773 lines
480 KiB
Plaintext
Executable File
773 lines
480 KiB
Plaintext
Executable File
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<h1>17. More Matplotlib</h1>\n",
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"<h2>11/17/2023</h2>\n",
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"\n",
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"<h2>17.0 Last Time...</h2>\n",
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"<ul>\n",
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" <li><b>matplotlib</b>'s <b>pyplot</b> module lets us use Matlab's powerful plotting tools in Python.</li>\n",
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" <li>The <b>matplotlib.pyplot.plot()</b> function is a simple way to plot 2-D data.</li>\n",
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" <li>We can specify axis limits as well as line style and color.</li>\n",
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"</ul>"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"<h2>17.1 Keyword Strings</h2>\n",
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"\n",
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"With a normal scatterplot, you can convey two pieces of information for each point: (1) what the x value is, and (2) what the y value is. You can get additional information crammed into one plot by allowing the size and color of the points being plotted to vary!\n",
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"\n",
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"matplotlib.pyplot has a handy function for this particular application called <b>scatter()</b>. By default, you only need two arguments that consist of arrays of your x data and your y data."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[ 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23\n",
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" 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47\n",
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" 48 49]\n"
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]
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},
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{
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"data": {
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"<matplotlib.collections.PathCollection at 0x10e8e6c90>"
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]
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},
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"execution_count": 2,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"import numpy as np\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"\n",
|
|
"# Let's have our x values just be a count from 0 to 49.\n",
|
|
"var1 = np.arange(50)\n",
|
|
"print(var1)\n",
|
|
"\n",
|
|
"# And let's randomly generate some y values!\n",
|
|
"var2 = var1 + 10*np.random.randn(50)\n",
|
|
"\n",
|
|
"plt.scatter(var1,var2)\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Okay! So we have some information being shown here: we can see that there's a general positive trend going on here. But what if we have additional information (say this is temperature versus dewpoint temperature and we also know something about relative humidity)? We can convey that information using the 'c' argument in scatter(): the color of the data points."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 3,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.collections.PathCollection at 0x10e9a14d0>"
|
|
]
|
|
},
|
|
"execution_count": 3,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Now we have a third variable that's a new set of random numbers from 0 to 50.\n",
|
|
"\n",
|
|
"var3 = 8*np.random.randint(0,50,50)\n",
|
|
"plt.scatter(var1,var2,c=var3)\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"More information has been conveyed! Let's try adding even more information - say, a fourth meteorological variable like wind speed - through the size of the circle, which is the 's' argument in scatter(). This marker size is in 'points' squared."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stderr",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"/opt/homebrew/Caskroom/miniconda/base/lib/python3.11/site-packages/matplotlib/collections.py:996: RuntimeWarning: invalid value encountered in sqrt\n",
|
|
" scale = np.sqrt(self._sizes) * dpi / 72.0 * self._factor\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.collections.PathCollection at 0x10ea0e6d0>"
|
|
]
|
|
},
|
|
"execution_count": 4,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
" #This gives random numbers on a N(0,1) Gaussian.\n",
|
|
"var4 = np.random.randn(50)*100\n",
|
|
"plt.scatter(var1,var2,c=var3,s=var4)\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"<h2>17.2 Categorical Variables</h2>\n",
|
|
"\n",
|
|
"Sometimes you have data in the form of categories! You may have, for instance, two different sets of tornado data (like in Homework 3), or three different future climate regimes, or five different locations. Any sort of comparative research will require this sort of categorical data analysis!"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<BarContainer object of 3 artists>"
|
|
]
|
|
},
|
|
"execution_count": 5,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"import matplotlib.pyplot as plt\n",
|
|
"# Let's look at the example of three pieces of data.\n",
|
|
"# They might be mean values of three parameters, average grades on an assignment, etc.\n",
|
|
"names = ['groupa','groupb','groupc']\n",
|
|
"values = [58.9,90.3,3]\n",
|
|
"\n",
|
|
"\n",
|
|
"# We can start with a bar plot.\n",
|
|
"plt.bar(names,values)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<matplotlib.collections.PathCollection at 0x10eaaee90>"
|
|
]
|
|
},
|
|
"execution_count": 6,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": "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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# We can also create a scatterplot as seen above.\n",
|
|
"plt.scatter(names,values)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[<matplotlib.lines.Line2D at 0x10eab6c90>]"
|
|
]
|
|
},
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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sLopmDeqYnE4uV0FRCX1mrCbzWAF3XxPKG78foCoiVaey7986IkuE8jeoj37N4P2V6eT/ft2I68LrM6pvNG1D65obTq6Yp6szUwbFctcH6/hqYxZ9Wzeke6RGMSJmUgGRWq24tIyvNmbx719SOZxfCEDLhj6M6htNtwj/Pz19XOxPhzA/7u/UlI/X7GHU72fF6DgeEfOogEitVFZmMD/xIFMWJbPnaAEAjf08GRYXyS1tgrHqrBaHNLJ3NMuTcthztIDXftrJ5EGxZkcSqbVUQKTW+TX1CBMXJrF9fy4A/nVceeqGCO7p0BhXZ31CrSPzcHViyqBYBr2/jtmb99G3dRA3RF/4GkUiUr1UQKTWSNyfy8SFSaxOLb8qpperE//s1oyHu4bhpQtU1Rrtm/rxcJcwPlydwei521nyjB++nhrFiNQ0/dYVh7fnyCmmLE7mp4SDALg4Wbi3YxOevKE5/nV0Fd7aaFhcFL8k5ZB++BSv/LSDaXe2NTuSSK2jAiIOKyf/DG/9ksb/NmRSUmZgsUD/to14tlckoX76hNrazN2lfBRzx7tr+XbLfvrGNKRXS41iRGqSCog4nPwzxXywKp3/rM7gdHEpAD2iGjCydzQtg3VtGSl3deN6PNItnPdXpvPcvO20b1KPel6uZscSqTVUQMRhFJaU8vm6vcxcnsbxgmIA2obWZXTfaK4Nr29yOrFFz/SM5JddOaTlnGTsjzt48+6rzI4kUmuogIjdKy0z+G7rfqYtSWH/idMANGvgxYje0fRuFahrecifcndxYuqgWAa8u5bvtx2gb0xD+sQEmR1LpFZQARG7ZRgGy5JymLQwmeRD+QAE+bgztGcEd7QLwdlJp9TKxcWG1uXRbuG8s2I3L3y3nQ5hfvhpFCNS7VRAxC5t3nuMNxYksXHPcQB83J154vrm3N+pKe4uTianE3vzdM8Ilu46RMqhk7z0fSJvD77a7EgiDk8FROxK6qF8Ji1KZsnOQwC4OVu5v3NTnujeXNdykMvm5uzE1EFt6f/OGn5KOEjfmIPc3Kah2bFEHJoKiNiFAydOM31JCnO37KPMAKsF7mwfytM9I2jo62F2PHEArUN8GdKjGf9elsaL3yfSMdxP14kRqUYqIGLTThQU8c6K3Xyydg9FJWUA9GkVxPDeUTQPqGNyOnE0T94QweKdh0jKzufF7xJ5596rdRCzSDVRARGbdLqolI/WZPDeyt3knykBoGOYH6P6RnN143ompxNH5epsZcqgWPrPXMOCxGx+SjjILbHBZscScUgqIGJTSkrL+GbTPmYsTSEnvxCA6CBvRvWNpkdkA/01KtUuppEvT97QnBlLUytGMQHe7mbHEnE4KiBiEwzDYEFiNlMWJZN+5BQAIfU8GBYXyW2xjbBaVTyk5gy5vjmLdxxi58E8XpiXyPt/b6fyK1LFVEDEdGt3H2HigiTi9+UC4OflylM3NGdwx8a4OeuUWql5Lk5Wpt4Zy61v/8rinYf4If4At7VtZHYsEYeiAiKmSdyfy6RFyaxKOQyAp6sTj3QN55Fu4dRx0/+aYq4WDX341w0RTF2Swkvf7+C68PoE+GgUI1JV9Fteatzeo6eYujiFH+IPAODiZGFwh8Y8eUMEDbx12qPYjsd6NGPxzkNs35/Lc/O28+E/2msUI1JFVECkxhzOL+TtZal8+VsmJWUGALe1DWZYryga1/c0OZ3I+Vycys+KueWtX1m6K4dvt+xnYLsQs2OJOAQVEKl2+WeK+XB1Bv9ZnU5BUSkA3SIbMLJ3FDGNfE1OJ/LXooK8GdorgkkLk3nlxx10bu5PkK9GMSJXSgVEqk1hSSmzfsvkrWVpHDtVBEBsiC+j+kbTqZm/yelELt0/u4azaMch4rNOMObbBD66/xqNYkSukAqIVLmyMoPv4/czdXEK+46fBiDc34sRvaPoExOkX9xid5ydrEy5ow03v/Ury5MPM3vzPu5sH2p2LBG7pgIiVcYwDFakHGbigiSSsvMBCPB2Y2jPSO5sH4Kzk9XkhCKXLyLQm2G9IpmwIIlXf9xJl+b+BNfV5xCJXC4VEKkSWzKPM3FBEr9lHAPA292Zx3s044FOYXi46loe4hge7hrOwh3ZbM08wehvt/PpAxrFiFwuFRC5Imk5J5m8KIlFOw4B5Z+lcX+npjzRoxl1PV1NTidStZysFqYMiuWmN1ezKuUwX2/M4u4Ojc2OJWKXVEDksmTnnmHG0hS+2ZRFmQFWC9zRLoShPSO1W1ocWrMGdRjRO4rXft7Faz/vokuEPyH1dBq5SGWpgEil5BYU887KND5Zs4fCkjIAerUMZGTvKCICvU1OJ1IzHugcxsLEbDbtPc6ouQl88VBHjWJEKkkFRC7JmeJSPlm7h3eWp5F3pgSADk39GNU3inZN/ExOJ1KznKwWJg+Kpe+bq1iTdpQvf8vkb9c2MTuWiF1RAZG/VFJaxpzN+5ixNJXsvDMARAV6M6pvFNdHBeivPqm1wvy9GNUnmld+3Mn4+bvoHtmAUD+NYkQulQqIXJBhGCzacYjJi5LYffgUAI3qevBsr0j6X9UIJ6uKh8h91zVlQWI2GzKOMXJOAl8+3BGrtg2RS6ICIudZn36UiQuT2Jp5AoB6ni48eUMEf7u2MW7OOqVW5Cyr1cLkO9rQZ8Zq1qUf5Yvf9vKP65qaHUvELqiASIWdB/KYtCiJFcmHAfBwceLhrmE80i0cH3cXk9OJ2KYm9b0Yc1M0L32/gwnzk+ge2YAm9b3MjiVi81RAhKxjBUxbksJ32/ZjGOBstXBPh8Y8dWNzArz1oVsiF/O3jk1YsD2bdelHGTEnga8euVajGJGLUAGpxY6eLOStZWl8+dteiksNAPq1acjwuCia+usvOJFLZbVamHRHG3rPWMWGjGN8um4PD3QOMzuWiE1TAamFThWW8J/VGXywajenikoB6Brhz8je0bQO8TU5nYh9CvXz5LmbWvDCd4lMXJhEj6gAwlTkRf6UCkgtUlRSxv82ZPLWslSOnCwCoHUjX0b1iaZLhL/J6UTs370dG7MwMZtf044wYnY8Xz96nc4YE/kTKiC1QFmZwY8JB5i6OIXMYwUANK3vyfDeUdwU01CzapEqYrFYeGNga/rMWM2mvcf5eE0GD3cNNzuWiE1SAXFghmGwKvUIExcksfNgHgANvN14+sYI7romFBcnq8kJRRxPSD1PXri5BaO/3c7kRclcHx1AswZ1zI4lYnNUQBzUtqwTTFyQxLr0owB4uznzaPdwHuwShqer/tlFqtNd14QyPzGbVSmHGT47njmPddIoRuQP9E7kYNIPn2TK4mTmb88GwNXJyj+ua8KQ65tTz8vV5HQitYPFYuGNAa3pPX0VWzNP8J/V6TzavZnZsURsigqIgziUd4YZS1P5ZlMWpWUGFgsMuCqEZ3pF6KPCRUwQXNeDF29pycg5CUxdksIN0QH6xGiR/0MFxM7lni7m/ZW7+WhNBmeKywDo2SKAEb2jiQrSLzsRMw1qF8KC7QdZnlw+ipn7eCecdeyVCKACYrfOFJfy2bo9zFy+m9zTxQC0a1KP0X2juaapn8npRATKRzETBrSh1/SVxO/L5YPV6TzRo7nZsURsggqInSkpLePbLfuZvjSFg7lnAIgMrMOI3tH0bBGAxaID3URsSZCvO2NvacWw2fHMWJLKjdGB2jspggqI3TAMgyU7DzFpUTJpOScBCPZ155lekQy4OkRH2IvYsAFXN2JB4kGW7sph+Ox4vn2ik06Dl1pPBcQObMg4xsSFSWzeexyAup4uDOnRnL9f1wR3FyeT04nIxVgsFsbf3pqNe1axfX8u763YzVM3RpgdS8RUKiA2LCk7j0kLk1mWlAOAu4uVh7qE8Wj3Zvi4u5icTkQqI8DHnVdubcXQr7fx72Wp9GwZSIuGPmbHEjGNCogN2ne8gGlLUpi3dT+GAU5WC3ddE8rTN0YQ6ONudjwRuUy3tQ1m/vaDLN55iGHfxPP9k501ipFaSwXEhhw7VcTM5Wl8vm4vRaXlp9Te3Lohw+IiCdelnEXsnsVi4fXbW7NxzzF2Hsxj5vI0hvaMNDuWiClUQGxAQVEJ/12dwQer0skvLAGgU7P6jO4bTZuQuuaGE5Eq1cDbjXG3xfDU/7by9rI0erYIJKaRr9mxRGqcCoiJikvL+GpDJm/+ksaRk4UAtAr2YVSfaLpG+OuUWhEH1a9NQxYkHmT+9myGz47nhye74OqsUYzULiogJigrM/h5+0GmLE5m79ECAJrU92RYXBT9WjfEqlNqRRyaxWJh3G0xrE8/RlJ2Pm8vS+XZuCizY4nUKBWQGrY69TATFyaRuD8PAP86rvzrxgjuvqax/gISqUX867jx6m0xDJm1hZkrdtOrZRCtQzSKkdpDBaSGJOw7wcSFSaxJOwpAHTdn/tktnIe6hOHlpn8Gkdro5jYNWZDYkJ8SDjJs9jZ+fKoLbs66to/UDnrnq2YZR04xZXEyPyccBMDVycrfrm3CkOubUb+Om8npRMRs5aOYo6QcOsmbS1MZ2Sfa7EgiNUIFpJrk5J3hzV9S+XpjFiVlBhYL3N62Ec/0iiTUz9PseCJiI/y8XHmtf2se+2Iz763cTe9WQcSG1jU7lki1UwGpYnlnivlgZTr//TWD08WlANwQHcCI3lG66qGIXFCfmCBuaxvM99sOMGx2PD891UUfsyAOTwWkipwpLuWL9XuZuTyN4wXFAFzVuC6j+0TTMby+yelExNaNvaUVa3cfJS3nJNOXpjCmbwuzI4lUKxWQK1RaZjBv636mL0lh/4nTADQPqMOI3lHEtQzUtTxE5JLU83Jl/O2teeSzTXy4Kp24lkG0a1LP7Fgi1UYF5DIZhsEvu3KYvCiZ5EP5AAT5uPNsr0gGXN0IZ32+g4hUUq+WgQy4uhHfbtnPiNnxzH+6q0Yx4rBUQC7Dpj3HeGNBEpv2HgfA18OFJ3o0475OTfXLQkSuyMv9WrEm7QjpR04xdXEyz9/c0uxIItVCBaQSUg7lM2lhMkt3HQLA3cXKA53DeKx7M3w9XExOJyKOwNfThQkDWvPgJ5v4z68Z9G4VRPumfmbHEqlyKiCXYP+J00xfksK3W/ZRZoCT1cKd7UN4+sZIgnzdzY4nIg7mhuhABrULYfbmfQyfHc+Cp7vh4aq9q+JYKn2gwv79+/nb3/5G/fr18fT0pG3btmzevLnifsMwGDt2LMHBwXh4eNCjRw927NhRpaFryvFTRbz+806un7KCOZvLy0ffmCAWP9ONCQPaqHyISLV5oV9LGvq6s+doAZMWJZkdR6TKVaqAHD9+nM6dO+Pi4sKCBQvYuXMnU6dOpW7duhXrTJo0iWnTpvH222+zceNGgoKC6NWrF/n5+VWdvdoUFJUwc3ka3SYt58PVGRSVlHFtuB/znujEu39rR7MGdcyOKCIOztfDhTcGtgHgk7V7+C39qMmJRKqWxTAM41JXHj16NGvWrGH16tUXvN8wDIKDgxk6dCijRo0CoLCwkMDAQCZOnMijjz560dfIy8vD19eX3NxcfHxq9sJdxaVlfLMpixlLUzmcXwhAi4Y+jOoTRffIBjqlVkRq3Oi5CXy1MYvGfp4sHNoVT1dNzsU2Vfb9u1J7QH744Qfat2/PoEGDCAgI4KqrruLDDz+suD8jI4Ps7Gzi4uIqlrm5udG9e3fWrl17wecsLCwkLy/vnFtNMwyDnxMOEjd9Fc/PS+RwfiGhfh68eXdbfn6qCz2iAlQ+RMQUz9/cgmBfdzKPFTBxgUYx4jgqVUDS09N59913iYiIYNGiRTz22GP861//4rPPPgMgOzsbgMDAwHMeFxgYWHHfH02YMAFfX9+KW2ho6OV8H5dtbdoRbpu5hiGztpBx5BT1vVwZe0tLfnm2B7e1bYTVquIhIubxdndh0h2xAHy6bi9rdx8xOZFI1ajUvryysjLat2/P+PHjAbjqqqvYsWMH7777Lv/4xz8q1vvj3gLDMP50D8KYMWN49tlnK77Oy8urkRKSuD+XiQuTWJ1avjF7uTrxSLdwHu4aTh037eIUEdvRJcKfezs25svfMhk5J4FFQ7vhpd9TYucq9X9ww4YNadny3IvitGjRgrlz5wIQFBQElO8JadiwYcU6OTk55+0VOcvNzQ03t5r7WPq9R08xZXEKP8YfAMDFycK9HZvw5A3N8a9TczlERCpjzE0tWJF8mH3HTzNhwS5e69/a7EgiV6RSI5jOnTuTnJx8zrKUlBSaNGkCQFhYGEFBQSxZsqTi/qKiIlauXEmnTp2qIO7lO3aqiJe+T+TGqSv5Mf4AFgv0bxvML8/2YOytrVQ+RMSm1XFzZvId5WfFfLE+k19TNYoR+1apAvLMM8+wfv16xo8fT1paGrNmzeKDDz5gyJAhQPnoZejQoYwfP5558+aRmJjI/fffj6enJ4MHD66Wb+BSFZaU8vXGLErKDLpHNuCnp7ow4+6raFzf09RcIiKXqlNzf/5xXfkffKPmJpB/ptjkRCKXr1Kn4QL89NNPjBkzhtTUVMLCwnj22Wd55JFHKu43DINXXnmF999/n+PHj9OxY0dmzpxJTEzMJT1/dZ6G+8X6vTRrUIfrmtWv0ucVEakppwpL6PvmajKPFXBPh1AmDGhjdiQRoPLv35UuINXNzOuAiIjYg/XpR7n7g/UAfPZgB7pFNjA5kUg1XwdERETMd214fe7v1BQoH8XkaRQjdkgFRETEDo3sE0XT+p4czD3Daz/tNDuOSKWpgIiI2CFPV2cmD4rFYoFvNu1jeVKO2ZFEKkUFRETETl3T1I8HO4cBMPrbBHILNIoR+6ECIiJix4bHRRHu78WhvELGaRQjdkQFRETEjnm4OjF5UCxWC8zdso+lOw+ZHUnkkqiAiIjYuXZN6vFI13AAxszbzomCIpMTiVycCoiIiAN4plckzRp4cTi/kLE/7DA7jshFqYCIiDgAdxcnpt7ZFqsFvtt2gEU7ss2OJPKXVEBERBxE29C6PNq9GQDPz9vOsVMaxYjtUgEREXEgQ3tGEBlYhyMni3hZoxixYSogIiIOxM3ZiSmDYnGyWvgx/gALth80O5LIBamAiIg4mDYhdXn891HMC98lcvRkocmJRM6nAiIi4oCeurE50UHeHD1VxEvfaxQjtkcFRETEAZ0dxThbLfy8/SA/JRwwO5LIOVRAREQcVEwjX4Zc3xyAF79L5HC+RjFiO1RAREQc2JDrm9OyoQ/HC4p54bvtGIZhdiQRQAVERMShuTpbK0Yxi3Yc4od4jWLENqiAiIg4uJbBPvzrxggAXvp+Bzl5Z0xOJKICIiJSKzzeoxkxjXzIPV3Mc/M0ihHzqYCIiNQCLk5Wpg5qi4uThaW7cpi3db/ZkaSWUwEREaklooK8GdozEoCxP+zgkEYxYiIVEBGRWuTRbuG0CfEl70wJY77VKEbMowIiIlKLODtZmTooFlcnK8uScpizeZ/ZkaSWUgEREallIgK9eTaufBQz7sedHMw9bXIiqY1UQEREaqFHuobTNrQu+YUljJqrUYzUPBUQEZFayMlqYcqgWFydraxKOcw3m7LMjiS1jAqIiEgt1TygDiPiogB49add7D+hUYzUHBUQEZFa7MEuYbRrUo+ThSWMmpOgUYzUGBUQEZFazMlqYfIdbXB3sfJr2hFmbcg0O5LUEiogIiK1XHiDOozoHQ3A+J93kXWswOREUhuogIiICA90akqHpn6cKipl1NwEyso0ipHqpQIiIiJYrRYm3dEGDxcn1u4+ype/7TU7kjg4FRAREQGgqb8Xo/v+PoqZn0TmUY1ipPqogIiISIW/X9uEa8P9OF1cyvA58RrFSLVRARERkQpWq4VJA2PxdHViQ8YxPlu3x+xI4qBUQERE5ByN63sy5qYWALyxMIk9R06ZnEgckQqIiIic594OjencvD5nissYPjueUo1ipIqpgIiIyHmsVgsTB7bBy9WJTXuP8/GaDLMjiYNRARERkQsKqefJ8ze3BGDyomTSD580OZE4EhUQERH5U/d0CKVrhD+FJRrFSNVSARERkT9lsZSPYrzdnNmSeYL//ppudiRxECogIiLyl4LrevBiv/JRzJTFKaTl5JucSByBCoiIiFzUoPYh9IhqQFFJGcNmJ1BSWmZ2JLFzKiAiInJRFouFCQNa4+3uTHzWCT5crbNi5MqogIiIyCVp6OvBy7e0AmD6khRSDmkUI5dPBURERC7ZwKsbcWN0AEWlZQz7Jp5ijWLkMqmAiIjIJbNYLIwf0BpfDxe278/l/ZW7zY4kdkoFREREKiXQx52xt5afFfPmL6kkZeeZnEjskQqIiIhUWv+2jejVMpDiUkOjGLksKiAiIlJpFouF12+Poa6nCzsO5PHOco1ipHJUQERE5LIEeLsz7rYYAN5alsqOA7kmJxJ7ogIiIiKX7ZY2DenTKoiSsvJRTFGJRjFyaVRARETkslksFl67PQY/L1eSsvN5e3ma2ZHETqiAiIjIFfGv48arv49iZi5PI3G/RjFycSogIiJyxW5u05Cb2zSk9PdRTGFJqdmRxMapgIiISJUYd2sr6nu5knwon3//kmp2HLFxKiAiIlIl6tdx47X+5aOY91amE591wtxAYtNUQEREpMr0bd2QW2ODKS0zGD47njPFGsXIhamAiIhIlXrl1lb413EjNeckM5ZqFCMXpgIiIiJVqp6XK+NvLx/FfLBqN1syj5ucSGyRCoiIiFS5uFZB3H5VI8oMGKFRjFyACoiIiFSLl29pSYC3G7sPn2LakhSz44iNUQEREZFqUdfTlQkDWgPw4ep0Nu89ZnIisSUqICIiUm1ubBHIHe1CMAwYPjuB00UaxUg5FRAREalWL/ZrSZCPOxlHTjF5UbLZccRGXFEBmTBhAhaLhaFDh1YsMwyDsWPHEhwcjIeHBz169GDHjh1XmlNEROyUr4cLEwaWj2I+XpvBhgyNYuQKCsjGjRv54IMPaNOmzTnLJ02axLRp03j77bfZuHEjQUFB9OrVi/z8/CsOKyIi9un6qADuah+KYcCIOfEUFJWYHUlMdlkF5OTJk9x77718+OGH1KtXr2K5YRjMmDGD559/ngEDBhATE8Onn35KQUEBs2bNqrLQIiJif57v14JgX3f2Hi1g0kKNYmq7yyogQ4YM4eabb6Znz57nLM/IyCA7O5u4uLiKZW5ubnTv3p21a9de8LkKCwvJy8s75yYiIo7Hx92FiXeU7zX/ZO0e1u0+anIiMVOlC8hXX33Fli1bmDBhwnn3ZWdnAxAYGHjO8sDAwIr7/mjChAn4+vpW3EJDQysbSURE7ETXiAbc06ExACPnxnOqUKOY2qpSBSQrK4unn36aL774And39z9dz2KxnPO1YRjnLTtrzJgx5ObmVtyysrIqE0lEROzM8ze3oFFdD7KOneaNBUlmxxGTVKqAbN68mZycHNq1a4ezszPOzs6sXLmSf//73zg7O1fs+fjj3o6cnJzz9oqc5ebmho+Pzzk3ERFxXHXcnJn0+yjm8/V7WZN2xOREYoZKFZAbb7yR7du3s23btopb+/btuffee9m2bRvh4eEEBQWxZMmSiscUFRWxcuVKOnXqVOXhRUTEPnVu7s/fr20CwMg5CeSfKTY5kdQ058qs7O3tTUxMzDnLvLy8qF+/fsXyoUOHMn78eCIiIoiIiGD8+PF4enoyePDgqkstIiJ2b3TfaFak5JB17DTj5ydVXLZdaocqvxLqyJEjGTp0KE888QTt27dn//79LF68GG9v76p+KRERsWNebs5MGhgLwP82ZLIq5bDJiaQmWQzDMMwO8X/l5eXh6+tLbm6ujgcREakFxv6wg0/W7iHY152Fz3TDx93F7EhyGSr7/q3PghEREVON7BNFk/qeHMg9w+s/7TI7jtQQFRARETGVp6szk++IxWKBrzdlsTw5x+xIUgNUQERExHQdwvx4oFMYAGPmbif3tM6KcXQqICIiYhNG9I4izN+L7LwzvPrTTrPjSDVTAREREZvg4erElEFtsFhgzuZ9/LLrkNmRpBqpgIiIiM1o18SPR7qGAzDm2+2cKCgyOZFUFxUQERGxKc/2iiS8gRc5+YW88qNGMY5KBURERGyKu4sTUwbFYrXAvK37Wbzjwp+mLvZNBURERGzO1Y3r8c9uzQB4bl4ix09pFONoVEBERMQmDe0ZQURAHY6cLOTlH3aYHUeqmAqIiIjYpLOjGCerhR/iD7Aw8aDZkaQKqYCIiIjNig2ty2Pdy8+KeX5eIkdPFpqcSKqKCoiIiNi0f90YQVSgN0dPFfGSRjEOQwVERERsmpuzE1PvLB/F/JxwkJ8SDpgdSaqACoiIiNi8mEa+DLm+OQAvfpfI4XyNYuydCoiIiNiFJ69vTouGPhwvKObF7xIxDMPsSHIFVEBERMQuuDpbmTKoDc5WCwt3ZPNjgs6KsWcqICIiYjdaBfvy1A0RALz0fSI5+WdMTiSXSwVERETsyhPXN6NVsA8nCop5fp5GMfZKBUREROyKi5OVqXfG4uJkYcnOQ3y3bb/ZkeQyqICIiIjdiQ7y4ekby0cxY3