{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In this recipe, we'll work with a myoglobin/hemoglobin mulitple sequence alignment to create and view a visual summary of the alignment, and then to apply some filtering of sequences and positions in the alignment. Because by definition a mutliple sequence alignment contains sequences all of the same length, an alignment can be thought of as a matrix or table. A convenient way to get a visual summary of an alignment is with a heatmap. We're going to use the scikit-bio [``TabularMSA``](http://scikit-bio.org/docs/0.5.0/generated/skbio.alignment.TabularMSA.html) object for this, along with some information from the [AAIndex database](http://www.genome.jp/aaindex/), and [matplotlib](http://matplotlib.org/).\n", "\n", "First we'll load a pre-existing multiple sequence alignment into a ``TabularMSA`` and set the MSA's index labels to the sequence identifiers read in from the FASTA file." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from skbio import TabularMSA, Protein\n", "\n", "msa = TabularMSA.read('data/globin-aln.fasta', constructor=Protein)\n", "msa.reassign_index(minter='id')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we're going to load the [AAIndex database](http://www.genome.jp/aaindex/) [hydrophobicity index values](http://www.genome.jp/dbget-bin/www_bget?aaindex:ARGP820101). This provides a measure of the hydrophobicity of all of the amino acids, where low values are associated with more hydrophilic amino acids, and high values are associated with more hydrophobic amino acids. We're going to use these in our visualization of the alignment." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Data derived from AAIndex:\n", "# http://www.genome.jp/dbget-bin/www_bget?aaindex:ARGP820101\n", "import numpy as np\n", "from collections import defaultdict\n", "hydrophobicity_idx = defaultdict(lambda: np.nan)\n", "hydrophobicity_idx.update({'A': 0.61, 'L': 1.53, 'R': 0.60, 'K': 1.15, 'N': 0.06, 'M': 1.18, \n", " 'D': 0.46, 'F': 2.02, 'C': 1.07, 'P': 1.95, 'Q': 0., 'S': 0.05, \n", " 'E': 0.47, 'T': 0.05, 'G': 0.07, 'W': 2.65, 'H': 0.61, 'Y': 1.88, \n", " 'I': 2.22, 'V': 1.32})\n", "hydrophobicity_labels=['Hydrophilic', 'Medium', 'Hydrophobic']" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing alignments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we'll define a function that makes use of matplotlib to generate a heatmap-style image of the alignment. In the future, this functionality will be a ``TabularMSA`` method ([#765](https://github.com/biocore/scikit-bio/issues/765)). The heatmap and legend code was adapted from the matplotlib gallery example [here](http://matplotlib.org/examples/pylab_examples/colorbar_tick_labelling_demo.html)." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "%matplotlib inline\n", "\n", "def msa_to_heatmap(msa, value_map, legend_labels=('Low', 'Medium', 'High'), fig_size=(15,10), cmap='YlGn', sequence_order=None):\n", " \"\"\"Plot a multiple sequence alignment as a heatmap.\n", " \n", " Parameters\n", " ----------\n", " msa : skbio.TabularMSA\n", " The multiple sequence alignment to be plotted\n", " value_map : dict, collections.defaultdict\n", " Dictionary mapping characters in the alignment to values. KeyErrors are not\n", " caught, so all possible values should be in this dict, or it should be a \n", " collections.defaultdict which can, for example, default to ``nan``.\n", " legend_labels : iterable, optional\n", " Labels for the min, median, and max values in the legend.\n", " fig_size : tuple, optional\n", " Size of figure in inches.\n", " cmap : matplotlib colormap, optional\n", " See here for choices: http://wiki.scipy.org/Cookbook/Matplotlib/Show_colormaps\n", " sequence_order : iterable, optional\n", " The order, from top-to-bottom, that the sequences should be plotted in.\n", " \n", " Raises\n", " ------\n", " KeyError\n", " If a character in ``msa`` is not in ``value_map``, and ``value_map`` is not a \n", " ``collections.defaultdict``.\n", " \n", " \"\"\"\n", " if sequence_order is None:\n", " sequence_order = msa.index\n", " \n", " # fill a data matrix by iterating over the alignment and mapping\n", " # characters to values\n", " mtx = []\n", " for label in sequence_order:\n", " seq = str(msa.loc[label])\n", " mtx.append([value_map[aa] for aa in seq])\n", " \n", " # build the heatmap, this code derived from the Matplotlib Gallery\n", " # http://matplotlib.org/examples/pylab_examples/colorbar_tick_labelling_demo.html\n", " fig, ax = plt.subplots()\n", " fig.set_size_inches(fig_size)\n", "\n", " cax = ax.imshow(mtx, interpolation='nearest', cmap=cmap)\n", "\n", " # Add colorbar and define tick labels\n", " values = list(value_map.values())\n", " cbar = fig.colorbar(cax, \n", " ticks=[min(values), \n", " np.nanmedian(values),\n", " max(values)],\n", " orientation='horizontal')\n", " ax.set_yticks([0] + list(range(3, msa.shape.sequence - 3, 3)) + [msa.shape.sequence - 1])\n", " ax.set_yticklabels(sequence_order)\n", " ax.set_xticks(range(msa.shape.position))\n", " ax.set_xticklabels(msa.consensus(), size=7)\n", " cbar.ax.set_xticklabels(legend_labels) # horizontal colorbar" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now use this function to visualize our alignment. Note that the human hemoglobin sequence, which is the top-most one, is clearly the most different. We can also clearly see that hydrophobicity is highly conserved, as is illustrated by vertical bands that are similar in color. Some select sequence identifiers are used on the y-axis as labels, and the x-axis is the majority consensus character (either an amino acid abbreviation or a gap character) at each position in the alignment." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABF4AAAGFCAYAAADEhTe0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "msa_to_heatmap(msa, hydrophobicity_idx, legend_labels=hydrophobicity_labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One limitation in the above plot is that there isn't any order to the sequences. If we want to vertically group sequences from more closely related organisms, we can build a neighbor joining tree from the alignment, perform outgroup rooting, and then traverse over the resulting tips to define the order." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "from skbio import DistanceMatrix\n", "from skbio.sequence.distance import hamming\n", "from skbio.tree import nj\n", "\n", "dm = DistanceMatrix.from_iterable(msa, metric=hamming, keys=msa.index)\n", "tree = nj(dm)\n", "new_root = tree.find('hemoglobin-human').ancestors()[0]\n", "outgroup_rooted_tree = tree.root_at(new_root)\n", "sequence_order = [t.name for t in outgroup_rooted_tree.tips()]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then pass that order in, and we'll see that more similar organisms are now better grouped then they were above. Similarly, the vertical bands are now more consistent in color, since each pair of adjacent rows in the matrix are now from organisms that diverged from one another more recently." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABF4AAAGFCAYAAADEhTe0AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XecVcX5x/HPV4LS7RUUwRI1gICigAqrxiR2Y0ODJWrE\n/OwxscVEEAsajVHBHiXYiBgrWFFZRGUFlbIYK65YosGIBURA2ef3x5m7e/beubt3WbbB8369eO25\nc2bmPGfOuffuDjNzZGY455xzzjnnnHPOuZVvjcYOwDnnnHPOOeecc25V5R0vzjnnnHPOOeecc/XE\nO16cc84555xzzjnn6ol3vDjnnHPOOeecc87VE+94cc4555xzzjnnnKsn3vHinHPOOeecc845V0+8\n48WtEEmdJZU2gTiGSjqnhjyTJPWOpB8o6bxaHm+0pENrG6dzzjnnnHPOudXTjxo7ANesWWMHUBdm\nNh4Y39hxOOecc84555xbdXnHi6uLH0m6DegPfAwcDHQEbgQ2ABYDJ5vZO5JGA98BvYANgZOA44B+\nQImZnQgg6WjgwlD/E2Z2QUg/CTgP+BKYDSwxszPTwUjqCdwMtAbmAiea2ddh93GS7gBahPRXJR0P\n7GxmZ4T4vgF2BjYGzjOzh/Kc90BJv0/nkzQQ+IOZHRhiGQlMN7O7JJUBY4F9ge+BU4ARwFbANWZ2\nq6S2wKPAOkBL4M9m9pikzsCTwIvpdjazpdlBSWrWHWHOOeecc845V1dmpsaOIZt3vLi62AYYZGZD\nJP0TOBw4ATjFzOZK2oWkI2TvkH8dM+sn6SDgMaCfmf1b0quSegCfA1eSdM58BUwMeacDfwJ6AouA\nScDMSDxjgNPM7EVJlwBDgcw0pNZm1kvSHsBooHtIT3dWbGJmu0naPsSXr+MlX77qOj4+CMe/Nhy/\nP9AGmAPcCiwBDjGzRZLWB0pC3QBbU9nO9wOHAffFDnLByxcy5e9T2OM3ewAwpFv3in3XXfEvzv7j\n4Um+KZMBmHPvq3QbvDMAY/e9oCLvJcOuY+iwswHY/qohAPzv2bls8NOtAHjx7FMB+Mtl/+S8Px2V\nE0c6/f535gDwxM3Ps9//7VWR59Tux+Qca96iqTmx3janckZb+twu7zukoPL5znfcdS8kO+d+Dltt\nWJF3+dPjQ73XM3TYWQDcVDo25xw++XZxnrhOzonropLbo3l/32vX0F5jOe9PRwNg4TbKbttrZ0zL\nKT+i3xUADBs2jGHDhpEtnV5uc3POKy2d/sXS0pwYFn3/HVBY247d99zosT5cND2njvOnFOeUT0un\nd113vZw2SEunT5g2G4D/PvkOG++7LQDLvlsGVL2XAd55/uNkI3UvLH/6iXAOldcRYA2tCcCwYX9l\n2LDfA/DBwheibTPw2tsA+GpSGevs2aVKrOm0V89P+pCzr/n6a/XMiaHL8BOjdZZdfHvIW9nmC5bO\nCfVW3l8Apz3/JBB//2efbywt9pnw0tmnRY+18PvFOW2TeU9nX8dN2rQG4Mmbn2ff8D47o8evcs4r\nsUZObNtfdUpOXGfsNwDI/fzJvH/TMXRs2yaad/8uW+WcQ0Z2Wud2u+TEG/v8yCgkrve/XADkvkdi\n77N5i6ZF4yq6Nrk/0vdN2cV35rQhwIKls3Ku43prdcs5FsDRT16dE9eVewwsuL1inx837rUvkHsv\nrbdWj5x4j37yqmjb7NGpU+Q75+joOUCLnDaIvc+Kzzk5eg6d2/WLxHVlNK6x+16Qc6wvls4M51v1\n/X/6808V1LYvfPIRAA+PmsgvT9+nIu/+W/44px3/+U7y3stumykff1zwdbxtTmnOezf2XQaw23U3\n5nzexn5/WH+tHXPaEKDL8JOAqtdh8jlDonGdP6W4oO8RSN47hXymQPL9nX2+sfdkvu+n7dZdJ+fa\nvPXlV9G873+5oE7vp3zpRdfeHv3OyG6DfJ9Vg7btlnN/7nzVDUDsu+jOgr4zMrLTDh24c7RtRvQ7\nvcr3LkDZwskFt8FBd95b5fcBgNKzku/o7HpHzb6zoM/mjOy0Id26F/TdAHBRyR3R8rFz6Nyub07b\nzltUEs17wZTJ0Xup0PZ6vGxuThvcOik5VnY7Pnbi4JzyXdonnwOx308L+Z21tmnZ6VKT63MBvOPF\n1c37Zpb5q/h1YEuSDoUHVHnHt0zlz0zrKQU+M7N/h9dvhLJbApPMbAGApHuBAYCA4szoFUkPkHT6\nVJDUAVjbzF4MSWOAcaksYwHMbIqk9iF/tkdCnjclbVTNeReaLy197m3NbDGwWNKSEMtiYISkAUA5\nsFmq7rJUO79G0k5RU/4+hQ9fn8eUv8MWvbeAVMeLc84555xzzq1KiouLKS4ujnbINCXe8eLqIj3d\nZTnJ1JsvzSxnIdus/OVZZctJ7sUfSDpZYgrpuqwuT3o0ioiPTlmalQdJlwH7A5Y6r5x8JLGnF6tu\nlafufOc+mGR6Vi8zKw/Tk1pllYWknbPrrrDHb/Zgyt+JjgZwzjnnnHPOuVVJUVERRUVFFR0vl1xy\nSeMGlId3vLi6yO7o+AYok3S4mf0LQFIPM5tdQFmAacD1ktYDvgaOBm4gGeXxN0lrA9+STLWpUqeZ\nfSNpgaTdzOwl4FhgcirLIGCypN2Br8xsYQ3D0BTq/RPJNKdq8wHzgB0ktQTakkyvmlLdAbLKrw3M\nD50uewKdI3lqNKLfFRQvLaaoXxFQOb0E4OCflVcMdcw0zUbdN4vWM7Cob8V2ZgrBS71L2W1AMoIm\nMx1mtwHdouXT6Wf8IcyKWvAtT879rDLTNcmPr7ZYyE2l91StYOt1eLxsLtm26L1FxfZFJckQ0Xkb\nfV6xnRnuvNeevWjfsk1F3gkTkwFDy5cu4YOJWQ/jWrcNMQOLds1J22bnLpGcVeP6YuksAHrttmHF\n9kOTX63Yv7jFd3weXmfiTbfX6c8/BcD8dosrtgFmzn4/p/zlfT8AYMDA7Si3DyryZqZc/XiX5ZQt\nTIYOZ659+rzWUOuK7T33HFDldXZcmekhn3dqVWX6V6xt2088Lkn76GuuOee1irxvDD8DgL577FCR\n1r9jRwA23HMZ24RtgGsfmQTAkpbLKZn+DgD3D03uk+KlvSnq1x+A8tRyR8VLulPUN7l3h3RLhsSW\nbPPviuP94sbRALTpum6V85z/WDJl66UX5uTc0+n3QlpRUb+K7XYtk3bbc8+eFdtQOSS+pE9lDJnp\nR622XKciX2YaV+/+21RsA9z/TnK+sfdIujxUDhH/aotvK7ZP7T44Oe+9F1dM00gkU43S7/9M/dnH\nOrX7MTlt0LNHVwDm04qNelT9DMluv8q26VWxnZlS1LPfNhXbAC3CZ/KP+3St2M70Zw8s6kfVvm2l\n0pPtzBSGl3pXXkeFfZv/EnbbtnIEYGa6Vctt1q2YNpCZapT9Pq/4LEp9LmWmH6Xv5bT0+ywzrXKH\nI7emqHvVtsxOy3yWpT9TMnI/r1uEY/Wv2M7Ijqtvn2RY+Py12qWu2fJQvk/FNiT3Y+/+21a5Fztf\nGH9PH7BP95y4Yu11eo9k6s4vf96SLu37V+Tdo1Oyf5O9vmebTp2AymlNv9j7wIptqBxSv92uHSq2\nM9MwStiwyjm3a9maTr+E3bZNl58Wyq9dsZ3J22u3DSqm/AD876vkc2X5Bm0rtjOy2zYzjWLxpwv4\n51XJQN7MeyS7beYtmsp2u7av+IwG6NI+OYf9f/oDG7bapSJ97L49KW5dQlHq/Zcpl45hQMfNAVhz\nv770DdtQOTUr/f4/tXsypSf7vtu/y9ScNoxdR4Abxk1m+ddfM2Nc5a9Yme+4xfMX8Oh1N1akf/zf\nb1m+TmuW/PfbirTM9ONlXdpWbN866e8ALPriCx664YyKvLH7tm3L5P+eivbsWbENUDL9nSrfF5C6\njlnf/Xd3fZClWy3l7rcfrEjbb8vkWOnv7ozs92Pse+/MIwdG8x7748PY/LCOFP04/T6/I2+92bFm\n7vHs+65dy9ZVPlehsm2zr1nxOSdX+R5KtMj57Mh8rq1/4FL6dqmc/iPE7gO6VXyepmV/F8HynM+U\np047AYCSHlVjaN+yTZXfLQHWC9POipf0qPg+z0h/7+Zrg8znVnZ7/aZoV95tuxHb9Kn8fM9ME95u\nl7YV2xnZ3wOZ6T89DmtB326VdV8wZXKV75F8cR395NUAzG/9n4ptCPft8kV89ExJRdop3ZL3a789\nfpLT5tnfx5nfdbN/7+3fsWPO71UQ/87q3K4fB/9MdG5XWfcBXcQGBy6jb5etK9IyU43abr1+lfKP\nl83NuecGbfsIAD37/4jPlzxSkX76808xv9V/GPTEbyvSMtNmBwzcpsrfLV2Gn8ySD75k9CWV12be\n0HsoKuoG/KdKDOX2XU75psg7XlxdZI8aMZKRG7dI+hPJ/fVPkk6SWN4q22b2maQLgOKQPiE8eQhJ\nV5B0zCwA3iLpmMn263Ds1sD7JOvNZOpfIun1ENMJkbLVxVdjPjP7WNI4kjVbykimXtVUV3rfvcB4\nSbOAV4E3Cyyfo6ioKE967h+Q2X80VZc3/cVYmVZzx0uF9dpG86a/BKtLA+jcu3NBabFYAVpsvnbB\nccXaoDZx5WubNl3Xi+TNjTfftYmVj8UK8S/YfHmLivrnpMXOIXauEG/baHvniStf27bqsm5OWizW\nJD333GLHirUhxM+3du0Vv+9iMcTOK98f8bG2iZXPlzffOcTusbqWz9cGsbbNd81rE0P8syr3WPni\nKrQN8qXnu2axuApNg/j7rDaf1/niitVRm/Kx93S+uOLXMf7erc01j8UWS8v3GVybvLHzzdc2sc+V\nWNvkv2dy26aubZCvjtpc89i1yffZHmuDfHlj9bbbZv1IznyfNbnXLN/nYiyG7XfZKpKz7t97sby1\neZ/X5nsz331b6GdVbe6vfJ+h8e/outcbv28L+z0l37HyfbbXNW+h92e+vPnu29pcs1g71vU7K1/e\n2Ps0X3vF2qE232V1/R2wqfGOF7dCzGwe0CP1+q+p3ftG8p9YTdn0vvuB+yOHHGtmf5fUAniYynVW\nLkmVnUXylKTsY++VnRbSx5CsBVMlhvA6tgZMtfnCE5guiJTpGjtm9j6S9XFi8rWzc84555xzzrkm\nbo2aszjXJAyTNINkcdr3zezRxg7IOeecc84555yriY94cc2CmZ3b2DE455xzzjnnnHO15SNenHPO\nOeecc8455+qJj3hxbhX2xdLSmjOtgPSTF9I+XzItml6o/bvkLnaXfoJOWnoF+ZWrRc1ZaunN82+L\npuc8zamW0k/hWBFlCydH09Mr8de3lz/5JJqeeZpFTbKfPtEYrHbrX+eor/bOPPklW/+spxzUVuYp\nGw2j4Ie6Rf3znfjnR23aIPNEnrR87524fPdHYeeWfkpLFTmrqa0cW7TLfaIbjKyfg9VC+okbGfnu\n8fQTmTLyvc+unZH7vXXAPrkLVcaetLcyjJp9ZzQ98zSsFXX0k1flHmuvX9SpztrKPOmnqTn2x0fm\npOX7Pr1hXG3e67kyT5lrTAfdeW9O2rLvRuekZZ4+1FzE3udu5ZhQ9l691Bv9PsvzXdZhnfhTR5sz\nH/HinHPOOeecc845V0+848U555xzzjnnnHOunnjHi3POOeecc84551w98Y4X55xzzjnnnHPOuXri\ni+uuBiQ9D4wws4mptLOAbc3stMaLrH5IOhDY3sz+0tixxEjaCTjWzM6WNBBYZmZT6+NY66+Vu0Bg\n4qk61fu/JdPrVB7iC+nW1XprdatzHfMWrfxLsf1VQ6LpL52d+/ab8vHH0byxBXrrGmuX9vGFD+u6\nSPLKEF2Abb/cpNjCmABDuuW795ue+logMLYYKcDLn+QuFrlHp04F19vt4lE5afNGnFdw+XwLKl+1\nR1HBdRRq0Lbxz4TYfdOxbXwhv9jip7X7/KrbAsGFLjS9sny46JWVXuegJ4ZH0+P3Xd3/TzC2kO7u\n190Uzfvi2afmpJ3+fN2+I2sj3z1aV2P3vSAnLd+C7vXxfdyU3f32uJy0/bZs2PdZQ3rsxME5ab+4\nMXdx3c7t+kXLL2gCi9i71c83Xy1u7BBWOh/xsnq4Dzg6K+0ooKCl1iXV7bfGBiSphZmNb6qdLgBm\n9pqZnR1eFgH9a1Ne0sp/7I5zzjnnnHPOuXrhHS+rhweB/ST9CEBSZ2BTYIakZyW9KmmWpIMy+yW9\nJWmMpFKgk6SbJE2TVCppaKZiSWWShkl6LdSxbUgfKumcVL5SSVtIaiNpgqQZkmZLOiIdqKQOkj5I\nvW4j6UNJLST9JsQwQ9IDklqFPKMl3SxpKnCVpOMljUztOzRV38LwcxNJkyW9HuLYLbvRQj0PS3pG\n0vuSTpP0u1DmZUnrhHw9JU2VNFPSg5LWDumTJF0p6ZXQnruF9IGSxofr8Fvg7FDnbqHtnwt1TZTU\nKescS4DcZ0Q655xzzjnnnGuSvONlNWBmXwLTqHxS+lHAOOA74BAz2xnYC/hrqtjWwCgz625mHwF/\nNLNdgB2BIknpsbHzzWwn4BbgD/nCCD9/AXxiZr3MrAdZc17M7BuSDqHMHIgDgKfMbDnwoJntYma9\ngLeAk1JFO5pZPzPLHN+Iy6T/KtTbO5zTzDz5fwIcAuwCXA4sCmVKgONCnjHAuWbWE5gDDE2Vb2Fm\nuwK/A4ZVPVWbR9JmfzOz3mb2EjASGB3qui+8Tp9j39Q5Ouecc84555xr4nyNl9XHP0k6XMaHnyeS\ndLxdKWkPoBzYTNJGIf88M0sv5HGUpJNJ7plNgB1IOhkAHg4/XwN+mef4melKpcA1kkYAj5vZi5G8\n44BBwOQQ640hvYekS4F1gLbA06kyD1Rz7jHTgTsktQQeNbN8E1gnmdliYLGkr4AJqfPoLqkDsHbq\nPMaE+DMeCj9fAzoXEFc/KtvwbqqObqnxHIcNG1axXVRUxICBmxdwSOecc84555xrfoqLS5hcvPLX\nJ1vZvONl9fEocK2kXkBrM5sh6XhgfaCXmZVLKgNahfzfZgpK2hL4PbCTmX0jaXQqH8DS8HM5lffU\nD1QdUdUKwMzeldSbZJnMyyQ9a2aXZcX6GHC5pHWBnYDnQ/po4CAzmxNiT68M+i1xFXGEtWrWDHFM\nkTQA2B8YLelaYBHJaBUDfpN1boT0zOvy1LlWtwZOrG2qk2+kDuQ/xwrpjheAcptbwCGdc84555xz\nrvkpKupLUVHlAwWGDx9ZTe7G4x0vqwkz+1ZSMXAnyRQWgLVJpgmVS9qTqiMy0p0JHUg6JRZK2phk\nytKkGg75AUmnBqGjpUvY3hRYYGb3SfqaqtOF0rG+ClwPjDezTGdEO+CzMEplMBB//EtuHDsD/wIO\nBlqGOLYAPjazO8JaMb3N7BzgkYoGkGp8LEroiFogabcwVehYkpE6MbEOmoUk7ZvxMslCyPcAxwBT\naoqhuYo9cWXeopJGiMQ1Z+9/uaCxQ1glnNr9mHqptzZPbJpQ9l5O2qnd409mcs3L/ftdHE2PPTGq\nvrx9wT+i6U3hKW7OuYYX+85xrj55x8vqZSzJ1JdB4fW9wHhJs4BXgTdTeStGXpjZbEkzw/6PgBdj\n+bI8CBwXFud9BXg7pHcHrpZUDiwjWVwWSZcA080sM5XnfpIpO+lRLX8mWatmfqizfQ0xANwOPCpp\nBsnUpEUhvQg4V9L3JJ0fx8WLV5HvOL8GbpHUGngfOCFP/lj58cC/wsLGZ4R//5D0B+Dzaupyzjnn\nnHPOOdcMeMfLasTMHgVapF5/Qf5HGffIKntCLJOZdU1tv0aySC9mtgT4eaTIh8AzkXqGZr1+MB1r\nSLsVuDVS9sSs12NI1lrBzOaTrJuScUFIvwu4K3ZOsXrC666xfWF9mH6R8nultr8AuobtyYRRMWb2\nLsnivml713SOzjnnnHPOOeeaB3+qkXPOOeecc84551w98Y4X55xzzjnnnHPOuXriU42cc7W2Qas+\n0fTaLFK4htbKSevSfmAkZ2nBdWbNTlshndvtEkmt29OhnjotOlMvasLE+PnO22NqTlo8Vpi3qLDr\nULYwvg50u5atCyoPcMA+uWtQ9+/YseDytRGL98a99o3mXfj94nqJYdATwwuOoVDtW7apU/n8ygvO\neVPpPdH02KK7nTZuW3C9sfd0/461WdBweZ70wt7ryvPQudiizB3b1s91mLco970L0LldzgzVOot/\nhkL+Nd9zNf6Ck/nu27r9X2G5LatT+fqyYav453hTjXdVcOyPj8xJ+2LpzGjeM4/MfU/dMC73/RRL\nA7jqhLp9P9SX2O8l+T6r6u87yrnVi494cc4555xzzjnnnKsn3vHinHPOOeecc845V0+848U555xz\nzjnnnHOunnjHi3POOeecc84551w98Y6XPCQdIqlc0rbhdWdJpWF7oKTxYftASeet4DHWlvR/Ky/q\nao+1qaRxK1DuNknb1bLMCrdJKP/iipatj3hS9QyVdE7YHi3p0LB9e23bKFXnQEkrf4VF55xzzjnn\nnHNNgj/VKL+jgCnA0cAlIc1S+w3AzMYD41fwGOsCpwI3F1pAUgszy/eYh7zM7FMgdxn3mssNWYEy\ndWkTzGz3FS2bp746xVNA/SfXoXgRsAiILyUfsaL3QM2s5izN1BW//kVO2tnnjm2w4+d7esmCpbNy\n0mJPCWpoi77/rrFDiHq8LPfpUrGn7gAs/L7gt1St1NcTm+rqgC5bN3YIUbV50llDnkNDXsfb5sSf\nVHZ53/roc9+szjWc3uPEnLTzebJOdY6afWedygPMW1RSx/Lxz4TaPMWtrurjSVYNLfaUn4cmv9oI\nkTSMId1yv5NjTzCK/Z5Rn+JPw5pTpzrz358N9/thvvdp7IltsfduU/39xTnwES9RktoCuwEnkXS8\nVJf3eEkjw3ZXSVMlzZJ0qaSFmfokPSvp1bDvwFB8BNBV0uuSrgp5r5ZUGvIdGdIGSnpB0qPAG5EY\nyiRdIWmGpGmSekl6StK7kk4JedIjdnaQ9Eo47kxJW0lqI2lCqGO2pCNC3kmSektaI4zymB1iOyvs\nP1PSG6Ge+yJtMlrSzZKmS3pL0n6pPI+E+t+WdHHqfBamtv8QzmmmpKGpc/l3GI0zJ5zrWgXGc0Ro\n3xmSivNc09+EY86Q9ICkVjXcA5Mk9Q7bJ4XzKQnx3RDSDwhpr0l6RtKGkjoDvwXODtdit3Buz4X4\nJ0rqlNWOJcBV1cXjnHPOOeecc67p8BEvcQcDT5nZe5L+J6kXsKCa/Jmu4OuBv5nZuNDhkUlfAhxi\nZoskrQ+UkIzAuAD4iZll/mg/FOhhZt0lbQRMl5TpVu8V8n6YJ4YPzKyXpGuB0UB/oA1J9/etWXH+\nFrjOzMZK+hHQAtgf+MTMDgixtM+qvyfQ0cx6hP0dQvr5wJZm9n0qLX0sgM5m1kfS1sAkSVuF9D7A\nT0L7TJc0wcxez5SVtA+wjZntIknAY5J2Bz4CtgYGmdkQSfcDhwH3FRDPn4GfmdmnWfvTHjSzv4cY\nLiXpgLsxT94KkjYF/hTaahEwCZgZdk8xs74h30nAeWZ2rqRbgIVmdm3Y9xgw2szukXQCMBL4Zaij\nY6YO55xzzjnnnHPNg3e8xB0NXBe27wd+BYwqoFw/kk4bSDoBrg7bAkZIGgCUA5uFjpVsuwNjAcxs\nfhiR0QdYCEyrptMFKqfSlAJtzWwxsFjSkkgHw1TgIkmbAw+FDqZS4BpJI4DHzSx7nZX3gS6Srgee\nAJ4J6bOA+yQ9AjySJ7Zx4ZzekzQXyKyHMtHMvgKQ9FA4/9dT5X4G7CPpdZI2bAtsQ9LxUmZmmfHb\nrwFbFhjPi8AYJevdPJQn3u6SLgPWCcd8Ok++bLsAxWb2dTinB0K8AJuHY24KtATK8tTRj8qOlrup\nOrrlgZoCGDZsWMV2UVERAwZuXmDozjnnnHPOOde8FBeXMLn4lcYOo0be8ZJF0rrAXkA3SUYyGsQo\nYMQDVUd5KLU9GNgA6GVm5ZLKgGqnr0Tq+LaGvEvDz/LUdiamKtc5jHQpAQ4AnpA0xMyKw3SZ/YDL\nJD1rZpelynwlaUfg58ApJOvFnEQyUmYAcBBJZ063SGzZ7WKR9NhrASPM7PYqickUnfQ5LqeyPauN\nx8xOldQnnPtr4Zz/SjKiKDPi5x/AQWY2R9LxQO7E0vyUJ30kcI2ZPS5pIDA0T77qJtLWdA9U6XgB\nKLfcNTGcc84555xzblVQVNSXoqLKSQHDh49sxGjy846XXEcAd5lZxdOGJE0CNif/H9UZJcDhJCM8\njkqlrw3MD50uewKdQ/pCID2lZwowRNJdwPrAHsAfgO1X/HSqEICkLmZWBoyUtAXQQ9LbwAIzu0/S\n1ySdKpUFkylSy8zsYUnvkIzGANjCzCZLehkYBLSLHPeIcE5dgS7A20BvktEs65B0ohwC/DodJ8lI\nk+GS7jOzbyVtBnyflSdbtfFI6mpm00mmNv0C2NzMslcSbAd8JqklSafZx3mOlW068DdJa5N0khwG\nzA77OgD/CdvHp8osDPsyXiYZcXUPcAzJPdFAarq9K5Vb/SxeNuiJ4TlpXdddr+DyN5XeE03/bHHz\nWWxtwsT4Qpxj970gklq3NZZji9UB/G/J9DrV+8d/PBVNP3j4NtH05uTlTz7JSfvVj+MLIk8oe6++\nw6n2WPt3qZ8FEV88+9R6qbc25xBbBDK2qGL7lm2i5WPXcY9OnWoKcYVc3vekaPpFJbet9GOVLaz7\nouHltmwlRLLyxT6vyhbmLnLalMUWDs33OdxUxRaWXXjtvdG87c8ZnJN21Qn75qR989XiugfWyPJ9\n780ZfnpOWr4Ft2OL6+e7P+r6Po19huZb2Dbf52hjq+tCuqd2jy/jeVNpwz18wa1evOMl1yByFy99\nELiQZDRJdX4H3CPpjySdBl+H9HuB8ZJmAa8CbwKY2QJJL0maDTxpZucrebTwrHCsc8OUo5yOF0mP\nAyeZ2WdUP0oi50lMwJGSjiXpxPgUuJxkmszVksqBZSTrwKTLdARGS1ojpF0Q1oe5J0xlEnC9mX2T\nLMdSxYfANJJOplPMbFnIM41kuk9H4G4zm5E+pplNVPKY5qkh/0KSzojy2DkXGM/VkjJ//T1rZrOz\n6yFZB2btskXjAAAgAElEQVQaMB94haqdYxmxJ1z9R9IVoewC4C0q74FLgH9JWgA8T+XUqPEh/SDg\njPDvH5L+AHwOnBA5nnPOOeecc865ZsI7XrKY2d6RtFGk1ngxs8nA5LA9BhgTdn2SWkB1ELBtyPMF\nyWK3seMdk/X6POC8rLSK46XS9k9td01tp+NJ71sA9AhpV5HbufQMleu2pI+zV+rlTpFT2CNSpkoM\nJB0csf8i/djMDo2U75DaHkkyTSdbj1SevxYaj5kdFqkrO/+tVC5InE6/JLV9Ymo73UZjzezvkloA\nDxPWmTGzx4DHInW+C+yYlRy7B3Of7+mcc84555xzrsnzjpeVaydJo0hGW3wJ+B/Lq99IjWGSfgqs\nBTxjZo82dkDOOeecc8455xqPd7ysROFJQD0bO46mJN9IjciomFWCmZ3b2DE455xzzjnnnGs61mjs\nAJxzzjnnnHPOOedWVT7ixTnn6l3hTx+KPdUAYPurhuSkvXn+zSscUXVstZshuGrq3G6XPHua15Ng\nVlWX9819T9fHk45qz9//rvnpsE7uk3f+99XSRojEueYl39Os3MrnI16cc84555xzzjnn6ol3vDjn\nnHPOOeecc87VE+94cc4555xzzjnnnKsnq3XHi6SNJN0r6T1J0yW9JOnglVT3WZJarYy6VnWShko6\nJ8++Fxs6nhUl6XhJm6xAuR0l7ZtVz8iVG51zzjnnnHPOucawui+u+wgw2swGA0jaHDgonUFSCzMr\nfGXMSmcDdwNL6hxlMyJpDTMrX1n1mdnuK6uuBvBrYA7wWaEFJLUgeQT5zsCTqV2+uuEKOLX74Gj6\nvEUlOWlX8kh9h5M6/rRoevuWuYsBTphYGs3baeO2KzWmVceKfDyvHvLdd6uqdi1bN3YIUfmuQ+d2\n/Ro4kuat3Hyh1ObmzCMH5qSd3uPEnLSrH36+zsf65qvFda6jPnRpn9sGEP+ej37/77dy48mozYL9\nC5bOqdOx8i30Xtd6XfPTt8+2jR1Co1ptR7xI2gtYama3Z9LM7CMzuzGMOHhU0nPAs5LaSnpW0quS\nZkk6KNTRWdKbku6R9G9J4yS1lnQGsBkwKdSBpJ9JejnUcb+kNiG9TNIVkmZImiapl6SnJL0raUjI\nMyZzzPD6HkkHStpB0iuSXpc0U9JWkfPcL8Q4XdL1ksaH9DaS7pBUIum11DmtJelOSbNDelFIbx3i\nniPpoVCud9i3UNI1kmYAfSX9OZzLbEm3pGKZJOm6cK6zJe2cCvUnYf97of0yZRamts8P5WZIuiKk\n/SYca4akB/KNMgox/iXE/4ykPqnjHZC6ni+Ea/SqpL4hfaCkyZImSHpL0k2R+g8j6Ty5J1yPVuHa\nrhf27yRpUtgeKukuSVNIOueGA0eGckdk1buBpH+F6/yKpP6x83POOeecc8451zStth0vwE+A16vZ\n3ws41Mz2BL4DDjGznYG9gL+m8v0YGGVmOwALgf8zs5HAf4AiM9tb0vrARcDeoY7XgPTUmg/MrBfw\nIjAaOBToR/IHOcAdwAkAkjqEfY8DvwWuM7PeJH/0f5w+AUlrAbcAPzezPsCGVI6kuAh4zsz6hnO6\nWlJr4DSg3Mx6AL8CxkhaEzgVWGBm3YA/A71Th2oLTDWzXmb2MjDSzHYJdbSRtH8qb+twrqeFc023\n4z7ArsBQJSNByMSrZCrOgUCfUP4vYf+D4Vi9gLeAk4hrCzwb4l8EXArsHdr60pBnPvDTcI2OAtLT\nffqEmLcHtpZ0aLpyM3sQmA78ysx6m9kScketpF9vT3I//Aq4GLg/lHsgq8z1wLVmtitwOPD3POfn\nnHPOOeecc64JWt2nGlWQNArYHVgG3AhMNLOvw+41gBGSBgDlwGaSNgr7PjSzzDyGe4AzgGsz1Yaf\nfYEdgJckCWgJvJw6/PjwsxRoa2aLgcWSlkjqYGYvSLoxdOAcTtLZUC5pKnCRpE7Aw2b2XtZpbQfM\nNbMPw+uxwMlh+2fAgZLODa/XBLYIbXADgJm9LekDkk6R3YHrQvobktLjIX8AHkq93jvU2wZYl2T6\nzeOpGDCzKZLah44kgMfN7AfgC0n/BTYm6byqqJNkWtjSUP6rkN5d0mXAOiSdK08Tt9TMngnbpcCS\n0IalQOeQ3hK4VVJPkvkL26TKTzOzeQCSxob2SJ8zJNdbWa/zeczMllWzP+OnwPbhvgFoJ6lNuEdy\nDBs2rGK7qKiIAQM3L+AQzjnnnHPOOdf8FBeXMLn4lcYOo0arc8fLG8BhmRdmdnqYFvIayciEb1N5\nBwMbAL3CH+tlQL6Fc2Nrcwh4JrOWTERm4nJ5ajtTV+Ya3QUcSzIS49ch5rGSSoADgCckDTGz4six\nYwQcZmbvVklUTnZR83ojS8wsMzJlLZKOq95m9h9JQ6naVvlGgaTPu5zC781/AAeZ2RxJxwMDJa1B\n5XV8zMyGkXQOpevPdOCYpMyxfgd8ZmY9woib7wqIuzo/UDmqLPt++ZbCCNjVzL4vJHO64wWg3OYW\neBjnnHPOOeeca16KivpSVNS34vXw4U3zGSWrbceLmT0v6XJJp5jZrSG5HfE/qNcG5odOlz2pHCEB\nsIWkXc3sFZKpOVNC+jdAB2ABUAKMkrSVmc1Vsr5Lx+xOjxqMAaYBn5rZWwCSuphZGTBS0hZAD6A4\nVeZtoIukLcKol0GpfU8DZ5KM0EFSTzObGeIfDBRL2hbYPNTzUig/WdIOQPdUXenemlYkbfiFpHYk\nI3TS02cydewOfG1mCyOdPWmZnROBP0u6z8y+k7SumX1Jcs0+k9QyxP1xWNy3V3WV5jnG2sBHYfs4\noEUqzy6SOof9g4BbyZW55hllwE4kbX1YJH/Gwqxyac8AZwHXQPIEJDObVU1dLqLbxaMa9fj5FtFc\nsDT3Un4w4txITlh/re7R9LoYNfvOaPpR2678Yzm3usr3+bPwWl9ctzZii6S7piG2UCvAoQN3jqY3\nRap2kPKq56nTTig473pr9ajTsWrzgIGGdFPp2EY9fm3FPgMbuw1rq2T6O7mJ++YmrapW5zVeAA4B\niiTNDSNHRgPnkztK5F6gj6RZwDHAm6l9bwOnSfo3yXSXzGKytwNPSXrOzP5HskbL2FDHyyTTd6D6\nkRMV+8xsfjhuel2UI8NisTNI1qy5C0DS45I2CeuMnAo8LWk6ScdAZvrUpUDLsFhtKZXrydwEtJA0\nm2Ra0PFhtMVNwAaS5oS8c1J1peP8Opz7GyRP6cn+tF0i6fVQX+7S9rltYqHep4HHgFdD+d+H/ReH\nY0yh6nWprs58+24Cfh3ac1uqjkp5FRhFcl5zzexhAEm3KywyTNI5dktYJHctkna6QdI0qo64yTYJ\n2CG2uC5Jp8vOShZ1ngOcUk09zjnnnHPOOeeamNV2xAuAmf0XODrP7jGpfF8AOU+TCSMgfjCz4yJ1\njyL5Qz3zehKQ8zw1M+ua2h6TddyKfWGUzNaENVLC/quAqyJ1phezLTaz7UMdN5J0IBA6ZX4bKbuU\neIfIEuBYM1sqqSvJCJR5oUyV0RpmdjFJh0jMPWZ2Tlb+S7Je90htd0ht/4XKRXUzabdQ2dmVV1Y9\n2cfrEH6+B+yY2nVhavtrM6vyqPFQ5uTU9kNUXfflRSo72NJlso//Jbn3xpiw7wuS6WXOOeecc845\n55qh1brjZSUpZK2POpG0N8mTjf5qZgtryp/l5LD2yZokT3GKTZEpRBuSx2O3DK//LyyGWxv13lbO\nOeecc84551xT4h0vdRCeclO3iY+FHec5YMsVLHsd4WlEdYxhEckjletSx151jaMxmNlkYHJjx+Gc\nc84555xzrvlZ3dd4cc4555xzzjnnnKs3PuLFOdcoPl8SX+W+Lm4qvTeavvDa3PQWP99vpR8/n3mL\npkbTY6vRb3nh1dG8nTZum5P25vk31ymuQdt2i6avt9aOkdRXonljK9SfeeTAuoSV16ndj4mkLq+X\nY7naWW+t+L30xdLSBo6kYXRpH7/Hy+27nLT6ej/Un/LGDqDRTZiYe9/e/7f40nUjn3ihvsNptm4Y\nlztYuGPb3O+9Dus0ryez1EbZwsIHTB+wT8M9UfAXN47OSXvqtHjedi1b13M0K6Zzu5ylM/M+QWlV\n0Lld35y0BUtnR/P+8R9P5aQdNPz0lR5TbfXts21jh9CofMSLc84555xzzjnnXD3xjhfnnHPOOeec\nc865euIdL84555xzzjnnnHP1xDtemjlJG0saK+ldSdMlTZC09Uqo9yxJrVKvL6xrnStLU41N0sGS\ntluBcp0lHZ16PVDS+JUbnXPOOeecc865xuCL6zZ/DwOjzexoAEndgY2B92oqKElmZnl2nw3cAywJ\nr/8IjKh7uIVpyrFV4xBgAvBWoQUktQC6AL8CxqZ25Tv3BmeRUPItXlabBdg2bJW7KBrkLgZWG/t3\n2SqaflHJbQXX0dgLs+VbXG/svhdEUuu2sGz8GsQXPo4tkgjxePPlPaVbj1pEl+um0nty0k7tfnQk\np2toK+MzoTnJt2BmbLHHId0absFMt3LEPtdGzb6zESJxq7v8nzX9ctIO6BL/f9fY73GF1gmwYOms\ngso3tLr+vhZfsD/+u0ZTEHuAxFHbrl7fL7X57m2KfMRLMyZpT2CZmd2eSTOzUmCmpGclvSpplqSD\nQv7Okt6SNEZSKdBJ0j6SXg5575fUVtIZwGbA85KekzQCaC3pdUl3h7oeDiNsSiX9Jk98W0maKGlm\nqL9LqL8pxLaDpFdCuZmStgrpg1PpN0tSSL9J0rRQ59BIff2Ag4C/hLJdJU2S1DvsX19SWdg+XtKj\nkp4DniXpNNojlDsrq942ku6QVCLpNUkH1nhjOOecc84555xrMnzES/PWDXgtkv4dcIiZLZK0PlAC\nPBb2bQ0ca2bTw74/AXub2XeSzgN+Z2aXSToHKDKzLwEknWZmvVPHOMHMvgpTfqZLejCTN+Ve4Aoz\ne0zSmiQdfcuaSGy/Ba4zs7GSfgS0CNOEBgH9zWy5pBuBwSSja/4Y6lwDeC7UOSdTmZlNlfQYMN7M\nHgpxZV+X9H859AK6m9nXkgYCvzezTCdU+tmjFwHPmdlJktYGpkl61izyzFLnnHPOOeecc02Od7ys\nmtYARkgaAJQDm0naKOybZ2bTw3ZfYAfgpTCyoyXwcqqenJ6DlLMlHRK2OwHbABVj/iS1AzYzs8cA\nzGxZSP9RY8cWTAUukrQ58JCZvSdpb6A3SWeNgFbAf0P+oySdTPKe2STENocVN9HMvi4g38+AAyWd\nG16vCWwBvB3LPGzYsIrtoqIiBgzcvA4hOuecc84551zTVVxcwuTiVxo7jBp5x0vz9gZweCR9MLAB\n0MvMysMUl8xitN+m8gl4xswGF3Csio6OMCJjL2BXM1sqaVKq/po0SmyhI2YoyaiT34SRLiXAAcDj\nkk4J9Ywxs4uqVC5tCfwe2MnMvpE0usDz/YHK6XzZ+b+lMAIOM7N3C8mc7ngBKLe5BR7GOeecc845\n55qXoqK+FBX1rXg9fPjIRowmP1/jpRkzs+eBNdPrmChZXLczMD90bOwZXldkSW2XALul1jdpI2mb\nsO8boEMq7zIlC8ECrA18GTo2tiMZnZId2yLgY0kHh7rXlNQ6lG3w2MzsETPrZWa9zex1SV3MrMzM\nRpJMdeoBPAccLmnDcMx1JW0RjrUIWChpY2Df7PMNFmbFVQbsHLaPyFMmU659nn1PA2dmXkjqWU09\nzjnnnHPOOeeaGB/x0vz9Erhe0gUka7t8AAwDRkqaBbwKvJnKX7HOiJn9T9KvgbGS1gr7/gS8C9wO\nPCXpEzPbO7wulfQacCLwW0lvkEx5mZqpU9LtwM1m9jpwHHCrpOEka7scQbLuy/jGiC3LkZKOBb4H\nPgUuD2u4/Al4Jqzlsgw4zcymSZoZYv0IeDF1vpcA081sAvBP4HYlCwAfDvwVGBemKD2eJw6A2UC5\npBnAP4CZqX2XAtdJmk3SMVVGsohvQS4quaPQrHmp2lldKy7fyuR10bldTh8gADeMG7XSj1Vfuq67\nXjR93qLcW7m+VnGvr2u+RfT6FNfLsZxrKvJ9LjnnXFMS+z0DoH3LNg0cSUNpMg8QdQXq0n5gNL28\nmSx96R0vzZyZfUayIGy2/nmKVHmeq5kVAzl/vZnZKGBU6vUFQPp5tvvliefk1PZ7wN5NJbasOq4C\nroqkPwA8EEk/IU89Q1PbLwM/ycqyY2r74pBvDDAmVe4Hcttpcti3hGQhYOecc84555xzzZBPNXLO\nOeecc84555yrJ97x4pxzzjnnnHPOOVdPvOPFOeecc84555xzrp74Gi/OuWpZZPGxfIu6frG0tOB6\n4wtk1W3B3XmLSqLpZx6Ze6wrhz5Sp2O52vswz/WpmxY1Z2mmDuiydU7a1TzfCJG4urio5PZo+uV9\nhzRwJIWZt2haY4fgXIOL/a6zusn3u92CpXMaOJLCxOL1z69VR4d1Vr1FnX3Ei3POOeecc84551w9\n8Y4X55xzzjnnnHPOuXriHS/OOeecc84555xz9cQ7XpxzzjnnnHPOOefqiXe8uChJG0m6V9J7kqZL\neknSwdXk7yypNGwPlDS+4aKtEsfC7Hjq6TijJR0aSd9U0rgaypZJWq++YnPOOeecc84513T4U41c\nPo8Ao81sMICkzYGDaihjebYbUqPGYGafAkfWlK0hYnHN0w3j4k92GtKtewNH0jzMWzS1sUNwzjnn\nmr18TwRq33LVe7pMQo0dgFvN+IgXl0PSXsBSM6t4BqaZfWRmN4aRJC9IejX861tDXUMlnZN6XSpp\nC0ltJE2QNEPSbElHRMp2lTRV0ixJl6ZGs7SV9Gw4/ixJ1XYISTpe0sjU6/GSBkhaI4xcmR3qOStP\n+ePC/hmSxqR2DQwjgd7LjH7JGvmzhqSrwznPlHRapsqwv7WkJySdFF4PlvSKpNcl3Swpk2+hpMtC\nHS9L2rC683XOOeecc84513T4iBcX8xPg9Tz7/gv81MyWSdoaGAv0qUXdmdEevwA+MbMDACS1j+S9\nHvibmY2TdEqq7BLgEDNbJGl9oAR4rMDjpvUEOppZjxBDh+wMknYA/gj0M7MvJa2T2r2Jme0maftw\n/IeyjnUK0BnoYWaWKmtAe+B+4B9mdq+k7YBBQH8zWy7pRmAwcA/QFnjZzP4k6SrgZOCKGs7XOeec\nc84551wT4B0vrkaSRgG7A0uBfYAbJe0ILAe2qW114WcpcI2kEcDjZvZiJG8/ILOuzH3A1ak6Rkga\nAJQDm0nayMzm1zKW94Eukq4HngCeieTZC3jAzL4EMLOvUvseCWlvStooUnZv4GYzs6yyCmX/YmZj\nU3l7A9PDSJdWwGdh3zIzeyJsvwb8NN8JDRs2rGK7qKgI1sqX0znnnHPOOeeat+LiEiYXv9LYYdTI\nO15czBvAYZkXZnZ6WAz2NeB3wKdmdqykFsB3NdT1A1WntLUKdb4rqTewH3CZpGfN7LKssulRKumJ\nmIOBDYBeZlYuqSxTby1j+Cp0IP2cZHTKkZKGAuPDsW+JHDttaZ74CvESyaifTMeLgDFmdlEk77LU\n9nKqed+mO14Anp4a60tyzjnnnHPOueavqKgvRUWVq18MHz6ymtyNxzteXA4ze17S5ZJOMbNbQ3I7\nks6IDsDHIe04oEUN1X0A7A8QOlq6hO1NgQVmdp+kr4GTImVLgMOBccBRqfS1gfmh02VPkuk8GYps\nfwD8XxhJ0gnYJcSwPslokoclvQPcbWYfA70qKkimGj0k6VozWyBp3czolyyxjpeJwCmSisP0oXTZ\ni4Ghkm40s9OA54BHJF1nZp9LWhdoZ2Yf5am7IJf3jTUrHP3k1dH0GDWjxcc6t4svOXTDuFG1qGOX\nSOrcFYyo9g7Yp2kuonvmkQOj6e9/uaCBI6kqfr3yLxLYnEwoe6+xQ3ArweV9T27sEGol33vKObdq\ny/feX7B0TgNHUpi6f8/7sy6asm++WpyTVrYw/gCK5vK95YvrunwOAYokzZVUAowGzgNuBn4taQaw\nLfBtDfU8CKwfFpw9FXg7pHcHpoV6LgYuBZB0iaQDQp7fAedImglsBXwd0u8F+kiaBRwDvJk6Xs5T\njczsJZLOlzeA60hG7gB0BIpDDHcDF2QHb2b/Bi4HJod8f40cJ/Ya4O/AR8DsUPborLjOAlpJutLM\n3gT+DDwTzusZYNNq6nbOOeecc8451wz4iBcXZWb/pbKjINuOqe0LQ/55QI+wPRmYHLaXkEzlyfYh\nkTVVzGxo6uUnZtYXQNIgko4ezOwLoH+euDtkxxNeH5PnXHbKk56u826Sjpl02ok1HdfMlgO/D//S\nebumtk9KbY8jGd0TPaew/SBJZ5ZzzjnnnHPOuWbAO15cU7ZTWNhXwJfAiTXkd84555xzzjnnmhTv\neHFNVnjSUc/GjsM555xzzjnnnFtRvsaLc84555xzzjnnXD3xES/OuWrZKrC2b+yJPFcOfaQRInHO\nOVffmtPT+JxrKvI9Jahdy9YNHElhYk+yWRWeaNjQOrfrF0ltuKd5rk58xItzzjnnnHPOOedcPfGO\nF+ecc84555xzzrl64h0vzjnnnHPOOeecc/Wk2Xe8SDpEUrmkbQvIe2EDxbSwhv07Stp3JR1rd0lz\nJL0uaa061nWWpFYrUO4SSXvV5diukqQXGzsG55xzzjnnnHMrx6qwuO5RwBTgaOCSGvL+ERhR7xFR\n42qkPYGdgSdXwrEGA1eY2X2FZJbUwsyW59l9NnA3sKTQg0taw8yGFpq/IUmSmdW4Mmw4h/KGiKkQ\nZrZ7Y8eQ5osUOoAbxk2Oph+wT/cGjsQ1J/750fz44pTOObf6mLdoamOHsNpo1iNeJLUFdgNOIul4\nQdJASZMlTZD0lqSblBgBtA4jQ+4OeQdLeiWk3SxJIX2hpMskzZT0sqQNQ3pnSc+F9ImSOoX0LUO+\nWZIuTcU3RtJBqdf3hNfDgSPDcY+Q1EbSHZJKJL0m6cCQf4dUfDMlbZV1/icBRwKXps7pakmlIZYj\nU23ygqRHgTfC8SZImiFpdojhDGAzYJKk50K5n4XzelXS/ZLahPQySVdKehU4XNJoSYfmuUZ/kDQt\nxD801Y5vhnJvh3bZW9KL4fXOId9QSXeFGN6W9JsC6n0rtHsp0EnS0eEcZ0u6MlV+oaRrJM0A+mbF\nPDrcD9NDffuH9DUk/SVck5mSTk617yRJD4TzujtV134hbbqk6yWNT53bOal8pZK2yMRWU73OOeec\nc84555qHZt3xAhwMPGVm7wH/k9QrpPcBTgO2B7YGfmlmFwKLzay3mR0raTtgENDfzHoD5SSjRwDa\nAi+bWU+S0TQnh/SRwOiQfl94DXA9cKOZ7Qh8morvDuAEAEkdgH7ABOBi4P4QywPARcBzZtYX2Au4\nRlJr4LfAdSG+nYGP0ydvZncAjwHnhnM6FOhhZt2BfYCrJW0csvcCzjCz7YBfAJ+YWS8z6xHacCTw\nCVBkZntLWj/EtbeZ7Qy8BpyTOvz/zGxnMxuX7+JI2gfYxsx2CcffWVJmNMdWwNVm9mNgO+DoMNLj\n3HDcjO5AEdAfuFjSJjXUuw0wKrTBD8CVoXxPoE+qI6wtMDW0wcuR8DubWR/gAOAWSWuSdPB9ZWa7\nArsAQyR1Dvl7AmcCOwBbSeqvZOrXLcDPQ10bUvNoKLLy5NRbQHnnnHPOOeecc01Ec59qdDRwXdi+\nH/gVScfGNDObByBpLLA78BBUGfO8N9AbmC5JQCvgs7BvmZk9EbZfA34atvsBvwzbdwNXhe3dgENT\n6VcCmNkLkm4MnRiHAw+aWXlyuCp+Bhwo6dzwek1gC2AqcJGSkTUPhw6m6uwOjA3Hni+pmKQTamFo\nkw9DvlKSzp0RwONmlllTRKk26kvyx/5LoX1aAukOivtriCVzXvtIej3U25akY+QjoMzM/h3yvQE8\nl4qtc6qOR81sGfCFpOdJOjz2qKbeD8xseijbB5hkZgsAJN0LDCDprFpOck/kMw7AzN6TNJekc+hn\nQHdJR4Q8HcJxvydp30/DcWYCWwLfAnNT7T6Wyk68QsXqjXUUATBs2LCK7aKiIgYM3LyWh3POOeec\nc8655qG4uITJxa80dhg1arYdL5LWJRkd0k2SAS1IRgo8HskeG2UgYIyZXRTZtyy1vZzKdqputEJm\nX3avyl3AsSRr0fy6mvKHmdm7WWlvSyohGXXxhKQhZlZcTR3Z0rF8WxGo2buSegP7AZdJetbMLouU\nfcbMBhP3bXaCpF2AW0na4uJQxwgzuz0rX2dgaSqpPPW6nKr3ZbrNlXqdr97suPItMPBdDeu/xI4r\nklFDE7OOO5Cq55O+Z/Id/weqjjjLt6hxvnqj0h0vAOU2t7rszjnnnHPOOddsFRX1paiocuWI4cNH\nVpO78TTbjhfgCOAuM/u/TIKkSSSjIfqEP8I/IplOdEvIskyVi8s+Bzwi6Toz+zx05LQzs4/I/8fy\nyySjbO4BjiGZhgTwYki/l8rpShljgGnAp2b2VkhbSDJaIuNpkukkZ4Tz6GlmMyV1MbMyYGRY/6MH\nUFxNm0whmf5yF7B+aIs/kEy5qiBpU2CBmd0n6WuSKTQA34S4FgAlwChJW5nZXCXru3SMdA5VMLNp\nJFN/MsdZCgyXdJ+ZfStpM5LRIZC/jbMdHEbmtAcGAueTLP5bSL3TgOslrQd8TXKNri/w+EeEduwK\ndAHeJrlOp0qaZGY/SNqGZHpWPm8DXSRtEUa9DErt+wDIrB3TOxwjY7VdjfL+/S7OSbtw6qhGiKTx\nTJhYGk2/co+BDRaDRfqYzzwyfvz3v1xQ3+FUOLX7MZHUfGuFu6Ygdi+tfuIf6ReV3NbAcRSmc7td\nGjuEOvP7ztXWqrAQ+ISy+MD4/btsFU3Plu+9v2DpnBWOqWlrXtf81O65/xe+YOnsRoik8XRpH/9d\ntNy+a+BIVkxzXuNlEPBwVtpDJCNLpgOjSKawzDWzR8L+24BSSXeb2ZvAn4FnJM0CngE2DfnyfWOf\nCeeoxkkAACAASURBVJwQpnwMBs4K6WcDp4V6Nk0XMLP5wJvA6FTyJGAHhcV1gUuBlmEB2Dkki+9C\nsgDvnLAA7E9IRs8g6XFJm2THamYPA7OBWfD/7N17nF7T2f/xz5emUoI6tUqJUIdqEhKnUJXBo3V+\n0KJKKW3RaLWPalWRRFBUWyrOLWkcK34pKo6RJhGHCImcCC0NSp2jJFSQXL8/9rqTPffsPXNPJnNK\nvu/Xy2v2Xnvtta699z0xs+Zaa3M/2dovrxdcRy9gUmp3IFDJdvkDcI+kMRHxJtn6NDel63oY2Lzk\n/hTer5QZciPwiKTpwC1At4JzGvsJaTrZYNPDwJCIeLXWdiPiVeAX6fwngMcjYlRRn8peib1vruhF\nsoGbO4Hj0nSnPwJPAVOULd57BVmmVYNLT/1/AAwA7pX0GNnA1jupzkhgrdTOALJBmqbuh3+SNDMz\nMzMz62Q6bcZLROxeUDY0/SL+04jYv+D4qcCpuf0RpLU8quqtltseSfZLMilroajf58kWf61Y9Gf7\nlCnyBdLaK6n+22RrleQdX9Du+SxeRyZfvk9u+5iqY6eQZYXky8YD43P795ENNFW3ewnZgFVlf2xB\nnETExlX7x1TXyR0byuJFiPN6F52f1ubpnas3PSK+syTtpno3U7AeTf4Zp/3qV2LfHxEDquoE2cK/\n1dPTqu/viblj4yLiiwCSLgUeT3U+AL5WEP+i2Aqe24lF9c3MzMzMzKzj6swZLx2epN3JMiQujoi5\n7R2P1WxpZpZ8X9lru58km8Z15VJs28zMzMzMzDq4TpvxUqY6S6A9RcQYsrfQ2BKIiDPbqd/SDJ4l\naOsiFr95y8zMzMzMzJYzzngxMzMzMzMzM2sly1zGi5l1XofeNaRB2cZrrNnido/t2atB2XncVlCz\n/ZW9PcjMOqvi2avn9Du2QVlHfdPR8qY5/9+554SjG5T9YkLtiddvfDCpsHytlbauuY1i7b8ev/9/\n1npemPdIK7Ra9L4IWHOl3oXl1nH96jt7tuj8Qzfr2aDsyrETaz7/d08U/7u2vHPGi5mZmZmZmZlZ\nK/HAi5mZmZmZmZlZK/HAi5mZmZmZmZlZK2l04EXSmulVuFMkvSLppdx+zevDSDpL0oktDxckTZC0\nzEw2bMm9kbSrpO2Xdky59jeR9EQL2zhQ0mYlx5bK50LSipLebsH5SyuOf0laraD8AEk/LShvUdxm\nZmZmZmbW8TU6eBIRc4A+AJIGAvMi4ndtEZjVZDfgTaA1VzBa4tXZJK0IHAQsBP6+1CIq1v6ryJXE\nEBFlq7iq7BwzMzMzs/Y2Z/709g6h0AvzvIBra1mna9Hf9f/Y5nFUmz23eOHy7t1aLQ9hqWrOVCPV\n25H+KukxSTMkHZMr30fSZElTJd2TO6W3pHGSnpX0g1T3HEkn5M49T9IPJK0g6QpJT0m6V9LdkvZv\nEJB0hKTp6b9zUtmKkq6VNC2V/zCV/5+kJ1Nc16ayepkOkmZJWk9SN0l3peye6ZIOKuh7f0kT07Xe\nI2ntVN5N0p9S/1NTvXqZDZIOlfSHgja/kNp6LN2rL5T1JWlj4HvAySkDqZ+k6/L3SdLc9HW9lCk0\nJV1Pv4K+e0qalOpMlbRROtRF0h8lzZR0p6RPpvp9U0xTJd0iadVUPkHS7yRNAk4F9gZ+l9rdsLpf\noK+kRyQ9I2nRqwEknSLp0dT+6bny/OfuuwXXsU5q76tNtDMw9fkAsGlBXEhaRdKw3L3fN5WvmK5x\nRmr3+MopwP/l7mHl+X1X0oVpe+PU3jRgcK6v3SXdL2mkpKcl/Sl3bHC6humSLiuK1czMzMzMzDqm\nlrxO+siI+I+kTwGPSxoJdAUuA74cES9J+nSu/qZkGRprArMkXQFcA9wEXCppBeBgoG/6+rmI2FLS\n54BZwOX5ziWtD5yV6s8F7pe0N1kGyNoRsVWqV5n68TNgw4j4WAXTQZJK9sHewOyI2Du1sWpB3fER\n8dd0/Djgp2QDDYOB13P9r17VdnVfeVcB342I2ZJ2Ai4FvlbUV0ScKumPwBsRcXE6dkJVe5U+jgD+\nGhEXSBLwqYK+BwAXRMQtkrqQDSJsAGwOHBoRT6VnfAAwArguxTpR2aDXGcDPU1srRMT2KabNgVsq\n8RfoCewIfBqYImkUsC3Zs9ohxXuXpH4RMZGGn7v/B8xLfa0L3A78PCLGS9qrqB1gAXAg0IvsMzsV\neLggtoHA3RFxdPosPyrpPuA4ss9nr9Rv/nP+SkT0lfQj4KR0X/PPYihwYUTcrIbTm/oAWwJvABMl\nbR8Rk4CLImJw6utGSV+LiHtL7qeZmZmZmZl1IC0ZePmppP3S9vrAJsCGwN8i4iWAiPhPrv6oiFgA\nvCHpLWCdiHhO0ruSvgRsBDwaEe9I2pnsl3si4hVJRXlFOwBjIuJtyH4hBXYBfg1sJuki4K6IuC/V\nnwncIOl2oLGpHwDTgXMl/SrFXfRLeXdJvwHWBT7J4qk0/wP8b6VSup4VS/pb3HE2QNMPGJkGCWBx\nRlJZX7V6DLhCUlfg9ogoyhl8GDgjZbr8JT0bgH9ExFOpzmRgI0lrAiulgRCA4cC1ubZubkZst0XE\nR2Sfi/HAdsAewJ6SppA9k1WAzYCJFH/upgErAaOB43LP66sl7awDjIyID4EPJd1RElvl/FPT/ifJ\nPuO7AxdWKlV9zm9NXycDexW0uSOwb9q+jlzWCzAxIl4DkDSV7HtiErCHpJPJBonWAh4HCgdeBg9e\n3FxdXR279N+g5NLMzMzMzMw6t3HjJjJ+3KPtHUaTlmjgRdLuwM7A9hHxoaQJZL8UQtWUpJz5ue2F\nub6vBo4m+yXziuaGUl0QEXOULb67FzBA0tcj4jiyzJH+ZIMiv5TUC/iY+tOtuqY2npa0LVnmy3mS\n7oqI86q6uhQ4OyLuTffjlEbiXFjUT8G1vBERfQuO1drXoutJGUSfSNczVlIdsA8wXNKvgQ+B08ky\nMb4TEddLephsUOAeZdN+XqH+c1vA4udW9pwB3mvkWLV85k9lzRORXe+wfMUmPncfkWWufI3F2Stl\n7TRY6LYRB0TE7KrzG6tfuV/5e5UXEVG55uqGGtzrlNkzFNg6Il6VdBbFnx+g/sALwMJ4rrFYzczM\nzMzMOq26un7U1S1eSWPIkKHtGE25JX2d9OrAnPTL75fIshQg+4W3TmktD0lr1NDWX4D9gK0i4v5U\n9hDwjdTG58gyWao9mvpaQ9kblr4JjFe21soKETESGAT0SRkkG0TEOLJBi7WAlYHnyaa1oOztQBuk\n7fWA9yLiBuC3ZNOZqq0G/Du1fVSufDTww8qOpE+nX7TnKHtL0Apk01zqSVkTr0g6IJ0nLX57U1lf\nc9OxikXXQ7ao7YqprQ2B1yLij8CfgD4RMTIi+kRE34iYLqlHRPwzTVsaBVT6LhzcAt7X4rVivg0U\nr3bUMMZqB0jqImkdskGVSjbHdyWtnOJfX9JalH/uIBuwOQrYStJJqaysnQeAAyWtlKad7Uuxe4H8\nGkBbp83RwPHpWdb6Oa94RNKhafvwGup/imwQ5q005e3rzejLzMzMzMzM2tmSTjW6EzhW0kzgGbIp\nIETE68oWzr09ZQX8myzLotqiLIeImK9sgdNXcsdHALtKegp4AZgCvJM/NyJelnQGi3/h/2tE3C2p\nD3B1GqRYSLbuSBfgRkndyAabLoiI9yTdAhwhaXq6hkp6wFZkmS4LybIQjgOQdDbwYETcA5xJNmXp\nLWAc2TQgUvllkmaQZaCcQTaQ8QvgPuA1smkoKxXcl8OAyyUNTjFfTzbtqayv24FbJB0InABcSXbv\n9yF7RpUMit2BkyR9BLxLNlBS7VuSDiPLHHmZbNBqHcrfunNkirUr8CxZ1hIF9W8CrkyDIQeQDXJ8\nEBHXpOMzyQZC1gQGRsQbwN3K1oaZmD5H7wLfouRzV+k3IhZKOgQYJendiPijpC2q24mIxyTdlu7t\nq2SDeABIGpCLbwhwUfp8KF3ngek+bwpMT/f0crL1eWp5Q9GPyaa8nQqUrXsDiz/nc5QtBj2L7Ptp\nYiPnWImeAy9p7xBq9s+35xSWXzVzRoOyc/p1jlXcl5bLZlzfoGxAr8PaIRKrtmqXlQvLo4UvblOj\nyZWdw2UzbigsH9DriDaOZPnR0s9N0b/D669S/Bnf89JhDcq27r1xzX0Vvz0EFsaHNbdRrP2/dy4e\n0fBvcucfXTQLu/219N+q1tJj1f6F5cWfj5ZmOS9o4fkt173bjoXlZW+zaYminymWFb/80z0NyvYf\n8sOCmsUumX5N05WSfXt8oUHZKl2Kk/N/+LeGcTVH+ffDf1vUblupeeAlIs7Mbc8H9iypdzdwd1XZ\nGVX7W1a2U9bA9tRfF2WhpJPS4MjaZL9szkzHdsnVuxG4sartJyjOUNm5INb3ydYTqfbv6mtI9U/P\nbf+FLFunus48skGJ6vIRpHVrqsrPyG3PpuC+NtLXMyzOTKnYIbd9eqo3DGj4k0H9ts4Bzqkqfpfc\nvYyI83PbT5CtSVPdzi5V+xPIFoytuCx3rN7nouq8i4CLCg4Vfu7IBm5I67Z8NdfOheTWY8mVn0W2\nOHN1eT6+94FjC+p8DPykoHzD3PajlTgi4upc+XPUv28DU/kYYEyu3oDc9qlkCzebmZmZmZlZJ9OS\nxXVbTFJPsr/63xwRz1cdvjtNA/kEWSbEW20dn5mZmZmZmZlZS7TrwEtEzAQK8zGrMyfMzMzMzMzM\nzDqbJV1c18zMzMzMzMzMmtCuGS9mZnmjRjdcQPbEQ4oX0upMyhaLmzN/Ws1tHNuz19IKZxnT/n8/\nWBYWgO2oNuy2XdOVOrgBvWp5gZ0tTR11odTlTWf6/3dr/TtevBhow5912tqsU64qKG354rovzJvU\n4jaKdOvyqQZl8z7qHAuqLutGzX62Qdmhm/Vsh0g6vvb/idXMzMzMzMzMbBnlgRczMzMzMzMzs1bi\ngRczMzMzMzMzs1bigRczMzMzMzMzs1ayXA+8SFpf0m2S/i7pH5IulNSsBYclXSVpi7R9aq68u6QW\nrZ4laZikg1rSRhPtD5J0Umu131KS/rdyb9P+mZJ2a6dYZktas4k6pzZ23MzMzMzMzJY/y/tbjf4C\nXBoRB0gS8AfgV8DPKxUkrRgRpct8R8Sxud1fAufmDy9pYJJWXNJzlyEHAKOApwEiYlA7xlLLs6x+\n/tZM++7ROm/uKXqzwnmDbmuVvoq8MO+RwvJVu6zcZjEsuxa2dwB+g4pZOyl+Ywy88UHrvFnFrMzM\nIT9s7xCa5YvnH9ugbNYplxfWXXOl3q0SQ9H/O8t+Xir6Xl9rpYZvNWqttyqZLQ3LbcZLypz4b0Rc\nCxARAfwfcIykH0i6XdIY4H5J/SWNlXSLpFmSrsu1M1ZSX0nnAp+SNCV3/BMpI2ampHskrZTO2UrS\nI5KmShopafVcWxdKmgScmNroL+khSc9Wsl8kDZe0fy6G6yXtJ+mo1N7dkp6RdH6uzp6SJqc+R+du\nxZdSv89K+lGqWy9bR9JPJQ1M2ydKejK1c2PBfV1F0v2SHpc0rRJnavOpkvvxPUmTJD2R7nFXSTsC\n+wO/Tve0Rz4DKGWgDE7XNE3SZqm8XhaPpBmSNpS0sqRRqY/pkg4uiL2/pPGp3tOSLssfztW7VdJj\nqe3vpbJ6zz9l5/w4d87Zkn7UWB+S5ua2vy5pWNo+OPX1hKRx1XGbmZmZmZlZx7XcDrwAXwIm5wsi\nYi7wAlkmUB/goIjYNR3emmwwZEtgE0k7VZ17KvB+RPSNiG+n4k2BoRHRE3gH+Hoqvxb4WURsDcwE\n8pkcXSJi+4i4MO2vGxFfBvYDKgMpVwNHA0haDdgRuDMd2wo4GOgNHKpsOtXawFXAganP/KDD5sAe\nwA7AoFymTdmfcE8Btk7tHF9w/L/AARGxLbAb8NvcsS+U3I+R6Zr7kGW3fDciHgH+mu5T34iYXdDX\n6xGxDXAFcHJJvJXr2BN4OSL6RERv4J6S+tsBJwBfBL6g4qleR0fEdqnujyWtUfD8rwGOBJAk4JvA\n9U30UX3PK/tnAF9N92d/zMzMzMzMrNNY3qcaFRHZL7yjI+KdXPmkiHgFQNJUYCPg4Sba+mdEVDJH\nJgMbpYGS1SPiwVQ+HBiRO+fmqjZuA4iIWZI+k7YfkHSppLWAb5ANXCzMfr9nTETMS3E+CXQH1gTG\nR8SL6fz/5Nq/MyI+Bt6S9Brw2SauaRpwo6TbKrFVWQE4V9IuZHMA1qvEDcyuvh9pu7eks4BPA6sA\n9zYRQ8WtubYOLKlTyVSZAfwmZabcmbv/1SZFxAsAkm4Cdiabkpb3E0kHpO3Pkw2w1cttjIgXJL0p\naStgXWBKRLydnlFZH6LYg8BwSSMKYqln8ODBi7br6urYpf8GjVU3MzMzMzPrtMaNm8j4cY+2dxhN\nWp4HXp4iG7RYJA2KbAh8DLxXVX9+bnsBxfeu+hfn6nO6ltTLa6zf/HnXAt8my6T4Tkn9hbk4y/os\nqv8xkF9jpmtuex9gF7LMi9Mk9YyI/CILhwNrA33SYNDs3Pll92MYsH9EzJR0FFA8abs89vzz+Jj6\nmVxdASLiH5L6AnsDZ0n6G9kAz5VkA20Dgbk0VC8LRVJ/skyeHSJivqSxlD/XP5JlJq1LlgFT2GZu\nP1++6J5HxABJ2wH7ApMl9Y2ItwtirTfwArAwniuqZmZmZmZm1unV1fWjrq7fov0hQ4a2YzTlltuB\nl4gYI+lcSUdExPVpis1vyAYBGq7WVJsPVX8x3gaDHRHxrqQ5kr4cEQ+RDZ6Mr7H9fHvDybIsXomI\np5s4byJwqaTuKRNjjbJf3JPXgHUkrQG8T/YL/93p2IYRMV7Sw8ChQDfg3dy5q5NNAVooaVeyjJui\n+PO6Aa9K6kI2cPNSKp8LrNbEtVV7nmxwiDTQ0iNtfw6YExE3SnqHbDrTWWRTykh1+gPbSeoO/Ctd\n3xVV7a8OvJ0GXbYA+uWOVT//24CzyL7PDsvV276kj1clbQ78gyyD590U18YR8RjwmKQ9gQ2Axp6f\nmZnZMuXO2Q3/kLBPj+K63bp8qpWjsVpcPKLhj7fnH71XO0TStJYukt5z4CWF5e9dWOvfEjuuFVTy\njVage7ftG5SVLXirRv8O3X727fGFBmVeRN+WhuV5jRfIfrk9RNLfydYWeZ/szTRNiZLtq4AZWry4\nbtl36XfIpr1MJVuTZUhJ/dL9iHgdmEU2UNRonBHxJnAscKukJ4A/N1H/4xTTY2RZIbMAlL1q+3pJ\n08im9/w+DSRtI+mq1MYNZIMX04AjKueWXE/FQLJBpAlV9f8M/CwtoNuD8vueNxJYS9niwAOAZ1J5\nL2BSuv6BwNkl5z8OXAI8CTwXEZXpVJX+7gG6pGlcvwLyy6/Xe/4R8REwFhiRFm9uqo9TydbqeRD4\nd67+BWlB4OnAQxExvSR2MzMzMzMz62CW24wXgIh4meLFSoen/yr1xpPLSomIE3Pbu+W2TyX75bmi\nd+7Yb3Pb08gWxK2OZ7eq/WOq9hdlf0hamWyx2ptyx6vj3j+3fS9Va6dExJlV+/l4LyEbHKj2lYK4\nJ5MN7BARbwE7VddJyu7HFTTMLCEiHiZbBLnimNyxjav63y1tfwB8raDvF4H7SuLKeyd/34r6I5uu\n1ED185e0AllGzDeqqpb1MZJs4Ki6/OvVZWZmZmZmZtY5LO8ZL52SpN3J1qi5OL2JyToYSV8kmzI0\nOsILrZiZmZmZmS2vluuMl84qIsaw+I1AtpRUZza1sK1ZwCat2YeZmZmZmZl1fB54MbNlxgvzJrZ3\nCMuEjrrgXZGyRfus3KjRMxqUfeXoz7dDJMuHsoUpF8bzbRtIJ7dPjwZ/y2g1/h6xpWX23Jb+rW29\nkvLnW9hukRWbrtLKrprZ8HsP4NwdDysodUK5dS6eamRmZmZmZmZm1ko88GJmZmZmZmZm1ko88GJm\nZmZmZmZm1ko88GJmZmZmZmZm1ko88NKGJC2QNEXSTElPSDopd2wbSReVnDdb0ppNtL3EdSTtJ+nn\ntV5HSdufkzRiCc67StIWTdQ5TtIRSx6dmZmZmZmZWfvwW43a1nsR0RdA0trATZJWi4jBETEZmFxy\nXtTQ9hLXiYg7gDtqOL+84YhXgEOqyyWtGBELGjnv2BravrIlsZlZ80RN/5x0DN27bV9Y3pnedrTm\nSr1LjhS/3WF5UvYcu3fbsY0jWXKnPvLLwvJz+jX5v78O48RD+heW//PtOW0cidny5t9t2Ffpj+tt\n5tievdqsrwG9Di8sv2zGDQ3K2vKtamWK4vrmZm13v6zlnPHSTiLiTeBY4IcAkvpLuiNtrynpXkkz\nJP0BFr/bVdLhkh5NmTOXS6ocUzreXdIsSddLekrSCEldc3VOlDRZ0jRJm6VzjpI0NG0fnPp9QtK4\n6rglnStpQG5/kKSTUr8zcu3dLmkMcL8yl6V47pV0p6SDUt2xkiqDUXMlnS1pqqSHJa2T7yNtf0/S\npBTfLZVrkzRM0u8lPSTp2Vz7q0i6X9Lj6Zr3L3oektaQdGuq87Cknrm+r01lz0j6Xu6cC9K9mibp\nkFS2rqTx6flMl/RlSSuk+Kanuj8uuPa1JM3O3b9bJd0n6Z+STpD0f6nNhyV9uvFPl5mZmZmZmXUU\nHnhpRxExG1ihMsDA4oyUQcCEiOgF3ApsCJCm5BwK7JQyZxYCRcO1mwOXRMSWwFxgQO7Y6xGxDXAF\ncHI+nPT1DOCrEdEHKBqkuJn6mS2HAH+uagOgD3BQROwKHARsmOI5Eij7U+UqwMMRsTUwAfh+QZ2R\nEbF9iu9p4Lu5Y+tGxJeB/YDzU9kHwAERsS2wG/Dbkr7PBKZExFbAacB1uWO9gDpgJ2BgGlw5COid\nntEewAWSPgt8C7gnPZ+tgKnA1sD6EdE7tT+sJIb8/fsScACwPXAOMC+1OZHsHpqZmZmZmVkn4KlG\n7U8FZbsABwJExF2S3k7luwN9gcdSpktX4NWC81+MiIlp+3rgR8Dv0v6t6evkSh9VHgSGp/Va/lJ9\nMCKmSlpH0rrAZ4A5EfFvSd2rqo6OiHfS9s7ALen81ySNLegXYH5E3JWL738K6vSWdBbwabKBmntz\nx25LfcyS9JlUJuBcSbuQDVStJ+kzEfF6Vbs7kw0QERFjU9ZRt3Ts9oj4EHhL0t+AHVL9m1L911N2\n0HbAY8A1krqk86ZJ+ifQQ9LvgbuA+0quP29sRLwPvC/pP8CoVD6DbCCo0ODBgxdt19XVsUv/DWro\nyszMzMzMrPMZN24i48c92t5hNMkDL+1I0sbAxxHxxuIZQ8VVc1+HR8Rpzewqn0kxP31dQMHzj4gB\nkrYD9gUmS+obEW9XVbsFOBhYlywDpsh7zYwR4KPcdmF8ZNki+0fETElHAfmJ5/Nz25V7djiwNtAn\nIham6Txd03Sp75Pdm32aiCt//0Q2gFNNABExQdJXUpt/kvTbiLhe0lbA14Djye7d94CPWZx11rWq\nvfy1RG5/IY183+YHXgAWxnOlF2VmZmZmZtaZ1dX1o66u36L9IUOGtmM05Tzw0rbya7WsA1wOFH0y\nHiAbMDhH0l5k2R0AY4DbJF2UBmvWAFaNiBerzt9Q0g4R8SjZ1JcJNQcobRwRj5Fl1ewJbABUD7yM\nAP4ArEX9gY8yDwFHSrqWLEumDmi4QlRx9k+1bsCrKaPkcOClknqVtlYnm161UNKuQHeAiLgMuGxR\nZekB4AjgbEl1wJsRMS8NiP2vpHOBVcmu9xSy751j0zWtBXwFOFnShsBLEXF1Wn+mr6S7gI8i4lZJ\nf2fxNKbngW2Bx8kGY6yFunfrV3Kk8yxSOmp0caxTp/+zQdmsU4oXlrXOZc786W3a3757eDG+ttSW\ni0W2lotHjC8sb8vPUo9VG/64MXtucVzNsU7Xhv+O+ntk6ShblLkzuWpmy35+KPrcdqafSQDe/OD2\n9g6B1llkuOjvqB1X0WLAbf3zg7WMB17aVldJU4BPkmV3XBsRFxbUO5PsjUffBB4GXoRFU2hOB+6T\ntALwIXBCOp7PyngGOEHSMOBJsvVcoLY3H10gadO0fX9ETJf0OeAPEbFviuMpSauSDTC8VkObI8nW\nV3kS+BfZNKLKNKR8TLXENxCYBLwOPEo2GFJ0bmX/BuAOSdPIBjhmlbR7JtkUoWlk2Tr5dVSmA+PI\nBliGRMSrwK2S+gHTyP7l/lmacnQk8DNJH5Gtr3Mk8HlgWHpmAfwitfsbYISk7wN3NnLNnecVM2Zm\nZmZmZlaPB17aUER0aeTYeGB82p5DNi2lqN4tpPVSqso3BkgDIh9HRIMFWCt10vZkssEQImI4MDxt\nf73gvFfIph7ly3pX7b8A9K5uL+2HpJ9FxHuS1iQbMJmRju2Wq7dabnsk2YANEXFmrvwKFg8k5fs/\npmp/tfT1LbJFcRuVplMVrXkDMD0ivlNwzilk2S/5smuBawva2Kbg/GfIFuCtGJjKq+9f/rnVO2Zm\nZmZmZmYdmwdelk0dMUNiVHoNcheyrJHqxW3NzMzMzMzMljkeeFnG5DNPOpL0WulOJ59tY2ZmZmZm\nZtZcKzRdxczMzMzMzMzMloQzXszMOq0V2zuAZtmw8K1T49o6DFuORAeYeVv2VpRz+u3YxpF0bkvj\nDUZF3vhgUqu0a52LSl6sWfRWsqK3fJW9wam1PreXzbi+Vdpdnlw246b2DqHV/Oo7e7Z3CFbAGS9m\nZmZmZmZmZq3EAy9mZmZmZmZmZq3EAy9mZmZmZmZmZq3EAy9tTNJCSdfm9leU9Iakv7ZnXK1N0omS\nnpJ0XTv1f5SkobWWm5mZmZmZmS0NXly37b0H9JS0UkTMB/YA/rU0Gpa0QkQsXBptLUHfK0bEgkaq\n/ADYPSL+3YZ9VitbZbHdV19cgmuxZihaCM/MrC2c0+/Y9g5hmdBj1YaLl7bWwqXW+fTbbrMGZaNG\nFy9sbWbWHpzx0j7uAvZJ24cBi5bVlrSdpIclTZb0oKRNU/kKki6QNEPSVEknpPLZks6T9DjwtjnY\njAAAIABJREFUDUlbSXok1RkpafVUb6ykiyQ9IWm6pG1T+SBJJ+X6nyFpQ0krSxqVq39w9UVIGibp\nckmPAOc30tblwMbA3ZJ+3MI++0t6QNLtwJOp7HBJj0qakuJRKj9a0jOSJgJfbuqhSNpH0kOS1pS0\nr6SJ6TncJ2md3P26Ot3PZyX9KHf+GZKeTvHdWLlGSd+TNCld1y2Sulbdv4np/q0h6VZJ09JnoFeq\nV1huZmZmZmZmHZ8HXtpeAH8GDpO0EtAbeDR3fBawc0RsAwwCzk3lxwHdgd4RsTVwQ+6cNyNi24gY\nAVwL/CzVmZnaqPhURPQBTgCGNRIfwJ7AyxHRJyJ6A/eU1F8/InaMiJPL2oqIHwAvA3UR8ful0Gcf\n4EcRsYWkLYBDgZ0ioi+wEDhc0rrAYGBHYGdgy5K2AJB0APBzYK+ImANMiIh+6TncnI5VbE6WqbQD\nMChNF9sOOBDoBewNbJurPzIitk/3/mngu7lj66d+TgbOBKZExFbAaWTPkkbKzczMzMzMrIPzVKN2\nEBEzJW1Elu1yJ6Dc4U8D16ZMl2DxM9oduDwiKoMZ/8mdczOApNWA1SPiwVQ+HBiRq3dTOneCpFVT\n/WqVWGYAv5F0LnBnrs1qtzRyqaraVhP1au1zUkS8mLZ3B/oCj6VMl67Aa2SDImPTIAqSbgY2LWlv\nd7KBkq9GxLxUtoGkEcDngC7A7Fz9OyPiY+AtSa8BnwV2Am6PiI+AjyTdkavfW9JZZM92FeDe3LH8\n/dsZOAggIsamzJtVS8q75WJdZPDgwYu26+rq2KX/BiWXbGZmZmZm1rmNGzeR8eMebbpiO/PAS/v5\nK3ABUAesnSs/C/hbRBwkqTswtoa23quxz+q1TAL4mPqZT10BIuIfkvqSZW+cLen+iDi7ib4L2ypQ\nS59nSfob2SDFlSnWgcDcqj4FDI+I0/IdSPpfygd6qj0H9CDLZJmcyoYCv4mIOyX1p37m0Pzc9gKa\n/j4aBuyfBtyOAvIT1fPXUrTWTFFZ6XXlB14AFsZzTYRmZmZmZmbWOdXV9aOurt+i/SFDOuZ7UzzV\nqO1Vfmm+BjgzIp6sOr462bQcgKNz5aOB4yStCNm6H9UNR8S7wNuSKuuZfBvIrzx3aDp3Z+CdiJgL\nPE+WMUIa9OiRtj8H/DcibiQbIOpbw7UVtlVrvao+fwP0iYhJaepR34gYVdDWGLK1bSprsKwhaUOy\n6Vu7pP0uQIP1Yqri+TpZptEXU9lqQGUh4KMaObfyPB8C9pO0kqRuwL65Ot2AV1MchzfS1gTgiHQd\ndWRTyOYVlL9RlO1iZmZmZmZmHY8zXtpeZarQy8AlBcd/DQyXdDrZNKSKPwKbAdMlfQj8AbiMhhkR\nRwFXSvoU8E/qD958IGkK2XM/JpWNBI6UNINssOKZVN4LuEDSQuBD4HgASWcCj6VBkOq+y9qiqm6t\nff6g4P7UExGz0r26T9IK6bwTImKSpMHAROBtYGrlHEn7AdtExOBcO3+XdDhwSzp+JvD/JM0B/gZs\nVBZCOv9xZa8En0Y21Wk68E6qMxCYBLyernfVgntC6vMaSdPIMmEqAz6DS8rNzKyDO23iVYXlftuR\n2dIz8bG/t2v/ZW9PPLZnw/chFJUB/GKC39JltizzwEsbi4gG66pExHhSZkpETCSb8lIxMJUvAH6a\n/sufu3HV/nSyBWWLXB8RJ1XV/wD4WkHdF4H7CmIdlNs+pupYWVv14mxun1XtLLpXubJbKFhrJiKG\nk61zU11+B3BHdZ2ImAr0TNVmk00Hqz73zKr93rnd30bEkDTo9QBp2lJEXAFcUdBW9f17m2yB3up6\nheVmZmZmZmbW8XngZflRtFaILV1XSdoSWAn4UxrIMTMzMzMzs+WYB16WExGxW3vHsKyLiMbWbzEz\nMzMzM7PlkBfXNTMzMzMzMzNrJc54MbNl3omH9G9Qdt6g29ohkuXbi/MmtncItpzRohfPtZ+yhTSt\neWbPbbuFR0eNntGg7CtHf77N+rfm67fdZg3Kip5jmSiZkd+9W9GyiUXvxijWY9WGP3+c+kjt55cZ\n0OuIBmWXzbi+xe0uTwb0Kk5Uv2zGDW0ciS0vnPFiZmZmZmZmZtZKPPBiZmZmZmZmZtZKPPBiZmZm\nZmZmZtZKPPBiZmZmZmZmZtZKPPBSI0kLJE2R9ET6+vNUPlZS3yVsc5ikg5ZupK1D0ihJq7V3HEUk\nXSVpi1buY24Lzp0tac2lFMepS6MdMzMzMzMzaxt+q1Ht3ouIJRpgWRZExL7tHUOZiDi2Lbppp3Or\n/RI4dym2Z2ZmZtapTXzs7+0dglmrKnrb0jc3a/lb84re3DWgV78GZVeO9ZspW8oZL7Vr8p2UkvaQ\n9LCkxyXdLGnlVD5b0vmSpkuaKGnj3Gn9JT0k6dlK9oukVSTdn9qZJmn/VL5yyjx5IrV1cEEMwyRd\nJumR1GZ/SVdLekrSNbl6l0maJGmGpEGpbDVJT0vaNO3fKOm7uWtYU1J3SbNSP89Iul7S7pIeTPvb\npvqDJJ2U62+GpA1rvIZmXX8+66jounLxD