqGAr5/wPdH5TVjhiHeMrgZLxcKdFipP8gJVtGxJCXeIp/PtovzcgAMMMjZvXs3ampqMH36dBiNRhiNRmzbtg2/+93vYDQakZ6eDqfTiYaGhi5fV11djYwMXyozIyPjom4r6d99XWOz2RATE4PU1FQYDIZur5HuQwm+OSsXiTEmnDzXgo2He84wEVFoSEXH4xU+6fhCUiZH6cc7BHOrShLosFL/dlUgkxO8zj+plXwHW8kBDDDIufHGG3HgwAHs27dP/rj00ktx1113yf9tMpmwadMm+WuKi4tRVlaGwsJCAEBhYSEOHDjQpQtq48aNsNlsmDhxonxN5/uQrpHuw2w2Y8aMGV2u8Xq92LRpk3yNEsRbjLi7MA8A8IetJRCC2RyicIqWgzkvJB3vcLSyEW6PMmv6Tp5rRnF1E4x6Hb4yIb3vL+gnLR3tEKzOqs54WGdXA8ovJiQkYPLkyV0+FxcXh5SUFPnz9913H5YuXYrk5GTYbDb88Ic/RGFhIS6//HIAwE033YSJEyfi29/+Np566ilUVVXh8ccfx6JFi2Cx+AoDH3jgAfz+97/HI488gu9+97vYvHkz3nzzTaxbt05+3KVLl+Luu+/GpZdeipkzZ+K3v/0tWlpacO+99w7pGxJsd1+Rj//7+CS+POPA9pI6XDl68NNAiaj/mjvcOFPv61xR+plVF8pLiUOs2YBWpwen6lowOk1565e6qgpHpSDRv8UUDFo5pNPt8eJU3dBOH+/OzBG+TM6x6mbUNncgNT46Cu5DJegTj5977jnccsstWLBgAa655hpkZGTgrbfekm83GAxYu3YtDAYDCgsL8R//8R/4zne+g5///OfyNSNGjMC6deuwceNGFBQU4JlnnsHLL7+MoqIi+ZqFCxfiN7/5DZYtW4Zp06Zh3759WL9+/UXFyJGWEm/BNy7LBQD8YeuJCK+GSDukouN0m0XODkQLg14nb7EpdctK2qqaOzkzqPebFKeNgYCnz7fC5RGIMRmQlRgTtPtNjjPL/+/sZCv5wDI53dm6dWuXf1utVqxcuRIrV67s8Wvy8vLw3nvv9Xq/1113Hfbu3dvrNYsXL8bixYv7vdZIuf/qEfjLZ6fx6Yk67C9vQEGOPdJLIlK9aBsCeKGJWTbsKWvA4cpG3DZteKSX08WZ+lYcOOuAXgfcNCm4f1hq5WgHaatq5LA46IN8ptrlI1NwtKoJn52sw7ypwQ1Cow3PrgqD7KRY3DotCwDw4taSCK+GSBvk4xyiNcjJ9E8+VmAmR8riXJafHPTtEHuMNjI5we6s6oyHdQYwyAmTB68dBQDYcLhKjuCJKHSKqwIzcqKR3EZe0ai4poXAVlXwu1mTNJbJGerBnN25fGQydDrgeI2vLkfLGOSEyZj0BHxlYjqEAP7vI2ZziEKt8yDAaDQ+IwF6HVDX4kRNk3LeqGoa27G7rB4AMCfI9TiAdrqrSkLQWSWxx5rlY0y0ns1hkBNGD17ny+a8vfcsKh1tEV5Nz8rqWuFSaNsqUX/UNnegttkJnS40byLhYDUZ5PkpStqy2nCoCkIAl+TakZEY/KGwSXHq764SQqDkXPA7qzpjK7kPg5wwmp6bhMtHJsPlEXj549JIL6dbr31aimue3oKn1h+N9FKIBk0qOs5NjkWsOTiTeCNBiZOPpdbxOZNCM3g1MAzQCa9KJ8VXNbajucMNg16HvJTgHOlwoct5WCcABjlh9+B1owEAf99VhvoWZaVjj1U3YcX7vuDmn7vPMJtDUSvai44lSjvD6nyLEzv9xwUEu3VcInVXeQXQ1KH8U9gHQ6rHyUuOhdkYmrfhWSN8dTknappR09QekseIBgxywuyaMamYlGVDq9OD13ecivRyZC6PF0vf3CefmF7f6uJJthS1or0eRyJlcg5VOCK8Ep+Nh6vg8QpMzLQhNyU2JI9hMRoQazYAUG+HlVSPMyqEW6n2WDMm+OtytDwvh0FOmOl0Ork2Z9X2U2h1KuMvld9vPoGDZxuRGGPCTRN9cy/WfVkZ4VURDU60Hsx5ISmTc6quFc0KyGq8H8Kuqs4CJ5Grsy7nRAjbxztjKzmDnIiYOzkT+SmxaGh14e+7yiO9HHx5pgG/3+Kbxvzk7ZNxz5X5AID1h6q4ZUVRRwgRtQdzXigl3oIMm6+492iE63IcbS58eqIWADB3SoiDHJV3WIWyfbwz6bBOBjkUVga9Dj/wz815+eOT8hZRJLS7PFj65n54vALzpmbi1oIszBqRgtR4c5dfakTR4mxDG1qcHpgMOuSnhqaoM5yUUny85WgNXB6B0WnxIT9LK9BhpdYgJ7SdVZKZ+b66nJJzLahp1GZdDoOcCLlj+nCkJVhQ6WjHO/vORmwdv9lQjBM1zRiWYMEvbvMdsmrQ6+SiQm5ZUbSR6nFGDYuHyRD9v+KUUnz8/kHf74JQb1UBnTI5LerbrnK0uuQBfSOHhTYIT4w1yf//fFaqzbqc6P8NEKUsRgPuv3oEAOClbSURaZX87GQdXvnU18r+6wVT5IPxAMjnnWw4VBXRTBPRQKmlHkcSKD6OXJDT6nRj27FzAIA5YQhy5JPI29QX5Jw45/v/M8NmRYI1eKe396RQ43U5DHIi6Fuz8mCzGnHyXAs+OFwV1sdu7nDjJ6v3Qwhg4aU5uGF810P2LstPxrAECxrb3dyyoqhyLMqPc7iQ9Jd4cXVTxGrkthafQ7vLi9zkWHk9odR5Vo7alIRpq0oiFx9rtFuWQU4ExVuMuPuKfAC+gzvDeT7NL9cdxpn6Ngy3x+DxWyZcdLtBr8PN/r/Y1nxZEbZ1EQ1VcbWvqDPaZ+RIcpNjEW8xwun24qR/Sm64yQMAJ2dApwvuidndCRQeqzGTE57OKsll/nk5J2tbUK3BuhwGORF2zxX5sJr02H/GEba5NFuO1shdXb+5s6DHlOm8qb6T0zceqkaH2xOWtRENhcvjlWeQqCWTo9frMCHT91wOV4Z/Xk67y4PNR6oBhGerCgi0kKsxk3MiDDNyOkuMMWFSlnbPsWKQE2Ep8RYsvDQHAPCHraE/uLOh1YlH//UlAOC7V46QWwy7c2leEtJtFjR1uPHxMW5ZkfKdrmuB0+NFnNmA4faYSC8naCJZfPzhkWq0OD3IsFkxLdselseUuqvU2EIervbxzrRcl8MgRwG+d81IGPQ6fHKiFl+eaQjpYz3x7iHUNHVg1LA4PDJnXK/X6vU63DzF32V1gF1WpHzFVb43kDHpCdDrQ7+tEi6RaiNvc3qw4j3fUS93Xpodtu+pWrur2l0elNe3AgBGpYVvvIGWz7FikKMA2UmxuK3AtzX0YgizOWu/rMCa/RUw6HV49uvTYDUZ+vyaW/xdVhsPV6PdxS0rUrbiKl8QoJZ6HMnEzEQAvg6rcNburdxyAmcbfLV70qT2cFBr4fHJcy0QArBZjRgWbwnb4142Ihl6HVBa24Iqh7bqchjkKMQD/l8g6w9VocRfmBZMNY3tePydgwCARdeNQkGOvV9fd0lOEjITrWjucOMjfwspkVJJB3OOVUk9jmRMejwMeh0aWl2oDNObVMm5ZvzxI98fXU/cMjGsp7lLLeQtTo+qRliUdCo6DkcBt8RmNWHycF+gvLNUW1tWDHIUYmx6AmZPSIcQwB+3BTebI4TAf791AA2tLkzKsmHxDWP6/bXcsqJocszfWRXtxzlcyGoyYIy/UDUcdTlCCCx/9xBcHoHrxw1D0aT0vr8oiGxWE6QYoKFNPdkcuR4nTEXHnUlbVlo7eJlBjoJI6eC3955FpaMtaPf7xufl2Hy0BmajHs8tnAazcWAvuzQY8ENuWZGCtbs8OFXna7FWyyDAzuTi4zDU5az9shKfnKiF2ajHT2+dFNasA+D74ypR7rBST11OuNvHO7t8ZDIA7RUfM8hRkBl5SZg1Ihkuj8ArH5cG5T7Lz7fiybWHAQA/uWnsoH75X5Jjx3B7DFqcHmwt5pYVKdPx6mYIASTHmZEab+77C6KMXHwc4kxOc4cbv1jn+52x6LrRyEuJzPlfSXLxsXoyOSURzORcmu+ryzlV1xrUP6KVjkGOwkjZnL/tKhvyD7fXK/CT1fvR4vRgZn4y7rtq5KDuR6fT4Wb/qcPcsiKlkupxxqUnhD3zEA5SJudQiGfl/HbjMVQ3diAvJRY/uHZwvzOCwR4rtZGrI5Pj8QqcrPVlGkeFsX1cYrOaMMVfl6OlbA6DHIW5duwwTMy0odXpwZ93nB7Sfb36aSl2lp5HrNmA39xZAMMQ2j+lwYCbjlSjzcktK1Ie6WBOtQwBvJCUySk/3wZHiM50OlrViNe2nwIA/OzWSf3qwAwVtXVYnalvhdPthdmoR3ZSbETWEDjiQTut5AxyFEan08nZnFXbS9HqdA/qfk7UNOGpDcUAgP+dNwG5KUP7oSrITkR2UgxanR5sKa4Z0n0RhYLaDua8kD3WLA84PBqCuhwhBJ545yA8XoG5kzNw3bi0oD/GQNhVdkinVHQ8MjVuSH9wDoUc5Giow4pBjgLNnZyBvJRY1Le68A//8QsD4fJ4sfTN/XC6vbh27DB8a2bukNek0+nkAuR1X3LLipRHbQdzdmdCCIuP/7XnLD4/VY9YswFP3DIx6Pc/UHJNjkoyOZHsrJJcmp8Eg16H03WtqGjQRl0OgxwFMhr0+ME1vmzOyx+fHPCciD9sKcGXZxywWY349YKpQatPuGWKf8vqaPWgM0xEoeBodaHKf/jg2PTIvYmEWqiKjx2tLqx47wgA4Ec3jkGWAo7EkGblNKhk6rESgpyETvNytFKXwyBHoe6YPhzDEiyocLTj3X1n+/11B8448MLm4wCAJ2+fjIxEa9DWNHm4DbnJsWh3ebH5KLesSDmO1fiyOMPtMT0eOKsGoWojf/qDo6hrcWJMWjy+e9WIoN73YCWqLZPjbx+PRNFxZ1prJWeQo1BWkwH3+3/ZvLStBF5v36Pc210eLH1zH9xegZunZOBW/1ERwcItK1KqQD2OerM4AOTTpI9VNwVtEvD+8gb8dWcZAODnt02GyaCMtwU5k6OC7iohhCIyOUDnwzq1UXysjP+bqVvfmpULm9WIknMt+OBwdZ/XP7vxGI7XNCM13oJf3D4lJG208/zTjzcfrUFLB7esSBkC9Ti2CK8ktLKTYpBgNcLlCbxpDoXHK/DEuwchBPDVS4ajcFRKEFYZHGqqyTnX3IGmdjf0OmBEamTmDkkuzU+GQa9D2flWnNVAXQ6DHAVLsJrwncJ8AMCL20p6PZhvV+l5/OnjkwCAX90xBclxoRmGNinLhvyUWHS4vdjELStSCHlGToa6Mzk6nS6oW1Z/31WGL884kGAx4rGbxw/5/oJJTXNypIA0Jzk2om35ABBvMQbm5WjgiAcGOQp3z5X5sBj12F/e0OOZIy0dbvxk9X4IAdw5IxuzJ4bunJmuW1YVIXscov4SQqBY5e3jnQWr+Li2uQNPrT8KAPhJ0TikJQSvfi8YpEyOo80Z1pPXQ0GedBzhehyJ3EqugbocBjkKlxpvwcLLcgD4sjnd+eV7R1B2vhXD7TFYNj/0rZ/z/F1WW4rPoZlbVhRhNU0dcLS5YNDrIl7UGQ6BTM7QJh//6v2jaGx3Y1KWDf9xeV4wlhZUUpDj8gi0RPkAUqXU40ikbckdDHJICb539UgY9Dp8fLwWB850/cW2tbgGf/MXDT5959SwdJZMyEzAyNQ4ON1efNiPWiGiUJKyOPkpkd8KCIfOmZzBZjg+P3Ue/9x9BoCvCzNSw+l6E2M2wOI/TDjaz69SSmeV5NI837ycM/VtKD/fGunlhBSDnCiQkxwrd0q9uO2E/PmGVice/deXAIB7rsjHFaNSw7KezltWa9llRRFWrIEhgJ2NSUuAyaBDY7sbZ+oHXjjq9njxxDsHAQDfnJmD6blJwV5i0NhV0mElZXJGKSSTE2cxYmq2ry5nZ6m6u6wY5ESJB671DQd8/2AVTvr/Klj27iFUN3ZgZGocHp0T3qLBW/xnWX107Bwa26P7FxBFN6noWAv1OABgNuoxOs33XAdTfLxq+ykcrWpCUqwJjxQpq9j4QmrosGpqd6G6sQOAcrargM6t5OresmKQEyXGZSRg9oQ0CAH8cdtJrPuyEv/eXwGDXodnF05DjDm8afqx6fEYnRYPp4dbVhRZ0sGc4zWSyQEC83IGWnxc5WjHcxuPAQAenTMeSSHqwgyWQIdV9AY5Jed8J48PS7AgMUY5gyql4uOeGlrUgkFOFJEO7nxr7xn87zsHAAD/ed0oTMuxh30tOp1OnpnDwYAUKV6vkIMcrWRygMFPPv7FusNocXpwSa4dX780JxRLC6rASeTRmy0+obDOKsmMvCQY9TqcbWjDkRCchaYUDHKiyIy8ZMwckQyXR6Ch1YVJWTb88IYxEVuPVJfz0fFzcKjkpGCKLmXnW9Hu8sJi1CMvJbJD1sJpMG3knxyvxdovK6HXAb+4fTL0Ciw2vpBdTUGOgraqAF9djvQH8rzffYz7X/8CW47WwNOP6frRhEFOlJGyOWaDHs9+fRrMxsi9hGPTEzA2PR4uj8BGbllRBEj1OGPS4xXZIRQq0mnkZxva0NCPrZwOtwfL3vUVG3+nMB+TshJDur5gSVLBdpVcdDxMeUH4E7dMxKwRyfAK4MMj1bh31ee45qkt+N2m46hytEd6eUHBICfKXDd2GJ7+2lS8du9liugmkWbmcDAgRcIxDQ0B7CwxxoTsJN9J4f3Zsnr541KcrG3BsAQLlt40NtTLC5rAdlX0Bjkl56RMjvL+Hy3IseONHxTiw6XX4v6rRsAea8LZhjY8u/EYrvz1Znzvz9Gf3WGQE2V0Oh3uvDQHV44OT7t4X+ZNzQAAfHy8Fo4oTilTdDoqHeegsSAH6H/xcfn5Vryw+TgA4H9vngBbFJ3SnhjlRzt0uD0o88+hUdp2VWej0+Lx+C0T8dljN+K3C6dh5ohkeLy+DH3n7E51Y/Rldxjk0JCMTkvA+IwEuL0CGw5VRXo5pDHHNDYjp7OJmb4tp74yOT9bcxjtLi8uH5mM26ZlhWNpQRPtmZzTda3weAXiLUak2yyRXk6frCYDbr9kON78QSE+XHoN7rsgu3PFrzbj+3/+AluKoye7wyCHhkzqslp7gF1WFD4dbg9Ka33tuZoMcvqRyfnwcDU+PFINo16HJ2+bDJ0uuuqWkqI8k9N5CGC0fe9HpyXgCX9257mFBZiZ78vufHC4Gve+5svuvBAF2R0GOTRkUpfVpydqo378OkWPk+da4PYKJFiNyLAp63DJcJCCnBM1zehwX3y2U5vTg5+uOQQAuP/qkRgThVt69ijP5Ci56Li/rCYDvnpJNt58oBAbH7oG371yBBJjfNmdZzpld7YqNLvDIIeGbOSweEzMtMHDLSsKo2Od6nGi7a/kYMhKtCIxxgS3V+B4dfNFt/9h6wmcqW9DVqIV/3Xj6AiscOikTE5juxtujzfCqxk4pbaPD9aY9AQsmz8RO//Hl925LD9Jzu7c48/u/H7zcdQoKLvDIIeCQsrmrOOWFYWJ1s6supBOpwsMBbxgy+rkuWb8cdtJAMCy+RMRazaGfX3B0HlCcDTO4pI7qxQ2CHCopOzO6geuwAcPXYN7r8yHzWrE2YY2/OaDYyj81Wb84P99gW3HzsEb4ewOgxwKCqkuZ3tJHeqaOyK8GtICOZOj0SAH6NRh1an4WAiB5f8+BKfHi+vGDUPRpIxILW/IjAY9bFZfgBZtdTler+jUPq6uIKezsekJWD5/Enb972w8c2cBLs1L8mf1q3H3q7twzdNbcPCsI2LrY5BDQZGfGofJw23y/9xEoXZUozNyOuuu+Pi9A1X4+HgtzEY9fnbrpKjfyovWupyzDW1od3lhNuiRmxwb6eWEnNVkwIIZ2fjng1dgw5JrcM8VvuzO+RYn8lMjV5PEIIeCRh4MeICDAZXocEUjXvu0FE539NU2XKi5w40z9W0AtDkjRzKxUybH6xVo7nDjybWHAfjOtVPDURfR2mF1wp/FyU+NhdGgrbfacRkJ+Omtk7Dzf2bj/903C/GWyG2Xaus7TyElbVntKKlDLbesFEUIgcV/24OfrTmM/++9I5FezpAd929VpSVYFH+SdiiNGhYPs0GP5g43yutb8fyHx1DV2I68lFg8cO2oSC8vKKRMTrQd7VAid1apd6uqLzFmA2bkJUV0DQxyKGhyU2IxNTsRXgGsP8guKyXZU1aPk/6ZMqu2n8IHUd4Fp/WiY4nJoMfYDN+b6Nt7z+LVT08BAH566yRYTYYIrix4pExOtE1UV1tnVbRikENBJQ8G5FlWivLP3WcAQC7ifPifX+JsQ1sklzQk0sGcWq7HkUgdVs9vOg6PV2DOpAxcPy4twqsKnqjN5Gig6DgaMMihoLrZH+TsLD2PmiblzErQsjanB2v3+1r7V941HQXZiXC0ufCjv++NytkjADurOpNOFBcCiDEZsGz+xAivKLiS5CAnOjM5Wt6uUgIGORRUOcmxKMixQ3DLSjE2HKpCU4cbOckxuHJUKl745nQkWIz44nQ9nvvwWKSXNyjydhUzOXLxMQD8141jkGWPieBqgs/u366Kpu6quuYO1Le6oNMxyIk0BjkUdPOnSltWHAyoBNJW1YLp2dDrdchNicWKBVMAAH/YWoJPjtdGcnkDVtvcgdpmJ3Q6YEw630CmDE/EqGFxuDQvCfddNSLSywk6u9xdFT1BjpTFGW6PQYxZHbVR0YpBDgXdXP+W1eenziv+8Da1O9vQhk9LfEHMgunZ8udvmZqFb87MhRDAkjf24VxT9HTDSVtVucmxUTvJN5isJgM+XHot3vxBIcxG9f1KD5xEHj3bVVL7OLM4kae+nwiKuOH2GEzP9W1Zvc9jHiLq7T1nIARQODIFORcMJFt2y0SMTY9HbXMHlr65L+Lj1/vrGIcAXkSn00Gvj+6hfz1JisLCY3ZWKQeDHAqJeVOlwYAMciJFCCFvVX1tRvZFt8eYDVj5remwmvT4+HgtXvqoJNxLHJTiatbjaEmgJid6Mjkl53zjGhjkRB6DHAqJm6f4zsv5/FQ9qhzcsoqE3afrcaquFXFmA+ZO6f78ojHpCfjZrZMAAM98cAy7T58P5xIHhTNytEUa9tjh9qLN6YnwavqnhJkcxWCQQyGRmRiDS/2TLt9jNiciVn/hy+LcPCWz19qVr1+ag1sLsuDxCvzX3/cpuotFCIFj1b43EAY52hBnNsBk8G3FRcOWVUuHW55BpbbTx6MRgxwKmXn+LituWYVfq9Mtf9+726rqTKfT4ZdfnYy8lFicbWjDI//8EkIosz7nbEMbmjvcMBl0yFfBuUzUN51Oh8SY6KnLOenfqkqJM2v6yBGlGFCQ8+KLL2Lq1Kmw2Wyw2WwoLCzE+++/L9/e3t6ORYsWISUlBfHx8ViwYAGqq7ueSF1WVoZ58+YhNjYWaWlpePjhh+F2u7tcs3XrVkyfPh0WiwWjR4/GqlWrLlrLypUrkZ+fD6vVilmzZmHXrl0DeSoUBnMnZ0Kn822bVETxdN1otOFQFZo73MhNjsVl+cl9Xp9gNeGFb14Ck0GHDw5X4/99djoMqxw4qbNqZGq8KjuJqHtJUVSXc+Kc7/9RdlYpw4B+S2RnZ+NXv/oVdu/ejS+++AI33HADbrvtNhw6dAgA8NBDD2HNmjVYvXo1tm3bhoqKCtxxxx3y13s8HsybNw9OpxPbt2/H66+/jlWrVmHZsmXyNaWlpZg3bx6uv/567Nu3D0uWLMH999+PDRs2yNe88cYbWLp0KZYvX449e/agoKAARUVFqKmpGer3g4IoI9GKy/J8b7DcsgqvC2fj9MfUbDv+e+4EAMAv1h7BoQpHyNY3WMVV3KrSomjqsJInHbMeRxEGFOTMnz8fN998M8aMGYOxY8fil7/8JeLj4/HZZ5/B4XDglVdewbPPPosbbrgBM2bMwGuvvYbt27fjs88+AwB88MEHOHz4MP7yl79g2rRpmDt3Lp588kmsXLkSTqfvf96XXnoJI0aMwDPPPIMJEyZg8eLF+NrXvobnnntOXsezzz6L733ve7j33nsxceJEvPTSS4iNjcWrr77a6/o7OjrQ2NjY5YNC65YCDgYMtzP1rdheUgcAWDBj+IC+9rtX5mP2hDQ4PV788G970dLh7vuLwojHOWhTYCCg8jM5JTXsrFKSQed7PR4P/vGPf6ClpQWFhYXYvXs3XC4XZs+eLV8zfvx45ObmYseOHQCAHTt2YMqUKUhPT5evKSoqQmNjo5wN2rFjR5f7kK6R7sPpdGL37t1drtHr9Zg9e7Z8TU9WrFiBxMRE+SMnJ2ewT5/6ac7kDOh0wL7yBpSfb430cjTh7T1nIQRwxagUZCfF9v0Fneh0Ojz9tQJkJlpxsrYFT7xzMESrHJyjnJGjSVImxxENmRwezKkoAw5yDhw4gPj4eFgsFjzwwAN4++23MXHiRFRVVcFsNsNut3e5Pj09HVVVvjOMqqqqugQ40u3Sbb1d09jYiLa2NtTW1sLj8XR7jXQfPXnsscfgcDjkj/Ly8oE+fRqgtAQrZo3wbVm9f5DZnFATQuCfe3qejdMfSXFmPP+NS6DXAW/tPStvfUWa2+OVW3PHM5OjKfa46MjkuDxenKplJkdJBhzkjBs3Dvv27cPOnTvx4IMP4u6778bhw4dDsbags1gsctG09EGhJw8G5JZVyH1+qh6n/bNx5kzufjZOf8wckYyHZo8FADzxzkG5ziCSTtW1wunxItZswHCVHUJJvYuWmpzTda1wewViTAZk2qyRXg5hEEGO2WzG6NGjMWPGDKxYsQIFBQV4/vnnkZGRAafTiYaGhi7XV1dXIyPD98s2IyPjom4r6d99XWOz2RATE4PU1FQYDIZur5Hug5RlzqQM6HXA/jMOblmF2D93+7KT86b2PhunP/7z+tG4YlQK2lweLP7bHrS7IjuITRoCOCY9QbVHGFD37DHR0V0VKDqO4/+jCjHkHkyv14uOjg7MmDEDJpMJmzZtkm8rLi5GWVkZCgsLAQCFhYU4cOBAly6ojRs3wmazYeLEifI1ne9Duka6D7PZjBkzZnS5xuv1YtOmTfI1pCzDEiy4fGQKAM7MCaVWp1vOln1txtDrzQx6HX67cBpS4sw4WtWEX647MuT7HIrAcQ7cBtAae5Rkckqkehy2jyvGgIKcxx57DB999BFOnTqFAwcO4LHHHsPWrVtx1113ITExEffddx+WLl2KLVu2YPfu3bj33ntRWFiIyy+/HABw0003YeLEifj2t7+N/fv3Y8OGDXj88cexaNEiWCwWAMADDzyAkydP4pFHHsHRo0fxhz/8AW+++SYeeugheR1Lly7Fn/70J7z++us4cuQIHnzwQbS0tODee+8N4reGgkkeDMgtq5BZf7AKLU4P8lJicVl+UlDuM81mxTNfLwAA/L/PTkf0wNVj8nEO3GbWmmiZk8PjHJRnQPnsmpoafOc730FlZSUSExMxdepUbNiwAV/5ylcAAM899xz0ej0WLFiAjo4OFBUV4Q9/+IP89QaDAWvXrsWDDz6IwsJCxMXF4e6778bPf/5z+ZoRI0Zg3bp1eOihh/D8888jOzsbL7/8MoqKiuRrFi5ciHPnzmHZsmWoqqrCtGnTsH79+ouKkUk55kzKwBPvHMSBsw6cqm1Bfiqn1QabfBjn9GzodMFLlV83Lg0/uHYk/rjtJB7515eYPDzxohPNw4EHc2qXNDlYyUeOAOysUiKdUOr89jBobGxEYmIiHA4Hi5DD4D9e3olPTtTi4aJxWHT96EgvR1XO1Lfiql9vgU4HfPLoDUEvzHV5vLjzpR3YV96AS3LtePMHhTAZwjdxuN3lwYRl6yEEsOt/b0RaAos6taSmqR0zf7kJeh1w4pc3K7LeRQiBycs3oMXpwYdLr8HoNAbjodTf92/ORaew4ZZV6Pxr91kAvtk4oeg8Mhn0eOGblyDBasTesgY888GxoD9GT+pbnHjlk1IIASTHmTEs3hK2xyZlsPvPrvIKoLFdmVtWlY52tDg9MOh1yE1mplopGORQ2MyZlAGDXofDlY341+4zaHNGtltHLbxegX/u8XVVDXY2Tn/kJMfiqQVTAQAvbSvBtmPnQvZYbU4P/r2/Avet+hyX/fJDPL2hGAAwLcce1K04ig5mox7xFl91hVJn5UidVXkpsTxXTUGG1mNKNABJcWZcPy4NHx6pxo9X78eydw/iKxPTMb8gC1ePGcZfDIP0+anzKD/fhniLEUWTQjtGYe6UTPzH5bn4y2dlWPrGPrz/o6uRFqR5IG6PF5+cqMW7+yqw4VAVWjsFwZOybLh92nB8/VJOKdeqxBgTmjvcqG91YgSUlylhZ5UyMcihsHrmzgK8uK0Ea/ZX4GxDG97ZV4F39lUgMcaEuZMzML8gC5ePTIFBgXvuSiUVHM+bMvTZOP3x+LyJ+OJUPY5WNWHJG/vw/+6bNejXSwiBPWUN+Pe+s1j7ZSXqWgKFpbnJsbhtWhZum5bF+gZCUpwJZxvaFFt8fIKdVYrEIIfCKjHWhP+eOx6PzhmHPWUNWLO/AusOVOJcUwf+8Xk5/vF5OVLjLbhlaibmF2Riem4Styd60dLhlmcPfe3S0G1VdWY1GfD7b03H/Bc+wfaSOvxhywn88MYxA7qPEzVNeHdfBd7dV4GyTgMiU+LMuGVqJm67ZDgu4dYUdSJPPW5R9nYVgxxlYZBDEaHT6TAjLwkz8pLwxC0TsfNkHdZ8WYH3DlShtrkDq7afwqrtpzDcHoNbCjIxf2oWJmXZ+KZ3gfUHfds6+SmxuDQvOLNx+mN0WjyevH0yfrJ6P5778BhmjUzBTP8ZZT2pcrTj3/vP4t19FThU0Sh/PtZsQNGkDNw2LQtXjU6FMYxdWxQ9pIGADW3KDHJK2D6uSAxyKOIMeh2uGJ2KK0an4me3TsYnJ85hzf5KfHCoCmcb2vDHbSfxx20nMXJYHOZPzcKt07IwivveADrNxpkR3Nk4/bFg+nB8eqIWb+89ix/9Yy/e+6+r5XkmEkerC+8frMQ7+85iZ+l5SAMrjHodrh07DLddMhxfmZCOGLMhrGun6BMYCKi87aqGVidqm33rGsnfTYrCIIcUxWzU44bx6bhhfDranB5sKa7Bmv0V2HS0BifPteD5Tcfx/KbjmJhpw/yCLMwvyER2UvgH0ylB+flW7DhZB50O+Or08GxVdabT6fDk7ZOxr7wBpbUtePifX+JP35mBDrcXm4/W4J29Z7G1+BycHq/8NZflJ+G2acMxb0rmRQERUW+UfLSDtFWVmWiVu8BIGfhqkGLFmA24eUombp6SiaZ2FzYersaa/RX4+HgtDlc24nBlI369/iim59oxvyAL86ZmampI3L/2+LI4V45Kjdip3PEWI37/rUvw1ZXb8eGRatz18k4cOONAU4dbvmZcegJuuyQLtxZkaTYgpaGTMjlKbCHnVpVyMcihqJBgNeGO6dm4Y3o2zrc4sf5gFdbsr8BnpXXYU9aAPWUNeHLtYVw+MgX/cXkebp6SGeklh5TXK+QgJ5SzcfpjUlYi/nfeBCz/9yFsL6kDAGQlWnHrtOG4/ZIsjOdZUxQEdgVvV8mnj3OrSnEY5FDUSY4z41uzcvGtWbmobmzHui8r8e/9FdhX3oDtJXXYXlKHXf9zY9DmtyjRrjDOxumP7xTmobHNhdrmDsybmoVL85IUOXqfopddwd1V7KxSLgY5FNXSbVZ896oR+O5VI1B+vhV3vrQDVY3tOFnbouogRyo4vmVqpiKKdnU63YDbyIkGQmohV2Qm5xwzOUrFXk1SjZzkWPkvqfJOs1fUpqXDjff8s3HuDNNsHKJIk7urFNZC3u7y4Ex9GwBmcpSIQQ6pSk6yr7BVzUHO+/7ZOCNS4zA9N3yzcYgiSdquanV60OFWzrl3JeeaIYTv2InUeHYMKg2DHFKVnGRfl1G5/y8rNVr9ReAwTg5HJK2wWY3y8SENCuqwKjnXAsCXxeHPo/IwyCFVyfVncspUmskpq2vFztLzvtk4lwyP9HKIwkan0yExRmojV05djlx0zHocRWKQQ6qSk6Tu7Sqpbfyq0anIitBsHKJIkdrIldRhVcLOKkVjkEOqImVyapo60O5Szr59MChpNg5RJCixw0qekZMWF+GVUHcY5JCq2GNN8lj1M/XqyubsLD2PM/VtSLAYcdPEyM/GIQo3pXVYuT1elNb6a3KGJUR4NdQdBjmkKjqdTu6wUltdjjwbpyBLEbNxiMJNaedXnalvg9PjhcWox/Akbh8rEYMcUp0c/y+b8vPq6bBq7jQbh1tVpFWBk8iVkckprfNlcfJT4uTOL1IWBjmkOmrssHrvQCXaXB6MTI3D9Fx7pJdDFBGBox2Ukckpq/P9jslL4cGzSsUgh1RHjQMBpa2qBZyNQxpmV9hJ5Kf8mRwGOcrFIIdUR22ZnNN1Ldjln41zx3TOxiHtUlp3lZTJyU1hZ5VSMcgh1ZGmHp+pb4MQIsKrGbp/7TkLwDcbJzORxY2kXYFMjjKCnNP+P6TymclRLAY5pDrZ/oGAzR1uxaS1B8vrFfjXbs7GIQICmRyHAlrIvV4hZ4vzkpnJUSoGOaQ6VpMBaQkWANFfl/NZaR3ONrQhwWpE0STOxiFtC2xXuSKepa1qbIfT7YVRr0OW3RrRtVDPGOSQKqmlLuefX/iyOPMLsmA1cTYOaZu0XeX2CjR1uCO6ltP+epzspBgYDXwrVSq+MqRKcodVFE89bmp34b2DnI1DJLGaDIjxB/sNET6/6rS/s4pFx8rGIIdUKdBGHr0DAd8/UIV2lxcjh8Xhkhx7pJdDpAhKKT4+LdfjsOhYyRjkkCoFph5Hbybnn50Kjjkbh8hHKUc7cBBgdGCQQ6qUG+XbVadqW7Dr1HnodcAdl3CrikiilKMdTp+XBgFyu0rJGOSQKknbVWfr2+DxRt+snLf2+LI4V40ZhoxEdm4QSZQwEFAIgdO1zOREAwY5pErpNivMBj3cXoFKR3TV5Xi9Qh4AeCcLjom6UMLRDvWtLrm7K5c1OYrGIIdUyaDXYbi/Lifa2sh3nAzMxvnKxPRIL4dIUZSQyZE6qzJsVo52UDgGOaRa0pbVmSjrsJIKjm/lbByiiyghk3NaPrOKWRylY5BDqpUThZmcpnYX3udsHKIeKaG7Sgpy2D6ufAxySLWiscPqvQOVaHd5MWpYHKZxNg7RRZTQXSV1VuWnsrNK6RjkkGrlROHRDoHZODmcjUPUDSVlclh0rHwMcki1cqNs6vGp2hZ8fqreNxtn+vBIL4dIkaRMjkMBNTlsH1c+BjmkWjlJvl9Atc0daHVG9jC//lh3wFeLc/WYYUi3cTYOUXek7qqmDjdcHm/YH7+lw43a5g4AQF4yt6uUjkEOqVZirAk2qxEAcKZe+dmc4qomAMAVo1IivBIi5bLFmCDt5EaiLkfK4thjTUj0Z5VIuRjkkKrJdTl1yq/LKTnXDAAYNSw+wishUi6DXofEGKn4OPx1OWXScQ6sx4kKDHJI1aKlw8rrFTh5zvfLc1Qagxyi3thjIjcrJ1CPw62qaMAgh1QtWjqsKhxtaHN5YDLo5Pk+RNS9SHZYnWLRcVRhkEOqlhMlHVYl/ixOfkocjAb+WBL1JpIdVtJ2FdvHowN/m5KqSVmRcoVnckpqfPU4o7lVRdSnpAhmcqTtKg4CjA4MckjVOtfkCCEivJqeseiYqP8C21XhzeQ43V5UNPiywiw8jg4MckjVhifFQKcDWp0e1LVEbkJqX+QgJ41/HRL1JXC0Q3h/ps/Ut8IrgBiTAcMSLGF9bBocBjmkahajARn+wXpK3rI6UePvrGImh6hP9rjIbFedPh8oOuaxK9GBQQ6pnjT5WKkdVo5WlzxBdSSDHKI+RaqFvIxnVkUdBjmkelKHlVKnHpfU+raqMmxWxFuMEV4NkfJJhcfh3q46VecfBMj28ajBIIdULyfZ12Gl1KnH7KwiGhi7XJMToUwOBwFGDQY5pHpKn3oszcgZNYy/OIn6IylOyuS4wto1KdXk5DOTEzUY5JDqKX3qcaCzipkcov6QuqucHi9anZ6wPKbXK+TfITx9PHowyCHVkzI5lY52uDzeCK/mYtJ2FTuriPonxmSA2eh7+wpXh1VVYzucbi+Meh2y7NawPCYNHYMcUr1h8RaYjXp4vAKVDe2RXk4XTrdXToEzyCHqH51OJ3dYhasuR5p0nJ0Uw6NXoghfKVI9vT5w6KXS6nLKzrfA4xWItxiRbuNwMaL+CvfRDqf9nVUsOo4uDHJIE5RalxMYAhjH4WJEAyB1WIVrVo48CJAzcqIKgxzSBLnDSmFBDs+sIhocKZPjCFMmR2of54yc6MIghzRBqVOP2VlFNDhJceHN5AQGAXK7KpowyCFNyJFn5Shr6nGgs4q/OIkGwh7GmhwhBDM5UWpAQc6KFStw2WWXISEhAWlpabj99ttRXFzc5Zr29nYsWrQIKSkpiI+Px4IFC1BdXd3lmrKyMsybNw+xsbFIS0vDww8/DLfb3eWarVu3Yvr06bBYLBg9ejRWrVp10XpWrlyJ/Px8WK1WzJo1C7t27RrI0yENkaYeK2m7SgjRaRAgMzlEA5EUxqnH9a0uNHX43qN4blV0GVCQs23bNixatAifffYZNm7cCJfLhZtuugktLS3yNQ899BDWrFmD1atXY9u2baioqMAdd9wh3+7xeDBv3jw4nU5s374dr7/+OlatWoVly5bJ15SWlmLevHm4/vrrsW/fPixZsgT3338/NmzYIF/zxhtvYOnSpVi+fDn27NmDgoICFBUVoaamZijfD1IpKZNzvsWJ5g53H1eHR01TB5o73DDodUyBEw2QPSZ8mRxpqyrDZoXVZAj541EQiSGoqakRAMS2bduEEEI0NDQIk8kkVq9eLV9z5MgRAUDs2LFDCCHEe++9J/R6vaiqqpKvefHFF4XNZhMdHR1CCCEeeeQRMWnSpC6PtXDhQlFUVCT/e+bMmWLRokXyvz0ej8jKyhIrVqzocb3t7e3C4XDIH+Xl5QKAcDgcQ/guULQo+NkGkffoWnG4Qhmv96fHz4m8R9eK65/eEumlEEWdDQcrRd6ja8Wtv/8k5I/19p4zIu/RteLOl7aH/LGofxwOR7/ev4dUk+NwOAAAycnJAIDdu3fD5XJh9uzZ8jXjx49Hbm4uduzYAQDYsWMHpkyZgvT0dPmaoqIiNDY24tChQ/I1ne9Duka6D6fTid27d3e5Rq/XY/bs2fI13VmxYgUSExPlj5ycnKE8fYoySuuwkoqOR3KrimjApPOrwtFdJQ0C5JlV0WfQQY7X68WSJUtw5ZVXYvLkyQCAqqoqmM1m2O32Ltemp6ejqqpKvqZzgCPdLt3W2zWNjY1oa2tDbW0tPB5Pt9dI99Gdxx57DA6HQ/4oLy8f+BOnqKW0DqsTUtFxGreqiAYqKYxzck6fZ2dVtDIO9gsXLVqEgwcP4pNPPgnmekLKYrHAYuFUWa2S6nLOKKTDikXHRIMndVc1trvg8QoY9KEbpillclh0HH0GlclZvHgx1q5diy1btiA7O1v+fEZGBpxOJxoaGrpcX11djYyMDPmaC7utpH/3dY3NZkNMTAxSU1NhMBi6vUa6D6ILSR1WSsnkcBAg0eBJZ1cJATjaQpvNCWxXMZMTbQYU5AghsHjxYrz99tvYvHkzRowY0eX2GTNmwGQyYdOmTfLniouLUVZWhsLCQgBAYWEhDhw40KULauPGjbDZbJg4caJ8Tef7kK6R7sNsNmPGjBldrvF6vdi0aZN8DdGFlFST09zhRqXDd1joaAY5RANmNOiRYPVtRoSyw6qlw43a5g4AQC5rcqLOgLarFi1ahL/97W949913kZCQINe/JCYmIiYmBomJibjvvvuwdOlSJCcnw2az4Yc//CEKCwtx+eWXAwBuuukmTJw4Ed/+9rfx1FNPoaqqCo8//jgWLVokbyU98MAD+P3vf49HHnkE3/3ud7F582a8+eabWLdunbyWpUuX4u6778all16KmTNn4re//S1aWlpw7733But7Qyoj1eSU17dCCBHRs6JK/VtVqfEWJPprC4hoYOyxJjS1u9EQwiBHyuLYY01IjOHParQZUJDz4osvAgCuu+66Lp9/7bXXcM899wAAnnvuOej1eixYsAAdHR0oKirCH/7wB/lag8GAtWvX4sEHH0RhYSHi4uJw99134+c//7l8zYgRI7Bu3To89NBDeP7555GdnY2XX34ZRUVF8jULFy7EuXPnsGzZMlRVVWHatGlYv379RcXIRJIsewz0OqDd5cW55g6kJVgjtpbAVhXT30SDlRRrRvn5NtS3hG67qkwqOmY9TlQaUJAjhOjzGqvVipUrV2LlypU9XpOXl4f33nuv1/u57rrrsHfv3l6vWbx4MRYvXtznmogAwGzUIzMxBmcb2lB+vjWiQU6gs4pbVUSDJRUfN4SwJue0fJwD/yCJRjy7ijQlcLxDZDusWHRMNHSBox1Ct111imdWRTUGOaQpSpmVw+0qoqFLCsMhndJ2FdvHoxODHNIUJXRYuT1enKr1PT4zOUSDZw/DQEC5fTyVf5BEIwY5pCnSQMBIZnLO1LfB6fHCatJjuD0mYusginZSJidU21VOtxcVDb6tbRYeRycGOaQpSph6LJ9ZlRoPfQintBKpnZzJCVF31Zn6VngFEGMyYFgCp+VHIwY5pClS4XGFow1Otzcia2BnFVFw2ENck3P6fKDoOJJztWjwGOSQpgyLt8Bq0kMIyGnocGPRMVFwSN1VoTrW4XQti46jHYMc0hSdThfxDisezEkUHKHuruqcyaHoxCCHNEfusKoPf5AjhAhsVzHIIRoSqSan3eVFu8sT9Psv4yDAqMcghzQnkh1W51uccLS5oNMBI7ldRTQk8RYjjP7i/VBkc07V+Y90YCYnajHIIc2RO6wiMPVY2qrKToqB1WQI++MTqYlOpwsUHwe5w8rrFSivl9rH+QdJtGKQQ5qTk+TrsIpEJodbVUTBZQ/R0Q5Vje1wur0w6nXIskfunDsaGgY5pDm5KZGryeGZVUTBlRSiqcfSpOPspBgYDXyrjFZ85UhzpO6qhlYXGttDNw6+OwxyiIIrcBJ5cDM5p/31OLksOo5qDHJIc+IsRqTE+X4xhvsMK87IIQquwEnkQc7kSO3jnJET1RjkkCZlR+CgznaXRz5OYjSnHRMFhTwrpyW4mZxA+ziDnGjGIIc0KXAaefg6rE6ea4EQvkLJZH8miYiGJnC0Q3AzOYH2cWZdoxmDHNKkSHRYda7H4Tk4RMERiu4qIQQzOSrBIIc0KRJTj1mPQxR8ge6q4AU59a0uNHW4AfDcqmjHIIc0KRJTj3lmFVHwBbqrgrddJW1VZdisHNoZ5RjkkCZJf52dqW+D1yvC8pglHARIFHRS4XEwu6ukrapcblVFPQY5pEmZiVYY9Do43V7UNHWE/PG8XoGTtb4gh51VRMGT1KkmJ1h/sEiDAPMZ5EQ9BjmkSUaDXh7VHo66nLMNbWh3eWE26JHtL3omoqGTtqu8AmhqdwflPk+zs0o1GOSQZkmTj6XUdChJRcf5qbEcEU8URGajHnFmX91MsIqPpUGALDqOfvxtS5oVzg4rFh0ThU5gVk6Qghx5u4qZnGjHIIc0K5wdVjyziih07EE82qG5w43aZl+dHguPox+DHNIsKcg5E4apx3JnVRr/MiQKtqQgHtIpbV/bY01IjDEN+f4oshjkkGaFc+qxtF01elhCyB+LSGukTE59y9AzOWXnWXSsJgxySLOkmpzqpna0uzwhexxHq0tOf4/ktGOioAvMyhl6Jkeqx+Hp4+rAIIc0KznOjFizAUL4WrxD5YS/Hicz0Yo4izFkj0OkVYGjHYaeyTnFM6tUhUEOaZZOp+t0GnnotqxYdEwUWsHsruJ2lbowyCFNy04KZ5DDX5pEoRDM7qrTzOSoCoMc0rTArJzQbVeV1PiLjnmcA1FIJAUpk+N0e1Hh37pmTY46MMghTctJ9ndYhXDqMberiEIrWJmcM/Wt8AogxmTAsARLMJZGEcYghzQt1FOPO9weuUV9FDM5RCERrO4q6TiHvJRY6HS6Ia+LIo9BDmlaqKcel9W1wuMViLcYkca/DIlCQgpyWpweON3eQd/P6Vrf1jLPrFIPBjmkadIhnU3tbjiCULR4oc5Fx/zLkCg0EqxG6P0/XkPJ5nTO5JA6MMghTYsxG5Aa78uwhCKbw4M5iUJPr9d1aiMf/B8rZXJnFTsh1YJBDmlerr/4OBR1OYEzqxjkEIWSPUYaCDj4TM6pOmlGDjM5asEghzQvlHU5J9hZRRQWQ+2w8nqFPEoiL5mZHLVgkEOaF6qpx0IIOZMzmqePE4XUUDusqhrb4XR7YdTrkGW3BnNpFEEMckjzpOLjYA8ErG7sQIvTA4Neh1z+ZUgUUkOtyZG2qrKTYmA08K1RLfhKkublhCiTI3VW5SXHwmzkjxpRKCXJ21WDy+RIRce5LDpWFf7mJc2Tph6frW+DxyuCdr9SkDOS9ThEIZcUN7SjHaT28XwWHasKgxzSvMzEGBj1Ojg9XlQ3tgftfgP1OAxyiEJNKjwe7HbV6ToOAlQjBjmkeQa9DsOT/G3kQdyyOsHTx4nCxh4ztMLj05yRo0oMcogQ+OstmG3k0unjnJFDFHpJQ2ghF0LINTncrlIXBjlEALKD3GHV3OFGlX/ra1QqgxyiUBtKd1V9qwtNHW4AgUYEUgcGOUQI/qyck/6tqtR4CxL9f2ESUegkxQW6q4QYWAOB1D6eYbPCajIEfW0UOQxyiBDosApWkFPCehyisJKGAbq9As3+rEx/BdrHmcVRGwY5RAh+Tc4JdlYRhZXVZIDV5HtLG2hdzmnW46gWgxwiBKYe1zR1oN3lGfL9yUXHnJFDFDZSh9VAZ+Wclg/mZOZVbRjkEME3YyPBYgQAnAnCaeTydhUzOURhM9hZOdIgQM7IUR8GOUQAdDodsuXi46F1WLk9XrmQkTU5ROEz2EM6A9tV/HlVGwY5RH65/uLjodbllNe3weURsJr0yEqMCcbSiKgfAh1W/c/kNHe4UdvcAYCFx2rEIIfITz6NfIhBjnScw8jUeOj1uiGvi4j6JzArp/+ZHKmzyh5rQmIMxz2oDYMcIj/pr7ihZnKk4xzYWUUUXoOZelx2nkXHasYgh8gvJ0hTj6VMDjuriMIraRCZnFPSmVUsOlYlBjlEfjmdph4PdGJqZ4HOKv5lSBRO0nbTQLqrAgdzMshRIwY5RH7Z/pPImzvcgzrkD/Ad9FdyjjNyiCJhMN1V3K5SNwY5RH5WkwHpNguAwdfl1LU44WhzQacDRqTylyZROA2mu+pULTM5asYgh6iTQF3O4IIcqR4nOymGB/0RhdlAu6ucbi8qHb4aPNbkqNOAg5yPPvoI8+fPR1ZWFnQ6Hd55550utwshsGzZMmRmZiImJgazZ8/G8ePHu1xz/vx53HXXXbDZbLDb7bjvvvvQ3Nzc5Zovv/wSV199NaxWK3JycvDUU09dtJbVq1dj/PjxsFqtmDJlCt57772BPh2iLoZ6hpXcWcWtKqKwk7armtrdcHu8fV5/pr4VXgHEmAwYlmAJ9fIoAgYc5LS0tKCgoAArV67s9vannnoKv/vd7/DSSy9h586diIuLQ1FREdrb2+Vr7rrrLhw6dAgbN27E2rVr8dFHH+H73/++fHtjYyNuuukm5OXlYffu3Xj66afx05/+FP/3f/8nX7N9+3Z885vfxH333Ye9e/fi9ttvx+23346DBw8O9CkRyYY69ZhnVhFFTmKMCTr/aKqGtr63rKTjHPJSYqHTcaaVGhkH+gVz587F3Llzu71NCIHf/va3ePzxx3HbbbcBAP785z8jPT0d77zzDr7xjW/gyJEjWL9+PT7//HNceumlAIAXXngBN998M37zm98gKysLf/3rX+F0OvHqq6/CbDZj0qRJ2LdvH5599lk5GHr++ecxZ84cPPzwwwCAJ598Ehs3bsTvf/97vPTSS92ur6OjAx0dHfK/GxsbB/r0SeVyk4c2EJBnVhFFjkGvg81qgqPNhYZWJ1Lje8/OnK71/VHCM6vUK6g1OaWlpaiqqsLs2bPlzyUmJmLWrFnYsWMHAGDHjh2w2+1ygAMAs2fPhl6vx86dO+VrrrnmGpjNZvmaoqIiFBcXo76+Xr6m8+NI10iP050VK1YgMTFR/sjJyRn6kyZVyfF3WA26JuccZ+QQRdJADumUMjn5bBJQraAGOVVVVQCA9PT0Lp9PT0+Xb6uqqkJaWlqX241GI5KTk7tc0919dH6Mnq6Rbu/OY489BofDIX+Ul5cP9CmSyklTj8/Wt8HjHdisnDanB2cbfNtcPJiTKDLscht530GOdKQDMznqNeDtqmhmsVhgsbC4jHqWnmCF2aCH0+PrushO6v8vv9LaFgjh+0syOc7c9xcQUdAlyZmcvjusTtVJM3IY5KhVUDM5GRkZAIDq6uoun6+urpZvy8jIQE1NTZfb3W43zp8/3+Wa7u6j82P0dI10O9Fg6PU6eSjgQDusOndWsYiRKDL6OxDQ6xXyES55ycy8qlVQg5wRI0YgIyMDmzZtkj/X2NiInTt3orCwEABQWFiIhoYG7N69W75m8+bN8Hq9mDVrlnzNRx99BJcrkG7cuHEjxo0bh6SkJPmazo8jXSM9DtFgSR1WZwbYYcUzq4gir781OVWN7XC6vTDqdciyW8OxNIqAAQc5zc3N2LdvH/bt2wfAV2y8b98+lJWVQafTYcmSJfjFL36Bf//73zhw4AC+853vICsrC7fffjsAYMKECZgzZw6+973vYdeuXfj000+xePFifOMb30BWVhYA4Fvf+hbMZjPuu+8+HDp0CG+88Qaef/55LF26VF7Hj370I6xfvx7PPPMMjh49ip/+9Kf44osvsHjx4qF/V0jTcpMHl8nhmVVEkdffTI60VZWdFAOjgXNx1WrANTlffPEFrr/+evnfUuBx9913Y9WqVXjkkUfQ0tKC73//+2hoaMBVV12F9evXw2oNRMp//etfsXjxYtx4443Q6/VYsGABfve738m3JyYm4oMPPsCiRYswY8YMpKamYtmyZV1m6VxxxRX429/+hscffxz/8z//gzFjxuCdd97B5MmTB/WNIJIMduoxz6wiijy5Jqel90yOXHTMM6tUbcBBznXXXdfrCc06nQ4///nP8fOf/7zHa5KTk/G3v/2t18eZOnUqPv74416vufPOO3HnnXf2vmCiARrM1GOvV+Ak28eJIi6xn0c7yO3jLDpWNeboiC6QM4ipx2cb2tDh9sJs0MuFy0QUflImx9HHxOPTdRwEqAUMcoguIAU5tc0daHW6+/U1UmfViNQ47u8TRVBSfzM5ddKRDtyuUjP+Nia6QGKMCTarbyf3TH3/sjlyZxWLjokiqnN3VU+lFUIIuSaH21XqxiCHqBvS5GPpF2FfWHRMpAxSJsfp9qLN5en2mvMtTjR1+LK0OdyuUjUGOUTdGGiHFc+sIlKGWLMBZv+WcU+zcqSi4wybFVaTIWxro/BjkEPUjYF2WLGzikgZdDpdYMuqpfu6nDK5HodZHLVjkEPUjewBdFg1tDpR2+z7ZTqSB3MSRZwU5PR0SCfPrNIOBjlE3ciVg5y+MznSVlVWohVxFk2deUukSPJJ5G19ZXL4R4naMcgh6kaOf9ZNeX1rr8MvAaCkxl90nMatKiIlSOrj/CqpJoeZHPVjkEPUjeFJMdDpgFanB3U97OtLWHRMpCzy+VU9/OzKM3J4+rjqMcgh6obFaECGzXfeWl9bVoEgh78wiZTALg8EvDiT09zhRm1zB4DAqAhSLwY5RD3I6WeHFWfkEClLklx4fHEmR6rHsceakBhjCuu6KPwY5BD1QJqV09vU4w63Rz4DhzU5RMoQmHrcTZBzXuqsYuZVCxjkEPVAnpXTy9Tj03Wt8AogwWJEWoIlXEsjol4Euqsu3q46JdfjcKtKCxjkEPUgJznQYdUT6cyqkWnx0Ol0YVkXEfVOLjzupibnNAcBagqDHKIe9GfqMYuOiZQnidtV5Mcgh6gHUuFxpaMdLo+322tYdEykPNJ2laPNBY+365yrU7XM5GgJgxyiHgyLt8Bi1MPjFahsaO/2mhM1nJFDpDRS4bEQQGOnuhyn24tKh6+RgDU52sAgh6gHer0O2Uk91+UIIeTtqtFpTH0TKYXJoEeC/4iVzltWZ+p9jQIxJgOGsVFAExjkEPWit7qcqsZ2tDo9MOp13N8nUpjEbo526Fx0zEYBbWCQQ9SLnF4O6pTOrMpNiYXJwB8lIiVJkutyApkcaaZVLreqNIO/mYl60Vsmh2dWESmXPBCwpVMmx/9znJ/KzKtWMMgh6kW2f+pxeTdTjxnkEClXknx+VedMji/IYSZHOxjkEPUit5ftqkBnFf8qJFKawPlVnWtypBk5DHK0gkEOUS+kqcfnW5xo7nB3uU3O5PDMKiLFsV+QyfF6hZyRzWejgGYwyCHqRYLVJP9F2Dmb09TuQnVjBwBuVxEp0YWZnKrGdjjdXhj1OmQmWiO5NAojBjlEfeiuw+qkf9LxsAQLEmNMEVkXEfXswkzOKf9WVXZSDIzshtQMvtJEfcjppsOKZ1YRKZv9gkxOmTwjhz+zWsIgh6gPOf4OqzOdOqzYWUWkbIGTyH2ZHKl9nEXH2sIgh6gP3c3K4ZlVRMoWaCH3ZXI4CFCbGOQQ9UHqsCrvsl3l+4U5mp1VRIpkj/NtV7W5PGh3eTod6cDtKi1hkEPUB3lWTn0rhBBwebzyX4VsHydSpgSLEUa973yqhlaXXJOTz+0qTWGQQ9SHLHsM9Dqg3eXFueYOlJ9vhcsjEGMyINPGVlQiJdLpdHLx8clzzWjyz7nK4XaVpjDIIeqDyaBHZmJgy0raqho5LA56PU8yJlIqabzDvjMNAIAMmxVWkyGCK6JwY5BD1A+Bupw2dlYRRQmp+Hh/eQMAdlZpEYMcon7o3GHFziqi6GCXgxwHAAY5WsQgh6gfpFk5vu0qX5DDzioiZZOOdqhqbAfAziotYpBD1A+5KYFMTomUyUnjL0wiJUuKM3f5NzM52mOM9AKIokG2P5Nz8KwDLU4PdDqeZEykdFJ3lSQvmT+zWsNMDlE/SDU5LU4PAN/2Fbs0iJRNKjyW5DKTozkMcoj6ITXejJhOQQ0P5iRSPntMIJOTFGuSW8pJOxjkEPWDTqeT28gBdlYRRQN7p0xOLreXNYlBDlE/SR1WADuriKJBUlwgc5PHSceaxCCHqJ86j4PnmVVEyte5JodnVmkTgxyifuoS5HC7ikjxOndXcbtKmxjkEPWT1GGVFGtC8gXzN4hIeSxGA2LNvoYBzsjRJs7JIeqnmfnJGJsejxsnpEd6KUTUT3dMH44DZxyYMjwx0kuhCNAJIUSkFxEpjY2NSExMhMPhgM1mi/RyiIiIqB/6+/7N7SoiIiJSJQY5REREpEoMcoiIiEiVGOQQERGRKjHIISIiIlVikENERESqxCCHiIiIVIlBDhEREakSgxwiIiJSJQY5REREpEoMcoiIiEiVGOQQERGRKjHIISIiIlVikENERESqZIz0AiJJCAHAd2Q7ERERRQfpfVt6H++JpoOcpqYmAEBOTk6EV0JEREQD1dTUhMTExB5v14m+wiAV83q9qKioQEJCAnQ6XaSXEzKNjY3IyclBeXk5bDZbpJcTUnyu6qWl58vnql5aer6hfK5CCDQ1NSErKwt6fc+VN5rO5Oj1emRnZ0d6GWFjs9lU/0Ml4XNVLy09Xz5X9dLS8w3Vc+0tgyNh4TERERGpEoMcIiIiUiUGORpgsViwfPlyWCyWSC8l5Phc1UtLz5fPVb209HyV8Fw1XXhMRERE6sVMDhEREakSgxwiIiJSJQY5REREpEoMcoiIiEiVGOREuRUrVuCyyy5DQkIC0tLScPvtt6O4uLjXr1m1ahV0Ol2XD6vVGqYVD95Pf/rTi9Y9fvz4Xr9m9erVGD9+PKxWK6ZMmYL33nsvTKsduvz8/Iuer06nw6JFi7q9Pppe148++gjz589HVlYWdDod3nnnnS63CyGwbNkyZGZmIiYmBrNnz8bx48f7vN+VK1ciPz8fVqsVs2bNwq5du0L0DPqvt+fqcrnw6KOPYsqUKYiLi0NWVha+853voKKiotf7HMzPQrj09drec889F619zpw5fd5vtL22ALr9+dXpdHj66ad7vE+lvrb9ea9pb2/HokWLkJKSgvj4eCxYsADV1dW93u9gf9b7i0FOlNu2bRsWLVqEzz77DBs3boTL5cJNN92ElpaWXr/OZrOhsrJS/jh9+nSYVjw0kyZN6rLuTz75pMdrt2/fjm9+85u47777sHfvXtx+++24/fbbcfDgwTCuePA+//zzLs9148aNAIA777yzx6+Jlte1paUFBQUFWLlyZbe3P/XUU/jd736Hl156CTt37kRcXByKiorQ3t7e432+8cYbWLp0KZYvX449e/agoKAARUVFqKmpCdXT6Jfenmtrayv27NmDJ554Anv27MFbb72F4uJi3HrrrX3e70B+FsKpr9cWAObMmdNl7X//+997vc9ofG0BdHmOlZWVePXVV6HT6bBgwYJe71eJr21/3mseeughrFmzBqtXr8a2bdtQUVGBO+64o9f7HczP+oAIUpWamhoBQGzbtq3Ha1577TWRmJgYvkUFyfLly0VBQUG/r//6178u5s2b1+Vzs2bNEj/4wQ+CvLLw+NGPfiRGjRolvF5vt7dH6+sKQLz99tvyv71er8jIyBBPP/20/LmGhgZhsVjE3//+9x7vZ+bMmWLRokXyvz0ej8jKyhIrVqwIyboH48Ln2p1du3YJAOL06dM9XjPQn4VI6e753n333eK2224b0P2o5bW97bbbxA033NDrNdHy2l74XtPQ0CBMJpNYvXq1fM2RI0cEALFjx45u72OwP+sDwUyOyjgcDgBAcnJyr9c1NzcjLy8POTk5uO2223Do0KFwLG/Ijh8/jqysLIwcORJ33XUXysrKerx2x44dmD17dpfPFRUVYceOHaFeZtA5nU785S9/wXe/+91eD5ON1te1s9LSUlRVVXV57RITEzFr1qweXzun04ndu3d3+Rq9Xo/Zs2dH3evtcDig0+lgt9t7vW4gPwtKs3XrVqSlpWHcuHF48MEHUVdX1+O1anltq6ursW7dOtx33319