/YyaE8jWLsjQqIiIjYpce6N6N1I19yTxfz3LfbNYqxMyogIiJil5x/H8W4Oln5JSmHuVs0irEnKiAiImK3IgO9eaZXJACv/LiDg7mnTU4kl0oFRERE7NojXcOIDa1L/pkSRs/VKMZeqICIiIhdc3ayMnVQG1ydraxMOczsTfvMjiSXQAVERETsXvMAb4bHlY9iXv1pJ/tPaBRj61RARETEITzUJZyrG9clv7CE0XMTNIqxcSogIiLiEJysFqYMisXN2crq1CP8b0OW2ZHkL6iAiIiIwwhvUIcRvaMAeP3nnew7XmByIvkzKiAiIuJQHugcxjVN63GqqJSRcxIoK9MoxhapgIiIiENxslqYfEcs7i5W1u4+ypcbMs2OJBegAiIiIg6nqb8Xo/pEAzBh/i4yj2oUY2tUQERExCHdd11TOoT5UVBUyog58RrF2BgVEBERcUhWq4Upd8Ti6erEbxnH+Hz9XrMjyf+hAiIiIg6rcX1PxvQtH8W8sSCJPUdOmZxIzlIBERERh3ZvxyZ0alaf08UaxdgSFRAREXFoVquFiQPb4OXqxMY9x/l47R6zIwkqICIiUguE+nny3M0tAJi8KIn0wydNTiQqICIiUisM7tCYLs39OVNcxog5CZRqFGMqFRAREakVLBYLE+9oQx03ZzbvPc5Hv2aYHalWUwEREZFao1FdD144O4pZnExajkYxZlEBERGRWuWua0LpFtmAopIyhs+O1yjGJCogIiJSq1gsFiYObI23uzPbsk7w4ep0syPVSiogIiJS6zT09eClfi0BmLY4hdRD+SYnqn1UQEREpFa6o10IN0QHUFRaxrDZ8ZSUlpkdqVZRARERkVrJYrEwYUBrfNydSdiXy/urNIqpSSogIiJSawX6uDP21lYAzFiaQlJ2nsmJag8VEBERqdVuv6oRPVsEUlxqMHx2PMUaxdQIFRAREanVLBYL4wfEUNfThcT9eby7YrfZkWoFFRAREan1ArzdeeX3Ucy/f0ll5wGNYqqbCoiIiAhwa2wwvVsFUlJWPoopKtEopjqpgIiIiFA+inmtf2vqebqw82AeM5enmR3JoamAiIiI/K6Btxuv9o8BYObyNBL355qcyHGpgIiIiPwf/doEc1ProIpRTGFJqdmRHJIKiIiIyB+8elsM9b1cScrO561fNIqpDiogIiIif1C/jhuv/T6KeXflbhL2nTA3kANSAREREbmAvq0bcktsMKVlBsO+0SimqqmAiIiI/Ilxt7bCv44bqTknmbE01ew4DkUFRERE5E/U83Ll9dvLRzHvr9zN1szjJidyHCogIiIif6F3qyD6tw2mzIDhs+M5U6xRTFVQAREREbmIsbe2ooG3G7sPn2L6khSz4zgEFRAREZGLqOvpyoTbWwPwwep0Nu89ZnIi+6cCIiIicgl6tgxkwNWNMAwYPjuB00UaxVwJFRAREZFL9HK/VgT6uJFx5BRTFiebHceuqYCIiIhcIl9PF94Y0AaAj9ZksHGPRjGXq1IFZMKECVxzzTV4e3sTEBBA//79SU4+twEahsHYsWMJDg7Gw8ODHj16sGPHjioNLSIiYpbrowO4s30IhgEjZsdTUFRidiS7VKkCsnLlSoYMGcL69etZsmQJJSUlxMXFcerUqYp1Jk2axLRp03j77bfZuHEjQUFB9OrVi/z8/CoPLyIiYoYX+rWkoa87e44WMGmhRjGXw2IYhnG5Dz58+DABAQGsXLmSbt26YRgGwcHBDB06lFGjRgFQWFhIYGAgEydO5NFHH73oc+bl5eHr60tubi4+Pj6XG01ERKRarUw5zH0fbQDgq39ey7Xh9U1OZK7Kvn9f0TEgubm5APj5+QGQkZFBdnY2cXFxFeu4ubnRvXt31q5de8HnKCwsJC8v75ybiIiIrese2YB7OoQCMHJOAqcKNYqpjMsuIIZh8Oyzz9KlSxdiYsovU5udnQ1AYGDgOesGBgZW3PdHEyZMwNfXt+IWGhp6uZFERERq1HM3taBRXQ8yjxUwcWGS2XHsymUXkCeffJKEhAT+97//nXefxWI552vDMM5bdtaYMWPIzc2tuGVlZV1uJBERkRrl7e7CxIHlZ8V8tm4va9OOmJzIflxWAXnqqaf44YcfWL58OSEhIRXLg4KCAM7b25GTk3PeXpGz3Nzc8PHxOecmIiJiL7pE+HNvx8YAjJiTwEmNYi5JpQqIYRg8+eSTfPvttyxbtoywsLBz7g8LCyMoKIglS5ZULCsqKmLlypV06tSpahKLiIjYmDE3tSCkngf7T5xm/PxdZsexC5UqIEOGDOGLL75g1qxZeHt7k52dTXZ2NqdPnwbKRy9Dhw5l/PjxzJs3j8TERO6//348PT0ZPHhwtXwDIiIiZqvj5sykO8pHMbN+y2R16mGTE9m+Sp2G+2fHcXz88cfcf//9QPlekldeeYX333+f48eP07FjR2bOnFlxoOrF6DRcERGxVy9/n8in6/YS7OvOome64e3uYnakGlPZ9+8rug5IdVABERERe1VQVEKfGavJPFbA3deE8sbvB6jWBjV6HRARERH5/zxdnZn8+yjmq41ZrEjOMTmR7VIBERERqUIdw+vzQOemAIyeu53c08XmBrJRKiAiIiJVbGTvaJrW9yQ77wyv/bTT7Dg2SQVERESkinm4OjFlUCwWC8zevI9lSYfMjmRzVEBERESqQfumfjzUufx6WaPnbie3QKOY/0sFREREpJoM7x1FuL8XOfmFvPLjDrPj2BQVEBERkWri7uLElDtjsVrg2637WbJTo5izVEBERESq0dWN6/FIt3AAnpu3neOnikxOZBtUQERERKrZMz0jaR5Qh8P5hYzVKAZQAREREal27i7lZ8VYLfD9tgMsTMy++IMcnAqIiIhIDWgbWpfHujcD4IXvtnOslo9iVEBERERqyNM9I4gMrMORk0W89H2i2XFMpQIiIiJSQ9ycnZg6qC1OVgs/JRzk54SDZkcyjQqIiIhIDWod4ssTPcpHMS9+n8iRk4UmJzKHCoiIiEgNe+qGCKKDvDl2qogXv0vEMAyzI9U4FRAREZEa5upsZcqgWJytFhYkZvNTLRzFqICIiIiYIKaRL0/e0BwoH8Xk5J8xOVHNUgERERExyZDrm9OyoQ8nCop5fl7tGsWogIiIiJjExal8FOPiZGHJzkN8v+2A2ZFqjAqIiIiIiVoG+/CvGyIAePmHHeTk1Y5RjAqIiIiIyR7r0YzWjXzJPV3Mc/O214pRjAqIiIiIyc6OYlydrCzdlcO3W/abHanaqYCIiIjYgKggb57uWT6KGfvjDrJzHXsUowIiIiJiIx7tFk5siC/5Z0oY822CQ49iVEBERERshPPZUYyzleXJh5m9eZ/ZkaqNCoiIiIgNiQj0ZlivSABe/XEnB06cNjlR9VABERERsTEPdw3nqsZ1yS8sYdRcxxzFqICIiIjYGCerhSmDYnFztrI69QhfbcwyO1KVUwERERGxQc0a1GFE7ygAXv95F/uOF5icqGqpgIiIiNioBzqH0b5JPU464ChGBURERMRGOVktTB4Ui7uLlTVpR/nyt0yzI1UZFRAREREbFubvxcje0QCMn7+LrGOOMYpRAREREbFx93dqSoemfhQUlTJyTgJlZfY/ilEBERERsXFWq4XJg9rg4eLEuvSjfPHbXrMjXTEVEBERETvQpL4XY24qH8VMmJ/E3qOnTE50ZVRARERE7MTfOjbh2nA/TheXMmK2fY9iVEBERETshNVqYfIdsXi6OrFhzzE+WbvH7EiXTQVERETEjoT6efLcTS0AmLQoiYwj9jmKUQERERGxM/d2bEyX5v6cKS5jxOx4Su1wFKMCIiIiYmcsFgtvDGxNHTdnNu09zsdrMsyOVGkqICIiInYopJ4nz99cPoqZvCiZ3YdPmpyoclRARERE7NTd14TSNcKfwpIyhtvZKEYFRERExE5ZLBYmDmyDt5szWzNP8J/V6WZHumQqICIiInYsuK4HL97SEoCpS1JIPZRvcqJLowIiIiJi5wa1C+H6qAYU/T6KKSktMzvSRamAiIiI2DmLxcKEAW3wdncmfl8u76+y/VGMCoiIiIgDCPJ1Z+wtrQB4c2kqydm2PYpRAREREXEQA65uRM8WARSVlo9iim14FKMCIiIi4iAsFgvjb2+Nr4cL2/fn8t6K3WZH+lMqICIiIg4kwMedV24tH8X8e1kquw7mmZzowlRAREREHMxtbYOJaxlIcanBsG9scxSjAiIiIuJgLBYLr9/emnqeLuw8mMfM5WlmRzqPCoiIiIgDauDtxrjbYgB4e1kaiftzTU50LhUQERERB9WvTUP6xgRRUmYwfHY8RSW2M4pRAREREXFQFouFV/vH4OflSlJ2Pm8tSzU7UgUVEBEREQfmX8eNV38fxbyzYjfb99nGKEYFRERExMHd3KYh/do0pLTMYNjsbRSWlJodSQVERESkNhh3Wwz+dVxJOXSSN5eaP4pRAREREakF/Lxcea1/awDeW7mb3YdPmprH2dRXFxERkRrTJyaI+65rQrumfoT7e5maRQVERESkFnnl9wNSzaYRjIiIiNQ4FRARERGpcSogIiIiUuNUQERERKTGqYCIiIhIjau2AvLOO+8QFhaGu7s77dq1Y/Xq1dX1UiIiImJnqqWAfP311wwdOpTnn3+erVu30rVrV/r27UtmZmZ1vJyIiIjYGYthGEZVP2nHjh25+uqreffddyuWtWjRgv79+zNhwoS/fGxeXh6+vr7k5ubi4+NT1dFERESkGlT2/bvK94AUFRWxefNm4uLizlkeFxfH2rVrz1u/sLCQvLy8c24iIiLi2Kq8gBw5coTS0lICAwPPWR4YGEh2dvZ560+YMAFfX9+KW2hoaFVHEhERERtTbQehWiyWc742DOO8ZQBjxowhNze34paVlVVdkURERMRGVPlnwfj7++Pk5HTe3o6cnJzz9ooAuLm54ebmVtUxRERExIZV+R4QV1dX2rVrx5IlS85ZvmTJEjp16lTVLyciIiJ2qFo+DffZZ5/l73//O+3bt+e6667jgw8+IDMzk8cee+yijz17Uo4ORhUREbEfZ9+3L/Xk2mopIHfddRdHjx5l3LhxHDx4kJiYGObPn0+TJk0u+tj8/HwAHYwqIiJih/Lz8/H19b3oetVyHZArUVZWxoEDB/D29r7gQatXIi8vj9DQULKysnSNERETaBsUMV91bYeGYZCfn09wcDBW68WP8KiWPSBXwmq1EhISUq2v4ePjo19+IibSNihivurYDi9lz8dZ+jA6ERERqXEqICIiIlLjalUBcXNz4+WXX9Z1R0RMom1QxHy2sh3a3EGoIiIi4vhq1R4QERERsQ0qICIiIlLjVEBERESkxqmAiIjdWbFiBRaLhRMnTpgdRUQukwqIiIiI1DiHKCBFRUVmRxCp9bQdipjPnrZDmywg+fn53HvvvXh5edGwYUOmT59Ojx49GDp0KABNmzbltdde4/7778fX15dHHnkEgLlz59KqVSvc3Nxo2rQpU6dOPed5LRYL33333TnL6tatyyeffALAnj17sFgsfPXVV3Tq1Al3d3datWrFihUrKtYvLS3loYceIiwsDA8PD6KionjzzTer60chYhpb3g7PWrNmDbGxsbi7u9OxY0e2b99e1T8GEVPZ+na4Y8cObr75Znx8fPD29qZr167s3r370r45wwY9/PDDRpMmTYylS5ca27dvN26//XbD29vbePrppw3DMIwmTZoYPj4+xuTJk43U1FQjNTXV2LRpk2G1Wo1x48YZycnJxscff2x4eHgYH3/8ccXzAsa8efPOeS1fX9+KdTIyMgzACAkJMebMmWPs3LnTePjhhw1vb2/jyJEjhmEYRlFRkfHSSy8ZGzZsMNLT040vvvjC8PT0NL7++usa+MmI1Bxb3g6XL19uAEaLFi2MxYsXGwkJCUa/fv2Mpk2bGkVFRTXw0xGpGba8He7bt8/w8/MzBgwYYGzcuNFITk42PvroIyMpKemSvjebKyB5eXmGi4uLMXv27IplJ06cMDw9Pc/5gffv3/+cxw0ePNjo1avXOctGjBhhtGzZsuLrS/2Bv/HGGxX3FxcXGyEhIcbEiRP/NPMTTzxhDBw4sDLfpohNs/Xt8GwB+eqrryrWOXr0qOHh4aE/BsRh2Pp2OGbMGCMsLOyyS7/NjWDS09MpLi6mQ4cOFct8fX2Jioo6Z7327duf8/WuXbvo3LnzOcs6d+5MamoqpaWllcpw3XXXVfy3s7Mz7du3Z9euXRXL3nvvPdq3b0+DBg2oU6cOH374IZmZmZV6DRFbZg/b4R/X8fPzIyoq6rx1ROyVrW+H27Zto2vXrri4uFTqOc+yuQJi/H5leIvFcsHlZ3l5eZ13/8UeY7FYzltWXFx8SbnOPvc333zDM888w4MPPsjixYvZtm0bDzzwgF0d+CNyMba+HV7pOiL2wNa3Qw8Pj0ta/8/YXAFp1qwZLi4ubNiwoWJZXl4eqampf/m4li1b8uuvv56zbO3atURGRuLk5ARAgwYNOHjwYMX9qampFBQUnPdc69evr/jvkpISNm/eTHR0NACrV6+mU6dOPPHEE1x11VU0b9780g+4EbETtr4dXmid48ePk5KSct46IvbK1rfDNm3asHr16ksuLn/kfFmPqkbe3t7cd999jBgxAj8/PwICAnj55ZexWq1/+ZfNsGHDuOaaa3j11Ve56667WLduHW+//TbvvPNOxTo33HADb7/9Ntdeey1lZWWMGjXqgruOZs6cSUREBC1atGD69OkcP36cBx98EIDmzZvz2WefsWjRIsLCwvj888/ZuHEjYWFhVf/DEDGJrW+HZ40bN4769esTGBjI888/j7+/P/3796+yn4OImWx9O3zyySd56623uPvuuxkzZgy+vr6sX7+eDh06nDcmuqDLOnKkmuXl5RmDBw82PD09jaCgIGPatGlGhw4djNGjRxuGUX7QzfTp08973Jw5c4yWLVsaLi4uRuPGjY3Jkyefc//+/fuNuLg4w8vLy4iIiDDmz59/wYNuZs2aZXTs2NFwdXU1WrRoYfzyyy8Vz3HmzBnj/vvvN3x9fY26desajz/+uDF69GgjNja2un4cIqaw5e3w7EGoP/74o9GqVSvD1dXVuOaaa4xt27ZV289DxAy2vB0ahmHEx8cbcXFxhqenp+Ht7W107drV2L179yV9bxbD+MMQyAadOnWKRo0aMXXqVB566KFqe509e/YQFhbG1q1badu2bbW9jog90nYoYj5H2g5tbgQDsHXrVpKSkujQoQO5ubmMGzcOgNtuu83kZCK1h7ZDEfM58nZokwUEYMqUKSQnJ+Pq6kq7du1YvXo1/v7+ZscSqVW0HYqYz1G3Q7sYwYiIiIhjsbnTcEVERMTxqYCIiIhIjVMBERERkRqnAiIiIiI1TgVEREREapwKiIiIiNQ4FRARERGpcSogIiIiUuNUQERERKTG/T+DD8JVB0YT+gAAAABJRU5ErkJggg==",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Or a line plot!\n",
|
|
"plt.plot(names,values)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"<h2>17.3 Controlling Line Properties</h2>\n",
|
|
"\n",
|
|
"There are a bunch of line attributes you can set! The line type/color/marker examples we saw earlier are shortcuts for common configurations, but there are a <i>lot</i> more. You can find the full list by googling <b>matplotlib.lines.Line2d</b>, or by calling the <b>plt.setp()</b> function with a line or lines as an argument."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
" agg_filter: a filter function, which takes a (m, n, 3) float array and a dpi value, and returns a (m, n, 3) array and two offsets from the bottom left corner of the image\n",
|
|
" alpha: scalar or None\n",
|
|
" animated: bool\n",
|
|
" antialiased or aa: bool\n",
|
|
" clip_box: `~matplotlib.transforms.BboxBase` or None\n",
