{
“cells”: [
{

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

“## Analysis of major and minor groovesn”, “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/major_minor_groove_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”, ” * MGroove_cdna.dat (do_x3dna output from the trajectory, which contains the DNA bound with the protein)n”, ” * MGroove_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”, “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”, “* Minor Groove : direct P-P distancen”, “n”, “* Minor Grrove Refined : refined P-P distance which take into account the directions of the sugar-phosphate backbonesn”, “n”, “* Major Groove : direct P-P distancen”, “n”, “* Major Grrove Refined : refined P-P distance which take into account the directions of the sugar-phosphate backbonesn”, “n”, “n”, “* The major and minor grooves (direct P-P) cannot be calculated for first and last two base-stepsn”, “n”, “* The major and minor grooves (refined P-P) cannot be calculated for first and last three base-stepsn”, “n”, “n”, “* These four types of Grooves can be read and stored in DNA object from the input file using function [set_major_minor_groove()](http://do-x3dna.readthedocs.io/en/latest/dna_class_api.html#dnaMD.dnaMD.DNA.set_major_minor_groove).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/MGroove_cdna.datn”, “Reading frame 1000n”, “Finished reading…. Total number of frame read = 1001n”, “n”, “Reading file : tutorial_data/MGroove_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 major and minor grooves = Number of base-steps - two : 3 to 57n”, “# Number of refined major and minor grooves = Number of base-steps - three : 4 to 56n”, “n”, “# "bp_step=[1, 59]" will try to load parameters of 1 to 59 base-steps. n”, “# If parameter is not available for any specific base-step, loading will be skipped.n”, “n”, “# Four parameters are accepted:n”, “# [ ‘minor groove, minor groove refined, major groove, major groove refined ]n”, “parameters = [ ‘minor groove’, ‘minor groove refined’, ‘major groove’, ‘major groove refined’ ]n”, “pdna.set_major_minor_groove(‘tutorial_data/MGroove_cdna.dat’, bp_step=[1, 59], parameters=parameters, step_range=True)n”, “fdna.set_major_minor_groove(‘tutorial_data/MGroove_odna.dat’, bp_step=[1, 59], parameters=parameters, step_range=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”: {

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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fe5c3900cf8>”

]

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

}

], “source”: [

“# Extracting "Major Groove" 22nd base-stepn”, “maj_groove = pdna.data[‘bps’][‘22’][‘major groove’]n”, “n”, “# Major Groove vs Time for 22nd base-stepn”, “plt.title(‘22nd bp’)n”, “plt.plot(pdna.time, maj_groove) # index is 2 for 22nd base-step: (20 + 2)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Major Groove ($\AA$)’)n”, “plt.show()n”

]

}, {

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

“### Local major and minor grooves as a function of time (manually)n”, “n”, “* A specific local major or minor grooves 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 base-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 Major Groove 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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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fe5c3845b38>”

]

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

}, {

“data”: {

“image/png”: 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”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fe5c3856a90>”

]

