2555 lines
1.1 MiB
2555 lines
1.1 MiB
{
|
||
"cells": [
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"# Tools - matplotlib\n",
|
||
"\n",
|
||
"*This notebook demonstrates how to use the matplotlib library to plot beautiful graphs.*"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Plotting your first graph"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"First we need to import the `matplotlib` library."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 1,
|
||
"metadata": {
|
||
"collapsed": true
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"import matplotlib"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"Matplotlib can output graphs using various backend graphics libraries, such as Tk, wxPython, etc. When running python using the command line, the graphs are typically shown in a separate window. In a Jupyter notebook, we can simply output the graphs within the notebook itself by running the `%matplotlib inline` magic command."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"%matplotlib inline\n",
|
||
"# matplotlib.use(\"TKAgg\") # use this instead in your program if you want to use Tk as your graphics backend."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"Now let's plot our first graph! :)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 3,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAWoAAAEACAYAAACatzzfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10a955450>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"import matplotlib.pyplot as plt\n",
|
||
"plt.plot([1, 2, 4, 9, 5, 3])\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"Yep, it's as simple as calling the `plot` function with some data, and then calling the `show` function!\n",
|
||
"\n",
|
||
"If the `plot` function is given one array of data, it will use it as the coordinates on the vertical axis, and it will just use each data point's index in the array as the horizontal coordinate.\n",
|
||
"You can also provide two arrays: one for the horizontal axis `x`, and the second for the vertical axis `y`:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 4,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": true
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAWoAAAEACAYAAACatzzfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\njqAGgIwjqAEg4whqAMi4/wdVsJdm7PW8ggAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10a9b1e90>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.plot([-3, -2, 5, 0], [1, 6, 4, 3])\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"The axes automatically match the extent of the data. We would like to give the graph a bit more room, so let's call the `axis` function to change the extent of each axis `[xmin, xmax, ymin, ymax]`."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 5,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAWoAAAEACAYAAACatzzfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10ab089d0>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.plot([-3, -2, 5, 0], [1, 6, 4, 3])\n",
|
||
"plt.axis([-4, 6, 0, 7])\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"Now, let's plot a mathematical function. We use numpy's `linspace` function to create an array `x` containing 500 floats ranging from -2 to 2, then we create a second array `y` computed as the square of `x`."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 6,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEACAYAAABWLgY0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIqYkLyJSxJTkRUSKmJK8iEgR+/9JZLyXtkE0oAAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10abc7e90>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"import numpy\n",
|
||
"x = numpy.linspace(-2, 2, 500)\n",
|
||
"y = x**2\n",
|
||
"\n",
|
||
"plt.plot(x, y)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"That's a bit dry, let's add a title, and x and y labels, and draw a grid."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 7,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEZCAYAAACNebLAAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBWGMMSYlqyCMMcakZBWEMcaYlP4/bKA7vZdJjDAAAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10acdc350>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.plot(x, y)\n",
|
||
"plt.title(\"Square function\")\n",
|
||
"plt.xlabel(\"x\")\n",
|
||
"plt.ylabel(\"y = x**2\")\n",
|
||
"plt.grid(True)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Line style and color"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"By default, matplotlib draws a line between consecutive points."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 8,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAEACAYAAACj0I2EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10a94b790>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.plot([0, 100, 100, 0, 0, 100, 50, 0, 100], [0, 0, 100, 100, 0, 100, 130, 100, 0])\n",
|
||
"plt.axis([-10, 110, -10, 140])\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"You can pass a 3rd argument to change the line's style and color.\n",
|
||
"For example `\"g--\"` means \"green dashed line\"."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 9,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAEACAYAAACj0I2EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10af610d0>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.plot([0, 100, 100, 0, 0, 100, 50, 0, 100], [0, 0, 100, 100, 0, 100, 130, 100, 0], \"g--\")\n",
|
||
"plt.axis([-10, 110, -10, 140])\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"You can plot multiple lines on one graph very simply: just pass `x1, y1, [style1], x2, y2, [style2], ...`\n",
|
||
"\n",
|
||
"For example:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 10,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAEACAYAAACj0I2EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10affc610>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.plot([0, 100, 100, 0, 0], [0, 0, 100, 100, 0], \"r-\", [0, 100, 50, 0, 100], [0, 100, 130, 100, 0], \"g--\")\n",
|
||
"plt.axis([-10, 110, -10, 140])\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"Or simply call `plot` multiple times before calling `show`."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 11,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAEACAYAAACj0I2EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10b083910>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.plot([0, 100, 100, 0, 0], [0, 0, 100, 100, 0], \"r-\")\n",
|
||
"plt.plot([0, 100, 50, 0, 100], [0, 100, 130, 100, 0], \"g--\")\n",
|
||
"plt.axis([-10, 110, -10, 140])\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"You can also draw simple points instead of lines. Here's an example with green dashes, red dotted line and blue triangles.\n",
|
||
"Check out [the documentation](http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.plot) for the full list of style & color options."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 12,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEACAYAAABI5zaHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngv4/zWsyiRSjbi4AAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10af4e990>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x = numpy.linspace(-1.4, 1.4, 30)\n",
|
||
"plt.plot(x, x, 'g--', x, x**2, 'r:', x, x**3, 'b^')\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"The plot function returns a list of `Line2D` objects (one for each line). You can set extra attributes on these lines, such as the line width, the dash style or the alpha level. See the full list of attributes in [the documentation](http://matplotlib.org/users/pyplot_tutorial.html#controlling-line-properties)."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 13,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": true
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEACAYAAABI5zaHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nHqTgLiLiQQruIiIe9P8Bt68WcL6/RNAAAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10acd4490>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x = numpy.linspace(-1.4, 1.4, 30)\n",
|
||
"line1, line2, line3 = plt.plot(x, x, 'g--', x, x**2, 'r:', x, x**3, 'b^')\n",
|
||
"line1.set_linewidth(3.0)\n",
|
||
"line1.set_dash_capstyle(\"round\")\n",
|
||
"line3.set_alpha(0.2)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Saving a figure\n",
|
||
"Saving a figure to disk is as simple as calling [`savefig`](http://matplotlib.org/api/pyplot_api.html#matplotlib.pyplot.savefig) with the name of the file (or a file object). The available image formats depend on the graphics backend you use."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 14,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": true
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEACAYAAABWLgY0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x109cf21d0>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x = numpy.linspace(-1.4, 1.4, 30)\n",
|
||
"plt.plot(x, x**2)\n",
|
||
"plt.savefig(\"my_square_function.png\", transparent=True)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Subplots\n",
|
||
"A matplotlib figure may contain multiple subplots. These subplots are organized in a grid. To create a subplot, just call the `subplot` function, and specify the number of rows and columns in the figure, and the index of the subplot you want to draw on (starting from 1, then left to right, and top to bottom). Note that pyplot keeps track of the currently active subplot (which you can get a reference to by calling `plt.gca()`), so when you call the `plot` function, it draws on the *active* subplot.\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 15,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": true
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEACAYAAABVtcpZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMAzDKGPMCBiGYZQxZgQMwzDKmP8Pl7YRbugR7JEAAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x109cf2110>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x = numpy.linspace(-1.4, 1.4, 30)\n",
|
||
"plt.subplot(2, 2, 1) # 2 rows, 2 columns, 1st subplot = top left\n",
|
||
"plt.plot(x, x)\n",
|
||
"plt.subplot(2, 2, 2) # 2 rows, 2 columns, 2nd subplot = top right\n",
|
||
"plt.plot(x, x**2)\n",
|
||
"plt.subplot(2, 2, 3) # 2 rows, 2 columns, 3rd subplot = bottow left\n",
|
||
"plt.plot(x, x**3)\n",
|
||
"plt.subplot(2, 2, 4) # 2 rows, 2 columns, 4th subplot = bottom right\n",
|
||
"plt.plot(x, x**4)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"* Note that `subplot(223)` is a shorthand for `subplot(2, 2, 3)`."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"It is easy to create subplots that span across multiple grid cells like so:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 16,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEACAYAAABVtcpZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nvCTeAAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10a9af390>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.subplot(2, 2, 1) # 2 rows, 2 columns, 1st subplot = top left\n",
|
||
"plt.plot(x, x)\n",
|
||
"plt.subplot(2, 2, 2) # 2 rows, 2 columns, 2nd subplot = top right\n",
|
||
"plt.plot(x, x**2)\n",
|
||
"plt.subplot(2, 1, 2) # 2 rows, *1* column, 2nd subplot = bottom\n",
|
||
"plt.plot(x, x**3)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"If you need more complex subplot positionning, you can use `subplot2grid` instead of `subplot`. You specify the number of rows and columns in the grid, then your subplot's position in that grid (top-left = (0,0)), and optionally how many rows and/or columns it spans. For example:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 17,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEACAYAAABWLgY0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10b3ce590>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.subplot2grid((3,3), (0, 0), rowspan=2, colspan=2)\n",
|
||
"plt.plot(x, x**2)\n",
|
||
"plt.subplot2grid((3,3), (0, 2))\n",
|
||
"plt.plot(x, x**3)\n",
|
||
"plt.subplot2grid((3,3), (1, 2), rowspan=2)\n",
|
||
"plt.plot(x, x**4)\n",
|
||
"plt.subplot2grid((3,3), (2, 0), colspan=2)\n",
|
||
"plt.plot(x, x**5)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"If you need even more flexibility in subplot positioning, check out the [GridSpec documentation](http://matplotlib.org/users/gridspec.html)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Multiple figures\n",
|
||
"It is also possible to draw multiple figures. Each figure may contain one or more subplots. By default, matplotlib creates `figure(1)` automatically. When you switch figure, pyplot keeps track of the currently active figure (which you can get a reference to by calling `plt.gcf()`), and the active subplot of that figure becomes the current subplot."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 18,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": true
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEKCAYAAAD3tSVSAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10b3e1450>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAlgAAAFCCAYAAAAtw6O8AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCfv/ST5WQayPGrYAAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10ae1b610>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x = numpy.linspace(-1.4, 1.4, 30)\n",
|
||
"\n",
|
||
"plt.figure(1)\n",
|
||
"plt.subplot(211)\n",
|
||
"plt.plot(x, x**2)\n",
|
||
"plt.title(\"Square and Cube\")\n",
|
||
"plt.subplot(212)\n",
|
||
"plt.plot(x, x**3)\n",
|
||
"\n",
|
||
"plt.figure(2, figsize=(10, 5))\n",
|
||
"plt.subplot(121)\n",
|
||
"plt.plot(x, x**4)\n",
|
||
"plt.title(\"y = x**4\")\n",
|
||
"plt.subplot(122)\n",
|
||
"plt.plot(x, x**5)\n",
|
||
"plt.title(\"y = x**5\")\n",
|
||
"\n",
|
||
"plt.figure(1) # back to figure 1, current subplot is 212 (bottom)\n",
|
||
"plt.plot(x, -x**3, \"r:\")\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Pyplot's state machine: implicit *vs* explicit\n",
|
||
"So far we have used Pyplot's state machine which keeps track of the currently active subplot. Every time you call the `plot` function, pyplot just draws on the currently active subplot. It also does some more magic, such as automatically creating a figure and a subplot when you call `plot`, if they don't exist yet. This magic is convenient in an interactive environment (such as Jupyter).\n",
|
||
"\n",
|
||
"But when you are writing a program, *explicit is better than implicit*. Explicit code is usually easier to debug and maintain, and if you don't believe me just read the 2nd rule in the Zen of Python:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 19,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"The Zen of Python, by Tim Peters\n",
|
||
"\n",
|
||
"Beautiful is better than ugly.\n",
|
||
"Explicit is better than implicit.\n",
|
||
"Simple is better than complex.\n",
|
||
"Complex is better than complicated.\n",
|
||
"Flat is better than nested.\n",
|
||
"Sparse is better than dense.\n",
|
||
"Readability counts.\n",
|
||
"Special cases aren't special enough to break the rules.\n",
|
||
"Although practicality beats purity.\n",
|
||
"Errors should never pass silently.\n",
|
||
"Unless explicitly silenced.\n",
|
||
"In the face of ambiguity, refuse the temptation to guess.\n",
|
||
"There should be one-- and preferably only one --obvious way to do it.\n",
|
||
"Although that way may not be obvious at first unless you're Dutch.\n",
|
||
"Now is better than never.\n",
|
||
"Although never is often better than *right* now.\n",
|
||
"If the implementation is hard to explain, it's a bad idea.\n",
|
||
"If the implementation is easy to explain, it may be a good idea.\n",
|
||
"Namespaces are one honking great idea -- let's do more of those!\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"import this"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"Fortunately, Pyplot allows you to ignore the state machine entirely, so you can write beautifully explicit code. Simply call the `subplots` function and use the figure object and the list of axes objects that are returned. No more magic! For example:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 20,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": true
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAmAAAAE4CAYAAAD8Xk/XAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd4VNXWxt8DoVfpPfTQEzqGNvSmYkdEaV5EFNGr2P3U\nq9deriIKKkWKNDuidBh6J4QigYROKNJr+qzvj5UJSebMzOnnTLJ/zzMPzMw5e+/ZOWWdtd61tkRE\nEAgEAoFAIBBYRwG7ByAQCAQCgUCQ3xAGmEAgEAgEAoHFCANMIBAIBAKBwGKEASYQCAQCgUBgMcIA\nEwgEAoFAILAYYYAJBAKBQCAQWIwhBpgkSVMlSTorSdLuANtMkCQpXpKkXZIkRRnRr0AgEAgEAkEo\nYpQHbDqAPv6+lCSpH4B6RNQAwGgAkw3qVyAQCAQCgSDkMMQAI6L1AC4F2GQggJmZ224BUEaSpMpG\n9C0QCAQCgUAQalilAasO4ES294mZnwkEAoFAIBDkO4QIXyAQCAQCgcBiwizqJxFAzWzva2R+5oMk\nSWJxSoFAIBAIBCEDEUlq9zHSAyZlvuRYCGAoAEiS1AHAZSI6668hIsrxSk4mtGxJ+PprgstFmD6d\nfLZxzOv8eVB4OOjzz0HJyVmfnz94AWUK38DsFh/i4rl0fPwx4d57lbX55ptv2v+7dL5OnCBUrEjY\nvPnWZ4cOERo1Ijz7LCE9XX2btszL1augV14BlSsHGjkStGYNKCMj+H4XLoBmzAANGACqUAH06qug\nU6dMGaOTjpeMDMKmTYTXXyd06UIoUYIQFUUYNozw2WeERYsIu3cTLl0ieDzmjsXMeUlLIxw5Qli5\nkvDVV4TRownt2/PvbduW8PzzhOXLCamp9v9NTJ+Ty5dBH38MqlkT1Lkz6OuvQSdPKts3Jgb07LOg\nihVBjz0GOnMmZObliy8IVavmvMYdO0aoVImwdav9f2ur5uWllwijRhFu3CD8PmAyqhf5Bzv/zHat\nS08HLVjA18EDB2z/Tf5e69cTatfma1T16oRz5/xvqxkjBgpgDoBTAFIAHAcwApzt+Hi2bSYCSAAQ\nC6BVgLYoN+PHEw0cSOTxEK1eTVSvHlFams9m9pORQdS/P9G//+3z1eefEz38UAZRt25EL71EN24Q\nVatGtH178GaHDRtm/FgtJCODqEcPov/+1/e7ixeJ2rcnmjhRfbuWz8u8efxHGzqUKDFRezsHDxI9\n9RRRuXJEr7xCdPWqcWMkZxwv27cTPfkkUdWqRE2aEL30EtGSJYb/VFXYMS9JSURr1hD95z9E7drx\nn/zRR4lWruTzwm4MnZOUFKL//Y+oYkWiwYOJtm3T3tbly0TPP09UvjzRZ59ZPllq52XZMqLatYmO\nHPH9bv58ooYNiW7cMGRothJsXk6fJrrtNqLjx4nou++IGjakt16+SU89JbPxpElEzZs7dmJ69eKf\nQMSHotcGkSPTblFvO2nZycxXbgNsyxai6tWJzp279ZnLRTR9upIptJj33iOKjiZKTc3xscfDx9nK\nlcQ/pE4dojlzaOJEon79gjfrhBuqHr74gqhDB/9G886dRFWqEF27pq5dy+YlJYVo7Fii+vWJNm82\nrt2TJ9mYq1qVD2h/Z7dK7DpekpP5gtWqFd+M3nmH6MABW4YiixPOoxMn+Hxo3pwPp48+Irpyxb7x\nGDYnixcTNWhA1Lcv0b59xrRJxAdQhw5897t82bh2g6BmXjIyiFq3JlqwwP82Dz9M8kZIiBFsXsaN\nI3rmGSLasIEN8f376dgxfvC4eTPXxh4P0ZAhRCNGmDVczaxfz9ewlBR+n5LC17UffpDfPs8aYP/5\nDz89Z8eRXrBt24gqV+YrbC62bmWbK+shLjaWqFw5Sjl2msLD+Y8diNWrVxs9Wss4dowfYuPjA2/3\n0EPyHrJAWDIvp08TdepEdMcdRJcumdPH1q18dvftK3v8qMXq4yUpieirr4hq1iTq04c9XU7w7uTG\nSeeRx8O2/ODBRBUqsLFqoX2Rhe45uXSJb6C1axP99ZchY/IhOZlozBh2I/39tzl95ELNvCxYwAZY\noGP+4kU+P9at0z82Owk0L15D68yxZKLwcKKFC7O+693bj/Fy7RpR48bsJnQQPXve8n55mTKF7UU5\n8qwB1r8/0S+/+P7g6Ogcf1/7ueceogkTZL8aPZovsDl45hmiZ5+lqVOVecFClTffZOdRMOLj2VA7\nf970ISknMZGf6l9/3XyLIjWV6O23+W48a5a5fRnIH3/ww0X//sY6B/MTcXEclqxcmS/yTjReZVm5\nkq2KMWPUu6+1MHUqu8p37za/L4WkpvIlYtmy4Nt+8QUb3HmVceMynSVff+1zU5s/n9U3sixZQtSs\nmWERAL3ExbHSxOv98rJnD3ut5ciTBpjHwzdlObnN66/zyxHExbG79fp1n69u3OCYuI9jIzNYfiXu\nFJUsyV4EfzjpyV0NGRlEtWoRxcQo2/6JJ1jvpxRT5+XUKaKICA4rW0lMDD/pjxol47NXhhXHy7Fj\nRHfeyUNVcvNxAk4/j3bs4Ghb+/ZEu3ZZ06emOUlP59BE1apES5caPqaAzJvHRtiePaZ2o3RevvmG\n9a1KOH+eqEwZ9oaFKoHmpUEDotityUQ1arBXPxvJyfxsmZAgs6PHQxQZaZ4HVSUzZhANGuT7eXo6\nUalS8k4CrQaYo+uAHT4MFCsGVKvm+13r1sCOHdaPSZZPPgGefBIoUcLnq59+Am6/HahRI9cXVaoA\nI0ei9MT30LQpsGmTNUO1kpUrgQoVgCiFK3/+3/8BU6cC586ZO66g/PMP0L078MgjwCuvWNt3VBSw\nfTtw7RofOIcOWdu/An78EWjTBmjfHti9G+jVy+4R5Q1atQI2bABGjeI5/fxzgJxWlOf8eaB/fz65\nd+wAeve2tv9Bg4DPPuN+9++3tu9cZGQA77wDvPeesu3Llwf69gXmzDF3XHZw4gRw6RLQbOO3QMuW\nQNu2Ob4vUgQYMgSYPl1mZ0kCXnwR+PBDawYbhB072L7ITcGCfN3butXAzrRYbWa+kM0D9sMPRPfd\nJ2+lHj9OVKmSA7yWp04RlS1L9M8/sl/feSfRnDl+9j17lqhcOXrlqSvO8eYZyKBB6rMbBw8m+vJL\nc8ajiJQUos6diV5+2cZBEB/YEydyXMohnpubN4n+9S92w+tJcBME59Ah9oT16+f30mI9+/YR1a1L\n9MIL9gtwp01jIfCFC7YNYelSojZt1O/TsqU547GTGTOI7r8nnWN3O3fKbrN9O3vMZUlNZd2YA3QM\nHTtmJszJ8PLLLKvJDfKiB2zLFqBdO/nvvB6lkyetG48sEyawaV+xos9XRMDmzUCnTn72rVQJGDUK\n3Y9Nx+rV5g7Tai5eBJYsAR5+WN1+jz4KzJ5tzpgU8eyzQNmywLvv2jgI8FPhU08BP/zAT/3ffWfr\ncM6eBVwu4Pp1YOdOfhIUmEfdusC6dUCzZkCHDkBcnM0DWryYD4A33wQ++ggIs6qGtx9GjADuugsY\nPBhIT7dlCLNm8fVKDT16ABcuADEx5ozJLlavBroXcPPB2rKl7DaRkcCpU+wp86FQIeC554CPPzZ1\nnMHIyABiY9kbLUe7dmyXGIYWq83MF7J5wDp0IHK7/Vuq/foR/fqr/+9N5/p1Tvs4fFj26yNHWCYR\n0Et35gzdKF2FSpTw+NWxOl27IseECdoEp2lp7PRRUr7A8Hn59luiRo3srQsgx8GD/Oj4yiuKXL5G\nz8u+fZzk9uabDvA46yAUzyMidvZUqkS0apXxbSuak8mTWXe1YYPxA9BDWhoLsNQIRxUSbF6uXWM9\n19mz6tt+4w1liUlORG5ePB6iWrU8FFezZ1APVpcuAWSD16+zllpWKGYNe/f6F9oTsR69XDnf6yDy\nmgcsNZX1JXKxWC+268AWLeJYd506sl9v2cI6GSnQAgWVK6N49w5oU/0M1q83Z5h2MG0a8Nhj6vcL\nCwMeesgGL1hMDPDaa8DvvwOlS1vceRAaNGBx0IoVwOOPW/rEv3Ur0K0b8PbbwFtvBTmWBaYwYgQw\ndy6fF7/8YmHHRCzM/OQTYP16IDraws4VEBYGzJ8P/PyzxRMD/PYb0LEjBzHU4v17JicbPy47OHwY\nSL+ZioalTvsPWWXSvn0AD1KJEnyQz51r/CAV4k//5aVaNaB4ceOkuY41wGJjgfr1gZIl/W/TujXr\nlW1jwQLgwQf9fh0ohJqDkSPR/eYirFol/7XL5dI0PLs4epRdzd26advfG4YMJkA2bF5SUrjTzz4D\nGjY0pk2jqVABWLUKOHaMj7kAV2+j5mXrVuCOOzgxQm2oxYmE2nmUne7dOQo4ZoyxtobfOcnI4GyA\npUvZ+K9Xz7hOjaR8eb5YPPkkJ88YRLBjRUv40Uvt2nyZWbdO2/52Ijcvq1YB3Utvh/TYyKBPaO3a\nBRGxP/gg31dtIpgBBgQxIlXiWAPM6z0KRJs2PGG2ZApdu8YeiXvu8bvJ1q3BfwMAoF8/dLv5J1b9\nlWTc+Gxk+XKgZ0+ggMajq1UroGhRYONGY8fllzfeACIiWMvnZEqWBP74AyhcGOjXD7h61bSuvMbX\ntGn8r8B+WrUyxwjzISMDGD4cOHKExT1a3DxWEh3N4x092pKbwenTfH4MHKi9jT59gGXLjBuTnaxa\nmoZup+dy1ngQvMaL3z9TdDQLiG3KcN2xI7i+VRhgmVSvzga3LUL8hQtZXX/bbbJfp6UBu3YpFCuH\nhaH9iCY4cLCArEDR7XbrGqrVLFumLztdkvjpctaswNsZMi8bNgAzZwKTJ4dGfK1IERbmN2nCouiz\nvmva652XAweAO+/Me8ZXqJ1HcniNsCeegF+PuRp85iQ9nU++M2fY2JcpreNI/vMfjgsFu2goJNCx\nMmcOP3cXK6a9/d69+UE11Mg9L0TA6uVp6N45TZGhXqMGR46PHvWzQYECwAMPcGjZYjIy+J7tT4Dv\nJd8YYMHCd5JkYxhywQLOTvPDnj1AeLhyOVHhfw1FtLQRa1fZk9FjFBkZXCJIb22owYO5hlpGhjHj\nkiU5mZ+cJ02SzWJ1LAULAhMn8iN4586GPoH88w+Xefrgg7xlfOUlWrUC5s1juYyhjoL0dPZiXLjA\nD5jFixvYuMkUKcIPUuPHs4vKRBYs4OuTHtq2ZTXBmTPGjMku9u8HiqdcQu2n71S0vSQpCEMOGsST\nbHFoKy4OqFoVKFMm8HatWvH9PSVFf5+ONMAuXeIDs0mT4Nt6w5CWcvkyu+YD+KCVePBy0KgRulWJ\ng3vGMZ+vQkm7sn07eybliueqoXZtPhm2bfO/je55+eQToHlz4O679bVjB5LEJQEef5w9YcePZ32l\ndV6SkviQfvhhFgrnNULpPApG9+6csT9ggKwTVDFZc5KWxlbF1auciKLHvWMXUVHAyJHAyy/rbsrf\nsfLPP3yj7tpVX/thYayRXbFCXztWk3te3HNPw1VgHVeYVUhQD1L79sCNG8DevdoGqREl4UeAlSAN\nGrBOXS+ONMAOHGBJTsGCwbe1JRNy4UI+ewKYyor1X9lofW84YjaFdmrM8uXGFcfu3x/46y9j2vLh\n+HEuNf7ZZyZ1YBHjxwNjx7IR5tevHxwizlqtW5czHgXOZ9gwjhbecw9njWsmNZXdaUlJwK+/sgAz\nVHn9dXbBb9hgSvNLl3Itr8KF9bfVu3fo68BiFp1Em+jCqurCBTXAJMkWMb4SAb6Xpk2Nqc3nSAPs\n0CHlSTfeEKSl3sr58wOGHwENHjAAkaPaIfZ8ddDNnGL8UNKu6NV/ZSeYAaZrXp5/Hnj6aXa1hTrP\nPstFDLt1Aw4f1jQvkycDf/8NTJkSGlI4LYTSeaSUN9/kRECtTh/38uV8s0tL43IORYoYO0CrKVmS\nXYNjx+rSL/g7VhYv5uuSEXgNMMctNxWA3PMSG1cEkQ9GqGqjTRvWWqWlBdjowQf5Pmvh5GzfrtwA\nq1fPmFIUIW+AeYX4p06ZO6Ysbt4E1qwJKJC5coUdLM2aqWu6UpMKKFY4HSfmmfP0ZjZXr3I5rc6d\njWkvOhpISDBBJ7FiBZ9tL75ocMM2MnYs/55u3YDERFW77tjBiaALFoRm5Ck/U6AAMGMGZ0X++qvK\nnVNS2IKTJBZchrrx5eWhh1h8a/DqERkZ7AFTEW0LSN26bC/u2WNMe1aTvmc/9qXUR4tBjVXtV7o0\nP/cG/N1t2rBH9uBBXWNUChGHFP0U8fdBGGCZSBLXVElIMHdMWaxdyyq8AOr6bdv4D6lltY7Ietex\n64d9OT4LFe2K281eP6O0u4UKcTmLpUvlv9c0Lx4Pe4s++yzvWRtjxgCvvw7Xyy8rvnBdvswPm199\n5dwSaEYRKueRWsqVY2fB6NEqbgrJycB998FVtSpb3kbE1JyCJAFffsnGpcZSLXLHypYtnMXnXQbP\nCEItGzL7vMRPXYuqpW+gVBn1ZoSiMKSFMdozZzjht2xZZdvXr5+HDbCEBHV1/+rXt9AAUxBj27HD\nZzF4xUS6yiF2080g/llnYmT40YvhOrC5c/lMC0XhvRJGjeKU/O7dWUwZhLFjuSZRgHrCghCgfXvg\n1Vc5iTFo5C05mYVjxYtzOmWhQpaM0VJatGBXlYEaz7/+Mi786CWUdWCxC48hsoW2EGHbtgqqF1g4\nOQkJbEcoRXjAsmHUZChCgZWxfz+L9LQQ1aU0dhVtz562TEJFu7J6NQtUjaRvX55yudV3VM9LWhrH\n2t57L+8KnQC469YF3nmH/xgBjLDffuOnUJvXv7WMUDmPtDJuHOvnA9oc3lTXMmWAOXPgNkms7gje\neos9YefPq95V7lgxUv/lpVs3zhcIleftrHk5fhy7TldGZPfymtpp2lRBCZWePfk+qCvDRBlqnT5V\nqnCi5rVr+vp1pAF25Yq6MgaWecASE7nGTBCl3v79QKNG2rqIjARipZaWr22ml8uXua5NZKSx7Var\nxkttbtpkQGPTprHwQusaSaHEiBHAf//LnjCZdJ0LF3j1lunTQ6fWpiAwBQrwIf7hh35ubjdvAnfd\nxctazZ6tTSMRStSpw3qwDz7Q3dTp07wwwO23GzCubJQpo0AP5UR+/RWx5bsjqpWCUgUyNGrEl6WA\nGvvy5bkcgiEX/8AcOqTOAyZJfCvR6/hxpAFWp466ZWzq1bPIAFu+nL0KAepjEPGBpdUAa9gQOJ1U\nBtd+Wc56JYSGdmXbNrZLzbim9+sH/Pmn7+eq5iUpib1C775r2LicSta8DB/O3r4ePXyMsKef5ntT\np06WD882QuE80kudOnyYDx+ey2t84wYvb1ClChcszTxR8/ycvP46P2WoLFace16WLGGHjBnXtw4d\ngM2bjW/XDLLm5ZdfEJvUQPMDt7fu9blzQTa0KAyp1gMGGBN5c6QBpnYivII40zNWFYQfz5zhZKLy\n2jyzKFgQaNqsAHYXbWfcegcWsHkzX0jMoE8fLu2ji6+/ZuGBotXR8xDDhvkYYYsWsf7iv/+1eWwC\nUxg9mrPrvvgi84MbNzhru2ZN4PvvlRVYzCtUrcq6SJ0H+4oVxutbvYSSAQYAOHcO/8QkIslTBLVq\naWtCkoDGjRWEIS00wNR4wABhgGVRrhxfUzSE+pXj8bAHLMgaO3rCj14iI4HYhg9kuX1CQbtipgHW\nvj3P65UrOT9XPC/JycCnn7L+Kx/gMy/DhgHvvw/06IGkmDiMG8dZj6G00owRhMJ5ZAQFCvDqWu+/\nD5w6eJ1dyHXqAFOn+hhf+WJOnn+e00RV1CrKPi9ErG81S7kQSgaY2+0G/voLsZFDERkp6ZLSesOQ\nAenQgTO6Tby5E4W4ASZJUl9JkuIkSTooSdJLMt93lSTpsiRJOzNfrwdqT60B5t3H1DDkrl3s1goP\nD7iZnvCjl6goILZIO1Z9hgBEfAFRW3hWKUWKcNvr1mlsYMYMnlSlRV7yIkOHAh98gA+7/InWDa7q\nXqtT4GwaNgQeH5aC8R03sY5mypT85fnKTsWK/BCiMSMyPp5Dj3XrGjyuTBo35uWkLlwwp33DWbIE\nsVX76Nb7KjLAChfmdZ9MXLPp4kX+t1w5dfs5wgCTJKkAgIkA+gBoCmCwJElyJshaImqV+QroD9Zi\ngBlVl8MvCmssxMXxCaWHyEhg15nK/IPOnnW8TiMhgUMeetd/DITLxXXGcn7mCr5jejrw0UfAK6+Y\nMCpn4m9eDnd8FBPxFD7b1Z3L3ucznH4eGcqVK3htfT9sSG4F9+Bv/Ipq882cPP88Zyh477ZByD4v\nbjdff8xKnC5YkNURoaA4cXXuDCxfjl3pzXQbYIpCkIDpYUiv90vt39cRBhiAdgDiiegYEaUBmAdA\nbpVqxT9PqwFmqgds5UpWYQbBiBBkixbAvr8LIKN7L/9VSB2EmeFHL3IGmCJ+/JF1IEaV5w9hnnkG\nGP9aUdT87N98LO/bF3wnQehx5QrQpw9KtG6Ez6bdhqeeLhAyZQ5Mo2ZNrv03caLqXb0GmJmETBhy\n2zagWjXExpdAVJS+phR5wACW/egWAftHbQakl/BwjmrrqZJhhAFWHcCJbO9PZn6Wm9slSdolSdKf\nkiQ1CdSgluX5TA1Bpqfz44mClDEjPGClSwOVKwMJrR4ElixxvE7DCgOsXTsuaXX58q3Pgs4LEaeg\n5yPvFyA/LytW8LH53HMAhgwBPvmEL2z5yAhz+nlkCJcv89+1bVvgq69w7/0FUK2a/1V58sWceHnp\nJTbArl8Puql3XszWf3kJFQPMPXkyknvegYQEoEnAu3hw6tTh0OvNm0E2bNiQdbzHj+vr0A9aMiAB\nrl9cvTqXX9KKVSL8HQBqEVEUOFz5W6CNtSxJZmoIMiaGzd0gQeJr1ziOrzUzJDuRkcCu27qx61XH\norJWYIUB5tWBrV+vYqclS/hfo6snhhgeDy8T+d572VacefjhW0bY3r22jk9gEJcusWczOhqYMAGQ\nWCT90UdcmkJv0ciQJyIC6NKFkxEUcvAgnzNanAJqaN8e2Lo1q/KQc9myBfsb3YN69bjorx4KFuT7\ndtAFOySJnR+qLv7K0SLA96I3DGlEVZNEANlNjhqZn2VBRNez/X+xJElfS5JUjohkA/LDhw9H7cwj\nvmzZsoiKisqKyXufTHK/b9TIhYQE/9/rev/jjxz7DrL9gQNAtWpurF2rv/+mTV3Yf64C3KVK8RGa\nWWLelN+n4/2SJW7s2we0bGl+fy4XMHOmGyVLet+7Au//+edw9+8PrFnjmPmy6r0Xt9uNFSuAQoVc\nuP/+XNs//DDc+/cDXbrAtXYt0KyZY8ZvzvET5HgJ5fdNmgC9e8PdsCEwcCBcmYIW7/c9erjw6aeA\ny5Vzf+82to/fqvfdugHvvgvX2LFAwYJBt//mGzcaNQIkyfzxVajA17fatR00X9nfnz8PHD+On49c\nzfJ+6W2/XDk3fvlFwf2jc2dg3Tq4M4XGRv6+nTuBUaPU7e/9//HjR/Hmm9AOEel6ASgIIAFAOIDC\nAHYBaJxrm8rZ/t8OwNEA7ZEWPB6iEiWILl/WtHtg7rmH6Icfgm42axbRQw8Z0+Xs2USDBhHR+PFE\nb71lTKMmsHYtUbt21vS1bh1Rq1YKN963j6hKFaLkZFPH5HSSk4lq1yZyuwNsNHcuz9Xu3ZaNS2Ag\niYlEjRoRvf46XwhlOHKEqFw5otOnrR2a4/B4iNq2Jfr9d0WbDxpENG2ayWPKZMgQoqlTrelLEz/8\nQDRwIL3xBh9qRvB//8evoGzbRtS0qTGd5qJSJT6FtPDRR0T//jdRpt2i2n7SHYIkogwAYwEsA7AP\nwDwi2i9J0mhJkh7P3Ox+SZL2SpIUA+BzAIP09psbSTJpTUgidn0qEHEbUYLCS5ZAsW9fuOfPN6ZR\nE7Ai/OilXTsOCXh1YNmfRnyYMIErUmqJZ4c42edl0iRed61r1wA7PPQQ8PnnnG0UG2v6+Owi4PES\nqhw9ymG1oUM5zugnlat2ba7E8PbbOT/Pk3MSCEkCnn02W5VaedxuN4gAt9u6lcs6dLBk1R3tLFkC\nd926iIvjaK4RKBbiR0WxBkxhFqtSrl1jSWDVqtr212tz6DbAAICIlhBRBBE1IKIPMj/7hoi+zfz/\nV0TUjIhaElE0EZmScGtKJuTBg1yxsmbNoJsaaYBFRHDXnuhOrPJzaJGYbdtY72sFhQvzRSpoPbCL\nF7nw4hNPWDIup3L9OhfjVLQU3qBBvHBx7968OrDA+Rw8yJb1uHGKEk1eew1YsAA4fNiCsTmZ++/n\ni3WQBRgPHGCdk9n6Ly9t2/IKFY7E4+GM/HbtcOCACY6GYISF8cXf4GvToUNsRGktMeIIA8wpmOIB\nW7dO8YJ5+/frz4D0UrIk1309frYIx59XrzamYYPZtcva+qZduwJr1vD/s+tYcjBlyq117/Ih3nn5\n+mvA5QKaNVO44/338zqB99xzK4EhD+H3eAlF9u5l18wbb7ABpoDy5YExYzgZw0uemhOlFC7MExHA\nC+ZyubB2LTsXraJ5czb69JQ1MI09e4AyZdDlwYcQH8+JiUYQEcGFbhXlmXXqpKMatzxaMyC91K2r\n74EmTxlgpnjA1q1TFH5MT+c/RIMGxnXdqFFmoboePYBVq4xr2CCuXQMSE41zRyuhY0dg48YAG6Sn\nc6r5M89YNiYncuMGF/7+v/9TuWOfPsDvv3O8at48U8Ym0MmWLZzt+MknwGOPqdr13/8Gfv2VI5f5\nmtGjgZ9/DrjEzYYN1i5WX7w4l2ZwZI3kVauAHj1w8iRQpgyXSjKCEiWASpUUHo+dOxueCaknAxIA\nSpXS54AQBlgwFBpgR45wHLlYMeO6btyY3bPu0qVNLUSnldhY1heFGZFLq5B27bjf5GQ/+pVFizhc\n3Lq1dYNyGG63G5Mm8WGr2PuVndtv58Jh48cDkycbPj67yBN6p0WL2Ls7dSoweLDq3cuV48i81wuW\nJ+ZECxUrAgMHAtOny37tdruxYQNX9LCSqCiueuQ4Vq0CunfH/Pluwx+4FYch27cHdu8GkpIM61uv\nAQboi4rmKQPM8BBkYiJXlVYQ8D5wwHhPUNaBWbcuP6mdPGlsBzqJibF+ecUSJdgw3bHDzwaTJ+d7\n7VdSEjveZxVNAAAgAElEQVRHdK093rw5sHYt8PHHwLvvcjKKwF6mTAFGjWIjbMAAzc089xw7f/QU\nkMwTPPEE8M03ssW3Ll5k2a3eYqNqadnSgQZYejoyayvhxAnj9F9eIiIU1AID2EXYrBkXTDMIrwbM\nLvKUAVa9OnDunIEx9PXr2QddIPg0HT5s/B/Sa4C5undnvYfDdGBW67+8dOzITx0++pXDh9kyu/9+\n6wflIPbvd6FTJ7ahdFG3Lp8DP/7IN6sQX88mZPVORMB//sMZFWvWsBtYB+XLcwTuvfdCeE6MoH17\nFtvKyDskyYXbb1d06TcURxpg27dzJkLFivB4XIY7GlQ5TjLrgRnF0aPWJVnIkacMsLAwDgOeOBF8\nW0Vs2qTYB334MN+vjCSHa9aBOjA7PGDALQPMh+++Ax591Ng4cIiRmgp8+ilnvBlC1ap8wTt5kr0u\nV64Y1LBAEenpbC0tXMjiR4PUz889xxmRp08b0lxoIkn8YCETZrcj/Ajw9TQ21mEV8TP1X4A5kR5V\n0qFOnQzLhMzI4LUcFRQ4MI08ZYABvGKQYa71rVv5KUkBZhhgVatyOGnhQjfQvTvrwBwSCkpNZeNQ\nt5dFA9HRfC9avdqdc0DTp/PNKh8zZw5QtarbWMO4VCkW5kdE8OSHqII75PROV66wTunYMS5IVbmy\nYU1XqMBLgo4f7zaszZDk4Yf5uprLEl282I2OHa0fTrlywG23OaxUSKb+CwB27XIbHoJU5QHzrtlk\nwH3w1Cn2BttZKlIYYP5IS+NHEYVibjNiyZLEXrDjx8FPvhkZJi54qY6//2bXbfHi1vddowb3m0MS\n99tvLA6zMiXTYXg8LNl66CETGg8L4zpho0ezEbbFlFJ+Ai8HD3Ldo9q1WfNVqpThXTz3HDedr9eI\nLF0aePBBYNq0rI+Sk/kyqzPSqxlHhSGTk/lc79IFN27wM4ERax1np04djlqlpyvYuEoVDhsbkG13\n7BjbC3YiDDB/7NnDR4aCCx8RZ0HWqWNAv7lo3BgoXtzF1lj37o4JQ9ql//LSsSOQnu669YEQ32Px\nYi5x9PzzLvM6GTcO+PZbzsRz8AoNcoSM3mnJEg61PPcc8NVXQKFCpnRTty7Qt68LU6aY0nzo8MQT\nfExnFqPavh1o1syFEiXsGY6jMiE3beJU99KlcfAgEBHhQsGCxnZRpAg7d48fV7hDhw68BItOhAFm\nAoYZYFu3Kn4EOnOG7bSSJQ3oNxdO1YHZpf/y4g1DAmB//Z49wN132zcgB/DRR8CLL2qv6qyYO+4A\nli3j6uvPPuvQypEhCBG7MEeOBH75hTMeTeaFF4D//S/k8yv00bIll6XIvLZu3Ahbwo/Zh+MYAyxb\n+NEM/ZcX1WFIAzzwwgAzATsMMDP0X14aNQLWr3fzm27d+IRwgEIzJoaf1OyiY0dg2TI3v5k5k2si\n5cN1H71s2cLH/QMPWKR1iorijNNDh7jcvsNKpMjhaA1YUhKv5zhvHj/dW1QB9Pp1N+rXFzV3MXw4\n8P33AFjjXaaM27ahONUAi4sDihVzm9KNKgNMeMCcix0GmJm1RLI0YAD/uNKlgX37zOlMIR4Py+Ps\n9IA1b84lRy6e9wAzZvAFNB/zv/+xM8rKori47TYW5995Jy9kt2KFhZ3nIfbsAdq0YQ/YunXGi2yC\nMH48Hz8Oye+xh8GDgT//BF2+go0b7Uku8lKzJnskbc9QvXaNL/SZ7sADB8zLGFRlgLVsyUvE6CzI\nKgwwE6hVix/GdTmJrl1jUZfCs9BMD1i9esD58y6kpGR+4AAd2JEjvBxF+fL2jSEsDIiOdmHTd3v1\nrwcR4pw8yRHBESP4vaVapwIFOBQ5Zw57cN55xxEeWjkcpwEj4mWzuncHXnoJmDXL8qwWl8uFvn15\n4faAS3zldcqXB3r2RPzEpSheHHjgAZdtQ5Ekvpzt2mXbEJj16/nBKrOsz4EDwN13u0zpSpUBVqwY\nV8jduVNXn8IAM4GiRfnBXNfTw44dQGSkYvGrmQZY4cJ8kGQlfThAB2Z3+NFLx47AhrnH2PtluvDJ\nuUyezCUFypSxcRDdurF6ecUKPkYVK2rzKefOAXfdxd7bTZvYeLXpGC5QAHj66YBrU+cPhg/Hhu/j\nban/lRtHhCFXrswKP3o8yBThm9OV6lVsdOrAiPgSJQwwE9AdhlRR/wsw1wADgPLl3beWanC5uBq2\nopxdc9i9m+1TuylZaCk2/F2OrY98SnIy158dO/bWZ7ZpnapV44eDPn24fMvs2Y6KazlGA7ZiBd9h\nmzZlwZHexeh04J2TYcN4WIYVsQ5F+vTBxlPh6NjgH9uPlRYt+DprK9n0X4mJHGiIiXGb0pXXAFN8\nudCpAzt/niXDJlR3UYUwwORQof8CzF9PqmbNbGtlVa7MH+h0v+phzx6+QNhN4/NrsQOtkFbOuAKV\noca8eUCrVg4qf1awIPDyyxwT/eADLiSamGj3qJzBlStcR23ECPZ8ffABu7gdQOnSvIjEpEl2j8RG\nChXChmK9EJ34o90jQYsWfJ21jQsXOOzSti0AczMgAaBsWY5e/fOPwh10esCcEH4EhAEmz5Ytig2w\nmzeBy5e5ar1Z9OrlyrlYqc06sN277RWperlj1wbUq5Fiv6veJog4bDRuXM7PHaF1atmSQ/mtWnG8\n2s+ix1Zi27wQcbJCs2YcZty7N2tpF7vJPidjx/J63zq1zSHLxYvAyZQKaLH0Y7g6d7Z1LI0acWQl\nS/trNWvWcCZu5gOC1wAz8xyqV09FfdX69Vm4qFFrJAwwE9FlgJ06xVaVwpjikSNcrNrMRVsjIjj+\nnoWNOjDvMW9j1IQ5cgTYtw8d+5QyammwkGPDBuDGDY74OZIiRYC33uJF5GfO5LDBtm12j8paEhJ4\nDc2XX2aR/eTJNov1/NOgASdj5teSFJs2Ae06FERY5fK262yLFOFb0P79Ng0gm/4LYAPM6CWIcqNK\nByZJ7AXTGIYUBpiJ6DLAtm1j75dCQazZ+i8AOHfOndMD1qULXy1seDzau5er81ta7kCOmTPh7twZ\n0Z0L5tvsrW+/5SLeuY1/u/UrPjRrxhlVY8dySPKxx2wJS1o6L5cvs9HVoQMnKMTGsn7TYeSekzFj\n+LjKj2QtwD18ONwffmj3cOwNQ2bTfwFcAywiwtxzSJMQf+tWTX0JA8xEdBlgDtN/AZzVmZHBwkEA\nHDBv3NiQYnRq2bPHAeFHT2btr759ORNyg6O03pZw8SKwcCEnz4UEksSD3b8fqFSJ7y6vvsqGSl4i\nOZmLajVsyCdsbCyXm3eI1isY/fqxEN92AbgNbNiQWfJq8GC+tl65Yut4mje36e9w6hRw9myOTCuz\nNWCABgOsbVvNHnVhgJmI1wDTdFNWaYBZ4QHr1s2FiAg4QgfmCANs3TqgZEm4Ro1C7dr80dGjdg7I\nembPBvr3BypU8P3OERowf5QpA7z/Phc5OnOGY9lvvskWpcmYOi9JScCECfx7Vq/m15QpQPXq5vVp\nALnnJCyMHZT5zQuWlsaSxQ4dAFSoAFefPsCCBbaOqXlzmzxgq1eztzZz0cebN1kcX7u2+Row1QbY\n9u2atKXCADORMmX4QqL6mu7xsEWdmfmhBCsMMAC+BliPHhynt5jdux2QAfn991m1vySJn1rzUxiS\niDXto0fbPRId1KwJTJvGCS+JiSxAev551vaFEv/8w8Vn69blG9fChfxq2tTukWnmsce4ru7Nm3aP\nxDpiYvhPmCXPy7Y0kV3YFoLMFX6Mj2fjyOhFuHOj2gCrWJHDQ/HxqvsSBpjJaApDxsfzH7RSJcW7\nWGGAud1uXwOsY0f2Ity4YW7n2SBygAfs+nXgt9+AIUOy9AjR0chXQvyNG7kMXJcu8t87TgMWiHr1\n2FMUE8NX+LZtgXvvBZYs4bi7gRg2L0T8Rxgxgp+Mjh8Hli8Hfv2Vsz5DCLk5qVWLzymbHUCWkhV+\nzMRdrBhbAzmyn6ylVi2+3F24YHHHq1blyNL16r8Ac68tVavy7712TcVOGsKQ166xfFouemA1hhhg\nkiT1lSQpTpKkg5IkveRnmwmSJMVLkrRLkiTT66hrMsBUhh89Hn5gt8oDluNaULw4X+zXrze/80xO\nn+Z7ZGU7y279/DPQuXOOQXh1YPmFb78FHn88jxX/r1UL+OgjjiX37g288QafxK++yg8aThD5JSRw\n+LRxY2DkSE4Li4/nSrjNmtk9OkN5/PH8FYbcuBE5K+CHhXGBZxu9YJLEh5WlXrAjR1jHmC3l0Qr9\nF8C/t25d83Vgx47x5cYJ10/dBpgkSQUATATQB0BTAIMlSWqUa5t+AOoRUQMAowFM1ttvMKwwwE6f\nZj282cu3uVwuNGyYywMGWK4D89b/svXAnTUrS3nu1SO0bMknrc2aWUu4dIlLSg0b5n8bR2vAglGy\nJKd2bt0KLF7Mrr5772VR+wsvcLn25GRNTauel/R0vjO/9RYfZJ06sbdr2jROJnjpJWc8RuvA35z0\n78/XT1uLgVoEka8HzOVy8XXmhx9srV9neRhy1SrO2s12kc9ugJl9balfX6UB1q6dJgPMCeFHwBgP\nWDsA8UR0jIjSAMwDMDDXNgMBzAQAItoCoIwkSab6UawwwKzSfwEskTl8ONcKRBYbYLaHH0+d4hUA\n7rgjx8eFCvHKNzoKI4cMgcT3eY7mzdkrdugQMH8+UKIEC/YrVeJj/9VXWW91/Lh+DxkRJwUsW8aa\nrgEDWGPy1FMssP/8c9aqTZrErhInPD6bSH4S43sTturUyfVFixa8RICFUYbcWJ4JmUv/BVhTA8yL\nah1Yq1acaZyWpngXJxlgRlRzqg4g+wpiJ8FGWaBtEjM/O2tA/7KEh6sUZqeksIWhQsNx6JA1Bpjb\n7YbL5UKVKhyhySqC2r49B+gvX2ZXnMns2WNzKaN584C77+Y1K3BrXoBbQvzevW0cn8kQ8Q3xyy8D\nb5d9XvIEksTnZatW7I26fJnLBGzeDHz9NR+YV6/yXSI8HKhRgwUlZcvyDbRYMUCS4N6zB64GDXjb\nK1fY4Dp5kg24uDguqNasGZ9Xo0axp8vWeLv5BDpW/vUvdvx9+KH5Xn478db/ym5TZ83LI4/wU48/\nwaXJNG/ONYwtgYgNsHfeyfFRdg+Y2deWevVYcaCYUqU4PXPvXj5YFZDXDDDDGT58OGpn1hcoW7Ys\noqKisv7oXhFgsPfh4S4cO6Z8e1eJEkCDBnBnujOV9Hf4MFCwoBtut7Lttb7ftWsXXC4uRfHjj27c\nfnvm90WKwB0RAXz1FVyvvWZa/973u3cD0dHm/16/72fPhnvIECDbReCWEN+FL76weDwWv9+8Gbh0\nyZ3p7PG/vfd4sXu8pr7v2xfo2/fW+6goIC4O7iVLgHPn4Dp/Hjh8GO74eCAlBa4KFYDz5+FeuRIo\nXhyuRo2AKlVYbB0dDdfgwUDFis75fRa935V5t5P7vlYtoEEDN95+G/jgA2eM14z3CxYAXbvm/N6L\nu04d4L//hWvCBKBoUcvHd+WKG7GxgMfjQoECJvcXFwc3EXDsGFyZnoWffnIjLAwoW5a3D3S8GPH+\n+nU3tm8HAl3ffN7XrAnXtm1Ay5aKtt+2DXjsMX3j9f7/qN76R0Sk6wWgA4Al2d6/DOClXNtMBjAo\n2/s4AJX9tEdGcOYMUfnyKnaYOJHoX/9S1ceQIUQzZqgblx6efpros89yffj++0TPPGN636mpREWL\nEt24YXpX8vz9N1G1akTp6bJfnz9PVKoUUVqaxeOykOHDiT7+2O5RCPITv/1GFB1t9yjMJTKSaNOm\nABu4XEQ//2zZeHJTsyZRQoIFHU2cSDRiRI6PVq4k6tLFgr4ziY8nCg9XudNXXxE99pjizTt0IFq3\nTmUfQci0W1TbTwX0mW8AgG0A6kuSFC5JUmEADwFYmGubhQCGAoAkSR0AXCYi08KPAMtEbtxQUaVB\npf4LsFYDBsBWIX58PJdusi0U8cMPXKHaTzGa8uW55uXevRaPyyIuX+bqG4HE9wKB0QwYwLKHvHpe\nXb3Kya0BlSePPMLXH5uwrCDr6tWy+i8rMiC9hIdzcltqqoqdVGZCOikEqdsAI6IMAGMBLAOwD8A8\nItovSdJoSZIez9zmLwBHJElKAPANgCf19hsMSeJUU8VCfA0GmJUaMECmGCvAV47jx7kgpIl4MyBt\ngYgrQw4ZkuPj3OGCvFyOYvZsoG9f1oUHI/e8CBgxL74Em5OwMK64kVfF+Js38yW0cOGcn+eYl/vu\n4+zbS5csHZsXSzIhPR7A7eYMyGxkrwEGmH8OFSrED9KqInstWrAVrcDbkpLCddWqVdM8REMxwgMG\nIlpCRBFE1ICIPsj87Bsi+jbbNmOJqD4RRRLRTiP6DYbiTMgrV3gBNBXVq70F46pW1T4+tcgaYGFh\nXBfL5BPD1gzITZtYeB8VuHxcXq2IT8SlpkaNsnskgvzIv/7FDqCkJLtHYjwbN+aq/yVH2bJAr17A\nTz9ZMqbcWJIJuXv3rTBCNqz2gAEaMiGLFOF7d0xM0E1PnGDjy+yq/koxxABzKooNsO3bOYMiTHlO\nwpEjnLZsRTa6VwBYowbbilev5trAgjCkrUsQ/fADe79yTbZ3Xrzk1Yr4O3eysZ/r5/ol97wIGDEv\nviiZk/BwoE0bDoHnNXLX//LiMy/ebEgbsCQEKVN+AvAtQWHFOaTaAAMUhyGdFH4EhAHGhID+C+As\n+QYNZFbHsMAAs80DlpbGa6I8/HDQTRs2ZM9kYqIF47KQ6dN5aboCefpsFTiZESO4KkdeIj2dawfe\nfruCjfv1YyGc6uKS+omI4G5N9UDKGGBJSVypJbMggWWoLsYKKC7IKgwwCzHTALNK/wXkjLv7LEkE\nsGV08SLXNDKBK1eAc+esNzgBAEuXsmXlUyXRV48gSewFy0thyORkLn+mRnwvtE7yiHnxRemc3H03\ne2JtsD9MY+9eDkfJFTX2mZciRYAHHgDmzrVkbNkpXJgfvP/+26QO0tKAdet8XOzx8XzZzR4YsuIc\n0uwB27o16GbHjwsDzDLM9oDVq6dtXHqQzYQsUIDFk6tXm9Ln3r0cYrclbv7DD+z+V0heE+IvXMjS\nNyddNAT5j6JFOQl5xgy7R2Ic/sKPfnnkEV4KzYZ1SU0NQ+7YwW6uXBk+dui/AI0GWEQEJ6JdvBhw\nM+EBsxBFBlhiIue8qvSzWhmCzB53lxXiA6aGIW0LP167xusBPvCA7NdyeoS8pgObPp3DP2oQWid5\nxLz4omZORozg49HGpRENJZAAX3ZeoqOBmzd56RuLMdUAU6j/Aqw5h+rW5furquOsYEFej46ruPpF\nGGAWUr06G8UBa4p4vV8q1fR2aMAABQaYCU9ne/bYJMD/7TfO8FSx8GHbtrxO8vXrJo7LIhITWaNy\nzz12j0Qg4HINpUubnnBtGevW8frqiilQgLWoNojxW7QwMRMygAFmhwesZEmgTBle+lcVCsKQwgCz\nkLAwLhMRUBqlIfyYkcF1SmRkSaYgpwHzeTpo2JBVpYcPG96/bTXAZs/2qf2VHTk9QtGinNC6ebOJ\n47KImTPZ+ae2+K3QOskj5sUXNXMiSVwTbPp088ZjFceOcU2ohg3lv/c7L0OGcE3CjAzTxiaHaR6w\n5GS+WMqsdZm7Bhhg3TlkRiakx8MPtTVr6hubkeRpAwxQEIbUYICdOsUlU4oV0zc2LZQuzS+fTD9J\nMiUMSWRTCPLsWXb/3HWX6l07dwbWrjVhTBZCdCv7USBwCkOGAH/8wYk5oczatWxzqC4j1KQJP9Wb\npLf1R40abCsZXm9782YW+JYpk+Pj3ItwW40mA6xdO76f+4kCnT4N3HYbP6Q7hfxtgHk8HDNu21ZV\nm1aHH3PH3Rs2lMmEBFiIb7ABdvIkG5pKKrAbyty5wMCBAd0//vQIXbqEvgG2cSNHPDp0UL+v0DrJ\nI+bFF7VzUqEC0LMnZ+aGMmvX8oOaPwLOiw1LE0mSSRXxV6/2qX4PcPmJokWBcuVyfm7VOaTJAKtV\niz2TfuoQOS38COR3A+zAAb6iqNAYAfbpv7wE1IGtXm2oDszW8OOjj2raNTqa7eqUFIPHZCHff8+i\nZysK/QoEasgLYch162Sjbsp46CHWp968aeiYgmFKGNJh+i8vmgwwSQoYhhQGmA0ENMA0hB8Ba2uA\nAb5xd78GWO3a7DHav9+wvm0JP+7fz/5imSez7PjTI5QuzXMUJCHGsdy4Afz8s2b7U2id/CDmxRct\nc9K7Ny/psm+f8eOxgrNn2cMT6LoWcF6qVuX7xh9/GD62QBhugN24wcv3yNTikNN/AQ7XgAHCAHMa\nZhhgdtUA8+LXAAP4aWbFCsP6siUDcvZszjbSUXisSxd+yg1FfvmFq3M7ZcFYgSA7YWHA0KGh6wVb\nv55tDl11DW1YmsjwTMi1azm1tUQJn6/kSlBYiaZq+EDAivjCALMBswwwOzVgAQ2w3r25erxBWB6C\n9Hj4wqag+GogPUIoC/G11P7KjtA6ySPmxRetczJiBJ+maWnGjscKvAL8QASdl7vv5obOnTNsXMFo\n1oyr4RuWgLl0Kd8vZPAXgrTqHKpQgZP6L11SuaPXAyZTREwYYDZQqxYLyX3+HklJ7ENv2VJ1mwkJ\n9mrA6tThCJ3s2mA9e7LrxwABVGoq/9bGjXU3pZz16zkjJzJSVzOdO7OQ3eJscd0cOcJexzvvtHsk\nAoF/GjZkL8Vff9k9EvXo0n95KVUKGDCA16m1iNKlgUqVNHqG5Fi2DOjTR/YruzVgkqQxDFmxImcO\nyGSpCQPMBooV4/v5mTO5vti5k1OKVRZZunSJbZvKlY0bYzByx93DwljuJXtwlivHv8uAcvB//80n\ngaXlNmbNUix+CqRHqFiRQ3imFS80iRkzeMmXIkW0tyG0TvKIefFFz5yMHBl6C3RfucJrHLZuHXg7\nRfNiQzZkVJRBhfhPnOCaFq1a+XyVnMyJhHJ1Lq08h+rVYweAajp08CkESSQMMNuQDUNu3qwpxz8+\nnhdGtTs7LWAYsk8fQ8KQu3bxCW8ZycksgBo82JDmQi0MmZHB4ceRI+0eiUAQnAce4PPL5+HWwWzY\nwFGqwoUNaKxXL34KNswlFZyoKNbN62bpUh6/jBAuIYGNr0KFDOhHB5qF+DIG2MWL/HtKlzZmbEaR\nfw2wTZtY6awSrwFmJXJxdysMsJgYiw2wRYs4JFyjhqLNg+kRunQB1qwxYFwWsWoVax/0zrnQOskj\n5sUXPXNSqhRLoWxYmUczwep/eVE0L4UKAYMGWeoFi4riB2PdLF2qKfxo5Tmk2QC7/Xa+v2fDid4v\nIB8ZYEeP5vpQpwfMbgIaYO3aAceP6340tdwDplB8r5Ru3dgACxUd2LRpwvslCC28YUgTlqA1hZUr\ngR49DGzQmw1p0QQYYoClp/NEqBTgW41mAywykt14165lfSQMMBupVy/XEoknT7KQS4OS3g4DTC7u\nHhHBtVpkCQvjchTLlmnuk4i1Bjq18Mq5cIFX+b33XsW7BNMjVKvGWj1DnhhN5uJFYPFirr6hF6F1\nkkfMiy9656RTJ86EDLIGsiO4dImNCyXP3YrnpW1bvlgGWIPQSGrV4uSrs2d1NLJtG0cZ/NS5iYvz\nX4LCag2YJgOscGG2VLMVgjx0yN7SUf7IFwZY/fq5xHybN7ObUoOQyykesKZNWSQvk23L6CxHcfQo\nr0pv2RJECxYA/foZHqTv0YMf9pzOnDlA//68VplAECpIEpekCAUxvtvNq2QYov/yIkmW1gSTJAOE\n+AHCjwBnYTdrpqN9g6hZEzh/3k+2fzBy6cASEtgOcBr50wDbtElT+JHIORqw224DypaVCa166dMH\nWL48gIUWGMvDjyqyH70o0SP07GloXVrTmDrVuPCj0DrJI+bFFyPmZOhQ4McfLV+ZRzUrVigPP6qa\nlyFDgPnzLSuK1rKlTq9+AAMsPZ29hE2byu9q5TlUsCB7/I4c0bBzLh2YMMBspGZNzrjNsqQ16r8u\nXGAjTOXSkaYRcGmK8HCgfHkut6EBSw0wbyZRr16GN921K5+HTl4XMiaGwyMyS7IJBI6nRg2+nP7y\ni90jCczKlfxAZjj167OcxaInPV06sIsXuf5lp06yX8fHA9Wrq67OZBqaK+J7PWCZ2rz4+DxogEmS\ndJskScskSTogSdJSSZLK+NnuqCRJsZIkxUiSZLlawFs36/BhcHXRXbs4dq8Su0pQ+Iu7B10b7I47\nNK9XZqkBNns2L3CrMu9ZiR6hbFkui5YrKcZRTJvGYZwCBj0OCa2TPGJefDFqTpxeE+zkSQ5nKdW0\nqp4XC8OQukpR/PUXP+kVLSr7dbC1f60+hzTrwGrU4FjzkSNITmbNXK1ahg9PN3ov+S8DWEFEEQBW\nAXjFz3YeAC4iaklE6tf+MYCsMGRsLL8pVUp1GwkJztB/eQlqgN11F7Bwoaa2LTPAPB5N4Uc1ODkM\nmZwMzJ0LDB9u90gEAu3ceSdfi3IkOzmIlSs5K9qohxwfBg0C/vwTuHrVpA5u0agRZ/XduKFh54UL\n+b7gh2AGmNVoNsCALC/YkSMcEAoLM3RohqD3cBwIYEbm/2cAuNvPdpIBfemifn32YGnVfwH2CfD9\nxd2DGmC3384Vj48fV9XfxYscErNkuaW1a9nfHaw0tQxK9QhOFuL/9hsXozYyRVponeQR8+KLUXNS\npAhn8M6YEXxbO1BbfkL1vFSowB3Mm6duPw0ULsxG2N69KndMTeXM+AED/G4SbO1fq88hXQZYpg7M\nqeFHQL9RVImIzgIAEZ0BUMnPdgRguSRJ2yRJGqWzT000aJDpAQtBA8wfjRqxQNGvviksjFPrFi1S\n1a63/IRpT4vZ8Ra/MjGuGx3NF6srV0zrQjOi9pcgrzByJPD995rzfkyDiD3gpui/smNhHFaTDmzN\nGl7YN8A6ek70gGlajgjg+/ymTY6LXGUn6C1WkqTlkiTtzvbak/mvnB/TXzW6jkTUCkB/AE9JkiSv\nAANU7/cAACAASURBVDQRDkESr8SqpBSyDHYZYP7i7kWKsJdq//4AO2sIQ1oWfrxyhcc2ZIim3ZXq\nEYoW5XPRaVXxjx3jHIm7/fmNNSK0TvKIefHFyDmJjOS8n1WrDGvSEOLiWF6qpg6Upnnp04cjDvv2\nqd9XJZoyIYOEH69d49rdgbxFVp9DdepwAEdTMe3WrYG4OCT8nepYD1jQqCgR+U1NkyTprCRJlYno\nrCRJVQD846eN05n/npMk6VcA7QCs99fu8OHDUbt2bQBA2bJlERUVleX69B4Aat/Xr+9CQlw63MnJ\nwIkTcGX+RZTu37WrC/HxwNmzbrjd6vvX837Xrl1+v69c2Y0FC4CoKD/7Fy8OrFkD19WrQOnSivpb\nsgR48EELft/8+XBHRgL79pk+n716ubB0KVC6tIm/R+X7778HOnd2Y/Nm644X8V68z/5+V+Zd3Kj2\nOnd24/33gZ49nfH73G43fvqJz39JUr6/F1X9hYXB7XIBb78N1/z5pv6+qCgX5sxRsX/XrsAff8D9\n5puA2y27/b59QI0abqxbZ93xEuz9li1ulCoFnDjhQu3aKvcvWhTu+vWxdc1i3HX/QEPH5/3/Ub91\noBRCRJpfAD4E8FLm/18C8IHMNsUBlMz8fwkAGwD0DtAmmUFaGlGRsDRKenCopv3PniUqV87gQRnA\nu+8SjR8fZKPevYl+/FFxm02bEm3frm9cimjfnujPPy3oiGjfPqJatYg8Hku6C0pGBlF4ONHOnXaP\nRCAwjgsXiMqUIbp40e6R3KJHD6Jff7Wos4MHiSpVIkpNNbWbK1eISpRQ0U1sLFGdOgEvgN9+SzRs\nmCHDM5QuXYhWrNC48xtvUO0yFyg+3tAh5WTtWsq0W1TbUEFDkEH4EEAvSZIOAOgB4AMAkCSpqiRJ\nXuFRZQDrJUmKAbAZwB9EpH2NHI2EhQG1ip3Hkcb9Ne3vNP2Xl6BCfIDdzgrLUVy9ysVdW7TQPbTA\n7NvH7no/65EZTePGXNgv6FxZxLJlHK5p2dLukQgExlGuHC9oMWuW3SNhrlwBtmyxQP/lpUEDXidO\npe5WLaVLc+KOYiH+H3/wfSCA1tZp+i8veoT4Kbe7cPpqCWQG1IwnKQno21fz7roMMCK6SEQ9iSiC\niHoT0eXMz08T0R2Z/z9CRFHEJSiaE9EHevrUQ/20/Uio3FHTvnYaYLnd4tlRZIDdeSenSKenB+1r\n2zbWf6ksyaWeqVOBYcN05QYHmpfcSBJPg8ayaIbz9dfAmDHmtK1mXvITYl58MWNOxowBJk1yxgLd\nS5dyzdGSJdXtp2teHnsMmDJF+/4Kad8+x2o7gfn9d74ABkCJAWbHOaS5GCuAo1U6oCZOICxFS80O\nBWzdqmvdJr0esNDh2DHUlw4h/mZ1Tbs7NZU1PJzFkxcvBtioVi1W6ytQx27ZojlJVDk3bwIzZwKj\nrE2IvfNO0x9MFXH8OLBhAzB4sN0jEQiMp3Nn9jY7wd5dtCio3WE8DzzAF1K9+qAgdOjA3QTlyBEe\nS5cufjchypsesPiTxVC/zDnzKnHrSOoD8pMBtmYNGkRISDikrdzBwYNAw4YGj0khXgGgHJLEBnhQ\nL9jgwYpq1GhcpUkd8+dzJ3Xq6Gom0LzI0aULZ4z+I5sqYh3ffsuJnyVKmNO+2nnJL4h58cWMOZEk\n4Ikn2AtmJxkZXPj9jjvU76trXooX58LS33yjvQ0F5Fpv2j/z5wP33x8wrHH6NP9bpUrgpuw4h7Jq\neGogIQFoUI/MS4HPkwbYyZPGt7l2Lep3qKi5pkiwAnV2oigM+eCDXPUzwKKIRHxCt29v7Ph8+Ppr\n4MknTe7El8KFebnJv/6yvOssUlM5+vrEE/aNQSAwm0cfBZYvv3Vjt4PNm3ldQ1uWoHniCa4JZuIi\ntE2bAqdOcdHsgMydy0u9BcDr/bJ6mT0lNG7MBpiWtc4TEoD6bW/jgt9Gk57OnjU/62oqwZkG2Lp1\nxre5Zg3qD4jQZIDduMF68YgI44elhGBx9xYtFNSEqV6dz7AlS/xucuQIPyTVqKF+jIrZto0XZevT\nR3dTWvQIOpbHNITffuPjqEkT8/oQWid5xLz4YtaclCnDkbipU01pXhF//KE9/Kh7XiIi+ML888/6\n2glAwYJc6mproNWV//4buHAhqJEQG6ss8cqOc6h4cTai4+LU75uQANTvEQ7s2MHrvhnJrl1AzZqc\nTaWR/GGAZT4m1O7VAImJ7IVQw549XHXedGG6RhS7ooOEIb36L1OfgiZN4qfDggVN7MQ//ftzVWwT\nH0wDYqb4XiBwEmPGcLhdQe6PKegxwAxhzBg+4U0k6LV//nxep7JA4Fu9jgViLCEyUkPhWWRqt1sU\nZ3ehIsGcCnSGH4H8YoCtWQN07oxCRQqgZk329KjBuzSPXQSLu7dowRrLy5eDNHTffRx/87OKq+nh\nx4sXgV9/NWztHS16hIoVWTNnR7XumBh+IrvnHnP7EVonecS8+GLmnLRsyUlCv/5qWhd+OXSIHT9t\n22rb35B5uesuvjDv3q2/LT+0bx/AriBSFH4kYgPs9tuD92fXORQVxfdhNaSmAomJ4BIUXbsarwPL\nswbYsWNB0vpUsnw50K0bABb0HTyobvfYWIuW5tFIoUJAmzYKDPyKFfks8xODM12AP2UKxwArVjSx\nk+AMGsTXJav57DPg6adZiyYQ5Aeeew749FPrS1LMmcMh0CCOH3MJCwMefxz48kvTuvAaYLLzGxPD\nC3O2aROwjaNHeZ7Cw00ZoiFERqo3wI4cYeVN4cIAundnO8AoiID16/OoAda+Pf84I/B42OuTuQJ8\nVBQfl2qw2wOmJO6eufB7cAYPlrU+UlK4qF/r1urHp4jUVOCLL4DnnzesSa16hEGDeFk0P45AU0hM\n5JT4xx83vy+hdZJHzIsvZs/JXXex5NOsKgByEAGzZwOPPKK9DcPmZcwY1oGdOWNMe7moWhUoVcpP\nlqDX+xVEU7JxIxAdrUx6Ytc55DXA1BjyMTHZHCcuFzdglGPnwIFb4jQdONMA69LFuDDkjh1cnjlz\nJdbWrfkjpXg8rAGz0wBTQnQ0n0hBufdezgg5dSrHxzExXGbDrNIImDOH4/AOcCVWrswGq8o1ynUx\ncSJnht12m3V9CgR2U7Ag8Oyz7P21ih07uARFu3bW9emXihX5odcCL1gOUlO51uKjjwbdX2n40U6q\nVeN7sRo7dseObA6FokU5ChYgCU0VBoQfAacaYJ07G2eALVqU5f0C+A+yfbvy3Q8fBsqWtffGqSTu\n7i3KF3TV+FKl2AWUq1KzqeFHjwf45BPghRcMbVaPHuGRR/gp2QquXwe++w545hlr+hNaJ3nEvPhi\nxZwMH85FWQ8fNr0rALe8X3qSiQydl+ee42yE69eNazMbskL8X35hsauC1H2vB0wJdp1DksTP7mqE\n+Nu354ro3HGHcZW487QB1qEDV8w8f15/W3/+maMSX506vHyTUkva7vCjUipWZM/O338r2HjMGLYI\nsqUnrV2r/CRUzeLFLFSzbEG24Nx9N1ejt6Io6/ffs1M30wkrEOQrSpYE/vUv4PPPze8rPZ0TvYcM\nMb8vxdSrx94Xk5Yn6thRpszVpEmK0q2vX+doWqtWpgzNUNTowDwejurkMMD69+e1qfSm5WZkcDsG\n3M+caYAVLcoVM/Vaq6dO8WNXNstCktSFIZ0gwFcad1esA4uM5GJff/4JgL3Vq1aZuC72xx8D48cb\nXt9Cjx6hRAm2yxcsMG48cqSk8M832PkXEKF1kkfMiy9Wzcm4ceyZOnvW3H5WrmQxud51ew2flxde\nAP73P23VRIPQujUXvD1xIvODffs402zgwKD7btvGt4MiRZT1Zec5pMYAO3SII1cVKmT7sHp1Pjj0\nChK3bGFvR926+tqBUw0wgA+e33/X18Zff7FVkauAV5s26gywUPCAASp0YMCtFXPB+9Svz8eU4Wzc\nyOkoDz5oQuP6sCIMOW0aV3J2usZCIDCTatX4fPvwQ3P70Su+N422bfmGPWeO4U0XLMi3uSx50+TJ\n7HJUULgyFPRfXtQYYNu3+0n+NCIM+dtvioxbRRCRo148JCK6cIGoVCmiGzdIMwMHEs2a5fPxjz8S\n3XmnsiZq1SI6eFD7EKwkNpaoQQOFG9+8SVShAlFCAr30EtHrr5swII+HqHNnomnTTGhcP2lpRFWq\nEO3da077SUlENWoQbd5sTvsCQSiRmEh0221Ep06Z0/7Fi0RlyxKdPWtO+7pZt44oPJwoOdnwpmfO\nJLr3XiK6do0n+dgxRfsNGED000+GD8cUUlKIihblW1cwnn+e6L33ZL7YsoWoSRPtg/B4+Ca7bVuO\njzPtFtX2jnM9YOXKsQm7YoW2/ZOTgdWrgb59fb5SGoK8dImzVkNFu9O0Kbv4FUnnihUDhg4FJk3C\n4sVAv34mDGjJEh6MgkwcOwgLA556yrwMrSlT+KnN9LU1BYIQoFo1YNgw4IMPzGn/m2+47EWlSua0\nr5tOnVgYb8Ii3X36sIwkbeZc7kdBeQQ1BVidQOHCnFOwd2/wbX0E+F7atOEKvWqrsXuJiwNu3jSs\nXpNzDTBAXxhy5Uo+2HMEgZnatdk+C7ZQ7O7d3IStxfygPO5esCCnXisOQz77LBKnLMaJ4x7jU7Y9\nHuDVV4H//pctHRMwQo8wZgxX6jZ60eCkJOD994G33jK2XSUIrZM8Yl58sXpOXnoJmDWL6+IZSUoK\nMGECS02NwLR5ee89fl27ZmizlSoB9et5sPHtFTzJCjh4kJPiq1VT3o/d55CSMKSsAN9LgQIsxtdq\nV/z+O9slBumZnW+A/fGHgtoKMkyZwo9bMigV4sfEhI7+y0vv3ipC3DVrYknr19CrYqzxNtKCBaxB\nMHvdHZ2UL88ZU0aX6fn6az7GghShFgjyFVWq8Epk77xjbLtz5vCSbM2bG9uu4bRowdlz//uf4U33\nrbgTi4vfx2mRCvjjD851CyWUFFJPSOAAmt81socOZftAy/IMXgPMKLTELc18wasB8xIZybFzNSQm\nshjg6lW/m7z8MtFbbwVupk8fogUL1HVtN0ePEpUvz/FyJdw34CZNL/4k0cmTxg0iKYmoXj2ilSuN\na9NEDh3iOQtwuKgiMZHbi4szpj2BIC9x8SJR5co+MhrNZGSwrGfFCmPaM52EBKJy5YhOnzauzZs3\naUOFu6hFA+Wa6datQ+YSnUVMDFHduizF8scPPxDdd1+ARjweooYNidavV9f5qVNsV8jcXJHnNGBe\nBg7krAM1TJvGWXelSvndJFgm5JUrHMqTkZA5mvBwjpMrkc6lpQErNxRD32GVgXffNW4Q//kPP6p0\n725cmyZSty4PdepUY9p7/nngiScU1UAUCPIdt93G2ZBjxmgLbuRm8WLWB4XI5YZFxaNHswDVKCZP\nRvvogjh5obii8G58PIeBu3Y1bghWEBnJx0wgHdiOHUEiD5LEa8J9+626zhcuZIPAyMV8tVhtZr6Q\n2wMWF0dUsSLR9evKrNT0dE5d3LEj4GZHjhBVrer/+7lzifr3V9al2axevVrV9hMmED36aPDt1qwh\natmSiM6d4yeyw4c1jS8H27cTVapEdOaM/raCoHZeArF1K1HNmsoPM38sX05Uu7a+5F29GDkveQkx\nL77YNSfeBOmvv9bXTkYG0e23s9fDSEyfl6QkokaNOCVfL9eusUsxNpYGDSKaMiX4Lu+8Q/T00+q7\ncsI59MwzRG+/7f/7rl2Jli0L0si5c0RlyrA7VgkeD1GLFkR//in7NfKsBywigsuIf/edsu2XLWNF\nYpDSvuHhXBDXXzLE779ztfRQ5IEHOL6flBR4u6lTgfvvBycq/PvfwJNPaouLe0lNZYHHp5+aVFTM\nPNq25ZUl3nxTexspKfxQO2ECr9MqEAjkkSTWSb7xhr7irN99x6LrQYOMG5slFC3KF+Bx4zgrTw+v\nvMLi3xYtcP/93Gywy/i8ebxOdyhy993+NfRJSawRC1rZv0IFFuPPnKms07/+4n+NLhegxWoz84Xc\nHjAi9qrUqKFM2DRwING33wbfjoiefZa1YLlJTuZQr5Eheqvp3p3o55/9f3/0KJeLyXoASE0lateO\n3WdaeestdhsGCtA7mLNn2Xm3fbu2/Z96KrMWj0AgUMTLL7PWNj1d/b6JiVzKcPdu48dlGc88Q/Tw\nw9qvmX/9xRGfzAt5ejpR/foc3fDHnj28S0aGti7tJi2NNbbHj/t+N3WqisiV203UuLGyue/YkcNi\nfoBGD5jtBpfPgOQMMCKiXr2C+1b372er4tq1wNtlEh/P0c3chd2WLCGKjlbUhGP55huiBx7w//24\ncUQvvJDrw/h4vqJpqUz6449E1aoRnTihfl8H8f33HJZNS1O335QpRBERRJcvmzMugSAvkppK1K0b\n0Ysvqt/3vvuIXnvN+DFZyvXrRM2bE334ofp9z55lHU2usOC33xL16+d/t9deIxo/Xn13TmLYMKIv\nv8z5mcdDFBVFtHixwkY8Hg4DL1oUeLu1azmpLMBNwRYDDMD9APYCyADQKsB2fQHEATgI4KUgbcr/\nwtWruQKtv0el1FSiNm2IJk3yO0ly9O/PVnN2nniC6KOPVDVjKlri7ufOEZUuLZ/Z988/bKcmJsrs\nOGUKx7qTkpR3tmYNW7IxMarHqQcz9AgeD1HPnkTvvqt8n40b+ec7JevRCToNJyLmxRcnzMm5c6yb\nnDNH+T4//cSJbGouU2qwdF5OnmSX1MyZyvfJyCC66y5ZyzU5mZ+F5S7HGRlsS2j18jvheCEi+vVX\noh49cn62di2bCKo8e8uXc3QtkBasX7+gUTWtBpheDdgeAPcAWONvA0mSCgCYCKAPgKYABkuS1Eh1\nT127cmGPWbPkv3/3XaBiRc4uUcG4cVwDijJj5h6P8/Rfu3btUr1PhQrAffdxNh7l0gN8+SVrv2QL\n8I0cyakmvXvzMgDB2LOHRWdz5li+armWeQmGJLGu5JtvgC++UDIGnsvp052T9WjGvOQFxLz44oQ5\nqVCBE93HjQOWLg2+/e+/cwblrFkspTIDS+elenXWGI0fr2wCkpOBhx/m67NMQbUiRVjSK7fu5ttv\ncy22oBopPzjheAH49rR1K69W4+XLL4Gnn1ZZOL1nT65V6S8jdeNGrsg+dKiu8fpDlwFGRAeIKB5A\noLKw7QDEE9ExIkoDMA+A+kpmkgRMnAi8/LLvCspbt/ICpFOnqq5Q26sXryywYQOLqD/9lFdRb9BA\n9QhN4/Lly5r2++orrnacfemPkyd5De4XX/SzkyQB33/P6+dER/vPUvB4+Ijv1o0tlZ49NY1RD1rn\nJRi1awNr1/Lh9s47/gWt06bx8fPpp8CAAaYMRRNmzUuoI+bFF6fMSWQk8PPP/Pz39tt8eZFj9mx+\nxl68GMav3pENy+elaVOegKFDWVSfkiK/3cWLvO5QejonnPkpiTB6NLB8ec5SSwsW8IPiTz9pL+Tu\nlOOleHEuO/J//wdcvcr3tRUr/NZeD8wHHwA7dwLz5+f83O1mT8ykSWzVmoA5a8TkpDqAE9nenwQb\nZepp3ZoXvOrbFzh3DujQgZ8cpk/n1LOqVVU3WaAAMHYs8Mwz3GSzZpwhkhcoVoyfLNu356TEvXvZ\ntnrxRaB+/QA7FigAfPwxp4p26AA88ginGbVpA5w4wU8En37KWY8bNjjH9WMg4eHAunVsYG3ezNXy\n77yTr4vr1/O5umsXsGYN0KSJ3aMVCEKfLl14Db9Bg/jcGzmSPytfnm2NBQv4nrhqVR495zp14nV2\nxozhe90bb3BUoV49fpKeP58v4PffD3z0UUBXT6lS/Fzcrx/fLr1OnmXL2AOWF5gwAXj9db6XNWrE\n1+jSpTU0VLw4W/Z9+/LFfsAAdq099RTPebduho/dS1APmCRJyyVJ2p3ttSfz3ztNG1UgmjThO+D3\n37OZn5bGZ+aDD2pucvhwti0WLGB7rkULw0ZrCEePHtW8b/XqwC+/AC+8wA9N+/axE1ERY8fyFa9E\nCV5Qu3hxXrn1q684vrluna3Gl555UUKVKrxY7YMPcoS1WjUu2jp5Mj+xb93qzBuB2fMSqoh58cVp\nc1K1KhtY99zD1+PISF5W5tNP+VkwJsaac862ealShS/Yr7/ORkGfPnz97dkTuHyZvQOffKIozjZk\nCBdcrVcPGDWKr1stW+obnpOOl1q1uIrE2rXsOHnuOR2NtWnD97py5ditNn48sGSJqcYXAEjkL76i\nphFJWg3geSLaKfNdBwBvEVHfzPcvgwVrMhFqQJIk/QMSCAQCgUAgsAgiUh3YNTIE6a/zbQDqS5IU\nDuA0gIcADPbXiJYfIRAIBAKBQBBK6BLhS5J0tyRJJwB0ALBIkqTFmZ9XlSRpEQAQUQaAsQCWAdgH\nYB4R7dc3bIFAIBAIBILQxZAQpEAgEAgEAoFAOc5fC1IgEAgEAoEgjyEMMIFAIBAIBAKLEQaYQCAQ\nCAQCgcUIA0wgEAgEAoHAYoQBJhAIBAKBQGAxwgATCAQCgUAgsBhhgAkEAoFAIBBYjDDABAKBQCAQ\nCCxGGGACgUAgEAgEFiMMMIFAIBAIBAKLEQaYQCAQCAQCgcUIA0wgEAgEAoHAYoQBJhAIBAKBQGAx\nwgATCAQCgUAgsBhhgAkEAoFAIBBYjDDABAKBQCAQCCzGEANMkqSpkiSdlSRpd4BtJkiSFC9J0i5J\nkqKM6FcgEAgEAoEgFDHKAzYdQB9/X0qS1A9APSJqAGA0gMkG9SsQCAQCgUAQchhigBHRegCXAmwy\nEMDMzG23ACgjSVJlI/oWCAQCgUAgCDWs0oBVB3Ai2/vEzM8EAoFAIBAI8h1ChC/4//buPN7Gcv3j\n+Oc2ixKJSpNU9KvOL5FosulUklBHUk6k0+SQX5NQKk3H0CAiISdDOiFDhkjFzjwVHZWpOlKZmpzK\n1Mb9++PaynH2tqe1173Ws77v12u/bHs/1ro8+9nPutZ9X/d1i4iISJwVi9PzfAOccMDfj8/82n9x\nzvm4RCQiIiISA957l9d/E8sRMJf5kZXJQBsA51xdYJv3fkt2D+S9T76Pr77CP/00/oIL8OXK4Zs3\nxz/7LH7RIvyOHXl7rG3b8HPn4nv1wl9+OY+WKIFv0AD/0kv4rVvD/18T5OPRRx8NHkMifui86Lz4\n77/Hv/wyvlEj/OGH4y+9FP/EE/j0dPwPP+TtnOzYgV+2DN+vH/5Pf8JXqIA/7zx8z574L74I/3/V\ntaLzEvgjv2IyAuacew1IA45yzm0AHgVKWC7lh3jv33LONXbOfQZsB9rF4nmD27sXpk2DoUNh/nz4\n05/g4YehQQMoWTL/j1uuHFx0kX106QIPPQTnnQdjx0LXrnDZZdChA1xyCbg8J90iEkXew8KFMGgQ\nTJli94l27WDcOChbNv+PW7o01KplH506QUYGzJkD48dDnTpQsybccQc0bQrFi8fu/yMScTFJwLz3\nN+bimI6xeK6E8OuvMGoU9OkDRx4J7dvD669DmTKF83zFi0Pz5vbx008wcqQ9Z7Fi0L07tGgBRVTO\nJ5KSvLeE68kn4ccf4c474fnn4aijCuf5iheHSy+1j+ees0Ts+efhvvvggQcs6StdunCeWyRC9Kqd\nF3v3wvDhcOqpNho1eDAsWgQ331x4yReQlpb2+1+OOAI6doRPPoFevewGePbZ8MYbdiNOIf9xXuQ3\nOi9Zi9x58d5G4GvWhEcftdHyNWssEcpl8lXgc1KqFLRuDXPnwj/+ATNmQLVq8OKLNlKWpCJ3rcSI\nzktsuYLMXxYG55xPtJgAeOcdu7Edfjg8/TRccEHoiIz3MHOm3XwPPxz69oXatUNHJSKFaeVKuPde\n+Ppr6N0brr46ccoRli+Hzp0ttj59Eis2kULgnMPnowhfCVhONm+Ge+6xka7nnrNpwES8mewfneve\n3W54+6dHRSQ6tm+HRx6BV1+1P2+/PTHrrry30bB774XTToMBA+DEE0NHJVIo8puAaQoyO97DsGE2\nvXfyyTbld801iZl8ARQtCn/5C6xebZ+fdRZMmhQ6KhGJlbfftt/rb7+1+1GHDomZfIHdJ6+8Elas\nsBH5c8+Ffv1g377QkYkkDI2AZWXLFrjtNvjqKyt4P/vssPHkx5w5cOutULeuvfs84ojQEYlIfuzY\nYVN606bBkCFw+eWhI8q7NWt+L84fMQKOPz50RCIxoxGwWJk+Hc45x95pLl6cnMkXWIuK5cutSPac\nc2x5uogkl+XLrf3Dtm02mpSMyRdA9er2prBBAxsNGzcudEQiwWkEbL+9e20l0fDh8NprlsBExcSJ\ntjS9SxerZ0vUaVQR+d3LL0O3btbioXXr0NHEztKlcP311jesTx8oUSJ0RCIFoiL8gvjuO7shOGfJ\nV6VK8X3+eFi/3hrFnnqq1bYVpDGjiBSenTut1czChdZj64wzQkcUez/+CG3b2r133DioUiV0RCL5\npinI/Pr4Y+vmXKeOFblGMfkCW0gwb571K6tb1xIyEUksmzZBWhr88gssWRLN5AugfHlbJHT11XD+\n+TYqJpJiUjsBmzoVGjaEJ56Anj1t9WCUlS5to1+33259zBYtCh2RiOy3YoW9OWrSxHbWiPoodZEi\nNsU6cCA0bgxjxoSOSCSuUncKctAgS7wmTrR3YKlm2jTr4D9wILRsGToakdQ2fTq0aZO6v48ffWQ1\nYXfeafvdqk5VkohqwHLLe9swe8yY37fNSFUffQRXXWU3vI7R2apTJKmMHGltJiZNgnr1QkcTzsaN\n0KiRTcH27Rv9GQmJDCVgubF3r02/rVxp049RrffKi3/9C664Alq1gsce0ztPkXh6+mnr0zdjRnTr\nvfJi2zZo1gwqV4ZRo6BkydARieRICVhOMjLgppusi/Sbb0a/viIvtm61Goy6daF/f6vNEJHCs38k\nfsIE28tVjUl/t2sX3HAD7N5tq0BLlw4dkcghaRXkoezaZS0Ytm+32iclX/+pUiV47z1r+njH2Mr7\nFgAAIABJREFUHdouRKQweQ/332+j8O+/r+TrYKVKwdixUK6clUj88kvoiEQKRfQTsN274dpr7V3U\nhAn2yy3/rVw5a8Oxbp0V5+/dGzoikejxHu66C+bOhVmz4OijQ0eUmIoXtw3Hq1a1ujAlYRJB0Z6C\nzMiwFUVFi9qy7mLFYvO4UbZjh61GOuEEa1mh6UiR2PAe7rsP5s+3acdy5UJHlPj27bO63S++sNkL\nTUdKAtIU5MH27rVl3RkZ1t1eyVfuHHaY1citWwf/93/2oiEiBdejh416zZih5Cu3ihSBwYPh2GOt\njGT37tARicRMNBOwffvgL3+xbS7eeEN7jeVVmTL2bnPBAnjoodDRiCS/Pn2srmnmTOsCL7lXtKjt\n0VuqFNx4I+zZEzoikZiIXgLmPXToYEPWkyap5iu/9teEvfmm7RIgIvkzcKCN4rz7rlrf5Ffx4vCP\nf1iJRNu2qlGVSIhWAra/xmL5clthVKZM6IiSW8WK8M47Vgv2wguhoxFJPsOHQ+/elnxpw+mCKVnS\nFlJt2mQd81UeIUkuWglYr15WYzF9OhxxROhoouG44+zF4+mn4ZVXQkcjkjzGj4cHH7Q3MVWrho4m\nGkqXhsmT4ZNP4IEHQkcjUiDRqUx/9VUb5l+wQDUWsXbyyfYikpYGxxwDV14ZOiKRxDZ/PrRvbzVf\n1auHjiZaypa1GY4LL4STTtI2apK0YjIC5pxr5Jxb7Zxb65zrksX36zvntjnnPsz86B6L5/3NrFk2\n9Thtmo3YSOxVr27v6Nu0sSleEcna2rW2Ym/UKDjnnNDRRFOFCvDWW1af+uaboaMRyZcC9wFzzhUB\n1gKXAhuBpUAr7/3qA46pD9znvW+ai8fLWx+wlSvh0ktthVFaWh6jlzx74w245x4baTzhhNDRiCSW\nrVvhggugWzdbiS2Fa9kyG5GfOhXOPz90NJKiQvYBqwOs895/6b3PAF4HmmVxXOx3ef76a9uqol8/\nJV/x0qIF3H237R3573+HjkYkcexvYnzDDUq+4qV2batNbd4cPv88dDQieRKLBKwK8NUBf/8682sH\nq+ecW+Gcm+ac+58CP+tPP1ny1bGj3fAkfu69Fy65BK67zhrdiqS6vXuhdWs47TR4/PHQ0aSWJk3g\n0UdtJOy770JHI5Jr8VoF+QFwovf+HGAAMKlAj7Znj734X3QRdO4ci/gkL5yzUceSJW3zbi0Hl1R3\n3302IjxsmP1+SHzdeafV3TVrBrt2hY5GJFdisQryG+DEA/5+fObXfuO9/+WAz6c75150zlXw3v+Q\n1QP26NHjt8/T0tJIO3h6sXPn35MA3ezCKFbM9tesX9/af3TrFjoikTBeeslWOy5YoF03QnrqKWjV\nyt4UDh+u1wYpNOnp6aSnpxf4cWJRhF8UWIMV4W8ClgA3eO9XHXBMZe/9lszP6wBjvfcnZ/N4hy7C\n//vfrbHh4sVw5JEFil1iYONGqFMHBg2Cq68OHY1IfL3/PrRsCfPm2fSjhLV9u82M3HSTlUqIxEF+\ni/ALPALmvd/rnOsIzMSmNId571c55+6wb/shQAvnXHsgA9gJXJ+vJ5s/H7p2hblzlXwliuOOs5WR\nTZvai9EZZ4SOSCQ+1q+3EZdRo5R8JYoyZawtRd26cOaZcMUVoSMSyVaBR8BiLdsRsA0b7Jdq2DA1\nAk1Er7xiPXkWL1YjXIm+7dut3cTNN1tbFkks8+ZZTdjcuXD66aGjkYjL7whYciRg+4eV//xnK3aV\nxHT33bB6tTXELVo0dDQihcN7m3YsU8beeKjWKDG9/DI884y9KSxXLnQ0EmHRTcC8h+uvtz3AVFiZ\n2PbsgUaNoGZN2ztSJIqeeMLeZKSnQ6lSoaORQ7nrLusPNmWK3hRKoQnZiLVw9epl04+DByv5SnTF\nisGYMTBhgu3NKRI1b74JQ4bAxIlKvpLBc8/B7t22KbpIgknsEbCZM63GYulSqJJVb1dJSB9/DA0a\nwNtvw7nnho5GJDbWrIGLL7Ztb+rUCR2N5Nb330OtWpaMXXtt6GgkgqI3ArZ+vS0l/sc/lHwlm7PO\ngoEDbduiH7Js9SaSXLZvt6LuJ59U8pVsjjoKxo2zZq1r1oSORuQ3iTkCtmMHXHghtGljhd2SnO65\nB9atg8mToUji5voih+S9bTNUsqT1IVQpRHIaMgT697ei/DJlQkcjERKtIvxbbrGNbV97TTe7ZJaR\nYVORjRpB9+6hoxHJnwEDbEXdggVw2GGho5H88h5uucVqwkaP1muLxEy0ErAzzoAlS6Bs2dDhSEFt\n3Ai1a8OIEXDZZaGjEcmbhQuheXNLvqpVCx2NFNTOnda/rV076NQpdDQSEdFKwD79VB3VoyQ93TqG\nL1kCJ56Y4+EiCWHrViveHjQImjQJHY3EyhdfQL16tlr7wgtDRyMREK0ELMFikhjo0wfGj4c5c6yW\nRiSR7dlj29jUq2eF9xIt06bZpt0ffACVK4eORpKcEjBJbN7bEvDjjrMVkiKJ7OGHbfrx7bfVwDOq\nune3gvwZM/QzlgKJXhsKiRbnbCeDGTNs826RRPXee7bacfRovTBHWY8e8OuvtoetSAAaAZP4WrYM\nGje20QUVNUui2bLFmgePHAmXXho6Gils33xji4Refx3q1w8djSQpjYBJcqhdGx56yPb33L07dDQi\nv9u3z5o/33KLkq9UUaWKbajeurUtuhCJI42ASfztrwc76SR4/vnQ0YiYnj1h+nSYNcv2NZXU8eCD\nVpA/fbqaRkueqQhfksuPP9pUT9++1mdJJKT5822roWXL4PjjQ0cj8bZnjzWNbtwYunULHY0kGSVg\nknwWL4amTe3Pk08OHY2kqh9+gJo1bXWu+n2lrq+/thKJceNs03WRXFICJsnp2WfthjdnDpQoEToa\nSTXe2wjsqafatSip7a23rD/Y8uVQsWLoaCRJKAGT5OS9jYJVrw7PPBM6Gkk1/fpZu4l58/QGQEyX\nLrByJUydqnowyRUlYJK8vv/e6sE0BSTxtL8lyqJFcMopoaORRJGRAWlp0KwZPPBA6GgkCSgBk+Q2\nf76tjFy2DE44IXQ0EnU//WRJf8+ecN11oaORRLNhA5x3nvaLlFxRAibJr1cvmDLFNu8uXjx0NBJV\n3sMNN0D58rbRtkhWpk6FDh2sHqxChdDRSAJTAibJb98+uOoqW5H2t7+FjkaiauhQGDDAph5Llw4d\njSSy++6Dzz6DSZNsOzWRLATthO+ca+ScW+2cW+uc65LNMf2dc+uccyucc+fE4nklYooUgREjbBuY\nd94JHY1E0ccfW9PNMWOUfEnOevaETZugf//QkUgEFTgBc84VAQYAVwBnAjc452ocdMyVQDXv/WnA\nHcBLBX1eiahKlSwBa9sWNm8OHY1Eyfbt0LKlrbatUSPn40VKlLB9Ip96yupTRWIoFiNgdYB13vsv\nvfcZwOtAs4OOaQaMBPDeLwbKOecqx+C5JYoaNoRbb4U2bWxaUiQWOnWywuq2bUNHIsnklFNsyrpV\nK1u8IRIjsUjAqgBfHfD3rzO/dqhjvsniGJHfPfII7NoFvXuHjkSiYPRoW2k7cGDoSCQZtWwJf/wj\n3H67LeIQiYGE3HG2R48ev32elpZGWlpasFgkkGLF4LXXbGuQSy7RUnDJv7Vr4e674d13oWzZ0NFI\nsurbF84/H15+GW67LXQ0ElB6ejrp6ekFfpwCr4J0ztUFenjvG2X+vSvgvfe9DzjmJWC2935M5t9X\nA/W991uyeDytgpTfTZkCHTtqKbjkz65dUK+ejVy0bx86Gkl2q1fbPpGzZ8NZZ4WORhJEyFWQS4FT\nnXMnOedKAK2AyQcdMxloA78lbNuySr5E/svVV1uD1r/8RUP/knedO9s+j3feGToSiYIaNWwRR8uW\ntqhDpABi0gfMOdcI6IcldMO8972cc3dgI2FDMo8ZADQCtgPtvPcfZvNYGgGT/7R7t01Btm0Ld90V\nOhpJFhMmwP33w4cfwpFHho5GoqRNG2sWPWxY6EgkAagRq0Tb55/bVNLbb1ujVpFDWb8e6tSxbuZ1\n6oSORqLml1+gVi1bLNS6dehoJLCgjVhFCl21atYM8frr4eefQ0cjiSwjw7Ya6tJFyZcUjrJlrZnv\n3XfbIg+RfNAImCSXW2+1KcmRI7U1iGStc2dYtQomT7bdFUQKy4sv2tZWCxdCqVKho5FANAUpqWHH\nDmum2bkz3Hxz6Ggk0UybZqsdly+Ho44KHY1Enfdw3XVw7LHwwguho5FAlIBJ6vj4Y2jQAObMgTPO\nCB2NJIqvvrLkfPx49Y2T+Nm2zepSn33WVmxLylECJqll6FB7x7l4sTZVFqv7atAAmjSBrl1DRyOp\nZvFia5mzZAmcfHLoaCTOlIBJavHeCq3Ll4dBg0JHI6F16wYrVtgUpOq+JIRnnrHR1zlzrEWFpAwl\nYJJ6fvoJzj0XevWCFi1CRyOhzJhhW8N8+CEcfXToaCRV7dtnI7Bnn609bFOMEjBJTcuWQePGNgVQ\ntWroaCTevvnG+jGNHWt7hoqE9O23Vg82dChceWXoaCRO1AdMUlPt2lbzc8MN8OuvoaOReNqzx37u\nHTsq+ZLEcPTRMHo0tGsHGzeGjkYSnEbAJPl5D82aWbPWvn1DRyPx0r27jXzOmAFFi4aORuR3jz9u\nG3a/+66uzRSgETBJXc7B8OEwaZIVwUr0vfMOvPIKvPqqXuAk8Tz0kN2XnnwydCSSwDQCJtGxvx5s\n/nw47bTQ0Uhh2bTJFl+MHg0NG4aORiRrGzdafeJrr1mLFIksjYCJ1K4NPXrYisidO0NHI4Vhf93X\nHXco+ZLEdtxxMGIE/PnPqgeLstdfz/c/1QiYRIv3cOONUKYMvPxy6Ggk1jp3hpUrrd+Xph4lGTz+\nuE2Zz5ql/mBRM3IkPPUUbu1ataEQAeDnn6FOHVsd2bZt6GgkVsaPh/vugw8+0D6Pkjz29wc74wzb\nrkiiYcUKuOwySE/HnXWWEjCR33zyCaSl2bvOs88OHY0U1Jo1cNFF8NZbtt+jSDL5/nsrkXj6aTWN\njoIff7Sf51NPQatWasQq8l9efdWG/5csgSOPDB2N5Nf27XD++dCpE9x+e+hoRPLngw+gUSOYNw+q\nVw8djeTXvn3W9uiUU6BfP0Cd8EWy1qkTfPEFTJ6sPQKTkffQujWULAl//7st7RdJVkOHwvPPW/+6\nsmVDRyP58eST1ntw1iwoUQJQAiaStYwMuPRSWwb+2GOho5G8euEFGDYMFi6E0qVDRyNSMN7DLbfA\n7t3WRkVvKJLLzJm2y8HSpbbKNZMSMJHsbNli8/UDB0LTpqGjkdyaNw+uvdaSr2rVQkcjEhs7d8IF\nF0CbNnDPPaGjkdz68ksrhRgzBurX/49vKQETOZTFi+Hqq2HOHKhRI3Q0kpMNG6BuXZt2bNQodDQi\nsfXll3Z9jxxpK+kkse3YYYuAWre2ldgHUQImkpNhw+CZZywZO+KI0NFIdvbf7G68Ee6/P3Q0IoVj\nzhy47jrbuePUU0NHI9nxHlq1sjrUESOynDYOkoA558oDY4CTgPVAS+/9v7M4bj3wb2AfkOG9r3OI\nx1QCJoWnfXvYvNl6SqkoP/F4b53uixe30QHVyEiUvfSS1TkuXKg3hYnqySdh6lRIT4dSpbI8JNRW\nRF2Bd7331YFZQLdsjtsHpHnvax4q+RIpdP36wdatKshPVL162arVIUOUfEn03XknXHwx3HSTtTeQ\nxDJxIgwebH9mk3wVREETsGbAiMzPRwDNsznOxeC5RAquRAmYMMFGV0aPDh2NHGjqVFsoMXGiVjxK\n6ujf3xp7Pvpo6EjkQCtXWt/BCRPg2GML5SkKmhRV8t5vAfDebwYqZXOcB95xzi11zt1WwOcUKZjK\nlWHKFFuBtGBB6GgEYNUqW57/xhtQpUroaETip0QJu+5HjoRx40JHIwDffWfNVvv1K9SdN4rldIBz\n7h2g8oFfwhKq7lkcnl3x1oXe+03OuaOxRGyV935enqMViZWzzoLhw+FPf7IkrGrV0BGlrm+/tfYg\nffrYyjCRVFOpEkyaBFdcASeeaO0OJIxff7Xtoq6/3hYCFaIcEzDvfbZrZJ1zW5xzlb33W5xzxwBb\ns3mMTZl/fuucmwjUAbJNwHr06PHb52lpaaSlpeUUpkjeNW4M3brZRrkLFkC5cqEjSj07d1rydf31\ncPPNoaMRCadmTWu70ry59cBT77v48x5uu81eC556KtvD0tPTSU9PL/DTFXQVZG/gB+99b+dcF6C8\n977rQcccBhTx3v/inCsDzAQe897PzOYxtQpS4sd76NAB/vUvm5YsluN7EomVvXuhZUur9xo1SkX3\nIgAvvmhTXwsXQoUKoaNJLY88Am+/DbNnw2GH5fqfhWpDUQEYC5wAfIm1odjmnDsWGOq9b+KcqwpM\nxKYniwGjvfe9DvGYSsAkvvbsgauugtNOsyXhSgTi4957Yfly21etZMnQ0Ygkjs6drV/hzJmFsvpO\nsjB0KPTubbMhlbIrZ8+aGrGKFMS2bbYcvHVr6No15+OlYPr1s+Xd8+dD+fKhoxFJLPv22bR8sWK2\nWls9CwvX9Om2x+PcufZGPI9C9QETiYYjj7SRmMGD4eWXQ0cTbRMnWsH9W28p+RLJSpEitiryyy+h\ne1br3SRmPvgA2ra1+1I+kq+CUMGLyH5Vqtj8f/36ULGiFcNKbC1caL11ZsyAk08OHY1I4ipdGiZP\nhnr17N7UoUPoiKJn/XpbBDR4sJ3nOFMCJnKg00+3hqBXXmmjMwftei8FsHy5JbUjR0KtWqGjEUl8\nFStaHVj9+lC2rI3USGxs3mxtP7p2hWuuCRKCpiBFDlarFrz+um2Uu2JF6Gii4dNPre3HoEGW3IpI\n7lStaklY167WsFUK7rvv4LLLrOb3rruChaEETCQrDRvacvCrroLPPw8dTXL7/HO4/HJ4+mm49trQ\n0Ygknxo1rFC8QwernZT827bN7kdNmsDDDwcNRasgRQ5lyBD4298gPV01S/nx1VdwySX27v2OO0JH\nI5LcFi2ymqWxY0ENyvPu558t+apTB55/PmYth9SGQqSwvPAC9O1rSdiJJ4aOJnls3mzJV/v2tu+m\niBTc7NnWomLKFG1ZlBc7dlj5Q40a8NJLMe33qDYUIoXlrrvso2FDG9GRnG3dajUWN92k5Esklho0\nsH1smzaFJUtCR5Mcdu2yBUAnnWR1qAnSbFsJmEhu3HMP/PWvthrpX/8KHU1i27jRztM116iHkUhh\naNzY+hU2aWLNjCV7O3ZYslq+vO21mUBNbRMnEpFEd++9cP/9llysXRs6msS0YYOdnzZt4PHHE+ad\npkjkXH217aHavLmVR8h/++knaNQIjj3WdhRIsL1+lYCJ5MVf/2qJRYMGalFxsNWrrearQwfo1i10\nNCLRd8UVMGaMtcx5883Q0SSW77+HP/4RzjwTXnkl4ZIvUAImknc33wz9+9tqmlmzQkeTGBYtslVZ\njz0Gd98dOhqR1NGwobWmuPNOm2IT63B/4YW/txNKoGnHA2kVpEh+vf8+tGxpqyRbtgwdTTjTpllS\nOny49U0Tkfhbs8am2269FR58MHWn/1essNq4Ll3i1mRVbShEQvjnPy3paN/ept1S6abnvSWfPXva\nRrZ164aOSCS1bdxotWFnn209DEuUCB1RfE2dCrfcYqNeLVrE7WmVgImEsnEjNGsG1avbyqRSpUJH\nVPgyMqBTJ5g71256alIrkhi2b4c//xl++AHGj7f9JKPOe3j2WevXOH583N8Mqg+YSCjHHWfTkRkZ\ntgIw6r3CNm+2Hl8bNsCCBUq+RBJJmTKWhFxwAdSuDR98EDqiwrVjh5VAjB4NCxcm1Ui8EjCRWDjs\nMNvAu0ULOO882zw3iubPt5t6/foweTIccUToiETkYEWKWGnAs89aXdiwYaEjKhxr11rCtWcPzJuX\ndDuVaApSJNbefx9uvNFqER55BIoXDx1Rwe3da5tp9+1rS7obNw4dkYjkxurVcO21cO65MHAglCsX\nOqLYGDMGOnaEJ56wfWYD1t9qClIkUdSvb8P+y5bZUuhkb9q6YYMt554xA5YuVfIlkkxq1LB7Udmy\nULOmlQ0ksx9/hNat7c3tjBnWfiNJFz8pARMpDMccY7152ra1Woz+/W0UKZns22crqWrXtqTrvfeS\nbohfRLASiZdeguees9Gw+++3Yv1kM2MG/O//QoUKsHw51KoVOqIC0RSkSGFbs8aGyLdvt4SmZs3Q\nEeVs9Wq4/Xb49VcYOtSWtYtI8vv2W9vbdsECS8ouvzx0RDnbtMliXrIkIWPWFKRIoqpeHWbPtm2M\nGjWynmFbtoSOKms//GA3uosusu1N5s9X8iUSJUcfDa++CgMG2L2oWTNYty50VFnbtQueeQb+8Ac4\n5RT4+OOES74KQgmYSDw4B+3awapVULq07U/25JO2WWwi2L7dbnQ1athN79NPrYt00aKhIxORwtC4\nsf2eX3QR1Ktnv+/ffBM6KrNnj200Xr26vQmcOxf+9jebSo2QAiVgzrkWzrmPnXN7nXPnHuK4Rs65\n1c65tc65LgV5TpGkVqGC1WEsXmzJ2CmnwMMPw3ffhYln2zZbrn7KKRbT7NkwaBBUqhQmHhGJn5Il\noXNnS8RKlrTR7g4d4IsvwsSzaxcMHmyJ15Ah1ttr4kR7YxhBBR0BWwlcA7yf3QHOuSLAAOAK4Ezg\nBudcNM9mIUlPTw8dQkJK6vNSrZrdXBYvtunIU0+Fm26yXjYFrIHM8bx4b6s0b70Vqla1m+/s2TBu\nnI3MRVRSXy+FROckayl3XipVshHw1avh8MOhTh3bYu2tt2w0KlOhnZc1a+CBB+Ckk6y/4IgRNup1\n0UWF83wJokAJmPd+jfd+HXCo4rM6wDrv/Zfe+wzgdaBZQZ431aTczSCXInFeqlWzd3qffWbF+bfe\nCqefbhvJLlliKxHzKMvz4r1tUvvww/A//2MNY6tVsxvuqFH2tYiLxPUSYzonWUvZ81KpEvTqZa1n\nWrSAxx6DKlWsfnX2bNLfey92z/XZZ9Zb8IIL4JJL7Gtz58K0aZFPvPYrFofnqAIcuDfL11hSJiL7\nVawI995rBfAffggTJlgLi61b4eKL7eMPf4AzzrAb4qH63nhv2wV98okVrc6bB+np1rX+mmtg+HB7\nh5ukvXNEpJAddpjVrLZrB59/DmPH2gjVRx/ZqP0ll1g7iLPPtlGrnO4l339vo1wrV1pN17x5sHOn\nLQB45BHrM5hqG4eTiwTMOfcOUPnALwEeeMh7P6WwAhNJSc5Zb5tateCpp2yj77lz7YY1dapNF27f\nbu9UK1b8vau197Yn2pYtthflgAE2nXjmmdC0qW1Joh5eIpJX1apBt2720aWLjVjNm2dd9VeutPrV\nypWt92HZsrZwp0gR+PlnS7y+/dZ6IFavbvejiy+2x6pe3Y5LYTHpA+acmw3c573/MIvv1QV6eO8b\nZf69K+C9972zeSw1ARMREZGkkZ8+YLGcgszuyZcCpzrnTgI2Aa2AG7J7kPz8J0RERESSSUHbUDR3\nzn0F1AWmOuemZ379WOfcVADv/V6gIzAT+AR43Xu/qmBhi4iIiCSvhNuKSERERCTqglbAOef6OOdW\nOedWOOfGO+eOyOa4lGrkmocGt+udcx8555Y755bEM8YQ1Pg3a8658s65mc65Nc65t51z5bI5LvLX\nS25+9s65/s65dZn3nXPiHWMIOZ0X51x959w259yHmR/dQ8QZT865Yc65Lc65fx7imFS8Vg55XlL0\nWjneOTfLOfeJc26lc65TNsfl7Xrx3gf7AP4IFMn8vBfQM4tjigCfAScBxYEVQI2QccfhvFQHTgNm\nAece4rgvgPKh402k85Ki10tv4IHMz7sAvVLxesnNzx64EpiW+fn5wKLQcSfIeakPTA4da5zPy0XA\nOcA/s/l+yl0ruTwvqXitHAOck/l5WWBNLO4tQUfAvPfveu/3d5pcBByfxWEp18jV567BLZnfT5l1\nvLk8Lyl3vWD/vxGZn48AmmdzXNSvl9z87JsBIwG894uBcs65ykRbbn8nUmoBlPd+HvDjIQ5JxWsl\nN+cFUu9a2ey9X5H5+S/AKqzH6YHyfL0k0s34FmB6Fl/PqpHrwf/xVOWBd5xzS51zt4UOJkGk4vVS\nyXu/BexGAWS3kWPUr5fc/OwPPuabLI6Jmtz+TtTLnDqZ5pyL/tYIOUvFayW3UvZacc6djI0QLj7o\nW3m+Xgq9E35uGrk65x4CMrz3rxV2PIkiRg1uL/Teb3LOHY29sK7KfPeStNT4N2uHOC9Z1V9kt7Im\ncteLxMwHwIne+x3OuSuBScDpgWOSxJSy14pzrizwBvB/mSNhBVLoCZj3/rJDfd85dzPQGGiYzSHf\nAAe28D4+82tJLafzksvH2JT557fOuYnYVENSv6DG4Lyk3PWSWTBb2Xu/xTl3DLA1m8eI3PVykNz8\n7L8BTsjhmKjJ8bwc+GLivZ/unHvROVfBe/9DnGJMRKl4reQoVa8V51wxLPka5b1/M4tD8ny9hF4F\n2QjoDDT13u/O5rDfGrk650pgjVwnxyvGBJDlXLtz7rDMbBznXBngcuDjeAYWWI6Nf1PoepkM3Jz5\neVvgv24OKXK95OZnPxloA7/t0rFt//RthOV4Xg6sVXHO1cFaFEX6BTWTI/t7SSpeK/tle15S+Fr5\nO/Cp975fNt/P8/USj824D+UFoAQ2HQK2auCvzrljgaHe+ybe+73Ouf2NXIsAw3zEG7k655pj56Yi\n1uB2hff+ygPPCzYdNdHZ1k3FgNHe+5nhoi58uTkvqXi9YKsgxzrnbgG+BFqCNUQmha6X7H72zrk7\n7Nt+iPf+LedcY+fcZ8B2oF3ImOMhN+cFaOGcaw9kADuB68NFHB/OudeANOAo59wG4FHs9ShlrxXI\n+byQmtfKhUBrYKVzbjlW5vEgtrI439eLGrGKiIiIxFkirYIUERERSQlKwERERETiTAksIklMAAAA\nMklEQVSYiIiISJwpARMRERGJMyVgIiIiInGmBExEREQkzpSAiYiIiMSZEjARERGROPt/zncAD509\n4WEAAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10b08d090>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEACAYAAABWLgY0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nkhcRyWFK8iIiOUxJXkQkh/1/Rfi+v/OzAxcAAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10ab12c50>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x = numpy.linspace(-2, 2, 200)\n",
|
||
"fig1, (ax_top, ax_bottom) = plt.subplots(2, 1, sharex=True)\n",
|
||
"fig1.set_size_inches(10,5)\n",
|
||
"line1, line2 = ax_top.plot(x, numpy.sin(3*x**2), \"r-\", x, numpy.cos(5*x**2), \"b-\")\n",
|
||
"line3, = ax_bottom.plot(x, numpy.sin(3*x), \"r-\")\n",
|
||
"ax_top.grid(True)\n",
|
||
"\n",
|
||
"fig2, ax = plt.subplots(1, 1)\n",
|
||
"ax.plot(x, x**2)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"For consistency, we will continue to use pyplot's state machine in the rest of this tutorial, but we recommend using the object-oriented interface in your programs.\n",
|
||
"\n",
|
||
"## Pylab *vs* Pyplot *vs* Matplotlib\n",
|
||
"\n",
|
||
"There is some confusion around the relationship between pylab, pyplot and matplotlib. It's simple: matplotlib is the full library, it contains everything including pylab and pyplot.\n",
|
||
"\n",
|
||
"Pyplot provides a number of tools to plot graphs, including the state-machine interface to the underlying object-oriented plotting library.\n",
|
||
"\n",
|
||
"Pylab is a convenience module that imports matplotlib.pyplot and numpy in a single name space. You will find many examples using pylab, but it is no longer recommended (because *explicit* imports are better than *implicit* ones)."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Drawing text\n",
|
||
"You can call `text` to add text at any location in the graph. Just specify the horizontal and vertical coordinates and the text, and optionally some extra attributes. Any text in matplotlib may contain TeX equation expressions, see [the documentation](http://matplotlib.org/users/mathtext.html) for more details."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 21,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEACAYAAABWLgY0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10b1ef6d0>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x = numpy.linspace(-1.5, 1.5, 30)\n",
|
||
"px = 0.8\n",
|
||
"py = px**2\n",
|
||
"\n",
|
||
"plt.plot(x, x**2, \"b-\", px, py, \"ro\")\n",
|
||
"\n",
|
||
"plt.text(0, 1.5, \"Square function\\n$y = x^2$\", fontsize=20, color='blue', horizontalalignment=\"center\")\n",
|
||
"plt.text(px - 0.08, py, \"Beautiful point\", ha=\"right\", weight=\"heavy\")\n",
|
||
"plt.text(px, py, \"x = %0.2f\\ny = %0.2f\"%(px, py), rotation=50, color='gray')\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"* Note: `ha` is an alias for `horizontalalignment`\n",
|
||
"\n",
|
||
"For more text properties, visit [the documentation](http://matplotlib.org/users/text_props.html#text-properties).\n",
|
||
"\n",
|
||
"It is quite frequent to annotate elements of a graph, such as the beautiful point above. The `annotate` function makes this easy: just indicate the location of the point of interest, and the position of the text, plus optionally some extra attributes for the text and the arrow."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 22,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEACAYAAABWLgY0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEMKL/T8NEj13fbb1AwAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10b405990>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.plot(x, x**2, px, py, \"ro\")\n",
|
||
"plt.annotate(\"Beautiful point\", xy=(px, py), xytext=(px-1.3,py+0.5),\n",
|
||
" color=\"green\", weight=\"heavy\", fontsize=14,\n",
|
||
" arrowprops={\"facecolor\": \"lightgreen\"})\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"You can also add a bounding box around your text by using the `bbox` attribute:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 23,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAEACAYAAABWLgY0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nhPBh/w/hvOQ+vYnpVgAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10b7b4050>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.plot(x, x**2, px, py, \"ro\")\n",
|
||
"\n",
|
||
"bbox_props = dict(boxstyle=\"rarrow,pad=0.3\", ec=\"b\", lw=2, fc=\"lightblue\")\n",
|
||
"plt.text(px-0.2, py, \"Beautiful point\", bbox=bbox_props, ha=\"right\")\n",
|
||
"\n",
|
||
"bbox_props = dict(boxstyle=\"round4,pad=1,rounding_size=0.2\", ec=\"black\", fc=\"#EEEEFF\", lw=5)\n",
|
||
"plt.text(0, 1.5, \"Square function\\n$y = x^2$\", fontsize=20, color='black', ha=\"center\", bbox=bbox_props)\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"Just for fun, if you want an [xkcd](http://xkcd.com)-style plot, just draw within a `with plt.xkcd()` section:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 24,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAEICAYAAAC3Y/QeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nEhK1EEn8JSQkJGohkvhLSEhI1EL+HyfBQlLVQ40oAAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10b7b1fd0>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"with plt.xkcd():\n",
|
||
" plt.plot(x, x**2, px, py, \"ro\")\n",
|
||
"\n",
|
||
" bbox_props = dict(boxstyle=\"rarrow,pad=0.3\", ec=\"b\", lw=2, fc=\"lightblue\")\n",
|
||
" plt.text(px-0.2, py, \"Beautiful point\", bbox=bbox_props, ha=\"right\")\n",
|
||
"\n",
|
||
" bbox_props = dict(boxstyle=\"round4,pad=1,rounding_size=0.2\", ec=\"black\", fc=\"#EEEEFF\", lw=5)\n",
|
||
" plt.text(0, 1.5, \"Square function\\n$y = x^2$\", fontsize=20, color='black', ha=\"center\", bbox=bbox_props)\n",
|
||
"\n",
|
||
" plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Legends\n",
|
||
"The simplest way to add a legend is to set a label on all lines, then just call the `legend` function."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 25,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAEACAYAAABI5zaHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nJMVdCCEsSIq7EEJYkBR3IYSwoP8Pty27aLnc6mkAAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10b11fdd0>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x = numpy.linspace(-1.4, 1.4, 50)\n",
|
||
"plt.plot(x, x**2, \"r--\", label=\"Square function\")\n",
|
||
"plt.plot(x, x**3, \"g-\", label=\"Cube function\")\n",
|
||
"plt.legend(loc=\"best\")\n",
|
||
"plt.grid(True)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Non linear scales\n",
|
||
"Matplotlib supports non linear scales, such as logarithmic or logit scales."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 26,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": true
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAX0AAAEKCAYAAAD+XoUoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n91seM1/U/gAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10ad40290>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEKCAYAAAD0Luk/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCBhjTAGzImCMMQXMioAxxhSw/weDLj/d6TgbZQAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10aad0f50>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYwAAAEKCAYAAAAB0GKPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n6TgSU7M0AAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10b1ef710>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYAAAAEKCAYAAAAb7IIBAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10b805310>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x = numpy.linspace(0.1, 15, 500)\n",
|
||
"y = x**3/numpy.exp(2*x)\n",
|
||
"\n",
|
||
"plt.figure(1)\n",
|
||
"plt.plot(x, y)\n",
|
||
"plt.yscale('linear')\n",
|
||
"plt.title('linear')\n",
|
||
"plt.grid(True)\n",
|
||
"\n",
|
||
"plt.figure(2)\n",
|
||
"plt.plot(x, y)\n",
|
||
"plt.yscale('log')\n",
|
||
"plt.title('log')\n",
|
||
"plt.grid(True)\n",
|
||
"\n",
|
||
"plt.figure(3)\n",
|
||
"plt.plot(x, y)\n",
|
||
"plt.yscale('logit')\n",
|
||
"plt.title('logit')\n",
|
||
"plt.grid(True)\n",
|
||
"\n",
|
||
"plt.figure(4)\n",
|
||
"plt.plot(x, y - y.mean())\n",
|
||
"plt.yscale('symlog', linthreshy=0.05)\n",
|
||
"plt.title('symlog')\n",
|
||
"plt.grid(True)\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Ticks and tickers\n",
|
||
"The axes have little marks called \"ticks\". To be precise, \"ticks\" are the *locations* of the marks (eg. (-1, 0, 1)), \"tick lines\" are the small lines drawn at those locations, \"tick labels\" are the labels drawn next to the tick lines, and \"tickers\" are objects that are capable of deciding where to place ticks. The default tickers typically do a pretty good job at placing ~5 to 8 ticks at a reasonable distance from one another.\n",
|
||
"\n",
|
||
"But sometimes you need more control (eg. there are too many tick labels on the logit graph above). Fortunately, matplotlib gives you full control over ticks. You can even activate minor ticks.\n",
|
||
"\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 27,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA2kAAAJoCAYAAAD8o6m3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10af3a250>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x = numpy.linspace(-2, 2, 100)\n",
|
||
"\n",
|
||
"plt.figure(1, figsize=(15,10))\n",
|
||
"plt.subplot(131)\n",
|
||
"plt.plot(x, x**3)\n",
|
||
"plt.grid(True)\n",
|
||
"plt.title(\"Default ticks\")\n",
|
||
"\n",
|
||
"ax = plt.subplot(132)\n",
|
||
"plt.plot(x, x**3)\n",
|
||
"ax.xaxis.set_ticks(numpy.arange(-2, 2, 1))\n",
|
||
"plt.grid(True)\n",
|
||
"plt.title(\"Manual ticks on the x-axis\")\n",
|
||
"\n",
|
||
"ax = plt.subplot(133)\n",
|
||
"plt.plot(x, x**3)\n",
|
||
"plt.minorticks_on()\n",
|
||
"ax.tick_params(axis='x', which='minor', bottom='off')\n",
|
||
"ax.xaxis.set_ticks([-2, 0, 1, 2])\n",
|
||
"ax.yaxis.set_ticks(numpy.arange(-5, 5, 1))\n",
|
||
"ax.yaxis.set_ticklabels([\"min\", -4, -3, -2, -1, 0, 1, 2, 3, \"max\"])\n",
|
||
"plt.title(\"Manual ticks and tick labels\\n(plus minor ticks) on the y-axis\")\n",
|
||
"\n",
|
||
"\n",
|
||
"plt.grid(True)\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Polar projection\n",
|
||