|
|
" clip_on: bool\n",
|
|
" clip_path: Patch or (Path, Transform) or None\n",
|
|
" color or c: color\n",
|
|
" dash_capstyle: `.CapStyle` or {'butt', 'projecting', 'round'}\n",
|
|
" dash_joinstyle: `.JoinStyle` or {'miter', 'round', 'bevel'}\n",
|
|
" dashes: sequence of floats (on/off ink in points) or (None, None)\n",
|
|
" data: (2, N) array or two 1D arrays\n",
|
|
" drawstyle or ds: {'default', 'steps', 'steps-pre', 'steps-mid', 'steps-post'}, default: 'default'\n",
|
|
" figure: `~matplotlib.figure.Figure`\n",
|
|
" fillstyle: {'full', 'left', 'right', 'bottom', 'top', 'none'}\n",
|
|
" gapcolor: color or None\n",
|
|
" gid: str\n",
|
|
" in_layout: bool\n",
|
|
" label: object\n",
|
|
" linestyle or ls: {'-', '--', '-.', ':', '', (offset, on-off-seq), ...}\n",
|
|
" linewidth or lw: float\n",
|
|
" marker: marker style string, `~.path.Path` or `~.markers.MarkerStyle`\n",
|
|
" markeredgecolor or mec: color\n",
|
|
" markeredgewidth or mew: float\n",
|
|
" markerfacecolor or mfc: color\n",
|
|
" markerfacecoloralt or mfcalt: color\n",
|
|
" markersize or ms: float\n",
|
|
" markevery: None or int or (int, int) or slice or list[int] or float or (float, float) or list[bool]\n",
|
|
" mouseover: bool\n",
|
|
" path_effects: list of `.AbstractPathEffect`\n",
|
|
" picker: float or callable[[Artist, Event], tuple[bool, dict]]\n",
|
|
" pickradius: float\n",
|
|
" rasterized: bool\n",
|
|
" sketch_params: (scale: float, length: float, randomness: float)\n",
|
|
" snap: bool or None\n",
|
|
" solid_capstyle: `.CapStyle` or {'butt', 'projecting', 'round'}\n",
|
|
" solid_joinstyle: `.JoinStyle` or {'miter', 'round', 'bevel'}\n",
|
|
" transform: `~matplotlib.transforms.Transform`\n",
|
|
" url: str\n",
|
|
" visible: bool\n",
|
|
" xdata: 1D array\n",
|
|
" ydata: 1D array\n",
|
|
" zorder: float\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
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"lines = plt.plot([1,2,3])\n",
|
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"plt.setp(lines)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Let's say you want to increase the width of a given line. You'd want to use the <b>linewidth</b> argument."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[<matplotlib.lines.Line2D at 0x10ec75290>]"
|
|
]
|
|
},
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"import numpy as np\n",
|
|
"plt.plot(np.arange(9),linewidth=5.0)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[<matplotlib.lines.Line2D at 0x10eb6ad10>]"
|
|
]
|
|
},
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Likewise, you can set the color.\n",
|
|
"plt.plot(np.arange(20),linewidth=20,color='darkblue')\n"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[<matplotlib.lines.Line2D at 0x10ed55290>]"
|
|
]
|
|
},
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# If you have markers, you can change their properties as well!\n",
|
|
"plt.plot(np.arange(10),'-o',markeredgecolor='red',markerfacecolor='yellow')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"<h2>17.4 Multiple Figures and Axes</h2>\n",
|
|
"\n",
|
|
"We often want to deal with multiple subplots within the same figure. As a behind-the-scenes note, pyplot keeps track of the \"current\" figure and axes, which can be referred to using <b>gcf()</b> and <b>gca()</b>, respectively. You probably won't have to worry about this too often.\n",
|
|
"\n",
|
|
"The <b>subplot()</b> function refers to a particular subplot within a set. It has three arguments: number of rows, number of columns, and then the specific number of this plot (which ranges from 1 to number_rows*number_columns)."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Let's create a couple of subplots of fairly complex data:\n",
|
|
"# a damped oscillation and an undamped oscillation.\n",
|
|
"import numpy as np\n",
|
|
"# Start by creating a function that will give us a decaying oscillation.\n",
|
|
"def f(t):\n",
|
|
" return np.exp(-t)*np.cos(2*np.pi*t)\n",
|
|
"\n",
|
|
"\n",
|
|
"# Next, let's have two sets of x values:\n",
|
|
"# the first is more widely spaced than the second,\n",
|
|
"# but they cover the same range of data.\n",
|
|
"t1 = np.arange(0,5,0.1)\n",
|
|
"t2 = np.arange(0,5,0.02)\n",
|
|
"\n",
|
|
"\n",
|
|
"# First, we create a setup where we have two rows and 1 column of\n",
|
|
"# plots, and we're referring to the first plot.\n",
|
|
"plt.subplot(2,1,1)\n",
|
|
"plt.plot(t1,f(t1),'ob',t2,f(t2),'k')\n",
|
|
"\n",
|
|
"# Next, we'll refer to the second plot.\n",
|
|
"\n",
|
|
"plt.subplot(2,1,2)\n",
|
|
"plt.plot(t2,np.cos(2*np.pi*t2),'r--')\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"<b>Exercise:</b> Make 4 subplots (2 rows, 2 columns) using the x values below and plot whatever functions you like on them (sin(x), cos(x), 2/x, etc.)!"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[<matplotlib.lines.Line2D at 0x10ef55d10>]"
|
|
]
|
|
},
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 4 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"import numpy as np\n",
|
|
"import matplotlib.pyplot as plt\n",
|
|
"\n",
|
|
"x = np.arange(0.0,10,0.01)\n",
|
|
"\n",
|
|
"plt.subplot(2,2,1)\n",
|
|
"plt.plot(x,np.sin(x))\n",
|
|
"plt.subplot(2,2,2)\n",
|
|
"plt.plot(x,np.cos(x))\n",
|
|
"plt.subplot(2,2,3)\n",
|
|
"plt.plot(x,2*np.cos(x))\n",
|
|
"plt.subplot(2,2,4)\n",
|
|
"plt.plot(x,4*np.sin(x))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"<h2>17.5 Working with Text</h2>\n",
|
|
"\n",
|
|
"You can use the <b>text()</b> function to place text in any arbitrary location. As seen above, some useful text-related functions include <b>xlabel()</b>, <b>ylabel()</b>, and <b>title()</b>.\n",
|
|
"\n",
|
|
"As a side note, if you want to use mathematical expressions in text, it can get a little confusing. You'll want to start your string with the letter r, then surround it with quotation marks followed by dollar signs. The conventions are the same as in LaTeX, and you can find the details by googling 'LaTeX math'."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 68,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"[41.32270515 86.64818776 48.41249733 ... 39.1275195 74.85441181\n",
|
|
" 59.70951104]\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"Text(20, 0.025, '$\\\\mu=60 \\\\sigma=15$')"
|
|
]
|
|
},
|
|
"execution_count": 68,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Let's generate a histogram from a set of random values in a distribution\n",
|
|
"# with a specified mean and standard deviation.\n",
|
|
"mu,sigma =60,15\n",
|
|
"x = mu + sigma *np.random.randn(10000)\n",
|
|
"print(x)\n",
|
|
"\n",
|
|
"# Let's create a histogram!\n",
|
|
"plt.hist(x,100,density=1,facecolor='g')\n",
|
|
"plt.grid(True)\n",
|
|
"plt.axis([0,100,0,0.03])\n",
|
|
"plt.xlabel('grades')\n",
|
|
"plt.ylabel('frequency')\n",
|
|
"plt.title('hist of phys midterm2 grades',fontsize=24)\n",
|
|
"plt.text(20,.025,r\"$\\mu=60 \\sigma=15$\")"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"There's also a method of annotating text that is called, as you might expect, <b>annotate()</b>. An example follows!"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 72,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(-2.0, 2.0)"
|
|
]
|
|
},
|
|