5Y0ObXZ8L2DWb2T0/lT8+c3VSd3X65P93qEpK6VU4AT\nq/uWtF36vExO969y34+SNFLS3emenpfKzwU+lTKuriuKzczMzMzMzDoWD7zUrvILb2WqUb0BA0lr\nAacDu0fEtsBk4KRclbcjojdwKfD7XPm6EfFlYD/g/FT2AXBAamc34LepfE/g5Yjok9q6pyTWT0fE\njqn/vwK/jYgtgd6Seqc6v4yI7YGtgDpJPSPiXeAEYLikQ1M7V6f6+ayNTYALImJzYAvgsIjYGfgZ\ncFpJTJXza7mG/7bg+htcV+7Y6xGxDXBFirUeSXsAm6bz+wDbStq5GXU2By5J93ouMKCJvmcBO6fy\nQdTPZNkKOBjoDXxT0voRcSrwfkT0jYhvF1y7mZmZmZmZdTCealS795uYatQP2BJ4SJKALsDDueN/\nTl9vAn6XK78NICJmSfpMKhNwrqRdgIXAeunYDOA3KfPhzoh4sCSWO9LXGcCrEfFU2n8S2AiYTvbL\n/PfJPgPrpthnRsQYSYeQDRDl89fyGT+zq9ock+uve0lMytVp6hpWaMH1F15XOnZr+joZOLDg3K8C\ne0iakuJdBdgUeLCGOv8CXoyISh7e9cCPWPysi/r+NHBtynQJ6n8/jomIeQCSniK7ry8XxFzP4MGD\nF23X1dWxS/8NmjrFzMzMzMysUxo3biLjxz3a3mE0yQMvS4+A+yLi8JLjUbI9v6oNgMOBtYE+EbFQ\n0myga0T8I02p2Rs4W9L9EXF2QV+VNhdWtb8Q+ISkjYCfAttExLuShgFdAdKg0ReB94C1gFcaab+6\nj4Us/kx9TP2Mqq4AVddwlqS/AfcCV6b7MjD12+zrb+y6quJeQPFnX8C5EfGHgmON1pFUNOBU9Jzz\nfZ8F/C0iDkrnjy2oX31Oo1Pe8gMvAAvjucaqm5mZmZmZdVp1df2oq1u8Ls2QIUPbMZpyHnipXVNr\nvEwELpG0SUQ8p2x9l/Uj4h/p+KHAr4FvAo800cfqZFNTFkraFdgQQNLngDkRcaOkd4DvLmHcqwHz\ngLmSPgvsxeJf+k8CngJOBYZJ6hcRC2pos9rzwD4p7r5Aj7JriIizyKbtkOqcyJJdf2PXVYt7gSGS\nboyI9yStB3wYEW/mrrmwTjq2oaQdIuJR4FvAhCb6W53FWSxH1xjjh5JWLHgmtlzyx8DMzKy1XPfM\niHbtf/bc8YXlRQuimlnH5oGX2nXNTS8J4J6I+GXaJiLelPQd4CZJK6Xy04HKwMsakqaRrd/yzVRW\n/babyv4NwB2p/uPA06m8F3CBpIVkv+wfDyDpTOCxiBjVSJuLtiNiuqSpZGuM/Is0lSYt+noMsF1E\nvC9pfLqGM4vaKbmGipHAkZJmAI8Cz5Rcww8Kzm3W9Td1XY3FKWkb4LiIODYiRit7LfUjWeIPc4Ej\ngDdzfZTVWZiu8YSUafMk2Xoujd2jX5Otp3M6cGdJnerzrwJmSJrsdV7MzMzMzMw6Pg+81CgiupSU\n75bbHgdsX9LEBWlx1Py5x1Ttr5a+vgXsVNDGi8B9BTEMym0fk9t+gWxx1qJjZRkWX8rVOTm3XXkT\n05xG2lzUX0R8AHyt1muoup7mXn/+GRReVy5+ImIy2aK9le1jc8eGAg3y0yrPpqxOmir0cUQc2Yy+\nJ5ItyFsxMJUPB4bnztk/t30qWTaSmZmZmZmZdQJ+q1HbKMt4sGWLn7OZmZmZmZnV44yXNpDPeLBl\nU3V2kZmZmZmZmRl44MXMrEM58ZD+heXH9uxVWG5mHVv3bv2armRN6rFqw38byxYeNVtadll/g3bt\nv+hzD7AwPiwsX568MG9SC1uo5V0hHceAXg1fnDtn/vTCur/80z0NyvYf8sPCui/Ma/jOlztn+62o\nrcFTjczMzMzMzMzMWokHXszMzMzMzMzMWokHXszMzMzMzMzMWokHXszMzMzMzMzMWokHXmok6QBJ\nT0iakv57QtICSYdJGtHEud0lzSg5dqak3Von6uaRtJ+kny+FdrpLOqyR459r6p5V1R8k6aSWxpXa\nmtuCc5coDklHSRrazHPGSurb3L7MzMzMzMysY/FbjWoUEbcBt1X2JX0f+FZE3ATcVEsTJe0OWjoR\ntlxE3AHcUV0uacWIWNCMpnoA36LgvqS2XgEOWeJAW6bwOSzD/Von88+357R3CJ2M/35QpvxtOp3n\nTTDdu21fc111sjdUWMe17x5+i5xZR1f0/4eWv+lo2fCr7+zZ3iFYAf/EugQkbQYMBI7IZ7OkzIbb\nUrbCM5IG5k77hKSrJM2UdI+kldI5wyQdlLZnS1ozbW8jaWza7p/LtpksaZWCmPZMx56QNDqVbSfp\n4VT+oKRNU/kjkr6YO3espL75zIwU1+WSJgLnS1pD0q2SpqU2ezUS27nAzqnsx6nd2yWNAe6vumdb\nSno01Z0qaZOS27516vcZSd/LxX6ypEnp3EG58lslPSZpRr5+7vjaqb29mmjntNTnA8DmRYFJmi5p\ntbT9pqQj0vZwSbunautLuju1dX7u3MtSvzPy/Va1v0eK9XFJN0taueQemZmZmZmZWQfjgZdmkvQJ\n4Abg/yLi5VScz2bYDjgQ2Ao4ODddZFNgaET0BN4Bvl7QfHVWRGX/p8CAiOgLfAX4b1VMawNXAQdG\nRB/g4HRoFrBzRGwDDCIbEAH4M3BoOnddYN2ImFIQw/oR0S8iTgbOBKZExFbAacC1jcT2C2BCRPSN\niN+nen2AgyJi16p+jgcuSudvC7xUcF8AegF1wE7AQEnrStoD2DQitk/tbytp51T/6IjYjux5/FjS\nGrn79RlgFHB6RNxd1k56docAvYF9UltFHgS+LOlLwHPpPgDsCDyctrciey69gUMlrZ/Kf5n63Qqo\nk9Qz37CktYDTgd0jYltgMtk9NzMzMzMzs07AU42a72xgZkT8v5LjoyPiPwCS/gLsDNwO/DMiKuu8\nTAY2Kji3LE/6IeBCSTcAf8kN+FT0A8ZHxIsAlf6BTwPXpkyXYPHzvgW4FxhMNrBQdi235LZ3Bg5K\n7Y+VtKakbkWxSYWXMToi3ikofwQ4TdLngVsj4tmSWG6PiA+BtyT9DdiebIBjD0lTyO7dKmQDXA8C\nP5F0QDr386l8EvBJ4H7ghIiYkI5/taSd1VJM84H5kv5aEtuDQH/gBeAK4PuS1gPmRMR/0/0YExHz\nACQ9BXQHXga+qWza2ieAdYEtgZm5tvulsoeUNdQl3bNCgwcPXrRdV1fHLv03KKtqZmZmZmbWqY0b\nN5Hx4x5t7zCa5IGXZpBUR5bN0qeRamVZK/NzZQuArgXnfsziLKRFxyPifEmjyLIuHpL01Yj4e3V4\nBe2dBfwtIg6S1B0Ym9r7t6S30nShQ4HjSq7lvUauS2Wx1dDW4kYjbkrTmfYF7pR0HNlAw/dTn3sX\n9K/c/rkR8Yd6gUn9gd2AHSJivrIpW5X7+THZwNeewIRce0Xt/LjkWqo9AJwAbECWDXQg8I1c+9Dw\n+X9C0kZk2SvbRMS7kobR8HMh4L6IOLyWQPIDLwAL47kaL8HMzMzMzKxzqavrR13d4nXthgxp1jtN\n2owHXmqUpqpcAxwWEe83UnUPSZ8m+0X7AODoShM1dDMb2IYsG2XRVCRJG0fEk8CTkrYDtgDyAy8T\ngUsldY+IFyStERFvk2VsVLJjjqa+m4GfA6tFxEyaNgE4Ajg7DUC9ERHzSmJ7KfXdJEk9ImI2MFTS\nhkDviLgYuCxXB+B/JZ0LrEqWXXIK8AEwRNKNEfFeyjL5CFgdeDsNumxBljVSEcAxwP+T9POI+DXZ\n/S5q5wFgWOr3k8B+ZBkt9UTES2m6V5eIeF7Sg8DJZIMxjVkNmAfMlfRZYC/S4FjOROASSZtExHNp\nfZf1I+IfTbRtHUjZAqFz5tfyrbfsGDW7LKHNWsML8ya2dwhtKgrWMPeCu8uneR/9t+lKjRg1uuGL\nKG++cGBBTRh61wMt6mtZdvGIhgt5n3/0Xu0Qidny5Zd/uqdB2f5DftgOkVieB15qdxywDnB5Ggio\nZF38uareJOAvwPrAdRExJWWblL3VJl8+BLha0jvAuFz5TyTtSpYp8SRwN4CkKWkdlTclHQvcmqaj\nvA58DbgAGC7pdODOqn5HAr9PfTYVF2RrvFwjaRpZ9sqRjcQWwAJJTwB/At4u6QPgEEnfJhvoeAU4\np6TedLJ7shYwJCJeBV5NAyuPpGcyl2xw6B7geElPAs9Qf2pOREQoe9317ZLejYgrlC02XK+diHhC\n2WuvpwOvkT1bAFJmTkTEValoIouzlSYAvyKbglQkUiDTJU0lW4vnX1X1K3XelPQd4CZlCzIH2Zov\nHngxMzMzMzPrBDzwUqOIOA84r+Twr3PbL0XEQVXnvkC2qGpl/7e57WNy2w9S8OaciDixJKa+ue17\nyTI38scnVrU3MHfsdbIsjnz94cDw6rjS/ttkU2hqig3YvWq/shhvvfsREecD59OIiDizkWNDgaJ8\nsr0LyoiI1dLXD8kyTCrlFwMXF9T/FdkgSnX5lVX7R+W2HyH3vZW/r2l//9x2dSZSpXy33PY4sjVt\nzMzMzMzMrJPxW43MzMzMzMzMzFqJM16WourMBjMzMzMzMzNbvjnjxczMzMzMzMyslTjjxcyslb0w\nb1Jh+apdVm7jSNrXgF6HNSib8NIFLWy1/d9a01HfnNO9W7+SIw3fNNJSRW8Ugo57b9rSdc/cUlj+\n7c0PaeNIarViewdgy4gTD+nf3iG0WM+Bl7To/Dc+KP7/f60umX5NzXX37fGFwvKif59nnXJVQc0F\nNfdlZs3njBczMzMzMzMzs1bigRczMzMzMzMzs1bigRczMzMzMzMzs1bigZdmkLRA0hRJUyU9Lqls\nAn3+nLltEVsTMWwlaa926HeYpINasf3ZktZcCu3sLGlmerbrSRqxNOLLtd9f0h3NPKdV752ZmZmZ\nmZm1DS+u2zzvRURfAElfBc4D6po4p3jFwba1NbAtcHetJ0haMSI6+ipbS+veHg78KiJuTPutseJh\nR/gcLLeO7dmrQdl53NZm/XfvtmNh+Zz50xqUjRo9o7DuTXv9bKnG1B5enPdYK7Ta/v9MlS0s295e\nmDexzfoqW0S3pfembGHqsu+pjqjjLqJbpmN+npujW5dPNSib99F/az5/3z0a/j9j9tylvyi1dXwz\nh/ywQVlzFtxdp+v2BaW1L7h76GY9C8vXWmnrBmWXzbi+sO4+PTZpUPbF849tUDbrlMtrjsvMms8Z\nL82T/8lydWAOgKRVJN2fsmCmSdq/wYmN1JF0uKRHU8bF5ZKUyudKOjtl2DwsaZ1U3l3SmFQ+WtLn\nU/mwdP5jkp6WtLekLsAQ4JDU/sGSVpZ0taSJkiZL2i+df5Sk2yWNAe6v5brSebMlnS9pempz49zh\n/pIekvRsJYND0vCq679e0n6Stszdh6mSNknHb03XNEPS96qfR7ofM3Lt/VTSwLR9oqQnU3s3UkXS\nd8kGWs6SdF2+rXQ/Rkq6W9Izks4vuf5Rknqm7SmSTk/bZ6b2AVaVdIukWZKuy517Rrrm6ZKuKGm/\nr6Rx6R7cLemzRfXMzMzMzMys4/HAS/N8Kv1iPQu4Cjgrlf8XOCAitgV2A35bcO4HRXUkbQEcCuyU\nsmkWkmVgAKwCPBwRWwMTgO+n8qHAsFR+Y9qv6B4R2wH7AleSDU4MBG6OiL4RcQtwGjAmIvqlWH4j\nqfLnoT7AQRGxa43XVfF2RPQGLgV+nytfNyK+DOwHVAYurgaOTte/GrAjcCdwPHBRug/bAi+l+ken\na9oO+LGkNQr6L/sT3SnA1uleHd/gpIirgb8CP4uIbxe0tRVwMNAbOFTS+gV9PAB8JV3Lx8CXU/lX\n0jHIso5OBLYENpG0UyofGhE7pHu3sqR98g1L+gTZ8/16ugfDgF+VXKuZmZmZmZl1MJ5q1Dzv56Ya\n9QOuA3qSDWCdK2kXsoGT9SR9JiJez52rojrA7kBf4LGU6dIVeDWd82FE3JW2JwP/k7Z3BA5M29ex\neEADYARARDwr6Tlgi4Lr+Cqwn6TK3IVPAhum7dER8U7aruW6Kv6cvt4E/C5XfluKZ1a6XiLiAUmX\nSloL+AYwMiIWSnoEOC1l8NwaEc+mNn4i6YC0/XlgU2rP05wG3CjptkoszTQmIuYBSHoK6A68XFXn\nQbJBlefJBpD+Jw1kbRQR/5C0HjApIl5J7UwFNgIeBnZPz2FlYA1gZmqjYnOyz9jo9PlYAfh3WbCD\nBw9etF1XV8cu/TdYgks2MzMzMzPr+MaNm8j4cY+2dxhN8sDLEoqIiZLWlrQ2sA+wNtAnDSDMJhtA\nyTu8pI6A4RFxWkE3H+a2F7D4eTU2ATt/TI3U/XpE/CNfkAaT3qsh5qb6zW/Pr4qn4lrg28A3ge8A\nRMRNkiaSZevcJenY1NZuwA4RMV/S2IIYPgZWzO3nj+8D7ALsTzao0xO4C/gM8HhENJzkWl8+/gXA\nJ9Ig0KAU2/eAx8gydJ4DRgNrkWUnTW6inZXIMoT6RsS/JQ0quDYBM1PWUJPyAy8AC+O5Wk4zMzMz\nMzPrdOrq+lFXt/idN0OGDG2kdvvxVKPmWTRwkKYIrQC8Rbbey+tpcGJXsqyI6nPK6owBvqHF67es\nIWmDqnOrPQwclraPIJuGVHGwMpsAPYBngLnAark695JlaFSupeEKXY3HXOTQ9PWbwCMldfLXMxz4\nCRAR8XSKo0dEzI6IocDtZNN7ViebxjQ/3fOiN0m9BqyT7t1KZAM3FRtGxHjgF2T3oFtE7JmmXTU1\n6FIoIm6LiD6pjSkR8RHwL7IpSY+QZcCczOJpRmW6kg3evCWpG1n2T7Vn0rX1g2zqkaQtlyRuMzMz\nMzMza3vOeGmerpKmsHgA4ciICEk3AHdImgY8DszKnVPJ/iisk6bgnA7cJ2kFsiyXE8h+kS/LVjkR\nGCbpZOAN0nopyYtk03BWBY6LiA9TlsgvUuznkq1N83tJ08kGj/5JlhFSrfS6JN0JfDciKtOi1kj1\nPiAbfMlfe/W9ICJeT2vl3Jo7foikbwMfAa8A5wDvA8dLepJsEOKR6vYi4mNJQ8gyT16qxJnWR7k+\nrb0i4PcR8W7Bddb6CofG6k0AdksDRBOA9ak/INagnYh4R9IfgSfJrndSQZ2PJH0DGCppdbLMnouA\np2qM2YCrZha/Kajt1P7mnaK3aWRWLChr/zf62LLthXkNx9GL3hizNOzb4wsNylr6VqSO+sapjm1h\newfQYs15g5FZR1b8ViRYGB8WlptZx+WBl2aIiC4l5W8BO5UcW62GOrcAt5Sdm7ZHAiPT9otka8MU\nuT8iBlS18zZQ/S930UKzw8kyUSr7jcW8T1XRBRFxalWdY8quR9LKwBfI1oSpHD+f+uvVVOxdEsPG\nue1LgKL3+32l6NyyOCPiBbJMm6L7UfhWp3RsINkixqS1XFbMHRsPjM/tn5jbPgM4o4mYpgP9m7oO\nMzMzMzMz63g81WjZ0l5/2mtWv5J2J8vYuDgi5rZOSGZmZmZmZmbtzxkvy5DqDJM27HfjpmvVqz+G\n7K0+ZmZmZmZmZss0Z7yYmZmZmZmZmbUSZ7yYmbWyF+ZNKixftcvKzWjFC+maNZdKXw5oHUHRgspm\nZrUo+9nKrKNyxouZmZmZmZmZWSvxwIuZmZmZmZmZWSvxwIuZmZmZmZmZWSvxwMtSJmmBpCmSZki6\nWVJXSd0lzWjFPvtL2rG12l+afUpa7l4frf/f3p1H21LVBx7//gBnnHWhKyI4rUQFFBRBI/DaVtsG\nxDjF2KKI3UqjaUzAodMO7xnNSic4RBGMKGCEOEaNCiSIykOEIMggDxqNCME4YhCMQkDh/fqPqvuo\ne+7edareu8V9wPez1ln3nDq7du2pdtX53apzIlZHxKEj17kiIu43VZkkSZIkSbcOAy/L77rM3CUz\ndwR+A/zPdnlOuM1VwFPGrBARW97a22xN2Q6bZBnaZDlttu0kSZIkSRrOXzWa1hnAju3zrSLiaJpg\nxQ+A5wC/BXw6M58AEBGPBD6ZmU+IiP8L7AvcBHwpM98QEQ8A/hrYts3zj4Af0QR3boqIlwD/C/jO\nbLrM/KeIWA08Ang4cCXwkm5hI+JlwGHAeuCizDwgIvYF3gzcCbi6XefuhW3+ADgWuD/wM+DAzPxB\nRGwPfAy4B/CFme0dDjyr3d6fZeanImIvYA3wb8AOwDcz86WzDRsRDwI+CdyTZhwfnJlntlfUfAh4\nJvBj4A8y8+qIeDhwJPAA4HrglZn5zxFxHHAD8HhgYf2HtW20LXAosDvwX9s6Pjszb+6UYwvgssx8\neETcpy33qsz8ekScDryiTfrYiDitzfO9mXlEu/7ngIcAd22Xf3gh6842XgIc0vbBN4BXZ+aKBmZq\n3yS/9Z3udiuX5PbnxFPLF8c9+qKDlyy79I0fmKQM/hLM5qH0iy+H89VbtQzbbb30wsYUnXVIAAAc\nBElEQVSrb7xwkm2deMVlS5bt87BHTLItbR5Kff7qHXfd5HxLx6Jf/eY/Bq9fmoc/ufdbK6mPG5yv\n1Kd4/N97mm1d+sajC0tvW7+euN3WT1qyzF860ubMK16WXwBExFY0H9YXZtFHAUdk5g7AL4DnZ+bl\nwLURsVOb5kDgmPYWk9/LzB0y8/HAO9r33wu8OzN3A14AHJOZV9IEWd7TXmlzZildp3yPBp6WmbNB\nl8cA/4cmaLAz8Nr2rTMyc/c2OPRJ4A2VbR4BHNeW92Pt64UyH5mZj6MJhCxs7/nATu2VQc8ADo+I\nbdq3H08TaHgM8IiIKF1Z89+Af8zMXYDHAQufBO4BnNO289eA1e3yo4E/zMxdgdcD3U+sv5WZT87M\n17WvH05zRc9zgBOAr2TmTjQBmn26hcjM9cC3I+LRwO8C5wF7RMSdgYdk5vfapL/d1nM3YHXn6poD\n2zLtCrw2Iu7bzT8ifgd4EfCUtq7rmQmYzVq7dm1l+dlLll110Y8Gpz3za0tPCM4+4/8V1z/zaxcv\nXfjz6yrbOmtwua48/8pBaUvlr61fL9fSPL577hWD8y22AeU2K7Xtzf/6i+L611/+8yXLavUtbauW\nttQPpXIV25ByP9TqUCpXrc9vuOKaJctq/VCqW2lbpTaEcp/V2qtU3lqfl8pbqlepvaFch9L6tW3V\n9tNSHUrr19qgVN9aHUppa/04pg7luWp4uYa2wXKUa+gyGD7X1fIY0+djylXap2vlKrXXmLYdM1eV\n59Uxc3A5bam+pe1DeV4ptU19zCzNd8zcPmYsjhnLpbRjjk+1Y0Yp31999+pi2qHzbW1eLPfj8Hmt\n1jalfMeMmVLb1Np2zPgY2r/1fWzYOSCU23zMuB1z3NvUfWTMuUMt7dDzl9qcUkpbG7dj+mzoeWRt\nLI9pr9J+Wktbaocxx7Ly+CrvT7W22ZwYeFl+d4uI84FzaK4qWQh6XJ6ZC3vFecD27fNjgAPbKyde\nBHycJjDzHxHx4Yh4LrDwb5qnA++PiAtorh7ZOiLuXihDX7ovZOavC+s8jebqm2sAMvPadvm2EXFK\nRFwEvA54bKXeT27LDnA8TRCC9u8nOsvpLP94u62rgLU0wQdoAic/bq/quJBb2qrrXJp2eytNAGfh\n0/PNwKfa5ycAT42Ie9BcafTptk0+CGzTyevTM3n/QxtQWQdskZlfapevq5TlDGAvYE/gz4E92rqc\n20lzUmbelJlXAz/tbP+PIuJC4GyaK18eNZP3fwZ2Ac5ty/40msBQVS3wcvrabyxZdtW68uR3+sAP\nM6MCL9dcX0y7du0/DS7X98///qC0pfLX1q+Vq9Re3/1m+cBSyndTT/pv/kHtxHbpQahU1tq2amlL\n/VAqV7ENKfdDrQ7FE5dKn9/wL9cuWVbrh1LdyoGX8klOqb61sVQqbzXwUihvqV5jxkxp/dq2qh/C\nC3UorV9rg3KAo1yH0vLLKv04pg5D56rqSfDANhhfrqVjsVTWMXPVmPl6TJ+Xy1qeJ0r7dK1cpfYa\n07Zj5qrJAi+F+pa2D+V5pdQ29QDJ0nxr42NM4KWUx5ixXEo75vhUO2aU8r3uskrgZeB8W5sXS+Ud\nM69VAy+FfMeMmVLb1Np2zPgY2r+19Uv7Xm0fKbX5mHOSMftpuQ2Gb6t2zBm6j9TyHXM+UEpbG7dj\n+mzoeeSowEulDUr7aS1tMfBSPZYt7ctS29T2p9pY2Jx4q9Hyu769MmGDiAC4sbPoZppbSwA+Q3NV\nxmk0t9Vc067zJJoP3S8E/rB9HsBumfmbQv6LFvWkK/97v+4I4J2ZeVJ7G9DqSrq+W18W3uu7f6H7\n3mxbbdW2xwfbvN6amSdGxJ40V6B8JCLelZknFLaRNAHGa2b7pWO2TW4EyMyMiG4brqe8z5wBHAw8\nGHgL8AaaK2bOqNRpfVunvWgCKbtl5o3trUgL46LbZn+TmW+qlH2RNWvWsHbtWtasWcOqVavYc69t\n568kSZIkSbdBa9eezdq134A1713povTyipflVwsuFJdn5o3AKTS3vhwH0F6hcZ/M/Eea7xhZuBXp\nS9xyCxAR8bj26S+Be3WyraXr81XghQu/pNO55eVeNN8jA3BAJ/3sNs8CXtw+359bgg5f7yzv3iJz\nBvCiiNgiIh5Ic5VI9cbMzDwnM3dub206MSIeClyVmccAH6a5KgSaMf2Czva+npm/BK6IiIXldG7v\nmmfIl12cQ3NFzfr2aqILgYNobnXqc2+agNCN7S1Fuxe2+xXgBW0bERH3betetBBwWfgrSZIkSbdX\nq1btzqpVu7F6zWtZvea181dYKZnpYxkfwL8Xlm1H82W1C68Po7lqY+H1bsD3gWhfP4jmS1S/1T72\nb5ffn+a2nW8BFwNHtcsf1S47n+YWnvtV0q0GDu1s98HAiZ3XL6W5neYC4Nh22X7A92hum/kL4KuV\nbW5LEyS4EDiV5vtNoLk156w27Z9226fNb1373gvaZXvR3A61kOZ9wMsKbfqydt3zgdOBh7bLfwm8\ns33vy8D9O33wD235Lgbe3C4/FnheJ9/ZNvr30nvA24B9O++dDry9ff5i4Oc9eV4EPBS4M3AycAnw\nWZrg155tmsuB+7XPX9j2ybfafnhSZeylDx8+fPjw4cOHDx8+fNyRHysdEyg9Fj7oawVFxGHAvTJz\n9UqX5bYuIn6Zmfdc6XJIkiRJkgR+x8uKi4jP0nxZ6tNWuiy3E0YSJUmSJEmbDa94kSRJkiRJmohf\nritJkiRJkjSVlf6SGR8+fEz3AO4EvJfmS4qPAF7eee8AYO+Z9I8B/hb4K+B1nXRfBN5D8wtSD6vl\n26Y9CTgKeBPwEeA+NL+A9ROaYO/2bf7v6+S5c61cND+5fuf2+Q7An/ekPYDmZ9kBfhtYXcnjop5y\n9bYX8BDgU8CJc8q1oR3aZbsA/wLcZSbdorat9U0pjzn9sHe3HUpp22VL+qFS/sH9MKd/vkjzC25v\nmDMWu2XYr9IHDxrTBoUyvL6nvnel+bW5z9P8QtlRNGO/r66zeSwpb6lu88bBvPV72qavDUrtPbt+\nXxuU6lqrQyntBe3zrWjG9N499S3tO7W5alC5RrbDoLalfyx+cyZtrW2L+1mlrLU8anPN7Pq1OaE4\nB/bs03PbcGTbjpnX+sb4orEwZx4u7ru1Oa1Qh0VzSk/blLZfm4drY7xU39ljQ+/8VeqD2jwx248D\n5vaFebV3LBfGxwnANm17fJLmBwjmHRveVFm+35x+GDR/1Pps6HGvp20H7edjxsZGHgdm+6w0JwyZ\n2/errT9nvyvlO2gfqW2rsj+MPeaU2nHwOKB/jA4911l0rkT9/LbYjpXxVKtD9ZhRaJvqfsrScTe3\nDeb046K2KY2DeXlsbg+/40W6fXslcHJmngIQEVvOSf9M4KML6Ts+kJkntz83/h6aX92q5XtkZp7c\nLn85zS9VraeZjJ8EPJpmkvxCZp7Srvtx4PcrZfo7mp8I/xjwCpoJuM9FEfFSmp/5zkoeJ8wrV6Fe\ntGn2p2nXveeUa0M7tF4KvKWt5/Gd5bNte0BP3WbzGNq/WUn7KuCkSj/Mln9sP9Qs1PdjA9LOlgE6\nfZCZv4iIVxfqVZKd5wtl+HRtW5l5A3BwROwJ7JCZR7X577kp5S2ljYgDqI+DuevXthURM2/P/Q6s\n0rZqbVDafq0OpbTfjogn05zAnTWnDKV9pzZXjSnXoHZo23FI2/btj4vmpZ7xNXg/68njEMpzzaxS\neQ/qqcMYtXE7pG03Zp8uLSuNhdo8XEpbU6pDaU4pKW3/f1Ceh2tjvGuhvovynTN/jZknav1YMtsG\nfWO5lO/rgL8ErgT+IjN/XSjbglp/De3HMfNHbcxsjNo5SW0/35ixMaZ/Z/usNCfsz/C5vTYHjjn/\nGbqPrK1sq7a9McecUju+sVKHmjFzSt9xq3uuVDq/7aadd4yr9UNt+Zj9tDTuhrTBvPPY7rnSwZT3\nh7GfdVaMtxpJt2+PBc6NxnuA989J/2Fgj4j4UES8avbNzPw5zX8L+vJ9TUQcFRGvAU4DVgFPpvn5\n8FXAHjQBjnPbPG8GboqI2nz0WeD3IuJOND8bftmcOnwG2IfmP37FPGii9NVy9bTXYcD72gPQvHJt\naIeIuAvwAJqTrGeXCt1p26JKHnP7AVjTk3YH6v3Q7UcG1HeoV0XE12muGJpnoQw7dpZ1+6BWr0Xr\nc0sbdMvwQeBvCtt6zUza6pl/T3m7ecyWt69upXEwZv1S2loblNS2VWqDWnuV6lBK+3fA82k+QHyp\nVoaefac2V40pV02pHYa0bd9YLM1LsLRtN2Y/25DHkLmmo1TesceMmtpYGtK2Y/fp2hhfNBbmtE11\n3AysW2lOWaRn+7V5uHeML9R3Tr1K++6YeaLWjyWzbdA3lpfkm5k/ofkwfbfMPH/Otmr9VZxXCwbN\nHyP3p96ysrhth+7nY8cGjOvf2T7r3f975vYda+uPOf8Zs4/UytqTx6BjTmn5Ro6DMXNKadyWzpVq\nxxGg/xhXq8Ocuo3ZT6vjbk4bzDvmdNumtj8s13FrcgZepNuRiHhpRLw7Ih7cLroYeFI2/hi4/+wq\n3ReZ+avMfHNmvpLmsr5F6SLi/sCv5+R7ZGa+OjOPzMwraW7huVtm/pDmPw33Bi4EntjmuRXw4Mxc\nXypXZt4I/Bj4Y+DvS9WeeZ00lxoeUsujp1wXzGmvQ4BDI2LnAeXa0A40/9nahuZg8KiIeORs+Ttt\nW6tXKY+5/cAtJ1qltJdQ74du+TemH2qOBp4OPGvA+gtlWNdZtqEPeuq1aH2WnmwenZkHZeaJs2kX\n6jtHra6lPGbLW6tbbRwMXb+WttYGpTrUtlVSqmutDqW0N9Dsqz9h8X/uZstQ3Hd65qox5drw3oxS\nOwxp276xuGReKpmznw3Zx+bONR2l8s47ZpSMGUtD2nbsPl0b47Njoa9tquNmYN1Kc8psHrXtF+fh\neWO8U9++eg0tf60Nx8wJi9pgzliu5Xs5cMXMsr5jw+x8XZoXlxgxf4xt25IlbTtiPx87NmBc/86O\n29q+N29uX9ez/pjzn8H7SE9Za3kMPeaUls8bB2PG6NBzndK5Uu040neMW1CrQ1/dxuyn1XE3pw3m\nHXO6bVM7Z92Y49aK8FYj6XYkM49n8WWCHwbeGRH7ADcD35xZ5eD2vcsz850R8Rzgv9D8N+GSTrqD\nIuLpwD1pDtw/6sn31RGxL3BNZr4JuAq4uvP+d9pyvatd/wk096JXy0XzXTGnANsWqr0hLfCzth3O\njIhDaS6FXDCbR61cfe11Pc0lmR+NiL+cU64N7UBzP+6zM/PGiNgB+O/An7TpZtu21gbPLeTx1kp5\nS5fgl+rW1w+z/cic+s6Wt1YOMvOGiPhGROyTmSdV1q/dFjPbB7U+q61fW16qb02prrU8FpU3M8+r\nlKE2DoauvyRtT7paHUrbqinVtVaH2bTZPt6QmRkRL+upQ2nc/0nPXDWmXIPaobJs6D62QWVeKvkI\n5f2sNu66iu1VWb82J/TNgaV6jxlLQ9p2zD7dN8Znx0Jf25TGTa29N2o/A3avbL84D1fGeGlbffUq\nGVP+Wj/OrlPL4yOUx/KYuabUD6X+Gjznj5g/+tp2yPb62vYjzNnPab6zYujYWDC0f8fMYaU5dOj6\nfW04m++7KmlL+8inKmUtbe9SBh5zSnMVzQf5fXr2saFjtJS2Oka650qdZaXjSO0Y18271g99/TNm\nPy3N7XPbgOa7WWrHnNm2qZ2zzjtubTb8OWlJKyoiDqe5J/2ilS7LHZn9IEkry3lYNY6Nhu0guO2O\nAwMvkiRJkiRJE/E7XiRJkiRJkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmS\nJmLgRZIkSZIkaSIGXiRJkiRJkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmS\nJmLgRZIkSZIkaSIGXiRJkiRJkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmS\nJmLgRZIkSZIkaSIGXiRJkiRJkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmS\nJmLgRZIkSZIkaSIGXiRJkiRJkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmS\nJmLgRZIkSZIkaSIGXiRJkiRJkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmS\nJmLgRZIkSZIkaSIGXiRJkiRJkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmS\nJmLgRZIkSZIkaSIGXiRJkiRJkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmS\nJmLgRZIkSZIkaSIGXiRJkiRJkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmS\nJmLgRZIkSZIkaSIGXiRJkiRJkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmS\nJmLgRZIkSZIkaSIGXiRJkiRJkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmS\nJmLgRZIkSZIkaSIGXiRJkiRJkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmS\nJmLgRZIkSZIkaSJbrXQBJC2P7bffNq+88gcrXQxJkiRJWilXZub2K12IWZGZK10GScsgIjLzh8Di\nfTpZv+jVLWrLYfG8UEu3MdtZ/F7W0i2Zl7rrLON2evJYtM6S8pTLMHQ73XTdrLOnHxatM5vzgHRL\n5/r5ZVhanqHp5pdhyToD0g2t92zCWln72n79gDqsz3od1tfqMFO2Wrr1fXXolqFStqHp1vf18dB0\nlNtkSV0rdai12+A6zKwzON2AOvT1Q/e9xfWul6c3XTe/Wn8PbNNa2QbXYcn+MLAOzE+3tB/mp5sd\nf4v6bmDe9X2trzzz8xqa9/B6szhdtY83rU2XHhIq++dMgbKSx/B15q8/m0d9/dl1Kvn1zCuLy91T\nngHts3Sd+esvzaOyDovV867XYX2lSZaUZ+R2+svQU56JtrMkXWU7S483A8rQ2xGV5b2F2MS8l2Od\nakcsR3kGpFt6oN208gCceimZGWxmvNVIkiRJkiRpIgZeJEmSJEmSJmLgRZIkSZIkaSIGXiRJkiRJ\nkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmSJmLgRZIkSZIkaSIGXiRJkiRJ\nkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmSJmLgRZIkSZIkaSIGXiRJkiRJ\nkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmSJmLgRZIkSZIkaSIGXiRJkiRJ\nkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmSJmLgRZIkSZIkaSIGXiRJkiRJ\nkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZeJEmSJEmSJmLgRZIkSZIkaSIGXiRJkiRJ\nkiZi4EWSJEmSJGkiBl4kSZIkSZImYuBFkqQ7gAvO+s5KF0GSJOkOycCLJEl3ABee9c8rXQRJkqQ7\nJAMvkiRJkiRJEzHwIkmSJEmSNJHIzJUug6RlEBE/AbZZ6XJIkiRJ0gr5aWY+aKULMcvAiyRJkiRJ\n0kS81UiSJEmSJGkiBl4kSZIkSZImYuBFkiRJkiRpIgZepIlExC9nXh8QEUeMWH+7iFg3VXk6yw+K\niP3b58dFxPPa5x+KiN9Zru1LGi8i1kfERzuvt4yIn0XEF0bmc1pE7NI+PzEi7rXcZZUkSYLbzueg\nnvQbPhPNLH9CRPzVxpRhq41ZSdIgpW+uHvtt1kvSR8SWmXnzMpWHzPxgZfkrN2IbkpbXdcAOEXGX\nzLwReAbwr5uSYWbuuywlkyRJKrtNfA4anUnmecB5G7OuV7xIt7KI2DoiLo+ILdvX91x43UZRL4yI\nC4DXdNY5ICI+HxFfAb7cLjs8ItZFxLci4vfbZXtFxOntf7S/HRFHLd50vKPN/6yIeGC7cHVEHFoo\nZ/c/5M+KiPMi4oKIOHWyxpFUcjKwT/v8xcDHF96IiLtHxDERcXa7j+7XLr9rRHw8Ii6JiM8Cd+2s\nc0VE3G/2v0kRcVhEvLV9flpEvDsizm3zeGJEfCYivhMRb781Ki1Jkm5fNsPPQdtFxFfa5adGxEM6\n6zyjPQ/6dkTs09nGF9vn94iIYyPionb95/bV3cCLNJ27R8T57eMC4G0Amfkr4DRu+SD1B8Bn2ujt\nscBrMnPnQn47A8/LzP/UXvq2U2buSPMf8MMjYps23a40k9WjgUd2LpO7B3BWZj4eOAMYdEVLRDwA\nOBp4bluuF45oA0mbJoFPAC+OiLsAOwHf6Lz/JuArmbk78DSaueBuwMHAdZn5WGA18MSZPEvPZ92Y\nmbsCHwQ+3+a5I/DyiLjvplVLkiTdjt1WPgcdARzXLv9Y+3rBdu150L7AX0fEndvlC+dObwGuzcyd\n2vW/2tcgBl6k6Vyfmbu0j51pPvwsOAY4sH1+IHBsRNwbuHdmntkuP34mv1Mz8xft86fS/tc7M68C\n1tJMNADnZOaVmZltmqe2y3+dmSe3z88Dth9Yj92B0zPz++32rh24nqRlkJkX0+yvLwZOAqLz9jOB\n/92e1KwF7gw8FNgTOKFdfx3wrc463fX7LHyPzDrg4sy8KjN/DXwP2HZj6iJJku4Qbiufg57MLVcS\nHw/8bmebn2q3cRnNuc/sd18+HThy4UWnfEV+x4u0AjLzrIjYPiL2ArbIzEvbCafPdT3v9X2QWojK\n/qaz7GbG7f9DP6hJmsYXgMOBVcADOssDeH5mfrebOGLJLlvah28Ctuy8vuvM+ze2f9d3nkMzp3j+\nIEmSRtvMPgf1XfnbfS/mpJ3LK16k6cwLVhxPc0nbsbAhSnptRDylfX//nnXPAF4UEVu09yjuAZzT\nvrdre7/iFsCL2rSb4mxgj4jYDsBbDKRb1cI8cizwtsy8ZOb9U4BDNiSOeHz79GvAS9plO9DcojTr\np8ADI+K+7W1MfumuJElaDreVz0Fn0VxRvLDNbvoXRuMRwMOA78yseyqLv4vmPn0bMvAiTWdeVPRv\ngfvQfH/DglcAR0XE+X3rZ+bngItobh/4MvD69lI7gG8C7wcuAb6XmX8/sDyzabLd1r8BrwI+197O\n8InSipImsbAf/jAz3194/+3AndovdlsH/Gm7/APA1hFxCbCGZl6YzfOmNv25NAGcS2fT9JVJkiSp\n4rbyOegQ4MCIuJDmH1av7aT/Pk1A5yTgoPZ26653APdrv+T3Apqrkquiuf1J0q0tIl4APDszD1jG\nPPcCDsvM/ZYrT0mSJElaLnfEz0Heoy2tgIh4H/AsYO+VLoskSZIk3RruqJ+DvOJFkiRJkiRpIn7H\niyRJkiRJ0kQMvEiSJEmSJE3EwIskSZIkSdJEDLxIkiRJkiRNxMCLJEmSJEnSRP4/M3fKzgTnt+QA\nAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "msa_to_heatmap(msa, hydrophobicity_idx, legend_labels=hydrophobicity_labels, sequence_order=sequence_order)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Filtering alignments" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The ``TabularMSA`` object supports a variety of slicing operations, allowing users to filter sequences and/or positions from the alignment. The examples in this notebook only illustrate a couple of ways to slice a ``TabularMSA``: using a boolean vector and labels. Briefly, a boolean vector is a 1-D ``array_like`` of boolean values identifying sequences or positions to retain or discard. For more examples of supported slicing operations, see [``TabularMSA.loc``](http://scikit-bio.org/docs/0.5.0/generated/skbio.alignment.TabularMSA.loc.html) for label-based slicing and [``TabularMSA.iloc``](http://scikit-bio.org/docs/0.5.0/generated/skbio.alignment.TabularMSA.iloc.html) for index position-based slicing. In the following examples, we use [``TabularMSA.__getitem__``](http://scikit-bio.org/docs/0.5.0/generated/skbio.alignment.TabularMSA.__getitem__.html) (i.e. the ``[]`` syntax) to slice with boolean vectors. This is simply an alias for ``TabularMSA.iloc``. Slicing by a boolean vector can be performed equivalently using ``[]`` syntax (as illustrated below), ``TabularMSA.loc``, or ``TabularMSA.iloc``.\n", "\n", "Imagine you wanted to exclude the perfectly conserved and most variable positions in the alignment for a phylogenetic reconstruction process. You might want to do this because the most variable positions may be ones that are essentially unconserved, and therefore are only noise for the tree building process. The most perfectly conserved positions, on the other hand, don't contain any useful information about the relationships between the organisms, so can only increase the runtime of phylogenetic reconstruction without improving the quality of the tree.\n", "\n", "We can perform conservation-based positional filtering by making use of [``TabularMSA.conservation``](http://scikit-bio.org/docs/0.5.0/generated/skbio.alignment.TabularMSA.conservation.html), which will provide a measure of conservation for each position in the alignment. Positional conservation is discussed in more detail in [the neighbor joining recipe](./Alignments%20and%20phylogenetic%20reconstruction.ipynb).\n", "\n", "First, compute conservation for each position in the alignment:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [], "source": [ "positional_conservation = msa.conservation(metric='inverse_shannon_uncertainty', degenerate_mode='nan', gap_mode='nan')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next, use the positional conservation array to create a boolean vector indicating positions to retain or discard, and slice the second axis (positions) with the boolean vector:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "filtered_msa = msa[:, (positional_conservation >= 0.15) & (positional_conservation < 1.0)]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After this process we have only 119 positions of our original 154 positions. We can visualize this to see that we no longer have any perfectly conserved positions, and the least conserved positions have also been filtered out." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "TabularMSA[Protein]\n", "-----------------------------------------------------------------------\n", "Stats:\n", " sequence count: 43\n", " position count: 119\n", "-----------------------------------------------------------------------\n", "HTPEKSATALGNVDEVGEALGRLLVVYWQRFES ... GNVLVCVLHHFGKTPPVAYQKVVAGVANALHKH\n", "GSDGWQLLKVGEGDLPQEVLIRLFKTHELEKDK ... SEAIIHVLSKHSAGADAAMGKALELFRNDMAKK\n", "...\n", "GSDDWNHLGIAEPDLSQEVIIRLFQLHEQERAK ... CEIIVKVIEKHPSGADSAMKKALELFRNDMSKK\n", "GSDDWHHLGIAEPDLSQEVIIRLFQVHEQERAK ... CEIIVKVIEKHPSGADSAMRKALELFRNDMSKK" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "filtered_msa" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABF4AAAHJCAYAAAC8H/2jAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3Xm8XdP9//HXm8YYc3VAxQ1RVEJSIcakVFtjVY01FUW/\n5raoVisoJdWqIeZqGlOKooihpkgpkcSUUNRwpeVX1RoTJGnl8/tjr3PvzsnZ+96c3HMHeT8fD4/s\nvT9r2vvsM9xl7bUUEZiZmZmZmZmZWcdbpKsbYGZmZmZmZmb2ceWOFzMzMzMzMzOzBnHHi5mZmZmZ\nmZlZg7jjxczMzMzMzMysQdzxYmZmZmZmZmbWIO54MTMzMzMzMzNrEHe8WF0k9ZE0tRu0Y7ik77eR\nZpykQTWO7yTphPmsb5SkXee3nWZmZmZmZrZw+kRXN8B6tOjqBiyIiLgNuK2r29FRJPXo18PMzMzM\nzGxBRYS6ug3V3PFiC+ITki4DNgNeBb4OrApcCHwS+AA4JCL+JmkU8CEwEFgZOBjYH9gUmBARBwFI\n2hv4USr/jog4MR0/GDgBeBuYAsyMiKPzjZG0IXAxsCTwEnBQRLybwvtLugJYNB2fLOkAYKOIOCq1\n7z1gI+DTwAkRcVPBeQ+V9IN8OklDgeMiYqfUlguASRFxpaRmYAywHfBf4DDgTGBN4JcRcamkpYFb\ngOWBXsBPI+JWSX2AO4GH8tc5ImbVatjL710LwLk//wPH/ni3luN9em/asn3qKecy/JRjW/bXHXFo\ny/Z/7n2JT355zZb9h449vGX7F6f/nhN+slfL/nV/e7pl+46L72f7/9u6Zf/w/vsW1jdtxiMt2/PT\nzrJ8Jz44vmX76Wsms/4+G7Xsj9nu+FyZ5zH8lGNotUguNnd9J024vGX7wd88yJbf2ZK8HwzcpGX7\nF6eP4YSf7N2yH7k+yerrds4TEwvLPWPIwYVtfXNW6wCz6jJn/PfDlu2OujZ/nzGpsMwfPvhAYZl5\n1bG+K6zYsl3rmhbFxk6c0rL9rzv/xqe3W7u1jttfbs340r9hzZVbduPue1u2TznlV5xyyg9a9l+Z\n/ufC8xt6zmUt2++Ma2b5LzW17E/+YevHTvXrsNLiG7ZsV99P8FEuNve1fmtW63up+l464v47W8+1\nxrUes92JBfW1qhWrvO+r3/MAfzn2iJptAZj+3w+Aea8ZwGVPZ/dordf2M0stCcCdF9/PdrnPCoCj\nBnwr19b2v0fXHXFYy3b1eRy1/VYt29WfT6+9/0HLdnVbD12/f8t2rXMsit3e/FJhfQ+++mrL9vy8\nB5tOO6Rlu/o+bD75t7l8c1+Xt2Y91bJd/RquuPj6hfVNm9H62TQ/5172GQNw4dbb1WxL1p4BNc8B\nYO87RxSWueVqqwHzXmuAw/vvXfP8MosW1td02kHAvNca4IHvH1Lz3KH1e2t+34NvznoSmPdzBODI\n++8Cap/79n37AnDzyHv4xpHbzhXbYY3Pt2xXX+/f/631O2R+7tGzthzasl19/pX3PMz7Xir7jtz8\n3Atbtufnd8dKi2/Qsl19TZtOa/3+rH4Nx3+/9XdOrdew8p02P99n0Pr+rX2vLVKzndD6+6LWZ+XL\nb79VWF/lO7RWvnVWWB6ofV889/Y7ddVXee3n5/MAYNg52fnVei81n5zFal2zi6aOAYre1/umfPP3\nfVZRK7br0NbznZ/vgp1/e03LdvVvkqnHtP5+qP7dMXJK6+f2/Hwv5dWKVdpa+/NpY6D29T5pwhV1\nljkklTnvazFtxoTCfJXvivm91yrfr7Xuix2a1qyZr++y36I78qNGtiD6ARdExPrAO8BuwGXAkREx\nGDierCOkYvmI2BT4PnAr8KuIWA8YIGmApM8CZwHDgA2BwZJ2Tsd/AmwMbA6sU9Ce0cDxEbEh8DQw\nPBdbMiIGAkcAo3LH86NEPhMRmwM7ASNKzrsoXdmIk1dS/Q+l+ncl63Q6NcVnArtExEbA1sCvcnnX\novU6vwt8s6QeMzMzMzMz60Y84sUWxMsRUfnfHY8Da5CNyrhBUmV4V69c+spjPVOB1yPir2n/mZR3\nDWBcRLwFIOkaYCtAwAOV0SuSbiDr9GkhaVlguYh4KB0aDVyfSzIGICIelLRMSl/tjynNs5I+VXLe\n7U2Xlz/3pSPiA+ADSTNTWz4AzpS0FTAHWCVXdnPuOj9Gdp1qOvfnfwBgwoN/ZcKDf2XIluu1s3lm\nZmZmZmY9y6vT/t3yN1B35o4XWxD5x10+Inv05u2ImGci26r0c6ryziG7F/9H1slSS3ue0ytLkx+N\nImqPTplVlQZJpwM7AJE7r3nSkbU9P4JsiYKyi859H7LHswZGxJz0eNISVXkhu87VZbeoDLMr63QZ\nOmxIUXaW6rtCYWzzrdYvjPXbqKkwVlZfWcdQvfk+1X+VkjI3KYkV17f6oNULY1B+bcpiZeWWtbWs\nzEZcm3rLLIuVnXtZbOm1ViqMscJShaFhwzYtjJWd3xJrLF8YK3sdyu6nel/b8tevrL6Of8+XXbOy\n12+tks8KqP89WnYeZZ9PZW0tO8eyWFl99b4Hy+7DsutSfo/W956v9/Og3vdLWZnl3z313Utl17re\n76x6X6Oyc19n476FsbbKrfcerfd9X9aWej+DGvEa1vt91ojfFvV+f5bdF/XWV+/nQfnnVvE1q/c3\nZdm9VBaD+r8Lyn6TlP3uqPd7qd52ll3v+svs+N/p9X637rbv0Lnynn9W0WwRXcuPGtmCqO7oeA9o\nltTykJ2kAe3MCzAR2ErSipIWBfYGxgOT0vHlJH2CGo/aRMR7wFuSNk+H9kt5K/ZM7dkCeCciprfn\n3CLiJxExsKQzqXIe04D1JPWStDywTRvlV+dfDngjdbp8CehTI027lX1wDSv90lqxMFb6I25w8Ydh\nWX31trP0A31A8Qd6WZllsT6D+hTGADbfqn9JrPi6lZVb1p66O17qvDb1llkWKzv3sljvfiUdLysu\nXRgaNmyzwljpD8em+v4oqPdeK7uXGnFvl7/ni9tSds3KXr+yzwpozHmU1VnW1ro7Xkrqq/c1LLsP\n672f6n3P1/t5UG9bysqs97un3mtd73dWvZ/nZee+7sa157JoLbf4etd7j9b7vi9rS72/OxrxGtb7\nfdaI3xb1fn+W3Rf11ld3x0udn1v1vq/L7qWyGNT/XVD2m6Tsd0e930v1trPe+7Czf6fX+93aU0b4\ne8SLLYjqUSNBNnLjEkk/Ibu/fk82GW6ttHNtR8Trkk4EHkjHx6aVh5D0c7KOmbeA58jmOqn27VT3\nksDLwIG58mdKejy16cAaecva12a6iHhV0vVkc8s0kz161VZZ+dg1wG2SngImA8+2M/9cKpNozY/K\nRJq1G1dc9VHHXVtc6C/nuxkAvPZ+8Qrl+Yn6qo29p2Rl8+2KQ2/mJqGsdtP4ycUZ22hPZWLEWp6c\n8nJh7MxNjyyts0h+gsNqZddmmXv2L4w9c9pRhbHNVl21MHbOH8cVxq4bfnVhbE7t+aIBOHT9CYWx\n3octWRgr07tXcb78RIzV8hMZV7vub8XnV+bw/vuURO8sicFFU4vrzE9yXW3DAeX/t7xI2XWrTKBb\ny6Iq6z8u+39Axfnyk3DOm6s4X37C4mr5SXKrVSbxq6XsWj/46lmFscpkr7UMGbx2YSw/WXO1snu0\nz4+K3/MjDiz+sDxywEGFsS1XK75mMPeEvtUqEzHWkp/UtVrZfZifJHh+8v3nneLPoDL5Ceqr3XVE\nrZ8bmaZlis9vzHYbFsbyE81Xq0xWXMvh/TcojO3QVFxm2Xvi/OvHF8bKvkNf/df7hbH8xP3VLh33\nm8JY2ftl6V6FA4UBmDDpb4Wxsvviqr43Fsa2X6Ps/Vus7Dv76D2K75n9Pl88/V9lEtX5rW/k1l8r\njJW9TpXJqGsr/swr+4wt+8wre58t06t4JOyKixe/JyqTX9fynZLRI/mJ++dHfjLfWvKTmFcr+1zb\n+86zC2Nl9/1h6xd/lpQpu95lvx3zi2tU27Gp+Pt8bPOL7WtYN+GOF6tLREwDBuT285PBzvPrrbJq\nUUHefOw64LoaVY6JiN+kkTA30zrPyqm5vE+RTVhbXffW1cfS8dFkc8HM1Ya0X2sOmNJ0aQWmE2vk\n6ZvbbqmzOkY2P04tRdfZzMzMzMzMujk/amQ9xSmSniCbnPbliLilqxtkZmZmZmZm1haPeLEeISKO\n7+o2mJmZmZmZmc0vj3gxMzMzMzMzM2sQd7yYmZmZmZmZmTWIO17MzMzMzMzMzBrEc7yYfYy8Oav2\nsoArLV68NGWZlZeY/+Wp21K2XGDZcnn1K166sMyzP7ysNF62jG+9mqfXt1xgZ3v4tdcKY+VL4BYr\nW9q7EcqWSi/TiNehbEndsuUXF0TZUr2dr2yp6fr8/m/FS6SWXdOyZZPL3p9lypbsLFvuvl6r9y5e\n6hQu6PgKF0Cf3kMKY2Xvi7Ils8veo+c8UbzU9I7bFi/nWrakcr1GTvltYaxsefIye985ori+kqWB\nO1vZssg9yX6f36MwVrYccdky3PW6aOqYDi+zXjv/9prC2OwPRxXGypaF7mxlnzHWuXraktFlPOLF\nzMzMzMzMzKxB3PFiZmZmZmZmZtYg7ngxMzMzMzMzM2sQd7yYmZmZmZmZmTWIO17MzMzMzMzMzBrE\nHS9mZmZmZmZmZg3i5aQXApLuB86MiHtyx44B1o6II7quZY0haSdg3Yj4RVe3pRZJXwT2i4hjJQ0F\nZkfEIx1R9kqLFy+HWY//zJxUV76yJaPrteLi69eVb9qM4ktbtuzouiMOLS33L8cWv3UefPXVwljZ\nMtWLaLHC2L9nFi+D2p2ULp27fXGobJnXQ9fv2Pt6QTRiicmyJXUffq182dEtV1utrjrXP3lkYWza\nmSfUVWbZMuMjthxWV5n12nPt4s+LsnutbInfej/X6l1ivV5/n/Foh5e55x2nFcbavgc7/v/xlX12\nb3HuRYWxh449vDB25P13LVCb5lfZPVqvMdudWBi7aOrVhbFGfGcvDK56/vrC2PZrdO77vju59aB9\nCmNfu7B4Oek+vTctKfWjBWiRWffgES8Lh2uBvauO7QWMaU9mSerwFjWIpEUj4rbu2ukCEBGPRcSx\naXcYsNn85Je0aIc3yszMzMzMzBrCHS8LhxuB7SV9AkBSH+CzwBOS7pU0WdJTknauxCU9J2m0pKnA\napIukjRR0lRJwysFS2qWdIqkx1IZa6fjwyV9P5duqqTVJS0laaykJyRNkbR7vqGSlpX0Sm5/KUl/\nl7SopO+kNjwh6QZJS6Q0oyRdLOkRYISkAyRdkIvtmitvevr3M5LGS3o8tWPz6ouWyrlZ0t2SXpZ0\nhKTvpTwPS1o+pdtQ0iOSnpR0o6Tl0vFxks6S9Gi6npun40Ml3ZZeh+8Cx6YyN0/X/r5U1j2SVqs6\nxwnAiLruAjMzMzMzM+t07nhZCETE28BEYLt0aC/geuBDYJeI2AjYGvhVLttawMiI6B8R/wB+HBEb\nAxsAwyTlx8i+ERFfBC4BjitqRvr3a8BrETEwIgYAc43tjYj3yDqEhqZDOwJ3RcRHwI0RsXFEDASe\nAw7OZV01IjaNiEr9QW2V499K5Q5K5/RkQfovALsAGwNnADNSngnA/inNaOD4iNgQeBoYnsu/aERs\nAnwPOGXuU41pZNfs1xExKCL+AlwAjEplXZv28+c4JHeOZmZmZmZm1s15jpeFx+/JOlxuS/8eRNbx\ndpakLYE5wCqSPpXST4uI/AQfe0k6hOye+QywHlknA8DN6d/HgG8U1F95XGkq8EtJZwK3R8RDNdJe\nD+wJjE9tvTAdHyDpZ8DywNLAn3J5big591omAVdI6gXcEhFPFaQbFxEfAB9IegcYmzuP/pKWBZbL\nncfo1P6Km9K/jwF92tGuTWm9hlcx9+iWNs/x1FPOa9keOmwThg0rnjvCzMzMzMysJ3thUjMvTG7u\n6ma0yR0vC49bgHMkDQSWjIgnJB0ArAQMjIg5kpqBJVL69ysZJa0B/AD4YkS8J2lULh3ArPTvR7Te\nU/9j7hFVSwBExAuSBpFNs3m6pHsj4vSqtt4KnCFpBeCLwP3p+Chg54h4OrV9aC7P+9TW0o40V81i\nqR0PStoK2AEYJekcYAbZaJUAvlN1bqTjlf05uXMtmwOn1rUpUzRSB4rPscXwU45pRxVmZmZmZmY9\nX7/BTfQb3NSyf+cl47qwNcX8qNFCIiLeBx4Afkv2CAvAcmSPCc2R9CXmHpGR70xYlqxTYrqkT9P6\nyFKZV4BBAKmjpSltfxb4MCKuBc6upKnR1snAecBtEVHpjOgNvJ5GqRRPmT5vOzZK218HeqV2rE52\n7lcAVwCDIuKP6RGoQRHxeHsKT49GvZWbI2Y/spE6tdTqoJlOdn0rHqZ1IuR9gQfb0w4zMzMzMzPr\nnjziZeEyhuzRlz3T/jXAbZKeIuvoeDaXtmXkRURMkfRkiv8DeKhWuio3AvunyXkfBZ5Px/sDZ0ua\nA8wmm1wWSacCkyKi8ijPdWSP7ORHtfyUbK6aN1KZy7TRBoDLgVskPUH2aNKMdHwYcLyk/5J1fuxf\nO/tciur5NnCJpCWBl4EDC9LXyn8b8Ic0sfFR6b/fSToO+HdJWd1a2fK402ZM6MSWWE/x8ttvdXUT\neqTD++/bqfXVu5z22OYXC2OH9/cjkd3dddufXBgrW4K7Kzx/4u8KY/+eWbyUuJnZgir7rjNzx8tC\nJCJuARbN7b9J8VLGA6ryHlgrUUT0zW0/RjZJLxExE/hqjSx/B+6uUc7wqv0b821Nxy4FLq2R96Cq\n/dFkc60QEW+QzZtScWI6fiVwZa1zqlVO2u9bK5bmh9m0Rv6tc9tvAn3T9njSqJiIeIFsct+8bdo6\nRzMzMzMzM+sZ/KiRmZmZmZmZmVmDuOPFzMzMzMzMzKxB3PFiZmZmZmZmZtYg7ngxMzMzMzMzM2sQ\nd7yYmZmZmZmZmTWIVzUys0KfXGJwXfkW0eKFsaZlhhbG0mJPBRYtiRXr03vjwtibs6YWxu46ouZC\nXu0y9p7icqdt+UhdZfbutWRd+Xbctn9hbLNVV62rzHo1Ty9+fS/cervC2PT/flBXfXvecVpd9ZVZ\nptdSdeUrN6funBdNvbowVrbU9GqfXrqu+srev5utWu8ymh+VxOp73wsVxsqWLl916Ua8vp2r+y1n\nWnZ/d/z//5sTszu8zEZYeYni76aecg4Lu/0+v0dh7M1ZTxbGjt6j+HP0/OuLvyfLYiMOrO87rbOV\n/baaNqP491HZbzmznsIjXszMzMzMzMzMGsQdL2ZmZmZmZmZmDeKOFzMzMzMzMzOzBnHHi5mZmZmZ\nmZlZg7jjxczMzMzMzMysQdzxYmZmZmZmZmbWIF5OuoCkXYCbgHUi4m+S+gBjI6K/pKHAcRGxk6Sd\ngHUj4hd11LEc8K2IuLhjW1+zrs8C50VE8dp3tfNdBpwTEc/NR566r0nK/1BEbFFP3ka0J1fOcGB6\nRJwjaRRwW0TcJOly4Ffzc41yZQ4FZkdEfWsMt1s0tvgu9vNvf63Dy+zTe9PS+FuzniqMlS3hXK8Z\n//2ww8vsbLc3v1QYK1v6ePp/63t7dPZy2WV2bFqrq5vQIf49c2Jd+brT+Xen+6IRjhxwUGHsh9xZ\nV5kjp/y23uaUmjZjQgPKLP686N1ryQ6vr0xb3yM9XdmyyDeNn9yJLelZDl2/+DdC2ZLRjfitU6Zs\nyXN4usPrK3+/fNTh9XWnzwpbOHjES7G9gAeBvXPHono7Im5bgD/oVwAOn58Mkhatp6KI+Of8drqk\nfIfOb4fCAl4TOrLTpSPa047yD6mn0yUZBmw2PxnqvQfMzMzMzMys87njpQZJSwObAwczd8dLrbQH\nSLogbfeV9IikpyT9TNL0SnmS7pU0OcV2StnPBPpKelzSiJT2bElTU7o90rGhkv4s6RbgmRptaJb0\nc0lPSJooaaCkuyS9IOmwlKaPpKlpez1Jj6Z6n5S0pqSlJI1NZUyRtHtKO07SIEmLSBqVYk9JOibF\nj5b0TCrn2hrXZJSkiyVNkvScpO1zaf6Yyn9e0sm585me2z4undOTacRJ5Vz+KukySU+nc128ne3Z\nPV3fJyQ9UPCafifV+YSkGyQt0cY9ME7SoLR9cDqfCal956fjO6Zjj0m6W9LKaRTVd4Fj02uxeTq3\n+1L775G0WtV1nACMKGuPmZmZmZmZdR9+1Ki2rwN3RcSLkv4jaSDwVkn6ykiY84BfR8T1qcOjcnwm\nsEtEzJC0EjABuA04EfhCRFT+aN8VGJAeZ/oUMElSZczhwJT27wVteCUiBko6BxhFNopiKbKxgJdW\ntfO7wLkRMUbSJ4BFgR2A1yJix9SWZarK3xBYNSIGpPiy6fgPgTUi4r+5Y/m6APpExGBJawHjJK2Z\njg8GvpCuzyRJYyPi8UpeSdsC/SJiY0kCbpW0BfAPYC1gz4g4VNJ1wDeBa9vRnp8CX4mIf1bF826M\niN+kNvyMrAPuwoK0LZQ9zvWTdK1mAOOAJ1P4wYgYktIdDJwQEcdLuoT0+FKK3QqMioirJR0IXAB8\nI5WxaqUMMzMzMzMz6xk84qW2vYHfp+3rgG+1M9+mwB/S9rW54wLOlPQUcC+wSupYqbYFMAYgIt4A\nHiDrnACYWNLpAllHDsBU4NGI+CAi/gPMrNHB8AhwkqQTyDopZqV820o6U9IWETG9Ks/LQJOk8yR9\nFajEnwKulbQPxQ9gXp/O6UXgJWCddPyeiHgnImaSzadT/YjRV1KbHgceBz4P9Eux5oiYmrYfA9Zo\nZ3seAkZL+g7FHY/9lY0wmkL22n+hIF21jYEHIuLdiPgIuCEX+5ykP6Uyjyspc1PSPQBcRTbyquKG\neZObmZmZmZlZd+YRL1UkrQBsDawvKchGgwTtGPHA3KM8lNveB/gkMDAi5khqBkofX6lRxvttpJ2V\n/p2T2660aa7XOY10mQDsCNwh6dCIeCA9LrM9cLqkeyPi9FyedyRtAHwVOAzYg2wkyA7AVsDOZJ05\n69doW/V1iRrHa+0LODMiLp/rYPaITv4cP6L1epa2JyIOlzQ4nftj6Zx/RTaiqDLi53fAzhHxtKQD\ngOLZ4+alguMXAL+MiNuVTag7vCBd2Sy4bd0DnHrKeS3bQ4dtwrBhHiBjZmZmZmYfTy9MauaFyc1d\n3Yw2ueNlXrsDV0bE/1UOSBoHfI7iP6orJgC7kY3w2Ct3fDngjdTp8iWgTzo+Hcg/0vMgcKikK4GV\ngC3JRkesW//pzEUAkpoiohm4QNLqwABJzwNvRcS1kt4l61RpzZg9IjU7Im6W9Dey0RgAq0fEeEkP\nA3sCvWvUu3s6p75AE/A8MIhsNMvyZJ0ouwDfzrcT+BNwmqRrI+J9SasA/61KU620PZL6RsQkskeb\nvgZ8LiKql4DoDbwuqRdZp9mrBXVVmwT8WtlqVe+TPf40JcWWBf5f2j4gl2d6ilU8TDbi6mpgX7J7\not2Gn3LM/CQ3MzMzMzPrsfoNbqLf4KaW/TsvGdeFrSnmjpd57cm8k5feCPyIbDRJme8BV0v6MVmn\nwbvp+DXAbelRo8nAswAR8Zakv6THT+6MiB9K2pTscZk5wPER8YakeTpeJN0OHBwRr1M+SmKelZiA\nPSTtR9aJ8U/gDLLHZM6WNAeYTTYPTD7PqsAoSYukYyem+WGuTo8yiWy56vey6Vjm8ndgIlkn02ER\nMTulmUj2iNGqwFUR8US+zoi4R9I6wCMp/XSyzog5tc65ne05W1LlcaV7I2JKdTlk88BMBN4AHmXu\nzrGKWitc/T9JP0953wKeo/UeOBX4g6S3gPtpfTTqtnR8Z+Co9N/vJB0H/Bs4sEZ9dWirz7C2OdHx\nSxjvecdpdeW7aOrVhbHXP+heSy2PvWdqYWzMdicWxhbRYoWx/8yctEBtquXHv7urMPb10/oVxnqK\nh197rTD2rc8XL+c5tvnFwthea9e3VHhZmTs0df5y7w8dO18L6i2wes+/bHnRsiXWl+m1VGGs7L7Y\ncrXVCmNlTppwWV35GmFOzO7qJrRb0zLFA0qbpxcvq9tTlC1XW3buPUXZ0sfTz7mmMLbM9/cpjI04\ncLvC2HvvfNC+hn1MlX1nP33akYWxy54u/k2y47bF32mN+Cwp+0wve7/06V22tHXHK/t+KXN4/+I1\nWS6aOqYwZgsHd7xUiYhtahwbCYzM7Y8Hxqft0cDoFHotN4HqnsDaKc2bFCwZHBH7Vu2fAJxQdayl\nvtyxHXLbfXPb+fbkY28BA9KxEczbuXR3+q+6fVvndr9Y4xS2rJFnrjaQdXDU+pX/akTsWiP/srnt\nC8ge06k2IJfmV+1tT0R8s0ZZ1ekvpXVC4vzxU3PbB+W289doTET8RtmSzzcDf0xpbgVurVHmC8AG\nVYdr3YPVo3LMzMzMzMysB3DHS8f6oqSRZMML3gb8x/ICj9TocU6R9GVgceDuiLilqxtkZmZmZmZm\nXccdLx0oIh4iW0rYkqKRGjVGxXwsRMTxXd0GMzMzMzMz6z68nLSZmZmZmZmZWYO448XMzMzMzMzM\nrEHc8WJmZmZmZmZm1iCe48XMrKaP6s5ZtjzjuiMOLYw9f+LvCmOx0M1TvfAoXyaz5y+puzA4Y0jx\n+3rvO8/qxJbAwjenvdmCWXb54uXn//POrE5sidnCqWwp8Y8Tj3gxMzMzMzMzM2sQd7yYmZmZmZmZ\nmTWIO17MzMzMzMzMzBrEHS9mZmZmZmZmZg3ijhczMzMzMzMzswZxx4uZmZmZmZmZWYN4OWkz6xEO\n779PYWzajAkdXt+0GRNL48v0Kl5+cuw9Uwtjq3166brb9PFW//LdPV1b95rV1rvXkl3dBFtAc8JL\n9S6Mjt5jaGHsyAEHFcbOvvn+RjSH9975oCHldqamZYqvKRT/Jin7vcJ29benyLojDi2MPfvDi+sq\ns0/vjQtjb816uq4yzRphoR7xIulTkq6R9KKkSZL+IunrHVT2MZKW6IiyPu4kDZf0/YLYQ53dnnpJ\nOkDSZ+rIt4Gk7XL7B0i6oGNbZ2ZmZmZmZl1hoe54Af4IPBARa0XEYGAvYLV8AkmL1ln2sUDx/xL/\nmJLUofcivUNVAAAgAElEQVRURGzRkeU12LeBVecnQ7q/NgS2rwpFB7XJzMzMzMzMutBC2/EiaWtg\nVkRcXjkWEf+IiAvTiINbJN0H3CtpaUn3Spos6SlJO6cy+kh6VtLVkv4q6XpJS0o6ClgFGJfKQNJX\nJD2cyrhO0lLpeLOkn0t6QtJESQMl3SXpBUmHpjSjK3Wm/asl7SRpPUmPSnpc0pOS1qxxntunNk6S\ndJ6k29LxpSRdIWmCpMdy57S4pN9KmpKOD0vHl0ztflrSTSnfoBSbLumXkp4Ahkj6aTqXKZIuybVl\nnKRz07lOkbRRrqlfSPEX0/Wr5Jme2/5hyveEpJ+nY99JdT0h6YaiUUapjb9I7b9b0uBcfTvmXs8/\np9dosqQh6fhQSeMljZX0nKSLapT/TWAj4Or0eiyRXtsVU/yLksal7eGSrpT0IHAVcBqwR8q3e1W5\nn5T0h/Q6Pypps1rnZ2ZmZmZmZt3TQtvxAnwBeLwkPhDYNSK+BHwI7BIRGwFbA7/Kpfs8MDIi1gOm\nA/8XERcA/w8YFhHbSFoJOAnYJpXxGJB/tOaViBgIPASMAnYFNiX7gxzgCuBAAEnLptjtwHeBcyNi\nENkf/a/mT0DS4sAlwFfTiJ6VaR1JcRJwX0QMSed0tqQlgSOAORExAPgWMFrSYsDhwFsRsT7wU2BQ\nrqqlgUciYmBEPAxcEBEbpzKWkrRDLu2S6VyPSOeav47bApsAw9U60ijSuWwH7AQMTvl/keI3proG\nAs8BB1Pb0sC9qf0zgJ8B26Rr/bOU5g3gy+k12gvIP+4zOLV5XWAtSbvmC4+IG4FJwLciYlBEzGTe\nUSv5/XXJ7odvAScD16V8N1TlOQ84JyI2AXYDflNwfmZmZmZmZtYNeXLdRNJIYAtgNnAhcE9EvJvC\niwBnStoKmAOsIulTKfb3iKjM7Hk1cBRwTqXY9O8QYD3gL5IE9AIezlV/W/p3KrB0RHwAfCBppqRl\nI+LPki5MHTi7kXU2zJH0CHCSpNWAmyPixarTWgd4KSL+nvbHAIek7a8AO0k6Pu0vBqyersH5ABHx\nvKRXyDpFtgDOTcefkZSfjet/wE25/W1SuUsBKwBPk3UUVdpARDwoaZnUkQRwe0T8D3hT0r+AT5N1\nXrWUCYyKyGbii4h30vH+kk4HlifrXPkTtc2KiLvT9lRgZrqGU4E+6Xgv4FJJG5LN9Nkvl39iREwD\nkDQmXY/8OUP2eqtqv8itETG7JF7xZWDddN8A9Ja0VLpH5nHqKee1bA8dtgnDhg1pRxVmZmZmZmY9\nzwuTmnlhcnNXN6NNC3PHyzPANys7EXFkeizkMbKRCe/n0u4DfBIYmP5YbwaKJs6tNTeHgLsjomhZ\nlsq0/nNy25WyKq/RlcB+ZCMxvp3aPEbSBGBH4A5Jh0bEAzXqrkXANyPihbkOap7kou35RmZGRGVk\nyuJkHVeDIuL/SRrO3NeqaBRI/rzn0P5783fAzhHxtKQDgKHK5pmpvI63RsQpZJ1D+fIrHTghqVLX\n94DXI2JAGnHzYTvaXeZ/tI4qq75f3qd9BGwSEf9tT+LhpxzTzmLNzMzMzMx6tn6Dm+g3uKll/85L\nxnVha4ottB0vEXG/pDMkHRYRl6bDvan9B/VywBup0+VLtI6QAFhd0iYR8SjZozkPpuPvAcsCbwET\ngJGS1oyIl5TN77JqdadHG0YDE4F/RsRzAJKaIqIZuEDS6sAA4IFcnueBJkmrp1Eve+ZifwKOJhuh\ng6QNI+LJ1P59gAckrQ18LpXzl5R/vKT1gP65svK9NUuQXcM3JfUmG6GTf3ymUsYWwLsRMb1GZ09e\nJXgP8FNJ10bEh5JWiIi3yV6z1yX1Su1+NSLmkD0q1l6VOpYD/pG29wfyEytvLKlPiu8JXMq8Kq95\nRTPwRbJr/c0a6SumV+XLuxs4BvglZCsgRcRTJWUtlNY/eWRhbPo5V9ZVZp/em5bG35pV/DK8cubx\nhbGVFu9fGBs55beFsb3WLs5nZtYTTZsxoe1E1iOVLRu869CNCmMfFyod9LzwuuuIAzu8zGkzJhbG\nlunVueucXDR1TKfW1xXKPrc7+3r3NAvzHC8AuwDDJL2URo6MAn7IvKNErgEGS3oK2Bd4Nhd7HjhC\n0l/JHnepTCZ7OXCXpPsi4j9kc7SMSWU8TPb4DpSPnGiJRcQbqd78vCh7pMlinyCbs+ZKAEm3S/pM\nmmfkcOBPkiaRdQxUHp/6GdArTVY7ldb5ZC4CFpU0heyxoAPSaIuLgE9KejqlfTpXVr6d76Zzfwa4\nk6yzKG+mpMdTeQe1dd6V7Yj4E3ArMDnl/0GKn5zqeJC5X5eyMotiFwHfTtdzbeYelTIZGEl2Xi9F\nxM0Aki5XmmSYrHPskjRJ7uJk1+l8SROZe8RNtXHAerUm1yXrdNlI2aTOTwOHlZRjZmZmZmZm3cxC\nO+IFICL+BexdEB6dS/cmMM9qMmkExP8iYv8aZY8k+0O9sj8O2LhGur657dFV9bbE0iiZtUhzpKT4\nCGBEjTLzk9k+EBHrpjIuJOtAIHXKfLdG3lnU7hCZCewXEbMk9SUbgTIt5ZlrtEZEnEzWIVLL1RHx\n/ar0p1btD8htL5vb/gWtk+pWjl1Ca2dXoapyqutbNv37IrBBLvSj3Pa7EbEzVSLikNz2Tcw978tD\ntHaw5fNU1/82894bo1PsTbLHy8zMzMzMzKwHWqg7XjpIe+b6WCCStiFb2ehXETG9rfRVDklznyxG\ntopTrUdk2mMpsuWxe6X9/0uT4c6Phl8rMzMzMzMzs+7EHS8LIK1yM6DNhAtez33AGnXmPZe0GtEC\ntmEG2ZLKC1LG1gvajq4QEeOB8V3dDjMzMzMzM+t5FvY5XszMzMzMzMzMGsYdL2ZmZmZmZmZmDeKO\nFzMzMzMzMzOzBvEcL2bW4f49s3oV8QV30dRrCmPTzymOwUd11TdtxiOl8WV6LVUYW+NHZxfGVvv0\n0oWxh449vDC24uIbFMbg0cLIhEl/K4wdvcfQkjI73uH99y2J1vc6WcdbcfH1C2NvzpraiS3pXpqW\nKX6/zInZndiStszp6gb0SGPvKb63r/t10UKNcMEdf25Ecz7Wzr++eNq8VZcu/m5ddvni2MKueXp9\nUxHuuG3/Dm5Jua9dOKowdtcRxfn69J5nYdiGKq/vxU5rR3fUp/eQwthbs6YUxn78u7sKYzufduQC\ntamn8IgXMzMzMzMzM7MGcceLmZmZmZmZmVmDuOPFzMzMzMzMzKxB3PFiZmZmZmZmZtYg7ngxMzMz\nMzMzM2sQd7yYmZmZmZmZmTWIl5Pu4SR9GjgX2Ah4B/gXcGxELNBaZ5KOAS6NiJlp/0cRceaCtrcj\ndNe2Sfo68HxEPDef+foAm0XEmLQ/FDguInZqQDPnEURhbNqM+paFXnmJsmX4ipeTK7ND05qFsZMm\nXFYYO3T94qUSe/dasq62tKVsecYx251YGFtEixXGypboLluas6wtZfkOW39AYaxeF029ujB2eP+9\nO7w+q0/Z+75R75meoGy51j69N+3EllgjlH1Wjpzy205siVn3t2PTWoWxst+VZco/Rz+qq8x61fv7\n9/D++xbGyn4D9SQXTb2mMLbX2p27PHlP4xEvPd/NwP0R0S8iBgM/Aj7dnoySVBI+Flg6t//j+ps4\n/7pz20rsAnxhfjJIWhRoAr5VFarvW8vMzMzMzMy6FXe89GCSvgTMjojLK8ciYirwpKR7JU2W9JSk\nnVP6PpKekzRa0lRgNUnbSno4pb1O0tKSjgJWAe6XdJ+kM4ElJT0u6apU1s2SJkmaKuk7Be1bU9I9\nkp5M5Tel8rtD29aT9GjK96SkNdPxfXLHL650AEm6SNLEVObwGuVtCuwM/CLl7StpnKRBKb6SpOa0\nfYCkWyTdB9wLnAlsmfIdU1XuUpKukDRB0mOSOmUUjJmZmZmZmXUMP2rUs60PPFbj+IfALhExQ9JK\nwATg1hRbC9gvIial2E+AbSLiQ0knAN+LiNMlfR8YFhFvA0g6IiIG5eo4MCLekbQEMEnSjZW0OdcA\nP4+IWyUtRtbRN7ubtO27wLkRMUbSJ4BFJa0D7En22M9Hki4E9gGuBn6cylwEuC+V+XSlsIh4RNKt\nwG0RcVNqV/Xrkh/FMhDoHxHvpkeLfhARlU6oobl0JwH3RcTBkpYDJkq6NyI+rC7czMzMzMzMuh93\nvHw8LQKcKWkrYA6wiqRPpdi0iJiUtocA6wF/SSM7egEP58opfdxH0i5pezWgH9DyQKSk3sAqEXEr\nQETMTsc/0dVtSx4BTpL0OeCmiHhR0jbAILLOGgFLkM2ZA7CXpEPI3jOfSW17mvrdExHvtiPdV4Cd\nJB2f9hcDVgeer5X41FPOa9keOmwThg0bsgBNNDMzMzMz675emNTMC5Obu7oZbXLHS8/2DLBbjeP7\nAJ8EBkbEnPSIyxIp9n4unYC7I2KfdtTV0tGRRmRsDWwSEbMkjcuV35YuaVvqiBlONurkO2mkywRg\nR+B2SYelckZHxElzFS6tAfwA+GJEvCdpVDvP93+0Ps5Xnf592kfANyPihfYkHn7KMW0nMjMzMzMz\n+xjoN7iJfoObWvbvvGRcF7ammOd46cEi4n5gsfw8JpL6A32AN1LHxpfSfkuS3PYEYPPc/CZLSeqX\nYu8By+bSzlY2ESzAcsDbqWNjHbLRKdVtmwG8qmylHyQtJmnJlLfT2xYRf4yIgRExKCIel9QUEc0R\ncQHZo04DgPuA3SStnOpcQdLqqa4ZwHRlq0htV32+yfSqdjWTrTYFsHtBnkq+ZQpifwKOruxI2rCk\nHDMzMzMzM+tmPOKl5/sGcJ6kE8nmdnkFOAW4QNJTwGTg2Vz6lnlGIuI/kr4NjJG0eIr9BHgBuBy4\nS9JrEbFN2p8q6THgIOC7kp4he+TlkUqZki4HLo6Ix4H9gUslnUY2t8vuZPO+3NYVbauyh6T9gP8C\n/wTOSHO4/AS4O83lMhs4IiImSnoytfUfwEO58z0VmBQRY4HfA5crmwB4N+BXwPXpEaXbC9oBMAWY\nI+kJ4HfAk7nYz4BzJU0h65hqJpvEt6aTJlxR8/gZQw4trFylT23Vp2zZ1Xr16V382NT5148sjJUt\nJ90ofVdYsTA2bUbRLQlNywwtjDXidSqzesn1hgc6qxlmZma2ECj7fdSn98ad2JIF4UVJrZg7Xnq4\niHidbELYapsVZBlQlf8BYJ5Ps4gYCYzM7Z8InJhLsn1Bew7Jbb8IbNNd2lZVxghgRI3jNwA31Dh+\nYEE5w3PbDzPvctIb5LZPTulGA6Nz+f7HvNdpfIrNJJsI2MzMzMzMzHogP2pkZmZmZmZmZtYg7ngx\nMzMzMzMzM2sQd7yYmZmZmZmZmTWIO17MzMzMzMzMzBrEHS9mZmZmZmZmZg3iVY3MFnJRsvRdvcv3\nlS2LnBZsmm/TZkwojB29R1l9Vo+/l1zvxli0k+vreDs2rVUYG9v8Yie2xBZm02ZM7OommC30yn5b\nWW3dacno8rb4+9zq4xEvZmZmZmZmZmYN4o4XMzMzMzMzM7MGcceLmZmZmZmZmVmDuOPFzMzMzMzM\nzKxB3PFiZmZmZmZmZtYg7ngxMzMzMzMzM2sQLydtNUn6FPBrYBPgbWA28IuIuKUgfR9gbET0lzQU\nOC4iduq0Bre2Y3pELJNvT4PqGQXcFhE3VR3/LHBeROxRkrcZ+GJEvNWItlnXO//64iWzD12/Ibdk\njzdtxiNd3QQzMzPrItNmTCyMdaelpsupqxtg3ZhHvFiRPwIPRMRaETEY2AtYrY08UbDdmbq0DRHx\nz7JOl0qyTmmMmZmZmZmZdTl3vNg8JG0NzIqIyyvHIuIfEXGhpD6S/ixpcvpvSBtlDZf0/dz+VEmr\nS1pK0lhJT0iaImn3Gnn7SnpE0lOSfiZpejq+tKR7U/1PSdq5jTYcIOmC3P5tkraStIikUan+pyQd\nU5B//xR/QtLoXGiopL9IelHSriltH0lT0/Yiks5O5/ykpCMqRab4kpLukHRw2t9H0qOSHpd0saRK\nuumSTk9lPCxp5bLzNTMzMzMzs+7DjxpZLV8AHi+I/Qv4ckTMlrQWMAYYPB9lV0Z7fA14LSJ2BJC0\nTI205wG/jojrJR2WyzsT2CUiZkhaCZgA3NrOevM2BFaNiAGpDctWJ5C0HvBjYNOIeFvS8rnwZyJi\nc0nrpvorjx1V6joM6AMMiIjI5Q1gGeA64HcRcY2kdYA9gc0i4iNJFwL7AFcDSwMPR8RPJI0ADgF+\n3sb5mpmZmZmZWTfgjhdrk6SRwBbALGBb4EJJGwAfAf3mt7j071Tgl5LOBG6PiIdqpN0U+HravhY4\nO1fGmZK2AuYAq0j6VES8MZ9teRloknQecAdwd400WwM3RMTbABHxTi72x3Ts2TQnTrVtgIsjIqry\nKuX9RUSMyaUdBExKI12WAF5PsdkRcUfafgz4ctEJPfibB1u2Vx+0On0G9SlKamZmZmZm1qO9MKmZ\nFyY3d3Uz2uSOF6vlGeCblZ2IOFLSimR/9H8P+GdE7CdpUeDDNsr6H3M/0rZEKvMFSYOA7YHTJd0b\nEadX5c2PUsnPVrUP8ElgYETMSZPVLlFHG95JHUhfJRudsoek4cBtqe5LatSdN6ugfe3xF7JRP5WO\nFwGjI+KkGmln57Y/ouR9u+V3tpzPZpiZmZmZmfVM/QY30W9wU8v+nZeM68LWFPMcLzaPiLgfWDw9\n3lPRm6wzYlngn+nY/sCibRT3CtlIDlJHS1Pa/izwYURURrIMqpF3ArBb2t4rd3w54I3U6fIlssd5\nKlRj+xVgQ2U+B2yc2rASsGhE3Az8lKwj59WIGBgRgyLiMuB+YLfU8YSkFQrOs1bHyz3AYamDqjrv\nycA76ZEigPtSPStX0qa2FpVtZmZmZmZmPYBHvFiRXYBzJZ0A/Bt4HzgBeBK4UdL+wF3peJkbgf3T\nhLOPAs+n4/2BsyXNIRvR8V0ASacCkyJiLNnomqsl/Rj4E/BuynsNcJukp4DJwLO5+uZZ1Sgi/iLp\nFbKRPM+SjdwBWBUYJWmRlPbE6sZHxF8lnQGMl/Q/4AngIOadM6bWHDK/AdYGpkiaDVwOXJRr1zGS\nrpB0VkScKOmnwN2pPbOBI4B/FJRd0xlDDm5v0hbqIf06fXoXz+N8/vUjC2Nl1+TNWVMXqE1Fdty2\nc5eMPnqPoYWxl9/uGauWly0VWbbEZHcytvnFrm6CWQ9adtXMrFV3+uyq/3eHFy61Yu54sZoi4l/A\n3gXhDXLbP0rppwED0vZ4YHzankn2KE+1v1NjTpWIGJ7bfS0ihgBI2pOsE4OIeBPYrKDdy1a3J+3v\nW3AuXyw4ni/zKuCqqmMHtVVvRHwE/CD9l0/bN7d9cG77euD6onNK2zeSdWaZmZmZmZlZD+COF+vO\nvpgm9hXwNtlIEzMzMzMzM7Mewx0v1m2llY427Op2mJmZmZmZmdXLk+uamZmZmZmZmTWIO17MzMzM\nzMzMzBrEHS9mZmZmZmZmZg3iOV7MFnLxMVj6rmw5ZTMz+3gR6uommFkHK1vCubOXmi6v78VOa8fC\nok/vTUuiL3VaOxrNI17MzMzMzMzMzBrEHS9mZmZmZmZmZg3ijhczMzMzMzMzswZxx4uZmZmZmZmZ\nWYO448XMzMzMzMzMrEHc8WJmZmZmZmZm1iA9fjlpSbsANwHrRMTf2kj7o4g4sxPaND0ilimJbwCs\nEhF3dkBdWwCXALOBTSNi1gKUdQxwaUTMnM98pwLjI+L+euu2VpIeiogtOq0+L8vZ451//fjC2I7b\n9u/EltjHnT8vur+yJVnNzMy6m2kzHunqJnSKj8OIl72AB4G925H2xw1uS0W0Ed8Q2L6D6toH+HlE\nDGpPp4ukRUvCxwJLzU/lkhaJiOHdsdNFUrv+QpDUrd4HndnpYmZmZmZmZo3Vrf7gnF+SlgY2Bw4m\ndbxIGippvKSxkp6TdJEyZwJLSnpc0lUp7T6SHk3HLq78oS5puqTTJT0p6WFJK6fjfSTdl47fI2m1\ndHyNlO4pST/LtW+0pJ1z+1en/dOAPVK9u0taStIVkiZIekzSTin9ern2PSlpzarzPxjYA/hZ7pzO\nljQ1tWWP3DX5s6RbgGdSfWMlPSFpSmrDUcAqwDhJ96V8X0nnNVnSdZKWSsebJZ0laTKwm6RRknYt\neI2OkzQxtX947jo+m/I9n67LNpIeSvsbpXTDJV2Z2vC8pO+0o9zn0nWfCqwmae90jlMknZXLP13S\nLyU9AQypavOodD9MSuXtkI4vIukX6TV5UtIhues7TtIN6byuypW1fTo2SdJ5km7Lndv3c+mmSlq9\n0ra2yjUzMzMzM7OeoUd3vABfB+6KiBeB/0gamI4PBo4A1gXWAr4RET8CPkgjQ/aTtA6wJ7BZRAwC\n5pCNHgFYGng4IjYkG01zSDp+ATAqHb827QOcB1wYERsA/8y17wrgQABJywKbAmOBk4HrUltuAE4C\n7ouIIcDWwC8lLQl8Fzg3tW8j4NX8yUfEFcCtwPHpnHYFBkREf2Bb4GxJn07JBwJHRcQ6wNeA1yJi\nYEQMSNfwAuA1YFhEbCNppdSubSJiI+Ax4Pu56v8TERtFxPVFL46kbYF+EbFxqn8jZY9GAawJnB0R\nnwfWAfZOIz2OT/VW9AeGAZsBJ0v6TBvl9gNGpmvwP+CslH9DYHCuI2xp4JF0DR6u0fw+ETEY2BG4\nRNJiZB1870TEJsDGwKGS+qT0GwJHA+sBa0raTNLiZI+BfTWVtTJtj4aiKs085bYjv5mZmZmZmXUT\nPX2Ol72Bc9P2dcC3yDo2JkbENABJY4AtyOaByT96sg0wCJgkScASwOspNjsi7kjbjwFfTtubAt9I\n21cBI9L25sCuueNnAUTEnyVdmDoxdgNujIg5mvcJmK8AO0k6Pu0vBqwOPAKcpGxkzc2pg6nMFsCY\nVPcbkh4g64Sanq7J31O6qWSdO2cCt0fEQ+m4ctdoCNkf+39J16cXkO+guK6NtlTOa1tJj6dylybr\nGPkH0BwRf03pngHuy7WtT66MWyJiNvCmpPvJOjy2LCn3lYiYlPIOBsZFxFsAkq4BtiLrrPqI7J4o\ncj1ARLwo6SWyzqGvAP0l7Z7SLJvq/S/Z9f1nqudJYA3gfeCl3HUfQ2snXnvVKrdWRxEAp55yXsv2\n0GGbMGzYkKKkZmZmZmZmPdoLk5p5YXJzVzejTT2240XSCmSjQ9aXFMCiZCMFbq+RvNYoAwGjI+Kk\nGrHZue2PaL1OZaMVKrHqXpUrgf3I5qL5dkn+b0bEC1XHnpc0gWzUxR2SDo2IB0rKqJZvy/stDY14\nQdIgsnlmTpd0b0ScXiPv3RGxD7W9X31A0sbApWTX4uRUxpkRcXlVuj5Afj6aObn9Ocx9X+avuXL7\nReVWt6tonpcPI6I9r2e+XpGNGrqnqt6hzH0++XumqP7/MfeIsyUK0hWVW9PwU44pC5uZmZmZmX1s\n9BvcRL/BTS37d14yrgtbU6wnP2q0O3BlRDRFRN+I6AM0k42GGJzm+1iE7HGiB1Oe2WqdXPY+svlJ\nKvO3rCDpcylW9Mfyw7RO4rtvrtyHcserOypGk01aGxHxXDo2nWy0RMWfyB4nIbVlw/RvU0Q0p8eA\nbgEGFF8OSO3ZM81FsjLZtZhneQNJnyXreLgWOJts5A/Ae7l2TQA2V5pXRtm8MP3KKo+IienRnUER\nMTad10HK5uJB0iqV603xNa72dUmLpVFDQ4FJwN3tLHcisJWkFdPrvjfwQDvr312ZNYEm4Pl0PodL\n+kSqt5/SvDcFngeaKnO3kN2LFa+QrnvqBGvKxbxsiJmZmZmZ2cdEjx3xQvZH7IiqYzeRzYsyCRhJ\nNr/L/RHxxxS/DJgq6bE0J8pPgbtTB81ssnlh/kHxyJajgVGSjgP+TZq/haxj5VpJJ5B1kLRIj/w8\nC9ycOzwOODE9KnMm8DPgPElTyDrDXgZ2JpuAdz+yR1n+CZwBIOl24OCIeD3f1oi4WdIQ4CmykSPH\np/rXrTqP/mTzv8xJ5/1/6fjlwF2SXkvzvBwIjElzlQTwE+CFGten5vWKiHvSXDqPpMerppN1WM2p\nylM28mQKWWfJSsBp6Zxfb0+5EfG6pBNp7Wy5PXUIzVOnsiWxJ+XifyfruFkGOCwiZkv6DdmjPo+n\nx6/eAHapdeqp/pmSDgf+JGkG2X1ZqfdGYH9lkwA/StZJ09b1aM/8MN3eddufXBjb847TOrEljTP2\nnqmFsbO2HFpXmVHy8h+9R3GZL7/9Vl31NcLh/fctiX7Uae2w+pXdhwuzkyZc1tVNaNGn98Zd3YSG\n831o3Z0+5v8PbWxz8ewHOzStWRgr8/H47Pp4v+4Ah/cvehgC3po1pRNb0vP02I6XiNimxrELUufF\nDyJi5xrxHwE/yu1fT5rLoyrdsrntG8n+SCbN1VGr3lfIJn+taPnLMo2IWIs090pK/zbZXCV5361R\n7gjm7VwiInbIbR9UFfsh8MOqY+OB8bn9u8lGjVSXO5Ksw6qyP65GO4mIvlX7B1WnycUuoHUS4rwB\nuTQH5banMffInikR8e16yk3prqPGfDT51zjtD69Kcm9EHF6VJsgm/q1+PK36+h6diz0QEesCSLoQ\nmJzSzAS+WqP9LW2r8bodXSu9mZmZmZmZdV89+VGjbk/SNsBfgfMjYnpXt8farSP/V9ohypbtfobs\nMa5LO7BsMzMzMzMz6+Z67IiXItWjBLpSRNxH9miK1SEiTu2iegtH8NRR1rm0rrxlZmZmZmZmCxmP\neDEzMzMzMzMzaxB3vJiZmZmZmZmZNYg7XszMzMzMzMzMGuRjN8eLmXVvjVgy+tD1+3d4mQuibHln\nM/v4OWPIoYWxve88qxNbYvXqu8KKdeW764gD68r375kTC2MrLf7/2bvzeLum+//jrzdSQcy0SitC\no6pJSAgxVIKf1vw11FRTaYvS0q9q1ZQBrarSGkqq1TTG4htDhSCICBKJhAyEBrdRao6SUDHk8/tj\nr+RcecEAACAASURBVJPsnOx97s1Nzr03yfv5eHjcfdZae63P3udcyflk7bW2bFafi3dvgPrxn5FL\nhumzRrfwiMvXqPusxaKw+vjVd3dv1nmHbNqltO7mf0xpbjitwjNezMzMzMzMzMzqxIkXMzMzMzMz\nM7M6ceLFzMzMzMzMzKxOnHgxMzMzMzMzM6sTJ17MzMzMzMzMzOrEiRczMzMzMzMzszqpuZ20pLWA\nB8n2p/si2V5eb6XX20TEp00ZRNJ5wFsRcdmihQuSRgEnRcSkRe2rLViUeyNpZ+CDiCjfk3ARSNoE\n+L+I6L4IfewPPBMR/yioWyyfC0nLA29HxJrNPH9xxfEv4OsR8X5V+X7AJhFxcVX5IsVtZmZmZmaL\n1/RZdflqZc2wbvttatQuWdtJ10y8RMQMoDuApL7ArIi4pCUCsybZBXgbqOf/HaK5J6bEwgHAHGCB\nxMti1uw4F6PCGCLijpL2KjvHzMzMzMzMlg4L86iR5nsh/V3SOEmTJR2bK99L0nhJT0u6N3dKN0kP\nS3pB0g9T219KOil37q8l/VDScpIGSnpW0n2Shknad4GApCMkTUr//TKVLS/pWkkTU/mPUvn/Snom\nxXVtKjtP0sm5/qZKWl9SB0n3SHoq9XFAwdj7ShqTrvVeSeuk8g6S/prGfzq1W17Su7lzD5H0p4I+\nv5L6Gpfu1VfKxpK0MfB94DRJEyT1knRd/j5Jmpl+ri9pVGo3SVKvgrG7SBqb2jwtaaNU1U7SnyVN\nkXS3pM+l9j1STE9LulXSqql8lKRLJI0FzgD2BC5J/W5YPS7QQ9JoSc9LOiYXz+mSnkj9n50rz3/u\nvldwHeum/r7ZSD9905iPAJ0L4kLSKpIG5e793ql8+XSNk1O/J1ROAf43dw8r79/3JP0uHW+c+psI\n9M+NtaukByQNkfScpL/m6vqna5gk6cqiWM3MzMzMzKxtqjnjpRFHRcR/JK0EPClpCNAeuBLYISJe\nkbRGrn1nshkaawFTJQ0E/gLcBPxB0nLAQUCP9POLEbG5pC8CU4Gr8oNL2gA4L7WfCTwgaU+yGSDr\nRMQWqd1q6ZSfARtGxKe5smqV2Qd7Ag0RsWfqY9WCtiMj4u+p/njgp2SJhv7Am7nxV6/qu3qsvKuB\n70VEg6TtgT8A3yoaKyLOkPRnco/IKJfEqhrjCODvEXGRJAErFYx9InBRRNwqqR1ZEuHLwFeBQyLi\n2fQe7wfcAlyXYh2jLOl1DvDz1NdyEbFNiumrwK2V+At0AbYD1gAmSBoKbE32Xm2b4r1HUq+IGMOC\nn7v/A2alsdYD7gR+HhEjJe1R1A/ZI3P7A13JPrNPA48XxNYXGBYRx6TP8hOS7geOJ/t8dk3j5j/n\nr0VED0k/Bk5N9zX/XlwO/C4iblYu6Zd0BzYne5xvjKRt0mNkv4+I/mmsGyV9KyLuK7mfZmZmZmZm\n1oYsSuLlp5L2SccbAJsAGwIPRcQrABHxn1z7oRHxGfCWpHeAdSPiRUnvS/o6sBHwRES8J2lHsi/3\nRMRrkkYWjL8t8GBEvAvZF1JgJ+A3wKaSfg/cExH3p/ZTgBsk3QnUevQDYBJwgaRfpbiLvpR3lPRb\nYD3gc8x7lOb/Af9TaZSuZ/mS8eYNnCVoegFDUpIA5s1IKhurqcYBAyW1B+4sWR/nceCcNNPltvTe\nAEyLiGdTm/HARsrW/lkxJUIABgPX5vq6eSFiuyMiPiH7XIwEegK7AbtLmkD2nqwCbAqMofhzNxFY\nERgOHJ97v75Z0s+6wJCI+Bj4WNJdJbFVzj8jvf4c2Wd8V+B3lUZVn/Pb08/xwB4FfW4H7J2OryM3\n6wUYExFvAEh6mux3Yiywm6TTyJJEawNPAoWJlwH9L5173LvPtvTps8DkJjMzMzMzs6XCtHENTHuy\nobXDaFSzEi+SdgV2JFtg92NlC962r1SXnDY7dzwnN/Y1wDFkXzIHLmwo1QURMUNSN7IvvSdKOjAi\njiebOdKbLClypqSuwKfM/7hV+9THc5K2Jpv58mtJ90TEr6uG+gNwfkTcl+7H6TXinFM0TsG1vBUR\nPQrqmjrW3OtJM4hWSNczQlIfYC9gsKTfAB8DZ5PNxPhuRFwv6XGypMC9yh77eY3537fPmPe+lb3P\nAB/UqKuWn/lTWfNEZNc7KN+wkc/dJ2QzV77FvNkrZf38dCHi2y8i5vtNnpcXK1S5X/l7lRcRUbnm\n6o4WuNdpZs/lwJYR8bqyhYCLPj8A9Ot/Sq3YzMzMzMzMlhqde3aic89Oc18PGziiFaMp19ztpFcH\nZqQvv18nm6UA2RfePkpreUhqym4ttwH7AFtExAOp7DHg26mPL5LNZKn2RBprTUkrAIcCI5WttbJc\nRAwB+gHd0wySL0fEw2RJi7WBlYF/kj3WgqRtyB6tQdL6ZLsF3QBcTPY4U7XVgH+nvo/OlQ8HflR5\nIWmN9EV7hqRNUkJk/+rO0qyJ15TtgIMy3RoZa2aqq5h7PWSL2i6f+toQeCMi/gz8FegeEUMiontE\n9IiISZI6RcRL6bGloUBl7MLkFvCh5q0VcyRQNCupKMZq+0lqJ2ldsqRKZTbH9yStnOLfQNLalH/u\nIEvYHA1sIenUVFbWzyPA/pJWTI+d7U2x+4D8GkBbpsPhwAnpvWzq57xitKRD0vHhTWi/ElkS5p30\nyNuBCzGWmZmZmZmZtbLmPmp0N3CcpCnA82SPgBARbypbOPfONCvg32SzLKrNneUQEbOVLXD6Wq7+\nFmBnSc8C04EJwHv5cyPiVUnnMO8L/98jYpik7sA1KUkxh2zdkXbAjZI6kCWbLoqIDyTdChwhaVK6\nhhdTX1uQzXSZQzYL4XgASecDj0bEvcAAskeW3gEeJnsMiFR+paTJZDNQziFLZPwCuB94g+wxlBUL\n7sthwFWS+qeYryd77KlsrDuBW5Vt2XwS8Eeye78X2XtUmUGxK3CqpE+A98kSJdW+I+kwspkjr5Il\nrdalfNedo1Ks7YEXyGYtUdD+JuCPKRmyH1mS46OI+Euqn0KWCFkL6BsRbwHDlK0NMyZ9jt4HvkPJ\n564ybkTMkXQwMFTS+xHxZ0mbVfcTEeMk3ZHu7etkSTwAJJ2Yi+9c4Pfp86F0nfun+9wZmJTu6VVk\n6/M0ZYeiU8geeTsDKFv3BuZ9zmcoWwx6Ktnv05ga5yyzuvS9orRu5iXXltbVy0vvziitu3rK5NK6\nC7brXY9w2owrJ19fWndi18NaMBKrZdV2K5fWRR02YlPNCZRmC6rHZ6bW/7c3WKX8d2L3Pwwqrbv3\npGNK62ptkTonPi6tq23J+F267Jayf6uDC48pekp7yVOP/1e2tI4dtqtR+2KNuub6rA59lqt1fdNn\njW5Wn7X+nrOsO/Ov95bW7Xvuj0rrrpj0l9K6vTt9pbD8x00Pq0U1OfESEQNyx7OB3UvaDQOGVZWd\nU/V688pxmjWwDfOvizJH0qkpObIO2ZfNKalup1y7G4Ebq/p+iuIZKjsWxPoh2Xoi1f5dfQ2p/dm5\n49vIZutUt5lFlpSoLr+FtG5NVfk5ueMGCu5rjbGeZ97MlIptc8dnp3aDgPK/GWRtfgn8sqr4fXL3\nMiIuzB0/RbYmTXU/O1W9HkW2YGzFlbm6+T4XVef9Hvh9QVXh544scUNat+WbuX5+R249llz5eWSL\nM1eX5+P7EDiuoM2nwE8KyjfMHT9RiSMirsmVv8j8961vKn8QeDDX7sTc8RlkCzebmZmZmZnZEmZR\nFtddZJK6kP2r/80R8c+q6mHpMZAVyGZCvNPS8ZmZmZmZmZmZLYpWTbxExBRg45K6onVdzMzMzMzM\nzMyWGM1dXNfMzMzMzMzMzBrhxIuZmZmZmZmZWZ048WJmZmZmZmZmVietusaLmS17hg4v30557926\ntmAktdXeRhFmzJ7YrH6P69J2rrFtadl/B/AWxm3Hhh16tnYItoRZGrbqXZadfHDv1g6h7lr6z5hO\nq9a6p+V/72ppU0+/ukZt+XbS02eNXfzB2BJvaMMLrR3CQvGMFzMzMzMzMzOzOnHixczMzMzMzMys\nTpx4MTMzMzMzMzOrEydezMzMzMzMzMzqxIkXMzMzMzMzM7M6ceLFzMzMzMzMzKxOluntpCVtAPwB\n2BwQMBT4WUR8uhB9XA1cEhHPSTojIi5I5R2BoRHR7L1jJQ0C7oqI25rbRyP99wNmRsQl9eh/UUn6\nH+D5iHguvR4AjIyIh1ohlgZgq4iYUaPN3PffytVjy+h6bE05fdbomvWrtlt5sY+5bJvToqN5O1qz\ntq3W9rhvfeStZW3ZM+XcH7V2CIvsaxceV1o39fSrFvt4tf6sr/X3vI4dtqnR65K1hbG1Hcv6jJfb\ngNsiYlNgU2BV4Ff5BpKWr9VBRBxXSQwAZ1ZXNzewxsZdRuwHfL3yIiL6tUbSpTJ8E9pUv/9mZmZm\nZma2jFtmEy+SdgH+GxHXAkREAP8LHCvph5LulPQg8ICk3pJGSLpV0lRJ1+X6GSGph6QLgJUkTcjV\nryDpaklTJN0racV0zhaSRkt6WtIQSavn+vqdpLHAyamP3pIek/SCpANSu8GS9s3FcL2kfSQdnfob\nJul5SRfm2uwuaXwac3juVnw9jfuCpB+nth0lTc6d+1NJfdPxyZKeSf3cWHBfV5H0gKQnJU2sxJn6\nfLbkfnxf0lhJT6V73F7SdsC+wG/SPe0kaVDuHjRI6p+uaaKkTVN5P0mn5uKZLGlDSStLGprGmCTp\noILYe0samdo9J+nKfHWu3e2SxqW+v5/K5nv/JQ2QdErunPMl/bjWGJJm5o4PTDOekHRQGuspSQ9X\nx21mZmZmZmZt1zKbeCGbSTE+XxARM4HpZI9gdQcOiIidU/WWZMmQzYFNJG1fde4ZwIcR0SMijkzF\nnYHLI6IL8B5wYCq/luyRpi2BKUC/XFftImKbiPhder1eROwA7ANUEinXAMcASFoN2A64O9VtARwE\ndAMOkbSBpHWAq4H905j5pMNXgd2AbYF+uZk2ZTM8Tge2TP2cUFD/X2C/iNga2AW4OFf3lZL7MSRd\nc3fgOeB7ETEa+Hu6Tz0ioqFgrDcjYitgIHBaSbyV69gdeDUiukdEN+DekvY9gZOArwFfqSR6qhwT\nET1T21MkrVnw/v8FOApAkoBDgesbGaP6nldenwN8M92ffTEzMzMzM7MlxjK9xksJkX3hHR4R7+XK\nx0bEawCSngY2Ah5vpK+XIqIyc2Q8sFFKlKweEY+m8sHALblzbq7q4w6AiJgq6fPp+BFJf5C0NvBt\nssTFnOz7PQ9GxKwU5zNAR2AtsrVRXk7n/yfX/91pTZt3JL0BfKGRa5oI3CjpjkpsVZYDLpC0E9mi\nDetX4gYaqu9HOu4m6TxgDWAV4L5GYqi4PdfX/iVtKjNVJgO/TTNT7s7d/2pjI2I6gKSbgB3JHknL\n+4mk/dLxl8gSbPM9cB4R0yW9LWkLYD1gQkS8m96jsjFEsUeBwZJuKYhlPgP6Xzr3uHefbenTp1et\n5mZmZmZmZkusaeMamPZk0b/Rty3LcuLlWbKkxVwpKbIh8CnwQVX72bnjzyi+d9VfnKvPaV/SLq/W\nuPnzrgWOJJtJ8d2S9nNycZaNWdT+UyC/xkz73PFewE5kMy/OktQlIvKrYh4OrAN0T8mghtz5Zfdj\nELBvREyRdDTQ1JVSK/3l349PmX8mV3uAiJgmqQewJ3CepIfIEjx/JEu09QVmsqD5ZqFI6k02k2fb\niJgtaQTl7+ufyWYmrUc2A6awz9zrfPncex4RJ0rqCewNjJfUIyLeLYiVfv1PKSo2MzMzMzNb6nTu\n2YnOPTvNfT1s4IhWjKbcMvuoUUQ8SLYmxxEwdzHb35IlAf7bzG4/1vyL4i6Q7IiI94EZknZIRUcC\nI5vYf76/wcBPsi7nLu5bZgzwDWU7LSFpzUbavwGsK2nNtA7L3rm6DSNiJPALYDWgQ9W5q5M9AjRH\n0s5kM26K4s/rALwuqR1Z4qZiZhpjYfwT6AGQEi2d0vEXydb0uZHsfe4eEWPTo0c9ImJoOr9nWo9m\nOeAQYFTB9b2bki6bAfkpJdXv/x1kjzhtzfyzeLYpGeN1SV9N5XNn8EjaOCLGRUQ/4E3gywt5T8zM\nzMzMzKyVLMszXiD7cnuVsoVjRbZOypnAdxo5L0qOrwYmSxoPnE35OinfBQZKWgl4ibReS0H70tcR\n8aakqcx73KY0zoh4W9JxwO1pvZE3gW/VaP+ppHOBccArwFQASSsA16eZQQIujYj3JW0FHB8RxwE3\nAHdJmgg8WTm35Hoq+pI9qvMm8ATZ7lIAfwP+pGzR329Tft/zhgBHKVsc+Ang+VTeFbhI0hzgY+CH\nJec/CVxBth7NQxFReZyqMt69wAnpMa7ngfxedHPf/4g4MiI+STNi3k2LNzc2xhlkn8E3U5tKUusi\nSZ3T8QMRMakkdjMzsyXG3Q0vltbt1am0ig7tVqpDNNZSLrul/N8bLzxmjxaMpH5qbWPcXF36XlFa\n98HvmjpZfMlUa3vn6bPKt5dXzYcMWtbenb5SWlePz4u1Pct04iUiXqV4sdLB6b9Ku5HkZqVExMm5\n411yx2eQfXmu6Jaruzh3PJFsQdzqeHapen1s1eu5sz8krUz2xf2mXH113Pvmju+jau2UiBhQ9Tof\n7xVkyYFq3yiIezxwXDp+B9i+uk1Sdj8Gki2QW93v4+S2kwaOzdVtXDX+Lun4I4qTSi8D95fElfde\n/r4VjUf2uNICqt//NHOlF1WPtNUYYwhZ4qi6/MDqMjMzMzMzM1syLLOPGi3JJO1KtkbNZWknJmtj\nJH0NmEa2SHP5P+mZmZmZmZnZUm2ZnvGypErr02zU2nEsbapnNi1iX1OBTeo5hpmZmZmZmbV9nvFi\nZmZmZmZmZlYnTryYmZmZmZmZmdWJEy9mZmZmZmZmZnXiNV7MbIkwfdaY1g6hVbWlLRHrodZ2kMuy\nocMn16z/xjFfaqFIzBa/vTotsBRaq6n1u+bfM2vrGmYuDcsHLl+j7rPFPtrVU8p/53/Zq3z7arPm\n8owXMzMzMzMzM7M6ceLFzMzMzMzMzKxOnHgxMzMzMzMzM6sTJ17MzMzMzMzMzOrEiRczMzMzMzMz\nszpx4sXMzMzMzMzMrE68nXQLkvQZMBH4HPAJcF1EXJLqtgKOjIifFJzXAGwVETNq9N3sNpL2Ab4W\nEb9pxmVV+vgicGlEHLyQ510NXBIRz9VoczzwQURc39z4zJZ0QbR2CHXVsUP51o1taavptVbsVqO2\n9tbPVqzW+9uxw3YtGMnS7+SDe7d2CGZmJRb/ltG1HNel62Lv88Suh5fWXTn5htK6vTptsthjqZda\n13Hopov/ni5NnHhpWR9ERA8ASesAN0laLSL6R8R4YHzJeU35xtXsNhFxF3BXE84v7zjiNWCBpIuk\n5SOi9P+kEXFcE/r+46LEZmZmZmZmZtZa/KhRK4mIt4HjgB8BSOot6a50vJak+yRNlvQnQJXzJB0u\n6QlJEyRdJalSp1TfUdJUSddLelbSLZLa59qcLGm8pImSNk3nHC3p8nR8UBr3KUkPV8ct6QJJJ+Ze\n95N0ahp3cq6/OyU9CDygzJUpnvsk3S3pgNR2hKRKMmqmpPMlPS3pcUnr5sdIx9+XNDbFd2vl2iQN\nknSppMckvZDrfxVJD0h6Ml3zvkXvh6Q1Jd2e2jwuqUtu7GtT2fOSvp8756J0ryZKOjiVrSdpZHp/\nJknaQdJyKb5Jqe0pBde+dpqRVLl/t0u6X9JLkk6S9L+pz8clrVH702VmZmZmZmZthRMvrSgiGoDl\nKgkG5s1I6QeMioiuwO3AhgCSNgMOAbZPM2fmAEVz2r4KXBERmwMzgRNzdW9GxFbAQOC0fDjp5znA\nNyOiO1CUpLiZ+We2HAz8raoPgO7AARGxM3AAsGGK5yigbO74KsDjEbElMAr4QUGbIRGxTYrvOeB7\nubr1ImIHYB/gwlT2EbBfRGwN7AJcXDL2AGBCRGwBnAVcl6vrCvQBtgf6puTKAUC39B7tBlwk6QvA\nd4B70/uzBfA0sCWwQUR0S/0PKokhf/++DuwHbAP8EpiV+hxDdg/NzMzMzMxsCeBHjVqfCsp2AvYH\niIh7JL2byncFegDj0kyX9sDrBee/HBFj0vH1wI+BS9Lr29PP8ZUxqjwKDJZ0C3BbdWVEPC1pXUnr\nAZ8HZkTEvyV1rGo6PCLeS8c7Arem89+QNKJgXIDZEXFPLr7/V9Cmm6TzgDXIEjX35eruSGNMlfT5\nVCbgAkk7kSWq1pf0+Yh4s6rfHckSRETEiDTrqEOquzMiPgbekfQQsG1qf1Nq/2aaHdQTGAf8RVK7\ndN5ESS8BnSRdCtwD3F9y/XkjIuJD4ENJ/wGGpvLJZImgQgP6Xzr3uHefbenTp1cThjIzMzMzM1vy\nTBvXwLQnG1o7jEY58dKKJG0MfBoRb817Yqi4ae7n4Ig4ayGHys+kmJ1+fkbB+x8RJ0rqCewNjJfU\nIyLerWp2K3AQsB7ZDJgiHyxkjJAtOFxRGB/ZbJF9I2KKpKOB/EqBs3PHlXt2OLAO0D0i5qTHedqn\nx6V+QHZv9mokrvz9E1kCp5oAImKUpG+kPv8q6eKIuF7SFsC3gBPI7t33gU+ZN+usfVV/+WuJ3Os5\n1Pi97df/lEYuxczMzMzMbOnQuWcnOvfsNPf1sIFl/8bfuvyoUcvKr9WyLnAVcHlBu0dIjxBJ2oNs\ndgfAg8C3c2ufrClpw4LzN5S0bTr+DtljO00LUNo4IsZFRD/gTeDLBc1uAQ4FDiTNZGnEY8CBaa2X\nL5A9tlM4fBP66gC8nmaUlC8dPq+v1cker5ojaWegI0BEXBkR3SOiR1oY+BHgCABJfYC3I2JW6uN/\nJH1O0tpkiZ5xZPf0kLR+y7rAN4Cx6f14MyKuAf4M9JC0FrB8RNwOnE02awngn8DW6figJly7mZmZ\nmZmZLWE846VltZc0gXnbSV8bEb8raDeAbMejQ4HHgZdh7iM0ZwP3S1oO+Bg4KdXnZ2U8D5wkaRDw\nDNl6LtC0nY8uktQ5HT8QEZOUbRX9p4jYO8XxrKRVgVci4o0m9DmEbH2VZ4B/kT1GVHkMKR9TU+Lr\nC4wlSwo9Aaxacm7l9Q3AXZImAk8CU0v6HUD2iNBEstk6+XVUJgEPA2sD50bE68DtknqRbQ8+B/hZ\neuToKOBnkj4hW1/nKOBLwKD0ngXwi9Tvb4FbJP0AuLvGNS/d+wg3UccOtR6balvb+A4dXh7P05Ne\nKq17/hfe6rWtmzF7UouOt/du3prRFp/LbhlZWnfhMXu0YCSZTquW/z+vYWZ5rM21bvvybev9u9Zy\nlvVtza+esvj/zlLrd6mt/R1p6VY0KX7pUmvL7Jb+O9KSxomXFhQR7WrUjQRGpuMZZI+lFLW7lYJZ\nJhGxMUBKiHwaEQsswFppk47HkyVDiIjBwOB0fGDBea+RPXqUL+tW9Xo60K26v/Q6JP0sIj5Isz+e\nIP0pEBG75NqtljseQpawISIG5MoHMi+RlB//2KrXq6Wf75AtiltTepyqaM0bgEkR8d2Cc04HTq8q\nuxa4tqCPrQrOf55sAd6Kvqm8+v7l37f56szMzMzMzKxtc+Jl6dQWZ0gMTdsgtyObNVK9uK2ZmZmZ\nmZnZUseJl6VMfuZJW5K2lV7i5GfbmJmZmZmZmS0sL65rZmZmZmZmZlYnTryYmZmZmZmZmdWJEy9m\nZmZmZmZmZnXiNV7MzGwBG9bcvvvhlgrDrFmiTa4xb9XqsWV0LW99NLZFx7Nll1Bp3XFdyrcur7Xl\ne61tuOvxu3Tl5OsXe59Luysn39TaIbRZv/ru7q0dQqvzjBczMzMzMzMzszpx4sXMzMzMzMzMrE6c\neDEzMzMzMzMzqxMnXszMzMzMzMzM6sSJFzMzMzMzMzOzOnHixczMzMzMzMysTryddAuTNAe4PiKO\nSq+XB14HRkfEvq0aXB1JOhk4ARgfEUe2wvhHA1tHxI+bUm5LllrbL/6y1/daMBIzM2uqTqu27Pa4\nZkV69dy0tG7o8MktGImZLc2ceGl5HwBdJK0YEbOB3YB/LY6OJS0XEXMWR1/NGHv5iPisRpMfArtG\nxL9bcMxqsZDlLaYZ12JmZmZmZmZLAD9q1DruAfZKx4cBN1UqJPWU9Lik8ZIeldQ5lS8n6SJJkyU9\nLemkVN4g6deSngS+LWkLSaNTmyGSVk/tRkj6vaSnJE2StHUq7yfp1Nz4kyVtKGllSUNz7Q+qvghJ\ngyRdJWk0cGGNvq4CNgaGSTplEcfsLekRSXcCz6SywyU9IWlCikep/BhJz0saA+zQ2JsiaS9Jj0la\nS9Leksak9+F+Sevm7tc16X6+IOnHufPPkfRciu/GyjVK+r6ksem6bpXUvur+jUn3b01Jt0uamD4D\nXVO7wnIzMzMzMzNr+5x4aXkB/A04TNKKQDfgiVz9VGDHiNgK6AdckMqPBzoC3SJiS+CG3DlvR8TW\nEXELcC3ws9RmSuqjYqWI6A6cBAyqER/A7sCrEdE9IroB95a03yAitouI08r6iogfAq8CfSLi0sUw\nZnfgxxGxmaTNgEOA7SOiBzAHOFzSekB/YDtgR2Dzkr4AkLQf8HNgj4iYAYyKiF7pfbg51VV8lWym\n0rZAP0nLS+oJ7A90BfYEts61HxIR26R7/xyQf/ZlgzTOacAAYEJEbAGcRfZeUqPczMzMzMzM2jg/\natQKImKKpI3IZrvcDShXvQZwbZrpEsx7j3YFroqISjLjP7lzbgaQtBqwekQ8msoHA7fk2t2Uzh0l\nadXUvlollsnAbyVdANyd67ParTUuVVXHaqRdU8ccGxEvp+NdgR7AuDTTpT3wBllSZERKoiDpZqBz\nSX+7kiVKvhkRs1LZlyXdAnwRaAc05NrfHRGfAu9IegP4ArA9cGdEfAJ8IumuXPtuks4je29XAe7L\n1eXv347AAQARMSLNvFm1pLxDLta5BvSfl9fq3Wdb+vTpVXLJZmZmZmZmS7Zp4xqY9mRD4w1bwLpC\nogAAIABJREFUmRMvrefvwEVAH2CdXPl5wEMRcYCkjsCIJvT1QRPHrF7LJIBPmX/mU3uAiJgmqQfZ\n7I3zJT0QEec3MnZhXwWaMuZ5kh4iS1L8McXaF5hZNaaAwRFxVn4ASf9DeaKn2otAJ7KZLONT2eXA\nbyPibkm9mX/m0Ozc8Wc0/ns0CNg3JdyOBvKrCeavpWitmaKy0uvq1/+URkIxMzMzMzNbOnTu2YnO\nPTvNfT1sYFO+Prc8P2rU8ipfmv8CDIiIZ6rqVyd7LAfgmFz5cOB4ZbsgIWnN6o4j4n3gXUmV9UyO\nBPLbAhySzt0ReC8iZgL/JJsxQkp6dErHXwT+GxE3kiWIejTh2gr7amq7qjF/C3SPiLHp0aMeETG0\noK8Hyda2qazBsqakDcke39opvW4HLLBeTFU8B5LNNPpaKlsNqCwEfHSNcyvv52PAPpJWlNQB2DvX\npgPweorj8Bp9jQKOSNfRh+wRslkF5W8VzXYxMzMzMzOztsczXlpe5VGhV4ErCup/AwyWdDbZY0gV\nfwY2BSZJ+hj4E3AlC86IOBr4o6SVgJeYP3nzkaQJZO/7salsCHCUpMlkyYrnU3lX4CJl219/TLYV\nNJIGAONSEqR67LK+qGrb1DF/WHB/5hMRU9O9ul/Scum8kyJirKT+wBjgXeDpyjmS9gG2ioj+uX7+\nIelw4NZUPwD4P0kzgIeAjcpCSOc/KenvwESyR50mAe+lNn2BscCb6XpXLbgnpDH/Imki2UyYSsKn\nf0m5mZmZmS2CMeP+0dohNMllt5RvsX5cl/J9F2rV/WKUt203aylOvLSwiFhgXZWIGEmamRIRY8ge\neanom8o/A36a/sufu3HV60lkC8oWuT4iTq1q/xHwrYK2LwP3F8TaL3d8bFVdWV/zxbmwY1b1M/de\n5cpupWCtmYgYTLbOTXX5XcBd1W0i4mmgS2rWQPY4WPW5A6ped8u9vDgizk1Jr0dIjy1FxEBgYEFf\n1ffvXbIFeqvbFZabmZmZmZlZ2+fEy7KjaK0QW7yulrQ5sCLw15TIMTMzMzMzs2WYEy/LiIjYpbVj\nWNpFRK31W8zMzMzMzGwZ5MV1zczMzMzMzMzqxIkXMzMzMzMzM7M6ceLFzMzMzMzMzKxOnHgxMzMz\nMzMzM6sTL65rZku8kw/u3dohLHVenjWmtUMwazah1g7BmqBh5sjWDmGuocMnl9Z945gvtWAk1tJ6\n9dy0tK7W56KWqLGZaMcO29U484pmjddp1fK/B50xunl9ntj1iNK6Kydf36w+l3Yndi3fZ+PKyTe0\nYCTWFnnGi5mZmZmZmZlZnTjxYmZmZmZmZmZWJ068mJmZmZmZmZnViRMvZmZmZmZmZmZ14sSLmZmZ\nmZmZmVmdOPHSRJI+kzRB0lPp589T+QhJPZrZ5yBJByzeSOtD0lBJq7V2HEUkXS1pszqPMXMRzm2Q\ntNZiiuOMxdGPmZmZmZmZtQxvJ910H0REsxIsS4OI2Lu1YygTEce1xDCtdG61M4ELFmN/ZmZmZsus\nMeP+0dohmC0xam2LfeimXZvVZ60t1k/s2qtZsbRFnvHSdGq0gbSbpMclPSnpZkkrp/IGSRdKmiRp\njKSNc6f1lvSYpBcqs18krSLpgdTPREn7pvKV08yTp1JfBxXEMEjSlZJGpz57S7pG0rOS/pJrd6Wk\nsZImS+qXylaT9Jykzun1jZK+l7uGtSR1lDQ1jfO8pOsl7Srp0fR669S+n6RTc+NNlrRhE69hoa4/\nP+uo6Lpy8feXND71uWnJe3haOv/p/PmNtcndl+vTvb5FUvvKKcDJ1WNL6pk+L+PT/avc96MlDZE0\nLN3TX6fyC4CV0oyr64piMzMzMzMzs7bFiZemq3zhrTxqNF/CQNLawNnArhGxNTAeODXX5N2I6Ab8\nAbg0V75eROwA7ANcmMo+AvZL/ewCXJzKdwdejYjuqa97S2JdIyK2S+P/Hbg4IjYHuknqltqcGRHb\nAFsAfSR1iYj3gZOAwZIOSf1ck9rnZ21sAlwUEV8FNgMOi4gdgZ8BZ5XEVDm/Kdfw30W4/gWuK1f3\nZkRsBQxMsc5H0m5A53R+d2BrSTsuRJuvAlekez0TOLGRsacCO6byfsw/k2UL4CCgG3CopA0i4gzg\nw4joERFHFly7mZmZmZmZtTF+1KjpPmzkUaNewObAY5IEtAMez9X/Lf28CbgkV34HQERMlfT5VCbg\nAkk7AXOA9VPdZOC3aebD3RHxaEksd6Wfk4HXI+LZ9PoZYCNgEtmX+R+QfQbWS7FPiYgHJR1MliDK\nzxfLz/hpqOrzwdx4HUtiUq5NY9ew3CJcf+F1pbrb08/xwP4F534T2E3ShBTvKkBn4NEmtPkX8HJE\njEntrgd+zLz3umjsNYBr00yXYP7fxwcjYhaApGfJ7uurBTHPZ0D/eTm93n22pU+f8ul5ZmZmZmZm\nS7Jp4xqY9mRDa4fRKCdeFh8B90fE4SX1UXI8u6oPgMOBdYDuETFHUgPQPiKmpUdq9gTOl/RARJxf\nMFalzzlV/c8BVpC0EfBTYKuIeF/SIKA9QEoafQ34AFgbeK1G/9VjzGHeZ+pT5p9R1R6g6hrOk/QQ\ncB/wx3Rf+qZxF/r6a11XVdyfUfzZF3BBRPypoK5mG0lFCaei9zk/9nnAQxFxQDp/REH76nNqPvLW\nr/8ptarNzMzMzMyWGp17dqJzz05zXw8bOKJG69bjR42arrE1XsYAO0jaBOauR9I5V39I+nkoMLqR\nMVYnezRljqSdgQ1Tn18E/hsRNwIXAU1Z7Lco7tWAWcBMSV8A9sjVnQo8C3wHGCRp+Sb2We2flfhS\nsqRTwTX8liy5MjY9PtQjIobS/OuvdV1NcR9wrKRV0njrS1qn6pprtdlQ0rbp+DvAqEbGW515s1iO\naWKMH5e8J2ZmZmZmZtYGecZL07XPPV4SwL0RcWY6JiLelvRd4CZJK6bys4Fp6fw1JU0kW7/l0FRW\nvdtN5fUNwF2p/ZPAc6m8K3CRpDnAx8AJAJIGAONS0qKsz7nHETFJ0tNka4z8i/QoTVr09VigZ0R8\nKGlkuoYBRf2UXEPFEOAoSZOBJ4DnS67hhwXnLtT1N3ZdteKUtBVwfEQcFxHDlW1LPTqb+MNM4Ajg\n7dwYZW3mpGs8Kc20eYZsPZda9+g3ZOvpnA3cXdKm+vyrgcmSxnudFzMzMzMzs7bPiZcmioh2JeW7\n5I4fBrYp6eKitDhq/txjq16vln6+A2xf0MfLwP0FMfTLHR+bO55OtjhrUV3ZDIuv59qcljuu7MQ0\no0afc8eLiI+AbzX1GqquZ2GvP/8eFF5XLn4iYjzZor2V4+NydZcDlxecv1qtNulRoU8j4qiFGHsM\n2YK8FX1T+WBgcO6cfXPHZwDzfY7MzMzMbMlw3fO3tHYIZtYK/KhRyyib8WBLF7/PZmZmZmZmNh/P\neGkB+RkPtnSqnl1kZmZmZmZmBp7xYmZmZmZmZmZWN068mJmZmZmZmZnViRMvZmZmZmZmZmZ14sSL\nmZmZmZmZmVmdeHFdM7PF7OSDe5fWHdelawtGYmbWdnVatfz/lQ0zR7ZgJGYtZ6cNvtzaIVgjps8a\n28wztVjjaItO7Hp4ad2M2ZNK6878672ldfue+5XSursbXmxaYEsAz3gxMzMzMzMzM6sTJ17MzMzM\nzMzMzOrEiRczMzMzMzMzszpx4sXMzMzMzMzMrE6ceDEzMzMzMzMzqxMnXppI0n6SnpI0If33lKTP\nJB0m6ZZGzu0oaXJJ3QBJu9Qn6oUjaR9JP18M/XSUdFiN+i82ds+q2veTdOqixpX6mrkI5zYrDklH\nS7p8Ic8ZIanHwo5lZmZmZmZmbYu3k26iiLgDuKPyWtIPgO9ExE3ATU3poqTffosnwkUXEXcBd1WX\nS1o+Ij5biK46Ad+h4L6kvl4DDm52oIum8H1Yise1VvDSuzNaO4Ql0LL77wAdO/SqUbv0b6nbscM2\nzTpPy8C2ndZy9t6ta2uHYGZtRO0/l15osTiWJr/67u6tHUKrW3b/prsIJG0K9AWOyM9mSTMb7kiz\nFZ6X1Dd32gqSrpY0RdK9klZM5wySdEA6bpC0VjreStKIdNw7N9tmvKRVCmLaPdU9JWl4Kusp6fFU\n/qikzql8tKSv5c4dIalHfmZGiusqSWOACyWtKel2SRNTn11rxHYBsGMqOyX1e6ekB4EHqu7Z5pKe\nSG2flrRJyW3fMo37vKTv52I/TdLYdG6/XPntksZJmpxvn6tfJ/W3RyP9nJXGfAT4alFgkiZJWi0d\nvy3piHQ8WNKuqdkGkoalvi7MnXtlGndyftyq/ndLsT4p6WZJK5fcIzMzMzMzM2tjnHhZSJJWAG4A\n/jciXk3F+dkMPYH9gS2Ag3KPi3QGLo+ILsB7wIEF3VfPiqi8/ilwYkT0AL4B/LcqpnWAq4H9I6I7\ncFCqmgrsGBFbAf3IEiIAfwMOSeeuB6wXERMKYtggInpFxGnAAGBCRGwBnAVcWyO2XwCjIqJHRFya\n2nUHDoiInavGOQH4fTp/a+CVgvsC0BXoA2wP9JW0nqTdgM4RsU3qf2tJO6b2x0RET7L34xRJa+bu\n1+eBocDZETGsrJ/03h0MdAP2Sn0VeRTYQdLXgRfTfQDYDng8HW9B9r50Aw6RtEEqPzONuwXQR1KX\nfMeS1gbOBnaNiK2B8WT33MzMzMzMzJYAftRo4Z0PTImI/yupHx4R/wGQdBuwI3An8FJEVNZ5GQ9s\nVHBu2bzpx4DfSboBuC2X8KnoBYyMiJcBKuMDawDXppkuwbz3+1bgPqA/WWKh7FpuzR3vCByQ+h8h\naS1JHYpikwovY3hEvFdQPho4S9KXgNsjomz+3p0R8THwjqSHgG3IEhy7SZpAdu9WIUtwPQr8RNJ+\n6dwvpfKxwOeAB4CTImJUqv9mST+rpZhmA7Ml/b0ktkeB3sB0YCDwA0nrAzMi4r/pfjwYEbMAJD0L\ndAReBQ5V9tjaCsB6wObAlFzfvVLZY8o6apfumZmZmZmZmS0BnHhZCJL6kM1m6V6jWdmsldm5ss+A\n9gXnfsq8WUhz6yPiQklDyWZdPCbpmxHxj+rwCvo7D3goIg6Q1BEYkfr7t6R30uNChwDHl1zLBzWu\nS2WxNaGveZ1G3JQeZ9obuFvS8WSJhh+kMfcsGF+51xdExJ/mC0zqDewCbBsRs5U9slW5n5+SJb52\nB0bl+ivq55SSa6n2CHAS8GWy2UD7A9/O9Q8Lvv8rSNqIbPbKVhHxvqRBLPi5EHB/RBzelEAG9L90\n7nHvPtvSp0+ttSPMzMzMzMyWXNPGNTDtyYbWDqNRTrw0UXpU5S/AYRHxYY2mu0lag+yL9n7AMZUu\nmjBMA7AV2WyUuY8iSdo4Ip4BnpHUE9gMyCdexgB/kNQxIqZLWjMi3iWbsVGZHXMM87sZ+DmwWkRM\noXGjgCOA81MC6q2ImFUS2ytp7EZJ6hQRDcDlkjYEukXEZcCVuTYA/yPpAmBVstklpwMfAedKujEi\nPkizTD4BVgfeTUmXzchmjVQEcCzwf5J+HhG/IbvfRf08AgxK434O2IdsRst8IuKV9LhXu4j4p6RH\ngdPIkjG1rAbMAmZK+gKwByk5ljMGuELSJhHxYlrfZYOImFbUYb/+Tc0VmZmZmZmZLdk69+xE556d\n5r4eNrD661Tb4MRL0x0PrAtclRIBlVkXf6tqNxa4DdgAuC4iJqTZJmW72uTLzwWukfQe8HCu/CeS\ndiabKfEMMAxA0oS0jsrbko4Dbk+Po7wJfAu4CBgs6Wzg7qpxhwCXpjEbiwuyNV7+Imki2eyVo2rE\nFsBnkp4C/gq8WzIGwMGSjiRLdLwG/LKk3SSye7I2cG5EvA68nhIro9N7MpMsOXQvcIKkZ4Dnmf/R\nnIiIULbd9Z2S3o+IgcoWG56vn4h4Stm215OAN8jeWwDSzJyIiKtT0RjmzVYaBfyK7BGkIpECmSTp\nabK1eP5V1b7S5m1J3wVuUrYgc5Ct+VKYeDEzMzMzM7O2xYmXJoqIXwO/Lqn+Te74lYg4oOrc6WSL\nqlZeX5w7PjZ3/CgFO+dExMklMfXIHd9HNnMjXz+mqr++ubo3yWZx5NsPBgZXx5Vev0v2CE2TYgN2\nrXpdWYx3vvsRERcCF1JDRAyoUXc5cHlB1Z4FZUTEaunnx2QzTCrllwGXFbT/FVkSpbr8j1Wvj84d\njyb3u5W/r+n1vrnj6plIlfJdcscPk61pYy2osS1uZ8xuykSxJdfQBm+X2FKmzxrT2iEskaL03zO8\n1fTSbtYn/2280UIaOnxyad3Nv+tbWnf5PY8s9liWdpfdMrK07sJj9iitM7Ml15l/vbe0bt9zf9SC\nkbQe72pkZmZmZmZmZlYnnvGyGFXPbDAzMzMzMzOzZZtnvJiZmZmZmZmZ1YkTL2ZmZmZmZmZmdeLE\ni5mZmZmZmZlZnTjxYmZmZmZmZmZWJ15c18yswPRZY2vWr9pu5RaKpHWc2PWw0rpRr1xUhxFbdvvf\ntrTdcMcOvWrUlm+7Wi/epnlJt3xrB2BW08kH927tEFpVl75XLPY+3/qo9t9ZmuPKydeX1u3d6Sul\ndbX+DJl6+tU1RvysKWGZLbE848XMzMzMzMzMrE6ceDEzMzMzMzMzqxMnXszMzMzMzMzM6sSJFzMz\nMzMzMzOzOnHixczMzMzMzMysTpx4MTMzMzMzMzOrE28nvRAkfQZMJEtYfQr8KCLGNHLOzIhYtSXi\nqxHDFsD6ETGshccdBNwVEbfVqf8GYKuImLGI/ewIDAQ+BvYGfh8RBy+GECv99wZOi4h9FuKcut67\npc1xXbou9j47dtiuZv2M2RNL64YOn1xad9MeP2t2TC3p5VnjWnjElt1GstZ2ly1t+qyaf4y0uFpb\nRtfjvtXaur2x30Mr0nY+2/XSod1KpXWzPvlvs/rce7fyP0caZrb8tu629Jpy7o9K65q71fS67bep\nUdu8raZP7HpEaV2trab36rRJad3XLjyutG7q6Vc1LTCzJZRnvCycDyKiR0RsCZwJ/LoJ57SFvwFt\nCey5MCdIWr5OsSxOi+veHg78Kr23/16cSZectvA5MDMzMzMzsxbmxMvCyf8z4OrADABJq0h6QNKT\nkiZK2neBE2u0kXS4pCckTZB0lSSl8pmSzpf0tKTHJa2byjtKejCVD5f0pVQ+KJ0/TtJzkvaU1A44\nFzg49X+QpJUlXSNpjKTxkvZJ5x8t6U5JDwIPNOW60nkNki6UNCn1uXGuurekxyS9IOmA1H5w1fVf\nL2kfSZvn7sPTkjZJ9bena5os6fvV70e6H5Nz/f1UUt90fLKkZ1J/NxbE/j3gYOA8Sdfl+0r3Y4ik\nYZKel3RhyfUPldQlHU+QdHY6HpD6B1hV0q2Spkq6LnfuOemaJ0kaWNJ/D0kPp3swTNIXitqZmZmZ\nmZlZ2+PEy8JZKX2xngpcDZyXyv8L7BcRWwO7ABcXnPtRURtJmwGHANtHRA9gDtkMDIBVgMfTDJtR\nwA9S+eXAoFR+Y3pd0TEiepI9MvNHsuREX+DmNKPjVuAs4MGI6JVi+a2kyrzd7sABEbFzE6+r4t2I\n6Ab8Abg0V75eROwA7ANUEhfXAMek618N2A64GziB7DGfHsDWwCup/THpmnoCp0has2D8shklpwNb\npnt1wgInRVwD/B34WUQcWdDXFsBBQDfgEEkbFIzxCPCNdC2fAjuk8m+kOshmHZ0MbA5sImn7VH55\nRGyb7t3KkvbKdyxpBbL398B0DwYBvyq5VjMzMzMzM2tjvMbLwvkwJQWQ1Au4DuhClsC6QNJOZImT\n9SV9PiLezJ2rojbArkAPYFya6dIeeD2d83FE3JOOxwP/Lx1vB+yfjq9jXkID4BaAiHhB0ovAZgXX\n8U1gH0mVxSY+B2yYjodHxHvpuCnXVfG39PMm4JJc+R0pnqnpeomIRyT9QdLawLeBIRExR9Jo4Kw0\ng+f2iHgh9fETSful4y8BnWn6A6sTgRsl3VGJZSE9GBGzACQ9C3QEXq1q8yhZUuWfZAmk/5cSWRtF\nxDRJ6wNjI+K11M/TwEbA48Cu6X1YGVgTmJL6qPgq2WdsePp8LAf8uyzYAf3n5bx699mWPn16NeOS\nzczMzMzM2r5p4xqY9mRDa4fRKCdemikixkhaR9I6wF7AOkD3lEBoIEug5B1e0kbA4Ig4q2CYj3PH\nnzHv/aq1Xki+TjXaHhgR0/IFKZn0QRNibmzc/PHsqngqrgWOBA4FvgsQETdJGkM2W+ceScelvnYB\nto2I2ZJGFMTwKZBfkyZfvxewE7AvWVKnC3AP8HngyYgoX+Vrwfg/A1ZISaB+KbbvA+PIZui8CAwH\n1iabnTS+kX5WJJsh1CMi/i2pX8G1CZiSZg01ql//U5rSzMzMzMzMbInXuWcnOvfsNPf1sIEjWjGa\ncn7UaOHMTRykR4SWA94hW+/lzZSc2JlsVkT1OWVtHgS+rXnrt6wp6cvV41V5HDgsHR9B9hhSxUHK\nbAJ0Ap4HZgKr5drcRzZDo3ItW5aMU+u6qh2Sfh4KjC5pk7+ewcBPgIiI51IcnSKiISIuB+4ke7xn\ndbLHmGane140heMNYN1071YkS9xUbBgRI4FfkN2DDhGxe3rsqrGkS6GIuCMiuqc+JkTEJ8C/yB5J\nGk02A+Y05j1mVKY9WfLmHUkdyGb/VHs+XVsvyB49krR5c+I2MzMzMzOzlucZLwunvaQJzEsgHBUR\nIekG