{
“cells”: [
{

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

“## Analysis of local helical parametersn”, “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_steps_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”, “* Two following input files are required in this tutorialn”, ” * L-BPH_cdna.dat (do_x3dna output from the trajectory, which contains the DNA bound with the protein)n”, ” * L-BPH_odna.dat (do_x3dna output from the trajectory, which only contains the free DNA)n”, ” n”, ” 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”, “* 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.n”

]

}, {

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

“collapsed”: true

}, “outputs”: [], “source”: [

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

]

}, {

“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”, “n”, “* One helical-step is formed by two adjacent base-pairs. Therefore, total number of helical-steps is less than one of total number of base-pairs.n”, “n”, “n”, “* Six helical parameters (X-displacement, Y-displacement, helical-rise, Inclination, Tip and Helical-twist) can be read and stored in DNA object from the input file using function [set_base_step_parameters(…, helical=True)](http://do-x3dna.readthedocs.io/en/latest/dna_class_api.html#dnaMD.dnaMD.DNA.set_base_step_parameters).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/L-BPH_cdna.datn”, “Reading frame 1000n”, “Finished reading…. Total number of frame read = 1001n”, “n”, “Reading file : tutorial_data/L-BPH_odna.datn”, “Reading frame 1000n”, “Finished reading…. Total number of frame read = 1001n”

]

}

], “source”: [

“## Initializationn”, “pdna = dnaMD.DNA(60) #Initialization for 60 base-pairs DNA bound with the proteinn”, “fdna = dnaMD.DNA(60) #Initialization for 60 base-pairs free DNAn”, “n”, “## If HDF5 file is used to store/save data use these:n”, “# pdna = dnaMD.DNA(60, filename=’cdna.h5’) #Initialization for 60 base-pairs DNA bound with the proteinn”, “# 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 helical steps = Number of base-pairs - onen”, “# Number of helcial steps in a 60 base-pairs DNA = 59n”, “# "bp=[1, 59]" will load local helical parameters of 1 to 59 base-stepsn”, “# "parameters = ‘All’ " will load all six parameters (X-disp, Y-disp, h-Rise, Inclination, Tip and h-Twist)n”, “pdna.set_base_step_parameters(‘tutorial_data/L-BPH_cdna.dat’, bp_step=[1, 59], parameters=’all’, step_range=True, helical=True)n”, “fdna.set_base_step_parameters(‘tutorial_data/L-BPH_odna.dat’, bp_step=[1, 59], parameters=’all’, step_range=True, helical=True)”

]

}, {

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

“### Local base-step parameter of a base-pair directly from dictionaryn”, “n”, “* The DNA.data is a python dictionary which contains all the data as a Python Dictionary. For a base-step, parameter as a function of time can be directly extracted.n”

]