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

}, {

“data”: {

“image/png”: 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tEB1pZR0Hqm1ETHyyRPLMO59ia2v7r7mrjpE4k75xeMWsa1JONNY7Z2lNWT9ZXGtdPlOGouKqrRzlR0eKh7CBKTDOM7Y7nxM+WIHn31uGbxy+S8VoqxbSLDaMcSTK7zjqsqzR4M78rSk9KMR9yiKpZXtGzmfbIbj9L6gTIRg/At/vrW4x90/Xbqk8cRXGqx/4VT5Wc77bxqQVq6X1S4MrkaRVV5aOzvlIKHJG0g6Rq7bC4Xlt6W0l9R2guPi6LS2JjzWNr1oad3UkVFspGUlJImk7uPvVuZi/YmNFz5kzknaIXLUVjqCtxI+6OvO0sbG5FasyzgpcDagr9Ti80+i1pfw2dVlJlVdLIRvxvK6NLC7Wb2nBT594D6fdObmi580ZSTtELa0MawHBVB0i+68D9X41hDCS8Te/gv3aQVbgJCt1YScwxVREJW2sJAQtmdlI2gYfKakdN25treh5c0bSDvHo9I6ROebxmUtwyV/f8G27c8JH+Ol/39W2V+c/VTIRCJNIPmkn9hN1go1jTDbaSKTvsz9dh/P+NC0BZdlA0JJeteV8thE+UjXkjKQd4pcdpCrdpQ+9if++9Ylv28+fnI27J87zN3SXkzMXrQEgT3j6QMSOYCMpKG6x8VRb0Zzkl09VdwyKZ5qV+281PdDaAnJGkqPDYNbidc4X1UaiGttDJJL2gkSqrSivLYmTDHCrTlYL4pmmVW2Jo3M+Eo6ckeTocAjm2lIkkpyRhMIYjyjt6N+jk/H4SkzKQiLZ0NyKIVc+gTnLNqTqp83EkVTJPJozkjaCh15fgNmfrsPW1iJufvZ9bKqwMa2WEZWYz2RsLypGd4EOwUgSrNS9mu0mY7v3vXfXpgRUZQeVxEkpU9e3FYlESIWVJjePbG8juOqfbwMAfvalvXDLi3OwtcC48pjdqkxVbaC1yGiKMfkHI9v9s05bcfVMg6CNJI6xPTqyXaQo0aESq/uAY0XijtJSUh1U2qaTSyRtDM0tzgSwpaVQZUpqB1EG1UCKFCV+RBVo6jvAW9GSRrVljGz3dlQ7/6XK7JKmkxcr/A4gpKZCB3hlcpgwZ9l6nPzH17CxOZ2abNbitfjKHZOqxtzi6vtNqVIEquG1taWlgFPvmIR3lqytyPkKAfffaEQb26XvVY5lUs+elBpxrTop6pYXPsRtL89J2HN5UK3bnjOSDowbnnof0z9ejf/NSac/vvpfszBl3iq8s2RdRpTFQ1x9v/yyvbtkHVZsaMZBQ7ctbQuLIykX3lywBq/PW4XrHtfHwMiY+OGK1MxfZb5xeKdRtVXDEknSCdZz/w3uu/m5D3Dj0+8n67hMqNZtzxlJh0a2w65apoXWmGkwZBvJsbe8CgAYOah3aX8140iizrxkzWacec8UXP7wjFTnUW0kWUCerNWJfPiA7qXvlbi9WdlISsbrNmI3K+UGqzC5OSPpwGjrwVaC7CjVVkAtUbKReMd1a/JKStaHGIrLBVNqdhWbXfXhB0uTubMKqDYSGwO4aCPbG4741Uul737Vlv/YSjswqKq1pKq2YohEUovwVHGVRWJGQkTdiCgv6JqjahA5sWKrtjRZf7s0eQ6MVZVIIk4tJuS0NgjVRhIHMg+a71YQBMIlkkojM9VaG8v+a7sgyRrWjISI6ojoDCJ6goiWAZgN4BMiepeIfkVEwyz7uZeIlhHRLGnbKCKaTEQziGgaEY01HFtw28wgov/Y0p6jfULEe7TEUNPIE7A813WVJZIadtHxyt2m6yeNjcRc2EpNPiP3X12JJAljW7mhGVsL1VEVJUaV+HecOJKXADwP4CoAs5id8klEtA2AcQB+SUSPMfODEf3cD+APAB6Qtt0I4DpmfoqIjnV/H6E5djMzj4pBc7tAuTxgSukfytJ7+SEkhzjFi4ocLLULOIxknx174a1Fa0Oz/5b6KXK2RnnLSyhJJClnDNVlOs4QsylsFVbKN22xKRuop4j7CjEzRv/0+dLvthJb1BaM7eOZ+SfM/JZgIgDAzKuY+VFmPhnA36M6YeYJAFapmwH0dL/3ArAkBl3tHuXWEsR9Rz5avgFfuWNSas8hW8xZtgFn3j0Fm7f63YtLEkmEsV2+vkKRfcZ2gS6N9fjjmaOdfi0CScpV8yXKVlFywU1pK08ymatu08H90nelifwMKqH2Uhlt3DNuVcZU2FNJW/PkV8/Mxi+eeg+n3P4a1mxKV+um5t1/mdlYUo2Ieke1icB3AfyKiBYCuAmO1KNDZ1f1NZmITgzrkIgudNtOW758eUKykmPu8g2J8/uoqLa+WcUvnpyNKfNWldyGy03ddY+/g4lzVmDyvJW+7YKRrN3cgtcsU2AUmbXxIzv26YomwUAs7ne1nomYkFPbSIrqRBvdnynJpbdfcv8NUZ1VQiIxlQx4c8FqLF/fHHn8lhb7yP+trekYya0vfYQ7XpmLqfNX4z8z062hvfopNRbZTkSjiejHRNSHiHoQ0YFEdB4R3UxEzxDRYgDzU9JxEYDLmHkQgMsA3GNotxMzjwFwBoDfEtFQU4fMfCczj2HmMf369UtJXnwc+etXMP7mVzLpq1yvXdYqs3IN3U2uJNK9k18TW1/nDN9L//omzrhrCpat19cKkekqsiSRSHd2+IDu3iRtQVPW3rNxn0TaJ2eaaMMg5n8bJqryClk1VBGJJOD+62z40m2v4fjfvxp5fHOM4Nq0NU9kpH2HqqWutpFI7gDwXwALALwP4CcARgGYA2BvAPsyc2/z4VY4G8A/3e+PANAa25l5sfs5F8DLAPZNed42gVpTbVUaQoUmG8QBL5XJSrf0bYuFJ1KhyL6V9eBtuuKEUQPRUF8nJSX02r8+bxWGXPkE5ik1sMum2op4Fqb8YHERV/VzwM+fx6NvLHLPHU6brn8ytCsXwgISl66Llkg2K4wk7LmoxdVUrNq4FUOufAJPKLVzdEgrSVQro4ANI3kNwA8AvAFgMYC7mPlSZr4NQDMzL8uAjiUADne/HwngQ7WBKxF1cr/3BXAwgOgw4HaAWlNtVdqkJ8qGyt5UL72/LDAhPDJtYWRfRd9k50x4YrVMGtfaR6c7k+fkuX61WlbqmSfe+gRvLlht3T5KvRS3H+93eIfyvZ6zbL2+T2lcBG6PNEFWYjirp4g7wQZUWyFr/Fc/DFerfrDUuV9/em1+5HnTLuqqNVVEem0x87eJqCszb3I9tK4mossAXI8EMwoRPQTHI6svES0C8GMAFwD4HRE1ANgC4EK37RgA32Tm8wHsDuAOIirCYYA3MHObYCSOG2ER2/fqkrqvrMbJsvVbUvdVKT3spmZndSirk865b2qg3W+f99Yfza0FbN5aQO+uTX5DrzTDMTvSidhdkkikPgUTryOnT10/aXCxu5p98LwDrNqLyTrt6dMc/vx7+rWj/HwC9dvldhWY7dKmSFHzxkUN9WXrt6B/D30xLzFWbNzK20zdEwVW7r/MvMn9XAXgciLaCcBPAQwgonHM/JLtCZn5dMOu0Zq20wCc735/DY4qrU1BdiN87cojMbB3fGaS9Ys3a/FaHP/7iaXfqQdvmScGYSOJ4/J67v1T8b85KzH/huN85Mn6bIZLunv5niHbay9UWESE86Ua5OWaDG1VW6lVGCndY6O6DLs/lcjDFYhsj3l8gJFEtB/7sxfw9HcPxW7b9Qzsa43BSNJ6lIflBisnEkW2M/PHzHwWHPXSFUSUjVW5HUIezzbeIgKLVm/CGXdNxrotLb4+bMbHngODg1lGwJusxhdBYjKPM9n9b46nipIPK/gkEuezpNoCBdqXVpNEPhVG1jYSWyZpKsaV9nxZRESHJW2UGUu5o6+LRcZFD/rtFq/PW4WLHpxu3ccWxRPLJmZo3vKN2u0lqdbtY2NzK866Zwrmrwi2FwzgykffwrPvfGpNr3quSr/UcSLbA5Qx8wxmPhrAtaY2HR3yKxPn7tzywod47aOVePKtT2KvfqNWfGn1+6aEeFGPf8bCNVi5wZ6ZqidIOnfL96/gm9CcfSWqNa61QhpSV5PFoiPZLVun9xRLClk6ZGb8dcoCvPeJl1VZUJZWIkobsCdDVOuUu1D7kx0hyq3ZWru5Bc0KI5g4ZwWemmU3MTMznnrbbxhPM7HJ6lEAeHH2Mrz64Qr86hlz5uC/TV2IC/8cZHwrNzRj5sI12mNe/XB56piWpIgjkbxERJcS0WB5IxE1Aagjoj/B8b7KIUGelOJEx8qr47jvXZT+Piu1jHo1UVd34q3/w4m3/S/2eTy7QDK6faoq2bNL2EgU1ZaMZ99dqt1XYMbxv5+IcTe9nIgmG/x96kL832Nv45jfee6qphoqcRFMapi8rx/84y23E2+b+qzkCa7cNpK00uJz7y7F36YqjhspOIm4dJGJQcSdNDUEp9+oxdgXfj8RJ9wafIemzl+Fs+55Hb9+9oPkhKZAHEZyNIACgIeIaImbY2suHA+r0wD8lpnvLwONbRpJh7Q8nsLei1mL12LIlU/4tkW9qAGHmpi0pcHCVZsTH5v0XnKIRMLgEtPWuf8KBCUSp9FGKdr+8odn4OAbXkxIY3DbkrVBaSc799/w33Hwwafr3T6k+6wsZuRU/+WWSNJK3Es1Kmir7MiGJoKeOiUTQ5Mmg0JkGQHNmACAFS7Nc1dkEwQdF9a5tph5C4DbANxGRI0A+sLJfaWXs3IA8L80SRR/zHrD6t+mLsDXDxqCZzR61AIzikXG7RM+wlkH7oQenRuVPrOdhKyOSXHOtJOnyUby1iKnGqEnkZjzWKnSpI6Wf76x2I4eZuPKU96sU8uLs1bK/Xfq/FVYtzk8YYXWSUGZzGXVVrklktQBghr60hjBxfWWJBKXkTQ2BDtNax2oVtr7OEkbS3BToURH1+TwTUqxVFsREsmWliJO+uNrOPPAnQL7ikXGv2Ysxo1Pv4+FqzbhFyft49tfaTVqa6GIVRuT5xBKM3myy1QFdKvVEiMJOU8dEYi8fWlWvUUGbEqe6MZLydheIYnklNsnRfblJZKU+gtRbZVbIonrmr2xuRVEQNcm83SYZmIuKF5bJdVWfbAKByHes21uLWBLS1Eqg8ylfiqJvLBVmZFcIvFWx6YV3JpNW7W1M4oMXP7wTADAxuZgqodAZtaEb4ntYVf/axbG/vyFROcAZLtA/BlITtIIBLPeAt71h6VIqa8jNNZ5r0uaVbXuOnS9aSWSknSW+PT+jsIISNGlaqfwu13XlkSy54+fwajrniv91h2dxkVe9doKk0jq6uItUk69YzJGXvest6HMTNqEnJFUEHEGo