{
“cells”: [
{

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“## Analysis of Helical Axisn”, “n”, “* This tutorial discuss the analyses that can be performed using the [dnaMD Python module](http://do-x3dna.readthedocs.io/en/latest/api_summary.html) included in the _do\_x3dna_ package. The tutorial is prepared using [Jupyter Notebook](https://jupyter.org/) and this notebook tutorial file could be downloaded from this [link](http://rjdkmr.github.io/do_x3dna/tut_notebook/base_pairs_tutorial.ipynb).n”, “n”, “n”, “* Download the input files that are used in the tutorial from this [link](http://rjdkmr.github.io/do_x3dna/tutorial_data.tar.gz).n”, “n”, “n”, “* HelAxis_odna.dat input file is required in this tutorial. This file is generated from do_x3dna using the trajectory, which contains the free DNA. These two file should be present inside tutorial_data of the current/present working directory.n”, ” n”, ” n”, “* The Python APIs should be only used when do_x3dna is executed with -ref option.n”, “n”, “n”, “* Additional Requirement: [SciPy package](http://www.scipy.org/)n”, “n”, “n”, “* Detailed documentation is provided [here](http://do-x3dna.readthedocs.io/en/latest/dna_class_api.html).”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Importing Python Modulesn”, “n”, “* [numpy](http://www.numpy.org/): Required for the calculations involving large arraysn”, “n”, “n”, “* [matplotlib](http://matplotlib.org/): Required to plot the resultsn”, “n”, “n”, “* [dnaMD](http://do-x3dna.readthedocs.io/en/latest/api_summary.html): Python module to analyze DNA/RNA structures from the do_x3dna output files.”

]

}, {

“cell_type”: “code”, “execution_count”: 1, “metadata”: {

“collapsed”: true

}, “outputs”: [], “source”: [

“import numpy as npn”, “import matplotlib.pyplot as pltn”, “import dnaMDn”, “%matplotlib inline”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Initializing DNA object and storing data to itn”, “n”, “* [DNA object](http://do-x3dna.readthedocs.io/en/latest/dna_class_api.html#dnaMD.dnaMD.DNA) is initialized by using the total number of base-pairsn”, “n”, “* Local helical axis is formed by two adjacent base-pairs. Therefore, total number of Helical-axis postion is less than one of total number of base-pairs.n”, “n”, “n”, “* X, Y and Z positions (Helical X-axis, Helical Y-axis and Helical Z-axis) of the Helical axis can be read and stored in DNA object from the input file using function [set_helical_axis(…)](http://do-x3dna.readthedocs.io/en/latest/dna_class_api.html#dnaMD.dnaMD.DNA.set_helical_axis).n”, “n”, “n”, “* To speed up processing and analysis, data can be stored in a HDF5 file by including HDF5 file name as a argument during initialization. Same file can be used to store and retrieve all other parameters.”

]

}, {

“cell_type”: “code”, “execution_count”: 2, “metadata”: {}, “outputs”: [

{

“name”: “stdout”, “output_type”: “stream”, “text”: [

“n”, “Reading file : tutorial_data/HelAxis_odna.datn”, “Reading frame 1000n”, “Finishid reading…. Total number of frame read = 1001n”

]

}

], “source”: [

“## Initializationn”, “fdna = dnaMD.DNA(60) #Initialization for 60 base-pairs free DNAn”, “n”, “## If HDF5 file is used to store/save data use these:n”, “# fdna = dnaMD.DNA(60, filename=’odna.h5’) #Initialization for 60 base-pairs free DNAn”, “n”, “## Loading data from input files in respective DNA objectn”, “# Number of local helical axis positions = Number of base-pairs - onen”, “# Number of helcial steps in a 60 base-pairs DNA = 59n”, “fdna.set_helical_axis(‘tutorial_data/HelAxis_odna.dat’)”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Smoothening of Helical Axisn”, “n”, “* The helical axis postions calculated from do_x3dna are localized and do not form a smooth global axis upon joining these positions.n”, “n”, “n”, “* The helical axis could be smoothed by spline interpolation using method [generate_smooth_axis(…)](http://do-x3dna.readthedocs.io/en/latest/dna_class_api.html#dnaMD.dnaMD.DNA.generate_smooth_axis).n”, “n”, “n”, “* A smooth three dimensional curve is fitted along the positions of local helical axis by spline interpolation method implemented in [SciPy package](http://www.scipy.org/).n”, “n”, “n”, “* This procedure might take long time on large trajectory due to the fitting procedure.n”, “n”, “n”, “Warning: Lower value of smooth may lead to an artifact of local sharp kink in the smoothed axis. Higher value of smooth may lead to the calculation of wrong helical axis.n”, “n”, “n”, “—”

]

}, {

“cell_type”: “code”, “execution_count”: 3, “metadata”: {}, “outputs”: [

{

“name”: “stdout”, “output_type”: “stream”, “text”: [

“Fitting spline curve on helcial axis of frame 1000 out of 1001 framesn”, “Finished spline curve fitting…n”

]

}

], “source”: [

“### Smoothening of helical axisn”, “fdna.generate_smooth_axis(smooth=500, spline=3, fill_point=6)”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Extraction of original and smoothed helical axis postions as a function of time (manually)n”, “n”, “* Psotions of original and smoothed helical axis for the given base-steps range can be extracted from the DNA obejct using function [dnaMD.DNA.get_parameters(…)](http://do-x3dna.readthedocs.io/en/latest/dna_class_api.html#dnaMD.dnaMD.DNA.get_parameters).n”, “n”, “n”, “* Following example shows, how to extract the data.”

]

}, {

“cell_type”: “code”, “execution_count”: 4, “metadata”: {}, “outputs”: [

{

“name”: “stdout”, “output_type”: “stream”, “text”: [

“n”, “====== Some Examples ======n”, “Original coordinates of 8th base-step in 15th frame : [ 101.280 173.630 84.670 ]n”, “Smoothened coordinates of 8th base-step in 15th frame: [ 106.443 172.187 85.432 ]n”, “n”, “Original coordinates of 40th base-step in 900th frame : [ 208.140 171.130 79.730 ]n”, “Smoothened coordinates of 40th base-step in 900th frame: [ 205.639 172.066 80.286 ]n”, “n”

]

}

], “source”: [

“### Extraction of original helical axis for 5-55 base-steps segmentn”, “n”, “# X-axis originaln”, “RawX, bp_idx = fdna.get_parameters(‘helical x-axis’, [5, 55], bp_range=True)n”, “# Y-axis originaln”, “RawY, bp_idx = fdna.get_parameters(‘helical y-axis’, [5, 55], bp_range=True)n”, “# Z-axis originaln”, “RawZ, bp_idx = fdna.get_parameters(‘helical z-axis’, [5, 55], bp_range=True)n”, “n”, “# X-axis smoothedn”, “SmoothX, bp_idx = fdna.get_parameters(‘helical x-axis smooth’, [5, 55], bp_range=True)n”, “# Y-axis smoothedn”, “SmoothY, bp_idx = fdna.get_parameters(‘helical y-axis smooth’, [5, 55], bp_range=True)n”, “# Z-axis smoothedn”, “SmoothZ, bp_idx = fdna.get_parameters(‘helical z-axis smooth’, [5, 55], bp_range=True)n”, “n”, “n”, “# Here RawX is a 2D array of shape (base-step, nframes)n”, “n”, “# Some examplesn”, “## x, y, z coordinates of nth base-step in mth frame: base-step index = (n - 5), frame index = (m - 1)n”, “print ( "\n====== Some Examples ======" )n”, “print ("Original coordinates of 8th base-step in 15th frame : [ %8.3f %8.3f %8.3f ]" % n”, ” (RawX[3][14], RawY[3][14], RawZ[3][14]))n”, “print ("Smoothened coordinates of 8th base-step in 15th frame: [ %8.3f %8.3f %8.3f ]" % n”, ” (SmoothX[3][14], SmoothY[3][14], SmoothZ[3][14]))n”, “n”, “print ("\nOriginal coordinates of 40th base-step in 900th frame : [ %8.3f %8.3f %8.3f ]" % n”, ” (RawX[37][899], RawY[37][899], RawZ[37][899]))n”, “print ("Smoothened coordinates of 40th base-step in 900th frame: [ %8.3f %8.3f %8.3f ]\n" % n”, ” (SmoothX[37][899], SmoothY[37][899], SmoothZ[37][899]))”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### To calculate curvature and tangent vectors along helical axisn”, “n”, “* The bending at a specifc position on the helical axis can be quantifed by its curvature. n”, “n”, “n”, “* Approximate bending of a DNA segment could be also quantified by the angle between the tangent vectors of the segment’s end pointsn”, “n”, “n”, “* Both curvature and tangent vectors could be calculated using [dnaMD.DNA.calculate_curvature_tangent(…)](http://do-x3dna.readthedocs.io/en/latest/dna_class_api.html#dnaMD.dnaMD.DNA.calculate_curvature_tangent) function.n”, “n”, “n”, “* Curvature and tangent vectors should be calculated after generating the smooth helical axis.”

]