}, {

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

{
“data”: {

“image/png”: “iVBORw0KGgoAAAANSUhEUgAAAY8AAAEWCAYAAACe8xtsAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvAOZPmwAAIABJREFUeJzsnXecFdXZx3/PNpayNFmKtAVsKArCihjUKDYsUWPUWGKM0ZA3mrzmNYklJho1iSVqNCa2qNEYW+wGFIOKig1YkF4UaVKEld7Z8rx/zJx7z8w9M3Nm7ty59y7n+/nsZ++dds6dOXOe85TzHGJmGAwGg8EQhpJ8V8BgMBgMxYcRHgaDwWAIjREeBoPBYAiNER4Gg8FgCI0RHgaDwWAIjREeBoPBYAiNER4GQ54honeJ6DKPfb8jon8lXSeDIQgjPAwGF0TUiogeJaJlRLSFiGYQ0cnS/hFENIGI1hNRPRE9T0Q98llngyFpjPAwGDIpA/AlgG8C6ADgNwD+TUQ19v5OAB4GUAOgL4AtAP6RdCUNhnxihIfB4IKZtzHz75h5KTM3M/NYAEsADLP3v8HMzzPzZmbeDuCvAEaK84nocSL6GxGNszWXyUQ0QNp/AhEtIKJNRPRXABRQpUoies6+1nQiGixdaykRXUdE84hoAxH9g4gq47wfBoMKIzwMhgCIqBuA/QDM9TjkaMW+8wDcBEtLWQTgD/a1ugB4CZY20wXAF5AEjwdnAHgeQGcATwN4hYjKpf0XAjgJwAC7nr/R+V0GQzYY4WEw+GB30k8BeIKZFyj2HwLgBgC/cu16mZmnMHOjff4Qe/spAOYy8wvM3ADgHgBfBVRjmnT83QAqAYyQ9v+Vmb9k5vWwhNT54X6lwRAeIzwMBg+IqATAkwB2A/ipYv8+AN4AcCUzT3LtlgXCdgDt7M97w/KnAADYykz6JfyRj28GsMK+TsZ+AMtc+wyGnFCW7woYDIUIERGARwF0A3CKPeqX9/cF8BaAW5j5yRCXXg2gt6uc3t6HA67jSwD0ArBKtR9AH9c+gyEnGM3DYFDzAICBAL7FzDvkHUTUE8A7sMxFD4a87jgABxHRWURUBuB/AXQPOGeYdPzPAewC8Im0/woi6kVEnQFcD+C5kHUyGEJjhIfB4MLWKn4My0/xFRFttf8utA+5DEB/AL+T9m3VuTYzfw3gHAC3AVgHYF8AHwac9iqA7wLYAOAiAGe5NKGnAfwXwGJYDvjf69TFYMgGMotBGQzFCxEtBXAZM7+V77oY9iyM5mEwGAyG0BjhYTAYDIbQGLOVwWAwGEJjNA+DwWAwhCbReR5EVAqgDsBKZj6NiPoBeBbAXgCmAbiImXcrzrsOwKUAmgD8LzO/GVRWly5duKamJs7qGwwGQ4tn2rRpXzNzddBxSU8SvBLAfADt7e+3A/gzMz9LRA/CEhAPyCcQ0YGw8gQdBGvm7FtEtB8zN/kVVFNTg7q6urjrbzAYDC0aIlqmc1xiZisi6gXgVACP2N8JwCgAL9iHPAHgTMWpZwB4lpl3MfMSWEnmhue+xgaDwWDwIkmfxz0ArgbQbH/fC8BGO3EcYOXr6ak4ryecuXu8jgMRjSGiOiKqq6+vj6fWBoPBYMggEeFBRKcBWMvM03JZDjM/zMy1zFxbXR1osjMYDAZDRJLyeYwEcDoRnQIrnXR7APcC6EhEZbb20QvASsW5K+FM/OZ1nMFgMBgSIhHNg5mvY+ZezFwDy/n9DjNfCGAigLPtwy6GlcPHzWsAzrPXle4HKxfQlASqbTAYDAYP8j3P4xoAVxHRIlg+kEcBgIhOJ6KbAYCZ5wL4N4B5AMYDuCIo0spgMBgMuaXFzjCvra1lE6prMBgM4SCiacxcG3RcvjUPg8GQJVt3NeKVT40b0JAsZiVBg6HIuf7l2Xh1xir0r26LQ3p1zHd1DHsIRvMwGIqc1Zt2AgC27zauQENyGOFhMBgMhtAY4WEwGAyG0BjhYTAYDIbQGOFhMBgMhtAY4WEwGAyG0BjhYTAYDIbQGOFhMBhyzqYdDfhy/fZ8V8MQI0Z4GAyGnHPqXybhqDsm5rsahhgxwsNgMOScFRt25LsKhpgxwsNgKHZaZm5TQ4FjhEcLprmZsWlHQ76rYTAYWiBGeMTIRY9ORs214xIrj5l9nZB3TViIwTf9Fxu3706sToY8QPmugGFPxAiPGJn0+deJlvfYh0tx1B0TMXfVJuX+/8xcDQCJaR9fb92FxqbmRMoyGAz5xQiPImbKknUAgOXr1NpHU7NlDC8tyf3QdGdDE2p//xauf3lOzssyGAz5JxHhQUSVRDSFiGYS0VwiusnePomIZth/q4joFY/zm6TjXkuizsWAWASSPGSDEB5lJbl/zLsaLY3j9dmrc16WwWDIP0ktBrULwChm3kpE5QA+IKI3mPkocQARvQjgVY/zdzDzkCQqWkykg2zU0qPRFh4JyA4I5aa5hS5rXNCYW553mpoZ7yxYi+MHdgV5jeZaGIloHmyx1f5abv+lmjwRtQcwCoBS8zCoCdI8kuzIS+xKNMdQ5OdrtuCu/y4Et3BBtPTrbbjg759g265GHPy7N3H9y7PzXSWDzfuf1ePDRfo+zMc+WIIf/bMOY2ftOZp3Yj4PIiolohkA1gKYwMyTpd1nAnibmTd7nF5JRHVE9AkRnelTxhj7uLr6+voYa1+oWJ2r1zgnH87rOATW+X//BPe9syh2R//WXY2xXi8b7nv7cxxz57v46It1eHdhPbbsbMRTk5dHu9ieMdBNlO8/NgUXPjI5+ECblRutSZBrt+zKVZUKjsSEBzM32aanXgCGE9Egaff5AJ7xOb0vM9cCuADAPUQ0wKOMh5m5lplrq6urY6t7oZLWPNS9h/B5JGHWEEXEoSw0NHFs1xIsWrsVg258E/+u+zK+i2bBXRM+S31m6QHNX70ZOxvMcrLFxh5iqXKQeLQVM28EMBHAaAAgoi4AhgPwnCDBzCvt/4sBvAvg0JxXtIjw1Dxs4ZGE8UeYmDiG0sSLGGe9F63dAgB4a96aGK9qceWzn2LYLRMiny8LyZPvnYRfv2TMV348+ckyz/lNazfvxCOTFidu8oy7uEVrt2gnkvzg86/RkAcrQ1LRVtVE1NH+3BrACQAW2LvPBjCWmXd6nNuJiFrZn7sAGAlgXu5rXfgEtVdhQkriPRJFxOHzEMJQdADTlq3H7sZsXw7rqrm4Fa/OWIV126JPxJy2bIPje53ruyHN9t2N+O0rc3Dew58o9//kqen4/bj5WPz1Ns9rMDOW+OzPhrgUkOPvfl8rkeT05RvwvUcn447xCwKPjZukNI8eACYS0SwAU2H5PMba+86Dy2RFRLVE9Ij9dSCAOiKaCUtjuY2ZjfBAunP1UpnTmkfupYcQUFF8Hpt2NKDm2nGYuGAtAKcZbtHaLfjOAx/jlrHZPXIRDRZFkH61aSdOuPs9rNiwHV9tUo5xsuLxj5Y6vvs9r807G7Bo7VbP/YVOthqBGJx4ZU3YYAtxv2Je/nQljr3zXUz6PH6/aNIhHuu3Wr93cX1uhKEfSUVbzWLmQ5n5EGYexMw3S/uOYebxruPrmPky+/NHzHwwMw+2/z+aRJ0Ba+Lbr1+ejU3bwzlum+MYfmsgSvESHvkIVopS5oLVVpzE/e8ucl4LwAb73s9f7RVLoYcQSFE6r2enLsfna7fiyNsnYsStb2PdVn2n6M6GJvy77stQ5fodes4DH+P4u99znaB96byT6zbZxMETY2etsDIyfLYmPiFsfB4GB8/XfYmnJy/H3RMWhjqvKaFeO+UwD1CWo1Znzead+hFKMf7ktNkqvsunrhnhXPf927ZL36F9y9h5uPqFWfjoi3WRy5NZuGaL9nUKkbiaidd1UlkVfHrzlE+thYeC5xojPHyIGqzUlLDmEWRojVqbw//4Ns746weadVGXohM5lNKg7B+SdphzbDZkMVEySofhPqOiTP+1WbrOMifktE0kMOpdtHYrFnyVnfYHZB/KHfRTmzUmxgYNtgx6GOHhQ9SRSWLCQ/g8NI+LwheatlRVEYvrt+KA347HS9NXhCzVnnDYHN8oUXQYkR6Nq+wwJgqhpbRtpZ/MIepvfX326gzne1wcf/d7GH3PpKyv08yMYbdMwOVPTYuhVqrrW//9ZnlTFv6vKDBzi9RyjPDwIT0iDkdjDMLjPzNX4c25X2kdWwjpEFS/eOFXlonlv3PDhceKn2ONUp1RUo1Nzbhl7LxQfgfrot71DEuY0fM22+zXurwUAPDm3K9ylrb/nx8vw3ce+CjWa+5ubMYD734R2/WYgXXbduP12XptOyzCZOznd0ybMOPv0FVC4if/mo5+173ue96bc78quqUTjPDQwK9zXvDVZmzZ6XSox+Ew/9kzn+LHT/qPztI+D38SCdXNohB2SWnxe+ROWnx8e8FaPPrBEtz42txQZZRk4TB3nxHm8W7f7TTb/f39xaHLyyf//Hgpbo8xDDSutuh1HfHu+ZWTC83DzxQ2PmAQuGbzTvz4yWm44unp8VUoAYzw8CGocTEzRt8zCZc+XufYHofmoYMYORWA4hFLhyd+hvxyu3+b6Bwam5wlrty4Aze+OsfTZKhywr//WT0W14ePuAkzOBABB+JZ6QRThPYL5LC56QQHMDPuf3cR6jVSc2Tr8wg6W9xfP60iFXmXVU2cZKPF7LAHGMW2zrsRHj4ENQchJKYsXe/YnnRmWTHq+XL9dqWDOl/m1qjFpv0TkuYRcM2rnpuBJz5ehjrXs0hdU3LCC77/2BSMuus95fF+yPdz1Ub/F15MbkzNg9EQPMVmHp+5YhPuGL8Qv3h+ZuCx2f60IM1R3F+/26waSMRFFBOyaOclhTAKDIERHj4ETcITKQHcIeWJaR6uYo66YyJ+9M+6zOMSnCQY6VyP+jVzpknOK5Ow2O5VjbTZKkL9XOfIQu2kP7/ve657IKGjeRSS7PBrO3NWbsITHy1NvQfbbS1r884GjLrrXeUKl7nWPMSr51tODvvoKGbRZo82HYYpS9fj+YTzthnhoYGXPVOMKt0TkhKbJKhodHEthRv2N6g6mbDvgvgdssOcdA3UAYWp/ChRka+xJWAeTEqoMdD/unGYszI43DV0FX1++5OfLEvl9dJh1cYd+FozGOG0+z7Aja/NTdVXCOiPFq3D4vptuOetzzPOYc0sM19t2okH3/vCszP2EmpNGj6PoGtEIZvwX45B89iysxG/emFW5POjkNRiUC2S3SnNw/nQE/d5wH/EE6W/DD3RUXG49hVcB4q7uXF7Q6oj071WsJ9Kt1LSOa7Swzxe2Qavf56OaYu1TCS/fWUOKkpL8NkfTtYq+Ru3vQMAWHrbqXY5weekhKlL+KvO1e2wL39qGqYv34jjB3bFPl2rUtu37vQX1qn77VNx0dEXinmwOSV881uPsBjNw4egxZZE6vAy11Nvak44wyX5d2hR3pGwc1XicZiLSYLW/+888FEq4sz9orufSWDEmet/NoQxTURJTqk1ag5xvd1SxtXHP1yCmmvHxbpWijvqL20+yaykbrMSgQbugZgQbl6koq18jsnGPPTIpMVZpcr5fM0W1Fw7zjHh0vg8WjBej7TBNluVZAiPHFfIhqUe0c8cE8UOG1Z78isiKFTRjd87FDRy9dqfNh+FvxeZPg/1cSozS5AvRlmexjFRzW9PfrIMgJW6PK66iHteQoSVG3fgrflWgktVFXXrHUY7+HDR16lweXF9v3LcWZvD8Ptx83HyvdEnS4r5La9LKw6KuhbCfK0wGOHhQ1BHJRyFbp9HY0KahzyajlsFT2qWPBCugxK4bcyp987jYtmkp39minOFP6+O6bY3Fnim+g7T2et0auz5JWb0nAcArGfQEJA6X/c26Lq6Vm/agQsfmYxf2pFeKYe5TzVyMs9Ds98XfUOplD8l7TOKrz5JYISHD0FmK2EOcCdhS8xqJTljfTWPCJcOb7aK/ia673OUAViQwzIlPMJfOpXZV+DX6XjdtjAd1YbtVor6qR5hx7rXSyolhle0kKr0sHWS25W8rPLOhmZs2t6AdXZK8uXrd3ie5yal1YSqSTwIjb6sNH2zxLtmzFYtEC91Uvg83GarMJrHazNX4Sf/ipbnR7wgDPbtTMS+UXe+i2/d50x0uH7bbvzq+ZmpiUqCsNpTrmfr6l7f6zCxPe5oK33Cn/PeQu/1JoKE9ZrNO5UDANGWl67bHikdxupNmfNahJOaQI5aqQSF7l0gRWh1g2ti6KpNO7DDntfUpqLUWY5PQbLmMWflJu0V+1S/5763P8etr8/Xbp9CAMp+UtGelq3bhpprx+HzIsmcbISHD6I9ePo8vDQPuzG8OmMlaq4dh39P9Y6//t9nPsUbc9I+gQVfbcaBN4z3PN5RP03NQ/ySxV9vw+yVztj7P0/4DM9PW4EXpjnr6JYdqzft8F3XRC5d16H42ZotypBglayWf6uKoEGbePGbmxlH3v4OXpu5SquO6mt574tzbRV/P5ZcqHPfig3bcfgf38Zf3nGujyLzo3/W4fi7/eeoAJmd/RG3vpOR6FI8Qx3NQ9/nkYl7NcmmZsany61EkG7hoeXzAOO0+z7QWrHPumbmtrsmfIaHNFLOCNKaR7rrFdfdbEeSvTJjpfb18okRHj6wJD0am5rxx9fnY7203GiDxzwPkTrjymdnAAAefF8/sdyTHy/LyIfkWT/pf7bjafeL4dY8jrj1HRx1h3ekizwq+80rcwLLm71iE0788/t48P0voqVZCdlJ/9BOIbOjoQkrNuzA1S8Ez4b2IormESV8233KYX94K/XZrwpitcP3PvNfKe/rrbvQ3Myp5I26uJfJlX+b3A6YgQnz1mDsrLSg1r0NKr/EblckyrNTl+OPr1t5t0TiSblsL55RDOY22abC8XO8gzt8BZKiPe5saEoJN4HQBmXNw63RFEvK+MSEBxFVEtEUIppJRHOJ6CZ7++NEtISIZth/QzzOv5iIPrf/Lk6q3oK35q/Bw+8vxk3/SSfkS83zcN3FKItBMTN2NzbjqcnLgw+WzhH/tUepLkQbfsdeAlagMnls9omxl8vQ6VxXbrRMBTOWb0xtS4Xqqq4fcD1V+hEV4mftymJNdJ1RrRt3Li4d3L9Fzh2l42NSmVnc9bv1jfk46MY3M8yW6WtkbnM7dkVouttmz7A0nJ8+/alvnVSIa8n32i08xIqAQDjNQ9xH+ZBFdo6zB9/zHuiFfa2vf3kOvn2/M8uxELSlDrOV87xicX0kqXnsAjCKmQcDGAJgNBGNsPf9ipmH2H8z3CcSUWcANwI4HMBwADcSUadcV1i8oP/6eBlufcMa4cidgLDBus1WUSKVGpoYz03VFxxW/Sy27WryfPnl41QI2/J7n9Vj3qq0uSmbaCudUynVOWTui+I41B2tqbKuhl2X3Ddvkpd/LEIUxUPvLU6ltfetg6s+XtV777N6fO5a//yVGZZWsHmn/rwP9/MRfToRgn0ems0qtea8tM1ttpJ9IK0rnPOddYoJ28LDapyq9Cx+Pg9BkciO5IQHW4iWW27/6T6NkwBMYOb1zLwBwAQAo3NQTQfimW7b3YRl62ynmvRkd3vM84hiomhsbs6I6tGt3xVPT8eRt/uZlLyvIfcDcmr5Jg87tg46qU3kFOkZ9VP6PERwgD9B77dKKxxx69uO75t3NmDOyswX310XFXFqHgDw3Yc/Dl2H9DHO7/9W5D6qsG3v7o45dQ2NtDPCxEmKMt1od8AKzaOhye3zSH8vL3VpPREDI3znGGlcUj5GNZBQ+zyKU/VI1OdBRKVENAPAWljCYLK96w9ENIuI/kxErRSn9gQgt/wV9jb39ccQUR0R1dXX+9t7oyI/Vk+HeUTNQ9f2PHfVJtz8n3mO19odiSKjE7boJqVeazbkILOV+2VWjiybmvHER0t9X9LP7JG4u1bacfYe96mhqTklMC9+bApOu+8Dzw4oilIWNetAk0d9fbVJ+79OR93KXlJ37KzVyjkqqku4O0XnDGmnz0PneirSE/nS29wCTh6kubUhrWekUZl3FqxJrcES1lzpFnaNTc0pc6lD83A1jeIQHQkLD2ZuYuYhAHoBGE5EgwBcB+AAAIcB6Azgmiyu/zAz1zJzbXV1dSx1diMa6cSFa/Hz5ywLW+YkwSjCoxnbdusJj/Me+gSPfbgEW2JIMeE1MSls7LksoFJrv0u3wWtw9c6CtamypixZjxtfm+vbif11YmYE0bfv/zCVEDLoznt1APte/wbOslfh+9T2w3g9Rx3H6WszV6H292kHt59w92NHQ5P6fmjIoox7rjhGrMd++/gFOPbOd7Xq5G4SQiBnRltl/mbtaCvKPN7t85A75wx/i0Yxqmg093k/fLwOf3h9fkZdghg/5ysscpkID715AsbZM8vleR4ZZqsspEeSy93mJdqKmTcCmAhgNDOvtk1auwD8A5ZPw81KAL2l773sbbmuZ8Y28WAv+cfU1LY4suo2NjG2ayy8A4S31fo6zD2kR0p4aLYQp6AI7jTk0es/P16qV4gHn0pO9+ZmxrUvzvKMDPPz5cz80rqOGBV6mXJ0OpEbXp3jyE4bNetAYzMrO3VHx+wVeaZxfSE8VKzauAPPKiKT3Npq+n6QhtnK+X3p19vU81Hs//I+9+x1WYssLQHemJ2Z8kMXnQ47zGutWldGzsAsa/Q6ATarN+3ABxoZsxNMDJFotFU1EXW0P7cGcAKABUTUw95GAM4EoIrzfBPAiUTUyXaUn2hvyylKlV1xXNKah479X+Qwso73Ps7rpQmbrE0uon7LLuzY3eS4dkZEifR5vYavR3cGezMznp36Jb5cr16kSScQQIwK3WaHVF387qdHTx5V8xC4ByRxzTAvL/XuAi56dLIjNF3gtX5NpsNcWavUpy/Xb8cxd76LP725MOOoVECF9Lvdnax8T0uIMM4lPGquHYc/jJsHZsb05RuyHpVvkO6FO8DAfeWenVr7XsvxbrieraoNnfaXD/C9RydnbHeTZFqhJDWPHgAmEtEsAFNh+TzGAniKiGYDmA2gC4DfAwAR1RLRIwDAzOsB3GKfNxXAzfa2nKJ6DConWKa9NfwD3NXYhNWaUT/i6n4vw2+luRZ+Ha+XcEilnAioy+h73sd3H3I6dddt243z/v6JUxtx1cFRboT75RXVFPTy6IzyygOcyDrP1127bF9q91oN7PnFe1ChumcVPsLDK4DDra2mJglCve6841hp21o7ZPaTxesy62r/l5/XZpeZVvYjPfT+YtQtleZU2Kf9fdISjJu9Gmfd/xFenJ6dseKke9KTKq985lOfI4EOrct998v3xt02nK+GtW+dQoirSHIV08TW82DmWQAOVWwf5XF8HYDLpO+PAXgsZxXURDzXEkq/CF6TBMNwy9j5jrh1P0T7iGOQ4SUc0qso+ouPBbYD2y3IZn65EcvWp231fgElUXybXrUKuicbNbSclPCIonl4VKwxy1TLL7pndUeItlLhZ7byusfbdjU6fk+j5B+TrXNBPo/03BxF2fY+uWP9n39Ndxzjfs++kjIFy0JHREr6rVevc6/kuUFf1Dv9UOJe6YY8b9nViKZmRmkJ+YbqPv7RUlwysp9UT/91XJIUHmaGuQ9+kSbyyFnYL1UNHgAW128LTNkRNBvYUS/7ddMdzfpPElQ3xNB+FcW2O8anzRHuRi2XqyM0desTx8sTh8/DfUS2ZquM62tcbqFGjiRf4eHRRz01ebljvXI5rDtI83CEsvocqFrH3o3f3Jmwml7YduMVaHLfO4vw5frtgc/n6hdm4YZXLeuA28wt33fhhxMEtaOkFqIDjPDwRRnjbj/YEsUkH9Ehqkwj9yqW5AQytZYwhGnwXkuLevo8JFOEDkFVyTaUXddeHYfNV2geXi+qX1W89sVti/YPv9bf7me28hvhvjojnXJEFh5OU2Um8n346AvLXNXEnPl8UwMx+1qKG7uzwVt4qLR/vycQ9vkQkWcCw+WaiRafmbIc17wwC2s3O99N+b67MyF4+eEEt/xnnlbZcWCEhw+qjkD09apoCbFPJf29bO1RZIe4lFeDX77O2XiZkVrvAIAjakNuqPLVUpf2nTSVPiNojoqf5hEnKoEatmNYudFytkfRPOSlgWWizDD3w1GFLG5lqwhmq9R+V3snOE0wKlOdvF84yues3IwfPj7VcZwcbXX5U9NwxK3+Kwi6Ub2DfkI/aAVC1W854c/BiSX9aGbgubovcfNYZ4cvBxC8s2Ct4z0TQvHT5RtQc+04fOEyxT0/zWnezCVGeCiwJvOow2aFOu3ITZMaeWVGiLiP8bqeF/VbdmXE+YsreXViR/9pout4xhYpL5UcteE1ovfqBGXkUdEZf/vQ58jMlzJsf5dxPlnhi+4OXiSjlAkarcnIo0kvn4fvkr9emkcOzVZTlkSPHfEzWwUJeLFfnufhEB6qQZTHzZvoSj8vz/N4ffZXDn+GDnJotJz37NwH1TP2gwIprnlxtrN+rv06GYWjsKuxGW/OXZP6LgYhQvN7//PcTIbWwQgPBWfe/yH2/814X0ee3Fh0NI/GZsYX9VutmeGyXTigmY249e3MOH/7lDB2dLeQGD/nK/S7bhzu80jbLQ73M13oZv8FMie1Zfty7WxowhG3voNrX5oVeGwYO7AcmhpN88i+DjqMuPVtPPCufrZmQG0q9AvVDVIO0+3dTk9C5BCsKtORrhaYMgFHvG9e503xWGArqBx3wELQ6CfOyXprNu9M+eHWbt6FmmvHZaTFF2RjBg+LER4K5qy0ndvKSYKZmocYoJb4aR7M+NETdXjswyUOTSKojakatRA4uhE8zJmd2m1v+C9gk15X2fuYMBPfmpmxfXcjdtqL94R+t1zHC8HlzgaswksIqJBvt/c8Dx/h4bEvF1Ew9ytm2wNqAeYVaRQl2iq939Y8JP+Y/PvnKYJEvDpvwb8+WYZT/zJJOcM8DGEjHkNPKnR9XyAlsCTEp3kA1jso+puJC6327pXh2giPAkY0atnnIV4YsU1l7mhs4vSKa9K52XQquqPZZYrojyA1XWeeRxgzPgM48IY38U3bpBZ+OVLXd3uDTu4tXQemm4amZo/Z8uGvlasoGN37uGF7g/JZ+iWADArTTvm7eRdxAAAgAElEQVQ8xNIEFHxv5Ag8Fb95ZQ7mrtqcEkxRNQ+H2Ur8cp9LhRU27nszyT37O8bHTUQpzUM1oVJGNxddHCQ2z6MYUZqt7P9ytJV4f8vLSoBdSI2uZayIEuc1vMoIrJd9km6H9L+KCU2qjj8oxYibMOuWCCG5xo4sCa14uMpKp08Jflncqyf6luPK0aW6xTpmq4zkgbkQHqSvwW3wmGQ22cdfEtQPif0NKZ9H5pyFqHiFvesivxt+80kE2Woe2V7Pj1IibY2izGgehYF6nof136F5uJqlyhfQ3MzKFfOitDFxSnZrbvifK3b7OU3DdIju8sK+XO6i0uHRPufYJ338RXBOIMEFf3cGE6jqGclhngvhoTBHerE+wnrlQQ7ztNkqnZI9bvNc1Ou5w1+DyHIOZwYvfxpf6r0ScqZw9z3WCI/CRRVtlZ7xbX1QCQ+n5hH+AZ9y7yTJX5D9Cxr0Uvr5PJqaGTt2N4UzxbgODfsT3J2vqJ+fmi40o92N0e6XpXkofE6+lVfvy4XZasuuRvx3buayqao7stVnFUgvdDWPlMknhCYUXLaYJBjt/HvfVs+r8iLs6p++637AX6MLS4mP5uHuS4zmUSCoIqHEs3Em/bOOE+1vhyLBYXOzJDwiPN95qzfjMzuMNI73M2ik5fcuXfPiLAy8YXyo0bSX5qCL2zkvTCV+Iy1Rv6jC9o05q/Hkx8sytvvVfenX27FRMcrPVdoIv2VTZSbMWxN6lrtuqG7KbIX4zFaCODS27fYcJL92kNKiNevvNwCMW8ssKSFPoZCRMy5B4WF8Hj74pSdxaB4AHv9wCTbZidu27GzEfa6RT5R1zd2I5GhxvJ9eM84FcpptNy/YE5HCdBTysfe+9Tk0tfAUboemznoj4pioHdqrM1Y5ZlIL/AIFLvtnHbpWtYo9MWIYVCV9rEg+GERwtJVFOlQ3u3xrt74xP+PacWjZYt0Ov0uFn2Huc62YBShBf1KtcZjnkaAcVAL5YS6u34bfSWkB3l6wFm+7QkibmuVkg9Hqtn5reLt1VFLRVn6humHmmUif//zWZ6Hrk7Eqm1jp0E/zYCE8Qhfni7jcPz5coty/dssudG5b4diWK80jpyJJU3oIAVtC2f3Oh95bnLEtKZkrd/ibQi4HnXGtmCeElpToh+C2riiNtWw/jPBwIVb6AvyzfYbt/y2HubhGNOkRdUGhKKQEnc8xocxWWfYCbp9BkzTaDSoz7o772SnL0a9LG9wUIo9Q1DXMg8iRTAIQ3Mbdo2ECxTY5TlwlqSyxclvWmXjq9w57ZSaIyqqNO7UHnCce1C3Wsv0wPg8XQVlBU7bOkP2/KlT30+UbPI9Xkev36Py/f5Iuy/4f1yTBbOvu7nzFd1+HecrnkV3ZbuqWbcB3HlCnuRBscPk94jZlCHQXyYpCYLQVZX6Pa3wjhNDdE8JrqZ7X9Nk3Q1qNUrUAlhu/O+OV2igqf3pzoU+yy0wBnhRGeLgIGiBnp3nYnZm97dv3fxRr3eJgy84GPDJpcTpTqs8vDRNBlG0n504s2JiAzyMb3EXmZJ4HpGwIOSA4VNf1PcZ5HuI6WyJEiXnhV7XX7VUIda0CqnXlBbt8sv1Gxate7vcql4MJN8Zs5SIo71Q6/XQ48SFrHlFV+yQ6wVvGzsO/61bgrEN7AvDXPMIkHMy278yYIa8xSTDt80heeLhJcp2F+MJl/fdnmK2ydJjLfLgovIM/CL+OVawv3q5VmVa73qGYCCxQTRLOFj9h5SDBpp6I5kFElUQ0hYhmEtFcIrrJ3v4UES0kojlE9BgRKdduJKImIpph/72Wy7rKHc3L0rKV+3erAgC0bWU5pLz6rLYeDqvGpnTT9VpfO0zdcoVYynOnrXoTvNOth/F5xJkoDkibzPz8iGnNAxjRvzO+uV91rHUIQ5ICLO577YV7AEUJlh0FnarFkRvKvQZHkiR595MyW+0CMIqZBwMYAmA0EY0A8BSAAwAcDKA1pGVnXexg5iH23+m5rKjcwMQaywDQd682qCgtkXI+qRuZV+OTOw/ZtxCGXJk+ZBbbIxz59x1045vKY8M4geOuuk6orrB0MTNKiCJHucVBkqG6cRT1w8enYmvAGi0qn0eufDtxoOOji0PIJyk83P1QksI7EbMVW79IpPUst/+YmV8XxxDRFAC9kqiPH14vnuh8Hnj3C+zbtZ1nR+SVRmDLzsbAlzFq3XKJn3kujNkq7kbdIK0h4YUcqpurxad0SVZ4ZF+WTrZi9x1lzk8b1UVnsBNHM43bYe5Hhs+jpZmtAICISoloBoC1ACYw82RpXzmAiwCM9zi9kojqiOgTIjrTp4wx9nF19fXRFknxevGI0h3VVf+eqTwG8O6kshUcfnXLCRp9bSizVRZVUSEmZOqEEjczW88v5jqEIUnhkVRZ7rb+1OTl+HpLuJxSueCHI/spt7tX3VPRzNm7nHPhMNelJZqtwMxNzDwElnYxnIgGSbvvB/A+M0/yOL0vM9cCuADAPUQ0wKOMh5m5lplrq6vjtW8TOV8WrxF5LnPL5MMi4B+qq1+hWSv0M9t6EbZTlH0eedc8Enx2SZmOVLfUvaRqPrjy+H2V26cuDQ6Nj2OA9sgH6smjSdAiNQ8BM28EMBHAaAAgohsBVAO4yueclfb/xQDeBXBorurn10E5hIfHMblcjKWZrYSESRLXPA95DfWohDGTAc7cViUElJbkLzI9CX9V0mXlVxx747cuexCFbHZT4RYWSYbqJhVtVU1EHe3PrQGcAGABEV0G4CQA5zO7FypNnduJiFrZn7sAGAkgZ8Mbr5HH67O/cnSkXp1qLoXHG3O+wsAbvCx7ucHtkJOF658CFvaJG9XMXb9XpZnTZqsSIlSU5a+7SzI7wNqETEdRMyXkmmyERyFHi6nIEB4tUPPoAWAiEc0CMBWWz2MsgAcBdAPwsR2GewMAEFEtET1inzsQQB0RzYSlsdzGzDkTHrr33sv5lkuz1YwvNwYfFDPu/mHAr1MxDli1aWeidVEtJyvMYcNrOmfsS5mtmsVqbPnUPJIr67qXZidSjkp2HLVvl0TK9iMboVZ0moerx9qwfTeembIcKzZEWz0zDIm8Tcw8i5kPZeZDmHkQM99sby9j5gFSGK7YXsfMl9mfP2Lmg5l5sP3/0RzX1Wdn+uPCNVuUhyS5hnAuKaRfcUT/vQD4m61UnVYTM+556zPMW70ZJQSUKyLhLji8T3wV9aGQQ1ijouqj5UHViP6ZAr3QKYQJpWFwD0pWbNiB616ajfmr1f1TnJj0JC40ZYcnusJj0drgyI9CIFtH889G7ZN1HSpsM0SDz6JOqpnmTc2Me96yUuOXEKG8NPOYrlWtsq6fDknOME8K1Vwn2axZjAOp5mb2Xde90HAPStLZpnNfdugiiKgtESWX9zdhfNen1hiV6L4wx9/9nnad8km2r3+nNhXBBwUghIdftlKVkJM7spISteaR1MprSTrMk0J162TfjuqZtEkwZXgUZq7YpFwJNB98Z2jwtDd3gE9TKvNC7tt1oPAgohIiuoCIxhHRWgALAKwmonlE9Cciyn5oWUD4rk+tcX4xjrZUxOUMLVOM9sOSEh4+M3dVt13usIlIWRfdtaGzRbzk/7r0cBy7f/7SpMRJkMBWCeY456A8ddnhsV2rEBnYoyrwGPdgN5VtOoF+SOfNmQhgAIDrAHRn5t7M3BXAkQA+AXA7EX0vh3VMFH/NI/j8fM8niIvUfcjy58QhhFrZHbyfz0PZkUkPrIQIFXnUPObZi4wd3KsDOrRWpnArPpSah7/ZKk6fQou5jx6oNGU3GUsVCLNVAv2QTnqS45k5Y2ktZl4P4EUAL3olNCxGvNq27ipp2YQJFhJi1J5tE6xqlX0GnHJJePTu3FqZWFL1rjjMVh4Oc50XNE5aiGIKQC2w5c5MuT8LzaNdqzLs3bESn60pDn9htui0zXmulU+bmgtI81AJjijHFAtefg0i0jJbjTm6f7wVyhNCUGajObxyxUhUx+CQLrfnZ2zb3YSdHqkfVPV0Cg/CMba5aFDP9qntcZjVwlBaQgU7PyIsql8h+zxU9zYbxUOViLHQiFOTjdI2xf0vCOFBRLcQ0fNE9DgRHZzzGuUZr4FRKVGg0+PEA7uhrTTSHta3U4w1SxZhIcqmCbavLIvlBRcjsIsfm4J6jwlwqndFNnMRAbU1nbHk1lNQ2zcdQpqU2UrQUsyaQLC2d/VJB8Ra3padjQV//+Ksnyo6MAixfrrfOjdxoaOzt2bmcwCMAXB5juuTd7xMUyUlwVP/S0vIU+LfdlZxyd205hH9GkQUy7KYOuq7qhQ5NbZ4qd2jfvfEwWNy7MzOd4LGOFE9W9ksVdOlLfbt2i7R8vNOjFWKkk4nSZ+HTu0qiWgoM+9Gy2n3nrT3cMJZKdn9f76f8OjXpW3WdUsSnWVogyDEY+PXeQ9Uz2a3Q3ikt2/fnc5w7DYN5LqBl7Yg6aGaKOuOpho9qHusZYY1+R2d8AJgcT7aKO9OQfk8APwKwCgiegzAqzmuT975uUdGzhIidA6Ys1BaQp4SP6mQ0LiIKyomDvVZxxSgOkSleQCW70Tg1jxyPRujJCZtrFBpcEX//N/x++WsLB05knQAS5xmqyjXEqbaJMx7gaEwzLwDwJ05r0mB4HXTiYAuVRX4anM6n1O7VmVoXVGassOXkrfmEcV+GZb+1W2xuF5zreMA0mu1R79GXINsnWsEaR7y/iapg0vaYR71fhLlJyV/WJpc+TLitr3Ll9O5lxWJC4/8Xku8t0m06+IaDieAp/AA0LmtM3LouIFd0V8yRxGR5/lJJOWLc43uOCZzEeKJLNIyWym27fIwW8laVRJCXSbq/SgWXUXY3Pvu1cbzmGwHJGEoZs0jSlsR978gZpjvaXhJe0ZmQ3Q/IGvNCPUFkkgHHqc5RE5nHhVrAa3s66Lzu1TvyhMfLU19lp+VLBfzscaHqMpvTh2Ibu2tAcnIfazkj/2r1b6xYgnvbWpmnHZID7z3q2M9j8nGmSu3BZ12UVmeTDqUxy85DB9eOyrW8OEoAqCgfB6k0Wp1jikWvH4KMzJmKLsPLSHyTEiWhOYRZ3sRq65lOyErjqah87tUHYlsYpSvIc/lKc/jrL1W5aVoW+G0HP/gGzXKY4vlBWts5sCOKy5TlpbZKiFfY/vW5ejZsXWsQr57+8rQ5xRatNVEIvoZETlyVxNRBRGNIqInAFycm+olj6fmwZxh4sjQPEq8RwtJ2CALTYTHpnlEdJh7XUPWpdyBDEn4Fcj1P6lyk6CpmQM7rmw6trDtqVV5MsJDzBeKayxy1zmD0bld9KSiSSjUOkWMBtAE4BkiWmUnRFwM4HMA5wO4h5kfz2EdE8VT80BmR1PqmnVOPg7zVmVq9fmcYcGZM+Okc9vss9zq4ucDCned4GOCXtqdDekIK9kUp6Pef7e2d+qzatGpsIjfQwRtlUK+j8cP7IaeHVtnXY84ufmMgwBYwkMnpD0yGktBy3RsnUx7F8/nkYtrY7lem4rSrARRQZitmHknM9/PzCMB9AVwHIChzNyXmX/EzJ/qFERElUQ0hYhmEtFcIrrJ3t6PiCYT0SIieo6IlE+biK6zj1lIRCeF+I2h8NY8MieruaV7CalDch/83lDPEVBNjPM/tEJaYystmGzKmnnjiRh1QFcAur/L/5gXpq1IfZZH+ToOc9nMEod2F8U3Jbc1osx6nHZID9x73pAsaxadNpL5LchSFLZfk9O4h71zeyU0WBJtdFjfeBbAYmTnwywI4SHDzA3MvJqZo6yHugvAKGYeDGAIgNFENALA7QD+zMz7ANgA4FL3iUR0IIDzABwESxO6P1drinh1VAxGhXtCWYbDnNBOeonuOmcwzhraE8cN7Oapqsf6kHV8AwlKD8tsFa3ADq3L0dp2drqvIFYWdBbmfz155rPDbFXi78cCnJ1hnPcvTOcg11Nl4vrGgC5oX5m//KRyMw565mHbvBhEuNF5Fm5Nu1en3Ghsckjw3ecOjuWa2bS1QvF5xAJbCO9ruf3HAEYBeMHe/gSAMxWnnwHgWWbexcxLACwCMDwX9fS6582cqVW434ESIrRtlZZpNV3a4u5zh6C8tMQz6iNe2aFzseSkhxWqG/18kQ5Gx8EaphjZYa7ji5JfxDjNcPKlzjy0JwDgyH3Ua4BnzIRXVMOrar88MXcT9VRlu5/XwB7tHd91I9zuPncwHnWZgZy/MfhZuP0G2fiWLj2yn+e+faQ0LGdpLOKkQzYtreA0j2wholIimgFgLYAJAL4AsJGZRb6IFQB6Kk7tCeBL6bvXcVnjqXkwZ5qtXMkSycNsBVgP86bTD9IuLwp6aTxiKy6Fn/09KZ9HmCgX2eehkxgxbrOVQO7IhvbphKW3nYr+1epcUO56uu8rgz3vdacETDclDgHr3Pf0ZYfjaWnhJt0AqLOG9sJxA7s5NMWw7al9ZfZLAgi8OuRTD+kRWxlD+3QEYLeNLNpaoSRGBAAQ0e062/xg5iZmHgKgFyzNIda0m0Q0hojqiKiuvr4+0jW8hQdwSK8OvscGNex9u2V2DFE7V5XjNl96h9dP0Im2Upqg3NdBZkfpxl3ONwZ4X1futDPSkzBw/nBHYKFD84hjLo36fgUn3ZTPV13Cr+0midtk0qltBWql9hrapCIP0KTNeulJnBq/zlLSXiRh8u0mheeGbWvyO1BoZqsTFNtOjlKo7TOZCOAIAB2JSAwPegFYqThlJYDe0nflccz8MDPXMnNtdXW02dZet5wBnHJwD3Rqk7YrZ87zCLp25gFB58hrT8h072A1siuOHeBZH2UdctCmPIWHRnnPjBmBSVcfix8dlWkSEPcryu9yC4ATD+yW+ixrHqpr3+rKgOzuuOOCwdrdg848Ia9D4pYd/RVBHrLgUmmBDp9IXPM8NI5xT+zN5l54dci5Wp9edZsmXX2s5/FyGykIsxUR/YSIZgM4gIhmSX9LAMzWLYiIqomoo/25NSxhNB+WEDnbPuxiqJMvvgbgPCJqRUT9AOwLYIpu2WHw9nlYDUS2bbqFgXiBRh3QVWkfVV273Cd9wrcP7YnLj1EvES8cdCUhR8W/PmVg4DFh8dSeSM+c1LtzG9+ZwHoalfMod6dx3wWHpj4L2fHMj0bohQGX+HeM4SFHPXSQfR7MmfVg9nkOMageB3S31tPu1ak1enXOTD0il63quChgvx+yphn29rtNzc3MjomDYariVe8VGzJXtvTitZ+O9N0vfh9DHfLcW3HvBfLgoVDSkzwN4FuwOvVvSX/DmPnCEGX1gDXhcBaAqQAmMPNYANcAuIqIFgHYC8CjAEBEpxPRzQDAzHMB/BvAPADjAVzBzE2KMrLGb4Z55rHqcx/7wWH47WkHZh6vuG5lWSn2U5izAGBgjypPm7wqxNSdSkQOcQSAP377YJx0kDpF9owbVIqlHl7NlKA/z0N131MOc0VHmXm+87vbwSybL8TppCncnA7zzP3u+xxEuoMATjtkbwDAXm39V1x0twNVrb3CjnUHxofVqBcvW3rbqfid7a8jUpt+HA5zRTWyManIxYnn9dBFw7SenXtwxgy8+6tjUt/n3zJaux5ebdnLOqBiv25Vvvud6VfCUZqFgI6CzjyPTcy8FMBLANYz8zIAFwF4hIgO9T3ZeZ1ZzHwoMx/CzIOYWQiGxcw8nJn3YeZzmHmXvf01Zr5BOv8PzDyAmfdn5jdC/s7Y8LO/B5qtFI2vsrwUFx1R41mWVyMQ15L3updoffJSZ0CaNZpR161jmwrfaJIoeNnmlccGXCcsfkJLdH5WenQ1j3w/HeXj0DxClqUidTQzrjxuX8z+3YmBTm15BK2aXMgAKkrVQkzXzu+nuaYW01Ic8/szBwWapbLRPJx1tNANS3YLVAawtxTgEebZqY6ddPWxuPFbmYEwXoT57WHbvbh2mc+6QnESxufxW2beQkRHAjgelobwYG6qVcBIz8T9TgY1RNXuVmUlnkKHyLuxqUZvOxrcypjiJfbpIC44vI/nvigQ9F9Ov8MyI4uCj/F7ecRI3BUs5+AIyeFeFmC2CvuaCkGwu4lRUkKo0ugI3b/nO4pwUFX68YrSEpzgoW1m4PND5PBiud1XV7XC90b0dZwc9zwPlezT9ReVKwIiZMIID1WUWJDJNeMamuUxO9/V6qpWOPVg/6gucV9bh9SEoxJGeIie6VQADzPzOADJ5brIMyqTgDvqJ9hhnkllealvA/bWPNwfgF0u4eG+rGUr965fVDupl1mESH+eh1/ZGbs0zFbiJe27Vxu8dPk3HPuaU5pH5qhcCAr5enKnLB7HzWcclIroCpu3TGQb2NWob3l1h4BffsyAjGNUwuOzP5ysncrE71eI301wmkdZupeCjh6rcabKycIenzo1oC0LMrUg5/MOU5NYFjYL00lIn6defzz+duFQ31PF/Bl3ss1cEUZ4rCSihwB8F8DrRNQq5PlFx0+kF/Q/Pzsy8Pigl0KpeZR7ax6At/BImxHSZGoeThgBnbTv2d7s9CiXoK96+90DnUu4Naq92lk+hCP36YKhfZy2fE5pHpQxEhWCQL5PTgertb1Lu1ap3xY2rbvwv8iLVQUhaz8qhzmYc7Lwkbhmykzqumdi4CDfr1oP38lBe1u+gbBrqDhNw2Rvi4Z7oBNGjsUV/nrf+cHWfutdDXdd0UzD+uCiEqa1nQvgTQAn2aG2nWEtUdti+cUJ6Zm5B3S3Gr78PLNRgQWVZaWeQscvQ6mqrO27XZqH4jz/0WW0l8NLaFnzPHTNVj72dp0Z5q5D9u9ehacvO1wZuCBGy6qrinBHL81DpLvYuL0hteSqzkRDGREJtstDeDx00TCHWaqqVZmWPyrb9OOqZ3V4P2t+hqzodqlKO/dT91I6tXsHtaZzSC9rAlxVyIl7Tod5eluUOTduTVNudx1al+OP3z7YfUqKMOa2t676pue+bw3eW+saYTU00VckZbbSforMvB2W01x8Xw1gdS4qlW9OOLAbTjukh9q+7Wv2CV+WqoPt3LYC67ft9l0bIWVGIOCY/avx7sL61MJCAvfo7Nj9q33rH3Vg5aV5WPXM3ueRaXhQRPsozvuGR6qPdLSVpuYhCY8utkZTv2VX5IV3UsKjQS08TjqoO046qDt+d/qB2Li9AZ3aVqBdqzI8cOFQ/OSp6Z73KlvNw33dJ344HMP6WlqErOn+4duDwMwYO2u1UvPwSkYoZFu7VtmbVVRtQObsYb0cyTDT51lMvf74jHbbd682uODwPvj1y9ozEDyRQ/qjEtSqKspKHNrrqk3W+jVJhOkCGsKDiD5g5iOJaAuc/RHBSlmlH6dWJPzdjrQJWoq1qZkdnU8Um2hDU7ND6NT27YTD+3fG3yZ+gWYf4XHe8N4YN3s1zh7WC//zzQFYv203OrQux6gDuuJ//jUdQKZm1KuTd4x41Ppbv0F9n8LktvL3eYTXPPzgVIeXGd4s7rd8OXnOiMjT1LFNORqbrBc3vM/DGhnuDPB5VFWWO5zpQfch7iVX5WWNU8KDCO0ry3HB4X0wdtbq9EheqpqXA1lodToBAjLOTsc2Wyl8HtedfACOG2hNBr3znMG485zMBIWiutVVmaHRQUFp8v47zxmMvTuEX6wpiJRLh70jIwWVLuEhWLtlp+Lo+AkUHsx8pP3fP0C5BaI2+6S3NrlaW1iJf8nIGhzSqyOWrduevj6lR6RlpSWewqN35zb4+LrjUt9F+OHoQXJERrp+7/7ymMD6xB7dR/qdut9hqmu0Li91mMui5LYqocx5KOlFfdLb5TDZUw7ujn/+cDhG7tMFz0210q2F1TwqAzSPINTRR9mbrXS0UvFThYmEFZqHF+KYsJqH0mylOO7UQ3oEDpD8wpaDllyW3/ezE1iHJ8gs17qiFJt3NmZsd0+MzBVhcls9SUQ/IqJY81EVMqr3Qd7mTksQtvO98VsHobQkc3S+ZssuAED3Dq08X0od551o60P7dNRaNyTONdABMc9D75p+nY9q34fXjnKkaghTc/mx9e7cGgf3TOcsK1X5PBxzLAhH71eN0hJCY7PV+Yd1pFaUhY+20kHWHLu1b4UR/cOtLdHZZ6JiKlTXvtOiLHErddq+6JyzSVZIKaGlmqio8U747FMZGqokQRdkiYibQM3DU8NLxmwVRkQ9BmuW+H1EtJiIXiSiK3NUr6KgqdlpeY1qa3SPXLvbvot9qqs8TSI6Zcm2fR2C2tyzY0Yotz/9o8OV20njmqljw/g82PILyakawmgejkmCRPjxN/un9qVDddU+D5lG21y3X/dwSrkwfY308Ml4Ic+1CGLyr4/Hs2OOCHX9AdVtM8KaU2W78oyJ9tecCj4IrpQQlm1C+zwyO21G5n3QaQF+yoVoF2JVRAC457whuM3OdZaEL8GaMwMM79c58Dl7mSmTyKgLhHOYTySi9wEcBuBYAP8Da3Gme3NUt7wT5DB3j0SCHrZXw610Zf78xYn7Y9QB3XBwrw74fM0W5Tk6DURhjvYlqk39GwPUnWCYZWiV6Uk8TCKq2xjmdUldt0Scmz5bZYLqu5faFNJgax5XnbAfBvfqgD++vkCr/P26VeHT356Ajm3iW7xJ/KY/f3cwDuzRwf9gH9xhzanrQ0RVCbOes1yd/kq8L61DTKqTywCk56wIV9Zpan4mMyEI5TVVSksI59b2RnlpCY4b2BW3j9d7xmHp3bk1bj/rEIzovxeW3nYqgOBQbi+BnZTmoS08iOhtAG0BfAxgEoDDmHltripWDGTr8xC4Q+sqy0tTM5yzSTMgj7B1CCoqbDQPIaZ5HhrXCOUwh3O0LJ8rv3jPjRmBDm3K0XcvtclPaB6V5aWeAtSLXK2x8e1Do9vi/Ufl1n9xd9yah470Fqs5ZhMVlhJayog7dSX6dWmLJV9vww2nHei5KiEgZx5IX6espAQlJYTv5NjHcdS+1RnRgUFt2mt/2HlHUQmjP0nzQcAAABzRSURBVM4CMAzAIACbAGwkoo+ZWT+lZAujMUufh8AvLjuK8Ljj7EPwn5mrsL9tTpHNMn4ECZmw0TxEYUxm3sdlZpDN7DjCqOrpSYKZ++SZ3IcHrDUioszKExrpZZMc99GLa3HpE3VZl52eGBneYS58hGFHxo5oK8lR776KVxVeuXwkVm/ekZqr5VmO4gYnkSMKCD8ny4+E/OWhzFb/BwBEVAXgBwD+AaA7AP90oC0MeXTT3MxWptp73gcQ3IHJTfP4gekRkJ8aH0WbObe2N86ttZY/ESqwiotG9MWTnyzTLitsFIeVVVfd40385TGunFHpfacc7MzFpPP+hnFay+lJAOBQe/U2INzs5/27t8PXi3ahsqI08QWX3AQlP9TRjPxuYdps5Ty2OYR2KyK644gGUmZW9ji2Q5tydNAwEaqUqLBh2FFRB+f4l+21P+7AFy/CRFv9lIieA/AprDXFH0PExaCKGbfPY//uVSnbte4o+9A+HVNzSQCn8HA/+Fw13uE1nR2OQbtwX/xe+tMUS3H6aR79urR1OLzF5LtLj+yHe77rTN+gc1vDCNnBqZnO1nPr0aE1plx/HAb36pByWOpw/4XD8OyYEWhfWe47aa0qhklxgP99CHLa69wePbOVdaFSV7SVzvVTmkfY9CTy4l1im6rMiK/KxUdYz1wIwu7S/I3kNA+FfzXwnPyiM0mwzF5jvBLA3QCmSWuO79EIB2AYpyFgjZLlTtUvF00ulpOccv1xaF9ZntGxB9XfT3j89YKhmLvqXSz5eluoawpOHtQd9184FCce2C0jCWBmGvxMwph5/3jWwbhkZD/Hkp9dqyrx6k+D85fJdGhdjhG2acuv462uaoUtu3L3yky6+ljfRYKAcD4hFW4h4fZ56Dxnv9Dmm884CDe8Ote3bKt8YbbijHYRdcT93cP64ImPl6XKqSwvxaCe7TFn5eYME9uvTtofy9Zty7yIBmKAJEMEeyGvzOOj+jySQueVmwIAzHwnM082giONcJjrOqa9OpjOfs7THDSQrlWVyhjxoPqHzUmkc00BEeGUg3tkCA5rX3zlAFbncHCvcBFJbbPIF/SPSw6LfK6MV/sJEhxAuPszpHfHjG3pHFbWdTrYmXPlJJNB2BPyleZd3TkUfpMEo3amQruQJwk2pvKWOdvjFcfugzvOzpy5roNqqeWz7AAHdWRnkNkq3Pa40ekN8q0dFSzuBh91TkNZaQmeHTMC5z38ScaxSeWpCSprYI/2odYtANKjqmzR6Zjkur/4E/VchWz44JpR2Lbbe9zk9zO9orWSJEwrenbMiIzZ76lIJPu70NqOs6OXdK7f5KN5+MkO5Yx6RXqSbB3MzdJPbopoYvMjaNJx6OvluWvWER7VRHSV105mvjvoAkTUG8A/AXSD9Z49zMz32j6U/e3DOgLYyMxDFOcvBbAF1poijcxc6z4mH4iRStjJeL64LpGk8PArKlLSxxC5rfxwl63qTGSFRSTzi5NObStyFl4blY5tytFfI3MAEK5tVpaXKgYKToc5ACy4ZXTKlBnGYV6qWhvHZ5ThzG2V3poZbRWtsanqLoRHHO/f0D4dMX35Rl+/Rthiula1yrvZSkd4lAJoh+w0kEYAv2Dm6Xa01jQimsDM3xUHENFdsEKAvTiWmb/Oog6xIDfQlKNbM1xRdzlQmYT8dQACom0iaBBE8aitOj6PWAR3FkR5tmFx/8QZN5yofW627UikWT9OmichCxgdx7JwmKs1D737l1rPI0S0VRDCNCVbEhojhhWrGNK7kyU8FJdyzxXTYcEto0EEnPvgx8r9Sb0JOsJjtVhvPCpy+nZ7Kdv5AHoCmAcAZL355wIYlU05SSAezPB+nXH7dw4BEC6/j3UN/cfb1o7U6dSmHBu2N2ifFwW38Ota1Qpr7TxbUSCoO3WvdCZu/OZjuMlFYEGhkY18yla49uzYGnW/OR6d26i1L505QMK317ZVpvmzyWcytSPaSvZ5uM1WEX+icGvIAixOs5VfJN5L01cCAMbNWq1cC71P5zb40dHOeVopoZ3nNp+4z4OIagAcCmCytPkoAGuY+XOP0xjAf4mIATzEzA97XHsMgDEA0KdPvOtxu/nJNwekVqsT6Kq4qsZU27cTzjusNy4/Zh/H9vLSEiy97VT8beIi/OnNhdErrIG7/tmq7FZ6Eue24f06h56NnVEL1STBfGseAfsvGtE3Y72VqOTrl6qihQQ6/rDff3sQDu/fWZkCRUfz+NsFQzF21ioAXppHtDvjDjsG0pFhbod5FESodlufkO2NO9QDw/el5J9u8j1c0hEexwUfogcRtQPwIoCfM/Nmadf5AJ7xOfVIZl5JRF0BTCCiBcz8vvsgW6g8DAC1tbU5sSOkRz7py6tWUwtLWWkJbrM1Gb9yc4m7o5e/R7mZXppHLsi34hHU991y5qD4yortSvGhs3pd+8pyXHi4eh6NjtmvqrLM8f5lCIuo0VZS+G/6Uta2ODJ9XH7sPmjbqgzn+KQ4iZKlQG7zr1wxEmf+7cMo1YuMznoe6+MoiIjKYQmOp5j5JWl7GYCzYKU+8arDSvv/WiJ6GcBwABnCIwnE85LbetpspRmWGqGVJxFZkZloLlyZmQ5MxUERej6dU5KazJVPci0gsxFKYZMdutGNtvJbDCq62UqE6qa3PXnpcLz06UpU+2hbulSWl+LH3xzge0yU9ivOuGb0AY7w6h9qLFkcB4lkQbF9Go8CmK+IzjoewAJmzlwz0jq3re1kBxG1BXAigDm5rK8fqg61KUbnmne5Obu0Vpk6I0P3EdlqHWFOz7fZStX1Du2TOV8iqxIKUeWwCRvG7UbHbEUE3Hj6gThnWC+ceFC3zP0Ryy5RaB77dqvCNaMPSExzdufJ00HU7bAapxnwjCE9Y6lTEAml0MJIABcBGEVEM+y/U+x958FlsiKivYnodftrNwAfENFMWBMWxzHz+ITqrUWD7e0Lyhaazbufj64x/x2yGuUM8wKs6lOXjcAn18Vm9U2Rq5+azXXDjpzH//wox3f3wmoysom4a1Ul/nTOYLQqK1WsbR8NUfWE13oCANxw2oEAgO27wy8MlrKCxFifMMSTdCcAZv4AHm2TmX+g2LYKwCn258UAok3pzCHyQEk0umxSTQeRj3483x2y12BUtT2pBXC8UK3L3bqiVMsXUCgk2Qkd0L09yksplZnYL2TVnVfLCz8B5Ie4rm64cJxcMrIGN4+dh+E14VZ9BCT/a56kRyLCoyXh13xblfl3FN3tWblhlwe1yk2+c8zW5xFbPTSOybeWtF+3KvzjksPwn5mrUuGXuaKArVf4xgD/NPYyVvuyfo1Ov5/p40hvaFNR6hvN5HtdMebLw40lIrx11dGOPGva5yLT3JYkRnhERPW4gjSPmi5t8f6vjkXPTq1Dl5d/n0fw8Uk1YVWocyHM8zh2/67Yvqsp58KjUFlwy+hQfj/5UL9Rv9cuuaR5N4/WLteNcPZfMrIm8jWyYZ+u4ZYxTiHPeckDRniEJK0qOicuMQMVGusU9PFY0jRf3PitA1NrarvJxWi+S5V+ig+x/KtOWpACkB0AgFMP6YErns7NtcUku5os29CUXx+H28YviF3Ihc595lobx4v0yo+5QcylKjbckZ9H7dsF67buTqx8IzxCk9mES4jQxJxjn0duXp1LRnqH9TnneWhEw/jsu/iIvjho7w4Y7VroyY9fnLg/Du/fOZX23I98+zySYHi/znjsB7U4cp/qrK7TtX0lOnnMFE8Sp+bhfdwR/bvgk8XrHetsAIUzYIjCaz8diV0Ba5QH4Z5z9uSlepkb4sIIj4jIbb2ErIyNYZdpDUNSfePkXx+H2Ss24bJ/1mlpHveel5HHMoOoo7qKshKMOiAzJFOZGLGYe5IQqO5HGLpHsK3nCrl9+ZmtfjZqH5w1tGdG6vl8Z5XNhkN6ZR/GTXm2WxnhERJVH1ViO/5yKTySek26ta/EooqtVpkaHbIcU55PR+4eoHhkzdifHYkeHQpHeMiN2s+nVlJCWmuW7GkM7t0RHy9ehy5V+VkJ3AiPGBAjqGI0W/mWKX0u5AlqwJ5htsqWQT3TC2AVwvPU1Tw82cMf+S9P3A/fGtwD+3WL6HDPkqQmCbYY9u3aDgDQpV3aZtzVTniXyxQZx+7fNfigmBC/Imxen6TeZeU8jz3EbBUXOj6sXCM/Mt2VBA1pykpLcNDe4VbEjLX8vJVcpFx1wn44at9qDOubnqvx1GWH473P6pUTxeKiz15tMPGXx+DYO9/NWRkpSPwrzA65WGaYG/yRBf7+3cOPns14Ib8Y4RGSstISHOGaCNWrUxvPbKFxktS7ksooGjKrbl59HkZ6FB3ikT34vWE46aBumLxkPSpKS/Dyp3ohxOaJ5xcjPIqIpEdafn6W//nmALwxZ3WCtfHHmK2KEeuZDerZHkSEv10wFAC0hYchvxjhYchA9MN+g/lrTz4A1558gPO8HNbp4+tG4cv1O3DuQx8r0zHsKaG6LQnRvqIGg+R76eEgPrjmWDQ2tVxfjhEeRUTSPgh5NJ+v/DmCHh1aY8M272V4C6kfeePKo7DZY2W4gibhZ0wp31rE82OrSW7o1allhxcb4WHIQLyUhdQhB1FIZiuvdC8GJ4X0zAzhMaG6RUQ+37VCV773hJUEc07CDUwIj6ip0I3syS9GeBgyGNy7I47ovxduOn0QXvzJEfmuTgq/zsLIjhjIk2myECYsGsJjzFaGDCrLS/HMmBEAgEVrt2qfl1hKdqmgjm3KsXF7Q8E7TwuNQuiwvRYzOuHAbhh9UHACzUKdh7SnkNQa5r2JaCIRzSOiuUR0pb39d0S0UrE0rfv80US0kIgWEdG1SdS5EMlr/1hInY1UmdeuOBJ3nVNwC00aNPAyW/39+7X4zrBegeeb8UJ+SUrzaATwC2aeTkRVAKYR0QR735+Z+U6vE4moFMDfAJwAYAWAqUT0GjPPy3mtC4y85LcKUWSua6caafbZq03BrZFi0CO9dngBjEwMoUlqDfPVAFbbn7cQ0XwAPf3PSjEcwCJ7LXMQ0bMAzgCwxwkPgz9992qDthXGElssCM3DiI7iJPE3jYhqABwKYDKAkQB+SkTfB1AHSzvZ4DqlJ4Avpe8rAChXPSGiMQDGAECfPn1irXchkA8tvVen1hhQ3RY3fuugPJSuxmug+t6vjk22IobsUKzKaSgeEo22IqJ2AF4E8HNm3gzgAQADAAyBpZnclc31mflhZq5l5trq6uxWWxN8b0Qf/OX8Q2O5Vrbkw8bbqqwUb//iGBy9X/D9vPu7QzDqgNxl/zU27pZFSvOIKDtMe8gviQkPIiqHJTieYuaXAICZ1zBzEzM3A/g7LBOVm5UAekvfe9nbEuH3Zx6M0wfvnVRxRc2Q3h3x2A8Oy3c1DEXCbWcdjKF9OqLvXm0jnW+irfJLUtFWBOBRAPOZ+W5pew/psG8DmKM4fSqAfYmoHxFVADgPwGu5rG+hYl4WQ0uitqYzXrp8ZE4XUTPkjqR8HiMBXARgNhHNsLf9GsD5RDQEls9sKYAfAwAR7Q3gEWY+hZkbieinAN4EUArgMWaem1C9DQWEEJ3GQp4biu2+GrNVfkkq2uoDqP29r3scvwrAKdL3172O3ZPY018WMg5Wg8Qe/jrkHRPXWEQUy8vy3/87Gku+3pbvahhCUizty1AYGOFhiJ39ulVhv27hlxXVxegd2aPS3ortvpqUNPnFeKqKiT3+Xdnjb4DBUDAY4VFEmGgrgyGNeRvyixEehuKj2OwrBcwlI2twtkYSwkLEWK3yi/F5FBF7+svSq1NrVLUqwzWutdMN0enbuQ0272zMdzUMRYgRHkXEHi47UFleitk3nZTvarQIBvXsAADYp2sVpi93p5MrDozDPL8Y4WEw7IGcPawXhvbthAHV7YpWeBjyi/F5FBFmpGWICyLCgOp2AJBKZnn8wG75rJKhyDCah8GwhzOoZwcsve3UfFfDUGQY4VFEFILe8dyYEWhsNuFOBsOejhEeRUQhWK0O779XvqtgMBgKAOPzMBgMBkNojPAoIswMc4Mhk1MO7p7vKuyRGLNVMWFkh8HgYOaNJ6JNRWm+q7FHYoSHwWAoWjq0Ls93FfZYjNmqiCgEh7nBYDAAya1h3puIJhLRPCKaS0RX2tv/REQLiGgWEb1MRB09zl9KRLOJaAYR1SVRZ4PBYDB4k5Tm0QjgF8x8IIARAK4gogMBTAAwiJkPAfAZgOt8rnEsMw9h5trcV7cwMYqHwWAoFBIRHsy8mpmn25+3AJgPoCcz/5eZRUrPTwAUZ27ohDDpSQwGQ6GQuM+DiGoAHApgsmvXDwG84XEaA/gvEU0jojE+1x5DRHVEVFdfXx9HdQ0Gg8GgIFHhQUTtALwI4OfMvFnafj0s09ZTHqceycxDAZwMy+R1tOogZn6YmWuZuba6ujrm2ucfo3cYDIZCITHhQUTlsATHU8z8krT9BwBOA3AhMyuTJjHzSvv/WgAvAxie8woXIMZqZTAYCoWkoq0IwKMA5jPz3dL20QCuBnA6M2/3OLctEVWJzwBOBDAn97U2GAwGgxdJaR4jAVwEYJQdbjuDiE4B8FcAVQAm2NseBAAi2puIXrfP7QbgAyKaCWAKgHHMPD6hehcUJj2JwWAoFBKZYc7MH0Btsn9dsQ3MvArAKfbnxQAG5652xYMxWxkMhkLBzDA3GAwGQ2iM8DAYDAZDaIzwMBgMBkNojPAoIozPw2AwFApGeBQRJtrKYDAUCkZ4GAwGgyE0RngUEcZsZTAYCgUjPIoIIzsMBkOhYISHwWAwGEJjhEcRYdbzMBgMhYIRHgaDwWAIjREeRYTROwwGQ6FghEcRYaxWBoOhUDDCw2AwGAyhMcKjiDAOc4PBUCgY4WEwGAyG0BjhYTAYDIbQJCY8iKg3EU0konlENJeIrrS3dyaiCUT0uf2/k8f5F9vHfE5EFydV70KkrMSYrwwGQ35JZBlam0YAv2Dm6URUBWAaEU0A8AMAbzPzbUR0LYBrAVwjn0hEnQHcCKAWANvnvsbMGxKsf0Hwm1MH4qh9q/NdDYPBsIeTmObBzKuZebr9eQuA+QB6AjgDwBP2YU8AOFNx+kkAJjDzeltgTAAwOve1LjwuO6o/9u9ele9qGAyGPZy8+DyIqAbAoQAmA+jGzKvtXV8B6KY4pSeAL6XvK+xt7uuOIaI6Iqqrr6+Ptc4Gg8FgSJO48CCidgBeBPBzZt4s72NmhmWWigQzP8zMtcxcW11tTDsGg8GQKxIVHkRUDktwPMXML9mb1xBRD3t/DwBrFaeuBNBb+t7L3mYwGAyGPJBktBUBeBTAfGa+W9r1GgARPXUxgFcVp78J4EQi6mRHY51obzMYDAZDHkhS8xgJ4CIAo4hohv13CoDbAJxARJ8DON7+DiKqJaJHAICZ1wO4BcBU++9me5vBYDAY8gBZboaWR21tLdfV1eW7GgaDwVBUENE0Zq4NOs7MMDcYDAZDaIzwMBgMBkNoWqzZiojqASyLeHoXAF/HWJ1iwPzmPQPzm/cMsvnNfZk5cK5DixUe2UBEdTo2v5aE+c17BuY37xkk8ZuN2cpgMBgMoTHCw2AwGAyhMcJDzcP5rkAeML95z8D85j2DnP9m4/MwGAwGQ2iM5mEwGAyG0BjhYTAYDIbQGOHhgohGE9FCIlpkr2xYNIRd6pcs/mL/1llENFS6lnLZXyIaRkSz7XP+Yie8zDtEVEpEnxLRWPt7PyKabNfzOSKqsLe3sr8vsvfXSNe4zt6+kIhOkrYXXJsgoo5E9AIRLSCi+UR0REt/zkT0f3a7nkNEzxBRZUt7zkT0GBGtJaI50racP1evMnxhZvNn/wEoBfAFgP4AKgDMBHBgvusVov49AAy1P1cB+AzAgQDuAHCtvf1aALfbn08B8AYAAjACwGR7e2cAi+3/nezPnex9U+xjyT735Hz/brteVwF4GsBY+/u/AZxnf34QwE/sz5cDeND+fB6A5+zPB9rPuxWAfnY7KC3UNgFr1c3L7M8VADq25OcMa/G3JQBaS8/3By3tOQM4GsBQAHOkbTl/rl5l+NY13y9BIf0BOALAm9L36wBcl+96ZfF7XgVwAoCFAHrY23oAWGh/fgjA+dLxC+395wN4SNr+kL2tB4AF0nbHcXn8nb0AvA1gFICx9ovxNYAy93OFlcr/CPtzmX0cuZ+1OK4Q2wSADnZHSq7tLfY5I72aaGf7uY2FtTx1i3vOAGrgFB45f65eZfj9GbOVE63lbosB0lvq1+v3+m1fodieb+4BcDWAZvv7XgA2MnOj/V2uZ+q32fs32ceHvRf5pB+AegD/sE11jxBRW7Tg58zMKwHcCWA5gNWwnts0tOznLEjiueosB+7ACI8WCOVwqd9Cg4hOA7CWmafluy4JUgbLtPEAMx8KYBssU0OKFvicOwE4A5bg3BtAWwCj81qpPJDEc9UtwwgPJ0W/3C2FW+rX6/f6be+l2J5PRgI4nYiWAngWlunqXgAdiajMPkauZ+q32fs7AFiH8Pcin6wAsIKZJ9vfX4AlTFrycz4ewBJmrmfmBgAvwXr2Lfk5C5J4rjrLgTswwsPJVAD72hEcFbAcba/luU7a2JETYZb6fQ3A9+2ojREANtmqq3LZX3vfZiIaYZf1faiXDU4MZr6OmXsxcw2s5/UOM18IYCKAs+3D3L9Z3Iuz7ePZ3n6eHaXTD8C+sJyLBdcmmPkrAF8S0f72puMAzEMLfs6wzFUjiKiNXSfxm1vsc5ZI4rnqLAfuJJ9OsEL8gxXB8BmsyIvr812fkHU/Epa6OQvADPvvFFi23rcBfA7gLQCd7eMJwN/s3zobQK10rR8CWGT/XSJtrwUwxz7nr3A5bfP8+49BOtqqP6xOYRGA5wG0srdX2t8X2fv7S+dfb/+uhZCiiwqxTQAYAqDOftavwIqqadHPGcBNABbY9XoSVsRUi3rOAJ6B5dNpgKVhXprEc/Uqw+/PpCcxGAwGQ2iM2cpgMBgMoTHCw2AwGP6/vbt3jSIKozj8O2ohfhZBMChaaBOLGFGCIIKCvaWFoJVgo+h/ENCAhSBWFkYRLEUwAQuDIgbRYIp8GNRGsYmooBYGgk1ei3uXjOtivEkmpDgPDLs7e/fubHX27sy+rxVzeJiZWTGHh5mZFXN4mJlZMYeHWQuS2iSN5e2zpKnK4xc1vec+SbcW+NrH/1UJ1WyJ+FJds3lI6gGmI+Jqze9zD7gcEeMLeO1pYHtE9C79kZn9zSsPs0KSpvPtEUnPJPVL+iDpiqSTkl7lngm78rgtku5LGsnboRZzbgQ6G8EhqUfSXUkvc4+FM3l/u6ShvAKalHQ4TzFAqpJqtizWzD/EzP5hL9ABfCf1TeiLiG6lRlzngAukWlvXIuK5pB2k8hEdTfM0/vlb1UnqvbAeGJX0kBQQjyKiV9JqYB1ARPzIJTfaIuJbLZ/UrMLhYbY4I5FLWUt6Dwzm/a+Bo/n+MWCP5prxbZK0ISKmK/O0k8qsV/VHxAwwI+kp0E2qwXQ7F8B8EBFjlfFfSRVnHR5WO/9sZbY4vyr3ZyuPZ5n7crYKOBgRXXnb1hQcADOkekxVzSckIyKGSN3mpoA7kk5Vnl+b5zGrncPDrH6DpJ+wAJDU1WLMW2B3077jSn2620hFH0ck7QS+RMRNoI9Uir1RUXkr8HHJj96sBYeHWf3OAwckTUh6A5xtHhAR74DN+cR5wwSp5PgwcCkiPpFCZFzSKHCCdD4FYD8wHHNd9cxq5Ut1zVYISReBnxHRV3p5sKTrwEBEPKnzGM0avPIwWzlu8Oc5lBKTDg5bTl55mJlZMa88zMysmMPDzMyKOTzMzKyYw8PMzIo5PMzMrNhvl3O+5NP2D9AAAAAASUVORK5CYII=n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537f9e7828>”

]

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

}

], “source”: [

“# Extracting "h-Twist" of 22nd bpn”, “twist_20bp = pdna.data[‘bps’][‘22’][‘h-twist’]n”, “n”, “#h-Twist vs Time for 22nd bpn”, “plt.title(‘22nd bp’)n”, “plt.plot(pdna.time, twist_20bp)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Twist ( $^o$)’)n”, “plt.show()”

]

}, {

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

“### Local helical parameters as a function of time (manually)n”, “n”, “* A specific local helical parameters for the given base-pairs 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”, “* The extracted parameters of the given helical step can be plotted as a function of timen”, “n”, “n”, “* The extracted parameters (average) for the DNA segment can be plotted as a function of timen”, “n”, “n”, “Following example shows h-Twist vs Time plots. These example also shows that how to extract the parameters value from the DNA object. Other properties could be extracted and plotted using similar steps. n”

]

}, {

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

{
“data”: {

“image/png”: “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”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537d3ea048>”

]

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

}, {

“data”: {

“image/png”: “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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537d40c278>”

]

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

}, {

“data”: {

“image/png”: “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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537d3246d8>”

]

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

}

], “source”: [

“# Extracting "h-Twist" of 20 to 30 base-stepsn”, “twist, bp_idx = pdna.get_parameters(‘h-twist’,[20,30], bp_range=True)n”, “n”, “# h-Twist vs Time for 22nd base-stepn”, “plt.title(‘22nd bp’)n”, “plt.plot(pdna.time, twist[2]) # index is 2 for 22nd base-step: (20 + 2)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Helical Twist ( $^o$)’)n”, “plt.show()n”, “n”, “# Average h-Twist vs Time for segment 20-30 base-stepn”, “avg_twist = np.mean(twist, axis=0) # Calculation of mean using mean function of numpyn”, “plt.title(‘20-30 bp segment’)n”, “plt.plot(pdna.time, avg_twist)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Helical Twist ( $^o$)’)n”, “plt.show()n”, “n”, “# Average h-Twist vs Time for segment 24-28 base-stepn”, “# index of 24th base-step is 4 (20 + 4). index of 28th base-step is 8 (20 + 8)n”, “avg_twist = np.mean(twist[4:8], axis=0) n”, “plt.title(‘24-28 bp segment’)n”, “plt.plot(pdna.time, avg_twist)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Helical Twist ( $^o$)’)n”, “plt.show()”

]

}, {

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

“### Local helical parameters as a function of time (using provided functions)n”, “n”, “Above examples show the method to extract the values from the DNA object. However, [dnaMD.DNA.time_vs_parameter(…)](http://do-x3dna.readthedocs.io/en/latest/dna_class_api.html#dnaMD.dnaMD.DNA.time_vs_parameter) function could be use to get parameter values as a function of time for the given base-pairs/step or segmentn”

]

}, {

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

{
“data”: {

“image/png”: “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”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537d31c198>”

]

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

}, {

“data”: {

“image/png”: “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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537d2daef0>”

]

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

}

], “source”: [

“# X-disp vs Time for 22nd bpn”, “plt.title(‘X-displacement for 22nd bp’)n”, “time, value = pdna.time_vs_parameter(‘x-disp’, [22])n”, “plt.plot(time, value)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘X-displacement ($\AA$)’)n”, “plt.show()n”, “n”, “# Helical Rise vs Time for 25-40 bp segmentn”, “plt.title(‘Helical Rise for 25-40 bp segment’)n”, “# Bound DNAn”, “# Helical Rise is the length of helix formed between two base-pairs, so for a given segment it is sum over the base-stepsn”, “time, value = pdna.time_vs_parameter(‘h-rise’, [25, 40], merge=True, merge_method=’sum’)n”, “plt.plot(time, value, label=’bound DNA’, c=’k’) # balck color => bound DNAn”, “# Free DNAn”, “time, value = fdna.time_vs_parameter(‘h-rise’, [25, 40], merge=True, merge_method=’sum’)n”, “plt.plot(time, value, label=’free DNA’, c=’r’) # red color => free DNAn”, “n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Helical Rise ( $\AA$)’)n”, “plt.legend()n”, “plt.show()”

]

}, {

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

“### Distribution of local helical parameters during MD simulationsn”, “n”, “* As shown in above plot of Time vs Helical Rise, comparison between bound and free DNA is very difficult. Therefore, to compare the parameters of either different DNAs or same DNAs in different environment or different segment of same DNAs, the distribution of parameters over the MD trajectory are sometime useful.n”, “n”, “n”, “* The distribution could be calculated using the function [dnaMD.DNA.parameter_distribution(…)](http://do-x3dna.readthedocs.io/en/latest/dna_class_api.html#dnaMD.dnaMD.DNA.parameter_distribution) as shown in the following examples.n”, “n”, “n”, “* The normalized distribution is calculated using [numpy.histogram(…)](http://docs.scipy.org/doc/numpy/reference/generated/numpy.histogram.html).n

]

}, {

“cell_type”: “code”, “execution_count”: 6, “metadata”: {}, “outputs”: [

{
“data”: {

“image/png”: “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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537d4223c8>”

]

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

}, {

“data”: {

“image/png”: “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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537d425a58>”

]

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

}

], “source”: [

“#### Helical Rise distribution for 20-45 bp segmentn”, “plt.title(‘Helical Rise distribution for 20-45 bp segment’)n”, “n”, “### Bound DNA ###n”, “n”, “## calculation of parameter distribution for the segmentn”, “values, density = pdna.parameter_distribution(‘h-rise’, [20, 45], bins=20, merge=True, merge_method=’sum’)n”, “n”, “## plot distributionn”, “plt.plot(values, density, label=’bound DNA’, c=’k’) # balck color => bound DNAn”, “n”, “### Free DNA ###n”, “n”, “## calculation of parameter distribution for the segmentn”, “values, density = fdna.parameter_distribution(‘h-rise’, [20, 45], bins=20, merge=True, merge_method=’sum’)n”, “n”, “## plot distributionn”, “plt.plot(values, density, label=’free DNA’, c=’r’) # red color => free DNAn”, “n”, “plt.xlabel(‘Helical Rise ( $\AA$)’)n”, “plt.ylabel(‘Density’)n”, “plt.legend()n”, “plt.show()n”, “n”, “n”, “#### Helical Twist distribution for 25-40 bp segmentn”, “plt.title(‘Helical Twist distribution for 25-40 bp segment’)n”, “n”, “### Bound DNA ###n”, “n”, “## calculation of parameter distribution for the segmentn”, “# Helical Twist is a measure of twisting in the helix formed between two base-pairs, so for helical twist of a given segment n”, “# is considered here as sum over the base-stepsn”, “values, density = pdna.parameter_distribution(‘h-twist’, [25, 40], bins=20, merge=True, merge_method=’sum’)n”, “n”, “## plot distributionn”, “plt.plot(values, density, label=’bound DNA’, c=’k’) # balck color => bound DNAn”, “n”, “### Free DNA ###n”, “n”, “## calculation of parameter distribution for the segmentn”, “values, density = fdna.parameter_distribution(‘h-twist’, [25, 40], bins=20, merge=True, merge_method=’sum’)n”, “n”, “## plot distributionn”, “plt.plot(values, density, label=’free DNA’, c=’r’) # red color => free DNAn”, “n”, “plt.xlabel(‘Helical Twist ( $^o$)’)n”, “plt.ylabel(‘Density’)n”, “plt.legend()n”, “plt.show()”