6wukMfGXa/OldoQdIlq5YGom+zDgsXKgbSJ6Fj5jIMCs2/S1eXI8gISRWR7sE0dAY2SGJFGqpuz3E6PrWPw5bORBPv76X/t4n11KkH1/viM7WWWiJOUEd4aITGlkUg81ZZ7Llci6aS1kZCVs4B4h4UH18QKJVA1IWckFvhw6XosXpPMSCyPiSQrMYZ/0vhEMrbVkd6/XW6vV4/EJsNPU4YeP3bncz6TRJMXi3569RKJ/1NrI6kj64C7KPzoX7MC23RSii/RoXvtmcWRsF/i0V3O3RPnWfW1ckMz3l601teH+qwq6rVlwUden7cKxSJjwgd2mcF9kfkxjpPpUY3tjTpGQmaJ5PV5XvUN9RY+OHmBu706rCQ2IyEHZxLRNe7vwaaKhu0Fn/vNhOTeOHL+oRgLpdLAVUUSuQ2RVrXlk0g0x2Xm/kvhv3WwKRplQhKqi8z+CU5z7aqkaLKRbJI8tNLYSMIinGUpRG6mVoFMO2EUmX10pOlt2fpmfOEPE43ecTv07uIb++WObLeJpTj1jkn46RPv4Wv3vm7XqfRcHpg03/44eBKS6v7bqHH/ddoHb9DSdVtw6h2evcoktVQia4AOSSSS2wB8BoBIdbIewK2ZUdTO8Nlfe0H/RWZc/vAMHBkz9sA0Ngj6SYnVRgqqNdgAoMHGymxAEgZYYPYxc11997A4kixpEWios3vtZIlEeD15xvbEpy8dLzOtLNYWPolNGmQPXXCgMk7LLZHY9f/OkrXa7T/+zzuBbTL1y2MG1QpyvEJszgadRLJ8fTP2vvbZwHa1iJxp/Imx3hZSpBzAzBfDSa4IZl4NoClTqto4/umm2wb8qihmx0V0riY1ggricqpLAAAgAElEQVTZE8Y0aJpbi3hYk/FWbq5TbWVRzzopbCdRLRKQWSz6JRLdJBNIkaK5Hy/NXoYTRw0M7ccWOmaqNfDKEom7is3SRuJTbWWSIsX7Lq+YifySaLkWMsUi445XPsJqyyqDcciQn0X3To3mhhqIsSIYtxrpLuMNy0zQJu2G2F7p5I9J3H9biKge7nMgon4AqhOXX6MQHlMq4rysPmN7yGEfLA0abuWJUDecgtXxwtHcWsDW1iK6NNZrvcDiQF6Zrt3cgm5N9WiwKG0LJJuACkUu1SsBwqOedfEQAve/Nh8n7btDKloEwtR78h7ySSQuI8ng/IAzRupCJJIkqjOfakshUDDPTg11ZVm4MDMee3MxfvHUbOy0bVerY9TEjGGQ71WPzt60WV9HkYuKkrHdHeZZTPFGiaRKNpIkjOQWAI/Byfz7MwBfBnB1plS1UyR5+ZnN7r/m84R7bQXoiOj+1DsmY+bCNTh97GA89PoCHDKsbyx6ZMiMZOR1z+JL++6A33xllNWxSVbNi9dsxp0TPE83nWtoII7EeH4PaSZDmyywgH/FKnJHZTkJ+xiJsi9ZTXcP6hgU1Sw7NdSVxTnjjglzccNTswEAazbZVfwWAak2kJ9YXEZSiiMJ1L3RncdubJgWRNXSWifRMwwA8EsAP4cTlHgiMz+SKVU1jE1bW3H+n6Zh0epNsY+NMwn4NMoxR4c8rsXA/P0LH5YKP6kTchRdwsXwcdeNV13Jif5s6BSTqFg5PfamORr8rglz8eDkjyU6o/tXsXKDX82h8/wqpUgJecGd85tX3HGgVe9pupMZjnBPzWoSdmwkygYJSaLD5Xvy5NtexgUiKrlOd2qsL4tE8qJUI6W1DBG38r2SU5vYOI+oKVKygMmDsUoCSSKJpAeAOwGsAvB397PD4Ll3l+L595aia1M9bjk9XqXfROoCJGEkQYnk1885ydxOGTNIo8aw61e8By2qaiwGfeLFs5mnfvbke8p52Pdpg86N/uhhm8h2kxFWPq1aejcOwhwO5AlLdTl1aMhmpmCEe20lySJrYj6yU0iUqjYxpJuVZQ31UvcG6c1GulRTpGSBIgNrNZJXKbK91o3tzHwdM+8J4GIA2wN4hYiez5yyGoVqMIuDOONbXh3HVunIEkmEe7DSPBTClrG1VT/J2PRTciJIpIN3PuNIA+pz0jIS8el+ERl/A+eXvl/1z7etaVDRr3snq3bysxNkZzVFOmlazDYSnXdbFEzPhQg468CdAADbdmsqfz2SMi/L5e7Xb2k1N3RRyv6rMB0dlf6USua2hSLjjLsnB44v5dqKpCpbpAlIXAbgUwArAfTPhpzaR5QePQxJAuqykkhM+wFg/oqNGHLlE8Y6BwKCCYiSs8H4C/OKtNRHnaDBTJ8J4iWLkyZcXZ3qjhUqh6hUMWET1LtL1hn3CXRxpaOunYKKgJLbpkyXj5HYqw9toCaODOTGShAdbpJiCIQLD9sFH/38WPTq0liWyHb5vpVDIpGR1GbpjTNnuzZVTsQi0GvHeEc75qqj20oSkPgtInoZwAsAtgVwATPvE35U+wGl4CTxJBL5uLgDV+rHgo4XZzv65Uclt2UdhFpqrqESnOh28tyV+N+cFdo2Xp2V8GvSJXkUE1AsiURp+/HKoG3LmpeFnFZ2+V5iyIJQYoSamZRLjNWj5vn3PMlIXHPS1fb0j1fjpfc9OwIjfMWbRCIxHUMk0vkQQM41TPxwBSbPXaltHwcvvb8M0z9ebV12IQvE7b65lKTRmW7V4mUy/FkpzH0aje1VspEkkUgGAfguM+/JzNcys11CHglEdC8RLSOiWdK2UUQ0mYhmENE0U7Q8EZ1NRB+6/2cnoD8VbCdCHZK6VMY9KkoiUekQUkLUBB2lDxbdnnbnZHz17ikAHMP8Jsk4r7rYmnr8wSNBF2pBXRxGoq5OtVXpLDlJ2CQu1yU5854p2jaeas68T4Zg8PL+pBPFyX98DefcN1U6IULdf+O4xgoYbSTS/a0j5zmeec8UnHZnUDUTF+fcNxUn//E1bN6azi09DuK+x0KC79ToMhLfItHfVh4bYdnCTa9AJWPCZCSxkVzFzDNSnvd+OIWyZNwI4DpmHgXgGve3D0S0DYAfAzgAwFgAPyaiPilpiYWwWIMoxJJIQlYtYRAvqq4fAHh61qeBwVZnafeJNiwGj//8bydo71XUJa3V1MAQ9MVRjdgk8LN1uQyjWY48Vj3FSsdb0GSiJKv08TItYRLJFY++FbtPk7eUfH/riMoS6zAzhitvEsg0m8g3bW9u8adIkaG+c7YVVY1eW8YjyotENhIiGklEl7j/I+Mez8wTEPT2YgA93e+9AOhSxn4ewHPMvMqNqH8OQYZUVpQ0W4YnJqsPVJgm6gcmzddGqAvEee/q6/wvqjoWp8xbGWBoQp0iVvqrN27FhQ9MC3iFBPiI8ltHp6pKEod43iX6l0Wb+kWs6FPYSHSwtdOEyYaibrmKNxasxg//MdN5JiESSRTENWc1UUTZSKbOt4uwlmEjkRD5F1RJ7IbVgHx7TO+x6VKERKLuZg72ZdImqKc00lAMf6/KhSQ2ku8A+AscA3t/AA8S0aUZ0PJdAL8iooUAbgJwlabNDgDkGXeRu01H54Wuimza8uX2mTqjoBaQUeFTHygwHXPNv9/BD//xFloKRUxx9cZ1kuQT19tLbq+uagikkUicTzHB3fXqXDz77lL8efJ8X7tmxVtr4apNJRrj0Ad4L5VpuOsZiXNUHNdUGzWYrXt/kc1SmayGknHm3VPw8LRF2Li1EG4jiTi3rlZ7mngJhqfSzAq6zMpA0IFAZloiPmbq/FXY0lLAax/pbWuAY3v6yDIFf9aQn49NnJEMIZGo6lw1oaizzfseJpGYxnVbkkjOg5Nv6xpmvgbAgQAuyICWiwBcxsyDAFwG4J40nTHzncw8hpnH9OvXLwPyHKgTYTyawvf//sU5+MqdkzF1/ipfSvM4VpJ6CjIKGXUUNIqqqq3SJK8MZFVvfs2//cntbKgMSiQmOjWMxP0UL6YNxAv37c/uGkKTvWpLx0hen7cqktkT7CQq0/0Q/cvP9pYXPgw/aQiKzKHuvwcN3TZ2n2ZjO/m+q/fq/U/X45TbJ2H3a57GGXdN0ZaPBoCDbnjRlwS1WjA9PdN7t6XV/97IBdTCJBI/Y1bbxSSuzEjCSAiAfGcKyMZt+WwA/3S/PwLHBqJiMRxjv8CO7raKIVUcRMRTXrza8faZJ3lFxQ3gclRb3m91Yqqro4AaxpNIXBuEYZKPyokVh86otmF1Vppb7Q2rQt0SFgxmrdpiRqOGrmXrt2haa453Px+cvACH3hivLEEpIFHaZlsgS0sLh694996hV+w+W0yMRPpeR0F7w/L1zaXvADBnWXWkjjDYqLZMY3qLkEhKmXm9hVvQ2M6+40RROLWdWb1WHU6SJLL9PgBTiOgxOGPkBKSUHlwsAXA4gJcBHAlAt9x6BsDPJQP7UdCrwDLB24vWYvkG/yQRZSMJg07yl91ce3ZxHsfazS1KMJr9ydSpIajaCpbfVW0kYrZSjz1o6Lb49wxztUMr5qr40AtpQNzrI3cbAEBf01x0r6rYwiCuKTSa3LIvtYZHXMj3Z+GqzcZ9byxYHQh0E1JMVhMFs6KDj5k2RweTE4EarS9PigwOqMRsgvwqDd/9iavaEjYSZXeUjQQAbntpDpau3YKxO29jda5qqbZiMxJmvtmNIzkEDt3nMPObcfogoocAHAGgLxEtguOJdQGA3xFRA5wU9Re6bccA+CYzn8/Mq4joJwCEIeJ6Zi5bipYv/GFiYFuaCnW6h3/VPz3vmE4NTsCa7LHEiGuD8P/etDXINNTaBqpEYrJfRKlv1N06zysTIxb3evZPjkbnxnrthJ1EIiklzAtjAJYiSWuRtVKZqhrb3FJAc2uh9DwBocawOQvhpNteC2wt3S9NH62FIra0FtFdE+gYBrkehm6Ss0Hf7k1Y4XqpqalzBAJeW9JFMAf1/Rua7ZIuVhJpjO0trc6OdZr3oVBQGYl//+xP1+NnT76HI0b41fMmG0mbSZHiogB3jkOCFPLMfDozb8/Mjcy8IzPfw8wTmXk0M49k5gOYebrbdhozny8dey8zD3P/70tIf2KkccPUPXtZOmhyV81rN7f4Jty4qi0ZD72+wPe7joANCiMRL3pBuTZ1MEa50qp0jrwuWKBHoPQyKufY/ZqnXTrNb0IcG4lQ44Wqtiz7aikUrSSSra1FjL/Zr8t/eKrZKw+IXph4C5hgyysefRt7/fiZSLp852NGz85eXQ21V1sHDzkBpdH47/PaIp9kzgh6e6UtVVBuxLWRiGd2x4S5eO7dpZ6dsMj4nWLnMnmxqYsys8Hf+ax5RiJ5bfVFtl5bbQLiXUkikeiYT5cmb9UqBkFza8FTAcU0todNwIAzwDZu1Vdb8+qCu22VKTbKU8SGziivLXGL9LXmhURiz0hmLXbSSIQxgKh7JlAosjbbq+5wVXV1/X/t4nYjje3SpT/59qdYu6mllJGgtVDElpYCLn3oTWN0vQDDnw49IJFYjrnGBo/gZ97R5yhT3X/f/cRL7cHMVi7A1XYTls9+s5sANdDGwnby9uK10rsNPKs4FtjaXwpFxtB+3cIJrSCS2EiE19ZGACCiXwKYBOD3WRJWq/BW7fGP1b0LnaS6zUJl09xa9E3iSZI9ypCTLBKoJGoLCAahXpva1TRDbEEc6czWa6teV0VQZrSWEIZc24y7YWgpxLeRxB0nHy5dr92uM7YDwJ8mzUdDHaG1yGhuLeKl95fh8ZlLUCgWcdtXR4fS1V1mJErPtnQ3WRQlC7tjOolEx9jjxA6lgXEsS9vFmFJhek/lzf17dMIi16mmyIzOTfXGtjJmKHnwiqxn9eVOiGlCLXlttQmIgZYs+2/wGHmFu8EV6WXVjaPaiiORBLfJ6SOcyHd/f+JF9mwkYpL3d7ZSk//KBwsybXOV6QaUJ7GFSyTH7b29dIxzUJjUEUe1pauzncXgF494viYXGGBWqdaRZ+tobi1KsQrhVDEYnWUbjvI85LG6TbcmXDxuqLYf3f1QIY8jVf2ls5HoxrBOGi6HlJImPsPGk6p3V0mdyF4iz6jza/vUNK2S01YiRnIfHK+ta4noWgCTkY3XVptAabJNJJF4B+181RPY0lLwZYIVRvDm1oLiUeNH50bzY9NNmH94ydPD3vLiHKPLoXptcSfIb/31jcg2YoIzqc8EtKstodrS2Ei+MNKrp66LCA4tb2t5oa0GiaQS+uj5KzdhyJVPBKr6yUWjfJJaBE1FDg9IVMe3iRH36doUfiIFgeh3DSPR3WO5jRgH5ZBS4va523Y9St+NEolBbcgI1suxrdpYKOrfEXmOuebfs3DwDfHczJMiFiMhZ2nxCIBz4KQ4WQXHa+u3ZaCtJqGu2uNAHlDCf37GAk9kFYZhR7Ul2rFvFTp6pz7YaRuNbtSF7iW869V5vt9RNTpMxnYd7n51bkl1ZlPiVA60tD2HR5fzqdp4AP8qVr4Hr89fFdgWpMmOiJZi0ZAvyerwVHjerZHyyHS/0Z5kiaSliEmWGXWde0m486zR7m/vIh6ethCfrN0stWUjI/nSvtrEEsq5vL7VWjYMDow/3fOQGZBonyRDcRRMfOSRaYtwzb9nBSRC+V0y20iCtIvtqkRii6IyL3jbnc+FqzZjytxVqSp5xkEsRsIO5U8y8xvMfIv7H8v1t60jTV0IXUZV2fAoXHWbW4u+5JDyuU4cNTBcIrF5oqpEojAOsdvGCP3TJ97D3ATVAiML8OjEdnfjBk2cgfy+6Cb7cEZi3OWDqSrif0Jia+wRPqBMtrk6Ip9q669THC+96EtiEAHjduvv63djcyt++I+38LxUurbI/ns0dudt0KNTA/576SFW5WNlklWJhDm4TactkydE0d6UkiUNTBPvp+u24IFJH+Pl9/3plmzyhslbZZXUpq0F7DGwp/aYKJhsJDLeX7o+1DaYJZIY298gov2Z2ZxUqh2j5LWVgJFcqVTV26roi8UKq7m1YDa2E/niEwS+ftAQ3P/afO3k36tLo8990CSRlFLki0m+jGMwyu6je03EfVDdl9X+dJNbKCOJkSJFd082JUi5HhelXFvKdoLnOSWrtqKkLGbnWNVkpdPzM3PpHn37yGG4/KgRpX0fGJwDZDSGuAgzgm7luoWAPMFvLRTRubG+LKvtKNunuhgcNah3KRLfRrVVlFRS90ycp21vBbabg2xsWFkgCSM5AMBXiehjABsh0gh1kOJWXhbW9INYraEgqtJtkY3t8E+SBK+ugcCw/t1LbXSM5Lh9ti+tVEWfMsQKL6B2sr4Se4gJ7iV3ZRcnS6m4Deu1jMT7Xi6JBAA6Ndbjs7v1xwtSksYUwe4l/Pg/74TuN9nmVIlEQJB078R56NcjWNqXgVLBKblf3eQcNtLD7t2NJ++DkYN6+1zctyrqKGYOSCRR5aHFgsuUkiUNooQcmbS/X3ggRg7qjX9Md9yvbYztBYNKKi4YdnNQYw1LJJ/PnIo2hKLhhW5uLViVW1WPkSGy2haLbCx+QxQ00O3ct5tvvwq1hG7QJ93/9pRyHWk6E66mafGjf80K3b9L3+4AnBdBTBjihdSptny1rjUze6ixPZpcX9vdtu/hYyRZvKpL1+ldSgW8OVOddD0XXNkJQTw6NX6FmTF1/uqSlOFJJE6/sqrVO8hMV5j6s2uneoyQjNGASSKJHk+yGku8J1lLJK/PW4Vh/btbt99jYE/fuyi/V28tWoPhA3qgc2O97/1tbingjQXhJa1tYBuo3JB1imcDkhS2+lj3Xw7iahFqGhGBn/z3XXxJk9oiDJu3+l8qEd/B8KcSkSdJAgUYCcFb6en8+tXazkHVlr/95LmOgVo39560X7RxNQxql1GT8KBtupa+C6p1tT9kXqiT5utDXqhYBn8EJZ6wyTQrv35dGnkBoQffWohWsT325mKcesckrN7UgjqCzxYHAGfcFazu6Ojj41+H7r7obCQmZw8ZchvBSLK2kZx6xyRfyeQoCMlJeG6J92rpui344h/+hyvd4mDy9dz60keY/nH8Wi8qGMEU9DpUSiKxZiREdAIRXSz9nkJEc93/L5eHvNqDyZ//7QQV2lR96/uuvrkoKeMfnrbQ93LXEbB9r86+44iAZeuc5JIDevr36aAaBYVEoqoUdLaDqAzAUQjMLYZx7tXu8GgV91xVj8jtAZNqK4SmODIFs5WB2YTLxg9PdJxpAVNHnlwhz6utRcYebroZGXKcChFZlUXw7YvBRHW3See1FcxsGzzOPw6C27KCyaFC4JsPei7u4voeveggAB7dIunkW4vXuts9OldviojFyhiVspHEOcsPAfxH+t0JwP5wki9elCFNNY1SOhFlDCcZ0psNRlqZRy1WUl0QAZd/LjgZfeoykoG9oxnJkrX+jMYfLHVUWYE5XjMR6NKox4Hap6k3cX9lF08ubQuuRH0FgbTG9mwkEiA8b1cUmqRMBnF05WLSXKUEhcqXKk9YK9Y3BxJ2uifVnyCEljAyw26F3o1XeXaavnW2Bh0jyULFGjy3fVvBwIVEaJPMsVeXRm2buFADlS8ZN0zbrlJeW3EYSRMzy07sE5l5JTMvAGAObGhn8Ly20g9infcR4KzSTI9fr9oiXDZ+OHp3bcTwAT0MR0YjULtEQ0RaiWRTc8Eut5Img4D4rosfkPvUTfTqtQzZ1lOZxTL4I8io4vAVWdUQZwiZ2vrLDXjbdbE2gH/eFocS6RdCgtYwtVa4RBLcp6YX0RmNdWeTmYYYB+WJkbDvU1xesEaRvw/ZppcV82PlLP17dsLu2wddiWtRIukj/2DmS6Sf2ZUgrHGY0sjbTApqsaCrFHdgq74M7+34PQZgxjVHoVtTEv8Jfdd61Va6Fc7cFRtx60tzvHOYJiLNqlPclxaNblxOYa6TSNRrGb3TNjh8eD93XzwEJ0j7HmSJJA5MEdfypcqLG10Kf8DPmMU9cdwug4sj4ekWKpGE0KxbiOy2nX+y0xmNo2wk5WQkccwuKiMplfNxPwnAo9MXlbQFANASI+FoGJxAZf823f2uRUYyhYgCJXWJ6BsAXs+OpNqGyQ3TxhhpO/BN8QpA9JSVJvYjMKlrVVvpB+bEOea63ADwygfLcceEuQD0E4hOIpHVXbqVsLqJmX0rclswB+0tz7+nz3qrg+wMEWcaNElxJonElGVA1gp6109obi3g+4+85WsrnnXouiamRPKX8w/AyB29BZU2Xkgz18rj4PuPzMTSdVuqEkciQ1yfmMB1parVsaFbBCWBTpLT3e8wb8UsEWdWuAzAOUT0EhH92v1/GcDXAXy3HMTVGuYu32A0etrAdpAys9HoF6WGsU2Jru074jeQjc5Vvg06cs++11uX6OwhLZptMnPRLcLU0/hX5vYohqQLsYG/mJT9KDKNHb+buNfGVLNFd90E4IX3lpXS0QuIZx1GZ7iNJLitT7cmDJVcbHVeW7prlSXTNxaswbX/eaesNpLdtuuBP5+nq/btoXT/QiQSFVmmdWEGPr/nAHx59I44ZfSgtiGRMPMyZj4IwE8AzHf/r2fmzzCz/ZKsDePIX78SqN0hEDUn1FEMiQQwlrTVDU613kNSBG0kwc6yGJgi/xUQPYn7UlAIiURzH+WVntawrpyoyN6muF5YqRiJpNqKMw+aVFv+DAiSGtCw1JHHbZREJu5jWMxCXBuJup0RZBy6UwXzcUUXWksCwTS/NW4YDt01XGMvX4dciz4sj1xmzI+d+7RNtybcdMpIJ+hTJ5HUakAiM78IoDIpJWsQYZNZGBrq6gKTwcBenQMeVEB8Lxl5W5pJTp1tdV1lLSoTkbEGB+D38gnz2pKllCbNy6PaSHp1acT6LS3uPns4qq0YxnnlWcq0xVGjmOZMv41Eam/o2ufdRsJGQnoPvZKx3UMc65CZkXjfdYWtory2AKeoV9REnwTiLDaPWA0a/v2Lc7Dv4N4Y2LuLs7+M1TW8OBI/M1NRcxJJDgdCNJUns+feXepFgxtQX0eBF0YXDwGE21ui+ESWEomWkUQMTDm6X669YAIz4x8hQWB+G4mTBVdXs0NWGegM2vK1HDa8H646djf9TgvYTDJytgEZ8osdi5HEVG2Z1FG+fiTdlk5lqnNrVXsNM5mZ7pNPImGNK737++lZn2K+q+LVSfP/nrHYfPKEeOxNp08bF2/dPbv84Zm+3+UKGnT65chFZM0FJAIAORiU5oREdC8RLSOiWdK2vxPRDPd/PhHNMBw7n4jedttNS0NHUqxzV7HywL7ggWmRxZYa6igQN6LT9QNRXjLhq+10Ekk0HVED89hbXi1933dQ7+hzIFxv7IsfAOP8B/SPXb6XUcWnzv7MTuja1FCaCGJJJLBzF+7eSS/sy0wuTm1yk1pUpmWjFDdikkjkfmSvLa09TFJtmRC26jbdJ3l7ocgBSV0wwW8+OB3jfv0ygPJk+g1DHJdwGWs2tcRO6JokjYlQN8pUat31azFFikgjn/Kc9wM4Wun3K8w8iplHAXgUwD9Djh/nth2Tko5EEG6VcVVb9fUUyKekU9EA4brzqPGdhpGoLqA6OuIMTJuYk2KRjfdBpSHsBZWfh5aRkJnZxvPasjO2m/TkMoPZ/2fPW5/XxEhkWqLylwF+W4tsI9Fdk7aIl/o75FaYVIDy5pP++JpGteV9D4tizyCUy4i4JZVllIztll0kURczxKLG26ZjfrWs2nqDiPZPekJmngCnIFYAbuGsUwE8lLT/ckMwkriuh7rBYs5eGqbaCh906QQSf5Gh1kIxEOsSZbyTX0AbsZrZHwMS3tbcTvbP1+Ub890XC6eCMNi896YF9O7b98TYIdvEOh9gll7jPu6i8nydPvQ2EpsJLtz917Td27Fq49aA2k6nxtNlgZgyTzuNaPGHM/a1bguky+gsq6ZtwgKSGsTl9P6AyUZSg6otFwcAmEREHxHRW66q6a3Io+xwKIClzPyhYT8DeJaIphPRhWEdEdGFRDSNiKYtX748rGksiCjVLERttR6JQOwAMJ+eNDk9Rfav7GcsXIOHXl/gaxM1MOW9YWlJvHMyCpYukes1WX+vPMaxdcjMSNTnMNEVkEik71GTPLMd4zFdUX0d4cjd+0cer8IkAcddOMiT9IQPVpT60C2MbCa4sPFmYjLqMeproFKyeM1mfboXC9x/zv74wedH4HN7DMBJ++2An564l9VxafKpeRKJXR8270nwHByQSLRxJDXMSD4PYCiAIwF8AcDx7mcWOB3h0sghzLwfgGMAXExEh5kaMvOdzDyGmcf065edd4cY0HElElM6FB3CjLDRxvY0LwD7zq2mYgGiVVvy6W3ychXZPkhLBCnKOH3sYADASVLJV71qS/qufkr7Ljhsl1AaWDFwGtsZ3XXjSxFAMNlhqb+YncmTtphkCHpGJSamr4wxm0XDbCSmx6+O0YD7r/L74BteDNTuscURI/rj4nHD0KmhHjefOsroBKEiTT41AdseEqu2AjaS6qm2krj/fkxEI+FIDwDwKjPPDDvGBkTUAOAkAKNDzr3Y/VxGRI8BGAtgQtpzx4FgJC0FxtpNLRjzs+esjttiCBDTYXVI7XO9sd1DGhtJkf0MspPG+ylSIiGCWFParIaKzImCtC4eNxSXjNsVXZrq8e71n0fnhvoSo9EzuxAbibTP5u5ZSSTs/5SPTfKMjBJJTLYkT9piktm4taANgCUivHf90WhqqMPvXtArCZJJJOGMRLeuMOUOiwvbFDVZOK28+8k6fX2XwLni9y3smfI91rtw16iNhIi+A+AvAPq7/w8S0aUZ0DIewGxm1vqCElE3IuohvgM4CkC0dTFjiNTvxSJj1pK1oVXazjpwp8zPr48j8TYOlup3xAXD/xLrrizqBZP32hjbmZOpCRvr60qV97o2NfhUETpmpwvaLG2T1QMGkk1QP0YAACAASURBVK8+bvcSvTaaiDB33Qwd6/DDR9/CsvXBWCQT5IWCzpYkgwB0aaoPNzyH7OqikWgBnWrLo6mhjtwYCf/9++/MT0JptUXUNQuIZ/y3Cw/M5LxhSKZFCFpf2kqKFIHzABzAzNcw8zUADgQQyMFlAhE9BGASgBFEtIiIznN3nQZFrUVEA4lIeIkNADCRiGbCye31BDMHCy6UGcLoV+BoFcdpY1N5SmuhO+XZn/EYVpwKbyqY/a6YOvVdnJWabhD37d7k+11kTlQyNYwOHQPz2drdH+JS63yrumC/23Rr8jFoWxsJMwfcwuUaIFlga2sxsrqiDLkoWFQci80cFFohscnASJSOVXVqURNbYrOyt0FcieTAXbaNfY643mRJPHTZddvy20iC7dJm67ZFklSxBEBWWBYQQ+3LzKcbtn9ds20JgGPd73MBjIxDaDkgVFtFxWNCh3JEture2zGSgbi+jnD/Ofvj6/dNjd23mvdIx0ii3CJl+nQqJp1aI0nyvTA6dLYZnwrAfS7irDLD002MssuvbRxJkRkPTPpYoUGcv3p4/j2vRHCUt5xN8suwa+lmiKVR+5DVvp0b6wK2uixhy0jSuP/GpT2pGo0RHUNWyzXb74OTCfgx9/eJAO7JjqTawS79umHucn3yxGIxWkVhSuWdDtEDI+mKt6i8wLoXItLYL9GnG8TqC5o09VAYHSaJhEh4XYlzOyev8zGSYH9FSZ1VR5Y6bUYgCWIpJUk1OYmEqJTmNnSGeTd162RSbfmPkQ3pnRrqwezUT1fRVF9n9HS0hbVqK8VDuuLReE6sSc4lJF6dylZGlkkiw5CkZvvNAM6FEwuyCsA5zPzbrAmrBYQ94AKbi08J7LdTdGR3XFi93EobW08VVSL5WJOKJGql5it5q2mbVeR9uGpLv5L2JnLnU1yqLJHIjg5i9SobNW2N5as2bcWHS/1pc8Rpssw+kAYm21TnRue65QXJeYfsjC+OHIhzDt7Z1zbsSkyTtjosNkkxIp0a61BkxlfvDtaO32NgsHBTXOgcSHRIY1qY/ak5d5wO6nC46ZRoxQuzkEjkfoJEb2lN5u0WF4kUaMw8nZlvcf/fzJqoWkFYAFyhyKEr/6uO2Q2dGvQrsnIjaeS2qmZ65YNg/E2UW6SsptAyEosU7zYIo0NXM4VA0kTufIrnK9+vHaRSxRceuovbzjtffZ2dwnLNppZAEF0pJUkGfGS37ZJXwhQwrVaFSlIms1eXRtxy+r6BUrFh74Ct19YWSSLp3FBvlFJtpYkwVEK1FRfq/fjy6B0jjxFJG6NsJKZyAlnD+skQ0UT3cz0RrdP8zyOib5WP1MojStUZxmgqI1Dqob6/titgJ4FeOOVx1GbatBsWencbhKu2bCUS101ZegNH7+TZm8TqdWuhWDq2vi65sdzzFks/Sd15VvoMQSaXYjGJ2oybZM/Of9CmFs8BoLGhzjgGk1aXTNJHJaXGxO6/8C9mdTTXnETCzIe4nz2Yuaf6D2AMgO+Ui9BqIIoZZMUsfnLCnhn15EAeUE98+xDrgfr6/FWRHlRxBr1uVbcmI7tRqGrLmOPJLxEIzY5p9SkCMlsKRZ9aKukck9TYriOvPgMjqinHmbh/Nt5E6nO4eNxQi2P8v+Wo9bDLysJwbCtpVJaRJLWRRMeQ1ZxEIoOI+hDRWCI6TPwz80oAR2RLXnURVcEujnPGiaMGGvcdNtw+8l4dKgcPC7onijb7D+mDPQf2ijVQH5+pL6glEEfk1zISTbBlkhV6GBnamu0UXGmLla+Rkbjuq0X2aLRVbYUh7sRhkzwxCUxlDMT5bK5UbvH9o4bjM7v0jTwmTLVFRMbJLwuJxDZivUJJcwE41zxk2/jxXwz4HoDu0k7eL1pNlgWSBCSeDyea/BkA17mf1wIAM2cTNVQjiPIoilMq9bSxg3GuYqgUSLP6ue2MYCIAMZEm8aCM8jSLM+nbMp1ENpKQvrXqMykxodgr7o+RkUgTlzi23iIOpIfB7TVuVlgBGzfcJNhHqp0uQ0gkdo4dTqOmhjpccuSupWPCAuHUXXL6oOkfr/ZV0JRhE6X9y5P3Dt1vetb/vfQQf7sKq7Ze/sE4AMDeO+ifiQp2re1h7r/zbzgOexuecdZI4v77HQD7A5jMzOOIaDcAP8+WrNpAVObOOK6rBH0yQSBdgjjdLKy6t2YZABcHtpeVhZ5dhnYFn0QikSKzRdZcm5WqibQSI4nuwge9RJL+mf7+dH1GXFEOOImNRPzsYghGdI7xH7ROk4xTBxtje1QCRNO4Ue9x1Dv57GXGNH+xIe7zfy89BINiZKZQ875V0xkwiQC3hZm3AAARdWLm2QBGZEtWbSAqc8eCVUH3WAFVGiAiXHS4Xn+cho/ojlXdW+P0/15EBLFpFatDkqymtgitFW5iJKqNJA4jkaSXqNtpmoTEwiS2aqtMEokpYFCs/G3OUWojxrv7u1uTeY2aVAI3SSSyejdpSpAAI4mgcfgAO6+5wdt0xVcPGBzaRpx6rx16lbzi/vjV/fD9o4aX2tx+5mj85IQ98Y3DPU9C1UZSRT6SiJEsIqLeAP4F4Dki+jeAj7Mlq23g/x57O7qRCyKgd9cmXHBoUL2VRozWrbBKUdga99YohNV46Nu9U6wkcGG2UaHv3rFPl0Sr6zAydJMJgUoTvMdInE/T/ZF18oUY99LUpqhMtrYwMcZyQTxjK4lEuRjxO0wiSbpwMiUBvfWM/Urfk7rtqp5iWam26usIP/tSuLpN9w4fs/f2uOTIXUu/P7fHAJz1mSE4bX+HKem0JdXSPADJAhK/xMxrmPlaAD8CcDeAE7ImrBaQZZoG8Yh1XlFpBoBWInE/wySSw2MY+AXi2ISA8Jf683tuhwE9O2HvHXplrtoy2RQEOaUUKSXmYOrH+15SbVl4bZmSFcZh7Fcd49WUNzHGcqFJSi8fBVXoFJcWFvgXZ2EzQlr525QbTiqRqDE1Wc3JsaS6EHhj10EpIFFWbcUlLkPEiSP5j/oP4HsALoRTHrfdIct0P+KB6yrdqROuKdmdtl/N8PHyQpmtu2pgmQ3E7bj2C3tYtQ/TMxeKRfTq0ohl65vx1KxPY9MSNhmZvJzEKlNMfuJ61L5UhuPQ66nBol78w0fomXQxho1EvoZKSyQNJdVWDIlEmejCPKzi0N67qzdOTTVZ5HsVRyL5f8fuXgrsVJNrZhWQaMM041SilLtTKyRWk5PEkUg+A2BHAK8CuAnAr91/8b3dIY1EEhQ9naesYyTqODpjbLhO1der1kbifAobj26cJnGlFPfjjAPs0uOHvUStBeclmP7x6th0AOGqLZNNofQyQtiQ9BJCvaQCG9irMy46Yqi1auuy8cMj1SJxTUd6L7TyQcRr2Myl/Xt0Qq8ujbj4iGG+7VlEoQP+8a1O9gIynXEqAl5w2C74/lGOeXdYP3/W7OwYSXSbsGJxVx+3O7ppFpY6iaSaiOO1tR2Az8GpYngGgCcAPMTM75SDsFpAltHpnkSiSc0e02NE169um2miBJIxEsFXmxrqcPnnhuPm5z4Ipy1kn5NiJjYJJYQb2/XUyIkXAY/Rql05fTv0vXbVZwEAT73teLbX15nVSm/+6HPo060J1/w7vExOXLWU520mSTVlnEHiGNv7dGvCzB8fVfotxne4RBJjfEv3qtkQpS2PhbgOHuP3GID5NxwXPG9Wqi2LZx3G/M4/dBecf6hXtVPOXB00trcBGwkzF5j5aWY+G04NkjkAXiaiS8pGXZUR1yYQBvGIddlLw2qIR0E3odr0l6i8p3Q/0taqiEphHoVE7r8l9UC4RFKKo5BVWxEeXuIcuv5U6KTSMIi5UT53eSUSe2O7iq0FZ7IPZSQx+rORSOQ2WRVyysrYbtNNHAcW0R8nDUoqE2KxbyLqREQnAXgQwMUAbgHwWPhRbRfZ2kicB65LSxEYtDHGhq7prv2748RRA/Hb00a55w62SZqWoXTeBDEGAHDs3tsBcGwkaRD2omuN7ZAlPedKSoWtlLdAVm0JjN99AI7dezv8v+P2MD4f25V23EJecsJI71yxuogFodpKcg5hxwhTbZn61WW9lZ/lpZIXk6mNzMCuOd7OlqdDmLopDrKykajQOQC2iTgSInoATmXD/QBcx8z7M/NPRB319ohyeG0dumvQEBvkI2GrXkUNphk9DfV1+O1p+2K37Xr6jpGbJtEBy7fDztMk2OiqY5ySteNG9M/cW01AL5FQaUIWwpBRIhGqHWlb58Z63PbV0dihdxfj0ymfROL0J2c1lsfILYbAwqRojGFsVyGkhiSqU13WW0HCXjv0RL8enbTHyfdbeMz17tqIcw/ZOTYNAp0aM2IkFt2kkUjanNcWgDMB7Aonsv01KevveiLKpg5mjSENGwkGJDqfXz1gMN780ed8+5Kmfbdtq