{ "cells": [ { "cell_type": "markdown", "id": "7e0550bd", "metadata": {}, "source": [ "# Tutorial for Reading Structures from Protein Data Bank (PDB) Files and Generating Inputs for NERDSS" ] }, { "cell_type": "markdown", "id": "5b99e5c4", "metadata": {}, "source": [ "## 1. Introduction" ] }, { "cell_type": "markdown", "id": "fc396be4", "metadata": {}, "source": [ "Functions from ionerdss enables users to read structures from Protein Data Bank (PDB) file and extract the coordinate information stored inside, and generate NERDSS-readable input files (.mol and .inp files). The functions introduced in this tutorial is a series of step-by-step seperate functions that can be used in Jupyter Notebook. This tutorial treates the chains in the PDB file as individual molecules, and the user can choose to generate input files for all chains or only specific chains." ] }, { "cell_type": "markdown", "id": "9812bcf2", "metadata": {}, "source": [ "## 2. Functions" ] }, { "cell_type": "code", "execution_count": 1, "id": "a3327753", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Imports successful!\n" ] } ], "source": [ "import sys\n", "import os\n", "\n", "# Go two levels up from docs/source/ to reach the project root\n", "sys.path.insert(0, os.path.abspath('../../'))\n", "\n", "import ionerdss as ion\n", "\n", "print('Imports successful!')" ] }, { "cell_type": "code", "execution_count": 4, "id": "f0144268", "metadata": {}, "outputs": [], "source": [ "%matplotlib widget" ] }, { "cell_type": "markdown", "id": "47134226", "metadata": {}, "source": [ "### 2.1 Creating the Main Object" ] }, { "cell_type": "markdown", "id": "517c2e6d", "metadata": {}, "source": [ "This function will extract the coordinate information stored inside a database PDB file and create a ProteinComplex object. It will calculate the COM of each unique chain, as well as recognize the binding information between each pair of chains (all atoms of different unique chains that are closer than 3.0 angstroms are considered as bound), including whether two chains are bound and the coordinates of each binding interface. All the information will be printed on the screen and the object created can be used to implement other functions." ] }, { "cell_type": "code", "execution_count": 2, "id": "63af797e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Finish reading pdb file\n", "4 chain(s) in total: ['A', 'B', 'P', 'Q']\n", "Each of them has [2754, 2763, 66, 66] atoms.\n", "Center of mass of A is: [0.975, 5.018, 3.545]\n", "Center of mass of B is: [4.214, 6.886, 2.019]\n", "Center of mass of P is: [2.635, 5.307, 3.115]\n", "Center of mass of Q is: [2.555, 6.419, 2.222]\n", "Interaction site of A & B is: [1.752, 6.239, 2.643] and [2.223, 6.546, 2.559] distance between interaction sites is: 0.568 nm\n", "Interaction site of A & P is: [2.096, 5.612, 3.193] and [2.417, 5.159, 3.148] distance between interaction sites is: 0.557 nm\n", "Interaction site of A & Q is: [1.831, 5.940, 1.576] and [2.400, 6.433, 1.890] distance between interaction sites is: 0.815 nm\n", "Interaction site of B & P is: [3.350, 5.290, 2.839] and [2.856, 5.318, 3.063] distance between interaction sites is: 0.544 nm\n", "Interaction site of B & Q is: [3.064, 6.419, 1.962] and [2.619, 6.526, 2.028] distance between interaction sites is: 0.463 nm\n" ] } ], "source": [ "# reading in a structure from a Protein Data Bank (PDB) file and create a ProteinComplex object\n", "clathrin = ion.ProteinComplex(FileName = \"../../data/1utc.pdb\")" ] }, { "cell_type": "markdown", "id": "b275b3fb", "metadata": {}, "source": [ "### 2.2 Generating 3D Plot " ] }, { "cell_type": "markdown", "id": "98a60492", "metadata": {}, "source": [ "This function will generate a 3D plot indicaiting the spacial geometry of each simplified chain. The solid lines of different colors are connecting the COM with interfaces within each chain; the black dotted line are connecting each pair of interfaces and the COMs are shown as solid points with their names above. To interact with the plot, other IDEs rather than Jupyter Notebook (such as VSCode) are recommended." ] }, { "cell_type": "code", "execution_count": 5, "id": "e2d2cf84", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "f41f832d9a4b4f6cb093e932c4c9f921", "version_major": 2, "version_minor": 0 }, "image/png": 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", "text/html": [ "\n", "
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\n", " Figure\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "clathrin.plot_3D()" ] }, { "cell_type": "markdown", "id": "60106517", "metadata": {}, "source": [ "### 2.3 Filtration of Chains" ] }, { "cell_type": "markdown", "id": "8fd5e5e3", "metadata": {}, "source": [ "This function will filter the desired chain according to the input list of chain and exclude all the unnecessary coordinate information for future analysis. Here, only chain A, B, and P are being remained so that the number of remaining interaction site will be three." ] }, { "cell_type": "code", "execution_count": 8, "id": "e5fa3243", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Finish reading pdb file\n", "4 chain(s) in total: ['A', 'B', 'P', 'Q']\n", "Each of them has [2754, 2763, 66, 66] atoms.\n", "Center of mass of A is: [0.975, 5.018, 3.545]\n", "Center of mass of B is: [4.214, 6.886, 2.019]\n", "Center of mass of P is: [2.635, 5.307, 3.115]\n", "Center of mass of Q is: [2.555, 6.419, 2.222]\n", "Interaction site of A & B is: [1.752, 6.239, 2.643] and [2.223, 6.546, 2.559] distance between interaction sites is: 0.568 nm\n", "Interaction site of A & P is: [2.096, 5.612, 3.193] and [2.417, 5.159, 3.148] distance between interaction sites is: 0.557 nm\n", "Interaction site of A & Q is: [1.831, 5.940, 1.576] and [2.400, 6.433, 1.890] distance between interaction sites is: 0.815 nm\n", "Interaction site of B & P is: [3.350, 5.290, 2.839] and [2.856, 5.318, 3.063] distance between interaction sites is: 0.544 nm\n", "Interaction site of B & Q is: [3.064, 6.419, 1.962] and [2.619, 6.526, 2.028] distance between interaction sites is: 0.463 nm\n", "\n", "\n", "After filter with ['A', 'B', 'P'] :\n", "3 chain(s) in total: ['A', 'B', 'P']\n", "Center of mass of A is: [0.975, 5.018, 3.545]\n", "Center of mass of B is: [4.214, 6.886, 2.019]\n", "Center of mass of P is: [2.635, 5.307, 3.115]\n", "Interaction site of A & B is: [1.752, 6.239, 2.643] and [2.223, 6.546, 2.559] distance between interaction sites is: 0.568 nm\n", "Interaction site of A & P is: [2.096, 5.612, 3.193] and [2.417, 5.159, 3.148] distance between interaction sites is: 0.557 nm\n", "Interaction site of A & Q is: [1.831, 5.940, 1.576] and [2.400, 6.433, 1.890] distance between interaction sites is: 0.815 nm\n" ] } ], "source": [ "clathrin_filtered = ion.ProteinComplex(FileName = \"../../data/1utc.pdb\")\n", "print(\"\\n\")\n", "clathrin_filtered.filter(ChainList = [\"A\", \"B\", \"P\"])" ] }, { "cell_type": "markdown", "id": "c15ac2d6", "metadata": {}, "source": [ "### 2.4 Obtaining COM and reactive interfaces coordinates in .pdb format" ] }, { "cell_type": "markdown", "id": "6a5fd851", "metadata": {}, "source": [ "This function will generate an output file in .pdb format that only contains the calculated COMs and reaction interfaces for visualization and comparison with the original PDB file. The input will be the returns of the previous function." ] }, { "cell_type": "markdown", "id": "63ead731", "metadata": {}, "source": [ "Note: The unit for the coordinates in files in .pdb format is in Angstrom but not nm, so the value will be 10 times larger than that in NERDSS input files." ] }, { "cell_type": "code", "execution_count": 9, "id": "f830e71f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PDB writing complete! (named as show_structure.pdb)\n" ] } ], "source": [ "clathrin.write_PDB()" ] }, { "cell_type": "markdown", "id": "7c45af3a", "metadata": {}, "source": [ "### 