"Drawing a polar graph is as easy as setting the `projection` attribute to `\"polar\"` when creating the subplot."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 28,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAARUAAAENCAYAAAAha/EUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsnXd4VEX3x7+TutmSThJaQu+9SpGOIGAB0RdURBH0FXlF\n4aeIWBCQjiLSpQgoKEV6kRZ676GGDoF00pPdze5+f39MEpKQsgm7Kbif57lP9t47d+bs5t5zZ845\nc0aQhA0bNmxYCrviFsCGDRvPFjalYsOGDYtiUyo2bNiwKDalYsOGDYtiUyo2bNiwKDalYsOGDYti\nUyo2ckUIMVwIEZS2fZJ2zEMIsVMIcU0I8Y8Qwi1T+cVCiLNCiB7FJ7WN4samVGzkiBCiLoD3ATQD\n0AhALyFEVQBfAthNsiaAvQBGZyp/L638wGIR2kaJwKZUbORGbQDHSepIGgEcANAHwMsAlqWVWQbg\n1bTPRgAqAE4AbBGV/2JsSsVGblwE8HzacEcJoAeAigB8SYYDAMkwAL5pn68CcASwH8Dc4hHZRknA\nobgFsFEyIXlVCDEFwC4AiQDOQvZGsmPKdM1nRSSejRKMradiI1dILiXZjGQHALEArgEIF0L4AoAQ\nwg9ARDGKaKMEYlMqNnJFCFEm7a8/gN4AVgLYBODdtCIDAWwsFuFslFiEbZayjdwQQhwA4AkgFcBn\nJPcJITwBrIa0r9wF8AbJ2GIU00YJw6ZUbNiwYVFswx8bNmxYFJtSsWHDhkWxKRUbNmxYFJtSsWHD\nhkWxKRUbNmxYFFtErQ2zEEIIyPslfRMADOkbSVMel9v4F2FzKf9LSVMSngDKASib/lelUlVxdnau\nDMAvNTXVNyUlxc1gMDgAEHZ2diYKQtgJCCFAEjRQkBRCCNrZ2RmdnJySnJ2dI+zt7UNSU1PvxcfH\n3wQQmrY9TPsbmTZJ0cYziE2p/AsQQngBaGpnZ9fc1dW1U2pqan2tVuvp7Oxs0Gg0qb6+vqxZs6YI\nCAhQeHp6OgQEBMDf3x9ly5aFr68v7Bzt8OHWD3E69DR+6PQDetboCXthjwN3D2Ds/rGwgx3+fO1P\naOw1iIyMRGhoKB4+fIjQ0FBcunTJFB4enhIZGWl48OCBCAsLc0pJSXFUKpVxCoXiclxc3H6DwXAS\nwGkAD2i7IUs9NqXyjJFZgbi7u7fXarVNDAaDa4MGDZLbtm2rbNSokWPLli0REBAAFxeXfOsz0YTe\nf/UGAKx6bRWUjsos540mI0btHoU9t/fg4HsHoXZS51unXq/Hw4cPce7cOWzZssV48eLF5MuXLzsa\nDIZUhUJxKSEhYY9N0ZRebEqllCOEcAfQ3d3dvZ/BYGiTmprqWqlSJf2LL77o3KJFC8emTZuiWrVq\nsLMrnE3+u8DvsO/uPuwesBuO9o4Zx/ft24cOHToAAEhiyOYhiE6Jxt9v/A05sioYJBESEoLjx4/j\n5MmTxqNHjyadO3fOSa/XG5VK5YmYmJhVALaQDC3UF7FRdJC0baVsA1BZCDHc09PzhJOTk65BgwZJ\n8+fP57Vr12g0GmkpToScoN90P4YmhD5xLjAwMMu+zqBjg3kNuPLCSou1bzKZeO/ePf7+++989dVX\nExUKhVaj0dx0cHD4FkADpL0UbVvJ2opdANtmxj9Juv5bKhSKKa6urneUSqX27bffTt6wYQMTExNp\nDYwmI59b9ByXnFli9jXH7h+j33Q/xqbEWkUmvV7P3bt38+OPP9b5+PgkqlSqSJVK9SuALgCcWAL+\nV7aNtuFPSSXNO9PS1dX1Y51O96qfnx/feOMNl969ezu0aNEC9vb2Vm1/7eW1mHJ4Co4PPg47Yf7Q\nacD6AajjXQejnx9tRenky/DSpUtYuXKlafPmzYnXr193VCgUe+Pi4uYC+Ic271LxUdxazbZl3SDz\nvA52dXW9UbZs2cTJkycbb9y4waLEZDKxxa8tuO7yulzLZB/+pHMp4hJ9pvkwUWedHlRuhIaGctKk\nSQwICEhSq9XhDg4OXwLwZgn4n/7btmIXwLal/SOAmiqVaq5CoUhq1apV0oYNGyxqHykIh+4eYtWf\nq9JgNORaJjelQpKvrHqFC04tsIJk+WMymXj8+HH2798/2cnJSafRaNYCeA42+0vR3cvFLcC/eYOM\nTO3j5uZ2Uq1Wp4waNUp/584dFjeDNgzitMPTCn39pqub2GpRKwtKVDiioqI4depUo5+fX6Kbm9t1\nAIMBqFgC/vfP8lbsAvwbNwAejo6O3yuVykeNGzeOX7lyJbVaLUsCKakp9JjswZC4kELXoTfo6TvN\nl1cjr1pQssJjNBq5bds2NmzYMNnZ2TlJpVLNBeDPEnAvPItbsQvwb9oAKJ2cnL5SKBSJbdu21Z07\nd44ljXWX17Hjbx3zLZfX8Ick/7ftf5ywf4KFpLIct2/f5siRI/UuLi7JSqVyjs3uYvnNNku5CBBC\nONjZ2X3o4uLyoGvXrl+dPXtWdfDgQaeGDRsWt2hPsCV4C3rX6v3U9bxU4yVsvb7VAhJZlkqVKmH6\n9OmON27ccOnTp88gFxeXOy4uLmOFEPmHAtswj+LWas/yBjmTt69arQ5p0qRJ4pEjR1iSMZlMLDej\nHK9FXXvqurSpWrpOcmVEYoQFJLMe169fZ58+fZIUCkW8vb39MNjiXZ56s/VUrIQQorNarb5Ws2bN\npevWrSt/6tQpVatWrYpbrDy5FHkJTvZOqO5Z/anrcnZwRsdKHbH71m4LSGY9qlWrhnXr1ikPHTqk\nad269WS1Wn1PCPGmEAUIzrGRBdsPZ2GEEI3d3d0Ply1bduPMmTOrX758Wf3CCy8Uaj5MURN4OxBd\nKncxS9Z9+/blW6atf1scvn/YApJZn6ZNm+LAgQOqTZs2+daoUWOhSqW6IYToVtxylUZsSsVCCCEU\nSqVyhkqlOjJx4sRWd+/eVb3//vuFnshXHBx/cBzPVXjOYvW1qdgGR+4fsVh9RUHHjh1x9epV1fLl\nyyuXLVt2naur67q0tY5smEtxj7+ehQ1AC7Vafadz585JoaFPTr4rLVSbVY1B4UEWq0+bqqXqBxXj\ntfEWq7MoSUxM5NChQ7UKhSIOwCssAfdaadhKz2u0BCKEcFYqlTM0Gs2+hQsX+u/atUvp5+dX3GIV\niujkaIQnhqO2d22L1ens4Iy6PnVxIfyCxeosSlQqFebMmeO8detW13Llyq10dXVda+u15I9NqRQS\nIURzlUp1rUmTJkOvX7/u0r9/f1Ea7Ca5ERQRhPq+9WFvZ95ERXNsKgBQr0w9XIy4+BSSFT+dOnVC\ncHCwcsCAAb0UCsVNIcTLxS1TScamVApIWu9kuqur6/5ff/3V/+DBgwpfX9/iFuupuRJ5BXW861i8\n3vq+9REUEWTxeoua9F7L5s2b3X19fVfZei25U+qUihBisRAiXAhxIdOxcUKI80KIc0KI3UKICmnH\nA4QQyUKIM2nb3EzX9Eq7ZmEB2m6uUqmC69atOyw4OLjU904ycznyMuqUMV+ppGd9y496PvWeCaWS\nTpcuXXDz5k3lgAEDerm4uNwobK9FCGEnhDgrhNiUtv+dECIk073aPVPZxWlle1jqe1iTUqdUACwF\nkN3VN5VkQ5KNAGwEMDbTuRskm6RtQzMdfxtAYwBhQoh8nyZHR8cP1Gr1/l9//bXiiRMnnJ+F3klm\nrkRdQe0y0p6SmJgIrVabcW7//v24f/9+xv7GjRtx69atjP3t27dnOR8eHg6dTgcAqOVdC9ejr1tb\n/CIlvdeydu1aDw8Pj79UKtWPQoiCJrgZDuBStmM/ZrpXdwCAEKIugHsAmgEY+PTSW59Sp1RIHgIQ\nk+1YYqZdFYCoTPu5dSUEACcASgCpubUnhHBUq9W/enl5/Xz69OlnondCEqmpj7/ymjVrcOXyFVTz\nrAYACAwMRGjo41SwVatWhZeXV8Z+586dsyiVli1bZjl/4cIFhIeHAwDKqssi4nAErl6/mnE+NDQU\nJlPpXyaoR48eCA4OVjRo0OADjUazSwjhas51aT3pHgAWZT+VQ3Ej5D3tBKB0ZFQrbvdTYTYAAQAu\nZDs2AVKjXwXglqlcAoAzAAIBtM1UvguAUwCm5NGOl0ajOdahQ4ek2FjrpEgsCmJiYvjw4cOM/Q0b\nNvDChQsZ+wajgY7jHKlNNX+mdH4TCjNT9eeqWUL/N23axAcPHmSpKyUlxez6Shp6vZ6DBg3SKpXK\n+wCqM//7dw2ARgDaA9iUduw7ALcBnINUNu6Zyv8E4ASAdvnVXRK2YhegUELnoFQynRsFYGnaZycA\nHmmfm6QpHbWZbdRTKpWhI0aM0BkMuScrKokkJyczc16WkydPMjg4ONfyD+If0Geaj9Xk6bysM3dc\n35Hr+dOnTzM5OZmknH+0fv36YktQ9TTMmTPHqFQq4wF0Ze73VU8As9M+d8ikVMrg8eoWEwAszq2O\nkr6VuuGPGayEHH+CpJ5kTNrnMwBuAqiRXwVCiFcUCsXxadOm+c6YMcPJ2vlgLUFcXFzG59u3byMm\n5vEIsVmzZqhePff5PPfj7sPfzd9qsvm7+eNe3L1czzdp0iTLGkSVK1fOmCqQkpKCoKDSYegdOnSo\n3fbt2zWurq4bnZ2dR+QyTm4D4GUhxC0AqwB0EkIsJxnJNI0C4FcAzYtKbktTWpWKQKbxpxCiWqZz\nr0J2ISGE8E6fGCaEqAKgGoBbyAUhhFAqld95enqu2r9/v3Lo0KGlwngSEhKCf/75J2O/Tp06aNSo\nkfnXx4egvKZ8gdo0N04FAHxVvohMjjSrrBACDRs2zFAqQghERERknH/83JVM2rVrh3Pnzrl4e3v/\noFarfxdCOGc+T/Irkv4kqwDoB2AvyXeEEJmjJvsAKLXBPaVOqQghVgI4AqCGEOKeEOI9AJOFEEFC\niLOQXcqRacXbAbgghDgDYDWAD0nG5lKvUq1Wb6pYseKooKAglxYtWlj/yxQSkhg3blyGsbNChQp4\n4403Cl1fVHIUyijLWEq8JyijKoOIpIj8C+aAQqFA586dM/bPnz+Pv//+21KiWYXKlSvj2rVrivbt\n27+q0WiOCyHMcRVOFUJcEEKcg7S1fGZlMa1HcY+/SsIGQKPRaE69/PLLyelj+5JGaGgoIyMjrVL3\nxAMTOWrXKKvUTZLLzy3nm+vetErdmzdvzmL0LUkYjUaOHj1a7+LiEoZ/UfrKUtdTsTRCCHe1Wn3o\ntddeq7d+/XoXc9YXLg6CgoKsttZPdEo0vFy88i9YSHxUPoXuqeRHx44dzVoTujiws7PDxIkTHT//\n/HNvlUp1Mm0I/szzr1YqQggvlUp1vEePHrWWLFniXJLSFAQHB2PNmjUZ+127doWHh4dV2opOiYaX\nsmBKpSA2FQ8XD8SkxORfsBCoVKqM38VkMmUZFpYUvv/+e/upU6d6K5XKE0KImsUtj7VxKG4Bigsh\nhI9arT4yZMiQijNmzHAqaQFtAQEBeXpsLEmsNhbuCner1a9yVCEpNclq9adjZ2eHb7/9NmNfq9XC\n2dm5RCTIGjp0qJ29vb3Hp59+ekII0Zpk9mjaZ4aS82ouQtJ6KEeGDRvmX5IUypQpU5CSkgIARfow\npKSmQOmoLNA15s79AQC1kxpJeusrlexcuXIli1esuPnwww/t5s+fr1EqlYee5R7Lv66nkm5D6dWr\nl//EiRMdATnXRa0u/mTqX3zxRbG8VZNTk+HiYD27hMqpaHoq2WncuHGW/ZiYGKsNIfNDp9PBzs4O\nAwcOFEaj0XXYsGGHhRAtSd4sFoGsyL+qpyKE0Gg0mv0DBgyovHLlSkchBHQ6HZYsWVIs8gQFBWHt\n2rWZ5SsWOVIMKXBxLJhSKYhNReWoKpaeSmZI4o8//oDBYCiW9tesWYOoKDklbdCgQXZjxozxUCgU\nx4UQ1os6LC6K2/1UVBsAF7Vafeq9995LMZlMLAmUFDnqzqnLC2EX8i+YiYLM/TGZTMRYlJjvS5Kp\nqanFLQJnzJhhUKlUDwGUZQl4Riy1/St6KkIIoVarV9arV6/eokWLFLn1CB49eoTISPMiPwvLkiVL\nMmYAlxRbjs6og7ODc/4FM1EQm4oQAgICLEGTbAMDA3Hs2DGrtqHT6XD37t1cz48YMcJ+5MiR3mq1\nepcQomT6xQvBv0KpKBSKMQEBAV337t2bp9vY0dERR45YN/v722+/jbJly1q1jcIgcs0QYRnshB1M\nLDmu3q5du+K55yy3ckBOnDhxIt8Xx9ixYx3r169fTaVSrSj1OTXSeOaVihCil4uLy+h//vlHlV+Q\nlEajwSuvvGJxGXbu3Jk+BIOTk5PF6y8OCmJTAUqeUslMSEgIfvvtN4vX+/zzz8PfP2+TiRACu3fv\ndq5YsWJ3hULxhcWFKAaeaaUihKijUCj+2rRpk7J8+YJNmDt37pxFhkImkwkajabEDHWKCzthB6PJ\nWNxi5EiFChXw1ltvWaQunU6HAwcOFOgapVKJnTt3qhQKxXelJWVkXjyzSkUI4alSqXbPnz/fpW3b\ntgW+vmrVqnjw4EGh20/PrGZnZ4eSvtxpYSiITQWQb+SSZFPJjqOjIwDAaDTi8OHCr6oYFhaGSpUq\nFfi6ihUrYsuWLS7Ozs5rhBC1Ci1ACeCZVCpCCAe1Wr158ODBngMHDixUF0Gj0RQofUBmHj16hIUL\nzc6nXSKw9gOvN+rhZF/yh3729vYZAYiFISAgIN8hT260adMGc+bMUaQZbosnoMYCPJNKRalU/lKp\nUqWmM2bMKJhLIxc2bNhQoKGQp6cnPv74Y0s0XSQ42jki1Zhrmt4cKYhNJX3Y42BXOmItu3TpUqDy\nOp0Oy5cvt0jb77//vt3AgQPLqNXqjUKI0vGDZeOZUyqOjo6Dvby83jl48KCzpWb1du7cGQ4Oef9/\n9Xo9du/ebZH2ihoXRxekGPJ+OyclJUGv12fsR0dHm/1G1xl1paKXkh2SmDBhQoaRPTfs7OzQtWtX\ni7U7c+ZM50qVKjVXKpUzLVZpEfJMKRUhRBOFQvHzrl27lO7ulpsgp9Fo8g3vjo2NRZUqpXNmu8JB\ngVu3buHRo0cZx5YtW4bbt29n7G/ZsiVLb02lUmVJYblkyZIsMRm//vorQkJCAKQNfUTpUypCCIwe\nPTpfI7ujo6NFwwQcHBywb98+hbu7+3t2dnaFz75VXBR39J2lNgBOSqXy7uzZs60atjlz5kwmJiZa\ns4ki4fDhwxkZ9Tsv68yZq2daLQlUWEIY1a+qGRERkXEsc3b/0kJMTEzGZ5PJxB9++MGqUcInTpyg\ni4tLPABfloBnzNztmempKJXKca1bt/a2dl7Z//73v1Aq5Yze+Ph4zJ8/35rNWYzg4OAsEaRVq1ZF\nrVrSyaBwUKBKgyrw9vY2u76C2FSSUpPg3cEbZco8Tlm5Y8eOjAXLSGZZvKwkYjKZsGzZsox9IQRG\njhxp1VCB5s2b44MPPnDWaDSlKjDumVAqQoim9vb2nyxfvlxp7d8+c0oCpVKJd955x6rtFRaSWVzi\nGo0G9evXz9j39fXNcKMqHZVWnUUcr4uHq3PWdbbee+89KBQKANLQOW/ePKu1bwns7OwwfPjwLAmg\nnJ0t4gfIkylTpjh5eHi0FkL8x+qNWYhSr1SEEE5KpfLvOXPmKIoq/D29m/fDDz+U2FSGd+7cweXL\nlzP2y5YtC5VKlWNZd4U74rRxOZ7LjYLEqcRp455QKplRKBT47LPHeZ6vXbuGlStXFkieomL69OmI\njo4usmVDnJ2dsXbtWpVCoVhoZgLtYqfUKxWlUjmuefPm3m+//XaRdA9NJhPGjx8PIQS+++67EhMp\nSxLjx4/PeJNWrlzZbI+Eu8IdsdocFxmwCPG6eLg5u5ldvmbNmujfv3/G/sOHD/P1wBQVX3zxBTw9\nPbOsHW1tmjdvjmHDhjlrNJrlpWEYVKqVSvqwZ9WqVVYf9qRjZ2eHb775Jssxklk8IUUFyYyF0IUQ\n+Prrr1GYPLseCg/EaAuWQ7YgNpWchj/5kfn/eefOHVy8WHzL4Oh0uizucyEEevQo2mj68ePHO6nV\n6ucBlPhhUKlVKkIIJ5VKtbaohj0mkynjbZldgWm12mLprm/YsCHLQumFVazW7qnE6fIe/uRH69at\nM+xBBoMBGzZsKNKey/r167O42zNz8eJFxMZa77dLx9nZGRs3bnRxcXEp8cOgUqtUXFxcxtWuXduv\nqIY9CxYsyDWq1sXFBR999FFRiJFltb7evXujdu3aT12nh4tHgZVKQWwqUclR8Faa71nKCwcHB1Sp\nUqVIh539+vVDbhNSy5Urh+vXrxeJHJmGQctK8jCoVCoVIUQDBweHTzZt2pRrwiVL89FHH8HHxyff\ncuHh4VZL9JSUlIRt27ZZvF5PF09EJUdZvN50IpIi4KPK/7czlwYNGmR83r9/f0bSK0ui0+nMUhae\nnp5o3rzolj0eP368k7OzcwcArxVZowWkVCoVV1fXXyZMmOBcFMOegnazlUolTp48aVEZ0u0mKpUK\n7777rkXrBgA/tR/Ck8LNLh8XB2zevM/s8pZWKplp2rSpVfLOnjlzpsAu49OnT1tcjuw4Oztj1apV\nzmq1epYQwtHqDRaCUqdUhBDthRAtP/zwQ6vLHhERUeD4CY1GY1Ej3q5du3DhwgWL1ZcTvipfhCWG\nmV2+b1+gTx/AXH0bkRQBX5V1zABqtRoVK1YEIIMRb960THL6Vq1aFXi2cWhoKIxG6+eM6dKlCxo2\nbOhqZ2c32OqNFYbiDuktyAZAuLq6Bv3222/5hjhbCqPRWOhrjx8/niU0vaRiMBroMM6BeoM+37J6\nPalUkh4e5OXL5tVfe3ZtXgy/+JRS5o9Op+OWLVsKfb1Wq+WuXbssKJH1OHXqFBUKRSwAFUvAs5l5\nK209lZd9fHwqDRgwoMgafJqlUGvXrp3FsGouCxYsyFjOwdLs3g1k76Xb29nDW+lt1nrHV64A/v5A\n+/aAuV7e8KRwlFGVyXLszh3gr7/MFNpMnJyc0LNnz4z9gi5/Gh0djRo1ajy1HFFRURlDVmvRtGlT\ntGrVysnJyemz/EsXLaVGqQgh7NVq9S8zZ85UW3vN4xUrViA6Ovqp69FoNKhbt26Br3vvvfcKNA+n\nYHUDzZoBaROIM/BT+5k1BLp9G6haFXBx2Ydr1/JvLyU1BUn6pCzeH50O6NQJ6NfP/CFUQSHNS1uQ\nmXLlyhU6wVJmEhISCpzDtzDMnz/fxd7e/kshhKfVGysApUapAHinQoUKXkURdNSzZ094eRVswfL8\nyLyYVE7cu3cvYzxuzeTY5crJXsb332c9XlZdFg8THuZ7/b17sqdSpgxgjtPlfvx9lHctDzvx+Fab\nPRsICABcXABrOe+EEPj222/zdT1bYzG5ypUro1u3bhatMydq1KiB/v372yuVyu+ynxNCLBZChAsh\ncjXICSFmCSGuCyHOCSEKl+YwB0qFUhFCKFQq1bTFixcXSeSsp6flFX/37t0zJtDlxP79+4skoCsg\nAHjtNWD9eiBT3BwC3AJwNy73NWrSCQ8H/PyA55/vYJ5SibsPf7fHb3+tFpg+HRg4ECii9ecBINdk\n1A4ODujVq5fV2rX2/3T8+PEKg8HwoRCiQrZTSwHkqtmEEC8CqEqyOoAPAVhsun2pUCpOTk7D2rRp\no2jdurVV27Hmg63RaPJcr3nAgAH5ZpezBI0aSXvG++8Dv/zy+Hgl90q4G5u/UomOBry8ZE/FHHPR\nvbh7WZTK8uVA06byc506BRT+KSCZkYw8M/b29mbFHxUGrVaLadOmWaXudMqVK4dPPvlEaDSayZmP\nkzwEIK+5F68AWJ5W9jgAN0tF6pZ4pSKEcBNCfP/jjz/mPMXWghiNxiKJ1Jw+fTpSUlKwbt26p0qy\nXBiaNpWG2o8/lg94QoI8HuAegDtxd/K9Pl2pXL26D0lmZEu4H38fFV2ly5eUiuyzz4Bjx4CWLZ/i\nixSQ9u3bZ6R6YNoMc2v3IhQKBUaOHGnVNgBgzJgxTiRfE0IUJLy6PIDMsyIfpB17akq8UnF0dBza\ns2dPURiDZ0Hp1KmT1dsAgOHDh8PFxQUNGjQo8tQJLVtKpeLnB3TsCKRPWTK3p5KQALi6SnuIOUol\nc0/l8GEgNVUaaY8cAazc8cwRkpg/fz4+//zzInmBWCpPcl64u7tj5MiRjhqNZoLVGzODEq1UhBD2\nzs7On40ePdqqT15RZx1Lf2NWr169SIKlMuPuLm0ZJ08CgwYB6QvzBbgF4E7snXyv12qlQunUqYNZ\nSuVWzC1Ucq8EAJg3D/joI+DRIzkEK+QKKIUmvSfap0+fIl8pcuPGjVatf9iwYfY6na6XEMJct+ED\nABUz7VdIO/bUlGilAqB7hQoVFM2aNbNaAyaTCTNnFl3S8s2bN+PGjRsA5Ftz4sSJBeqGR0cD33wD\nPE06jw4dgH37gBdeAO7eBa5dA3zVvkjQJyBJn7em0GoBhQJQqczrqVx/dB3VPasjPh7YsgV4+20Z\nK9OuHVDY5zomBhg7FggOLth1s2bNQkJCAnx9i36Sb3rUr7Xw9vbGa6+9ZnRwcMgcZSvStpzYBOAd\nABBCPAcglqT5czXyorij7/LaXF1dD82aNcvMGMPSQebkyYXhzBkSIH19yVOnClfH1q3k88/Lz59/\nTo4eLT/XnVOXZ0PPZpTbvn07w8LCMvbnzZvHunUf8swZcufOQNrZzcuSwHrBggWMiorK2E/SJ9F5\nvDMNRgOXLCFfeUUef/dd8pdfCif73btkrVryN1i+vHB1pBMSEsKVK1c+XSUliOPHj1OtVocDsAew\nEsBDADoA9wC8B+nl+YCPI9RnA7gB4DyAJrTQc1vsiiNXwYAqarU6JTk52VK/eYnGYDDw0aNH+ZYz\nGskaNcgRI0gfH/L06YK3lZREqtXko0fkxYtk+fKkwUA2G9aMP235KaPcvXv3qNdnDd2vVUuG5wcG\nBtLBgdTpHp/T6/U0GAwZ+/839v9YfVp1kmSnTuSaNaTJRJYtS16/XnC5Hz4kq1YlR44k3d2l/Pmh\n1WoZHx+f6/m4uLiCC/IUWHMlBpPJRH9//yQAPViMz26JHf64uLj8b/DgwXbWNGSuWbPGanVnJjY2\nNt8V7LTXRwXNAAAgAElEQVRaLf7+++9867KzA774Qhpb580DXnopa7yJOSiVcvgxY8YeJCQcQ9my\nwJ49QJdXuiBBnZBRrmLFihn2n8dyAs7OMp9K9iGQo6NjFsNk6zdao1b5WggJAc6cMeLChXG4cIFw\ncQGqVSuYzLGxQLduMiI4ORkYPBjIZykmAMDWrVvzzMrn6lr45FGFYe7cuTke37FjB2rVqoUaNWpg\nypQpT5yPjo7Giy++iEaNGqF+/fr4Ld0YlgkhBEaNGqV0c3P7wtJyF4ji1Gi5bQBcnJ2dE68X5nVm\nJiaTiRcvWn+SGyknulnyjZiaStatS27YQM6eTVavTkZH53+dyWTigwcPSJJz5pBvvim7GbNnk/37\nk0vPLuVb697Ksw4/PzKtCvr6yt5Dbkw5NIUjdozg1Knk4MHy2NSp5NCh5O3bt7l9+/b8haacxNi1\nKzlsmOwleXuTll6iaMWKFcW2npPRaGTVqlV5584d6vV6NmzYkFeuXMlSZuzYsfzyyy9JkpGRkfT0\n9GRqauoTdSUlJVGlUqUAqExbTyULr9epU0dUK+jrrAAIIQo1L6cwODk5FeiNGBISkmeiJwcH4Mcf\ngZEjpQfnpZeA/v2B/BxJt2/fzsj12rMnsHOnE4xGee22bUAFpzq4Fp33hJ50Q+2+ffvyDbEPjg5G\nDa8aWLFCGmgBYMcOoHt3uZB55mRLuUEC//sf4OgI/PQTMGyYNFTnNTVKp9NlWUnAHF588cUiCT7M\niRMnTqB69eoICAiAo6Mj+vXr94S3yM/PDwlpQUUJCQnw8vLKUV6lUolBgwbZKRSKYUUifA6UyAWg\n3dzcRo0dO1aZvh+WGIa9t/fifNh5XH90HbdjbyNWG4t4XTwS9YlwsHOAo50jnOyd4KZwQxllGZRR\nlYGvyheV3SujqmdVVPWoimqe1eCmcIPBYCiSG2j//v2oW7dugScHurm54fjx43kuFP7CC0CTJsDE\nicCUKXJoMGYMMHly1nLbtm1D+/btoVKpUKVKlYylWQMCAF9f6Vp+7jmgbVvg1onauBZ1DSRzjeHQ\n6eTwxxwuRlzE884fIzYWeP55OVQ6cULGxwghUK5cuYyyq1evRr169VAnW5jtwoXAoUPA0aPAunVA\nVBQwdGg+7V68mGXhMnOw9FyvvEhJScGxY8fQsWNH6Aw6HLt8DEaNEVMPT0VIfAiOPTiGkCshWKRc\nhCR9ElIMKUjWJcOwzYC5rnMBPRAwOAAvr3oZAW4BaFquKdr6t0VVj6oQQuDjjz92Wrhw4YdCiDEk\ni3yVNkGWjKUP0hFCNC1TpsyBm/duKv+89CfmnZqH27G30T6gPZqXa47qXtVRxaMKPF084ebsBpWT\nCkaTEammVOiNesRqYxGRFIHIpEiEJYbhduxt3Hh0AzdjbuLmo5vwVnrD5ZgLXh/yOhqXa4wW5Vug\nvKtFAgmf4Pz582jYsKFV6gaAhw+Bhg2B/fsBHx+geXOpYN7ItPpuUFAQ6tWrl6OSGDVKKohx42S8\nyubNwKFWvjj9wWlUcM0+lUSiVMoHW6kEypaVtp1MuiEDE01wm+yG9yIjoXJWYNIkqRQWLAB27sz5\n+2RXZidPyh7VoUMyvqZBA2DDBqkErcXdu3eh1+tR3QoTk6KTo3Em9AzOhJ7BzgM7cU9zD/fj7sPz\njiccbzmi76i+qOhWETcCbyA0OBQTp02E2kkNF0cXzJo2C5FRkRg3eRyuBF9Bv1f6Ydrf0xCqD8WJ\nBydw6N4huDi6YFCjQRjcZDB6d+udePjw4Y9I/m7xL5IfxTXuym1TKpWLXn77ZUPFHyuy18pe3Hlj\nJ1ONT44dC4PRZGRwVDBXX1zNMXvGsMcfPeg1xYsBPwXwrXVvce6JuQwKD7Lq+rgF5dChQ3kmepo7\nl2zZUtpZzpwhvby0XLr0gFl1799PNmkiP0dHk66uZIeFvbgteFuu16hUZEKC/Fy27GP7SnZux9xm\n+RkVWLkyeTbNS92/Pzl/fv5yRUVFceLEWfT3J//+Wx57/XXp/s4NrVbLbdtyl9tc9Ho9jx49+tT1\nkOSdmDtccX4Fh2wawpq/1KRmoobtlrbjZzs+4+/nf+eliEvUG2R73bp1y7hu0qRJnDx5cpa6Xnzx\nRR46dChjv1OnTjx58mTGvslk4rH7x/j+xvdZZmoZfjT1I3p4eJxkcdhEi6PRXIUBhEKpeOQ1wov/\n3Pgn//+aBTCZTLwSeYWLTi/iexveY5Wfq9Bvuh8H/D2Ay88tZ2hCaIHrvHXrlsUUU3x8PIODg3M9\nbzSSnTuTP/wg92fNCqG//02zDLepqaSXF3nvntx/4QWy11e/cfLBybleo9GQcXHSpZyXUtl8bTNb\n//ARK1eWbuSUFNLNjcwU9pIrBgPZubOJo0bJ/dWryZo1ybyiCyIjI3kv/YsUE3HaOK6/sp4fbv6Q\nlWZWos80H/Zd3Zezjs3iudBzNBgNT1xjMploMBgyDLU6nY4NGzbk5Wxp9UaMGMGxY8eSJMPCwlih\nQgVG5/JPPhd6jjV/rEkHJ4dUAB78lyuVRi7eLqlnHz4OwLIkERERvHXrVr7lbj66yfkn57PPX33o\nPtmdjeY34neB3/Fs6FmzlMXSpUstIK353LtHennpMnoEn31GdusmFU5+DBpE/vij/LxwIdnihVt8\nc92buZZ3dSVjYvJXKpMOTmKrt3ZyxAi5v2kT2a6ded9nzBiyY0ep9MLDSVfXlTx8uPBpPQuD0Whk\nbGxsvuWuR1/nlENT2H5pe6onqtl1eVfOODKDF8Mv5nuv7Nq1K6NXtH37dtaoUYPVqlXjpEmTSJLz\n58/nggULSEql2atXLzZo0ID169fPN2gvLCGMmsoaI4A3+W9WKvYO9t+3eK3Fk+rcQpw8eTJLBKg5\npBpTuf/Ofo7YMYJVfq7CgJ8COHz7cO67vY9GU9He6H/88UeWiNV09uzZwzFjDrFePVKrlQ9j27Zk\n2r2ZJ9u3k61ayc8REaTaNZV1ZzbLtXzmoLOyZcmQkJzLvbXuLVaoHs2DB+X+wIHkzz/nL8+mTWSF\nClKZkHLY8/7713PMFazT6Thv3rz8Ky0EOp2Os2fPfuK4yWTihbALfGvKW3T2daa9tz1bDmzJLde2\nMFGX1SUdGBjIRo0asW7duuzQocMTdRkMhizBgpbm/e/ep6uX607+m5WK0k0ZMmm5GU9CMWEymRgU\nHsTx+8ez4byGLD+jPEfsGMFTD04VergTG0seOJA1MjU3EhISmJKSkotsMgw+fchw756MuM3PPKDX\nZx0Cte9goOObr1NnyFkgT08yXa+VK5e7Uqn2XXd6ldHTYJBteHqS9+/nLcvNm1LmI0fkfk7Dnsy/\ns8lkylHJZsdoJI8dk/UXluCoYH4X+B2rz6rOgB8D6FbWjWsPr2WKNiXHuJLY2FjWqVOHIWk/UKSl\nA2vM4HTwaTo4O+gBOPHfqFQAlHdUOKauPr/aIj9oUXAp4hK/3vM1q/5cldVnVWfX/3blrUf5D68y\nM2GC/C/4+ZHTp8sQenOIj4/n+fPnsxwLD5cBaYcPy/3168lKleRwJS8yD4HmzCFdm2/iudBzOZb1\n9pY9msDAwFyVSqIukY7dv+LgIfIt/M8/0picF3q9LJMux4MH8rukK5h0xo8f/8TUgdwwGuX8oJo1\n5W/ct69Zl2UQnhjOWcdmscWvLeg7zZfDtw/niZATPHLkCLt3755RLifD6ty5c/nNN9+Y1Y61bEFX\nI69SXV6tB9CZRfgsl6Tgt141WtUwnY6wzoJMK1assHiddcrUwfhO43H9f9fxe5/fUaVLFbRY1AKd\nl3fGyqCVSEnNPwHTBx/InK9vvCHzjdSuDaxenX9C6K+++uqJ+BcfH2DuXJmqMSkJePVV6ZL94IO8\n63v9ddkmAPTuDWgvd8LRO2dyLGtnB2ROUp9TvefCzsEpuB/6viZD9tetkyks82LcOBl2P3y4DOIb\nMAD473+BVq2ylhszZgwmT56cb6b8/ftlHM/cucCbb8pguW+/zVsGADCajNgavBWv/vkqavxSA0fv\nHkWnpE4IGRGCmd1nonn55nj48GGWWccVKlTAgwdZswYEBwfj0aNH6NixI5o3b57n/bdjx478BSsE\npx6egm9jXwelUvm6VRrIjaLUYHltHh4eB6fMn8KKP1akNlVrEU2dGWuG/GdGm6rlXxf/YrcV3eg5\nxZNDtwzN9a2fzrVrcigxfz65bx/ZoIGcgJdXdz2vsfiAAeSQIfJzSoqsb+HC3OtKHwLdvSv3qzQM\nYfdvc55GnDk0v0yZx7aPzIzbvIhOqiTqdNKT4+OT93fZv1/21NI9Q5MmyVnUOUShk3z83ZNy6NaF\nhcnvX7GiHD7t3Cl7V7t3594+Kd2/3+79lhV+rMAWv7bgr6d/ZbxWTkTMfu+sXbuWQ9J/YMoQ///9\n739ZygwbNoytWrViSkoKo6KiWL169SK7B9Pp8FsHTvt7GtVqdQTSYtKKYit2ZUL5qlM7ODjoYmNj\n2WtlL045NMVCP2vRcPfu3Ry75Hdj7/L7fd+zwo8V2HZJW64KWpWrreLGDbJKFfL77+XDNG2afNBn\nznzsxTEYDNy6desT12ZvOy6OrFaN/PNPuZ8+X+bSpdy/w6BB5IwZ8vPQ0Xfo3T7nYWhmj49GI21C\n2Wn54W9s0V0+QPv2kY0a5d7uo0ekv79Mx0BKG5CPz2MFl/k7Zran6PV6zkgXmNKmtGKFVHQjR8pY\nmvT9/ftzbttoMnL79e3s8UcPek7x5LCtw3g+7HzOhTNhTlzJ5MmTM1zAJPn+++9z7dq1+dZtKTZd\n3cSqP1elNlVLHx+fRAD1+S9TKr1btWoVR0qDmPdUb7P+uSWFFStW5LmSYaoxlesur2PH3zqy7PSy\n/Hbvt3wQ/6QvNjSUbNpUvmm1WtmDaduWbNOGvHpVGv+uXbuW5Rqj0cgJEyY8Udfp0/KBunFD7i9a\nRNarl3usx/bt5HPPyc+nzqZQuN1lsv5Jo3D58tKoGxgYSEdHKWd2VLWOcNqvsmvy3/+SEyfm3KbJ\nJO0cn3wi92NjycqVyXXrniw7a9asXFNDhIWRr74qJ1meOiXrHT+eDAiQqR2yE6+N5y/Hf2GNX2qw\n4byGXHxmMZP1eafY0Ov1GcrbnLiSK1eusEuXLjQYDExKSmK9evV4KQ+tfujQoadaDTMzkUmRrPhj\nRe65tYck2b9/f52Dg8M3/DcpFVdX11UzZ87MeA2tvLCSlWdWZmTS01vMo6OjreZ2LAwXwy9y6Jah\n9JjswQF/D3hiaJSUJB+01q3lw2I0yoRGXl7klCm5Dwly4uefpZLSauWD9p//kB99lHPZzEMgk4l0\n9HzAP3Y9qdirVJG5UPbsCaQQsmxmQiISCKd4RsfqqNPJOu/cybnNxYvJ+vXlEM1kIvv1k0qoIKxe\nTfr4GDhqlPye8fHka6+RzZs/OYP65qOb/GTbJ/Sc4sm+q/vywJ0DZnvtgoKCsiypml9cCUlOmzaN\nderUYf369ZlfsrHjx48/dQIvUg6/2y5py1G7RmUc27RpE93d3a/wX6ZUHpw7l/XhGrNnDBvNb8So\npPxdhnlhMpmozel1Wsw8Sn7EyQcns9yMcnxhxQvceWNnxg1uNJLffCPjNQ4dkmP6s2cfsVMn+bBc\nvZpznTqdLkuUZbqb+dNP5X56T2DTppyvHzRIeqBIsvaLe/nyx4efKFOvHnn+vOzxODs/Wcd3cy7Q\nve4xkjI1Q24Bb1evyiFZek9i6VLZ08jck9Jqtbn2TiIjpZKsUYOcMmUDz549yytXZBKpDz7I2oM6\n/fA0+63tR68pXhy1axTvxRZv5K210KZq2fvP3uy7um+WGKrk5GQ6OjrqASj4b1AqADQODg6p2e0C\nJpOJX+76kg3mNeDD+IIFrBUVkZGRDAwMfKo6tKlaLj27lHXn1GWDeQ34+/nfM+Y6bd4s7QtDhmyn\nXp9Kk0nO9fH2lsOZ7C/ZhIQELlu2LMux6Ghps0hXJPv3S7tITmETu3eTjRvLz5/8vJ0+da48UaZ5\ncxnzERMjw+6z07TnGXb87waSsseVk4FYp5NzjubOlfvpCiYoKGu5TZs25ehu3bhRfofPPnvsgv/7\nb1nHr7/KfZPJxF03d7HL8i70GuLFMv5lWLVa1SdsH5k5ceIEHRwcuC6n8VcJJ1GXyBdWvMA+f/XJ\n0dFRpUqVOADN+S9RKu3q1q2bYzy0yWTihP0TWOHHCjz54GRORfJEr9fnGixmCUJDQxmek/ujEJhM\nJm4N3sq2S9qy2qxqXHxmMfUGPW/dkg9g377SAEtKg2v9+jLa1JyUiocPS+WU/nyOHCnry66UDAbZ\nO7pwgTxz9wqFc/wT9bdvT+7dS65bF0hf3+zfgXT2iOTsbTsZGytD+nOS74svyJdfluW1WqnIzBmh\npqTIBE+VKj02vhoMMseuvz954oT8HTdc2cAmC5qw9uzaXHx6MatUrZJnAiRS2qY6derEnj175qlU\nMk/iszTnz5/PUbb8uBNzh80WNuPA9QNznXzbrVu3FAD/ZRE80yUhTqVp69atc1wPVAiBMe3GYFb3\nWXjxjxex9OzSdEVkFmfOnMHx48ctJmh2/Pz8LLa6nRACPar3wIF3D+DXl37FH0F/oNrMavgnej72\n7tfB01OmNggKkiv7nTghUw80bgwcPPhkfbdu3cpI9NS6tVzAq39/wGAAJkwALl8GVq3Keo29vUym\ntGIF0KhiTThUOYJV6x9lKePiAqSkAHr9k3lVzp03IVUkoE/b+li3Dujc+cmUj0eOyEXMFi2S6yh/\n+ilQpQrw4YfyvE6nw/nz55/4PlevyjWLIiOBs2dlOsyoKODFF4Hjx4GTJ4nzSYtQbXg1jN0/Fl8/\n/zUuDr2IOvo6qFG9Rp4JkADgl19+Qd++ffP9f4aGhhboHiwI/v7+ea5imRO7b+1Gy0Ut0a9uPyx9\nZSkc7HLOE/TCCy8oNBpNW0vImS9Fobny2tzc3DYuWrQoX20cFB7EenPr8bW/XntqO0tp4cMvPmS3\n5d1YfkZ5zjkxh4uXptLbO2sW+S1bZIzHt99mNeLGx8dz3759GftGo5yFPGaM3D91SnqHskfEXrok\nhxYGA9lg0Fw+3+t2lvONGi3ksmUxvHpV2jP++uuvjDSMn34dRtfn5fCrY8cnvThJSTL1Zbpnddky\nWUfmTJvnz5/n3Uz+ZJOJXLJEDm0WLHjcu9qzR3qivvjCxDUX1rPhvIZsPL8xF+9bnMX4ak5MyYMH\nDzLm5rz77rulYviTrE/myH9Gsuz0stx7a2++5Y8ePUp3d/cb/DcMfzQazcPsRtrcSElN4YgdI1h+\nRnn+ffnvYs17MmPGDKtOBsvMiZAT7LaiGyvPrMwJazayenUTBw16nNfk4UOZw7V1a/L27dzrCQuT\nD2J6atixY8nu3Z8cBjVrJkPrv1w7lw6KH/ngweN8Bf/5TyKXLTPx3Dk5BLt//36Gq7V64wes3L47\nb97U09NTDlcyM3y4zKlCkufOZTXU5kRcHPnmm9KAm25v0evJL78ky5UzccLS42w0vxGbLmjKTVc3\n5Xg/mKNUXn/9dR4/fpykVCpFGU9SGI6HHGet2bX4xpo3zPaQFqWxtlgVCgCNo6Oj3ty5HOnsu72P\ntWfXZs8/euY610ar1eaZ3OhpSUh/oouQfbf3sc3iNqw5oxk7vHqH1aubeOKEPGc0Ss9NmTLSzZqZ\nvXv3ZvwWBw8+jnDV66XLOXPipB07dvD//u8k33qLPHzvMBXlg7PMvxk8WPYY5swJZPPmj4/HxpIO\nimT+tH8Bp0yREb2JiYkZvZh9+2TUcFSUNPJWrUr+8Ye8VqvVcsOGDVlkPnlSlvngg8fG2Js3yRYt\nyFadHvG5n19m7dm1uf7K+ieUSUxMTMb/x5xAtcqVK7Ny5cqsVKkS1Wo1fX19uXHjxlz/D7t377aI\n+zcnDh06lGs8S1RSFD/c/CF9p/nyz6A/C1y3n59fEorAWFvcSqVdnTp18k9akQM6g46TDk6i1xQv\nfr3na8Zps2arv3jxYpZMWaWJI0eO5LpWjclk4rbgbWw0vxGrDBlNdy8dJ06UwxVSDmuqVJG9gvSZ\nz/Hx8bydqQvz888yyjUpSQ53vL0fB8mlpKQwIkIaWSMfaenYbhr/b9Rjb8Inn5A//UTOnBmYsSAZ\nSa5ZY6Ki5j5ejbzK+vWlITUiIoJ//vknExKkTJs2SeX38ssyM346MTExGV4ek0lOKsyuHH//nfTw\nSmW9dxay4o/+XHp2aY5Jj0gZ4ZyeBc6cQLXMmDP8CQkJsdqs44SEhCfc6HqDnnNOzGGZqWX4ybZP\nGJNSOIXWt2/fJBSBsba4lcpn/fr1e6ogkruxd/nO+nfoO82XPx/72SrzhrJjTY8SSR48eDDfoZ3R\nZOSfQX+y4ndt6FkriM1aJWaEtj96RL70ksyTklO6AZOJfOstGbmr16eyV6+pbNv2sWIi5fVLl5KN\nvhrGqpn0/qhRMkJ2xw455Ern9bfj6PrK1zx3zkR//6wJoj76SOZTSUpK4qRJMnI3p1QP6XK3bEmm\n59KKjyf79k+ia/mH9Pi0E386+hNTUgv2+5sTqJbOe++9V2JsKkaTkSsvrGS1WdXYaVmnp44ynz17\nNl1dXX/ns6xU3NzcNkxPj7Z6Ss6HnWePP3qw0sxKnHdyXoFvvILwQ3ruRjM4fFjGc9SsSfboId2p\n69blnoekoGhTtZx28EcqXxxHhVs8Fy6TCsBolBPz/PzIXbsel//tt98YHR3NpCQ50XD2bDIpKYXt\n28s1edJZs0YaW7/bPYHOquSMiYNjx8rAvDVryD595DGTiXT3SWSvX0bw88+lzSOdXbukmzomhvzo\no5/o66vl/ftkampqlijTc+dkb+aVV7azRo2arF69Ov87dDw9y0fRuflyjtj0DeO0cfzjjz/YoEED\nNmjQgG3atOGFCxcK/JvFxEgD99ixZO/e0jZkZ/c4xqW4MZqMXH9lPRvMa8CWv7bk7pv5zIY0k6Iy\n1ha3Url75swZi/xg6Ry+d5g9/+hJny99OP3wdCboit72kZlLl0ghpBF13jxy3DiyZ08Zvl6zphwG\nbNok38hPQ1RSFPv/PIN23jfYpPt5RjySSnXvXunNGT9eKpqEhATq9XqGhYXxxg1pXzl8WBp4M086\nTEmRiZXWHTlF14Z7mZ69cOpUGefyxReBHDhQHjt/nlT7hnH+8UX085MTGElpaPX3l4bh+/elgkuf\nLWwymTLsEsuXy7Z//10uqnUt+BZf/eAkYVeXjQaOymI3O3r0aEaax+3bt7NlHola0sPqU1Jkz2r4\ncKlA1GqZ13f0aGkfeuUV+SRkVr75cejQoUIptLzQGXRccmYJ/fr5sdEvjbjhygaLOiOSk5NpZ2dn\nAODAZ1WpODs7J5uTuaugGAwGTpo3iW+seYNeU7w48p+RBU6eZEmio8n/+z+ZinHwYPnQGY0y+/3k\nyfIGV6vJVq1i2Lv3Eh47lnUoUhDO3b3BgE476eB1h1NXHUxblVBOTOzRQ8qi1WqZ7sbfulV6hEJD\nH2fmT2/7ww/JceMNVLw8gv3elkpq9mw5nBk2LJAffyzLTZ5sorL1Ei5c+TAjNSUpv+vgwXKo89xz\nWScWBgYGUqeTwWzVq0vvztGjR9mgeWsqAy7Tte4Rvj304zwjYGNiYlihQoUcz924QX7xxRl2766n\nRiMnZU6YIKOB9Xqp5L76Sir3AQNyn5+UG4mJiRYz1kYlRXHqoaksP6M8uy7vyg3nNpidiKqgaDSa\nZADl+CwqFQAu9vb2Bmu7hW8+usmR/4yk1xQvvrzqZe66ueupcsuGmZMOPhciImRqA19fmS/lzz8f\n2xaSksgtW/QcNiye9eqlh+fLt7w5qSaz882cs7TXRLBKzzUMCrlOvV72MCpVkp4VkpwwYQJTU1M5\ndqzMX6LTyYjZ9Oxrhw/L3lS76YPp6ZuUkV7gzTflA5o+zGnTIZHegwaxd29TxhBi2zY5SzguTvbG\nXnpJKtL0Nlev3seWLQ189VXpOXoYF86qHT4jHAbwvW+O0mA05uj+zcy0adMy3MWpqbIX9MknUkn5\n+pLvvkv+9dfjqF6DQeZX6duX9PCQchVxipMsHA85zoHrB9J9sjvfWf8OTz88bfU2q1WrFgugGZ9R\npVLFw8PDzOSJT0+iLpHzT85n/bn1WeXnKhy3bxzvxt7N/8JszJkz56ll0WqlQunYUSqPTz4hjx/P\nGi9y86Z0EbdpIx+At96StpiCLPd7/6GODTpepX2Za3znlzm8H36ff/6pY5kycihmMEjlajTKIdnw\n4fIh8/KSf00mGZz28bxVVPtE8fJlOR+pRw+pUH74QSoiZ6WOveeMopubVCJxcdKOsmsX+dtvMrdL\n+kvdaDRy7145FJo8mUw1GPjduhV0qHSMnv6z2ef1dzPkz0up7N27l7Vr1+HatY84eLAcPjVrJpXd\n6dNZDcUXL0pbVrly0oU+e3bWgLuiJDo5mnNOzGHTBU1ZeWZlTj001SKz8c2lffv2sQBe4jOqVNrW\nq1evUO7k/MhrrGsymXgi5AQ/2vIRPad48oUVL3DlhZXFZnsJDpYGw2rVDKxa1chvv5V5VDLz8KFU\nAl27Slfvq69KO4Q5835Ict5v0VS4xdK59kAuOfAHg4OlbWHgwMcBaqGh2ozYkRkzyA4d5IM5bRrZ\n6/Vourb6kzNnyjiX1q3JV18N5KxZMmm3W+VgDvj8bIaN5eOPyffek4rS25s8e1ZHk8lEk0mmb0i3\nrRy6c4R+L31Be1UUvxj3kIcP5x9TotORc+acp0ZTje7uN9iypVS+2YP+wsNlgqsaNQ7SxyeIo0bl\nHWhXGJYtW2aWa1lv0HPT1U187a/X6DbJjf9Z8x9uC96Wq0ucJKdMsU6ishdeeCEFwAd8RpXK6927\nd7fK+2LNmjVmlUvWJ3PlhZXs/nt3uk5y5eurX+faS2vzTdhjDfbuDeSCBQc4fLh86Jo1k8OQ7DlB\nonzrtjkAACAASURBVKNlePurr0oF07MnuXJl/j2YsDCyXfcIOvldZ7sJI3n1wX2+8YacdXz7dion\nT57M8+elEjh1StpW5s2TQzY3NxNdX/ucnbonMiiIrFOH7No1kMuWkV9/m0rH52eyVp1U7t8vE1X7\n+UmDb4UKMv3BggULeOtWJPv0kcFrQcGxfHPxKDpVP8CK1Q9z9WoZzZpbTIlWK3tI77xDurndpUJR\njcOHH30iO9yjR/K36dVLetwGDCA3b05idLRV3l1MTExkai4JblKNqdx5YyeHbBrCMlPLsPXi1lxw\naoHZMSY5pcq0BKNHjzYB+J7PqFIZ/uabb1o34KMARCVFceGphey8rDPdJrmx39p+XBW0KstNEB4e\nbrV/Nvl4+YnUVDn2HzhQGnc7dpQBa9kfovSUid27y4forbekLSO3RE4mE7n8dz1VHglUdPiJ0/b9\nwomTjCxbVvY4SBlw5u8vvUbe3tKg+cYbZMM3NtJFk8I7d6Q3qVcvmYKgQYtHrPDSIlarJod1devK\nB7tVK2k/ImVvTOY5MXHl2XV0/8+nVLjG89txKU/Imjmm5IMPJnHwYFKpnM9q1RZw1iyyf//B9PT0\nZOPGjdmoUSM2atScCxbIeU0ajfTkLF/+eApDUaJN1XL79e18f+P79J7qzeYLm3PqoanF6iTIzty5\nc+nm5racz6JScXR0nDZ69GiL/mCWIiwhjPNPzmfPP3pSM1HDTss6cebRmZy3Yl6uS01ai+Rk+bZ/\n911p62jSRLqlg4Ky2mDCwshZs2QPw8dHGiGPHpVl1q9fn2XKQmgo2aVHPJXlbrP2V+/wlz+u08dH\nLs+RlJTMzz+P5HPPSbvJK69I24h/jRiqK9xmYCDp4iK9Sdu3k44KLet2vMgpU6TbukcP6fF5+WUt\nw8IiuHOnlGfyzEfsOnsQVXX3sVqdBJ7PJY7r6lU56TEgQCaEmjLlyQC++/elkm3XTirT//xHKsPi\nUCQhcSFceGohX1n1Cl0nubLVolacfng678TcKXphzGDDhg308vI6wGdRqXh4eKxbsmSJRX8wUhoC\ns6+H8zQk6hK54coGDtowiL7TfFltVjV+tOUj/n3570KHS2fH3CU2U1PJwEBpUA0IkHNjRo6U2eEy\nu6CvX5e9hBo1ZEDZJ5/cZ/Y0HSYT+fvvJrp6JlPZ6ScOWTSTdeoa+c478Vy2bCVff132UGrVkoFu\nlSobaFfxBL+foKODA1m+fCBnzCCdy12jxi2VBw5Ipff557K38vffOzh27D36+pr4ydy/qer9f1S6\nJfK771OZ3VsaHk6+/fYKNmmipZ8fOWKEXNQ9XWmaTOSVK1LBtGgh42cGDpTxPeYEN69Zs4Y3n2Yl\nsUwk6ZO488ZOjto1io3nN6aim4L91vbjivMrLGpwXbt2La/mluLvKTh+/DhdXV3v8FlUKl5eXid2\n7Nhh0R+MlOPcf/6xzuLuRpOR50LPcdrhaey2ohvVE9Vs+WtLfrX7K26/vv2J+Ufmcv/+fa7OPgsw\nH0wm+eB9+62MjPXxkT2EjRsfB9KZTNJ9/Omn0s7RtKnMd5u5sxUaSnbrmUJ1ufusOPQDtuv2iG3b\nyriNJk2kK7hcORme76iOYZO2EfT2Jh0cAtn7jUQKVQR79zaxXTtp3/Hzk72NIUPIGrW1rDdiBF1r\nnGHDpklZsvknJ0sPWM+esrfx2mth3Lw5JUM5JiXJGJqPP5YpMCtUkHEzO3fyCaWUHykpKbnaPvJD\nm6rlobuHOG7fOLZf2p6qH1Rss7gNv9n7Dfff2c/4xKeMWswFvV5vsUTYmbl//z6VSmUMn0WlotFo\nQizZoygKbqTPuksjJTWFe27t4dd7vs644RrNb8T/bfsf/7r4F+/H3S+y9Aw3b0qvTZcuMpCuY0f5\nZj93TnpdDAaZzqBfP/kQv/66tL8YDFL5rF1roqdPEhUtfmfjlw7TP8DEBQuu0tc3guXLP446BaTN\nBSD9KkcTkHW5uZGenlpOnnySzz9vYt3Wt+nSeRpVbsn88SdjRjtHj5Lvvy/d5F27ZrV/3Lwpld6L\nL8rv0K6ddDtfuPBkegZrEZ4YzvVX1vPznZ+z9eLWVP6gZOP5jTlixwhuDd6asRZQaUWv19POzs4I\nwJ5WerYFaZ0sVvnh4uKSeOfOHZWvr2+xtF8Yli9fjnfeeSfX83qjHqcfnsahe4dw8N5BHAs5Bns7\nezQr1wzNyzVH83LN0axcM5RRlbGqnImJwL59wI4dwMqV4+Di8i26dwe6dwe6dJFl/voLWLoUCAkB\n3nkHeP99oEwZ4NP/S8af67RwqHgG9veb4KWeV7F6dWvo9YCnlwGPorNmFhOCEELAZAIGDLiKXXsc\nofN8BF2sOxpVLYffl6rg5iazyS1aBGi1wODBcgVCLy/g0CFg2za5xcTITG49egBduwLu7lb9mRCr\njcWZ0DM4/fA0ToeexqmHpxCVHIVWFVuhdYXWaOPfBi3Kt4DaqWDZ2Eo6arVam5SUFEAywhr1F5tS\ncXZ2TomIiFC4ublZtN579+5BqVQ+sSRocUAS9+Pv4+SDkzj58CROPTyFUw9PwdXZFfV966O+j9zK\n2ZVDm9pt4GTvZHEZjEYjbt+2x44dUskcOADUr48MJePiAvz2m3zo69QBhgwB/PyAgR/E4WG4DqZE\nH9SqTVy9IvD228TKtQmoW8cet66dQFJSx4x2KlcmQh4aYXB8BJWTErN/VMLf3w6LFgFbt8rlV4cM\nkUuz7tkD7NollyatXVsqkR49gNDQrQgIqIgGDRpY9jcwGfH5t5+j7VttcSniEoIignA69DQikiLQ\nyK8RmpZtiqZlm6JJ2SaoXaY27IT5WVZXrVqFFi1aoGrVqhaV2WAwYPr06fjyyy8tWi8AqNVqXVJS\nUjWSIRavHGYoFSHEYgC9AISTbJB2rDmAOQAcAaQCGEryVNq50QAGATAAGE5yZ9rxXgB+AHCc5AdO\nTk76mJgYR5VKZdEvdObMGXh7e8Pf39+i9VoKE024E3sHQeFBuBB+AUERQTiw5gDiGsahqkdV1PKu\nhRpeNbJs3krLKUjt/7d33uFRFd0f/94kJJvNpkASIAEEpDcRkA6KKCj8VKQoiqiIvb2+NlBfFRAQ\n6SodAWkiTaSpFCGhE2rooQSSQBokIdnN9t37/f0x2fSe3WyA/TzPPNl79+7M3M2ds2fOnDnHIGLa\n2oRMcjLQqxfQvbvQcPbtA06cEPmVk1L02LjeG9UCktH74T1IS3wU56M94amwwqI7Cvo1RmZcXQBb\nAYhkyT16Z6JLexU2bgQUCuCZZ4SQOnFCCBJ3d6GFPP64iGEbnEtpM5vNcHNzg7u7e7nuLcOQgStp\nV3A57TKupF1BVEoUzt06h4spF1FLUQttQtugdc3WaBXcCu1D2qNpYFO4u5Wvrdx9dnd3h5ub/cM9\nm0wmeHra/4cmKChIm5qa2ppkTGHvS5L0JIAfAbgBWExysiRJDQGsBqABMJhkRlH1l0ao9ACQCWB5\nLqESBmASyR2SJPUDMIrko5IktQTwG4COAOoC+BdAE5KUJGk1gGEAxgJYLUnSab1e7+6VP3pyFcVi\nseD69eto2LChQ+rXm/WISonCpdRLoqSJvxdTLsLdzR33V78fDQIa4D6/+qjvXx8NqtdHg4AGqO9f\nH35efpAkqUCdpXngb9wAwsJyil4PNGwIXLsmBM6bbxJ7Tybi8o1Y+FlrIP1Wszyfd/dQw2pRA6gL\nPz9CrZYQEAA0bgzodEBCAvDoo0KI9OkjzhfS1VKhNqoRlxGH6xnXxV/1dcRmxCI6LRqX0y5Db9aj\ncY3GaBLYBI2rN0bTwKZoXbM1WgS3uOumMBUhJCQkMykpqR3JK/nfkyTJDcAlAI8BSABwBGLcjgQw\nG8D9AFqSnFNU/YWH3s4Fyf2SJNXPdzoRgG3eEgDAlvL+GQCrSVoAxEiSdBlAJwARACQAngCUAMwk\n3apVq1ZS81UGvV6PyMjIMgkVnQ44dw64fBmIjxcDLD1daAQajSg5r71hMLSDLLcDCcgysv4SJHBc\nBo4xZzRK7mZI7mbI7gZIHklwr2aFRzUZnl6El6cEb4UEo2Ytgmr1RYB/CPx9PVDdzwM1ArwQ4OsB\nlUqCSgX4+gL+/sCrrwIffSTsGidPAsePA7t3A6tXS3j66VCoPKrj+GHvPPf3yGMG7NnlB8APAKBW\nS5AkEb2/Rw+gfXugQQNxfxkZIhPA/v3iO8jIAG5nWJChMUKtM0OjtSAz669WL0OvIwxGCSaDG8wm\nD1hN1UCzFyQ2hoSmACVI2ckgJCDruzlDCaezfie9vMT0TqkUf3O/VirFfQcHi1KvHtCokZgC1qhR\n3qfkzsDd3Z0oeux3AnCZZCwAZCkDAyBmHqqsYiqu/hKFShF8AeCAJEnTIYRFt6zzdQAcynVdfNY5\nAPgFwH4AuwBES5IkOUJlPHv2LJo0aQJ7a0C+vr4YOHBgqa41mYAnngAOHRI2g2bNgLp1xYPbpo0Y\nyLYB7esLGAzJaNiwFhQKwM1NFEmy/ZXyHQthYzZXg9FYDUajEmkaLeLTbyE+LQWJ6WlIUqfhZkYG\nbqllZOj+RFqmETGZFmRmAplJAIwqeMmB8LD4w80UAMkYABr8IBt8YdWpYNL5wGLwQuMep9B/xHYk\nnGkKY1JjSG6tQNkdwFwg5Gc8MeZVNBsUioXvv5p9714qHXbs8sA/29xRTalDNaUWbt6ZcPPWQFKk\nQ/ZMh9kzBSaPm6CnGkqlBB+lO1Q13eHn4wnDqYPoOvhZBPv5onZ1f4QEVEdo9eqoH1QLtQNU8PQU\nwkOSckphx7b/g04ntK/p0ydgxIivodfnnEtPB27eFGXnTmD+fPEjoNEAf/4JPPtsyf/ro0ePIi0t\nDU888UQpn6TSM2HCBHz99dd2r9doNLqj6LFfB8D1XMfxEIJmMsQsJB1CcymS8gqVxQA+JLlRkqQh\nAJYA6FPcB0j+C+AhAJAkKc9ENjw8HADQq1evCh8nJibixo0bUCgUdqmvvMeXLwPu7r0QFAQYDOFI\nTwfatOmFwEDg2rVw+PoCrVr1gpcXMHbsJAwY8Cwef7wXPDxKrn/PnpxjlQo4deooZBkY1L0XdDpg\n165wGNxqo3VPcXzoUDiMRqBhQ3F84uROqHUm+Ad2hVpjxZXL+6DNTIZUvQc0agm3b+2CEZ6oZm2M\n2jX8cCXlHEz6W/Cp3gCZqX4AzgC3k/DV4q/wSufptv8iAMCg6QU3dxm+Advg7WNBUO0u8PXzhdlw\nGj4qoGmzhxEU4ImM1Aj4+nigfftHoVAAly6Fw8sLuP/xEWjQoC5OnQqHJ4He7brC2xs4fDgciW5l\n/5888kgvGI1ArVr+uHQpHA8+2AtKJbB/fzgyM4GQkF6QZeDyZXG9t3cvaDTi/YCAkusPDQ2Fu7u7\nQ56hhIQE2LBn/VlT5TL9opOMB9CrNNeWavUna/qzJZdNRU3SL9f76SQDJEn6QrTPyVnntwEYQ7JA\nRi9JkmSr1eoQbcURmM1mxMfHo0GDBqX+THw8cOoUcOVKzvQnLU1MMW7fBrRawGgUv6hGoygA4Okp\nVHdPT/HLK8uA1Vp4kWVxjbs74OEB+PgI1V6o+Wb4+LjDx8cNSmXe92zHPj5iGuDvL5ZwTSZhVD12\nTPxNSRH2kKSbFkQcyvkNcnPbjZCeZiQe7AXZnKMV1q0rkn61by8SnXl6Amq1+PVXq/O+1miE4dhg\nEJpDcX8NBqBaNXGPQMmaiiSJ71OvF33IP/3x9hb3W7OmmP7UrSvsPa1bi+Rm5bX73AmEhIRokpKS\nOpO8kP89SZK6ABhL8sms4zxjujSUVlORsoqNy5IkPUJyjyRJjwG4nHV+M4DfJEmaCaFGNYYw9BSs\nUJJki8Xi7gjrtiOwWCw4duxYmYRKnTqilAWrNa+gIYXAcHMTfwsrRQ2A9es34YEHHkDTpk2LbE+t\nFsvMu3YJG0psrBhYCQni9RtvABeupeN4dDx8AhXQpoqlU1nujfg9gJuHFsKOHwhvb2H41emEoXfq\nVDFYe/cWKz0DBgjhVR5I8X1YrTYXPFFs7+V/TYrVJ4VCfEcu8iBBrNoWxlEAjbMUiUQALwB4sUyV\nl2L1ZxWE2hMIIBnAGACnAcyFMLwaIJaUT2Zd/yWA17M6nb2knJ9q1aqZ0tPT7b6kHBsbC5VKhcDA\nQLvW60iSk5NRWU6AsgxERuYsKZ88CXTqJFZoPDyEdrJjh7AJZWYS//wDuAVeReeOO5AZ/xSu3FDB\n08MDtHjCrLwO3Y3aAP4E8DIAoH9/GSEhbvjzT1Fvu3ZiYO/dK9KTtmqVI2S6dxfv2YiOjsbVq1fR\np0+xM+lysWPHDvTt29fu9V6/fh3+/v7w8/Mr+eIyQBIajcbu9QJAcHCwNiUlpaQl5Z+Qs6T8Q5ka\ncJSrbknF09NTX5pNdGUlMjIyT46bO4G5c+c6tP5bt0TMlZdfFnuEmjUTmxL/+UdsPpw0SURna91a\n7P7duZNs+6CFyqBbhGRhrRAzAfKNNy2UfBPYsYuBQUG7mVsvqFXbQoCs5pfK+xuZ+ddfIsVHjx4i\ntONnn4m9Srt3i13IXbqIUAVPPSVi4167JvZtOeKZIOmwHFB79+5lfHy83evVarUOey5UKpUeQF06\naGw7Tah4eXlpk215H+4QLl265OwulAqLRQRL+vZbsn37NPr5iQRec+eK/TVarYjw1rev2IPzxhsi\nILRWK8IuBgab6ddhC738bvLZQUfo4yOeFC9vcy5BEkaAlCQ5+9wLL1ym0v8qFS23s2aIgW++KcJI\nRkWJDYm1a4uocYsWiXCOqaliU+HLL4vkYS1bCuGze3f54vK6KB0+Pj56ALXooLHtNCupp6dnxs2b\nDtl64DCOHCnUPFQlSE0Fli8Hhg4Vhse33xZGym7dViIpyYqNG8XUY+JEYedZsQJ47TVhQP7lF2E0\nfuAB4NDZeOhaz4EU+ygmfJOEQwdqITRUeN2ajMJ4I7xge6FmqAGkhCeeAEJCgB07auHz/95AkL4b\n1KF/4tzNc2jVijh3DvjhByAuDhg9GtiyRSyvv/++WFJfsgRIShJ7kXx8gC++EAbUwYOBxYuFfceF\nfbBYLNDr9Z4AUh3WiKOkVUklMDDw2I4dO+wrginST9g7H4ujMZvNTMgfN7IUxMSI6cqjj4qpxLPP\nCi0gd6Ky6GhyzBgRPqBVK5G3J7e2np4uNJV69WQO/W4NlR1/Z5OWmYyKErFLBg0SU6Z33zdR8rvB\n7g8bqVKJ9p55RqabXwL7PZvOVq1E/JV69UTsk0cez6Sq2WH2+mImmzWzcuDAvO3euiUCUHfpIqZH\nw4ef5dSpG7J3IycniwhyQ4cKberBB8mvvxZpTcq6Yzk6OrrYVKcV4Ywtc7yd0Wq1NBjsn20zPj6e\nSqUynQ4c207TVGRZvpHggJ8gDw8PXL9+veQLqxjbtm0r8RpSeKWOHw906CDKyZPCEzYpSThsvf66\n+PVfvBh4+GGgSxexjL1unfjs558DoaGivu3bhTOeFSY0+egD/L2sBXoE98O4r3di4kShTVy7JrSM\n9RsNqF4nFb0f8YReD9SoEY4HH5RQK9SE3Ts9MXmy2Dc0eDAwYgQw6uMIDH+sLo4uGQYOehn1Gmeg\nbVtg4UJhLA4KEprKoUPicw0btsCcOU+jVSvg+++FlvXKK8Dq1cI5bdYssfozZIjwfP3sM+DgQVFX\nSbi5uaGGg9xko6KiHFJveHg4YmJi7F5vQkICPDw8ity3YxccKbGKK56enjOqajjJooiJiWFmWXJk\n2AGLRUSw//RTEemtfn1hZA0LyxuLVqsVEdqGDBGxTQYOFGEojUYyJSWFl3MluMnIENrJffeRS9Zf\nZ73/vkifGrc57jsz09LS+fXXcWzXToStfOwxYbhV3XeZDVqkceNGEXmtdeswbthAqnwt9G67lT/+\naOUHH4iIbEOGkC+/rGZMTCxXrpTpE6BlwCuvc8WOSHbuLHILXS0kbKssiyh2b78t2njkEaF55bbd\nyrJIkfrtt0LzCg0VgZx27So6Nq+LHDZv3swaNWocoAPHttOECoCPX331VcdnU7cjERERdgtLWByy\nLHLXfPKJGDRt2ohBlDvEIilCKW7YkBN4qU8fkQ84f9JHk8mUHQ1vxw4hTN58k9x8KpyqZ7+gbw0t\n//5bXPvPPyKwdXh4Tv6fZwZn0vvxSfT1lXnhgkhI9n//J8I5tmtH1n5mFhs00VCtFkJvwwYx4OfN\nE3UeO0YGh+io7D2di48u59SpIqj2ggXifi4XktHLYBB5jgYOzElL8ttvBfP1REWJzIcdOog6R44U\nwacclODvjmf+/Pn09/f/jXepUBnav39/h4TRioiIcES1DiU9PZ0HDtzg+PEiLmzDhmLpNb8pwGAQ\ng3n48JxI+/Pni1QaxZGRQb71lhAo27eTs/YvoqL9Gt7fTMOoKDN//PFHXr4sVmH27hV5f6ZMEQJK\nodLzkQ+X8cknhU2jbVsRuX/5crFa8+Qbh6iqncQjR4RQathQCMDgYKF5LFmyhBcvprFTj0x6N9vL\nD9aN5anTFnboQPbta+XPP68stu9paSIp2f/9n7DlPP20aDt/1tGYGJHWxGan+e9/yT170vj33/+U\n4z9SMjExMaXK+1MeHJEOmCS//fZb2c3NbTzvUqHy8AMPPOAQpwRbYu47gZs3RQjFhx5Kp5/f33z/\nfZFuNL9G8tdfYmpRvbpIUTp7togvWxp27hQaxOuvk7dSTBy59Dt61T3Lpwaps/MFxcens3VrEVF/\n7lwxMC0W8scfZfo+tJkDX07k1Kli2tWzJ/nMM2GcNUskPu/S3USvxyfwzbeF4jl8OPnxx6LPoaHk\n5csiP47ZTH74sY5egYnsMeG/TNWoOW6cED7Ll5fOAHv7tkhL8swzQsD07y/8YfInObh0ifzmG7Je\nvXQ2bx7PqVPzGortwYEDB/JkKbAnP//8s0Pq7d+/vx7AO7xLhUrjykx7ai9OnDhR4TpssVpfeklo\nG8OGiQGYW2VPTBT2BFvSsO7dRca93Cs7JaFWC/tEvXpCg7iefJ33PfY4Pf1TOXGKNk+0+hdfFELr\n2jUxjTh/Xpxv1DyTdT94hQ0byjx9WgTWfuop8vnnw/jDDyKJmY8P2WfaR/Tx19NgECs7tWuLe5ww\nQeQAyr2QsXqtiQo/NesOG8N4dTyPHxfTpWefFalGSktGhnDqGzhQCJgnnhBTrtzJ1q1Wcs8eMS0K\nCBDXrF59706PevbsmQ5gAO9SoeLj7u5urqzA0Pbizz//LPdndTrxq9qhg0idMX16TupSmx1l3DiR\nNTAgQCzRrlghBmlZCQsT2snIkcLQeSMjniEDZ1IRcJs7/xUWzfHjx9NsNnPmTGEb0WpF4nhbxs3j\nx0lVzVv85Lf5DA1lngTtY8YITYAUBtWxCyPo1/wobckh164VnrtarRj0b7/NPG1u2nSKfsFL6NN5\nNY/GnKXBIPIM1apFljLBZB40GiEsXnpJCMWWLYVx+99/cxzpbE5/vXoJu9HYsWLp+l6iadOm6QA6\n8W4UKqRw1U8rbULgMiDLMvfaUu5VAXQ6ERU+OFhEiv/rL/ELmpAgHvLXXxfThEaNZA4atIO7d5f/\nl9RoFN6rISGiHZI8cvUClW23sm7zeMbGCiFusVhotVq5Z4/wQ7l6VdhmOnXKWUV59wMDvR77gROn\nZfC118S5OXPId94ROZY/+UScGz+e/M9HVvq/+AEf6ZNjJhs6VFyjVpMtWpALFzJP2gmNhuzyZAw9\n6kRy5R7hRn/okMhX9OKLBac0pcViEXmcX3xxM9u0iaKfn8gGMH++8NuRZZGM7a23xHTy448LGrdL\n4vbt24yMjCxfB0vg1q1bDvFRIcmAgAAtHOiiT2cLFX9//+uOStPx77//OqTeshIdLQa4zT19zhwx\nzWjWTDzQAweKzIK2vFH79u0rd1tRUUILeuqpnF/gZTuO0b1mFB8eeIl6PWk0Gmm1Wrlt2zZu3nyI\noaHCLhITI37hbbl5TCbSt4aWT/z0Pp96SmgBZI4w+e9/w7K1j6NHhXH50y3f0kulzc7/fOuWuPd9\n+0TfgoPJbdtyJIVer6csk+9/c5luqmR+NncnSaFRfPQRWaeOWK0qL2q1mrIs8+ZNcuVKocWEhAgB\n/vzzQlNctkzYZzw9xdaG0hIbG+uwbRsrV66kxgHpFg0GA93d3S0AqvFuFSoBAQF/z5w5057fW6Ww\ne/fuUl+7a5f4lgMDRUrSkSPFUmpkZN6sghVBloUWEBQkjKyyLMq7449S8rnFTyfneH0uXLiQN2/e\npNEobB0TJohrH39cbCy0sXmzTJ/7T3LLuR309c35JR83Tni2fvFFGIcPF+esVqHt7I28Tq+HVnLi\nDzkbdzZuFJsVMzPJZcuSWKPGKiYmCi/iybZ5Fsnlm6/R3T+Rj40Mp8UitKl//xUCYNQo++0FkmUh\n6JcuFalhH35YCBpA2KzuZo4ePUp/f/8YOnhcO1WoAPh8xIgRd9zWsbCwMGd3IZuUFKHttG2bo2Vo\nNORDT1ygR60org8v3D39vffEL7TVSo4Zc4bNm0fkcR577KlUBj73FXf+a2WnTjnnv/iCnDiRXL9e\ntGvj5ZeFFtbl689Zp1FanpWc4cPJDz8Ur8eOFUbnwoTEyUtJVDY6zvodzjMhUUyTbt4US8kdO5L5\ncrkVy522WbUyyPJRWUMHj2tnh107fuLECb0jKo6Li8O5c+ccUXV2iD5HsXfvXhw+fLjE6/79F2jb\nVkQqi4gQQZtPnSIatEzBxYwzOH1CgcGPtIDRaERycnL255YvFzFZly8XQZVmz26Fn36qlR1V7fZt\nYO9uBd4bEYSdO9zw5JM5bep0OVHjMjNzzvfrB/zzD/DlSw8jRa3FiRPi/I4dOzBs2H5s2CASnH3z\nDVC9OvDll7nr1CElJQUPNqmFmJMNYa19BI1apWPbdguCg8UGxJdfFlsOVq4s+fszm834888/EtVZ\nbAAAIABJREFUS76wnFy7dg0nT550SN0ajQaJiYkOqfvQoUP6jIyMfQ6pPDeOllrFFQABnp6eJou9\n5gG50Gg0d9zGQhsWi4U6na7I9w0G4XSW2+Ygy+S8+VZ6+2l434gvmaTJWZvdvn07Y2NjSQrntaAg\n8uxZ8Zm+fYXmkZvBz82gR4vlTNQksm1b4Tdj4803hcHz55/D2K1bzvmUFLGsq8k00/eRrzn0tbya\nwl9/Cac4tVoYYOvXF1MjUtg+VtuMNhRJ0Dt9+SW9qqfw89GmbKN1ZKSw3QwfXtCztjKJjY2lIxYY\nSOGy4KhNiiEhIVoAXXk3T39IwsfH5+bZs2ft981VEuvWraPRCUE/rl4VxtgBA3KWmjMyyKFDraxe\nP44PTniBt/W3C/3s7dtiYNvG78KFoq78e2YatIllz9GTmZBA+vtbuGjRr9k5oYcPF8bNhQvD2Lat\nEIC2/1+XLuTatTc54LM36eWrYf4FjJEjxcoRKVZ5atYUfjGFYbKYOGTJe6ze+hA7djZn+55otWLV\nplEj8siR0n9v9zoGg4EeHh5mAEre7UIlICDgr2XLltnv26sk4uLiqNU61nfv/PnzzK3Fbd0qBuLM\nmTnepydOkI0aW9ngsW18fPHTzDQKF1mDwZBnu4Isk4MHC+MkKTxObRpLbi5estBNlcJ9Vw9z6VJy\n0CA5W8shyWefNfKFFybw4kVhgDUajdyYpXKMGyeWZxM1ifS4fw9/XZV3F0Z6utgmYNOupk8XS9i5\nZfOFCxeyvVStspUfbv2IoYNmMCjIyvXrc65bt06sJk2ZktcT97fffiv193svcfToUQYEBMSwEsa0\n04WKJEmfv/feew75yY+KirKLB6yziIyMZFRUFC0W8quvyLp1xV4aUqwcTZlCBgXJbPPeRA5ZO4RG\nS87XGBUVlUcYzJ0rYpLo9WK5uFMnsZSdnxfej2LN3r9TlmW++KLQZnLTr58QbjduiFWT3Bw5IqYn\nJNntgwVs2aPgkqttQ2N6uhAGzzwj9ujYUKvVPHToUPaxLMscvXM0G416kfUbWvjuu8LvhyRjY8V9\nDB4splWyLDPKtjbvIObOneswH5Lbt2/z4sWLDql73rx5lWKkZVUQKgB6t23b1iF7gDIzMxmT22fb\nATjaIzg5WXi5PvZYju/J1ati/02PnhZ2mzaMw/4YRrO16H3/kZFCK7E9r998I9zV83ddlknv4Hh+\n9/tftFjEZ3LJJZLCe3b3bnLLljD6+eV9z2oV2sPVq2T4hROUFBm8mVLQi++dd5i9HJ2WJnY9b9hQ\n9HcgyzLHhI1h06kd+cwgHdu0IW3uTQaDmA61aCGCQzkaR9lSSBGu9IKDbuLxxx83APiA94hQCfDw\n8DA7wljraG7fvu2wjV+k0Erq1iW/+kqmyWSlLJOLF4vBPmGSgY8s6c1X/nyFFqv47gwGA9euXZun\nDo1GeKiuzNoIfOCAcIUvLNDc8i3RdK95kXqTgfv2iZAL+enUSdhDduwIo4dHwfdtS8skGdhuD9+d\nUHDHeGam0GhsfYqIEMIof1SJbdu25dmwN3HvRDb+qQmnzU4V38GEHHvQhAmXGBxcvHC6l2nSpElG\nZRhpWRWECkmoVKrEO9FYS4pYJY5g1ixhP9m6lbx48SLnzVvFZ54R/iiHjmWy55KeHLlxZLZAIUUI\nwhv5dhy+8gqzXewzMoSh1rbqkp+W/cLY+3XhifzZZzl7e3Jj0xKsVlKSCr6/apXw6CXJT6ZH0L91\n4W6qtlUomyD58UfyoYfybjxUq9UFwmxOPzidDX9syAOnr7NPH+G/EhGRzk2bNjEiQkytvvrKfo6F\nuXFUpH9HYzAYWK1atUox0rKqCBV/f/8/5tki+tiZzMxMLliwwCF1OwKLRbiot2iREx1t40ayVi2Z\nX3xB3spQs9vibnxz85u0ytZi61q6VNRjC2/w6qtiSbgwEjKSKamSeCjyFmWZbNJEBFfKT6NGwshL\nCqFizdcF29KyXk9mqC2UFBn859TRQtu0xT4xm8XUa+DAHCe54vjp8E+8/6f7GZd+nfPmCeE0dar4\n7pKTRYyZvn1zNmvag9TUVC5ZssR+Febj8OHDTCrLFu0ysGvXLvr7+19mJY1npwsUUgRs6tWrl8M8\nDxw5DyZF5DJ72Fa0WrH9v1cvMSBu3RK2h/vvF1MhrUnLh399mG9tfitboFitVk6bNq1AXRcuiMFm\nc3lYu1YIiqK2lAyftphB9wsDyvnzYtpV2C3VqUPGxQmv4mrVCveM7dmT3LJFvH7wsSi2f7NwoW61\nCtuOTSOyLXkXpkktWLAgj6Yw9cBUNpraiHFpcYyOFrae7t2FwDObyf/8RwjUOyUF1IkTJ+goE8DQ\noUPN1apVm8B7TKj4V6tWzeSITVSVwe7du3n9+vUK1ZGcLOwVw4eLKcDy5cL28cknQhDozXr2Wd6H\n7V9uT50+r2Nc/ri5Oh35wANijxFJXr8uplJFBcTTGDVUdF3Mz74Rji+TJgk3/sIICRErP2FhYVQo\nhCDMz8yZOVOuVWt1rNZoLy+lFL75LjFRxF7Zs0cc22w++QNQabXaPDucSXLQF4PYdHJTJmcm02oV\nmQUCA0X/jUYxpQoNFVHo7mXq1KmjAdCB95JQIYnq1atHbHCglc1Ry4D24Pp1Ma345huxUtOrl1j+\nPZo1azBajHx61dN8bu1z1Bv1JItfdfrgA7ELV5aFNvDYYyI8QVFM3/8jvfxvZ++t6dJFhJwsjNq1\nc4y8KpVYys2PLdCT2SymQQqVji8t/azI9rduFbYQm0L5v/+JiG5F3WLue/9297dsM7cNb2mFQIyO\nFsveLVqIVap164RArYij3LZt28r/YScTFRVFpVJ5G1kpjiujOF2Y2IokSR8OGzbMYd5kE/P7olcR\n0tPFSsgHH4il0Zo1hU+JbVXDbDXzubXP8elVT+fxQ5k4cSL1en2B+nbuFFMXW/zWCRNE6tGiIs2b\nLCYGv/s8m7UW2k5CgggQVZSzcM2aOdHZAgKKtlu0by8GNUk+P0xP76dHM15ddDzHDz8UUfhlWfjR\ndOiQEzg7NxaLhZ9++mm21mLzY2m/oD0zDBlZ50TQ7AYNhNF44kTR7/LGLD+Qe5+CA5g1a5bD6h47\ndqysUql+ZSWOZacLk+yOAA1UKpX+TlxatrF48WKay5gnYtIk8V+oUUOsWuQOTCTLMkdsHME+y/tQ\nb84rQEwmE8fnUz9u3xahI21axu7dQrMoLgTl8sjlDO29MTvswYIFIrhSUQQFiZ3DYWFh2a8LY/z4\nHKPr33+TIS2i+dn2orUVvV7kcl60SBzbbEL5fcH27dvHc7bt2FnIssx3trzDR359JM/3ZDCIqVjt\n2uI7fv75ou/LmTgqeDZJNmvWLBNAP96LQoUkVCrVdUf/KjiS5OTkMguVxEThW1HYauWoHaPYZVGX\nPK73xdX/yivku++K1wkJwv6xc2fRbVusFjb/uRUDAg3ZU5/+/cWycFHUqCFWeMLCwvJMhfJz7lyO\nsddkImsEWug3ug3TdEUbzc+eFYLE5tg2e7ZYMi5u1d62VcJitXDouqF8dvWzBRwBjUaxobGsgdoc\n5S5QWdy6dYteXl56AAreq0LFy8tr0meffeaw/2RcXJzDV4LsxfSD09lidgumaHPiHC5durTQZUeL\nxcIZMyLZqJFYPjabRfChsWOLb2P1mdVs8dl7bN9e2Cg0GmEnyZ/6IjcBATnalG0lqDBkWTjd2WwZ\nb7xBPjTiN44LH1dsn1asEHuKbt8WdTz5JPmf/0Rzj82Smwuj0cgZM2bkHFuM7LuiL1/b+JpdVuPy\na4L2xmq1FrsbvaIsW7aM1atX38FKHsdOFyR5OgN0uu+++xySC4gkb9y4wcOHDzuq+mwqGmZweeRy\n1ptRj3HpRYzYfCQlyQwI+DN7X9CXX4rEYsXNJK2yla3mtOL/DYvJnvqsWyciwBWHv3+O0Klfv/gl\n29GjRV9IscTcqbuWgZMDi9xFbeP998UubFsc36CgOO7bV7rfmkxjJrss6sLPd3xequudyZEjR7hr\n1y6H1d+jRw8tgBG8x4WKm7e3d7qjNlVVFps2bSq39+Xfl/5mram1eO6msBsYDIZil6ttTmOjRonj\nrVvJOnWsJSYXW3duHR+a35k1a8rZU58hQ3KWoYvC11d45oaFheVxhCuMiAgRi5cUy9x+fuTzy97h\n2LDiVSijkezYUcuxY8W0b906YcwuxC6dTXp6erZLf6oulS1mt+DPhx23haKqYzAY6