}, {

“cell_type”: “code”, “execution_count”: 5, “metadata”: {}, “outputs”: [

{
“data”: {

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mw8wdnFSizGwA5Hv4K95y2DDPnAWwBMCxNH4loMIDTALwknT6LiN4noieIaPeI+y4moulENL2pqSlNUwYunusDCqabY3u5IOMs2tHRyT6qL309ZhJsmz8MjJn1Fj0JXmK9FOxIQ0U+r0ZFyQURZAA8DuIOZF7unn/wmgkZk/DeBf8CWoAJj5HmYex8zjRowYUZsO9xR0gUFcSxCcNA5dYfJWE9taHea6o73QyT0xqCRknb9POUrUl5tMhosfkQwCHwLezFIuVAGRpY5R7TldmhctIBgHYkKLuewB8zMy3ixPMLN93L4BflNJpng2j0Npdp6mWpg3rb8/Z0yHyGuXO+b5okbluZ2fP6IqLfldHeuwDGENFoOMxlAoBzlTKTAJwP4G0AnZwN4mRNYMhHdAIc5XaSc34WZV7uHpwP4qIy+G2jQ01f8Ueitz23QvSEPW5sZFmrPddIwnRuV45+Vn2hgz54nocgDPA8gAuJ+Z5xLR9QCmM/MkAPcBeJCIFgLYCIcxAQCIaCmAgQDqiOgMACcC2Or2aR6AnmeSw7jtdT7UriOh0AHm3rgtK7buBHr2V9vb05zZMtWdCXr931idOZDrMvAQAiGg4M69n5o3lNMjMnkwFMVs5dI/1uBfC1iHsbI6rVsmtmvgqOi7dBldAVXDBrCaGO6G3PbdAzIA/bzopOUIwjwf1V64VBnt0VvI73UCeqIzkBvs9X1FgQdCTqnD8Uwnd4x2wyKQi0HbmtHAb97tXP3jghJZ+uODlz79Ac91rtLnfFeqgaX5H++txJYdiTsyDCqA7ibpmKWPQQi1XBHf/eoi3PLcPDw6vfP2jggavGpLKx54exn+NnVZnp/WlJ2Dhum34waOz8MPHZpVVT1u+gIXrmivUq56LoCNB5/TBSDoG5aGGA1eEntne1nnShape295DnJR2Bak/61g5Hal21ubxMlhP/PgfH/3oKtmw3ElMcZOmms+ySxTAdY5A3CKGWw1YQwM60N6japvZ8nzwsTw8x46j1n+1w1tWtzVmzBhpZ2p80y63p7kbMlb3uHiYkXi4B6rXO6kMZlGgDAzB9EXSOiwcy8nuTJdMuhOqOViybI6PxqASoPbe2BssikLmgI2lmNvfRVfGjMC151+QMXasG3GaXe+4R1XatVtnArjnIb+erhyR4DAApwK4A85+lwOUvwMB9AMwuHrdNOiqqJXUcesL83HPa4vdNrsO2jp6nnotX/DfcFvenxuKmFixuaqko01m1ZUfguFz6ZyInJGPW8s14a9F677grSzp/APA9OEE4twKYC2cj5kdwNm4ewszrnqtZDgy6NWi2Wfvvywpq3qYPadE+UdPrU+bkZV2/eEVOydKzZErThVMqTqitkxuyqOOOuNwPHXdmmn8xaAHwOYASd0zR+Z+T+Z+W4AbYbh9Dysb27D4qZ0nkCdMWyLJSzn3z8N976+OLlgCqhNZ6yet8SWn7VQdVVoO55V6y21FfAW7560BqoYu673GzFcA+A4z/xuAkwB8lojedhOlmWVFD8RRN7+MY2+dkqpsnd9iZP2VBE254pjJh91R1YtYqOeN7l0Vb3lcZ2lWiTOrCoVLjKG+4Tmp0ZUkHzLzd/X8jM18JP1DnnTkR0TBX7Z9AJKMYjqxvwnIqiN0g6bdL3VyWSSkHlDeXbdJzvUOgKWcq6CbqspKMDMy9j5m8C+DyAnnxJRumWxgUGJkA3Fxay+f/jY7Ir2QyWOPZHptnX4HKFaRDwk6VSo3moxyZ6Iztp6kJrpkCYeBjPPnYuaTAVwXVcagZ6MziG4xTf595ooKtx1svScarmX1WrWYTqFK6rU7Xvq4IvX0BnQHSecVIvpPItpDnPklEdQAsInoATh4cg16EWq2W5NVMp3qvhSSdnsh0ZPWa81u3nGxpy2PGsk0ltaG+t0q9xWc/WFOhnmno+qmWvS0IxTOdkAAUADxPRKiL6kIgWA/gYjo3ndmb+cxX6aNCF0TmSTtch9D1RmyMzHWHfszRcn5wePzsJZv3sLm9yoAsVA9TQvV2I0Opbi0VnrpWIiErQCuBvA3USUAzAcwA4TiaB3ozPGbSmTZddBnDVVpuyeq12RHkjaP6YTLzV25BQCwvaOAIUW2ob4343RWe6zasgO7DG5ALlNbD8xSHQk6mHm1YTgGntSK6srmwlBb3Htm/Iv0I23QqUm2Xgux2LBiQLo+Q+CalqGkqpdpZuK4Zz32w2kg6JWDCPe/gmqcjno5tVDTXfZEBEJxPRfCJaSEQTNdfriehR9/pUImp0zw8joleIqJmI7lTuOYyI5rj33CEcGohoKBH9ni4g+dv8vdkHWLVFLO0OnqNeKaHS3wX0q2rZKK3uiTUf2ABMRF3REXbiLl7LwqNR7PP7XU3DJX2f2nmuR6lcZznWADqynTIaIMgLsAnAJgLIBziGisUuxCAJuYeR8AtwG4xT3fCuBqAD/SVP07AN8FMMb9nO9k9PxHAS8w8BsBL7nGPR23pYNcmusL7qlJeWCpx7GnqtW2tHfjDFD96gyfpaGi6ULkV+25/+fw8n3PLcvMC5cj+P2Z9TGjZ1QiqIWks6RwBYyMyLmbkdwCMAxitlxgN4wP39BIDjiIiYuYWZ34DDfDwQn0S4ABjLzO+xQhL8AOENT1wPS+R6Jzdvb8ePHZ6O5vXbh3TtH0klfVrjmykRpUVNzIPBhUW0rx6XQnutaOAl6Z1zWjRy1Z3xI47ihEOxJYnqRTXBt3vbIIn2zcHjhXrnOI7Pxwz2uLsHDdtrLq602Yv6a2n76popkMOvkFE17jHexDRESlv3w1O4FCBFe45bRlmzgPYAmBYQp3yZgy5zp2YebX7ew2AnVL2s1vinzpcX4vEZK/C3dz6pWZvl8pxrnv4AjROfSSw3pG+d97sY6UIn6Rx36xSc+8epRfTSh9z0kL65kiSdnG575EN/+87t4f0XXN4nGea+Jc5WQ9spVj7VLe4tumjwPZ//+7XK71Gswe3ltx2Epks7dAD4H4Bz3neBsclVmXhisFaWcHEV1MRNOJaHpTU1ONe5Yer3/chJmfRO+LEDr2WiYWK5fe/OVtJ91zR0K05hEDn6v02i6jfYzoVE8n8egY05Ep6/qXrnVX+5i6Y5VJ9ng43zYHWplNBplMu2pQx3xXfbVdFraM4lMJ0njmTmy+CquZh5E4C6+Fs8rASwu3Q8yj2nLUNEWQCDAGxIqHNURJ1rXfWbUMNpdRrMfA8zj2PmcSNGnjEj5KLXHN++bhq/e/Vbk9WzGIQJJBLySqNSema074omE/EzF0DjhJVUpbym5bYtKI7iCgHc+qQ5Dn7pNFPjHXySHiOR6fvgL5Tk7xMLBPrlPb786oJb0ASmM6Ha5DAAMAEY0AkLbX7wIYQ0Sj3UgGEwBMnUspMgh/Z4GwAL3OMa4urPttKRJ91vda+BeBpTV3nS+d7JETE45oynQpRzq2t8XYomagVw+jEKq5Snq7kgUaYe5zItM1GLCOub2wAEXdYFhGR93xtLcP+bS2rTwQjst/OA0DnjXJAO3YHp3AHgKQAjiehGnAG8AuCnNja6N5nIAz8NJAvcYM88louuJ6HS32H0AhhHRQgBXQvI4I6KlAH4N4AIiWiF5vl0K4F4AnCwEsAvCse/5mACcQ0ccAjnePeyxyrqSjqhqqiUoxnS2Jko7fUDmOBNtay1O7yG1TiZKOX1fXI4pyn1lCZUes2h8p2nqZtbVXtVxJ03+FOKfGfQTRqSS+AIiISAF5Az9fgJHQ7Do7UfQYzp05WwsyTAUxWnzl0j/W4F8LWIexsjzk+HkzZbPb/B7WevQDbTCZJOhZREzRpJ5/dTFqG5NY8fnbRv4JmKWcF66jWXnKJ3zx3fK6icrkkApjKOcuLiLmprx9Hsr8V8nfKqseqIQNXaICFc9+T7OOnQUxjUOBeB7rwHAtgRJntdqQmaXAtKUb4OygMIhDl5Z0XDXXZGaex8x3MfOdxTAcg+oi2w0dCQR0ybdufnYe7nzFWa2WynRUn9doHK7eW082weq2MV13Kq7vogem44+WFWK2ke64UosZOvmDj4WnLA0xbln4eeXc5PlxV+rsd3Lc8nm4xO0hlk7Dyp0KWZjouZRHR4xXtiUDZEDKX2TjbqloIkNVVQ7ZPu+WTngcVNLXjgraUl9S1Qp9TPnUtVrHq2OuPXJmSsi1VWC4VZjYTHzk01YsWm79pqOz2cUSWvOytJdb8uV2t5dGvbqzPTArK4L123Dnsb96FRtLCLIahVouUoEi1WsujgTwDde+0gJnDjEzf7qSHTMoHh7T6YaSjson5ZwuQJCRpuWpqpv0ntZPmltS3AALea3pHgnzBRt5mNOQy2iri6Ovara248rHZOHSPwXjy0s+Hrgu7XaUXFswc6xnZ2uF8nD3k/jbp3p0Oj4kqLaoTZH1OheHtdCXe/sgiL17fg5XnrcPZho5JvSIFyvlspKIXpnFTxXhhUBMJlnuqZMp0I2HVVlJjsW2DYHjNqFlJJONbyXAuo1S+8McOED0zFlQROW3vyVousXWTvXRUg69VmHkQkmnkITHpi/H3iP64bA9h8aWW98cv3LWef+pgkQ5btOV20flowv6aVQMlbTmdWlHAhfnR5y/vpyOGMRDnJm62zQEjroBn0+mGLtOqmkp2LOiw7QADSev+XBWmE5J0wm1MWRC/wVh8OR3DFud0EQAAoC7rUPrtn7emYzk+eeB8AEhngys07UtUXR+3KcUuv9LciSq+G7U6oBh/tDjadFumvACd4Z2MF+2SgwRWPzPJ+nd0RMJkH/0q6CK4FKTQKVYMlESF2JpVXFVGX1LD0xlbhPR9gvdN0T9elclAGf6exIyXTSoq2EMaNKn1OUsdirNdHKWVXO1UXdFl2c6zHyr9HcjgKMB7FXxnhkAAL77l+n49b8W4J+zV3nndO6hgC8tJO15nqSQqtddEZSQyw1CZaGpJpwpEpxIRCQSWbdiOxonPBAIuivqiDOv1LtNpcYO6vragCZc8OKPs71AKnzVcXA1HjMg1UpnPp32akismnw/+MPwAZi1KrYbsT2Bsflauz1o4ElXDv6ItgGBqDCuJfH67FHS99nHDgXNbkF3Vmwtrna3fLbrFA9KtEJSDqunePyY/bRllWxblsrpi3ZWCVJx8ENZxzo7tMpva5nP3Bin0T45049XK+qLIipChSreybfun4bn5q7RMo1iGJFa9sEL08bw9ZHGphPVJ5V5T55Tep6XjGUhmyEjn6aREl5d03GRp77t/cwHMB/CbynfNIApRuupaBV6UCUdSkyff/hpO/e3riXWqDEJ+RCHp7DSoAfvtnPCCR6Zxx55v4+h/eropHlHj2/XcZWHrsNe//cMBMUX+UTUdIQOoY0BHzYgzE6qv69KjB+val34c3nBp0TOlK8b12RAfXZiqrXshlCLmP1aJtOJSWdWjsSlCLpnArgNPfvRAC7MvNvK9org1hEqZdqFWoqn2E58o/PWbIvckLlKMl6rDMIOqNecSZG1yFWbxLe5yt04Kd7TpUfvDQDYeWBD7H1pIE96inAkKLpOnqQrBfKNoirD1tBfU9xUuW4xtT2X6mQijUlvexlIl545ARwripWMEA/vkKst0LEI2YZw0bWvD+fdPnw+btldvv0l3R5SUdAJcy8zL3byUz54noluTbegduf3EB3lpYWoKwtIgaJLWSdOwiJJ04nH//NO+3nSvTkY2GgzpBDTNLadMR72mdkfwzrVxfa9V6SHcQz9JMr6RRfBfmijlwlAF91GiXpiJuu/scHgURlnum9fnKSjMB2p/RPGBtNQnfyb1wCE31+a76JjBAP75CqqCs24TCdOvXbv64sxZUETHnl3eWSZrghPn/Vohp+m6TO0dLkphOidozp1Sbkd6Cm5/8WOce29pCcLSItqmoz//z9mryg50KUMmHOUMVzlVrkqMnZMnHy15pERjAjGXROYVkHHvrFABOTDoiCjHrUuicLUkipcZeE4zDc52WJR073lAsCyBPzFCzggRRnjKSjPoe8B+fQPYYo9TrvUeUfaVbMHfnw+9plUEOFJR0L2YwVa2MSasqukAuoM9FesDFj2SYsWFu7n7KGpmQ4R/QcRzQGwr2TTeZ+IlgCYU70uGgBAQ87/VFG6at30mb9mG/7z4ffw07+/X7G+yPO0nDkrnE9aCzXgmUzbGAAAgAElEQVTj4/W4/KGZYGZMW7rRu+anTAbeX7EFzW35VJNEELK6jCOVqCvxUgiOnbOhPSm2QxJDE88v9yHtMR891ZAlIZkC6ZxHMIQ3UISW3079eH1lB3WeUxguqrRBkhK//5BiMHt6vnova3jEXIZuIlYvHuuhvPqYZNBwCenBm/gKkkipF0HoJjx5kE36ZzGoDDmPm8KvTNQMLIAQ0e49nWnmsf4u97E24uCue10E1e41q7aXLkAkYWAeq0ys7ZgM75x31T83/urwQz84rn53jWf6chRjdNLbrmMnBYsoZHMohc55kx6UGHstqv44giEYZdQ+Hfle2e6ia6sYXX3IpiMznYbwHvKCzaE2W9MwHZcR3nTmnQZh97YnYfWhfx/5SQeovbDpxLtxequ1ulnNH3jpRSciL2mojdUvMvIWZlzLzOQC2AtgJwJ4ADiSinL1WrgwYO8gXbi+V15t1vYfbyzbj66Q8CZcT8OXh33/OoGiu5gE2njHpkuirXqRLydlclI0dhEOFgn0iCbsWBR2LuqNEnHV38lSTo2M556b0XIxqfyEw5IOmEGK0NWQ8nSkI75FxMhIKxe8+vuVxdmOnnbnDo2tNOo8YZ/rV5/xokBbKZxDikEmQ8ha8d5rlidlVqzZmqLSasFi5lO5KDoMDhFdBOD7cPbmzALwnWQBvAzi2sl0zkNFhM/rkMtgMf4U/QFmBioEoNhA6iLcRlAKW5nI1An6qq15ZvSYQbWgPI5chEBHynimqnDD8Crz9xkp7NjP96dDYAfRgaYQyWa0iSdGRGIksjOuJZVN4hqajquda/XsN0Chx69jRMR0g6n8hjNUGWZzoD6LHIJ6rXubtMpZyOuDl1S0pHwfQCHA1jGzMcA+AyA0mOaG6TC9rY8+ihRiwc2qN5Yn4v+wd1klVcAB9VoZsg5F2CRUOtAhea/pyiehLmM5sbiUiVqKSids04lhOgnaJvHudDadqFVCZDbPnMplOQcPMzj1yD3xmj8EYMaA+3I8CY3FT0HV60brkTclC0pFX1pblSIyVUtWOGTkAmZTqta6YvTUNnKs0soyKiVwOlBPxsZeZWIgIR1TPzPCLat+I964aopn64pb0QGhhRko7sFSZQySyTgQFfjiOBxAplnAqESS8F05GcoRnWUdW06ze3B7JalTVzhveZIT3GMJap+UlQ7Ae81z2VaX6cc2sWy4plwwMuQOXYMnyPcLz7WbzjwIgD7OW1NzW8DZA3D2R23e3o7Bfesi2xEx3uokSUdEWSjY7EVKLxXf/nwjBvXNIZuxnYm1a3V29Vmxw1aQFSFeXdFYQ0WAA/wDwLyJ6GsCytDcT0clENJ+IFhLRRM31eiJ61L0+lYgapWtXnuefnE9FJ7rl9iWiW9LeViH7gXruOiFZK175cwvOmRjXCrsjoUxdkOrsN6RM4FuOqpc0nrtXokUygnzr13asnulgHvtTibjkuIZbWPTHy37OjA2b97C8s36hOQ5VzvNVHtOUfsDiCoJkyLoKQTz7iixgMpnG3TkUnlPvRYh6UjM2UqQ/IJ2sshuOn2Qrqttq+MOANZt1TumJKWtFnuHZPWaYDTlRKkGgF0HNeDan0w4A4HzzqUs24vAbX9SWFQy72nO2Wih2gfu7VxfGXi9GXV0uSgn4eSYzb2bm6wBcDeA+AGekuZeInMgDugrOvZyyAc4horFLsQgCbmHkfALcBuMW9dyyACQAOAHAygLuJKMPM85n5EGY+BMBhALYDeEqqn7zZxnZknF/u8abFlewfG3aAf4KVCFf1V9VpWWQ4LInPXeYcCAHYb3Kcq6jV1df/Gx6Vthg04EkiTnSK1feJ1Z5ARzBILE99k5qzF92Sb89uVgjDoB4b0mkHWX8iU5Eoi+u+q1uBVkWqam3acTUVZuL8mhnI5iDKP5Zi30X29r0zEVNvqeiPR9Wr+Xc71HJnfEia2hUBladu3pXxnMfrMZzbqw+oHgGvXSDfkF2n17kOrahGGpAolBJ77Uoi2g0AmHkKM09i5rSxJI4AsJCZF7v3PAJgvFJmPIAH3N9PADiOHL3AeACPnMHMbMy8BsNCtT8ZxABYxc2rJq1KYtnRj0dGdv/6Ht/H0rGj/eHUcqOq1qIF34K6DcNaho9w6Kj+Yn1NVhqYukgAE9RtKRN4fuu/NAp7zm2aN2aZPSR7GyLmefjkWEEQPqsXh9S2QolUhJJ0Tw0nuvyd9cn3hejlXQiGJS2r0USnSiJJmlvkJB06nSSTpnGcfnuXJR+0oX3frsHz8Elf52JS/460zsu9nupqcUFnhvarK6m+clCKem0AgBeI6HUiupyIdkq8w8duAOS4Eyvcc9oyzJwHsAXAsJT3TgDwsHLucncT6/1EnNAQaENHFRDSdiKY3NcUn4IpCpoQ3OW3JRnxfypOjQh0I6iY9NXS/7almHMLGzIk73EtBpWxXW5XsnoN7vSO818lRsMvF9bHowlIn6rDYHaUtdxvLOFws5IsFhew5BweZAvnp54ZG0WdJjOTpJJ9Kmw14anZlky0PGUfBFMJ+2G329/vhFAeJ/UA99x1n9JoXfaCxqbjvs9ovJElYIk25DgSeUS27+8vRTvfZIunQkYlUWy/1SyvAsIzsZYSXynqtZ8z8wEALgOwC4ApRFRZvVIJIKI6AKcDeFw6/TsAewM4BMBqALfqn7mXme5h5HDOPGzFiREntV0Mnqg6EkUrAyvAOe78vBCcFsYhEUKlYTbp2S8HW1g60SAbqgCootE/Hn917LSEZnwIm4MPMTx3lSfALdt5DtXIIgleK5JKvX1L4AwLl/fMf7HeVCHGaKYe+1qOHUUbDROLwfn+tZlEplOUBWnr0/Xhzgc4UaWlpnrX75zhGejSVKviThfsmq4zv0e5cYA+/npB3i/sxKV1RFob3NonmUP5mqfn4sy73yqvkhJQrC0qyomkr7uQrWXMz3JcFtYBWANgA4CRKe9ZCWB36XiUe05bhoiyAAa5nbSTdewqAmcy8Vpxg5rXMXGBmG8AfEVbHVQzVYDrqZNl9aN/Y67+fsgiAiIDsuKeu2ORGcq5g99R2nS6l6c0twpSzXqdbfKtl0soqkoyco/u+Lv7QXxozsH1DdCIKUJhS/Cp9RUagvADB3lR9RuzWCAHv7nc9y65G74+3SiN4dmLUJDLoPmNr/+JO+1ZJtO7GUPgtHKTOdLnxohMZ146iX6kcvI3mvObxErbW2Enk0IcdhvcBycesLNfpyTp6GxFXvbW7qJfU1BsgsIo9ZrY+FtLh4pSbDqXEtGrAF6Co/b6LjN/OuXtn7wIYQ0SjXclkApywOjImATjf/X02gJfZmZ2TAExwvdtGAxgDYJp03zlQVGtEtIt0eCaA4Bb+CkLdnUFcJHak6EHZXvNVUiWOHu7ImopBkU9F9OirTKYHhjr/rjcCxTDTbFLuAcNm1LFnSCdsGRDfk/vy/nL+8Py6JAKuWcS5A+f/PLRfdbbksn6ej6HQWdei3Je81xK7Yweni/wL4YLdMpIlxRWqIjmMUWxS1fnOAao306FYCzyfMkqks4TM1aEb0xAv3rVycYfFzqm47lMV0hV/OsX5ldtz49ufH0S4akZhahUFWIun1DIcUFFMxzXoHwbgB8x8ADNfx8wfpr3ftdFcDuB5AB8BeIyZ5xLR9UR0ulvsPgDDiGghgCsBTHTvnnQvgMQAfAngOwGXMXHD71Q9O9OsnlSZ/IZLOATgGwH8V87zFQCUS7XkneuuD7+h9GtIMUHUgjBzgnq9d2HtgQm463mh6QlWCo6l6iQKZQZbUs1FQWhaWL+99cEqpbN79kSSdXigHOhewNKIil6Ht4h374n+yxYuw3rmx2PKm+fjrTaLnh7kvTt511JZ8+hfbFSykekV6/Z0u8km47EoGJW/+KZZ60I7gevz6VTnr+U9Scd/QPE9hBNFKUnF1KgJsvpOp7arlHpN4I6XF2LeGv3WgSkLmrC9Pd6VPA66ez9ao89RFYXonqOW1j8xQ1OZQZmYiOpKZLyy1QddtebJy7hrpdyuAr0XceyOAGzXnW+BIXer5b5baz2KhriRaOwo4n63eOrvebn90zVD7NYFeDdMr7JbIZitXDqtJHKUwoakNhWNIpvm4V8qBXDfA7PKYTli4emvqJ3BP3nX/LKC8ir3Ww5TMcLK0SeW64gpJsVRqojwCfe9pquUg9JUaYLNiNjUWiPkJ7p+L8TbTp2fF0Xf2kvnvPHxeu/9q9EI0qrX8po9V4LpiLQHSa7Tv3huHo4YPRRH7+tr9fupTCdBveZFma6gek0nnS5Z34Lzn75+G8Yfsit9M+ExJ9eq+XZJEmaZvgLRfqatKOi5mENHhFe9JN4e6uk6afGkknYseeDdwLK8OncyIn6SWdUhwJorpYDf2vPOjbC6qk47tM+/r/cB98RwLnf3kvSD5AVP3fjROfKUotEpB0lAm7UXGdTjSMnu5VtaGlH48RnMGn2qhSx12xkLQrtEdLbdOJdqmUk0Zz/9+X9Mfn7X4y0DdSlZDo3Tv4IgGLTEeo1nt7/yokP3be5+dREu+FNwbqiSjly/zotQMPVKGtB1Kixh+1oSkW01DcpNRQ5EjyfR5y7tvQbgSABvnE9Ei1xVZqK8MJMirXF0yqTQLi/UtQSImT6RMQgZNdYyVJOlEnI9jdqVCfhZ1ZSrepUWEjFBpaSbJnQ1M/wX5XP4t9dx4AALjk3/bWtqWGaSlmvskRCXz3bae/6j6tpBW7aPbD1Y6q5KGpy3xJJ+IeIemQnEuFa9wiBIKoV2hzaEqEmyinOAEkISDrKQiK4/yhVdbEbp/WSTukejFHQzTExV6JsKlFgZvzy+XlYnuXmHXtJJUGOqsJT2LziqEYc3DvEWEV3de+0kOG7Ix8LJp3Oq+3+vhjowWiTPoh0a19k0Yn0wWrQ/nkY7dbySylhVLSNQJkER0vvfgdLwwd02wjxETUh2glTAfyeodVYoRBvmMZNOJep7WDhv96rM4YNeBnuOK4fULXH/ve5wISI1DcKs/3XQv3ZWuRTEfcJ4zyAxtyid5rwqaTsYLfJ8mRIFnSSfcOojZwisXAnI9Oi0z/L30xmCv7mUOd9BV3B0/VLVUdmAuq16DoqucAXY/jhaZ94HnjifeWiNspE4KPV23DXK4twn2d9masd68ZJO8P1cd/oBePySo7z9O11a0mHmZbq/anSuO0EdGKu3+EZenRdTmm8cYjoZC4tu+jLun/da4FJJOcJAlbZZ7fu5aXPzgjOROQZO5tAJGHZkuqMRauB4HpYt4QtKQy2jtInVZKzQBi5lucj4dntS9blV36Seo1MWaEOnFAQy7wXDvaC9ikSLv5AiNjOc+Q5J1WkN5jknCaVqI4bn/9XnBBVOev3RYpn7cjfVf42QoIX7yFO0oliQqogkUvwXhNEtpKq4rzNWL1lB656cg4u/ZsTPUB847xt4/dTFqUO9SP6n15a3Q8/ckLNKsOnoz/uSThd1JAAAIrpGd56Zry+/O90X6sDw9scgQtJJxXSCKoO6jOURukxC4iuVn3uoi/xZsxo3PfITzjwo7OgDRxLgK2rWApKPqvz1Jx5Kki5jJW7A5cpLVZcJMpyhJR1KvCfuS2DOhn7tJPIjCq7aou69vpbGZ85Y7XsXh9SyAXT962kc0QbA6G7tc6EkjnipF04kpmLMJFXxiNe99YEjgvnL2ryNkOXE0x9XoGcEganTZZ0lN5EjXn1m8r90bUraqnkCr9gs6diFf+LRcTMTzZj5ieb0SeXwflHnNSbW5UXp4XCG1j65TNEht6JscUlu/9VAKakNZIrQAEe99lFlutN9oX4zeVCUql4b2q8u4BYrTyRVn0lGZnjrEdJvJ3l+xGfe/uQQzlm0MXXPqDJ9r7SiEDOaVgDzor/8/xwt/5IB6bGvN+44ERF78uZaYnPTA2c6R6ypF0gueKsukEvNeCko5qsE5iOur19jx7ddkMLNYYn8Xm0A4K6vV1NCPgMp3EdJIMRBJ0n3n+yuiyKgKnpwv17gy7TsmZA7XaUhKt+brk/a7aEN5t686WCtLZgM7a6C49+dRnvnIy0zELWVKiMnsU8ug03bO5Av2Kk9MaO8IZ0UNV1fvXar9HcjgKMB7FXxnnUzqB8tX7C9GF869VqahcWRo4cGjgN6ncMV7Ta1PHWQ6oiMmcJR+WMcYT/vtG7ji4feCbWnvLm7DmY6YXH3qWAzqk/MiBWcsR21Wn7VC9pNAnvznaJlKftUJG1ZIcCRDepxNmIunchwV2dOS9xUEUEfBsOkQB9Z3NjKdnrfT2ADn9kvudJOn4v5O0npWp0c+eeoKSjQ5Sk479H53hRU/SmV7kOWfWojneZGOtSb4ixGcWMt7fn8eTMFUU5GuRtPw5fX3ennv/ou0jpaBPqqMh2XoRVj15Hnw5OXHhW4lklIRlhpVCJzT184IWl6NUIplm32qLFu5ZdmMIejOfsDnR80rnyQe666LiRfVFd35j1Nkh/TqVyqYv2Yb5qzYkqos4EhzY3cd6BEa8fyD+uRiV4w2c2SAw/qsn5S0GBIrZqyFK6rzXVBuOmlpA/eYqk5o8Z413LipqNLMTtl9lnD97ag6+/8gsXOLa5WYv34y3FvkpnJ5JoXTFEJ8kTK9Kmk49XjYn3uCpm06vMqL95/1SpjmA5mTFubAlL5r56TdslXDdpLq58bDbeXZo+nmKfNHLK1qN84beglmYeq70AwnShPwqT61EWD436fuqqyUUoYnDmuq/T7RDQXwHwAt1e+a90LKkGRnJ55u5Zdm7MVJChnFZVYlGmm81woJq71yodZ70u2v4bQ739CW1b0jiwjD+/u2KKGXHtw3F9qIKSNJnvaY6VRSjzvYlnbD3Wpyk01GwQ99AJwkJVaLue4l3lM1Q6PuKoKerXVXS+LvexOtSnqNy9+nI0Ek6nMuS+y4FWIyUdZa9IXHRseV59sNLfla9+b/n4/RVbcPuLCxRvP+f/qMXfmq2OxBhH2KctCaql8wX2nxnyHxikCADZvb8fxv57iLb62tnZg1vJgdAenf9HvYM9h/QAAby3cENk3FXELBcvqouo1ItqHiD4Pn30X6NAAnAvgqgGer073ug1DiMVn1oZvRKb5xnIeWZSluxu7vK44bAyDsvRbndlnugItSxxRTbatGnBZm1KKAmEYRkYEPO053rUOBoHXZd1grE5XL6WYykI2w6Ye+1joIdmNwfrPSluoLNoe+p824T9j8dnQxLfMONuDi0Gift0ZPtgQl1JdgTxnNOWbMQB1z6PKQucdCFRNi7vPRbCkrfalyhJQX0dMo2dtXwznbn/xY6zd6qse/WCrzv+tHYWA9Ox5KWpbc/D1P7wdOC7Y7L1HnSceALyzeCMWrmvGr16YDwC48M/vn4oy73gxJh+J7zVuzLaTO/szugwEgdg4UgwwR2vM2fvz4bExdnJ6RlYpiJJ3bAWxVXKVXwsl30+slnnagcMIBekkhD6G1mjBxQr72musyKQTqwwdElp5F0xCouSqJKS4ujoh0U4xGjW1FmLAok4xK8IpexnQvaQY/fzQ6Iwx3uvhffppO6mEpHA9V7zmA4jlyH891f2BwAsk7I15gsceh86IiyYzg6NS6zYsZ91nw+AUg6RvWczCI0nSEd/m7UUOAZux1JEIomxcqm1Mhpp9NUp1F94MHe6jLmyQWCyeefdbOPjnL4TrnjWDu/5y9KnSuIHmaiWdVpTvhmSleoVDfqY8uv4vZikpabKUoJuldnNbEsggL1zXj8RkrsEra6lEtnFMN0dmLmOepJ91xjxXrUTRFWA4SlEBlphouzJ0M/6C1VvSatggGN95qG4F3+0Htu30Wdah/TD+pbnnpuHxonPBM6lJWRHjh6qdbawLApEYRCr+2yGQnuF9t9lQKDdKBfRbMYKrdTXbW3FTZM/SsUk/X06nYe+1joKNXMbCRV/cC33rMgGC02HbocWHblyI4KY7NExY2Avqs1bk80UhToXatK0Nf58pRXZOeA2JnNh0vcGcwYVukpCP2imj6qI7BqL1PaWINyneKsSnq/2h1cQE0b39xQehcQfrG4ttHjSm1v+pciRuLnYk4Us6iLK5qxyHv+T+00ILpghVAM0xkcc61PzLVeAfWjPjp9ubfa0a0y0joSRE3wjEWBesVgF+VVnwqpOaNnzxc9WWfomz9+9uih0Lu1+noxF2oRnUeo13R6lQX1y3u+CHf8s6kr9J39/H/e8tthbmcdBntJuV9gwJV2DBdEQf25V3nCYHimC+Ojd78Y7qIza+xiFuAXDeve8EVE9JUCVFFQWbcctz83C3OybEnfjNBiPfbOUjY4vaKqKdCG5NdqOpGXQ+D2WlFX/XPIEu0Oqh76ERd6lyPUpEnue3Hqdb9qNzFMB2/nbGjjuEXY4DpbjIjQrFQSxTCd6UT0XfUkEV0EIN1W9h6MuEldqiOBiLN17pF74BdnB1MWWYqbo5+qn2hlQajQDtQ+yu6mfDjrYvvpIUcm1IlMrp5R0Mkq+GwGLKEDghHota1FoxStHGS7Ydqz6qU55N0KCnSCPZefluLEKfugxyGcK7rvqoI89efzMWBRj7mXe9ickfrE6sXzCb7ZLkJ76tkBwacpmibTpx6pUFnax2PRNH3pPeQSQjp0lHgwCJEpD0Q3+zGMw8MlI8L4hpSW0d6wCknNO8nEF4Hwn4UrE99T1GveedBnDaFzBVtyFvHUd+kkHXWuxH0vMX6LiYEYt8iVbZzVSEYZaq+Isj8A8BQRnQefyYwDUAcnQVqvRhwTn0Uo6KQicYDo3nXlQ6JpFSmZI9lfggD/R/bqCA/ToX73q/RaTsaPAAcai9vDIm17S9jNqmEatSlWonBFo+r8swqZN0RAZEwNGnx00eVdIpxp5hS++5IZfBp0cN9laJHbYv6WQtQru0eXPVllb87KnkHIKenpCMxnQIzLJDn2dag2eCa3O/kMiP612N9SzuuPnVsbDn5/alSCxCWWHx1kAh+GRybcvwvlTiqn6YjnYkyFo6qHEdxM7f6vlGnL2+hTl0mcnwfuOhAvz1sXqj+kZk8p6aS9D9BLOpPnrMYx+44MpD8J1u//nHtIvF7iWy0qbzrsS03HTQB9FRMcAEEuVZ5j55ar0rJshbmWi1VWnlXRiwlfIA1WsEsX+DVX8VwUJnmTDIK8zv/NkPGV9KBF45B09anXOGCNtawzYMomAUBrHCy2asEEOTJZ2OQvQ+HSCcxE12g06CmOgZny5co2/M+0xZ1W6SX3pIgohCoe3xyGV+91pDLhPbpCERKnSm+xcA+Obx11XGJ5cQ3+eKY4XjwwiNDn19Vvc9WTc3B441BvnKlMPyvlJVIl2CRJRCDOZVogENNNbBdQ6tvRUXCYTsKY0DGFgsR02DsX5fignbFCOmZ8qspbjMi/KTF+6EZf+bSa++dk98T9nHKi9p8AMIuCFH3wJo4YE097naizplBKR4BVm/q37nZxiOi7jVsn5zaHKdQtLRIeRIIGw6Eeq1OFFcZorLpTS4aVmOPE7lPqX1rokioEBwQtRJUkRY0vGZnbHvBjrfpRESZFqvbgs2BgK2BsooaM2P5XoQdedtTUWUt0mYOLQXiWT1Jpwj1mqcySzHg1Jw0UfCcnVZQ+7OqqnHQE+a5XFvpjVPnesk1HdTZQa0prmNe9noCk4/6vzlvVlhb1mqOYjui+eN+Rko5CeW1mnvLN4A95xXZbjmI5lOeNL1C2iUESpv0X9dRkLYzSOAlmNCruaqEETvQNxC0m9gVQW9fU3xzId1ZFAnswJP6oOAvALUGbCLQTFREgSipDlmNa2xT+jVySyrFZq2tQVcrQHgimP3wZcP2hkAQvt0VMLzy+fnn43P/+7J2EnsbNN36Zeafl9RrmQRjezHIe0xHSDrp1WsiHEsa+1ranC/q+xO49euHANAvNl6Yuyb0n7tR2dUxH/TZRQyqVek2Ouh3xPoTXYNTrmr50I+59fbH2GXXqNXUOiM3OqqRjM2PCPe9gwj3veHVFnwXI9J31bn+vVmNOr1sTzRH3fWtt0as50iOhkIppPRAuJaKLmej0RPepen0pEjdK1q9zz84noJOn8nUjdSwiwimi6dH0pE/yKij93/h1TruYp1JJDPvKfZkQw4hCJqT0SG9PlSPPVaTlWvpeufrN4oZZ9OnQOWXlulY+lWqzRzwXhOr2axFoUmv6rJVFdqVJ+6Lu887zL2mqDaU53h1vqOr39AcDp/iSToe0/HPndRT871VJ3bgn6UiOBGmJb9+IwJPlQHyukJosZr9Nh+3vU1IlW3GYtzmkklTHYNrUBrrX3x5gOtD2ntVVxKlGrOfv3b+OGZz7S2itt6RlFreE54NT4oeKiHXIkiJl8TrR1K7wYyUaTc9uOjtKRUwIJVxs1nZTpElAFwF4BTAIwFcA4RqVbLCwFsYuZ9ANwG4Bb33rEAJgA4AMDJAO526xM4hpkPYeZx0rmJAF5in5jEAXnKPq4I4m06Sy7QaC0ygYHOk6kn1XhPzKVK9VkrUgRJuSSPpXPVkMNGsPNAfvPAIHN7oBDpVnJR2/vBWazOqEysVMQNWdvJhXoy4EZKcGWTKt5OQV9Qsvu7qMldpzSTCdNM+Ylk82ueqcnQYGPbg8nF/IEgqwyK3KT8xVsO7SYSC3pIFynikDdbr1vLdoQmJ8hO1zEO9HZIPMy04lgaqJbS9a3lBRNG3C+nf0fBxn1vLMHara1eParzkAxh09EhF1jYRVZRMdRa0jkCwEJmXszM7QAeATBeKTMewAPu7ycAHEfOnCBoP4BFmbmPmJQAWuvXFQa7rAQBnVOAZtIhVrzFjcVMz1m2TPMOk8qoLr3efHS3pOOq1YFkgRr1WnxO5lr49puY7URcHcmDkQBkbGw252ybqshWtPGxsg0BnLJx8MDkksgMOIVKLLDJww1k8wFsXIgfK8n1/LKQkBm/nLMt2owHdkmktZHwVOvRQzQUqIeC+y7U//AsZpfKNCOzSEnDBnimeQI00CYGEd9q5CknoymTj4jKLlzeAX/PVdKQkOeygOxI4MWRk95FRokk8YVbfJN4WC0X/V3qcxlPpXbDMx+hNS8iVUSPneZzCjhAAACAASURBVOZo1VkgZUoPVK/tBkDOZ7vCPactw8x5OGF2hiXcywBeIKIZRHSxVGYnZhabnI9YA0KY9JKKLiWg6EU1vamoq/qkQHDQNIXdlxrG3TsERN/oux/IYiwtjHzVQLIIi6ahMR1GvSWWfnmLECaVCScOTOlcdnrMAPH58dW/biL+6Fb39+dOAZs5aUZI31cb6ETUeVIL84Zrj3O24DY0MuE/hGn4j1+476pGPOzybF9tu14ScfyJJ3iplbfugx2GqjfmCeIpaxCTSu5isVHpA2jBBveOUfsgZu/ehC+n+bnGwPmkrK7qGFXvLdg25q4Kqp3SMh1VshE768ft6WvU26U9PnI9slS8yc0VlfR2568Jp0sIMB1vnTPjMI0OEUw7cxTveIO2VU19Z3FpAXlD+c/YqT70Wxy/smI3muqgf1URPcST4AjMfCkdtdxkRfUktnwI4+SzuWmPkeZh7HzONGjBhRUgc4wHTi7SnvLt2IiZKKKcrLq2BzZJppda+KH5HAOe5XH92HHyUwngzSIWsiLfsxbHZ6UKnxVVPDc/rsMBOBkO9VJLMJ7TSW83/zsnt5vnYQk47Kj9/F+y9XINq0oDyh5nNWhZQUknQ+Fn0kF9fxYRRg/vpy0r6Jb4hBmiSHWuOpbqEphO4HlTuIwDzrudcMQeISLmZQCNWKUnnMZ28zSHJS+13FK9VieXBuw/GO1cdF8jSKfrFHJThG6QF2iV/nRnb3gA3tuF6jb1P9l4TjFceo5aFnyD1QgWgJNns5pHRQtRjCDiW+/VsL1+PSv81QompHxyOUF1FxnqSVQq2ZzkoAu0vHo9xz2jJElAUwnCMCGuHvdwKNg5nUAnoKvdltLRLu4de0CILibq4KQiboQc+/91rjQNcCJTvuWFHJFp/p47oM1WLahnJVJNRK5aZ8v2DvziuXmeB5qYfAMaghvAigmZIRB3h7yylIdpMQZrnf0jaxEmnrIfHvve5zB214EYn2CfsxpuxrFAATYazP0hUlcR05MklpxYH4t+VbXPAM032XgvadOLb31mxhxBF91kQS88QL0m5KqNSnvb98pqPvR1J202KQlPrYt+noFxK2rdmnE1GHCt0CYedBDYHwSB0FGzvaCzjouhfw5zeXBs6H4DajnMj11QSlD9l4T/6/a7KvhMlK8PhVyOzs6CpikCSgqoKrjhaQjIlZc8Kd3MXnOGiXUVXRoqKy3tyyynyYqi1kznXQBjiGg0EdXBcQyYpJSZBOB89/fZAF52pZRJACa43m2jAYwBMI2I+hHRAAAgon5w0i18noKnrfABPV+m5ApNa0I7hbhyj4EZMO0RcdETukr/OwPrm9khCJPLp3Dj5Q9z96iI864ZYEYNarMgEnSvFeitvbETU+xeRJI6WLvsqr1IxFqMtaOMLNmjq4T13oPmePgh2YqPuM6O+27xxH2cm8/sf0T04DnrUKVdDLkv9sC+8xMrB6P31+r0cWw/kFVmkUUab/zjdPi3frqtT4KEVQjOdd50QD031IuX65mJS6cnjdyWzm4gJJ2Ogh14D2FHgnQ2HYEg02Fs3N6O5rZ8QK0Yl05efW1xc8JmDqhaCzYHohbE2fnkdvIFnxiDNYktAVZ2L8apG9QgsymIkHTFGauG5BtSY6bg2mssBPA/gIwCPMfNcIrqeiE53i90HYBgRLQRwnJVyPM2aeC+AxAB8CeA7AZcxcgGOneYOIZgOYBidKwnNuXTcDOIGIPgZwvHtcFYjJMPvaE73JJ8RgnWcS+/80lqFeDcSojWx7YUV5YQr0mYnQ9PO0T5zyFmc63P99YGtOJuRaV2dALHpqi/oxCoIHwxs1BnfYMSmyhjs68a+u+v7B+y/SQFpYwzmAp1ha6IqhuXM7jaNkM0K+of2KAnHqoEZ0mSjsowxaLEU69Zn0eo11ftKRGqIItbCPRyoANNJUK+Jsarbw7S+uR1/m/qJk45buh626ejbjlrFD5bGT74QVt8B8XatntN5zov773lji/LYZ//pwbeB6XB6i4FYDOzZYruqlJsarmrVUjXQfHXk9vPirJoqJvVYRMPNkAJOVnc9dIv1sBfC3i3hsB3KicWwzg4IjyGwAkx/WoAFgiCIIoeTGnpI+/vrndYSSSylZlCN970I+fqjIonASKHyIk7xcDTORLUZa0AYRQ4dI/BqMtaeGdxMAOi+kza9kEQbEnWkPsRq9W6wpWJSSCrutTV/mB3npTpEIh6ijKpSlJGoXouZYG0uEdI9v5puQs4vr3OZHtgnzDQBYEB98LwcZ04OrSPqlf+3yDc0q11UnidWpn94FT723MpLpXP30XO35UiC+S5R6csqCdYFyOnQUbOQsC63w7S8yoiSNqM85uK8vKXcUbG1qnBF0CQdFMKAxPzKSQnQZsm3HJX4NxkOPGnNxOgRltMWpPVeWuqtcEZNf1NVtaMXJgOEgp4EuotWI6nPcWRoNMhpBmLZDE1bEzMFzi0Ci/YjBWbtuPbf5qG5rY8XpBWSPHqNQ5RHZkg/vikffHY9z6HDPmrncVkEt8gPtPnpUYNCbbR2FAJhcQKIkHRufnaeczmULyRchefpFTPY+9Vncc2pY/HkpZ/3zgl7iVjVn65wtirHpqNjaGr0rXU03keQyHRVaRlV/khRROyqahOy9Jn6fsP9I7DbYzyxy2J5DPAL2/ePGYMxInx4uriIDEJSPJpiNSauuI2zc+uwf65DIO05GeX9TUUbBx8u2v4ZX5erNsFMEc1CeHW85yAuZeO2muntm969ZoD9b3F7ccLxMvTDB7BbCeesl/omlytbfuu2zqEHQncbLOFaElnyfqWSEeVrLJQqjYM06kQnjt9/JO445zNOfKORjn2hPpvxJBKBvG1r1Cc2bn1hAV6Z34QX5q4JXJMjwMqIcpuViellx+yDI0YPnDcRpkvPWWOTnfLnwC6Mx+5oTA3Vd/vB7+OIvXomdaECQ7z0zRx++XzfZdYNdR+i/84XRgQkj7lvqnZWEMv6O4fTrOPbGXAehXtWpoIkvaM6MLWxRlW1IdPSzy1S+qzl58O9EdS1pEDB9QjzcnHotLj94bnGYvACG7CFK8mjYt1Wu+1KIj+RyVa88ppXn6/+iwKzHhs+gps3i67Ejt1rdnSinlrtuGx6WF3/4acnhbMPGxXZ3ukH+7sydE4DcTHyilGvBbIFawpmYhZZBYVGxDl4qAu6FldSU9Vrch3NbfmAfUuGoBk1nEnQM06kU9hk5AKcfvCuyGQu//vdDcP8F47D70L5O7pfAgApveHxz4Xpv9aJOgLqM3ltGeE2pGzj1nRlrXg8lmL5QK4AwywXT65DIY1DeHgyWJZ7YbnkenLplwuO9IqNKzZRtaEjOXAlIoGZnphEqFISbvnefdODRzLiGLWXtspZlgk0wk4PkAr6YjnjZK4VElHzh2kMipPfSdJ0+K3IEA/OXk/HDl6KAo2o7nNnkdT61We9d1NKxPBikfUknXixSidl5ixHpdietwOE3U8FHl3nPy//Aob3j04+JkvC05eGVclaScf7npsHzceo1XWJEGZkY4h7MjaWJjBCDVZt3hNoHwkwwOiFksH/VhmE6VUD/+iyO3c/xWmrIZYK5UQocnWoX/8fUlniummkEzinhmLL2orxs4voGXA6shecUsCJ0uI6JqGH7jp8fg2tMO8I7ViXjevVNDngS6n0CiCSMkr3zTDXlVP6hhtOeo1Ad2qVp28surSZr9e8U6iHBp0TEd1QBG4+h8fwJbccS1pn466UTVvnsxeiZWCfnMQEEx+3bCRtDo1D1H40MXfi6kzKoiq/o+v++aGmjXBIG4E4m47q9h5InaDprs5b02/Hn/11gjlWvqRAu/6pNR02PER3HsbaOBIbpVBn96rLYLg3qR6cv16pchEeKulqJUhNZrtusuvDSDRyfnGNgBBmJZ/opZtKOL36RO+MF964IqMaV8S5smLpVG5aIb7PuM7B8qF7pP2eehlXQSmE7/+uj9FgJpn1WsBRwL3krgzSr02UFGvkWQLVO+Zt2YbPl7XHEir4G20VNzNbZuxZUeH20Y2kCAtCeXSHC+5WAkhnl9Tv9ff/+BwAeFJbnKSTtH5IYkqypCPevWfTifGeUxmlLhEhAJx1qKP6k6OkqwhGF7HRXrBx+sG7n4rA9gzGK45wwkiSdyDiOMcywGjBMp8roW5cJpB4G9ARRSBiqpBPHdJjDqi3dilH2KpL17Rb50ZpznWf0qGwgTkdDqndXr4Tp0RMMPGeP8f84RuycSCCA6NH5sHxX0r9frt6884VPeb50kGXKZlqSOwMRmn0Q/99+tXH5Z0BHTfPJfxN6HKOXxUz7+8zdja6jIdSdIpJr5cqRBdKUnSUb6heD8tba6kE8PIyiWWnd7uptQ8eNciL1Cxel3hvv3nxY/z3P+YEpBn12z71nrrP3YFIZ+An+AuXCaoUHalpaL86HLL74EA5n2RtPRVuHjVfmrfNUc0GXaTuSYflpOiKrrigM06ky+tbrmE746zZESDpR+3Q8tYlCTHQT0NO1K7v4ngWTbA+BsaA1MNkXSUMlBXdYKGaWfnhWekKXqktXyWhtBgqTTNyKtr+yaraOdeVW9JjEAOQyOePyonfqiLA/kRdNJm1rIk9Rpw1N5OnDk5XbSQgLbucNVrDTmvP5VMbRAFOVp0sVD3sIj04y2pJJ3yqKWYnQn3qMqH3ZDOjLV/AbS8uwF/f+SRwLWlhI3DMfiPd8s4z6hZWqiNBe8FxOFIZxdB++sVSLkNoac/jn21Lm303b29FRsMHMjuo3Ko5jjb3Xar5Pp7ehby4byqVep7GbiNWtuqM80mXaPa1OEm1cKymnuponnvqDYHnSePHmb8bOn5njHKpFXJYK6rBVS1dw0eZ72OQB/MqRdjKsEW7eCS2I6UYZn2aaVSr1GfrRvnnbE2ijCpdiiZIOj6XmA/wCkR4axDd8Mx+44IRDbIZlym40o6AxqykqSj7UbFkc2Ecx2luk95b8LVn3Fevxdl0im5Oi751WW9+COM8c7R3W1xUZ4HDG4d441qo7nRzNBAnzXaety5jhcbg7kqqaYEBDTlsnbAnGg7vgT+/ilAN3xm/P+YzbX2PT6RVo1YRUqdMQIlWcF9CpuwB/tRRiOjGSTt62A6vQ9oLtETLBn9FT1HuCI6SrjDPRdOa7LWKkcAkRX4vTUOqiTvZTNofvuPADnHblH6LwsZdg24+lZK7FsQ4t3Tue9nJks6nvupe11VlQ1syGLpzV/BUfsMC5zfobiyqyjYjleXnCpaDaWTsSxX0pHUa8KmE8F1Gof5RCyNnajMJWcsKSOt7DuuLq6R9KW9fdaz+PmVO+Oo1h+nEeXNVKkhln1wGNjOe+2AN1rkBN21mb7OwiijnnBzlauEXkSWl1KdVr7QUbBdfLVWZQ3/rcnvjV17T74LHnMD0zevaDNVpVrAzPwaFG3MAwnSpDN5F1nBNGLSqsQh6iVsiDUKpPSDRyP6RQ4sArtKNiSpOPc2KxxApA9z450Y6LJUAWCuqwVuV9HhprtNC3UnlaJu5Zi0TwcAjh8bjosWlHSA7z8yC6f85nXvnFbSCTgSKFKY0g+x2hV5bgRWb/EDQ+qYTt52omrHnvaoMwfNeIwIG1GcTbTp96rLeu6oE6c5YFGAQw/vXY4yUd2eXQX10twVUtpcdszdyGSd4q2BgUYQfnqFwOmD51GeTtYB4oO1bS0be751BpT1nG3wsnvr2OJsjfRyz8HI2BX/aHJ+6LIf3qAnUJnHNEeAElnEJU8T0CMkXL3aaWFYTpVho5naNUnLmFXjbBRIrxwsVbVcXEu0yIIoYAcqVnYjnShMvIFfzeQTEB+n6BrdVXK2vb2AZRsiIhlI8JKSFTnWQ2mSS9inA+iJe70mz45sk9MxHcehgwPXRNW5DOHeb43D+EN2ndY+jp5y4R0cbRK6WOBVIxrLwycbt+O3LH6N/fRaW5YdkWrO1FY9PXx4o/94nm/DJhpaK6vKzFgWDniCKd2kaWGvYZ2R9EhPpsxnMDjpV0KqZey4A5qF0QNh0dor6lnDo9Y1mepON5r6VkOuqCU7ZDPvkfnR2HEAF+iEs4KOghnjOh9OsExW20YplNl6FY1uo/rSzrByRUlwveJ2Nejz1UibDo2znU3VAKOpCPUnLmKA//rrB+Pr44K7u9WIzgLnf74RQHgvw2F7DAmV1cFLsV2spKMa4Uuw6QD6lb1McHTGdzUMjhz6nhTn8bbOWhePH7oT/PHZM6n7p1Wscm/3Racu33wiXbFH+T28uxY+feN9zpwaAM+9+Cy3thcoynQwFn1GuyK3j8ff57EX2uz/mqOnVxJSONWlAOFST3TYaYU3JfmDlS0on6ljJzyJDPMIUtV7eOlKeQULXWnZ63ABbm9A3cbhIkn76e9puKiBxzngiSmUwMHRwCG6VQduu/89Kxgrow9h/X1CFxLCvdqAGhwB7aqnDouz6fz7H94JnJfVa0LFMrx/PQ7aLRiHLV/wjdgyHRYtMQP9pImWVl2mqtdSOxKo6rUSwuAAegIun50vReUyFNocKpsOO+iujqCpEE+JZ41IuiHt0xCHvSqlxr1Z+78IQr5bXuq67ZSqx0s1aFtrlqBegnVOqvnCI9Ag7RFZuZVQ3AUXsPk8on9+s7XxgdblMZI0JCkRd+q7e04rQ739DWmbQgFBB7z47+lJMgnUh7npx28q9umf1JsiE1aoMjtx4332SscdWEU06mVA4HXXk1b64VI0pP2rcugb13W88555v2gLSRKnDysG9qKmlsB5rXrNPbdB8W7pkNVr0qBVJ3jetj0VmizViBXmjZM/QuPwfth/l4HYeWBDbD4aGeypn18p0JNCM4lSSjqbZupj3AITtNmLC/ubFj7XqNfG6xEq91H556rUYCiuPFeGCr44HHdOppKSTschTn5wAAKN0iRJYu5EjpYiypUqccNDMN0dSFAVLnlphTIqIDEL33xrlf/y1lFS0DOGDXQXjv6hNwlhsfnTn6UnLRoEZBtOnHrsIDHY0L+KCDamUS8ejWkVrVgmE6VkTQfMkSuPSDCWJlyNSWgm+BRdXS4XjJAnkBiqE7yj4Ec+YI2kAwBzV21F37qMS3T8Sfu9L+2lbRvwJ1+xK62wy7R+M2USdM3Kfbn0bzND18M2nHef/u19dhLa8HUlg9x7RH3sN74drpHTF//vVg7RltY4ErrQZb9ORVr4RRmvB/IRLMADPOD1qiN7InXwyyGcIbC9d7x4S06jW9pCNUU3FbA0pdqav3CdXjH15b7J2Ls03KY+yebx6m7ZvotnjHzjkOlZUZnwo6OdJJO4HunWMxEbdoV6vdaqdfMPp0qI5HpZBxDdNSASLOaCtQXE/BTRUeB8eWDdsH/vb86MIHUnPRGyA4I8MHWT1rIQWOnuPlTvygn4k2+HtLJLg7D3mv+7f30WzW35VIROlkIP3WMwZn6yGf0iwuNcn9eQcjB7eN8R01D576jXVXlCXwcs/Ojpw7pwj9sBLH63Fix+tQ8byI0KL+htylmdPsJnxwNvLYp9Hn7pfshScS/gHA24s2oD6bwb/f87Z3/cjRQ/GTk/bF0fuOjK0/DVRJiigdU5AXUeIx6nO+ek1lOvK8noBKXznK3Tjt4VyxZ3xJdWANZOpPHgdw3baBV6ZRgtvKc29HuS8Xi9m98NuydJn/vNAFCozYIF+vInUy4M06kyrh9/IE687bXI6yIvTtSAUGMvCahhzL36YtRrKjoKNn799UNw7WkHBFbEqtQ1a/lmj0HInIrhKSxY1NWPPoX0DdqY44i/sDpvcUPZDNFlCdVCfRyZqf/zWONz7+uJQ6gAd5GoevPBILFi7LbT3nRUBkZt1rRL9YpiMkHbH5NGpx4MMpf/34A7DYVZWK2vvVZdHa4bybb9w3VXdzANkA05EN84BYBkx8ncg4G1GdD+4JOPnCXxPrTYPnGHYFjQnQabhly3qGgek1v06mEpCPXceTooQFXaV34KhW5gEQjG/zjn+1PQSDpyTMTbXlwAwPmGYr6pwUWB4AJTjeWnQ7Sk49QzOOX8KxdGvVZlfGqnATj5gJ0jr2csh+nonBsQbPz0mFKNLIGozWDH6+bwbakN2vQTCEYl/+fx8b/LH7WxnRki9puvPyAH1uPmrB3mBEDdvd9QancXGlZKh1yivLz+09DPddcHg6SUeatP3qs/jMHkMSCaQq6ahRuQUhuOGMA3HDGQdiXMSiQUWGyGNgnYvXbV5K60qg+Av3K6VfeALCtLR+brbWSkL3X4oixHHU74Ejg2XTUSB1hFWexUOPd/ewr+3vHUblnnZMjvuGADe7k5n2RmpfP6lM+J1CU6DzlZ0tFB/t5pAuVG2XTEWBg5QJ9ZtNKoOdMhopOJaD4RLSSiniZrr9UT0qHt9KhE1Steucs/PJ6KT3HO7E9ErRPQhEc0lou9L5a8jopVENMv9+3ItnlFFHAHMWI56nraCotKb97DiMigh5AThqKzUYIKBXr+miPgMI5PmRoU5weZUVsOloHitjUcBhISrtwIQj9vAGu2B6no0foMxuG+5e8ITYNdJ8lSTeeqF5zDwc05PCNz+6Z6M7r7c2xCJcdsw8u/MJofNVlxn1zxSki1m71nc6DLzFBH7OUzxeRuKRayei3ORiFLOmJc1GWtSElH52IdBx3xlr//oL45DGjI4fBGZ5GQZgEkq45tnZs9Gd+RevmedVrsmndtlkDO3fvT4bH2/3f9140iMw7hcQjKSEvnF7fWpJGrKdIgoA+AuAKcAGAvgnHCIaqxS7EMAmZt4HwG0AbnHvHQtgAoADAJwM4G63vjyAH/L/b+/cw+SoqgT+O9PzTjIzySQhk0xenk4fJ5B2GPCQECK+QIDFukGR5REQQIbig7kpEXV/IY10jfOuCCKjLugLig8jqwip8+vkhjyjvRyBAnVoI8QyQEIWSSu3/Uvd23q6u6q6erqzuT+/u++ab7VtWtW32r7qlz7rnnKNUNLADO89W5QSk1W//9nsoyXF0o+7x2zov3Fv2abJcIcBWz8OVnqUzWB53o7JF9IWBBFvzCyz2Ob14Ie9hqRdAyouz59eKDAn9QuJsxd38f0zDuHIiHMK/sEryiRqEIGOBFE0nTwRof0RCKKSEmFgQy1fsBwNmiOkX7B5bZctdILnnGwx2D//o/hdytseFkFmgmk+jGmjdY2Yv4zJtkrvZ1AU4HhSLfdxC7YJt7q2O1sbA6BvgOcfcfv4inhliCad8+xfyudrZetpwTZ41k+QzPXBksdDKFgwfUhwafDYoOYmOey/cieouGmfCNluWPklEuktZ0n5gFblFLPKaXeA24CVvj2WQH8QH++FThKPDG/ArhJKbVbKfU8sAWYp5R6SSn1JwCl1FvAk8Aoqoh8nJl4vxTD86c87ssobIwgd/+D79CXHB+63oKs9sDzsxcfcnOahs80FYd5rBlvIjGxrChzE/YNEXaqmnqEnsqR0tnHfkhPT35hATZCH6Emvs7d29WZ5WUaIj5G2D/m//bubtfmBDLdecenDAUcHstBZ+2kInnSMOwB772AeV7w/XMa97nfI4iQckDjcv05M//im/9+pmsbY0BjgdRWDNvTNrd2u5+8/JgfqtBjbXMnDTGNjhs6gOmjWjmpJ5M9169FLNNCJ9i8lvmcqgmfjxne0pDXvDZYC72gzKdBhAsd7/imEOEXN0kLnnVGA/Vq1jVwBkd5HKdULvAm0RzlWm+LmAPas6zoReUREbhCRwLtIRM4WkU0isum1114r9poKUmgVnee9elTWw16Uk0nqOqKHVO1qbeOqrSyPtC5k8HMd0H8TCrvaswSxonY6NnZujsS4VOAjHMYMwbWRmnAWtzBAEdRFg7ls0In4Pb+W5v3v6M0m9ZbbDMa4ZDxg1mzpg2PrdsKpMPKmyrz7Qt00/TrAW+wfmNnMv143dqeYppcNFHMawDj9ZyI+U0aamtCE6NlO0pEMK9p3W5AfYq2puxoDfY5TRub6lKh95XpqlSNncMJMI1yy9zEvJg0BddjPkEnG6GdAfYq5Ywan2x10iUbo+L1NV84JfucuKHT6+BwVS79xJBCRgcBPngAuUUjt18dXABGA28BLwr0HHKqWuVUr1KKV6hg0bVo62hW5rrEvlmL+iaDlQ3ABXjAnKzOmkaoTGnuhrestR8+7YNuiozeBozk/1gL9YrsuNYAW2cD6B4M5QhrB0XL/dbfLPJSq/tq6KvCy1tk11zfS0/nO/dQpna0FPVbHTbRy7Fz45nzOOngTCijQi8nI1rjn0DecLIXDdlOr1DofjWhaswYbIfB8WPfz8UEnjBXJ7G//tub3r6/NtDXszd9+ntMBVf0LqrUgCBJctowQkcAJ/u6RLd4HvSlokbkxr/nN7F9fGbz+nK0xzMxEQGgt6WsZD0i7TLwKjre+duixon20iUgu0AtvzHSsidXgC54dKqZ+aHZRSr5jPIvJd4PbYnrqQI8j0TzfWp9ApoEe+Bi/rGUYwgKebBNG9etTWSIwALOhJItv0+ewGbhB5XLLbHXZxzOlDYXJPvnt4yqfabbQEYzDCJs0A3i8yd084kjJuYIkUKDfWOAaatUFk8axmeOncypC8byup5rKvTb+PujoTYVnGl26WNOofd+aezQonFGdZWYLm+PIElYmooBPcJgU9UGCK1vTCXZl9nschs0/bjh5FrM6sx2K/GbMnIXre6LgQL1qTfiXqy26pJK3pPABMEpHxIlKP5xiw0bfPRmCt/rwKuEt5vbQRWK2928YDk4D79XzPn9cCTSqlv2hWJiL34YCXwWOxXFIF8b6t2tkKj9ke1rZoHZPqoFjauOzRyexZ0BU+QGsxbWqqmJudGn3FfAvJbWdNJCJ7e9ceRtOXpqZg6or/WFaSWFBmnbASNX0+nbIxVmuo+6dgm8dgdpLYUW3ZZjsGmonS7FuySTamut5rzc36kWkOqyIBKVinsEakbTpy+5+Eb/QkdAJfvu4Tx0zmXnjh3DMtOw0GfnmSfwLnrIM0HRPWppCn/Mo5nXQNyzbB+u/rd/fsZfigcA+3MdoLb2x7NO/RUklU01FK9YrIOuAOIAXcet6anyQAAE+1JREFUoJR6XES+AmxSSm3EEyA3isgW4A08wYTe7xbgCTyPtfOUUntFZBFwGvCoiDykT/U5n7al2hYjMxuu7rcDHE7tYi3zjkK3VtDbVseNveyJrOibcyKs7dzOzM9d9OoxCmR3Nm1dtSnJU7kIPnQW0e81q+HPHFEofgmqAf1g7fQB2WOM+w4+2Mae/gMdkCvNhW+WO0+Rne0sg1p87lnP/0QvKYdBLFnUGiwL3S9fcHWaszve+qCsUXV0VCbCswYunxm8QtZT1kwhude38W5R07kd09787b5cl0FmddqayQnnXfnoIc3c8vGFOfWY5Q6zOltzto20Il7XSLYTQl1K2LNXpReennvEBF7Z+W5gwsGovLtnb94sp2cun6mJmZ1uow1HcJB6RQAuDX/rKvmh9fhc4KeTYS4BLfGW/J+RZV0qdVmp74yDfAGnf2K3N9bD9b5HfnPI2btclyWIhPLpnIVXdtYc8+xYaTZ9HdkftAQHbSJ/+AFRjWw+KeZ7cDsCfALGTeMONKFnX7+YvYntqNw3p4wGutS3Hz2ghztoJBmsP3tzO/dWuIq7iiyc4SV+Oz8oyYVfY5CZq24Mm9mndMa5AYPqGfrnZcuLriMsmkMx2p+hub6WSz80E7BD+efey+Z298xr2c9hXaqG3n17I73wHDllOL9Yt4jpo1pyttmOnKiKSZZprqkuxZ29v+rlra67nytVzCp4vH3bG2SBSNZKYwIF+5EhQzRgbsn/lP2Tn3jCroKNO6F2yncnpR7Tim27vZe/fuY+WcTt43YlDgflN0+eghzTk3a6GV8WYy+K08awziiqQ+fVRryeFb5ne155gVnCs0R2ZpOXOSL8FuqS3OxZq04KEWQmV8iTAPLFxUjCmmhE7DNvBDV1eaa14LMcvmY0dkakk9LmDumnTdeVLXTMPFJYkN6+End9peCETgKYm/Ssw8bnbLPVXjOnE3WQOGX+WOaMaQuNVpxzLn3jFTKvnXWYnt/jtkHFDciIKhKU9NnzmuGzzj723OTQO01g5KdQ+f4qIks4VQesbPaSZrqEDOK1I85QhnxBNyk22nLwSt3YHC2nYhzD2dr5r6VO58Zl2AybjPbbCWFvRmCZ1U+vzFctHxUzh8crD3bZzpK0rFBfxMALEmnMaeMGMRTL7+V3mbfCybgXjEDwc/Oje5AYMwse0LSKKTbVCNM1+s8/Fk6/Q/qzM5WHtmWCZSYM1BYn+5s3uiq6/yNjR2o+Q2dMNQwd2JD20OrreFRoHPVHqC6GfObCvsyPJEVYuwvcvgWJlGqhRrJC85gyniHdO0i/AjLm9L5rJOYdP4JzDJwRuKzZnVTlxmk4C2DeWGVyMCct+qzbmtTCvmVIxWlUhTSf7GJ/Qn8W3/2bmH8pljM9pNvje0jNCpngcgKua6PtzTyXlHTszadvv5iyLHv8pB/xSFNMhSmDMm3MkkLIp5nX/nyidMKekdGJdy85v1W9198FA9+4Zii682Y14LmdLQ1YJ/K6dNM6onSh03zWPkfBfPsx20SrSZNnxwmdBKixBhZzo39r9Wy2XrY866bLzOmUR+h0Dm5i6bQRXLUm+sSk/wHzmzZSNcK6JZnJbf/kr/1gnG6GzH8oc3tmzl62XLeeKVbNyto1obWTRRG8itthrS+KnyOcKu/qQ0aHb+sLa94/jprNzvbmiYOY8njaZfaE5n+KDGrORoUck4EuRuM9rN27v35kR4N/vHsYgyY17zazreOUsVOleunp2eN4qjvjhx5rUEnMJOq9gRoZlGgXgmdqmG4jub8+q745gxsalM1XHNa9FhekKvpDC4QfddvXrMf7HE6zMk6n6bQH+irnnpLE/FY+zbma5te+smI688YNSUd6DgohA6XP6dSEmLaAtKDZtdtzFhnUWJuVvhrieSkM0/abtEArn1dqxYvYo5o4ZzGFX3A1k1g1VA07oJIC9atn/vJhbb0rHIBboAJsrZo9MsHX5MW2fP34IH5g1kg+GnxHW688LFDGqs5dWd4e7bAxtSfXKd7c8kMeSXy1wbNwMbalk9L7MepZB5ra+YezrodzHRrnfp7Lf3nXLSEGV+6EyjsVVcMRtj7466Zr3E4eFSTx5pN9ehc/RijLdhzKeZF589veOtMlk4fwfCWRp6/dBkfnmFV9Qqc2JZy6YGzO5Kph8kGD6GhtyjtpnVQO9jj4l1Uzi9p/yRQvQsLUjtx1GVEo52+TVHiTuLEHn98v/LuOhWarLtNGUghIkHj11ODUCa+Z5Zkc7A62JHBDmVVcMRh74tTYT9iiOiM9ZabNLri0+nNBJngPQE/r59HKkHJ2OmelffZF1DvdXx1WTuACvCQMTJU/9b4EFWArhSB4skOalndE4gxXysmD2Kx798nHFNGFCd0zMLUlqbyGR2q2S06H/bgnqqpSTsolKrp/E2bmoI0nY7WJp67dHlghA+jlcSh6WQChWaXnvxej0LEXBZfTUaVYnNBJgPT6mH2Kzy6dwh/WL0lPmvbq2FLlCEUSB1EScNn47fDTR7WmtYB8CyCrnEb8tvxBhqcXz8eljJ7Ph5FmRE9j1hZFtTVXlvRSV7JTbkg6jU+r4aTLphmntYRhHmLBICcUQZl4zn6bnjeFGwNdxxCcVVi0J1jnT9jIx5bR+pGqHDCmtiTG6FQq9UivTahIiDlkltbQupmTr+1P6k6SRFnQ22KlXM6y6rhNtalePbrFcnUXhL2i1htStLaQVhemKhM17mYPtxTnOfe3jjNa/rSwsxrcczD2ULHnJK6rBpwjQQKY4JdBIcxNFN1qFTrGZTqqppOqEX6xblGWecB46pXqdZQ0h4wbzANbdxTecT9hYVc7nf3hue6WbERl70EyJpOdBSzUVjRs6oE8OLRmhE6N5zbqUh//5WFZdfQ8Q3zzcJSunI+SmKKkk1TnSn9TOCHAkMvdqoW01+9DamWcWYZ2Z0tjJxeCbcek160jTOlpWf//jofKbpZFp2UrT9le+dcQj3rj+qn0s2IzAArn01zQ21aG6yUxmwW2cbxghiktbU21WUcCWISEqfMH8vflxChuhw4TScBMnM6ufE7jCAqnNvlXUoi1jqjvdXj/q2kyMwpN9SlmjW7j8b/sZE2VPbh9obEuxYjWFKOHNPHCG+9UujkFsRdhtjTWnpifZK+WL9d3Te3j+9bdjeUHMrN1TtDbV8aZOCW/mdMISyPUH+u+VVREmzHtQbhBjcqtWTcc86GELn9aIwWieJMv/3J76wvJvFk4Yyd0y84WIqyd2fPoKJF/+q0s0oiD3PNaixjjd0oNVKaTqDGuuKyluVnD1v7v/PCxek0JRnvteocD+LACZ0EMJpO0ASo8V6LOmeSNEbdL8WOfeKskQwd2MD7JySXsyMumupTnJadPqDZqUzX8zwWHxTIhnhQtTbXpecKWIlzZq5WUZDSdg1oa00sLMut09v9rDKP/XlkVYeZD9gSkn3t2zt7o1nd0x5E8XEQ6dODSuJjlioNj1RJWmpbGOhV3tfPGEblb17P/za59bPpW6VA3LZmS/0MQ9np1ONJD7SichSEdksIltE5KKA7Q0icrPefp+IjLO2rdflm0XkuEJ1ish4XccWXWdp2bD6iBEoQZqOnEUTVKnTe3VPd64gc/Zs188awfEYHjXUpRISPLhpPS2Np2VqrgaEDG7h81cyclzkzRjihExMikgK+nDRwPdANrRKTbt9uZwA6l1ERgA3C5PrYbWA1MA5YC/y4iqQJ1Xg5s0HXt0HUnjlmYFTQvYIJgxhG5nthzs3lO6puNw9JVLPzSDb58yt9LNSJxqHQ/iIOkrmwdsUUo9p5R6D7gJWOHbZwXwA/35VuAo8WYUnVwA3KaV2K6WeB7bo+gLr1Mcs0XWg6/xgGa8tlO6RLfz2H4/gYwGZQ6897WC+95FDaCsQvblSmGgCniyc785jjwOTji7vS+a/KzcXLptLaVFd14bDiJOk5nVHAC9b3bcD8sH2UUr0i8ibQrsvv9R1rQh4Hn1dkO/FUp1Ruwf+KE5TRpa65Px2OrRuZ3tbvI0I5+y7URUn2sXzaV9cumJtAaOGtxF2ct7krkXJXCnORIAInI2cDbAmDH7/3oMh8MRjWOnjah0Ew44kjavvQjYAY86dVngPiJSC7QC2/McG1a+HWjTdYSdnCwCl1LVKqR6lVM+wYcP6cFkOh8PhiELSQucBYJL2KqvHcwzY6NtnI7BWf14F3KW8oF0bgdXau208nMAm4P6xOfczdug50nbeV8docDofDUYBEzWt6jmYdcAeQAm5QSj0uIl8BNimlNgLXAzeKyBbgDTwhngt7vFuAJoBc4Tym1FyCoTn3KzwI3icjXgAd13Q6Hw+GoELK/Rf4tNz09PWrTpk2VbobD4XDsV4jInH5VSPYX267/O4A6Hw+GoOpzQcTgcDkdiOKHjcDgcjsRwQsfhcDgcieEcCXyIyGvA//Xx8KHA6zE2nZ3/AXfOBgbvmA4NSrnmsUqrgQkcndGJERDZF8d7oT7hrPjBw13xgkMQ1O/Oaw+FwOBLDCR2Hw+FwnJIYTOvFybaUbUAHcNR8YuGs+MCj7Nbs5HYfD4XAkhtN0HA6Hw5EYTug4HA6HIzGc0IkJEVkqIptFnZIuIXFTp9hSDiIwWkbtF5AkReVxE/kGXDxGR/xWRZ/T/wbpcROQqfa2PiMhcq661ev9nRGStVX6wniDyqj7lKqiQfr4ikRORBEbldfx8vIvfpdt6s02WgU2rcrMvvE5FxVh3rdflmETnOKq+6e0JE2kTknVhF5SkSeFJGF/b2fReRCfV8/JiI/EpHG/tbPInKDiLwqIo9ZZWXv17Bz5EUp5f5K/MNLqfAs0AXUnAw8D3ZVuVxHt7wDm6s+DgKeBbuAK4CJdfhFwuf68DPgVIMAC4D5dPgR4Tv8frD8P1tvu1/uKPvb4nSl+3btengP8CbtffbwFW68/XAJ/Qn88FrtGfVwM368/dur8bgPH6PkhV6z0B/AD4mP5cD7T1537GnS1H/PNBk9e9H+ls/A4uBucBjVlnZ+zXsHHnbWumHoD/8AQuBO6zv64H1lW5XCddzG3AMsBno0GUdnwGb9+TvAGmv/zXr7GuA7Vvl3dFkH8JRVnrVfBa+zE/gNsAS4XT9QrwO1/n7Fy9e0UH+u1fuJv6/NnftV4T+Bl4X0e7UDk77/+2M94QucFPZDW6n4+rj/2MzCObKFT9n4NO0e+P2deiwdzYxu26bL9Dm1OnmAPcBxyklHpJb3oZOEh/DrvefOXbAsorzbeAfwL26e/twF+VUr36u93O9LXp7W/q/Yv9LSrJeOA1n4HvapHidiAygH/ezUupF4BvAn4GX8Prtj/TvfjYk0a9h5wjFCR1HGhEZCPwEuEAptdPeprxXmX7jnXy8iJwCvKqX+WOm2JEgtngnmaqXUHOBtPJNImn7Yz4OBFXgCdyQwAFha0UZVgCT6Neo5nNCJhxeBn0db3Tl223yAidXgC54dKqZ/q4ldEpENv7wBe1eVh15uvvDOgvJIcCpwoIluBm/BMbFcCbSJi0rjbn7Uxfm97eCmyn+N+ikmwDtiml7tPfb8UTQv25n48GnldKvaaU2gP8FK/v+3M/G5Lo17BzhOKETjw8nAEzSHjH1eBOQGyvcpshoT5TrgSeVUt+0Nm0EjAfLWry5HlN+uvaCWQC8qVXsO4BjRWSwfsM8Fs/en/RKwU0QW6HOdbtVVEZRS65VSnUqpcXj9dZdS6hTgbmCV3s1/zea3WKX3V7p8tfZ6Gg9Mwpt0rbp7nQin1MvCCiLxPFx0FPEE/7mc8s9oCEWnWbTLX3G/72SKJfg07RziVnOTrT394HiFP43myXFzp9hTZn9kV4avEjwEP6bxmeLfs3wDPAr4Ehen8Bvq2v9VGgx6rro8AW/XeGVd4DPKaP+Td8k9kVvv4jyHivndeENJluAHwMNurxRf9+it3dZx1+sr2szlrdWNd4TwGxgk+7rn+N5KfXrfga+DDyl23Ujngdav+pnn4Ed4c1Z78DTaM5Po17Bz5PtzYXAcDofDkRjOvOZwOByOxHBCx+FwOByJ4YSOw+FwOBLDCR2Hw+FwnJIYTOg6Hw+FIDCd0HI4YEZF2EXlI/70sIi9a3+8p0znniMj1fTz215EiAzscMeFcph2OMiEiXwJ2nKaW+Uebz/Bj4mlLq4T4cuxboVEpdEn/LHI5cnKbjcCSEiOzS/48Qkd+KyG0i8pyIXCYip4jI/TpnnyQS93zAR+YmIPKD/Dg2ocxAw0wgcEfmSiNwoIn/QOU7O0uUdIvI7rXE9JiKH6So24kUNdjgSobbwnLg6HowzMAqYCb+DlLblOKTVPvAR65wMX4MWC26CU+r2IjMELUzLVV49ZKW4zEy/3yQDgQRH5bzzBncodS6hIRSQHNAEqpHTq0S7tSantZrtThsHBCx+GoDA8oHRJeRJ4F7tTljwJH6s9HA92SSb7ZIiIDnlVK7rHo68NIV2NymlHoHeEdE7gbm4cUIu0EHdv25Uuoha/9X8SIwO6HjKDvOvOZwVIbd1ud91vd9nZF4Ga4AFSqnZ+m+UT+AAvIMXL8zGP1GrlFK/w8su+SLwfRE53dreqOtxOMqOEzoOR/VyJ56pDQARnmR2wz5PARF/ZChFpFJF2vGCmD4jIWOAVpdR3gevwUhqYCOMjgK2xt97hCMAJHYejevkk0CMij4jInE8A5/h2UUk8BrdqhwPAIXuj+e4GvKqX+gid8HhaRB4GT8eaLAA4G7lWZLJoOR1lxLtMOx36OiFwInvKWUuq5YN20RuRLYqJT6TTnb6HAYnKbjcOz/XE32HFExPOYEjiNJnKbjcDgcjsRwmo7D4XA4EsMJnHYfD4XAkhhM6DofD4UgMJ3QcDofDkRhO6DgcDocjMf4fhIQ16ZBalFQAAAAASUVORK5CYII=n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fadd1a67320>”