7oOytviQFZtWeVh0jQZtE1XzLjmczjvkJ1TDfxQ1ZZJInG3Cw+sosH9V7SLm3HAtnCVDSPRubTK9JD05mad8bwpjWrLRiKJ0Z9Mg7hO2ZNL3g54Ho9pkxXa1i2JgpVEEsNBQA021r2H3/vccLx3/dHWfWaBODaSOjfzr5r9t4eb/bfdIVPVVqkWBaFPtyb8+byxpX3qCjqeDjm6tZo+Xd5mg8/u1h+AqtqKPs4k9fTu2gSyiMdI0jdgdpcV2wUDYYPhWsyBZslDv0dsjZrYTbp+E8SzajDYSLLOVNuokchsIWyASY3tj150kNLW/XT/AKC7EpEv99fVjag3GeZtkZUzg00/SdRoOhOJ+N65sT40ILQcqGCOSwdEdC8RLSOiWdK2vxPRDPd/PhHNMBx7NBG9T0RziOjKctOapWpLHSty1UJ14sla11liJD567E9yyphBAPz3w+bwqJconddWcNs5Bw/BgJ569Ydc2EqYZ0q5yJS2pcJOJluIkaYgw9bBSiKRvgum6beR6JlKFmiI4f6r4tBhjur21P0HGduEjb3RO/XxxVHppLyw29tFytgcF2cdaOfWHgc29zBOenzRUjd2syycFhcVZyQA7gfgk7uY+SvMPIqZR8EJbvynehAR1QO4FcAxAPYAcDoRJbem2SAFH9mhdxffb7Vaom8iCHhZZTsSdLr7Pl3tAxLFQPfZSGKmGNfvT2MjCR774y/siSn/N15/LvImYvESitKt6grXm7Dj0VdaPUccZgqsMyFKIiECXvnBEbH6DEMar63B23bF/BuOw36D+xjbRKmN5Pok8iJIxGaFjZs4wbwqfnLiXomPNeHNBWsi28RTbTmfWhtJFY0kSbL/pgIzTyCiIbp95MyopwI4UrN7LIA5zDzXbfs3OKlZ3i0PpekkkhOU+iPqyxP2zLPWeasn/cLIgRjWv3t4WwliYs3C2C4jKrtyaN8JbpJg2MKV96ZTRuLcg3dG/56dfe3kuA19PxHniWBA8RmJS5c04fhpsKsjHxtlGodJ7Q9hHq8TrxiHLS2FWIZrWxy793Z48u342RdsEUe15QXTur8pOCYqWZRLoBoSSRgOBbCUmT/U7NsBwELp9yJ3mxZEdCERTSOiacuXB2uP2yDpNDdqUO+AlKF6gYQ+64wHgqraGrvzNpGZjWWIgS5P/Or1HbfP9hi/+wDlvOH9frzSnD05CnH5CBFw05f3wTF7bYe9BjoZjLs2NWDMkG0CbT33X/uT7LZdj9IEGUWbnbHd+y6YpuxEkFZqve+c/SPPXa4JSZXOwyDHS+jex6uPc7wAd+zTFcP6O+lOvn7QEPzp3LGa1smwa//oTL8/+1JyaSaWakuoZ0MWuR1FtRWG0wE8lEVHzHwnM49h5jH9+sVPUAgkl0h0D1J9eSq5alBVLgRgxYZml67oISBEb1nvrE6Wt56xX0lV5J03/BrjTCgq4t4/IsKuA3rgj2eOjnRN9QISDX1p9vzipL1L1xsVF7D/zkHmFQa5XnyJBuUUcSS0Yf27Y9yI/sb9JV17DBrjII5rrd4W4EGO+ha49ot7JkpKmgZftUwbpENDHPdf97Oolc7K+9zCUDOMhIgaAJwE4O+GJosByBa8Hd1tZYPqQWIL3SSXVLX1huIqnATC3VUW+7e0OHpo2ehvQkNJteVxEq0KQWG8USutNFHIcflwnOZRbrxR5+4ZkRDz+H0G4vYzg5UtzfQ4n7IKJBh7ZA+1GqDAoG264K1rj6qARBKHkTifRNlmmkgDszdi/ESoANCYIsuEvKjxFoyVZyUVt5GEYDyA2cy8yLB/KoBdiWhnOAzkNDg5v8qGPQcmK1Ope4yBlyfkWcuDY5tuTYlokCFWdbJv/2ljB2Pj1gIG9u6My/4+M/R4sWKSJZKwOIG+3Tvh0iOHRVZ7K6SYGOKmsIjTXCeBRUFu2rtr9DPbtnt4G78x3bXZ+Izt/guKM+l3NqS5b6yvQ8/OjSXGVa66ZFGS6J/OHYuz730dgP++lqK5ifCbr4wsqSizxEMXHBhQPaq31lQm4F/fOhhH3PRy7HPGkUjEYw+zF3UI1RYRPQQnQn4EES0iovPcXadBUWsR0UAiehIAmLkVwCVwasS/B+DhWk0Yqa+H4d+mTgQXHeFUT9y5b7fMB4JOIuncWI+Lxw1DZwv1kk5ykMsGi4hj8aKfeeBgnH3QkEhbQZoVZqryxFF9K4GLKnRnli+lt0WK/jjUl9LfuwddcfRuQYnEskObdt5YrY5EIquljtpjQImS7Xs5ThGXjBuGL+27I3a1rFIYB58Zui0Oi1CLdTao5oZYSPcyvvYZRx0WJ8uEmrlad2Q1VFvV8No63bD965ptSwAcK/1+EsCTZSMuK1h5NPl/X3H0brjiaKeY0e9f0PkaWHcdQImRaGrGi0nj4GHb4n9zVmqPFwNdLrMrmNJhw/vhAaNh0zmuR6cGrG8O1uVOo6mIbWyPcecE4zTZyPpopUSvrY2KI85iwctaTKVMtWrONtv+wryaVPZRLl6tk7JN5xL1QogIXZsatJl6yw3hyv+tI4bitpc/Mkp0SRFHmvSM7f7fQHUYiEDN2EjaE9IG62UtkbQWg6otAV0Rp2AbwmPfOgh/PveA0jbRlz9tir8v+Tqe+s6hmOymZBdI414d39hu31YwTrVqnsDu2/fEXy84QLsPMKuO/PTYE1SnSCS6420ZpZU+XnHOyBoDe3cp1R4XMD3PhNWJM8WXR++IP507FieMcpxEw57vY98Kt6vK3mSlpKExLs4ztpttJNWwJNWSjaTdQH4pbj1jP8xYGCzeFDZ2sjaWFTWqLQGb/FBEwL5KgFmjRj2hDmCvUqMz+Ua1j4MoRvLNw4fi9lc+Kv2Oc0eFjcSk2gKAg4b2Ne6zSVgYRY+2fGxINLvtZKR7bgLepC0YV/mm7/132gZ3YG7pt3qqbx0xFCO265FpmiKBH39hj1hpaogIhw/vh5kLneBCk2oLAAYoMUkqdN5k8SQSp+2ydVvc39I+CKcY6+4yQy6RJECUjld+uMfts72TejykTZx9SSCM2g2a9OAmg+oFh+7stdHQI/T2ukEruxk7bfQju2hpzR7aL6h7jtIrX3nMbv4o5ziqJPcCWiOCbXaVgjq36+VlMrAJiouzWBDFmvwSibm/ME88O9rgnq9ycoB6P3549G44YdQOGNjbmZiP3N3srhwX5xy8M755+NDYx/V1bYFH77mdsU2SW5bkmD9N+hgAsEFSGXeoyPb2gE4NdaErGrvMuCGqrYwFeaFO15egJd+ngN+TRHdc9HlliUQHm5XTW9cehab6Ouz2o6d9223UR3FTugioqVRM+Mc3D8LI658F4E+JYxNgFktC0sS1BMsJyPvMfdmotioxH+kLUQexY5+umH71+Ey8F9Nih95dMO3q8dg2hJY4zLeU8iWORKL83twSTE5ZDTfpnJEkQFNDPYCg8VjAzjMm2b4kECt/nadTabJXBp/sqaWbe7ySn8kjbG1sJD076w3X3TrFM3jGcv+tE6qt8HamwDqbeuWRaVak/V7KFrvFR1i7MNWWeu5qBM3qsG13fSLOaqBvBC1x7lgiG4nStlAI2iirYSPJVVsJoKq2Rg3q7fttVT0w4b4kECoanUQiBrE6p5syzXrbgucx1WAx8Ys0A75rY7w1UJx7eqabBXbvHcLjFEyP2Up9FEGRvNeKkUinDIuxMVUZ1NFWTj6iLlyyKm1bbSSxb8Y5Qh03rZJ6mEqLwtgkpEbOSBJANaYG0lVYSSQhk0LI8UnGiBhruiyjfdzgOVWvHi2RuPTobCTiM+KlEhLJvV8fg28c5nnxPPntQ0OPAxC73kKc+3bEiP6Yf8Nx2K5XuOHUxAysjO0JJKTwIFYPphibvt2btFUI1T5KAYkVnNurEY1dDsS5Z2JMxoqJUiUSjZ0xl0jaCIKMw7/BZliESyTZvlQliUQzYPfaoRcePO8AXH387r7t8qralh5VzRV1lFxY6ntHjShttwnQijtZxy0mZYNUEkkc439ENmJnXzjjB2KsVEvuxrWh2mpLKLtEojT2SySxT50ZckZiiTMPHFz6TgBOHbOj77cMmxcwVE2R8YD4/en74ag9BmCg61mkMoZDdu0bSFshT9Q6evbbqQ+OGNEP131xT+N5PWO7fgYTE1s9EZoa6kqp7YmAL44c6KsimQY79O6C7SLcMpPA9JjsjO32D9kzttuNGdPYso3bocCX7GFrbG9rSCTFpXjhCxrPwmoY23NGYomfnrh36TsR4cYvj0RfN19SmCumCZVcPYwa1Bt3fm1MrAI6UYykc2M97j9nbGiaiigbiVcz3W/wJwC3nL4vDt016HM/MELd5Du/+3n7maNjpaGwhWnCzuT5E+GgodsCkGwkIW+rTIuJcdvmDmsv0kE1oDJ7WWWsZjwoSeSx+vfDJ5FUkR3nXlsJQMo39QGmfRHD9P82Kp0sIHse2YrrIpmdoD8q0rbESOr87cJO98hFB6F7k92wbWyoA7YWyjYxpunX5tj7ztkfm7cW8JvnPgBgr2oyOjdErFR7uB5yZBjXWSLomNE+uBcpr+dT33HsfW9de5Qx23WcS1fvU1jQbCWRSyQJEHjwiYzt5n2njtHXu/7B50fg0GHmiOooREm8D11wYOm7zLBsF/PnH7oLLhs/HGe5yeiiJqKSsTHqhkro0liPXpbpum3ccNMgzeRnwxQ6NdSjd9cmK2OsTyIxMpLwPkRq+1JAaQXn9lpJEZ8W6i0T8U49Ozeia2ABFP+aQyWSCA1AOZEzkgS48DB/VKz6ntus5EJ9/evrcPrYwejR2T/wLh43rKxZbz8zdNuSfr8pgbG9c2M9vjN+15K9pURqxMRWUjtZvACmFN46pKk9HgffP2p4YFvXpvpSdlcBkeEZiFZnyPsbbNx/pV1REqAJwkutMvyjfTAOFbECEkuqLftjbOJIqoGckSSAcKFUH+qhu/bVbtchqskvTtobb1/7+QTUhZwzxkiTg+2S8i7bFbvKR8IOi+P2K6SqcvKR+Tcch0s0sRnvXn80rj/BK7963N7bl7I7x6VJpEgJO8YvkTDm33AcRu/kz48W10ZSzolJ5Wm6XGxtEUkWLWnGZ6vW/TePbK85vPi9w40voHj+nrHY/zsM1dAJ24i8zuqI0VSfLE+Vvy872LhPv/C9w61zcwl4GYpjHVYhhN8df2S786nep/49OmHZ+mZjb6q6KE225XLjzq+NqTYJmSDOa53kcajSi+y1lau2ahi79Otecks1QTzAYgw3jGqKoTaD3ee1lZDaKPffQLuQN2Bov+6xCxmJa9galeukjNjVMHbCnsGYnfrg+L0Hln6XJBKlnZxRwafacm+jyndriY2otPSyKAbWFpBkfRjLa0tprI1sj09CauSMJAU8FYDzZRc3S+1ndtnW+