"execution_count": 72,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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4i0HL1VdfjcceewzTp0+Xu7lEFCYMXogo7BwOh7SEf1lZWZ+W8DcajfB4PPje976HRx99FBMnTpS7uUQUZgxeiChs7Ha7tIR/dXX1gJbwLywslLWtRKQcDF6IKOSamprwl7/8Bc8++yysVmuflvA3GAwwGAz44Q9/iJ/97GcYMmSI3M0lIoVh8EJEIVNTU4MVK1bghRde6PcS/g8++CAeeughZGRkyNhSIlIyBi9EJLuKigo888wzWLlyZb+X8P/Zz36GBx54AElJSfI1lIhUgcELEfVKc3MzqqurMXz48F6/prS0FL/73e/w1ltv9WkJf1FGRgaWLVuGhQsXIi4urq9NJiKNYvBCRBfkdDoxa9YsHDp0CBUVFRfcwHD//v14+umn8c9//hN6vb7P+w4NGTIEv/zlL7FgwQIu4U9EXXC5SSK6oIceegi7du1CW1sb/vznP5/3edu2bcN1112HiRMn4oMPPuh1tkWcGl1YWIh3330Xx48fx8KFCxm4EFG3GLwQUY/effddvPTSSxAEAV6vF88//zxaWlqkvwuCgP/85z+48sorMX36dHz22WcAer+wHABMmjQJH330EQ4dOoTbbruNew8RUY8YvBDReR04cAB33313p8dsNhteffVVeL1efPTRR5g6dSquvvpqfP311wD6FrRcdtll+M9//oNdu3Zx7yEi6jWd0JuFFVTEZrPBYrHAarUiMTEx3M0hUi2r1YpJkyahoqKiS0CSmpqK9PR0HD58WNq1uTeMRiPcbjfmzp2LX/7ylygqKpKj6USkQn25fjM3S0RdeL1ezJ8/v9vABQAaGhrQ0NAgPfdCDAYDvF4vbrrpJixbtoxL+BPRgDB4IaIu/vCHP+Bf//rXef/e24StwWCATqfDggUL8Itf/AIjRowIVhOJKIIxeCGiTj7//HM88sgjA3oPg8EAo9EoLeGfm5sbpNYRETF4IaIAp0+fxs033yytt9JXer0eMTExePDBB7F48WIu4U9EsmDwQkQAfAvRfe9730Nzc3Oflu8HfIvLWSwW/OxnP8P999/PJfyJSFYMXogIgG8hut27d/c5cNHr9Xjuuee4hD8RhYysiyps3rwZ8+bNQ05ODnQ6HT788MMLvmbTpk2YMmUKoqOjMXToULzyyityNpGIALzzzjt46aWX+hy4AL7ZRmPGjGHgQkQhI2vwYrfbMXHiRLz44ou9ev7Jkycxd+5czJgxA3v37sUjjzyCBx98EKtXr5azmUQRbf/+/bjnnnv6/XqDwYCnnnoqiC0iIupZyBap0+l0WLNmDW688cbzPufhhx/Gxx9/jJKSEumx++67D/v27cO2bdt69TlyLlJna3chMdoU1PckCqempiZMnjz5vOu59MWWLVtw2WWXBallRKRUgiDA4fYi2mQI6vuqdpG6bdu2Yfbs2Z0eu+aaa/Daa6/B5XLBZOoaODgcDjgcDul3m80mS9sEQcCM33+JGJMB3x6TgSVXj0RKXJQsnxWpBEHA6j1n8MbXJ3G2qQ1jchLx0LcLMTU/JdxN05yj1c34w7ojWP3sUjSdOjXg99PpdHj66afx6aefDrxxGmJ3uPGXL4/h3/sr4XB7cPnwdCy9phDZlphwN01z1n1ThVc2HcepejtGZMRj0bdG4MrC9HA3S3PK61vx+L8OwqjXYeWCqWFrh6KCl6qqKmRmZnZ6LDMzE263G3V1dcjOzu7ymuXLl+OJJ56QvW2V1nbY2l2wtrnwzvZybDxSi/d+eCkGJ8fK/tmRwOsV8NhH3+DdHeXSY18fq8fW49vw3M0T8b2LBoexddryVWkt7nlzF9pdHnjMiTBlDgU8HsQagZRYAzxuN9xuN1wuF9z+//Z4PNL/dpehEQSh19nRSNHU6sQdr+3AN2c6bqhW7zmNjUdq8L8/vBSFmQlhbJ22PL/hKF74vFT6feepRtz5+n/xy+tG454ZQ8PYMm3ZV9GEO17bgeZ2N0wGHU7W2VGQFp5aN8XtgqbT6Tr9Lo5qnfu4aNmyZbBardJPRUWFLO3KSYrBgcevwRt3XYy81FicbmzD3at8FwAauJVfncC7O8qh0wE/vboQHz1wGb4zMQeCACz9v33Yeaoh3E3UhJN1dtz79m60uzyYMSINX65ehdfWfI6Ce19G0p1/we3PfYSysjKcOXMGNTU1aGhogM1mg91uh8PhgNvthtfrhcvlQmtrK2w2G+rr61FVVYWKigoIgtDpJ1J5vQIW/X0vvjljQ2pcFP78/cl45+5pGJWVgHq7Ez94Yyesba5wN1MT/rn7tBS4/PCKofh40WW4fdoQAMDTn5Rg/cGqcDZPM2ps7fifVTvR3O7GpNwkfPqTK8IWuAAKC16ysrJQVdX5RKupqYHRaERqamq3rzGbzUhMTOz0I5d4sxFXjcrAez+8FGnxUThS3Yzn1h+R7fMixZGqjuP45HfG4sezRmBibhJW3DIJ35mYA68APPR+MdqcDBQHwusV8ND7xbA73JhWkILX7roYU/JSML8oHy/dfhEA4O3tZdh8tLbH99HpdDAajYiJiUFCQgJSUlKQmZmJhIQE6HS6Tj+R6u3tZdhyrA7RJj3eXTgN8ybm4PIRaXjvh5ciLzUWZ5ra8MTHB8PdTNU729SGX3/0DQDgJ7NG4JG5ozFhcBKevnEc7pqeDwB4ePV+NNqdYWylNiz74ADq7U6MykrAu/dMw/CM+LC2R1HBS1FRETZs2NDpsfXr12Pq1Knd1ruES7YlBr+/aQIAYNXWUzhVZw9zi9TtN2tL4PII+PboTNxxaZ70uF6vw2++Ow45lmicbmzD61+fDGMr1e/jfWdRXNGEhGgT/vT9yTAbO4rtZo3OlDr7pz85BLen71Omyaep1YnnNxwFADwydzRGZXXcUCXFRmHFLZOg0wEf7D2D4oqmMLVSG5797AjsTg+m5CXjwVkd+2bpdDosmzsKIzMT0NjqwgtflPbwLnQhm4/W4vPDNTDqdXjh+5MRZw5/xYmswUtLSwuKi4tRXFwMwDcVuri4GOXlvrqGZcuWYcGCBdLz77vvPpSVlWHJkiUoKSnB66+/jtdeew1Lly6Vs5n9Mmt0Jq4oTIfLI+BPn/OL0V//PdmAzUdrYTLo8Nj1o7vcrSdEm/Dza0cBAF7ZeBy2dqba+8Pt8UoX1B/NHNZtwehD3y5EUqwJR6tb8PG+s6Fuomb87auTsLa5MDIzAbdPy+vy98lDkvHdyYMAgJnbAThW04wP9p4BAPx63hgY9J37DrPRgF9ePxoA8M72MlRa20LeRi0QBEE6T+cX5SmmVkvW4GXXrl2YPHkyJk+eDABYsmQJJk+ejF/96lcAgMrKSimQAYCCggKsXbsWGzduxKRJk/DUU0/hhRdewE033SRnM/vtZ7NHAgD+te8szjTxi9Efr246DgD4f1NykZfa/fjpdybmYERGPJodbvxvQEEv9d6n31ShrN6O5FgT/ueygm6fY4k1YaG/uHHl5hMRXbPSX3aHG29tOwUAeOjqEV0uqKKHvl0IvQ74qrQOB89aQ9hC7Vi5+QQAYPaYTEwYnNTtc2aMSMe0ghS4PALe+PpU6BqnIdtPNGDfaSvMRj0WXTU83M2RyBq8zJw5s0sBnyAIWLVqFQBg1apV2LhxY6fXXHnlldizZw8cDgdOnjyJ++67T84mDsj4wRZMH5YKt1fA29vKwt0c1Smvb8Xnh2ug0/kK7c5Hr9dJf1+19RQ8Xl5U+2qVf8htQVE+YqLOvzbDHdPyEBdlwOGqZmw7Xh+q5mnGh8VnYGt3Iz81FlePyTrv83JTYnHdhBwAwCpeVPusqdWJD/f6soP3XtnzbKL7rhwGAPjfHeVodbplb5vWvLn1FADg5qmDkRpvDm9jAiiq5kWNFhTlA/BVvLtYJ9Ana/wp38uHp12wan3exBwkxZpQaW3H5tKeC0qps7J6O3aXN8Gg1+E2/yyM87HEmnCjf0jjvZ3yzNzTsg/2+M7p26YNOW/WRXRnkW9I6d/7K9HM4dA++ff+Sjg9XozKSsCUvJ7XgbqyMB1DUmLR7HBj7QHOPOqLplYnPj9cDQCd6hGVgMHLAM0anYG0eDPqWhz48nBNuJujGoIg4IO9pwEA37to0AWfH20ySHUC/+BFtU/EC+plw9OQmRh9wefferEvwFn3TRWsrbyo9tapOjt2lzVCrwNumHThc3pKXjKGZ8SjzeXBv/dXhqCF2vHBHl/fcVMv1n/S63W45eJcAOw7+upf+yvh8ggYk53YqfBcCRi8DJDJoMeNk3zp37UH2AH11p7yRpTVtyI2yoBrxp4/vR5I7Ki+PFLD9G8vCYIgZbh609EDwLhBiSjMjIfT48V/SqrlbJ6mSJnEEem9ChJ1Op30/wn7jt47VWfHnvImf5CY06vXiDdIO8saUGNrl7N5miIGib25wQw1Bi9BMGe87+L7eUkNHG6uRdIbq/3ZgDnjshEb1btpd2NzEpGbEoN2lxcbj3DoqDd2lzWivKEVcVEGzB6beeEXwHdRvXacbzXrT79hmr03OgeJve/o54zz9R3bjtejqZVrkfSGOMNoxoh0ZPQiSAR8y1tMHpIEQQA+46J1vXKitgV7/UHid3oZJIYSg5cgmJybjIwEM5odbmxlkeMFebwCPvXfafYlotfpdJjjv6iu40W1V8ThiGv7ECQCHRfVzaW1sDuY5bqQ/aetHUFiD4W658pPi8OorAS4vQI2HGKWqzf+vd9XqNvXbIB4TjMg751P/H3HjBHpyEjoXZAYSgxegkCv10lDH+tYEHZBxRWNaGx1ITHaiGkFfdt0UTzOXxxmlutCBEHAF/46rGt6mXURjcpKQF5qLJxuL748wlquCxGP8xWF6T3O5urOtf6LKgPyCyurt+NErR1GvQ5Xjcro02uvHeu78dlxsgENXHH3gsTvfW+H9UONwUuQiFH9+kNVXJ30Ar487BvyuaIwHUZD307ByblJyEw0o8XhxpbSOjmapxkn6uwob2hFlEGPy4an9em1vqEj3qn21kZ/R9/XCyoAKZv4VWkdZx1dgDgp4uL8FCRG923V9SGpsRiTnQiPV8CGQzyne9Jgd2Kvf/Xnq0Ypc2duBi9BcklBCpJjTWhsdWFPeVO4m6No4l3qt/rR0ev1OlzrvxNgMWnPxI5+2tCUfi3nLV5UNx2p5TIAPahtdmDfad9CczNH9r2jL8yMx9C0ODg9XnzFgLxHX/hr3fp7QRVvMjccYjaxJ5uP1kIQfBnY7lbjVgIGL0FiNOhx+QjfF+rrY+yAzqfK2o5DlTbodL7MS39cOVI8zqwv6omY9p05su9BIgBMGGRBUqwJLQ439p9uCmLLtGWTfyPL8YMs/aoN0Ol00neBfcf5tTrd2H7C953vz40P0NF37DhRzwx5D8S+o7/HORQYvATR5cN9O1+zAzq/TUd9X4oJg5OQ1s/VGi8pSIVRr0N5QyvK61uD2TzNaHG48d+TDQCAq/qRDQB8Wa7LhvmGm7aUMlA8H7Gj7+9xBnwLNQLsO3qy7Xg9nG4vBifHYFh6/3Y0HptjgSXGhGaHG/vPcFuG7ni8ghSQ92cYNFQYvATRdH9Hv7eiiWPX5yFOcR5IRx9vNmLykCQAwNfH2dl3Z+uxOrg8AvJSYzG0nx09AKlWhhfV7nm8Ar7yd/QzB9DRTxuaAoNeh1P1rahoYEDenY6+I6PLBq69ZdDrUDTUd5O5led0t/adbkJTqwuWGBMm5yaFuznnxeAliHJTYpGXGguPV5DueqmDIAjY4T8uM0b0rYD0XOJFdQs7oG5tP+E7zpf3sVD3XOLr95Q3csp0N0oqbbC1u5FgNmLieTYH7I2EaBMm+S8UWxmQd0scMrp8oH3HCPYdPRGPc9HQ1D5PqAgl5bZMpTruVJlmP1dpTQsa7E5Em/QYPyhpQO8lXlS3Ha+Hlxs1drHjpO/8m+a/y+yvIamxyE2Jgdsr4L+nGJCfS+zop+YnX3Avowth33F+9S0OlNa0APDNNBoIKSAva0Kbk8stnGuH/8bnkj4uYxFqDF6CjGPX5ydmXS4akowo48BOvYm5SYiLMqDB7kRJlS0YzdMMW7sLhyp9x6Sv6+h0R6x7+ZozYboQM6wDDRIB4LJhHTVzDMg72+kPnEdmJiAlLmpA75WfGotBSTFwerzS+5KP2+PF7rJGAL6hTCVj8BJk4njqkepmLoR0jh3+u9RpBQPv6E0GvXRnIA6RkM+uUw0QBF8n3Zs9di5kuj8g336SGYFA3oBsVDDuUicPSUaMyYB6uxPHa1sG/H5asj2I2QCdTocif6AoZs7I51ClDS0ONxKijYrbiPFcDF6CLDkuCsMzfAWSe/wRLPnqXcS71GClI6f608c8zp3tCPJxvjg/GQBQUtnMupcApTUtaGp1IcZkwPhBlgG/X5RRj4m5vvfZzXO6k44MV3DPaR7nzqQ+Oj9lwMOgcmPwIoMpQ/xfjHJ+MUSn6ltR0+xAlEEvzRQaqCl5vuO8q6wBgsA0u0gcsw5GhgvwbWqXY4mGxytgH9d7kYh1RVPykmEKUmGjeE7zotrB2uqShoaDFZCLx3nf6SYuwBggmBkuuTF4kYHUAZ1iByQSh4wm5SYh2tS3vV/OZ+LgJBj1OlTbHDhr5Tb3AGB3uPGNf/2KYI5ZX+Q/p5nl6tARJAbvOEt9B298JDv9w6BD0+KCtkHg0LR4WGJMaHd5cegsa+YA3zCoWAMUjBouuTF4kcGU/I6o3ulmVA/4ptoCvlkZwRITZcDYHN+4LO9UffaftsLtFZBticbg5Nigve9UZgS66Dingxe8TM71HecTtXbWzPnJ0Xfo9Tpmuc5xoq4F1jbfMKjYryoZgxcZDE2LQ1KsCQ63V5r1EemK/Zt8TR4SvA4I6MgI7OasAQCBxzkpqO87Jc93gd5d1siZMACqbe2otLZDrwMmDB54vYsoOS4Kw9LjADDLJZKr72CWq7O9/j35xg+yBG0YVE7Kb6EK6XQ6qe5lFy+qaG53SWs0iAWJwcIOqLPiCt9xGMiCad0ZlZ2AGJMBtnY3Z8Kgo6MvzEzo16aXPeE53cHjFbDfv+llsM/pi4Z0DO+zZq4jSJwU5BsfuTB4kYlUI8AOCAfOWCEIwKCkmKCNWYvEjp4zYXz2Vfg6+klBXtbbZOBMmEBi4XKwjzPAot1AJ2pb0OJwI8ZkQGFm/7e56M7EXAsMeh2qbO2smUPHOR3sIFEuDF5kIkb14h1aJJMiehk6+mxLDLL9M2EORPhGa1XWdlTZfEMZ44M4lCHiOd2h2H8M5DinxeO8/3RTxO98vNffd4wfbAn6UvWxUUaMzk7wfU6E32S2uzw4XNkMgJmXiDduUCJ0OqDS2o66Fke4mxNWYkcf7CEjkVhz8E2EBy/ikFFhZgJio4I7lAH4dgIHEPFBom8oowmAb6XnYBuaHo+4KAPaXV4cr7UH/f3VRM4bH4DntOibM75C//QEM3Iswc2Oy4XBi0wSok0YmuYrvIv0L0ZHij24BXcisQMSx8YjVbF/yCjYxboiMUg8Wt2Mdlfk7glzvLYFdqcHsVEGFGYmBP39DXodxvoXvdsf4evq7JM7ePEf5wMR33c0AfAd5/7u2B1qDF5kJEX1EfzFqLS2odrmgEGvC8oqpN0ZN4iZF6Aj8yJXR59tiUZqXBTcXgGHq5pl+Qw1KA6YlSHXKqQTeE6jzemRzjO5zmlxeNVXlxe5RbtyZ7jkwOBFRuOku6fI7YDEAtLCzATERAVncbpziUHRiTo7bO0uWT5D6bxeQQqS5RjKAHyz6KTOPoIzAnIW64rE47w/goOXQ5VWePxDGdkyDWUUZiYgyqhHc7sbZfWtsnyGGojXKAYvBIC1GABw6Kzv3z5+kHyLHqXERWFwcgyAyD3WZQ2tsDs9MBv1GJ4e3FkZgSYwIMdB/4qs42TKJAIdAfmhs7aIXb5ePM7jB1lkG8owGfQYne3rmyI1ULS2uVDe4AvcxuXId04HG4MXGY3JToReB1TZ2lFji8ypeOIifWOy5V2xcXyEj12LS5yPykoI+qyMQOIFO1LruDxeAYf9++yMkXEV0vzUOCSYjXC4vSitjsx1dcRzWu6+o6PupUnWz1Gqw/4+elBSDCyxpjC3pvcYvMgozmyUdpiO1M5e6oBkjugjPc1+qNL375bzggp01HEdrW5GmzPyinZP1tnR7vIixmRAfmqcbJ+j1+sCAsUm2T5HyQ6elT9IBAL6jgi98QnVcQ42Bi8yGz8oCUBkfjEa7U5p8SdxPQW5TPAf50jNvBwMUZCYmWhGeoIZXqEjYIokB/3DoKOzE2Qr1hVNiOCLqsvjxZFqX7Gu3PvsiMf54FlbRG59EarseLAxeJHZOH+tRyTucST+m/NSY5EQLW86UjzO5Q2tEVm0G6oUu06nwzj/xSQSd+OVOvoQ3KWK06Ujse84UWuH0+1FvNmI3CBuMNqd4enxMBv1aHG4pdqPSCJ+j9WwGWMgBi8yE4vBSiKwAwrVBRUAkmKjpBkJRyJsGm9tswM1zQ7odL6aF7mJ5/Shysg6zkDgOS1/YeMYf7bySFVzxGUExKze6OwE6GXOcBkNemm9nkjrp51uL0prfN9jDhtRJ6OzfCfE6ca2iMsIhDodKV64D0dYByR2uAWpcUHfJLA7o/z/f4qFq5FCEISAGi75z+n81DhEGfVodXoiLiNw8Ex4+o6SCLvxKa1phssjIDHaiEFJMeFuTp8weJGZJdYkLbd8NMK+GFI6UsZp0oGkLFekHecQDmUAkZsRqG12oN7uhD5EGS6jQY+R/oxApAWK4jk9NkRTd8W+I9JufAKDcbWsrCti8BICoyJw6Kjd5cGxWt8Uz1Ck2IHIPM5A6GcLRGpGQDzOw9LjEW2SZ8HFc4lBUiQN0QmCEPKAfFS2GCRGznEGArPj6lnfRRSS4OWll15CQUEBoqOjMWXKFHz11Vfnfe7GjRuh0+m6/Bw+fDgUTZVFJKYkj1Y3w+MVkBIXhcxEc0g+c3RWZGYExIUAQ5Vi99UI+JYAiKSMQKgvqEDAEF0EBeRnre1oanXBqNdJS03ITRzeL29oRXMEDe8fVGmxLhCC4OX999/H4sWL8eijj2Lv3r2YMWMG5syZg/Ly8h5fd+TIEVRWVko/I0aMkLupsonEot3AYt1QpSML0iIvI9DqdONEnW/n4VBeVMXOPpIyAqEsQBeJSwyURFKQ6D/OwzNCl+FKjotCVqJ/eL86Ms5pQRBQotI1XoAQBC/PP/887r77btxzzz0YPXo0VqxYgdzcXLz88ss9vi4jIwNZWVnSj8HQ/UnscDhgs9k6/SjN6AisEegYsw7dlyISMwJHqpohCEB6ghkZCaHbyj4SMwKhrsMAOoLEioa2iMkIhLIoOpA4dFQSIQH56cY2NDvciDLoMUzGLUXkImvw4nQ6sXv3bsyePbvT47Nnz8bWrVt7fO3kyZORnZ2NWbNm4csvvzzv85YvXw6LxSL95ObmBqXtwZSfGgezPyNQ0RgZGYFwrdoodvaR0gEdDEM2AOgIyCOlRqDF4cZJf4ZL7gUXA0ViRuBgiIdBRZGWIReP84jMeEQZ1Vf+KmuL6+rq4PF4kJmZ2enxzMxMVFVVdfua7OxsrFy5EqtXr8YHH3yAkSNHYtasWdi8eXO3z1+2bBmsVqv0U1FREfR/x0BF2joCXq8g/TtD3QFFWtFuOOowAGBUhNUIiBmmrMRopMaHpoZLJGYEImWILnzndGQF5OEYBg0m+ReFALrUPAiCcN46iJEjR2LkyJHS70VFRaioqMCzzz6LK664osvzzWYzzObQdib9MSorAQfOWFFS2Yxrx2WHuzmyOtPUhlanB1EGPQrS5Nv/pTujI6wDKvXfjYdi6m4gsRC72ubA0epmTMlLCennh9pR/+aII0N8nAFfoLjxSG1EDNHZHW6cbmwD0BEgh4qYeRGH9+VeHC/cwnlOB4OsmZe0tDQYDIYuWZaampou2ZieXHrppSgtLQ1280JqdAQt7CVOkS5Ii5N1h+PuiJmX8oZWtDjcIf3sUBMEAaU1vmMdqlkZgTrS7NoPFI/5j/OIsBznyAnIT9T6huZS46KQEhcV0s8emhaHKINvmwAxgNIysZ8ekcngpYuoqChMmTIFGzZs6PT4hg0bMH369F6/z969e5Gdre5sRSQVgx2rDt8FNXBq9hGNB4r1dieaWl3Q6RCWgrtRWZEzRCcuoR7OIPFwpfY3DhSP87AwHGejQY8R/oJ/rc/ucnm8OOWv4QrHOR0Msg8bLVmyBPPnz8fUqVNRVFSElStXory8HPfddx8AX83KmTNn8NZbbwEAVqxYgfz8fIwdOxZOpxPvvPMOVq9ejdWrV8vdVFkFriPQ4nAjPgTLuIeLeJcajg4I8F1Uq221KKnU9nCGeJwHJ8eEbEppoEjKCBwPY4arwJ8RsDs9ON3YhiGp8m5UGE7HwnicAV/fcfCsDYcrm3HN2KywtCEUyurtcHsFxEYZpBXg1Ub2K+gtt9yC+vp6PPnkk6isrMS4ceOwdu1a5OXlAQAqKys7rfnidDqxdOlSnDlzBjExMRg7diw++eQTzJ07V+6mykqcNVBla8eRKpu2L6q14e2ARmcnYtPRWs1nBKSOPkzTHM/NCGi1RsDucOOstR1AeM5pkz8jcPCsDYcqbZERvITtnI6MiRXSDWZ6vOq2BRCF5Pb//vvvx/3339/t31atWtXp95///Of4+c9/HoJWhd7IrAR/8NKi2eBFEISwd0Bi8arWp5aG+y61IC0OJoMOdqcHZ5rakJuizYvqcX8wnhYfhaTY0NZhiEZmJeDgWRuOVjfj2nHazQiE+8ZHHApl36F86pvcrWLiAmriuK4W1bU4YW3z1WEMTQ/tTCOROG59tLoFgqDdGoHjYe7oTQY9hqb5PlvsDLUo8C41XMSlFko1fJydbi/K6n3rYInf4VAT++hT9XY43J6wtCEUGLxQn4zI8HdA1drtgMQvxZCU2LDUYQC+i4xeB1jbXKhrcYalDaHQ0QGFb7bA8AgIyKWZRmG6oAIds5xKNZwRKKu3w+MVEG82SgvzhVp6ghmJ0UZ4hY6ZT1oU7gxXMDB4CaGI6OhrwztkBADRJgOG+IcwtNrZN7e7UBnGOgxRYYY4RKf9gDyc57SYeTlRa4fb4w1bO+TUkeGKC1sdhk6nk6YOazXL5fUKOF6j7plGAIOXkBLvnqptDljbtLkqaThnZQQSsxFa7YCO++8K0xPMsMSYwtaOEVJArs3jDCgjwzUoKQbRJj2cHq9mNx0N9yxFkTS8r9Ebn7PWNrS5PDAZdMhTcZ0ag5cQSog2Ids/Le2YRrMv4VynIVBH3Ys2j7MSsgFAR0B+rLpZk/VFTrcXZf5gIZwBuV6vkz5fq1mucC64GGi4xof3xeOcnxr6RUSDSb0tV6nh0ti1Nr8YSikEK9R4RkApxzk/LQ5GvW/GkTidWEtOBdRhiIsfhos4RKfVGx+lBeRaHd5XSnZ8oBi8hJg4dq3FuydbuwvVNgeA8H8xRkgdvfaOM6Cc4MUUsH+VFtPsgUMZ4V4PY7iGA3KvV8CJOmWc02Iffaq+VZMzjpTSdwwUg5cQ03JUL0b0GQlmJEaHrw4DEBdfAhrsTtS1OMLaFjmEe5p0IGkarwYDcqVkAwBtF0efaWpDu8uLKINeKrYPl8xEMxLMRni8Ak7Vaa++iMEL9cuISOjoFfCliIkyIDdZnHGkrWPtcHtQVq+c2QLDNRyQK+mcFuu4jte2wKOxPY7E4xyOzVzP5ZtxpM2aOUEQNDFNGmDwEnLiCVNla4etXVszjqRdShXypdDqooCn6lrhFYCEaCMyEsJbhwFoeyg0nLtJn2twcqxvxpFbezOOlBQkAgFrcmlsiC7cm7kGE4OXELPEmKTCP61lBJRWCKbVWQOBOxyHuw4D6MgIHKvR1orGHq+gqOE5g14nXXC0Vl+klGnSohEanS4d7s1cg4nBSxiId6pamzWguA5Io8MZSqrDAPxTLvU6tDjcqLJpZ8bRmcY2ONxeRBn1itm3qeOc1lZArrShDK0uVKe0vmMgGLyEgRbXa2h3eaRUtlI6IK0WkiotxR5l1CPfP+NIS+f0sVpf0Ds0LQ4GheyY3VEzp52AXBAE6d+jlIuqGCSeqrPD6dbOisZK6zsGgsFLGGhxPPVknR1eAUiMNiI9Pvx1GAAwLMN3Qa23O1GvoRlHSuyAtLj3jtIyiYA2My+1LQ7Y2t1h3cz1XNmWaMSbjXB7BZyq184eR0rsO/qLwUsYiIWkxzTY0SulDgMAYqOMyE2JAaCd9V48XgEn6pQz00g0IlN76+ooMcVeGHCctTLjSDzOucnh28z1XDqdTpMLijJ4oQERMy9nre1o1siMI6V+KcRjfVQjF9XTja1w+uswBicrow4D6MgIaGlqqRLP6dyUWJiNejjcXpxu1MaMo+MKmtEVSGvndHO7S6pJG54evn26goXBSxhYYk1I8w+tHNfItutKK7gTie05rpHgRbygKqkOA+g4zlqZcSQIgiKDF4NeJ61orJUslxKPMxBwTtdq4zh32sw1NryLiAYDg5cwGZ6hrQ6o4+5JWRG9mPLXynEWax3EYRqlKEiLg14H2NrdqNVAfVFts68OQ6+DFCwoRWCgqAVicKCk2iJAuzc+ShoGHQgGL2Gipb13lFqHAXTsB6OF4wwotwOKNhmkZd21cKzFf8OQFOXUYYi01HcAys28iMf5RJ1dE/VFSj3O/cXgJUy0dPdU0eCrw4g26TEoKSbczekkcEVjLdQXKbkD0tKdqlKHQQFtDWcoaTPXcw1KjoHZ6FvRuEIDKxorue/oDwYvYSJ19BrogEqlOox46BVUhwEAidEmaQl9tQeKgiAobhXjQGLaXwvTeJU4TVokBS/V6q8vEo+zEjZzPZdBr8NQDQ07HwtYmVsLGLyEiXgCldXb0e5S97brSo/otZLlqml2oNnhq8PIT1POTCORluqLlDo8B/j+v9frgGaHGzXN6q4vUkvfofaAXImLiA4Ug5cwyUjwbbvuFaD6RZDU0gGpPc0uHue81DiYjcqqwwC0EyQCyj6nzUYD8lK1UfCv1GnSIq0E5Kfq7YrazDUYGLyEiU6nk1LSav9iKLk+ANBOLYY0lKHAbADQMcRS0+xQ9Y7ptnaXlNFQ4rAR0HEOqL7vUHCQCGjvxkdJi4gOFIOXMNLCnarS6zAA7dw9Kb2jT4zu2DFdzcdabHtmovLqMERa6DsA5U6TFgXe+Ki5vkjJw6D9xeAljEZooAOqtjnQ4nDDoNchP1VZ62GIxA6ovKFV1fVFpSoouNPCRfVYtbKDREAbx7nd5ZFm8Sj1WOenxcLg3zFdnBWlRkq/8ekPBi9hpIUOqKMOIxZRRmWeTukJZiRGq7++6FiNr+1KrQ8AOtbGUPMQnZgNUNqCi4FGaGA4Q4mbuZ7LbDQgTwPrFzF4oaASTyQ1L4IkTb9TcDoycJM1tXZA1lYX6lqUXYcBQBN1XEqeJi0S21bb7IC1VZ31RWqpw+g4p9W5x5GSFxEdCAYvYTQ42ZetcKp4k7VSlUT0at8h9litr+PMtkQj3mwMc2vOTwxi1Ty1VA31AfFmI7It0QA6zg21UVvfodYsl7iIqNI2cx0oBi9hZNDrMNS/b4pqL6rsgEJCbce5olGd9UXtLg8qGpVdhyFSezZRqfuhnUsKyFXeRw9Lj1fUZq4DxeAlzNR+UT2u8GnSIrVPl1b6NGlRWnwULDEmCAJwQoU7pp+otUMQAEuMCWnxUeFuTo/UPl1abQG5WldDV/pSFv3F4CXM1Hz31NTqRF2LE4DyL6rD09W9yZpaOvpO9UUq7OwDO3ol12EA6u473B4vTqqkDkOsealrcaKp1Rnm1vSdGoZB+4PBS5ipeYdYsc05lmjEKbgOA1D/JmtqqQ8A1L2uzrFq5Regi9QcJFY0tsHpUeZmrueKNxuRI9YXqfGcVlHf0RcMXsJMzYsgqWFWhkjNm6y1OT0409QGQB0dkJqH6NSUYhfbeLqxTXX1ReJ3UImbuXZHrbPo1LCIaH8xeAkzNW+ydkwlBXcita6Ncby2BYIAJMeakBqn7DoMABieqc6OHgi4S81UfkefGheF5FhffZHa6jHUlg1Q6xCd0jdzHYiQBC8vvfQSCgoKEB0djSlTpuCrr77q8fmbNm3ClClTEB0djaFDh+KVV14JRTPDQs2brKnpLhVQ73Tp4yqqwwA6hlxO1LXA7fGGuTW916kOQwXDRmpev0i1wYtKg0SlbuY6ELIHL++//z4WL16MRx99FHv37sWMGTMwZ84clJeXd/v8kydPYu7cuZgxYwb27t2LRx55BA8++CBWr14td1PDRq2zBkpVsIx6ILV3QGo5zoOSYhBjMsDlEVCuovqi8oZWuDwCYkwGxddhiNQbvCh/q4tAaq3jKvXXcCl9QkV/yB68PP/887j77rtxzz33YPTo0VixYgVyc3Px8ssvd/v8V155BUOGDMGKFSswevRo3HPPPfif//kfPPvss90+3+FwwGazdfpRGykjoKIVHFudblXVYQDqrS9SyzRpkV6vw9B09WUTpTqM9DhV1GEA6rzxEQQBx2uVv9VFoMD6olanO8yt6T1pqwsVDIP2lazBi9PpxO7duzF79uxOj8+ePRtbt27t9jXbtm3r8vxrrrkGu3btgsvVdRns5cuXw2KxSD+5ubnB+weEiBrvnsQ1PFLiopCigjoMAMhPjVPlJmtqy7wA6sxyqW0YFFBn31Fla5c2c81T6Gau50qNNyM51rfDuJrWL9LqNGlA5uClrq4OHo8HmZmZnR7PzMxEVVVVt6+pqqrq9vlutxt1dXVdnr9s2TJYrVbpp6KiInj/gBDp6ID4pZBTlFGvuk3WXCpaDyOQGtPs0m7SKjqnxXPiVL1dNfVFatjMtTtqDBTFa4qa+o7eCsmZc26RoSAIPRYedvf87h4HALPZjMTExE4/aiOeWHUt6tlkTU3TpAOpbZO1svpWuL2+OowcizrqMAB1TpdWY+Ylx9JRX1SmkvoiNd74AMBwla3JpZbNXPtL1uAlLS0NBoOhS5alpqamS3ZFlJWV1e3zjUYjUlNTZWtrOKlxkzU1DmUA6hvO6AgS1VOHAXS+S1VDfZFa18PQ63UYlqGu+iLV9x1qOc4q2cy1v2QNXqKiojBlyhRs2LCh0+MbNmzA9OnTu31NUVFRl+evX78eU6dOhclkkq2t4aa+L4a4xovKOiCVbbJ2XDrO6lhLR5Tnry+yOz2otLaHuzkXVGlth93pgVFFdRgitQ3RqT54UdmNj9qOc2/JPmy0ZMkS/O1vf8Prr7+OkpISPPTQQygvL8d9990HwFezsmDBAun59913H8rKyrBkyRKUlJTg9ddfx2uvvYalS5fK3dSwUtOsAZfHi1MqrMMAOqru1bKol1o7oCijHvmp6qkvUmsdBgCMyFTXcIZaNnM9l1RfVGeHSwX1RWqbpdhXsueSbrnlFtTX1+PJJ59EZWUlxo0bh7Vr1yIvLw8AUFlZ2WnNl4KCAqxduxYPPfQQ/vKXvyAnJwcvvPACbrrpJrmbGlZqyryU1dvh9gqIizJIw11qIX6RxU3WkmKVPVNKzR3Q8Ix4HK+141hNC64oTA93c3qk1iARUNeNT6NdPZu5nivHEo3YKANanR6U1bcq/lwR90PT4jRpIATBCwDcf//9uP/++7v926pVq7o8duWVV2LPnj0yt0pZOtZ6UX4HFFisq4YVXwPF+TdZO2ttx7GaFkzNTwl3k87L6xVUe5cK+Nr82cFqVaTZ1VisK5KKo2tb4PUKiq6NEo/zoKQYxW/mei6dTodh6fE4cMaKYzXNij9X1FoY3Vvqyo9qmPhFONPUhjansjdZU/uXQi2brJ21tqFVqsNQ374kasomHlPZatGB8lJjYdTr0Or0oNKm7Poitc5SFKnlnFbbZq79weBFIdS0yRo7oNAQ25efFgeTQX1f1eHpvloMNUyXljIv6eoqjAYAk0GP/DR1zDhS+42PWvqOTpu5xpvD3RxZqK9H1KjATdYUH7yoOMUOqGfWgNo7enEKb73diQa7M8ytOb+GgPaJbVYbtcw4UnNtEaCevkPNw829xeBFQdQQ1Xu9Ao6rfNVGtUyXVnsHFBtllDY4VPI5LbZtUFIMYqPUVYch6ug7lL1OlFaCl+M1dni9yl2/SO3HuTcYvCiIGmYNnLW2oc3lgcmgk5baV5vA+iIlb7J2TAOzBdRQX6SFjl4NNz5q3Mz1XHkpsTAZdGhzeXDW2hbu5pyXmmcp9haDFwVRQwcktq0gLQ5GFdZhAL5N1sTNJJW8yZoWOqARKjqn1XpBBdTRd4jftVQVbeZ6LqNBj/xU5dcXddz4qK+Gq7fUefXRqMBN1pS6CJIWOnpA+TUC9S0ONLa6oNOpO3hRQ42A2mu4AN85otMBja0u1Lcoc8f0Uv+QlloL/UVKDxTVuplrXzF4UZBOm6zVK3OTNbUXkYqUPpxRGlCHERNlCHNr+k8NGzQeq/ZdVNXc0cdEGRRfX6SZGx+F9x3iZq6xUQbkqGwR0b5g8KIger1O8V8MtU+TFqnlOKu+o0/vqC+yO5RXX2R3uHHWv/eS2gNypWe5tHLjo5a+w5eNU+6ChQPF4EVhlDxdWhAETaTYAXb0oZIcF4VUBdcXid+z1LgoJKu0DkOk9KFQzQTkAX2HEndMV/ssxd5i8KIwSo7q6+1ONGmgDgNQ/iZrWuqApCG6WuVN49VKJhFQdt/h8niloXC1n9NifVFTqwv1Cly/SCtB4oUweFEYJU+XFts0ODkG0Sb11mEAHZusub0CyuqVlxHQUgck7dulwHV1tHicldh3qHkz13NFmwwYnKzc+iItzFLsDQYvCnPuJmtKIk2/y1D/9DtxkzVAeR1Qi8ONSrEOQwsXVYUeZyDwnNbAcfb/Gyqt7WhRWH1RYJCohToMpZ7TgZu5qnl9qN5g8KIwSt5kTUt3qYBy1yARZ+akxZuRFKvuOgygoxNVYn2RVmq4ACApNgpp/n1slDa7S0vDc4Bys1yVtna0OtW9iGhvMXhRGCVvsibVYWgkHanU6dIdQaI699k5l9jRl9W3wulWTn2R062dOgyReM4o95zWynFW5sQKaTPXVPUuItpb2v7XqdQIqUZAWQWOYs2C5u6eFNYBlWqso89KjEa82QiPwuqLTtXb4fHXYWQlqrsOQ6T4c1ojNz7D/UPnSqvjKtXAmkW9xeBFgZQY1dvaXaiyaacOA1DuJmvi5npaqC0CxPoi5WUExAvP8MwETdRhAMqsxfB4Bc0tVy/2HVW2djS3u8Lcmg5aquG6EAYvCqTE8VSxo89KjIYlxhTm1gSHUjdZK63RXsGdEofoxOXqCzXU0YsZASXVvJxpbIPD7UWUUY8hGqnDsMSYkJ7gry9S0PpFR/2ZF60EiT1h8KJASpwFI2UDNHRBDdxkrVQhx7rN6UF5g68OQyuZFyBgurRCjjPQEZBr6ZwO3B/N4faEuTU+4gV1WHo8DHptZLgA5WW5BEHQ5I3P+TB4USAlbrImdfQauqACytt753htCwQBSI41IS1e/TONRErr6IGOzIuW7lIzE82INxvhFYBTdcrYH028oBZq7IKqtAx5TbMDze1uGPQ6FKRpo9i/JwxeFEiJm6wd1WhEr7QOqDSg3kUrdRhAx3E+UaeM9YsCd97VUn2ATqdT3BCdWESqpeMMKK/vEDNceamxMBvVvYhobzB4USilzRo4xg4oJLQ4lAEAQ1JiEWXQo93lxZmm8NcXldXb4fL4ZhqJNwpaobT1izpmz2knwwUob2JFR3ZcW33H+TB4USglpdmb213SzrtaHTZSyiZrpRqdLWA06KVUthLOaWmmkUZWfA2kpBsfb8BMI60OG5UppL5IKkDX0DBoTxi8KJS0KqkCOnqxDRkJZlhitTHTSKS0TdbEFLsWOyAlZbmOShkuDR5nBd34nGlqQ5vLgyiDdmYaiTISzEiIVk59UWBAHgkYvCiUkjp68UuhxQuqkjZZa3d1zDQarrG7VEBZ06U7aou0d5yl+qLaFnjCXF8kHueh6dpb8VWn0wXMogvvgqKCIEg1L1rsp7ujrbNJQ4an+05AJWyyJn4xtRrRi3eq4Z7Ge6LWDq/gX0PCv0eNliilowcCFvPSYJCYmxKLKKMeDrcXpxvDmxEo1XCGC1BOlqu22QFbuxt6HSJiphHA4EWxLLEmxWyydlSjRaQipUyX7hiz1l4dBtC5ow9nfZHb48WJWnGmkfYuqga9DkMVUl90VONFpErJkIvHOS81DtEm7c80Ahi8KJpSNlnrKLjTXkcPKKcD6hiz1uZxHpoeB50OsLW7URvG9YvKGlrh9HgRY9LeTCORUobojgUE5FqkmL5Dw8Og58PgRcGUMGugxeGWprZqZVO1cymlA+oYs9bmcY42GZCb7CvaDOexltYdyYyHXkMrvgZSwnCG1ytodpq0qGP9IntY64siaWVdEYMXBVNCByR+dlq8Gclx2lnxNZBYXxTuTdY6NlXTZkcPdNwZhnOILhJmZUizFcN443PW2oZWpwcmgw55qdqaaSQanOyrL3KGub6oYyFA7fYd52LwomBikVt4O3ptZwMAX31RuDdZc7g9OFXv+2wtH2slZLlKNT4MCnQ+zuGqLxKP89C0eJg0NtNIZNDrwr4XnW+mETMvpCDSIkgNrWFbBEmri6adK9xZLnGmUWK0UQqktGiYAoZCj2p0tehABWlx0OuA5nY3apvDU18k3vhocdp/oHAH5LUtDljbXNDpOjb1jQQMXhQsI8GMBLMRHq8QtkWQDlf5OqCRWYlh+fxQCfc03iP+4zwqK1GTM41E0nGuDk9H7/J4peXcR2ZpN/NiNhqkReHCtQTA4Ur/Oa3hDBcQ/qUWxL6jIIJmGgEMXhRNCZuslVTaAACjsjXeAYW5FiPSjnNNswO2MNQXHa9tgcsjIMFs1OxMI1G4MwIlYkCeHRk3PuyjQ4vBi8KF84tR1+JAbbMDOh0wUut3T+HugAIyL1qWGG1Chn9YLBzHWsoGZGtr1+7uhPPGx+XxStOkR2k4wwV0vvEJR32RdE5rvO84l6zBS2NjI+bPnw+LxQKLxYL58+ejqampx9fcdddd0Ol0nX4uvfRSOZupaOGcLi1+KfJSYhFnNob880NJPM7lDa1od4W+vki8exodAXdP4QwUO46z9jv6cNZxBWa4xO03tCo/LdZXX+RwoyYM9UWHIuicDiRr8HLbbbehuLgY69atw7p161BcXIz58+df8HXXXnstKisrpZ+1a9fK2UxFk8ZTq0Nfi3G4yp+OjICIXqwv8grAybrQzjgKzHBpeQaMKKzBS4RkuIDAOi5muORkNhqQl+pbUDTUtVxOd0cNl9YzXOeS7Xa6pKQE69atw/bt2zFt2jQAwF//+lcUFRXhyJEjGDly5HlfazabkZWVJVfTVEUsKjxRa4fT7UWUMXQjfSX+DigSInqdTofCrATsLmvEkarmkP6bxYK7SMhwAR0BmlgMHkqHIyjDJS61UNfiQF2LQ9puJBQiKcMF+JY3OFlnx+EqGy4fkRayzz1RFzkZrnPJdiXctm0bLBaLFLgAwKWXXgqLxYKtW7f2+NqNGzciIyMDhYWFWLhwIWpqas77XIfDAZvN1ulHSwYnxyAh2ghnwCyJUIm0QrAx/o5WTMOGinScIyAbAABjcvzH+Wxoj3N9iwM1EZThijcbke9fHK4k1Od0BGW4AGBMtgVAGPuOCMhwnUu24KWqqgoZGRldHs/IyEBVVdV5Xzdnzhy8++67+OKLL/Dcc89h586d+Na3vgWHo/uxxOXLl0s1NRaLBbm5uUH7NyiBTqfruKiGsLP3Fdz5gqXREdIBjQ3TRTWSMlyA73zS63wZgZrm9pB97uEIy3ABwNgc/0U1xOf04Qi78QlX3xGpxbpAP4KXxx9/vEtB7bk/u3btAoBuI0FBEHqMEG+55RZcd911GDduHObNm4dPP/0UR48exSeffNLt85ctWwar1Sr9VFRU9PWfpHjinerBEH4xTtbZ4fR4ER9B6ciO42wN6awBqbYoQjr6mCgDCvy7Hoeys4+0oQwgIMsVwoxAYIZL67MUReJxPlbTEtIFRcUMVySd06I+334sWrQIt956a4/Pyc/Px/79+1FdXd3lb7W1tcjMzOz152VnZyMvLw+lpaXd/t1sNsNs1u6KpEDgcIY1ZJ8pdvQjsxI0u3nduQozE2DQ69DY6kKVrR3ZFvmDNpfHKxX5RUqGCwDG5FhwvNaOQ5U2zBzZNUMrh5IIvEsNR9Y2EjNc2ZZoJMWa0NTqQml1C8YNsoTkcyNtaD9Qn8+stLQ0pKVduCCpqKgIVqsV//3vf3HJJZcAAHbs2AGr1Yrp06f3+vPq6+tRUVGB7OzsvjZVMwJrBC6UuQqWjo4+cr4U0SYDhqfH40h1Mw6dtYUkeInEDBfgS7P/a9/ZkGYTIy3DBXT0HcdrW9Dm9CAmSv4VWCOthgvoGN7ferweh87aQhK8RNI6XN2RreZl9OjRuPbaa7Fw4UJs374d27dvx8KFC3H99dd3mmk0atQorFmzBgDQ0tKCpUuXYtu2bTh16hQ2btyIefPmIS0tDd/97nflaqrijchIgMmgg63djTNNbSH5TLGjj7R0ZKiLSSMxwwV0ZARKQnSc3QEZrjERdE5nJJiRFh8FrwAcCdFyC5FWwyUaG+IhukibpXguWefdvvvuuxg/fjxmz56N2bNnY8KECXj77bc7PefIkSOwWn3DIQaDAQcOHMANN9yAwsJC3HnnnSgsLMS2bduQkBB5kaUoyqiXtjoP1Z1qJC2aFki8sIXuOEdehgvoCBJP1tthd7hl/7wTARkurW8LEEin00lBRKgD8kjKcAGda+ZCIRIzXIFkDddSUlLwzjvv9PicwMLImJgYfPbZZ3I2SbXG5CTiUKUNh87acM1YedfAabA7UW3zze7S+oaM5wr13VOkZrjS4s3ITDSj2ubA4apmTMlLlvXzIjXDBfj6jq9K60JSMxeJsxRF4nTpkspmeL2C7OdZScBCgJGIexupRCjXIBGnOeamxCA+wtKRYhBR3tAako0DO+6eIq8DCuU5HakZLiC0Rbsnan0ZrrgoQ0TVcAHA0PQ4RBn1aHG4UdHYKvvnRXrmhcGLSoRyHYEDZ3x3aONyQlMxryTJcVHIsUQD6FhDQS41ze2otvkK7iIt8wIE1hfJnxH4RjynQzQLREnEtV5KKpvh8cq7BIDYd4zNsURchstk0EvBsdz9dLvLg6P+GqZxgyKv7wAYvKjGaH9Hf6apDU2tTlk/S+yAxg+OvI4eCN3YtXhBHZ4eH5EFd9KqpDJ39IIgdJzTERi8FKTFIdqkR5vLg1P18u7b9U2k9x0hqpk7UtUMt1dASlxURNVwBWLwohKJ0SbkpvhOUrnT7GJHP2FQkqyfo1RjQrQq6f7Tkd3Ri9nEw1XNcHu8sn1ORUMbrG0uRBn0EbEtwLkMep00tCD/Od0EAJgQoed0qBYF3B8QjEfatgAiBi8qEoqxa2urC2X1vvHaSE1HhqoW48DpyM0GAMCQlFjERRngcHtl3cl7/5kmAL6Zc6Hc2FRJQnFRdXu80vtH4vAcELr6ogP+IDFS+w6AwYuqiGPXYmpWDmLWZUhKLJJio2T7HCUTMwJHq5vR7pJnqW9BEKS7p0i9S9XrddJF9YCc53SEZ7iAjnNazr7jWG0L2l2+6egFqXGyfY6SjcpOhE4HVNnaZd2368AZX3AUyec0gxcVES9y+07L1wGJd6mR/KUYnByDlLgouDyCbLvxVtt8q2PqdR21H5FowuAkAEBxRZNsn7E/wjNcADDRf5z3VTTBK1PRrnicxw1KjLhiXVG82Yjh6fEAgP0V8vTTgcW6kXrjAzB4UZVJuUkAfEvKy1W0+41U7xK5XwqdTicda7kuqmKmoTAzISRLtiuVeJz3yXScvV4B35wVg5ckWT5DDUZmJcBs1MPW7sZJmYp2xQyXGJBGKrn7jkOVNni8AtLizchKjJblM9SAwYuKJMVGSbvxyvXF4F2qj+zBi3/MOlJrA0TicT5UaZNliK6soRXN7W7fKtWZ8UF/f7UwGfTSd7q4vEmWzzgQwdPRA00akgRAvr5DmtE1KDFii3UBBi+qM9GfJpTji9Fgd+J0o2/vpLER3gFNlDl42ccgEYBviC7VP0QnRzGpOPtldHYiTIbI7u7kPKed7o5i3Ug/p+UeottXwb4DYPCiOnKm2feUNQIAhqXHwRJjCvr7q8kkfwdUVt+KRntwh+i8XgF7y33HerL/Li1SdRqikyEjIJ7Tk/2fEcmkvsMf0AXToUobnG4vkmNNyE+NDfr7q8morAREm/RodrhxQoZZdB19h7xbaigdgxeVmeQ/YYsrmjrtCxUMu/1fiql5KUF9XzWyxJowVByiC3Jnf7y2BbZ2N2JMhohcWfdccg7RSed0fmR39EDHcS6RYYhutz9InJKXHNFDGQBgDByiC/I53WB3SgHRRQxeSE1GZycgyqBHY6sL5Q3B3T8jsAOigDR7kDMCu/zHeWKuJeKHMgD5hjPsDre0pxHP6c5DdMFeAXZ3WQMA4CIeZwAdQ0fFFY1BfV+xjx6REQ9LbGRnx9lzqozZaJC2CghmZ+/yeKWhKHZAPnJlBBgkdiYGL+UNrahvcQTtffdVNMHjFZBjiUa2JTKXUA8k1yw6QRA6zukIzwaI5CraZd/RgcGLCokdxH9PNgTtPQ+etcHh9iIpYLgk0okdxJ6yxqBuaCfWYXB4zscSY8KIDN9MoJ2ngnenKnX0+TzOIvHGZGcQ+44zTW2otjlg1Osifpq0SOw7Dp21oTmIu9OLfQdvMBm8qNK0ob7OOJjBi9jRXzQkOWIXmDrX6OxEJJiNaHa4g7ZYXeCYdaQX6waS5ZwuF7MBSUF7T7W7VDzOpxqCVjMn9h1jcxIjes2iQNmWGAxJiYVX6BgmHiin2ysVWzPzwuBFlS7230mW1rQELc2+h+nILgx6nVTouf1EfVDeU+zoh2fER+z2C925pCAVALDjZHCOs9crBJzTzLyIxg9KQrRJjwa7E8dqWoLynrt5nLt1SUFwA/KDZ61w+Gd0MTvO4EWVUuKiMNK/O+7OUwP/YgiCgF1iwR3HrDuZNtR3UQ1WB7TL//8XawM6u9Tf0R+qtMEWhDT70ZrmgBldkbeT9PlEGfXSd3x7kM5pcajvorykoLyfVkzzn9M7gnTjs+tUR3Y80md0AQxeVEtMs28/MfAO6HitHdU2B8xGPYcyziF2QP891RCUBae2Hvd1ZEXDUgf8XlqSkRiNgrQ4CEJHgDcQW4/5jvPFBSkwckZXJ9PELFcQLqoNdqc0pCq+L/lc6r/x2X/ailane8Dvt/V4HQD2HSJ+q1UqmCnJr4/5vhQX56cg2sQx60DjBlkQG2VAU6sLpQNMszfandI+O9PZAXVxiX84dEcQz+nLh/M4nyuw7xho3Yt4QR2VlYD0BPOA26Ylg5NjkG2JhtsrYO8Al1twur3S9+Ky4WlBaJ36MXhRKbEDKqmywdo6sDT7Fn9HP50dfRcmg16qAxpoPca2E/UQBKAwMx4ZEbyh2vmI2cQdA8wmujxeqUZp+jB29OeaPCQJUQY9apodOFU/sLWixCCRF9SudDpd0IaOiiua0Or0IDWgZCDSMXhRqYyEaAxL96XZxbuf/nB7vNjuH8q4nB1Qt8T071el/T/OQEeQyI6+e2J90YEz1gEF5PsqmmB3epAca8IYrmDcRbTJIK1DsqW0dkDvtUXKcPGc7o7UdxwLTt8xfXgaZ4P6MXhRsZkjMwAAXx6p6fd77D9jRbPDDUuMCWNzInujr/O5sjAdgO8u0+Hu/7LqW8XghdmAbg1KikFhZjw8XgGbB3BR/dpf78KO/vxmjvSd018e6f9xLq9vRUVDG4x6nZQJps6u9B/n4oomNAxgjzQOg3bF4EXFrpKCl9p+F5N+7c8mTB+WCgM7+m6NzUlERoIZrU5Pv2uMKhpacaq+FQa9Thoeoa6uCkJA/jWzARckHuetx+v6vc+RmA24aEgy4szGoLVNS7ItMRiVlQBBADYf7V+g2NzuklbqZda2A4MXFbu4IBlxUQbUNjuk7ej7aqP/CzWdX4rz0ul0HRfVw/3rgDb5j/PEwRYkREf2niQ9EbOJm/oZkFtbXdjjX5yOGa7zG5WVgGxLNNpdXmzrZz3GRn+AyVq5nn1rlO+c/uJw/wLyr4/VweMVkJcai8HJkb1jdyAGLypmNhqkSLw/X4xqW7u0wNTVozOD2jatuWqUmGbvXwe07psqAMDVY7KC1iYtmpqfjASzEfV2J/afsfb59f8pqYbbK2BkZgKGpLKjPx+dTicFihv70XfYHW4pIL96DPuOnlzlD142Ha3t1zYjn4p9B/voThi8qJz4xejPRXX9Qd+XYvKQJGRZOPulJ5cNT4PJoMPJOjtO+pf3762mVqd0dztnHIOXnpgMeswo9AXkX/bjorrOf05fy+N8QVcF1L30dcr0pqO1cLi9GJISy6LoC5icmwRLjAnWNlefd5l2uD34osT3PZgznud0IAYvKicOZxRXNKHS2tan14oRPS+oF5YQbZK2ZfjMf4HsrQ2HquHxChiVlYB8Lut9QWJGoK/H2e5wS3UFDF4u7LLhaYgy6lHe0IqSyuY+vVbsO64dl8XVXi/AaNDjCn/Rv5iB7a2tx+rR7HAjI8GMyblclTsQgxeVy7JE45L8FAgC8FHx2V6/rsHulBY9mjMuW67macq8iTkAgA/2nO7Tneo6KUjkce6Na8ZkIcqox+GqZhw62/tari+P1MDh9iI/NRajsrgWxoXEmY349mhfoLhm7+lev67d5cEXJdUAGCT21rwJvu/+h8Vn4fZ4e/26T7+pBABcMzaLM+fOweBFA7530SAAwOrdvb+objhUBY9XwNicROSmsDagN+aOz0aUUY+j1S042MuLanO7S1ofhmnf3rHEmqSL6gd7en9R7cgGZDMb0EvfnTwYQN8uqltK62B3epCVGI1Jg5NkbJ12zByZgeRYE2qbHfj6eO8KpF0eLzYc8gWJzI53xeBFA+b4L6qlNb2/qP5zt++iMHc8swG9ZYkxSUVzH+w506vX/GtfJZweL4ZnxGNERryczdOU7/XxotrU6pQ6+ut4TvfalYXpSImLQm2zQ5r6fCGr/QHlnPHMBvRWlFHfKXPbG18erkFjqwtp8VFcR6cbDF40wBJjkir+V/fii3GspgU7TzXCoNfh/00ZLHfzNEXMcn287wxcvbiovr+zHABwy9RcZgP64MqRvotqXYujV6uTfrj3DJxuL0ZnJ2LcIBaQ9laUUY/vSBfVCwfkdS0OKUi85eJcWdumNd+7yNfXfnawCs292Dn9/Z0VAICbLhrMzUW7wSOiETf5L6of7DkDu6PnHUzf3HoKgG+2QSb32OmTKwrTkRYfhboW5wULSneXNWLfaStMBp0U9FDvmAwdF9V3t5f1+FyPV8Bb23zPufViBol9JZ6b6w5Woaa5vcfnvru9HG6vgIm5SRiVxSCxLyYOtmBoehzaXd4LBoqn6uz4wj+D9P9jkNgtBi8acWVhBvJTY2Ftc+E9f8TenQa7E/+32/f3/7msIFTN0wyTQY/bp+UBAF7ddKLHGqOVm48DAG6cNAip8dxxt6/unJ4PnQ74T0kNjlaffzbMhkPVOFFnR2K0ETcxk9hnEwYn4aIhSXC6vVj19anzPq/N6cGb23x/v/ty9h19pdPp8AN/n/vXr070OBz6169OQBB8N5jD0jnc3B0GLxph0Ouw8IqhAICXNx5Hy3myLy9+cQztLi/GD7KgaBhXxuyPBUV5iDbpceCMFZ8drO72OfsqmqS//dD//wv1TUFaHK7xL+r33Poj3T7H4xXwxw1HAQB3XJqHeC5T3y/3XjkMALBq66nzZl9e//okGuxODE6OwVwWkPbLzVMGIzUuCqcb2/D+ru5vMsvq7fiH/28/vGJYKJunKrIGL7/5zW8wffp0xMbGIikpqVevEQQBjz/+OHJychATE4OZM2fi4MGDcjZTM26ekov81FjUtTjw589Lu/z9aHUz3t5+CgDws2tGMr3eT6nxZtxzuS8gWf5pCVqdnQNFj1fAE//ynbPfmzwII7iFfb8tmV0IvQ747GA1tnSzq/e7O8pwpLoZlhgTg8QBmD0mExNzk9Dq9OB3nx7u8vezTW14eaMvk/jT2YWsweinaJMBP/7WcADA8+uPdtmsURAEPPXvErg8AmaMSOMNZg9kPQOdTiduvvlm/OhHP+r1a/7whz/g+