]

}, “metadata”: {}, “output_type”: “display_data”

}, {

“data”: {

“image/png”: 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FnFWdnDem3GYRUSyh2E/xr9hr85OEFjR5GU+PGp5bgxw8twJ0zVle9bSFQNKp2wJMLNuK8G6bhghun1ayPnPV2iaDSsMduiYnzljtn47VNLGj2Mpsb23hwAoDdXqHrbIr1Co7i/e2e5uTVraUewhGLPhSUUFnscnasGY+RJFgwjFAaM6AAAnThxVsz4G9nDV054MSygs9hiwt4vXQoRvtOqp4P22XMFKFBbVhyUUFnsMnxBbq1IBSCNVTozxIi0VBKGq3mQtjdtbZ/T28mgl7Ys1sC4uGoVgHiaJRyNeBUAhpJWMJRV0RMB+Nne+6WUFhYVAH+Em4Q8yeM2Ll87VVPllDUGU3gH2sJhcUeA7HeamPMFqqnxixq0e/Ly7fWrg+PGFkynUV80nkxYQmGxByGQ4Gu31TVqUctusY/P31CTPvbwDB4NQxMIFJZQWOw5qKVEITh6brBEAbgpz2uBnav22W6Ytwwd/+3xV2toT0Kg5JaPupVAtLBoHd8HVwutJrOVGcd2yRNHWkqlNH1XasH5w3/yqtLOnnoPFkwkoUFnsQip5DUC00T43m+vISoWivEaGwqqfGQDx3m8LDwqIOEP7otVE9iT4ag6K0i9cqzmF3nTqHezGg0EwJYQmGxB4GrwJn15Qq4+r752NkfrksgiFCjFrUckB0XS5EvFLF5Z39ZfTTDhmXRGFhCnYbHHQGxzVIFMcdtLK3HztGW44cnFoeO+RNHgyGwgPifTNQ+8jsnXPB4hdOn6KGtoFhWiGeizJRQWneww4oBRlQ0gjPcpG63s9NSrXU5ExoqMFQHy+p/vmrAUA9A6UnkG3WsZsi9JgU3hYWNQR1bBRtGVdnQ/GAqt4RXk8N4roLzGj3xhareqrAIm1VT42Bb8xu4BgsobDYYxDYKMpfcq1Zd8mo1d4abegtFBntnLe7Y4giFcKPNl0HRrNdTY9AM9LlsQkFEg4moNn54FhY1RCWcmSAUqh2g0V5PLqEwSDsSBBHJl5GOnvNHEcE/FLqV6IiKHiD5KRA8Q0UYACwCsI6L5RPQzIjqkdsO0sKgc1ahH0ZrRSxTcBJHZItAuzpgdnSBSlj7OW1fMszGgG+lyKRPEkgIMBXA5gHDPvz8x7AXgbgBcB/ISIPp7UCBGdRUQLiWgxEU2Jue4DnRMRENLmEMVpYGCHWWyULry1JomhgZHZrhpBxKJZQCAKRLyMdeTNsWBaNQSkpPM5g5px6kJm3AvgHngH8QUUtcA56q6gYAZwJYDWA6EU1l5vnKdUMBfAXASyWMz8IiFkGajfJ3PMcLZlM3Y24CryeHCFmHnUnH+5UgUgWeXRT3hZ+3dFSKzdUSijGtOBLCYmZcy8wCAOwCcp7nuhwB+AqAv7fgsLJJQDYlCbJb9n+YJyvPK2K0GRGRmnBEJRlo3C/c+MsuIwLMpDMxDmko3ZRPTtCvobD2CV9H21d0xu/y0A9mfmBxLGncQkRzSCiGZs2bapgSBZ7CtLEOjAzfv/0EnT1Gnge71Z1n/UjsyseZXnIF11CkXEolbSQK8vryW23nN1fAUVc+glVbe0puw6J0NIPKL5FQENGd0t9dAD5Tq8EQkQPgFwC+kXQtM9/EzJOZefLYsWNrNSSLn3QkpMrw+v2QLfvzQAlzxz9e0501qq4DbbpAx2yMU2YyDQpGxrXsAPQNmrr8cw3RRueeJ12tT98IinjF3F62k7M3/I+7sQwOMV9LcGwP7S9/28YwJDARwF4CkiWg7gZABTrUHbohoQCy7ORiFcS7cbJIqinQX/FDdbf9wwU0J7NwCFCd38ex/3wMXz1jtn++WKR8eTCjf73cmprq7TFqp/qg11CogBwrfL9uxX0nNx3AoUQ0kYhaAXwEwFRxkpm7mHkMM09g5glwvanOZeYZFfRpYQEgXc0IYS80XWKSGJjD/+uN9dv7nsPewNmQdwpLN3QCAR6VKd395YTkuvmW6/11no1i4fgf6cubUHiqBrSRw0SI9Atfrxo0hkVAw8zIAnIKIx3veyi/Iycx7ApQAeAfA6gDuZeR4RXU1E55bbroVFGvR6m2CcekhsfqZrTESmkRXuegby2NGXnx97D25FxCNu6BwAAHa1uXMV1Dy3AVUqxIFX11NWTw3t+9Qy+dfdcYz82hUcU3f15zKhhnXJAcsKonaS/xKMWYfXM1OmTmB5l5EjMfzMzXese+z8xTNdeetrtLEzv6Ep3J9kh84a8z8afnllW1TWGgVnXtnMnyJwnhJgo2ivKFVBPG7RnW0hgjF4DbX+/13Ty+J3KOqnnpyrhrp5WXmTc/G20XxlTtm4YO/ewFbnvWdeCzRaWgVKIxRWziwT2wyT6LU1XTj6qkdx/9y1dR5R8+Oh19bjh/dXt2RmV4+7ocatN1Em1WRAn1BGE/nwB37xrjnu8AYs5l3c7bck4yDqEHZ7tYHCrOcOOyTMqznCqSiFW8wTMW7sdAGJVdpWCm0CmnKIVQWH6iDMxe1YnjfvgY/jV7TeTcwvU7AAD/fn1j5NyeDF1hnUfmrcfSTTsrateXKOJsFN7mZ/Ien1RGCLTsDRqAUD5Wbn1uGq6bOS329CcIA35J1sLar1z/e0WqOp1UJhU8gY4YfsVFY3rEujIHoY2d/n7YhREqxEUSMs3rgTzy/ZjHlruwC4emIVpkyktcIvHnsDE6Y80PS65snXRB3rPvd/M3HGL56uqN2engRQ2Cu+/WaKIHs9IpUdLebRX3z8ff35+efobDBBqpNYMoS8XzKW2FvPyNqXwiCOi6m+zEkWAWj4Ln8U7um7O25vYQE0ohFJfXbBS7Ic74xdP46B9e8l/yuq5okHmbTyjqwyn8+olFAJrD3c6E5xZtjhwTnG2GlOvIBv500xmz9+aLGA0XeIxqiehISRSa8nDMxu5fq9RSolaI/YP7a7Tj3f5/zVVrVQrMzLM0CnmWn54O9ewOk/f6ruY0id64mZ9RFIAIhoBDN3VmdIuxfiFoPI9lkviUKgWZfn5p39+PSt0yPHTTENnpUJshmlUT6XsYXLlt0ZsfiZCETcSNTI7LgDvuocXYO7qLgxqCds8mmWf37KzHyM7Wv08XPVEXYLhnlC6Wee7P9USayOzjiehKIhpJREOJ6GQi+jQR/YKIHiGiNQCW136ouybiPGyy3sTuz9WXUDRjXYFpnizdj8jWPa4nm9r7KOVn5PcRKFN7/JNWTfF7mzhvxZAckY7aMuFQeKmGI86zJkL69SudRNabhhu19nOP6ax/Hrfy+qvLEKUEt7je4x1ZshSaN6+j2A++HmaFoIN2HfmwEsBnA0gOOYeUTNRriLQ36d6ssVni7W/jCjZStCEdAKzV5kF0vvnVO4VJhfzifv9Saon3fFiSKIwt330VY/guocWgJlDNoJKPWZ8G0U2nvFnNWdWJ7Qb3a7WutpCK4mwwql2j0s2qGtNQqHT/vaAyh5CunpzvFZeEem/Suv7qHRWfRvX0PID/nBjATQAeAPzDznQBARP/NzNZlJwYyE5YvMloywWIWi7O/hq51OjRD7pi0mLF8K65/7I2K25E347iFnLrQXpit0WWJl7jzu2e7oy+N3Ty9BX64QMmJffs+r+OWH32y8Lwkm1RMA/O6paAwFEN30xW/QjV4QnT5W4VGozct9DZZy4IGxOhdbkY69+FACw/LpzEq9lrq8hX/ecd/bnMbQ9tqpDVZFIKJj5MiLqYOYenIhoF4Aoi+hqAq9G86u6mgbwp5QrF0GKOU0vVEs0oUZiwVuMEUA5klVYq91hjqo7o8RCh0NzGzCGJnRvV0igtyS4M4QmHa0EpRIwniqaqrKlY9VXS3N4aiIBRVaCwlwlqCOvSn6aO7zq6yqbyemLnH+7+Vnmb8ON0fTRwHsTUSn13B8uzzkxSQCowQaVVqyGQmFaUPrG6jOgpAlirgNLikKVnc+ZMzW3HP9o2/gnsCseTjvUkjFQ0NsoADOn/bNHFuKOl1f633XeXAJC9aQawCuXKCq7HwjWUKaOlELHLNRSwtBJqXGZngWuBkutRAAAzr2DmTwA4BcC3iagyB/fdGPJi6i+oxW7ck/VOrrYrqZ7kBaF63ZSCtBKF2UlUHC9dnorhzxqrowSoilxdxFOkJBQBMuedV/3PgERb9AaIN1aW2chtF5fNQPPpKVU+loN6rR/eY622jSE0onSLObMfNsZj4LwFWma3Y37OjL4c7pq1IvEvmyiAHR27vq/dB2pZw9OySPJ9m+Uyrk0qVx7y6QGExenT9FjYcmwvtwmEKiesprnk3YD9YWFGIlCtWs0g/dctWwU5aJRT+CR19bXVXVdikTxJBF9mYgOkA96n6cIdIroVwCerOromxHfvfQ3f+sfcWC8dGWHVk2JA9CWK6o0vDZox0MnkXjhtSRCAV8m6SOL6gz7MnKpjQeUPbbdmo1FPrTWzD9n4QAcMHRY2bGiHDh6ytKcQ8FDH+gQihKG2cKuQuV23twTX3zy958xPvno76qp7p1BUBPkG99YQVuqUJUf1qUQijOAlAAcDsRrSWi+US0FMAiuDaLXzHzn2swxqbChu2ucbU3npaeSvCmrC63gsXH15oZ2JYnixaWBoTdfRvlOAXmxpbJRGHjFZPdYjUSRMLZKX//r67Zj4pjBGNyWnxZ2fe2voXFwQmsgFNWvlNvzF23T0Xk/u/+29YXVHNSWKS297BX98bhnmr9te0n2CSNdzCclzox7dnmh6zSA9UD5QSmd0H4EYANxJRC4AxAHr31IjstAE28qY8oEoUQvVUb6m5zoSiL1dAe4J9Ic0zqMT4nL6cGic9nFC9RBOeDC4Tufr+Rg7SV42qtkd3Zn8fIjlYAwIkTR4XOxTEh3QN5FIuMC2583j+mjaOQnJIpRg1v9lNqV0ok4tWxa7AkShYlpqVbGgjQo15idY+Z1eyqRKAXy5qZuIkLMrj+dqN9Mf3LhRhz+nvYfxysptsdfJz+mDx++nvSYu0jgOyzZ3h2IxYm0U3n+1q2mLN2PClAewtTu6OIXapjXrQBc76ZS1nytIjVyj6Uf4A8OQ3T/M/x80tZuAH982LHFMhb8IjOwL1VqU68qoYs73nHZfXqpaox0oyTdfOlAGCn1UCNp/Duh1InhrwBRiQKMQPqMMk3bg/iEeqpenr2DZeTn7k8nlDIRPTdR+yNb757UuQa5vI2p519n6VUmpkp1ovjPnNVR3khsVi2OY1A9xb/fSl9/rlD0MxEDwMQxg/3PSU/r7pmrE9uXJaIlm4I8Q03hnHtsAz0F9rEwN+zMcV1XZtYQlFKWixL09H5IoVK8n9/ucVZ0194teLxGKehqz0z4nmYhmM2RURcQZnXdOOoZRU2gJ+LIFmcQrbSUuWtOOrtVYkX+SQRCEjSV3XrcSp6Lh8k0G8GQLu2Fc9VaGxtH1qRl5LnKd30mOspQ1lCYcCOvlxVypTKLoUR1ZM0A3768MKK+4pDqGZCTXsKI0iJEd+rTFAzjmPc4MqxU6iEnohyvp6zvIho9L+5pzejHXWtudyBfjATbHbv/CP9cKdD5C5jUOs3gPSeWVMPcYzWP4EcPvq4tVFZ+nHyZKUb/fXDKhIBcfJ6Lve98PIKITqz+0xuLoqx7F0Vc9Wta98uKUN0A1M6q8qbyxYUfq9nf250tenpFlJUV5P//ekJHsC8rPIOhSJAhYox06hqn5ivZ4M18RJFOJQS8bRqsYSvZ4q5A3V1DAAcOvFJwAIn1BM6VZ4OA4VihLjInlO/ueg4/3N1cj1VBiHB1TPFeJLq6aZnluIrd8zG9r6cMSljpf0BzS9R3AjgnrQAu8r7vAHBD1UbU5BCccdxLWrk10OPKLp3qJhNnvzBh4/Y+HHXlI7jpmaWprhcIeYXUkREM0nbHnoxCSKAgFk+qpDO8YddOP3aBYf0+QxiJ6r3Bzbs06etVYHVRPajDi4DbXoVHMK116DxPUzU3m1ge3nBd5rjVY9zV3dictunwWgvsZs3bh1x4656lEcUyazKfDl22fh74bI/noKUeUQipOY+UsA+gCAmbcBnaK3qqHYBxKkTNmwPaj7L+Z3iCMWMFduwPkUCPNH21ApSb9c1jiJlISB508k6hC+efoj2unJiKaIqnv+RxqJeIzVIQBVmVJppvzTha1Y280U4+cKSxz3KR06iexMYpqieWQii6lfQQMo+RcRx85V2HAmi8nMfsfkiFn+Rh1AAAgAElEQVS+rkkBNQOvlRruvph13uwSRY6IMvDWEhGNBVDfggpNDnmhydyA0evJnw8qtPYltizQN+QLjqqnz8MmbX041plBQWJ1Eir5cAWu29abqU5UoRg1u1W6q5dgoSsl66p9SLskonNopQ+5J7rI6QhUqlxvVZJgYKjKxCCByH4BDQOxBIO2mhZiaVY2BaHMLXzpyEvYa2oWKZoELvoTFDn2vzPjcv11Dg7zSsrO/Hq6voE3ZVDKH4N4F4AexHRtQCeA/Cjqo5qF4cpatsURyHQlmIxCxVDvljEnn59fjqff2JRqTGmL61QT3/7HXNw/d12qPsMShfscdFxwOTaKUuoomCQK1UYRyh7rEYe2rIOixoVXn3sR0hK5SbjRfLKJVk+cp6zhY1+US6nHD2lO3p3rgyeMXBMkh0kpPpUAwD5t39vvlPUvxahs1JFBkn6PJc1Qr1do+Nwwd++3zyRVVA6shswE/69wzcIkbvgsssnc/Mr9dgbE2JNBPClCt+wJAUUKCtJZlQnZLxNtFTOWr6+YlVHoYjeXAHDEgqnzEiInZAhbzrC7t6iIZzlSBRRLr90Y7bv9aTpX0gZgmsvMMORn5AiZ2dU9+0pVOLl8MSJRAK5h+vklWwAA+4xITyjUzKTy8ATBdKi8ebR4Y+C08aXbXkFHaxavrNjmnM1eltCnbJUQ6kj0N9dIOlPR0mZmJ6EFmPhrAghqNqakhXkucpGuKiYim8Ah/T2OQE1eUmvJA7qpSn7ufS217BI/M2JFYDGz9iENZ0eqqnhE5lTnKwt+h1tSjKIxSKRBHDCZtSeKiqJ/m0aF+kQS8UGXLGnEkqQKCon3Jxog9h3+KDU7fWosRXS+IRES0RlEbg5qwJVybTFWyLnSwmolB0LSlGtVQxpiI32EK5lnrW4Z5TzdV4johKqPZDeCutAEVNWTWis7jdgtrijVqFtNl9hH5m1wx5LQ5tD2gA9JVD1Ji36YlwX1n5eXRym/lqJ5Uu0I5SQGF+kXnHiuOtbdmtGMMZWnVEgrjcBLBzMgZVE8yRnS04B2TxobcW01Qa3jLnz8uXKJzyVGZJ6UxKYQTkGKV6xnRoA+4aRTDqpHEry+sJwItEtISI5hLRq0Q0t9oD21WxvqsPvzDUneFYlCvV7mr1fLFrZsyoNZCJULaKRtGnLRtBE91hpTILAXOZ514SuK8uYXYrXk/vfGHDnXbChqw+/neWKRu1EXFIlCIUxjhwZG12rbKHIFBrPennPzpyb7n4kIt/7XiXjfsfv6x447YIS2zajxP/jcItsonShj3q6u7sGlHfyIHXIqNQmYAqu3J158vGL0QtTaKBhm162WZKYdQvAfAQQDeCeB9AN7r/U8FIjqLniBYS0WIimqI5/3mP+MwmoueI6IgyxlgziEVtekHPS/UTVKgbqxqAl2bhlbunyJtRtbgflfNUIdtcnkn6bvDmJzeiIfYb5xz5x8oEAynWPDdomSkoKqFc9OYoxe0d/Htc/9gYWbdwZSBQtQqIIj1F2UtBtnhJUQ7m09bibXEYOjHupJGXvv/eIpeMeksYnjkb8GNorSVE/v+9/ncOYvn070/S/lUchBmaXc95cXnlicmqfz63+fg5B8/oSfshs+AXnXGzFi4Pn1AbSmol7NXOYTik4a/RHhutTcAOBvAEQAu0hCC25j5naGZ+M4CfAvhFGWOsOUwvKC71r7oAVYniz88vxxOvb4jtt1zuU9aYVIv3UQmdCrk0Z9Kwdedbs8FDnFhtape6xWSeeE/ZVT2rAnaEcqHvMfQ6yjULX/9Hjh6M/F31mlXDDW3a6hGJ0GYQC0McfqAxNyEbhn6Y6oDGN2Z08uMZ1Jaaqn8qTk7/9rHt5/Y7y30MPz1hvb1cdRuP91jMCfnluG9/zqGUzXqFIrRTPbnKLqlvwLcTX9CyntPBLCYmZcy8wCAOwCcJ1/AzHLlksFopKNyGejqNSf3UzcZlVDcPXM1Pn3rjNj2ny91U0hbu0eGOl1ei0+NcgYBIxhGKnoE87pgexJAkqp68H3bLxYH5S1anZDJh1U8pkO0KGYdix5LknHqtKCw4F3mxCclDHWCgyjh4/HIfsNcQPgNP1WQ5EbYhRGkJhqjH+8FdPxTXnHwVAX8dB5YpDNopMnIFGUM+ykbS1J9SRLsYJADx/UUmcbhfmYjtCJzMMrtiTHSaWBrD5sWomCma+X/q4FcBpcVVQajAcgnx6Ov9o6FQERfIqIlcCWKy3QNEdElRDSDiGZs2pQulqAcqItGfDPNyz7NRuC3pdyk2zSSUK4uVP4dnpayp+Wu3Y8o9r+Ibd87xjwmusj9G9TR7pZKOO4XX0+HjhuL0w/YK+pEIhbARVCpRtDhOKmIb2bxJnHA8fzhcZ+UIRLRnyXVQjEgW7qquMQ1pHh0r2OJFuY0RH1FXZJFEcPm4YPu6p8nQcfqyNokL32KTAnuDivp2fe2ITDv/cwZq5wOfOcl7rEHUvJQ8HRVz2C7v58bJ9pf6IgVLr5uXnnQORYGpiisr/1nsNwn4OgOAM1to1DRAUBfaaZMMPMNzHwwgG8DuMJwzU3MPJmZJ48dG9WzVgtCD7phex8O/95DmL/WFXhMn8yfuxancaKmZPYFkg7eJs5LnbynclyB8m7uDyS6Cm+Ikik07w8b2pB6LRY5wtyGJogJCIbtRZjJ6n1VN3fx7ru/qM2WOFiK9TH7qFgxxjrEWxyMiQ68KpIxSVSBSCw27X1OoWEkXc3qxTPanaNa3XU4nGn7Lj+wn2Zz4n66S8tcwlF3nvuDlFZDNSOvjyWb+mOlWLEb5x8zWP+MY5ZS3FtlbqpP7lwo/Z4Pav5nCZQcpUJEryJY9xkAYwH8MOXtawDsL33fzztmwh0AflvqGKuJfIHRlgX+vWAj+iT9cjkFdNRNLknHnr0O5EoU8gUtpQTclxYYYN/6v3DG7hF7c8akLoDUkUYS5dWZOnb5bXsxZQ3GhD/3+Bcxbux2/+NCxn7j3GtsLfc4WiF8dAEjGL5vTKOBT6PTIqIRTiHeiCNQWhiOPi06ie5PcsFwoqh4tPemVxjICwE4nHnlSswshkqeyyA+/tDatkiazPRylKBvh5FcL8JpaqJTPaHjBOo/epVsKkciUJ4Ob0PwLsB7MvMv0l5n73QAhxLRRCJqBfARAFPlC4hI9ok8B8CiMsZYFmav6oytGSHDNB3idOjqIihHoijHKAzEq546ewYwnYcoD+OesKM3WNSc4/TjVU9pxCRSKHNnQWiRjdkbi1l9YsgUTL38QczXV5nSQf3tLRp96Yp4nKZrcnY00YyLNfYc4kURTY/W2mFC2VqJ7EO2jTSBSCeAwfZI6g16qepAE988Ym3PbSSgCu59mYwa6rr5PgnPVZKfzLiiGaQmNG9Jl90kyGWOxbAc26Q5oP47bG106Vjahr9uPVfMqEwXC9LUM2sevoiM6/w/tYwnc56IfpLmRmbOA7gUwCMAXgdwJzPPI6Kriehc77JLiWgeEc0G8HWk9KiqFGs6e3H+DdNwxb2vhY6bn3rtpQsub/0FjB4fOJbnHpkG53GecMXu5Z2S7edqyVG2JKNhuTQT63TNXY9J3H4rtXwfmqFpCb6Mon4plFrk3qmZR5rmRVispBRq4V2WFVF1EDazBQCFRPpsSBQq1mih5WW16yaScemx/v/SbgSxSatttbnMrjinDfhrs+/1Xi/LhuAzNBMWxy4e//w/KN8btshKksNmGSjiGvTUdSP+YJb2a/SvFNxMUZx0gMQnnSeV1hGXYXpSskSxo7+2lTEFyiEUZ2qOnZ32ZmZ+kJknMfPBnjEczPx9Zp7qff4KMx/JzG9m5tOZneV58i9WBeMHCLU4ar/4Gw2FZIrn3C6fglx8+NtKHgEjYVgoSJQrD8UKMREGG4/I59zzjfx5f5Pvund2lcgb951xxtLd8kbxahnpHRqrFRbNk5gA5PpaKW8ZTH+YP75vnFoMKqp3ivJ2FDSLvcc/ki8gVGnS5Z8203UmB2vejpp4qjQ93dd/zQ++5d47zcBoQ41SSufOfUgHDx2iPF+rY1Cdic2RHw7DkVsGWmQnxAHHEfFA9eReI1KX6Fx1mRmLUhQDKxSVPGjK1NUNZ8vOAQ2T4hmz4+wdJRIzE01VifuG7cnlCSpFnakJBRF/w7BOHeRHZ4m8ZgFdrN8T6QEw0dfMzcTim6SATiuEdLbjguMDOL0sUXT25srwhkjnzFMZsnZfRi3iVxT2u7+vDLx9/wN6eunvTVu5ISBAr1jAydMfu/756LQV6qjF4DoVjb1Ydbpi3HxbdMB6Bknps3obRQCglCkldwGCkUMFIpocRw/YaPOmO2QWaKoBP35ArIOaZMCpoGOww+nfNe3m3UoYotJgyT1nS7zqyRufd03RI8CuKiaMv7ywAmf+8hm8vCw+diFfLIbmg+oerRvN/7v5Zfy/m18OaQ981VMM9dQxnUHEw2Sjc9CnB92q53cahFGP2bQAeAvBjAHJE9Q5mrn4kSZ1hVjGZjiernuLu2WlIHJgErco0xaYWnl2bcUfSsOpCmn86Y4EIVW7vjiWKxyJGNVHCz7S2B/h+ATyhMyRf9Nn2XRalNR2/4dCO2g8ypJq8nnFTmvdGhLxjG68PoSRS1sFPliqvT0JqiGW9XtNasTObzjpSamdNtPUj3F3Os/X/d73pNCi8yR9TjXnq9OwYks3TpQkNlWqLxQ59L5UiYCZI/N+s+fRJzOF4oo4QqfLE1YOVMnbVNagmkhNKJi5C0AX3GjqnkQAOBdAOuAYdZn6mNkOsD4ySg/DyiBzXtyMWz8dPPiByLhRJWqYuU0cUQmolw31p6lGUOiSd6smEnpEWi83oSG+D737Jf6JwY/zpDLh5Vlaa6d+oWc3s2g95cAT0+oUhpo8gX0Z8vor3FMQblFYqIlSjKn0fUL9OcLaEsRgW2CSgcyDikShX5jb8k4ZW1QF/95euz5uHUhxiLen7D9FIrm4D/18GHfC9vP8kUOnewQq07TIZklgIF+MtB/3TEp1XokzZof6NEjW1UQ57rGfAfAVuK6tswGcDOAFuLmfdlmYOAHfC0I5nbprOA4UijthnGK45/+jYPsrdHHS3pUmkFlePwlc9JbSjeqyUMvGTCEWRo+0PbW/BC5e/E2OHtGFtnZ0AURL9LN3VDB3WBid/15XcegmcXbdY+w9asu/EJu4f6KEyPZqBQ9Ddr3+spUnekiKxDRrXEtp7ynArIA10bRXolEIT2ss44chycXbgzNJ5NEkXEolL01DqV4JKVSPUleTxkirY3C/1lKc6oUVCiy1uspnGLx5nvcrqqet3QM461fPGsdfsurJZKNwKJSZOSnnWjVQzgz7CoATAKxg5tMBHAcgnZ9ik2Jr94CRnKpeqesoVipGCO3O+/24ctvfQkO66lCyZMnS3pak1EQoSMtyfNCR1zyiNUMQ3LoLSVOwzfBCyGcdPnHeG25fabtPCEFCAe+1fPmBRJCvjPWWswYcoDvhpLbH7RZ2RgJIqMvpyr/hEuqtG6Iy7nu7ZT77xgnkozSYHtvDkMTCkjFQahzzjlmH/zuE8e7HLr0rky2j5YMpU6nUgpPFMdQCKImqxR9G0VEVegiTQnenOI9ABhvnechGAfZVUibo6qvEw0CkiTCyI0jZohaaqgXKIRR9zNwHAETUxswLABxW3WHVF2/54WP4nL4NIbBSFTRxmPlobYHhHCzraMop3RbkShUb1VKJEYYom1SdAM7epbtTqIpdz0uQSiIrO60mGzNmKnBWriVIU9QZwWv92haI4ikYdHEDIRxR1xezQ8h3yBPdVTxo9bUNO4FNndkI87IFoDfHBrBl29ubLVnB529OQzXpO9IC/FYhSdNhqgEiSJ+3k2dsxYTpjxgJJC6cWzvM296vuqpKAhFERknXqJIE7+jW5finPo5RPfXnC6H2ddHxMkqx6QExqieHQilbzjxi75LaLQflEIrVRDQCwD8BPEZE/wKworrDqh/EJNlinMLaKCRixURgoRa5Q1NYGyCh+59WUKMI2ingVGhDd9PzYgYS+1ftUTkuNCwlt7omqp6jXk4yMpi2znR1pYXehGcbuqLdVYq/YpuGlGmFgYVZNFRn+u4EkUIhAxHMG/bHM3MgScddS4yP1CGtBxhWlUNl09nOYyICahLgiAQ4vHu6M/jlmnL/RrWJuKdzTiJKd/vnrkaALAgRYrt848bj0EtGWyT1mF3fx7LNwfqnRT/yXUgUHCdReMxCQr/5iEQRPs9Ir3pK8uhKcugoBZef/Sb/894l1EMvF+UkBbyAmTuZ+SoA3wPwnJwDnV3tg9UJcWnAgRvVkWCMDhaj3DhA2Ej6/eHOsLjMOYvO44aNvwYXH7+eNJXlDCW86qp5Wd42LnUL1npZ9IxT5FVypvwv35YmwQWUkShVA9GRawzA0CHkfvjYWUHEXq4habX5EZZ/3qWZx47ePGMbnXns+d5lPGT8MkbyI1PLQYALDO4MHa0mV190widXb05bULAtBB2IdX76e6Zbu5OI6FwklVPgU0hWUXpnqlNasKV7wNe5f+JPL+G0nz8ltSdUT0G7LqGoRKIoJno9GVVPhTChSHKp7izBnRyIjzk5wEsKWC+UnTCiI6OtENB4AmPlpZp7qpQzfJZHkuVNqCg/hKqlCJhR3v7K6pDGGx+P+Hzu0DUeNHx4Zo2muhupRnKNeIzXHJpm5MmPIAXlvTpb02mv02aHRnfx59MRIFAG0QWe9AAQ++us6VKGIIhaNRPZki24NxCs6Tn/U3r5WVb8eLSrdjoBSmphEKooJiBhRt2YOOOfqXNMPKFIvpyBbS3SBKFpHp6canrOb7Bs0McqCxwnUR98w46onSKNw8PO/jwGt5Xsk+LD8SUKfQyLaT5lHSdR9SRaTGPDzWYIIwe34t5Za3D49x4GALyinZCD2CYWvenKZC0LUky1tuox8gUMEOZpi3TzP+nPhGIyk99XZW9o2Wa8U4mlQjuppKIBHiehZIrqUniGqvIKshkvSGfs4Xw3EVuUJRG4GbcQLdb5qCMsbxQNK3K6J4HOLEa5Xh0xVYcfXA4WNiw3520SYcndeUjmLYoXN3PcYCbPnF87Lh++MB8fPFvr2DJpm60xQSN6WwUIsW3CvVx6NRac1Z3QYe8QQ1nJBSSnRCGM2XLySNGtGP7UL70NF50YuE6LmJALf/cCAGBHXzAf0wT99ecLFc0n8chV5kZ8N43BNWbHUwA/nN1OK3+EQ4Zj9hmvPibUmhliQCYXn9RTtQqieqmDMNrnHhuIoOFECLNUOVa+iRGlQjurpB8x8JIAvnAdgHwNNEFC+fNzGSXp6JGzJNipxXm0DFs4s2Y9bKTmze2R8yeh1/4MjI9b95YhGuuX9+bL9EgX45nTYBsnDFbXfAEYMKUB/Ch37+g9B2+TyyUWR7n9+j8cPoTgPDuI8fhinPeBBPkusRD2s2csbzRyxuxnbhGrqcKZoxyzUG+ox/O+RJHOmF0oMvrzBbRKNoqfPLwAq7a6qiaSVF6A69hwxpuCmhsdreFN/rU1nQd2uNOVjcwWuLODOG9eQtvA4WhMIhTBmr9raY1R9it+cSvXkEMaPGKQ9J5qPqp7c7LG6sqw61ZOOn48+rxuwIRxhVcQp1nKxqTaN66tNUN4zDri5RCGwEsB7AFgB7JVzbtEgSF03GbJPyKZcvxqZqWNvZni3YpJfTXzpiEJ75+Wuia6x97A398bpn2fj8AkCjgsFKonnRRpAJRsd39tWr6A3XzFG2O9KqrrTfknnNGp4gRk6WtIjApF3gxlv3Gd/tjPAOt9dzPThq8RgVHqew189KO6aoFvnDkJl599uO8iWmRX4pHVnYyIbrTgiZ8KQNwCZULy2pgsvLdsSGYsJ4rfrMseWClV91aLkrbr9sycr5x1s6R7AqT99Etc++Lq2nTfE4klRUALykivp5IhiZqHusKym6KS2SVcQ619tIZLb63hGdY3L/uuM6ZB1CX66AtZ29eGnpFuN1nMpqITpRlo/giET0F4AkAowF8lpmPqfbA6oFikfHH55ZGjgtuEDC/fNMaHjB4PcmQVQWOE944TInjnBMRwHKKIzjYOchyD+pvU9WPiZEyqJ8FZdffrpbNYQiERgDhdOxHhw5P3x7hh7SFCodMfBxIF+99VnycHnBpXjYjOJqK+kboYNasHn3nEwWjIO8oWi1374ekH0AtVTcIGsUuhoDX7ze3/zXGyCOhXCFtKunqUWRFuJZDm5VCEU2XP/jiH2Hhc7LRu5/zdaXlBE/OY0KrSVDWkkciD4HX/XEQfZYlbD7w5P61hnfn80WOLUTEGolCdpKQr44j7B2tbuT/6T9/Ch++6UXjdTLqVWsiDUqygpE78uMBfJWZS6tM04S4/9V1neGphNFX1qT990v9sWqzGSF2DMfvC4/fDXTNXo3egEOKOMxTmRCeM6cAbG3YaxyxLOCI6c7uk1zbpnZEO6fOUSVTUQnqBmAiMWkHDt7FZcPEUzpg0ACBOKoTGqJ8AlqgXmUJxCv0ac91VO0nfVUC7UAOrInkg3kwSYpPH9c18hwS4M9VY4vUciEQrpU3eTjIuhVBJljy5cohGTVkaB6Ur2f5KyypuSWgiCmNWabnPKxciSITyaeUL7gOEO3ZTKSssM49VhfLUygWQxJ5xOspxkahSvJxr2tIWxbrtvdVlNdLxfNT3lm1n/FFJKIkVYZfcnrQ7EAkAmLMqOaDc7PVkMmbrdcYXneQaMHtyBd+ACcB37xPQcSXfvGsOLr/HTdArnSxSjvCIyafyz5XKgaj6aiERhaEMlmkJK2ekFSanjEO3EqeJkIqJytSpcf3kO2ZV0hlK16IyO4xeLnX2XaTJuC3IswrGczjr9QVYlFtU3I/ctERd3k4zYtFWJzrMRGIYiN+uzJV/O439XU1qZAPBmORjVqnglxKFghLyWJN+DmepP9Zh9DemkGvQf8vd53TcH25ghpwFz5f1EgUQdsSoUA0MaGMwW3ZqhIJANh3nxCAcOHpw8oVVQDkzbCYRnVD1kTQAJx80OvGaUlVPpoA7oYvuGyj4ZT2BKKer6+7umatx+8srQ+MhnAkZ5toEtcplGw7hkieLTt87AbIlIRozZoSFJi1dpfE1nLy666UWf8Jj86uNUT/IiTUrDLYyWoZK0nmh/s2ygUXbYMsfgjEoVhw1FTlQMukRftqPumatsKq54CqL+5GNq0kgiFJ1FUoHp626FjAAATx7gbnznXvd3OUbd7Zj1whiDFQCao8h00So2/MTsH1tmTCqdLlueR/9v7JdiTHIQxqcSLpMXT5y3RpZPpynhdC77ewZwM8eWeB/j4ujKCi6J0EQ9x0eDYDr0KhVX1iypawql41AOTPsJAAvENESrx7Fq0Q0t9oDnqwdOmBBNqaDCKFHoNqgiI19k7cYo6hf3KhMzo0SVJqkbZK+n0R6hSCVRKIt11sqgPkR8n/GqkBeWnbjHeH6iezNNM3hDiVFRAkAJbtlGs3Nqj8VBSv0cJciBR6I+rkJsU79JNte0RCq/9K993hHe9foNVnj6lpH0rJByaIWlLqiDh8aPL+WPqj/8Sx+48AALzjsLEAgOseWoBv3z3XJ1aqWkgwKbpzAoF7bPI4nMlKFQEBx5xZpNZTcXcWiK1EMaslEpGTfRCEd07lS9wwUQgT5pmeX4oYnl/jfmYF+w5yQ6ThzME5dnPNBgxbvt1dVduOgPL+KnD7tEqT9fwOX3vBrKF9VEJoqyCMV7ABwMN1vs+xDU0N7lkKaQTCkpmcQmnI9d6FhCby1VT54U2tkhx94T+rnnAdZt1iHy9slyXwXS7yk3JI1TXQSgASRCmmLGZjHhiozBVSQPCnHjEmrxcB8tKg9OUKvoR28S3TcdMzYYeESPEZnerJIAmYODz5Hf3Hwa4kurV7APfPXeeNzT136F5Dnvev9UYfG4h4JOo2TKJK8noTqqdKCSPLGJm/W98xa429cqupJDhwU0sXdM1fjyn8FpYRLicxuyVBIn9aSTKGQCIY5niDCoVUMoNDVWdPr8noGCn64E0Ks/jXMilDonGJ9OLac6amz0AiyXbHLtkQ/MXYfbnX16JHxk8yBqNcuIoVuj+ajG4WiPJOwkwi/86LlpMRJ3n0ggv2+P2vnxoA1Dz1CRtDqu3uQnWiNx+nMg6FFonJTTCqXgoms7qQZaNfGmnnzhn6SHNBHOM8uWQjZBxBAYJnlS+G06Q8vyTsbugPU1JVqKqnnPz23DE8t3BgJajITiuCzWPT9+aK/iTmKLSIa4RvWZwuo6TfSuDoLiL6TnlspUAnCrS+4S1vlkvcanGqhXBHH55l1z/OuBgBn50YMLkAS1Sp+cwVasCfE8/CSWXmR2e0vGmJlVfoQ61VPPQB5T7jEX6GQGneg0FsorM/o9kDmwdOglLlSjy/rVh7zJ5Pt4ybblxXPVGOfUovq87zsxXVz6c+iKNQa5gUCHoFrHgnjnUEqDXr4NRDx6C7Px/adDIOhcT4kIGMOcRZyeccIhC5YndPiohP1Zdd/j0qoyVHqxdZ338aCDfgnWNWTnNI64X1kHHc8btyCrM8O/4CZK1y1mmi5yMFGfsFx43HvLNed88Ynl0SMFDrV06qtPeiUakbonxikOqUZg1bAunwNc1c/l0kYld5/ENPgbUxV1FHH5tmS0SlJzkuopDuceuy+mzlmLbCZszA4Z9RXVn01MLN/lrI2NSPWltFHqJQobsQSj63GFI413gsI1C9JXVSMaqjeIuj7kS6tbASUXbFQDgka++vaLanJZWgHJm1W/orADgbwIQqjqluSOOnbNobtYQihqMAAnfKsKuly6Euv+4cnPfmfbFWilT+7dNLcOh3ng4pc//diwK2JLga1ZkI6e9PWom6AYdVT+Nyvn1gUtGfY4NJAqIfibA+yN5ZugclwvIR+7Hm7CKhEn8Mqp8wDImzT7Hji//PCb/es6eweMAXcyTv3pk3hWSk+i00GrEoXoe7GnWtCliXj7pLGRuRJSPSUQn5kItJIqUhEJWExrvSNGU+IUtinusTPxV1RMAzFixDaJm9qCWDPJFDhECXfoLnUShZmZQ05wzB159nKs5nha8AACAASURBVEI2CgTvSzc/1GDSx193E2RmHMKyzd24/F6XWYgjroeNG5rKAacWKFmiYObrn5e9E9HMAj1RtRA1Ca8ZJlQ5CPS7DX7iGxdaScdzyidKt8sT41+y1oet/+vDC0PdZoSRp7n0dreVKnFLLqybwhyWqStDU0JozuwPItPRKhCDaVYjGc/E8mUkkbHhGhL1dEX24A+40M0j2YvK3EUTcpYLTtnzp5cSJqrBGoWVjEkUfheJ5nppkkoHXxKiSIN554WaQmFifuXkWZcLU7gRiwzFNpoaVk68NR+GYd8nd/Pu/jwWbdyJEyaM0hqC9RJFmAjsUCSKIrOxMFDIRsHx69/k+p11CJfdPit4l5WZm2qGagyrA25Zn1F0aJoOgaa3qDgsuKK7O8NbugdDCSrsw1Wt9iUJRPRndY2NcYOPSRZcjUezr5ewZ5C0O+dkKX/bVn23owYcoDoTQhSaon+XSY+4wfmKx6ktHdn68o8ZpwJZXH5tsoPMnHH4P0+MVnncooNu+Q4dokSawUnpCU6MvE3MRppWhL1vgfyxZCUIrepS9QosjELGwUAfOPOObjwdy9g+ebuSN10QE8oVOZQlTAY0UBSngSKHo6lEX7o1PXKwPhV8xnFCa9Gk5fj2WYdrj9cL5aTweNVzi51LRPMALATwq+oPrb4wEgoTt8qMnHX05/PapJaFsloCZM16xtRsbd/TjtpdW+sdK4QbljVRMqEGtmVRZKQfyjMPHDdWei3OPlU+9vm67n8ToZU84+HBedeADee8w+AJRN3ZNshConF7JRxE/HMKHUSyUqlwfoA+4EKmHG5bQWcr0L0ae8Cf1enyqIb2L2incv3JNko8jXgQtPY7YDwHDetkTRzW0Sm9+eLYSlFalN4Asn9ZDOOnz1WOE08sWCje6/inODCQL+Lm55Zpk/Kp6ij1OzOww6B6Cr8fjpUoTjlkjLaNrEOheWB6/G8z3F8vpJ5iRHQIEZ2CwB32nfQDeDeD9AB6Ku3dXgMkz5+I/T8fqbT2aNONuGc2fPLwA93j1JcQkM7l5LtnouuGt3KovYqNCnXDyn4hSnWqXoYHdg+rbyxXCywvBGax6D4Jk6e3K42pDRVsW4Ye348fuP9jk9uS9BKHTEKUm6khdUSCKSnPWQ03kVsUD0xKiMUg+ScXb5EERgnZQ8qUTtEjEe+59cXHeefkz3O0mSPBaorUaSVcFtk7t+kekoxnrCA1e8HoHjtt8Rawwr1nhUSRoVCmAyCcsoUZ+P3TS3D1/fNx20sroEKVMqKuvGbVk/yzmYP3pbNRnDDXkMctmwjKtPE/bsoG0sffwNu399UIpM+xXALYrbrFrAHRhN5YoAOC2l1Zq8tQHCd0WbXQNlkk2nCt3CjysRGhcNK8copCmFmi+EDcBxxmyEzrntLZV8zXWQn19WIbpyX0L1pGNC0wTcBZ/1m0pBI1Hon3GODsZVPKeTkjmqqjkLRHNEbeLiQd21wXc4gUTAz/vjs0lBAltigS1FfJiFtIjqZaenLFbUZUdO0nFZSPLcRKKdt6chFvQVWiEGDmUMDdVs9TSFePW7XdbVOq0DG7ucx0mY3DTImUF0vzu+McXMgwr4vMn+NzbD8b8q98TckduBEohFHszc8Th2Ds2oWojahDiDKnuJAgfKzL7tWo3bu/DW374GKbc4waomyaFnbgsfXkK9Y127GcfB/BQqoVyhGNrA49xjZXzqlumpxibXbVbHqZModMaUpA3PMYjopkR67B8Lc3mBnZ1JlEkUouaMjCIVe9SQj8I5xv8ublSnL74L1O3DNA6/jsttnBe0k2MRqCXW9XCqNSyBpWINaMpi0nt6sO3W9kR0gSV9VE67v6Iu7hInusWrhJjZhWc0XJSEqqx3C9nnTFoWQ7VLHI+PxfXwGg30uMLsQOnhea1PB9dN3AKZRhuFEohFCNizukrjuxCuOTUg+IvUCUK6Wtfroit3QO+V5JJolDjEGZ970yMGZJenpJTbFRvf4g07Uhmz1cp7MidtkihKqcXMAD48eX8AUTXefiMH+R5QuUIRvQMFfO9f8yJtJAVAZkISnUfDZxIXDp0mslUZM0lda4tEWo3oqMpDL69sXQxTXyhLRc4sDN9y8hgDKHK/42WntCtVEi6JX2rSjnP/T9yYUbsSgmCzIAfOykA/CfR4/DnZ97Ky6cvF9ofSzcsCN0rUp03U3aXQcR1RM4CIQDY21nr3dPndAxJhEJ4PbVqNn9Z6smFMgxErzWV+S0UOSTTZhSJogGvVotSCMUMIvqsepCIPgNgZtpGiOgsIlpInRIuJaIrm/NeJaL5nLH+CiA4sYYwlQ6Qi+MiJB+BvnzlJe42rf1SOIZgofUqKY6NEIbXhUFDwR+A3nkq5axdihbaHJJhaVKcVzuF/G2s6+MKcjc+QG6lKK6ygzcO0FR+HFy98VWbiOQ7j2gqMAuJvfVkPQnULKNQv/ZlP1TEAJV9STbEXQG446UpUXlFOGBe6zXNzO+cZebZFl9r3LxKUCfgwgIe9tk/QhemSiGn80zVCjq1bFKfF98yHS8pha8O2WtI6Hsm4xpyT5w4CkSEI/cdjoPHuskJV24JqzpF3Q8BscGLXE8ynikUpzTgDj7++0fvs3n/KIaOlduLtQLm8W+pW1OeQI6zlqSMTHB3hNgVFjh7chhkrgrxrgW1Fn76+nUSiFUHwVwMVE9BQRXe/9PQ3g0wC+kqYBIsoAuAFukN4RAC4ioiOUy2YBmOwVQ7obwE9LGGPJ+NeXnTsEDl70NQLwkELFRMPsbrJpx1GRc1NU0kHH8geEkhfIkbm9xtC6Jaopp3bS//eVVWL+9L8ThhW0Un2uGmjpsQPWczDsZpMmcCwTPJF4qh9AyhaxJsFHKaBpN7rI7oqaonkyFcYFBKUV+WnIKAu0CimL7cn3QBUSck3enrjUDcrIX09t2izn7xR/N6wPcb9XyuJ4kjPqyuulnkp+MaZk0Lf1c2zNevge+91t4NVnXqoagYFCOP4o8PjSEApmrVQonrv83kxEWkDEWfglY6WaKYViIJPKEs+l7zw00o6JCVLjOIKIcoT6nbTRSzwBm3sDM/wHgBwCWe38/YOa3MrNaLNmEEwEsZualzDwA4A4A5yn9PMnMwi3oRdQ4RmNERyuOn3Nf1SFGNsP6YoJEoOJisaSUKGTpOwbTgT5gwEsVieOMWfbe3JnO/0zx1xprOYPHJE1DkW1JrW6epnI5AWwlCdK3AkpkMgyXtniWRQD3ttxRuzVRHeFAEsoNaxNkHn1ijHUQio6g01jkKVaoa1uyq/Pz63nDBfc+HxozOHfqq+FUS2ceqibSbbUNOamVC/qnNfNd7GJd/WGjcr5QlhRKEsU7a0Ks2SYtv5zl+bZngEekj1Qq+AX9hO0bcnI/U3qQ0YNbQ1KL26f+HXUrhEIt97orqp4A+Bv5b7y/f5d4+3gAq6Tvq71jnJnwaBtdbIrqEiGYQ0YxNm6JV6spBnNdNtEQiB6onVaIwtCO3oJsApsnU0ZqN5H0SG4ZqD9AtUnGtn/PvEml29rcdPPvYZxU7TO5A+V34STfElimJRq+4BknMWZTQbM+Au0nVdvfjNE4sUDzAXainUwEahnT4GdllDI0MVRCKhco3/OG5K6SQ0bFJVoxOjzmmR5tZIo0iR11ME0F9TXq1NfCbuPGuSWU1RP4jk4nOq8nBIyBvB58KVwifIJROMwQYyS89E6aOAoAcNaR44L2pLZlDzci4MuKVGGa22r54IDR8L43CaVon0oBxgIg+DmAygJ/pzjPzTcw8mZknjx07tip9mjhaoS+UkS8GATb9uXQSxQXHBTRRN3FM/bdk3II9nQkxuzTqhFBZJEBNaVzLzlZXmKn/qBlcJsiGJQr+TqJyhCjmnFRSJ4tLbZuH6x94IBQX6ldCKBiLDnwEiNwb4cQiGal+0fwfjC177v2H3xweP3w+VnuxLcfxwyBt866zD//ND26JhEcwWNVFmrzUTYYHRFnd+Jgiv9QJR8dgROqVJXTzhVYUT1JEoXG60m2UfhtFIsgCqtrRdyK8L5SIQjA8QeOxKJrz8Zph+0Vn6ke0r0qNJx80GjOuOMP/bnpHaoyGeEYveO7GTaJ5qjuhWANgf+n7ft6xEIjoDADfBXAuM/er52sFnk0QhB9MIdPcX/EXbpxAK1SNE4Lv/6W4MGcUlTiATUyls/fY+bNjRj2HtWbxxzdlGlzkxyu19Odz2n0kp87e+z8dh8NwGZLuAursJWmhxSxx0wItSvCUJPny9EJYp3TBqL5dedk1j7WR6PvO7yBfY5UFlXnLKueQr7q3s0DhSJGeenf77jkZP98Oe6IkTTjzDjdKwL0gePDQnN7SwY/v/BYjB0aeLztI9l22rJOnhIv360RrpMpaSRSiJ/GM0sKc+yn8XReYKjb9HoXTVjfiAc+jLOMQWpTMszoXacC1cak2PaFaGjesnHV887eDIeFZ4RvWs49oI5dciq4IHJElPzB+VgOnekyo5/ebfi3HTM0vwyZtfBrAL2iiqhOkADiWiniUTUCuAjAKbKFxDRcQB+D5dIbKzn4EqxUWzvy/kLoielRBF4ruiNbaYFL4KZ7puzNtGFVKyR7977nGr5z76t+Sm0gvFBF/5WWYhQbWlIKcvHb8sVAojjziL0BhA2EcZAlnHDAnT6FhwCzGoMRfL5n1hrsnPawNJx802t+4yykEpDNmt2YdHD5uaCIBVMeUcSg0hr5cwdfZh7yeahBwJ0MkyDPlKfrpB47BXkOjn7t1pVE+H7DUEHzlh/8g1YiNfubVHidQuht7tzdOWAQiIjax+kuNjZKKxsz8fUVMJxiLjkPY5iloanQiKW7SwhO5S3jq57/9G+t2C7Mo90UoUuj5Rcv6NJNE/1JRTMnAdwKdxss68DuJOZ5xHR1UR0rnfZnzwAMAXAXEc0moqmG5qoOeWLe+8X/CJ2TJ8XQtiy29+Z8jk592SYbBUlPWx88p79PJg5blLKnpg16nw/a+yDGdxmcgnyw1xEFsaEkShSDCbh1md1GddthYjB8xCF87Y1LcrT7kFMvyoypKboSqWkt4p8nMnq3DBDNpy7xXqqXI2XnGLvEHlC1xCNtawR5ss3Z5/wzS83zNqhySKQm0JxSkHj8GYIW0RfbvAh07YnP+KpB8QkCZQ22b9++qSIezgQcOEiM6xALh82ZotkkmJpyE4doWSM0k09AwVt4JzbDsW6oor3Y0p9nIwjOaCkuSmU8derm7gSpfU+VKMDMDzLzJGY+mJmv9Y59n5mnep/PYOa9mfnN3t+58S1WD/KGfNwBnwQJQ9+IRg1vwwtItvjisujemKeSiVT0ZJoUqLstQl6RfV1izWOUFLBZFXAqROBzkbbZpqgS613kbneYF9Q+TE0YMxbco7I/71Jnz9zEm+esC0qFUV4cTLH8TMFdtCz/umT0z2PzskEQrvvcWpcv79jXdonj5MqUXiSk0lKVSG/Y7WC34L1QfCZrl5FNQsXydhrWBtmXHFGKE+VCp09Io2NwjRk2dCcdQh/91SCnuWJRK6mI6Ss/P9l2IBONfJGNhMIh8p/jCROixE8wf2EGhf31JiSKOIcY3b7QY8gjJbArxlHs9jBJnAkXJwwkAVm3txeptvfgfqcCPDBMXEFb9RK8xGbxMkxuIErFZKztx9X3zQ0E8AvJvED2pMSAvfeddnOPuocXjHJL2DwAXHjcfy687B2z3XSbVClwmCI8tJNopSOeFsxvFTmKt3CiklqX434AY6CuNxyBPNnWw2mcbVlHRw0Vk/U1MjsZxdvRr5YTG0/OOmgUf7nrKd310G1URDVzpidJtmgjs8wpQ4jw2cZ7ZKanLuMQDvWMzLl8UUuAhNpRfl5y3JM6H5YZcpa5dkPDoBDMc9l+FVI9+Z6F5memm1f9CarfKtakqgiWnUEgwGaEBvdrGtDkeMKpDe9yUqygJcTpzNQ3F5/5vpq+/VSFPbCJ3QakTde9h7fjtx483cvn/dcpEnt18RvJRC/w5IcRSSjaKSymwqMRa/w+RRpT5v4YHmpoFwjwmOspSkjup4RFsPzF2HZZu6UxPDoe0tn+PmFx/rfTS6p8sY3e1VnIoGuBGnGXopEEWrP0LTMkWczTiCJFvUJV4Q0HzZmh/N8pUHGiSe4gmgenstcQ/OrDb0bWodDvHMhHCVa0j2j7STZC6x7bhIjbuJJSPgscf+BI4wKT97ZyCxapKGWjOFRxAfzOnva/if59crL1W9eQSEEkMhdojkCjiB7LX0HY45OamCiSK0qef74aq3CokI1M0ufoMZQOzqnoyjUvXntDoemYB19eYSM+LKEIkVVdWTDEEImTlUnrUWSEPIdevipWXRTLJAsuoVCEvaGUmyGigUtZNdF1ktnu7PHzUs1a2ucPUAmROcfNx4jOlpD0pQfAKh5ZsIFW9d+f4Lq16qemhDGQDk2pY+LIi44Kc1C0SGOnKyqFobzlUycE97Gb2sOEs4/aR3tcBIOJ+e17PSX0PbyjBYfuNRSvr98RSBQVcEtRicIlbCaJQl1wnbRpX4SQbhU6tJa5UbRSAS0xLIYbC+8s1Zsfft9FLwpfWEaAcpGFmdDEfIouqihQCBQDgkre7gZ9ZnhwJvuQJr14F436ESshwQCPWd/eDcI/3PGYUoxf3ciGHa0Udmq1qJmVecgWe+dbp/j4pEiaI56IQlnFDJMqid54iW2EaMmSmPMk4PyBOL6TitRHD5uaMjLJOm28YaAPpGXX4xpuMctmaqAyRg9pNUtBVuFn9NhG1ZOBQ1O7kjl28q/xCEYJUoDqFiv3UyhyScTQjzVRvJ50WN/lerWZUk9UA3GqWIFrzjtKG7SonQyj7bwyjJH677LLqqp6is1Zs0PI6kK9UiYv8OkIuyaR3jxVQmUiHwnVghATerqQ7GT2kzSem5RSYn2mO9npoZJn3ggMGQpkO8RBF8Nk3Kr58Z5RCTSmKmgTrhkgjfYEN0suCsxJgOGjNYe50Oowa7hKISniUJE3Kq3CkJhygaqPu+sxEGKR5PG60mFSiDkDTBXKI1QCP/7N40bmhjLsc3LwGuKcagG0hDM4R0tn2iR4OoQqFMb16123elsvyNvAi8VodgQgIBRqrXGhglTtdaG6JE74uBifrh/1PTpEEddbIN7xpJxCnhFai2IXQly8Y1T/qBGrNmt8spVA96YhVXHI+XV4gHZL0zWqpxsGatA1Tzg4KvIsxZR0H//vR43D/nl9+WOIZRg1uxZWd/2V5PMlSOVLQp3H3HjxgUez0R+XYKVfVUChfnExmNRAGUZrCfOGYw/n7Jybjqn3CMTVU8+oSgxaroUpCVyKhdtQliiMF+3WYkVyjiEfFGvehIBdMWQ6smsKlalCLmPuFelMiCOE9TEnAODXrVdT7MvoUqrnpYG1UexC6MsVjCoedUNNSqCmcrEqdD7xccz/rRefaKzHG+5XlSiCz+89Zh/MnufLdofNqBCsAfP4dQYqDorTZv/eYfWN97QUGt2XRmyv4cRTliOLiZ5iWj+Aw5Uy5gH7zFxucmqepnFCnAH4/GRuG2VdpvPOmg0WhvySTOo2sfeB1AaTVDSkVaQt6e0vMtE5Io0jtouPWxi1rVk0hkGXJin4LhYDvlz8KUl48R6GPWrGaKJQgRJSBS6dSOgK8WaBKt62gVw1+ffCsDNDmtS1agqgiSVgRoFHD0fnPRan9tp/VAf+620TY/sEootebrMtm4kskiS3vEvefjDGDGnDqYeOSexboCXjIFdgLFjvJu4rxRagnwjQ+XX0JQP9che444vVUlo0i/F2gXIN93Dza0ZfD5p0DOP2wsRhRU4ki3fYQx0XLCD2amMcS2ZQdnwrTFW/D7p5eGjn/spAN8VU9BlSgMSybkUCK9m9aME7spi7LHcjsFKTFoTy5Z9VQOmoNMWEIRixMmnjMKJE0ehL1cw+4YrkytJZaAaPyPnvckrSwlJNoo0TIc6TvnnmAynoiqdDkfsOwwzrjgjlLIgCcLTn6A/PLtOOqRSY9l9TpLmuL+HqSwrxNm3uP37/0ZpxeO/Tu0ftptxYEVMBKCBQg8iZTGuBtBJF3FhNn7cU1rQaBZhzS1oVXYyd0n1WYYplaswGhUG9/4hvvwMFKoKXjUKhCYt9AAa1Zp+rpVKpZE6YSWEKhngcwlt7dk0JcvhiZfXDxEEqEIVBX68/KG9r33HoFTDhmdWGkujXiqXiK3aNrMPnbSgSUZq5OgEqShnKZMByhAtiOesFogxuRvqdL2CUPjSgB+ZHX2HPzj3SFx04gHG8ZgkCp2tJw1MEeBA4NlVqxxPpeItnB4zE7z5+fOJ1ab2e1BgeE+GWXVbl7LJFjlakFAgZsKUxtGWdEOG483Nv9T/rAmgdCjNwPbl8Wenpnk1ANR5ZqwBIKBYuvPRu3Xnyi/70966BvICxRyBNM3ey298UbrFQ1h+k8A/j02ybib585OZGrEHW/n46DWL5ZVabEqhiruRTIRPfmgUWVvooBbM+IfX/gP/OmTJ+ATJx/oH1fVFgK6xy0cAQK7h1miUNNcnC4inKIhLhBiW+Rvj7hOFskoJ5qs1Tj88uSZM2jiKb77nsNB3YzZm6fd3SoZiZrNdz6h6ygY2CoLCnDOrS7VA4Mrt3oJjaVqODHJUvwxQXVG9YQqEgqxi1XIkibMyW5+1YJc3yUfvGG3VNnKd/3nsjpgyYnOpx77L54vyb+Qoe/fvokr/3gWJwevZrGNFnvPmN5NBdVGsjDOf7AkWhvyYTyUply5+g2G5G3JyDOnZm8s04IVqc9FfInKKadNoZ5mvAJn/88z3jXNs3zTzJM0cUQA8KZ9wrEhJkamlBr3ujHIBEC2UTDCnhExnD1MJRa5QLFvNOLQtq42fApJretcLzTPTmhStWQe5fNiYLXtsyITi1xcdh4tPmRDbni4wS4ZOnJJfLL5ruOfng0bHXCEz0sr7KHiRxGU7jMteWClmiKEftBADnvXk8Ljx+P3zrrMBVV5ZMhOpJfb66n5yrGo/rP6zYgkwpAHB4m/R5ZXVeu1BRHKERq6maSKNLYm0KEIkFUnf7dM/wKcSZ6KBMQUdsECOd6nihuDaqOQl0HSz8k44TiKYjF9SvlIWxlzVLjJOaPesIQiAQ4Ba7v68JcXV/jH5Ekk9NyAm544ye9Zndac0QZ4eV77viMRxpp2i4rqd/QWM8CJqRcoEHdLontNCdvksV1Jpb8ngZxceizGSEV0mOvfPXQcgnaivSLUSx0bb5xZfc47oFb1I9CciSw58l1eWQMglFmufTLDYKIF3yurRxFIDLgIl3nEaiuPFjb/FrnyDDY6KUoT4uI6imtWxaiNopcsVjy+xDdZR3HuB/kTKl46wxLKBIg9gdmN7nXomvPDk0IebLG+VALniMlpmlRiM33n4YFHS9qaBmkgFsMP75+Pzp4c3v+W8bG++PsbMuGWA1n1VE0+Sce1qxut7nmLDajFnC5IUi1Ln4phEKOR3f4BkMyqnrCqQjgiUE4fSSJSbCdVsowh+f0vG8d2dizE2CnlDzirruJTszo4TnVj0VilyyF5+YM3GSYcFKFLseMl7dXFKOCaTxoU5SPbVmHUyb8k5c/6GwcevBy04FAHzGEDORNoJTnvaxWRW90kLn8tClR0mBwW/S5q89Xx6ELAtGipCXRvUeTCmC0R2TV5y+knHLKqgLp4i9qVSt7zJDanxGaEjNklDN30O9UNVly2ZWe/kVBkiPD1Myfh1EPH4HzJLkAUEApmTlxPqo1CrciXBoJQxNk2ck1inzC7f7WQPhM4QnXUIXzjtYPz2qSWp9Pm6nEAq1PQTgBu3sPy6c0obsAZqr/VUX8gLO8nltxTo1DsqnYdA97hbfUylsq5BTUkzaewje2LDTmEPqwa+cirVKFDgAX2Qq146QhvuupJ5HHJ74+mmJ3nvlIBPin2NOP3XStOnfF+/vBffNx+LihulvgOMB+Izvwf58+CX97aUX4nKabCQaPwgxRqEATc+lrSTAkcZKhnNWbvIpCNvmpwlfj87bMOx/LrzknF1avBXXWHKlHUkVCEVE9VZJS0Kr8UEoXYaAXHKh6F3N5HvdiJnvEFXvPew9lDZXAHx85JScZiQZn7USvU0vKOlqipHATfxnvu5lFlnkj5Vlaw8leXysTLkNarGPQRBnk+Q7RahejUE70WC4kiWKVkEozPdZ99hdEEFOoOBYqeK/GtxVLRSUjUy2cchQvU3qSSjCdY2rtwC0nZWVT2CgCScK7xpcogg1EpI1PslGoEL8vbU1xFWnmRzMZs9PAIcL/b+/co+QoqwT+uz2TSchrMnkwnmTBJZsiTYUkgmYSEhDwAQ1Aeu4BrckAiBHcFWRY4yiHL0aOCu7i6u741iC4cRFTQIzmAhoe4ritgnYHmFkEBEkPBKYF0gbIQA3/5R39dTXVNdXf2s6u77O2fOVH1VXX2rv6rv1r3frXtndYY/6UeR77cPny+haiJYcRZFribrPC7CvQEqOlowMmjCPayU5BTXgesrf2Wctnpp3Wy1R11Mhct6fGHjicBR7sxZKn4VEqQddIPpdHHN99kPv/4diSBzw/Bwzx1xsu+3CRBAeRUNdTSI0ByO3TSe2eG7C7o7gnbJN1PZU6nR9F4z3AtItxw7pFse/H1ogI0XGbWIKXM0WQiLAonUltrZiAbbB5FkRFh71vx3iAPMmJoK//39rtZnizbfvXrhMdOLvu6qReNdjVUkbLAp3qKojqJwE7Eu5DXfABV8+o4jf+foYRXJUupPHjdpTLz8QKXyn/XOPzFkPdT3ZwThb48L+ZP75k5WzD+TasxfkZM6Ng3NZljqZHWccjV93sTYcf2gnq3zvMwSRjFfIn5+gZhd/i9vOCLdIUZFAIdIxr2X8ZBBWFU+5trZmsqzHfC5OZjPBEIP9U3KguV+slKhzbkzU9FqMqnigL4b8WwwabU2OlKew2conD/8/nGk5zM9t+YN5y7qGrfIzL47d4wn3/2Sc7+c7UdMhnJifxZMevAnon+n7KBTquspxiCRknxxWTZ+uJ81Cyfn3V7peblgn8TpIv9vFnQruXmJoa0ZVvVNZP3SXj59J/cUnywAAEVRJREFUYvg7TGHfVeihy212Li8XNPHn/eGutbSkGAdVFAXJeSM7pN+KHUBcmGW+KJpScQpin/lRvYvXEueE1r4PnUGpseyn4LYq4GUdLwd2wV/7lQPbb8Bfuci//f/yrw7h09SyO7B3L3Zes4L8unO6ZkGVzvDokoZBVFnOsqbYoCoge3Sj+UBF02hd72hlwrLBil6DIPt7W20Naa4VMn9uVN4x6m9Aqdnn7MQLv/AIfSMG86ZNkfZUy/nm3iPPFxNUUVRBOHui+J686XXPTP6NztfqYhMDhcdMatzFM9c9QGOnmR3uAijF9VQp4ryQWCrXr1+YdfO4G/bMRVM5yqY2CTPjnZ/cbekY0cb5K6YjIrQPHxIaphwXU+ZkndpxBtZIBAZUiSu5SB74vnHYYMw4cnE03mOuq2Es5OA/k8oTFsQLDfvlCFoDbOm9KB7/65EqmjvVSnveSLbHJjRRpQRVEAfxeGWxTp+AndoJHvRj3QhvkNsigSeuGu0hw9Y0I2J9YQX59kI5pC38weHJxQnKfz+7lKIoyiqWQa1VKLkLtX19KEFU7jgmOmD2oPvkRTbj0NawxXF0BilXcMG90IPXcEou0IlZFNknUGjUUzGEz1EkIEgIA+VFB8u46YIldNnoneDWfO8HVJO5k8dU5bjZc/edZHaiOuSuc26IqVV4Z6AWn71Ec1l24/GytiZK7HNdTHGu+2DmKoOvq7SIsCheO3tc1OltUqZAb9+bzFnP7Yy9mXV6VroZXTVRRnFCBfenFHWiwKd+GGyTOne2BgDj51BauJVZv7NhybrQNRaZw77w1fbWJnaYWFY67qm8hVp77HafO7nKy7LrM5RXhhoiYNjIT1RTTdeOUS7niqtKHL7tNjjBxXC8pnjuQLypvz24x7MFvR0ZBVFIeV+6KR2nDvWVISikKJp6jkJEVovIDhHZKSKXhWxfJiL/LSLviMjptZYvSI7rKcQYrKWPPwpnChd6GAqKW+tSnixPbh5WcKK8Qu994a1BbVOrwEUNbWbNwSlVcYtevX8j31x9ZckLHQoNeWiqfBalWFF1U9l9HvoyxnOfv4loN9M/1Ab34vjsXrfv+hvsG+2BrwhVxPaaKmkopIC/AN4ASgD1grIsH4sz8CHwF+UEvZ4hB2n79YyaiiKd7OKopDfM1fetA44pRA2SEUVI6om40YOZamvpG6xFJI2CZdhHKr1O4cpzuB3FfvQU049nj/0hYejFzsEUsijSdGvW2vW0ENhpjHkaQER+CJwCbHM7GGOesdtScSfM9EVbhJm/wdQZSeEsikIWnTvAU0pJLphK0iPBuIB4lyqJIM4UsirR2W7WCI6JSsDjiWKp+q2NIGW5jd9/7Q2yLVZKFLNlKJs4snl1rbPgcBz/nWd9m2ohGRvxGRB0TkgT179lREuDDOXzk9+/JW2HWV72WZWjNgURR3saYl330lCOufnrKJIS9RBTOpMr2XJl9F2Yc/Yso4bPj+Y2zhyaCu3Xbg0u37jR6Nf6izHG+DmKPxRba4sbqVIU/hznfd09PowxVxtj+o0x/RMmFJcSoBhaMsKRvd5FHjZH8ef94Xloao1TFIVSTwcf+NJSQasShJn+SbmenyiXOy2NpJJ/7pVxDw1kqfndRmOvIHzI8sX0YU/OkCS+X7ByFT1Fsfvzloo8zq3MUl66elec7SpOtnGtRaUTwP+N/x77ZtqcYNMm6sWTFzQDGlxaJwLqRCpn9weyPNUUS5a+rP9ZS0BKWR7ym93PMZSH0zncKCwxIn+fs7IQFTfNFsrvlKBFO5+a2stL/ps88XLOH/F4HdEoLktii3ADBHpFZE2YA2wqcYyFI1TnFG4guuq0Odlt+1JjUXg3RME5isB6I81RhKWjDssIWw+0Dx+Ssx4M5RxVYi3uapPv+ivXQgpLphnWnpy05ikKy7qBvnjGfL54+hwU9g2uHlIILwY5TrKxUmlZRGGPeAS4ANgNPAD82xjwuIp8TkZMBRGSBniOwCPghsFJHHayljGMHypX6/ZFryxb8Tc44i+NSdlgpalSBM6Q24LOrLyzp62BAe+tT7suvB6+xWnny8+TfgH8uUzJ7DOyl3u60ZxJrMh18rIZIS+Sd784tRxw/lg/+SKvYX/yl4vFLvXWiowUK64UqTpnGa7mjyXGmNuB2wNtn/Ytb8FzSaUGdz2GXWTjR4ZXwKo1secoAuv1NoBGcdPHFnPqN3+bUxrVDTD1nZlGAl3vKcfbSXhZPG8f66x5g5awJTB03IuKTyeH/nf/lr+ey7YXXue7eZ8uOhspWxvMdJqxP/QopnI7DxzH6e3P1G3lDUz558KNND8kgV4mtrj2DTIy8wb0oH1569gKOmjS85XUs+0hT1lE77NWW0BCyKncvjFRUez+sv/Wf6BApyzpJefb32JJdOjY/f9N9rHV07jnCW9FZclKeZN6eCOi5flTGg6n3m9zVEEnaREpObKtlvgHy9aMVMx9EqZowiaz/RZFi03uuCAi4mrdUT0lyXPS3EmcNHcS4KWhrwZpcj2pooiBnsyQqEYkye+JoutqHsdbWYq4UcyeP4ckrTyi4n98q+uTxsysqQxqYGSi1mQl5Eq1HWjKSdUWkqU5BnkPYDBuZWWjLCJJuBt39queGx7h4coNAcRZoK/8ThV59YwZDWDEuu+iWQrkATVRQxcBdfsKJYKfV/nAe7dcGzZMinxcANMvU/F+Gs0p1lR+F2ZrZkMMztHcdclyzl4fHmusjAjKszVE4x6qid6xo/IcTepnRVFnOM3+5Mt7s23br1id6hsW4LYLl6Zexmrjzj9NN10ptGQkm6IiJXkoC+IesEqZAwgSFnYbluXVnv1+aXXT58MufIoNCFUUcHn/hNQBe27c/21YPKYL9mSqbFTeWpGlisBTqxfUEXk3oN99+t6LzQlnXnk8R3LdWb6ylImh5uVFHEIEX9pRSJe6qsdZbcStNaJ64ngJvPO4q21kxFE2aWcqg6NChyiJqErzWqnKGKwv86fRpsZybqeEhakTDIyEEGU9gHQ5UarJGGT2YWoR9eTn/OWT0tahCx14u1MljffqmyyL6V2nuICDCSl536VUWjKSnZBPu0VRDVzthmIsw3r/ndJSwgDUoojF2BHpq01cDld/eD579g4u8tOIfHzlndPp7Olg8bVzSopRFRuAvDvKe1I/r60xYmtozbcJITpo7ieUzJ/CJmx6J9Zk61xOpQhVFDL54+hwOn/9ydSYtRMVYdOjFpEWpGS0Y4alrpBYTSgogwe+Jotl+xui4CKSqNiPC1tUcAxFYUxRYSSgt/u/zgn1GUPVkURgzHD25g9cRQ9KU2boDQPzagkSqVeXU8bTjgkaREGoYoiJr+4aFnSIihNyJ0XL+PBZ/+UntBh1SZ3qiVSiikJRUsyMzlHMKDEDQLNT7+9RpAlVFIqi1BVrF06mgQoz1gWqKBRFqSv+6dQ5hXdSnKooqCkVRGopNFyzhvqdfTVqMhkIVhaIoDcWc7jHM6R6TtBgNhb6ZrSiKokSiikJRFEWJRBWFoiiKnEokqCkVRFCUSVRSKoihKJKooFEVRlEhUUSiKoiiRqKJQFEVRIhFT57WEAURkD/BsiR8fD7xSQXHqnAT3n5kDPuTko55ynGmMmFNqpIRRFOYjIA8aY/qTlqCV6zs2BnnNzUItzVteToiiKEokqCkVRFCUSnVRRwddICJICec3Og59wcVP2cm36OQlEURYlGLQpFURQlElUUiqIoSiRNrShEZLWI7BCRnSJyWdLynFIOITBaRe0Rkm4g8LiJ/b9vHisidIvKU/d9h20VEvmrP9VERmec71jq7/1Miss7XPl9EHrOf+aqknpFq9iLSIyEMicqtd7xWR+62cPxKRNts+1K7vtNt7fMfYYNt3iMjxvvbUXRMiMkZEbhaR7SLyhIgsnbvR+FpGL7XW9VURuFJFhjdbPIvI9EdktIlt9bVXv13zfEYkxpin/gBbg98DBQBvwCNCXtFxFyN8FnzLPLo4AngT7gn4HLbPtlwBfs8vuBnwMCLALut+1jgaft/w673GG3/c7uK/azJyR93lauS4AfALfan9R8Da+zyt4Hz7PL5wLft8hrgR3a5z/b3UKDXXgctab0mgOuAc+1yGzCmkfsZOAj4A3CAr38/0mj9nDCwD5gFbfW1V79d83xEpa9I3QYIX42Jgs299A7AhabnKOJ9bgPcBO4Au29YF7LDLG4G1vv132O1rngY2+9o22rQvY7mvP2S/B8+wG7gaOAW61N8ErQGuwX4HNwGK73Gr3k2Bfu/3SeE0A7XbQlEB7w/YznnqJ4zg5+rbafj2/EfgZ6yFUUVe/XfN8R9dfMrid3MTp22ba6w5raRwD3A53GmBftppeATruc73yjn2neFtCfNl4FLgffs+jjgf40x79h1v5zZc7PbX7P7F/tbJEkvsAf4d+tuu0ZERtDA/WyMeR74EvBHn4EW8fnuQxu5nRy36Nd935KWZFUVDICIjgZ8AFxljXvdvM94jQ8PEP4vIicBuY8yDSctSQ1rx3BPfnMsYcAbyJ5y7I0oD93AGcgqckJwEjgNWJCpUAtejXuN/RzIrieWCyb73bttUNIjIET0ncYIz5qW1+nWUS67PYuYLdtz3e+Ue3dIe1JsgQ4WUSeAX6I5376CjBGRFrtPn45s+dmt7cDr1L8b5Eku4Bdxpj7n7frNeIqjkfv5OOAPxpg9xpj9wE/x+r6R+9lRi37N9x15aWZFsQWYYSMp2vAmwTYlLFNsbATDd4EnnjDH/6tu0CXCRD+vw5i5c+1k2emIR8Jo1PzcDq0Skwz7JrcLz374IvC4ii+x3neU7ViIYYzYYY7qNnMT14/fVLY8wZwD3A6Xa34Dm73+J0u7+x7WtstEwvMANv4i9114Qx5iXgORGZZZuOBbbRwP2M53JanJCLDrUzunBu2n33Uol/zfUd+kpy0SvoPL5LgSbwIiMuTlqdI2ZfimYyPAg/bv/fj+WbvBp4C7gLGn2v0F+IY918eAft+xzgF22r+zfe39wFb7ma8TmFBN+PxXMBD1dDDeALATuAkYatuH2fWddvvBvs9fnbs9rB74onzReE8DhwAO2r3+GF93S0P0MfBbYbuW6Hi9yqaH6GbgRbw5mP57luL4W/ZrvO6L+NIWHnoiiKEkkzu54URVGUGKiiUBRFUSJRRaEoiqJEoopCURRFiUQVhaIoihKJKgql6RGRcSLysP17SUSen963/tkrfeYSIfLfEz94VK+OnolQIDY9VFB8i8hlgrzHmS1X+npuAK40xj5Tw2XVAtzHm85WXTFEGnoxaFokQgInvt/xUi8h8icouIPC0iV4nIGSLyO5vzf5rdb4KI/EREtti/JSHHHAXMcUpCRD4jIteLnyL22RsBHbXuXiPzaWjZbReRoe4hNeNlAFaUmtBbeRVEUy1zgEOB/8PL+X2OMWShe0ai/Ay7Cyz31nb8aY34jIFLwUC4cEjuPemPUzB692wAjgIRG5DU8ZbDbGfF5EWoDhAMaYP9m0FOOMMa9W5UwVxYcqnCkWJzxZj0zOLyO+BO2z7Y8BKu3wc0CcDReJGi8hIY8xe33G68FKH+7nFGLMP2Cci9wAL8XISfc8mnf/yZMeZh3/678TKrqqJQqo66nhQlPm/5lt/zrb/HwENXBlhkjDnc/h0UUBIA+/DyE/kJThYaY8yvn8aqgPQ9cKyJn+bYPs8dRlKqjikJRKssdeG4oAETk8JB9ngCmB9pOEa8u9Di8hIdbRGQq8LIx5jvAnNXjpxV3m4InAMxWXXlFCUEWhKJXlQqBfRB4VkW3Ax4I7GGO2A+12UtvxKF4a7fuAK4wxL+ApjEdEn5CHgQ3jzHwDzgfvMQLU3RakqGh6rKAkgIhcDbxhjrik2JFdEvgJsMsbcXU0ZFcWhFoWiJMO3yJ3znKIatqiSUWqIWhaIoihKJWhSKoihKJKooFEVRlEhUUSiKoiiRqKJQFEVRIlFFoSiKokTy/4U8CGArn3mrgAAAAAElFTkSuQmCCn”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fadd1645c18>”

