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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Plotting with python\n",
"\n",
"The main plotting module in python is `matplotlib`. There is a lot\n",
"that can be done with it - see the [webpage](https://matplotlib.org/gallery/index.html)\n",
"\n",
"\n",
"## Contents\n",
"\n",
"* [Running inside a notebook](#inside-notebook)\n",
" * [2D plots](#2D-plots)\n",
" * [Histograms and Bar Plots](#histograms)\n",
" * [Scatter plots](#scatter-plots)\n",
" * [Subplots](#subplots)\n",
" * [Displaying Images](#displaying-images)\n",
" * [3D plots](#3D-plots)\n",
"* [Running in a standalone script](#plotting-in-scripts)\n",
"* [Exercise](#exercise)\n",
"\n",
"---\n",
"\n",
"\n",
"<a class=\"anchor\" id=\"inside-notebook\"></a>\n",
"## Inside a notebook\n",
"\n",
"Inside a jupyter notebook you get access to this in a slightly\n",
"different way, compared to other modules:"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This only needs to be done once in a notebook, like for standard imports.\n",
"\n",
"> There are also other alternatives, including interactive versions - see the practical on Jupyter notebooks for more information about this.\n",
"\n",
"\n",
"The library works very similarly to plotting in matlab. Let's start\n",
"with some simple examples.\n",
"\n",
"<a class=\"anchor\" id=\"2D-plots\"></a>\n",
"### 2D plots"
]
},
{
"cell_type": "code",
"execution_count": 38,
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x119885748>"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b4c7908>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"plt.style.use('bmh')\n",
"\n",
"x = np.linspace(-np.pi, np.pi, 256)\n",
"cosx, sinx = np.cos(x), np.sin(x)\n",
"\n",
"plt.plot(x, cosx)\n",
"plt.plot(x, sinx, color='red', linewidth=4, linestyle='-.')\n",
"plt.plot(x, sinx**2)\n",
"plt.xlim(-np.pi, np.pi)\n",
"plt.title('Our first plots')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Note that the `plt.style.use('bmh')` command is not necessary, but it\n",
"> does make nicer looking plots in general. You can use `ggplot`\n",
"> instead of `bmh` if you want something resembling plots made by R.\n",
"> For a list of options run: `print(plt.style.available)`\n",
"\n",
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"You can also save the objects and interrogate/set their properties, as\n",
"well as those for the general axes:"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"#348ABD\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1197cacf8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"hdl = plt.plot(x, cosx)\n",
"print(hdl[0].get_color())\n",
"hdl[0].set_color('#707010')\n",
"hdl[0].set_linewidth(0.5)\n",
"plt.grid('off')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Use `dir()` or `help()` or the online docs to get more info on what\n",
"you can do with these.\n",
"\n",
"<a class=\"anchor\" id=\"histograms\"></a>\n",
"### Histograms and bar charts\n",
"\n",
"For a simple histogram you can do this:"
]
},
{
"cell_type": "code",
"execution_count": 40,
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a23c128>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"r = np.random.rand(1000)\n",
"n,bins,_ = plt.hist((r-0.5)**2, bins=30)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"where it also returns the number of elements in each bin, as `n`, and\n",
"the bin centres, as `bins`.\n",
"\n",
"> The `_` in the third part on the left\n",
"> hand side is a shorthand for just throwing away the corresponding part\n",
"> of the return structure.\n",
"\n",
"\n",
"There is also a call for doing bar plots:"
]
},
{
"cell_type": "code",
"execution_count": 41,
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x11a50dfd0>"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119def588>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"samp1 = r[0:10]\n",
"samp2 = r[10:20]\n",
"bwidth = 0.3\n",
"xcoord = np.arange(10)\n",
"plt.bar(xcoord-bwidth, samp1, width=bwidth, color='red', label='Sample 1')\n",
"plt.bar(xcoord, samp2, width=bwidth, color='blue', label='Sample 2')\n",
"plt.legend(loc='upper left')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a class=\"anchor\" id=\"scatter-plots\"></a>\n",
"### Scatter plots\n",
"It would be possible to use `plot()` to create a scatter plot, but\n",
"there is also an alternative: `scatter()`"
"execution_count": 42,
"outputs": [
{
"data": {
"text/plain": [
"(0.1039996137295216, 0.96287533552434978)"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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8yqYOgEgI9uwxNm4cxcsvW4+txksvGZs2lVFZeYjXvjZ6d+dEEn//O5X19VrNLwY0BkAkBDt2JPqc/F9x8KCxfXtJkSsSGaK2Nkr++Mpd5ba6OvZt3qyTv4fUASiSvks/xoVy5efJJw//f72dOxMEMTxH7eWXKObqPOEE2hYtIl1dzf6NG2m96aacF/WJYq5C8SmbHgEUyZQpU8IuIRDKlZ+ysiP/3Qa+QTAsai+/RDVX27XX0vaRj+S9ml9UcxWCT9k0C0AkBA8/nODHPy4jM/ivv3nz2jn11HRxixKRWBjqLAA9AhAJwetf30lNzcAj/SdP7mTaNJ38JSTpNCUPPBB2FVIE6gCIhKCyEt7xjnbOOKODsWMdJSWOigrHaad1MH/+IV71qrArlJEosWMH4+bPZ9z8+ZRs2xZ2ORIwdQCKpO93QseFcuVvwgQ4++wOPvCBg1x22SEuu+wg557bwatfHdx7qr38UrRcXav5zZ5N6ZYtWEcHFddcA53BrEcR1/YCv7KpA1Aky5YtC7uEQCjX8E2YAJMnO44+Ovj3Unv5pRi5uq76KxYv7l7UJ11dnRndnwjmFBHX9gK/smkQYJG0tLR4NTp0qJTLL8rll0BzHWk1vzxH+A9FXNsLopFNSwFHTNgfiKAol1+Uyy9B5kps386YG27A0pkBp8VczS+u7QV+ZdMjABGREajz+ONpu+46QKv5jVS6AyAiMkK1feITtJ97LulZs8IuRUKgOwBFsmLFirBLCIRy+UW5/BJ4rvLyUE7+cW0v8CubOgBFkkqlwi4hEMrlF+Xyy7Bz7d9fmEIKbKBcBw/Ciy9C2vM1sHz6LGoWgIhI3GRH+I/+8pfZ/9Of0nn88WFXdFiPPZbg/vtLeeklY/LkTmbP7mDSpOidm3yhpYBFREagRHNz97z+xEsvUXnNNdDREXZZg9q929i0qYxduxKkUsaOHSXcfXcZPWYmSkDUARARiYOu1fzmzKF0y5buzR2nnx7pDsBzzxltbb2/FGvXLmPv3gC+DlN6UQegSPbu3Rt2CYFQLr8ol1+GmmvA1fxqati/cWNmRb/Ro4MsM2c9c5WXA/S+3T9qVObHRz59FtUBKJKFCxeGXUIglMsvyuWXoeSyPXsYf/bZva762+rq2HfffZGd198z12tf20l1dc/vHHCcckqaqio/xwD49FksieK6xTt37pwMXF1VVUVZWVnY5RTE9OnTmTRpUthlFJxy+UW5/DKkXBUV2AsvUPr735OuqeHA//wPh2prI30J3TPXqFHwutd1UlXlqKpynH56mre8JU2pp6vUROGz2N7ezp49ewDWTps2bddg+2kWgIiI71pbGb16NW0f/Wiga/iLHwKdBWBm9Wa208xazazJzE4/zL7fMLNOM0tn/7Pr58/5vLeIiPQxZgxtixbp5C85ybkDYGYXA18BbgBOAbYCd5lZ1SCHfAyYBEzO/ucU4B/AnfkULCIiIsOXzx2A64E1zrlvOuceAT4MpIAFA+3snNvvnHuu6weYBbwKWJdnzV7asGFD2CUEQrn8olx+2bBhA4nmZsZecAGJ5uawyymYuLYX+JUtpw6AmZUBpwH3dm1zmUEE9wBnDvFlFgD3OOeeyuW9fbdt27awSwiEcvlFuTySTvPXb3+b8XPmUPbrX1O5cKH/6+RmxbK9snzKltMgQDObDDwNnOmc29Jj+xeBOc65w3YCssc/CbzfOdcw2H4aBCgiI1miuZnKhQt7Te1L19Sw/0c/wnn0ffMSjqguBXwF8ALwoyPtuGrVKmbNmkUymez1M2/ePDZt2tRr38bGRpLJZL/XWLRoUb/bMVu3biWZTPZbrGH58uX9vsWppaWFZDLJ9u3be21fu3YtS5cu7bUtlUqRTCZpamrqtb2hoYH6+vp+tS1YsEA5lEM5lKN3jvXre63m90fgfKDl8svZd9993Sf/yOeIS3t4kKOhoaH73DhjxgySySS1tbU0Njb2O66vXO8AlJF53n+hc+7HPbavAyY45y44wvHbgR875z5xuP10B0BERpxDhxj73vdS1uMkkK6pIbVqVWQX9JFoCuQOgHOuHfgDMLdrm5lZ9vf7D3esmZ0NHAfcnst7ioiMCKNGkX7LW7p/jfpqfuK/fB4B3AxcZWaXm9lM4DagguyofjNbbmbrBzjuQ8AW59zf8i3WZwPdYooD5fKLckVb65IltJ99dvca/smrrgq7pEDEpb0G4lO2nBdbdM7dmZ3z/zlgIvAQcJ5z7vnsLpOAqT2PMbPxwAVk1gQYka688sqwSwiEcvlFuSJu7Fhe/sEPun+NTa4+4poL/MqmpYBFRERiJKqzAERERqZ0mvLbbiPxxBNhVyICqAMgIhK4xI4djJs/n4rPfIaKj30MOjuPfJBIwNQBKJK+c0/jQrn8olxFlk5n5vXPnt29qE/Z5s2UPPDAkA6PbK5himsu8CubOgBF0tAw6MKHXlMuvyhX8XRf9S9ejLW1AdnV/DZuJH3GGUN6jSjmKoS45gK/smkQoIhIITlH+W23Mebzn+8+8UNmXn/rkiX6yl4J3FAHAeY8DVBERA7DjJJHHul11a/V/CSK9AhARKTAUp//POkpU7San0Sa7gCIiBTa+PHs++1vYdy4sCspilQKRo2CUp1RvKI7AEUy0Dc6xYFy+UW5iqgAJ/9I5urhueeMn/60jPXrR/Gd74zi4YcTQ5rhGPVcw+FTNvXXiuScc84Ju4RAKJdflKswEs3NuIoK3LHHBvo+UW6vl1+GjRvLeO65zHXkSy/Bs8+WUVbWzhvecPheQJRzDZdP2TQLQERkqNJpytesYcyNN9Jx1lm8fOedYBZ2VaF49NEEP/xhGdA7/xvekObCC9vDKUoALQUsIlJQiebmXvP6y+69lzKP5nwX2qFD0PfkD5BKjcwOkY/UARAROZyu1fzmzOlezQ8y8/rb3/nOEAsL12te4ygv738HecaMdAjVSD7UASiSpqamsEsIhHL5Rblyc7jV/FpvuinwRX2i3F4TJzrmzu2goiLTCSgpcZxwQpoTTjhyByDKuYbLp2zqABTJypUrwy4hEMrlF+XKzeivfa3fVX8x5/VHvb1OPDHNZZcd5KKLDnLJJYd417vaGTv2yMdFPddw+JRNgwCLJJVKxSZLT8rlF+XKjb3wAuPf9jZcRUUoq/mpvfwThWxaCjhiwv5ABEW5/KJcuXFHHcXL3/se6ZqaUNbwV3v5x6ds6gCIiBxG+s1vDrsEkUBoDICIjFzpNOzbF3YVIqFQB6BIli5dGnYJgVAuvyjXK7pG+FfW10MEx0KB2stHPmVTB6BIpkyZEnYJgVAuvygXr8zrnz2b0i1bGLVpE2U/+EFwxQ2D2ss/PmXTLAARGTESO3ZQec01vab2pWtqOHDLLaTPOCPEykQKR0sBi4h06XPV36VrXr9O/jISaRaAiMTe6C99iTFf/nL37+mamlDm9YtEie4AFMn27dvDLiEQyuWXkZrr4JVX0vnqVwPFX81vOEZqe/nMp2x5dQDMrN7MdppZq5k1mdnpR9h/lJl9wcweN7M2M/u7mV2RV8WeWrZsWdglBEK5/DJSc7ljjuHALbcUbQ3/Qhmp7eUzn7LlPAjQzC4G1gN1wAPA9cC/AW90zu0Z5JgfAccAnwV2AJOBhHPudwPtH8dBgC0tLV6NDh0q5fKLcvlFufwThWxBLgV8PbDGOfdNADP7MPBuYAHwpb47m9k7gNnANOfci9nNT+bxvl4L+wMRFOXyi3L5Rbn841O2nB4BmFkZcBpwb9c2l7mFcA9w5iCHvQd4EPikmbWY2aNm9mUzG51nzSIir8iO8K+45pqwKxHxSq53AKqAEmB3n+27gRmDHDONzB2ANuC92df4L+Bo4EM5vr+ISLe+8/rbzzuP9ve8J+SqRPxQjFkACaATSDrnHnTO/Rz4P8AHzax8sINWrVrFrFmzSCaTvX7mzZvHpk2beu3b2NhIMpns9xqLFi1iw4YNvbZt3bqVZDLJ3r17e21fvnw5K1as6LWtpaWFZDLZb1Tn2rVr+y33mEqlSCaTNDU19dre0NBAfX19v9desGCBlzn6mj17dixy9G2PFStWxCIH9G6PnrX4nKPnvP5rt2zhouw+JQ8/7FeOHgZqj0996lOxyNG3Pbpq9z1Hl545uv6zWDkaGhq6z40zZswgmUxSW1tLY2Njv+P6ymkQYPYRQAq40Dn34x7b1wETnHMXDHDMOuBtzrk39tg2E/grmYGDO/oeE8dBgMuXL+fTn/502GUUnHL5JQ65BlrNb8mECfz7t77lxdS+XMShvQYS11wQjWxDHQSYzyyAJmCLc+7a7O9GZlDfSufclwfY/yrgq8BrnHOp7LZ/Bb4PjHXOHex7TBw7ACIyfGU/+xmVH/oQ1tbWva2tro7WJUu8mdonErQglwK+GbjKzC7PXsnfBlQA6wDMbLmZre+x/7eBvcA3zOx4M5tDZrbA7QOd/EVEBtNx8sm48syTw3R1tXfz+kWiJOdpgM65O82sCvgcMBF4CDjPOfd8dpdJwNQe+x8ws3OBVcDvyXQG7gCWDLN2iYiODmhpMR5/vIRDh2Dy5E5e97pOJkwIuzKJGzd5Mq033UTJn/6kq36RYcrruwCcc7cCtw7yt9oBtm0HzsvnveJi7969vDq7FGmc7Nq1l0cfncgDD5TQ2Wnd2485ppP589uZODF63zY5FHFtrzjkOnTxxXDxxb22xSHXQJTLPz5l03cBFMnChQvDLiEQV1+9kC1bep/8AZ5/PsGvf11KR0dIhQ1TXNtLufyiXP4JK5tz8Mwzxv33l/LrXw/t2r4kiusW79y5czJwdVVVFWVlZWGXUxDTp09n0qRJYZdRcM8+O5OOjmMH/Nu+fca0aZ2MH1/kogogru0V9VyJ5mZGfetbpP/pn3I6Luq58qVc/gkjW2cn/OEPJfz0p2X8/e8lpFLtTJ26G2DttGnTdg12nO4AFMlJJ50UdgmBeNWrThn0b+m0cdDTYZ5xba/I5uqa1z9nDhU33EDpL36R0+GRzTVMyuWfMLI9+miCRx5JcNRRnZSXD/2xa15jAES6TJ7s2N13Xcis8nLH2LHFrUf8k2hupnLhwl7z+kevWMHL554bYlUi0ff008ZDD5Xys5+VsWuXMW6c48QT0xxzTOeQjtcdABmWmTM7KC0duMd5/PGdHHOMn4MApQh6XPX3PPm31dXx8h13hFiYSPQ99ZTR0DCKBx8s4ZlnEhw8aOzZk6CxsYyHHy4Z0muoA1AkfZeUjIvNm7/Jued2UFn5yom+pMQxc2aat72tHbPDHBxhcW2vqORKPP444+bPp2Lx4u5FfYYzrz8quQpNufxTjGzt7fDb35aSSg38D+zTTw/t1K5HAEWybdu2sEsIxLZt2/jAB9JMnZpm164E6bTxqld1cuyxjlKPP11xbq9IKCmh5K9/7f51uKv5RSZXgSmXf4qRbfdu46mnMif5UaNg3DjH3r25X23lvBRwMWgpYJH4G7VuHaNXriS1enXs1vAXCdJjjyVoaBjV/fs//mE88kgJndlH/5Mn7+cjH/kTBLAUsIjIsB364AfZ95vf6OQvkqOyMofZKxfvRx3lqKnppGRoj/67eXyTVkS8Zga6wycyJM7B888bqVTm9+nT0+zYkVmEzSyzBPu4cY4XX7QhP0lTB0BECi+dpnTzZjrOPjvsSkS8t3u38cADpTz2WIJDh4xEwjFmDBx7bCd79yZobc08/x871jF2rGPSpKEtwapHAEWSTCbDLiEQyuWXYuRKNDczbv58xr3vfZT++teBvx+ovXwT11xQ+GzPPWf86Edl/PWvJRw6lDnRd3YaBw4YDz9cwrHHdlJWlnn4X1rqOO64NGefPbQOgJYCLpKjjjqKmpqasMsoOOXyS6C50mnKb7uNsbW1lDzxBAClTU0c/NCHyPnhZI7UXn6Jay4ofLYtW0ppbh74/z/Zb8bmPe85xMyZaU45Jc3pp6cZPbqdPXv2wBGWAtYsABEZtoFW80vX1JBatUqD/ETy9NJLsGFDOS+/fLgxjFXpAAAgAElEQVQpfo6LLjrE9OmvnMtTqRSPPPIIaBaAiATmMKv57bvvPp38RYbh4EHj0KEj7WW0teW34poGAYpI3hLPPMOYL3zhldX8dNUvUjDl5Y7yco7QCXCMHp3fnXzdASiSTZs2hV1CIJTLL4XO1Tl1Kq1LlwLhXvWrvfwS11xQ2GwTJsDxx6cPu09VlWPyZHUAIq2hoSHsEgKhXH4JItfBq65iX2NjXmv4F4rayy9xzQWFz/aWt6Q5+uiBv92vrMxx1lkdef/fToMARUREImz3buP3v8+sA3DwYGYdgNe+1jFrVgfTp3f2+9K1oQ4C1BgAETkse+EF3FFHhV2GyIg1caLj3e9u714JsLQ0s224s+T1CEBEBpYd4T/hxBMp/d3vwq5GZEQzg9e8xlFd7ZgyZfgnf1AHQEQG0LWaX8XixdiBA1QsXEj3IuQiEgvqABRJfX192CUEQrn8csRcg8zrb/9f/yvgyoZnxLaXp+KaC/zKpjEARXLOOeeEXUIglMsvh8s14Gp+1dWkVq+O/Lz+kdhePotrLvArm2YBiAjs38+Ek04i8eKL3Zva6upoXbIktKl9IpKfQJcCNrN6M9tpZq1m1mRmpx9m3382s84+P2kze00+7y0iARg3jrbrrgMyV/37N24MdV6/iAQv50cAZnYx8BWgDngAuB64y8ze6JzbM8hhDngjsL97g3PP5V6uiATlYH09JBIcrK3ViV9kBMjnDsD1wBrn3Dedc48AHwZSwIIjHPe8c+65rp883tdrTU1NYZcQCOXyy2FzlZRw8JprvDz5j8j28lhcc4Ff2XLqAJhZGXAacG/XNpcZRHAPcObhDgUeMrNnzOxuM4v2iKIArFy5MuwSAqFcHnEunrmIaXuhXD7yKVtOgwDNbDLwNHCmc25Lj+1fBOY45/p1AszsjcA/Aw8C5cBVwAeAWc65hwZ6nzgOAkylUrHJ0pNy+SHR3EzFddex99Ofpvyss8Iup+Di1l5dlMs/UcgW6CDAXDjntjvnvu6c+5Nzrsk59yHgfjKPEkaMsD8QQVGuiOsxr7/s/vs55uMfh+xX98ZJbNqrD+Xyj0/Zcu0A7AHSwMQ+2ycCz+bwOg8A0w+3w6pVq5g1axbJZLLXz7x58/p93WJjYyPJZLLfayxatIgNGzb02rZ161aSySR79+7ttX358uWsWLGi17aWlhaSySTbt2/vtX3t2rUszX4FapdUKkUymez3/KehoWHAhSEWLFigHMoRaI6u1fx+s3gx/9p10m9vJ/H0017l6OJ7eyiHcgSRo6GhofvcOGPGDJLJJLW1tTQ2NvY7rq+c1wEwsyZgi3Pu2uzvBjwJrHTOfXmIr3E3sM85d9FAf4/jIwCRokmnKV+zhjE33oj1uNrXvH6RkSHIRwA3A1eZ2eVmNhO4DagA1gGY2XIzW9+1s5lda2bnm9lxZvYmM/sa8C/A6jze21t9e3xxoVwR09nJ2Pe9L7OGf/bk33Ne/9IvfjHkAoPhbXsdgXL5x6dsOa8D4Jy708yqgM+RufX/EHCec+757C6TgKk9DhlFZt2AY8lMF9wGzHXO3Tecwn0zZcqUsEsIhHJFTCJBx9vfTtnmzUD/q35vcx2BcvklrrnAr2xaClgkbtrbqbzySg5efXXk1/AXkcIb6iMAfRmQSNyUlXFg/foj7yciI5q+DlhERGQEUgegSPpOBYkL5Sqy7Lz+kj//Oa/DI5trmJTLL3HNBX5lUwegSJYtWxZ2CYFQruLpmtdfsXgxFfX1cOhQzq8RxVyFoFx+iWsu8CubBgEWSUtLi1ejQ4dKuYpgkHn9+++4g45zz83ppSKVq4CUyy9xzQXRyKZBgBET9gciKMoVrERzM5ULF1K6pfurN0hXV5NavTqvEf5RyVVoyuWXuOYCv7LpEYBIRJWvXcv4OXN6nfzb6urYt3mzpveJyLDpDoBIRNlzz/VazS/fq34RkYHoDkCR9P2iiLhQruC0LVpExwknFPSqPwq5gqBcfolrLvArm+4AFEkqlQq7hEAoV4DKy9n/i1/AmDEFe8lI5AqAcvklrrnAr2yaBSAiIhIjQX4boIgUQKK5mURzc9hliMgIpQ6ASLFlV/MbP2cOlR/+MHR0hF2RiIxA6gAUyd69e8MuIRDKlZueq/lZWxulf/wj5d/4RiDvNRC1l1+Uyz8+ZVMHoEgWLlwYdgmBUK4h6nHV33de/8FksrDvdRhqL78ol398ylYSxXWLd+7cORm4uqqqirKysrDLKYjp06czadKksMsoOOU6ssSOHYy97DLKN2zAsrf709XVHPif/+FQbS2MGlWQ9xkKtZdflMs/UcjW3t7Onj17ANZOmzZt12D7aRaASMDG3HADo1et6v69ra6O1iVLoLIyxKpEJK70XQAiEdH6qU9R9rOfQUeHVvMTkchQB0AkaGPG8PK3v03n5Mm66heRyNAgwCLZsGFD2CUEQrmGpnP69Eic/NVeflEu//iUTR2AItm2bVvYJQRCuYB0GvvHP4IrpoDUXn5RLv/4lE2DAEWGIdHcTOXChTgzXt64ERLqU4tIuLQUsEiQ+szrL2tqonzt2rCrEhEZMg0CFMlR11V/zwV90jU1pE86KcSqRERyozsAIkN1mNX89t13Hx1nnhlicSIiucmrA2Bm9Wa208xazazJzE4f4nFnmVm7mQ36TCKukkVc7rWYRlKu8v/6r+41/CFz1b9/40Zab7opEiP8h2IktVccKJd/fMqWcwfAzC4GvgLcAJwCbAXuMrOqIxw3AVgP3JNHnd678sorwy4hECMp18ErriD9utcBPa76PVvUZyS1Vxwol398ypbzLAAzawK2OOeuzf5uwFPASufclw5z3HeA7UAn8K/OuVMH21ezACSqSpqasM5O7078IjJyBDILwMzKgNOAe7u2uUwP4h5g0AegZlYL1AD/kcv7iURN+owzdPIXkVjIdRZAFVAC7O6zfTcwY6ADzOwNwP8F3u6c68zcMBCJKOdAn1ERGQECnQVgZgngW8ANzrkdXZuDfM+o2rRpU9glBCI2ubIj/CsvvRSci0+uPpTLL8rlH5+y5doB2AOkgYl9tk8Enh1g/3HAW4HV2dH/7cAS4GQzO2RmZw/2RqtWrWLWrFkkk8leP/Pmzev3P3BjY+OAIy8XLVrUb13mrVu3kkwm2bt3b6/ty5cvZ8WKFb22tbS0kEwm2b59e6/ta9euZenSpb22pVIpkskkTU1NvbY3NDRQX19PQ0NDr+0LFizwMkdfn/rUp7zPkdixg6tnzODuxYsZ9fOfM2rdOhoaGrzLAUf+XPX8HPqco6dFixbxla98JRY5+rbH7bffHoscfduj63Poe44uPXN0ZStWjoaGhu5z44wZM0gmk9TW1tLY2NjvuL4KNQjwSTKDAL/cZ18Dju/zEvXAvwAXAo8751r7vocGAUpRpNOUr1nDmBtv7J7aB9B6/fW0LVkSYmEiIvkb6iDAfFYCvBlYZ2Z/AB4ArgcqgHUAZrYcONY598HsAMGHex5sZs8Bbc65v+Xx3iIFkdixg8prrum3ml9q1SoN8hORESHnDoBz7s7snP/Pkbn1/xBwnnPu+ewuk4CphStRpLBKf/lLxl56aa+r/ra6OlqXLPFmQR8RkeHK67sAnHO3ArcO8rfaIxz7H2g6oISo47TTcEcfjT3zjK76RWTE0ncBFMlAAzniwMtc48dz4KtfPexqfl7mGgLl8oty+cenbPo2wCI555xzwi4hEL7m6jj3XDrOPXfQv/ua60iUyy/K5R+fsuU8C6AYNAtAREQkP4EsBSzig0RzM6M///nMqn4iIjIgPQKQ+Ogzr7/zuOM45NFXc4qIFJPuABRJ3xWe4iIquRLNzYybP5+KxYu7p/eV//d/530XICq5Ck25/KJc/vEpmzoARbJy5cqwSwhE6Lmya/iPnzOn16I+bXV17P/JT/L+Yp/QcwVEufyiXP7xKZsGARZJKpWKTZaewsxlLS2MveqqQFbzU3v5Rbn8EtdcEI1sGgQYMWF/IIISaq6KChI7d3b/erh5/bm/tNrLJ8rll7jmAr+yqQMg3nJHH03q5ptJ19Swf+NGWm+6SUv5iogMkWYBiNfa3/Uu2ufOhfLysEsREfGK7gAUSd/vf46LSOQK4OQfiVwBUC6/KJd/fMqmDkCRTJkyJewSAhFornSasp/+NJQFfdReflEuv8Q1F/iVTbMAJJISzc1ULlxI6ZYtvPz1r9N+4YVhlyQi4gXNAhA/DTCvv+LTn4YDB0IuTEQkXjQIUCKj51V/l655/RrdLyJSWLoDUCTbt28Pu4RAFCTXYVbzK9S8/lypvfyiXH6Jay7wK5s6AEWybNmysEsIRCFy2YsvMvrmm7vX8I/CvH61l1+Uyy9xzQV+ZdMgwCJpaWnxanToUBUqV9kPfsDYK6+kra6O1iVLQr/lr/byi3L5Ja65IBrZhjoIUGMAiiTsD0RQCpWr/YILeGnmTDpPOKEgrzdcai+/KJdf4poL/MqmRwASDWaROfmLiIwE6gBIUdju3WGXICIiPagDUCQrVqwIu4RAHDFXdoT/hFNPpWzjxuIUVQAjtr08pVx+iWsu8CubOgBFkkqlwi4hEIfLldixg3Hz51