{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "from IPython.display import Image\n", "import pandas as pd\n", "\n", "import cartopy\n", "import cartopy.crs as ccrs\n", "from cartopy import config\n", "from cartopy.mpl.ticker import LongitudeFormatter, LatitudeFormatter\n", "from cartopy.mpl.gridliner import LONGITUDE_FORMATTER, LATITUDE_FORMATTER\n", "from cartopy import feature as cfeature\n", "from cartopy.feature import NaturalEarthFeature, LAND, COASTLINE, OCEAN, LAKES, BORDERS\n", "import matplotlib.ticker as mticker" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Lecture 23:\n", "\n", "- Learn how to plot great and small circles on an equal area net and map projections. \n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plotting a great circle\n", "\n", "In Lecture 21, we learned how to plot directions on equal area and equal angle plots. Then in Lecture 22, we learned how to calculate the angle between two vectors (using the dot product) and the pole to a plane containing two vectors (using the cross product). Now, we want to plot the trace of the plane on our equal area net (and it better pass through the two points!). \n", "\n", "Take a look at the module **nets** (you can open it by looking under File and choosing Open). You will notice the two functions **EqualArea( )** and **EqualAngle( )** from Lecture 21.\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Help on module nets:\n", "\n", "NAME\n", " nets\n", "\n", "FUNCTIONS\n", " EqualAngle(Pl)\n", " returns mapped plunge into equal angle projection\n", " \n", " EqualArea(Pl)\n", " returns mapped plunge into equal area projection\n", " \n", " cart2dir(X)\n", " \n", " dir2cart(Dir)\n", "\n", "FILE\n", " /Users/ltauxe/Documents/writing_stuff/Notebook_GIT/Python_for_Earth_Science_Students/nets.py\n", "\n", "\n" ] } ], "source": [ "import nets as nets \n", "help(nets)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Let's re-create our equal area diagram, plot two directions, and plot the pole to the plane containing both directions." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "# from Lecture 21\n", "Azs=np.array([40.9,134.1,270.]) # make an array of azimuths\n", "Pls=np.array([20.7,22.5,60.]) # same for plunges\n", "Azs=np.radians(Azs) # convert the azimuths to plunges\n", "\n", "\n", "fig = plt.subplot(111, polar=True) # Specify polar axes\n", "fig.set_theta_direction(-1) # Reverse direction of degrees (CW)\n", "fig.set_theta_zero_location(\"N\") # Specify 0-degrees as North\n", "plt.polar([0],[90]) ## to scale grid\n", "\n", "\n", "# nets.EqualArea() converts the plunges to plot coordinates\n", "plt.polar(Azs[0],nets.EqualArea(Pls)[0],'ro') # put on the azimuths and plunges\n", "plt.polar(Azs[1],nets.EqualArea(Pls)[1],'bs') # second one as a blue square\n", "\n", "# now let's put on the pole to the plane (from Lecture 22)\n", "plt.polar(Azs[2],nets.EqualArea(Pls)[2],'g^') # third one as a green triangle\n", "# put on the azimuth lines\n", "lines,labels=plt.thetagrids(range(0,360,20),[str(x) for x in range(0,360,20)])\n", "# make the plunge circles and labels\n", "list1=[nets.EqualArea(x) for x in range(10,90,20)] ##don't include center or edge\n", "list2=[str(x) for x in range(10,90,20)]\n", "rlines,rlables=plt.rgrids(list1,list2);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we want to plot the trace of the plane onto the net. We may want to calculate this repeatedly, so let's write a function. Basically we want to calculate a bunch of points in the plane that trace out the plane in net coordinates. \n", "\n", "This function **pts_on_a_plane( )** will do the trick. The function also calculates small circles. " ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# set up rotation matrix\n", "def pts_on_a_plane(pole,gamma=90):\n", " \"\"\"\n", " Calculates directions gamma angle away from a pole.\n", " \n", " Parameters: \n", " pole: array of azimuth and plunge of the pole\n", " gamma: desired angle away from the pole, defaults to 90 for great circle\n", " \n", " Returns: \n", " PTS: the points on the plane\n", " \"\"\"\n", " \n", " gamma=np.radians(gamma) # convert gamma to radians\n", " t=np.zeros((3,3)) # set up a rotation matrix, initialized with zeros.\n", " t[2]=nets.dir2cart(pole) # assigns the cartesian coordinates of pole to t[2]\n", " plane1=[pole[0],pole[1]-90.] # one vector orthogonal to the pole, in the plane\n", " plane2=[pole[0]+90.,0] # a vector orthogonal to both the pole and plane1\n", " t[0]=nets.dir2cart(plane1) # assigns this vector's cartesian coordinates to t[0]\n", " t[1]=nets.dir2cart(plane2)# assigns this vector's cartesian coordinates to t[1]\n", " t=t.transpose() # takes the transpose\n", "# set up v\n", " npts=201 # number of points we want in the plane\n", " xnum=float(npts-1.)/2.\n", " v=[0,0,0]\n", " PTS=[] # make a list to keep the data points\n", " for i in range(npts): # incremental point along plane\n", " psi=float(i)*np.pi/xnum\n", " v[0]=np.sin(gamma)*np.cos(psi)\n", " v[1]=np.sin(gamma)*np.sin(psi)\n", " if gamma==np.pi/2.:\n", " v[2]=0.\n", " else:\n", " v[2]=np.sqrt(1.-v[0]**2 - v[1]**2)\n", " elli=[0,0,0]\n", "# calculate points on the ellipse\n", " for j in range(3):\n", " for k in range(3):\n", " elli[j]=elli[j] + t[j][k]*v[k] # cartesian coordinate j of ellipse\n", " PTS.append(nets.cart2dir(elli))\n", " return PTS\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now down to the task at hand. We want to plot the points on our equal area projection " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "pole=[270.,60.] # direction of the pole (green triangle) from Lecture 22\n", "PTS=pts_on_a_plane(pole) # get the points in the plane orthogonal to the pole\n", "# same as it ever was\n", "fig = plt.subplot(111, polar=True) # Specify polar axes\n", "fig.set_theta_direction(-1) # Reverse direction of degrees (CW)\n", "fig.set_theta_zero_location(\"N\") # Specify 0-degrees as North\n", "plt.polar([0],[90]) ## to scale grid\n", "\n", "# now for the points on the plane\n", "for pt in PTS: # step through the points\n", " if pt[1]<0: # make yellow dots in the upper hemisphere\n", " plt.polar(np.radians(pt[0]),nets.EqualArea(-pt[1]),'g.',markersize=3)\n", " else: # make black dots in the lower hemisphere. \n", " plt.polar(np.radians(pt[0]),nets.EqualArea(pt[1]),'k.',markersize=3)\n", " \n", "# put back on the old stuff\n", "plt.polar(Azs[0],nets.EqualArea(Pls)[0],'ro')\n", "plt.polar(Azs[1],nets.EqualArea(Pls)[1],'bs')\n", "plt.polar(Azs[2],nets.EqualArea(Pls)[2],'g^')\n", "lines,labels=plt.thetagrids(range(0,360,20),[str(x) for x in range(0,360,20)])\n", "list1=[nets.EqualArea(x) for x in range(10,90,20)] ##don't include center or edge\n", "list2=[str(x) for x in range(10,90,20)]\n", "rlines,rlables=plt.rgrids(list1,list2)\n", "plt.thetagrids(range(0,360,20),[str(x) for x in range(0,360,20)]);\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "Whew! The great circle representing the trace of the plane containing the glacial striations went right through the points representing the striation directions (as it should!). \n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we can draw great (and small) circles on projections, it is interesting to compare distortions in various 2D projections of 3D information. Let's start by comparing the equal area versus equal angle projections. We can draw a direction with a circle of confidence around it (by settin gamma) on both projections to see how each behaves. Starting with the equal area projection, let's draw a few directions with 15$^{\\circ}$ circles of 95% confidence (our gammas). " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "poles=[[270.,60.],[45,45],[135,89],[140,10]] #poles\n", "gamma=15. # circle of confidence\n", "# old stuff\n", "fig = plt.subplot(111, polar=True) # Specify polar axes\n", "fig.set_theta_direction(-1) # Reverse direction of degrees (CW)\n", "fig.set_theta_zero_location(\"N\") # Specify 0-degrees as North\n", "plt.polar([0],[90]) ## to scale grid\n", "for pole in poles: # step through the list of poles\n", " PTS=pts_on_a_plane(pole,gamma=gamma) # get the points gamma away from this pole\n", " for pt in PTS:\n", " if pt[1]<0: # upper hemisphere\n", " plt.polar(np.radians(pt[0]),nets.EqualArea(-pt[1]),'c.',markersize=3)\n", " else: # lower hemisphere\n", " plt.polar(np.radians(pt[0]),nets.EqualArea(pt[1]),'k.',markersize=3)\n", "lines,labels=plt.thetagrids(range(0,360,20),[str(x) for x in range(0,360,20)])\n", "list1=[nets.EqualArea(x) for x in range(10,90,20)] ##don't include center or edge\n", "list2=[str(x) for x in range(10,90,20)]\n", "rlines,rlables=plt.rgrids(list1,list2)\n", "plt.thetagrids(range(0,360,20),[str(x) for x in range(0,360,20)])\n", "plt.xlabel('Equal Area Net');\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And the same for the equal angle plot:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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Gw59++qnYVYj7WmI3xIrFYuj1egwODmJgYABGoxEymWzNhYc7MMYgFoshFouRmprqEC7Dw8OoqqoCYwz2Oj7BwcHo7++HUqlctt2bb74Z77zzDk6cOIF33nkHX/3qV332HuLi4lBVVSW56667fqJUKnP7+/vvo3+4yn+uCdhMADDGQqRS6Z9uuummQ9/4xjdCDx8+DC53zWc3Tuj1ehQUFCAsLAwWi8Xx0Hka9LZS/JFpTafTOYp5WSwWzMzM4ODBgwgLC3Occ/fdd6OgoAAjIyOQyWR44YUXcMstt+DrX/86enp6kJCQgA8//BASicRn4yQiVFZW4o9//KP+17/+9cXh4eEvUaA4ekCYMMbiY2Jizr700kuJ3/rWt4QdHR0YHx/Hnj17/FZGYinGx8fR1dWF8fFxcLlcJCYmrklKR3+nbRweHkZjYyM4HA5CQ0ORlJSEqKiodfGdXL58GRaLBTt27MCf//xn07e+9S2VWq2+noia1npsa8nnWpgwxnYoFIozH374ofzgwYOOu7S+vh4hISFIS0tbk3GZTCb09/eju7sbwcHBSEpKQnR0NMbHx9He3o59+/b5fUz+FiaNjY0OW8rY2Bi6urqg1WoRHx+P+Ph4r8boeEJvby8GBgaQnZ3tEGxNTU244YYbhvv7+28zmUxFyzSxYfnc2kwYYxlxcXF/O3v2rHS+oXXXrl0oLy9HWFgY/Fmnxmg0orOzE/39/YiNjUV2djaCgoIcx+e61/P5fL+Ny98QEYaHh7F9+3YwxiCRSCCRSGAwGNDb24uSkhLIZDKkpKT4NYu/RqNBZ2cncnNznTSk7du3o6ysLObw4cMfCQSCuwwGw1m/DWodsX6tdT6EMZYdHx//9/Pnzy8QJIB1GTQrKwstLS1O/gu+wmAwoLm5GcXFxeDxeDhy5Ai2bNniJEhs40ZsbCwGBjZm0Kmd4eFhSCSSBcZkgUCAlJQUHD16FGFhYSgrK0NjY6PDt8WXzMzMoL6+HllZWS79ZWJjY1FWVhaVnJz8fkhIyJd9PqB1yOdOmPB4vIOJiYl/KSoqiklJSVn0PD6fj3379qG2ttZnN6vRaMTly5dRUlKCoKAgHDlyBJs2bVrS+KtUKjd80qS57vOu4HA4SEhIwNGjRyEWi1FRUYGGhgaHM563MRqNqKqqQkZGxpJeyFKpFKWlpVHJycn/Ex4efrtPBrOO+VwJEx6PdyAhIeH/lpSURCcmJi57flhYGHbt2oWqqiqYzWavjYOI0N3djeLiYgQHB+Po0aNISkpyawXJ7ug1MzPjtfGsJ0wmEyYnJ11mn58PYwxKpRJHjhxBVFQUSktL0d7e7tWEUkSEmpoapKamujWmqKgolJSUSJKSkn4ZFha2IdMzLsbnRpgwxjLj4uI+OX/+fLQnMTZ2B7Da2lp4w1g9OjqK4uJiTE5O4tChQ0hKSvLYN2QjaycDAwNQKBQerdowxhAXF4cjR47AZDKhsLAQQ0NDXhnPpUuXIBaLPcrwJhaLUVhYKElISHg7KCjoeq8M5CrgcyFMGGPpSqXyrwUFBdFLqc+LkZiYiKCgoFUFj83OzqK6uhqtra3Ys2cPdu7cuWIjqt1ushFX4vr6+txyVHMFl8vFli1bsH//fvT19aG8vBzT0yuPy+vu7sbs7KxTXJC7REZG2gXKbwUCgU+SV683NrwwYYxtjYuL+3teXl5McnLyitvZsWMHJiYmPNYIiAh9fX0oKyuDUqlETk6OkxPWSpjrXr+RcNd9fjmCg4ORmZmJzZs3o6qqCh0dHR4L3uHhYfT09KzK3yg6OhqFhYVRSqXyQx6Pl7uiRq4iNrQwYYxFSaXSM5999plstT4jjDHs3bsX7e3t0Gjcc3bU6/Worq6GWq3GoUOHIJfLVzWGucTHx2+4PCer0UpcIZFIcPjwYczMzKCsrMxtO9PU1BQaGxuRlZW1ak9ouVyOwsLCKLlc/hFjLGlVja1zNqwwYYzxY2Ji/varX/1KsXPnzuUvcAM+n4+srCzU19cvW75zYGAApaWliI+Px969e73uFxITE4ORkZENlb1+YGAA3k48xeVysXPnTmzZsgWVlZXo7u5eUksxGAyorq7G3r17FyzNrxSlUok//elP0piYmDOMsdWppeuYDStMpFLpr/75n/9521e+8hWvBtmEhIRg9+7dqKqqgsm0ML7LbDajrq4OAwMDOHjwoFe1kblwOBxER0dvmOz1ExMTCAkJ8Zlna1RUFA4dOoSJiQlUVVW5zKtrsVhQXV2NLVu2ICIiwqv9Z2dn49///d8TpFLpx4yxDfncbcg3FRkZ+YPc3Nybn3vuueUTZqwAiUSC5ORk1NTUOP3KzczMoLS0FCKRCJmZmT53+d5IU53e3l6vTnFcwePxkJ6ejri4OJSUlECr1TqOEREuXryImJgYn3k9f/Ob3xTcddddWTExMSd90sEas+GECY/HO6JUKn/87rvvin0ZFBYfHw+RSISmJmtsl1qtRkVFBXbs2IFNmzb5JSAtIiJiQ2Svt1gsGB4e9mn2+bnExcVh7969uHDhAvr7+wEAnZ2dMJvNSE1N9Wnfr732Wvj27dsfEolEd/m0ozVgQwX6McYS4+LiKioqKmT+yNdKRKiqqgJg9ZLMzMz02jzbXa5cuQKhUAh3nPBWgy8D/dRqNQYHB5Genu6T9hfDaDQ6/IeMRiMOHDjgl9QTExMT2Lt372hHR8dxIqrzeYd+YsNoJoyxsJiYmDN//OMf/SJIAKsw4XK50Gg0LmNp/MFGqEnsjymOK/h8PrZs2YKxsTFwOBy/+e1ERETgs88+i5LL5Z96oyzpemFDCBPGGEcqlf7fkydPJuzfv98vfZpMJlRWVkIkEuHIkSO4ePHiqhykVoo9VuRqda83Go1uu897G71ej9raWuTm5kKpVKK8vBwGg8EvfaelpeGdd95R2FZ41iafgpfxqTBhjAUxxioZY/WMsUuMsRds+5MZYxWMsVbG2Af2D5MxJrT932Y7nuROPxKJ5Mlbb701+/777/dLPLper0dZWRliY2ORlpaGkJAQ7NmzB9XV1Wtiv7ia3etVKhUkEgn279+P3bt3Y8eOHXj++ecBWO0Y+/fvR1paGu68806vPuhmsxnV1dXYtm0bRCIREhISkJaWhtLSUr8J5i9+8YucJ554Ik0qlf7HSq5njIkZY39gjDUzxi4zxg4wxiSMsTO2Z+sMY8x/UtqXFb5greMbZnvNB1ABa13f38O59up3ba+/B+D/2F7fBeADN/pITUlJGdbpdOQPpqenKT8/nwYHBxcc6+/vp9LSUjKbzX4Zix2DwUD5+flksVh81oevKvqVlJTQ1NQUTU5OEpH1vWRnZ1NZWRndcccd9N577xER0be//W36xS9+4ZU+LRYL1dTUUFtb24JjGo2G8vLyaGJiwit9LYfZbKbMzMxRADnk+fP1DoBv2V4LAIgBnARwwrbvBIBXPW13pZvfSgcCCAFwAcB+ACMAeLb9BwD8zfb6bwAO2F7zbOexJdrkSKXS+oqKihV+lZ5hFySjo6OLntPc3EwNDQ1+Gc9cqqqqVl0Wcyl8IUxmZmaouLjYad/09DTt2bOHysvLKSoqioxGIxERlZaW0he/+EWv9HvlyhWqq6tbVPhOTk76VaC0tbWRVCrtAhBM7j9PIgCd858PAC0AFLbXCgAt7ra52s3nNhPGGJcxVgdADeAMgHYA4/SPjN59AOwW0zgAvQBgOz4Ba6Fnl0gkkqfuueee5OzsbF8N34FOp0NlZSXS09OXTFa8efNmGAwGdHZ2+nxMc7kaDbF9fX2OaFyz2YyMjAxIpVJcd911SElJgVgsdiQiUiqVjmXc1aBSqTA8PIxdu3YtunwfFhaGrKws1NTUYHJyctV9LkdKSgpOnDghk0qlr3tw2SYAwwD+mzFWyxj7FWMsFICMiFQAYPvrNwOvz4UJEZmJKAOAEkA2gG2uTrP9dfXtujSxM8bSIiMjn3z55Zfdrwy1QvR6PSorK7Fr165ls54zxpCRkYH+/n6o1WpfD83Bat3r7dngNRoNVCoV+vr60N3djY6ODhQUFECv16O7uxt9fX0YGBjA6OgopqenV5znhYgwMDDgECZcLhd1dXXo6+tDZWUlLl++vOCa1fruTExMoKWlBfv27Vs27UNYWBgyMzNRXV3tF8P6v/zLvwQlJCTcwRg74OYlPAB7AfwnEe0BMA3rtGbN8FsOWCIaZ4wVwGozETPGeDbtQwnAnoewD0A8gD7GGA9ABIAFUXWMMa5UKv3ju+++G+3r5ViDwYCKigps374dUVGLKklOcLlcZGVloaysDMHBwR5Vwlspdvd6tVq9pAu/yWRyKhWq1WphMpnAGHOUCrWXCbWXCA0PD4fBYIDFYoHRaITZbMbIyIijHKjFYnGcZy8HGhERsWQ8klarRUhIyIJzxGIxrrnmGpSXl2N8fBwmkwk8Hg99fX2rituZnZ3FhQsXkJWV5bZnskgkwp49e1BVVYXs7Gy3KhCuFA6Hgw8++EBy4MCB9xljW4lo6eAv67PSR0QVtv//AKswGWKMKYhIxRhTwDoj8A++nEMBiAEgtr0OBlAE