OnpaQIQzHtZ\nqJCESqVa+cUXXxTvKnqXcjzhOIOmBPFgXI5r++7du/PsNs7PypXCwGkwiODVNWuSH330U7HTPKts\nZZu5bThtzX62bi3OZWSIQV9SVHkfHzFNCgsLY8OGxYd4tFrFFMmWZXHAAHLavMRSaStz5qxmcHAy\nbfHLBw0SS81FoVar+ccff2QfX7t9jaHTQ7nxQhF7EorAYrFw+fLlZfpMVWTr1q0MCAg4Q2coB85o\ntNgOAd3q1Kmjye/oZE+WLl3qMO/F3JRlXh+XHsc60+tw/bn1JV+cxe3bYmUjIkJoAg89ROZ3ri2s\nD3+c/4MdFnTg//4nc/RocW758pw9O8Xh7Z3j8Fa3bsFdzPn5z39EjiBSrOw8/zz56p+vckzYmALX\nqvM5vezaJe4vLk5Mg4KDy+bIdjT+KIOnBDPiRunT4JpMJsYVZSiyI+Hh4Q6tv0+fPhpJkt6gS6gQ\nACQ/P78rOyqSm6EEbty4USmW/V27dhVqYMyP2qDmA/Me4JT9U0gK1XW/zUBSDP/5jzCAyrJI0v7S\nSwUdxk6fPs31uaIbWawWtpzTklsubmG7diJvMikcxkoT38jbO2cvUWGer/mJiBCOfbIs/Fv8/cnz\niVcYODkwz0qQWq3m/PnzC3x+8mThaazXi+TznToV3G+Un1OnTmVPhTZHbWbItBBeTbta8s1VEhaL\nxaHB02NiYujp6akD4EOXUMkWLG917tz5jkuJWhglaStmq5n9f+vPNze/mX1tdHR0sVMeUiy7BgeL\n/UETJoil19IsJMzcPpPdFnXjjRsyq1cXK0U3b4qpT2l2Sdgc3sLCwrKXl4vDtgpki7vUpYsI1PTa\nxtf41uK3StxEJ8vCb+aFF4ThuXNnEf6hONRqNY/l2g05K2IWm89uXuyUKy0tjXfqTvn8jBo1yqRU\nKufTWePXWQ0X2ylA5eXlpXO0Gppf3XYGH/79Ifss70OTpfSakywLL9l584R2Ua9e6ZKPG8wG1nyr\nJtcfWs9ffslxcps7t3iHt9zYfFPCwsKyjbYl8d13YkWHJL//XngPx6bH0vddX0Ynl+zmqtMJYfTN\nN2LndK1ahfv1FMcHf33Afiv75QkVkZsjR47cMe4GxWEwGOjv768D0IwuoZK3+Pj4zP/yyy8dOkeZ\nOnWqI6vPRpZl/vDDDwXOLzq+iE1nNeVt/W0aDAautEUtKoHffxdu8Dt2CG2ltMHXfz78M/v/1p+k\nWDFautTCcePGsUcPmZs2la6OBg1yQjJ4eZVOO4qOFk5tYWH7uHDhTt53nxCMn27/lG9vebtU7SYn\ni93ac+YIJ79vvy1dfzdv3sybN2/SZDGx97LeTl9qnjhxokOjBf72228MCAiIoDOVAmc2XmzHgBb+\n/v46Z0SsdwT5g2Qfun6IwVOCeeGWCB9oMBgYXwp1Q5ZFoKTRo8VALa29T2PUsPa02jyZeJIGg7Bt\n3LwpjKA1aojVo5SUFP6YK02f1WotMACaNctZzXFzK7inKPd+pPPnz2en3ujendy8WfS/fn0hCFO0\nKQycHMiLKaVzIYiOFqtJ334r+lwaRVOtVme7wadoU3j/T/dzeWTO6o6j0mEUhaM3tjZs2FAHYBBd\nQqXw4ufnd8KRgXGcRbw6nnWm1+GWi1vK/NnTp5mdRrUM2Vf5Xfh3fGH9CySF636XLuL85MkiQXyh\n/YyP58Jcka9jY2NZt+4injhB7toVRiCWv/yyKPv9q1ev8vfffy+0rnnzcvbevPFGTorR7/d+zyFr\nh5T6Ps6fFzuageK3ExTF2eSz2StCVquV69atK3slVZRTp07R29s7DYAHXUKliM4BQzp06OBww8eK\nFSsc3UQ2R44dYbP/NOP4PeMpyzInTZpUJnU4MVFEb8u3p65Y4tXxrDG5BqPThP3iyy+FfcIW4a0s\nick7dxbXb98eRk/P0n8uJUUYg9PTxfTt6afFea1Jy9DpoWVa9o2PF3ucbHuESsusWbOoVqu5KWoT\n682ox5uZJXgI2pGDBw86PEj666+/rvf09BxHZ49bZ3eg2M4B1ZRK5W1Hq6iXL192aP25eXfru3xm\n+TPZkdscuffDxmsbX+OoHaOyjx95hNy2TUydWrYsOm5JYdii6aenC+/asjBokMhumJwsBIxt6rTo\n+CJ2X9zd4YNOr9dnp/H478b/ss/yPkUabu3NP//849D6MzIyqFAoDABC6eRx6+xcysVC0my1Wud8\n//33Bke207hxY0dWn82as2uwI3oHlg1ZBjfJDSTh7e3t0DZPJJ7A35f/xlc9vwIAmM3AsWNA587A\nL78Ab7wBSFLp61MoAKMRyMgA/P3L1pd33gHmzgWCg4E6dYAzZ8T5EQ+OgM6sw5pza8pWYRlRKBSQ\nJAnXrl3DpH6TYJbNGL93vEPbtPFk7oTUDmD27Nmyp6dnGMkEhzZUGpwt1UoqAIK8vLz0V4rzB7cT\njmzjYspFBk0J4vGE45w0aRJ1Oh03btzIkw6MdSjLMnst7cV5R3OiHR09Ktz6ExPz7jguLYMHk2vW\nkIsXh7FVq7J91moV060DB4QdZ/bsnPf2xuzlfTPvo9bkePckWZY5duxYJqgTGDo9lP9cdpwWURlO\nlhqNxraM3I5VYMxWaU0FAEimSJI0ZdSoUTpHt3Xo0CFYrVa716s36/Hcuucw/tHxaB/SHqNHj4a3\ntzcGDBiAtm3b2r09G5subsIt7S280f6N7HMHDwLdugHz5wNDhwI1apStzsBAIDUV0GoBP7+yfdbN\nDXj/feDHH4GuXYHDh3Pe61m/JzrX6YxpB6eVrdJSsn//fly6dAkAIEkSvv32W4T4huD3wb9jxMYR\niFfH271Nq9WKqVOn2r3e/MyYMcNCcifJkw5vrDQ4W6qVpgBQKZXK9Ds1henbW97mc78/V2j4RxvR\n0dEFAjtXBJ1JxwY/NuCOK3m3OwwblpNTyLY0XBa+/FJEdfvjD7FBsKxoNGIpfOVKsl27vO9du32N\ngZMDSx3yoSxcu3atUJuNLMv839//Y+9lvUtMeVIVuXXrls2W0phVYKzyTtBUAIBkptFo/Oa1117T\nV1J7dqtr88XN2BG9A30NfZGWllbkdenp6Th//rzd2p20fxI6hnZEn0Z98py/ehX4+2/gsceAFi3K\nXm+tWkByMpCUBISElP3zKhXw4YfAqlVAluKQTYOABniv43v4fOfnZa+4EGRZhizLou4GDSAVYjwy\nGo2oFV0LJqvJYVqSIxk/frzR3d19Fckrzu5LNs6WaqUtADx9fHySHbkRy8ayZcsYXd4oyblI1CSy\n9rTa3Be7zw69Kj2XUy8zcHIgr2cUjMMSGkoCxYcsKI4NG8Ry8EsvhXFc8UHcikSrFaEugYIrT1qT\nlg1/bFhAwyoPixYtKpCxsShibscweEowj8YXnvisLCQmJhZIP+sIYmNj6e3trQNQm1VgjNqK0ztQ\nps4Cw1q3bq1x9NKjLMsVXt6UZZlPLH2C760oIoFOMYSHh3OvbftwOdrtt7Jf9o7n/KxbJ0IKlJcT\nJ8hWrciHHw5jEX5upeLsWbHnqDD+uvQXG//cuECwb0ezcO9CNpzYMDsmcHnRarUFPKgdweDBg3UK\nheIHVoGxmbs4vQNl6izgplKpLttcv6syc4/MZbNRzXjlavlUgvJuT9hwfgNbzmlZpg2KZcFgIJVK\nofGU1fmsLAxaM6jQmCslsWDBgnKvuKjVavb6shc//LsUuVedzNmzZ+nl5aUF4M8qMDZzF6d3oMwd\nBvoFBwfryxq1vjxotVrOzr3uWUpsBkfbvp6KkJycXOq4uhmGDNabUY9h18Iq3G5xdO8unhwHxtFi\nXHocAycHFpnZsCgqmo84VZfK0Omh3BNTchyc/Pz111+VoqGQ5BNPPJFZrVq1z1kFxmT+4vQOlLnD\ngOTv73/sl19+cewcKIuypmLV6/Xs8GUHTto3yS7tW63WPLFBiuPdre/yjU1v2KXd4khMJNesCXN4\nO9MPTmfvZb2LnYoajUa7R1HbFLWJdT+ry5j4mDJ9rrI2Jx44cIA+Pj4pqOTUG6UtTu9AuToNdA4I\nCNClltVzqxKYvm06W09qXSD3jL04ceJEoYNsT8wehk4PLTH2q72oDIO52Wpmx4UdufDYwiKvSUxM\nrHD2gsJ4buVzfGnuS3avt6KYzWbWq1dPDydEyS9tcXoHyluUSuW8hx9+uNISJK9fv77EJOwJ6gQG\nTwnmyUTHecmGhYXxdr7EPHqznk1nNeWfF/50WLvO4kzyGQZNCcrju3LmzJlShYmoCCnaFNaeVpvH\n4ovXEjMzMytFwNqYMGGCWaVSHUQl5kYua5FI+/lkVCaSJPkolcorq1atqj1gwACHt2cwGGCxWKBS\nqQq8ZzQasXr1amxXbUd9//qY9Pgkh/cHAGJiYpCeno61qWtxOe0y1j23rlLarWzG7xmPw/GHsfXF\nrZAkCREREWjfvj2qVavm0HaXRS7DnKNzMKr6KDzyyCMIDg4ucE1sbCwUCgVq1arl0L4AwNmzZ9G5\nc2etTqdrRTLW4Q2WF2dLtYoUAD2rV6+udfY0yGw2c8ORDaw3o16FlyPL2u6KHStYc2pNJmpKiEBt\nZyrz1/la7DXe9/p9eYIrVQayLLPnkp6cGT6z3Hmc7IXZbGaTJk20Hh4eb7MKjL3iitM7UNGiVCrn\n9e/fv1IdGmbOnJnHrmG2mtl6bmuuO1e5AX8yjZls8nOT7HZXr15dIHm5o3C0UMn9/Wq1Wh6OOczg\nKcEOceEvjjPJZxg8JZhJmryrSn/+WblTzfHjx5tVKtVhVOFpj604vQMVvgHAx9vbO2njxrIljaoI\naWlplGU5O97oj4d+5GPLHnN4PJD8vLf1PQ7fMDzPudx9OHnyZKX3yR7IsszvvvuuQG6mCXsm8NGl\nj1b6Hp1Ptn3Ctza/RZKcMWMGNRoNI8ua7b0CnDlzhkqlMhNAfVaBMVdScXoH7HITTpoGGY1GpmpT\nGTQlKDtNaWXxz+V/WG9GvWJXe7Zs2ZLtCGa1WislgVp5WblyJa/aImoXgcVqYffF3Tn1QOUELLeR\npktj8JRgnk0+W26nxPJiNpvZsmXLzDth2mMrTu+AvYqPj8+8IUOGODyMWu6dxCaTiT1e7cE3N7/p\n6GbzcEt7i3Wm1+Guq6X3t8/IyCgxqHVZqOj05+DBgzx6NGefTWkH69W0qwyaEsTIxMrTFEhyxsEZ\nbDm8ZR7B7MgsmjZGjx5tVqlUh+6EaY+tOL0DdrsRMQ1KXrNmTen+W+Vk2rRpzMxK0ReXHsfqP1Tn\njYzSbVqzB1bZyn4r+1U41cS1a9e4dOnS7OPU1NQyLdOWVajs27eP/9oSI1NE7i/voFweuZwt57Ss\nlIBONgxmAxtMbpAtyGVZ5rhx4xw6vcw17bmPVWCMlbY4vQN2vRmgp7+/v66k7H72YuTGkfzy3y9J\nilSWtlQQjmTqgansuqir3ff23LhxI0+q1RMnTuQxRl6+fDmPZ29sbCxPnz6dfRwZGcktW3KyAxw+\nfJhbt27NPrbnr7osy3zpj5c4cuNIu9VZFLm3g6w6vYpdF3WtFDuVRqNhkyZNMj08PN5iFRhbZSlO\n74C9i5eX16hmzZpl2rQJe2AwGArs6biadpU1JtfItmnodDo6Op3IoeuHWHNqTcbcjnFoO4WRnp6e\nx/kvOTk5jw3EZDJVynTAhsaoYfPZzbn05FKHtjN58uTs4FoWq4XNZjXjzuidea6xWq0FHBIrgtVq\nZceOHQ0+Pj6/30nTHltxegfsfkOApFKp1nbr1s1gr1+UtWvXFojL8e7Wd7O1lMogVZfKBj824MYL\nlbfKVRyV6adSFDZv2zPJlZcQbMWpFeyxpEeBJe8FCxbYrY1vvvnGpFKpTgHwYhUYU2UtTu+AQ24K\nUKhUqjPjxo1zyP7/BHUCq/9QncmZyYW+bzQauWjRokLfKw8Wq4V9V/TlJ9s+sVudFaUqCBWS/PXk\nr2w+uznVBvulh9q5c2eRK2Vmq5lNfm7C8GvhdmsvN+vXr6dSqbyFKhZ4qSzF6R1w2I0BoUqlMqW8\n/isGg4FRUVGFvjdqx6gSY24kJCSUq93C+GLnF+y9rLfDNine6byx6Q0+u/pZu/mvHDhwoNj35x+d\nz2dXP1voewkJCbx5s3xJyo4fP06FQqEH0IFVYAyVtzi9Aw69OaCjQqEwlMdRKSIigoUZfPVmPYOm\nBPFyaukTkFVEwKw9u5YNfmzAW1rHG4HvVAxmA7st7lauoE42yuJ/kmnMZODkQF5NK+hXo1aruW3b\ntjK3f/PmTdasWVML4AVWgbFTkeL0Dji6uLm5Da9du7Y2JSWl6P9oGVgeuZxPrHiiTJ9ZvHhxuZym\nTiWdYtCUIJ5IqHpZBKrK9MdGkiaJ9WbU4/pz68v82czMTM6cObNMn/l0+6f8bPtnZW6rMIxGIzt1\n6pSpVCqnsgqMmYoWp3egMopSqZzZtWvXzJLCDBoMBm7fvr3Ya7os6lIpxtJ4dTzrzajH389UIBCs\nA6lqQoUkj8UfY9CUIIeGnrBxJfUKg6YEFbu0f+jQoRKnQrIs88knnzSqVKp/AbixCoyXihand6BS\nbhJwV6lU4X379jUVtyKUlJRU6JTHxqWUS6w1tVaFbBtr164tMUKY2qDmg/Mf5Pd7vy93O/cq686t\nY53pdRibXryv0vHjx/P40ZSH7ou7c8vFLUW+r1areeFC8SFFf/rpJ6uPj08MAD9WgbHWk/bWAAAQ\nSklEQVRij+L0DlTajQL+Pj4+Fz///HNjeZeax+8Zz/f/er9cny0tZquZ/X/rzzc2vXFHbgasCsw8\nNJMt57Rkmi6tyGvskY503tF5HLpuaLk//+uvv8pKpTIVwP2sAmPEXsXpHajUmwWCVCpV9Lfffpv9\nRBmNRi5cWHS4wty0ntuae2PKlzqjMOLj4/O0LcsyX9/0Ovuu6OuwaPj2oipOf3Lz8baP+fCvD+dJ\n87FkyRK7OqmlaFPo+70vdaaSt5ytXr06j8f1rFmzZIVCkQ6gOavA2LBncXoHKv2GgVpKpfLGRx99\nZCaF92JplgCv3b7GmlNr2n3bvc0fQpZlfrztY3Zd1JUaY9mCbTuDqi5UrLKVz697ngN+H5AtoNPS\nitZcykv3xd25/UrxdjhSTIVsXtkbNmygt7d3BoA2rAJjwt7F6R1wyk0DdZRKZcK0adNKHQtgyYkl\nfGH9C6W9vMyMDRvLusPq8uzlsw5r417jUvQltnu/HZ9b+5zDfHzG7xlfJqfELVu2UKlUau50X5Ti\nyh2RS9nekIzX6XRdx4wZc+uHH36wlOYzu2N249EGjzqkP5P3T8aqs6twbMExtGzU0iFt3IvcV+c+\n7J+xH+mGdIzcNBIyZbu38fj9jyMsJqxU165YsQLPPfecVqfTPU7yuN07U1VwtlRzZoHQWOI/+uij\nYleFSLL57OY8lWTflHyyLHNs2Fg2m9WsQPiEhIQEzps3z67t2ZOqOv2ZOnUq1eq8Lvtak5a9lvbi\n8A3D7a6xaE1aek/wLtEGtmrVKjlrytOeVeDZd2RxegecXQDU9vHxuTpq1KgiV4VMFhO9xnvZNbev\nLMscvXM028xtUyD+aWFcvHix0rLflYaqIlTMZnOpQk5oTVr2W9mPA34fYPcczSX94CxatEhWKpW3\ncZfaUPKXe3L6kxuSSVqtttPcuXNjRo4cabRYCs6GrqVfQ6hvKBQeCru0abaa8fbWt/Hv1X8R9moY\naqlKTu/g5uaGK1eu2KV9e9CrVy9ndwEAsH//fty8ebPE65TVlNj4wkZ4unviqVVPQWPU2K0P91e/\nH7HpBTNmkMS0adOsH3zwQYZOp+tK8ozdGq3KOFuqlbUAqAtgN4BzAM4A+DDr/BQAFwBEAvgDWc5E\nAOoD0AE4kVXm5qrrKQCnACwEEKBSqQ516dJFm3+V4MiNI+ywoAPtQYYhg0+seIL9f+tfoZ21M2bM\ncMhqRlXn+vXrpXYBKAyL1cK3t7zNB+Y9UKKDXGl5ecPL/PXkr3nOGY1GjhgxQq9SqaIBNAMQAeBk\n1nP7PcXzNwTAWQBW5JoWlfaZpQPHWUWK0ztQ5g4DtQE8mPVaBeAigOYAHkeWmzOAHwBMyvUPOl1E\nXasBuAH4DkBLAB4+Pj6z69atqz1//nz2AxJ+LZw9lvTI/yyVmatpV/nAvAf4zpZ37Dq31+l0lZ4y\norKmP7IsMywsLNsRUJblCjsFyrLMGQdnMHR6KA9fP1zhPr6z5R3OjpidfZycnMwWLVrofH19twPw\npXjWlFl/3QEcBtA9S9g0yfqRzC9USvXMFnaNs8sdN/0hmUQyMut1JoR2Uofkv2S2ef8whEZjQyqi\nOgmAJwAlADNJS2Zm5geJiYkfdujQwfDHH38AAFSeqgqry1subkGXxV0w8sGRmPt/c+Hh5lGh+nKj\nUCjQvHnz7OPU1FRcvHjRbvVXNnFxcTAYDNnHbm45j6kkSZCkov6dpUOSJHzc9WMseGoBnvr9Kcw5\nMsc2YMtFhjED/gp/AEBkZCRat26ti4mJ+Vmj0fQjqQEAkrqsy70ghMJtkhdJXkbhz2epntlyd9qR\nOFuqVaQAaAAgBoAq3/nNAIblkvoaCDUyDECPXNc9DuAYgMmF1N3V29s7bdKkSeYkTRIDfggo1y+k\n3qznZ9s/Y70Z9Xgw7mCZP18e1Gp1nniz169fZ3R0dKW0XR5iY2PzTOU2bNhAe4YDLY5LKZfYfkF7\nDlw9kKm68qV46b64O/+N/pdr1qyRfXx8tJIkPceCz5MbxPRHDWBKvvfCUFBTKfMzW1WK0ztQ7o6L\nqc8xAAPynf8fgD9yHVcDUD3rdXsAcfmFUDFt1PX19b0waPAg3f3T7i8xWXd+9sfuZ7NZzThozSCn\nxkO5efNmnuRXEREReYJYVzZHjx7lxYsXs493795dKUHDi8JgNvCjfz5i6PRQrj27tkw/Hhqjhsrx\nSr734XsmhUKRCqAdi3+m/CA06UdyncsvVMr9zFaF4vQOlKvTgAeAbQA+ynd+BIADKCa2Z/5/YCna\nUqpUqs3B9wWbnlv8HEtDzO0Yjtg4giHTQsoV38PRGI1G5o4vs2vXLoaHh2cfnzhxIs+g12q1BTbg\n5bapmM1mGgyG7OPTp0/n+fyWLVvy5PiJiYmpUsvjNvbH7merOa3Yb2U/nk46XfIHSH634zvW7VjX\nrFKpTgKoxdI9U98A+JSlfCbL+sw6uzi9A+XqNLAcwIx8556EsKwH5jsfhBwD7v0ArgMIKGN7kpfC\n62svfy/zFwu+YFGcSjrFd7e+yxqTa/B/u/5XbPbAqszNmzeZnJwTf3fv3r2MiIjIPt62bRtnzZqV\nfbxz5848mk9cXBztFRSrsjFajJx+cDprT6vNwWsGc3/s/iI1l0WbF1ERrLCofFW/AfBk0c9PEAD/\nrNfeAPYCeCzX+2HI5bZvj2fWmUXK6vgdgyRJ3SH+KWcAMKv8D8DPEAas1KxLD5N8T5KkQRCWchMA\nGcC3JP8uZ9t9PH081wc2D/T5ZMon7o1CGiHTlImTSScRHhOOW7pbGPngSLzb8V3UVtWu4J26cCY6\nsw4Lji3AopOLoDPr0L9xf7QLaYca3jWQqknFnJlz5HMbz1msRuu7JH9lMQNJkqQ2AJZBGFndAKwg\nOU2SpGcBzIIQIukAIkn2s+cz6wzuOKHibCRJ8vfx9ZknVZMGt3m7jWfDhxqidXBr9LivB7rV6wZ3\nN3dnd9GFHSGJU8mnEB4TjsikSMRGxeL0/NNmU7rpaGZG5gskrzu7j1UOZ6tKd2oB0FepVN56+umn\nDRkZGbzXqCpu+pWFyWTimDFjTF5eXlo3N7fXcQcm+aqscsf5qVQVSO7Q6XSNd+/e/Ufjxo11O3fu\ndHaXXDiI06dP44EHHtDOnDnzkNFobG61WheTdKn4ReCa/tgBSZL6+vj4/PbUU0+pFi5cqPDz83N2\nl1zYAbPZjPHjx5snT55ssVgsH8qyvMQlTErGJVTshCRJ/j4+PnMVCsWz8+bNUw4ZMqTCnp8unMe+\nffvw5ptvahMTE4+r1erhdNlOSo+z5193WwHQ29fX92Lz5s01FY3WXpW5W20qp06dYseOHXXe3t63\nALwEl+2kzMVlU7EzJHdrNJoWUVFRbzz//PPJPXv2zDx+/O4N8nW3cO3aNTz//PO6Ll26qE+ePPmV\nXq+vS/I3ki5Vvoy4pj8ORJKkam5ubm8qFIqJXbt29Zo7d65306ZNnd0tF7lITk7GuHHjjIsXL6Yk\nSdOMRuMUZm0CdFE+XEKlEpAkycfT0/NTNze3UcOGDXMfP368IjQ01NnduqdRq9X44YcfLD/99JNF\nkqSlWq12DMmSoz25KBlnz7/upQIg0MfH5yeFQqEbNGiQKS4ujncqd6pNJTU1lZMnT7b6+PjofX19\n/wDQgFXg2bibisumUomQTM3MzPzIYDA02759+9KmTZvq+vXrl7lz507Isv0jvbvI4ciRI+jfv7+h\nTp06hokTJ27SarWd1Wr1YJIxzu7b3YZr+uNEJElSSZI0zMfH50ulUllz9OjRitdee82tevXqzu7a\nXYFer8eaNWswdepUTUxMjMFkMv1ksVgWkrzl7L7dzbiEShVAEg4tXf38/D4zmUz9evfujTFjxig6\nderk7K7dkVy5cgVz5swxzZ8/H15eXhEZGRlTAPxD0ursvt0LuIRKFUOSpJoeHh5venp6ftSwYUPF\np59+6jtgwADUqFHD2V3LQ3h4eJWJqA8AWq0Wv//+O3755RftmTNnCGCRXq+fTTLa2X2713AJlSqK\nJEnuAPr5+/t/pNPperZt29Y4dOhQ3wEDBkhNmjRxdveqhFBJSEjA5s2bsXbtWs3Bgwe9vL29z6Sn\np/8MYB1JvVM7dw/jEip3AJIkeUN46j5vsVieUalUnq+88kq1gQMHVuvSpQvc3e+NcAskcebMGWzc\nuNG6evVq7dWrVz0UCkVYRkbGSgDbSKY7u48uXELljkOSJDcAHby8vAYqFIqhFoulTrdu3fjOO+8o\nevXqVeWmSRUlMzMTBw8exJ9//mlcu3atxWAwGCRJWqvVatcD2EeyakaUv4dxCZU7HEmS6gN4unr1\n6i9ptdp2Pj4+cuvWreUnn3xS2bFjR6l9+/YIDAy0e7uOmP5kZmbi5MmTOH78OA4cOKA9fPiwnJiY\n6O3n53dRo9H8brFYNgI4T9dDW6VxCZW7iCwtpgmAh7y9vbt4e3v31Gg0Lfz8/CydO3e2du/eXdWu\nXTupY8eOCAwMrNAu6ooKFY1Gg8jISPzzzz+IiorSHj16VE5KSlIolcrrVqs1XKvVHgRwHMA5lzZy\nZ+ESKnc5uQRNB29v765eXl6ParXaRpIkeQQGBuqVSqVbo0aN2KxZM8+6det61qxZE/Xq1UNoaChC\nQkLg7+9fJuGTmZmJxMREJCQkIDExERcuXEB6erolPj7eEBcXZ7169Wo1rVbrYbFY3Hx9faNNJtMh\nrVa7Hy4BctfgEir3KJIk+QIIBRBi+6tQKO5TKBRN3NzcQiwWSy2DwVDDarV6eHh4WD08PGR3d3fK\nsix5eXlZ3N3dYbFYJKPR6J7lnu1msVjcZFmGt7d3mqen501Jkm7odLo4vV5/FUAigIRcf9Nd05i7\nE5dQcVEskiQpIbIUeEAkufLIKm4QaTfNACxZxQxA6xIW9zYuoeLChQu74tpQ6MKFC7viEiouXLiw\nKy6h4sKFC7viEiouXLiwKy6h4sKFC7viEiouspEkqa4kSbslSTonSdIZSZI+zDq/WpKkE1nlmiRJ\nJ3J95ktJki5LknRBkqS+uc4/JUnSKUmSFjrjXlw4Dw9nd8BFlcIC4BOSkZIkqQAclyRpJ8kXbBdI\nkjQNQHrW6xYAngfQAkBdAP9KktQky09lOIB2AMZKktSS5PnKvhkXzsGlqbjIhmQSycis15kALgCo\nk++y5wGsyno9AMBqkpasWK+XAdjC1UkQTnNKCKc4F/cILqHiolAkSWoA4EEAEbnO9QSQRPJq1qk6\nAHKnA41HjhD6BcB+AFaSlx3dXxdVB9f0x0UBsqY+6wF8lKWx2HgRwO+lqYPkvwAeckD3XFRxXELF\nRR4kSfKAECgrSG7Kdd4dwCAA7XNdHg+gXq7julnnXNzDuKY/LvKzBCIQ0k/5zvcBcIFkQq5zmwG8\nIEmSpyRJDQE0BnCkkvrpoori0lRcZCNJUncALwE4I0nSSQAE8BXJbQCGIt/Uh+R5SZLWAjgPYYx9\nz7VD2YVrl7ILFy7simv648KFC7viEiouXLiwKy6h4sKFC7viEiouXLiwKy6h4sKFC7viEiouXLiw\nKy6h4sKFC7vy/yOFll8u6LhAAAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10b428b10>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"radius = 1\n",
|
||
"theta = numpy.linspace(0, 2*numpy.pi*radius, 1000)\n",
|
||
"\n",
|
||
"plt.subplot(111, projection='polar')\n",
|
||
"plt.plot(theta, numpy.sin(5*theta), \"g-\")\n",
|
||
"plt.plot(theta, 0.5*numpy.cos(20*theta), \"b-\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## 3D projection\n",
|
||
"\n",
|
||
"Plotting 3D graphs is quite straightforward. You need to import `Axes3D`, which registers the `\"3d\"` projection. Then create a subplot setting the `projection` to `\"3d\"`. This returns an `Axes3DSubplot` object, which you can use to call `plot_surface`, giving x, y, and z coordinates, plus optional attributes."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 29,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": true
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAqsAAADtCAYAAACYhTypAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzsvXlwZMl93/nJfGeduIFuoNHo6e7p6emZIYecGXFG5iWv\nLZuURdIUV5S1lmQtbUmUJYW0DoXWtpYMxWo3vNaGd62QTDMkm6S1uryyeJjkaCWTIqmhSA5FkcPh\nnH0Dje7GfdT5rsz9o1CFqkIBDXQDKDQ6PxEIXK8qM1++yvd9v/wdQmuNwWAwGAwGg8FwEJHd7oDB\nYDAYDAaDwbAZRqwaDAaDwWAwGA4sRqwaDAaDwWAwGA4sRqwaDAaDwWAwGA4sRqwaDAaDwWAwGA4s\nRqwaDAaDwWAwGA4s9i3+b/JaGQwGg8FgMBj2A9Hpj8ayajAYDAaDwWA4sBixajAYDAaDwWA4sBix\najAYDAaDwWA4sBixajAYDAaDwWA4sBixajAYDAaDwWA4sBixajAYDAaDwWA4sBixajAYDAaDwWA4\nsBixajAYDAaDwWA4sBixajAYDAaDwWA4sBixajAYDAaDwWA4sBixajAYDAaDwWA4sBixajAYDAaD\nwWA4sNjd7oDBYLg30FqjlAJACIEQovGzwWAwGAybYcSqwWDYdbTWACilUEqRJAlaa8IwbPyvjpQS\npRS2bSOlbHzVBW3zFxhxazAYDPcaRqwaDIY7Rmvd+GoWp8VikVQqhW2vLzV1IVp/HUC1WsXzvA1/\n7yRM669v/r6ZuDXC1mAwGO5+jFg1GAw7plmcJkmCUqrFYloXiUopoigiCAKiKNpwTP1La00cx7cU\nne0W2/rvWutNhakRtwaDwXB3Y8SqwWC4Jc1W03ahCOvCM0kS4jgmiiLiOG6IUM/zSKVSjb/VBWrz\n+9bbqb9381dzG1uJzHYBXKdTnzfDiFuDwWA4WIhbLN63XtkNBsOho31Lvy4moXVrPkmShjCN4xgh\nBI7jYNs2tm1TKpXwfR/XdQEaPqvtIq9SqTRe16kvzX3azle9n7f6klI2jm1eC5vb3Ir296r/bFmW\nEbcGg8GwczouksayajAYNmzpt4vTusiqi9K6QLUsC9u28TyPTCbTEH/Nr71TdhpY1Sw06+OoW1Vv\n12rbyYLbyXIbRRFKqYY47zSWZnHbbsU14tZgMBg2YsSqwXAPshNx2mw5rYtT3/cb0ftb0S7q9oNm\nQXmr/sHWFtudittOx9R/3swtYSt/23arrRG3BoPhXsSIVYPhHqDd33QzcdosTOM4bmzn+76P4zh3\nLIY2E6/dELXNbe9kXNsRt0EQ3La/bf3nZgtxPbtC/fftilvLsgA2iNtm9weDwWA46BixajAcQprF\naRRFhGGI53nAuqCpBz/VradJkjTEaT3d1F6J07uZrcRt/Tz6vt/4225abjcLJqu3U/9eF7f1DAzb\nEbedAsmaf68fbzAYDPuNEasGw13OZgn4m/8fBAGe57Vs69fFqeM4pNPpXRGnho3sheV2L8RtHMeN\n34UQjWvJcZyWsbRnSTAFHAwGw15jxKrBcJfRLl7axWldLCiliOOYMAxRSrGystKwnGYymUbE+l6y\nXcvqYbTA3i47Ebe3ypRwJ+IWag9AdVeC5ociYIO47USzkDXi1mAw3C5GrBoMB5xm4bFZjtP6ce05\nTuviNIoient7910MtItQI0Z2l52KvJ2I27ooLRaLd2S57SRuN+uzyXFrMBg6YcSqwXDA2I44rVtO\n68I0iiKARq7SVCrVuMlrralUKgf+5m4sq3vPTsRtFEVEUUQqldpU1Nat+neaBgxMdTKDwbA5Rqwa\nDF3mVmmk6t/bq0MJIRo+p83idKt2umFZbR7PZv0wbgAHk/YAq1uxF/62ncTtZmnAtkIp1fjMGHFr\nMNxdGLFqMOwztxKn9ZvkZtWhXNclnU43fAlvRf09uyFWDfcWOxV5+ylukyQhSRKklNsSt83vY8St\nwdBdjFg1GPaY9i393aoOdTdgfFYNW7Gf4rb+exRFtxS4t2O5bRe3poCDwbB7GLFqMOwyzeK0Od9l\nGIZks9kWcXon1aF2Qje32bebDaDdXcBgaOdOxG0Yho332C3L7W6IW1OdzGC4NUasGgx3SCdxWqf5\nRpMkCZVKZc+qQ21Ft8SqucHevRwGt5FmkVcXga7rdjx2r9KA3Urc3m51svrDbD0FXfP/68cbDIcF\nI1YNhh3QHrG8mTitp5Fqrg5VZ7eqQ+2EbopVEzhlOAhorbfcrWj2cd3u+9W/76a4bT+mva3mNada\nreK6bsdxtbskdLLYNgdlGnFrOMgYsWowbEHzjaYeELWVON2sOpQQgmKxSDqd7so4Dopo3MpqdBD6\nZzBsl90Wt53SgAENIdpJbNYtse3W1HZxu50CDpuJ207t7mTcBsNuYMSqwdBEs1VksxynUsrGDaAu\nULXWW1aH2o4P215iLKuGe51uuzXcjri9ldUWIAiCO8qUUG+r/v1W4rZZIG/HemvErWE3MGLVcE+z\nHXEqxHrp0vbqUI7j4HneLUuX1kVbt2+Yhr3lMInzwzKOOnfbeG4VVKW1plQqNXZu7iRTwu2KW1Od\nzLBfGLFquKdo39LfLAH/dqtDbZduL74H3bJ6mETeYaLb1+1uc5jGU3/wbfdz3cnr9yOYrN4WdK5O\nVn/fOnX//nrQqRG3BjBi1XDIqS+0zYn16zQvcndaHWo7NPuY7TcHSayaG4uhGxy2h6E7Hc9BFbd1\nKy1sPw0YGMvtYceIVcOhon1Lv3mbqlKpkM/ngd2rDrUTumk9PEiWy50KduM6YdgtDtt1tJ/j2YnI\nu5NMCVrXsjYEQbAtcdu8rt1uAQcjbg8+Rqwa7mqaxelmaaSajysUCl2rDtVtsdqNpPvtY95s4d/q\n3Dz/n36T8b/9LvpGj+1ZPw2Hn4PysLZbHOSHuHYf11vRLG6r1SqWZSGl3BPL7W6IW1PAYf8xYtVw\n19Du97SVOO1UHUprvSfVobZLtwRjve1u3qxv98Y68+pL3L94hcX/+jGc9/402d6+PeidoRN1C9dh\n4jCJiIMsVndKu7i1bXvL3a3tWG7ra22n8tZbicz2vtyJuDXVyXYPI1YNB5b2xWcrcdosTDtVhwJY\nWlra80pRW1G3FNxLtJ/r+lxu1wc4+NYzOJZkJFhh+hMfxfkH78fz/L3qruGQchg/d4dJrDaznXHd\njuV2vzMlQGt1sjiOUUp1rKD2pS99iSiK+IEf+IFtjedexIhVw4GhebHYTgL+5upQdXG6VXWo+mu7\ntcB32w2gG23X26xWq4056zSn9f6FYdj4fen6NXqmXwWrNl9jqze4+onf4eQP/uNDeZM27D2H6bo5\nrAJ8L9bonVov90Lc1sfVqYDD888/z5kzZ3Z1zIcNI1YNXaN9y2azBPztOU7bq0Ntt3Rpt7fC7wWx\nWp/PKIoa8wU1C0M9eK052rd58a9bIeq/F7/xRcat1nk9fvNVXv3k7zPxd9+9LWuHwQCH1wp5GMcE\n3R/XXojb+vf6+ve7v/u7/M7v/A6Dg4NEUcSLL77IpUuXGB4eZmhoiOHhYcbGxhgbG9tx/9/3vvfx\n6U9/mpGREb797W93PObnfu7nePrpp8lkMnz0ox/l0Ucf3XE7+4kRq4Z9o31Lv1OO09upDrVd6j6j\nexHpv932D5tYbRan9fkSopb2y3VdMpkMq6urpFKpht9wvT/173X3iCAIcF0XIQSF5SVyV1+CNpdJ\nIQTjl/+am88OMvrkWzdYOurX1O0EXhhaOawC77BwGH2KlVJ35TW3nXWkUqk0cnVrrXnPe97DY489\nxtzcHB/96Ec5ffo0CwsLvPTSS8zOzjI3N8e5c+f42Mc+tuP+/PiP/zg/+7M/y4/+6I92/P/TTz/N\nxYsXOX/+PF/72tf4qZ/6Kb761a/uuJ39xIhVw55RFxBxHBOGYYufYvOHu90SVxen260OtV267TN6\nWAKsmnPSNhdMqOekvZ2Hgfb5vfCFP+GsToCN8+5akspzX2X56DGG7z+34f+7tYVnaqIfHg6j8D6s\nYzpsArxO83wJIRgYGGBgYACAX//1X+eDH/zgro39jW98I1evXt30/5/85CcbQvYNb3gDKysrzMzM\nMDIysivt7wVGrBp2jXZ/02ZhVigU6O3tbQi2MAx3rTrUdjFuALfXdnvBBK31juZrp20nScJYdYZX\nrQwPUd7wf601kYhxvvH/sdI7QM9Q6wK7E2vpZlHFzQF9O/FNa97yM1Zbw15yWMXqYRtTnXpgaTt7\n5ae7FdPT04yPjzd+HxsbY3p62ohVw+Gk3d+0U4oQqIkPIQTFYrHx825Xh9oOdf/XbtFtsbxd2rf1\nmy3duzFft3rtze98g3EZke11ubKkOCGqLf+fUg6PDGexrYTpv/gE/tt/FM9P3VFfOvVJKcWF57/D\nc5/5U8rXZ8kiqS6voKoB+UQgqyFhocyN0gqZakxRx4QooihkKJH0RILVOKIiEnIJuFoQejaR7xKm\nHESsWAxLqCihN1AcSSxYu5lJAdMiIW3ZpC2H2HeIHAsnlyHIpij7EpH2SXwfO5/hgXMPkR0ewOnr\nYeDEcUZGR0mn07d1Tg4jh1EEmTHdPWy17hcKBTKZzKEc925ixKph2zSL063SSHWqDgW0+Jx2g26L\nxYNgWe10M2gOYGsXp7vhhtE+7s1uSPXj5JUXEEKQS7n4QcJCOWJAJI3jKn4a266JurGkwKU//yTH\n/+57t93HMAx55o8/ReWvv8PiC+dhfgmlNYFWBChUqcrC6jJekHA6sRnUDiNCsEqCFgol4ToJBU/Q\nH0geiVsD/LTWLBFwNaPIpl3SkUVfVdEjbagAlZC5pSJB1uWRxAZsSnZMwdJEFtwUCVU0QxXNqUAj\nZQylWlDG5YUV+oAHmpZupTVTfJ5JnZASkghd+/JdykoT2RLtO4iUD5k0R09OcPy1j9D32CM8/Man\nsO3Ot4G74cHKcLg4zGJ1s52Wqakpjh8/vq/9GRsbY2pqqvH7tWvXbiuQaz8xYtXQkfqNarsJ+Ju3\niTtVhyoUCrdM9LzXdNNntN5+N8VqnfbsCkqpRgBbNpvdNR/hZtrHvdlNaX7qCgPlWbBr18lEb4rv\nRJpUUCBtCVZiTW8qbnnNidUpJr/6ecaf+u9a/h7HMZ/7zGd55XNfovDKJdTMPEcXq+SqEdkYClLh\nAKElUEJgVUP60xYpafGY8gkdzc2U5mYQ4YeCIeGQ1xZX7ZixXJZhJVjxYqYtQbRcZSKsFZtYIqEy\n5PNdydpnxIJlN2ZOJQRRwkIYctpNcyRZ3xLMCJuMgJuEPJTxyQuLJKOZVxGJ1gRRwvUkoicR2JHT\nEnh2nYCcsJgQrdbl6WrAkOUwEkmoJLBUAkq8euE605/5MrManpMQeTaqJ8tKT4p0Xx+MDfM3/uEP\ncvqxRw+NcDhsIqgbW8f7wWH1Wd3MBQBgcnKSiYmJXW+z2XWpnXe84x385m/+Ju9973v56le/Sm9v\n74F2AQAjVg1rbOavV6ddnLZXh6on4N+sOlS3t+Drfaj7yHaDbolVrXVj3Kurqy2pv+4ku8J2aX7v\n+nW02XkIz3+LlN36QPPwUJq/uqF4WJeY93Kc623d3g6imK/8u3/Hf/3VD1GdXUYvrLBUKiA1uAjO\nJA6PqFphiBlHEXoWN4mYCC1cKVnRCSVPQd5FWCCiWh89BBMJYFuU7IQLMmbe1TxFCkfVxtQjbHoU\nqFyaG1IxnYQMIjipZEtsWK+06ZU2N62Q3hGfimWzuBowuKrIytoyfJOIbMYlL2rjt4RgxKolEL9k\nVXhTqubzXUgSFoQm1oKpIKA3dpFKciNR6FjjxJrLVsSxxKInBkXtRrmsEhZ8wfGiQGubAIWME64m\nJexKhSM3bCx9A8ULfPE//ymf8SxyuSy+55M6ex/3v/cdfNd//65DKSbuVg6jWD1sY4KtxzU1NbXr\nYvWHf/iH+cIXvsDCwgLHjx/nV37lVxo5rH/iJ36Ct7/97Xz2s5/l9OnTZDIZPvKRj+xq+3uBuMXN\n0+wDHVK2k+O0zmbVoeqCZzuLS6VSQWvdVT+6KIqoVCrk8/mutK+1Zmlpif7+/j1vp9nntC5OkyQh\nnU430kPtF8ViseFSALVt+E6L9/zsLNaffYxBd2Pf4ljxwkwBLMlrj+T48tdf4fwz51m6uYJVigmS\nhERCTkFZSk5HNr3CRmnNrKcp25p0WXGEmmhNtObFVEictRkJNSfsdatkUScsiJhcuSZGAWZdTZwT\nTHgu14IqTlEzJFsr0SzJhCQvyNgWc6WQ4ZKF3yTs5qRC5ARjTRVslpKYYhhzYzVkzHUZEhvtBxdE\nxITn4ItWkTitQnotm1zbbsVLcchoItFoYg0KTUElBKGiT1igQSKwgMkk5FTsrutqDReIGAkESisi\nS4JSTImIBIlGEORTeCeP8cZ/+j6e/HtvuyvERf2aq1+DdztKKSqVCplMpttd2VXK5XLD9egwEQQB\nQoiO1as+8IEP8Pf//t/nzW9+cxd6diDpuKAYy+o9wp0m4L9Vdahb0e0t+IPSB9h960E9PVjzQ0V9\nzpqLJqysrOy5FfVOmHruWc6ggI03KtuWXLo2y5U/f57/Nl9EVBOqWpHVEo/al0zgZOLWtuKtmGt2\nRKAE91UlUlqUgL9KVbA8m6O2xeNOFiklc17C+TDi/qQmZLPCIovFcibmsk5QAsayNn1O7UZzwk+x\n4sRcLAdMBA62lBSkIslJxv2aGOrvcZhNhdwsBBwPHMoSdBaOtd2s+iybXt8icAUVKZkuRdiRYJja\nPM2piJGMjd+WcDZUCmmxQajOhSEjiA1/X6nE3G+1lql9NSxzNvaQa9fDiopY1gn5QLNoa4RnMx8n\nCA19kYUnBLHWzBTLqG++wh+/7+f5fM8HcMdHefIXf5rH3/oWk9N2n7gXLZB3M1u5N0xNTXHixIn9\n7dBdiBGrh5TmHKebWU13szrUrej2Fny9D90OsKpvgd/JOa3Pa7ufcD1af7fmbLfYrvvDEb3Khcjm\ndU5rYvDf++Rf8sJfvkpPWVMVij5l0attErtWiVUrUKHiWOIw52lW7ZjZOGJCO2Rs+JYX4FmSftfl\nbzh5YgFTRMQaXGAIix5HcNHXjBSSxra8hYWdF+TTNlRaH3J6LJt81uJGJmZ1NSCXcziearXaDbsu\nQ/0O15KIm5WAx7xsx3FPq4gH8zXfbvI1IXq5WMYKNfNxwkPa3WBrmJYRJ2Vre0opSiiOt/39YlBh\nvO09zkcVBiObeTsmTDmEcYDUgrxwyKQtfOBiVOWRsCaUV5KIF5wIDeSqmhwWx5VPYaFCoXCZz/7Y\nz/EHPWle/4Pv5Ec++C8PXE7bwyqCDhOH1Q8Xtr7+ZmZmGB0d3ece3X0YsXpI2CzHaaVSQQhBKpVC\nCNESqb+b1aFuxUGwam4VEb/ffdgJW4lT3/e37YrR7WwIW/Vj5soFRp2Y0eODvHJtnrMpzcc+9WVu\nfukCSRQzoAW9orYVbtlwgwilFCksSrZi1HGYQ7MoE7JK8CYvy01P4WjBUyJNqBXXZESowZeSU3hc\nkxFekjAkHVwhOaPgZk6wWI6Qrk0uL3lkbZt11oq4WQo40rT1L4SgD0lpyEHqzlYTIQTYgseO9XNt\ntUxvJMiKdatnKUlwfafF6uJKyQP5LNNRwHdn81wpVUjChFBZeJWIchJx1PU2zPn5qMop2Wo9nVIx\nGWUzZ2sSRxBZsJBE9PguriMYdT3KScJUQTGR1G4HC1HIV5KQk8Ki2Ce4FoeIAJ4MUqA1L8kqBc8i\nj6AvEPQo6PWzWAUF/+GP+cDvf5xjTz3Gj/37XyeXyzX60imnbXup3Z3ktL2XrbaHUdQ1z/lhY6sc\nq92sqng3YcTqXcp2c5wKIYjjmFKptKfVoW5Ft62asHuWzTvtw63OQ/3m3fxQsZ0gtt1oey/YTrvq\nxgXstQX768+/woc/+QwnQotFHTEubDKOQ6wV80mEryz6hY0lBaFSOGWNcEG7MBBJXMdm0o44FjiE\nNrzsxpyJJCe1x00Z4yYJg5bDMe2wYidcUxHH1nxZfWC+zyLrS465636sw47Dck5wpRxxQtf6GWrF\nvCd4/WA/1VhxcbnAMW3jNF1bKzphIOeTdRzODvRwvVxhuhQynFg4QnDTgXP+Rj/KWGtCKbAsi1P5\nVovs1+cXWXYlCxpYE77L5QDLlyx4Ag1oASGKQqQ51uswmqqNZSkMGAxsBlmvHnetGjIeW9ywYlbd\nWpt/M84QKsWzlQIDOGQdm2/ZEflQM1F1iauawIHAt5lNAnQQEtsWvm0xEMPS57/Gv3n9m3n9z/0T\nvv9nf7pxHTR/vxXt4rWTyG0Xt50stPWHdMuyDk2xhsMqVg9j8N5WBpIwDLdtbLjXMWL1LmG7OU47\nVYcCcF13XxPwt1N3Oej2Ittt62Kn9uvitNlyKqXckP5rL9reD27VbqmwSmb1JotRhf/9f/sop+cD\nTtsOKSn5Pp3mOgGTSZWUtshJB9eCgkqoJAolFdoFJ1YEtmDJihm2BYmCF2SVSEseK7vczGjcMOII\nDstScUWHnBAuPcrC1YLnRJmBbIojOZfvdj0qKuFSKeCksy4key0bNyOYCkKOhZKrvuD1AzXLoW9L\nHhrs4cXVAkOhIIMk1pqlNjE6mk5BOsXLxTKrlZgzbucleFrFnMltDJ55uVzhdUN9uG3Xw0spiwec\nVn/YVwpFnkilWz5vC2HM+JowB/jLUoEx22c6rxl1XEQpwo80r6Yi4nLCfcrnsp0gQ8VoLChLyct2\nhbTtklGCUAj6LIvh2MGLLGZsjRCKIS/Lqzrir/+v3+Qvfvf3+Oef/gR9g4ObXgOd2Imo3I6wre9O\nbMdq2yx668ceJLq9ju4Fh3FMsHWO1enp6QOf3/SgYMTqAWW74rRd5AjRWh1KKUW5XMb3/c2a2hfq\n/e32gnQQxGrdT7h93hzHwXXdXROnndrutnW7EyuXXuTFZ/6Kz/znz/G6VAblSVQlwXMl35EhuYrg\nybAmCheTmFVbcyS0SYVQQDFLyIwX42mLPmEzX42Y1yH9KZ8xFy46CZ4lKTia6zqkX3hYieKvRZmx\nVArtCN6QG+RCFNG/FgCVkhZjGZ+LxQqn3PXPTlpaTHgeX1cl3tzXt2Es5/I5JitlorKibGvO9eY2\nHAPwQCbFi37EgtYEQUy/XF+KQ6VQsvNnJOfbG4TqTBAw2va3ShSRk627JhfLZYYTixDFjCNYjAIe\ny+fJ2DaVJOHZlRITvsM1FbBUDIkjTdF2SaKIWSHpd21yAYyTRgtNJBWpcsLYmoV6wVdU4oSJ0GYl\nVctle8RKU1oq8dt/8+9w8kd+mB/4xX+21aVw29xK2FYqlUaJ4E7uCM1f7S4Jze9/UNwRur2O7gWH\ncUyw9bj2KsfqYcSI1QNAfUG83epQdZGTTqc3+L4cBF/ROgfBFaAb+V7rDx71NFKlUqlhOd1LcdpO\nNy2r7W4qzfzeB38Fcek6b8/38nJQ5ojlMZrzuR5HDJegYmkmBwUlFdNXleS0QFmaSkozg+ZI1eNo\nDAkgbIEvBEoKKoWQZwoRyyS8Z3SQoaxPxrJZtBX3OWlipbgcBTyQrW2zn0ZwKVq3pmakZDSb4nIl\n4D5r3Wp5w1K88eQIUytlJuTGVDTHU2kuUSbY4lzfUDGPDeaRUrISBEwtlciHmh5pM0fCmczGFG9X\ngwpjHR46y1oz1FaF6loQtliFS1FEOYhZ9Bwsz+Z42sVf0mSkTSGJuFSp8pBr8yczi6yWQrLSIu84\n9ISKs4FPLCFICXRaUBaSpBhwLLSYdRO+kYlJCU1WCHKezcWcJpKSgURzw1Z4WkI15spHf4d/+8yX\n+NmPf7yr27374Y6wVeDYXgWR3e3ci2J1L3KsHlaMWO0C7YvdnVaH2oqDEFRUpy4Uu13Faq8FW31e\nm0uY1i3eUsrGg8W9zurqKr/17neQWVyl309xUUe8zsogNbxMwKBrk3ZsxoXFZBIyVLJIq9r1flVX\nuSkVg5Fg2QMna7GSBFhIBIIx4WBZDvdrzWS1yp9fXiARMG579GYcJnscHh/Kc8z2eLVS4UwqhWdJ\njuIyGQYcd2tCLyclpHymKhXGLY8pEXN6OE/KcRjrSTNZrHK8LTeq1hqRcnmoL8eFuRVOWa0+aUpr\nIls0Prs9nkfPEY/5SsDFhVXKwIkO58t2NlpV54OQ3ra/rYYRPWu+rJUkYV4obsQhDw7lGFhzSXhx\nfhU/jPmDhXmCSkihkpBLJGnX4a0qz9HEIQk1K65iqdfFUjFBGEEAbsYhzjtcI8GRNk+pmmBftBMq\nKB4VHmWdMJWCJ7BYtGDYcoiU5tLlq3zwTW/mlz//uX3NeXon699O3RHq39uF7E6yI3RyS6gfW3//\nw+bfeRDuUXvBVtWrpqameOtb37q/HbpLMWJ1H2herDbLcdosTndaHWor6gtdt0VivS/dtqzuVR/a\n3TG01o1tx2Zf4XK5fKCDu/ar3aWFBT7y3veQLC4zmEvjacgXbZY9WNIJ98UuOW2BgPNhhTDUyB6X\nVU9SjRPyVY8TsUT6tXM5K2P6Kj49wfq5LaqY5azFd1UyPOVlSbRmiZgbxZCoEPONqYBIamILXrQ1\nKd+mqBW9GZeptM3re7OkHIecFOiUx7eKZR4fHyTl1Hw+c47DSEZxsxxxpCk37I0k5txoH7aUPDLa\nz0uLBcZChbP22b2pYh7o2+geMJjyWB7q5ZGeFFeXi1iRwqkk9NsWU9WAYd/Z8JoVpbjPbRV9V6tV\ncpbk67PL6Aj6Y0m1FPMSZSpRQiVJEIlihpghaRMom7fHPdhSQgTLdsK8r1FCU6koMsUqOu9gORZ5\nabGK5kRgAzYhiutZRaqi6Y8tAgSTbkh/IjlTtZh0E3JKkFeCRVvzRDbLy2GF/+VNb+RffPZpenfo\nx3rQabaWbmet3o7Vtvl+Ub9XNN9LuumOsJscRgEOW4vwa9euGcvqNjFidQ/Yjjitb4lvVh1qJymJ\nbkV9ceu2WD0oJVd3ow/1bf3mFGCdxGk73XTL6Gbbzdf/3I0bfOwfvAe3WuXxoT6mShVmQ8XxnEOP\nZSOKmqwGNgkXAAAgAElEQVSSzFox10XC8YzHYLbmf1mII4qJZCARjbyhN2VCqiLIBOvt3bAjPGEx\nurp+XKA11R6bo0swoNeWPgVhrLgaB2SqgtcoH7EsSLTiMotMESAsiSck2oLPnS/gORbClSzKGDtl\nE7lwtj/PGc9nJY6o+pK5SsBqJSSKEzzL4oulIkdjjSMk15KAkZ4UubYCAVprpAWzpTI35woMpDwW\nteLF1RKFMGQ4cVldqlIuxGRDELGmiuK8EFRQCAFLYUw61pxIfB7WFgpYFTEpCYFUJCohlIpjlsOj\nOosUAiU1K/2SxJNEywFHAgtV0Mz22DDoEkiFF2lOJB4k0KM1kxlNupwwqG2OFGHV0Zx3Yk5VJeOh\nw5ydsChijkcOK7ZiTivGIotpHfKgm+KIpfiNd3wf//Aj/4kTDzywh1fe+rk9iOLtdoPIqtVqI5PL\nTq22e53T9nbZ7hwtLy7S09fX9f5uF6UUjrPxQRNqAVZGrG4PU251F2h2zK9v65dKpZZt+ubAmk7V\noepCZy8+gIVCAc/zOpZ6208OQsnVarVKkiQ7LlPYSZw2z9t2U4AFQUAURWSznRPE7yXdajsMQ4Ig\nIJfLMXvzJv/lh96NCgPe4KW5HkdopZlwPJRS/NVygWHHIbQ1Q45DpaoYWMthGivFtThmtFx70FuS\nijkvwVYWecuiDPiOYEnF9CiBq0AjsAQorZhPFIPKAikohhFJrFiOIxwhyEmLMNZEcYKbCJaiiAjN\n2cRvFAmoc1FWSVsWR7XTEAurJKzomJtE9EmbuC4WFLixpFdLFmWCJyQ5LdFARWgSqUkk3LAiUkji\nROFFcE6nGmtHqBSX7JC8tLARKDQRmjhR9Cc2GSTXvAjPloxpl4Ca1TRRGhUpJhKXAJhJR/TYDoPC\n4aoOKGvFfVWnxbUgQvHtPk3GETwcrud/LUjNTQdOrKqaBRZYtWt5bUeLAltKFi3FdC5hwHERtkUl\niYmkYtB2KKuEVa0Zkg5XKhXOuh4FWzNpCd72r/8N597w5J5eg6VSqfEQeRi41Xg6BZF1ErQHKYhs\nO6VWl25Oc/HLn+fxH/iRXW9/r9hsXFpr3va2t/HMM8/cNcJ7nzDlVvcKIQRBEDSeDKWULcJ1r6tD\n3YqDYNGEgxHstd0+tD9YKKUaDxbZbPa289N20xWi224AYRjyH37w3QxIxRnXZ1JHxFJwxnKpqoRn\nyyXOZH1GU7UgovOlMsfWcppWleLbcYVxx2e2TxMjGLZdHA0D8fo8lJMY33Hpr+qWJe+KDWcqa9bu\nBAaES8GOkRacqCfSX3uWm4tDstJlUNgsJjGzWoHWVCLFko7JxpJULBFy3SIVaY10JG8gt+G6mHSr\nrDoCD4coTpgPE8Yjh14hWY1j5tOKx0njCQskJLZmjphARsyqCF9IzkX+xuvNhmknZDoVkVWS0dBB\nSIGPxQQWWJBIzXesCoELr4nSpNbEzQlRG/PCIMwJTd98jEpblPodvltaJFJwI6sZWkxwpSSnBNmq\nZq7fRhcihhOLfCxASs4PJHgWnPQ9JhyHGyIhpyBve5SUYl7HvNZPU1AJCyi+b2iYZ0tlrCDCD2K+\n+C9/Efl//N+cfeyxXbneOnFQLau3y60+x/sRRHar4LGdCtu6S8NmzF18meqf/gEn3v6j23q/g8Jm\n4zosOX/3CyNWdwnLshrBNHWfxUKh0LC87WV1qFtxUMTqQS652snqvRdzdy+KVaid33/xt97Co76F\nqMYUPRtf2vRVYJKEFUvxaD5L71pg0MuVCiOB4IatqLiSiITHRI6UXLdOXI5DxoLWOVn0bY4WW6/1\nKyJhpKgRYt0KFStFscfhRKF1CawqRWBpjomaH+iIvb4b8YpT4SmnF4BVFTOTxKhEcb0aklaSs3qj\noJwSIf0pj576UuuA9jWLOuaqComF5njVwWsalyUER3CYtSIezGZJWRaLScRqOWCssm4JXbRi/KzN\nY56P1prrKqJUDRmtrAdizaUU96VTDDkeN1XEzdWA+9S6j+tABfo0vDIqybpw/1oOVhuYiGFm0EYs\nR/Sr2vU/XNKUXZuX7Zj+jEefBU86LtdVRBLVrq2j2uKGTJBxTNa2UdrmUhBw0vOIFUwHVR5Pp3jJ\nkjzSk+aFlRJP/9IvMPyHH6d/YGDTa+h26baf/G7TbAndLW7XHWGn2RG2Ch7biuvf+hqpv/yv6COn\nGJw4eUdj3U+2mquZmRlGRkb2u0t3LUas7hLFYpEgCFq2hl3X7Xp+UzgYIrHej26L5ubsCM3b+vtl\n9T4IQWb7jRCCf/7uv8ffzDrcXC3xmr4esrbkxZlVVN7ngXya88slepPaTWsqDKhakpU+m/tTLlJK\nXilWSSXr8zEdhfQHGprmaEomDBY0NInSOZHQGwnctp2lmz02Y6tJy+sBLouAB0WKdi5R5Yy9/ve8\ntMlLm3kZ8UifT6+wuFSpIGOBCDVORVOxFAOuS46N6eRSWtKXdTmRTrEQR0yFEbqkGA9q190NK6In\n5dC75us2Jj1G8y7z+Zj5KGG1FDKe9RlYKwQghGDMctFph2k/pBhECKE5kUnhr20/HpEOfT0WC77E\nngnpUZLA0tzot3jM86hKmEwSjkfrrktHIijkXa6HMaNlQcGFSq/NI67PjND0r2VnGJUOVz2NCGN6\nLJuj2mJaJsgoJufYaAGXopCTjsuiTpiPAu5zHGZUzJPDvXxtcZn/8wffxa/+2Rf3bKv+sFmwuhmo\nuRNhW//e6as5py3QCEBt/pr+y88x8vIzKCXwH3sLSZLcNUFkdYt+p35OTk5y/PjxLvTq7sSI1V0i\nk8mQSqUaF2V7UFU3OQgiEbor1LSuVbAJw5AkSVhaWmps6++nS8a9aFn94P/wg7wtbVFRmrceHSQl\nJX86u8RrB3McSXu8vFriSAxlFDOehfA9npDrAQkXwoCxmMa2fqwUSmlSQhIoRdERVCyoCEFp0GNB\na1xbotGsJDE5JSgphdbgWoK5KKZPClayHloLIiWIqgFXllY4IXxCFG6T4L2mAkYdF6vt+lBKEaQE\nR6xaX083+UFPVssUIo2baGSYkBHrgjXUiutexLl0zXd4wHYYsB3ilGY+ibmyWuJ+x6fXbg3KEEIw\nhIP2BXZWshwo+tu2t4UQjEmXK/mIVNqhWIrxm8SyJyRHA1gddLkaxeR9m4fXBHEaGBdwNZUwVqLh\nm5pLamvIt3tizmV9jq0J5DGtuKQTTq65akwgmPQsZBCTs2zGtMWUFTMcJ+RtCxBcDkLu81zmVEJA\nTJ9tsxpEPNjXy9Ek5ld/4Pv5wMc/s+1r617kbnJp2K47QpIkBEFAKpVqiNc4jpn8kz/i+LXncSzJ\n5NH7GRk+2nC5a7faHsSctlulrTKZAHaGEau7hGVZLUKg7rd6EDgoYnU/S67WF7vmbAt1cQrQ29vb\nlWCLe02s/vv/+Rc4V1pAei7ZRGMLwbOlEm8czJOxbEKl0GvJ6v2UzYglkeW48fpKlJCKwF67XlaE\n5oqrybku19DkbIdTmTSXw4CzutWCeTkOeY3ltYhMpRQp3+Goap37Jc9lpHeYPgRXyhXiBESiWSoF\nBEIzqNezCtS5akeccjZaYZVSSN/hu3rzAMxUq1wvRYiqZjixueLFPNwhyM0WAl8KHhrrZbYSUCgF\njMvWtFTLJHhpi+N+hlgpLpWr9FYg3ySGr9oRD/ZlkVIya4dcXg24T7QGV0pgaMCjIoCmLAqOlJxU\ngms5TXY1JmdZFC1NMevwxlSOl6OI+ka9JyTjFlyIFaepnc/jWnIlZWFVQtKWzbi2uWApTiiFD1RV\nwgvVKhO2wyqa/kRhWRJXxawKwZs9zb95/z/mf/rQb284P7fL3STutsNhGw+0WiCFEMRxzFf+04d4\nUzyDsCTFBPJP/m1SqVTLa+rf9zKn7W6MqxNTU1M88sgjd9zGvYIRq7tE+wUppSQMwy71ppX9FIlb\nUV8M9qIfdXHaXkDBcZwNacCq1WpXt9Dqi+d+92G/xeqf/T//keJff42j2QyJhBPS4roNfalaJSmt\nNV9eXOFkPs3JXM0qeX61zDHZbNWMySSa6bSD5Uj6XMH9SjLYpByXwpC8ahWTSik8y8Jqe158JYm5\nX9gbhGc54zFWrR18MrtuIb2cszmVznCtVGGyHCCqChFplNYcTXnIDnN4RYWcSq2/x4jvM+L7KKX4\naqHAUdchXhPuzURasWprzngeQ55HOZdweblEXyjowaaiFeW05uSaa5EtJWeyaWacgEuViBORzTU3\n4UTPehaSYccl22txFRhfCpFSsmQDfS4TnkusNBfchOMrYctNejwRXO/1maqGjOc97vdqYve0bXMp\nDjm5duvwheSYLZhWMWOqJphPJJorvo0bJsRpl7SUfCMKeLAnw2PZPq5FNZ/wJEx4oVRh1EsxVQp4\nKOsxFStGZq7ymd/6EN/3T96/8aIyHJgdu92keT0Mg4Ab/+3/ZTxcQliCRCnO90zw2NFjLa9ptpbu\nRk7bZoFbf9+dfHViq6Cxqakpvv/7v3/b5+hex4jVXaL9grQs60BYM2FvReLt9GU3Ftu6v1Oz3+l2\nCyh0s0hCtx8W9vJG12zNvnb5Is/9/kfpcxzG+9JcXyixkrPxpeBIHFFVCS/HCY8M9TCytq18s1yl\nN1IgJRWVMCMlgS24vz+Lv2YRP18JmGhTmje05oxoncsrOuF4Ilp8UmOl6HVdrLj1HMwmMb2Bpl3B\nzochg2sJ949lUhzLrFt1vriwiJCalTDiiLAb1tuFKKIv5W1wGYBantdT/VkmsmleXSmgyzFHlNUQ\nvNPEnM2vFwtIWxYPDeSZDwKmCrVUU6/N5De874jnMeQ4PFctc8xzSbdd12nL4gGtuX4sSzRfxu7x\nuM9bC6SSgjPa4lK/z5HFamPrH8D2bY4OpEhX1h+6fUtyVLhcDUMm1ip3ZYRASYtrKmFMS+YdAWkX\n5Vq8Jl0T1qeShOtBiC0lJzyX58tVXjvYQ9CX43IY8vhglq/PrzCqag+Y1z77cb559hyve9NbNox3\npxyEdW+3OWzjqc9RtVxi4fN/TPHaFR4QIYnSfDPyOP233nHHbXQjiCxJksYuqxCCMAxx3Zofvim1\nujOMWN0jDoo1s70/3c4zeLtCsV2cxnGMlHJHpWfrdDvIqdsPDrvVdn1Omq3ZUkocx+ETH/hFZJzw\n5tOjfPnaHA/25bivL8c3J+fwpKToO/Q7khFr3S+zECX0Axck9OVT+MBZsZ6TVymF3zZty2HIkLSg\n6blQKUVKSmTbsVO2YCJUG4Kq4oxHprrRZeeGinlth23+S9UKbzrSjytrD6QXCiWIQJZjgpTkhN05\nAfi8TLg/WxOjZ3pyqJziheUCXllhAUdynYMxBz2PFRR9rmQ1TMjLjZ+dioCJoTxVlVAIFTlaPwtC\nCAarMeeHPM6K1v5JITil4eX+NEcXy/hSMpN3OJaxyTg2U45FdSXAt2vvmZUS5ftMVkOOr/n25oRk\n1lG8bGmeHK652ISJaviopiyLrOsyVw0Y8j1OeS6XyhVOplPkhSRWmrccHeCvVwsEpZA+AV//jX/F\na777jXf8UHnYLJEH5Z6ym2itqZaKlJ/5FBNqlYrWaDTfUWnGH3qI/iNj+9qfOw0iaxa0SqmGn+3P\n/MzP8OlPf5qBgQGEEPzIj/wIIyMjDA8PN74/9dRTnDy584wHf/Inf8LP//zPo5Tife97H7/0S7/U\n8v8vfvGLvPOd72y897vf/W5++Zd/ecftdAsjVneJZutl++8HYWE5KH6rQmwvz2knISSEwHEcXNfd\nkTi93T7sFd0Sy7txHTbPSRRFjTlpfmD40D/7pxyxYp48NcpcNeS1Qz2M5TJ8Z34FrRVub44Hsz7n\nbyxSj/25uFqkqDS5vhSP92RRSnFluURzIP3FIGS8bbt/yXEYD1uF5hUSJuJWq2o1isl5DkK0zvuN\nJKavutGqOqcTxjfJ5OG7Nu6aYJRScqanJkCnKhVWqiFzccwgranOFpOYvnSb36iUPNLfQzEX81cr\nBR7d5HouqoRszuO+XJbpYpmZQsBIk+DUWrPgKB7K1YT91WKZUjFsBH7VWejx+e6My4Uwor8Uk2oL\nzHoQuDqYYjaIOJVxyKwFXo0LwYWcw3hl/TznAZ3xmC0H5DRMejbn+vtYQVFVirSUuJakz7WZD0IG\nPZcR2+LlQDGgFGlL4ieC5WrIqO/y7WKZ12d8TmZSZAb7uLpaJFmp8OGf/kf89Id/p+N52QkHYQ3e\nLQ7KPWU3Ka4sE375U4yLMt+ZXeVYUuIFkeHcSJbig090u3tbslXwVhzH+L7fuFd95CMfoVQqMTs7\ny/vf/35+8id/krm5OWZmZrh69SrPPvssvb29OxarSil+5md+hs997nOMjo7yxBNP8M53vpOzZ8+2\nHPfmN7+ZT33qU7c50u5ixOou0i5C6ub/blsz6305CGJ1szyn9SfQ5m393RKn2+3DflEXy91yQ9jJ\nza45/2xzWVnHcUilUhvG8Bef/gR9Ny8z2pMnFIJlDafzGYJEcaVQ4W33HcGWkm/OLXPacdBaczFR\nlLMpnuxZ9/N8ZaXERJsF0RMWUqzP20oUUogSpj0PL+WBLSkEAYVqzM2MSyLAtSQgmK5UOOq6zAmo\nJoK041AtV1gKNG6s8aDF/zTpyTJS2ehzfqlS4b585wpsiSV56tgwoVK8OreCU4kZWhOty5binO91\nfN2KBW87PcrVlSLFQshIW8WsOVvzUK4miMeyaQquw6vzq5wStQwFN2XC/f3r7gET2TQzjsNSrOkr\n11LWzWYcTqZq73vadfhOpDgWKDzZ5mtv27gpi0yb0L1PSi66iolw/fz3JJr5tEPoWLyhtxYwlgNe\nLFU4uzaEPsviiqXoX9vVOePavBhEPJzyOOI6XApDeoEH0z7fXi7ymt4sLxQqPDLUzzPJHMmNa3z6\nP36Yv/c//mTHc7cdjGX1YHPz2lXEs08zLmuRfirSnCfNE2M9TKWOcHTs7kzvtFlsQiaToaenh56e\nHt7xjjt3bwB49tlnuf/++xtuBT/0Qz/EJz/5yQ1i9W7+LBixuoccJL/VgyRW61skncRpPddpJyG0\nW3TbDaCbYvlWY2/2O63nn63nDb5V5a4kSXj193+LrCUYcG1uasV9vkMlTvjS4ip/e2Kk4ROZlRaF\nWDHjSB462sfcSrHlvZQWyCYhdbkc0BcrpgW4uTTKEsxU4Y2DPS2vO1+Ccz2plhKiAOm0z1hbv29Y\nHhODaXwkF1dLVBHkbJelQolcudqSr7WBK3E6PDQtRREDa2LUlZKHR/pqonV+hWKxypl85xK3oVJI\np/Z+Ez1ZiumIS3OrHFUWnpTM6Zhj6VYLb851eP3Rfl5YWiVdVfh5d8N4RzyHRRkxJ13sakzOt1qO\neTjj8R0RcjyIcdbGuWxLhnMufa7DVCVgrGm5sITguGNxTUUcW6sYNuvZnOjzWW6zSt/ne7xaCTjj\n1yzJxx2bC0HA/W4tIG3CdZgKQsY9l3Hb5pVimQeyaYZsm+lShVOey8tLq5zt66Unk+Lbn/0jZt/+\nDoaPHO14DrfDYRJ3WusDYQDZDVYXF7j+hU/zXdlaBpDnbyyxGMS89eQQlSjGft3jXe7h7bNVjtVr\n167tao7V6elpxsfHG78fO3aMZ599dsNxX/nKV3j00UcZGxvj137t1zh37tyu9WGvMWJ1F+mUEeAg\nCEQ4GIUBkiRpbCOHYbjBSlfPk7fX3KtuAJ3abvYFrj843G7+2V/9sffy2rRHWmlKjkRVFClXckVI\nzg734a/dYF9cWCVWmuxAhidyGV5cWOW+pgeTyVKVo2ttBkqxKAULEqzeFA8N5Bo3ar+0cfmyPRe3\nbW6vlKqMuM4GX9Ug7TG29qcH+9cDm672+mSCgNlYIyOIF1Y4YjtcCaucyGz0YQVY0YozqVbLqSsl\nDw/38VKqyEys6I81ebu1z/NCcSq33nbWcXjN6AAvzq/gVWMqnsWE1+o+ALV5fLi/h79cXuZch/8D\n9DsOgojnPcX3eBv9aB9Ou7wsYKySEFgC8g4j6doYeh3JYqjob7pMfSEZ8V1uFAIC1+L0oE/e9ehV\niouFKqfcWhspSzKU8VmoBAy4DlIIRh2XqSBg3PPICkHJtilFMRnHZsC2uFkJOJLyuBBGHJWCtJD4\nQiMRvOXUGB/5hffzS7//iY7jvBWHzRJ5WFhdXGDxK09zzAoBSZQkzASKv3VyCIC5zBFGJ051t5N3\nwFbX3eTk5L4HVz322GNMTk6STqd5+umnede73sWrr766r324Ew7H49kB4SCL1W4ItLpjebFYZHl5\nmdXV1UYfcrkcvb29ZLNZPM/b11K0B8ENoJvtJ0lCtVqlUCiwvLxMqVSqBS/5Pn19feTzedLpdEu6\nr1vxXz7yWwxFRSw0ru8wmM/Qh+a6ZTHWk6Y3qc17IY5ZtQSPHhtkfC1dlSdbrQ+htChpuJFNsdSf\n4ciRHh4e6eXcUE9DqF4tlFqEFEAhDElHMRvwXbw2S5Ray/vZThgr0koznPI5m0txpj/FseMDnHdh\nSWqqHT5DK3FM1u0cVHW9UuX0YI5Hjw+h+30uJ2Fj7qtJgrQ7L8HnBnso5mzymc5CFGBeJbxhYphy\nxqGwSU7najbF3zg2yLVN3uNsymXSl6xmnRYhPuB7hJag1HadZhGspm3GBzLk1zIlOFIykvWYCdbd\nJgaEoOiv9z1rSVzHobhWilomiheTiCuuw0rK46qKmdKalC15ZmGFY57DZLHKmWyKUjXkZEbykX/9\nq5uei3uJwyC+VxcXCJ77cyqFFUZTtfvkl2YqPH60Vs54JVSEx+8eq18nbpVj9cSJE7vW1tjYGJOT\nk43fr127xthYa1BaNpslna65ML3tbW8jiiIWFxd3rQ97jRGru0gnsXovFQaoi9NSqcTy8jIrKyuE\nYdjYQu7t7SWdTiOE2Fdx2k63xeJ+t9/80JAkCeVymTiOcV234TuVyWRwXfe25qRQKPDcJ36PN58e\nY7Ea8cSJIzx3fYkk4/PasSEWi1V6HZubYcykEDw0sC46r6wW6Wv6jFwNYxZUwtCxfs4N53mwP89s\nBIN+q2gLkWTsVjeRG0oyaLUuacUwJp1svO4vxAlH2DgHV7Vm2Go9B3nP4WhflqceOIZ3JM8FETOv\n1vs8h2J0E4tr5Nai4KG2zf/a44NcsRSrKmHB0tyXy3R8XaI1PbkUoyM9XI03+s5qrVkQit6UzwP9\neWZtTantmCKQ8SV9vksm5bC0ydT6uRQyu1G6n8j43LQgalo3pmzBkxPDFNsstX2WReC7LWvMOPBy\n08ODKwTfCiOm0i4Tp0f47vuPkc+neP3EMN/z4AQi6/Hw/cd43akxvhlFVOOEyytFPKV5dDBP+dtf\n48rFC50HsQWHQdw1c7ePpy5Uj7iKlK75wX9jVTHS30evZ1EME56LUpx4+HXd7uodsVX2nd1OW/XE\nE09w4cIFrl69ShiG/MEf/MEGf9iZmZnGz88++yxaa/r7+3etD3uNcQPYRQ5yrtW9sCY2B9/EcYxS\nquFzupm1tNtCEbpv8d6PfKfN2/rN86KUwvM8PK9zsM/t8K9++sd4+5lxLi6t8p7XnGSuVCXj2zx8\ndIAwjvHjmCta0DuQI1MJ6XPXl51Q1fKALirNiuugPJe3tgsn1Rqtr5RCqo3nzxEC2gTo5SjhIX+j\ndTKT8ZEdroG077Z7C9T6mc2QdwV51+FoPkM5irg4v0pcCjZYbessRxE9fusSK6XkdWMDXFkpslqo\ndnwdwI0o4sGjfbWgpGMDfPPqLA+6fuPzdEPFvGakr3H8oyP9nC8G6EKV7Noxy2mHc2si+ljW54LS\nLFcjepsGOCstTgxmUBrmqwmDuvXh+qFcmherCSeDkEtCcHIwh2tbTKQ9Xlks8ECTP+19ns3zhYBz\na6fDlpIxz+HFYoWeoV6Gcj7f4zrcLBQbeXNvrgWxOVKS8j1KYcRoPkNBa84N9/OF85OMOjY3SgFP\nHOnjC//2f+Uf/frHNj1v9wJ3s1itC9VRH56/OsdZV/GNVbh/dJDq4gKVSHMx8Tjx+Bu73dU7Zqt5\n2u1Sq5Zl8Ru/8Rt87/d+byN11YMPPsiHP/xhhBD8xE/8BH/0R3/Ehz70oYbb3R/+4R/uWvv7gbjF\nTfPuDR3rAlrrlqpVWmuWlpbo6+vr+uKyG31pF6fNwTeO42zLWnoQzkkcx5RKJXp6em598B5QrVZJ\nkoRMprNVbad0qt5Vn5P2eSkWi42Hid3gkx/7bZJn/4yJvixKaU7nUvz59AJ/Z2IYgOem5yBWHD86\nwEAmxflrs4yvicdSEHF+bhknl2J8IM9gJsWLsyvcn1q32k2tlskoTc5Zt6J+c2GFh9J+S/T+VLlK\nn5Ck2iyrl5TghG4VpbNBRNqzybcde70a0uu7ZNsstkop5jyPsQ7xfleKZSqRgkKV8Tbf0VeDKo8M\ndr7GLpcqnBjp46XJOY5bdkvQltaa83HE60YHGn9TSvHcjUXGE4ElBBdEwmNHNlpFzher5IoBFcti\nqNcn12YBfaUcMVCskhIQas31bIrXDtSCvy6VqvQEEZm2z2UlivhOoDk7kGEovX7dTAcxslRmsGnc\nK3HCcrHKqOf+/+y9eZAc6Zne98usrMqqyrrvo+8DDaBxNI4ZcIbD4bkH1xK1Dq5sSmHTkhwWN+wN\nWRGKkMXQP/JKIYcsSxvU0mtxQ9JKa0mktauDqxW51Irc4TnDOXGfjW70fVXXfVce/qO67mwMgGmg\ngSGeCESgq7Iyv+/LzC+ffL/nfV4Mw2DFIpC2Wvl4vEOsr+UrzLqa+1F1nWvZMqdDTTeDd3ZyvBAL\nUKg3SDc0xv1u3tpIkcuX8dskdjWd3OQZ/vxf/eum42qGarXarmb3YUCxWERRlEN/pjwsttfXEG69\nTmLv/ebW0hblRoOTYzGurqY4Zq1zvWYlFI8T/eTnn7n+9aNSqbSfj/347Gc/y2uvvWb63XP01xds\n4pcsvz0AACAASURBVLkM4ADRn/nX7716mGiVpHuYiGKLfJfLZe7cvEkmk6FarSKKIk6nE7/fj9vt\nxuFwPHAiztMwJs/68VvktFt3Wi6XMQwDh8PR1p2anZeD7PvO1hbv/affZ8LvZr2qMuN1crlYYybY\nTBhSNZ2Nco2TYwmCioPb22nCe0RQ03XezhaIxQOcGYkSUhzsFMv4+2akXa2XqAJYrI6BMqdFURog\nqsvVGhF1UMNatNsGiCpA1jpIVAHmVYN4f4WBPVQNOJkIMj4a5p5okNWax6tpGk6buZuFYRiUBXBY\nrZydTHAXnVKXFGLL0DkZ8/f8phmRDbFhE7hZr3Mm4jPd97TLzrpNIiUJA0QVYMZpZVOx09B1tlxK\nm6gCTCh21iXrwPWhWq14Ay7EPrKXlCV27L3yB69koSbbyKsqS3Ybp8ZjfGwoyM1sudMGl8zVXPNv\nSRTxyRZK9Wby57jXyVq+jNtmRd2r+pP0uHhhZpScxULSYUO49TZba/upcD/ceBqeJY+CQjbD6pvf\nbRPVxa00O/kCR4ebyVSKWuVy2cKZiTh