2.5 Changing Sigma " ] }, { "cell_type": "markdown", "id": "957ae5d8", "metadata": {}, "source": [ "This function allows users to change the value of sigma (the distance between two binding interfaces). The new sigma value and the corresponding coordinates of interfaces will be shown on the screen." ] }, { "cell_type": "markdown", "id": "228bd93f", "metadata": {}, "source": [ "Input the serial number of the pair of interfaces that you want to change the sigma value and the corresponding new sigma values." ] }, { "cell_type": "markdown", "id": "49568900", "metadata": {}, "source": [ "The serial number is determined by the sequence shown in the initialization function, for instance, 1 indicates the interface pair A & B, and 3 indicates the interface pair A & Q" ] }, { "cell_type": "markdown", "id": "9623f894", "metadata": {}, "source": [ "Note: If .filter() is run before this function, the serial number will be determined by the updated sequence printed by the filter function." ] }, { "attachments": { "image.png": { "image/png": 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V5d0pfW7ld9mFEEIIIXqD97znTDfjw1e6f33ZD7vLJvyAm/yBH2xcOZX/vPpP3ef/6u8a70S3kbtVm0B57ty5zaPdoLm3wDEfOnSo2717d+OM6BQEK4B+LFu2zL9eunSp/0/wsnjx4lN0iACPYCsMbGI9i4MpgsSrr77avfjii40z7UOaBFkrV670ee7atcvNmzfPnweC0rBM69evd8eOHXOvvvqqv46OrVu3zr+2z1hAH9d7y5Ytp6TdLgSut956q9u6dWszjziYHzdunG8PrlGWugJJ2pugmWCZtOfPn39K0NzJvIUQQggh+hM/+P0Xu1+/Yb7788/c7nZ9Yb1bs/xGt+DaH88NmuFTP31N45XoRlp6xpkg4IEHHnAPPvigP3CYQyywsOt8Ngwczj///Ob98bUyWNGydDkseDOGDx/uhgwZ0niXhtVn0aJF7rzzznMrVqzwaW/atMkHKiHUNSvvuM6hTCjzXXfd5fPgILCIP1NGkczK2oNy2jUOylMHBGxhwLhv3z4/aYEsspg8ebLbu3dvj9X8IhYuXOgOHz7svvWtbzXOtA/5E9RZOfbs2eP/55V70qRJ7uDBg80gcfr06e7IkSPNuhdBsM1kQV1MmzbNB+NZq7Xo6qBBgzqy6opspk6dmrt63sm8IdZhsz3yxU7ZPcAq/+rVq/310EZi+8BOqQ/Hvffe626//XZ/Hrsx+w5tu6zPEUIIIYQwfmrGR9yf3vmf3F/+ye+5n//pa90VPzLBnfXe9zauFvPd777deCW6kZYC59mzZ3sHk1UlVu1GjRrVdCZxRtmKSWDBdQ6CnzBY+tCHPuQ2b97sA8ijR4+6mTNnNq4UQx4TJ05srhSygsm9OM/mQBP0soUVRxonNw4ys6BslJGVxddff72ZfryixrbcQ4cO+WuslLJqacEWK61WZ+pFABkGqD/wAz/gvvjFL/r6/tAP/ZCvP0F+WdmMIpkVtQfps2JL3bjO0Re7B2gf6kvQlwp1oC60YV+B/CZMmOC2b9/eOHNyAuD48eOnBGN5wRRBN4F/lcmCPCgLMmRV1/IN9Zu8APuz63VNkpAHOv3hD3+4mbYFoNDpvMeOHdvUX+x+xowZ/jz2iZ1yjq3httptfQ7lW7JkiZ+w4TzXwXZGEOyPHj3a29aYMWO8fWPbtDGgt7S/9QkcdW4xF0IIIUT/Z+z7R7lbf/E697f3r3arblrsfmzqZY0r+fzTtw66xx7f4Vbf/3l36J9fd68cfs39wYYHG1dFN5IbOPOcojnAHGFggBNpgQD/WY3D+QRW41jxLQp2CJ5weG2VkmeHy8ABJlANVyxxYPfv3++ddnOgKRvbanGkQwe6DniO1YJOVilxui34JaiwOlMvnuEkwLHAgnJyDvhPGatQJLOi9gCeR7XAplMQYEyZMsXXLWvFkZXSZ599tkdbhHoWrpRbe7Mlua72y4J8KHu4ohzCBAWBr13j87aqbpMV4QQOoA8WVCOTMOhuB/JkUuicc85pBnGUm8CQa+jEhRde6MvKNSZLyD8vqK/CiBEj/G6MN954w6cdB6CdzJv2R8cNttazik+dy7D+yCZs0E3KiN0ygQVmjxxZEzvInLoIIYQQQoTM+uiPuc/+zn9yf33fZ9z1n5jpLh516nf7hLz0yqvub/77TrfqTza6a37hN9zHbvg192t3/6Fb9+cPux/7j7/kPvIzv+y/IEx0L8nPOIerLDjDFuxwhF+kRMDGiijBRic4cOBA41X3gAM/bNiw5hZvDvviqd6gqD0IOlhNw/HnWrhCWRekx3O8BDR5W4hZObYt0QaTEKZftkpvwfOCBQv8Cn6nV/cs8OML4WKoFzscsp6XDwP6bdu2uddee80Hl8B5Jmyo19133+1lU0cACQR34aQUQblN4ABtYEE+/5mwCSdR2oEV3Y0bN/rXNjlkkwjQybzRC9Nv21WSSjv9EfUgmLYdLOEquxBCCCFOP977nve4X14wxz36J7/nfu/mJe4jH8xfXX523zfdH218yM39ld900xbe6H7lt1e7//Ohx9zz/1Tfd/eI3qPyVm2CIFbXbEWXg5VYo9OBbeiI48DiuHcDBDThdk6O3vhypLL2AJx/VuO5xoo9z+bWFTyTDumx8pm3BZzV5rwVXcNW0oF2ZbWeCQALlliZ5n3Wc+etQjBGQL927drMdkKuBF0ExgafI6BPDQgJouMdAK1iZcwL3NhmnLJ7oxV4VjsM0GM6mTdbvmknsy/bVZIKK85huZngYBdGKkzemG3R9mxHV/AshBBCnF788A+Oc7+97FNux1+sc7+ycK679Psvblw5lbffftt96Sv/w/3yHZ9xsxbf4v7ggQfd3udO9c1F/6SlZ5zZJmnfMMxKWrjCyaoTjiorhnVigRUrgBb0xdsw24U8cKirbsskOOKZV1YZ+4Ki9oipc2IjDJrzvijLVpvLtivzOeTO6i7tEH4zNQc7IJgQCJ87J3hhBbCVYNqCZv7bynGIrTZnbT2njFl6iO7HWP3j1XZbQa2yEk05WTllIsLgtT1DTR7kZbLIyrtVmZmOM5kApMNWemwS+aTk3Q7hqjF2Fq84o/+0gbWJYW0Sl5sJpG98o/pvJTJBEENdkadWo4UQQoiBx8yrP+S3Y//ff3Sn+w//7t+6c4Zk73pjFXntf3vY/djP/LK78XfWuL/d8WTjihgoJD/jbF/0Q9BCoMQ3UHMeJzT8qSAcbIICAgu7t67twaxo4vDalmicYbYhZwU+rUA6bMG1bZmpwQWBA98mzOq31Zmjri9HKqKsPeJt3HXKjLQIYMKVYQ4LBgkikF/WarMFcHaP/cxRla3ZyJ3AjckO2yadAmXii6Aoe7i9Hr01CM7i1WaDMoZ6yBdVWQCOntvzzVYv5B3X37Z/V12JZkt5qGdgkxbkgf6aLmTl3arMuI+VebNrvr2adGyXQUrercLEGEGxfWM2AXy84kw+tInlb31O3B+RBqvGebsjYrBh7rODdPJ2KAghhBBi4MA3Yn9h7d3u92/9lcLt2H/31a/5QJnnltf82efd4dfeaFwRA40zxo4d+07jtRA9IMBlayorr51+3rgVCNIJ4PN+JqlbIXgnuCQo7G259qXMul2fhBBCCHH6wm8vL5j1MfeT/+ZH3bBzz2mc7clrb3zbbfn7r7qNj3xJzyufRrS0VVuIvsZWdvtb0Gwr7ayM9nbQ3F9lJoQQQgjRST561VT3X3/r1/1vL//MNTNyg+ZnXvgn95n1m92Hfnqxu+MP1ytoPs3QirMoxFYIL7jg5Nfr85xx3vPMQuRB0I7e2LPJfJmdVpyFEEII0Zf83JyfdLOm/+/uRy4d1ziTzZf/8evuoS897rb8vX4u6nRGgbMQQgghhBDitGHZ9f/Bzf2Jae6C4cMaZ3py5Nh33F99+avuv33xb9z/+/zJX34RpzcKnIUQQgghhBADnvkf/6i7/hMz3fgx+V/Oyvbrv/r7r7o/2fwFd/zEvzTOCqHAWQghhBBCCDGAufrKKe7n513rPjjphxpnevIPX9vjvrD1y+4Lf/uVxhkhTkWBsxBCCCGEEGLAwbdk37hwrvuJj/xo48ypvHX8hH9u+c8f3eqe+sbzjbNCZKPAWQghhBBCCDFgeM97znS3/MJ17meu+XH/OotH/+4f/Ddkf+vlQ40zQhSjwFkIIYQQQggxIPiFebPcgmt/3I0aObxx5lSe2LXXrdv0Bf9fiCoocI44XX9+Kf65oJ07d7pVq1b5133JNddc46677jq3f//+Xm0Hy/ess87y7/XzSaIT3HLLLe7KK6/0r1955RV35513um9+85v+vRBCCCHSuXb6/+5umPuT7od/MPunpZ77X/vd/Q9tcf/XX29vnBGiGrmB8/XXX+9mzZrlX584ccJt2LDBPfroo/59u9xzzz3u0KFDXRGYxeDIjhs37rRzYGkTqDs4tYmIYcOGtaRDfRk4z5kzx61Zs8Y99dRTjbPvEgY8x44d8/LL+lwWeffGkzZGaH/hvUZdQX27aZf1GTY5c/To0R72FU9U1BlEIt/x48c33lWrU1wuyJpMs8+99tprp5Q7zjuvL0V2V111lQJnIYQQoiJX/MgE90s/8wn3kQ9e1jhzKv/8+rfdxi/+jfvDDQ82zgjRGpmb/nGgZ86c6davX+/mzp3rbr75Zjd16lTv2A90Ro4c6fbt23daOa+069ChQ93u3bsbZ+qDYOn48ePu6aefdpMmTWqcTYcAY/78+b0aNJdBkDNx4kS3cuVKbx8HDx50S5YsSbKP+N69e/c270XnFi9e7M/bQZBHsBXqI7sBws/UuRLeatoEjjNmzGj2Gbt27XLz5s3z7Q/UmzbMsis+wyQFASX3Llu2zJ9fsGCB/98u5Gv1oXyUk/Km8vLLL/syWRqxLtJ2pMfkTha0od2LLledPBJCCCFET0aef567+9d/0f35Z27PDZo3P7bNzfi5ZQqaRS30CJxxYnHst2zZ0nTwcHbvuOOOptPLZx544AH34IMP+oNA28BBZpWFc/F1O8cKDCtbdp3PG0Vp45zed9997uMf/3jzM+vWrUsO6OO043t5TQBZFep87733+vQ2bdrknWz+h+nHeYd1hlBeHKRpkAZp2TXSIb1UitKG4cOHuyFDhjTe1QvBMoHzk08+6d7//vcntxUgIytzqAdGWb1M5rGs24HyszJIwGsrzNu3b/fyK2uTrHuxs0GDBuXeO3ny5FM+361MmzbNTyBYn0G9YMqUKb5u1OO2225zb7zxhj8fYjph/Qv/jxw54l/XDWkzEVEnFuA/99xz/r8QQgghOsuv/txPu7/63H9xn/jxf9M4cyp/u+NJN+f/WO5uv/dz7uh33mycFaI9egTOOLrAilEWOLmskOHMs4LCyhmBdhi0EBizcst1Vlu4jvPM1mzOsdUxXNmyFZyUtHkGd+HChW7z5s3+OgHL9OnTG1fzidO2Va2lS5c2A6zVq1f7bbIW1BP8pq5MXXzxxW7Hjh1+1YnVedILA6LZs2f7AM7qNWrUqGa9yGPChAnNVUiOcKUPx5xAwq5R/9RAijzCFU7ag90E5MlBHVesWOHlyjZb6l01MM8DmbPtnZVsAhYmJaqkayuF6EtMmcw6BZMMtOuePXv8e+rDyiryGzFihD9XxoEDBxqvnDt8+LCfWMi6lzqSnwWh3QrtHO5YMFtDJqNHj/a6mrfaDFxHBrbyjs6OGTOmKeM6oX8jr7omImgj7IsJgzff1MAshBBCdJKhg9/n/vSuW9wvzp/tX8fwk1K/8tur3S/f8Rn3/z6/r3FWiHrI/n72AggUcDw3btzo3+OAEoyyomTwfCLPhgIBOCs8OMRlpKQNthrOdVa5cM7LILgmyLYgBCeeNAhMgGCUYJqyW1BfZVsl923bts2/pszxtk0CPHPWs8pNkGGTFlkQaFcNZpF5vMJJcEnZWAmmbtSRsvGsrW0prRKYF0F5CTLRAdIjSGxlu3YeZTIjT+oSb62tA/JmFwCTDlu3bvXBfZkeonM8BkCbmD0wKRI/02ywivvss8/2aIu83Rp10G7a3MMEFPXEjphAKwO5sEWde7iXrdR33313su2VgaxtxwaTQ0xw5QXxWVx44YW+XNwfTyrRRthXUVltQooja+eEEEIIIcr54KQfcn+xZqX7sf/t1LgAXjz4irtr3QNu3rLb3d/8952Ns0LUS+XAmZUxVlfNkeSIv1CoVVLSJsALV8MJilK/ZIwvJSJ46wtYRbM6cYRfGITTTUBvDna4xRuoH4E2QRrXqzrf4Qpnb0KQjLwt8GNFkhXolEmUMspk1kn4oihWmQnAmGhgwoQV1xQ526SQ6fjZZ5/tXnzxRffqq6/68wYrmUyWxKuutmuDg4ke8q0reG43bdqCL/3jftIiaOZ9GRbY2i4VAlF0Pdxp0g4WmFu9mLhItSGbXDK5UDb6HIJnyoeMrE2zsF0THExQsTqt4FkIIYSoxryfnO4+e+dvuB+45P2NMyf5zltvuc99/lH30euXuT97+K8aZ4XoDD0CZxx4AoOilTxWV3FAzSHkqGtVr5Nps+JsK8xAoB5+W26nIAhie3T4JUHx9mNWgu0a27L5duUwEDQHvBXnO1wJJU2c/U5DPgTJTBAQIHIQWPHt2lVXzvMok1knYCKACRhWU21ruG3fjoPfLMIgjuPhhx/298YroPEzw1lwD6u0naBK2nwW+aPTNollepYymWC7QVjNBdJAvuHKfF1YvVJWwrNgIsOekWYnDLsFbBIE/bb3WUE/E0i0qRBCCCHSufmT/9HdceMn3fvOPrtx5iS7nn7O/dSSW92nP/fnjTNCdJYegTOOOlt52S5pAQ7O6+233+7/s9qLk9vON96yCpW18lhH2nnYKjUBLJB3vI25k+BsW2CFUx2uOMcUrdJZ4JaCBQkE2taW8Zb1TmHBpH3LMgcTIvxcT53btY0smVFngrE6tzObTJlYYkIE0Kn4uVnbYVCUN+VjQoSV6/BeW23mS8eK4HOUI/42dPIk73ZWbPPSzqsXn0OnLU/Ts3B3SBFMYFl/wH/6B4Jx5G3UUS9kjj20IjPKhVxsF0W4mszBxJhN/GU9b0/anXp2WwghhBiIrFl+o/vkf+j5fUNb/v4JN/9Xf8v9r29pQlr0HplbtXEIw63Bn/70p/23IuPE4jDiZOJ8cs2OKs5svF3VnPA60s4jTpu8ccxthayTMBmBPBctWuTzJmBne67B6nFYX8q4du1aL2+cdXs+k6NqufmcbX3lfoI8vlgtDNQ6AUFXHExa0JmyXduCXspMQGbP3tpKe5HMOg0yJSC09qQ+qb+/iy5bmW+99VbfFmGQZcFZ1mpzrAv8bjA/4RQHaRYUpjz7b6SmnQefI3C0rfNMvGFvtH+YNu1oq7Kc4xr3hvI0HY93mtRRL3smPbVeoZ5RLvQ3LlceoQ5z1P3sthBCCDFQ+cHvv9h9fs1K9xMf+dHGmXf57F980f3qXX/QeCdE73HG2LFj32m8FkI0IHjlt4X5krtOTzLUDWUn8GVXQWqA2B8YqPUCJlSYUEudgBFCCCEGKgTLv7nkZ90Fw4c1zpyEn5Va9ccb3Of/6u8aZ4ToXSp/OZgQojux1VVWbgdScDlQ6yWEEEKIU+FnptieHQfNz/2v/e5Ty39XQbPoU7TiLEQGtrppXx7HNmQFbKJu2ApuvxzA89FacRZCCHG68ju/+vPu3//EtMa7d/nyP37d3fjbq/03aAvRlyhwFkIIIYQQQuQy9yeudr/xqZ9xb7/9jrv7Tza4R/72K40r9cAqc9bzzJv+8m/db/3BfY13QvQt2qothBBCCCGEyOWXfuYT7rxzhrrzzzvHLfmPP9U4Ww+f/Z3/lBk08zNTCppFN6HAWQghhBBCCJHJ9509yF086oLGO+fGXPTu63YgEP/zz9zuPvLByxpnTnLon193v3zHZ9znPq9foRDdhQJnIYQQQgghRCbvfc97Gq9O8t3vvt141TrjLr7I/dnvLXdX/MiExpmT/K9vveSW/NZ/cX+748nGGSG6BwXOQgghhBBCiEzOOuu9jVcn+e7b7QXOU374X/nt2R8Y//2NMyd5+n/uc5+8bZXb/cz/bJwRortQ4CyEEEIIIYTIJF5xfruNwPnf/ugVbu1v/bq7ZPSFjTMn+cc933DX3fTbbv9LrzTOCNF96Fu1I/jN2OXLl7sLLjj5/MYLL7zgbrrpJv96IHP55Zf7eg4ePNi/37lzp1u1apV/3ZfYz0Lt37+/V9tBP0clegP9HJUQQohu5/0XjnTb/mxN451zr73xbfehn17ceJfO7I/+mFu59FPu7EEnfStj+//4mlu84p7GOyG6l9zA+frrr3ezZs3yr0+cOOE2bNjgHn20nof077nnHnfo0KGuCMxicGTHjRt32jmwtAnUGZyS5vjx4xvvnDt27Jg/99RTTzXOlNOXgfOcOXPcmjVrcstrkyzDhg2rZB+hXPKCJT4zZsyY3HRNLq+99lqtuhpPoFSZMAiDQAgnX+J0s3QhnKyos89pdxIkrFdWua1uR48e7dEWqXnT31511VUKnIUQQnQdY99/kfvr+/5L451z//z6t91V86oFzgtn/4RbvuRnG+/e5bHHd7hfu/sPG++E6G4yt2rjKM6cOdOtX7/ezZ071918881u6tSpPlAY6IwcOdLt27fvtHJeadehQ4e63bt3N87UByv26BDHwYMH3cKFCxtX0iBwmj9/fq8GzaksWLDA/yeYSoUACZDHsmXL/OulS5f6/0AQ9sADD7hvf/vbPnjMgvYiIGMyoU5I89Zbb3Vbt25ttllqgEm9mHCiTtxH3zFx4kSfJuVdsmTJKenGusD9BJgEy1ynzesImsn7Yx/7WDNdAlf6NsqVAuWiHitXrmyWm7pYX8h1dDOrv6At582b57Zs2eLvRSYzZsxIzlsIIYToBt773lO3av/Ld7/beJUGP2WVFTT/xZZtCppFv6JH4Iyzh6OIs2eOK07hHXfc0XQOzbl/8MEH/UGgbeBIsiLDufi6nWO1jRUcu87njaK0cTjvu+8+9/GPf7z5mXXr1jWd2DLitON7eU0AWRXqfO+99/r0Nm3a5IMH/ofpx3mHdYZQXhykaZAGadk10iG9VIrShuHDh7shQ4Y03nUOAnPkm9peyMjKHOqBUVYvk3ks6zpAF7GTHTt2NM6kQSBqkwDYE5M0oUwItDZv3uyefDL/2yQtYH/uuef8/7qYNm2at/sqq7HG6NGj3ZEjR5p9BP8t8Ee/Bg0a5F599VX/HthxYlB3JubqWmEOoRw33nhjM91du3b5co0YMcK/L4JysQq8d+/e5grz9u3bva2gWxyTJ092t912m3vjjTf89RACdFaht23b5t9TBgLvSZMm+fdCCCFEf+CsKHD+boXA+dZfvM7d+LP/vvHuXdY/+JhbseZzjXdC9A96BM5Tpkzx/3Ews8CZZMUFZ5JVFFZiCCDCoIXAmJVbW+HhOk4m2zY5xyok2zh5zWGBRErabPVkpYrggus4sdOnT29czSdOO1ztswBr9erV/tlmC+oJflNXhy6++GIfRLEKSBBAegQLpA2zZ8/2AZzVa9SoUc16kceECROaq1ocYfBCoERQYteof+p2Z/JAhpZ2uOLGQR1XrFjh5crWfOpdNTBPhSCjymo+ekGZ0ZeYMpl1EnSJ/NGlPDtpFYKwouCRfGlPPvPmm282zrYP7U2Ay6qxTURU0YM9e/b4reU2wYGOHj9+3Ospx+HDh/2kAOlRB/oZ2+HAOSYPPvzhDzfzrjIh1iks4KduQDmpA7ZC4E298labjXAyAZgwoG8UQggh+gtnnnlquJD6rdp3/dovuOs/MbPx7l3+4IEH3e9+dmPjnRD9h8rfqo3ziEO8ceNJhcd5JIAgKDJ4bpNnQ8FWeFKc4JS0wVbDuc4KDqtdZRBcE2RzL+DMkgbOMeDoE0xTdgvqq2wX5T5bWaLM8TZaAjzKC1nlxhm3SYssCLSRTxWQebxiRnBJ2Vj1om7UkbKx3ZigmnpXCczLYBLFgiGCI2vbOiiTGXWgLjYxUxc2UdNuXSyAZMIldTKBVWHaM1UvU0FXkOc555zTnIiItyUXQXl4pMMCb1i8eHGzXrQBW7WZpLEt2TbRQRB63nnn+VVb8g0nteoGfQhXgVNALgTylJ06MJGT0ucQcGO3tDNYewshhBD9iVZ+x/kPV/yqm/Oxqxvv3uXOtX/m/mjjQ413QvQvKgfOOLmsrrI6awFR+IVA7ZCSNgFeuMqHQ576JWM4zKx89QWs/FqdOMIvzSLoIKC3Fd94tY36EcTguHM9a9tyEQcOHGi86n3CZ5xZbb7rrrsqTwBkUSazTkHZr776ap9/arCbBemweokup66Uo0N1Tz6EYFusMhtsS2bF1SaXiiAo/PSnP+0nAQh8KWe4Ys1uCyZxuEa7LVq06BQ9ZuLJ6oVcSSfcwl4H5Ecgu3bt2uS240u9aCfKgw4TcFOuFJtCR5jkoK7oKDJ6+umnT9mmLoQQQnQ78e84v/1O/g/yvO/ss92f/d5vuhkf/mDjzEmOvfmWu/n3/qt74At/3TgjRP+jR+DMc4g4i0UrIzi5OMAWEHHUtarXybRZcQ6DAAJ1+7bbToLDzPZoW9HliLcfEzzZNbZ38m3NYdCADLjG6jBbdasEz+HqGGni+PcFBEypuw9SKJNZJ8AuWB21YIjJDHuf+iw1wSTtyWRIlW+WZ+cFjxLYxBKTBvY+fJyhFSyQbFV+rISzk4E2IS2+HZqJKnssgIDVJhv4TPgIB31OaoDeKtgLbccjHqm7KZhkow7sQLHJDdu+HT6vXYQ9nsLBCjwr+n05kSWEEEJUZcj7vq/x6iRvHT/eeHUq3//+Ue6/fWaF+9eX/XDjzEkOHjrsfmXl77svbvvvjTNC9E96BM44tzjAfPurrRbhTN9+++3+PytkBKD2BUWtwIoLWzpjJ72OtPOwVWoceSDveBtzJyFgNGebICdccY4pWpEyZz4FghRWeS1AgXjLem+C7O2517rJkhl1ZtWzzi8HC4N1DiYyXn/9df+NyeEEj+0wiPMOg+aqE0I2eWIHwadNNFlgB+RJ3lWCadoE3SIANnjNubC98uoF4Qox9eRnuixIZIKKiSqDSQDbAUL66EVsm/Hz8K3UCyxoLvrysay0zX64l+Af2tFhk1nYVkIIIUS3c8HwYY1XJ3njSM9fE7niRya4z915i/vhHxzXOHOS5//pRfeLKz7t/vv/U/8vtwjR22Ru1TbH3rYGswWTb/nFkcRhxAEkGOOaHVWcWduSaStn5lDWkXYecdrkzSpllRW/VsFZR562SklQ8OKLLzau9vx2aMpo20kJIsJv1K5abj7H5IC1JY5/lVW3dgmfcQ7rVYYFvdxHGvaFbbbSXiSzbgb588xsKBcO03GrF7rC5/hf5UvqwL50K+U53BC+l4Dg18oEqcG9faeB2TTlZnKGIBH9D7fVc5CP/WYxB20X2iYBa6zjrdQLPSJdAnezP47Urf2UgUk3uzf8jffQNtFPW/23tEMd5mByp+pkiRBCCNHXjBh2XuPVSV5749uNVyf56FVT3drf+jV3yegLG2dOsuvp59zP/sbvuG/8f//UOCNE/+aMsWPH5j+oIMRpCoHqnDlzfEDYW5MMdUHZ+QIuC1wHCgO1XsDECRNqFpQLIYQQ3cItv7DA/dycn2y8c+7zf/V37j+v/lP/+kNTJrrP/s5vuLPee+pz0F/+x6+7n//N3228E2JgUPnLwYQQ3YmtgIarvQOBgVovIYQQoj8w7NxzGq9O8s+vv7vivPRn/32PoPkvt+9oBs3vv3Cku/vXf9Ef5593ajpC9De04ixEBra6aV8ex/PECthE3bA13345gOfVteIshBCi21i38iY37V9f0Xjn3N1/vMHd/3+f/K6cz69Z6SZ/4Af9a/jzR7e6O/5wvX/9C/NmuZ//6WvdOUMG+/c873zNL/yGfy1Ef0SBsxBCCCGEECKTTb//W27KD/+rxjvnbvrdP3KP/t0/+Ncz/82H3G2LF7pzhw75XtD8N27Vn2x0P/GRH3Wf+vcfPyWgNj4451PuyLHvNN4J0b/QVm0hhBBCCCFEJuedc+rPmB7659cbr5zb8vdPuI/8zC+7y2f9nHt465fdH93+a27N8hszg+bt/+NrCppFv0aBsxBCCCGEECKTYVHg/NIrJ39e1XjPe850//mXvxc4/9e7/TdsZ/G5zz/qFq+o7+dBhegLtFVbCCGEEEIIkcnev3zAB8fGlNmL3JtvHXc/cuk4N//jH3X/7iM/6rdqZ8Eq8x888KDb+9wLjTNC9F8UOAshhBBCCCF6MGrkcPf4hj9ovHN+q/Xnt/ydm/yBH3AfnPRDjbM9efp/7nN/+vlH/TdsCzFQUOAshBBCCCGE6MGl33+xe/RPfq/xrhyef37gC3/t/njTFxpnhBg4KHCO4Ddjly9f7i644AL//oUXXnA33XSTfz2Qufzyy309Bw8++ZMBO3fudKtWrfKv+xL7Waj9+/f3ajvo56hEb6CfoxJCCNHNDB92rvuHTWsb7/J5/dtH/E9R/fGmR9x33nqrcVaIgUVu4Hz99de7WbNm+dcnTpxwGzZscI8++qh/3y733HOPO3ToUFcEZjE4suPGjTvtHFjaBOoMTklz/PjxjXfOHTt2zJ976qmnGmfK6cvAec6cOW7NmjU9ylvH5EpewBTaHcRph/cZdQX17aQdTzTEQWCRzOI6G3VNWsV62Iq8SGPMmDGZ/aBNOh09erRHvxHnndeXIoOrrrpKgbMQQoiuI/6t5pBnXvim+8vt/+A++xdfdO+8o7U4MbDJDJxxoKdMmdJ08HB6b7jhBnfffffV4tThTHZr4NzNZesUFtTs2LGj1lVVZAkW/KBXEydO9OerBM99QVHgTD0AHbGgae/evck6Q/2HDh1aGiRZu+zbt6+Zdph33dSZdtz24fsymWXVuy5o13nz5rnNmzcnTQRaWZ9//nl36aWX9riPgHfGjBm+HYcPH54ZOO/evbvUrhQ4CyGE6Gb41uypEye47zv7bPfC/gNu19PPuX/42h63+5n/2fiEEAOfHj9HhaNIcLNly5amg4gjd8cddzQdOj7zwAMPuAcffNAf5nADDiDOIufi63aOFRhWtuy6OdVQlDZOL8H7xz/+8eZn1q1b5x3tFOK043t5TUBTFep87733+vQ2bdrkli1b5v+H6cd5h3WGUF4cpGmQBmnZNdIhvVSK0gYc/iFDsr8NsU7QKWBSJgVkZGUO9cAoq5fJPJZ1uxDMWUBHUH3w4EE3cuRI/74MdHjQoEFJARLXjxw50njXv2DyyaDOo0aNctu3b/fvkRlBMzs7smyXdkNGpi91gkxZ9U3Fguwnn3yyceZdKOfkyZPdbbfd5t54443GWSGEEGLg8dt/9H+6n/ql29y/++SvuyW33+OfYVbQLE43egTOFtTs2rXL/4/B0V2yZIl3fOfOnetWrlzpA+0waCEwJpDgOtsiuY6TSbDBObZg8gwtrzlsVSolbZ7BXbhwoXdmuU7AN3369MbVfOK0CW5h6dKlzQBr9erVfiupBfUEvzj9KVx88cV+xZYtxVOnTvXp4fyTNsyePdsHcFYvAgmrF3lMmDDBnzeZhCtUCxYs8AGUXaP+qSu25IEMLW3aY+bMmT5PDuq4YsUKL1e2y1LvqoF5p0AvKDP6ElMms25l0qRJ/j8rqhbwZ00KAG3ApMaePXsaZ/oH2BpBMSutMGLECL+N2XQWncTGsF3qFzNt2jT37LPPJut4Fejfjh8/npw2QXHeyjRpoKNlEyBCCCGEEKL/0yNwLgNnHsdz48aN/j3OI8EoKy8GzzeyxRUIwFnhyVpZiklJG2w1nOus9o0ePbpxJR+Caxx1W8XC2SUNc9wJRgmmKbsF9fPnz891mmO4b9u2bf41ZSaADiHAM2c9q9wErkUrsQTaVYNZZM72T8pjeRNcUjYCOOpGHSkbzx8TVFPvKoF5FUiXAMrk1C5lMqMO5GkTM52AIJBnX201tQwmlC688EIve2S9fv16X4dwcshW0pnQOHz4cA8dzNutUQftpE0duI8JKIjbGV1kooatzewcyeoXmBDBJutcbSYP27HB5BATXL0Z7NqEFEfeJIkQQgghhOhuKgfOrB6xuopzbM4gznYdpKRNgBeuhhMUpT4HSdBGINIXWFBhR/iFQQRGBArmYMdbyKkfgTaBFNerOt8HDhxovOp9qKfVOeW53lTKZNYbEOSxem8TOamgv/Z5/jOREU6i2M4MDrY8h3ULrzHRg0zrCp7bTZtJGbuf4PSuu+5qTvawk+Paa691d999t5/MOOOMM/z5WBdYbcZG65y4IY/Fixc360UA31sBrO2a4GCCit0fCp6FEEIIIfofPQLnV1991X8zbtFKHqurOKDmEHLUtarXybTjraEE6vYtwJ3EAixb0eWItx+HQQfbstnKGwaC5oC34nyHQRlptvIcd6tQT6sXwUudK31lMusktCnfIk0QXGWLOIFw6vPQwDZttvxnbWlGlnyBVidoN+1wpwl9ChNePF5hATG2x+6ScCILmYbPQncCq1eVNqgL6s4EmBBCCCGE6H/0CJxtBYztlLZahPN7++23+/84xASgPHfbKgQPWV8MVEfaeZA2EMACecfbmDsJQQQBBLD6HK44x4RfrBRDoMHKeQoWJNgz5hBvWR8oZMmMOnfiy8HCoDlvt4PtMIjzJhAmOCQNsGAx7znmohVY7mWCy54lNsiTvMPt31XJSzuvXjHYmT1LzIHOkiZ2Z7aHboYTKdSVwDJv9b6OeqET2EMnZFYGabOtv789sy6EEEIIIXK2arO6GW4N/vSnP+2/VRYnFycYJxPnk2t2VHE47Rlm25JtTngdaecRp03erFLmBT51QiCAPBctWuTzJmh48cUXG1d7fjs0ZVy7dq2XN0FG+I3aVcvN55gcsLYkoAlX/roVC3opc/gt7LbSXiSzTkOAx06F8Hng1C+SQxe2bt3a1AUC8PAnjuJ6ge24iHWBe/nJuHjF24LClGf/jdS088BG7V6O8LfQOXgN6C8HQXOowxZUFq0211Ev7AD5p9bL2oP24pl6/ltbh2mjC2xHp26c41qowxxMRrJVPW9iQAghhBBCdC+Zv+MsxOkOgVHe7zh3O5SdwJddBVW2kXc7A7VewMQBE2r6HWchhBBCiO6k8peDCSG6E1sBZVV0IAWXA7VeQgghhBCi/6AVZyEysNVN+/I4vthNAZuoG7aC2y8H8MWIWnEWQgghhOhOFDgLIYQQQgghhBAFaKu2EEIIIYQQQghRgAJnIYQQQgghhBCiAAXOQgghhBBCCCFEAQqchRBCCCGEEEKIAhQ4CyGEEEIIIYQQBehbtSP4zdjly5e7Cy64wL9/4YUX3E033eRfD2Quv/xyX8/Bgwf79zt37nSrVq3yr/sS+1mo/fv392o76OeoRG+gn6MSQgghhOgf5AbO119/vZs1a5Z/feLECbdhwwb36KOP+vftcs8997hDhw51RWAWgyM7bty4086BpU2g7uA0DAxa0aO+DJznzJnj1qxZ45566qnG2ZO0M7kST1BAGDDFATuE6YfyNOoM6uPytZI2ujR+/Pge91raR48e7WFfnZyoaCftsrYuSzu1H+VzV111lQJnIYQQQoguJXOrNs75zJkz3fr1693cuXPdzTff7KZOneqdyIHOyJEj3b59+04r55V2HTp0qNu9e3fjTD2gRxMnTnQrV670erRr1y43b948H0ClQpAxf/78U4KVvmbBggVeR6gTdRs1apSvayoEjiYTjsWLF5+iby+//LJbtmxZ83pcd3YD2DWOOgPMW2+91W3durXltAkAhw8f7l5//fXGmZNwnnpk2RX6gF5s2bLF50m/M2PGDF+edkG3P/axj/mAlbQJbOnbUtMuauuytKkXwXA7+i+EEEIIIbqDHoEzTh3BDk6srYzg7N5xxx1Np5fPPPDAA+7BBx/0Rxg04CCz4sS5+LqdYzWKVTO7bqudUJQ2Dul9993nPv7xjzc/s27duuSAPk47vtcCyKpQ53vvvdent2nTJh/08D9MP847rDOE8uIgTYM0SMuukQ7ppVKUNhDoDBkypPGuHigfekQQZiu2Gzdu9EEjwUUKyMjKHOqBUVYvk3ks63Zhp4TtlqBuBw8e9BMu/Z1p06Z5u281EEfeBLxf/epX3fHjxxtnT56fPHmyu+2229wbb7zROPsu6AN6sW3bNv+efgeZTpo0yb9vB/qsG2+8sdmXEbyy8jtixAj/voyiti5Lm88zKWL6v2fPHv8/tb8SQgghhBDdgw+cP/Zj/9r91ef+i/viH/+uu/bH/62/gBOYBU7fkiVL3N69e5urMARIYdBCYIxzaaswXMd5xgHlHNsdw1UzW1FLSZstpAsXLnSbN2/21wn4pk+f3riaT5w2wS0sXbq0GWCtXr3ab8m0oJ7gN3Vl6uKLL3Y7duzwW4pZnSe9QYMG+bRh9uzZPoCzerFyZfUijwkTJjRXpjjC4IVVryNHjjSvUX9zxssgD2RoaYerYhzUccWKFV6ubCml3lUD8yyQN0FEqEcEGtQjNchELygz+hJTJjNRDdqbCRQeU7CJiKp6gF4SWD722GONMydBV/NWmw30IrzOoxwDYTJCCCGEEEIMDHzgfOsvXufGXXyR+1djx7iPXjHBX8gDR5rVJFYPAaeYYJQVJYNnNnk2FGwVJmWVJSVtsNVwruOojx49unElH4JrgmzuBZx00iBYAJx+gmnKbkE9W4RtNakM7rMVM8pMAB1CgGfBbla5CVynTJnSeNcTAu2qwSwyZ6so5bG8CS4pG6t51I06UrZjx475oJp6VwnM82DVLXxOtxOUyYw6UJd4q3OdMDExZswYt3379saZctBDJivyJmcuvPBCP4mTF7zm7dZoB3QFeZ5zzjnNiQh0lMmmFNulDtgS5a0KK7Hot8mB/0Xt2g7oQ7i6XYWyti5KGxlSL2Sa2qcIIYQQQoju4czzzzvHjb7g3W2LI84r3qpMQMTqqjn2HPGXFbVKStoEeOEqJkGRbaUsA6f28OHDjXe9C0631YmDVXkDR5qA3lZ84y3k1A+H24KtrG3LRRw4cKDxqnchcE4JulqhTGa9AYEQq/c2kZOCBfMWnHIvXy5lQaNNZth1Jj3QcQuebdcGBxM9PFpQV/CMbYWBLwEiuyZscikPCwoff/zxliZcqDP1XLRokW9L0nr66af9qnOdYDcE6GvXri1c/c6irK3L0mZnC9iEohBCCCGE6F/0eMb5nXfe8QFP0YoPq6vhlxdx1LWq18m0WekLg4DeWBUFc7ptRZcj3n7MSrBdY9sq3+QbBoLIgGusDrP1ukrwHK5sk2Yrz3FXJX7eEyzvur6ErExmnYQ2JeClnu1sEed+AtY8WI1FjlkQoPHFVXVgwV4r8iOoHzZsWHMSwx554H3qhEY4IcBzwax81znhg73Qp/GIR9Xgvqyty9JmYqPVgF0IIYQQQnQHPQLnf/mXf/FbefmSH1vlwvG9/fbb/X+cRwJQnrttFVaSeJYydqjrSDsP0gYCWCDveBtzJyH4efXVV/1rVp/DFeeYopU2VsxZOU/BAit7xhziLeudApmySo6MrZ1pV/K2tqiTLJlRZ1ZQ6/5ysDCQytvtYDsMyvJm9ZnHE7J0ELmRF22edZ1rBGzxRAR5kjdlSIX0yYcvCDN4HeedVa94ldweeWCiKP7G8BQs7ThIbaVeYIFt0U+h5aVd1tZlaZMuQTP/s9pQCCGEEEL0D3oEzsDqZrg1+NOf/rR78sknvQOM84cTSDDGNTuqOLP2DLNtySY9qCPtPOK0yZtVyrzAp05wqJGnbUUlmHzxxRcbV08632F9KaOtThE8hd+oXbXcfI7JAWtLJg5aWXVrBduWau1MvVIDCAt6uS/8FnZkBUUy6zQElOxUCJ81Tv0iOQs87YAwuAzrhdyY+LAdF7EuENARsMUBpgXSKc/+h9Be7Aiw9KGO3R5huZEZq9HUzVajw7bmYBIkK99W6kXa6AbtZfbHkboSXtTWZWnzGZ6J5tlxsz8O6++EEEIIIUT/4Ywpl016Z8fmdY23zh39zptu6ic+2XgnRPsQLLKDITVo7gYIeubMmeODyf5SZsNWSdlV0M428m5joNYLsBEm1O68885emfwRQgghhBDVKAycf2rGR9wtv7DAnTu03t/4FacfZ5xxhj8MnqXn6FbisvYXTM7dLt+qDNR6GaZvA7FuQgghhBD9DfM9v/v22+5zn3/UfWb95uLA+W/W/767ZPSF/rUQQgghhBBCCHE68Z233nJXzL4h+xlnIYQQQgghhBDidOfsQSd/hakwcF636WH3xpG0b3AWQgghhBBCCCEGEv/yL9/1/5O+HOw979HCtBBCCCGEEEKIgc05Qwa7J/7ijxvv3t2qrW/VFkIIIYQQQgghvgeB884HP9t4p2echRBCCCGEEEKIJBQ4CyGEEEIIIYQQBShwjrjlllvcgw8+6K6//vrGme7g8ssvdw888IBbt26du+SSSxpnuwPKQ7mQG8c999zTuNJZyMfypN16G/LftGmTu+aaaxpneoew3t2oD6L/g06j2+hYX+i4YX1Llf5Y9iE6jY3Hpmft+AvY1n333efTNLp5vO8E1BcZ9FU/09f0lS/Rl9gYQ927jW5tj26W2elEj8D5zDPPPCUIsqNKYELjxgNBt4DC9UWQ1UlacS7rZMGCBf7/smXL3Ny5c91NN93k36dgHUFVB4G6Dh061Oe5fv16N2HChGR9szxb1e9uYOfOnV7Wixcvdt/85jcbZ0/SyuRPlkw4wnbBdsJr8cASXu+Ew2f1qpp+XLdQLvG1rHQ7Wa920w7LH7eHYXmE9ea15cvBZ0IeffRRN3/+fLdy5Up37Nixxtn+Q559hPXOk1cetA1tlCezorRT9KxdUnQhi9Cu7Ah1xbD6xfWGVm2zjHbso6heFpiG1+L0i/J+6qmn3MKFC/3488orrzTOdge0e7f6X52E9qLNTyfQSXQzy177moHaHqejnhWNbWUU9cNG0dgV9sNZ9/YFPQLnt99+2zsbNiCYA7Jq1arGJwY21JP63n///Y0z3YEN1FmBUl8zcuRIt2/fvpbKNWnSJPf000+748ePVxroR48e7Y4cOdLM86yzzqrkVJ04ccIH3LQ1/ydOnFipMwAmCAguCDK6ARtEzz333MrBjgVKyMOOF1544RQZwyOPPNK8HtbdOjPO03fA0qVL/f86oPMcN25cc3Im1Q6Qycc+9jG3YcMGfx/lnzlzZrOt43pT37DcdPo2QZN1vR3alRn3X3fddc26Zekinxk+fLh7/fXXG2dOQv9mdSZv6jjQnQH6l6uuuspPBlDvXbt2uXnz5iX3O0wQ0s9xL2mMGjWqKbOytMv0rF1SdKEIG+ftiMc/6nH11Ve7F198sXHmXVq1zTLq6FOK6nX06NFme3GE5e6k3afQzeO9qJ9u8yV6A+sTqyy09Bbd2h59ITN8pRkzZjT95arjJhT1w0Vjl42vdh/+G2WpkncneG/jfzIUeMmSJW7Hjh3eASVgIcC+8847vYNGgw4ePNh/dsWKFf4/QQpCQRg4ssuXL3cXXHCBv4Zzbkpg10h78uTJbvz48afcCwh51qxZ/jUgyLARKF9YBisbTs+VV17pz5EuMxdg+Yf3xXkaOAjcC3Gdbr75Zvfkk0/6RiUNAhc+zwCYAgpi5YOwXuG1UF4Qlgm5mGxQVJvsCGWWV7c8MBqUmnaGOH/qjoNx6NChxpl0uBeHi/Z+6623fBCdWq49e/Z446VuyPzgwYPJ98bQRtRzxIgRjTPFhDLJauc8HQwdINp0ypQpldqiDHQcWdKxhW3UCtQBe37ooYcaZ4oJbZB6EmDQtrRxu44f8h40aFAPGabA52+88cbGO+dlg77ktTV6zEQQIAMmVLZu3drMd/v27W7OnDn+Wqpt59GOzPjM1KlTC/WHMlLXr3zlK+6KK65onO0JeREY1EnYZ1XtK2P7qQvSJxAx6ENoX8qU0pbh5DGfp88xXamadqhn7ZKiC+1CEHf48OEe5W7HNsvoZJ9SRKftHmI/JpzoLBrvIbaPKv4X5Nkm6eb5diYHZB/6b7HthmlX9YHg0ksv9StOWXnnpR2ej327NWvWNH3K2E9kIoTxjbqX+Uh5eafIrIgiXwJZF/WV/C/z/Yrag9fmt9lnQr8z1rMs3y9LF5BDXnvY/WHZw/IaYbkh9oeBfsjSiOOAImLbC/Mvao8iPbN6xTKL61aUdxllMktJmzSY8A3rVca0adNO8a+3bNni+0f819Q08igbu2jjMLZ49dVXvX2mUGSbgG2R3mWXXebbEJBvii619IzzkCFDvCHffffdfsaW99OnT/dCZIBlZoIVDpvNDWcQ6Kxw0jift9JB4yMsPrN//37fcIAgxo4dmzv7YEq7d+/e5mdsxhYF4j0CQqHsuim8lZ0yYzAxlDGcgY5nXXAeaJzNmzf7zzCbzfsUMFa2Goez32HDWdkpdwzlJz8UAnnY/WYwpI2MbLYIpU+dLeIzfJZ7uJfy2SoL19jqtnr1at9x0qHQkVTZxkEayA1ZHjhwoOkUpYA+YczoCg6OtWMrhOVIgbzRaWSaZcToUZYOdhraPHXwKAPdxVHO6sx6GyZUgEEaHeOI+4w6QPfQwd27dzfOnHSi6FyN0IHsS9BZ+qMPf/jDTZnE20nRQ2zksccea5zJhrRwugn26gD7f/PNN5v6j11xzspW1FfyGQY7sx/r2wYSWXrWDim60A44ZPT79PcxvWWbvU0n7T4ek+NxpGi8h7zxJcX/KrPNPN8O+AztbP4bB/mZ84ye4FBbvpQRW06VGY4tTjR5Y/dgj4EVpV3k2yEXyssOtTzi9oh9pLJ6FcmsjDJfoqivLPP9UtoDv43ghOvIjl0zdn327Nk+wOIaadAHkCbwmTxdKGoPg9f2mZi43NSNOtNOBuW2GCEudxG0KTtnrK05TF5Q1B5l9SL/cOyi/NTDZFaWdxlFMms37TyoE2OLjVVWRyYGimwqlbKxi3xpa2TIOXQAv9T6nDKKbBPbog7Y1pgxY7w+0a4s2pbRUuCMQpEZhefAOUsRognJBmA6NWYD4oAJxbBGR3Dcw3XyovIGnT5lsXsxLjqWjRs3+vd1QbkxAMpqAyh5kBezLgYdLobHZ5gdr7KigCKGadUFjg2GbAPntm3bepQ7D5Mn9wDyJ0ilvVBeOkrruK0jCQfpMiibGQFtiSIj6xTo0HH2cRDQPXSgyrM+DNKLFi3yhsr/xx9/3JejLsomAdDvKrLqTWgDJnJYZYlhoqLMQaZzQ79Ce2kH7OjCCy/0skLHGBxIP7WtQ9DZUKeBdKgPk0AQ6jv6aRN3wP02m1wnVWXGivl5553n3njjDS8TczRtOynpYR9ZwY5B+1FvVqbqnCQhHZMlEJBj25THyOsrbVCruw+PwTaRUTiTXgV0hsE2y0by0s7Ts3Yp04UUbOKTg77VoC44pfT7Wf1jnbZZRKt9Sl69ACcK3edaOOHbabsn3XBMboWy8SUP8iyyzSLfDttEZnl9Cg5nqCfYeJUxPczb+gWrZztp24oV6ZiPYLIjnzIfqSzvVv3hVFr1K1Nkhu/GqjzEuoCvbffG9SrThVax/ob2sLxZDGABzSbpIIwRssaXIvD9wrTqArnyyKGNXZSfeoSBWKfyhpS0Cb5tgqMq9J/0Hegg/n6V+CavHy4bu2h79JDg1/IOJ2DKKLNNxhMWSjmwj1R69Vu1MYphw4Y1ByuOcGuBEc7EI7hwxQ6h272kEw5mNCQzYFUG1lRogHAGuk7oFGk0C0rqXC1AJqHSony2tSaFTsmT+jEoWluj1DgrKZ2KBQV0+Gy1YlKDjpzOM7WNaE+bnTPDrGulxAYiZI3M63YiOw0TJgwAcedqM54mM+Qey4zBg9l6JkLqWv0G0jPHhv8MpFWdE8rKrPnatWtP0WnKafWiI73rrruazgWOAfeY/ZDva6+9VqtNtCoznB4bpCkPZWeSEXvHRsomg3A8rN44l3X1O6RBWiYzJqYY1LsJG5jNVquAbLERc2hj8tIu0rN2ydOFlPYM9QDHhfvMuWHFjzGgSC/rsM0iWrWPonphFziQdp22ZIumBc+9Yfet0s740o5t0qYElIzTMaSLfMOJ1dg/qwq70OCiiy5qK23SwQ9Cj9Dl888/35/nNXUp8pE6Ua/eILXcBCKm09juDTfc0BwzbKLPDtsmDEW6UAfW9nVD3QikmBShTth5XX0wQeDFF1/ctEsO9MroZN6dTBvQI1vhp1/FZmxCqoyifhiKxi508NZbb/V1M5+zzvioVXo1cAYiewRgguRI3cpqjq/dz/9wW3VqQ7YCg0v4XCSBGzNudRE6VXTobIOpSznCbSV2pDogpsBGXQ4RRs0kStix0zGnzKTTDgR2dNp09syqkk5WsJcC9zAzSGdQB+gyOo2cCc5xsvtL8Ey7xLsrskBmzN6FcC/BNefpLOsCu263beg7GFRs9jEPnHMmVUwH+WzoYD///PNN3auDVmXGBFHeLPsHPvCBU2zLHEHe5w06VWfti7DAkUHSbACZdgsM2lkTKCkQWBFg5QVxqWnHetYORbpQFcqMMw2Ujf7YnufjwBHkva3Q1mGbRdTVp4T1yoL2CH2JTtt9O1CXVseXdmwzJZgJtwxztLOrCl8DX+ill17y71tN2+yDbeDPPfecX+EiwKE9zUbLfKQ669WbtFpumxwM7w+3CHcqsDVCP5N+CD+0Lqg/cqBO+H30L/QzdUAQaLZlB+kbncy7E2ljH9hguMJv7dGKDsT9cNHYxYQZuw/om6kbfTLja7jduq/oSOCMcAg0bauLQcXprBiQWiWc5SKdcAYN54/tc0WDCAN91W1OlJuBO3yOgk4l3vJZF1UnAEy5wy0hBiu6tIPNpFcBeeKAm5JihClBVQoEv8zgh50MgzhGUWbsGFtYrtjpqYrVK9zpUBfIKcsxIZCr8jx4XaC/BE95eafqNTaGraEjgAzNwQ0HihDyI9+qM4bkQTBi5eU/7y1vKKqXBc0pX55E/fMmYEiXla8vfelLp+h/q/VqR2bWl1Je4Br9E4MS9bQBlAMbY0DHCcqbpGT7KP1qVr1bgf6IfCgXdUhd1cK2wz4AR7/KDpkyLLDlf15duUaQGI8j1MOC5qwgLiVtI0vPinS4iCJdsLZOTZtr2Ap9IfdagGYHAQZOlDngKbbJuU7