{ "cells": [ { "cell_type": "markdown", "id": "0a5eaf21-f149-4277-8ddc-972b12c489c3", "metadata": {}, "source": [ "## Initial imports" ] }, { "cell_type": "code", "execution_count": 1, "id": "7527d1e0-61b4-42e0-927b-f88e63eb75d5", "metadata": {}, "outputs": [], "source": [ "from scm.plams import *\n", "import os\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "id": "21722ac5-0852-4b85-92d6-21a8e03c7af3", "metadata": {}, "source": [ "## Create a box of methane\n", "\n", "\n", "First, create a gasphase methane molecule:" ] }, { "cell_type": "code", "execution_count": 2, "id": "7d6905b7-9d40-476f-bd01-85eaf379303e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.04|11:23:38] Starting Xvfb...\n", "[10.04|11:23:38] Xvfb started\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "single_molecule = from_smiles(\n", " \"C\", forcefield=\"uff\"\n", ") # or use Molecule('your-own-file.xyz')\n", "view(single_molecule, height=150, width=150)" ] }, { "cell_type": "markdown", "id": "44f80996-0301-40b8-9268-92ebe224dd33", "metadata": {}, "source": [ "You can easily create a box with a liquid or gas of a given density. For more advanced options, see the Packmol example." ] }, { "cell_type": "code", "execution_count": 3, "id": "611b609c-ad2b-4771-902e-256df32534a9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Lattice vectors of the box:\n", "[[8.106820570931148, 0.0, 0.0], [0.0, 8.106820570931148, 0.0], [0.0, 0.0, 8.106820570931148]]\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "box = packmol(\n", " single_molecule,\n", " n_molecules=8,\n", " region_names=\"methane\",\n", " density=0.4, # g/cm^3\n", ")\n", "print(\"Lattice vectors of the box:\\n{}\".format(box.lattice))\n", "view(box, height=200, width=200, direction=\"tilt_z\")" ] }, { "cell_type": "markdown", "id": "dedcebc4-4e25-4939-8413-a404ee7265be", "metadata": {}, "source": [ "Before running an MD simulation, it is usually a good idea to do a quick geometry optimization (preoptimization)." ] }, { "cell_type": "code", "execution_count": 4, "id": "489dbeca-2e36-4a89-8d3d-b6add8966121", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "box = preoptimize(box, model=\"UFF\", maxiterations=50)\n", "view(box, height=200, width=200, direction=\"tilt_z\")" ] }, { "cell_type": "markdown", "id": "09123cff-b2db-4e53-888b-29ec299ea3f5", "metadata": {}, "source": [ "### Run an NVE simulation with UFF\n", "\n", "In an NVE simulation, the total energy (kinetic + potential) is constant. \n", "\n", "The initial velocities can either be \n", "\n", "* read from a file (a previous simulation), or \n", "\n", "* be generated to follow the Maxwell-Boltzmann distribution at a certain temperature.\n", "\n", "Here, we will initialize the velocities corresponding to a temperature of 300 K." ] }, { "cell_type": "code", "execution_count": 5, "id": "2541e4e5-cd8e-43ad-8a78-686b381efc56", "metadata": {}, "outputs": [], "source": [ "s = Settings()\n", "s.input.ForceField.Type = \"UFF\"\n", "s.runscript.nproc = 1 # run in serial\n", "\n", "nve_job = AMSNVEJob(\n", " molecule=box,\n", " settings=s,\n", " name=\"NVE-sim-1\",\n", " temperature=300, # initial velocities from Maxwell-Boltzmann distribution, 300 K\n", " nsteps=1000,\n", " samplingfreq=50,\n", " timestep=1.0, # femtoseconds\n", ")" ] }, { "cell_type": "markdown", "id": "9993fc0a-153b-431c-8ce9-e44828fa9eac", "metadata": {}, "source": [ "When calling ``nve_job.run()``, you can set ``watch=True`` to interactively see the progress of the MD simulation." ] }, { "cell_type": "code", "execution_count": 6, "id": "2cdb6972-dee4-4022-bebe-02f0b372885f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.04|11:23:41] JOB NVE-sim-1 STARTED\n", "[10.04|11:23:41] JOB NVE-sim-1 RUNNING\n", "[10.04|11:23:41] NVE-sim-1: AMS 2026.102 RunTime: Apr10-2026 11:23:41 ShM Nodes: 1 Procs: 1\n", "[10.04|11:23:41] NVE-sim-1: Starting MD calculation:\n", "[10.04|11:23:41] NVE-sim-1: --------------------\n", "[10.04|11:23:41] NVE-sim-1: Molecular Dynamics\n", "[10.04|11:23:41] NVE-sim-1: --------------------\n", "[10.04|11:23:41] NVE-sim-1: Step Time Temp. E Pot Pressure Volume\n", "[10.04|11:23:41] NVE-sim-1: (fs) (K) (au) (MPa) (A^3)\n", "[10.04|11:23:41] NVE-sim-1: 0 0.00 300. -0.02938 583.744 532.8\n", "[10.04|11:23:42] NVE-sim-1: 50 50.00 233. -0.01660 -31.945 532.8\n", "[10.04|11:23:42] NVE-sim-1: 100 100.00 274. -0.02447 29.827 532.8\n", "[10.04|11:23:42] NVE-sim-1: 150 150.00 256. -0.02094 175.329 532.8\n", "[10.04|11:23:42] NVE-sim-1: 200 200.00 258. -0.02144 120.430 532.8\n", "[10.04|11:23:42] NVE-sim-1: 250 250.00 244. -0.01867 -52.020 532.8\n", "[10.04|11:23:42] NVE-sim-1: 300 300.00 226. -0.01526 -139.959 532.8\n", "[10.04|11:23:42] NVE-sim-1: 350 350.00 235. -0.01695 398.402 532.8\n", "[10.04|11:23:42] NVE-sim-1: 400 400.00 232. -0.01639 311.102 532.8\n", "[10.04|11:23:42] NVE-sim-1: 450 450.00 228. -0.01553 289.500 532.8\n", "[10.04|11:23:42] NVE-sim-1: 500 500.00 236. -0.01696 -361.974 532.8\n", "[10.04|11:23:42] NVE-sim-1: 550 550.00 249. -0.01950 284.463 532.8\n", "[10.04|11:23:42] NVE-sim-1: 600 600.00 239. -0.01761 271.601 532.8\n", "[10.04|11:23:42] NVE-sim-1: 650 650.00 207. -0.01165 205.789 532.8\n", "[10.04|11:23:42] NVE-sim-1: 700 700.00 220. -0.01402 -33.922 532.8\n", "[10.04|11:23:42] NVE-sim-1: 750 750.00 215. -0.01307 519.439 532.8\n", "[10.04|11:23:42] NVE-sim-1: 800 800.00 221. -0.01415 514.725 532.8\n", "[10.04|11:23:42] NVE-sim-1: 850 850.00 217. -0.01336 -526.340 532.8\n", "[10.04|11:23:42] NVE-sim-1: 900 900.00 230. -0.01584 -84.348 532.8\n", "[10.04|11:23:42] NVE-sim-1: 950 950.00 222. -0.01427 217.482 532.8\n", "[10.04|11:23:42] JOB NVE-sim-1 FINISHED\n", "[10.04|11:23:43] NVE-sim-1: 1000 1000.00 215. -0.01305 280.709 532.8\n", "[10.04|11:23:43] NVE-sim-1: MD calculation finished.\n", "[10.04|11:23:43] NVE-sim-1: NORMAL TERMINATION\n", "[10.04|11:23:43] JOB NVE-sim-1 SUCCESSFUL\n" ] } ], "source": [ "nve_job.run(watch=True);" ] }, { "cell_type": "markdown", "id": "a6d8a3d0-5240-4fd0-be76-c1c99254f80d", "metadata": {}, "source": [ "The main output file from an MD simulation is called **ams.rkf**. It contains the trajectory and other properties (energies, velocities, ...). You can open the file \n", "\n", "* in the AMSmovie graphical user interface to play (visualize) the trajectory. \n", "\n", "* in the KFbrowser module (expert mode) to find out where on the file various properties are stored.\n", "\n", "Call the ``job.results.rkfpath()`` method to find out where the file is:" ] }, { "cell_type": "code", "execution_count": 7, "id": "d73c58bc-edbf-4c92-b277-4d141ae1d052", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "/Users/ormrodmorley/Documents/code/ams/amshome_fix2026/userdoc/PythonExamples/molecular-dynamics-intro/plams_workdir.002/NVE-sim-1/ams.rkf\n" ] } ], "source": [ "print(nve_job.results.rkfpath())" ] }, { "cell_type": "markdown", "id": "97cbbfae-9c90-4b23-bcda-8335c4c7f5b3", "metadata": {}, "source": [ "Use ``job.results.readrkf()`` to directly read from the ams.rkf file:" ] }, { "cell_type": "code", "execution_count": 8, "id": "24b6e21c-35c6-43ea-ba55-7bd9353009cd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "There are 21 frames in the trajectory\n" ] } ], "source": [ "n_frames = nve_job.results.readrkf(\"MDHistory\", \"nEntries\")\n", "print(\"There are {} frames in the trajectory\".format(n_frames))" ] }, { "cell_type": "markdown", "id": "45847854-37b2-4b12-961d-d24fddce5ddc", "metadata": {}, "source": [ "Let's plot the potential, kinetic, and total energies:" ] }, { "cell_type": "code", "execution_count": 9, "id": "f2718fb6-d5ab-46e7-9730-2ef7cdea3766", "metadata": {}, "outputs": [], "source": [ "def plot_energies(\n", " job,\n", " title=None,\n", " kinetic_energy=True,\n", " potential_energy=True,\n", " total_energy=True,\n", " conserved_energy=False,\n", "):\n", " time = job.results.get_history_property(\"Time\", \"MDHistory\")\n", " fig, ax = plt.subplots(figsize=(5, 3))\n", " if kinetic_energy:\n", " kin_e = job.results.get_history_property(\"KineticEnergy\", \"MDHistory\")\n", " ax.plot(time, kin_e, label=\"Kinetic Energy\")\n", " if potential_energy:\n", " pot_e = job.results.get_history_property(\"PotentialEnergy\", \"MDHistory\")\n", " ax.plot(time, pot_e, label=\"Potential Energy\")\n", " if total_energy:\n", " tot_e = job.results.get_history_property(\"TotalEnergy\", \"MDHistory\")\n", " ax.plot(time, tot_e, label=\"Total Energy\")\n", " if conserved_energy:\n", " conserved_e = job.results.get_history_property(\"ConservedEnergy\", \"MDHistory\")\n", " ax.plot(time, conserved_e, label=\"Conserved Energy\")\n", " ax.legend()\n", " ax.set_xlabel(\"Time (fs)\")\n", " ax.set_ylabel(\"Energy (Ha)\")\n", " ax.set_title(title or job.name + \" Energies\")\n", " return ax" ] }, { "cell_type": "code", "execution_count": 10, "id": "fcfb5618-5285-46e2-b7f4-2388bfafbbde", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_energies(nve_job)\n", "ax;" ] }, { "cell_type": "markdown", "id": "6a348928-7e15-40b7-a736-c1fe77522452", "metadata": {}, "source": [ "During the NVE simulation, kinetic energy is converted into potential energy and vice versa, but the total energy remains constant.\n", "\n", "Let's also show an image of the final frame. The atoms of some molecules are split across the periodic boundary." ] }, { "cell_type": "code", "execution_count": 11, "id": "6f598d76-3890-4499-b6a9-14b91f925b97", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "view(nve_job.results.get_main_molecule(), height=200, width=200, direction=\"tilt_z\")" ] }, { "cell_type": "markdown", "id": "c4ed1b90-977c-4648-bebd-7619ae078ae7", "metadata": {}, "source": [ "## NVT simulation\n", "\n", "In an NVT simulation, a thermostat keeps the temperature (kinetic energy) in check. The time constant tau (in femtoseconds) indicates how \"strong\" the thermostat is. For now, let's set a Berendsen thermostat with a time constant of 100 fs." ] }, { "cell_type": "code", "execution_count": 12, "id": "5f88d2b3-e814-40d5-af1b-4243ab7d33b0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.04|11:23:44] JOB NVT-sim-1 STARTED\n", "[10.04|11:23:44] JOB NVT-sim-1 RUNNING\n", "[10.04|11:23:45] JOB NVT-sim-1 FINISHED\n", "[10.04|11:23:45] JOB NVT-sim-1 SUCCESSFUL\n" ] } ], "source": [ "nvt_job = AMSNVTJob(\n", " molecule=box,\n", " settings=s,\n", " name=\"NVT-sim-1\",\n", " nsteps=1000,\n", " samplingfreq=50,\n", " timestep=1.0, # femtoseconds\n", " temperature=300,\n", " thermostat=\"Berendsen\",\n", " tau=100, # femtoseconds\n", ")\n", "nvt_job.run();" ] }, { "cell_type": "code", "execution_count": 13, "id": "13b6fd92-f16e-41fc-8006-e3504e79dddf", "metadata": {}, "outputs": [], "source": [ "def plot_temperature(job, title=None):\n", " time = job.results.get_history_property(\"Time\", \"MDHistory\")\n", " temperature = job.results.get_history_property(\"Temperature\", \"MDHistory\")\n", " fig, ax = plt.subplots(figsize=(5, 3))\n", " ax.plot(time, temperature)\n", " ax.set_xlabel(\"Time (fs)\")\n", " ax.set_ylabel(\"Temperature (K)\")\n", " ax.set_title(title or job.name + \" Temperature\")\n", " return ax" ] }, { "cell_type": "code", "execution_count": 14, "id": "dd8035a4-625c-4a89-afad-5513c145d620", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_temperature(nvt_job)\n", "ax;" ] }, { "cell_type": "code", "execution_count": 15, "id": "1c8392ce-2b26-43e4-b8bb-8ed248d99755", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_energies(nvt_job)\n", "ax;" ] }, { "cell_type": "markdown", "id": "ff44ee24-f491-4f29-a6d1-e5b36b49eef2", "metadata": {}, "source": [ "In an NVT simulation, the total energy is not conserved. Instead, the quantity known as \"Conserved Energy\" is conserved:" ] }, { "cell_type": "code", "execution_count": 16, "id": "d2ebe8e8-7206-4109-bc7c-9b49e4f2ebfd", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_energies(nvt_job, conserved_energy=True)\n", "ax;" ] }, { "cell_type": "markdown", "id": "589c6918-643d-4289-b4c6-4ad92522a745", "metadata": {}, "source": [ "## NPT simulation\n", "\n", "In an NPT simulation, a barostat is used to keep the pressure constant (fluctuating around a given value). The instantaneous pressure can fluctuate quite wildly, even with a small time constant for the barostat.