]

}, {

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

“### Local helical parameters as a function of base-stepsn”, “n”, “* What is the average values of a given parameter for either each helical step or a DNA segment?n”, “n”, “n”, “* To address this question, average values of a given parameter with its error could be calculated for either each base-step or a DNA segment using a function [dnaMD.DNA.get_mean_error(…)](http://do-x3dna.readthedocs.io/en/latest/dna_class_api.html#dnaMD.dnaMD.DNA.get_mean_error).n”, “n”, “n”, “* This average values could be also use to compare two DNA.n”, “n”, “n”, “* Standard error could be calculated using block averaging method as derived in this [publication](http://scitation.aip.org/content/aip/journal/jcp/116/1/10.1063/1.1421362). To use this method, [g_analyze](http://manual.gromacs.org/programs/gmx-analyze.html) of GROMACS package should be present in $PATH environment variable.n”

]

}, {

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

{
“data”: {

“image/png”: “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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537d3d6400>”

]

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

}, {

“data”: {

“image/png”: “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”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537d3edb38>”

]

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

}

], “source”: [

“######## Average Helical Rise as a function of base-steps ########n”, “n”, “plt.title(‘Average Helical Rise for each base-pairs’)n”, “n”, “### Calculating Average Helical Rise values for 5 to 56 base-steps DNA bound with proteinn”, “bp, rise, error = pdna.get_mean_error([5, 56], ‘h-rise’, err_type=’block’, bp_range=True)n”, “n”, “# plot these valuesn”, “plt.errorbar(bp, rise, yerr=error, ecolor=’k’, elinewidth=1, color=’k’, lw=0, marker=’o’, mfc=’k’, mew=1, ms=4, label=’bound DNA’ )n”, “n”, “### Calculating Average Helical Rise values for 5 to 56 base-steps DNAn”, “bp, rise, error = fdna.get_mean_error([5, 56], ‘h-rise’, err_type=’block’, bp_range=True)n”, “n”, “# plot these valuesn”, “plt.errorbar(bp, rise, yerr=error, ecolor=’r’, elinewidth=1, color=’r’, lw=0, marker=’x’, mfc=’r’, mew=1, ms=4, label=’free DNA’ )n”, “n”, “plt.ylabel(‘Helical Rise ($\AA$)’)n”, “plt.xlabel(‘base-step number’)n”, “plt.xlim(0,61)n”, “plt.ylim(1.5, 4.0)n”, “plt.legend()n”, “plt.show()n”, “n”, “######## Average Helical Rise as a function of DNA segments ########n”, “n”, “plt.title(‘Average Helical Rise for DNA segments’)n”, “n”, “### Calculating Average Helical Rise for 5 to 56 base-steps DNA bound with proteinn”, “### DNA segments are assumed to made up of 4 base-steps (merge_bp=4)n”, “bp, rise, error = pdna.get_mean_error([5,56], ‘h-rise’, err_type=’block’, bp_range=True, merge_bp=4, merge_method=’sum’)n”, “n”, “# plot these valuesn”, “plt.errorbar(bp, rise,yerr=error, ecolor=’k’, elinewidth=1, color=’k’, lw=1, marker=’o’, mfc=’k’, mew=1, ms=4, label=’bound DNA’ )n”, “n”, “### Calculating Average Helical Rise values for 5 to 56 base-steps DNAn”, “### DNA segments are assumed to made up of 5 base-steps (merge_bp=4)n”, “bp, rise, error = fdna.get_mean_error([5,56], ‘h-rise’, err_type=’block’, bp_range=True, merge_bp=4, merge_method=’sum’)n”, “n”, “# plot these valuesn”, “plt.errorbar(bp, rise, yerr=error, ecolor=’r’, elinewidth=1, color=’r’, lw=1, marker=’x’, mfc=’r’, mew=1, ms=4, label=’free DNA’ )n”, “n”, “plt.ylabel(‘Helical Rise ( $\AA$)’)n”, “plt.xlabel(‘base-step number’)n”, “plt.xlim(0,61)n”, “plt.ylim(9.5, 15.0)n”, “plt.legend()n”, “plt.show()”

]

}, {

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

“### Deviation in parameters of bound DNA with respect to free DNAn”, “n”, “As discussed in the above section, average parameters with standard error can be calculated for both bound and free DNA. Additionally, deviation in bound DNA with respect to the free DNA could be calculated using function [dnaMD.localDeformationVsBPS(…)](http://do-x3dna.readthedocs.io/en/latest/dnaMD_api.html#dnaMD.dnaMD.localDeformationVsBPS) as shown in the following example.n”

]

}, {

“cell_type”: “code”, “execution_count”: 8, “metadata”: {}, “outputs”: [

{
“data”: {

“image/png”: “iVBORw0KGgoAAAANSUhEUgAAAYoAAAEKCAYAAAAMzhLIAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvAOZPmwAAIABJREFUeJzt3Xd4VHX2+PH3CQhKkSIBkSJFDFIENRQFQZSF0FlhQVEWBcWKuiu4awV+dlddy1fXoNhdUECBgBARRUCxBEQiQhYJRXooCqKUkPP7Y27iBMKQmdyZOzM5r+e5T+7cueVcHebM/VRRVYwxxpjjSfA6AGOMMdHNEoUxxpiALFEYY4wJyBKFMcaYgCxRGGOMCcgShTHGmIAsURhjjAnIEoUxxpiALFEYY4wJqKzXAbihRo0a2qBBA6/DMMaYmLJ06dKdqpp4ov3iIlE0aNCAjIwMr8MwxpiYIiIbirOfFT0ZY4wJyBKFMcaYgCxRGGOMCcgShTHGmIAsURhjjAnIEoUxxpiALFEYY4wJyBKFMcaYgDxLFCLyqojsEJHv/bZVF5F5IrLG+VvNq/iMKe3GjRvndQgmSnj5RPE6kHLUtn8C81W1CTDfeW2M8cD48eO9DsFECc8ShaouBHYftbkf8Iaz/gbQP6JBGWOMOUa01VHUUtWtzvo2oNbxdhSRkSKSISIZOTk5kYnOGGNKoWhLFAVUVQEN8P4EVU1W1eTExBMOfmiMMSZE0ZYototIbQDn7w6P4zHGmFIv2hLFTGCYsz4MmOFhLMYYY/C2eewkYAmQJCKbRGQE8BjwJxFZA3R1XhtjjPGQZxMXqeqVx3nrsogGYowxJqBoK3oyxhgTZSxRGGMKyc7Opnnz5gA0b96c7OxsjyMyXrNEYYwppE+fPqxatQqA1atX06dPH48jMl6zRGGMKSQrKwtfNybIy8sjKyvL44iM1yxRGGMKadSoUcF6QkICSUlJHkZjooElCmNMIUOHDqVKlSoAVK9enbS0NI8jMl6zRGGMKWTJkiWkpqYCcOqpp9KwYUOPIzJes0RhjCmwf/9+Fi9eTEqKbwaAhIQEli5d6nFUxmuWKIwxBebNm0fbtm0Lip4GDRrEe++953FUxmuWKIwxBWbOnFmoOezgwYN57733ClpBmdLJEoUxBvA1hZ09e3ahRNGyZUtOOeUUvvrqKw8jM14LOVGISEURKeNmMMYY73z99dckJiYWah4rIgVPFab0KnaiEJEEERkiIrNFZAewGtgqIj+IyL9E5KzwhWmMCbe0tLQie2Hn11Pk5eV5EJWJBsE8UXwKNAbuBk5X1XqqWhPoCHwJPC4iV4chRmNMBBxdP5GvWbNmVKtWjS+++MKDqEw0CGaY8a6qevjojaq6G5gGTBORk1yLzBgTMevXr2f79u20a9euYNvYsWML1gcPHsy7775Lx44dvQjPeKzYTxRFJYl8IlL1RPsYY6JXWloavXr1okyZP6odx40bV7A+aNAgpk6dypEjRzyIznjthIlCRC4QkbEiUk1EKotIexEZISJPi0i6iGwG1rsZlIj8TURWisj3IjJJRE528/zGmMKOVz+R7+yzz+b0009n0aJFEYzKRIviPFGkArOAjUAW8CDQGvgRaAmcp6pV3QpIROoAtwHJqtoCKANc4db5jTGF7d27lyVLltCtW7eA++UXP5nSpziJ4gtgDLAM2Ay8rKqjVPVF4KCq7ghDXGWBU0SkLFAB2BKGaxhjgPT0dDp27EilSpUC7jdo0CCmTZtGbm5uhCIz0eKEiUJVbwOGq2pnoDvQXkSWiEgPwPXumqq6GXgS3xPMVuAXVf3I7esYY3xOVOyUr1GjRpx55pksWLAg/EGZqFKsymxV/c35u1tV/46vKGgIUEtEurgZkIhUA/oBDYEzgIpFNbsVkZEikiEiGTk5OW6GYEypkZuby4cffkjv3r2Ltb8VP5VOIfXMVtUNqjoU6AD8Q0Q+czGmrsA6Vc1xWlG9D1xURAwTVDVZVZMTExNdvLwxpceSJUuoW7cu9evXL9b+f/nLX/jggw84fNgaOJYmwfTMlqO3qepyVU0Bxh1vnxBsxFe8VcE532XAKhfOa4w5SlpaGn379i32/meeeSZNmjRh/vz5YYzKRJugemaLyCgRKfTTQ0TKAQki8gYwrKQBqepXwFR8leeZTowTSnpeY8yxils/4c+Kn0ofKe7wwU5fhuHAVfjqD34GTsbXfPUj4EVV/TZMcQaUnJysGRkZXlzamJi1Zs0aOnXqxObNm0lIKP5vxs2bN9OyZUu2bt1K+fLlwxihCTcRWaqqySfar9hDeKjqAeBF4EVnqI4awO+q+nPoYRpjvJKWlkbv3r2DShIAderUoUWLFsybN6/YleAmtoVamX1YVbdakjAmdgVbP+Fv0KBBVvxUitjERcaUQnv27GHp0qVcdtllIR0/cOBAZs2axYEDB1yOzEQjSxTGlEJz5syhc+fOVKhQIaTjTz/9dM477zzmzp3rcmQmGgWdKETk8eJsM8ZEr1BaOx3Nip9Kj1CeKP5UxLYeJQ3EGBMZhw8fJj09vcQV0QMGDGDOnDn89ttvLkVmolUwHe5uEpFMIElEVvgt64AV4QvRGOOmxYsX07hxY84444wSnScxMZG2bdsye/ZslyIz0SqYJ4r/An2Amc7f/OUCVbUpUI2JEceb8jQUgwcP5r333nPlXCZ6FbvDXTSzDnfGFI+q0qRJE6ZOnUrr1q1LfL7du3fTsGFDNm/efMJhyk30cb3Dnd+JywMDgAb+x6vq/wv2XMaYyFq9ejWHDh2iVatWrpyvevXqdOjQgbS0NK688kpXzmmiTyiV2TPwDQOeC+z3W4wxUS6/N7Y743f6WPFT/Av6iQKo64wYa4yJMTNnzuTee+919Zz9+vXjtttuY+/evZx66qmunttEh1CeKL4QkZauR2KMCaudO3eSmZlJly6uzjVG1apV6dy5MzNmzHD1vCZ6hJIoOgLLRCTLaR6bKSLWPNaYKPfhhx9y2WWXcfLJJ7t+bht6PL6FUvRkneuMiUFu9MY+nr59+3LzzTezZ88eqlWrFpZrGO+E8kSxEbgYGKaqGwAFarkalTHGVQcPHmTevHn06tUrLOevXLkyl112GdOnTw/L+Y23QkkULwIXAvlt4fYBL7gWESAiVUVkqoisFpFVInKhm+c3prT57LPPaNasGTVr1gzbNaz4KX6FkijaqeotwAEAVd0DlHM1KngWmKuqTYFW2JzZxpRIOIud8vXu3Zsvv/ySXbt2hfU6JvJCSRSHRaQMviInRCQRyHMrIBGpAnQCJgKo6iGbIMmY0KlqRBJFxYoV6d69O++//35Yr2MiL5RE8RzwAVBLRB4GPgcedTGmhkAO8JqIfCsir4hIRRfPb0ypkpmZiYjQvHnzsF/Lhh6PT0EnClV9B7gLeATYAvRVVTe7ZZYFzgf+o6rn4ev1/c+jdxKRkSKSISIZOTk5Ll7emPiSP+Wpm72xj6dnz55kZGSwffv2sF/LRE4oExcl43uCuA64EXjP5X4Um4BNqvqV83oqvsRRiKpOUNVkVU1OTEx08fLGxJdIFDvlO+WUU+jVq5cVP8WZUIqe3gFeAy4HevPHcOOuUNVtwE8ikuRsugz4wa3zG1OabNu2jaysLDp16hSxa1rxU/wJJVHkqOpMVV2nqhvyF5fjGgW84zyptMZXzGWMCdLs2bPp1q0b5cq53TDx+FJSUlixYgVbtmyJ2DVNeIWSKMY6FcxXisjl+YubQanqcqdY6VxV7e80wTXGBCmSxU75ypcvT58+fZg2bVpEr2vCJ5REcS2+X/kp/FHsVLLJd40xrjtw4ACffvopPXpEftQd63wXX0IZ66mNqiadeDdjjJc++eQTWrVqxWmnnRbxa3ft2pWhQ4fy008/Ua9evYhf37gr1GHGm7keiTHGVTNnzqRv376eXLtcuXL079+fKVOmeHJ9465QEkV7YLkNM25M9FJVZs2aFfH6CX828138CKXoyWa3MybKffvtt1SoUIGkJO9Kibt06cLatWtZv349DRo08CwOU3Kh9MzeUNQSjuCMMaHxorXT0U466SQuv/zyY54qxo0b501AJmSh9MwWEblaRB5wXtcXkbbuh2bihX0xRJ6X9RP+iip+Gj9+vEfRmFCJqgZ3gMh/8I0We6mqniMi1YCPVLVNOAIsjuTkZM3IyPDq8uYERIRgP2cmdJs3b+bcc89l+/btlC0bSumye44cOUKdOnVYvHgxZ511FmCfh2giIktVNflE+0XrfBQmDmRnZxeMWNq8eXOys7M9jqh0mDVrFikpKZ4nCYAyZcowYMAAq9SOcVE3H4WJH3369GH16tUArF692vMy89IiGuon/Fnnu9hXkvkoajrzUSzG3fkoTJzIysoiL8/3GyIvL4+srCyPI4p/+/fvZ+HChaSkRE/jxI4dO7Jz586CHw0m9pRkPopHga1Af5fnozBxwr9ppoh42lSztPj4449p06YNVatW9TqUAgkJCQwcONCKn2JYKK2e3gC2qeoLqvp/wDYRedX90EysGzNmDCeffDLg+7J46qmnPI4o/kVbsVM+K36KbaEUPZ3rP4e1U5l9nnshmXgxc+ZMnn32WQCeeuqpgnUTHnl5eZ73xj6e9u3bs2/fPlauXOl1KCYEoSSKBKdJLAAiUp3QenibOLZlyxYWLFjAlVdeydixY7nppptYu3Ytc+fO9Tq0uPXNN99w2mmn0bhxY69DOUZCQoJNaBTDQkkUTwFLRORBEXkI+AJ4wt2wTKybOHEigwcPpnLlyowbN45y5crxr3/9i9GjR5Obm+t1eHEpWoud8nXo0IHHH38csObSsSaUyuw38U2Duh3YBlyuqm+5HZiJXUeOHOHll1/mhhtuKLS9b9++JCYmMnHiRI8ii2/Rnijuu+8+Dh06BFhz6VgTyhMF+Fo7fQ2sAGqIiOsT8opIGRH5VkRmuX1uE15z5syhdu3atG7dutB2EeGpp55i7Nix7N2716Po4tOGDRvYunUr7du39zqU4/JvHm3NpWNLKK2ergMWAunAeOfvOHfDAuB2YFUYzmvCLDU1lRtvvLHI984//3x69OjBo49a1xs3paWl0bNnT8qUKeN1KMeVlJREQoLvKychIcGaS8eQUJ4obgfaABtUtQu+Fk8/Bz4kOCJSF+gFvOLmeU34bdy4kS+++ILBgwcfd5+HHnqICRMmsH79+sgFFueivdgJfDE2bdoUgDp16pCWluZxRKa4QkkUB1T1AICIlFfV1YDbPw2ewdepz4YGiTGvvPIKQ4YMoUKFCsfdp06dOtx2223cfffdEYwsfu3du5clS5bQrVs3r0MJqFGjRgXNY1u1akWjRo08jsgUVyiJYpOIVAWmA/NEZAbg2nwUItIb2KGqS0+w30gRyRCRjJycHLcub0ogNzeXiRMnHlOJXZTRo0ezaNEilixZEoHI4tt1113HRRddROXKlb0OpdgWL17Mli1bvA7DFFMorZ7+rKo/q+o44H5gItDfxZg6AH1FZD0wGbhURN4uIo4JqpqsqsmJiYkuXt6EatasWTRs2JAWLVqccN+KFSvy8MMP8/e//92GnC6hKVOmRH2x09EGDhzIm2++6XUYpphCbfUEgKp+pqozVfWQWwGp6t2qWldVGwBXAJ+o6tVund+Ez0svvVSsp4l8Q4cO5dChQzYGUIiys7Np1qwZAM8++2xM9UsYMWIEr776qv1IiBHFThQisk9E9jrLPr/X+0TE2jqWcuvWrWPp0qUMHDiw2Mfkj//0j3/8gwMHDoQxuvjkP4z72rVrY+qpol27dpx00kksWrTI61BMMRQ7UahqZVU91Vkq+72urKqnhiM4VV2gqr3DcW7jrpdffpmhQ4dyyimnBHXcJZdcwnnnnWfjQIUgKyur4Bd5rPVLEBFGjBhhnS9jRChToZ4M3Ax0xDd50SLgpfyWUF6wqVC9dejQIerXr8+CBQsKmj8GY82aNVx44YX88MMP1KxZMwwRxqfmzZvzww8/AL6ns6ZNm8bEoHv5U6Hm5OTQpEkTNmzYQJUqVbwOq1QK51SobwLNgeeB/3PWbQiPUmzGjBmcc845ISUJgCZNmjB06FDGjh3rcmTx7aWXXiroYNe0adOY65eQmJhI165dmTx5stehmBMIJVG0UNURqvqps1yPL1mYUio1NTWoSuyi3H///UybNi0mfhFHi8zMTK666ioAVq5cGZP9Eqz4KTaEkiiWiUjBgDIi0g6wcp9Sas2aNWRmZvLnP/+5ROepXr069957L6NHj3Ypsvg3e/ZsevXq5XUYJdKtWze2bt1KZmam16GYAEJJFBcAX4jIeqevwxKgjYhkisgKV6MzUW/ChAlcc801lC9fvsTnyp+zIj093YXI4ttvv/3GokWL6NatW8wV2fnHW6ZMGa655hp7qohyoVRmnxnofVV1rZd2cVlltjcOHjxIvXr1+OKLLzjrrLNcOef06dO57777WL58OWXL2nxYxzNr1iyefPJJFixY4HUoJZadnU27du3YtGmTKz84TPGFrTJbVTcEWkIL18Si999/n1atWrmWJAD69etHjRo1ePVVm4Y9kNmzZ9O7d3y0HG/UqBEtW7Zk5syZXodijiOUYcb/IiKVnfX7ROR9ETnf/dBMtAu2J3ZxiAhPP/20zVkRgKrGRf2EP6vUjm6h1FHcr6r7RKQj0BXfWE//cTcsE+1WrVrF//73P/r16+f6uc8//3y6d+/OY4895vq548H3339P2bJlQ26OHI0uv/xyvvnmGzZu3Oh1KKYIoSSKI87fXsAEVZ0NlHMvJBMLJkyYwPDhwznppJPCcv6HH36Y1NRUNmyw0syjzZo1i969eyMiXofimlNOOYUrrriC119/3etQTBFCSRSbRWQCvgH7PhSR8iGex8So33//nbfeeovrr78+bNeoU6cOo0aNsjkrihBvxU75RowYwWuvvUZenk1DE21C+YL/CzAH+JOq/gxUA6zxeykyZcoU2rZtS4MGDcJ6nTFjxrBw4UK+/PLLsF4nluzatYvMzEw6d+7sdSiuO//886latSqffPKJ16GYowQzeuxiZ3UH8Aa+jnd7gTXAtDDEZqKUGz2xi6NixYo89NBDNmeFn7lz53LJJZdw8sknex1KWFildnQKZvTYjs5f/1Fkwzp6rIk+mZmZbNiwIWJFH3/96185cOAAU6ZMicj1ol08NYstypAhQ5gzZw67d+/2OhTjx+oWTFBSU1O57rrrItYZzuas+ENubi7p6en07NnT61DCpnr16vTo0YP//ve/Xodi/BT7X7uI/D3Q+6r6dMnDMdFs//79TJo0ie+++y6i1+3SpQutWrXiueee46677orotaPJl19+Sf369alTp47XoYTViBEjGDNmDLfeeqvXoRhHME8UlZ0lGbgJqOMsNwKudbgTkXoi8qmI/CAiK0XkdrfObUpm8uTJdOjQgbp160b82k888QRPPPEEO3bsiPi1o0V+s9h4d+mll/Lzzz+zbNkyr0MxjmDqKMar6nigLnC+qt6pqnfiGySwvosx5QJ3qmozoD1wi4g0c/H8JkSpqanceOONnlz77LPP5uqrr2bcuHGeXD8axGuz2KMlJCRw7bXXWqV2FAmljqIWcMjv9SFnmytUdauqLnPW9wGr8D25GA8tW7aM7du30717d89ieOCBB5gyZUqpnLNiw4YNbN++nTZt2ngdSkRcc801TJ48md9//93rUAyhz3D3tYiME5HxwFfA665G5RCRBsB5zjWMh1JTU7n++usLZlTzQv6cFWPGjAEoVU8Xs2fPJiUlxdP//pFUv3592rRpw/vvv+91KIbQRo99GLgW2AP8Dlyrqo+6HZiIVMLXP+MOVT1mdDgRGSkiGSKSkZOT4/bljZ99+/YxZcoURowY4XUo3HzzzaxZs4b09HTGjx/vdTgRE+/NYotifSqiR0jNY1V1mao+CwxS1W9djgkROQlfknhHVYv8SaGqE1Q1WVWTExMT3Q7B+Pnvf/9Lly5dqF27ttehUK5cOe68886CwQibN29Odna2x1GFl/8kRaVJ3759yczMZO3atV6HUuqVtB+F66OSiW+ks4nAKmty6z1VDctw4iXx/PPPc/DgQQBWr15Nnz59PI4ovD799NOC4S1Kk/Lly3PVVVfx2muveR1KqVfSRPGyK1EU1gEYClwqIsudJX57GEW5b775hr1799K1a1evQymQlZVVsJ6Xl1fodTwqLc1iizJixAhef/11jhw5cuKdTdgEM9bTMU1gVfVF572L3QpIVRerqqjquara2lk+dOv8JjipqamMHDmShITo6cSflJRUEE9CQgJJSUkeRxQ+8ThJUTBatmzJGWecwUcffeR1KKVaMP/6F4jIXSJS0OxCRGqJyNvAv90PzXjt559/Ztq0aVx77bVeh1JIWlpawaQ9p59+OmlpaR5HFD7xOElRsKxS23vBJIoLgMbAchG51Okx/TWwBGgbjuCMt95++226d+9OzZo1vQ6lkEaNGhX0pejUqRONGjXyOKLwmTVrFr169YqrSYqCdcUVV/Dxxx9jrRu9E0zP7D2qegPwCvAxMAbooKovqKrNNBJnVNXTntjF8be//Y158+bFdfl1aWwWe7QqVarQr18/3nrrLa9DKbWCqaOoKiKp+PpQpABTgTkicmm4gjPeWbJkCYcOHeKSSy7xOpTjevrpp6lduzYZGRlehxIW8TxJUbDyi59sXhJvBFP0tAzfJEXJqvqRqt6Br3XSQyIyKSzRxbhY7jn80ksvMXLkyKgv8khJSWHOnDlehxEW6enpcT1JUTAuvvhiDh8+zFdf2SANXggmUXRS1SdVNTd/g6ouV9WLAJu7sAix2nN49+7dzJw5k2HDhnkdygn16NGDuXPneh1GWJTmZrFHExGGDx9uldoekXh4lEtOTtZoLH4QkZh8VH7mmWfIyMjg7bff9jqUEzp48CA1a9YkOzub0047zetwXJObm0utWrVYsWJF3M8/UVxbtmyhefPm/PTTT1SqVMnrcOKCiCxV1eQT7Rc9jePjSHZ2Ns2bNwdib4iJaOyJHUj58uXp3Lkz8+bN8zoUV5WWSYqCccYZZ9CxY0emTp3qdSiljiWKMOjTpw+rV68GYmuIiXHjxrFw4ULKlClDx44dvQ6n2FJSUuKu+Cm/WawpzPpUeMMSRRhkZWWRl+drMRxLQ0yMHz+e1NRUbrjhhqivxPaXnyjy/5vHA2sWW7RevXqxZs2aIv9NxXLjkWgXdB2FiJQHBgAN8JtzW1X/n6uRBSHa6iiaN2/O6tWrC764ateuzZYtWzyO6sREhCpVqrBu3TqqVavmdThBSUpKYvLkyZx33nleh1JiGzduJDk5ma1bt5aa+SeCcddddyEiPP7444W2x2qdoJfCWUcxA+iHb8rS/X6LcfgPMdG4cWMOHDhAZmamx1Edn3+dCsCePXs8jCY08VT8VNomKQrW8OHDefPNNzl8+LDXoZQaoSSKuqo6WFWfUNWn8hfXI4th/kNM/Pjjj/z73/9m8ODB7N8fnfnUv05l7969MVOn4i+eEoU1iw2sadOmNG7cmA8/jMxYoVakFVqi+EJEWroeSRwbNmwYycnJ3H777V6HUiT/OhVVjZk6FX+dO3dm2bJl/PLLL16HUiKldZKiYEWiUjv/SXv8+PFhab0YSwkolETREVgmIlkiskJEMkVkhduBxYOxY8cWrL/wwgssXLiQSZOirxO7fxPMWB22u0KFCnTo0IH58+d7HUqJlNZJioL1l7/8hUWLFrF169awXSPcrRdjqUNu2RPvcowUfDPbWa3RCfj/YqhcuTKTJ0+me/futG3blsaNG3sXmJ+MjAx+/fVXGjZsyLp162jatGnMDtudX/x0+eWXex1KyKxZbPFUqlSJAQMG8MYbb/DPf/7T1XPn5eWxaNEiVq1aVVA5npeXxw8//ECnTp2oUaMGiYmJJCYmFlr3fx1o2JXs7OyCpNO8eXPS0tKifgTkYrd6EpHFqtpRRPZROEkIoKp6ajgCLI5oa/UUyHPPPcdbb73F559/Trly5TyNZd26dXTo0IEXX3yR/v37x3yrkdWrV9OtWzc2bNgQU81786kqZ555Junp6ZxzzjlehxP1lixZwrBhw8jKykJESvT5VVVWrFjBO++8w6RJk6hevTrbtm1j586d5OXlkZCQQMOGDZk4cSI5OTns3LmTnJycY9bzX5crV+64SeS5555j69atqCoJCQk0bdq0oE4z0orb6qnYTxSq2tH5W7kkgRWHiKQAzwJlgFdU9bFwXzNSRo0axfz587nnnnt48sknPYtj165d9OjRg3vuuYf+/ft7Foeb8me+W7VqFc2aNfM6nKDZJEXBad++PWXLlmXx4sVcfHFok2yuW7eOSZMm8c4777B//36GDBnCnDlzaNGiRcEv/x9++KHgSbs4v/xVlX379h03ieQnCYihflaqGlULvuSwFmgElAO+A5oFOuaCCy7QWLJz506tV6+ezpo1y5Pr//7779qhQwcdM2ZMoe2+j0Nsu+GGG/Spp57yOoyQPProo3rrrbd6HUZMefLJJ3XYsGGqWvzP744dO/SFF17Qiy66SGvUqKE33XSTLl68WPPy8orc3+1/F82aNdOEhAQFNCEhQZs1a+bq+YMBZGhxvpeLs1MkF+BCIN3v9d3A3YGOibVEoaq6cOFCrVWrlm7atCmi1z1y5IgOHDhQr7jiCj1y5Eih98aOHRvRWMJh+vTp2rVrV6/DCEmHDh107ty5XocRU7Zv365VqlTRX375JeAX+r59+/Ttt9/Wnj17apUqVXTIkCE6a9YsPXTo0Amv4fa/i7Vr12qzZs0U0GbNmunatWtdPX8wipsoom70WBEZCKSo6nXO66FAO1W99XjHVK5cWS+44IJC2wYNGsTNN9/Mb7/9Rs+ePY855pprruGaa65h586dDBw48Jj3b7rpJgYPHsxPP/3E0KFDj3n/zjvvpE+fPmRlZRU5gN59991H165dWb58OXfccccx7z/yyCPMnz+fDz74gMqVKx9Tpv7MM8/QunVrPv74Yx566KFjjk9NTSUpKYm0tDSeeurYbixvvfUW9erV492UNzioAAAWeklEQVR33+U///lPwfYff/yRX3/9lZUrV1KnTh1ef/11Xn/99WOO//DDD6lQoQIvvvgi77333jHvL1iwAIAnn3ySWbNmFXrvlFNOKZgj4sEHHzymJdJpp53GtGnTALj77rtZsmRJoffr1q1bMHLtHXfcwfLlywu9f/bZZzNhwgQARo4cyf/+97+C93Jzc/n666/Zs2cPFStW5Oqrr2bTpk2Fjr/wwgt59NFHARgwYAC7du0q9P5ll13G/fffD/iGMf/9998Lvd+7d29Gjx4NUOTETqF89vLnWrjooou45ZZbwv7Zu+iii/jiiy+45557jnk/XJ+9fFOnTqVGjRquffZWrlxJtWrVWLNmTaH5ScaNG8e0adPYsWMHu3btokqVKjRu3JhPPvmESpUquf7ZA2jdujXPPPMMwAk/eyJyzKRUkf7sffbZZ/E9eqyIjBSRDBHJiNUemvn/SDdu3BiR623atIk9e/bQvHlzypcvH5FrRlrZsmWpVatWwZdJrNi9ezdVq1YlISFm/0l6pnr16qxduxaARYsW8d5773HzzTfzr3/9i40bN3LqqafStm1bWrZsSb169aJmiPKYarBQnMcOLVw0VB4YAtwDPJC/BHueAOcvFUVP+TZv3qynn366Lly4MKzXmTp1qtapU0fXr18f1utEg8ceeyzmyvqvvPJKTU1N9TqMmHTOOecovpaYCmi5cuX04Ycf1uzsbK9Di3qEq+hJROYCvwBLgYJZ7dWlYTxEpCzwP+AyYDPwDTBEVY/bfiyWmscW5cMPP+TGG2/k22+/DcvkO59//jn9+/fno48+iotB807ku+++Y+DAgaxZs8brUIrFJikqmbJly3LkSMFXEWXKlCE3NzfAESaf681j/dRV1ZQQjisWVc0VkVuBdHwtoF4NlCTiQc+ePRk0aBDXXnstM2bMcLUPQFZWFgMGDODtt98uFUkC4Nxzz2X//v38+OOPnHXWWV6Hc0I2SVHJJCUlFYzWHKsjC0S7qBzrSVU/VNWzVbWxqj4czmtFi0ceeYStW7fy/PPPu3bO7du307NnTx555BG6d+/u2nmjnYjE1CCBs2fPtt7YJeA/WnMsjywQzUId62mpjfXkrnLlyjF58mQefPBBli1bVuLz7d+/n969ezN06FCGDx/uQoSxJZYShY0WWzL+ozWvXLky6ofDiEWh1FGcWdR2Vd3gSkQhiPU6Cn+TJ0/mgQceYOnSpVSuHFon+NzcXPr370/NmjWZOHFiTA5nUVK7d++mQYMG7NixI+C4O16zSYrcE+tD0HghbBMXOQmhKtDHWap6mSTizRVXXEHnzp25+eabQ/rQqyq33HILhw8fJjU1tVQmCfA1mWzRogWLFy/2OpSAbJIiEwuCThQicjvwDlDTWd4WkVFuB1aaPfvssyxdupQ333wz6GMfffRRvv76a6ZOncpJJ50UhuhiR48ePQo6X0UrGy3WxITitKH1X4AVQEW/1xWBFcGex80llvtRHM+KFSu0Ro0aunr16mIf89Zbb+mZZ56pmzdvDmNksePrr7/2dBydE9m/f79WrlxZ9+zZ43UocYE4GKss0ihmP4pQKrMFv/4TznrpLN8Io5YtW/LQQw8xePBgDhw4cML958+fz5133sns2bM544wzIhBh9LvgggvYsWNHxHq+B8smKTKxIpRE8RrwlYiME5FxwJdAeOckLKVGjhxJkyZNGDNmTMD9MjMzufLKK3n33Xdp3rx5hKKLfgkJCXTr1o309HSvQymSFTuZWBFKZfbTwHBgt7Ncq6rPuB2Y8bXiePnll5k9ezYffPBBwXb/mfM2bdpEr169eO6554ocJKy0i9ZmsqrK7NmzrVmsiQlRN3psKOKpeWxRvvzyS/r27cs333zDmWeeWdAM8JdffuHiiy/m6quv5q677vI6zKi0Y8cOzj77bHJycqKqcj8zM5N+/fqxdu3aUtsyzW3WPDZ4rjePFZHFzt99IrLXb9knIntLEqwJrH379owePZohQ4YUjGFz6NAhBgwYQKdOnU5YNFWa1axZk7POOuuY4aS9lt8b25KEiQXFThTqNxWqqp7qt1RWD+fLLi1Gjx5NQkICtWvXBnxfgCLCs88+a182JxCNxU9WP2FiSSj9KB4vzjbjroSEBHbs2MHOnTsB+OWXX9i0aZN11CqGaEsUu3btIjMz0+qUXDZ27FivQ4hbobR6+lMR23qUNBBzYvmTs+SLlWG0vda+fXvWrVvHtm3bvA4FgPT0dC655JKoHlokFvk38jDuCqaO4iYRyQSSnMEA85d1QGb4QjT5kpKSCmZAs+GUi69s2bJ07do1aprJWrGTiTXBPFH8F9/YTjP5Y5ynPsAFqnpVGGIzR7HhlEMXLcVPubm5pKenW6IwMSWk5rEiUg1oAhQ8O6vqQhfjCkq8N489mjUDDN6mTZto3bo127dv96xeZ9y4cXTt2pVRo0bx7bffehKDMf7CNsOdiFwH3A7UBZYD7YElwKXBnquIc/8L31PKIWAtvs58P5f0vMbUrVuX2rVrk5GRQbt27TyJYfz48Rw8eNCeJkzMCaUy+3agDbBBVbsA5wFufZnPA1qo6rn45s2+26XzxhVr3RGaHj16eF78ZPUTJhaFkigOqOoBABEpr6qrAVdqVVX1I1XNnxX9S3xPLeYo1rojNCkpKZ4PO75t2zbatm3raQzGBCuURLFJRKoC04F5IjIDCMfERcOB6J5MwMSUDh06sGrVKnbt2uVZDD169LC+LybmhDIo4J9V9WdVHQfcj2/k2P7FPV5EPhaR74tY+vntcy+Qi2+CpOOdZ6SIZIhIRk5OTrC3YUqh8uXL07lzZ+bNm+dZDFbsZGJRKE8UBVT1M1WdqaqHgjimq6q2KGKZASAi1wC9gas0QNMeVZ2gqsmqmpyYmFiS2zCliBfNZLOzsznnnHMAX/1SdnZ2RK9vTElF1aCAIpIC3AX0VdXf3DinMf5SUlJIT08nLy8vYtfs06cPWVlZgK83fZ8+fSJ2bWPcEG2DAv4fUBlf3cdyEXnJpfMaA0CjRo049dRT+e677yJ2zaysrIJ+L3l5eQVJw5hYEcqggH8XkbDMtamqZ6lqPVVt7Sw3huM6pnSLZPHTwYMHKVeuXMEIvzb0iolFodRR5P/iXyQit4pILbeDMiacIpUoVJWbbrqJzp07F9RR2NArJhaFPMOdiJwLDAYGAJtUtaubgQWjtA3hYUrmt99+o1atWmzatIkqVaqE7TrPP/88r7zyCp9//jmVKlWyoVdM1HF9hrsi7AC2AbuAmiU4jzERVaFCBTp06MAnn3wStmt88sknPPzww0yfPp1KlSqF7TrGREIodRQ3i8gCYD5wGnC9M+SGMTEjnL20161bx5AhQ5g0aRINGzYMyzWMiaSgBwUE6gF3qOpyt4MxJlJSUlJ4+umnUVVXp5L99ddf6devH/fddx9dunRx7bzGeCmUoqd7gRYicj+AiNQXERu8xsSU/EmgVq1a5do58/Ly+Otf/0rbtm255ZZbXDuvMV4LJVG8AFwIDHFe73O2GRMzRMT11k8PPfQQ27Zt44UXXijyKcVG/TWxKpRE0U5VbwEOAKjqHqCcq1EZEwFuDjs+ffp0Xn75ZaZNm0b58uWL3MdG/TWxKpREcVhEygAKICKJQOTGQzDGJZdeeilLlixh//79JTrP999/z/XXX8/7779P7dq1XYrOmOgRSqJ4DvgAqCUiDwOLgUdcjcqYCKhcuTLJycksWLAg5HPs3r2b/v378/TTT9OmTRv3gjMmioQyzPg7wJNAKrAF6K+qU9wOzJhIKEk9RW5uLoMHD6Z///4MHTrU5ciMiR7Fbh4rvtq5scCt+BKM4Jsz4jTg/4UlOmPCLCUlhYEDB4Z07F133UVCQgKPPfaYy1EZE12CeaL4G9ABaKOq1VW1GtAO6CAifwtLdMaE2bnnnsv+/fv58ccfgzrujTfeIC0tjcmTJ1O2bCjdkYyJHcEkiqHAlaq6Ln+DqmYDVwN/dTswYyKhqGayJ2qd9NVXXzF69GhmzJhBtWrVwhyhMd4LJlGcpKo7j96oqjnASe6FZExkHZ0oxo8ff9x9t2zZwoABA5g4cSLNmjWLRHjGeC6YRBFoutNiT4VqTLTp2rUrCxcu5MCBAwH3O3DgAJdffjk33ngjffv2jVB0xngvmETR6qgpUAumQgVahitAY8KtevXqtGjRgsWLFx93n/y5JerVq8e9994bweiM8V4wU6GWOWoKVP+pUF0tehKRO0VERaSGm+c15nhO1Ev7+eefZ9myZbz22muuDiJoTCwoyXwUYSEi9YBuwEavYzGlR6Bhx+fPn88jjzxic0uYUivqEgXwb+AunCFCjImECy64gB07drBxY+HfJ9nZ2Vx11VU2t4Qp1aIqUYhIP2Czqn5XjH1HikiGiGTk5OREIDoTzxISEujWrRvp6ekF22xuCWN8It5TSEQ+Bk4v4q17gXvwFTudkKpOACaAb85s1wI0pVZKSgrTp08H/phbol27dja3hCn1Ip4oVLVrUdtFpCXQEPjOqSysCywTkbaqui2CIZpSqnv37owaNQr4Y26JSZMmWeW1KfWiZuwBVc0Eaua/FpH1QHJRnfyMCYdff/2VgwcPAvDggw+yePHi484tYUxpElV1FMZ4qU+fPgWJ4siRIwwfPtzjiIyJDlHzRHE0VW3gdQymdMnKykLVV92lqmRlZXkckTHRwZ4ojHEkJSWRkOD7J5GQkEBSUpLHERkTHSxRGONIS0ujadOmADRt2pS0tDSPIzImOkRt0ZMxkdaoUSNWrlyJiLBy5UqvwzEmatgThTHGmIAsURhjjAnIEoUxxpiALFEYY4wJyBKFMcaYgCxRGGOMCcgShTHGmIAsURhjjAnIEoUxRxk7dqzXIRgTVSxRGHOUcePGeR2CMVHFEoUxxpiALFEYY4wJyBKFMcaYgKIuUYjIKBFZLSIrReQJr+MxxpjSLqqGGReRLkA/oJWqHhSRmic6xhhjTHhF2xPFTcBjqnoQQFV3eByPMcaUetGWKM4GLhaRr0TkMxFp43VAxhhT2kW86ElEPgZOL+Kte/HFUx1oD7QB3hORRpo/433h84wERgLUr18/fAEbY0wpJ0V8B3tGROYCj6vqp87rtUB7Vc05wXH7gKwIhOiFGsBOr4MIE7u32BOv9wWl897OVNXEEx0cVZXZwHSgC/CpiJwNlKN4/+OyVDU5rJF5REQy7N5iT7zeW7zeF9i9BRJtieJV4FUR+R44BAwrqtjJGGNM5ERVolDVQ8DVXsdhjDHmD9HW6ilUE7wOIIzs3mJTvN5bvN4X2L0dV1RVZhtjjIk+8fJEYYwxJkxiOlGISIqIZInIjyLyT6/jKSkReVVEdjiV+fnbqovIPBFZ4/yt5mWMoRCReiLyqYj84IzhdbuzPR7u7WQR+VpEvnPubbyzvaHTcfRHEXlXRMp5HWuoRKSMiHwrIrOc13FxbyKyXkQyRWS5iGQ422L+MwkgIlVFZKozbt4qEbmwJPcWs4lCRMoALwA9gGbAlSLSzNuoSux1IOWobf8E5qtqE2C+8zrW5AJ3qmozfJ0pb3H+X8XDvR0ELlXVVkBrIEVE2gOPA/9W1bOAPcAID2MsqduBVX6v4+neuqhqa7+mo/HwmQR4Fpirqk2BVvj+/4V+b6oakwtwIZDu9/pu4G6v43LhvhoA3/u9zgJqO+u18fUZ8TzOEt7jDOBP8XZvQAVgGdAOX/+fss72Qp/VWFqAus6XyqXALEDi6N7WAzWO2hbzn0mgCrAOpw7ajXuL2ScKoA7wk9/rTc62eFNLVbc669uAWl4GU1Ii0gA4D/iKOLk3p2hmObADmAesBX5W1Vxnl1j+bD4D3AXkOa9PI37uTYGPRGSpMyQQxMdnsiGQA7zmFBm+IiIVKcG9xXKiKHXU91MgZpupiUglYBpwh6ru9X8vlu9NVY+oamt8v77bAk09DskVItIb2KGqS72OJUw6qur5+IqvbxGRTv5vxvBnsixwPvAfVT0P2M9RxUzB3lssJ4rNQD2/13WdbfFmu4jUBnD+xuTQ6yJyEr4k8Y6qvu9sjot7y6eqPwOf4iuOqSoi+R1aY/Wz2QHoKyLrgcn4ip+eJT7uDVXd7PzdAXyAL8nHw2dyE7BJVb9yXk/FlzhCvrdYThTfAE2cFhjlgCuAmR7HFA4zgWHO+jB85fsxRUQEmAisUtWn/d6Kh3tLFJGqzvop+OpeVuFLGAOd3WLy3lT1blWtq6oN8P37+kRVryIO7k1EKopI5fx1oBvwPXHwmVTVbcBPIpLkbLoM+IGS3JvXFS8lrLTpCfwPX5nwvV7H48L9TAK2Aofx/SoYga9MeD6wBvgYqO51nCHcV0d8j7krgOXO0jNO7u1c4Fvn3r4HHnC2NwK+Bn4EpgDlvY61hPd5CTArXu7NuYfvnGVl/vdHPHwmnftoDWQ4n8vpQLWS3Jv1zDbGGBNQLBc9GWOMiQBLFMYYYwKyRGGMMSYgSxTGGGMCskRhjDEmIEsUJmaISAP/kXU9iuESEbnIyxiKQ0QWiEhczv9sIs8ShTHBuQSI+kRREn69ro0BLFGY2FNWRN5xxtifKiIVAETkARH5RkS+F5EJTm9wROQ2Zx6MFSIy2dlW0Zn742tn0LR+RV3o6GOdAQ1vBP7mzGFwsdMze5pz7W9EpINz7DgReUtEljjj/19fxPkbOPfxsjOXxUdO7+5CTwQiUsMZRgMRuUZEpjvzCawXkVtF5O/OfXwpItX9LjHUifN7EWkb6N6d884UkU/wdcoy5g9e9yC0xZbiLviGYFegg/P6VWC0s17db7+3gD7O+hacnsNAVefvI8DV+dvw9e6vWMT1ijp2XP41ndf/xTe4HEB9fMOU5O/3HXAKUAPfSMdnFHE/uUBr5/V7fnEtAJKd9RrAemf9Gnw9oisDicAvwI3Oe//GN+Bi/vEvO+udcIauP969O+fdRIz2RLYlvIs9UZhY85Oqfu6sv41veBCALuKbdS0T3+B1zZ3tK4B3RORqfF/K4BvX55/O0OALgJPxfckfrahjj9YV+D/nXDOBU51RcgFmqOrvqroT3/hIbYs4fp2qLnfWl+JLHifyqaruU9UcfIkizdmeedTxkwBUdaETV1UC3/s8Vd1djOubUsbKIk2sOXrMGRWRk4EX8f0C/0lExuH7AgTohe8XdR/gXhFpiW/ynQGqmuV/IhF5Dd9cGVtUtedxjj1aAtBeVQ8cda4iYy3i+IN+60fwPYGALzHl/5A7mcL8j8nze51H4X/TRV3/ePfeDt9w1MYcw54oTKypLyIXOutDgMX88UW60/k1PxBARBKAeqr6KfAPfDN/VQLSgVF+9RjnAajqteqbFrNngGP34Sv2yfcRMCr/hYi09nuvn/jm1D4NXyX4N0Hc53rgAmd9YID9AhnsxNQR+EVVf+E4925MIJYoTKzJwjfJzCp8I2L+R33zQLyMb/TWdP74Qi4DvO0UR30LPOfs+yBwErBCRFY6r492vGPTgD/nV2YDtwHJToX3D/gqu/OtwFfk9CXwoKpuCeI+nwRuEpFv8dVRhOKAc/xL/DGvdXHu3ZhCbPRYY8LAKf76VVWf9DoWY0rKniiMMcYEZE8UxhhjArInCmOMMQFZojDGGBOQJQpjjDEBWaIwxhgTkCUKY4wxAVmiMMYYE9D/BzDemtlKma2iAAAAAElFTkSuQmCCn”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537d268048>”