ZRyv1ygJfoqrdt0rog1BH0m51RwbliccXzmX5X0artoneY5v23HEI6aFv7Nwy220H0rAxOTXtMt/u7LPPdk888YT/T9rmZxX5SHXXq24oX5bvV0e50Sv6Y6AvDFeci3TBaMXXtnLTPlZu2xZeZSttKq0Ef3n1SpFJSCcnH/LSZmyquhqNfdD2Nh5ae1BfA1m00g8XjV02YRZOzHIv/ZXpZV/R41u17XeczVnhP04EA2bqjC/CsFVADgzQnFa+0cy+SMRITRvDYQBlBQWeeeaZUwImc4pxbsgXcBjDbzhkSwD5Wxo4AaSJUtg9wBYm0rFy8xmUzu4jX96TbpWOIQsc+3BLR5w25Q2dR2Rn5TYwBt6bXE2mNmtKfTjA0s9yEkKy5Em6qavVRdDRYxzWLkB5MCy2a1veWXCNwNv0C7785S/7GWVklfKNlhhfKJMq9Yrbiy1QJlOgHcIJnbpkVkaswyYfAqaU/K1Tw85i+dHRhvWivnzhgukQHR/XbHXKCPO29qXTZYaxrI0Ma29rr7A/KYNyMwjH7W39AoNAKLO4vwjbOs9uWq1XiszyIA9WNbNsPoVYh+P+pB147pc+w8r19a9/3X+pYwq0KfZvbUWd6oI2YrIHXcBmjdS6M7nAvcjN6ma6CEVpx7YZ6xnwmj6R9MPdTWW0owvx+FLFtiDFNvvCPsrqFbcH7cQkgZFi960S+iCUi/4WZxHKxvu4H4Z4fKGcef5XO7ZJusgh1LNQNugbcgv1P0vP84j76LCdU9LO8+24zvZsmxhhjEMufFs1WB5h3qn1ape4HyYPyzt1d0Oe79dOe6Ar9HcmE+4Lf4quTBcgrz1iHTb7ziu36a+l2w6x3cdpF7VHWb2yZAKmx2V5F1Ems3bSLsPsg/Q5YnkUUdYPo4dFY1d8Lb6/rzhjymWT3tmxeV3jrXNHv/Omm/qJTzbeCSG6DTotZj2tc+lPUHa2+aQ6U/2FgVovBmxWfe1nW/oD/dk+cIAIGLvBOaiTgWof5hiyCysMXoUQQvRvzhky2O188LONd85956233BWzb+j9Z5yFEKcfBATMGg4053mg1kv0LkxQsHI00IJm2YcQQoiBhFachehnsHrDVh2oshVOiFTYWsuWTrZPdsv2qFRkH6LTxFsnU7aPCyGE6D/krTgrcBZCCCGEEEIIIb6HtmoLIYQQQgghhBAtoMBZCCGEEEIIIYQoQIGzEEIIIYQQQghRgAJnIYQQQgghhBCiAAXOQgghhBBCCCFEAQqcI2655Rb/u5P8/mQ3Yb/zuW7dOnfJJZc0znYHlIdyITcOfg6mNyAfy5N2623If9OmTf6ne3qTsN7dqA+i/4NOo9voWF/ouGF9S5X+WPYhOo2Nx6Zn7fgL2NZ9993n0zS6ebzvBNQXGfRVP9PX9JUv0ZfYGEPdu41ubY9ultnpRI/A+cwzzzwlCLKjSmBC48YDQbeAwvVFkNVJWnEu62TBggX+/7Jly9zcuXP971umYh1BVQeBug4dOtTnuX79ejdhwoRkfbM8W9XvbmDnzp1e1osXLz7lN2rRb6tTVZmaHtn9ceccyy1L32ziiaNq/nmYE2nptpJ2nEZcdit3fL5MJu0Qy7MVeVkaWeUK24K6h/ZBPe0aR3w/v9k8f/58t3LlSnfs2LHG2f5Dnn2E9UZuyK8qphNZ9+e1B+9DeduRZUOtEKdftW5mH1k6WJZ2kZ61g8nS0m7FPorqZVj94raI6x1ef+qpp9zChQv9+MNvhXcTyK1b/a9OQnv1t3G8XawvqqsfqZOB2h6no561M26G44Mdob7G/aylb7odXguv9yU9Aue3337bOxs2IJgDsmrVqsYnBjbUk/ref//9jTPdgQ3UsSPYDYwcOdLt27evpXJNmjTJPf300+748eOVBvrRo0e7I0eONPM866yzKjlVJ06c8AE3bU1wMHHixMqdIRMEBBcEGd2AdUbUCfuFpUuX+v8p8FlkajIZNWpUUya0zbx589yWLVv8dWQ3Y8aMUzowOsBx48Y1J1Dq1NWjR4/6MpFu1bQp46233uq2bt3avN/s2zrnc889NzNAZFII3eaeWCbtYsGplQnZV2kvykHdXn755caZd0EX0GmT2d69e92SJUuaNkL9LV/ai0mouurVraDDV111VVMmu3bt8jpdNcCwicJYX4rag77C5M2B/XD/q6++2vhE+zzyyCPN9Kv0S+gK5Suyp7y0y/SsHdq1j5R68Znhw4e7119/vXHmJGYLljf1p7/rrWC0m8d7UT/d5kv0Bmbf1L3b6Nb26AuZMabR95m/3Mq4aXGkHXF8lTW+0O/R/4X38Tl8977uEytv1UZYNsNls8E2m8s1ZncXLVrkzjvvPLdixYoeMwTmqNrsAc62YddI22Yh4tkFrtm9HLwPsTLYdSsbAyHvx48f76688srmdcs/vC9vRiOcGYnrdO+99/qyWBr8r6JYVj47wnqF10J5Ae9Xr17tLrjgAjdr1qzm52zgh1BmeXXLg89yj90f50/dcbpbgXsJtAhMvvWtb/kgOpU9e/b4IIa6YcQHDx5suZPDScHhoyyUqYxQJlntnKeDIbRP1bYog87IOlQ6FuRK26TWCXlu377dv49lMnPmTB+8btu2zV9H1sjc2oz7Bw0a5O68886uc/SmTZvmA/6syTCCoB07drjNmzc3zpwKE2k2aYhMqDMTRZ3g0KFDjVflIG+CfQYWJp1CaC8CRNqPMgP1p32y+iTai6CkTsI+q2pfGdqP9W11gCyQl8mEPgRS7MOgHgSK6ExIUXtkgd2002fVBbKePHmyu+2229wbb7zROJtGVT1rlyr2kVIvPoND+NWvfrVHm2HjYX5McOCw1UU4JuMvMfFrFI33ENoHRxX/C/Jsk/vN/7LxLR67eM05uz+23TDt+FoKl156aW7eeWnb+SzfzspLnUK4N9waHrZHLC/Iy5v/ZTIrgnzsvlhepFHUV6b4fkXtwf1cDz8TyonPWr4cWb5fli5Yenm+NvDazoflNcIycYTlsjKHaYTXy+CzYdph/kXtYWUqqlcsszBtKMq7jDKZpaRNGnG9ysB/Cscq+niYMmWK/9+b0KeH400R1DHPNs22br/9dn8euZh8U3SppWechwwZ4gecu+++288083769Om+MsySMjPBDK7NQoczN+GqVt5KB50Agxaf2b9/v284QBBjx449ZfYhnAXmP4EDgrXP2IytrSS/8MILp8x+WKBhZafMWStPlNG2BnNfPOuCs0BwgQPOZwgyeJ8CxspWY5MXR+jkW9kpdwzlJz92B4SzNubsk3Y4W4TSp84W8Rk+yz3cS/lsxY1rGKB13NaRZA06eZAGckOWBw4cSA5cwQI3dIWVxN6cgSNvdBqZZjlT6FGWDnYzI0aM8DprHRKdB22KbbMiA9htWA9s1IJIC6CXL1/u9YAjq+PubdAxyo9uWbnCgQM7yQqoexv0njLu3r27caYYdJCgoAhsyjh8+LAPDmjnGJORBZLtgv2/+eabTf3Hvjlntl3UV/IZVizNfqxv6wYoG/WgbNQpJKU9DORNf2+TVH0J9k7f2U7/lKpn7VDVPlLqRT/NGPLYY481zrwL+dD/0Q9au1M36x/bgbTCMTkeR4rGe8gbX8yHKfK/ymwzz7cDPkP/bv4bB/mFY0Y7uw+YPJg6darPG7sH291RlHaRb4dcKC871PKI2yP2kcrqVSSzMsp8iaK+ssz3S2kPdJwxnOvIjokwuz579mwfTHCNNGyhAvhMni4UtYfBa/tMTFxu6kadaSeDcluMEJe7CNr06quvbrY1h8kLitqjrF7kH45dlJ96mMzK8i6jSGbtpp0HdSLusX7X6jh48OBCm+oEtD9+igXuKRTZJrZFHbCtMWPGeH2iXQnOy2gpcEahyAwj4WDwSREijUsj4LgCnRoz93HAhGJYo9NgtmpGXlTeoNOnLHYvxkXHsnHjRv++Lig3BkBZbSAmD/IKZ11oUAyPz7DaV2VlCkXsxAwOAQ2GbAMnK4ZxufMwedoqI/InSKW9cCLoKK3jto4kHKTLoGzmjNCWKDKyToEOHSPCQUD30AGbXaoKBok8wvZtl1inY9DvKrKqSqt1YgBi8oPOhhl5sy9b4bfBy9I30PULL7zQ1wc9oAPneivtkQUdXt4KShGUHds655xzmgMK/VXsQKRAXehg6wx4SJM6MQEFZmvtYP1P6EzggMYrt0xskDdyxQ7r0kXSsfoAuoNtY69GXl9pg1rdfXgMckGHwpn0MuoqG/1qnfI28lad6iAr7VQ9a4dO2AfQ9uij+SIxTKbha9APkjf1DB3/dmAhIByTW6FsfMmjzDaLfDv0n344T2Y4nPgH3AfYeJUxPczbdMvq2U7atnOAdMxHMNmRT5mPVJZ3q/5wKq36lSkyw3dbs2aNfx3rAvpv98b1KtOFVqFd6E9oD8sbW2QBzSbnIYwRssaXIpigCdOqC+TKpKGND5SfeoSBWKfyhpS06cPCya4q4HNbX4i/XyW+sYU1DtKJSRm76DefffbZSmUvs038YxZKObCPVFoKnFsFoxg2bFjTAeZAYDHhrDJGE67Y2XI6B+ngFBs0ZLwqVhc0QJ3Po4XQKdJopjy2naAOkEmotCh+FcemU/KkfgyK1tYoNc5kSqdiTg8d/kMPPeQnNejI6TxT24hOhi1tyIT/yL+ulUcbiJA16dcVPKZCB86MOZMRVeqEXlx77bV+do7O9YwzzvDnaX90lEHAZEYb8Gy6OSVAfuZ88J/Brg4HAt2gPBb40lbXXXddcvBMpxgO8AS+VQZaIC8CHvK2OtYB7WP1ohO/6667kpzBMmzwNh08++yz3YsvvniKfeB4WN60Y139DmmQFvmafWFv3YQ9K2u2WgZtwow+bd9Of0g69FfhGFcHthrBYSsddQXPRWmn6Fk7dMI+0E/s+fHHH891wuiz+V4EnC6rc53jcju0M760Y5v05QSUjNMxpMsCR+gAx/5ZVWwnw0UXXdRW2qSDH4Te4M+cf/75/jyvqUuRj9SJevUGqeUmCLL+jL7thhtuaNqETVrZwRZlo0gX6iDcxVIn1A2bZlKEOuEX1DHeArtsLr744qZdcqBXRifz7mTagB7ZCj9+AzYT+n5FhH4GC23oZRg8p4xd9Ncs3DBJ0g30auAMOLEIxwTFkbqVFWEiPLuf/+G26tSGbAUGl3D7GU43M251EToIdOhsg6lrkA63ldiRGlCh5GE56giEAKNmEiXs2OmYU2bSaQdm9mzVhllV0uFcniMUw0RIuK2lSoBZBrqMTpMueRBw9VbwjFzpiJhZsxnZFHB0sSWbnYNQzhB2gNSPVVwb4LA9OtPegAA9tPsirF9px5botAnUq05EVIX00cs67D7UQY6HH37YTxbk9bNVZ+2LsKCUQdJsgHp1CwzajCNr165NGncAh4TnRm3iCCfU3mfNoOcR7+LpBNgv9t8J4rSr6lk71GUf8dhjgRLvCSpxdln1solA6kwbh9v8+pJQ5lXHl3ZsMyWYCbcMc7SzqwpfA1/opZde8u9bTZuxDZ1kG/hzzz3n7ZYAh7HN9LTMR6qzXr1Jq+W2ieLw/nCLcKcCWyP0M7F3/NC6oP7IgTqxGIC/VFeQyQq+2ZYdpG90Mu9OpI19YIPhCr+1Rys6QHpM1uSRN3bFz1n3NR0JnBEOgaZtdTEQCp0Vq0etEs5ykU44g4bzx1bKokEEB7/qNidrzHBLWicdoKoTAKbc4ZYQg5UN2oGOsCrIEwfDnAWMkNmgOrY0E5S99tprp3QyDOI4J2XGzkAYlqtKINXbIKcsx4RJoCpbjlNAbhY0h511CPqLcxjnjY6jz5zjMxzoezgjHWLBgjkX6Eq8lTueIeQc+ba7coPdx5MkRfWiv7DvSQBecy68Pw/SsqA5byKirnrRp8T1qiNt0wvsNq/OVWSSAv0RekOZqUPqqha2HfYBOPp1bv21oJn/eXXlGgFVOI6g59ZPcTBpy2Mi9Fl5thZT1n/m6XBVKDfjYGh7nUzbyNOzTtpHK/UKHUwOxiB7TpSA1AK1cCKQMRQdrmMlPfRBkBm7g1LtIyZrfOFclv9ltGqb9IHYpj13HEJ6jBVsbTfbbQezFfyX1LTLfDt2QzzxxBP+P2mbn1XkI9Vdr7qhfFm+Xx3lRq9M37H7cMW5SBeMVnxtKzftY+W2beFVttKm0krwl1evFJmEdHLyIS9txraqq9HYB21v46G1B/U1kEVKP8w1bC1vx1XW+MI9jNnd8J0gRo/A2X7H2WZhbQtLlW1fDGy2Csi9JkyMgm/dZbaC83akpo3h0GC2FYJBNAyYGBA3bNjgB1hLOx6s461lFgDQYLwPVxJCJcAhoIOy+zDsKisWRVB/K2+ctikk52kLFJjXVm4DY0C5LA2TKQ4fcrOVEo5Uw4nliWyYyapj1Y2Ong4ylB96Q/BWtl2bclEn0y/K9eSTT3rdqHOlPg9rL2Rq315qMuXgtcm6TpmVQTsxkWQ6Yod1eEWYbQI6zkH7WLAY14vBIwwYaBNs3vSMYJPVa84btC+TJbRTlZVNs007AAc31fbY2hj2OWBlD+0e2ZlOmcwIKHEsw6188eBQV70YjFO/lTxsD9o77hfCtG3LaaiDcZ8DqQFgGQxwDH6kix4xiKeuaqEv2IvpEXqW9WUorUCbUS7amfa2usd9aSuUtQcw4VM02Uq7Y3PoW7i7qYzYNnGWedwitL084vGFMZ82s3GzLO0yPYO+sI+yehVB+oy/4XhK38pYmCLTMkIfxH4mD72AuNyxHsXtkTW+5Plf0I5tki7lwD+x/CkLZQLGCsoS2laKvA303uyeNKiD1Ssl7TzfjvZkezarztThmWee8SvOFlyQR5GP1G69iijyJVLh81m+XzvlRs+ZgDeZMInOIxhGmS5AXnuEOox+29iaV25sL9wJ1w5xnxKnndIeefXKkgkHeUJZ3kWUyaydtMvAPphUtP6EMYB6pqQd9mcc+IX0o2bXYb0s7XB84X76rm5abYYzplw26Z0dm9c13jp39Dtvuqmf+GTjnRCi26DTIqBggOlvUHaC2G782ap2GKj1YmBj1ZfvEuimgauI/mwfOEB1BmndwkC1Dxw7JmtZZQ+DVyGEEP2bc4YMdjsf/GzjnXPfeestd8XsG3r/GWchxOmHzYgONOd5oNZL9C428z7QgmbZhxBCiIGEVpyF6GewesN2HeDZPDmkom7YHsW2KrZPspWzPwVzsg/RaZjo4NEG+44VtjJqxVkIIQYOeSvOCpyFEEIIIYQQQojvoa3aQgghhBBCCCFECyhwFkIIIYQQQgghClDgLIQQQgghhBBCFKDAWQghhBBCCCGEKECBsxBCCCGEEEIIUYAC54hbbrnF/+4kvz/ZTdjvfK5bt85dcskljbPdAeWhXMiNg5+D6Q3Ix/Kk3Xob8t+0aZP/6Z7eJKx3N+qD6P+g0+g2OtYXOm5Y31KlP5Z9iE5j47HpWTv+ArZ13333+TSNbh7vOwH1RQZ91c/0NX3lS/QlNsZQ926jW9ujm2V2OtEjcD7zzDNPCYLsqBKY0LjxQNAtoHB9EWR1klacyzpZsGCB/79s2TI3d+5c//uWqVhHUNVBoK5Dhw71ea5fv95NmDChkr6ZY2L63d86op07d3pZL168uMdv1LY6+RPLhNcmU9Mxu5Y3qHRi4ikuF0cVfYnvz7N/dIDrcdmtThyhTOqiVZlZee0I2yS+ZkecR/i50Ab4zeb58+e7lStXumPHjjXO9h/y7IP6W31bdYzMFuL7y/SsjryLID3SbTV9uz+0rTK7D/PkqGKXqbRqH3F7xLZbZtdF15966im3cOFCP/7wW+HdBG3Srf5XJ6H/im1uoGP2WdU2eoOB2h6no561M3aV9cNg40jog0A8vnDEn+kLegTOb7/9tnc2bEAwB2TVqlWNTwxsqCf1vf/++xtnugMbqLMCpb5