\n", "\n", "Let's run an NPT simulation with the same thermostat as before and with a barostat set at 1 bar. \n", "\n", "**Note**: It is usually good to pre-equilibrate a simulation in NVT before switching on the barostat. Below we demonstrate the ``restart_from`` function, which will restart from ``nvt_job`` (final frame and velocities). You can also use ``restart_from`` together with AMSNVEJob or AMSNVTJob." ] }, { "cell_type": "code", "execution_count": 17, "id": "78822b28-5a92-4b74-a29e-682e6546b4d7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.04|11:23:45] JOB npt STARTED\n", "[10.04|11:23:45] JOB npt RUNNING\n", "[10.04|11:23:46] JOB npt FINISHED\n", "[10.04|11:23:46] JOB npt SUCCESSFUL\n" ] } ], "source": [ "npt_job = AMSNPTJob.restart_from(\n", " nvt_job,\n", " name=\"npt\",\n", " barostat=\"Berendsen\",\n", " pressure=1e5, # Pa\n", " barostat_tau=1000, # fs\n", " equal=\"XYZ\", # scale all lattice vectors equally\n", ")\n", "\n", "npt_job.run();" ] }, { "cell_type": "code", "execution_count": 18, "id": "6e14b401-aab8-457a-9aa5-17558497afa9", "metadata": {}, "outputs": [], "source": [ "from scm.plams.tools.postprocess_results import moving_average\n", "\n", "\n", "def plot_pressure(job, title=None, window: int = None):\n", " time = job.results.get_history_property(\"Time\", \"MDHistory\")\n", " pressure = job.results.get_history_property(\"Pressure\", \"MDHistory\")\n", " pressure = Units.convert(pressure, \"au\", \"bar\") # convert from atomic units to bar\n", " time, pressure = moving_average(time, pressure, window)\n", " fig, ax = plt.subplots(figsize=(5, 3))\n", " ax.plot(time, pressure)\n", " ax.set_xlabel(\"Time (fs)\")\n", " ax.set_ylabel(\"Pressure (bar)\")\n", " ax.set_title(title or job.name + \" Pressure\")\n", " return ax" ] }, { "cell_type": "code", "execution_count": 19, "id": "5535b604-f54c-40c4-b064-fa7e7e9aaf8f", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_pressure(npt_job)\n", "ax;" ] }, { "cell_type": "markdown", "id": "6428f12f-dea3-46de-b4ce-f34a1c393f14", "metadata": {}, "source": [ "Those are quite some fluctuations! Especially for the pressure it can be useful to **plot a moving average**. Here the ``window`` parameter gives the number of frames in the trajectory to average over." ] }, { "cell_type": "code", "execution_count": 20, "id": "b3d14a98-a216-4c1d-b45a-d6b1b483f34a", "metadata": {}, "outputs": [ { "data": { "image/png": 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HB08++SRpaWn06NGDOnXqcPbsWT799FNatGhBo0aNAGjcuDHdu3endevWuLm5sWvXLn766SfGjh1rON/jjz/ORx99RK9evXjiiSdITk5m3rx5NGnS5Ib7gzfz+eef07lzZ0JDQxk1ahRBQUEkJSURHR3NuXPn2L9/f7m8VlA0zGzSpEm89dZb9O7dm/vuu4/Y2FjmzJlD27ZtjSZfAWjVqhXBwcG89tpr5ObmlvoSdWlYWVnx5ptv8uyzz9KjRw8GDBjAmTNnWLhwIfXq1btlK7Bnz56Gqx1jxowhKyuLL7/8Ei8vrxJ/6Nx77704OjoyceJEzM3N6d+/v9H+evXq8e677zJp0iTDMCNHR0dOnz7NL7/8wujRo5k4ceJ/xtSxY0dcXV0ZMWIEzz33HDqdjv/7v/+7IbmXpe7Dhg1j6dKlPPXUU0RFRdGpUycKCws5duwYS5cuNYy9FxVMiy7conoqHtqUkpJitH3BggU3DE8CVGRkpFq0aJGqX7++sra2Vi1btlRRUVE3HPedd95RtWvXVmZmZrcc5lQ8tOlWAgICbjrs6MqVK2rSpEkqODhYWVlZKQ8PD9WxY0f1wQcfqLy8PKWUUj/99JPq2bOn8vLyUlZWVsrf31+NGTNGXbx40XCcd999V7Vr1065uLgoW1tbFRISot577z3DMYotWrRIBQUFKSsrK9WiRQu1du3amw5tmjlzZokxnzx5Ug0fPlz5+PgoS0tLVbt2bdW3b1/1008//efrcLPjFg8nWrZsmdH24vdy586dRts/++wzFRISoiwtLZW3t7d6+umn1eXLl0s852uvvaYAFRwcXOL+mw1t+ncsxbEvWLDAaPvs2bNVQECAsra2Vu3atVPbtm1TrVu3Vr179/6PV6LIihUrVLNmzZSNjY2qW7eumj59uvrmm29u+rkbMmSIAlRERMRNj/nzzz+rzp07K3t7e2Vvb69CQkJUZGSkio2NNapzkyZNSnz+tm3bVIcOHZStra3y9fVVL730klq7dq0Cbvj/Utq65+XlqenTp6smTZooa2tr5erqqlq3bq3eeustlZGRccvXSZieTqkK6lUjxHV0Oh2RkZF89tlnWociqjm9Xo+npycPPfRQiZdmq7OaXPeqRu4ZCyGqjZycnBsu4X733XekpaVV+2UZa3LdqwO5ZyyEqDa2b9/OhAkTeOSRR3B3d2fPnj18/fXXNG3a1GjYUXVUk+teHUgyFkJUG3Xr1sXPz4/Zs2eTlpaGm5sbw4cPZ9q0adV+NaiaXPfqQO4ZCyGEEBqTe8ZCCCGExiQZCyGEEBqTe8aloNfruXDhAo6OjjJ9nBBC1GBKKa5cuYKvr6/RSmV3SpJxKVy4cEEmTxdCCGGQkJBQ4mpwt0uScSk4OjoCRS/+9UsACiGEqFkyMzPx8/Mz5AVTkWRcCsWXpp2cnCQZCyGEMPktS+nAJYQQQmhMkrEQQgihMUnGQgghhMYkGQshhBAak2QshBBCaEySsRBCCKExScZCiArx1dZTjPm/XaRcydU6FCEqHRlnLIQod1m5BcxYG0tegZ64pCwWj2pPLWdbrcMSotLQtGW8ZcsW+vXrh6+vLzqdjl9//dVov1KKyZMnU6tWLWxtbYmIiCAuLs6oTFpaGkOGDMHJyQkXFxeeeOIJsrKyjMocOHCALl26YGNjg5+fHzNmzCjvqgkhrrM5NoW8Aj0Apy5dZcAX0SSkZWsclRCVh6bJ+OrVqzRv3pzPP/+8xP0zZsxg9uzZzJs3j5iYGOzt7enVqxc5OTmGMkOGDOHw4cOsX7+eVatWsWXLFkaPHm3Yn5mZSc+ePQkICGD37t3MnDmTN998k/nz55d7/YQQRdYdSQTg/ha+BLjbkZB2jYFfRHP60lWNIxOiklCVBKB++eUXw996vV75+PiomTNnGralp6cra2tr9cMPPyillDpy5IgC1M6dOw1lVq9erXQ6nTp//rxSSqk5c+YoV1dXlZubayjz8ssvq4YNG940lpycHJWRkWF4JCQkKEBlZGSYqrpC1Bi5+YWq6ZQ1KuDlVWrXmTR1Mf2a6vFBlAp4eZVq++56dTwxU+sQhSi1jIyMcskHlbYD1+nTp0lMTCQiIsKwzdnZmfbt2xMdHQ1AdHQ0Li4utGnTxlAmIiICMzMzYmJiDGW6du2KlZWVoUyvXr2IjY3l8uXLJZ576tSpODs7Gx6yYpMQt2/7qVSu5BTg4WBNSz8XfJxtWDImjBAfR5Kv5DJw/naOXMjUOkwhNFVpk3FiYtFlLW9vb6Pt3t7ehn2JiYl4eXkZ7bewsMDNzc2oTEnHuP4c/zZp0iQyMjIMj4SEhDuvkBA1VPEl6rsbe2NmVjS5voeDNT+M6kBobWfSruYx+Mvt7E9I1zBKIbRVaZOxlqytrQ0rNMlKTULcPr1ese5wEgC9mhj/KHa1t2LRk+1p5e9CxrV8hn4Vw64zaVqEKYTmKm0y9vHxASApKcloe1JSkmGfj48PycnJRvsLCgpIS0szKlPSMa4/hxCifOw/l07ylVwcrC0Iq+d+w35nW0u+e6I97QPduJJbwPBvdvD3yUsaRCqEtiptMg4MDMTHx4cNGzYYtmVmZhITE0NYWBgAYWFhpKens3v3bkOZjRs3otfrad++vaHMli1byM/PN5RZv349DRs2xNXVtYJqI0TNtO5I0Q/fu0K8sLYwL7GMg7UFC0e2o0t9D7LzChm5YCebYpNLLCtEdaVpMs7KymLfvn3s27cPKOq0tW/fPuLj49HpdIwfP553332XFStWcPDgQYYPH46vry8PPPAAAI0aNaJ3796MGjWKHTt2sG3bNsaOHcugQYPw9fUF4NFHH8XKyoonnniCw4cPs2TJEmbNmsXzzz+vUa2FqDnWHi66X9yzsfd/lrO1MufL4W2IaORFboGe0d/tZt3hkvt0CFEtmbRvdhlFRUUp4IbHiBEjlFJFw5veeOMN5e3traytrVV4eLiKjY01OkZqaqoaPHiwcnBwUE5OTmrkyJHqypUrRmX279+vOnfurKytrVXt2rXVtGnTyhRneXVlF6I6i0u6ogJeXqXqv/qHyryWV6rn5OYXqqcX7VIBL69S9Sb9rlbuP1/OUQpRNuWVD3RKKaXhb4EqITMzE2dnZzIyMqQzlxCl9HnUCWaujaV7Q08WjmxX6ucVFOp58acD/LL3PGY6mPlwc/q3rlOOkQpReuWVDyrtPWMhRNVWfL+4Z+OydZS0MDfjg0eaM6itH3oFE3/az/cx8eURohCVhiRjIYTJJWbksD8hHZ0OIhp73foJ/2JupuP9B0MZERaAUvDqLwdZsO10OUQqROUgyVgIYXLr/5noo5W/K16ONrd1DDMzHW/e14QxXYMAeGvlEeZuOmmyGIWoTCQZCyFMrvgS9b8n+igrnU7HK/eE8Fx4fQCmrznGx+uPI11dRHUjyVgIYVIZ2flEn0wF4O4y3i8uiU6n4/m7G/Bir4YAzNoQx7Q1xyQhi2pFkrEQwqSiYpMp0CsaeDsQ6GFvsuNG3hXMG30bA/DF5lO8tfKIJGRRbUgyFkKYVPFEH72amH662Sc6B/LuA00BWPj3GV795RB6vSRkUfVJMhZCmExOfiGbj6cAZR/SVFpDOwQw8+FmmOnghx3xTFy2n4JCfbmcS4iKIslYCGEy205cIjuvEF9nG5rWLr8Jch5p48cng1pibqZj+d7zjPtxH/mSkEUVJslYCGEyhrmom/ig0+nK9Vz3Nffl80dbYWmu4/eDF3lm8R5yCwrL9ZxClBdJxkIIkyjUK/48WrTa0q0WhjCV3k19mD+sDVYWZqw/ksSo73ZzLU8Ssqh6JBkLIUxi15k00q7m4WxrSbtAtwo7710hXix4rC22luZsOZ7CyIU7uJpbUGHnF8IUJBkLIUyieKKP8EZeWJhX7FdLp2APvn28HQ7WFmw/lcbwb3aQmZN/6ycKUUlIMhZC3DGlFOuOlN+QptJoF+jGoifb42Rjwe6zlxn6VQzp2XmaxCJEWUkyFkLcsaMXr5CQdg0bSzO61vfULI4Wfi58P6oDrnaWHDiXwaD527mUlatZPEKUliRjIcQdK24Vd6nvia2VuaaxNK3tzJIxYXg4WHMs8QqD5m8nKTNH05iEuBVJxkKIO7b2cPHCENpcov63Bt6OLB3TgVrONpxIzmLgF9GcT7+mdVhC3JQkYyHEHUlIy+boxUzMzXSEh5R97eLyEuTpwNIxYdRxteVMajYD5kVzNvWq1mEJUSJJxkKIO1I80Ue7um642ltpHI0xPzc7lo4JI9DDnvPp1xj4xXZS5R6yqIQkGQsh7kjxkKaed7h2cXnxdbFlyegOBHnYk5iZw7zNJ7UOSYgbSDIWQty21Kxcdp1JA4qmwKysvJxseKNf0fKL/7f9LMlXpEOXqFwkGQshbtuGo8noFTSt7URtF1utw/lP3Rt40tLfhZx8PfM2ndI6HCGMSDIWQty24iFN5bVcoinpdDqev7sBAItizspwJ1GpSDIWQtyWq7kFbIm7BFSeIU230jnYg7Z1Xckr0DMn6oTW4QhhIMlYCHFbthxPIa9AT4C7HQ28HbQOp1R0Oh0T/mkd/7AjgQsy9lhUEpKMhRC3pbgXda8KWLvYlDrW86BDkBt5hXo+l9axqCQkGQshyiy/UM+Go/8MaaqgtYtNaUJEUet46a4EEtKyNY5GCEnGQojbEHMqjcycAjwcrGjp76p1OGXWPsidTsHu5BcqaR2LSkGSsRCizIpn3bq7sTfmZlXnEvX1ilvHP+0+R3yqtI6FtiQZCyHKRK9XrC+edasKDGm6mTZ13ejawJMCveLTjXFahyNqOEnGQogyOXA+g8TMHOytzOkY7K51OHdkQkR9AJbvPc/pS7KIhNCOJGMhRJms++cSdfcQL6wttF27+E619HelR4gXhXrFpxukdSy0I8lYCFEmhoUhqmAv6pIU3zv+dd95TiRnaRyNqKkkGQshSu1kShYnkrOwNNdxVyVau/hOhNZx5u7G3ugVzJbWsdBIpU7GhYWFvPHGGwQGBmJra0u9evV45513UEoZyiilmDx5MrVq1cLW1paIiAji4oz/Q6WlpTFkyBCcnJxwcXHhiSeeICtLfgELUVbrDhe1isPqeeBkY6lxNKYz/p97xysPXOB40hWNoxE1UaVOxtOnT2fu3Ll89tlnHD16lOnTpzNjxgw+/fRTQ5kZM2Ywe/Zs5s2bR0xMDPb29vTq1YucnP9NAj9kyBAOHz7M+vXrWbVqFVu2bGH06NFaVEmIKq14SFOvSrp28e1q4utM7yY+KAWz/pTWsah4OnV9M7OS6du3L97e3nz99deGbf3798fW1pZFixahlMLX15cXXniBiRMnApCRkYG3tzcLFy5k0KBBHD16lMaNG7Nz507atGkDwJo1a7j33ns5d+4cvr6+t4wjMzMTZ2dnMjIycHJyKp/KClHJJWXm0P79DQDseDUcLycbjSMyrWOJmfT+ZCsAa8Z3IcRH/q+LG5VXPqjULeOOHTuyYcMGjh8/DsD+/fv566+/uOeeewA4ffo0iYmJREREGJ7j7OxM+/btiY6OBiA6OhoXFxdDIgaIiIjAzMyMmJiYEs+bm5tLZmam0UOImq54bHFLf5dql4gBQnyc6NOsFgCfrJfWsahYlToZv/LKKwwaNIiQkBAsLS1p2bIl48ePZ8iQIQAkJhZdMvP2Nr5k5u3tbdiXmJiIl5dxRxMLCwvc3NwMZf5t6tSpODs7Gx5+fn6mrpoQVc7/LlFX3Yk+bmV8eH10OlhzOJFD5zO0DkfUIJU6GS9dupTFixfz/fffs2fPHr799ls++OADvv3223I976RJk8jIyDA8EhISyvV8QlR2GdfyiT6ZClSfIU0lqe/tyH3Ni25dfSL3jkUFstA6gP/y4osvGlrHAKGhoZw9e5apU6cyYsQIfHyKfqEnJSVRq1Ytw/OSkpJo0aIFAD4+PiQnJxsdt6CggLS0NMPz/83a2hpra+tyqJEQVdOm2GQK9Ir6Xg4EeVaNtYtv13Ph9Vm5/wJ/Hk3iwLl0mtVx0TokUQNU6pZxdnY2ZmbGIZqbm6PX6wEIDAzEx8eHDRs2GPZnZmYSExNDWFgYAGFhYaSnp7N7925DmY0bN6LX62nfvn0F1EKIqq94SFPPataLuiT1PB14oEVtAD5ef1zjaERNUamTcb9+/Xjvvff4/fffOXPmDL/88gsfffQRDz74IAA6nY7x48fz7rvvsmLFCg4ePMjw4cPx9fXlgQceAKBRo0b07t2bUaNGsWPHDrZt28bYsWMZNGhQqXpSC1HT5eQXsim26OpSdb5ffL1nw+tjbqYjKjaFPfGXtQ5H1ACVOhl/+umnPPzwwzzzzDM0atSIiRMnMmbMGN555x1DmZdeeolnn32W0aNH07ZtW7KyslizZg02Nv/r7bl48WJCQkIIDw/n3nvvpXPnzsyfP1+LKglR5fx98hJX8wrxcbIhtLaz1uFUiEAPex5qKa1jUXEq9TjjykLGGYua7JWfD/DjzgSGhwXw9v1NtQ6nwsSnZtPjw00U6BU/PRVGm7puWockKoEaOc5YCKGtwuvWLq4pl6iL+bvb8UibOgB8/Ke0jkX5kmQshLipPfGXSb2ah7OtJe0Ca17LMPKuYCzNdWw7kcr2U6lahyOqsTIPbcrNzSUmJoazZ8+SnZ2Np6cnLVu2JDAwsDziE0JoaO2hook+wkO8sDSveb/d67jaMbCtH4u2x/PR+uMsGd0BnU6ndViiGip1Mt62bRuzZs1i5cqV5Ofn4+zsjK2tLWlpaeTm5hIUFMTo0aN56qmncHR0LM+YhRAVQCn1v7WLa8CQppuJvCuYpTvPseN0GtEnU+kY7KF1SKIaKtVP3fvuu4+BAwdSt25d1q1bx5UrV0hNTeXcuXNkZ2cTFxfH66+/zoYNG2jQoAHr168v77hFFZSTX8i1vEKtwxClFJt0hfi0bKwtzOjawFPrcDRTy9mWwe2KpsT9aP1xpM+rKA+lahn36dOHn3/+GUvLktcvDQoKIigoiBEjRnDkyBEuXrxo0iBF1ZeTX8h9n/1FenY+a8Z3xc3eSuuQxC2sPVTUKu5S3xM7q0o9WV+5e+auYH7YmcCus5fZGnepRv84EeWjVC3jMWPGYGlpSWFhIVu2bCE9Pf2mZRs3bkx4eLip4hPVxKLtZzmelEXylVwWbDutdTiiFNYdKbpfXJMvURfzdrJhaPsAoKhntbSOhamVqUeGubk5PXv25PJlmZFGlF7GtXw+izph+Hvh32fIzMnXMCJxKwlp2Ry+kImZDiIaSTIGeKp7EDaWZuyNT2fT8RStwxHVTJm7RzZt2pRTp06VRyyimvpi80nSs/Op7+VAsJcDV3IKWLT9rNZhif9QPLa4bV03uaXwDy9HG4aH1QWKZuWS1rEwpTIn43fffZeJEyeyatUqLl68SGZmptFDiOslZebwzT+XpV/s1ZBnutcD4Outp6UzVyX2v0vUNWuij1sZ0zUIOytzDpzLYMPR5Fs/QYhSKnMyvvfee9m/fz/33XcfderUwdXVFVdXV1xcXHB1dS2PGEUV9smfceTk62kd4Mrdjb3p19yXOq62pF7N48ed8VqHJ0qQdjWPHafTgOq9dvHtcHewZkTHuoD0rBamVeYuklFRUeURh6iGTqZksXRXAgCv3BOCTqfD0lzHU93q8fqvh5i/5RRD2gdgZVHzJpOozDYcTUKvoHEtJ/zc7LQOp9IZ3SWI7/4+w5GLmaw9nETvpnL1QNy5Mifjbt26lUccohr6YG0shXpFRCMv2l43yf7Dreswe0McFzNy+GXvOQa29dcwSvFvaw/XzLmoS8vV3oqRnQL5LOoEn/x5nJ6NvTEzk1m5xJ257SZJdnY2x44d48CBA0YPIQD2xl9m9aFEzHTwYq8Qo302luaM7hoEwNxNJyko1GsRoihBdl4BW+OKegrLkKabe7JLII7WFhxLvMLqf6YMFeJOlDkZp6Sk0LdvXxwdHWnSpAktW7Y0egihlGLa6mMAPNSqDg19bpwedXA7f1zsLDmTms3vB2WSmMpiy/EUcgv0+LvZEVLC+yaKuNhZ8Xjnovn4P/nzOIV6uXcs7kyZk/H48eNJT08nJiYGW1tb1qxZw7fffkv9+vVZsWJFecQoqphNx1OIOZ2GlYUZE+5uUGIZe2sLHu9U9GU2J+okevkyqxTW/XOJumdjb1kQ4RYe7xyIk40FcclZ8oNS3LEyJ+ONGzfy0Ucf0aZNG8zMzAgICGDo0KHMmDGDqVOnlkeMogrR6xXT/2kVP9axLrVdbG9adkRYXRysLYhNusKGYzJMRGv5hXrD+yBDmm7N2daSUV2KbrdI61jcqTIn46tXr+Ll5QWAq6srKSlF95dCQ0PZs2ePaaMTVc5v+89zLPEKjjYWhjHFN+NsZ8mwsKIpBj+LOiHDRDS243QaGdfycbe3onWADFMsjcc61cXFzpJTKVdZsf+81uGIKqzMybhhw4bExsYC0Lx5c7744gvOnz/PvHnzqFWrlskDFFVHbkEhH6w9DsDT3evhYnfrmZse7xSItYUZ+xPS2XZCFm/X0rrDRR2RIhp5Yy69g0vF0cbS0Blx1p9x0hlR3LYyJ+Nx48YZVmWaMmUKq1evxt/fn9mzZ/P++++bPEBRdSzeHs/59Gt4O1kzsmNgqZ7j6WjN4HZFQ5s+v27+alGxrl+7uFdT6UVdFiPC6uJmb8WZ1Gx+2SutY3F7ypyMhw4dymOPPQZA69atOXv2LDt37iQhIYGBAweaOj5RRWTm5PPpxjgAxkc0wNbKvNTPHd01CAszHdGnUtl9VhYh0cLB8xlczMjBzsqcjvU8tA6nSrG3tmDMP63j2RvjyJfWsbgNdzT1kVIKW1tbWrVqhYeH/Aeuyb7ccorL2fkEedrzSOs6ZXqur4stD7WqDUjrWCvFvai7N/TExrL0P6REkWFhAXg4WJGQdo2fd5/TOhxRBd1WMv76669p2rQpNjY22NjY0LRpU7766itTxyaqiOQrOXy1tWgxiJd6NcTCvOwfq6e7B2Omg43Hkjl8IcPUIYpbWPvP/WKZdev22FlZ8FS3og6Ln248QV6BtI5F2ZT5W3Py5MmMGzeOfv36sWzZMpYtW0a/fv2YMGECkydPLo8YRSU3e0Mc1/ILaeHncttf5oEe9vRp5gvAnE0nTRmeuIVTKVnEJWdhYaaje0MvrcOpsoZ2CMDT0Zrz6ddYtjtB63BEFVPmZDx37ly+/PJLpk6dyn333cd9993H1KlTmT9/PnPmzCmPGEUldvrSVX7cYbwYxO0qHgr1x8GLnEzJMkl84taKO26F1XPH2dZS42iqLhtLcyL/+Qx/tvEEuQWyRKgovTIn4/z8fNq0aXPD9tatW1NQUGCSoETV8cG6WAr0irsaetIhyP2OjtWolhMRjbxQqmjOalExioc0yUQfd25QO398nGy4mJHDkp3SOhalV+ZkPGzYMObOnXvD9vnz5zNkyBCTBCWqhgPn0vn9wEV0Onipd8itn1AKkXcFA/Dr3vOcu5xtkmOKm0vOzGFPfDoAdzeSIU13ysbSnMi7ilrHn0edICdfWseidEq1hOLzzz9v+LdOp+Orr75i3bp1dOjQAYCYmBji4+MZPnx4+UQpKp3rF4N4sEVtGtVyMslxW/q70inYnW0nUpm/5RRv39/UJMcVJVt/tOgSdQs/F3ycbTSOpnoY0NaPuZtOciEjh+9j4g0LSgjxX0rVMt67d6/hcfDgQVq3bo2npycnT57k5MmTeHh40KpVKw4fPlze8YpKYmvcJf4+mYqV+c0Xg7hdxa3jH3cmkHwlx6THFsYMC0PIcokmY21hztge9YGizojX8qR1LG6tVC3jqKio8o5DVCF6/f9axcPCAvBzszPp8cOC3Gnp78Le+HS+3nqaSfc2MunxtbL5eAonk7N4sGVtXO1vPVVoecvMyefvk5cAGdJkag+3rsOcTSc4d/kai2PO8uQ/C0oIcTN3NOmHqJlWHrjAkYuZOFpbGFqxpqTT6Rj7z3EXbT9Lenaeyc9R0XadSePxhTt5e9UROk7byJTfDpGQpu098U2xKeQXKup52lPP00HTWKobKwsznvundTx300my86Rzq/hvpUrGTz31FOfOlW5WmSVLlrB48eI7CkpUXnkFej5cV7QYxJhuQbiVUwuvR4gXIT6OXM0rZOHfZ8rlHBUlNSuXsd/vpVCvcLa15Fp+Id9Gn6XbzCjGfr+Hg+e0meRkrfSiLlcPtqpNgLsdqVfz+C76rNbhiEquVMnY09OTJk2acO+99zJ37lx27tzJ+fPnSU1N5cSJE6xYsYKXXnoJf39/Pv74Y0JDQ8s7bqGRH3bEE5+Wjaejdbl2TNHpdIZW94JtZ8jKrZotC71eMX7JPhIzcwjytGfbKz1Y/GR7utT3QK9g1YGL9PvsL4Z8tZ3Nx1MqbBnJ3IJCNv2zdrFcoi4flub/ax1/sflklf0Mi4pRqmT8zjvvcPz4cTp16sScOXPo0KED/v7+eHl50bBhQ4YPH86pU6eYP38+27dvp1mzZuUdt9BAVm4BszcULQYxLrw+dlal6nJw2+4NrUWQhz0Z1/L5PqZqtiw+jzrB1rhL2FiaMWdIKxysLegU7MH/PdGeP57rwgMtfDE307HtRCojvtnBPbO28svec+W+2MDfJ1O5mleIt5M1zWo7l+u5arL7W/gS5GHP5ex8vq3iV3hE+dKp2/gpfvnyZeLj47l27RoeHh7Uq1fvjmZequwyMzNxdnYmIyMDJyfTDOGpij5ef5xZG+II9LBn3YSuWN7GHNRltXRXAi/9dABPR2u2vnRXlVrE4O8Tlxj6dQx6BTMfbsYjbfxKLHfucjbf/HWGH3fGk/1Pz1tfZxse7xzIoHb+OFib/kfPpOUH+GFHAsM6BPDOAzJ8rDz9uvc845fsw9nWkq0v34WTjcxyVpWVVz64rW9TV1dXmjdvTocOHQgODi7XRHz+/HmGDh2Ku7s7tra2hIaGsmvXLsN+pRSTJ0+mVq1a2NraEhERQVxcnNEx0tLSGDJkCE5OTri4uPDEE0+QlSXTLZZFypVcvtp6CoCJPRtWSCIGeLBlbWq72JJyJZdlu6rOjEbJmTk89+M+9AoeaV3npokYoI6rHZP7NSb6lXBe7NUQDwdrLmTk8O7vR+k4dQMz1hwz6RCvQr1i/REZ0lRR+jX3pZ5n0RWeBX+d0TocUUlV6t7Uly9fplOnTlhaWrJ69WqOHDnChx9+iKurq6HMjBkzmD17NvPmzSMmJgZ7e3t69epFTs7/vryGDBnC4cOHWb9+PatWrWLLli2MHj1aiypVWZ9tjONqXiHN6zhzb2jF3WO0NDdj9D9rxc7bfKpKrBVbUKjn2R/2cikrlxAfx1JPXOJsZ0nkXcH89fJdTH0olCAPezJzCpiz6SSdp0Xxys8HOJF85z8i98Zf5lJWHo42Fnc8ham4NXMzHeMjisbif/XXKTKy8zWOSFRGt3WZuqK88sorbNu2ja1bt5a4XymFr68vL7zwAhMnTgQgIyMDb29vFi5cyKBBgzh69CiNGzdm586dhjm116xZw7333su5c+fw9fW9ZRw1/TL12dSrhH+4mQK94vtR7St88fmc/EI6T4/iUlYuHzzSnIfLuF5yRZu59hifR53E3sqcFc92vu1hQ3q9Yv3RJOZvOcXus5cN2+9u7M2YrkG0qet2W8d9/4+jzN9yigda+PLJoJa3dQxRNnq94p5ZW4lNusKTnQN5vW9jrUMSt6lSXaauKCtWrKBNmzY88sgjeHl50bJlS7788kvD/tOnT5OYmEhERIRhm7OzM+3btyc6OhqA6OhoXFxcjBa3iIiIwMzMjJiYmBLPm5ubS2ZmptGjJvtw3XEK9IquDTwrPBFD0Xy/T3Yp6rk9Z9MJCvWV9vcjUbHJfB5VtMjFtP7N7mj8rpmZjl5NfPj56Y789FQYdzcuuqS8/kgSD8+Lpv/cv1l7OBF9GV4PpZQMadKAmZmOV/sUTV6z8O8znJJVycS/VOpkfOrUKebOnUv9+vVZu3YtTz/9NM899xzffvstAImJRV8q3t7G9728vb0N+xITE/HyMl6j1cLCAjc3N0OZf5s6dSrOzs6Gh5/fze/3VXeHzmewYv8FAF7u3VCzOIZ2CMDJxoJTKVdZc6jk901rF9KvMWHJPgCGdQigX/NbX3UprTZ13fhyeBv+fL4bg9r6YWVuxu6zlxnzf7uJ+HgzP+yIL9WiBMeTsjibmo2VhRndGniaLD5xa90aeHJXQ08K9Ir3/zimdTiikrmtZFxQUMCff/7JF198wZUrVwC4cOGCyTtF6fV6WrVqxfvvv0/Lli0ZPXo0o0aNYt68eSY9z79NmjSJjIwMwyMhoep0HDK16WuKvjTub+FLE1/thsA4WFvwWKei1vFnUScqbDxuaeUV6In8fg/p2fmE1nbm9b7lM4VnsJcD0/o346+X7+KZ7vVw/OcHyqTlB+k8PYrPo0785z3J4uUSuwR7YF8OvbTFf3utT2PMzXT8eTSJv+IuaR2OqETKnIzPnj1LaGgo999/P5GRkaSkpAAwffp0w31bU6lVqxaNGxvfW2nUqBHx8fEA+PgUXWZLSkoyKpOUlGTY5+PjQ3JystH+goIC0tLSDGX+zdraGicnJ6NHTfRX3CW2xl3C0lzHC3dr1youNrJjXeyszDl6MZNNsSlah2Nk+ppj7I1Px9HGgjlDWmFtUb5DsLycbHipdwjRk8J5vU8jfJ1tuJSVy8y1sYRN28DbK49wPv3aDc9be6QoGctEH9oI9nJgWIcAAN5ZdYSCKtAhUVSMMifjcePG0aZNGy5fvoytra1h+4MPPsiGDRtMGlynTp2IjY012nb8+HECAoo+zIGBgfj4+BidNzMzk5iYGMLCwgAICwsjPT2d3bt3G8ps3LgRvV5P+/btTRpvdaLXK0OreEj7APzdTbsYxO1wtbdi6D9fZJWpdbzmUCJf/3UagA8faW7yhTP+i4O1BU92CWLzS3fx8cDmhPg4kp1XyDfbTtN1RhTjf9zLkQtFfR7Op1/j0PlMzHQQ3sjrFkcW5WV8RH2cbS2JTbrCkio0XE+UrzIn461bt/L6669jZWU8J3HdunU5f/68yQIDmDBhAtu3b+f999/nxIkTfP/998yfP5/IyEigaMrE8ePH8+6777JixQoOHjzI8OHD8fX15YEHHgCKWtK9e/dm1KhR7Nixg23btjF27FgGDRpUqp7UNdUfhy5y8HwG9lbmjO1h+sUgbteTnQOxsii6X7r9VJrW4XA29Sov/rQfgFFdAjXrFGVpbsaDLeuwelwXvn28HZ2C3SnUK37dd4F7Z29l2NcxfPrP7GltAtxwd7DWJE4BLnZWTIgomibzw3XHycyRoU7iNpKxXq+nsPDGjiLnzp3D0dHRJEEVa9u2Lb/88gs//PADTZs25Z133uGTTz5hyJAhhjIvvfQSzz77LKNHj6Zt27ZkZWWxZs0abGz+t1D64sWLCQkJITw8nHvvvZfOnTszf/58k8ZaneQX6pm5tuiKxOiu9fCoRF/cXk42DGhTNLRpzqYTmsaSk19I5Pd7uJJTQCt/F17qHaJpPFD0A7VbA08WP9mBVc92pl9zX8x0RetP/7izqBUmE31ob0iHAOp52pN2NY/PNmr7ORaVQ5nHGQ8cOBBnZ2fmz5+Po6MjBw4cwNPTk/vvvx9/f38WLFhQXrFqpqaNM/6/6DO88dthPBys2PziXZWuo09CWjbdP9hEoV7xW2Qnmvu5aBLH678eZNH2eFztLPn9uS74utje+kkaSEjL5uu/TrNkZwIWZjrWTuhaaWOtSaJikxm5YCeW5jrWT+hGXQ97rUMSpVBpxhl/8MEHbNu2jcaNG5OTk8Ojjz5quEQ9ffp0kwUmtHE1t4BZG4p+qT8XXr/SJWIAPzc7HmhRGyi6d6yF3/adZ9H2eHQ6+Hhgi0qd3Pzc7HjzvibseC2cTS92r9Sx1iR3NfSiWwNP8gsV7/9xVOtwhMbKnIz9/PzYv38/r732GhMmTKBly5ZMmzaNvXv33jCeV1Q9X/91mktZuQS42zGorb/W4dzU093rodMVTYBxLLFiJ2U5kZzFpOUHARh7VzDdG1aNz72jjaXcK65kXu/TCHMzHeuOJPH3CRnqVJOVKRnn5+dTr1494uLiGDJkCDNmzGDOnDk8+eSTRj2rRdWUmpXL/C1Fi0G80LMhVhaVd06YYC8H7mla1Flq7qaTFXbea3mFPLN4N9l5hYQFuRvmHBbidtT3dmRo+6IfvW+vOlKpZ5cT5atM37aWlpZGCzCI6uWzqBNk5RbQtLYTfUNraR3OLT3TvaiX98r9Fzhz6WqFnPON3w5xPCkLDwdrZg1ugblZ9V06VFSM8RENcLKx4FjiFZbKUKcaq8xNn8jISKZPn05BQUF5xCM0kpCWzaLtZwF4pXcjzKpAkmla25m7GnqiVzBvc/m3jpfuSuCn3ecw08HswS3wcrS59ZOEuAVXeyvDFZYP1sbKUKcaqszJeOfOnSxfvhx/f3969erFQw89ZPQQVdNH64+TX6joHOxB5/oVvxjE7Yq8q6h1/POec1woYcYpUzl6MZM3fj0EwPN3N9BkwQxRfQ0LCyDI057Uq3l8rlGnRKGtMidjFxcX+vfvT69evfD19TVaUMHZWbu5i8XtO3Ihk1/3FU3Y8nIlGCtbFm3qutE+0I38QsWXW0+Vyzmu5OTzzOI95Bbo6dbA03B5XAhTsTQ34/V/VnVa8NcZzqZWzG0XUXmUedxKdRxHXNPNWHsMpaBvs1qE1ql6P6jG9ggm5usd/LAjnsi7gk06SYlSiknLD3L60lVqOdvw8cAWVeISvqh67mroRZf6HmyNu8TUP44xb1hrrUMSFajydpcVFeLvk5fYFJuChZmOiT21XwzidnQO9qBZHWdy8vV8888c0aayaPtZVh24iIWZjs8ebYmbvdWtnyTEbdDpdLzRtzFmOlhzOJHok6lahyQqUJmTcWBgIEFBQTd9iKpDKcX0NUXTXj7a3r/KzgCk0+kM947/L/osGddM0wHmwLl03llVNBnDK/eE0DrAzSTHFeJmGng7MqT9/1Z1kqFONUeZL1OPHz/e6O/8/Hz27t3LmjVrePHFF00Vl6gAaw4lsj8hHTsrc57tUV/rcO7I3Y28aeDtwPGkLP4v+gxj77A+GdlF94nzCvX0bOzNE50DTRSpEP9twt0N+HXfeY5czOSn3QkMrMST7wjTKXMyHjduXInbP//8c3bt2nXHAYmKcf1iEE92CcLTsWrPzGRmVtQ6HvfjPr7+6zSPdw7Ezur2pvJUSvHCsv2cu3wNPzdbZj7SHJ1O7hOLiuFmb8W48Pq8+/tRZq49zr2htXC0sdQ6LFHOTHbP+J577uHnn3821eFEOVu6K4FTl67ibm/FqC7Vo9XXJ7QW/m52XM7O5/uY+Ns+zldbT/Pn0SSszM2Y82hrnG3li1BUrOFhdQn0sOdSVi5zKnCGOaEdkyXjn376CTc3uadWFWTnFTDrz6K1bcf2CK42v7otzM14uns9AL7ceorcghuX+ryVXWfSmLbmGABv9GtcJXuXi6rPysKM1+4tGur09dbTJKRlaxyRKG9lvo7XsmVLo0t2SikSExNJSUlhzpw5Jg1OlI8F286QfCUXPzdbHm1fve5HPdSqNrP+jCMxM4efd58vU/1Ss3IZ+/1eCvWKfs19DXMGC6GF8EZedA724K8Tl5i6+ihzhshQp+qszMn4gQceMPrbzMwMT09PunfvTkhI1Zowoia6fDWPef9c9nrh7oZYW5hrHJFpWVuYM7prEG+vOsK8zScZ0KYOFua3vgCk1ysmLN1PYmYOQZ72TH0oVO4TC03pdDpe79uIe2dt5Y+DicScSqV9kLvWYYlyUuZkPGXKlPKIQ1SQz6NOcCW3gEa1nLivua/W4ZSLQe38+CzqBPFp2aw8cIEHW9a55XM+jzrBluMp2FiaMWdIKxwq4TrOouYJ8XFicDt/FsfE8/aqI6wY21kWJ6mmynzPeM+ePRw8eNDw92+//cYDDzzAq6++Sl5enkmDE6Z17nI230X/sxjEPSHVdiYpOysLw1CkOVEn0d9irObfJy7x8Z/HAXjn/qaE+DiVe4xClNbzdzfA0dqCwxcy+XnPOa3DEeWkzMl4zJgxHD9e9MV16tQpBg4ciJ2dHcuWLeOll14yeYDCdD5eH0deoZ6wIHe6VqHFIG7HsLAAHK0tiEvOYt2RpJuWS87M4bkf96FX8EjrOjzSxq8CoxTi1twdrHk2vGhSm5lrY8nKlRXzqqMyJ+Pjx4/TokULAJYtW0a3bt34/vvvWbhwoQxtqsT+PJJk+FX98j0h1f5+qJONJcM7Fs1k9HnUCZS6sXVcUKjn2R/2cikrl4bejrx9f9OKDlOIUhnRsS4B7nakXMll7iZZ1ak6KnMyVkqh1+sB+PPPP7n33nsB8PPz49KlS6aNTpjEucvZvLBsPwCPdaxLCz8XbQOqII93CsTW0pyD5zPYEnfjZ/PjP48TczoNeytz5gxtha1V9erMJqoPawtzXv1nqNOXMtSpWipzMm7Tpg3vvvsu//d//8fmzZvp06cPAKdPn8bb29vkAYo7k1egJ/L7vWRcy6e5n4vhP3RN4O5gzeB2RcOT/r1GbFRsMp9HFfUqn9a/GfU8HSo8PiHKomdjb8KC3Mkr0BvGwovqo8zJ+JNPPmHPnj2MHTuW1157jeDgonsZP/30Ex07djR5gOLOTF19lP0J6TjZWPDZ4JZYWdSshbpGdw3C0lzHjtNp7DyTBsCF9GtMWLIPgGEdAuhXTXuVi+qleFUnnQ5+P3DR8HkW1YNOlXQz7Tbk5ORgbm6OpWX1mM3pepmZmTg7O5ORkYGTU9Xpabvm0EWeWrQHgC+Ht+HuxjXzysWk5Qf4YUcC3Rp48uXwNgycH83e+HRCazvz09Nh1W6stajeij/PobWd+S2yU7UdFVFZlVc+KHMzKSEhgXPn/te9fseOHYwfP57vvvuuWibiqups6lVeXHYAKGod1tREDPBUt3qY6WDz8RSeWbybvfHpONpY8PmjrSQRiyrn+bsb4mBtwcHzGSzfe17rcISJlDkZP/roo0RFRQGQmJjI3XffzY4dO3jttdd4++23TR6gKLuc/EIiv9/DldwCWge48mKvhlqHpKkAd3vDBCd/Hk0G4INHmuPvbqdlWELcFk9Ha8b2KLo9OGPNMa7KUKdqoczJ+NChQ7Rr1w6ApUuX0rRpU/7++28WL17MwoULTR2fuA3v/n6EQ+czcbWz5LNHW2JZiukgq7tn7go2/HtUl0B6NfHRMBoh7szITnXxd7Mj+Uou8zbLqk7VQZm/pfPz87G2Llr79s8//+S+++4DICQkhIsXL5o2OlFmK/ZfYNH2ouUDPx7YglrOthpHVDk08Hbkjb6NGdmpLi/1ljnURdVWNNSp6HM8f8spzqdf0zgicafKnIybNGnCvHnz2Lp1K+vXr6d3794AXLhwAXd3mcRcSydTspj0c9F94si76tG9oZfGEVUuT3QOZEq/JnKlQFQLvZr40D7QjdwCPdNXy1Cnqq7M30rTp0/niy++oHv37gwePJjmzZsDsGLFCsPla1HxcvILiVy8h6t5hbQPdGNCRAOtQxJClKPrhzqt2H+B3WdlqFNVdltDmwoLC8nMzMTV1dWw7cyZM9jZ2eHlVf1aY1VhaNPLPx1gya4EPBys+OO5Lng52WgdkhCiAhT/32/u58IvT3eUoU7lrNIMbYKiKTF3797NF198wZUrVwCwsrLCzk56p2rh593nWLIrAZ0OZg1qKYlYiBrkhV4NsLcyZ39COr/tl6FOVVWZk/HZs2cJDQ3l/vvvJzIykpSUFKDo8vXEiRNNHqD4b3FJV3j910MAjAuvT6fg6r0akxDCmJejDZH/DHWavjqW7DwZ6lQVlTkZjxs3jjZt2nD58mVsbf/XU/fBBx9kw4YNJg1O/LfsvAKeXryHa/mFdA724Nke9bUOSQihgcc7BVLH1ZbEzBy+2HxK63DEbShzMt66dSuvv/46VlZWRtvr1q3L+fNyiaSiKKV4/ZdDnEjOwsvRmk8GtcBc7hUJUSPZWP5vVacvtpzkggx1qnLKnIz1ej2FhYU3bD937hyOjo4mCepmpk2bhk6nY/z48YZtOTk5REZG4u7ujoODA/379ycpyXgx+fj4ePr06WPoYPbiiy9SUFC1L+Us3ZXA8r3nMdPBp4Nb4uFgrXVIQggN3dPUh3Z13cjJ1zNDVnWqcsqcjHv27Mknn3xi+Fun05GVlcWUKVMMaxuXh507d/LFF1/QrFkzo+0TJkxg5cqVLFu2jM2bN3PhwgUeeughw/7CwkL69OlDXl4ef//9N99++y0LFy5k8uTJ5RZreTt6MZPJvx0G4IWeDWkfJOO7hajprh/q9Ou+C+yJv6x1SKIsVBnFx8erxo0bq0aNGikLCwvVoUMH5e7urho2bKiSkpLKerhSuXLliqpfv75av3696tatmxo3bpxSSqn09HRlaWmpli1bZih79OhRBajo6GillFJ//PGHMjMzU4mJiYYyc+fOVU5OTio3N7dU58/IyFCAysjIMF2lbtOVnHx118woFfDyKjXimxhVWKjXOiQhRCUycek+FfDyKnX/Z38pvV6+H0ytvPJBmVvGfn5+7N+/n9dee40JEybQsmVLpk2bxt69e8ttjHFkZCR9+vQhIiLCaPvu3bvJz8832h4SEoK/vz/R0dEAREdHExoairf3/1Yt6tWrF5mZmRw+fLjE8+Xm5pKZmWn0qAyUUkxafpBTl65Sy9mGjwa0kDGFQggjL/ZqiJ2VOfsS0lmx/4LW4YhSsihL4fz8fEJCQli1ahVDhgxhyJAh5RWXwY8//siePXvYuXPnDfsSExOxsrLCxcXFaLu3tzeJiYmGMtcn4uL9xftKMnXqVN566y0TRG9ai2LiWbn/AhZmOj57tCVu9la3fpIQokbxcrIh8q5gZq6NZdrqY/Rs7IOtlSwVWtmVqWVsaWlJTk5OecVyg4SEBMaNG8fixYuxsam4iSwmTZpERkaG4ZGQkFBh576ZQ+czeGflEQBe7h1C6wA3jSMSQlRWT3QOpLaLLRczcpi/RYY6VQVlvkwdGRnJ9OnTK6Q38u7du0lOTqZVq1ZYWFhgYWHB5s2bmT17NhYWFnh7e5OXl0d6errR85KSkvDxKVoiz8fH54be1cV/F5f5N2tra5ycnIweWsrMyeeZxXvIK9Rzd2NvnuwSqGk8QojKzcbSnEn/rOo0b/NJLmbIUKfKrkyXqaGoV/OGDRtYt24doaGh2NvbG+1fvny5yYILDw/n4MGDRttGjhxJSEgIL7/8Mn5+flhaWrJhwwb69+8PQGxsLPHx8YSFhQEQFhbGe++9R3JysuGe9vr163FycqJx48Ymi7W8KKV4adkB4tOyqeNqywcPN0enk/vEQoj/1ie0FgsDzrDr7GVmronlo4EttA5J/IcyJ2MXFxdD4itvjo6ONG3a1Gibvb097u7uhu1PPPEEzz//PG5ubjg5OfHss88SFhZGhw4dgKKhWI0bN2bYsGHMmDGDxMREXn/9dSIjIw3rMldmC7adYc3hRCzNdXz+aCuc7Sy1DkkIUQXodDom92vMfZ9tY/ne8wzvWJcWfi5ahyVuoszJeMGCBeURx237+OOPMTMzo3///uTm5tKrVy/mzJlj2G9ubs6qVat4+umnCQsLw97enhEjRvD2229rGHXp7I2/zNTVRwF4vU9jmst/JCFEGTSr40L/VnX4ec853l55mJ+f7ihX1iqpUi+hqNfrmTlzJitWrCAvL4/w8HCmTJliND91daXFEorp2Xn0mf0X59Ov0Se0Fp892lL+EwkhyiwpM4fuMzdxLb+Q2YNbcl9zX61DqtI0X0Lxvffe49VXX8XBwYHatWsza9YsIiMjTRaI+B+9XvHC0v2cT79GXXc7pvYPlUQshLgt3k42PNO9HgDT/jjKtbwbpzMW2it1Mv7uu++YM2cOa9eu5ddff2XlypUsXrwYvV5fnvHVSF9uPcWGY8lYWZjx+ZBWONnIfWIhxO0b1TWI2i62XMjIYeHfZ7QOR5Sg1Mk4Pj7eaO7piIgIdDodFy7IDC+mtOtMGjPWxgLwZr8mNPF11jgiIURVZ2NpzvN3NwBg7qYTZGTnaxyR+LdSJ+OCgoIbJt6wtLQkP1/eVFNJzcpl7Pd7KdQr7m/hy+B2flqHJISoJh5oWZuG3o5k5hQwZ/MJrcMR/1Lq3tRKKR577DGj4UA5OTk89dRTRmONTTnOuCbR6xUTlu4nMTOHep72vP+g3CcWQpiOuZmOl3o35Ilvd7Fw2xke61iXWs7VvwNuVVHqZDxixIgbtg0dOtSkwdRkczadYMvxFGwszZgzpDX21mUedSaEEP+pR4gX7eq6seNMGp+sj2P6w81u/SRRIUo9tKkmK++hTdEnUxny1Xb0CmY+3IxH2sjlaSFE+dh99jL95/6NmQ7WTehKsJej1iFVKZoPbRLlI+VKLs/9uBe9godb15FELIQoV60DXLm7sXfRj/9/OosK7Uky1lChXjHux72kXMmlobcj79zf9NZPEkKIO/RSr4aY6WDt4ST2xF/WOhyBJGNNzdoQx98nU7GzMufzIa1kzVEhRIWo7+1I/1Z1AJi++hhyt1J7kow1sjUuhU83xgEw9aFQgr0cNI5ICFGTTLi7AVYWZsScTmPT8RStw6nxJBlrICkzh/E/7kMpGNzOn/tb1NY6JCFEDePrYsuIsAAAZqyJRa+X1rGWJBlXsIJCPc9+v5fUq3k0ruXElH6Vf01lIUT19Ez3YBytLTh6MZMV+2U2RS1JMq5gH64/zo4zaThYWzBnSCtsLOU+sRBCG672Vjz1zyISH66PJa9A1hrQiiTjChR1LJm5m04CML1/M+p62N/iGUIIUb5GdqqLp6M1CWnX+D7mrNbh1FiSjCvIhfRrTFi6D4ARYQH0aVZL24CEEAKws7JgXHh9AD7deIKs3AKNI6qZJBlXEAtzHY18nGhWx5lX+zTSOhwhhDAY2NaPQA97Uq/m8eWWU1qHUyNJMq4gXo42LHqyPQsea4u1hdwnFkJUHpbmZkzs2RCAr7ae4lJWrsYR1TySjCuQuZkOdwfrWxcUQogKdm+oD83qOHM1r5DPNsoSixVNkrEQQgh0Oh0v9w4BYHHMWeJTszWOqGaRZCyEEAKATsEedKnvQX6h4qP1sohERZJkLIQQwqC4dfzb/gscuZCpcTQ1hyRjIYQQBk1rO9O3WS2Ughlrj2kdTo0hyVgIIYSRiT0bYmGmY1NsCttPpWodTo0gyVgIIYSRuh72DGrnB8A0WWKxQkgyFkIIcYPnwutja2nOvoR01h5O0jqcak+SsRBCiBt4OdrwROdAAGauPUZBoSwiUZ4kGQshhCjR6G5BuNpZcjLlKj/vOad1ONWaJGMhhBAlcrKxJPKuYAA+Xh9HTn6hxhFVX5KMhRBC3NTQDgHUdrElMTOHhX+f0TqcakuSsRBCiJuysTRnwt0NAJgTdYKM7HyNI6qeJBkLIYT4Tw+2rE1Db0cycwqYu/mk1uFUS5KMhRBC/CdzMx0v9ipaYnHBttMkZuRoHFH1I8lYCCHELYU38qJNgCu5BXpmbTiudTjVjiRjIYQQt6TT6XjlnqJFJJbuOsfJlCyNI6peKnUynjp1Km3btsXR0REvLy8eeOABYmONl/XKyckhMjISd3d3HBwc6N+/P0lJxrPFxMfH06dPH+zs7PDy8uLFF1+koKCgIqsihBBVXpu6bkQ08qJQr/hgrSyxaEqVOhlv3ryZyMhItm/fzvr168nPz6dnz55cvXrVUGbChAmsXLmSZcuWsXnzZi5cuMBDDz1k2F9YWEifPn3Iy8vj77//5ttvv2XhwoVMnjxZiyoJIUSV9mKvEHQ6WH0okX0J6VqHU23oVBWaATwlJQUvLy82b95M165dycjIwNPTk++//56HH34YgGPHjtGoUSOio6Pp0KEDq1evpm/fvly4cAFvb28A5s2bx8svv0xKSgpWVla3PG9mZibOzs5kZGTg5ORUrnUUQojK7oWl+/l5zznCgtz5flR7dDqd1iFVmPLKB5W6ZfxvGRkZALi5uQGwe/du8vPziYiIMJQJCQnB39+f6OhoAKKjowkNDTUkYoBevXqRmZnJ4cOHSzxPbm4umZmZRg8hhBBFnu/ZACsLM6JPpbIl7pLW4VQLVSYZ6/V6xo8fT6dOnWjatCkAiYmJWFlZ4eLiYlTW29ubxMREQ5nrE3Hx/uJ9JZk6dSrOzs6Gh5+fn4lrI4QQVVdtF1uGdwgAYPrqY+j1VeYCa6VVZZJxZGQkhw4d4scffyz3c02aNImMjAzDIyEhodzPKYQQVUnkXcE4Wltw5GImKw9c0DqcKq9KJOOxY8eyatUqoqKiqFOnjmG7j48PeXl5pKenG5VPSkrCx8fHUObfvauL/y4u82/W1tY4OTkZPYQQQvyPq70VY7oFAfDhuuPkFcgSi3eiUidjpRRjx47ll19+YePGjQQGBhrtb926NZaWlmzYsMGwLTY2lvj4eMLCwgAICwvj4MGDJCcnG8qsX78eJycnGjduXDEVEUKIaujxzoF4OloTn5bNDzvitQ6nSqvUyTgyMpJFixbx/fff4+joSGJiIomJiVy7dg0AZ2dnnnjiCZ5//nmioqLYvXs3I0eOJCwsjA4dOgDQs2dPGjduzLBhw9i/fz9r167l9ddfJzIyEmtray2rJ4QQVZqdlQXPhdcH4NONcVzNlfkbblelTsZz584lIyOD7t27U6tWLcNjyZIlhjIff/wxffv2pX///nTt2hUfHx+WL19u2G9ubs6qVaswNzcnLCyMoUOHMnz4cN5++20tqiSEENXKoLZ+1HW341JWHl9tPa11OFVWlRpnrBUZZyyEEDe3cv8Fnv1hL/ZW5mx56S7cHarvVUcZZyyEEKJS6hNai6a1nbiaV8hnUSe0DqdKkmQshBDijpiZ6Xi5d9EiEou3x5OQlq1xRFWPJGMhhBB3rEt9TzoFu5NXqOfj9bLEYllJMhZCCGESxa3jX/ad5+hFmUa4LCQZCyGEMIlmdVzo06wWSsHMSrTEolKKQ+czmL0hjis5+VqHUyILrQMQQghRfUzs2ZC1hxLZeCyZmFOptA9y1ySOnPxCtp24xIZjyWw8mkxiZg4AwV4O3BtaS5OY/oskYyGEECYT6GHPwLZ+LI6JZ9qaYyx/umOFLbGYmJHDhmNJbDyazLaTl8jJ/98UnbaW5nSp74Gb/a2XzdWCJGMhhBAmNS68Psv3nGdvfDrrjiTRq0nJ6wDcKb1ecfB8BhuOJbPhaBKHLxjfp/Z1tiG8kTfhjbzoEOSOjaV5ucRhCpKMhRBCmJSXkw2Pd67L51Enmbk2lvAQLyzMTdNFKTuvgK1xl9h4NJmNscmkXMk17NPpoKWfC+GNvOkR4kWIj2OFtcrvlCRjIYQQJjemWz0Wx8RzIjmL5XvOM6Dt7a8Lf+5yNhuPJbPhaDLRp1KNVoiytzKnawNPwht5072hJx5VdPYvScZCCCFMzsnGksjuwbz3x1E+/vM497XwLfVl4kK9Yl9COhuPJbHhaDLHEq8Y7fdzsyU8xJuIRt60C3TDyqLqDwySZCyEEKJcDAsLYMG201zIyOG76DOM7lrvpmWv5OSzNe4SG44msyk2mdSreYZ9ZjpoE+BGj0ZeRDTyop6nQ5W5/FxakoyFEEKUCxtLc8bf3YCXfjrA51EnGdjWH2dbS8P++NRsNvzT+o05nUp+4f/WLXK0saBbA08iGnnTrYEnrpW0F7SpSDIWQghRbvq3qsOXW04Rl5zFnE0nCA/xNiTgE8lZRmWDPOzpEeJFeCNv2tR1xdJEnb6qAllCsRRkCUUhhLh9648kMeq7XTdsNzfT0a6uG+GNvOgR4kWQp4MG0ZVNeeUDaRkLIYQoVxGNvOgQ5Mb2U2m42FlyV8Oi5Nu1gafRZeuaTJKxEEKIcqXT6fh6RFvOpmbTwNvBZGOOqxNJxkIIIcqdvbUFjX3lNt/NyM8TIYQQQmOSjIUQQgiNSTIWQgghNCbJWAghhNCYJGMhhBBCY5KMhRBCCI1JMhZCCCE0JuOMS6F4xtDMzEyNIxFCCKGl4jxg6pmkJRmXwpUrRWtp+vnd/uLYQgghqo8rV67g7OxssuPJQhGloNfruXDhAkop/P39SUhIqJELRmRmZuLn5yf1l/pL/aX+WodT4YrrHx8fj06nw9fXFzMz093plZZxKZiZmVGnTh3D5QknJ6ca+WEsJvWX+kv9pf41lbOzc7nUXzpwCSGEEBqTZCyEEEJoTJJxGVhbWzNlyhSsra21DkUTUn+pv9Rf6i/1L5/6SwcuIYQQQmPSMhZCCCE0JslYCCGE0JgkYyGEEEJjkoyFEEIIjdX4ZDx16lTatm2Lo6MjXl5ePPDAA8TGxhqVycnJITIyEnd3dxwcHOjfvz9JSUlGZeLj4+nTpw92dnZ4eXnx4osvUlBQUJFVuS1z586lWbNmhoH8YWFhrF692rC/Ote9JNOmTUOn0zF+/HjDtur8Grz55pvodDqjR0hIiGF/da57sfPnzzN06FDc3d2xtbUlNDSUXbt2GfYrpZg8eTK1atXC1taWiIgI4uLijI6RlpbGkCFDcHJywsXFhSeeeIKsrKyKrkqZ1a1b94b3X6fTERkZCVT/97+wsJA33niDwMBAbG1tqVevHu+8847RvNMV9v6rGq5Xr15qwYIF6tChQ2rfvn3q3nvvVf7+/iorK8tQ5qmnnlJ+fn5qw4YNateuXapDhw6qY8eOhv0FBQWqadOmKiIiQu3du1f98ccfysPDQ02aNEmLKpXJihUr1O+//66OHz+uYmNj1auvvqosLS3VoUOHlFLVu+7/tmPHDlW3bl3VrFkzNW7cOMP26vwaTJkyRTVp0kRdvHjR8EhJSTHsr851V0qptLQ0FRAQoB577DEVExOjTp06pdauXatOnDhhKDNt2jTl7Oysfv31V7V//3513333qcDAQHXt2jVDmd69e6vmzZur7du3q61bt6rg4GA1ePBgLapUJsnJyUbv/fr16xWgoqKilFLV//1/7733lLu7u1q1apU6ffq0WrZsmXJwcFCzZs0ylKmo97/GJ+N/S05OVoDavHmzUkqp9PR0ZWlpqZYtW2Yoc/ToUQWo6OhopZRSf/zxhzIzM1OJiYmGMnPnzlVOTk4qNze3YitgAq6uruqrr76qUXW/cuWKql+/vlq/fr3q1q2bIRlX99dgypQpqnnz5iXuq+51V0qpl19+WXXu3Pmm+/V6vfLx8VEzZ840bEtPT1fW1tbqhx9+UEopdeTIEQWonTt3GsqsXr1a6XQ6df78+fILvhyMGzdO1atXT+n1+hrx/vfp00c9/vjjRtseeughNWTIEKVUxb7/Nf4y9b9lZGQA4ObmBsDu3bvJz88nIiLCUCYkJAR/f3+io6MBiI6OJjQ0FG9vb0OZXr16kZmZyeHDhysw+jtTWFjIjz/+yNWrVwkLC6tRdY+MjKRPnz5GdYWa8f7HxcXh6+tLUFAQQ4YMIT4+HqgZdV+xYgVt2rThkUcewcvLi5YtW/Lll18a9p8+fZrExESj18DZ2Zn27dsbvQYuLi60adPGUCYiIgIzMzNiYmIqrjJ3KC8vj0WLFvH444+j0+lqxPvfsWNHNmzYwPHjxwHYv38/f/31F/fccw9Qse+/LBRxHb1ez/jx4+nUqRNNmzYFIDExESsrK1xcXIzKent7k5iYaChz/YexeH/xvsru4MGDhIWFkZOTg4ODA7/88guNGzdm37591b7uAD/++CN79uxh586dN+yr7u9/+/btWbhwIQ0bNuTixYu89dZbdOnShUOHDlX7ugOcOnWKuXPn8vzzz/Pqq6+yc+dOnnvuOaysrBgxYoShDiXV8frXwMvLy2i/hYUFbm5uVeI1KPbrr7+Snp7OY