]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“### Calculating curvature and tangent vectorsn”, “# If store_tangent=True; then tangent vectors will be stored for later use, otherwise it will be discardedn”, “fdna.calculate_curvature_tangent(store_tangent=True)n”, “fdna.calculate_angle_bw_tangents([5,50])n”, “n”, “n”, “# Curvature vs Time for 22nd bpn”, “plt.title(‘Curvature for 22nd bp’)n”, “time, value = fdna.time_vs_parameter(‘curvature’, [22])n”, “plt.plot(time, value)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Curvature ($\AA^{-1}$)’)n”, “plt.show()n”, “n”, “# Total Curvature vs Time for 10-50 bp segmentn”, “plt.title(‘Total Curvature for 10-50 bp segment’)n”, “# Bound DNAn”, “# Here, Total Curvature is considered as the sum over the local curvatures of the base-stepsn”, “time, value = fdna.time_vs_parameter(‘curvature’, [10, 50], merge=True, merge_method=’sum’)n”, “plt.plot(time, value)n”, “n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Curvature ($\AA^{-1}$)’)n”, “plt.show()”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Writing trajectory of Helical Axisn”, “n”, “* Calculated helical axis from do_x3dna and smoothed helical axis could be written as trajectory in PDB format file using [dnaMD.DNA.write_haxis_pdb(…)](http://do-x3dna.readthedocs.io/en/latest/dna_class_api.html#dnaMD.dnaMD.DNA.write_haxis_pdb)n”, “n”, “n”, “* If write_smooth_axis=True: Coordinates of smoothed helical axis will be writtenn”, “n”, “n”, “* If write_orig_axis=True: Coordinates of original helical axis will be writtenn”, “n”, “n”, “* If write_curv=True: The calculated curvature of smooth helical axis will be written in B-factor field of PDB file. This might be helpful to visualize the helical axis according to its bending in color scale.n”, “n”, “n”, “* The values of curvature might be very small ( < 0.01 ). Therefore, scaling up of curvature by 100 to 1000 times may help in better visualization on color scale.n”

]

}, {

“cell_type”: “code”, “execution_count”: 6, “metadata”: {

“collapsed”: true

}, “outputs”: [], “source”: [

“# Only smoothed helical axisn”, “fdna.write_haxis_pdb(filename=’only_smoothed_axis.pdb’, write_smooth_axis=True)n”, “n”, “# Only original helical axisn”, “fdna.write_haxis_pdb(filename=’only_original_axis.pdb’, write_smooth_axis=False, write_orig_axis=True)n”, “n”, “# Both original and smoothed axisn”, “fdna.write_haxis_pdb(filename=’original_smoothed_axis.pdb’, write_smooth_axis=True, write_orig_axis=True)n”, “n”, “# Both original and smoothed axis with curvature scaled-up by 1000 timesn”, “fdna.write_haxis_pdb(filename=’original_smoothed_axis_curvature_.pdb’, write_smooth_axis=True, write_orig_axis=True, n”, ” write_curv=True, scale_curv=1000)”

]

}, {

“cell_type”: “markdown”, “metadata”: {}, “source”: [

“### Angle between tangent vectorsn”, “n”, “* Approximate bending of a DNA segment could be also quantified by the angle between the tangent vectors of the segment’s end pointsn”, “n”, “n”, “n”, “* Angle between the tangent vectors can be calculated using [dnaMD.DNA.calculate_angle_bw_tangents(…)](http://do-x3dna.readthedocs.io/en/latest/dna_class_api.html#dnaMD.dnaMD.DNA.calculate_angle_bw_tangents)n

]

}, {

“cell_type”: “code”, “execution_count”: 7, “metadata”: {}, “outputs”: [

{
“data”: {

“image/png”: 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XkqaknkQbHkUX1YfKVuVmx5hqD52OwYzFpbOrswcl/eBZvr9pctWekwb9Wa43hZgDHS8cuBvAYY2xHAI+5nv3stbLjqtoGoubt8Q4eXqFRr0wD3Mcjhqmn11/QmPLmwDXOXbqhqZncalpCaMgbG2NMA1kqHTwZwni/v3LQBOqSVNScOWOk4WqV3KIj7zX2e9V7q0bhqDNSX1Rlgfg4PtGGPL3b9XANhOdRERnUdEs4londltbW+2oiwmrMWwbiPIbZOoonfNn51NiSnp5yTqMu3gG3l+7pd6kJIcqdm0ayqWngTF4YI5xTdnlnjLHrGWNTGWNTW1tba0yZOfy1kiy2VkQJdRmBL9RaAkxb5vM/3M1mnn17dZ0p6R1IQ421NDCGlUQ0nEgDc/1fVmZ6KIC4CKdAIey16e9+J9vzah6s6/3dLUUmpNcv1RlSxM9Mw9tPAGP4D4LPu358F8O86n0lIxRI0hDbbC3o60+kujvqxoSqr1KPBMSWmwSSAdC13iqKYpKQUdVutw1dsBzAIwhYiWEtHnAUwHncAwRvQXgaPd3r0XempK2CUSFFNbVlMSdz3kp87nOTDalPD51SIObsqYb9TDGztCcOqqWdFQTYh5DnGuKRLaqDSI0hUz9TEnklMcrTGPKFIr5316v48mETMWVE/4rpSYPNPHFUkcuJgkS9mHkaTElbFcRwnVZvsVj74YpJW3hpFl39C1zqPQe18JsPV7K1Vm3Hvyx/gm3e8nDhtlaKzp5COeZUCEqoJyxgSRtHnnY6gjIVsJ0tqFccJV6zUOyjVhcT9ZEglxLEHpt7OngJ1++CCmP7igQqrSjTQIQ5YxJAzrY0gG/3t7nDYD6mePau/IYd/EM3D1naVn3iz6Gar7ClTPm4xu3qyX7cnNqOEPJJrA6FFly79/V42hAt7+wJJkGnK0FVTTz1XzksY0gYBetjSBT16sE1m7sBAL9+RFP6IDKPQfQxVO8tbnjmXfxn7jLfMf7ochPc+BBOnIknPZy+vcDXlYbipSCKtIgnicKmXw94yhoQhToQwVf6aJ97GuItnpGOQpxl16h6+h8LGDnWZ9CiynKAWmpC45j0FaZdo2deGheSsC9/Fxm4QpKcmILN5SWjK6q4U0vJ1lDAkjagc3jqsffQtAemLN04p6nRbTwb7fJLZ2tO6+Dz5RUp3fo6CmEnv/0n5/Hl/46B53SddxPlk1AXGUsuYWO9/nWPmd8GkOdwpIsnY0gYBWHQWmWgctTLGhcl6caqlVTrcFXXANHRHc4Y3lvj1C6StVb+M5tJRmP418sfcMIqAjfJ1XNen1WKdFk2P9TJHW8aQMESNwUSNtm6IcNSrfyp9rD/BrcLGykRnTwG5Mhb3ZE1JyW1elYa5EkYDYwy3nv7AkkiFHPqOiu5OBZQwJw7jstk0D1cInMdWJhqhY+eg8BrEkRv1MSc0NWe15TqJMHX/3BBSGqvgYn0oonF7bhkntew8/++0ZF7VhT0lYIXx6DgaSUBikoDZj59mqMu3gGFq9u9/VJvVTpqMfGqpVUp2/cn0VNAUy56isuLd5KmJCZo0JW2loYaQmHr9GbXH7WmvbuiZ6QhU9wyhoQhqs0m2kMaBkEacPdLjh36nhcVr/RVq60RP1HdJc60kjo7ucI2BQxZg+LhNOly1UqSAL9QGvTFclYj6ElH0aNtG4QtXtRpDbBD8nNvn6OZ/Dz0dHJdWvuip/dFe+aKgxyL/Tyhi2jcmShreMHDVElCGiM4loBhGtArAAwHIimk9EvySinSdUns/dAjPAwcbqlQT1OA7iETkRSn9TLlFTZc31rah0/cWM5pqREfQylvyu1l28rMyUNS4KJxvAEngIkALgEwgjG2PWNsOIBDADwH4OdEdHYVaexVEBlDWPIanyIpGAPpgNsRBEg+hrpQU3Ekkb9WUv2+nssgYdAtzVX0M1pQUGyoz5l/+9y5eW7qhZjSYlN0+mjEWSP9kjK0FcDeAu4moIXHKeilEZvCnp9/Bnlw+biMF9GwPX8au21sHOGANj/vLTpkiFjyEqjyEyKsn82mrCZHGX88WSLKKXZKjutqJd+6OSnP9/nfN98AMDi6dNqQkOkxqBiCuVcs61AdjgvXdehvpBJ/29lmP7fBZjw/QeQN9wTgHcDUTq2R416bLRzn2rytaqIho5/ifNmXF1zOFLOJ10qqDEn2468fXohxF88oe8+KaiINS0KkxkBEVwDYCUA7gF8xxl6rnOlW9GHFrxW+tUUl/mbkYgONnyRmEKogSus/5XKf+icx8jiDLtGZWtWGkMWhMSSE8xRhpdT7f+Oy7nABwHfUMZZWSrOS7T4GQ36ZE+jLHTAZwH4KtVpqfXo1BkGDWwOfI6PrC22rIZMd9L1BjEifFuW3tynNMWhp8I8Bp/7vI7fOCcUPNKxCJk+MVz14Xkr8P7aLWU/P8l3r0ZbSTjYk0YalgQTxtBMRPswxrphn83UjUSgyn11dp43zgZkG6aAaKFdSJJBvAfjVI29iw5baWyqjNYY4nKO231j0DZhoDIFaScUSYzjvnr3NwzG+eKpuWVZs6BbrKbgZAsozBK/tR5pJWaQnxUKRgSTBhDN8DcCQR3QTg39UihIi+TUTziOh1nIrqdiKLF7hSiwJhvMuoG89bqYpi/bCMefD1YyjkKYj/Ji3JPHappVroIiaaGammF/37lg8hrwmolncQYi9zcPs+bjuLOn/P7/2B9nlX2vjDSV11CZkpKiTmy7qgwoBCbO5w7G2FWMsXMZY/+tBhFENBrAnNwBMZYztBiAL4FPVeFa1USgyn9PupD88qwxb5RLn1qYwfOR3z+DLf5vjDW3Tyex3PvvPJeEEjYuKnTUk1CLn95h2vRF4TpjHoqpUWvaik0rENW3rQrilBXiuIZN7zUnk768mNVcNXsDWYVdJUEiMHoA8Rn5QC0AFgWcX0qUZQ0BkBdP74UrrqVcQYXcRlfWKnhevRQpc5nn4+h1qYk4e9cRsxjUF+v0xjEXIw9nL38Yh/z88croSqjsNgB85865lbWFygSzakryaVgSUsEYGGMfALgKwBIAywFsYIw9LF5DROcR0Wwinmt3W1lYPMo2QLwQZg+pDez6GGtBUDxRjvN+y9R24/9XlAHjms/98PZhn9BPDr/BHJVVMTtkI0xh0npiS+p4isqa2rg69HRJL9WOn8q25Ukvy79gPIpCRGJGs0uSbi/sEATgYwHsAoAH3lbGrG2PWMsamMnsamtra2VPK6qKDIWqDETJn2mQTqoJkwG9QOvLff9DsTVJ0qRGSrWGHympPp9ZJOoG12CWxLhqskinuX5Mc7KcjzKqzxphVBKDiL5ORDuIB4mokYiOJKJbAHy2QjqOBvAuY6zNTZa7B8BBFbZZFxSKQY0hnTNLZWvMYOEzeTk6CCsbV10FjiGIMUfcnR0pFeMAgEEBnSkp6L4BKzS/JZlE7/0d95y3dar9KdU1Jn9ReMTBjD8QAKAG4nomVu8bx3ALwF4AwAv2WM3VwhHUsAHEBELa72cRSAyna7qBMKLKi+hy1sYYO9nO1/EXpc/jPtf7ZXuFgBm0o6/0JrinjrMjIp5UUoS3LrzJXXA1MfANYaknf6rN3fh0fkry76/Gt0Yn1uSdL76PXX70EN5p26y4r4qmJOlHPcZPZOYzY6wTwLUArnVrIg0D0MEYW58UEYyx54noLgAvAcgDneBnA9Um1X0sUisUgYwhZ/cMkljXtXVi/pQdX3D8fJ+4xKjEaawkTM4pfY5Crq9bLlBR+PpbzucYvnEJU7413n/i+/K09wS6KInoifzHBkvfmXH4eWRpMybX5UYzEO+zYPu0zsrVWbMaG1X+LP1kGkqadYnrIspKdbXcc08yyMvLAOMsUsBXFqNtmsJOVwViDAlGXz0esUyJwGT95OvCTqfk6PHFNGmpAjns/ASnaTFn6+gIaAyF6hLc1VPEvGVr8aFxQ2LdV5V0lpBX9bY+rfn384+demgMqXMv9XYUi0GnXVj57VWbnutDZo948PC0LSiUweQVxEZZLYgD1mRhJagxpcXTqqJD722QfkUpw9WNv4fTrZmHOe2tj3VcVjSGknTdVWS7UQ0tIwXCxjiEB3vogzb3gOc983s5wVGPPFjgPh0ufH/jgTX7hltvIcv6unUExlFUgTmJiSnIjWGBOkxRRTdcaKWak2/3pSkpkQeWvzdqhVNtci12b+/VlN5WIOq+Bhiagy1CBaRn5BqjYEcnE1EnP3J/70BE+1WPtHTgzZWbMHPRGlxyj1lR2bxUKwmIlj6ffXu18jifmGvau3Hi7541en7aYBaVJFzPnFFEZKcxjiDJryA7EVMIdprqoJJM9y3UIc080utVMOzSasg4199W4HVTrzxfMY6gxAYinMVwL4EA4nkUgAsAnANYlT1AvxyvvrMe7iGZi/bCOKRYYsAU9893DvfLkTTLxt4cpNZdzP6p5ZbeRj8NUVYqnwnMURJaVHf1F9GPPzat1Zuiv2dwiqe6swdumgvXVSSSkndsKXHsEaTfmnhZa47umMyhqqYkhwsW9+BnnX74XyxcUZpnKo2hJqYk6T1TrTEA2J8xdj6ATgBgjK0DENyabBvE42840QuPvrHSy2MY3FLa1M5knj4b31rSH+iLKwfhLHsAp1/wv0TbjwiwqSfybKTaOiX7OI/NX4tm31JpXOYj6FHEma9iVT7/ZhmN+n8zT+OSde7Z/P3PRCyPNKT/zzZ6cqj4uQtZ+863xWjds9L38Y37zjFSxYsTGUPrHct4yGXHkaQzVcnH3x8PjxvBTp7irjt+fe8cx5jqLHOIA6txmwmtXkMHD1ElIU7zomoFUDvNHwnjKYGZyeaXz/yJjZ0n9CCbIeSEzT9MFpHDfvkk/vK/dxOnbW4N94lVIa7zWRWFYTIxv3jrbJz95+fjkmdEkwpRzN50Fzpunb5/3Qbzv9O5qs30qJm/XX0+HxpTEf4eN2558+PuHhbo2uEwjtsZQBck5rEXPlFTjlZk/riFL2GPMnQLA6rLJxGMPvANwLYDgRXQngWQA/rQpVKUTY2OjTUNqi7IP1HQ5jECaGqaTzpmQuSkN0QqWIG67KnwFJhY416ZpR2J94ftsDy8ilJvqJo7vCVgNdcH/QxOCtRmLksKsehpVG/bV/ZPoZYVxu2Gc4ZqvbcnMHAGOKxfExhqr7EAMRgDY+zvAC4E8DM4uQynMMb+WS3CehP6SJMgQzJjMPuwIwf28f3uDeUyFq7YnhHEXz1BmhwJm7+ArOFdMSUmMCLojfQyav2WQRmqPizWbu/C6QusQ63bpJG75MGd6YSQ1hJiK5OfqnENd0WonGcN/cZRh/yYxAaLhJuGq9/HQZIjCFz60WiJvgtgDAgirR0mvR3ODnr9kM+SQq032g+zX5nP0eat/0884bnsHRdB07YfQQA4KF5K/GVw4PZoVFz6s4X38ftLyzxfiudzxVTGx+RUUcRRPnOh1xcnqnBqSJgGx1/9DNo2dWHx9Gm+cFVRsNc9Ql6gS85nPVG5iH2SGdOUN0Ep6unmmYtx4MShOG7XEaFtniW2Wi18+tBCMASs3dmLs0L5G9yRdK8oU/D0zGWdcpLW66iYi2uj+z//mv8M9UFsRwoZIY9avMWQzn5BtUppM+DZKyKWYuWoMlBnsBR73BhXe/6ivnrPQxpDAq6awbw/0Zpju4ZbzIl8pesm1Tl/K4b3GTnHlEqiSGbklzGEMbQIuhhYNrd40SGE8evloSgpIvMUqFctvDUwjbcOmtxmXeXxk6GCAz1ERBNdnDrnzxgb4P7P/+a/B9SCyDQgzreRS2KYqsz8qttfWIJdfvRg4lFKVUFU9E5cc4HCx1APnaHSJ/r8JqELnbHUdnCYaQ6BWkmdK0hMVRS5j+pDVcpM1a+18Lj3X7BjHpq48fvTveWXTdMX9Tk2pjKtypdrHQETfnUfz7PBHtVU0C6w0TbVKWuOJUV1Vd96N/v44t3QVfZcy0w6Sf3li+EQ/NCy8DrVKdy+WPjDGMu3gGnrnpoYVn3VgJfpJVwvLOngPP//hKWrXeyfksaQ3nP+eieweKK4qfIEOGUvZxrdONQflcTU5KufzZ3n5XHG9c9h1aYurR+iXIGn1s7neoWrrm3v9p7PkP4Et6kAvgxgtPvvS3BKct9ARBdWgbZeAcYY7pJin0IOZz4YKW5vDAAAgAElEQVQaA/P/n2ZTkinEVzjh6mfwpb/OCb0+yQQ3ft8fnni77HvLhT8qqfT3nQ/NWYMZry/HTBxypsBzns7goN0i2/mLRv4xliPDbT+2Nj+0zxstPkCGbjMIS3DwaNMcfe2MlZr2znRkkbR7m1mCqZD6VF3g8z57O+vWoiQ4T2rjzOu1VdMqeaiON8HgNgH8bYZgAgoksBzADwYQBzAPwinefLqj6ix+PiCVXjqTf9Wo7Jt1XQeePsku797gykp0qQQU9oqqnwMZUpslSwklXa93/dc+iWHp3IfnwIYO820zxXHRmJP3F/cnCJK7NmczwfGkc3zzhTt858HoDtKFtD5S7p4MFXwT3ToerjHozXy1kNkynBLy5yixfJfFnx7h2OADRw9UDYDvGWId0vFfilpmLMe7iGbFt4qoJHWdrTxEljUGtyq/c2ImufMGjn98wbnkt9cb3YE6jMzGdlU+XdBkBOUGNYv6U73rM1Dy+VWXAu4CPl4RiLpShxy1J5Xqrfz8diNpMJnaAaeICId73JNmJVuSavTGMpFLcQk8Rk6LaNWMAn5rdqzY1z7dwDPE9GlrrbwPwC3EVFfAPOrQl0NncaWr2nfHXGhV3y7ORj2+6zhjcH/LjGH/nz6Gi+56FQDw8wcXGEcGxcVdc5biaUkLioJWIlMcC2Nmnjo9BPlZ7jUG882/PvYe9Ln/EKNu4K1/ACVc/g+ffXaOkQ3Y2x538S9dtwfl/f8n7LTt480UmMQZ+nHXnjqW1TF75++8vY4mYey+Nsc2eP8rgI+cySNVvw/DtrfMfCymKUg2qYVsNaLH0rhrvnLMVrQhUBn1WdLehlXhcuaZrxXCmNTEmPsCiL6L4CD3UNfZoxx49dZiVNWY4TZE8PvC368OHs+i+AmE06DKlyQnm634pK6GSvvdf84FACyePq3itlSTuaOnoJUmi4wFbNCV+hjKu7d084Ouw3zpui0YPyw8Bv7d1e14nY7k/iruoWKh583GFwkv/PQ+PLVjl/W6QTUmFoI8BcMZk3mXIv3vsLdw3t7RdrDw+N3fl3eP6DpTPnffiXTwAAfvvJUixK0jvAJTHWoyr3qihmAC5w58Q1Z+6TGC1RUE2RN1duihyDSSBugttsALX3hNQAnfILKi3GUlGKiMZj6CnRhgyIG9mmQjtTXDxG505nidEd3Ac25LP4uFCzjKDJ4C1jltCVzb2ePQ09zng77MA4dKUPBpDJKzuVJzQYOkMaxt70KhGNznWdQY5Ex9eYy3dzlCR1iSn0nf7jF6IN5pS07Cvffln6KquOuiS1Uyikuo1xbKKcN9aGZfihKs2EdGZRPR9IvoR/1dN4moJPkHlxThqTRcHHOcHch6DaeijnbHJSRW/IjKHegUvRkq9CY+gu4JaZi/Hj+0oWyB9M29ltj6HHjZ45ZpftANTHlCTey8soNOeiGYMKnfjJk53O8tuTrZc3r6F8/jTdXlsqTeBpDlrzxJNcxksfnJm5KqtDHMKilEYfuOCz6Qhfd+SJuePodnralRxRhumblYm9xXDnw+Bu9Y8GVNvtvVj75VUdizyhJXK79DHB/DvwGcDCAPoF34lwiIaBAR3UVEnC4joDSI6MKm2jZ7v/h9kDBEag/A3n6RxN+rhCGgrihv7SmUz6swXPBjvAQDHDCbXrNl+SIt3PS/intu/Ywdo2TJBUVBKnVTbbcMhbk8oQx5Rc47/SiR5lx+ftixpD30b/GJLXYW5KCk9wU58Tj8d9tRufnfQdXPvAG/vZcUJNU4Z22zbj0P/N8Ppe4MMpjKDMq6TePvhl7lzoRKlNcrfzRscJVGWPHV40S4GoAnDzLGPk5EjQBaqvgsLWTGEDUAxA+VyxC6UNIY7vrygfj4dbOMN+ox0RjkgVFvjSEKKvKKjAXMGVyKnLTLmxdtzRlvuK4Yx5EKRYeai1Th0x1Y8uXAVRg7sg0nD+2FjRw8G9230LYrclKTr6yJTS3el86UbnM5J9Iv5E998QXczO+T+bySBfZJi1aA1+8ZC/3JkcgcX7LTzBzYTSeC/HI/xMq67y6Kk4ob5RZJPvnb792p8JbKzehpSmH0YP6KM9XkhynEhpqxRjiaAwziWj3ahBBRAPh5EP8GQAYY92MMbNNlhMC/wjBnUMkojUE0JbnSWbbk8FO1qUNAW1FMTLmpeldgjXq66tWLjHl7WHCUGEMpaqkxW4oKSZq4Pz29CJ/+n8wt4YuEqnPOXF3Hcb5/G9P++gb2veAQbOnp8dPMQYR0ZPo1BcV78jqX6RM7/lWoM3B+gAwkaAwCcnccNznqmOw7/bXOm4Jh/OvSf6OFG8QnT8XtEUe8RVT+LO2e8rr+fzyuQR+qg5/UuGaQwcx/zmaRw8n/fFoAsqAShusVWG/OIzhEABziGghEb1KRK8R0dyE6BgPoA3AX4joZSK60Q2D9UBE5xHRbCKa3dYWnL5TSCG5/y1J6tI+h9Dc3IfHJ7jEbQ1uSrFmoNIYAY0iJxqAbryqmWGT+PSwAoCknaAzueze6O32Vnm2wWxpAXu2F/qzZ2esceeM2JPtrU2eNbMLjGoGuvKC2GIrIZ8n1XOY+hUnCzTxTCpH95Bz3v79Bwn1Wj6CfGcpZxGLwmQMby7uh0XuiHaARrKYK5R88fnY1CFpNYwtUCpMdTq2TGuPQHAjgCOBfBRAF8FnUH6YgB85APsA+CNjbG84vouLxQsYY9czxqYyxqa2trYm9NgSdIt4HB8D1xCyGf9v88xn/2/VZJYnnZFoYgw46jUEuVS46UXk9pdKx6jmfw8xDHFFJhPOWbdDuRpYlksJV/eYJ8flxmcVVp+/phS1HQfbpniBDHmY8xVOh8jruIepFahvOmdL35MwLhqkBkTTJxzoW9d9JTUeVjqJXzOU4ew3tEtDeAMwGcDuBdnAHcnRMdSAEsZY7yW8V2QGEO1QRqNIY6PgX9H/vHi1sHR1cUPo6fepiQRry4NWv9U9KkWQG4rLxYZnnlzY5h5zfQzJW5IiodqaU/cdT712Jj6y+whce9a+kGU6IrXkXVS0GeWr4O1xHDGlFc++ZaY9hyVunijQsXl1KmAzXMtTn/Ml18RaxoqcxRD/foSHGc7y56D98z0tL8fvH35Yv8/3SCg+BtSJ6vsaBHN0InpMj5TESTAZzh/lsN4B8AiDF2RFJEMMZWENH7RDSFMbYQwFGocTa1LiopTpy+GAEClDi+aR6DrpiZn73khz68HxOe/qthfWq0xBCfoKNd5J/YBZwzVMCVx6CaaeCtvJ6y5l95Tu8SyGVJK4XJdLMD53nGSnwvo0ZtFuqDHoCug5tJT+Pu63TwdoVd5j8EwiirWQ8e9s6psrJxdEFlQeeG259lpVSQzxUZu7o814npoEnKiijkmpkTDJRwhYAOBLAiYyxQxhjvwcQb7NWM3wdwN+J6FUAe6GK+0mPu3gGfvbfN3zHdM7nnqEVJ/PBililQKldgWs9IlkBMBlW9GYOIsH1+RRSLzPeu3zhyEppyGQzr14RFQkJUU45rDOW9ZGUJnboLG4P4ftlCVHIX+azJEvnDQYOVYM9ONCo3ZjNaEJSNsDOrGWdjY1zqfhb/jSrecjrDidX4a/BqGnCSJ35hP+9tpVaI8AsLnTzxiUQlCY1lVkoWNbbUrSXp4oTBjDaXD2eH6CiG4goqNQBR8IY+wV14ewnB2PsFMbYuqSfIeJPT73j++2ZkgoyY/BLeDJEqZ5/SG4j5eaRMGlN1xZgVp44TaYkFWNQdVuBManfnMiAi7DlmIN5eVUrOqjRc1WSdNVngipJ0r5rsOu0mQ8CW7jz+797XsKGjJ6B9iM+PW003l81gUIucnCa+GHIkkQutUL2M/BhEZirdQ8DazGiEtQF8cUxJ/RozRxKVzXTfI81rVdtgcnvD9B3BeSBl6OR/KnJaomiDQlMcb+BeBfbpTQyQC+BWA4Ef0RwL2MsYerTGONoAlXjbhLvN4LU/XCVp3FIi+IKYNbGnxbnWYoImJJUUl5A4owgsIbgUUQiVJObMf+7ch9zn8YsugQnKWe05b5jRQluwoSWF3GVhJ3T0JrJEO54n0Qm37NOQxdRxg320iTSWY3a48tTdMXvxOqwQoqtUCNMYdI8NzXw2oI1AscIrS1FJ0c8HRJ9E9DMUnwn/0PRHNBqvVKq6JYPZhJciVW6PWaL4b+/MZY+2MsdsYYyfB2ZvhZQAXVY2yGsOrlRQzKkmcby1unRilf0Brc/0VprV9zDtP2GKlsK2hKCl4TiErS0FWrDcRFelSakYqKIvObknhNmKZcFu8I1SMrDe2snxMegms+cDlUUS87TGPw3ig7EIiuNF5XGYBLWLJM7sE8DPvGh7SPvy4fYUHTPrTTBLa7G4GkAnMlGnmH349XFMVpHBJMp7RLOi3vSni8ArFyrnc622aCmrYDpjbJ0bPnpU0gRVG7pFhn+CYFSS3+4pQ5xUnfdwQTK45eBqDwD0YU39wIMgIjBLcDKJDagEi0uRdBI/JzufBrjmkSQph5b20PkZmq//ZZd3m3Btyn7DePvBk450VVSQ8Vxw2RaJZSaAxlzvpGg/LWw/s3a8/pJPPQ0EwjpltuVJK6L3cZ6d9ivuRjMH9OnlEVA/K32GgWfr2sLKH+3OkBtSqrVro7J7qTRC6CbfLrQ0qIn4WnssMJxnqI/tG8TgBKDyEtmCaWKnCLOSGDK0gzbyzmRRLDJ8VVGzhtPx/XtfK13LmLcYnbzXKJy2zxgAwSJ1fGFRtWuCinwMKobmfo+Xn3w9GIOlMSXLp5JIJyX2OcM7ElKROuopeGC8+YSfsNnqA8pxumJkmxengZD5HX1dq02mU95ncH0P6nNvp+n3mjE90eK4/B/FKlE9wfrSa1HTJmykGXQjO1jKFK8GV5Fhn+/coHyBeK2uqqUZ9BHLw8QmT4nAIcxNHhRSXop0teWgRkrIOFoCKzVAOKP4Rsd6c7f9vwS4VjJlHTpSbt6vglRY/j20ZMrjsAotw8YnC+/7YOnzknYo3vbWlSf4tEMSz3umJME0UWa1cZPFt7khi88eOE55ThtYEepj0GkZpePOnIrhY+CmnJG2EoPqZRj4GQ4e2CkrtkZmtFZVsz8ur3MrPrQVi7cewNUAcGHe9tBQX3vUq1rZ3l11dVZQIDt1xnGN5Z3Y7tXLXd0xh8piSmnciBkhgqm32AnmhNppq4eebiiCtUUlSpn8WFs0lwXo8d2lJWMo/Tv+aLngOoZjIXbi1WMQWVKashmAkIAf29VbkS5Me+mppQPT1ZXDNAnq8kCTZCxhdNlRFaAjoxCUhfPyyinnHpMOYku82feFXRLF2wP0KNquhDGoLAtWY6gSxI5d6n7wDR093uCKm+AmXv+DE3fBMxcegcGuyss/nbI9oSoJehgo4nxUipKnGkJZoJdW8KLLSvs4kjEBxIxyHScTnDD61P+b1pfuY2lTiHtt1lGOS+fi+nY7xTPGcl4HwOlGBnPtpkDbYcmPbSdgOacfWn9goc1wUsyaZM0dSnI1U8XK6PQWfW1Y3pOAwoMmFVn+JuHq4rCT8nnqPD3KUZcJQluauGk7OZiYZtjDOJCzsv79mnIhkQlRbQnnG/IZrx9BQBnYohbKgLOnxzbVGIwS3HTHU8IYdINbpTGIEtKQvo1lmZLEPgtbBMIySItMPclLUTDOvZO36+ed4xqDfJf8DqVonJM4gSneYSJcqunkXnrX/Dt6xQ3ccptyatVGxX6Sun2SNVTT1GRXRK9PHwMkxLYEfz/lsTk9Ysypzn4yX3vBa4rhKNQV2AsjYTexs0JZX+3uyWLO7TqGYMx/7mqcBm64H2Ij68uEEK4Ewo3aIkD6JrnlgUnuCagXmueX6sBFAV1/ZiSRC5K1CJjGNqvybhyqL/t0t+hmbshCxtjTKtJAKU+F7de5ONEfl8xsoSonxLhUGkO5ESxxFkZVNi0fK4uljeblsFxHY3Ds3ibDK0MULyuZM033t4lE7jwnuu1SHkNy88JEiKyEnMXD0FUqfPDxvJY7bdUTFbUZhm9MYxIV0/ZZuAI7GwCeXODnfXLkZ86WN3WVESfUN2YznfC4WnQUxnTolqGQFTkua6JBnDe2vacfD0x7F8Q/zdqFRUFAVpS1zUDpsy3Pt7aN/GspI8TSthhqHI1AxXLnwnnMrKc52Pw3yO+HxEFpGKRyDjfTJVMKELXlIoxcIX2pN8/6zsuF94TNQYt0xaeS0BAsPrGkZMCt6zcn2IlfP/Kmt4jyxVtVnqbcqCyxjTCQ5m8OTpITehz9PFPG8NMH3sC4i2f4n+X+P7Rfk3fs7peWhlbKnTQrbHmMQBtsH652FLpuhsiUK/uFfvexY5flclrzkognffwBtm7r0piSTQWRod01SX7h11nv4YH0Hn7p+rLzimg86JK2e5AsD4YX1x42em4rS9R2NQS4Ovn17/IFigL+p5JgutLpFNdScfG1wYEBdZrySGn1KCcs+JJxVLYKmD2/RtchnDhcVO8Y6qFUSddh2kMmyI0NPFddCHEYp8TBXeYO2xK0AH+3X/Oxe8enewtz3nOq4PAmVOGgle5REOiXkJ/KkhQeLf61wiScPQzXP/1O4Bh//09KCYyX/WeeUZuVYJtjDKKEnz6uB5gtMqdqbgC8E8sYzHLlMRlGnRpfHEP28+cs3+lR8bdhgmaGPKvAdzOQENBOobfUlxiAvVEfvnsh1+/cm9QES+ReCel8y2/jBhDMViyZynC0sNC1flp3IKM1jgSwd8DH6GEDfBLUvADkNa8IVDJ3jHnOBkmQ1fFGMTw4VAYrMBiMwTywng5VAs7H8/c58f7RGWqUa3VYSXFPVp4H8WY30qNwZf5XDquMwNWnkuDGx8qk4f3w84+VNs+ctyzcipEEtjkfg2pgiB8vrgmG36tLWmvI+p3PYTBxNvcUGK64X6hIrrklnSVMS38GsKcJ8oYLSVu+akhznpJm8Z2ot0JmSnn9nDWa/tw6n7j0aB01/PLTcRlHnY+CLuoKp5bIZn9BSKgTLO8kLsmUsgmZRg9s0KLNhmHIlZrTE4G9dHYYchLXinrT30GvkdZI1B5bPj2hZnELKDnoOBnO9/9x6M22vG1EWdaaEKZAddfJKwbukKZSfgYMkT40Lgh3m/TPbErwTbHGFQfSqwjE3dB7SkUkcvoni4XJWzsCIVFJhoOIq9xAbXwMPAOzKWdWVnv/8UPw/LtrAehNSUXGtKVBOMrLYyj9faJgM//k9c8BnAPbafpDvOrUpSc0wOrqdfuDfU9yTN0PAtU8swq2z3vPd4/MxCM8rPT+extDVUwgw6DCThwxVnxcYnw4yQfQkA4PhdRxiVj5ffQGYEqlgOeW9jOTvca5upc4BEGzy/7s2VmzFlRP/AtXF2ZAyLXJPHSI9Gn3Y87D1XFGzPkH0fWx1AFqD5UvsCETdrjawwNihBAjgxRQE3X5jEYPlucHLXwMfCKpyYL9QXHTPYNnYl3YZ6EYHU0jTszbnl+Cd4WomY7uAj5x3SwsWOFXqyMnvvRIXUigao0+/7aXsKmzxzsn0l9kUDrnn5UXbC1PVMMwodOWLaJLMluITbjpnKgBgSF//Ysmh2mCeMaYMYxWxbku30feXC87JGopKY5CPlcy6nksbA1MmF2/X3v+vfnl+C4377NGYtWhOkL5R6g/M+Da/0d0HSGPYd61TRNS25z+Ern+NSk5HMqlyDnrya2Pcag6FOfxmDY5ys3dmL+Msfer5psHM4OXv5jlWoMInQ+BpNFZvmGDiOnLh+sJir7KXuPjmRcnXGOIqnEjvltHTwGfun6W9/vFxWvxwuK1+Mn9b0j3hENmRrrtU3X9uqkz7zpB/W3ppFmf5iGYH5Rlntw3GXlc+qDGIDz5iynD89NTdceWpuynvVy3MxWIwykk2ja5p74aJ0UoWgkRT0ql7jw7UjpKvAQQnnv6IKwe6jB2K0u9ufd73U3qtuLasla4VKvSE+JR2iGGExRGNo9Erux7dAcIhmK5GWT0wdg2pj22MMnKo1B+HimmYoHTX8cH/ndM8gXi6HSllhRk0OnYZTFGHQag0FTh/3iSZ+5RQe+RoRt9sLR0piVNIYgnikWGWYvWREo+MpMWN77nffrs26t91+js0xwyY9DtF6H7FM6ObCwgxTk+k+BKIm93GjSPlP6Wv/9unlz6ET/xplu9YV74YYAyliDrHZ3Pm/jtgQLN6Ax/VZkpFxgJtysLOPjsMMsoXkN+PO5+/dNgE/PLjne/hyP+RrOErfEIHjRIRjd90uQL+KBqV5N2IIr9ncjWVutKLa+VyCuFY88KrfFMcDNXTmN934VDGGnDJFP8zxpz1E68hPDNscYVAt/vlCa1CY7tYm/e/IsVGPIEAUG7nYD1CWQkyrwBZgxBh7N8ccnF4WGn6fIF0MTG3JjLSBqD2pT0moGmIn8rMfJLS617QhepIvexitkxqJ3PgKNdFpljIhIXyiIzcwLLeQy+nkhjSQzd35fGC66vh6OwpBnw9cXwxfRSMocBYQGMQmfavTt8Tl5+8m9FzxHdgrLQnSZ+GLHLZjNLHn0ZCRmXWwLf6bKGj7DzIQ54B6P4PwiTHjteU4aPrjAHR1tJjy78vu829RzxmtTsvWCR7iuPWbkkrXnhJmuk8I2xxhUC5U/Kkl9n04l7CkUQz9Uligg+Y4cqGYMphoD+Rak8k1JHD9/cAHeErbUlMEZgzjInddKjbFMu15auuk5c1KLixlUli1Vtqvq8yPTt5wvMMyXJ38EkA5mbWtrdjeTjlsToyhfQXEbYMAffnTErExo6eUK138nb90dyQLUuj5XODCxVZhRAlzx/VXhUccr8rE/bc+1SmyjiyV9S1YWbnRpd567RsncXz9VogIE6/XOZ/LCcqIi1QxBiLKEtHLRHR/tZ6hEiTFcFLdoqWTlnsinM9iGQSOwS2NymvLimzTn3BO1+MoLXyhzcydft6+f1NfKJhaVrZ4xhsEtDfj0AWNj0ShqDLpJye/QSmrSYd3mQrz/JrT2la4vneqYk0VTBWHRpBkJpM6Ol6zrw4uK1flOSifNZoTEIlEferzIlrdjYGfr9uUb8dojw4FGgMSVxJ6xKnig9GJfH/FRoD/NKz48NTm5JUi2nURj1R58RjYXOMawy6dUMcdr999C3vb7muGuCYxMRu0+VMJYlUnMQYA3wSgLuyfEFQfU5SEdIk+WsaQLwacZyKyGQoscDrTk7HGgPCFF4iWduRY6JKdOngjH5S8D8KSnobIZMnA+O5JRlEosd7kYjRNVKlqnMchOQlUFW0djcGrUfPvoyf77C07EUlZigIWi2scgQo59f3nJnOl9/mySZOVFJso/BXIRU5aKs2NAZWmKDj+9l68P3lQb0eQxcElZJ+AF4jvng4UzG7zvIZShYP4xrnDEpTUvTjJTKkg8HnqNCQdRiY1segmbc9SlOS/11GSc73aiA1jIGIxgCYBuDGaj5Htfi2d+eFcFXnnf3mB1IWd5YvF0EJ73Fn5U2EjG931lTqfZ7y6HE8sXBU4rsK6Lf5NQLgkK963ZM0WXPafeR5d7W7JnBHlxFauMZsm/TP30gTcCcdd/emoRugvhDBUI9kcfYUEUT/lDJB3oNIYuyeGt/q68phX5quXy60u2n7hL+M3eZ0m8iL7hi3zVkM7FLYqjyGDyqDYaPinmt3twdGlbpJaCVkcdwyt6jscvIAfjcweMAmDEGnT2NQRCWRxAaVGkNRzxiSDOQO/1yEhmxG22e6b9WdL50Y7voi+zblvHeJmjNJITWMAcBvAVwIQNmTnRHQeEc0motltbW1lP0T1Qf723BJvE3rVBiqAE663YUtwR6XuAvPq16iQIWD5hk5fLRTd5AiTQMYMnLkkJOon8/Ntewuf+8mJkW0CpgCBHKSO3hG/c8TJunrkYc93wv5luXLhsNxUnSCZDGDu0ZH5Z1NaOnvwu7twHAsg2d6M6H+2aAIHMW7eM+SdvHJJz/eRkPGfJEVZmSisyR1oichLj7vnaI7/6eQtFxPkvkni4mH1529LwB/3D3BH+/+xMK20KgkGV35AjZ15QOx/HFtzhNa++KQScN8xx6ct8L3+5yDxnl/y1FDnYZDH3bB+TXjgm4d6DFZZkkP+HaIxyNnyuQwF7vf2+lD0SyyNQWUG9ZXE0DeWISdktSevviYsuIHjnZ6ftjl+dvid2Gz3QM5/F3eOiXKSCMRDRiQBWMcbm6K5hjF3PGJvKGJva2qreicoEugxFDjnOXMThnVz0ROJYvFANRFSIyClVXVz5j+YbOQOljjhlfPxR7jBkYOK4bmlHx05s7Hel/Jzc7lA9I8b1Lx5zfn85ZtxLiLZ2BDh59Bygv4joIGoTrPEcUY+kshl82+/QBK8JU156YkTSisrEn8+dl3A9cwxn0Gznfqn21QyYZ194/P4+/NLHM0oZJKOH+Ywx1vP3c93XPwuT7/Z5s9jiGDmKzd0AUAgjj8uHr/gcPz45F1Dnrxk7tKQphY1vGeIrqN4mlsag8AdkJHt7NpMJjC/O+3U5KsZQXCveHzbFMkRoyGVCfAzRpqQBzQ34nmLsZFB9rlW53a4pUMAYABwP4KBEtBnAHgCOJ6G/VeND5blVIUSIS4cVQK87J5hcgOipJFa4aNjkOnv+rJwLExg/ugpUntcDKp6vg/KdYfKNngj9jJKXVdUJiSOA+V6b9nzlI/DVLbcoSL7n3DwnwBYHeJnETZrfAy+EEn3/7xGADBJ0uMJeHwBEk0SHV4WeLhln98yZTt/WQZ5sWoXKppGaQw8s3rkQDVjiLPonTWzth2vO3Acv//AY5XlRS4gTHhlVnVgnFPnacP/Xh6uWkM3ow1XF/ixnz+eoK8N8QryyrN7HoEa3nRsPg4ymqjExSSAVjYIxdwhgbwxgbB+BTAB5njJ2d9HM+WN+B5RscB5outFCVkRqGyMxnBWPIZQlznLz0WZ+y3veYuP5696Ejf5BSfpqNSnBSrN3cFznPG0NeNUvF8DApVWR7/v3pEKrgmnZft6jrGEFWGnQYYvKsknuYkag/O/zmberTExiZA1BtVQyZBTJkIH/spiYhJDUJNbJpTRiBpz/JvJuQjlLhXT9hiJnwcoeHhEAACAASURBVH0bPeYlRiyJWkIUAxehMuuJUM073cKudD4T+cYToTS//v3KB1i1sdP7rYw4nQzTzApx6RKs3BeeNeGe4KSncx9ClqXekT4grtVsLbFNF9HoEaXHEQHUtGbnIWRS68iaZz/5juQxhnYJ8G9GuK1/0qmnR0ioyhryJ2ndvg+7o0qDQGDt0EaMpl0JUvBhYqWcIsV2OQIbYrTm55hzz5mAhdntJKIN5ZvxEPzVngLrmoyZjOk9DlxqMxMbZu6Aou4aPKK8u3ydzKRuuOAa6ODWxqxpdvN+i0zoSpKn61HTLpmMuClJ6Xz2f48MOddv2NKDb97xCnYZOQCtbu0k5Z7pzJ+8qGMSn/nzC3hh8VrlOYdizb7gnLoj7GBQCyooNnTjgZ48p7+OM4dKTdpEfCKA0X6uNVGgMIhhjTzLGTqxG26LddMTAPnjmwiMC1+icnzzp09hQiayXJZg1eFqBcR1LQ8hqEOEFVtmue2cqZRr7AMP2/C/CVv5XcPPy2Hs1i+ouP74FvHLUjnLjlhZ99xmVHqS5LHG35FxvDQvBX4zj9eUZq8nGuc/3U+FhNT0uX3z8eqTV2h3ydDhE/tt4NyRzJAnLcXfNWdp0JTUXTIlRYWreklimv402YdZBS6gDO5b8umI/RuHEUVJ46pKsLpwU1URPTmm39kVr2Q6nXL6hwzuvzlExswbomILfx2CgMSg01A/Wb9Hed+/Lzr4jssY7sKUBFx2/E24/74AwshND6hhDNUFEnmLb7SADAlq58IBQRKE1O00nW2RPtY5A/Mp9o5cp9vrwLncYQER/PNQYuLRaKDNc9tQhPLCxFfC1cnuQkA0KkxvzQ3ZPGdYyYHomSCpiR1/8QNvSsyhi/9dQ7uefkD39aSflNS5RoDRykSJHiOyH3/Y6cEnT0Kv8jvVeEvnnnuntABFOZ89jUHqt0qtC9yEpEu81DGiB19fERhb4juYziFd0lnQlOT4GOS+dSLInyLuXn1dntfsl/bislL8TIVg1WQTBCZboUARBhK0X97s1l9Z3BM2UXzl8ohfUUG1sU4wBgKdmtnernF7tSRIRZe535QqQpSVYn45pQZPijcIC/PvceXl6yTnuNSnK69olFAASNISRaS5fWz99bXpiCpiR1nu/E1BmBAs0PvorZSFq5vMYrQGMLqPcnSrsr5zBEVXaNjDFu6C2jWZC5HmWGiNoWKFXEjgDv1dYyBnL7qtUnnrL/9tDu6c/b7vmOGeVKH3aDUGuCUxhGOZjHNCNIXy7lH5mW6ZuVgbuBAHUaakXDaDlsYcnOrqD26WajPs4mw9VA9scY/j6kZMwbY+R2tK1Bc2g1KE8U5Jz/f4Thqhu0UJVQ4aB4Yf/eh2nXjvTnd61fqwi+C9/vWvYxxEGDhjHIGoO4SN7wmale2Gmc+HjAmfSD3MVr9eaSRKWS3MTSAqJGE5ak1S0tnJOHO53DGoDu9tr0rsJ8CR9SYK/kYys98VoGPx8Et6oqsHA9/68O4RQq/fX+d3ywSd8/0595Zqwh/ndv7XJbiJ4M5nVQSSeIwzi7lLN2jNkCYwNSU1ZgktjVm8uHgddrv0Id85E9NcLfZcCMM2xxiG9mvCnNWfuE4iR5wjbSEWF8kxJzvVH7lQqH7zzyAFmD0RQY1BBnFRhiz43I5iU1JbBTSLyIhm2Beghk4ahnX5PT940xNSfGmMdUxMUkSmP44qHjS9eG9IWcFBfmfI4y3+jOr97cre0fU43BqKxEDPCFqkVwbE4en0T/wnMF9GzFWMr/Kkq2JgLF4+jQfs37mLX/CamhUUsbvp8gQj/Yqevd6GoPQgNjnoqAWl5HxqwnBnUjcictmMF5Qhmj3FNsKgS9CsFbY5xhCFNe3d6M4XYw2YKMYgmy/ECdffnYx9YlTMjEoiYoz5JsV3n7pyLPzz+luLKEu3lDESe8S0vnDuPHICjdy4xPXGxcBZ2teQbhbXt3R69G4RQUZV2JB4Tv08YA5T9nD1zyVC3DUfHkOo1iydotgb7mwyGSMbjjSKehlmlJ8qRw0cS1zw6D8fC3P4w5Pzg69BlygqDpfiZinRJ7c71c9/CYWrNioKY4n+1cc57NfO+AaQxHtXXl8sL7Dp8WKY6AMRRmAo6mHfS+CumCh88zoh8bxnhVUDljFIuO35JTj/tpdi2WvDnKgZCtq7RVWSn2mOUTHRLyEHCb3thSWBCfprKfeguSGDj+w+wmNSnukzhMPCBL6+B2Qz5dhDjGtOQvo0gKmWCh5USUeHh+Ssxb5mzled6QWNQMUqxz4/ddQSO3tlJ5BOZntCwRy9Ivf69yosfCpHpnN7QS+J7FUQuGVmOoUIHgY6W5IYMrT90N93z1IABOEpy8n7JqsRYlYtN5nc8u5+4X20Zk3PO971sqNnVi9uStQdpsoKAiJUUln3fg8Dp7+uFcGG/CPgX7NMcM/BZr4M3l/yRBLnuFwu7NdgYr4qZz4mCcsYFHhk/spYTqkwWzkvoidCnBB8YTcppauKtlA5qV54d61Rpc4xg1s8JqWLnPFLhti/uj0tO2MlLjFLNb3Hy8gn0+UMckw6nLE6pBRnr2tUaQykqqdQvjbkMvnHUjg4twqKgc7aWn2nL+LyfqJywgQR5aB00cCiBOHkOy05aP9YZsBmftPxb77DBYe61KEFkq+BlMzJwAMGl4Pyz66Ue0nuTw9+aJvDp5w9TMAENioh9zniLW++G2FIsMrbp0vUXaT9xXpHyM3QDQl8eKQvKyMDDG/56b/lTQrnk7UlznysBixj0CCOhmmyl4EIUWPg0uhkzeAS8fsz9gYA7DSi5I9QOVOduG79GyxdtwWdPU5iHqdPnroCqw2GTW3HQxGH40mETS6YWVdSOcIzbdDlj44tLXI1BhBhV5g+R5M8sHctlSiWyRTPCkL7hztawn8s1R40MujR2GK0/dHYA6IUtElI+h3Kgk/jIm4cOqZ4iOUlNTEsf+49UBGAXGfJL1WlcQkGslZYj8nZh1W+m7iGGjvKo0XUWMoMpSlcTEwbOkuIJchZZQZg97XZsIYVEmptYRlDBrE0RjCJF+VtClObD54neH5FGMYO7YtdRg6AuCypNIb75i4LaAx88f7J/fNxyM+fAOBI0txebRoFoarbr7TBC+/ITUn8ECetnkgxe3R4aqjyGbKZURkFcFIb3V++kJz+jHCpFjWHM4D5ae/MZ+23vaYvRGoPrY0jY+SxqDFEYpNCynRKHCRFMVMUUjEOWLTDkHCaXv8cVDxzuVBYp+jYGTII6BjZ0l06Nov+fZ1KYQSdrSXUCfxiwyGVJ+nX90eF1FdNGl4P58pth6wjMHFBClxJJaPIUTyVUl3ooTNfQtEwOURFS8Bx/H4+IJV3m9dvPNX3GKBnMm4UnIVNufgag8pEopKoxcgRb4F1D7EYC5EJlFFJgmaQ0zCG7YeEVykNK98ctZiI5sVnLzoSN53znIe/3jsNL1WevOHk3IYpG/S0fmrcCjDFP26k0D0YG7ymT8OHW/k2YdcmRvmPi2Ikb9iwnR4rtqMuzniJpnSWPIK4QDcQxs6iz5QcRNqpxIp/L6s6O74DEEsSw+h26nvSih89yDxysZcC1hGYOLx797uPc3nr79iijAJLirenZscMkT4zIHj8KvT9wy/Puff3KWS6IXGXMazV8s7uoXdI0PJGIRjPbIpyT1uwhhun+MzUyGvE9ZS3LWsM/NniAqKrUuq1y30MCjbgryUUvbCIAsIdblmDU/cejVw2AyJCUy6jZfJf+uscnPPrGqpA8hsrAx7qpJiL3m6htxo3yCWMMKrNUvlgsCRjCMwtCuGpJYyjRJYY3y4yMAOygqIKgguhjnae/Oew7mEW6fiF0oz5VfPLgA67d0R0Y8JiQvVYQUkJA+5DKZWKaksG0R5UVz8fRpvt9cquCTfoBmnonD0kWyPcTIkZWmu0acxhLfDFz+VxqA0l4k+hgKXvP0z2mRBPWaX7SKvUVZXlcJV+YTlGsONn5kan+t0A0TwRPhZMnMHiOBjarwlv/uQEnxDQ3JANZfJtm7q8d0q6Jr/nUC2zXTH8VlWeJAw6xiC3xSFqnAbx2EmP+46KPgZtqxciprh6/KSlDhLu+cmAkrYDft9TRXfDMgM2K0G3Zx3Dtk4tw+X3zI5lnrSqonhtJQbwLqjVvO3Q8/mOYvApdV7AolQ1wgwwZ31CTmCVt8cg2ICJ+T8x1Mtlvk+MYdL/t+N2YznpSonKwPMMcBNCGzImSV7iWtlXrLVx9EYTKDOY/CHpXIGyGsT7T5mYKSEzO3lKvOIqEXE1RgAhylnJF9TnmDnPcbAWkcvoNwgqt4geYxLjjokOIRAgaoMoGXJlXhGqpvLFUl2kopfMxrQ+hmH9glWUOyVTEpHjnbzLZAOnHQtjplu6Ct4mTKqdH5Xzuyhcj/TBJJzCWg22q7LYKh01uxWGT/TvC5TLhBbIAvz1YjBKSnEcX9eUQDl2J2HuW01ZTL4KZzPhQos9siaQx/f+690PZFzHALdHEMH9Bc0hgiwuMG9mnAmvZupXSsnrCXk0xi4Kcn5XRMfg2hKIgrQSBQ9ATmTicoxMXmPqIS4poZMqMbAI82ifFblwAvLjXHPw9/+MP73n9mr8+L75voVWDAc2oSusb1Uah+h8dp7hj8JjTPAxFJnSbyOO9YLAaOL6brb0FDyhsElRHkalXUfVnWALSwRi2eY1BhWzEACkWnY/bpyGL0/YejcnSVpYiohxbp+0zGgCwg1sSfEBzAxZPn4aFPzkBB08anhr22H+S7XpawdMUAZaiomNja15OaH3htheKKEngVVpV0HFVL6J6XnFLCvC9Kzs5kJoBoP1btx5DJnUGCyZYkiNQbOcPo25fDC94/CsH4lh6D4zibvEWVtas5lQ7PPGWPIF1jiEUmAUDE0RtOTt+uPT37In2WiqU2Boq4TNbUxMSWGMQaWpNeYynj9gQmtfx/nMmM/sJ2a/qwrpdXSro5LiLsgd3Xm0NPB54XzgnQW69Kd2+CSLj0iENjGGb1xhUyGWCu66J4AvGVw+fiK+7iVM6RH3j06duj1P2Hm0sPXOb5vZD+uD9ntR0RV/tx2ORWPPVmGx674DCs2tiFMYNbjEt/cE1BVUI7KippxUZn1zzPlOT5GJKRS1a4u/KJbculnL+TJ5sTDO8f2GzcEGzt7sGDFJt814sI0fECzNsrk0B1bcZe03amMqMne1JAJzXYtFhnau/LhkUPlnWZLK3h2MS8Sin2vOe6Uqv6fsPTqyjeaQfA+VZN2Uy+DoXbbDP798IKaOHYy75yz1lcRgrBSMkC8ynZTVdv0+k5OyNy3S3CFFJ3F917sHjkc0QPnPgWNz/6rLAPYwBPVGmJOtjSCeyGdJGJfUUivjeP+c6n15VhW1YhzgLJGcOYQWZRFCJa+zdh1MBmTGzthwPdbFuioDQdBtXkMR3HpZr53JRU3gTYdZTfdLd8nfZBByk55lSmJ9+XIQc3KOHS5X0R6RTPJT90ENY6rFJFlkaakXBad+QIu+888jLt4RoBhL1y5CXe8n+H6gEimQXFRS3HayGXLLyqsZ2pjB0WNUV4LcoUutMQDAh8YNcTftcYQ4bkoqFJnPz6TyeYiBFsx1nPgPxI/w63DwGoDSHsxnCFw6dgIZsxqeZcHQXivjsTS+Etltu+GySsIxBgbCopJmL1uBfryxzrzMwnISTM/Xd0zVb7jtWXLVDBSQRiykFnwhjCzD+mZZ95X3CfjmlpB7nkgGx+2NwVjIqRzTLyOw5qacQwnd38BpwZPeMgtoGfgjbmMZ2aaOnYwPr5vsKR71GRvyjkaw80zFwMIhks//65+m0mOMhWGsp3WRITGnrD7M1gRhpiTVHFTtJy6WxMgL+Q/5AlMyhj8++bb3d0EwJa0P2apVBVFj4EKDqKkeoCir394V3J9BnhtUYUopshrQOIlGK0e1MJqJcqViHj+45Cnd+6UCcuf8Ose8tMLXzUmRwoh3dhxCHsamAw8f71Z/anG0997/DIcFGOB7/1Yd9vmSH7yyg7/8vSnzjZ+ruRXzypcbfRA5WMQV6YRLuxfDXXIHRMNmqyNzdknfU5R+dkbO/QLSqXriJevUUZDjblwp3kUwkq0qxSR7Qb4s9WzGad6sTgG/D6GYCMbO/3bqfL3VmljnOhSZk/vDw8eXu+ZMcf5MaO2HZy86wnefSRenwceQCsZARNsT0RNENJ+I5hHRN+tJj7PwREtRJmu+nuJBefMJOFVDlgIiw3/ghZTkhC5qoFvGYLnwwrIyFqVbEb21uyGLs0PK3KJS/jCil8b8CJbSFkc6pn3X5ICx674DB899gpSjuKLByIOSbyK/N30zKGiO+Vy/j37ZDfUSzpkDR4EbmwRVqHplwGPYVirEJ0nIsI0hhufecf7e0KrM17O2n+s75qGrFOkUi5zAThmm6gIIB6uGhc8EotrDLuPHggA2EfS5GVByiQzn3JqSSsgDuIAxtguAAwCcT0S71IuYMI3Bd52Bb0B0Fh4yaVglZPlgIt09+K1Dfb8LRaaUXPmi9Y0jnJ2l9K9zcoA6XdP6PYlaVhlVyvCCZVUSpkGt0cl6G+N7ixJvY2s+XACdCDlkWwzIDpcYjNIaoyZ7LnkjIfg8PEXBN30xmOS0/aFd87bkogbNsEDa4pqX/c8tUuwpiRrzw5Aw6cMDQYXZbJIF9kvv7h3WhSnuroo+BjigJfY4O997iHjMeuSIzGx1R+hGNRuTQROyxgAAIyx5Yyxl9y/NwF4A0B0SEOVsKW7YKRWnmkjt4i5lSfobopo656BxgfwKncbAj8jSzXePnez9zTV1lSmJ+xiiTEPVGu5534IKnH3j83h4/kpMnaO3r1fUR31u5I5uCOnlxfnd1u/e3bKGo1JSUzWSMS1bLqHRYDWxpwPlHTCpLUm3MZdBdKJbt38hknCI9+58MY2KfBV0NKRtvmLqV/K5dxts4VGQNnkPOWbYh8frFMjWGTq8HxnSCzGVKWWJHrqJlpDPHpnSRopIMEPIhoHYG8Az0vHzyOi2UQ0u62tTXVrYvhgfQdOv26W8pz4WU1sgeSTVCulTGg34ryKNp10nlPeKs5UI/Pi+Y/C1I3f0MrH5e+vaBaKjq5JgjHIEECBnfzM8+/ZqAMCwfk3eZBWfraJC9W3kd730npJIS2y05t/ke2joGEPXtnQWuNLriZhDXC9z5XHbJbwCThvfH3EuPxSPfOUx7zabOvDqR0jXBiaYknblo0yfERnc8c5x48PvK+DR1+jUGHBunDq/IqZFiNQQIR9QNwN4BvMcY2iucYY9czxqYyxqa2tsZXneZNCjzAATT6gz1mdqMYg+AUUdlpZmyGQVmPY5EZKiKeO23WE75pStnLwfm4n/pSb8KRDnD0KdDh0nx6A5zm9KKh2XC+lxqKulBg/e9WX/zlwn7jEK/zr/YAD6LUJ1nzhaY/CbklRO0yjUg5U0uj6GOLXFnyoVKQ+c+BlFjmL98Y+A6QL3VZne+iNFSZdQvHz4BC644PpSWte1OIl9UCRt5vphoDNb5LICIGuAwnhb8zxu6pNz06iAuCScarOF+SsrEDfqn3jSuOxyl7jfKd54NLnEwFFm7rFqUuLvzLw1gVidWnMYv5nlx+Hi44Pd66HxaybIpsh/Pij/vLkOqftemFfaPG1f3baHoF25U+z66gB2FPKOgdKi4vO5q+L0DFxnPov5AHtd/kjo9SJMw4WrgYasE5WUNFs4YkpQ+FOHWjsmuO5CtHbwj/PUhfKcPU5KaMpmI8ug8PW9nX1N40Uv5u+tKq4tIg66YCsZAzor5ZwBvMMZ+XS86+A5pYVjfUVpsTDi7KCAkKQnIC5kswHKGwJ17n3YUinn6zLTSSSoz999R2t91iiMYAODWcomzUcfa11qEpl8EkyRYtZpKKDuNuTd0eVcVWmWnrYtq5ndqYrXqhzeEb1jawxlIMaCO0BNOYqNyWpcJEQwccjnlQaQy5D6JF8DDpMHtHPY+yiuUg2gaoKReoQntSUvEfk24ZJNhKptQU3MTdVGKhgDgIMBfBrAkUT0ivvvI7Um4qQ9R0Uyh/+793XvbxPns6hi9w2pnJBkXspQomx64ZN8kDdww27W4qMlMrBSuWv6QCSt/YIqWxlww0kM0JQnHTaplcsifctkGdbkRHs6rnq0arK0YYZUqSfQw63HROcH+Kepqkm1znc9Jyrlh+hPe5Lgen4PoYRHu/qoBdlsgrQileG6h86977nzIVHoLV/sDqrj06DMb29sNeDuOg/+d3DcfWnguuNiVZRbaSCMTDGnmWMEWNsD8bYXu6/B+pBS5z8nABMzsOhj4BEMicAlk0cCyTZvbuZqzpk7v7pC/Cf8PeJoPf/52sGY8Y1DPC0jCY2huSETqBckvtN5nt872/v7VJ/Yybld2bOokYC5xyv39k1OcrRh1GkOkKSmbidQYhvVrxJE7Re9PUUs0Zh0fQ6XaTqBdnYdzyxEIlY8iSF64qSu+qCLlshrwy2WGMgY+v7Ye0eJsqaek0CFkXm/cVdyRShklbjSGFiBOyt2pTnZ+Q14nxJQmKWwcv9ivsPDOvX6FVtlTWGsAnc2VPwFkQ+WfjVvO7N4BZz5rbHmEHYddRAL1s1ifcnnRVXUHuHdeVbr6fuOCWgM5x48Hn/9/H7Kdq88dTecLpSyuO9rhyiv436SU6UCcTyLWqcxREVk8bDLn8GvC+69ezufufFHrjC8XYn4DX/B1yZnc+SwyA+Xe5EReWyJjCBMGo1YDE41B/Pa8oKRDj9rvmIaInNFtdVUKcyCETDUA0JSXpfOaOSj4BxMH09IVHeCqznECkWny+eOh43PDMuzhj/x0wc9EaAAJjcOn/nwbSd8Ymp22P/CUNj08q7oDGbjClNdvqrJCxVFdIfnaTPmRw5sA9+efqe+KdbJXX3MQOV12UyhNcunOzZgWx7oMsy1YlKWgCiNwcTHkIZoFRk8wa2Sekki7jjvACxb3+Fb2LlA0bcxuFzlMo7G0lXwMwbdnYs+1D3HuhpW2iZqzcTUG3/GMWmOIWwetGrCMQYJJxdRvHb0j9hs/BAeMj14kq8X7h/ZtxBn77YCzn3JpJYkSLbxcpAx/D/03bBf83zb9oyppTS1MO0/YYiUqQFF+UnYWq6p5J16gSoRIIuEN8s6ZIWoaAn43cdgTM0Na5MfAzVfKdywTUG2Rl/t+FWmTIOcAUPMcucL/iqcNOcqDEI40I31ngbImMP37NdT2s2nQ+Fl0D1aNLktGo1hSF9NvbIawpqSJJhoDIP6NOCgicOMzE4fGudw/28cOali2kQQEX522u7Yza3RnorNLBjQGQ5Vf7odKNoj50Um7oLV/E4YPCHfkmSIYAlh/1bspl8UVJ++Ku79ykPI8EeG6T++rLTuRnzWQiI3smDQ9GsABOlNURU1px4XFTYtGcBBpzGaxWaEn7jg1WFo3VrrDg8u8t714IOIJc3q2V1NSQn9bbp1YXwcsYgMh7e/p1fOhBXuL4ijrBQYBNtAdCbEbMaH0MaYDUGCSYLYL8YTuQjd9oOL//wGAyunshTAF8eT9hzlc/LKjEFXO1+G7GOoJGv5uF1HBBLm4uLas/bxypTI2aRvr9ocuN70PZPEpw8cV/a9nYTkxA5pz+OXpe+KgiWoNtaUxh798Tu07qTYqLbutgyh0cf9FuMZQQFM2E1kIkJujtghZ0bzv9xs/nBPuN9zO0MB+CqQanW1JIseXs+GHlF5dMElZjkGCiBZiWi+aoNlMAgAuOnYxBLQ2Yfpq/ZIQcCWQqnXfMBKzuj64WP7D4SZ+znmGFMEgtNCqilCWH927+5AcftOiLZqLaEEHculAMejsy3lxUhFtFrzGU8nM6NOjjn3kPFobsjgECGDPrzv9bKzWL47DLqkR/mx44a24N6vqjXOWsMyBglxC+OlBYfu2IpXfnRsnYK/ZSjUG73cK6rdwmHyjOLX1RQzt26gsu1FthL1TuZVLawHRnMLfQc5MrxRcY1A5n1dvdkpTvLRknPRpzmUhGtdvogVhwxQm+fR3CxrYqgW37Ieb5MYB+LGaIfILoziMHYFBL/f0LgDUlBSBrDL87Y2/knC0V858653rFh/ZKxldcCH57civtfXe79No03D+yRnCIRwsThJ4YFxsGcHx5T1n2VIkxq7VfmXge1ngLgQn3/EJJyx3w4YMbA55A5zXHPmPigyhmuecHZcU+0VIpazaBI0BhPzVv+mHDZ15UODIlTO4c8fnPB5jh/b1CidGQVVH6guHjMfgvo3oFBIpUyR7WY1Bhiy5HTxxKE7bx79V49RxlTnWaolPTPUXtttinUHESEH0M8RPbqg2Tgm2yrTjtCGN2qdYYBMbQUygmxhQAYNoeI3HSnqM886dKYzhq5+E+WkoJnw5jnmNiqt9nzKLs47qj9xg/BOQePxxE7DcfZB4yNvgH+gA9O32FuLSjRuZ1kOHulsIxBguwMSiJbN00wnLRORlXwMSe9dXQmG9m3EFw4ZryzBDQDXnb0Pvv+RnWtMVWUIc5rGCXaoNcTQ4Wo5/Hm7Ko1BLMzYnmM14DuHdxwzEJ6aOwbVn7attl1sHChGCxveOm4LjdnUyzsuZBWIC5mR3z3auuadI3vLBMgYJsmRcnznaHaYapc4vzgV98fA+MGdzHODSvFiAi/ODEXXDiniMxbmhL4PzYoX0j94ZIG47eeTufKSGXIa/MnRppNSWKBuAmt+o12KgEvdd9X4XxulspgdHQ71w5obsAvPr4npiiK1HFw4UfeqU/G+UdMClgN4kDUnGBq8SgXOMVFLmCGYfOuN3jV7agDZlGRiz047xP14hw8wU/X5eD15r9F49qIjU7EPrYwBzQ144ruHn4/OHjPft/tUbtbwhfRsxTtgHuzGXwSl7j8YJu43At4/ZsY6UhUMsMhe1H0e54NVzWxqCDLJJKoOxnuctx9MpBGCpwIdBoVzV3QpSjOIvtc2d20rWlkkbvX/USRhoXwEpRjo26HiWcywER4Ycn7oLffLJUnMK+3annipi9ZIvRryuGPZ++L4f2Ts9snDf8GSNWZO2GmJHG+ThreD/vs4CSUirWsrv/0vl7iBM8dnPwAACjNJREFUm+9erjEYDHavfH0ZORuiie0np+yGTx8wFkfs5PhGhvVrxMf3LV8bqRbSq6PWCZVkn+KYV/ZpzQPT2t70a4prUGzUGwO/I1cW+b4to7deE9Vt6Ioswnrj7KAxsacDi6dN8x4/VJFdyY4CJn9M7LVJQTBi3mDo0Y2OzLriYiXHX6nrhrzlLsqanPVQ9YxiAhTU7WpPCHM/fBsb952kgyYb1FVZAgnfrdqVLGtNXQbAaURh0waFtg8KUnc+vn9MPPtNZEJfgNjVP4FSsXzTJI+OWPQbeAUBlFj0JXYeO2ynY2uSLGgKyxgkpCksMylM3q5/QIrS4XMHj8eVD7yRikJecTBRcHw2JbCFaD3w44/uhjtnv4+bZy6unNymx8Lcv7F/V9kcO7IOPhQg1E4b11VbDDQPXGKKcz0CJMZSzPojOZ939actqt4xBgqgwiI41ngyznteOLH56AL354Qr3JiA1R2uqtzH2XUQNw2Ud3xc0zF9cl+7q34vHvHl7WfeccNB6v/H979x5jRXnGncfz7k6sg5VZCt9IKVGukiQVEhdJWWxQpaeUfk2JNoLS0aZtetDUN1D+qaU1sY9piahRFtDFUrZcInoTZYkNQ0VQQjN7mUBS9AQdBWLS1pNDz9Y94Dc5Y9C8tyzpw95/dJJjvzzpyZ991ndp+dmXff2f02nX6kw4m1e3149uOXqTzD53M7HpTTU/f1zLq6rq4KOdI9aFqBPzzNYnTvhVv7osuIqYyflRO/f7S7Wn/GQK9846/hWednoNG9CHJXMnMvQkRzKY/amRp3TL7Map59MysC8Xd6N/jK2bKwZJ04AFQA9gUUTcnVkg90j3AQf16lfUfH36S3TytOM/ceBmvvfXfoqvRZT7XGsulo4fy3PwpRVejU+oiMUjqAdwJXAnsnAdZKWhYRW2pdl1K3tI8Pr/yPMVafWgaeScvAzg1wZmbHq4vEAFwCtEbELgBJDwMzgJonhsH9e7Nkn7qXtPsz66ZfGdLsxeMzMOqteEsPZwO7c8h6gul0dOlDpAdOcyaNqXBMzs9rrNg+fJX1T0jpJ6w4enPFh0dczMGla9JIa9QH6glRGp7KiIuCciJkTEhGHD2n9vrpmZdV29JIa1wHmSRknqDcwElhVcJzOznplQXzxgi4n1J3wVWkHVXXRwRLxdcLTOzplQXiQEgIp4Cniq6HmZmza5ebiWZmVmdcGIwM7MyTgxmnZlZG3XH8fUkHgde6sIsPAm+epup0B83WXnCbm4Xb3DnnRMQJ+/t3y8TQVZLWRUTTDF/ZbO0Ft7lZnuM3V4VtJZmZWxonBzMzKNGtiuKfoCtRYs7UX3OZm4TZXQVM+YzAzs8qa9YrBzMwqcGIwM7MyTZUYnJE2TtF1Sq6R5RdensyR9RNJqSVskvSzpB6l8iKQ/S9qRvg5O5ZJ0R2rvRknjc/uanbbfIWl2rvwinSZvSZ+6QpNq3tJykHpJekrQ8LY+StCbV8ZE0Ii+S+qTl1rR+ZG4f81P5dklX5crr7pyQNEjSY5K2nSdoqaVITxPiGdE5vlvSQpL6NFmdJiyUdkLQ5V1b1uFY6RocioikmslFbdwKjgd7ABmBM0fXqZBtangPFpfgDwd2AM8EtgXiqfB/wizU8H/gQImAisSeVDgF3p6+A0PziteyFtq/TZL9RBu38I/B5Ynpb/nAMxM83cD307z3wHuTvMzgUfS/JgU7z7AqHQe9KjXcwL4HTA3zfcGBjVyjMne4PgKcGYuvl9ttDgDnnwXGA5tzZVWPa6VjdFjXon8IahiUScCK3PJ8YH7R9epim5YCVwLbgZZU1gJsT/MLgWtz229P668FnFubKF6ayFmBbrrxsu4LaOAJYBXweWJ5O+jeBnm3jSjZs+6Q03zNtp7axLm1Xj+cEMDD9klSb8kaOncenVvkNS3JYDVzVinIGRlCeGqse10jE6mprpVlJ775U+u6C6dFm6fB4HrAGGR8S+tGo/MDzNV2pznR+V72ikv0m+AHwNH0vJQ4O2IeD8t5+t4tF1p/Ttp+85+H4o0CjgI3J9uny2S1J8GjnFE7AVuB14Hn9pHF7UUaO84ltYhrpWNU1EyJoWFIOgt4HLg+It7Nr4vsz4KG6IMs6YvAgYh4sei61FBPstsNd0XEnOOA/ZJf/RzVSjAHSPe8ZZEnxw0B/YFqhlSpALeJ6ssdopsRwwvdKdweSepElhSUR8UQqfkNSS1rfnAhxI5ZXa3FH5iHbKizIZuFrSq8DDZLeTFgCDJJVeMpWv49F2pfUDgbfo/PehSHuAPRGxJi0/RpYonGjXGAFcAr0TEwYh4D3iCLPaNHOeSWsS10jEqaqbE0O3fK516GdwHbI2IX+VWLQNKvRNmkz17KJXPnSj0cJgLvpEvKFcBUSYPTX2tTye7B7gPelTQxHWtWbl81FxHzI2JERIwki9czEXEdsBq4Jm3Wtr2ln78M1aftI5TNTb5ZRwHlkD+rq7pyIiP3Abknnp6IpwBYaNMbJ68BESf1SnUptbtg459QirpWOUVmRnD50KePAznawnz07gpqLrcwr1/zTZZeBGYH2appPdX10F7ABWAkPS9gLuTO3dBEzI7etrQGua5uTKnJwCb02d+S5uHoAW2/XKO9UoaTfYD3wo8CvRJ5X3TcmtaPzr3+ZtSm7aT64VTj+cEMBZYl+L8JFnvnk4aOMXALsC3V60GynkUNFWfgIbJnKO+RXRl+vRZxrXSMjiYPiWFmZmWa6VaSmZmdBCcGMzMr48RgnZmZlnBjMzKyME4OZmZVxYrCmI2mopPVp2i9pb275b1U65jhJ953iZ1ee1IiYZqeJu6taU5N0M3AonIm6v8nEeBX4eERtO4bOzgRERcevpr5nZ8XzFYJYj6VD6ermkv0haKmmXpNskXSfphTTm/cfSdsMknPS5pbZomt7PPAcCFpaQg6WZJD0p6Lo2R/41U3iLp2XTlslnSZ9IulpGNlmlWEz1PvIlZ0/okcAHwnT7Jx7xdFxCXKXpD0PeB6srGbfh0Rf5X0UbIhCy5os5/Sf6TmXUg2dn5/4CVJfyT75b8iIm6V1APonBxAR/0rDPAyNiLeq0lKzHCcGs8rWRhquWNJO4OlUvgn4XJq/AhijYy9B+4CksyLiUG4/LWRDaectnjYjDwGFJq4FLyMb0WZwGSnwyItbntj9ANvKoE4NVnW8lmVX2v9z8kdzyEY79UXUGMDEixqbp7DZJnAeAw2fg+eW0f7kVEPEv2lq+9wAOSZuXW9037Mas6Jwazrnma7LYSAJLGtrPNVuDcNmUzlL3XeCjZnAIFrJZ0DvBER9wKLyIbbLo2q+yHg1dNee7N2ODGYdc33gQnKXti+BfhW2w0iYhswMD2ELtlINqz0n88DPIuIfZAlig6SXgC+TPb8AuAh4Po69zcysqtxd1awGJN0A/DsiFnW2i6ykBcCyiFhVzTqalfiKnwaw27qL8mUVnbHZSsFryFYOZmZXxFYOZmZVxYjAzszJODGZmVsaJwczMyjgxmJlZmf8D6pVOStQUnkBwAAAAASUVORK5CYII=n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fadd175c7f0>”