4CYAH8LZAPs92+tH4WyA/b2rdiUSyf96/PHHtR5NTFeA0WikwsJCl8ZWd5iYmKD8/HzS6/VeHplrxsbGqLKy0mmfyWSioaEhampqoqKiIiooKKC6ujrq6OigkZERMhgMbrW9nM3EYDDQ6OgodXZ2Un19PRUWFtL58+epsbGRVCrVgn4uXrxIKpWKiIjUajWNjY0RkdWOcujQIfrzn/9Mt99+u5MB9o033nBrrPMxmUxUWFhIarV6RdePjo5Sfn4+zc7Oruh6T3j99dd1Uqn0l+Te81UEYIvt9Y8BnLJtcw2wJ91pyxubr4VJOoBaAA0AGgH8yLZ/E4BKAG02wSK07Q+y/d9mO77JRZubU1JSRnz9xVosFqqsrKSurq5VtaNSqai4uNgvKzwWi4Xy8/NpZmaG+vr6qLKykvLz86mhoYEGBgZWJdRWYoA1GAw0ODhIjY2NVFBQQGVlZdTd3U06nY7y8vIcn0l9fT1lZGTQrl27aMeOHfTCCy8QEVF7eztlZWVRSkoK3X777St6mC0WC1VVVVFnZ6fH185lcHDQL9+j2Wymffv2jQLIpeWfrwwA1bbn6/8CiITVxngOQKvtr2S5dry1XVXu9LbpTd2nn366Mysry6d9zS20tFra2towNTWF3bt3+yxmh4gwMjKCxsZGGI1GJCQkIDY2FuHh4V7p0xvu9FNTU1CpVOjp6YHZbEZ6ejpkMplP45iam5thMpngjTQU7e3t0Gq1yMjI8OmYOzo6cODAgR61Wu3OdGfdcFV5wIaFhT1w++23J/pakPT29kKr1WL79u1eac+eBb+jo8Mr7c3FYDCgra0N58+fR39/P7Zt24bQ0FBs3boVIpFoXVTAsxMWFoa0tDSIxWLs2LEDw8PDKCgoQHNzs08qAPT392N8fNwrPwgAsGnTJnA4HLS1tXmlvaX6efLJJ6VRUVH/5tOOvMxVI0wYY0EikeiVZ555xqfWTHuhpczMTK89iIwxpKenY3BwEIODg15pU6/Xo6mpCaWlpeBwODh48CAyMjIgl8vBGFu37vV29/nY2Fjs2rULR44cQUhIiKNcxXJJp9xlbGwMbW1tXv8ed+3aheHhYahUKq+0uRgPP/xwUGho6PcZY+5Z/dcBV40wiYyMfOyb3/xmWFdXFy5duuQTt3W9Xo/6+nrs27fPZaGl1WAv7NXc3OyUR8NTDAYDGhsbUVZWhrCwMEetnbmrIuvZvV6lUjlln+dyuUhISMCRI0cQHR2Nqqoq1NXVrUqo6HQ61NXVISsry+sZ7jgcDvbt24eWlhafLBmbzWZcuXIFdXV1eOKJJ0KlUulLXu/EV/jLOLOaDYAoNjZ2aHp6miwWC3V2dlJeXh51d3d7zYXcYrFQeXm5Y4XBV2i12hWtDJjNZmpvb6e8vDzq6elZ8n37wr3eWx6wJSUlND09vehxi8VCKpWK8vPzqbm5mUwmk0ftG41GOn/+PI2MjKx2qEui0WiosLDQawZZi8VC/f39lJeXR1euXCGTyUQmk4nS0tKGASTQOngOl9uuCs0kJiajHirIAAAgAElEQVTm+eeee04cEhICxhiSkpJw6NAhaLVaFBcXu53geSk6OzsREhLiszSLdsLDw7F9+3aPCnsNDw+jqKgIBoMBhw8fRnx8/JKquz17vT9Km3qCTqcDES3pr8EYg1wux5EjR8Dj8VBYWOh2WQ8ia8Gs5ORkt32CVkpkZCTkcrlL5zpP0Wq1KCsrw9DQEA4cOIC0tDRwuVxwuVy89tprErlc/jMvDNnnrPvVHMaYLCkp6eKVK1diXKmsk5OTuHTpEvh8PrZv375k+cbFmJiYQH19PQ4ePOiX5DiAVXhpNBrs3bt3UcFgNBpx6dIl6PV67Nq1yyOnqaGhIQwNDXkt4ZA3VnNaW1shEAg8SuSk1+tx6dIlx+rPUoXK7VnvvGU4Xw4iQnl5OVJSUiCVeu61rtfr0dzcjMnJSezcuRNisdhlH3v37h2pq6s7SkRN3hi3r1j3molMJvv3V199VbLY3Dc8PBw5OTlQKpWoqKhAS0uLy0TPi2EymVBbW4s9e/b4TZAAQHJyMvh8PlpbW10eHx4eRnFxMSQSyYq8L2NiYjA6OrpustcT0YqyzwuFQuzduxdKpRKlpaWLFm3v6enB1NQUtm1zFa3hGxhj2LNnj0Pgu4vFYkF7eztKS0sRFRWFgwcPuhQk9j7eeOONaLlc/p/eGrevWNfChDGWIpFIrr/jjjuWfcplMplDNS4qKkJ/f79bqnFzczOSkpL84vI+n507d2J0dNTpASEiNDU1oa2tDTk5OUhISFjRagSHw0FMTIxf44OWwp59fqUGUYVCgYMHD2JgYAB1dXVOU8TR0VF0dXUtqeX5iqCgIGzbtg0NDQ1una9Wq1FYWAij0YjDhw9DqVQuO+bc3Fxs27ZthwdxO2vDWhttltrkcvlfz5w547EVcXZ2lurq6qi4uNjhpu2KsbExKioq8mkekOUwGAxUUFBAY2NjNDs7SyUlJdTc3OyVMblyr18pqzXAznWfX4yzZ89SQkIC8Xg84nK5xOVyic/nk1gsduzj8/kUFxdHr7/+Ok1PT9PU1BTl5eXRzMzMqsa3WiorK5cMu5icnKTy8nKqqqpa0gC9GI2NjSSTyeqxREqOtd7WfACLDgzYmZ2dvSqT/Pj4OBUXF1Ntbe2C1ROLxUKFhYV+y1mxFFNTU3TmzBk6d+7ciuOAXGGxWKigoMDt+JulWI0wMZvNTu7z8zl58iQJBAJijBGsUeJubTwejx5++GGf5nFxF51OR/n5+Y78K3YMBgM1NjZ6ZYXpjjvu0HA4nOtoHTyfrrZ1O81RKBTPv/jii6syyUdERCA3NxdSqRSlpaVoa2tz2BA6OzsRHR0NkUjklfGuhqmpKTDGwOFwvLoKwRhzFDlfS4aHhxEVFbUg7P/UqVMQCoV4+umnYTAY7D8iAOBYzeDz+Y68Jlwu12lKYDKZ8NZbb0Emk+HUqVN+ez+uCAoKQmJioqO4PRGhu7sbxcXFCAsLw+HDh1f93f74xz+OlMlkL3pjvD5hraWZqw1AdHJy8rA3px8mk4laWlooPz+furq6KD8/32MfBl/Q3d1NRUVFpNfrqbu7myorK7067XKVzWwlrEYzcZUF7uGHH16gafD5fEpMTKSzZ88u2pZ9KsTlchdcv9y1vsau7XZ3dzsipr2hFc4lOzt7GLZI4fW2rfkAXG0SieR/v/HGG979FmzMzMzQ3//+d8rPzyet1udZDJaktbWVysrKnFTjxsZGampq8mo/yzmKucNKhYndgS4xMZF27txJmzZtIj6fv0AQpKamuj1d6ezspOrqanr11VdJIBA4tRMcHLxmAmV6eppKS0vp9OnTPru3PvnkE4tcLv8trYPndP627qY5jDG+QCD41v333+9dP2gbBoMBoaGhSE9PR11dHS5evOi38gZzaW9vh0ajQXZ2tpPr/vbt26HVar3qDq9UKtesjKhKpXIsB7/wwgvo6+tzCoXIysoCEeGhhx7CK6+8smx7w8PD6OvrQ0ZGBp5++mno9XqcPHnSMf3R6XS44YYbcO7cOd+8IReYTCY0NzejsrISKSkpkMlkPouN+vKXv8wEAsGXGGOu15LXkrWWZvM3Pp//9R/84Ac+s4qWlZU5fgEtFgv19PRQXl4edXR0+C2rfGdnJ5WXly/an90lfKnE1Z7gDff6lWomxcXFND09TYmJiaRUKp20iOjoaBoYGCAiooGBAdq8efOSbWm1WsrLyyNXlQjOnj3rdw3FYrFQb28v5eXlUXt7u+P7nJ6epvPnz/tslfCnP/3pbERExDO0Dp7XuduaD2D+plAoalpbW1f+SS/B8PCwy6VSo9FITU1NVFBQsOJsXO7S09NDpaWly9prpqenKS8vb9XTEzvV1dWrWvVYiTCZa68Ri8VOD/vJkycpIiLC6XyxWLxoW3q9nvLz82l8fHzRc+bbYRISEjwes7vY3Qrq6upcxlldvHiRent7fdK3RqMhmUzWhXW2TLyupjmMsWSFQhHvi+LRRITm5mZs3bp1wTEej4dt27Zh37596OzsRGVlpU8iQkdHR9HZ2YmsrKxlvW1DQkKwe/duVFVVeSVCei2mOvayn+fOncPExIRjP5/PhyeVFy0WC6qrq7F161ZEREQset6bb76Js2fPOvXv7enO7Owsamtr0dTUhPT0dOzevduli39aWprT6qE3iYyMRE5OTjisZWLWDetKmMTExDz2xBNPLJ3+fYUMDQ0hLCxsSU/X0NBQZGdnIzk5GdXV1WhqavLINX8ppqen0dDQgKysLLfTG0gkEqSkpODChQtWNXIVeOJeT0SYnZ3F5OQkxsfH0dnZCbPZDK1WC51O53Ybdvf5hx56yDF+gUCAu+66C5WVlZDJZI68ICqVymV8CxGhoaEBUqnUrSDMY8eOOWJ/iAj333//ste4g9lsRmtrK8rLyyGXy3HgwIEl3QqEQiEUCgW6u7u90v98/vVf/1USGxu7ptno57NuAv0YYzy5XN7X2dkp80XG+ZKSEmRkZCA0NNSt84msfgKdnZ1ISUlZNlJ3KYxGI0pLS7F79+5FYzCWorm5GWazedUZwxobGxEdHe30UM7MzGB0dBQTExPQarUOY7RQKIRAIACHw0FPTw/4fD5kMhmMRiP0ej2ICDwez5GJPioqCqGhoY7PaHx8HK2trY6cIvYM+J988gleeukl/OhHP8K5c+cQFRWFEydO4JVXXoFGo8HJkyedxrySVInnzp3Ddddd5xBgP/nJT/Dss8+u6DMjIgwODqKlpQWxsbFISUlxO4bLaDSipKQER48e9bqbPxFh06ZNw11dXZuJaH2Eh6/1PMu+AbjhkUceWXxCvAo0Gg2ttOqfXq+nhoYGKiwsXJFB1GKxUHV19armz95Kbj0+Pk4VFRWkVquprq6O8vLyqKysjK5cuUJqtXrJHCuubCZ6vZ6Gh4epra2NKioqKC8vj2pqakilUlF9fT2pVCo6efKkkx1j+/bt9OKLLxIR0cjICF177bWUmppK11577YLPdzVJnOf2y+PxVmQMnZiYoNLSUqqpqXFp9HUHezJvX/DSSy/pQkJCvkvr4PklWkcG2Li4uN+fP39+dZ/uIlRVVa16ZUSr1VJpaSlVV1d7FAfS3d1NFy5cWFXfRP8o1zA8PLyi6ycnJ+nixYv0ySef0IULF0itVnv0kLpjgLVYLDQ6OkoNDQ30ySefUF1dHfF4PCejq7t4o0yI3bGNw+FQc3Oz29fp9Xqqr6+noqKiVbvqT01NecVp0BVtbW0UFxdXTuvg+SUi/xXhWgrGGJPL5Ydzc3O93rZOp4NOp0Nk5OqKwdtTHQwNDaGiogIKhQKpqalLqryTk5Po6OjAoUOHVtU34FzYKysrC2FhYW5dNzY2hitXrsBkMiEpKQkCgQACgQAxMTGrHtN8GGOQSCQwGo0gIshkMieb05NPPulWO3q9HhcuXEBmZqbbBbNcweFwYDabQUT461//ipiYmCUrMlosFnR1daG7uxupqalLlhB1l9DQUPD5fIyNja36HpxPSkoK+Hz+JsZYCBGtedLf9WKA3Zudnc3zdt5VwJoRftOmTV6Zs87NAsblcpfMAkZEqKurQ0ZGhtfyyQYFBWHPnj2orq5edoVncnISFRUVuHLlCjZv3oyDBw8iLi4O8fHxXqnZuxS9vb2Ij4+HTCZzxOMwxlBaWrps9jez2Yyqqips37591Wkh7M5yRIRf/vKXaGhoWNSgrlarUVRUBL1e71Y2O09ISUlBe3u7V9qaz1e/+lUhgOM+adxD1oUwiY6Ovvuee+7xep49s9kMtVoNhULh1XY5HA5SU1ORm5sLtVqN0tJSp6VPwBpIGBUVtSKD61KIxWJs3rwZ1dXVLldVTCYTGhsbUVdXh7S0NOzfv9/pFzE4ONin2euNRiOmpqYc79v+QHI4HOzatQtNTU2ora116XVsF8CxsbErylw2n7ffftshyDUajVMgnp3p6WlUVFSgu7sbWVlZ2LZtm9eTiUskEszMzPiknMcdd9whiouLe8DrDa+AdSFMeDze166//nqvZ7UZGhqCVCpdtkj1ShEKhcjIyMCOHTvQ2NiI+vp66PV66HQ69PT0YMuWLT7pNzY2FlFRUWhsbHTaPzo66ohSPXTo0KIqvS99TuzLwa5+1UUiEQ4cOACZTIaSkpIF5SJaW1vB5/OxadMmr4zl2LFjjtcajQZJSUnQaDTQarWOlJg1NTVISUlBVlaWz2oJM8agVCp9ohHm5OTAbDbnMsbW/Fle8wEwxuKVSmX4Us5IK8WubvsasViM3NxcREdHo7S0FOXl5di6datP00CmpaXBZDKho6MDRFaHvObmZmRnZyMpKWlJFT02NhYqlcrl9Gy19PX1QalULnrcnhYhNzcXvb29qK+vh8ViwcDAAEZHR71SeW8u9vdIRI66N5WVlSgqKkJoaCgOHz6M6Ohor/bpiri4OJ8IEy6Xi4MHD3IBZHu9cQ9Zc2ESEhLytX/6p3/yuiTR6/XQ6/V+y1fCGENcXBx27NgBi8WC5uZmDA0N+bS/3bt3o7+/H4WFhbBYLMjNzXXr15XH4yE8PBxjY2NeHZN96uTOGIRCocOQXFhYiObmZuzbt89nWiRg1U4uXrwIHo+HlJSUZYWuNxEKhRAKhZicnPR623fffbdEKpXe7fWGPWTNhUlkZOQ3b7nllpWb7Behv78fcXFx3m52SYgIV65cQXZ2Nvbv34++vj6Ul5f75AYCrBHQZrMZBoPBY4NhfHy81wt1udJK7HYdV/Ydu5ZiX/3xtk3h3LlzTv1euXIFGRkZOHDgADo7O/2ebDs+Pt4n08svfelLjDF2i9cb9pA1FSaMsfCgoKCEpKQkr7e9FsJkaGgIoaGhCA8PR3BwMDIzM7F582bU1dU5Cop7i6mpKVRUVGDXrl3Yv38/ampqPEqlEB0d7dXs9USus8/PnWbMx2Qyobq6Gnv27EFWVhaqq6u9qi09+OCDjn4VCgVycnIQHh4OoVAIuVzuM1f3xZDJZBgaGvL69DIsLAzJycnBjLFkrzbsIWutmRy75ZZbPC90sww6nQ4cDge+cMtfDCJCS0vLgkBCiUSCQ4cOQSQSobi4GF1dXau+mWZmZlBVVYU9e/YgKioKIpEI27ZtQ1VVldvCwZ693ltTsYmJCYSFhS3IPm+ftsyfvhARamtrkZCQ4EifuX//ftTX1y9YGfMUIkJ/f7+TjeLXv/610zkpKSno6upyuxCaN+ByuYiIiPBJcbR7771XHBoauqbayZoKE5lM9sVrr73WPe8rD1Cr1ZDJZN5udtk+IyIiXBYBY4whISEBhw4dwszMDIqKijAyMrKifmZnZ1FZWYmMjAynCFqZTAa5XI76+nq3hZW3pjotLS3IycnB/fffj4yMDIhEIvzsZz+DRqNxjMVisTgF3TU3NyMkJMSpIFdISAj27duHCxcuYGpqakVjGR8fR2lpKf7yl784BAWfz3da2bHvi42N9XtNZrt24m0OHTrEl0gkX/J6w56wnIssgHgA+QAuA7gE4F9s+zMAlAOoA1ANINu2nwH4OYA2AA0A9i7WdmxsbJ03s7Hbqaio8HtKxpKSErf7nJqaovLycqqsrPQoX4nJZKKioiIaGhpyedxisVBdXR15kg+moKDALZf1pdzp52afN5lMJJPJqKuri5566im64YYbnGJziIh6e3upvLx80XiZ8fFxj13pZ2dnqba2loqLi2l8fJwSEhKccsMudo23azIvh16vp8LCQq+3azAYSC6X95C7cTTA47bnuRHAewCCACQDqADQCuADAAJ32yNyL5+JCcATRLQNQA6ARxlj2wGcBPACEWUA+JHtfwC4AUCabXsEgMtKZMxqLVR4W4OwWCyYnp52293cG2i1WnA4HLc9NkNDQ7F//34kJSWhqqoKly9fdivVQX19PeLi4hZ16LIvfarV6gU+HIvhjez1arUa0dHR4HA4OHfuHFJSUpCYmIiPP/7YyXEMsKZubG9vX7JgVkREBLZs2YKamppltSyLxYK2tjaUlZVBKpUiNzcX1dXVTobOt99+2+W1QqEQYrEYw8PDK3jXK0MgEIAx5lEFQHfg8/mIiIgIYowtGxbPGIsD8M8A9hHRTgBcAHcBeBXA60SUBmAMwEOejGFZYUJEKiK6YHs9CauGEger1Levu0YAsN+RXwXwPzaBWQ5AzBhz5YKamJKS4slY3UKj0UAikfi1spvdZd9TYmJicPjwYQQFBaGoqAi9vb2LPjz2hyM5eWkbG4fDwb59+9DS0uKW7UGpVK5a1e/r63P487z//vu4+27rKuXQ0BAUCgVeeuklx7k//vGPMTU1tWxlP4VCAbFYvGj5VCJragD7svjhw4cdznJzDa+JiYkLpjhz2bRpEzo6Ojx6v6tFKpX6pNJidnY2B9YZgzvwAAQzxngAQgCoAFwL4A+24+8A8MgG45HNhDGWBGAPrKrQYwBOMcZ6Afw7gP9lOy0OwNz1rz7bvvlkHj582L3kIh4wNDTkV3uJ2WzG2NjYigPnOBwOkpOTcfDgQYyNjaGkpGTBisb09DTa29uxa9cut9oUCATYt28famtrl11uDQ4OBofDWXFmObv7fEREBAwGAz755BPccccdTuc89dRTTsLjwQcfdKvtLVu2QK1WQ6PROO2fnJxEeXk5+vv7sX//fmzevNnhIHjq1Cn09PQ4zl1MK7EjEolgNBp94uq+GL4SJkeOHIkMDQ3NWe48IuqH9ZntgVWITACoATBORHYVebHndlHcFiaMsTAAfwTwGBFpAXwXwONEFA/r/Mv+rblSCRb83MpksmsOHDjgdWGi0Wi8WshqOQYHByGTyVatCQkEAqSnpyM9PR3Nzc24cOECZmdnQUSor69Henq6R3V6w8LCsGPHDlRXVy+7YrEaQ+xc9/m//vWv2Lt3r0OY2zOpERHuvfdexzVqtRqPPPLIsm1zOBxkZGTg4sWLsFgsMBgMuHjxIurq6rBlyxZkZmY6GbzPnTuHZ555xvH/clqJHV+5ui9GREQEtFqt19vdt28fRyKRXLvceYyxSFhnEMkAYgGEwmqemI9Hy45uCRPGGB9WQfI7IvqTbfd9AOyvP8Q/3Hn7YDXa2lHiH1MgB3w+/8ju3bs9GeuyWCwWmM3mFRfHXgnedtkXiUTIyclBbGwsysvLUV1djZCQkCVD5xcjJiYGSqUStbW1S9oeFArFit3r505x3nvvPccUBwBuvvlmvPPOO2hqaoJYLEZ6errj2FtvveWWQAkLC4NcLkdVVRVKSkogFotdxh2dO3cON954o+M9CASCZbUSO75ydV8MxhiEQqHXtaGtW7fCZDKlL38mjgPoJKJhIjLC+hznwmqSsBu4XD63S7GsMLEZSt8GcJmIXptzaADAUdvra2G1AAPAJwC+yazkAJggIidroK3NhM7OThQUFKCyshLNzc0YGBjA1NTUiv0wtFqtX8t9GgwGGAyGVYfKz8ee6iA3Nxejo6MYGxtb8cOelJQEoVCIK1euLHrOXPd6i8XiSHx98eJF1NTU4OOPP8bMzAwaGhrQ3t6O4eFhmM1mh/t8cHAwZmZmcObMGdx6662Odk+cOIE///nPuOGGG1BfX4/8/Hw8/PDDjuP20p5LJX0eHh6GSqXC2NgYsrOzXXr6PvLIIzh+/LjDaY8xhtOnT7ullQBWweMrV/fFiIyMXLGDHhFhenoaKpUKLS0tqK6uRkFBASoqKiASiSLcMML2AMhhjIXYnsVjAJpgXbW93XbOfQA+9mRcy+aAZYwdAlAE4CIAu0fUswC0AP4DVkPOLIDvEVGNbXD/P4DrAcwAeICIque1mXjw4MHK4uJiqf2D0Wq1mJychFarxfT0NBhjCA8PR0REBMLDwyESiZZ1Quvs7ASwvJHSW/T392Nqaspn0cGtra2OiNPLly9Dp9Nh586dHgtMIkJFRQXi4+NdegWTLQygp6cHPB4PkZGREIvFCAsLg0AggMlkQm1tLTIyMjA1NYWJiQloNBqYzWZER0dj165dLmNqRkZGcPnyZRw4cMBpReeRRx7BW2+95XSuVCrFu+++6xAA09PTuHTpEgBgx44dGB8fx+joqJN2c+rUKfzwhz90WhlhjOHVV1/FU0895dFn1N3dDaPRCF9URnDF4OAgNBoNtm/fvuR5BoMBWq3WsU1OTsJsNiM4OBgikcixhYaGgsPh4Bvf+Mbob3/725uJqHSpdhljLwC4E9bV2loA34LVRvI+AIlt371E5Pay07KJG4ioGK7tIACQ6eJ8AvDoMs1mHjlyJBSwfvlhYWELlnLNZrNDuKjVarS1tUGv10MgEDh9iOHh4Y4bdWxszGvh6+4wNDTkM8FlMpnQ19fnSMS0Z88ejI+Po6GhAeHh4di2bZvbWcgYY8jMzERpaSlCQkIc+U3I5gLf2tqKyMhIMMZw9OhRl4KBy+UiKirKYY8iIuTl5YHD4eD8+fNITk5GQkKC49rp6WlcvHgROTk5C/KDvPnmmwDgJFDUajWOHz8OLpeLxx57DF/5ylewfft2h2E7JCQEbW1tOH36NB544AGXBsz5AskTpFIpamtr/SZMxGKx0yrS3Pvd/nd2dhYCgcDxY5qQkACRSLRkvpUjR46I//SnP+0HsKQwIaLnATw/b3cHVhF9vCZpGyMjI3dnZGQsqYpxuVyIxeIFyYX0er1DSnd1dWFychIWiwUhISHQaDSQSqXgcrkICwvz6fIwEWFiYsLryY/s9PT0QKlUOlYpzp07hwcffBADAwMOl3kul4sXX3wRTz/99LLt8fl87Nu3D5WVlcjJyYHFYkF9fT1CQ0ORk5ODoKAgXLp0ybGcuxzj4+OIiIjArl27YDQa0draiuLiYuzevRshISEOd39XHsGAVaDceeeduOeee5wEg9lsxk9/+lO89tprVkcoDsfxPRKRy3ABgUCAF1980WNtZC7BwcEwGo0wmUxeT440FyLCzMyM4x6urKzEzMyMQxMXiUSIiYlBSkoKhEKhx/fwjh07uBKJZE3SEayJMAkNDU2ZHxDmLkKhEDExMU5LsUTkCHyzzyXnTpXmajIr+YJcYbfP+EJgERF6enpQXl6O559/HiaTyeVDZLFY8Mwzz+DEiRPg8XiIjY3F22+/vegvs73GcmlpKTgcDtLT051WvpRKJVpaWtwSJnMNr3w+31Ejuba2FmazGVu3bl1W0B47dgxDQ0P46KOP8NBDDznZEOzT76VijXg8Hl566aVVCZG5REdHY2RkxK36PO4wf4qi1WphsVgcU5SgoCBs2rQJEonEa6kXbCtrvk/i44I1ESaMsXhvplJkjIEx5vCctLOSqZK72J3jfMF9992H3/zmN4set2sr9iVfIoLRaER3dzeOHz+OxMTERYWKPeYlODh4wfgjIiKg0+lgMBjwH//xH3j22Wcd9W7s/TDGwOPxIJFI8Jvf/AbXXXed43p7DR2NRuNWbI1Op0NTU5Mjgjc8PNxhBzEYDAs0EztyuRzvvPPOiqYzSyGRSDA2NuaxMJl7n9m3+feZqymK3evZmzlc5HI5TCaTfwPT7Hjie++tTaFQXPFWDV07g4ODdOnSJbfOnZ2dJbVaTW1tbVRbW0vnz5+nvLw8Ki8vp6amJurr6yOtVrtkzEZNTQ2NjY15a/hEZC2+PTemxL5xOBwCQFKp1KkYt722LmNswTWMsQWlJXp6eqikpISMRiNdunRpwed19uxZio2NdfTnziYUCh39dHR0UHV1NZlMJqqurqYrV664fJ8mk4laWlooPz+fVCqVR7Exk5OTVFpa6vb5nqDT6aikpGTR4xaLhaampmhgYICam5upsrKS8vPzqaCggGpqaqi1tZWGhoZIp9O59Z7a29tXXQvJFbGxsf20Bs/1WgmTfm99cHZW+8V4eqPk5+evqDjUYpw8eXKBUODxeG7Xmjl58iTx+fwFD7v9+tHRUTp//jwZjUbH+62oqKCenp5FhdhcwWQfmyvBBYAEAgF997vfdRRkN5vNVFpaSiqVyukz7u/vp7y8PGptbV3x51dYWLiqejpLkZeXRxaLxeUPTn5+vuMHp7+/f9kfnOUYGhpy+wfQExITE9VYg6Lm/pdeAEtISFB776Oz0tDQsOICVUthMplobGyMuru76eLFi1RSUkLnzp2jTz/9lBoaGqirq4tGR0cdD+lKOHv27IKH1JOCVXNxJZReeeUVysvLWxChbDQa6Tvf+c6ims3DDz/sONceNWwwGOjb3/62S8EFwOkavV5PeXl5NDMzQ+Pj41RcXEy1tbVLVg50h+bm5lVVSJzL/O/39OnTdObMGSouLnZ8vxqNZlXf72JMTU1RZWWl19vdu3fvEIAo+hwIE/Hu3btdx9CvgrKyMo8q7a2GsbExqqqqouHhYWpvb19yqrTcr+/Zs2dJIBA4PcT/9m//tqrxzW8TAD399NMuz5svSIRCIT377LMLKuDZhUlXV5dj+rKYRh6UPVEAACAASURBVDNXoPT29tLf//53Ki4u9tq0cGxsjKqrqz26ZjHN8/z5806apy/Lec7HbDZTQUGB19u9+eabhwDsJD8/22thgFUolUqvL4Ho9Xq/ZVabnp6GSCRCdHS0U2ZzIudlv4GBgWVXlR566CEnz83XXnsNjz66nJvO0hw7dgynT5/GjTfe6Gj75MmT2Lp1K77xjW+Ax+MtcD8HgJdffhknTpyAyWRCcXExNm/evMD42dfXh7179wIAvvCFL+Ddd9+FSqXCo48+6ljifeutt5CamorbbrsNPT09EAgEbq3uuMtysS1z3Qfsfht29wH75x8bG+vSfWB2dtZnNYXmw+FwnD5/b5GYmCgEoIA1V4nfWAthEpuYmOj14Bki8lvagenpaYSGLnSTYYwhNDQUoaGhTsurc639w8PDaG9vx+zsLH72s5855SH9yU9+goyMDK/EFtkFynXXXee4YZ966ikkJSUhLS0N99xzj1PO2Oeeew7XXHON9Rdmjnv93BUfuz9EcHAwiKwBiHK5HAcPHsTtt98OmUzmECjPPPMMRkZG8PLLL2NqagqXL1/2WgAmYwwCgQAzMzMLll/nr6IkJSV5tFoXGhrq1zgdwPv3blJSUgisAXx+ZU00k8TERN9UO/IT09PTHlWcW8wBb+7S5mOPPYacnBzMzMzYYywWuEp7ytGjR/HII4/gl7/8JQBrkS69Xo/HHnvMyVHs5MmTeOqpp9DS0oJLly5h586djkzqc4XJ3Ozz7e3tYIw5eRz/6le/wm233eZInP3666/j5MmTiIiIgMlkgk6nW9SJbSmIFoZcTE5OorS01JEDVyqVIjU1ddXaaWho6IrTMawEHo8Hs9nsVUe5uLg4vlgs9ntyab8LE5FIlKhUKr1a2sJisfg1GZJer4dQKFxVG6dOnXJoDDweD6+//joGBgYwOTkJpVLp+KVVqVSYmppaMFUKDw9HUFDQku97cHAQjz/+OD766COH8LjvvvucMot97Wtfww9+8AMAwObNm1FTU4Ouri4kJibi0qVLsFgsDnV8YGAABw8exODgINRqNXJycsAYg9FoREtLC8RiMT744ANHsJ/JZMKpU6fw1FNPOdIcpKWlLfvZLjdFiYuLw+joKEwmE7ydYEsoFHo9C9pS8Pl8GAwGrwoThUKBsLCwjS9MgoKCIlxNEVaD0Wh0O05lvfT3wx/+0PHanonMPn1abKo0NTW1YKrE5/OdtJi5jlFqtRrJycl49913cfz4ccc+O1wuF2+88QbKy8sRFxeHTZs2Yc+ePSgrK0NoaCikUqnDvd5sNkMsFmNmZgbNzc3Izc0FYwxdXV3o7OxESkoKduzYAcYYHn74YUfczbPPPounnnrKEftiFybuOHotNUXR6/U+mY7480cJsIYCeLMECgC7Juu/vKU2/C5MOBwO39uxD0aj0a85TMxm86pLf9q9H7lcrsMdXKfTLepVay+TML+M6lybQU9PDyYnJ2EymRASEoKxsTFIpVJkZ2eDw+EscE1/+eWXoVAoIJVK0dHRgaKiImzduhWZmZmoqKjA1q1b0dPTA4VCAaPRCJlMhgsXLiArKwtarRZNTU2Ijo7GoUOHnD7/N9980yFMTCaTQwhqtVpUVFQ4SpHYNS2ZTIa0tDSPtL3g4GDodDq3z1+vCAQCj+oduYPt+fLfA2Hv198dcjgcgbeFiTce7vXASjQegUDgclVpbqzS4ODggho5jDF8//vfBxGBy+UiLS0N8fHxaGpqQmdnJzZv3ozm5mYA1hUOo9GIrq4upKam4vLly7BYLMjMzHQyRM+donC5XIe7/7PPPovvfe97CA4OxqZNmxAdHb1qDYDP53v9F90OY8wxvfM1HA7H67V7PjfChDHG96cWsR45deqU4waaKwQNBoNXNCzGGDgcDkQikSNW6Xe/+51jqmOnrq5uwVQpKSkJZrMZLS0tEAqFmJqacggVHo+Hjo4ObN68GUFBQRgZGUFnZ6djiiIUCh32nB/96Ed4/nlrhPt//ud/4uc//zmMRqPLWJuVwOPx3MrovxLsgtAfwsQX06rPlTDxZYj31cBzzz3neP3iiy86XhOR127g+aH0x44dA2PMYfQlIhw4cACA81Spt7cXWq0WRqMRjDHodDrH8rVOpwNjDK2trctOUeYKE/tD700B4G/bxtWE7Xv3+0O2Fk/15/4umKueeyt8fj7L+S7MFVr2BDx2T0aLxeLQNuY6VZlMJgiFQoSGhjoSWtmzsbnCLrzmjsMXTloBnLF97n6v1ul3YUJERl+pp1cLc42h586dc/I38dbD5koL+H/tvXl4W9dx9/89IECKFCnu+yJSCyWRlESJoiRSm201jiu7drbWdZLWbl33TdPETdo4cRLnl7RJWlvyz03d5E1jN2rixJHtxI7jLXHNfQc3UeIu7iRIEACJncSOef/AYoAEiIUXJCXh8zz3IXjvxbkHwD1z58zMmXFte9u2bejt7YVarYbRaHSbomRlZTnd7USEhIQESCQSREdHIzIyEtnZ2TCZTFhYWMD4+LhHr1JcXNwqYcJl4qGwUPKO/XcPjUFpDTZcmFit1ttemOTk5Dhruzz66KOYnJwE8KGbcL0xLIAtXmJpaQlzc3NQq9WrkjYvLy8jIyMDhYWFzutZLBaMj49jYmICBQUFUKlUiI6ORlFREaRSKcxmM3bu3IkbN24gJSUFhYWFThuPp6mSQ2BarVbMzs5Co9G41RZeD6E0um+U8TVU2Keot74wISIj18LEk9tzK3P58mWnMdS1jKUjgClQ9Hr9quhQR5lUlUqF+Ph4PPPMM27v4fF4zmx1RLbqeMPDw8jOzkZFRQWEQiH27dvnTFoUERGBPXv2YGxsDCdPnsT8/Dyampqwe/du5ObmrvIquQovR5EvpVKJrq4u8Hg8xMbGumkyvgLwVhLK2CKr1bph3sFQGHpvJ83EyLVLL5RuQk843HnB3nCu0xpXIbht27Y1a6mYzeZVgV6uU5QdO3agoKDAOfg7OjqQnZ2NHTt2rKo97JgmqNVq9PX1ITo6GidPnkRUVBQ6OjqQn58PrVbrDJ+PjIx0ZlPv7OxERUUFsrOzMTw8jKamJhQXF7vFyHz60592vs7NzUV+fj4kEgnOnDnjFoDna6rkzbul0+k2bGFnKAmFUDSbzSBbPZwNZcOFiclkWuK6+FAoAn/WwiG81vP0crVpOELOHetCXNeiOLbl5WW3QK+VUxRPpKamQiaToaOjw6P95MUXX8SBAwdQXFzszFg/ODiI2NhY5Obmor6+HqdOnXL2Vy6Xo6SkBFlZWbh27RqOHDmCkpISaDQa9Pf3O3PBRkdHu0Xa/vSnP4VMJnNqQmsF4DmEpWOq5AjAc11KEBsb63Wx5XrZaFsMV+EArtgrQW54RN+GCxOFQjElFovNXF57o6c5jvUb63ky/uu//qszq/xTTz2Fj3/841hYWIBCocDs7Cy2b9/uHDw5OTnYvn17wO7QzMxMCIVCr7V9v/GNb0AqlTrbnZmZgUajQXl5OZRK5SrNwBFev2vXLly7dg2jo6PYu3cv4uLicPLkSUgkEgiFQrz33nvO9/B4PJw/fx5CoRAHDhxYs7+RkZFu5TQA2+DW6XROoTo/Pw+tVgu9Xo/Y2FgQUdBTJU9sdDR1KDQTiUQCnU435ftMbtkM17B4cnJyGcDGld7jGIcGsfLJuhYrpyiVlZXO4Cij0YjLly/jn/7pn9Db24s77riDk35GRUWht7fXrZD3vffei3fffReArUjWs88+iyeeeAJyuRwTExPONTeeyp7m5uZiaGgIWVlZOHjwINra2hAbG+tcQ5Seno7U1FS34Ljc3FwsLy/DZDIFVW2RMYaYmBjExMS4JXpubW3F7t27YTAYnMFzOp0OAoHAqcU4CrgFIhxCpfF4w2QycV5aQyQSWeRy+RinjfrBZgiTuampqZAsy9yonCYxMTFel6k7QtldBcfS0hIiIiKcdgDHFCU7O9s50J9++mmcP38eAoGAUxfqd77zHedrgUCA1157DQUFBW55R4qKihATE+MsmOUoEVpSUuLW1o4dO6DX62E0GhEZGYny8nI0NzcjOjramV7hc5/7nFt4+Je//GX09fVxWtyKiKDX65Gamrrq9zaZTKu8SmazeVUFvNjYWI+Gz40WJgD3AXhTU1NLRBRQnWAu2BTNZGZmhvOJqcNuwoVb1Rfbt2/H4uKi04viulyeiJxTlPj4eOTm5iImJsbjDXP58mVnNjQiwoULF/DDH/4QBw4ccKsLFCx/8zd/g4WFBef/3//+9xETE4Nf/epXzqRJRITPfvazGB8fd+YakUqlSE1N9TjYsrKyMDs7i4KCAmdhr46ODlRUVOCTn/yk2xTnsccewyc/+Ulcu3YNAoEAiYmJnPw+Wq3W67RPIBD4nCpJJBJoNBpnNUlXIaPVajesXnWo7DP2h7XY54lcs9F5IgGw/Px8zhNK9/T00OLiItfNEpEt8fLi4iJNTk7S9evXqaGhgd5++21qbm6m3t5empqaIoVC4czMHggr87BGRkbSiy++uK7+fvDBB5SSkuKWl/Xee+8lo9HoPOfixYte87a2t7eTUql0a9ORA1an01FjY6PbMZlMRn/3d3+3qj2z2Uz19fWkUqk4yUrvYHR0lCYmJtbVBpEtB6tKpaKZmRnq7++n1tZWevfdd6m2tpZ6enpofHycFhYW3L43LlleXqa2tjbO2z1+/Pg8gHTa6LG90RckImRlZXGesXdkZISmp6fX1YbFYiG1Wk0ikYgGBgaora3NmXT46tWrNDo6SjKZjPR6vbMkAhesHNhYR3b6N954g/h8/qqBPTs7S62trW59/tSnPuV2XlpaGv3hD3+gurq6VZ/NIUyIiFpaWkij0Tj/d9TvcWwJCQlktVqpu7ubxsbGnOeZzWYaGhqi2tpamp+fD+rzERE1NzeHLHl4bW0t6fV6WlhYoPHxcerp6aHGxkaqqamh1tZW6u/vp5mZGVKpVOsWilKplHp7eznq+YcUFBRIAfDodhAmGRkZY+std7CSubk5Ghwc9Otcq9VKOp2OJBIJjYyMUFdXF9XV1VFtbS21t7fT0NAQzc3NkVar9SowOjo6SKVScdZ/TwJlZdGttXj33XcpIyNjzUzxQ0NDdPXqVbJarTQ5OUkdHR2rBAEAioiIWCXMXIXJzMwMXb58mdLS0la9VyAQUFVVFQ0ODjqvtZLl5WXq7OyklpYWUqvVAX1POp2OGhoaAnqPvxgMhlValwOr1UrLy8s0Pz9PN27coM7OTqqtraXa2lrq7Oyk4eFhEovFtLS05PdDZmJigsbHx7n8CERElJ2dPUebMK4Z0cavccjLy2tubGys5Cq0GrAFX42MjKCsrMxtv9lsdtozVCoVNBoNjEYjtm3b5jSIOv4GEjcyNjYGPp/PWXg4AGdpTNe0gY50Ao4i5a4LAx3FzGdnZz3mxHDkdnVARBgcHIRSqYTZbMapU6cQERGBv/3bv3UmM/KEI20jEbm9XklaWhqeeuoplJeXIzIyEkeOHFnTuCiXy9Hf34+EhATs27fPLxfp2NgYeDweCgq4z0oolUohlUpXGZ7Xwmq1uiV/UqvV0Ol04PP5qzLgrfQq9ff3IzU1NaB8wr4wmUzIy8ubEIvFu3yfzS2bJUxefe211/7s5MmTnLVpMpmc5RlcA70cmdZdf1Qu/PpyuRzT09MoLS3loPfurDW4XQWet6Q6kZGRqwSPA0ci5ujoaBw7dgwxMbbc3tXV1XjooYfc8sP6i6OA+OOPP47u7m6oVCqUl5f7lY2eiDAzM4OxsTEUFBRg586dXgUQEaG+vh6VlZUhCaUfHh5GbGwssrOz192Wq1fJ8TAzmUxuXqWpqSkcPnwYsbHcZVgUiUSoqKgQzszMcDe4/GRTEovo9fqJubngPFdENregq+vV4UVZXl6GRqNBQkIC8vLyvHpRuCAhIQHXrl2zqXccX+OFF15AZWUlnnrqKUilUrelAt4ESEREhEftxRWj0Yiuri6cPHkSJpMJ7e3tyMvLQ35+Ps6fP4/GxkZER0fje9/7Hv77v//bqX1400ySkpLw2muv4a677oJIJEJLSwv279+P+Ph4CIVCnDx50mc2esYY8vLykJmZiZGRETQ0NKC4uNgtc5wDqVSKhISEkK3JkclkyM/P56Qtb14lVw+gSqVCZ2cnAKzyKkVHRwd1X83NzYExJuLkQwTKpsytGHvou9/9rs7X3M/hRZmYmKBr165RU1MT1dTUUEtLC/X19dH09DQplUqnF6W9vT3gOfh6EAqFIbueXq+n2tpaslqtVFVVRTt37iQ+n088Hs+5RUREUGRkpF/GWovFQs3NzW7V6kwmEw0ODlJNTQ2NjY1RTU2N1zKYrjYTIpsNobq6miYmJqiuro56e3vd6v+urG3sL1qtloRCIQmFQtJqtW7HmpubQ/Z9GwyGkNliPGE0Gp32GU9epZqaGmpoaAjYq/TSSy9Z4+Pjn6JNGNc+NRPGWC6AlwBkALACeIGI/sN+7IsAvgDADOBdIvqqff/XATwKwALgcSJ6f4UA666vr9c89dRT2wA4V7iuXIviOkXJysryOUVJTEyEQqFAXFxcEGI1cNLT0yGRSEJyvaioKKSmpkIkEuHOO+9EVVUVRCIR9u3bh4yMjICeWkSE3t5epKamumW85/P52L9/P3bt2oXh4WHodDp0dnYiNTUV8fHxzsRHDm3EYDA4VyLLZDJn9OmJEydWLS1ISkpCQUEBurq6cPz4cb/7u337dhw/fhwymQydnZ1IS0vD3r17oVAonEmcQoFUKuXUduELhULhDPRzpNhcGd9iMpmcGvjs7CwGBwedU6WVZU8cMUFNTU1KlUrVsvJ6jLHLAO4DICWiEvu+JACvAsgHMAngz4hIwWw/1n8AuABgGcAjRNTt6zP5tJkwxjIBZBJRN2MsDkAXgI8BSAfwTQD3EpGBMZZGRFLGWBGAKwCOw1ZVrApAIRFZXNrk5ebmLv72t79N0Gq1ICLExsa6fUHBTFEWFxchEolw+PDhgN4XLDqdDt3d3c7FcFxjMBjQ0NAAPp+P7Oxs7N69O6jFhePj41CpVCgtLfX6nV6/fh0ZGRnYvn07FhYWoFarodVqnQF1Wq0WSUlJzoC8lJQUWK1WDA0N4cSJE16v7Ug+XVxcHHC/rVYrpqamMDExAavVihMnToRMmHR1dWHXrl3OBY+hJlj7DK2YKjl+J8cYeuSRR1T9/f35RKR0fR9j7CwALYCXXITJRQByInqaMfYkgEQi+hpj7AKAL8ImTE4A+A8i8v4j2/GpmRCRGPZoOiLSMMYGAWQDeAzA00RksB9zLBN9AMAr9v0TjLFR2ARLq0ub1tzcXFlycnJCaWkpZ7kj4uPj0d/fz0lb/uCwBwRbqW4t1Gq1cyWuIxFRMEgkEojFYlRUVHgVJI7w+YMHDzpLnK6krq4OlZWVq/YbDAZneL0n9u/fj87OTkxPTyMvLy+gvju8NkSEqakp9PT0rEp1wAWOdVNc1UL2B6VS6UzvEAiO8qzR0dFIT0937nek2pTL5YaVggQAiKiBMZa/YvcDAO6wv/45gDoAX7Pvf4lsmkYbYyyBMZZplwVeCSgri70zRwAIARQCOMMYEzLG6hlj5fbTsgHMuLxNZN/nhtVqbRodHeU0CQ2fzwcRcV46YC2ys7MhEnFn7zIajejt7cX169exf/9+nD17FouLi9BqtQG3pVarMTg4iGPHjq2ZgEcikXhc5+IP2dnZaxbDYozhyJEjmJycdAvt9xeDwYCpqSmcPn0ahw8fxvDwMLq6ujitmSMWiwOeOq4HsjsLHJ40LuDxeJifnwefzw/kaZruEBD2v455nl9jeFUf/L0qYywWwOsAvkREati0mkQAJwE8AeA1+1zL0y+yai4lFour29vbuU1sApvdRC6Xc92sV7KzszE3N+cx7iIQrFYrJiYm0NzcjISEBJw6dQqJiYng8Xg4dOgQenp6AkqzYDAY0N3djaNHj/pcDyMSiVatEPYXf4Qpn89HeXk5ent7A6rjS2Qrjr5//35n4qSTJ08iOzsbQqEQN27c4OTB4VpDeSNYWloKiaexs7OTNBpNHQdN+TWGV+KXMGGMCWATJC8T0Rv23SIAb9iNyO2wGWdT7Ptd78wcAKv8wETUVV9fr/bn+oGQlpbmlpgn1AgEAsTExEClUgXdhkwmQ2NjI/R6Pc6cOYPc3Fy3Gy0xMRGpqakYHh72qz2LxYLOzk4cOHDA56I1o9GI5eXlgNIpuLJt2zbw+XyfmlN0dDSOHDmCzs5Ov7PiTU1NISoqys1ozBhDRkYGzp49Cx6Ph8bGxnUJc51OB4vFwmmshy8kEonbFIUrmpqaVEqlsjmQrthtog7bqGPg+DWGV+JTmNi1jZ8CGCSi51wOvQngLvs5hQAiASwAeAvAnzPGohhjBQD2Amj30PTI4OCgr8sHTEpKSlDq9HooKCjA2Fjg6SOWlpbQ3t6OyclJlJeX48CBA15TDxQWFkKhULhV5fOE42memZnp1w07Nze37iAtR1FyXyQkJGDv3r3o7Oz0qWUpFApMTU15jUbl8XjYs2cPTp48CalUipaWlqAE+sTEBGexJf4SKs9RS0uLCcDVAN7yFoCH7a8fBvA7l/1/yWycBKDyZS8B/NNMTgH4CwB3McZ67NsFAJcB7GKM9QF4BcDDdi2lH8BrAAYA/AHA37t6chwQkcVsNsuVylW2onXB5/MhEAg2tA5tcnIylpaW/L6myWTCwMCA04NQXl7uc/7MGMOxY8cwODgItdq7QuewQ/kbbi4SidYtTDIyMjA/P++XdpCVlYWkpCT09fV5PUen06Gnpwfl5eU+bWrbtm1DaWkpiouL0dfXh2vXrrktR1gLs9kMiUSCrKwsv87nArPZDIPBwKm9BLBNk2UymYmIPM7xGWNXYHOC7GOMiRhjjwJ4GsBHGGMjAD5i/x8A3gMwDmAUwIsAPu9XJzYjuMWxZWVl/ay6upq4hqsl6oHgCDhaC6vVSlNTU1RTU0MTExNBrTpWq9VUU1NDS0tLq47Nzc1Rc3Oz36tZtVotNTc3+3XuyqC1lXR1ddHCwoJfbVmtVurs7PS4yM1gMFBdXZ3fba1sVyQSUU1NDY2Ojvr8HsbGxujGjRsBX2c9iMVi6uvr47zdoaEhysnJqaNNHM+bWhxELBb/b2NjI+cqhCOYbCPJysqCRCLxmthaLpejqakJarUap0+fRn5+flAGuLi4OBw+fBjt7e1umpBKpcLw8LBPz40r6zG8riQ3N9etbMdaMMZQWlqK2dlZN/uWyWSCUCjE/v37/VrX46nd7OxsnDlzBmazGQ0NDV7vA0cMy60yxWltbbVqtdoazhsOgE0VJkT0wa9//evAfZ4+2L59O3Q63YaXv9i1axdGR0fd9ut0OnR1deHGjRsoLS1FSUnJuhMWJyUl4eDBgxAKhVhaWoJer8fVq1dx7Ngxv9etEBHEYrGbcXM9pKSkQKFQ+O1diYiIQHl5OQYGBqDRaGAwGNDW1obdu3ev2zjJ5/Oxb98+nDhxAiKRCG1tbasMxJOTk8jKytrQ5NFEhMXFxaAEpS+uXLkiVyqVv+W84QDY1AriRCTLyspakEqlqVxKa8YYsrKyMDc3x2mKAF/k5uaioaEBBQUFiIyMxOjoKMRiMQ4cOMC59T45ORmlpaVob7fZtg8ePBiQR8Kx7ICrXLOMMWf2en9tEFFRUTh69Cja29vB4/FQUlLCSbpKB9HR0SgrK8Pi4iK6u7uRlJSEffv2gTGGqakpnDlzhrNr+YNMJkNSUhLnRbeMRiOuXbtmAuDdELUBbHoNRL1e/8o777zDeZRZTk4Op8Fk/sDj8bB3715cvXrVGQZ/9uzZkLgBAVvEb3R0NMxmc8AGZ0/Z59dLIFMdBzqdzlmOMxRPbMAmeM+cOYO4uDg0NTWhq6sLeXl5nGeF90UovnMAqK+vB4/HqyJaZ7DTOtl0YaJQKF775S9/yXmUmcNavry8zHXTXlGpVJiYmIBarUZJSQl2794d0pq1jvUdd955JyQSCXp6elYV2/KE1WqFXC7nVAsAbNnrDQaDX94Uq9WKwcFBjI+P4+zZs8jOzsb169fXHfznDcYYdu7cibKyMigUCohEog0NIXCE7Idi7c8rr7yiFIvFL3HecIBsujABMDwwMGDkusofsHHaicFgQE9PD/r6+nDw4EFUVlZiaGgoZAMDAGZnZ6FUKlFcXAw+n4+ysjIkJiaiqanJ5yCRSCRIS0sLSfi4r/B6wCZ0m5qawOfznSVJd+/eDcC2KDGUDA4OoqysDGVlZRgbG0NHR8eGPHAc9imuv3Miwvvvv28C0MBpw0Gw6cKEiIgx9ofa2lrO23bYTUI1qK1WK0ZHR9Ha2oq0tDRUVlYiPj4eO3bsQHJyMiYmJkJyXYVCgdHRUZSVlTlvTseT9/jx4xgdHV1z/crMzEzIwsfXEiZGoxHXr19Hb28vSktLsXfvXrf+Hzp0CPPz85ifnw9J3+bm5iAQCJCamorY2FicOHECO3fuREdHBwYHB/3S6oIlVN95b28vAPQS0cbVx/XCpgsTAJifn//llStXOJ/qCAQCxMfHB5WK0BcSiQQNDQ2wWCw4c+YMsrKy3J46hYWFmJ6e5vyp5xrQ5ckT4SimlZOTA6FQiP7+frdph9FohE6nCzp83hfbtm2DQCBw856YTCYMDw+jubkZSUlJOHXqlMcwfx6Ph/LycgwNDa0ZmBcMRqMRw8PDq1IhpKWl4cyZM4iKikJjYyNEIhHnDx+1Wu11NfZ6ef3115elUun/cN5wEGxKDthVnWBMkJWVNSsSiVK5VgMdS/krKio4ac9TkW5vLC4uYnBwEJWVlZzYTsxmM1paWlBSUuLXMnyr1YrZ2VmMjY0hMTERBQUFkMvlMJvNAVfYq6ur87tsqUgkgkajQV5egEvZzwAAIABJREFUHiYnJyGVSpGfn4+8vDy/VolrNBp0dXWhoqKCk6JdRITOzk5kZ2ev6WkyGo1OQeZazH299PT0ICsrKyTxJQcOHJANDQ3tJy+RrxvJltBMiMjE4/G6r14NZFmBfziegOt90plMJvT29qKnpweFhYUoKyvzmcMkOTkZqampuHHjxrquDdgGRFdXFwoKCvzO58Hj8ZCbm4tz584hIyMDg4OD6O/vh8ViCdlyA0d+k7GxMfT09CAhIQHnzp1DQUGB3+km4uLiUFRUhI6ODk5WBU9NTSEyMtKnyzoyMhKHDh3CoUOHMDg4iO7ubqzXlmcwGKBSqTg3dgM2O4xarZZsBUECbBFhAgBisfh/XnvtNf/XpwfA7t27gzbsEREmJyfR1NSE+Ph4nD59OqDkPIWFhVhcXFy352BwcBBxcXFBuRYZY0hPT0dJSQni4+MhEAjQ3d2NhoYG9PX1YX5+HjqdLij13mAwQCqVYmBgAE1NTWhvb4fVakV6ejr279+P7OzsoLSytLQ0ZGdno6enZ13TDrVajampqYAyve3YsQMVFRXIzMxEW1sbRkZGghZqk5OTQUc7++LNN980Ly0t/YrzhoNkS0xzAIAxFpOdnT05NTWVymXCJMAmEBoaGpyeA39ZWFhw1jbZu3dv0NGSOp0ObW1tOHHiRFALvKanpzE/P4/y8vJ13ZTDw8OIiYlxCiSTyQSFQoGFhQWoVCro9Xrw+Xxs27YN0dHREAgEiIiIAI/Hw8jICPLz850xLXq9HiaTCVFRUU6Dc3JysjMCVyaTYXZ2dt2lQK5fv45t27YFlWnOaDSipaUFR48eDbp+sMViwfj4OGZnZwPOv2uxWNDQ0ICzZ89ymgTMQUlJiay/v/8w+bGidyPY1AhYV4hoOTMz838/+OCDz9xzzz2cts0Yc6YJKCoq8nn+0tKSM/3jsWPH1m04i46OxuHDh9HR0YHKysqAhNLi4iImJydRWVm5LkHiCJ8/ffq0c59AIEBaWprbXH6lsLBarbBYLGCMOSNmXYWNN1JSUtDX1weLxbKugVRSUgKhUIi5ubmAVvdarVZ0dnZi//796ypEHhERgb179yI3NxeDg4OYmJhASUmJX21OT08jKysrJIKkt7cXCoXixlYRJAA2d9Xwyg1A6fnz52V+LJIMGIvFQrW1taTTea+wYTKZaGBggOrq6kgq5by2Os3MzFBbW5vfq4W1Wi3V1NRwUld3cXGROjs7g36/r1XDnujv76fZ2dmgr+nAaDRSXV0dKRQKv863Wq109epVGhkZWfe1VyKXy6mxsZGuXbvmVtpjJSaTiWpqakJW9PzRRx9V8ni8e2kLjFvHtmVsJgBARD39/f2KUMQZ8Hg8FBYWesxWRmSrKtfY2Iht27bhzJkzITGY5eTkuBXvWguTyYTOzk6UlpZykqw6VKHca5GTkxNweL0nBAIBjh07hqtXr/plOHb8xo5AOC5JTEzEqVOnkJSUhObmZoyPj3tM9DQ+Po68vLyQLCTU6XR45513dFar9Q+cN74OtpQwAQCNRvPvL7zwQkhCEjMzM6FWq93ykCoUCjQ1NUGpVOLUqVMoKCgIaQh8YWEh+Hw+ent7vQoUq9WKrq4u7N27lxP3ZKjC530RSHi9L7Zv345Dhw6hs7NzzeCykZERLC0t4fDhwyFLEM0YQ05ODs6cOQOj0YjGxka3VApGoxGzs7MhS2/w6quvWiwWy8vkIenYZrJlDLAOGGPbs7OzJyYmJlJDIdVlMhmmp6dRVFSEwcFBGAwGFBcXr2teHShEhOvXr4PP56OoqGjVTd/b24vIyEjs27ePk+uJxWLI5fKgatc4CCTOxJWxsTEwxrBrFzd1tKenpyGRSHDs2LFV39vY2BgWFxcDyunCBcvLyxgYGIDFYkFxcTGmpqYQFxcXcGkPfyAiFBUVLQwNDR0mouBq7IaILaeZENGS2Wx+/Y033vA/FXsAJCUlQaFQoKWlBVlZWTh58uSGChLgw9Bxk8mEvr4+Nw1lcnISRqMx6Do5ntiMKY6DnJwcn2t1AsFRQ3poaMi5j4gwMjKChYWFDRckgC3q+NixY9izZw86OzsxMzODjIyMkFyrtbUVKpWqa6sJEmALChMAkEgkT3//+9/nNBCHiDA3N4fGxkZkZGRAIBAgPT19w2qlrIQxhsOHDyMiIgJdXV2wWCyQyWQQiURrVt4LFEf4/EYLTAdRUVEQCATQaDSctVlUVAS1Wo2ZmRkQEfr6+qDValFeXh6wIKmurkZxcTHS09MRFRWFxMRExMTE4NKlSwH3Kzk5GdHR0cjJyUFzczOmpqY4D83/7ne/uygWi7/NaaNcsdkWYG9bZmZmXUdHh9/W7bVQKpXU1NREV69edXpz+vv7aWxsjJP218vY2BjV19dTdXX1mt6mYBgfH+fEqxGMN8fBzMwMDQwMrLsPrphMJqqrq6OmpiYaGBjw20N28eJFioyMJIFAQAkJCcQYI9hqwqza+Hy+87zo6GifBeLn5uacHjOj0Uh9fX1UX18fVD5bT0xPT1NGRsYgbYHx6WnbkpoJAIjF4m99+9vfXpd2YjAYcO3aNfT19aG4uBilpaXOAtuOhXgbmcXeGzk5OTAYDCAirzlkg2V2dnZDC0x5IjMz0+/s9f7i+J60Wi127ty5piZ36dIlREVFITIyEl/72tdgNBphMpmgVCqdfeLz+YiMjERCQoKzLbPZ7DxPp9Phq1/9KqKiopCfn4/q6mq3a5hMJgwNDTlLcwgEAhQXF+Po0aMYGRlBZ2fnuhd9Xrx4UaNQKL63rkZCyWZLs7W2jIyMrqtXrwYswS0WC42OjlJNTQ2JRCKvT635+Xlqb28PuH0usVgs1NzcTGKxmFQqFdXW1pJIJOKkba1WSy0tLZy0tR7NhIiou7ubsye0RCKhmpoaWlxcpMXFRaqrq/MYz1FVVUV5eXketQ6HxhEZGUk7d+6kqqqqVe9z1UxWajCMMbf3Xb9+nSYnJ732eX5+nmpra2lwcJBMJlPAn3lmZobS09MnAETQFhibnrZN78CanQOOnTp1KqA7UCKRUG1tLQ0NDfn1o3V0dJBYLA7kEpzhKbjKaDSSUCika9euBXXTuTI4OEjT09Pr7SYRrV+YyGQyCubB4IrFYqHBwUFqampymw6uDAZ0CIOVAkAgEKwSHP7iaDMyMtKt3cjISNq3bx/94Ac/8DnV8vch54mHHnpIERkZ+THaAuPS27bpHfC1ZWRkVPlzI2s0GmptbaWOjo6AIkb1ej3V1NRwbqvwh9HRUeru7l51U1mtVhofH6fa2lpaXFwMqm2r1Uq1tbXrFkgO1itMrFYr1dTUkNlsDur9KpWK6uvraXh42GM9nMHBQert7aWqqiqKjo5epUX4sncEwsWLF1cJqm3btvktpPR6PfX09FBjY6NfUb2Dg4OUnp7eB3sox1bdNr0DPjsIFJaUlMi8SXGj0Ui9vb3rMnRJJBJqaWkJqihWsMzPz1NTU9OahaK0Wi01NTVRX19fwEJhcXGRurq61ttNJ+sVJkQ2o3egUziLxULDw8NUX19PSqXS63lWq5W++MUvrhrkwWoivqiqqqKioiISCATOa0VHRwd0LYdjoLu7e82H2Uc+8pFFAKdpC4zHtbZN74A/W0ZGxpXXX3/dbdRZrVaanJykmpoampycXLcg6OvrC8laDk84bCNrre1wYLVaaWxsjGpqamhmZsbvz9nT00MSiWS9XXXChTBRq9XU1tbm9/kOO8PQ0JDP6nwXL150EyKBDuxgmJmZoR/96EdumlCg17VarTQ7O0u1tbV048aNVZpbW1sbZWRkNNMWGIe+tk3vgF+dBLJ27dolczydZTIZ1dfXU19fH2cLqSwWC9XX15NcLuekPW/o9Xqqra0ltVod8PscqrGvPprNZqqpqeFU0+JCmBAR1dfXk16vX/MctVpNra2t1NnZ6deU9bHHHnMTJOnp6fT2229z0l9vaLVaqq2tJaPRuGpqxePxAp5Wmc1mGh4eptraWhKLxWS1WslqtVJZWdkCgIO0Bcahr23TO+DvlpaW9vwPf/hDY3t7O7W1tZFGownox/IHjUbjvEFCgdlspsbGxnVpDCqVilpbW6m1tdWrPWV2dpbzerZcCZPR0VGv8T0qlYo6OjqoqanJb1vRSo3k4sWLpFAoNuR3dO2jY9rjOs0Kxk6zvLxMXV1d1NLSQr/5zW+sGRkZb9MWGH/+bJveAb87CiTk5uaq13K/ccHs7Cy1tLT4XfzbX9Yq1h0MCoWChEIhtbS0kFQqddNChEIhqVQqTq7jgCthotfrqaGhwfm/1WqlxcVFEgqF1NzcTDKZ/xkoqqqq3AbvY4895jwWyt+xq6uLRkdHPR53FW7R0dFBX0cmk1FhYeESgHzaAuPPn23LBq2thIiUS0tLz/7qV78KaZRZVlYWkpKSnMmRuGJkZAQCgQAFBQWctJeQkIDjx4+juLgYs7OzqK+vx+joKLRaLfR6/aaFz/vCEV6vUCgwMTGBxsZGjI+PY8+ePaisrERKSopf7VRXV+NP/uRPHA8a5OXl4YUXXnAez8rKQnJysqMUBGeMjo4iIiLC68LFJ554wlmSVq/XBxWWDwB/+MMfzCqV6lUimgy2rxvOZkuzQDYA0WlpaVNcPd29wbUWEaqnpCtGo5HGx8fp/fffdxpruVTzudBMzGYzzc3NUUNDA/3+97+nGzdu+LSfeGPnzp0+jZ4OLYKrZRNzc3PU3Nzs83esqqoiHo/ntJ8EagheWFigzMzMeQAptAXGnb9bqAd/LoBaAIMA+gH8w4rjX7HfECn2/xmA5wGMArgO4KiHNivLy8sXQzkwibixbxBRyOfvK2loaCCpVEqDg4NUV1dHra2tNDExQWq1el0G2WCFydLSEk1NTVF7ezvV1tZSX18fLSwsUHV1ddD9qaqqcoshWWuwcvU7KpVKvz1wRO6xKIF6eO6//355TEzMn9Lqe/8yACmAPpd9lwAM2cfLbwEkuBz7un0sDQP46Mr2uN5CLUwyHQIBQByAGwCK6ENB8z6AKRdhcgHA7+1C5SQAoad209LSfvKDH/wg5FFmOp2Oamtr14xvWIvl5WWqqakhrVbLcc88o9FoVoXPazQaGhsbI6FQSDU1NdTR0UGjo6MklUoD0gr8ESZGo5EWFhZofHycurq6qKamhlpbW2lkZISUSqWb8Oju7g7IPuKKq1aSl5fn8/xgPWgOlpaWqKamJmCjf1FRkbOfRUVFfr3njTfeMKWnp/+ePI+nswCOrhAmdwPg218/A+AZ++siANcARAEoADCGEIfib2hyJMbY7wD8kIg+YIz9BsB3AfwOwDEiWmCM/QRAHRFdsZ8/DOAOWpE0lzEWnZ6ePtjS0rKTq6Q73tBqtejo6EBZWVlAdgiz2YzW1lYcOHDAbzvAehkaGkJsbKzXhX1EBI1GA4VCAbVaDbVaDaPRiMjISGzbts1ti4iIcG48Hg+dnZ04fPgwLBYLrFYr9Hq9c9PpdDAajRAIBNixYwd27NiBhIQExMfHe12At7CwgJmZGRw5ciTgzxkVFQWj0QjGGD744AOcP3/e53vUajW6u7sDLuyl0+kgFApx+PDhgLPeVVdX48KFCzAajcjLy8PU1NSa5y8uLuLgwYMSsVhcQkQea6MwxvIBvENEJR6OfRzAp4joM4yxrwMAEf2b/dj7AL5DRK0BfYgA2LDs9PYv4QgAIWPsfgCzRHRtxc2WDcA1aajIvs9NmBCRjjH20IMPPviOUChMCmUynNjYWBw7dgydnZ0oLy9HbGysz/cQEa5evYq8vLwNEyREhPn5ebfs8ythjDkHuysmk8mZkV6n02FpackpNBx/TSYTpFIpeDweIiIiEBUVheTkZLdM9YHkYHEYRwPNXn/p0iXniuHc3Fy/BAlgSyF54MABdHZ2oqKiwq+8J3q9HkKhEAcPHgwqfeb58+exZ88eDAwMYGZmBpcuXcITTzzh9fy/+qu/UqpUqi94EyR+8NcAXrW/zgbQ5nLMMZZCRyjVHhdVLBZAF4BPAIgBIAQQbz82iQ+nOe/CJWwYQDWAMm/tpqWl/de///u/b8iiGqVSSTU1NbS0tOTz3IGBAc7jPHzBdfj8SrhyDbsSTHh9VFSUX7YSb3hbD7USvV7PSZUCV/f1Wq7iX//616b09PT3yPdYyofLNMdl/zdhs5k4Zhs/AvBZl+M/BfBJX+2vZwu5a5gxJgDwOoCXiegNALthm8NdY4xNAsgB0M0Yy4BNerrmF8wB4DU9nVQq/fK//du/ScbGxkLVfSfx8fEoLS1Fe3v7mnkpRCIR1Gq1X/V5uGQzUzMGS25ubsDZ6x2V9SIiIvzWSlzZtWsXeDwe1rpnjEYjhEIh9u/fv+4k3OfPn3e2ERcX5/GchYUFPP7444sSieQvgrkGY+xhAPcB+AyR024R0FjigpAKE2bTe38KYJCIngMAIuolojQiyieifNg+9FEimgfwFoC/ZDZOAlDRGkWGiEgnlUof/LM/+zO5p3IDXJOYmIjDhw9DKBR6rF0sl8sxPj6OsrKyDU0HabFYIJfLN2xKxRVxcXEwGo1+Z6+/dOmSMzN9IAW5XGGM4eDBg5BKpRCLV99ay8vLaG1txb59+5Cenh7UNVbiSMjl+LuSRx55RKlSqf6eiBYDbZsxdg+ArwG4n4hcn3JvAfhzxlgUY6wAwF4A7YG2HxChVHsAnIbNmn0dQI99u7DinEm4u4Z/BJvluRc2w6zP66Slpf3fixcvblgOAbVaTbW1tW6rlB0Wf3+mQVwTivD5lYRimkNkS1npbxzIeqc4rhgMhlWeOpVK5Uy6xBVVcjlFvvwy4Ve/IvzsZ3RxRb9feeUVU3p6+rvk33i6Apv90ATbQ/hR2Fy/My7j679czv+mfSwNA/hjf66xnm3LlboIBsZYVFpaWtcrr7xy4M4779yQqF6dTof29nYUFhYiJSUFLS0tOHjwYEBFzblCKBTiwIEDIY16DbbUhS8MBgOEQiHOnj3r81yBQACz2Qw+nw+TybTuazs8dRUVFdBqtejr60NZWZnX6YgvqhUKPD4yAq3FAr3VCqVdizK6jLG4qSmoH34YgK2kyR/90R9NS6XSUiJSrPsDbTJbptbweiAiA2PsI5/+9Ke7mpubM0PtLgZs9YMrKyvR3t6OoaEh7N27d1MEiWOasFXD533hyM2q0Wh8DuLY2FgolUq/PGr+EBsbi5KSEjQ3N4PP5+PEiRMBV090CJAFkwkykwmeHs3RPB7iLBZopFJ8y+62X1hYwH333bcglUo/eisIEuAWESYAQERixtj999xzzx+6urqSg326BIIjrkImk2FhYQGZmZkhKVK9FrOzs8jODq3HL9Q4DLG+jNYOw/d6EzM7ICLIZDIwxhAdHe3VpuGJaoUCjw4NYdpgcBMgDEBuVJRTM8mIjMTl/ftx3sW1bDKZcOHCBYVMJnuEiIZWNX6TctMs9PMHIuqUSCT/+IlPfEK5EQbZqakp6PV63HHHHYiPj0dLSwtnN7q/iESim16YZGRkQCKRwNeUOyYmxu3vejAYDGhtbQWPx8Odd96J6Oho3Lhxw+f7Lk1PI6ahAReuX8eUXZAwAGkCAaJ5PDyzaxemKiogOXUKhnPnMFVR4SZIAOD//J//ox4fH//35eXld9f9QbYQt5QwAQCVSvXS9evXf/Hkk09qQ3mdhYUFTE9P48iRI+DxeCgoKEBxcTGEQqFb3dlQotVqwefzA3qibkUiIiKQkJCAxcW1nRlcaSYKhQKtra3YvXs39u/fD8YYSkpKoFAovFYfdAiRr46PQ2e1wkiEKMacAkRy6hSWz57FEz5Kgv7whz/Uv/vuu3WLi4tbt2RFkNxywgQApFLpl37+8593X7lyZf1WOg8sLS2ht7cXx44dA5//4UwxKSkJlZWVGB0dxdDQEEKtHYlEopsutsQb/sScrFczISKMj4+jt7cX5eXlbq5fxhjKysowOjoKheJDE0a1QoHi9nZ8zS5EAJsmkhcVhXcPHfJLgDioq6uz/su//Mu4VCp9kG4Fz8cKbklhQkRWqVT6J1/60pdE3d3dnLZtMpnQ0dGBI0eOeDTWRUVF4eTJk+DxeGhubvYYj8IFRLbw+VDVtN1okpOToVQqnUFpnliPZuKIH1leXsapU6ewffv2VecIBAIcO3YMPT090Ol0qFYo8Ce9vRhYXnZOZ/KiovDB4cMepy9rMTExgU9/+tMSmUz2ESLSB/wBbgJuGQPsSohIzRi7+4EHHmjp6OhI5WLQWa1WdHZ2orCwEAkJCV7P4/F4KCwsREZGBnp6epCZmYndu3dzWlBbLpdjx44dbprRzQxjDBkZGZifn/dqA4qJiYHRaAxIMyEiTE9PY2JiAgcPHkRycvKa52/fvh2HDh3CPwqF+AngNK5G83h4++DBgASIA41Gg3vuuWdRLBY/QFuw4DhX3JKaiQMiGpVIJA+eO3dO7ms+7g99fX1ITk72O/pyx44dOH36NCwWC5qbmzkt3n0rTXEc5OTkrDnVCVQz0el0aGtrg0qlwunTp30KEgeXl5bwX+BGkCwvL+P8+fOK+fn5fyCijoAbuIm4pYUJABiNxtqZmZm/PHv2rFypVAbdzsTEBEwmE/bu3RvQ+3g8Hvbv34+DBw/i6tWr6O/vX3fA1c0aPu+LuLg4mEwmr+H1Dm3QarWuqvXrisViwfDwMIRCIfbs2YNDhw75rcFdmp7GV8fHnf9nrkOQ6PV63H333YrR0dGvqVSqlwNu4CbjlhcmALC8vPzu9PT03547d04ejHYglUoxOzuL0tLSoNfcJCQk4MyZM4iNjUVTUxOmpqZ8ukK9IZFIkJaWtqHrfzaK7OxsiEQij8ccwtNsNuPxxx9fdZyIMDc3h8bGRvD5fJw9ezaghXorBckzBQV4c9s27A3injEajbhw4YJyYGDgO3K5/MWAG7gJuS2ECQBoNJrXJycnH7/zzjsVWq3/XmONRoOBgQGUl5evOyCNMYadO3fi9OnT0Gq1aGxsxMJC4KkrbsYVwv6SnZ3t1T37/PPPOzWMld+bSqVCS0sLpFIpKioqArZRVSsUeNJFkFzctQtf3bkTR48exeTkpE+3tSsmkwkPPPCAsre39xm5XP6832+8yblthAkAqFSql0dHR7907tw5uT9eFqPRiK6uLhw9ejSg7Fy+EAgEKC4uxtGjRzE+Po6Wlha/hcrNHj7vi6ioKERFRXm0L50/fx4CgQAAIJPJUF1dDaVSifb2dvT396O4uBilpaUB/1YOr40VNo/NxV27nO5ePp+P8vJyXL9+HUtLSz7bMhgMuHDhgrKzs/NZmUz2dEAdudkJ9UrCrbjFxcU9WFJSsrhWZTyLxUJNTU00Pz/v9RyucC0+JZFI1kzcMz4+7rVmSygJ1aphT4hEIurv7/d4zDVRc0ZGxprFyPyhSi6n6Pp6Qm0tobaWioRCj+fJ5XKqq6tbMzH48vIynTlzRp6cnPxPtAXu843ebivNxIFarX51YmLi0crKSrknjYCIcO3aNWRkZHCW02ItduzYgWPHjuHQoUMQiURoamrC3Nycx6C3WyF83hfewuuJCA8//LBzqrO4uIiTJ0+ua4Hl4yMjzmC0aB4Pz3sxsCcmJmLPnj3o6uryaOtaWlrCXXfdpejr6/vWwsLC/x90h25ibkthAgBarfbNiYmJz1ZUVCxOTk66HRsbGwNjzGuhpVARFxeHo0eP4ujRo5DL5aivr8fg4KDTFarVaiEQCG768HlfREREIDEx0WmnMBgMGBkZQV1dHcRisVPAm0ymoItcATaD66D9u/XH/ZudnY3ExET09fW57ZfJZDhz5ox8YGDgK3K5/EdBd+gm55bIZ7IeGGPHMzMz37xy5UrGuXPn2Pz8PMbHx51RrJuJxWLB3NwcpqennZniMzIyNsX4Gqp8Jt6QyWQYHR2FQCDA8vIy8vLykJ2dDYFAgOrqatx9991Oze3ixYtrJmr2RLVCgbuvXYMVtifq/x4+7Jf7l4jQ1dWFlJQU5Ofn4/r167jvvvtkUqn0Eb1e/14QH/WW4bYXJgDAGMtOTU394Mknn9x19OjRqMrKSkRGRm52t9xweCuioqKQkJCArKwspKambljKg40QJlarFQsLCxCLxVhcXIRer8fx48eRnJy8yg1+6dIlfPWrXwVgyy0TaIh9cXs7BpaXwQA842Jw9QeLxYKWlhaMjo6an3zyyVl7TpLhgDpwC3LbTnNcIaJZmUxW9txzz9X/z//8j2Yrxm+YzWZkZGTgzjvvRH5+PhYXF9HQ0IDOzk7Mzs46yz/cbJhMJszPz+Pq1auor6/H/Pw8srKycMcdd6CgoAB6vd5jPM0TTzyBPLsA0Ol0AU13qhUKjOpsJatzo6ICEiSAzcX/7rvvLj311FN99ixpt70gAcKaiRuMMZacnPyt3bt3/8N7772X5G/49UbQ09OD7OxstyAsIoJKpcL8/DwWFhZgNpuRlJSElJQUJCcnc+rO5kozMZlMWFxcdG6AbZFfRkYGkpKS3ASHI5XiyZMnPbYV7HTHoZUAQFFMDPqPH/e7/0tLS/jUpz6l7Orqek0mk32eiLyvTLzNuDVWiXEE2STrv8TExHSXlZVdfuedd1JLSlYVTttwLBYLFAoFDh8+7LafMYaEhARnmLnZbIZCocDCwgLGx8dhNpsRGxvrLLy1Y8cOREdHb0jkLBFBr9dDo9E4qwdqNBrweDynwCssLHTGjXgiNjYWJpMJer3eo9H5/PnzePrpp53THcdfXwJFa1+ZHMmYV++NJ6ampvDRj35UPj8//6RSqbwtoloDIayZeIExdiAtLe0PP/nJT7I+9rGPbarQnZubg1KpDLgWj9VqhVardRvMy8vLiIiIcKYpdFTk81YW1CF46urqcO7cOWeVP8dmMBiclQBdy4WazWZs27bNTZDFxsYGbOMZHx8HEWFyiva1AAAMOklEQVT37t1ez3G1nzDGcODAATz//PMe6+pcmp7G18bHQQhMK2lsbKQHH3xQIhaLP05Ebb7fcfsRFiZrwBhLTEtLe++Tn/xk0bPPPruDi3SBwcB19nmz2byqVrBer4fBYIDZbHYrDerAkfDZUR7UsUVFRa0SSNHR0ZylRvA3e/2lS5fw5JNPOqc80dHRePvtt1cJlJiGBuisVjAAH/jhwTGbzfje9763/OMf/3hKKpXeTUSeFw6FuT0jYAPZAPASExO/XFBQIGtubqaNRq/XU319/YZfdyUbGQG7kra2NlKpVD7Pq6qqoujoaIItewDxeDy6ePHih8flcoqqqyPU1tLOlhaf7fX29tKBAwcWUlJS/hWAgLbA/biVt03vwM2yAShIS0vr/vznP69eXl6mjWJsbGxTwudXspnCZHZ21mt4/UqqqqqoqKjIGXLPGKPo6Gi6ePEi5bW0EGprKbKujqrWWEphMpnoO9/5zlJaWtoNAIdoC9x/N8O26R3g7IPY6qrWAhgE0A/gH+z7LwEYgq2q4G8BJLi85+uwVUQbBvBRP67BS0hI+MeCggJZix9PNi5oaGggvV6/Iddai80UJmazmWpqanwWG3fl4sWLxOPxnFoKY4ywcyfh2Wcpsq7O6/v6+vqoqKhoISUl5Rl/tBEAlwFI4bmY+Ffs13etWPm8/Z67DltZ3E0fO1xtm94Bzj4IkOn4cQDEAbgBoAjA3QD49v3PAHjG/roIwDUAUbAVUh8DEOHntXalpaVd/cIXvhBSLUWj0VBra2vI2g+EzRQmRERXr14lqVQa0Huqqqpo586dTi0FAKG42OMUx2Qy0T//8z9r09LSRgAcJv/vu7MAjq4UJvaH2/sAplyEyQUAv7cLlZMAhP5e52bYNr0DIftgwO8AfGTFvo8DeNn++usAvu5y7H0AFQG0z0tMTPzKrl27ZKEa8AMDAzQzMxOStgNls4XJwsICdXV1BfVex9Qnb98+Kvrxj1dNcfr7+6m4uHghJSXlYjC2EQD5HoTJbwAchnst7Z8AeMjlnGEAmYFeb6tut2ScCWMsH8ARAMIVh/4awKv219kAXF18Ivs+vyAiK4BnGWO//djHPvbqqVOndj333HOJO3fuDLrfK9rH/Pw8CgsLOWnvZicpKQnXr1931hoOhPPnz6O/v3/VfqlUiqeeekr1u9/9bl4qlf45EfVw0VfG2P0AZono2oqYnmzYiow7cNxzYi6uu9nccuH0jLFYAK8D+BIRqV32fxOAGYAjF6enyK2A/eRENCaRSMrfeuutzx4/fnzsc5/7nDqY7GkrkcvlSEhI2PByo1sV1+z160Wj0eAb3/jG0sGDB0W//OUv/14qlRZxKEhiAHwTwP/n6bCHfbdMbMYtJUwYYwLYBMnLRPSGy/6HAdwH4DNk1y9heyq4Lr/NARBUGQIiIpPJ9J5UKi38xS9+8YWSkpLZb33rW0uBpIdcya2cmjFYcnNzveaH9QeDwYDnnntOv2/fvvkf/ehH35RKpbuWl5dftmuZXLEbNhvcNcbYJGz3VTdjLAMc3nNbks2eZ3G1wSb1XwLwgxX77wEwACB1xf5iuBtgx+GnAdaPvkTGx8f/Y2Zm5vwPfvADncFgoEAIxnsRajbbZuKgoaGBdDpdQO8xm830s5/9zJiTkyNNTk7+PoDtxO29lw8P3hz7sUl8aDO5F+4G2HYu+7HZ26Z3gMMf9DRsKuN1AD327QJsbrgZl33/5fKeb8LmxRkG8Mch6FNccnLy03l5edJf/OIXJovFQv6wVtrCzWKrCJNA4m6sViu9/fbblj179sjS0tJeAJBM3P/GV2CzeZhg0zweXXHcVZgwAD+y33O9AI5x3Z/N3Da9A7fDBiA1PT39cn5+vuw///M/DVqtltaira2N1Gr1mudsNFtFmPgTEazX6+lnP/uZaf/+/dKMjIw3AOTRFrgPbvXtlrKZbFWISDY/P//Xk5OT+7797W//2+7du8Vf/OIX1VNTU6vONRgMMBgMiIuL24Sebn0c2es9VReQSCT45je/uVRQUCD9yle+8p9DQ0OlYrH4E0Q0vQldvf3YbGl2O24A+AKB4MGMjIy+O+64Q/bWW29ZzWYzEW2d8PmVbBXNhMgWXt/X10dEtqlMTU0N3XvvvQsZGRmjMTExjwHYRlvgd77dtlsyzmSrQ0Rm2OJdXmWMlQwNDX0lIiLijz/72c/GlJWVxd5///2b3cUtTXp6OlpbW/Hmm2/qXnzxRa3RaGwUi8XPAOggolvG1XqzEU5BsEVgjEVHRkb+aVpa2lNJSUnxDz300I5PfOIT27ZK0NpGJ5T2xPT0NN58803jyy+/rJydndUplcqLS0tLvySXeKIwm0dYmGxBGGPpUVFR96ekpDzC5/P33nfffZEPPvhgfEVFBWd5QgJlM4SJ1WpFV1cXfvOb32jfeOMN3fLy8oxarX5Jq9X+lsJ2kC1HWJhscRhj0QDuysrKesRqtZ45ceJExGc+85nke+65h22kkXajhIlOp0N1dTWuXLkir62tNUdERHTOzc1dtlqt/0tEgVcQD7NhhIXJTQRjjAfgaGpq6kMREREfT01N3V5ZWRl5+vTp+GPHjrHCwsKQ1foJhTAhIkxMTKCrqwvNzc3qxsZG/dzcnIGI3pNIJL8E0ErhhM03DWFhchPDGEsCcDQhIeFUbGzsHWazuTAlJYVfWVkpOH36dIJDwHCxvme9woSIMDY2hu7ubjQ1NamampoM8/PzloiIiAmdTle/uLjYCKCLiKTr7myYTSEsTG4xGGOJAI7Gx8dXxsXF3Wk2mwsTExMj8/PzaefOnYL8/PyYnJycqKysLGRmZiIzMxM7duzwmbHelzDRarUQi8WYm5uDWCyGSCQyTk1NLU9OTpqmpqZIJpNZ+Hz+2PLycr1cLm8C0B0WHLcWYWFyG8AYi4NtqXsmgMy4uLj8uLi43REREXkWiyXLarXGCwQCflxcHEtJSSGBQMAEAgEcfyMiIphGo4kVCAQak8lEJpMJZrOZ5HI5UyqVMJvNJgAaPp8/b7Vap5eWlsaUSuUEbGHmYtiW4ys38SsIswGEhUkYJ4yx7QCSYauntHKzwJbCwWT/awGgAKAJx3aEAcLCJEyYMBwRXpsTQhhjuYyxWsbYIGOsnzH2D/b9SYyxDxhjI/a/ifb9jDH2PGNslDF2nTF2dHM/wdaCMXaZMSZljPWt2P9Fxtiw/Tu+6LL/6/bvcpgx9tGN7/HtRViYhBYzgH8iogOw5a/4e8ZYEYAnAVQT0V4A1fb/AeCPAey1b38L4Mcb3+Utzc9gy0/jhDF2J4AHYCtJUQzgWfv+IgB/DlvemnsA/F/GWDhtXQgJC5MQQkRiIuq2v9bAVoYjG7ab/+f2034O4GP21w8AeIlstAFIYIxlbnC3tyxE1ABAvmL33wF4mogM9nMcHqIHALxCRAYimoAtr43/FcrDBExYmGwQK5JcpxORGLAJHABp9tO8JRwO451CAGcYY0LGWD1jrNy+P/xdbjDhVcMbwMok12vEdNzSCYdDBB9AImzTyHIArzHGdiH8XW44Yc0kxHhJci1xTF/sfx2q+a2dcDg0iAC8YZ8atgOwAkhB+LvccMLCJIQwmwryUwCDRPScy6G3ADxsf/0wbAXDHPv/0u7VOQlA5ZgOhfHKmwDuAgDGWCGASAALsH2Xf84Yi2KMFcBm1G7ftF7eBoSnOaHlFIC/ANDLGHPUZfkGgKdhU8cfBTAN4E/tx97Dh0mwlwH81cZ2d2vDGLsC4A4AKYwxEYBvw1br97LdXWwE8LA9iK6fMfYabJUJzAD+PrxoMLSEg9bCgDF2Gba6QlIiKrHvKwXwXwC2wTYYP09E7XZt6z9gE3rLAB5xeKzC3N6EpzlhAA/xGwAuAvhnIiqFrTqdIxgsHAsTxiNhYRLGW/wGAdhhfx2PD42X4ViYMB4J20zCeONLAN5njD0L20On0r7/li6+HSZ4wppJGG/8HYAvE1EugC/D5pUCwvEbYbwQFiZhvPEwAEdczK/xYSh6OH4jjEfCwiSMN+YAnLO/vgvAiP11OBYmjEfCNpMw3uI3HgPwH4wxPgA9bJ4bIBwLE8YL4TiTMGHCcEJ4mhMmTBhOCAuTMGHCcEJYmIQJE4YTwsIkTJgwnBAWJmHChOGEsDAJEyYMJ4SFSZgwYTjh/wHq0bpfAiRlJAAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "poles=[[270.,60.],[45,45],[135,89],[140,10]]\n", "gamma=15.