489BlT/zz7AK6+8QmZmJiEhIZibm1NYWMh7773HkCFDACr0/ZdkfJ3IyEgOHTrEX3/9pXUoFaphw4bs27ePjIwMfvrpJ0aMGMHmzZu1DqtCJCQkMG7cONavX4+NjY3W4VS44hYAQLNmzWjfvj0BAQEsXboUW1tbDSOrGHq9njZt2vD+++8D0LJlSw4dOsS8efMYMWKExtFVrK+//pp77rkHX19frUOpMEuXLmXx4sV8//33NGnShH379jF+/Hh8fX0r/P2Xy9T/GDt2LKtWrSIqKoo6deoYtvv4+JCXl0d6erpR+aSkJHx8fAxl/t3DsPjv4jKVmZWVFcHBwbRu3ZqpU6fSvHlzZs2aVSPqvnv3bpKTk2nVqhUWFhZYWFiwefNmZs+ejYWFBd7e3tX+Nbiei4sLDRo04MSJEzXi/a9VqxaNGzc22taoUSPDpfriOpRUx+tfg+TkZKP9BQUFpKWlVYnXAODs2bP8+eefPPnkk4ZtNeH9f/HFF3nllVcYNGgQoaGhDBs2jAkTJjB16lSgYt//Gp+MlVKMHTuWX375hY0bNxIYGGi0v3Xr1lhaWrJhwwbDttjYWOLj4wkLCwMgLCyMgwcPGr0h69evx8nJ6Yb/6FWBXq8nNze3RtQ9PDycgwcPsm/fPsOjTZs2DBkyxPDv6v4aXC8rK4uTJ09Sq1atGvH+d+rU6YahjMePHycgIACAwMBAfHx8jF6DzMxMYmJijF6D9PR0du/ebSizceNG9Ho97du3r4Ba3LkFCxbg5eVFnz59DNtqwvufnZ2NmZlxGjQ3N0ev1wMV/P7fQUe0auHpp59Wzs7OatOmTUZd/LOzsw1lnnrqKeXv7682btyodu3apcLCwlRYWJhhf3H3/p49e6p9+/apNWvWKE9PzyrRvf+VV15RmzdvVqdPn1YHDhxQr7zyitLpdGrdunVKqepd95u5vje1UtX7NXjhhRfUpk2b1OnTp9W2bdtURESE8vDwUMnJyUqp6l13pYqGs1lYWKj33ntPxcXFqcWLFys7Ozu1aNEiQ5lp06YpFxcX9dtvv6kDBw6o+++/v8ShLS1btlQxMTHqr7/+UvXr168SQ5uUUqqwsFD5+/url19++YZ91f39HzFihKpdu7ZhaNPy5cuVh4eHeumllwxlKur9r/HJGCjxsWDBAkOZa9euqWeeeUa5uroqOzs79eCDD6qLFy8aHefMmTPqnnvuUba2tsrDw0O98MILKj8/v4JrU3aPP/64CggIUFZWVsrT01OFh4cbErFS1bvuN/PvZFydX4OBAweqWrVqKSsrK1W7dm01cOBAozG21bnuxVauXKmaNm2qrK2tVUhIiJo/f77Rfr1er9544w3l7e2trK2tVXh4uIqNjTUqk5qaqgYPHqwcHByUk5OTGjlypLpy5UpFVuO2rV27VgE31Emp6v/+Z2ZmqnHjxil/f39lY2OjgoKC1GuvvWY0LKui3n9ZQlEIIYTQWI2/ZyyEEEJoTZKxEEIIoTFJxkIIIYTGJBkLIYQQGpNkLIQQQmhMkrEQQgihMUnGQgghhMYkGQshhBAak2QsRDX02GOP8cADD2h2/mHDhhlWQoKiOYD79++Pk5MTOp3uhsUH/m3QoEF8+OGH5RylEJWHzMAlRBWj0+n+c/+UKVOYMGECSqkb1qKtCPv376dHjx6cPXsWBwcHAObOncuUKVPYuHEjHh4eeHt7/2c9Dh06RNeuXTl9+jTOzs4VFboQmpH1jIWoYi5evGj495IlS5g8ebLRykMODg6GJKiFTz/9lEceecQohpMnT9KoUSOaNm1aqmM0bdqUevXqsWjRIiIjI8srVCEqDblMLUQV4+PjY3g4Ozuj0+mMtjk4ONxwmbp79+48++yzjB8/HldXV7y9vfnyyy+5evUqI0eOxNHRkeDgYFavXm10rkOHDnHPPffg4OCAt7c3w4YN49KlSzeNrbCwkJ9++ol+/foZnfvDDz9ky5Yt6HQ6unfvDsCcOXOoX78+NjY2eHt78/DDDxsdq1+/fvz44493/oIJUQVIMhaihvj222/x8PBgx44dPPvsszz99NM88sgjdOzYkT179tCzZ0+GDRtGdnY2AOnp6fTo0YOWLVuya9cu1qxZQ1JSEgMGDLjpOQ4cOEBGRgZt2rQxbFu+fDmjRo0iLCyMixcvsnz5cnbt2sVzzz3H22+/TWxsLGvWrKFr165Gx2rXrh07duwgNze3fF4QISoRScZC1BDNmzfn9ddfp379+kyaNAkbGxs8PDwYNWoU9evXZ/LkyaSmpnLgwAEAPvvsM1q2bMn7779PSEgILVu25JtvviEqKorjx4+XeI6zZ89ibm6Ol5eXYZubmxt2dnZYWVnh4+ODm5sb8fHx2Nvb07dvXwICAmjZsiXPPfec0bF8fX3Jy8sjMTGx/F4UISoJScZC1BDNmjUz/Nvc3Bx3d3dCQ0MN27y9vQFITk4GijpiRUVFGe5BOzg4EBISAhTdAy7JtWvXsLa2vmUns7vvvpuAgACCgoIYNmwYixcvNrTIi9na2gLcsF2I6kiSsRA1hKWlpdHfOp3OaFtxAtXr9QBkZWXRr18/9u3bZ/SIi4u74ZJyMQ8PD7Kzs8nLy/vPWBwdHdmzZw8//PADtWrVYvLkyTRv3txoyFNaWhoAnp6eZa6rEFWNJGMhRIlatWrF4cOHqVu3LsHBwUYPe3v7Ep/TokULAI4cOXLL41tYWBAREcGMGTM4cOAAZ86cYePGjYb9hw4dok6dOnh4eJikPkJUZpKMhRAlioyMJC0tjcGDB7Nz505OnjzJ2rVrGTlyJIWFhSU+x9PTk1atWvHXX3/957FXrVrF7Nmz2bdvH2fPnuW7775Dr9fTsGFDQ5mtW7fSs2dPk9ZJiMpKkrEQokS+vr5s27aNwsJCevbsSWhoKOPHj8fFxQUzs5t/dTz55JMsXrz4P4/t4uLC8uXL6dGjB40aNWLevHn88MMPNGnSBICcnBx+/fVXRo0aZdI6CVFZyQxcQgiTunbtGg0bNmTJkiWEhYXd1jHmzp3LL7/8wrp160wcnRCVk7SMhRAmZWtry3ffffefk4PciqWlJZ9++qkJoxKicpOWsRBCCKExaRkLIYQQGpNkLIQQQmhMkrEQQgihMUnGQgghhMYkGQshhBAak2QshBBCaEySsRBCCKExScZCCCGExiQZCyGEEBr7f09Sg3UB41GzAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_pressure(npt_job, window=10, title=\"npt Pressure moving average\")\n", "ax;" ] }, { "cell_type": "markdown", "id": "11f9bcfd-3b0a-4bbf-9455-b3e061398805", "metadata": {}, "source": [ "From this moving average it is easier to see that the pressure is too high compared to the target pressure of 1 bar, so the simulation is not yet in equilibrium.\n", "\n", "Let's also plot the density as a function of time:" ] }, { "cell_type": "code", "execution_count": 21, "id": "b84b63a7-4d06-4874-93f8-5bc6809e297e", "metadata": {}, "outputs": [], "source": [ "def plot_density(job, title=None, window: int = None):\n", " time = job.results.get_history_property(\"Time\", \"MDHistory\")\n", " density = job.results.get_history_property(\"Density\", \"MDHistory\")\n", " density = (\n", " np.array(density)\n", " * Units.convert(1.0, \"au\", \"kg\")\n", " / Units.convert(1.0, \"bohr\", \"m\") ** 3\n", " )\n", " time, density = moving_average(time, density, window)\n", " fig, ax = plt.subplots(figsize=(5, 3))\n", " ax.plot(time, density)\n", " ax.set_xlabel(\"Time (fs)\")\n", " ax.set_ylabel(\"Density (kg/m^3)\")\n", " ax.set_title(title or job.name + \" Density\")\n", " return ax" ] }, { "cell_type": "code", "execution_count": 22, "id": "77ce1ba2-ec1e-4034-8122-ffa37a88b484", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_density(npt_job)\n", "ax;" ] }, { "cell_type": "markdown", "id": "a45d5e71-d2f5-4406-bd2d-4b1a79301490", "metadata": {}, "source": [ "Since the pressure was too high, the barostat increases the size of the simulation box (which decreases the density). Note that the initial density was 400 kg/m^3 which matches the density given to the ``packmol`` function at the top (0.4 g/cm^3)!" ] }, { "cell_type": "markdown", "id": "8c976a2a-4659-4d6b-8f36-ee9db66b3143", "metadata": {}, "source": [ "## Equilibration and Mean squared displacement (diffusion coefficient)\n", "\n", "The mean squared displacement is in practice often calculated from NVT simulations. This is illustrated here. However, best practice is to instead \n", "\n", "* average over several NVE simulations that have been initialized with velocities from NVT simulations, and to\n", "* extrapolate the diffusion coefficient to infinite box size\n", "\n", "Those points will be covered later. Here, we just illustrate the simplest possible way (that is also the most common in practice).\n", "\n", "The mean squared displacement is only meaningful for fully **equilibrated** simulations. Let's first run a reasonably long equilibration simulation, and then a production simulation. These simulations may take a few minutes to complete." ] }, { "cell_type": "code", "execution_count": 23, "id": "fdb5b3ab-f145-4c07-a10a-3952e50ef47e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.04|11:23:47] JOB NVT-equilibration-1 STARTED\n", "[10.04|11:23:47] JOB NVT-equilibration-1 RUNNING\n", "[10.04|11:24:26] JOB NVT-equilibration-1 FINISHED\n", "[10.04|11:24:26] JOB NVT-equilibration-1 SUCCESSFUL\n" ] }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nvt_eq_job = AMSNVTJob(\n", " molecule=box,\n", " settings=s,\n", " name=\"NVT-equilibration-1\",\n", " temperature=300,\n", " thermostat=\"Berendsen\",\n", " tau=200,\n", " timestep=1.0,\n", " nsteps=40000,\n", " samplingfreq=500,\n", ")\n", "nvt_eq_job.run()\n", "ax = plot_energies(nvt_eq_job)\n", "ax;" ] }, { "cell_type": "markdown", "id": "671e0a2c-2f6b-4f54-b002-48a3e1765a52", "metadata": {}, "source": [ "The energies seem equilibrated, so let's run a production simulation and switch to the NHC (Nose-Hoover) thermostat" ] }, { "cell_type": "code", "execution_count": 24, "id": "02a5145f-88d4-46d7-8234-14f38341cc85", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.04|11:24:26] JOB NVT-production-1 STARTED\n", "[10.04|11:24:26] JOB NVT-production-1 RUNNING\n", "[10.04|11:25:16] JOB NVT-production-1 FINISHED\n", "[10.04|11:25:16] JOB NVT-production-1 SUCCESSFUL\n" ] } ], "source": [ "nvt_prod_job = AMSNVTJob.restart_from(\n", " nvt_eq_job,\n", " name=\"NVT-production-1\",\n", " nsteps=50000,\n", " thermostat=\"NHC\",\n", " samplingfreq=100,\n", ")\n", "\n", "nvt_prod_job.run();" ] }, { "cell_type": "code", "execution_count": 25, "id": "18bdc7ef-dc93-4d94-8e4c-5c75d4f472c2", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_energies(nvt_prod_job)\n", "ax;" ] }, { "cell_type": "code", "execution_count": 44, "id": "5a0411a1-e377-43b1-b9df-fb92b8a81f56", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_temperature(nvt_prod_job)\n", "ax;" ] }, { "cell_type": "markdown", "id": "99240249-4409-421c-9e7d-fe42a4b5fc55", "metadata": {}, "source": [ "The simulation seems to be sampling an equilibrium distribution, so it's safe to calculate the mean squared displacement. Let's use the ``AMSMSDJob`` for this. We'll also specify to only calculate the MSD for the carbon atoms of the methane molecules." ] }, { "cell_type": "code", "execution_count": 26, "id": "bdbc25fe-eca5-4b5b-b6bd-4e87eaa4c43e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Calculating MSD for carbon atoms with indices [1, 6, 11, 16, 21, 26, 31, 36]\n", "[10.04|11:25:16] JOB msd-NVT-production-1 STARTED\n", "[10.04|11:25:16] JOB msd-NVT-production-1 RUNNING\n", "[10.04|11:25:16] JOB msd-NVT-production-1 FINISHED\n", "[10.04|11:25:17] JOB msd-NVT-production-1 SUCCESSFUL\n" ] } ], "source": [ "atom_indices = [\n", " i\n", " for i, at in enumerate(nvt_prod_job.results.get_main_molecule(), 1)\n", " if at.symbol == \"C\"\n", "]\n", "print(\"Calculating MSD for carbon atoms with indices {}\".format(atom_indices))\n", "msd_job = AMSMSDJob(\n", " nvt_prod_job,\n", " name=\"msd-\" + nvt_prod_job.name,\n", " atom_indices=atom_indices, # indices start with 1 for the first atom\n", " max_correlation_time_fs=8000, # max correlation time must be set before running the job\n", " start_time_fit_fs=3000, # start_time_fit can also be changed later in the postanalysis\n", ")\n", "msd_job.run();" ] }, { "cell_type": "code", "execution_count": 27, "id": "57ead6ac-b2c6-4e7d-9185-9368fb6db4de", "metadata": {}, "outputs": [], "source": [ "def plot_msd(job, start_time_fit_fs=None):\n", " \"\"\"job: an AMSMSDJob\"\"\"\n", " time, msd = job.results.get_msd()\n", " fit_result, fit_x, fit_y = job.results.get_linear_fit(\n", " start_time_fit_fs=start_time_fit_fs\n", " )\n", " # the diffusion coefficient can also be calculated as fit_result.slope/6 (ang^2/fs)\n", " diffusion_coefficient = job.results.get_diffusion_coefficient(\n", " start_time_fit_fs=start_time_fit_fs\n", " ) # m^2/s\n", " fig, ax = plt.subplots(figsize=(5, 3))\n", " ax.plot(time, msd, label=\"MSD\")\n", " ax.plot(\n", " fit_x, fit_y, label=\"Linear fit slope={:.5f} ang^2/fs\".format(fit_result.slope)\n", " )\n", " ax.legend()\n", " ax.set_xlabel(\"Correlation time (fs)\")\n", " ax.set_ylabel(\"Mean square displacement (ang^2)\")\n", " ax.set_title(\n", " \"MSD: Diffusion coefficient = {:.2e} m^2/s\".format(diffusion_coefficient)\n", " )\n", " return ax" ] }, { "cell_type": "code", "execution_count": 28, "id": "e2a7e241-ccc1-47a6-80c3-ecd7499bdd3e", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_msd(msd_job)\n", "ax;" ] }, { "cell_type": "markdown", "id": "6bd22383-cbbc-4192-be2f-b534abbf3657", "metadata": {}, "source": [ "In the above graph, the MSD is a straight line. That is a good sign. If the line isn't straight at large correlation times, you would need to run a longer simulation. The diffusion coefficient = slope/6.\n", "\n", "The plot ends at 8000 fs (``max_correlation_time_fs``), and the linear fit is started from 3000 fs (``start_time_fit_fs``). You can also change the start of the linear fit in the postprocessing:" ] }, { "cell_type": "code", "execution_count": 29, "id": "e39380b5-d77f-44de-b64e-851063689d79", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_msd(msd_job, start_time_fit_fs=7000);" ] }, { "cell_type": "markdown", "id": "4f5a5aa5-5980-4a2e-a844-5db98cb01e7a", "metadata": {}, "source": [ "## Radial distribution function\n", "\n", "Similarly to the MSD, a radial distribution function (RDF) should only be calculated for an **equilibrated** simulation.\n", "\n", "Let's calculate and plot the C-H RDF. Note that the RDF should only be calculated for distances up to half the shortest lattice vector length (for orthorhombic cells)." ] }, { "cell_type": "code", "execution_count": 30, "id": "0ee3121d-ffd9-4330-a968-575dcc4e6c8a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.04|11:25:17] JOB rdf-C-H-NVT-production-1 STARTED\n", "[10.04|11:25:17] JOB rdf-C-H-NVT-production-1 RUNNING\n", "[10.04|11:25:17] JOB rdf-C-H-NVT-production-1 FINISHED\n", "[10.04|11:25:17] JOB rdf-C-H-NVT-production-1 SUCCESSFUL\n" ] } ], "source": [ "mol = nvt_prod_job.results.get_main_molecule()\n", "atom_indices = [i for i, at in enumerate(mol, 1) if at.symbol == \"C\"]\n", "atom_indices_to = [i for i, at in enumerate(mol, 1) if at.symbol == \"H\"]\n", "\n", "# rmax = half the shortest box length for orthorhombic cells\n", "rmax = min([mol.lattice[0][0], mol.lattice[1][1], mol.lattice[2][2]]) / 2\n", "\n", "rdf_job = AMSRDFJob(\n", " nvt_prod_job,\n", " name=\"rdf-C-H-\" + nvt_prod_job.name,\n", " atom_indices=atom_indices, # from C\n", " atom_indices_to=atom_indices_to, # to H\n", " rmin=0.5,\n", " rmax=rmax,\n", " rstep=0.1,\n", ")\n", "rdf_job.run();" ] }, { "cell_type": "code", "execution_count": 31, "id": "85039822-412e-4db2-92f6-08f6375f7cf8", "metadata": {}, "outputs": [], "source": [ "def plot_rdf(job, title=\"\"):\n", " fig, ax = plt.subplots(figsize=(5, 3))\n", " r, rdf = job.results.get_rdf()\n", " ax.plot(r, rdf)\n", " ax.set_xlabel(\"r (angstrom)\")\n", " ax.set_ylabel(\"g(r)\")\n", " ax.set_title(title or job.name + \" RDF\")\n", " return ax" ] }, { "cell_type": "code", "execution_count": 32, "id": "736bd39e-0b5f-4234-90ca-e150354e2236", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_rdf(rdf_job)\n", "ax;" ] }, { "cell_type": "markdown", "id": "b0d425f3-278a-4412-8824-4e748254aa0d", "metadata": {}, "source": [ "The covalent C-H bonds give rise to the peak slightly above 1.0 angstrom. The RDF then slowly approaches a value of 1, which is the expected value for an ideal gas." ] }, { "cell_type": "markdown", "id": "d0bbb272-7832-4d25-99ee-f8ea0860f61e", "metadata": { "tags": [] }, "source": [ "## Relation to AMSJob and AMSAnalysisJob\n", "\n", "The ``AMSNVEJob``, ``AMSNVTJob``, and ``AMSNPTJob`` classes are just like normal ``AMSJob``. The arguments populate the job's ``settings``.