OxeDHW2krFJz6B/eMfRawufyOxvXymXH6Jay7wK5tmAUjhpdOUr1nDmBtv7J7aB0RmhL+ISJwFuhSwmdWb2U4zazWzJjM7/TD7nmVmvzGzPWaWMrO/mdl1+byvRF+vq/4IzesXEZHecp4GaGYXA18B6oAHgOuBu8zsjc65PQMccgBYBWzL/ve3A2vN7GXn3H/nXblEz8GDjDv/fBK7dnVv0lW/iEg05XMH4HpgjXPum865R4APAylgwUA7O+cecs7d4Zz7m3PuSefct4G7gNl5V+2hvXv3hl1CIHrlKi+ndfFiwP+r/hHRXjGiXH6Jay7wK1tOHQAzKwNOA+7t2uYygwjuAc4c4muckt33V7m8t+8WLlwYdgmB6Jvr0Pvfz4Gbbw5tDf9CGSntFRfK5Ze45gK/suX6CKAKKAH6TureDcw43IFm9hRwTPb4Zc65b+T43l775Cc/GXYJgeiXy4xDV1wRSi2FNGLaKyaUyy9xzQV+ZSvmUsBvB8YCZwBfNLNm59wdRXz/UJ100klhl1AYzoFZ96+xydWHcvlFufwS11zgV7ZcxwDsAdLAxD7bJwLPHu5A59wTzrm/OuduB74KLDvc/qtWrWLWrFkkk8leP/PmzWPTpk299m1sbCSZTPZ7jUWLFrFhw4Ze27Zu3Uoymez3nGb58uX9FnBoaWkhmUz2+3rHtWvXsnTp0l7bUqkUyWSSpqamXtsbGhqor6/vV9uCBQu8y3HN5Zcz9t3vpvQXv/A6R1zaQzmin6O2dgE/+pH/OeLSHnHM0dDQ0H1unDFjBslkktraWhobG/sd11fO6wCYWROwxTl3bfZ3A54EVjrnvjzE11gKXOGcmzbQ37vWAXjd62ZSVaV1AELXZ15/5+TJ7Lv/ftyECWFXJhJJzz1nPPZYCY88kiCdhqlTHTNndvD61zsSWn5NAhbkOgA3A1eZ2eVmNhO4DagA1gGY2XIzW9+1s5l91Mzmm9n07M+HgI8DGwZ47V7uuquMZ56xI+3mhb49SV8MNK/fjR6NPfMM4G+uI1Euv0Qp1xNPGHfeOYrNm0t5/vkE//hHgq1bS/j+90fxhz+U0Nk59NeKUq5Cimsu8Ctbzh0A59ydwCeAzwF/Ak4EznPOPZ/dZRIwtc97LM/u+3vgI8Ai59wNR3qvF1807ruvlPb2XKuMnm3btoVdQm6ya/iPnz2b0i1buje31dWx77776Dz+eMDDXEOkXH6JSq4DB+AXvyjj5Zf7X7ik08avflXKU08N/aImKrkKLa65wK9skV4K+He/O5FUqpLLLjvE5MnRqzO2nGPsxRdTds893ZvS1dWkVq/2emqfSNC2b0/wgx+UAYOf5E87rYNzz+0oXlEy4gS6FHAxOUdOt8ykAMw49K53df/aVlfHvs2bdfIXOYIXXjAOd/IHaGmJ/D+7MkIUcxpgXiZNclRV6eq/2A598IOU/ulPHLr4Yp34RYaodAj/oo4aFXwdIkMR6Q5ARYVjzpx2ysvDrmQEMiPl0fdai0TBpEmdlJY6OjoGvwtw/PHpIlYkMrhI34s677x2qqvjcfU/0DzTOFAuvyhXsCZPdrz5zYOf4F/96k5qaobeAYhKrkKLay7wK1vJsmXLwq6hn507d04Grp4ypYqysrKwyymIo446ipqamrDLyEinKb/tNqy1lc7Xv35YLxWpXAWkXH6JSi4zmDy5k3Qa9u410unMnYBEwjFliuO889o55pihv15UchVaXHNBNLK1t7ezZ88egLXTpk3bNdh+kZ4FMHPmTCoqtBBQISV27KDymmso3bKF9NSp7PvNb2DcuLDLEokV52D3buO55xJ0dsKrXtXJscc6Pf+XohjqLIBIjwGQAuqzmh9AyVNPUXbvvbS/970hFycSL2aZAcyTJul5v0SXOgAjQM+r/i7pmhpSq1ZphL+IyAgV6UGAcdL3CyiKpfz22wddza8QJ/+wcgVNufyiXH6Jay7wK5s6AEXS0NAQzhsfOtR9yz9dU8P+jRtpvekmqKwsyMuHlitgyuUX5fJLXHOBX9k0CDDuOjsZe/75pN/8ZlqXLCnYiV9ERKJJgwAlI5Hg5R/+EGIynVJERApDjwBGAp38RUSkD3UAPJdobqZk69awyxAREc+oA1Ak9fX1hX3BdJryW29l/Jw5VF55JaRShX39ISp4rohQLr8ol1/imgv8yqYOQJGcc845BXutRHMz4+bPp2LxYqytjZIdOxh9yy0Fe/1cFDJXlCiXX5TLL3HNBX5l0ywAnwywmh9k5vVrhL+IiIBmAcROormZyoULe6/mV11NavVqreYnIiI50yMAT5T99Kf9V/PbvFknfxERyYs6AEXS1NQ0rOMPfvSjdJx6Kunq6oKv5jccw80VVcrlF+XyS1xzgV/Z1AEokpUrVw7vBUpLeXndushd9Q87V0Qpl1+Uyy9xzQV+ZdMgwCJJpVKxydKTcvlFufyiXP6JQrahDgLUHYAiOeIHIp3Gdu0qTjEFFPYHPSjK5Rfl8ktcc4Ff2dQBiICuef3jLrwQDh4MuxwRERkB1AEIU4/V/Eq3bKHkkUcY/aUvhV2ViIiMAHl1AMys3sx2mlmrmTWZ2emH2fcCM7vbzJ4zs5fM7H4zm5d/yX5aunRpr9/7ruYHkK6poWPu3DDKy1vfXHGhXH5RLr/ENRf4lS3nDoCZXQx8BbgBOAXYCtxlZlWDHDIHuBt4J3Aq8EvgJ2Z2Ul4Ve2rKlCmZ/9Lnqr9LW10d++67L1Ij/IeiO1fMKJdflMsvcc0FfmXLeRaAmTUBW5xz12Z/N+ApYKVzbkj3r83sL8B3nXM3DvT3OM4C6DLqm9+k8rrrun/Xan4iIlJIgcwCMLMy4DTg3q5tLtODuAc4c4ivYcA44B+5vHdcHLrkEjre8hZAq/mJiEh4cv0ugCqgBNjdZ/tuYMYQX2MRUAncmeN7x0NZGalbb8VeekknfhERCU1RZwGYWRJYAvybc25PMd87bNu3b+/+7+k3vSk2J/+eueJEufyiXH6Jay7wK1uuHYA9QBqY2Gf7RODZwx1oZu8H1pI5+f/ySG+0atUqZs2aRTKZ7PUzb948Nm3a1GvfxsZGkslkv9dYtGgRGzZs6LVt69atJJNJ9u7d22v78uXLWbFiRa9tLS0tJJPJfg26du3afiM9U6kUyWQysw50Z2f39oaGBurr61m2bFmv/RcsWBD9HD105ejrve99byxy9G2PZcuWxSIH9G6Pnp9Dn3P0tGjRIq688spY5OjbHtdff30scvRtj67Poe85uvTM0ZWtWDkaGhq6z40zZswgmUxSW1tLY2Njv+P6KtQgwCfJDAL88iDHXAL8N3Cxc27jkd7D20GA6TTla9Yw6sc/Zv9PfgJlZd1/amlp8Wp06FApl1+Uyy/K5Z8oZAtyKeCbgavM7HIzmwncBlQA6wDMbLmZre/aOXvbfz3wceD3ZjYx+zM+j/eOrJ7z+ksfeIDRX/1qr7+H/YEIinL5Rbn8olz+8Slbzh0A59ydwCeAzwF/Ak4EznPOPZ/dZRIwtcchV5EZOHgL8EyPn6/lX3aEDDKv3/bvD7EoERGRw8t1FgAAzrlbgVsH+Vttn9//JZ/38EGiuZnKhQt7nfjTNTWkVq2KzSA/ERGJJ30XQJ5KmppyWs2v70CXuFAuvyiXX5TLPz5ly+sOgED6lFPofP3rKXn00SFd9adSqSJWVzzK5Rfl8oty+cenbDnPAigGX2YBlPzxj4z63vdoXbwYKivDLkdERGTIswB0B2AY0qeeSuupp4ZdhoiISM40BkBERGQEUgdgEInmZsYsWgQdHQV5vb4rR8WFcvlFufyiXP7xKZs6AH31mNc/+vbbKb91wNmOOVu4cGFBXidqlMsvyuUX5fKPT9lK+q5RHwU7d+6cDFxdVVVFWY/ldIOWaG5m7Ac+QPmGDVj2yj/x7LMcvPxyKCkZ1mtPnz6dSZMmFaLMSFEuvyiXX5TLP1HI1t7ezp49ewDWTps2bddg+2kWAHSv4T/mxhuxtrbuzW11dbQuWaIR/iIi4g3NAhgi27WLsQsW9F7Nr7qa1OrVWs1PRERia8SPAXATJmCZWyVAdjW/zZt18hcRkVgb8R0AKio4sGoV6eOOY//GjbTedFMgt/z7fq90XCiXX5TLL8rlH5+yjfhHAADpM85g3+9+B6XB/c+xbdu2wF47TMrlF+Xyi3L5x6dsGgQoIiISI0MdBBj/RwDpNGXf/z50doZdiYiISGTEugOQaG5m3Pz5jK2ro/zrXw+7HBERkciIZwegx2p+XdP7xtx4I/bCCyEXJiIiEg2x6wB0XfVXLF7cvahPurqal++4A3fUUaHVlUwmQ3vvICmXX5TLL8rlH5+yxWcp4HSa8ttuY2xtLSVPPNG9ua2ujgPr1tF53HHBFDtERx11FDU1NaHWEATl8oty+UW5/BOFbCNvKeCXX2b8299OyZNPAlrNT0RERqaRNwtg7FhSK1fiEgmt5iciInIEsVoIqGPOHPY98ACd06aFXYqIiEikxecOQFZUT/6bNm0Ku4RAKJdflMsvyuUfn7J51QGwlhaI4JiFoVixYkXYJQRCufyiXH5RLv/4lM2PDkB2Xv+EWbMYtX592NXkpaqqKuwSAqFcflEuvyiXf3zKFvkOQGLHjl7z+iuWLiXx1FNhlyUiIuK1SHcAyu68k/GzZ3ev5gdwMJmk8+ijQ6xKRETEf5GeBTD61ltfWc2vpobUqlWa2iciIlIAUe0AjAY4MHUqAIfe9z4OXnUVjBkDqVSoheVr27ZtpDyt/XCUyy/K5Rfl8k8UsrVlL5zJnksHE9UOQDXAw5/97Ctbeizv66Mrrriia2WmWFEuvyiXX5TLPxHLVg3cP9gfo7oU8KuB84DHgbbD7y0iIiI9jCZz8r9r7ty5ewfbKZIdABEREQlWpGcBiIiISDDUARARERmB1AEQEREZgdQBEBERGYHUARARERmB1AEoADOrN7OdZtZqZk1mdvph9r3AzO42s+fM7CUzu9/M5hWz3lzkmO0sM/uNme0xs5SZ/c3MritmvUOVS64+x51lZu1m9sega8xHju31z2bW2ecnbWavKWbNQ5Fre5nZKDP7gpk9bmZtZvZ3M7uiSOUOWY7t9Y0ebdSzzf5czJqHIo/2utTMHjKzA2b2jJndbmaRW/M9j1z1ZvZwj38PP1CsWofEOaefYfwAF5NZq+ByYCawBvgHUDXI/l8FPgGcBhwHfAE4CJwUdpYCZDs5e8zxwOuAJPAycGXYWYaTq8dxE4Bm4GfAH8POUYD2+mcgnf0cvqbrJ+wchWgv4EdkFkD5l+xn8Z+AM8POMsz2GteznYBjgT3AkrCzDDPXWUAHUA+8Hngb8Gfg+2FnGWaujwAvAheRmZN/MbAPeHfYWbprDLsA33+AJmBFj98NaAH+PYfX+AuwOOwsAWVrANaHnaUQuYDvAP8B3BDRDkBOuXp0AMaHXXuBc70j+w/zq8KuvZC5Bjj+vdkT59SwswyzvT4OPNZn2zXAk2FnGWau3wJf7LPtP4H7ws7S9aNHAMNgZmVkruTv7drmMq18D3DmEF/DyPTs/xFEjfkqULZTsvv+KoAS85JvLjOrBWrIdAAiZxjtZcBD2duud5tZpL5tK89c7wEeBD5pZi1m9qiZfdnMDrsuejEV4v9fwALgHudcZL4fPc9cvwOmmtk7s68xEfg3YFOw1Q5dnrnK6b+SbRswy8xKgqgzV+oADE8VUALs7rN9NzBpiK+xCKgE7ixgXYWQdzYze8rM2oAHgFucc98IpsS85JzLzN4A/F/gUudcZ7Dl5S2f9toFXA1cCLwPeAr4lZmdHFSRecgn1zRgNvAmMlfJ15K5DXtLQDXmY1j/dpjZZOCdwNcLX9qw5JzLOXc/cBlwh5kdIvO5fIHMXYCoyKe97gKuNLNTAczsrcCHgLLs64Uuql8GNCKYWRJYApzvnNsTdj0F9HZgLHAG8EUza3bO3RFyTXkxswTwLeAG59yOrs0hllQwzrntwPYem5rM7DjgeuCD4VRVEAmgE0g6514GMLP/A3zPzD7qnDsYanWFcQWZk+SPQq5j2MzsBGAFsAy4G5hM5lb5GuDK8Cobts8DE4HfZf8deRZYB/w7mc9n6HQHYHj2kHmGOrHP9olkGntQZvZ+YC3wb865XwZT3rDknc0594Rz7q/OudvJDHpcFkiF+ck11zjgrcDq7Oj/djKdtpPN7JCZnR1ksTnIu736eACYXqiiCiCfXLuAp7tO/ll/I9Nxm1LwCvMz3PaqBb7pnOsodGHDlE+uTwG/dc7d7Jz7i3PuF8BHgQXZxwFRkHMu51ybc+5KoILM4MbXATRabOYAAAIwSURBVE8A+51zzwdY65CpAzAMzrl24A/A3K5t2Wf6czncVzCaXQLcDrzfOffzoOvMR77ZBlBC5llYJOSRax/wZjIzHE7K/twGPJL971sCLnlICtheJ5M5gUZCnrl+CxxrZhU9ts0gc9XVElCpORlOe2U7nceR+TckUvLMVUFmMGNPnYAjInfbhtNezrm0c+6Z7JiB9wM/CbLWnIQ9CtH3H+B/Ayl6Tw3ZCxyT/ftyeoyCJzM17hDwYTK9x66fyI3EziPbR4H5ZK4gp5N53vUS8B9hZxlOrgGOj+osgFzb61rgfDInkzcBXwPagbPDzjLMXJVkrrTuIDMldQ7wKHBb2FkK8TkENgD3h11/Advrg2SmQn+YzEDbs8jciYpUxjxyvQG4NPtv4Szgu8DzwOvCztL1ozEAw+Scu9PMqoDPkTmRPwSc5165xTMJmNrjkKvIXBXfQu9BSevJjOqNjDyyJcj8n6CaTI9+B7DIObe2aEUPQR65vJBHrlHAV8jMJ08B24C5zrn7ilf1keWayzl3wMzOBVYBvyfzj/QdZB7dREY+n0MzGw9cAHysmLXmIo/2Wm9mY8msA/CfZObO30vm0UBk5NFeJWSmOL6RTMf6l8DbnHNPFq/qw7NsT0VERERGEI0BEBERGYHUARARERmB1AEQEREZgdQBEBERGYHUARARERmB1AEQEREZgdQBEBERGYHUARARERmB1AEQEREZgdQBEBERGYHUARARERmB/j/aHejxsBmI8gAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11b481630>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots()\n",
"# setup some sizes for each point (arbitrarily example here)\n",
"ssize = 100*abs(samp1-samp2) + 10 \n",
"ax.scatter(samp1, samp2, s=ssize, alpha=0.5)\n",
"allsamps = np.hstack((samp1,samp2))\n",
"ax.plot([min(allsamps),max(allsamps)],[min(allsamps),max(allsamps)], color='red', linestyle='--')\n",
"plt.xlim(min(allsamps),max(allsamps))\n",
"plt.ylim(min(allsamps),max(allsamps))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Note that in this case we use the first line return to get a handle to\n",
"> the axis, `ax`, and the figure ,`fig`. The axis can be used instead of\n",
"> `plt` in most cases, although the `xlim()` and `ylim()` calls can only\n",
"> be done through `plt`.\n",
"\n",
"> In general, figures and subplots can be created in matplotlib in a\n",
"> similar fashion to matlab, but they do not have to be explicitly\n",
"> invoked as you can see from the earlier examples.\n",
"\n",
"<a class=\"anchor\" id=\"subplots\"></a>\n",
"### Subplots\n",
"\n",
"These are very similar to matlab:"
"execution_count": 43,
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.text.Text at 0x119d32a90>"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11a5331d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.subplot(2, 1, 1)\n",
"plt.plot(x,cosx, '.-')\n",
"plt.xlim(-np.pi, np.pi)\n",
"plt.ylabel('Full sampling')\n",
"plt.subplot(2, 1, 2)\n",
"plt.plot(x[::30], cosx[::30], '.-')\n",
"plt.xlim(-np.pi, np.pi)\n",
"plt.ylabel('Subsampled')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a class=\"anchor\" id=\"displaying-images\"></a>\n",
"### Displaying images\n",
"\n",
"The main command for displaying images is `imshow()`"
"execution_count": 44,
"outputs": [
{
"data": {
"image/png": 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X7HuR5cPFTcYl5piTHHA5CJbu0VR+JG2sOKdV5HNlNIH6aeYJH5tXDczPibn/KHpg/RH0zOZfB/DfHX3HMn4upTSN3pr0RQB/BOCd1ZM17kBPITgE8DH0ktj8AYAfsXt9H3pJbD6FnnXgY+gts2stQ3AfQHIAf9rycuXnzvdJqq2c1yRTOkcnVwV0NbkTzBXENTguinp3gKdyQIauddCIc2WwGpyWY6BNFojo+zYTcZvrXSHwLHsE8yhmgOewHD5HFJ2fM+VHAO9gr/876EfMPrJ+RKDbxirSVrxNL9qScJ4yCEHJyVnMExct5wHuVS873H96dJTO+yCADxZ+3wXw/qMjd85jDJCwJpLXJbi7mU6lCVhPMiHofc7i5SuV1daUlpvc2pRZ+j/HOml293XoytB5RGZ3BXey9cnJydrkTmCrquoYG28TIe4m7lIblNq47XltGFZOSXK2HuXCjw5XPBjbMDo6isnJyT5rRZPf3sF9e3s7C/TO7L3dm5bheTueFpSjsT8IoJ30/k33OAkY+bO0AKhi3QadG9tYVC5Czom5Xyl53YG7a/FA+0jYaEI4y0khsgwMUm5bN0E0uUVMqS2I+TVqIiZLV5BWc/vs7Gy4fE1N7g7sZOoE9ZQSut1uzUI9MpyHmo1zLo8IRPX/3PO3bacmX6j+rkFqOXdNyZQfMXw38evniYmJvnvk/PcRs9dja2vr2Hduzo8i8iOgz0npt0jZjK4d1CxfemdKEt2vreJXOqeN9WEQlp4D+JMou5cBKC9DHS5SrgW4D8KkTmqiO8uBchaTVu7a005Yba/Tz87SNdI98qE7S3d2rmli9aBvnoDOtK0eIOZgTgCJAKOkoBFs/JkHaaMmoMkpD1oH/xspAk1g6Kw+pdQH9lHyHp5PRWpqaqo267Ndc6yeIK9Ar4qAKmBRVr3Sevsc6JSsUSWgOktpM04ui9m7BOwnKWMol0uuPLi3HZSlSfWkAKcTclttO/qcO0fr6Z9L92hi8IM+b9R2DugK6gRjAvjs7GzfsjX1o3u+91KAnII6gUVNxA4WJd+597+DZ2Smb8PcIubP73JJcTwDnl/vfRDVVX/j4c/uZSnIK8D7X2X4Y2NjfeMr8t0r0OdYvQJ/5K/PJddp40LJ9U3u96hto9+aZBDG22beyF3fdh7IlZMbV23u7+Xo37YW0KchQ7P8NQB34PiAvwzaeUlO8hIMcs9BGXzb9sqxdAazKaD7WnTP7+7snCzfAZ3BcVVV9QG6+3gV0MnS9dkcEKKUsE0bsERA7yARmcY9ba4CZnRE+eyjCbkJ8CMzt353cHBQ7Ntoa1zNEaDuF5r0tS3dqsL+IrA7sy+Z8XNxEr707jTv5knnjUEVcD//POer6wZYbWUI7tcE3E8jOVZ2We+X8x+etB5N4qzSo92dpWvUewTqDujK1HXzFj7n3t5eDRTO0pl0RSOzoz3Qox3Zoi1YfRlcbilcqQ8VkB3c3fQd7SXvO9PlwL8E/GqNYJBhTrHx77zvo/pT6fJ6+nMzUK/b7YZL79xU74Dv0fhRznzvd/ZLZMZn++RYe5v3Jbr2JApFju0+rfkoZ8mMpNReT1NRGUSG4P46APdImz/JC1Xyy7a976CSM8G1NenlzGZtTY8RqOt6dJrcebgfPTK5l3ZnU5ZOIIiCtDQoy9dTqz/YI779s+dpJ7hHG7zkTMGRyTsH8A7SGnCYy33vu9dphr1cDvzc2NH+V4DPKUXROPGd+Fwx0WNkZKSOkdD7qluFYM++3dzc7AN4/h/58H3Z3cHBQWityL0Xg0obM3vuvNPepyRnAao+jr0ePndEliS27WUAySG4X3NwjwZkziR+li9krqzTvgQ+YbOMs3qh9GWNssZpcJynf1WGHgXEOaiTpXMtdlVVtb88isQubXqin5UZOqjn9kFvswd6E2OP2lD7TIFePztQOkg66HtK3TagHwEQGT3rEj1/aeMbtnWkvLj1IarTyMhIPSYODg4wNzd3zF+vJnwHfmf49NtrH7Nvo/6LFJ8cqx/0/TrJ+9jm/Lb+9rb3O43VIpKSMvm0gXMI7tcI3HNsPPe//1Zi4EBzYFqbga8vVAmUS2xdP2sZUVltJwz+jVi6bqHKwDgNkNPAOD1ywK4sHUAfUGiUtf7VzU38cN9sZLJXZl5i5C65/o0mOweFNiwv8s1HYK9A7u0cHZ5yV/3jUepbrYeDuIN9U5CiZx9UpcOVFj2HY0GXNOqSOzfbb25u9h383lPmloLyov4u+c/PkpWWxlvJkpb7PbLmNdU1B/BNYz0nZ2m9GMrp5VqAu4Nm22uiz7lz2paVqxdwdv5yl0EZvJ7Pw3dgiwBdd2BTlq6+cwdzfibgsA04gUeArpN0tMMZJ+/IH+vpUNVsnzMtuv/a2W5uInafNb8vHXo9y/e6tAV831zHVx/4JjrO7lm+318ZvbaZxzG4lYOmcS3P19kruEdb7aaU+hLrRGCvJvzNzU1sbGz0/d3c3OwLuHSLTzQmSn2de8dO6nM/yXw1yL3OiimXgL2J+Z+0bc5SXu8KxpUH9wjUTtKpbbTcQX87rebvmnA0Ifik0+aF42dnWLpHOs3uc3NzYcR7bgmbR8RzAldQJ8NWFqZmVoJ7LiNalKQmyn6mz6pA46AZZXpzk7b2Q8RkHfRKS7gii4HW1+sdAb4H4xHkdeVC1E96jpvxfWMdB3yCfbfbxcjISPb59TkPDw/D8Ra5IHJmfHULMXuer5pwoHdWH8VrRAl0chKZ6/1zdG6b8krnR9aeQe4zqDigN817Z+0aPCsZmuWvAbgD7TXh8zSpPQ3Jme0GfcE4gWv2OIL6/Pw85ubmasZOpq752xUwNHucs3kNkCPrIpjrJBxFSPuyKV0m5SwsMrU6a3TTcBSZ7uu7WX8dWzkQz23M4iCiQXvuD27D+JsYvjN7T/cbHcrudZmbPjsZPoC+to4C86K/fA6ve1Ngnm8CxGQ6tBSwnSOQ39jYwPr6ev3XzfcekJdSyrocLkLcfdIkba0Qek6pnLZKShti8bRlCO7XBNyBs19CUjKhR/cY9OVrc130wpQYRKl8BQFNNqMsnVHvJX96BBIe9c57ejR0iVkpgEeBUroMygOl9Pnc9KsKSRR5nlt2FvmnCSi55XV6sK4exKdL7iIgzJm83fTv9WEb7O3tYWRkBDs7O9mI/FywowK9Wl18qRvvpeOr2+2GPvtSHnk9h2zcVxM0BQzquXQjueleQZ5HBPQ5hVGV6tNY+Jp+j5T2tmXkrHmDSDSH+r2a5qs23z0NGYL7NQJ34OTBH4OWf97XnNX17lP3ILnZ2VnMzc3Vh+Z5jwK1lOFrLngCASd8BropS+cE6wwqd0RBUdFk69nx3KoQuRN8uVYJ1N0Mquw7Wjuv/uFcZL9f69c3gX8usI3+bvd7R9HsqvSoohZt3OPLFX1Nu/aFjtloSWG0S5y2gSujkflelTe1VNBHz3X1VCyVza+trdXjUEGffnpNiKTLIk/6/qnkFPOcRS53bUmJb1NWrm4lcB8U1P3ap222H4L7FQf3y94Zrj239bOdtHzgOJsnqPvadAV0Zeo5f22OrdN03e12a0DLsSWdSB3gNfjJ9wbXydUZuiorpbz1kdnZwbyUDU5N5Azy8ox2Csy+lj6KCYhM/CXlwc3+ueV8PlFruSmlPuXLffaaadD3BYhiKRTo3Uev7FpZeykmQdua1hkye3Wz5Pz2HsDHZ1lYWKitQpubmzXAr62t1YDPcapuISqXPg7Pw8XXxLbbgO5JQDQHhJd9fh1KWa40uAPNL8RZ3ieSQc3xZ/3C+PO7P5MTNs3u9KkrsEeR75E/3TPJjYyM9GWPoxmUk+bq6mpoDtUgJ88JH+3apgxdE+k05a9nfdWkGy0J8yPXzgruuWx2/H58fLz19rJedmT2z1kFfF/6KFufm/UJ8hGrV199aVveSGnKReBHbViyRHj/a5sA6FPMcsxeXS0a7Dk3N9fH5h3kV1dX+3z0HoSndfXxwWf275qA083+ufihXDmDAvx5BeVdNmXgstXnacuVB/eLlEGUiqcx0BTUOUET1BcWFuqDPvZcnned0JX9EhyBHkAw4E0nSU6U/BsBu7IiX7LGQ90JBB2tm8cIENijVLYRSy8dziD1Myd2P//w8PBYulbe14Fd+4t/9bPeK/JNR/us+z7qmrgncms40B4cHNQ+e49dcPO9xmi4MqVKVK5t2b/atg7uEdAr2PPz/v5+GFDocRf6P1eBqOtofX0dq6ur9eGMnq4itinlJOZflbbXvt6BalAZmuWvAbjrpBEFkjR1WE5Lbrq+TRRrmwEWscVBBlkUeayBcvPz8/WhfvUoqCrytzLZCEGKLIYmTmc+7tP0dce+FEknco8P0B3mHNQjJlkCdWWpkQneA+cUWAAcA3WexyVh3ndudVCQ0j6L/vI6Z3dqMdAkPhHI+1JBVaR4KJsnyJPVdzqd2hS+s7NzzGKSy1SoCpYGwLkC4+DOe5YsGl5fbR/131Ox8ZUDPjampqYwPj5eW37m5+exuLhYM3j+VQuUgnxkjdH+KjHok4C6X9M0z0Xf5eqkYzqaR/1+T8NaehoZgvsVB3cfbIOaqE46WHOMCzibqP3SSxuZ4HU98OTkJObm5mqWvri4iIWFhT5Qj4LOfJLWIDn1I29ubvYBuTIdBXWNSNbla2qOjZ67FPTnOeyj3OsKJs7UI2atv1EiU7Gastkv9CXzfwUoBpcBT1K9ap9F6+q9zno+/1cWryBf2mrV13krAy25CxhboGlmPSBPx4/3ExXEyDcfjeVI3GLiYO+WFT7P/v7+MaXX8wCQ1U9PT9dMfnt7ux7Hq6urePz4MVZWVurPtEZtbW0VXUk6JqL3uI2UgL10bu57nQtL5CSaR7UM/3wZQXEI7lcc3NtKBPDR4B5Em26jDDT5vgYVn/B1DffExEQNhAT0+fn5YxOtR0brLm5kMtyVjeBBgHBAj8yXytLVN6zL1wjsfA6yqdyGNAroGhvg69ZzEe8KnBrk5UDqQEJA599Sn1DchBz1WS5hjisdDoZRHRWgc3uqR/uq+7aqvgzMgdOBVZMRqVlbTfZMgDQzM9PXZ2q2b2pP/q8JdBzQozryO/4lAGuKYs3Xr+vs1XRPBXllZQULCwt9455WKffJDwLK/pw5sD2JnPS6NvPWkLlffnldgHtOTvNC5TTi6B6DvuB6j4ipq+magDgzM4PFxUUsLS1hcXGxBnb3m/NcB3UyLNZXJ24C+MrKCh4/fozHjx/3mSvX19f7lrDpevQoGjoH6h70p0FymkQntza9ya/ukdR6rgKXg7mb46OxEB3ep7q8S4PYBgH4iKl65L0Cvebcd3D35ECaTyDH6NkWWv7IyAi2trb6EiIRHNmXGufhy+p8fEfvQvQ+RO0RMXsemoNgf3//WDyBBuRFz7CwsFCPf7L51dXV2kKlmRK1DhHDbVJsBrEAnkSZOI1cdmAfSk+uBbi3ZdKRRKb9p3n/tqKTHgPMaLamCZ7ArlHwEUv3zHNk6t1uty/hjJomOaER2MnWCerKXtyMqsBOUItM7xrJr0vuPPGMboYSpU51U7ZbOjwDHfsw8uf6eIhMr86moyVpkRVBGbxbFhzkdQxovaL7aYT95ORkGITnjD5alqiJeDRZDu+tlhiumuD44Zryx48f14paTmHz5yy9A+o+8bbIAX0E+nwmtXL4joV0T/F90aDU+fl5rKysYG5urs9cTyXJg+5Y/9y4OkvG3iSnmSsHvfYiFYHrxsQHlSsN7m001hKjzvnLB63DSZSCtmZ9/dzpdPqi4MkmlpaWsLS0VIOjb8OqTF0nVgV1TsxcBqT+RmUqBHWylYil+4SqwOWg7kyd1gb1pXsedQX3yH8etR2VIk8vS4nMqRFYeN+XgF3jCnIWGDfX6+eSwuL19nZnf0Tr4xXsfdc1XQvum6+Uou7J6DU+QxXFmZkZrK6u9gE9x2JuOV30fuYYr/+W679IEVIF5eDgoG/FhUbgu8uIiijfq8ePH9euKW0zt1w1vetP0yQeWRZlU/KpAAAgAElEQVSi+18lUAeGZnngioM7EK8v9d+eRh3OwnJQOoesk2BNQL9582btY1e/tK7/9rSyBEiyra2trRrUCeR6kLnTr67MLmp/N0mmlGqTugI6WZBaGiJQV0DWv20Zn7ahs32gf9MWB3IHiOi8EkOkdLv96VlL9XRmr8pRzgfv9yVYjY6OhsluNDEOgVhXQWhmQQJWFHWvovdXVsx4jfHx8T5g