XhsNr+2F7zW7d++Gy+Xq8jqNHz8eubm5Pb5Og/lZHygGOSri9XqxZMkSXHnllZg8eXKP140bNw6vvvoq3n33XfzlL3+B1+vFFVdcgTNnzoRxtQM3a9YsrFq1CuvXr8eLL76I0tJSXH311Whqaur2+qqqKqSnp3f5XHp6OqqqqsKx3KB655130NDQgHvuuafHa6L1db2Q9PoM5LWrra2Fx+OJ+te7vb0djz76KL75zW/2eqDhQH8WlGTOnDn485//jE2bNuHXv/41tm3bhrlz58Lj8XR7vVpe29dffx0JCQl9bt9Ew2vb3XtNVVUVzGbzRcF5b6/TYH7WB0rTp5CrzaJFi3Dw4ME+928LCwtRWFgo//uKK67AhAkT8Mc//hFPPvlkqJc5aHPnzpX/e+rUqZg1axby8vLw5ptv9uuvo2j2yiuvYO7cucjKyurxmmh9XcnH5XLh61//OoQQePHFF3u9Npp/Fr7xjW/I/z1lyhRMnToVo0aNwtatW3HjjTdGcGWh9eqrr+Kuu+7qsxkgGl7b/r7XKAEzOSqxePFirF27Flu2bEF2dvaAvtZkMuGSSy7BiRMnQrS60LDb7Rg7dmyP687IyLiosr+6uhoZGRnhWF7QnD59Gh9++CHuv//+AX1dtL6u0uszkNcuNTUVBoMhal9vKcA5ffo0Nm7c2GsWpzt9/Swo2ciRI5Gamtrj2qP9tQWAjz/+GMXFxQP+GQaU99r29F6TkZEBp9OJhoaGLtf39joN5md9oBjkRDkhBBYvXoy3334bmzdvxogRIwZ8Hx6PBwcOHEBmZmYIVhg6zc3NKCkp6XHdhYWF2LRpU5fPbdy4sUu2Ixq89tprSEtLw7x58wb0ddH6uo4YMQIZGRldXrvGxkbs3Lmzx9fObDZjxowZXb7G6/Vi06ZNin+9pQDn+PHj+PDDD5GSkjLg++jrZ0HJzpw5g7q6uh7XHs2vreSVV17BjBkzUFBQMOCvVcpr29d7zYwZM2Aymbq8TsXFxSgrK+vxdRrMz/pgFk5R7MEHHxSJiYli69atorKyUv5obW2Vr/n2t78t/vu//1v+989+9jOxYcMGUVJSInbv3i2+8Y1vCKvVKg4dOhSJp9BvP/7xj8XWrVtFaWmp+PTTT8Xs2bNFamqqqKmpEUJc/Dw//fRTYTQaxW9+8xtx5MgRsXz5cmEymcSBAwci9RQGzOPxiNzcXPHoo49edFs0v65NTU1i7969Yu/evQKAePbZZ8XevXvljqJf/epXwm63i3fffVd8+eWX4rbbbhMjRowQbW1t8n3ccMMN4oUXXpD//Y9//ENYLBaxatUqcfjwYfH9739f2O12UVVVFfbn11lvz9XpdIpbb71VZGdni3379nX5Ge7o6JDv48Ln2tfPQiT19nybmprET37yE7Fjxw5RWloqPvzwQzF9+nQxZswY0d7eLt+HGl5bicPhELGxseLFF1/s9j6i5bXtz3vNAw88IHJzc8XmzZvFF198IQoLC0VhYWGX+xk3bpx466235H/352d9KBjkRDkA3X689tpr8jXXXnutuPvuu+V/L1myROTm5gqz2SzS09PFzTffLPbs2RP+xQ/QwoULRWZmpjCbzWL48OFi4cKF4sSJE/LtFz5PIYR48803xdixY4XZbBaTJk0S69atC/Oqh2bDhg0CgCguLr7otmh+Xbds2dLt/7fS8/F6veKJJ54Q6enpwmKxiBtvvPGi70FeXp5Yvnx5l8+98MIL8vdg5syZ4rPPPgvTM+pZb8+1tLS0x5/hLVu2yPdx4XPt62chknp7vq2treKmm24Sw4YNEyaTSeTl5Ynvfe97FwUranhtJX/84x9FTEyMaGho6PY+ouW17c97TVtbm/jP//xPkZSUJGJjY8VXv/pVUVlZedH9dP6a/vysD4XO/6BEREREqsKaHCIiIlIlBjlERESkSgxyiIiISJUY5BAREZEqMcghIiIiVWKQQ0RERKrEIIeIiIhUiUEOERERqRKDHCKKetdddx2WLFnS4+35+fn47W9/G7b1EJEyGCO9ACKioXrrrbdgMpkivQwiUhgGOUQU9ZKTkyO9BCJSIG5XEVHU67xdVVNTg/nz5yMmJgYjRozAX//618gujogihpkcIlKVe+65BxUVFdiyZQtMJhP+67/+CzU1NZFeFhFFAIMcIlKNY8eO4f3338euXbtw2WWXAQBeeeUVTJgwIcIrI6JI4HYVEanGkSNHYDQaMWPGDPlz48ePh91uj9yiiChiGOQQERGRKjHIISLVGD9+PNxuN3bv3i1/rri4GA0NDZFbFBFFDIMcIlKNcePGYc6cOfjBD36AnTt3Yvfu3bj//vsRExMT6aURUQQwyCEiVXnttdeQlZWFa6+9FnfccQe+//3vIy0tLdLLIqII0AkhRKQXQURERBRszOQQERGRKjHIISIiIlVikENERESqxCCHiIiIVIlBDhEREakSgxwiIiJSJQY5REREpEoMcoiIiEiVGOQQERGRKjHIISIiIlVikENERESq9P8Df1RN3Ztbc/AAAAAASUVORK5CYII=\n"
},
"metadata": {}
}
]
},
{
"cell_type": "markdown",
"source": [
"Density function:"
],
"metadata": {
"id": "9JFiMJrHVzz-"
}
},
{
"cell_type": "markdown",
"source": [
"In statistics, kernel density estimation (KDE) is a non-parametric way to estimate the probability density function (PDF) of a random variable."
],
"metadata": {
"id": "p_vTsFDtc-sx"
}
},
{
"cell_type": "code",
"source": [
"df.Annual_Premium.plot.kde()"
],
"metadata": {
"colab": {
"base_uri": "https://localhost:8080/",
"height": 462
},
"id": "PkB_HlFQV1jA",
"outputId": "76e54385-2374-43dc-844d-3c3bbf973031"
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<Axes: ylabel='Density'>"
]
},
"metadata": {},
"execution_count": 66
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"cell_type": "code",
"source": [
"df.Annual_Premium.hist(cumulative=True, bins=30)"
],
"metadata": {
"id": "A3tcJktWWFLN",
"outputId": "74c0ba57-53b5-487f-8f94-bf9be09f2711",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 452
}
},
"execution_count": null,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<Axes: >"
]
},
"metadata": {},
"execution_count": 67
},
{
"output_type": "display_data",
"data": {
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
],
"image/png": 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\n"
},
"metadata": {}
}
]
}
]
}