{ "cells": [ { "cell_type": "markdown", "id": "2c2a1a82-74b4-4e94-8a09-83616f3dee0d", "metadata": {}, "source": [ "# MSIBI: Simple Tutorial" ] }, { "cell_type": "markdown", "id": "2df569d7-0782-4229-9767-6f2bf7932b0b", "metadata": {}, "source": [ "### Purpose\n", "\n", "This tutorial will illustrate the process of stringing together multiple instances of msibi optimization runs. It is common for IBI and MSIBI methods to optimize forces in order of their relative strength, which typically means bond stretching is optimized first, followed by bond angles, then non-bonded pairs and dihedrals, where the potential learned from the previous step is included in the next optimization. The API for msibi is designed to make it straight-forward to follow this process. This tutorial is split into three sections:\n", "\n", "1) Using a target trajectory of a single-chain simulation, an `msibi.Bond` force is optimized without including any additional forces. \n", "2) Using the same target trajectory, an `msibi.Angle` force is optimized. This optimization includes setting a harmonic bond-stretching force where the parameters were obtained from step 1.\n", "3) Using a target trajectory of a \"bulk system\" of oligomers, an `msibi.Pair` force is optimized. This includes setting a table potential for angle interactions (obtained from step 2) and a harmonic potential for bond-stretching (obtained from step 1).\n", "\n", "Before running this tutorial, see the installation section of the documentation to ensure you have the software environment needed to run this notebook.\n", "\n", "### A note about MSIBI's parameters:\n", "\n", "There are several hyper-parameters available in MSIBI that can significantly affect the outcome of the final potentials. These include things such as sampling sizing and frequency (`msibi.State.n_frames`, `msibi.State.sampling_stride`, number of simulations steps per iteration), the alpha value used in weighting state points and damping potential corrections (`msibi.State.alpha0`), as well as smoothing choices such as how often to smooth the learned potential (e.g., between each MSIBI iteration, or only once at the end), smoothing window and order (`msibi.Force.smoothing_window` and `msibi.Force.smoothing_order`). Therefore, when using MSIBI on your own systems, it is important to explore these parameters and understand the impact it can have on the final outcome.\n", "\n", "Because of differences in software environments, it might be the case that your outputs differ from those shown in these examples. Try changing some of these parameters to see how it affects the final potentials and distribution matching.\n", "\n", "### A note about head and tail corrections:\n", "The MSIBI method is only valid in regions of the sampled distribution that are non-zero. In order to extrapolate the learned potential across the entire range, correction functions are used for the head and tail regions. It is possible, either due to poor sampling, or to other parameter choices, that this fitting and correction procedure may fail. In these cases, try adjusting the parameters listed above and ensure the target trajectory is sufficiently sampled." ] }, { "cell_type": "markdown", "id": "3ee973c5-5dec-4b2e-ad2d-80a42c395a47", "metadata": {}, "source": [ "### Target Trajectories\n", "\n", "These examples use target simulations of simple Lennard-Jones (LJ) bead-spring models. In other words, these are already coarse-grained simulations, and the examples below \"learn\" the potential that was used in these target simulations. This is different from most applications of MSIBI, where the target trajectories are atomistic simulations that have had a coarse-grained mapping applied. In these cases, the coarse-grain potential is not known ahead of time, and the correctness of the learned potnetial is determined not just by structure-matching performance--which MSIBI optimizes against--but also other properties and behavior depending on the underlying systems and applications. To summarize, these examples suffice to illustrate the user interface and general process of using MSIBI to learn a coarse-grained forcefield, and using these simple systems allow this tutorial to do this without having to deal with complications from coarse-graining atomistic systems.\n", "\n", "The target simulations used the following model:\n", "\n", "Lennard Jones spheres are connected by harmonic bonds with the following interactions:\n", "\n", "\n", "- $V_{bond}(l) = 0.5k_{l}(l - l_0)^2$\n", " \n", "- $V_{angle}(\\theta) = 0.5k_{\\theta}(\\theta - \\theta_0)^2$\n", "\n", "- $V_{nb}(r) = 4\\epsilon\\left[\\left(\\dfrac{\\sigma}{r}\\right)^{12} - \\left(\\dfrac{\\sigma}{r}\\right)^6\\right]$\n", "\n", "with:\n", "\n", "| Parameter | Value | Description |\n", "|-----------|-------|---------------------------------------------|\n", "| $k_l$ | 500 | Bond-stretching force constant |\n", "| $l_0$ | 1.1 | Equilibrium bond length |\n", "| $k_{\\theta}$ | 250 | Bond-bending force constant |\n", "| $\\theta_0$ | 2.0 | Equilibrium bond angle |\n", "| $\\epsilon$ | 1.0 | Depth of non-bonded potential energy well |\n", "| $\\sigma$ |1.0 | Particle radius |\n", "\n", "Bonds and angles are learned from a single chain of 20 beads in a low density box (i.e., vacuum) while pairs are learned from a \"bulk\" system of 50 oligomers with 6 beads each." ] }, { "cell_type": "code", "execution_count": 1, "id": "413efbdf-3dde-4510-9268-1865a853fab6", "metadata": {}, "outputs": [], "source": [ "import importlib.resources\n", "import os\n", "\n", "from msibi import State, Bond, Angle, Pair, MSIBI\n", "import hoomd\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "import warnings\n", "\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "# NOTE: The 4 lines of code below are only necessary for this tutorial.\n", "# They are needed to give a path to sample .gsd files used in this tutorial.\n", "with importlib.resources.path(\n", " \"msibi.tests.validation\", \"target_data\", \"chains\"\n", ") as target_dir:\n", " target_data_dir = target_dir" ] }, { "cell_type": "markdown", "id": "b6eb18ad-313c-4453-a57c-3fe922ec6ab2", "metadata": {}, "source": [ "----------------------------------------\n", "## 1) Optimizing a bond-stretching potential:\n", "\n", "We will use a target trajectory consisting of a single chain simulation with a Lennard-Jones bead-spring model.\n" ] }, { "cell_type": "markdown", "id": "dcf04c63-feef-4587-8fd4-8c960a94e139", "metadata": {}, "source": [ "### Preparing all of the classes needed to run MSIBI:\n", "\n", "In this cell we make the following:\n", "- `msibi.MSIBI`: Object which acts as the context manager for the rest of the workflow.\n", " - Here, we set the simulation methods (NVT), thermostat (MTTK) and neighborlist (Cell) to use.\n", " - We provide additional parameters of time step (dt), thermostat coupling constant (tau), and trajectory write out frequency (gsd_period).\n", " - These set the methods used during coarse-grained query simulations, and the write out frequency effects sampling results of distributions.\n", "\n", "\n", "- `msibi.State`: Object which stores the target trajectory, state point information (temperature), and sampling information (n_frames, sampling stride)\n", " - Here we set information about the target trajectory such as the path to the target .gsd file, the temperature (kT) of the target trajectory, and state point name.\n", " - Parameters that are used for sampling the distributions are set here such as number of frames (n_frames), and step size between sampled frames (sampling_stride).\n", " - Finally, the state-point weighting factor (alpha), or in the case of a single-state point the damping factor, is set. \n", "\n", "\n", "- `msibi.Force` Object which provides forces used in the coarse-grained query simulations.\n", " - Here, we only include one bond-stretching force (`msibi.Bond`), which is also the force being optimized (`optimize=True`).\n", " - It is required to set an initial potential to use during MSIBI iterations. Here, we use the `set_polynomial` method where we create a harmonic bond-stretching potential with initial parameters of $x_0 = 1.3\\sigma$, $k2 = 200 \\epsilon$, $k3=0$, and $k4=0$. By setting $k3$ and $k4$ to zero, this results in an initial \"guess\" potential of $V(x) = 200(x-1.3)^2$" ] }, { "cell_type": "code", "execution_count": 2, "id": "a23fbdad-483f-4de9-b799-3759e1d96dfe", "metadata": {}, "outputs": [], "source": [ "# Remove the states directory created by the previous run\n", "!rm -r states/\n", "\n", "optimizer = MSIBI(\n", " nlist=hoomd.md.nlist.Cell,\n", " integrator_method=hoomd.md.methods.ConstantVolume,\n", " thermostat=hoomd.md.methods.thermostats.MTTK,\n", " thermostat_kwargs={\"tau\": 0.1},\n", " method_kwargs={},\n", " dt=0.0001,\n", " gsd_period=500,\n", " seed=50,\n", ")\n", "\n", "state = State(\n", " name=\"single-chain\",\n", " kT=4.0,\n", " traj_file=os.path.join(str(target_data_dir), \"single-chain.gsd\"),\n", " n_frames=100,\n", " sampling_stride=2,\n", " alpha0=0.4,\n", ")\n", "\n", "bond = Bond(\n", " type1=\"A\",\n", " type2=\"A\",\n", " optimize=True,\n", " nbins=60,\n", " smoothing_window=5,\n", " correction_fit_window=7,\n", " smoothing_order=1,\n", ")\n", "bond.set_polynomial(x_min=0.0, x_max=2.5, x0=1.3, k2=200, k3=0, k4=0)\n", "\n", "optimizer.add_state(state)\n", "optimizer.add_force(bond)" ] }, { "cell_type": "markdown", "id": "d0d94a5b-9c2a-4edc-817b-563ca0d1f186", "metadata": {}, "source": [ "Let's look at the target bond-length distribution, which is automatically calculated with the given " ] }, { "cell_type": "code", "execution_count": 3, "id": "bc985e43-bcb0-4a4e-a83d-c9b25d2dc29f", "metadata": {}, "outputs": [ { "data": { "image/png": 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tGSR5SAIkmZJKREREgUe6wDe0EDaDJA9JBslykmWqMxEREfm/oqIileSwfI/Xh0GShyxDbBIgMUgiIiIKLK6UynB2GxEREZETDJKIiIiInGCQREREROQEa5KIiCik14arqqry9WFQE4qIiEBYWFiTPBeDJCIiCsleObJobkFBga8PhZpBy5YtkZaW1ug+hgySiIgo5FgCpNatWyM2NpZNgYMo+D158iSOHTumbqenpzfq+RgkERFRyA2xWQKk5ORkXx8ONbGYmBh1LYGSvMeNGXpj4TYREYUUSw2SZJAoOMWa39vG1psxSCIiopDEdTeDV1O9twySiIiIiJxgkEREAWvV7lyc+8JydU1E1NQYJBFRwM5imbF4J347VqKu5TZRsA8h1Xe58cYbfXZsHTp0wMyZMxFsGCQRUUBmilbszsXmQ4XqZ7mW20TBnNHMycmxXiQgkcXVbbe99NJLbj1fZWVlsx1rsGCQREQBkykqr6rBD7uO4fEvt+LW99Zb9zUagOeX7GI2ifzic9pcpDmi5ZKYmKiyR5bb0mV64sSJaNeunZrZ1adPH3z00Ud2jz/77LNx9913Y/LkyUhJScF5552nti9YsABdunRRU+fPOeccvPfee+q5C2waba5evRpnnXWW2iczMxP33nsvSktLrc+7f/9+3H///dasVrBgnyQi8ku1M0WXvvYjfj1ajPIqk8O+Ju1UNmlU11QfHC0FOgluyqpq3H7cqlqf06Xbj2JElxS3niMmIqzRgUV5eTn69++PBx98UGWYvvnmG0yYMAGdOnXC4MGDrftJAHTHHXfgxx9/VL/zvn37MG7cONx333245ZZbsHHjRjzwwAN2z71lyxaMGTMGTz31FObMmYPjx4+rYEsu77zzDj777DOcfvrpuO2223DrrbcimDBIIiK/I3+8JTNky/JF1KZFFKpqTDhRVgXbf7RbsklndUkJqn/JkndIgNTzscWNfp7b3t/g9mO2Tx2D2MjGfR23bdvWLri55557sGjRIvznP/+xC5JOO+00zJgxw3p7ypQp6NatG5599ll1W37eunUr/vnPf1r3kfuuvfZaTJo0Sd2WrNPLL7+MUaNGYfbs2WjVqpVq2NiiRQuV1QomDJKIyK+zSLb+eVlvtE2KwY3v/OxwH7NJFOpdxJ955hnMmzcPhw8fRkVFhbrExcXZ7TdgwAC727t27cLAgQPttg0aNMju9oYNG/Dbb7/hgw8+sPuHjMlkwt69e9GjRw8EKwZJROSXWSRJBtXOFH388wEY5H+17rOQ7cwmkSdkyEsyOu58Tse/sRbbc4pUgG77Oe2ZnoB5tw9xOaMpr91Yzz//PF588UVV0C31SBIcSeandnF27aBJfo/ax1m7rspkMuH2229XdUi1tW/fHsGMQRIRBUQWSb6IthwuQkJ0uNMAScj2nIJyVNaYEBXe+C8eCh0SKLgz5LX81+PYml3k9HMq29fvL/BqfdzKlStx6aWX4rrrrtOPw2TC7t27G8zydO/eHQsXLrTbtn79qUkR4swzz8S2bdvUUF1dIiMjVTYr2HB2GxH5ZRbJGdme0TIGX909HF/fM8J6eXBsN3V/RJgBb0w4kwES+fxz6u3ZlhLALF26VM1C27Fjh8r8HDlypMHHyX47d+5UBd+//vorPvnkE7z77rvqPoP5F5T71qxZg7vuugu//PKLCr5kRpzUPdn2SVqxYoUa6svNDZ52HAySiMhvSAYou6Cs3kxRXkkluqa1QO+2idbLxFGdMbhjK1TVaJizap+3D5tCjCufU0tG01v+/ve/q4yPzEKTKflSQH3ZZZc1+LiOHTvi008/VTPU+vbtqwqxH3nkEXVfVFSUupbty5cvV8HRyJEj0a9fP/V66enp1ueZOnWqminXuXNnpKYGzwxTg8Y2tR4pKipSfSoKCwvVdEsiahry5bNs1zE88vlWpMRH4p0bB9rVTCTHRyI9Mcbhcduzi3DRKyvVcMeHtw7GsM7uTcOm0CHT5aXgWAKE6Ohojz+n+aV1N2Os63MaCGRm2+uvv46DBw8iGN9jd76/WZNERH5FhtMkWySGdk5Bn3YtXXpcz4wE/HlwFt5fux9PLtiOb+4dgfAwJsup+T6ncgkGs2bNUjPckpOTVf8kmfIvPZCIQRIR+aGf9+Wr64Edktx63OTzuuKrzdnYdbQYT329HT/+nocnLu7ldnM/olAiw2j/+Mc/kJ+fr2ar/eUvf8FDDz3k68PyC/xnFhH5lRqTho0H9OUQBmS1cuuxSXGR+Mt5XdXP/167n4vfErlAWgdkZ2erISop3pZ6o/BwDjQJBklE5Fd2HilCSUU1WkSFo1taC7cff82g9miXFIMac1EtF78lIk8xSCIiv7J+3wl1fWZWEsKkM5+b5DGR4af+tHHxWyLyFIMkIgqKeiTbZpR7juurk9deroSIyB0MkojIb0hHEkuQNKBDK48eL038aiegmE0iIk8wSCIiv3HoRBmOFlWoztmnuzj139mSJrZraQlmk4jIEwySiMhvrN+vZ5F6ZSQiJjIs4JeKIKLAxiCJiPzGz+aibU/qkfxxqQgiguqY/8UXXzT5qZDlVyZNmtSsp5iNEIjIb6xvRD1SVHgYFtw9wrpUxJxVe/D5xmxc0a8tbhrR0bpUhOxH1GRMNcD+1UDJUSC+DZA1DDA272fs2LFjqpfRt99+i6NHjyIpKQmnn346nnjiCQwdOhS+8sQTT6hgSBbBDRYMkojILxScrMSvR0vUzwOykhq9VETn1Hh1HRFmVIvgEjW57QuARQ8CRdmntiVkAGOnAz0vabYTfuWVV6KqqgrvvfceOnXqpAKl77//XnXMpqbF4TYi8gsb9utDbZ1S45Acr68+3hiJMRHqurCsqtHPReQ0QPrkevsASRTl6Nvl/mZQUFCAVatWYfr06TjnnHOQlZWFQYMGqWVELrzwQuvw1htvvIGLLroIsbGx6NGjB9asWYPffvtNDVHFxcWpjNPvv/9u99yzZ89G586dERkZiW7duuH999+3u//AgQO49NJLER8frxaGveqqq1SAJt599108+eST2LRpk3p9ucg2i9zcXFx++eXqeLp06YIFC+zPz/bt23HBBReo527Tpg0mTJigHmNRWlqK66+/Xt2fnp6O559/Ht7AIImI/Kseyc2lSOqSwCCJ3CFFa5Wlrl3Ki4Bv/yYPcvZE+pVkmGQ/V57PjckEEiTIRYa1Kioq6tzvqaeeUkGFDH11794d1157LW6//XYVTK1fv17tY7uI7eeff4777rtPrdu2detWte///d//YdmyZebTo+Gyyy5T2arly5dj6dKlKsgaP368ul+u5bG9evVCTk6OuljuExJASVC1efNmFQz9+c9/tma+ZN9Ro0bhjDPOUMe2aNEiFXzJ/hZ//etf1bHIcS5ZsgQ//PADNmzYgObG4TYi8rN6JM+G2mpjJoncUnUSeDqjiU6apmeYnsl0bfeHs4HIOJd2lTXVJENz66234vXXX8eZZ56pAoyrr74affv2te4nAY4lyHjwwQdV5kjqmMaMGaO2SUAk+1g899xzuPHGG3HnnXeq25MnT8batWvVdslYfffddyrA2bt3LzIz9d9LMk0SFP38888YOHCgCt7k+NLS0hyOW577mmuuUT8//fTTeOWVV7Bu3TqMHTtWZbDk95DtFm+//bZ6HVlLLiMjA3PmzMHcuXNx3nnnqftlqLFdu3ZobswkEZHPlVfVqP5GYqAHRdvOMEiiYCU1SbIgrQxZSdAjWRUJMmyHt2wDJhm+En369LHbJgvaFhUVqds7duzA8OHD7V5n+PDharvlfglaLAGS6NmzJ1q2bGndpz62xyPDfS1atFAF6EIyQpIlsmTJ5CLZLyHZKrlUVlbaFaW3atVKDQk2N2aSiMjnthwuVFPzU+KjkJUc26RBUhFrksgVEbF6RscVMpvtg3EN7/fnT/XZbq68tpuio6NVVkUujz32GG655RY8/vjjKmOjnjJC//wLqQ+qa5vJZHLYZqFpmnWb7c917VPvr2jz2pbXsry2XF988cWqzqo2qT/avXs3fIWZJCLyq/XaXPmD606QVFxRjZraLbiJapPPnQx5uXLp/Ad9Fhvq+qwagIS2+n6uPF8TfOYlqyPFzZ6S4m4pCLe1evVqtd3y/FK4ffDgQbti68LCQus+UvBdU1Pj9mtLFmzbtm3o0KEDTjvtNLuLZJ3kWoIsGf6zOHHihBqKa24MkojI5zaYi7b7ezj1v77CbcFsEjUp6YMk0/yV2gGO+fbYZ5qlX1JeXh7+8Ic/4N///re1Rug///kPZsyYoWaeeUoKo2W4TuqcJHPzwgsv4LPPPsMDDzyg7j/33HPVkJkUXP/vf/9T9URSGC71UAMGDFD7SJAjxyPF4jIzrb7Cclt33XWXKuKWmiV53j179qji7JtuukkFXTL8dvPNN6tjlFYHUlguGTOj0Rj8QdKsWbPQsWNHlTrs378/Vq5cWee+UgEvFfoyDiknx1mnTXmTLdMPbS8y9urp6xJR8zGZNKw3T/9vqnokS3+kOPPSJmwDQE1O+iBdNRdISLffLhkm2d5MfZIkYBg8eDBefPFFnHXWWejdu7cqyJZC7ldffdXj55WZay+99BKeffZZVYwtLQTeeecd1TLAtmu2NK6U15WgSXo0zZs3z65WSgqxpdA7NTUVH330kUuvLYXZP/74owqIpMZKficpLE9MTLQGQnJc8rqXXHKJeu0RI0ao7+7mZtB8uJCRnFzphSABixSIyZvy1ltvqRRe+/btHfbft2+f+mDIiZFriWBnzpzpECTJyd21a5fddttqe3df1xkpdpM3UFKN0i+CiDzz69FijH5xBWIiwrD5idEquGkqw6Z9j+zCcnx513Ccnun+grkUnOQfzZLxsPxDOdA6blPj3mN3vr99mkmSdJ6k0KTgTMY0JeCRynmZDuiMpPIk0pUUn/yCdZGIV4Ii20tjXpeImr8eqV/7lk0aIAn2SqJmJwFRx5FAn3H6NQOkoOKzIEmm88m0v9GjR9ttl9tSLNYYJSUlqgup9FCQjqMbN25s9OvK2KpEn7YXImq8hZtz1HXrhGj3/wW/dyWw5VP9Wm7XwjYARBSQLQCkqEvGHy39Gyzk9pEjRzx+XumtIENu0g9CAhnJPMmQmrRKl1bonr7utGnTVMdQImo6Mtq/zpxJ2nSwwOXpxK6umcUgiYgCunC7vr4MnhgyZAiuu+46tSLyyJEj8cknn6Br166qu2djXldaucv4peViOw2SiDzzxS+HUVWjl0XuzS3Fit2n1mpqijWzONxGRAEZJKWkpCAsLMwheyMdOGtneRpDKuOlXbqlGZWnrxsVFaUKvGwvROQ5+YfJi0tP9TkxGoDnl+xS2+skQ2qSQap3zawp1qE3NpSkhj6DFJy0JnpvfRYkSdMpmaUmi+TZktvDhrnQodSNEyU9G6Rrpzdfl4jqJ1mjA/ll1tvS71GWJqk3mySziGpnkBzWzDqs78fhNmqg+/PJkyd5joLUSfN7W7vTd0AtSyIL6MlUfGlEJWuyvPnmm6qj58SJE61DXIcPH1aL2llIwGMpzj5+/Li6LYGPdAMVUjckQ25SfyQ1SS+//LLa57XXXnP5dYmoeck/XiRrJAPctv/es2STzuqS4nz4W6ZZu8K8H2uSyBkZTZA1xyxrh8XGxjZZp3fy/d8WCZDkvZX3WN7rgA2Sxo8fr7qHTp06VTWKlAZSCxcuVDPThGyT4MVWv379rD/LLLUPP/xQ7S89lERBQQFuu+02NZwmbQJk/xUrVmDQoEEuvy4RNS/JFlkWtLVlm00a1TXV8YHSh8YV5v0YJFFdLK1hLIESBZeWLVs6tP8JuGaSgYzNJIk8I39yLn3tR7WorbO/PvIP+j5tE1UDSId/3Uut0TNZQGVxPWtmZQCTtqh+Nct2HsP/vfszemUk4Jt7R/ItIwcy27mqqopnJohERETUm0Fy5/vbp5kkIgo9lTUmZBeUOQ2QhGzPKShX+0WF1/pDd2ANUFlSxzM7rpnF2W3UEPkybeyQDAUvBklE5FUS+Cy4ewTySysxZf5mbM0uwt/GdMNZNsNryfGRjgHSyXxg/q16FVOHkUD+7076JD3DPklE1GQYJBGR12W0jFEXSzKpR3oCerdNrGdNrNbA6teA4mwguQtwzcdARAyw+GHgp9eBtgOBmxc7LAlhqUkqLq9GjUlDmFSGExG5iEESEflMaUW1uo6PDm+4o7YwhgPj3gai4vXbvS7XgySZ9u9kzSxLkCSKy6vQMjayOX4NIgpSPu+4TUShq6RCb/oYFxnecEdtYaoGTugzWZU2vfRaJMkwlTr2V4oMNyImQg+eCstYnEtE7mGQREQ+U1KhBy7xUeEudNQWBruO2ohqAbTqpP98ZLPTR7ANABF5ikESEflEdY0J5VUm++E2NztqK2l99OsjW5w+4tTSJPrQHhGRqxgkEZFPlJqH2kRcVJhHHbXdCZI43EZE7mKQREQ+UVKpZ3Yiw4ynpvu72VFbST9dv85xPtzGXklE5CkGSUTk05lt1iySyBqm9zuyNIZ02lG7rb5f7UxS3m6g0nHBUmaSiMhTDJKIyCekd5HD9H+Zxj92ussdtfUnaAPEpQKaCTi2w+FRDJKIyFMMkojIt5kk2+n/ouclwFVzgfBo++2SYZLtcr8tWd8tra/+85FNDq/DIImIPMUgiYh8osTSSNIy/d+WBEKWuqORfwVu+FpftLZ2gORC8XZijP78ReyTRERuYsdtIvJtkFS727aoLAUK9us/D5kIxKXU/2T1BUmxnN1GRJ5hJomIfKLEXJMU5yyTdHynfh3XuuEAyXaG29FtpxpNmnG4jYg8xSCJiHxak9TCWZBkKcBu3cO1J5Ou2xGxQNVJIO93u7sYJBGRpxgkEZFP+yTF1Rsk9XTtyWS2m1rHzXF5EgZJROQpBklE5H/Dbce2u5dJsqtL2uy0mWRReRVMprrWhCMicsQgiYj8eLjNxUySsLYB2OI0k6RpQLH5NYmIXMEgiYh8OrvNIZN0Mh8oztF/Tu3mfpAky5NIRGQmS55ER+h/6tgGgIjcwSCJiPyrBYBlZltieyA6wfUnlKE5gxE4mQsUH7G7i3VJROQJBklE5BOlFfpU/Xjbtds8rUcSkbFASlenQ24J0eyVRETuY5BERD7uuK0HMB5P/3eheJuZJCLyBIMkIvJxTVKtTNLR7e4XbVswSCKiJsQgiYh82gLAbu02Kbi2DLe18SRIqn+GWyHXbyMiNzBIIiKvqzFpKKuqcQySpOC6vAAwhAHJXTzPJOXvASqKHXolMUgiIncwSCIirys1d9t2aAFgySIldwYiot1/YlnnrUWG/vORrdbNzCQRkScYJBGRz4baIsIMiAo3Nk3RtkW645AbgyQi8gSDJCLyWbdtySIZDIbGddp2oXjbEiSxmSQRuYNBEhF5nWV5kLjI8KbpkeRikMSaJCJyB4MkIvLdum223bZNplPdthuVSep7KitVU6V+TIxlkERE7mOQREQ+q0myK9ou2A9UnQTCooCkjp4/ecssICoBqKkEcn9Vm5hJIiJPMEgiIh922w53rEdK7QqE1RqGc4fRCLTupf/88xxg70okRp1a4NZkOrX4LRFRfRgkEZHPhtvsg6RGdNq2tX0BcNRcj7R+DvDeRWg9ZwDGGNdB4iPb9gNERPVhkERE/pVJakzRtgRIn1wPVJbabTYU52B2xEwVKLF4m4hcxSCJiLyupKLGSSPJRk7/N9UAix6UtU2c3KkBBuDxiPdRWFru2fMTUchhkEREXldSoc86i7csbiuz0MxF1h5nkvavBoqy6/1jl2HIgyb7ERG5gEESEXldqTmTFG9pAZD3G2CqAiJbAImZnj1pyVGXdqspzPHs+Yko5DBIIiKf1SRZh9tsm0jaduB2R3wbl3bLM7by7PmJKOT4PEiaNWsWOnbsiOjoaPTv3x8rV66sc9+cnBxce+216NatG4xGIyZNmuSwz7/+9S+MHDkSSUlJ6nLuuedi3bp1dvs88cQTaikE20taWlqz/H5EVHefJGvhdlMUbWcNAxJkcVvnQZZUKmVryfg9xtyRm4jIn4OkefPmqUDnkUcewcaNG1Vwc/755+PAgQNO96+oqEBqaqra//TTT3e6zw8//IBrrrkGy5Ytw5o1a9C+fXuMHj0ahw8fttuvV69eKuiyXLZsObUYJhE1L8s0fMcgqRHT/41hwNjp5hu1AyX99pNVE1BQbvL8NYgopPg0SHrhhRdw880345ZbbkGPHj0wc+ZMZGZmYvbs2U7379ChA1566SVcf/31SExMdLrPBx98gDvvvBNnnHEGunfvrjJLJpMJ33//vd1+4eHhKntkuUjwRUQ+6rjdFGu2iZ6XAFfNBRLS7bcnZOCr7tOx2DSILQCIyP+DpMrKSmzYsEFleWzJ7dWrm272ycmTJ1FVVYVWrezrEHbv3o2MjAw11Hf11Vdjz549TfaaRORGn6TKk0D+3qZpJGkJlCZtBS55Tb8dEQdM2oLj7caom4VlbCZJRH4eJOXm5qKmpgZt2tgXW8rtI0eONNnrTJkyBW3btlW1SRaDBw/G3LlzsXjxYpVpktcbNmwY8vLy6nweGeorKiqyuxBREwRJubv0iqHYFCC+iTK6MvTW+wr956pSoKKI67cRUeAVbkvRtC1N0xy2eWrGjBn46KOP8Nlnn6nCcAupe7ryyivRp08fFTx98803avt7771X53NNmzZNDfFZLjIsSETuk7XTTlbatABoiqJtZyJjT814y9/LIImIAidISklJQVhYmEPW6NixYw7ZJU8899xzePrpp7FkyRL07du33n3j4uJUwCRDcHV56KGHUFhYaL0cPHiw0cdIFIps105TmaSmWrPNmaQO+vWJfdYgSRa5JSLy6yApMjJSTflfunSp3Xa5LUNfjfHss8/iqaeewqJFizBgwIAG95ehtB07diA9vVaxp42oqCgkJCTYXYjI86G2cKMBUUYN2PejfocxXF9apCkldXQIkrh2GxEFxHDb5MmT8dZbb+Htt99WQcr999+vpv9PnDjRmr2RmWy2fvnlF3UpKSnB8ePH1c/bt2+3G2J79NFH1XPKbDjJVMlF9rd44IEHsHz5cuzduxc//fQTxo0bp2qMbrjhBi/+9kShqdQcJF0SuQGGl/oA2f/T71j7GjCzt75IbZNnkuyH22RYn4ioITarS3rf+PHjVbH01KlTVa+i3r17Y+HChcjKylL3y7baPZP69etn/Vlmx3344Ydq/3379lmbU8rMOQl8bD3++OOqiaQ4dOiQ6qUkxeMy9X/IkCFYu3at9XWJqPkUl1djjHEdnsdMoPb8h6Ic4JPr9Wn8MkutGYbbakwaSitrTvVoIiKqg0HjP6k8IpknKeCW+iQOvRG5btWuo+j04RCkG/Lr6I1t0DtnT9qiz1JrjANrgbfHAC3bQ7tvM7o++i2qajT8OOUPaNsyhm8bUQgqcuP72+ez24gotEQeXouMOgMkoQFFh4H9q5suk1R4CIaaqlNDbidZvE1EDWOQRERepZW42Aet5GjjX0xaAIRHA5oJKDyIBBZvE5EbGCQRkVedMNp3v6+TpcdRY0jPNSd1SZzhRkSuYJBERF61J7YvsrVWMqhWB6lJagtkNa4VSH1tANgriYhcwSCJiLyquFLDk1X2rT1OMVcqjX2m8UXbDbQBICJqCIMkIvKqkvJqLDYNwqLOjzneKbPammr6vwWH24jIQ2wUQkQ+aSZ5smVXfUN0EnDhc3oNkgyxNVUGyaKVzXBbJ2aSiMh1DJKIyCfLkqRW5+gbUrsBfeybvzYpSyYpfx8Se+p/8jjcRkSu4HAbEfkkSEquMgdJSc3c6b5le/26shgp4aXqRwZJROQKBklE5JPhtsTyw/aZnuYSEQO0yFA/ptXoPZoYJBGRKxgkEZFXFZuDpPgyc5DU0gtrJpoDseRK/TXZAoCIXMEgiYh8kkmKKT3onUySzWtYsldF5WwBQEQNY5BERF5VWlEDI0yILLEMt3khk2Se4RZ38pB1uI1rexNRQxgkEZHXmEyaKtxORx4MpmogLBJoke61TFJ08QF1XVWjoayqpvlfl4gCGoMkIvKak+bAJNN4XN+QmNn0fZHqCZKMBfsRbtS7erN4m4gawiCJiLzabVtkGY55rx5JvY4+3GYoOoyUaH0TgyQiagiDJCLyeo+kzhG53g2S4lKAiDgAGrpGn1CbCk+yeJuI6scgiYi8HiRlWYbbvFG0LQwGa0B2Wrj+2swkEVFDGCQRkden/2d6e7jNZoZbhzAGSUTkGgZJROT1TFK6dsx7jSQtzAFZO+ivzUwSETWEQRIRebVwOwblSDKd8H4myfxa6TX6mnHsuk1EDWGQREReU1pZjXYGc9F2dCIQ09LrQVJKtR4kMZNERA1hkEREXlNcXo32hqPezyKp19NrklpWSKdvjUESETWIQRIRebVwO9Nw3Pv1SOr1MmWaGyJqypCCIgZJRNQgBklE5NUgqb0vZraJ8Cggoa36UbJZHG4jooYwSCIirym2zSR5q0eSkzYA0oKAQRIRNYRBEhF5ebjNR5kkm8BMlkUpLNPbERAR1YVBEhF5TUl5lc1wm57V8SpzYNbeeEy1ANA0zfvHQEQBg0ESEXlNWHk+Yg0V0GAAEtt5/8ybAzPJZlXWmFBeZfL+MRBRwGCQRERek1B2SF1XxqbphdQ+CpKyzG0IWJdERPVhkEREXpNUoTdyrEpo75uzbh5uSzOcQBQqGSQRUb0YJBGR16Sau11r3u6RZBHbCohKUD+2MxxnkERE9WKQREReIUXSbUxH1M8GX8xsUy9ssM5wkwJyDrcRUX0YJBGRV5ysrEEm9JltEak+mNlmYQ7QpC6JQRIR1YdBEhF5RYlNI8nIZF8GSR2tmaRnvt2BVbvNC+4SEdXCIImIvKLkZBkyDHpAYjB3vvZlJknaAOSWVGLG4p3sl0RETjFIIiKvqMo/gDCDhgpEAvFt/GK4TWw+VIgVzCYRkRMMkojIK2ry9qnrI8Y2egG1j2g2w22ABqMBeH7JLmaTiMgBgyQi8o4CPUg6Hp7m0zO+8ng0ajQg2lCFPxu/wyDDdmw9dILZJCJywCCJiLwivPCAus6PyPBpG4Ifv3lf8kfq9j8j38HHkf/Aj1H3YvVXbzObRET+FSTNmjULHTt2RHR0NPr374+VK1fWuW9OTg6uvfZadOvWDUajEZMmTXK63/z589GzZ09ERUWp688//7xRr0tEjRdVogdJhdG+C5K2//cDPFj0NMJgv2ZbG+Sr7XI/EZFfBEnz5s1Tgc4jjzyCjRs3YuTIkTj//PNx4ID+x7S2iooKpKamqv1PP/10p/usWbMG48ePx4QJE7Bp0yZ1fdVVV+Gnn37y+HWJqPFiSg+r65KYdr7JItVUo82Pj6ufa5dESV2SaP3j42o/IiL1t0KT/LOPDB48GGeeeSZmz55t3dajRw9cdtllmDZtWr2PPfvss3HGGWdg5syZdtslQCoqKsK3335r3TZ27FgkJSXho48+avTrWshrJCYmorCwEAkJ+jIHRFS3k/9oj9jqQszuPhd3XH2p109V5W/LEfnvSxre77oFiDxtlFeOiYi8z53vb59lkiorK7FhwwaMHj3abrvcXr16tcfPK5mk2s85ZswY63M21+sSUT3Ki1SAJCoSfJNJiiw73qT7EVHwC/fVC+fm5qKmpgZt2tj3S5HbR47o6zt5Qh5b33N6+roy1CcX20iUiFxUsF9d5WktEBmb6JvT5mpvJl/2cCIiv+Lzwm1DreIAGf2rva05ntPd15VhOEnPWS6ZmZmNOkaikHJCD5IOaqloEeWjf5tlDQMSpGi8rv/ODUBCW30/IiJfBkkpKSkICwtzyN4cO3bMIcvjjrS0tHqf09PXfeihh9T4peVy8OBBj4+RKOSc0HskHdRaI85XQZIxDBg73XyjdqBkvj32GX0/IiJfBkmRkZFq6v3SpUvttsvtYcM8/5fc0KFDHZ5zyZIl1uf09HWlnYAUeNleiMj9ICneV0GS6HkJcNVcICHdfrtkmGS73E9EZObDv1bA5MmT1RT9AQMGqODmzTffVNPwJ06caM3eHD58GHPnzrU+5pdfflHXJSUlOH78uLotgY/0QxL33XcfzjrrLEyfPh2XXnopvvzyS3z33XdYtWqVy69LRM1Tk3RAa40zfBkkCQmEul+IA9MGon3V79jS6Rb0uW4GM0hE5MCnf61kun5eXh6mTp2qGkX27t0bCxcuRFZWlrpfttXuXdSvXz/rzzJL7cMPP1T779un/0tVskEff/wxHn30Ufz9739H586dVV8kmfbv6usSUXNlklIRH+3jIEkYw3A0rivaF/yOUlMkAyQi8r8+SYGMfZKIXGQyAU+nA9XlGFnxIt6dfBU6p8b7/PStfHMyRmbPwcbUS9HvrlPZaiIKbkWB0CeJiEJEyVEVIFVrRuRoyb6tSbJR2ULv1xRblu3rQyEiP8UgiYi8Uo8kAVI1wv0mSNIS9SApscLzvmxEFNwYJBFR8zHVAL8uVj8WaHEIM5gQG+kfU+zDWrZX10lVx6RRmq8Ph4j8kH/8k46Igs/2BcCiB4EifTirT9g+/Gi8D4Ydml9MtY9spTeEjUIFcDIPiEvx9