{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"\n",
" \n",
"\n",
"\n",
"# Basic Usage of fastKDE\n",
"\n",
"This notebook demonstrates the examples provided in the fastKDE `README.md`.\n",
"\n",
"## Software Overview\n",
"\n",
"fastKDE calculates a kernel density estimate of arbitrarily dimensioned\n",
"data; it does so rapidly and robustly using recently developed KDE\n",
"techniques. It does so with statistical skill that is as good as\n",
"state-of-the-science 'R' KDE packages, and it does so 10,000 times\n",
"faster for bivariate data (even better improvements for higher\n",
"dimensionality).\n",
"\n",
"*Please cite the following papers when using this method:*\n",
"\n",
"1. O’Brien, T. A., Kashinath, K., Cavanaugh, N. R., Collins, W. D., & O’Brien, J. P. “A fast and objective multidimensional kernel density estimation method: fastKDE.” *Comput. Stat. Data Anal.* 101, 148–160 (2016). [https://doi.org/10.1016/j.csda.2016.02.014](https://doi.org/10.1016/j.csda.2016.02.014)\n",
"\n",
"2. O’Brien, T. A., Collins, W. D., Rauscher, S. A., & Ringler, T. D. “Reducing the computational cost of the ECF using a nuFFT: A fast and objective probability density estimation method.” *Comput. Stat. Data Anal.* 79, 222–234 (2014). [https://doi.org/10.1016/j.csda.2014.06.002](https://doi.org/10.1016/j.csda.2014.06.002)\n",
"\n",
"\n",
"### Example usage:\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"\"\"\" Install fastkde if not already installed \"\"\" \"\"\n",
"try:\n",
" import fastkde\n",
"except:\n",
" # Install a pip package in the current Jupyter kernel (this works in google colab but might not work in other environments with multiple python versions installed)\n",
" !pip install fastkde\n",
" import fastkde"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Basic example\n",
"\n",
"The following test shows fastKDE working on samples drawn independently from $\\mathcal{N}(0.1,50)$ and $\\mathcal{N}(-300,0.01)$."
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\" Demonstrate the use of fastkde on a 1D dataset \"\"\" \n",
"import numpy as np\n",
"import fastkde\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# generate a 1D dataset\n",
"N = int(1e5)\n",
"x = 50 * np.random.normal(size=N) + 0.1\n",
"\n",
"# compute the KDE using fastkde\n",
"xPDF = fastkde.pdf(x)\n",
"\n",
"# compare with a historgram\n",
"plt.hist(x, bins=30, density=True, alpha=0.5, label='histogram')\n",
"\n",
"# plot the fastKDE\n",
"xPDF.plot(label = 'fastKDE')\n",
"plt.xlabel('x')\n",
"plt.ylabel('PDF(x)')\n",
"plt.legend()\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\" Demonstrate the first README example. \"\"\"\n",
"import numpy as np\n",
"import fastkde\n",
"import matplotlib.pyplot as plt\n",
"\n",
"# Generate a 2D dataset with x and y highly correlated\n",
"cov = [[1, 0.8], [0.8, 1]]\n",
"x, y = np.random.multivariate_normal([0, 0], cov, N).T\n",
"\n",
"# generate a bivariate PDF of x and y using fastKDE\n",
"# note that the var_names argument enables automatic labelling of the axes\n",
"PDF = fastkde.pdf(x, y, var_names=[\"x\", \"y\"])\n",
"\n",
"PDF.plot();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that `fastKDE` also has an automatic plotting routine for handling data with high dimensionality."
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA0wAAANBCAYAAADTAz5pAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAADRUklEQVR4nOzdd3yb1dnG8euRLMt7j9ixsvewM4AQCCHsDYUySltaCh10A23fNt1QaKAtnXTQFjrYe5W9QsIIhOy9E694x/KWZel5/5DlhGHiWLIfjd/381EbO9Z5bmRH1qVzzn0M0zRNAQAAAAA+xGZ1AQAAAAAQqQhMAAAAANAPAhMAAAAA9IPABAAAAAD9IDABAAAAQD8ITAAAAADQDwITAAAAAPSDwAQAAAAA/UiwuoDh5Pf7VV1drfT0dBmGYXU5ABA3TNNUa2uriouLZbPxXh0AIHrEVWCqrq6Wy+WyugwAiFsVFRUqKSmxugwAAAYsrgJTenq6pMAv7IyMDIurAYD40dLSIpfL1fc8DABAtIirwBRchpeRkUFgAgALsBwaABBtWEgOAAAAAP0gMAEAAABAPwhMAAAAANAPAhMAAAAA9IPABAAAAAD9IDABAAAAQD8ITAAAAADQDwITAAAAAPSDwAQAAAAA/SAwAQAAAEA/EqwuYCh5PB55PJ6+j1taWiysBgAAAEC0iekZpiVLligzM7Pv5nK5rC4JsITX59ea8gN6fE2lKpo6rC4HAAAgahimaZpWFzFUPmqGyeVyye12KyMjw8LKgOGxq75NNz+zRSt2N6qj29f3+Skj0nVeWbG+vHCcHPaYft8EEaKlpUWZmZk8/wIAok5ML8lzOp1yOp1WlwFY4qXNtbr+wbVq9fRIkrJSHBqdk6KN1S3aWtOqrTXb9NauBv3lM3OVmeywuFoAAIDIFNOBCYhHpmnqj6/s1O9e3i5JOmZMjn5+/nRNGZEum81Qc0e3nttYo5v+t1lv7mzUxX99S3ddebRcOSkWVw4AABB5WIsDxJiH36vsC0tXHjdG935pnqYVZ8hmMyRJWSmJuvyYUXromvkqzHBqR12bLrvjbTV3dFtZNgAAQEQiMAExZGtNi37y5EZJ0ndOm6Sfnz+93z1K04sz9cTXj9eY3BRVu7u0+LENiuEtjQAAAINCYAJiRLunR1+/d7U8PX6dOClfXz9pwmHvU5SZrD9ePlsJNkPPbazRw+9VDkOlAAAA0YPABMSInz+1Sbvq21WY4dRvLy3rW4J3OKUlWfrO6ZMDYzy9SXsa2oeyTAAAgKhCYAJiwPrKZj28qlKGIf3xU7OVm3Zk3SG/vHCcjh2Xo45un37I0jwAAIA+BCYgypmmqVue2ypJunDWSM0bl3vEY9hthn5zSZkS7Ta9vbtRb+5sDHeZAAAAUYnABES5ZTsa9NauRiXabbrutEmDHqckO0WfnjdKkvTrF7cxywQAACACExDV/P6Ds0tXzB8d8llKXztpvJIcNq2raNbLW+rCUSIAAEBUIzABUeypddXasr9F6c6EAXXFO5yC9CRdedxYSdJtL26T388sEwAAiG8EJiBKmaapv72+S1KgaUNOamJYxr3mxHFKdyZoa02rnt24PyxjAgAARCsCExCl3tnTpK01rUpy2HTF/NFhGzcrJVFfOH6MJOk/b+0N27gAAADRiMAERKlgmLlwdomyUsIzuxT0mWNHy24ztHLvAW2taQnr2AAAANGEwAREoermTr24uVaS9Pnjwje7FFSYkaTTpxVKku5ZsS/s4wMAAEQLAhMQhe5ZsU8+v6ljx+VoyoiMIbnGFccGgtjjq6vU5ukZkmsAAABEOgITEGW6vD7d/265JPV1tBsK88fnalx+qtq7fXp8TdWQXQcAACCSEZiAKPPshv060OHVyKxknTq1YMiuYxhG3yzTvSv2cZAtAACISwQmIMoEZ3suOapECfah/Sd80ZwSJTvs2lrTqjUVzUN6LQAAgEhEYAKiSF1rl97c2SBJ+sSskUN+vcxkh86cMUKS9NTa6iG/HgAAQKQhMAFR5Ol1++U3pdmjsjQmL3VYrnl+WbEk6ZkN++XzsywPAADEFwITEEWeXBtYjjccs0tBCybmKSvFofpWj1bsbhy26wIAAEQCAhMQJXbVt2l9pVt2m6FzSouG7boOu01nzQhc7+l1LMsDAADxhcAERIkne5s9LJyYp7w057BeO7gs77mNNeru8Q/rtQEAAKxEYAKigGmaeqK36cInZg/fcrygY8bmqCDdKXenV8u21w/79QEAAKxCYAKiwMaqFpU3dSjZYddp0wqH/fp2m6FzSwOzTE+vZ1keAACIHwQmIAq8uLlGkrRocr5SEhMsqeH8WYHA9NLmWnV5fZbUAAAAMNwITEAUeGlzrSRZMrsUVFaSqaLMJHV0+/Q23fIAAECcIDABEa68sUNba1pltxk6eUqBZXUYxsHrv9wb4AAAAGIdgQmIcMHleMeMyVFWSqKltZzaO8P16tY6mSaH2AIAgNhHYAIiXHA53unTrVuOFzR/XK5SEu3a7+7SpuoWq8sBAAAYcgQmIII1tXdr5d4mSdbuXwpKcti1YEKeJOnlLSzLAwAAsY/ABESwV7fWyW9K04oyVJKdYnU5kqRTpwaC2ytb6iyuBAAAYOgRmIAI9lLv/qVImF0KOmlKgQxD2lDlVo27y+pyAAAAhhSBCYhQ3T1+Ld/RICmyAlN+ulOzXFmSpFe2siwPAADENgITEKHe29ekjm6f8tKcmlaUYXU57xNclvcqy/IAAECMIzABEWrZ9sDs0sKJebLZDIureb8TJ+VLkt7e3ajuHr/F1QAAAAydmA5MHo9HLS0t77sB0WLZ9npJ0sLecBJJphVlKDc1UR3dPq0pP2B1OQAAAEMmpgPTkiVLlJmZ2XdzuVxWlwQMSF1rlzbvDwT8BRPzLK7mw2w2Q8f3thd/Y2eDxdUAAAAMnZgOTIsXL5bb7e67VVRUWF0SMCDLe5fjzRiZobw0p8XVfLRgkFu2g8AEAABiV4LVBQwlp9MppzMyX2wCH2fZjt7leBMjbzle0Am9gWlDZbPcHV5lpjgsrggAACD8YnqGCYhGfr/Z1048EvcvBRVlJmtCQZr8pvTWLmaZAABAbCIwARFmU3WLmtq7lZpo15xR2VaX87EW9O5jWs4+JgAAEKMITECECS7Hmz8+T4kJkf1PNLgs7w32MQEAgBgV2a/GgDj0Rt9yvMjrjvdB88blKsFmqLypQ/sa260uBwAAIOwITEAE6fL6tKr3XKPjxkd+YEpzJmjO6MCyweXMMgEAgBhEYAIiyJryZnX3+JWf7tT4/FSryxmQ43uD3YrdjRZXAgAAEH4EJiCCvN0bOuaPy5VhGBZXMzDHjsuRJK3Y3STTNC2uBgAAILwITEAEWbGrNzCNz7W4koErc2UpMcGmhjaPdjewjwkAAMQWAhMQITq7fVpTEdi/NH9c9ASmJIddc0ZlSWJZHgAAiD0EJiBCvLevSV6fqaLMJI3OTbG6nCMyb2wg4L2zu8niSgAAAMKLwAREiLd3Rd/+paB5ffuYGtnHBAAAYgqBCYgQfQ0fomj/UtCcUdlKtNtU1+rR3sYOq8sBAAAIGwITEAHaPD1aX+mWFJ2BKclh1yxXliT2MQEAgNhCYAIiwMq9TfL5TblyklWSHV37l4KC7cXfITABAIAYQmACIsC7ewLNEo4dG32zS0Hzejv7cR4TAACIJQQmIAKs7A1MR4/NsbiSwZszKlsOu6Gali7tYx8TAACIEQQmwGJdXl/f/qVjxkRvYEpOtKu0JEtSYIkhAABALCAwARZbX+lWt8+vvDRn1J2/9EFHjc6WJK3ad8DiSgAAAMKDwARYLDgbc8zY7Kg7f+mDjuqdIXuPwAQAAGIEgQmwWLDhw9FRvBwvaG7vDNPOujYdaO+2uBoAAIDQEZgAC/n8plb3zsbEQmDKSU3UuPxUSSzLAwAAsYHABFhoa02LWj09SnMmaGpRhtXlhEVwHxPL8gAAQCwgMAEWCrYTnzM6W3ZbdO9fCgruY1q1j055AAAg+hGYAAut3BuYhTlmTLbFlYRPcIZpXaVbnh6fxdUAAACEhsAEWMQ0zb4OeUfFwP6loLF5qcpNTVR3j18bq9xWlwMAABASAhNgkYqmTtW1euSwG5rlyrK6nLAxDENzgvuY9rKPCQAARDcCE2CR1eWBMDG9OFNJDrvF1YQXjR8AAECsIDABFlnTG5jmjIqd/UtBBxs/HJBpmhZXAwAAMHgEJsAiq8ubJUmzR2VZWsdQmDEyQ4l2m5rau7WvscPqcgAAAAaNwARYoLPbpy37WySpb79PLHEm2DWtOHCu1NqKZmuLAQAACAGBCbDAhiq3evymCtKdKs5MsrqcIRFsZEFgAgAA0YzABFjg0P1LhhEbB9Z+UHCp4RoCEwAAiGIEJsACwQ55sbh/KSg4w7SluoUDbAEAQNQiMAHDzDTNvoYPsbh/KWhUTopyUhPV7fNrU3WL1eUAAAAMCoEJGGZVzZ2qb/UowWZoRnGm1eUMGcM4eCDv2t6ACAAAEG0ITMAwW9MbHqYWZSg5MbYOrP0gGj8AAIBol2B1AUPJ4/HI4/H0fdzSwrIgWG91X8OHLGsLGQYEJgAAEO1ieoZpyZIlyszM7Lu5XC6rSwL6Zphmj4rd/UtBZb2BqbypQ41tno//YgAAgAgU04Fp8eLFcrvdfbeKigqrS0Kc6/L6tKnaLSnQUjzWZSY7ND4/VRKzTAAAIDrFdGByOp3KyMh43w2w0qbqFnl9pnJTE+XKSba6nGExyxUIhgQmAAAQjWI6MAGRZk3f+Uuxe2DtB83q3atFYAIAANGIwAQMo4P7l7IsrWM4zT6k8YPfb1pbDAAAwBEiMAHD6GCHvNjfvxQ0ZUS6khw2tXb1aHdDu9XlAAAAHBECEzBM9rs7td/dJZshlZbE7oG1H5Rgt2nmyMB/b3BJIgAAQLQgMAHDJLgcb8qIDKU6Y/oItA/hPCYAABCtCEzAMDnY8CHL2kIsQKc8AAAQrQhMwDBZ3TvDFE/7l4KCIXFrTas6u33WFgMAAHAECEzAMOju8WtDVeDA2nicYSrKTFJBulM+v9n3OAAAAEQDAhMwDDbvb1F3j19ZKQ6NzUu1upxhZxjGIfuYaPwAAACiB4EJGAZ9+5dcWXFzYO0HcYAtAACIRgQmYBgcPLA2/vYvBc0ONn7ofSwAAACiAYEJGAbrKpslHWyvHY9KSzJlM6Rqd5dqW7qsLgcAAGBACEzAEGvu6Na+xg5J8XVg7QelOhM0qTBd0sEZNwAAgEhHYAKG2PrKQFe40bkpykpJtLgaawVn2IIzbgAAAJGOwAQMsfW94aC0JMvSOiJB8DHYUElrcQAAEB0ITMAQW9cbDsrieDleUHBJ4vrKZpmmaXE1AAAAh0dgAobYut422mVx3PAhaFJhuhITbGrp6lF5U4fV5QAAABwWgQkYQjXuLtW1emQzpOnFGVaXY7nEBJumFgUeh3UsywMAAFGAwAQMoWBzg0mF6UpJTLC2mAhROjKwLG8DjR8AAEAUIDABQ+hgwwf2LwXN7NvHxAwTAACIfAQmYAgFQwEd8g4q630sNla55ffT+AEAAEQ2AhMwREzT7Gv4MIuGD33G56cq2WFXe7dPuxvarC4HAADgYxGYgCGyt7FDLV09SkywafKIdKvLiRgJdltfAwyW5QEAgEhHYAKGSHD/0rSiDDns/FM7FPuYAABAtOBVHDBE1lVwYG1/gvuYNlQRmAAAQGQjMAFD5GCHvCxL64hEwRmmTdVu9fj8FlcDAADQPwITMAR6fH5trO6dYaLhw4eMzU1VmjNBXV6/dtTR+AEAAEQuAhMwBLbXtqnL61e6M0Hj8lKtLifi2GyGZowMNH7YwD4mAAAQwQhMwBAILsebMTJTNpthbTERKriPaX1Vs6V1AAAAfBwCEzAE1gUPrHXR8KE/dMoDAADRgMAEDIHgDFMZDR/6VToyS5K0ZX+LPD0+a4sBAADoB4EJCLMur09ba1ol0fDh47hykpWV4pDXZ2p7DY0fAABAZCIwAWG2qbpFPr+pvLREFWcmWV1OxDIMQzNH9i7LYx8TAACIUAQmIMwOPX/JMGj48HFKg/uYKtjHBAAAIhOBCQizYBODYBhA/2b27mNaX0VgAgAAkYnABITZumDDB/YvHVYwVG6vbVWXl8YPAAAg8sR0YPJ4PGppaXnfDRhK7k6vdte3S6JD3kAUZSYpLy1RPr+pzfv59wkAACJPTAemJUuWKDMzs+/mcrmsLgkxbmPv0rKS7GTlpCZaXE3kMwxDpcEDbCuaLa0FAADgo8R0YFq8eLHcbnffraKiwuqSEOPWcf7SETvYKY99TAAAIPIkWF3AUHI6nXI6nVaXgTgS7PZGw4eBCz5WGyoJTAAAIPLE9AwTMNzW0/DhiM3sDUw769vU7umxuBoAAID3IzABYVLX2qVqd5cMQ5oxkhmmgSpIT1JRZpJM8+AeMAAAgEhBYALCJLgcb0J+mtKcMb3aNeyC+5g2EJgAAECEITABYRJcjldKw4cjFtzHtJ59TAAAIMIQmIAwWdf7Yr/MxXK8IzWzN2QywwQAACINgQkIA9M0DzZ8YIbpiJX2Lsnb09Aud6fX4moAAAAOIjABYVDR1KkDHV457IamFKVbXU7UyU5NlCsnWRKNHwAAQGQhMAFhEDywdmpRhpwJdmuLiVKlI7MksY8