]

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

}, {

“data”: {

“image/png”: “iVBORw0KGgoAAAANSUhEUgAAAZMAAAEKCAYAAADXdbjqAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvAOZPmwAAIABJREFUeJzt3Xd8FVX6+PHPk4SqSEvogRiqoIKKErsUv6uurLo27Lp+QUTFyoK6C0FE1+/Pgn5dC65+cRVdWWyAuBYUdinSQUoSgRAM1VAEpJM8vz/u3HgTUm6ZW/O8X695Ze7cuWeegUmee86ZOUdUFWOMMSYUSdEOwBhjTPyzZGKMMSZklkyMMcaEzJKJMcaYkFkyMcYYEzJLJsYYY0JmycQYY0zILJkYY4wJmSUTY4wxIUuJdgCRkpqaqhkZGdEOwxhj4srixYu3q2padfvVmGSSkZHBokWLoh2GMcbEFRHZ4M9+1sxljDEmZJZMjDHGhMySiTHGmJDFXDIRkboiskBElovIKhEZXcE+dUTkAxFZKyLzRSQj8pEaY4zxirlkAhwC+qhqd6AHcImIZJXb505gl6p2AF4AnolwjMYYY3zEXDJRj1+cl7WcpfwMXlcAbzvrk4G+IiIRCtEYY0w5MZdMAEQkWUSWAT8BX6nq/HK7tAYKAVT1KLAbaBrZKI0xxnjFZDJR1WJV7QG0Ac4SkZODKUdEBonIIhFZVFRU5G6QxhhjSsVkMvFS1Z+Bb4FLyr21CUgHEJEUoCGwo4LPj1fVnqraMy2t2gc4jTExIjs7O9ohmADFXDIRkTQRaeSs1wMuBnLL7TYFuM1Zvwb4RlXL96sYY+LU6NHH3MRpYlwsDqfSEnhbRJLxJLtJqjpNRJ4AFqnqFOBN4B0RWQvsBAZEL1xjjDExl0xU9XvgtAq2j/RZPwhcG8m4jDHGVC7mmrmMMcbEH0smxhhjQmbJxBhjTMgsmRhjjAmZJRNjjDEhs2RijDEmZJZMjDHGhMySiTHGmJBZMjHGGBMySybGGGNCZsnEGGNMyCyZGGOMCZklE2OMMSGzZGKMMSZklkyMMcaEzJKJMcaYkMVcMhGRdBH5VkRWi8gqEbm/gn0uEpHdIrLMWUZWVJYxxpjICHqmRRE5DjioqsUuxgNwFHhYVZeISANgsYh8paqry+33H1W93OVjG2OMCYLfNRMRSRKRG0XkMxH5CcgFtjg1iP8nIh3cCEhVt6jqEmd9L5ADtHajbGNMbMvPz6dbt24AdOvWjfz8/ChHZPwVSDPXt0B74FGghaqmq2oz4DzgO+AZEbnZzeBEJAPPfPDzK3j7bBFZLiKfi0g3N49rjImO/v37k5ubC0Bubi79+/ePckTGX6Kq/u0oUktVj4S6j9+BiRwPzALGqupH5d47AShR1V9E5DLgRVXtWEEZg4BBAG3btj1jw4YNboRmjAmTlJQUiot/bTlPTk7m6NGjUYzIiMhiVe1Z3X5+10yqShIi0qi6fQIhIrWAD4GJ5ROJc5w9qvqLsz4dqCUiqRXsN15Ve6pqz7S0NDdCM8aEUefOnRERAJKSkujcuXOUIzL+qjaZiMgZIjJKRBqLSAMRyRKRO0XkeRH5QkQ2AQVuBSSeK+lNIEdVn69knxbOfojIWc557HArBmNMdEydOhXvF79WrVoxderUKEdk/OVPzeR1YBrwI5AHjAF6AGuBU4DTVLWRizGdC9wC9PG59fcyERksIoOdfa4BVorIcuAlYID6215njIlZmZmZ/OY3vwFg6NChZGZmRjki4y9/bg2eCwwDlgD1gTdUdRKAiAxT1Z/cDEhVZwNSzT4vAy+7eVxjTGxYvdrzFMC6deuiHIkJRLXJRFWHikh9Vd0vIk2AP4nIg8ATgNUGjDGuKSkpKb2ba+3atVGOxgTCrw54Vd3v/Nypqg8BA4AbgeYi0juM8RljapDCwkIaNmwIWM0k3gQ1nIqqblDVW/D0bwwXkVnuhmWMqYlycnLo2rUrAJs3b+bw4cNRjsj4K5An4I/px1DVZap6CZBd2T7GGOOv1atXc9JJJwHQpk0bCgoKohuQ8VtAT8CLyH0i0tZ3o4jUBpJE5G3gNlejM8bUKKtXry6tmbRv396auuJIIMnkEqAYeF9ENjtjcuUDa/D0oYxT1QlhiNEYU0Pk5OSU1kw6dOhgnfBxxO9Rg1X1IPAK8IrzhHoqcEBVfw5XcMaYmkNVrWYSx4LtgD/ijO5ricQY44pt27aRkpJS+gS8JZP4EnOTYxljaibfznewZq54Y8nEGBMTfG8LBs/QKgUFBZSUlEQxKuOvgJOJiDzjzzZjjAlE+ZpJ/fr1ady4MZs2bYpiVMZfwdRMLq5g26WhBmKMqdl8O9+9rKkrfgTy0OLdIrIC6Cwi3/ss64EV4QvRGFMT+N4W7GWd8PHD71uDgfeAz4GngRE+2/eq6k5XozLG1Cg7d+5k//79tG7dusx2SybxI5DnTHYDu0XkDuD3QIb38yKCqj4RlgiNMQnP2/lefkSmDh068OGHH0YpKhOIQGomXp8Au4HFwCF3wzHG1ETlO9+9rGYSP4JJJm2cwR3DQkTSgb8DzfHMlzJeVV8st48ALwKXAfuB21V1SbhiMsaEV/nbgr3at2/P2rVrUdVjai0mtgRzN9dcETnF9Uh+dRR4WFW7AlnAPSJS/iq7FOjoLIOAV8MYjzEmzCqrmTRp0oSUlBS2b98ehahMIIJJJucBS0Qkz7mba4WIfO9WQM4wLUuc9b1ADtC63G5XAH9Xj++ARiLS0q0YjDGRVdFtwV7W1BUfgmnmitgzJSKSAZwGzC/3Vmug0Of1RmfblogEZoxxzd69e9m+fTvt2rUr3TZq1KjSde+zJllZWdEIz/gpmJrJj8D5wG2qugFPv0ZzV6MCROR44EPgAVXdE2QZg0RkkYgsKioqcjdAY4wrcnNz6dy5M8nJyaXbsrOzS9etZhIfgkkmrwBnAzc4r/cCf3UtIsAZ4v5DYKKqflTBLpuAdJ/XbZxtZajqeFXtqao9vSORGmNiS2Wd716WTOJDMMmkl6reAxwEUNVdQG23AnLu1HoTyFHV5yvZbQpwq3hkAbtV1Zq4jIlDlXW+e9mQKvEhmD6TIyKSjKd5CxFJA9wc1vNc4BZghYgsc7Y9BrQFUNXXgOl4bgtei+fW4DtcPL4xJoJycnK47bbKZ/y2mkl8CCaZvAR8DDQTkbHANcCf3ApIVWcDVd5QrqoK3OPWMY0x0VNdzaRly5bs3buXvXv30qBBgwhGZgIRcDJR1Ykishjoi+eP/pWqmuN6ZMaYhHfw4EEKCwvp0KFDpfuISGntpEePHhGMzgQimJoJqpoL5LocizGmhvnhhx/IzMykVq1aVe5nyST2BZxMRKQn8DjQzvm84Gl5OtXl2IwxCa6qhxV9Wb9J7AumZjIRGIZnDhObT9MYE7SK5jCpSIcOHVi6dGkEIjLBCubW4CJVnaKq61V1g3dxPTJjTMKzmkniCKZmMkpE/gbMwGcI+koeLjTGmEpV98Cil3f0YBO7gkkmdwBdgFr82sylgCUTY4zfjhw5wrp16+jUqVO1+7Zr146tW7dy6NAh6tSpE4HoTKCCSSZnqmpn1yMxxtQo69ato3Xr1tSrV6/afVNSUkhPT6egoIDOne3PTywKdj6T6uulxhhTBX87372sqSu2BVMzyQKWich6PH0mdmuwMSZg/na+e3Xo0ME64WNYMMkkbFP2GmNqjpycHPr16+f3/nZHV2yL2flMjDGJLZiaiTVzxa6YnM/EGJPYSkpKyMvLC7jPxGomsSuYZq5eqnq6iCwFz3wmIuLafCbGmMS3YcMGmjRpEtAowJmZmRQUFFBcXFxmVkYTG4KpmYR7PhNjTIILtIkLoF69eqSmprJx48YwRWVCEUwyKT+fyWzgKVejMsYktEBvC/aypq7YFXAyUdWJwB+Bp4EteOYz+aebQYnIWyLyk4isrOT9i0Rkt4gsc5aRbh7fGBNewdRMwJJJLIvV+UwmAC8Df69in/+o6uVhjMEYEyY5OTnccUfgs23bHV2xK+CaiYi8LSKNfF43FpG33AxKVf8N7HSzTGNMbFBVq5kkoGD6TE5V1Z+9L1R1F3CaeyH57WwRWS4in4tItygc3xgThC1btlC3bl2aNm0a8GctmcSuYJJJkog09r4QkSYE2VwWgiVAO1XtDvwv8ElFO4nIIBFZJCKLioqKIhqgMaZiq1evDqrzHX4dn0tVXY7KhCqYZPIcME9ExojIk8Bc4H/cDatqqrpHVX9x1qcDtUQktYL9xqtqT1XtmZaWFskQjTGVCLaJC6Bx48bUrl0b+3IYe4K5m+vvwO+BbcBW4Peq+o7bgVVFRFqIiDjrZ+E5jx2RjMEYE5xgbwv2stGDY1MwNRPw3BK8APgeSBWRC9wLCUTkfWAe0FlENorInSIyWEQGO7tcA6wUkeV4nnsZoFbvNSYuhFIzARs9OFYF3NchIv8N3A+0AZbhGZJ+HtDHraBU9YZq3n8Zz63Dxpg440bNxJJJ7AmmZnI/cCawQVV747mT6+eqP2KMMbB9+3YOHz5My5Ytgy7DnjWJTcEkk4OqehBAROo4DzDaPJrGuCQ7OzvaIYSNt1bidHkGxWomsSmYZLLReWjxE+ArEfkU2OBuWMbUXKNHj452CGETan8JWDKJVQH3majqVc5qtoh8CzQE/uVqVMaYhORGMmnRogX79u1jz549nHDCCS5FZkIV7N1cAKjqLFWdoqqH3QrIGJO4Qu18BxARq53EIL+TiYjsFZE9zrLX5/VeEdkTziCNMYnBjZoJWFNXLPK7mUtV/Z8SzRhjytmzZw+7du2ibdu2IZdld3TFnmCeM6kLDAHOwzPb4n+A17x3eBljTEVycnLo0qULSUkhta4DnprJ4sWLXYjKuCWY/9W/A93wDLD4srMe0eFUjDHxx43+Ei9r5oo9wYz2e7Kq+jZ6fisiq90KyBiTmNzqLwFr5opFwdRMlohIlveFiPQCFrkXkjEmEeXk5LiWTNLT0/npp584eNBa12NFMMnkDGCuiBSISAGecbnOFJEVIvK9q9EZYxJGKPOYlJeSkkJ6ejrr1693pTwTumCauS5xPQpjTEI7cOAAmzdvpn379q6V6R092K0EZUITTM3kLGCnqm4AbgFeAJqq6gZnmzHGlJGXl0f79u1JSXFvUlbrhI8twSSTP6vqXhE5D+gHvAm86m5YxtQ8+fn5dOvWDYBu3bqRn58f5Yjc42bnu5d1wseWYJJJsfPzt8B4Vf0MqO1eSMbUTP379ycnJweA3Nxc+vfvH+WI3OPmbcFeVjOJLcEkk00i8jpwPTBdROoEWU6lROQtEflJRFZW8r6IyEsislZEvheR0908vjHRkJeXh3fC0JKSEvLy8qIckXvCUTOxZBJbgkkC1wFfAL9R1Z+BJsAwV6OCCVTd0X8p0NFZBmHNbCYBNGvWrHQ9KSmJzp0TZ5ogN28L9srMzGTDhg0UFxdXv7MJu4CTiaruV9WPVHWN83qLqn7pZlCq+m9gZxW7XAH8XT2+AxqJSPBTtxkTA04//XRatWoFQKNGjZg6dWqUI3LH4cOHyc/Pp1OnTq6WW7duXdLS0igsLHS1XBOcQEYNnu38LDNacJRGDW4N+F5BG51txsSlkpISFixYwLx58wBQVerUqRPlqNyxdu1a2rZtG5bzsaau2OF3MlHV85yfDVT1hPI/wxdi8ERkkIgsEpFFRUVF0Q7HmEqtXLmShg0blo6oe+edd/L0009HOSp3hKPz3cvu6Iodft/0LSIPVfW+qj4fejh+2wSk+7xu42wrQ1XHA+MBevbsqZEJzZjAff311/Tt27f09bBhw+jSpQt//OMfXRmyPZrC0fnuZTWT2BFIn0kDZ+kJ3I2nWak1MBiI9N1UU4Bbnbu6soDdqrolwjEY45oZM2aUSSbNmjVj0KBBPPXUU1GMyh3hrJlYMokdgTRzjVbV0XhqAaer6sOq+jCesbpc/eokIu/jGfOrs4hsFJE7RWSwiAx2dpkO5ANrgTfwzK9iTFw6cuQIs2fPpnfv3mW2P/LII/zzn/+koKAgOoG5JJw1E2vmih3BjG3QHPCd8/2ws801qnpDNe8rcI+bxzQmWhYsWEBmZiapqalltqempjJ48GDGjh3LG2+8EaXoQlNcXMwPP/xAly5dwlK+t2aiqohIWI5h/BPs5FgLRCRbRLKB+XieCzHGBKF8E5evhx9+mI8++ihuh1YpKCggLS2N448/PizlN2zYkLp167Jt27awlG/8F8xzJmOBO4BdznKHqibGbSfGREFVyaRJkybce++9PPnkkxGOyh3hbOLy8o4ebKIrqGFQVHWJqr4IfKCqS12OyZgaY9++fSxevJjzzz+/0n0efPBBpkyZwpo1ayIYmTvC2fnuZZ3wsSHUMbWmuxKFMTXU7NmzOe2006psBmrUqBFDhw5lzJgxEYzMHZGombRv39464WNAqMnEeryMCcGMGTPo169ftfvdf//9fP7553E3+GMkaibWzBUbQk0m8XmLiTExoqL+klGjRh2zX8OGDXnwwQd54oknIhVayFTVmrlqEPEOeV3tjiLTgSGqWhDWiMKkZ8+eumjRomiHYUypnTt3kpGRwfbt26ldu/opgfbu3Uv79u2ZOXNm2JuO3LBx40Z69uzJ1q1bw3qcbdu20a1bN7Zv3x7W49RUIrJYVXtWt18gNZP/A74UkcdFpFbwoRljAL799lvOO+88vxIJQIMGDXj44YcZPXp0mCNzRyT6S8AzWsChQ4fYvXt32I9lKhfIE/D/xDNsygnAIhF5REQe8i5hi9CYBFXVLcGVueeee5g1axYrVqwIU1TuiVQyEREyMzOtqSvKAu0zOQzsA+rw61hd3sUYE4Bgksnxxx/PI488Ehe1k0j0l3jZsCrRF8h8JpcAy4D6eMbmGuUdr8sZs8sY46eNGzeyc+dOTj311IA/O2TIEObMmcOyZcvCEJl7IlUzAeuEjwWB1EweB65V1RGquj9cARlTE8yYMYPevXuTlBT4DZX169dn+PDhMV07UVVWr14dsZqJJZPoC6TP5HxVXRXOYIypKYJp4vJ11113sWDBAhYvXuxiVO4pKipCVWne3NUxYCtlzVzRF+pzJsaYAKlqyMmkXr16jBgxguzsbPcCc5G3vyRSI/lazST6LJkYE2F5eXmkpKTQvn37kMoZOHAgy5YtY+HChS5F5p5I9pcApKenU1RUxIEDByJ2TFOWJRNjIsw7RW+o39rr1q3LY489VuET89EW6WSSnJxMu3btWL9+fcSOacoKOJmISB0RuVFEHhORkd7FzaBE5BIRyRORtSIyooL3bxeRIhFZ5iz/7ebxjQmnUJu4fP3hD39g1apVzJs3z5Xy3BLJ24K9rKkruoKpmXwKXAEcxfPMiXdxhYgkA38FLgW6AjeISEVfcT5Q1R7O8je3jm+iJ1bb/91UXFzMzJkz6dOnjyvl1alTh8cffzzmaieRrpmAjR4cbcEkkzaqer2q/o+qPuddXIzpLGCtquar6mHgH3iSl0lwsXyrq1uWLFlCq1ataNmypWtl3n777axZs4bZs2e7VmYofv75Z/bs2UN6enpEj2ujB0dXMMlkroic4nokv2oNFPq83uhsK+9qEfleRCaLSGSvWmOC5GYTl1ft2rX505/+FDO1k0jfyeVlzVzRFUwyOQ9Y4vRpfC8iK0Tke7cDq8ZUIENVTwW+At6uaCcRGSQii0RkUVFRUUQDNKYi4UgmALfeeisFBQXMmjXL9bIDFY3+ErBnTaItmGRyCdABuBi4HPit89MtmwDfmkYbZ1spVd2hqoecl38DzqioIFUdr6o9VbVnWlqaiyEaE7iDBw/y3XffceGFF7pedq1atRg5ciQjR47E32klwiUa/SUAJ554IoWFhRw9ejTixzaBjc3lbZBdBawAVjrLKuenWxYCHUXkRBGpDQwAppSLxbfB+XdAjovHNyYs5s2bR9euXWnUqFFYyr/pppvYsmUL3377bVjK91ckh1HxVadOHZo1a0ZhYWH1OxvXBTKcynnOzwaqeoLP0kBVT3ArIFU9CtwLfIEnSUxS1VUi8oSI/M7ZbaiIrBKR5cBQ4Ha3jm9MuISricsrJSUlJmonOTk5UZu8y5q6oicmH1pU1emq2klV26vqWGfbSFWd4qw/qqrdVLW7qvZW1dzoRmxM9cKdTABuuOEGtm/fztdffx3W41Rm3759bN26lRNPPDEqx7dO+OiJyWRiTKLZs2cPK1eu5Nxzzw3rcZKTkxk1alTUaid5eXl07NiRlJSUiB8bLJlEkyUTYyJg1qxZ9OrVi7p164b9WNdddx179uzhX//6V9iPVV60Ot+9rJkreiyZGBMBkWji8kpOTiY7OzsqtZNo3RbsZTWT6InJsbmMSTSRTCYAV199NYcOHeKzzz6L2DEh+jUTbzKJ9u3RNVHMjc1lTKLZtm0bGzdu5IwzKnwcKiySkpKiUjuJ1m3BXieccALHHXccW7dujVoMNVUsjs1lTEL55ptvuPDCC0lOTo7oca+88kpUlU8//RQI/0Cahw4dYsOGDXTs2DGsx6mONXVFRyyOzWVMQol0E5dXUlISo0ePJjs7m5KSkrAPpLlmzRoyMjKoU6dOWI9TnUQaPTieRtIOdmyuxVEem8uYuKCqpZNhRUP//v0pLi6mXbt2AHTr1o38/PywHCvane9eiTR6cDyNpB3MzeCXuh6FMQkqPz+fw4cPR+2PrIiwe/duNm7cCEBubi79+/dn1apVrh8r2p3vXu3bt+fzzz+Pdhg1TsA1E1XdADQC+jtLI2ebCVI8VWVNYGbMmEGfPn0iPhy7r82bN5eul5SUkJeXF5bjxErNJJGaueJJMLcG3w9MBJo5y7sicp/bgdUk8VSVNYGJVn+Jr86dO5OU9Ouverg6yGOlZhKNZi77Qhhcn8mdQC9nrKyRQBYw0N2waob8/Hy6desGhLct20RHSUkJ33zzTdSTydSpU+nSpQsAjRo1on79+uzevdvVYxw9epQ1a9bQuXNnV8sNRlpaGocPH2bXrl0RO6Z9IQwumQhQ7PO62NlmAtS/f39ycjyj53vbsk3iWLFiBY0aNaJt27ZRjSMzM7O0j2THjh2cc8459O3blx07drhSfnZ2NuvXr6dFixYcd9xxrpQZChFJqE74eBFMMvk/YL6IZItINvAd8KarUdUQeXl5pQ+UhbMtO9Ylag0tFpq4fI0aNYqkpCReeukl+vbtS+/evdm2bVvI5Y4ePTpmmri87FmTyAumA/554A/ATme5Q1XHuR1YTVC+Lbt+/frs3bs3ihFFx+WXX87q1auBxKqhxVoy8bbriwh/+ctfuPrqq7nwwgvZtGlT1R/0Q6x0vntZMom8oAZ6VNXFqvqSsyx1O6iawrct+6STTuLSSy8lKyuLNWvWRDmyyDl69Ci5ub9OR5MoNbQjR44we/ZsevfuHe1QKiQijBo1ijvvvJMLLriAgoKCkMqLtZqJjR4ceQFP2ysie0Vkj8+yV0T2uBmUiFziPBS5VkRGVPB+HRH5wHl/vohkuHn8SPFty169ejUffPABQ4cO5dxzz2X69OlRji78SkpKuP3226lfv36ZGtoJJ5wQ9/N4L1iwgMzMTFJTU6MdSpWGDRvGgw8+yIUXXhjSlxirmZiYm7ZXRJKBv+J5OLIrcIOIlP/KcyewS1U7AC8Az7h1/GgYNWpU6fpdd93Fxx9/zMCBAxk7dmzCjn6qqtx9991s2rSJBQsWlNbQunTpwimnnMLll1/u+h1HkRRrTVxVuffeexk1ahQXXXRR0A8zxmIyieeaSVz2I6pqQAvwjD/bgl2As4EvfF4/Cjxabp8vgLOd9RRgOyBVlXvGGWdoPNm0aZNmZWXp73//e92zZ0+0w3FVSUmJPvjgg9qrV68y5+a5HFWPHDmi9957r3bt2lXz8/OjFWZILrjgAp0+fXq0wwjIe++9py1atNAlS5YE9DlAW7ZsGaaognP06FGtU6eO7t+/PyLH8167oTh69Kj+8MMP+vHHH2uzZs0UUECTkpK0a9euLkQZHGCR+vG3O5jhVC4GhpfbdmkF24LVGij0eb0R6FXZPqp6VER2A03xJJUK5eXlcdFFF5XZdt111zFkyBD279/PZZdddsxnbr/9dm6//Xa2b9/ONddcc8z7d999N9dffz2FhYXccsstx7z/8MMP079/f/Ly8rjrrruOef9Pf/oT/fr1Y9myZTzwwAPHvP/0008zceJETj31VNLS0qhfv36Z98eNG0ePHj34+uuvefLJJ4/5/Ouvv07nzp2ZOnUqzz137MDO77zzDunp6XzwwQe8+uqrx7w/efJkUlNTmTBhAhMmTDjm/enTp1O/fn1eeeUVJk2adMz7M2fOBODZZ59l2rRppdsLCgrYuXMnGzZsoEGDBowZM4YZM2YAlP4fNW3alMGDB3POOefQr18/CgsLy5Tdpk0b3n33XQAeeOABli1bVub9Tp06MX78eADOOOMMGjRoUOb9Hj16MG6c576Rm2++uXS4Ea+zzz6bp59+GvDMDVL+Ntq+ffvy5z//GYBLL72UAwcOlL5XXFzMggULOP/888uck69YvfaaNm1Kr169ePnllxk0aBBz587lscceO+bzvtcewIEDB8qcZyxcexkZGfz5z39m0aJFZd6rV69e6XArvtee77/Bhx9+CMCjjz7KvHnzyrxf2bXnPX/fa2/QoEH88MMPZT7fvXt3HnjgAVauXMnIkSPZvHkz+/fvZ//+/dSqVYs2bdpQVFRUun9JSQmrV68uLb+qaw88N7Q88sgjZWLyFeq1Vxm/k4mI3A0MATLLDezYAJjr9xEjSEQGAYOAqI9kGozatWvzxhtvMHz4cF544QU6d+5M06ZNox1WSH788UeKioro1asXjRs3rnLf++67jw4dOnDNNdfQtm1bmjdvHtQxlyxZwoUXXhjUZ4Oxe/duWrduzfHHHx+xY7olNTUVEWH48OF07tyZWrVq+fW58l90YkH79u3Zvr3S75eu2L17NwsXLgRg4cKFnHzyyaXvqSq//PILO3bsYP/+/ezbt4/9+/czd+5cPvroI7p168bBgwdp1KgRrVuwbs/RAAAWz0lEQVS3pn79+qSkpHD22WczZcoUcnNzKSkpAWLz3/cY/lRfPDUdGgIZwPtAO5+lib9l+Hkca+aqwJw5c7R169b65JNPanFxcbTDCcpf//pXzczM1I0bN1b4PpU0FaxYsULbtWunI0eO1JKSkoCPW1m54TJs2DAdNWpURI/pthkzZmhqaqr+61//qnZfQF955ZUIRBWYoUOH6nPPPRfWY3Tt2lWTkpIUUBHR5s2b65133qlZWVnaoEEDbdGihfbt21eHDh2q48eP1zlz5uiuXbuqLXfdunXatWtXBbRr1666bt26sJ5HVfCzmSvYP/iNgbOAC7xLMOVUUnYKkA+cCNQGlgPdyu1zD/Casz4AmFRdufGeTFR/7Ue56qqr4q4fZcKECZqenl5lH0hVf/S3bt2qWVlZOmDAgIDbwSOdTE4//XT9z3/+E9FjhsPs2bM1LS1NP/300yr3A3TmzJkRisp/L774og4ZMiSsx0hOTi7t2/AmlFdeeUVnzZql27dvD7n8SF+7lcQQnmQC/DewAtgFfAscAL4JtJxqjnEZ8AOwDnjc2fYE8DtnvS7wT2AtsADIrK7MREgmqqoHDx7UgQMH6kknnaR5eXnRDscvkyZN0pYtW2pubm6V+1X3i7N//34dMGCAZmVl6datW/0+fiR/IXfs2KENGjTQQ4cOReyY4bRw4UJt3ry5/uMf/6jw/ZKSEgV027ZtEY6setOmTdP/+q//CusxOnXqFNaO8kRPJiucP+bLnNddgI8CLSfSS6IkE6/XX39d09LSdNq0adEOpUrTpk3TZs2a6fLly6vd159fnJKSEh01apRmZGToihUr/Iohkr+QkydP1ksvvTRix4uE5cuXa8uWLXXChAnHvLdlyxYFgmp+DLfc3Fxt37592MovKSnRPn36aNOmTcPWHJXoyWSh83MZUMdZXxVoOZFeEi2ZqHr6UVq1aqVjxoyJyX6UGTNmaFpams6fP9+v/QP5xZk4caKmpaXpZ5995mq5obr77rv12WefjdjxIiUnJ0fbtGmjr776apntM2bMiIk/eBU5ePCg1q5dWw8fPhyW8sePH689evTQQ4cOhe3fIBb+bcOZTD7GMzlWNvBv4FNgeqDlRHpJxGSiWnU/SjQ7gefMmaNpaWk6a9Ysvz8T6C/OnDlztEWLFvrSSy+5Wm4oOnXqpEuXLo3Y8SJp7dq1mpGRoc8//3zptpdffjkm/uBVpl27drp27VrXy12zZo02bdpUV65cqarhu8Zi4d82rB3wpR+GC4HfAbVDKScSS6ImE1XPN7BBgwYd048SrQtx8eLF2qxZM7/uBPIVTLz5+fnatWtXveeee/TIkSOulRuMH3/8UVNTU2OyluiWH3/8UTt27KhPPvmkqqoOGTIkJv7gVaZPnz76xRdfuFrmkSNHtFevXvrCCy+UbrNkosEN9OilqrNUdYqqHg6lHBOaOnXq8Prrr/PAAw9w3nnn8eabb0ZtKIZVq1bx29/+ltdee43f/OY3YT/eiSeeyNy5c1m7dm3Uh2CZMWMGvXv3LjPOWKJJT09n1qxZvPfeewwZMqT0gcJYHfIjHGN0PfXUUxx//PEMHTrU1XLjnj8Zx5OcmO383Avs8Vn2Anv8LSdaSyLXTHzNnTtXU1JSVEQiPhTDmjVrtHXr1vruu+8G9XlC+BZ25MgRveeeeyocgiWUcgNx880362uvvRaRY0VbUVGR1qlTJ2aG/KjMM888ow899JBr5S1YsEDT0tK0sLCwzPZwXWORunariSH8zVzxtNSUZKJ67L3vSUlJrt5tU1FfzIYNGzQjI0PHjx8fdLlu/OK89NJL2qJFC50zZ46r5VanpKREW7ZsqWvWrAn7sWJF+essOTk52iEdY/LkyXrFFVe4UtYvv/yinTp1qvA2aUsmQTRzichDItIq2JqQCT/fSbdEhJSUFDIyMnjkkUeYP3++t6YZtPLzXW/dupV+/fpx//33M3DgwJDKDtV9993Hm2++yZVXXsm4ceMi1tyXm5tLrVq1aN++fdiOEWt8r7OkpKSYmP+9PDdHDx42bBhnnnkm119/vSvlJRx/Mo7vAowCVgH/Ae4FmgdaRjSWmlQzKT8Uw9q1a3XFihU6cuRI7dy5s7Zr104feeQRnT9/fsjDk2zfvl1PPvlkHTNmTMhx4+K3sO+//15r1aoVsea+//3f/9U77rgjbOXHolga8qMye/bs0Xr16oVcM//ss8+0bdu2lQ6F4ua16ysWhuXBz5qJaJDfUkXkVOB64Gpgo6r2CzGvhVXPnj21/OihiU5EjqmFqCorV65k0qRJTJo0icOHD3Pttddy7bXX0rNnT0TE73J3795N37596devH08//bRfnw003lCkpKRQXFxc+jo5OTlsk25dddVVXHPNNdx0001hKT+Wuf3/5rbmzZuzdOlSWrUKrkGlqKiI7t27895771U4Ci/E/r9BKERksar2rG6/UG47+QnYCuwAmoVQjokgEeGUU05hzJgx5Obm8umnn1K7dm1uuukmMjMzGT58OIsXL672F2Pfvn1cfvnlZGVluZJIwsG3GQY8Q4eHQ3FxMTNnzqRPnz5hKd+EJpSmLlVl0KBB3HjjjZUmEig7wV1NFUyfyRARmQnMwDOHyEBVPdXtwEzoqrvARYRTTz2VJ598kry8PD755BNSUlIYMGAAHTp0YMSIESxZsqTCxHLVVVfRoUMHXnrppZhMJABTp04tncGxbdu27Nu3j9GjR5eprbhhyZIltGrVipYtW7parnFHhw4dgr49eMKECaxbt46xY8dWuV92dnZQ5SeSYGom6cADqtpNVbNVdbXbQRl3BHKBiwjdu3dn7Nix/PDDD0yePJmkpCSuu+46OnbsyKOPPsrUqVPp2tUzg/L8+fN57LHHYvqZiszMzNJpaDds2MDy5cuZNWsW/fr1Y/PmzSGX7/33jacpemuiYJ81yc/P549//CMTJ06My/mQIi2YvwSPAyeLyJ8BRKStiJzlblgmmkSE0047jaeeeoo1a9aUzmR39dVXk5OTA8Avv/zClVde6epxw91U0KpVK7766iv69OnDGWecUTrbXrC8d7VZMoltwTRzFRcXc+uttzJixAhOOeWUMEWWWALugBeRV4ESoI+qniQijYEvVfXMcATolprYAe+2SHZou6miztF///vf3HTTTQwYMICxY8dSu3btoMo9cOAAaWlpFBYW0qhRI7dCjiux3vn83Xffcd9995XOiOiPp556iq+//pqvv/46pmvfkRDODvheqnoPcBBAVXfhmcTKJLh4eK7AXxdccAFLly4lJyeH888/n/Xr1wdVzrx58+jatWuNTSTxwLeZy5+m38WLFzNu3DjefvvtGp9IAhHMv9QREUnG89QrIpKGp6ZiEpxvh3aXLl2YOnVqlCMKTWpqKlOnTuX666+nV69eTJ48OeAyrIkr9qWmplJcXMzOnTuPeeC2vP3793PzzTczbtw40tPTIxRhYggmmbyEZxj65iIyFpgNPOVGMCLSRES+EpE1zs/GlexXLCLLnGWKG8c21fPt0F61ahWZmZlRjih0IsJDDz3EZ599xvDhw7n77rs5cOCA35+3ZBL7RMTvTvgRI0bQo0cPbrzxxghEllgCTiaqOhF4Fngd2Axcqar/dCmeEcAMVe2I59bjEZXsd0BVezjL71w6tqnBzjzzTJYsWcKuXbvIysoiNzfXr8+tWLGCc845J8zRmVD5k0y+/PJLPv74Y1555ZUIRZVY/E4m4pEtItuBT4AH8UyQda2L8VwBvO2svw24e7uQMVVo2LAh77//Pvfeey/nn38+b7/9drWfycrKol69ehGIzoSiQ4cOVd7RtWPHDv7whz8wYcIEGjeusEHEVCOQmsmDwLnAmaraRFUbA72Ac0XkQZfiaa6qW5z1rUDzSvarKyKLROQ7EbGEY1wjIgwcOJBvvvmGZ555hltvvZW9e/dWur81ccWHqmomqsrgwYO59tpr7f8zBIEkk1uAG1S19LYXVc0HbgZu9bcQEflaRFZWsFzhu58zwFhl9xu2c25VuxEYJyIVDtUqIoOcpLOoqKjI3xBNNWrC0BGnnHIKCxcupHbt2vTs2ZNly5ZVuJ/98YkPVSWTd955h5ycHJ5++ukIR5Vg/BkN0rmHfGUw7wWyAHlAS2e9JZDnx2cmANdUt19NGjXYlEWII7pOnDhRU1NT9eWXXy4dfXbLli0K6NGjR90IMa6F+u8bCT/++KO2bNnymFjXr1+vqampumzZsihFFvsIw3wmVU3N69a0vVOA25z124BPy+8gIo1FpI6znoqn6c2GdDFhc+ONNzJ37lzeeustrr76anbt2sU333wDeB7cNLGvdevW7Nq1q8w271Puw4YNo3v37lGKLHEEkky6i8ieCpa9gFvjDfwFuFhE1gD9nNeISE8R+Zuzz0nAIhFZDnwL/EVtfDBTBTea5Tp27MjcuXNJT0/n5JNPLp0ELFbnPjdlJSUlkZGRUWbbc889h4jw8MMPRyeoBBP0fCbxxoZTMW5p27YthYWFgOePVJcuXUqfv6mJsrOz42LU3P79+zNt2jRUlWXLlnHxxRezcOHCY5KMKSsS85kYUyP5jjhcUlJCXl5eFKOJvnhIJEDplMoHDx7k5ptv5rnnnrNE4iJLJsYEKJHGKKtJvMnk0Ucf5aSTTuKWW26JckSJxZKJMQFKtDHKaoL8/HyeffZZAF5++WVGjBgRs5O6xSvrMzEmSLE+9Lr5Vbdu3cjNzaWkpAQR4aSTTqrR/VyBsD4TY4xx5OXlUVLiGdxcVWt8P1c4WDIxxiQ86+cKP0smxpiEZ/1c4ZcS7QCMMSbcvHPxiIj1lYSJ1UyMMcaEzJKJMcaYkFkyMcYYEzJLJsYYY0JmycQYY0zILJkYE6SaMOOkMf6yZGJMkOJltFxjIsGSiTHGmJDFVDIRkWtFZJWIlIhIpQOLicglIpInImtFZEQkYzTGGHOsmEomwErg98C/K9tBRJKBvwKXAl2BG0Ska2TCM8YYU5GYGk5FVXOA6uYZOAtYq6r5zr7/AK4AbB54Y4yJklirmfijNVDo83qjs80YY6pkd+CFT8RrJiLyNdCigrceV9VPXT7WIGAQQNu2bd0s2hgTh+wOvPCJeDJR1X4hFrEJSPd53cbZVtGxxgPjwTPTYojHNcYYU4l4bOZaCHQUkRNFpDYwAJgS5ZiMMaZGi6lkIiJXichG4GzgMxH5wtneSkSmA6jqUeBe4AsgB5ikqjZBgTHGRFGs3c31MfBxBds3A5f5vJ4OTI9gaMYYY6oQUzUTY4wx8cmSiTHGmJBZMjHGGBMySybGGGNCJqo14/ELEdkL5EU7jjBJBbZHO4gwsXOLT3Zu8amic2unqmnVfTCm7uYKszxVrXQk4ngmIovs3OKPnVt8snOrmDVzGWOMCZklE2OMMSGrSclkfLQDCCM7t/hk5xaf7NwqUGM64I0xxoRPTaqZGGOMCZMakUwSac54EXlLRH4SkZU+25qIyFcissb52TiaMQZLRNJF5FsRWS0iq0Tkfmd73J+fiNQVkQUistw5t9HO9hNFZL5zbX7gjIQdd0QkWUSWisg053WinFeBiKwQkWUissjZFvfXI4CINBKRySKSKyI5InJ2KOeW8MkkAeeMnwBcUm7bCGCGqnYEZjiv49FR4GFV7QpkAfc4/1eJcH6HgD6q2h3oAVwiIlnAM8ALqtoB2AXcGcUYQ3E/nlG8vRLlvAB6q2oPn1tmE+F6BHgR+JeqdgG64/n/C/7cVDWhFzzD2X/h8/pR4NFoxxXiOWUAK31e5wEtnfWWeJ6piXqcLpznp8DFiXZ+QH1gCdALzwNiKc72MtdqvCx4JqibAfQBpgGSCOflxF4ApJbbFvfXI9AQWI/Tb+7GuSV8zYSaMWd8c1Xd4qxvBZpHMxg3iEgGcBownwQ5P6cpaBnwE/AVsA74WT1z9ED8XpvjgD8CJc7rpiTGeQEo8KWILHamAYfEuB5PBIqA/3OaJ/8mIscRwrnVhGRSo6jnK0Vc36InIscDHwIPqOoe3/fi+fxUtVhVe+D5Jn8W0CXKIYVMRC4HflLVxdGOJUzOU9XT8TST3yMiF/i+GcfXYwpwOvCqqp4G7KNck1ag51YTkonfc8bHsW0i0hLA+flTlOMJmojUwpNIJqrqR87mhDk/AFX9GfgWT/NPIxHxDmsUj9fmucDvRKQA+Aeepq4Xif/zAkBVNzk/f8Izcd9ZJMb1uBHYqKrzndeT8SSXoM+tJiSTmjBn/BTgNmf9Njx9DXFHRAR4E8hR1ed93or78xORNBFp5KzXw9MXlIMnqVzj7BZ356aqj6pqG1XNwPO79Y2q3kScnxeAiBwnIg2868B/AStJgOtRVbcChSLS2dnUF1hNCOdWIx5aFJHL8LTrJgNvqerYKIcUNBF5H7gIz+ie24BRwCfAJKAtsAG4TlV3RivGYInIecB/gBX82v7+GJ5+k7g+PxE5FXgbzzWYBExS1SdEJBPPN/omwFLgZlU9FL1IgyciFwGPqOrliXBezjl4pxFPAd5T1bEi0pQ4vx4BRKQH8DegNpAP3IFzbRLEudWIZGKMMSa8akIzlzHGmDCzZGKMMSZklkyMMcaEzJKJMcaYkFkyMcYYEzJLJiahiEiG74jKUYrhIhE5J5ox+ENEZopIQs5lbiLPkokx7rsIiPlkEgqfp9uNASyZmMSUIiITnTkaJotIfQARGSkiC0VkpYiMd564R0SGOnOofC8i/3C2HefMHbPAGQjviooOVP6zzgCVg4EHnTkwzneefv/QOfZCETnX+Wy2iLwjIvOc+SMGVlB+hnMeb4hnHpQvnSfoy9QsRCTVGdIEEbldRD5x5qMoEJF7ReQh5zy+E5EmPoe4xYlzpYicVdW5O+VOEZFv8IwSbMyvoj0Usi22uLngGZ5fgXOd12/heSoboInPfu8A/Z31zUAdZ72R8/MpPE9tAzQCfgCOq+B4FX0223tM5/V7eAYMBM+TxTk++y0H6uEZ0aAQaFXB+RwFejivJ/nENRPo6aynAgXO+u3AWqABkAbsBgY7772AZwBN7+ffcNYvwJnWoLJzd8rd6PvvaIst3sVqJiYRFarqHGf9XeA8Z723eGb/W4FnQMJuzvbvgYkicjOeP9zgGYdphDNk/EygLp5EUF5Fny2vH/CyU9YU4ARnZGSAT1X1gKpuxzOe1VkVfH69qi5z1hfjSTDV+VZV96pqEZ5kMtXZvqLc598HUNV/O3E1oupz/0rjcOgQE37W7mkSUfkxglRE6gKv4PkmXygi2Xj+SAL8Fs838/7A4yJyCp4Jnq5W1TzfgkTk//DMs7JZVS+r5LPlJQFZqnqwXFkVxlrB533HtCrGU5MBT/LyfiGsS1m+nynxeV1C2d/7io5f2bn3wjNUuTHHsJqJSURtReRsZ/1GYDa//rHd7tQKrgEQkSQgXVW/BYbjmYHueOAL4D6ffpXTAFT1DvVM4XpZFZ/di6eJyetL4D7vC2eAPa8rxDM/fFM8HfcLAzjPAuAMZ/2aKvaryvVOTOcBu1V1N5WcuzFVsWRiElEenomMcoDGeCYA+hl4A88Q4l/w6x/tZOBdp+lrKfCSs+8YoBbwvYiscl6XV9lnpwJXeTvggaFAT6eTfjWeDnqv7/E0b30HjFHVzQGc57PA3SKyFE+fSTAOOp9/jV/naffn3I0pw0YNNiZKnKa2X1T12WjHYkyorGZijDEmZFYzMcYYEzKrmRhjjAmZJRNjjDEhs2RijDEmZJZMjDHGhMySiTHGmJBZMjHGGBOy/w98dROifRLOIgAAAABJRU5ErkJggg==n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537d217c88>”