SERkZ9hJomImidA+uR6a4Bk0dqQp2+X+30ssUU8jmot9RsF9rNoiYgEgyQiavohNskgQav7D86iKfp+PpQYE4HDmjl7VMgO+kTkiEESETWt/asdMkj2NKDosL6fD7WMjUC2OUiqymcmiYgcMUgioqaf8t+U+zUTmWWXDT1IqszTZ+AREdlikERETSu+TdPu10wMBgPyw/VjMJ1gJomIHDFIIqKmlTVMXzAWhjp2MAAJbfX9fKwoWl/o1lh0yNeHQkR+iEESETXxX5UwYOx0p3dZS7nHPuMX66WdjNGDpIiSw74+FCLyQwySiKjpSR+kq+YCkS3sNhdHttG3+0GfJFEV31ZdR1YWABUlvj4cIvIzDJKIqHlIINTjIvXjLwnn4OrKR/HvIV/5TYAkouKSUKTF6jcKOeRGRPYYJBFR8zEHHhtjhmCtqSfiY6L86mwnxrJXEhHVjUESETUfc5PGQ+Z+RHGR/rUSUsuYSOuxses2EdXGIImImofJBBTqBdEHapLVdXy0nwVJqqGkfmzsuk1EtTFIIqLmUXIEMFUBhjAcrEq0NnD0tyDp1NIkrEkiInsMkoioeRSY10NLaIuiCn3yf5yfBUn6+m2p9sdLRGTGIImImodl0diWmSipqPbTTFIkF7klojp5/BeroqIC69atw759+3Dy5EmkpqaiX79+6Nixo6dPSUTBpEBf6kNLbOe/QVKMzXBbcQ5QUwWERfj6sIjIT7j9F2v16tV45ZVX8MUXX6CyshItW7ZETEwM8vPzVeDUqVMn3HbbbZg4cSJatLBvJEdEoZdJqm7RDiZzq21/LNzORQIqtHBEoRooygaSsnx9WEQUiMNtl156KcaNG4e2bdti8eLFKC4uRl5eHg4dOqSySbt378ajjz6K77//Hl27dsXSpUub78iJyL+Za3zKY/Wu1iI2wvdLkdhqER0BGIyc4UZETrn1z7rRo0fjP//5DyIjI53eL1kkudxwww3Ytm0bsrOz3Xl6IgrCTFKJWh9NU0NtRmNdi976RpjRgIToCByuTkFHHGXxNhF5HiTdddddLu/bq1cvdSGiEKRp1oCjOEqCpGzERflXFsmuDUBhqn2xORFRY2a3fffdd3Xe98Ybb/DkEoWyshNAVan6MT+ijV9O/7ct3rY2lDQXmxMRNSpIuvDCC/GXv/xFFW9bHD9+HBdffDEeeughnl2iUGYJNuJao6RazyC18NMgKVHaAIANJYmoCYOkFStW4KuvvsLAgQNV/dE333yD3r17o6SkBJs2bfL0aYkoyHoklVZW+30m6VTXbQ63EVETBEmDBw/Gxo0b0bdvX/Tv3x+XX365yiz997//RWZmpqdPS0TBwNK9OjETxeX+2SPJtibpkO3SJFJPRUTU2I7bu3btws8//4x27dohPDwcO3fuVK0AiCjE2WaS/LSRpG0m6YiWDBMMQHU5UHrc14dERIEeJD3zzDMYOnQozjvvPGzdulUFS5bM0po1a5r2KIkoMGuSEttbu23H+XFNUhXCURRuKd7mkBsRNTJIeumll1TXbem+HR0drab7yzIlV1xxBc4++2xPn5aIgnXdNj/rtm2bSRLHja31DaxLIiIzj/9qbdmyBSkp5nF8s4iICDz77LO46KKLPH1aIgqymqSSAKhJEjlIQRf5gUESETU2k1Q7QLI1atQoT5+WiAJdZSlQlu8wu83fg6SDluJtDrcRkSdBkixae/Cga+P18+bNwwcffODO0xNRMLAEGVGJQHQiSipq/LsmKUZfZmlfVSt9AzNJRGTm1l+t1NRU1Qtp2LBhuOSSSzBgwABkZGSomqQTJ05g+/btWLVqFT7++GO1CO6bb77pztMTUZDVI4mS8qqAyCT9XpUEyI8MkojIzK2/Wk899RTuuecevPXWW3j99dfVrDZbLVq0wLnnnqvul8VwiSiUZ7bpQdKxogp1vS9XX6bE3ySaC7cPmTjcRkT23P6nXevWrfHwww+rS0FBAfbv34+ysjJVo9S5c2cYDP61yjcR+S6TpGkajhaXq5ufbjiI20d18ru/ERFhRpXlOlxhDpLKC4CKYiCqha8PjYgCrXBbmkXeddddajita9eumD59Ok477TR18bc/fkTky5lt7bBidy6qavQO1r8dL1W3/TWbVIoYVEcm6htYvE1EngRJjz/+ON599121wO3VV1+NpUuX4o477uDJJCK7TJKWmInnFu+ynhWjAXh+yS6VXfLXuqTy2HR9A+uSiMiT4bbPPvsMc+bMUQGSuO666zB8+HDU1NQgLExf7ZuIQpg5C7OxqAW2HC60bjZpwOZDhSqbNKprKvwxSCqOTkc8djJIIiLPMknSAmDkyJHW24MGDVLrtmVnZ8MTs2bNQseOHdUMOVkod+XKlfXuv3z5crWf7N+pUydVQG5Lun3LsF/ti2S+LJ544gmH+9PS0jw6fiKyUV0JFOeoH2euL1PZI1v+mk1qaW4DUBBp/jvA4TYi8iRIkoxRZKT+B8VCgqTqar1hnDukl9KkSZPwyCOPqHXfJPg6//zzceCAeXZMLXv37sUFF1yg9pP9pXj83nvvxfz58+0yXTk5OdaLzMCTDNef/vQnu+eSZVRs95MO4kTUSEWHZaANJmMkVmYbVPbIlm02yZ8kmjNJx41t9A0cbiMiT4bb5F+AN954I6KioqzbysvLVaPJuLg4u2ClIS+88AJuvvlm3HLLLer2zJkzsXjxYsyePRvTpk1z2F+yRu3bt1f7iR49emD9+vV47rnncOWVV6ptrVqZG8KZSc+m2NhYhyBJAjtmj4iamDm4kCU+YDBKvOTAYM4mndUlxW8me1jWbztqZBsAImpEkHTDDTc4bJO6JHdVVlZiw4YNmDJlit126a+0evVqp49Zs2aNQ/+lMWPGqBqpqqoqtXZcbZb6KdsATuzevVs1wpRgb/DgwXj66afV8F1dKioq1MWiqKjI5d+VKGSYh6kOaSmoa0RNtucUlKOyxoSo8DC/qkk6bOmVVHjItwdERIEZJL3zzjtN8sK5ublq6K5NG3N620xuHzlyxOljZLuz/WWoT54vPd08M8Vs3bp1arhNAiVbEhTNnTtXtTA4evQo/vGPf6gu4tu2bUNycrLT15bM1pNPPunhb0sUWpmk3j174+thI3DnBxtwIL8MT17SC/2zkqy7JcdH+k2AZFuTtK/G/N+/1FVJfVW4fWkBEYUWjxe4bSq10+0ynFdfCt7Z/s62CwmOZBkVKS63JXVPMjzXp08f1SH8m2++Udvfe++9Ol/3oYceQmFhofXi6hp2RKGYSYpr3RE90xNw1Nxt++xuqejdNtF6SU+MgT/WJB0ojwXCo1VdlV5fRUShzGdBknToloLq2lmjY8eOOWSLLKSGyNn+Ul9UOwMkTS+lHslS71QfGYqTgEmG4Ooiw3IJCQl2FyKqpfDUkiTSabui2oRwowFtW/pXUFRXTVJBebVqgqmweJso5PksSJIZcjKVX5pR2pLbMvTlzNChQx32X7JkiVpot3Y90ieffKJqiFypl5L9duzY4TBcR0Ruskydb5mJfbkn1Y/tkmIQHubzpHW9Wsbqw2qFJ6tOBUlsA0AU8nz6l2vy5MlqMdy3335bBSn333+/mv4vM+UsQ1zXX3+9dX/ZLmvFyeNkf3mcDKk98MADDs8t2y+77DKnNUayv/RbkpYCP/30E8aNG6cKsZ0VpRORi0ymU0NUiZnYn6cvaJuVbD9pwh9ZCrcLyqpUp3CFxdtEIc/twu2mNH78eOTl5WHq1KmqV5HUDy1cuBBZWVnqftlm2zNJmk7K/RJMvfbaa2p22ssvv2yd/m/x66+/YtWqVSrL5MyhQ4dwzTXXqGLv1NRUDBkyBGvXrrW+LhF5oOQoUFOpT/1PyMC+vN/V5g7JsX5/OmXtNlFj0lAZlw7V4GTvciBrmH4x+k+RORF5j0Hzt9a3AUIyT4mJiaqIm/VJRNKOfx0w5zwgoR0weRvu+PcGfLv1CB67qCduGtHR709R979/i1E1azGrxbsIqyg4dUdCBjB2OtDzEl8eHhH54PvbvwsFiChwFJizvi314ap9eXpNUocU/88kicui/ofZETNhtA2QRFEO8Mn1wPYFvjo0IvIRBklE1DQss8ESM1VrjkCqSYKpBn+p0fupOTYTMSfbF01R+xFR6GCQRERNPrMtt6QSJytr1IK2MrvN7+1fjVQtz2FB3lPMfZP2O18NgIiCE4MkImryTJIli5TRMsavOmvXW3TelPsRUVBgkERETd8jyVyPlBUAM9uU+DZNux8RBQUGSUTUeDJJ1ppJah9Y9UgiaxiKIlvDVOdcXwOQ0FZvB0BEIYNBEhE1XtkJoLJE/zmx3amZbYGSSTKGYXWXv6ofHeMkc6HS2GfYL4koxDBIIqLGs2SRYlOAyNjAyyQByG8/FndUTcKJsFT7O6RP0lVz2SeJKAT5tOM2EQVfPZJM/9+bqwdJHQIoSJKu24tNg1CQch7m9V4HfP8kkNQRuGcDM0hEIYqZJCJq0pltBSerUFxerW62bxUgw20267edKK8Buo7RN5YXMEAiCmEMkoioCTNJ7bHPPNSWlhCNmMgAmP5fa/02CfIk2LPWWlWYa62IKOQwSCKixis8YNMjKcCm/9fKJBWUVUGLagFEJep3FB7y7YERkc8wSCKiJu6RFHj1SKJlbKS6rqw2obzKpGbpKQySiEIWgyQiahxZzyx/j/5zaS4O5BarH7MCZGFbi7jIMISb1yUpKKu0LtRrzZIRUchhkEREntu+AHixF1BRpN/+6l48/OtVGGNcF3CZJIPBcGrITdUlMZNEFOoYJBGR5wHSJ9cDxTl2m1uZcjE7YiZ6Fy0PuDNrX7zNIIko1DFIIiLPhtgWPei0P7Xlj0q7tVP1/QKwLqlQhtssM9ws9VZEFHIYJBGR+/avBoqy6/7DYgCMxYf1/QJIS2dtAFi4TRSyGCQRkftKjjbtfn4i0aYNgLVwu+hwwGXEiKhpMEgiIvfFt2na/fxEy5jIU5kkOXZjOKDVONRdEVFoYJBERO7LGqYv/Ap9ynxtqlIpoa2+XwCxzG5TNUnGMPPvyCE3olDFIImIPPjLEQaMne70LpOKkAzA2GcCbt0zuxYAIrG9fs26JKKQxCCJiDzT8xLgyjkOm48gGfv/OFu/P0BbABRKTZLaYG4DUMCGkkShKNzXB0BEASz9dP06LBoVF76EGz49iHWm7tjYfywCkaUFwKlMEnslEYUyZpKIyHMF+/XrVh2xJ/0CrDX1RGJslHWWWKBpWTuTZF2ahL2SiEIRgyQianyQ1LI99psXts0KsOVInNckVeobmEkiCmkMkojIc5ZanZbtsS/vpPqxQ3JgLWzrrAVAaWUNKqtNLNwmCnEMkoioSYKkYMgktYgOh8Hc1UANuSW21W/IAr5lBT49NiLyPgZJRNT4ICkpC/tyzZmklMDNJBmNBpsZbpVAZBwQ00q/k20AiEIOgyQi8lyQZZIc1m9TG7iGG1GoYpBERJ6pKrOuzVYe1w7ZheXq5w4BHiQlOrQB4Aw3olDFIImIPGMZfoqMx8GyKGtNT1KATv93yCTVbijJNgBEIYdBEhE1evr/vvwyaxbJYKl8Dpo2AOZMUgF7JRGFGgZJRNSE9UiBW7RdZ0NJ9koiClkMkojIMydsMknmICnQ65Gc1iSxcJsoZDFIIqImyCTp0//bB1Em6VRNknm4rTgHqDYPwRFRSGCQRERN0G07eDJJDjVJsSlAmBSma0Bxtm8Pjoi8ikESETUqSKpq0R6HzIXbx4r0NgDBECRZa5KMRtYlEYUoBklE5FmPpNJj6sdDWrLkWJQ3V+yBplluBabEmFo1SbZtADjDjSikMEgiIvdZgoXIFvjq11PZo82HC7Fid25QZJIOnTiJVZbfxdpQ0twbiohCgs+DpFmzZqFjx46Ijo5G//79sXLlynr3X758udpP9u/UqRNef/11u/vfffdd1ael9qW8vLxRr0tEjkNtWstMfPzzqf5BRgPw/JJdAZ1NSowOV9cmDZi+aKf+u1hnuJnrsIgoJPg0SJo3bx4mTZqERx55BBs3bsTIkSNx/vnn48AB53+I9u7diwsuuEDtJ/s//PDDuPfeezF//ny7/RISEpCTk2N3kWDI09clIueNJPMi0qzLkVgCi82HAjubJNkwiy2WzBh7JRGFJJ8GSS+88AJuvvlm3HLLLejRowdmzpyJzMxMzJ492+n+kjVq37692k/2l8fddNNNeO655+z2k8xRWlqa3aUxr0tEzjNJa/IcZ7MFcjZJjnnmd7sdfxcGSUQhyWdBUmVlJTZs2IDRo0fbbZfbq1evdvqYNWvWOOw/ZswYrF+/HlVVp4osS0pKkJWVhXbt2uGiiy5S2aLGvK6oqKhAUVGR3YUo1IOkX4oTHO4K5GySHLMce+3fZd2JuFO1WAEY/BFRgAVJubm5qKmpQZs2bey2y+0jR444fYxsd7Z/dXW1ej7RvXt3VZe0YMECfPTRR2qYbfjw4di9e7fHryumTZuGxMRE60UyT0ShSjMPtx1GqtP7DQGYTZJjlWOW7JEtuT1jdbF+o7oMOJnvk+MjohAs3K69GKb8oapvgUxn+9tuHzJkCK677jqcfvrpqtbok08+QdeuXfHKK6806nUfeughFBYWWi8HD3KxSwph5kzSQZPzIEn+s8wpKEdljQmBlkWS7JEtub3hcBkqos2/ayH/2ycKFfo0Dh9ISUlBWFiYQ/bm2LFjDlkeC6ktcrZ/eHg4kpOTnT7GaDRi4MCB1kySJ68roqKi1IUo5FWehKH0uDoNN104Cn/5+gDSEqPx1vUD7E5NcnwkosLDAiqLJP9Ocpb8ku37qpPQDcf1ICnjDF8cJhGFSiYpMjJSTb1funSp3Xa5PWzYMKePGTp0qMP+S5YswYABAxARofc2cfbH75dffkF6errHr0tENiyZlKgEmKIS1Y9dWsejd9tEu0t6YkzAnDbJeGUXlNVZbiTbD9aY/yHGXklEIcNnmSQxefJkTJgwQQU5EgC9+eabahr+xIkTrUNchw8fxty5c9Vt2f7qq6+qx916662qkHvOnDmq9sjiySefVENuXbp0UcXVL7/8sgqSXnvtNZdfl4hcW7PtwAl9OZL2rQJ7YVvJeC24ewTyS/X12vJLK3D92z9DBuDn3zkUkWFh6PC/FcCGNey6TRRCfBokjR8/Hnl5eZg6darqZdS7d28sXLhQzUwTss22d5E0f5T777//fhX0ZGRkqCDoyiuvtO5TUFCA2267TQ2nSYF1v379sGLFCgwaNMjl1yWiepiLtiVI2p93MiiCJJHRMkZdLBnoFlHhKK6oRnxUBLq2aQEc7KjvyJokopBh0AJp+okfkSyVBGFSxC3NK4lCxtLHgB9fAgZPxGV7LsEvBwvw+nVnYmxvfUg7WFz66ipsOlR46nfb8TUw789AxpnAbct8fXhE5IXvb5/PbiOiAB5uy9czSZlBkEmqrVNqvLr+/XipvsG6NAlntxGFCgZJRORRkFQW29Zaw5OV7Nh5O9B1StF/pz2WIMmyyK3M7KvSa7GIKLgxSCIi95zQa5KyDXrfoOS4SMRH+bS8sVkzSXtyS/QNMUlAhDkYLMr24ZERkbcwSCIi11WWAif17vZ7q5ODdqhNdEo9lUlSpZvSLMmyhptlyJGIghqDJCJynaxdJqIS8HuRnj3KSg7OIKljSpyKiwrLqqzDitYgib2SiEICgyQi8qBoOwv7g6RHUl2iI8KQYW6I6Vi8fciHR0ZE3sIgiYg86pF00DyzLViDJPsht5JamSTOcCMKBQySiMij6f/B1EiyLp2txdu1ZrgxSCIKCQySiMjtIKkmMROHC8qCdvq/RWeHTFKmfW0WEQU1BklE5HaQlB+ehhqThqhwI1q3iAraM2htA2DtlWQebis6DJhMPjwyIvIGBklE5HaQdEhLtU7/NxplGdjgrkmSzuJVNSYgIQMwGIGaSr2pJBEFNQZJROSaihJrj6TdVUnqOiuI65FEWkI0YiPDUG3S9CVYwiKA+DT9zv+9B+xdCZhqfH2YRNRMgq9NLhE1D0uxclSitUdSsDaStDAYDKpf0rbsIjXk1vn4f62BIpb9U7+W7NLY6UDPS3x6rETU9JhJIiKPF7YN1kaSzuqStO1fAp9crw+12SrK0bdvX+CbAySiZsMgiYjcC5KSsqzT/0MiSEqJgxEmDNo5Q0IlJ3uYty2awqE3oiDDIImI3GokqSVmhkQjSdvi7UHGnWhZXV+htqbPeNu/2otHRkTNjUESEbmVSToZ1xbFFdXq53ZJwR8kSUPJ1ihwbeeSo819OETkRQySiMitIOmosY115pesbxbspHD7GFq6tnO8fm6IKDgwSCIit4Kk/TXJ6rp9CNQjibiocByIOx3ZWitoqKsnlAFIaAtkDfPy0RFRc2KQREQu9kjKUz/+Wp4UMvVIFh1aJ+DJquvNt2oHSubbY58BjMGfWSMKJQySiMj1HknRifitKCwkGknWLt5ebBqEL7pOAxLS7e+UPklXzWWfJKIgxCCJiBp2Yr+1R9J+y8y2EBlusxRvi0U1A4FJW4GRD+h3pPYAJm1hgEQUpBgkEVH9ZNmN35fpP0fE4XBeccgNt9ktdCtDan3G6XcUHnIy/EZEwYJBEhHVTbpIz+wNrHtdv31wLf5TcTvGGNchK1lf/DUUSENJIU00a0wakHwaEBYJVBZb+0cRUfBhkEREdQdIstxGUbbd5jTkY3bETCTt/zZkzlzbljGICjeissaEQyfMC92mdtPvPLrN14dHRM2EQRIROR9iW/Sg02U4jDK6ZAAMix4KmWU4jEZ9oVvx+/ESfWObPvo1gySioMUgiYgcyfIatTJIDn84QmwZDpnhZq1LEm166ddHt/rwqIioOTFIIiLPl9cIoWU4OqXoxdu/M0giChkMkojI8+U1QmgZjlOZJPNwW5p5uC1/r95sk4iCDoMkInIky2tIk8Q6prdrIbgMh7UNQK55uC0uxRwkasDxnb49OCJqFgySiMjJX4YwYOx0p2dGZsCH4jIclkzS8eIKFJdX2dclHdniwyMjoubCIImInOt5CXDZbIfNR5CMmnHvhVyX6YToCKTER9Uq3u6tX3OGG1FQYpBERHWL0RezlaG330a+hKsrH8W1sW8ivPelIXnWrHVJuZY2AAySiIIZgyQiqtsB8xT/zn/ExsQ/Yq2pJzJTWoTsGetcZxuAbYDm2FOKiAIbgyQiqpulD1LWcBw0L2ybGUJrttXVBsAaJKV0BYwRQEUhUHjQtwdHRE2OQRIROVdZCmRv1H/OGor95iApK4SDpM6ta3XdDo/k8iREQYxBEhE5d2g9YKrWp/q3zMIBc5DUPoSDJEsmaW9uKUyWaX7WGW7svE0UbBgkEVEDQ23DAIMBB/LMQVJy6AZJ7ZJiEBFmQEW1Cec8/wNW7c7l8iREQYxBEhHVX7TdfihKKqqRV1qJUM8khYcZrb///ryTmLF4JzTOcCMKWgySiMhRdSVw8Gf956zh1ixSq7hItIiOCOkzlhhz6vfffKgQa0rT9Rv5vwOV+nkiouDg8yBp1qxZ6NixI6Kjo9G/f3+sXLmy3v2XL1+u9pP9O3XqhNdff93u/n/9618YOXIkkpKS1OXcc8/FunXr7PZ54oknYDAY7C5paWnN8vsRBaScTUB1GRDTShUmH8jXZ3OFchZJaJqGgyfKrLeNBuCZFXnQYlMAzQQc3+HT4yOiIAqS5s2bh0mTJuGRRx7Bxo0bVXBz/vnn48CBA07337t3Ly644AK1n+z/8MMP495778X8+fOt+/zwww+45pprsGzZMqxZswbt27fH6NGjcfjwYbvn6tWrF3JycqyXLVu4rACR1f4f7euRWLStrNidq5YlsZDa7c2Hi1CQ0E3fwM7bREEl3Jcv/sILL+Dmm2/GLbfcom7PnDkTixcvxuzZszFt2jSH/SVrJEGP7Cd69OiB9evX47nnnsOVV16ptn3wwQcOmaVPP/0U33//Pa6//nrr9vDwcGaPiFwp2gawdk++ujY4X+82ZLJIzy/ZpbJH1vXrzNmk5QWtcZnc4Aw3oqDis0xSZWUlNmzYoLI8tuT26tXmP9C1SGao9v5jxoxRgVJVlXnByVpOnjyp7mvVqpXd9t27dyMjI0MN9V199dXYs2dPvcdbUVGBoqIiuwtRUDLVAAfW6j+3H6qCg3V789TNDftPqNuhmkWSGiTbAEnI7ZVFbfQbzCQRBRWfBUm5ubmoqalBmzbmPy5mcvvIkSNOHyPbne1fXV2tns+ZKVOmoG3btqo2yWLw4MGYO3euylpJpkmed9iwYcjL078InJHMVmJiovWSmZnp5m9MFCCObdc7SEfGA2l9VXBQUlGj7jp0okzdDtUsUl2ZtB1or+93dCuXJyEKIj4v3Jai6dp/jGpva2h/Z9vFjBkz8NFHH+Gzzz5Thd4WUvckw3N9+vRRwdM333yjtr/33nt1vu5DDz2EwsJC6+XgQS5BQEFq/xr9OnMQNGMYnl28025oSYKFUMsmVdaYkF1QVufybL+Z2qIaRhjKC4Ai+/pHIgpcPqtJSklJQVhYmEPW6NixYw7ZIguZgeZsf6kvSk5OttsudUpPP/00vvvuO/Tt27feY4mLi1MBkwzB1SUqKkpdiEKpaFuyRlsPF9kXKh8qVNtHdU1FqIgKD8OCu0cg39wrKqewDLfO3YBwI/DxbUMRHREG7bMuQN4ufcgtsZ2vD5mIAjmTFBkZqabyL1261G673JahL2eGDh3qsP+SJUswYMAARESc6l3y7LPP4qmnnsKiRYvUfQ2ReqMdO3YgPd3c74QoVEmq5ICeSdLaD9WHmGrtEqrZpIyWMejdNlFdzu3RBhmJ0ag2AeVVJrUtIsP8jzEZciOioODT4bbJkyfjrbfewttvv62ClPvvv19N/584caJ1iMt2Rpps379/v3qc7C+PmzNnDh544AG7IbZHH31U3dehQweVeZJLSYl5QUpA7S/9lqSlwE8//YRx48apQuwbbrjBy2eAyM/k7wFKjgJhkVhZ1kFljWqHQrbZpFAlw/tDOunZ67V7zLWMXMONKOj4NEgaP368ms4/depUnHHGGVixYgUWLlyIrKwsdb/0L7LtmSQz0eR+6YUk+0u26OWXX7ZO/7c0p5SZcxL4SGbIcpHhN4tDhw6pXkrdunXDFVdcobJaa9eutb4uUahP/dfa9sdz3+9zyCJZGEI0m2TLEiStsQZJvfVrznAjChoGLZT/yjWCZJ5klpsUcSckJPj6cIiaxud3AJs+RPXwyRjy0zDklug1OM6kxkdh1ZRzVL1OKJKlWs56dhnCjQZsfmI0YsuPAy90BwxG4OEcIOLUZBEiCszvb582kyQi/yzaDu84HAsGDsetc9djW3YRJo7qhIv6ZtjtmhwfGbIBkshsFYO2LWNwuKBM9Y8aeVqavoxLWb6+PElGP18fIhEFegsAIvIThYeBgv16JqTdIMRFhmPnkWJ1158HZ1mLli2X9MQYhDKpSxrcqdWpuiQZg2zdU79zw3vA3pV6Y04iClgMkohIZ57VJg0kEZ2AFbuPo8akoUvreGSG+MK2dTlVvJ0PbF8A5GzU79jwDvDeRcDM3vp2IgpIDJKISM94bDEvFN0yS91etvOYunlO99Y8Q3UYag6S2hxaAu2T64HKUvsdinIA2c5AiSggMUgiCnXyBS4Zj18X6rd3fAltZm8Yd32lbp7TjUFSXdolxSAzMRKPhku3fmdzYMzbFk3h0BtRAGKQRBTqAZJkOoqy7bcX5WBGzXO4LHoDBnRI8tXRBURd0jVph5FhyK+zXYIKlGSpEnN7BSIKHAySiEJ5iG3Rg04zIAbztsfC5yLCwC4h9TmzVYVr51uadBJRQGGQRBSqJLNRO4NUa/mRVtXHmQFpQKeOnV073/HO16QkIv/FIIkoVLma2WAGpF6te5+Do0hWy7U4ZwAS2qoFg4kosDBIIgpVrmY2mAGpnzEM37abpH6sM04a+4zaj4gCC4MkolAlmY0E+y7attQXPjMgLonvdwXuqJqEPGOK/R3GcOCq94CelzTuvSIin2CQRBSqJLPxxyec3qUPHRmYAXHR4I6tsNg0CEPLX0LZtV8Cl7wCGCMBUzWQ2K4J3zQi8iYGSUShTKs5lfGwccyQDO1PzIC4SjqSS8+kKpMB69ALOPN6oNel+p2bPm7St4yIvIdBElEo2zxPvz7rb8ANX2N+xydxdeWjeLHXpzBavuTJrSVK1vyep2/oe7V+veVToLqSZ5EoADFIIgpVsmTG3hX6z32vAjqOxKvHz8BaU0+c0yPd10cXsEuUqMVuRaez9aL3snzgt+98e3BE5BEGSUShaut8QDMBmYOBVh2xN7dUXSLCDBh+Wq0CZGrQ4E6t1PWWw4UoqagGwsKBPn/S79z0Ec8gUQBikEQU6kNtkkUC8NbKPeq6S+t4tIiO8OWRBaR2SbHIbBWDGpOG815YjlW7c4HTzUNuvy4Cyk74+hCJyE0MkohC0bGdwJHNesF2ryugaRq+/OWwuuvEySp1m9w3uIOeTcopLMeMxTuhtekNyKWmEtj2OU8pUYBhkEQUirZ8ol93GQ3EtsKS7UdRUlFj/YJfIVkQcltSXKT1582HCvXz2He8voGz3IgCDoMkolBjMgGb/6P/3OdPKmv09MIddmu2Pb9kF7NJbpLzuNImuLSexz7jAIMROPgTkK8PaRJRYGCQRBRqDq4FCg8AkS2AbuerbMf+vJN2jSStWRBymZyvnUeKHc/jkQig0zn6xk3mOjAiCggMkohCtWC756XQwqPx7KKdDrswm+R+FkmyRnLenJ5Hy5Db5o9lZ0/fOSLyMgZJRKGkugLY9oX+c9+rVPZja3aRw27MJrlHzqNkjfTlXBzP46qIIUBkPHBiH7DuTb3B5N6VgMnc8ZyI/BKDJKJQsnspUF4AtEiHljVcZTnqYmBtkltZJDlfdZ3HZ/97EFpGP33Dt38D5t8MvHcRMLM3sH2BJ+8kEXkBgySiUCAZC8lcrHxev937ClRqBhw+UVbnQ2RUKKegHJU1Ju8dZwCS85NdUFbnKJps757/A7BvpfOu559cz0CJyE/Zr2pJRMFHMhWLHgSKsk9t2/wJojKH4LazemLat7vQITkWr157psNDk+MjERUe5t3jDTByfhbcPQL5pfbrsz2+YCs27C/AJX1aY1rOv2EocfZoiawMwKIpQPcLASPPNZE/YZBEFOwBkmQq1JexjdJctf1kq0cB9MBVAzPRu22ir44y4GW0jFEXW5PO7YoJc9ahaNcKhBlz6nm0BhQdBvavVuvnEZH/4HAbUTAPsUkGqXaApGhq6/i8WTDChIv7ZvjgAIPbiNNS0LVNPBKq8117QMnR5j4kInITgySiYCWZCdshtloM0JBhyMOE9MPIbBXr1UMLBQaDATcN74hjaOnaA+LbNPchEZGbGCQRBSsXMxN/zGTfnuZyWb+22B3VG9laK2hSe+SUAUhoC2QNa7bjICLPMEgiClYuZiZO796t2Q8lVEVHhOGaIZ3wZJWlLsxZoKQBY59h0TaRH2KQRBSsJDMRUfcwmjQ6zAtLRWL3UV49rFAzYWgW/msYjImVk1AZl+Z8p0gOdxL5IwZJRMFKujpXnVqTzZal89Hufo8wg9HM2iRE46K+GVhsGoQpmR8AN3wNXDlHvx54i77TF3cCpXnNfShE5CYGSUTB1CzSstzFka3A15P0+3peDiTYz147oiXjXtNk9D5vgm+ON8RIAbdYsPkojiYPBPqM06f7n/cUkNJNrx/76l5g7wouWULkR9gniSgYm0UawwFTNdDpbGDcnFOz3UqO4v2t5Xh8UyLO79sW8VH8E+ANfdolYlCHVli3Lx9Pf7MD23KK8MTFvTCiSwpwxZvAv84Bdn6tXywksB07Heh5iVeOkYgcMZNEFAzNImtP9ZcASfT+kz6cJpeOI1HT60q8ujcNJhhx6ensjeRNN43ooK6/3pyN346VYMbinWrdNxQcADQnS79wyRIin2OQRBSUzSLNfnjabqX5dXvzcbSoAgnR4RjVLdU7x0nKeT3TkBIfiRrz27X5UCFW7Dpqfg+dMe8oS5bYvIdE5D0MkoiCtFmkYlnuwmzBpsPq+vze6VyTzcuMBiAizP5P7jdfzW/gPbRZsqR23RkDJ6Jmx4IEIn8hX3rmuiHV40im8NsueFr7/uL61gNzbCq5bOdRzPv5oPr50jM41OZtK3bnIqew3G5b+YlsINKFB+9aCHx+m31AZVuz1NBnh4g8wiDJ39T3x87dL1E+NnDOlbPia9svQWf3xya79pmKb6NqX578arvqjRRuNGBQx1ZufSypceT8P79kl8omyXtg4fKSJWtn1V2zNOweYOundX92/PHzzsd671wF4/sQSkHSrFmz8OyzzyInJwe9evXCzJkzMXJk3SthL1++HJMnT8a2bduQkZGBv/3tb5g4caLdPvPnz8ff//53/P777+jcuTP++c9/4vLLL2/U63pFfV+Uwt0vUT42MM5V73HA6lcca4tsvwSd3X+y/r46sgxGZWwaNlR1xablv2Nfnt4zqdqk4cff8zCqK2uSvJlFkhqk2taZuqslS9KQrwIo95g/D6tfdrzL8tm5aq5+258+73ys985VML4PPb0729OgqekVvjFv3jxMmDBBBSzDhw/HG2+8gbfeegvbt29H+/btHfbfu3cvevfujVtvvRW33347fvzxR9x555346KOPcOWVV6p91qxZo4Kdp556SgVGn3/+OR577DGsWrUKgwcP9uh1nSkqKkJiYiIKCwuRkJDQZLOUZG1227+VcksWIoWTRQ30+2D9EuVjA/FcOV+owo7B6Hz2k03YJP8V237JWrIVd1RNUk0Mbcl+vdsm4su7hqtFWKl5yZ/YS1/7EVsOF6r3qbaxYeswO2Km43to/mx4/g4ZgJgkoOyEH33e+VjvnatgfB+gB/6NDJTc+f72aZAkQcuZZ56J2bNnW7f16NEDl112GaZNm+aw/4MPPogFCxZgx44d1m2SRdq0aZMKjsT48ePVCfj222+t+4wdOxZJSUkqmPLkdZs9SJK04szedRZwWt6gOlZ9sn6J1nk/H+vX56op5GktkGwott7O1pLxauTN2BA7EqUV1ThUUObwmPduGsRskhdUVNdg+DP/RW5JZZ37XBH9PzygvY0MQ77de7iwZiBuCV/UqNevZ8U4hX9XgvixQfe30qBnlCZtadTQmzvf3z4bbqusrMSGDRswZcoUu+2jR4/G6tWnZuPYkkBI7rc1ZswYzJkzB1VVVYiIiFD73H///Q77yHCap68rKioq1MX2JHtrllJ9X6zqvjqyDHxsYJyrpjC1agKOohVao0DVuazXuqNnahK+vXMYLpu1GtmFZXa1MJKxkBqZs7qkMJvUzKLCw7Dg7hHIL3UeJMm/U/82vwXOOnIGBhh2Wt/Dn03dMTxiF25B44Kkuj6b/LsSAo/11+Py+G+lzWxP6VjvBT4LknJzc1FTU4M2bexXKpfbR44ccfoY2e5s/+rqavV86enpde5jeU5PXldIhunJJ59EszDPPiLylARIa0097bZJDcysH353WgsjAZPq07M7l9kkL8hoGaMuziz/9Th25EgW0Ii1mv17uKqqG8ri2iC6/GizZSGJAk7J0dDpk1S7JkL+VVVfnYSz/Wtvd+U53X3dhx56SKXmLJeDB/Wp1E1CKveJnJB/U2kGo3VBWof7NX1YRgqAnXlt2e+o62NtMGeTfDjiHvIss97qeo/kvX8x/Gb1s20m0HJbNtX17jVv7pLIh7z4nemzICklJQVhYWEO2Ztjx445ZHks0tLSnO4fHh6O5OTkevexPKcnryuioqLU2KXtpclkDUN5bJrDH0EL+Q6r63tMHiNLTPCxgXuu1Jed5vxLUL4B/9f2z+ra6f0AnqyaoJ7fmfLqmjqPS7bnFJSjsoZfp74i5z67oKze92heST9MrJyEI7Bv23AEyXij6qJ6Pztl4Yl+93nnY71zroLxfTBpQHlsut4OwEt8NtwWGRmJ/v37Y+nSpXbT8+X2pZde6vQxQ4cOxVdffWW3bcmSJRgwYICqR7LsI89hW5ck+wwbNszj121u6l+LYTfhQTytPgTOZinJprrue7vmQtxk/IqPDeBz9Ub1RbgkfDUykG/3JSgB0Ir9QzHKlIzHwuc6vf/3lD/gq6tOd5oJrTaZEG6s+99CyfGR7Lzt9/VKm7HkyCAsrRiAQcZTNUuSPZQvlI3aaXg8wvlnI8pkxEzjC373eedjvXOugvF9eDHs/zDFYPTa8LNP+yRJvyOZii9BjgQ3b775Jg4cOGDteyRDXIcPH8bcuXqvD9n+6quvqsdJGwAp0paibcusNXHffffhrLPOwvTp01XQ8+WXX+K7775TLQBcfV1f/GtyftmZ2Fc1qc4/dqKu+5Zog/CzoTMfG8DnSqbpz6i52umXoEGrwSJtEJbUOP+STD1Zha5pLRjsBGG9ksyMO15cof/rW2qWatWdCfns1BVAGTSgwsC/K6H6WH89rsY89n9l/TG5xuS1v3c+bQEgpFfRjBkzVFNH6YH04osvqiBH3Hjjjdi3bx9++OEHu2aSkiWyNJOUtgC1g5tPP/0Ujz76KPbs2WNtJnnFFVe4/Lq+6JMkKXf1r0lTDeKOrEP4yWOojm2N0rRBOF5arWoWUmLDHe6TaZDWbAEfG9jnKj7K6WfDlWxQeqLzL1kKfNa/DU5IAOXSZ8cfP+98bLOeq2B8H2AMa5K/dwHTJymQNXkzSSIiIvKr72+fz24jIiIi8kcMkoiIiIicYJBERERE5ASDJCIiIiInGCQREREROcEgiYiIiMgJBklERERETjBIIiIiInKCQRIRERGRv63dFsgsjcqlcycREREFBsv3tisLjjBI8lBxcbG6zszM9PQpiIiIyIff47I8SX24dpuHTCYTsrOz0aJFCxhktb5GRrUSbB08eJDrwHkBz7f38Fx7F883z3ewKmrC70nJIEmAlJGRAWM9i4cLZpI8JCe2Xbt2aEryxnOxXO/h+ea5Dlb8bPN8B6uEJvqebCiDZMHCbSIiIiInGCQREREROcEgyQ9ERUXh8ccfV9fE8x1M+Nnm+Q5m/HwH/7lm4TYRERGRE8wkERERETnBIImIiIjICQZJRERERE4wSCIiIiJygkGSl8yaNQsdO3ZEdHQ0+vfvj5UrV9a7//Lly9V+sn+nTp3w+uuve+tQQ+pc//DDD6pjeu3Lzp07vXrMgWrFihW4+OKLVedaOW9ffPFFg4/hZ9s755qf7caZNm0aBg4cqFZVaN26NS677DLs2rWrwcfx8+2dc+2tzzeDJC+YN28eJk2ahEceeQQbN27EyJEjcf755+PAgQNO99+7dy8uuOACtZ/s//DDD+Pee+/F/PnzvXG4IXWuLeQ/yJycHOulS5cuXjvmQFZaWorTTz8dr776qkv787PtvXNtwc+2ZyTYueuuu7B27VosXboU1dXVGD16tHof6sLPt/fOtdc+3xo1u0GDBmkTJ06029a9e3dtypQpTvf/29/+pu63dfvtt2tDhgxp1uMMxXO9bNkyWQZaO3HihJeOMHjJefz888/r3Yefbe+da362m9axY8fUeV++fHmd+/Dz7b1z7a3PNzNJzayyshIbNmxQUbEtub169Wqnj1mzZo3D/mPGjMH69etRVVXVrMcbaufaol+/fkhPT8cf//hHLFu2rJmPNHTxs+19/Gw3jcLCQnXdqlWrOvfh59t759pbn28GSc0sNzcXNTU1aNOmjd12uX3kyBGnj5HtzvaXFKQ8HzXduZb/uN588001lPnZZ5+hW7du6j82qf+gpsfPtvfws910JHk3efJkjBgxAr17965zP36+vXeuvfX5Dm/SZ6M6SUFZ7Q9C7W0N7e9sOzXuXMt/WHKxGDp0KA4ePIjnnnsOZ511Fk9vM+Bn2zv42W46d999NzZv3oxVq1Y1uC8/39451976fDOT1MxSUlIQFhbmkMk4duyYQ8bDIi0tzen+4eHhSE5ObtbjDbVz7cyQIUOwe/fuZjhC4mfbt/jZdt8999yDBQsWqKGcdu3a1bsvP9/eO9fe+nwzSGpmkZGRahq6VOzbktvDhg1z+hiJiGvvv2TJEgwYMAARERHNeryhdq6dkVlxksqlpsfPtm/xs+06yUBLVkOGcv773/+qtiIN4efbe+faa5/vZi0LJ+Xjjz/WIiIitDlz5mjbt2/XJk2apMXFxWn79u1T98vMqwkTJljP1p49e7TY2Fjt/vvvV/vL4+Txn376Kc9oE5/rF198Uc0S+vXXX7WtW7eq++U/i/nz5/Ncu6C4uFjbuHGjush5e+GFF9TP+/fv52fbx+ean+3GueOOO7TExETthx9+0HJycqyXkydPWvfh327fnWtvfb4ZJHnJa6+9pmVlZWmRkZHamWeeaTe18YYbbtBGjRplt798WPr166f279ChgzZ79mxvHWpInevp06drnTt31qKjo7WkpCRtxIgR2jfffOOjIw88lmm4tS9yngU/27471/xsN46zcy2Xd955x7oPP9++O9fe+nwbzAdIRERERDZYk0RERETkBIMkIiIiIicYJBERERE5wSCJiIiIyAkGSUREREROMEgiIiIicoJBEhEREZETDJKIiIiInGCQREREROQEgyQiIiIiJxgkEREBOH78ONLS0vD0009bz8dPP/2EyMhILFmyhOeIKARx7TYiIrOFCxfisssuw+rVq9G9e3f069cPF154IWbOnMlzRBSCGCQREdm466678N1332HgwIHYtGkTfv75Z0RHR/McEYUgBklERDbKysrQu3dvHDx4EOvXr0ffvn15fohCFGuSiIhs7NmzB9nZ2TCZTNi/fz/PDVEIYyaJiMissrISgwYNwhlnnKFqkl544QVs2bIFbdq04TkiCkEMkoiIzP7617/i008/VbVI8fHxOOecc9CiRQt8/fXXPEdEIYjDbUREAH744Qc1i+39999HQkICjEaj+nnVqlWYPXs2zxFRCGImiYiIiMgJZpKIiIiInGCQREREROQEgyQiIiIiJxgkERERETnBIImIiIjICQZJRERERE4wSCIiIiJygkESERERkRMMkoiIiIicYJBERERE5ASDJCIiIiInGCQRERERwdH/A2jvlnSgNnTkAAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bond.plot_target_distribution(state=state)" ] }, { "cell_type": "code", "execution_count": 4, "id": "64e2a89e-64d7-4ab0-921d-05f4f902b699", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "---Optimization: 1 of 15---\n", "Starting simulation 0 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 0 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 1404450.9860650373\n", "\n", "Force: A-A, State: single-chain, Iteration: 0, Fit score:0.399579\n", "\n", "---Optimization: 2 of 15---\n", "Starting simulation 1 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 1 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 1453044.8554946892\n", "\n", "Force: A-A, State: single-chain, Iteration: 1, Fit score:0.532632\n", "\n", "---Optimization: 3 of 15---\n", "Starting simulation 2 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 2 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 1411070.1273631896\n", "\n", "Force: A-A, State: single-chain, Iteration: 2, Fit score:0.653474\n", "\n", "---Optimization: 4 of 15---\n", "Starting simulation 3 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 3 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 1452871.746293724\n", "\n", "Force: A-A, State: single-chain, Iteration: 3, Fit score:0.751368\n", "\n", "---Optimization: 5 of 15---\n", "Starting simulation 4 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 4 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 1451062.90357687\n", "\n", "Force: A-A, State: single-chain, Iteration: 4, Fit score:0.794526\n", "\n", "---Optimization: 6 of 15---\n", "Starting simulation 5 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 5 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 1442214.7803939553\n", "\n", "Force: A-A, State: single-chain, Iteration: 5, Fit score:0.859579\n", "\n", "---Optimization: 7 of 15---\n", "Starting simulation 6 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 6 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 1442759.942058761\n", "\n", "Force: A-A, State: single-chain, Iteration: 6, Fit score:0.897895\n", "\n", "---Optimization: 8 of 15---\n", "Starting simulation 7 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 7 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 1436876.5751759456\n", "\n", "Force: A-A, State: single-chain, Iteration: 7, Fit score:0.914105\n", "\n", "---Optimization: 9 of 15---\n", "Starting simulation 8 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 8 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 1461761.7737602068\n", "\n", "Force: A-A, State: single-chain, Iteration: 8, Fit score:0.950526\n", "\n", "---Optimization: 10 of 15---\n", "Starting simulation 9 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 9 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 1450679.7885489142\n", "\n", "Force: A-A, State: single-chain, Iteration: 9, Fit score:0.944421\n", "\n", "---Optimization: 11 of 15---\n", "Starting simulation 10 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 10 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 1450540.90670411\n", "\n", "Force: A-A, State: single-chain, Iteration: 10, Fit score:0.950947\n", "\n", "---Optimization: 12 of 15---\n", "Starting simulation 11 