\n", "fig = plt.subplot(111, polar=True) # Specify polar axes\n", "fig.set_theta_direction(-1) # Reverse direction of degrees (CW)\n", "fig.set_theta_zero_location(\"N\") # Specify 0-degrees as North\n", "plt.polar([0],[90]) ## to scale grid\n", "for pole in poles:\n", " PTS=pts_on_a_plane(pole,gamma=gamma)\n", " for pt in PTS:\n", " if pt[1]<0:\n", " plt.polar(np.radians(pt[0]),nets.EqualAngle(-pt[1]),'c.',markersize=3)\n", " else:\n", " plt.polar(np.radians(pt[0]),nets.EqualAngle(pt[1]),'k.',markersize=3)\n", "lines,labels=plt.thetagrids(range(0,360,20),[str(x) for x in range(0,360,20)])\n", "list1=[nets.EqualAngle(x) for x in range(10,90,20)] ##don't include center or edge\n", "list2=[str(x) for x in range(10,90,20)]\n", "rlines,rlables=plt.rgrids(list1,list2)\n", "plt.thetagrids(range(0,360,20),[str(x) for x in range(0,360,20)]);\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aha! The equal angle plot plots actual circles while the equal area plot plots ovals! But the circles in the equal angle plots are all different sizes while the areas of the ovals are the same size. This just demonstrates the pros and cons of each type of plot. \n", "\n", "Now let's look at some of our map projections and how they perform with respect to distortions. And yes, once you have the points on the circles, you can plot them on a map, too. \n", "\n", "Here's the mercator projection with a 15$^{\\circ}$ circles drawn around San Diego and a around some point in Siberia. Look at the lecture on maps if you have forgotten how to do this:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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2PBA9tYqAMAFIXrga68tERYSyeVBl7j7xZ9DY4TjnMyJSE/YZriITcQM2AuE6lDUEugMun7VH/ykiouDEPRjc1IjCLcdibJmbkT0G0NAFKhWCsw+he99OlOw8E1HPkAqOlXjmVpXhm7xY0zdO0/YNhCtPoXEpdHYY/pxEqi2RBTUIYBD1lppPOsRu/H8pTt0HY0MVZR0kQGZCl7aMmzuDPLUUzV+KCmfuuCl0qipjZww1qit+QZ8ysqnMkbshHFo2gZE/9aXrjFV0blkqRQEDUHXIGv6qXZTn76CQXcp9lSQYsE5g6I89KdEp7Rv8LYdMxWPSaDb+G8nCzlC1SOIyY5pJ1Jz+gGYzpBQt474FssAQTx/vbu7h+PkXPF6QcrkoLViZ6YGk4Y++tSmeK5yfXFPW3gzUMn5er7hw25ehjWDl/CX4fJQJich4v2/rDwKgTOSKjDcGCQVLIJB4yTl5FgBmZAscHRC6gCjAzCkjKFqjOXI+ZTN67JhztF2ylZ614EOIjJld/tgwRIIo0nraX4xpUZPaM0SM9AVe+WqJUdJ9/8jYPkBmUe1pNzSiCT7mDfALycMToTVlyKTxqQNRGpj6t0hhBytK5fRjXmc4eFOm39iJfNdqL3XG78P39gGitDLfV1PM+tsugY5VBTYOkBNENFCJcHCUxA+r33Fq9w5+P3IyNiSN4P0CADl3YumkNsyBvbUe74MjUxUy70Pgta9M8Q46bAQngcowB2pRwCm3gNcHGetPxsCHEBi0XmRY/4bfvICBb9S6LNT7AbOGDeXXHmCVvAEMEVGKCXCZskXZPLQ2lvohrOwtJWlGGZ/u1SX+PXsTvyDFbv7eHJm7s+H76hnv+yu9RrzSS2GtTlfcgLEogsIT8EcRMHqAtQ5/etHl/aPrL4hu779j1JKpDG0skN9GRbGydRBDQmKPl+w6nzm7T3D5tRnGJibkLZfw3hrmLMiS0w9p1msw9boMpqlrbSaMbqOY5maRlWoBGT0pmHwf9vJar2HmjE8diNRA/7UqykwQsLA0x9IiBzlzKF/KtRciXWvA8g3XOL+gAzlLNadJrcJ0/1PNnxcsad8wP17BOagzU8TrQ1ybGq0SZmdDf4nHrz4S8dEnVuiLH30RP/om2x97OzMe6qDABYWBsYGQbgFg7dKEgXNX8OytzPknihM2QHgkzD8kUHQ0FHcpTKVBqUeU+Bb45jSZcP8XLOnnSu/a0LFq8uWiNNBlhYi5lTXmOe24e+MepyekLmAAKhaCe7NlZuyDJqUUQeNgkzn9Lx2RCTNENxShEKO16JF2jSQpDShG2NimoZ3/E+Z0lNnwr5ZwE2P0TRNuABrnLs6grQ+RJYnviucF4IcOJaneawZmjhVRGZpRpOV4AHK/vsXxZSMwN4KQCMikYZVpZMr41JHZB0SeBZgyeOZkUKkZ3G049/KCIAqsPweBIWBpAotXn6dk65u0XvAvrePVl7QaDk1qTOvFj7g6XcbrA+QZAr/1hEENoWlpkUcnN1HVuZ5SPpdDiv2p3Lg5a7ZvoluNlPdldl2FauXsM3Tt+mY2dG5WhGXHXzBxh4bqzipuv5Ao6WTF7HWLsCzRMEPtZyW+qY3/Vyd/Y9GUWXSoKrCgc/IDIUoDnX4TCdCY0mvBToa3bMTFqVBUx3EhoUZAQ5baPYM4wfCOhAJmNBkTCJ+r3f8YnX9TYVWwLPUnJW3WK0sSq3qW4thVxeGipIM+046+BODt1R38PHQkoZEybSsoAS1rOn+hjmcACTUicQHCggwK8ij3cGyCLlLAfwdCCnubKfHaD7r+LtCwQ3dKfD+byEAfPM5vYdEvi7A2U9Nj2DC83e/y/p0XLjWb4dh0ZJLteF/czLThY1nTV3GYrj8L/rkPXWqImBtJRFmWpsn0Izr1SRsZyi8tizGuWVSyqxYn7kGXFTBzzRqsSzZN17V/SqiXGy/PbydnwTLYVmiXobay4sb/NyNkLi3rxrZt/7C2n0zDkslUjGb+ITh034zBG67ituNn7p7YwZ4Runvj/11eOXebG/ZZR9AcBLYRZ6+gR+ZrHElpSP8xrSYkHBYeAbVKZEJL3Ty8H3rC1kvKhu+Oqyrmnn6TYvmoID/cdk6naNMBGOcuDsCWgRUpbe1J3WJQ3YlvIrRMhMqSQ2XuY//hIGVeT0AWVBwpeQMEpfP1HjTEIixxVOPU8AmAshOherk8tPjp9wSmyv53D2FkZs7Qdh0ICIHe7UpQd/BiIoN8CXvvxe0jmyjVoCO5KrXj1T+ryFenN363D7Fg3DjKFIBZ7SU6/Spw97WMkT5MmzGMwi0TR2ROjrdXdzB92Ajc5pBor0SjBav+MGPJL+St3SfN1/0lyIpC5ptYLvO/d4QNm09xcwbk1cG34OR9FU279EBlaIapdW4+hqZcXgbk6BlbqH6e2OMBxqWwDL2bsc5/go+qIgC5tNd0r+RGnIARAHs+z4PfBUV7ia/VeEb//w2HtAmPBMPowLebzsPcA1DOUWBCy5TrfQiBaX+LbL0g4dqgGM+fv6FTpyYQ9AFMk3dc0jPNSdney2L/9zizmuv3vFg7G8yTDgKcZYg/Pg20H7AOuoSXpSvvzGqhUSnepw6+myngvz1dAgag31qR1s3K0HDKwUSfWZdqTtD9gwSEQLnCBjQYs57JravwzEdLUXsVNZy0rJrhxiPPieS2BOvffmXU+hPMPXafC8v6UOuXi6hEZSa2Ys/fmDpWims8KHrzJoV7Z1epA7UqLmLVmdeMa5HwM7UKrHMIGNt+/kCX/yV0mk8JgmAhCMIuQRAeCYLwUBCEqoIgWAmCcEIQBPfoV8vosqIgCBsFQbgoCEKJ6GN1BEGQBUFoEa/Ng4Ig1NHl/B43T9ColEonAaPRwuUnWvJVU/JT2Fduy7VnyWsxMnDdYRlHSl3no6EzRpHe6Gk+gCzhaZGy2WN6uGI4kSuGE3WvcBCYQ5yA6YTywP9cmoVLdPujUTQZAB++OaMAvyAYt02gzASRHH2UwI3+QfDrSYHclmoauiSvxUgSDN8kkn8Y+AkOLDl4lhazTzF85xMq1O6KytM9TX25sHsVwxvLaRYwkqSEOvqSxIzPywVX8iLn9wQbFkaQItGozBBkDaVfTaDc67FYp9NR8+ozuP0K6o7dlmwZ0xKubDx5jHG77mBgkQdJBqc8asxN9ehVC+7OlviwEl4shsYlopjdpT6yLFH7p138fvE5E+ZOp0/7UhhY5kmwOa/ydNfp3lVp1Y1dV8UkDTPMTQQiPvik69q/Nl/rOa6r0r4UOCrLsjNQGngIjANOybJcBDgV/T9AI+AK0AaIn2zFA0jD0zUOIwtrAsN00wBDo82M5ejwEZFB/liaJF83wKgkb6zaEqHOyRnnAwQbFCTXx5MgiLzPkXqI8LRip7mGnUZHLeZTDWYc4JrpXUqaGK3GENASp9F8A0gSdPpVxD04D30m/0LHJgVZcgxqTBdwKmxPRKSWJqWSXiaO0kDPlSLXXxux8tQl2i0+j5FdnCODbGKBbJK2pDCFS5Vl/bm0rWCERoBFX2UjGxQBecrt81uk2WmuYS3dx8vSlVsFFhChZ4MsqFBpQyj4bh0F/dZnqP15h0Q6d26I2jAFs1DAJG9JVIaK5jT7yF2m7TiHrXUOvKKdNU0MlSXHWR0k8lpq+blladb/UAZENXnr/ECzX45iYJUvQZu63ru8tXoRFqVi/HbYex0eRGeCfx8Mz99K2FZom/YLzxp8led4qkJGEAQzoBawBkCW5UhZlgOAVsCG6GIbINbwQ4USqlWCBFsad4CPgiCk2WzC2NyODyG6/brMjKFbTZF9M7ojSxKyFEVgmMyR28rnoRFKIqGRm0UGrhMJ976HdfA1EES0oiHPbbpS3Gs++f22Ue7VqJRPlg6qRMykSoQODlwx+yMxl92JL78v4gKMJE6j8UTRrLI4cw8JhGgN6bzsX/LU6EXFFt348xRULO/EDTdvBjeCivGyJ599CG2WiNx5BU3ni7wNN2f4pstJ5v+Q8jkh5XPSuS9Bz69gYWnJAw8ZD3/dr6HTbwJB4bCgCwSHK97w/daqaLZA5L6H7u2klSoRM6kRNpGWNwvh7LUA24+nKfRuDVWe/0Apj6kZ2qMMi4SjtyXKdpudpnp6xpYYWBfANrcd7p8oEYIAu4dJbOin4eCFd8jaONUvKsiPj0/Px/6v671T6RszZuUuHgXYsfKiJbVnKM6zpx9A5eLmqPSz+JpnEnzN57gumkxBwBdYJwjCLUEQVguCYALYybLsHd1hb5QtYoBjQG1gP7Dok7ZmAKkH9wFUj67Gvje0yIVrl3HsM9kbu2YM8FLdiH0me2MdHAHCBEsaDvob164/8+LoYswLVWP6oum42y9kn8leai0uxJYbFogF6mFfqS9X8+zFxPOiUllQYfLxESf1fiX4rUyOiJex7R41Wss+k72ECXHrubf1B7HPZC8v1XF+BT6qiuwz2ctlg4TCfp/JXvaZ7E1w7LLBxGSvKWyTZewGvJRHZF/HvYmiN58xVK4pQIzLF/tIrxP7TPbySC8uSF+AWIh9Jns5Y7gwQX2drskF3o8tihRjyreN2GWz5K7pS6LRJpzdX3KHJYdlBi7dHusfka92X5aums2/l92Z2FIiv5XM9stQ5EeBJvMEuv4uYJGvGBUmg76pFT+su4XaJPm1WdWjqwnGJ4D45olyLCjOaUMIeIdFpMBLLxMK5VZTa4bA5P1W7DNJ+V5eeAwHbsiMHtQZ62Z7OfS+EyERMHPvJSo2aMfTonv54/1CSo4TGblZ5JFX5o9PtRxG4Hsj/L1NsPM+hF3gWQSS/82ldk2g5I3p17sLRl6vEXzjScrwEFSPriK+SLgeKz69pXynUYrgKFSuBmLRwYmuKcikIl6l9jJx4kRkbZw3sqHnc6w0+mg1cYInufukenQ11lkTwCxvaXqN+pN+kzczduoIms2Hgeug5/AFSv3wOF8pwddDqZ+OawLFSVT16CpCwLu4gkEflPpvniSor+vYS4Kv8hwH3Tb+1UA5YKgsy1cEQVhKnEqVCFmWNSjz7qQ+OycIAoIg1NS1gwDGtg74PHyV4NieaxBiBaalIFJlxlvTWtgF/RvvXJCzWC0A8tb5gfBrhwHQ1xO4/jCA8PBLFKuYk1KASaQHZV6NJe+H/YTKNmCUchTVz03OO3fQfxeo/KMHUT2+7swpsqQZD7p3p8TGDQgyX9wQQJYVi6R7b+CBp+Jsl9cKIjQweL3idDuymYrJrbWcfSRQuqgFOfKXj60vRQazZf50ulaXaVkOioyCCkVNqd/AGZUAPVetQt/MluLV5mNTok6mp8d1yG1M72H9CfH35qOfHxDngPcp9z2gzRKoW84KtUqRnne8DPh5Snf0zO0p03UWvLyPlV0uBs5YwN0jm6gz4zaLfwXjLxg9wMuiER65B6Gv+UCJl1N1qhMUDoYG6bc18np8i0KFKib7ubE+BL26gaVzPXxv7SOXkZI/5un+ORRtOyXd5y3kOpYFTlXRaiMwMcwFEalYEmVNvtpzPFUTZkEQcgGXZVl2iP6/ZnTnCgN1ZFn2FgQhN3BGluWiybRRBxgty7KrIAiNgB8BDbBAluUzSZRPYMIsSxJ9KuTl6SIlDMfp+9DxV+WHemGZMw+q/QNA2xv2+AXBkA0CAVoL+m2Ms355dnA+f8xbwq89ZEoXUFKkWpsqMae+JDGzxVYhrZMuEN+MOKv5qoxFWTID6MwX2R/yC4K6MwW8P8gUczDB0dEeTVQUvu/eExAUSechI/jg/Yy/1u2kVAEVV9y1gMDCY7fQN1MmZQfG1eO9xxP2DJeYtEvkcWAuuvx+PV39iZlFap0rpVIyedo529O4tMCxOzILvoebL6FWMYH+9WQuPlECL477ZSwH1/1B405dU43sqwkPZsvQmoQG+LJvpIRxBkL3pjY+vc3qc6lIwsCZFZ8PJN+Hfam2ffg2/LBaoFP7WlQbvglRpbvACfV+xDDXetyeBflzJl2m2XwVemY2dJp3gL/GuFIl9ztK5ZP5aYce0464o/9UWTPPyL3LSgQ9vwIqFWi1scFEkzNh/hrP8RhSvcuyLPsIgvBGEISisiw/BuoDD6L/eqDYPvUAUh9lSnvHBUFh0CLCAAAgAElEQVT4BcUQVycEUaRG6Zz0XPmeRiUkZuyDifOmcfavP9lz24Si1aDcC8VZa8O/4BthTu+lCbtjUcCF5+9kHvkINC0jZ90EYBuJ81OxJesIGFDMpmMs3Xbx2YVMWCS0WChStVpJGk89lGwYD6sX13D1e0fOfIVoUb4JZgWrIYgisiTx+O/pnD7/mFuzZB56werTEov2rv+8HU+FHq2c0Gq1cOcZo7cqx+wtlcnes7dgbaYmX62eDG0yQqf21IY56LbiEtuG16TcJC+6VZcxNYRieUjVpyytvM9RAfNQN6q7f4+hxi/JMpEqM/S1gYmON3SBP3vLDN3wL06192FbXnfHQ5W+ESaGAleeyckKmTU/aBmy8S0/NqlE/pwCg7opFn2zDmh5sG0SZSp8p/P5sjohr28xtF0btBIUsNVjxolXKZb/ms9xnZwxBUEoA6wG9IHnQC+U/ZwdQH7gNdBeluUkc8vFl4DR/7eMvpi6umgyoMzWzi78Hl9vH2p2GgySxI5f52GtH8yekdrYnamhG0UMizSi6pC49WHfW/u4uX8lb155I4S9TZToKEsxDCWemApFc8hKQga+WP+0ErRfLiIb2dFlxZU0zXoBgt/cYcr3zZEkie1DlUi3u6/CmG0iI2f8Qp6auuf1+ZxEBvow3rUCu4dJbLsisuqUhEaC/DZ6TN51OdmUwUkhSxKv//mdB/8eICIsjCNn3PlnApTM/xkv4BOe5ezJnQKzqPugMZZh95IsM2i9iIFjbWr+uCVNbb+7uYeJ/QbzamnyqRMCQmDbJSWiQkyE67MPofcqFXNPusfu033rHJrYEMvwh/x2XMLEUKBPz8ZUHrw2RWfML/0cj633rXj8x6AJ8ef47E6s2aUshZkbw+ulilUZQMtFaqp91x+nNsrGZpjPY4a51sXSBBDU9K2j4acWSTb99Ynv1Z+HrOkA6QbMR1GSc6IYRWYysqz4qdzyNGbY5uuxpqxp4cpvvbl77jiH4+UH0UowdRdc97Kk36b0ORJmJrIkcXJGSy6cv4WjrUCEypITV/0ZUB92XxOYv/soJnnTr4ocGFcPW+0j5n7BLca9ZV8giQa0vFUYtZT03sWxu9BnlUAua31KlnCkVu+fMXfSbZt2dc+StHXx54e6aetX7Rki9dp2omS3VMK2fyPMbO7Isi4RLDkmYGEk8+8TFbP/eZMlPf6/geAWCbmzdQru9x/QtTqUK2xE1ZLWbI02DovSwGV3DblLN4gt/+DAUpqUFtkzAuqVkGhR9it1XBd2EWey3P1rdiQFXIjrY4rGLOln9gGBUw9UDPrzRLoETESAJyvXHGVJl4Tx7VSisoRkbJy5G/vpQYoKZ+eIauw+eBNRgKdvVXRftJ/apc04/UjNjDXrMiRgAOoMnMeWCwJ/pyG4REYIMiiIJBpg9/FUsgIGoH4JmNhKZn77CHJJjxnbpSPnFnRAllIP8+Pk4sJj77Q/Q2sWlXjzOHOjd3xNPP0isTSBncNkHGwFShfXXeP90nxzQsbf+zUNS8jYWQjcfBrG4xcf+fO0wOIjkKMP5LczTJBRLzQ4kFzmMiXzw8reEtFBcr8alw0mJm/maxT9akamLUMFh0O3P/QJ1iWRWQrIiAQYFVfkS3x/tkyOArDqNKz8R2DcuoNJ+qnowrvbhyiWV0wUEPXGCxixCSyt05/3WHzzJJFZaVpx2zKWFd3L8vjxG2oWhYKO9kw79BBDa0cGbr7Lz0efYuWS8XD7pgUqMHr6RKbu1v1nnuL4TAVR1mAddIVqT1OeIalVMLAB1C0BszvK3J4FJ45eYM+YOgn8Wj5FliRuXL5OmQJpX30RBBVOZdqgfXwlzXWzIk3rFWPyLiUW39wDMrZ586Ve6SvxzQkZfQND3gUJ/HFSJp+1QHC4hnuvZWbvh7lLJjF684UE5Y1MTPH5mHUu8626Im/VSZhhugExkz+9xB+nl1NusPlcJP9kcHXI3bYv/xQ/Sah+XuiHYjKiBVZlQiej2XsdpuwSmLJ6U4Zm8R5ulymThHzaekmkTfOyNJl+ON1tCyEBCCEB6aobEeDJ3jG1mfrLZk7f+sjtVzJhKmvaTf8r1sFPpdbPVBPq3NU689JXYq+OxnTJjk8dMIl8Te0nbdIcmTmPFZwYJ2MvPGNs5w4cGF+f80u68fjv6WgjlR+FpNVwckYLQkNCaV85lQaTYHo7LUVdyqMvC3hf3JzAd+ZbQhseyIujSwgKDOHva3DlGfzeC7buvETwmztfu3tJ8k0EyIxP8fqdWDzmIjZmAq6uVVmx/iKdXZ2p5NqFvLX74PnvOo6tW4y+vh5WtjnZc+QeU9tlHSFTOTwZb/+NEBtRPRP3Jo+4GeDgkJsjbt60LJ/+1J6vcioL+8aRXp9lycztDXT6Fb5r4oRZ4TS5USVC38CQD5qESyrvg+HOKwmbvAEZeohr8ySRK1cHvC9uZkjvsQCYGMD4ST9QtO2UNBs0pBU9Y0tm/zaHQaPHY28pp2qyn+z4/MzktoR5nWX614Ntlx7i/+oRczeeYk6BEgiimuU/DcNEX8vRsQkzYeqKICjXdvg2/L7lBiER45i8agsWRWtn/sV8JjThwaz+oSrebwPwD1J+gBvPC8xsL/N9dZGji4d+5R4mTdZ5+uqIuWMFPN/L9K8v8Ou6i5gbw6FTj7j3z26Wtndi8aRJNHf2wyDKhyMn73FqPAxrpFtI9y9BLu21pCMwxyxnqci0/RhZhsN3VcyfP5/Dd1Tpjnvlm6MqQUZFMY54iUD0d2lCwtcMYm8JszrA9RtPuLi8FwvaFubXTs6EermxoksJ5rXW/eFu4+jCk3jhR2QZKk4WyGmfnyYjM2ipYGqZYhTf5Hh5/RhqFQzpUZVVZ69RrP30zy5gooL8WNUxDzd3LqRaGXu2XUp9LyPZ8ZlG3G37cr7wFs4V2cHFQut1rlfIDia2hkVdZUwNBYws86IJC+KNbxSHRkvYpH2LLpZc2mv0LnkNtzkSnatKnF2jmxNpVkATHsyavpUx5iM3Z8jktxEYOaA+YYYF6PGnyDhXiQf3n33tbiZJltVkNOHBsUH0okI/cGPtSE4fO8d19zD01TCqqURuc8hlAfmsoNWi24xoCv3qKqaLAxtkPau5FInxjTEh0/ZjHniCqDamXbt2jBo+gIeeoWnekwpXW3PdUQlbbxKesi1+RrDKAT82g6pFZIZuPE39EiDLMssHtuL2szAiNam3EduWU2WeesdF3vZ4D4FhMu2XXPxqOdOrDttE1WFf9pwRAZ4cvSOjuufLsrWLWDJ+DBUctZmSRjw17uX7WXkjR6GS0qdBF7AR+fDqNvnr9qeC8wwuPA6kVSbFrO1eA6pOfYLpzJbUm5h0ErqsRODTi9x4+AHv35Q9rZvPZVr3Kcob90dceSqRxwqWdZOpPeNr9zQxWVaTWde/Kr63FL+gtf1rcO/8SUY2DMN9IXj+qgiSHrWgcSkonhfcF8HghnG28VmVl+pGCeIuxRLyyWsmcOQONG3miiAING3WnCNpXLLViMb8U+wYYXqK5UrlFwPjPvwM/QXFn+X6LxJzO0nM6SgTEhJGXiswNVLM0XXBOE9pAsPgYygsPKyi2Bho2cA5UwSMEPAuYYypLEyOfKVpWiUnWgksilTmu86u7Lwmokkhf1+y4zONFPdQgmAKkhaijUbSSnUniQen9wBQpFhhbrzMWJ/iX5uzPdyYCbv2py9lwZfGolg9RBHevFfGtaE+XD68G/0wT1b2UZYDaxX72r1MmiwrZCKD/Xl0eiehXm5cvf+B3cMkvq8OhXMpoWW+Ve4YDOKOwaDEHxh88poJHHlgRlPXNgA0dW3LkQe6rTVoBX3eG5fhYOl7hOvbo6cNpM4jV/S18Ta8P0N/P0UUwdZMwNxYIH9OkdB3T3Wrp1LjnN8Atzew66rMjCVTaT77n8zpk89LRJ+XmdLWl+D7WUpIgR3j21PcdTDvQoxot0yVbPlkx2cacX67nFY3HTHQBqAVDXlh0y3NbfSuJbP/2D0i3r/B0MQU/+CMPa4+vTY9FYRGfhsrHgEP/0FAWfrts1qgUdU8hEVoCQgT6Vzta/cuZbLsvP/KU3AdWIXD8wfQuqIKYwPd0ydnZQpEHU/6g4hPXnXg+98N+Ot88hXsbFTUq1cPgPr169O/r4jQJfn2OtcwYOvACO7mnc4LW2VjqITnLJx8VsTtxWSgv2klMBRuvJApaCcgCqBJQ2DCooXtmbr7BW/8ZXKVb5VpfZLMbTKtrS+Bsb0LK3euQRsZirG9C51GTGD9nMnJlk92fKYDlRxBlWd9OFPsEC9selD6zRREOSr1itEUtYfO1QQW9ahNSLiGRZ0ztrcac23hkYqW328NqEUI9X4QmyY7q/Lm5lE+hkG5idC+eQlq9ptLz0ZKUsXL7lAlffYoX4QsK2QEYMroWTQvq2Je9/+GgAEoE7ki6Q8MUEyY06AZ/NwmgtfvjRHMirJ243aKFEl+pOXIkQOfd4lNwdzd3endvSMEPeHnNsraV3GveViG3sYo0itBZOuM9jetnH0EZQrn4MHLYCoUhBdXj2BXsb1Odcs2+o750xYwc/0G9M1yZVqf5NyOmdbWl8K6ZNPY9+FB73H3klh2VFlu/jRbZ7LjM51Yhd6i0NtVPLPrS5BBQczDdVvyjGFRF4mx2yJRixmPw1YmcgX3PaDQHDDPoYdfkCLw9C3ypFLz61O6+yI2dZiGJjwIA4s8yJJElWImXH4Yws4r4B0A11+k3s7XIMsul+XJqWbTQNg2RJshi5JvhnRoBkVywdnxobQrcoeqlUqzZNECJB28pgG0Wi2LF86naqXSfFfkDmfHhVAk+llsoH2Pg/+25AVMOvubVoLCwNrKBCtTFXWKyZw/lUJ/PqFg05EsP/sYq2INUi/8f8TF/VsJCofhm8B2oJKI63OT338XBlHvMIxK+16WIMD8zhKzO0qodHxafQiB5gtEio0RyDcUqkwV6LdWRZcVKurNhP5Du8UmISpsr4eon0kmkp8ZlaEZBtEC8cbqQVx+GIKlCfx6Apb8Y0KAeTociL4AWVbINC4p0bT01+5F5hMmWCZILBVL/HGeBi96lQgjmkhcmhzGrjVTqV29Au7uKecxd3d3p3b1Cvy97mcuTQ5jeBOJNO+Jf4E9mZd+YGVjQ1ik4htx40koH59d1Ll+ail+00VUZIKEU98aLX5cQKWiRhTLI2BlAs3nw+IjcYnfkh2fGcAy7B7N75bBQPuZ4hDF47EXtFok8C7EkJYta+DxHq48lTnlBkVqd2LmytWY2xdCkpTVkadeUSxqX4zb63WLeJ1VcKzSgv7fl2PWyuVsuHiLf++G8ODOw6/drSTJskJmaTcJg0z0fM8qHDdex3HjdYk/iDFm0KI4ZqaRGK2mucMd6tVOeSewXu1quDreTaC9pJkvoMncfq0id8FivPGTGL8drHIIvL68N/WKnxHVs9uont3+qn3ICBZF6zJ690Nq1y5HULiSTmHKLph3SHkUJDs+PxMy8DxnN46VuMD1AksINkj/cuSdV+A8Bs49kvHxC+XksQsUz6dHixp2PH+rpWyl9tgY5mTF9BmMdZWRt8C+H6FivhB+mbODj0/OZd6FfWasSzWnZMNO7F0yhYVdqgBQOnfi9ApZgSy7J/NfxUBKMoq24oA5FyWjdlD62laJUCy3RNEiDimWcypcgOL2fmnXXmI4iCIMIWEcs0zklS+cvq+l0dgWwE6qu5gxaMuDr+bnEoOs/vZnPiq1Pg0m7cPcZgBzlx4kOByWHpH4CWi+uz2Snh6ERRc2RJlIGKD4cn1HpuUR0ojGPMw9iuc2PdCqjAkxcCDAuCQlPaZjF3Q2TW2FRkCZCcr75T2U2Gj91gr4aqzo8ecNeooi8tNbaMKCeOKloWt1ZTm2eVmwM4dlx+DG30uoNy5j0Sa+JE/OH+Sd7wemtoEXvtCrNiw9+rV7lZgsq8lkBSI1Sja/0Vvhpa9udd59hOfvSNa7vklYb5qE9U78gQvEJsUJJN2BJ4+4GdC0RYcUyzRt0YEjbhlY59oZ732/9DeTHFoJuv8p0rVjLcydlBTaL71C0IR/zPyTpRGpcFmkwlk5lLduCKJIhR+WMVlPCTbxIgD4C9SRUeiHhCqTHQnFuEMb/RqllKEbyqToYPrPH6xfgGMul3hm2xOtaAiyFgSBQONiXCy8IU1tSRJUjDaYOzMJhjRSJlz+wVC1bu3YSNyRufPz+OEJAAx7Qs4BoO4GVaZCyXzw4HYmR3v9zJRrN5K8eWzpswrKOyY24sgqZAsZlKRGlaaI/H5SSRfw7iP0Wqmi6GiB5vNh4SFlppQS3h+UHCjFxkLlKcrgTSooZahebiJUyax5xz8cb8lMIxpx1mkvf5f3SvD31CZh4q2YMDJNmymmjTGb+/nsc7Jk0QIlGyPQtFnzDIWZibVmFvksScuO3oHACDXVRmxEG+IPwPO3Wu5uSV904GwSU2TNClpXLM7UKEVJiZ1yCIAxyr0Vo9+rol9jkFAEz18oSezS8Ww+77SNCD3FHFwthYCgQpTCEaVwZFGfR3ZDCNHPh0TyPj0xXH2mRLf4vTfUjueQWC6/lgnTd7CyZxnOLepKx/Ilcbt0lt2PvNj10Ivftq0HlFhy995A8VJZ1JsxGUwLVqbnmttMmDmODsvBN2uulmXdpGWyjknzwiNh5T+Kk2azMmk/V1gklJsoUMjRjlNXfQiPgmFN4IaHKW1+GMii6QuY2kaiX73k2zj/GMb8JZC3QD5cf1yKUW5ndo5uSL38HgyMZ9z0wagkp4sfA6DtjSSylroRt2RmBvyuHL7iuAJPKyXneu4PR/AzrUqU2iJR9sH7HtBsqTUvPXx5+vQpvbp1QAh2Z0qLEKYfMAFTJ9Zu3E7hwoUpkMeGoyP805764CDKwwXAGliWxvqpEBgKVacJdOzdBZcu85Alie+K58VADyZO7EWJTl8ngON/BZtL5yg3cRTGXh6xirOE4viKJYpmmtzEwQ0l6vZ7SOA2pQbsULQbHScdESpLZEFFqH4+LENvEaTvyE2HhQSYlEESlQixKm0IsqCi0Lu1lPRMOV6KLJMgdxCAuze4jCNRSKLtN+6hNolL96AND8Tz0l/kqdo5XfmLsgL7x9XDIvwRS4+S5ZKWffN7MjP2CczcqwjKGR1VTGypu09NaAS0XwYO+azoteo6ni0Kc/tZOEXsYNnRIC6MmIeJAfROIVDrs7fQehH07N6ASn2X4e92nGHt2hAUDn3HJix7w2ER4osUpn0uKLNGCWXJ7CDR69/KbC5JwRSPI3egcZNmLFm0gJkzpjK5RQRDGymWY/VKhLD8uGLqPGnydJo0bcaRO5vSLmQ+41KZVoIuv4uULe2ASxclLWiIxy0AJk3qRfGOX1/AxNw/yTGr5cVOHZtL56g6sAfqcCUaqwz4G+txqFwUPaIjBp0xXAhAnfBRiRtwIS4TavwsrhrAE0UA6Rh/NMbSzFDjB8DJknEpOvSj/IhUW6JVKSaX7rkGkevjSWyCLyfbXnwBM/+QyKy9EgGhkM8a6haDQ7dhws8LsbXOkUDAgGIanL9uf906nkWxK1CI4AePIY1pFr4E39xymdcH6LlSxcZzytLWhxCBLq5O1CtvxaTtWp54697W8XvKnkuHiSsQRJGxm5TNxvHbYWCXCgzrU4soLZT4ScAvGVX06F2B3HZmVBu2AX+34wzqNpwW5UWCVid2Hgs0LoEQEYqQkuf6d/