\n", "\n", "Similarly, ``AMSMSDJob``, ``AMSRDFJob``, and ``AMSVACFJob`` are normal ``AMSAnalysisJob``.\n", "\n", "Let's print the AMS input for the ``nvt_prod_job``. Note that the initial velocities (and the structure) come from the equilibration job." ] }, { "cell_type": "code", "execution_count": 33, "id": "511070a8-52f6-4d2a-b0dc-aafc0a6fcf08", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MolecularDynamics\n", " BinLog\n", " DipoleMoment False\n", " PressureTensor False\n", " Time False\n", " End\n", " CalcPressure False\n", " Checkpoint\n", " Frequency 1000\n", " End\n", " InitialVelocities\n", " File /Users/ormrodmorley/Documents/code/ams/amshome_fix2026/userdoc/PythonExamples/molecular-dynamics-intro/plams_workdir.002/NVT-equilibration-1/ams.rkf\n", " Type FromFile\n", " End\n", " NSteps 50000\n", " Thermostat\n", " Tau 200\n", " Temperature 300\n", " Type NHC\n", " End\n", " TimeStep 1.0\n", " Trajectory\n", " SamplingFreq 100\n", " WriteBonds True\n", " WriteCharges True\n", " WriteEngineGradients False\n", " WriteMolecules True\n", " WriteVelocities True\n", " End\n", "End\n", "\n", "Task MolecularDynamics\n", "\n", "System\n", " Atoms\n", " C 5.5161868740 7.2872591749 5.2351840235 region=methane\n", " H 5.3258830720 0.2766112825 5.3223538156 region=methane\n", " H 5.2280067421 6.6822584883 6.0799014126 region=methane\n", " H 6.6001634200 6.9941186306 5.1262988978 region=methane\n", " H 5.0017360203 6.8906104674 4.2785125756 region=methane\n", " C 0.6286369462 7.1443675534 1.2871301331 region=methane\n", " H 0.3624698330 8.0712046470 0.7616460990 region=methane\n", " H 1.4279785515 6.6393015060 0.6277806228 region=methane\n", " H 7.7548466040 6.5636547018 1.4540447637 region=methane\n", " H 1.0903265741 7.4473558058 2.2424952152 region=methane\n", " C 2.6878980213 1.9691764146 2.6551925910 region=methane\n", " H 3.1514998479 0.9969533377 2.9836862121 region=methane\n", " H 3.2557348006 2.3513485722 1.7909271371 region=methane\n", " H 2.8244894796 2.7253897310 3.4563642249 region=methane\n", " H 1.6589744889 1.7995716709 2.3346749746 region=methane\n", " C 4.6004679696 7.6225954385 0.8748954580 region=methane\n", " H 4.4116646692 6.7580859919 0.2221201730 region=methane\n", " H 3.5658131961 7.8750100408 1.0885991876 region=methane\n", " H 5.1203520202 0.1992598480 0.2129094842 region=methane\n", " H 5.1644669537 7.3640580566 1.7767839847 region=methane\n", " C 6.9595621156 2.8373647856 3.4495687783 region=methane\n", " H 6.7928908248 2.1049040730 4.3373132261 region=methane\n", " H 6.2393038150 2.6436614662 2.5932562516 region=methane\n", " H 8.0102050958 2.9407530670 3.2249671121 region=methane\n", " H 6.5790996634 3.8747825553 3.8380936666 region=methane\n", " C 1.8390127187 5.6308366418 4.1840751339 region=methane\n", " H 1.7788905491 6.6221638865 4.4977938784 region=methane\n", " H 2.6494747386 5.5854579119 3.4429547204 region=methane\n", " H 0.9275235578 5.3538319646 3.6185789008 region=methane\n", " H 2.0949343473 4.9431678885 5.0310366841 region=methane\n", " C 0.3784285996 3.3259127640 7.8450510562 region=methane\n", " H 0.3830214136 4.2670665770 7.3030815224 region=methane\n", " H 7.9451710864 3.4577894747 0.7517487588 region=methane\n", " H 1.4163539872 3.0210068654 8.0683219311 region=methane\n", " H 7.9836890265 2.5798800720 7.1926847888 region=methane\n", " C 4.9426323315 3.6236489589 6.7725823759 region=methane\n", " H 4.1153209678 2.8287827971 6.6285618957 region=methane\n", " H 5.3395206454 3.7441007266 5.8032383364 region=methane\n", " H 5.6816964697 3.2816293642 7.5730693404 region=methane\n", " H 4.5793488614 4.5983928289 7.1677124592 region=methane\n", " End\n", " BondOrders\n", " 1 2 1.0 0 1 0\n", " 1 3 1.0\n", " 1 4 1.0\n", " 1 5 1.0\n", " 6 7 1.0\n", " 6 8 1.0\n", " 6 9 1.0 -1 0 0\n", " 6 10 1.0\n", " 11 12 1.0\n", " 11 13 1.0\n", " 11 14 1.0\n", " 11 15 1.0\n", " 16 17 1.0\n", " 16 18 1.0\n", " 16 19 1.0 0 1 0\n", " 16 20 1.0\n", " 21 22 1.0\n", " 21 23 1.0\n", " 21 24 1.0\n", " 21 25 1.0\n", " 26 27 1.0\n", " 26 28 1.0\n", " 26 29 1.0\n", " 26 30 1.0\n", " 31 32 1.0\n", " 31 33 1.0 -1 0 1\n", " 31 34 1.0\n", " 31 35 1.0 -1 0 0\n", " 36 37 1.0\n", " 36 38 1.0\n", " 36 39 1.0\n", " 36 40 1.0\n", " End\n", " Lattice\n", " 8.1068205709 0.0000000000 0.0000000000\n", " 0.0000000000 8.1068205709 0.0000000000\n", " 0.0000000000 0.0000000000 8.1068205709\n", " End\n", "End\n", "\n", "Engine ForceField\n", " Type UFF\n", "EndEngine\n", "\n", "\n" ] } ], "source": [ "print(nvt_prod_job.get_input())" ] }, { "cell_type": "markdown", "id": "8606b6c1-81f6-43cd-8e41-bd492d15954e", "metadata": {}, "source": [ "And similarly the input to the AMS MD postanalysis program for the ``msd_job``:" ] }, { "cell_type": "code", "execution_count": 34, "id": "c1bafb31-16ce-4833-b011-f17616629b5f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MeanSquareDisplacement\n", " Atoms\n", " Atom 1\n", " Atom 6\n", " Atom 11\n", " Atom 16\n", " Atom 21\n", " Atom 26\n", " Atom 31\n", " Atom 36\n", " end\n", " MaxFrame 80\n", " Property DiffusionCoefficient\n", " StartTimeSlope 3000\n", "end\n", "\n", "Task MeanSquareDisplacement\n", "\n", "TrajectoryInfo\n", " Trajectory\n", " KFFilename /Users/ormrodmorley/Documents/code/ams/amshome_fix2026/userdoc/PythonExamples/molecular-dynamics-intro/plams_workdir.002/NVT-production-1/ams.rkf\n", " end\n", "end\n", "\n", "\n" ] } ], "source": [ "print(msd_job.get_input())" ] }, { "cell_type": "markdown", "id": "22a9acff-b3a1-4459-8719-34304b02e718", "metadata": {}, "source": [ "## Velocity autocorrelation function, power spectrum, AMSNVESpawner\n", "\n", "The Fourier transform of the velocity autocorrelation function gives the power spectrum, containing characteristic frequencies of all the vibrations, rotations, and translations of the molecules.\n", "\n", "To calculate the velocity autocorrelation function, you need to\n", "\n", "* run several short NVE simulations with equilibrated initial velocities\n", "* write the velocities to disk every step\n", "* calculate the autocorrelation function\n", "\n", "For the first two steps, we'll use the ``AMSNVESpawnerJob`` class, initializing NVE simulations from evenly spaced frames in the ``nvt_prod_job`` job. For the last step, we'll use the ``AMSVACFJob``." ] }, { "cell_type": "code", "execution_count": 35, "id": "c8da2530-0999-4016-b8dc-288a61c36e79", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.04|11:25:17] JOB nvespawner-NVT-production-1 STARTED\n", "[10.04|11:25:17] JOB nvespawner-NVT-production-1 RUNNING\n", "[10.04|11:25:17] JOB nvespawner-NVT-production-1/nve1 STARTED\n", "[10.04|11:25:17] JOB nvespawner-NVT-production-1/nve1 RUNNING\n", "[10.04|11:25:23] JOB nvespawner-NVT-production-1/nve1 FINISHED\n", "[10.04|11:25:23] JOB nvespawner-NVT-production-1/nve1 SUCCESSFUL\n", "[10.04|11:25:23] JOB nvespawner-NVT-production-1/nve2 STARTED\n", "[10.04|11:25:23] JOB nvespawner-NVT-production-1/nve2 RUNNING\n", "[10.04|11:25:29] JOB nvespawner-NVT-production-1/nve2 FINISHED\n", "[10.04|11:25:29] JOB nvespawner-NVT-production-1/nve2 SUCCESSFUL\n", "[10.04|11:25:29] JOB nvespawner-NVT-production-1/nve3 STARTED\n", "[10.04|11:25:29] JOB nvespawner-NVT-production-1/nve3 RUNNING\n", "[10.04|11:25:36] JOB nvespawner-NVT-production-1/nve3 FINISHED\n", "[10.04|11:25:36] JOB nvespawner-NVT-production-1/nve3 SUCCESSFUL\n", "[10.04|11:25:36] JOB nvespawner-NVT-production-1 FINISHED\n", "[10.04|11:25:38] JOB nvespawner-NVT-production-1 SUCCESSFUL\n" ] } ], "source": [ "nvespawner_job = AMSNVESpawnerJob(\n", " nvt_prod_job,\n", " name=\"nvespawner-\" + nvt_prod_job.name,\n", " n_nve=3, # the number of NVE simulations to run\n", " samplingfreq=1, # write to disk every frame for velocity autocorrelation\n", " writevelocities=True,\n", " timestep=1.0, # ideally use smaller timestep\n", " nsteps=3000, # 3000 steps (here = 3000 fs) is very short, for demonstration purposes only\n", ")\n", "nvespawner_job.run();" ] }, { "cell_type": "markdown", "id": "5d6397a3-a825-4994-aee1-38db148c884a", "metadata": {}, "source": [ "Let's then create the AMSVACFJobs. The previous NVE jobs are accessed by ``nvespawner_job.children.values()``:" ] }, { "cell_type": "code", "execution_count": 36, "id": "53122da5-f73b-4098-afed-e27332323491", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.04|11:25:38] JOB vacf-nve1-nvespawner-NVT-production-1 STARTED\n", "[10.04|11:25:38] JOB vacf-nve1-nvespawner-NVT-production-1 RUNNING\n", "[10.04|11:25:38] JOB vacf-nve1-nvespawner-NVT-production-1 FINISHED\n", "[10.04|11:25:39] JOB vacf-nve1-nvespawner-NVT-production-1 SUCCESSFUL\n", "[10.04|11:25:39] JOB vacf-nve2-nvespawner-NVT-production-1 STARTED\n", "[10.04|11:25:39] JOB vacf-nve2-nvespawner-NVT-production-1 RUNNING\n", "[10.04|11:25:40] JOB vacf-nve2-nvespawner-NVT-production-1 FINISHED\n", "[10.04|11:25:40] JOB vacf-nve2-nvespawner-NVT-production-1 SUCCESSFUL\n", "[10.04|11:25:40] JOB vacf-nve3-nvespawner-NVT-production-1 STARTED\n", "[10.04|11:25:40] JOB vacf-nve3-nvespawner-NVT-production-1 RUNNING\n", "[10.04|11:25:41] JOB vacf-nve3-nvespawner-NVT-production-1 FINISHED\n", "[10.04|11:25:41] JOB vacf-nve3-nvespawner-NVT-production-1 SUCCESSFUL\n" ] } ], "source": [ "vacf_jobs = []\n", "for job in nvespawner_job.children.values():\n", " vacf_job = AMSVACFJob(\n", " job,\n", " name=\"vacf-\" + job.name + \"-\" + nvespawner_job.name,\n", " max_correlation_time_fs=1000, # 1000 fs is very short, for demo purposes only\n", " )\n", " vacf_jobs.append(vacf_job)\n", " vacf_jobs[-1].run()" ] }, { "cell_type": "markdown", "id": "99b59e92-a9d7-4a3a-bd07-74ef456fb3da", "metadata": {}, "source": [ "Let's get and plot the average velocity autocorrelation function and power spectrum" ] }, { "cell_type": "code", "execution_count": 37, "id": "0e67d3bd-5fbd-4a33-a3cb-ffebba2f0321", "metadata": {}, "outputs": [], "source": [ "def plot_vacf(vacf_jobs):\n", " \"\"\"vacf_jobs is a list of AMSVACFJob, plot the average velocity autocorrelation function\"\"\"\n", " x, y = zip(*[job.results.get_vacf() for job in vacf_jobs])\n", " x = np.mean(x, axis=0)\n", " y = np.mean(y, axis=0)\n", " fig, ax = plt.subplots(figsize=(5, 3))\n", " ax.plot(x, y)\n", " ax.set_xlabel(\"Correlation time (fs)\")\n", " ax.set_ylabel(\"Normalized velocity autocorrelation function\")\n", " ax.set_title(\"Average velocity autocorrelation function\")\n", " return ax\n", "\n", "\n", "def plot_power_spectrum(vacf_jobs, ax=None):\n", " x, y = zip(*[job.results.get_power_spectrum() for job in vacf_jobs])\n", " x = np.mean(x, axis=0)\n", " y = np.mean(y, axis=0)\n", " if ax is None:\n", " fig, ax = plt.subplots(figsize=(5, 3))\n", " ax.plot(x, y)\n", " ax.set_xlabel(\"Frequency (cm^-1)\")\n", " ax.set_ylabel(\"Intensity (arb. units)\")\n", " ax.set_title(\"Average power spectrum\")\n", " return ax" ] }, { "cell_type": "code", "execution_count": 38, "id": "147c672b-a66f-47f0-9bf0-fd045c94d36f", "metadata": {}, "outputs": [ { "data": { "image/png": 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GhITw9onFYnh5eWHp0qVGDe5VcOzYMSQnJ2PHjh3YsWOH1v6tW7eiT58+AID33nsPa9aswcGDBzF48GD89ttvaNq0KVq1asUdr1Ao4Ofnh2XLlul8Pg8PD95jXaWA06dPY+DAgejSpQt++uknuLq6QiwWY8OGDdi2bZvBr1GhUAAAPvzwQ633jkrLli3Lvcbw4cMxc+ZM7Nq1C1OnTsVvv/0GGxsb9O3bl/c8Tk5OvI5f6vR92XjZfH19ERAQgC1btiA4OBhbtmyBRCLBu+++W+55crkcvXv3RmZmJr766is0bdoUFhYWSEpKwqhRo7j7Dij/b5mOacF11T7VRPpKq1KpVOvL0Iu8D7Zs2YJRo0Zh8ODB+PLLL+Hk5ASRSISwsDDExcU9/wtA5UtyIpFI53Zdf78XeV59f3tjP78hXtY9MrZKJ1bVP6m3tzcuXrwIBweHKgvqVbJ161Y4OTlh9erVWvv27NmDvXv3IiIiAmZmZujSpQtcXV2xc+dOdOrUCceOHcM333zDO8fHxwfXrl1Dz549n3vCjt27d8PU1BSHDx/mDRvZsGED7zhPT08oFArEx8fzFmW4d+8e7zhHR0dYWVlBLpejV69ezxWTt7c32rRpg507d2LSpEnYs2cPBg8ezIvPx8cHR48eRceOHfV+EOvj6emJ69evQ6FQ8D6oY2JiuP2q5zh8+DAyMzMNKrVW9LcIDg5GaGgokpOTsW3bNvTv3x92dnblnnPjxg3cuXMHmzZtQnBwMLdd1/KNdnZ2OqvJNEsC+uJUvf7Y2FitfTExMXBwcICFhQXMzMxgbW2Nmzdvlhu7p6en3mupP9/zeJH3we+//44GDRpgz549vHuhWfVvyP+W6v/k7t27XIkcAFJTU5GVlfVCr7UyVO+jrKws3nbNv70hfHx8cP78eZSWlkIsFus8pjbdI2MzuI01Pj6ekqqRFBYWYs+ePXjrrbfw9ttva/1MmjQJubm5XDW8UCjE22+/jb/++gu//vorZDIZryoUAN59910kJSVh3bp1Op8vPz+/wrhEIhEEAgHvG+2DBw+wb98+3nFBQUEAlDNGqVu5cqXW9YYNG4bdu3fr/MBNT0+vMCZAWWr977//sH79emRkZOh87XK5HPPnz9c6VyaTaX2wqOvXrx9SUlJ47bgymQwrV66EpaUlunbtCgAYNmwYGGOYN2+e1jXK+7asGlupL4b3338fAoEAU6ZMwf3793ltXPqovrWrPy9jDCtWrNA61sfHBzExMbx7fe3aNZw5c4Z3nLm5uc44XV1d4e/vj02bNvH23bx5E//88w/69esHQPkeHTx4MP766y/e8CP1+ADl/b5w4QLOnTvH7cvPz8fatWvh5eX1QmMxX+R9oOuenj9/nhcnoP8+6aK6N+Hh4bztqlql/v37V3iNF+Hj4wMAOHXqFLdNLpfrbZapjGHDhiEjIwOrVq3S2qe6d7XpHhmdob2dPvvsM7ZixQqt7StXruT1YiUV27FjBwPA9u3bp3O/XC5njo6ObMCAAdy2f//9lwFgVlZWzM/PT+c5/fr1YwKBgL333nts5cqVLDw8nH3yySfM3t6e11MTAJs4caLWNSIjIxkA1rlzZ/bzzz+zefPmMScnJ9ayZUutLvLDhg3TGm7j7+/PALC5c+dyx6WkpDBPT09mbm7OpkyZwtasWcPCwsLYO++8w+zs7Cp1vxITE5lAIGBWVlbM3t6eN2xC5eOPP+aGwixfvpytWrWKTZkyhbm5ufGG5egbbiORSNjnn3/OVq5cyfWQ1BxuM3LkSO45VqxYwZYvX86GDh2qd7gNY2XDZ9q1a8c2btzItm/fzlJTU3nXfeuttxgAZmtry4qKiiq8HyUlJczHx4c5ODiwBQsWsJUrV7Ju3bpxw502bNjAHXv79m0mFApZ69at2apVq9js2bOZk5MT8/Pz4/UKZowxX19f5uLiwlavXs22b9/Obty4wRgrG27TtGlT9sMPP7DvvvuOOTo6Mjs7O17v5UePHjEXFxfekK+5c+ey5s2baw23sbGxYbNmzWLLly9n/v7+TCAQ6Bxuo/63UwkJCWEWFhY6783zvg9UvV0HDhzI1qxZw2bMmMFsbW1Z8+bNK32fyhtK8u6777LVq1dzj3UNJdHs1asrTn30nd+uXTtmbm7O5syZw1asWMHat2/PAgICdPYKbt68udb5mr3HZTIZ69atGzfcZvXq1ez7779nffr04X2e1cR7VB0MTqxubm7s0qVLWtujoqKYu7u7UYJ6VQwYMICZmpqy/Px8vceMGjWKicVibpiKQqFgHh4eDAD73//+p/OckpIStnjxYta8eXMmlUqZnZ0dCwgIYPPmzWPZ2dnccfoSK2OM/fLLL6xRo0ZMKpWypk2bsg0bNuj8Z8jPz2cTJ05k9vb2zNLSkg0ePJgbHrNo0SLesampqWzixInMw8ODicVi5uLiwnr27MnWrl1bqfvFGGMdO3bU2S1f3dq1a1lAQAAzMzPjvoBMnz6dPX78mDtG1z9hamoqGz16NHNwcGASiYT5+fnxkpOKTCZjP/zwA2vatCmTSCTM0dGRvfnmmywqKoo7RjOxMsbYunXrWIMGDZhIJNI59Oa3335jANhHH31U6ftx+/Zt1qtXL2ZpackcHBzY+PHj2bVr17QSK2OMbdmyhTVo0IBJJBLm7+/PDh8+rPWByRhjZ8+eZQEBAUwikWgNlzh69Cjr2LEjMzMzY9bW1mzAgAHs9u3bWnE9fPiQBQcHM0dHRyaVSlmDBg3YxIkTeUNZ4uLi2Ntvv81sbW2Zqakpa9OmjdY46edNrIw93/tAoVCwhQsXMk9PTyaVSlnr1q3Z33//bdB90vV/UlpayubNm8e8vb2ZWCxmHh4ebObMmVpfoKoqscbFxbFevXoxqVTKjf9UjaF+nsTKmPLL6DfffMO9JhcXF/b222+zuLg47piaeI+qw3MtdH7z5k2t3lv37t1DixYtaKFzgqtXr6J169bYsmULNxMOqdgff/yBwYMH49SpU7yhBISQ2sXgNtaGDRty4xfVHTx4EA0aNDBKUKT20Jw6D1C2kwiFQnTp0uUlRFR7rVu3Dg0aNOCN7SSE1D4GD0IKDQ3FpEmTkJ6ezk06EBkZiaVLl2o1PJO67/vvv0dUVBS6d+8OExMTHDx4EAcPHsRHH32kNbSH6LZjxw5cv34d+/fvx4oVK2j5RUJqOYOrggHg559/xoIFC/D48WMAykmR586dy+vyT14NR44cwbx583D79m3k5eWhfv36GDlyJL755ps6vXqFMQkEAlhaWmL48OGIiIig+0ZILfdciVUlPT0dZmZmsLS0NGZMhBBCSK31QomVEEIIIXwGd15KTU3FyJEj4ebmBhMTE4hEIt4PIYQQ8iozuDFn1KhRSEhIwKxZs+Dq6lrnO1ooFAo8fvwYVlZWdf61EkII0Y0xhtzcXLi5uWnNT63J4KpgKysrnD59Gv7+/i8SY63x6NEj6t1KCCEEAJCYmKi1opImg0usHh4eNWYFgepgZWUFQHkzra2tX3I0hBBCXoacnBx4eHhwOaE8BifW8PBwzJgxA2vWrIGXl9fzxFerqKp/ra2tKbESQsgrrjJNggYn1uHDh6OgoAA+Pj4wNzfXWjIoMzPT0EsSQgghdcZzlVgJIYQQopvBiTUkJKQq4iCEEELqBIPHsSYkJJT7U5VOnTqFAQMGwM3NDQKBQGvhbV1OnDiB119/HVKpFA0bNsTGjRurNEZCCCGvNoNLrF5eXuU23srl8hcKqDz5+flo1aoVxowZg6FDh1Z4fHx8PPr3749PPvkEW7duRWRkJMaNGwdXV1cEBQVVWZyEEEJeXQYn1itXrvAel5aW4sqVK1i2bBkWLFhgtMB0efPNN/Hmm29W+viIiAh4e3tj6dKlAIBmzZrh33//xfLlyymxEkIIqRIGJ9ZWrVppbQsMDISbmxt++OGHSpUkq8u5c+fQq1cv3ragoCBMnTpV7znFxcUoLi7mHufk5LxwHGEHonE8Ng0TuzfEIH/3F74eIYSQmsvgNlZ9mjRpgosXLxrrckaRkpICZ2dn3jZnZ2fk5OToXKAbAMLCwmBjY8P9GGPWpdScItxJzUN6bnHFBxNCCKnVDE6sOTk5vJ/s7GzExMTg22+/RaNGjaoixmo1c+ZMZGdncz+JiYkvfE1TsXJxgqLSqmt/JoQQUjMYXBVsa2ur1XmJMQYPDw/s2LHDaIEZg4uLC1JTU3nbUlNTYW1tDTMzM53nSKVSSKVSo8ahSqyFlFgJIaTOMzixHj9+nPdYKBTC0dERDRs2hImJwZerUu3bt8eBAwd4244cOYL27dtXaxxlJVZFtT4vIYSQ6lepTPj6668jMjISdnZ2OHnyJL744guYm5tXdWxa8vLycO/ePe5xfHw8rl69Cnt7e9SvXx8zZ85EUlISNm/eDAD45JNPsGrVKkyfPh1jxozBsWPH8Ntvv2H//v3VGrcZlVgJIeSVUak21ujoaOTn5wMA5s2bx/1e3S5duoTWrVujdevWAIDQ0FC0bt0as2fPBgAkJyfzJqnw9vbG/v37ceTIEbRq1QpLly7F//3f/1X7UBtTsfI2UxsrIYTUfZUqsfr7+2P06NHo1KkTGGP44YcfYGlpqfNYVZKrCt26dSt3yTpdsyp169ZNa+xtdTOTUOclQgh5VVQqsW7cuBFz5szB33//DYFAgIMHD+psTxUIBFWaWGsrrvNSCSVWQgip6yqVWJs0acL1+BUKhYiMjISTk1OVBlaXUOclQgh5dRjcjVehoORgKFMTZRsrdV4ihJC6z2gzLxH9xCLlbZYr9LcPE0IIqRsosVYDkVA5oQYlVkIIqfsosVYDSqyEEPLqoMRaDbjEWs5QIUIIIXXDc89BWFJSgrS0NK3OTPXr13/hoOoaKrESQsirw+DEevfuXYwZMwZnz57lbWeMQSAQQC6nnq+aKLESQsirw+DEOmrUKJiYmODvv/+Gq6ur1ko3RJtIQImVEEJeFQYn1qtXryIqKgpNmzatinjqJCqxEkLIq8Pgzku+vr7IyMioiljqLFVilVFiJYSQOs/gxLp48WJMnz4dJ06cwJMnT5CTk8P7IdpUiVVBvYIJIaTOM7gquFevXgCAnj178rZT5yX9uBKrnKaDJISQus7gxHr8+PGqiKNOU3VeoppgQgip+wxOrF27dq2KOOq0sjZWKrESQkhd91wTRGRlZeGXX35BdHQ0AKB58+YYM2YMbGxsjBpcXcG1sVJeJYSQOs/gzkuXLl2Cj48Pli9fjszMTGRmZmLZsmXw8fHB5cuXqyLGWs+ESqyEEPLKMLjEOm3aNAwcOBDr1q2DiYnydJlMhnHjxmHq1Kk4deqU0YOs7YTCsjZWVScvTfq2E0IIqV2eq8T61VdfcUkVAExMTDB9+nRcunTJqMHVFaoSK6C7A9PR26loNe8fHLmdWo1REUIIqQoGJ1Zra2skJCRobU9MTISVlZVRgqprhGqJVVd18LjNl5BTJMP4zfTFhBBCajuDE+vw4cMxduxY7Ny5E4mJiUhMTMSOHTswbtw4vP/++1URY63HK7FSMyshhNRpBrexLlmyBAKBAMHBwZDJZAAAsViMCRMmYNGiRUYPsC4QCjRLrKKXFwwhhJAqZXBilUgkWLFiBcLCwhAXFwcA8PHxgbm5udGDqyuoxEoIIa8Og6uCVczNzeHn5wc/P79qTaqrV6+Gl5cXTE1N0bZtW1y4cKHc48PDw9GkSROYmZnBw8MD06ZNQ1FRUTVFqySqoI1V13GEEEJqp0qVWIcOHYqNGzfC2toaQ4cOLffYPXv2GCUwXXbu3InQ0FBERESgbdu2CA8PR1BQEGJjY+Hk5KR1/LZt2zBjxgysX78eHTp0wJ07dzBq1CgIBAIsW7asyuLUJBAIIBQoewTLy5mIXyyixEoIIbVdpRKrjY0NN8bS2tr6pY23XLZsGcaPH4/Ro0cDACIiIrB//36sX78eM2bM0Dr+7Nmz6NixIz744AMAgJeXF95//32cP3++WuMGlKVRhZyVuyarkMaxEkJIrVepxLphwwbu940bN1ZVLOUqKSlBVFQUZs6cyW0TCoXo1asXzp07p/OcDh06YMuWLbhw4QLatGmD+/fv48CBAxg5cqTe5ykuLkZxcTH32FhL4YmEApRWkFhlcpqlnxBCajuD21h79OiBrKwsre05OTno0aOHMWLSKSMjA3K5HM7Ozrztzs7OSElJ0XnOBx98gO+++w6dOnWCWCyGj48PunXrhq+//lrv84SFhcHGxob78fDwMEr8qhVuykusJbSsHCGE1HoGJ9YTJ06gpKREa3tRURFOnz5tlKCM5cSJE1i4cCF++uknXL58GXv27MH+/fsxf/58vefMnDkT2dnZ3E9iYqJRYlGf1pAQQkjdVenhNtevX+d+v337Nq+UKJfLcejQIbi7uxs3OjUODg4QiURITeVP+5eamgoXFxed58yaNQsjR47EuHHjAAB+fn7Iz8/HRx99hG+++QZCofb3CqlUCqlUavT4hZUosRJCCKn9Kp1Y/f39IRAIIBAIdFb5mpmZYeXKlUYNTp1EIkFAQAAiIyMxePBgAIBCoUBkZCQmTZqk85yCggKt5CkSKSdnYOX0zq0K3NJx1fy8hBBCqlelE2t8fDwYY2jQoAEuXLgAR0dHbp9EIoGTkxOXtKpKaGgoQkJCEBgYiDZt2iA8PBz5+flcL+Hg4GC4u7sjLCwMADBgwAAsW7YMrVu3Rtu2bXHv3j3MmjULAwYMqPJYNalKrJRYCSGkbqt0YvX09ASgLCW+LMOHD0d6ejpmz56NlJQU+Pv749ChQ1yHpoSEBF4J9dtvv4VAIMC3336LpKQkODo6YsCAAViwYEG1x66a+4GqggkhpG4TsOesE719+zYSEhK0OjINHDjQKIHVFDk5ObCxsUF2djasra2f+zrtwyKRnF2Evz/rhBbuNrx9XjP2c78/WNT/uZ+DEEJI1TAkFxg8V/D9+/cxZMgQ3LhxAwKBgGurVE0aIZfLnyPkuk9f56XqbuslhBBStQwebjNlyhR4e3sjLS0N5ubmuHXrFk6dOoXAwECcOHGiCkKsG1Q11JpTGlLNMCGE1C0Gl1jPnTuHY8eOwcHBAUKhEEKhEJ06dUJYWBgmT56MK1euVEWctZ6qxKpZQqU2V0IIqVsMLrHK5XJYWVkBUI4tffz4MQBl56bY2FjjRleHlM28xN+u2UtYQYmWEEJqNYNLrC1atMC1a9fg7e2Ntm3b4vvvv4dEIsHatWvRoEGDqoixThDqGceqWWKVMwYhaDJ+QgiprQxOrN9++y3y8/MBAN999x3eeustdO7cGa+99hp27txp9ADrCtVwG80SqWabq1zBIK7eIbaEEEKMyODEGhQUxP3esGFDxMTEIDMzE3Z2di9tObnagOsVXEHVL7W5EkJI7WZwYtXF3t7eGJep08pmXuJv11UVTAghpPaqVGIdOnRopS+4Z8+e5w6mLuPmCq6oKpjWZCWEkFqtUonVxsam4oNIufR1XtKcIZJKrIQQUrtVKrFu2LChquOo8/TNFVxRmyshhJDaxeBxrAAgk8lw9OhRrFmzBrm5uQCAx48fIy8vz6jB1SUiPavbaCZSGSVWQgip1QzuvPTw4UP07dsXCQkJKC4uRu/evWFlZYXFixejuLgYERERVRFnraev81JF41oJIYTULs81V3BgYCCePn0KMzMzbvuQIUMQGRlp1ODqEm6u4AqG11BiJYSQ2s3gEuvp06dx9uxZSCQS3nYvLy8kJSUZLbC6RqSv85JmiZU6LxFCSK1mcIlVoVDoXBru0aNH3BzCRJtQTxur5tzBVGIlhJDazeDE2qdPH4SHh3OPBQIB8vLyMGfOHPTr18+YsdUpQj2T8FNVMCGE1C0GVwUvWbIEffv2ha+vL4qKivDBBx/g7t27cHBwwPbt26sixjqBmyu4oqpgSqyEEFKrGZxYPTw8cO3aNezcuRPXrl1DXl4exo4dixEjRvA6MxE+vTMvUYmVEELqFIMSa2lpKZo2bYq///4bI0aMwIgRI6oqrjpH71zB1HmJEELqFIPaWMViMYqKiqoqljqNVrchhJBXg8GdlyZOnIjFixdDJpNVRTx1lqoqmFW00DklVkIIqdUMbmO9ePEiIiMj8c8//8DPzw8WFha8/bS6jW6CSs4VTImVEEJqN4NLrLa2thg2bBiCgoLg5uYGGxsb3k9VW716Nby8vGBqaoq2bdviwoUL5R6flZWFiRMnwtXVFVKpFI0bN8aBAweqPE5NqhKrZuLUWt2GEishhNRqBpVYZTIZunfvjj59+sDFxaWqYtJr586dCA0NRUREBNq2bYvw8HAEBQUhNjYWTk5OWseXlJSgd+/ecHJywu+//w53d3c8fPgQtra21R67ahJ+zb5JVGIlhJC6xaDEamJigk8++QTR0dFVFU+5li1bhvHjx2P06NEAgIiICOzfvx/r16/HjBkztI5fv349MjMzcfbsWYjFYgDKqRdfBoG+zkuUWAkhpE4xuCq4TZs2uHLlSlXEUq6SkhJERUWhV69e3DahUIhevXrh3LlzOs/5888/0b59e0ycOBHOzs5o0aIFFi5cqHNKRpXi4mLk5OTwfoxB9OxOV7RsHA23IYSQ2s3gzkuffvopPv/8czx69AgBAQFanZdatmxptODUZWRkQC6Xw9nZmbfd2dkZMTExOs+5f/8+jh07hhEjRuDAgQO4d+8ePv30U5SWlmLOnDk6zwkLC8O8efOMHj83jpUmiCCEkDrN4MT63nvvAQAmT57MbRMIBGCMQSAQlFsarG4KhQJOTk5Yu3YtRCIRAgICkJSUhB9++EFvYp05cyZCQ0O5xzk5OfDw8HjhWIRC3XMFU1UwIYTULQYn1vj4+KqIo0IODg4QiURITU3lbU9NTdXbkcrV1RVisRgikYjb1qxZM6SkpKCkpERr6TsAkEqlkEqlxg0eZZ2XaHUbQgip2wxOrJ6enlURR4UkEgkCAgIQGRmJwYMHA1CWSCMjIzFp0iSd53Ts2BHbtm2DQqGA8NlK43fu3IGrq6vOpFqV9E3CT72CCSGkbjG48xIAxMXF4bPPPkOvXr3Qq1cvTJ48GXFxccaOTUtoaCjWrVuHTZs2ITo6GhMmTEB+fj7XSzg4OBgzZ87kjp8wYQIyMzMxZcoU3LlzB/v378fChQsxceLEKo9Vk1DfQufUxkoIIXWKwSXWw4cPY+DAgfD390fHjh0BAGfOnEHz5s3x119/oXfv3kYPUmX48OFIT0/H7NmzkZKSAn9/fxw6dIjr0JSQkMCVTAHlSjyHDx/GtGnT0LJlS7i7u2PKlCn46quvqixGfSq9Hiv1CiaEkFrN4MQ6Y8YMTJs2DYsWLdLa/tVXX1VpYgWASZMm6a36PXHihNa29u3b47///qvSmCpDpKfESlXBhBBStxhcFRwdHY2xY8dqbR8zZgxu375tlKDqIn3DbagqmBBC6haDE6ujoyOuXr2qtf3q1as6pxUkSqrOSxWtv0qJlRBCajeDq4LHjx+Pjz76CPfv30eHDh0AKNtYFy9ezBv/SfjKlo3jb6cSKyGE1C0GJ9ZZs2bBysoKS5cu5Xrgurm5Ye7cubxJIwgfN1dwRTMvUeclQgip1QxOrAKBANOmTcO0adOQm5sLALCysjJ6YHWNSO8k/PzjqMRKCCG123PNvCSTydCoUSNeQr179y7EYvFLWz2mplNNws9odRtCCKnTDO68NGrUKJw9e1Zr+/nz5zFq1ChjxFQnVbYqWKYjsV5/lIU3FhzFrkuJVRcgIYQQozA4sV65coWbGEJdu3btdPYWJkpl41j527WqhnUk1vGbLyE9txhf/n69yuIjhBBiHAYnVoFAwLWtqsvOzq5RK9vUNNxcwRWNY9XReSk1p7jK4iKEEGJcBifWLl26ICwsjJdE5XI5wsLC0KlTJ6MGV5cI9XReotVtCCGkbjG489LixYvRpUsXNGnSBJ07dwYAnD59Gjk5OTh27JjRA6wrKlsVTImVEEJqN4NLrL6+vrh+/TreffddpKWlITc3F8HBwYiJiUGLFi2qIsY6gaY0JISQV4PBJVZAOSHEwoULjR1LnaZv2TgqsRJCSN3yXIk1KysLv/zyC6KjowEAzZs3x5gxY2BjY2PU4OoSbq7gCkqsuobbEEIIqT0Mrgq+dOkSfHx8sHz5cmRmZiIzMxPLli2Dj48PLl++XBUx1gmqmZcqmhBC13AbQgghtYfBJdZp06Zh4MCBWLduHUxMlKfLZDKMGzcOU6dOxalTp4weZF0grKDzkkgogFzBKiyxKhSMuxYhhJCax+DEeunSJV5SBQATExNMnz4dgYGBRg2uLhHqmXlJVUIVi5SJVbNEq0mmYJBQYiWEkBrL4Kpga2trJCQkaG1PTEykyfjLoZorWDNxqvKs5NkBmiVWzbmFSzUHvhJCCKlRDE6sw4cPx9ixY7Fz504kJiYiMTERO3bswLhx4/D+++9XRYx1glBfG+uzxxIT5Z9Cs421VE6JlRBCahODq4KXLFkCgUCA4OBgyGQyAIBYLMaECROwaNEiowdYV1RUFVxWYuUnTs1EqploCSGE1CwGJ1aJRIIVK1YgLCwMcXFxAAAfHx+Ym5sbPbi6RO/MSwp+iVUz8ZbIyk+0hBBCahaDq4LHjBmD3NxcmJubw8/PD35+fjA3N0d+fj7GjBlTFTHWCfom4VdVBYtFehKrRiKVUYmVEEJqNIMT66ZNm1BYWKi1vbCwEJs3bzZKUHWRvjbWsl7BujsvaZZYNRMtIYSQmqXSVcE5OTlgjIExhtzcXJiamnL75HI5Dhw4ACcnpyoJsi4oW92Gv131WKzqvKSReDUTrWYbLCGEkJql0iVWW1tb2NvbQyAQoHHjxrCzs+N+HBwcMGbMGEycOLEqYwUArF69Gl5eXjA1NUXbtm1x4cKFSp23Y8cOCAQCDB48uGoD1INrY9XTeUmqKrFqZF7NquFSGVUFE0JITVbpEuvx48fBGEOPHj2we/du2Nvbc/skEgk8PT3h5uZWJUGq7Ny5E6GhoYiIiEDbtm0RHh6OoKAgxMbGlltafvDgAb744gtumbuXQe8k/BV0XtJKrFRiJYSQGq3SibVr164AgPj4eNSvXx8CQfXP/rNs2TKMHz8eo0ePBgBERERg//79WL9+PWbMmKHzHLlcjhEjRmDevHk4ffo0srKyqjHiMvom4S/rvKRvIXTNEislVkIIqckMHm7z8OFDPHz4UO/+Ll26vFBA+pSUlCAqKgozZ87ktgmFQvTq1Qvnzp3Te953330HJycnjB07FqdPn67weYqLi1FcXMw9zsnJebHAn1FNwq85Y6HCwBIrrX5DCCE1m8GJtVu3blrb1Euvcrn8hQLSJyMjA3K5HM7Ozrztzs7OiImJ0XnOv//+i19++QVXr16t9POEhYVh3rx5LxKqTgKBnhJpBcNtNI+nXsGEEFKzGTzc5unTp7yftLQ0HDp0CG+88Qb++eefqojxueTm5mLkyJFYt24dHBwcKn3ezJkzkZ2dzf0kJiYaJR59nZcqbmOlcayEEFKbGFxi1bWYee/evSGRSBAaGoqoqCijBKbJwcEBIpEIqampvO2pqalwcXHROj4uLg4PHjzAgAEDuG2KZ0nKxMQEsbGx8PHx0TpPKpVCKpUaOXq1CSI0SqCqh/om4dcsoNLMS4QQUrMZXGLVx9nZGbGxsca6nBaJRIKAgABERkZy2xQKBSIjI9G+fXut45s2bYobN27g6tWr3M/AgQPRvXt3XL16FR4eHlUWqy6qXsH6Oifpm4S/ormDCSGE1CwGl1ivX7/Oe8wYQ3JyMhYtWgR/f39jxaVTaGgoQkJCEBgYiDZt2iA8PBz5+flcL+Hg4GC4u7sjLCwMpqamaNGiBe98W1tbANDaXh1UnZc0R8twq9voKbFqHk+T8BNCSM1mcGL19/eHQCDQWie0Xbt2WL9+vdEC02X48OFIT0/H7NmzkZKSAn9/fxw6dIjr0JSQkACh0GiFcKOqcEpDfW2stB4rIYTUKgYn1vj4eN5joVAIR0dH3hSHVWnSpEmYNGmSzn0nTpwo99yNGzcaP6BKUuV7/eNYK9t5iRIrIYTUZAYnVk9Pz6qIo84rK7Hyt5etx6rcX1HnpRKqCiaEkBrN4MQKAPn5+Th58iQSEhJQUlLC2zd58mSjBFbXiPRNacg0Oi9pdW6iEishhNQmBifWK1euoF+/figoKEB+fj7s7e2RkZEBc3NzODk5UWLVQ18bqypPcp2XNBInDbchhJDaxeCePtOmTcOAAQPw9OlTmJmZ4b///sPDhw8REBCAJUuWVEWMdYK+uYI1Oy9pVhVrD7ehqmBCCKnJDE6sV69exeeffw6hUAiRSITi4mJ4eHjg+++/x9dff10VMdYJemde0hpuw0+kmiVcKrESQkjNZnBiFYvF3JAWJycnJCQkAFDOyGSs6f/qogo7L+kZbqM5hSFNwk8IITWbwW2srVu3xsWLF9GoUSN07doVs2fPRkZGBn799deXMvFCbaF35iWNEqtWVbHmJPy0bBwhhNRoBpdYFy5cCFdXVwDAggULYGdnhwkTJiA9PR1r1641eoB1RdmycRVMacj4x2iWUDWrigkhhNQsBpdYAwMDud+dnJxw6NAhowZUV+nrvKTKoaoJIlTHmIh0t8mWyqgqmBBCarKaOf9fHSQUlrWxqpdINUusAL+UqlliLaUSKyGE1GiUWKuJUG0xePXaYM0pDQF+qVazhEvDbQghpGajxFpNRGqJNTmnCMdj0sAYU5vSUC2xqmVezc5LNPMSIYTUbM81pSExnPqiO72XnURBiRw/jXhda0pDAJDLy6kKpsRKCCE1msEl1vv371dFHHWeelVwQYkcAHA0OpWr6lV1VgI0SqwaJVqqCiaEkJrN4MTasGFDdO/eHVu2bEFRUVFVxFQnqWZe4mFliVMkEHDHyHV0XpKKVYmVSqyEEFKTGZxYL1++jJYtWyI0NBQuLi74+OOPceHChaqIrU4R6M6rXOlUJCxLrOrVv6rEayoWAaDESgghNZ3BidXf3x8rVqzA48ePsX79eiQnJ6NTp05o0aIFli1bhvT09KqIs9YT6cisys5Lyt+FQgFMdMwnLOMSK1UFE0JIbfDcvYJNTEwwdOhQ7Nq1C4sXL8a9e/fwxRdfwMPDA8HBwUhOTjZmnLWerqrgUgUrK7EKBFzyVS+xqvabUYmVEEJqhedOrJcuXcKnn34KV1dXLFu2DF988QXi4uJw5MgRPH78GIMGDTJmnLWeQEeJtUSm4NpThUJAJNJuY1X1EFZVBWtOyk8IIaRmMXi4zbJly7BhwwbExsaiX79+2Lx5M/r168eteOPt7Y2NGzfCy8vL2LHWeiKhgJc0i9Um1Fcvscp1lFhNTajESgghtYHBifXnn3/GmDFjMGrUKG4yfk1OTk745ZdfXji4ukYoAORqj4tKyh7xOy+VJU+5Zq9gmtKQEEJqNIMT65EjR1C/fn2uhKrCGENiYiLq168PiUSCkJAQowVZVyjHsqqXWMsSq3rnpbl/3kIDB0ssGuZXllhVJVaahJ8QQmo0g9tYfXx8kJGRobU9MzMT3t7eRgmqrtLswFRUyq8KVk3Uf/HBU+y8lIiEzAIusap6BdOycYQQUrMZnFg11xNVycvLg6mp6QsHVJcJNTowFZbKeftMNBJvTqFMLbEqS6y00DkhhNRsla4KDg0NBaDs3Tp79myYm5tz++RyOc6fPw9/f3+jB6hp9erV+OGHH5CSkoJWrVph5cqVaNOmjc5j161bh82bN+PmzZsAgICAACxcuFDv8VVNc8RNkXpiFZYtLaeSkV+so8Sq/cUmNiUXe68kYWJ3H1iZio0cNSGEEENUOrFeuXIFgLLEeuPGDUgkEm6fRCJBq1at8MUXXxg/QjU7d+5EaGgoIiIi0LZtW4SHhyMoKAixsbFwcnLSOv7EiRN4//330aFDB5iammLx4sXo06cPbt26BXd39yqNVRfNxKleYhXpKLGm5xZXqlfw+M2XkJBZgMSnBVj9wevGDpsQQogBKp1Yjx8/DgAYPXo0VqxYAWtr6yoLSp9ly5Zh/PjxGD16NAAgIiIC+/fvx/r16zFjxgyt47du3cp7/H//93/YvXs3IiMjERwcXC0xq9OcfalYvY1VKIBIo0NYblFZVbCZRJVYGRhjvHGxCZkFAID915Ox+oMqCZ0QQkglGdzGumHDhpeSVEtKShAVFYVevXpx24RCIXr16oVz585V6hoFBQUoLS2Fvb293mOKi4uRk5PD+zEWzRJrybPSp0CgrGIXafw11CeQULWxArqrgwkhhNQMlSqxDh06FBs3boS1tTWGDh1a7rF79uwxSmCaMjIyIJfL4ezszNvu7OyMmJiYSl3jq6++gpubGy85awoLC8O8efNeKFZ9dC1wA5SVZDVLrOqJVaq2XqtMzqCWZwkhhNQglUqsNjY2XNWjjY1NlQZUVRYtWoQdO3bgxIkT5fZenjlzJtdRCwBycnLg4eFhlBhMhLorCFQlWYlIo6pYJtdZYi2RKbiqYUIIITVLpRLrhg0bdP5enRwcHCASiZCamsrbnpqaChcXl3LPXbJkCRYtWoSjR4+iZcuW5R4rlUohlUpfOF5dTES6i6yqEqtqEgiVEpmC67wkNRFyUyIO+ekMPmhbH+M6N+BNfwhAq/2VEEJI9TK4jTU+Ph53797V2n737l08ePDAGDHpJJFIEBAQgMjISG6bQqFAZGQk2rdvr/e877//HvPnz8ehQ4cQGBhYZfFVhmavXxXVxBGqITUqJfKyqmATkYBb4eZ+Rj7+tz8aAH/2JuVjGudKCCEvk8GJddSoUTh79qzW9vPnz2PUqFHGiEmv0NBQrFu3Dps2bUJ0dDQmTJiA/Px8rpdwcHAwZs6cyR2/ePFizJo1C+vXr4eXlxdSUlKQkpKCvLy8Ko1TH7Fm76RnVPlWs8RaXFqWWEVCIa86GABkcoXWhBE5RaVGipYQQsjzMHiu4CtXrqBjx45a29u1a4dJkyYZJSh9hg8fjvT0dMyePRspKSnw9/fHoUOHuA5NCQkJvDmMf/75Z5SUlODtt9/mXWfOnDmYO3dulcaqi96q4GeZVaqjxKrqASwSCGAm4e9Pzi7SOqegWA5YGStiQgghhjI4sQoEAuTm5mptz87Ohlwu13GGcU2aNElvAj9x4gTvcVVWTT8PfZ2XuMSqo41VwZVYy6qCVbIKSmFvKeFtyy+RGStcQgghz8HgquAuXbogLCyMl0TlcjnCwsLQqVMnowZX1+hrYxVwnZf4f45imbysxKojsRbJ5FpVwQUlVf/lhhBCiH4Gl1gXL16MLl26oEmTJujcuTMA4PTp08jJycGxY8eMHmBdUlGvYM021GKZAgqmSqza+wtL5FpTHFJiJYSQl8vgEquvry+uX7+Od999F2lpacjNzUVwcDBiYmLQokWLqoixztDXeamsKlh7ggiZvKzzkubY1cJSHSXWYqoKJoSQl8ngEisAuLm5YeHChcaOpc7TVxWsanrV7IjEK7EKBFpttEWlcm5aRJV8KrESQshL9VyJNSsrC7/88guio5VjKZs3b44xY8bU2lmZqouJvhLrs6pgzfVaZQoFr41VU2GJHKUaJdZC6rxECCEvlcFVwZcuXYKPjw+WL1+OzMxMZGZmYtmyZfDx8cHly5erIsY6Q6ynjVU1pWGvZvx5kGVyxusVbGPGX2u1qFSOUjl/5iUqsRJCyMtlcGKdNm0aBg4ciAcPHmDPnj3Ys2cP4uPj8dZbb2Hq1KlVEGLdoXe4zbOSakMnS5yb2QOrPmgNQLn2qpyVJdYpPRvxkmthqQIlGkOckp4WIuxgNB5nFVbFSyCEEFKB5yqxfvXVVzAxKatFNjExwfTp03Hp0iWjBlfXVDRBBAC42pjB1Ua5SIBMwdQ6LwlQ/zVzXJnVGyPbeQJQdV7il1h//e8h1py8j4Gr/q2Kl0AIIaQCBidWa2trJCQkaG1PTEyElRVN+VMesb7VbTTaVlW9h0vVOi+pOj4JhQJuTuHiUu3hNioZeSVGiZkQQohhDE6sw4cPx9ixY7Fz504kJiYiMTERO3bswLhx4/D+++9XRYx1RmVKrEBZlXGpgnGdl9STryrxluiYK1id5so3hBBCqp7BvYKXLFkCgUCA4OBgyGTKHqhisRgTJkzAokWLjB5gXaI+jtVcIuImcxAKNUusyscyuYJLqOpJWfJsvGuJTKG3xAoAeUUy2JiL9e4nhBBifAYnVolEghUrViAsLAxxcXEAAB8fH5ibmxs9uLpGvWRqYybmEqvm+FauKljOoMrFukqspfLyE2tOUSklVkIIqWbPNY4VAMzNzeHn52fMWOo8idrMSjZmYiRnFwHQURX8rHRaKldA8Ky2Xj35StVKrKr1V9VLwCrZhaXwMPJrIIQQUr5KJdahQ4dW+oJ79ux57mDqOnO1uX6t1YbN6CuxyhQMQoH2BBFcVbBcwY1jtTOXoKCEP8Qmt4gmiyCEkOpWqcRKMyoZh/pcvxZqv2vOyKRKrHIFg0ygLJGqJ1au85KMcVXBLjamSNIYu5pH8wYTQki1q1Ri3bBhQ1XH8UpQT6zqHZk0S6zqHZVK5TpKrDp6BavGvqorr8cwIYSQqmHwcBsAkMlkOHr0KNasWcMtev748WPk5eUZNbi6pksjRwCAnbmYl1g121h1jXfldV4yKRvnqiqxOllpJ9ZiGU1vSAgh1c3gzksPHz5E3759kZCQgOLiYvTu3RtWVlZYvHgxiouLERERURVx1gke9uY49WV32JiLMfuPm9x2zTmEdc0pbKKvxPossZpJhHCykiItt5g7rqiUSqyEEFLdDC6xTpkyBYGBgXj69CnMzMy47UOGDEFkZKRRg6uL6r9mDhszMW/eYJFGCVXXSjZCXuelsl7DqupesUiIjaPbYMGQFujR1AnAq1dizS0qxerj93AnNfdlh0IIeYUZXGI9ffo0zp49C4lEwtvu5eWFpKQkowVW16mXSjXbWAUCAcQiAW/lGn6JVdlWqz5BhFgkhK+bNXzdrHH5YRYAcENxXhXf7ruJP64+xqGbKfjrs05a+y8+yMQPh2MxpLU73m9T/yVESAh5FRhcYlUoFJDLtUtCjx49ormCDVBe5yXN/YBmr2Dl7+rDbaRqY2Sl3FzC2on1aX4Jvt57A1EPn75A9MZzOeEpwo/eQb6eHszFMjliUypXAj14IwUAcCMpG+lqVeIqSw7H4kJ8JmbuuYGi0lerNE8IqT4GJ9Y+ffogPDyceywQCJCXl4c5c+agX79+xoytTlPv+atrDmHNZKtzHKuMXxWsYmqiLNEW6agKnrjtMradT8Bn22rG2rlz/riF8KN38c3eGzr3/+/vaASFn8Lmcw8Qn5GPj3+9hMsJ2l8KUrKLuPZmALibxk/GCgXD7cc53OPrj7J1Pp++BE8IIZVlcGJdunQpzpw5A19fXxQVFeGDDz7gqoEXL15cFTHWSeX1CtbcD5St2aq+r1St85L68eWVWM/GPQEAPH4261NVCz96B++tPYfkbO31YUtkCtxIUia4f+9laO2XKxh+/e8hAGD2H7cw589bOHwrFe9GnOOOScwswMYz8Vrnx6Xxe6jfSctFrlrSjE3JgabN5x6g+ZzDmP77NQNeISGE8BmcWOvVq4dr167h66+/xrRp09C6dWssWrQIV65cgZOTU1XEyLN69Wp4eXnB1NQUbdu2xYULF8o9fteuXWjatClMTU3h5+eHAwcOVHmMlaFeItW1ALp6KVYg4HdekuqYhF99ukTVfl2dl9SPk5Uzz7AxMMYQfvQu/ruvbNvUpL4Ye2GJHIzxV+NJzeEn/1N30gEoZ6TKyCsGYwxjN13E3L9u44td/GT4SGOyjIvxmbzHMSnaJdrwo3cBAL9deoR7adQBihDyfAxOrEVFRTAxMcGHH36I77//Hj/99BPGjRvH6yFcVXbu3InQ0FDMmTMHly9fRqtWrRAUFIS0tDSdx589exbvv/8+xo4diytXrmDw4MEYPHgwbt68qfP46mRiQBurSGO9VlVyLJUztc5L6olXWRWsq/OS+lPlVPGUh+prwj7RsT5sVmEp93t+iRxPC0p5+x891S7lqtxJzcWjp4W4k8ovmfo4WgAAHmcpk/LNpGzsu5KE/54lVtV+zcQanZKDzPyyGPdfT9H/wp5JzSlCSjWV/Gub7ILSV7JaXaFg2HclCb9HPdK7bOP1R1k4dDOZlnV8TsUyOeIz8qHQc/9kcgVSsou0vqhXJ4MTq5OTE0JCQnDkyBEoFNXb63TZsmUYP348Ro8eDV9fX0RERMDc3Bzr16/XefyKFSvQt29ffPnll2jWrBnmz5+P119/HatWrarWuHWRqCVCkY421nInkBCplVhlTOt41ULoqg46m84+wIzd15FdWMob25pXxYk1IbOA+z1NR2eirAJ+sn2sUcpMyiqAPklPC7WSIwC8G+jBXSs9txjvrjmHqTuvYv/1ZABAcHsvAEBMcg7kCoaYlBwUlcpxRqMq+eDNZKw5GYe5f95CTpEy4a89FYfG3x7EooMxuPU4G50XH0eX74/j+qMsrTiKZXKM/OU8+oafQmKm7teRmV+Cc3FPjPYBkJlfoneIValcgX/vZiDhie5Y5AqGm0nZyH72ZaewRM6r0ZArGJKyClEiU+DXcw/QZsFRDFz1Lx5k5ANQ/i0TnhQ8q6W4g9bz/0HA/47g1/8egjEGuYJxr1OuYDh1Jx0HbyTXiGk3GWPIVvtSVypX8P4md1JzsensAzzOKsTx2DS8seAo+oaf4qYQPXknHWEHo3E3NRc/nbiHqTuv4otd17Dq2D0AymFg0ck5UDx73QNXncEnWy7zxrKrpOYU4cP/O49ey07in1u6v9xlF5QiKasQjDHkFpX/BeZ+el65nf8UarU/5R1jrPcoYwxn72Xg96hHOjsYPskrxkebL6HT4mMIOxiNrIIS5BXLuL4kDzLy0WvZSXRfcgL9fjyNo7dTcSXhKfelODGzAL2Xn0K7sEgM/fksbj/O0ZuAq5LBw202bdqEbdu2YdCgQbCxscHw4cPx4YcfIjAwsCri45SUlCAqKgozZ87ktgmFQvTq1Qvnzp3Tec65c+cQGhrK2xYUFIR9+/bpfZ7i4mIUF5f9wXNytNvijEG9xKprpiX1UqxmYlWfhL9YVxurWomVMYY5f97SeZ3cYn4J8XncSc1Fem4xOvi8BoFGyVo9cepqY80u5D9/UlYhWriXzUutq5SrkpJdxK3mY2cuhqlYhD6+zmjb4DXltZ4W4kJ8Jm/FH4EAGPq6O8IORiO/RI7J269g/41kNHG2gr2FcvjYZz0a4qcTcYhJyUXYwRgAyiTzeZ/GCDsYA8aAiJNx2PLfQ659+5d/47Hivda8+PZfT8bpu8pkveSfWK39aTlF6LviNDLzS/BZj4b4vE8Trdd4+FYKjkWn4cN2nmjkbIk/rz6Gm60ZOjVy4I5RKBiEQgGW/hOLlcfuwdlaip0ftYeXgwV3TFGpHMG/XMCFB5kwEQrwv8Et8J7acKO8Yhk+/L/zuJqYBbFIgAYOlriblgt7CylWf9AaDRwtEbL+Am4n8/8X0nKL8cG6/zDQ3x0bzsSjWKbgrbJUVKrArH03serYXTzJK4G5RIRhAfVw41E2Lj3rlW5rLsabLVwACNDE2RKDW7vD1lyC9NxiXHyQiayCUphLRLAxE+P1+nZayyBm5pfgaHQqSuUK+LnbwNfVmve/VVAiw0/H4xCTkoNGzlZo42UPc4kIrTxsYSoWIT23GKM3XsDNpBw0cbaCo5UUZ+My0NTFGhtGv4GsglIMXPUvimUK7v8IANJzizH/r9v4qGsDjNpwAYwBa07e58W27vR99GzmhLGbLiI1pxjN3axxPz2f27/1fAJa1rPBhfinKCiRYVxnb8z76zbXse6jX6PQs6kTzCQi9GnuggEtXbHx7AMs2B8NmYLBTCxCYakcEhMhvn6zKUZ19EZ6bjH+uvYYTwtKEJ2ci6PRqQCAdwPrYcEQP4hFQhSWyKFgDBceZOK7v24jPiMfbbzt8cPbLeH5mgUYYxAIBMjIK8bigzH489pjWJuJ8X6b+ujdzBkFJTIwAO62Zjh8KwX/dzoe2YWlCPC0Qz07M1x7lA2REOjU0BEWEhH230hGfokMbbxew/2MPFxJyAKgXJGrrbc94tLzITERolNDBxyLSeO+kK85eZ+7pxYSEQb6u+NYTCpSc5SfzzEpuRi3+RIA5aQ5w9/wwJl7GYh/9mXvSkIW+v14GgDQ1MUK8we3wBte9lr/Z1XB4MQ6ZMgQDBkyBLm5ufj999+xfft2tGvXDg0aNMCHH36I2bNnV0WcyMjIgFwuh7OzM2+7s7MzYmJidJ6TkpKi8/iUFP3VfGFhYZg3b96LB1yB8hInULkSKwAUPfsQ41cFq9pYFbzqVc0hNi9aYpUrGN5b+x8y80uw7N1WGPp6Pd5+9cSZVVAKmVzB+9DTTKwJTwqw/UIC/Nxt0MLdBk+fJebB/m64nJCF/GIZevs6Y8fFRCTnFHGlnSGt62H2AF8AQFqusmo2NbcIFx/w21U/6twAVqZi+Lpa43JCFvbfUJZiY9UmlHirpRuuPcrm2nMB4M9rj9HQyRLqX9rVS1rHY9JQKldg2/kERMak4fPejbHp3ENu/+FbKcgrlsFSWvbvtuNiIvcte93p+3ivTX38fe0xHK2kGNLaHbGpuZiwJQoKpnz+enZmuPusQ9aGUW+gUyMHTN1xFYdupcDT3hz3n32YpOYUY/rv17Hjo3Y4Gp2K+xn5OH03HRee3QuZgmHGnhtY8k8szCUm6OfniptJ2biamAVA2byguh8ZecUYuf4CbMzEvNKFqViI8Z0b4O/ryYjPyEfEyThuX0GJ8oN+3sDmyCksxeJDMdwHYU6RDBvOPAAAmImVyTIlpwjbLyRy54cdjIGztSmvtkNFKABauNuguZsNLCQi3EnLw9l7GZCplUjMxCI0dVUm0IZOlvj5ZByXzI5Gp+FnKGN1sJRg3sAW2HAmHjeTcrj3geq1307OwYQtUcovrxpNKo2dLXEnNQ+HbqXgkI5S5WB/N8Sk5CImJRdvrfyX237rWa/0xs6WCPC0x/YLCfhqd1lv+IM3ldeyNjVBBx8HHLqVgsgYZTPX39eTEX7kDvd3FgqAwmc1UiUyBeb+dRtXErNw+m4Gr0lD5bdLj/A4qwgyhQL/3c/U2n8hPhN9w0/Dw94MD54UQK5gvKrq9Nxi/Bh5Fz9G3tU6V0WzA6HqvqokZj4CoCwYOFpKkZRViOOxZf9n9569vz3szfBxFx9sPveAa+rJL5Fj+4UEAEATZyusHtEam84+xPHYNBSVKpCRV8x1dHSxNsWakQFYcyoOB54NwYtJycVXv1/HP9O6aC16UhWeez1WKysrjB49GqNHj8bt27cxYsQIzJs3r8oSa3WZOXMmr5Sbk5MDDw/jr2pa8ThW/YlXfcyq6gNed69gOR49LfuAuqvRU/ZFq+GSswu5f2Jd1bI5Gokzs6CEN6dxlkab6oID0QCU/1invuyOzHzlfi8HCyx91x+lcgX2XUnCjouJSMkuQs6zRQ3cbMuu6WAhhcREiBKZAoeffegpv6naoYmzcpx1C3cbXH72rVmdg6UUjZ0tsWBwCyw6FIPX69th49l4JGYWcrGN6uCFv68/RkZeCUJ7N8bGsw+QmV+CVcfuYcWzDx1VUpaIhDCTiJBdWIpt5x9i//VkZOSVYM3IAPx57TH3vEWlCnRcdIx7LJMz3EjKhupzrbBUzvvbLToYgyGp7twXA9WH7Yft6mN3VBIuPMhEp8XHeD2/JSZCbBz9Bv67n4kfI+8+a/8u4ZKi1ESIHR+1g8REiMTMQjR0ssCC/dE4HpuO9NxiuNqYYtv4dhAJBLAxF8PGTIz32tRH6M6rSMoqxIRuPhjs746oh0/R0MkSbrbKPhcdGzrg2qMstPawQ0JmPnZcTISDpRSTezSCm60pDt1KQUyy8r1zLCYNt5NzkJBZAIEAaOpiDXdbMxSWypCSXYS49Hxcf5StNVTK19Uar1lKcC0xCzlFMlxJyOJKRYDyg3Zke0/EpeXh5uNsPMkrQUZeCSY+G3JmJTXB5rFtcC0xC/klcjR1scKUHVe594iV1ASHp3XBrcfKZoN+fq6Y/cdNbD2v/KC3Mxfjn2ld8cfVJGQVlGJi94Y4H/8EozZcBADYW0iweFhLLD9yByKhACve84erjRmuP8rCrcc5aFnPBnbmEpy8kw4zsQhrgwPRrsFrOH//Ca4mZiEttxibzz3g/s5TezXCp90a4n5GHlysTfHruYdYeuQO/riqfE81crJE2wb2kJqI8G6gBxIyC/Dp1iitxGcuEeGDNvXxTqAHZu65jssJWVp9FlrVs8GXQU2RVViCTWcf4OGTAlhKTSBTMCQ+LYC3gwXGd26AVvVscTYuAynZRfCvbwu5guHI7VTkPfsy7GZrhjN3M2BjJsbwNzzgaCXFqbsZiE/Pg5eDBbILS/HPrVQ4W5tics+GsDWX4MN2nsgqKIFYJMT5+CfYdekRnK1NEdqnMaxNxZg/uAUX5+FbKQg/ehc2ZiZYNLQlvBws8NOIAGTkFSO3SIafT9zDkNb1qiWpAi+QWIuKivDnn39i27ZtOHToEJydnfHll18aMzYeBwcHiEQipKam8ranpqbCxcVF5zkuLi4GHQ8AUqkUUqn0xQOugEkFbazldW4Sa1R1aW4rG8eq4FWnanaWeNHEmphZVr2brKMTT3Yh//qZ+fzEqiqxqhKh+nXvZ+Tj6bOkbW8hgUgogEgogsuzVXySs4tg9uwLhLttWcc5oVAAd1szxGfkczG187ZHI+eyyUv6+Lpg87MS5dJ3WmHV8XuIz8jHh+3qQyAQwMPeHKs/eB2AsgSsXsUX0sELXwQ1QUp2ERo6WSIxswC7oh5xSVXdWy1d4fmaBZYfvYOFB8pqVQatPgO5gkEiEmL+4Oa8Ugug/IKhKo0seacV9l55hKf5pfi8T2NM23kVsam5WPSsmnpidx/YmknQ0MkS3Zs6wdPeAgsORONxdhFXvWYuESG4vRfaeNujg48Dhr/hgdScIiQ9LUTEyTgUlsoxb2BztK5vBwBo7qasjv/5wwCsPxOPzLwSjOnkzSVLFXdbM+z8uD1vW5fGjrzHLZ7VPgCAr5s1+rZw1bhHbnirpfL3z/s0xvVH2cgrlqG5mzVszfmzuz3OKsSlh09xLy0PhSUyuNmaoXMjBzR0Uv5tFQqG+xl5uJmUg1N30nHrcQ7e8LbD572bwM6i7FrFMjkWH4zFhrPxsJKaYF1wIFrXt+NePwD8+L4/Pvn1MmQKBRYO9YObrRnv9X/RpwmiHj7Fgyf5WDysJRytpBjXuQG3v2tjR3zbvxkuPsjEx1198Hp9O/T25dee7ZvYEclZRahnZwaBQFlie81SyjVLtG3wGte0MdjfHXuuPMIbXvbo56e8h01drAEAn/VsBBtzMfZcTkLHhq/hsx6NYKq29nMTFytsHtMWW84/hKe9Od5vUx/2FhKIRUKuWWnXJx1wOeEp8opk8HawgKlYBAYGF2tTronnrZZuvPg1a6B83ax5+wf5u/Med2/CHzXStbEjuqq9XzSPB8C9B3o0dUaPps5a+1WCmrsgqLn257qDpRQOllJ8/3YrvedWBYMT6+HDh7Ft2zbs27cPJiYmePvtt/HPP/+gS5cuVREfRyKRICAgAJGRkRg8eDAA5SxQkZGRmDRpks5z2rdvj8jISEydOpXbduTIEbRv317n8dVJXEEbq3qJVajRdqlMMgLIFQz5uqqC1Uqs+SX6k+eLLoSeklOWWDU7HgHgOv2oZGq0mapKrP71bLmqSpX49HyuKthO7QPW1Ub54ZaSXci1JWt+4LvZmnLtLFZSE/g4WvL2d2rkgOXDW0EoEGCQvzt6+TrjTmouAj3toGlgKzcusfq528D7WdtlQyflNYOau2BX1CPu+FUftMbXe27A1lyCab0bQ65gWH70Du+aqi843Zo44p0AD9zPyMeZexmY2rMxZv1xk/tCUM/ODENbu+PtgLIq9o+7+nBDlwI8lUlDfSjWuM7esDYzwf30fAx/wwMNNF47oEyI7rZmeL2+HQa0ctPar2IqFuHTbg317jc2gUCAVh62eve72ZphoK3+0QdCoQANnazQ0MkKg1trf0irSE1EmD3AF5/1aAgziYiXhFR6NHXGmRk9wBiDk7X2ylF2FhIcnNIZJXIF9z7UfC3jOjfgJVtNYpEQ9V8z5x6rf/nT5FfPBn719K+LHdzei+uYp0t7n9fQ3uc1vftFQoHB7Y/VVfqrjZ6rjfWtt97C5s2b0a9fP4jF4opPMpLQ0FCEhIQgMDAQbdq0QXh4OPLz8zF69GgAQHBwMNzd3REWFgZAuWBA165dsXTpUvTv3x87duzApUuXsHbt2mqLWR/16lxD21iV+5WJVdfMS6p/9BKZgtd5R9OLlljVq3J1tetotqFmaByj2t/O5zWtxJqQWcAlVnu10oaqxKpsO1ae72rL/+Crb2+OM1BOhNHSw4aXeFSGtC5LVjZmYr0fKs3dbPBlUBP8ezcDcwb6au3v3NgB9e3NkZBZgIGt3PBWSzf08XWBUFD2wfNpNx/svJiIL4OaoFTBMGvfTYiEAnzSzQdCoQAz32zGXS81twjf7FX2Fv24q49W7GM7eSMuPQ8p2UUIG+qntV8gEGD4GzQPcmWol2J1cbQqv+ZKIBDoTKqEGJxYU1NTX9qcwMOHD0d6ejpmz56NlJQU+Pv7c9XQAJCQkAChWumvQ4cO2LZtG7799lt8/fXXaNSoEfbt24cWLVroe4pqYy4pu/WqEqY63gQSOqqKJSIhb+gMP7GWdV4qKCd56uq8dPZeBlYdv4f5g1tolfQ0VZRYtdpY8/jd67MLlec0dbGCn7sNNwsTACQ+LeDaWNVLrNamJryepxKREA4W/A9AZdWjskPM6/W1S6GGmti9ISZ2111yk5qI8PuE9riakIVuz6q61CfhAIDpfZtiet+mAJTDDXwcLGBjLuaqXNV90KY+xEIhGBg3dEidqViEZe/6v+ArIoRUJYMT68ueaH/SpEl6q35PnDihte2dd97BO++8U8VRGc5CUvZN18pUu9RfUVWx5oe3evJVVW0VlcpRoGOyeUcrKdJzi3WWWD/bfgVP8ksQ/MsFnJnRA+FH72D7hQTs+rgDr9oK4JdIc4pKIVcwXulatd/OXIynBaVayVeVmG3NxNgw+g2ciE3H0/wSLDgQjdScIp0lVoFAABcbU66np6utqVaprUdTJ1hIRCiSKTCwnKpOY3GyMkUfHe07uggEAnRo6FDu/nffMH5nOUJI9aFK8pfEQm3ohZVU+/sNr9ewnhKrvsf8Eqt2YvW0VyZIXW2sT54lv6SsQhSUyBB+9C5Sc4qx9cJDrWPVEytj2lW/qpmdVO2SGfkluPW4bGiH6ngbczEcLKV4O6Ae3O2UbWh3U/O4tkhbjbGLLmptXm422m1urjZmODytC/Z+2qHcditCCKkKlFhfEgtpWYnV0lQ7sfJ6Devq3KRRYtU53EYm19nG2sxV2XsvT2OCCM2l1NR7/abq7PXLP/+pxkxKqqpgbwdllfK/dzPQ/8d/8e6ac3iSV8xNaWhjVpY4na2V1bqq4SXmOjqXqNpZAe2OSyr17MzRsp6tzn2EEFKVKLG+JOolVguJjsSqlkzFlSixmuiYK7hUrpzyTJPfs+EPmiVWzcQYrTbTjmqQvzrNKQk1H2dziVVZQlYN+i+RKXAsJo3reKU+rMJZowemnbl2BxNXXmLV7rFJCCEvEyXWl0S985Jme6lym/rqNzoSazklVlO1zlCqZDmibX04WErRpbEjHKyUySq/WKacNenIHd5kDyo31ToTaSZdQLvEqupsBCjHuKnacFUlVnWqWaBMhAJee7P6OFeA376q4qJW/ev5moXWfkIIeZkq1Xlp6NChlb7gnj17njuYV4l6MtGVPNRLrLqWldNcr1W9VGuqNgRA1Wbq526DuQObw0QowMUHyqSmmpFk3el4bDv/EOHD+fPZqs+mpOpoVFQqR0JmARo5WXKJ1cXaFClqnY1U11bxcuB3egLKSsM2ZmLeHMMSEyEcLCXcyji6hkR0ezaoXCISoktj/R2BCCHkZahUYrWxKRsWwBjD3r17YWNjw028HxUVhaysLIMS8KvORCTE1nFtUSyT606sogqG25RTYhUKBZCIhCiRK7jZi8wkIu4Y1Zy1ucUybtWXjLwSpOfx21Fj1BYDVyXN0Rsu4tz9J5j1li+XbD1fM0dKThGyCkow769bOHwzhZvpxEIiQn17HYn1WdLWnFQdUJZaVYn1NR33xsPeHHs/7QAFY1olXEIIedkqlVg3bNjA/f7VV1/h3XffRUREBEQiZclILpfj008/hbW1tb5LEB06ljPsQsLrFayjqlizjVVzPmGxMrGqqnfV23GtnnWWyiuS8ToORSfz5/tVX0+1WKZAblEpzt1XTryw9b+H3OTn3g4WOB+fiZtJOdwcuNsvKudRtTET6xxOpGpfVX9+FRcbU24lFfWOSupaG2F8KiGEVAWD21jXr1+PL774gkuqACASiRAaGqp3XVRiOF6JtYI2VrFIoLVkm6onrWrIi7la1bOqxFpYKudWgwGAa8+GwehzLbGszTX+iXIcqUQk5HrmXlU7/9SzVSusnyXOj7sop3YbqjHVnK2OxOrMG05DJVJCSO1icGKVyWQ6l2mLiYmp9oXP6zJ+G2v5q99otrcC/A5MAGCu1gtZfXiP+rz8qiWzdDwdAODW47LEqlpCzdpMDLtn1bnqS33lPuu4pEqsM/s1w815QVg41I93Tc2J1gF+MlWNayWEkNrC4JmXRo8ejbFjxyIuLg5t2rQBAJw/fx6LFi3i5uwlL45fItXVa7isBKor8WrOYapeYhWLhDAV86dEBMo6KDV0suQtHyUQKBOp5pJSgHLyBl3JUUW9qldVUra3kHBV1Lqqgjs0dMDSI8qJ69t46584nBBCaiKDE+uSJUvg4uKCpUuXIjlZ2fHF1dUVX375JT7//HOjB/iqqnghdH5PWk1aJVYJP9FaSsUoKtUemwoAjZyseEm0sZMVYlNzcS9Ne81VGzOxzs5X6vs1udmacolV10TnAZ52+H5YSzhYSXiLgxNCSG1g8KeWUCjE9OnTMX36dOTkKDuYUKcl4zOpYEpDaQUlWlOtEiv/T21laoKMPD2J1dkSeLZEqMRECM/XzBGbmquzxGpjJtaaclCdtY6OS242ZriZpHzv6JvggebLJYTUVs81QYRMJsPRo0exfft2rtPM48ePkZen/cFLno9EvQ21gnGsuhKv5jSAmiVWKx3TKKq0UpsK0NFSitcslSXSQh0T+jtbS7VmR1IvQesqsXo5lE3q4GJNbaiEkLrF4MT68OFD+Pn5YdCgQZg4cSLS05W9PxcvXowvvvjC6AG+qtRLrKIKpjSsqPOSUMAv4QLgVbHW0+ggpFrEGwAcrKRaVb2q+XwBZWLUTKwd1BZUtrfQTqzqidvXlWo7CCF1i8GJdcqUKQgMDMTTp09hZlb2gTxkyBBERkYaNbhXmXobq1hXG6taotQc0woAUrUSq4XERGs4jnpibaaR3F6zlGDAs+XW+vu5aCVO9UXBXW1NYaZRGlbNRQzwS6cqQc2dMb6zN34e8brOCSIIIaQ2M7iN9fTp0zh79iwkEv6HrZeXF5KSkowW2KtObMAEETqrgtXaWDUTH1A2DAYA/D1sceR2KgBlwjWXmGDFcH9M69UI3g4W2HuF/3ft09wFfz+bsSnQkz9Rg7JNtiyZeutIrCYiIb7p76u1nRBC6gKDE6tCoYBcrt3W9ujRo5e+CHpdUuF6rBV1XlKrCrbQ0bPWw65smsGW9cpKmKVy5RAcoVCABo7KKmHNquC23vaYP7gFrE1NuGNCezfGsiN38GWfJujbwgWXE57CxdoU9ey0pzMkhJC6zODE2qdPH4SHh2Pt2rUAAIFAgLy8PMyZMwf9+vUzeoCvKvVkai7W/jPx2lh1dG5SH8dqJtYusar3xvV6zQKv17fF5YQstPfRHjeqmVjtLSQY2c6Tt+2zHg3Rt4ULfBwtIRIKsHAIfyIIQgh5VRicWJcuXYqgoCD4+vqiqKgIH3zwAe7evQsHBwds3769KmJ8JamPU9Xs0QtolFhNdPUKLtuv6/yuTRzhYm2K3r7O8LA3xzf9ffHP7RR83MVH61j1xGpnLtZZQhYIBGjsTDUWhBBicGKtV68erl27hp07d+LatWvIy8vD2LFjMWLECF5nJvJi1JOXrjZScYW9gsvO0TW0xsnKFP993RPs2dyEAZ52CPDUPbG9emLVVfolhBBS5rmmtTExMcGIESMwYsQIY8dDnlFPjBbS8kusutZrVS+x6lpdRkWzt7Au6pNL6BrLSgghpIzBw21EIhG6d++OzMxM3vbU1FTeijfkxagPcTHT0cbKn9Kw/AkiypsMorJUbaqz3qLevIQQUh6DEytjDMXFxQgMDMStW7e09hHjcLAsS6zi55nSUC2xWhohsX77VjPsm9gRQzSWfSOEEMJncGIVCATYvXs3BgwYgPbt2+OPP/7g7SPGoT7HruYqNAA/merqnKSemHXN12soqYkI/h629DcmhJAKPFeJVSQSYcWKFViyZAmGDx+O//3vf1VeWs3MzMSIESNgbW0NW1tbjB07tty5iTMzM/HZZ5+hSZMmMDMzQ/369TF58mRkZ2frPacmEarNtuRhr90pTL2NVXOCfQBwtCwbTmNthBIrIYSQynmhT9yPPvoIjRo1wjvvvINTp04ZKyadRowYgeTkZBw5cgSlpaUYPXo0PvroI2zbtk3n8Y8fP8bjx4+xZMkS+Pr64uHDh/jkk0/w+PFj/P7771Uaq7Hsm9gRD5/ko6Xa3Loq6iVWCx0lVvXl2HzU5v4lhBBStQxOrJ6enrxOSt27d8d///2HAQMGGDUwddHR0Th06BAuXryIwMBAAMDKlSvRr18/LFmyBG5ublrntGjRArt37+Ye+/j4YMGCBfjwww8hk8lgYlLzS3H+Hrbw97DVuU+9xGqmo8TqYCmBUAAoGHQmZkIIIVXD4OwSHx+vta1hw4a4cuUKUlNTjRKUpnPnzsHW1pZLqgDQq1cvCIVCnD9/HkOGDKnUdbKzs2FtbV1uUi0uLkZxcdk6pao1Z2sa9ZmXdA3HMREJcWp6dzAGWiycEEKq0XOtx6qLqakpPD09Kz7wOaSkpMDJyYm3zcTEBPb29khJSanUNTIyMjB//nx89NFH5R4XFhYGGxsb7sfDo2YuuF1RGysA1LMzh4c9zdVLCCHVqVKJ1d7eHhkZGQAAOzs72Nvb6/0xxIwZMyAQCMr9iYmJMfxVacjJyUH//v3h6+uLuXPnlnvszJkzkZ2dzf0kJia+8PNXBfWxqQoFDXMihJCaolJ1hMuXL+dWrgkPDzfak3/++ecYNWpUucc0aNAALi4uSEtL422XyWTIzMyEi4tLuefn5uaib9++sLKywt69eyEWlz/0RCqVQiqVlntMTeBqYwY/dxvcSMrG6562LzscQgghzwhYLZjVITo6Gr6+vrh06RICAgIAAP/88w/69u2LR48e6ey8BChLqkFBQZBKpThw4ADMzQ2vFs3JyYGNjQ3XPluTFJXKkZ5bTNW9hBBSxQzJBZVKrIZ04Kmq5PPmm28iNTUVERER3HCbwMBAbrhNUlISevbsic2bN6NNmzbIyclBnz59UFBQgL1798LComzBbUdHx0pPv1iTEyshhJDqYUguqFRVsK1txTPuMMYgEAh0LoJuDFu3bsWkSZPQs2dPCIVCDBs2DD/++CO3v7S0FLGxsSgoKAAAXL58GefPnweg7LWsLj4+Hl5eXlUSJyGEkFdbpUqsJ0+erPQFu3bt+kIB1TRUYiWEEGL0EmtdS5aEEEJIVXnumQMKCgqQkJCAkpIS3vaWLVu+cFCEEEJIbWVwYk1PT8fo0aNx8OBBnfurqo2VEEIIqQ0Mnnlp6tSpyMrKwvnz52FmZoZDhw5h06ZNaNSoEf7888+qiJEQQgipNQwusR47dgx//PEHAgMDIRQK4enpid69e8Pa2hphYWHo379/VcRJCCGE1AoGJ9b8/Hxu3l47Ozukp6ejcePG8PPzw+XLl40e4Mum6jRdUyfjJ4QQUvVUOaAycyoZnFibNGmC2NhYeHl5oVWrVlizZg28vLwQEREBV1dXw6Ot4XJzcwGgxk7GTwghpPrk5ubCxsam3GMMntJwy5YtkMlkGDVqFKKiotC3b19kZmZCIpFg48aNGD58+AsFXdMoFAo8fvwYVlZWFU6SoU9OTg48PDyQmJhIY2E10L3Rje6LfnRvdKP7op8x7g1jDLm5uXBzc4NQWH73pBeeK7igoAAxMTGoX78+HBwcXuRSdRZNMqEf3Rvd6L7oR/dGN7ov+lX3vXnhFbDNzc3x+uuvGyMWQgghpNYzOLEyxvD777/j+PHjSEtLg0Kh4O3fs2eP0YIjhBBCahuDE+vUqVOxZs0adO/eHc7Ozs/d7vgqkUqlmDNnTq1Y57W60b3Rje6LfnRvdKP7ol913xuD21jt7e2xZcsW9OvXr6piIoQQQmotg2desrGxQYMGDaoiFkIIIaTWMzixzp07F/PmzUNhYWFVxEMIIYTUagZXBRcWFmLIkCE4c+YMvLy8IBaLefvr4uxLhBBCSGUZ3HkpJCQEUVFR+PDDD6nzEiGEEKKJGcjc3JydPn3a0NNeaatWrWKenp5MKpWyNm3asPPnz7/skKrUwoULWWBgILO0tGSOjo5s0KBBLCYmhndMYWEh+/TTT5m9vT2zsLBgQ4cOZSkpKbxjHj58yPr168fMzMyYo6Mj++KLL1hpaWl1vpQqFRYWxgCwKVOmcNte5fvy6NEjNmLECGZvb89MTU1ZixYt2MWLF7n9CoWCzZo1i7m4uDBTU1PWs2dPdufOHd41njx5wj744ANmZWXFbGxs2JgxY1hubm51vxSjkclk7Ntvv2VeXl7M1NSUNWjQgH333XdMoVBwx7wq9+XkyZPsrbfeYq6urgwA27t3L2+/se7DtWvXWKdOnZhUKmX16tVjixcvNjhWgxNrkyZN2LVr1wx+olfVjh07mEQiYevXr2e3bt1i48ePZ7a2tiw1NfVlh1ZlgoKC2IYNG9jNmzfZ1atXWb9+/Vj9+vVZXl4ed8wnn3zCPDw8WGRkJLt06RJr164d69ChA7dfJpOxFi1asF69erErV66wAwcOMAcHBzZz5syX8ZKM7sKFC8zLy4u1bNmSl1hf1fuSmZnJPD092ahRo9j58+fZ/fv32eHDh9m9e/e4YxYtWsRsbGzYvn372LVr19jAgQOZt7c3Kyws5I7p27cva9WqFfvvv//Y6dOnWcOGDdn777//Ml6SUSxYsIC99tpr7O+//2bx8fFs165dzNLSkq1YsYI75lW5LwcOHGDffPMN27Nnj87Eaoz7kJ2dzZydndmIESPYzZs32fbt25mZmRlbs2aNQbEanFj//vtvFhQUxOLj4w099ZXUpk0bNnHiRO6xXC5nbm5uLCws7CVGVb3S0tIYAHby5EnGGGNZWVlMLBazXbt2ccdER0czAOzcuXOMMeU/kVAo5JXWfv75Z2Ztbc2Ki4ur9wUYWW5uLmvUqBE7cuQI69q1K5dYX+X78tVXX7FOnTrp3a9QKJiLiwv74YcfuG1ZWVlMKpWy7du3M8YYu337NgPAK+UePHiQCQQClpSUVHXBV6H+/fuzMWPG8LYNHTqUjRgxgjH26t4XzcRqrPvw008/MTs7O97/0ldffcWaNGliUHwG9wr+8MMPcfz4cfj4+MDKygr29va8H1KmpKQEUVFR6NWrF7dNKBSiV69eOHfu3EuMrHplZ2cDAPf+iIqKQmlpKe++NG3aFPXr1+fuy7lz5+Dn5wdnZ2fumKCgIOTk5ODWrVvVGL3xTZw4Ef379+e9fuDVvi9//vknAgMD8c4778DJyQmtW7fGunXruP3x8fFISUnh3RsbGxu0bduWd29sbW0RGBjIHdOrVy8IhUKcP3+++l6MEXXo0AGRkZG4c+cOAODatWv4999/8eabbwJ4de+LJmPdh3PnzqFLly6QSCTcMUFBQYiNjcXTp08rHY/BnZfCw8MNPeWVlZGRAblczvsQBABnZ2fExMS8pKiql0KhwNSpU9GxY0e0aNECAJCSkgKJRAJbW1vesc7OzkhJSeGO0XXfVPtqqx07duDy5cu4ePGi1r5X+b7cv38fP//8M0JDQ/H111/j4sWLmDx5MiQSCUJCQrjXpuu1q98b1VrRKiYmJrC3t6+192bGjBnIyclB06ZNIRKJIJfLsWDBAowYMQIAXtn7oslY9yElJQXe3t5a11Dts7Ozq1Q8BiXW0tJSnDx5ErNmzdJ6ckJ0mThxIm7evIl///33ZYfy0iUmJmLKlCk4cuQITE1NX3Y4NYpCoUBgYCAWLlwIAGjdujVu3ryJiIgIhISEvOToXp7ffvsNW7duxbZt29C8eXNcvXoVU6dOhZub2yt9X2o6g6qCxWIxdu/eXVWx1DkODg4QiURITU3lbU9NTYWLi8tLiqr6TJo0CX///TeOHz+OevXqcdtdXFxQUlKCrKws3vHq98XFxUXnfVPtq42ioqKQlpaG119/HSYmJjAxMcHJkyfx448/wsTEBM7Ozq/kfQEAV1dX+Pr68rY1a9YMCQkJAMpeW3n/Sy4uLkhLS+Ptl8lkyMzMrLX35ssvv8SMGTPw3nvvwc/PDyNHjsS0adMQFhYG4NW9L5qMdR+M9f9lcBvr4MGDsW/fPkNPeyVJJBIEBAQgMjKS26ZQKBAZGYn27du/xMiqFmMMkyZNwt69e3Hs2DGt2o2AgACIxWLefYmNjUVCQgJ3X9q3b48bN27w/hGOHDkCa2trrQ/g2qJnz564ceMGrl69yv0EBgZixIgR3O+v4n0BgI4dOyI2Npa37c6dO/D09AQAeHt7w8XFhXdvcnJycP78ed69ycrKQlRUFHfMsWPHoFAo0LZt22p4FcZXUFCgtai2SCTiVhV7Ve+LJmPdh/bt2+PUqVMoLS3ljjly5AiaNGlS6WpgAIaPY50/fz6ztbVlw4YNYwsXLmQrVqzg/RC+HTt2MKlUyjZu3Mhu377NPvroI2Zra6s1NrEumTBhArOxsWEnTpxgycnJ3E9BQQF3zCeffMLq16/Pjh07xi5dusTat2/P2rdvz+1XDSvp06cPu3r1Kjt06BBzdHSs9cNKNKn3Cmbs1b0vFy5cYCYmJmzBggXs7t27bOvWrczc3Jxt2bKFO2bRokXM1taW/fHHH+z69ets0KBBOodTtG7dmp0/f579+++/rFGjRrVuWIm6kJAQ5u7uzg232bNnD3NwcGDTp0/njnlV7ktubi67cuUKu3LlCgPAli1bxq5cucIePnzIGDPOfcjKymLOzs5s5MiR7ObNm2zHjh3M3Ny86ofbeHl56f3x9vY29HKvhJUrV7L69esziUTC2rRpw/7777+XHVKVAqDzZ8OGDdwxqokQ7OzsmLm5ORsyZAhLTk7mXefBgwfszTffZGZmZszBwYF9/vnndWIiBHWaifVVvi9//fUXa9GiBZNKpaxp06Zs7dq1vP2qCQCcnZ2ZVCplPXv2ZLGxsbxjnjx5wt5//31maWnJrK2t2ejRo2vdRAjqcnJy2JQpU1j9+vW5CSK++eYb3nCQV+W+HD9+XOfnSkhICGPMePdBfYIId3d3tmjRIoNjNXiuYEIIIYToZ3AbqzqmLPEaKxZCCCGk1nuuxLp582b4+fnBzMwMZmZmaNmyJX799Vdjx0YIIYTUOgZPELFs2TLMmjULkyZNQseOHQEA//77Lz755BNkZGRg2rRpRg+SEEIIqS0MbmP19vbGvHnzEBwczNu+adMmzJ07F/Hx8UYNkBBCCKlNDK4KTk5ORocOHbS2d+jQAcnJyUYJihBCCKmtDE6sDRs2xG+//aa1fefOnWjUqJFRgiKEEEJqK4PbWOfNm4fhw4fj1KlTXBvrmTNnEBkZqTPhEkIIIa+S5xrHGhUVheXLlyM6OhqAck7Pzz//HK1btzZ6gIQQQkht8lzDbQICArBlyxZERUUhKioKW7ZsoaRKSDUQCARGmavbWNepbc/95MkTODk54cGDB9y2M2fOwM/PD2KxGIMHDy73/IyMDDg5OeHRo0dVGyip1V5ogghC6rKUlBR89tlnaNCgAaRSKTw8PDBgwADeRN813dy5c+Hv76+1PTk5mVssuy4+tz4LFizAoEGD4OXlxW0LDQ2Fv78/4uPjsXHjxnLPd3BwQHBwMObMmVO1gZJardJtrEKhEAKBoNxjBAIBZDLZCwdFyMv24MEDdOzYEba2tvjhhx/g5+eH0tJSHD58GBMnTnzuhepLSkogkUi0tpeWlkIsFr9o2JX2MpcLe1nPXVBQgF9++QWHDx/mbY+Li8Mnn3zCW9qwPKNHj0ZAQAB++OEH2NvbV0WopLar7KTC+/bt0/vz1VdfMTMzMyaVSg2erJiQmujNN99k7u7uLC8vT2vf06dPud8fPnzIBg4cyCwsLJiVlRV75513eCsXzZkzh7Vq1YqtW7eOeXl5MYFAwBhTLlTw008/sQEDBjBzc3M2Z84cxpjy/6x169ZMKpUyb29vNnfuXN4E+wDY3r17ucfTp09njRo1YmZmZszb25t9++23rKSkhDHG2IYNG/QuhKB5nevXr7Pu3bszU1NTZm9vz8aPH8+bnDwkJIQNGjSI/fDDD8zFxYXZ29uzTz/9lHsuTZV97vj4eAaA7dy5k3Xq1ImZmpqywMBAFhsbyy5cuMACAgKYhYUF69u3L0tLS+M9x7p161jTpk2ZVCplTZo0YatXr9YZi8quXbuYo6Mj91j13JoxZmZmsg8++IA5ODgwU1NT1rBhQ7Z+/Xretby9vdn//d//lft85NVl8Oo26mJiYtjgwYOZSCRiwcHB7MGDB8aKi5CX5smTJ0wgELCFCxeWe5xcLmf+/v6sU6dO7NKlS+y///5jAQEBrGvXrtwxc+bM4RLD5cuX2bVr1xhjyuTi5OTE1q9fz+Li4tjDhw/ZqVOnmLW1Ndu4cSOLi4tj//zzD/Py8mJz587lrqeZEOfPn8/OnDnD4uPj2Z9//smcnZ3Z4sWLGWOMFRQUsM8//5w1b95ca+k+9evk5eUxV1dXNnToUHbjxg0WGRnJvL29uVVDGFMmVmtra/bJJ5+w6Oho9tdffzFzc3OtFWhUKvvcquTWtGlTdujQIXb79m3Wrl07FhAQwLp168b+/fdfdvnyZdawYUP2ySefcNffsmULc3V1Zbt372b3799nu3fvZvb29mzjxo16/16TJ09mffv25R7LZDKWnJzMrK2tWXh4OBfjxIkTmb+/P7t48SKLj49nR44cYX/++SfvWsOHD+fdH0LUPVdiTUpKYuPGjWNisZi99dZb7MaNG8aOi5CX5vz58wwA27NnT7nH/fPPP0wkErGEhARu261btxgAduHCBcaYMrGKxWKt0hYANnXqVN62nj17aiXzX3/9lbm6uvLOU0+smn744QcWEBDAPVaVmDWpX2ft2rXMzs6OVzrfv38/EwqFXOk7JCSEeXp6MplMxh3zzjvvsOHDh+uNpTLPrUqs6qW/7du3MwAsMjKS2xYWFsaaNGnCPfbx8WHbtm3jXXf+/Pm8tWs1DRo0iI0ZM0Zru42NDW9JwwEDBrDRo0frvQ5jjE2bNo1169at3GPIq8ugcazZ2dlYuHAhVq5cCX9/f0RGRqJz587PXw9NSA3EKjkCLTo6Gh4eHvDw8OC2+fr6wtbWFtHR0XjjjTcAAJ6ennB0dNQ6PzAwkPf42rVrOHPmDBYsWMBtk8vlKCoqQkFBAczNzbWusXPnTvz444+Ii4tDXl4eZDIZrK2tKxW/+uto1aoVLCwsuG0dO3aEQqFAbGwsnJ2dAQDNmzeHSCTijnF1dcWNGzcMei59WrZsyf2uej4/Pz/etrS0NABAfn4+4uLiMHbsWIwfP547RiaTwcbGRu9zFBYWwtTUtMJYJkyYgGHDhuHy5cvo06cPBg8erDXbnJmZGQoKCir34sgrp9KJ9fvvv8fixYvh4uKC7du3Y9CgQVUZFyEvTaNGjSAQCJ67g5Im9YRV3va8vDzMmzcPQ4cO1TpWV0I4d+4cRowYgXnz5iEoKAg2NjbYsWMHli5dapS4NWl2rhIIBFAoFEa/tqqTpOY21XPl5eUBANatW4e2bdvyrqOe+DU5ODjg6dOnFcby5ptv4uHDhzhw4ACOHDmCnj17YuLEiViyZAl3TGZmps4vS4QABiTWGTNmwMzMDA0bNsSmTZuwadMmncft2bPHaMER8jLY29sjKCgIq1evxuTJk7USYFZWFmxtbdGsWTMkJiYiMTGRK7Xevn0bWVlZ8PX1Nfh5X3/9dcTGxqJhw4aVOv7s2bPw9PTEN998w217+PAh7xiJRAK5XF7udZo1a4aNGzciPz+fe61nzpyBUChEkyZNDHwVhj3383B2doabmxvu37+PESNGVPq81q1bY8uWLZU61tHRESEhIQgJCUHnzp3x5Zdf8hLrzZs30a1bN0NDJ6+ISifW4ODgCofbEFJXrF69Gh07dkSbNm3w3XffoWXLlpDJZDhy5Ah+/vlnREdHo1evXvDz88OIESMQHh4OmUyGTz/9FF27dtWq5q2M2bNn46233kL9+vXx9ttvQygU4tq1a7h58yb+97//aR3fqFEjJCQkYMeOHXjjjTewf/9+7N27l3eMl5cX4uPjcfXqVdSrVw9WVlaQSqW8Y0aMGIE5c+YgJCQEc+fORXp6Oj777DOMHDmSq5Z9HpV57uc1b948TJ48GTY2Nujbty+Ki4tx6dIlPH36FKGhoTrPCQoKwsyZM/H06VPY2dnpvfbs2bMREBCA5s2bo7i4GH///TeaNWvG7S8oKEBUVBQWLlxolNdC6qCX3chLSE31+PFjNnHiRObp6ckkEglzd3dnAwcOZMePH+eOqexwG03Q0wnp0KFDrEOHDszMzIxZW1uzNm3a8Hreap735Zdfstdee41ZWlqy4cOHs+XLlzMbGxtuf1FRERs2bBiztbU1ynAbdVOmTOH1gNZUmedWdV66cuUKd97x48cZAN6wpg0bNvBeF2OMbd26lfn7+zOJRMLs7OxYly5dKuxw1qZNGxYREcHbptl5af78+axZs2bMzMyM2dvbs0GDBrH79+9z+7dt28brSEWIpueaK5gQQmqj/fv348svv8TNmzchFD7fxHPt2rXD5MmT8cEHHxg5OlJXGLy6DSGE1Fb9+/fH3bt3kZSUxOvNXVkZGRkYOnQo3n///SqIjtQVVGIlhBBCjIgm4SeEEEKMiBIrIYQQYkSUWAkhhBAjosRKCCGEGBElVkIIIcSIKLESQgghRkSJlRBCCDEiSqyEEEKIEVFiJYQQQozo/wGkUu6yraP/2AAAAABJRU5ErkJggg==\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_vacf(vacf_jobs)\n", "ax;" ] }, { "cell_type": "code", "execution_count": null, "id": "d51a10b4-184b-404a-9e3f-ba89d4d72642", "metadata": {}, "outputs": [], "source": [ "ax = plot_power_spectrum(vacf_jobs)\n", "ax;" ] }, { "cell_type": "markdown", "id": "6fd1f9de-60f3-4824-91bb-0662878ac94e", "metadata": {}, "source": [ "Let's compare the power spectrum to the calculated frequencies from a gasphase geometry optimization + frequencies calculation (harmonic approximation). First, let's define and run the job. Remember: ``s`` is the UFF settings from before, and ``single_molecule`` is the single methane molecule defined before." ] }, { "cell_type": "code", "execution_count": 39, "id": "4543fbe8-fe24-4bbe-99ee-33e6783ab128", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[10.04|11:25:41] JOB methane-optfreq STARTED\n", "[10.04|11:25:41] JOB methane-optfreq RUNNING\n", "[10.04|11:25:42] JOB methane-optfreq FINISHED\n", "[10.04|11:25:42] JOB methane-optfreq SUCCESSFUL\n", "Normal modes stored in /Users/ormrodmorley/Documents/code/ams/amshome_fix2026/userdoc/PythonExamples/molecular-dynamics-intro/plams_workdir.002/methane-optfreq/forcefield.rkf\n" ] } ], "source": [ "sfreq = Settings()\n", "sfreq.input.ams.Task = \"GeometryOptimization\"\n", "sfreq.input.ams.Properties.NormalModes = \"Yes\"\n", "sfreq += s # UFF engine settings used before\n", "freq_job = AMSJob(\n", " settings=sfreq, name=\"methane-optfreq\", molecule=single_molecule\n", ") # single_molecule defined at the beginning\n", "freq_job.run()\n", "print(\"Normal modes stored in {}\".format(freq_job.results.rkfpath(file=\"engine\")))" ] }, { "cell_type": "markdown", "id": "87ee7b91-d2b2-4128-8ff1-4041f1f85640", "metadata": {}, "source": [ "You can open the ``forcefield.rkf`` file in AMSspectra to visualize the vibrational normal modes. You can also access the frequencies in Python:" ] }, { "cell_type": "code", "execution_count": 40, "id": "1c77463c-b7e4-414a-9811-38ef2a34c5c6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "There are 9 frequencies for gasphase methane\n", "1310.1 cm^-1\n", "1310.1 cm^-1\n", "1310.1 cm^-1\n", "1467.4 cm^-1\n", "1467.4 cm^-1\n", "2783.4 cm^-1\n", "2942.0 cm^-1\n", "2942.0 cm^-1\n", "2942.0 cm^-1\n" ] } ], "source": [ "freqs = freq_job.results.get_frequencies()\n", "print(\"There are {} frequencies for gasphase methane\".format(len(freqs)))\n", "for f in freqs:\n", " print(\"{:.1f} cm^-1\".format(f))" ] }, { "cell_type": "markdown", "id": "50835d88-8aa5-43ba-a9ea-95ed767a7241", "metadata": {}, "source": [ "Let's make something similar to a power spectrum by placing a Gaussian at each normal mode frequency and compare to the power spectrum from the molecular dynamics.\n", "\n", "First, define the ``gaussian`` and ``sumgaussians`` function to sum up Gaussian functions along an axis:" ] }, { "cell_type": "code", "execution_count": 41, "id": "b9a30cdf-be17-4a62-a11a-3a47563d195d", "metadata": {}, "outputs": [], "source": [ "def gaussian(x, a, b, c):\n", " return a * np.exp(-((x - b) ** 2) / (2 * c**2))\n", "\n", "\n", "def sumgaussians(x, a, b, c):\n", " # calculate the sum of gaussians centered at b for the different x values\n", " # use numpy array broadcasting by placing x in a row and b in a column\n", " x = np.reshape(x, (1, -1)) # row\n", " b = np.reshape(b, (-1, 1)) # column\n", " return np.sum(gaussian(x, a, b, c), axis=0)" ] }, { "cell_type": "markdown", "id": "97001573-0b50-4c8d-86ed-316b28553c45", "metadata": {}, "source": [ "Then, define the x-axis ``x``, and calculate the spectrum from the frequencies by placing gaussians centered at ``freqs`` with height controlled by ``a`` and width controlled by ``c``:" ] }, { "cell_type": "code", "execution_count": 42, "id": "9e50f399-b3ab-4c0f-8857-6798645f37d1", "metadata": {}, "outputs": [], "source": [ "x = np.arange(5000) # x axis\n", "y = sumgaussians(x, a=2, b=freqs, c=30) # intensities, use suitable numbers for a and c" ] }, { "cell_type": "markdown", "id": "f62326ef-3037-4bf1-b407-4a826f5fcb40", "metadata": {}, "source": [ "Then compare to the power spectrum from MD:" ] }, { "cell_type": "code", "execution_count": 43, "id": "866401e3-c995-4a61-bebe-e825366fc179", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = plot_power_spectrum(vacf_jobs)\n", "ax.plot(x, y)\n", "ax.legend([\"power spectrum from MD\", \"gasphase optimization\"]);" ] }, { "cell_type": "markdown", "id": "0fa1d7c6-c237-4ed3-b86a-886307e10c09", "metadata": {}, "source": [ "The most striking difference is the intensity below 500 cm^-1 for the MD simulation. This arises from translational and rotational motion. There are also differences in the other peaks, arising from \n", "\n", "* intermolecular interactions, and\n", "* anharmonicity, and\n", "* sampling during the MD simulation\n", "\n", "Note that the intensity is arbitrarily scaled for both the MD simulation and the gasphase optimization. The above do **not** correspond to IR or Raman spectra. They are power spectra." ] }, { "cell_type": "markdown", "id": "7fb27b941602401d91542211134fc71a", "metadata": {}, "source": [ "## Further molecular-dynamics examples\n", "\n", "The ReaxFF density-equilibration workflow and the Lennard-Jones diffusion extrapolation workflows are now available as separate self-contained Python examples. See the related-example links on this page for the split-off notebooks.\n" ] } ], "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": "3.8.16" } }, "nbformat": 4, "nbformat_minor": 5 }