6bPKZJ6qwf2S1ZWl1GNaFzzKek9UDxtOcZPV+bWktH5fL\nZXK5XJucCoJAYniIG++81SZBD5N804/DJouHfU4epf+apvUkq7X0p7Ist3WnD5IUdZBj/4f/4G9x\nLhGiYbMRs9u4VajiVezE7TY0XedHG2k+PjWEtJdEpKo6dslCXlVZQCAZCTDS5Q+6WqwR6iNYjr6m\n7laqOPQ6K5rBMgLrNpklm420AKtuhVW3kxWXkyXFwarDQcqnsObzsKjY2XA72VCcFHSdZdWg1nUN\n6LqO14TAAjg9rgFyDLBWrDC8Z8TvstuYG4ngiHhZQWdJbTC5j13VZq3ByWgnKnphLEbZYyezFwGu\nSkJP2dNuHI/4ycsSjfucQ1/Agy8aQDORSgCcUKxcl23EnIMPy1mXjaWuClyqrpNy2HkhEWBd0weu\nnRlZZL7vfcAjiVyzWjg7Em5WNBNFnHYr5XpzQ0kUcdlsFPdWoUYVB7fzTUlEwGYlpTbHYVhxcGUz\nTdLlYDGd5zNHx1jRQLFY+Mbf+evU6/WeVZ7u0pfdeJaXzffDs9SfYj7H7vU3Sdg7bb6ymuLM1BAO\nWebKyjZZTeDcZJz1sk5k+sQhtvbgoOu66XmqVqvIsvxMncOnAc9j0I8ZFosFTdOeinB/P0nr9tRs\nLSPfz7bo+Ok53vzOH/LiL/ypA2nHYb9ZHtZD7EEI435m/JIkfSAP2oMiq+/86DW0XApdcSDLNhq1\nKhOjQ6xsbGG123g7XSQc9KPsZckXazWEusodHdwBNyNOmVK20LNPa9+5uLZbYNxqoa7ppAQR1W7n\nZrHGR0ejRFwdY/73NtP8/GSix5cVwJ6rMOPulTvcTuf5aDyJzSIyn86xrTbLsq7sZjklD1ayStXq\n+KwSWAavk4JhMNpnVxV1O4m6nXx/ZYeNeoO4iUtARQRb33wwFfSyYS1zaSvN2b6oajcWShX+zNwk\nb93b4KggYunrs6rrSIqDU36FSzswpZknZ4VCXkqSSKhP6SWKIiGbyE5VIGwYrMp25qLNKO5c2MOt\n3RJTXWoH2WLB7xRIFUqEZCu7gogU9vCSy8FWqUR0TzM77nZwLVPk6J5eeUyxcatUZ2ZvP0mnlfVi\nhYTLwYTTyu1MkSN+F4okUq2rjLvsLGdynEiEWMoWCO1k+OF/+Dd89HO/0lPWEgZrtLfupW7fy1bi\ny7NGGJ414l0uFijcfodiepfpYPNauLyZ54XpYRRHM8x6ez3F5y8cb9orhoeRPgRyje5Klv1YXV3t\n8UR9jgfD4TOoDxme5siqIAg0Go0eM/6Wlstut79vVC4QjREbHuHq977DiU/9wiO347DH5LBL4ZoR\nxg9ixv+wxz6IsX/tX/wWPknk1WNjfPfyPC/NjNBQGyjAj1NFPnVygrsr2+3tL23nsVhlzoyFUGSZ\nt9ZSnFY6yTkr2QLJruX+qqqx3dCRfW6sosjRPQJncytE7L1RR4vVOkBUb6cLjJhkuKs2ea+qFUwF\nOnpSR8CNXqtwM19H0VRCjRoOUSRrd3LUhKhquoG2z+nYKlV4eXqIuqYyv7zNsMWCvHfMXL2B12Fe\nxjXucZJCY1PVGdtvZpatiKLIhYkkP15Nc8rQeq6LDdnBcX9TCz3pkVnJGwxrvf7K66KV0xEvG+UK\nuXIdb1//QnYbC5rOrVKD6VhHVy2JIrJVpKhpuLqi0DGryB2XC0NTkQMuhr3NiPLNuoNod/+cMpul\nKrG98x61iayXayScMhG7jWuFKglAsUo0qhq6rjPqdvJeKs/5RIDVTJHTQz5yDQ1RtLD4g29j+5U/\n35Nx3V2fvfWvFXXVNK2nZjsMEtv+f93ez08DSXyWyGqlVCJ3623ibpnaTnO87+XrFHWBU54mcX19\nYZP/6uwRJEliq9wgMHfyMJt8YLhfQYDD8Fj9MOC5DOCA8TSR1RYBqlQq5PN5arVaO0rX8tRsLR8/\nqG3RyPFTSBaRhde//8jtOmwZABzueWlZmnWfm0wmQ6VSAXhkPfCTwj/7P/82Iz6FMyMxNgslphIh\nYj438ztZ1lT49KlJrm+kGd4r75mra+h2O6/MJFH2ErukvtO/XtFwWS0UGir3dIF1u5MTU0lOJoJt\nopotV/AwaAVnlo1ftVhxmOhPMTnldVXFic6I18VHhgOcHItQDfpZdbkoa6rptbpmCJwMmidPZVUN\nRbbidzo4d3SUZYtIek+TmbZYSHrME+ty9TpDQR/DQxFum5R6XSpXmQx1tKoXEj6uGB1Wq+o6elfE\n3SXb8Npt7Aqdz+q6jma3Ikkiwx6FLYsF1eQ+iDtspGwS/r4SsVM+hQ1hcFwVETatljZRBRiyW1go\nVtp/B2Qr+a6qYD6rRLlLcjDusHIj0zTgmnHZuJlv/jZql9gplJhw2bm8tkvcIXNsKIyAzu/8+v/W\n044WwbRYLO0kQ0EQsNls2O12nE4niqLgcrlQFAWHw4Esyz2JiC1iW6/XqVQqlEql9r9yuUylUqFa\nrVKr1dpSBDMi/DjwrJDVSqlE5uabxF027q5skHSIrBbqCG4PEWfzml3M11DcHlwOO8Vqg5s1O3aH\neSnjZw33s616TlYfDc/J6gHjMMlqNzk1M3xXFKW9xP+onpoARz/+c6zeuMLa5Xcf6feHHVmFJ0+Y\nWw/AarVKqdR8IHefG5/P90hm/A+LD9rvWrVKfekmIa+b48kwy5kSJ4ejGIbBUqbIhanhZjRKN7CI\nIqm6xjIWjoc7xG6nUCIu9favbgjcFGRqwQAnpoYRJZGEvXc5cKWiEe777Hq6wKhjcNnQY2JXdStT\nYsI1+PmdYp243BvKHA+4iHmdHB+Ncs/h5LYqoHeNWwnR9GGk6TpiH8E7P5HAEvWzqOoI4v7nNaMa\nJLxufA6ZIyMR7qm994jmsOPq6pckipwKu5kXmm3fsDmYDfQ+7ONuOzWHjeKefnVFtDEb7uiET4c9\n3DNZYNuw2Pi5o0mWqoNV7yZcNta6mpbVdESfm/F4hHpXQpvLaoE+8jHilLmZ7TjCDlkF5gtNUlrX\nDDIG3KxqrKgGO6rGYqNJwK/sFnFaJWSLQMhpI5Ur8dLMONnlBVKbG+YDuof9CJ4ZsbXZbMiy/FDE\nVlVVarXaAxHblr72SRDbw0K5VGxqVPfuNU1VyasGdaebTK7EuFtmvVhnp6oz4pKoNVQupauc/Ogn\nD7nlB4cnaVv1s4LnMoADxpMsDNAiQN26U0EQ2tZEiqL0PFBbnpsHgRf+3P/ID/7h/45hsTA0e/qh\nfisIwqEXS3gSFb1acovWuekuL9toNPB4PE88SvJByepv/c2/yrnhKJNeB+9sZBgLNyN9P7i3xZ+Z\nm0aSRErVGg5NZa0GFp8XCmWiXUvyi9kKc64mwcw1NC4W6pwYDZHwdQitIViQ+hKebCZaNsGhYLP0\nnseFbImowwb0RgDLNjt2k2ir1e4wPQ95QWTK7SDidqLrOldSRcSairdSwIUGDLZno9bgWGRQczri\n96CKIvlyvakr7a+oZRg0utrgtsuMxQPc20gzJolkGxoh72DUySVLDHvtLOdrGGaRZGDa4+SyaqCX\nyyj+QQlCwm1jLVMiuedekNIhEVZQZJkKJSqq1hOldlqtGJYGZVVFBHIuhZMRH4ZhcHm7yqy781gZ\nky1cz5Q4vqcdVqwWZLcLXdeaLzUG7OgCgsVGOBHgM143V7azzMYDzAJXtjLMDEXQV7b5STrHqE3k\n3bVdJkNeSoLAC1Mj/Iu/82X+2lf/uWnfDwr7LemawUyK0PrXWtl6EClCS4LQfeynPbJarVa5+IM/\n5uWJpnVdNldELxfIB8KMRcMsFBdJ1wyKVicOuYrXbuHNzQKJ6eO4veYOF88i9kuugoMvCPCzgueR\n1ceMVmGAg3iD7o7OtSKnrazwVjUin8/XrkbUH/k5yIimw+Fg5le+yMWv/xPuXr/yUL897HKnj6sN\n3VZfuVyup4JXd3lZu91+aFKID3Lcd376Y6YUkZpuUNYMaoLIpN/FQraM1+NGtjZJyp3tLBUDnCE/\nY2E/Ut/xPLINVdOZV0WKXh9DyVgPUQWw9E30dVXFoQ/aUMnG4PVct9lRrIPEzWviLatqOlaT/QKU\n652ooiiKnI54ODkc4IZNQXSZSwBqonnEFUCXLLx4dJS7ukG172VtrVzlRDLU85nbLjORCHK9Uidn\nlYi5zJdIg047DcVO2ITMtnAqoHBVsDDtH5QgBJ12KnaZkqqhGwYbopXw3rFOxQLcqA3ub9Lj5K5q\nsCTZOBlv+sEKgkDM7WS31Cl2IFlEfC5H2wkAYEIWuVpSuVnTWZEdfPrsUUTZRsLvQRQFXF2VsHyy\nlVKlxrHhCJ6An9iRCVINjZquky9VGA+4uTAa5vt/+O/27fuTJnj3i9g6HI73jdhC50W3P2Jbq9XQ\nNK0nYtvtiHBQz5pHQa1WY/nODWJdqxfv3b6L5AkwloyxvLGNotXY0mQCHhchUePyToXp8VEc0Q8X\neTMMY995YH19nZGRkSfcomcfz8nqAeMgvVa7yWnLsqhQKLRLZXo8njY5lWV535ujuy0HufQ0NnOc\n2Cs/x9v/79co5XMP/LsPiwygFSnp1p22rL4URcHn8+F2u7Hb7QMJUs8iWf32P/0tggEfLkGn7lCI\nux1sl+qIbg+eLm54Z7fA8GicuN9LplgiJneuy41ckWKpwqLVyckjI0zFgtj6iMTCbp6hviSqm+ky\nib5qUHeyJaLCYITeZnIbzOcqxMTBJe3LmRITrkESm66rRGXzhafhWJCpkTCXdIm02hnLckM1jdwC\nlOoq8p4DwPmpYTYsEkW10/asZv5wU2QbU8kQ+fepzyI57JRtcs8+u1FUNUbjQRYr5t+fDLqYF2UW\nJQcfGe4tNjDhtbNpwuclj5dQsDcaFnXaSIm9Eechu8S9rmy0rA5Vh51jk0nmxuKIooDTLrfnhAmv\nkytbGQCGfS4WUs25ZSroZrtY5k+/fJobFZ1CXaNcq+G0Slz5z//xPqPz9MKM2LZkCGbEVpKkdlJs\ni9hqmjZAbIvF4oAUod/q6yCJbb1eZ+n2DYq7O4zu+SwXKjVcvgCTo80a9alUml3RzpHxJKubOxRV\nneHhGLsNC8Fo/EDa8bTgfh6rref3czwcnpPVx4APolvt9tPM5XLk83lUVcVqtbbJqcvlapczfdh2\nHTRRPP+Ln8M7Ms63vvJ3e6p3vV87DpusPso43M+Mv5Wwtp8Zfz+eNbL67//lP2HE52zWiXe6cDvs\nOHWVXcFCsVJl3NeM2L25keYTJybxu5p/39nMtqseVRsqNwp1jh0b5dRYDICdXBGf2Hseikgo1l6i\nKMuDGuuGzTGQRLVUqBBikFnVnS6cJkRSdrlNz1NGlIm6ByOVhbqKW9Cw2yRemU6gh/zMS81xWajU\nGe/yje3GTkNlMtIhgafG4uScdtINlWy9QdzvNv0dQFEQmZ0eYckwt/RZbxjMhN0cDXtYYtDUH2BR\nlzg9HEVzOimq5tf9pFsibxEGSHPEZSdliGhd98t6w2Ai5iMvDh4v6ZK5l6/0fJZw2tgq17hd1dAC\nfj59YoK7hc58MRFwc3F9F2heo64u8uqUrRQrVXxOmYraJAETER9nz8xybTtH3Gnj/FiEf/4P/u5A\nnw57Becg0bpO34/Ytv51R2xbK0kPQmy7E8cehNg2Gg3u3bpGPOjFKTYtCUvVGj+8tcKpiSEAsoUi\n27kix6fG0HWd3VQKh9ffrKTniz2xMXxS2C/BStO0HoeJ53hwPCerTwD3I0a6rveYvefzeRqNxsDS\n8aOQUzM8DqL4yb/4v1CvVfnhP/1HD/RwaE2cz0IVqf3M+Fuyi4d1U3jY4z8N0HWdKz/4LueOTbKy\nk+XFYxNs72ZZVwVOTI4g7FUaupMtU7faiXZlu3v2oqGpaoNbqpWx4QQeR6fq0XqxRsjRG2WQ+2Yl\nXdcRuxJ3CjWVlZpOulLnHjL3BDvXVCt3rR4WsLMqKSxoIiuqwEJZZb1cxyYMjrWu6z0R4W7kKyZr\n38COYWGsi1iOBz2cGQ2xpPioOvcnnHWTU300EUbzurlerjN8H7JaMiDsceFwO9gw2VHBZse1J3E4\nk/Bzqy+AXNF03HvL+rMhNwuYW2dtyx4iQR/lxuD8MBd0ML9HlquaTtZqJ+ZzMRd1c7fau61PtlK2\n98oN/FaRqxWNqYkhRvccDYKKnUK1SVgFQcDhdKCqnejq5a1s8/9+Fzd2mtHVhMPK0m6OqYif66ub\n/PLHXuDdrSwWAxy5DTbX10z79mEhBw8yZ3RrXlvEtjtx7P2IbbcjwvsR23K5zPz1y8SDPlKpFBGn\nSLVe5/pujfFkDJtVwjAM3rmzwi++ch6A7715iaGhJNGQn82SRnT4wycB2C+yurGxQTz+4YoiPyk8\nT7B6DOi/SFuFAaCjRWolRRmG0X5Ldjgcj/2t63Eswct2Oxf+27/Id/7xP2Toj/4tM5/9lftuf9g+\np602mE38j8uM/0GP/7jxKMf9J3//b5MMeMjX67x6ahqAOxs7fOFTFyiUKngFncV8hdBQkupaJzM7\nV6zgRmeh1MAaCHDc7yGzk+rZt9wX7dzKlwgaKq2pqaZqvJEq4VFcXNOazlOxiB+naOEFq4i3z5Tf\n6vNw1N07rd3dyVIplrljlRE1HalexatWWa7qnPL1lgsFyNVVovus0lXNy1YzHnSx4rByMVfktNIb\nVc9W6wQVc4I4Hvaxphps1lVitsHpeKdSY2QviW3Ur3ClWiNXreLdc1PINXSCXYxbFEUSATerhRpD\nQpO13kPmbLhDho8FZG5sVjjWVcEqq+qEvHZGA24urWeYNSkW4JYEMg2DDYud82Ph9ucNQ6emCshS\n5y1jxmXl+m6J4+4mWXm7qPLq2eNs53K49s7ZkMfB5c0MJ/ccDo4GXLyzkeV83IcgCHjsNlRVR5JE\noi4nhUoVn9POZrrUlNpIIgIwnIyzm84Sd9n5o9/5Kn/hb/4f7XY87QlJj4KD7M/DeMi25o0WGVNV\nlbvXLzMcbWqts6kdhqIu3l3NEEyO4KulAbi0vMNIvBk9LZSrhEJBJpJRStUaWcFO+MB683TgfgUB\nnttWPTqeR1YfA7ovUl3X29HTbDbbTrqxWCy4XK776hofBx6XXnTq5BzHXv44d974Ictv/uB9tz/s\nyGJrHPpLzGazWWq1GqIots9PKynqICtuHTZZfdBjb6ytkVtd5JdfmqOuwXA4wE9uLvGnPzIHwK2V\nTSo6OKMxLKJA2NkhfxfX0yzWIDk2yngsxI2VLWLuzveqqmLXepfst+oGsihws6hxSbOz5PQTm5zi\nwrERzh8Z4cUjI4yE/GRq2gBRLVSreE18WEuCxIXJJKdHQpwcj3BsZgQjHmPb7uZyQ2Kn1tuG5brI\nkGdQAlBRNRzaoO4VIKVbmBuJ8uKxUX6ar1LsSijKaDpxn3nkdKNc5SPTwwheD1u1QfnCVkMj0JVY\ndTIeYE2SKWvNe3hbsjPk7Y1iRlwONNlGToO6biD02YS5ZBmnWyHXFUHdkJyMBpptTLhlNmuD18eY\n18GNmsFEtFfqcCLqZbHRewxZEnEoDhqqxnsNK6+cmsan2MnrvY+coGInV26GZgVBwO/qRFfHvU6u\np5rR1WG3nflsudk+p5V7qSzHYgGurGwwmwwRiUUo6QIRscHV994ZaPuHBYf9gt/tUvD9P/kThiLB\n9vceq8F7qxlmTp+lsLtN0KNwezNDRbAxEnJRazT48c0VjiRC6LrO63c3GZs5gaZp7YitmYft05A8\n9jC4X3LVcyeAR8dzsvoYoOs6pVKpnRHeiqr2k9PDMHt/nJn4n/zzf4myzcnu6/+Zhfd++r7tOAzd\naisiUK/X0TSNTCZDudx8CD5JM/7DJKsPg3/11b/P+Zlxrm/nmY742c6XsMp2lD0d6uJOBlc8Rjzg\n5c56msReZZpMtY7ucvPK3Ex7W0PqlUpcXU8z3JXctFxS2Wro7LgDnDo9wwtHhjgxHBmQBYC5jdV8\npkrcPZgsZZbMkAx4ODYS56XZERzDcW5YHMxrErmaimDiGgCwpYlMhcw1qdW9S1mSJD41N8O61c76\nXlZ8obG/TVtZkHDINkbDfjS3i50uktvQdJAHI7LnhoPMCzIVVUM1zPc9E3CybLFz15A5kwgMfH8k\n4GJebc4FKRXins5xwm4nW4aArvden3VNwxcOkNMHX9rsUtOGrBtTioVv71Z5aWao/fCeDPu4vZc8\nBZB0O5gvdCQXE26Zi6k80LxW3XZb27s14pDJlSt47DbKe9pVh0VENAQEXeeTL55CMwze+A//ur2/\nD1tk9Wnoj67rXL56i2jA127Lndu3SRWqTJ2cQ9d1vJLBciqPFEjilwVsksTl1TTDsRCKXebKeoaJ\nE2ex2WxYrVYURWlXUewvzmAmRdivOMPTQGzvd45WVlaeOwE8Ip6T1ccAcc++ppURrigKgiA8FZWI\nHidJFASBT/6lX+PSRpqd1/4j927fPJR2dGM/u6+2NY7P19adPk4z/n4cZpLZgxLld958HUujynDY\nT13TCSoOFgt1gnsEc2Enx4nJMZJ7GeHKnhn+TrnOkm5nPNzrN+rti/BZ9qoXXc9UuFyzEBwd4tho\ngulkZ2FwI5snZO1tq67ryCYRVKt9MBpaV1UUYXCcF1J5kntB3rDHxdnxGCdnhtnxeNnVDVImAdSC\naj5mpYaGU+iNis5NJLDHIvxkJ89UyNzmyjAMal0WVhOxIFWnwuZe9aqFcoOzw+aLpC8MB/huVjUl\noi2cj7pYM9GftvBiIsAdVWLbaifWF509E/dxp957vhY1Ky9OD5HXjAEiOxlws6r2ktibNZHzp45S\n6SLgHtlKydZ7nhJehUxXdDWgONoEdczj5MqedjWh2FjaS8pqaVePRX28t7zOTNTH/PoOiUQCqV7m\nT771bLoDvB8Om6wahsHla7eo1FRigc5qweLqBuMn5hBFkfk7t7FbLVTsflRVJapYubq6iycyRNxp\n4e52DskTJDEyhmEYbXK6X3EGM43tflXHngZie7/qVSsrK4yNjR3YsX6W8JysPgaIotgTmWsVBnga\nljAeN0kMx5PM/dJ/zXwqy8K3/w2lQt50u8cZWWzJLlrR7ZajQr8Xbasdh4HD9Jp90LG/9r1vcXJy\nhO06JL0O3ltLoQsWJiN+8tU6V7fzHBtpVn+v1ut4qLNZbrBhUdBFgZEuPei1lW2GnJ3pRtN17qby\nvJHXmD19jDMzoyzsZBn29ZKmzVKDgLM30vneeoZhz2DE0W6SRHVps8CQybZ5ZBR5MDore/z84twU\nYiTMZUNpk9aaqiHuIwFYVyWmo4OFAIZCPoLJGMua+XivlqrMJnvJ6HQiRFVR2K2rFMT9UwpEUWR0\ncoxblf2n8HtVuHBsmNWq+f0uSSJ1AXwm1b5EUcQuS22pQLqm4torpXp6KMTtwuBYRO0C65Xm58s1\niCfDTIY8XNkt9/bR7+TWTmdeSLgdLBQ7+xt3y7y3UwSa12pd1bmVLrJYUsmW69xI5dENnWK9mdgX\nVByIhoBo6JwYjRGMRLj2/T8CDp/cHSQO+/lhGAaXrt7EHx7CopZwOpsvHZdvzjN39mx7BaOWy7CL\nk2g8TiWXIl2u4xueoJrbQTUEDFcIpzeI3W5/6PPTkiI8KLF1Op0PTGzvV073YYjt+0VWn5PVR8Nz\nsvoY0O+12tL4HPZk02rL447ozb36c9jCCdLpXd7+vd9BVQe1eAfZjv3M+C0Wy4CjQuuN94P43x4E\nnpbrYT/8l2/9AY1Go7mk51Eol6uMT09jtwious71bIPxWIdo3VhNgShRcLg5MTGEVbT0RBc0QWr7\njC4XNf54vcIvvHyaV04faW9n2bPY6YZNGiRSFlkZ2G5+J0fCPjidWd1e0weHTTbPoKoZzX3E/W5e\nmIwiRsJcMZy8vl3hVMy8wk5VuI+W2WLh9PFpLhXrPdZPABWh+cDtx9GhCAuagG+fpCyArXKDqYgL\nh0dhZx/HuKIkE/d7SAsS1YZ54QNcHnLWwSQzgMmQh7t7K/SLmpXxvcpcoiiiiwKVvmX/qEdhR7eQ\nqmoYPi9hT5PcRv0uCtWOZYBbtlKy9L6AhBWZ3VLT7koQBATgWlXkUsPGzNxJdh1+Jk4c59WPvUjV\nG6YUSrLeEHhrPUNAlri0us1M2MO97TQj0SCjyQj//l/9zr7j9yzjMMh3k6jewh8eQtM0WmqbxbUt\nKoaVYKB5bSwtr6DaHAyNjFKv1ymmU+iuMHZZRqwW2FEl7E5721f1cb5M3K84gxmx3a+cbjexLZfL\n70tsW7K//twAwzCoVCq43fs7fzzH/nhOVh8TPojX6uNEd2LR48Rn/vsvsV5usL2yxO3vfnPfdjwK\nPogZ/0G14YPiaSfKb/6Xb+NR7IxPjrO2uo7kDyEAUVnk0k6FIxPDhLrI4Uo6j+EPMTnUfAg5X6sf\n2wAAIABJREFU+pbebYJBvtrgnbyAIxYnFovi7COM/ZWudF3HZgxG8GQTblgSrDhNsukdJttW63U8\n4iB5MwyDRq3XHzTud3N+MoaUGOH1tE69r/JUTdWx6eY2V9vlBkORIJIkcW72CFcrOrU9035V09Hv\n84z2J4Zp+MIDhLCF5ZqFsMfFRMTLmiBT6/NO3a1pbR3qmZEwlwuD+0lVGiTDXo7GA9zMVAe+BzgW\ncfNaqsHxkUjP5yeGwlzJDe5z3G3l7WKdqVgn8WY84OZqqndcZwJObu8W23+P+hTuFDVSlTpXygbj\nx2Yo22TmjowS9LrxeZT2vepXHIS9Xj594QyGN0TGHWa72qCm6ai1OjPxICOxKLfffv1DF1k9jL7o\nur4XUU0iCAIrd2+QjEZY3dxBU5KEfc0Ia61eZzOVZW7uDAA/feMNvIlhItEIt65doWF1MTo2Rt2w\n4PF672vx9KTxoMR2v6pj3cS25fjTIrV/9s/+WV5++WV++Zd/mVQqxZe//GV+4zd+g69//et873vf\n4/r169Rq5nPI++GP/uiPOHr0KEeOHOHv/b2/Z7rNX/krf4Xp6Wnm5ua4ePHiBxmmQ8VzsvqY8LSS\n1ScVUfQHg3zi838OVYBb77zJ8nuvD7TjQdtwkGb8j9qGg8bTfOx/+U9/m4mRBAYQC/rZKTc4NjHC\nwuoGGRWOTE0yv7xOfE/neHe3xPEjkyTDTf3kwsY2MWeHOG6kc2xlcixb3Jw9PkHI50bqm3m2snkC\nfSz02vouY30JU5u5IiGLSdUqk4Sre+kCcXnwnruerjJkkoi1mKlwIjqoLzUMA7fTysfOH+GqobDa\n9VxZaQgcN/kNwI5uI+JrJmSJosj52WnuqBbKDZW7uTLHE/ub9tQRODse5c1MfeBc6bqBaOv09/xY\nmKv13v5vCQ5iflf776lkkHulXuK/oNpJBn0oDpmazUnVhBi77DYqsoLLRCoQ9srslHv3easu4w2F\nB9ocD7jJlTsD55KtVKRO5NgwDAqqwYbNy6nZGSIBH4rcKQxwNBbgrbtND9XRsI9LiysAjIQD2GxW\nfuHjL/P6VhnB0FlNZalXq5ydPcI//ofmD/BnEYdB7AzD4A++9V18oWT72F67wGYqQ9kWIZveJhEJ\noWkaV+dXGdqzqKpUKviCYYb3dKnbO2mOHD1KqVTBG4r2HONpIKsPg/cjtoIg4HA42sT2K1/5Cr/5\nm7/JF7/4RcLhMF6vl3v37vHNb36TX//1X+fzn/88t2/ffuh26LrOr/3ar/Gd73yHa9eu8fWvf52b\nN3vzRL797W9z9+5d7ty5w9e+9jV+9Vd/9aCG4YnjOVl9QmjpVp8GPCnifOojH0P3RtANje23/oSt\nhVsP3Ib+YgkHZcbfjaeZMB7WsXVdZ/7aRTweL5/71Ef50dV5fuXTLwOwsb2DLxrH4ZRR9vxR53dy\nzBfrbaN3gGK13iY3hVqD93YqvPTiGWbHm2UX63UVZ1+VqZVsjWifXVRDsGDt82FdKxuElF7iVKrW\ncTMYgc0YMh4TXarkcJleMwXRic06GJ1dztU4NdTs34tHhnAn41ysyVRUnfw+q+vQtI3qx5mj4ywJ\nNvIG+yZhbJUbjPmbY/GJ09O8kem9T+5W4PxosOez40lfW79aUzUsfd0OexR2NJHyXgQ2W9cIezvL\n/2dGglwvD/b9VhF+6cIM10yiqJMhL0uNzoHuVWB6IslLx8a4sdsbSR0LuFko9bkFeG3c2i1RqGm8\nVRT59MdepGHv8oNNhrmyugOAxSJi34vEC4KA19EkshGvwka6gCAIjA3FCc0c5+rqDieHI8SDXnJb\na48ctXra8KTJqq7r/PTSIqFIvH2t7mxtoNYrZHUPgVAUt1VFkiSu3llGkOzEY2FUVeWN965xZHIM\ngDffu8QnXn2l6SIwv0gwFDqU/jwJ9EeLBUEgkUhw7tw5xsfHmZub48tf/jJf+cpX+MY3vsFrr73G\njRs3OHny5EMf680332R6eprR0VGsVitf+MIX+OY3e1cxv/nNb/LFL34RgAsXLpDL5dja2vrgHT0E\nPCerjwlmhQGehsgqPNko7+e/9FdJVTUylTrqxT9he23ZtA26rlOv1ymVSm0/2lYlr1aZ2VYW6H4P\n+YfFcxlAE63IdaVS4e//nb/Fx8+fxu2U2S2UUJxNfejSZoqhoSEiQR/1eh23qLGcKWL4Y8R8XiyW\nzjmx7137a8U6i5qDRDLRo828srzBRKhXt2X2HidoJkUbjMGH27WdMknXoL5zP12qY5/Lp66av0zm\nDBl7l/1V0KNw/tgw8xYX+aq5YDRXVQnbzR/EM6NJSnZl399uqRaCe8lMoihyYiLC9VKHtBdE+8A9\n4HY6kD0OdmoGd8owmwwN7Pcj0wmuVZr9WFSdTMV7NbhRr8xWpfeeLFma1kKSTaJk4gM75rOyUmhQ\namgUZBchb7N+fbbaGLi+fU4bmWIn2col28ghsWR188KJaURRJKDYKe3pW0VRbDtGAMxEfFxZaT5o\np2JB3r3TnEsSfjfpfIGJaICt3Syf+eSrvL64Qa1c5RdeOsM//3++YjrOzxqe5HyhaRpvXl6iihuv\nr7NysHjnGqozRjg+RDabxu92cOPuMtGpc/iV5jV6bX6ZoWQCu93O+uYOPo8Xm83KjYUVjp8629Of\nDyNZ7c9ZaeGgbavW1tYYHh5u/z00NMTa2tp9t0kmkwPbPCt4TlYfE55WGQA82bbY7XZe+fx/R6pU\n5c52ms0f/iGVPV9TwzB6zPir1epjN+PvxtNEGJ/0sc3KyBYLBYIOiWy5xsxIgkurGcbDHlRV4/LS\nJqdnJgC4fncZm9VKzuphOBHDondITK5Qwi2qXN4pofnCHBkfwtrnBarpg/eHx9b7d7ZYJmIXKNUa\nLObr3CzCpZLESrHGuzWFd2tO3qk5eKfqYEmX+UlB4N2qzMWanctVmasVKzvZAluFXi3mra0sQ87B\nB0m+2iAkmWf79+tUW3C4XBw/McPbmcFzuaFaGd7Hsmo9V+IzL53jdkmjVBskrKU+uymfouD1u1iu\nCBTqGn7zfCimIn6WDRv5+9zaUxE713MqdhPGPhx0s1jt9OVqVuPcVFODfHwoxK3S4P4iHoWVqs6N\nmsypiU6N9xem4tzM9PZtPOjmZhfpXi1UkcMRrF2+tmMhNzdTnQNNh31cvrcJgF22ou4lwFksIq1L\nKOF3c3c9hcViwS5ZUJx2PJEEmUoDuwWCdgsry8v7D8ozhCdB7lRV5a2rK9gDEzQKG3i9zeSpbDaN\nLzJCNDEGQDG1Qr5UwZ04TmprlYjfw/ziKrJ/hLDXQTqTY2mnyHAkwOrWDrrsZSjZKTX6YSSrz22r\nHh+ek9XHhOdktYPZuXNUHF62dvPotSqvfeOfkck0jcENw2ib8T+K7vSD4LAJ48NUkvqg6K7UVa/X\nqVar1Ov1nsj11/7v3yQRCeFUFJZSeRSHnVjAyztLW0yNdd7Ot1Np1jUb0xOjLK1vkfB2lu/fu7vO\n9XSdqePHiIWDXF9YYSraG8Fz9AlWL9/bZMLXJCzVhsrNrMp3FvPcw8WaI8TwiRNMHT+CIVv57Cun\nOXMkyZkjQ5w9MszZmWEmhxO8fHKaMzMjnD4yzMmZEapWG6++cg7L8Dhvle28XXJwtWjlXkkwTcRa\nrVoYDw+Sy0K1QcBufq9UBAfxoJe54yP8JC9R6tJ8Vu9zWrfqTcJ2/vRx3smqPUlUS3mVk8lBG6yR\nsJeq3cXFnMFUZPD7FsJ+D4Ynsu/3IY/ChmBnah+d7fmRADeK0NA06jZbz4M3oMhsFwcTsXxuB6Kr\nV8IhSRK5+qBd37DfyW6xwkpRJecMcGJylGqfM4DH4Wg7iMg2CVXqsPPJoIv5zV0ATgxFuLSw2uyX\ny0m1Wmc05OXG3SUmk2GGZ45yY32XE2MJfv9f/rN9x+RZwZMgd/V6g7euruIITDSLMjibke1cLsOl\nq3cYHZ9ub5vaXkd3j+BwKljVPLvZAlJoHK20hc1qZSOnEnTbUDWdPAqJWG+0X9f1Dx1ZfT/bqoOs\nXpVMJlnueglbXV0lmUwObLOysnLfbZ4VPCerTwg/S16r0GvGXywW+ex/80Vubu1yaytNgAqrV95G\nFMV2RuVhTFqHLQN4nOhe2m85JlQqFQRBwGq1YrfbexwTFhcWcMsiuqzgFEHyhVEEjXs7OeRgFL+9\nSbAyxQqOQJTjRyYByBaq+JQmmUiXauQEOx//6Pn2sn+uUMbaJQFYT2UY9vQuz6fKKvNFeCsncUt3\nM3HiGKPTM1w4OcXEUCcZo6xakPsSqdZTGUYCg8UAdEtTyxz0ujl/bIRzx4eZnR3HNTbJ97Y1LuYt\nZCqdiHBFN58K16oCE/uQw7rajMRKksRHT4xxU3OxXtYp1dWBIgHtduk6oqVz7l89N8t7ZWtbgpDC\njlsxD50eG/KTtcj7yhUAdnUHR8bC3E2bZ/cbhoEnGORq1nwestkkDEninbTOi0d7H6xjUR9LtV6i\nr2k6JYefKoO+wS9MRLiR7tWLDnlsXMzpFFwBZsaHAEj6XCxs7ba3mQx7uLiWbf99JKxwYy0FgMcp\nU9aa16JdtlLfG4rxiI+LC6vYZRuGruNVnOTzBT7x8VfZzReJuh2889abpn1+VvC4yWq1WuONS0s4\ng80VlI3lG4TCEQqFHCs7NYaT8fZ9fe3qu4RHT+L1BaiUilRLOcqiH6fTjSJp3F1L4/SFcUkGK5kq\nsk1mdGRooD8HJel6WnA/An7QkdUXXniB+fl5lpaWqNfrfOMb3+Bzn/tczzaf+9zn+N3f/V0A3njj\nDXw+H9Fo1Gx3Tz0+XFfKU4SfRa/V/cz4rVYr0Xicz37hfyCdL7NTbpBbuEZq+e6hjsdhn4+DPr5Z\nUpqu69jtdnw+XztybSar+Lf/37/GIcs4nQp1ScYqWfHZJXY1G8VsnqjfS7Xe4LXra1w4MdX+nag3\n2cJmvso91cHYUO9E6Hb2alNX00UCe/6hu+UaP14tonrDTJ88xunZcY5NNh9oTttgGxXnICm9t1sh\n6B4kd6LJA0NVVcIuG6++MMuJk9Nk/HHeKtm5njPQqsWB7QHKxj5JULkyI75e4nxuOkHFHeS7qxVm\nEkHT393NNjg3mej57OXZUX6Ss6HpOo1GxfR3AJuFKh85Nc3FjPm9W2uoSFaI+t3sCk5Tb9Vb6Tpn\nphNEAm42i+aa2aNxLzuYS2/GQy6Wcp02Xs0bnDk6ytnpEe702VOJokhR1Xvmmt1yHd3lI+zrOBX4\n3U62qp1xFgQBp9PR/p3LbqMqdM5x0mNjeae5MnM05uX22jaCIODZS7oaDfuYX15jIhagUCwjeqNI\ngsEP//jbpn16VvA4yWqpXOH3v/0mrvBk+zOnpFKv11jeLGN1BvF6m84WmfQOokUmlmzqL29eegPJ\nHScUS7J29wrFSoPhI2co7SyTKtYYnjyO2zkYkPgwygDuR8DT6TSh0KCW/FFhsVj46le/ys///M8z\nOzvLF77wBY4dO8bXvvY1fvu3fxuAX/qlX2J8fJypqSm+9KUv8Vu/9VsHdvwnjedk9THiaZUCHFQ7\nHtaM/8WXX8EeHWItlSVfrlK49TapjdUD6NGj4TBLnsIHPw/dS/vd499a2vd6vSiKgq1vObefJF++\nfIlSscjs6dMsLi5y8tRpttaWWMzWOTJzBJddxjAM3l7JMzQ81Ca75UoVv81gKVtlR/KBARORzvJy\noVgiqvROMRZRYrNQ4+20TlqJcmLuJOPxXmK3nsoQc/WSJV3XUUwsq2TnoMF2tlAm6Rskthfv7TDe\n1b6RaJAzx8ewxZIYgRhvblRQu/SphmGg1czJ43rVSiwwWCRgMhFADsf50YqJwJNmspbZw+zVk0P8\n3nyJc2P7Rz3Wyzohv4fJ0RhXtsoD39/Ow+nJpibw/JE476QGyWhOtCNJEsmIn7sl86SdWzmdk0en\n2S4OZtGHvArLxeYKUa6qIvt8iKKIzWYjXVMH9nduPML1dLMddVXjWhE+fu4483161omIj9VUrv33\ndMjNxZVOtHXMZ2Nxq/l90GVnt9Y8jsdpp6Q1o33HEkHeurWEx2lnN1sg4FbI5QvMjMZxhJJ47BJv\nvPETk5F9NvC4yF0uX+TH10qEIvH2vV2rVtHVGksbBYJDx1Hzq/j8QQq5DHeWM0RjzeusUi7i9AWJ\nDjdfYNeW7xIeO42qqqyuLDIyc5ZsJsXo8ODS84eVrJr1qfX5QUeSf/EXf5Fbt25x584d/sbf+BsA\nfOlLX+Iv/+W/3N7mq1/9KvPz81y6dImzZ8/ut6unHs/J6mPE00pWH5Wk3c+M3+l0PpAZ/xf/5/8V\nXbIiyjJXF1bQFi5SKhQOolsPjcMseQoPH1ntllZ0+80CDzz+Zsf9D//+3+Hz+bDJDo4cmUaSJBZW\ntjhz/hz5fJGQbPD6nU2OnTqJ3GURde3uKjUsVF0hxkcS5IolHF1+nDfubZP0d8qnrmbKzO9WqIdG\nOD57lGQswrW7K4z0aUXX0xUCfdHS9+bXGQu56IfTpCLp1dU0Mb8y8HlFl0wfFkVN5OzsBGcuzPFW\n2cm7uzqapjO/W2ZuOGAyglBV97f+8rodnDg5xfdXygOuC5pqbqMkiiKjR2b46eb+NkvlPXcEr1vB\n4g+y3WcFVTR6B2NyOMpivrPNTqlBPNgZw7NTca6ne6OvhmGQ12A4FuTWrjlRvzCd5MpWiStZnanh\nDrk+M5ng2mZveWVRFMmksywuLPNO2uAjZ08AEPS42ln/AGGvg/Vq5wVFkizY7J1rwK/IZLTO941K\nicvrWW7uVtktFHh7JcPCVhZhb7yPDkVY3tgm4XNh6DqxaIhocphLr//QtE8/q9hN53jjdoOq4cbp\n6tyH81d+TFl3EBxuni+PYqVUzLOyVcLtlPD6QzTqdS699y7jU8cBuHvrKkfnXkKWZS6982OOn3sF\nTdMoZHZMK7V9GMnqfglWxWIRp9P5oevvk8RzsvoE8TSRVXh/K5T9yJGZGf+D6k4tFgsf+1OfZ3M3\ny9RoguW1NXYu/sC0JOvjxrMgA+i29OqWVvT7zT6M7rf7uD/58Y+x25185pOvcm95ldmjM1y8fouP\nvvQSoiiyvLZGtlwnOX2UtfUNhgIdEri4uYs9NkIy1kzo8Th7Caa8RzbKtQavzWe4XhD4hU+8QCjQ\neSharPaBdkvWQcspXRossXp3bZdh76CPqlUx15g6TWQEAJVqhyCenx1j9vQMPy07uJExkKTB5fCG\nquIQzZfQ53cqnD2SRHE6ePHcUX6wqbbv+XvZOqdGzcmvYRhoaExPj5hGTZcyZWbHOtn2R4bD3KpY\naexFgreLNZLB3vGP+D2kVJHKnhxguW4jGe6Mjc1mo24RKVa7XkB2Nc7NNqNkM6OJgaX95u8kNmsC\n4+O90TJJksjWe+e4jdUNpovbGDspRpOdxK+xqJfrG73Si4TfwXa289lE0MWV5Y4npKSr/GilxA83\nGwzNvcSO5CUxO8eFT3yKmidG8OSLVN0RvnV1lUy5zlamQNTvYjuVIeZ1MTo+QaPe4A//YLCi3rOA\ngyZ3G9sZ3loQkVxJ6rlFvIHmi0ellEe0ewgNn2pud+8aLreHxdU0geRxPIoVXde5e2eeZHIYm00m\nn91F1zTC4Tj57C6hcBSfL8Ctm1c5O2fuIfphI6v3q8i1urraYyH1HA+P52T1McIssvo0FAZoLUeY\nEed+3WOhUDhwM/4Tc2fZbQjcXtlGF0RceoW3vvMHH7RbD40nnZG/3/G70b20n8/nyWaz1Gq1faUV\nHxQ/+OGPGBsdoVhtEA36qdRqpIsasVizutL21g74Y/h8Xoq5PF6lSfjeW9jm6Ows4b2l8Hq9jk/u\n7YtdMLi2VeZSwcrZl1/EoXjbxu4tiMbg/WBWItVmQhrTNcG0spJDGrwus4UyUfdgdKdaayD3JUOJ\nosgLs2N4hsf443sVNnO9yUrzaZWTo+bVp3JaR3IhSRIfOTPND7YNag2NtG7r8WvtxmK6wumJGAGf\nCzkYZKWv2sBaVcbt6o0WvzQ7xE9Tzb4uFWEoPChLODczxOWsSK2hIloHr5dTk0NcynTGNtMVffZ7\nXayXzV9qJV+QjfLgOF84muTKXnR47d4y0uI8XqtI3GmjdPt6z7Yet9LzkprwK9wrdOYkh2ylgoNU\nocIPl3I4xo6AP8bc3CncLoVQIER1Lzob9roolMvMnTqBIxBBmTrNRtng5soWAcWGQ7ZQzOeYPnac\n9976qWldd1VV2+Uyn4bcgn4cJLlb2djl4rINq6tJUD17Fd0qxSzXr10jPnq8va1Fy7KysUt45DRb\ny1cIRZPcvX0T0TOKz++jUipw5+4qiUSSSqXE1es3GB4ZY21liXAkhsMx6IH8NJVaPSi0rhmzPi0v\nLx+ox+rPIp6T1ceIZ6EwwPuZ8bd0jwdpxg/w1/7m32Jhc5edfIV3l7YYttV5+8c/OLD9PwieVOnZ\n+x3/fkv7DocDv9//QEv7j3Lc//SH30JxuxlLxrg+v8z02CgXb68xtGcxs5vN4fT6GUo2E4KsRpNY\nXFtNk8HGSLQTJbx+517Pcv7CZoq7mTLRmWPMHm/a3Vj7EruKpTJ+Ry+BvLexQ9LTGy2tVusE5EFS\nazGJwK6msiS9g8T25laJRGBQRnBrPcvJqcGIR7FSI+y18rGXT7OrhPnpRidCWtSt+94LdbU34iqK\nIh89O82bOZFsIWf6G4B03Yp9j3iPJSPsCjZ290qZGoaBJpjPG0fGQlxLa1SN/eeV8YSPb93a4dSk\nuWXNWNzDUk7lTrrByalYz3cvHkvy7mrv0v6tnRonj09R06HeGCT6Jc1g8eY89uUl3F0vGYHMFttd\nNjpTcT/v3Nvt+X3I66RQrrb7XVYN3s5aOH3hAtFwCJ/bQWnv+/FEkGsLGwDEwz6W15uOAVMjCdY3\nNvj4pz7J7bzASqbC9TuLRD0KI8kEbn+I3/+93xuo695oNKjValQqFUqlEsVikVKpRLlc7iG1jUbj\nUIjtQZG7q7c3efNWDZur+cKV3pjH449SLmRYXk/jC/hxKM1kqlw2xfZOltDIOQB8CqwuL+CMnUWs\nbGB3KNxb3sDndqK4vSzcW2VkKE6xkCdbtnB0IrFvO+DZK7V6P9wvueqgbat+FvGcrD5GPI2a1dak\nrOt6m6Dez4z/cU0moijymT/zK1xbXEIQRBbSRdhdYXvjyVbXOAyy2kpM67aW+qBL+w+DVp8vXb2K\nx+UlU6gSDUVY28mg2xSSIReapvGTS/OcP9tcCszlC8S8Dm6uZ5Gio1glCWdXxMQqddp6ZSXDlW2d\nT3z8JWx7kURd13Hbeq/9m0vbDIc9PZ/tljQ8Sm8k5vLSDiPBQQ2qSxq8l1Zyurk7gDxIVAFKmmz6\n+Uq61rbNmhiOcWJuhh/uiKzkG6iquS3Udr7CWNhcajAUD1F1hqmYVIECqOu9ZPz41DBX8xYqDZU7\nu3XOTZknXgU8LrY0kcmhmOn3ACGfm7orTrVuXvQgFnRzrwTrDStKn5RDkiTqkp1avdluwzDYqFtQ\nFAdnjo1ydXNQJhCu7uDbXkex9r40OK0Wqtcvt1eXBEHA7rD3zIljIRfXd6oUq3W+v1Jl9iMfwe7v\n9H0kFuLOymb794rD0b5/XXYbqqridbvIFZovDaNDMUZOv8hWBaw2id3UNqdnZ8lk84ii2FPX3eFw\n4HQ6URSl/c/hcCDLcg+p1TRtgNi2SG1/tLbRaPSQ2kedaw5qjnrj0jo/uryLJzLR/swuFtDVOiub\nOZTwMRyO5jWsNuqs3LnE8Rf/FADZ3Q0KuSw4J/aeFzYW5u/gjZ/E67azuDCPYPPhUhQ2d8vEI+6B\n1YDu/nyYiCq8v8fq84IAHwzPyeoTxGGQVTO/zXK5jCAISJJ0KGb8LXz0lY/hDMS4ubxJplQBtcHt\nt39MIbd/BOqg8aQ8Z/vPQSsxzWq1HvjS/vtBEAT+xe/+K3yBMJKg4wwO45YFUhURWRRQnE4uzW8Q\ni8fa18PduwtkKyoEE4RCQeS+y8RhMag1Gnz32jqusaNEY73k6tqtJcb6jOgFyUSvajHJmLIOJiZc\nXthg1D+4vChaBz8DcNjMx9UwkSEApEuDEdIX56ZZF1wUNMmUPKyWRKKhwaV4gK2yxMdfOsVPNg1q\nfdHItWyFI8nB3710epyfbBrsNOQ26TeDzRPhRmb/CN9yqsiF88d4d82crAKMJgLUJXPifv7oMO9u\nNKP913ZqzM2Odb60iJSrnQjwjTd+SmxrGYfV5DwCzmqZW+9dbP89OxrhjdvrPdtIVgvv5izMvXCm\n6VwQ9rLe5cNql23te3Z6KMjl20sATAxFuHp7EYBk2MP2Toqx4SQ3btzm1U//HN+/sgyqzlAsQGJo\niH/wf/3GvuPRWnURRRGLxdJDau12+wCxbZHa/mitqqoDpLab2D5stPZR52dN0/gvP13lXmWCcNDd\nnmdUVaVWLrKyVcAdOUZ69T0C0THURp2l+evtalUAq3feweqbRvEESK1cpFwq4x95kdz6ZTRVxRqc\nwSHk2NjexRNMMhobdOpo4cNIVt+vetXzyOoHw3Oy+hjR77XamsAeNznqNuM389v0er3IsrxvDeMn\nBUEQ+Av/06+SLlUoV1U2ilVq+Qwbd65Qr5snsDyONjyOyOr9PE9bLwgt3e+TPgeCILBwbwWbTcGq\nBNjd3iRf1Zg6NosiqcyvbONNTuLsWo1fWksjhEcJRyJUq1X8rg4pXNvcRqtX+MlqldMffRW3243y\n/7P3nsGRpPmZ36+8tyiYQhWAgm+gYdp3j1nD5Rqa5fJ4EkMKfdk4kh94IiUdI063DInkaaUjubqg\nRFJ7S/LojhR1JI9LbiyXuzPDMTu2x3U3uuE9qlDee2/1IQEUClXo6TFtdthPREd0ViYy38x8M/N5\nn/f/f/4n8p7qiNv8XZUdYktlteZ9z+SLbAYzRFNZFgIlrjuzvOOr8ZavzkZCxA1fiVuFmKTlAAAg\nAElEQVS+HIu+DNvBDMFEBm17vhXucAKbvp08xbNF7OYOfwDU66ck/CkMXHzyEt/bSJEptm5Tuks4\neqEmPPPXLk3yuq9GrdZ8BwSLMgz6zsrvk+eHCWbbE64OUa3WQFrnwvw4b22HO27jStboMhvo6jHg\nS3ZWhT05KRqTmVyh83On02uI50rEarIW4jwzZmctLOzTtbpKKR5FesoHO1Ot4W1I6K1kjmJNxWIx\nKl3Te9IXz1Ix9lKVNhVqi0mHP9VMghsfsnJ7fRcQlF+pTCDZIpEIqUQ4dp/FRDAqhC/oFMLgon9w\nEMxD3F5cpUurpiGWUqmcTuDvFcdJrVQqPVWt1Wq1bcT2/ai1QAuxvVe1Np8v8sxbEeKiMxQycRTa\n5vXeXX6ZqrwXfc8ZAEx6BfVaFdf2KqWGFr1FCJHJxAN02ycwdAnT+rHgPhLjBGKxmGI2So4uKoUc\n8WgY68gllGQxGfXtjTnAP7XqVaFQCLvd3nHdY9wbHpPV+4yTZPV+xK0eN+NPJpMtZvwGgwGj0djm\nt/kohCQcErWf+K/+G8LpLJFEGoVGT2DfiXP19gNrw0dBVjt5zlYqFWQy2VE508N7cNgnHla87P/5\nf/0HhkbGiMWizF+6RigUwD5+Fo/LiVouJouGgHefsSEhxnHHHWJsdo6eXiHGbWvLyWBvM6t8zRmm\n1j3C7PnzwvrtHWwn7KgUJ0qsxhIpejXNZ6NQKvPqsgd/TsQ/bsZ52V9jR2RBPnSGkfl5HHNzTF25\nyPi5aSbPTWEZnuTstYuMXLjI4IXLWOYvs4UZb1XGq946r+1mWPXnKJQquJMijNp2xdUdr7XE3R4i\nEMswbu+ctV+o1pFKpXzy01dYSCvYP/AQLZWrqKSd2WqmUMRwzG/2ictTfH+/fPT85cun21XtBLNM\nn59lM9TZRmo9kGV2YhipVIq2z04w0bpdtVpDfOCCMNDfzUas3Qs1Uyij1KuYnhhiKdCZzE46rLy4\nk+Ti7GjbOrlcxtbiIo5GnrP9Zryl9vdKrlrDJ1FwydFDr0pKbG/naN2UXcfNvQieWBYvRsZGR5HK\nZS3vJ4tBR+aAtIvFYqTKphLt6DWysy+ED00O2VjZFPZt1irJ5XJMjg2xvr7NmckxUukU5qFp1Eop\no6Mj/Ppv/lbH871fOEls71WtPV5UplarUS6XT1VrD0spVyoVguEYz97MU1SMCzM5lcDR4CCX8KLR\ndmHonQQgFfWh0plxba+g6b+GUV1DJlOQS0fY3tqg2zYBgGd3ib7hS2g0BjbvvIpc34+xux/n6nX6\nxq6QzyboMXZW1g/xca1e1emcDgWqTvZdj3Hv+Hj1lkcQ9yNu9W5m/MfjTu82rfwokNXDdszNz1MR\ny9Ho9KRKFdyBEDpK7K0vP5Djf1DP2dOm9jUaTcs96FQxCh4OWa1Wq7j23YxMzDF3/iLxaIxe6wAa\njZZYwIMzWmFgeBRqNaRSKaFoihVXnJEh69E+pOKmInR9NYDYZMdubyZS5PP1lqz/crncFq+6F0wh\nl4m57c7xirPEQkpJyTTExU8+waWnnmBubprBARt77gB9J6bW6/U6OmW7glGqy7l8aY7Z81PMXLuE\ndf4CdwoadtM1rm+nSGRbiVz+FK/UQAYsJkPb77VajUatqXKenx0lpbVw01tiK1pmZtTa9jcAu6EK\nE45WVeXa5TO85CwSTOZx3GW6NJRr0NfTRUqsIpZpJ7XRAkfP+OhQH4uhfEt/Xg2WmJ9yHC1fnhth\nwd1qGbUZqzE+LChohi49wUR7Na9Go4FIZyScbCfNmoyfMVEJiViMQiYjQWu/LlRr7IvkzPc3BwDa\ndIRsRjiOXCalgAKfyMD4+DAAEyMD3FzaONp+wGpm3R09Wh6zG1jbFQqKaNVK8mWhPygUMhpigZw7\n+i1sOf1IJBLEjSoSiQSVUs7kmSk2/Rkk1DGZu/B4WsMQHgWcJLUSieSoPLVSqbyrWnvoH72+G+Z7\nb0aoq5rTz0qV8FwmQ7vsOKPouoebxyz5Cfn2UVuvkUlF0OjNFDJx/MEMg4N2RCIRuXSYeqWIpW+Q\nSqmASqnE6pglHnYzcuY8crmSgGsVm7Wn7ZyO4+MYBnDaOVUqlfua//FPBY/J6gPGByFHdyNGJ83g\n7zXu9FEhq4ek51//m6/wzp0l6nW4cukCKztuVJUMK3fur8L6fgjjvZYzvdd78DAqaP0fv/m7nL/8\nJKFggLHxCTa2d5iZE5KoXP4QsxcvA2DQqUlm8mwFS/T0WltUAa1MUBJfXg7gmL1Al+GEv+oJm6nV\nLReOPoGoNBoNVvcT7MUKuERd2OfPcfbCDBOTox1LpIrE7XGUKxtOHLZ25fNwOvg4JseHGZ2aZOra\nJZyYeHE7xx1PnlK5AqckShUqne/J+n6EcwfOBodwDPTRPznGHX/2VFu6dKX9vMRiMdeuTPMPKxH6\nLKd7r1YOwhGmxge5Haq2HCNbLGMwtiawPHl1jrdczepZyVqrc4FUKqWhUpPKl4+Oka012zdk62W9\ng8/r7b0oT3/qaZbdiZbfPYsLDBeiR9PvAOfs3exVheVStcYucs7bW6uUdSllpFyCAprMlSirTFQa\nx4sCSJFqWktT6nXao+dFrVRQajQHRP1dGgJhgcwO9+lxegSXAN1BCdZxh42t7R3GRgZZX1tleGSM\nVAGs1j7+5C/+uu18HzXcjdx1CkN4eynCC4tyFMYmGY37V9F2DRHzrRHJmzHpxKi0Qt+r1Wq4XXuo\n+q4BICm6kcoUeP0RaiIZWpONQibOzo4Hi9VBvV5nbfE6vUNnKOazhH27WPqGcG0v8/SV6Y7tvNfz\n+UHFaefk8/no77+7K8JjvDcek9X7jA/itdrJziiXy30oM/5O7XqYHqOHOE6a/8XP/UvevHWbtR03\nZpOBRDpHIeYnFou9x14+OO5GGN+rnGmn8Ir3gwddQcvvD5HMFui3D2Oz29nZ2cNkEqbz3715hx/+\nkR8DwO3co0cvZ8mZZHJmHo2ySSK8Xh9GFbyyGuTspavsu1zY+prKp5D139q/C8U6hWKJBVeSV3Zz\nmM+cxzo4wsBAq9qoknW4FrV2NbFUl3ecUlPL25+DXaeXgV5BuXQMDXDh2jkGz83z7G6ODEoSJ0qK\n1ut1JKLOJDZR7HyftVoVXUPDPLeWoFBqjYEUpgY7x7+KxWJ6Rs7y+may4/qtQIZL85NHy5cvTPLy\nelNd3PDnmBprvYZisRhzrwlvokQkXcTa2x43OD0+wO2A0M7F/RjnZsda1k9MONjwxI+WG40GkZoa\nsVjM+KQDZ0ioOOddvo0jH24hqgAymYSCREq5WmMDBRcHWonqIYz5BD6fn4VgjbNz05RoDdUYG+xi\nbct1bLmHm2u7R8sDPRrcAaFoQLdJjz8qtEuvVZEqCH1wfKCbpY1d1ColpWIFpVKBSFTHMTSIoauX\nck1Cb28PN289mLCjD4p7fU/k8kW+9XKAtfg4amkaxTHCb1BViPs3SdUcKDVmVBohTrpaLbN161nG\nLv300ftYKqrh9frR9c2hl2Vo0MDnD2HUydAauvHsLmLp7kWuUOHcXsU24MDnWsds7sWk17QljZ38\n1nzcyOrdfGMfJ1d9NHhMVu8z7tVr9UGY8Z9s16Ogrh4ni7Nzsyh0Jvb9QQKJDN5ogh6jlnfeeI1C\noXPM3ofFccJ4cpBw6JwAncuZflg86DCA//sbf8zc+SvsOffp7jLiDWXpt/YQi6fI5stoDz5e6XSG\ndW+OM3MXiURC9ByrjLS17WErVufc1ScAKJWqqJRNkrG8usnYYHMKMJMr4g4muBWRYjt7gen5OWKx\nGDZrq5q4sbXDyGCr/VIqk6Wngzdqo9ZO/jZ2Pdh62olZLNdos2MCMPYOcf6pq2xXDby4FiV+MMW+\n5U9zbrxzIkTtFC9TfyTF2Fg/1z55jRe3s0eqJcBWIMvF6c4fqnS2SJ9VT/fwELd22gdk0bykhZSL\nxWLGz06y5BGU09QpCvCg3cpmos5WrIHNaum4zchQN2u+NNGqrq0vG/U6PJna0XO54s0wf06IV+wy\nm3BGy+ws3GAwG0LWoVgDwLk+Ay+lq1w5pVwtgC9XYXvXw8yBPdqgzcKuq+nDqlYpyVSb+xeJRIjE\nzYS4LoOWQKI5sDDpNDjdPtyBGIV8jvU9L/l8EfnBAGPE3s3+vofhQSv7rn10ajmjUxcRicR874UH\n6/H8QfBe731fMMk3Xy0QrY0jFotRa5qqeyGfZd+5TVE5h0KtIxu8jc4yTKVcJLC3RE//KOKDfhDc\nfYtCWYyu7xz5TAKFSovPvYfKPIXBoCfs3aAg6sNk6cPnXEWlUiMVS8g3zEzYFW1JY8VisS229nhC\n2cPyrf0ocUhUTysI8Jisfng8Jqv3GafFrHYy4z+u2t0vM/5ObXmYOKku/m//9tfY2vfgCwr1pBf3\nQlj1SlZWV+7bS6xWqx2VMz0+SDh0TrhfnqcPkqyurm2BVI1YImVwcIjV9T2USiU6rY5NZ4g+a3Oa\nyu0LMTknmIAnolHMB1m9wUgKmb6P6fnzzXNotGaPl4vVo9mDGxth3nbmmXviKSamJo622d/3YTa1\nEst0utxW3Wptc/+oQMEh6vU6JkN7slQsXW3xfT2E5BQ7puKBb+jw8ADzTz3BdtXAy5s5XJFiR9U2\nkSlg62knvQDuUBaDTjifJz9xmXf8NcJpgfxGC+JTn9/dUBHHoI2ebjN0WdkLZo7WNRoNKo32THWz\nSU9ZrWfdm6S/r7NiCXD1wjjb0fSp6y1dRnYTdewDnUvTXrs0zY0DAh0sSFocAPoVObKR4KlZ/wC3\nM1WGhgZO7d/efAVjdxfXBvSko4I6qtdpiGVb30cjA704vYGj5enxIRZWm8lZfV163l3e5c2tJM6M\nlFsBMRL7RRwXPouv0sVmRsd+Al58a4VoLEk6W0av05LNJBkdHSHoc6E29iMVS3jmuRdOPZ+HjfdS\nIr/74m3+4ZaSklQYaGWj68j1QsWkSimHb/MVrGd/+qhvd5kU1CpFAs5VCvQi1/cfbFugUaugtwnh\nQLX0Jsl4DG3fJfLRRURApmFFI46RT8cQG6aRiUpEUhV6DA0GbT1tSWOdYmuhGWvdyQnhsCBDJ9/a\n09Tah4n3sq167LH64fGYrN5nHL5gjldIqdVqHc34P+pKRe+FR4WsnmzDL/z3v4A3lMQZiCIW1clV\nGhSTcdbW1k7Zy73j5NT+YdzpYTnTBzFI6NSm+42/+OYz9PbZkWl6iYX2GZq8ik4tYmljH62xB/tB\ndv+NhVXOX37i6O8UCuHj5g3G8cZFmIzNZKBqtYpZ30oQVQo5G/txXllLYz1zgUq1gfUE4UTcTipV\nqnZVVCxtV1XvrO0wOtBe6vS0fqzoUDig0WhQr+ZafhsZGWDm2jlCdSVvrMfa9ucMlxiydTbmL9Za\n+8nFy7Ns5pXsRwtUO6jAh0iXmvd92GHDU1YQOSjtuuVNMD893PHvJkdtvL2fw36Kagqw7Q4zNjOL\nN5w4dRupoZf9aOeQJLFYTEOl4s5ejIljCVqxvQ3ONGJcmxxiL9vZ5upOvMzccD/nR6zs5tr3Hy1W\nKSnU2C1G9Eo5Yv/W0Tpbfw/eg6l9AJNBQzDeVE+VCjlVkVIoarHtYy8lISIyM3T2HFNz5+npsx7d\nO4Nei6mrmwtXnwZ1PzLrJdzBDCsb+wzYLEQiUeQSmJycQao2c2u5SYIfNZxGVlPpHP/5GQ/bYS0i\neXPwYtI1kMoUVPIRgu49uvqaoR7ZZACRVIPPtYnUfAm9LIlCbaRSLrC/8RZdA8JgtFar4XfvoLZe\nBaBeThLJSpHKlJSLafJ0kw4sUm3I0JgHGeu7e7b74Wze4Xv1bk4IGo0GpVLZ5lt7nNie5oTwMNTa\nuw0mvF7vY2X1I8BjsvoAkMvlWsz4gQ+UkPNR42Ek+NxLG86enUahlOIPRSk1pMRyFVLxKJVqBafL\n9b6PcVo5U7VajcFgECrpPMBBwiEeVLnXZ59/hSpKZHIlifA+mq5REnGhCpCpZ5hiNoVOr8Xp8pAp\niejqEqZu6/U6ammVfV+UcEZBvpDHMdScIl9dXmF4sJkBHwwn2PXHkPWMMzU/LyR9yNsrOuk62Ehp\nOoiWakX7x6/SUHcMwTAb2zPqVzedjAy2EzqnN8rc2fG23wvFEkMOG6MXL/G9xSi7/mYsabbU+R6V\nShW0mvb2TE+NspEWIVd2NvOvVKrIT4i+s7OTLASKZAtlAlnJXQsBWAZGub4WP3W9O1pkaNjBiq/c\nsX+Vy1WQy1Dq9cRTnX1cZ6dGWfDn0emEQUPcvctg1o1aISRtRSvtfXcz28Bh70F5MNjLimUt22RK\nFcIiKeP9zftib6SO1NVui4k9b2tIhK3fQiTWvBcKpYy/eXUH88QTjE/Po9UZqFaFQcHI8ADLy4sH\nf2dld2cbgKGhAcJBH5ef/iyhjJI1Z4rNrU3OTI4T8O8zPHoGhcrAX3/z70+9pg8TncjQylaYP32u\nhCsziFTRjBsvFdJIlWYKiT28/jSFqgSJtlmXvpxcIxFPITdfoFouI9foqJbzhD2bmEzdKNRGGo0G\n+8vPM3b5v0UkEuFaeRnkPegtw0T2XkOstKIx9BALOjEPXiIfXMR2F6W/E+6WMHZo83jSt/Y4se3k\nhHD4Dr+bWns/yufejaz6fL7HyupHgMdk9QFApVK1TCk/CoomPDrKaqeXw6/+yv+Ky+0lnS8TCgcx\nDYyzt75GqVgkGAzedZ+H1l4nfWc7lTM9PP7Dmk56EGT1W999BYVKw+ylz5FIJBkeP0vAvUkFPTqD\nGZ1GSiQSI1lSo1U2GdT6yjLlap1ITkX/wDC5TKZFba7Xm+2/tezijTs+PvnZH0V1LFZOrWwlnMFg\nCHtvq2K6sbXLkLV1OjqZStNraidrjWp7wtXKhosRe/t0dixTRaloDwOIpsodiaDLm2B8bFioVvWJ\nJ8jq7by4EidXKCESdVYRt70pzk61e48CiJRGyto+dnyZtnWbnhRnp0bafr989TyvbOeo3KVPhGMZ\nrHYLvY4Btr3t1d7K5SoynXA9Ll2Z4621SNs2K/spZmbPMDI6xKKrvX0AvnCangEHkXiGpM9Nf2IP\nraIZM3pptJ/9Y+rqfqGB0azHrG/e/7mBbpx5QV0tVWvslcXMDLZafGkVMsT+zaNlm91OPN4kp/09\nZjbdURqNBu+uB6lqh1Cb+4764sjICEuLS4DwPpErheOLRCIUCin1eh29Xk86I8S9W7rNWEfmkRuG\n2XZ5kYqqDA4O0Gcf553b6w/9ndgJx98RpVKZb7/s5R9ud1GWWBHl1pHpjil3+R1K2TCBpAa5bgiz\ntorsYNBYzoUpV+XIzfMAVFIrKLW9hNxb1BSjKA/6TdxzG0vvABKplHIxi0qjxGSbo1zMIpVrMfZN\n4Nl4nTNX/xkx7yrzE3e3qjqOj7IgwGkFGU5Ta1UqFXK5/FS1Np/P37V87mmk9m4eq8ViEZWqcwjR\nY9w7HpPVB4BDUnSI+1EY4IPgQWejn9aG067Fr/wvX+HO8jJDo1MEAyHqUhWZbIZINIrH6z3a7jRr\nr+MhFqf5zj4odfM03O9jf/0//n9YHTMMOCbY2lzlyU9/UXiBVkTYhyeIhP3oVCI29mJ0Wx3o9U0l\n1O0NUJb2YR8UpqMNhhNG/wo58USaF9/convkEpZeW8tHKJFM0GNuVVb9wWRLKAFALFFEcSJeddsZ\nwtrT7q9qNrYrtcmCuC3eFUAi6/yByGXbfUQBMoXWftjX18vstct8ZymKSt3ZCzWeO32aP5HMMjI2\nSlSkZ8ffSghD6dKpYSbWITvZeueysQDOUJHe3l4s3RbcqSrpExWulp0JZmcFFwGxWIxcbySSaN3m\n2Mw6jjE72952R4LdcJmZ+TnW13awRDYwnBh4yBUyQiXhfgeLdRpqNVZzaziHVCYjjaCuLmXrnB/r\nnLxmq6fwu4RM/wFbDyu7rdW4NGo5/3jDTd/4eXr6+rHb+olEBBIukNJmvxhxDLC1KXi0jo6OsbK0\nAEBvj4lkIobVasXn3mPszCzuUIFkpkwk6EOlUtBjG+PXf+v3OrbxYUMkErG2FeYP/tbJZnwU8UGV\nL4Nec/Tc1SoF4mEvKc6gUHdRyqeQqYSwmXLGjXt7AdPAk0f7VMprhNzbSE3nkBZ3UBsHSHgXiWWk\nKE3DVEoFXGvXMffPUK2W8W68yuDUJ8jF9zEazdSLKUTVHGPDnT2GO+FhFAQ4Xj73g6q19Xr9VLW2\nWq0erSuXy3zve9/j2Wef5c4dobTwo/C9/0HHY7L6EPAoKJqPSjvuZqE17BhiZHCQ11+/jlKtZmB4\nFH8gjF6vZ2V1nXQ6feSekMvl2sqZ3muIxceVrNbrdVZ3QihVahyjZ8lnk2i0Wt65/jKXrn0agLBv\nn+39BOOzV9nZXGHYIZjDO/cDmPtG6esXyEU8FmmxqIon4qSTKTYCIs5e+pRgXE4rcfO4/fR0tyqe\nYkn71L5S0U4EG6J28nlndY/xoXYFRypt37Zer6NXtb/earUaOm3npKtSMdfxd2OvA0m3g5duedqe\nl3K5s0tFsVTCYBIU5OGRIcJ1LbsHhLXRaNAQnf7cuUNZRmemWdhqV0QBMuVm4tX8hTleX22NS00U\nW897ZGyIhWPqqSeYZHDEdrRsMhpxx0ot55bK5FDrtaRDXp5WR+hSdS5LOz3UzUIoQ1qmYqRDNTCA\nKVsXz7lTXD7FZQFgM15CXW6qxBaLiXyheNCWAsGckgLqowQhS3c3bm/z+oyPj7KyIhBUpVJJpSqc\ni0QiQaoQCHRPt4VAQCDBaoWUarWK1TZI98gVdlweei1GRsfPEklUyd6lxO3DQDKV46+e8fGfvhsn\nJ24q+YWkCxTCvazm/Xg2X0U78MNH10lecyHXWSnGNghERfRZB46IYsj1LplsFalJUFl1ei1J/xJZ\nRug1iRBLZUS9K/Ra+5EpNERct7EOjFHKxfC6ttGY+wkGI3zy4vsrI/qo21Z9ELUWOPrWNBoNrl+/\nzu///u/z8z//89y5cwelUonVauX8+fP86I/+KD/zMz9D9pRB870ikUjw+c9/nsnJSb7whS+QSrXP\nsgA4HA7m5+c5f/48V65c+VDHfJh4TFYfAO5HFauPAo9CO95L2fyf/sd/SSgcYnVtG6fTSb99iDuL\nKwwO2Hj5jZtIpdKjqf2T5UzfTxs+jmT1l7/6u4yfvYKpq4ftrR1s9iEioSASqQqFUnjB+vwBJuae\nEtpSryASifD6Iux5EjiGBo725ff56bYIxLNULPHG2+s4zj6JY1SI/Uwm4vSdICuSDiTyZFgAgF4t\nIhiJc2d1n3eW/byxGMYdyvD9O3GefcfH8wtRnl+Isegq8OKdBC8sRHn2+h6v3wlwcz1KOpUgX2wN\nD1hc22OyQ0Wp7f0oczNjbb/HE2kGbJ0TlrKZDGaLhTOXn+DZWxGiSYHIBCMpJsZtHf9myxlnenrq\naHl0bJhwXcteIMuuN8m5Y/6pJ1GtgV5vAE0X7mCrIusPxRkYaj2vmQtneWtZKDeaSOfp6m2vvjV7\n7gwLW4JH6260Rpe59V6dvzDN9dvOo+XFvSzdFhPxlVfoUZ5u0yaWSHFW5Jw55doBuHNVTHbbqWra\nTrLE4JANm7JOOi4Q0LHRAW6t+0mk8tzcyTF17ipqjb7lfdVl0h+p5DK5nGq1uc5ut+I9mH0ZGepn\ne0sIMzAZtBSLRYZHx9leu4PNPoB/f5eZy1/g9vIW5XyKmQtP8Ou//aenns+DRKPR4OV3PPzh90Rs\nRAbpMomRyJthFiZ1DolCSzG6RCBUpru7H+mxGQWNWkPKd4twtpd6JYtYI8Su1opxpKIyGquQTJmL\nLFMuFUjXh6iWk8h1fURctymJraiNNuLeO1RqMpT6PiKhML19PcQCbkZsenq7W2dA7uWcHmWyeq84\n/HYdnstxtfY3fuM3+M53vsPXv/51fu7nfo58Ps+tW7f44z/+Y37xF3+Rp556CqXy9NmTe8HXvvY1\nPvvZz7K5uclnPvMZfvM3f7PjdmKxmFdeeYXbt2/z7rvvfqhjPkw8JqsPAB+kMMCDwCFZfRRDAY5P\n7X/1V3+Zje1t4sks2ztOlGod6UwOk17N+rbnQ08pPUzSfr/IajgcoyzSE43GUKo0FAp5+qxWdl0B\nzN2Cn+ny0jLzlz5xdP2MOgX+YIxQSoRYqkB/bNpfLhOIZySa5K3FAPrukZbYVI/bS3d3a4KFTNSq\ntAb8Qey9WiF5wxPl7cUA33zmDruRCnGRHcv4k9gmL2OyOjgzf4GJuXlmL19j+tx5ps+dwzp0hrPn\nzjN97gJzT3yakbmrJGtKxi9/hgUvPPOun5cWQtxaDxOMVzpbUKWrHfvLnidGf39f2+/lcgX1QYlK\nsVjMhScusxaVsLwbZz9cotvSOakkkW0PDxgZG8ZfUXFjw3Pqh8ofSjA67gBgYNDObqxGOtNU+bY8\nGXp7WtVljVZDQ28hGM2y7skzdGyQcQilUklBoiQSTyPqIJKKxWKkhh5S6TyVSpVCtYomssKn5sbY\nSXWO161Uaywm6lw8P0Uk07mQgjuZR2UyMzY0iCfVvk0oVwGNDrNBh06tpBH3Ha2TSEQsuIpMzp4D\nYHxygjt31o/WDw4NsrnjPloeHRlkd28fEBJYQ6EDFVWjpnhQrGFgoJ+d7U0hqVIlKN9GkwGpTIHW\naMUXjGI06JFpelhb3+54Tg8KNxd3+Ppfe3lxxU5VbKFcSoG8OSioVsuUqw2SnhvEK2PUkdBQNh0r\nEr53ScYjZMVnkSk1dOkqyBRaqvkg+3traC1njrbNRDbINQZRKHXopDHSUSci4yUM8jjFTICydAKT\nXkrEt0O9WqVULCA3jDI/+v4J18eFrJ7E3QoCyGQy+vv7uXjxIj/+4z/Oz/7sz3Z8P70f/P3f/z1f\n/vKXAfjyl7/Mt7/97Y7bNRqNhy5KfRR4TFYfAO61MMCDxsOO1zzejsMHqlM5Uxvg0wkAACAASURB\nVIvFzCeuXWRpeZ1sLket3sDtTyKTigjGMi0frA9z/IeB++XI8Gv//k/Q6ruwWCzkCiJMJi2LdxaR\nyHUMDtgIhSJEY0m6uoWPm2tnDY1GhS9Wwzo42makr9OI2d7zs+UtMTZ9Ac2JaWGxuPXFG4lEsB1L\nmqrX6yyvu1hYi/DCOwFKymFs4xfQmgc5d/Eaen1z270955EjwSGq1SoGXfv0fTJdRCqT4RgZY+7S\nVSbPXaJ38iLxmpHn3g3z5h0/sXhzeqxyipVUJtueuAWwue1leqa1fOT4mXEk3UNsuMN36TedB6Pj\nE6NkxF34Q52n7NyBAuZjqufM3DSv3Akf9ZGyqHMIw8TECO9sRcmUTu9LU9PjfPdtLzNzs53XT43w\n7kaId1d8zJmKOIxCjHem0f5RbTQavOpKcnV+nIFeC1vJdk/YRKFMDDnWHgsmo45gtVVpz5UqBCpS\nHNamFVmfrEI6ESOXL5KpqslXmqquWCxGdCIOWS6THl0brU5H8hgh7u+3kogLjgkD9n58PkFpVR0k\nXY2OOlhfWWRwcADXzjp2xwi20Ss4XS4GHWN84z89HGcAlzfGH37TxT+8nidcGDj6fqjxIVI2VfWk\n+2WyBSklxRxisRidLIxEKVzLejEK1QIN/VXEYjHFXAypqptqdp9AMIPFqEGqEohvzPUGxsEfRq4y\nUMqniAZd1DTnKeUTFPNpUqVuKpkdioUcCssl0tFNZF3n0NedWMztKv574eNGVt/LY/V+2VaFw2F6\ne4X3d19fH+FwuON2IpGIz33uc1y+fJk/+qM/ui9teRB4TFYfAB7VMAB4uG059Dyt1+tHpvynlTP9\nF1/+72jUK4RiBZyeMPVqjmhOSr0YI1VS4PHd3SHgbniYFl73I8ntxVfepSZSoTUPk88X0JisZNNJ\nugbOIxVVKJZLePxpjIYmQQz4PQSTYBsaF4ihtklGnTtbhCNJCnQxNDpFwOvCam1VFFXK1j7u9YSw\ndBmJxlK8/u4eL7zppK4aYHz+SabmLh6VeoT2c2/QTsjWVtcZGGif1lco2+Ndq9UqA4M2Zi5cYHDm\nCrspHd993cWbC040qs7XWirrHJOZynVOBtHpdRhto/zDS+sUiq3K4743ytQZR8f9hSMJZs6dY91b\nIZZoj1krVNpJ7tVPXuOlG158oRSjE53DDgCGxsdJ3IWsAshN/WxsB05dbx8ZRFEIMN7VvAfD/RZ8\nmVYyf8Of4qlLZ4+WtQYt2WPXoVipspsXMTPW/FD3WvSED9wDGo0GS8kqMycSrgwaFbWoh1dv7jM+\nc7VNfRofG2J5tekccObMBLcWmv7LAzYLoZBgg9Xf38fOrlARy2w2EokIYRDj4+Ms3xFCiORyFSKR\nCJ1WiVqjp5ALMzz9KeLRMNahM3zz28+deq0+agTDSf7s2/v8P38rYsmpoy5tDa04fGbq5RTF8E10\n+n7EaiGkpV6vI1cKxLGe3cG9u4HCNHP0tzqxn0YljT8CDWkXco2FRqNBLngLhUKJQi28C1Ke62jt\nn0UqlZLxX6cmH0Kl6yYdXkdsvIR3/QW6Bp+gGNvkynTnghLvhY8bWX0vj9UPY1v1uc99jrm5uaN/\ns7OzzM3N8Z3vfKdt29PacP36dRYWFnjmmWf4xje+wRtvvPGB2/Mw8ZisPiAc70h3Syp60HiQZPW0\ncqYikQipVPqe5Ux/73d+g/29HaKxFBJ1P4lokFJNSjjgxBurEo2dboB+NzxMV4T7oer++TdfwmC2\nEQ1uMzh5DdfmLRTaflQaHTqNmNU1F8ZuO71WYTo5mUggU/dgHxamBV3bK9jtBxVtyhV2dn0MnHkS\nc7dAFtOpFDptkyQG/T7sx8qnNhoNgn4vL153sR9X4pi+yvS5a8ikrS/Ter2OTtM+jSiTtl+PYrGd\nNNbrdTTq9n6yurLG4GCT1PUPDHLuiafJSXuJlEy8ftNNOtNMpvIGYkxNdk4Sqdc7K6Q7O26mZ2a5\n9Kkf5vs3gi3E0x8todF2dg9we1N09/QwPTfDzfUU2VxTCYzEUvT3t8d+isVihqYmeWXB3RZrehy7\n7ijd/SN4fJ39V0OhJEOjYwRiRcrldiW00WhQdG/w6bMnCKROQ+iYwrkeyzE8MtJC8KdH7KxGi0f7\nuR0rMT/paNmP1WJivyjs50awyMUO1l0AJgoMOIQkorHxSe4s3D5aJ1coKNeaxxWLxUe2TADd3RY8\nx/xxzWYdxUKBYCBAuZBnZ8dJPB4/InYORz97O1sMj4yws77IoGOMYj6NRNVNqVjkjVuujm38KOH1\nx/nTby7xW39VZdHdR0OsQSP10JA3q8pV0uvUFIPUU2uEvV4SaTFVRbNoRCO3Csp+iuFbBOJ6ei0a\nJAqBTNZqNaLBbYJJI3J1H8r6HhKNjYzvHSIZHXK9MKDIBm9itJ5BrtRQTLvRdI2jMtiJ77+FefiH\naVTTdHX3oJBBr7ZIT8/781U9auvHjKzez+pVL7zwAktLS0f/lpeXWVpa4ktf+hK9vb1HA7NgMEhP\nT2f7MKtVeG93d3fzUz/1Uz+wcauPyeoDwkmy+qioq/e7HYdT+yfLmSoUiiPvWblcLkzxvccLTCKR\n8M+/9EPEYjH8gRD5UgVDzxh72xuotUbWdiNEo++fsD7sMICP4tiHMb7/9jf/AMQqJs99FpNlAK3e\nLGQ9O6bx7C6SSBUYGL9IwL1OT28fuWyWd28sHtlTAVQObL+ymQyvv7WE0mhtUbhEJ9RQv8+P0Sh8\n/Ld2fLzw2hqa3hkm5y/TYxWIj8e1i2PY0fJ3W2vLOIZb4ytj0TB2W/tLVyZrn4peWV5mZLR9iq1U\nlnT8eGRzdSbPzuGYucodZ43vv+0hnsjgDxfR69sraCWSaWy2zuQwkWl+oM5fu8qis8S+T+h7hVI7\nETxErtgMQ5i7fJFXb/kplQS1cduVxtrf2QLIZDJREGkIRzqHDzQaDcpVKfahYVa3Qx1j4jedMbp7\nepk9f4F3breHzsS2F3h6pP06AOj1apKFMq5UCaXRgvGYl+oh6jIFtVqdhXCeC9PtSWwARr2adz0p\nhgf7Tv3A78ar6GqCCiqRSqmJWon/8JCV7R3X0fLEuJ2VlabaatYr2dzaZWHZgydc5m/+4S0yomGs\n0z/CtjdHrNZPKFnjmWdfZnvLSSgQEOyv5GI0Wj25TJTh8RlUxgH6Byb4ld/4g47t/LBYXvfzjf+8\nx1d/P8CKt/voPOv1OkpV6zmLa2FywduEMjZEykEsZhkSaXOgJ21kSAdXSTemgDooDsIBqkVS+8+j\n6Psx5CqDUOhDrSbjfYe8dA6LNodU2UU+dIt8oYLcMEKtGCET2UbfPUU160alUaNQqgi73kVjsBIL\ne/ncU+1FNe4VHzeyerfzSaVSLWE9HyW+9KUv8Wd/9mcA/Pmf/zk/+ZM/2bZNPp8/ch