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 11 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 1453171.5469011115\n", "\n", "Force: A-A, State: single-chain, Iteration: 11, Fit score:0.954526\n", "\n", "---Optimization: 13 of 15---\n", "Starting simulation 12 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 12 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 1443234.6930528455\n", "\n", "Force: A-A, State: single-chain, Iteration: 12, Fit score:0.977684\n", "\n", "---Optimization: 14 of 15---\n", "Starting simulation 13 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 13 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 1445491.9442733945\n", "\n", "Force: A-A, State: single-chain, Iteration: 13, Fit score:0.965263\n", "\n", "---Optimization: 15 of 15---\n", "Starting simulation 14 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 14 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 1446654.6112115732\n", "\n", "Force: A-A, State: single-chain, Iteration: 14, Fit score:0.973053\n", "\n" ] } ], "source": [ "optimizer.run_optimization(n_iterations=15, n_steps=5e5, backup_trajectories=False)\n", "bond.smooth_potential()" ] }, { "cell_type": "markdown", "id": "6f493b2b-3951-4745-94cf-1b5498c1c805", "metadata": {}, "source": [ "### Examining the results\n", "\n", "- Here we will view the evolution of the potential obtained from MSIBI (`bond.plot_potential_history`)\n", "- Compare against the known potential used\n", "- Compare the target bond-length distribution against the distribution obtained from MSIBI." ] }, { "cell_type": "markdown", "id": "e919fcc9-f247-4f41-bfdf-bcc628f90948", "metadata": {}, "source": [ "In most cases, the coarse-grained potential is not known ahead of time (hence the need for MSIBI, and other coarse-graining methods). However, for the purposes of this tutorial, we know that the target trajectory obtained from a simulation using a harmonic bond-stretching potential with the form of:\n", "\n", "$V(x) = \\frac{1}{2}k(x - x_0)^2$\n", "\n", "where the parameters used were $k=500$ and $x_0 = 1.1 \\sigma$. Below, we plot the final potential obtained from MSIBI against the known potential, and see that MSIBI was able to recover the bond-stretching potential purely from iterative adjustments in formed by comparisons between bond-length distributions." ] }, { "cell_type": "code", "execution_count": 5, "id": "3853eca3-5526-428d-ad6b-d71698c334fa", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Energy $[\\\\epsilon]$')" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(bond.x_range, bond.potential, label=\"MSIBI\", marker=\"^\")\n", "plt.plot(\n", " bond.x_range,\n", " 500 / 2 * (bond.x_range - 1.1) ** 2,\n", " label=\"$500 * 0.5(x-1.1)^2$\",\n", " marker=\"o\",\n", ")\n", "plt.ylim(-5, 150)\n", "plt.legend()\n", "plt.xlabel(\"Bond length [$\\sigma$]\")\n", "plt.ylabel(\"Energy $[\\epsilon]$\")" ] }, { "cell_type": "markdown", "id": "d228e15f-9fa5-4d1b-aa70-4ffdb5bfd590", "metadata": {}, "source": [ "Here, we can compare the final bond-length distribution obtained from MSIBI against the target" ] }, { "cell_type": "code", "execution_count": 6, "id": "eaad57c3-14fc-4df0-9589-85b16506ef19", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bond.plot_distribution_comparison(state=state)" ] }, { "cell_type": "markdown", "id": "ee98cbab-074b-4834-a8f3-a510e2484a9e", "metadata": {}, "source": [ "----------------------------------------\n", "## 2) Optimizing a bond-bending potential:\n", "\n", "Many of the steps in this section are the same as in (1) optimizing bonds. However, there are a few differences.\n", "\n", "- We use the `set_harmonic` method for the `A-A` bond. We could have saved the table potential from the last step and used `set_from_file` to create the A-A bond potential, but this illustrates another option for setting the potential for a `Force` object. In this case, the potential obtained from MSIBI fits nicely to a supported bond-stretching potential in HOOMD-Blue, so we opt to use this instead. Note, that `optimize=False` is now used for the `Bond` force.\n", " \n", "- An `msibi.Angle` force is introduced, and the `set_polynomial` method is used to create an initial guess potential.\n", "\n", "- After optimization is finished, the table potential file is saved to a .csv file with `angle.save_potential(\"AAA_angle_potential.csv\")`. This will be used in the next step." ] }, { "cell_type": "code", "execution_count": 7, "id": "d34c76d6-4360-4f4f-9e78-404a27e64b7c", "metadata": {}, "outputs": [], "source": [ "# Remove the states directory created by the previous run\n", "!rm -r states/\n", "\n", "optimizer = MSIBI(\n", " nlist=hoomd.md.nlist.Cell,\n", " integrator_method=hoomd.md.methods.ConstantVolume,\n", " thermostat=hoomd.md.methods.thermostats.MTTK,\n", " thermostat_kwargs={\"tau\": 0.1},\n", " method_kwargs={},\n", " dt=0.0001,\n", " gsd_period=500,\n", " seed=50,\n", ")\n", "\n", "state = State(\n", " name=\"single-chain\",\n", " kT=4.0,\n", " traj_file=os.path.join(str(target_data_dir), \"single-chain.gsd\"),\n", " n_frames=100,\n", " sampling_stride=2,\n", " alpha0=0.4,\n", ")\n", "\n", "bond = Bond(type1=\"A\", type2=\"A\", optimize=False)\n", "bond.set_harmonic(k=500, r0=1.1)\n", "\n", "angle = Angle(\n", " type1=\"A\",\n", " type2=\"A\",\n", " type3=\"A\",\n", " optimize=True,\n", " nbins=60,\n", " smoothing_window=3,\n", " correction_fit_window=7,\n", " smoothing_order=1,\n", ")\n", "angle.set_polynomial(x_min=0.0, x_max=np.pi, x0=2.3, k2=80, k3=0, k4=0)\n", "\n", "optimizer.add_state(state)\n", "optimizer.add_force(bond)\n", "optimizer.add_force(angle)" ] }, { "cell_type": "code", "execution_count": 8, "id": "db3af83f-9b80-4aff-a198-651cd1aa108d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "angle.plot_target_distribution(state=state)" ] }, { "cell_type": "code", "execution_count": 9, "id": "e03ace8b-8082-48f2-b64b-1d808756facd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "---Optimization: 1 of 12---\n", "Starting simulation 0 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 0 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 933386.1007608962\n", "\n", "Force: A-A-A, State: single-chain, Iteration: 0, Fit score:0.380000\n", "\n", "---Optimization: 2 of 12---\n", "Starting simulation 1 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 1 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 939480.5424184859\n", "\n", "Force: A-A-A, State: single-chain, Iteration: 1, Fit score:0.591111\n", "\n", "---Optimization: 3 of 12---\n", "Starting simulation 2 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 2 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 942134.1222136383\n", "\n", "Force: A-A-A, State: single-chain, Iteration: 2, Fit score:0.708148\n", "\n", "---Optimization: 4 of 12---\n", "Starting simulation 3 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 3 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 944959.8675544249\n", "\n", "Force: A-A-A, State: single-chain, Iteration: 3, Fit score:0.808889\n", "\n", "---Optimization: 5 of 12---\n", "Starting simulation 4 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 4 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 940898.4074353556\n", "\n", "Force: A-A-A, State: single-chain, Iteration: 4, Fit score:0.884074\n", "\n", "---Optimization: 6 of 12---\n", "Starting simulation 5 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 5 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 939711.8467593096\n", "\n", "Force: A-A-A, State: single-chain, Iteration: 5, Fit score:0.922593\n", "\n", "---Optimization: 7 of 12---\n", "Starting simulation 6 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 6 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 936562.8517964212\n", "\n", "Force: A-A-A, State: single-chain, Iteration: 6, Fit score:0.951481\n", "\n", "---Optimization: 8 of 12---\n", "Starting simulation 7 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 7 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 945306.4589009112\n", "\n", "Force: A-A-A, State: single-chain, Iteration: 7, Fit score:0.948889\n", "\n", "---Optimization: 9 of 12---\n", "Starting simulation 8 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 8 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 940714.3031846943\n", "\n", "Force: A-A-A, State: single-chain, Iteration: 8, Fit score:0.936667\n", "\n", "---Optimization: 10 of 12---\n", "Starting simulation 9 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 9 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 933499.3717549229\n", "\n", "Force: A-A-A, State: single-chain, Iteration: 9, Fit score:0.955926\n", "\n", "---Optimization: 11 of 12---\n", "Starting simulation 10 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 10 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 936754.1095402787\n", "\n", "Force: A-A-A, State: single-chain, Iteration: 10, Fit score:0.968148\n", "\n", "---Optimization: 12 of 12---\n", "Starting simulation 11 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4\n", "Running on device \n", "Finished simulation 11 for state ; Name: single-chain; kT: 4.0; Alpha0: 0.4. TPS = 936063.1430753793\n", "\n", "Force: A-A-A, State: single-chain, Iteration: 11, Fit score:0.983333\n", "\n" ] } ], "source": [ "optimizer.run_optimization(n_iterations=12, n_steps=5e5, backup_trajectories=False)\n", "angle.smooth_potential()" ] }, { "cell_type": "code", "execution_count": 10, "id": "6a9ea3f8-75a8-44d5-82c1-01afcdcb965a", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "angle.plot_potential_history(ylim=(-2, 100), xlim=(1, np.pi))" ] }, { "cell_type": "code", "execution_count": 11, "id": "ce370111-738f-42ec-853e-440742723f09", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Energy $[\\\\epsilon]$')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(angle.x_range, angle.potential, label=\"MSIBI\", marker=\"^\")\n", "plt.plot(\n", " angle.x_range,\n", " 250 / 2 * (angle.x_range - 2.0) ** 2,\n", " label=\"$250 * 0.5(x-2.0)^2$\",\n", " marker=\"o\",\n", ")\n", "plt.ylim(-5, 100)\n", "plt.legend()\n", "plt.xlabel(\"Bond angle [rad]\")\n", "plt.ylabel(\"Energy $[\\epsilon]$\")" ] }, { "cell_type": "code", "execution_count": 12, "id": "1493c618-ed43-4378-b1f0-55cee4c7bff3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "angle.plot_distribution_comparison(state=state)" ] }, { "cell_type": "code", "execution_count": 13, "id": "dc3db2ab-0198-4855-b7a6-2f6d2f61e774", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "angle.plot_fit_scores(state=state)" ] }, { "cell_type": "markdown", "id": "d43ede11-e88a-4492-b3a8-e0fdeb22e0c1", "metadata": {}, "source": [ "For this example, we will use the `save_potential` method to create a .csv file of the derived angle potential." ] }, { "cell_type": "code", "execution_count": 14, "id": "24bb2767-f1d4-492f-ba88-c2023c5b6712", "metadata": {}, "outputs": [], "source": [ "angle.save_potential(\"AAA_angle_potential.csv\")" ] }, { "cell_type": "markdown", "id": "5f580e4b-b0ca-40dc-9b9e-7abe0c0572e0", "metadata": {}, "source": [ "## 3) Optimizing a pair potential" ] }, { "cell_type": "markdown", "id": "369aefa8-8e6b-49b5-8bdf-82b49e41531f", "metadata": {}, "source": [ "Here, we learn the non-bonded pair potential from a target simulation of a \"bulk\" system containing 50 chains with 6 beads each. We follow the same procedure as the previous step to set the bond-stretching potential, use then use the `set_from_file()` method to set a bond angle table potential obtained in the previous step." ] }, { "cell_type": "code", "execution_count": 15, "id": "b252d7e6-1b5e-48ed-b5be-5131ffa98d94", "metadata": {}, "outputs": [], "source": [ "# Remove the states directory created by the previous run\n", "!rm -r states/\n", "\n", "optimizer = MSIBI(\n", " nlist=hoomd.md.nlist.Cell,\n", " integrator_method=hoomd.md.methods.ConstantVolume,\n", " thermostat=hoomd.md.methods.thermostats.MTTK,\n", " thermostat_kwargs={\"tau\": 0.1},\n", " method_kwargs={},\n", " dt=0.0001,\n", " gsd_period=1000,\n", " seed=50,\n", " nlist_exclusions=[\"bond\", \"angle\"],\n", ")\n", "\n", "kT = 3.0\n", "state = State(\n", " name=f\"{kT}kT\",\n", " kT=kT,\n", " traj_file=os.path.join(str(target_data_dir), \"3.0kT.gsd\"),\n", " n_frames=200,\n", " sampling_stride=4,\n", " alpha0=0.7,\n", ")\n", "\n", "bond = Bond(type1=\"A\", type2=\"A\", optimize=False)\n", "bond.set_harmonic(k=500, r0=1.1)\n", "angle = Angle(type1=\"A\", type2=\"A\", type3=\"A\", optimize=False)\n", "angle.set_from_file(file_path=\"AAA_angle_potential.csv\")\n", "\n", "pair = Pair(\n", " type1=\"A\",\n", " type2=\"A\",\n", " optimize=True,\n", " r_cut=2.5,\n", " nbins=80,\n", " smoothing_window=11,\n", " smoothing_order=2,\n", " r_switch=1.5,\n", " correction_fit_window=7,\n", " exclude_bond_depth=3,\n", ")\n", "pair.set_lj(r_min=0.1, r_cut=2.5, epsilon=0.8, sigma=1.2)\n", "\n", "optimizer.add_state(state)\n", "optimizer.add_force(bond)\n", "optimizer.add_force(angle)\n", "optimizer.add_force(pair)" ] }, { "cell_type": "code", "execution_count": 16, "id": "94f68b1f-c55b-41ce-ba95-5480e981f241", "metadata": {}, "outputs": [ { "data": { "image/png": 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jMTHR6WvCwsLUzd2uKEtg4+r9yH9FRERYzxn5G7OLiohIn/xqbanevXtjzZo1dttWr16NHj16OK238ZSlxkYyNqRPlr8t66mIiPTLq8FNUVERfvnlF3WzDPWWnw8fPmztUho5cqR1/zFjxuDQoUOqm2nPnj14++23VTHxY489Vqft4ppT+sW/LRGR/nm1W0qGcV955ZXWx5bamFGjRmHBggXIyMiwBjqibdu2WLFiBR5++GG88cYbavK///znPxwGTkRERL4R3FxxxRXWgmBnJMBxNGDAAPz000/13DIiIqLAs/FANp79YheeHdoZfc9Pgr/yq5obct3VUtNt9OjRXjt0bdq0sU66SEREvkvTNLy4ai9+yypS9zUlH3wdg5t6joCvfmWduq9P0n1nuUkgIQuC2m577bXXPHq/srKyemsrERH5pvUHsrH9aL76We7lsb9icKODCFiGyFtucXFxKltjeSyjyKQQu0WLFmqkUNeuXfHBBx9U6x588MEHVc1TUlISrrnmGrV92bJlOP/889UQaqmNevfdd9V7205wmJaWhv79+6t9ZP4gWetL1gyzvK8UgEuNlCWLREQUKBrqC25d0DQNM77aa31sNAAvr97nt9kbBjfuTP5WVuHxbc3u43YRsDz29D3q4qQqKSlRq6gvX74cO3fuxH333YcRI0bghx9+sNtPAheZL2jTpk2YN28e/vzzT9xyyy248cYb1Qi2+++/H5MmTbJ7zY4dO9TyF3/961+xfft2LF68GBs3blSBkvj0009VUDV16lRrFomISFdMlcAfG4AdS8z38tjHung2uhFkSZZmd8aZ5YlM2lmyN6ZK7Ni4HM/PmKruLZ/b1fFoaH41iZ83nC6vRKdnVp3z+9z33jaPX7N76rWIDD23P1Hz5s3thsqPGzcOK1euxMcff4xevXpZt5933nl48cUXrY+ffPJJXHjhhZg5c6Z6LD9LcPT8889b95Hnbr/9dowfP149liyPjF6Tou85c+YgISFBTZQXExOjskhERH5dQCsX6kNpQNFxIDoFKM4BVk0ECtLP7BPbDBg0A+uDe1fr4hlwQWM0NM0hyOpzXh+nM/0//+VuGGFCT+NeJCMPWWiELaYOanv/9n2wc/NKLNv0E4b16Yau8RXQVk1E14J0dJU3WAtoW5rB0OUWYOcSp8cDnYY16OdmcKNzMuvy9OnTVVbl2LFj1oVEo6Ki7PaTiRBt7du3D5dddpndtp49e9o93rZtG3777TcsWrTI7n8Sk8mk5iySVduJ9Dwig/ybywu/YxDTOhXY+yWwcoL9hduZggxoH43EusgnYUBXaDZdPP3PT2rw7vn1TupoBpyXYPf51pWch7YnvsGCsIVoZsi1vjZdS8Cy7FQUv3gvupYePxPIOPtFclzS/uNkewbw0Uhg+MIGDXAY3JxFREiQyqB48j/LrfO+V+k9SetZyMndqWksFt9/udsnt/zuc/Xyyy/j1VdfVYXGUm8jQY1kWhyLhh2DHfkcrtbxspAgRrqrpM7GUatWrc657eRHJEWd9tWZb3apgwFjUK2/SRJ57cJfsbl6EBMRD5w+qS7qtmeq42PLVtl+z6l52GMcg8YoMGdBjnZo8OyNpmmYuWIXLjfuVtmYE2iEzcu2o79xIQw2n+9SRGNASFG1oKUJcnF/8HKgpPoHdfzchhqOh9q68kmgwxCX/y7UNQY3ZyH/6HrSNbRu/wnsTD/Tb2khgY5s33oor0FP7g0bNuCGG27AnXfeaW6HyYQDBw6cNavSoUMHNWGi46SLtrp164Zdu3apLi1XQkNDVfaIdGz3MmgrJ1RPUbtIRTu9oHghXU+BTS78zy7bZbdt/Wfz0b94OgyOl/nTJ11e0F0Vs0oG5IPQF6zbMrQELPhiDPo/8kSDBfM/r16IN08+i2ahZ7IxWmH1hsdqReZ2O2yXx/Kd1rG5rlrv+lNpQMExc7aobT80BBYU1/H/LJJ6dHXeGrxQfS6Bh6zHJaOaZMkKybQ4Lj7qjOy3d+9eTJgwAfv378dHH31knVTR8j+mPLd582aMHTtWFR1L0CQjrKSux3aem/Xr16susexs3x8xQB7avcyccnZM1atU9Ajguxl2hYVy7j+3fLduRmSQf7EU1m44cAJPLd2BQ9mFKqsxzJiG3sadKtviotPlnKUgFxMKXsCfn06uXmxbD0W4pduX4pK0h1T2xVG1IM1QPYCxfa7OSDdYA2Hmpg6VVZqQnndaRbrOyPaMvBK1X1hww6Tmnn76aVX/IqOaZCi4jJaSEVD5+eZvzq7IUhdLlizBo48+qubJkUVLZbTUAw88YF1l/aKLLsK6devU9n79+qkLVPv27XHrrbda30dGSkmgJNul1ocXMR2Rf4BXTlBJ+OrfaM2pecN3L9gVFu6+eBJ+y4p3OiKD2RuqT7bdoePe/wm9StOw0aHGpD5ZsiBtd7wG7LAptq2rIlybruEhl1+MFuseRYKTbIxXe4ClfqmBGLQAu9oUFBSouWDk4i6T3TkOm5ZAQC7s4eHhtXp/CW5yT7meBC8xOhRN4yLgj2Sk1Ny5c3HkyBH4q7r4G1MV+Yb57vVuHw5zCKRhTNl4rDKdKU6Xf3y7NI/D52NZe0P1R0oGRr29Rf18rXEL5oSYZ053vPg3JOc1Kjiz9ZYF2JEXbF/LJpwUO0vXsG0djTc468JS22GAQQK28TvOqeampuu3I2Zu6lizRhHqpgezZ89WI6YSExPV/Dcy9Nsyhw2RpylmyeZIpmZyyHtYU9oDpqpecWZvqL7Jd/jpX+1RP8tw58khC+sssHF1QXdHjTUq8t9P/o6umulMLdumeAkTgNO51YqdGzxg0ey3y//HBlfb5fGg6Q1WTCxYc0MuSQ2NFCN36tQJzz33nOqievbZZ3nEqNYpZrmYNDPkqLk0vF2PRoFDuj33ZeSr+prxQUtUV5SngY2cmo6np+2I2Ppg0Ez2GySIsQ1sqra5zgC5z9lHsfx2dz53RXRTfBR2EzJVZ9gZmUjE9JiJ0DoORUNi5oZckiHkciNyRmvVG0WGaMRUjbTwRKphJ5KNZyYKM2nGBq9Ho8AgAXPaF29jY9jcWtfXWC7meYhGAorsLtxTy+9AHmKrhlrH4pWQuap4uD66uzwfpeScy+xKRIJd8GSKboaT7YYi7uAyhJ7KsAtkMi9/BlHxyUjU8tQXnc2l52PCgm0w4uZqEwGaThiR2sB1dQxuiMh9NpObVZSXIlQrqVVq/qGQz+wmCsvtNxWJl93CwIbq3O5vFqlRSudCgpgp5SPQZ8hI9As9gODiLGQjHodiLsYgQxAaRYYgKdo80KL8j9YwrB1TlU3xvUykyUkwJJ/v3Zj78eT4R2E4vNlazxPcOhWNpSvJNM2uzie0dSpa2XQxqZHCb2xS/wbIF5XvTZ2cZmYbchJDBjdE5P6wb5vJzUKqNh81JSLIoKGpzZDTmtLkjs/JUNWmG8fB0CwOiGvYKdpJ37TKCqRsmqx+djeTIlkM6Vp5tNxmAj5TB2gGIzJ+zsCIsdeqC3RLNfmdE81vAxIiq00E6G7tSn3L1OyzTXbZlYMnMeACJ/PQSCBTw/w0vjhSmMENEbk/n43DN1F51NyQg39HTsDTw/vh9z8PYunaDXg4eIn6F9v2m6slqHH8d1wuOiYZT9HAM5hSAGQX8zORZMp2u9/GUmMypXwkNpu62D/pyQVahnDLuXwoDVphJt7/6lv8v+JF6iJvdKMIt66YNCDHmIikO98GTp3ApLUnsPhES1Rq1cttzyW7Isdj2YN9zzpSuCG7nBncEJFb89k4Kzk0VF0Q/lm5AGg9AW3b9MXybW2wP7cFXo39AJElZ0ZU1fTPpfqnVmYw/XYa0G6AeXgrgxyqo+yiu6TGJP3yyRjXdjDOTEVaywt0VbajrKISry5rhPXljdUorWY2GU7pDlpW0RvDgtPstkvwIaO63I0xLBkTxzoaMdNwF55rbc66rF72DSq1snrJrvjaSGHOc2ODc6DoH//G9Tifzajl6h/z/359AC+v2Y8+7Rph0TUm9Q16w6aN6Jf5jvu/00srCZP+sotu6fd4vQbV1vnPTJWIytyianYqIpNRlHIZHlmyE3+cKEAPw5ki3HgU4o2Q19RrbTM9ToOYqi8OlWHxCC49MyS8LKopMns/i5CuN1jnVvP3edg4zw0RNfx8NlX73XhpcxXcpP2Rh2PxV6FZm3AsXpYOj1aU8dJKwuSni7WmXoKuPzrPLqLGbh+DOZC+cmK9ZgrtshotB9lNLHggS0ZfGfG9Zl+E+0D5eLwS8wGiSs/8/1caEofi8kr7EVtaIk72n4rOV/6/Got+fTG7Up/YLUVeI/26S5cuVctB1KUrrrgCl1xyiVoJnRpwPpuq/VomROLydgn4/vdcfPbzMaS2T8SKwrbIDEtAiuGkmyNIvLOSMPnpYq1f17y7y8AGDT+5nLO1CJ0V4q7WeuKO6Kuw9DYDDEVZ0KKTcdtyTS3AbJvl2ap1QKc98fj8KiMMDbQopT/gJH71pR4WQjubrKwstY5Tq1at1PpPTZo0UWtKyeKW3iQT/0mwQX5KUvXy7dZF1YxaViG2uXm/Kjd3a6HuP9l2FF9uz1CzES9vPr7qHdwtVrRZSZjobIu1ekrOaS9mBt0ZYXQsvxxlLfsAXW/B+vKO+OVYESqqhlovM6Wqe3lsWZ+NzmDmpgGK2hqqhuDmm29GeXk53n33XbRr1w7Hjx/H119/jdzchlkYjnRKvtXKuSurfDtwNbX64K5N8cznu/B79in8sfEPta1F6nDA2Lb6/xs+tJIw+e9irW659gVzhtGyJpMXM4KejDA6W5bHG/PI+DpmbhrqW4WlhkCerwd5eXnYuHEjZsyYgSuvvBKtW7dGz549MXHiRAwZMkTtIyf9vHnzcP3116sVwjt27KiyOr/99pvqyomKilKrfx88eNDuvefMmaNW9Q4NDcWFF16I9957z+75w4cPq2UaoqOj1WJmw4cPV4GVWLBgAaZMmYJff/1V/X65yTaL7Oxs3HTTTao9559/PpYtsz8+u3fvxnXXXafeOyUlBSNGjFCvsTh16hRGjhypnm/atClefvnlejm+AU+C8k43VTsMuUGNYXDy7Tc6LBjXdk4508FkgHl2Utlv/E5z8XH/x31uJWHycZLFK0j3fEZe+Y9kF3uNUVkQNWeLD3R1Sv2LLBrr6mYp7vVkHhkyY3BzNnLWlJ1y71ZSAHz1hIuitqpt8q1V9nPn/TxYZ0cu7nL77LPPUFpa6nI/WSNKgoFffvkFHTp0wO233666siQI2rp1q9rHdnFMqYn55z//qdaV2rlzp9r373//O7799tuqw6OpmhnJDq1btw5r1qxRwdGtt96qnpd7eW3nzp2RkZGhbpbnhAQ+Egxt375dBTF33HGHNdMk+w4YMEB1aUnbVq5cqYIm2d/i8ccfV22Rdq5evRrfffcdtm3b5vZxIw+cNGdg0Gc8ZidOxG1l/8LSAStcZiMvSImx/iyn8pY/T9pPCHbFRJXRdPUdXJ39UcnYceQknp8xFTs2Lm+Q7l3y0eLhjcux9P3Znr9UnUgGr9XW1GWWZ/k417dl4/pwhm8bHAp+tmHCEmS8IPUGXvBUOhAa5fbun3zyCe69916cPn0a3bp1U4HBbbfdhosuukg9L1mTf/3rXyrAEd9//73K1MyfPx933XWX2vbhhx+q4EXeQ/Tp00cFJm+++ab190hwIRmTL7/8UgUzgwcPVsetZcuW1myLvGbLli1qVXGpuZGgSwIqW47tkfeMiYnBihUrMGjQIDzzzDP44YcfsGrVKutrjh49qn7Pvn370KxZM7Vi+cKFC60BkwRGLVq0wH333ee0oJhDwWtJMo+vdFA/rh+WhpEf/al+XvvIAJyXHF1tdwl6h72+CTuO5Vf9rYGuzePw+dg+dmlzbffnKqPpOLmZZXSLBiMM1qnVAC22GQwcIh6QxcOGWtbYyFwyyX97FcbON9R508h3h4Izc6MjUnOTnp6uunakkFiyGBLk2HYDWQIdId08omvXrnbbJACQk0js2bNHBTi25LFstzwvwYYlsBGyinijRo2s+9TEtj3SLSbBjRRGC8nASFbGkpWSm2SbhGSH5FZWVqYCNIuEhATVdUZ17MBqdac1746nvzb/fUKDDGiXFOl0dylutAQ26nUanBY9rg9OxZiy8dVWEs5DlDnAsQlsGqJ7l/y7eFiyNCcMidBGfI6l7aao7OJLHZcwsAlALCg+m5BIcwbF3f7gRbecfb87ltiNLKnxd3tIMk7XXHONuknm45577sHkyZMxevRo81uGnJmz0/IN2tk2k+nMRcWxQE2+lVu22f7sap8aP6LN77b8LsvvlvuhQ4eqOiJHUl9z4MCBs74/1d7GA9l49otdeHZoZ/StCm7+TOiHQweL1c9llRo2/JZTbaVfS/GjWlbBpmfV6FD0aNlvh9YTa0p7WFcStqysDJyq1iYZRi7dWFyqQWfn1/lJHhcPO1vZWjxXOQozW/fDG58b8JupCG90bFp/H4J8FjM3ZyP/90jXkDu39lfVOGTWPGFUc/N+7rxfHVS9SxZFuntqS4qOpVDZVlpamtpueX8pKD5y5Ij1eemWkrShZR8pRK6s9LxWQrJOu3btQps2bXDeeefZ3STLI/cSHEn3msXJkyexf//+Wn9eMpPA48VVe/FbVhFeXbkd2kFzjdVz+1tWC1ZkX1uSnZEsjW1gI0wO2RvbIkkZKm4Z3ipdUU0NuS5PfzVPDoeI6+b8knvHc8id4mHH8+NUeIqa+G5FRQ/M+e6gem85R50GTqR7zNzUy5BZmQJcLYfWYBNG5eTk4G9/+5uqnZGuHunekSLcF198UY1kqi0p2JUaGwk0/vKXv+CLL77Ap59+irVr16rnr776avX7pBBYalwqKirwj3/8Q9X79OjRQ+0jwYnU5EjNjdTDSNtkHp6zGTt2LP73v//h//2//6fakZSUpEZ2SV2QbJduqrvvvls9J7U30qU2adIkGI2M2c+VJUARURnfwxB6CplaPL7Jb+I0WLFkbzwZsupqKGzcbzmAOZaqGYeI6+L8sjuHbBa9RNZe996s531Ax2GIbtUb2qJfULH7OF5ba87qRoQEITacl7lAxL96XZORIzI01uk8N9PrbZ4budD36tULr776qqpFkflupA5GCoyfeuqpWr+vjIR67bXXMHPmTDz00EOq2Pqdd95RQ8eFdC9IsfC4cePQv39/FVhIMfB///tfu1ogCYhkiLoMWZfXW7rJaiIFw5s2bcKECRNUDZGMApMh7vL+lgBG2lVUVIRhw4apoElGZknWiGrPGqBUhedXGX9W27+plIkY7b8uO3Y1eTJkVYIbp9PBl7V1r6FyAZRJMn1gzhJyn2O3pfUcqkgzdzd6WjjccZgafSdn5vM3dUXawWwUlZozxafKKu2CbwocHC1VXyNpbL+B8B9fn8HRUmcn692MentL1SMNG0LHo6XxBO4pexRrTd2dvubdu3paLyDnujifVlmBnOcvREJltt0IKuvzGqAZDDDaZka50Kafnl9m1xq3YG7oa9WW5nC9JpQ5MMoJSkLSpH0wBAVbA6cBM7/F4VzzaE85f7o4GaVH/okLZ/oCy1weRP5WC7HyTHfAeYZjKrAp1UKwydTZ6WscZ0c918X5yjQDZmA0ZuAl6zf7ahc781CqaqOo9vR7A+N+beG6SJW8ylmxuREmTA5Z6LRw2LZ701nx8Ez8Hc9pBlg6uSVLYwlsXHWdUmBgcQIRWclFYFd6gbrgXG7cjXFBS9X2NFNHnEZ4g8yOKt1VDz/0GI5eMw8V0fYjXTSD0cW3ebk0AkmbnsHvWQWui1TJN2ptNPP5NcyYhtFBK9HMkOvyYiR/a8e/t5wXcn48/M9HrRPX2QZOtlwVvpO+seaGiBT5x3/qF7tUF4F8k5YLjkU3429q+8Gkq/Dq8Iurpfgta+DUFZX56XsbkPq3M927RcdhXPWUy8GI0qXR2JSN8cFLkJbeBev3nYcBHc4UQJN3WYKPQcYteMbh/HKLLNfRuIPq5g9tnYpWDjVWtkXKtpi9CUwMbohIKSypwAW53+KNkOozO8egGHNCZuHJohBc0KRvw03zbtu9K8XDbngo+DM8hM+Q/dFcaLe8AkMnzkzrCySzJ+fXi07OL7e0HeCyq58LS5Ijdks5wfSlfvFv63pCtStfXIungxeqzIiz1L5ka6ZFLkKYt/7V8HABTSlIxkejOJuxt8ngij82IGz3J5ga9Jba5LRQ3MXLNcv8YDVMfMqFJckRMzdOZsstLi5GRETtCyLJd8nf1tnMyAj07qjlu3B+6U40C3XdVSDdPkFF6eZuIm8Uy7dOVWtLaQXpbn0rU0Wrcslc+SQMHYa4PVT8rDPnkmfLJ9hMi6HmXHfZrQinXUoGgwZt0DQYavj7uZozqT67Tsm3MbixERQUpNZEsqxtFBkZyeGDOrqAS2Ajf1v5G8vfmsy+23cC+48XYZgxz71D4q3J84xB2H3xJHRcP1atOOXs23+1l8h/LLMZuxGQOc6c2+c8DiE+53WhXOZk3Fv0ckrZCNwenIoBZ9n3XEfpkb4wuHHQpIm5ANES4JC+SGBj+RuT+WI+5Ytd6lBkoVG9dA/VZVsn7mmDZhXj8UzwQjSD+wWpWmGmy2n83Zo5lzxTtS5UbQKbqeV3IltrpM7HLaYOaoRchs1UA0TuYHDjQP7nkUUZk5OT1Sy/pB/SFcWMjT25eP+ZY+6qkwtJupaAJsh1kRWR2odm7i36Wg8sdRXbK3tidaV5oc1Uw048FPLZWV9bHpmMUA9nZnacfZk8ULUulCekC0oyNQsqB6m1xs78YexntSZyB4MbF+QiyAsh6ZnjxVwuKFPKR6pRUfLY/nJev2ujuaN6XUV/lSEoef97hJ0+Xm12W1g+V1RThMq18ixLNTgOJeYQ4nPgYdelWundAFRc/QKWte1f7XnWy5CnGNwQBShn84KsMvVUKyu/HDIX0YaSBlsbzV1O6yqGznSxWK1ZUHkhsHBYjUs1OAZ6Fsze1HLJGQ+DG0PV+dXKy+cX6QeDG6IAVNO8IBLgjNBWo69hN7Ruo2Do+jffXpjSxWK1JVowwg0VQFmR/f5VSzWo11RdTDkBXN2OihLVs39nSEG4ITIJhkHTgJimvn1+kV9icEMUgM42L8iFhqPqvvySEQhtdRl8ngQpMty7KnOwJSsILdc/jCY46eQCW3XZ/WoCEB4HrSgLq9aegBEt7Ws9XKydRe6NirIsAWY5ho7rQu3uPgWdLxrOw0n1gsENUQCyrV/5+zs/4kRRKWb+7SJ0bBKLoOITaLyoQNVBhDZxvlimT7KZzbjr/u8QYThZw84aUJiuuqvkuvsCgAfDElTNkWSu7PZkQavrLqjCDGDlRJejomSrBiOCVK7GTIqGp1aMQPqeNvj8Ko0BI9ULBjdEAUpqV5rGhaOw1DwqsFebRLRKjAQO/qQeGxLaAqFq2jW/E1Ga7fFrZJTY3NBZOHL1PBxrejXufOsHVGrAmyO6o2uLOI7UqaELyhXzqDtTteHdkiFrzBFQVI8Y3BAFsOKySpSUm79VJ8VUDZY+bp73Bil+lLWpg7l45EIsmYZWaZPQapARdzXPw/yjTfFH9ikM7BygcyOZKrEj7Sss2/QThvXphq7xFcDHo9Ua7J500P19YC/kn2e/xhdHQFF9YnBDFMCyi0rVfURIECJDq/45yNptvk/24+CmdSrKo5oiqCjDrZmMLdSuxdnAp/diklyUwxLw3rYHgAFPIODsXgZt5QR0LUhHV3m8FmpCPRly72nlUctWbdGyeVz9tJPICS6cSRTAsovKrN+irayZm07wW8YgBA+ZoQpZLQWstSFdVY/nP4+TWz+Bnsj6WVe/sk7d11gk7ND1ZNDO1M645+yLXhLVBwY3RAEspypzkxgddqZQ9MRe888pXeDPDJ1uwOK2zyMTCbV+D0vWJ3TtRPOx8ddgpYb1s+SxZeVuNdHhwe9UTY2nXU+OJAzSvDzxIwUudksRBbCcqtl+k6KqMje5vwMVJUBwBBDfBv4u5fLh6LunNQbF/I43hjaDIaox8PkD0AoynM5o7CrAiSo5Dvww11zLU8Msx97g6WKf6/cdR2T6ZrVQalZ6I+xe+zs675hWPUtzju3K1BJxsv9UdObEfOQFDG6IAtiZzI1DMXFyB5+5eJ+L3u0SERIcjBWF56H/yghMu6kLLrri34hZdpfqrvKkHgernqpxlmNv8WSxT2335+j48cP4MDTnzLZNNU+45y45nrmIxXPld+I4ErBV64BOe+I53Ju8gt1SRAHMUnOTZOmW0sNIKRvhIUHo3c7cLXUk9zSe/HQ7+nwehTFl48+pu8o6y7HUpvjITNNC7l5ceaaracfG5Xh+xlR1f+qnT1Sbk0w5Dm9SN4GNmFR+Fz439cX3pk6o0IzWYIuooTFzQxTAsh1rbvQwUspBy8Qo+aTq56MnT6v7VeiJNaXmlcVTkItnQt5DPAo9yORU5TpWPmmeGdlLWS7HZSOkVbvSC/C/N1/D3YVz0bUowzrSqVK+yzrJVnk66bIEMmpiPoP9xHxTykdUmwCRszuTtzC4IQpgOdbMTah+RkrZkAzGj3/k2m0LCTKgwqTBpBlVhkGUlIeq1dA966rSgIJj+H35y/hgT4l5HpjUwQ0W6LhaH+xa4xbckz7L/MDms6hZgg11k6F5wjAe9w++DKHFWfj3upP4pvQ8p0tXcHZnCtjgZvbs2Zg5cyYyMjLQuXNnzJo1C/36madQd2bRokV48cUXceDAAcTFxWHQoEF46aWXkJiY2KDtJtKDnFNVmZuoMKC0CDj5hy5GStlmNvZmFtptK5dphx1YVkOfHLIQzWAfDJ1Nu5+eV3PiqHlgtjSDYdAMbAxJxbNf7MKzQzuj7/lJqM+sjREm9DLuRTLycAKxeDZkoXreo3oiN1VEN0Vm72fxWNcb0DTOvDr71EtPY3xVYboznKyPvMGrwc3ixYsxfvx4FeD06dMH8+bNw+DBg7F79260atWq2v4bN27EyJEj8eqrr2Lo0KE4duwYxowZg3vuuQdLly71ymcg0kPmRhUUW4aARyUDUfVzQW5IlsyG0WGuG7nmt0+OxqvDL3YYVdQXuaZ/Iiz/JyRqeWoBTrsiYncUZED7aAQORdyBTvnxWPHFLvT5530wBAXXy2cbZNyCZyQgM3gWkLn1O2CAQVbsvmkucOqEGiUW2joVrRwyU7KMh9yIfIlXg5tXXnkFd999twpOhGRtVq1ahTlz5mDatGnV9v/+++/Rpk0bPPTQQ+px27Ztcf/996tMDhF5ptKkIbfYJrjZr69iYsd6FAuJc2TYdG5xufNRRS2vNt/L3C+bX/do2LjsJ3vecXoR7pCevgKg5OXXEH79zLoZWVW1YGVFfgauy1mD+0I+Ovf3rOo+slu529KjNXgG0G5AnfwOooAYLVVWVoZt27Zh4MCBdtvlcVpamtPXpKam4ujRo1ixYoX65nL8+HEsWbIEQ4YMaaBWE+nHyeIy60UtITJUVyOlHEcRObIUuqpRRa5IhkKGe9vUmrjD8VeGFmdC83Rkle2kenIvj+X1s7oA716PkM/uxRjtI/W7zrX7SXMxR83ufq/7xFB3Ir/K3GRnZ6OyshIpKfYL3MnjzMxMl8GN1NzceuutKCkpQUVFBYYNG4b//ve/Ln9PaWmpulkUFBTU4acg8v+RUvGRoQgOMtqMlPL/YuKyShPS807bFdrWptBV6zgU02MmYnTBXDT1sBbH9hukasZXE4DwOGsXj8uJAJ2tuh0RD5w+WW3XWo10MhjNxcVVso1JmFx6O3K1WFW3Iyt3c44a8ndeLyh2nElTvkm5ml1TanGkS+qZZ57Btddeq4qQH3/8cVV3M3/+fKevke6tKVOm1EvbiXRRbyOzE8vV/vhO3WRuJGBZ9mBf5J5joat0bc070QX/w3/UsHG5+CcZ8vBMyP951B7VrVWYDiwcVvNEgFVrOjkufaCdPllnc9E8ZXgYz90xAKGnT+CXvDD89UvphqqexD/bhIBEvsxrwU1SUhKCgoKqZWmysrKqZXNsAxUpPJaARlx00UWIiopSo6v+/e9/o2nTptVeM3HiRDzyyCN2mZuWLVvW+ech8t85bkKBwkxzZsBgBBpfCD0410JX264t22HjMjrpnuAValHNc+oSUhMBjgCueApIbA9EJpkzNk7WdDLU4Uin8V1vQGhchPp8z7yxCZoh32nfFOeoIX/mteAmNDQU3bt3x5o1a3DTTTdZt8vjG264welriouLERxs32QJkISrvvOwsDB1IyJXI6XCgKyqepuE9kAIR77U1LUlWY4p5SNrMS+Oo6o3/u6Fejg1DcBZRjrVVdcdkS/yareUZFRGjBiBHj16oHfv3njzzTdx+PBh1c1kybrIcO+FC83zNsjw73vvvVeNprJ0S8lQ8p49e6JZs2be/ChEfjvHjVo0U0fFxA3RtXWi8DL8eLAtLt45DeGnM12OOvKOqgacZaRTXXXdEfkirwY3Uhick5ODqVOnqkClS5cuaiRU69at1fOyTYIdi9GjR6OwsBCvv/46Hn30UTRq1AhXXXUVZswwj2ggolrMThwVDBz81rwxNNo8MkcHi2bWe9dWh9HA4BFqaLbMiVNwbC9ivn+pamEGD4ZXnaNqi16qWp7pbo104hw1pFcGrcaxkPojNTcys3F+fj5iY2O93Rwir7nn3R8RtG85Xon9AFElx31yxWu/42ykUx2x/EttNx9NVabIYKnbqWkUFlEAXb+9PlqKiLzjvJxv8UTILBhKXKx4PXwhAxxPSUAoC2lWZXNUkfDnD3g0EWBNI53yEI0EFNktWPluzP14csATLkeZEgUiBjdEgchUibsK56ofDT664rXfkuPV9sz6eJp0EX008pyKjy2rbq8xmVcyt8xHs8XUAaYTRqRyyDaRHQY3RIHoUBqStZwaxhibV7xWGQibCzV5bn1wKt4vq74op6viYwktyyOb4NgVryL4dDbKIxrjgQ1h2H/itHrOMiTdgkO2iapjcEMUgErz0uHWBAnStULnPFfODq0n1pSeybq0NmTi4eAlKsAxVlvTyYDQ62eibafrzH+rikrkrP7GZacWh2wTVcfghigA5QclItmdHaVAlWrNdi4ZDWcmAhT7tRbVsjnZhiQ0/tsrdrVOHLJN5DkGN0QB6FjsJajQEtDEkOti9VyDedSUjLyhWqspMNl2qDP6LqteQ/NO8OVwnJ2GQ7aJPMPghigA5RRXYm75SMwNneXk2ap+EimEZTHxOXMWmEh31VNLd6jlLmyzOdJFJd1Y/c9P4ugnonPg/EsbEel+duJVpp6YnfSv6k9KxobDwOuVLEgpC1NahnhbyGPLgpVEVHvM3BAFoOyq2Ynz4rsCch01BgM3zjGvR8RJ4OqV7YKczqZQ5egnonPH4IYogJdeaBt0wryhUWvgouHebVSA4IKVRPWPwQ1RAC+a2QJZ5g3xbbzboADC0U9E9Y/BDVEAyi4yBzfJlVUrWsebF6ulhsHRT0T1iwXFRAHcLZVQlnmmW4qISCcY3BAFcEFx9Omj5g3M3BCRjjC4IQowJpOG3Kqam7CiI+aNrLkhIh1hcEMUYPJOl6v5VMJRiqBim9FSREQ6weCGKMDkVBUTdww/ad4QFgtExHu3UUREdYjBDVGA1tt0jMg9U28jM8cREekEgxuiAB0Gfl5IjnkDu6SISGcY3BAFaLdUa2NVvQ2LiYlIZxjcEAWYnFPmbqmmWtXsxMzcEJHOMLghCtCam8blGeYNzNwQkc4wuCEKyG4pDXGl6eYNnMCPiHSGwQ1RAHZLNUIRQitPmTc0auXtJhER1SkGN0QBOFqqlaGq3ia6CRAS4e0mERHVKQY3RAG4aGZLg2WkFGcmJiL9YXBDFEBKyitRVFqBlpbMDUdKEZEOMbghCsBh4GfmuGHmhoj0h8ENUQBO4NcuONu8gcPAiUiHGNwQBVi9jWjBbiki0jEGN0QB5ERRKYwwIcXEbiki0i8GN0QBlrlJwUkEowIwBgOxzb3dJCKiOsfghijAam6sc9zEtQSMQd5uEhFRnWNwQxRgo6VaGquCG46UIiKdYnBDFEAOZBWemcCPc9wQkU4xuCEKEJqm4besIusEfhqHgRORTjG4IQoQ6w9ko6TcZA1u9pQkeLtJRET1gsENUYBkbV5etU/9bOmWmr+zUm0nItIbBjdEAZK12X4sH2EoQxPDSbXt2+ORajsRkd4wuCEKhKzN6n0wGmRmYnPWpkgLR54hRm1n9oaI9IbBDVEgZG2O5sOknemSOqI1hkkzqO3M3hCR3jC4IQqArI3BIP+zm9DPuF1tP6VFqMeyndkbItIbBjdEOlZWaUJ63mkMNGzBxrCHcHfwSrW9R9B+9Vi2Z+SVqP2IiPQi2NsNIKL6ExYchNWD8hG//DXJ49g919RwEnNDX0PeoK5qPyIivWDmhkjPTJVIWP80DNBgcHjKsi1+/TNqPyIivWBwQ6Rnh9KAgvQadtCAgmPm/YiIdILBDZGeFR2v2/2IiPwAgxsiPYtOqdv9iIj8AIMbIj1rnQrENlMVNs4ZgNjm5v2IiHSCwQ2RnhmDgEEz1Dip6stIVQU8g6ab9yMi0gkGN0R612kY8ofORyEi7LdLRmf4QvU8EZGecJ4bogBwrOnV2FrZF6OC1wAXXgdc/g9zVxQzNkSkQwxuiAJAdlEZUgx55gftrwLa9vN2k4iI6g27pYgCQE5RKZoYcs0PYpp6uzlERPWKwQ1RAMhRmZuT5gexDG6ISN8Y3BAFgJyiYjRGVbcUMzdEpHMMbogCQGnecQQbTDDJ//JRyd5uDhGRvoOb2bNno23btggPD0f37t2xYcOGGvcvLS3FpEmT0Lp1a4SFhaF9+/Z4++23G6y9RH6pan2pkrAkIIjjCIhI37z6r9zixYsxfvx4FeD06dMH8+bNw+DBg7F79260atXK6WuGDx+O48ePY/78+TjvvPOQlZWFioqKBm87kT8JPpWp7sujuMwCEemfV4ObV155BXfffTfuuece9XjWrFlYtWoV5syZg2nTplXbf+XKlVi3bh1+//13JCQkqG1t2rRp8HYT+Zuw01nqXotmMTER6Z/XuqXKysqwbds2DBw40G67PE5LS3P6mmXLlqFHjx548cUX0bx5c1xwwQV47LHHcPr06QZqNZH/0TQNUWXm4CYoTtaZIiLSN69lbrKzs1FZWYmUFPs0uTzOzDSn0B1Jxmbjxo2qPmfp0qXqPf7xj38gNzfXZd2N1OjIzaKgoKCOPwmRbztVVokkU676KhOW0NzbzSEi0n9BscFgqPYt03GbhclkUs8tWrQIPXv2xHXXXae6thYsWOAyeyPdW3FxcdZby5Yt6+VzEPnyBH6WOW5C41t4uzlERPoNbpKSkhAUFFQtSyMFwo7ZHIumTZuq7igJUiw6duyoAqKjR486fc3EiRORn59vvR05cqSOPwmR7y+9wNmJiSiQeC24CQ0NVUO/16xZY7ddHqempjp9jYyoSk9PR1FRkXXb/v37YTQa0aKF82+kMlw8NjbW7kYUeEsvWGYnZs0NEemfV7ulHnnkEbz11luqXmbPnj14+OGHcfjwYYwZM8aadRk5cqR1/9tvvx2JiYn4+9//roaLr1+/Ho8//jjuuusuREREePGTEPmuvPw8xBqKzQ9imni7OURE+h4KfuuttyInJwdTp05FRkYGunTpghUrVqgJ+oRsk2DHIjo6WmV2xo0bp0ZNSaAj8978+9//9uKnIPJtpSePme+NEQgLY+aSiPTPoEnBSgCR0VJSsyP1N+yiokCwYNF7GH3gQeSGt0LCkzu83Rwionq/fnt9tBQR1S9DUYa6L4ng7MREFBgY3BDpXEjV0guVUay3IaLAwOCGSOciSsyzE3OkFBEFCgY3RDoXU3ZC3Yc04jBwIgoMDG6IdKzSpCHelKN+jkjk7MREFBgY3BDp2MniMuvSC1FJXHqEiAIDgxsiHcspLEEKzMFNcCMumklEgYHBDZGOFWRnIMRQCRMMQDSHghNRYGBwQ6Rjp3LNC8oWGBsBQSHebg4RUYNgcEOkY+VVSy8UhCR5uylERA2GwQ2RjmkF6eq+OCzZ200hImowDG6IdCyoaumFskjOTkxEgYPBDZGOhZ0+ru61mKbebgoRUYNhcEOkY5Gl5tmJjXGcnZiIAgeDGyIdiyvPVvdh8QxuiChwMLgh0rHEqqUXIpNaebspREQNhsENkU6VFBehkaFI/RybwuCGiAIHgxsincrLOqLuT2uhiIlN9HZziIgaDIMbIp0qyjYHN9nGRBiM/F+diAIH/8Uj0qmSHHNwkxfErA0RBRYGN0Q6VZFnnp24KLSxt5tCRNSgGNwQ6ZSh0Dw7cUkEVwMnosDC4IZIp4JPZar7iiguvUBEgYXBDZFORZRkmX/g0gtEFGAY3BDpVHSZeemF4EbNvd0UIqIGxeCGSI80DY0qzbMThycwuCGiwBJc2xeWlpZiy5Yt+PPPP1FcXIzGjRvj0ksvRdu2beu2hUTkueJchKJc/RjbuCWPIBEFFI+Dm7S0NPz3v//FZ599hrKyMjRq1AgRERHIzc1VAU+7du1w3333YcyYMYiJiamfVhORa6ZKaHuXwwAgX4tEQkwEjxYRBRSPuqVuuOEG3HLLLWjevDlWrVqFwsJC5OTk4OjRoyp7c+DAAfzrX//C119/jQsuuABr1qypv5YTUXW7lwGzusDwxUPqYZyhGE3evsy8nYgoQHiUuRk4cCA+/vhjhIaGOn1esjZyGzVqFHbt2oX0dPMkYkTUACSA+WikFNxUn+9Gtg9fCHQaxj8FEemeQdM0+38Jda6goABxcXHIz89HbGyst5tDVDdMlSpjgwJXXygMQGwzYPwOwBjEo05Eur5+13q01Nq1a10+N2/evNq+LRHVxqG0GgIboQEFx8z7ERHpXK2DmyFDhuDRRx9VRcUWJ06cwNChQzFx4sS6ah8RuaPoeN3uR0QUiMHN+vXr8cUXX+Cyyy5T9TVffvklunTpgqKiIvz6669120oiqll0St3uR0QUiMFNr1698PPPP+Oiiy5C9+7dcdNNN6lMzjfffIOWLTmvBlGDap2qamo0NQC8OrU9trl5PyIinTunGYr37duHH3/8ES1atEBwcDD27t2rhoQTUQOTIuFBM9SPJochAtbHg6azmJiIAkKtg5vp06ejd+/euOaaa7Bz504V5FgyOZs3b67bVhLRWWkdh2J6zERkI85ueyYS1XZ5nogoENQ6uHnttdfULMUyW3F4eDg6d+6slmP461//iiuuuKJuW0lEZ7X+QDbmneiCcWUPqsdZpljcVvYv9C19TW2X54mIAkGt15basWMHkpKS7LaFhIRg5syZuP766+uibUTkJpmu6uXV+2AwACmGPLXtoNYC35s6qZ9luzzf//wkGOQBEZGO1Tpz4xjY2BowYEBt35aIaqGs0oT0vNOyGDiaGHLVtkzEW5+X7Rl5JWo/IiK98yhzI4thTpo0ya3RUIsXL0ZFRQXuuOOOc2kfEbkhLDgIyx7si9xTZYj85ivgIJATlITlY/pa90mMDlX7ERHpnUfBTePGjdVcNqmpqRg2bBh69OiBZs2aqZqbkydPYvfu3di4cSM+/PBDtbjmm2++WX8tJyI7zRpFqFt2WZZ6XBqegi7N7YuLiYgCgUfBzXPPPYdx48bhrbfewty5c9UoKVsxMTG4+uqr1fOyyCYRNTxDUaa6L49qwsNPRAHJ44Li5ORkPPXUU+qWl5eHQ4cO4fTp06oGp3379ixWJPKysGJzcKMWyiQiCkAeFxTLJH1jx45V3U4XXHABZsyYgfPOO0/dOAqDyMtMlYgsNQ/5Dm7U3NutISLyj+Bm8uTJWLBggVo487bbbsOaNWvwwAMP1E/riMgzp07AiEpUaEZEJzJzQ0SByeNuqU8//RTz589XgY2488470adPH1RWViIoiCMxiLyq4Ji6O4FGaBwbxT8GEQUkjzM3R44cQb9+/ayPe/bsqdaVSk9Pr+u2EZGnCjLUXaaWgOTYMB4/IgpIHgc3kqEJDQ212ybBjcxpQ0TepVVlbjK1eCTHMLghosAUXJtp3kePHo2wsDP/cJaUlKgJ/qKiouy6r4ioYZWdPIawqszNFTHhPPxEFJA8Dm5GjRpVbZvU3RCR95XmHlHBzcngJESEsgaOiAKTx8HNO++8Uz8tIaJzpuWba99KwpN5NIkoYNV64Uwi8j3GqtmJK6I5DJyIAheDGyK90DSEnzYHN8bYpt5uDRGR1zC4IdKLknyEmErUj6EJLbzdGiIir2FwQ6QXBeZ6m5NaNBLiuBo4EQUuBjdEelGYfmaOm1gOAyeiwOX14Gb27Nlo27YtwsPD0b17d2zYsMGt123atElNHnjJJZfUexuJ/Clzo2Yn5gR+RBTAvBrcLF68GOPHj8ekSZPw888/q2UdBg8ejMOHD9f4uvz8fIwcORJ/+ctfGqytRP609EIKMzdEFMC8Gty88soruPvuu3HPPfegY8eOmDVrFlq2bIk5c+bU+Lr7778ft99+O3r37t1gbSXydeV5lqUXmLkhosDmteCmrKwM27Ztw8CBA+22y+O0tLQaJxE8ePAgJk+e7NbvKS0tRUFBgd2NSI/KTx5V9yeDEhEV5vH8nEREuuG14CY7O1stwpmSkmK3XR5nZprn6nB04MABPPnkk1i0aJGqt3HHtGnTEBcXZ71JZohIj7SqmpvSyCbebgoRUWAXFBsMhmoLczpuExIISVfUlClTcMEFF7j9/hMnTlQ1OpbbkSNH6qTdRL4m+JS55qYymhP4EVFg81ruOikpCUFBQdWyNFlZWdWyOaKwsBBbt25VhccPPvig2mYymVQwJFmc1atX46qrrqr2Olm93HYFcyJdKi9BWFme+jGoUXNvt4aIKDAzN6GhoWro95o1a+y2y+PU1NRq+8fGxmLHjh345ZdfrLcxY8bgwgsvVD/36tWrAVtP5GMKzVmb01ooouOSvN0aIiKv8mrV4SOPPIIRI0agR48eauTTm2++qYaBS9Bi6VI6duwYFi5cCKPRiC5duti9Pjk5Wc2P47idKHDnuIlHShwn8COiwObV4ObWW29FTk4Opk6dioyMDBWkrFixAq1bt1bPy7azzXlDRGcyN5laIpJjGNwQUWAzaFK0EkBkKLiMmpLiYunqItKFTa8Ba57B0so+SBm1EKnnsWuKiAL3+u310VJEVHezEx+XCfw4OzERBTgGN0Q6UJlvnsAvQwU3HB1IRIGNwQ2RDlTkmQuKc42JiOHsxEQU4BjcEOmooLgssonTSTCJiAIJgxsif2eqREjxcfPPsZydmIiIwQ2Rvzt1AkatEpWaAaFxDG6IiBjcEPm7gmPqLgvxSIyN9HZriIi8jsENkW6GgccjhcPAiYgY3BDppZhYDQOP4TBwIiJmboh00i2VyTluiIgUBjdEOumWkuCG3VJERAxuiPyeKd+SuYlntxQREYMbIj9nqoQp+6D6MTmoEHFhTMYSEfFfQiJ/tXsZMKsLgk+Zl16YFPQeDK91NW8nIgpgDG6I/JEEMB+NBArMgY1d/Y1sZ4BDRAGMwQ2RvzFVAisnANCcPFm1beWT5v2IiAIQgxsif3MorXrGxo5mHh4u+xERBSAGN0T+puh43e5HRKQzDG6I/E10St3uR0SkMwxuiPxN61QgthkAg4sdDEBsc/N+REQBiMENkb8xBgGDZrh4sirgGTTdvB8RUQBicEPkjzoNA4YvhGawD2A0yegMX2h+nogoQAV7uwFEVEsdh8KEIAShElPKR2CP1hoPXDcCAzo04SElooDG4IbIT2nFOQjSytTPiyqvRoUhBMVrf0P/C1NgMLiqxyEi0j92SxH5qZ927FT3J7Q4lCEEJg3YfjQf6w9ke7tpRERexeCGyA9pmoaVm35UP6dridbtRgPw8up96nkiokDF4IbID0l2pjT3SLXghtkbIiIGN0R+R7Iykp1pZshVjzNsghsh5TbM3hBRIGPmhsjPlFWakJ53Gs0M2dUyN0J6pDLyStR+RESBiKOliPxMWHAQlj3YF3EfTAeOmzM30/7aFV2bx1n3SYwOVfsREQUiBjdEfqhZowhoJZnWzE3vdolokxTl7WYREfkEdksR+SNTJVCQYQ1umsSFe7tFREQ+g8ENkT8qzIRBq0S5FoTyiCSEh7ALiojIgsENkT8qOKbujiMeyXHsjiIissXghsgf5R9Vd+ySIiKqjsENkR8HNzJSqkks622IiGwxuCHy424pFdywmJiIyA6DGyI/ztwcY+aGiKgaBjdE/t4txcwNEZEdBjdE/ojdUkRELjG4IfI3FaXAqRPWbqmmsRHebhERkU9hcEPkp1mb01ooSkJiERvBVVSIiGwxuCHy4zlumsZFwmAweLtFREQ+hcENkb/JtwwDT0BKbJi3W0NE5HMY3BD5mwJL5iaJE/gRETnB4IbIX4eBQ4aBs5iYiMgRgxsiP+2WUutKsVuKiKgaBjdEfjpayrxoJjM3RESOGNwQ+RuuCE5EVCMGN0T+pKQAKC2wLr3QlEsvEBFVw+CGyA+7pPK0KJQaI5AUzaHgRESOGNwQ+eUcN4lIjglDkJET+BEROWJwQ+RP8o9Yi4lTYsO93RoiIp/E4IbIL1cDT2C9DRGRCwxuiPxyjpskZm6IiFxgcEPkp91SHClFROQcgxsiv+yWkgn8WHNDROSTwc3s2bPRtm1bhIeHo3v37tiwYYPLfT/99FNcc801aNy4MWJjY9G7d2+sWrWqQdtL5DWaZu2WOgYWFBMR+WRws3jxYowfPx6TJk3Czz//jH79+mHw4ME4fPiw0/3Xr1+vgpsVK1Zg27ZtuPLKKzF06FD1WiLdO5UNVJbCpBlwnAXFREQuGTRNvg56R69evdCtWzfMmTPHuq1jx4648cYbMW3aNLfeo3Pnzrj11lvxzDPPuLV/QUEB4uLikJ+fr7I/RH4j/WfgzSuQpTVCz9LZ2PvcIISHBHm7VUREDcKT67fXMjdlZWUq+zJw4EC77fI4LS3NrfcwmUwoLCxEQkKCy31KS0vVAbG9Efn3SKkExEeGMLAhIvK14CY7OxuVlZVISUmx2y6PMzMz3XqPl19+GadOncLw4cNd7iMZIIn0LLeWLVuec9uJGpypEvhjvfqxRAtF05gQ/hGIiHy1oNhgsJ8+XnrJHLc588EHH+DZZ59VdTvJycku95s4caJKYVluR46Yh9IS+Y3dy4BZXYAt89TDy4P24v+K7jFvJyKiaoLhJUlJSQgKCqqWpcnKyqqWzXEkAc3dd9+Njz/+GFdffXWN+4aFhakbkV+SAOajkRL2222Or8w2bx++EOg0zGvNIyLyRV7L3ISGhqqh32vWrLHbLo9TU1NrzNiMHj0a77//PoYMGdIALSXyYlfUygnVAhthzW2ufNK8HxEReT9zIx555BGMGDECPXr0UHPWvPnmm2oY+JgxY6xdSseOHcPChQutgc3IkSPx2muv4fLLL7dmfSIiIlQ9DZGuHEoDCtJr2EEzT+on+7Xt14ANIyLybV4NbmQId05ODqZOnYqMjAx06dJFzWHTunVr9bxss53zZt68eaioqMDYsWPVzWLUqFFYsGCBVz4DUb0pOl63+xERBQivznPjDZznhvzGHxuAd68/+36jljNzQ0S6V+AP89wQ0Vm0TgVim9lW2DgwALHNzfsREZEVgxsiX2UMAgbNcPqUZgl4Bk0370dERFYMboh8mQzzluHeIRF2mw2S0eEwcCIipxjcEPlDgJPcWf34dsW1mJr4IjB+B+e3ISJygcENka+Tmv+c39SPH1VeiZPJvdgVRURUAwY3RL6uOBcoyVM//qmloKLS5O0WERH5NAY3RL4u54C6S0cSShCGbYdPqjXYiIjIOQY3RL6uqkvqYGUTdZ+eV4L1B7K93CgiIt/F4IbIx2nZ5szN71pTdW80AC+v3sfsDRGRCwxuiHxc9qHd6v6PquDGpAHbj+Yze0NE5AKDGyIfJrU1xRn77DI3gtkbIiLXGNwQ+bD1+46jSUV6teCG2RsiItcY3BD5cNbm/1ZtRJihHKVaCNK1JLvnDay9ISJyisENkY8qqzQhPP936/w2Jof/XWU0eEZeidqPiIjOCLb5mYh8SFhwEP7dLwJYBxREtQbKgLv6tMFfu7Ww7pMYHar2IyKiMxjcEPmwuOI/1f0hNFP3l7VJQJfmcV5uFRGRb2O3FJEfTOC3q7Sxum+ZEOnlBhER+T4GN0S+LOeguvv1dLK6bxnP4IaI6GwY3BD5qrJiIP+I+vEPrQliwoIRG8GeZCKis2FwQ+Srcs0jpcpDG+EkYtEiIRIGGf9NREQ1YnBD5OOrgedFtFL3LeMjvNwgIiL/wOCGyMeLiTOCm6v7Fqy3ISJyC4MbIl+VbQ5u/tDMw8BbJjBzQ0TkDgY3RD6eudldVjUMnJkbIiK3MLgh8kWytkJVzc3WIvOaUi2YuSEicguDGyJfVJwDlORDgwE7S6qCG2ZuiIjcwuCGyIe7pMqjm6MUoYiPDEF0GOe4ISJyB4MbIl+Ube6SUgtmctkFIiKPMLgh8uHMTVaIeQVwFhMTEbmPwQ2RDwc3f1atBt6CE/gREbmNnfhEvsRUCRxKA479pB7urxoGLksvEBGRexjcEPmK3cuAlROAgnTrphEnZmKPcRRaxl/m1aYREfkTdksR+Upg89FIu8BGxJtOYk7ILFyY+53XmkZE5G8Y3BD5QleUZGygVXvKWLUIeJPNz5r3IyKis2JwQ+RtUmPjkLFxDHAMBcfM+xER0VkxuCHytqLjdbsfEVGAY3BD5G3RKXW7HxFRgGNwQ+RtrVOBWJnPpqrAxoGqxIltbt6PiIjOisENkbcZg4BBM5w+ZVKRjQEYNN28HxERnRWDGyJf0GkYMHwhEBRmtzkTidjb/w3z80RE5BZO4kfkK86/xvqjds1UjFxZjk3lF+Lbi6/yarOIiPwNMzdEvkKGeleWAjHNcKLrfdhQ3hEwGNGsUYS3W0ZE5FcY3BD5ioPfmO/bX4UjJ0vUj03jIhASxP9NiYg8wX81iXzFwW/N9+2vxNGTxerH5lwNnIjIYwxuiHxBYSaQtcs8MqqdBDen1eaW8VwNnIjIUwxuiHwpa9PsEiAqEUdyzZmbFszcEBF5jMENkS84+LX5vr15ZJQ1c5PAzA0RkacY3BB5m8lkU29jDm6OVNXctGTmhojIYwxuiLzt+A6gOBsIiQJa9ESlSUN6njlz04KZGyIijzG4IfKVIeBt+wHBoVi+PR3llRpkBHiT2HBvt46IyO8wuCHymflt/gJN0/Cfrw+oh0EGA4zO19IkIqIaMLgh8hZTJXBgDfDnJvPjtgOw/kA2Dp44pR6WVWrqMREReYZrSxF5w+5lwMoJQEG6dZP2fzciTRsNA7pAFgOXpM3Lq/eh//lJMBiYwiEichczN0TeCGw+GmkX2CgFGZhQ8AIGGreohxLgbD+az+wNEZGHGNwQNXRXlGRsVOhiz1C1bXLIezDCZP4f1GDO3kgtDhERuYfBDVFDr/ztmLGxIcFMM0MOehr3qscmjdkbIiJPseamLr+Ry4Wr6DgQnQK0TgWMQc63i/rYV0/v4Sttlu11Sd7bDcnIs/4s5TasvSEi8qPgZvbs2Zg5cyYyMjLQuXNnzJo1C/369XO5/7p16/DII49g165daNasGZ544gmMGTMGvlYcithmQJdbgJ1L7LdHxJtLRU/n1u2+enoPX2mzbB84DTvygrFs008Y1qcbuqYOtgY8Gw9k49kvduHZoZ3R9/wk68ucbbdse7VnOLri7LLQyPqz9Ehl5JWgrNKEsOA6DraIiHTIoHmxM3/x4sUYMWKECnD69OmDefPm4a233sLu3bvRqlWravv/8ccf6NKlC+69917cf//92LRpE/7xj3/ggw8+wM033+zW7ywoKEBcXBzy8/MRGxtbZ8WhGjQ1usXCMtrFcm+7XdTHvnp6D59tc2wzGAbNgNZxKG54Y5Mq+L2oRRw+H9tHjWiS/50ctwvLtkuaR2Np2RgYCp13TclZVB7VBPtvS7PLGiVGh6JpXITT1xARBYICD67fXg1uevXqhW7dumHOnDnWbR07dsSNN96IadOmVdt/woQJWLZsGfbs2WPdJlmbX3/9FZs3b2744Ea6MWZ1qbGGgvxb9YDHoB7v6vc6hqyR7JDZu3f1xIALGmPd/hMY9fYWu+3Cdtva8z/FeUeWVHtvKSGWdzcMXwh0GlbPn4yIyL94cv32WrdUWVkZtm3bhieffNJu+8CBA5GWlub0NRLAyPO2rr32WsyfPx/l5eUICQmp9prS0lJ1sz04DVUcSv7P4GREkwQh8eufRm/jGDRGgepCuu9dDQlR4cg+VWa3/90LttjNUROLU4g/vEq9cYEWiTiDeYFMkakl4mT/qejMwIaI6Jx4LbjJzs5GZWUlUlJS7LbL48zMTKevke3O9q+oqFDv17Rp02qvkQzQlClTUC/cLA4l/Q0xbGbIxQehL1i3pWsJmFI0EqtM5kyNRYVJ9q/E5ca9qkj42qAtSDQU4jetOa4rfR7djL+p7RIgbdU6oNOeeHx+lcZJ+4iI/Lmg2HHmVeklq2k2Vmf7O9tuMXHiRFWAbJu5admyJeqEjKghAtAEuZgTMgtjK8bjq8ozAc61xi2YHLJQBUO2VlRchjKE4ntTJ7vtlkn7pIuLiIj8LLhJSkpCUFBQtSxNVlZWteyMRZMmTZzuHxwcjMTERKevCQsLU7d60ToVJZFNEHoq0+kChxJ3uTtrfl3sq6f3aOjf58l7OCN/f5mT5unghcjTIlV3VWtDJh4OXuL0dz0Y/Bl2aW2qZXo47JuIyI8n8QsNDUX37t2xZs0au+3yODW1ao4SB7179662/+rVq9GjRw+n9Tb1TTMY8WrQXepnubDZsjx2LNeWx1o97Kun9/ClNnvCPAGfubvqP6Gv49GQJapmxzHwtQRRtjMROxv2TUREfjhDsXQXydDvt99+W42Aevjhh3H48GHrvDXSpTRy5Ejr/rL90KFD6nWyv7xOiokfe+wxr7RfLkCfnO6GB8rHIxMJds9lIhHzKq5HhsP2k4hWt7reV0/v4SttFuc6ltBVNsgyE/HKm4KwfFxfu9uycX04nw0Rkb/W3Nx6663IycnB1KlT1SR+MofNihUr0Lp1a/W8bJNgx6Jt27bqeQmC3njjDTWJ33/+8x+357ipazKh2rIH+yL3VE/kmv6J0swtCC7OQkVkMv6MuhhNSk3YH25EadGvans24nEo5mL12jZFvyJRO1kn++rpPXypzWWFJ3DRzumIKKm/wvELIouB5nH19v5ERIHIq/PceEOdT+JH+ma7JENkEvD5A2r1bmcLX9bKqOVAW9czchMRkR/Nc0PkF2SWYNvgY9AMNSP1mTmNa8tgXt7BsgYWERHVGa4KTuQJmWBPZhCOrT6nkvuqCnEGTa/7hTmJiIiZG6JaBTgdhtS+u0oyNhLYcCZiIqJ6wW4ponrtrqp6fMVTQGJ788SP0hXFjA0RUb1hcENUl91VKyfYrzfGLA0RUYNjcENUX91VzNIQEXkFgxui+uyuIiKiBsfRUkRERKQrDG6IiIhIVxjcEBERka4wuCEiIiJdYXBDREREusLghoiIiHSFwQ0RERHpCoMbIiIi0hUGN0RERKQrATdDsaaZFzUsKCjwdlOIiIjITZbrtuU6XpOAC24KCwvVfcuWLb3dFCIiIqrFdTwuLq7GfQyaOyGQjphMJuzbtw+dOnXCkSNHEBsb6+0mBVzkLYEljz2PfSDhec/jH6gK6vDffAlXJLBp1qwZjMaaq2oCLnMjB6R58+bqZznQDG68g8fee3jseewDFc99/z/2Z8vYWLCgmIiIiHSFwQ0RERHpSkAGN2FhYZg8ebK6Jx77QMHznsc+UPHcD7xjH3AFxURERKRvAZm5ISIiIv1icENERES6wuCGiIiIdIXBDREREemKboOb2bNno23btggPD0f37t2xYcOGGvdft26d2k/2b9euHebOndtgbQ3kY//dd9/BYDBUu+3du7dB26wH69evx9ChQ9XsnXIMP/vss7O+hue9d449z/u6MW3aNFx22WWIiYlBcnIybrzxRjUD/dnwvPfe8W+oc1+Xwc3ixYsxfvx4TJo0CT///DP69euHwYMH4/Dhw073/+OPP3Ddddep/WT/p556Cg899BA++eSTBm97oB17C/kfIiMjw3o7//zzG6zNenHq1ClcfPHFeP31193an+e99469Bc/7cyNBytixY/H9999jzZo1qKiowMCBA9XfwxWe9949/g127ms61LNnT23MmDF22zp06KA9+eSTTvd/4okn1PO27r//fu3yyy+v13bqkafH/ttvv5WpCLSTJ082UAsDgxzTpUuX1rgPz3vvHXue9/UjKytLHf9169a53IfnvXePf0Od+7rL3JSVlWHbtm0qerQlj9PS0py+ZvPmzdX2v/baa7F161aUl5fXa3sD/dhbXHrppWjatCn+8pe/4Ntvv63nlpLgee99PO/rVn5+vrpPSEhwuQ/Pe+8e/4Y693UX3GRnZ6OyshIpKSl22+VxZmam09fIdmf7S4pN3o/q79jLyf3mm2+qLsBPP/0UF154oTrZpYaB6hfPe+/heV/3JGn2yCOPoG/fvujSpYvL/Xjee/f4N9S5r9tVwaVAyfHAO2472/7OtlPdHns5seVm0bt3bxw5cgQvvfQS+vfvz8Ndz3jeewfP+7r34IMPYvv27di4ceNZ9+V5773j31Dnvu4yN0lJSQgKCqqWKcjKyqqWUbBo0qSJ0/2Dg4ORmJhYr+0N9GPvzOWXX44DBw7UQwvJFs9738LzvvbGjRuHZcuWqe6NFi1a1Lgvz3vvHv+GOvd1F9yEhoaq4cdSuW1LHqempjp9jUSOjvuvXr0aPXr0QEhISL22N9CPvTMyykpSl1S/eN77Fp73npOssGQMpHvjm2++UVNQnA3Pe+8e/wY79zUd+vDDD7WQkBBt/vz52u7du7Xx48drUVFR2p9//qmel5E7I0aMsO7/+++/a5GRkdrDDz+s9pfXyeuXLFnixU8RGMf+1VdfVSNL9u/fr+3cuVM9L6flJ5984sVP4Z8KCwu1n3/+Wd3kGL7yyivq50OHDqnned77zrHneV83HnjgAS0uLk777rvvtIyMDOutuLjYug/Pe986/g117usyuBFvvPGG1rp1ay00NFTr1q2b3dC0UaNGaQMGDLDbX/44l156qdq/TZs22pw5c7zQ6sA79jNmzNDat2+vhYeHa/Hx8Vrfvn21L7/80kst92+WIZaONznmgue97xx7nvd1w9kxl9s777xj3YfnvW8d/4Y69w1VDSQiIiLSBd3V3BAREVFgY3BDREREusLghoiIiHSFwQ0RERHpCoMbIiIi0hUGN0RERKQrDG6IiIhIVxjcEBERka4wuCEiIiJdYXBDREREusLghoj83okTJ9CkSRO88MIL1m0//PCDWql+9erVXm0bETU8ri1FRLqwYsUK3HjjjUhLS0OHDh1w6aWXYsiQIZg1a5a3m0ZEDYzBDRHpxtixY7F27Vpcdtll+PXXX/Hjjz8iPDzc280iogbG4IaIdOP06dPo0qULjhw5gq1bt+Kiiy7ydpOIyAtYc0NEuvH7778jPT0dJpMJhw4d8nZziMhLmLkhIl0oKytDz549cckll6iam1deeQU7duxASkqKt5tGRA2MwQ0R6cLjjz+OJUuWqFqb6OhoXHnllYiJicHy5cu93TQiamDsliIiv/fdd9+pUVHvvfceYmNjYTQa1c8bN27EnDlzvN08ImpgzNwQERGRrjBzQ0RERLrC4IaIiIh0hcENERER6QqDGyIiItIVBjdERESkKwxuiIiISFcY3BAREZGuMLghIiIiXWFwQ0RERLrC4IaIiIh0hcENERER6QqDGyIiIoKe/H88jfnUcpEFuwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pair.plot_target_distribution(state=state)" ] }, { "cell_type": "code", "execution_count": 17, "id": "6f58e10b-b6e7-4918-9b6b-ad7b6a008427", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "---Optimization: 1 of 1---\n", "Starting simulation 0 for state ; Name: 3.0kT; kT: 3.0; Alpha0: 0.7\n", "Running on device \n", "Finished simulation 0 for state ; Name: 3.0kT; kT: 3.0; Alpha0: 0.7. TPS = 38036.9524428548\n", "\n", "Force: A-A, State: 3.0kT, Iteration: 0, Fit score:0.917047\n", "\n", "---Optimization: 1 of 1---\n", "Starting simulation 1 for state ; Name: 3.0kT; kT: 3.0; Alpha0: 0.7\n", "Running on device \n", "Finished simulation 1 for state ; Name: 3.0kT; kT: 3.0; Alpha0: 0.7. TPS = 37337.71070696939\n", "\n", "Force: A-A, State: 3.0kT, Iteration: 1, Fit score:0.947908\n", "\n", "---Optimization: 1 of 1---\n", "Starting simulation 2 for state ; Name: 3.0kT; kT: 3.0; Alpha0: 0.7\n", "Running on device \n", "Finished simulation 2 for state ; Name: 3.0kT; kT: 3.0; Alpha0: 0.7. TPS = 37016.4969941494\n", "\n", "Force: A-A, State: 3.0kT, Iteration: 2, Fit score:0.969424\n", "\n", "---Optimization: 1 of 1---\n", "Starting simulation 3 for state ; Name: 3.0kT; kT: 3.0; Alpha0: 0.7\n", "Running on device \n", "Finished simulation 3 for state ; Name: 3.0kT; kT: 3.0; Alpha0: 0.7. TPS = 36278.00181056251\n", "\n", "Force: A-A, State: 3.0kT, Iteration: 3, Fit score:0.975935\n", "\n", "---Optimization: 1 of 1---\n", "Starting simulation 4 for state ; Name: 3.0kT; kT: 3.0; Alpha0: 0.7\n", "Running on device \n", "Finished simulation 4 for state ; Name: 3.0kT; kT: 3.0; Alpha0: 0.7. TPS = 36894.53667176746\n", "\n", "Force: A-A, State: 3.0kT, Iteration: 4, Fit score:0.986184\n", "\n", "---Optimization: 1 of 1---\n", "Starting simulation 5 for state ; Name: 3.0kT; kT: 3.0; Alpha0: 0.7\n", "Running on device \n", "Finished simulation 5 for state ; Name: 3.0kT; kT: 3.0; Alpha0: 0.7. TPS = 36448.08990140063\n", "\n", "Force: A-A, State: 3.0kT, Iteration: 5, Fit score:0.986809\n", "\n", "---Optimization: 1 of 1---\n", "Starting simulation 6 for state ; Name: 3.0kT; kT: 3.0; Alpha0: 0.7\n", "Running on device \n", "Finished simulation 6 for state ; Name: 3.0kT; kT: 3.0; Alpha0: 0.7. TPS = 36459.91706098067\n", "\n", "Force: A-A, State: 3.0kT, Iteration: 6, Fit score:0.991981\n", "\n" ] } ], "source": [ "for i in range(7):\n", " optimizer.run_optimization(n_iterations=1, n_steps=5e5, backup_trajectories=False)\n", " pair.smooth_potential()" ] }, { "cell_type": "code", "execution_count": 18, "id": "9ab494dc-6c2f-4579-95c6-d50744c0e8e9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pair.plot_distribution_comparison(state=state)" ] }, { "cell_type": "code", "execution_count": 19, "id": "7fa40c50-8b60-4e6f-8786-2fbc91f210ae", "metadata": {}, "outputs": [], "source": [ "from msibi.utils.potentials import lennard_jones" ] }, { "cell_type": "code", "execution_count": 20, "id": "06b317b3-ba28-4eeb-8944-9c7b79b5447e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 0, 'Distance $[\\\\sigma]$')" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(pair.x_range, pair.potential, \"o-\", label=\"MSIBI\")\n", "plt.plot(\n", " pair.x_range,\n", " lennard_jones(r=pair.x_range, epsilon=1, sigma=1),\n", " \"^-\",\n", " label=\"LJ 12-6\",\n", ")\n", "plt.ylim(-2, 10)\n", "plt.legend()\n", "plt.ylabel(\"Energy $[\\epsilon]$\")\n", "plt.xlabel(\"Distance $[\\sigma]$\")" ] }, { "cell_type": "markdown", "id": "634040aa-e8a9-4f4e-acda-6583e58531b5", "metadata": {}, "source": [ "-----------------------------------------------------" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.13.0" } }, "nbformat": 4, "nbformat_minor": 5 }