5CoO9r/2PYDWfct28/9VufT20npWVVVbKHZ3d/tM9bpGXt8pz+xIpZSWrfX1dXQ6nTqegUp0tD5+kLnjPEDzuoEaMAR34BqAu0vErlycaeeuOW1nl6wGpf/1e/qmaYZngM+NGzewuLh4zL/u5ncFTjIRrlGPzO8rKyt49OhRFtSVwXndfbkXmXbkv9T16b7XuyYh8fXL7mNnG0V9pp8dMNXXruc7C28Ccb/GLRjajzkmWTJ3KrBHrFaf060GBHP2udeRv9Oasr+/X4OXgjyBnsxeg/A8sYsre91uLxWsBv95EJ5vUsSx6mw+Z73wcVhS+Pldp9Op2977cm9vry9o0JdZzszM1BY0z7nAsR2Z6jVgcRBpM1/4M/vck4tViH4vjcVcGW3m3acpQ3C/ZuA+KCiXzmsq67RMva1/UaN35+fncfPmTdy8eRM3btzAwsJCn3nTAV2Xv42O9rr64OCgBnVGviuoK7CTgWjObc0S5svHCCoEo8nJybreDPZTRcRZeilQLtqxLRfprlJVVWMEul4fmdjbgnxkImdfRueyHvwc+ZMd3HMAzz5QRkqAcnB3kB8fHz+W5tazDirAu19eQd6TEfHQ1LxMfrSxsYHV1dVjAMnVHZHJ3vt9UGbvJn6CvPe9bvqzt7eH6elpVFXVF9jJ8R2BO9/JlZWVWjnW9fGRmf4kgBtd1+bZ25xf+q0E7IPUbSjnJ9cK3AeRSLtvq32etz+Jk46vW79x40YN7DQJaurVaC04J0ONfmew0+rqam16V2AnqDP6naDOCVFBUidEAMfyedPKwCAkKhu+aYsDegTwOdYOPDGtq+k78mm7fz7H1tn/bdh6ThmIxkrE1FlXn/Dd155bEaDlaN2UtftSxNxmLqOjozg8POxby04Qm52dPbY/uqcO9rz4ei/WTXPGc1wS6HXdPMdKtC2tA33OT98EVD4OdPxQKdEgvIODg5rJqzKqqwR8CSctYOre0HdKx6v3/2nlqvnKz0rOg7mnlL4M4F8PfvpIVVXvPzrnZwD8IIBFAJ8F8L6qqr4kZUwA+DCAdwOYAPAigB+uquqenLME4JcAfBeALoDfBvCBqqo2B3meawPug3QkX6ToupJG2tacPoi4ds5JfGxsrJ4olpaWamBfWlrq81M7a9AgJU7UUc539a0T1FdWVur1u1ynrn5VBUq2j/rWOcnRn05FZHFxsa4bze7ROvSmpWElgCYDiyR3LZ/BwdpZeMTsmpi9968rEnpvjZaPzPledz1fAV7vTQsKz8/lco988QR5TdmqSyl9i97IF0/w8s/aXlQCuNXr1tZWn0Kh+xt4LnvPH68KX25JYSk4kaCu41qtILu7u8f89KwHlVVd0qkKCl1Pjx8/xtjYWP1+RQlwdG7ScUPJzXNtWH8TWWmjEF0lJn4OdX0LgBH5/98G8D8DeAEAUko/AeBHAbwHwFcA/CyAF1NKb66qau/omucBvBPA9wBYA/AR9MD7O6TcXwewDOA5AOMAPgrgVwB8/yCVvTbgfhbS5iU6DaCXXh4FdmbNIuslSJKxO6Br1C4nQE6eBHWyBy5PWllZwcOHD4+xdU7W6htU07AyZQV2ug4WFxdx69Yt3Lp1Czdv3qwVEU1l6+Zn9YM6aEWTcW6CzvVNFH1OyQF4DvSd+TorzjFvvx//MqjPgd3bx9tGwUuf3QGC5Y6OjmaBXT8zx/zIyEjfZwV63wbYMxB6dD5XVPiyOrX4MACP+9BrJjweyt6j5DMK9rqqIorZKClJAOpztL/29/drcD88PAyXatIPrzn4NfMjQZ4rTthubAtVMrT/zwtUBwH2qyTnwdyrqnqo/6eU/gaA/7eqqj86+uoDAD5UVdXvHf3+HgCvAfhuAC+klOYBvBfA91ZV9YdH5/wAgC+klN5aVdXLKaU3A3gHgG+pqurzR+e8H8AnU0o/XlXVq22f59qDe5vB2mYQtPV/tS0nAiomdOHadfrXPTFNFK1LVkwTPHe+Ipj7sjb1ra+trbU2wftLo1HwBHbWe35+vg6S8g1F2O7KliLLSASQ/jslYu85Jsd78m+OhVMik3zEhp11e/21XAeT6NmcsTct//N60w3AzwpWOWD3HPM5pULrNDo62pf8Rn3+uvTOt8H1lMS8JqVUJ8hxgM4d6tLR1RbRjnHR/7l8CR5bQpBnXRXguT6e7il3M/CgQk03R2n/+Bagk/2tzVzlc1Hb+15mOQ9wV0kpjQH4WwD+66P/vwHAXQAvSXlrKaXPAfg29Nj9W9DDXD3nr1JKrxyd8zKAbwWwQmA/kk8BqAC8DcAn2tbxWoJ7GyBu4V9p9d2gZUTnKLBzmdvt27f72K8zdk0vSwbBiUeD5XQ5G0GdjJ3bW9JESFDXeuVM2JzYp6amMD8/jxs3buD27du4fft2rYzo3t+a850SseQ2/eXn81CTtE5YOTCMALsE8CUfu4O7tqE/c8mE6m3fxi3hAE8GyP95P/cnj4yM9AGqAjsB1o9cW/Jenp1Ny1eA1w1v+J1bSaJ3Re+tDNyDDj03gjN+3WNBLRG+DJP3U0VQYwoIypHbQFeu+A56qhB0Op06foFusOid4OezAl0fN22vYV0us5w3uAP4mwAWAPyTo//vogfAr9l5rx39BvRM7XtVVa0VzrkL4J7+WFXVYUrpkZzTSq48uJcG5WU1MelkyQmISV1u3LhRm7XpX1eGzuVk3Lp1YmICnU5vBy8uXfKschow9/DhwzoZjabMVBN7xDa17poyllHwdB0sLS3VgX460TkjcjCNgtAcfHmNmy75vzNYrbMDo/q9I595ZJpXk2xk2tb6O/hqO+rEE7HEiLF7+zWNr5yi5GDP52iy0njdDw8PMTEx0WeCV0uAPxMZ9MTERO1n193sNPWtgqe3l6YGjhQPV0Ic7H0rWI0n8CMCex2/qshQedEd8cje+VdN9v5Xl81pnnp///T94G/ReHe57GD8tOWTn/wkPvnJT/Z91+128e3f/u149tln2xTxXgD/0yBm8qctVxrcI63zNCasqOyzLMNZTqfTqQNymGmOjF2XuqkZnok/COwppXpzFw+Ue/z4cR+oP3r0qI7aLbH1iLEDqCfJycnJOhGNBs2xvpqr3lmQA7dP4t5ODrDOTL1tlZ3y+9w66Uh5KB25gLScOb7Jv19ixRGwR4zd2yBqQwX7iAl6OYwFYDs7+NMM3+32ltHt7+/XfUzGH7WHls/rJicnj21yoyCfC1gsAR7vH8VwKNgrq492SlSWrRvfaH9ojIFm/1PlQC1YjPzXtNBu4aKLTPNJRBL1qbeHW7yi9vIyS/9fFWli7t/5nd+J7/zO7+z7bm9vDw8ePGgsO6X0RgD/AXq+dMqrABJ67FzZ+zKAz8s54ymleWPvy0e/8Zw7dr8RADfknFZypcE9krMwW50n49dJkhHxc3NzNVuPgD3ak310dBRVVdXLiHJ+9YcPH+LBgwe1j0+3quQLEE2CKgQZMg/uPMcsebQicDLkRBWBO0XBmhKxdz9XmXsJyPR/B8hIcmMmx+Zz5ns3HUdlkZFFLD1inU2gHrUB71eaxJ0Bt5UcO9ZnzkX9A0+C1cbGxmoLAIPpdEtaZ/E5YNdn8s/aFm5VANBXfwd6BXlP6axL4agIRbnqVTmYnZ2tAV+XsEb7KKSUsolv9NlKfZxrmzZyViTpIuUc6/he9AD89+VeX04pvYpehPufAUDqBdC9Db2IeAD4UwAHR+d8/OicNwF4I4A/PjrnjwEsppS+uXrid38OPcXhc4NU8tqAewTqbSaBqBz923RdrqxosuWkwsQ0GhHvjJ1ArqA+NzdXJ6RhMhCNflfW/vDhw5qtP3r0qI6E1yQaWqfocHOqb4OpS9yUfUTbsEZR8pwQWQ+dwJ1dq6m45N/WflG2FgFuG6YeMXYPAItAzC0EWhbPLbFz9yPn/Nz+vLkxGJ2rpnZ/tugZHVwjhcYVOO9vfRciCwXHjgbeuXXEFZPo+fRvFECoz6YBf9vb230Bd87mPfJdTfcaoa/bHTMansrDwsJCnXFSD7UQjIyM9O3fEG0nm5OTsO8210TWgNw5PO88iVJJmph77pomSb0H+tsAPlpVla+9fR7AT6WUvoTeUrgPAfgajoLgql6A3a8C+HBKaQXAOoBfAPDZqqpePjrniymlFwH8o5TS+9BbCveLAH6jGtAFcG3Ava1cpMapjJ2BaDdv3sTy8nIN7ArqugsVA+fIXre2trC6uooHDx7UrJ3HgwcP8ODBA9y/f7+Ohnc/XgTmKqwnQV0tCAR1muAd1N30mQP3qA4RcDvg8jxnzD7hR+DuZeZkEIB3kCsxdj+3tHVtBOylsRW1rStHPkH7M3kSGn/O3LNEFgi9f6QI8H99Ri4F9UQ4zsS9rXNto8/mQX0ate+7xGk9GWMSpZt1sKdS6/EEBwcHx9ItM8hOd2jUDWvI4Pls+v6yDyNS44rbINL0TpSkrXL5NOS8wB09c/y/BuC/D67/uZTSNHpr0hcB/BGAd1ZP1rgDwI8BOATwMfSS2PwBgB+xor4PvSQ2n0Ivic3H0FtmN5BcaXCPzHBt2XpJMx3kvk2iwEXNXZe6eYQ5mTEPTf7S7XbrjTg0UI6pYsnSHzx4UC91o+avy9u8Xj6RkbFEE5lnwPPJKJeIRs2ybEP9n/Wg2VRBKTIzRy+vKypu5nZgc5Dy/nUgi0Ce99X7RdYBLUMtItEyLv1bikzXvxS2aW6Maj0UzNVf7IAXHfyd5fGZ6C4CnmwJG/URP3v7KNhrf7riE7VLqWwCt+6G5xH7nojHFR66DLgaJdpK2aPmx8fH+0B+d3e3jpcZGRnB3NxcPQ40ap+ugbGxsXrJ3Pb2dt0nkRUjGr+R+PiMPjdJNBZLZT9tOS9wr6rqf0F/Ihv//YMAPlj4fRfA+4+O3DmPMWDCmkiuNLgDxyd8/XtREjFST05z8+ZN3Llzp14TTlM8GTvXtRPYq6q3oQUT0miAnDJ2muO5zE3zwUf1U8bEqP2pqaljyXE4cWnGMGXsEfP0ezhQs+88aEvTpEYTt4Nv7rmie7t5OTq0bAV0B3e9dwQ0Xo6ClwZ0RQAfbZii5easFDnxZ2sD7Dlw9994fwbZ8f8I3KP6eHuqRUOj272tIvauhyoZan5XoGUQn+5vT9+/583XJDt0rfkOjM7ENekPM/rt7e3VsTP8nQq1gnv0vJqfPteuKk1jovR/JJGi7b9F1oShPH258uB+2cS1WE56ZOyLi4u4c+dO7WPXBDU0eZO1U3M/PDys/evK1jXTXORfp6/P66cASAbJ/OG0HOS24sxNtLkEIKWJ19mHgrEy49yElTP5ajklP3AE5P5/ZIp2pcKfWdmzAzvHg7ejK0c5gI/aU/9vYmLORkvA3gTwCt46lhzooz5j/+pyMm0/9UlTmdTUxW6NKbWFmuadvetfBXim2GWaXQd5VRS2t7fr3PgEe13mxsM33yGLp0nflQZl/1Sg19fXkVI6FjvTBKauGLu0BeMI1C+jnBdzv0oyBHcM7hvKvSjRxOvJaW7dunXMFO/+da4TT6mXFGRrawvr6+u1qV3BncCu69eZaa7kq9RAOUbA8/6Li4t9O7e5T9SBJ5psm9pFJ1+adTkJ83PbCGln71GdIuArAbp/5+Z4BbWchcDHiLs+ot3worZtoyyVzKFefwV2/VsC95Ifns8/OjpaWyZcodF3RoF9b++JO5IuGSaA0dSt6s+OGLu2CT9rH7hSQ1au7JxAz13ruHOdb3dLa5i22+7ubg3MGxsbx3LjE+BnZmawvr5eb8zEOWB6ehpjY2NYWFioy3ElkO8en9/TRJdYu7+XgwCZv1/sV59bLptcN7AeVK40uDeZIpuuHcSE1aY8rZMGBzHn+u3bt48Fzymo85iamsLo6GjtX9elbe5fv3//fv2Z62N96YyDACcNMnUuaWOdPBc8gD4w40ReSqwSsVatS9TenU6nb/JXwI/KivogB+6lPm5i8zmAj+4XgayCnKdHzaVWzSWu4d9S5LzePwqYixi4s3QPMosC3HRyZ13pc3dgZ30VaLlhjD5Tp9PpsyIxaFN3g4ueO1JyKO5SOTg4wNjYWF/6W7dmMHJe951fW1vr2y1RrRd6Lf3yBGlfWsfgVG7StLOzU7vmmKqZq2LUusM5hc9bVVWtHKmZ3smHj/+zAL3LzuCHzP2Kg3tbyU3oJZZZKienseoEw3Xh3NXt9u3buHPnTl/mOT+41A0AdnZ26l3cNA+8L3V7+PBhnd1K18RqHZ2tc4LxterckpXKBSdSNUn7c5YAJmeW9kA6vybH4B1U9fpIuXKTfO5+pXpHS8TcDdAUzX4SYG/D2F1KgX/K2CNmHq0C8PN9bAHIPreDutaZZfM5tc4jIyN9IEjGqwqPjqE2ipv3J9uZIB+1EwFel6MySZSmbd7Z2anbRMepgj2VdJrYmY2SmzVpWTdu3KhZ/40bN8KNcHQlxcbGBnZ3d+v78pkja1VuvEdtdxqguwwgOQT3awbuajKKfgPywDzofXLfc+Kh9q3L3ehn18A5DZ6jKX53dxcbGxs1kBPYmXGOiWloiieTcDaldYrW1jN3vZrhfUtWB7gmxYYSMWA/z4Ge5yuDPzw87AN5vS4CvIi5az0iyQF8NOlHikqkRETKUATikb+9ZJL3SdtNz6UjYu7+vf+v4O7PlItryCk9+g6yX1N6sqyRwOsZ4pS1R6svonGXG4NUINj2Csh6Hp+fUfS0IrBOjx49wtpaL8kYl5lqH9A1QUUBeGKZ4FJYLlPV3Ri73W6dxplJb3xjG32H1HLAcZcb35GrSPtMz9cxdpK58qKBcgju1wzcgYuJ1NTJi5OGmuKVsTuok7FPTEwAeMLYCeQK8J5xjvnh9/b2jg1m1omgzgh4RurfunWrvr9uFUtm4BOxTx4lBSf3e8T8HRQpZO6dTqcGHQcRz4pWsijkfotYcM4U70pKBGDRpOLxCrn17KU4hqhdvZ65JC0KnpEJvkkBiKxBWm8FHFd6cu2rSpemmdUlYRyPkauiBOzaB/6d1o2Z5Vwh0Lagz5v18k1nfH92bWt3TUTme2aYZBAfA/q63W4dzLq4uBgGbbINqEgMmuxG343c922ZfklOArRDOb1cG3DXyfUkmuZpr1GtXBm7Zp7T4DlmeCNj5svJVLIPHz7sA3Zl6w8fPuzbZMJfZioZIyMjdfQuTfCsy82bN/ui4X1LVmfcbFtt44i9t21Ln6BclL0rc+f32uYR0DqIl9hKpAyUAN6vidrCnzPHzEvAnis/chlEhz+DKmpt1rArY/cYA1dUtL6lurP+VBK73W69IoSfHdh9/X/OFeAmeGegOq5csXTljG1B37yCvLtV+D+XqZHFa3nef7okb3Nzs466Z+R+VVVYXl7G0tJSCPDejgxG5H1LAB+1Xe49Kb3LJ5kzn5YMmfsVBfemyTSSUseddpCyPgTTubm5eh0717Krb52MeX5+vt7VjctpGBynkfEE9vv379eM3Xdz07ro8jZuSKN565kFr7QlqwIHJ0ROhpzoo7YrAWauH0rnalAdWXzEIJsApanvSuBZYu1Nz+hg6D7TUka6qPwcSLtv3NlrBPARyOsmKG6Oj54lWnPe1A8KugRLBXffjyBSgBTIojEV/eaWHO9/Hh5zkEsmxGcmm2e6WK5W8fdTr2c/cE09N3/y9fUAsLS0hPHxcSwtLdX39fHId7Lb7dZBdoMy+LOWi2bs1w2sB5UrCe45aQPsTZpomwHhwMYoYWfsutzNgZ3+NADY3d3F+vp6zdAJ7GTp9+/fr5k8GbtP4AD62PrMzExdFx50C6gv09dZOyi4KTBqw6b/vR8idjAIwKtfUcE9mny1T31yzwGRAmFkwfDrtWxtM7ZXBObRuvYca2e5Duq5jHKRqTky4euhy8G8XH1mjvVSVH+TghUpSVQQcjEHkQskKjMaX9F9/f5qAdKo+pzyx3OAftcXl9DpDnca6Opjhn21ubnZp2i5iX9xcbEOxAP6fes8R0GeQXY+LnNtclLyc1nZ+5C5XzNwvwjhxMQo9IWFhZqxa2S8Z56bmprCyMhIvWxGs84RyO/fv18fBHZOFip8wRihz+VtVDBu377dl58+MntyclW26hO1+kn51yc9rVOJFTcBvDMzTro+sUaTs4Ni03302byOEcDnrvN2UKbbBOzO4r3+CjiM5Nad03z3tKg+Wpb6533LUlqFyDwJuqXnaWOKd3Hg5n3cp95kBciNqejZ9d4eC6HjTmM8XKHQdwRArdhzfTytcDz0GrWA8BnVUsL3WwNkea4mt+EzuJVJ3Sjq+sj1Qa69muSygjplCO7XDNxz2ilwNoPRmZ++dLOzs/XubmTsmlJWGfv4+DiqqsL29na9q5v609UM//DhQzx+/DjMEc+DygXXBjNg7vbt27VvX7dj9Qxz7meP2isC3hI7axJlG7yvT+IOuDw3Yu8Ri/b6N7Fv3idiuhHbdDNrZCFqAvdShj9tJ4KtZlRzhu1xAVGb6zMp49ekLr7JkJvec0euD7TvvO2jzw7sWk70HG5tagJ8V848KNAZr4KnuiQmJibq73QbVy59Yw56Lncjk/c6a2Df/v5+rRCMjY3V9eV7T2IwOzsbBlHqOGV5JaUn93/UZm2+a1PWUJ6OXBtwbxpQbcxOg2itnBi4dIcmcPq2aQLX6HgGz6WU6pdYs8wR4MnWCeybm5vHAnVYD5rhp6am6kQ0miiHueE9hawG0GnwWuRP94m3pES10ZgHnYD1O2UzDriRsuF9m2PuUb1y/nYHOX2uqL0iQC9lpeP1EVvX/c6j5DIllubP5WxRFQaCCUFPM6MNAuxNUhprkZT6JwJ4v1dOQW8D7lybzz4kg1agp7JEFs8MexMTEzXIR0o68CQHPhNRpZRqCwL7AECdGGdhYaGvbhorwLrwGbydImU31zdN311GMB8y92sE7hR/Mc9aFBD4UhPYaYrXXPEaSDc5OYlOp1OvY9dgOR737t3D/fv38eDBgzqDFSdhBzOaA7nETQP4GIlPtp7ba12D5By0o8mxrZzmxcqBr5shVdr4fJ0p5kyuJeXDryuNNSpfJdZeAnaazMmmCewMwPLsar4MS8GOf9XfrmDuVgCOBeY8yFkvIuXJwUPbpkmxi6wobA+3ZuQCHqM+yymqGrOhrimW435/VdjIrMm8WU8GtTF9Lo+VlZUa5LnDm7cpn42bRLF8jiX+zz3hFxYWjiV50sBJPo8HRvo8WQL7kyhtUbs/TfAcgvs1AfcmUMp9B5xs0Cmw0xzPhDDO2DVBDYCasTNgjkBOM/y9e/dqxq6JLXwSYCKMubm52h1A5YJr1xk0p5tPOLArYGpbRZNuibG3efFzWn8JSKOJWc35uXNLdXCm79dEAFm6Nho/ymojtl7qC2XWvosZDwViT0ATgbyW6z72KH88gD4wiUz+UZ+VgD3X39F4i1h4BOp85ia2zn7jd255iGIdorgTLYvtQ0at7xLbV9fE63u4vr5eK+4EYbegMSiOdaOljVaUhYWFmsEDOLbygSZ5RuUrk9e+KkkJ2Evzpo6BQZWCs5LrBtaDyrUA99NImwEOHJ8kRkdH+7ZvVT+7b8IyMzOD8fHxOnhuZWWlBnMFdZrjydh95y2dVOgKuHXrFpaXl7G8vFyvpacZ0Nm6b8+qYKnMSNtGn3+Q9oraLdf+PjGruTK6VqP61cyok3dTnZqi0iNgB45bCPxZ9PwcU/cNY7wvlLErW3dfu7NtZ/EegMiyc4qBKgQAahBhqlYHVY99UGUnUhr1u1w7R8qDB3jqs0Rr+r2v1UKl9dQ+cktE5J7y8aP9pkofgLoPNfGNbu/KtmVueYoGrRKUV1ZW+p5F4zT4vmsfqfKmkfeRiynH5KPnvkoyZO6vI3AflKFHL7SyZkbG3759u2bsvic7Gfvo6GjN2B89etQH7Pfu3auBnXnit7a2ju3qpsF79K97WlvuER351z3xhk4iTYxXX349r8Se20wMkcUlAvmoP3J1a8vcnb1Fz+aMDyiDu17XxNg95gFAH/jmgD06SiZ6BUfPTudMPGKnbF/Wi+OH/eOgqH8dSFQiRYRt4ECkv7t1w/3N+jxR0CPLULae87l7H0fKpP7VMg4PD48FIqq5X+cS+uF12aEqWjTRczWMBsJ2Op1amaeJPtrtj/Xe3d2t2zkH7NHc53LZgXAI7tcU3HODsQ3AlwY2X2DdECYyx3ta2cPDQ2xvb2N1dbXPx07G/tprr/WZ4n0fdrcWUKlwxs4NJ9wEHwE7TYCcRAZtU58wKbmJPgeGORbXBuB9Yiox6ag+PsFH4BaBlwKygwbrE7F13b5TwZ11VWDnOmk1xSugR997KlltX1Uc1PSeawcHPa2f1jlqHwUKB1SKM2/1D+cUE32H9Xr1KasSoPXXe/vvbpIvKYmuPABP0iAruNOV4cqF/tV2J4NPKfX54vlsW1tbqKqqZvwcP+Pj4+h0ejvpzc7O1td7zgJ1v+QU6NyzRhasNtJWyR/K+ci1APdoELnG7YyC3zeVq+U7sDM5jAfQMZiNwL61tXXMx07Gfu/ePTx48ADr6+u1X0zBlhMAl9rQv7+8vIw7d+7UEfG+zM0BXQ9OLJwkIzbaxExL7V56qUsgP4g4oOdMu7ln4PNH0ew8nN0oo4vMvPyOipgCOk2y/KxLEJVVE7Ad3Ang/N6TpKilJ8fAAfQBIOtOkNAlks5M2SZVVdXgc3BwkB07UZurGVsT8ZC1UlFw9u4rANgXUYsuAL0AACAASURBVNpcVSZoYfCAQFVcHNxzymLkYnAlURUkVUj4LOPj4zg4OMDU1FSfssKxwgx30X1pon/8+DE6nU7fhjLah5wjGKuh4K4uDB0DZ81Yo3fyacuQuV8jcNe//lklMkXlytRyGR1LX/eNGzfq3Zs0SY2mdk0pYWdnB2tra8cYuwbPra6u9q2BpXDSmJiYwMzMTM3YGRXPVLLT09P1Jha5zTYihqrPmTua2udpa+al+7nSlutnrXvEsMkGea4DvdfDmRnNrW2BncFzDt5RIB03FtGo+RwT96WOXMqlQKauHiqIviugT9YejR31j48Nj/PwlQCa5lVjATzQUD8re9e1/tr3wJP3yJUzD6jjM/pzRRYgfY/UD87y2B9scx1fVPoV3PnbyMgItra20Ol0+pJVcYxsbm4CQD2OdFMbZrGbm5sLcxeoEphbOqntVpLLzsiH4H7FwT3HFkosHshH10cTk77A4+PjfTur5fzsMzMzSKm3lp37sXtUPP/nlq3O2PWeMzMzfXvC37lzp3YD6ISswXI60fjBZ4qigaN2iCa3nBKgE+h5SdSfuc8lRY6gR8WNzEqBXFmfsneKB5axjVkeI6XVXcK+IUhxInZWTsZOQCeo8zcPuFSQUBau4K73YXpVbi40OztbR3erZULN4Oqvj3zdDqDObBXcPWkO20VNyGoNYd+7qyGKNdA+yjF3NYu3IQb8jb+zjGhTG7WKeTuwf/j+KejzN1rytP2rqqo3lXnw4EFdFveRUAav/nd35/B7T3Bz3cDtuj3PoHKlwR3IA3z0f9vyvGyyG7JnsnY1x5OxT01N1TtEra+v18DuB4Pn6GN332Sn06n3teYubroJjW/TqiwtB9jOOCi5JT8qTQy4TbsPAvo5RcN/j2IpBmEeynJ1wuWkHZkyec8owlzdKBMTE315BjTAKudjV1bOvwrsZOusi6ZNVYWCVgJVJAjOBH6OOyZBYmDW+Ph4n2KnQDoyMhJuUBNlSFNftPdhFOTX7fayvRGEuMQsUhjdJ6//83z147tJ3eMMqDzou5AbN+7SUXCPxqe/2wRllqHgrsvmuFyOZdHtQAb/6NGjPgWS5XIN/OLiYm0RVHCnMsn6ufup9L5cFTkJsF83ZeDKgzulSdv2/9sOYk5S7mvXZW8K7pOTkwCA7e3tOvucJqhhZPyjR4/qda5qSuT9GJHve8Lznr7xiwd55Z5ND05SbYA9YsRaZpt+KJ1T+i5Xvvdh9D8n0FJ/E3z0f65w8MhyZagRuKuioBO1mrqBJ9Hi9I0qK3dQV2BnfcjS1FJDQC9ZCQ4PD+sxQzcQzfJ6nbY1AdT902r94Xk0R7ONNGjQxc3r3W63BiAyUp7n7NqvV8uK97sqZqo8+9FkddL3BuhXDNkXrgTqofenIsB+o/WELjYqg64ksJ22t7ePKXUcc5yr5ufna7eNx3EwC54mLIosdCW5zGA4BPdrBO6nkRzYc6KnOZ4MWiPjCepcy97tduvAF4+K18xzNIs60xkZebIHO1PZ3r59uy9wjpN2zjwdTSr+XPo5d/i5Wn6pzFzZufvl3AZtFQ5/Vn9undhzddQJl599M5YSuFM8mM6301UGrSZ3/essnpHwOpG7+0VNtK70KUCoAjg6Ooput1vXV8/Vz2wfBXIFuUhhBHBsPb+CVbRGnIoBAwsZ6+CxApFCqfXJrf5oGnN+TlS++u7Z12o54zPoeHEFxK/V82g50QRU+r5r6tq9vT1sbGzgwYMHNfPnNZ1Op3YR3rx5s29skcWzXrpJzWmlSeEeytOT1wW4txlwEWPnZOpBdDTHz83N1Qd3eeOSN13Prj72lZUVbG5u9mWeU2Bn8Jz62DVwjhq9T9oebFRiq/q8bcG11Ka5c0qKg97H752bxP2+EdBGCogqULm/ClSceJVVshy9h98T6GdzHsSo7IuMvQTqaoJXH7EnMtHfNDBLTfasv7JoAjYVg1wfKChFfa79qAqrLsNUgCLj99UJdBMweGxnZ6duf29PH6ssm0qQP2tUVz8i95S2h5fHevPZdExoxL9H/+u1eq+qqur4jOnp6VpZ0/GTUqr95lwixwh6Wl84T0xPT9f+d25Dy6yX3HNet6ON3pmc5M69LOA+ZO7nAO4ppZ8G8NP29Rerqvrrcs7PAPhBAIsAPgvgfVVVfems6xJJ2w7kC8jc7TTHu5+doEsf5sbGRr3kTZe73b9/v28TGA/AUtM//es0xdPcT8bmoB5FLSvYOwDlJmZlJ2RLOkmq2bLk26dEy8tyQO4BTk0AHx0e+at19rrpRO1to8u+ShaBiO1E7aN94tnnfOmbAjv7lUwsAnW9R66tdbxov7JOUZ+4uZrXRv2gbaplexS4MnfemwA2MTFRR3Rr8BgDDj1nQ6SYaXCjAnVOkfQ2dEuEvxP6LijzVqsM28kT9LhrR8t1xYGxGhoNr4paVVU1KBPgAdRsn38ZJMlIerp6NJ7D95vXd6bNXNkG2C8CNIfgfn7M/S8APAeAb3Kdeiml9BMAfhTAewB8BcDPAngxpfTmqqr2BrlJxBZL3w9SbqfTqV+QxcVFLC0t9ZnjydhnZmYwNjaGbrdba9HO2H13t2jZ0uTkJGZmZuo88Xfv3u1LTuPMys3BwJNc4Mpg3B8ZPScnLZpByar0Gl26k5uYHOSdVbYB98hUSsmBeu75XBTocxORTqD6LCcxW7oSxkleM9BFyWjIft3sG1kDVLz99Fy1bmjQYNRv2r/uR9Z+8DHiZmv3RytT1XLGxsbqQL9SvnsG+vE++hno3zpVFZGSZcjbMjcWeQ/2C/uGbQygz/LgkfzO3FWJ9JgZzidqUdExWVUVtra2agWQwXEMsKPffmZmBp3Ok30oFhcXj7mAOPY8mZADfPTelMD7MgDledQhpfQMgP8KwDsBTAP45wB+oKqq/1POKZLXlNIEgA8DeDeACQAvAvjhqqruyTlLAH4JwHcB6AL4bQAfqKpqs21dzwvcD6qqup/57QMAPlRV1e8BQErpPQBeA/DdAF5oe4PTAnhT2R5Et7S0dMwczy1cO53eTm9c9uaM/dGjR1hdXa0Dovw+Gjy3vLyMu3fvYnl5GXNzc3X6Wp/MOVEos3KAcl8f0B9kxnMjcKcvUMtzcI/MowD6JlEFCWecTX8pXvfouUp96Z+dUecUH33eXNkRWEWKg1pZdDOYaB913ld999GKCG+bEjtVph61iZblVgK3iqgJmyDHz2pFckuDg7u3j25mo8xSQYfuEtbdx1+keOSUysg6FIG6K0MO7sAT5dcB3bMG6jvl74ZbSiL3DvAkal7L3tnZwerqKjqdTm3aZxwQmfzCwsKxOA9+ZrtHY+oqykmBvfS8KSWC9UsA3gHgAYBvBLAi57Qhr8+jpxx8D4A1AB9BD7y/Q2736wCW0SPJ4wA+CuBXAHx/22c5L3D/xpTSvwSwA+CPAfxkVVX/IqX0DQDuotc4AICqqtZSSp8D8G0YANxVdNI+rSiw65r2xcXFPlCnuUuBXfdi597sKysrWF9fr7Vj3kPvMzU1Ve/DfvfuXdy+fbtm7Lrm2MEjB0qcODyaOzfglXHpObQARMucSpNkDmBKwO4HxZl57ln82hIgq3ACc2aq55Ymiui3COx92Zcf7o+NgL0EjnrvSJnS8rW9SmPCmXjOJ63tqOU3uQn8GRTstGwyUwIZy89ZenScAOgDSNYrulYV38g1oyCv5RFotZ9zvna9PmeR0fbQewDoGy/6t6p6eePX19dx//59TE1N1ctlydpHR0cxPz/ftwqDBxVMbT+P+i+NeZeI9T9NOQ9wB/B3AbxSVdUPyndftXOK5DWlNA/gvQC+t6qqPzw65wcAfCGl9Naqql5OKb0ZPeXhW6qq+vzROe8H8MmU0o9XVfVqm2c5D3D/EwB/G8BfAXgDgA8C+F9TSv8WesBeofewKq8d/TawtAH2aKD5hKifmRSC4K7L3gjsDFapqqpe9qYbwjx48KBm7NwIRu9Bxj41NVVnnrt79y7u3r2LpaUlzM7O9gXquKbOF84naAfXaJlQ9NxqetQyokQlPrlHIB2ZhnPXRP2oTNMZuz8r618Cj0hyLNvHR+n6pnMjgI8OlkFg08lfl7Q11cXBQwHDwZkSKVcKgjxHM8Ype+e5Xr73f2Tl8WdwRYD9TwCLgFIPigJTFIwXWZGUMdN65eXpc0XA7oCuh7ZpLh5FY2oYH6HKDsGdlh9NBXxwcIDNzU08fPiwJg0zMzP1Hhfz8/OYnZ3tC+Tkwe84Rp21D/JesJ2uofwNAH+QUnoBwNsB/EsAv1xV1T8GgJbk9S3o4a6e81cppVeOznkZwLcCWCGwH8mn0MPOtwH4RJvKnjm4V1X1ovz7Fymll9HTbv4jAF88abmf/vSn8fWvfx3Ak1SMh4eH9brOsxBl07OzszWwk7XPzs7WpvKJiYkQ2AnuBHZNUqMTkvrBlpeX8YY3vKEP2Kempo4xA2UXzsQ4sfrkUjJhK3vLAXO0xlsBNQfsXlYOQFw4iUaToysmPrFHyoKLT1I68er/JQvJIKwgegYvn89CV4iCe2RS9klXn8EVA2eDDtBRXzoIUtRtQ2ap9dCxxPNLAB+1k/adlre7u9v3fa7/KQRr1iNnQfDxSnD3+rhiqwqTL5X0Maag7cpXyXXhPnAAteuGgKxL2sjit7a28OjRo3ozGWYeZCIuBu1ubW1ha2urzw9P10hbt5f2l4uXBQBf//rX8elPfxrPPvtsY7mnkZMy9wb5NwC8D8A/BPCfA3grgF9IKe1WVfVraEdelwHsVVW1VjjnLoB7+mNVVYcppUcYgASf+1K4qqpWU0r/D4B/E8Bn0AuyW0Z/AywD+Pzxq5/Is88+ixdeeAFf+tKX6omQkaRH96nPjQabM8LoHJbL/MyLi4vHzPEzMzN1JCvXma6srPSZ4pkvnls5egDd6OgoJicna8b+hje8AcvLy7h582YdGc8NIQD0MYOgfftMhs50cxq3g6yCA6OOfTLPXV8yrecYeu45vO5Rv7p51etQEn1Wt3yUgN3bP2pXZzvRvR2gIiaYc2c0+az5m6+91rGvQWf67ByXEZPkOREr1TGj7ZFTFCIlRdvYLQLavlG8gN9Hx0kE7lFQoveLt6kqR17vqB+0flQyIsU5B/Csl+bXpzBv/Pr6eg3MBFGOUZrnHzx4cIyUMGPiwsICNjY2+tj71tZWHegZBSZ6+zS9awwG1Gj8Z5555tyBnfU7B+kAeLmqqr939P8/Sz2L9H8C4NfO44ankXMH95TSLHrA/k+qqvpySulV9IIE/uzo93n0TA0fOUn5JbAeoI4AnmSLYppZmuMJ6swgNTExUbMJ38aVrJ25ofly6EtNkz+B/ZlnnqnTyhLY1RwPlBOxlBiullECaJ+sOSlFwO7XRhOkT8KRlADdmZODYG5yjp6zSZwp5sBef88pTj7puQIUmWSpoLKPnUVHzFfrq/d1Vujgrm3qwWLuB9bscqo46rOTWapZmxIx68j37mMgAn71MZcAPhprOSAtjSFNaOTgTtHlY14f73f+luv/CNxpFdC2nZqawv7+PhYXF7G1tYWNjY3aRM92Ojw8rC2K9+/fx/T0dJ3Qhjk5ZmZm6vS0VBL4lwpDtP79qkhTnT/zmc/gM5/5zLHvn3vuuZLy8f8B+IJ99wUA/+HR51fRTF5fBTCeUpo39r589BvPuaM3SSmNALgh5zTKeaxz/3kA/xQ9U/y/AuDvA9gH8JtHpzwP4KdSSl9CL5rwQwC+hpZ+hDbigN9mcNJUrr529bPPzMxgZmamD9jX19drpk7W/vjx4z5g10mXuzfNzc3h1q1bNWO/detW33p5vuA6kfok6RN1rg309xwgRwCvTCqnpedYTxPQ5gA9Yn8RA/T7lgDZ2yhSOvzZIrCPyvSJXdvJGQ7BVDd20YQvZKyUJoD3e3h7OVhx/OlnnbhZbpRwxq/XMc16RxaeiKlG5mf2PQ+NuFfAAnDM9+6WAn9uoD+ZTrTiwPtcf6MVyxU5fT8iBYbPwufLtUXE3PkMapLX5YA0t3NuIiBH5vmVlZU6roebW3U6ndpcv7S0VJvnueUsXYke6BmN85xcBoWgVIe3v/3tePvb3973XUqpTnmckc8CeJN99yYcBdW1JK9/it7S8OcAfPzonDcBeCN6wec4+ruYUvrm6onfnUvLP1eqoMp5MPd/Fb0w/psA7gP43wB8a1VVDwGgqqqfSylNoxfWvwjgjwC8sxpwjbtLBGZNA8xBj0vS5ufn6zXtXMtO5q5BdMraHz58WPvZNzY2+nLG86Wm8rC4uIg7d+7gmWeewfLyMm7cuBHmk1b/s04aOolr/Uss2tmEA4QDfGRiLLVfm/7JMfVoos4BW6Q45MrMBQGyT0ptFj1j1C7O7HNtpM/CbWXV5Mn4Bger3BG1ezQJaz00cj4HjiXzuZbV6XTqPdijQE+Kg14U+a8A7rnptb08gtuViRxoe1S6smM/V+uU0nE3l/d5BOx8T4E4EK/E3KNxyOA+Zurj8jYC/ObmJtbX1/s28+l2u/V202NjY3V+jqWlpdrtODMzg8PDwxrYeRDgNWBPn7vt/HoN5b8B8NmU0k+iFxz3NvTWs/8dOadIXqtegN2vAvhwSmkFwDqAXwDw2aqqXj4654sppRcB/KOU0vvQWwr3iwB+o2oZKQ+cT0Ddf9zinA+iF0V/LtJGs6TwpdM0swsLC8ei48naq6qq15Ry6ZsCu2/fqi/09PQ0lpaWcPfuXbzhDW+oN4Kh0sBMZP4MOmmxPKB/4siBuH/2Zy+1S64tm9hvDnRLQXLKcCNg8/IjtsdDTYrOhn0Sju6TAzUfMwr4kfnS/6f/2hnzyMhI7ZfUCTTXlzkAB/qtCRo8F5Xnz6RlK5hpf7gSoG3vwWUsz839zlCpvEZ9zGciuBH8fbUB3wneT58nun+uXaKxHSl0WmdV2hT0XVmLgN0tGXze3Hui8xVTzNKXznHP9lH/+/3792uLJBUDuiBp4neAZw6GSKm97HIe9a2q6v9IKf1NAP8AwN8D8GX0Esv8ppzThrz+GIBDAB9DL4nNHwD4Ebvd96GXxOZT6CWx+Rh6y+xay7XILR8B0CAA3+n0b+lKExaBndHrzKRFcxdN8mqOp7/KJzc1xzO1LDeD0a1b9QVXH6MDng9cZ1ol1hcBV+5FyAF7NAmyHJ2U+b9H3fv9SqCu9Y0AnQk4uFbXs5yxfGePEeDkIqr9uZXhRcpMri0JAtpvo6Oj2Rzfei/9v3TPnNLkfV8CMmenWg8CkZqffVmfg5q2swf6qUtC78nP3je838HBQQ36qlBEynBOsfD20M9aD4I5xyC/Z9lqhk8phbkhomBFtcSwbP6NFEftAzJ45pRn9Lxex+1hV1ZWcO/evToRFxNzcVOsxcVFbGxs1IcyeD5LTqm8jKB/XspIVVW/D+D3G875IArktaqqXQDvPzpy5zzGAAlrIrkW4H4a4eSqy98I7BpEx9SXNHU9evSoD9h9b/boJVxaWsLy8nIN7Iy8n5iYCIPoOAHoyxqBewnQI9AqKT0KCoOKg4ICsZtUte7OCCNLgysKnsY1ys1OoOd93Oetu27xr+ZBz7F7rVsOoLxN9HmdZbJOJfN2CbxzLM+v0wm6SfHNjafIAlBVVR/AeTS9Aqy2qdaLdXUF1sc925ngvr+/X7s0ohgCvt+Rrz+noEbfuUWN9/JMjg72Kj6WHCzV+hFZoCKliQx+cnIS29vbdX3YZt1ubxtdJtl69dVXsbi4WLsCSWrm5+exuLiI9fX1YwCv5v7LCOSRXKW6npdcaXBvyzZz53Di4QCnBqusnSavkZGROkkE92l/9OhRbY7nTm/KFPnyEdi5y9vS0lLfenndwlM1df7vZtAcuEcMpcRGc22YezHIZvSvn6/1d2CPGGkOzB2UtDwFdgI6JyIeurWl3svBnXkSeNCC4pnhcn5bHW/O+koMWxkw+9aToeSA29s76gNva71vpMCVxkEE1jqG2A4KyLxe37NIwdRx5GPDx4lHkh8cHNTvJVm8s1xXLCJgjVh8VB/vU62nKhJRbgi/DyWyQnlO/SiVLetCH7xa//QcXk9X4v379+tNsDgHjY+P18RmfX29PgjytIRFyuNllatSz/OUKw3uQHvze2RedtZOk7xGx3MThqp6kt6R27kyveza2lqdhU79lAT32dnZel/2O3fuYHFxsfbh84XkxOOg6cydAK8Dl5OVR99GQF+awHjP3EvhwJ4DGJ1cImD3ydTrFLFUneA0/zh9hWQaak4kuLslRAGerIcBjZwkdT92Zfb8q22vz6RjLQIDbV+9NrLSRO0ZLb+K2iz3e0lJUACPlD9GbyuTdnDT59f+zilxXseSws420tzq+/v7tVtDA9RUEXErllte2swf+lxuudBx5cqs91WuT6mg0J1El5yzeFccdA7jWNUxwvJ173em1NaNqTTeaG1trQZ3rvzRaPw2oHkZFIFB7912HFwVufLgXjKtlf5X1s6B7YydzLrT6WB7exvr6+t4/PhxzdjVz54zx8/NzeHGjRv19q0LCwt1zme+kDT5q7mP9dOJlMBO37wG7fEl15zkbmrO+duB4+Z4Z1+58/X/CJiURWnbRwwmYkXO2N3H7rnZI+tAZEWI/JgUNfmSwe/v72N8fLxveSP7yMcX+82f3a0bETuPziu1pd876huXErBHfeT9lQNGHSt+fsT4I6UwpxBG9QKexKZowF1uL4TIrdCWtUfiylkE7JGS5qDtoM7vo3gGj21QEsGxqs+qbby3t1eTk9deew23bt3C4uIipqenMTIyUlsvFxYWavY+Pz9fW8M0Y573eZNyOZSnL1ca3H2yaXMuPxMsNZDO17RzN6WUnqxrX1lZwaNHj7CyslIve6M5npq0atPz8/M1uNMcTz87wZdg7ZN6DuD5DAruytbVl8zyI3OoS46Jt5Fogo7aPvrf7+u/OcNxJqOTuLsinOmoL1TNqCxTTcv8Xs9hH6sbJWLs0bPq71qe+sJdSSopARGQlpiv38Pvl7umFIjnz9YEnrl66LiJnpVlu++d1yioR8pbFCsxCGuP2kXL9/dV+zSqZwTqCu46NvyaKL5AlXqOe7Yx8CQVLIOBX3vttZpwMOU1938n0eFBoGdd1cLDezjAq1wE2J/EanDdlJIrDe6nEb4QXBaia9rpZ5+cnESn0+mLOHVgd9bOiZ+m/ps3b+L27du4efMm5ufn+xi7ms0B9E10BBkNjGHZyvD5LJ1Op4+xK8BrdPKgrF3/8gWOwNkPPXcQBSFXbo6NRcFoep6yH1c4qAhR0WJ7qSLEe1O4bG1iYuJYeU3PGVkrdHlXjsl6m7IsLTOnMJXqoS4kv8bB3M3qJbAvWRgiiZ47CiKjuAsgUohywK7XRvUYxAKi5+r7qtfTsqDWIAXy3N71bmVScFdLFevB8cyUr5wz1N3HunBzmfv37+PWrVu4efNmTXJIdNbW1mpwp5mebi61sjUplW3b8qxlCO7XBNxzk4iDkp5Lk/z09HSdO14T1pC1A+iLkCe4r62tYXNzsy93vDLo6elpLCws4ObNm3VqWfrZHdg1EpfMMAJ2fV43CfJ53CQfJcfwNmrL1B20c+2d6x+9TwSG+r+eG/ns2dZjY2N9v7tCwMlQGbJaVvTILZcC+oFY2b8z96YJwqOl9fm0zBKj5r0UbLXNmsDa+yUnqiA5S9My2wB9m/vx/NKhz+11iO5X8rW3ldwzlMrIsXSCuYO8m9yjOIsoyE7deBpzw7qROOj1TMDFza6Wl5f7Nphhchxl71wNxJ3jmsbmRQPlENyvAbi3nTD8fJrkOZDVJK8R8gxE0Qh5TTEbrWkfGxurfe23bt2q17NTYSj5wB3Yq6qqX1DWX9mBTl4aABYl7PD2iEDkNJNxrs2b+iT6XoElN2FrHdVUqiyFS+E4EXICnJyc7NtIQxUhj4Z30G37jH6NMiwAfRO0szEv25/TzcxRXaL+0/N11YVbClRYRw3c1H5QVqzAErVBxDj9HYhAPRrz+s65RUHdWF7PXPtE/+fGdVSOtyXHn+deULAvRca7FSPH6tmmGndDiyPHO+vJ4Dqmzr53714dZHfjxo06AFgJD4+NjY06cDjXdpcFIIfgfg3APZImBkkTtprkNYiOCWuq6kk2OprkCewc5A7stAaQtdPPrhvC5CKGdWLSyGm3QJBJ8Z4eHR+l2fS2yTGjUjuWmH9URtQPg4B+dP8ogM2v50S4v7+P3d3dui0A9CX+0PwCPllzotRnVJAoRX2XRPuX8Rz8noqbAplfG4Ehf4sUM1cW3MpQMi1HipZeR7DwGIRcGylQ6318ySetVW5xY9vxO/abjn9VbKMgs5J7SttHnztqPxVXQgjsytYjcC+Z43MgHjF81k2tWQwCpXCFB+es3d3deu37gwcPcOvWLSwvLx/LXa8HrZWMMXIXhI+riwbLi77/RcuVB/fSSxcJJwiCsKaX1Qh5BlHRhLWyslL72sna+aKoOV6T4ag5Xhm7TrxqbgT6k2Vw0tN6K9D4xObreXOTWA7Yc6ASta9PfDkLQI6JnlTUFB35gZU1+ZI2MnZNHqRZAf0+7jJJKYWbqpSeTdukKVob6F9uFik3/rxN4vfXsebg2el0arCOgM0VTa2TL0NzQNWyFKj4nQZAKsBHzx9ZC3yViLul2rS992mJuefaWf3jDuxNpvg24J5j7aqQjo+P18mdtH05T/D+GxsbePToUW2a39zcrOcwRs67y3JqaqovxXY0Z1wGYB/KNQD3QURfAE7yml6WQXTqa2eE/OPHj7G6utqXiU4DkvjycAempaWlvvXsGtSmE5xP2FpPSmSu1YmN93ZzZY6xe6BWjrmrKFuLfuPfHMiX+mSQ37UeOctAVVV9EywBI6VUK19c4hgpNc4OyeA1rqFkfm7Tpm6hYflRVjJthwiMXEHU+kT147VR3VSB1HK9HlGf6sHz/wAAIABJREFUK7A5k3ZA1gDRg4ODbH3UmhHFnqhLiqxTExI1Wcu0LP9/UIB3du0A38TYSyb3aDzp3KHBpRMTE7U7gPfg83Mt/sHBwbGdLVdWVuqcD2TvfkxPT9fBdd5vlwnUm+az3DXXSa4luEeTET+7SV4ZO8GdEy7Xtiu4b25uHvO1q5mVGzEw0x397M4ClblQlF1E0cDRuZFP0RmIXq+ThU8cPL/UprkJ8qTAXiozdw3L9nZS8Uh0RhETAAjOXmcFE+DJqgo3eeZMziVg92clkNJ6oOzZTa7+/CXFQv9nW/g1EVBE5frv0T15DyqrERP1duN41SBHV261LXS86jnK2gnqviLFLS1Nz6rPrH0WWTMo6mrwyHYF8wjY24B6rj+UWOi1BO9ut1sruAR33n9vb69eBURw574akWVTk3oxvXMba8dFyBDcrym4A8dBnQfNVoyS58AlsJPRccnI6upqDexc+sYIedeauZWiR8dHwJ57cRWgldVFwKA+xCZm4qCjk1ETKLeZFEvsPVfOacTbIjKzUsbGxrC/v98XZKUTKs+PwAl4wt49GrkNuEdKpj+HWpQUtEq+d71vdH811+aUXa+fBymW7qW/lVi8ghrZtZvsfRxHeQqiwEq1WkVLGqOA0kHHYKSA5iwiued2sM+Z412BKfUF8ETx1IA6nnN4eFhv2arWK23fbvfJtrArKyu1751Z/5QAObhvbW0dcxtGbXNRMgT3awDuPsmWJlE3yasfiaYo7te+s7ODjY2NGtzX19eP5Y9nuRpIxwxPJWDndREzA2IG78/XBOgRg9P/mwA+d8+2zD0H7FGZbeqfAxYHefWhs40mJyfrCF8ChS5h9Pv6xKxWAg0W8/tHbRsxPAdcbxdVGv1Z/dqo/7xvvS65fi61be4c/97bge3pDFxdGxp972xcr2PZrgSov10D6qIgutIY1vK9T5SV5oBe215N9DlAV1Bveme83dWSpOydz03GTvM87+WK0/7+PjY2Nmr2vrq6iu3tbczNzdVbyhLY1TTPNM+R4nUZZAjuVxTco5e09MIqE6ZJnoOV5niaz0dHR+tdxtbW1rC6uloH0UX542kNoC+X+ZkZcR8FE2m9XEv3IzfBR8+sE0+JSTsINIE7gGPPoXUoMVbvh9L/LjlgjyRqO/a3Jv7gZjMHBwd9ddB2o1WGk6Mzo7bBih5N7Ipa7pn1eSJw8nvlfLMONH6u31etGLk21jpGv+XaIMoRAKAPhOlT73af7N8eKSeqYEVWlZxFwN+dHHg6gOtzR0pZU7s7wHuWuVxQGv9G/aJKkcYccPlbVVU4ODio88Lr/eiapPl+a2urXve+urqKra0tzM7O1nOlAjzZO4kL35XrBozXQa4kuDdJ9CLwJWAkqA5UMncuF9nd3cXGxkYN7gR2mrmcPejyt/n5eUxPT9caNfAkgYTXiRMOTWZq6td6+zO1Abuc5IDYg/acEZfKy5Xr7a+fS8wvKk+/08mkNOmRySsTB1DvJqamb53A1aRNkz6XRnr9eH0EpP5cUUAY25f3U2WJ1zRZTPSz1kfHmIOnBnB5XSP2qs/s4qCv/+tzsP1Zz8PDw2MbJ3mwnY8BV3rc1BwBek45KknuOXNto8+tZXiQnbN14PgqBu0Hj5HR8arBnsCTPRHoXqHZfWdnp/5NYxw45zADpyboWlxcrFeUMCZJD86XLPcyyutd4biW4K6ikwEZtmqiCu5cxsMoeUbHE9yZepHlclJhmUxhS9au4O4DTcGOE1oOGF3agns02bQB9lw9SxYD/lVw8XN9go2YYElZyLWNM3YAdV/yYPKOw8PDvjwAvJf2lQY7MgGJmvC13SKlIFffqF0UMPQoKTW5333y17bx650Zer9FkgN3vV+ujAikeExMTNRgRdDx59P7+JFj6ZE5vgmYB3mncu+p9o8qMhGw6zNpudE7qtd6e3EO4UoFkobt7W1sb2/XxISKk7r0mHP+8ePHNbjv7u7WbkomfOJBVyYVXx1juTZ72uy+NFZL11wnudbg7gDKiNooQp6BdIeHh9ja2qpZOxM30JTLSVB9Xgyk43axun7azfD8W5pkSiwtYrPRM7OO/C4auDpR8P8cYOYmx8hv72WdVLTcKOBI2akf+gwUzwmgzFDbSMGOS5iagNsVJW8PVR6oVKhEbZwD+KiuUfvrffU+GmRG4OHnnFKiZbaVCDAd5OlPr6qqDoTTPsyVmwP56HObcXgW4zVSLKL7aN9EwK7nRawf6J9/2J88n4otwZ27uunyNQ8s5bI4xhhtbm5iZmYGY2NjfdkcdcnwxMQEdnd3+1Y9XBaAHIL7FQf3tp2h4E5/O7VPN8nv7e3V4M49jfliaHAVJ0kufyNrn56erpe+sY7uo48mpKbAnzbMMGJk+sJF10WMw5WiXH0iJlZSNtr2X65sXzLE6z24KsrOp/5ZBXjtH20nfhc9V+4aB3ht40gRyLWPl1lqz6j/S0qW9q2u1Vflw8vNKZJN4s+Yays/lwAfAXOkIOcAPrq+xC5dyYvuWxKdF3Lvs9fJlTltHzfpu0neM/ABT1w/vI6xRRsbG31LeFkOCQ2XxTFh1+bmZr1BkmZ1pA+e8+b29vax1QiXASSH4H5Fwf0kDJHgzuQM9BvR9ETfrPrbGSEfJa1JKdWR97Ozs/WWsRpIFw10nYTcX6iHRtjz76Dg7hN3jpVFk3+bSdInoAi0TsqIvOxSQBL7Qre7pejyLk14QnBX4I4m2uj7CNiBfA56luHneZCiP7sDoJalf/UzJ3athz+LWjYI8HQ75Bh8aeLz39pMrFVV9a1GcMCJrDDR80cAnxtvpbHowO5tNsg842lw/Xm8bK9HxNiVWCiwc+4iWye4k7nPzMxge3u7jnDf2dmp78GydEOZ9fX1enXQ7u4u5ubmalKkq4o0l0DOSnGRMgT3KwrugwpfOPUdqWmJ/nGubd/Y2KgPXdfOF8ID6bhz0szMTO27jwa8Xqsgk8vk5YDigJpTHCIGTmlidF5OSUGImGpp4oqkib0ruPtuWrpEiqxcgZ+5252tUglQFhMtb/TlRUB/fnUHAv/r7a7XReDpvmhVXnRCLilwQJwjXttZYwX0GpajQXc5X3wTsy/1qwuDunRZm8ZE5J6zZPXIMci247OknEXXKWuvqqovU5yybvahu5f8ffKVAlo+24iKrFuhWL5Guuv6dA+s4/kMrCOx2d7ert1ITA7Eg2Dv6Zh93rlsoP96ktcVuLtJiSYn+scZWLKxsVGzduaQV7bFw8Fd89JzUHsAnpuHFeBVKcix7cgsHWn/JTNjjoVELCiSSMnQ7yL2q+W31ZAd3HWHLV3eBjwxuxPcvc3Zrs56ctHLKaVj7MuVGX2WNqCh7R4Brk7qymhzilckbUDex41bk6I+9CC36NnbgLu3A5/dM7oR3N3ScFJA9nOa2HikJDS1OetK5VEj1NX6wujySHmLFDx9dgV23fgoAncH+KmpqdpCycBS7XPOf2tra3Wa7cPDwxrcHeDpgnQr32VhwJelHhclrxtwp0negZ3gXlVV7XdS1s6kNao9qyWAWe64F7LnHY9Yo+9YpVnPgDiQSkFF//o9nOU0DfConhFbB/qD53KWBJ0Iz0KD1/KVwdOawr4huOuEyb739K46+fp6YwUTB/aIyUZAWXrmiPGzbSPW7kyIfyPg9/tQoujzqB7aZg6+Ck4O4g76OfHr9H56T20D7Te/Lipbx/wgCsYg3+VE68qlkz5v8PA9BHgvf4d8FQCDDpWY6NjXNjw8PKwBWXN5qDWB5VZVz4zP5F1ra2vY2NjA7u5urUQ4uNOlOTY21rdJzWWQtmPSr7lOcm3A3VkRRU3o7i/Sl0P97RsbG7WvncvfInBnekb68DWftd4/Mql51LbXPZqMo4nfn10noibGwd8i8NAy9D4e4BalB3WmOYi4QqLP7mk9NcEM+8WZvKd01e9pmtfNNeizJEti33Dy87bVOucUmhx79HZV1u5ulxyYt2XLzqpK40dBl98BxzcwyikJOXHFT8EryuTIKP5BFdaoLicZh23L9uto9clZRkZGRuoESRzP3p7eVurL190Oo+VwAPoIhILy+Pg4dnZ2sLe3V9+D8x/nwM3NTayvr9d+d85XPodyHnVychlkCO5XHNyjyUmF3ym4685vCsTM5kRg39raOmaSB54wQUaQMoUtWTtB2+uhoOL+dT5DbqKMzHU+AXib+PeR+MQZleWWAwd2Zx8++Ub3KNUnB2B6ROlhNfiq0+lgb2+vbwLUWAb24eHhYV8GO00ipH8dbIB+v3UEQP7MEQgrY3OzfNSGUdm5SSwHbnp9xBo1yM8D/tr433MS1cddVPo+sC1UPCrbn03vE9WpqV9Kc0jpmaI+UIuRB88yC2an06nXiTtDV2sL//c0u0oM9N3hO6LX0KzOzHKRAgE8WfPOlULb29u1b52uAN+gR03zl0WG4H6FwT0C9gjsaCKbmJjoA3bdDhLoLYHTNaGe+EEnBioLXFanEff+wrE+HhWvoJEzeep3EXP3Zx3EfMi/OeDVe5aA3aPWFRAiNtimTqU20Ho5uGvktysAucAkt6DwGSMzsU6iznY1CjqnIEXP1HSO9pEf2l5tWXRJSeCzaj86y46sCaX7RffPxZ64lcTHnwebet29XaPnLv0fjdecIhC1gZ/v7jmCrT6zxpCoj16DRTleo4BDHacK7jrX+MY6JB9RvZXkMHkXVwFpOb61rrq+LgNIDsH9CoM7kA8Q0olXwd1N8lzG0e12a3Ana1dwV+BSMz+DVTywRQOB9K+b4CPzOp8jYq8eZKPP3MQiXdoAuwKpmox5qFmcbR3VI3oWr0sbcSVHTZoEHvan78IV+XAd2L2/vN29nq70aT2jSa5kbcmBRA7QHdyiw+sSjRU15eaYqAK7Bmz5uaXJ0ZWEKKhUI7d9vEc5DHKgHrFob3OvV/TZpUlB8zIA9M0FOubop44APoq50DZzU7zOJ2w/V6CUeWuCLVfk1DTPHB/7+/v1s5AYKYP3La2vq6SUfhrAT9vXX6yq6q/LOT8D4AcBLAL4LID3VVX1Jfl9AsCHAbwbwASAFwH8cFVV9+ScJQC/BOC7AHQB/DaAD1RVtTlIfa80uLvoBAb0R5iWwJ0DmsxdA+kcSNUsz8HtwO4vnr7wCobOwrXO/qIoi6G4KS9iXC4l0HdAz7F1ZRm5SS3HeKLJ0PuuCayi+vF6tyro+ngGTkYgo/2m5uAouCtSTqL68fsIvEtsk4Cr9dSxpPfVe/A7VwJVMfF3xPtAnzsCPo1LoJuiCdT5TM5APZg06nPvJ1cEvP18PPIcX1aXU5r0b9Q/JYD3+2sb6P3VXL63t3dsBYiv4PBxEAF71NY5hYpjXYPqtN9pmt/c3Kx3wqSCpUvwPChZ73sZWPA51eEvADwHgI1WJ9ZPKf0EgB8F8B4AXwHwswBeTCm9uaqqvaPTngfwTgDfA2ANwEfQA+/vkHv8OoDlo/uMA/gogF8B8P2DVPRagTtwnLWrv101TYI7AUHN8gw4cdOYat86wD2wJVqrzro5KLmJ3SdzfzZKBOrRZOWTTW4CU1CqjsyikQne96TWOufuBRwPxqJ4naM6OXD6ZKog5lYGr6+7DRRs3J3i/aS/uTLi9fM6tmG33h5tgSj67PeL2LgeyvCjOmof869fV3oWZ67RKpHo3dB+4k5mXJ5Vqm8UqBcBntZV/6o09Z+3a/Qe6Gdn0wT3HHuPysoBqbaZPotbSwju/jwEd1oxNzY26uA7WkHd/67MPVI2LkJy46LpmhZyUFXV/cxvHwDwoaqqfg8AUkrvAfAagO8G8EJKaR7AewF8b1VVf3h0zg8A+EJK6a1VVb2cUnozgHcA+Jaqqj5/dM77AXwypfTjVVW92vZ5rh24U1RDVnDXjE4MLKGfidsj7u7u1pGsEfCqeSqKWHVgzzHhnHbuAO8vqWvxeh3rqu2Q+46iwP7/s/eusbVtaZXYmPY5tvf22z7P+0BFRERT6qgbQRXwg450K+pOof5Bi6ibEIS6EYpCQwkRdURaIlIFUCciCioB9QMRJIgSiEpFI9KNQiVFJYQAqUsIaRSoolPqqgAp3XvuPcdv+9jH3is/7LE89vCYa2+fe+71ozylpW3vvR5zfnPOb3zj+745Vw3UUwxb3Xo1EALyEjpXsg40XcxW21EDY8+qf/bs2ZmkLV7rHheN9/JeXbFelZ/XVc9NQFsD59TGLqDv6tNaTkcXSPi49PGvbejyPiVg9zAI71XL5QCOxz3j0b5pi+d86CZRNWBP8krfpf4dVZIB6PJW44NJnQruuszTDUaf797PLhcWN67oeeN1NNoODw+xv7/f5h/xrXKqTxXkVQ8mg/EiyrsI7v96KeX/A/AUwO8D+MdN0/xFKeWrATwA8Ftyv81SymcBfAuATwD4Rhxjrp7zZ6WUPz8553UA3wxgjcB+Uj4NoAHwTQB+fdz2XDtw14nLweiZnZqtroP56dOn2N/fb1+w4ECUEoHcpVsDnASWyeXvwJ0MhvR9YiEul1QU1Mc9dOmOuzu7DBvfmEXrrfWvAbnKiQpcDTBvi2+Mopuj+HhxGbLvqXRV7kmm2k6vq7dLlbCPly73ezLUtKjC1zY6QChIeB8mb0mqj97fSxqjKWxFWXTND60r/yeI+CoHAiUZpdelZpx5272/2Lc19l7rKzWY3BCjXJnESZ3ioSSdMynXBjjdXTGRiOQB8dwfl8FgMJyDxD3pPU8i7ZLHsI3L8L0u7xK4/+8A/j6APwPwEMBHAfyvpZS/imNgb3DM1LW8efIbcOxqP2iaZrPjnAcAHumPTdMclVKeyDljlSsN7qMmWWLuunnM5ORkqyD29/fbw7eM1HvrfX1JW4oDKotMbje9pxsQ/uxRoJ9Kl+XM+nnyWVKyroDdHZvaAGCo/SkDmH+7Mkzs1o0rvZ8CJp+n64n5TnZep6Dr/cv7qQKmIeH1ZXHW7p4Uv6+DZzo/gXlXXye5aj8ngK+Nny5Fl2Snrnp3iddCVe5l8fHlzNPzVTR8xvk4OzuLiYmJ+BrZFOpK7XVwUnB1gE99lsaHehD0fP5GUOR89DmTmLjXq+Yd9LFcW5fu4P706dOhJcGsp4J6Yu6Xobwb4N40zafk3/+7lPI6gP8XwN8F8Pnz1vHdLlca3IGzySw6edSSV1eSv0mJO545uKsCrB0ep2XR2LW6htVwSF6BBJbOLhOwj1L4LjN3XbOO6pZXpaFuU3dPev2UBTGGl7aFVWarjD7d092tzmS0Xip33bY2GWLeRr1WE460rx0kNObP5/vYcKPPFYkD73mUpAMNcAom7kL353toxY0rBWztFx2DbojVvE0KHm4w1jLFvd4cT3QbP3v2DE3TtBtKAcMbuKRcCu33JEsHdD/c6PTxnOaux8ITEUljPs3HVDcnEGoseXjDQxbenqZphmRMI4rXOHtXWY+jjy5Def311/EHf/AHQ99NTEzg277t2/Daa6+NdY+maTZKKf8SwNcA+F9wnGR3H8Ps/T4AutjfADBVSlkw9n7/5Deec0+fU0qZBLAi54xVriy4p4nvwODZnb4zHBUTE+p4JJbpLll3iSfl7YldmjTjrN2NBXf/1sB+nInkSox1Yl3SUhxnKKpYCAgqb22DPsc9Fi6v1I9aasCe3JTO5NnGlDSnLkRnR5SJ7lyniUiuFLW/vR3elwm0/Pv0exfjVFDW8wnsDsI1EPe6qwHK+/DeavD4c7tc4GokdgG71s1lxOWq29vbrYdmYmICs7OzQ8muasSn8EitD9Tg0/ppqA44a/Trs9QoUln49yq3mgE/GJyuTnAjw+dyit2rl1A9X+6BUYOX3sy9vb02D6nX651ZtaA75qWkuossXUz8Ax/4AD7wgQ8MfTc9PY1XX3117PuXUuZwDOy/1DTNF0spb+A4w/2PT35fwHGc/OMnl/whjrPrPwTg107O+VoAX4Xj+D1OPpdKKV/fnMbdmZ3/2bErhysK7mnCJ7CgC8lfjehrZanMHeSUWQPZzenPTAo/xX6dxbrVO4oJdIF6YnJab080I5D5dq6qkGolGTjabsqVSqZr2ZMzVjd6uJStppwBDAE1X9ChxgEVGseBJwqyznRFKltJu4IBw+5l1knXErMOtTp7HyUDyo1XL7WxwLYnObu8vR5eX4IMn1dzdydD18EygU8yKrW/OUa5wQp3eWPYbW5urn0Dmm+sMq7MtS/V26ZGOeXmy/qOjo7O5Bb4XBoH5Nlv/F/HgueYuIfKwxsuVzVUfb8ArQdd82TuXA7H63yPAjV+LwO4JwN5nGu6SinlvwDwz3Dsin8ZwH8K4BmA/+7klI8B+NFSyhdwvBTuxwH8JU6S4JrjBLtfAPBTpZQ1AFsAfhrA7zZN8/rJOZ8vpXwKwM+XUr4fx0vhfgbArzTnyJQHrii4A92dpwDpriPP1FV2qeCe3OYOXonlJkXh7kcFd04uXwfrbs2aDJyFJVnwNwd2tlfbnViJ3kflmzwK2n5VjO7OrLGypNQJULW4sRf1mChzVdcwx4L3v+53QFlxHBEwvM81TurKnIq51jY3dLQf/V56fjLcvM/5twJ8usbv7aU2rggUHmvtYsA1l3ECdmDYY6TLVff399t+nJ2dPfPaZX3PeK1Nab4qqNMwZahOt6IupQwBnIb9eE/K3PtP5w3HpxtuNcOeMlEjtitPxueJGsrsN45RfT7loCuINHExJdfVQpQXUd4NcAfwCo7XoK8CeAvA/wbgm5umeXxy/U+WUvo4XpO+BOB3AHy4OV3jDgA/DOAIwCdxvInNbwL4AXvOd+F4E5tP43gTm0/ieJnducqVBXcWZ3z6qS4kDj61MAFEC13jt7yPgpeDdIqFOcC7kiO4q7Xr7jg/0qRJoODK2p+tbdVQBJmuKyIW1lH/dnapz1JvSA3MXG7aDgcsZfFuGOjfLn9nTARjGlTqgtTNO46OjtodvTQrmAeAIeWqngLte/eAuOJR+fGe3gfK/BOwO7g6SKTCeiSv0Kii9VJwd/mrR8SBPYF6Mvp0PO3t7bXjaWZmBouLi7h79y5WV1extLSE2dnZuNd5Mpx8jnpyLZfHEtw1nKbeHH3DYDKgap4W9yglQ86NE5Ur0P02wdRXHuaqGT80znUFEXWWrxZyT8BlKO8GuDdN8++OcY+P4jiLvvb7PoCPnBy1c9Zxzg1rUrny4M6SFBpjtJ5co4PQ48Ip3q5A1jSnbnwqAd/UBcAZ0E+TkOd6TNgnfGqrXl+bzAqWDu66cQYNGtbfDRqtpz4j1a/G0pSFM45NEPT+qzEqj7FrP/M8zWqnIZbqR1kDaJOH9FWXe3t7bZ1T8tDU1NQZ2Wr/dxkuztx5jceFOd7UdTqO0nJ277LSZ/B3vy55ahSAeC/PQVDw0TnFQ/uyBuYJgNU1TmNrYWEBKysruHPnDhYXF9Hv94cYew3c09iikc+QjMaayVrVs0Xmrl6+msHJUnOR69xPHjtn+Sk0lPoqgbkTnKRDVM+pkcP2K3vX+10m5n5Trji460T1AcWJkxLp1GLtSnYDhhkjAfPo6Kgd9Hwt7OHhIW7fvn0mOSsBvLpv3U1WmySu9DjZa2DhjNoTmLS96oFQAHAAT0w61THFVVWhKcArk/c+TUZRaquCu7vfU7IcN7TRnIu9vb0W3Hd2dnBwcNDeR2OLZPCsP4Ah2arR6EYc25fGl3qKEnNj22rgrqCshkGNwavcUx/6OEqg7uulVcZp1zVn6wncvR7u7SJj7/f7WF1dbY9+v4+ZmZkhY8PHrN7T761ApttQe86Ijj1tU9f8o95QLwbnghuOzCtJ3jr1Wunv7t3rAnYnD2o4+vhTPUdw53j22L0aJ5cB4N8N5n7VypUGdyC78hJzT6wYOGXuzjB5Hwf3pmna7RmZ2LOzs4N+v4+JiYl2K8YEUK5M3eodtXRKAcCVoyoXVwwO7hqT1sMVvTM2ftclG8o0hSoADHkHWDdlJkkBJ0BQBuhKV+WW2JmyFnU/0h2vm3Y4Y/UXcOhzfDx622vjl8DtIQQ9x5+jfaD/e9/UAF77KxlvvE7rpIaohrZYL/UKjXoZSlK+ycBTY5jzeH5+HgsLC1heXm4Z+6jXjvpYqrF238xKDX7XD24IdYXSqDd48D5qMJIguK7yQoOWhgG9GckjwvbVwD0VJTH0ZHA5HMeDu+ZHeRsvolw3sD5vuZLg7sqhBsiezakDW9mGMgMHCp+swDFAEQw2NjZaBUNlevv27bZeKRvYLV+3er2trCfrlOSgdaZCSCzS6+OKN1ny2vbEJFRJJAXKg7LTcxU8kpcjgWUynBKAqEJWuWt9qdiVtfmqAS3cN6Hf77eyTuMw1TMpvRrrc5kS/JXl6zX+vxoLWpLHReuixeeCMnY16ChnBci0p0MXsOvzk2E0OXm65fPS0hIWFxfbeTc9PV31MPF/HRsO7G6UeB5KzZBkHSkTXXapwKzMXT0BAFrXvhrZnpinc0/HsCa01Ywogn7Sgcktr+NiMBgMGTzsT/c2JuZ+0aU2xkZdc53KlQR3IDN2FnVHqSVci7m7G7kGburGOjg4wPb2NtbX1zE/P9/uiMUkLA5yd3uzfs7a3Yp2QEign4C9C0BqwFvLWlYZULn7M5TV+nO6GKyCAkuqX2pnuq8q6lHLgfR5vEbdyFoPzUeg4p2ZmcH8/Hz0ttT6aZTCU+ONY8EBnjJ2l6/3E59bM8q63KZuHCRmqtcrw1PG7qtOUv95qfUvPWK9Xg+zs7NYXFzE/Pz8mRh77X7J0EwA78vJ3OPi84PzXdfaO7ir4erhMABn5p6OV80N0VCiGhQMBfoafHWt11i2G2na/6wHDV+GKAaDQdXNn5IDL6rcgPsVBveuklyIGmPymKwDcE2p8R5UCHzv8dbWVsvcnz17hpmZmfZc9ww0TTPkUkvJMaOYHj9dabKO6pLVc/06ZzNdwEy5qteDz+zyJrjS4v9krBWxAAAgAElEQVSUoxsFSfkmcKi1xVcDeLzX26p942DE6wC0yUS6HSf3L/fY5XmVmstYi7rW05EUksqU16bQip6vz+Nnl4egaZpWbs56lfHyHqnv9FPvq5+cvwR2LncjsKcEQZerj6WacdtlCKb7sijA+54JGv5JYbDkCagZ4ymXgAx+amoqzj0+K7nO0xjS7xXcOeapl2qx/BvmfnnKlQX3LgBycPcEEo8VOstLg12v5WTT2Huv10PTNNjf38fMzEwbe+dzCGTuUktZqwnYuxQAi7rju8DQv6u5LF3RsU7qih4H2J0leTySz+jKB6jV35/rS6+UedfYkXsQUt3Z5l6v166QcEWnxZly+q2rX7zUwD1d4wZTYt0K9DQA+H/yHKhsVHa6pNIZewLJUW1Vg6SU0jL2ubk5zM3NtV4yxtiTPP1eaTzXAL7muXJjR+eesn8FeLrcOR/dk6SGpM8j4HReJFBWcCeDr4E765V0oBd/hq4MUre8Ep7LmFB3U64wuKeigKMAmli7Mvea+1YVobvm/Xwqut3dXRwcHJwZ6Gph05WYLN1kcSYjxv9nfVVxpAmc2Jsqu1LKkJLSkIH+nQDKAdldnr6USJ+tDNr/1lBJF1MFMNSX3rcJ1JMckxej5m5VcHcGnJSo1jX1K5+vfaN9ps9MhefzHj5ulcU7e3MW5/WkzLyf1IhyYK8ZY3pflw/lOTU1hX6/j36/j7m5uTa+rkbzqDqzvglQvY9dxl3eEjXAE2grc68Z2WogHB4exuc0TdNunJSAU/uZIKt1cVDXeZf0hxuNDLno2zKbpmn12Q1zv7zlWoB7GqRuUY5i7joxtTiwT05ODjE9PX8wOE1A8brQtajg2OUeS0qqBu7qRnPAcAaZmJ/ejx4GjSF2uXGdJTg4U/mT2bmrVsFCAUI/ve1eF1d2Kq8u16v3tbbJjTyyI93WlCXFtRNLrj3DFW1i/TUwTvfVvx3ck5GbxoL2rYc8Ul5DyttIoJaeoW2lrKenp1vGTjc83+rY5bVQ2XZ55Wpyrxk/+rteDyCOMfc6aV0TgNb0gc4tN860qFGU9F3KlagBvIct6ZrXV2EDiM+6TKz9uoH1ecu1AHcWBTod6Dopkgs8WfXAWYWaBnAppWXk09PTaJpmyD2pVi7/npmZ6YzrqUVfAwFVUqxbmqwsWv/a5Fdm1gVMSUkoW3FXrVr+vrTImX0t/llrW1K4fq73ca2fE6NkboQCTa/XawHeDQCtV61v3fhIoMfvu1h76p9k3Gmf12RXq1vqV42p1wB8XED3Prh161a7GmF2draVty497CpujCSvEZ9XA3Y14t2A5rnjyEzBvWs8AKjOO36OY5DxXl1GgM5VzjGViT5XjW9n7klerl8vEuhrenDUNdepXHlwT5Z/igm5BctrzwvsydVKFyLBnRYvgDYrli46MvjESJ2NJLAaBeAuG2eBbt3TjUdmwInfBRzafldmaV9urhvmWlnfuczZlT6rJgfv/67fE5AmFuVyY3/NzMxgdnYW8/PzmJubaxMmFdxV/rX7eV1r7CmBuv5Nl7CzPR3P/FvdwokVqoycgaZ+9WxynyejQKzL8NRlhrOzs62sCew+d1NxY4TjTUE2ySHNcc6HGouvAbuDuz4rPV+f4SyebR0F7sDpS5OSkeqg7sZzrR+bphnyvClzH+UNushyA+5XHNxrisJBTP9W5pPYXLpfGsB8PiceQcABRBnE/v4+Jicn0ev1WqXl7l9vX23A6blpYtWMAJ5LRupWvNbZr03g7nFYBXZufqGHroFOywRV5onBKNMZxci1D7rGistUxw/jvkzm4otJyIJVMXu/dAFQF7j7fRzcdYyzTx1svM0EKvfw0BBVD0pyL6tLXtevO2tz5jZOIbBz5znG13u93tALSSjTdF9tO8GIY471TXpBja5xAd6vY5/6oeCuSahJNhz//gxvXxcr7poPCu7ezw7uruMYd/fljT4mUxjvogDzBtyvOLhrSQw1WZRJESYXMO/DiZkmvSpG4DQG5QqbFnnTnL7Ziol1WleWLlauDMDbm4CdiskVPVk72633IbCzfXQXsm6sq7ZfmZ1uWalvlfLNTXxfAa2XKmA+y93ErtC9/9QQ0P9rCpJ/U0ER3GdmZlqDTMFG5av9p/LWzxoAp/GSAMyNj5pHIB2sJ+XN6weD4bf3uUdJjVONvfJ87TN/f7qGD7xdeg43p2HyHLeSdWBPxY09Ajv3huemRPRM+Xpv3ltBzvWGyqpmRKv8E7jrM7w/9R6sp17XNE0bJqgZkry/g3dKfPTsdx+rXjc12j0p1vXqZWHuN+WagLsPpORiShapTsTE+gDEia4GgrsoldHpJGAyGTPqmaClYNbVPrWuvd011ujKQNtEhcFcAJeRGjwK7lRwfIYmzPHY29trQV23ruTOXCmpjc+ma1Y3H+Jzee3BwUH7XSllqJ7at/xbP2uy03FDGRCw6GXRZDo1fpRBa0leBNa7xq5UFn4vra8yZsrAvQHefspaDT7Kk4eCHK9TA077l4mjTICjjBzkvT2sO8+bmZlpQx+Mr/O3NH5dpmqk66Yru7u72N3dbeeeGyEK8MqMXWfUmHvNiHP2PgrodFxw7iXW3uUV0ed6yCsBu4O7j0H99LyYpCMvG7DfMPdrAu5afBImcPaNL9LgBs4OWvcCDAaDIWV3dHS6zSPXnbJOZMRUQAR4nkOFltxxXe30wsmoyrw22WiMJNaoLI5GiTIXZXWqMGpueHW9q4dD43dkyJ5A5QqGslf2rgoyAXptsjub1O8dQHl/Kl8qXJWLehtq9RkVSqiBmfaRgpHWQw0mllp8nPfsMm61nzWfgsYbn0UjiAf7T0GaYOov4eH53B9C963vKmrMKLD7GKRXZ3JycijkoEs9dUy7/GpEQT1CamSosVFz4afzU/uAvKwygb8awJ774i/E0U1pHNS9XSnpNQH6ZQF24AbcgWsI7sCwm7o2CIFu9t7F/mntK7hze0ZlBX4vPnMwGGB/f39ISdMVqYlDXcxc2TyLsq6kLGr3VJD3ye6ucBZ315EtKaj7Zi8Kfsoc+b0mUlGO+nyN+TGHQdudDDRVWrXJqyDpclHZaoiCddc171T4ulQuJU4m5e79lEBWC8GKfa2uY21TKgksUrw0ydXrqwag1p8HZUFQ11fmkumT9Svjd/Bymfjc9Re/qMeIRqB6jdLGLt6m1C8+LkYBO0N2biD64Uvm9Ej9paUL3CmP3d1d7OzsYHt7e2iXRXXLaz862GsYLYUnkm656HLdwPq85dqBexdrT2UUc9EBy5gdFcPR0fAWtLu7u0PMgwpNnwWgBant7e12AuomHcp20iTSeGuq6yjZJANHf/d7cWInhZTepuVrYikLMjW2jdcTBLgLWb/fb89RpsD70FvgiVZdAF7zhiTAcGWpbJUgoX2s/USPDb1DynZS6Rpz6VwWDY0kdujX6HPUPU1w881PCJieE8FtTnmN7pPuxoHOGYI4gZ1HAvTkyUh95mDm4zC9K4CHJtq6jqgZ/LU+0fMU2CkXPs+v0Xg45cyx5fV0g9/rwGt9zO7t7bWgvrm52b7FUpm73iO1tWmaoYRKNXy8vy8TsN8w92taxmHt405gZ+x0L3Ji7u7uYnNzE5ubm63CTBNFn68ZyGT+6tLk9rWuhGqZybV6p+/0UCBT15uvT9d4uV+jDIFKVRk71y6ru50KQxkeGRxfwqNsUD0xBwcHVdetM3AFwZoCSwaChxz4vKOjoxiz5UH5cAyQPerGRqn/xv1kSexJi7dFxzmNTh1rBG4FB+8j3VmR/emrHXSzHzUeHJxS/WgA8Xudw6ltOmY1NOT73KtHi4axGoxev5q3osbQdawlPZMS5NwjpuvHCeo0uHyMeUn3ozHK11JvbGycAXd9pt7D50UyRHxPh8sC6iw34H6NwR3IS4d0IHLQJoBXpaqeAAIRWcvR0RF2d3exsbGB9fX1oe1lOVFrbjgFzK2traG4pcYseWjynScsaZvT3y4XB8bkzvN3W7uiJJjpOtgE7PpGL7aLXg8qPd2al8xFFakydwfV1Of+N3AaSvCi7k89TzOvqQA9aYxKTuUBoM1upjLd3d1t5Zbe0JWM0FEHFbGDCT9VKetBAKbsdYwpYPFTAZBGmANzciOzjW5E8r4OpOx3NQjUUNN5632k4K4JY7ouW0Eshe2cvetnAnjKk+d58iANKf0uGdSak0K5qyxUXio3H78O7Eo6FNx3d3fbuefjPoG7G1KjvJw35XKUawvuoxQjS2I2LEkB6L2B40m/v7/fTiSCFxUUJ4Va6A6E6kYjmCg7VCBIr6/1djnAe70Tu3BFqaBOYKcsWDcChC5tUw+HLyXr9/utR4JKgpnv6plQ2Tq4q2Hh/eO/q3yA03e3d7EUV940dKgAValTDknOExPHbwhcW1vD+vo6Njc3h9it96saas4m9Rzfr6HGhtUz5PsK8J5zc3NYXFzE6uoqFhYWMDc3d4bN8hluTLkrWI0x/q6xbo4tHTs8Dg8PMTU1NZSQ2uWO5vPUw8RksZ2dndaY4jxjn/gY8/t3MVAPRamXgLoitaMWL1eW7eCuhpF76lRvpf7W5DmGCwnu6+vr2N7eboFdx39XcR3pevIylhvmfk3B/TzAXmMfvM+oeD2V2NOnT7Gzs4NerzfE3lUpqFvLLWA9NKashyp3P2qKaRxZuDvPXexUBFymRs8C3bL0QFBRAacbk5C181CvBtdJU86ema4y0TontpWAnSBCpajAru7IWr+qTLrc+y53nru/v4/19XU8fvwYT548GUqucgPNlbj+r4CobfJ+d9esrktXg5Lymp+fbz0KAFrvSc2Y1b5xQHdPi88hZfOaVEcwHAwGZ15bytCGs1Wer6EjAjs9JTs7O0NGKWXseyj4eOqa6xqqUU8BjU8Na/nrnB2Y1VBI4K4GYA3cFWy1v9XQ2draag8m0xHc2T+pJAKQgP2yAuINuF9TcAdyZqsqKRZX1F1FJ2Vy0yk4MqaXDAjgNPmICXcOWDVWQdDRZ9bciW6ZJ3BXg8IVl2/bSWXDNcn9fh/Pnj1rQxTcgY9FlzupK1uVLc+vxSsdJFTZ1/pVlaO+81sBO3k5/H7AMEt0I8vjobw/xwcVLcFGwxWJIacxoEvHFBCV1fHZnkzlb/PSxL5SSrssSr0vc3Nz7c6JGk/XseteAW2zz6PUFrYjhXnSGPCx6obo7u5uG1vWuDINGvZbVy5A8hCkue9hK4J7KWXIk1DzqmkbVI4qX58fCdw9xOdeDK4W2N7exvb29pA3w1ew1ErXfLwqAP+VXK40uCclr98nZZGYuzIOv7cqFo07qWIiI9GlSZw8vJcCmRZnrKoM3RBhnUfVUYFd26Us0y1yKnjNiqVyV2DVOmtiXFKUypYcjFRhuXJPbU19fJ4y7kQfpdydoTJ+y3OSW99ftsLneF/7Qfk9e/asdV9rSIDyZHHQc9bu7JAGGzd72d3dbZki69/lWfKM9C5wZ1s0KVPbeHh4OJQlTrnqPOK903p7XepFMONSTD5fl985e086wsejgqnWX0MRagB4vVU+ShJUziozN/q6wN2NOnredMMhz3ZP+lLbn7xSaZ5exnLD3K84uLPU2Bc/a8DuMSR3szojTq60UkrrrtZdzNSlpso0fSZXbC1WV3MFA3nC15SuAr5n8joTq8nMn+OTo2ZkJaOr1o/a5trkU4WpbeP9yVaViXZNZAfe1BZ9jv/tsnKlrX+nz1FGqrJY70c9lF3rUsZkSALD+QTJ4FXWTCBJy814rj5DDV66sLsYv8uS9auFkHS7WQc0faa7zZNBqfUmgGufTExMtAYCVxi4AeShOJX/qPHsz0/zQvuHMvT+diPdx/44c2Aco+emXM5yLcC9VmqKksUVsDNcV+TKbul2v337Nubn57G4uNi+Nazf7w9lU9dcdKxXAvSuhCIFC/3U9nQpTldECghke9wPnvF0KuajoyM8ffoUExMTreLSN74xiQrA0Dk8WN8Um03GAUvNjajKVMMQ+j2v8VyHccaOxz9TzFbP57k0+vgylOSSHxX75W+666HHYX18pqWJytoYSpiamsLKygpWV1dx7949rKysYGlpCdPT0y2T1ixtDZ9o/d1wUNDxtqhbnoawrzxwtqpjw/s6gar2hQO0yzzFsFlvN75TwmeaSzr/1MNQSjkzN3R8JS9CjZRwPug85/NYP46H5DXj76MA2vWUysXnoH5ehnLD3L8CwJ2fNdaVXGap8He1wvme74WFBSwtLWFxcRFzc3Nt4pgvX0vuW62rg7oDvLaFRZkg65nyAmoKyZUE2dDMzEzLiAjavD/jjMoQ9DwFYlXoml/grNY/VZFoXenGryl77S8aYPqdukFHFY/du1fGDTaN6x4eHra5CUwcZLu6DIXk0fHzaoyzxmod4Gl03Lt3D/fu3cP9+/extLSE2dnZ9j5c/se6NM3pkqnBYDC0WsINSfdWKLiz3eoid4B3w0mLzxmfOypbNaZo0PDw+UhDRo1BzRPo6nedUxxjvkPc5OTkUGJmmhtqtGn7vP3JM6DP07alFRNd+kBl6waT6yLtj8sGjDfgfs3Bvas4KLhC8qKTlqDR6/WwvLzcMqDFxcX2laDORhK7Tkow/c2iytb/dwZHANVr+dkFjhpe4N/+UhHe2xO1aspdGQOZoXpBeI7eQwFB5Zbcxd6vatDQJa+/14oDNUGIS/nSGnfNhp6cnDwTniHIP3369AzIJe+MH+5CT+foGKV81HWuyxmPjo7aNq2urmJlZQUrKyvtKg/1bLjRpOOJRoe23UHCPRQKvprcpuDmu9VpoZHB+3C8qkeGdVTvA+uqz1MGq2CpzF0z+2sMOAG8evk4HtLSOd2GV8eU96vOX50L6o7XZXBcubOzszPE5LsM2+RFc09G0mW146LLDbhfcXBPVvw413S599L9+BuVRdMcb7gxOzvbgvvy8jLm5+fbLWTTRFXF63VJ9eP/qW2q8Hn4BE0g0SUHttEVsb/LOcVX9ZkAWkPIZcpkMHoJCO50W5JZAqfMyftnXHA/zwR3b4gCApfxqdHmS5R4PpcJAmjXwPd6vaHERFeUNa9Ml5KvxWMdrChTjYsT3BcWFjA/P9++08AZYcqUdxlrfD7JL4UU0v+UZ5KLPtPbmrw27DeOV2fgmtjq45/nu9emFjZQz5DWk+PcjYOpqalWRvrSHN+G18eBfvq89XDM3t5eO159EyFPkuT99NPlreCuYQmtx2UCdpZ3sy6llP8YwD8B8LGmaf5D+f7HAHwfgCUAvwvg+5um+YL8Pg3gpwD8PQDTAD4F4B82TfNIzlkG8LMA/jaAAYBfBfBDTdPsnKeOVxrcgbMd+KJAPjFtZQJ0x6+urmJ5ebl1a/LNVlQESRGqZayKicyO7ETr6pM+sRtXCA4+ydBgveiS5PNVHpo4pLKgQnEGpNcT4Hkw85t/c4MY/s/7OmPV+jjDTyB3nlJjzLquv9/vt+GWtERJmT4VOM/t9XpjG6JaB1e2LLU+1fN0zOkY03YRVDTUosshPRFL75XAv5TT1+QqWOkSPl3WlzwYo1y/NfBTbwv7LIWI1O3t41XnvoKZhws8ZKb1dAPBjUYafJq97xtf+ZjuMuJcPzEHZnd3d2i88nrvywTs3hb2K48ac08k6aLK89TjHETgAwD+fQD/wr7/EQA/COB7AHwJwE8A+FQp5euapjk4Oe1jAD4M4DsAbAL4OI7B+1vlVr8M4D6ADwGYAvCLAH4OwHefpz1XHty7Ss2aTIy1ZsVSQSr7mZ6extzcHJaWlrC8vNy64/XFL8pgefh3ypCA00Qz3/XMJ7kqEBoBOuFY3J3mMX8A7bOTkQOcggHrxPqrKzCxWDJxtpPuSC55olwZj6a7mIpIl2S5rHT9vcspgUIqzoa6AIPA5O7TBO7qsSFQ0Jhx4E1js+Zh8Xp5Hoe3V5/l7lUFXvZlkrPOE3Xxa3KeGg0Ebf6fEjp1TCrIdxksLjMfa54sx/v6Pg1pfCQd4PPGAb6WlKcy1PnIEIKSBoZw0r4F4wB8AlbqKTWgVGdwHmoMXomFG5YqD/dg6DmJvV8WkH/RpZQyB+C/wTE7/0/s5x8C8ONN0/zzk3O/B8CbAL4dwCdKKQsAvhfAdzZN89sn5/wDAJ8rpXywaZrXSylfB+BvAfiGpmn+6OScjwD4jVLKP2qa5o1x63rtwV3ddf5bF/griGrmaykFU1NTbRLd0tIS5ufnh2LtGid20PWJqFnkZLAszlz5HT+TK17bptcrEGjsTeujdfL4oyodKgpm1yubVQXFdcYaE9WkIj53YmJiKOkMQKvwnJXoEh8aTAqICqpdxRWnfucMXmPEZFluNCWF7/Vw4ymFF2qs1evtG/To/b04aPGgXH39s4IecLptry41U+BUb4AyaF+ap8YAz3P2ngw1N4roYeJnOhhO0gx1Le758eJ96iGEmhdAjeVkhLDtKZ7ftWJA+971lhoVHvrgfdiHjP3v7e2dGX8141gNJt3xsWawprH3Xpd3kbl/HMA/a5rmM6WUFtxLKV8N4AGA35L7bZZSPgvgWwB8AsA34hhz9Zw/K6X8+ck5rwP4ZgBrBPaT8mkADYBvAvDr47bnWoC7MxYfaImZ18713whMBDvNkOfSNyZbKQtJlrUrTwVTBSWP47Ek1sHvyeT13C5G67E6dYnzoIJyBazgrs9y9nTr1q0zm5wAw+8AJ8vR0MDh4WHrwmV9VVa6KYsCVwJ2V9yJCSXl7gaPs1+Vhytkf5aDq3tydOzV+l5/V7BRQ1L71w0UfT6fq+NOgUnrnzwyfL4bPurdUMODwOJy1fGrdRzlidH5lAwrBdODg4OhuaKGrz7fx1Eay54roGNOPSBdoQPtg2RIJiO5ZvC4buFYVUOJsp+bm8Pu7i76/X4bOlQPTc2gohGmYRUaVixqtLrn76LKuwHupZTvBPDXcQzSXh7gGIDftO/fPPkNOHa1HzRNs9lxzgMAj/THpmmOSilP5JyxyrUAd6AeM0rn1NxHriCVNXIw37p1C71eD/Pz8y1j11eZJqBIz3PGnCYtyzhMRlksS3J1JmB3Vx0Vr17vbmBmI3v93E2tblxl8c4O9VPBnfdNxkgNIBQ4VYb+d421JY+NArwDiiYaJeXo9/Vne1+n4vJlfzDE4ePGwSIBDo0mZfJaaMi5u1vb4dsLp61d2afa586c1XBIRkmtjwg0CRj56d4SNyy13aOA3cMyAIaMlS6DUb9PwO59Oypc4aRBk2EV3A8Pj999wdAhPYz0oiXdwXHE+vjufjUdVNOn73UZBe5/8id/gj/90z8d+m5ychJbW1t47bXXzpxfSnkFx/Hyf6tpmmcvuLrvSrk24O6l5i5Kg7I2EHzQllLatcuaGa9uab0uPcdjU/osV87J2vf2OQPtUhrA2ddl6kYbGkt1oFalwWe5oaL1V1bnHgH3FJA9MCZI970qqcRQ1OhK7I9/66fLSX9zVkc35u7u7pBy82fWmJo/l3JhP4zjofH6ap/omFCg9GvdAPHf2Ff0sKjR1DTNUA4Il/dpH9eWiblsNbM+xWjp1q+1w+/H+tPg0twPMs7Jyckh74uGCAh+Pm7UOFWm7saLjhkCZA3UVe+kc1L/uqHicvW5l8YEx60mhZK5c3lm0jGs7+Tk5NCmQ2y/hh+ScaltuqjSBe7vf//78f73v3/ou/n5eXzwgx+sXfINAO4C+D/LaaMmAfyNUsoPAvgrAAqO2bmy9/sA6GJ/A8BUKWXB2Pv9k994zj19cCllEsCKnDNWuVbgnphxjaGPOhy8gOOBTnAnY/dkmNpzAJwBwJoi0+KTnt9pPZ3t6H0dIBN7UfczFXDKFPYELn8ulZADvMfN1UuQkrMIBM7AWX/Plne5qNxUjs6mExPS/tHMY1WSqshdGXq/1RS5jxWvV7qPu51rYZhR1/EcBRE1wnw8+HnsJw9JpPa6Ads1J5McagaT9qfPAwd3NSy1XWybjgtvq8faNaEs5TiMq2NSv9XAvUvGNeOC39EoYVY+gd233/VrdQ4ruKt30nVIYu8XVZ6nDiPO/zSAf8O++0UAnwPwnzdN869KKW/gOMP9jwGgHCfQfROO4/QA8IcADk/O+bWTc74WwFcB+P2Tc34fwFIp5eub07j7h3BsOHz2PO25VuCupQvg0ySrXc97cLLTAtZlbzrhgTpo8G+e48q2VhJw671dgaf/XRkqQ/MYKJWLuyHdgHHFkJQU689rHOA1JKD1GWWUqQy1bS6z1Kd+XqojjQhuHcq4cr/fR7/fj32XjAf9ZFEZuiy17v6/GmoO7Mmo0fqlMaTs1BMqtY/I1tVQ83rWQD2BN2Wr81PjtKWU9tWzSX6p7yhTHXsEY/cWOZtP4O6sXYE2GXRJ1+hv3kavvxsnib3X9IWCO5AT7DQhVF9JnWTr8kjg3qVDfL5eh9IcrzEf8uOXUnYAPG6a5nMnX30MwI+WUr6A46VwPw7gL3GSBNccJ9j9AoCfKqWsAdgC8NMAfrdpmtdPzvl8KeVTAH6+lPL9OF4K9zMAfqU5R6Y88BzgXkr5VgD/EY7dFA8BfHvTNP+9nfOOF/K/k+JxPZ1057EsXfneunWr3a1M17M7o60pI5/Yie3Wzk2g6b8nZqfnpzarha7KRdck6yYjZCxJRiqrGlt0t7q/5MIzq73vauGNmrz0OwcT9RS4wtZPj/M7GHvM1sFGv9e26DWpn1lqBpv2Ac93F3MtG13vr7F7yt1DKc7qR4G3joUkX/6tyyT9WgBDTNH70wvnqLaRzD2FiHSM8XrPuE/M2dtdSyjrIhI1Y9gZ+7jgruPbz0/5Az4edCyzvjSQuNkO2X4C9tT2iyzPU4fnqPPQBU3T/GQppY/jNelLAH4HwIeb0zXuAPDDAI4AfBLH2PebAH7A7vtdON7E5tM43sTmkzheZneu8jzMfRbA/wXgFwD8U/+xvLiF/J3dr30AACAASURBVM9VHAgSsLsrres+qqTI3HUrUk+uSS7b9OnK2lkfS5fi77qfu0zdxe3KhYrRWXtKIHKATZOaioFKxUMDvm49uUxdAbsiqRlrqW2q/AhetUQoysuVZgL2xDq1rWkcUD4+DrUP/Vw3vvR+CUjdNe1enHTovVRx1wywBGi1uZOMV8rONzri7/pJUHFw9f5N7FcZvBsp6iXqYszaHz7ua6CevkvjID3XQbgGxi5j5nJ43R3ck+7x8UydQHAnmaEMPKznxtJFlvcC3JumOZN51zTNRwF8tOOafQAfOTlq56zjnBvWpHJucG+a5jdxbG2gZIr6jhfyP1dLTusXwb1mUSaW5/cDTtmNLwlxdsxrago0ATCAITakz031BTD0TGcqDu6qCFxpsV2llCHFkNbgen0c2BzgNG7pSUijlENaI107tK9rctZnE7B8W13W3dnixMTE0DahdM26Ame/aJ+o8k196AaRgzC/V8BO4O5jJLU/GZ3+v9aF7aPbvsbm1QhLdXFQdsB3Bp/mr268o233Z7lRpe0nwPvY0TrVPE6uV9wdne6XxofODQVuDQX4S6fcsNO2Oxinc5PB78mxyVgt5fR11gruauyqJy61/6LKewHul7280Jh7KS9sIf87KjWAd+u5xmT8PjxfwT257PS6URMsTYDECr0eWnevv4N7Agq67bjJiCtzB2VlEJSp1inJVZmCx+y1rYn5JJbuSX/u0vecAWWsngSl4K5vTSN71Gu1f3UZUYo7KoApqDuY1YxIB6NkFCblzr5LY6ML1PV8/87r0zRNK0d6Pfx1pqWU6Oaugb0DPK/huvQ0fwF0Ary3y2XBsV8L+7isdaxqjoCGLhzYuzwaOjd8fCqoK7jXvC6sF4+ucVMz9LROvJ/WeWJieAtm3cBGQzfJuLkM5bLU46LKi06oe1EL+ccqiXHXLGx3F9WUaSpqFXuCTc0woCLxzwTYyjhq7UrtdsMhAbwqaAU3B0MqL2XzVDq8n8qwC9zdBeheDr++K3yi4E5FUkvG4/Ic9z6oMcZn85WoOzs7QwqLLNHfWjY3N9cuf+Te8Vo3Prc2fhKwdzFNHQM1Q83vk+7hQNU1xpPBqfdlXL5m0Lqhynal8IPLhP8riLrhpueroehF5aqy5Xji+HCvXs241zmbPEsphp/0jXoQHNB1n3n1DI7KaNc54+1PfdglL2B4l0POIQd39lPy3lw0Y2e5Ye7XLFveLdBkUSqgJSBkSYwjubuTYgVOY4S1cIADOcFTn1VjPn7dqMMZpbvxVNElZqEZwqy7Kz2XqV7rXo6koFzRupJkUtTh4WHsLwc0zw7Wfeub5vglNXzPNr+nkUCFprkVXP7omxXVgLCmkNOYTX3ZBdhdylvHTk2pp7HoMk/jnvclsOr45Njhrnc67t3oGaVEB4PBkMGme9oPBoO2T9I40HprHX2edXn01JtAw82B3XNEkudJjQsFdt/Rj+CpL/PpSnrzOeNjwMeFl2QM6H3VyGe8XcE9edFSsuVNudjyosH9DeCFLOQ/Uz7zmc/gy1/+8tB3nHhuxdcsbLcsRzEiHew1IK0p8xqz1aIKR+tWU8wO7MngSGEAvS49m+5WfbYCvFr12jbKSO+vzN8/PX6oSrQG6jyY9awyT8aaKiVVmmTvBBq+a1szgPf29nBwcDD0Dnc9yNqVTdX6swbEqoy13g7K/ndi4mk8+DPdsPBP/u0hEG2TG2vuEfL78vnJsHVjKNUFQAse+/v7mJycbPtmMBhgbm4OpZR2B8OaAeyeBQd6H8t6bvIs1DxJ6XCDQeeAgjqNSAKovyHOQxCJqXvda8WNOG1farfPI+bdqIHjhxoc9K6pLL785S/jM5/5DNIucC+y3DD3FwzuTdN8sbyYhfxnymuvvYZPfOIT+MIXjlfUqdJJCjQlerhVrWDk7LRWapNBf1N2k651cD46OhqKw7N4/DwZGAnIu8CF7WU9FNgVKB1IEkPVNqnr3+OJtSU4LKPi7TzHwUu9DgQTPpcKiYdvwOFu+qOj0135eK2+x732zu2uIxkyDi5dfdZ1v1FGn49VPjspdra/FjethbTotvXvOe9qAJ/kUTtHNxLiS2uWlpbaNzGyX8Zh8KyPyjMZ4TyPv2vba56mBAwKzDSiCZZqMNJD5O+nqBmGXrxOtcPDlLX7ad/qHNDE28TePaGOxpf+9tJLL73rwK4yOe8