3I5XI8//zz\nzMzMtG33g4DHZPUBoVPc6qOUZPVR4WQ502QySblcbitnekhQ328bfuwLn6VWShGJhNHorXjd25x/\n+kvsbi5h6rHz/eu3jz7+94of1ASrkzG+oVCEvWCFmctfYO3Oy0zOPcXijTc4e/HTAARca5j6pgQ1\nSiqhVCpx8/Y6al03RnNTJdHrtEQjMW6vBrFPXMTS1Rp7qlW3EkeZTMbuXoCXr2+C1oGh28bAYOt0\ndTyeQattLQaQL1TbpnldLj+WE4lalUoFk6HdXzWbb3RU4DuFFgBUK81EpeGJScbPXWEzJGXbGSSV\nbretcnmS2Gz9bb8L+2olpGdmZ/Bnlbx5YwOzub2tAPlCAa2+NcThwhNP8txre9Tr9ZZp9JMIBKLM\nXbzCwqqvY//e2g1w9pxgQXTxiad4/Z29lvX1ep3isRADg6UXX7A5sFtfeIsJVeXUj66jr5vboTxF\nhRb7yfK5h+cy5eDv7rgZGjw981+l0ZGQajAZ2kvpAix5koyOObBpKxSyQvvGJxysHthSgRCbGk80\nXRKUSiWlqqC27uz5cfmyrDlLdA3MMTJ9jQHHJNKDIhBGcy+NRoPxmStoukYwDFzBYJ3n+y+/gVqj\nY3v1FsMjo+SyKfR6A3WJlmxZyebWR1OKtVwu89Ibu/y739/hP/ytguV9C2ZDhYakSWjEhU0qUmEQ\n1qikKUfeJFuxUxCfRSwWU8n7qEiEftloNMiH3yZVMFCRC+4TOrEPsaqfRjlKLrSKoWv4yN6tGL1B\nLpOgpDxPuZBAru0lF7pFsjqKydJDvRTH73bR1TdBLR/At7+F0jRGzLdCV4+NeDjAk3Pdbb7I94rD\nGcWPE1k9rcjB/RZAvvKVr/DCCy8wOTnJSy+9xC//8i8DEAgE+OIXvwhAKBTi6aef5vz581y7do2f\n+Imf4POf//x9bdf9wmOy+oDwqMatfhTtuFs5U5PJ1DK13+mhfr8xo9/47V9nffkmGxtrqLQWAp5t\nZCo9kaAXq32Y599Yo16/9xfFD4qyenIgcDLG91e/9hcYLQPI5Aq6ekeJhgOIRA1Uai2RoJc+xzwa\nnYFKqUS3xcib128wPvM0ymMlQYM+NyIqbHtyOM6cY39rmX57U/3cXltkdKw5fevz+Nh1eqgobYzO\nXEWp0pCMJ9CdUCol4nZlVCLu8MHr4K+6srTG8Ei7gipXtJPCYrFIdwcrnXQqSV9/u2LbP+hAa7Gz\nsJHm+ju7Lf3wtKSrWCyJzd6+r6GREbxZDbFk5ySu7Z0w4xNn2n6/9MlP8q3n7tDTe3oM4PaeD4Op\ni/NXn+a1t/ba1vtDBRTHqnWZ+qy43NGj5ZV1L/OXmh6L/fYB7iy7aTQaRP0uLoz1sxnsrNoCpPNF\n0jINQ8eSoU4ikCoi7bFi0LWrrgC5Qgl3DkxWG4UOhNsfzyExmNDpNJgNGqRZQf1VKpUUyq2DkkHH\nEB5P0zlAp5Hy7e++SVU1yMjs0xjNPZTLwjGGx6fYWhMqXNmHRtldF/5vG3Tgda5j6rYiU5jI1Htw\ne6LUq1VymRS2gRH0Jiv1hpTf/uPvnnre74VGo8HtZQ9/9Ffb/NJXX+W/vGLCm+hBJJFRLaWpS1rv\nu8mkQtQoIy2sE/N7EUvVyDTNZ7DbUEQsN0AlTjl6C4VchcIoWKHV63VkKj3knUQDUUplEVW5Q2hH\nJU2tkqOuuQiAQRagmHKTYwp5dQex3EQsFMCgESOSKghFUlj7rWRDq0jFIirlEkaDjktne/mgOHzX\nfZzI6mlFDlKpFDqd7r6dq9ls5sUXX2Rzc5Pnn38eo1F471mtVr77XaG/Dg8Pc+fOHW7fvs3y8vIR\nof1BxGOy+pDwg0xW308503t5UD9IzOhv/bt/g9u1y/LSCslUDqVShdvrR3JgOv/WHed77KGJR5ms\nnlRPjw8EDAYDWq0WmUzG955/Hal+CJO5G4/HR19fL0F/DLOlh0Iuw+LNtxkcFRJiXNvL7O8HGJ//\nIQqFHKZjVaHWV25TwIJ9RFBpJOLWogrVqhBfXCwWee21d1neCnPpE19ErWmSU6mknXBqTxjx1+t1\nTKZ2snloE3Uc5Ur7IKdarWIytleoWlnaYLCDddP+fhT7YDvhde7ucWZmnrHpOexTV3j2VSdbOwHB\nnaLW2Rh+3x2nr79zopNIpEHTN87rb660rQtHO5NBsViMqmsEf+h0ZbVYbp6/Y2qaO8vNafxarYZI\n0np9+m2DbOxFjlRYXyjb9kG9+OTTvPPmAv3KBiqFglSl8+egVKmwFivxyU9+gmV3rOM2yVyRYEXG\nlcuX2eoQM9toNHhjJ8bU1Bjjo8Nsx1oHAoVSBVdehMPeDIPo15Qp5IRrNjo6wM52k6R3dZnx+DM0\nGg1u3NomVtQi1/WhOrCjcoyOsbkq3APB4L15LKPRQLVaRaXWUCkJRR36BsfJpqJMXf4R3nxnmWI2\nSi6foVKMMXr2aapiLf/lW//Y8dw7odFosLTi5C//fpd//bUNfvev5by5akSp62txzjAqQ1QlTcu0\nfGKDQi5FIrBDMGWj2lBSETcHRuVikprEDNlVQr4wsayGirQZY9zILlErpQhEFYiUA5jNSiRSOaJy\nkNj+26i6BV/VUjFDJLBDXjoHYjEyWZV4OEBF3ItEJiUWDiOpZymXchRlo+TTAVCNMztQ+FDk62FU\nr7rfOE0p9ng8DA4OPoQWfTzx8eo1jzB+kJXVD1PO9KNqw0mMjAxzYXaEYNBHNFlgcXkDs7mLLWcA\npVJBJKtgYfXeLK0epTCA09RTmUyGXq9Hr9ejUCgQiUTUajWq1Sr1ep3/929eRyKRU62KMBkN+Hwh\nqtUs9qFxlm7fxjp45qgPBv37OKafQiwW491bxTYgvFDXV9dRaOz02h1H7dGfmK5VKmRsbDh568Y2\njplPI5aoUJ6oe61UtJJv584Wgyfqwa+vrLbFq0bDIazWdlVULm8nsIu3FxlytBPGcrWzep/LdVZJ\nI+HUUSiCWCxm7vI1ygobf/nNlxka7mw5k8l19hQVPsR1zOZuuofneemVhZZ1srtMnWayJYy2EW7f\n2Wxb5/OFGTvTLCKg1xsp1tWEQkIi0eLSDmfnz7X93cUnnuK1t7ZJJrN097eHM5QyYS6P6tFqhPs3\nPjqIP9EaDtFoNLjpTXH2IM4t3Wh3TShXq6zFKkyMj6DWqImW26//zf0UT1y7cLScR0K12gxLuOHJ\nMn8iztVi1CDJCL6pGq2WxAmfVqNRwzP/eBPj4Dl6bKP02hwEvC5AeK5Uas3Rcz08Ps3mqnA/BkfO\nsLlyC4D+wRG8rg20OgOFfAmZTI6l14Fx8JNsLN3CNjSBTCajt3+S517bpFY7/T2RSmd55S0Xv/cX\nG/wPX13mT/4uzAs39MRzFkQiMfL6HtlK8z7U61XEB9W1GrUMqto2slqMROkMdZlDuAb6FI1jrgCi\n3G0KKT+hlA2xop9eUwWRTIgXF1UTFDMREuVxZAoDtdwOFdkg4sI24VCWbusAEpmSerVIKfIm2oEv\nCdZk/u9TrqoQqccR5xYplhqINOMUU05KsjNkPK+gsT6NKPUO589+OPL1cQsBuFtYg9vtvm+2Vf8U\n8ZisPiD8oBUGqNVqLYpeLpej0Wh8oHKm74UP6o7wS7/wM1DJs+/cIZ3O4YvkkEvrJLJl6nkfsUo3\na9u+99zPw3RnOAyBeC/1VCqVHg0aDj/Ahz65//Ov/Q7a7mEajTr6vhkyCR/GvikUCi1Lt96lb+gC\npoOa7RsrK9gcs0cETXqgyK0srVGpG+g9luAT9O5hszdVn2Q8we7uLiLdEKNnrwIgk7USMNf2OkMn\nsl8z6UIboS0Wq23xpk6nj66u1inRUqlEl6ndMaBYlXUcGB2fCj8Okahz0lOD9phXg6kLTfdZNver\nLC27WtbV63Uk0s6Exen0MDk7B4BOb2To7BP844sLNBoNNrc8zJ2f7/h3xWIRtV6DqauXksSC0xVq\nWb+3n8Bobo0THZ6Y4Oayh1KpTCRxejZy//Aoz720wNBwa+Z9LhXBJvLTbWom8piMBgL51mf5zd0o\nM3PNdk+MDeOONglto9HghjvF7GzTi9bS20cg1nRH2A5l6bbZEB+739NnJtiKCPt5eyfC2VOcAQyi\nFPlcGoDBITv7LmHGJB5L4AvnqMq6jvqy0dx1ROABhsfGWV9ZBIR+Wq8J24lEIrRqteAmoTOQSwt/\n0z9gJ+Tbwz40StC9xdDUZ1hauE0qto/dcYaeofP8/C99jWKxSKlUYs/l44VXtvnjv1znV772Or/w\nv3v4w7+T8sailkw6R6rUOpjSGVSIJE2yr2KHGkrk5TXiAS++QJWafOJofbWUoiYR4rdF1QSi7C3E\niiHyjQnEYjHVQoiqtI9Go4GkuEnCs4DU9PRRX+gyQCO3iT+mR0yOitxBo5IiE7iFvnta2K4SRaky\nI9JMUcrHKZTKiHVnSbm/j8r6NLWsk76RJygnVvnpH+3sz/t+8HEkq8erWB3Hh3UCeIxWPCarDwiP\ncmEAED7CJ6f2K5UKMpmsZWr/g5QzvZc2fNCp+P/4O79KKh5CJNPh83gIRVLUxDriiQS5ZAhvVs+e\nO3TXfTzol+dx9TSTERJF7kU9Pd7WcrlMPp/nzbcW2POWkSnNmPsn8ay/iqH3LKVChnIpja57koh/\nE6ttELdzj1AwiH1Y+CDW63XMZgO3b95GphsklQgdZe8DZJJJNAfejpvrO7z+xk0u/9A/P5pqrVar\nGE4kDGVS6TZiWi62lgwFEIta1eRIKEw4FGBjw8n6mpOV5S1Wlrd48bmXKBQqeNxeyuWmOipqtMeF\nptMpenraLaPCoQiO0XZFqJDPY+7qnOhTLlcYmZpFahjme8+9Sy4nEKvtrX3mzrWrmABej69FBVap\ntUxc/BTPPHcDry9yasWajbUdxs8IRGBgeAynP0802iRd+WKh499deupT/OOLS+jMnTP4AXr6+oll\nK5RKzWtXyCXpqbroMbbHlsqVcnIHiV7LvjTDE5MtRFin0xAsNJ+XNzdDnDlWVhbAau3BlRHubzRT\npCjXYulqVcxFIhGJighnMIXJ2tfWZ0DoF75kgVpOMDs3mc14fTm83hDLWzEcU9ewdHeRTjXDDvrt\nNiJBP3Aw/X/s0R6ZGGNvS6iA5RifZmtVsMQaGJnE79lBpzeSz+WQSKXIZXVUWgMylYVCVUMhm0Sj\n0ZOvG/lXv/ItfvHXlvk3/z7DH/2dlNfe9rMbHqBOs+/p9RJE4uazIantkT5QVevVPGqRi3w6TChQ\nJJjoRySz0mOu0RA376VJE6Ym0iIvrREPRahXxdSkzdmIHpNg+1eLLxBK9GHqtiM+CMHJRFdIJKKk\nKhPIFFosZjnSRopUxC1ca+UAokqIpO8OCvN5GtUs9fQSpqHPUcts0tU3glJSRdLIUc0HmZvoobvr\n9H52r/i4kdXTkqtA8Fh9rKx+dHhMVh8gHiWv1eNT+yAEg3+UU/vvFx90Kl4sFvOvfu6/Zn9nFWRq\nNN2TrNx6DfvZH2F3/QYKlZ4Vd5n1rf37cvx7xaF62ikJDUCj0dxVPa3X6xSLRbLZLNlsllqthkwm\n4ze+/i36Ri6glCvosZ1FquzCYh1jf+tdpMpetHozcikEfV4yBQkqteaoH+6t38Lr9qDvm0GjNSIS\nnVDJ62Vy2SyvvvwmYs0gWl2rBcvu2m3sjuGW3ySS1mnier2OpbsZcxcM+Ln5zgKBYJSXX1vnxVdW\neem1VcIFA8quWZQ986j65tHaLqG1XaIstaOynqOkGufd5TDPv7LCMy/cwRdM88b1dVZXdsgeEP61\npTVs9vbQAPd+CHNXe2LQzuYOw2OTbb8XiwV0BoFoaA0mZp/4Ed686WF7a59kKnMq6ZTL2qf55XI5\nc09/gUQyduqzXq+3Eu/JuQusbLopFosEAyHGp9qTsg4hVqqodigkcAjnnosrP/TPePMNYQq8WMgh\niy5jO4WkjzoGcCYq7EZyaLqt6DokS+lNWpLZIruRPP2jY8g7qNkKnZZYKsd2qsbwUOf43oEBOwvB\nAnZr54Sd2zshpmbn6dJBIS8otQq5iNWtMI5JYcDQ0z/Ezvox26ruHrze5uB0ZPIsa4sCKVWq1OQL\nAmkXi8WIEJ4xvcFIKi7E4lptVkJ+F0OjszjX38Y+fAap3IA/EEMslTAy8wm8YS+JrAmxREGtVkCp\nMSA6FoeqaOySKbV61WpUddSiAPLSKsmwk1QsSkl6CYn8gABWfGQqzVmMSilFPh0gGdonnLZTQ4Po\nWKnVcj5MNh0mGoiQrk4gr29TFDsAkNc86ORF6uqDhLrCDpVag0goTaluQaHrRVTaJ+iPYeodRVTL\nkPAtoOmZRVTYp5wNI1Xoifi2kEjl1JDzmSvtpYg/CD5uZPVuMbiPldWPFo/J6gPEw/ZaPa2cqVgs\nRqPRfKRT++8XHybJ6dq1C4zaNQS9LnyuHcbOf4Hd9RsMz38Bv3MJg2WQd9dCBEKne7B+1ElWnWJP\nK5UKcrm8TT0Vi8VHanYul6NQKFAsFo888tLp9NGgQqVSodPpUKvVfOWrf4ip7ywyuY6hM0+w/M6z\njExfoVjIIpXp6LWPk03FkEhqBEMZ9GYbloPyqvV6HZ/by8CZT6FQCKqW7lg502q5TCGXYGFxn+GZ\nT6FQaVBrWolLtVxueVELSm0rCVpaeJdEIsf3v3+LF166SbTQRSwnY+6pLzIyc4nxuSuMz14ln8ti\n7VShSiWQealUin1kmon5J6gh4cKnfgL71FU0/RdY2s3zwvcX8fgirK2sttlKNRrtlaIArD3tah5A\nPhVidHKu5bfJc09SUdqoljMdn9lcNknfQOd4vnw6yuDcj7CzsdQx3EalbSeE4/OfYm/XRaWcx2g+\nPQO/t68LicpMIds5eUshraDW6BmYOEs06Kae9VB/j34ezZfJy/V0d3f2h7T3W7mxnyAv12KxdHYw\nGBse4Lm1MLPTEx3XNxoN7jjjaLo7XzNPOIW+px+xREKX2Ug1G8Tr8ZOp6iiUWwcFXT39ZNPN8+/p\n6yYRE9RYmUxOtdbso45hB+69bQDGp+ZYXxRiV+1DI4QDbvTGLqIhH2KJBLXOjFypRiyGiflPEwjE\nSISdjE5fIxX+WwAsuhDZYySzXq+j1vz/7L15kCTped73y7sq6+7qqu6uvq+5Z3Zn9iSABQGCAAUI\nIGTIhmBDR9i0zJChkCnZIiNoUabComSFbYUZQdlmBK2wdYUcAIkFZRJLggCWS+w1szM7R8/Z993V\ndV+ZWVl5+I+aPqqrerFY7gVy3oiO6qrKyvzyqK+efN7nfV4dRBnRzRFVVpEaP2B7x2QnH2W3msET\noijBdMcc2x/3QYogegV07z7Ur2OKz4LSZlL7Qllssb0d1dtAbt6l7l9CUIfwPI9oLIKAjWzcYGdz\nh5Z2cv84O/UH5CsRBC1Dn76D4DbI5kRiQROUONXCGslkAtEz2NopEIgOUCrkUEWDqp3gUxc1VLV3\nh7cfNf4sgtXj9md3d5fBwXcH5D+KR2D1fY33W7f6w6yO9tqZHscUvZ/xo61BPAAAIABJREFUpwXu\nv/KLf4tGaYNycZcHt97A8QNUy0Usx6e8u0L/0CR/cCV/bEX2u9FydY/97MWe7vnL9mJPw+Hwvr3X\nXup/rw2tIAhIktThwFCv1/nBq29yd6HA0PgFfN8nu7lMJJ5BUTRuvPodpk4/BcDSnVewbJ2BsdNs\nLl5nZGIKz/N445VX6B+a3T/3qw/eZGxqan8/fvDdF4hnnmD8RJvB2lp7wOjkRMf+6qHOvuD3b73J\n+NQEpUKBNy7P8b3vXWN53WZg9hmmLnyM2ceeIxyN07SaXWzE9toikWhnqrhaLjDUo0HA+Ei847uU\nGZtl9vHnOP34s+hDz3Dj7gYri/PktlZo2U0Sid4sYsPsXXTlub1fl+QAQuJxHty7TdPsLEQya2X6\nB3p3wWoaZSLxFEr6mS7AWsxuMDDW26Q7MvoMC6vHt0Y1G1UsoY/YwCxra2td16/TsinV28cpFOnD\nrmcZH0lTbXVr1PeiXGvgRgYRerDEe9EwTPKuxkjmeAujGwu7xDLTx85vL165y/lLTzI+PcXydudN\nZN2wyBoC/akDJjGhezxYzjM8dZaBTIbs1kGmZHh8gvm7D/afD2RGWbh/4Is6c3KW+bvtlqyRWJzc\n7gGQ9dz2cUgk+9labethp2ZPsbO1zMT0CZbvX2N08gSby3OkBycIxqaJRGMMjo5S3P1jLL89Rs9p\norCDYr2C4DWxS9fJFzxWN1QEdQRRmz4YX6yA6R26AWmuYlo2SnOO/E6NrayMHDpg/J1mGUEdQPF2\nERs32N6qQOjc/ndIde7j+gqN/ANyjUnS6TCiHAK3hr37PYT4J5C1BLZZol7ZJluKg6AgyhLVwg62\no+L6AvmSSyxYwzKb1AsLoE+REBa4eKZ3o4p3En/WwOpx3av2sqa9faAfxTuJR2D1fYz3Wrfaq53p\nHiOn6/qx7Uw/DM4E78YY/s1v/mOW7l/DNAzKxQKLC4sEQoPMzy/huw5BxeGlOy1KlW6m7Z3YZ/W6\nGdiz8Hq72tPD2tW95gm6rhONRolEIoTDYcLh8P769ljVf/Yvfo/h6SfJ7W4RjvXTMFzSmQy3r71E\nINyPFtAxGzUEJcbQZBsMKbKI6zq88epriEqY4YmDH1DbaqKoGrVKmVdefAklNEIseQBGGpUKQf0A\n9FXLBQYyB8xby7bZWF3mxe+9wfx6k+T4JSbPPose6k4Rx6LdBVMnZroZCKuyRjLdnUIWe1hjlfOb\niME2AEgOn4f4RRraOV588VVcT6BWznUsX68UCUZ7sx6G0dtCqmXkSKTHCQ7+BPPLWWrlAx/Tpn28\n7ZT5UAMqyzJK/1OsLBz0srdb9rFpxEZlFz9yntzWYs/36+VdEqm2Ji6ceZKt1Xsd75fzm6TGzuP7\nHn7lNo+dfdjC9MQpVra77aUMq8mN9Qqzp89RMHp/F13X5fpKiWc//ikWjmnrurJdQu8f5Oxjj3F/\nvXuZhbUdMrPn2uxlKMxW9QDQ+r7PjZUiMyc6nQFSqT5mx9op8+RAhrXlTqePSDyKUT/QRvcPDlEt\nt0FwUNepVtpFWrbdxPd9Xn7xZV7+k8vkCmV+7/nf5bWXr1OpNnn1xe+xu7PL1vJC21IsGECSFSTB\nITNxmlbToFqxCMf6CGg5AhSQrLvU8kuUCya+Mst2cZAmU8hygFQsS80+uOHyW7tYfrsxgepvE5UW\n8e1NCtUM+dookppgoM+ixcF3S3VvI9i7ZLMWJXOSzICIJ7Rv7HzXoGVusZsTaYlTyO4yljiO6q5T\nz68QTowhykF814LaVdzgx5C1MH7tdUw7iKdOItn3qVohbCNH0xZwhQSh+AhSa4e//h/1Lgp8p/Fn\nDawetz/NZvM9qe/48xyPwOoHGO8GQDuc2u/VzjQajf5Qz9MPA1h9N9LwkiTxD//bv8bSg1vsbK2j\nKCq35+4RCCeZXykiyQq1hs2LN02qtU4Pzbe7/bdqgPBW7Olx2lPHcVAUZR+YBgKBY2UYe5KBv/zX\n/wGynqHlCAQCYRr1Fl6rTimXI9J/ioHMCHbT5OYbP2Bsug1UHcdB12WuvXaF4ZlnsJsGauAgDR4K\na6wuLnD79hITZ36yy+9UpDO1vrpwh/70INVyidf/5CVee/UGob4ppi48R2poAgDbtpia6dS0NmpF\nhnv4nfpCN6gN9fBcrZVzCFp3etoz8wT0WNfrA0MTSH3PslbQWXpwj2J2Fd/3aRpl4n3dzGC9kicQ\n682Qtg4VeEUGL7CyK7K7uYzrutTM3teOZdRoiQeMsayqCPGLrC3exfd9qsbxmRXbrNA/NEXBjFAr\n73a9X6kdWDmJooghjlDOb+2/tmexZefnuDB7wFIqqkrR6vy+u67L5cUSZx9/EoBgtI9yrbur18u3\nljl14VJbutJjn4vVBqWWSn9/ClEUKR2pDStV65QcnVTqgFlMD4+wsdvOeFybz3Ly7Nmex0MXy9hm\n+0ZzZGKW7OYBuzoxc4rbbx5YhY1OTHH39oHXraLI/P63fpcrl++Rmvw4NVMgM/MsU+c/TSCUZmjq\nIjOPfwbLC6PGTqLGpvnjP3wB22px++p3mTr9BIt3XiUzPkt/ZhbL8oj1ZZi79YdUzOF2gVTSxWwd\nXIMyOxjeIQ9Uv0VQXCIkF3HKN8kXA9QqNWzx4v4Ni+RtUHcz+L6P5m8gNl7HFibI1ceQlDiSv07D\nG8HzbELCIm7lMk7w40hqu5VqKASK/YDtXYmA0qIpTSF5eaz8ZQL9TyPKMhj3UMInQBvHKryOG5hF\nVGJoYoNA/AyeMY8quzx9OoamChiGse+AYNs2rVZrf277Uesu3qog6ccxjmNWNzY2GBnpPY88incW\nj8Dq+xjvhtfqce1MZVk+tp3pD4sPA1h9t8bw1BOP8dEnxjEMi2w2T9OqUq5DrVpiM+/j1lbwg8N8\n73oNw+j8se+1/aPH+3ADhB+VPa1Wq1iW1faAPKQ9fTvnyrZtfv879/hLX/1fqNtRfESSmQvUytuk\nRs7hORaeHKdaWCc9NMa9m28SCEYJx9rAbv7G99jZzjM827acCh3Sn+5ur5DbXqdu6YxMXWRrZY7h\nyUOsq22RHuzUTSbDNjsrc6xvVhic/QTpkZNkjhhg13fvosc7mVGrtIwe7VxXbvM+WrTbB1SQugGs\nVdkkGEl2va4e42EqKnuFUimkvkuUvBnuzN1la3OjZ4q6ZVWIxLs1op7nUW10Lh/tH6Pkj3Plle8x\nOHam6zMAZm2XvoGJjtdkVcUJn+XKK98lOdwbmAFU621GNtw3xuZODcs4yAjUK3nEcKdPbSQxwE7B\npGk2MOplWlKaZv4Oj83Gu+aeQDRGpdZen+/7/ODuDucuHvigDg5lWM91gtU3F3aZPvfE/vPh8Qk2\nsgfMabPZ4s56hfHJgxuUsekplrfay7iuy42lHNMnOvvKJxJ9rJVs1nerhPsHkJVufWS5XKVFANHZ\nAaAvPUSzttO5nlQKyzi4Ce3rH+LW1ct8/4/+BCV+FpQ0w9MXARiZOs32arswa/LUEyzeuQxAZnSa\n3c0FkgMTIIUJJs/TMFRuXX2ZgKYSi6ep5FcYnX6CUGKGsRPnKO78AenYBoXGwbXueR5BpUhIrdEf\n2iQkLEL9DWqtc2zmUjSZQvSrCIEhBPEgyxUOmoSVXbzaTbKFIJqewD/UFCAelQiwQ6t8l40dCSVy\ncv/cOpWXMY0WBWMSBIFANI3mLlLMlYn3pfGECLI1hyI0kUKTiOYdIrEkwVA/du4Vgslz1HauogZ0\nYrrMpz9+gmAwiKqq+90H97J3tm1jmiaNRmP/zzAMTNPsArWu67abbByZF3/c45HH6vsbj8Dq+xjv\nBKweTe2/k3amPyz+LIFVgF/6u3+TVnWeSnEbTU9TKe9SrTbwpRDreY/VB1fwgqN8/Tv3aDwErIeZ\n1eOOdygUetvs6R7b/aOyp0djaTnLr/8fL/JX/+vv8z//76tsZzeIpU4yOvMsGw9+wKlLX2Lhxguo\noTTx5AiK4nLj9RcZnHiS4EOz96ZpUK1aTJ79BADZjXuMTLT1qWajzs3LrzB54XPEkm1tmmOW0AIH\n3aUauTsMjbXBq1XLs7N0jYabohm4QDjZXk+zskgw0slUhvTufQzr3aBSk1ooaqc0oLS7hhzsBo2B\nYG8fVa8HM2vUK3hyp92OrCjoA5eougPcv3uPws5SBzNk92gDClArrtM/2u0zGdCjhFMnWZmfw7a6\nO15ZVm/9qxrQUcITVHPdrVMB6uUscvTAezQ8cJa11RVcp81wm/USkXi3njc2dI611UVq5QKKX+Xs\nRLCnbi4zPMr8djtt/saDXWbPXuhapt7y9wH94lYZvX+IQAcbHyFbaY/H931ev5vlzIVOWy9dD5Gt\nt9dx+fYKF558tuf+BiJx5ncNBga72W7P85hbyDE+OU2mX6NptlP68cETlPPr+8tNzJ6lnm9rV61G\nmWJ2jY2tMhNn2wWCEycusPKg7QwQiSWpldv2YLKiIgptSVY4lqRWaktGxk88xtbKTSbPfJSGoVCp\n+Vx/9duMzZzHdSxkEQL6INGESz63ykAsSyq8QVRZIeheIVfqYycXZm07TqEso4ZOwKHrNN1nYbUS\n+G6DmLaJ5r5OviSzmeuj4UwQD2xRaY4+PL4eNF7BqNfYKfbRZJKhpEGLFKJXQbWvE4pN0hTaNwIR\neQHHyLJbSqKKdSx/AGpvUq15tAInEBvXcWwTQUtTz94mnJykkV9CElpYdogv/VQa13X3geZeSJKE\noihomkYwGETXdUKhEMFgEE3T9ue1vd+tVqttm7YHZgFM09wvIj0Kant5fn/Y4ziP1Udg9d2NR2D1\nfYxemtVe7M5hz9OjbN47aWf6w+LDAFbf7Wr8f/db/4zdzTtkt1cwTYvpsz/J/NyrnHz8U2xvZWma\nBmriFP/q+ZvUGyae59Fqtbraxx5mT4G3xZ72qtz/UZju3VyZf/lv/pi/+w9e5mu/ssILL8dxPYVK\n8ZuMnfkUkXgao1Fn9MRHaNkWghRgYOw8hZ15asUCQ9MfZXf9DmNTpzEbNW5eeYXBkYOCDaOySzAU\nobS7zuKdN5k9Md0xttmZTpYzHlaxzQqFtZusbJrkawEiqc4q71i0u7JelnsAyx5sqaL0KPBrFgmE\nevg69gCl2fXbBKLd2tZ6YRm9hy7VKK+RyJxHH7hEyZ1m/u4clcImrutSt475HrjWseevVrNRU0+z\nsryC2TjwR221mtSt3gUWvu9j2D5ld4TizkLX+02jjB7ulDXog0+ysdLWpZarx2tkA/0XmV9cBLuA\n9hZdsxquwNxKgb6xyZ72UydOn+XeWpFsoU7ND9Lf333zoEXjFCt1rj3Y5cT53ixxIj3ES9cekJnt\nzT77vs920cbXejsLXJtb49S5NghOxGMoblsSoYX68O1yx7JKIE5h4zZrq3n6pz7F9MlzWI22djWg\nh4kGD87v2MxJNhZvATBx8nHmb73cfv3EeTaXb6MFQvgP5+e+1CCBcJpI6gy33vgBpd0lxk8+gR7r\nRwsNUK1vs7yus76TwHOa1N3zSEo7q+G5Fv0JAaPVvp49x8ar/wDf99CZp1HaYTfXxBFmQB5+uEwF\nJZhCxKQvsIpTuYwWnqHuzCCKIoq/Qb3VT0xcpFbKoahBbKH9WdFexDQFKq32d1RTLZzGJmV7ikhE\nRjTuU6xHkINRaoVtVLWFZVg0ysv4gREujGRJJcMd8/GeBGmPTfQ8bx/M9gKae6BWVVUCgQC6ru8X\nkGqahqIo++s7DGoPs7V7TO2eBOHDBmqPkwBAWwbwyLbq3Y1HYPV9jl5eq57ndbQzLZfL76vn6Qft\n+QrvDWD++r/8p2yvzOHYLvdu/AmnLv0Mc1e/z4VnPsfrL70AokqlqfCvX9iiWGpr5sLh8J+aPd1j\nun8UC7CNzRz/1796kV/8R6/wn/+92/y/v6+TKzSIBnbwPIfl+W8xdvKT2EaDaF+GRrVMLJnh9hu/\nx/jJdmp/Y/FNhmefQxRFmmYBu9nk3vXXkUSPgdGDgpWzpzLYlSWqFRM9PkU0ecAAGLUcvnqocKrZ\nYGtjmZXVEnX5HMHoMNGgg6R0MqFHNafV4iaS3smSlbIrqKFO8Og4Dp7YA+j2ALD57SWUcDf4DEgu\nstINtvRjWFjJMw86eKkqaupJtmpJrr32R8ST3XIEgHqjNzg0KttoifaxDaQeZ2UtR73cTk/XCpuk\nx3oDuEZ5k2D/WQKhBHmzj0qu0we4Uu/NyLZCp5m7+n0Cydme7wOUd+Z4+ulniMT7qFS7GzLsRTDS\nx0bNIxbrbnEL7e/kbqXJUrHF6DEsUWZ4lFfnNomkBlHV47qHyewaEpFI7+1cv3WfiRMX0CIpCqVO\nt47VjTyJVKZj3htOBTDrbWmBHBqlXNgAwHVaVMsFNraraPH2OZH0YQTj4NhGBs5S270NgB6Ok+lv\nr1eUJMJ6AMdxCOoRrHobBI+ffIylO6+QSI1Qya3Tlx4HQUfSR1mYewlVUZg4+TGSI49RLXydeGiT\nipUBQcZxLFrGAkGu4blN+oJrRKQNaN5BC51hK5cmVxnEE6Mk+xQsp91UwPdcQtI9JL9IrZhnPdtH\nX7Ifw2nLXzzXRnJXaNZ32CymUSUHwx1BpkrAvUNQdUF/rJ2iNl6lYfdjMYnmXMNtedS9U4SkFQwD\nzHoeD52WK6AnpsiEcvyVv/SR/SzdHii1bZtms7n/dxxoFEVx/1wd/m2zbRvbtvfXeRjUyrK8D2qD\nwWAHU6soyn5moBeordfrXaDWtu33BdS+VbHYI2b13Y8P3rPoz1kcTZFA25BfFEUURflAfE4Pe75+\nUFYbhwHzu7XvsViEX/k7f4lf/d+eZ/bcc9y9/icMZsZ5MPcaY7NP8ObrL3Phiad5cPc+//cf+ExG\n7vOFn7m0X8W5d1z2xtZqtfbv7g+fr3civ6g3DK7f3Obl1+6xtBlldUvCRycdLxFUDKrOKPlqP77v\nU9r5BqFEGh+VWLKPQnabdGaUe9dfJNY3hhYMM3/zJfoHT6JoQTzHYSClY5ZWyMx8jJi0uD++WmGZ\npruNJZ9GjSQQKzdQQgc6RLm1hRa6iO/7mIX7rKxskhz7SRT1QOMqHwElpex9+gc7J2bJKaDpnWyn\n7FfR9M7l8ptzDI53p6BFpYcHaquKGpjuXlbuzR76Ym/wZFo2R1y3CIZiiP0nWNtukqzcpm/oJNJD\nQGvUi0h6b+cAt1kmcEhvG0qdZT23SsZZx3XsHs1c9z5XQw23Nb56dIBs2UaUN4kkhqmVttHivcFo\nIBCmQgK/VQO6u3XVS+vMTg2ih9q+uGtLc5yPdi+3mS3R8GN4Qm9QDO1sQcGEM+PdcoO9KBTKVLwQ\n0Wh3cRuAYZosbpRJjpyhXKkRj3WOZWOrQDg5jiwrpNIZVhavk0y011Wt1dmttpie6WR0o9Eo6s4m\n0IeqJzBy69hWnO3Ve/jhSwS8DSyzQiDYXo8YHMKoZtGjA0hKgIB6cFaE0BSN/D1C/acYnn2Sxu6b\nyOlLTJ97kq3FK2SmnyIY1HAcm9Hps+yszjE6c5HttfsEolMUdu4hSCLRRIrW8CmWFr/HxMRfwLJ8\nLMtlMOlRqF/EKLavJYkC0egwVfPAWWM4VaRqxukPZ/FaFrXKDoZ0gUZRRZAhHlyn1JxGEcvEAjWq\n5Q0a0rMICHiOTSguoClb7OQkIrqHKUyjiBV88zZi7CIOMUR7EY8YBjM4lVewwmPIBAiFA8hqFN8p\nE5B9/quvPoPSQzO8F4eZ1bd6PAoQ9+bSw9rXox7Nh7dxeD49bAF1uLXp3nJ72zv812q1Op4fHsPe\nOo7O8ce1TT0u3opZ3dzcZOyIhv9R/OniEVh9n2NPv+P7/n4qZO8u8oOMDwNY3Zt43i2w6roujz12\nhs9+/C6//+IPGJt9nGKhgOc6yEoeJRDj9o2bRGM6icxJ7i4J/ME//D7nT48xM2xz8XyG6KEOPnus\nwWF98N5E91bh+z6ra1nml2osrJrcv7fI/VUNXxzE9wfojxaJhwyK1QFylRS+75OMFhAwuXP7NYLR\nIOH4MKIg0HJAEBxKuW0iiSn6kiHW7/0ABZOhiY8BUNp4kUQygxs4hW2WcGJ9KIDbMjBzdxBHP4P6\ncJKNRjpBYSgcwK5tkc9u0gqcJ5EwO4Bqo5YjGuqsxo+oNorauZ6jbgIAAa093biOQ6OWQ/RtWo0i\nZmmlY7nC7iaxRIpKfp1AuA8t0N5+INhteWVbFkjdPqqF7aWe1lRWo4wj9Ta7rzeahNInMYDSg2tk\nhlKEE8M4ZpFIore5vWE0CR9RK4QS4+xUdmkWVxjvrgUDoFZvET40bD0+ylZ+lRFhB9usEoiO9vyc\n53kYtsZWts6oUkE95IDQKG8x0i8RDh8AwmrN6PpRzeVLbJdgdGKCvKJSKJZI9nWm4H3f59VrS5x7\n8lOsL1xjINW9I4ZhcG8lz8VnforF1VucPjHatY5bd9eYOt3upLQwf4MnLxyMrVZrsFuxGZ86KMhS\n9QSFUpW+eITr97Kce+wSR8NptahUCgSEPHq0n5ance/mVaLDzwEg6SN45RsQbEsHpGAav3wTeMj0\nh6ep7dwgMvgYkhIkqB6AmWAogW1bqGqAoYEInucxfvJJGjtXCfRdQvDrKJqOLInE+0ep5jdxWhbx\neBIn6VAr77Kw8DrJ1EfIpD1y1UnYmx78MgGtitkwSegVVFWmUd+mWAjTaIapVyPoqoGgnsb32t8f\nr7WJoDeJSivs5HXcoAXqOQQEfK+F5l6j0chQrI+Bn0fU0sTkFbazPoMDGWqORki8h6BJWOIpZOsq\ngb5ZZAlcc51gdIBaYREtPMB/9oVxohGdt4rDAO9oHL2h32NNj8oHHMfpALZH17m3/OHHvW0fLtTq\nFXvL7mVODgPjw0D68HgOA9uj+3gU2B4e53G/VXvH4YP+Tf+zFo/A6vsciqIQDof3wU69Xv/AtTfw\n4dCt7o3hnUodDk+WexOQoij8/H/xH7O28S94sL5CtK9GMj1KvtAkHLTRQhnKpV2qlVeYPv9xwOfK\nmw+4en+W5//wGtF4hrEhgbBWY2JsgERUJBTyiYR0gsEAoihiWRbVqkG5amDZMtWaz27BZGMzT7UR\nYzPbJKhalKsuTXcYmCSklwkFttku6BRqbQY1ES2iynl2sg3kaIjV1TdRNBctECU5eIHSzk2GZ36S\njXu/w/iFv0KfuoIS8DFCU4yOVPEFAd/OEQrF8YLtFp1BtlD0i7hWnlJ2jWhqBv/h8W0aFQKhxD77\n5zSr7Kw8QIg9jaY/hghd6fU95vVwHNU7ep6HJ6g0zRqumQevhWk1ye1soW43MZoi4f4ZVDWAqDXJ\nNzvtrRyvTtk7iWd6VNZXkLwqelDEMXIMOQKCrCCqUULRFMWdu6RGO4t6ACTfQA10d4byrRyx/m7W\n0qzuIgQOmGAteYn1fI5Y8Tqu26Kvh3zWapTw1N6so+8ZWMHHKWzMkRzpNP2vl7aQYzNdnwn1jbO5\nO49vVek/pg27WVohnH4MURTZ3rjG8NRZZFmlUd4m0+cTiXR+8NT5J1lcvs3sdJvRrlbrLGxZTJ1o\nyxP6BzKs3L/aBVav3Fhm+kybcZe0KPW6QTh8AGQ8z+PKjVVOPf4TABQbTteP941b95g4+dT+c0EO\n0WgYhEJ6u2hqfosTZw9YfYD00DgL92+gbJY5dba7oA3g5tw9Tpx7lo2NDey6R67oEAx2Sgx8bYh6\nZZtwbOjh82HqpTXCiTEkSUHVAvtzjaBP0cjdJpQ6ixSexN69DqnHkSInqO/eQE9dJBAbxDBKjMw+\ni5m7wfD042wvvMTI7BNszF8jt7mK59YZO/EcG4uvUyv+IankT5PQ87geuPYWSElqjTSCpGNWoD+2\nQa15Bl9QkWSQhAJqMIrR2CEZVWnZBi1RIF+dfgicSgTDMZqtFgl9nVJ+G0+/QMtvnxddXqBlDFF2\nxumLr+L6UTCXcTUPPzCCbN4hGI4iiAbVUoFIVGd7c4FwOMzpkSbnTh7f5OG4OApQZVnezzi9nXn8\nKHA8/PhWoLYXE7r3fy9Z29HftsMA+PBn9gDyUWB7dGyHt+m6LqIo8vWvfx3HcRgYaPvo5nI5+vv7\n35d25X8e4hFYfZ/jaLeod7sxwDuNDwNYfSddpPbkFHt/e5NlOBzen9Q8z+N/+kd/h6/+l7+C6w1R\nrdTByxKd+Thby69y/iNf4dof/2sGxs8xceIs+Z1VqqUtLOkcirHAK7emCGsCL13JYnoZYsEcpVIV\nx48R1S1sq4zhTiKJDv2RLXaKOoKUQBHjxPUilVqYmjwEfpN0fIdSxaXRHKbRjBMKVgkqC+Sz2/hK\nHNtLI0gJbs+9iKB4JDMXSA6epLRzk5lLX8bOf5/xs18Ez8E0ihTNE+AUcORJJHuL7dUl+ocPClnC\n4RBufYXsrknLVgjEh/bBqWSvoA48ge/72OX7rK8skpz6C/sTuFndRo2lO1LZkSMm/7bVQHnIbNpm\nFc/KUciu0nIDODJE+tqpsNruDWLDn0QUJfb40UZ1m2AgydGk457MQBRFEul2RXx15zrhgU9S8kSw\nwSwU8JevIrYKBIPzyIFkh6WVovaWBritZk+hvuiW0aOdIFaPpjBbUbYffJdAdA090ZnWsxu7RPtO\n9dwOTgM9PE7FDuEsXyM9cXH/uHp2lUCotwejKAcpmhpRq4Ia6E6tt5omot7eAyVxifz6VVQ9wfiA\n0jMVL4oiuYrNLGCYFnOLu0yffrLzmAhBWq3Wfvp37u4ifZlZZLn9PDM6w/LyVc6fOQDYl9+Y48SF\nj+0/n5g5x8LyfWan2vu1vJYllJxBPGTLNDo5w4PFm1w8N8a1G/eYeci4Ho26DRFd29/+4Vhe3aR/\nuH3MBwcGuPz6TbS+SzgtAzt/n1B/u5BQCqYRqzeBNlhVgkkEawton0MpOktt5xqxzJNIioYqC3iu\ni1XbxGxUQLyNLMk0GwVU9T6+qGLmb6ONfZpAOInZrDM0fpZatcyl7wgXAAAgAElEQVTMiUmKFZmN\nhVfJbdwhNXyGHdth/v4fEAmPE4vK1MwErmeBUMb1GyT0BWrVQWKhLKoq07JKCHIQw/Cw7AE2dpsM\nD0hU6kOIIrRaJjH1HpI3RqUUoFEVSCRPUG8GiajbeNYWVe8sMhG85gKeZlOs9aHIKrrUolHOo6ku\nrtNkNycT1aoUqkkUyWM46fE3/+rHuo71cXEcQNV1/UfOih0GnG+V1Xsr4NgLSO7N/YfZ2sPb3Hv8\nYaD2aPbs8KNhGPvZUc/zKBQK3Lp1i+3tbebn5zlz5gzVapV0Os3Q0BCZTIZvfvOb7xi8fuMb3+BX\nf/VXuXv3LleuXOHSpe6sA8ALL7zAL/zCL+B5Hj/3cz/HL/3SL72j7X3Y4hFYfZ+jl33Vnnb1g4z3\nuvXr2x3DD2OZj2NPNU1D1/WOdM/h/REEgX/7W/8jn/3Lf5f48NOMnXiajflXGZy4yP3rf8Sln/xr\nzL3+TR7/yOeZPfcUKwvzFHbWqLkn6NcfkDcmUGWFqLBCxZwgGNJRyFK2xkBIMJTIsl2MkquNEA1X\nkVml0BglVx8lGq0SkDbYLfeTqw7hOSXC8mVcT4CmS7YcRQp8hGLDRBLrbCx/HT02TDw1xVBmjKC8\ny9DjP4PQvIuSPIWvRjGz38WPPY6i9dEXLSH6RXayJv19EUS1zTIZlQ18f5uaN4kaHKcveB/pUEo/\nGgngmAXK2XlM8Qz9KQsOXZ9BMY8SPABVnufhCnrHpFHavEI6PcDO4i4VK0IwNoosVwgmO3WosbDc\nAVwAZCeHEuzskGPWC8hiogvARkIKwqFJPhhJQiSJU12gYE9j5LOExOskohq+HACCHE3CeZ5HxWjR\n3yM137Qs1B4ZULexQXLqs6znc/TXbxIfOo30EEQ5drOnJtX3fYoVk2gQFFXDki+yMX+F4eknECWJ\nStUi0k36tsfYqhBMXSS7fouh8RnkQ4NqNU3KhsrhTG3NSRM1skji8axYIjnITnaXpa1GF1AFmDpx\nhvnlOc6cGGVlfRMhNEIk0gl8q0b7xlCSJO7eWyI99XjHj64sKxSqLWaBQrFCxZIYHu3naDRdiXsP\n1kgMzvT80a7XathEqTS6tbSVSoW6JZJJt8cmKwqZkTS5uouk6EhNtyMz42lj1IurhPse6qT1ceqF\nZcLJybb8KhTHrGaR3BLlUo2d279DdPgziPKTWPmbuPoF0EYwtt9sM5iuS/nG/8dAZphG6RbhoeeI\najs01dPEAzfQzvwkzdoG2c07hCJRPN8hl59D0j4LcgbJM+iL5nF9gUrjEqKoYFUhpm/jiaM06u2L\nwveapGK71OsK/ZEN3BZY5Kk5T9Eoi/iCRSJeQJNFmo1tzJYM6mkkQSEiL9HCpeqcxxMaiK0b5GtP\n41lbSEKdIpdQ/ZcQ9Ito1iLJvhj/zc89+0NB5l76/t0AqO8kfhRQuzfeHwZsoRvU9mJs99Z5+PGw\npdfe49e+9jUEQeC1117j29/+Nr/+679Os9lkZ2eH7e1tcrncn4plPX/+PN/85jf5+Z//+WOX8TyP\nv/23/zbf/e53yWQyPPXUU3zxi1/k1Kljbqp/jOIRWH2f491oDPBexDthNd/t6HUsDuuKfhh7upc6\ngs7Jbc9exXEc/t1v/UO+9Df+BzzXZmTmSZpmDS00wM76A6bOfoIrf/wCTzz3afSAQOLcGRbn7lD1\nTpEKL7JbG6AljtGnL5Ovj2MJY6SjG+wU4+TqY/TFi7SsTRrNYXw/QjqepVpzMS0dLawT1+4hiCqO\n4FIzYtheBlkOgFjHM76PLDssL80Tjmc4deYxIhEdRYOAPgReFtOqo4bPIxp3CEbHIJDENotUzTwN\nL4SkDiEoWQA8x6RVnIP+T6A+1IqKygFCalp1qtklWpqCGrqA59i4cqwDfIX0Th1qIz9HavQCLaOA\nZ+1SKDSQpRA5axo02Cu+l3oURwly92u9qvV9Yw0lfbHrdcRuvWqtsIQaHECmXaTkM0DRg9LSZfSg\nzIBjoEaGUB8W2hjlNeJD3anlVtPAdIL05GLdtg9vMJyiQYra4psMDY8hqmGMltYFiAGs6gZ638F2\nRFGE2DNsLFwh1pdCinYXiUH7hyZftIgMgBQ7z87KVQYnz+9LMezaBpFDEoZmPcvEcJB4/HE2165z\n6pgip9TAIN/9o+/yiZ/+XM/3ASqGx042T9HQGB7r1vrOnL7Ig4XrxKIxXC1NqIetWP/QJMsrG+yW\nPaZO9k7h96WGuXfnFh997lzXe57ncev2MrPnn6FUyLK7WyCdbt9ZuK7L/OI2k6c72aTx8RFy11Yg\nOIGnz2LmbxJKP9SqanFEe3N/WVmLIlhtX9ZWbZV6pUwue5/gwCdAGSWZSWC26qhyHFedoFldRItO\nI4YmsOtrKKExdLlKwZxEVNNs3X+Zvr4opv0SodQTeOUlQuEw8YEnCYfuYSeTrMkqC3f/T6anP0kk\nNoYeSiIKEA1VqNez+L5PIJBEkQ1iQRPDKuL7EpVGP44fo2I4DCWzNLzzeE6ZcLAM7FKpjOIQR8Ih\nHFEJB4sUCw1kPUDdnSKurWN7eWztpwgLK4gBBeRTaOZVQqnzVPJvEooN8fNfvUA41KOYkQ8eoL6T\neDuAFt4a1O79HQa1h4u6oP2dLpfL3Llzh8HBQdLpNDs7Ozz//PP83u/9Hl/84hcB0DSN8fHxd8UZ\n4OTJkx1j6BWXL19mdnZ2f3tf+cpX+Na3vvUIrD6KHz16gdUPmtHcG8cHDVYPg86j7KmqqmiaRigU\n6ljuKHu6tx97E6zjOAiCgCzLBAIBQqEQf/jb/yt/4T/5ZRzXpX9wimhigN3Ntv1NMj3K7TevMn3y\nJJura8w+fpGl699FktPo3hVcRmnYUQL+FarWKHknjq6sYhg2njqKqoLoXANJxrGjOFaTcMRHFsAm\nRq4oIykDuF4TXbqL71aQPJF8dRPTMJg5cZFkKoEnBQCfZktFcW2yxRCZ4SkEa45avU4g9Qz4Pl75\nKo3oJZRAAt+4DX2XwM5Rya6ixyfwH8pOmpW7hB/KAzxri9LyVfThz6DuXY/GfcTYARCwrRqqFttn\nOF3Hwjd3Ka3foGj2EQhP4Gkeor/ZkVZvlFeR4gMdE0u9tEI42vma4zi4fjdADOrd8K9eXEXT011s\nqyY0kLTJruXj0TCufpq8DebSOv2RFYJ6CNFr7lf4Hw7X2CaW7taQep5HuWZ3MJli9CKrG2tI1lUG\nTv5M12cAaNWQA91pfiH+FMsP/gMjp3+658ealVVCqQOmWYw/wc7S62Rmn0YURerVBvLD2rBmPcvY\noEw01gao5Vqrp97b8zwuX71DpH92H3D0ikisj2t3Fnni2U/2fF8URbL5JrWWyfh097ECCEdivHT5\nFT7505/tvX/NJkuru2iRDLZtox6Raty89YDps22NayI5wOrCm/tg9cat+0z2YIUts0HLzCGKKRQt\nhKhGaTZNNK0NwLzAJPX8XcL9pwGwHZmt67+LG/kJFPU0el+SZiOLGhrAVYbR7Jv4xBGUKOHADk3P\nQ5QThAM7GJ6HrcygNW7R0s6RSI1RsRJoco3iyqtomo0pPUl/bIt64HHqxRWmxlukU/8p9+deoly4\nT3PoNMHQAAIOlh3EsGTERh+irBEPreP4Q1TrAo6ziyptE9XryNIE8UCWvCkQ0KDQeBpBELDrD0jG\na1iNYar1DKmYiedrKM59nKaIq0yhcx9JFlDUMNXyfcLhMNmtW6iKxOc+qjMx2plmOEwMuK6775X6\nYQao7yTeDqjdOxa2be8XHx92M9jY2OCf//N/TjabJZvNYhgGyWSSyclJ5ufn+drXvsaXvvQlPvWp\nT71fu8Xm5iajoweFjiMjI1y+fPl92/57GY/A6gcQhw3wD1dKfpCTwdtJwb9Xcdhkes9H7zj29LAu\n6Tj21HXd/c8HAoGuH3BVVfndf/uP+OJf/ycIgkK9UmRw9ASrS/cYGZvC92F5fhFVsgmE4sw+9RdZ\neOMPKVnniAYtsPMU67OEgxVUMU++MoyqCChijVrdoGqcRAASkSr9/TKFokG+MorvlemLlpGkFRoN\nl3LVIKhCpbpGKNTH1Ikn8T0Ti1k0Z56G/0lU808oeB9lMJnFszbI1ScY6qvQ9Bwk4wZ6YhpHaRfH\n9PdH8Jor7O7a+K6Pq07uA8n+uISPh1O6wU4pSn9qgtah6y0a1jqLFaxllL6LOEYO39phu+ARDY1g\nSJMEHlax2+U7aAOdDFlIriJrU52vSXXkI6DSzM8Ry3QWRnmeh+sHukCpSgUl0M1MKIpKr9urlq/t\n73cwNkoDqBkepaX/wPgMBJOzyIfsrjzH7KljtaurhFLdtlqB2BjNVpHC6lXiw2eRjzDJlWoTvZsI\nBkDUMuTW79I/cgpF69QCeK0GonZkJLGnyK1eJZ6ewRRSRIBmfYfxIZVI9IDdnDn9BIsLt5g91MrU\n930uvzHH6Il2EdTi4l1Onuw8NwBGo8F61kDWjrEuAEzDoOKEiKrdNlh7cePNNxmYfJpiMU9fX6cE\nwPd95m7PMzLbBpyLS3OcPnUwltXVTSLJsY7vaiw1weZWFtfxiA9035T4vs/tm7c49dhzLC0uAyHQ\nJ/ArNyDVZuclRUeUPNxmDbM0z25tAD00DmL7/PtKmmDrFu5DpwBPm8CpLaNEJmkpM4j1WxB5DFs9\ngVSbw9fPQXAUt7GJHRwnosxhcIpwtEKpOYqSu0IgOYBrPCCeGqNcCKG27nD+ic9SzK5Qq2ZptUzC\nkRSmYaAFkkTDmziuit3SabZMBF8mqksE9T7K9ZPUdsF1Lfoja5hWiFRkk2q1TiwVo2qdwvMc5NYP\nsJqDVK0MulwmGPAxalVEtYKsxNnZrhIJNSkUPRTB4Wc/Nc1f/Ezbn7kXQD3cjerPUxz2hd07Foc9\ns33fZ3Fxkd/+7d/mO9/5DuPj4/z9v//3+exnP4vneezs7LC1tcX29jbb29s/siPApz/9abLZ7P7z\nPVzwa7/2a3zhC194t3f3xyoegdUPIA6D1Q+DxynQofV8PyaoXuzp3oQQi8X+VOzp2/E9DYdDfP23\n/ju+9Df+Cf2jT7C1vkgkEqZYaiLYZULpM1j1HAs3vsOpJz7L+LnnsN74LqYVw/XHyaSyFEsiljNL\nf7yIRJXtXApB6icZLRLQLDa2HeymRzIepG5s4rgKLTdKsfCAUEgkqrv4iGSGzxEMJ/A9AzF8kYC4\njaP9FJJ5mVboOVwrR620RSvwUSLSPC1xFr92C6sFcnAcATCrq5QamzS8k8hqir7gKs5DjajnONTN\nEk7lDi3lBD45bKF/31HHcWw85UAC4Ps+LTNHZfMNikYSLTSF07qPLQ51yATiEQn/iA41GAx2AUhV\nUzl6GxSNqF3nqJa9TTh9uutc9equZNZLCMS6gG119y5atBvYuM0iSvJZiq0U7oPbDKYCqLFJJEWj\nUm2S6FF9L3pmT42Z69hUGwKh1GOYy3cYGB5CDbVdAczKJnK0t0eqXdvEC8zgB0LkNm6THplG1trg\nz3FsilUIH2kSJYoiTe1xlu/8AanZz2PVtpnIaB1AdW+5Uu3gKPu+z+Wrtxk58RP7+1Cudzc2aDab\n3L6/xujMJXI7a1QqFWKxTjmB02oxd3eZqVNPs3r/KsM9XLUWF5aJDZwhFImxuvBaF1i9dfMOg5MH\nrHHdFmk2LTQtQLlUomJAZqwTLEdiCe7fuEUimWZkohtI3719l7GT7fatw8MDLK/sooXSCNoARi2H\nHmkfzJYjsDr3fQLpT6EEwPZjCI0bEGsD2pY2g1e9hxw9hSBH0bWHjKooIgaHMOu7qOE0kj5E3cyh\nBFNEArvUPQ9bmkI0FzGVWaLiLWr6M9Rrd6g1VHx/jbAeQJSfwK6vE0/2EwhEcF0bo77LwNB5GnUD\n24kSjmhIOFTKqyhaAE3vQ5EFQloBw8iBGKRuZXD8CHWjQDwWpWmZJEPr1KtZnOATlOsuqn8NlyAF\n43F84xWaUoZaziIQsHAdj6DW4qc+eoYvff7SfleoP+8A9WjB2NFj4fs+q6ur/M7v/A4vvPACg4OD\nfPnLX+YXf/EXCYU6bzgnJyeZnOyef95ufOc73/lT7cvw8DBra2v7zzc2Nhge7u7u9+MYjzwVPoD4\nMOpWD/ucvhexBzr3unSVSqWOLl2xWIxgMIjv+/u9o1utVodm6HDXqFqttq9fDYfDRCKRH7mhQl9f\ngm/+q/+e/OYNjFoR149Q2LyGnnyM9XvfJz12EQSN4s4y0b4UyeEJkpkIIWmeYiODEoiRjm1QqAjU\nrBBxfZ6weA2nuUSt2kBVNJqOTqkq0moJSOzQMu+ih1REESRZIahHUDQVSfQIxceQ/U18bQbRvIIc\nu4AqtwiJ27h620NSlpqYxVUqzSn0SBvUC04ZwVzAkp5CVmO0rBwtsQ2ePKeBlf0eVWeSltL2Co1q\nRQT14MdfMB4g6iN4novfmKe48gotYYKGcBrtIQjriwpdXauOdp5qGiWafifQaVo1mn4vJNgNQCO6\ngCR13j/bloHtd/uoeuYqit5dVBSQbKQebV41igQeIkEpepZcc5qVhQds3vse+jHdoKrHdJHyjHWC\nyYeOC6EzbGzUMQrtnvTtxgW9q6cEp3TwXugs2Y0lWlbl4cdWCad6tyOVJAnDjlHauExEq3UB1b1I\nJAcpFEr4vs8b1+4wNPVkB9geHJ5ke+uAtXEchxu35hmdacs/UoNjrK7tdqzT932u37jL6GzbYirW\nP0I+l+tYZmd7hxZhQg+LspTwEKVSaf/9tbUtAvGxjur+4fEz3Lu7hNNqcff+CpmxbmmB6zg0mgG8\nHi12d7a20cKp/XVqAZ1oyMXzXITAIKqzjes0aWSvsl2ME4jN0rTaYxIEASEwSrPR1rOKUpBAQMOx\n2/pkW56BersNq6ekiaiF9niUNDGt3TmrKc+iNO8gSDpBPYJrl2kpU8juMrY0TTAg4QgjFHdL2NXr\nqHofij6NHk2ih+IEI2nsZgVVdXCby9hWCbtZJRjK4HgxtnZMVjYk6rUdKnUf2xaJ6lVC0g0SkQam\nqVCzRrBbLRxiJENFAuIawdgpFDWM7l5BjcygySahgImMSKtlMT0i8cXPzFKr1Wg229f34danH6Z2\npu9l+L6/39K8Wq3uu2FEo1F0XUeWZba2tviN3/gNPve5z/HLv/zLTE5O8u1vf5tvfOMbfPnLX+4C\nqu/3+HvFU089xcLCAqurq9i2zb//9/+en/3Zn32fR/fexCOw+gHEhxGsvhfjODwhVCoVarUanucR\nCASIx+NEIpF93dreBKmq6v6kaVkWjUaDWq1GtVql0Wjst+zba8V3tIPJjxqJRJxv/j+/RHHrJqXd\nRaKpc2TXrzMw9UmW7/wxoyefY3P1PhuLtxk7cQlFEYiPn0Hx7uDU3mR5OY8qVEiEW0hyjIo5RLX5\nODWzn4DmocurBNQiqgINqw9RlgmHUni+ixIcQgsE8YV+JBnKJQctEKXZKBKND6GJBlbhVrsqGfAq\nL1Ox4jSFcRRvnqY0geqskN9eQIue3r+ukqEKgtKHbK9Qyy4Rio+iBA58NAPBzklWD7QBa3H9GtvF\nFB4yBI7cjR8BpmbpAa7SuYzYXEM50k7Vqy+ihoc6Xqvml3CVHh2hpO4SJ7tyHyXU3QI1eEzP+56d\nr4Cm3Q08legpkNNkV5cw83c7rv1mdRM50hvECq7RAQKV8Cjb5TTFtauUK/Wen/F9n3KlcwxC6AzZ\n9TVaZpFW0+z5OQCnvoakD5GZPEe1Uj12uWR6kLXNEq9fmSM9frHL+ikUibOdbbcR9TyPq1evM3bi\nqY5lWn6b8dyLmzfukJk58EKNJwdY2yzuPy+XymTzFn3pA41u/+A4y6vtlrPFYolSA2J9RyhjwPKC\nvH7lFrPnP9Jzf27fusHoiWfZ3S3hHHJMadRrZPNVEsnO62poZJTSThtkmm6Ijbt/RLl1ElmL4Moj\nhDkotvLlJGHp4Fg66iRq6z4Agigi64PYZr49Tmkcp37/4f+TeMZ9BFFECg3TMjaxxQzxQA6kMHq4\nD7fVQAwO0WoZRJKTOOIsrrGF7GWxnRCR2CDx5CSe7+G7Nr4gUK1btOw62ewyjlNhNBMlrFsUjXEc\nTlA1EsiSj+nOspv3EPwSIelNfE/FbGXIlx1U1UXyG7iOhKjqSIKH69axnDBNq8CpyQB/7299hmAw\nSDgcRtd1NE3bz+jtpb8Nw9ifc6vVKvV6nUajsd/S1LbtfUb2xwnUvhVADYVCKIrC7u4uv/mbv8kX\nvvAFfuEXfoFUKsW3vvUtnn/+eb761a8SiRwvg3mv4/nnn2d0dJTXXnuNz3/+83z2s21t+Pb2Np//\n/OeB9o3tb/zGb/CZz3yGs2fP8pWvfIXTp7uzVT+OIfyQC+3H4yr8MYu9FPZemKaJ7/vo+lt3D3mv\no1aroWlaV+HD24099rSXB9/e3fvh9P5hKcRe9NKe7nVC2dvGcRWc0GlFsvd49LVezGuhWORLf+0f\noydmGBh/glazRnJohtL2XaYv/BSLt14hGgsTig0gaQlaTYMH15fRRItQwGAnJ+ALaTx7iUS4higH\nEZDRAlFaTQvXK1Or2WgBBUWLUauVSSTTVGre/8/emwZJct5nfr886z67q/qe6bkPDIABMCBAigKX\nEEWKIiXeBHYda8srmmF7w6Z2V0s7SNsKhr2xwQ1KCjnCDluyKZvSB2lFgAQPyaTNBUmBAAgQMxjM\nPT19n3WfWXnn6w/V3dXV1UMOKBIzIOeJ6JiYyqqszMrMN5983uf//InpNWztYaLieRz1QTLRMqFI\nmI1KgvERj04whuJcQVYzOHLXu5mJzIMIKNRHGIpt4IW73tEgCIhJV5ElmVJ7ArwKyaERJLU7yLrG\nHPHsPhQtiu91kDs3qNUMtHSvAj8bWsJUe0qXXb9GfPgwstJTuELOVUj0970Pudcg3q8OutWXEaEx\nVDlAkQQSgmZ5lnR+uns8N80IptEmCDy02Ah6NL9dAe/VL6Cm+yvLgyDAqs8TSvX7L9u1ZRQtgbYr\nn9Szm7RbdaKp/qInIQSdwjm09P1dG45zmXw+i546iFu/ihs6NnCe+J5LdfUysdxgNbtvbmC1Fsnv\nuwc11B9SbzcXMP3RPQu87Op5ZEUiOTqYgiCEoL3xIgeOn0HTQ1RLK+TSKunM3v7S5579DidOP7Kt\ncu7G+socBybiXLo8z9TRh/e0OZSWL3HyxGEuXrhCLHeYSLT/Bl1cW2DfeAxdU7l0dZmpQ4O+3sLq\nLONDKgsrDfYdGVwOMHv9Gr5rcer+weXzMzNo8UlCmw9WtdULnLr/BEIIXn7xRxw+9daBz8xdew0p\nlKdTL9Ks+2iKi6cfQt4aO3wD7I3th5DAt5HMWZTU5nnsVrrFWfHueaJal/DC9xD4Hk7lRSKJMVRZ\n0KotE4oMoag6jcoi8fQBbMej1VhDSz9KNLhBzZkmphao1iWSUZdqTZCOVKm1NHTWcMwaQj+CItqE\nw2FKxRWymVFc16VYdgiHE0QiElLQQqKFJCeR5ATNdoDnB4wMS6yXNdLxNrKogzZG0xpBcl8lOzRK\nraWTihZxHZBo89aH9/OpTz7+uqKT9so1vVkE1O4xd69/X287058FtoQPx3EG7kdbQke1WuWZZ57h\nmWeeQZZlPvKRj/CRj3yEbDb7S2eJuEOw549+l6zeBuwmq1veoXh8cLrzjYRhGCiKQjh8k+qQPbDb\newpsDwZbU/J79YveGri2DO27vaeapt2S93T3ttyMyN6sE8rOAVUIwfuf+Cy+mic/cZIAhWQyi2Wa\nDI2M4PphnNYCkgyTxx7HNltc/N5fEA9nQI7juj7hkIamKYggoN0qEwiPUDiF7UXwnRXiiSyObSOp\nYTQ1QAnlcBwXhRKW8giBvURYK+CqbyGpzxNKjGA2q4T1AEfv3lSd5itEwhEc5TiB5zCUbuHKUwSB\nj1f7e4Q6BaFu+PlQZBFb78WWJOQbuPp+dHeJQslFV2yI98igbZZIpaJIWk+JjQbX8CP9xDQiFgjC\n3QimIPDxO6v4xgLJ9BiOY2OYLo26hSRLaKl7+26SUeawlf74JtW+jB+5h8D3adfniWgW0YiKZxYZ\nHtmHrIbwpSihxDj1jdeID98zkNtqlc+hpge7WUmdG9jaYGGR31nB9jKoeu989xyThDJLEDjExwYJ\nkducxZb37XnTlzpXaYtDCHOOkdEU6o7gf6dyse849MG4Tr3lMzKWRw73OmIFQYBZu87BI8eQd/jZ\n12Zf4d5dBE8Iwbmz5xmauA+jtsjBI3tX7AO8+OzXOf3ou7ebL+zG7JWz5IeSuHJ6T0UUYG3uPB3T\n5PA9j+65PAgCXnr2ad76ro/uuXxjdYW2JeO5Ngf2ZUjsiN0qFQrUmh6ZXM8cW1qb4+C+JItLq4zt\nPzVw7MvFdZptj/TQJKsL16i3skiyQsi9hIj3vLK6t4gtjW0fc81bwRQp9HDXWqHZV3D04whrlcBa\no9Ns0LTSKJFDJOTrtIOulSYuXafmHESSJOJcoeUfR5PqGLVLZIZGsY11UvkjNCvzOOpDpCMlStUw\nmViNQkUjG6vRaoMUFBC+RyDHkAODWrNDPJYmpAGoKIqOpkcRAjzXxjAKxON5PGJU6hr5TIOW4TKU\nTdBubuBJQ0RDNrbTQtUiOGaJtz08zb/85+/7uRGvWwnqvxmp3YvYbr3vH7I9W5FbruuiKAq6rm+3\nfgWo1+t8/etf56tf/Squ6/LBD36Qj33sY+Tz+bsE9fZjzwNwt8DqNuDNbAP4ceppIpHoy6N7PZX7\nW8VR/5DQZEmSbilfb6/BdKu139N/8Qf849/9N6wtnCeZGUeWVALfploJI9wlJo79GgsXv0Vx+QL5\nqXvZf99vsL4wh+KaJOJhatUKZqdKIhlGUhJEw1msThFV9bGk4zQb10ln81QbIVLJJprsIWQLk/tJ\n6bN4qoTFo3hWEaHUKJayIOKE41FEYJGQl3CiCUypS0bi2triV58AACAASURBVCKOdB8hsYHR3CCe\nGKcVdImq51l4cs/fGHgtGq1lrMBH6PtBg2hklc6O3ycTriG03RaAfsW/VbyIFBXo7mXahkWl5qEp\nHlrqQdqN3rmtqhdRkvf2ne92exUpOswuroGuRzABWVFIDnX3rVm9iJ54K0WjO0x5joW/8EOiSpl4\nSMORwiixqW2fq6aH93y6dmyDgUosQBMtfL1/KlnVIxj2CPVahSn1PFrqCMqOYH7JN5HVvfui1+od\n9BRIkYOsbhQZy1xBz57A9z2qDZfY3ryPjtGB8Ak21ucZHRXIkRF8z8W3Vjl07MTAeOERwnNd1M2O\nU0EQcPaV8+Q2p/4bzdZNCyUvXbiAHJmEH3OdRRN5ZhcWuffM3jYIIQTLK0XufWiQzG9/z/lzpMbP\n0GrUSKT6W7nWq1WqtRb5ye705PzcBe47vZmF226yUawzOtU/dZkbP8jLP/wWB4+fHiCqptGmVKwy\nMtVV9Semj9G6eAUhjeIqU4j2Elq8e0046n506wKB3iWwrjpJxL6Iz70EbhPHdigvfh039Aiqeoyw\nXkT2uiSqFRwkIq5jSUdpBYdJqldpB8dpB4eJStfpiKOkhk7QNDoE0kOotVlq5nHi8jlsESVClWZ7\nnOGMQ6UxTDbVplSZZijtUqpYZFJZsopBva0RjenoaoBl2SytVIhqFSQ1iqzmsD0Z3ymQjUvY3jCm\nO0qtfI5kZh+lmiCi29h2BM8t8sHfOMV/8k/2jiP7WeFWxl14faT2J6m0u0ntXgR1dxpMq9Xim9/8\nJl/5yldotVr89m//Nn/6p3/K5OTkXYL6JsBdZfU2YcvcDl3y1mq1SKfTP+YTP3/cTOH9eamnW393\n4kDxX//+v+PSQgRFlUjljoDwCcWyuGaR6VO/yeLl7zA8eoDc5DEWLn2XUGyS4sz3aTV8PGkfmp5B\nFktE1CKR+CiyJPA8k7Z7CLuzRG4IOt4BwlqFUAgsUyKRlGh6R0mGCnjWOqbcnRYeSa2CHKVebaMo\nLkH4OJLcbdOb0q+jKBqFWhZdrqHF9yNtBuhHmEFJ3YfwW0SCNQprSyiZt/fafpqLRFLjSGrPw5oO\nrWCrPRXSql8lmpogJNWQPJNazQS/gx/r7+meUucxpH41LyHPYkj9hEd3Lg+otHZ7HT0c3e68tYWw\ncxVT7Z+KD4IAzV3E06a755UxQz6romoKpiOI5/otA77boVldIZbt3zYhBMbGWfTMoBKrWFfobG63\nMK+TG46hpY4QBD7VtUvEhvawABiLdLz89pQzdMl1Rp9F0WO42qE9H8QCs0C5IW8re4G5SDaj02pV\nuf+hRwbev4Xq2hWOHD2M7/u88qPzjB3qTel7joPbWWFy33TfZy5duEB8+Bi6HqZdvsaBw4NktFws\nUCzbWJ0q9z+4R3MG4OrF10gMHaddm+HYyXsGll+/fIlo9hC6Hqa89BL3PNBrq2qZJlevzDB5sKcM\nN+sFhpOQGRri1Zd/xL7jgyS41SizML/ExHiWianefgVBwKXzrzBxsD+D1TRaXDw/Qzx9AM29RhA5\n3vv9vTq+00RPdNfjGwt4xiL1zjByaBJNquHaJlKo+9AWl+douFPIsopKE8+qIfQpCCxUfwlbPowi\n2khuCUfeT0wrUG8KkFMk1Fnq9mHSkVWKFZVU3KNZXSQcDqOpAkmWaDU7aHoGz17DsIeIRxyE30AI\nBYRPoxNHUg8hywqB12Y4XaRlmKQSWURgIGSdphEiEarioSKJNgiP/+qT7+Idv3J0z2N4J+P1KrVb\nn9kizWfPnsW2bcbHx8lkMjz//PN85StfoVQq8f73v5+Pf/zjTE9P3zH3nUajwSc+8QkuXryILMt8\n8Ytf5JFHbn7t/xLgrrJ6J2F31uobGRt1M+xuVbpbPdV1nXA4fEvqaRAE2z6hn6V6+kbhf/7Cp3nq\nK9/mC//bsyhakmhiFFUJoyYPsTbzA/adeJzZV7+N2aowfuhMtwDr9IdZuHwWYSyhaQ3aVpK2N4XT\nmCccMognRnHdG8SHx6kZMXT/Ip4I07bvJR1dwwsSxKUZrLaHo96DBHjGFdo4NJ3jBIQZTZl0AgUC\nG9X8EXVrAqFNomgwnGzT9HtT2qrsojtXWN8QVLVxcsOCVtA7v4Yzgo7cI6pOewlTH0UGArtERKrT\nMZYpNAV6rKtMBQTEQ2vsbGPh2g06JPvUS8/p0FHjA4qmqkXY3QIjolYQen8RVRAE2MGgHcVtXkXE\njiDTPV/1xDHqLkj1i3SCUXzrFZKZGIHW9RYr3sYAUQUIzFXk2N7T8obhIG0+r0mRo2w0HBKNH4Ic\nEMk8vOdnJL+JrPbvg6qHaXEP5uL/w/B0HvRBH6nkV9HDvYcDT0riCp9kdopGrUQqs7cc22h18FyX\nl196mX0n3rHre3UKKy0m9/Veu/TqS8RHTqNvTn836u2B8aZaKrBR6jA0chDHGWFteYHxHcQQ4Ma1\nK4STB1B1HTcI0zHaRGO9h9ul+TnU6Oj292jxKWrlDTLDowRBwOULFweKupLpEZbmz7G+ts7k0cGb\ntG2ZLC0sMzF9P6XVKwzlOoTDXbX7+oWXGJsePCarizMM5YYwOgZCPYreeQ3imw8mappwUMB1WqjO\nAqWSSlQfwieGDLgiQzTUoum20bQ4Lf8AcekyHU7ikSQWNagbddRQGknJgbmGr40TCrvQWcdgjGxq\nlXLdpMUh0qFZ6uYhhrMl6g3Q4ifQpHXqnTHyqRKWlyIaA1UZxXBDRGMSspSkXOlgeRNIiocqZkiE\nwRdJGsYQXpDEaL1GIpVCVlNonXnCsREqpUViYYt//an3c+bBNx9RhR+v1O68N20V2+6c3g+CgOee\ne45vf/vbFAoF1tfXEUIwNjbG/v37OXv2LBsbG3z6059mbGxsz+94o/GpT32K3/zN3+Rv/uZv8DyP\nTqfzkz/0S4i7yuptws5YJuh6aBKJxG3LWt0il51OZ5t0vh71dEt9fTOpp7eCZrPJB/7x5/CVEbKj\nJ5BliKVGMRrrjB96gOLyLIrsEU/GiaQOEYqkWJ99EatSAb+NrKgYzjCeyBJRZ9E0j3gsS6NZR40c\noGPHCDpnSaVU2u4RFKlDIpuCAHQKBGgYfpfMZCPzdJQjpPU1ioUGqWwGw+sSJMlbJRQfR1KiyEEV\nOtcx3CHkTe8qzgKh9PS26up5FumYgad0B2whBEH9+wzl91OtNGmYw0iSRjJu4cm9yn3RuYqaPNE3\nFas7VwliuxQ28xJyvF/ltFtLhGJZFK2/YCcq5jGVfk+pXbuImjg+MOUb8a7TkQcVwbA/i0FvHXZn\nnVzcIPC7+aq7W8Aq5rVtK8VOCGuNjpvs87Fuwas+T2Z4GCnR75f1PZt64Trh9CD59Z0WjfI6Yc0l\nP5ZHivQIre+7lFcuEkp1p68ds8DYWJpEqtumqrT0Esfu3VthadTKXDv/fe5724f3Xl4tkIz6DOdH\nee3ceVKjJ7YJJHR9xmb1KtOHu9Pt1XKZ5dUS+Ylegdz6/Mvc/1CPCC7MXMFX88STveKu+vqrHDvV\nJYHFtWXqbYn0cH8h28bcS9z/8Ft47dxZRvef3vNhdf7aeTRV4cCuNq1CCC6efYmJQz3ltLb+GqdO\nP8DK4hxCSRFLZPs+s7owg6SmiMSzbCzfIJCGUWkhfAM1tq+b6WzPUFq+ikj0iH5cmqEljmxvX4yr\ndKRNO0LQQfZW8LXuuRcJrtAOuu+NyqvUjRiKniSmrlNvhVC0NEltnlJzGFlWtxXWqFbHsppYbo7h\n+Aob5TixsExILVJsjJKMGETDHdaLMprcJhLqIEkhVCWCoocRgYRtriKrSWoNn2jYRtfAdnwCr8TR\nQyP8j//dx4jerCvFmxC7xRNJktB1fbtoF8BxHJ599lmeeuopbty4wbvf/e7tSvh2u70d0r+2tsba\n2hq/8zu/w9DQzZtgvFFoNps88MADzM7O3u5NuZNwt8DqTsKW4riFZrNJJBJB0/Yw1/0ccDP11PM8\nksnk9iCwOxZqJ+ncGcy/Uz3dquD/RcI///3/hZfPLpAePUk4lELWdLRQHE3z0SJT+E4Lo36dww98\nBCEECxe/heRDRBb4vo0fuJjeKLaXIRXdwHNtUukYrUYNPb6PtpUmCDzS4auEI1k2ShFy2RYt/2i3\ntaJZIhNbwXaTOEyTDs9jKj0/Yz6+ihUkUfwKa6UQ4zmXhjO9vf355CrNoFfUpHtXkRL3ongbhOQm\nxUKVcGQIi55fNcp1/Ej/lHdaX8Cgn+Ql1QU6Un/BVFyaoyP3v093Lg2sz26voocTyLtUx4h3jY7c\nrwwFQYDqruJr/WTIMgpoqg7qrgp8o4Ii+wRundG8igjlUcIj3RSA4jm01P3shmZfo82hgdd9z6BT\nXUWJ7ScirpLO7UcKb5L4zhyG2CMpH1DtG9Tt7jLfWmU0B2qya23wWzO0/C558sxV9h2YIhTu+WML\ny5eZPrifSLTfltNuNZi9dg1f6Jy8f9DGsIXVuddA+ANEdQtLMz/ioYcfpF6rsrhQJL/LJ2qbBrJf\nZmLfflaXljBsjVS2X40qr11nenoUx3VZXSlu+1B3wmjVKC08z/iRx4jEBqN/SuvzdEwVyyhz5MTx\nvt/g2sWzDI33F+gZrRqBtYSsxhke639wqZY3qNcMMrluaoYQgpX5a2jhCcL+DXw1j9ucpdLZj4qD\nSgFfO7T53oAYVzGV7jkqfJeINIutdPdJlyp0LAdFH0WIgEhwGVM6SRB4SO0X0GP7UBVBuzZPKDyE\nqoVoVpcJR7PIskqrvkosPo7nG5h2m2RiHKO5igg0wrEU7UYBRdFpt2pY3jDJRJJIWEJVBBIBjfoK\nWiiCFspiGAqONUcmM0y9USNw1vjg+x/hk/9s71a3bzbsRVC3xJOdUVt///d/z5e//GUuXbrE448/\nzpNPPsl99933ppi9Azh//jyf/OQnOXnyJOfPn+fMmTP8yZ/8CZHI3hF8vyS4S1bvJGwVGW2h3W5v\nd874eWFnK7ndA8CW+lmr1ban+ndXze80sf8iqae3igsXr/NffvqL+CLG0OgD2J0V8vvfQXHpWQ6e\n/o+wjDLN4mtMHnsMEQSU1haQZaivXCAWHSIcUrCMIrI+SsPIoiptMtkotYbNUMLCMgsY7jFkLUVY\nXUcJjyLwyUQbGK0yHbo+P9+rkc2GsIMhROAjO5eRhUPTPYCmxVH8BdTYAaTN4H3fLhBPpxBKl8wp\nQQk61/BJ03THUdUwEWZwtf5inqHYOu2g1+bUsxvEIj6B2qtYd4w1IrEkktYjm45ZI6QHSHr/FHZE\nLOCo/d1ddOcKbrg/7irwfRR3lUDvJ4BO/QJq/CTSrhuRal/GVgdJkmpfxpR6hNexauQSZYRwEJF7\n0MO7vNlBgFE+j5a6d/eq0N1Zml5vXt23ioxkDaT4cWhfw9L2thSYpbP4oZ7q7NkN8skCWvY0Xu0C\nTX8ayd/gwNETN4mReo1jp3qkulIusLpSYXj8OK1agVRSJT00aBUQQnD2hf+PqUP3k87mB5Z3f48O\n7fI1TFffLk7ajdW5s4xPjFGp2QyNTO/5nuXrL6DocSYODP5uAOtL11lbXuLhX/21gTGiVi5QLddJ\n57uEsbp2gZOnu00Klm5cRImME4ntajTRaTJ74XucOPM40R3kt9NusrywQH6yf1/KG/PUKm2ycY/K\n2nX86Nu3l4XkGq5jI4U2Fe+ggyY28LTug5YimgReHfTudRCT5mmZCsloQKdVwjLq1IwMir6f4fgy\nxUYGWY2TiRZpNHw8KU8qUqHTMXHEBKlIkY7VwXQnSUeLuHabprWPRLhKJGxRqkgEUp5YqEYqDq3G\nGp5nEw6H0EJZNE2jYxRwXB9JDmGba4zkovzBf/tx9u/b+zi/WXArBNX3fZ5//nmefvppzp49y2OP\nPcYTTzzBmTNn3jQEdSdeeeUVHn30UV544QXOnDnD7/3e75FKpfjc5z53uzftduIuWb2TsDu+asun\n8rPMWt1LPd26+Hd2Ldn55zjOQNzTTmyR163s05+UX/qLhiAI+L3f/wIvvdYiPXqaIDAZmX6M6srz\nDO97CAmZ0sprjExMg6IjKUkkWaM0f4Gw1KRu7sf3LbCvMToSR9GGKNYi5NIVap0DSLKC5zbJxpc2\nFVaVdMLCFNNIcld1H0mv0nbzJEJVyqUWqWSYmtUjlSPpAg2n9/9sdAFL5IiqdWrVJm3DQU8c3Saz\nAOnwGsYOYiqsRfTkJLLSe8IP+3tFWF3F1ftfk61LENtlAWguEErkUdT+hgQRsYCl9BNYr34BOXHP\nwPl0MwuA7s1jStN7vD7bt09biIkZOqbHcD6Jq+1HUTdVR2sRU4ztedMTrQvY6iAhVcxzSKpOZPih\nwc+YyzSNBIrer5IEQUDIfRnDTZHMjqEpFpMHBjNdAZZunOW+Bx5AlmXWlhepNYNt1RCgsHyRE/f2\nx1j5vsflV8+SHT9No3SNwyf2JpGtRpXLrz7PQ7/yvj2XA2ws36BZK3Dk3l/Zc7llGlw+9wJHTz24\nbV/YiUphgVpDkMiMY9VnOHi8p6wbzTrLS6vkxnv73moUSCdlCAQtwyU93P/A4ro2C1deIrfvEUor\n57j3oUeRJAnf97h+/nlGD/Y3GGg3ClTLVaKJYZZm5tG0NDFtFXuHap9QV2lYabTN1rchqYLpBCih\nboe0qLKO2TGIRyQqpQaq7FHvTCBrUSQsEtoaDbt7Dmei65QbKpI6RERrgl/DcCbR5A5RbZ2qMY0i\nOWTjBTaqCSQlQTZRwupYGM4kgbNBIrQMkoosSXgijAg0PD/AMqukUzpqKE+5eANVqvC+33iQ/+x3\n3rsd87c1Fr9ZsHWP2at4d2cu98svv8xTTz3FD3/4Qx599FGeeOIJ3va2t70pCepOFAoF3vrWtzI3\nNwfAc889x+c//3m+/vWv3+Ytu624S1bvJPy8slZ3Xvg3U09/kvd0t3qqKAqKomyT25tVaN4sYmT3\na28m7CT8W/FWqqpiGAb/5J/9WywmUdQQwxP30awsEE2MEk1kcD0FOajiuk1GD74LgLWZ7xLYAsWv\nI4Wm6djdY51LrVBpRsmmXDRZYJgNDO8EsqwiizKJdArLTSICG13MEtah0soia8PE9SVsaRpJ6hJZ\njQXk0AEkJYQiqoQo0Om0abv7UfVuxXk+vU7d7hEe2Z1DCh9A3tFBKhOapyP3E6iEtoQldX2hQeAj\nnBKSPUs8PYUsBUgIgsCnXV8lEh8lEIIg6P65xjp6fBxVkZAVGUWWcJw2siwTiWcQqHiBgu2pxNQ6\nttavlHqeg+YVCfT+WC2rtYiiZ5HV/uvGbi4gqVkktf/hL/Ad3PYcSvTI5r7PMpIL42r7CPnLA+kF\nALglmi3QI4NpHZFglkItzETOwI8eR9nxG6rmZeruoKVACIHceY30xMmur3LhHEfvfWjPayMIAlrl\nWVzHBm2YeLq/xWytuMzIaIp4srtttmVy+ewPGD30jwCoFuaY3Dc2MP1er6yzvlohlhpDU9rkRvex\nG7XyKqViC9dqcuL0wwPbZ5sdbly7TH7yPiqrr3HidH9Ffr2ySrHYIrOpmlY2rnPg0D6isQSW2WHu\n+jVGpgaJ9NL154knM4zu638IEkJw48L3ye176/ZvY1SvcfTUA1x59YeMTvc/MFhmi7WFqwxPdMm8\nadRZX1gnpKmoUh1vh8qfUGa2PagAcWWJpp0kHW5Qq9ZRUKh1EsibVpNMdJVyM4GiJhGBSzq8SLVz\nAFmWSYYrtDs2njSKjEVCW6FmHkCIgGx0mUozgaRkCEnzeHaBeCKPIkOr0SQcjqJq2mZOsUegjKEH\nrxGPa4SiOdrNVdrtIg/ef5B//anfIh4LD+RJAzfNML1TxIWdIooQAk3T0HW9j6C++uqrPPXUUzz3\n3HM8+OCDPPnkkzz22GO/cBazd7zjHfzZn/0ZR48e5XOf+xydTofPf/7zt3uzbifuktU7CVsq5hZc\n18U0TZI36fv949bzetVTuHXv6a0SzNfT7eRmA+nt7HSyEzujtrYy+3Z6cXdu2yuvXuJffeYv6Tga\n6dwxAt8mGh/Ftcvk9v8arcpVXKfB5LHHAUFh9gcoegbRWScWCWMaBbTIFLVmDF9ojA8XqRjTm9vh\nMZxYJhTJEngma+sN8qMj1Dvdad/AazOUCTDc3jRwTDpHMj1Ovd6i0kwxkWtTs3o3ZVUsIYWn+lTV\n4fhanxLr2i1SCR9fyRM4VcJaB88sbUZz6hiGS6sdoGsBUuQQktwjaIG9iBoaQ9qhyHqeRVyvY9Pv\nd0yH5mg4/WTOsepI9g1S6QyJZAhNDyEknVppnkj+sYHzQncuYyqDFoCwd41WMEgUIyzScicHXvc6\nM8S1GvrwGWS1n9iF3Gs0vMGmAkII7MpZxKYPNyJmSOX3EWh5fLdDq7yEGutXjV2ngyrXGdt3eLtI\nKwgCrOYiY/sGC7583+PcD77Bkfvetd3NaTfKa5c5evIURrvJ3NVLDE/1V8fXClf61NXyxhrFYo2h\n0S4xLyy9yon7z/T9tpXCGqVynWz+MJ7ngLPRt3221eHGxVfIT3cLwEyjQUTvkB/vnkfNWoG11Q2G\nxvqn5GtrFzh6731cfe0VRvcPqtGW2WRlfpZwSOLgiQf7ls1feYHUyAN9alq7sUG7eoPJQ4/2N3dw\nbZZmfsTwZD+BXp07j2loJGPguB7SZgqFEAEJ+TqmfBI5aBJTCpQ3VjDEcZTNB55UuEijLYM6DEA6\nskG1qSNrWUTgk4nMUzH2I8sqEa2J79awxBSBb6C5PyISHSUcjtBq1ACPekMg1GMoUpOhlIeqeFRr\nJoaVR1OqxMNVWq0mkegInlfHc6tMjkX4z3/33Tz04N62jZ3j/E+Kf9pp83ojSO1eBHVn8xchBJcu\nXeLLX/4y3/3udzl16hRPPvkk73znO9+wWo7bgfPnz/OJT3wC13U5ePAgf/7nf04qtXcHul8S3CWr\ndxp+2qzVm6mnuq5vX/ivRz0FtpXXn6f39GYD6e5BdKdK+3rbpv6027UXYd/6TW5lqunZ77/C5/7t\nX+Mpk6hqmMzoQzTK5xmZfjuSBNXVl0iPnCCaHKFRXiGR2Uenep1qKUDV0wRBwGh2lUodMikNXVNo\nt9Zo21OgdMnoaLZA1eyRynxylao1RipcR1Mc6uUlDHFq++aqiA306BC+6KmOu1VV4ayiR4YJpAiq\nKBEPubTq80Rio1SrJpafQwulGI6vULen+/Z5KL5CzepX5IYiS9SdXb5U7zKOdrLvePlOh4jexpX6\nlcKouI7BoLqZlG/QNAJyuSihSAjbCxGoI2jBGo7Sv11BEKDYizjKYNFTyLmCIQ1G+sSkRWrmGJK7\nwtiohqNMImtxgsCnU7mAGh/ME1XcRZpWt9p7e7/sEhN5G2SFptv/O1jtDTJDMTK58d2rorDwEkfv\n688XbTWqLNyYIZ07jvAr5McPDHwOoLQ2QyYTYWO9Tm5ikMRUC7NM7p8gEo1TWJmlWvfI5nvr8lwb\n4RYZnewS8vLGKpVqp89uUFq9wLFT96MoKq5jcuXCq4ztIpvFpXOcfOBhOu0mKws3GJoYLGBrN0tU\n117j0Kl3DSyzrQ6LM+fJTT6I2a4Sjbjkx6cBWJ75EeHUEbRdlory6iUadYOpg4dIZrrnkhCCuYvP\nktvfb12oFm7gujqqFqVW3GAo7tK0E9utcSWviGxfp2GMIpSu/zMbXaXciqNo3fckwhU6po8vdZen\nIl3VXag5hBBkwnPUmiqZlIrdqeLYHap1GSV8FF01GE51KNccnGAChEs20UDTXAqlbuPhXBbahkW7\n7WI5oEotNGWDsVyUT/+rf8zJ47sadvyU+GnG4p9EaG82M7BVI3Ezgnrt2jWeeuopvvOd73D48GGe\neOIJ3vOe9/zUbb/v4k2Pu2T1ToPjONtkUghBrVYjk8kMXPS7s+WCIOjrcXyr6ukWQf1p1dM3CjdT\nA36WtoObFYv9NG1ed+LK1Vn+5Wf+b6pNmezIaRzHIBxNEUuPY9SLKLKDrMtEk4eIxHKYzTVq62cJ\nqzI+Y1huCiEEo9kNyu3929sxlFyhaR/Ac6skwy1wK0halEY7Buo4kiiTSMYwnd4T+WimQNXskckt\nVRVJQwmKJCIBZnMRRR+iXHFA24cILNIJh463o1jD30ALpRFSj/QKdwkllO/rbuU7ZaLhEJ7U/8CV\nCq3QdPuJY1hcx5YHfZoRFumIfgLsmSsoWgrk3vcHQYDXeI6hkXFSqTSmnwC9S1bc5gWEfmygEEvy\nq5gdDzXcH1nTnZa/iK30tkd2Vxgd1bAdD1s5sucDi2ZdounvEX8lBKL5H0iPPYonD+G5Fp5TxXdq\nHDzxEIo6qBK5jkVgr5Gf6BL19eU5ajWTTL67/uLKaxw9tbdVoFxYZnXuCscfHCSAW6gXrxKN6rQM\nldTQoLK8sfQqJ+8/Q3FtkXrTJTM86PXt1GYY33+IK+fPMnbgzMDyIAiob5xDoDI8OZhSIIKA+csv\nISSNQ8fvQQv1iKfrWMxfu0Busue/rZfmmDowRau6jicSxJLD/fu9Podjy8RSozQqN5jcv59oIsPC\n5e+THn+475jVSsvYHZt4Zmrz+0yKKzfIp1xa7hjpcIH1DY+AJKnwOk2nd1zT0QINQwOle97EQnUc\nq4MrdR86wtISrl0hHktRrXbQtAiqbFFpjyLLOiG1TSbRYqOsIORhEC65TAPHNqhUyozmhnE8nbYp\nEwQSruMhe1dQFINT9xzkv/jdX+fQwduTCXqrKu3u8XjnMlVVKZfLJBIJ0uk0kiQxPz/PU089xbe/\n/W0mJyd54okneO9733vHVcEHQcCZM2eYnJzka1/72u3enF8W3CWrdxp+XNbqXurpVrbcnayevlH4\naWwHuz8ny3Lfb/KzRLlc4V/8N/8rMwsmWngEPTyEqoOq5wjFRqkVXmVk34PEUmM0K/O4LrimjWl0\nGM+ZrJdV4mGXWFTDtYvE4iM4rk6tFUaRTOLJKC1zcZYsxgAAIABJREFUs+tREDA2XKJq9AhhVFvC\nlfaDpKJSIR5xcY1V1HCWUtkmUKYIKQVQ8wh6hDMTXaDp9hOwfGKVqtVPXoZiS9R2Ka1pfZ7WbvJm\nz4E+iaT0p1wktRVaXj+Ble0ZXHW6T6kESKlzA2otQEKZ21YvfadNTN8gOxTHaJUI4o8MZLTGuUHd\nHVyPLtapGzFUdTDeSW49x9D4AUx5GnnnPng1mrUWWnRk4DMhsUq1kQDRIJ1ooCQOkcx0Y646tWuM\n7t+74Glt/izHTj3IjctnUcITRBM9Uu25NsJZIz/ZI9RCCBZnXiUgg2sbjE6ME47tPX04e+F7xNIj\nDI/tHRQfBAEbs/+BcPIIqeFB/ypAaeUCllFm6tje7TutTpO5yy9w4MRbiO7KPhVBwNzlH5LOd2Oo\n2pVXOXjPr2zum8PclXPkpgYJ7urMd8iOHiU9PN33erWwiNnxiad7KnWjdBlVNkmM3Eso1LNMtKob\nNBsNUkO9dVhGnVppCVX28RozWNK9KFr3YUgIl2x4kZp1eHvcSEYqGKZHsJk5HJIKeOYckcgQGyUZ\nRU2SzzYoVFSENIwQgmyiSuAb1IzJ7lijdIiHVqjXyoR1CTcYoeMMI0s2ihzgmzdQtRYhLeBtjxzl\nP/2nj5PLDRat3YnwfX+7CczW2LrTf/qpT32Kb3zjG3ieRyQSQZZljh49yoMPPsiBAwcYHx/nPe95\nD9nsnbW/f/zHf8wrr7xCs9m8S1bfONztYHWnYSdh3HoyNU0T3/f71NOti3s3Qdtax86uUVvkdqd6\nGgqF7jj19B+KnX6rmyEIgu1B1Pf9roK2+Tuoqro9RWXb9k1V2d1e2lvF8PAQf/F//vf4vs///sVv\n8O+ffgERHMM0lvGcFkPjZ6gX56kXZ0gN70eiTSw9RjyrUK3cwDYqyNJhYuFVTP8YrdomkRI10hmd\nmtHzNueSK1TaByFoEY+YqFIH4TfRFKhWLDx5EtUv0rBOINlKt6tUEJCIKTTtHlEN3Cp20K9eCW+D\nujnUN3z4bpGmle17LfAcXG3QU5lNq9TsfqIqObM0xL6B9vTJRIia3T8kuXaLjhj0cfvWCk01B5vr\nUPQ4FodZXl0HaRy5cY58PoonxfDVKQSCasveKQRvQwkaqOpgQLhGhaZ0HLucJsQVhnKJLmmVFSJS\nCTM6qD4CCLeOEBHCUZ3E2BlUrbf/ZsfC99w91dVQOMmLz/4t+0++a+C8VrUQGytlchObubuWyczl\nc2Typ7ZbvK4tXeHgif4WqUHgM3flFUKpEzTrCwzfRKArLl+mXHU4Orl3xyzLbFGvlLcJ3W4YrQqF\n5TlG9v8qy7PnOXr/W7evFxEEzF/6HumRntqpRQ+xvnidkalDLFx5kdzUYPODRmkWlEnK6+ukhnqz\nDPXyAh3DJZHZlRRgO1RbFrGsA5tk1WgUaFQrpPO9hyjLqFArrZDOddMd2uoQofo1Aj9DoIwgSRpV\n6xDDsUXKrREUNUrTHCKqVbHaPyKZzFIo+vgcJRKuomsBroiwUY2gawbZxBrrpSi19hBCZIlrlyCw\nkYSgWNRAux/X1RBBG1VeRfLm0YCDB1P82jsf4UO//Y43RZX7zvvN1v0qHA5viyFCCAqFAk8//TTr\n6+u8853v5AMf+ACnT5+m1WptB/Svrq7y0ksv8Za3vOWOIqsrKyv87d/+LZ/97Gf5oz/6o9u9Ob/0\nuKus3kZsFVXtjO3YuuBfj3q6paDCL5Z6+tPg9RRHbeH12A5uxUt7M7iuy//wP/1fnL1oUq1WSOeO\nIUkKkppEliyM5ioTRz+ALMs0ynP4VhnHi+K5PjI+gVdjOGOjh8fQNRVVVegY6wRSFMtSMKwEsppk\nbLhCudWb6tUoooWSOEGPaKRC87T9I33bm0uuUDWn+7Z5L1U1G10cUDojzGDLx/p9qXYJPRQikPvV\nvmxoiZrTv07PWkfVYgi5v7gpxgztYHCqPa3P9RWObSGp3ujbhyAICEkLRLUmcvwIgbqLrXkNOq06\namSQxSXkGapm7zuCICChLxBLJmm1TKTIoEop+2tUKwaJdIix6b0V1GblBpMHet5SIQTLsxewLBnH\nanLw5Fv2/JznOfjmBpFEkpWFRYbG+n20rdoamWyCRLpLOC2zxcK1S2THutvRaZWIJ1TSQz01UgjB\n/NUfoUcnCUVSGOVXmTrW753ttKpsLN8glTuFadSIhB2GRg/s+N4ixY110sNdC0PgedjmElOH70UE\nAbMXXyQzOhjUXi/N4lplxg8PxmLVi/OYhkcsNUHge5jtOaaPP0SjskGjVu9TSQEKi+dRw3lCkTTN\n6g3y4xOomkZ5fYXMSE+N7rQqtKsrJIZ7MWSt6gpWp40kfCS/QrAjoiwTWaPaVBhKerRbbZpGmpFs\nm0odvM2CQVmyyKfrFKsKgdT97XVxlbDugAhotjVsP4eqZxCBh/ALyP4lFNllKB3iHW8/xUc+9Hay\n2cxeh/2Ows6sbt/3B5JmhBCUy2W++tWv8swzzxAKhfjoRz/Khz70oTuKiN4KPvaxj/HZz36WRqPB\nH/7hH95VVt843FVW7zRsqX5b6qlt29uk6FbVU0VR0DSNWCz2C6ee3gp+XHFUOBy+JYViK57rJ33P\nXqR2a9rrVtMO/s0f/C6SJGHbNp/5g/+Dy3MStY1rxDLHSY88xsbss0QTGaLpQ5jCIx5PIoKukihc\nlbZ7D2wmnqVjq3ScQ7h+1+el6jCSXqHUnGbrNAh8i2QaGtYORcyvI9Q8UrCTWC5TbQTooSIhVaBq\nYJlVLBMykUUIBIHv0+k0aNigqTZ+4BP44HkuBiYoNhISkiyhyBKyX0SWxghpG8iKjKooOK5Np22T\niMg4voztKPhSmqFEh7rTa+sK3XNdqGHoj/rFc2q0g8Hpbs+u0nL7VVhZlrGDaXRWqBUC0tGzJFNJ\nOmIESUkQ00o4kcFpbymoU26G2RGagCzLGN5BgtoNAuERCa/hSFvV5AKrUyCsS4wfvJfS6vnta3k3\n7E4H17XRtBCteonl+RukcveQiMp4jkVpbZbc+GCSgarqLC7MkMjuGyCqAInMOIXViyTSOeqVDQpr\na9tEFSCayFFYfolUdgxJkjZ9oudI5XZ0iNLGaFVXSWS7hTz1yjq1UolUbjPxIJahVrhAMjuKpke6\ny8vVbaIKIKsqrqfRrBUoLN8gO3r/wHXouRaNShlJ0XBts8+/WtmYwbUVYqnuNsiKihoe48aFv0cL\nD5Ee7k9mWJ87h56YILSZk5rMHmZ14RIiMJg68qvb7+u0irSq6yR3ENVG8SoBUZLZA5vHJkur9DJC\n2U84EkESLopXw7V1aq00ipqgUE+gSCajmQLFikRAno3aKIq4QSq0AQhMK0SxFkfRJpAVGfwSdu0p\nFKXN1MQoj7/zQT70W29/3ekvtwNCiIG0mVAo1CeIVKtVvva1r/HMM88ghOBDH/oQf/3Xf83w8PCb\n8p70zW9+k5GREU6fPs13v/tdfoKodxdvAO4qq7cRW2R1iwi5rotlWX1ZedtTaTvI0OutVP9Fw8+r\nOOpnsV3AgCr7k9IOHMfh33/lFf7qb/5fhDoJShzf8whH01hmkfTIWwhHh6mXruF0Gqj6EOloCcPd\nj6DHpoYSy5RbeTynhiqZaJqCLhUIxybRNAVF6f4uHWODWGIcx/GxLY9Wu0MyodB0DiBvNh4IAoeR\nTJ1Kq9+TmU9tUG73VyRnY4vUzH6VUw42UPQkXtBvDcglVim1ep8PggC7fZVELCCVzhKJ6CiqjufL\n1KvLSNGHkJX+KfOEfIOmN0jmEsrMnmqr5l/DFAeRpN61EnhFRjIWjtXGDT844G9NqnNUjEESKwIH\n7Dkc6QC+a5DPlLH8KLKeJpGd3D73PM/BtQrkxgdVYYBm8Tyer+L6EeLp/oKn8toFDh5/qK9AzOo0\nWJ2/RiSxH98ZbI26BdOo0K7OougjJDKDhVSB5+GYC2SGJ1mZmyE9emrgPaWVcxy9761UNuZot7yB\n6fbu9p8jnZugUbf3XO65JguXv8PBU7+OtqvVq2M1WVu4Smak+92N0kUOnHwLsqJSWb2E68WIJvq7\nMbWqC9QqJeLJxLbnVwjBxvyLRNLH+/zG7fo6druCGsnjOUVG9p3Es5s0KkVSuZ4aXlq5RCiSIxTp\nPviY7TLtZoFU9ghCBDSKFzA7PooSQ1ZixMMW8ahBsRpFVrsqoewvEA01kCWB40Zod8Cnax0wmtdx\n2t8jl9XZP5Xnwx/8R7z719+x53G707CboO4s6N06xxuNBt/4xjf46le/imVZfOADH+CjH/0oY2Nj\nb0qCuhOf+cxn+Mu//EtUVcU0TVqtFh/+8If50pe+dLs37ZcBdwus7jR85Stf4Qtf+AKhUIjx8XHG\nx8cZG+tOLVUqFebn53nyySd5+OGH+6osd6t4P25q+nZnlv6ssNWedutvS1Hemt5/M+En2Q6++bff\n59vfvcpGWcUOJmjUlojER4glR5AVFeG7qKE8rlnEbC6jyAGZZIi2k8XzNSCCBIzlKmzURpGk7gRK\nEASMZlYotab7zol8eoVyu39aPpdcotza1/e+VHiJpjO1vT4AOSiiheI4fr+XMZdYo2z0k1qdZVyR\nQ0j95CUXX6bU7ic8QRCQiaxSb7oMZ0NEY2GErNPqgK6CFfSv23PaRNQ2pj88sJ64tkLLGYz8SWmz\nlNtTRJVFcvkULTeLkFPgd3DMApI2SMJS+hLF5kj3Zm5X8L0i+4+/dSBSCaC8epF9R+9HVvonsMrr\nc6zNX2TyyK8QiiQGPhcEAWZzgfHprlVgfeES7bZDerhLfBvlWXKT+whH+lU51+qwOn8Z26wzfeJX\nB753C6uzP0TVdIYnBguatr5/beZZMqP3EE0MFpABrM2+jCS5jO3qGAVgtmuU1m6Qzp2kWbnAvqOP\nbp9HnVaV0voi6Vx/EkSzcol4IoWQEkRi/f7h8to1BGEi8RyeZ+F0Fpg4+DDLMy+RzJ1AVXsRR/XS\nLIEnE030bB3l1R8gZI3Jw7+6OYYGFBZeJjHUI7mt6iy+K4imug8ordoSrtMhkT6ICHzKaz9C1bLI\nagireYN4VEWSFdrNEmpoDLPTwvcCAr+NLNZJxj3e9sgxfv9f/NNtUeFW455uF26FoLbbbf7u7/6O\np59+mnq9zm/91m/x8Y9/nKmpqTtqX36W+N73vnfXBvDG4i5ZvRMhhMA0TZ555hn+6q/+iueffx7X\ndTl9+jT5fJ5isbhNzkZHR5mYmGB8fJyJiQkmJyeZnJzczmbdSWRvV2bpzwo747p2do7a6Y/6RcbO\nY/n8ixf44l++wOqGScdSUPQEihIiOXw/kqxSXf8hijqEJIcRXoCqSowMe5QaPaIRBAEj6RXK7X6i\nOhRfpmpO9hHQqLaGGwzji55qK/wqybiO4fRPv+dT631KKUBUXaTjT7DVVWvr+4fjG1Q7/Rmjqlgj\nkDIE9JO9pD5H3ZweOM5J7QYNQ2IkFyMcCWN7OoabJa4u0nQGg/vD4hptv19VhW4xma4IbD+147US\n4zkP123QkR4Y+IwIbPzOHLZIEgqHSA5NIgQY9TnyU4PT8gDt2iyj+7uks1FZp7S2SCw5japHqZWu\nMHHwgT0/Vy1cJzcyysbSZWKZe1C1foLfqFxl6vADO96/QL1SJTXUnY5v1y8zviteKgh81hcugpTE\ns8pMHh2Mn3KdDhvzlxBSiExumHiq38vruTYbixeIxKawzCqZXIZoomffaJRXaDcaJLLTm98Z4LQv\nM3bwUZqVNRr1OsnNZTu3q7x6Ds9psf/Yr20rykII1hfPEYlNbLdC7W3jd5k4+vg2YRdCUFt9BSU0\nta2UCiGobbyGrGbRQymM9gKxZBrLqJMZuXezaDWgtv4aemQCPZLC82yM6mW08D60UAKzXaTTLpLI\nHMWzy9jGCmpoCs+p4dpNhJAIvAapRMBE3uV3/+PHeOQtD+w5Ft9KhunNckx/Xtiapdqq5N+LoJqm\nybe+9S2eeuopCoUC73vf+3jiiSc4cODAL/w4DHfJ6m3AXbJ6J+NLX/oShUKB9773vdxzT39fdCG6\n3a7W19dZXl5mZWVl+291dZVCobAdF5LP57fJ7Pj4+DahHR4e7muX+pMyS/+h1fA/DX6a4qhfdOy2\nPAgh+MGL1zh3sc0LL56l1VFAzRF4HWKpQ+iRESxjCbt1lXRmirAu8P0OQviEI/nNdXbXa7TXCUez\nIIVBQCAEltkkEgJPJPEFBF5AICAebWIGRxCEkGUdSVaI6UsYbj8p9X2TbKJD0+pXOJPaHA1neoAA\nDsVWqexSYAO3QTzqY9j9BSfCKxEOhbDcfhXX6Vwnm3RJZcewHI2Ol0NWtM2CqBWa9qCqmgnNUW7v\nEdHklZAEqHKd4Vyapj2EkBO4dgvZu4EcPUg83U/gmtVFUtn/v713D5KqPvP/X+f06ftlLj3Tw9y4\niFwVRGFcLaIoaAQFRBMckl992XI32dTWlsGUSbQqlfyxlbiptbSKsiqVZL+VWG7tL9aWg4LBHSUQ\nJcXGIKIoIiAMMDfm1jM9fe9zTp/z/WPspnt6bsBAzwyfVxU11TPdp59zTnP6fZ7P87yfShzuwgaZ\ngZ7TlJT5CHb3YLH5cbovHZdErA+73cBTlh+Hkdbp6/yScPA0sxc/XBgjkIj143BouHyz6Dj3OTb7\nUHNRhnj4Im6fA2/Z0L7HI0F62s7iqxgqH9D1JIbaTWWOyA73dxLq6cLnH8rgRvo+JzDnVmwOT3Yb\nwYst+PyXaj5DPSeovulWbHY33a3HQXLj9OQv4acSgyQGT2DzzMVTkn8u1MQg/V2f4y4dWtqPhU5R\nc9NQxrfnwlE8FfmNWfFwF+GBi5T4FxMbPIfT46WkYjZdFz6htGJJ1vZMS0UIdn2Jz784+/pkpJXw\nYD8WxYLdMXSzk4x24a1cOVSPHO4iGenFV7EIXYuTGDyLxTYLSYZU9AKSpYy0NoCe6sZfMYu6ijiP\nbbqD++699YrKsSYiaEdaQbvahEPuNUXTtBHLylKpFPv37+f111+ntbWVhx56iG3btrFw4cIb8jos\nuK4IsTqTyVyAuru7s4K2o6MjK2q7urqyfqt+vz8rZqurq6mtraW+vp6qqioURRl1efpqu+FHivlq\nJ0fNRHIHOEyk5CEUCvHO/s84+JfP6ehVSell6GbJUMOPux5MC+m0STzaicNZjcOaptJv0t1fCtKl\nJVS3vROL4iGSuCR6DD1FVXkP3aFqjHQKQ48CcRzWEDZHKZKkYLNaUGwWrBaZVKILX9lsJEnGlGRM\nQyaeSGCkIyTS1SCXIn1VH+q2nCei1RX4qla42+iNFNZbDv2+UHgGvO10D9Zmj53FaKUq4CSV6EFT\n5qOT3+Qh6R2YeEibhVZbZY4L9AwOidG0nsRMd+Er9SE7qoiHLxCYfXtBvAB9nZ9SvyB/zGl0oINI\n8AKDoQHmLBnZsL+34xj1C1chy5ahTODFE0QHo3jKF5OK96PYTEr8heUIABfPHkCxlVJatXzEvwc7\njzNnyUp6Wz9D0224fPnbiQ60UhqowuUt5+LZI0iWUpye/GX/ge7PmLPkbvq7Wkgl4rhL5ha8T3/X\nZ8iyhLf8ZhRbvjeYriXo6ziFJNtxOHTKqi9NtYr0txOP9OMpza8/Huj+GEmSqay/lPk1TZPgxRNI\nkjNviT8ebmWw/zSV1UOexQDRUCtqIoKrZGi7mholEryA1VWJ3V6CrsVJhs+iGzbAxDQSGIaORQK7\n04umxUjGunC7y3HY07gdGrXVJcyudfDtJ9ZQWXH9utpHq4Mf6Wfu9XmkREPutTZzTckMlYEht5L3\n3nuPpqYmTp06xQMPPMC2bdu49dZbp4xAbW9vZ/v27XR3dyPLMt/97nf5/ve/X+ywBJOLEKs3Opk7\n+b6+Ptra2gqytJ2dndkRsCUlJVlBm5uhnTVrFna7fdSsABR2ww8Xs7m1p1OlOaqYjCTacy3IrlS0\nf3b8DK/8/+/TflEilnKhqjYSyX4kScbhqiCtJohG+rE751Bfk6I/UoWRs/Rv6IME/An6BvO79J3W\nTiTZR0LLr7f0ey/QF65Dki4JaiMdpao8Qe9gJWk9CekuPG4LNmsCm9WKy+vHMC2omkQ0ISOZCUzZ\nT9rMLwtwyueIqTVIsnXY71u/mrY1zMvVCGK3y4RjVnzOXvzlXjTDSjhVTrmzi75ooRi200IoUoKm\nDmB3e3F5S3F68jPEidAJymvvKHhtKhnGTMcorZxDf/dZoqF+rPZK7M4yUskwVksMT3lhmYJhGEQG\nzgx12fd04C1fkCeGw8EzVNbOx5pjch8Ld9PfdQ67q55EtJWamxoKtguQiAa5eP6v1C14cESBDdDb\n8RGSJFMWWDbi50xNxelp+18qaxuyy+u5REMXGQx2IFskArOXoyiXzkNkoJ1oqA9f+VBpgq7F0ZIX\nqJy9it72z1EUL3bXJV9X00gTCZ5ATzvBBKtDpqxqIboWp//icTxlS7P7oWtJwsFzyBYPTncleipK\nItoCsgWHK4C7pA7TNIkOfEk6beDyzsPQUySi59F1Gbe3nnikDTMdQ9dU7NY0TnuYgF/h62uXs3HD\n7bjdhTczU5XM9Tj3mpzxmc51loEh95N3332X119/nerqaqxWK8ePH6erq4uvfe1r/P3f/z2rV6+e\nksmCrq4uurq6WLFiBdFolJUrV7J7924WL148/osF0wUhVgXjk7ngDQ4OZsVsrqjt6OggFosB4HK5\n8mpoMxna6upqXC5XdluhUAhN0/JsWnKF7ExuDBuN4R6510u0f3m2lXcPnOKzL/oIRWyEoxIDfedA\nUnB5a3HaZdREJ6YepaQ8gNVWQSqVJp7USWl2yktMdPyktPwMmt99nmC0DnJqX410kkDpAH2RYR6m\n6RD+UpNgZNiyud6LyxHGotjxuO3IioJpKgwMJnE6FGJafr2rrocpd2sMJvIzXYaRxu/ppC+S/3wA\nh/kJLncJLm85oZgD3SxFTQQxULFZJWSlBLuzjMHgybzRnxkS0V6sNgo64JOJQbovfIxFsVNaeWuB\nOAz3n6MsUIc9pynKNE1CvS0MdF/AXVpNib9QzMJQ81HNTQ0k44P0d50FSwlOV8VXxyCJnuqloubS\nl7WWjBLsbkHChaQ4MY0Q/ln5X+a6lqS/+yymoaBrYWbNuS0vZtM0CfWcIRGP4/RUoye7qay/ZIOl\nqXFCXSeQbVXYnUPHP9J/isr6W7BYFPo7P0ZSqnC4hon9aC/BriNUzV6dV7YQC3cTC3XiKV2YFUmG\nkab/4v8iKQ4C9XdnG0wTg2dJxBN4Shd8FUuUePgipmng9s0jHjmPnuxET0u4PBXIsoSaiqCrYby+\nOiQzgkKQmtpqbqpX+P8aV1NXm39DNl3JrfXXNC07pS93LLeu6+zfv5+33nqLrq6urJhNpVJZk36r\n1cozzzzDz372s2Lv0phs2bKFp556inXr1hU7FMHkIcSqYHLIfGYikUhWxLa1tWXLDjJZ24GBAVRV\nRZIk1q9fz6ZNm7BYLFRXV1NTU0NJScmIGYHM48ms05oKjLS8nxGoxfbIPXu2lb3NR2ntVEnoZVzs\n6GMg1IuqSlhsJfh8PmKD7WiGFY+nFJ/HjdNlJx5tQ5at2J2l6Dok1TSxmIqquairNukND6tHTYep\nKFHpj+aLGIwBSr0GoVh+J7ihR6kqj9HVq1NaYuL1OlEsCindQip6nqhxR0EGqMzZQu8wJwMAu9SF\nrkvEUyBbLEiyQVrtorx6FYotP4uWSkUw9DAlFYVWWAPdJwjUL8UwdCJ9LWjJODo+XJ5qBvtOEKhf\nUVCbO/S649TMX4WuxYn0nSYWjuMuW4wsK4QHWiipqMPuKPTdjEe6SAyewuKcjdtbmBFORLpxuB04\nvX5CFz9D06y4fJfiTsT6sNqhxD/nq+X0U+jJOO6yS96okf6TVH0lWGPhHkK9F/D45iN/1Wlv6Cqp\nRAuV9SsJ9Z4jGYvhHSFTHOo+hGHYqajNH2ygJiNE+ltRrD5sTj+xcBtWq4nXP5dI70kkJYDDNXTu\nTdMgMXiWVDKK0zcUY2zwDBarFTUZprRiORarAzU1gJ7oJG04sDmrUOOdJGO9yFKKyspyfM4ISxa6\n+OajdzF//sg3AjOB4QJVki6N5r4k/A0++ugjmpqa+Otf/8qdd95JY2Mjq1evLigtyiQr0uk0fn/h\nZLepwvnz57nvvvs4fvw4Hs/Ik9UE0xIhVgXXnlOnTnHXXXexYMECHn74YdatW0cgEKCzs7MgQxsM\nBgEu2+lgqjWGjUYmzoxAna41uRcvdvG3I+dp7dT48uxFevrixGJDNjexWIJEIoZsLcflno1FHsTt\nVInHNaz2cnweNw6HhCwZRMOt2OxOdLOEaEwlqXmwOQKQHqCsxGAgOkyopiNU+OIEI/kNO4ahU1XS\nQc9gFW5HnBIvWBRQVZ1QqAtsi0im0mDqkMnSo6IlL+KtXI7Nni8II32fUDrrjoJsaGywHZfXg92d\naUwziUd6SMXDRIJf4C5biNuXb/k1ZDt1En9NfqmAaZpEBlqJhk7jcNUV1GkCDPZ9QUXtUixfLaVH\nBtqJh/uRJDuSbEVR4njKFxW8TtcSBDuPYJEVymaNPP0qEenEMMNoqTSeskUjfvZCPUdRrF5ka2k2\nc5t/PC4QDn5Jee0dOJz55yo+2EIi2oPNMR89HUUiRUnFfEzTINx/AUwLTs+lGxc1GSIe7SURbcdb\nOhenpwKr1UssdJJkIoWnbDGSJJGM96Cn4uhaBKttyIwf9Rxurw2n3UZpWQCrTabEo3J3w83cu3ox\nXm+hHdhMYySBmsmgZsSnYRh8+umnNDU1cfDgQVasWMG2bdtYs2YNijK95wFFo1Huu+8+fvrTn/Lo\no48WOxzB5CLEquDao+s6fX19zJo1sWW1iTgdZETpcKeDjKitrKy8LKeDq20MG29/hltuzfQRuIlE\ngr9+cJy/fdSCmi4jHLXQ1tpGJJokqRqAgmEf2fiJAAAXy0lEQVTIxOMJJIsdhzOARXFCuh+MHmSL\nC4+vAllKg5kmnogQj0VxOd0kjYx/o4mmhrHaHJS4k4TjZUgSXzWRVSLLCoolhWHa0NQ4Vmsad3m+\nnZSWipBK9lJaUTgmdaDnOJW1t+e7cBhp+jv/F4c3gJpKo2saLu9sFMWJYRiE+7/AX7O8IIuqq1EM\nvQevfzGR/vOkkgm0ZByXdy5GWkNN9VA+a+nwEIbi6PoQm7uKVDyM01OHolwqt0jG+5BkPZvtTUYv\nEgn1YaRl3L7ZxMKtON0+3CWXyh90LTG0bB6LIVk8WGzWrF9rdrvRdpLRPkzTSVqL4CqtyzZamUaa\n+OBZErEoDs9cFMVBPHIWi91Jif9mogOtaIlebO6bsp6lpmmSil8k0n8WZJkS/2LsrkoMQyM22I6h\nRbFYy7Hay1ETXaS1frRkN2k9ga+kBqvdgYQGeg+lpeUEKhwsmu/gsc2rcblcM2al5XKZiEA1TZMv\nvviC119/nT//+c8sXryYb33rW6xbtw6r1TrOO0wPdF1n48aNbNiwgR07dhQ7HMHkI8SqYHoyktNB\nrtvB1TgdZH6O5nQw/HejxZcRp7quI8vylFneLya5WWVVVTnT0kbL+TAnT7czMCiRNkuIJyz09XWR\nTOkYlIJkJW0qpBIDWCx27O5KrLahTGgy1o5kRrG752GxurLvER04hcsTwOq41Kyj60ni4fP4KhZi\nyTGN1/UEarQFb8Xy7HnR1BipRD+JSCcOdxWGnkQyNTRdxuWdQzx8AYfbX2DJNCRYT+CvXo4kWzCN\nNIloJ1pKJRHrRU0NEqi/p2A6lq4nSUbb8FcvG8oexvrQE30kEikMUwEjgs9/M4qtsCQgOngBTQ2B\nZMXmqMJuz296SsR6kS0aNruHeKQPTHB5516KWVeJR0/jq1hEMtqDnhrE6piDYr0kilPJXky9G8O0\ngGHB4b350nJyWiMR7SKtR0jGzuP2zUZxVGJ3BoiFW0lrKmlNxWb3IxFDsaSwWWNYpRCSZOBwzULT\nwOs2qK82+dY3V7Nw4ZD4zhVimZu84ZnC0ZxKxnMsmcpm/GOR23ypaUNzlnNrUDN1vGfOnKGpqYl9\n+/Yxb948GhsbWb9+PXa7fZx3mH5s376diooKXnrppWKHIrg2CLE6lXj55Zf51a9+haIoPPLII/zy\nl78sdkjTmqt1OqitraW6unrCTgeZ98z8fTpP1JpMMpPGMmUPmWOSazI+HoZhcO58Gye/7KLlXA+9\nwQQOVyWJhEQsYdDb20HadKGqOrqWBklBVWOYpowpOUmnTQwDJAki4W4cnmpARpYdmEYaWUqQSgRJ\nmzJ2WxkWWxkOVxWGYRALfY7dVYbLm1+rmoh1I0sxPGWLMU2DVLwPIx0HQyUebQdJQbKU4vblCDtD\nJxo6i88/Jys8TSONGu8hrUeJR9qRFRdOz3xs9tK894uGW7E7bDg9NaTi7aTVBKlkEuShBrB45Dwe\nXwCba2gFQ02G0JIhMBOkEmGMtIrTMwun76avbIt0ktFudD1FWoujJbtwe6ux2EqwOWtQU0HUxCBp\nXQMzCbIbLTWAIqs4nF5kBcxUGFXX8JXOwumQqPD7KPMpuF06pPsJVAYYGOjD7bLy0IMruWneyJZb\nwz8vownUyxWUo5UKDRe3MLm+pdeCkY6LzWbLE6jnz59n165dvPPOO1RXV/PEE0/wyCOP4HK5xn+D\nacqhQ4e49957WbZsWfYcPf/886xfv77YoQkmDyFWpwrvvfcezz//PG+//TaKotDX10dFRWGNmGBy\nmYjTQTwexzTNAqeDWbNmEY1GOXfuHJIk8U//9E95WdPRDLzHyu7MBDJLkxmBOtXKHmKxGB8fO8Pp\nMz2ca+0lkbJit1cQTxrE4zrB3lZQSr+KU8ZqdZNSYySiXdgdJejpFKYxJLzTukwk2o+RtmB3zcVi\nK2Fo9yRUNYKZDuN0VyLJNiRUMFUkUyUS6UWS7ENWbbKLEv8yZFnBNNMko52YZhibsxwJA0NPoOsJ\nJFMjHouialE8vvlYrD4UqwvTiGCRVCwWHUWKoWlx1JSKiR+LrQyLxcSqGNhsVmxWg2TsHFbFgqal\ncHrqscgmHreTslI3LpeEw6aTSvQRqPBjc1jQ1RiLF9WzZNFsysrKJr2uenim8GoF6tXEMNWytOMJ\nd9M06ejo4I033mDv3r34/X62bt3Kpk2bbog6XcENgxCrU4XGxka+973vsXbt2mKHIhhGrtNBS0sL\nTU1N7N+/n2PHjuH1elm5ciUA4XAYq9Wazc5mrLsyAnc8p4OJDFcottAbjZFst3KzylM17slipHOa\nezxyawNzz20sFuPYZ6fp6glTVVGG1+ukrNRDebkPt9s9YkbMMAySySTBYD8Wi0xNTaEd11RnKgjU\ny+Vqs7QTbfI0DANVVccUqN3d3bz55pv88Y9/xOVy8c1vfpMtW7Zkm08FghmGEKtThdtvv51HH32U\n5uZmnE4nL7zwAqtWFc7pFhQXVVV54okn+PrXv87GjRuZPfvSWEzTNEkkEnl2XbkZ2r6+PgAURRnR\n6aC2tpby8vLsti53BO5kN4aNR25dbmYUrih7GFu4Z87NaNOHZnImfjoK1CvhSrK0GRGaTqcxTRNF\nUVBVFZ/Ph8UyNMksGAyye/dudu/ejaIofOMb3+Dxxx+fklZSzc3NPP300xiGwT/+4z/y7LPPFjsk\nwfRGiNXryYMPPkh3d3f2ceaC9fOf/5yf/OQnrF27lp07d/Lhhx/S2NhIS0tLEaMVXAuuhdPB8C/D\n0ZYqJ0PQ5k7V0nV9WtpuXQsyAjVzbDLG61ci3McSOSNl4qfCjctY+5LrhAGFzUA3IsOPi2EYBSVE\n69ev5+TJk1RWVmZvDG+55RbWrFnDokWLqKur47bbbptyfqKGYbBw4UL2799PTU0NDQ0NvPbaa2Ki\nlOBqGPFCMb3N1qYw+/btG/Vvv/71r3n88ccBaGhoQJZlgsHglLxrFlw5kiRht9uZO3cuc+fOHfE5\nozkdfPrpp2M6HeQ2h82aNSvrdJDZ3uWMwM0VnsOzYYqiYLPZcLlcN6zYgEuZ5eGz1R0Ox1UJd0mS\nxhW4ozX8jXXjMlZpyWSex9HslHItpm5Ucv8vGYaBoig4HI68rHskEuGPf/wjdXV1lJeXc//997Nw\n4cK8aVLHjh2jo6OD3/zmN9x2221F3qt8Dh8+zIIFC5gzZ8hveNu2bWL8qeCaIMRqEdiyZQsHDhxg\nzZo1nD59Gk3TprVQffHFF/nRj35EX19fdmlbMDEyX+6ZIQgjMZrTwXvvvXdZTgdWqzVP0GaERsa6\nK4Msy1gsFiwWS1bwZFZgbiTxMXziWCaz7HQ6r2tmOVeEjsZo9dGZ8zyZnfCjCVS32y0E6lefGVVV\ns24Ydrs9T6DGYjGam5vZtWsXwWCQjRs38vLLLzNnzpxpd+w6Ojqor7/k+lBXV8fhw4eLGJFgpiLE\nahF48skn+Yd/+AeWLVuG3W7n1VdfLXZIV0x7ezv79u3L3lkLJp+MeAgEAgQCgWyTVy6jOR188MEH\neU4HADbbkO+oqqp88cUXbNq0ieeeew6fz4fT6cxuL/PFO1MawyZCbjYsIzamQ2Y597iPlakdKSub\nOc9j1Utntp1xfpCkoZGebrf7hq5ZhsKs+0gCNZlM8u6779LU1ERnZycbNmzg3//937n55pun9OdK\nIJgqCLFaBKxWK//5n/9Z7DAmhR/84Ae88MILbN68udih3NBkxEpZWRllZWUsX7684DmdnZ388z//\nM3/+859ZunQpDQ0NbN26lVAoxEsvvURHRweDg4PAkKAdy+kA8gXtRBvDpqKgHW4ZpChKgdiYKVxO\n2UE6nc6K03Q6nX19pkEo08V+PcsOpgrDBWom6557U6OqKgcOHKCpqYmzZ8/y0EMP8a//+q8sXrx4\nxhyT2tpaWltbs4/b29upra0d4xUCwZUhxKrgitmzZw/19fUsW7as2KEIJkBFRQVbt27l97///Zjl\nGiM5HZw+fZoDBw6M63SQaQwb7nRwPRvDxmM0b1in0zmjOtWvhOHuBplpbJljk/u861V2MFWYiEDV\nNI2DBw/S1NTEiRMnWLduHT/+8Y9Zvnz5tNjHy6WhoYEzZ85w4cIFqquree211/jDH/5Q7LAEMxDh\nBiAYk7FcDZ5//nn27duH1+tl3rx5HDlyZFrX3gomzkSdDmRZprKyclyng5EaiMZrGMrUcE5EBIxW\nZ3mjeMOOxWjuBpku/qvd9liWTmOVHVyvm5fx4s8cG03TsgI1dyJbOp3m0KFD7Nq1i08++YR7772X\nxsZGVq5ceUO4ZjQ3N7Njx46sddVzzz1X7JAE0xthXSWYPI4fP84DDzyAy+XCNM3s8s/hw4cJBALj\nb2CK8eMf/5i33noLu93O/Pnz+f3vf4/PVzibXTBxRnM6yAjaK3E6uFyf0kwNajqdzgrUG91KCa6t\nQL2SWCYiamFsV4vJKjsYTaDmWrYZhsHhw4dpamri8OHD3H333TQ2NnL33XffEAJVILiGCLEquHbM\nmzePo0ePUlZWVuxQrog//elPrF27FlmWee6555AkiX/7t38rdlgzntGcDjL/Jup04HA4MAyDVCpF\nW1tbVuRmmOmNYRNhuAjL2G8VQ6BeLsPLDkbzpYUrKzuYiHg3DIOPP/6YpqYmDh06xKpVq2hsbOSe\ne+654ZvMBIJJRIhVwbXjpptu4siRIzPCuurNN9+kqalpxjTBTXcyIiUUCmVFbK6oPX/+PB0dHQSD\nQZLJJEuXLqWxsZGysjL8fj91dXXU1NRkVwFGEj2jOR1M5cawiTCdBeqVcDllB7nNYpmyE0VR6Ojo\noLq6Go/Hg2EYfP7557z++uu8//77LFu2jG3btnH//ffn3QxNRcRqkWCaIsSqQDARNm/ezLZt2/j2\nt79d7FAE4/Db3/6WH/7wh6xdu5bHHnuMNWvWEI/H8wRtR0fHFTsdTJfaylxuNIF6OQw/NrnnDobq\nT++55x7a2tqw2WzIsozT6eTWW2/lzjvvZPbs2dTV1XHvvfdOuWlSwxGrRYJpihCrghub0ZrFfvGL\nX7Bp0yYAfvGLX3D06FGampqKFabgMggGgzgcDtxu94SeP5LTQW4dbTAYzNpXTbbTwfDfTSajdarf\n6KNxYeTmOpvNlifeTdOkpaWFpqYm3nnnHWbPns3mzZtZsGABwWAw+/nI/PzNb37D7Nmzi7xnE0es\nFgmmEUKsCgRj8corr/Af//EfHDhwALvdXuxwBEUi43TQ2dmZVz97OU4HgUAgu8Q8UpYWrr5ZSAjU\n0RnN/cFqtWbrS03TpLW1lV27dvE///M/zJo1i61bt7Jx48YJ3/xMF8RqkWAaIcSqQDAazc3NPPPM\nMxw8eHBa2281Nzfz9NNPZ21knn322WKHNCMZy+mgvb2d7u7uUZ0OMoK2qqoqOwJ3Is1CuQ4HGcN+\ni8WSzRIWu/yg2GSOXWZYwWgC9eLFi7zxxhvs3buXkpIStm7dyubNm6dlPadYLRLMQIRYFQhGY8GC\nBaiqmhWqd911F7/61a+KHNXlYRgGCxcuZP/+/dTU1NDQ0MBrr73G4sWLix3aDclkOR2kUik++eQT\nvF5vwfSjG2EE7lhkBGomgwoU2JOZpklvby9vvvkme/bswel08o1vfIPHHnts2rqXTBSxWiSYhox4\nsZra7YwCwXXiyy+/LHYIV83hw4dZsGABc+bMAWDbtm3s3r1biNUikRGJgUCAQCDAypUrC54zmtPB\n/v37+dvf/sbJkyeJxWLcfvvtzJs3D4/HQ0VFRV5jWG1tLQ6HI7u9mTACdzyGj8jNTJLKFaj9/f3s\n2bOH3bt3I0kSjz/+OP/93/+N3++fVvt6pTQ3N/PCCy9w8OBBIVQF0x4hVgWCGUJHRwf19fXZx3V1\ndRw+fLiIEQnGIyMSy8vLKS8vZ/ny5cRiMebOncvatWt5+umn2bBhA263m0gkkidojx07xt69e+ns\n7JyQ00FpaemYXqXFHIE7EUYSqMNH5IZCId566y3efPNNVFVly5YtvPrqq1RVVd0QAjWXp556ClVV\nefDBB4HpuVokEGQQYlUgEAimEG63m87OTqxWa97vfT4fS5cuZenSpSO+biSng9OnT3PgwIEJOR3U\n1tZmy2AyolbX9ctqDLucEbgTIbcGdTSBGo1G2bt3L2+88QaDg4Ns3ryZ3/72t9TV1d1wAjWXmbBa\nJBBkEGJVIJgh1NbW0tramn2cGYErmH4MF6oTQZIkXC4XCxYsYMGCBSM+ZzSngw8++KDA6SAQCOSN\nvx3udAAUlByMNwJ3Ik4HuTWohmGMKFDj8TjvvPMOu3btoru7m40bN7Jz507mzp17QwtUgWCmIhqs\nBIIZQjqdZtGiRezfv5/q6mruvPNO/vCHP7BkyZJih3bFtLe3s337drq7u5Flme9+97t8//vfL3ZY\nM5pr4XQwvORgeGNY5n0zz1EUBUVRsNlsWfGZTCb505/+RFNTE21tbaxfv57GxkYWLlw4bQTqiy++\nyI9+9CP6+vpmxLQ/geAaINwABIKZTnNzMzt27MhaVz333HPFDumq6OrqoqurixUrVhCNRlm5cqVo\nGpsCTNTpwDRNSktLC5wOampqsNvtHDlyBFVVeeSRR/Kao0zTZM2aNUQiEaqqqtA0jWAwyC233MJD\nDz3EXXfdRX19PbW1tVeUhS4G7e3tfOc73+HUqVN89NFHQqwKBCMjxKpAIJjebNmyhaeeeop169YV\nOxTBOOQ6HWTE7MmTJzlw4AAff/wxwWCQhoYG/H4/mqZRVVVFdXU1tbW1DAwMcPbsWS5cuMCtt95K\nXV0dFoslW4+b+ffiiy+ydevWYu/qhNi6dSs/+9nP2Lx5sxCrAsHoCOsqgUAwfTl//jyffPIJf/d3\nf1fsUAQTYLjTwW233cbOnTspLS3l5Zdf5uGHH85abo3kdPDDH/6QhoaGGTGNa8+ePdTX17Ns2bJi\nhyIQTEtEZlUgEEx5otEo9913Hz/96U959NFHix2O4ArJ1KrOREabJvXzn/+c559/nn379uH1epk3\nbx5HjhyZ1pPyBIJriCgDEAgE0w9d19m4cSMbNmxgx44dxQ5HILgsjh8/zgMPPIDL5cI0zaxLx+HD\nhwkEAsUOTyCYagixKhAIph/bt2+noqKCl156qdihTCqGYbBq1Srq6urYs2dPscMRXCfmzZvH0aNH\nZ/yoV4HgChlRrE7/YiCBQDBjOXToEP/1X//FgQMHuP3227njjjtobm4udliTws6dO0c1+BfMXDKO\nBwKBYOKIBiuBQDBlWb16Nel0uthhTDrt7e28/fbb/OQnP5lxGWPB2LS0tBQ7BIFg2iEyqwKBQHCd\n+cEPfsALL7wwY5uNBAKBYDIRYlUgEAiuI3v37qWqqooVK1ZkvUgF15eXX36ZJUuWsGzZsmk/OEMg\nuBEQZQACgUBwHTl06BB79uzh7bffJpFIEIlE2L59O6+++mqxQ7sheO+993jrrbf47LPPUBSFvr6+\nYockEAjGQbgBCAQCQZF4//33efHFF2eMG8Dg4CDf+c53OH78OLIs87vf/W7KDXFobGzke9/7HmvX\nri12KAKBoBDhBiAQCASCa8eOHTt4+OGH+eKLLzh27BhLliwpdkgFnD59moMHD3LXXXdx//33c+TI\nkWKHJBAIxkGUAQgEAkGRWLNmDWvWrCl2GJNCOBzmL3/5C6+88goAiqLg8/mKEstY06R0XWdgYIAP\nPviADz/8kCeeeEJ06AsEUxwhVgUCgUBw1Zw7d46KigqefPJJjh07xqpVq9i5cydOp/O6x7Jv375R\n//brX/+axx9/HICGhgZkWSYYDIrxpwLBFEaUAQgEAoHgqtF1naNHj/Iv//IvHD16FJfLxS9/+cti\nh1XAli1bOHDgADBUEqBpmhCqAsEUZ7wGK4FAIBAIxkWSpCrgr6Zp3vTV468Bz5qmuam4keUjSZIV\n+B2wAkgBz5im+X5xoxIIBGMhygAEAoFAcNWYptktSVKbJEkLTdM8DawDThQ7ruGYpqkB/6fYcQgE\ngokjMqsCgUAgmBQkSboN+L+AFWgBnjRNc7C4UQkEgumOEKsCgUAgEAgEgimLaLASCAQCgUAgEExZ\nhFgVCAQCgUAgEExZhFgVCAQCgUAgEExZ/h/AUzzE53p3VAAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10bef6550>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"from mpl_toolkits.mplot3d import Axes3D\n",
|
||
"\n",
|
||
"x = numpy.linspace(-5, 5, 50)\n",
|
||
"y = numpy.linspace(-5, 5, 50)\n",
|
||
"X, Y = numpy.meshgrid(x, y)\n",
|
||
"R = numpy.sqrt(X**2 + Y**2)\n",
|
||
"Z = numpy.sin(R)\n",
|
||
"\n",
|
||
"figure = plt.figure(1, figsize = (12, 4))\n",
|
||
"subplot3d = plt.subplot(111, projection='3d')\n",
|
||
"surface = subplot3d.plot_surface(X, Y, Z, rstride=1, cstride=1, cmap=matplotlib.cm.coolwarm, linewidth=0.1)\n",
|
||
"plt.show()\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"Another way to display this same data is *via* a contour plot."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 30,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAWsAAAEACAYAAAB1dVfhAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10abf87d0>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.contourf(X, Y, Z, cmap=matplotlib.cm.coolwarm)\n",
|
||
"plt.colorbar()\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Scatter plot"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"To draw a scatter plot, simply provide the x and y coordinates of the points."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 31,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEACAYAAABVtcpZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10b24d790>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"from numpy.random import rand\n",
|
||
"x, y = rand(2, 100)\n",
|
||
"plt.scatter(x, y)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"You may also optionally provide the scale of each point."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 32,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEACAYAAABVtcpZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\njDFxzIqAMcbEMSsCxhgTx/4fne1JxcibaUAAAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10a9cb310>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x, y, scale = rand(3, 100)\n",
|
||
"scale = 500 * scale ** 5\n",
|
||
"plt.scatter(x, y, s=scale)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"And as usual there are a number of other attributes you can set, such as the fill and edge colors and the alpha level."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 33,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": true
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYEAAAEACAYAAABVtcpZAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10b24a550>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"for color in ['red', 'green', 'blue']:\n",
|
||
" n = 100\n",
|
||
" x, y = rand(2, n)\n",
|
||
" scale = 500.0 * rand(n) ** 5\n",
|
||
" plt.scatter(x, y, s=scale, c=color, alpha=0.3, edgecolors='blue')\n",
|
||
"\n",
|
||
"plt.grid(True)\n",
|
||
"\n",
|
||
"plt.show()\n"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Lines\n",
|
||
"You can draw lines simply using the `plot` function, as we have done so far. However, it is often convenient to create a utility function that plots a (seemingly) infinite line across the graph, given a slope and an intercept. You can also use the `hlines` and `vlines` functions that plot horizontal and vertical line segments.\n",
|
||
"For example:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 34,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAW8AAAEACAYAAAB8nvebAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n2gAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10b24dc90>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"from numpy.random import randn\n",
|
||
"\n",
|
||
"def plot_line(axis, slope, intercept, **kargs):\n",
|
||
" xmin, xmax = axis.get_xlim()\n",
|
||
" plt.plot([xmin, xmax], [xmin*slope+intercept, xmax*slope+intercept], **kargs)\n",
|
||
"\n",
|
||
"x = randn(1000)\n",
|
||
"y = 0.5*x + 5 + randn(1000)*2\n",
|
||
"plt.axis([-2.5, 2.5, -5, 15])\n",
|
||
"plt.scatter(x, y, alpha=0.2)\n",
|
||
"plt.plot(1, 0, \"ro\")\n",
|
||
"plt.vlines(1, -5, 0, color=\"red\")\n",
|
||
"plt.hlines(0, -2.5, 1, color=\"red\")\n",
|
||
"plot_line(axis=plt.gca(), slope=0.5, intercept=5, color=\"magenta\")\n",
|
||
"plt.grid(True)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Histograms"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 35,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYgAAAEPCAYAAABY9lNGAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nTjAo4A1y6gAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10affd910>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"data = [1, 1.1, 1.8, 2, 2.1, 3.2, 3, 3, 3, 3]\n",
|
||
"plt.subplot(211)\n",
|
||
"plt.hist(data, bins = 10, rwidth=0.8)\n",
|
||
"\n",
|
||
"plt.subplot(212)\n",
|
||
"plt.hist(data, bins = [1, 1.5, 2, 2.5, 3], rwidth=0.95)\n",
|
||
"plt.xlabel(\"Value\")\n",
|
||
"plt.ylabel(\"Frequency\")\n",
|
||
"\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 36,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": true
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEPCAYAAAC3NDh4AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSikVkBYJpZRSAf1/CDtE6Uj/fs0AAAAASUVORK5CYII=\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10bf8d4d0>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"data1 = numpy.random.randn(400)\n",
|
||
"data2 = numpy.random.randn(500) + 3\n",
|
||
"data3 = numpy.random.randn(450) + 6\n",
|
||
"data4a = numpy.random.randn(200) + 9\n",
|
||
"data4b = numpy.random.randn(100) + 10\n",
|
||
"\n",
|
||
"plt.hist(data1, bins=5, color='g', alpha=0.75, label='bar hist') # default histtype='bar'\n",
|
||
"plt.hist(data2, color='b', alpha=0.65, histtype='stepfilled', label='stepfilled hist')\n",
|
||
"plt.hist(data3, color='r', histtype='step', label='step hist')\n",
|
||
"plt.hist((data4a, data4b), color=('r','m'), alpha=0.55, histtype='barstacked', label=('barstacked a', 'barstacked b'))\n",
|
||
"\n",
|
||
"plt.xlabel(\"Value\")\n",
|
||
"plt.ylabel(\"Frequency\")\n",
|
||
"plt.legend()\n",
|
||
"plt.grid(True)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Images\n",
|
||
"Reading, generating and plotting images in matplotlib is quite straightforward.\n",
|
||
"\n",
|
||
"To read an image, just import the `matplotlib.image` module, and call its `imread` function, passing it the file name (or file object). This returns the image data, as a NumPy array. Let's try this with the `my_square_function.png` image we saved earlier."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 37,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"(288, 432, 4) float32\n"
|
||
]
|
||
}
|
||
],
|
||
"source": [
|
||
"import matplotlib.image as mpimg\n",
|
||
"\n",
|
||
"img = mpimg.imread('my_square_function.png')\n",
|
||
"print img.shape, img.dtype"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"We have loaded a 288x432 image. Each pixel is represented by a 4-element array: red, green, blue, and alpha levels, stored as 32-bit floats between 0 and 1. Now all we need to do is to call `imshow`:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 38,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAEACAYAAACj0I2EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRiqHmQAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10aa9fd10>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.imshow(img)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"Tadaaa! You may want to hide the axes when you are displaying an image:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 39,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAEACAYAAACj0I2EAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nP7kre5pDEhmNAAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10c1e3bd0>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.imshow(img)\n",
|
||
"plt.axis('off')\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"It's just as easy to generate your own image:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 40,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"[[ 0 1 2 ..., 97 98 99]\n",
|
||
" [ 100 101 102 ..., 197 198 199]\n",
|
||
" [ 200 201 202 ..., 297 298 299]\n",
|
||
" ..., \n",
|
||
" [9700 9701 9702 ..., 9797 9798 9799]\n",
|
||
" [9800 9801 9802 ..., 9897 9898 9899]\n",
|
||
" [9900 9901 9902 ..., 9997 9998 9999]]\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAD/CAYAAADRymv0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10c6d15d0>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"img = numpy.arange(100*100).reshape(100, 100)\n",
|
||
"print img\n",
|
||
"plt.imshow(img)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"As we did not provide RGB levels, the `imshow` function automatically maps values to a color gradient. By default, the color gradient goes from blue (for low values) to red (for high values), but you can select another color map. For example:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 41,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAP4AAAD/CAYAAADRymv0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nHEyyGAAAAABJRU5ErkJggg==\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10c8b8e90>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.imshow(img, cmap=\"hot\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"You can also generate an RGB image directly:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 42,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": true
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAW0AAAD7CAYAAAChScXIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAADQFJREFUeJzt3FGIpXd9xvHvsyxCoxCCdDeQqK3IbqFQFqW5SS9WtCYU\nQsSLNs2NeiG5aNpeanuzmzvTi1BBFNFtSItBbCFNNhcai4QSSutSm8a0cVdoE43NTkJJRWkvQvLr\nxZwkZ3dndmbnnDNnfu//+4HDnvPOmTn/N8/MM+//NzNJVSFJ6uHQuhcgSdo9S1uSGrG0JakRS1uS\nGrG0JakRS1uSGjm86hdI4u8UStIeVFUuP7ZQaSe5HfhzNq/Yz1TV/Vs/8ytbHDsL3LHIyx9g/c7t\n0KFw9OgvXXI7cmT+8XVv3f/yl+/nvvvuW/eSV+b06dOcPn163cu4Jm+8/jr/t7Fx6e3ll9+6/79z\nx7+5sdHss/Pa9Pvq29o92xzf83gkySHgi8BtwK8Dv5/k1/b68SRJO1tkpn0L8KOqeqGqXgO+Ady5\nnGVpv+WKTZikg2iR0r4J+Mnc4xdnx3bp2AIvfdD1O7dr+b8ZnDx5cmXrOAimfn79PjuvzdTPb+U/\niNx0du7+MeD47DZVUz636Zfa1M9v2p+dfc/vPHBhF89bpLR/Crx37vHNs2NbmMKPBabN8chAkmvb\nWmlfXH4p+/g2z1tkPHIO+ECS9yV5B3AX8NgCH09r5NfwQAy7tT1faVfV60nuBZ7g7V/5e25pK5Mk\nXWGhmXZVfYu+IyRJasc/YxfgTHsoht2apS3AMedQDLs1S1uSGrG0BbhjHopht2ZpC3DHPBTDbs3S\nlqRGLG1JasTSFuCYcyiG3ZqlLcAx51AMuzVLW5IasbQFuGMeimG3ZmkLcMc8FMNuzdKWpEYsbUlq\nxNIW4JhzKIbdmqUtwDHnUAy7NUtbkhqxtAW4Yx6KYbdmaQtwxzwUw27N0pakRixtSWrE0hbgmHMo\nht2apS3AMedQDLs1S1uSGrG0BbhjHopht2ZpC3DHPBTDbs3SlqRGLG1JasTSFuCYcyiG3ZqlLcAx\n51AMuzVLW5IasbQFuGMeimG3ZmkLcMc8FMNuzdKWpEYsbUlqxNIW4JhzKIbdmqUtwDHnUAy7NUtb\nkhqxtAW4Yx6KYbdmaQtwxzwUw27N0pakRixtSWrE0hbgmHMoht2apS3AMedQDLs1S1uSGrG0Bbhj\nHopht2ZpC3DHPBTDbu3wIu+c5HngZ8AbwGtVdcsyFiVJ2tpCpc1mWZ+sqleXsRhJ0tUtOh7JEj6G\nDgDHnAMx7NYWLdwCvpPkXJLPLGNBWg/HnAMx7NYWHY/cWlUvJfllNsv7uap66sqnnZ27fww4vuDL\nStK0nAcu7OJ5C5V2Vb00+/eVJI8AtwBblPYdi7yM9oE75oEkXm0fQMe59HL28W2et+fxSJLrkrxr\ndv+dwMeAZ/f68bRefg0PxLBbW+RK+yjwSJKafZyvV9UTy1mWJGkrey7tqvpP4MQS1yJJ2oG/rifA\nmfZQDLs1S1uAY86hGHZrlrYkNWJpC3DHPBTDbs3SFuCOeSiG3ZqlLUmNWNqS1IilLcAx51AMuzVL\nW4BjzqEYdmuWtiQ1YmkLcMc8FMNuzdIW4I55KIbdmqUtSY1Y2pLUiKUtwDHnUAy7NUtbgGPOoRh2\na5a2JDViaQtwxzwUw27N0hbgjnkoht2apS1JjVjaktSIpS3AMedQDLs1S1uAY86hGHZrlrYkNWJp\nC3DHPBTDbs3SFuCOeSiG3ZqlLUmNWNqS1IilLcAx51AMuzVLW4BjzqEYdmuWtiQ1YmkLcMc8FMNu\nzdIW4I55KIbdmqUtSY1Y2pLUiKUtwDHnUAy7NUtbgGPOoRh2a5a2JDViaQtwxzwUw27N0hbgjnko\nht2apS1JjVjaktSIpS3AMedQDLs1S1uAY86hGHZrlrYkNWJpC3DHPBTDbm3H0k5yJslGkmfmjt2Q\n5Ikk55N8O8n1q12mVs0d80AMu7XdXGk/CNx22bHPAX9XVceB7wJ/suyFSZKutGNpV9VTwKuXHb4T\neGh2/yHg40telyRpC3udaR+pqg2AqroIHFnekrQOjjkHYtitLesHkQ7JmnPMORDDbu3wHt9vI8nR\nqtpIciPw8tWffnbu/jHg+B5fVpKm6TxwYRfP221pZ3Z702PAp4D7gU8Cj1793e/Y5ctoXdwxDyTx\navsAOs6ll7OPb/O83fzK38PAPwDHkvw4yaeBzwO/neQ88JHZYzXm1/BADLu1Ha+0q+rubd700SWv\nRZK0A/8iUpIasbQFONMeimG3ZmkLcMw5FMNuzdKWpEYsbQHumIdi2K1Z2gLcMQ/FsFuztCWpEUtb\nkhqxtAU45hyKYbdmaQtwzDkUw27N0pakRixtAe6Yh2LYrVnaAtwxD8WwW7O0JakRS1uSGrG0BTjm\nHIpht2ZpC3DMORTDbs3SlqRGLG0B7piHYtitWdoC3DEPxbBbs7QlqRFLW5IasbQFOOYcimG3ZmkL\ncMw5FMNuzdKWpEYsbQHumIdi2K1Z2gLcMQ/FsFuztCWpEUtbkhqxtAU45hyKYbdmaQtwzDkUw27N\n0pakRixtAe6Yh2LYrVnaAtwxD8WwW7O0JakRS1uSGrG0BTjmHIpht2ZpC3DMORTDbs3SlqRGLG0B\n7piHYtitWdoC3DEPxbBbs7QlqRFLW5IasbQFOOYcimG3ZmkLcMw5FMNuzdKWpEYsbQHumIdi2K3t\nWNpJziTZSPLM3LFTSV5M8v3Z7fbVLlOr5o55IIbd2m6utB8Ebtvi+ANV9cHZ7VtLXpckaQs7lnZV\nPQW8usWb3GNJ0j5bZKZ9b5Knk3wtyfVLW5HWwjHnQAy7tb2W9peA91fVCeAi8MDylqR1cMw5EMNu\n7fBe3qmqXpl7+FXg7NXfY/7Nx4Dje3lZSZqs88CFXTxvt6Ud5mbYSW6sqouzh58Anr36u9+xy5fR\nurhjHkji1fYBdJxLL2cf3+Z5O5Z2koeBk8C7k/wYOAV8OMkJ4A3geeCeRRar9fNreCCG3dqOpV1V\nd29x+MEVrEWStAP/IlKSGrG0BTjTHopht2ZpC3DMORTDbs3SlqRGLG0B7piHYtitWdoC3DEPxbBb\ns7QlqRFLW5IasbQFOOYcimG3ZmkLcMw5FMNuzdKWpEYsbQHumIdi2K1Z2gLcMQ/FsFuztCWpEUtb\nkhqxtAU45hyKYbdmaQtwzDkUw27N0pakRixtAe6Yh2LYrVnaAtwxD8WwW7O0JakRS1uSGrG0BTjm\nHIpht2ZpC3DMORTDbs3SlqRGLG0B7piHYtitWdoC3DEPxbBbs7QlqRFLW5IasbQFOOYcimG3ZmkL\ncMw5FMNuzdKWpEYsbQHumIdi2K1Z2gLcMQ/FsFuztCWpEUtbkhqxtAU45hyKYbdmaQtwzDkUw27N\n0pakRixtAe6Yh2LYrVnaAtwxD8WwW7O0JamRNZb2+fW99MpN+dzgySefXPcSVmrq5zftz87pn98a\nS/vC+l565fqd27WMOadealM/v36fnddm6ufneESAY06pC0tbkhpJrfgSK4nXcJK0B1V1xeBy5aUt\nSVoexyOS1IilLUmN7HtpJ7k9yQ+TXEjy2f1+/VVL8nySf03yL0m+t+71LCrJmSQbSZ6ZO3ZDkieS\nnE/y7STXr3ONi9jm/E4leTHJ92e329e5xr1KcnOS7yb5tyQ/SPJHs+OTyG+L8/vD2fFJ5LedfZ1p\nJznE5q9RfgT4L+AccFdV/XDfFrFiSf4D+FBVvbrutSxDkt8CfgH8ZVX9xuzY/cB/V9Wfzb7x3lBV\nn1vnOvdqm/M7Bfy8qh5Y6+IWlORG4MaqejrJu4B/Bu4EPs0E8rvK+f0eE8hvO/t9pX0L8KOqeqGq\nXgO+weZ/5CkJExo7VdVTwOXfgO4EHprdfwj4+L4uaom2OT/YzLG1qrpYVU/P7v8CeA64mYnkt835\n3TR7c/v8trPf5XIT8JO5xy/y9n/kqSjgO0nOJfnMuhezIkeqagM2v3CAI2tezyrcm+TpJF/rOj6Y\nl+RXgBPAPwJHp5bf3Pn90+zQpPKbN5krwgPk1qr6IPA7wB/Mtt9TN7XfG/0S8P6qOgFcBFpvs2ej\ng78B/nh2RXp5Xq3z2+L8JpXf5fa7tH8KvHfu8c2zY5NRVS/N/n0FeITNkdDUbCQ5Cm/NFV9e83qW\nqqpeqbd/2PNV4DfXuZ5FJDnMZqH9VVU9Ojs8mfy2Or8p5beV/S7tc8AHkrwvyTuAu4DH9nkNK5Pk\nutl3fZK8E/gY8Ox6V7UU4dIZ4WPAp2b3Pwk8evk7NHPJ+c2K7E2foHeGfwH8e1V9Ye7YlPK74vwm\nlt8V9v0vIme/fvMFNr9hnKmqz+/rAlYoya+yeXVdwGHg693PL8nDwEng3cAGcAr4W+CvgfcALwC/\nW1X/s641LmKb8/swm/PRN4DngXvenAF3kuRW4O+BH7D5OVnAnwLfA75J8/yucn53M4H8tuOfsUtS\nI/4gUpIasbQlqRFLW5IasbQlqRFLW5IasbQlqRFLW5IasbQlqZH/B0DxTeBx6kkGAAAAAElFTkSu\nQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10c8e2b10>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"img = numpy.empty((20,30,3))\n",