4C5JE4Engam5cyqzPwrbpEdwzgbul7Qc2SyXk8i+yJfNVjkZGCTpNOAt0nopyctkj+GsChwf\nER+nWSK/SLFfQLY2zaWSJpElj14imxFSrfS6JN0NfC8iKo9FrZnafUSWfMlfe/W9ICLeTGvl3J6r\nP1jSkcAnwGvAL4EPgRMkPUOWhBhd3V9EfCrpXLKZJ69U4kzro1yf1l4RcGlEvF9wnU3dcahWu1HA\nLilBNArYgPkTYgv0ExHvSfoz8AzZ9Y4taPOJpG8Dl0tanWxmz++BZ5sY8zLh6inl2zf/sletLRZr\naf72xrW2JZ1/cpZZ/UyfVZYDr70dbz3s3ekrpXX12KK6LW0X3vLmtHYAddfcLaPNzMxaixMvCyEi\n2pWUvwNsX1K3WhPa3ArcWnZuOh4CDEnHL5OtDVPkgYg4saqfd4Hqb59FC80OJpuJUnldK+a9qoou\niogzqtocW3Y9klYGvkK2Jkyl/kLmX6+monAr7IjYOHd8BXBFQbNvFJ1bFmdETCebaVN0Pwp3dUp1\nfckWMSat5bJ8rm4kMDL3+uTc8TnAOY3ENAno3dh1mJmZmZmZWdvjR42WLq31T3wLNa6kXclmbFwW\nETPrE5KZmZmZmZlZ6/OMl6VI9QyTFhx348Zbzdf+QbJdfczMzMzMzMyWap7xYmZmZmZmZmZWJ068\nmJmZmZmZmZnViRMvZmZmZmZmZmZ14jVezMwKTJ81tmb9qu1WbmbPzd+m2syaRqi1Q1hm1Noq3Mxs\nSdTY3wHNmsMzXszMzMzMzMzM6sSJFzMzMzMzMzOzOnHixczMzP5/e/cebUlZn3n8ebiJishFF7oC\ndntLggIKCojKJYxmHEATFDSMKCETZZAMJqBOZow2RtfKKAYjVyHcBCIqotEAiohcWjrcuoFuCDIi\npEkclRkFwyU00v2bP+rdTZ19qt6qXee8ffry/ay1V+9Tb73Xqnqr9q+r9gYAAEAhBF4AAAAAAAAK\nIfACAAAAAABQCIEXAAAAAACAQvg56Vlme6WkOyRtKumfJB0haTtJl0XEzoXq3FfSkxHxjyXKn806\nbT8SEc8p1Ky1ku0Fkh6JiJMmyHO/pNdExC/LtawbP6c3zGVXLWtN23Hp0a1p9/z5+a1p/Dzu2i/3\ns7qX3X/vGmxJZd4We7Wm/WLF7WuwJfn+H/jil67BlmC2de3bH9h591mvc4tNn9ma9uiv/31Qmbl5\n+ysHfDyT87xB9QFrg9x+r/80+/Xd/d/PyqSunP0KB5q3xR6Z1DV/Psf6gTteZt9jEbFbCrL8WtJ/\nTcujYJ37SXr9JBlsb7ym60xKjsOMzMKYzKa1dpwAAAAAAP0ReClroaTRf4FuYvss23fa/o7tZ9h+\nie3Fo5Vtv2z0t+3/lda93fZn0rLn2f6a7ZvSay/b81QFd/7U9hLbb2haL+VfYPsC2z+QdMF4Y22/\n1/Ydtm+z/cW07CDbN9pebPu7tp/fUuc821en9l5le/uUf77tRancT47Vd6LtZSntnWnZvravsX2J\n7bttX9g0sLZfYPu6VP9S229Iyx+xfVIau6tsb5uWv8T2t23fkvL9Zlp+nu0zbP+jpE+nMTrf9vW2\n77d9sO1PpzquGA/O2N7I9n3p/Va2n7L9xvT3dbZH/5X7ytSve23/t1r+b6Q2LbP9x/Wia+u8O23H\nJamt3PoAAAAAAOsIAi+zz5JkexNVN+mN7uF7uaRTImInSb+S9I6IuE/Sw7Z3SescKekc29tI+v2I\n2CkiXi3pUyn985JOiog9JR0i6ZyIWC7pC5I+l+60uaFpvVr7dpS0f0S8e0qj7VdI+p+S9ouIXSV9\nMCUtjIjXRcRrJH1F0kda6jxF0nmpvV9Kf4/afFpEvErST2v1vUPSLunOoDdLOtH2din51ZKOlfQK\nSS+13XRnzX+W9J2I2E3SqySN7pt/tqSb0zhfL2lBWn6WpD+JiN0lfVjSGbWyfiMi9oqID6W/X6Lq\njp7fk3SRpKsjYhdJT0g6sN6IiFgl6Ye2d5T0BkmLJe1tezNJ20fEj9Oqv5X6uaekBbUAzpGpTbtL\n+qDtrevl2/5tSe+S9PrU11WSpmy7Jtdee+OgtBuub7/l9MaF/9Re4S8fy9S3qDXtwaX/Z1Barg/L\nlywflO+G6+9sTcv2XflxW/kvv2pNe/y+9ifJcuOWqy/X/9yY5tqZ63+uzCfuf6g17Ue33N+alttO\nubbktmGunbl8uXYOPV5yZQ4d66Hjmet7rn9DxyyXJuX7X6IfQ8d0aDuHzmtD8+XScseXQCAiAAAX\n4ElEQVT80G04dD/MzXdDj/mh+XLjkmtnbj7P7y/tZQ6dC7vyDt23c/mGnuty56xcfY/+6BetaUPn\n+9w5K79fzP61Ra6+oftobqyH9q/EPDk0LX/MZx6p6sg7tP8lxm3ovj30Wm34OXnYdfHQ+afr2mJt\nQeBl9j3T9hJJN0tarqeDHvdFxGgvXCxpfnp/jqQjbW+k6gP2xaoCM/9u+2zbB0saPbD8Jkmn2r5N\n0rckbWH7WQ1tyK33rYh4siHP/pIuiYiHJCkiHk7Ld7B9pe2lkj4k6ZUt/d4rtV2SLlQVhFD698u1\n5aotvzjV9aCka1UFH6QqcPLTiAhVAZX5DfXdomrcPq4qgDP65L9S0lfT+4skvdH2s1U9FnVJGpMz\nVX3vzsglY2V/OwVUlknaKCK+m5Yva2nLQkn7StpH0l9J2jv15ZbaOpdHxFMR8QtJP6/V/6e2b5d0\no6TtVQXo6v6DpN0k3ZLavr+qwFCjT5zw+fQ6uXVCvK5E8OGhx1uTrr22/WuAHlyWCbxk0nJ9eGDJ\nA5l8N7WmzSzwkrmI/9fcxWj7yS43brn6cv3PjWmundmLgEyZT/zzw61pP7q1/SSZ206DAy+ZdmaD\nCJl2Dt1ncmUOHev8eA4NWAxLuzfTllw7pXz/S/Rj6JgObefQeS2fr/14yaXljvlc34em5dqSm+/W\neOAlMy65dubm8/yHl/Yyc/tE13kpl3fovp3LN/Rclztn5ep77N5M4GXgfJ87Z+X6V+K6Klff0H00\nN9ZD+1dinhw6pw095rvy5urMne9KjNvQfXvotVqJc/LQ683smH1zia444/urX2srvlx39j2e7kxY\nLT0ZsqK2aKWkzdP7S1XdlXGNpFtHgQ/be6j60H2opD9J7y1pz4j4dUP5UxZl1mu/NaHZKZI+GxGX\nu/pC3QUt6+W+k2SUlntEpp42PlabpPE4M5X18Yi4zPY+qu5AOd/2X0fERQ11hKoA40Pj26VmfExW\nSFJEhO36GK5S8zGzUNLRkl4o6WOSPqLqjpmFLX1alfq0r6pAyp4RscL2NXp6v6iP2Rcj4qMtbZ9i\nwQnpRqUTPq/99ntdnywAAAAAsE7a9je21gFH77/6729/4Zo5bE077niZfW3BhcblEbFC0pWqHn05\nT5LSHRpbRcR3JB0nafQo0nf19CNAsv2q9PYRSVvWim1bL+f7kg5Njzmp9sjLlpJGYdIjauuP17lI\n0mHp/eF6Oujwg9ry+iMyCyW9K31HyvNV3SXS+hM6EXFzROyaHm26zPaLJD0YEedIOlvVXSFStU8f\nUqvvBxHxiKT7bY+Wq/Z4V5c+36dys6o7alalu4lul3SUqkedcp6rKiC0Ij1SVI+UjOq9WtIhaYxk\ne+vUdwAAAADAuiAieM3iS9K/NSybJ2lp7e/jVd21Mfp7T0kPSHL6+wWSblL1s9R3SDo8Ld9W1WM7\nd0i6U9LpafnL07Ilqh7h2aZlvQWSjqvV+0JVP3M9+vs9qh6nuU3SuWnZ2yT9WNVjM5+W9P2WOndQ\nFSS4XdJVqr7fRKoezVmU1v3L+vik8paltEPSsn1VPQ41WudkSe9tGNP3prxLJF0n6UVp+SOSPpvS\nvidp29o2+HZq352S/iItP1fS22vljo/RvzWlSfqEpINqaddJ+mR6f5ikX2bKXCrpRZI2k3SFpLsk\nfV1V8GuftM59krZJ7w9N2+SOtB32aNn3ghcvXrx48eLFixcvXrw25NdcxwSaXqMP+phDto+XtGVE\nLJjrtqzrbD8SEc+Z63YAAAAAACDxHS9zzvbXVX1Z6v5d66IXIokAAAAAgLUGd7wAAAAAAAAUwpfr\nAgAAAAAAFELgBViP2N7U9udtn2z7FNt/WEt7he2/s/03tj80lu8I2/9g+3O2z7b94q4ybZ9veyvb\nW9r+WfqFqvm2T6rlO7lW5q4NdR7Q0o/GtLT81vT+t2wvqKVdanuz9H4n23/VZ1xq5V5u+3TbHx1L\n2832P9t+Rkt72sYt17/GMnuO2bR25vre1ZZceq1/59n+yIT5Ru18W1Me29vb/qrtF4z1v23/XV1X\nw7Zv3X4TtHN8u+fa2brde+adlpbrX64PHWVubvsM29+0fX3q5/g+2rQ/9elfW77b0vtN0j5+wFh6\n27jkjrOuuSu3DYccn53bL70f3w9bx7ujvj7bqWn/zR0v2Tmvrdwh+26PtJkc113HxNB5O3vcj+fp\n2f/RXPnhPm1x93yf2+/byuy1Lw3Yt1vz5catbVzc85yVqe8i29ulMfzKqKwebek6TzSet9rK7dhG\nXfW17qO5fmTaktt+g68RevRx6Pmsab8YPKdljomu81nu+MzNW0PPdUPPg137w9A5LXet1nj95/y1\neHa8c23q2IYTj+faiO94AdYv75N0RURcKUm2N66l/a6kC0ZpDc6IiCtc/aT45/T0z4e3lXmtql+h\nWiXpq5L2kLSjql+3kqQ/lnR5RFyZ8lws6Z0z76KW2n6Pqp/xrj8r+TVVPyX+JUl/JOn0WlpuXEZO\ni4grGpa/R9LHUtsvbEhvG7ectjL7jFlTO3N9n6lR/740Yb628ZSq/eRwSe+LiF/VlvfZTiPjz8nm\n6pvtdkrd2z2XN5c2MulzwNPKjIgnJB1tex9JO0VE037R1v+u/rXl+6HtvSRtp+oX7TrbmeSOs665\nK7cNhxyfuXaOW72deo739AIG5lP+eJnkWBo3dN8tcVx3pQ2dt4fOF33mhEt6tqVrvs/t941l9tyX\nJt63J8w3rmlc+pyzcvV9SNJnJC2X9OmIeLJnW7q2+6T7xUzmpq59dKb6Xh916erj0PNZ034xkzkt\nN56580Bbvq76hp7rcmkz2SdKXAPlrv/arsXr+SY97+b6P9NrqrUCd7wA65dXSrrFlc9JOrWWdrak\nvW3/re33txUQEb/U1KBsW5nXSNpP0l6qfhp8P0l7q/ppbUnaSdXPXysiVkp6yvZszDmXSjpQ0uZj\ny78u6fdtb6rq58Xv7dGHumNS1P+Y0YIUdX+eqouVt+Ya1TBujTrK7DNm09qpfN9n6v22fyDpsgnz\njdq5c0Pa8ZJObjhBdm2nY2yfLumETH3HNKT1aWdTvrZ2rpbZ7rm8bWm5/nXJ1edMvuy4ZfrXlu9r\nkt6h6mL9u33a2eM465q7Ord93+Mz187x+tS+nXLjnTNpvtzx0mfOazNk382lzfi4bklbnT5g3h46\nX+T6/37bZ0r6Ys+2dM33jft9z/7l9qWh+3bnfNhi2rio3zmrtb6I+Jmq//x5ZkQsmaAtXds9d95q\nMmhumuTaYkJt228m1whdfRx6PmvaLwbNaX3Hc/w80JGva96a+FyXS5uFfWKm10BN+3zu+q/tWny1\nSc67Pfo/9Ly0ViHwAqxf7pS0R1T+TNK2o4SIeDQi/iIi3idp2m20ShdqtreVVP/fo8YyI2K5pPmq\nLnx+oirq/9yIeDTlu0vSa1OZm0h6YUSsaqqzRVtaSDpF0rFTFkaskPRTSX8m6e/H8rSOS81pEfGB\niDittuyQ1K9TJb3c9sva2tkwbm19yJXZZ8ymtbOj77m29HGWpDdJesuE5Y7auawh7VhJx3ns1np1\nb6fTIuIDar6Qa9p+k7SzKV9bO1eX17Ldu/K2peX6t7rOFrn6ctr639W/tnxPqDpGf6bm/+Vsamf2\nOOsxd+W24aTHZ66dU+rT5AGyocdgW97c8dJnzmszZN/Npc34uG5JW50+YN7u3Gda5Pp/VkQcFRH1\nDymD5/vMft+nfzlD9+2hc8y0cel5zuqq7z5J97ekDZnv6+lN561pZjA3zXQbtmncfjO5RujRx6Hn\ns6bjZeic1jWebeeBXL6ueWvIuS6X1vt6s8XQOS23z+eu/xqvxev1Za4fmnT1f+h5aa3Co0bA+uVs\nSZ+1faCklZJuHSXY/j1J/1HSU6ou+MYdZftNkp6jqSfK1jIlPSjpF7W/7xnL99cp32skndFQ59Ep\n/b6I+GzftIi4wfZxqm4zrjtf0pWSdhhbnuvDyAdsHyTpoYgYPSN7sKS3RsQK2ztJ+i+S/sdYvrZx\na+tDrsw+Y9bUzlzfc20ZyT7WEhFP2L7J9oERcXmPcrsek3lc1S2lF9j+TEQsTstz26mrzLZxybWz\nK19bO6X8du/K25TW59Gi3DbM1ZfT1v+u/jXli/T6SESE7fc25GtqZ/Y46zF35bbhpMdnrp2jPg6V\nq29I3tzx0mfOa+vLpPtuV9rQ47rPWA+dt3P7zGzuF4Pn+8x+36d/OUP37dy2b8ubK/N85c9ZQ+c0\nadh839X/aekzmJv6bMNJj42u9p+vAdcIPfo45HzWlj50Tusaz7bzQNfxmZu3hpzrcml99onc3DRk\nTuucY3PXf5lr8a7rh6Z6u/o/9Ly0VuHnpAEUZ/tESRdGxNK5bsu6gjEDgA0D8z0ArP8IvAAAAAAA\nABTCd7wAAAAAAAAUQuAFAAAAAACgEAIvAAAAAAAAhRB4AQAAAAAAKITACwAAAAAAQCEEXgAAAAAA\nAAoh8AIAAAAAAFAIgRcAAAAAAIBCCLwAAAAAAAAUQuAFAAAAAACgEAIvAAAAAAAAhRB4AQAAAAAA\nKITACwAAAAAAQCEEXgAAAAAAAAoh8AIAAAAAAFAIgRcAAAAAAIBCCLwAAAAAAAAUQuAFAAAAAACg\nEAIvAAAAAAAAhRB4AQAAAAAAKITACwAAAAAAQCEEXgAAAAAAAAoh8AIAAAAAAFAIgRcAAAAAAIBC\nCLwAAAAAAAAUQuAFAAAAAACgEAIvAAAAAAAAhRB4AQAAAAAAKITACwAAAAAAQCEEXgAAAAAAAAoh\n8AIAAAAAAFAIgRcAAAAAAIBCCLwAAAAAAAAUQuAFAAAAAACgEAIvAAAAAAAAhRB4AQAAAAAAKITA\nCwAAAAAAQCEEXgAAAAAAAAoh8AIAAAAAAFAIgRcAAAAAAIBCCLwAAAAAAAAUQuAFAAAAAACgEAIv\nAAAAAAAAhRB4AQAAAAAAKITACwAAAAAAQCEEXgAAAAAAAAoh8AIAAAAAAFAIgRcAAAAAAIBCCLwA\nAAAAAAAUQuAFAAAAAACgEAIvAAAAAAAAhRB4AQAAAAAAKITACwAAAAAAQCEEXgAAAAAAAAoh8AIA\nAAAAAFAIgRcAAAAAAIBCCLwAAAAAAAAUQuAFAAAAAACgEAIvAAAAAAAAhRB4AQAAAAAAKITACwAA\nAAAAQCEEXgAAAAAAAAoh8AIAAAAAAFAIgRcAAAAAAIBCCLwAAAAAAAAUQuAFAAAAAACgEAIvAAAA\nAAAAhRB4AQAAAAAAKITACwAAAAAAQCEEXgAAAAAAAAoh8AIAAAAAAFAIgRcAAAAAAIBCNpnrBgCY\nHfPn7xDLl//rXDcDAAAAAObK8oiYP9eNGOeImOs2AJgFtiPiJ5KmHtOhVVP+elrbcmnqvNC23pB6\npqZF23rT5qV6nlmsJ1PGlDzT2tPchr711NerFx2Z7TAlz3jJPdabPtd3t2F6e/qu192GaXl6rNe3\n3+MrtrU1N/arevRhVbT3YVVbH8ba1rbeqlwf6m1oaVvf9VbltnHf9dQ8JtP62tKHtnHr3YexPL3X\n69GH3Haop03td3t7suvVy2vb3j3HtK1tvfsw7Xjo2Qd1rzd9O3SvN77/Tdl2PctuP9Zy7ekuq2/Z\n/futqeu1buOZjen0U0LL8TnWoGgpo3+e7vzjZbTnH8/TUl5mXpna7kx7eozP9Dzd+aeX0ZJHU7WX\n3d6HVS1DMq09E9aTb0OmPYXqmbZeSz3Tzzc92pDdEC3Ls42YYdmzkad1Q8xGe3qsN/1EO7P2SNJV\ndysirLUMjxoBAAAAAAAUQuAFAAAAAACgEAIvAAAAAAAAhRB4AQAAAAAAKITACwAAAAAAQCEEXgAA\nAAAAAAoh8AIAAAAAAFAIgRcAAAAAAIBCCLwAAAAAAAAUQuAFAAAAAACgEAIvAAAAAAAAhRB4AQAA\nAAAAKITACwAAAAAAQCEEXgAAAAAAAAoh8AIAAAAAAFAIgRcAAAAAAIBCCLwAAAAAAAAUQuAFAAAA\nAACgEAIvAAAAAAAAhRB4AQAAAAAAKITACwAAAAAAQCEEXgAAAAAAAAoh8AIAAAAAAFAIgRcAAAAA\nAIBCCLwAAAAAAAAUQuAFAAAAAACgEAIvAAAAAAAAhRB4AQAAAAAAKITACwAAAAAAQCEEXgAAAAAA\nAAoh8AIAAAAAAFAIgRcAAAAAAIBCCLwAAAAAAAAUQuAFAAAAAACgEAIvAAAAAAAAhRB4AQAAAAAA\nKITACwAAG4DbFt0z100AAADYIBF4AQBgA3D7ov89100AAADYIBF4AQAAAAAAKITACwAAAAAAQCGO\niLluA4BZYPtnkrab63YAAAAAwBz5eUS8YK4bMY7ACwAAAAAAQCE8agQAAAAAAFAIgRcAAAAAAIBC\nCLwAAAAAAAAUQuAFKMT2I2N/H2H7lAnyz7O9rFR7asuPsn14en+e7ben939r+7dnq34Ak7O9yvYF\ntb83tv1/bX9rwnKusb1ben+Z7S1nu60AAADSuvM5KLP+6s9EY8tfY/tvhrRhkyGZAPTS9M3Vk36b\n9bT1bW8cEStnqT2KiDNblr9vQB0AZtdjknay/YyIWCHpzZL+ZSYFRsRBs9IyAACAZuvE56CJC4lY\nLGnxkLzc8QKsYba3sH2f7Y3T388Z/Z2iqLfbvk3SMbU8R9j+pu2rJX0vLTvR9jLbd9h+Z1q2r+3r\n0v9o/9D26VOr9qdS+YtsPz8tXGD7uIZ21v+H/C22F9u+zfZVxQYHQJMrJB2Y3h8m6eJRgu1n2T7H\n9o3pGH1bWr657Ytt32X765I2r+W53/Y24/+bZPt42x9P76+xfZLtW1IZr7V9qe17bH9yTXQaAACs\nX9bCz0HzbF+dll9le/tanjen66Af2j6wVsc/pPfPtn2u7aUp/8G5vhN4Acp5lu0l6XWbpE9IUkQ8\nKukaPf1B6g8kXZqit+dKOiYidm0ob1dJb4+I30m3vu0SETur+h/wE21vl9bbXdVktaOkl9Vuk3u2\npEUR8WpJCyX1uqPF9vMknSXp4NSuQycYAwAzE5K+LOkw28+QtIukm2rpH5V0dUS8TtL+quaCZ0o6\nWtJjEfFKSQskvXaszKb341ZExO6SzpT0zVTmzpL+0PbWM+sWAABYj60rn4NOkXReWv6l9PfIvHQd\ndJCkL9jeLC0fXTt9TNLDEbFLyv/93IAQeAHKeTwidkuvXVV9+Bk5R9KR6f2Rks61/VxJz42IG9Ly\nC8fKuyoifpXev1Hpf70j4kFJ16qaaCTp5ohYHhGR1nljWv5kRFyR3i+WNL9nP14n6bqIeCDV93DP\nfABmQUTcqep4PUzS5ZJcS/5dSX+eLmqulbSZpBdJ2kfSRSn/Mkl31PLU8+eMvkdmmaQ7I+LBiHhS\n0o8l7TCkLwAAYIOwrnwO2ktP30l8oaQ31Or8aqrjXlXXPuPfffkmSaeN/qi1rxHf8QLMgYhYZHu+\n7X0lbRQRd6cJJ+exTFrug9QoKvvr2rKVmuz47/tBDUAZ35J0oqT9JD2vttyS3hERP6qvbE87ZJuO\n4ackbVz7e/Ox9BXp31W191I1p3D9AAAAJraWfQ7K3flbT3PHup244wUopytYcaGqW9rOlVZHSR+2\n/fqUfngm70JJ77K9UXpGcW9JN6e03dPzihtJeldadyZulLS37XmSxCMGwBo1mkfOlfSJiLhrLP1K\nSceuXtl+dXp7vaR3p2U7qXpEadzPJT3f9tbpMSa+dBcAAMyGdeVz0CJVdxSP6qyvf6grL5X0Ykn3\njOW9SlO/i2arXEUEXoByuqKifydpK1Xf3zDyR5JOt70klz8iviFpqarHB74n6cPpVjtJulXSqZLu\nkvTjiPj7nu0ZXydSXf9P0vslfSM9zvDlpowAihgdhz+JiFMb0j8padP0xW7LJP1lWn6GpC1s3yXp\nBFXzwniZT6X1b1EVwLl7fJ1cmwAAAFqsK5+DjpV0pO3bVf2H1Qdr6z+gKqBzuaSj0uPWdZ+StE36\nkt/bVN2V3MrV408A1jTbh0h6a0QcMYtl7ivp+Ih422yVCQAAAACzZUP8HMQz2sAcsH2ypLdIOmCu\n2wIAAAAAa8KG+jmIO14AAAAAAAAK4TteAAAAAAAACiHwAgAAAAAAUAiBFwAAAAAAgEIIvAAAAAAA\nABRC4AUAAAAAAKCQ/w8/X4odnZrqzwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "msa_to_heatmap(filtered_msa, hydrophobicity_idx, legend_labels=hydrophobicity_labels, sequence_order=sequence_order)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also filter sequences from the alignment. For example, maybe we want to exclude our hemoglobin sequence, since it's a paralog of all of the other sequences in the alignment. We can do that by finding the name of the sequence (it's in our ``sequence_order`` list and in ``msa.index``). Rather than having to pass the names of the sequences we want to keep, we can create a boolean vector excluding the single hemoglobin sequence and slice the alignment with it:" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": true }, "outputs": [], "source": [ "myoglobin_msa = msa[msa.index != 'hemoglobin-human']" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABF4AAAGACAYAAACUSKYHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XeYVdW5x/HvTy4Wml1jA0E0NlBQFCujRmPBEhMlBjVR\nYwnWaOwJjKhRY2JQEFsUsXHF2BB7AaLCACrV2DCI5WosWAYVUOe9f+x1Zvacs/bMGabD+3keHvZZ\ne5V3t1PWrL22zAznnHPOOeecc8451/BWau4AnHPOOeecc84555ZX3vHinHPOOeecc84510i848U5\n55xzzjnnnHOukXjHi3POOeecc84551wj8Y4X55xzzjnnnHPOuUbiHS/OOeecc84555xzjcQ7XlYA\nkp6TtG9e2pmSrm+umBqTpIMlndfccWSRtIOkYWG5n6Rdmjsm55xzzjnnnHONQ2bW3DG4Ribpt8Cu\nZnZ8Km0KcK6ZvVBEeVkrOVEktTGzH5o7jmJJGgIsMrO/1aFMq9pG55xzzjnnnFuRecfLCkDSmsBr\nwMZm9r2kLsAkYBvgYWANoC3wJzMbF9Y/CUwFegMHAhcCOwKrAf80s0tC3fOB0cDBwP8AR5jZm6FD\nodzMrgn55gAHAZ8CY4GNgDbApWZ2XyrWTsBsM9s0vG4HvA50BY4DTgqxzgOOMbPFkkYBi4HtgReB\nOcCOZnZ6WPeImT0Q6is3s46SfgTcC3QMcf/OzF7M22+/Bg4D2gPdgb8BKwPHhPYONLMvJG0P3BD2\nzdvA8Wb2paQJYR/uBawOnGBmL0rqB/wBOA0oA74HPgFOB94HbgPWDmnHmdn7qW3sBbxgZn+IHGe/\nmJ1zzjnnnHMrNDNTc8eQ73+aOwDX+Mzsc0nTgAOAR4BfknR+fAscZmaLJK1N0gkwLhTrTtKxMR1A\n0kWhk2El4FlJ95vZ3JD3YzPbQdLvSDoUToqFEf7fH/jAzPqHejvmxfqVpBmS+pnZJKA/8ISZ/RDa\n/EcodylwApC7XWojM9slrPt1qr2sOH4V6r1CkoB2Gfm3IenQaUfS2XOumfWWdA1wLHAdScfTqWb2\ngqRLgCHA2aF8GzPbWdIBQCmQu+XLzGyBpBup3kE1DhhlZndJOg4YDvwstY19M+LMVUppaSmlpaUA\nVNjblesuKb2WIaVnAnDU41cDMPful9h24I4AjDngglTeYQwpPQuAhUtmAfCXy8Zw3h+PCjvRQtr/\nct4ff1kQRzp9vUMuShLf/gQ2W7cyz/C//gqAx254jgN/t3e18um0D77+pjL9+X88zx6/3aNa3nTa\nOb12LogVoMuFfwFg6ZR3WXmXzgB88+rn0bh+ePKRgv01cs6YouM6u9dOBftg92EjK/N++szbrPOT\nzQB48axTC+I99bnHgerHBmDm7P8UlH/t/JtDrFXHC2DBoikADPvzPznrol8k+6DDTgXbtZJWqyxT\nWvo3SkvPAeCTxdMKtuGaGdMKthXgurGTCvZtTn7aq0NPL4jr4f+8BcDjNzzHAanz4JqHJgDwxYT5\nrLFX12S7htxVEGuFLaksk94PCxaVFbS1//WjCvYhwAtnDSrY3rVX2b6gzmSfrVwQw6eLp4fy1c+7\nRd99WxBDv2tuLtiuiWefWJAP4NH5yfWbPu+ufvC5gvIA5/5s74K8g3oMjG7DUY9fBVQ/x/bYeOOC\n8kkdR0fKX1lQ/vq9D4jug9h7xT1vzAEKj3kbqehtABWkf7ZkZkFbCvny44pdZ1n7ICedflDX5PzJ\nP2ax6yz5G0NsGwrTLi5Lzo/0dfafzxcWxApV79nVz/vCax/ggucnFdQx5oBzI7HCu4umF5TfZvBw\noPCa7r9vj4K4YvvxtJ7JgNv0dQMwYvZtBXkH9TgqGteCRdOi2xZL69B2tYLPp9j1mJV30wuvLtje\nuUNPi5aPva9s37NbUiZv31y5R7+C8l079ovumwpbWtR7e9Y+6NIh+bpQvY7C6yZXbzHvPwDnj3q8\n4DzYeP32BfsA4P3/fl2Q96rjDiio96YJyfv1fx9/k/UP2KIy79abJ+dSej+O2Ht/oPD7x45XXVfw\nvvjpF8nnQ34MI08+lAdHPM3PTqu6C//ATbeI1nvNjGlFfe6dcWRyHPPzXt73hIJz+eKyW6N5rxs7\nqSDWrPMudt7e+2bytTz/mB3UdbPI+bFL0edXx7btCt5Dd7jqWqDws2j+4FuKvnZj9a61ynZA/LM3\n/xr5ZPG0oq/zcf+ZV/CZc2i3zaN5x8+fF92HsbwXPD+p4Dofsff+BXGd9twTQOF7Qtn0Nwv24aSz\nT4q21bnDzgX7ZeGS2UDhZ9zdb8wu2N5DunWPvnfEzoV3F5UV5D34tuQ7WP51evJefQv214Attg1x\nFe6Hws+y+GdR16EnFuybBUPuKjgPACrs22rl26zUnZbI53hZcfwvSYcL4f8xJMf/SkmzgGeADSWt\nF/IsyHW65MpIehmYAWwd/uU8GP5/Gdg0o/1cr+McYF9JV0ja3czKI3nHAgNSsd4blntK+pek2SQd\nJ9ukytxH3UwHjpM0GOhpZl9n5JtgZt+Y2afAF8D41HZsGkborJ66ZWs0sGeq/APh/5eBLkXEtQvJ\nsQG4E9gtta6u2+icc84555xzrpn5iJcVx8PANZJ6AauZ2YwwMmRtoJeZVYTbhlYN+Ss7IiRtCpwD\n7BBGpIxK5QPI/cn5B6rOqe+p3rG3KoCZvSUpd/vSZZKeMbPL8mIdB1webpHaAXgupI8CDjGzuSH2\nfqkyWR0nlXGEkS0rhziel7Qnye1Po8IIlkUko1UM+G3ethHSc68rUtta01C22L6pSU23C2VtY6XS\n0lImTpxIaWkpJSUl7NlvkyKadM4555xzzrnWZ+LEMiZOnAql1zZ3KDXyjpcVhJl9LWkiyfwh94Tk\n1UluE6qQtBfVR2SkOxM6kXRKlEtan+SWpQm1NPkOSacGoaOla1jeAFhoZvdI+pLkdqFYrC8B15LM\nz5LrjOgAfCSpLTCQZD6U2rxDMjfNP4FDSeaHQVJn4H0zu1XSqkBvMzsbeKhyB0g9aqs8dEQtlLRb\nmCPmGJL5c2JiHTTlJPs3ZzJwFHAXcDTwfG0xpOU6XkpKSgD4ZHHl5tBrt/X4bMmcavnX67FhtJ5+\nJYV3NO2257aVy+uumgynP+gn31cuJ+1NK8hbac343Vyb71g1hDA3lHPtg5fQNyzfPLcq5s69q4bf\n5obft918zcrlWKxpbTZevYi4ktsC+pXsWrkcizUtHVcshtwtQQATdy6jJOzfkXOSYZtLurbnf98s\n7ti067Zm5XLu1opeu61TuZzWd4+tC9L6lexcuTy/vOpU/fFO7Spfd2i7WsE25MS2FeL7Nrq/8+Ka\n/MEHACzZtGPlMkDfPskw1o9X6cB6Pavvi5KSqgeBfRZuhQPotdu61V7nt5WT3odpse2NXQv5MeRu\np9l1z20rl2uLYdVN16hczu3vvfbqVbmcFjvv0uWz8uZut9py506VywC7brQRAOvutZTNw3JNbeXv\ngyv3SPq8y1i3YNuyrr1YeveM66l6DAox7ELsLbS296rcdZV/jdVlH+Ruk9l2wJaU9NwVqLp2Ysc2\niWvn1CtLpaXPD2WeX+nrrGz6mwAsbvtD5TKQfBIT3wdZccXeV6rHmgxnP2Q/o3OHdHpyq1Hsms56\nr4qdS+nrpra8+XHlbp05dL+q5dx5nb+9i777lt67bl552wFkX2fXzJjGBxu0qbydEpJbqAA+Xn/t\nyvef3K03dF+jajkl9r4S2zf5seZut/p8ky8qlyG5zS/r/Igd3/y03C2FH6/2f5XLudt0Yp8ZWedM\n7Nhkvbfn74MzjuzHgu4L6NK7cMBvrN723deO1hvbj7H3lKz3xfx4j/nxkWzy886U/Lhq/+b2R369\n142dxA9ffsmMsYVf7WL7If8zcuScMXzR+evKW5ZryptVJ8SPT9b7bf6+PeS2u1lU/hnP3XZ3ZdrS\nb0fxzYcL+d+r/l2Z9sSpx9W5rdg+z792c+pSb+zcz3//iF3nNbWV9ZkTy5v1fS+Wt9jzMytv1nkb\n/w4Xf08o9jM2+zOrer3j58/Duq/O+PnzCvLGrtOs/ZUfV9n0N2v4LKt+3nRaox0rbfsjOqxR/Xt6\n7HOkpKQvlFL5/Xro0OHReJqbd7ysWMaQ3PqSu43nbuCRcKvRSyQT8OZUfjs0s9mSZob17wEvxPLl\nuR84NkyqOxV4I6T3AK6WVAEsBU4BCHOjTDez3K0895LccpQe1fInYBrwcagzNz9MTaNEbgEeljSD\nZMLgRSG9BDhX0ncknR/H1lBHTlY7vwFulLQa8B+SSYBj+WPlHwH+KekQksl1Twdul/QHwuS6tbRd\nINfpki/2ppz/g7aqjtiPmcJ+qJKSXYtui7XaR/Nu3qf4D4bYl7fYNsRiBWizSeQLTUZcsX0QizUr\nrqwP3WLrzTo27bqtVXRbsf0Yaz8rb6ze2LZCfN9G93dGW1nbG0uvy3kX73gp3IdZ5bP2VyyGuhyH\nVbsW/kjL/BIdOT9i5bPyZv6giuSNpdXtnIlfe7Fty7qe6hJD/L2qfm1l5Y0d86x9G4ur2DSIX2dZ\nxzxWR2bHS/R6Kj6u2DWdde3Gj2P82q3vMS+mIyKnLu9rsW3LOj9i7yux8nW5Huty7dXlmBf7XpkV\nV9Z7e2wfZO3bWL0dNs/oeClyG7KukVi8Wfs2Vm/W9sbSo51MdfjuUJfPzbp8ZsT2bdZnYV3e22P7\nvCE+M+LvS8W/B0c7UzKOQ33zFnt+ZuXNOm/r8h0uth/r8n2gLt95Y+dSVt66XKexGGJtZX2OZO2b\nlsQ7XlYgZvYwqT/hm9lnQPzshZ55ZY+LZTKzbqnll4G9w/Ji4KeRIu8CT0XqGZL3+n7yhhuY2U3A\nTZGyx+e9Hk0y1wpm9jHJvCk5F4T0O4A7YtsUqye87hZbZ2az8trI5dk7tfwZ0C0sTyKMijGzt4Dt\n8oruU9s2Ouecc84555xrHXxyXeecc84555xzzrlG4h0vzjnnnHPOOeecc43EO16cc84555xzzjnn\nGonP8eLccmztVbIezPREver9dPH0epWHqicYNaS1VolPZlYXCxZNaYBIqtvqqpOi6S+edWpB2vPv\nxx/WlX4yUk59Y+3asV80Pfd0quZUbcb7nAMLk9JPIkk7adtaH0rWYsSeyNAQck9+yTf5g8Knc+yx\n8cZF17vt4BEFaQuuOK/o8umnV6VdtUdJ0XUUa8AW8feE2HmzUfv4k9fST5rJqdv7V+yBdsXLPeGr\nqby7aGqD1zngsaHR9Ph5V/+/CcaeDrb7sJHRvC+cNagg7bTn6vcZWRdZ52h9jTnggoK03JP08jXG\n53FLducbYwvSDty0aa+zpjTu+IEFaftfP6ogrUuH+FPHFuY9LdC5pvDVF980dwgNzke8OOecc845\n55xzzjUS73hxzjnnnHPOOeecayTe8eKcc84555xzzjnXSLzjxTnnnHPOOeecc66R+OS6GSQdBjwA\nbGlmb0rqAow3sx6S+gF/MLODJR0MbGVmf1mGNlYHfmVmNzRs9NG2NgCuNbMj61juZuAaM3u9DmWW\neZ+E8i+Y2e7LUrYx4knVMwQoN7NrJI0CHjGzByTdAvytLvsoVWc/YKmZNfyMri1cbOLPBYvKmiES\n15r95/OFzR3CcmFQj6Mbpd66TBw8fv68grRBPeITBLvW5d4DB0fTYxMXN5Y3Lrg9mt4SJhN3zjW9\n2GeOc43JR7xk+yXwPHBUKs3yl83skXr8oF8TKJxOvwaS2ixLQ2b2YV07XUK5k+raoVDPfUJDdro0\nRDxF1H/isnS6BCXArnUpsKzngHPOOeecc865pucdLxGS2gO7ASdQveMllvfXkoaH5W6SpkiaJelS\nSeW5+iQ9I+mlsO7gUPwKoJukVyRdFfJeLWlOyHdkSOsn6V+SHgZejcQwX9KfJc2QNE1SL0lPSHpL\n0skhTxdJc8Ly1pKmhnZnStpMUjtJ40MdsyUdEfJOkNRb0kqSRoV1sySdGdafIenVUM89kX0yStIN\nkqZLel3Sgak8D4X635A0OLU95anlP4RtmhlGnOS25d+SbpY0N2zrKkXGc0TYvzMkTcw4pr8Nbc6Q\ndJ+kVWs5ByZI6h2WTwjbUxbiuy6k9w9pL0t6StK6YRTVKcBZ4VjsFrbt2RD/05I2ztuPZcBVNcXj\nnHPOOeecc67l8FuN4g4FnjCzeZI+ldQLqGk8e24kzLXA381sbOjwyKUvBg4zs0WS1gbKgEeAC4Bt\nzCz3o/1woGe4nWk9YLqkSaGOXiHvuxkxvGNmvSRdA4wiGUXRDpgL3JQX5ynAMDMbI+l/gDbAQcAH\nZtY/xNIxr/7tgY3MrGdY3ymknw9sambfpdLSbQF0MbM+kroDEyRtFtL7ANuE/TNd0ngzeyVXVtK+\nwOZmtpMkAeMk7Q68B3QHBpjZSZLuBX4O3FNEPH8C9jOzD/PWp91vZv8IMVxK0gF3fUbeSkpu5/pj\n2FeLgAnAzLD6eTPrG/KdAJxnZudKupFw+1JYNw4YZWZ3SToOGA78LNSxUa4O55xzzjnnnHOtg3e8\nxB0FDAvL9wK/AkYUUW4Xkk4bSDoBrg7LAq6QtCdQAWwYOlby7Q6MATCzj8OIjD5AOTCthk4XSDpy\nAOYA7c3sG+AbSYsjHQxTgIslbQI8EDqY5gB/lXQF8KiZvZBX5j9AV0nXAo8BT4X0WcA9kh4CHsqI\nbWzYpnmS3ga2DOlPm9kXAJIeCNv/SqrcfsC+kl4h2Yftgc1JOl7mm9mckO9lYNMi43kBGC1pLMkc\nPjE9JF0GrBHafDIjX76dgIlm9mXYpvtCvACbhDY3ANoC8zPq2IWqjpY7qT665b7aAigtLa1cLikp\nYc9+mxQZunPOOeecc861LhMnljFp4tTmDqNW3vGSR9KawN7AtpKMZDSIUcSIB6qP8lBqeSCwDtDL\nzCokzQdqvH0lUsfXteRdEv6vSC3nYqp2nMNIlzKgP/CYpJPMbGK4XeZA4DJJz5jZZakyX0jaDvgp\ncDJwJMlIkIOAPYFDSDpzto3Elr9fLJIeey3gCjO7pVpicotOeht/oGp/1hiPmQ2S1Cds+8thm/9G\nMqIoN+LnduAQM5sr6ddAv8g2ZVFG+nDgr2b2qJIJdYdk5MvfB2m1nQPVOl4AKuzt2oo455xzzjnn\nXKtUUtKXkpKqmwKGDh3ejNFk846XQkcAd5jZ73IJkiYAm5D9ozqnDPgFyQiPX6bSVwc+Dp0uewFd\nQno5kL6l53ngJEl3AGsDewB/ALZa9s2pRgCSuprZfGC4pM5AT0lvAAvN7B5JX5J0qlQVTG6RWmpm\nD0p6k2Q0BkBnM5skaTIwAOgQafeIsE3dgK7AG0BvktEsa5B0ohwG/CYdJ8lIk6GS7jGzryVtCHyX\nlydfjfFI6mZm00lubdof2MTMjs+rowPwkaS2JJ1m72e0lW868HclT6v6muT2p9lhXSfg/8Lyr1Nl\nysO6nMkkI67uAo4mOSdanHVW7RNNr8vTIVZKpuWppmvHWB/XnEhalvrPO9ylw06R1Pp1YD1x6nFF\n5x3/dHx7F+xR+OCreKywYFFxx2F++aRoeoe2qxVVHqD/vj0K0nbdaKOiy9dFLN7r9z4gmrf8u28a\nJYYBjw0tOoZidWzbrl7ls1UUnXPknLui6bGnHW28fvui641d07tuVJcnSfyQkV7cta6Mj4rY07A2\nat84x2HBovhD67p02KXB24q/hwLEr/WY5n/SR9Z5W79pCStsab3KN5Z1V42/j7fUeJcHx/y48FkT\nny2ZGckJZxxZeE1dN7bweoqlAVx1XP0+HxpL7HtJ1ntV431GObdi8Y6XQgMonLz0fuBCav8W+3vg\nLkkXkXQafBnS7wYekTQLeAl4DcDMFkp6UdJs4HEzO1/SLiS3y1QA54Zbjgo6XiQ9CpxgZh9R8yiJ\ngicxAUdKOoakE+ND4HKS22SullQBLCWZByZdZiNglKSVQtoFYX6Yu8KtTCJ5XPVXyXQs1bwLTCPp\nZDrZzJaGPNNIbvfZCLjTzGak2zSzpyVtCUwJ+ctJOiMqYttcZDxXS8rd/vOMmc3Or4dkHphpwMfA\nVKp3juXEnnD1f5L+HMouBF6n6hy4BPinpIXAc1TdGvVISD8EOD38u13SH4BPgOPSbTjnnHPOOeec\na1284yWPme0TSRtBao4XM5tE+PORmY0GRodVH6QmUB0AbBHyfEbGI4PN7Oi81+cB5+WlVbaXSjso\ntdwttZyOJ71uIdAzpF1FYefSU1TN25JuZ+/Uyx0im7BHpEy1GEg6OGKPzX7fzA6PlO+UWh5OcptO\nvp6pPH8rNh4z+3mkrvz8N1E1IXE6/ZLU8vGp5fQ+GmNm/1DyyOcHCfPMmNk4YFykzreA7fKSY+dg\n/qgc55xzzjnnnHOtgHe8NKwdJI0gGW3xOeA/lle8kRqlkn4CrAI8ZWYPN3dAzjnnnHPOOeeaj3e8\nNKDwJKDtmzuOliRrpEZkVMxywczObe4YnHPOOeecc861HN7x4pwLlt/BSX/+zf4FaWedO6bJ2s+a\nRHPhklkFabHJapvaou++be4Qoh6dXzjJcWzyV4Dy7+KTBNZXY00cXF/9u3Zv7hCi6jLhdlNuQ1Me\nx5vnxifMvrxvw0+uCxvWu4bTehb+veR8Hq9XnSNm31av8gALFpXVs3z8PaEuk4nXV2NMqNzUYpPN\nPjDppWaIpGmctG3hZ3JsIt3Y94zGFJ+UeW696sw+P5vu+2HWdRqbODx27bbU7y/OQX2niHfOOeec\nc84555xzmbzjxTnnnHPOOeecc66ReMeLc84555xzzjnnXCPxjhfnnHPOOeecc865RrJCd7xIWk/S\n3ZLmSZou6UVJhzZQ3WdKWrUh6lreSRoi6eyMdS80dTzLStKvJf1oGcptJ+mAvHqGN2x0zjnnnHPO\nOeeaw4r+VKOHgFFmNhBA0ibAIekMktqY2Q/LUPdZwJ3A4npH2YpIWsnMKhqqPjPbvaHqagK/IZlS\n/qNiC0hqQ/II8h2h2mMjmuERQyo6Z4U1zqzxAx4bWpDWbc21ii4/cs5d0fSPvmk9s9yPfzr+BJQx\nB1wQSV2Wt6YqsacEAHy6eHq96r3o9iei6YcO3bxe9bYEkz/4oCDtVz+OP4lq/Px5jR1OjW0d1LVx\n3kZeOGtQo9Rbl22IPX0j9jSLjm3bRcvHjuMeG29cW4jL5PK+J0TTLy67ucHbml9e/6e1VdjSBoik\n4cXer+aXFz5dpiWLPbEl6324pYo90af8mrujeTuePbAg7arjDihI++qLb+ofWDPL+tybO/S0grSs\nJ53FnmqYdX7U9zqNvYdmPVEo6320udX3CUaDehwVTR85p+meeulWLCvsiBdJewNLzOyWXJqZvWdm\n14cRBw9LehZ4RlJ7Sc9IeknSLEmHhDq6SHpN0l2S/i1prKTVJJ1O8kzHCaEOJO0naXKo415J7UL6\nfEl/ljRD0jRJvSQ9IektSSeFPKNzbYbXd0k6WNLWkqZKekXSTEmbRbbzwBDjdEnXSnokpLeTdKuk\nMkkvp7ZpFUm3SZod0ktC+moh7rmSHgjleod15ZL+KmkG0FfSn8K2zJZ0YyqWCZKGhW2dLWnHVKjb\nhPXzwv7LlSlPLZ8fys2Q9OeQ9tvQ1gxJ92WNMgox/iXE/5SkPqn2+qeO57/CMXpJUt+Q3k/SJEnj\nJb0uaWSk/p+TdJ7cFY7HquHYrhXW7yBpQlgeIukOSc+TdM4NBY4M5Y7Iq3cdSf8Mx3mqpF1j2+ec\nc84555xzrmVaYTtegG2AV2pY3ws43Mz2Ar4FDjOzHYG9gb+l8v0YGGFmWwPlwO/MbDjwf0CJme0j\naW3gYmCfUMfLQPrWmnfMrBfwAjAKOBzYheQHOcCtwHEAkjqFdY8CpwDDzKw3yY/+99MbIGkV4Ebg\np2bWB1iXqpEUFwPPmlnfsE1XS1oNOBWoMLOewK+