116k8zzr3WQBfg2OGDgD/WinlrwF40jTNX+AFLOR/J4Wd6rEwZyYO7uO45kcVn4y13/VZVCJadxZ1g6Ykry6gT3Xh7/p3Ugh+jbP6BC56uCveE9u8fjVA52/pmdoG3rNpmtbtqfsROLg3zWncmHLnxjWllCG2ooxK37Ll8tT//aiNgxpo137XPuZ99J7pk0XZOQ83sGoZ5M5iKXMah7w/C4HdWax6ftxoTADLcxlC2dnZwc7OztCGRzxX17cneavc3QPl4KiF57qhO2rO6Nx1d7wDu+8a5+NGZVR7/qgjeTKdlKgRMzExMVTXmZmZ1hhOia3+/oWLLjfg/nzM/RsB/M84TpxrAPyXJ9//EoDvbV7cQv7OUgMa4FSRuUWZBrYy964Ynt67a2Kzbq7Uk6ImuGpcT89n/bSOHr92N2kN2PX+zhj92a5EqKi7gEfbOKquDqxaX1f8rphq8Uw+n6xdXZ66wsGV+9HRUavE+L1u16mb+bhs6W3RZMQaQGt7VFZJnrXf9F41Y8c/lbF5lniqmwNdMuI4FgjwyuB1TPAVyfo8nzcK9g4u+gyubhgMBnj69OmZ187OzMwMyc/rrm3w1SpueKjBzfF6dHQ0NG+9H7z/VBbuTdJQD8dZyklJc7EW26/F+/039WZ6H6iMWF/1LOh473pHxGUpl6kuF1GeZ537bwPofC9l8wIW8neVLuscGGaCtY03AETQTJOrZgnXQN4nN//Wye5LZ5L1r/dI4Jjc9sngScCtddL//VxVel4PNRC8fe5lSHX2Z/hzU3zT96FnP/LZnqjkCXUcH2Tr7HuyfQBDSx41Vl9T3Kxz8qR0scnzHunadF8WVfwuOzVGWP+a4ZqMLDc0VBZaxxQWqwG8usH5nXp8BoMBdnZ22iQ71qVpGiwsLLSGmbbJ5eKGjxqJatBwfLFNuvVucmtTBm5A66oN9QSlUI8Tgi72XQP5dD7/drLDueMePAV3fYeG9o+/I6KWLZ/G6E15b8qVzpZPbEYHdm2ZirN2dxkD9YlVm0i8JilhBXgCe1qKkwBe75Hc7wlktSTrtfYcyoRFQZdyYt15qDzZPk8IcqDzeqoyVkDXndGcIbA/tX4K1Jopry51VU5aR14HYOgevk5e66z96u5b7aNUUvvTeB7Hm5Tuw/GUlmslA8+NOgf22jzQUgtRaJ8piKYxr/dpmqZ9Uc3MzAz29vZweHiIzc1N7O7utvfl83zr2Rp713ZrG5W5u2FVM+LZRgVMzgMFdg3z6EZYqX9V9gnE3WhzPeL9loxkBXc+W40+Ze5dy+DSq6JVH1xUqY2tUddcp3Jlwb2mEIHTSaEbnTjIKxDphi2JzfDvxH70mapQ/TtVEq4sxgH3BI76d7L6099d3/lkdMAfDAatstWsagW3Ud4EZ1AuPzfKnB1oXK+LJaWXfrjy1r6hQgNOmXvNHa/y4X3VjZvct6m4PPzvruu7FKiCQJfHo+seOla975Qx67ks7q1KIOhGst7HjWUuRWT/E9h3d3exvr7eGm+a3Jcy6WvjW+ut8zPNOyUDtd35XLdwLKUNsHxcJTd7LSGYn/67/q+grntD6NylrNlmziO+JIvgXkppjW7ei8dlc8vfgPsVBnegbhkqSCTX0dHRUau0045QbigoA3L3fmI2WtSaTwCRPACpfTWAHAUC/qz0txcHYCprbmLi4K73U9e7M88kgySPpJSokJj4lpSvs6W0XtiBnc9UgE9vw0v11zaqYncDrEvOtT6tjRetb/obwBCwp41g0n3GrZ+CStf4TCyev6lr3+eQG12UM2XM7wnwe3t72Nraat/W57HrmjHp7dS/3egbDE43vlHQTqE+1jcRBycQSc84KPszajrHz3WAV3D37ZZdFlwCx9dbE9wBnNGpCu41knIR5Qbcrzi4A2fjxqrgGJtLbl0F95qbzCfc4eFhdTArI/R6aD3Po3S8TTUgOG9x110ClBqrIcDz8JgdlcOouHMChlRPZyTOGBkT1XwAX4bn4Zaaa1kZV1d2v9Y5ud0Tc08seRwgrxW/H8drDRxc2XU9szbG9P5aB5dHMubUw8HkNK9bzdAtpbR9Qfc2Y+8Ez8FggP39fezv7w8teXTjy/vA261/q8HK8c1Q1KjwhOeedM2HBNBpDb17+VTHkICkLWEJyNyV0Zm73pP1Jmvv9/tDyXTUgZS1vp9B56Ybke81cN6A+xUG9y4GyI7VgegAzwQRxpbcDavFPQE+oDX27Mrc3ZWcQAoMo4DewT1d49fWBqoDu/6t7U6srgvIHHRdmaWSAKQGdknxuwKvLRl0cKp5YBSgNAGwBuxqrKX2uLwUMLoMNGWwep22I12TgD2BWqq7t83P1z6oudTVsHPZK8ATUFiH5Gr2sXTr1q0hJslNbUoprXFeShkCOM95qOU/eP+kdqvnQOWQ5lnNa6X3dHn6ZjC6Q596XXwO6GfKr1DGroDsXjfVAZR1v99v9xJg7kQXuHvfXTRYXvTzL7pcSXAfh/U503aAJ3tX5q7snRPdJ48ObJ2AXeyT9aTioJtPXX9dAJ+MmOdhegnYXWYKSknRJXfr5OTkmTWuNfBIxcHG49bOeLzuel1tTT3bp4l6yV3tz0/t8D6oGQD6mRReDdi1L5Kh03VNAoRUZ21XjdV7/VNMV70/KrdkYPkzaRRrnbU+yiR1Hfjs7GwLKgpI+tYyBTq2w+dikueo+VebRzUDrzb+1dDU0JMTh+R5qYFWYv0KxlxCSM+jznOV99TUFPr9Pubm5oaYO6/TWPtljbnflCsK7kA3uHGgKtPW/am5R3Upp0s+fCMJVwCcKJwkOglrTNwHurJDTm6N6SW3XQ30xzEmUh38vFQ0vJAKAc3/94StLrd8aksCds/MV3BI5zmws088jp921KrVI4FrquuoNibGzdLlkfB66TmqmLtA3eWsbRoH2N3rkcBdkyp5rntStA0+9hM71jXinJ9eD5WNGhRedz5TPSPp0+Xm/ej9lc5J90lGWC05TYmD9meXcajhQ70vdZa+AVGLtoWGFFk7t1xm/6b63sTcL2e5suDO0qUsPfnDM66B08zotP2jTihOGrJ2Ze6crF310XopeFJ5k3EoIDkL8PsnBjcK1McpNYajhYYRlarKIblrawDvQOnZ9grarvgd/Gtb3Xpike+F7SGVxNxTnb3uNcBMQKu/uatVn8N28jkKRHp9ct/WxowamP7sdI26zNNzvI0K2CpfAEMJZbxOE9bc1a2Z2wR3r1eSs/dFSqSsAbv3gctDr+maZwnY2Vc1d3lK/q2NjzTm1MWv9+fWvfv7+0MueV7He5O580VJvV7vTDKdgrq6+S8TON6A+xUH9xq4cZDT0tRBqPEhAGe2KtU10ZrEogl6ei+P13YBWVJEyt5VaStwpPt1tZ2/vyiA1/v789UQSQpU2zKKxSdAJ/vjMjWtG8/VHeX8lZk83xmNA3vKHlb5a0n9koyALlBP8vZ66HXORIGzy6Zc5qP+TqDhYKH1qsWYU5tTjNgZuRq2nAO8B+uR9hxI7LlrzI1qb23udLH3UYa0f6fGkYcLqU+ctbt3yeWTPGNN07T3UFc89+bn5j9ufAHDW87Ozs5ibm4OvV6vnXvu4lcPpnvtLrrcgPsVBvea+0w7yGNOHh8CELdZJDAwpqfsSCcNB7UqhcS8lUk509HfXekkd2/NaBhH4Zy31JSg15F/80ggMArY1ZghmDugKHsF0MZamQBUewNcAvfEQNU4qRkj6Xv95N+jFF0yvhys1E3N7xLjTklo/iwvXcCudfM4+zhK08e7H1o8X0Lrod4Yf6FKkhn/T7KutZm/J4Dvuo/3X+2e/M3j6wqSGjL0ZDhf2qayrY1RkhCCOvfkV3BPMvR4O5Pp6FFR3aefSnK6+uG9LDfgfoXBHehmRJxQPiBVuZNBcA9yAjwTc8jegVMld3BwMGS1Ovh0KSBnZ7XBpMA+rrs3KZwkq+cZ8KOYp7PXxN75e2JTeq2yd7rigeE9vll0LbG+JMZZOw0zP5z5sqg3ZpxYetf32r5kkPLZqY+7QNGBfZw66bW1bHevW3qGGzs1pa4Ggtd5MBgM7S3hyZTqvUkrH9Kza8/XOnubx5lD48hTP7uA3bPNa7sval5DbdzyWT52CO76sp2dnR3s7u4OMXcdW5Q9t5ydn59vwb2UciaZWHVgbetZ74P3ulw3sD5vudLgnoorJ06mZG0eHR0NWau6rjO5/3zSKHvnswnw/L8G5q4Q9Ho9aszd7zWuAhpV0r2czSSgSte5ouxi7vydit1Bny56XZmg4K45E953HnNPS4sUyDRs0wXuSU4qlyRzNdb09xrA+3MUMGsgVOu/2rUJIBzYa4y4NvZ8fLq8+b2+cEaB3EF93PBUktU4dVZgHzWXeL63xa9NwJ5i6kk2rGsyhj2h0eukOk+BnS/eUTnwPpxjvV4Pc3Nzbaa8vrZViY2D+yjddlPe+3KtwN0VKyeWWpo6KBnPVXBX17y7dekJ4KRhgkq/3z9jSWuWdheL98nrwDkKELWMA8x+3nlA3++jJQH5eYrKTY0jTbRSlqvx9rTLIOushtmo3dpopBHc3VhLDC3JOyW+eRv9es27SDJMjNrll8bTKC9ALYTkruBUj1obayWBvMqS2fQK8Grg1owXl4O2u+ucrnqOe00CeZYasKd14dp3Gnry57AevK/OCx6a+Lu9vR3j7aojeV96wAjujLfXgF316Dj5GO9lqRmko665TuXKg3sXAFJhE5AJxhrjYnxWN20gwHNga2IdJ47GsWZnZzuzRVVZOrh4jF6XB9UMAL/3OC7FpIC76pvuoc9Lv6fEwFRqDF8T0hzYHQjGcd0qU1X519io9rECvBsLKocau/K2+rleR723J9U5uPlKjppBp/d1+Xn99BwFdncBp34b5SlIv6XwCtuawlq19nlbkuHlsk7trxlStXaNAg8F2rQFtso2AXrN8Pf6+JjVpWrUeQR2eiopXw1HMTw5OzuLhYUFzM3NtS75w8PDFsx5P72vMvfLApA34H7FwX0cC9zj7nTL66CcnJxsM0Qd3D3uTk/Azs4Otre3sbOzg/n5+SErms/mpzJHf4EHQUqBXV1lbrGPYkau4LQuXdd3DWxX4F1KssZaRxW9XmVRY1Ean9fD6+WGlcq3Bu56Luuk57jR1eXN0L/TwTpoOEJB0zOidRzouUm5doGQy6gG6udhseMWlZ+DnLZZz+dnAjiXpRtUXu9R39XO6So1z0cN3J0MsN3aXvUeJWOFcqPu8aV1ugROE+mcuZdSWoIzNzeHxcXFkeDuyXQ3zP3ylSsJ7uNYtDp43aWkzH0wGAxtbclEEq7v9CVInEQ7OzvY2trC5uYmFhcXcXBw0BoEtJBVefnuUTqQFMT1fAeBmnJyha7fJ6CvXT9qcI9jJNSUZO0ZtfPdRa2/d4Ge1zfJtebW9uVY/kz2Z+03Xwqn7amBOzD8YhR6KrRO3l6XZzr0nNpcqcmmS1G7UdFlxI0y8Nge9b4kQyoBd2pP+n/UeV1Gc5fhlu6loOxrwn2Pja6ERu1rjgUveq0+T4mEAj136iOR0DowkY7Avri4iNnZ2fblOGok6ME187U6XmS5AfcrCu6jiio3daXT4lSAPzo6ahOy+v0+5ufn23jT9PQ0dnd3hwwFgvve3h62t7exsbGB5eVlLCwsYGZmplVSANpJVMt2Teui1Zp2Bn8eNjEK1PlbYq+j7ltTtl11SkZEl/JMcccag/F7OvAl8Er1Y1IRFaD/5gzR2zAKWGrg7l4AjosasGtJIJ9klq5z2Wj4ydvjdfVPveeooqDu+RJpPX+SZZc8+ZuPiRqg12Q0ymBMclF3vO+MWQN2b4+Gt5LB6HXg85SRu3HB+unugeqSn5mZwcLCApaWlrC0tIRer9duK+3gvru7eyaZrmZgXmS5DHW4yNL9JoUrUhJz1UGm28bS4nS30u3bt4fAnVnzzBblPTmRnj59iq2tLWxsbGB7e3so/uTuX3cFuzJ3Re9Hl3u6xmL9GOeccZlKTfa1+nk9Uly16/ra+TWlkhh7V3/wWQQbBXivu++EN+rNX139kNrrYYZx3iiWvCIuNz0ol5RkOC4L6zJouhS8GlF8rajuLcHr3SD2td8pzKLzS9vh8qkZZ13tGwVcriPSFq1dcfekF2pjSVeJ+FhkPQjuPHhvGs2+S2ev18Pi4iKWlpawuLiIXq+HiYmJNl+JSXnqlh+1M91lAfkXVUop/0Ep5V+UUjZOjt8rpfzbds6PlVK+XErZLaX8T6WUr7Hfp0spHy+lvF1K2SqlfLKUcs/OWS6l/Lcnz1grpfxXpZTZ89b32jD3NIgU3Mm2OUgJ7vv7++3WljMzM5ifn2+Pfr+Pra2toX3TqRS5ScTGxgY2NzextbXVurK4Pltj6A4iChajFLi2hffQz8TK+bsra2U06fuuCenPqXkD9H6156V7p/ukom3S5+h9anH2Lpc8+4bL6vzd2ymmP6odPF+fUYvhu0ejtgRMx5b+5gmJtWdQNmo4jquEfcy5MT3qWt8rXvclUFCugamOr2QsUjYun9ocSfJKJRkGLg+VrRolKdcmPVefoXV2wNc2Jv1B40h3j9Nxov3P8T4/P4+VlRUsLS1hfn6+3cOfrJ2b4ezu7rbL6kbtJ18znN6L8jyGxRjn/wWAHwHw/wAoAP4+gF8vpfz1pmk+V0r5EQA/COB7AHwJwE8A+FQp5euapjk4ucfHAHwYwHcA2ATwcQC/CuBb5Tm/DOA+gA8BmALwiwB+DsB3n6c91wbcgdw56kqnBaoAr1mkHOQLCwtt7J2udlWGnCx7e3vY3NxsAX5xcbFVWpw4bpWrsk6sLwF8Yh4O8A7OPDSer0UVcw2I/bkJyNMEdhAcBfAJnGvn+TnpWio3GnW+yUZqjy6tI5v0EIsfWoeueicQ0utSvdJ4YFG3uSp8l5PLRA2c2qYjNWWs4ys9Z1TheOdWsrqboL6oiWDhn34vnUPq4aidVzN+U1tq36f5p7/xSOCu33ndxpGdhiuSYePjisydAJxygAC0ycTz8/NYXV3F0tIS5ubm2h06Hdh1zby/CfIylXcD3Jum+Q376kdLKd8P4JsBfA7ADwH48aZp/jkAlFK+B8CbAL4dwCdKKQsAvhfAdzZN89sn5/wDAJ8rpXywaZrXSylfB+BvAfiGpmn+6OScjwD4jVLKP2qa5o1x23OtwL1W1JVOcHeAZwLd3NwcFhYW2oxRfu9L4mjV7uzsYH19vXVp6d7mqgQ8flqzvGtKXQ0EL85MakCfWJYD+yjFdtEl1cMnci2hSBUji/YFXcWMAetmOHp+TSnX2EvNFd/FdroUvxtm6X4JJMdlWTUjKtW99un31c2G+KImekbc8NC6Jte1yjW9NMjnVGprqqu3b1R/1cYADw8TKBDWDHQfmwRk4GweiiedulFL4qIGoOZWaCLd0tISVldXsbCwgOnpaTRNg/39/aHta7k6SHfnTH1zGcq7Ae5aSikTAP4ugD6A3yulfDWABwB+S+63WUr5LIBvAfAJAN+IY8zVc/6slPLnJ+e8jmNDYY3AflI+DaAB8E0Afn3cOn7FgTsT4TSGpBvaMO6u7H16enooduWJdZubm1hfX8fm5ma7DWrTNEOvj3U2m2KqCuqJ4alLL7FjfjoLqYG7T4CkzPR+XUxvXAaSmHYNrLQe43wHnPa1bpOp7kmvs4O77mPu8vdr9JldbR4F8LW2u0GncnKl6kdXfoHXT/9Ofe7yHgfYtd3cKEoP5rJofVMYJYVV9Bkaf+Z9p6amqn3wIor2Y5oftb5IBorej4CbnsHC3x3Y+R3HP8FdQxP8TV3yTKRbWVnB6uoq5ubmcPv27aHNuhK4p/3kvVwk4L9b4F5K+asAfh/ADIAtAH/nBKC/BccA/KZd8iaOQR84drUfNE2z2XHOAwCPrF5HpZQncs5Y5SsC3DnBNMudG9Aw9n54eNi6ZHVJCJPrCBSqdDSxbm1tDWtra+0e9cDw61w1QYu/jZM0xQFHC1wHYMqiB4aVhSprVUI1QOoCaY2HPm/xNrzT4sCib8SiAafvEnD27h4UZ3wuN7bB2+T14fddDLyrLaMS25KB5mw3JXFqfUd5gbqMqgRo3m4Cr4K6hjpYt5Qgl1aYKOtkHVNyntdbAbEG8LU+9HNSn47Tx6m/3GAkANcYvQJ1MgQpI03c0750cL916xb6/T6Wl5exsrKC5eVl9Ho9lFJwcHAwxNp1065x4u2XvXzxi1/El770paHvpqamMDc3h9dee63r0s8D+GsAFgH8OwD+61LK33i36vlOyrUC9y7Wp3F3TQxR1zyZ2+zsbAvuCwsLmJ2dbVm+sncuP9nZ2cHGxgaePHnSviqRSkeZu4N3Yu6uZPRQkOa1wPD+52oUuJGgstBYvCqbUUy8S/EnuWvfvBMlkJSIA4wqN7rk+bIMema8H1I4hICj91bXprbJCxO5+HsNEBSER+2cV5NH7TOBvDPDceXsf9eeq+OGRpIucyO75nnOzNOnx6rdANB54G9oTJ6y5NXyNupvPh+6+lLP6UqETPPNGbuer4Z6zYhQWWqWvsrD99gga2esfWVlBYuLi5iamsJgMGj15Pb2dnvoy2e6suQvS+mq3/ve9z68733vG/pudXV1FLCjaZpDAP/q5N8/KqV8EMex9p/EcZLdfQyz9/sA6GJ/A8BUKWXB2Pv9k994jmfPTwJYkXPGKtcK3GtFmTvj7hyoyt6np6fbbWh1Wcj8/Dy2knkb0wAAIABJREFUt7fb2LsqzcPDwzZr/vHjxy3rZ1xxamrqDIj4/+66VyXg7khlmVocfNxt6IrN3ZujmB0VkLNA/ubyTsziefotKeAEOO5R0b7mZhsa96W8lGVq0pGvSU7JkSo/LbWsda2z19UBPhXvy2QwJRavBmGqi8q6xjBroK51o/zURe5LC5Wpp9BB1/I39knaQVBf48z+1M/kXfB21/qL34/jiUnzehyAV4M71bFWeC/PM/F3rKscAbQhyKWlJdy5cwerq6ttljx1GkF9a2sLW1tb7ZJf94RdxvI8dXvOtkwAmG6a5oullDdwnOH+xwBQjhPovgnHGfEA8IcADk/O+bWTc74WwFfh2NWPk8+lUsrXN6dx9w/h2HD47HkqduXB3dlprXACqLuJsXeCfK/Xw2AwaLPml5eXsby8jMXFxXZwqztKAf7p06fY2NjA2tpam1jH18fSI8D61hi7KiGPN7qi9cHLzSm6EoicJThYdTF3KiCV5/P0U/ISdHkDapPUDSAFBF3fSxf9s2fP2thv0zRDRhfvpwDy7NmzIZcvXczaFm9fjQH6+Ez1VEWcDDSXXZJhqo/3a02GyUgYBeoK6BrWUEAnwBFU3ENRCyUk0FeDSIFKWa97C7pc8TW5eN8lQzVdp8xd5cFDPShuoNZWtfh5NdmkV8k6CeHYZvhxcXERq6uruHPnTrvSZzAYYG9vr9WPBPbNzc0rx9pfNLiXUv4JgP8BwJ8DmAfw7wH4NwH8zZNTPobjDPov4Hgp3I8D+EucJME1xwl2vwDgp0opaziO2f80gN9tmub1k3M+X0r5FICfL8eZ+FMAfgbArzTnyJQHrji4d01ML8reFdwZR2IsiYOfDJw7NnG5m1rFCgj7+/vY2trC+vp6656fn59vN+jgcrvE2tViT4ClA5Ugm5iIx+BrQA2cdR/z2bXzuwDinfTLOPfz3xzYPZHIP6n0JiZO3xMAnN3HXn/j71NTU+11zqqTC3VU2zzhieCeGLuChX9fk5nXj/VKRoYz+1TfdE/KxvMVNFtdQ0UORMkr4EcN9H2JI+tSynFGvhpLahz73BjF1L10EYg0Dx3YKauagazfpxBCGu9u0PrmXKpH1BjipjXO2m/dutUufXNg39raGko+7vIw1eT0XpZ3ibnfA/BLAB4C2MAxQ/+bTdN85uT6nyyl9HG8Jn0JwO8A+HBzusYdAH4YwBGATwKYBvCbAH7AnvNdAH4Wx1nyg5Nzf+hcjcEVB3ct4ww0grtaphp/Z+ydlu3CwgKWl5extLSEtbU1rK+vt9arKkXGunZ3d7G5uYnHjx+3G+FoEpG+GERZD4srMGXt2j5lmyzO8vx7Laqg3XDokt+LcLWPw4KSUvP/VdEpm1PQdDeuv3e6dj8WKmVVZOMydj23xth1R0PWwb0sen169jh1SPJVL4H+XTME9X4KXv63ApPvLTBK4SaA72Kqz549a70G+jufXZs/tVKbQyqbrvs4c2d4IuUKAGdf3evGltehBuz67gx9KZbOC33LobL2u3fvYmVlBb1eDwDa18QquNNrmbLku8bdRQL8uwHuTdN83xj3+CiAj3b8vg/gIydH7Zx1nHPDmlSuPLjXWAtwVrlyUjDRShNFNBOULITsfXl5uQX3nZ2doWxRThjed3t7G0+ePGmT8bj7nboJE8C44hqlnBQw1FBIrsQu9/d5vR/P+7vXx93Go+5ZU/pUcr7dp783W4FbvSfOvhPT9XrX5NzVBgKOKtxxPQGj5OqKNrF3r0uXcnaQ0/9rSziVpfO+Pna9XqNCBQ7Y3uece5p/kvrTj1Gu+FSn5E6vXU/5MMejlk+RxjbvwbbpGOAYUkNWl3wyf8gNW+oThi1mZ2exvLyMO3fu4M6dOy0J0Vi7snaGL8+bJT/u/Lgp70650uCuk2NcJcvBvre311qkvu6dyXBMrFtZWcGTJ0+wsLDQxp729/eHFBhdXjs7O5icnGwT8bjLHQE+xdABVIHdJxInPhkl/1eQH9diHQWwzgwVHEe55UY9d9Tzna2qwk9JVwR1ZTCq5FQ5Mv5eAygFL/ey1AyDVHf93z0ybJsm8dXk6UZH7VmucMdlT+6+72p3an8NRGvGdmqDnj8q9q7hKmfLnqXuRsY4AJ9KbXwmWTJXw8erz30A0bvhMlLDwt3wuj2sgntaYcBtf+fn53Hnzh3cu3evXds+MTHRbsq1ubnZHnx3xrhr2y9LeTeY+1UrVxrctYzDKqlEmQDnmaBk8NzvmusemVi3tLTUgruueeckLqW07vn19fV2WZzuVe4xSU7iWgZxYlpdwM6/ndGMKqOUnRoOrIOCUhcTTM9wRZ/aqbLV71JCGuPq+mpfZRraBgcsjxmrW5UeFwc09T7USgIUXx2hgKYGTJc8k0E0jvzHZeujrvfwRWqzXzPK0+FsXRPo3OOhwJ4S+DRspfdz0FcZjhr/qU0s6VrWjfVL7D0ZQzrWfT40TdPKgO+2qK1Bd3mVUjA1NdUufXvw4EGbSHfr1i0cHh62+pCgvrGxga2trTOJdF2yuEzlMtftvSjXBtzHKWr90kpVcN/e3h565evU1FTrwiJ754Bn5ry/8lAz5xm37/f77Utl+I54B4mk1GoWvSpZBXjGHsedgDWmkIqCWWJaft/a89zNm9i7giHv7QDvyXLqnlTmTjlS4au7VA/dZMVjpgr644CUtsFlrHsT6PkeK3bG6f2VnjuqP2vjIo0tP6fr73GKGlN6Dx37iaWnODv71LedTW9H83t6Yt2o4m2uGUg+JpTBHx0dRYB345X3TQa+yoGsXfd9r4E7ZXXr1q021n7nzh3cv39/iLXTHa+MnX9z+VsyTGqyuujSNVe6rrlO5SsK3IHTycPEOo0rcZLs7u62e8pPTU21iXWrq6tDb4HTTGeNvZdS2j3n3377bfR6PczNzbXKR0FNE5DSpPdBOo5bVidglwv0vGzEf0v3Hod1+rWJBSvA67kEQJebMxUFdV2upS8u6fV67XbB+tpRjStzKVzKAve6Jk+Ltk//9j5217j3XVd/JYXbBe7eP6mu6ajdNz1HP/UeaYMXzh9N/vINbPR7yka3nWXYS5m7M3bfq2AckHcjtma01eRFgGf7CPYcwxpi02e610JzS7iHg+62qXu+e75JKQXT09NYWFho3fH37t3DwsICpqam8OzZs3Yjro2NDayvr7d/M8fIlzB2AeFlAMkbcL/m4N7VWVy+xhgT2Tgz5xkrn5ycHHqxAhPrNjc3hzaMUAWv29I+fvy43a9ed+miAtelcG61dw3Q8zCP5PoexfQSuNTc6spCa+y+qy9UEaY6JIB3UCf4atKivnpXgZ2bFfHgZkP+HndPjFJGmOTZVRLb1/7u6n/9za/XeoyS8zjnJ5ByT1PXfYGzWeAuTzdiaLAp2/RDAd/DJmmzHNbj8PCwfRav9aWno9rk7DnFzjV3gwfbToB39q59rKE27SNl65o0qvu+0+uoyXRqQGgSHYH9zp07mJ2dRSml1VUEdHXJp+Vv4xjvFw2UN+B+zcG9q+jytRR3n52dRb/fb5kdl44ouNMtRiWiCpiegfX1dfR6vdYtz93RqNh8966aIgdwhvV0uYe9JKBIDFP/ril+PTexblVQicm7YlUDoebepOLzpC6Pl09PT7dLgfgc3+Oc4K5v8EvMXBmf50m4DGuyVFkAw++Z94SnJK+aMea/1+Tr/arf+9/uNvfraoYN2+VuZJUh+4pMVZ+TmHtyyfM7BXYNm2joJLm803K9mpx8rqQ+4+9uCPr7CVL2vMtKDR9fE68yILC7S555QP6K44mJiSHW/uDBA9y9exfLy8tthjzd8TXW7qFHHzdpLN2Uiy/XEtzTIEsTV5d+bGxstK96ZSLc3t5eq0D4goXV1dUW3MnydbJzQjKDm0vjmDE/PT09VB9VEKqUvO4ObOnT2+ntdXbYBe61/xOY184Hhl9TWQMoAEPgrc9yhecucyr5mZmZ6qYwvte5bo1KRl5zuads8fMAuspckwCdoab7qXzGBXa/jvV1g6n2fS1TXp9Z8yporoiCu3qn0koDvdaZrS8dpDs+xdnVHZ/GmO41ofNOP12+7g73pD5tU1fsn3LgmE3sPxUaM2pQKsh3ATvd8Zod/+DBg3Zde9M07d4c6+vrQwdZe8qQvwoAn+bSONdcp3KtwP08ncOJwrXpGxsb7Taz8/PzLXvnXvO9Xm8o7s4lIltbW2de1KCutN3d3VapkDEqy+AgrO2BDQwzdmfuaXmSs0X+nZRwYi01kE/Mvet7vz6BA79Xhp4S1xJDclbn8XbeX5Wvsqv0Ipla/b1vHFxrXg8FLV+Hr0Cm/ZVkmRRql5Lt6rOatycBuz7Lk9y03p4Ep20hQClrT2NCZZXYPDBsqCXGTkBO8WGey3qkojJlfbTf2HfuUlfg1k/m2FC+fL7KT/ustpSPiZhaJ4I7E+l08xrKil7Hu3fv4sGDB7h371671Szd+WTsfLPl+vp66+avyTKNw8tWLmu93qty5cE9Wd3nuVa3jiVoz83NYW5uDrOzs+0rXCcnJ1uAv3v3buu22tnZaa36vb29IVcbk3mYPf/222+3S+LcfZiYY4rjKQipInaloG3kZy2eq3L0v2sydgMiGQe1z1pWv8YcVQaJxavSc4VZ835QCbu8EmNPYyWxaGd/+rsaeZrVr+CuLJf1TEo+1cevUc+Hn1d7TnpeApdaGEHbq2NMDSuew/5zUEsxbU+iU9e171uv9XQDUvteXfvO3rUvtQ6+xJIAynu4wXl0dHRmPKrnQhm8G3W1PtMxqzpLd9ZUxg6gDVEtLS21jP3evXtYXl7G9PR0m0RHpq7Avrm52d5zlHehVvfn1ckvqtww9ysM7jUr8rzXc1kc407r6+tYWFjA9vZ2G3fnp8belblz8wi6yzipSznduQ4Anjx50sbdadnrZEwbq9TYZQL3LoD3GF9NsQDZlZtyAGp90AUc/F29Fn4ff1aNWSdPQALgWr0Su9W2ODvpYi41mY/aHtTZf+pPBWw3KvRQ17TWwWO8lKmOMZdzMlDUM5KUfgLWUQacjwGVm4YxCHK+X7sCcy13gTJMyWzeh6nduvubgjvv7QamGm2DwWDoxVF+jY53H2MK7GznYHC60ocb16QdM/l+jJWVFdy/fx/379/H3bt3MT8/j8nJyaF3YRDYudS3K9ae5kfSIV3z8L0oN+B+RcH9RXUCB4DuWLe+vt5uHTs3N9dOIMZpZ2dnsbKyMvSeY534rmAI8M+ePcP29nbrKlNwb5omviLzPKy9BvBJcXbJcZTrNt0vMaGu+nlbukCe39Xc5/ytpnASwI9qn7Yz/a2ftfsosOv2oL5znpeavPisJGdfO8/z3K3NscnrCDpN05zZqEeNX3oeusDRZZiMR61zkrWOJ80M5x7yasC4geDzzsF9cnKyytxT/akXdCc4NcwoR4aSfB7offi958aocaUhCxoiXh/Kha8y5k6ZPp5u3brV5gjdu3cPDx8+xP3794dYu77kiuC+trbWkpXE2i8KqJ+n3ID7FQX385YulystbS6LW19fb9/jTtd8v99vM6u57v3OnTttlr0mtXhyHcG9lIK9vT2UUvD48eMWyDmgNAlGwUqZbwL4UYy9BpwJ9EYxWb+3x0jdePA6JpdqYotd9Vew8+dQfl5Pb0MXS0+Ak1iLP78mG3XJ81PXa3sb1P2sSj2xXQBnxorKgq5tTQRTxqkeHAIgn5+u977ukqn+5mPCZeXATrczDeamadolpM7WNfyl93MvhS+rU/bvMXhvux8aJlAPVJfRAuCMZyV5tlyOOo64cY2+zdJfF0zysLCwgLt37+L+/ft48OABVldX0e/3AaBdxUO2ToDf2NiIu9ElfXHdgPA6lq8IcB9VGFvb2dnB1NRUG3vnbnVMqGP8fXZ2Fqurq61bXneI4iTUpXEE+IOD4zf/PX78uE2uIYNSYFdGz+LAmxLpaqVrkjqTTUZC7T6qkKlgUra0Mi71TtBV2eVt4P8eT02u/i4Z1Nqj92dxt3KtdBlUBKnaC200Pur9qfVIXg7+RtkpY+d3ZHm1d8arMZXYYjIMulh76j/9WwEwATHv6cu9dK12Dfi07cnIdHB3D4TK1Y3WtLGOh7jUiEhjgUfaK8GNdZWJPp/bzTJ8yE1rfBfGW7dutd7F+/fvt6x9aWmpZe3b29tDbJ3gvrW1NRS/T0bcVSk3zP2Kgrsr1FGu1q5rgdMJTYDf2NjA2tpa++IXXe/OTFhOoLTO1FmHKlQmspDFqmvP2a3G3JUZjNPeWhwvyeE88vN7JqBPAKAAcnh4iKmpKQwGg7j5iLN4/SRLU/dyUpZaz1obUlv891S6DAoHKzeAVGErMGksWUHfATH1AYAWBIHRL15hf2id1GVPOScg9LZ1jR1vh7ZF669yUTc4jeHbt28P3VdBuUv+LBx33l5ucOPF+6smRx1/Kn/1ivB7HZOaZKgGgl6jsuAbLJn8xmW4yrABtO/C4N7xL7/8Mu7du4elpSXcvn0bh4eHQ+54Ze1dS9+0L/3vWt+n897rctHPv+hyJcEdqK/BPu91LJqosrm5ibW1tSHXvG5VeuvWLfR6PSwtLbXJeJq5qhvbqKJJCVS0tvmZwD21bRRT17/TIO+637iTIp2X2Jh6JVxh8tkEuKT8qSwd7Gteh3HA3X/3fqnJpmZgJWXoho8yMjJits93wvP2JBDTOhFg9PcaOLOwTqk/atemZLra3FN5qqGi8uE8ITvVXR8PDw+HdnTkdWqksB36t4O/g7W65lPf1gDdQdj7SA1PNQDUEADQ9m/tWSoPLncj4eAa9MTamfDLOPvDhw/bV7pOTk5ib2+vvY8CO5e+pSS6Gsh7/+tn7ff3stww9ysM7kBWfu9kINF1zrWfa2trmJ2dbde786Drq9/vt+55TXDhG+M4QdUdygH09OlTlFKG2HvKBu5aopTa2zUZn2fwJobrxeuXAFYBTsHek+wc2Lrq4C5Vl8codpkUVa1dfv9Rikyv9dAJZaEsSZdSpTfRdY1rBRe2V0E7KWv/1JBKKeWMC7oGdGn+1eTqIQcPXXjIQnceVK+EGzFqDKoBrd4iZ8Weu6Ftqbmj9Tnafv1dE+z0b88L4L3c7U8ZaHz9yZMnePvtt/H48eN2Z0zVKzQKuZ79pZdeat3xCwsLuH37Np4+fYrNzU08efIEjx8/PsPax1nTPmq+uKz0870uN+B+xcHdyzgDqqsDqWyUvc/OzmJ+fr5l7r1er92Mhsl1q6urQ8tSmG3qe84rw2BdCGYah1aXvYOE/837OMh1tbeLZfl3yQuQWG6NYab7ODPkoeGHBKhuKKQ2e31VPnq/rnHgYFVj66m44eIGW9pNLW3CM2rnPOBsjFefr2PODwUplasy8i53tMerfWyOMigJwp6wpi5m36yGbXVg53OT0eEbQzm4q5x8Ixz3OtTyQpTBMyHRZc1P1t0NqvTqYl29QzBeX1/Hzs7OUMb+xMTEkDv+4cOHeOmll3D//n2srKxgZmYGg8GgTRYmqPOeGxsbcf94lXH6TGOOZdT8uinvTblW4A68c0uRmfNMOpmdncXCwkKbTEfXPN8qxiUnnJBMBNLlQ4PBoI2/u3La2dkZUi4EeM8OTsDJSZQYbvpunDKKqdeseq1Tuqee38UGNftbwUuzkp2tdQG8lwTQLscE7snY4LPcyFJPjL65zI0ZXW707NkzABhicL6NqdeLz/C2O7jXgM2vU3aZXPJdy+p09YP3uxtlyth1jTbb4y+DceaufezeEDeuvI0KqD4W1ZDyvnQPE0FbDRI9x9m71pNjWeWguQbcM359fR1vvfUW3nrrLTx+/Hgo4Y331GVvjLM/fPgQd+/excLCApqmad3xZP9qLHAnOh2Lo5h7Kt4fF11umPs1BPdacWu0i73yrW5k7/Pz822WvLrnqbz7/T5WVlbaTUqosNTtqvFKZfBU6uvr621WMO8L1DdwqYF9rU2jBm5SwrXrnOnVjq7ndl2nAOUg2/Us3levrYG2l1Gy9bp3/U5A0BeFpK1x9T6+He2zZ8/ihi1uOPhzHdwJZLornjJatse9SilGnTLvFcxq4QcaDimmzKQ5AhXfv8B9H9I9WSf+r59qaKhx7AaO1k/BXQ0JlbUDvK4ucFk5g3e2zzHAuuib3rjX+5MnT/Do0SM8evQIT548GYqzs69U95Cxv/TSS0Ob1TBeT7au4M49OrqAXce8fvq4S+deZLkB92sI7q54uwZpbVBynS0zVLkd7dzc3BC484UlMzMzWFpaOrPsSeOItMwV7PmswWCAra0tNE3TKvOpqakW7H2ZVAJ6Ktdau2vf6W9aN3fPdZ3vSnIU2CdGUAN4tk/bOgrcu9o7CrT9b/eAaB1S4fnKQmuGnXtm6G71ddR6nrqrtY9cVpQLxyRXbwwGA0xNTbUAxHP1Xt6fCu7+HgVdK17bElYBnQDIttKIIVOfnp5Gr9dr3/aW+lvHqY4Vyqe2TJSAmsIWDIU0TXNmP/iuXBgdf/SKqEwc3N3YV1c831C5traGR48e4c0338SjR49a17kbVVNTU5ifn8fq6ipefvllvPTSS0Nr2pvm+MUwa2trZ4CdrN23030eUNQyyvB9L8t1A+vzlmsF7om1+e/6CZxV3px4ZO9MaGHWPN3xfGUoldH09DSWl5fPADsnDpUKE1ecLXEZ3pMnT4bc8mRn7pL1+lNZp/McUJNR4+5xn+huUCgD6XKzezsT2KffHOC93Vq0r1XhjnN+GiNdSiG56/18ZY36fnmXpZ+n+86ToflOYWr80d3PrHIHVoaYGDKil4hAzFCBtkkBVJml79BWGxdJTl58/rEuzGWh4awb+Wid2AY3btSgqr0trpQylBGuY1XrpomdCeApQ/W2eP6IsnttcwpN7OzsYGtrC48fP8ajR4/wxhtvtAl0vnd8KaV9jev9+/fx8ssv49VXX23f+MY4++7uLp48eYK33noLb7/9dnsosKvR2TX2u/Sq9qt7yy6qPI+Rct2MgWsD7qMA3f/27/yTVvXOzg7W1tZa5s64O4GdL4Lp9XqYm5sbYukK8KpY/Q1yANoYIDD8/mcy+FpSFXCqiJzhe7tq7VfFmQA+hQUSgLuSqxkJ+txRbGFcgB9VuoyILlmlujmbroVICNqpDsnFzuPg4AATExNDIK8xbm6lSmDnp8aZ2Qfc054AwXr6sjt3Xyv46A576hZ2hqxHTebA6eY8npegiaoEZmW7CuxeKBfNWfH9E9Qg5f8a//Yx4N4SrmYgqHt8XUMYLgfNGVHDiTk66oonY9/a2sLu7u4ZYL9161a7b/zDhw/x8ssv4+WXXx5yx+/u7rYJdAR1snbPuB8FainMNQ7AX2S5AfcrCu7jdNwoUE/n+icnH11lXBbnzJ2KhO9OJoDrtp1kC1RQ6qKnouDzNjY2ACAuiQIyQPJ/ZfA1gNIJqMrck6gS0+T1PF+Vr7OXxAb0/FT/mgFyXoVRM/ScCaY6eHgiudKdzSUDTAFev1fXrX4SmLjNsW5ZS29Q0zSte/bw8LBl/A5k/F03VCIwsQ5qCGgc3lm7brvKvlBQdpbMsaJyJKN+9uzZmfwBtldfl+qMW408NcApZ5edrjbw6xTIeSSDhIYZ26rb1jqL530SuOt8bJrT5W/qin/77bfx1ltv4c0338Tjx4+xsbHRrvfX+Xj79m30er0W2F955RW8/PLLuH//PhYXFzE1NdXqECbjKbjzxTBpi9nzlHHm4/Pc96a8uHIlwd3L81qLNdbGMhgMb2zz5MmToQ1tqEhcMS0uLg7tIa7groqFMVAHmr29PQDA9PT0mYQqVVDOnsl0PFM4MWd+74Bciw0ruKsxkIAwGQh6L2VLCrSpX/T/FP9O/7uHgZ9ez1oYwr0Q+ntinP5ecZW9MnyOU2W47Fu9h2bK+/2VxREoyLK13Z6sRc8QDUmeS+bvy8aSkUYQ1WRBz2jXvBDvXxoReg4NFDVudMwDp7vpechJXecK7umVsDpO3Jh0406L1iEBuyfPMcyh4TLKW+PsTJ7jfhqPHj3C22+/PZQ853NxcnIS/X4fS0tLePDgAV555RW88sor7fay9OBsbW2dcccrsO/v71fnaArZ8Xs1sEaViwb1G+Z+TcD9nZY0sVXJcWMbgnu/30e/3z8D7lNTU617nqxClw8lZqtr4YHTjXQGgwGePHnSKjEqF2B4WZhOUO5JT5BPMXeNE6sSTy8G4fl6HeuY3O/JVa8yVVD3a2pKNhluXco4FfdM1IwZl2mSCQFMl7jxYB+4m57/MzkyMX7tYw3JHBwctPf3XA7vh1R/utb5+8TEROs1GgwG2N/fH0radGOrFjpwcE/r8d1gYp0U3AGckYW79zl2FODZdv7mxpZmzKc5rol17q3Rouvfk3ue4K7jiCE4zkVez3m2t7fXZrG//fbbePToEd566y2sra1hd3f3DFvnfZhAd/fu3TbO/tJLL7W70DFvZ21trWXtBHhd0647Z46aPzr3fB7WjO3LUG7A/YqDOzvwPKw9WfJ+Tz2XAEj3/JMnT9qkOlXuVHRkEcygJ4N3EKHi4a52Dl5HR0fY3d1tFZcyraZp0O/3I7jy05VtamuKFY7jku8CxwTUvA+VMxW1x/jdjc/za/1TK+7dYNvSS0AcGJNc3OChUq/lFrhSZ/HVDu4FYLx9cnJyaCkcQcvfTObydwZJpk8wUjc2k+3I+N2II5iR1evyNN8mWQEwgbvKVOeUxq09hyFluvtvOka1Pula/1QvlNZRDQqeyyz6Wn6BGsxsl/Yfn8UQy9bW1tDyNLJ1BXYtk5OT6PV6bQLdq6++ildeeQUPHz7EysoKer0ejo6OsL29jcePH0dg1/XsHmf3OeVzzgHerxuXzb/X5UWDdSnlHwP4OwD+CoA9AL8H4EeapvmXdt6PAfg+AEsAfhfA9zdN8wX5fRrATwH4ewCmAXwam9kLAAAgAElEQVQKwD9smuaRnLMM4GcB/G0AAwC/CuCHmqbZGbe+VxrcWcbpxC6Qq12vVv3BwUG7rGR6erp9DSxj7gR6Lo+7ffs25ufnh9zyiSECw+tk+VwqX68blYzez8FRGbwrXG2vg0HNANEYamLANfatJSVs1Q4q7lqfOStObUsM1uPHvvZc71GTC9vCLHj2mY6XBPCspwNYzdWrAE9w7zJOurwTvgOeGz1aZwIWE9wAtPkkBHhl2gpgXX1Bg47jTsMMnpio8nHjyMcIx4DXKbF27yOvcwJ33t8NiwTwTXP6Vjs3igeDAfb29oYS3egq39zcbMeky62UgqmpqfZNlA8fPsSrr77avhRmYWGh9cYwzs718dz8xveO7/KU1YA6yXJc5n4RjPhdYu7fCuBnAPwfOMbO/wzA/1hK+bqmafYAoJTyIwB+EMD3APgSgJ8A8KmTcw5O7vMxAB8G8B0ANgF8HMfg/a3yrF8GcB/AhwBMAfhFAD8H4LvHbc+VB3cFAf4PvBhr0ie+uuep6Jgt74xmdna2daOpAnaWSCWl65BZ6KLf2dkZYgaHh4e4c+fOGfbrLlBlVK4o2aYag06y7AKQNJmUDWpRxZJYrz67qz+7WL3en0zK3dr+GlS9p3soVC40dLQP9Xq9R4r9Eow89q6xYgV4uoCVgSfWngwn9Vq4YaNGgstfmbuuDNHQQmKv3hdqSFJWo67l8xMD9/bquTXWXvPW/f/tfWuMJcd13lez5Mzs7rx2NUsuV+IupTAW7B8xDCqSBZuxQgpQpASyDAF+IVAsIYhtyYIgwA8IECLFChDYhglGthUYhmLZCKyAkS1YsSUyIak4tkKJgSLHT8mmI0d2lrvkcmfmzsydndmdrfzoe3q/+82p6r537p372D5A4z66u7q6urq+851z6hQr2MzM9Vmm/lcxcDeftj0fa/utra0yd4aBuiWmseur8mGR8WfOnMG9996L8+fP4/z58yWwHzt2rCuAzoDdfPhra2td095y7xp/H1c2XleGAe4xxrfw7xDCDwF4AcADAP6g8/f7AHwkxvg7nWPeAeAygLcBeCyEsATgXQC+P8b4e51j3gngz0MIr40xPhtC+GYAbwLwQIzxK51j3gvgd0MIPx5jvFTnfiYa3FXDTZmaPLNS6kGmXlp7SS3n8+zsbNecXA4s4gHQ8s8ziDKoAcXA12q1ysFBGfy1a9fK3wzwvJ04ccJlwQYSxp5UYUmxds9ioICR8tGzmTI16KeeZxWbUPOxVy4DOwObgjszWa/uKcuI1kGZJg/S2re8c5UFaoCZMnVPIUspTAowqfXlrXyugxc0pwGeOXDn91KPVXD32omPszKVEZtUKQvaf7y2MqXNjmOXhZWt74enRNoMBZ7tYG49A3hbQVKtZKxo2tLSq6urOHfuHM6fP1/OZ7dlXK9fv45Wq1UCu02jU3M8Z8tMATtLTilqpJQVABHAVQAIIbwSwFkAT9kBMcZWCOFLAF4P4DEAr0GBu3zM10II3+gc8yyAbwewZsDekSc713odgN+uU7mJBXcF9qO4HjPpmZmZA2Z5bxC06HoDWGaEXLa92Ds7OwcYhQG8DdS6gpaV5bE3M9F75kq1JKRM6wpwnpk3BXJVzyalTPGA651TdR4rLSnG6tU/FafA7cMAPTMz0zX1KXfPCmYcia3BdOZ/NzD2AF4VRQUc7hPcFjy9ThPnWH00WE5ZsafYeM+JFTQGeT2f2zvVjxgE1SzvPb/UM+B3i9+XlNIG3Ip653eG25YT0ljAnLfZ/HJzh5gixfWwelrOeAP2CxculAF0s7OzuHnzZpn45vLlyyWwW8paW/edLVQpApSTSQT2YTB3llB0jEcB/EGM8c86f59FAcCX5fDLnX1AYWrfizG2MsecRWER4LrthxCu0jGVMrHg3q/kOncVGNkLaAC/vr5+IBe2N+fX5sQbgze/F9fBrr2xsdEVZMcKQYy3Fpoxlm8DyvXr17tcALZZbnPzEfP0IQUJq49uyvA1jsAGqaqB1QNGPYcVGz6u7nNV5YaZbso3zaDjWQu4Lql2Yd+xB/QxHpyqyNfie2Qz/fXr17uC6bjdvWC+qmfI8SG7u7td8+mZ3em8eW0Hj6nrsZ6iyGXocd41tI8YCPPxHih7dbB2mJm5lTnOq8P+/v4BRcGuywxdk/wYqLdaLbRarZKp84qRbIJnZZsVR5vLfubMGdxzzz24cOECzp8/j3PnzuHUqVOYm5srzfxXrlzB5cuXcenSpRLczZdvWQkV1O1+q6QfRYCfySiVgipwt5gElr/8y7/E/fffj4ceeqjOJT4G4FsAfMdh6jlMmSpwTwFLzvSUOk/ZBLNre0E3NjZKBm9R8xqxa98tw51FWSsT1DowQ1ZmzQFiPCh70+0M4I3FM0tVgOB2UWbCJm4Gd24vb8DVdtZB2/Op8rnMbnOSAjMP2KtM7XwPVYDhAXwvlgu7Lx7sOWmKRsprrAD3Ja8dtK4G7jduFClr9/b2cOedd3alljUAZHN4XZD2vntleJ85gOfn4x2Xqg8rZHZfytK1zvxMtVwGd3v/eO31VquFjY0NrK+vo9VqlWZxDo5lC40+I4uMt1XeLly4gPvuuw/33nsv7rrrLszPz2NmZgY7OztdOegN3G1KnQXQqQKo95N6Z3uRlBVt1JKrw5kzZ3DmzJmu/+65555awB5C+EUAbwHwYIzxedp1CUBAwc6Zvd8N4Ct0zGwIYUnY+92dfXbMXXLNYwBO0zGVMrHgrtp6r9JP5+OX30zlrVar9LsbuHNCDwYn08hXVla6Bg9+8UwhAFBq+xzNbSDLfnhTOGwQWV5exsLCQjlFxjaumw56+vKzxYDB3DNnM0BpWzFw8j3mwN3YLbsymPGa5Jiibro/91vLVaDW+rK7IhVJnRsAuf3YDGxty/5vVa68WAl9rqrM6L2wsqWZ6Dxlyc5loMyBvFcH/o+ZawrgbUu9tx74a3lWX7aa8HPkc4y9a/9g9waD+sbGRjmtzaa28cIsdn1W+LUNLE/G6uoq7rnnHtx33324cOECXv7yl+P06dOYm5vD/v4+tre3ceXKFVy6dAnPP/88nn/+eVy+fLnMG99ut5Prs6fabdAy7sw9dU6VdID9uwF8V4zxG3L+10MIl1BEuP9R5/glFH7yX+oc9mUANzrHfLpzzKsBnAfwTOeYZwCshBC+Ld7yuz+MQnH4Ut37mVhwz4n3kAb5oO0l393dBQCsra2V04VMI1d2euzYsRJwT548WZbBAwuArkHMQF5fVHMNMCvV1ej29vawuLhYpsrluAAPVO1TwYEHM03IA6QZdYpd5Vi7KgwM6OxO4E++XtWWq18K4BW4FDyU5XkAn1IMUoFiDJ7WDseOHSvBXQMadcaCWlzUPaF9zXtODHbcD9iU7IG4174euKuyoAqKSpUlhPflBnZuW213T9m1mAr7zVYzM8Ovr6+XK6+tra2VAGvJgqx8zbzH7/3s7Gy5fCv72F/xildgdXUVJ0+eBIByOq4tLmPA/sILL2Btbe3A0rC59qwrrOhVCT+DYSkOdWQY4B5C+BiAHwDwVgDbIYS7O7s2YozXOt8fBfDBEMJzKKbCfQTA36ITBBeLALuPA3gkhLAGYBPARwF8Icb4bOeYr4YQngDwKyGEH0UxFe4XAHwy1oyUB6YU3FWGoUHa4GnT42zwtQh5DWBjRnbHHXdgcXGxiyWYqOnaXhJTJBhYOKWtmVV3dnbKbW9vr2s1u9nZ2TK1KTNDZV1q0tZpVDYoaV29wVWBUYGP25LPMfeFzqOu8uvrM+rl2VcxHA9cWDkL4VYWMmVpVm8e0Fnx4Pvj69l36ws8vz41LY4Zpm1Wt1QbKcNmQLN7OnbsWJcrxuqWanNWFLw6Wbl2r14MQUpJ5O/K2rmdvfM9ZUqtMVouvwu2hO7m5iZardYBxt5ut8t78foBKxBm0VtaWiqB/d5778WFCxdw9uxZrK6ulsu3bm9vl6vGGWO/dOlS6WfXyHjua4OQKoD3lOBRAvwQ5EdQBMz9N/n/nQB+HQBijD8bQjiBYk76CoDfB/DmeGuOOwC8H8A+gE+hSGLzOID3SJk/iCKJzZMokth8CsU0u9oyFeA+CKbe73XNPK/mUwYi9cEuLCyU01zYx+kNODwwcMS8DoAGjsbaDeBXVlawtLRURu1zNj2NgrZ7UrZm4M7T9Dzg8tpe7yUF7EA3k+EpfPZbzam555IDCKtXVRnK3lPM0eptIMrKiQG9Bk9ZuQrufF1l/dyfvLSnGmNgLNNzDTAz9RLoqPncrDfe/atSp+DOVgSevWB9isE9dT9WXspSxG3JCrDWy9un98nAqIzdFnuxvPDG2jc2NrC5uVkGzdnz0qmD3D9mZmYwPz+PEydOYHV1FXfffXe5EMy5c+ewvLyM+fl53Lhxo0x+4wG7KRV2bbbi5NqKJfeO8PF6ripYqfKPWobB3GOM1ZG9xXEfBvDhzP5dAO/tbKlj1tFDwhpPpgLcVY6qY9mAcP36dbTbbQDdfjVd0Y1BbmFhAXNzc1heXu7ygwMHGS5fSxPd2MDDvvhr1651Tb9pt9tYXl4uzfS8VG1q9SwFdg7i0uxkqahqEwYkzzTJm4m1n7Wp+g5T18sNWgrQDKh6jscKleHx8WZ+3d+/tcKf3TOzZ75vBXQDfv3f6xsxxi4FiFk3M22ri9WT68r9TJPk2LNgJu8pCNomnkLFwMkR5tav7P7Y5WPH8/XUlM7XUOWUr8tsXNtK/f9eLAO7vWzd9VarhbW1tTJ4zfzcrIxyjAv3QSMC8/PzWF5eLhn7uXPnysxzq6urZcDd9vZ2uRzspUuXcPHixa4AOrYW5Pzsg2LRqoSOIzsfBrhPmkwsuPML3K+m6Jn4tPyq83jg2t3dRavVKl9eZe4M8jdv3sTJkyfLufA8kCmAmKZ/7NgxbG1tAbi1XreJDV6maDDY24BkAG+L3/A8fSvfrssmSM53zYNWKqe4iQIHuwOYsStb4sHDWOQgXzytb53BicE9VRcFeC+Cnj/5+Xobxx9o/0nVTZVIrjMDG/9mSwBHcbPY87Jr27FaH8937oH77u5uyTStfru7u+U0L3XzqHWLn5v33nj3q3Wxd0QTHbFVwUDdVnHb2toqwX1ra6tcZY2DENmKx8qsKdPG1hcXF3H69Gmsrq7i7NmzJagvLi6WlrqdnZ3SFG9R8czYzRTP7c7PrKp/p5ThqjE1B+xeHUYh0wbWvcrEgjvQDfC9ig7uvWif3vVMu9/e3kaM8YDZOzUonThxAvPz82UqSb0nZYzArVS4ykjUvGiDErN4M9MvLi6W17aAOwZes0iwn93AlsE91W4eW1fGnjKF2jHM2PvRxLmtuS21XasGwRR7Z7Ey7H6YvasLw4BUr1EX5NkCoOd6rg+rnzJWnXfvTc+ye7LfPMODLQB8DQ3ws/8MTDWRjik69t/u7u4B/7S6f/SZeM/D21KuC66TbezeYmC3d8mO4X7L74dmrbQFpxYWFrC8vIyVlRWsrq7izJkzWF1dxalTp7qmyxpjtwQ1xtYvX77ctcobm+LrShV4p/ZVKcXjBOwNc7/NpVdg94RBdm+viJtYW1sD0A1UHjjEGMuXf2FhwWUbOmgDKBk8s2runByJb+zDBqjl5eWSxVvAHecNN/Zpg5+Vq4OWMf1Uuyqoq4vBBnuPtdvAngJ2NgvqdfV7iql7IJm7H31+Xp14oDf2zpHmDIietSgFXqboePVQps7tz2XnWLv9ZnAPIRxIgsJlePVnNuyZvD1AtXbi/mWiCaG8+/aE6+sBu5eW2NLEMqC32+0u95YFqjKgKlu3abFzc3MloNsy0QsLC1hcXMTy8jJOnTqF06dP4/Tp06XLzBi7TXd78cUXS1C/dOlSuTZ7Lq1sXWDL9WM9po4chmw1MniZSnCv2yEPy9a1HGMou7u7JfhyYhK9pg1Od9xxB44fP14uOMM+TwV2O8cGPNPc2a8KHGTGzORtCs/y8jKWlpawsLBQsngbTPl8Zp5eKlJtH65zavoPg7uyQAV2fga8pQanFEPn/5kZaqCePiMewO27Xp/PV/bOfnc1y3MZXC6Xp8d6ygr3CWtrBh3Px8xtyQDP55qip8d7gMLPVP3WDKx6jFknrl27dmAOuFmUvNgVry28fqLvAQf0MVvnmSYG7AbolkOCg0pZgbVV9AzUGdAN1E+ePNkF7isrK1hcXMTi4mKpVLXbbbRardLHzmllX3zxxTI5DlsNqtxWKUWY+3rqfLVq8W/vHFWqRiUNc59CcD8sCwd6f8iqscZYrPLGL5UNTCmQv3nzJhYWFsqFZtQEy4M3B7Gx2dPTnHlws2hfW/xme3sbW1tbpZnerm/R/rYZU1fzcoqBpsBGQUABR5m0thOXUeflzdWNAZZN5CmG753vMR67Dw6gM4C3jRmfWgJUcQC6o/Bz92mmdmW6BvAeOHuBinwexw4wOFuf4yAuDkbz8uAD/kqEVnduVwNhzfroKWvcLimFQ4P5DNAtANWUXgZ0ZelqlTGmboBuQG4gfvLkyTK+xT4tU6W9c6YQXL9+HTs7O1hfX+/ysesKb5afXl0ffO+eKEin5DAA59VjVIDZgPuEg7s3+PYjOQ20lzIYbI1Jb21tHWC5nhndBqITJ05gZmamZPAM5h7A2iBjJlT1dapVgZWBmzdvduXE5qQ3vCJYzkTOgOyxZbtfG8A9YPHKZKUmZ3rlNmdRkEqBAoO8d653PQVk3s+fBvK6magio/ekoFXVz9Wfzook+4MZbL17ZqXEwN1+m1j/0Zz3qcVtdOD3+r5NITNF9Nq1awfSOeeAnctXa4GuiGdMnEHeW0iHFU+zIth7YWtGGEtXID9x4sQBBm/77VwAB7Lc8Xrstib7xsZG19KtqXb1+pM936q+VAeQq5g+H9cw99HKxIJ7ziynUqXN9nquvij2Hx9rgxUPNl6dPdC0SPbl5eVyQNG1vm2wtoH45s2bZbpa9ZEyWFi9bMCzKGDzKxrbYF+hAYJX17qDrXevqRcwB+weMKSAmcvRiHV7JtZ2en1VHBnYNSiQhf/zgJ1ZuJatoveVG7xjjOW98LNSV06uzb2244h/VU51RgUHX3pt492D/ccKn/VLzwKhzybF2tWaYBH67F/n35zHQdvPAN1YOr8b9r4YUzdAt0BVO5Y3m4YaYyz961evXsWVK1dKUDe2/tJLL5Wru6VyxddhynX6Uh2pYwEYNbCbjEMdRikTC+7AYILhBiUKojzAW3Y5jYbXgZaZRoyFH/TEiRPluV7UNQ88lkiDFwCxcj0frwXbMVPa3t7uMi2aT7yKPaXAKcXUPJZbR1HgutsxCo4eSHlxC8yc1TTPG5evn969clme35mVCquPPpuU1UAHrJTCxODEwGz95ubNW8sB8z1zG7CVwdrIlBMDUJ1Cxu4hD4ytXqZopjavz3DdUv3CY+083U03dRsA3e+aBccxSDM7t98G6Da9lFm9gbyBOoDSWmDz5S147sUXXyy/b2xsoNVqle6B3Bz2unIYojNJ0jD3PsA9hPAggJ8A8ACAewC8Lcb4Gdr/qwD+mZz2eIzxLXTMHIBHAHwfivR7TwB4d4zxBYxQDvtwvQHYmAgDrIIKD0gegzdTvZroeWNGr5G0Vjerg3dtY2BmpucAIrY65HztXHYK7HLtnQP4FHgxAOfKUlDXMtg0r9dW0FX2kgJcDuLizRgxt5uW6zEkD+z0P3XLcHwG349GyXuKmFoFlL0rcDLwqLWE24/7uVmQNMWxJmTxlETtF9r2XiCf5wqytrH3yAA9B+o8jdSA284xHzyDvMWxACitZZa61sD8ypUruHLlCq5evdrlX1elKaX01JXbBeBvd+mHuZ8E8IcAPg7gtxLHfA7ADwGwkWlX9j8K4M0A3g6ghWLFnN8E8GAvFeHBeVzEe0EM3HZ2dsr9DKw8mCswALcWlbDBR4Gdp99wdHG73T4wlYkZL4MxRzGzH9ISjaQYgw6sGjxXR4P2WHbK5MrKSkoR8Bi7/tZ24OeQUl5y5ka9V7aaeIFnahnQfpzr0x748qcCvD0XVUY8xYcVHf3PRIPn7F5DCF2uIg6mVFDl2RtqJldWbc+9Drjzf17b8P3onHQFdPaTKwNXMOfpbwzuts7EzMxMOW++1WphfX29NMUbsNvCM7yiXG4Ouwf2/cq0AXvD3PsA9xjj4ygS3SOkR6DdGOOL3o5QLIH3LgDfH2P8vc5/7wTw5yGE18bOyjiDkLoPq+5x3u2mBnz9j03fOtDGGLt8lco2LFXt7Oxsmb2KA3tSQH/HHXeULJwHfI/FcV2U0TO7UlZldTCWqOw91Y45M7oCDreh1S0XXMXX5YHcWDMDPH96bcP3krqOxxy5vvpMvftT07XXZvydrQiqHNq1VenieqfM4FVMWNcZsOtz+XxfVjb3HWPoqUC2HGvPvWteW/Lz5pgV67cMxMa02VeeA3NWCPS7KdkAyjazJDhXr14tGbt9Wn76ra2trneWlSdPtD08Ba5XGQRZyinCRyENuA/P5/6GEMJlAGsAngbwwRjj1c6+BzrXfcoOjjF+LYTwDQCvB9A3uA9Tg02xKh1cc+Xa4MjpYXlw5RdTBzgAJYPgwYRN8jrAsOmVU2RynRVk7FqcftMCnDiCmIOq7LeXI5/bzGPC9lkVCc2Mj6Pzc+cogzdfs4G5AnoOVOsocR5LZGDk4DQvsE5BOtWOHrDrufxdM+JxW6pVwQN2O5YTv7AZ3hi7x6B5brlmgOOANmPsntXBa2uvXQB0xYbYZgowvx8G2GZyVzC349jtxQmccsBu70GMsZzitr29XeaiZ7+6meBbrVaZ9Y7fMc9ioe+Rt6+O5acfyZWr7+sopQH34YD751CY2L8O4O8A+DcAPhtCeH0sWu8sgL0YY0vOu9zZ15dMwoPhgZKD7HTw9+YS24Bq/rvjx4+XwJUabMxfPz8/j83Nza7AHGZkQDfAsuzv75e5q22wMvPi7u5u6YPkwZDN4B7gsij4qp+W203jB6qYPtC9kpqyOO4zHFeQkiplwupmQMsbD9QeI2WQ1vK07bx6ete1+9LAOK6TNyedP3kKmc39ZvO53hcrC14WOFMW2fzOyqLXpvwc2RLjPVOeWcLTORnU+VNBWWensB9ey2MF2/bbMzCXVrvdxubmJjY2Ng4w9qtXr6LVapXvJifJ0X6S6hNV/bXXc+qWV/f4QVgB+pVJwIRhysDBPcb4GP380xDCHwP4KwBvAPD5QV+vc83sb088wDmKzmCDGKd1tfnDngmXB8r9/f0y2YwtOKNRvWpetKk3s7OzZS5qYwc8yHss2urEplKeSrS3t4fl5WXs7e2VSsTs7KybdpbN9R67VpDW49Q0qYzXY/8mHnM3RqtMNSVV1plUOR7A88bBfV77pOqi1/aulWK/Cu7c1/g/DrI0oOJgS07uYsdzYByDui7z6kV+a3yEKn4ac+L9p+4pBnYGeF0R0YvN0OBVBXY2v9u59q5agij1r7/00kt46aWXsL6+jo2NjbJNNShRn11V3/T+yymKdco4zHGjloa5H8FUuBjj10MIVwDcjwLcLwGYDSEsCXu/u7PPlaeffhoXL14E0A049oKNWqrMtmo+tZfYWDGAA9m9mFHxtKMbN26UkfTz8/M4duyYO6eW5+GaSd/8eu12uxxQ2KLAJm8GWrM28Px4G8BOnTpVrhlvLJ5jAXSBEo+heiZqaz/2jadMswoIFtjF+zzG7pmh9dl5dawyT/Jz57IUfNkC4d0X1yXF2LVcBuiUpUCVDQZ0nr/OWdwY2HlueArUq6LfVSljQOV55WqRYmD1Zo3kAD81e4A/9Vy+njJ886tzTM3Ozg42NjawsbGBtbW1krEbW2ffOrsj2IJRF9i9PpPrTzwGDVusT7BifvHiRTz99NN46KGHhn79212GDu4hhFcAeBmA5zt/fRnADQAPA/h055hXAzgP4JlUOQ899BAee+wxPPfcc6UpWpcQTUmKFVUx9pRG7P1ODb5e+TywMYNPmeJTg+fCwkIJ7sbic9G+9t0GHmbxaqr3BoqbN2+WgxEv28kZ7my1ObYY6EBowtPPtK08FppqX2X+dh1WTjyTvJVtx6eYbkp0ENV+poqAB7BcD88twv1FFYEUSHssXEHeO8dbIY1B3Tb1k3M/TQVecruqaV2BnAPcePMYM4M5l6n5INQioM+a+4/61hnU2Splz8QUIcs0t7m5WfrXDdAN1Jmts+UjZ/mpIymXjY6NvQD7YVk6Z860ezx37tyRAHvD3Pub534SBQu3J/+qEMK3Arja2T6Ewud+qXPczwD4CxRz2RFjbIUQPg7gkRDCGoBNAB8F8IV4iEj5QWujKWbZr6Q0Zn6xmZ1zWk9l7sycbNEXW0oyNSfXktIsLCzgpZdewvz8fJe/j32oPPDxoGj3YQO4Dfy2vrWtNmcL0li9LKrezk+BvAc8Xtt7z9mO0URBXgpW28fAbs+CmVNO+ati8an/U5YCT7GwcrgOntXBA2kFeA/keZ/6xQ3I1RSfyuzG1+RraFsZ4OpSqLbGufVVDnRjYFf2rVMnvWdiv1MWGzvGFAWNetc8EmzNunHjRqncmm/d8sMbsK+trWF9fb1cWU5nG6Se/6SDTR0r17CkAff+mPtrUJjXY2f7+c7/vwbg3QD+HoB3AFgBcBEFqP/LGON1KuP9APYBfApFEpvHAbyn14rkOk+/D8pj9qnvvXYgHuzUNKnleQFNOqCy7/vGjRtlcI/NiTezPZvnGeTN72eLyBibYFMam8SZHZgyYlN2LCp4a2urZC+2OIYN1paz3jKjKdjqAGfHsL+e21KtC9yuALqAnZ8dA70XtORNPfIsGR6gVLF3q7v63Pl/VqS8/qPH58BdXTtewJsueaorpPGUNfWdp6K6uY3Y3F6VHEann7Hpna0vueeRazPv2TBbV9O/ung4vsCUW+vv6+vrJWNnUHHyXssAACAASURBVLd3wtq5iq1zHeuOL0wevPP0Or0ALpeXUj7HTRpw72+e++8BODja3pJ/VKOMXQDv7WwDk9SLnalHZVkpgD+M5F48G7AZwNncyf8r4JtJ3AYnZkQK7ouLi+VAZHNsLdWlTXvTrGPWBjzQGUCwed588cb6lpeXy1S2Nmgba1ZgUAafioLn58FxAsrcbb+CjZXtBbTxs+BrpYDbq1MVs/fu01OktC7KvE3J8sDdS7fK4Kzmd17LXNm65z/PASaDJgd8Mju34FC2PhlLZ0CvaktPUu+YPh+dQurNUwe6Qd0sGwbqxtYN1K9evVoqztvb22U7eqCudT2M2TwF7HodvZ5Xlnde1bXGCegbcJ/w3PJVoppsr51PO/4gTP/ei8zl2gBiv20gZZMoTyVS1mVM2ViPgb2BvC03aetJnzp1qgR4WyvaTPWa09rqz4O3/Wf+eM9UaSZ7XTuezZ77+/td/kyNYrb28sDT80WzKPvngV7B3awFfL96vdzmDdo5Zc6ziHiDNisCnlldwV2VQOszDNj2nf3pvN8L9vL6gQK6snRj6Gw14oVWPED3GDp/5tpV24yF66h+fjbBW39hC5r51W2hJQ6aM3A3UDflVtuwH9DxJDWW9TPO1ZWclSF1/LQB5iTJ1IC7p0UqsFd1+hw7rAL4OtqwNxh55XEkPftE2d/uffJmIGoAamu1G8AbuG9sbLggbykw2+12aZL1BnfPRMzKiIG8Z6o3y4IXXe9NUbKBOQUqVh8vYC41d94rRwGXn53HIPW8FMikNg0Y9PqNAjozSWbrzMp1SVNl59pnNAqegyz1nWDmy350A3VdCpUB3UDdzO+ePzv3Hqmo5cuzuiioe1PkrA7czqwUGai3Wq1yihtvBupbW1tlW+qUv2ECO7dHLxaOOsd69VdryLgB+bjV56hlasC9Svpl7XXE60T9vlxcljF4M9PrQK1rT9sgZIO3DabHjx8vWbwxqJWVFSwvL2NzcxOnTp0qTYtqVmy1WiXIa/KSFANmBrm7u1sOiOvr61hcXMTS0lLJ4jkIUEHei3T2vgPdq50Z+1azt/ruGQQ8q4B9Tz1fb9PnaICvrgdWILwBNqU4edPWNC5DzeztdrsrMM4+vaA4tgzk7pPZtT0vY+lsdrfNQJ196TyDotf3s0pR4n6poM4JbJitWxnsarJ2NOW01Wp1meHZ2qUm+JRydBTSK8AD42VWP6w0ZvkpAvfcg/HYQOr4uswhZ/arc63c9XmfTlEzVsxArotv8BSmdrvdxZR0OtGJEyewuLiI5eVlnDp1CqdOncLp06cP+OJtTWlm8jqVR5m9KSUG9ByAtLGxkWVzmvrTm+KkjN7zXdvc/VSCGwUFNdHXeUYpMzqXkXIbcACd7lfQ8mZOaHS7+s0Z1L056mwFyDFej6Vb0KYGbupz5SA5NnvnrGnaRql2Sb2HCuia0EbN76woMahzMhpTUM0cb8Go1sbcrnVN8F6/4P7lKZeHAWOvb1f157pl9rt/GNKA+xSBuyeHYet1TYI56aezqLkb6F6xbW9vrwRYG1TMD8+gb/s1Qn5xcbELQE+ePImlpSWsrKyUy1Baqkz1I9pgxsFyDPJ8DwpI169fx8zMTLkqlkVLc2CVfTLIa7ISG7AV4Pm3bQbsDFAK8jnA4P9TzzVnQlcm6bWP+pX5erm56AzqBuQ21co2ZpIcFKfsXO9F2bl95/a3OA7rX8zSDdj5GSpLz7WptpO1hdem+nw807vOk7f511auMnUODDW2ruZ3ywXPU9tSMwc88aw23n/eeFBXUud4bW/XmBb23oD7lIN7v1KXsacGpH5eFNXUPdAwALX9HKW+s7NTmtoXFha6WDwP/tvb2wcCmY4dO1b+Pn78eMnk2QTJAG9mSMuyxfnGzc9omwKWWSIsla3l3jag58Q7nIUvtaCHx+YVwD2fvZcwJsUIPWbPA7kCMLNhe043btw4kM7UcxV4wXJechkDIlOy7FN96V6GOO5v1uc8k7umXrVnodkP2f1jEe/qXkm5nnJtzu3hKV1aZy/yXU3v1h+ZqVubmlLEJnh7B7jfs2KbmtpW530/aiDN1S1Xn0EoGkctDbhPCbjzi1710tQxk9mnZ77tpT656+bMkSmlAuhehU398Da4Ly8vl+zdBtydnR0cP368ZPMcrWyR6zYQWkIcM9XbdB8Deh7sLICIwYWzl3mRwjywhhDQbre7pu5xQhMDEvvUIDweuBkwc+CeMtFzO+cYvQK5N3dcA6kYgLiuPHCqksDTHz1/uoG7PXvrCxwtb+XyPXEfV8uHAroxdE0yY33I/uNnom2cal9PWdL6eoo0PztOV8v+dHbtMKizBUyZuvVlBnX7bvt0gZc67hxv3OCxqgpYlcmnxgZ+trlrp0TrkXIX1AH4SVECepEQwoMAfgLFyqb3AHhbjPEzcsxPA/jnKPK8fAHAj8YYn6P9cwAeAfB9KHK8PAHg3THGF+iYUwB+EcA/AXATRVK498UYt3up70SDu71Qdf3cdaXKF9ivRjiIzs4AaQOVJZAxU6wxkOXlZZw8efLAQGbsxMCdWZeBpbHmxcVFrKys4GUve1lXQJEBPbP4ra2t8vqahzzFHmOMXdP62u126ctlYPHS6XprbatP1/v0kqCkmKU+P4+l6/zxlFJj19PIcLNkKEtXUGdFTjMVssVEQdJEQT0XbGbtywlmONFMKr2wZ2LmZ+1ZPRTcvfdE/f65hWE48p1jLzRlsgfqzNAN1G0pVk7VPOhgOQ/gewHTcZJxMe0Poc1OAvhDAB8H8Fu6M4TwUwB+DEUSt78G8K8BPBFC+OYY417nsEcBvBnA2wG0APwSCvB+kIr6DRRrrTwMYBbAJwD8MoB/2ktlJxrc1ZyYA2Q+x3thvHNzA36uTr1KP+Z7NQfzvGZjdO12u2tuuTGsa9euYX5+Hu12OwmaNkDawG1m86WlpZLNG6uxwZBB3mPzbCZW8OOELHasmlk5qxmz/FSa0tS0Oo+9V7li7NPam++hasEUBS4GPi2T24eB2ytbs895YKMWCwVz85+zyZ0zx3GfUEBnt4iK5yP3XBkpQNc6V634xvt4jroGHbISbOZ368sK6GYVSYH6oJR1u1+1rKQYf53yejnnsJIaO0epkAzDLB9jfBxFNlUEv1HfB+AjMcbf6RzzDhRLmb8NwGMhhCUA7wLw/bFIBocQwjsB/HkI4bUxxmdDCN8M4E0AHogxfqVzzHsB/G4I4cdjjMnF1VQmGtxzoi+LB/D82z6rFIVh1LMfUTM9J7uxQKDNzc3SD8+BTru7u5ibm8P29vaBQV1ZmgG9HbO4uNhlKeBB0QN6DfLi6H4v45kN9jduFMvgMmNTdqkAz4ySzbMe2HumensenmnTthRbZwD2MrqZpUUTwngWAFYavEVYFDhT/UoBXQExlQLWm7mgCV5SSpDHzrmPpkBdn4XnHuCV4dQtw3kO1JeeYum6WUyKrlmvfXMYkjPNT5qkXJtHKcMA95yEEF4J4CyAp6i8VgjhSwBeD+AxFKnb75BjvhZC+EbnmGcBfDuANQP2jjwJIAJ4HYDfrlunqQD3VCdiDdjThgfZ8TzXAP9Wa0HueBOua5Vp30z0zAQNhDl5jM05Zv81+2+3t7cPsHlvGpPNSz9+/DiWl5e70s4yEzKAZ5DXqVk8kKaWv2Q3xN7eXhdYcVS0fuqcZgUpb2odPxMFK03lqnkGUqulpQBO/0vtZ+DUPsxbChh5yppaPNTFkQJ0bh8v0C1latfofHsX2FWiwYa6zKq31KoydJ3KZqBufZDXPfCsTLkgRHUv5N7bnOTOSbmD6pRZ59ycdUrP5TJTn+MsRw3uKIA9omDqLJc7+4DC1L4Xu5c612POAniBd8YY90MIV+mYWjIV4D4MqfOgUwqFx/w0MCZXhp6j9UmZ79i0bZH0Fo2+tbWFpaWl8pNN9TqoczISBnovmG1ubq4MvjMFQQdRA3cGeU6uwlP6GByVrXKgGXBwGVddqrMOwKvZ3vO/G1B5Znj1tatFwrsPDwQVuL3nzc/cC4RTds5gzr5ydWuoaZv959oerHClzOzezAJ+N7TdPVO7t2a7zi7wprGxkqqmdwZzVjbNkuTFSSiw6zta9R5X7fPK7bWMVF/h/1JkwrunnLLQDwCOgr1Xgbs9f5bNzc2pWmt+IsHdM/ukOmU/oi9DXS3Q890qsPdSv9SL6l1X9/G8W2OVBvStVqucV66rthkQmjkzxfbUZGuDsEXa6yCr4K4bL1aijN5jUqzIGIgao2c/LYMH/2bmnmLv1qbKotVU7q28pkxcWW6ODelAzHXigDLODMdT1VKxCZwdTl0VqtjYND7tex4r599cb6s7R9Cr39xbO52fkdZJZxBoJj4Gdd3M5M6KpMZGpCwkk8BWhyXTeO8244Pl/PnzhwH2SwACCnbO7P1uAF+hY2ZDCEvC3u/u7LNj7uKCQwjHAJymY2rJRIK7So7lpoJTUkCbA2FmzF55CuwpgPfK7Fc8U5uyJs41zgu62KDH2cQUCHhhDQ88OADP2JX9Nh89D77M2D0mXwXy3upkPCjbfwCwt7fn+tZTCXAUSD1ArvIfqzuBv1c9R64nm6uVmXMQnDJ0Dnyz56CA7gUVqjBQ83uVszZwfATXW5UsZuW83/Pns0Kl0wG9vmTAzr85Yx/PTddMclXmZ++d9/bVcbNVHZuTHPOuK7nzDjMmpWIxRiFHed0Y49dDCJdQRLj/EQCEIoDudSgi4gHgywBudI75dOeYVwM4D+CZzjHPAFgJIXxbvOV3fxiF4vClXuo0keDOL5/Hsr1jey2/6qVT/3kK2IdhWUhdU4XBhf2RvAa1ZhjjhCRsstUpR5bwxmOINnAb0CwtLXWtqqUsSwdhb+UyzanPQWscyZwzeXPbee3otaU34OdM6N7v1LPj56fmdWO8PC1QlSzPvM7zu3U98hyY871V3S8Dv7pGUiCu0e5ecJ49L7aOeHkcNAtfyjJk/UWnCtYJkBtXtppy641DfUdhfk9JXWurnpOTEMJJAPejAFoAeFUI4VsBXI0x/g2KaW4fDCE8h2Iq3EcA/C06QXCxCLD7OIBHQghrADYBfBTAF2KMz3aO+WoI4QkAvxJC+FEUU+F+AcAnYw+R8sCEgrsnOZ9QXW2SQb2qnJQCkALxHLDXNfl736uuoYM0B9sZ2Juf3Mz1nBPcm09un2q2t+8alGUMzYCfTfeWv1sZFi9HqivfcUQ6L37Ceeyrgti8tkn9l3pOnntIfyuAG7PVYD4FRF6OVIFbP+sm8/H6jt53Tjnl38rS+dpeumAv9wBbWlLJejxAV3eOl51P+4QCej+Dv0pKYdS2qiqjV1D0xqg6xMEbm+qMl3WsEikL4qhkGOCOItr98ygC5yKAn+/8/2sA3hVj/NkQwgkUc9JXAPw+gDfHW3PcAeD9APYBfApFEpvHAbxHrvODKJLYPIkiic2nUEyz60mmBtyBwURzps6t0pj5hc5df5iatvfSev9xIJKBK0+N0gx2nLzEC1BTVqmsnld8MwWAlQxvoNb1xb3IdI1Q1/0asc5Bbmpi9iKi6w4QqaQ4avbXSHada55qS09Z8ubw6/U98RTUlAXKywXAgK73oqw8ZWbn/uclllEA92ZbqBKYC8TU59jLOOEp1XVM2tquOUkdlxpLDmONrGNBrHt/qTFxkBbKfmUY4B6LuekzFcd8GMCHM/t3Aby3s6WOWUePCWs8mXhwr6P59qMdH6Y+LIO4rjfA5MqtGrzsf55iZQMum+01MxznfvfyvTNAqR9YTfbGLm2t+fn5eXeFMwV5b5nSOhuz+lTwW8qfnHumOSDXwL4cGOp0L2a/6pvOJeJJ9Y8UI9djUi6ClPk9lRgIuKVEKpj3ws4VyL2ljlO5EnpV0gYpRzXm1L23cTKZH4UMiblPlEw0uDOI1dWOPcmZkuoy7bodIzWoVlkMcgCfM8XnylT2yhHI7Xb7QLITXpo1BfI8lcmbW82me1MCZmZmyqAvu44H9Jx6VZfXVNDm/7xsbnxcKjguBwzK1D1QV4brmbC9Y3LAqgDuKRreMXX3ab1T9dBpadxWrFRp+tzUsrSpmRO6CI7HzvU5pdws3vPz3htvv8fEq8zbOi4NgtFWKeyepMaQYYHZtIHkpMpEg/tRSB1/U10zlid1TGUesFfVo5cXTAdDAzybWqYLuzC4s8le503rxiZmBXzOC2+/Y4wu01P/u5rdU3PKq9g5WzE8oNBnkAP4FOCnwFrN4ADcY3IsPWdB8CwM3mdKuVAF2DZWlDiOQ5ej9TbPFcMKnFpnOKGPZ27Xvt+L+X1apcpSM80APw51GKVMLbjXAcrcsYMw6VT5N/X/HHBX+f68gSynWOh/CmY2z1mjls0HagCtyVGUzaem1LFvnqdt6UIkFojH64encq5r+tYcyPO95r57z7aKMav/2wPXFANXcM8Bu3ddtRxwtHwO1HNKAytEusCNtb1GtXvTH/l/nQWhUx3rpNvl59SP4l1HvPIPU2YdQM2NA17dqs71AD5l7asSr4yUBbGXcgctjVl+CsF9mP61qoGkzvlVDN77v269+mXuXnlcVwP669evY2ZmBtvb2weywHFuejbda3IcjvL22LyCv2Zcs/owW/SC6zx/bCrIqpd2U2C3/1L7+P8UmAPdQXkpwE0Bskaup8zpKSXEe/bsrkhFs6vPPGdiV0DPJSdKRbTnnlOVcjxOMmjGPI6gNMxxeFjXH8d2PIxMNLjroGn/Af0/qMN0CDXh96IM9KI513ED5M6vYjneQMkWBo545rnzs7OzaLVaB/KW65Zi9h7o5/LCW8DZ3NzcgSl+qcA69bN76Ua1HVOuGQ/kq4A/B9hqGs+xfi2T2bqWp/ehbgfNwKcpdhXQObhNTezMznXaomdmz8U5VJnV67jMctLLWDGIgb9XBX4QbgWPtfdSt0mVBtwnHNxVFFDrmr8GYWarA7gps1jqJfZeyCqWmbvvHLBXla33aSBobJ6neWnEvC5E463HrlH3yuq932a+v/POO8v70lXy2ISsLL6K1etzqXo+3kCaA3c1m2swW5XZXK+lQW5WZ9u8AMI6ZnbePN85m9rNxO4xcy95TM56op+DMo3b+annNyzpp85e+wyynjwG9grwgyQtjQxepgrcgcN11kFcc1hSp2zvfqtMxlZ2yl9W9QIbaKiZ/Nq1aweW65ybm+tajMZj9Ck/vX7n/3hKmQGi/Qa6F9TxWKoXOc9Mvg6TrMPoPTO6JrOpk3zGAzmPiatZXRUdXuyGZycwO/emonlTE6vWAPBcITnQToH+MAD4qFnrKACvbtsNui1G5SppmPsUgruJddIc4KV+s/SiMffSket2pF6AJOUGqLq/XsySnrme2XwIAfv7+12mYQbfXI761GInuexsuoKYJnhh07SBPdc7FU3vAXuKzddpbw/g6wC5d23ep4l4PGtFat159Z2ryT3FyDWmITU1jdtJ26yXPteLNa5f6bfs3NhSZXlL1aPXa/YjSkh6ISijAuxeZdrAuleZaHBPaf+HkX5eyFHJYe+5FzaaKyNVJkfcG4i12+2u1czYfK+me51i52Vq43XHq9b/1rXAcwOaB0Q5kK8SD7h1nrgqFrkof2+fB+gK4p653fKw6/+a/S+V+CeX0jWnDPJ/VX7n20G8thonqXLrjZM0zH3Cwb1KmL3zf/yZkl59XIPy3w/inFQdBulP8xiZd4wNCPadA9/29vaSrN5j9Klc97xQCueyVyafW+bU821zO/B99NoeKeWAfdBekF/KXeDFFFheghQr11z9miAmtfKel/0tlcHPA/ZcW/BxVW1aJanyUs9sECCVUgqHCYC9jku9HNfL8bn4h3FQAhpwn1Jwr/K75wC+VwDst0PUdQWkjs+9QFqvfk1tvQB87jo84BnAG6Pf3d0twZUD8tR0n2P0qYh6XVZUVyerygaXygyXaqMc2wfQBYwpv38qRa53TCqlqzJwbwndXArX3CIrOdO6/acKndc+h5UqC4H9lxoDPKly4Q1j8FflsZfr5KyWvY4vwwLCxuc+OplocO9VQ0z5NcdNqgajcdGMvU/vuNQgy9858MtAamdnp2vtcl2znBPmpIA+t9xo3RSryuxNUsphiqmnTO0pcPem8qUWzFEWriDOC6vksvmlGHnquXnfGXSGzWTHVSZhnDGZNlBrpJCJBneTKl9VKuBJNeW6TNQb4FWLrsMsUv+nBsR+LQ5VikKd/7yy6jIx7370HM48NjMzU07H4rzrGnnvrWmuCXCU0XvsPQfwnsme28jrQ/rdM6erKd4DdI5AZ1Dn+eMM7roUrrcinpr3FchTz6dXSxA/9zoAX/fdq3s9oDq4zZNBgrHXRw7zbvX6Htcp3yt3EhSSKmmY+5SA+6Cln46RkzpafF0FJQfsgzB71n2x+3lxcr5VZfE2SGuyHDala/a63Obluk+Z6RXcrV1Slh+PqdtvZsQ5Ezynz/WA3ANuL2rdS9RTx8Tey3M8jKRMwocFlF4UicNKzrKWIhJV53G9B2E2ryvDBrRRAua0gXWvctuAu+fb4n11B7rU4F7F2HPgnBsQcmX1w6Jz5aZ+D4JV2Xle2V75fKz66e0ZaqY6Zff8PTVP3o5JAbyCuraPmrGVqXumd11bnoHdm7amQW5qutfENFwPfl69Wqi8+/WOr6O8DnKgPQqgy72nvbZX7n3tpdxerpWTfsaKfhSmUQN7w9wnWPgB9tr5UoEydUxf/KmmQK/8usCu5rvUYJPT/vuVw5j1+h2c6pjzU8eGUOS6t2vrgim8hCozfF7G1ou453XKzSTPC8FwXezTC5LLgbomkWFg1/XnU9PPPKXCq1tV2x7W1FtXBgFcw5I6TLkOYPdSfi/7q6QqBmeQloBhj0ODkgbcJxzcj1Kq2EkO6HNyWDOiDu7DkroK0LCunWKPtk/92ua35yh8Zfia8MZLB8vMvcoU78399tLhetPcvGlwak5nJn5Y8/q4S6/v0bDLGYWM03M9CnfHIKUB9ykF9zpadd0HWRWU47HtKibfT50GwcrrmhNzg0ovTK+fNkhJzvVh+1gBsyx5zL5TIF5303vx2LNnmmeQT+2vYuKp+x5GW/dbziCueRgTdU7qtk/quFR9qu55mIBRxdirzh3E9VMybUA5iTKV4N6rDJP9HuYFrCO91NuLE0iBV13JxQGwkuNZPobNqpRdm9/e/tvf3y+/62ImvcRI8DW83ynQrgviuXure3xKUs9g2P1WrzWuMkrG6pGFuu6+210a5j5F4K6gwp+p4/q9hrJ1T6rAjMvScgY5cHsy6AErFTfg1cG79mGfU9178Z4Jm/LZnO5J6p54Xw6s+ym3X/HK9N6RowKvKkWujhKl70wdybV53ftOHTss5TSlKHvfh3Xt3PWrZFxAclzqMSqZGnDvRXJgOkipa4r3AP6w9ZoE1lU12Ne5/yqGrZtGwaf6Qi9grWy86vxU3XMgP0p2VuceGilk2O0xKe09amBtmPttBO4pc7Hu78U3ruV4ZeaAQ4+r61+tkpSWX8U8PctCnevUVUq8+0zVuw6z4ut71gCOeOfoeZ7uZmyd/fLqD88Fsnm/vXaoumf+9FwZ/Q48VdaCuufmWFzd55/zXw9yYK3qZ7lr5upYxwpVVX6d6+SumarHYc7vRSYFABtwn2Bw7wWE9Jy6/+ckpyD0Uw8eKHqpZ9WL2utAmmvXuvXq9dnk3Af9CIM9s/VUHnkD7xDCgRXY1E9vW69JYXoBd/4cptQFGBY9NgWiVcd5/b1Ofersq1snrpt3TB0LX5XCnLpe3Xv0yq/b3qmycqLnsaLUT38ZlTTgPqHgboOrLSXqySjMY3XBty4r6Lce/Ui/bop+gDnHJhRIc2UoQ1OLhe1TUNYlX3M533Vqmy69mgP3OqzMq3OqTQbdpwcxWNcBwNT/dQCp3zoN4vhegLFfZaKu1L1+r22Yega8z7OE1LVK6DvSyNHJRIH75uYmgFvgDnTnJFeZFP9UToZ9D/v7++WUMJNhgnvq+LrlVJmE+T82zYcQuhi7AqlnildQ537HA58Oev0oZinXgnfcOMpRsDrrq40MTobdprkA1WFKw9wnFNyB4kHYVKZRyLgMsoetx6hevkFKlcKgvnkPSIHuAUHBO8XGe3VBeOfqPdR5puPS/45SLLHPUYlaJfo5PydV/vperp3qS1Vi1qk60mucwGHejUHIsK4bQngPgB8HcBbA/wbw3hjj/xzKxQ4hEwXu4yTjAoiDqEfdl3tcpe5gVgdAU+Bd59jDSM7XO+xrT5IcdV8dZjv3Y+ofRLn9Ht/PcaME9mG0Qwjh+wD8PIB/AeBZAO8H8EQI4ZtijFf6qOrQpAH3RiZeBj04jYNMUl2PUpp2GbxMY5sO0Sz/fgC/HGP8dQAIIfwIgH8M4F0AfrbHag5V/Gi0RhpppJFGGmmklBDCnQAeAPCU/RcLjeBJAK8fVb1SMinMfR4Ajh8/jnPnzo26LlMlFy9ebNp0wNK06XCkadfBy1G36b333mtf54d9nV6ZO9UtJasAjgG4LP9fBvDqni52BDIp4H4fAPzwD/8wHnrooRFXZbrk6aefbtp0wNK06XCkadfBywjb9D4A/2MI5V4B0P7ABz5wInfQ008/jc9//vNd/7XbbTz55JO7b3zjG8fKd96vhEnwtzz11FMvA/AmAH8N4Npoa9NII4000kifMo8C2J94+OGHXxrGBZ566qnzKFh2P3Ll4Ycf/oa3o2OWbwN4e4zxM/T/JwAsxxi/p89rDkUmAtwbaaSRRhppZNQSQvgigC/FGN/X+R0AfAPAR2OMPzfSyolMilm+kUYaaaSRRkYtjwD4RAjhy7g1Fe4EgE+MslKeNODeSCONNNJIIzUkxvhYCGEVwE8DuBvAHwJ4U4zxxdHW7KA0ZvlGGmmkkUYamTJp5rk30kgjjTTSyJRJA+6NNNJII400MmUyiOdXRgAABJBJREFUEeAeQnhPCOHrIYSdEMIXQwh/f9R1mhQJIXwohHBTtj+TY346hHAxhNAOIfzXEML9o6rvuEoI4cEQwmdCCP+v04ZvdY7JtmMIYS6E8EshhCshhM0QwqdCCHcd3V2Ml1S1aQjhV52++1k5pmnTjoQQPhBCeDaE0AohXA4hfDqE8E3OcU0/vQ1k7MGdEvV/CMC3oViF54lOUEMj9eRPUAR/nO1s32k7Qgg/BeDHUCyE8FoA2yjad3YE9RxnOYkieObdAA4EqtRsx0dR5KF+O4B/AOAcgN8cbrXHWrJt2pHPobvv/oDsb9r0ljwI4BcAvA7AGwHcCeC/hBCO2wFNP72NhJe0HMcNwBcB/Fv6HQD8LYCfHHXdJmFDoRT9r8z+iwDeT7+XAOwA+N5R131cNwA3Aby1l3bs/N4F8D10zKs7Zb121Pc06i3Rpr8K4Lcy5zRtmm/T1U5bfCf91/TT22Qba+Y+aYn6x1j+bsf0+VchhP8QQrgXAEIIr0TBhrh9WwC+hKZ9a0vNdnwNiqmnfMzXUCTAaNo6LW/omJi/GkL4WAjhNO17AE2b5mQFhUXkKtD009tNxhrckU/Uf/boqzOR8kUAP4Qife+PAHglgP8eQjiJog0jmvY9rNRpx7sB7HUG09QxjXTL5wC8A8BDAH4SwHcB+Gy4tdj9WTRt6kqnjR4F8AcxRouxafrpbSRNEpsplxjjE/TzT0IIzwL4vwC+F8BXR1OrRhqplhjjY/TzT0MIfwzgrwC8AcDn3ZMaMfkYgG8B8B2jrkgjo5FxZ+5XAOyj0CZZ7gZw6eirM/kSY9wA8BcA7kfRhgFN+x5W6rTjJQCzIYSlzDGNZCTG+HUUY4JFdzdt6kgI4RcBvAXAG2KMz9Oupp/eRjLW4B5jvA7gywAetv865qaHMZzlAqdeQggLKAbHi53B8hK623cJRbRt0741pWY7fhnADTnm1QDOA3jmyCo7wRJCeAWAlwEwwGraVKQD7N8N4B/GGLtWN2v66e0lk2CWn5hE/eMoIYSfA/CfUZjiXw7gXwG4DuA/dg55FMAHQwjPoVhS9yMoZiP89pFXdoylE6NwPwrmAwCvCiF8K4CrMca/QUU7xhhbIYSPA3gkhLAGYBPARwF8Icb47JHezJhIrk0724dQTMG61DnuZ1BYnZ4AmjZVCSF8DMVUwbcC2A4hGEPfiDHaUtlNP71dZNTh+nU2FPNg/xrFlI1nALxm1HWalA3AJ1G8vDsoIl5/A8Ar5ZgPo5gi00YxcN4/6nqP24YimOsmCjcRb/++bjsCmEMxD/kKikHzPwG4a9T3No5timLd78dRAPs1AP8HwL8DcKZp02R7em25D+AdclzTT2+DrVk4ppFGGmmkkUamTMba595II4000kgjjfQuDbg30kgjjTTSyJRJA+6NNNJII400MmXSgHsjjTTSSCONTJk04N5II4000kgjUyYNuDfSSCONNNLIlEkD7o000kgjjTQyZdKAeyONNNJII41MmTTg3kgjjTTSSCNTJg24N9JII4000siUSQPujTTSSCONNDJl8v8BUxXlXIbJriwAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1197ca390>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import nibabel as nib\n",
"import os.path as op\n",
"nim = nib.load(op.expandvars('${FSLDIR}/data/standard/MNI152_T1_1mm.nii.gz'), mmap=False)\n",
"imdat = nim.get_data().astype(float)\n",
"plt.imshow(imdat[:,:,70], cmap=plt.cm.gray)\n",
"plt.colorbar()\n",
"plt.grid('off')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<a class=\"anchor\" id=\"3D-plots\"></a>\n",
"### 3D plots"
]
},
{
"cell_type": "code",
"execution_count": 45,
"outputs": [
{
"data": {
"text/plain": [
"<mpl_toolkits.mplot3d.art3d.Line3DCollection at 0x11b74afd0>"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1197d75f8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Taken from https://matplotlib.org/gallery/mplot3d/wire3d.html#sphx-glr-gallery-mplot3d-wire3d-py\n",
"\n",
"from mpl_toolkits.mplot3d import axes3d\n",
"\n",
"fig = plt.figure()\n",
"ax = fig.add_subplot(111, projection='3d')\n",
"\n",
"# Grab some test data.\n",
"X, Y, Z = axes3d.get_test_data(0.05)\n",
"\n",
"# Plot a basic wireframe.\n",
"ax.plot_wireframe(X, Y, Z, rstride=10, cstride=10)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Surface renderings are many other plots are possible - see 3D examples on\n",
"the [matplotlib webpage](https://matplotlib.org/gallery/index.html#mplot3d-examples-index)\n",
"\n",
"---\n",
"\n",
"<a class=\"anchor\" id=\"plotting-in-scripts\"></a>\n",
"## Plotting from standalone scripts\n",
"\n",
"When running from a standalone script, the same `matplotlib` import is required,\n",
"but the line `%matplotlib <backend>` should *not* be used.\n",
"\n",
"In a script it is also necessary to _finish_ with `plt.show()` as\n",
"otherwise nothing is actually displayed. For example, the above\n",
"examples would setup a plot but the actual graphic would only appear\n",
"after the `plt.show()` command was executed. Furthermore, control is\n",
"not returned to the script immediately as the plot is interactive by default.\n",
"\n",
"---\n",
"\n",
"<a class=\"anchor\" id=\"exercise\"></a>\n",
"## Exercise\n",
"\n",
"Find a different type of plot (e.g., boxplot, violin plot, quiver\n",
"plot, pie chart, etc.), look up\n",
"the documentation and then write _your own code that calls this_ to create a plot\n",
"from some data that you create yourself (i.e., don't just blindly copy\n",
"example code from the docs)."
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [],
"source": [
"# Make up some data and do the funky plot"
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.5.2"
}
},