]

}, “metadata”: {}, “output_type”: “display_data”

}, {

“data”: {

“image/png”: 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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fadd175d7f0>”

]

}, “metadata”: {}, “output_type”: “display_data”

}, {

“data”: {

“image/png”: 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”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fadd1989dd8>”

]

}, “metadata”: {}, “output_type”: “display_data”

}, {

“data”: {

“image/png”: 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”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fadd194def0>”

]

}, “metadata”: {}, “output_type”: “display_data”

}, {

“data”: {

“image/png”: 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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fadd1978cc0>”

]

}, “metadata”: {}, “output_type”: “display_data”

}

], “source”: [

“# Angle vs Time for 28-32 bpn”, “plt.title(‘Bending Angle for 28-32 bp’)n”, “n”, “# Calculating angle between the tangent vectors of 38th and 32nd base-stepsn”, “angle = fdna.calculate_angle_bw_tangents([28,32])n”, “# Change to Degreen”, “angle = np.degrees(angle)n”, “# Plottingn”, “plt.plot(fdna.time, angle)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Angle ( $^o$)’)n”, “plt.show()n”, “n”, “n”, “# Angle vs Time for 25-35 bpn”, “plt.title(‘Bending Angle for 25-35 bp’)n”, “n”, “# Calculating angle between the tangent vectors of 25th and 35th base-stepsn”, “angle = fdna.calculate_angle_bw_tangents([25,35])n”, “# Change to Degreen”, “angle = np.degrees(angle)n”, “# Plottingn”, “plt.plot(fdna.time, angle)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Angle ( $^o$)’)n”, “plt.show()n”, “n”, “# Angle vs Time for 20-40 bpn”, “plt.title(‘Bending Angle for 20-40 bp’)n”, “n”, “# Calculating angle between the tangent vectors of 20th and 40th base-stepsn”, “angle = fdna.calculate_angle_bw_tangents([20,40])n”, “# Change to Degreen”, “angle = np.degrees(angle)n”, “# Plottingn”, “plt.plot(fdna.time, angle)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Angle ( $^o$)’)n”, “plt.show()n”, “n”, “# Angle vs Time for 15-45 bpn”, “plt.title(‘Bending Angle for 15-45 bp’)n”, “n”, “# Calculating angle between the tangent vectors of 15th and 45th base-stepsn”, “angle = fdna.calculate_angle_bw_tangents([15,45])n”, “# Change to Degreen”, “angle = np.degrees(angle)n”, “# Plottingn”, “plt.plot(fdna.time, angle)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Angle ( $^o$)’)n”, “plt.show()n”, “n”, “# Angle vs Time for 5-55 bpn”, “plt.title(‘Bending Angle for 5-55 bp’)n”, “n”, “# Calculating angle between the tangent vectors of 5th and 55th base-stepsn”, “angle = fdna.calculate_angle_bw_tangents([5,55])n”, “# Change to Degreen”, “angle = np.degrees(angle)n”, “# Plottingn”, “plt.plot(fdna.time, angle)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Angle ( $^o$)’)n”, “plt.show()”

]

}

], “metadata”: {

“kernelspec”: {

“display_name”: “Python 3”, “language”: “python”, “name”: “python3”

}, “language_info”: {

“codemirror_mode”: {

“name”: “ipython”, “version”: 3

}, “file_extension”: “.py”, “mimetype”: “text/x-python”, “name”: “python”, “nbconvert_exporter”: “python”, “pygments_lexer”: “ipython3”, “version”: “3.5.2”

}

}, “nbformat”: 4, “nbformat_minor”: 1

}