lhb2NRWj8L+Q7YBAAwPm5BdumRGktgQarlCEjYST7WVDZstMZIyBCPa4jvj9SlJwqTWf1x0kM+hoKFOP0EI9+Ahfbv67plg3Gr7uM+xnThSVRSVdsEtFIM2kmpIJLlqKwXUnER7DuyFyVd9FgN6RieZizNZzrzmqEzcfk8evSMOHtY3NPWHoEoOqktaW93Whp4kM4ANhGpLrcFdC4hzjaZsxGcfNATH7L19qQbGQxcciNPvmlyaSFTGYfsYKzER1bCWLRXipUhJ4LWl9O/Lgl1Fxp8zkowRlZ8pCWzdXW1gS5+cmDKpr7q1sV3EkWQ8udSCRGKCfGvu+toYNLcWcMlf39S2FYxETRZKRL5CSiJAVjAclfHEtZFUM8CtraLcxnb1mdz45X0CbaphbK+4aouI7iWiZUQ0S9l+KRHNJqJ3iOhGw7HziehtIppBRNMqQ7GHw4b3wy4ZqJjaAuR8UUlrQXiZhcMHtsj8KooN9euRTdpw4X5bix5B8oSw/5A+OH6fgca2QrVlSqkvsL1bE+VCNwGmettt1wOVmIZGDe4d3agNotzGdhlnHDDYl9a+mhUSqyGR3A/gDwAeEBuIaByAEwCMZOZmIgorhzaOmVeUl0Q9HjjXn/spkBqlgrSUC+KaxMpq225NmkAqy74s74iQXM44YDDOOGBwRGt7fHb3AZh/w3GZ9Zcl5LFjq7aMcn3u3qnBd71Jg569ZJrJjrfBDr27YP4Nx2HIlU+U7yRVQByVdckmmDCORE2936GSNjLzBACrlM0XAbiBmZvdNssqTVcOPdIsbmwHdjnyYLUlRDFqsepcuWFrrH7TRot37KeSHi9873C7hrFUWx7U9yYPSASGAziUiKYQ0StEtL+hHQN4loimE9GFYR0S0YVENI2Ipi1fvjxzgoHqekmUC3d/bX+MG9EP2/fqjCNG9MOtZ+yXuK+oXFsC7ZmPRI2NHft0CW8A4Kg9B2D87v2NHmA25x43oh/u+7rptVKOqylH4baHo/fcDvecPQZD+4WHDSSKI/GVC6idF6dWjO0NALYBcCCA/QE8TES7cHBJdQgzL3ZVX/+/vfuPlaus8zj+/tjbH9DWlv6wXKhCi6W0rELhStoAnw4RKgAADEBJREFU2mIthewu+4cJNGq7ykrErLtq4krjJmBcE9cYfxt+1crGrCAKQsOuoiKRuCK0hF+VtlKqK63UFhQU0qCGr3+cZ3rPnc7ce+fOzDnTcz+vZHLPPHPOnOe5z9z7nec5z3meH0jamVo4R4iIG4AbAAYGBrryl1HmRHPHTJzQcL3mdp23aA7npTv0b3p3e9O4j7bPtpf+ILqmroitdB8dO6mPTRtGFwTy8hfXb1w/QN8o5x6r0hejMlz3rrNb2r+l+0hy282qczyv2b4XuD0FjgclvQLMAYY0JSJiX/p5QNJ3gHOAhoGkSGV8g9v676uHzLPTi0ZqadSCYTfnD+tVtX/y3RwZlQ8k4yJYHyUevXoNrxJcs+WJlo8dbt0Z39kOdwCrACSdCkwChlxQlzRV0vTaNrAG2E4PKOLiZL1pk/s6Oiy4G0ZqsV37zrO44s0L6e/ColO9bjTzinXqHK2ep3YPUaN5nKx9M46ZyPQpEzv+BfRwD0BH33V0Cm+RSLoZWAnMkbQXuBrYDGxOQ4L/BGyIiJB0ArApIi4G5gHfSf+c+oBvRMT3is6/jd5IDY2Vi1/DysXDDdCrrvwiXjUnzjyGU0aYjqe1kwxuttINW5u9uRfvv6mUw19AWxm11XzfMhudhQeSiFjX5KV3Ntj3N8DFaXsPcEYXs9ayRfOmse/5Q5wydxo/feo5Zk3tzP0PVVH70C9ucY6sKqndg9Psonr+H8P/XXVBR8+9cO409jz7UsvH1YYjd2OdeztSp///j5f7SCrjS+uW8cjTz7Ni4WzOXzSH1UvG57fr4dxyxfLh5/aquHNfP4cb1w/wllOHLhtcxN/65y49g3t2HGh5toXBQNL5wRw2qN3PQLN17z2N/FFm+pSJh9cVX3P68SXnpjctH8UEllX3tqXzjkgby3rdrZo+ZSL/sOzElo+bXODUMp+45HR27P9j18/Ty8baJXXE6Ky65SyK5EBiVoKZaaDEqtN6rxVbu0ZSRNfWu1ac3PVzjBeDLZLiOZCYlWDOtMncv/EC5k7rvetqk32NpBDt3u9RP7VObVXT+sk9i+BAYlaS/hkj39VeBl8jKdZYu7ZqLcea95y7gJde/guXn7egA7lqjQOJmQ1Rmy350jd1bgJNO1K7XVD1LY8pEyfwkQtPa/Ndx8aBpGSTRjlthVlR5k6f3LOzJlfJ4ICLsTVJyujCasaBpES3XbmiZ7s3zKwYY+3amtQ3/LICRXIgKdHZJ80qOwtmfHTtaex/4VDZ2Rh3Ot21VSYHErNx7sqVp5SdBRuDXrrRt3dCmpmZjdob5s8oOwuHOZCYmZWgjHVDusWBxMysRGUukNcpDiRmZiWoTnvEgcTMrBwFTNxZFI/aMjMrUas9W6uXvIaL/qa/O5kZIwcSM7MSjHXdkE0b3tThnLTPXVtmZiWoTbrYN9Ka1EcBt0jMzEpw9d8t5fgZU1i95MiFz442hbdIJG2WdEDS9rr0D0jaKennkj7d5Ni1knZJ2i3pqmJybGbWeTOPncRH155GXwUmbi2jBDcBa/MJklYBlwBnRMTpwGfqD5I0AfgKcBGwFFgnaWnXc2tmZsMqPJBExH3A7+qSrwQ+FREvp30ONDj0HGB3ROyJiD8Bt5AFHzMzK1GvtKlOBc6X9ICkH0tqNCzhRODp3PO9Ka0hSVdI2iZp28GDBzucXTMzq+mVQNIHzAKWAx8BblWb8wZExA0RMRARA3Pnzu1EHs3MrIFeCSR7gdsj8yDwCjCnbp99wGtzz+enNDMzK1GvBJI7gFUAkk4FJgHP1u2zFVgkaYGkScBlwJZCc2lmZkcoY/jvzcD9wGJJeyVdDmwGFqYhwbcAGyIiJJ0g6X8BIuIvwD8DdwM7gFsj4udF59/MzIZSlebEb2ZgYCC2bdtWdjbMzI4akh6KiIFR7TseAomkg8D/j/HwORzZzVZ1LnP1jbfygsvcqpMiYlQjlcZFIGmHpG2jjcpV4TJX33grL7jM3dQrF9vNzOwo5UBiZmZtcSAZ2Q1lZ6AELnP1jbfygsvcNb5GYmZmbXGLxMzM2uJAYmZmbXEgaeJoX0RL0msl3SvpibRY2L+m9FmSfiDpyfTzuJQuSV9M5X1M0lm599qQ9n9S0oZc+tmSHk/HfLHdiTY7QdIESQ9Luis9X5Bmld4t6Ztpeh0kTU7Pd6fXT869x8aUvkvShbn0nvtMSJop6dtpUbgdklaMgzr+UPpMb5d0s6QpVatnNVgAsIh6bXaOEUWEH3UPYALwFLCQbN6vR4GlZeerxTL0A2el7enAL8gWBPs0cFVKvwr4z7R9MfBdQGSzMD+Q0mcBe9LP49L2cem1B9O+Ssde1APl/jDwDeCu9PxW4LK0fR1wZdp+P3Bd2r4M+GbaXprqezKwIH0OJvTqZwL4L+Cf0vYkYGaV65hs6YhfAsfk6vcfq1bPwJuBs4DtubSu12uzc4yY37L/EHrxAawA7s493whsLDtfbZbpTuBtwC6gP6X1A7vS9vXAutz+u9Lr64Drc+nXp7R+YGcufch+JZVxPnAPcAFwV/ojeRboq69XsjnbVqTtvrSf6uu6tl8vfiaAGemfqurSq1zHtXWJZqV6uwu4sIr1DJzM0EDS9Xptdo6RHu7aaqylRbR6XWrOLwMeAOZFxDPppf3AvLTdrMzDpe9tkF6mzwP/RrYMAcBs4PnIJvyEoXk8XK70+gtp/1Z/D2VaABwEvpa68zZJmkqF6zgi9pEtxf1r4BmyenuIatdzTRH12uwcw3IgqThJ04DbgA9GxB/yr0X2taMS478l/S1wICIeKjsvBeoj6/64NiKWAS+RdUccVqU6Bkh99peQBdETgKnA2lIzVYIi6rWVcziQNFaJRbQkTSQLIv8dEben5N9K6k+v9wMHUnqzMg+XPr9BelnOBf5e0q/IliK4APgCMFNSX9onn8fD5UqvzwCeo/XfQ5n2Ansj4oH0/NtkgaWqdQywGvhlRByMiD8Dt5PVfZXruaaIem12jmE5kDR21C+ilUZhfBXYERGfzb20BaiN3thAdu2klr4+jQBZDryQmrh3A2skHZe+Da4h60N+BviDpOXpXOtz71W4iNgYEfMj4mSy+vpRRLwDuBd4e9qtvry138Pb0/6R0i9Lo30WAIvILkz23GciIvYDT0tanJLeCjxBRes4+TWwXNKxKU+1Mle2nnOKqNdm5xheWRfNev1BNhLiF2QjOD5Wdn7GkP/zyJqljwGPpMfFZP3D9wBPAj8EZqX9BXwllfdxYCD3Xu8BdqfHu3PpA8D2dMyXqbvoW2LZVzI4amsh2T+I3cC3gMkpfUp6vju9vjB3/MdSmXaRG6XUi58J4ExgW6rnO8hG51S6joGPAztTvr5ONvKqUvUM3Ex2DejPZC3Py4uo12bnGOnhKVLMzKwt7toyM7O2OJCYmVlbHEjMzKwtDiRmZtYWBxIzM2uLA4nZMCTNlvRIeuyXtC/3/KddOucySV8d47E/HPWMrWYd4uG/ZqMk6RrgxYj4TJfP8y3gPyLi0TEcuwGYHxGf7HzOzBpzi8RsjCS9mH6ulPRjSXdK2iPpU5LeIenBtObDKWm/uZJuk7Q1Pc5t8J7TgTfWgoikayR9XdL9aY2I96b0fkn3pZbRdknnp7fYQjabq1lh+kbexcxG4QxgCfA7snUfNkXEOcoWFPsA8EGyub8+FxE/kfQ6siksltS9T+2O47w3kq0dMRV4WNL/kAWLuyPik5ImAMcCRMTv07QfsyPiua6U1KyOA4lZZ2yNNP22pKeA76f0x4FVaXs1sFSDiwy+WtK0iHgx9z79ZFPD590ZEYeAQ5LuBc4hmxNqc5qY846IeCS3/wGymXEdSKwQ7toy64yXc9uv5J6/wuAXtlcByyPizPQ4sS6IABwimx8qr/5CZkTEfWSr6O0DbpK0Pvf6lPQ+ZoVwIDErzvfJurkAkHRmg312AK+vS7tE2brks8kmpNwq6STgtxFxI7CJbPr42qzPxwO/6njuzZpwIDErzr8AA5Iek/QE8L76HSJiJzAjXXSveYxsmvSfAZ+IiN+QBZRHJT0MXEp2/QXgbOBnMbhaoFnXefivWY+R9CHgjxGxqdUhx5K+AGyJiHu6mUezPLdIzHrPtQy95tKK7Q4iVjS3SMzMrC1ukZiZWVscSMzMrC0OJGZm1hYHEjMza4sDiZmZteWv05qUNBEGJ28AAAAASUVORK5CYII=n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fe5c3736cf8>”