JAABEFgITEAYHGz6wf2mwgucxbahqtrYQAACAQxCYgDAINnygQ97gBcPmugpmmAAAQOQgMAEh8vnNvn03s1xZ1hYTxYKH/VY1d6qxzWNxNQAAAAEEJiBEO+va1NHtU0qiXePz06wuJ2plJDk0Li9VEu3FAQBA5CAwASEKNnyYMTJTdpthbTFRrm8fE40fAABAhCAwASE6eP4SDR9CFdwDto7ABAAAIgSBCQhRsA12GfuXQlZKpzwAABBhCExACDw9Pm3Z3yJJKqNDXsimF2fIZki1LR7VtnRZXQ4AAACBCQjFlv2t8vpMZac4VJKdbHU5US8lMUETC9IlSesqmq0tBgAAQAQmICQHD6zNkmHQ8CEcDi7LYx8TAACwHoEJCEHwkFUaPoRP3wG2NH4AAAARgMAEhKCvQx4NH8Im2ClvQ2WzTNO0thgAABD3CEzAILV5erSzvk3SwRf5CN2UonQ57IYOdHhVeaDT6nIAAECcIzABg7Sh0i3TlIozk5Sf7rS6nJjhTLBryogMSQcPBQYAALAKgQkYpEMbPiC8+ho/sI8JAABYjMAEDFLwwNpSFw0fwi14phUzTAAAwGoEJmCQ1vaeEzSLhg9hN7N3hmljVYv8fho/AAAA6xCYgEGob/WoqrlThiHNHMkMU7hNLEhTksOmNk+Pdje0W10OAACIYwQmYBDW9c4uTchPU3qSw9piYlCC3aYZxYEgup5leQAAwEIEJmAQgntrWI43dILL8tbT+AEAAFiIwAQMQnD/EgfWDp1g4wdmmAAAgJUITMAR8vvNviV5zDANnWBr8U3VLfL6/BZXAwAA4hWBCThCexvb1dLVI2eCTZNHpFtdTswak5uqdGeCPD1+7ahts7ocAAAQpwhMwBEK7l+aMTJTDjv/hIaKzWYcso+p2dpiAABA3OLVHnCE1pY3Szq4xwZDpzS4j6mKxg8AAMAaBCbgCK3t7dpW5uL8paFWygwTAACwGIEJOAKeHp+2VLdIkma7si2uJvYFA9PW/a3q8vosrgYAAMQjAhNwBLbsb1W3z6/sFIdcOclWlxPzRmYlKzc1UT1+U1trWq0uBwAAxKGYDkwej0ctLS3vuwGhWHfI+UuGYVhbTBwwDBo/AAAAa8V0YFqyZIkyMzP7bi6Xy+qSEOU4f2n49TV+qKTxAwAAGH4xHZgWL14st9vdd6uoqLC6JES5tYfMMGF4lDHDBAAALJRgdQFDyel0yul0Wl0GYoS7w6vdDe2SaCk+nIJL8nbWtand06NUZ0w/bQEAgAgT0zNMQDitr2qWJI3OTVFOaqK1xcSRgvQkFWUmyW9KGzmPCQAADDMCEzBAHFhrneBjHlwSCQAAMFwITMAArevdQ8P+peE3e1SWJAITAAAYfgQmYABM09TaisByMDrkDb/gY05gAgAAw43ABAxAtbtLDW0eJdgMTS/OsLqcuDOzJFN2m6H97i7VuLusLgcAAMQRAhMwAMH9S1OK0pXksFtbTBxKSUzQpMJ0SdLaigMWVwMAAOIJgQkYgOD+JZbjWSe4j2kNy/IAAMAwIjABA9B3YC0d8iwTDKtremf7AAAAhgOBCTiMHp9fGypp+GC12b2P/YZKt3p8fmuLAQAAcYPABBzG9to2dXp9SnMmaFx+mtXlxK3x+WlKdyao0+vT9to2q8sBAABxgsAEHMbq8kCTgVmuLNlthsXVxC+bzeg7A2sNjR8AAMAwITABh7F6X+DF+ZzR2RZXgr7zmNjHBAAAhgmBCTiM4AzTnN4ubbAOB9gCAIDhRmACPkZDm0d7GzskSbNHMcNktVm9oXVnfZtaurzWFgMAAOICgQn4GMHleJMK05SZ7LC4GuSlOeXKSZZpSusr3FaXAwAA4gCBCfgYq3v3ysxhdilizHIFvhdrafwAAACGAYEJ+Bg0fIg8HGALAACGE4EJ6IfX59e6ymZJzDBFktm9+5jWVjTLNE1riwEAADGPwAT0Y3N1izw9fmWlODQuL9XqctBrWlGGHHZDje3dqjzQaXU5AAAgxhGYgH4cbCeeLRsH1kaMJIdd04oyJB38HgEAAAwVAhPQj1X7OH8pUgVbvHMeEwAAGGoEJqAfNHyIXBxgCwAAhguBCfgI+92dqnZ3yWZIZSVZVpeDDwgGpk1VLfL0+KwtBgAAxDQCE/ARVu9rliRNLcpQqjPB2mLwIaNzU5Sd4lC3z68t+1utLgcAAMQwAhPwEYLNBOayHC8iGYZxcFkejR8AAMAQIjABH+FgwwcCU6Sa5Qp8b9awjwkAAAwhAhPwAV1enzZVuyUxwxTJggfY0locAAAMJQIT8AEbq9zy+kzlpTlVkp1sdTnox6xRWTIMqaKpU3UtXVaXAwAAYhSBCfiA4HK8uaOzZBgcWBupMpIcmlyYLung9wwAACDcCEzABwSXeLF/KfIdNSbwPXqPwAQAAIYIgQk4hGmaWtXbUpz9S5HvqNE5kphhAgAAQ4fABByi8kCnGto8ctgNzRiZaXU5OIxgqN1U7VaXlwNsAQBA+BGYgEMEZyqmF2cqyWG3uBocTkl2sgrSnfL6TK2jvTgAABgCBCbgEBxYG10Mw+jbx7SK9uIAAGAIEJiAQ7y7p0kSgSmaBJtzrNpLYAIAAOFHYAJ6uTu82lbbKkk6ekyOxdVgoI7q/V6tKj8gv9+0uBoAABBrEqwuYCh5PB55PJ6+j1taWiysBpHuvX1NMk1pXF6q8tOdVpeDAZpenKEkh03NHV7tbmjXhII0q0sCAAAxJKZnmJYsWaLMzMy+m8vlsrokRLB39waW4zG7FF0cdptKS7IkSav2NVlbDAAAiDkxHZgWL14st9vdd6uoqLC6JESw4P6lY8YSmKLN0b2NH1ayjwkAAIRZTC/JczqdcjpZWoXD6+z2aUOlWxKBKRoFZgV39YVeAACAcInpGSZgoNZUHFCP39SIjCSVZCdbXQ6O0NzR2bIZUnlTh2rcXVaXAwAAYgiBCdD7l+MZhmFxNThS6UkOTSvOkHRwLxoAAEA4EJgASSuDDR9Yjhe1jhmTK0l6d0+jxZUAAIBYQmBC3PP6/Fq9r1mSdAwd8qJWcO8Z+5gAAEA4EZgQ9zZWudXp9SkrxaGJnOETtYKd8rbXtulAe7fF1QAAgFhBYELcC85IHDU6RzYb+5eiVW6as+/Q2pXsYwIAAGFCYELce3t3YM/LseNYjhftWJYHAADCjcCEuOb1+bWy98X1/PG5FleDUAX3oDHDBAAAwoXAhLi2scqt9m6fMpMdmjoiw+pyEKLgDNPG6ha1eXosrgYAAMQCAhPiWnA53ryx7F+KBcVZyRqZlSyf39SqfQesLgcAAMQAAhPi2ordLMeLNceOC3wv397FeUwAACB0BCbELa/Pr/d697oEX2Qj+gXDb3D2EAAAIBQEJsSt9ZXN6uj2KTvFocmF6VaXgzAJBqaNVW61dnktrgYAAEQ7AhPiVnA53rHjctm/FENGZiVrdG6KfH6TbnkAACBkBCbEreAeF5bjxZ757GMCAABhQmBCXPL0+PTePho+xKrg9/QtAhMAAAgRgQlxaW15s7q8fuWlJWpiQZrV5SDMgjNMm/e3qLmj2+JqAABANCMwIS69ubNBknTc+DwZBvuXYk1BRpLG56fKNKV39rCPCQAADB6BCXFpeW9gWjAhz+JKMFT62ouzLA8AAISAwIS409Ll1bqKZknS8RMJTLFq/rjA95bABAAAQkFgQtx5e1ej/KY0Li9VI7OSrS4HQ+TYcTmSpG21rapv9VhcDQAAiFYEJsSd4P6lBcwuxbTcNKemF2dIOvg9BwAAOFIEJsSdN3YEXjwfz/6lmBcMxct21FtcCQAAiFYEJsSVquZO7W5ol83g/KV4sHBivqRASDZN0+JqAABANCIwIa682Tu7VObKUkaSw+JqMNTmjs5WksOmulaPtte2WV0OAACIQgQmxJU3eveynMByvLiQ5LBr3tjATOJyluUBAIBBIDAhbvj9Zt/mf/YvxY8TevcxLd9B4wcAAHDkCEyIGxuq3Gps71aaM0FzRmdbXQ6GyQm9+5je2dOoLq/P4moAAEC0ITAhbizdFliSdfyEXDns/OjHi0mFaSpId6rL69eqfQesLgcAAEQZXjUibizdXidJOmlygcWVYDgZhtHXXpxleQAA4EgRmBAXmtq7tbaiWZJ04uR8a4vBsAu2F399O40fAADAkSEwIS4s31Ev05SmjEhXUWay1eVgmJ0wMU+GIW3Z36L97k6rywEAAFGEwIS4ENy/xOxSfMpNc2qWK0vSwZ8FAACAgSAwIeb5/aaW9S7FWjSJ/Uvx6uTevWuvbq2zuBIAABBNCEyIeYe2Ez9qDO3E49VJUwKB6c2dDfL00F4cAAAMDIEJMS+4BGvBhDzaicex6cUZKsxwqqPbp3d2N1ldDgAAiBIx/erR4/GopaXlfTfEn1e31kqSFrF/Ka4ZhtHXUp5leQAAYKBiOjAtWbJEmZmZfTeXy2V1SRhmtS1dWlfplmFIp0wttLocWCy4LO+1bXUyTdPiagAAQDSI6cC0ePFiud3uvltFRYXVJWGYvbQ5MLs0y5Wl/HSnxdXAasdPyJPDbmhfY4d2N7RbXQ4AAIgCMR2YnE6nMjIy3ndDfHl5SyAwnTaN2SVIac4EzRubK0l6dQvL8gAAwOHFdGBCfGvz9OitnY2SpNNYjodep0wNLMsLzj4CAAB8HAITYtay7fXq9vk1JjdFEwrSrC4HEeL06SMkSSv3Nam+1WNxNQAAINIRmBCzXt58cDmeYRgWV4NIMTIrWaUlmTLNg0s2AQAA+kNgQkzq8fn16rbAHpVTWY6HDzijd5bphU01FlcCAAAiHYEJMWnl3gNq7vAqO8WhuaOzrS4HEeaM6YEQ/dbORrV2eS2uBgAARDICE2JScObg5CmFSrDzY473m1CQrnH5qer2+fXatnqrywEAABGMV5KIOX6/qec27pcknT1zhMXVIFL1LcvbyLI8AADQPwITYs6q8gOqbfEo3ZmgBRPzrC4HEerM3sC0dFudurw+i6sBAACRisCEmPPM+sDs0mnTCuVMsFtcDSJVaUmmijKT1N7t0/IdDVaXAwAAIhSBCTHl0OV455QWWVwNIplhGDprRuBn5Ol11RZXAwAAIhWBCTGF5Xg4EufPKpYkvbS5Vh3dPRZXAwAAIhGBCTGF5Xg4EmUlmRqVk6JOr0+vbKmzuhwAABCBCEyIGe/vjsdyPByeYRg6r4xleQAAoH8EJsSMlXub+pbjnTCJ5XgYmPPKAsvylm6rVwuH2AIAgA8gMCFmPLG2SpJ05owRLMfDgE0ZkaFJhWnq9vk5kwkAAHwIgQkxocvr0/969y9dOGekxdUg2pxXGphlerr3ZwgAACCIwISY8OrWOrV29agoM0nHjs21uhxEmeCyvDd3NqiutcviagAAQCQhMCEmPL4msBzvglkjZbMZFleDaDMmL1VzRmXJ5zf1+Ooqq8sBAAARhMCEqHegvVtLtwVaQl/EcjwM0iVHuSRJD6+qlGmaFlcDAAAiBYEJUe9/G/bL6zM1rShDkwrTrS4HUerc0iIlOWzaWdemtRXNVpcDAAAiBIEJUe/x1ZWSmF1CaNKTHDprRuBMpodXVVpcDQAAiBQEJkS1HbWtWl3eLLvN0Pm9G/eBwbpkbomkwCG2XV6fxdUAAIBIQGBCVLv/3QpJ0slTClSQkWRxNYh2x47LVUl2slq7evTCJs5kAgAABCZEsS6vT4+tCSyd+vQxoyyuBrHAZjP0yTmBWaYHesM4AACIbwQmRK0XNtWoucOr4swkLZyUb3U5iBGXHFUimyG9vbtRO+tarS4HAABYjMCEqHX/u+WSpEuPdsnO2UsIk5LsFJ0ytVCSdPfb+yyuBgAAWI3AhKi0p6FdK3Y3yWZIl/aenwOEy+fmj5YkPbq6Sm2eHourAQAAViIwISo90Du7tGhygYqzki2uBrHm+PF5GpeXqjZPjx5fU2V1OQAAwEIEJkSdzm6fHlgZ2JB/Oc0eMARsNkOfPTYwy/Tft/bKNE2LKwIAAFYhMCHqPLamUu5Or0blpOjkKQVWl4MY9cm5JUpJtGtHXZtW7G6yuhwAAGARAhOiit9v6q439kiSrjxuDM0eMGQykx36xOyRkqQ739htcTUAAMAqBCZEleU7G7Srvl1pzgRdclSJ1eUgxl29YKwMQ3p5S52219JiHACAeERgQlQJzi5depRL6UkOi6tBrBufn6Yzpo2QJN3xOrNMAADEIwITosbOuja9vr1ehhFYjgcMh2sWjZckPbm2StXNnRZXAwAAhhuBCVHjjtd3SZJOnVqoUbkpFleDeDHLlaVjx+Wox2/qzt4ZTgAAED8ITIgKFU0dfefhfLX3HX9guFxzYuBn7v53y9Xc0W1xNQAAYDjFdGDyeDxqaWl53w3R6Y5lu9TjN7VgQp7mjMq2uhzEmRMn5WtaUYY6un36x3L2MgEAEE9iOjAtWbJEmZmZfTeXy2V1SRiE2pYuPfRepSTpGydPsLgaxCPDMHTtqRMlSf96c68a2jwWVwQAAIZLTAemxYsXy+12990qKiqsLgmD8I9lu9Xd49fRY7I1b2yO1eUgTp02rVBlrix1dPv0l9d2WV0OAAAYJjEdmJxOpzIyMt53Q3RpaPPo3nfKJUnfOHmiDIODamENwzD03dMnSZLuWbGPjnkAAMSJmA5MiH63v7pTnV6fykoytXBintXlIM4tmJCneWNz1O3z60+v7rC6HAAAMAwITIhY+xrbde87+yRJ3z9zCrNLsJxhGPreGZMlSQ+9V6ntta0WVwQAAIYagQkR67YXt8vrM7VwUr6Om8DsEiLDUWNydPq0Qvn8pm54epNM07S6JAAAMIQITIhIG6vcempdtSTp+2dOtrga4P1+fM40JSbY9ObORr2wqdbqcgAAwBAiMCHimKapJc9tkSR9YlaxphdnWlwR8H6jclP0lYXjJEk3PbNZXV6fxRUBAIChQmBCxHluY43e3NmoRLtN3zmd2SVEpq8uGq+izCRVHujU35dxmC0AALGKwISI0u7p0Y1Pb5YkXXPiOLlyUiyuCPhoKYkJWnz2VEnS7a/t1M66NosrAgAAQ4HAhIjyx1d2qKalS66cZH3tpAlWlwN8rPNKi7Rocr66e/z63iPr5PPTAAIAgFhDYELE2F7bqjvf2CNJ+vl505XksFtcEfDxDMPQLy+cqTRngtaUN+tfb+6xuiQAABBmBCZEBJ/f1OLHNqjHb+rUqYU6ZWqh1SUBA1KclawfnRNYmvfrF7ZpT0O7xRUBAIBwIjAhIvxj+W6t2ndAac4E/fz8aVaXAxyRTx3t0vETcuXp8evbD6yRp4eueQAAxAoCEyy3raZVv31xuyTpp+dOU0k2jR4QXQzD0K8vLlNWikPrK9265bmtVpcEAADChMAES3X3+HX9Q2vV7fPrlCkFuuSoEqtLAgalOCtZt11SJkn615t79fzGGosrAgAA4UBggqV+8+I2bapuUVaKQ0s+OVOGYVhdEjBop0wt1Jd7D7T93iPrtJf9TAAARD0CEyzz/Mb9fQd+3nJRqQrSkyyuCAjd986YrDmjstTa1aOr/rNS7g6v1SUBAIAQEJhgiV31bfruw+slSV9eOE5nzhhhcUVAeDjsNv3ts3NVnJmk3fXt+uq9q+T1+a0uCwAADBKBCcOuzdOjr96zSm2eHh0zNkf/d8Zkq0sCwqogI0n//PzRSk20661djfrx4xtlmhxqCwBANCIwYVh5fX599Z5V2l7bpvx0p27/9Gwl2PkxROyZVpyhP316tmyG9OB7FbrpmS2EJgAAohCvVDFsTDNwOO3yHQ1Kdth15+ePYt8SYtrJUwq15KKZkqQ739ijX7+wjdAEAECUITBh2Nz24nY9sqpSdpuhv3xmjkpLsqwuCRhylx09SjdeMF2S9Jelu/Tbl7YTmgAAiCIEJgw50zT125e26/bXdkqSbv7EDJ00pcDiqoDh87n5Y/Tjc6ZKkv706k796ImN8vkJTQAARAMCE4aUaZq67cXt+uMrOyRJi8+aok8dM8riqoDh98UTxukXF0yXYUj3vVOur927Sl1en9VlAQCAwyAwYcj4/KZ+8b8tfTNLPz5nqr5y4niLqwKsc8X8Mfrzp+co0W7TC5tqdekdb6uqudPqsgAAwMcgMGFItHt69JW7V+muN/dIkn523jR98YRxFlcFWO/smUX679XHKDvFofWVbp33pzf05s4Gq8sCAAD9IDAh7KqaO3XpHW/r5S21Skyw6U+Xz9YXjh9rdVlAxDh2XK6e+sYCzRiZoab2bl1x5zv69Qtb1d3DAbcAAEQaAhPC6vmNNTr7D8u1qbpFuamJuv9Lx+q8smKrywIijisnRY9cc5wumVsivyn9+bVd+sSf39S2mlarSwMAAIcwzDjqb9vS0qLMzEy53W5lZGRYXU5Maff0aMlzW3TPinJJUpkrS7dfPluunBSLKwMi33Mb9uuHj2/QgQ6vHHZDVy0Yq2+dPFGpzgSrSwsbnn8BANGKwISQvbS5Vj97cqOq3V2SpK+cOE7fPX2yHHYmMIGBqmvt0o8f36gXN9dKkkZkJOkHZ03R+WXFstkMi6sLHc+/AIBoRWDCoG2vbdWvnt+ql7fUSZJcOclacmGpFkzMs7gyIHq9sqVWP396kyqaAt3zpoxI13dOn6xTpxbIMKI3OPH8CwCIVgQmHLF9je364ys79diaSpmmlGAz9OWF4/TNkycqOdFudXlA1Ovy+nTnG3v0t9d3qbWrR1IgOH3phHE6r6xYiQnRN3vL8y8AIFoRmDAgpmlq5d4D+ufy3XppS62CPzVnzRih75w+WRMK0qwtEIhB7g6v7li2S/9+a686ugOH3BZmOHXZUS5derRLJdnRs0eQ518AQLQiMOFjVTV36ok1VXp0daV217f3fX7R5Hxdd+oklbmyrCsOiBPuDq/ufXef/vXmXtW3eiRJhiEtmJCn88qKdcb0EcpMdlhc5cfj+RcAEK0ITHifHp9fm/e36LWt9Xp5S602VLn7/i7JYdOFs0fq6gVjNaEg3cIqgfjk6fHpxU21uv/dcr21q7Hv84l2m46bkKuTpxTopMkFEdmdkudfAEC0IjDFMdM0Vd/m0aaqFm2ocmtN+QG9t/eAWj09fV9jGNLRY3J08ZwSnTVzhNKTIvtdbCBe7Gts11Nrq/W/9fu1rfb9ZzeVZCfr6DE5OmpMto4anaOJBWmWd9rj+RcAEK0ITDHM0+OTu8OrmpYu1bi7VNvSpZqWLu13d2lvQ7t21bfL3en90P3SkxJ07LhcnTa1UCdNKVB+utOC6gEM1I7aVr2ytU6vbqnTqvID8vnf/7SekZSgMleWJhaka0JBmiYWpmliQZqyUhKHrcZ4e/4FAMSOuAxMr6zdo5T0dPlNUzIlvymZMmWakt80ZSow+2Ka+tDn/KbU4zfl8/vV4zPV4w/cfD7/wT/7zd6/87/vY79p9o3hNwMf+/3BPwfHN+ULXvN9f3/o/Q75Wn/v5/2mOr0+tXl61NbVo9auHnX7/Id9TAxDGp+fppkjMzVzZKaOGZujqUUZssfAuS9APGrz9GhN+QGt3HtAq/Y1aU15c1/DiA/KTU1UcVayCjOSVJjh1IiMJBVmJCkzxaEEmyG7zVCCzSZ775+l3udGBZ4bTQWeQw/92Oz7OPB16v18W2urLjhmIoEJABB1YjoweTweeTyevo9bWlrkcrnkuvYh2ZyRt8Z/KNgMKT/94AuhEZmB/x+dm6Lx+Wkam5eqJAetwIFYFdyXuGV/i3bUtmlnfZt21LapqrlzWOvwezpU8ftLCUwAgKiTYHUBQ2nJkiW64YYbPvT5MbkpciSnyjAM2QzJkCHD0MGPDclmGDIU+NyhH9uM3ndd7UbvO7A2OezBd2INJdhth7wze/Bjm82QvW98Q7beP9tsh/z5kGvZbR/xtYbR+/Xv/9rg3ycn2pWelKA0p0NpSQlKcwZuzBYB8SvBblNpSZZKS7Le9/l2T4/2NLT3LdWtbfGo1h34c5unJzBj7vMHZsh7Z8olyej9n+Dz46HPoer9XODvem+9f9fTmaCKYfzvBgAgXOJyhol3OAFgeLGHCQAQrWJ6hsnpdMrppGEBAAAAgMGxWV0AAAAAAEQqAhMAAAAA9IPABAAAAAD9IDABAAAAQD8ITAAAAADQDwITAAAAAPSDwAQAAAAA/SAwAQAAAEA/CEwAAAAA0A8CEwAAAAD0g8AEAAAAAP0gMAEAAABAPxKsLmA4maYpSWppabG4EgCIL8Hn3eDzMAAA0SKuAlNra6skyeVyWVwJAMSn1tZWZWZmWl0GAAADZphx9Haf3+9XdXW10tPTZRiGZXW0tLTI5XKpoqJCGRkZltURjXjsBo/HbvB47AYv+NiVl5fLMAwVFxfLZmM1OAAgesTVDJPNZlNJSYnVZfTJyMjgxdcg8dgNHo/d4PHYDV5mZiaPHQAgKvE2HwAAAAD0g8AEAAAAAP0gMFnA6XTqZz/7mZxOp9WlRB0eu8HjsRs8HrvB47EDAES7uGr6AAAAAABHghkmAAAAAOgHgQkAAAAA+kFgAgAAAIB+EJgAAAAAoB8EJgAAAADoB4EJAAAAAPpBYAIAAACAfhCYAAAAAKAfBCYAAAAA6AeBCQAAAAD6QWACAAAAgH4QmAAAAACgHwQmAAAAAOgHgQkAAAAA+kFgAgAAAIB+EJgAAAAAoB8EJgAAAADoB4EJAAAAAPpBYAIAAACAfhCYAAAAAKAfBCYAAAAA6AeBCQAAAAD6QWACAAAAgH4QmAAAAACgHwQmAAAAAOgHgQkAAAAA+kFgAgAAAIB+EJgAAAAAoB8EJgAAAADoB4EJAAAAAPpBYAIAAACAfhCYAAAAAKAfBCYAAAAA6AeBCQAAAAD6QWACAAAAgH4QmAAAAACgHwQmAAAAAOgHgQkAAAAA+kFgAgAAAIB+EJgAAAAAoB8EJgAAAADoB4EJAAAAAPpBYAIAAACAfhCYAAAAAKAfBCYAAAAA6AeBCQAAAAD6QWACAAAAgH4QmAAAAACgHwQmAAAAAOgHgQkAAAAA+kFgAgAAAIB+EJgAAAAAoB8EJgAAAADoB4EJAAAAAPpBYAIAAACAfhCYAAAAAKAfBCYAAAAA6AeBCQAAAAD6QWACAAAAgH4QmAAAAACgHwQmAAAAAOgHgQkAAAAA+pFgdQHDye/3q7q6Wunp6TIMw+pyACBumKap1tZWFRcXy2bjvbpD8bsJAKwx0N9NcRWYqqur5XK5rC4DAOJWRUWFSkpKrC4jovC7CQCsdbjfTXEVmNLT0yUFHpSMjAyLqwGA+NHS0iKXy9X3PIyD+N0EANYY6O+muApMwaUOGRkZ/FICAAuw5OzD+N0EANY63O8mFpIDAAAAQD8ITAAAAADQDwITAAAAAPSDwAQAAAAA/SAwAQAAAEA/CEwAAAAA0A8CEwAAAAD0g8AEAAAAAP0gMAEAAABAPwhMAAAAANAPAhMAAAAA9CPB6gIAAIgnHo9HHo+n7+OWlhYLqwEOr6HNo7XlzfKZpk6YmKeURF4+Ir7wEw8AwDBasmSJbrjhBqvLAD6WaZp6YGWF/rp0l8qbOvo+n+yw65SpBfrC8WM0d3SOhRUCw8cwTdO0uojh0tLSoszMTLndbmVkZFhdDgDEDZ5/D/qoGSaXy8Vjg4jR2e3Tj57YoMdWV/V9bkJBmrw+v/Y1BsKT3WboV58s1SfnllhVJhCygf5uYoYJAIBh5HQ65XQ6rS4D+Ei1LV36/F3vamtNq2yG9L0zpugzx45SRpJDpmlqfaVbdyzbpWc31Og7D69TfZtHX1k4ToZhWF06MGRo+gAAAAD1+Pz6xn2rtbWmVXlpibr3i8fqq4vGKyPJIUkyDENlrizdfvkcfXnhOEnSLc9t1e2v7rSybGDIEZgAAACg37y4XSv3HlCaM0EPX3Oc5o/P/civs9kM/fDsqfrh2VMkSb97ebtWlx8YzlKBYRW1gWnJkiUyDEPXXnut1aUAAABEtde21ulvr++SJN36yVKNzUs97H2+vHC8PjGrWH5Tuv7Btero7hnqMgFLRGVgWrlypf7+97+rtLTU6lIAAACiWmObR9c/tFaS9Ln5o3VOadGA73vD+TM0IiNJexs7tOTZrUNUIWCtqAtMbW1t+sxnPqN//OMfys7OtrocAACAqHb7azt1oMOrKSPS9aNzph7RfTNTHPrNJWWSpLtX7NNbOxuGokTAUlEXmL7+9a/rnHPO0amnnmp1KQAAAFGtoqlD96zYJ0n68TnT5EywH/EYCybm6bPHjpIk3frCNsXRiTWIE1HVVvyBBx7Q6tWrtXLlygF9PaepAwAA9O+3L22X12dqwYQ8LZiYN+hxvn3KJD26qkrrKpr12rY6nTylMIxVAtaKmhmmiooKffvb39Y999yjpKSkAd1nyZIlyszM7Lu5XK4hrhIAACA6bKp264m1gcNpv3/mlJDGyk936nPzR0uSfvfSDmaZEFOiJjCtWrVKdXV1mjt3rhISEpSQkKDXX39df/zjH5WQkCCfz/eh+yxevFhut7vvVlFRYUHlAAAAkefXL2yTaUrnlRVrZklmyON9eeE4pSTataHKrZe31IWhQiAyRM2SvFNOOUUbNmx43+e+8IUvaMqUKfr+978vu/3Da245TR0AAODDdtS2aum2etkM6TunTQrLmLlpTl153Bj9Zeku/fal7TplSoFsNiMsYwNWiprAlJ6erhkzZrzvc6mpqcrNzf3Q5wEAANC//74daPRw6tRCjRnAmUsD9aUTxum/b+/Tlv0tWr6zQSdOyg/b2IBVomZJHgAAAELX0uXVo6srJUlXHjcmrGNnpybq4rklkqT73tkX1rEBq0TNDNNHWbp0qdUlAAAARJXHVlWqo9unCQVpmj8+N+zjf3reKP37rb16eUudatxdGpE5sGZdQKRihgkAACBO+P1m33K8z88fLcMI/x6jSYXpOmZMjnx+Uw+upOEWoh+BCQAAIE68uatBuxvaleZM0IVzSobsOp/pPcj2gZXl6vH5h+w6wHAgMAEAAMSJe1eUS5IunluiNOfQ7cw4c8YI5aQmar+7S0u31Q/ZdYDhQGACAACIA+5Or17dFjgf6dKjXEN6LWeCva/5wz00f0CUIzABAADEgRc21ai7x69JhWmaWpQ+5Ne7/JjAsrxl2+tV3+oZ8usBQ4XABAAAEAeeXFslSbpg1sghafbwQWPzUlVWkim/KT23cf+QXw8YKgQmAACAGFfX0qW3djVKks4vKx62657Xe63/rSMwIXoRmAAAAGLc0+v3yzSlOaOy5MpJGbbrnj2zSJK0cl+T9rs7h+26QDgRmAAAAGLcU73L8T4xe+SwXrc4K1lHjc6WaUrPrGeWCdGJwAQAABDD9jS0a12lW3ab0TfjM5z6luURmBClCEwAAAAx7NkNgaBy/IQ85aU5h/36Z80cIZshra1oVkVTx7BfHwgVgQkAACCGvbS5VpJ05vQRlly/ID1J88bmSpKe2cAsE6IPgQkAACBG1bV2aW1FsyTplKkFltVxbllgKeBzG2ssqwEYLAITAABAjHp1S50kqawkU4UZSZbVcerUQknS+spmDrFF1CEwAQAAxKiXtwSW4wUDi1UKM5I0c2SmTFN6bVudpbUAR4rABAAAEIM6u31avqNBknTqNGsDk3RwSeArvSEOiBYEJgAAgBj0xs4GeXr8GpmVrCkj0q0uR6dMCYS25Tsa5OnxWVwNMHAEJgAAgBj0cm93vNOmFcowDIurkaYXZ6gg3amObp9W7G6yuhxgwAhMAAAAMcbvN/XK1sjYvxRksxl9y/JeZVkeogiBCQAAIMasr3Kroa1b6c4EHTM2x+py+pzcuyzv5S11Mk3T4mqAgSEwAQAAxJjl2+slScdNyFViQuS83Du+t56q5k5tr22zuhxgQCLnXxAAAADCYvnOQHe8EybmW1zJ+6UkJuj48bmSpFe30l4c0YHABAAAEEPaPD1ave+AJGlhhAUmSVo4KVDTm72hDoh0CVYXAABAPPF4PPJ4PH0ft7S0WFgNYtGKXY3q8ZsalZOiUbkpVpfzISdMzJMkvbu3SV1en5IcdosrAj4eM0wAAAyjJUuWKDMzs+/mcrmsLgkx5o2+5Xh5Flfy0cbnp6kww6nuHr9W7qW9OCIfgQkAgGG0ePFiud3uvltFRYXVJSHGLNsRaPgQafuXggzD0IIJgdreYFkeogCBCQCAYeR0OpWRkfG+GxAuVc2d2l3fLrvN0Pze5gqRaMHEQG1v7CAwIfIRmAAAAGLEG72zS2UlmcpMdlhcTf+OnxBYLripukVN7d0WVwN8vKgJTH/9619VWlra927c/Pnz9dxzz1ldFgAAQMRYtiMy24l/UEF6kqaMSJdEtzxEvqgJTCUlJbrlllv03nvv6b333tPJJ5+sCy64QJs2bbK6NAAAAMv5/abeivCGD4cKzjKxLA+RLmoC03nnnaezzz5bkyZN0qRJk3TzzTcrLS1NK1assLo0AAAAy22va9WBDq9SEu0qc2VZXc5hLegNdW/sbJBpmhZXA/QvKs9h8vl8evjhh9Xe3q758+f3+3WcdQEAAOLFil2NkqS5o7PlsEf+e+LzxubIYTdU1dypvY0dGpuXanVJwEeK/H9Nh9iwYYPS0tLkdDp1zTXX6PHHH9e0adP6/XrOugAAAPFixe7AmUbHjovc7niHSklM0GxXtiTpnd2NFlcD9C+qAtPkyZO1du1arVixQl/96lf1+c9/Xps3b+736znrAgAAxAO/39S7e6MrMEnSvHE5kqR39nCALSJXVC3JS0xM1IQJEyRJRx11lFauXKk//OEPuuOOOz7y651Op5xO53CWCAAAMOx21LWpqb1byQ67SksyrS5nwOaNzdWftFPv7G6UaZoyDMPqkoAPiaoZpg8yTfN9e5QAAADi0YreJW1HjYmO/UtBc0ZnKcFmqNrdpcoDnVaXA3ykqJlh+uEPf6izzjpLLpdLra2teuCBB7R06VI9//zzVpcGAABgqWBgmjc2x+JKjkxKYoJKSzK1urxZK3Y3ypWTYnVJwIdEzVsQtbW1uuKKKzR58mSdcsopeuedd/T888/rtNNOs7o0AAAAy5im2bcHKJr2LwXN662ZfUyIVFEzw3TnnXdaXQIAAEDECe5fSnLYVFqSZXU5R2ze2Bz9dekuvbOHTnmITFEzwwQAAIAPCy7Hmzs6W4kJ0ffS7qgxObLbDFU0daq6mX1MiDzR968KAAAAfd7pPX9p3tjoW44nSWnOBM0YGejsxywTIhGBCQAAIEqZpqmVvecvHRNlDR8OdWxv7cHwB0QSAhMAAECUqjzQqbpWjxJshsqicP9SEAfYIpIRmAAAAKLUe/sCAWPGyEwlJ9otrmbwjhqTI8OQ9jS0q76VMzYRWQhMAAAAUWrl3gOSpKNGZ1tcSWgykhyaXJguSVq174DF1QDvR2ACAACIUquCgWlMdAcmKdDlT5JW7WNZHiILgQkAACAKuTu82l7XKkmaOzp6Gz4EBUPfe8wwIcIQmAAAAKLQ6vIDMk1pTG6K8tOdVpcTsrmjAqFvY5VbXV6fxdUABxGYAAAAolCw4UMszC5JkisnWfnpTnl9ptZXuq0uB+hDYAIAAIhC7/XuXzo6BvYvSZJhGH3NK95jHxMiCIEJAAAgynT3+LW2ollSbDR8CAo2fgiGQSASEJgAAACizKZqtzw9fmWnODQ+P83qcsLmqDGB5YWr9h2Q329aXA0QQGACAACIMsGziuaOzpZhGBZXEz7TizOU5LDJ3enVrvo2q8sBJBGYAAAAos6a3uV4s0fFznI8SXLYbSoryZJEe3FEDgITAABAlFlb3ixJmuXKsrSOodB3HhP7mBAhCEwAAABRpL7Vo6rmThmGVFqSaXU5YRds/LCmgsCEyEBgAgAAiCLB7ngT8tOUnuSwtpghEFySt7u+Xe4Or7XFACIwAQAARJW1vTMvsbgcT5Jy05walZMiSVpX2WxtMYAITAAAAFElOMM0a1SWpXUMpWAYDP63AlYiMAEAAEQJv9/U+gq3pNidYZIITIgsBCYAAIAosau+Ta2eHiU77JpcmG51OUMmOHu2tqJZpskBtrAWgQkAACBKBM9fmjkyUwn22H0ZN60oQw67oab2blU0dVpdDuJc7P5LAwAAiDHxsH9JkpIcdk0rypBEe3FYj8AEAMAw8ng8amlped8NGKhYPrD2g9jHhEhBYALihGma8vv9VpcBxL0lS5YoMzOz7+ZyuawuCVGis9unbbWtkuIkMB2yjwmwUoLVBQAYnO6ublXt2K/KHTWqL29QXXm9GvcfUHN9i1oaWtXu7lBnW5c627rk8/bI7w9smjUMQwkOuxxJDqVmpCg5PUnpOWnKLsxSVn6G8kpyVTg6XyPG5KtkcrGy8mPvFHnASosXL9b111/f93FLSwuhCQOyocotn99UQbpTRZlJVpcz5Ga5siVJm6pb1N3jV2IC7/PDGgQmIMKZpqmavXXa9u5O7V6/T3s3VWjvxgrV7KkbVOcg0zTl7e6Rt7tHHS2H30ibkZsu15RijZk+SmNmuDRh9lhNnDNWzmTnYP5zgLjndDrldPLvB0fu0ANrDcOwuJqhNyY3RVkpDjV3eLVlf4vK4mBWDZEpagLTkiVL9Nhjj2nr1q1KTk7Wcccdp1tvvVWTJ0+2ujQgrEzT1J4N5Vr72katW7pJm97cKndD60d+bWpmikomFWnE2ALll+Qpb2SOsgoylZmfobSsFCWnJSkpNUkJiQmy2W2y2Qz5enzq6e5Rd5dXHa2dand3qLWpTQdq3TpQ06y6ygbV7WvQ/t21qitvUEtjqza9uU2b3tzWd12b3aZxpaM14/gpKjtpukoXTlNGbuy2twWASBAvDR+CDMPQLFeWlm6r19qKZgITLBM1gen111/X17/+dR199NHq6enRj370I51++unavHmzUlNTrS4PCEl3V7fWvLJBbz/1nlY8s0qN1e/vCJTgsGtc2RhNnD1WY2aO0pjpLo2eVqKsgswhfZexs71LVdv3q3xrlfZsKNeeDfu0Y9VuNdU0a+eaPdq5Zo+euP05GYahKfMmaN7Zc3XseXM1rnR0XLz7CQDDKZ4aPgQdGpg+b3UxiFtRE5ief/759338r3/9SwUFBVq1apUWLlxoUVXA4Hk6PVrx9Cotf2yF3n12jTrbuvr+LinFqRknTFHZohkqXThVE2aPVWJS4rDXmJyapAmzx2rC7LHS5YHPmaap+spGbVmxQ+tf36R1Szdp3+ZKbVmxQ1tW7NC/f/qARozJ1/zzj9aCi+ZpxoIpstlYdw4Aoahr6VK1u0uGIZWWZFldzrChUx4iQdQEpg9yu92SpJycnH6/xuPxyOPx9H1M61ZYzTRNbXprm16461Ute3TF+/YQ5Y3M0XEXHK1jz52rskXTLQlIA2EYhgpceSpw5enES+ZLkhqqGvXus2v09v/e0+qX1qtmb70e/+OzevyPzyrflauTPrVAZ3zhJI2aMtLi6gEgOgUPrJ1UkK40Z9S+fDtiwcC0p6FdzR3dykqJzN+NiG1R+S/ONE1df/31WrBggWbMmNHv1y1ZskQ33HDDMFYGfLTO9i69dt8bevIvz2v3un19ny8cna9Flx2nBRfN06SjxkftTEzeyFyd/aVTdfaXTlVne5fWvLxBbz75rt547B3VVzTqoV8/qYd+/aTKFk3XuV85TcdfeIwciQ6rywaAqNG3fymOluNJUlZKosbmpWpPQ7vWVjRr0eQCq0tCHIrKwPSNb3xD69ev1xtvvPGxX0frVlitrrxeT97+vJ795ytqa26XJDmTE7XosuN1+pWLYnK5WnJqko674Ggdd8HR+vZfvqQV/1ull+5+Xe8+s1rrlgaW8GUXZuqcL5+mc75ymvKK+58lBgAE9O1fipOGD4ea5crSnoZ2rSknMMEaUReYvvnNb+qpp57SsmXLVFJS8rFfS+tWWGX/7lrdc9MjevnuZfL7AofFFk8YoXO/crrO+MIiZeTER0e5xKRELbx4vhZePF91FQ169h8v6/m7XlVj9QHd84tH9MAtj+v0zy/SpxZfqKKxhVaXCwARyec3tb6yWVL8zTBJgf/mx9dUsY8JlomawGSapr75zW/q8ccf19KlSzV27FirSwI+pHZfve75xSN68T9L+4LSrJNn6JPXnqtjzp4dc7NJR6LAlacrb/yUPvuTi/Xm4+/q8T89q01vbtOz/3xFz//rNZ12xYn6zI8/qaJxBCcAONTOuja1d/uUkmjXpML4eMPtUMGQuK6yWaZp0oUVwy5qAtPXv/513XfffXryySeVnp6umpoaSVJmZqaSk5Mtrg7x7kBts+67+TE98/eX5O3ukSQdfeYsXfGzSzV13kSLq4ssCY4EnXjpcTrx0uO08Y0tuuemR7XqxXV64d+v6eV7lumMKxfpsz+9RPkluVaXCgARIXhg7cyRmbLb4i8sTC3KUGKCTc0dXu1t7NDYPI6TwfCKmre7//rXv8rtdmvRokUqKirquz344INWl4Y41uPt0cO3Pa0rJ31LT9z+nLzdPZp18gz94c2b9Mtnf0RYOowZC6bqlud/rD++/UsddUaZfD0+PfvPV/SFyd/S3Tc+LE+n5/CDAECMi7cDaz8oMcGm6cUZkg6GR2A4Rc0Mk2maVpcAvM/qVzbo9m/eqYqtVZKkSUeN19VLPqM5p8y0uLLoM3XeRC157sfa+OZW3fXD+7Rh+Rb99+cP6fm7XtU1t31eCy6axxIMAHFrbUXgKJXZcbh/KWiWK0trypu1trxZF87++D3sQLhFTWACIkVzvVt/+85/9Mo9yyVJWfkZunrJZ3T6lYvieo9SOMw4fopuW3qDlj38tv7+f3errrxBN15ym44+a7a+8cerVDx+hNUlAsCw6uz2aXttqySpLM4Dk8QBtrAGr+6AATJNU6/e/4aumnqtXrlnuQzD0AVfP1P/2vZHnXnVyYSlMDEMQydeepzu3Px7febHn5QjMUErn1ujL828Xo/89mn5fD6rSwSAYbN5f4t8flP56U6NyEiyuhzLzHZlSwo8Hl1efg9gePEKDxiA5nq3fnHpbVrymT+otalN48pG649v36xv/OlqpWWx+XQoJKU4deWNn9Id636j2afMVHeXV3d897/63sk3qHpXjdXlAcCw2NDbTrx0ZGZcL0125SQrNzVRXp+pzftbrC4HcYbABBzGqpfW6cul39HyR9+RPcGuz/38Uv353Vs05RgaOgwH1+SRuvXFn+jbf/2yktOStGH5Fn1l1nf18j3LrC4NAIbc+qrA/qUZIzMtrsRahmGotCTwGGyodFtcDeINgQnoh6/Hp7t+dJ8Wn3mzDtS6NWa6S39a8Utd8dNLlOBg+99wMgxD537lNP19/W2auXCquto9uvVzf9Kvr/qzOtu7rC4PAIbMxt7AFAwL8ay0JEtS4DwmYDjxqg/4CAfqAkvwNizbIkk69yun6Zrffl7OZKfFlQ1MV5dX7uYOtbV1qa3NI6+3R94en/w+U3a7TQkJNiU6HUpNdSotzamsrBQ5nQ6ryz6sEWMK9OtXfqb7bnpM9/ziYb3476Xa/t4u3fD4/9EQAkDMaff0aGddm6TAGUzxLhga1zPDhGFGYAI+YPuqXfr5hb9WfWWjUtKTdd3fv6JFlx1vdVkf0t3do92767RrV50qyhtVWdmk/dXNamhoU1vbkc+6pKcnKS8vXUXFWSopyZHLlasJEwo0Zmy+EhMj56nCbrfrip9dotITp+nmy3+nvRsr9I1jfqAf3n+djjq9zOryACBsNu9vkd+UCjOcKojjhg9BwRmmXfVtavP0KM0ZOb+bENv4SQMO8er9b+i2q/+i7i6vSiYV6YYnvq9RU0ZaXZYkqaGhVevXV2jjhgpt2lilPXvq5fP5+/16h8OutLQkpaU5lZiYoIQEm2x2m/w+v7xevzzdXrW3e9TW2qWeHr9aW7vU2tqlPXvq3zeO3W7TuHEFmj5jpKbPKFFZ2Sjl5qYN9X/uYZUtmq6/vHerbrj4Nm19Z4d+dPbN+sptn9dF3z7H6tIAICyCMykzR2ZZW0iEyE93qjgzSdXuLm2scuvYcblWl4Q4QWACFGgZft/Nj+nfP31AkjTvnDlafM+3lJppXQc8v9/Uxo2VevutHVq5crf27K7/0NdkZCRr4qRCjRqVJ5crRyNHZisvP0N5eWlKTXUOqKOSaZpqb/eoob5V9fWtqqo6oMqKRu3b16gdO2vU2tKlHTtqtGNHjZ54fJUkaey4fB199DjNP26iZswokc1mTeemvJG5um3pDfrT1/6h5//1mv563b9Vs6dOX7ntc7Lb7ZbUBADhwv6lD5tZkqlqd5fWVzYTmDBsCEyIe95ur35/zd/14r+XSpIu+c55+uKtn7XkXCXTNLV9e41eenGjli3bqsaGtr6/MwxpwoQRmllaohkzSjRlarEKCjJCbjNrGEbvTFSSxozN19EfqKeutkWbN1dp08ZKbdxYpZ07a7Rnd7327K7XQw++o9zcNJ2wcLJOO22GJk8pGva2t4lOh67/51dVMnmk/vmDe/T4H59VfWWjFt/zLSUmJQ5rLQAQTut7mxvMJDD1KS3J0gubarWOfUwYRgQmxLWuDo9uvPg3Wvn8Wtlshr7xp6t13lfPGPY6Wls79eILG/T8cxu0e3dd3+dTU52af9wEzTt2gubOHaPMzJRhrcswDBWOyFThiEyddPI0SZLb3aFVq/bq3RW79NZbO9TY2KYnHl+lJx5fpTFj8nTGWaU688xSZWQkD2udl/3fBcp35eo3X/iz3njsHf3o3CW68cnvKzmVdf8Aok9rl1e7G9ol0fDhUGW9+5hoLY7hRGBC3Gp3t+sn59+qDcu3KCnFqR8/dL3mnT1nWGsoL2/U44+u1IsvblRXl1dSYO/RghMm6ZRTp2vu3LER1XBBkjIzU3TyydN08snT1N3do9Wr9urVVzZp+fLt2ru3QXf89VX9+65lOvXUGbrok0dpzNj8Yavt5MsXKLcoWz+94FatfXWjfnjWzbrpf4uVmjG8QRMAQrWpukWmKRVnJikvLTo6tA6HYHgsb+rQgfZuZaeykgBDL7JeiQHDpKWpVYvPvFnb39ullIxk3fzMDzXj+CnDdv3du+t0791v6fXXt8g0A58bOy5f5503WyefMk3p6cM3OxOKxMQEHTt/go6dP0FtbV1a+toWPf3UGu3cWatnnlmrZ55ZqwUnTNJnrzheEycOT9vvskXTdcuLP9HiM2/Sxje2avGZN2nJ8z8mNAGIKsH9SyzHe7/MFIfG5KZob2OH1le5deKk4XtTDvGLwIS409bcrh+ccZN2rNqtzLx0LXn+x5o4Z9ywXLuqqkl3/uN1vf761r7PHXfcRF108dGaNWvUsO//Cae0tCSde95snXPuLG3cWKlHH1mpN5Zv0xvLt+uN5du14IRJuvqLizRq1NBv0p06b6J+9fJP9YPTf6EtK3boJ+fdol8+9yMlpfAuLYDoEOyQF2yljYNKS7ICgamimcCEYUFgQlzpaO3UD8++WTtW7VZWfoZ+/erPNWa6a8iv63Z36L//eUNPP7VGPp9fhiEtXDhFn/3c8Ro3rmDIrz+cDMPQzJkuzZzp0t69Dbrvnjf12mtb9Mby7XrrzR066+wyfeGqhcrOHtoOhJPmjtetL/1U3zvlBm1YvkU3XfZb/fyx7ynBwdMegMi3oXeGaQb7lz6ktCRTT62r1voq9jFheAx/GzDAIt1d3frpBbdqy4odSs9O1S0v/mTIw5Lfb+p/T6/R56+4Q088vko+n1/z5o3X3/95tX768wtjLix90Jgxefrhjy/QP+78oo47bqL8flPP/G+trvzc3/XUk6s/9hypcJg4Z5xuevoHciYn6p1nVus3V/1Ffv/QXhMAQtXS5dUeGj70q8yVJelgF0FgqBGYEBf8fr9u+dyftG7pJqWkJ2vJCz/R+LIxQ3rNffsa9O1v3a3f/fZ5tbZ2ady4Av3mtsv1y1sujfmg9EFjxuTpFzdfrN/94bOaMLFQbW1d+sPvX9C3vvFf7d3bMKTXnrFgqn7y8HdkT7DrlXuX6+4bHh7S6wFAqIL7l0qyk5VDU4MPmV6cIZsh1bZ4VNvSZXU5iAMEJsSFv3/3v1r+yAolOOy64Yn/0+Sjxg/Ztfx+U488/K6+8qW7tHlTlZKTE/W1r5+iv/39C5o9Z8yQXTcalJa69Je/Xqlvfus0paY6tXXrfl3z5bv0yMPvyu83h+y6886eo2v/9mVJ0j2/eESv3v/GkF0LAEK1oZIDaz9OSmKCJhakSzq41wsYSgQmxLwnbn9Oj/7+GUnS9/71dc06acaQXau+vlXf/c59+utfXpHX69PRx4zTv/7zJX3y4mNkt/PPTZLsdps+ceFRuuvfX9Ix88bJ6/Xpr395Rd/77v1qamo7/ACDdOZVJ+vS754vSfrNVX/R1nd3DNm1ACAU69m/dFjBMMmyPAwHXsEhpq1+ZYP+et2/JUlX//LTOvnTJwzZtVa+u1tf+dKdWre2XElJDl173Zlacsulys/PGLJrRrO8vHT9csmluva6M5WU5NDaNfv05S/epbVr9w3ZNa9a8mkdd8HR8nq8uvHi29RczzuTACJP3wzTyCxrC4lgwcC0jhkmDAMCE2JW9a4a3XTpbfL7/Drtcyfqsu9/Ykiu4/eb+tddy/SD7z8ot7tTEyYU6o5/XKXzzp8d1W3Ch4NhGDrv/Nn629+/oLHj8nXgQLu+9537df/9b8s0w79Ez2636//+8w25JhervrJRN1/+e/l6fGG/DgAMlrvDq/KmDkk0fPg4wXbr6yubh+T3BXAoAhNiUleHRz+78FdqPdCuKcdM0LV/+/KQhJfOzm797KeP6p6735QknX/+bP3pz59TSUlO2K8Vy1yuXN3+58/rzDNL5feb+uffl+rWW/4nrzf8YSY1I0U/e/S7Skp1au2rG/Xfnz8U9msAwGAF24mPyklRZorD4moi15SidDnshpo7vKo80Gl1OYhxBCbEpNu/caf2bqxQzogs/eyx7ykxKfxdhurrW3Xtt+/RW2/ukMNh1w8Wn6tvX3emEhM552cwkpIc+t73z9G3rz1DNpuhl17cqB98/0G1tYW/A9LoaS5d/4+vSpLuX/K41i/bHPZrAMBgrK9qliTNpOHDx3Im2DW1KLDkfR37mDDECEyIOS/d/bpe+PdrstkMLb7328orDv9sT3l5o771zf9q545aZWWl6LbfflqnnT4z7NeJR+dfMEe/XHKpkpMTtXbNPl1/7b1qamoP+3VO+tTxOuPKk2Sapm793J/U1hz+awDAkTq4f4nAdDjBJYt0ysNQIzAhpuzfXas/fu0fkqTP/vSSIemIt3Nnra791t2qq21RiStHf/rz5zR9RknYrxOKTq9Xe5oPaGV1pV7YtUNPbNuiBzdt0L0b1umhzRv05LYtemn3Tq2pqVaF261uX2Tt4zn6mHH6/R8/q+zsVO3aVafrr71HDQ2tYb/O1/7wBRWPL1RdeYP+ct2/wj4+AByp4JI8ZpgOr6x3H9O6imZL60DsY+0QYobf79evr/qzuto9mrlwqj79o4vCfo2tW6v1/e8FlolNmjRCS269TFlZKWG/zkCZpqmKFrfW1dZoXW2NtjbUa3dzk/a3HVl7bpthyJWRqbFZ2ZqWX6CywhGaXVik/NTUIar88CZMKNQf/vRZffc796uioknXX3evfvu7zygvLz1s10hJT9b3//tNXbvgJ3rpP6/rlE+foLmnlYVtfOCjeDweeTyevo9bWlosrAaRpKm9u28/Di3FD6/UFXiMNla55febstlotIShQWBCzHj8D89qw7ItSkp16nt3fV12uz2s42/ftl//990H1N7u0fTpI/XLWy5VWlpSWK8xEJ1er17ft1evl+/R8vJ9qmr96BdbKQ6H8pJTlJuSohSHQ057ghJsNnl9PnX7fGrt7lZjZ4caOjrk8fVon7tZ+9zNWrpvT98Yk3JydcKoMTppzFjNG+lSgm14J6VHjszR737/GX3nuvtUVXlA3/vu/fr9Hz6rzMzwhdRp8yfrgq+fqSduf06/v+bv+vv625ScOvzfV8SPJUuW6IYbbrC6DESg4OzS2LxUZSTR8OFwJuSnKdlhV3u3T7sb2jShIHxvqAGHIjAhJuzfU6t//fh+SdJXfvN5FY0rDOv4+/Y16Pv/96Da2z2aMbNEt9x6mZKTw99Ioj8+v19L9+3RU9u36uU9u9Th9fb9ncNm65sVmpFfqPHZORqbla3s5OQBjW2apuo72rW7+YB2NTVpfV1gtmp7Y4O2NzVqe1Oj7ly7SrnJyTprwiRdNGW6ZhWOGLaW6SNGZOk3v/20rv3WPSrf16gfLX5Yv/ntp5UUxhcTX7j5cr311ErV7KnTfTc/pqt/+emwjQ180OLFi3X99df3fdzS0iKXy2VhRYgUG4PL8ZhdGpAEu03TizP03r4DWlfhJjBhyERVYFq2bJl+/etfa9WqVdq/f78ef/xxfeITn7C6LFjMNE3d/s075ensVtmi6Trny6eGdfy6uhZ9/3sPqKWlU5Mnj9CSWy4dtrDU2NmhBzZu0H2b1qm69eAenpKMDJ06drwWjhqjeSNdSnEMPjwYhqGC1DQVpKbp2JEufUaBJWnNXZ16o6Jcy/bt0ct7dqmxs1P3bFinezas08yCQl0xc5bOnzRFzoShfxopKsrSr37zKX37m3dry5Zq3fSLJ3TDjZ+U3R6eGa+U9GR9/Q9X6WcX/kqP3PaUTv/8iXJNHhmWsYEPcjqdcjqdVpeBCLS+t9tbKfuXBqy0JEvv7TugDVVufXJuZO0nRuyIqqYP7e3tKisr0+233251KYggbzz2jt59do0ciQn69l+/FNaZj/Z2j374g4dUX9+qUaNyteTWy5SSMvQvdOra2/SL5a9pwb//od+seEPVra3KTkrSVbPm6PFLPq1ln/uifrbwZJ00ZlxIYenjZCUl69yJk/WrU8/UO1ddo3+ff5E+MXmqEu12bair1f+98oIW/vef+tfa1fL09AxJDYcaPTpPN918iRITE/T2Wzt1x99eDev4888/SsecPVs9Xp9u/9ZdHIQIYNgFO+Sxf2ngynr3MdFaHEMpqmaYzjrrLJ111llWl4EI4un06I7v/leSdOn/XRDWWQGfz6+bb3pSe/bUKzc3TbfcellY9858lNZuj/688h39a93qvs51pQWF+nzZHJ0zYdKwzOZ8FIfdrhNHj9WJo8fqJycs0kObN+ru9WtV3daqG5e/pjtWr9R35x+vi6ZMl20Il+rNmFmi7//gXP3ixif06CMrNWVKkU4+ZXpYxjYMQ1//w1Va8/J1Wv3Seq16ab2OOp0GEACGR0ObR9XuLhmGNL04w+pyokZw+eLm6hZ5fX45wrTyADhUTP9UeTwetbS0vO+G2PLQr59S7b565Zfk6lM/uDCsY//rrmV6Z8UuJSYm6MabPqnCEUP3jp/fNPXQ5g06+e67dMfqler2+TRnRJH+ff4n9cSln9FFU6ZZFpY+KCc5RdfMPUavfe5q3XzSqSpOS1dte5u+9/ILuviR+7W+tmZIr7/opKm6/NPzJUm3/eY57dlTH7axi8eP0PlfO0OS9M8f3CO/3x+2sQHg4wQbPozLS1U6DR8GbExuqtKTEuTp8WtbTfiPnwCkGA9MS5YsUWZmZt+NTbWxpaG6SQ/e+oQk6Uu/ukJJYVwqt3zZNt1/39uSpO9+72xNmVIctrE/qNzdrMsfe0jff+VFNXR0aExWtv557if0yMWX68TRY4atucKRSrTb9ekZZXr1c1fpB8cvVKrDoTU1+/WJh+7VrW8uk8c3dMv0vnDVQs2ZO0ZdXV7d8LPH1NnZHbaxL//hRUrNTNGutXv12v1vhm1cAPg4fQfW9p4thIGx2Yy+PV/B0AmEW0wHpsWLF8vtdvfdKioqrC4JYfTAksfl6ezWtPmTtOiy48I2bk1Ns379q2ckSZdeNk+nnBqeJV8fZJqm7tmwVmfd/1+9W12pFIdDPzz+RL3w6c/rlLHjIzYofZDTnqCvzDlar3z2Kl0waYpMSX9bvVKfePA+bW0I3+zPoex2m378kwuUm5emioom/T2M+5ky8zJ02f99QpJ0zy8eli/CDvUFEJvWs39p0IIhcz37mDBEYjowOZ1OZWRkvO+G2FBXXq9n//GyJOnKX3wqbOGip8enm296Su3tHk2dWqyrv3hiWMb9oBaPR1977mn9ZOkr6vB6NW9kiZ67/HP60pyjlBjm86OGS2Famn5/xjn629nnKycpWVsb6/WJh+7To1s2Dcn1MjNT9P0fnCtJeuqpNVrx9s6wjX3BN85URm66Krfv19IH3grbuADQnw1VzZLokDcYpb0hc10FM0wYGjEdmBC7HrjlCXm7e1S2aLpmnzwzbOPed+9b2rypSqmpTv3oJxcoISH84WVXU6MufOhePb9rhxw2m368YJHuu/BSjcrMCvu1rHDG+Il6/jOf14mjxsjj69F3X35eNy1fKt8Q7AeaO3esPnnx0ZKk237zrNrausIybkp6si75znmSpPt++Sh7mQAMqbqWLtW2eGQzpGlFvLl7pEpdWZKkbbWt6vKyKgDhF1WBqa2tTWvXrtXatWslSXv27NHatWtVXl5ubWEYVg3VTXr+rsASrCt+eknYxt21s1b33B2YTbj2ujNUVJQVtrGDVlRV6MKH79fu5gMqSkvTQ5/8lK6ePXdIO8tZIT8lVXedf5G+fUygOcOda1fpmmefUleP9zD3PHJf/NIilbhy1NTUrn/+Y2nYxj3va2coJT1Z5Vuq9N4L68I2LgB8UHDvzYSCNKU6I6PBTzQpzkxSXlqifH5Tm/fT4AvhF1WB6b333tPs2bM1e/ZsSdL111+v2bNn66c//anFlWE4PfKbp+Tt7tH04yer9MRpYRmzp8enX936jHw+v044YbJOOjk84x7qmR3b9PknHlVrt0dzi4r11GVXaNaIorBfJ1LYDEPXzjtOfzrzXCXa7Xp5zy59/snH1NrtCet1EhMTdN31Z0qS/vf0Gm3eXBWWcVMzUnTWF0+RJD38myfDMiYAfBT2L4XGMIy+9uLrK5qtLQYxKaoC06JFi2Sa5odu//73v60uDcOk3d2uZ3r3Ln3mR58M296lxx9bpZ07a5WekaRvXXtG2BsuPLZ1s771wjPq9vt05viJuucTFysvZWjPdIoU506crP9ecLHSExP1bnWlvvDUY2rrDl9XO0maNWu0Tj9jpkxT+vOfXgrbobMXffts2ew2rX1tk3av3xeWMQHgg4IzTKUEpkE72PiBfUwIv6gKTMBL/12mrnaPRk0dqaPOmBWWMRsb2/Tf/yyXJH35yycrJyc1LOMGPb19q7738vPym6Y+NX2mbj/zXCUlxNcZG/NGlujeCy9VhtOpVfur9eVnnpCnJ7xtx7/05UVKSnJo69b9WvralrCMWTAqX8dfeIwk6em/vhCWMQHgUKZp9gWmmbQUH7QyV2/jBzrlYQgQmBA1TNPUU395XpJ0wdfPCtss0D//sVQdHd2aPKVIZ55VGpYxg17avVPXvfis/Kapy6eX6pcnnSa7bXj+2ZmmqfYet6o7d2hv2zptb31HW1ve1K7WVaro2KxGT5V8/vDvKerPzIJC3X3BxUpzJOrtygpd2/u4hEtOTpou+9SxkqQ7//m6vGHa+HvB1wLL/V6+Z5naWzrCMiYABNW2eFTfSsOHUM0cmSVJ2t3Qrtau4fvdhvjAzkJEjU1vblXFtmolpyXp1CsWhmXMXbvq9NKLGyRJ3/rW6bLZwrcUb11tjb71wjPymaYumjJNN5106pCerdTe06x97etV2bFFlZ1b1eipVLe/82PvY8imTEeBCpPGaVTqdI1KmaHCpLEyjKEJdaWFI/T3cy/QlU8+pud37dBtK97U9+YvCNv4l1x6jJ5+arX272/WC8+v17nnzQ55zNITp8k1ZaQqtlZp+aPv6MwvnBSGSgEgIHh20KTCdCUnRuexEpEgP92p4swkVbu7tLGqRfPH51pdEmIIgQlR49k7X5EknXjJfKWkJ4dlzDv/sVSmKS1aNFVTphaHZUxJqmlr1ZefeUJdPT1aNHqsbj3ljCHphNfe49Zm9+va2vKWyjs2SfrwjE1aQo6S7ely2JyyGwnq9nvU7e9QW88Bef1davbWqNlbo22tgQ6B6Qm5mpq5QNMyFqo4eVLYQ978klFacsrp+s5Lz+kv772jqXn5Onfi5LCMnZycqE9dPl9/+fPLuu/et3XGmaVyOEJ7AWIYhk674kTd9aP79Mq9ywhMAMKqbzke+5dCVlqSpWp3jdZXNhOYEFYEJkSF9pYOLXvobUnq61wWqg0bKvTOO7tkt9v0havDM2MlSd0+n6559inVtbdrcm6e/nTmuUoI8zK8Bk+F3ml4XBvcr8lnHlx6UJg0Tq6U6SpJmaLCpHHKchQqwZb4kWOYpqm2ngNq6q5UVcd2lXdsVEXHJrX2NOrdxif1buOTKk6erOPyLtGk9GPCOut00ZRp2t7YoDtWr9T3X3lBMwsKNTpM51Cde94sPXD/26qtdeulFzfq7HPKQh7z5E8v0F0/uk/rXtukhqpG5Y3kFzGA8Ohr+MCBtSErdWXq+U01Wl9F4weEF4EJUeHNx9+Vp7NbrsnFmnrspLCMef+9gQB2xpkzVVKSE5YxJelXby3XutoaZTqT9I9zPqG0xI8OLIPR4q3X0tr/aoP7tb7PjUiaoJlZJ2ly+nxlJhYMeCzDMJTuyFG6I0ejU0t1nC5Wj9+r3W2rtbllmba2vKXqzm16pOIm5TtH69QRX9S4tNCXuAV9d/4CranZr3erK3X9i8/qwU9+KizB0ul06JJL5+mOv72qxx5dqbPOLg15lqxwdL6mHz9Zm97cpmWPrNBF3z4n5DoBwDRNbaCleNiU9XXKa7a0DsQemj4gKrz2wBuSpJMuXxCWJWK7dtbqnXd2yWYz9KnLjw15vKDX9+3RnWtXSZJ+deoZcmWG5xdgj9+rpbV36687vtIXlianz9fnxv5KV437nY7JveCIwlJ/EmwOTcqYp0+UfE/fmHSXjsu7WE5biuo9+3T/vp/okfKb5e6uC/k6gWvZdNtpZynNkajVNft1x6qVYRlXks46u1RJSQ7t2VOvtWvDc7D1okuPlyQtffDNsIwHANXuLjW2dyvBZmgqDR9CFgydFU2damoP7/EViG8EJkS8lqZWrX450JjhpE8dH5YxH3zwHUnSwhOnaOTI8MwutXZ79INXXpQkfa50lk4fNyEs4zZ4KvTvPd/Rmw0Pqsfs1qiUGfrCuN/p4lE/kitl2pA1kkhLyNZJhVfq65Pu0tE558mQTdta39Y/dn1T21pWhOUaJRkZ+vmJJ0uS/vDuW9rTfCAs46anJ+v0M2ZKkp58YlVYxlx4ybEyDENbVuxQXUVDWMYEEN82HNLwISnE/ZaQMpMdGpsXOBqEWSaEE4EJEe+959fK7/NrzAyXSiaF3pihqaldry8NnNNzyaXHhDxe0G/efkM17W0ak5mlxceHZ0/U+uZXdNeua1XbtVsp9gx90rVYnx2zRMXJE8My/kAk29N0etFX9MXxf1Rx8mR5/O16pOImvVrzL/nN0Ft3XzRlmk4cNUZev1+/WPba4e8wQMEOeW+/tUPNzaG3A88Zka2p8wPLQd95ZnXI4wEA+5fCL/hYbuAAW4QRgQkRb8UzgRmCY889KizjPfO/Nerp8Wvq1GJNmRKeznhravbr7vVrJUk3nXRqyAfTmqapV2v+paerfiev6dHY1Fn64vjbNSXj+CFtTf5xCpLG6HNjbtHROedLkt5ufFQP7vu5vP6ukMY1DEM/XXiSHDabXtu3R6/s2RWOcjV+fIEmTRqhnh6/Xn5pY1jGPPacuZKkd54Jz6wVgPi2nv1LYRfsNriOwIQwIjAhovn9fq16cb0kad45c8IwnqnnnwuMd8GFc0MeTwqEm18sf02mpAsnT9PxrtEhjec3fXqm+k96u/FRSdIJ+Zfr8tE3Kt0RvsYUg2W3OXR60Zd1UckP5LAlaXf7Gj1UfmPIoWlcdo6umhX4fvz67TfCdqDtWWcHOuS9/NKmsIwX/Blc99omebs5GBHA4JmmyQzTEChzZUliSR7Ci8CEiLZr7V61NLYqOS1JU44JfU/Qxo2VqqlxKyUlUQsXhufsnxd379Samv1KTkjQD44/IaSxTNOv/1X9XuuaX5Qhm84tvlYLCz4zZAfJDtbUzAX69OhfKNGWrL3t6/Vw+U3y+j0hjfnVuccoPTFR2xob9PyuHWGpc+GJU2SzGdqxo0bVVaHvjxozw6XMvHR1dXi0/b3dYagQQLyqPNCp5g6vHHZDk0ekW11OzJhenCGbIdW1elTjDu3NPCAosl6FAR+w6sV1kqSyk6YrwRF6F/zg0qyFC6fI6Qxt2Zwk+fx+/ebtQAe/q2bNVUFqWkjjvVJ7lza4X5Mhmy4s+T+VZZ8aco1DpSRlqj416udy2JK0p32tnqr6rcwQZoYyk5L0hbLADM4f3307pLGCsrJSNGtWYMbv9de3hjyezWZT6aLpkqS1r4VnmR+A+BScXZoyIkPOBBo+hEtKYoImFQYCKLNMCBcCEyLautcDS6nmnFIa8lg+n19vLN8mSTr51GkhjydJL+/ZpZ0HmpThdOrLc44Oaax1B17WO41PSJLOH3mdpmYuCLk+01cv0/O6zM4nZLbfI7P9Tpmdj8n0vCGzZ2/IocSVOl2XjfqZbEaCtra8qfeang5pvKtmzVWKw6FtjQ1aUVUR0lhBJ/TOJK5YsTMs481cMFWStGXF9rCMByA+sX9p6AT3Ma1nHxPChINrEbF8Pp82vxV4UTpz4dSQx1u/vkJud6cyMpJVVjYq5PEk6R9r3pMkfXbmLGU4nYMep7pzu57bf7ukwJ6lGVknDWoc0+yRPMtkdv1P6n5P8td8/B1seTITj5HhPFFKOluGceT/DaNTZ+rUwqv1Ys0dern2LhUnT9bIlMEtd8xMStJFU6bpng3r9N/1azW/JPTv09HHjJMkbd5Upba2LqWlJYU03pR5gQ6FW9/ZIdM0LWvCASC6bahqlsT+paFQ6srSw6sqtY4ZJoQJM0yIWHvWl6ujtVMpGckaOzP0F87B2aXjF0xSQhiWP6yt2a9V+6uVaLPrytLZgx7H6/foicpfy2f2aFL6sToh//IjHsM0uwOzR/WLZDZfI3X9rzcs2aSECVLi8ZLzDCnpvMCfEyZLSpT8DVLXszLd35dZf5LMtr/L9Lcd8fWPyjlXUzKOl9/s0ROVvwqpCcQVM2dJkl7avVN17UdeywcVFWVpZEm2/H4zLIfYji8bLUdigtwNrdq/uzbk8QDEH9M0+9pez2SGKezKgq3Fq9xhWd4NEJgQsba/F2gvPeWYCbLbQw84K1cGNunPnx+eA2Uf3Bw4TPeciZOVn5o66HHerH9IB7r3Ky0hR+eNvPaIGzyYnmUyG86T2Xqr5K+TbDlSyhdk5Nwjo2CVbHnPypbzL9my/yRb1m2BP+c9LaNwlYyce6XUr0u2IsnfILPtNzIbzpbpef2IajAMQ+cUf0sZjnw1e2v1dsNjR3T/Q03KzdOcEUXymaae2RGeZW+zZ4+RJG3cEPoyv8SkRI0rC+yL2rGKxg8Ajtzexg61dPUoMcFGw4chMHlEuhLtNjV3eFXR1Gl1OYgBBCZErO29L0YnzhkX8lj79zerqvKAbDZDs2aH1vZbkjq8Xv1ve2DG6tJpMwY9Tn3Xvr724WcUXaMk+8CbRphml/zN35N54IuSb49ky5ORcbOM/GWyZSyWkXiMDFv/Qc4wnDISj5Yt/dsy8l+WkXmrZHdJ/hqZB74kf/P3j2i2KcmeqlMLr5Ykvd3wqNzddQO+7wedN2mKJOnpHaE3apCkGTNGSgp0SQyHCbMDP5M7VhOYABy5YDOCaUUZcth5KRZuzgS7phQFgijL8hAO/CtFxNq1bq8kacLssSGPtXbNPknStGkjlZo6+L1GQa/s2aU2b7dGZWRq3siSwY9Te5f8Zo8mps/T5PT5A76f6W+V2XS11PWkJHtgRinvBRkpl8gwEo+4DsNwyEi+UEbu01LKlZIMqetxmQe+JNPfPuBxpmQcr1EpM9RjevRG/QNHXEfQORMmy1DgQOCattZBjxM0Y6ZLkrR9W426u3tCHi/4Mxn8GQWAI7GuIrAcr4z9S0MmuDeMTnkIBwITIpJpmirfHJgNGDMj9P1LmzZVSZJmlrpCHksKnL0kBZbjDXbTf3Xndu1qWyVDNp1aePWAxzH9TTKbrpC8KyUjTUb2vwIzSrbQl3UYthTZMn4oI+ceyUiXvKtkNl8j0xzYkgbDMLSo8HOSpA3uV9XqbRpUHfmpqSotHCFJWl6+b1BjHGrEiExlZCTL5/Nrz576kMcbMz0Qkiu2Voc8FoD4E3wRX1qSZWkdsSz42NIpD+FAYEJEaqxuUkdrp2x2m0ZOHBHyeJt7A9O0aSNDHsvj69HSvXskSaeNG/x+qDfrH5IkzchcpBxn8YDuY5rdMg98VerZLNlyA/uUnMcOuob+GIlHy8i+SzJSpe53ZB74WqAD3wC4UqapJHmqfGaPVjY9NegaFo4aI0laVr530GMEGYahiZMKJUk7th+mc+AAuKYEfo7qyhvU1RHagb0A4kuPz6+N1b0zTC5mmIZKcIZpY5VbPj+NHxAaAhMiUtWOwIvaEWML5EgM7YDZzs5ulZc3SJKmTB1YMPk4a2r2q83brbyUFJUVDi7MtXgbtKP1XUnScfmXDPh+ZtsfJe8ayciQkXO3DEd4zpP6KEZimYzsOyUjRep+U+r4z4Dve2zeRZKk9Qdelt/0Der6x7sCe83eqaoMS5ej8eMDgSkcM0yZeRlKz06VaZp0ygNwRHbUtanL61dqol3j8kI77Bz9m5CfpmSHXe3dPu2uD73jKuIbgQkRqWZvoGHAiLEFIY+1b1+DTFPKzk5VTs7gu9kFvVsVWCp47EiXbINcjrfJvVSm/HKlTFOec2DLBM3u96T2f0qSjMybZSSEp9vfxzES58hI/3Hg+m1/lNkzsKYJE9KPVrI9Xe2+ZpW3bxzUtUsLCmU3DNV3tKsmDO3FXa5cSVJV5eCWCX5Qweh8SYFZJgAYqA2HHFhrs3GO21BJsNs0Y2SGJGkdy/IQIgITIlLt3sAswIjeF6Wh2LM7MNbYsaGPJUnvVgdCwzHFg2/2sKH5NUnSzKxTBvT1ptkt0/0DSX4p6UIZSWcM+tpHLPmTkuNoyeyU2XrzgO5iNxI0qbeJxZaWNwZ3WYdDk3PzJEnrakJfRlfiypEkVVSEKTCNCtRWty/0GSsA8SPYta3MlWVpHfEguI9pA40fEKIjDkxXXnmlli1bNhS1AH0aqwMvavNKckMeq6rqgCTJNSon5LFM09TGusDs15yiokGN4e6uU71nnwzZNDXj+IHdqesFyVfe2zr8x4O67mAZhiEj8wZJhuR5RWbPzgHdb1LGPEnS3vb1g772tPzADOP2ptBncYqKAuvZ6+tb5Q/Deva84sDPU+P+AyGPBSB+BJsQlNIhb8gFH2NmmBCqIw5Mra2tOv300zVx4kT98pe/VFVV1VDUhTjXVNssScotyg55rP3VgbGKwjBWTXub3J4u2Q1DE3IGF+b2tK+VJBUnTxrwuUtmx38lSUbKZ8LSDe9IGQkTJOfJgVra/zug+7hSpkuSmrqr1N7TPKjrjssKfM/2NIceSnJy0mQYks/nV3PzwFul9yczP7DUo7muJeSxAMQHT49PW2sCzxlldMgbcsEZps37W9Td47e2GES1Iw5Mjz76qKqqqvSNb3xDDz/8sMaMGaOzzjpLjzzyiLxe71DUiDjUXBt4NyirMPR34Pb3zgAUF2eFPNb2xsBMx7jsHDntCYMaY1/vjMvYtFkD+nrTu1XyrpPkkJIvG9Q1w8FIvSrwh84nZJpdh/36ZHua8p2Bxg2VHYM7gHZsVmAWJxyByW63KTs7sIetoSH0PVFZBYGfTXcDgQlHxuPxqKWl5X03xIct+1vl9ZnKTnGoJDvZ6nJi3pjcFKUnJai7x6/ttaGf6Yf4Nag9TLm5ufr2t7+tNWvW6N1339WECRN0xRVXqLi4WNddd5127NgR7joRZ1oPBGYA0rND7yDU0Bh4cZyfH/rMTEVLIMiNyhx8kKvtCrQkH5k8eWB36H4z8P/O42XY8wZ93ZA5jpJs+ZK6JO+GAd2lIGmMJKmpe2DNIj5oRFrg+1/fHvqMkCRlZAReoLS1Hj7wHU5aViB8tbs7Qh4L8WXJkiXKzMzsu7lc4TkfDpHv0POXBnuGHwbOMIxDDrBlWR4GL6SmD/v379eLL76oF198UXa7XWeffbY2bdqkadOm6Xe/+124anyfv/zlLxo7dqySkpI0d+5cLV++fEiuA2u19y6ZSs1MCWkcv9/UgabAWNk5oYev6tbAO1Qj0zMGV4/pU2N3YBlrnnNgB/KanrckSUbiAPc7DRHDMCTHnMAH3asGdJ/sxEAb9wPdg2vakJcS+P43dHaEpbV4WlqSJKmtLfTAlJweGKuzdWCH+gJBixcvltvt7rtVVFRYXRKGybqK3vOX2L80bA4eYNtsaR2IbkccmLxerx599FGde+65Gj16tB5++GFdd9112r9/v/7zn//oxRdf1N13360bb7wx7MU++OCDuvbaa/WjH/1Ia9as0QknnKCzzjpL5eXlYb8WrBV81z4tK7TA1Nra2bfBPyvEsSSppi0wW1WUNrjZqhZvg/xmj+yGQ5mOAXbt864J/H/iMYO6ZjgZibMkSaZ384C+PssROPvI3T24s4pykgPfs26fTx1hWPKbkpooSero6A55rOTe8NUZhvCF+OJ0OpWRkfG+G+LDoTNMGB5lNH5AGBzxJoyioiL5/X5dfvnlevfddzVr1qwPfc0ZZ5yhrKysMJT3fr/97W919dVX64tf/KIk6fe//71eeOEF/fWvf9WSJUvCfj1Yw+fzydvdI0lypjhDGquzM/DCODExQQ6HPeTa2ro9kqQMZ9Lg6vEFZqhS7BkyjMO/X2H62ySzd7+NfWAzUkPKFghA8g+sNXeSPbBszeMf3CxMUsLBpyiPr0epShzUOEEJCYGfgZ6ewR2meyhHYqC2Hm/oYwGIfW2eHu3sPUC11MUM03AJhtPtta3q8vqUFIbXAog/RxyYfve73+mSSy5RUlL/Lxizs7O1Z8+ekAr7oO7ubq1atUo/+MEP3vf5008/XW+99dZH3sfj8cjj8fR9zMba6OD19PT9OTHJEdJYnZ2BWYmUlNBeaAe1eQMBLD1xcON1+QK/LAfaHU/+3jN+jDQZttAP3Q2Zrbc1uzmwJgyJtsCeIa9/cLMwNsNQgs2mHr9f3b7Qg4ndHgipPWHolmR3BJ4+fd6ew3wlAEgbq9wyTakoM0kF6YN70w1HrigzSXlpiWpo69am6hbNHR16x1zEnyNeknfFFVd8bFgaKg0NDfL5fCosLHzf5wsLC1XTz6GWbKyNToe+AA2+KB2s7t6ZqsTE0MYJ8vT0znzZB/cOVY8ZCFwJtgEGLrO3oYAR+nLCsDB6Z/xMz8d/XS9b7yyazxx8qLApsDHaH4Y9TAc3WYc+ls3WW1cYznQCEPs2cP6SJQKNH7IksY8JgxdS0wcrfLCrjGma/XaaYWNt9Au1iVBfo4AwNSOyGcEX74O7v90IzJgNOEAYvXulzPB0iQuZv3cNuG1gv/C7/YFg5bAN7k0W0zTV7Q/MLCUOso37oYJL8YJL80Lh8wVmqWz2qHsaBWCBdexfsgyd8hCq8LztPgzy8vJkt9s/NJtUV1f3oVmnIKfTKacztD0wsFYYJhV6BwrPMMFw7jMHt6QroTcw9fgH2HTAdjAwmWa3DCM8SwsHzd+7FM/IGtCXe3v3LiUOMjAdugwvcZCzeocKZ2Dy945FYAIwEOuZYbJMGTNMCFHU/KZPTEzU3Llz9dJLL73v8y+99JKOO+44i6rCUDh0GV6o+0OCL4y9YdqYn5IQCDydPYPr2JZsD3TD6uhpHtgdjMyDs0w91p9vZvZsC/whYWDLW1u9jZKk1ITBrRl3ewJ7n2yGoVRHaPvZpIN72pKTQx/L09tQxJlscYgFEPEOtHervCmwxLp0ZJa1xcShmb0hdXdDu1q7Qu+4ivgTNYFJkq6//nr985//1F133aUtW7bouuuuU3l5ua655hqrS0MYHdrooSvE9s9JvWN1hekJMis50MTgQOfgmhhkJhYE6vG3q8t3+GV2hmGTHLMCH3SvHtQ1w8q7VpJkOGYP6MubuvdLkrITRwzqcg0dgRcYOcnJsttCf7oKHlibFoYN18F24sH24gDQn/VVgdmlMbkpykwJ/Q0bHJm8NKdGZiXLNKUNVSzLw5GLqsB02WWX6fe//71uvPFGzZo1S8uWLdOzzz6r0aNHW10awshms/WFJk/HwJoL9Ce5993/rq7usGzOz+5teNLU2TGo+yfakpTSO8t0oDdMHI6RGDgs1uz+6G6Qw8X0uyXvpsAHAw5MgUN6sxOLBnXN+o5AqMxLDk+HwJbeQ2bTwhBygoEpKZVlvwA+3vqKZknsX7JScCnkBvYxYRCiKjBJ0te+9jXt3btXHo9Hq1at0sKFC60uCUMgNTPQFS54gO1gZWQEZoRMM3CIbaiK0wJhp7J18C3qRySNlyRVdWwd2B2cpwf+3/O6TF/doK8bss5HJHmlhMmS/fBL8vymT9Wd2yVJRckTBnXJPc2BPVOjM0Nf8+/z+XWgKRDAcnIG2Nb9Y7Q2BlrEZ+QO7hBjAPFjHfuXLDeTxg8IQdQFJsSHtKzAjEJbc2jd4RwOu9IzArMJwRfLoQi+cC93Nw96jJKUaZKkys4tA/p6wzGxd0anR+p8dNDXDYVp+mR23BuoJ+WKfjtTHqqua5+6/Z1y2lKU7xzcLPDuA4HANDYr9HMzmps75PebstkM5eSEPmPlbgiEZgITgMMJNhsoc2VZWkc8CzZ+WEfjBwwCgQkRKb13BqCl9138UOT2jtXQ0BryWGN6X7jvPnBg0OcCuVKnS5L2tK2V3xxYMwoj5TJJktn+b5n+pkFdNyQd90m+ykB3vOTzB3SXPe1rJEkjU6bKZgyuK92OpkDTiHHZOYO6/6HqagPvKubkpPUdYBuK5rrAeFn5vGMMoH817i7VtXpkM6TpxRlWlxO3ZowMPFdXHuhUY1toy/0RfwhMiEjZI7IkSQdqmkMea0RRYKz9+0Mfa1x2jpz2BLV5u7W3d7nYkXKlTFOyPUMdPrf2tW8Y2J2SzgsshTMPyGy5cVDXHSzTVyez7XeSJCP92zKMge3/2dLyhiRpUvq8QV3X5/drQ13gGIGZBR99dMCRqKgIBM0SV+jhS5LqKwNhLq8kPOMBiE3BGY1JhelKCdMh6jhymckOjcsLrC6g8QOOFIEJESmnMEuS1LR/cKHkUEUjAu8qVVc3hzxWgs2m6fn5kqT1dbWDGsNuJGhyxnxJ0mb3sgHdxzAcMjKXSLJLXc/K7Hx6UNc+Uqbpk9nyM8lskxwzpeRPDeh+zd012t+5Q5LR9996pHYdaFK716sUh0MTc3IHNcahKisDgckVrsBUEQhMBaPywjIegNi0rq/hA7PRVmMfEwaLwISIlFcSeIFcV9EQ8lgje2cAKivCs5Rt9ohiSdI7VRWDHmNG5iJJ0ib36+rsGdhSQcMxQ0r9iiTJdC+W2f3eoK8/EKbpl9nyE8nziqQEGRk3yhjg0rqVTYFANzZ1ltIGeQbTit7Hd1ZhUVhaiu/eHWiYMWpU6OHL7/erZk9gvMLR+SGPByB2rSlvliTNHhX6XkyEJtilMBhigYEiMCEiFY0LLMEKvigNxdhxgRe0e/bUhzyWJB3vGiVJWl6+T+Yg9zGNSpmhgqSx8poerT7w3P+3d9/xUVXpH8c/dya9ExIIIYHQe+9IFQEVC4oFu2t37b39VnBXRdcu9o5YYO2uotKbFCmh95JCQktCejJJZu7vjyFZUIIxmXCTzPf9es0LMrlz7pNDuHeeOec8p8qvM0LuAP9RQAnmkRswHbVTatw0Tcy8p45WxrNhRLyA4dulSq8tduaz7shsAAY0Hl/tGJakJAMw5Gh/19TOHe4RwXbtq7cn1LEy0rIoLnRg97ET06pJjdsTkYbJ6TIrpuT1VsJkuV4tIgBITM2u9v1bvJMSJqmTmrV2vwlN332gxm21auVOmPbvz6agoOYLPQc0j8fXZiMtL5c9R6o3amUYBgMbXwDAqqzvcTirVj7dMOwY4S+A32AwCzGP3IhZ+KlHL/ym6whmzr1QON19zvApGAFnVfn1q7N+oMRVRLR/S1qH9K5WDA5nGcv3pQAwrGVCtdo4VlZWARkZeRgGtG1b8/VQ+7anAxDbpik+vlqTICIntv1AHoUlTkL8fWjbpObbGUjNdIkNw89uI6ughKTMmm1bIt5FCZPUSXHt3dPeMtOPUJBbs4taeHgQTZu65y1v25Ze49iCfH0ZHOce9fhx145qt9M5bCiN/JpRUJbNksOfVfl1hi0Io9E7EHAWUIqZ+wTmkWswS7dXO5ZyZvFczIxxUPwjYHdPwwu8oMqvzyvNYlnGlwCcFn1JlcqPn8ji5CQKSkuJCQ6hU1TNR3A2bXRP70tIiK7YzLgm9mxwj3616BxX47ZEpOFKTHWvw+0RH47dVr3roXiOv4+drs3dlQrXJtd8jbR4DyVMUieFRATTONY9fSF5c/XXCpXr2rU5AJs3pdW4LYBz23cE4LvtW6s9umO3+TI25hYAfsv8nkPFSVV+rWH4YYS/jBH6MOAHJSswM8fjypmMWbrtL8Vkmi5Mx0JcmZdjZv8dXBng0xaj8UyMoKoVeSi38NDHlLqKaR7Ygc5h1d9U+oed7uRvXLsO2KqZdB1r06Z9AHTr5pkEZ/f6JADa9mzlkfZEpGEqX7+k6Xh1R5+W7n+LNSlKmKTqlDBJnZXQ1T2Ks3djSo3b6tzF/UZ544aaJ18AY9q0xd/uw57sI6w7uL/a7bQJ7UOH0MGYuPhv2ss4XaVVfq1hGBjB12FE/Qz+YwEnFH2GmXkeZuY4XHnPYRb/hFmWjOkqcCdGponpysIs3YpZ9A2u7AcxDw/DPHITlK4GfCH4RozG32D4dv9LP8vOvFVsyJ4LwOiYG6s9upTrcDBnzy7AnTB5QvkIU+eunkmYdq3dC0CbngkeaU9EGqa1R9+Ul6+dEeuVJ68aYZK/QgmT1Fnterk/vd++aneN2+rdJwGAjRtTKSoqqXF7oX7+jGvXHoCPN6yrUVtjmt1EoD2UA8W7mHfww7/8esMnDlujqRiNpoP/GYAvlO2Cgncxs+/CzBiNeagX5sGOmAe7YB4aiJl5PmbOQ1D8LbgOgREGQddhRM/HFvoAhuH/l2LILc3gv2nuvZr6RZ5H86COf/nnKPfNti0UlZXRLrIxPZvWvEBDTk4hO3a418L16tWyxu0V5BSQvMU9YtWxf9satyciDVN2YQl7DhcA0DNeI0x1Re+jI0w7DuaRV1z1DynFuylhkjqrw9E3o9tX76pxW/HxkcTEhFNa6mTduuQatwdwTfdeAPy4czuHCwqq3U6YbxTnNL8bcBeAWH9kbrXaMfwHYGv0BkaT5Rjhz0DgpeDTFfA95qgy9x+2xuDbC4Jvxmj0IUaTpdjCHsaw//WCCE6zjG/3PUeRM5eYgLac3vRv1Yof3NX5Ptm4DoAru/Wo9ijVsdas3otpuqslRkWF1ri9HWv2YJomMQnRNDq6X5iIyO+tO1q6ulVUMJHBNV87KZ7RNCyA5hGBuExYn6r9mKRqlDBJndVxQDsAkjamUJBT/YQE3NPX+vdvDcCvS3fWODaA7k1j6B3TjFKXi3cSV9WorfahAxgS7V4v9GP6q+zIXVnttgxbGEbghdjC/4Ut6muMppswmq7HaLICI3oxRtNN2Josx9Z4JrbQ+zD8T8MwAqp1Lpfp5L9pL5FauBk/WyAXxj+Ej833z19YiQVJe9l1JItgX18u6Ni52u0ca9ky9793v36tPdLeluXuQh/t+2l0SUQqt7Z8/6X4CEvjkD8qX8e0VuuYpIqUMEmdFRUbSWzbGFwuk41LttW4vWHD3dPEli7ZTmmps8btAdzZfxAA0zes52B+fo3aGhZ9Od3CT8fExdf7nmF33hpPhOhe62QEYtgiMewxGIZnPuk0TRc/pk9lc84ibNi5IO5BGvk1q0F7Jq+uWg7AFd16EOr316YFnojDUcryZe4RyqHDPLMeasPiLQB0G9rJI+2JSMOUqPVLdVbvo/8ma7SOSapICZPUaT1HuDdLXTd/Y43b6t6jBY0aBZOXV8zaNXtr3B7AsBYJ9GkWi8NZxmurV9SoLcOwcU7zu+gQOginWcp/Uv/Fhux5HonT05xmGT+mT2VD9lwMbIyPe4C2of1q1Oai5CTWHzxAgI8PN/aqWVvlVv22h+LiUpo0CaNTp9gat1dWWsaWZe4Kfj2Ge2YETEQaHpfLrJiS10sV8uqc8nVMiSlHcLm0ga38OSVMUqf1GtUNgNWz19e4LbvdxogR7lGm2bM31bg9cI/e3D9wCACfbdrAlsOHatSezXCP1HQOG4bLLOO/aS8x98D7OM0yT4TrEfmlR/gs6f9Ynz0HAxvnNb+XTuFDatRmqdPJ078uAuCqbj2JCgryRKgV/87DR3T0yHqozb9up7jAQXhUKC27xNe4PRFpmHYfzievuIwAXxsdY2q+dlI8q1OzMAJ8beQWl7H7cM1mh4h3UMIkdVqfMT2w2QySt+zjUGpGjdsbe5a7VPavS3eQm1tU4/YABsbFM65te1ymyWML5uKq5r5M5ew2X8bH3V+xpmll5jd8vPdBshw133S3plILt/D+nrtIKdyEny2Qi+Ifo2vEiBq3++mm9ezMyiQyIJDb+w2oeaDAkSMFrFjuno535pl/rUR6ZX6btRaAfmf1wmbT5VNETqx8/6XucRH42HWtqGt87Ta6x0UAWsckVaP/xVKnhTYKqaiWt/qXmo8ytWsXQ9t2TSktdTL7l5pP8yv3j6EjCfH1Y93B/Uxbn1jj9gzDxvAmV3Jh3MP424JJL9rBe7vvYHnGl5S5al4W/a8qcubzc/qbTN/7MPllWUT5t+C61i/RPqzmyc3B/HxeWrkMgPsGDSHMv3oFKH5vzpxNOJ0uOnRsRkKraI+0ueJH97qyAWf39kh7ItIwJaa634Rrw9q6q6LwQ3K2tYFIvaCESeq8AeP6APDrt9WvHHesc891lwP/+qvVOJ0uj7TZNCSEh08bBsAzyxazLeOwR9rtFD6EG9tMpWVwd0pNB/MPfsSbu25m/ZG5uEzPFK44mTJXCWuyZvHWzptYc+RHTFx0DR/J31q9QGP/mm8Ca5omj8yfTa7DQbcmTbm0c1cPRA1Op4vvv3OPBp19dg+PtLl3UwopW9Pw9fOh79ieHmlTRBqm8jfhKvhQd5Uns2s0wiRVoIRJ6rwhF7pHMRLnbqxxeXGA0WO6EhERxMGDOSxauLXG7ZW7vGt3Tk9oTYnTyV2//EhRqWc2xAv3a8IVLZ/i3Ob3EOoTRW7pYX5If5k3d97EyoxvKCrL88h5jlVYlsuKjK95fecN/Lz/DQqduUT5t+CKhKc5P+4+/OyBHjnPF1s3sSB5L342O8+fcSZ2D01z++233exPzyY0NIBRZ3TxSJuLZrpHwfqe2ZOQiGCPtCkiDU9ecSk7Drmvy0qY6q7ySnm7DuWTU6gNbOXklDBJndeyUxzxHZtTWlLGr9/WbL8jAH9/X8Zf4B61+uyz5R6rkGMYBs+OGktUUBA7sjK5f+7PNV7PdGzb3SNGcWu7txnV9DoC7aFklx5k7sH3eWXHVcxInszarJ/JK82s9jlySzPYkD2PGcmTeWX7Vcw7+AH5ZVmE+UYzJuZmbmjzKgnBnlkLBLArK5MnFi8A4J6Bg2nfOMpjbX8x8zcAzjq7B4GBNS+jbpomC2YsBWDEJYNr3J6INFwb9uVgmhDXKJAmoZ6ZYiye1zjEn4TG7gJDa1M1yiQn52N1ACJVMeryoXz0+AzmfLyQMdeMqHF74y/owxf/+Y29ew6zZPE2ho/wzJ46UUFBvHbmuVz17RfM2rWDNiuXce/A0zzSNoCvzZ+BURfSJ/JsNmUvZM2RnzhYvJvd+avZnb+an/ZDmG80zQM70CQggXDfpoT7RhNgD8HH8MVm2HG4iihxFpJfdoTMkjQyHftIK9rGkZL9x52raUAb+kaOo1v4SOw12Iz2RPJKHNw663sKS0sZHNeCG3v19VjbG9ansH59Cr6+di6c4Jl2t6/aRfrugwQE+TPoPM/FKiINz9rk8v2XtH6pruvdohFJmYUkJh9hZIcmVocjdZgSJqkXRl89jGmTZrJuwWb27z1Is1ZNa9ReaGggF13cj2kfLeWjj5YwZGgH7B6qZDSgeRxPjRzNg/N+YeqqFbQMj2BCJ89MCyvnawugV+SZ9Gw0lgxHCjvyVrI9bzn7i3aRW3qY3NLDbM1d+pfaNLDRNKA17UL70SV8uEfWKJ2I0+Xi7l9msetIFjHBIbw89myPTcUDmD79VwDGntmd6Ogwj7Q579MlAAwe34/AEM9MRxSRhinx6P5LvTUdr87r3bIRXyemaR2T/CklTFIvNGkRTa8zurF2zgZmvTuP65++vMZtXjihH19/tZqU5Ex+/GEd553vucpnF3fuyp4jWby1dhUPzvsFH5uN8zt4ZhTrWIZhEB3QkuiAlpwWfQkOZyH7i3aSXrSDzJI0ckoPkVt6mBJXEWWuEpymE39bIH72QILs4TT2b06kX3OaBLQiPqgzAfbaXZtjmib/WDiP+Ul78LPbeWvc+UQHee6ciYnJrF2ThN1u47LLB3qkzZLiEuZ/5k4+T798qEfaFJGGyTRNElM0wlRflBd+WJeSjdNlYrfVfL8+aZiUMEm9ce4tY1g7ZwM/fzCfqydfjK9fzaaJhYQEcO3fhjL11Tl88MEiho/oSHi4ZzZMBXhg8FCyHcXM2LyRe+f8BFArSdOx/O1BJIT0ICHEM5XhPO2FFb/y+eYN2AyDV8aMo0fTGI+1bZom777jXhN17nm9iImJ8Ei7i75YTm5mHk1aRNF3bN3sVxGpG5IyCzlSWIqfj43OzTwzwi21p0NMKMF+dgpKnOw4mEcn/ZtJJVT0QeqNgef0IbJZI7IP5fDrN795pM1zz+tNq9bR5OUW8/57izzSZjmbYfDUyNFc2rkbLtPk3jk/8dmmDR49R31hmiYvrPiV11e7S8P/c/gozmzbzqPnWLRwG9u37ScgwJcrrvTMujHTNPn+jV8AOPvGM7Db7R5pV0QapvLRpW7Nw/Hz0Vusus5uM+h5dOrkmmRNy5PK6X+z1Bs+vj6Mu/EMAL544b+YHqhAZ7fbuPPOMQD8+MM61q1LrnGbx7IZBk+f/r+k6bEFc3hq6UKcLs/s/1QfuEyTJxYv4LVVKwB49LThXNHNsyM1hYUO3nxjHgCXThxAZKRnpvlt/nUb21buxNfPh7OuP90jbYo4HA5yc3OPe0jDsLZ8Ol58hLWBSJX1OTotb63WMclJKGGSeuW828biF+DLjtW7Wb9ws0fa7N6jBePO6QnAC8/NorjYs/sx2AyDKaeP5p4B7nLU7yWu4dZZ35NX4vDoeeqiotJSbv/5B6ZtSATcI0s39vZ8lbnpH/9KRkYezZpFcOlEz6xdAndiDnDGVcOJjNF6BPGMKVOmEB4eXvGIj4+3OiTxkMSUbEDrl+qTXi2PJkwaYZKTqDcJ01NPPcXgwYMJCgoiIiLC6nDEIhHR4Yz9m/uT/s+e/tpj7d5080iio0NJT8/mnbfne6zdcoZhcGf/Qbw85mz8bHbm7N3NOZ9PZ92B/X/+4npqX24OF381g5927cDXZuOlMWdzVfeeHj/Pju37+fIL9xTNO+4cjb+/Z0qg79uRzvLvVwMw4d5zPNKmCMAjjzxCTk5OxSM1NdXqkMQDChxlbDvg3rC2d8sIa4ORKusd706YkjILycxv+B9kSvXUm4SppKSEiy++mFtvvdXqUMRilzxwHj6+dhLnbfTYKFNISAD33X82AN99u5alS3d4pN3fO79DJ2ZMuITY0FBSjiYUr69aSanTWSvns8rPu3Zy7sxP2Hz4EJEBgUwffzHja6HgRUlJGc8+8wMul8mIEZ0YMLCtx9r+9KmvME2Tgef0oWWn2imxLt7J39+fsLCw4x5S/yUerbTWPCKQZuHafqC+CA/ypW2TEABWa5RJKlFvEqYnnniCe+65h27dulkdilgsJqEJZ93gXss0bfJMj6xlAujXvzUXX9IfgOee/ZEDB7I90u7v9YqJZdbEqzm7bXvKXC6eX7GU8f/5lA0HD9TK+U6lvBIHD879mVt/+p7s4mK6N2nK9xOvZEDz2kk4pn20hKSkDCIaBXHn3WM81m7arv3MP7r30pWPX+yxdkWk4fotKQuAfgmajlff9G8VCcCqvVkWRyJ1Vb1JmKpDC2sbrsseuQBff182Lt7Kbz8leqzd628YQadOseTnF/P4/31FUVGJx9o+VnhAAK+deQ7Pn3EmEQEBbMk4zPj/fMrD82ZzMD+/Vs5Zm0zT5NvtWznjkw/5YutmDODvffrzxUWX0Ty0dj49T1ybxMwZ7kIS9957lkdLwk+bNBOXy6TfWb3o0LeNx9oVkYZrdXnCdPTNt9Qf/RPc/2blSa/I7zXohEkLaxuu6LjGXHDHWQC8ff/HlJWWeaRdX187j0++gIhGQezefYhnp7ine9UGwzCY0KkLs6+4lvPbd8QEZm7ZyIjp7/Pc8qVkFxfVynk9bd2B/Vzy1UzumT2LQwUFJIRH8PmFl/LA4KH41VIZ7szMfJ588jtME846uwenDWnvsba3r97Ngs9/xTAMrnvyMo+1KyINV6nTVVHwoV+CEqb6pnyEaXN6LvkOz7yfkIbF0oRp8uTJGIZx0sfq1aur3b4W1jZslz92IeFRoaRuS+OHt+Z4rN0mTcL45z8n4OtrZ8mS7RWbodaW6KBgXh47ji8mTKRPs1iKy8p4Y/VKhnz0Lk8uWUhaXt0cGV13YD/X//cbLvjiM1bvTyPQx4f7Bw7h58uvqbUpeABlZU6eevI7so8U0qp1NHfcOdpjbZumyfuPfArA6VcMoW2vVh5rW0Qars3puRSVOgkP9KVtdIjV4chfFBsRSFyjQJwuU9Xy5IR8rDz57bffzsSJE096TEJCQrXb9/f3x9/fv9qvl7otODyYa/45kVf//i4f/uNzhl40kMbNPDN3vEvXOO67/yyemfID/5m5kvDwICZe5rly1SfSN7Y5X0yYyJw9u3hp5XK2ZR7m/XVr+HD9WkYmtGJil+6MaNkKH5t1n3M4nGXM2rmD6RvXkXi0wp/NMLigQ2fuHTiY2FqafnesN16fy/p1KQQG+jFp0gUeq4oHsOy7VSTO24ivnw/X/vPk1yYRkXKrj1m/ZLMZFkcj1dE/IZJ9R9JYlZTFsPbRVocjdYylCVNUVBRRUVFWhiD13Nk3juKXD+ezfdVu3r5/Go9+erfH2h49phuZmQW8+84C3n1nAaGhARX7NdUWwzAY06Ydo1u3ZVFyEu8krmL5vlTm7d3DvL17aBwYxNg2bTmzTTsGNI+vtSlvxypzuVi+L4Ufdm7nl927yHEUA+Brs3F+h078ve8AWkWcmkXOX3+1iu++XYthwCOPnkt8i8Yea9tR5ODNez4C4OL7zyMmoYnH2haRhu23o8UC+mo6Xr3Vv1UkXyemsVKFH+QELE2Y/oqUlBSysrJISUnB6XSybt06ANq2bUtIiIa/vZXdbueuN2/i9v4Ps+DzXznjyuH0P6uXx9qfeNlA8vKKmPH5Cl568SdsNoOzzu7hsfYrYxgGIxJaMSKhFbuzMpmxZSNfb91CZlEhn23awGebNhDk68uA2DhOi29Jr5hmdI6OJsCn5qMtZS4XOzIzWHsgnaUpySzbl3rcJrvNQkK4rGsPJnbuRnRwcI3PV1VLl2znzTfmAXD9jSM8um4J4POnv+Fg8mGi4xsz8ZELPNq2iDRcpmlWlKNWhbz6q3wd07rUbBxlTvx9av8DSak/6k3C9PjjjzNt2rSKr3v1cr8pXrBgASNGjLAoKqkL2vVuzfg7zubrV37khRve5N2NLxAWGeqx9m+4cQRFRSV89+1ann9uFg5HKeMv6Oux9v9Mm8jGPDZkBA8OGsqKtFR+2rWT2Xt2kVlUyILkvSxI3guA3TBoG9mYVhGNaB3RiOZhYUQFBhEVFEywnx/+djt+djtlLhelTicFpaVkFRWRWVRIWl4uyTnZ7DlyhK0Zh3E4j1/0GhkQyNg27Ti3fQf6x8ZhP8XTAhPXJvHkv77D5TIZN64nEyd6dnrk3k0pzHj2WwBuffFaAoMDPNq+iDRcezIKyCoowd/HRtfm4VaHI9XUKiqYqBA/MvJL2LAvR8U75Dj1JmH66KOP+Oijj6wOQ+qovz11Gat+TiR1ezpTb3uPxz6/x2NtG4bBHXeOwdfXhy+/+I2pr86hoKCEy68YhGGcurnqvnY7Q1skMLRFAk+OPINtGYf5NTWFFWmpbDh0gIzCQrZnZrA9M6PG5wr186NbkxgGx7VgaIuWdIlucsqTpHKbNu7j/x77ktJSJ0OGtueue8Z6tN+dTicv3fQWzjIng8/vx5ALB3isbRFp+Mr37ukRH6FRiXrMMAz6t4pk1sYD/LY3SwmTHKfeJEwiJxMQ5M9DH9/BnYMfY+HMZfQd25Ox1470WPuGYXDLracTEODLJ9N/5YP3F3HwYA533jUGHwtukDbDoHN0EzpHN+HG3n0xTZP9+Xlsz8xgb/YR9mYf4UB+PhmFhWQUFVBUWoajrIwSlxMfmw1fm51AHx8iAwOJDAwiJiSEhPBGJERE0CkqmoSIRthOYTJYmfXrUnjs0S8oLi6lT98EHvu/87HbPZu4ffPKLLau2ElQaCC3T73+lCbBIlL/rUrSdLyGol/C/xKm2zz3FkIaACVM0mB06NeWqyddwkePz2Dqbe/RoV9bErp4bu8twzD423XDiIgI4o3X5/LjD+s4cCCbxyddQEiItVO4DMMgNjSM2NAwGso1/rffdjP58a9xOMro3TuBf/7rIvz8PHvJ2r0+iQ8e/QyAm567iug4zxWREBHvsHJvJqD9lxqC8nVMa5KPUOZ04ePhD+ik/tJvgjQoEx8ZT+/R3XEUlfDkpS9SVFDs8XNccGFfnvjXBAICfFmzOolbb/6QPXsOefw83mz2Lxv5v0e/xOEoY8CANjw15WICAjxXPhygpLiEZ656ldKSMgad15ezbzzDo+2LSMOXmlXIviNF2G2GEqYGoGNMGGEBPuQ7ytiUXjf3QBRrKGGSBsVut/Pw9DuJbNaI5C37eP66NzBN0+PnGTy4HS+/eiVNm4aTnp7N7X+fxs8/b6iVc3kT0zSZ9tESnn3mB5xOF6NGdeaJf03w+MgSwBt3fUjSplQimoRzzzu3aCqeiPxl5SWouzUPJ9hfk3bqO7vNYGBr90yD5bszLY5G6hIlTNLgNGoSzj9m3oOPr53FXyzn0ye/qpXztGsXw5tvX0u//q1xOMp47tkfefKf35GbW1Qr52voCgocTJ70NR9PWwq4S7o//Oh5+Pp6fo3Y3E8W8+O7czEMg4c+voNGTVTZSkT+uhV73G+qy99kS/03qI3733LZ7poXUJKGQwmTNEhdh3TijtdvBGDapJks/nJ5rZwnPDyIp6dcwnXXD8NmM1i4cCs3XP8eK1furpXzNVRJew9z260fsXTJDnx97dx3/9nceNNIbDbPj/rs3ZTCK7e8A8CV/7iIvmNqf18tEWmYytcvDWyt6XgNRXnCtDrpCCVlLoujkbpCCZM0WGffMIrxd5wFwDNXTWXjkq21ch6bzeCKK09j6utXEx8fSWZGPo8+/B+e+td3ZGUV1Mo5GwqXy+Sbr1dz6y0fkZqaRVRUKC+9fAVnj6udJCY3M49J4/9NcaGD3md044p/TKiV84hIw7fvSCGpWe71S321fqnBaN8klMhgP4pKnWzYl211OFJHKGGSBu2WF69h0Hl9KXWU8o/znmHPhuRaO1fHjrG89c51TLioHzabwfz5W7ju2nf4/ru1OJ36lOr3Dh3K5aEHZ/Da1DmUlJTRr18r3n73Ojp1bl4r5ysrLeNfl77I/j0HiWnVhEc/uxu7XXumiEj1rNzzv/VLIVq/1GDYbEbFiKHWMUk5JUzSoNntdh797G66nNaBgpxCHjnzSfbt3F9r5wsI8OXvt53B629cQ9t2TcnLK+aVl3/hphveZ/WqPbV23vrE6XTx1ZeruO7ad1m7Jgl/fx/uuHMMU569lIiIoFo5p2mavH7nB6ybv4mAYH/++e2DhEeF1cq5RMQ7aP1SwzWodfk6JiVM4qaESRq8gCB//vX9w7Tq1oKsA9k8OOoJ0ncfqNVztu/QjDfevJY77hxNaFgASUkZPPTgTO6/9zM2bdxXq+euyzZv2sdtt07jjdfnUlRUQucuzXn7nesYf0GfWq1SN+OZb/nh7TkYhsHD0++kVbeWtXYuEfEO5RXytH6p4RnUJgqANSlHKC51WhyN1AVKmMQrhDYK4dk5j9OiU3MO78vkvhGT2LcjvVbPabfbGH9BXz6efgsTLuqHj4+NxMRk7rpzOg8+8DmJa5O8pgx5Skomj//jK+68Yzo7dx4gJCSAu+85k1devYr4FrX76ewvHy3gg8fcm9Pe+tK1nDa+f62eT0QavrTsIlKyCrV+qYFqEx1MdKg/JWUuElOyrQ5H6gAlTOI1GjUJ57l5k2jZOY6MtCzuHf44ezfW3pqmcmFhgfz9tjP4+JNbGHdOT+x2G2tWJ3H/fZ9z260fMX/+Fkob6CdYSUkZPP3U91z/t3f5dekObDaDs8f14MNpN3Hueb1qpQresZZ8vZIXb3wLgIkPjeeCO8+u1fOJiHdYeXQ6ntYvNUyGYVRMy1u+R9PyRAmTeJnImEY8N38yrbu35MjBHO4dPqnWquf9XtOm4dx731lMm34z54/vjb+/D9u3H+Cpf33HZZe+zvvvLSI9/cgpiaU2maZJ4tokJj3+FTdc9y7z5m7G5TIZPLgd775/A/fdfzaRkcG1Hsfy/67m6ctewuV0MfbakVz39OW1fk4R8Q6/7tL6pYauYj+mXdqPScAwvWVOEJCbm0t4eDg5OTmEhWnBtzfLO5LP/537DFuWbcfX35eHp9/BsIsGndIYsrML+e7bNfz4wzoyM/Mrnu/cpTljxnRl6LCOtVYEoTZkZRUwb+5mfvwhkdTUrIrnhw7twOVXDqZ9+5hTFsvKH9fwxITnKS0pY8Slg3n4kztVEc9iuv5WTn1Tv5imyaAp8zmQW8ynNwzgtLZRVocktSA1q5Ch/16A3Waw7vHRhAb4Wh2S1IKqXn+VMInXchQ5ePryV1j23SoArn/6ci59aHytFh84kbIyJ8t+3cmPP6xj7dokXC73f0mbzaBHjxYMGdqB/v1bE9u80SmNqypycgpZsXwXixZtY9VveypiDwz0Y/SYrpw/vg8JCaf2zcTSb1by1MSXKCt1MuziQTz66V3YfZQsWU3X38qpb+qXXYfyOePFRfj72Fg/aQwBvrq+NFQjnltAUmYh71zVhzFdTt2HfnLqVPX6q4m34rX8A/15/Mv7eOueaXz72k+8/+hn7F6fxL3v3UpgcMApi8PHx86w4R0ZNrwjmZn5zJ+3hXlzN7Nz5wESE5NJTHSvs4qNjaB3n1Z07RZHt25xNG0afsqTu5KSMrZt28+6xGQS1yaxadO+iiQJoFOnWMae2Y1RZ3QhKMj/lMYG8PMH83npprdwuUxGXDqYhz6+Q8mSiHjUr0enaPVLiFSy1MANbRdNUmYyS3dlKGHyckqYxKvZ7XZue/U6WnaJ57U73mfhzGWkbEvj8S/uo3nbZqc8nsaNQ7j4kv5cfEl/9u/PZsni7axYvotNm/aRnp5NenoiP/w3EYCIiCDad4ihQ4dmtGoVTcuWUTSPi8TXQzfwoqISUlIySdp7mF27DrJ1azq7dh78Q4GKNm2aMPi0dowa1aXWK95VxjRNZj77Le8/6q6Gd+bfRnL32zcrWRIRj1uy050waSpewzekXRTTVyRX/JuL91LCJAKcc/NoErrE8cRFL7BnfTJ/7/MQ97xzMyMuPc2ymJo1i+CSSwdwyaUDKChwsC4xmY0bU9m0cR87dhwgO7uQ31bu4beV/9sQ1zCgceNQYmLCadw4hPCIICIigggM8iMwwBd/f18Mm4GBO8koLi6jpKSU/HwHOTmF5GQXcfBQDocO5h63rupYEY2C6NmjJT17taBf/9bExEScmg6pRFlpGa/d8QE/vjMHgEseOJ8bnrnilI++iUjDV+Z0VWxYO0QJU4M3qE1j7DaDvRkFpGYVEh9Zf9YVi2cpYRI5quuQTryx+lmevvxlNi3dxlOXvcy6+Zu4+cVrTukUvRMJDvbntCHtOW1IewAcjlL27D7E9u0H2LnzAMnJGSQnZVBYWEJGRh4ZGXkeOW9ERBAtE6Jo3Sqajp1i6dQ5ltjYRnUmGcnNzONfl7zAugWbMQyDW168hgvvGmd1WCLSQK3fl0O+o4yIIF86x2q9WUMXFuBLz/gI1iQfYemuDC7r38LqkMQiSphEjhEd15jn50/m48n/4fMp3/Dju3NZt3AzD318B50GtLM6vAr+/r506tycTp2bVzxnmiZHjhRy6GAOBw/mkJVVQHZ2AdnZRRQVlVBcXEqJoxSXaWKaYDMM/Px98Pf3ISQkgPDwQMLCgoiODqVpTDgxMeGEh9fdT9N2r0/inxc9T/rugwSGBPDoZ3cz8Jw+VoclIg1Y+fqlwUdHHqThG9ouyp0w7VTC5M2UMIn8jt3Hzt+evIweI7vy3LWvkbZzP3ef9hiXPjSeK/5vAv6Bp76YQVUYhkFkZDCRkcF07BRrdTi1xjRNfv5gPq/d8T4lxaXEJETzz+8eolW3llaHJiIN3NJdWr/kbYa2i+bluTtZuisDp8tUouyltHGtSCV6j+rGOxteYNQVQ3G5TD6f8g03db+PtXM3WB2a1yrMK+K5617nxRvfoqS4lH5n9eL1Vc8qWRKRWlfgKCMxxb25uNYveY8eceGEBviQU1TKprQcq8MRiyhhEjmJ0EYhPDz9TiZ9dT+NYxuRvvsgD435F1OufIWMtEyrw/MqW1bs4NbeDzBn2iJsNoO/PXkZT/73YcIah1odmoh4gRV7Mil1msQ1CqSFFv97DR+7jcFt3BVgF+84bHE0YhUlTCJVMOSCAby/5WXOv+1MDMNg/mdL+VvHu/js6a9xFDmsDq9BKyku4aN/zOCeof8gffdBmrSI4t/zJnH5oxdis+kSJiKnxsLt7jfLw9tH15nCN3JqDG/fBIAF2w9ZHIlYRe82RKooOCyI26dez+urnqHz4A4UFzj48P8+59r2d/LT+/NwOp1/3oj8JRuXbOWWXg/w6VNf4XK6OP3yIby97nl6DO9idWgi4kVM02ThDveb5REdmlgcjZxqIztGA5CYmk1WQYnF0YgVlDCJ/EXterfm5SX/4pFP7qRJiygy0rJ48ca3uLnH/Syc+asSJw/IOnCE5697g3uHP07q9nQiYyL4x3/u5ZFP7iIkItjq8ETEy+zJKCA1qwi/Y6ZnifdoFh5Ip2ZhmCYs2qFRJm+khEmkGgzD4PTLh/Lhtle4+fmrCW0UTPKWfTx12cvc1P0+5kxfRGlJqdVh1juOIgcz//0d17a/k18+WgDAWdeP4r3NLzHsokEWRyci3mrBNveb5H6tGhHsrwLD3mhkB/co04JtWsfkjZQwidSAX4AfF917Lh/vfp2rJ19CSEQwKVvT+Pc1r3F1m9v56qUfKMwrsjrMOs9Z5mTWe/O4tv2dvPfwJxTlF9Oxf1teWfYU9757C6GNQqwOUcRjHA4Hubm5xz2kblt0dLH/iPaajuetTu/o/rdftOMwZU6XxdHIqVYvEqakpCSuv/56WrVqRWBgIG3atGHSpEmUlGgeqdQNIRHBXPX4xXyy93Wue+pyImMiyEjL4q37pnFZ3M28fucHpGxLszrMOqe0pJSfP5jPDV3v4aWb3iIjLYvo+MY8+NHtvLLsKToPbG91iCIeN2XKFMLDwyse8fHxVockJ1FYUsbKPVnA/9ayiPfp1aIREUG+5BSVkpiabXU4corVi3Hlbdu24XK5ePvtt2nbti2bNm3ixhtvpKCggOeff97q8EQqBIcHc9kjFzDh3nOYO30xXzz/Hft27Ofb137i29d+ouuQjoy+egQjLh1MUGig1eFaJjcrj5/fn883r84iI839RiQ0MoQrHpvAubeOwS/Az+IIRWrPI488wr333lvxdW5urpKmOmz57kxKnC6aRwTSJlqj3d7KbjMY1i6a79ens2DbIfolRFodkpxChmmaptVBVMdzzz3Hm2++yZ49e6r8mtzcXMLDw8nJySEsLKwWoxNxc7lcJM7byHev/8zKH9bgcrn/uwUE+XPaBf0ZdeUweo/qht3HbnGkp8audXv58e05zPl4EY4i9whxZLNGXHTPOZx90xkEh2lvk4ZK19/KqW/qtn98u4npK5K5YkALnrqgm9XhiIW+TUzj7pnr6BgTys93D7M6HPGAql5/68UI04nk5OQQGXny7N7hcOBw/G+PHM0Tl1PNZrPRZ3QP+ozuQUZaJnM/WcLsjxaQuj2deZ8uYd6nSwiPCmXQuX057YIB9BrVFf9Af6vD9qiM9CyWfLmC2dMWsitxb8XzrXu0ZPztZzHqymH4+ftaGKGIyImpnLgcy70HF2w7kEd6dhGxEd47U8Tb1MuEaffu3UydOpUXXnjhpMdNmTKFJ5544hRFJXJyUc0bM/Gh8Vz64PlsXbmTeZ8sZuHMZeRk5PHzhwv4+cMF+AX40m1YZ/qN7UmfMT1o2TmuXm6QmLZrP8u/X82Sr1eydfkOygeyfXztDDq/H+ffdibdh3Wulz+biHiPHQfz3eXEfVROXKBRsB99WjRidfIR5m49yNWDEqwOSU4RS6fkTZ48+U8TmlWrVtG3b9+Kr9PT0xk+fDjDhw/nvffeO+lrTzTCFB8fr2kPUmeUlZaxYfFWln37G8u+X8Xh1Mzjvh/ZrBG9Tu9K1yGd6HJaB1p2jsNmq3u1WgpyCtiweCvrF2xi1S/rSNl6fIGLTgPbMXLiEEZdMZSwxqEWRSlW0rSzyqlv6q6p83bywpwdnN6xCR9c28/qcKQOeGfxbp6etY3T2jbm0xsGWh2O1FBVr7+WJkwZGRlkZGSc9JiEhAQCAgIAd7I0cuRIBgwYwEcfffSX3zjqpiR1mWmapGzdx+pf1vPbz4lsWrKVkuLj93IKDAmgTc8E2vZqRatuLWnZOY4WnZqf0rLbeUfySd6cyt6NKexYvZttq3aRsmVfxfosALuPne7DOzP4vH6cdkF/ouP0yay30/W3cuqbuuu815ayYV8OUy7sxmX9W1gdjtQByZkFDH9uIXabwZr/O4OIIBUpqs/qxRqmqKgooqKiqnRsWloaI0eOpE+fPnz44Yd18lN2kZowDIOWneNp2TmeCfecQ0lxCZt+3c6GRZvZvGw721bupCi/mE1Lt7Fp6bbjXhvaKJiY1k1p3jaGJvFRNGkZTePYRkREhxHRJJzgiGCCQgPwC/CrdBqc0+nEUVhCXlY+uZl5ZB/OJWNfJhn7sjiQfIh9O/azf/cBjhzMOeHrm7drRs8RXeh5elf6ju1JSESwx/tIRORUOZBTzIZ9ORgGjOqk9Uvi1rJxMB1jQtl2II95Ww8xoU+c1SHJKVAv1jClp6czYsQIWrRowfPPP8/hw//bZTkmJsbCyERqj1+AH71HdaP3KHdVJmeZk9Tt6exK3MuutXtI3rqP5C37OJyaSd6RAvLW7GHnmpNXjbTZbfj5+2L3tWP3sWO6XDidLkodZZQ6Sk/62mM1aRFFy85xtO3Vio7929G+XxuiYlViVUQajjlbDwLQKz6CJqEBFkcjdcmYzk3ZdiCPXzYfUMLkJepFwjR79mx27drFrl27iIs7/heznlZFF/nL7D52ErrEk9AlnjOu/F8506KCYg7sPUT6rgPs33OQw6mZHEw5zJED2WQfziX7UA6FuUUAuJwuigsdlZ0CAF8/H0IbhxIeFUpUXGOim0fSpEU0zdvFENs2hubtmqn8t4g0eHO2uBOm0Z31wawcb0yXGF6dv4vFOw9TVOIk0M87tgbxZvUiYbr22mu59tprrQ5DpE4KDA6gVdcWtOpa+fx6l8tFUX4xRfnFlJWUUVZShrPMic1uw7DZ8PP3wT/In4Bg/5NO2xMR8QZ5xaUs3+1eYz26c1OLo5G6pktsGM0jAknLLmLxzsOM7aKkuqGrFwmTiNSMzWYjOCxII0MiIlWwaMdhSp0mraODadvk1BXVkfrBMAzGdonhg1/38svmA0qYvIAqJ4iIiIgcY/bm8ul4Gl2SExvbxf27MW/rIUrKXBZHI7VNCZOIiIjIUcWlTuYdLfigkQOpTN+ESKJC/MkpKuXXXSffIkfqPyVMIiIiIkct3H6IghInzSMC6RUfYXU4UkfZbQbndG8GwH/Xp1scjdQ2JUwiIiIiR/2wYT8A47o3UwEcOalze7gTptlbDlJc6rQ4GqlNSphEREREgKISJ/O2HgKoGD0QqUyv+EY0jwgk31HGwu2HrA5HapESJhERERFg/rZDFJU6aREZRLfm4VaHI3Wc7bhpefstjkZqkxImEREREeDHje61KJqOJ1V1bo9YAOZtO0i+o8ziaKS2KGESERERr1fgKGP+Nve0qnHdNB1PqqZLbBitooIpLnVVVFeUhkcJk4iIiHi9edsOUVzqIqFxEF1iw6wOR+oJwzA49+i0vO/WqVpeQ6WESURERLze12v3Ae4pVpqOJ3/F+b2aA7Box2EO5RVbHI3UBiVMIiIi4tUO5RazeMdhAC7sHWdxNFLftIkOoXeLCJwuk2/WplkdjtQCJUwiIiLi1b5dl4bLhN4tImgVFWx1OFIPXdQnHoAv1+zDNE2LoxFPU8IkIiIiXss0Tb5a4x4VmNBHo0tSPef0aEaAr42dh/JZvy/H6nDEw5QwiYiIiNfanJ7L9oN5+PnYOKd7rNXhSD0VFuDLmV1iAPhidarF0YinKWESERERr/XlGnexh9GdmxIe6GtxNFKflU/L+359OsWlToujEU9SwiQiIiJeqaTMxffr3aWgL1KxB6mhwW0a0zwikLziMn7ZfMDqcMSDlDCJiIiIV5q39SBZBSVEh/oztF2U1eFIPWezGRXr4D5dmWJxNOJJSphERETEK01fkQzAJX3j8LHrLZHU3GX947HbDH7bm8W2A7lWhyMeoquDiIiIeJ3dh/NZtjsTw4DL+rewOhxpIJqFBzK6U1MAPjmakEv9p4RJREREvM6nK9xTpk7v0IS4RkEWRyMNydWDWgLwzdo08opLLY5GPEEJk4iIiHiVohInX65xl36+cmBLi6ORhmZQm8a0iQ6moMTJ12vTrA5HPEAJk4iIiHiV/25IJ7e4jLhGgQxrH211ONLAGIbBVUcT8ekrkjFN0+KIpKaUMImIiIjXME2zYm3J5QNaYLcZFkckDdGFfeII8rOz61A+S3dlWB2O1JASJhEREfEaq5KOsGFfDn4+Ni7pG291ONJAhQX4Vvx+vbN4j8XRSE0pYRIRERGv8c7i3QBM6N2cqBB/i6ORhuz6Ia2w2wyW7MxgU1qO1eFIDShhEhEREa+w61Aec7cewjDghqGtrQ5HGrj4yCDO6d4MgLc1ylSvKWESERERr1A+NWp0p6a0iQ6xOBrxBjcNcyfmP25IJyWz0OJopLrqTcJ03nnn0aJFCwICAmjWrBlXXXUV6enpVoclIiLylzgcDnJzc497SO07lFvMt4nu9w03D9fokpwaXWLDGdY+GpcJ7y3VKFN9VW8SppEjR/Kf//yH7du389VXX7F7924uuugiq8MSERH5S6ZMmUJ4eHjFIz5ehQdOhQ9+TaLE6aJPy0b0aRlpdTjiRW45mqDPXJXKwdxii6OR6qg3CdM999zDwIEDadmyJYMHD+bhhx9mxYoVlJZqB2UREak/HnnkEXJycioeqampVofU4GXmO/h4eRIANw/T6JKcWoNaN6Zvy0Y4yly8vmCX1eFINdSbhOlYWVlZfPrppwwePBhfX99Kj9O0BxERqWv8/f0JCws77iG16+3FeygscdK1eRijOze1OhzxMoZhcN+YDgB8/lsKqVlay1Tf1KuE6aGHHiI4OJjGjRuTkpLCd999d9LjNe1BRETEux3KLWbasiQA7hvdAcPQRrVy6g1q05ghbaModZq8Om+n1eHIX2RpwjR58mQMwzjpY/Xq1RXHP/DAAyQmJjJ79mzsdjtXX301pmlW2r6mPYiIiHi3NxbuxlHmoneLCEZ0iLY6HPFi941pD8BXa/ex53C+xdHIX+Fj5clvv/12Jk6ceNJjEhISKv4eFRVFVFQU7du3p1OnTsTHx7NixQoGDRp0wtf6+/vj769N6URERLxRWnYRn61MAeC+MRpdEmv1atGIMzo1Ye7WQ7wwewevX9Hb6pCkiixNmMoToOooH1lyOByeDElEREQaiBd+2U6J08XA1pEMbtPY6nBEuH9sB+ZvO8SPG/dz1Z5MBrbW72V9UC/WMP3222+89tprrFu3juTkZBYsWMDll19OmzZtKh1dEhEREe+1NuUIXyemAfDIWZ00uiR1QseYMC7r3wKAyd9vpszpsjgiqYp6kTAFBgby9ddfM2rUKDp06MB1111H165dWbRokabciYiIyHFcLpMnvt8MwMV94ugRH2FtQCLHuG9MB8IDfdl2II/PV2l9fX1g6ZS8qurWrRvz58+3OgwRERGpB75au4/1+3II8ffhgTM7WB2OyHEig/24d3R7Jn2/mRdmb+fc7s2ICPKzOiw5iXoxwiQiIiJSFbnFpTz783YA7ji9LU1CAyyOSOSPrhjQgg5NQ8kuLGXKrG1WhyN/QgmTiIiINBhTZm0lI99Bq6hg/nZaK6vDETkhH7uNf43vCsDM1aks3nHY4ojkZJQwiYiISIOwZOdhPv/NvSbkmQu74eejtzlSd/VvFck1g1oC8MjXG8l3lFkckVRGVxIRERGp9/IdZTz81UYArhnUkgEq1yz1wINndiQ+MpC07CKmzNpqdThSCSVMIiIiUu9NmbWVtOwi4iMDefDMjlaHI1Ilwf4+PHthdwA+XZnCgu2HLI5ITkQJk4iIiNRrP2/az6crUwB49sLuBPvXiyLAIgAMbhvF1Uen5t33n/XszymyOCL5PSVMIiIiUm8lZxbwwBcbALhpWGsGt42yOCKRv+7RszvRJTaMrIIS7vw8URva1jFKmERERKReKi51cttna8lzlNG3ZSMeGKs9l6R+CvC18/rlvQnx92FV0hFemLPD6pDkGEqYREREpN4xTZNJ321mU1oukcF+TL28F752va2R+ishKphnJ7jXM725cDffJqZZHJGU05VFRERE6p03Fu5m5upUbAa8dGlPmoUHWh2SSI2N696Mm4e1BuDBLzfw294siyMSUMIkIiIi9cx369J47pftAEw6twvD20dbHJGI5zx0ZkfO6hpDidPFTdNXs+dwvtUheT0lTCIiIlJvLN2ZUVHk4YYhrbhmcIK1AYl4mM1m8OIlPekRH0F2YSlXvf8bqVmFVofl1ZQwiYiISL2wZOdhrp+2ihKni7O6xvDo2Z2sDkmkVgT62Xnv6r60igomLbuIy99bQVq2yo1bRQmTiIiI1HmLdhzm+mmrcZS5GNWxCS9P7InNZlgdlkitiQ715/MbB9KycRCpWUVc9o6SJqsoYRIREZE67fv16dw4bTUlZS7O6NSUN67sjb+P3eqwRGpdTHgAn984kBaRQaRkFXLhG7+yJT3X6rC8jhImERERqZNM0+TVeTu58/NESpwuzuwSwxtXKFkS7xIbEciMmwbSvmkIB3MdXPL2cpbsPGx1WF5FCZOIiIjUOQWOMu6euY4Xj27gecOQVrx+RW/8fPTWRbxPbEQgX9wymIGtI8l3lPG3D1fx3pI9mKZpdWheQVcdERERqVM2peVw7tSlfLcuHbvN4MnxXfm/czpj15ol8WLhgb5Mu64/F/ZqTpnL5Mkft3LT9DXkFJZaHVqDp4RJRERE6oRSp4u3Fu3mwjeWsSejgJiwAD69YQBXDmxpdWgidYK/j50XLunBk+O74me3MWfLQc56ZTGLdmiKXm3ysToAERERkTXJR3jsm41sO5AHwOjOTfn3hO40CvazODKRusUwDK4c2JKe8RHc9tlakjMLueaD35jQO45/nNOJiCD9n/E0JUwiIiJimZTMQl6cs53v1qdjmtAoyJdHz+7ERX3iMAxNwROpTNfm4fx011Ce+2U7Hy1L4qu1+5i79SB3jWrHlQNbar2fBylhEhERkVMuNauQtxfvZsZvqZS53AvXL+oTx6NndyJSo0oiVRLk58Okc7twTvdmPPr1JrYfzOOfP2xh+opk7hzVlnO7x+JjV+JUU4bpReU1cnNzCQ8PJycnh7CwMKvDERHxGrr+Vs6b+sY0TdYkH+GDX/fy86YDHM2TGNY+mgfHdqBr83BrAxSpx8qcLr5Ys48XZm8nI78EgPjIQG4e1oYLezcnyE/jJL9X1euvEiYREal1uv5Wzhv6Zn9OEd+tS+c/q1PZc7ig4vlh7aP5+4g2DGzd2MLoRBqWfEcZ05Yl8cHSvWQWuBOnUH8fLujdnIn9WtCpWaimux6lhOkEvOGmJCJSF+n6W7mG2Dcul8m2A3ks2XmYnzYdYF1qdsX3An3tnNujGdcPaU2HmFDrghRp4IpKnMxYlcK0ZUkkZRZWPN+uSQjn9YjlrG4xtIkO8erkSQnTCTTEm5KISH2g62/lGkLfmKbJ7sP5LNudyfLdmazYk8mRY/aGMQzo27IRF/WJY1z3WEL8NTVI5FRxuUyW7c7k05XJzNt6iBKnq+J7LSKDOL1jEwa0iqRPQiOahAZYGOmpV9Xrr65YIiIiUmUlZS52HspjS3ouW/fnsXV/Llv255JTdPzmmUF+dvolRHJGpyaM7RJDkzDveiMmUlfYbAZD2kUxpF0UOUWlzN58gB827Gf57kxSsgr5aFkSHy1LAtxrnvq2jKRPy0b0iIugTZNgrX1CCZOIiIgco7jUyeE8B4fzHezPLiYlq5CUrEJSj/6Zll2E0/XHySn+Pjb6tGzE4DaNGdSmMd3jIvBVdS6ROiU80JeL+8Zzcd94Chxl/Lorg8U7D7M66QjbD+aRmlVEalYa3ySmVbymeUQgbZuE0LZJCG2iQ4iNCCAmPIBmYYGEBfp4xZS+epcwORwOBgwYwPr160lMTKRnz55WhyQiIlJjS3YeJiTUgYF7CpuBcfRP4HdfG4b77y6XiQm4TBNMcJlgYrr/NE1M0/29UqdJgaOM/KOPvOIy8h2l5Be7v84tKiMj350k5RWX/WmsYQE+dGoWRqdmYXSODaNzszDaNQ3B38deu50kIh4T7O/DmC4xjOkSA0BucSnrUrJZnXyENclZbNufR2ZBCWnZRaRlF7Fox+E/tBHgayMmLICoEH/CA30JD/Ql7Jg/A33tBPjaCCj/08eO3eZOsMo/dilfHGRS8ZeTfr/8uuYyTVyuY/5ugtPl/rt5zN+P/Z5p/u/6aLMZFBfmV6mv6l3C9OCDDxIbG8v69eutDkVEROQvczgcOByOiq9zc3MBuPWTtdj8g6wK6zh+PjaiQ/yJCQ+gRWQQ8ZFBtDjm0TTM3ys+VRbxJmEBvgxrH82w9tEVz2UVlLDrUH7FY29GPvtzijmQW0x2YSnFpS6SMguPKypRn7gcVYu7XiVMP/30E7Nnz+arr77ip59+sjocERGRv2zKlCk88cQTf3i+Y7NQfPyDMXF/+gnuT1KPGzECcA8muT8hPTrSdOyf4P7TZnOPStkMsNsMQgJ8CfX3IcTfh5AA95+hAf/7OirEn+hQf6JC/AkL8I5pNiJycpHBfvRvFUn/VpF/+F5xqZODucXszykmq6CEnKJScotKyTn6yC0uo7jUSXGpE0epi+Iy99+PndJbfp059mpTfukxjj57okuR3WYcvc4dvcYZRsV1z2YY2G0GhmFgr7g+GthtVLwGABOKCvL4sAr9UG+q5B08eJA+ffrw7bffEhUVRatWrf50St6JPsWLj4+v15WIRETqo4ZQCc5TdG8SEakbqnpvqherMU3T5Nprr+WWW26hb9++VX7dlClTCA8Pr3jEx8fXYpQiIiJ/zt/fn7CwsOMeIiJSd1maME2ePPnowtXKH6tXr2bq1Knk5ubyyCOP/KX2H3nkEXJycioeqamptfSTiIiIiIhIQ2TplLyMjAwyMjJOekxCQgITJ07kv//973HzqZ1OJ3a7nSuuuIJp06ZV6XyaEiIiYg1dfyunvhERsUa92Lg2KiqKqKioPz3u1Vdf5cknn6z4Oj09nbFjxzJz5kwGDBhQmyGKiIiIiIgXqxdV8lq0aHHc1yEhIQC0adOGuLg4K0ISEREREREvUC+KPoiIiIiIiFihXoww/V5CQgL1pBq6iIiIiIjUYxphEhERERERqYQSJhERERERkUooYRIREREREamEEiYREREREZFKKGESERERERGphBImERERERGRStTLsuLVVV6KPDc31+JIRES8S/l1V1tC/JHuTSIi1qjqvcmrEqa8vDwA4uPjLY5ERMQ75eXlER4ebnUYdYruTSIi1vqze5NhetHHfS6Xi/T0dEJDQzEMw7I4cnNziY+PJzU1lbCwMMviqI/Ud9Wnvqs+9V31lfddSkoKhmEQGxuLzabZ4Meqzr1Jv5PVp76rHvVb9ajfqu9U9J1pmuTl5f3pvcmrRphsNhtxcXFWh1EhLCxM/3mqSX1Xfeq76lPfVV94eLj6rhI1uTfpd7L61HfVo36rHvVb9dV231Vl1oM+5hMREREREamEEiYREREREZFKKGGygL+/P5MmTcLf39/qUOod9V31qe+qT31Xfeq72qF+rT71XfWo36pH/VZ9danvvKrog4iIiIiIyF+hESYREREREZFKKGESERERERGphBImERERERGRSihhEhERERERqYQSplqUlJTE9ddfT6tWrQgMDKRNmzZMmjSJkpKS445LSUnh3HPPJTg4mKioKO68884/HLNx40aGDx9OYGAgzZs355///CcNvV7HU089xeDBgwkKCiIiIuKEx6jvquaNN96gVatWBAQE0KdPH5YsWWJ1SJZbvHgx5557LrGxsRiGwbfffnvc903TZPLkycTGxhIYGMiIESPYvHnzccc4HA7uuOMOoqKiCA4O5rzzzmPfvn2n8KewxpQpU+jXrx+hoaE0adKE8ePHs3379uOOUf9Zw+Fw0LNnTwzDYN26dVaHU6dV9R4tuodUR1Wuk/LnpkyZgmEY3H333ZbGoYSpFm3btg2Xy8Xbb7/N5s2beemll3jrrbd49NFHK45xOp2MGzeOgoICli5dyowZM/jqq6+47777Ko7Jzc1l9OjRxMbGsmrVKqZOncrzzz/Piy++aMWPdcqUlJRw8cUXc+utt57w++q7qpk5cyZ33303jz32GImJiQwdOpSzzjqLlJQUq0OzVEFBAT169OC111474ff//e9/8+KLL/Laa6+xatUqYmJiGD16NHl5eRXH3H333XzzzTfMmDGDpUuXkp+fzznnnIPT6TxVP4YlFi1axG233caKFSuYM2cOZWVljBkzhoKCgopj1H/WePDBB4mNjbU6jHqhKvdo0T2kuqpynZSTW7VqFe+88w7du3e3OhQw5ZT697//bbZq1ari61mzZpk2m81MS0ureO7zzz83/f39zZycHNM0TfONN94ww8PDzeLi4opjpkyZYsbGxpoul+vUBW+RDz/80AwPD//D8+q7qunfv795yy23HPdcx44dzYcfftiiiOoewPzmm28qvna5XGZMTIz5zDPPVDxXXFxshoeHm2+99ZZpmqaZnZ1t+vr6mjNmzKg4Ji0tzbTZbObPP/98ymKvCw4dOmQC5qJFi0zTVP9ZZdasWWbHjh3NzZs3m4CZmJhodUj1zu/v0aJ7iKf8/jopJ5eXl2e2a9fOnDNnjjl8+HDzrrvusjQejTCdYjk5OURGRlZ8vXz5crp27XrcJ4Jjx47F4XCwZs2aimOGDx9+3MZdY8eOJT09naSkpFMWe12jvvtzJSUlrFmzhjFjxhz3/JgxY1i2bJlFUdV9e/fu5cCBA8f1m7+/P8OHD6/otzVr1lBaWnrcMbGxsXTt2tXr+jYnJweg4tqm/jv1Dh48yI033sj06dMJCgqyOpx66/f3aG+ne4jn/P46KSd32223MW7cOM444wyrQwE0Je+U2r17N1OnTuWWW26peO7AgQM0bdr0uOMaNWqEn58fBw4cqPSY8q/Lj/FG6rs/l5GRgdPpPGEfeMPPX13lfXOyfjtw4AB+fn40atSo0mO8gWma3HvvvQwZMoSuXbsC6r9TzTRNrr32Wm655Rb69u1rdTj11onu0d5O9xDPONF1Uio3Y8YM1q5dy5QpU6wOpYISpmqYPHkyhmGc9LF69erjXpOens6ZZ57JxRdfzA033HDc9wzD+MM5TNM87vnfH2MeLVpwotfWZdXpu5Pxpr6riRP1gTf9/NVVnX7ztr69/fbb2bBhA59//vkfvqf+q5mqXi+nTp1Kbm4ujzzyiNUh1wmevkeL7iE1dbLrpBwvNTWVu+66i08++YSAgACrw6ngY3UA9dHtt9/OxIkTT3pMQkJCxd/T09MZOXIkgwYN4p133jnuuJiYGFauXHncc0eOHKG0tLTiE52YmJg/fJJz6NAh4I+f4NZ1f7XvTsbb+q46oqKisNvtJ+wDb/j5qysmJgZwj4I0a9as4vlj+y0mJoaSkhKOHDly3CjJoUOHGDx48KkN2CJ33HEH33//PYsXLyYuLq7iefWfZ1T1evnkk0+yYsWK46YeA/Tt25crrriCadOm1WaYdY4n79HeTveQmqvsOikntmbNGg4dOkSfPn0qnnM6nSxevJjXXnsNh8OB3W4/9YFZsnLKi+zbt89s166dOXHiRLOsrOwP3y8vXJCenl7x3IwZM/5QuCAiIsJ0OBwVxzzzzDNeU7jgz4o+qO9Orn///uatt9563HOdOnXSgt1jUEnRh2effbbiOYfDccKiBTNnzqw4Jj093SuKFrhcLvO2224zY2NjzR07dpzw++q/Uyc5OdncuHFjxeOXX34xAfPLL780U1NTrQ6vTvuze7ToHlJdf3adlBPLzc097nq2ceNGs2/fvuaVV15pbty40bK4lDDVorS0NLNt27bm6aefbu7bt8/cv39/xaNcWVmZ2bVrV3PUqFHm2rVrzblz55pxcXHm7bffXnFMdna22bRpU/Oyyy4zN27caH799ddmWFiY+fzzz1vxY50yycnJZmJiovnEE0+YISEhZmJiopmYmGjm5eWZpqm+q6oZM2aYvr6+5vvvv29u2bLFvPvuu83g4GAzKSnJ6tAslZeXV/E7BZgvvviimZiYaCYnJ5um6U6sw8PDza+//trcuHGjedlll5nNmjUzc3NzK9q45ZZbzLi4OHPu3Lnm2rVrzdNPP93s0aNHg3/jdeutt5rh4eHmwoULj7uuFRYWVhyj/rPO3r17VSWvCqpyjxbdQ6qrKtdJqZq6UCVPCVMt+vDDD03ghI9jJScnm+PGjTMDAwPNyMhI8/bbbz+uDLZpmuaGDRvMoUOHmv7+/mZMTIw5efLkBj9Ccs0115yw7xYsWFBxjPqual5//XWzZcuWpp+fn9m7d2+VNTVNc8GCBSf8/brmmmtM03R/Ojhp0iQzJibG9Pf3N4cNG/aHT7eKiorM22+/3YyMjDQDAwPNc845x0xJSbHgpzm1KruuffjhhxXHqP+so4Spaqp6jxbdQ6qjKtdJqZq6kDAZpnl0BbyIiIiIiIgcR1XyREREREREKqGESUREREREpBJKmERERERERCqhhElERERERKQSSphEREREREQqoYRJRERERESkEkqYREREREREKqGESUREREREpBJKmERERERERCqhhElERERERKQSSphE6rDDhw8TExPD008/XfHcypUr8fPzY/bs2RZGJiIi3urjjz+mcePGOByO456fMGECV199tUVRidQewzRN0+ogRKRys2bNYvz48SxbtoyOHTvSq1cvxo0bx8svv2x1aCIi4oWKiopo1qwZ7777LhdffDEAGRkZNG/enJ9//pmRI0daHKGIZylhEqkHbrvtNubOnUu/fv1Yv349q1atIiAgwOqwRETES/39738nKSmJWbNmAfDKK6/w6quvsmvXLgzDsDg6Ec9SwiRSDxQVFdG1a1dSU1NZvXo13bt3tzokERHxYomJifTr14/k5GSaN29Oz549mTBhAv/4xz+sDk3E47SGSaQe2LNnD+np6bhcLpKTk60OR0REvFyvXr3o0aMHH3/8MWvXrmXjxo1ce+21VoclUis0wiRSx5WUlNC/f3969uxJx44defHFF9m4cSNNmza1OjQREfFib775Ji+99BJjxoxh586d/PLLL1aHJFIrlDCJ1HEPPPAAX375JevXryckJISRI0cSGhrKDz/8YHVoIiLixXJzc2nWrBllZWV8/PHHXHrppVaHJFIrNCVPpA5buHAhL7/8MtOnTycsLAybzcb06dNZunQpb775ptXhiYiIFwsLC2PChAmEhIQwfvx4q8MRqTUaYRIRERGRahk9ejSdOnXi1VdftToUkVqjhElERERE/pKsrCxmz57NFVdcwZYtW+jQoYPVIYnUGh+rAxARERGR+qV3794cOXKEZ599VsmSNHgaYRIREREREamEij6IiIiIiIhUQgmTiIiIiIhIJZQwiYiIiIiIVEIJk4iIiIiISCWUMImIiIiIiFRCCZOIiIiIiEgllDCJiIiIiIhUQgmTiIiIiIhIJZQwiYiIiIiIVOL/AeSRIadmTEx/AAAAAElFTkSuQmCC",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\" Demonstrate the use of fastkde.plot() \"\"\"\n",
"\n",
"# plot the PDF using the fastkde.plot() method\n",
"fastkde.pair_plot([x, y], var_names=[\"x\", \"y\"])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Conditional example\n",
"\n",
"The following demonstrates samples drawn from a distribution with a non-trivial covariance structure. The random samples generated below are meant to mimic data with a step change in the relationship between the $x$ and $y$ variables that occurs around $x = 305$.\n"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"# ***************************\n",
"# Generate random samples\n",
"# ***************************\n",
"# Stochastically sample from the function underlyingFunction() (a sigmoid):\n",
"# sample the absicissa values from a gamma distribution\n",
"# relate the ordinate values to the sample absicissa values and add\n",
"# noise from a normal distribution\n",
"\n",
"# Set the number of samples\n",
"numSamples = int(1e6)\n",
"\n",
"\n",
"# Define a sigmoid function\n",
"def underlyingFunction(x, x0=305, y0=200, yrange=4):\n",
" return (yrange / 2) * np.tanh(x - x0) + y0\n",
"\n",
"\n",
"xp1, xp2, xmid = 5, 2, 305 # Set gamma distribution parameters\n",
"yp1, yp2 = 0, 12 # Set normal distribution parameters (mean and std)\n",
"\n",
"# Generate random samples of X from the gamma distribution\n",
"x = -(np.random.gamma(xp1, xp2, int(numSamples)) - xp1 * xp2) + xmid\n",
"# Generate random samples of y from x and add normally distributed noise\n",
"y = underlyingFunction(x) + np.random.normal(loc=yp1, scale=yp2, size=numSamples)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now that we have the x,y samples, the following code calculates the\n",
"conditional:"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"# ***************************\n",
"# Calculate the conditional\n",
"# ***************************\n",
"# note that conditiong variables ('x' in this case) are listed first\n",
"# in the var_names argument\n",
"cPDF = fastkde.conditional(y, x, var_names=[\"x\", \"y\"])"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\" Plot the conditional. \"\"\"\n",
"\n",
"# ***************************\n",
"# Plot the conditional\n",
"# ***************************\n",
"fig, axs = plt.subplots(1, 2, figsize=(10, 5), sharex=True, sharey=True)\n",
"\n",
"# Plot a scatter plot of the incoming data\n",
"axs[0].plot(x, y, \"k.\", alpha=0.1)\n",
"axs[0].set_title(\"Original (x,y) data\")\n",
"axs[0].set_xlabel(\"x\")\n",
"axs[0].set_ylabel(\"y\")\n",
"\n",
"# Draw a contour plot of the conditional\n",
"cPDF.plot(ax=axs[1], add_colorbar=False)\n",
"# Overplot the original underlying relationship\n",
"axs[1].plot(cPDF.x, underlyingFunction(cPDF.x), linewidth=3, linestyle=\"--\", alpha=0.5)\n",
"axs[1].set_title(\"P(y|x)\")\n",
"\n",
"plt.savefig(\"conditional_demo.png\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Caption:** (left) Samples from a synthetic, noisy dataset meant to emulate a step transition in the relationship between $x$ and $y$. (right) The conditional distribution of $y$ given $x$, showing that the conditional distribution (shading) follows the true relationship (dashed line) of the underlying data.\n",
"\n",
"Note that data from the conditional distribution are missing for the left half of the figure because data are sparse there. The `fastKDE.conditional()` function only returns values for regions where $\\int p(y~|~x)\\,dy \\approx 1$; the conditional PDF often fails to normalize properly in regions of sparse data. These sparse data regions are filled with `numpy.masked`."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## KDE at Specific Points"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"\"\"\" Demonstrate using the pdf_at_points function. \"\"\" \"\"\n",
"train_x = 50 * np.random.normal(size=100) + 0.1\n",
"train_y = 0.01 * np.random.normal(size=100) - 300\n",
"\n",
"test_x = 50 * np.random.normal(size=100) + 0.1\n",
"test_y = 0.01 * np.random.normal(size=100) - 300\n",
"\n",
"test_points = list(zip(test_x, test_y))\n",
"test_point_pdf_values = fastkde.pdf_at_points(\n",
" train_x, train_y, list_of_points=test_points\n",
")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Note that this method can be significantly slower than calls to `fastkde.pdf()` since it does not benefit from using a fast Fourier transform during the final stage in which the PDF estimate is transformed from spectral space into data space, whereas `fastkde.pdf()` does."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "fastkde_test",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}