A0ZJWBgYBC81sW+BPQO9UU+2BKWbWy8wmA8PN\nbKdQRztJB6Xyrha29dSwren9uC+wMzBEyUgQcvEquRXnYKBPKP+XsP7+0FYv4HUg/qfFJMZnQvyL\ngEuBfcK+vjTk+Rj4SThGvwTSt/v0CTFvBXSXdHi6cjO7H5gO/MrMepvZYgpHraRfb0VyPvwKGAzc\nG8rdl1fmWuAaM9sZ+AXwj4ztc84555xzzjnXAq3otxpVkjQC2B1YClwPPG1mX4bVKwFXSNoTqAA2\nlLReWPeumZWF5buA04FrctWG//sCWwMvShLQFpicav6R8P8coL2ZfQN8I2mxpE5m9i9J14cOnF+Q\ndDZUSJoCXCxpY+BBM8sfp70l8LaZvRtejwFODMv7AQdLOje8XhnoHPbBdQBm9oakd0g6RXYHhoX0\nVyWlx0l+DzyQer1PqLcdsCbJ7TePpmLAzJ6X1DF0JAE8ambfA59J+i+wPknnVWWdJLeFLQnlvwjp\nPSRdBqxB0rnyJHFLzOypsDwHWBz24RygS0hvC9wkaXuSezjS90VMM7MFAJLGhP2R3mZIjrfyXmcZ\nZ1bUONGfAFuF8wagg6R24RwpUFpaWrlcUlLCnv02KaIJ55xzzjnnnGt9Jk4sY9LEqc0dRq1W5I6X\nV4Gf516Y2WnhtpCXSUYmfJ3KOxBYB+gVfqzPB7Imzo3dkC7gqdxcMhFLwv8VqeVcXbljdAdwDMlI\njN+EmMdIKgP6A49JOsnMJkbajhHwczN7q1qiCrKL2ucbWWxmuZEpq5B0XPU2s/+TNITq+yprFEh6\nuyso/ty8HTjEzOZK+jXQT9JKVB3HcWZWStI5lK4/14FjknJt/R74yMx6hhE36ZtHaxq9kuV7qkaV\n5Z8vX1McATub2XfFZE53vABU2NtFNuOcc84555xzrUtJSV9KSvpWvh46tGU+o2SF7Xgxs+ckXS7p\nZDO7KSR3IP6DenXg49DpshdVIyQAOkva2cymktya83xI/wroBCwEyoARkjYzs7eVzO+yUX6nRy1G\nA9OAD83sdQBJXc1sPjBcUmegJzAxVeYNoKukzmHUy4DUuieBM0hG6CBpezObGeIfCEyUtAWwSajn\nxVB+kqQeYxeIAAAgAElEQVStgfQMYOnemlVJ9uFnkjqQjNBJ3z6Tq2N34EszK4909qTlVj4N/EnS\nPWb2raQ1zexzkmP2kaS2Ie73w+S+vWqqNKON1YH3wvKxQJtUnp0kdQnrBwA3USh3zHPmAzuQ7Ouf\nR/LnlOeVS3sKOBP4KyRPQDKzWTXU5Vqk4ifBjU2uB7DVVScVpL12/g3LHFFNrDnmdnYNrkuHnTLW\ntK4JSZdXl/ctvKYbY8LduvPr37U+ndYonAD20y+WRHI659KyJlV2DW9FnuMF4DCgRNLbYeTIKOB8\nCkeJ3A30kTQLOBp4LbXuDeBUSf8mud0lN5nsLcATkp41s09J5mgZE+qYTHL7DtT8DadynZl9HNpN\nz4tyZJgsdgbJnDV3AEh6VNKPwjwjg4AnJU0n6RjI3T51KdA2TFY7h6r5ZEYCbSTNJrkt6NdhtMVI\nYB1Jc0Peuam60nF+Gbb9VZKn9EzL26bFkl4J9R1f23bnls3sSWAc8FIof05YPzi08TzVj0tNdWat\nGwn8JuzPLag+KuUlYATJdr1tZg8CSLpFYZJhks6xG8MkuauQ7KfrJE2j+oibfBOArWOT65J0uuyo\nZFLnucDJNdTjnHPOOeecc66FWWFHvACY2X+B+LPEkh/RuXyfAQVPkwkjIL43s2MjdY8g+aGeez0B\nKPjzo5l1Sy2Pzmu3cl0YJdOdMEdKWH8VcFWkzvRkthPNbKtQx/UkHQiETplTImWXEO8QWQwcY2ZL\nJHUjGYGyIJSpNlrDzAaTdIjE3GVmZ+flvyTvdc/UcqfU8l+omlQ3l3YjVZ1dmfLqyW+vU/h/HrBd\natWFqeUvzazao8ZDmRNTyw9Qfd6XF6jqYEuXyW//cwrPjdFh3Wckt5c555xzzjnnnGuFVuiOlwbS\n6GNyJe1D8mSjv5lZeW3585wY5j5ZmeQpTrFbZIrRjuTx2G3D69+FyXDrwscvO+ecc84555xboXjH\nSz2Ep9z0rDVj/dt5Fth0GcsOIzyNqJ4xLCJ5pHJ96ti7vnE0BzObhE+K4JxzzjnnnHNuGazoc7w4\n55xzzjnnnHPONRof8eKcW24M6hF/YvuCRWUFaVfyUGOHk2o/f47pRMe2hU9hGP/0nGjejddv36Ax\nLT+Kf2LUiibrvFtedWi7WnOHEJV1HLp02KWJI2ndKsyfUNPanHFkv4K003oWTiN49YPP1butr774\npt51NIauHQv3AcQ/56Of/wc2bDw5dXlS4sIlc+vVVtYT9upbr2t9+vbZorlDaFY+4sU555xzzjnn\nnHOukXjHi3POOeecc84551wj8Y4X55xzzjnnnHPOuUbiHS+tnKT1JY2R9Jak6ZLGS+reAPWeKWnV\n1OsL61tnQ2mpsUk6VNKWy1Cui6SjUq/7SXqkYaNzzjnnnHPOOdccfHLd1u9BYJSZHQUgqQewPjCv\ntoKSZGaWsfos4C5gcXh9EXBF/cMtTkuOrQaHAeOB14stIKkN0BX4FTAmtSpr290y2HbwiGZtP2sS\nzYVLZhWkvXPFudG8a6/So0FjAhgx+7Zo+i+3aPi2nFtRZb3/lF/jk+vWRWySdNcyxCZqBTi8345N\nHMmyE2ruEJrUE6ceV3TetVbpWa+26vKAgaY0cs6Y2jO1ILH3wObeh3VVNv3NwsQDmj6O5uIjXlox\nSXsBS83sllyamc0BZkp6RtJLkmZJOiTk7yLpdUmjJc0BNpa0r6TJIe+9ktpLOh3YEHhO0rOSrgBW\nk/SKpDtDXQ+GETZzJP02I77NJD0taWaov2uovyXEtrWkqaHcTEmbhfSBqfQbJCmkj5Q0LdQ5JFLf\nLsAhwF9C2W6SJkjqHdavLWl+WP61pIclPQs8Q9JptEcod2Zeve0k3SqpTNLLkg6u9cRwzjnnnHPO\nOddi+IiX1m1b4OVI+rfAYWa2SNLaQBkwLqzrDhxjZtPDuj8C+5jZt5LOA35vZpdJOhsoMbPPASSd\nama9U20cZ2ZfhFt+pku6P5c35W7gz2Y2TtLKJB19S1tIbKcAw8xsjKT/AdqE24QGALua2Q+SrgcG\nkoyuuSjUuRLwbKiz8jl4ZjZF0jjgETN7IMSVf1zSo1h6AT3M7EtJ/YBzzCzXCZV+9uDFwLNmdoKk\n1YFpkp4xs2/zK3fOOeecc8451/J4x8vyaSXgCkl7AhXAhpLWC+sWmNn0sNwX2Bp4MYzsaAtMTtVT\n07jLsyQdFpY3BjYHKscSSuoAbGhm4wDMbGlI/5/mji2YAlwsaRPgATObJ2kfoDdJZ42AVYH/hvy/\nlHQiyTXzoxDbXJbd02b2ZRH59gMOlpS7/2RloDPwRj3ads4555xzzjnXRLzjpXV7FfhFJH0gsA7Q\ny8wqwi0uuclov07lE/CUmQ0soq3Kjo4wImNvYGczWyJpQqr+2jRLbKEjZgjJqJPfhpEuZUB/4FFJ\nJ4d6RpvZxdUqlzYFzgF2MLOvJI0qcnu/p+p2vvz8X1McAT83s7eKyVxaWlq5XFJSwp79NimyGeec\nc84555xrXSZOLGPSxKnNHUatvOOlFTOz5yRdLum3ZvYPqJxctwvwcejY2Cu8zkmPFCkDRkjazMze\nltQO2Cj8yP8K6AQsDHmXSmpjZj8AqwOfh46NLUlGp+THtkjS+5IONbOHw61GbULZJo/NzB4CHqps\nSOpqZvOB4ZI6Az2Bp4GHJA0zs08krQl0DG0tAsolrU8yDdSEyCEpD3lz5gM7Ai8BR0Typ8t1zFj3\nJHAGcHqIe3szm5lVUbrjBaDC3q6hWeecc84555xrvUpK+lJSUvVzdOjQ4c0YTTbveGn9fgZcK+kC\nkrld3gFKSToUZpH86H8tlb9ynhEz+1TSb4AxklYJ6/4IvAXcAjwh6QMz2ye8niPpZeB44BRJr5Lc\n8jIlV6ekW4AbzOwV4FjgJklDSeZ2OYJk3pdHmiO2PEdKOgb4DvgQuDzM4fJH4Kkwl8tS4FQzmyZp\nZoj1PeCF1PZeAkw3s/HA/wK3KJkA+BfA34Cx4RalRzPiAJgNVEiaAdwOpDtWLgWGSZpN0jE1n2QS\n31bvk8XxWe7rY+Scu6Pp5dcUprf56YEN3n6WBYvip2FsNvpNL7w6mnfj9dsXpL12/g31imvAFttG\n09daZbtIavwvCbEZ6s84sl8kZ/0N6nF0JPWHRmnL1c1aq8TPpc+WzGniSJpG147xc7wiMv1WY10P\njaeiuQNoduOfLjxv7/374Gje4Y/9q7HDabWuGzupIG2j9oWfe53WaF1PZqmL+eWF+yBL/32b7omC\n+18/qiDtiVPjeTu0Xa2Ro1k2XTrsVJCW9QSl5UGXDgV/52bhktnRvBfd/kRB2iFDT2vwmOqqb58t\nmjuEZuUdL62cmX1EMiFsvl0zilR7JpyZTQQK3rnMbAQwIvX6AuCCVJbor1YzOzG1PA/Yp6XEllfH\nVcBVkfT7gPsi6dHn7pnZkNTyZGCbvCzpX7CDQ77RwOhUue8p3E+TwrrFJBMBO+ecc84555xrhfxx\n0s4555xzzjnnnHONxDtenHPOOeecc8455xqJd7w455xzzjnnnHPONRKf48U5VyOrmvO4UtbkZXWZ\ngG3dVQsnRYPCycDq4qCum0XTLy67ueg6mntitqzJ9cYccEEktX4Ty8aPQXzi49gkiRCPNyvvydv2\njKYXa+ScuwrSBvU4ql51uobREO8JrUnWhJmxyR5P2rbpJsx0DSP2vjZi9m3NEIlb0WW/1+xSkNa/\na/do3tj3uGLrBFi4ZFZR5Ztafb+vxSfsj3/XaAliD5D45RYr1udLXT57WyIf8eKcc84555xzzjnX\nSLzjxTnnnHPOOeecc66ReMeLc84555xzzjnnXCPxjhcXJWk9SXdLmidpuqQXJR1aQ/4ukuaE5X6S\nHmm6aKvFUZ4fTyO1M0rS4ZH0DSSNraXsfElrNVZszjnnnHPOOedaDp9c12V5CBhlZgMBJG0CHFJL\nGctYbkrNGoOZfQgcWVu2pogF4OKyW+tdh1ADRFIoa4Ks+ujSoW80/bqxIxq8rcbSbc14n9yCRVMK\n0hprMrHGOuado8dnYqO05VxLkfW+5JxzLUnsewZAx7btmjiSptJcP1XcsurasV80vcK+beJIlo2P\neHEFJO0NLDGzW3JpZvaemV0fRpL8S9JL4V+N3yglDZF0dur1HEmdJbWTNF7SDEmzJR0RKdtN0hRJ\nsyRdmhrN0l7SM6H9WZJq7BCS9GtJw1OvH5G0p6SVwsiV2aGeMzPKHxvWz5A0OrWqXxgJNC83+iVv\n5M9Kkq4O2zxT0qm5KsP61SQ9JumE8HqgpKmSXpF0g6RcvnJJl4U6Jktat6btdc4555xzzjnXcviI\nFxezDfBKxrr/Aj8xs6WSugNjgD51qDvXvbw/8IGZ9QeQ1DGS91rg72Y2VtLJqbKLgcPMbJGktYEy\nYFyR7aZtD2xkZj1DDJ3yM0jaGrgI2MXMPpe0Rmr1j8xsN0lbhfYfyGvrZKAL0NPMLFXWgI7AvcDt\nZna3pC2BAcCuZvaDpOuBgcBdQHtgspn9UdJVwInAn2vZXuecc84555xzLYCPeHG1kjQijLaYCqwM\n3CppNnAfsFVdqwv/zwH2lXSFpN3NrDySdxfgn2H5nrw6rpA0C3gG2FDSenWMA+A/QFdJ10r6KRCL\nYW/gPjP7HMDMvkiteyikvQbE2t8HuMnMLK+sQtnbzOzuVN7ewHRJM0K7XcO6pWb2WFh+Gdi0rhvq\nnHPOOeecc655+IgXF/Mq8PPcCzM7LUwG+zLwe+BDMztGUhugtpvqvqd6B9+qoc63JPUGDgQuk/SM\nmV2WVzY9SiU96cRAYB2gl5lVSJqfq7eOMXwhaTvgpySjU46UNAR4JLR9Y6TttCUZ8RXjRZJRP2NS\n5Ueb2cWRvEtTyz9Qw3VbWlpauVxSUgKr1DEq55xzzjnnnGslJk4sY9LEqc0dRq2848UVMLPnJF0u\n6WQzuykkdyDpjOgEvB/SjgXa1FLdO8BBAKGjpWtY3gBYaGb3SPoSOCFStgz4BTAW+GUqfXXg49Dp\nshfJ7Tw5iiy/A/wuzJmyMbBTiGFtktEkD0p6E7jTzN4HelVWkNxq9ICka8xsoaQ1c6Nf8sQ6Xp4G\nTpY0Mdw+lC47GBgi6XozOxV4FnhI0jAz+0TSmkAHM3svo+6odMcLwJNTniq2qHPOOeecc861KiUl\nfSkpqZp2dOjQ4TXkbj7e8eKyHAYMk3Qe8AnwNXAeMBO4X9KxwBMhvSb3A8eGCWenAm+E9B7A1ZIq\nSEZ0nAIg6RJgupmNJxldc5eki4AngS9D2buBR8KtRi8Br6XaK3iqkZm9KOkdkpE8r5GM3AHYCBgl\naaWQ94L84M3s35IuByZJ+h6YARxP4ZwxsTlk/gFsAcyWtBS4BRiZiutMSbdKutLMLpD0J+CpEM9S\n4FTgvYy6m4xFms96ms5nS4p/gnd8ZvL6PelowaKyaPoZRxa2deWQh+rVlqu7dzOOT/3U1vfbevXv\n2r0g7Wqea4ZIXH1cXHZLNP3yvic1cSTFWbBoWnOH4FyTi33XWdFkfbdbuGRuE0dSnFi8/v61/Oi0\nxvL3NC3veHFRZvZf4KiM1dulli8M+RcAPcPyJMIvaDNbTHIrT753gYLhGGY2JPXyAzPrCyBpAEkn\nBmb2GbBrRtyd8uMJr4/O2JYdMtLTdd4J3JmXdnxt7ZrZD8A54V86b7fU8gmp5bEko3ui2xSW7yfp\nzHLOOeecc8451wp4x4tryXaQNILkVpvPSUaaOOecc84555xzrYZ3vLgWy8xeIHnks3POOeecc845\n1yr546Sdc84555xzzjnnGomPeHHOuRbkurHxCYZP2rZHE0fSOixYNKW5Q3DOOedavayJaTu2Xf4m\nOU0U/dBQ5xqEj3hxzjnnnHPOOeecayTe8eKcc84555xzzjnXSLzjxTnnnHPOOeecc66ReMeLc845\n55xzzjnnXCNp9R0vkg6TVCFpiyLyXthEMZXXsn47SQc0UFu7S5or6RVJq9SzrjMlrboM5S6RtHd9\n2nZVJL3Q3DE455xzzjnnnGsYy8NTjX4JPA8cBVxSS96LgCsaPSKwWtZvD+wIPN4AbQ0E/mxm9xST\nWVIbM/shY/VZwJ3A4mIbl7SSmQ0pNn9TkiQzq+1Y5LahoiliKoaZ7d5QdV3e94Ro+lGPX110HWpF\ns7536dA3mn7d2BF1qGOnSOrbyxhR3fXft2U+veiMI/tF0//z+cImjqS6+PHKfjpDazJ+/rzmDsE1\ngMv7ntjcIdRJ1jXlnFu+ZV37C5fMbeJIilP/z/lafyK4ZvTVF98UpM0vjz/5s7V8brXqES+S2gO7\nASeQdLwgqZ+kSZLGS3pd0kglrgBWCyND7gx5B0qaGtJukKSQXi7pMkkzJU2WtG5I7yLp2ZD+tKSN\nQ/qmId8sSZem4hst6ZDU67vC66HAkaHdIyS1k3SrpDJJL0s6OOTfOhXfTEmb5W3/CcCRwKWpbbpa\n0pwQy5GpffIvSQ8Dr4b2xkuaIWl2iOF0YENggqRnQ7n9wna9JOleSe1C+nxJV0p6CfiFpFGSDs84\nRn+QNC3EPyS1H18L5d4I+2UfSS+E1zuGfEMk3RFieEPSb4uo9/Ww3+cAG0s6KmzjbElXpsqXS/qr\npBlA37yYR4XzYXqo76CQvpKkv4RjMlPSian9O0HSfWG77kzVdWBImy7pWkmPpLbt7FS+OZI652Kr\nrV7nnHPOOeecc61Dq+54AQ4FnjCzecCnknqF9D7AqcBWQHfgZ2Z2IfCNmfU2s2MkbQkMAHY1s95A\nBcnoEYD2wGQz255kNE3uz1XDgVEh/Z7wGuBa4Hoz2w74MBXfrcBxAJI6AbsA44HBwL0hlvuAi4Fn\nzawvsDfwV0mrAacAw0J8OwLvpzfezG4FxgHnhm06HOhpZj2AfYGrJa0fsvcCTjezLYH9gQ/MrJeZ\n9Qz7cDjwAVBiZvtIWjvEtY+Z7Qi8DJydav5TM9vRzMZmHRxJ+wKbm9lOof0dJeVGc2wGXG1mPwa2\nBI4KIz3ODe3m9ABKgF2BwZJ+VEu9mwMjwj74HrgylN8e6JPqCGsPTAn7YHIk/C5m1gfoD9woaWWS\nDr4vzGxnYCfgJEldQv7tgTOArYHNJO2q5NavG4GfhrrWpbju9XSegnqLKO+cc84555xzroVo7bca\nHQUMC8v3Ar8i6diYZmYLACSNAXYHHoBq90zsA/QGpksSsCrwUVi31MweC8svAz8Jy7sAPwvLdwJX\nheXdgMNT6VcCmNm/JF0fOjF+AdxvZhVJc9XsBxws6dzwemWgMzAFuFjJyJoHQwdTTXYHxoS2P5Y0\nkaQTqjzsk3dDvjkknTtXAI+aWW5OEaX2UV+SH/svhv3TFkh3UNxbSyy57dpX0iuh3vYkHSPvAfPN\n7N8h36vAs6nYuqTqeNjMlgKfSXqOpMNjjxrqfcfMpoeyfYAJZrYQQNLdwJ4knVU/kJwTWcYCmNk8\nSW+TdA7tB/SQdETI0ym0+x3J/v0wtDMT2BT4Gng7td/HUNWJV6xYvbGOIgBKS0srl0tKStiz3yZ1\nbM4555xzzjnnWoeJE8uYNHFqc4dRq1bb8SJpTZLRIdtKMqANyUiBRyPZY6MMBIw2s4sj65amln+g\naj/VNFohty6/V+UO4BiSuWh+U0P5n5vZW3lpb0gqIxl18Zikk8xsYg115EvH8nVloGZvSeoNHAhc\nJukZM7ssUvYpMxtI3Nf5CZJ2Am4i2ReDQx1XmNktefm6AEtSSRWp1xVUPy/T+1yp11n15seVNUHJ\nt7XM/xJrVySjhp7Oa7cf1bcnfc5ktf891UecZU1qnFVvVLrjBaDCmm5uEuecc84555xrSiUlfSkp\nqZo5YujQ4TXkbj6ttuMFOAK4w8x+l0uQNIFkNESf8CP8PZLbiW4MWZaqanLZZ4GHJA0zs09CR04H\nM3uP7B/Lk0lG2dwFHE1yGxLACyH9bqpuV8oZDUwDPjSz10NaOcloiZwnSW4nOT1sx/ZmNlNSVzOb\nDwwP83/0BCbWsE+eJ7n95Q5g7bAv/kByy1UlSRsAC83sHklfktxCA/BViGshUAaMkLSZmb2tZH6X\njSKdQ5XMbBrJrT+5dpYAQyXdY2ZfS9qQZHQIZO/jfIeGkTkdgX7A+SST/xZT7zTgWklrAV+SHKNr\ni2z/iLAfuwFdgTdIjtMgSRPM7HtJm5PcnpXlDaCrpM5h1MuA1Lp3gNzcMb1DGzktajZbWw4mH4tN\nDHvlkIeaIRLnnHONrTVNCu9cS5E1WW2Htqs1cSTFiU2oujxMrN/UunTYJZLqf7htDK15jpcBwIN5\naQ+QjCyZDowguYXlbTPL/cK6GZgj6U4zew34E/CUpFnAU8AGIV/WL80zgOPCLR8DgTND+lnAqaGe\nDdIFzOxj4DVgVCp5ArC1wuS6wKVA2zAB7FySyXchmYB3bpgAdhuS0TNIelTSj/JjNbMHgdnALOAZ\nkrlfPo5sRw9gWqh3MJAb7XIL8ISkZ83sU5L5acaE7ZoM/Dhj/0T3VxgZcg8wRdJs4D6gQ6RMTb/s\nZ5N0Nk0GhprZR8XWa2YfAReE8jOAl8xsfKxNJY/E7p9Kepek4+ZR4ORwu9M/gH8DryiZvPdGkpFW\nBZse2l8MDAKelDSdpGPry5DnfmDtUM8gkk6a2vZH6+8Bcc4555xzzrkVTKsd8WJm+0TShocf4ueY\n2SGR9RcCF6ZejyXM5ZGXr1Nq+X6SH8mEUQuxdt8hmfw1Z3BuIYwU6U6YeyXk/5xkrpK0UyL1XkXV\nPDLp9INSy8fnrTufZFRIOm0SMCn1+imSjqb8ekeQdFjlXk+IxImZdct7fXx+ntS64VRNQpzWM1Y+\nzM3TM5Vvtpn9ZlnqDfnuJTIfTfoYh9f5j8R+xswG5eUxkol/829Py9+/Z6TWTTSzrQAkXQ+8FPIs\nBn4aib8ytshxOyOW3znnnHPOOedcy9WaR7y0eJL2IRkhcZ2ZlTd3PK5oDTmy5EQlj+1+leQ2rpsa\nsG7nnHPOOeeccy1cqx3xkiV/lEBzMrNnSZ5C45aBmV3STO1mjuBZhrqGUfXkLeecc84555xzKxgf\n8eKcc84555xzzjnXSJa7ES/OuYblT4dwANeNjQ8k7L9vjyaOxLUm/v7R+vhTQZxzbsWxYNGU5g5h\nheEjXpxzzjnnnHPOOecaiXe8OOecc84555xzzjUS73hxzjnnnHPOOeecayQ1drxIWis8CvcVSR9K\nej/1uuj5YSRdKumM+ocLkp6X1LMh6moJ6rNvJO0laaeGjilV/2aSZtSzjp9J2iJjXYOcF5LaSPq8\nHuUbKo73JHWKpB8m6ZxIer3ids4555xzzjnX8tXYeWJmC4FeAJIGA4vM7JqmCMwVZW/gU6AxZ8Kz\nZS0oqQ1wOFABvNlgEcUtc5wNKBqDmT2UkV9ZZVZU9x44uCDtwikjmiGS5jP+6TnR9Cv36NdkMVjk\ntDzjyHj7//l8YWOHU2lQj6MjqT80Wfuu7mLn0oonPsHwxWU3N3EcxenSodH+ntNk/LxzdbU8TAQ+\nfv68aPpBXTcrqnzWtb9wydxljqlla13HfFCPgQVpC5fMboZImk/XjvHvohX2bRNHsmzqcqtRtbNT\n0jhJ0yXNkXR8Kv0gSS9LminpiVSRnpImSpon6Xch7+WSTk2VvVLS7yStJOlGSf+W9KSkxyUdUhCQ\ndLSk2eHf5SGtjaQ7JM0K6aeF9N9LejXEdUdIqzbSQdJrkjaU1EHSY2F0z2xJh0faPkRSWdjWJySt\nE9I7SLo9tD8z5Ks2skHSAEm3ROrsHuqaHvZV96y2JHUDfgv8IYxA6ivpzvR+klQe/t8wjBR6JWxP\n30jb20qaFvLMlLRpWNVW0j8kzZX0qKSVQ/7eIaaZku6T1DGkPy/pGknTgAuBA4FrQr2d89sFekua\nIukNScel4jlf0tRQ/x9T6enz7oTIdqwb6tuvlnoGhzb/BWweiQtJ7SWNSu37/iG9TdjGOaHeU3JF\ngN+n9mHu+J0g6e9huVuobxZQmmprH0nPSLpf0uuSbk+tKw3bMFvSyFiszjnnnHPOOedapvo8TvpY\nM/tC0mrAS5LuB1YFRgK7mdn7ktZI5d+cZITGWsBrkm4EbgPGANdLWgk4Augd/t/AzLaWtAHwGnBD\nunFJGwGXhvzlwDOSDiQZAbKOmW0X8uVu/TgX6Gxm3ytyO0iQ+xPJgcB8Mzsw1NExkneSmY0L608G\nziHpaCgFPk61v3pe3fltpd0MnGBm8yXtClwP/DTWlpldKOkfwCdmdl1Yd2pefbk2jgbGmdnVkgSs\nFml7EHC1md0nqS1JJ8ImwI+BAWb273CMDwPGAneGWMuUdHr9CTgv1LWSme0UYvoxcF8u/ohtgV2A\nNYBXJI0HdiQ5VjuHeB+T1NfMyig87/4JLApt/Qh4GDjPzCZJOiBWD8mfyH8G9CA5Z2cCkyOxDQYe\nN7Pjwrk8VdJTwMkk52eP0G76PP/QzHpLOh04O+zX9LEYDvzdzO5V4e1NvYCtgU+AMkk7mdk0YJiZ\nlYa27pH0UzN7MmN/Ouecc84555xrQerT8XKOpIPD8kbAZkBn4Dkzex/AzL5I5R9vZj8An0j6DFjX\nzN6W9JWkbYBNgalm9qWk3Ul+3GNmH0qaFGl/Z+BZM/sckh+kwJ7AX4AtJA0DHjOzp0L+ucDdkh4G\narr1A2A2cIWkP4e4Yz/Ku0j6K/AjYGWqbqX5CXBoLlPYnjYZ7VU1nHTQ9AXuD50EUDUiKautYk0H\nbpS0KvCwmcXGpU0G/hRGujwQjg3AW2b275DnZWBTSWsBq4SOEIDRwB2puu6tQ2wPmdl3JOfFJKAP\nsC+wv6RXSI5Je2ALoIz4eTcLWAV4Gjg5dbz2y6hnXeB+M1sKLJX0SEZsufIXhtcrk5zj+wB/z2XK\nO88fDP+/DBwQqXMXoH9YvpPUqBf4f/buPN6qqv7/+OutkqioOZVlimiaGaDghGZy069lOeSQ8xRW\nagmEB44AACAASURBVNrX+pllpgKipmaTYU5lhJmmfs0J5wEQB0RBBZTMgTDNGVNwQIXP74+9DmzO\n2fvec7jcCd7Px4MH+6y99pr2ucP53LXWZnxEvAIg6TGyr4kJwM6STiALEq0BPAI48GJmZmZmZtYF\nLFLgRdJOwPbA1hHxgaRxZB8KoXzB3Jzc8bxc3ZcCg8g+ZF7UaFOqEyJiprLNd78GHCNpn4g4imzm\nyECyoMjPJPUBPmLh5VbdUxn/kLQl2cyXsyXdEhFnV1X1e+CMiLg9jceJzbRzXlE9BX15LSL6F5yr\nt675/UkziJZL/RktqQnYFRgp6RfAB8ApZDMxvhURl0t6gCwocJuyZT8vsfB9m8uC+9bcwsh3mjlX\nLT/zp7Lnicj6OyKfsYX33YdkM1e+yoLZK2Xl1Gx024w9I2J61fXN5a+MV36s8iIiKn2uLqhmrNPM\nnuHA5hHxsqTTKX7/ADB06ND5x01NTewwcN3m2mpmZmZmZtZljRkznrFjHuroZrRoUR8nvSowM334\n/QLZLAXIPvA2Ke3lIWm1Osr6O7A7sFlE3JXS7ge+mcr4FNlMlmoPpbpWU/aEpQOAscr2WlkmIq4F\nhgD90gySdSNiDFnQYg1gReBfZMtaUPZ0oHXT8aeBdyLir8CvyJYzVVsF+E8q+/Bc+p3A9ysvJH08\nfdCeqewpQcuQLXNZSJo18ZKkPdN10oKnN5XVNSudq5jfH7JNbZdNZa0HvBIRfwT+DPSLiGsjol9E\n9I+IyZJ6RcRzadnSKKBSd2FwC3hXC/aKORQompVU1MZqe0rqJmktsqBKZTbHtyWtmNq/jqQ1KH/f\nQRawORzYTNLxKa2snHuBvSQtn5ad7Uax24H8HkCbp8M7gaPTvaz3fV7xoKT903HtLlm1ViALwryR\nlrzt01zmoUOHzv/X1NTUQLPMzMzMzMy6lqamAQwZ+oP5/zqrRV1qdDNwpKSpwFNkS0CIiFeVbZx7\nQ5oV8B+yWRbV5s9yiIg5yjY4fSl3/mrgy5KeBGYAk4C38tdGxIuSTmXBB/4bI+JWSf2AS1OQYh7Z\nviPdgCsk9SALNp0bEe9IugY4RNLk1IdnU1mbkc10mUc2C+EoAElnAPdFxG3AaWRLlt4AxpAtAyKl\nXyBpCtkMlFPJAhk/Be4AXiFbhrJ8wbgcCFwoaWhq8+Vky57K6roBuEbSXsCxwMVkY78r2T2qzKDY\nCThe0ofA22SBkmoHSTqQbObIi2RBq7Uof+rOYamt3YFnyGYtUZD/SuDiFAzZkyzI8X5E/Cmdn0oW\nCFkdGBwRrwG3KtsbZnx6H70NHETJ+65Sb0TMk7QfMErS2xHxR0mbVJcTEQ9Luj6N7ctkQTwAJB2T\na98w4Lfp/aHUz73SOG8ETE5jeiHZ/jz1PEbhB2RL3k4Cyva9gQXv85nKNoOeRvb1NL6Za7q8/W8Z\nVpO2wWqrt7rcI3v3qUk7u3TFYccqe3qQmXVVxT8azhxwZE1aZ33S0dKmkZ87tx07qCbtp+PK/hZV\n67X3ix9Mucbymxem16/jn+zkn2dtZ8bsB9ug1OKdEVZfvm9hunVeP//WLq26fv+Ne9ekXTy6/o8g\nv360LR+423XVHXiJiNNyx3OAwjsaEbcCt1alnVr1etPKcZo1sDUL74syT9LxKTiyJtmHzanp3A65\nfFcAV1SV/SjFM1S2L2jru2T7iVT7T3UfUv5Tcsd/J5utU51nNllQojr9atK+NVXpp+aOp1Mwrs3U\n9RQLZqZUbJM7PiXlGwGMoBkRcSZwZlXy2+TGMiLOyR0/SrYnTXU5O1S9Hke2YWzFBblzC70vqq77\nLfDbglNl30lWT9d9QLY3S6Wc35DbjyWXfjrZ5szV6fn2vQvU/GYcER8BPyxIXy93/FClHRFxaS79\nWRYet8Ep/W7g7ly+Y3LHJ5Ft3GxmZmZmZmZdTGs21201Sb3J/up/VUT8q+r0rWkZyHJkMyHeaO/2\nmZmZmZmZmZm1RocGXiJiKrBBybmifV3MzMzMzMzMzLqMRd1c18zMzMzMzMzMWtChM17MzMzMzMys\nc5o5Z3JHN6HQjNnewLWtrNV964LUP7Z7O6pNn1W8cXnPHkXt7Xw848XMzMzMzMzMrI048GJmZmZm\nZmZm1kYceDEzMzMzMzMzayNLdeBF0jqSrpf0T0lPS/qNpIb2vZF0iaRN0vFJufSekqa0sn0jJO3d\nmjJaKH+IpOPbqvzWkvSNytim16dJ2rGD2jJd0uot5DmpufNmZmZmZma29FmqAy/A34G/R8TGwMbA\nysDP8xkkLdtcARFxZET8I738WfXpRW1YS/UuJfYEvlB5ERFDIuKeDmpLPfey+v6bmZmZmZnZUm6p\nfapRmjnxXkRcBhARIen/AdMlTQd2AXoAy0gaCgwFXgd6A49ExKGpnNHAj4B9gRUkTQKeAE4BlpN0\nCbAd8ALwjYiYI2kz4CJgBeBZ4IiIeCuV9RjwReDK1NSBkn4EfBL4SUT8XdJI4NqIuDG14XLgKmB1\nYA9gRWAD4PqIODHl2QU4E1gWeC0idk7lfyHVuy5wXkQMl9QTGBURfdK1PwJWiohhko4DjgI+BJ6M\niIOqxnUl4Abg40A34NSIuDGVeStwX8F4fAc4MuV/BjgU6Jf6soOkk4F9gMHATWkMpgMjgd3J3sf7\nRsQ/JQ0BZkXEr1N7pgC7pnt3NbBOGoPTI+KaqrYPBIYBs4DPAvdExDGV07l81wGfAbqnMfujpLOq\n7v9zwMyIOC9dcwbwCjC5rA5JsyJi5XS8D7BbRAyStG/q+0fAWxHRhDWk9+DzO7oJdXvuzZmF6ZdM\nrZ1Ad+aArrGL++JywZTLa9KO6XNgB7TEqq3cbcXC9Fj0vz8AoAXferusC6b8tTD9mD6HtHNLlh6t\nfd8UfR9eZ6Xi9/guvx9Rk7Z53w3qrqv46SEwLz6ou4xiHf+187ura59Acs6gr3VAS1rW2u9VbaXX\nygML04vfH8+2sra5rby+9Xr22LYwvexpNq1R9DvFkuJnf76tJm2PYd+v+/rzJ/+p7ry79fpsTdpK\n3boX5v3+PbXtakT518N7rSq3vSzNM16+AEzMJ0TELGAG2Qf5fsDeEfHldHpz4DhgU2BDSdtVXXsS\n8G5E9K8EZYCNgOER0Rt4iyx4AHAZ8OOI2ByYCgzJFdUtIraOiN+k12tHxBfJAgznpLRLgUEAklYB\ntgVuTuc2IwsC9QX2T8up1gQuAfZKde6bq+9zwM7ANsCQ3Eybsp9AJwKbp3KOLjj/HrBnRGwJ7Aj8\nKnfusyXjcW3qcz/gH8C3I+JB4MY0Tv0jYnpBXa9GxBZkQawTStpb6ccuwIsR0S8i+gJlX/lbAccC\nnwc+W7LUa1BEbJXy/kDSagX3/0/AYQCSBBwAVL7Dl9VRPeaV16cCX0njs0dJu83MzMzMzKwTWpoD\nL2VE9oH3zoh4K5c+ISJeioggm5Wyfh1lPRcRlT9TTwTWT4GSVSPivpQ+Etghd81VVWVcDxAR04BP\npON7yT6wrwEcSBa4mJfy3x0RsyNiDtnMi57AAGBsRDyfrv9vrvybI+KjiHiDbEbGJ1vo0+PAFZIO\npjg0vgxwlqTHgbuAT0v6RDo3vXo80nFfSfdKmgwcRG55UQuuKyirWuVPPlOAnSWdJWn7FGQrMiEi\nZqT7fCWwfUGeH0p6DBhPNvNlo+oMETEDeD3NbvoKMCki3myhjrI/T90HjEwzg5baWWpmZmZmZmZd\n0dL8Ie5J4Jv5hBQUWY9sScc7Vfnn5I7nUjx21R+cq6/pXpIvr7l689ddRrYk5wDgWyX55+XaWVZn\nUf6PyJbjVOTni+1KFijaAzhZUu9c0AfgYGBNoF9EzEtLgirXl43HCGCPiJgq6XCgeB5Zedvz9+Mj\nFg4odgeIiKcl9Qe+Dpwu6R7gduBiskDbYLLlP9UWmoWSliPtCGyTlkmNpvy+/pFsZtLaZDNgCsvM\nvc6nzx/ziDhG0lbAbsBESf1zQZyFDB06dP5xU1MTOwxctyibmZmZmZlZlzdmzHjGjnmoo5vRoqU2\n8BIRd6fZD4dExOVpic0vyYIAi7pQ7ANJy0ZEZSZITbAjIt6WNFPSFyPifrLgSb0LF/PljQQmAC/l\nNvctMx74vaSeETEjLY0p/OCevAKsJWk14F2yD/y3pnPrRcRYSQ8A+5Ptg/N27tpVyZYAzZP0ZbIZ\nN0Xtz+sBvCypG1ng5oWUPgtYpYW+VfsXWXCIFGjplY4/RbbnyhWS3iJbznQ62ZIyUp6BwFZpP5p/\np/5dVFX+qsCbKeiyCdlsoorq+389cDrZ11l+I4qtS+p4WdLngKeBvUjjKmmDiHgYeDjt1bMu0GLg\nBWBetHa9r5mZmZmZWefU1DSApqYFH8mGDRvega0pt9QGXpK9gAslDSYLCtxM9mSag5q9auGZCfnj\nS4ApkiaSba5btk/Kt4CLJK1AtgnroIKymn0dEa9KmsaC5Tal7YyI1yUdCVyX9ht5FfhqM/k/kjQM\neJgsCDINID1q+/I0M0hkG8u+LWkL4KiIOBL4K3BTWmr0SOXakv5UDCYLIr0KPET2dCmAvwF/kPS/\nZLOTysY971rgsLSp7kPAUym9D3CupHnAB8D3Sq5/BDifBRvfXl9V323A0ZKeSGU/mLt2/v2PiEMj\n4sM0I+bNtKyopTpOInsPvpry9Ejp50qqLGe6KyIml7S9yxt1Z+0GssftV+8EqM6rbLO4mXMer7uM\nI3v3WVzNWcJ0/IrZJWED2M5qvR5bdXQTWu2YPgd3dBOWOp11o9SlTVf6+d1W38eLNwOt/V2nvU07\n8ZKC1NZvrjtj9oRWl1GkR7cVatJmf9g1NlRd0o2a/kxN2v4b9+6AlnR+S3XgJSJepHiz0pHpXyXf\nWHKzUiLiuNzxjrnjk8g+PFf0zZ37Ve74cbINcavbs2PV6yOqXs+f/SFpRbIP7lfmzle3e4/c8e1k\nS2vy5Z1W9Trf3vPJggPVvlTQ7olkTyUi7RWzXXWepGw8LqJ2ZgkR8QAL7/dyRO7cBrnjiWTLf4iI\n9ykOKj0P3FHSrry38uNWVB/ZcqUa1fdf0jJkM2K+WZW1rI5ryQJH1en7VKeZmZmZmZlZ19Dxfyq0\nhknaiWyPmt81s0msdSBJnydbMnRnhNf7mJmZmZmZLa2W6hkvXVVE3E19T1WyBlTPbGplWdOADduy\nDjMzMzMzM+v8POPFzMzMzMzMzKyNeMaLmXUau+3cNhvIFm3wd/aQ6wtyto0Zsx8sTF+524rt1oYl\n17yWs7Qxb+Rp1jGKNy6F195vmw0+zcpMHfb9jm5CQz5/zpE1adNOvLAw7+rL9y1Mb62in51lvy8V\nfa2vsXzt5rpttbmv2eLgGS9mZmZmZmZmZm3EgRczMzMzMzMzszbiwIuZmZmZmZmZWRtx4MXMzMzM\nzMzMrI048NKOJM2VNEnSVEmPSjo+d24LSb8tuW66pNVbKHuR80jaXdJP6u1HSdmfknT1Ilx3iaRN\nWshzlKRDFr11ZmZmZmZmZh3DTzVqX+9ERH8ASWsCV0paJSKGRsREYGLJdfU8MmOR80TETcBNdVxf\nXnDES8B+1emSlo2Iuc1cV7utem2ei1vTNjMzM+vabp7+bE3arr2K8/botkIbt8bq8burx9aknTPo\nax3Qkpa19ul0vQefX5j+zm+Kn7zVlSyjki+0Aj17bF2TVvakIaFFblNb2q3XZ2vS/PRCWxw846WD\nRMTrwJHA9wEkDZR0UzpeXdLtkqZI+gMs+M4k6WBJD6WZMxdKqpxTOt9T0jRJl0t6UtLVkrrn8hwn\naaKkxyVtnK45XNLwdLxvqvdRSWOq2y3pLEnH5F4PkXR8qndKrrwbJN0N3KXMBak9t0u6WdLeKe9o\nSZVg1CxJZ0h6TNIDktbK15GOvyNpQmrfNZW+SRoh6TxJ90t6Jlf+SpLukvRI6vMeRfdD0mqSrkt5\nHpDUO1f3ZSntKUnfyV1zbhqrxyXtl9LWljQ23Z/Jkr4oaZnUvskp7w8K+r6GpOm58btO0h2SnpN0\nrKT/l8p8QNLHm393mZmZmZmZWWfhwEsHiojpwDKVAAMLZqQMAcZFRB/gOmA9gLQkZ39guzRzZh5w\ncEHRnwPOj4hNgVnAMblzr0bEFsBFwAn55qT/TwW+EhH9gKIgxVUsPLNlP+BvVWUA9AP2jogvA3sD\n66X2HAZsW1AuwErAAxGxOTAO+G5BnmsjYuvUvn8A386dWzsivgjsDpyT0t4H9oyILYEdgV+V1H0a\nMCkiNgNOBv6SO9cHaAK2Awan4MreQN90j3YGzpX0SeAg4LZ0fzYDHgM2B9aJiL6p/BElbciP3xeA\nPYGtgTOB2anM8WRjaGZmZmZmZl2Alxp1vKJ5djsAewFExC2S3kzpOwH9gYfTTJfuwMsF1z8fEePT\n8eXA/wK/Tq+vS/9PrNRR5T5gZNqv5e/VJyPiMUlrSVob+AQwMyL+I6lnVdY7I+KtdLw9cE26/hVJ\nowvqBZgTEbfk2vc/BXn6Sjod+DhZoOb23LnrUx3TJH0ipQk4S9IOZIGqT0v6RES8WlXu9mQBIiJi\ndJp11COduyEiPgDekHQPsE3Kf2XK/2qaHbQV8DDwJ0nd0nWPS3oO6CXpPOAW4I6S/ueNjoh3gXcl\n/RcYldKnkAWCCg0dOnT+cVNTEzsMXLeOqszMzMzMzLqeMWPGM3bMQx3djBY58NKBJG0AfBQRry1Y\nMVScNff/yIg4ucGq8jMp5qT/51Jw/yPiGElbAbsBEyX1j4g3q7JdA+wLrE02A6bIOw22EeDD3HFh\n+8hmi+wREVMlHQ7kF8/OyR1XxuxgYE2gX0TMS8t5uqflUt8lG5tdW2hXfvxEFsCpJoCIGCfpS6nM\nP0v6VURcLmkz4KvA0WRj9x3gIxbMOuteVV6+L5F7PY9mvm7zgReAeVG7Jt7MzMzMzGxJ0NQ0gKam\nAfNfDxs2vANbU86Bl/aV36tlLeBCoOidcS9ZwOBMSV8jm90BcDdwvaTfpmDNasDKEfF81fXrSdom\nIh4iW/oyru4GShtExMNks2p2AdYFqgMvVwN/ANZg4cBHmfuBwyRdRjZLpgn4a1H1dZTVA3g5zSg5\nGHihJF+lrFXJllfNk/RloCdARFwAXDA/s3QvcAhwhqQm4PWImJ0CYt+QdBawMll/TyT72jky9WkN\n4EvACZLWA16IiEvT/jP9Jd0CfBgR10n6JwuWMf0L2BJ4hCwYY600Y/b4ljNZizrrhndFyjbts3Kj\n7pxSk/alQZ/pgJYsHco2ppwX/2rfhnRxu/basN3q8teILS7TZ9VuMNyYT5ek/6uV5RZZtg3KbMwl\nU2u/9gDO2vbAglT/cdG6Fgde2ld3SZOAj5HN7rgsIn5TkO80siceHQA8ADwP85fQnALcIWkZ4APg\n2HQ+PyvjKeBYSSOAJ8j2c4H6nnx0rqSN0vFdETFZ0qeAP0TEbqkdT0pamSzA8EodZV5Ltr/KE8C/\nyZYRVZYh5dtUT/sGAxOAV4GHyIIhRddWXv8VuEnS42QBjmkl5Z5GtkTocbLZOvl9VCYDY8gCLMMi\n4mXgOkkDgMfJZqH8OC05Ogz4saQPyfbXOQz4DDAi3bMAfprK/SVwtaTvAjc302dvpW5mZmZmZtZF\nOfDSjiKiWzPnxgJj0/FMsmUpRfmuIe2XUpW+AUAKiHwUETUbsFbypOOJZMEQImIkMDId71Nw3Utk\nS4/yaX2rXs8A+laXl16HpB9HxDuSVicLmExJ53bM5Vsld3wtWcCGiDgtl34RCwJJ+fqPqHq9Svr/\nDbJNcZuVllMV7XkDMDkivlVwzYlks1/yaZcBlxWUsUXB9U+RbcBbMTilV49f/r4tdM7MzMzMzMw6\nNwdelkydcYbEqPQY5G5ks0aqN7c1MzMzMzMzW+I48LKEyc886UzSY6W7nPxsGzMzMzMzM7NGLdNy\nFjMzMzMzMzMzWxSe8WJmZguJTrlasVjPHlsXpnelpx2tvnzZJMXipzssTcruY88e27ZzSxbdSQ/+\nrDD9zAFHtnNLFt1x+xU/wPC5N2e2c0vMljb/ace65rZjXcWO7N2n3eo6ps/BhekXTKl98Gp7PlWt\nTFG7Dti4/cbLWs8zXszMzMzMzMzM2ogDL2ZmZmZmZmZmbcSBFzMzMzMzMzOzNuLASzuTNE/SZbnX\ny0p6TdKNHdmutibpOElPSvpLB9V/uKTh9aabmZmZmZmZLQ7eXLf9vQP0lrR8RMwBdgb+vTgKlrRM\nRMxbHGUtQt3LRkRzu3J9D9gpIhbbLmF11FmtbMfQDt9JdBH6YgV69hhQcqbrbFI66s7itj42+bma\ntGknFm8sa13LzDmT27W+3Xb2ZnztqT03i2wrv7t6bGF6e76Xeq1cu8Hv9FnF7WrEWt1rv4/6a2Tx\nKNuUuSu5ZGrrfn8oet92pd9JAF5//4aObgJts8lwh3xkWmRFmwG39+8P1jqe8dIxbgF2TccHAldW\nTkjaStIDkiZKuk/SRil9GUnnSpoi6TFJx6b06ZLOlvQI8E1Jm0l6MOW5VtKqKd9oSb+V9KikyZK2\nTOlDJB2fq3+KpPUkrShpVC7/vtWdkDRC0oWSHgTOaaasC4ENgFsl/aCVdQ6UdK+kG4AnUtrBkh6S\nNCm1Ryl9kKSnJI0HvtjSTZG0q6T7Ja0uaTdJ49N9uEPSWrnxujSN5zOS/jd3/amS/pHad0Wlj5K+\nI2lC6tc1krpXjd/4NH6rSbpO0uPpPdAn5StMNzMzMzMzs87PgZf2F8DfgAMlLQ/0BR7KnZ8GbB8R\nWwBDgLNS+lFAT6BvRGwO5J8p9npEbBkRVwOXAT9OeaamMipWiIh+wLHAiGbaB7AL8GJE9IuIvsBt\nJfnXiYhtI+KEsrIi4nvAi0BTRJy3GOrsB/xvRGwiaRNgf2C7iOhPFr4+WNLawFBgW2B7YNOSsgCQ\ntCfwE+BrETETGBcRA9J9uCqdq/gc2UylbYAhabnYVsBeQB/g68CWufzXRsTWaez/AXw7d26dVM8J\nwGnApIjYDDiZ7F7STLqZmZmZmZl1cl5q1AEiYqqk9clmu9wMKHf648BlaaZLsOAe7QRcGBGVYMZ/\nc9dcBSBpFWDViLgvpY8Ers7luzJdO07Syil/tUpbpgC/lHQWcHOuzGrXNNNVVR2rhXz11jkhIp5P\nxzsB/YGH00yX7