]

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

}, {

“data”: {

“image/png”: “iVBORw0KGgoAAAANSUhEUgAAAZIAAAEKCAYAAAA4t9PUAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4xLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvAOZPmwAAIABJREFUeJzt3Xl8VPW5+PHPE/YAsousAkISEkCUIIRF2Rc12qvetlZ79V7Uam2r1V5bvVVCvba11/Zaf1qXqheu2sXqrQoVBARRZJGwZIWgBNmRTfZNkuf3x5yJk5CQzHrOzDzv1+u8MmfmzDnP0WGeOd/v9zxfUVWMMcaYUKW4HYAxxpj4ZonEGGNMWCyRGGOMCYslEmOMMWGxRGKMMSYslkiMMcaExRKJMcaYsFgiMcYYExZLJMYYY8LS2O0AYqFjx47aq1cvt8Mwxpi4snr16n2q2qm+7ZIikfTq1Yv8/Hy3wzDGmLgiIlsasp01bRljjAmLJRJjjDFhsURijDEmLJZIjDHGhMUSiTHGmLB4KpGISA8RWSwipSJSIiL31LLNGBE5JCLrnOURN2I1xhjj47Xhv2eA+1V1jYi0BlaLyAJVLa2x3UeqerUL8RljjKnBU1ckqrpLVdc4j48A64Fu7kZljDHmXDyVSAKJSC/gEmBlLS/niEiBiMwVkayYBmaiIi8vz+0QjDEhElV1O4aziEgrYAnwmKr+X43XzgMqVfWoiFwJ/F5V+9WyjzuAOwB69uw5ZMuWBt2gaVwiInjxs2hMMhOR1aqaXd92nrsiEZEmwJvAazWTCICqHlbVo87jd4EmItKxlu1eUNVsVc3u1KneUjHGGGNC5KlEIiICvASsV9Xf1bHNBc52iMhl+M5hf+yiNMYYE8hro7ZGAt8FikRknfPcQ0BPAFV9DrgBuEtEzgAngG+rtYkYY4xrPJVIVHUpIPVs8zTwdGwiMsYYUx9PNW0ZY4yJP5ZIjDHGhMUSiTHGmLBYIjHGGBMWSyTGmJBZRQIDlkiMMWGYMWOG2yEYD7BEYowxJiyWSIyrysvLycry1d3MysqivLzc5YiMMcGyRGJclZuby/r16wHYsGEDubm5LkdkjAmWJRLjqrKysqqqv5WVlZSVlbkckTEmWJZIjKv69u1b9TglJYX09HQXozHGhMISiXHVww8/TNOmTQFIT09n9uzZLkdkjAmWJRLjqn379jFt2jQAnnnmGfr06eNyRMaYYFkiMa4qKChg0KBBAMybN8/laIwxobBEYlxVWFjIxRdfDMB7773ncjTGmFBYIjGuOXPmDKWlpQwYMACALVu2sGvXLpejMsYEyxKJcc2nn35K165dad26NQDjx49n/vz5LkdljAmWJRLjmsLCwqr+EYDJkydb85YxccgSiXFNYEc7+BLJggULqKiocDEqY0ywLJEY1wR2tAP07NmTTp06sWbNGhejMsYEyxKJcU3NKxKw5q14YcU2TSBLJMYVBw4c4ODBg/Tu3bva81OmTLFEEges2KYJZInEuKKoqIiBAweSklL9I3j55Zezbt06Dh065FJkpiGs2KYJZInEuKKgoKBa/4hfixYtGDFiBO+//74LUZmG6tSpU9VjK7ZpLJEYV9Qc+jt9+vSqx9a85X1paWmcd955AGRkZFixzSQXciIRkZYi0iiSwYhIDxFZLCKlIlIiIvfUso2IyFMi8pmIFIrIpZGMwcRGzSuSvLy8qseTJ09m3rx5VU0nxltOnDjB2rVrKSoqAmDVqlVWbDPJNTiRiEiKiHxHRP4hInuADcAu50v/v0Skb337aIAzwP2qmgkMB+4Wkcwa20wF+jnLHcCzETiuiaGKiopqpVFq6t+/v7W7e9iSJUsYPHgwPXv2BGDx4sUuR2TcFswVyWLgIuBB4AJV7aGq5wOjgBXA4yJyczjBqOouVV3jPD4CrAe61djsWuB/1WcF0FZEuoRzXBNbn376KZ07d65qGqlJRKx5y8Pmzp3L1KlTq9bfffddF6MxXhBMIpmgqo+qaqGqVvqfVNUDqvqmql4P/DVSgYlIL+ASYGWNl7oB2wLWt3N2sjEeVvNGxNr4m7eM98ydO5cpU6ZUW7dmyOTW4ESiql/V9ZqItK1vm2CISCvgTeBeVT0c4j7uEJF8Ecnfu3dvJMIyEVLbjYg1jR8/nqVLl3Ly5MkYRWUaYtOmTRw5coTBgwdXPXf69Gk2btzoYlTGbfUmEhEZIiLTRaSdiLQWkeEiMk1Efici74nIDuDzSAUkIk3wJZHXVPX/atlkB9AjYL2781w1qvqCqmaranbgUEXjvoZckbRr146BAwfy0UcfxSgq0xD+qxERqXpu6tSp1ryV5BpyRfI8MAfYCpQBjwKDgc+AgcAlqto2EsGI79P5ErBeVX9Xx2bvAP/ijN4aDhxSVZvEIo7UHPpblylTpljzlsfU7B8BuPLKK5k7d65LERkvkPraNkXkKeB8oAuQCvyXqr7uvLZZVXuf6/1BBSMyCvgIKAL8/TAPAT0BVPU5J9k8DUwBjgP/qqr559pvdna25uefcxMTI19++SU9e/bk0KFDZ93VXtPKlSuZNm0axcXFMYrOnMvJkyc5//zz2bJlC+3atQN8AyMOHTpEt27d2L17Ny1btnQ5ShNJIrJaVbPr265xfRuo6o9EJFVVj4tIe+DnIvJj4BdARHvYVHUpIPVso8DdkTyuiZ2ioiIGDBhQbxIByM7OZteuXWzfvp3u3bvHIDpzLh9++CGDBg2qSiJ+5513HtnZ2SxatMhqbiWpBnW2q+px5+8BVb0P+DbwHaCziIyNYnwmwdRVGqU2jRo1YuLEiTYM2CNqa9bys+at5BbSne2qukVVvwuMBH4qIksiG5ZJVA3tH/GzsvLeUXPYb6CpU6faMOAkFsyd7Wc1OanqOlWdAuTVtY0xgRoy9DfQpEmTWLhwIWfOnIliVKY+mzdv5ssvv+SSSy6p9fWsrCzOnDnDhg0bYhyZ8YKg7mwXkR+KSM/AJ0WkKZAiIrOAWyIanUkoFRUVlJSUMHDgwAa/p1u3bnTv3p1Vq1ZFMTJTH//VSF19WyJSdVVikk8wiWQKUAH8WUR2OjW2yoFP8fWZPKmqM6MQo0kQmzZt4vzzz6dNmzZBvc+at9x3rv4RP+snSV7B3Nl+UlX/oKojgQuB8cClqnqhqt6uqmujFqVJCMF0tAeyROKukydPsmTJEiZNmnTO7caPH8+KFSs4evRojCIzXhFqZ/tXToHFg5EOyCSuYDva/UaNGkVJSQkHDhyIQlSmPkuXLmXAgAG0b9/+rNcC55Fp3bo1Q4cOZdGiRbEMz3iATWxlYibUK5LmzZszevRoFi5cGIWoTH3O1awVOI8MWPNWsrJEYmIm1CsSsOYtN51r2G9N/rpbNgw4uQSdSJwaVzeLyCPOek8RuSzyoZlEcvDgQfbt28dFF10U0vv985PYF1RsbdmyhX379jFkyJAGbZ+ZmYmqsn79+ihHZrwklCuSPwA5wI3O+hHgmYhFZBJSMKVRatOvXz+aNGlCSUlJhCMz5zJ37lwmT57c4P9vImLNW0kolH/Vw1T1buAkgKp+CTSNaFQm4YTTrAW+Lyhr3oq9hgz7rcnuJ0k+oSSSr0SkEU7BRhHpxNeVeo2pVagd7YFs+t3YOnXqFB988EG9w35rGjduHCtXruTIkSNRisx4TSiJ5Cng78D5IvIYsBT4ZUSjMgkn3CsS8H1BLV++nOPHj0coKnMuS5cupX///nTs2DGo97Vu3Zphw4bZMOAkEnQiUdXXgAeAXwG7gG+o6t8iHZhJHBUVFRQXF4edSM477zwuueQSliyxGqGxMG/evKCbtfyseSu5hHpD4gZVfUZVn1ZVG55hzqm8vJyOHTsGXRqlNta8FTvBDPutyYYBJ5dQhv/+s4i0dh7/XET+T0QujXxoJlFEon/Eb/LkyTb9bgxs27aNL774guzseifHq1X//v1JSUmhtLQ0wpEZLwrliuRhVT3iTIs7Ad8c689GNiyTSCLRP+J3ySWXcODAAbZs2RKR/ZnazZ07l0mTJtGoUaOQ3m/VgJNLKImkwvl7FfCCqv4DG/5rziGSVyQpKSlMmjTJmreiLJRhvzX5m7dM4gslkewQkRfwlY5/V0SahbgfkyQieUUC1rwVbadPn2bx4sVMnjw5rP2MGzeOVatW2TDgJBBKAvhnYC4w0an+2w74SUSjMgnj0KFD7N27N+TSKLWZNGkSixYt4quvvorYPs3XPv74Y9LS0ujUqVNY+2nVqhXDhw/n/fffj1BkxquCmWp3qfNwDzALWCMih/FNbPVmFGIzCaCoqIisrKyQ29pr07lzZ/r06cPKlSsjtk/ztUg0a/lZ81ZyCGZiq1HO39aqel7A0lpVz4teiCaeRbpZy8+at6Jn3rx5IQ/7rcnf4W7DgBNb2H0bIpIiIjdFIhiTeCLZ0R7I6m5Fx/bt29mxYweXXRaZgt4ZGRk0btzYim0muGCats4TkQdF5GkRmeSUk/8hUA58M3ohmngWrSuSESNGsHHjRvbu3RvxfSezefPmhTXstyb/MGBr3kpswVyRvAKkA0XAbcBi4AZ8JVKujUJsJs5VVlZSVFQUlUTStGlTxowZw4IFCyK+72QWyf4RP7ufJPEFk0j6qOqtqvo8vrlIMoHJqroukgGJyMsiskdEiut4fYyIHBKRdc7ySCSPbyKnvLycDh060LZt26js35q3Iuurr77i/fffD3vYb03jxo0jPz+fw4cPR3S/xjuCSSRVYy1VtQLYrqonIx8SM4H6evo+UtXBzvKLKMRgIqCwsDAq/SN+/kRSWWmzGETCsmXL6Nu3L507d47oflu2bElOTo4NA05gwSSSi0XksLMcAQb5HzvDgCNCVT8EDkRqf8Y9BQUFUWnW8rvoooto3bo1hYWFUTtGMolGs5af9ZMktmCG/zaqMeS3sYvDf3NEpEBE5opIVm0biMgdIpIvIvnWIeuOaHW0B7LmrciJ5LDfmvzT79ow4MQUj6VN1gAXqurFwP8D3qptI1V9QVWzVTU73Dt0TWiiNfQ3kCWSyNi5cydbt25l2LBhUdl/WloaTZs2pbi41q5PE+fiLpGo6mFVPeo8fhdoIiLBTeFmou7w4cN88cUX9O3bN6rHGTt2LKtWreLo0aNRPU6imzdvHhMnTqRx48ZR2b8NA05scZdIROQCERHn8WX4zmG/u1GZmqJRGqU2rVq1YujQoSxevDiqx0l00ewf8fM3b5nE47lEIiJ/BpYD6SKyXUSmicidInKns8kNQLGIFOCbP/7bag2vnhOL/hE/a94Kz5kzZ1i4cGHU+kf8xo4dy+rVqzl06FBUj2Nir8HXsc5Irdq+sAXQSHW4q+qN9bz+NPB0JI5loifaQ38DTZkyheuvvz4mx0pEy5cvp3fv3lxwwQVRPU5qaiojRoxg4cKF9v8rwQQzaqtmsUYr2mjqFO2hv4EGDRrEsWPH2LRpU0yOl2hi0azlZ3e5J6aQmrZEpJ2IXCYil/uXSAdm4lc0S6PURkRs1sQwzJ07N+rNWn42DDgxBZ1IROQ24EPgPWCG8zcvsmGZeLZ582batWtHu3btYnbMKVOmWFn5EOzatYvPP/+cnJycmByvX79+NG/e3G4iTTChXJHcAwwFtqjqWOAS4GBEozJxLZYd7X4TJ05kyZIlnD59OqbHjXfvvfceEyZMiNqw35r8w4CteSuxhJJITvprbIlIM1XdgK8qsDFAbG5ErKljx46kpaWxbNmymB433sWyf8TPhgEnnlASyXYRaYvvjvIFIvI2sCWyYZl45sYVCVjzVrDOnDnDggULYtY/4jdmzBjWrFnDwYPWkJEogk4kqvpPqnpQVfOAh4GXgG9EOjATv9y4IgG7nyRYK1eupGfPnnTt2jWmx01NTWXkyJEsXLgwpsc10RPWDYmqukRV31FVa5g2ABw5coTdu3dHvTRKbYYNG8bmzZvZvXt3zI8dj9xo1vKz5q3EEsqorVlO05Z/vZ2IvBzZsEy8Ki4uJjMzM2adt4GaNGnC+PHjmT9/fsyPHY9iOey3Jn+Huw0DTgyhXJEMUtWqxk1V/RLfyC1jYnojYm2seathdu/ezaZNmxgxYoQrx+/Xrx+pqakUFBS4cnwTWaEkkhQRqbpBQETaE0SpFZPYYlkapTaTJ09m/vz5NmtiPebPn8/48eNp0qSJazFY81biCCWR/BZYLiKPisijwDLgN5ENy8Qrt69ILrzwQjp27MiaNWtciyEeuNk/4mf3kySOUEZt/S9wPfCFs1ynqq9EOjATf2JdGqUu1rx1bhUVFcyfP9+1/hG/MWPGsHbtWhsGnABCGrWlqiWq+rSzlEY6KBOfPv/8c9q0aUP79u1djSMwkeTl5bkaixd98skndOvWje7du7saR4sWLRg9ejQLFixwNQ4TvgYnEhFZ6vw9IiKHA5YjInI4eiGaeOHWjYg1XXHFFaxdu5ZDhw4xY8YMt8PxHC80a/lZ81ZiCKaM/Cjnb81y8lZG3gDud7T7paamkpOTw6JFi9wOxZPcHPZbkz+R2OCI+Oa5GRJN/HK7oz2Q9ZPUbs+ePWzcuJGRI0e6HQoAffv2pVWrVjYMOM4F07R1JKAp60iNdWvaMp65IgHIysri5ZdfrnpcXl7uckTeMH/+fMaNG0fTpk3dDqWKDQOOf6HMkNg6YLGmLQPA0aNH2bFjB/369XM7FADuv/9+vvrqKwA2bNhAbm6uyxF5g5f6R/ymTp3Ku+++63YYJgyhlEgREblZRB521nuIyGWRD83Ek+LiYvr37+9KaZTalJWVVT2urKystp6s/MN+vZZIrrjiCgoKCvjyyy/dDsWEKJQ+kj8AOcB3nPWjwDMRi8jEJbcq/tYlPT0dEQEgJSWF9HSbMic/P5/OnTvTo0cPt0OppkWLFlx++eVVw4BtyHb8CSWRDFPVu4GTUFVryzsNrsYVXhn66zd79mx69+4NQEZGBrNnz3Y5Ivd5sVnLL7B5y4Zsx59QEslXItIIUAAR6QTY2L0k56WOdoA+ffpUNWd99NFH9OnTx+WI3OelYb81TZ06lXnz5tkw4DgVSiJ5Cvg70FlEHgOWAr+KaFQmrqiq565IgKr+mhUrVrgcifv+/d//nQ0bNjBq1Ci3Q6nVRRddRJs2bVi3bp3boZgQhFJr6zXgAeCXwE7gG6r6eqQDM/Fjy5YttG7dmg4dOrgdyllGjx5t87gDTzzxBGPGjKFZs2Zuh1InG70Vv4K5j+T/ichTIvIU8H0g3Vnucp6LCBF5WUT2iEhxHa+LE8dnIlIoIpdG6tgmNF66EbGmn/3sZ5ZIHF7tH/GzcinxK5grknxgtbNcE/DYv0TKTOBcDblTgX7OcgfwbASPbULgtf6RQMOHD2fVqlWcOXPG7VBc4+938HoiueKKKygqKnI7DBOCYG5InOVfgC8D153nIkJVPwQOnGOTa4H/VZ8VQFsR6RKp45vgefmKpH379vTo0YPCwkK3Q3HN6tW+33kXXnihy5GcW/Pmzbn88svdDsOEINRaW25OtNwN2Bawvt15zrjEix3tgUaMGJG0zVvl5eVcddVVgPdLxZSXl1clPa/HaqpL2KKNInKHiOSLSP7evXvdDidhHTt2jO3bt3v6hr9kTiS5ubn4P/9eLxWTm5vLnj17AO/HaqoLpWjjYWCQi/OR7AACb83t7jxXjaq+oKrZqprdqVOnmAWXbIqLi8nIyPBMaZTaJHMiiadSMWVlZVX9OV6P1VQXStHG81S1sYvzkbwD/Iszems4cEhVd8Xw+CaAlzva/dLS0jhy5Ag7dpz1eyPhdenydfeh10vFpKenk5Li+0oSEU/HaqrzXNOWiPwZWA6ki8h2EZkmIneKyJ3OJu8C5cBnwB/xDUU2LvFyR7tfSkoKOTk5LF++3O1QYm706NF07twZ8H6pmNmzZ5ORkQFAkyZNPB2rqc5z7RGqemM9rytwd4zCMfUoLCzkuuuuczuMevmbt2644Qa3Q4mplStXMn/+fC6++GJKSkrcDuec+vTpQ0lJCSJChw4dknrIdrzx3BWJiR9eLY1Sm2TsJykvL+fYsWMMHDjQ7VCCds011/D222+7HYZpIEskJmRbt26lZcuWdOzY0e1Q6jV06FAKCws5ceKE26HEzIIFC5gwYUJVOf14cu2111oiiSOhTGzVTES+IyIPicgj/iUawRlvi4f+Eb+WLVuSmZlZdZ9CMliwYAETJ050O4yQjBs3juLi4qrhwMbbQrkieRvf3eVngGMBi0ky8dKs5ZdMzVsVFRUsWrSICRMmADB9+nSXIwpOs2bNmDhxInPmzHE7FNMAoSSS7qr6LVX9jar+1r9EPDLjefEw9DdQMiWS1atX06VLF7p18xV9iMdZB615K36EkkiWiUj89d6ZiIunpi34OpH4Bv4ltnhu1vK78sorWbx4McePH3c7FFOPUBLJKGCNiJQ5ZdyLRCR5K+IlqePHj7Nt27a4ummsR48eNG3alE2bNrkdStTFcyLxN8O1b9+e7OzsqrncjXeFkkimAH2BicDVwFXOX5NEiouLSU9Pp0mTJm6H0mAiwsiRIxO+eevo0aPk5+dzxRVXuB1KSAKb4ax5Kz4EU2trqfOwBCgCip2lxPlrkki89Y/4JUM/yYcffsiQIUNo1aqV26GE7dprr2XOnDlUVFS4HYo5h2BqbY1y/gbW3HKj1pbxgHjrH/FLhkQSz81aNfXq1YsuXbokZXmbeGI3JJqQxOsVyeDBgykvL+fQoUNuhxI1iZRIwJq34oElEhO0eCqNUlOTJk0YMmQIK1eudDuUqNi5cyc7d+4kOzvb7VAixp9IkmG0XbyyRGKCtm3bNpo3b068zvOSyM1b77//PmPHjqVRo0ZuhxIxl156KSdOnGDDhg1uh2LqYInEBC1em7X8EjmRJFqzFvhG21kRR2+zWlsmaPHa0e6Xk5PDypUrE24kkKqycOHChEskYP0kXme1tkzQ4v2KpGPHjlxwwQWen58jWCUlJTRv3pyLLrrI7VAibsyYMWzYsIHdu3e7HYqphdXaMkGL9ysSSMzmrURs1vJr2rQpkydPtlkTPcpqbZmgHD9+nC1btlRNiRqvLJHEH2ve8q5Qa22ttlpbyamkpCTuSqPUJtESyalTp1i6dCnjxo1zO5SomTp1Kh9++CFHjx51OxRTQyhztk+NeBQmbsR7/4hf//792b9/P1988QWdO3d2O5ywLV++nIyMDNq3b+92KFHTtm1bhg0bxvz587nuuuvcDscECPqKRFW3AG2BXGdp6zxnkkC83ohYU0pKCsOHD0+Y0huJ3qzlZ81b3hTK8N97gNeA853lVRH5YaQDM9709ttvJ0QigcRq3kqWRHLNNdfwj3/8gzNnzrgdigkQSh/JNGCYqj6iqo8Aw4HbIxuW8SJVZcuWLQnRtAWJk0gOHDjAhg0byMnJcTuUqOvZsyc9e/bk448/djsUEyCURCJA4J1cFc5zJsFt374dgPPPP9/lSCLjsssuY+3atZw6dcrtUMKyaNEiRo0aRbNmzdwOJSa+8Y1v8NZbb7kdhgkQSiL5H2CliOSJSB6wAngpolEZTyosTKzBea1btyYtLY21a9e6HUpYkqVZy8+KOHpPKJ3tvwP+DTjgLP+qqk9GKiARmeIMLf5MRH5Wy+u3isheEVnnLLdF6timbuXl5fzbv/0bAFlZWZSXl7scUWQkQvNWsiWSQYMGUVlZSXGxzafnFSEVbVTV1ar6lLNE7OeciDQCnsE3xDgTuFFEMmvZ9K+qOthZXozU8U3dcnNz2bNnDwAbNmwgNzfX5YgiI94TyaZNmzhx4gRZWVluhxIzImKjtzwm6Kl2ReSIiBwOWI6IyOEIxXMZ8JmqlqvqaeAv+Op6GZcFlvCurKykrKzMxWgiZ8SIEXz88cdx20yyYMECJkyYgEhydVNaIvEWr0212w3YFrC+3Xmupuudu+rfEJEeETq2qcPp06dp0qRJ1ZdVSkoK6enpLkcVGb169QJgy5b4vBUq2Zq1/EaPHk15eTk7duxwOxRDaPeRPN6Q56JoNtBLVQcBC4BZtW0kIneISL6I5O/duzeG4SWe3/zmN+Tk5NC/f38AMjIyEqZ4nojEbfNWRUUFixcvZsKECW6HEnNNmjRh6tSpvPPOO26HYgitj6S2nz+RKpuyAwi8wujuPFdFVferqn+85ovAkNp2pKovqGq2qmbH60x+XrB+/Xp+//vfM2vWrKqy6yUlJfTp08flyCInXhNJfn4+Xbt2pWvXrm6H4gpr3vKOYPpI7hKRIiDdaVbyL5uBogjFswroJyK9RaQp8G2g2k8OEekSsHoNsD5CxzY1VFZWcvvtt5OXl0fPnj3dDidq4jWRJGuzlt+UKVNYtmwZhw9HqovWhCqYK5I/4aut9Q5f19nKBYao6k2RCEZVzwA/AN7DlyBeV9USEfmFiFzjbPYjESkRkQLgR8CtkTi2Oduzzz4LwF133eVyJNF16aWXUlZWFndVZZM9kbRu3ZqRI0cyb948t0NJeg2u/quqh4BD+IbktgP6Ac3B186sqh9GIiBVfRd4t8ZzjwQ8fhB4MBLHMnXbunUreXl5fPTRR6SkfP17Y/r06S5GFR3NmjVj8ODBfPLJJ3FThv3o0aOsXr2aK664wu1QXOVv3vrmN7/pdihJLZTO9tuAD/FdNcxw/uZFNizjJlXlrrvu4p577jlrAqu8vDx3goqyeGveWrJkCdnZ2bRs2dLtUFx1zTXXMHfuXL766iu3Q0lqoXS23wMMBbao6ljgEuBgRKMyrvrzn//Mtm3beOCBB9wOJWbiLZEsXLgwqZu1/Lp27Urfvn358MOINIiYEIWSSE6q6kkAEWmmqhuAxLipwLBv3z7uu+8+XnrpJZo2bep2ODGTk5PD8uXLqaysdDuUBkn2/pFANnrLfaEkku0i0hZ4C1ggIm8D8Xk3lznLvffey0033cTQoUPdDiWmLrjgAtq3b1/tDn6v2rlzJzt37mTIkFpHvicdK+LovqCn2lXVf3Ie5onIYqANYMMmEsDcuXNZvnx5wlX5bSh/81ZmZm3l3bxj4cKFjBs3jkaNGrkdiidkZWXRuHFjCgoKGDx4sNvhJKWQijb6qeq6Xo6+AAAWM0lEQVQSVX3HqYtl4tiRI0e48847ef7555O2Azde+kmsWas6K+LoPq8VbTQueeihhxg/fnxSltvwi4dEoqrW0V4LSyTuCuY+kqqijdELx7hh2bJlvPnmm1UlUJLVgAED2LlzJ/v27aNjx45uh1Or4uJiUlNTE6pETSSMHDmSrVu3snXr1oSuwuBVodxHcp+IJGdxnwR06tQpbrvtNp566inatWvndjiuatSoEcOGDWPFihVuh1Ina9aqXePGjbnqqqusiKNLQukjaY1vtNZHIvIDEekc6aBM7Dz22GOkp6dz/fXXux2KJ3i9ecsSSd2secs9oUy1O0NVs4C7gS7AEhFZGPHITNQVFRXx3HPP8cwzzyTdxEh18XIiOXXqFB9//HHclHGJtUmTJrFy5UoOHrT7o2MtnFFbe4DdwH7g/MiEY2KloqKC2267jcceeyxpy5DXZtiwYeTn53uy5MayZcvo379/0jdB1qVVq1ZcfvnlzJ071+1Qkk4ofSTfF5EPgPeBDsDtziRTJo489dRTpKamctttt7kdiqe0bduW3r17U1BQ4HYoZ7FmrfpZ85Y7Qrki6QHcq6pZqpqnqqWRDspE1+bNm3nsscf44x//aE1atfBq85Ylkvrl5uby3nvvcfq03doWS6Ekkv8ABojIwwAi0lNELotsWCZaVJU77riDBx54gL59+7odjid5MZHs37+fsrIycnJy3A7F0y644AL69+/PBx984HYoSSWURPIMkAN8x1k/4jxn4sDMmTM5cOAA9913n9uheJYXE8miRYsYPXp0UhXSDJU1b8VeKIlkmKreDZwEUNUvAft0x4Hdu3fz05/+lJdeeonGjYMus5Y0+vbty4kTJ9i2bZvboVSxZq2Gu/baa3nnnXesiGMMhZJIvhKRRoACiEgnID5qbye5H/7wh0ybNs0K29VDRBgxYgTLly93OxTA1xxpiaThMjIySE1NZc2aNW6HkjRCSSRPAX8HOovIY8BS4JcRjcpE3FtvvUVBQQGPPPJI/RsbTzVvbdq0idOnT3u+KrGXWPNWbIVyQ+JrwBPA88BO4Buq+rdIB5YsYjF17cGDB/nBD37Aiy++SIsWLaJ+vETgpUSyYMECJkyYYCPsgmCJJLaCqf4rIpInIvvwTWr1Y3xztf9zlGJLCjNmzIj6MR544AGuvvpqLr/88qgfK1FkZ2dTUlLC8ePH3Q6lKpGYhhs+fDi7d+9m8+bNboeSFIK5IvkxMBIYqqrtVbUdMAwYKSI/jkp0JmwffPABc+fO5fHHH3c7lLjSokULBgwYQH5+vqtxnDlzhsWLF1siCVKjRo24+uqrrYhjjASTSL4L3KiqVSleVcuBm4F/iXRgJnwnTpzg9ttv55lnnqFNmzZuhxN3vNC8lZ+fT/fu3enSpYurccSjWDVvxaJ52uuCSSRNVHVfzSdVdS/QJHIhmUjIy8sjLy+PSy+9lGuuucbtcOKSFxKJjdYK3YQJE1i9ejUHDhyIyv7Ly8vJyspixowZZGVlUV5eHpXjxINgEsm5ag5YPYIg+T+EQFQ+hDNmzGDmzJk89dRTEd1vMsnJyWHZsmWu3o9gsyGGLjU1lbFjx/Luu+9GZf8TJ05k/fr1AJSWljJ8+HDeeOMNSktLk65ESzB3pV1cx5S6AjSPUDyIyBTg90Aj4EVV/XWN15sB/wsMwVd5+Fuq+nmkjh8rubm5VR/C9evXM3bsWF555RVSU1PPWlq0aEGjRo0atN/y8nKuvvpqwDfZz7Fjx6J2Domue/futGzZkk8//ZS0tLSYH//o0aOsWbPGBkmEwd+8dfPNN0dkf3v37uVPf/oTs2bNOuvH3759+3j11VcpLS1l69at9OnTh8zMzGpLWloazZtH7OvSM8RLd386NzpuBCYC24FV+PplSgO2+T4wSFXvFJFvA/+kqt86136zs7PV7U7Tmho3bkxFRUXVuogwevRojh8/XrUcO3as6nHTpk1rTTI1l7feeosvv/wSgJSUFDIyMpJ+Ct1w3HjjjUyePJlbb7015sf+xz/+wRNPPMHixYtjfuxEsXfvXvr168cXX3xBs2bNQtrH6dOnmTNnDrNmzWLJkiXk5uZyyy238KMf/YiysjIqKyvP+rd28uRJNm7cSGlpabWlvLycnj17kpmZSVZWVlWCSU9PJzU1FfD9GPT/0Ozfvz+zZ892bWplEVmtqtn1bee1OhmXAZ85nfiIyF+Aa4HACsPX4ht2DPAG8LSIiHopIzZAeno6GzZsqPYhXLJkSa3bqiqnTp2qlmTqWmbNmlX1vsrKSsrKymJ1SgnJ30/iRiKx/pHwderUiYEDB7Jo0SKmTp3a4PepKqtXr2bWrFn85S9/ITMzk1tvvZVXX32V1q1bAzBnzhxyc3MpLS0lIyOD2bNnV72/efPmDBo0iEGDqs+wcfr0aT777LOqxDJ79mwef/xxPv30U7p27UpmZibLly/nwIEDqCobNmwgNzfX8z8GvXZFcgMwRVVvc9a/i6+21w8Ctil2ttnurG9ytjlrIIBf69atdciQIdWe++Y3v8n3v/99jh8/zpVXXnnWe2699VZuvfVW9u3bxw033HDW63fddRff+ta32LZtG9/97nfPev3+++8nNzeXsrIyvve97531+rRp0/j1r39NaWkpqampDBgwoNrNgr/85S+rvsQeeuihs97/5JNPMnjwYBYuXMh//ud/Vj2/atWqqnsfUlJS6NatW62/Zl555RV69OjBX//6V5599tmzXn/jjTfo2LEjM2fOZObMmWe9/u6775Kamsof/vAHXn/99bNe91dffeKJJ5gzZ06111q0aFE1+dCjjz7K+++/X+31Dh068OabbwLw4IMPnlWqpHv37rz66qsA3Hvvvaxbt67a62lpabzwwgsA3HHHHWzcuLHa64MHD+bJJ58E4Oabb2b79u3VXs/JyeFXv/oVAOPGjWPlypUMHTq06vXx48fz8MMPAzB16lROnDhR7f1XX301P/nJTwAYM2bMWf9tGvrZ85f6OO+886q9Hu5n7+c//zkTJkxg3bp13HvvvWe9Hupnz+/5558nPT2d2bNn89vf/vas12P92du2bRsnTpwgLS2t3s9eamoqY8aMYdasWezcuZM2bdrQuXPnqn+btX32Pv/8c3r16gWE/tlTVU6cOEGPHj34+9//fla/3BVXXAHE7rPn/95bsmRJg65Iwpkh0dNE5A4RyReRfC/OdtelS5eqXxlDhw6N2B3nAwYMqLpEzsjIqPrQmdC0adOGU6dOcebMmZged8eOHezZs6fq168JXYcOHdi/f3+dgyYqKirYs2cPhYWFLFy4kI0bN/Lcc8/xve99j169etX7b9OfRMIhIqSmppKWlkb//v1JSfn6q9n/79nTVNUzC77y9O8FrD8IPFhjm/eAHOdxY2AfzpVVXcuQIUPUq3z/C+Jnv8lozJgxOnfu3Jgec+bMmXrDDTfE9JiJrH///jpt2rSq9crKSl26dKnefvvt2q5dO504caK++uqreuzYMRej9Nm0aZNmZmYqoJmZmbpp0ybXYgHytQHf3V67IlkF9BOR3iLSFPg2UPPW1HeAW5zHNwCLnBM2AaZPn+52CAnDjftJrH8kcsrLy9mzZw8vvfQSaWlp3HfffaSlpXHbbbfRp08fCgsLmT9/PjfddJMnfv336dOHkpISpk+fTklJiWsd7UFpSLaJ5QJciW/k1ibgP5znfgFc4zxuDvwN+Az4BOhT3z6T8YrERM6cOXN0/PjxMTnW9OnTtbKyUjt37qzl5eUxOWaiy8zMVBFRfFNfaLt27XTFihVaWVnpdmieRwOvSDzV2R4tXhz+6+e/A9141/79++nduzcHDhyI+oRgIkJBQQHXXXcdn332WVSPlSxqDrVv1KhRzPu84lVDh/96rWkr6VgS8b4OHTrQrVs3iouLY3I8a9aKrPT09KrO65SUFNLT012OKPFYIjGmAWLZT2KJJLJmz55NRkYGwFn3e5jIsERiTAPEMpF8/PHHjBs3LibHSgZx2XkdZyyRGNMAsUwkWVlZtG3bNibHSibWjBw9lkiMaYD09HQOHjzIrl27on4sa9Yy8cYSiTENkJKSQk5OzlnlWqLBEomJN5ZIjGmgaDdv7d+/H/DNN25MPLFEYkwDBSaSaLS3+wsINm3aNOL7NiaaLJEY00BDhw6loKCAkydPMmPGjIjuu7y8vKpSb7JP22rijyUSYxqoVatWZGRksGbNmojs74svvmDhwoX87ne/49JLL+XgwYMAVXNQGBMvvDaxlTGeFko/yfHjxyktLaWoqIjCwsKqvxUVFQwaNIiBAwdy5MiRqu1tQjITbyyRGBOEESNG8Le//a3W1yorK9m8eXNVsvAnjG3btpGWlsbAgQMZNGgQkydPZtCgQXTp0gURAXz9I4EzZloZDxNPLJEYE4Tu3bvzzju+mQ169erFLbfcws6dOykqKqKkpIT27dtXXWVcf/315OXlkZaWRpMmTc6539mzZ9c5basxXmfVf40JQlZWFqWlpVXr7dq147HHHmPgwIEMGDAg7DvSRaTOmfyMibWGVv+1RGJMEKJdktwSifESKyNvTBRYSXJjzmaJxJggWElyY85mne3GBMFfklxEKCkpcTscYzzBrkiMMcaExRKJMcaYsFgiMSYE06dPdzsEYzzDEokxIYjWbHuWoEw8skRijIfYdLAmHlkiMcYYExZLJMYYY8JiicQYY0xYPJNIRKS9iCwQkU+dv+3q2K5CRNY5yzuxjtMYY0x1nkkkwM+A91W1H/C+s16bE6o62FmuiV14xhhjauOlRHItMMt5PAv4houxGGOMaSAvJZLOqrrLebwb6FzHds1FJF9EVohInclGRO5wtsvfu3dvxIM1xhjjE9OijSKyELiglpf+I3BFVVVE6pqU4UJV3SEifYBFIlKkqptqbqSqLwAvgG8+kjBDN8YYUwfPTGwlImXAGFXdJSJdgA9U9ZyTPYjITGCOqr5Rz3ZHgLKIBestHYF9bgcRJXZu8cnOLT7Vdm4Xqmqn+t7opTLy7wC3AL92/r5dcwNnJNdxVT0lIh2BkcBvGrDvsobM8hWPRCTfzi3+2LnFJzu32nmpj+TXwEQR+RSY4KwjItki8qKzTX8gX0QKgMXAr1W1tNa9GWOMiQnPXJGo6n5gfC3P5wO3OY+XAQNjHJoxxphz8NIVSTS94HYAUWTnFp/s3OKTnVstPNPZbowxJj4lyxWJMcaYKEn4RCIiU0SkTEQ+E5G6yq7EBRF5WUT2iEhxwHMNqlHmdSLSQ0QWi0ipiJSIyD3O83F/fiLSXEQ+EZEC59xmOM/3FpGVzmfzryLS1O1YQyEijURkrYjMcdYT5bw+F5Eip65fvvNc3H8eAUSkrYi8ISIbRGS9iOSEc24JnUhEpBHwDDAVyARuFJFMd6MKy0xgSo3nGlqjzOvOAPeraiYwHLjb+X+VCOd3ChinqhcDg4EpIjIceBz4b1XtC3wJTHMxxnDcA6wPWE+U8wIY69T18w+LTYTPI8DvgXmqmgFcjO//X+jnpqoJuwA5wHsB6w8CD7odV5jn1AsoDlgvA7o4j7vgu2fG9TgjcJ5vAxMT7fyAVGANMAzfzV+NneerfVbjZQG6O18644A5gCTCeTmxfw50rPFc3H8egTbAZpw+8kicW0JfkQDdgG0B69ud5xJJQ2uUxQ0R6QVcAqwkQc7Paf5ZB+wBFgCbgIOqesbZJF4/m08CDwCVznoHEuO8ABSYLyKrReQO57lE+Dz2BvYC/+M0Sb4oIi0J49wSPZEkFfX9lIjrYXgi0gp4E7hXVQ8HvhbP56eqFao6GN8v+MuADJdDCpuIXA3sUdXVbscSJaNU9VJ8TeN3i8jlgS/G8eexMXAp8KyqXgIco0YzVrDnluiJZAfQI2C9u/NcIvnCqU2G83ePy/GETESa4Esir6nq/zlPJ8z5AajqQXxVGXKAtiLivyk4Hj+bI4FrRORz4C/4mrd+T/yfFwCqusP5uwf4O74fAInwedwObFfVlc76G/gSS8jnluiJZBXQzxlF0hT4Nr6aXonEX6MM6qhRFg9ERICXgPWq+ruAl+L+/ESkk4i0dR63wNf3sx5fQrnB2Szuzk1VH1TV7qraC9+/rUWqehNxfl4AItJSRFr7HwOTgGIS4POoqruBbSLiL4o7HigljHNL+BsSReRKfO24jYCXVfUxl0MKmYj8GRiDr0rnF8B04C3gdaAnsAX4pqoecCvGUInIKOAjoIiv29sfwtdPEtfnJyKD8E3W1gjfj7fXVfUXzlQIfwHaA2uBm1X1lHuRhk5ExgA/UdWrE+G8nHP4u7PaGPiTqj4mIh2I888jgIgMBl4EmgLlwL/ifDYJ4dwSPpEYY4yJrkRv2jLGGBNllkiMMcaExRKJMcaYsFgiMcYYExZLJMYYY8JiicQkDBHpFVgZ2aUYxojICDdjaAgR+UBEEnLucRN7lkiMiawxgOcTSTgC7lo3BrBEYhJPYxF5zZlj4Q0RSQUQkUdEZJWIFIvIC86d9IjIj5w5UApF5C/Ocy2duV8+cYraXVvbgWq+1yk2eSfwY2cOi9HOXe1vOsdeJSIjnffmicgrIrLcmf/h9lr238s5jz+Kbx6T+c6d8dWuKESko1OmBBG5VUTecuaT+FxEfiAi9znnsUJE2gcc4rtOnMUictm5zt3Z7zsisghftV9jvuZ2SWNbbInUgq/EvgIjnfWX8d1tDdA+YLtXgFzn8U6gmfO4rfP3l/juxgZoC2wEWtZyvNrem+c/prP+J3zF/8B3x/D6gO0KgBb4KhVsA7rWcj5ngMHO+usBcX0AZDuPOwKfO49vBT4DWgOdgEPAnc5r/42vGKb//X90Hl+OMzVBXefu7Hd74H9HW2zxL3ZFYhLNNlX92Hn8KjDKeTxWfLP2FeErLpjlPF8IvCYiN+P70gZfXaWfOWXfPwCa40sCNdX23pomAE87+3oHOM+pcAzwtqqeUNV9+OpTXVbL+zer6jrn8Wp8yaU+i1X1iKruxZdIZjvPF9V4/58BVPVDJ662nPvcF2gclgMx0WdtnSbR1Kz5oyLSHPgDvl/w20QkD98XJMBV+H6R5wL/ISID8U3OdL2qlgXuSET+B988KTtV9co63ltTCjBcVU/W2Fetsdby/sAaVRX4rmDAl7j8PwSbU13geyoD1iup/m++tuPXde7D8JUbN+YsdkViEk1PEclxHn8HWMrXX7T7nKuBGwBEJAXooaqLgZ/imzmuFfAe8MOAfpRLAFT1X9U37eqV53jvEXzNSn7zgR/6V5xieX7Xim8+9w74OulXBXGenwNDnMc3nGO7c/mWE9Mo4JCqHqKOczfmXCyRmERThm8SovVAO3yT9xwE/oivDPh7fP2F3Qh41WnuWgs85Wz7KNAEKBSREme9prreOxv4J39nO/AjINvpkC/F1xnvV4ivSWsF8Kiq7gziPJ8A7hKRtfj6SEJx0nn/c3w9r3pDzt2Yaqz6rzEucJrXjqrqE27HYky47IrEGGNMWOyKxBhjTFjsisQYY0xYLJEYY4wJiyUSY4wxYbFEYowxJiyWSIwxxoTFEokxxpiw/H8fGSCHiX8UNAAAAABJRU5ErkJggg==n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537d24bda0>”

]

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

}, {

“data”: {

“image/png”: “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”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537d187160>”

]

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

}, {

“data”: {

“image/png”: “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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537d1d9be0>”

]

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

}, {

“data”: {

“image/png”: “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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7f537d187470>”

]

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

}

], “source”: [

“#### Deviation in X-disp, Y-disp, h-Rise, Inclination, Tip and h-Twistn”, “#### Deviation = Bound DNA(parameter) - Free DNA(parameter) n”, “n”, “### Deviation in X-displacementn”, “fdna_bp, pdna_bp, deviation, error = dnaMD.localDeformationVsBPS(fdna, [5,56], pdna, [5,56], n”, ” ‘x-disp’, err_type=’block’, bp_range=True, n”, ” merge_bp=4, merge_method=’sum’)n”, “n”, “# plot these valuesn”, “plt.errorbar(pdna_bp, deviation, yerr=error, ecolor=’k’, elinewidth=1, color=’k’, lw=1, marker=’o’, mfc=’k’, mew=1, ms=4)n”, “n”, “# plot line at zeron”, “plt.plot([0,61], [0.0, 0.0], ‘–k’)n”, “n”, “plt.ylabel(‘Deviation in X-displacement ($\AA$)’)n”, “plt.xlabel(‘base-step number’)n”, “plt.xlim(0,61)n”, “plt.show()n”, “n”, “### Deviation in Y-displacementn”, “fdna_bp, pdna_bp, deviation, error = dnaMD.localDeformationVsBPS(fdna, [5,56], pdna, [5,56], n”, ” ‘y-disp’, err_type=’block’, bp_range=True, n”, ” merge_bp=4, merge_method=’sum’)n”, “n”, “# plot these valuesn”, “plt.errorbar(pdna_bp, deviation, yerr=error, ecolor=’k’, elinewidth=1, color=’k’, lw=1, marker=’o’, mfc=’k’, mew=1, ms=4)n”, “n”, “# plot line at zeron”, “plt.plot([0,61], [0.0, 0.0], ‘–k’)n”, “n”, “plt.ylabel(‘Deviation in Y-displacement ($\AA$)’)n”, “plt.xlabel(‘base-step number’)n”, “plt.xlim(0,61)n”, “plt.show()n”, “n”, “### Deviation in Helical Risen”, “fdna_bp, pdna_bp, deviation, error = dnaMD.localDeformationVsBPS(fdna, [5,56], pdna, [5,56], n”, ” ‘h-rise’, err_type=’block’, bp_range=True, n”, ” merge_bp=4, merge_method=’sum’)n”, “n”, “# plot these valuesn”, “plt.errorbar(pdna_bp, deviation, yerr=error, ecolor=’k’, elinewidth=1, color=’k’, lw=1, marker=’o’, mfc=’k’, mew=1, ms=4)n”, “n”, “# plot line at zeron”, “plt.plot([0,61], [0.0, 0.0], ‘–k’)n”, “n”, “plt.ylabel(‘Deviation in Helical Rise ($\AA$)’)n”, “plt.xlabel(‘base-step number’)n”, “plt.xlim(0,61)n”, “plt.show()n”, “n”, “### Deviation in Inclinationn”, “fdna_bp, pdna_bp, deviation, error = dnaMD.localDeformationVsBPS(fdna, [5,56], pdna, [5,56], n”, ” ‘inclination’, err_type=’block’, bp_range=True, n”, ” merge_bp=4, merge_method=’sum’)n”, “n”, “# plot these valuesn”, “plt.errorbar(pdna_bp, deviation, yerr=error, ecolor=’k’, elinewidth=1, color=’k’, lw=1, marker=’o’, mfc=’k’, mew=1, ms=4)n”, “n”, “# plot line at zeron”, “plt.plot([0,61], [0.0, 0.0], ‘–k’)n”, “n”, “plt.ylabel(‘Deviation in Inclination ( $^o$)’)n”, “plt.xlabel(‘base-step number’)n”, “plt.xlim(0,61)n”, “plt.show()n”, “n”, “### Deviation in Tipn”, “fdna_bp, pdna_bp, deviation, error = dnaMD.localDeformationVsBPS(fdna, [5,56], pdna, [5,56], n”, ” ‘tip’, err_type=’block’, bp_range=True, n”, ” merge_bp=4, merge_method=’sum’)n”, “n”, “# plot these valuesn”, “plt.errorbar(pdna_bp, deviation, yerr=error, ecolor=’k’, elinewidth=1, color=’k’, lw=1, marker=’o’, mfc=’k’, mew=1, ms=4)n”, “n”, “# plot line at zeron”, “plt.plot([0,61], [0.0, 0.0], ‘–k’)n”, “n”, “plt.ylabel(‘Deviation in Tip ( $^o$)’)n”, “plt.xlabel(‘base-pair number’)n”, “plt.xlim(0,61)n”, “plt.show()n”, “n”, “### Deviation in Helical Twistn”, “fdna_bp, pdna_bp, deviation, error = dnaMD.localDeformationVsBPS(fdna, [5,56], pdna, [5,56], n”, ” ‘h-twist’, err_type=’block’, bp_range=True, n”, ” merge_bp=4, merge_method=’sum’)n”, “n”, “# plot these valuesn”, “plt.errorbar(pdna_bp, deviation, yerr=error, ecolor=’k’, elinewidth=1, color=’k’, lw=1, marker=’o’, mfc=’k’, mew=1, ms=4)n”, “n”, “# plot line at zeron”, “plt.plot([0,61], [0.0, 0.0], ‘–k’)n”, “n”, “plt.ylabel(‘Deviation in Helical Twist ( $^o$)’)n”, “plt.xlabel(‘base-step number’)n”, “plt.xlim(0,61)n”, “plt.show()”

]

}, {

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

“collapsed”: true

}, “outputs”: [], “source”: []

}

], “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”: 2

}