]

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

}

], “source”: [

“# Extracting "Major Groove" of 20 to 30 base-stepsn”, “maj_groove, bp_idx = pdna.get_parameters(‘major groove’,[20,30], bp_range=True)n”, “n”, “# Major Groove vs Time for 22nd base-stepn”, “plt.title(‘22nd bp’)n”, “plt.plot(pdna.time, maj_groove[2]) # index is 2 for 22nd base-step: (20 + 2)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Major Groove ($\AA$)’)n”, “plt.show()n”, “n”, “# Average Major Groove vs Time for segment 20-30 base-stepn”, “avg_maj_groove = np.mean(maj_groove, axis=0) # Calculation of mean using mean function of numpyn”, “plt.title(‘20-30 bp segment’)n”, “plt.plot(pdna.time, avg_maj_groove)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Major Groove ($\AA$)’)n”, “plt.show()n”, “n”, “# Average Major Groove 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_maj_groove = np.mean(maj_groove[4:8], axis=0) n”, “plt.title(‘24-28 bp segment’)n”, “plt.plot(pdna.time, avg_maj_groove)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Major Groove ($\AA$)’)n”, “plt.show()”

]

}, {

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

“### Local major and minor grooves 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”, “n”, “—”

]

}, {

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

{
“data”: {

“image/png”: 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”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fe5c34839b0>”

]

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

}, {

“data”: {

“image/png”: 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”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fe5c3736a20>”

]

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

}

], “source”: [

“# Refined Major Groove vs Time for 22nd bpn”, “plt.title(‘Refined Major Groove for 22nd bp’)n”, “time, value = pdna.time_vs_parameter(‘major groove refined’, [22])n”, “plt.plot(time, value)n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Major Groove ($\AA$)’)n”, “plt.show()n”, “n”, “# Refined Minor Groove vs Time for 25-40 bp segmentn”, “plt.title(‘Refined Minor Groove for 25-40 bp segment’)n”, “# Bound DNAn”, “# Here, Refined Minor Groove for a given segment is conisederd as average over the base-stepsn”, “time, value = pdna.time_vs_parameter(‘minor groove refined’, [25, 40], merge=True, merge_method=’mean’)n”, “plt.plot(time, value, label=’bound DNA’, c=’k’) # balck color => bound DNAn”, “# Free DNAn”, “time, value = fdna.time_vs_parameter(‘minor groove refined’, [25, 40], merge=True, merge_method=’mean’)n”, “plt.plot(time, value, label=’free DNA’, c=’r’) # red color => free DNAn”, “n”, “plt.xlabel(‘Time (ps)’)n”, “plt.ylabel(‘Refined Minor Groove ( $\AA$)’)n”, “plt.legend()n”, “plt.show()”

]

}, {

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

“### Distribution of major and minor grooves during MD simulationsn”, “n”, “* As shown in above plot of Time vs Refined Minor Groove, 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 0x7fe5c3473080>”

]

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

}, {

“data”: {

“image/png”: 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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fe5c38b6f98>”

]

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

}

], “source”: [

“#### Refined Major groove distribution for 25-40 bp segmentn”, “plt.title(‘Refined Major groove distribution for 25-40 bp segment’)n”, “n”, “### Bound DNA ###n”, “n”, “## calculation of parameter distribution for the segmentn”, “values, density = pdna.parameter_distribution(‘major groove refined’, [25, 40], bins=30, n”, ” merge=True, merge_method=’mean’)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(‘major groove refined’, [25, 45], bins=30, n”, ” merge=True, merge_method=’mean’)n”, “n”, “## plot distributionn”, “plt.plot(values, density, label=’free DNA’, c=’r’) # red color => free DNAn”, “n”, “plt.xlabel(‘Major Groove ( $\AA$)’)n”, “plt.ylabel(‘Density’)n”, “plt.legend()n”, “plt.show()n”, “n”, “n”, “#### Refined Minor Groove distribution for 25-40 bp segmentn”, “plt.title(‘Refined Minor Groove distribution for 25-40 bp segment’)n”, “n”, “### Bound DNA ###n”, “n”, “## calculation of parameter distribution for the segmentn”, “values, density = pdna.parameter_distribution(‘minor groove refined’, [25, 40], bins=30, n”, ” merge=True, merge_method=’mean’)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(‘minor groove refined’, [25, 40], bins=30, n”, ” merge=True, merge_method=’mean’)n”, “n”, “## plot distributionn”, “plt.plot(values, density, label=’free DNA’, c=’r’) # red color => free DNAn”, “n”, “plt.xlabel(‘Minor Groove ($\AA$)’)n”, “plt.ylabel(‘Density’)n”, “plt.legend()n”, “plt.show()”

]

}, {

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

“### Major and Minor grooves as a function of base-stepsn”, “n”, “* What is the average values of a given parameter for either each 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”, “n”, “—n”

]

}, {

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

{
“data”: {

“image/png”: 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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fe5c3874240>”

]

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

}, {

“data”: {

“image/png”: 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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fe5c383cc18>”

]

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

}

], “source”: [

“######## Average Major Groove (Refined) as a function of base-steps ########n”, “n”, “plt.title(‘Average Major Groove (refined) for each base-pairs’)n”, “n”, “### Calculating Average Major Groove for 5 to 56 base-steps DNA bound with proteinn”, “bp, values, error = pdna.get_mean_error([5, 56], ‘major groove refined’, err_type=’block’, bp_range=True)n”, “n”, “# plot these valuesn”, “plt.errorbar(bp, values, yerr=error, ecolor=’k’, elinewidth=1, color=’k’, lw=0, marker=’o’, n”, ” mfc=’k’, mew=1, ms=4, label=’bound DNA’ )n”, “n”, “### Calculating Average Major Groove for 5 to 56 base-steps DNA (without protein)n”, “bp, values, error = fdna.get_mean_error([5, 56], ‘major groove refined’, err_type=’block’, bp_range=True)n”, “n”, “# plot these valuesn”, “plt.errorbar(bp, values, yerr=error, ecolor=’r’, elinewidth=1, color=’r’, lw=0, marker=’x’, n”, ” mfc=’r’, mew=1, ms=4, label=’free DNA’ )n”, “n”, “plt.ylabel(‘Average Major Groove ($\AA$)’)n”, “plt.xlabel(‘base-step number’)n”, “plt.xlim(0,61)n”, “plt.ylim(12, 30)n”, “plt.legend()n”, “plt.show()n”, “n”, “######## Average Major Groove (refined) as a function of DNA segments ########n”, “n”, “plt.title(‘Average Major Groove (refined) for DNA segments’)n”, “n”, “### Calculating Average Major Groove 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, values, error = pdna.get_mean_error([5,56], ‘major groove refined’, err_type=’block’, n”, ” bp_range=True, merge_bp=4, merge_method=’mean’)n”, “n”, “# plot these valuesn”, “plt.errorbar(bp, values, yerr=error, ecolor=’k’, elinewidth=1, color=’k’, lw=1, marker=’o’, n”, ” mfc=’k’, mew=1, ms=4, label=’bound DNA’ )n”, “n”, “### Calculating Average Major Groove for 5 to 56 base-steps DNA (without protein)n”, “### DNA segments are assumed to made up of 5 base-steps (merge_bp=4)n”, “bp, values, error = fdna.get_mean_error([5,56], ‘major groove refined’, err_type=’block’, n”, ” bp_range=True, merge_bp=4, merge_method=’mean’)n”, “n”, “# plot these valuesn”, “plt.errorbar(bp, values, yerr=error, ecolor=’r’, elinewidth=1, color=’r’, lw=1, marker=’x’, n”, ” mfc=’r’, mew=1, ms=4, label=’free DNA’ )n”, “n”, “plt.ylabel(‘Major Groove ( $\AA$)’)n”, “plt.xlabel(‘base-step number’)n”, “plt.xlim(0,61)n”, “plt.ylim(12, 30)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.dev_bps_vs_parameter(…)](http://do-x3dna.readthedocs.io/en/latest/dnaMD_api.html#dnaMD.dnaMD.dev_bps_vs_parameter) as shown in the following example.n”, “n”, “—”

]

}, {

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

{
“data”: {

“image/png”: 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”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fe5c3473550>”

]

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

}, {

“data”: {

“image/png”: 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n”, “text/plain”: [

“<matplotlib.figure.Figure at 0x7fe5c381bb70>”

]

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

}

], “source”: [

“#### Deviation in Major (refined) and Minor (refined) groovesn”, “#### Deviation = Bound DNA(parameter) - Free DNA(parameter) n”, “n”, “### Deviation in Refined Major Grooven”, “fdna_bp, pdna_bp, deviation, error = dnaMD.localDeformationVsBPS(fdna, [5,56], pdna, [5,56], ‘major groove refined’, n”, ” err_type=’block’, bp_range=True, merge_bp=4, n”, ” merge_method=’mean’)n”, “n”, “# plot these valuesn”, “plt.errorbar(pdna_bp, deviation, yerr=error, ecolor=’k’, elinewidth=1, color=’k’, n”, ” 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 Major Groove ($\AA$)’)n”, “plt.xlabel(‘base-step number’)n”, “plt.xlim(0,61)n”, “plt.show()n”, “n”, “### Deviation in Refined Minor Grooven”, “fdna_bp, pdna_bp, deviation, error = dnaMD.localDeformationVsBPS(fdna, [5,56], pdna, [5,56], ‘minor groove refined’, n”, ” err_type=’block’, bp_range=True, merge_bp=4, n”, ” merge_method=’mean’)n”, “n”, “# plot these valuesn”, “plt.errorbar(pdna_bp, deviation, yerr=error, ecolor=’k’, elinewidth=1, color=’k’, n”, ” 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 Minor Groove ($\AA$)’)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

}