sArZEGR0SmIgqSrgI1KytuJLFDylYiYndLWlXQ18CmgGzA9l//miPgIeEPSK8An\nge2AGyLiQ+BDSTfl8veVdDrZvV0JuD13Lj9+2wN7A0TE6DTzZuWS9B65ts43dOjQ+cdNTU3sMHDd\nki6bmZmZmZl1bWPGjGfsmIdaztjBHHjpODcC5wJNwJq59NOBeyJib0k9gdF1lPVOnXVW72USwEcs\nPPOpO0BEPC2pP9nsjTMk3RURZ7RQd2FZBeqp83RJ95AFKS5ObR0MzKqqU8DIiDg5X4Gkb1Ae6Kn2\nLNCLbCbLxJQ2HPhlRNwsaSALzxyakzueS8tfRyOAPVLA7XAgv+A335eivWaK0kr7lQ+8AMyLZ1to\nmpmZmZmZWdfU1DSApqYF+zwOG9Y5n5vipUbtr/Kh+U/AaRHxRNX5VcmW5QAMyqXfCRwlaVnI9v2o\nLjgi3gbelFTZz+RQIL/z3P7p2u2BtyJiFvAvshkjpKBHr3T8KeC9iLiCLEDUv46+FZZVb76qOn8J\n9IuICWnpUf+IGFVQ1t1ke9tU9mBZTdJ6ZMu3dkivuwE1+8VUtWcfsplGn09pq7BgJ6/Dm7m2cj/v\nB3aXtLykHsBuuTw9gJdTO2p3xlpgHHBI6kcT2RKy2QXprxXNdjEzMzMzM7POxzNe2l9lqdCLwPkF\n538BjJR0CtkypIo/AhsDkyV9APwBuIDaGRGHAxdLWgF4joWDN+9LmkR2349IadcCh0maQhaseCql\n9wHOlTQP+AA4GkDSacDDKQhSXXdZWVTlrbfO7xWMz0IiYloaqzskLZOuOzYiJkgaCowH3gQeq1wj\naXdgi4gYmivnn5IOBq5J508D/k/STOAeYP2yJqTrH1H2SPDHyZY6TQbeSnkGAxOAV1N/Vy4YE1Kd\nf5L0ONlMmErAZ2hJui31lu3oBjRkvcKnTo1p72bYUiQ6/qF1pU9FOXPAtu3ckq5tcTzBqMhr709o\nk3Kta1HJZOKip5IVPeWr7AlObfW+vWDK5W1S7tLkgilXtpypi/r5t3bp6CZYAQde2llE1OyrEhFj\nSTNTImI82ZKXisEpfS7wo/Qvf+0GVa8nk20oW+TyiDi+Kv/7wFcL8j4P3FHQ1iG54yOqzpWVtVA7\nG62zqpz5Y5VLu4aCvWYiYiTZPjfV6TcBN1XniYjHgN4p23Sy5WDV155W9bpv7uWvImJYCnrdS1q2\nFBEXARcVlFU9fm+SbdBbna8w3czMzMzMzDo/B16WHh3/Z78l3yWSNgWWB/6cAjlmZmZmZma2FHPg\nZSkRETt2dBuWdBHR3P4tZmZmZmZmthTy5rpmZmZmZmZmZm3EM17MbIlXtBGemVl7OHPAkR3dhCVC\nr5VrNy9tq41LresZsNXGNWmj7ize2NrMrCN4xouZmZmZmZmZWRtx4MXMzMzMzMzMrI048GJmZmZm\nZmZm1kYceKmTpLmSJkl6NP3/k5Q+WlL/RSxzhKS9F29L24akUZJW6eh2FJF0iaRN2riOWa24drqk\n1RdTO05aHOWYmZmZmZlZ+/DmuvV7JyIWKcCyJIiI3Tq6DWUioj12LowOurbaz4CzFmN5ZmZmZmZm\n1oYceKmfWswg7QycBnwMeBYYFBHvSpoOXA18DXgXOCginkuXDZT0I+CTwE8i4u+SVgJuAD4OdANO\njYgbJa2YylkHWBY4PSKuqWrDCOA9oB+wFvBt4DBgW2B8RByR8l0AbAmsAPxfRJyWZrRMAHaPiKcl\nXQHcHRGXpj5sAawM3AaMB7YDHgZGpH6vBRwcEY9IGgLMiohfp/qmALsCr9fRh4b6L2k08KOIvX0j\nnwAAIABJREFUmFTUr1TmdGAksDvZ+37fiPhnwT08Adgv3cPrKte3lEdSzzQuE4H+wFTgsIh4n+y9\nc5ykheqWtBVwHrB8umeD0rgfDuwBrAhskOr4qaSzgBUkTQKeiIhDq9tmZmady8njLylM99OOzBaf\n8Q/X/ErXrsqennhk7z51pQH8dJyf0mW2JPNSo/qtULXUaN/8SUlrAKcAO0XElmQfwI/PZXkzIvoC\nvyf7sF2xdkR8kSwgcE5Kex/YM5WzI/CrlL4L8GJE9Etl3VbS1o9HxLap/huBX0XEpkBfSX1Tnp9F\nxNbAZkCTpN4R8TZwLDBS0v6pnEtT/vysjQ2BcyPic8AmwIERsT3wY+DkkjZVrq+nD++1ov81/cqd\nezUitgAuSm1dSAqcbZSu7wdsKWn7BvJ8Djg/jfUs4JgW6p4GbJ/Sh7DwTJbNgH2BvsABktaJiJOA\ndyOiv4MuZmZmZmZmXYMDL/WrfODtl/6/pur8AGBT4H5Jj5LNMlkvd/5v6f8rU96K6wEiYhrwiZQm\n4CxJjwN3AZ+W9AlgCrCzpLMkbR8RZfuO3JT+nwK8HBFPptdPAOun4wMkTQQeTe3eNLXj7nTd78lm\ny1TkZ/xMryrz7lx9PUvapFyelvqwTCv6X9iv5Lr0/8SSdn4llT8JmEQWSNmogTzPR8T4dHw5kA/a\nFNX9ceD/0myg31S19e6ImB0Rc4AnS9prZmZmZmZmnZyXGi0+Au6IiINLzkfJ8ZyqMgAOBtYE+kXE\nvLRMpntahtIf+DpwhqS7IuKMgroqZc6rKn8esJyk9YEfAVtExNtpeVJ3AEkCPg+8A6wBvNRM+dV1\nzGPBe+ojFg7sdQeo6sPpku4BbgcuTuMyONXbcP+b61dVu+dS/N4XcFZE/KHgXLN50lKjakX3OV/3\n6cA9EbF3un50Qf7qa5pd8jZ06ND5x01NTewwcN3mspuZmZmZmXVZY8aMZ+yYhzq6GS1y4KV+Le3x\nMh44X9KGEfFs2o9knYh4Op3fH/gFcADwYAt1rEq2NGWepC+TZs5I+hQwMyKukPQWC89IaaTdqwCz\ngVmSPkm290zlQ//xZDMsTgJGSBoQEXPrKLPav8j2dCEFS3qV9SEiTidbtkPKcxyL1v/m+lWP24Fh\nkq6IiHckfRr4ICJez/W5ME86t56kbSLiIeAgYFwL9a0KvJiOB9XZxg8kLVtwT4CFAy8A8+LZOos1\nMzMzMzPrWpqaBtDUtGBBybBhwzuwNeUceKlf97S8RGQzGW6LiJ+lYyLidUnfAq6UtHxKPwWoBF5W\nS0tn3icLvkDt024qr/8K3JTyPwL8I6X3Ac6VNI/sw/7RAJJOAx6OiFHNlDn/OCImS3qMbI+RfwP3\npXI2Bo4AtkqbAo9NfTitqJySPlRcCxyWltE8BDxV0ofvFVzbUP9b6ldz7ZS0BXBURBwZEXemx1I/\nmE38YRZwCNmGwJU6yvLMS308Ns20eYJsP5fmxugXZPvpnALcXJKn+vpLgCmSJnqfl/odt9/AmrSz\nh1zfAS1Zuj0/e3zLmcwWI9X1d4K2VbaRpjVm+qz223h01J1TatK+NOgz7Va/NW7AVhvXpBXdxzJR\n8qtazx7bFqSeX3e5vVau/f3jpAfrv77MMX0OqUm7YMrlrS53aXJMn+JFChdM+Ws7t8SWFg681Cki\nupWk75g7HgNsXVLEuWlz1Py1R1S9XiX9/wbZE4OqPQ/cUdCGIUVlRsQMss1Zi86VzbD4Qi7PCbnj\nDdLhzGbKnF9feprPV+vtQ1V/Gu1//h4U9ivXfiJiItmmvZXjI3PnhgM1YdLKvSnLk5YKfRQRhzVQ\n93iyPWIqBqf0kWRPYKpcs0fu+CSy2UhmZmZmZmbWBXhz3fZRNuPBliy+z2ZmZmZmZrYQz3hpB/kZ\nD7Zkqp5dZGZmZmZmZgae8WJmZmZmZmZm1mY848XMzMzMzLqs8Q//s6ObYNamijb9PWDj1m/eXrSB\n9DF9BtSkXTzaD0hoLc94MTMzMzMzMzNrIw68mJmZmZmZmZm1EQdezMzMzMzMzMzaiAMvZmZmZmZm\nZmZtxIGXOknaU9Kjkialf49KmivpQElXt3BtT0lTSs6dJmnHtml1YyTtLukni6GcnpIObOb8p1oa\ns6r8QyQd39p2pbJmteLaRWqHpMMlDW/wmtGS+jdal5mZmZmZmXUufqpRnSLieuD6ymtJ3wUOiogr\ngSvrKaKk3CGLp4WtFxE3ATdVp0taNiLmNlBUL+AgCsYllfUSsN8iN7R1Cu/DElyvLdEa+bI0MzOz\nRvzlqbr/Ttgmps8aW5he9CQaM+vcPONlEUjaGBgMHJKfzZJmNlyfZis8JWlw7rLlJF0iaaqk2yQt\nn64ZIWnvdDxd0urpeAtJo9PxwNxsm4mSVipo0y7p3KOS7kxpW0l6IKXfJ2mjlP6gpM/nrh0tqX9+\nZkZq14WSxgPnSFpN0nWSHk9l9mmmbWcB26e0H6Ryb5B0N3BX1ZhtKumhlPcxSRuWDPvmqd6nJH0n\n1/YTJE1I1w7JpV8n6WFJU/L5c+fXTOV9rYVyTk513gt8rqhhkiZLWiUdvy7pkHQ8UtJOKds6km5N\nZZ2Tu/aCVO+UfL1V5e+c2vqIpKskrVgyRmZmZmZmZtbJOPDSIEnLAX8F/l9EvJiS87MZtgL2AjYD\n9s0tF9kIGB4RvYG3gH0Kiq+eFVF5/SPgmIjoD3wJeK+qTWsClwB7RUQ/YN90ahqwfURsAQwhC4gA\n/A3YP127NrB2REwqaMM6ETEgIk4ATgMmRcRmwMnAZc207afAuIjoHxHnpXz9gL0j4stV9RwN/DZd\nvyXwQsG4APQBmoDtgMGS1pa0M7BRRGydyt9S0vYp/6CI2IrsfvxA0mq58foEMAo4JSJuLSsn3bv9\ngL7ArqmsIvcBX5T0BeDZNA4A2wIPpOPNyO5LX2B/Seuk9J+lejcDmiT1zhcsaQ3gFGCniNgSmEg2\n5mZmZmZmZtYFeKlR484ApkbE/5WcvzMi/gsg6e/A9sANwHMRUdnnZSKwfsG1KinzfuA3kv4K/D0X\n8KkYAIyNiOcBKvUDHwcuSzNdggX3+xrgdmAoWWChrC/X5I63B/ZO5Y+WtLqkHkVtkwq7cWdEvFWQ\n/iBwsqTPANdFxDMlbbkhIj4A3pB0D7A1WYBjZ0mTyMZuJbIA133ADyXtma79TEqfAHwMuAs4NiLG\npfNfKSlnldSmOcAcSTeWtO0+YCAwA7gI+K6kTwMzI+K9NB53R8RsAElPAj2BF4EDlC1bWw5YG9gU\nmJore0BKu19ZQd3SmBUaOnTo/OOmpiZ2GLhuWVYzMzMzM7MubcyY8Ywd81BHN6NFDrw0QFIT2WyW\nfs1kK5u1MieXNhfoXnDtRyyYhTT/fEScI2kU2ayL+yV9JSL+Wd28gvJOB+6JiL0l9QRGp/L+I+mN\ntFxof+Cokr6800y/VNa2OspaUGjElWk5027AzZKOIgs0fDfV+fWC+pV7fVZE/GGhhkkDgR2BbSJi\njrIlW5Xx/Igs8LULMC5XXlE5PyjpS7V7gWOBdclmA+0FfDNXPtTe/+UkrU82e2WLiHhb0ghq3xcC\n7oiIg+tpSD7wAjAvnq2zC2ZmZmZmZl1LU9MAmpoGzH89bFhDzzRpNw681CktVfkTcGBEvNtM1p0l\nfZzsg/aewKBKEXVUMx3Ygmw2yvylSJI2iIgngCckbQVsAuQDL+OB30vqGREzJK0WEW+SzdiozI4Z\nxMKuAn4CrBIRU2nZOOAQ4IwUgHotImaXtO2FVHeLJPWKiOnAcEnrAX0j4nfABbk8AN+QdBawMtns\nkhOB94Fhkq6IiHfSLJMPgVWBN1PQZROyWSMVARwB/J+kn0TEL8jGu6ice4ERqd6PAbuTzWhZSES8\nkJZ7dYuIf0m6DziBLBjTnFWA2cAsSZ8EvkYKjuWMB86XtGFEPJv2d1knIp5uoWzroo7bb2Bh+pG9\n+7RzS8xscejZY0DLmaxFvVau/d5YtvGo2eKywzodO3O46H0PMC8+aOeWdD4zZk9oZQn1fDTrPI7p\nU/s32JlzJhfm/dmfb6tJ22PY9wvzzphdO5H+5un+w21bcOClfkcBawEXpkBAZdbF36ryTQD+DqwD\n/CUiJqXZJmVPtcmnDwMulfQWMCaX/kNJXyabKfEEcCuApElpH5XXJR0JXJeWo7wKfBU4Fxgp6RTg\n5qp6rwXOS3W21C7I9nj5k6THyWavHNZM2wKYK+lR4M/AmyV1AOwn6VCyQMdLwJkl+SaTjckawLCI\neBl4OQVWHkz3ZBZZcOg24GhJTwBPsfDSnIiIUPa46xskvR0RFynbbHihciLiUWWPvZ4MvEJ2bwFI\nM3MiIi5JSeNZMFtpHPBzsiVIRSI1ZLKkx8j24vl3Vf5KntclfQu4UtmGzEG254sDL2ZmZmZmZl2A\nAy91ioizgbNLTv8id/xCROxdde0Msk1VK69/lTs+Ind8HwVPzomI40ra1D93fDvZzI38+fFV5Q3O\nnXuVbBZHPv9IYGR1u9LrN8mW0NTVNmCnqteVzXgXGo+IOAc4h2ZExGnNnBsOFM0n+3pBGhGxSvr/\nA7IZJpX03wG/K8j/c7IgSnX6xVWvD88dP0juays/run1Hrnj6plIlfQdc8djyPa0MTMzMzMzsy7G\nTzUyMzMzMzMzM2sjnvGyGFXPbDAzMzMzMzOzpZtnvJiZmZmZmZmZtRHPeDEz60See3NmRzehi/Hf\nD8qUP02n6zwJpmeP+re3Uhd7QoV1Xrvt7KfImXV2RT8fWv+koyXDz7+1S0c3wQr4N1YzMzMzMzMz\nszbiwIuZmZmZmZmZWRtx4MXMzMzMzMzMrI048NIASXMlTZL0mKRHJJUtoM9fM6s92tZCGzaT9LUO\nqHeEpL3bsPzpklZfDOVsL2lqureflnT14mhfrvyBkm5q8Jo2HTszMzMzMzNrH95ctzHvRER/AElf\nAc4Gmlq4Jtq6UXXYHNgSuLXeCyQtGxFz265Ji8XiGtuDgZ9HxBXp9X6Lqdy8zvA+sA5StkHozDlT\n27klHWvU9Gc6uglLlRmzx3d0E9pVFHyb9Ya7S6fZH77XqutH3TmlJu2q3wwuzDv8lntbVdeS7HdX\n127kfc6gdv87oNlS52d/vq0mbY9h3++AllieZ7w0Jv8b3KrATABJK0m6K82CeVzSHjUXNpNH0sGS\nHkozLi6UpJQ+S9IZaYbNA5LWSuk9Jd2d0u+U9JmUPiJd/7Ckf0j6uqRuwDBgv1T+vpJWlHSppPGS\nJkraPV1/uKQbJN0N3FVPv9J10yWdI2lyKnOD3OmBku6X9ExlBoekkVX9v1zS7pI2zY3DY5I2TOev\nS32aIuk71fcjjceUXHk/kjQ4HR8n6YlU3hVUkfRtskDL6ZL+ki8rjce1km6V9JSkc0r6P0pS73Q8\nSdIp6fi0VD7AypKukTRN0l9y156a+jxZ0kUl5feXNCaNwa2SPlmUz8zMzMzMzDofB14as0L6YD0N\nuAQ4PaW/B+wZEVsCOwK/Krj2/aI8kjYB9ge2S7Np5pHNwABYCXggIjYHxgHfTenDgREp/Yr0uqJn\nRGwF7AZcTBacGAxcFRH9I+Ia4GTg7ogYkNryS0krpOv7AXtHxJfr7FfFmxHRF/g9cF4ufe2I+CKw\nO1AJXFwKDEr9XwXYFrgZOBr4bRqHLYEXUv5BqU9bAT+QtFpB/WUzSk4ENk9jdXTNRRGXAjcCP46I\nQwvK2gzYF+gL7C9pnYI67gW+lPryEfDFlP6ldA6yWUfHAZsCG0raLqUPj4ht0titKGnXfMGSliO7\nv/ukMRgB/Lykr2ZmZmZmZtbJeKlRY97NLTUaAPwF6E0WwDpL0g5kgZNPS/pERLyau1ZFeYCdgP7A\nw2mmS3fg5XTNBxFxSzqeCPxPOt4W2Csd/4UFAQ2AqwEi4hlJzwKbFPTjK8Dukn6cXn8MWC8d3xkR\nb6XjevpV8bf0/5XAr3Pp16f2TEv9JSLulfR7SWsA3wSujYh5kh4ETk4zeK6LiMq6hB9K2jMdfwbY\nCJhQ0IYijwNXSLq+0pYG3R0RswEkPQn0BF6synMfWVDlX2QBpP9Jgaz1I+JpSZ8GJkTES6mcx4D1\ngQeAndJ9WBFYDZiayqj4HNl77M70/lgG+E9ZY4cOHTr/uKmpiR0GrrsIXTYzMzMzM+v8xowZz9gx\nD3V0M1rkwMsiiojxktaUtCawK7Am0C8FEKaTBVDyDi7JI2BkRJxcUM0HueO5LLhfze0Xkj+nZvLu\nExFP5xNSMOmdOtrcUr354zlV7am4DDgUOAD4FkBEXClpPNlsnVskHZnK2hHYJiLmSBpd0IaPgGVz\nr/PndwV2APYgC+r0Bm4BPgE8EhFHlvSnqP1zgeVSEGhIatt3gIfJZug8C9wJrEE2O2liC+UsTzZD\nqH9E/EfSkIK+CZiaZg21KB94AZgXz9ZzmZmZmZmZWZfT1DSApqYFz7wZNmx4M7k7jpcaNWZ+4CAt\nEVoGeINsv5dXU3Diy2SzIqqvKctzN/BNLdi/ZTVJ61ZdW+0B4MB0fAjZMqSKfZXZEOgFPAXMAlbJ\n5bmdbIZGpS+bl9TTXL+q7Z/+PwB4sCRPvj8jgR8CERH/SO3oFRHTI2I4cAPZ8p5VyZYxzUljXvQk\nqVeAtdLYLU8WuKlYLyLGAj8lG4MeEbFLWnbVUtClUERcHxH9UhmTIuJD4N9kS5IeJJsBcwILlhmV\n6U4WvHlDUg+y2T/Vnkp9GwDZ0iNJmy5Ku83MzMzMzKz9ecZLY7pLmsSCAMJhERGS/grcJOlx4BFg\nWu6ayuyPwjxpCc4pwB2SliGb5XIs2Qf5stkqxwEjJJ0AvEbaLyV5nmwZzsrAURHxQZol8tPU9rPI\n9qY5T9JksuDRc2QzQqqV9kvSzcC3I6KyLGq1lO99suBLvu/VY0FEvJr2yrkud34/SYcCHwIvAWcC\n7wJHS3qCLAjxYHV5EfGRpGFkM09eqLQz7Y9yedp7RcB5EfF2QT/rfeJQc/nGATumANE4YB0WDojV\nlBMRb0n6I/AEWX8nFOT5UNI3geGSViWb2fNb4Mk622ydwIzZxSvjVu62Yju3pGMd0+fAmrRxL5zb\nylI7/qk1nfXJOT17FMWpAWqfNNJaRU8Ugs47Nu3pL09dU5h+6Ofa4gF6i8OyLWcxq8Nx+w3s6Ca0\nWu/B57fq+tfer3dlfLHzJ/+p7ry79fpsYXrR9+dpJ15SkLOzP8zUrGtz4KUBEdGtJP0NYLuSc6vU\nkecaoOY3s8q16fha4Np0/DzZ3jBF7oqIY6rKeROofp5t0UazI8lmolReN9fmXauSzo2Ik6ryHFHW\nH0krAp8l2xOmcv4cFt6vpuLrJW3YIHd8PlD00/FLRdeWtTMiZpDNtCkaj8KnOqVzg8k2MSbt5bJs\n7txYcp90IuK43PGpwKkttGky0PV/ezEzMzMzM1sKeanRkqXemRsdWq+knchmbPwuIma1TZPMzMzM\nzMzMOp5nvCxBqmeYtGO9G7Sca6H8d5M91cfMzMzMzMxsieYZL2ZmZmZmZmZmbcQzXsxsiXdk7z41\naWdzfbvV37PHtoXpM+c8XpM26s4phXmv/NqPF2ubOsLzsx9ug1I7fjPAso1lO9qM2ePbra6yTXRb\nOzZlG1OXfU11Rp13E90ynfP93Ige3VaoSZv94Xt1X7/bzrU/M6bPWvybUlvnN3XY92vSGtlwd63u\n1VsswsLPUmje/hv3LkxfY/naB5JeMOXywry79tqwJu3z59Q+2HPaiRfW3S4za5xnvJiZmZmZmZmZ\ntREHXszMzMzMzMzM2ogDL2ZmZmZmZmZmbcSBFzMzMzMzMzOzNuLAi5mZmZmZmZlZG/FTjcxsiXfJ\n1OInBbWf+p+8U/Q0jcyyrSrXbFHMmP1gTVrRE2MWh916fbYmrbVPReqsT5zq3OZ1dANarZEnGJl1\nZsVPRYJ58UE7t8TMWsszXszMzMzMzMzM2ogDL2ZmZmZmZmZmbcSBFzMzMzMzMzOzNuLAi5mZmZmZ\nmZlZG/HmumZmbWzG7AmF6St3W7GBUryRrlmjhDq6CdaMog2VzczqUfa7lVln5RkvZmZmZmZmZmZt\nxIEXMzMzMzMzM7M24sCLmZmZmZmZmVkbceBlMZM0V9IkSVMkXSWpu6Sekqa0YZ0DJW3bVuUvzjol\nzWqL9nRmkoZIOr7Ba6ZLWr2t2mRmZmZmZmbtw4GXxe+diOgfEX2AD4GjU3q0YZ1NwHaNXCBp2fau\nM2nLcWiVxTAmi1OnHSczMzMzMzOrn59q1LbGAX3S8XKSLiELVrwAfANYB7gmIrYAkPRZ4KqI2ELS\n2cBuwEfAHRHxE0lrAhcB66Yyfwj8hyy485Gkg4H/BZ6qzhcRD0oaAmwIbADMAA7ON1bSYcCPgHnA\n5Ig4XNJuwClAN+CNdM2KBXW+APwJWAN4DRgUES9IWh+4AlgJuLGqvnOBXVJ9Z0bE1ZIGAkOB14He\nwCMRcWj1wEpaG7gKWJnsffy9iLg/zaj5A/AV4CXggIh4Q9IGwO+BNYF3ge9GxD8ljQDeBzYHKtf3\nSmO0LnA8MAD4Wurj7hExN9eOZYBnImIDSR9P7W6KiPskjQWOSFm/IGl0KvO8iBierr8O+AzQPaX/\nsVJ0ro6DgePSPXgIOCYiOjQwU7aTfI9uK7RzS5Y8o+4snhz3+cnfq0mbduKFbdIGPwmmcyh64su5\n3NOubejZo3Zi4xtzHmuTukZNf6YmbddeG7ZJXdY5FN3zY/ps1epyi34Wzf7wvbqvL/o+fNXXB5fk\nHlF3uWbNKfz5//W2qWvaiZcUpHatpyf27LF1TZqfdGSdmWe8LH4CkLQc2Yf1ynfRjYDhEdEbeAvY\nJyKeA/4rqW/KMwi4NC0x2TMiekfE5sAZ6fx5wK8jYhvgm8ClETGDLMjymzTT5v6ifLn2fR7YMSKq\ngy6bAj8jCxr0A36QTo2LiAEpOHQV8JOSOocDI1J7r0ivK23+fURsRhYIqdS3D9A3zQzaGThX0ifT\n6c3JAg2bAhtKKppZcxBwW0T0BzYDKp8EVgImpHG+FxiS0i8Bvh8RWwE/BvKfWNeJiG0j4oT0egOy\nGT3fAC4H7o6IvmQBml3zjYiIecA/JH0e+CIwEfiSpI8Bn4mIZ1PWz6V+bgMMyc2uGZTatBXwA0mr\n5cuXtAmwP7Bd6us8qgJm1caMGVOSPr4m7dXJ/6k77/331v5CMH7ck4XX33/v1NrEme+U1PVA3e2a\nMWlGXXmL2l92fXm7ast4+uHpdZdbOAYUj1nR2M7991uF17/73MyatLL+FtVVlrfoPhS1q3AMKb4P\nZX0oalfZPX9/+ps1aWX3oahvRXUVjSEU37Oy8Spqb9k9L2pvUb+KxhuK+1B0fVldZV+nRX0our5s\nDIr6W9aHorxl97GRPhR/r6q/XfWOweJoV71pUP/3urIyGrnnjbSr6Gu6rF1F49XI2Dbyvar4+2oj\n34OL8xb1t6h+KP6+UjQ25e+Z2nIb+d7eyHuxkfdyUd5Gfj6V/cwoKnf2028U5q33+23Z98Xi+1j/\n97WysSkqt5H3TNHYlI1tI++Peu9v+ddYfb8DQvGYN/K+beTnXmu/Rhr53aEsb72/v5R9TynKW/a+\nbeSe1ft7ZNl7uZHxKvo6LctbNA6N/Cwrfn8Vfz2VjU1n4sDL4reCpEnABLJZJZWgx3MRUfmqmAis\nn44vBQalmRP7A1eSBWbek/RHSXsBlT/T/A9wvqRHyWaP9JC0YkEbmst3Y0R8UHDNjmSzb94EiIj/\npvR1Jd0uaTJwAvCFkn5vm9oO8BeyIATp/7/l0smlX5nqehUYQxZ8gCxw8lKa1fEYC8Yq72GycRtM\nFsCpfHqeC1ydji8Htpe0EtlMo2vSmFwMfDJX1jVVZd+aAipTgGUi4o6UPqWkLeOAgcAOwFnAl1Jf\nHs7luTkiPoqIN4BXcvX/UNJjwHiymS8bVZW9E9AfeDi1fUeywFCpssDL2DEP1aS9OqX4m9/YOj/M\nNBR4efPdwrxjxjxYd7uen/R8XXmL2l92fVm7isbr6UeKf7AUldvaX/rnvlD2i23tD6GitpbVVZa3\n6D4UtatwDCm+D2V9KPzFpeSev/+v/9akld2Hor4VB16Kf8kp6m/Ze6movaWBl4L2FvWrkfdM0fVl\ndZV+CC/oQ9H1ZWNQHOAo7kNR+jMl97GRPtT7var0l+A6x6DxdtW+F4va2sj3qka+Xzdyz4vbWvx9\nouhruqxdRePVyNg28r2qzQIvBf0tqh+Kv68UjU15gKS23LL3RyOBl6IyGnkvF+Vt5OdT2c+MonLf\neaYk8FLn99uy74tF7W3k+1pp4KWg3EbeM0VjUza2jbw/6r2/ZdcXfe2VfY0UjXkjv5M08nVaPAb1\n11X2M6fer5Gychv5faAob9n7tpF7Vu/vkQ0FXkrGoOjrtCxvYeCl9GdZ7b0sGpuyr6ey90Jn4qVG\ni9+7aWbCfJIA5uSS5pItLQG4lmxWxmiyZTVvpmu2JvvQvS/w/XQsYJuI+LCg/IWSmslX/Of9csOB\nX0bEzWkZ0JCSfM0tfamca279Qv5c9Vgtl8bj4v/f3r0H3XPX9QF/f7ijcocBZgTiVKe1BmqQa1uS\n1EHLEEgLgpRpIGALGWAGRlBaByFBnOkoIMolFoSAgGCpoEBIi+ESCma4JyRkgFagoaVFbBWNOITC\n79s/dp9fznOe/e4555ff8uTyes2cec7Z893vfm/73T2fZ/ecMa8XtNbOr6qTM1yB8oaqemlr7c0T\n22gZAox/ud4vK9bb5Ookaa21qlptwyOZ3mc+nORpSe6e5PlJnpvhipkPd+p0ZKzTKRkCKQ9srV09\n3oq0Ny5W2+x3W2vP65R9n3POOScXXXRRzjnnnJx66qk5+ZR7bF4JAADgeuiiiz6aiy76WHLObx12\nUWa54uX46wUXJpe31q5O8t4Mt768PknGKzRu31r7zxm+Y2TvVqQ/zjW3AKWq/sH49KpJqRGCAAAV\nr0lEQVQkt13JtpduzgeSPHbvl3RWbnm5bYbvkUmSM1fSr2/z4iSPH5+fkWuCDh9ZWb56i8yHkzyu\nqm5SVXfJcJVI98bM1trHW2snjbc2nV9V90zy9dba65K8NsNVIckwph+zsr2PtNauSvLlqtpbnpXb\nuzbZ5ssuPp7hipoj49VElyY5K8OtTnNulyEgdPV4S9GDJrb7/iSPGdsoVXWHse6T9gIue38BAABu\nqE499UE59dQH5uxznpWzz3nW5hUOS2vN4zg+kvz1xLJ7Zfiy2r3Xz8lw1cbe6wcm+UqSGl/fLcOX\nqH5mfJwxLr9Thtt2PpPks0nOHZf/yLjs0xlu4bljJ93ZSZ69st27Jzl/5fUTMtxOc0mS88Zlpyf5\nYobbZn4tyQc627xHhiDBpUkuzPD9Jslwa87FY9pfWW2fMb/Lx/ceMy47JcPtUHtpXp7kiRNt+sRx\n3U8n+VCSe47Lr0rykvG99yW500of/KexfJ9N8svj8vOSPHol3/U2+uup95K8MMkjVt77UJIXjc8f\nn+QvZvK8LMk9k9wiyQVJrkjyjgzBr5PHNF9Kcsfx+WPHPvnM2A8P6Iy95uHh4eHh4eHh4eHhcWN+\nHHZMYOqx90GfQ1RVz0ly29ba2Yddluu7qrqqtXabwy4HAAAAJL7j5dBV1TsyfFnqTx52WW4gRBIB\nAAC4znDFCwAAAMBCfLkuAAAAwFIO+0tmPDw8lnskuXmS38rwJcWvSPKklffOTPLwtfR/P8nvJfnN\nJL+wku7dSV6W4RekfqiX75j2PUnOTfK8JG9IcvsMv4D1tQzB3hPG/F++kudJvXJl+Mn1W4zPT0zy\n72bSnpnhZ9mT5O8mObuTx2Uz5ZptryQ/mORtSc7fUK6j7TAuu2+S/57klmvp9rVtr2+m8tjQDw9f\nbYeptOOyA/3QKf/W/bChf96d4RfcnrthLK6W4fROH9xtlzaYKMMvztT3Vhl+be6dGX6h7NwMY3+u\nrut5HCjvVN02jYNN68+0zVwbTLX3+vpzbTBV114dptJeMj6/WYYx/fCZ+k7tO725aqty7dgOW7Vt\n5sfiJ9fS9tp2cj/rlLWXR2+uWV+/NydMzoEz+/TGNtyxbXeZ1+bG+L6xsGEentx3e3PaRB32zSkz\nbTO1/d483BvjU/VdPzbMzl9TfdCbJ9b7cYu5fW9enR3LE+PjzUnuOrbHf8jwAwSbjg3P6yw/fUM/\nbDV/9Pps2+PeTNtutZ/vMjaO8Tiw3mdTc8I2c/vpvfU37HdT+W61j/S21dkfdj3mTLXj1uMg82N0\n23OdfedK6Z/fTrZjZzz16tA9Zky0TXc/zcFxt7ENNvTjvraZGgeb8riuPXzHC9ywPSXJBa219yZJ\nVd10Q/qfTvLGvfQrfru1dsH4c+Mvy/CrW718X9Vau2Bc/qQMv1R1JMNk/IAkP5phknxXa+2947pv\nTfKznTL9QYafCH9Lkp/LMAHPuayqnpDhZ75bJ483byrXRL0ypjkjQ7s+fEO5jrbD6AlJnj/W800r\ny9fb9syZuq3nsW3/tk7apyZ5T6cf1su/az/07NX3LVukXS9DstIHrbW/qqqnT9RrSlt5vleG/9jb\nVmvtW0meVlUnJzmxtXbumP/J16a8U2mr6sz0x8HG9Xvbqqq1tzd+B9bUtnptMLX9Xh2m0n6+qh6c\n4QTu4g1lmNp3enPVLuXaqh3Gdtymbef2x33z0sz42no/m8njmZmea9ZNlfesmTrsojdut2nbY9mn\np5ZNjYXePDyVtmeqDlNzypSp7f/rTM/DvTG+aq+++/LdMH/tMk/0+nHKehvMjeWpfH8hya8nuTLJ\nr7XWvj1Rtj29/tq2H3eZP3pj5lj0zkl6+/mxjI1d+ne9z6bmhDOy/dzemwN3Of/Zdh+5qLOt3vZ2\nOeZMteO/6dShZ5c5Ze64tXquNHV+u5p20zGu1w+95bvsp1Pjbps22HQeu3qu9LRM7w+7ftY5NG41\nghu2H0vyiRq8LMkrN6R/bZKHVNXvVNVT199srf1Fhv8WzOX7jKo6t6qekeSDSU5N8uAMPx9+apKH\nZAhwfGLM87tJvlNVvfnoHUn+eVXdPMPPhv/phjq8PclpGf7jN5lHhih9t1wz7fWcJC8fD0CbynW0\nHarqlknunOEk65FThV5p20mdPDb2Q5JzZtKemH4/rPZjtqjvtp5aVR/JcMXQJntluPfKstU+6NVr\n3/q5pg1Wy/DqJL87sa1nrKXtnvnPlHc1j/XyztVtahzssv5U2l4bTOlta6oNeu01VYeptH+Q5Gcy\nfID4414ZZvad3ly1S7l6ptphm7adG4tT81JysG2PZT87msc2c82KqfLueszo6Y2lbdp21326N8b3\njYUNbdMdN1vWbWpO2Wdm+715eHaM79V3Q72m9t1d5oleP05Zb4O5sXwg39ba1zJ8mL51a+3TG7bV\n66/JeXXCVvPHjvvTbFmzv2233c93HRvJbv273mez+//M3H7v3vq7nP/sso/0yjqTx1bHnKnlxzgO\ndplTpsbt1LlS7ziSZP4Y16vDhrrtsp92x92GNth0zFltm97+cLyOW4sTeIEbkKp6QlX9RlXdfVz0\n2SQPaIOfT3Kn9VVWX7TW/qa19suttadkuKxvX7qqulOSb2/I91Wttae31l7VWrsywy08t26tfTXD\nfxpul+TSJPcb87xZkru31o5Mlau1dnWS/53k55P80VS11163DJcaPrOXx0y5LtnQXs9M8uyqOmmL\nch1thwz/2bprhoPBj1TVD6+Xf6Vte/WaymNjP+SaE62ptFek3w+r5T+Wfuh5TZKHJnnYFuvvleHy\nlWVH+2CmXvvWz8GTzde01s5qrZ2/nnavvhv06jqVx3p5e3XrjYNt1++l7bXBVB1625oyVddeHabS\nfivDvvq17P/P3XoZJvedmblql3IdfW/NVDts07ZzY/HAvDRlw362zT62ca5ZMVXeTceMKbuMpW3a\ndtd9ujfG18fCXNt0x82WdZuaU9bz6G1/ch7eNMZX6jtXr23L32vDXeaEfW2wYSz38v1Ski+vLZs7\nNqzP11Pz4gE7zB+7tu2UA227w36+69hIduvf9XHb2/c2ze2Xz6y/y/nP1vvITFl7eWx7zJlavmkc\n7DJGtz3XmTpX6h1H5o5xe3p1mKvbLvtpd9xtaINNx5zVtumdsx7LcetQuNUIbkBaa2/K/ssEX5vk\nJVV1WpLvJvnk2ipPG9/7UmvtJVX1z5L80wz/TbhiJd1ZVfXQJLfJcOD+XzP5Pr2qHpHkL1trz0vy\n9ST/d+X9L4zleum4/k9kuBe9W64M3xXz3iT3mKj20bRJ/nxshz+pqmdnuBRyz3oevXLNtdffZrgk\n841V9esbynW0HTLcj/vI1trVVXVikn+V5JfGdOtt22uDR03k8YJOeacuwZ+q21w/rPdjNtR3vby9\ncqS19q2q+lhVndZae09n/d5tMet90Ouz3vq95VP17Zmqay+PfeVtrX2qU4beONh2/QNpZ9L16jC1\nrZ6puvbqsJ62jY/nttZaVT1xpg5T4/6XZuaqXcq1VTt0lm27jx3VmZemvCHT+1lv3K2abK/O+r05\nYW4OnKr3LmNpm7bdZZ+eG+PrY2GubabGTa+9j2k/S/KgzvYn5+HOGJ/a1ly9puxS/l4/rq/Ty+MN\nmR7Lu8w1U/0w1V9bz/k7zB9zbbvN9uba9g3ZsJ9n+M6KbcfGnm37d5c5bGoO3Xb9uTZcz/elnbRT\n+8jbOmWd2t7nsuUxZ2quyvBB/rSZfWzbMTqVtjtGVs+VVpZNHUd6x7jVvHv9MNc/u+ynU3P7xjbI\n8N0svWPOetv0zlk3HbeuM/ycNHCoqurFGe5Jv+ywy3Jjph8ADpd5mB5jY6AdSK6/40DgBQAAAGAh\nvuMFAAAAYCECLwAAAAALEXgBAAAAWIjACwAAAMBCBF4AAAAAFiLwAgAAALAQgRcAAACAhQi8AAAA\nACxE4AUAAABgIQIvAAAAAAsReAEAAABYiMALAAAAwEIEXgAAAAAWIvACAAAAsBCBFwAAAICFCLwA\nAAAALETgBQAAAGAhAi8AAAAACxF4AQAAAFiIwAsAAADAQgReAAAAABYi8AIAAACwEIEXAAAAgIUI\nvAAAAAAsROAFAAAAYCECLwAAAAALEXgBAAAAWIjACwAAAMBCBF4AAAAAFiLwAgAAALAQgRcAAACA\nhQi8AAAAACxE4AUAAABgIQIvAAAAAAsReAEAAABYiMALAAAAwEIEXgAAAAAWIvACAAAAsBCBFwAA\nAICFCLwAAAAALETgBQAAAGAhAi8AAAAACxF4AQAAAFiIwAsAAADAQgReAAAAABYi8AIAAACwEIEX\nAAAAgIUIvAAAAAAsROAFAAAAYCECLwAAAAALEXgBAAAAWIjACwAAAMBCBF4AAAAAFiLwAgAAALAQ\ngRcAAACAhQi8AAAAACxE4AUAAABgIQIvAAAAAAsReAEAAABYiMALAAAAwEIEXgAAAAAWIvACAAAA\nsBCBFwAAAICFCLwAAAAALETgBQAAAGAhAi8AAAAACxF4AQAAAFiIwAsAAADAQgReAAAAABYi8AIA\nAACwEIEXAAAAgIUIvAAAAAAs5GaHXQDg+DjhhHu0K6/8n4ddDAAAgMNyZWvthMMuxLpqrR12GYDj\noKpaa19Nsn+fbjmy79U1esuT/fNCL92xbGf/e62X7sC8tLrOcdzOTB771jlQnukybLud1XSrWbeZ\nfti3znrOW6Q7ONdvLsPB8mybbnMZDqyzRbpt672esFfWubY/skUdjrR+HY706rBWtl66I3N1WC1D\np2zbpjsy18fbpst0mxyoa6cOvXbbug5r62ydbos6zPXD6nv7690vz2y61fx6/b1lm/bKtnUdDuwP\nW9Yhm9Md7IfN6dbH376+2zLv/r42V57NeW2b9/b1zv503T6+dm168JDQ2T/XCtQ6eWy/zub11/Po\nr7++Tie/mXllf7lnyrNF+xxcZ/P6B/PorJP9+nn363Ck0yQHyrPjdubLMFOehbZzIF1nOwePN1uU\nYbYjOstnC3Et8z4e63Q74niUZ4t0Bw+01648SXLh59Jaq1zHuNUIAAAAYCECLwAAAAALEXgBAAAA\nWIjACwAAAMBCBF4AAAAAFiLwAgAAALAQgRcAAACAhQi8AAAAACxE4AUAAABgIQIvAAAAAAsReAEA\nAABYiMALAAAAwEIEXgAAAAAWIvACAAAAsBCBFwAAAICFCLwAAAAALETgBQAAAGAhAi8AAAAACxF4\nAQAAAFiIwAsAAADAQgReAAAAABYi8AIAAACwEIEXAAAAgIUIvAAAAAAsROAFAAAAYCECLwAAAAAL\nEXgBAAAAWIjACwAAAMBCBF4AAAAAFiLwAgAAALAQgRcAAACAhQi8AAAAACxE4AUAAABgIQIvAAAA\nAAsReAEAAABYiMALAAAAwEIEXgDgRuCSi79w2EUAALhREngBgBuBSy/+r4ddBACAGyWBFwAAAICF\nCLwAAAAALKRaa4ddBuA4qKqvJbnrYZcDAADgkPxZa+1uh12IdQIvAAAAAAtxqxEAAADAQgReAAAA\nABYi8AILqaqr1l6fWVWv2GH9e1XV5UuVZ2X5WVV1xvj89VX16PH571TV3zte2wd2V1VHquqNK69v\nWlV/XlXv2jGfD1bVfcfn51fVbY93WQEAkuvP56CZ9Ec/E60t/4mq+s1jKcPNjmUlYCtTX6C065cq\nHUhfVTdtrX33OJUnrbVXd5Y/5Ri2ARxf30xyYlXdsrV2dZKfSvI/rk2GrbVHHJeSAQBMu158Dto5\nk9Y+leRTx7KuK17ge6yqfqCqvlRVNx1f32bv9RhFvbSqLknyjJV1zqyqd1bV+5O8b1z24qq6vKo+\nU1U/Oy47pao+NP5H+/NVde7+TdevjvlfXFV3GReeXVXPnijn6n/IH1ZVn6qqS6rqwsUaB5hyQZLT\nxuePT/LWvTeq6vuq6nVV9dFxHz19XH6rqnprVV1RVe9IcquVdb5cVXdc/29SVT2nql4wPv9gVf1G\nVX1izON+VfX2qvpCVb3oe1FpAOCG5Tr4OeheVfX+cfmFVfWDK+v81Hge9PmqOm1lG+8en39/VZ1X\nVZeN6z9qru4CL7Cc76uqT4+PS5K8MElaa3+T5IO55oPUv0jy9jF6e16SZ7TWTprI76Qkj26t/ZPx\n0rf7tNbuneE/4C+uqr2fkr5/hsnqR5P88Mplct+f5OLW2o8n+XCSra5oqao7J3lNkkeN5XrsDm0A\nXDstye8neXxV3TLJfZJ8bOX95yV5f2vtQUl+MsNccOskT0vyzdbajyU5O8n91vKcer7u6tba/ZO8\nOsk7xzzvneRJVXWHa1ctAOAG7PryOegVSV4/Ln/L+HrPvcbzoEck+fdVdYtx+d650/OTfKO1dp9x\n/Q/MNYjACyznb1tr9x0fJ2X48LPndUmePD5/cpLzqup2SW7XWvuTcfmb1vK7sLX2V+Pzf5zxv96t\nta8nuSjDRJMkH2+tXdmG34p/65g2Sb7dWrtgfP6pJCdsWY8HJflQa+0r4/a+seV6wHHQWvtshv31\n8Unek6RW3v7pJP92PKm5KMktktwzyclJ3jyuf3mSz6yss7r+nL3vkbk8yWdba19vrX07yReT3ONY\n6gIA3ChcXz4HPTjXXEn8piT/aGWbbxu38acZzn3Wv/vyoUletfdipXyTfMcLHILW2sVVdUJVnZLk\nJq21z40Tzpxvzrw390FqLyr7/1aWfTe77f/bflADlvGuJC9OcmqSO68sryQ/01r7b6uJqw7sslP7\n8HeS3HTl9a3W3r96/Htk5XkyzCnOHwCAnV3HPgfNXfm7+l5tSLuRK15gOZuCFW/KcEnbecnRKOk3\nquofju+fMbPuh5M8rqpuMt6j+JAkHx/fu/94v+JNkjxuTHttfDTJQ6rqXkniFgP4ntqbR85L8sLW\n2hVr7783yTOPJq768fHpf0nyL8dlJ2a4RWndnyW5S1XdYbyNyZfuAgDHw/Xlc9DFGa4o3tvmavrH\n1uDvJPmhJF9YW/fC7P8umtvPbUjgBZazKSr6e0lun+H7G/b8XJJzq+rTc+u31v4wyWUZbh94X5Jf\nHC+1S5JPJnllkiuSfLG19kdblmc9TRu39X+SPDXJH463M/z+1IrAIvb2w6+21l458f6Lktx8/GK3\ny5P8yrj8t5P8QFVdkeScDPPCep7fGdN/IkMA53PraebKBADQcX35HPTMJE+uqksz/MPqWSvpv5Ih\noPOeJGeNt1uv+tUkdxy/5PeSDFcld9Vw+xPwvVZVj0nyyNbamccxz1OSPKe1dvrxyhMAAOB4uTF+\nDnKPNhyCqnp5koclefhhlwUAAOB74cb6OcgVLwAAAAAL8R0vAAAAAAsReAEAAABYiMALAAAAwEIE\nXgAAAAAWIvACAAAAsBCBFwAAAICF/H/FmyHU++C8NwAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "msa_to_heatmap(myoglobin_msa, hydrophobicity_idx, legend_labels=hydrophobicity_labels, sequence_order=sequence_order[1:])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, if we want to keep only the sequences in some specific taxonomic group, we could identify those names and slice using ``TabularMSA.loc``, which performs label-based slicing. Here we'll get the alignment of only the whale sequences." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "whale_sequence_ids = [e for e in sequence_order if e.endswith('whale')]\n", "whale_msa = msa.loc[whale_sequence_ids]" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAABBwAAAC3CAYAAACxD007AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nsgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "msa_to_heatmap(whale_msa, hydrophobicity_idx, legend_labels=hydrophobicity_labels, sequence_order=whale_sequence_ids)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.5.1" } }, "nbformat": 4, "nbformat_minor": 0 }