m5MiRbt++fS2Va9KkSe7pp592x48frzTQjx492h05cqSZ51lnnZXssJEPwf3evXt9WxMcjBo1qnJnSBoEFwQZ3YANoueee27lYId7lyxZ4rZu3eplwnHw4EGvc4Cc0T27tmXLFjdv3rxmm7WTdwpHjx717WT5p9qB1Sts64kTJ/ZwNHg/fPhw9/rrrzfOnITzfN7yRiakl6prRdQhs0ceeaQpk1AX0U07z8HkEnm8+uqr/rrlDfaZKhNe/RF09aqrrmq25a5du07R4VRsojBss1jPkPeUKVOaeoYDMGPGDH++nbzzIJ/rrrvObdiwwadftV+i/JRx//79jTMnKbN7m2Cx6/TJS5cu9dfapR37sPbI689iu6bdQrvupN2n0M3jvaifbvMlegPrO7px3OnW9ugLmbUzdpX1w4DfTR4vv/xy48ypcN4W5Ti6QV8qb9VGWAxmDCw2E8B7BMQ1ZhMWLVrkzjvvPLdixQp/PZyh4HN8Pmv2wK6RNufje4Frdi8H70OsDHbdykbj8H78+PHuyiuvbF63/MP74jwNK1P8GdK/9957fVksjaxZlSKsfHaE9QqvxbMtvF+9erW74IIL3KxZs5qfC4PAUGZ5dcuDz3KP3R/nT91Z+W0F7h03bpwPur/1rW/5IDqVPXv2+GCXumHEGGNqJzdz5kwfiG3cuNG/x0nBsHGUUtoslElWO+fpYAjtU7UtysCh37Fjh9u8eXPjTDoEjYMGDWoGVnDo0KHGq57wuRMnTjTetZd3J5k+fbobMmSId/iBtsZJnjx5sn8PtBcDw1e/+lU/gWPQZgRafJ77YPv27T69KradR2/KDNsKbQS5EOR0ahAK+6yqfWVoP9a31QFtSCBibUkfArFtFkE96Cdot5BYz5AzQajp2bRp006Rv32O4LpdKP/UqVN90JzaB8bYZMBzzz3n/+cR231MUZ9RlU71Z1l2TXvweXSv03YP4ZiMv8TEr1E03kNoHxxV/C/Is03uN//Lxrd47OI15+z+2HbDtONrKVx66aW5eeelbeezfDsrL3UK4d5wa3jYHrG8IC9v/pfJrAjysftieZFGUV+Z4vsVtQf3cz38TCgnPmv5cmT5flm6YOnl+drAazsfltcIy8QRlsvKHKYRXi+Dz4Zph/kXtYeVqahesczCtKEo7zLKZJaSNmnE9SqjnbGrzK9E3kyMMi6HvlcdUMc82zTbuv322/155GLyTdGllp5xZgDB0bz77rv9jCzvcRwYZJhJYGaClRubrQ1nbpiNxmHjPLMIBF1xA9MJIFw+g/NBwwGCGDt2bHPmgdUWymFKwH8cQQY8+4zN2NpK8gsvvNBcRecwx9HKTpmzZrcpo20N5r541gXlICBjkOczBGa8TwHlYauxyYsjXPG2slPuGMpvuwPC1SfbIUDa4WwRSp86W8Rn+Cz3cC/ls5VZrmGA1nFbR5I16ORBGsgNWR44cMAH0akDDvqEMaMrBL1VAoCsFXIz7JT8yRudRqZZTiR6lKWDnYY2b3WnBPp/+PDhpm7QhnSMu3fvbnziVAjE+Lw5lu3k3WmwRcpqoGvYsrU17YUuPfbYY/69YZ2+BVhmD4MHD3YjRozw59qht2RGuelfcP4NAjoGqnCQTxkwUkB33nzzzab+Y9+cM3kX9ZV8Jly5tb6tG6Bs1IOyUacQdsCgQ2YP9JE4WOgZfSP/zZasjugR97UL7Uv6H/7wh5ttWdV5ZzKAfo12KyK2+xDyow/P6zOq0un+jH7A4LPYA3bdabunLOGYHI8j1JvzWeM95I0v1LnM/yLvItvM8+2Azyxfvrzpv3GQn+kC/UfRKn4ZTB4wAUTe2D3YhE5R2iavLN8OuVDeIjuL2yP2kcrqVSSzMsp8iaK+ssz3S2kP+ib8Ia4jOyaM7Prs2bN9MME10rCFCuAzebpQ1B4Gr+0zMXG5qRt1pp0Mym0xQlzuImjTq6++utnWHCYvKGqPsnqRP/I126T81MNkVpZ3GUUyazftPKhTO2NXWT+MvG+77Tb/uhMU2Sa2RR2wrTFjxnh9ol3DRZU8WgqcUSgyQygcOAwpQkRwNALOGtCpMaMcB0wohjU6AuYerpMXlTfo9CmL3YtxhSuJdUG5MQDKagEQeZBXOOtCh4si8BkCMzqkVFDElBmcquDoYMg2cG7btq1HufMweXIPIH+CVNoLY6CjtI7bOpJwkC4jdMJoSxQZWadAh46Dg4OA7qEDNrtUBJ9DnzpN2SQA+l1FVr0BHTPty0qFbfsMHVfaxgIt9CcMxDoNHV7eCkoR6FXYWVIHOlKDdNAj65OywDbRLfJHPvRPKf1db5C30hCCHWNnpmtmA/w3xyjLOWkV8mFCzSAAwbaRs5HXV1o71d2Hx1B36hrOpJeRUjb6H9oC+2eMpN7Dhg1rXD3ZbyEb6kyfWWWMyINgjhXGN954w7elBR2pW6aZmA7HiJgyu7c6W5vbeNHX5PVnpnOhs02AFu9s6JTdl8k7hbLxJY8y2yzy7dB/+tK8vhKHEzlxH2DjVcb0MG9rI6tnO2mHOw3MRzDZkU+Zj1SWd6v+cCqt+pUpMsN3W7NmjX8d6wK+tt0b16tMF1qFdol3e2CzLKDRTkYYI2SNL0UwQROmVRfIlcm3cCcj9QgDsU7lDSlp0yeGk11VaHXsKvMry7jwwgt9vowx6FtqfwJltklMx0IpB/aRSkuBc6tgFDgR5gBz4PjFhLPCCDhcsaPx7F7SYXAzaEhmwOyzdUIDhNsN6oROkUYzJ7jKakEZyCTcVoICVtn62Cl5Uj8GRWtrlBrnPqVTsWCHDv+hhx7ykxp05HSeqW1Uh8Oahw1EZuxlwXy3gG0xaOF4o49s+QuDMdqIThfnnBk8ZhF7o25hvhyUjQ44JcjjXjptsy068SeffNLrNZDG448/7j+XBYMR9aSDJW+cKoLOcLWqr6AuJhOb3Y6DZwYZzod9qhE6VdTrtddeq2VFDdumD7M+J96K2g1YUGm2WgZyZEbfHNgsWGE2+2HMet/73ucdKeQK6KCtkuD00QeZU98uOMDmsFE+9NUmR4rAfvlc0WRAmd0zRpseku9dd91VybnpFEX9mdXX+uizzz7bvfjii83xo5vtvp3xpR3bxOEkoGScjiFd5BNO5MX+WVVM1hdddFFbaZMOtoZO0u+ff/75/jyvqUuRj9SJevUGqeUmCLL+jL7thhtuaI4J6JXdy0H/ZhTpQh10ys6oG4EUkyLUqWogVgRj58UXX9y0Sw70yuhk3p1MG9oZu8r8yiLQSRaYbHxhIgK/p6/Hl14NnIHIHifPBMGRupUVYbNdxO7nf7itui4nJAsGl9CpJHBjxq0uQueDDp1tMGVOTyrhthI7Umd86HzDctQ1k4riM4kSdux0zCkz6bQDDqmtollgxDnr9PNAzxgs4nqRJgNB2f0pkAc6jZzZOsNKXm8EmO1AAIltWWCAfrAKSdCV1Ukhp7pn1lNhFTnrcYo8QtsiAPi+7/s+31fEOmgOE+9xLpmIQSewH7MX7L7KBE1vYe0RE+8aAdqXPqZTbWdBKQOl2QATj90CAzm6vnbt2qRxB3BIWNVl0EdXcELtPenh6KGTYZrIFzmjP/wPV0nMsa3DQUQXq6y4hLAags6bs4fu2/usPqvM7uNdYH1FWX/GOeujOR5++GEvQ84zrnSz3Ydlrzq+tGObKboabhnmaGdXldnPSy+95N+3mrbZB9vAeYYfuyXAwV8wWy3zkeqsV2/SarmxH/QqvJ/+y+hUYGuE/Yv1lXVB/S0YqzsQYwLTbMsO0jc6mXcn0sY+2hm7qvqVZbC7oBt8iY4EzgiIQNO2uhgMunRWOK+tEs5ykU44g4ZQ2ateNIjgMFfd5mTOArMmdl+WQ1oXVScATLnDLSEGK020AwpcFeRJYGFbFFF0FJ5ZeBtwWoVAlZWYsJNhEGcyosygGAjDclUNpLLqxfbdcPa1Lkgvy9CZBKqy5bgu0F+Cwqy848kh9Cm0txDrEJFlKtxDvu3uqMDu40mSonqFIHfsnxWncKDhQBfteTEcU5wpdCK0H+w+zruuemWRmjZ9Hn1f2B5F9kq/EA5etvUOW6oD+iPypMzUIXVVC9sO+wAc/So7ZMqwoJn/YRuGcI0gMhxHGPBNTziYtOUxEfosHBSTm41tJntb6ec/E4OWZpa8U3U4xsZVdBNIh7Eq7M/y0qbsYb3QfXP+wsDB4N4iu+9t+yiSWWp/RlshB+yEciOzFLtvldAHIW9WtlPtIyZrfOFclv9ltGqb6Co6a88dh5jMGEfNdtshtJ/UtMt8O3YVPPHEE/4/aZufVeQj1V2vuqF8Wb5fHeVGr2yiiH4rXHEu0gWjFV/byp01NrFaWTetTADk1StFJiGdnHzIS5uxrepqdLtjV2o/XIb1V9xXRz/cDj0CZ/sdZ1t9sS0sqUvrQKXC7ZEmTIzizjvv9LMVnLcjNW0Mhwaz2XEGsjBgwhFm/zyDnKUdD9bxFi0UCVAK3ocrCaESMLDSQdl9GHaVFYsiqL+VN07bFJLztAUKzGsrt4Ex4NBYGiZTnB/bHmHXUg0nlieyYSYry6GqCsZDBxnKD73BoMq2a1Mu6mT6RbnYfotupKzUZ91PvWxGrQxrL2SKrnC/yZSD11yvW2ZlhDrMhJLVzzq8ImKZcGCn2CttFNeLrdJsDeI+SMmb9mWyhHaqsjpmadsBqbtUQvvhYItR6r2ATjBAmP0wYJpMjHbr1Up7xe2Bg8Q2WmsPIIjLm9xDH9FL8rb7i4LJKvAMLEE86dJfMoinzhJTfspl8sZJCVc62oG+nHIha6s3R9yXtgJyIx3rg0mfMdDsnv8EpdbGWfJGp+gTY0ejDO5jvGDcIG1kTjqp/VkRqXZvR7fYR1l/Fpb71ltv9XUK++gUu2+V0Achb/QEO4Wy8T5lfEHeWf4XtGObpuOmZxyUhTIBMgv7FI7Y/yoCvTd5x/aTknaeb0ebsT2bVWfq8Mwzz/gVZwsuyKPIR2q3XkUU+RKp8Pks36+dcmM/LBaZTJiI41EGo0wXIK89Qh1Gv+MYIy43/if2SZ7tEvdXcdop7ZFXryyZcFh/VZZ3EWUyayftMlLGrjzK+uG4XnF/Z+3BgbwZ14jF+pozplw26Z0dm9c13jp39Dtvuqmf+GTjnRADFwYQAu26nMzegk6FgKI/ldmg7GHHOVAYqPViYGPVl+8SsGCp2+nP9oEDhNPDhGV/kXcKA9U+bAxhtToMXoUQQvRvzhky2O188LONd85956233BWzb+j9Z5yF6BZw4HBO2aZls1o2gyfqxWZEB5rzPFDrJXoXm3kfaEGz7EMIIcRAQivOQvQzWL1hSwvwPKIcUlE3bO1kWy7bJ9nK2Z+COdmH6DRMdLBlkC3kwFZGrTgLIcTAIW/FWYGzEEIIIYQQQgjxPbRVWwghhBBCCCGEaAEFzkIIIYQQQgghRAEKnIUQQgghhBBCiAIUOAshhBBCCCGEEAUocBZCCCGEEEIIIQpQ4BzB7/jyu5P8/mQ3Yb/zuW7dOnfJJZc0znYHlIdyITcOfg6mNyAfy7Mvfn+Z/Ddt2uR/uqc3Cevdjfog+j/oNLqNjvWFjhvWt1Tpj2UfotPYeGx61o6/gG3dd999Pk2jm8f7TkB9kUFf9TN9TV/5En2JjTHUvdvo1vboZpmdTvQInM8888xTgiA7qgQmNG48EHQLKFxfBFmdpBXnsk4WLFjg/y9btszNnTvX/75lGbHjwVGlM6CuQ4cO9XmuX7/eTZgwIVnfrPMJ8+5vOrFz504v68WLFzd/ozauV1WnC/mHMon1Kb4eDyx8Pu9aO2TpSpW6xXKJ62WTZRzkE+tR2fV2CGVatb2K2jtFF4ry5jeb58+f71auXOmOHTvWONt/yLIPaFdHi2ykzD4g1KWq7V1ESt55FNXJMH3iszFhnTjq6ktTdLgIPss9dn9Z2cP0Qz3Juvepp55yCxcu9OMPvxXeTSC3bvW/OgltVJfu9RdMx7Nstq8ZqO1xOupZO+Nm2MfakaWvlkdWP216XjXvTtEjcH777be9s2EDgjkgq1atanxiYEM9qe/999/fONMd2EAdO4LdwMiRI92+fftaKtcjjzzi5Y2DPmrUqOQBYPTo0e7IkSPNPM8666xKTtWJEyd8wG15T5w4sXJnyAQBwQVBRjdgwQ514kA+S5cubVwth/rYvchmxowZPTopay+OsO58js+bTHft2uXmzZtXm/N29OhR306Wd6odoBMf+9jH3IYNG/x9lH/mzJnNeqFvtL2lvXfvXrdkyZJTHOjw+sGDB0+53g6m66RLfwup7YVc58yZ06yX3W+TWGW6gK7bxFPW9YEIMrvqqquabVlVR61/MJmiS+h8eH+efQAOwbhx45oyr7svL8q7iDK7p968f/nllxtn3gUdDuvE/dhL3G+0Qrv9GZ/lHu6lzRlfwj6+qD0Y/y1frmMrVceHdujm8V7UT7f5Er2B2XfKQktv063t0Rcyq8O3szjSjji+Iq2rr77avfjii40zp2J+TbdM4r+38T8ZKojjuGPHDu+AErAQYN95551u+PDhvkEHDx7sP7tixQr/nyAFB49Gx+Fcvny5u+CCC/y1F154oakEdo20J0+e7MaPH3/KvcBAPWvWLP8acBbCRqB8YRmsbAj+yiuv9OdIl5kNsPzD++I8DQZa7oW4TjfffLN78sknvYKRBg3M5xkAU2BQtvJBWK/wWigvCMuEXEw2KKpNdoQyy6tbHhjNdddd59sZ4vypO07FoUOHGmdaAzkRlBAQp7Bnzx5vvNQNmXNvap1iyJuACSeK+pQ5KqFMsto5TwfDdGnTKVOmVGqLqtAmTGq0AmVFV1KZNm3aKW2wZcsW70BTx1Qb6ATU48Ybb2y8c77TR19GjBjh25pAira3MlJuHG7aEOLr27dvbw4a7Tq0Yb9FWkw+peognwH7HP8JEvIIdYGy0zZbt25t3k+9CMS5Vkd7hX1W1b4ytp+6IH0CEYM+BDlQppQ6I7+wn3v11VeTbYQ+Y9CgQT36gW6DsoV1otznnnuulxttFBNPYMb310mV/oxyEyhv3rzZv6d9wz4eHUttD64X2VYrxH5M6BAWjfcQ20cV/wvybJN083w7kxGyC/232HbDtKv6QHDppZf6VaWsvPPSDs/Hvt2aNWuaPmXsJ9LPP/TQQ77uZT5SXt4pMiuiyJco6yv5X+b7FbUHr60/s8+EfmesZ1m+X5YuIIe89rD7w7KH5TXCckPsDwN9gaURxwFFxLYX5l/UHkV6ZvWKZRbXrSjvMspklpI2adAvhvUqozd8OyYJDx8+nNnH0ybmrxBcp1Jkm4BtMYZfdtllvg0B+aboUkvPOA8ZMsQb8t133+1ncnk/ffp0L0QEwMzE66+/3pzZD2duwlngvJlcGh8B8pn9+/f7hgMEMXbs2OasBRWkHJy36ygtA6R9xmZsUSDeIyAUyq6bwlvZKTMGE0MZwxWaeNaFQZjGYaDmM6yQ8T4FFIOtxiYvjrDhrOyUO4bykx8KgTzsfjMY0kZGNluE0qfOFvEZPss93BvO2nONbaurV6/2HScdCh1Jq1spSI+BH2c2BfQJY0ZXMChrx96AvNFpZJrlJKJHWTrYmzCo4STu3r27caYadIrHjx9P6hjJC9uwvHhPh8XgkToR0pccOHCg8cr5zpt6E1ijj9i16aTZA/Xiel9Cu1BO5Iy8GTTHjBmTaT9ZuoDeMmgYoWPcLtj/m2++2dR/+krOWdpFfaXpjtmP9W3dAPKjn0PWlJM6oS8pNjJp0iT/H0eTfpIjHve6gdju6etuu+02/zoL9A29s7rQ96X2G1XI0uEisE/0yspBm9F2+CrYdZX2qDo2lRGPyfE4UjTeQ974Ql3L/K8y28zz7YDPIC/z3zjIL5QxDq7lSxmtf0oBx3bq1Kk+b+webKWpKO0i3w65UN6icShuj9hHKqtXkczKKPMlivrKMt8vpT2wCQIVriM7Jort+uzZs32AxTXSCHcE8pk8XShqD4PX9pmYuNzUjTrTTgblthghLncRtCnBl7U1h8kLitqjrF7kH45dlJ96mMzK8i6jSGbtpp0Hdeq0b4d80C3iiRjyo92RKX1VVYpsE9uiDtgWYxj6RLuyaFtGS4EzCkVmGAlH6kohjUsjmIDo1JgNsFlgA8WwRqfBuIfr5EXlDQRJWexejIuOZePGjf59XVBuDICymoNJHuSFo2HQ4WJ4fIbVo9TZcUARw7TqAgcBpbOBc9u2bT3KnYfJk3sA+ROk0l44jHSU1nFbRxIO0ikQ+OK0MDv+7LPPJt9Lh44zg4OA7qEDrT7rg2Eij7B92yXW6Rj0u6qsUqD+yJMJDbC2S8FkyP20S5Y8rL3yHE3ahbzRf3Siig0UQYeHjpBvO8+5oLOm02an4aCLo2Yz6Aa2iVzIH/2nf6pr0DCq6iCfwWGm/MjbBodQn/J0ATvGfm1CEpAL9awDymB5AgEHgxT2auT1lTao1d2Hx9DeyLzKThUmMxl/kLXpeOgMQp59UL8LL7zQ50U/iYNDe7fSX+VRZpt5pNh9HtSHmXv6O+6HOicK2+nPANumv6DNeO7X/IWU9kCG5I3dYy+pelIGdheOya1QNr7kQZ5Ftlnk22Gb9MNZDi7gcNI/ch9g46SN/5RCmLf1C1bPdtK2VVXTc9rYZEc+ZT5SWd6t+sOptOpXpsgM341VeYh1gb7O7o3rVaYLrUK7xLu86HdZQLPJLghjhKzxpQgmaMK06gK5MmloYxflpx5hINapvCElbcarcLKrCu34drawxkE6hrV3qKch7foDZbbJWMdCKQf2kUqvfqs2Qho2bFjTAeZgoI4JZ5UxmnAgRuh2L+mEzh4NyQxYXYN2CA0QrtDUCZ0ijWaOD527deztgkxCpUXx48CgiE7J07CZUgJwBsnQqPLA4aWTpMNnqxWTGhgYnWdqG9HJLFq0yMuE/8i/bHtGKjYQIWvSr9M5LoM6IE8OOoW77ror2XGhnbE1aw86tNABtxlPDptNDa+jvzYLzKCG7pnT0g50eHT2ljdtxXaqqsEzZWVmc+3atU2dtg7Z2urss8/2z9mYHqEnrD4gS/LGqWIiL1ylbhfahzyYCEzVQfoH+glkTLkYoOkPQ10r0gUcHmRh/QKOyWuvvVaLrVvZLG3sCzl2E/asrNlqCsj21ltv9QOx6X/YV5fZB+1rzjn/kXldDnZZ3kWU2X0R2OCnP/1pr1/caxPjqX1OGe30Z4xz1157rZ9Qov8444wz/HnT8bL2oA+zvOnH6hyX26Gd8aUd20Q2BJRMIsSQLm0fTt7E/llVrI+96KKL2kqbdOgn0Rv8mfPPP9+f5zV1KfKROlGv3iC13ARBZg/YwA033NAMYNAru5fDtglDkS7UQZ3jawh1o/9mUoQ61dlXscvl4osvbtolB3pldDLvTqYN7fh2YT9qY4T5+SxUYIdZfg/lZxUdvazDL6mTXg2cgciegd0EyZE6Q22Or93P/3BbdR1Oeh4MLuH2TAI3ZtzqInQQUCS2wdQ1SIfbSuxIddBR8rAcdTl6MbQ/jlGcXxa0AzN7tgrAbBWGXWWLIBMh4baWVHmkQF3MESUPVu57M3g24h0ZVaAORbPbyJnZO+Cz6Gw4C2wDdycGQOqV9ThFEfQdDCo2+2iEbcXx8MMP+wkYzqNfOAfYj+kHdl9lgqYMBgeCHmRpskshnvHnXspJ0JPV3rEuIINwMuL5559v2lS7WFDKIGk2QN7dAoN2PIFSBnJDthZsIT/SoQ1sVjwktA9gbMqzpbqJ865Cmd3HsHpKwIl9cC/Pj2Eztp20Tqr0Z9gnfURo7+G4UbU9qq5qdZKwz6o6vrRjmyl9ebhlmKOdXVX4GowrL730kn/fatroAm3HNvDnnnvOnXfeeT7AQRfM/st8pDrr1Zu0Wm4mxNCr8P5wi3CnAlsj9DPNl6gL6o8cqBMTzoy/dQWZrOCbbdlB+kYn8+5E2thHnb6djS9AOiyW2fPiNtHAe3YJ8Z0r2KotcDHxY+9TFtg6SUcCZ4RDoGlbXQwGMDorHLZWCWe5SCecQWNwY6960SDCgFl1m5M5IqFTGm9jrpOqEwCm3OGWEIPVe9qh6uocIE92CJhjiBGykkGAawNOXSBX5BvOgObBQBiWq5VAqregLlmOCYFcO1uOU0BH48kE5MyKQ1ne1tZ5zxRiY+EztXyODs9szwI72sYgP/Jtd+UGu69SLwuay76IjToz2KDfpE3boY+h/WTJtNV6WX70LeHgGlKUNn2sneM//Rr9QJb9ZJXbIA9WvL/0pS/VZtdWDspF+qmrWtg2emMDPo5+lR0yZVjQzP8sWQDXGKizxpEw2EIvqFfWJEpsH/wnX9Mj/vPergOySrHNMuK8ITXtMrvPIpzs5H765tCpIr9W7COmSn/GZxifOcdnOMLxJaU9QpggwO/I05kqhD4I8sL2Uu0jhrrE4wvnsvwvo1XbpC/HNu254xDSQ7ZsiTfbbYdQD1PTLvPt2E30xBNP+P+kbX5WkY9Ud73qhvJl+X51lBu9sr6NPiVccS7SBaMVX9vKTftYuc2XqLKVNpVWgr+8eqXIJKSTkw95aTO2VV2NTvHtkEXK+MI1bM3sOly04GACiyCdCYDbb7/9lGsslPJoJpN9ef5Sb9HjW7Xtd5zNWeE/TgQVSl0RYXCxVUAODNCcVmak7Qs5jNS0MRwExlYIeOaZZ04JmMwpZhsn+QIzQOE3HLI1k/wtDRqJNFEKuweY1SAdKzefQensPvLlPelW6RiywLEPt3TEaVPe0HlEdlZuA2PgvcnVZGqzptSHAyz9MicgS56kW+fqrOkIhLNaRVAuVg/Ce7/85S/7GWVklfqNlq0StxczYSZToB3CCZ26ZZZHrMOx7heRpWfMNlu56WjDelFftkCaDtnnrE2ydIzXdJx0uqzcpLZRXC/0hA43BcrNIIxzGNqAyYZBwNIO+ykDfaS97d4smbZaLwIB5GkzrkYo9zy4zqx8WKewTyjThVCHU/uDVPiGbvoMq9PXv/51/6WOKSB7ntOyemE7dUEbEVCiC9isEfelWSA3VqjDPjbUlzL7sD7L6pWla+SB00i7hLubyijLu4iqdg/h+MO24XA8hVh/67L7Kv0Zn+GzYdlCP6OsPeI+PkVHUgl9EPLFryGoh7LxPqs94vEFeef5X+3YJunST5C/3R/2HdZXhrZVpc3iPjrUo5S083w7rrM92yZdcNyRC99WDZZHmHdqvdol1rPQl0jd/ZPn+7XTHugKk0UmE+4LfyqoTBcgrz1iHbbxL6/cpr+WbjvEfUqcdlF7lNUrSyZgelyWdxFlMmsn7TLMPkifI5ZHEXF/FvZF/Zkzplw26Z0dm9c13jp39Dtvuqmf+GTjnRCi26DTYtaTDrO/QdlZoUp1pvoLA7VeDNis+trPtvQH+rN94AAxoTIQnIuQgWof5hiySyUMXoUQQvRvzhky2O188LONd85956233BWzb+j9Z5yFEKcfBATMkA4053mg1kv0LkxQsHI00IJm2YcQQoiBhFachehnsHpjzxtV2QonRCpsrWVLJ9sn+9v2KtmH6DTx1smUxyuEEEL0H/JWnBU4CyGEEEIIIYQQ30NbtYUQQgghhBBCiBZQ4CyEEEIIIYQQQhSgwFkIIYQQQgghhChAgbMQQgghhBBCCFGAAmchhBBCCCGEEKIABc4Rt9xyi//dSX5/spuw3/lct26du+SSSxpnuwPKQ7mQGwc/B9MbkI/lSbv1NuS/adMm/9M9vUlY727UB9H/QafRbXSsL3TcsL6lSn8s+xCdxsZj07N2/AVs67777vNpGt083ncC6osM+qqf6Wv6ypfoS2yMoe7dRre2RzfL7HSiR+B85plnnhIE2VElMKFx44GgW0Dh+iLI6iStOJd1smDBAv9/2bJlbu7cuf73LcuIHQ+OKp0BdR06dKjPc/369W7ChAmV9C3Ov791RDt37vSyXrx4cfM3aq1TtTpVdbpMj4pkEuaRN7BwH9fr1keb1OJoxaG0smfdWzRhZvVpNd8yivIuIm7vrPvzZFbW1vxm8/z5893KlSvdsWPHGmf7D1n2AcjI6pynv2WE+hDLzdokPg9hW9D31D0+hvpQpW5huewIdSlFZnl61i7t2F6ZjpelHV7nCGXy1FNPuYULF/rxh98K7yZon271vzoJ7YUenk6Yjmf1/X3NQG2P01HP6hg3bXzK6mvtWpx+mC8Hsu8GegTOb7/9tnc2bEAwB2TVqlWNTwxsqCf1vf/++xtnugMbqGNHsBsYOXKk27dvX0vleuSRR7y8cdBHjRqVPACMHj3aHTlypJnnWWedlexU4VAQ3O/du/eUvKt2hqRBcEGQ0Q1YsEOdOJDP0qVLG1fL4bPckycT2ua6665zGzZs8J/JqjufGT58uHv99dcbZ+qBDnPcuHHNyZmqdoBu0Bnv37+/ceYk5nice+65mQEi9bcJmlZkWkRZ3kWgw/PmzXNbtmzx5WLyaMaMGacMaEUyY7ILm+V8q/rf30BmV111la8v9d61a5eXYWqAYe0F3M8RThIiP+T/8ssvN868C3YxceLEZt70PUuWLEnus8pIsc0ibJy3w8a/FJm1a5t52FhAmqQNdfVnZWnb57jOwTiFfaXqSrt083gv6qfbfInewPyVlIWW3qZb26MvZMaYRt+Hj0FfWHXchDz/C4rGLsYh64Ppp/HFusFPeW/jfzIIiwF/x44dbubMmT5gIcC+8847vcNMgw4ePNh/dsWKFf7/iRMnvFAQBgJcvny5u+CCC/y1F154oakEdo20J0+e7MaPH3/KvYCQZ82a5V8DA1oY5FK+sAxWNhzFK6+80p8jXWYvwPIP74vzNHAQuBfiOt18883uySef9ApGGjjCfJ4BMAWUwcoHYb3Ca6G8ICwTcjHZ4AjZZEcos7y65YGyo9S0M8T5U3eU+dChQ40zrYGcDh486APiFPbs2eONl7ohc+5NrRN6e/ToUbdx40b/nry3bt3adIzK2iyUSVY75+lg6ADRplOmTKnUFlWhTZjUSIE64Vhu3rzZv6c+OPc4xLQxTJ06tbC81BsZfuUrX3FXXHFF42z7ULZBgwb1kGEVbFfEc889d0rZOE9/w2AQ6jVQH4IddMPy3b59u5szZ06SnpRRlHcZpsPbtm3z72mTadOmuUmTJvnXZTILJ0KpB/aTqisphH1W1b4ytp+6IH0CEYM+hPalTCltOX36dB+IZbUV8mYChPSpSwjpE3xiT5YPEx4EatS13cCI9Mtss1XKZFaHbeYRjuukzUSP9UdleZX1Z2VpYwvhmPbqq696Pa6L2I8JJ86KxnuI7aOK/wV5tkm6eb6dyRv5hP5bbLth2lV9ILj00kv9ilNW3nlph+dj327NmjVNnzL2E7G/hx56yNe9zEfKyztFZkWgp3m+BLIu6iv5X+b7FbUHr03H7TOh3xnrWZbvl6ULyCGvPez+sOxheY2w3BD7w4CNWhpxHFBEbHth/kXtUaRnVq9YZnHdivIuo0xmKWmTBv1iWK8y8CtC/5qxizEA/zU1jTz/Cx1KHbuwJ8bfVIpsE7At+vXLLrvMtyEg3xRdaukZ5yFDhnhDvvvuu/1MLu9xKhAis6TMTLDiZLPU4QxCOAucN4NA42PQfIYZChoOEMTYsWObMxBU0IIdu47S2koih83YokC8R0AolF03hbeyU2YMJoYyhitP8awLzgONw0DNZ3BqeZ8CxspWY5MXR9hwVnbKHUP5yQ+FQB52vxkMaSMjmy1C6VNni/gMn7VVrXDWnmtsN1y9erXvOOlQ6Eha3cZBegz8OGYpoE8YM7pCYGPtmELWCjkGBBhyGeSNTiPTLGcKPcrSwd6EeuAI7t69u3GmmBEjRnidtY6QTpg2xbZpF9oH/f/whz/s25kj3nJDvWmTxx57rHGmHggGgUHa8o77jCLQRzp62u3NN99snD0JdlLUSdK+phtg7ZiiJ2WU5V0G/WioV+FESbsyawfkjZxN/+krOWcyK+or+QyDndmP9W3dAJO5x48fP+URD+wE0K3bbrvNv87jwIEDjVfOHT582KeF3bVLim12ir7UsyLK+rMy6Df5PPchR/SXNkt1FIsgrXBMjseRovEe8saXFP+rzDbzfDvgM7Sz+W8c5BfKmH7W8qWM2HKqHuLY4kSTN3YP5nAXpW3yyvLtkAvlLZqQj9sj9pHK6lUkszLKfImivrLM90tpD3ScMYPryI4JPrs+e/ZsH2BxjTTw/UgT+EyeLhS1h8Fr+0xMXG7qRp1pJ4NyW4wQl7sI2vTqq69utjWHyQuK2qOsXuQfjl2Un3qYzMryLqNIZu2mnQd1YmwxP9LqyMRA6iIX7YYcsvyvKmMXn60SI0CRbWJb1AHbGjNmjNcn2pVxvoyWAmcUiswwEg6c5RQhmpBwPIBOjdmAcFULUAxrdBqMe7hOXlTeoNOnLHYvxkXHYiuJdUG5aXjKao4qeZAXsy4GHS7KwWcIzMyJTQFFDNOqCxwbDNkGTlao4nLnYfK0VS3kT5BKe+FE0FFax20dSThIp0Dgi7EwO/7ss88m30uHjhHhIKB76AAGZ51UHnwOfeo0sU7HoN9VZZUC9UeeTGiAtV0qDEBMftDZ8Jyc2ReO6HnnnefeeOMN387m2Nj2RjpH2sNsu06wowsvvNDLirwZHNDfsrY2mHgLbSAV9B09t4k7QOdtNrkvYfDAkTFngv+hTVeRGecYOFhNrwPyNP0DysogFQYseX2lDWp19+Ex6DQyC2fSi7B+g//mTGY5dFlYHUPnjoDAVmrapcw2U8ARNceF+mWRJbN2bTMV0+9wDE4hrz8LyUqbCS18De5Dl2m/0PFvh1b7o5Cy8SUP8iyyzSLfDtvE8czr43E48Q+4D7Bx0sZ/SiHM22zG6tlO2raqSjrmI5jsyKfMRyrLu0hmddCqX5kiM3w3VuUh1gX03+6N61WmC61Cu2CztIfljS2ygGaTdBDGCFnjSxFM0IRp1QVyZTI03MlIPcJArFN5Q0ra9GHhZFcVGBesL8TfT9XDov4uZexiItZiBPyxKv1mmW3S57NQyoF9pNKr36qNUQwbNswLwAbpcGuBEa6SYTThih2NZ/eSTujE0pDxKkxd0ADhylOdoAg0mgWRda4WIJPQKULxqzhsnZKnYTOlGAyDZJ7TFoKjQydJh89WKyY16MjpPFPbKNXoW8EGImSNzOt2IovAXpAnB53CXXfdley4oBfXXnutn52jcz3jjDP8eWt/BlkbFDhH+gQT6Bdt8vjjj7fUIafAJJl1mPxnIE1xTpA9ZWw1EMMxIEA1+yHf1157raM2kQIyYDBatGiRLxfyf/rpp5tOIqTIjPsI/sw5qwNzUE1mlJFBvZuwgdlsNZXQEcXBRhdSVo1N/6xPOPvss92LL75Y25iSZ5sp4wgOqPUZ9MPcl9UP58msVdtMhf6LFUDyqbJDo6w/g7y06TduvfVW73TZylGd43I7tDO+tGObtCkBJc5rDOmiN+bDcMT+WVVsh8ZFF13UVtqkw3hPW+PPnH/++f48r6lLkY/UiXr1BqnlJggye8B2b7jhhmb/hl7ZvRy2TRiKdKEOwt05dULdsGkmRagT43uqf1QG48DFF1/ctEsO9MroZN6dTBvQI1vhZ7zAZkJfI48U/6ts7ArHJ/Lshn64VwNnILJnIDJBcKRuZWXmASfW7ud/uK06pSFbhcEldJAI3Jhxq4sw4KFDZxtMXcoRbiuxI9UBCRUY6nSIQqo4e7QDM3s2+4Qzi2Fzzjr9PMiHwSLOhzQZCMruT4E80GnkzAoMgUkV56YucAaZ8EnRIxx4bMlm5yCUM9fzZnU/8IEP+AkxG6TN8eB9HZ0cdt3qRAezvZTFBjPKZO9T2gRZ4HSb3Tz//PNNmfQ14YCCvp1zzjlNhyNFZgTNPM9VNSApwwIsgjCzAfSwWyAoZBxZu3Zt0rgDfI5+udX+L+wTOB5++GFvT6n5F1Fkm1WhPPSPMXkya8c2U8D5Y5WElQJbYUqhrD+DvLTpr1j1sgkB7qf+4Ta/viTUparjSzu2mRLMhFuGOdrZVYWtYXMvvfSSf99q2mYfbAPnGUtWuAhw0AXT5TIfqc569SatltsmVMP7wy3CnQpsjbCfxR7x1+qC+iMH6sTkM31AXUEmQaDZlh3hTpVO5t2JtLEPbDBc4bf2SNGBMv+r6thVdXdBp+hI4IywCTRtq4vBAERnhSPaKuEsF+mEM2gIlS2HRYMIA33VbU6Um8E13GpHp0JZqm6FTaHqBIApd7glxGD1nnagI6wK8iQgMmcBI4y3rNeFOSvhDGgeGFtYLhyccAKljKx6sSUvJe+qkF6WY8IkUKvPg6eCjmJv5jgCciaYjfPmM+gz5/hM3B5mu6QJ4XW+2ME6bA4GDgYQBt1wUoy0ybdqME17xduSec95I69eDB5WLg7KZINb1WCRdFmd+tKXvnSKnrRarxRS07YVQqtTmcx4b0FzlYAkFfojZESZySt1VQvbJkCxAR9Hn4G2LiwA5H9oFyFcY5CPxxH6Uvo/Kxv9B2VFhlXgfvSSfjTFNssosk3T09S0ucZ4Ee76KpJZim1yrhX7MDkx9vI/i7x6Uc6i/iwl7XBCAJmgw+hnu4Q+COWgT0m1jxjqEo8vnMvyv4xWbRM9R9/tueMQ0kO2jKNmH+1AGtgaepiadplvxy6PJ554wv8nbfOzinykuutVN5Qvy/ero9zolek7fWG44lykC0YrvraVO6ufrbKVNpVWJgDy6pUik5BOTj7kpU0fXnU1Gvug7W08zBr3kEVWP0zfWuR/pYxdIWz7Jv6Lx6HepkfgbL/jbKtGtoWlyhd+UClbBeReEyaC4BvNmK3gvB2paWM4NJjNXiDwMGBixgUnnkawtOPBOt4yhyIBSsF7trMwI8kWplAJUAA6KLsPw66yYlGE7eG3I0zbFJLztAUKzGsrtxFvKTWZopzIzbZ0cqQaTixPZMNMVtWAo4hwlRL5pjjxlCvc2k65+OZJdCNlpT7rfuqVGkBYeyFTdIX7TaYcvOZ6mHadMsvDdNgOOvfUb/c02wTagoPOy2TCdXQS3STt+HoK9AtsbaWdqswY0l70J6bDBHysJHG+XUK7ZxLOdMIGidA2cXCxuzjfVutVlncRsZ4xmIcBQJnMGIBwmMMtivGg1yo8K80EJmmiJwziqatalA97sXJTr6wvQ2kF6ka5kDUyt3rHfWke2DBls3txSrmX9g/bgz467qdD27QtwHGfgI1hU7RLuLupjHZsMxxfONAT+nwrW5nMyvQMWrUPxh3yNVnakWIfZf1ZUdomz3A85fMp3/yaQuiDoAvIjyAfysb7lPElz/+CdmyTdCmH6RmHjXuAbEP74Ij9ryLQe9Mj0qAOVq+UtPN8O9qT7dmsVFGHZ555xq84W3BBHkU+Urv1KqLIl0iFz2f5fu2UGz1nUslkQjDDoyVGmS5AXnuEOox+xzFGXG5sL9w50g5hP5yVdkp75NUrSyYc1l+V5V1EmczaSbsM7IOA1/qTcNxrl7Kxy9rDDsib6OxNzphy2aR3dmxe13jr3NHvvOmmfuKTjXdCDFwYQAi0qwaAfQ2dFgFFfyqzQdmZOEsN6PsLA7VeDNis+trPtvQH+rN94ADVGaR1CwPVPmwMYfdAGLwKIYTo35wzZLDb+eBnG++c+85bb7krZt/Q+884C9Et4MDhnLJNy2a0bAZP1IvNiA4053mg1kv0LraiMNCCZtmHEEKIgYRWnIXoZ7B6w3Yd4HkROaSibtjaybZbtk+ylbM/BXOyD9FpmOhgyyDbvYGtjFpxFkKIgUPeirMCZyGEEEIIIYQQ4nskB87H3nzLXTn3U413QgghhBBCCCHE6QGB8xN/8ceNdwWBsxBCCCGEEEIIIZx753t//8cdv68vBxNCCCGEEEIIIbI443t/i+fPVuAshBBCCCGEEELk8fY777gzxo4d+87XvnCfe9/ZZ588+w4X3j75WgghhBBCCCGEOI0484wzWWr2HD9+wi29c83JwPk3f+l6d92sj/kLa//bw27Nn33evxZCCCGEEEIIIU4nfmzqZe7mT/3H7706w61Y86fuqW887/5/H3BWcEll1QUAAAAASUVORK5CYII=" } }, "cell_type": "markdown", "id": "b657d948", "metadata": {}, "source": [ "![image.png](attachment:image.png)" ] }, { "cell_type": "code", "execution_count": 10, "id": "d79d73f0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "New interaction site of A & B is: [1.752, 6.239, 2.643] and [2.223, 6.546, 2.559] distance between new interaction sites is: 0.568 nm\n", "New interaction site of A & P is: [2.096, 5.612, 3.193] and [2.417, 5.159, 3.148] distance between new interaction sites is: 0.557 nm\n", "New interaction site of A & Q is: [1.763, 5.882, 1.539] and [2.468, 6.492, 1.927] distance between new interaction sites is: 1.010 nm\n", "New interaction site of B & P is: [3.350, 5.290, 2.839] and [2.856, 5.318, 3.063] distance between new interaction sites is: 0.544 nm\n", "New interaction site of B & Q is: [3.227, 6.380, 1.937] and [2.457, 6.566, 2.052] distance between new interaction sites is: 0.800 nm\n" ] } ], "source": [ "# Change the sigma between A & Q to 1.01 nm and the sigma between B & Q to 0.80 nm\n", "clathrin.change_sigma(ChangeSigma = True, SiteList = [3,5], NewSigma =[1.01,0.80])" ] }, { "cell_type": "markdown", "id": "2a41e8cf", "metadata": {}, "source": [ "Model visualization after changing sigma." ] }, { "cell_type": "code", "execution_count": 11, "id": "8bba1fad", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "f41f832d9a4b4f6cb093e932c4c9f921", "version_major": 2, "version_minor": 0 }, "image/png": 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", "text/html": [ "\n", "
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\n", " Figure 1\n", "
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\n", " " ], "text/plain": [ "Canvas(toolbar=Toolbar(toolitems=[('Home', 'Reset original view', 'home', 'home'), ('Back', 'Back to previous …" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "clathrin.plot_3D()" ] }, { "cell_type": "markdown", "id": "1607ddf3", "metadata": {}, "source": [ "### 2.5 Calculate Associate Angle" ] }, { "cell_type": "markdown", "id": "58ffc349", "metadata": {}, "source": [ "This function will calculate the 5 associating angles of each pair of interfaces. The default normal vector will be assigned as (0, 0, 1). If this default normal vector happens to be co-linear with the vector connect the COM with an interface, the system will use (0, 1, 0) instead to resolve co-linear issue. The calculated 5 angles will be shown on the screen automatically. If user intends to manually input the normal vector, please refer to function ‘PDB_UI’, the separated function does not support manual inputs." ] }, { "cell_type": "markdown", "id": "a2fbb3d3", "metadata": {}, "source": [ "Note: The change_sigma() function cannot be run after this function is run. If user intends to change the sigma value, please run the change_sigma() function first." ] }, { "cell_type": "code", "execution_count": 12, "id": "6bcf631e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Angles for chain A & B\n", "Theta1: 2.573, Theta2: 2.726, Phi1: -2.280, Phi2: 1.342, Omega: 1.175\n", "Angles for chain A & P\n", "Theta1: 1.717, Theta2: 1.604, Phi1: -1.527, Phi2: -1.649, Omega: -2.999\n", "Angles for chain A & Q\n", "Theta1: 1.701, Theta2: 1.993, Phi1: -3.033, Phi2: 1.563, Omega: 0.341\n", "Angles for chain B & P\n", "Theta1: 2.121, Theta2: 2.924, Phi1: -1.827, Phi2: -0.467, Omega: 1.817\n", "Angles for chain B & Q\n", "Theta1: 2.400, Theta2: 1.132, Phi1: -1.868, Phi2: -0.836, Omega: -1.870\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "clathrin.calc_angle()" ] }, { "cell_type": "markdown", "id": "47121a2b", "metadata": {}, "source": [ "### 2.6 Normalizing COM" ] }, { "cell_type": "markdown", "id": "36866733", "metadata": {}, "source": [ "This function will normalize the COM of each chain as (0, 0, 0). The interface of each chain will be subtracted by the COM coordinates accordingly. Once the calculation is completed, there will be message shown on the screen." ] }, { "cell_type": "code", "execution_count": 13, "id": "08470bc9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "COM is normalized as [0.000, 0.000, 0.000]\n" ] } ], "source": [ "clathrin.norm_COM()" ] }, { "cell_type": "markdown", "id": "1f908c81", "metadata": {}, "source": [ "### 2.7 Writing Files" ] }, { "cell_type": "markdown", "id": "fe494a78", "metadata": {}, "source": [ "This function will write ‘.inp’ and ‘.mol’ files according to all the calculations and modifications above. Multiple ‘.mol’ file and a ‘.inp’ file can be found in the same directory as the Jupyter Notebook file once the function finish running." ] }, { "cell_type": "code", "execution_count": 14, "id": "57249df5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Input files written complete.\n" ] } ], "source": [ "clathrin.write_input()" ] }, { "cell_type": "markdown", "id": "ea8e878b", "metadata": {}, "source": [ "## 3. Run NERDSS Simulation" ] }, { "cell_type": "markdown", "id": "07c3969a", "metadata": {}, "source": [ "Clone NERDSS repository from Github (https://github.com/mjohn218/NERDSS). Refer to the user guide and install NERDSS on local device. After installation NERDSS, a executable file named 'nerdss.exe' will be found.\n", "\n", "To run the simulation, copy the 'nerdss.exe' file generated in the first step in the same directory as .inp and .mol file. Open the same directory in terminal and run command below in system command line to start simulation:" ] }, { "cell_type": "markdown", "id": "23f979a5", "metadata": {}, "source": [ "> ./nerdss -f parm.inp" ] } ], "metadata": { "kernelspec": { "display_name": "local_ionerdss", "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": "3.9.21" } }, "nbformat": 4, "nbformat_minor": 5 }