|
||
"img[:, :10] = [0, 0, 0.6]\n",
|
||
"img[:, 10:20] = [1, 1, 1]\n",
|
||
"img[:, 20:] = [0.6, 0, 0]\n",
|
||
"plt.imshow(img)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"Since the `img` array is just quite small (20x30), when the `imshow` function displays it, it grows the image to the figure's size. By default it uses [bilinear interpolation](https://en.wikipedia.org/wiki/Bilinear_interpolation) to fill the added pixels. This is why the edges look blurry.\n",
|
||
"You can select another interpolation algorithm, such as copying the color of the nearest pixel:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 43,
|
||
"metadata": {
|
||
"collapsed": false,
|
||
"scrolled": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAW0AAAD7CAYAAAChScXIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n0QYYRLQBBhFtgEH+DzauLdnV5hW0AAAAAElFTkSuQmCC\n",
|
||
"text/plain": [
|
||
"<matplotlib.figure.Figure at 0x10c8caf90>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"plt.imshow(img, interpolation=\"nearest\")\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Animations\n",
|
||
"Although matplotlib is mostly used to generate images, it is also capable of displaying animations, depending on the Backend you use. In a Jupyter notebook, we need to use the `nbagg` backend to use interactive matplotlib features, including animations. We also need to import `matplotlib.animation`."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 44,
|
||
"metadata": {
|
||
"collapsed": true
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"%matplotlib nbagg\n",
|
||
"import matplotlib.animation as animation"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"In this example, we start by creating data points, then we create an empty plot, we define the update function that will be called at every iteration of the animation, and finally we add an animation to the plot by creating a `FuncAnimation` instance.\n",
|
||
"\n",
|
||
"The `FuncAnimation` constructor takes a figure, an update function and optional arguments. We specify that we want a 100-frame long animation, with 20ms between each frame. At each iteration, `FuncAnimation` calls our update function and passes it the frame number `num` (from 0 to 99 in our case) followed by the extra arguments that we specified with `fargs`.\n",
|
||
"\n",
|
||
"Our update function simply sets the line data to be the first `num` data points (so the data gets drawn gradually), and just for fun we also add a small random number to each data point so that the line appears to wiggle."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 45,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"application/javascript": [
|
||
"/* Put everything inside the global mpl namespace */\n",
|
||
"window.mpl = {};\n",
|
||
"\n",
|
||
"mpl.get_websocket_type = function() {\n",
|
||
" if (typeof(WebSocket) !== 'undefined') {\n",
|
||
" return WebSocket;\n",
|
||
" } else if (typeof(MozWebSocket) !== 'undefined') {\n",
|
||
" return MozWebSocket;\n",
|
||
" } else {\n",
|
||
" alert('Your browser does not have WebSocket support.' +\n",
|
||
" 'Please try Chrome, Safari or Firefox ≥ 6. ' +\n",
|
||
" 'Firefox 4 and 5 are also supported but you ' +\n",
|
||
" 'have to enable WebSockets in about:config.');\n",
|
||
" };\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure = function(figure_id, websocket, ondownload, parent_element) {\n",
|
||
" this.id = figure_id;\n",
|
||
"\n",
|
||
" this.ws = websocket;\n",
|
||
"\n",
|
||
" this.supports_binary = (this.ws.binaryType != undefined);\n",
|
||
"\n",
|
||
" if (!this.supports_binary) {\n",
|
||
" var warnings = document.getElementById(\"mpl-warnings\");\n",
|
||
" if (warnings) {\n",
|
||
" warnings.style.display = 'block';\n",
|
||
" warnings.textContent = (\n",
|
||
" \"This browser does not support binary websocket messages. \" +\n",
|
||
" \"Performance may be slow.\");\n",
|
||
" }\n",
|
||
" }\n",
|
||
"\n",
|
||
" this.imageObj = new Image();\n",
|
||
"\n",
|
||
" this.context = undefined;\n",
|
||
" this.message = undefined;\n",
|
||
" this.canvas = undefined;\n",
|
||
" this.rubberband_canvas = undefined;\n",
|
||
" this.rubberband_context = undefined;\n",
|
||
" this.format_dropdown = undefined;\n",
|
||
"\n",
|
||
" this.image_mode = 'full';\n",
|
||
"\n",
|
||
" this.root = $('<div/>');\n",
|
||
" this._root_extra_style(this.root)\n",
|
||
" this.root.attr('style', 'display: inline-block');\n",
|
||
"\n",
|
||
" $(parent_element).append(this.root);\n",
|
||
"\n",
|
||
" this._init_header(this);\n",
|
||
" this._init_canvas(this);\n",
|
||
" this._init_toolbar(this);\n",
|
||
"\n",
|
||
" var fig = this;\n",
|
||
"\n",
|
||
" this.waiting = false;\n",
|
||
"\n",
|
||
" this.ws.onopen = function () {\n",
|
||
" fig.send_message(\"supports_binary\", {value: fig.supports_binary});\n",
|
||
" fig.send_message(\"send_image_mode\", {});\n",
|
||
" fig.send_message(\"refresh\", {});\n",
|
||
" }\n",
|
||
"\n",
|
||
" this.imageObj.onload = function() {\n",
|
||
" if (fig.image_mode == 'full') {\n",
|
||
" // Full images could contain transparency (where diff images\n",
|
||
" // almost always do), so we need to clear the canvas so that\n",
|
||
" // there is no ghosting.\n",
|
||
" fig.context.clearRect(0, 0, fig.canvas.width, fig.canvas.height);\n",
|
||
" }\n",
|
||
" fig.context.drawImage(fig.imageObj, 0, 0);\n",
|
||
" };\n",
|
||
"\n",
|
||
" this.imageObj.onunload = function() {\n",
|
||
" this.ws.close();\n",
|
||
" }\n",
|
||
"\n",
|
||
" this.ws.onmessage = this._make_on_message_function(this);\n",
|
||
"\n",
|
||
" this.ondownload = ondownload;\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype._init_header = function() {\n",
|
||
" var titlebar = $(\n",
|
||
" '<div class=\"ui-dialog-titlebar ui-widget-header ui-corner-all ' +\n",
|
||
" 'ui-helper-clearfix\"/>');\n",
|
||
" var titletext = $(\n",
|
||
" '<div class=\"ui-dialog-title\" style=\"width: 100%; ' +\n",
|
||
" 'text-align: center; padding: 3px;\"/>');\n",
|
||
" titlebar.append(titletext)\n",
|
||
" this.root.append(titlebar);\n",
|
||
" this.header = titletext[0];\n",
|
||
"}\n",
|
||
"\n",
|
||
"\n",
|
||
"\n",
|
||
"mpl.figure.prototype._canvas_extra_style = function(canvas_div) {\n",
|
||
"\n",
|
||
"}\n",
|
||
"\n",
|
||
"\n",
|
||
"mpl.figure.prototype._root_extra_style = function(canvas_div) {\n",
|
||
"\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype._init_canvas = function() {\n",
|
||
" var fig = this;\n",
|
||
"\n",
|
||
" var canvas_div = $('<div/>');\n",
|
||
"\n",
|
||
" canvas_div.attr('style', 'position: relative; clear: both; outline: 0');\n",
|
||
"\n",
|
||
" function canvas_keyboard_event(event) {\n",
|
||
" return fig.key_event(event, event['data']);\n",
|
||
" }\n",
|
||
"\n",
|
||
" canvas_div.keydown('key_press', canvas_keyboard_event);\n",
|
||
" canvas_div.keyup('key_release', canvas_keyboard_event);\n",
|
||
" this.canvas_div = canvas_div\n",
|
||
" this._canvas_extra_style(canvas_div)\n",
|
||
" this.root.append(canvas_div);\n",
|
||
"\n",
|
||
" var canvas = $('<canvas/>');\n",
|
||
" canvas.addClass('mpl-canvas');\n",
|
||
" canvas.attr('style', \"left: 0; top: 0; z-index: 0; outline: 0\")\n",
|
||
"\n",
|
||
" this.canvas = canvas[0];\n",
|
||
" this.context = canvas[0].getContext(\"2d\");\n",
|
||
"\n",
|
||
" var rubberband = $('<canvas/>');\n",
|
||
" rubberband.attr('style', \"position: absolute; left: 0; top: 0; z-index: 1;\")\n",
|
||
"\n",
|
||
" var pass_mouse_events = true;\n",
|
||
"\n",
|
||
" canvas_div.resizable({\n",
|
||
" start: function(event, ui) {\n",
|
||
" pass_mouse_events = false;\n",
|
||
" },\n",
|
||
" resize: function(event, ui) {\n",
|
||
" fig.request_resize(ui.size.width, ui.size.height);\n",
|
||
" },\n",
|
||
" stop: function(event, ui) {\n",
|
||
" pass_mouse_events = true;\n",
|
||
" fig.request_resize(ui.size.width, ui.size.height);\n",
|
||
" },\n",
|
||
" });\n",
|
||
"\n",
|
||
" function mouse_event_fn(event) {\n",
|
||
" if (pass_mouse_events)\n",
|
||
" return fig.mouse_event(event, event['data']);\n",
|
||
" }\n",
|
||
"\n",
|
||
" rubberband.mousedown('button_press', mouse_event_fn);\n",
|
||
" rubberband.mouseup('button_release', mouse_event_fn);\n",
|
||
" // Throttle sequential mouse events to 1 every 20ms.\n",
|
||
" rubberband.mousemove('motion_notify', mouse_event_fn);\n",
|
||
"\n",
|
||
" rubberband.mouseenter('figure_enter', mouse_event_fn);\n",
|
||
" rubberband.mouseleave('figure_leave', mouse_event_fn);\n",
|
||
"\n",
|
||
" canvas_div.on(\"wheel\", function (event) {\n",
|
||
" event = event.originalEvent;\n",
|
||
" event['data'] = 'scroll'\n",
|
||
" if (event.deltaY < 0) {\n",
|
||
" event.step = 1;\n",
|
||
" } else {\n",
|
||
" event.step = -1;\n",
|
||
" }\n",
|
||
" mouse_event_fn(event);\n",
|
||
" });\n",
|
||
"\n",
|
||
" canvas_div.append(canvas);\n",
|
||
" canvas_div.append(rubberband);\n",
|
||
"\n",
|
||
" this.rubberband = rubberband;\n",
|
||
" this.rubberband_canvas = rubberband[0];\n",
|
||
" this.rubberband_context = rubberband[0].getContext(\"2d\");\n",
|
||
" this.rubberband_context.strokeStyle = \"#000000\";\n",
|
||
"\n",
|
||
" this._resize_canvas = function(width, height) {\n",
|
||
" // Keep the size of the canvas, canvas container, and rubber band\n",
|
||
" // canvas in synch.\n",
|
||
" canvas_div.css('width', width)\n",
|
||
" canvas_div.css('height', height)\n",
|
||
"\n",
|
||
" canvas.attr('width', width);\n",
|
||
" canvas.attr('height', height);\n",
|
||
"\n",
|
||
" rubberband.attr('width', width);\n",
|
||
" rubberband.attr('height', height);\n",
|
||
" }\n",
|
||
"\n",
|
||
" // Set the figure to an initial 600x600px, this will subsequently be updated\n",
|
||
" // upon first draw.\n",
|
||
" this._resize_canvas(600, 600);\n",
|
||
"\n",
|
||
" // Disable right mouse context menu.\n",
|
||
" $(this.rubberband_canvas).bind(\"contextmenu\",function(e){\n",
|
||
" return false;\n",
|
||
" });\n",
|
||
"\n",
|
||
" function set_focus () {\n",
|
||
" canvas.focus();\n",
|
||
" canvas_div.focus();\n",
|
||
" }\n",
|
||
"\n",
|
||
" window.setTimeout(set_focus, 100);\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype._init_toolbar = function() {\n",
|
||
" var fig = this;\n",
|
||
"\n",
|
||
" var nav_element = $('<div/>')\n",
|
||
" nav_element.attr('style', 'width: 100%');\n",
|
||
" this.root.append(nav_element);\n",
|
||
"\n",
|
||
" // Define a callback function for later on.\n",
|
||
" function toolbar_event(event) {\n",
|
||
" return fig.toolbar_button_onclick(event['data']);\n",
|
||
" }\n",
|
||
" function toolbar_mouse_event(event) {\n",
|
||
" return fig.toolbar_button_onmouseover(event['data']);\n",
|
||
" }\n",
|
||
"\n",
|
||
" for(var toolbar_ind in mpl.toolbar_items) {\n",
|
||
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
|
||
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
|
||
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
|
||
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
|
||
"\n",
|
||
" if (!name) {\n",
|
||
" // put a spacer in here.\n",
|
||
" continue;\n",
|
||
" }\n",
|
||
" var button = $('<button/>');\n",
|
||
" button.addClass('ui-button ui-widget ui-state-default ui-corner-all ' +\n",
|
||
" 'ui-button-icon-only');\n",
|
||
" button.attr('role', 'button');\n",
|
||
" button.attr('aria-disabled', 'false');\n",
|
||
" button.click(method_name, toolbar_event);\n",
|
||
" button.mouseover(tooltip, toolbar_mouse_event);\n",
|
||
"\n",
|
||
" var icon_img = $('<span/>');\n",
|
||
" icon_img.addClass('ui-button-icon-primary ui-icon');\n",
|
||
" icon_img.addClass(image);\n",
|
||
" icon_img.addClass('ui-corner-all');\n",
|
||
"\n",
|
||
" var tooltip_span = $('<span/>');\n",
|
||
" tooltip_span.addClass('ui-button-text');\n",
|
||
" tooltip_span.html(tooltip);\n",
|
||
"\n",
|
||
" button.append(icon_img);\n",
|
||
" button.append(tooltip_span);\n",
|
||
"\n",
|
||
" nav_element.append(button);\n",
|
||
" }\n",
|
||
"\n",
|
||
" var fmt_picker_span = $('<span/>');\n",
|
||
"\n",
|
||
" var fmt_picker = $('<select/>');\n",
|
||
" fmt_picker.addClass('mpl-toolbar-option ui-widget ui-widget-content');\n",
|
||
" fmt_picker_span.append(fmt_picker);\n",
|
||
" nav_element.append(fmt_picker_span);\n",
|
||
" this.format_dropdown = fmt_picker[0];\n",
|
||
"\n",
|
||
" for (var ind in mpl.extensions) {\n",
|
||
" var fmt = mpl.extensions[ind];\n",
|
||
" var option = $(\n",
|
||
" '<option/>', {selected: fmt === mpl.default_extension}).html(fmt);\n",
|
||
" fmt_picker.append(option)\n",
|
||
" }\n",
|
||
"\n",
|
||
" // Add hover states to the ui-buttons\n",
|
||
" $( \".ui-button\" ).hover(\n",
|
||
" function() { $(this).addClass(\"ui-state-hover\");},\n",
|
||
" function() { $(this).removeClass(\"ui-state-hover\");}\n",
|
||
" );\n",
|
||
"\n",
|
||
" var status_bar = $('<span class=\"mpl-message\"/>');\n",
|
||
" nav_element.append(status_bar);\n",
|
||
" this.message = status_bar[0];\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.request_resize = function(x_pixels, y_pixels) {\n",
|
||
" // Request matplotlib to resize the figure. Matplotlib will then trigger a resize in the client,\n",
|
||
" // which will in turn request a refresh of the image.\n",
|
||
" this.send_message('resize', {'width': x_pixels, 'height': y_pixels});\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.send_message = function(type, properties) {\n",
|
||
" properties['type'] = type;\n",
|
||
" properties['figure_id'] = this.id;\n",
|
||
" this.ws.send(JSON.stringify(properties));\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.send_draw_message = function() {\n",
|
||
" if (!this.waiting) {\n",
|
||
" this.waiting = true;\n",
|
||
" this.ws.send(JSON.stringify({type: \"draw\", figure_id: this.id}));\n",
|
||
" }\n",
|
||
"}\n",
|
||
"\n",
|
||
"\n",
|
||
"mpl.figure.prototype.handle_save = function(fig, msg) {\n",
|
||
" var format_dropdown = fig.format_dropdown;\n",
|
||
" var format = format_dropdown.options[format_dropdown.selectedIndex].value;\n",
|
||
" fig.ondownload(fig, format);\n",
|
||
"}\n",
|
||
"\n",
|
||
"\n",
|
||
"mpl.figure.prototype.handle_resize = function(fig, msg) {\n",
|
||
" var size = msg['size'];\n",
|
||
" if (size[0] != fig.canvas.width || size[1] != fig.canvas.height) {\n",
|
||
" fig._resize_canvas(size[0], size[1]);\n",
|
||
" fig.send_message(\"refresh\", {});\n",
|
||
" };\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.handle_rubberband = function(fig, msg) {\n",
|
||
" var x0 = msg['x0'];\n",
|
||
" var y0 = fig.canvas.height - msg['y0'];\n",
|
||
" var x1 = msg['x1'];\n",
|
||
" var y1 = fig.canvas.height - msg['y1'];\n",
|
||
" x0 = Math.floor(x0) + 0.5;\n",
|
||
" y0 = Math.floor(y0) + 0.5;\n",
|
||
" x1 = Math.floor(x1) + 0.5;\n",
|
||
" y1 = Math.floor(y1) + 0.5;\n",
|
||
" var min_x = Math.min(x0, x1);\n",
|
||
" var min_y = Math.min(y0, y1);\n",
|
||
" var width = Math.abs(x1 - x0);\n",
|
||
" var height = Math.abs(y1 - y0);\n",
|
||
"\n",
|
||
" fig.rubberband_context.clearRect(\n",
|
||
" 0, 0, fig.canvas.width, fig.canvas.height);\n",
|
||
"\n",
|
||
" fig.rubberband_context.strokeRect(min_x, min_y, width, height);\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.handle_figure_label = function(fig, msg) {\n",
|
||
" // Updates the figure title.\n",
|
||
" fig.header.textContent = msg['label'];\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.handle_cursor = function(fig, msg) {\n",
|
||
" var cursor = msg['cursor'];\n",
|
||
" switch(cursor)\n",
|
||
" {\n",
|
||
" case 0:\n",
|
||
" cursor = 'pointer';\n",
|
||
" break;\n",
|
||
" case 1:\n",
|
||
" cursor = 'default';\n",
|
||
" break;\n",
|
||
" case 2:\n",
|
||
" cursor = 'crosshair';\n",
|
||
" break;\n",
|
||
" case 3:\n",
|
||
" cursor = 'move';\n",
|
||
" break;\n",
|
||
" }\n",
|
||
" fig.rubberband_canvas.style.cursor = cursor;\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.handle_message = function(fig, msg) {\n",
|
||
" fig.message.textContent = msg['message'];\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.handle_draw = function(fig, msg) {\n",
|
||
" // Request the server to send over a new figure.\n",
|
||
" fig.send_draw_message();\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.handle_image_mode = function(fig, msg) {\n",
|
||
" fig.image_mode = msg['mode'];\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.updated_canvas_event = function() {\n",
|
||
" // Called whenever the canvas gets updated.\n",
|
||
" this.send_message(\"ack\", {});\n",
|
||
"}\n",
|
||
"\n",
|
||
"// A function to construct a web socket function for onmessage handling.\n",
|
||
"// Called in the figure constructor.\n",
|
||
"mpl.figure.prototype._make_on_message_function = function(fig) {\n",
|
||
" return function socket_on_message(evt) {\n",
|
||
" if (evt.data instanceof Blob) {\n",
|
||
" /* FIXME: We get \"Resource interpreted as Image but\n",
|
||
" * transferred with MIME type text/plain:\" errors on\n",
|
||
" * Chrome. But how to set the MIME type? It doesn't seem\n",
|
||
" * to be part of the websocket stream */\n",
|
||
" evt.data.type = \"image/png\";\n",
|
||
"\n",
|
||
" /* Free the memory for the previous frames */\n",
|
||
" if (fig.imageObj.src) {\n",
|
||
" (window.URL || window.webkitURL).revokeObjectURL(\n",
|
||
" fig.imageObj.src);\n",
|
||
" }\n",
|
||
"\n",
|
||
" fig.imageObj.src = (window.URL || window.webkitURL).createObjectURL(\n",
|
||
" evt.data);\n",
|
||
" fig.updated_canvas_event();\n",
|
||
" fig.waiting = false;\n",
|
||
" return;\n",
|
||
" }\n",
|
||
" else if (typeof evt.data === 'string' && evt.data.slice(0, 21) == \"data:image/png;base64\") {\n",
|
||
" fig.imageObj.src = evt.data;\n",
|
||
" fig.updated_canvas_event();\n",
|
||
" fig.waiting = false;\n",
|
||
" return;\n",
|
||
" }\n",
|
||
"\n",
|
||
" var msg = JSON.parse(evt.data);\n",
|
||
" var msg_type = msg['type'];\n",
|
||
"\n",
|
||
" // Call the \"handle_{type}\" callback, which takes\n",
|
||
" // the figure and JSON message as its only arguments.\n",
|
||
" try {\n",
|
||
" var callback = fig[\"handle_\" + msg_type];\n",
|
||
" } catch (e) {\n",
|
||
" console.log(\"No handler for the '\" + msg_type + \"' message type: \", msg);\n",
|
||
" return;\n",
|
||
" }\n",
|
||
"\n",
|
||
" if (callback) {\n",
|
||
" try {\n",
|
||
" // console.log(\"Handling '\" + msg_type + \"' message: \", msg);\n",
|
||
" callback(fig, msg);\n",
|
||
" } catch (e) {\n",
|
||
" console.log(\"Exception inside the 'handler_\" + msg_type + \"' callback:\", e, e.stack, msg);\n",
|
||
" }\n",
|
||
" }\n",
|
||
" };\n",
|
||
"}\n",
|
||
"\n",
|
||
"// from http://stackoverflow.com/questions/1114465/getting-mouse-location-in-canvas\n",
|
||
"mpl.findpos = function(e) {\n",
|
||
" //this section is from http://www.quirksmode.org/js/events_properties.html\n",
|
||
" var targ;\n",
|
||
" if (!e)\n",
|
||
" e = window.event;\n",
|
||
" if (e.target)\n",
|
||
" targ = e.target;\n",
|
||
" else if (e.srcElement)\n",
|
||
" targ = e.srcElement;\n",
|
||
" if (targ.nodeType == 3) // defeat Safari bug\n",
|
||
" targ = targ.parentNode;\n",
|
||
"\n",
|
||
" // jQuery normalizes the pageX and pageY\n",
|
||
" // pageX,Y are the mouse positions relative to the document\n",
|
||
" // offset() returns the position of the element relative to the document\n",
|
||
" var x = e.pageX - $(targ).offset().left;\n",
|
||
" var y = e.pageY - $(targ).offset().top;\n",
|
||
"\n",
|
||
" return {\"x\": x, \"y\": y};\n",
|
||
"};\n",
|
||
"\n",
|
||
"/*\n",
|
||
" * return a copy of an object with only non-object keys\n",
|
||
" * we need this to avoid circular references\n",
|
||
" * http://stackoverflow.com/a/24161582/3208463\n",
|
||
" */\n",
|
||
"function simpleKeys (original) {\n",
|
||
" return Object.keys(original).reduce(function (obj, key) {\n",
|
||
" if (typeof original[key] !== 'object')\n",
|
||
" obj[key] = original[key]\n",
|
||
" return obj;\n",
|
||
" }, {});\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.mouse_event = function(event, name) {\n",
|
||
" var canvas_pos = mpl.findpos(event)\n",
|
||
"\n",
|
||
" if (name === 'button_press')\n",
|
||
" {\n",
|
||
" this.canvas.focus();\n",
|
||
" this.canvas_div.focus();\n",
|
||
" }\n",
|
||
"\n",
|
||
" var x = canvas_pos.x;\n",
|
||
" var y = canvas_pos.y;\n",
|
||
"\n",
|
||
" this.send_message(name, {x: x, y: y, button: event.button,\n",
|
||
" step: event.step,\n",
|
||
" guiEvent: simpleKeys(event)});\n",
|
||
"\n",
|
||
" /* This prevents the web browser from automatically changing to\n",
|
||
" * the text insertion cursor when the button is pressed. We want\n",
|
||
" * to control all of the cursor setting manually through the\n",
|
||
" * 'cursor' event from matplotlib */\n",
|
||
" event.preventDefault();\n",
|
||
" return false;\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype._key_event_extra = function(event, name) {\n",
|
||
" // Handle any extra behaviour associated with a key event\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.key_event = function(event, name) {\n",
|
||
"\n",
|
||
" // Prevent repeat events\n",
|
||
" if (name == 'key_press')\n",
|
||
" {\n",
|
||
" if (event.which === this._key)\n",
|
||
" return;\n",
|
||
" else\n",
|
||
" this._key = event.which;\n",
|
||
" }\n",
|
||
" if (name == 'key_release')\n",
|
||
" this._key = null;\n",
|
||
"\n",
|
||
" var value = '';\n",
|
||
" if (event.ctrlKey && event.which != 17)\n",
|
||
" value += \"ctrl+\";\n",
|
||
" if (event.altKey && event.which != 18)\n",
|
||
" value += \"alt+\";\n",
|
||
" if (event.shiftKey && event.which != 16)\n",
|
||
" value += \"shift+\";\n",
|
||
"\n",
|
||
" value += 'k';\n",
|
||
" value += event.which.toString();\n",
|
||
"\n",
|
||
" this._key_event_extra(event, name);\n",
|
||
"\n",
|
||
" this.send_message(name, {key: value,\n",
|
||
" guiEvent: simpleKeys(event)});\n",
|
||
" return false;\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.toolbar_button_onclick = function(name) {\n",
|
||
" if (name == 'download') {\n",
|
||
" this.handle_save(this, null);\n",
|
||
" } else {\n",
|
||
" this.send_message(\"toolbar_button\", {name: name});\n",
|
||
" }\n",
|
||
"};\n",
|
||
"\n",
|
||
"mpl.figure.prototype.toolbar_button_onmouseover = function(tooltip) {\n",
|
||
" this.message.textContent = tooltip;\n",
|
||
"};\n",
|
||
"mpl.toolbar_items = [[\"Home\", \"Reset original view\", \"fa fa-home icon-home\", \"home\"], [\"Back\", \"Back to previous view\", \"fa fa-arrow-left icon-arrow-left\", \"back\"], [\"Forward\", \"Forward to next view\", \"fa fa-arrow-right icon-arrow-right\", \"forward\"], [\"\", \"\", \"\", \"\"], [\"Pan\", \"Pan axes with left mouse, zoom with right\", \"fa fa-arrows icon-move\", \"pan\"], [\"Zoom\", \"Zoom to rectangle\", \"fa fa-square-o icon-check-empty\", \"zoom\"], [\"\", \"\", \"\", \"\"], [\"Download\", \"Download plot\", \"fa fa-floppy-o icon-save\", \"download\"]];\n",
|
||
"\n",
|
||
"mpl.extensions = [\"eps\", \"jpeg\", \"pdf\", \"png\", \"ps\", \"raw\", \"svg\", \"tif\"];\n",
|
||
"\n",
|
||
"mpl.default_extension = \"png\";var comm_websocket_adapter = function(comm) {\n",
|
||
" // Create a \"websocket\"-like object which calls the given IPython comm\n",
|
||
" // object with the appropriate methods. Currently this is a non binary\n",
|
||
" // socket, so there is still some room for performance tuning.\n",
|
||
" var ws = {};\n",
|
||
"\n",
|
||
" ws.close = function() {\n",
|
||
" comm.close()\n",
|
||
" };\n",
|
||
" ws.send = function(m) {\n",
|
||
" //console.log('sending', m);\n",
|
||
" comm.send(m);\n",
|
||
" };\n",
|
||
" // Register the callback with on_msg.\n",
|
||
" comm.on_msg(function(msg) {\n",
|
||
" //console.log('receiving', msg['content']['data'], msg);\n",
|
||
" // Pass the mpl event to the overriden (by mpl) onmessage function.\n",
|
||
" ws.onmessage(msg['content']['data'])\n",
|
||
" });\n",
|
||
" return ws;\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.mpl_figure_comm = function(comm, msg) {\n",
|
||
" // This is the function which gets called when the mpl process\n",
|
||
" // starts-up an IPython Comm through the \"matplotlib\" channel.\n",
|
||
"\n",
|
||
" var id = msg.content.data.id;\n",
|
||
" // Get hold of the div created by the display call when the Comm\n",
|
||
" // socket was opened in Python.\n",
|
||
" var element = $(\"#\" + id);\n",
|
||
" var ws_proxy = comm_websocket_adapter(comm)\n",
|
||
"\n",
|
||
" function ondownload(figure, format) {\n",
|
||
" window.open(figure.imageObj.src);\n",
|
||
" }\n",
|
||
"\n",
|
||
" var fig = new mpl.figure(id, ws_proxy,\n",
|
||
" ondownload,\n",
|
||
" element.get(0));\n",
|
||
"\n",
|
||
" // Call onopen now - mpl needs it, as it is assuming we've passed it a real\n",
|
||
" // web socket which is closed, not our websocket->open comm proxy.\n",
|
||
" ws_proxy.onopen();\n",
|
||
"\n",
|
||
" fig.parent_element = element.get(0);\n",
|
||
" fig.cell_info = mpl.find_output_cell(\"<div id='\" + id + \"'></div>\");\n",
|
||
" if (!fig.cell_info) {\n",
|
||
" console.error(\"Failed to find cell for figure\", id, fig);\n",
|
||
" return;\n",
|
||
" }\n",
|
||
"\n",
|
||
" var output_index = fig.cell_info[2]\n",
|
||
" var cell = fig.cell_info[0];\n",
|
||
"\n",
|
||
"};\n",
|
||
"\n",
|
||
"mpl.figure.prototype.handle_close = function(fig, msg) {\n",
|
||
" fig.root.unbind('remove')\n",
|
||
"\n",
|
||
" // Update the output cell to use the data from the current canvas.\n",
|
||
" fig.push_to_output();\n",
|
||
" var dataURL = fig.canvas.toDataURL();\n",
|
||
" // Re-enable the keyboard manager in IPython - without this line, in FF,\n",
|
||
" // the notebook keyboard shortcuts fail.\n",
|
||
" IPython.keyboard_manager.enable()\n",
|
||
" $(fig.parent_element).html('<img src=\"' + dataURL + '\">');\n",
|
||
" fig.close_ws(fig, msg);\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.close_ws = function(fig, msg){\n",
|
||
" fig.send_message('closing', msg);\n",
|
||
" // fig.ws.close()\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.push_to_output = function(remove_interactive) {\n",
|
||
" // Turn the data on the canvas into data in the output cell.\n",
|
||
" var dataURL = this.canvas.toDataURL();\n",
|
||
" this.cell_info[1]['text/html'] = '<img src=\"' + dataURL + '\">';\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.updated_canvas_event = function() {\n",
|
||
" // Tell IPython that the notebook contents must change.\n",
|
||
" IPython.notebook.set_dirty(true);\n",
|
||
" this.send_message(\"ack\", {});\n",
|
||
" var fig = this;\n",
|
||
" // Wait a second, then push the new image to the DOM so\n",
|
||
" // that it is saved nicely (might be nice to debounce this).\n",
|
||
" setTimeout(function () { fig.push_to_output() }, 1000);\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype._init_toolbar = function() {\n",
|
||
" var fig = this;\n",
|
||
"\n",
|
||
" var nav_element = $('<div/>')\n",
|
||
" nav_element.attr('style', 'width: 100%');\n",
|
||
" this.root.append(nav_element);\n",
|
||
"\n",
|
||
" // Define a callback function for later on.\n",
|
||
" function toolbar_event(event) {\n",
|
||
" return fig.toolbar_button_onclick(event['data']);\n",
|
||
" }\n",
|
||
" function toolbar_mouse_event(event) {\n",
|
||
" return fig.toolbar_button_onmouseover(event['data']);\n",
|
||
" }\n",
|
||
"\n",
|
||
" for(var toolbar_ind in mpl.toolbar_items){\n",
|
||
" var name = mpl.toolbar_items[toolbar_ind][0];\n",
|
||
" var tooltip = mpl.toolbar_items[toolbar_ind][1];\n",
|
||
" var image = mpl.toolbar_items[toolbar_ind][2];\n",
|
||
" var method_name = mpl.toolbar_items[toolbar_ind][3];\n",
|
||
"\n",
|
||
" if (!name) { continue; };\n",
|
||
"\n",
|
||
" var button = $('<button class=\"btn btn-default\" href=\"#\" title=\"' + name + '\"><i class=\"fa ' + image + ' fa-lg\"></i></button>');\n",
|
||
" button.click(method_name, toolbar_event);\n",
|
||
" button.mouseover(tooltip, toolbar_mouse_event);\n",
|
||
" nav_element.append(button);\n",
|
||
" }\n",
|
||
"\n",
|
||
" // Add the status bar.\n",
|
||
" var status_bar = $('<span class=\"mpl-message\" style=\"text-align:right; float: right;\"/>');\n",
|
||
" nav_element.append(status_bar);\n",
|
||
" this.message = status_bar[0];\n",
|
||
"\n",
|
||
" // Add the close button to the window.\n",
|
||
" var buttongrp = $('<div class=\"btn-group inline pull-right\"></div>');\n",
|
||
" var button = $('<button class=\"btn btn-mini btn-primary\" href=\"#\" title=\"Stop Interaction\"><i class=\"fa fa-power-off icon-remove icon-large\"></i></button>');\n",
|
||
" button.click(function (evt) { fig.handle_close(fig, {}); } );\n",
|
||
" button.mouseover('Stop Interaction', toolbar_mouse_event);\n",
|
||
" buttongrp.append(button);\n",
|
||
" var titlebar = this.root.find($('.ui-dialog-titlebar'));\n",
|
||
" titlebar.prepend(buttongrp);\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype._root_extra_style = function(el){\n",
|
||
" var fig = this\n",
|
||
" el.on(\"remove\", function(){\n",
|
||
"\tfig.close_ws(fig, {});\n",
|
||
" });\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype._canvas_extra_style = function(el){\n",
|
||
" // this is important to make the div 'focusable\n",
|
||
" el.attr('tabindex', 0)\n",
|
||
" // reach out to IPython and tell the keyboard manager to turn it's self\n",
|
||
" // off when our div gets focus\n",
|
||
"\n",
|
||
" // location in version 3\n",
|
||
" if (IPython.notebook.keyboard_manager) {\n",
|
||
" IPython.notebook.keyboard_manager.register_events(el);\n",
|
||
" }\n",
|
||
" else {\n",
|
||
" // location in version 2\n",
|
||
" IPython.keyboard_manager.register_events(el);\n",
|
||
" }\n",
|
||
"\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype._key_event_extra = function(event, name) {\n",
|
||
" var manager = IPython.notebook.keyboard_manager;\n",
|
||
" if (!manager)\n",
|
||
" manager = IPython.keyboard_manager;\n",
|
||
"\n",
|
||
" // Check for shift+enter\n",
|
||
" if (event.shiftKey && event.which == 13) {\n",
|
||
" this.canvas_div.blur();\n",
|
||
" event.shiftKey = false;\n",
|
||
" // Send a \"J\" for go to next cell\n",
|
||
" event.which = 74;\n",
|
||
" event.keyCode = 74;\n",
|
||
" manager.command_mode();\n",
|
||
" manager.handle_keydown(event);\n",
|
||
" }\n",
|
||
"}\n",
|
||
"\n",
|
||
"mpl.figure.prototype.handle_save = function(fig, msg) {\n",
|
||
" fig.ondownload(fig, null);\n",
|
||
"}\n",
|
||
"\n",
|
||
"\n",
|
||
"mpl.find_output_cell = function(html_output) {\n",
|
||
" // Return the cell and output element which can be found *uniquely* in the notebook.\n",
|
||
" // Note - this is a bit hacky, but it is done because the \"notebook_saving.Notebook\"\n",
|
||
" // IPython event is triggered only after the cells have been serialised, which for\n",
|
||
" // our purposes (turning an active figure into a static one), is too late.\n",
|
||
" var cells = IPython.notebook.get_cells();\n",
|
||
" var ncells = cells.length;\n",
|
||
" for (var i=0; i<ncells; i++) {\n",
|
||
" var cell = cells[i];\n",
|
||
" if (cell.cell_type === 'code'){\n",
|
||
" for (var j=0; j<cell.output_area.outputs.length; j++) {\n",
|
||
" var data = cell.output_area.outputs[j];\n",
|
||
" if (data.data) {\n",
|
||
" // IPython >= 3 moved mimebundle to data attribute of output\n",
|
||
" data = data.data;\n",
|
||
" }\n",
|
||
" if (data['text/html'] == html_output) {\n",
|
||
" return [cell, data, j];\n",
|
||
" }\n",
|
||
" }\n",
|
||
" }\n",
|
||
" }\n",
|
||
"}\n",
|
||
"\n",
|
||
"// Register the function which deals with the matplotlib target/channel.\n",
|
||
"// The kernel may be null if the page has been refreshed.\n",
|
||
"if (IPython.notebook.kernel != null) {\n",
|
||
" IPython.notebook.kernel.comm_manager.register_target('matplotlib', mpl.mpl_figure_comm);\n",
|
||
"}\n"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.Javascript object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"data": {
|
||
"text/html": [
|
||
"<img src=\"data:image/png;base64,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\">"
|
||
],
|
||
"text/plain": [
|
||
"<IPython.core.display.HTML object>"
|
||
]
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"source": [
|
||
"x = numpy.linspace(-1, 1, 100)\n",
|
||
"y = numpy.sin(x**2*25)\n",
|
||
"data = numpy.array([x, y])\n",
|
||
"\n",
|
||
"fig = plt.figure()\n",
|
||
"line, = plt.plot([], [], \"r-\") # start with an empty plot\n",
|
||
"plt.axis([-1.1, 1.1, -1.1, 1.1])\n",
|
||
"plt.plot([-0.5, 0.5], [0, 0], \"b-\", [0, 0], [-0.5, 0.5], \"b-\", 0, 0, \"ro\")\n",
|
||
"plt.grid(True)\n",
|
||
"plt.title(\"Marvelous animation\")\n",
|
||
"\n",
|
||
"# this function will be called at every iteration\n",
|
||
"def update_line(num, data, line):\n",
|
||
" line.set_data(data[..., :num] + numpy.random.rand(2, num) / 25) # we only plot the first `num` data points.\n",
|
||
" return line,\n",
|
||
"\n",
|
||
"line_ani = animation.FuncAnimation(fig, update_line, frames=100, fargs=(data, line), interval=67)\n",
|
||
"plt.show()"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Saving animations to video files\n",
|
||
"Matplotlib relies on 3rd-party libraries to write videos such as [FFMPEG](https://www.ffmpeg.org/) or `mencoder`. In this example we will be using FFMPEG so be sure to install it first."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": 46,
|
||
"metadata": {
|
||
"collapsed": false
|
||
},
|
||
"outputs": [],
|
||
"source": [
|
||
"Writer = animation.writers['ffmpeg']\n",
|
||
"writer = Writer(fps=15, metadata=dict(artist='Me'), bitrate=1800)\n",
|
||
"line_ani.save('my_wiggly_animation.mp4', writer=writer)"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## What next?\n",
|
||
"Now you know all the basics of matplotlib, but there are many more options available. The best way to learn more, is to visit the [gallery](http://matplotlib.org/gallery.html), look at the images, choose a plot that you are interested in, then just copy the code in a Jupyter notebook and play around with it."
|
||
]
|
||
}
|
||
],
|
||
"metadata": {
|
||
"kernelspec": {
|
||
"display_name": "Python 2",
|
||
"language": "python",
|
||
"name": "python2"
|
||
},
|
||
"language_info": {
|
||
"codemirror_mode": {
|
||
"name": "ipython",
|
||
"version": 2
|
||
},
|
||
"file_extension": ".py",
|
||
"mimetype": "text/x-python",
|
||
"name": "python",
|
||
"nbconvert_exporter": "python",
|
||
"pygments_lexer": "ipython2",
|
||
"version": "2.7.10"
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 0
|
||
}
|