He71Beyr8cQfUnqefQPfLAjB279iRpmvypqfOOXXt0DjMTy0Hi0hGoyPSlsvE7RD5EGNFyVtzu5evLeyloC0sXrOPA1Nas+6ECUUF+mXviNJDq/cui2Fw6R7V+3WIFjCQIuI2ZxPDaeQmN58P7UVWIj6pU8gGAMvkZh5ImPAY/0rV8Jn0y1631uC2GUQnvcbCBAwFGxXll1Z63prWSbMc3ECbvEpiwXREw+a3BxhROPRDo2LoihQoVwtTCLm2d+0YI+fgBS5OsJ2DgG9BknvoowiCnKWi0ihNZgxoFmLn/Nd4BGvrXk2g89wkDBnfGyOAU/db6srqPTGEdTHMP3BLo16l0bH5xA6t8bDh+AJV+DoxyFQXA5bt7TO/RCucx4TxdBBaf+G21Li8zZVcgQa+uY+3SiErOxlR0DMUkiZwwtR61xtOoLsaRr5PvlCuKtqBBWfc+CGrXsJQdI6OxyaHh51bhsdpLUsSYOi8/LnL5RRoS17ihzFxjSNm2QCe0krKeXqUw/HkKdl2FGbuPxfq3BDw+y/nD++lYVYmaO/XvGxy8pKXpg5PkqvwFE9fH77NDia9y3owQo8Goov17JEHgwtpt+FatiU/nZeSJtxVROywJDSY5XIB5JFxC9QcWAKPReRIiosEw0osItQ0VXo5AozIhXF8RBqZhj6n0rD+nXM7EltfXvMf1TsLGV5wUmLBdpmmtAqzav4g1P3Xj/osQalUtxNjp+9EztkQbnsnRXL8wHx79w9oJ/QkNj8LW2hgTY0Ns8+RBq4niwqUHTGv9tXuYNFl6T+aJt2I10qR6PoKCQ/DxDaHn2Enc3L+a+0/eERUZzuVpMvfeQNslArN2HOXKxsls33OVCa2UqMzJJTh66gPVfxZYcuRiqml+NVGR7PyxLqcvvWD/KKjmlPBzl58E+oybQIEGg/E8v47JwybSr76KeZ3SGQ4n/o9WQJkxfu3VmeEoM1XIlL0Y/yDo8KvIhccSjjYCKrWa4Yv+xNqlSWyZGc0cMVRFUMFRWbKsNwsccxsweOH6byrZ1NemUb1K5PDyABQBc3/0RNz7DEIbGUqvioV5tRSsMxp0Nv7yGUBOdF46A9hb9gWSoI+j7wbKvJlEiEEBjrtcwC7gJFrRED+zGtgFnEQACvquJVfgmdi6gaGQfzgs3rY9dsL48dlFPr6+R77afb+62Xtm0aOMPT1rwffVFK3NP1hJY6GvBjMjGFAfxK7ZezJp4ok3uDga0/HXuLzckYHv2NB/MgVsBEo729J6iW90hGaBaV2a0bhBGWatW8umn4dzwi2Eg6OSntXHbAaqTRULF60mknubx3LtnxMEBkeQ196aJiMXY16oGmo9fTovv0CRPwew/MQhqjklFB5T2shMnjWHX6p2Ik+NXkybF8bIITO49VLk6Fjdw2HE4gqcQHmoy8BKMn2DPU0cJE7ACGR4L8bzPeQbBq7VbVhzcge+bqfIW6snol6cZiVLEm6vImhZXuDvGwIrTkqMG9WGcn1+y9jJ/88osmYFJvEETIwGAyCqDbHKIeAXJKcqZGQEwvVsMYp6m3QBV8ABmIMyZv2It6eYOmptEFEqcwyj3iEg8dqqNUhRvLVQLGeMI15T+Xl/1HJYorqRWiX8/fZZQ+i3XslnYV6oGuaFsnh44jTSsHIuKjj6UDULB8NMiiwr4oduFOm7Bhq1aZngeGTAG0yNIJ9dDrqtuISFXV5K/CRgnQNGNtHy+5YbXN+1jH7L9nHktkREPMsSD3/YckHJe69WwbtAmQ6lCrOudynmtXHm9N5d9Kz0gVltQylu4cHojt+xrk9pTs1qw/5x9di17RDOSey9d6gCFQvKHJyqhNW3dlZ+xDdfSMw+kPArfqTXiUd6Oiz19CXOb8afDPkkZIj4WhVAJ1LVqsIjYe91ks1bsv5faFc/Hz1X38LIrgj56w9IIGBA8eNwcTDk0C2ZTh0bsGLrH5TttTwjV5IpCL4eCL4eX7sbOlN8yVwlRDxwf/TEWAEDynecz84I73gZHGLGZ3A4dPtDn+DojK2h+nk5UuoWL6y/T/5kLijjI4adyRVMTDGvReQJOESRd38CEKafB0Q9zEPvUc39exq7VUkkYKbtBqEL2AyIPpDKqsy3du8+xcLKktf+WUpJ0Yksq8nc9jJh6oo52JZrk+D4q4u7CAqD825BDNVE0H7JRWpd28Hq6eOxzRHFbz0lBq+/zcpt9RAFRWMx0lfiGe2/IWOkr5gtx6d7BT9kGdpVIlbrqF1MZlgj2HnFlxe+vjjmgE7doEky8dSWdZOw7v8UrVSDtguU/ZOgMBBIOCge6yu/QueobYnaSEDMDzbmAf8X4AP8kHK1TOVTAdOZVGemDz2hzRKBZ29lFnWBbjUUdd7YQHkG7LoKi47AmImpT3F93kcwoglcvnCJasPWZ+BCMg/R3wsArU1azfK+PEXWrECMUiINS3r6uPdJnCfGyy8c63gh3mLG52O3bWw+F0n7itCyPBhHvqGo91LMwp+kfFJXFIMVLcq+oo7aTCG/9RTyWx/7f/lXoyn/anSy5a8/h5//Vt53blqI7xanHhLmW7p3SZHD0pqPySiSWZksq8kMXnMukYABsMjrRF4r5b2gZ4QgiuSq3Ilxu24TpDFm8HrIl1OFIEDDSjkZtkm5xP03lFnOlGn9qVtW8Xq8/DP4/gHtKyvayKfLWpYm0K8ezO4Io5snL2BASYAEUK7Rd8iy4kQwxhUmtko4nS8auY2ikakImBhcUR7sMZxG2Rv5Eo7Jq0koYKxJ8WERFgm7ryr7Js1a1kWjheXHIddgcBgBh27B2rMweL3AxJnjcGqTfE6TGIz0BRqXgnvP0hln5zMgWdsjWadsSp5ViK/FPBgxNskyVcrl56/LcROhmPF5xM0ABweH2MgQAlDCay7WIddTP3F8o5A0aDO6oJVg+yUYthGc86jZ/chLJwED39a9+xRJq+Hf01epViR5be1wFg2pl2WFjL6ZbZLHLRwq4PEeXKvbolLrA8r6vcrAlPotmgFgZapi10Mvus7eytHbEtefg2tZKGinpnCriVSsWZUaziKVC2dels3FR0UaVrDEsckIRJWanyd3Yfkxxcw6Ps5R21LXYuLjCtSN978fyrr351o+c0MxQz0d71hOUt2HGbddxc/79Ok3oB3mNsoPuWnTamy69oic5no89lY2J30DZczyp54gKtT7AaOJoUsAACAASURBVO+DJP59DMUcsk68DNkmL/I3MBPWRYsBKN+wLYdux41T5yhFyBy+q2L+/Pn/Y++sw6pY+gD87h4aBRSxA0GUa2J3e22v3X3tbr12d3vt1msn2J332mI3doAggiDN2f3+WFKJAxzkwMf7PD7CnpnZmTPL/HbmV4mLDNGYyJUlFK2+FI3cDu2Ww9UX0G/ipATVTS1zFxNBX9/w+F0wv8dxVK1p6Ktfjc4KmdgwzV2MPQ/e0HHRcQAe75lIq8K56eyQm+lzFMeS4Wv2A0pWwD//bMyCYypqF4FXn0N5f34NyDKBwfJPnsBJIShEJlNmc4J93AAo2GQUIWpF95NkeqLsaMJfOGWUXYY2dzXhwmU2ig4onJooVkLx6GFKW6t5+zkYPSMzXF88YNTAupTpOBlBZcCT9yFM2Q+lrGFJZ9g6qT9yLHlvJHUoQZ5vWTu4GV2qqVh6ArpMWa6NEf5fockuBiB/g+FkzWLOyJ2RD+rjjyDqmdCyZUtQGfPkYyI6EDVE0rpE1I+FJWEuVCaGkLvGrzw7TlmMLG0oXdCUGU4xL9nu32DdBd3U1+isTubrkzO43jvPV9e3+H/zIsDfn1vOL8lkZoB/YCh3XymKlVmz+pIni4i+KPPKXWbJ6qlkyFs6oh37Br1Zu/4Iu68qv1sVqUnuGr3471wRJu71o0MlsMygZJWrUkjZ2Ry9A5IM5WyVCK2a0KumTO+N7xnfpCzNmtdEHRpMYAj4BUGGKDptb1FxdLOQXibsCwm33plPpEPkFxShkAXFUCAxZs4PUazXPH+4LqDohDS0DuoSpk/uOX0TFe0ELj2Vsd5zloWX3rN09TTGDZlE88UCzjNllp30w/3WPrKVi+5sE+zjRvtypciVWaBlOYG5bSXWngWzfGUSMbBkItzXwkjHE11JyvZDUunFuosBRfnfafomhrVuztQWQEZbDtz3pkHDxgiCQIOGjTh+b2vCI0P0Rnk2AbSYRub+bCg+FsZNSISASS1zFwOCKFK+chnmrb/IlRciXapCyzISF8JSyEzYK1CscB7uvonDBy+F0FkhM6l7Fyrb65E3s5o8JjK+ssDWPjIvP4eSyRReuMHALWBdqweLmo7j/blVXD20g1yVO0drJ2O+MnRpV5Ul6y8zZkijiFzenScs4PCyidSf54lfkIx1NgM8vwVjnVXFWw+Jj19lhjeAhZ0066+1FZwao8bpFpx7cg5RgMMjogsYgIvGStiOpn6J8JwqCoziZ6EQLmxEIDPxC5xwweJF9BhU4SRSaHWpqgjqDiuhQYUs1GylzEXuGj2pVXY5gd7u6KmgjK2KL6/uRAiZ4G+ueD27zIPTO6hUUGB4A5mW5WSuPAeb7HroZ8ySsI4kI6o3StRTtX25FO5J3ISamqDy8SHUNP6jxow25aldITdzj3ykwp8LcXwyjclhlpINGrfg7ymOjGiUwOiLRVGCamo5RXfRPGCTVSBTnoQHs0wtcxcbxZv0ZqyZBYYmGRixYDtjdkCpQuYYGKioWSM/eYqWZ89p7abP1gY6K2TeLAUDvajnWcqbWRkb5bdKBRUhI6uDEVV65Pt9EPl+HxRjW1VH7qZ0x6d0rlkLlir6gkMX9vLnpvt0+PKK7x8eksXhD3b0K8X+88pxV9Nq2cmZ2S3B/W5aBpqWiT0Fsrk6gTuYHymK4jMT0w5EIlLgmKDEcJeJdJCLetwWE0nZEaHEgqs9S6Bh/TLUGLM3QmcGYF+yNN6PT/LfM4lH79WUs8hGiL8Xq7tX5OZTH2yyibh6SZwdp4Rd9/SFXdcgbw7dClgoG+qOfigu9Pz8ov0flaUjB3DpyMGYKx5qRlarLNSqpUSErV27Nn16iQgdY79X+yqG7OgXQ5jywB/+1wIBwaCvB8EBCQ85nFrmLjYsCtWkTKGaqAN90FusRBB+5/qdXFlNOHrqDgXu3k7hHsaMzgqZ2Dz1w9l7XcA6q4CBRR6N2jPKWoBpU7qzY/023L1D+SaZYwIYZbHBKIsNsiRx/IoiVGbN7MOZ/buwTIZddYyBBxPDj8Lmx11JTOG1YhIumu5+NOCbP0iyTGhQQDQBAxASFMS6sxKnH4g0+6MKZnkK07FMEQz1Ibs5vHGXGNxAYOlJgc0XJYwMoF6FHHSYsT5pndIyqSYwZri2PgatfeuBI/B0+0hGA322bt6EnV3s3n0ZMmTAzf3n864XL17wZ5e24Pucqc1jCdci//B/EpAk2HEFBm2BupVzk6d6r4S3kVrmLh7+W96bSoVEdvSTeOep5pW7LxmNoGYR4nwZSCl0OqxMXGz7FzqvggVLRpO3Zi9UhrFLBFmSNAotIalDkWUJn2cXmdCjKy8XKQrGVEO4wPFGOaKIbScjoDXB8iOevmAzDFafuRotXE/wN1c8H53FqmQTXp9azpQJKwgMiV5XXw8qFclI33WXY7UuTEczmhbOjUqSUIsiTo9/dkBUq9Uc37aRg2uWMmnCBIYMGYKowd+IWq1m2ZJFP0X5jpFOKM+eAGxL/FhkGTqtErnxSmD4vEVkK9s68Y2lYvxdH7P9r7a8ePOVY6NkCub4uYzQUffCysQrZARBMAIuoSxbesA+WZYnC4KQHyVaUWbAGegsy3KwIAgZgB1ABqCTLMufBEHoBmwEHGRZvh/W7kOgsSzLb2K4p0b5ZPZeh2kHBR6+lymUS0WjJtWoOGBDhPd40Nf3bB3WgPPOX7HJpkfHPt0o2PQvVAZxb5uPT6qHZcBD5rTTPQGcGuixTgTL32g083SMn5+f3ZyzZ65TpyhsOA8G+tC/b1OsK/yBeYFK6BlraG2RTqzEJ2TC+fTmFasnDNdoV/PixYuIHEUb//TDLr4gtFoQMn6B0HaFyKdv+ozeef3/+uVjUUs7yuX1Z1YbGSODmMvEJmRSYh0PRxMT5iCglizLJQAHoL4gCBVQ0mstlmXZDuWwpkdY+U7AGhQD28FR2vkAaDW1Yevy8GCOTMhW2NxLzdnjF7i8pBvB35R4/5eW98dM8MJ9JUxrEcrONRvoWLIAm3qU4OSUhny+uZcgz7ecm9WcI2Pr8HTfFEL8vXA68ZAmJZNHwJww3sgJ443J0rauMLuNxIlzj3C/vT/Gz6sO3YyrN6w+A5NnDmXNpQeU7rUKy2INdF7AiC53EF3upHQ3tEZOaxsmb9lPgQrVqF6zZpxla1WvROP897n4lwYCRkv03SxiYJadsQcfJVnApOa58317iydv/ZjfIXYBEw8pto7Hq5ORla3O97Bf9cP+yUAtIDyQ0RZgCkoux/C0WxJEi6lyBKgmCEIhWZafJaST8aGnggp2sL6nzPh9/7F5R2lql8vB12/+VLGWMTOBVuWhVXmZB+/g9msPnrl9YeHIobz9ItO5qkhIiMT4CY8RJ66lXgmRSgUTJmTcvylWo1kyxu0bEyRmTuJodZ+gUPgeCIE+Med90TM2p0aZ7Ph+DyR/vYHx7ix1CSE0JP5CqQyVSkUuWzvsChaMs1zefPkonPNL7MdjiSAgWEl/DhAUAkVyE5GmQy3B3msSm/87opVnJDXP3cebR6hYUIVKTFxk95RcxzV6XARBUAmCcBdwR4kP/BLwlmU53PzrA5Hpi7ajSL7lQNSIhhJK9olxmtzTydQx2u/XDMfjZOqIm6psxLU3enVxMnXkroHiB1DGBhzHmLF1pyMd+swkb8bvjFSCAHDBaCFOpo7ksbalW3WY3Vbm8N9t2bffkdH92/BPf8UE98kqW/pMOcBZg4XR7n/CeCNOpo4ECJFeZncN+uNk6shRt7pk6w85BsDIk+VwMnXkmmF0Ye9k6oiTqSN1/btT17+7xmMCCBAy4WTq+NMOKHxM4b43oAQ4dDJ1jBaE01u0xcnUMSLroSZjeqNXN+Kam6psnGOKyjXD8Rjpg38whAZ8JzY6r3Gm//bHqUrAAKhtlRzfqqc3ol0X3z9XrvlGKskFb3dUT28guL6OLBgSjOrpjZ/eqMXXD5X6UXKeCB4flPpRgzoG+in1f8iwKrrcUeqH5YxBUP60RUki6+nDkQV9vZT676PHILt/ZC9NGjaMc+xNm7dh90MbzZ7PI5E2B1LYKuPpC6tdlOdzxfN27L+hJAgcuN+WoEqOuBdcQvnJUGikQJHRAqdMNrJ7ryP+Hx9Ffieur5XvxNs93jGpnt6INk9qWwdkEzPdmicNx6TS08fNW471b+7HdSQmUmIdBw2FjCzLalmWHYDcQDkgJiN1OaystyzLDWRZrinL8o+HwTuACmHngMlKBiPY2lf9U5KxqPx4cLn1MowLy0bpngALST0RspkLbP/vPx6+j3sHZCx7YSxr0TtNB7EygxblVPh++ZTSXdE++ok7q/jVBGZTtgMC4DBzSpxlZVnG2dmZhmFCRq1Ws2jRInLmysXixYtRq5W350aNGnHG+SsaGQvtJSLiQFDbzPz7DKpME/gSrByHBhrmYuweJaJD/crKumZlXZhZ61bRc8RQypW151tY0OXbB7Tk+6FvECF8UxMuh+ayYOYKpreM3TVCE1JqHU+wdZkgCJNRDGTHANllWQ4VBKEiMEWW5Xqx1OkGlJFleaAgCL2BUkAVkqj41zZ/7YK5YS99tYoInB2n2XcTqlaCQI6cPgnXpzc4degk8zvI1EkbFpMJZukJgeHbZDadPBwt+kI6vw6rq5ep3L0tIsSr/H/34hkL+nfh/du3uLi40LlrN/xC1LToN5T9f8/FUBDYtXs3BQoUwMrKiubFvVjXM44F7yGR3v4CbOgpMGU/9BrQkaId50UrGpvl58d/N7Fh+kS295eoP1dgyb/v00zyMU3xfHiCZSP68NkrhMMjoHyB+Otoal32K9bxcOKdNUEQrARBsAj72RioAzxBCaEYnpG+K+AUX1thbA5rw0rD8r+MmWFRTjr9Yc/rLwJOGgScBUUHs7QLTBs9jdzFq9KoTQu6rxUY8o/A8lPK9r/xQhFZVo6joh41pDU+ecH0gzLrnXanSQEjuL6Ofqyio3hUrIogKGuNKEnYbYh9N3Dn0jnq1a3H4sWLKVe+PEVKl2Xy1v2UqFydscuWc/fePUo6lGDhwoU0btSQbf9KEWGaYiRqrDIRVp4VGDVr6k8CBohVcGSyKct7Twn/HHUQDDPyamd/RlbLw8JW9rHGvYuP1DJ3AKEB31gztj+9q4fwfplmAiYuUnId1+TVIAdwXhCE+8BN4LQsy0dQJOBwQRBcUALBb9CkZ7IsB6O4EeqcLaJKVAI4erh9ZvCkCQzfLuD7cyK+GGlZFgbXg8G9xuPq8pBZu0/gl6Eou50z8NxV5qizxMJj8Fa/Lm/160arK8vKebWfFj2jU4rxe1W0aFQCswKVU7oryYL4zQPxm46Gu/2B1607RFgQF10wE6urMYfEf/DfBfbt28umnXuYNXMmf9SpGeEzY5zVhu1Xb1KtlCVTpkxm/4GD2NjZ0m65kgL4J6JmUQVoAwYqCAmMXT8XEyY5i9KiYTFmrLxObkuBSxedee2u5spDH4J9XBPUVjipae5WdStP/swhDPgdDPW10mSKreOp1hkzuQgMhsJjBAZN/ItT29dRJe8XxjfVrO69t+AQpg7b//QTgV9eMbdTLe6/CaZh5eyYGulhkqUoX3wkXt47zfdA+BagRIM21gczE7gyGXKlUgO0Y3eh7yaRPoO7M2HSBtbu3YBlsQYp3S2tEq6clS107h0pRpoWs0YVpmT+njM3p87d+KnM0hH9KFCiNA06/YkqzCIwpvEdGFmNncdeUSBvZopa63PviRvXpsrR02V0JTKAqyXIS6HAcIERC5aQvVzCnCiDfdyY3qo8j9+FsOXkUSZ3akyrNnWpOGhTgtoJJ7XMXYCHCz1rVcN3Q8KjuOuiM+b/1yGnBhgZwOruMmOGzqZ26y4sOgYHbmpWt0Q+mNpS+XlwpVwMbViFesVCOTQC7j/5TN5Cv1Gnz3C6zFrK8KXrmb7dkTXnb7Ll+iM2OH/i9xpF6bFe4OPX5BtfciBJSoKyrqth0F9DWDxPeRmS1cHx1Ex9yBZZdX6RisrjoaMjAj6YfvqAw6RRP5UZsnAVjbr0RBTFOMdXpmF7JEni+ZsvFC5Xkbp1SlF9usD78Ph564kUMAC9wc0bfAJkspVpmeC+G5hlZ+K+m2w5fRyDTDl44yFz7dKVBLcTTmqYOykkkOW969Ojpko7aUJ0gPSdTAyEhIJBV1i7dwMhft5MHjSCl4uUnYYm3HsLRvogCGCXXfn/9APYdkXkxkuRCbvOYWz18yFrkPdHTs/rxolzj3AaDmVtY2g8Eez4DwJDoHt1pS/aQC3Bg3dKioTtV0R8Qwzov2ATHs+uMHPS32S1UDH33Nv/O2WtLmK3YSVF58+IsPZ6OGpCnOH/4+L7+3t0/V3Zne5/+omL81pz8ewVblrL6F+MUjAsVfejD9BqmR4zz2oegt7v3R0OzevLvjPvyWAE5QubUbtlewJ8v2JmlQubRrHnx0ntPDswDadNa7kyKY5wPXGgizuZdCETC5svweidMG/nAVYP78DMFoHUTqK1mCxDux1lsS9qR4k/F8RabkHLQoQE+HJzeuLvc/OV4uTmdFvgv+cyRvqwYwA0j9uUPkZcveDiU6hQAEwN4ZqLkgn0/COJJlWyUqx8RRy6L0WlZ0CA2zM61ajJwK4VqTk2Zo//VE24f0XGTHGX04D1vSpQp1ZJcjjUw/C3RKR+SAANKxfHyDPsKAx43aYjd6fN/7mgBuP7fGMPQb5fyVu7L7IkYVzdlgYeQZEuATVREu0B112g+zo9pp96E+sLh/+nhwR8/YBBxizoGZnTqXr1WO89uHslqo7chahKRGxfLc5dciCpQ1nc+jf+KO7PmCaJW5fThYyG6IKQAWi1VMCmfD1ePrhH2exu/JXIiQ9n73UwqKU4UsWV08Lt2k4mDRxBxypwxFmge3WY0Ezze79yh8KjoVHlHJhkzEieAvao1Wo+3D7O9v4Js8zZdVWJfFs4f0Yu3fdFXwXlfzOlWr26FGs7EQOzn+OLeD48gUWBSqiMdCtMvzYId+7TRk4St2s7cX18jRnz9pIzM0xbNJVMFRIeXVgTrK5epuT4EZh++hDpv2KZhZsLVuBRsWpEuYSMz+rqZcqMHICR55cYBQwo5v32owSGz1tI9vLtotX3fXWdhf3b8PFLCOYmAq/dZXbdvMfxWR0oVb8dOSp3xvvJWZ5f2M2hg+fwDwzlk5dyotC4tj2NJ+5JUK4hbc5dchDw+QWdqlfHcw1kzpC4NtKFjIboipDpuV6FxW+1KVyvOyM7tGdCcyWhVmK48Bhqz4Kt2zZgmtUWKU/cITy+3D3CvWMbCQkKxuvtffYO0ixX9LUXMGa3SJZs2ei4OjK/ROCXl4z+oxp9a8uMb6rZsdnxu9BjvcCkFcvx+eTCuNGLyWomsPjcQ/RNdPNtMLkJ98COb/4SQsCX1yzv3YA7z32YMXcYNo1+1ptoC4dJo8i/Z3u01EJRhY0m44tJuMiA8IOACWfuEZGDd4wYuf9ptB3IrTV9eXn1CDsHSEzaL3DbNTO9tjyI8Z6hgd+Z38aBW88jc1jULGVBaKiEvnFGbPNloWyrgVgWbxRrv5Nj7rSJLEls7lWKElYezGiddnYy6QfmcVA2v5oXD+5hUag6Sw4eZqajzNtEWEB6+SmOnk2r58C4dAONHvIsDo2pPe4ANg4VCQjW7IFzvAXNFgtUbdyUtksuRvvMKIstk9esZ+JeePlZs34vP6Piz54tyVKsAZPGLqZDJXD3kRHkuHdDfu/u4Hn/KEGebzW7USpCylNQ64uUcZb8tOrdl6BQuHPGMf4KSeDutPm8btMxWvYHI88vVOnelma/5aJJw7rYnjrzUz27DStpWiQPze1zUqV7W4x/EDDbDaEnIv4x5C4b1VAiMCCAk9P+4NvLK7jf2s/N1X3YteMIzctIBIXCposyFX6vH2u/9Ywy0KZff7o0L8zEv9owamADLCzMuHzfh9/MP/L9w316t+nFzCa2fHO5guu/myMC5YaTHHOnTQRRpESFishpbFlO38nEgfs3JRRGnZolqDP5GMcn1MXr3WN2DZQ0tvy49gIGbBbIZGlBx2nrMLetlKA+fHP5l4ld2vDh77jL7boKg7fC1BVL48y3cXlBOz4/+Y8d/eMPtLf9P5h5SI/JTvdY3rUcd174MXnmEGwbj4m1jqQOpX/FfHj4yNR2yED/Xc9jLZtOJOrQYD5e3kSe6r1+ibFEjEddYYSnIBIIy4MnioiSFGO58F3Qh0LW7BnbjBv3XalXQsXctmqsopyWvnCD+UdF1p2TKJJHpIyNQNtyaho4wIYL0HMd/HP+HCY57GPsb4i/F+1KFQGgpK0RzTu2ZdK0LTGWLW1nzO0XATSvkYtOqzU0DdURXA7P5cKO5RwbmbhAmLq4k0kXMvHwxRcKjoClTifRN8vGrDbl6FMjmAG/x14nVA37b8DemyqOOKvp8Ecxfh++NloSL02RJYk+5XJzfw7kjOWEatI+gS3/CoxbtgKrknE79bhd28nqSaO4MVVi8gGB9hVkHKxjubcMrZeJGGe1oenccwiCgCDGLV29n11kTKf27BoIw3fqM/lE2tvNpCXChY2h5xcQBARZ/kmYhBOR6FIUCcieE+eZC6PpcwC+PjnDla2zOXT6Ce0rizQrJVGrSOTxbGAwP4Wq33oZtt2yoO+2x3H29fPNvTy9sB/bsnXIVe1PfF5fw8DUkls7plCoWiusSjVHkkLxeXYR7w+PyV6iPsbZCyX8S0lBriztwtcn59nYK13IJCu6JGQAuqxWYZyrOHUnHebZwemc2r6eC+NjfghkGcbshMP39GjWqj75yjUga6nmEZ8nRvm4quNvdCn7jc7R/55xfg091ot88ZWZuGIVWRz+iLetu5uHMnv+HvJbCbxwk2lWVsXBobE/0J6+0HSxiGVWK7qsuR3vW/bKTkU5e+sr9R1ELHPmo8Wi/zQaY2pB15XHSaXg7LH8tm0bglodbSeDSo/HQ0drbPrs8/omt3bN4dzZm8iSmuq/wYl74BckM7SByLg/pAjBE54yuEXNnLi6eWFooEejLj21rptKDXO3pZcDDe3c6VM7cfV1Ucgkwg7w/48ZrdQ0XHAX1z6lsStSjCvPfl6UvwfChH0iB27ImJnqMWTekmjCJSk06TWCceMm06yMTEbjyOsbLooUKVqAZrNPRGQDjY9i7aYxxdQMQ1NzLPIWY+7A7nGWt8wIZ8dKlBjnzsfLm8hdvUec5UuULcXZW2c4cVdi1ajhSOrQxJmbppMivGzenJfNmyd5ITbLX5ZaY/dTY3Qo7jf38uLKEcZ0bYqRRQ5WjezKO89gVnRVjp0PDIWX7mBm/IlsDuAbCJ1HLGauJFGgSexHs2mNZ/uncuiyO+vap3RPtEv6TkZDAoKh3yaRB58MePA6kE8rlGOxay6w76bIEWeJupXyULfvdDIVrqP1c/UV7e3pX82HllH+9qcfhPcqB+pPPZaoNqWQQHqVt+H+HHjuCsYGUCkWveioHQKBWStSc8y+ONsM8vpAh4qRncxgBKuOncIk5/9pSOp0fiLYx421vWvw4p0vlQuJdK6sJoMRlLNVnkGAEuMEugwbRf76Q1O2s7+Qj/9uYXDPsXitJc4UJXGhizuZtGXGoGVCBWMC9JQwFMYGsLGXhJ1VMCFqaL1MwHY4LDtvRibbcizeu492y69jbl8jWfryW/HC/Ps8+rOjrweB/n6x1IgfUd+IxrXtWHUW6syGylOV8DDBMVhL22aV8XT9GG+bKqOM0X7/HgirBrfE69HpRPcznbSFgVl2Bux4zOQNW8hTsiYzjhhTYwZUmRpZxsVNJnvJ2M2Rw5HUoTzdP5UAt2cE+7jHW16XyVWlK3mtRD6msXRT6UImDp7kHME128hsf6IIU1oo5rtZcuVj4aYVDNz1lFKth/Pywg4O/1WbNkWtubGqt9b7Urr1cP65LEfGiQKO3VNRvGb8epi4sMqVl7MPFeevCX+1Zts1Y2Ydii7MZBnuvIWMFvFH7vx825G584fgYGuEfW496pW34spDXxYPi/uYLZ3/LwRRJPNvdag4eCujHF+y8p+lvPsqMOjdEi6rOhMSCvrmOWKt7/vqOk/2TuLv9kUYP34NnWrUpH05B1wOzfmFo9A+ZYvlYOg2ATfvlO6J9kgXMnHwm+siyr3uG+1afitoXErg7dvPHFg0nhHVcjOuUxte/udEQcMnlLONPUcGKA5hP6aJ1QTzAlVo3rA4C44pbfv4w00XNcaZfva4TwgmGc258RJaNXagZLel9J2/mRWnZIZtE/H2gzce8PsckWuvDKjUfWqcbbld28ngnmOxyFMEfX19nn4I5eR1xbHo0TvNnEl1ncTOX2ohpcaXrWxrJi2ezfKxQ3n1zRKVCCG+bjGWfXNqGQNbNOfAxg1Ut41MIdCxMiycsYz5zQuwrmtRHu0az99t7Wlpn5OW9jlx/mcFvLr7q4aUKFrOciSXrT2lxoN34g8pdIp0IRMHepI/psHRMwoa6sP+ITLdKgXQu5I3J0ZJfPgbdg5Q81cT+OgFdtVi91MR/LwR/BL3mlKx4xj2XpOQJOiwAkwNBbbMmYQ6MAG5on/gu5eyNcqQWck9ZF6wKjPXreX+Z3OaLYaaMwWKlK/MhEOPyZivTKztfH14igHdRoS1UZnWvSLDo9jn1idnZgF/16eJ7qeukJT5Sw2k5PhylFOyBnbrs4RGJWHX8Lq439rP3U1DmFQnNwdGVifgy2u2LlnMrDZwe4ZM63KKTrl7DZFt/eHMWBhQw58WRb9ybu9WCmXx5a8mSvtly5ZFFazbkcENLXLxx5yz1KliS61ZQprIMZWu+Ncil55Ar40qZp2JI/pwEoP0zW5iQ2BAII8+Qh5LEa/vEt3aV6TGmMQFoxxUMRefvGQsTGD5yUsR0aFvr+vLrIWHmDK+A8U6xx7ME5Rz8dZFhkTmiQAAIABJREFU8gKw8+oNDDLlJvi7Jwval+ONWyCevsozNmZIY8r1W5uofuoMOh5kMcmk8PiCvD/yxHE+0+fsIb8VvPZQ8it9/AqWGaBANshqIfJPXwlzEyUaeK8NKjpVUlOrSOztqiXotq8cfkEidTt1JGsiUg/8SmRJYlPPktS28WBYAlIypSv+0zjzjom0bNcobsuyjJmS9Ac8ZO0R8uW1YvXOtUiSzP6hsG3P1USnpC2YzxwAb3+4u2sG6lDlTa9Uj5Vsu3wpXgEDysIwalBD9jx8g0Gm3ABcWNSV2y8C8PSVmdgc8lrCp1fPEtVHnSKJ86fzpPD4DC1y4dBtCTOm98S+gGJ08/ErjB/VCs/v8HcXcByqCBhQstlu7BW3gAkvt7DeDernusaEvoP4cFGjBJAphiCK1GjVhb9PCdx8mdK9SRo6u5PZ1h+uvRTx9hcwM5KZ2VpKtFnfr+DKc2j7t8DCs4/RMzb/Jfdc0d4eM5UPN18JLLsSv+VXbLw9s4LhA2eS1QzsrTPSZ9UJjCzza1RXHejDkg6lufLYj5kz+2DfcjIAD7eN4MPzR1y+8oSvPiG4+0DHxgVpseBCovuZzv8fX+4e4eO9cxTrMIsbq3ry7MZFnIYlzhs+nDmHRaYflBg9qiOSJGGc0YK81Tpp/Mz/Su7/M4LVy3fRtw5MaCrHG85KF3cyOitk6pbNRLGyZciQyYrH1/8lyPsjTsPUBAQr2fby61CCu6AQKD9ZoGXXzhTpELd1izZTwH65e4Sru5dQoc2geMPJROXlkfmMHrmY8oWMqP57NcoP3Mz42nlZ3T2UXddEHrgaM2zvs3h9fb49v8zqUd3IbR5Eh0oSrZYoXtsdV92KKOPufJDFI4dgYWbAiO3X0TO1TPR4dYHUksI3sejy+F4emc/ulUu5NT1xu/Y3enUBsA49xcn7sPiEKiLqwJVnahpUzUuL2Ud17hn9/v4e64e3Rgj1Z+cAiUymcPAmXH8l4hckUDinGrvssPmyyIEbks4JGZ11xe7zz6OIn39r6cXERsX5bZTA00+KULw9A0rpwIuHLMOgrSK5cmamcLtZ8ZYX3d4AoNbCH3EWh8Y0cWic4HqWdooCv4ptIAf2nSYkuD2VKthz/N5DlneVyDHAj+/vneNU9Pt/esikbu0Y2kBmWH248ES5niNv9PhsWUs1Z/Y57UQ+0AW0OX+6iC6PzzBjZl66JU7AANwzVELiWIeeol5xqFc8ckfkGwDd135gXtvSjN57Fz1jiyT3V1tkyFOCwbsec35OC4qMvoUkQxl7MxzKl8PKyJg7Lo85eM+N8lUrwI2zKd3dn0hWISMIQn1gKaAC1suyPEcQhCIo2cCfA91lOZ648YC+SSam7LuE17P/sCxSm0f7ZtBk4UHeLVPOWlMKWYZZhwSuuKiYsPekRl7+krnVL+hZ3FgUqsnyTfOZNXw0oxrJbDxxiXy5rXC8D71qgqGeEKtjm7/rY/5dN5qz5+/R73eBEQ0VoT9su8jEv1rh0G3JrxzKL0cX5i850dXxqUODuXdmL8YGyt9dYtKI5ws5FetnGY1he3+JKtNCeOY0nyLtZiaht9pHVOlRe/whqg50RR3sFy19e9RktwtX5Yy1DW2txwkl2Y7LBEFQoXT8d+ADcBMl8/cI4C+gHfBCluUTMdSV9z/9FGvb/p8eMqhxXb6u1V7O+oTi7QeD/xG59UZk7AYnTPOWTJmOJAHXq9uZPGgUizrB8tMCH76Cb4CMdRawyZ+NruvuRJT1d33M6SUDePvWjYzCN/rXgfolIr//UTvgjlsm+m9/FGGEEC50P9/YQ+bfauHz9hb7Zg2k299nExWROp3/X87Nbsk+x6ucHQdFcifffTZegKVnDBm/75bOHZtpQkv7nDEelyVlPU4qybkPKAe4yLL8SpblYGAX0BRFisooAV4TJSJeX9qJfS4xWQRMiJgx3jJXnkOxv0A2z8+k/bdSpYAByFGxI9OWL2TUDjg5RmbnAJmcmeC5Gzxx8YxW9ujsHnz78IwyuXzY1AcaOEQX8GXyw9nbXlxZ2pV+FfLQqnBu+pTNxdjaeenfZShvz6/H+eAqTjn7c3Rmx1880nRSMw+3j2LFlqv0qJG8AgagTQV48i6Ij1d2JO+Nfj3Jth7HR3Iel+UC3kf5/QNQHmW7dhR4AayOrbLq6Y1okWDF988R/LxR57LD490LSlorirx7hv3JF3IKh+CVAAQImThlsglD6Sv1A/6MqH/BaCHfVLZUDxiBhaTYBD7Vb8czg3YUCt5FPs7zr90ufIXcqN48wlz9khqBIyLqnzDeSJCYGbN73WmzyIsxU4ZhW6oV4qc3SFIURamvF6qPL5BNLaJl4YsIM27roFzQN4g2pnCzUcHbHdHtDZK5FXKOMKVTSDCql3eR9fSRCkQKNPH1Q4Qgf9TWRcBIMb0TPD4gen5CssyJbBX2Fxnoh+rNI2RDE6T8kYEqRZc75LKwpVSR3Cw4+pGZbWQ2zO+PZ4a6vHoeJUS/rxft+i9F+nKT5saRxwhOpkoWx6Z+zVhzXkXnpoWwyFYODx8lTtkXX5kvvqG0rpMH28aj+fZ5IHATc0tLZEnC/9MjnhxbiWU+e/JU6/bLrPKSRNhcALE+nyk1l0JoiPJ86StRJgXX14jfPJCyW6fa51MIDWH/rhOs6wk9a8Jdg/681a9LiaCVWIcqx19uqrJcNxpPttCbVAiK+fkEZW1wNhzCF5UD5QNnkl2tJDSLuo643l1JiBr+PbgbmzzlkQA56jzryjzF9uzFTpLW46SQnDuZmKSiLMvyHVmWy8uy3EmW5UTZIp4/e536xbR7dPjRojF+htYQT5d6b4Dxs8cnOteF6uXdiEVKV+g0YzO7romcuAcZDJVrV/6791MkgVfuioL0R04/gLtv1FTpMJTAkOifNa+Zi3bLryOIIoX/GAZA0bqdOD2jKV3q1OPEASc2LZjH/tGK5U+Ivxfvzq/hm8u/Wh+nNtC1udM2uvh8Ikv0qJH0Zk6ZbOKLyiHOMvVLwH+TwUylOKX6eH1lRkNrbq/rl2hfNB0h2dbjeG+cjDqZisAUWZbrhf0+FkCW5dka1I1TJ3N5QVseXv+PE6MlrSn+7+eajEu23iAI1HxSn0z+96N9ft0FmiyE9i0rUj2R3vWgvMkA0d74dIHnB2fwz/JVOM9UbPFLjhOwzpeVNtO3Y5KjMOpgf+a2LEr/GoF0qgIGUfbArf/Wo2CVJlhZF2HjvFl0qiQxZhe0b2BLsxmO0c62fV7fJPDzU0STzFzYNJudx19FfLZ803xmjxhNrswCb9wlihUwp0yVCtg36I9Z/qjqzeg82jWeDFlykq/OgGT5bqKiq/OnLXRtfBfmtuHvTf9ybhzUjMfhMj5OGCvBbqOecMTGN38lgnh2Czj/GJovBitzFY0bVqBQ1aYYmGUhQ84iGGbOk7ROaZk4dDKJXo+TSnIKGT0URVNt4COKoqmDLMuP4qxI/EJGHezP8k4lscnkx/qeSRM0z7P2Ie/XA/gZ5uV95uZkDHiOzZdtCES+tcgylJ8sUqF6ZWqM3p34m+kwsiSxtU9pjEI92DVAwtUbhv4jkCHXbzSedQaAm6t6sHzNcb4HQv6sAsXzinSspKbNMli5dQlPLuxj665/+eYPFiZgn8+EUQddAJjf3I5rT6JH/BvcozrLNlyM+N1AD3YPgmZllDS9+2/CmUcih25LFLPJQMVaNSneetxPRgMLWthx9bEfJQsYM87pWXqStDSEu/NB+nUYwNoe0KtWyvXjn38F7r+TCZVELjyBwGCZL74y3TrXofyAjTrzzMUhZBK9HieVZHXGFAShIbAERbm0UZZljewC4xMyAME+7izrVonqBQKZ3Tbx29gDpT9h+3k9JT5Mir3MTRi5U2TeGReNM1CmRkIDvjG3tQOFs4ewtLPE5AMihra1qTR4S7Ryrle2oTI05vllR/buPY+rl8Sue68IDfCmfblS0couXTOd3NV78Gz/VN7fOUe+sg0QBLhx0pGS1WoT5O/DzHn7yWgMmUxhWAPoXo1oGUADguH4PdhzXeTKC5i4ej2WResDynPw/eN9ejXvAsC8hSPJXbG1zr1hppM4FrQoQDXbAGa3lVPMkjQ2nn2CbmtFsma3otmoZWSwLo3KwCRF+xSbkIHEr8dJRWc9/uMTMgABn18wpFF1bk5PfASAA6U/YRbwlDqPY39NKvaXQNdhw7FpOCLWMmmFYB83jk5rwy3nl5gYytjZF6Ba235krxB/TlhZkmhVWFF8ViySkauPfBne/3cq/yCkfr6nO5sG1qZsjZrc++8iV+55cGI0lLX9uezi47D2vB7turdj24ZduLhGphCoVz4LVZs0Z8KEdWw67hTnEVs6qYOJv+djVqsQmsbuF5yiBATD6F0qDtxQk8FYjxmnXFDpGaRYf+ISMilFqg6QaZzNjhrlcrHsVNK+Ux9jewL1ssT4mSzD008ygiqeoEEaIr5+iPj6oVbaSg4MzLLTfMElWnVqzt03sP+kC3NGjGRS3Xwcn9yQqQ2s2Te0Eq5Xtv1UVxBFlq2fybK1Mxm+5xGLV0yiQu+/473nu4ubOXXDk3xl6tF9wz369WvOdKeYv+/B9aB1uVCmzNiGkUFkmel//UHP9TewqdUTgO4NmnL4r9pIIdqNla7r85dUdG18BfJb0mMdfP6W9LYuGC3kgtHCpDcUBWMD+LuLmo/LQSWo8bh9QKvtpwVStZABaDR8MVsvy4Qm0i6i+lMls6RL1p4xfi4I8Gd1eHj+UGK7GL29IH+EIH+ttJWcOHRbRvdWxREEyJRB4NG7ENbvvoulcTCW0hsG/jma1Z0Kc3tdP9SBPgR+ecXHK9vJVqY1GXIVQgoJRN8k0udICgnE78ODGC10bOv8ye4dk7AsrqTbfXTzOodvq7n5EsKLP/0EvdaLdFmtIpuZcq1jnz/Z++gd+x5/oHC31Yj6RhhmzsOq7X/Ts60Dmx2f0KuCDS3tc+L/8lKS8u6Ek1rmL7Ho2vg6rbxG03pF+HOdSFIPXb6pbPmmimF7rCVK24h8fHA52dpPraTq4zJQcpn0LJuXSxOheN7E3c+x5Csk0YgWt3Mi87Ot37BtAgGZSlF30uHE3SAqgWHKbyMdDikdhdCAb7g7O+Hn+ZHPLg+5deUGrz/58+Fr5HPTp2NZ1mxXfA6KWhvy8E1QxGcLl43l8MYVXLirLPDLN80nR8XYnTHDj9wEAfJkESmTH9pXkJh7RMC+iB15ChRizbrDTGsJk/bDuBmjyV9/aKxtedw5SL+Og8icAbz8YN8TzZ6rWEll85dgdHB8oX6eTGlakhmtQmmRhBNQb1ERMOF+ctpElqHYWIH+0xdodLScXOjicVmqFzKhQX70KG/HwzmQL5Fhl0IFY/yMrDEPeMKLrL14mmM4je8VRkD5bu6/g3pzBRYdvZIeDiUKPi+vIcuhhAb4cnHLHEwzmrF2520ABveogk3ZOgztOwWAGg5mNOs7nDw1emvcfmjAN87MbsO7Nx/Q01PRdtp2THMX486GAWzacBC1pETkblApG3+uuxmrhc+pqY1Zs9MZgN2HV6Nn90fSBp7OL+e500z2rl7FremSzhkAAEw9KHLwth4TDj1NUeMgXRQyqf64TM/QlHZ/FGPW4cTrTPTkAMwDlDDC5gGPCdEzx98gMn5F8bxQszCcX9Y3yf1NS5jZVsC8QBUsizWgxYKL1J3oxOxZ/WhR3Yoy7SeSxb461YpnZNJfrRm06+lPAibAw4VjkxrG6nipZ2xO/WknsbDIiLWtDaa5iwFQsscKhk4YQYXi2QA4fuUzgZ9jT+1cY+g6Zs3qB0DbJulzmBop0HgMAaEix3TMTxRg/lGRnVdFRm48lqatTxNLqt/JADzc8RfOx7fjODTpDquepmW4aH+I0q8Hk+/rvojry07ALW87ms2/GGO9rw9P8frqQUr3WhVn+4LHB4DI8BP/pwR6vmb/pA4cOPsWgDqlLciUKSPffPzo/vdpDMxzABD09T0dKpUHYM/dp6iMzKK1I0sSUmigRqajAZ9fEOT9AYtCNRPd77Q+f7o8vueOM9m5aiXOM+RE+cY91W8HgH3ILq31ycUNyk+GJQeO6kQMw/SdTDLg7/qYtcv/oXcN7UREkAR9AIxCPKJdz2oO3l+9Y66jDuXgwlHMWuiE69XtcbYven5C9EyiXiCVI0sSU1pVx+/LOyY2hyfzoVMZb8Tv7zl14yvf3z+IKPv6/EZK5RepWFDkyYGf8/UIoqixb4JxNrskCRhI+/Ony+Oz+2MspqbGrDqTuPrPDJRYhdrC1QvqzxPo3aOhTggYXSXVC5nLa0bSvKxAw7hDEmlMJn9lP+6cb3606yYGEBgUHGOd83PbcOyqB71qwb0TcQsZyTInkmXsOR/SIv6uT1nUqhBDq+Tm6tJOOG/oz/eAUPYOkpnWCuxzQtdqEKwWqVU6M5mL1o2o6+flTrG8AvWKSSxd9A9u13ZqtW9BX9/HXygKaX3+dHl8gijSpFMXVp9L3It6oeBdFArW3i5m9zUoYG1JmT5rtdZmWiTVC5mrVx/Rtrz2AtfpSQGUeDeBQm5Lo1030IMvX6NHh5QlieeOM9lz8BrnxoGlKVy7/jjO9mWr3Dp5FJFcBHl/ZHbXenz96suqbhLHD59n1sJDjG/6s1f/wZsS9dp1jlbfwMgEbz/oXAXsc8gM7TGC4G+uWutbh0rleXlkfvyFw0jr86fr47NtMISgUJERO0QCo7zzhYgZeWPZPuIkIibsQ3Zp9ahMkiFnTiuNkhX+P5Oqvx2/Dw/45BlChQLxl00Ith4bsfkSuSMJDIZZh0R+bxQZFcB5XR8m1rNm6ZwVHB6hBO+bcxgevIl5t/P/yLvza+hQoSx5MoXyaB40Kgl3Z8m4roDePwRYMDaA/UNh5dxlbOhenAAPJebZ20fOlLKWsMkK/02BvFkEfN9pR/urb2qJVUZYu3CZRuU/XNzA2nb5cNncTSv3Tyfh6BmbM2XPeZ55WVJsrMCxu4r5sK+xHc7WC7lqu+mX9SVUTcplTUxFpGoh4+/xiuyZRPS044z/E36BMPWAQP5hkDVnDsr2VnLWhPp5snrNYcY3CeXTcqhgB2oJrMyUWF1xEugX6YuQhvF+dpFh/aYCMKNVZNwpPZUS2VY/BmvjFmXh2QIZ6wxf6ft7Nf5b0oUTF57SvHSkcUqjkgKn10zRSh9FfSMmLp6NnXXmOMO4y5LEjbUDGNJnIi6+eclmm4bD1aSC59PYqgB/brxH75FDGLFDj6rTRYI+OFPepTs5vI7HWs9btI3wldEGjz6pyGlbWGvtpVVStZDJkLMw779IePpqv20vP2gwX+T6J0umrd9Ih5U3I8wT/d1eYGwg0LFy5IvMx6/K/7mr94izXdWbR6jeJHvg0xTnwdE1NC4lcmEClLHRvJ6hPqzoJnF+PLx2Pk//3wWKRXGy7V5Vwvmh9hTTuap0peeme3EeeQS4PWbuooMALFy4EAurtCtkUtPzadt4NNNOupDXxprqMwSkVyex8YxdJ3rReCEXjbUTViY4FM48UJO7ZNIMSf4fSNVCxjibHa0bFWHwP9rdyrz1gHKTBGzt7fhzvXNExN9wTPOVIjBE5uXnyGuHnaFqqRzxti0bmiAbpmyk1uREHRrMhwvr2bL9ArPbSFT/LXHtlLGBA0PUTGgafYdRMAcEBKk5MKIqQZ5vtdDj+DHJWZRl62eyatvfaX7+Utv4VHoGtFx4id/ssnLqQdxlzdUvMVdrx9v/lTsYGYhkLdVcK+2lZVK1kAGoNWwtx+6otbqb6b9FRa0aDjSZcz5WL/JMGVS4RwmFtfu6SPmGreNtW8pfNFo61rTA93e3ebB9NBu6l6BNUWtWTpvMhl5QNBmi7ZsYwr3ZYB78mkH1KuL5IPbjkdh4um8yHYrlxO265krgXFW6k7VMyzQ5f1FJjeMTRJFc1ta8+xJ3uRqBI6KlVE8Kc4+oqFTGWittpXVSvZAxssxP3cp5WHRcewq4AtlkQoJiyDMcxpUlnTHSlyIMDjx84P47ifx1+2utD6kBvw8PuLqsK8NaNOHKoZ3UtvXAfRU8nS/TPBlPlLJkVI7UWlcQ2T8/4Wmwczj8TlAIDOg6nCe7JyRDD9P51RiZZsA38Nco4R++h9MPJBpNTo+4rAmpXsgANB61mvXnZZ581E57/WtLbDr4FEkdGuPnly/eYFbrSGX20TtQ1SHLT97oaZnv7+/RpU499u89zdUpcHK0muENFOOHX8WC9hInb3xlcetChAZoHgvevEAV1uxSfBsmTN4YY9qCdFIX/j5emJskf/SS74EwYItItXL5MDBLZBKr/zPShJAxzVuSckUtefhBO+3lCUtJLwgxfz3ZrTLiFmVNO/VIhUPVGhq1LbrcicijnprxfqlEXb4zS9GTpASmRnB6LPz7wJdP1xLm/5DFoTG7bz9gzrxBWJVqpnG9tDJ/sZFax/f5w0ds4gmQe8J4IyeMNya4bS8/GL1LpMBwAfOeYGqeiRbzzyWyp/9/pAkhA2BiYoy3FiwvJQmOhrlhyHLMZq0OlWtw+blibBASZmViW6NzjGV/RAgNQQgNSXpHU5jHlxzpV0fAPIV1xHWKwua+MH/ctATrZ/RMLbH7Yyx6Rhk0rpNW5i82Uuv43rt6YxPPxiJIzEyQmFnjNv0Cocc6FfmGwLug3IxeuobdD9/Rc/OD9ECYCSBmrXYqJK99EZyffgIS7/1/4yX8uU5AX1+fxSvGxKr0z1+hCStX7mP4NoHzTwQK5zfVONWv2lZL8W9SGHPL7Ow8KbOiW8r7o3WtCipBZmzfnsw/disiuGZykFbmLzZS6/jeuAZhlz3uMnX9u2vcXqgaGi0UyZw1G2svHsHALJ7G04mVNLOTsa30B+ceJe1MdvIBEVubnEw48oq8tfvFWi5Tkd9ZsGMnPqZF6DhoKAO2x2M7GRV9A+VfKmfe38d474nW9GBJpVMVKJJb5M259cl7ozQyf7GSCscX7OOOf3D8+kBj2Qtj2UujNndfgyDZiPbLr6QLmCSikZARBMFIEIQbgiDcEwThkSAIU8Ou5xcE4bogCC8EQdgtCIJB2PUMgiAcEgThnCAIOcOuZRME4UhYG48FQTimzYFYFm+Em7fMJ82eoRixMIGCxYpqFIvIolB1Gs44hU2jkaj0UtcfpTbo2rwIoAS31BUsM0CATxIegHRSJQEeLmQzF7S6o/byA+t8Vmnmbzsl13BNdzJBQC1ZlksADkB9QRAqAHOBxbIs2wFeQLi7eydgDTAEGBx2bRpwWpblErIsFwb+0vDeGqHSM6BlfXsGbxWJI0JInDz6ADblGmizWz8huL5GcH2drPf4FTSZeZKsZgIPEhbEOFmpUEDNnUvJq5BNK/MXG6lxfB9vHaNA9viXsrsG/blroJmbgW8AGBunHqdUDUixNVwjISMrfA/7VT/snwzUAsIze20Bws10VCjKEQkIf7/IAUTYf8myfF+TeyeE+pMO8sJdj/03E1533hEB30CwLFZP292KhvjNA/GbR/wFdRxBFGnbshLTnXTnxDV/FvjuF7t/kzZIK/MXG6lxfFeOO9Klcvz5pN7q1+Wtft14yz14B0tPQslGnbTRPZ0gJddwjVcIQRBUgiDcBdyB08BLwFuW5XBnkg9ArrCft6NIv+XA32HXVgAbBEE4LwjC+PAtWGyont6I3tH3z5VrvpHHIYK3O6qnNyLevPSMzekyeCgGtRx/MlW8YLQQJ1PHaAHynuq3w8nUkaNf27HqrMDU7UfRE/RQPb2B+Pph9Pu73FHuHxIZZVlwfa3c39s9sqCvl1L//fOfxqN6egMpuzVSdmuNxwRASLDS5g+mpeLrh0r9KAENBY8PSn2PKPbcgX7JMqbaTUfReWx0h7RrhuNJKc49EShcInm91cPnLjHPJ6Czc5man8/8BUtiVt/xp2fPydQRJ1PHiN9LBK3ETP0GJ1NH3FSRhjpv9OriZOrIXYP+yDIM3CrSp19b8mYporPzFK3NGOYpJn71Gh7RP00KAciyrJZl2QHIDZQDYopKJYeV9ZZluYEsyzVlWf4Qdu0kYAOsA+yBO4IgxGPZnnCs6yg53AMSEHH/+H3oM6wvGfKU0HZ3fkK2yIpskbacuJ4lMF6lJMHX70pmQW3y3E0kt30p7Tb6A2lt7n4kNT6frh7f4y8EWIeewliOe5e26yp4+IoUaztNG13TKVJqDRdkOeEWWYIgTAb8gTFAdlmWQwVBqAhMkWVZo/MmQRCOAJtkWd4fw2fy/qeJj7T74cJ6Vk6bzNP5cY8tIBgazhfJlT8/LRZeTvT9/p85NbUR5t/vMrdd3N/1ow/w+COcfiTieFMiOOzdqWJBkYYlJHrXVCIwJ5ZQNeQbAtM3b09yiuV0UhdT6+djQ4+QBEX7jom912HgZpi66m+ylm6plb79alra50SW5XhNIJJ7DY+KptZlVoIgWIT9bAzUAZ4A54FWYcW6Ak5xtFFLEASTsJ8zArbAO03un1CC/bxx9Yp70fv4VREwmbJmo+ncs8nRjZjx9Yp3W5uayJw9D17+sT9G112gxkyRqtMENlzLRAbb6szduY+Nzp9Y8+8jKjRuz6LjKkqMVZJPSRIsOQ5BCfQHHLNbJG92k+QXMGls/n4iFY7P1EQPb//4y7mpykY7JouKtx/0Wg/T1qxKtQImLlJyDdfUGTMHsEUQBBWKYNojy/IRQRAeA7sEQZgB3AE2xNFGaWC5IAihYW2sl2U5ESr6+LEqWgOfgEWoJVCJii/Hvhvw5btABkOZk/cFXn6W6dCiFDXH7EH8hWaKqo8vAFDbl/tl90wuQgO/s3XLEYY1iDTne/heiZjgE6CYFG+6JFC7fjUG7Fj9U2w3fZNMFOs0n1kNBjK7Y3WWnAjhmSusOStTv4Tm5tH33sLuqzLzDp/W5vBiJC3NX0zhN3E3AAAbfUlEQVSktvGpg/158CqA0vnjL3vdSNHZ5HvUDBPDyHBIsgxd1og0qWmNVcmmydfZlCXF1nCNhEyYFUHJGK6/Qjnb06SN+YDmydSTgGlORflbZoJAiARffKBejUJkzpsDN093KtXIxIie8zG0zPcruhMN2dTil98zuRCQ8A2QuP1G5OoLiUPOIktPSLRpaI9xhox88vOlUYsClOm9MtboCQCGlvnoOnQoI4fNQwrbgO66KjClpWZHuQuPq2jTqipGlhqsNBrgcmgO65esZMqeCxhliX4Gk5bmLyZS2/jenllFkTwimUzj91vIFqqsh8O3C5x/LFOjsEitwhKvv4i89dRjwqZTyd3dFCMl1/BE6WSSm6TqZEB5y76zeTjmWfNg12y8Rg6W6SScUD9Pjk9vzcNHr8mV3YKmo5ZhXrBqgttRhwbjvH4gc5Ycibj2eSVkNY+7nocP/DYKFh04TIa8pRN835j4cvcIfdr1BmDbxYsYZ7PTSrvpaJ/tfUtTM58rA+O3TI7g8zcoOxEymxvhUDw/BoYG1ByyFsPMyZAA6RejqU7mV5JmhUw6qRNZkvC468SJ1TPw8vjMxQlxv6GuOwfHXLLTeY2zVvtxZnoTVm2/TcUiGRm88UKyxkNLJ3GEBn6nT6WCPJ4HOTIlrO7cwwKHH5gwfP+L5OlcCqGLQib99T4dnUIQlZS2HZdf5vYrKc6Mp0EhcPGZgG2R4lrvR61xBwG4+siXC8v6EOD2DO9nF7V+n3QSz6kZLchtKSRYwADU+E3mrZsG1gLpJJl0IfOLicmZKp2fURmY0KKuHQ3mC6w/r/jUdF0jUHKcIlx6bxQx7wX/PRcoVKud1u8vqvTo1syeUtbgdPQWnWrUpEfT9ml+/lLT+Dzc3OldU/OTmHDnzCcfoe8mgT/7tE3G3qUTTpoJ9Z9O2uOPWScpsGcyRy+dZsR2N0DGPxhshkHxgpnYdPFYsp2j+7s+5tpNF2a2hioFYcg/4BEUj4IonV9Kjry5+ezjHm+5D55QcQosDwsCUmOGwP/aO/PwKKqsD7+nu7MHEnbCIvsiKAZENnVk3GBEQIfVcWHUcWXTcUOcGRT9ZFVRxHFUVPwAQQEVh88NRQEhyCo7hD1AQiCQEBJC0t33+6MqpAMJCUm6O1Xc93n66apbt6rOr09Xnbpb3bsGXMuVd0/0r4EaQAeZgGOVrqGVAUdIOFfcPYEr7p7AXVlpSEgEyutl16LXaNH7GZyh/nuB4eE1X7P9kJuIEJixDFbtcfLsG6/a3n9W0peTlYVbOShpDikROHgc9iStIuaydry9PNGv/x1NYXSQ0VgCV1QN0jZ9w6ZvPqLtLXdz8PvXcUTXpmH3hyv8XL+98yAnUg/z5KM38uycJYSHCvc/dh+1O9xZ4efSlJ2Vq3cxb3jxAWZnMhw+YYyDaVLHQaNbhgfQOk0+OshoLMPu5V8w9cPlxC1YTnS4kJ4N7/5WsUEmc/8aJrxVeBrn9s1CuXzASxV6Hk358Lhz2X/UQ/MLzCd2//sOVu70UiMa7h18beCM0xRCN/wHGEfSzvPerKopHVf2f5aYSNg6ET4foQhxVvw5vnz1YZ7tLcwdDnHVhAcHXsXf3//67GBSu/vPKvpO7V9jdACZ7qC4URhxsUJcNQcP/a031z011zLa7IYOMgFGstKRrPRgm2FJImo1p03jSL7bCPGjoV2rmhV6/PUfjWTt5hQeu0nxwufCiOce57ax3xBZr2D6ALv7zyr60ravAGDmci9ZZ4rOc9+1Hg4f93I82ZhZzyra7IauLgswnvp69Hh56P/oCAaPGE+VCOjz2OgKOWZ28la+mfQIq9buYd5IGDQVDh1XtLzj/Llx7O4/q+iLqm28EiosBKLDi87z1Gxh/IRhtOj7PGAdbXZDB5lAU6UMI8c0Z2l86wjmbngAZ2hkhbwqKDt5O2MG96BHO8WalxVDZzipWbs6Lw+/v+gd7O4/i+jbk7AIgD5XO4HzZ8U8kQUHjima9hhakGgRbXZDBxmN5XCFR1fIcZTXy3sj+vCXbl5e7q84lQPfbPDw1tezClWRaSofyXt38drd8PCN5weYdxYLT89S9Ohc67w3f2sCj26TCTCSnlp4mlVN0Mjcv5Zlm07RuKYiJxeenu2gy5U1Lhhg7O4/K+g7czyJZav30bXF+VVlbg+MnquYNm8uf53+e6FtVtBmR3SQCTCOlH04UvYF2wwNEH1Ze54e1oOPV0ZR9W+QeLwK97723wvuY3f/WUHfqg+f5Ximl22Hi34PZFyssHruJM6k7S+UbgVtdkRXlwUYb0yJU2JrAoTD6aLrsI/o8riXvFPHCImuWWI7j939ZwV9nR+YyGfzu3DkpGBOSX8WlxN+GKUYMHUtqcn9+cs7BXNqWUGbHdFBJsCouJIn1nKdPkxeWF09B06AEIeD0Kq1S5W3NP6zMlbQt+fH97m8vjDq9qJH+zsc4PFCy/jC8wtZQZsd0XexSob7dAZ923fk9f6tOLT842Cbo9FUOvb+nsDNbbxIMbOm/PlNBx06xdPh/imBNUxTJDrIBJq8XONTDNmHt+EQWLE1i72/+X/Oes1FUoL/LI8F9LnCwnEX88qy9ftg/1HFzaPn4wg5p1eABbTZEV1dFmCcuzcAxb/tNqpRB/4xajAh4ZG07PNMIE3TlIKS/Gd1rKAvIroqx9LOb4/ZeABuGQfDRw4+P8BgDW12RJdkAoxyhaBcIcVud7pCuWrI67QZ9AquCD1/SWWjJP9ZHSvoa3PTXcxdef4Ly75cA71vacOV975W5H7K6SQvL4flr/+F5BUz/W2mxkSXZAKMt3n7YJugKQd2959V9EWFnV+SaVMflvySVGR+pzeb0UP7sfWAWV323s98vmXw2RefavyHLsloNBpLUbVJZxrXFuatKkjbkgRPzYKff88kJeHT8/bxeBV7U4wA06q+k3+N6q8DTIDQv7JGo7EUIVVq0rxpHQa8lczTveCp26DjP6FODFSLgpCoIqqZXVF8uHwDrqjqOrgEGF2SCTCOvZtx7N0cbDM0ZcTu/rOKvq6PTANg8iK44jljXMyiZ+Cxm4UlH75a5D7haam4DmwPpJkadJAJOHImGzmTHWwzNGXE7v6zir6qzbowYeJIAPI8cGNbaNsAht+q+H3jXmY/fg0pq+YU2scq2uyGDjIBxtO4LZ7GbYNthqaM2N1/VtLXvM9zvD51NBGhQrvLYNMBqBsLD98I8386xNAhfyd9x5Kz+a2kzU7oyslAEx4VbAs05cHu/rOYvka3DGN8884sn/4CN4/bTLtGThZv8tColpNbbmhNbKs/FmS2mDa7IKq4CbKDiIio+dsPB9sMjUZjIU4fSeTAis+of3VPoi+7uuQdbEi/1vVQShXzwp3goINMgJGjBwFQtRoE2RJNWbC7/+ysz87a8qmMQUa3yQQYR9phHGn2DKCXAnb3n5312VlbZUa3yQQYb416wTZBUw7s7j8767OztspMqUsyIhIrIvNEZLuIbBORriJSXUR+EJFE87uamdchIp+IyAoRaWumRYrILBHZJCKbRWS5iFTMZO0WQtVqYOviut2xu//srM/O2kpDsO7hF1Nd9ibwrVKqNXAVsA0YBfyolGoB/GiuA9wKrALuBJ4y00YCR5RSVyqlrgAeBPIu4vwajUajKTtBuYeXKsiISFXgD8B0AKVUrlIqHegLzDCzzQDuMJedgNf85DdCxQGH8o+plNqhlDpTmvPbipws46OxJnb3n5312VlbCQTzHl7aNpmmwFHgIxG5CliLEdXqKKWSzRMmi0j+HLbfATOB+4CHzbQPge9FpD9GxJyhlEos7oTO7b8VmvfBkbQTyUrHU78FVKkGgKSn4kjZhzemVsHUqnm5OHdvQLlCCr1R1rF3M3Im2xiMZfaXl6MHcaQdxlujXkExOicL574tqLBIvE2uKNh/13rEnYenWTyEhBr7J+/FkXEUb93GqFhTeuYJnIcSUVGxeBu2LKTHF0/rTrbRdK6ffPPYDee+LWeX9f/TGpry/VTIdzbRBOf894on4Pfws/aVlMHEBXQA/q2Uag9kUVCsOg+llFspNVgp1VUptclM22AKnQRUB1aLyOWlPL9tUGGRqLDIYJuhKSN2952d/58qLBLluGQ71AbtHl6qcTIiUhdIUEo1NtevNw1sDnQ3I2Ac8LNSqlWJBzSO8TawVyl13gxDdh4no9FoNP6iuHEygb6H+1KqsK6USgGSRCT/5DcBW4GFwBAzbQjw1QUMutan50Io0AbYX5rzazQajabsBPMefjHjZIYDs8yD7wHuxwhSn4nIg8ABYMAF9m8G/FtExNxvETD/Is6v0Wg0mrITlHu4fq1MgHHsWg9YZ5pbTWHs7j8767Oztnz0a2U0iDsPcevhQVbF7v6zs758bSmr5rD0tbtwZ6UF26RLAv1amQDjaRYfbBM05cDu/rOzPk+zeA4tm8HY58YQEQqR0aPp+Mh/gm2W7dFBJtCYfeM1FsXu/rOpvoxdy3m470DcHnA6oHoVF216Dw+2WZcEOshoNBrb4j6dwaIxffhkoTFm8KFB7TmVcYK+ry4iJLJakK27NNBBJsBI8l6AgpHFGsC4GXjzzhBatXbJmYOI3f1nN32zRnRn5e9HAJjz1QJCq9axjTaroBv+/YjyenHnnCqU5sg4iiPjaJAsKplDSz9k2eTBeHJOBvS8y6c+xF2d4sk9mRrQ814sld1/5cVO+lJWzWHN5iM8ehM8PLg94cphG21WQgcZP5C5ZxWfj+zKQ9c04N6OLRnToxE7F4wFwFu3Md66jQNiR17msYvKn5O2lwmj/sma5cuYem/H8wIkgDcvh62f/ZM5wzrz1qBWnDqwttx2Kq+XjDTj4k9Z+0W5j+dPAum/YGAXfWkbF/HS8Kd4/R6oEQ3HjqTaRpvV0ONkKpg9/zeZCWNe5/FbhIe6K2rHwLLt0O9NeHvRYiLj2gTEjsSF4xj17FTmrt2EK6pGifk9OSd594HOtK2VyZR7vNwxxUFMXFPunLy0UJ5ZI7pz6FAqf2qnOONWLN0VydB3FhJesymOkPCzeXMzktkwewwhYeG0+tOjHN2yhNMZx2h4TR+UOFg9cyzbN20hKyePpJQc3F5FxyYQ1+Iqeo79xi+/iebSIPdkCqN7d+SVfl5a1IVXvnKw55iLl77bF2zT/E5lHCejg0wF4XHncjp5G+Mf6M24/m76diy8/aZxDlq2a88t//rar3Z483Jwn07n06dvY+HSFEY90ZtrHv0P3rwcHCHhKK8Xr9eN02X0IspfXzppEIkbVvP1372EuCAjG7q+KHTs2Iq4Rk05mLiNJQn76NZS+OQRL5Fh4PHCPf92smi9h9YNw3nsjZnENOuGJ+ck04ZcQ7Qji9AQ4afNHprVcVC/urBih4c8D9xznYOe7bxUjYB61aB5Hdh1BLqMgUF3dCI7M4OsU6c4ciQdt9dLXq6XKtGhXNaoHjcOm0J0w6v8+jtqrMvnI7oSmZvEpLu8XPW80L9/d64Z8grhNezfFqODTCmxWpBxn87gnb92Yv3OTPp1dvLeAx5czsJ5jmRA91eEXn160faGvsS07wVA1oH15J1OJ7bVH8t8/q1zX+Dbz+YSWzWShE3HyM6F1vWF8QMVD00XQlwOko55qB5t/PcyshW9/tCQ9BMnOZSaxYFUN9HhsPplaOhT6Nl3FKb9IJzOE5rV9tIrHlrGnX9+rxcmLBIm/1fRon44JzLzaFtf8dlwLy4nKAUiBXlz8iAyrGgtCYnwxVqIi4GqEYY9oS7jcyIL/u93WJcUydNf7Crz71UuMk8Y31Vs2jPJ4vqyDqxn5J292P8mPPaxg5CaLeg9fomx0eLaSoMOMqXEKkHmxJYf+OTFoRxNz6FtPS9zhnlxXqCV69BxWNPwSwD2HFhFnQ69eGngDaSme/hDh9p06tGHRtcOJLRaQ1wRMaWyYdPMZ/jf92cz8S5F9hm44XJoUN3YJgJ5btiRDI1rGTfpPA9EhcHbP0D7RlAv1tjmVUaJojyczIZ1+yAiFDo25YK/RVlZvRv6veVg8uLtuMIDP3t3UfN52Amr60tdO593nh/JgpFern1JeHPx+rM9Fq2urTRUxiCjuzCXAeX1smnWM0x761PG/Nm4OfduX/JNtX51SHKv5vgpePWFceTkjWNkTwdP9oQFq1NZMP8jpkz8gOxc+OCnlYTVaFTssdw5p1gycTDzvl7Hd89Bh2JqAkJccEVDYzm6oMmEl/tfpOhSUDUSuvu5yalDE+jSXHixdxsefeFfNOj+N/+e8BxUVGxAzxdorK4vtnk3dh/xsusINKsfXqhLvNW1WRVdkjmHxK/+h2MHEun418mEVKlZaJvHncu6D4bx1bxvCXN5mPGIot1lZTuP22OULGpVPX9br8lOut4xhDaDXil2/0+HduLk0cPMeMRL3Uvs2lEKFqyGJ2cKTRtE0/3222l52zDCazQhJeFTXOFR1IzvE2wzNUEg92QqD1wXz+G3ockTMGXeF1Rp2jnYZgUMXZKp5Jw5nsTkV6ZxeX0hLXkwt7+6+Oy27OStzBo1iFMZJ3j7Pi9/bFPQzlAWXM6iAwzA7fEeFv/8bbFBJm3zt6xYd5CdkyEqvMgstkYE+nWC2+IVC9dmMuf7z5jyxqd0bhvLhh3peBX8Y1IKDbs/XPLBNJbnzPEklk0byuU33ElW2kE6t3ASG+XhX/2Esff35x/vzyam5fXBNvOSRZdkfFg3fThbf/mSKXd7uPYlqBLp4vpurbn1xW8ZdVMjerdXjB/kJdTPofnnrTB6QQRPf7G7yO2LX+6D89g6pt7n9a8hFiItE5ZshToxRilx4FR4fNhgWvZ4hIi6pZroT2NR5j3RjcSd+/AQRkyVUO7vmsl9ZkyZ9gO8+Z2TV79PLNTF3q5UxpKMLYOM8nrx5p7CERqNlGJO79NHd7Fu9lhmzlrMvJFwfWvjprXtMAx5V2jbqg5bdx4h8TVVrtILwFdRRsN/36w7is3z/k/w5ZYaPPjxprN6UhJmk7wtgTW/LGHd9hP8OgZa1C2fLXbmt90wZoGTlTs9tG0cxchZa0rdmeJC2L3x2Ir6HuhQj03j4YrnjI4tydMgJrJge5cXHQwY+jTNG3cDrKXtYqmMQabSVpe5HEX/Tu8NjOOh8dORpredTTu9dCzpCe8T92wSSZNa8Ownp8h1Q0QIvPfPzkQO+LLY84Sc3MHzA7vTrQXMf9LBdW2NHks1qsN11eH70TlM/jqFqf8IQ0KL6XdbFkKKritLSXczcdFpho0ZfvY3OPrLG7wz9jU6N4fB8fD50CiqRDiL3F9j0Kk1fDMacvMUfSZk4kqciyv+kXIfN/+RrLj/p9Wxor42DYSa1aIZ0OUUv+5QRERVAVeB/f06nsSdshHMIGMlbRdDZSwwQCUuyQTbBo1Go7Eg+5VSjYNthC+VMshoNBqNxh7oF2RqNBqNxm/oIKPRaDQav6GDjEaj0Wj8RqUIMiLSU0R2iMguERllprUVkZUiMkNEKoWdJSEisSIyT0S2i8g2EekqItVF5AcRSTS/q5l5HSLyiYisEJG2Zlp3EckQkQ0+n5uDqOdDEUkVkc0+aZNMfRtF5AsRifXZ9rzpwx0i0sMnfbCIrBORJ3zS9onIJh+dbwVZV7yIJJi2rBGRTma6iMhbpq6NItLBZ58nTV2DzPU3ztH4nYh84LP+moj8PUj6yu03ERkpIlN8tv9HRBb7rA8PpB/Nc5b3mlsvIvHmsktEskTkHp/jr/X1uaYMKKWC+gGcwG6gKRAK/A60AaYDtYDhQM9g21lKLTOAv5nLoUAsMBEYZaaNAiaYyz2BoUAd4EMzrTvw32Dr8NHzB6ADsNkn7VbAZS5P8NHTxvRdGNDE9KnT3Pal6ec5QLSZtg+oWYl0fQ/8yVy+DfjZZ/kbQIAuwCozPRqYjTEM4CszbQDwmbnsANYCK33OsRLobFW/AdcAv/kccxWw2if/p8CgAPuyvNfcNOBxc/lqYB3wjrkeBZzI16c/ZftUhhJCJ2CXUmqPUioX4w/dF+PPrQAvxgVeqRGRqhgX93QApVSuUiodQ8sMM9sMIH8UphNDW6XVp5RaChw/J+17pZTbXE0AGpjLfYE5SqkzSqm9wC4M30KBPkUl0FqULgzb8gcvxQD5o4H7Ap8ogwQgVkTiKKwpn1+BbuZyW2AzkCki1UQkDLgcWF+hYorAj35bD7QUkQgRiQGygQ3AlWa+bsAKP0gqkgq65nx91g14F4g31zsB65RSHj/KsD2VIcjUB5J81g+aaW8Ci4CuGE+ZlZ2mwFHgI7MI/oGIRAF1lFLJAOZ3/mthvwNuABYCr/sc5/pzqsuaBVDDxfIAxlM+FO9HgAXAGmCNUirTJ88SH51P+t3aC/MEMElEkoDJwPNmepG6TB2bMHTNBVBKHQbcInIZxg1rJcbTflegI7DRfJAKNmXymxmkNmCUaLpgaEsAuolIPYwhEb7H8jcVcc2toHCQWQqcEZEq5vqvAVFiYyrDiP+inmyVUmo9YKXXp7owqiiGK6VWicibGEX1IjEv2MFFbFqmlLrdTzZWGCLyAuAGZuUnFZFNASilZlDwZOnLH5VSx/xj4UXzGPCkUmq+iAzEeDq+mQvrGgeMO2db/pNxN4wbWX1zOYMAPuUXRwX4LV9fBEYQTQRGY9zsA62v3NecUmqfiISKSF2gNbADowqwM4bOqf4y/lKhMpRkDgINfdYbUFBVYSUOAgeVUqvM9XkYF8ARs3oF8zs1SPZVGCIyBLgduFsplV9dZHU/DsF4cgf4nIIqo4vVlf9kfCVGdVkCRkkm6E/FFeS3fH1dMYLMNox2nWDoq6hrbiXQH0g2f5cE4FqM/0CCPwy/lKgMQWY10EJEmohIKMaTxsIg23TRKKVSgCQRyX/l703AVgwtQ8y0IcBXQTCvwhCRnsBzQB+lVLbPpoXAYBEJE5EmQAvgt2DYWEYOY1SlANyI8YQOhq77zF5mXYCM/KqYYvgV40Z+XCnlUUodx2iMzr8pB4UK9NsKjKqyWkqpVPOmfBSjHSSgJZkKvOZ+BZ6kwD8rgfuAFLONR1Megt3zwHygug3YidGz5YVg21MOHfEYddgbMXrmVANqAD9i3LR+BKpfYP/uGNUqG3w+/YOo51MgGcjDeGp8EKNhOMnHvnd98r9g+nAHZk+tCxx7H0abRv5xPgmyrusweoP9jtHWcLWZVzB6IO027e1YwrGdwEngFZ+0j4EddvCbmX8LMNNn/UXgFGbvtQD/R8t1zZnHuAajivDmc/6f/wm0Hjt+9LvLNBqNRuM3KkN1mUaj0Whsig4yGo1Go/EbOshoNBqNxm/oIKPRaDQav6GDjEaj0Wj8hg4yGo1Go/EbOshoNBqNxm/oIKPRaDQav/H/Qz2dG3WXKkkAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection=ccrs.Mercator(\n", " central_longitude=180.0, min_latitude=-70.0, max_latitude=70.0, globe=None))\n", "San_lat=33\n", "San_lon=243 # takes the west longitude and converts to 0=>360\n", "gamma=15.\n", "\n", "\n", "PTS=np.array(pts_on_a_plane([San_lon,San_lat],gamma)) #making an array lets us transpose later\n", "\n", "\n", "gl=ax.gridlines(crs=ccrs.PlateCarree(),linewidth=2,linestyle='dotted',draw_labels=True)\n", "gl.xlabels_top = False\n", "gl.ylocator=mticker.FixedLocator(np.arange(-90,91,30))\n", "gl.xlocator=mticker.FixedLocator(np.arange(-180,180,60));\n", "gl.xformatter = LONGITUDE_FORMATTER\n", "gl.yformatter = LATITUDE_FORMATTER\n", "ax.add_feature(OCEAN,color='lightblue')\n", "ax.add_feature(LAND,color='orange')\n", "ax.add_feature(LAKES,color='lightblue')\n", "ax.plot([San_lon],[San_lat],marker='*',color='white',\\\n", " markersize=20,transform=ccrs.Geodetic(),markeredgecolor='black')\n", "\n", "x,y=PTS.transpose()[0],PTS.transpose()[1] # this way, I can plot them as x and y arrays.\n", "ax.plot(x,y,'r.',markersize=3,transform=ccrs.Geodetic())\n", "\n", "\n", "# same for some point in Siberia (90,50)\n", "\n", "ax.plot([90],[50],marker='*',color='white',\\\n", " markersize=20,transform=ccrs.Geodetic(),markeredgecolor='black')\n", "PTS=np.array(pts_on_a_plane([90,50],gamma)) \n", "x,y=PTS.transpose()[0],PTS.transpose()[1] # this way, I can plot them as x and y arrays.\n", "ax.plot(x,y,'r.',markersize=3,transform=ccrs.Geodetic())\n", "\n", "\n", "\n", "\n", "ax.set_global()\n", "ax.coastlines();\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Compare that with the distortion of a Mollweide projection:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "ax = plt.axes(projection=ccrs.Mollweide(central_longitude=180))\n", "San_lat=33\n", "San_lon=-117%360 # takes the west longitude and converts to 0=>360\n", "gl=ax.gridlines(crs=ccrs.PlateCarree(),color='black',linewidth=1,linestyle='dotted')\n", "gl.xlabels_top = False\n", "gl.ylocator=mticker.FixedLocator(np.arange(-90,91,30))\n", "gl.xlocator=mticker.FixedLocator(np.arange(0,400,30));\n", "gl.xformatter = LONGITUDE_FORMATTER\n", "gl.yformatter = LATITUDE_FORMATTER\n", "ax.add_feature(OCEAN,color='lightblue')\n", "ax.add_feature(LAND,color='orange')\n", "ax.add_feature(LAKES,color='lightblue',linewidth=1)\n", "ax.plot([San_lon],[San_lat],marker='*',color='white',\\\n", " markersize=20,transform=ccrs.Geodetic(),markeredgecolor='black')\n", "PTS=np.array(pts_on_a_plane([San_lon,San_lat],gamma))\n", "x,y=PTS.transpose()[0],PTS.transpose()[1] # this way, I can plot them as x and y arrays.\n", "ax.plot(x,y,'r.',markersize=3,transform=ccrs.Geodetic())\n", "\n", "\n", "# same for some point in Siberia (90,50)\n", "\n", "ax.plot([90],[50],marker='*',color='white',\\\n", " markersize=20,transform=ccrs.Geodetic(),markeredgecolor='black')\n", "PTS=np.array(pts_on_a_plane([90,50],gamma))\n", "x,y=PTS.transpose()[0],PTS.transpose()[1] # this way, I can plot them as x and y arrays.\n", "ax.plot(x,y,'r.',markersize=3,transform=ccrs.Geodetic())\n", "\n", "ax.set_global()\n", "\n", "\n", "ax.coastlines();\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One squishes horizontally while the other squishes vertically. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One more thing - recall the lecture when we looked at P and S wave arrivals and calculated the great circle distance between the source and receiver? There was this map: " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Image(filename='Figures/greatCirc.png')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now you can make this map yourself putting together tricks from finding the pole to two vectors, finding the great circle using spherical trigonometry and plotting the line on a Mollweide projection. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def find_pole(pt1,pt2):\n", " \"\"\"\n", " Calculate the pole for two vectors\n", " \n", " inputs:\n", " pt1- [Azimuth, plunge] a list containing the azimuth\n", " and plunge of the first point\n", " pt2- [Azimuth, plunge] a list containing the azimuth \n", " and plunge of the second point\n", " returns:\n", " [Azimuth, plunge] of the pole \n", " \"\"\"\n", " vec1=nets.dir2cart(pt1)\n", " vec2=nets.dir2cart(pt2)\n", " pole=np.cross(vec1,vec2)\n", " return nets.cart2dir(pole)\n", "\n", "def great_circle(lat_1,lon_1,lat_2,lon_2):\n", " \"\"\"\n", " inputs:\n", " lat_1 - latitude of the starting point in degrees\n", " lon_1 - longitude of the starting point in degrees\n", " lat_2 - latitude of the ending point in degrees\n", " lon_2 - longitude of the ending point in degrees\n", " \n", " returns:\n", " great circle distance between the two points\n", " \n", " \"\"\"\n", " # first we have to convert the latitudes to colatitudes:\n", " colat_1,colat_2=90.-lat_1,90.-lat_2\n", " # and alpha is the difference betwee the two longitudes\n", " alpha=(lon_2-lon_1)%360\n", " # Then lets make life easy on us and convert degrees to radians\n", " colat_1,colat_2,alpha= np.radians(colat_1),\\\n", " np.radians(colat_2),np.radians(alpha)# continued line from above\n", " a=np.arccos(np.cos(colat_1)*np.cos(colat_2)+np.sin(colat_1)*np.sin(colat_2)*np.cos(alpha))\n", " # remember to convert back to degrees! \n", " return np.degrees(a) \n", "\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(1,(10,5)) # make a nice big plot\n", "\n", "PF_lat,PF_lon=33.3,-115.7\n", "EQ_lat,EQ_lon=-43.42,-73.95\n", "lons=[EQ_lon,PF_lon]\n", "lats=[EQ_lat,PF_lat]\n", "\n", "\n", "ax = plt.axes(projection=ccrs.Mollweide(central_longitude=0))\n", "ax.add_feature(OCEAN,color='lightblue')\n", "ax.add_feature(LAND,color='ivory')\n", "\n", "ax.plot([EQ_lon],[EQ_lat],marker='*',color='red',\\\n", " markersize=20,transform=ccrs.Geodetic(),markeredgecolor='black')\n", "ax.plot([PF_lon],[PF_lat],marker='s',color='red',\\\n", " markersize=10,transform=ccrs.Geodetic(),markeredgecolor='black')\n", "\n", "pole= find_pole([EQ_lon,EQ_lat],[PF_lon,PF_lat])\n", "pts=pts_on_a_plane(pole,90.)\n", "newx,newy=[],[]\n", "\n", "for pt in pts: \n", " if PF_lon%360