eefx4svvoidO3ciKysLV199NZqb+7aIUiSKMurxy+vGAABWfnVCWr4b8E3ZffB/98LlEfDt0RnSoknUP/fNHIasxGiU1bfisQ8Pdho++tN/jmJPeRPiogxYes3IMLZS/QozE3DHpb5hup/+XzGqbR1ZgYNnrfjt2hIAwJKrC5EUGxWWNmqBTqfDr64fDZ3OVzf34d6Omox2lweL3y9Gi8ONSblJuGEi67cG4vZL8zAiIx71dieW/t++TsNHb28vw39KqmEy6KS+nLqnE/q6LnQ/rFq1CosXL0ZTU1OPzxMEATk5OVi8eDEefvhhAIDD4UBmZiZ+//vf4957773gZ9lsNlgsFlitViQmRmZB2cP/3I/3d1Ug2qTHL64dhbzUOPzxP0ex/7QVqXFR+HTxDGQksFB3oLYer8Ptf9sBQQC+MzEHt16Si/UHq7HKXxD93M0TWYMRBK1ON+b9eQuO19qRnxqLX8wZheZ2N367tgSNrS7MGJGGN39wCaftBsEf1h3GSxuPw6DXYcnVhZgw2IK/fHkM2080IC7KgE8enMFVooPg4FkrvvuXrXB6vLhqZDrumTEU20/U48Uvj0EQgEfmjorIIaO+XL8VFbycOHECw4YNw549ezB58mTp8RtuuAFJSUl48803u7zG4XDA4XBIv9tsNuTm5kZ08OJwe/Cjd/Z02azREmPCu/dMw7hBljC1THv+sasCD6/ej3O/RUuuLsSDs0aEp1EaVNHQiltXbseZps5bYEwcbMFbd0+DJYY7dQeDxyvgZ//c12U2TIzJgNfumorp3Kk7aNYfrMIDf98Dl6dz53FnUR4e/87YiBzW70vwoqjqtqoq39TTzMzOu2dmZmairKz76ZLLly/HE088IXvb1MRsNGDl/Cl4Z3sZ/rnnNGxtblxSkIIlVxciJykm3M3TlP9vai6GZ8Tjz5+X4khVM/JS4/DDK4ZKG2ZScOSmxOLfP74cf/q8FJuP1iLKqMeccdm498qhiDYZwt08zTDodXj2/01E0dBU/P2/5ahtdmDykGQ89O0RGMpZL0E1e2wW/vXjy7FiQykOnLEiJykaC4rycf0ErhDdG33OvDz++OMXDBZ27tyJqVOnSr/3NvOydetWXHbZZTh79iyysztWyVy4cCEqKiqwbt26Lq9h5oWIiEj9ZM28LFq0CLfeemuPz8nPz+/r2wIAsrJ80++qqqo6BS81NTVdsjEis9kMs5lraBAREUWKPgcvaWlpSEuTZ9yzoKAAWVlZ2LBhg1Tz4nQ6sWnTJvz+97+X5TOJiIhIXWSdKl1eXo7i4mKUl5fD4/GguLgYxcXFaGlpkZ4zatQorFmzBoBvut7ixYvx29/+FmvWrME333yDu+66C7GxsbjtttvkbCoRERGphKwFu7/61a86zRASsylffvklZs6cCQA4cuQIrFar9Jyf//znaGtrw/3334/GxkZMmzYN69evR0ICF/oiIiKiEE2VDiWu80JERKQ+fbl+c41nIiIiUhUGL0RERKQqDF6IiIhIVRi8EBERkaoweCEiIiJVYfBCREREqsLghYiIiFSFwQsRERGpCoMXIiIiUhUGL0RERKQqDF6IiIhIVRi8EBERkaoweCEiIiJVYfBCREREqsLghYiIiFSFwQsRERGpCoMXIiIiUhUGL0RERKQqDF6IiIhIVRi8EBERkaoweCEiIiJVYfBCREREqsLghYiIiFSFwQsRERGpCoMXIiIiUhUGL0RERKQqDF6IiIhIVRi8EBERkaoweCEiIiJVYfBCREREqsLghYiIiFSFwQsRERGpCoMXIiIiUhUGL0RERKQqDF6IiIhIVWQNXn7zm99g+vTpiI2NRVJSUq9ec9ddd0Gn03X6ufTSS+VsJhEREamIrMGL0+nEzTffjB/96Ed9et21116LyspK6Wft2rUytZCIiIjUxijnmz/xxBMAgFWrVvXpdWazGVlZWTK0iIiIiNROkTUvGzduREZGBgoLC7Fw4ULU1NSc97kOhwM2m63TDxEREWmX4oKXOXPm4N1338UXX3yB5557Djt37sS3vvUtOByObp+/fPlyWCwW6Sc3NzfELSYiIqJQ6nPw8vjjj3cpqD33Z9euXf1u0C233ILrrrsO48aNw7x58/Dpp5/i6NGj+OSTT7p9/rJly2C1WqWfioqKfn82ERERKV+fa14WLVqEW2+9tcfn5Ofn97c9XWRnZyMvLw+lpaXd/t1sNsNsNgft84iIiEjZ+hy8pKWlIS0tTY62dKu+vh4VFRXIzs4O2WcSERGRcsla81JeXo7i4mKUl5fD4/GguLgYxcXFaGlpkZ4zatQorFmzBgDQ0tKCpUuXYtu2bTh16hQ2btyIefPmIS0tDd/97nflbCoRERGphKxTpX/1q1/hzTfflH6fPHkyAODLL7/EzJkzAQBHjhyB1WoFABgMBhw4cABvvfUWmpqakJ2djauuugrvv/8+EhIS5GwqERERqYROEAQh3I0IJpvNBovFAqvVisTExHA3h4iIiHqhL9dvxU2VJiIiIuoJgxciIiJSFQYvREREpCoMXoiIiEhVGLwQERGRqjB4ISIiIlVh8EJERESqwuCFiIiIVIXBCxEREakKgxciIiJSFQYvREREpCoMXoiIiEhVGLwQERGRqjB4ISIiIlVh8EJERESqwuCFiIiIVIXBCxEREakKgxciIiJSFQYvREREpCoMXoiIiEhVGLwQERGRqjB4ISIiIlVh8EJERESqwuCFiIiIVIXBCxEREakKgxciIiJSFQYvREREpCoMXoiIiEhVGLwQERGRqjB4ISIiIlVh8EJERESqwuCFiIiIVIXBCxEREakKgxciIiJSFQYvREREpCoMXoiIiEhVZAteTp06hbvvvhsFBQWIiYnBsGHD8Otf/xpOp7PH1wmCgMcffxw5OTmIiYnBzJkzcfDgQbmaSURERCojW/By+PBheL1evPrqqzh48CD++Mc/4pVXXsEjjzzS4+v+8Ic/4Pnnn8eLL76InTt3IisrC1dffTWam5vlaioRERGpiE4QBCFUH/bMM8/g5ZdfxokTJ7r9uyAIyMnJweLFi/Hwww8DABwOBzIzM/H73/8e9957b5fXOBwOOBwO6Xer1YohQ4agoqICiYmJ8vxDiIiIKKhsNhtyc3PR1NQEi8XS43ONIWoTAF9gkZKSct6/nzx5ElVVVZg9e7b0mNlsxpVXXomtW7d2G7wsX74cTzzxRJfHc3Nzg9NoIiIiCpnm5mblBC/Hjx/Hn//8Zzz33HPnfU5VVRUAIDMzs9PjmZmZKCsr6/Y1y5Ytw5IlS6TfvV4vGhoakJqaCp1OF4SWdxCjQmZ15MXjHDo81qHB4xwaPM6hI8exFgQBzc3NyMnJueBz+xy8PP74491mOgLt3LkTU6dOlX4/e/Ysrr32Wtx888245557LvgZ5wYdgiCcNxAxm80wm82dHktKSrrgZwxEYmIivxghwOMcOjzWocHjHBo8zqET7GN9oYyLqM/By6JFi3Drrbf2+Jz8/Hzpv8+ePYurrroKRUVFWLlyZY+vy8rKAuDLwGRnZ0uP19TUdMnGEBERUWTqc/CSlpaGtLS0Xj33zJkzuOqqqzBlyhS88cYb0Ot7ntxUUFCArKwsbNiwAZMnTwYAOJ1ObNq0Cb///e/72lQiIiLSINmmSp89exYzZ85Ebm4unn32WdTW1qKqqkqqaxGNGjUKa9asAeAbLlq8eDF++9vfYs2aNfjmm29w1113ITY2FrfddptcTe01s9mMX//6112GqSi4eJxDh8c6NHicQ4PHOXTCfaxlmyq9atUq/OAHP+j2b4EfqdPp8MYbb+Cuu+6S/vbEE0/g1VdfRWNjI6ZNm4a//OUvGDdunBzNJCIiIpUJ6TovRERERAPFvY2IiIhIVRi8EBERkaoweCEiIiJVYfBCREREqsLgpZdeeuklFBQUIDo6GlOmTMFXX30V7iZp0ubNmzFv3jzk5ORAp9Phww8/DHeTNGf58uW4+OKLkZCQgIyMDNx44404cuRIuJulSS+//DImTJggrUJaVFSETz/9NNzN0rzly5dLS29Q8Dz++OPQ6XSdfsTFZUONwUsvvP/++1i8eDEeffRR7N27FzNmzMCcOXNQXl4e7qZpjt1ux8SJE/Hiiy+GuymatWnTJjzwwAPYvn07NmzYALfbjdmzZ8Nut4e7aZozePBg/O53v8OuXbuwa9cufOtb38INN9yAgwcPhrtpmrVz506sXLkSEyZMCHdTNGns2LGorKyUfg4cOBCWdnCqdC9MmzYNF110EV5++WXpsdGjR+PGG2/E8uXLw9gybdPpdFizZg1uvPHGcDdF02pra5GRkYFNmzbhiiuuCHdzNC8lJQXPPPMM7r777nA3RXNaWlpw0UUX4aWXXsLTTz+NSZMmYcWKFeFulmY8/vjj+PDDD1FcXBzupjDzciFOpxO7d+/G7NmzOz0+e/ZsbN26NUytIgoeq9UKwHdRJfl4PB689957sNvtKCoqCndzNOmBBx7Addddh29/+9vhbopmlZaWIicnBwUFBbj11ltx4sSJsLSjz3sbRZq6ujp4PJ4uG0NmZmZ22eqASG0EQcCSJUtw+eWXcxVrmRw4cABFRUVob29HfHw81qxZgzFjxoS7WZrz3nvvYc+ePdi5c2e4m6JZ06ZNw1tvvYXCwkJUV1fj6aefxvTp03Hw4EGkpqaGtC0MXnpJp9N1+l0QhC6PEanNokWLsH//fmzZsiXcTdGskSNHori4GE1NTVi9ejXuvPNObNq0iQFMEFVUVOAnP/kJ1q9fj+jo6HA3R7PmzJkj/ff48eNRVFSEYcOG4c0338SSJUtC2hYGLxeQlpYGg8HQJctSU1PTJRtDpCY//vGP8fHHH2Pz5s0YPHhwuJujWVFRURg+fDgAYOrUqdi5cyf+9Kc/4dVXXw1zy7Rj9+7dqKmpwZQpU6THPB4PNm/ejBdffBEOhwMGgyGMLdSmuLg4jB8/HqWlpSH/bNa8XEBUVBSmTJmCDRs2dHp8w4YNmD59ephaRdR/giBg0aJF+OCDD/DFF1+goKAg3E2KKIIgwOFwhLsZmjJr1iwcOHAAxcXF0s/UqVNx++23o7i4mIGLTBwOB0pKSpCdnR3yz2bmpReWLFmC+fPnY+rUqSgqKsLKlStRXl6O++67L9xN05yWlhYcO3ZM+v3kyZMoLi5GSkoKhgwZEsaWaccDDzyAv//97/joo4+QkJAgZRUtFgtiYmLC3DpteeSRRzBnzhzk5uaiubkZ7733HjZu3Ih169aFu2makpCQ0KVmKy4uDqmpqazlCqKlS5di3rx5GDJkCGpqavD000/DZrPhzjvvDHlbGLz0wi233IL6+no8+eSTqKysxLhx47B27Vrk5eWFu2mas2vXLlx11VXS7+I46p133olVq1aFqVXaIk75nzlzZqfH33jjDdx1112hb5CGVVdXY/78+aisrITFYsGECROwbt06XH311eFuGlGfnT59Gt///vdRV1eH9PR0XHrppdi+fXtYroVc54WIiIhUhTUvREREpCoMXoiIiEhVGLwQERGRqjB4ISIiIlVh8EJERESqwuCFiIiIVIXBCxEREakKgxciIiJSFQYvREREpCoMXoiIiEhVGLwQERGRqvz/j/7pVIxkOkYAAAAASUVORK5CYII=",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"t = np.arange(0,5,.01)\n",
|
|
"s = np.cos(2*np.pi*t)\n",
|
|
"plt.plot(t,s)\n",
|
|
"plt.annotate('local max',xy=(2,1),xytext=(3,1.5),arrowprops=dict(facecolor=\"black\"))\n",
|
|
"plt.ylim(-2,2)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"<h2>17.6 Nonlinear Axes</h2>\n",
|
|
"\n",
|
|
"If your data spans many orders of magnitude, it can be helpful to create nonlinear axes using <b>xscale()</b> or <b>yscale()</b>."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 81,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 2 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"# Let's do something called fixing the random state.\n",
|
|
"# Typically when you generate random numbers, every time you\n",
|
|
"# run the code you'll get a different result.\n",
|
|
"# Setting a particular random seed will ensure that we can reproduce\n",
|
|
"# the same results every time for demonstration purposes.\n",
|
|
"\n",
|
|
"np.random.seed(19680801)\n",
|
|
"\n",
|
|
"# Let's just make up some data in the interval (0,1)\n",
|
|
"y = np.random.normal(loc=.0,scale=.4,size=1000)\n",
|
|
"y =y[(y>0) & (y<1)]\n",
|
|
"x = np.arange(len(y))\n",
|
|
"\n",
|
|
"plt.subplot(2,1,1)\n",
|
|
"plt.title('linear')\n",
|
|
"plt.plot(x,y)\n",
|
|
"plt.yscale('linear')\n",
|
|
"plt.grid(True)\n",
|
|
"plt.subplot(2,1,2)\n",
|
|
"plt.title(\"logarithmic\")\n",
|
|
"plt.plot(x,y)\n",
|
|
"plt.yscale('log')\n",
|
|
"plt.grid(True)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": []
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"<h2>17.7 Take-Home Points</h2>\n",
|
|
"<ul>\n",
|
|
" <li>The scatter() function can make use of keyword strings to set the shape and color of points on the plot.</li>\n",
|
|
" <li>We can also use categorical variables to plot groups of information.</li>\n",
|
|
" <li>There are many line properties that can be edited!</li>\n",
|
|
" <li>Subplots can be added using the subplot() function.</li>\n",
|
|
" <li>Text can be added or annotated on plots.</li>\n",
|
|
" <li>Nonlinear axes can be added using xscale() or yscale().</li>\n",
|
|
"</ul>"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": null,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": []
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": "Python 3 (ipykernel)",
|
|
"language": "python",
|
|
"name": "python3"
|
|
},
|
|
"language_info": {
|
|
"codemirror_mode": {
|
|
"name": "ipython",
|
|
"version": 3
|
|
},
|
|
"file_extension": ".py",
|
|
"mimetype": "text/x-python",
|
|
"name": "python",
|
|
"nbconvert_exporter": "python",
|
|
"pygments_lexer": "ipython3",
|
|
"version": "3.11.6"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 4
|
|
}
|