{ "cells": [ { "cell_type": "markdown", "id": "0", "metadata": {}, "source": [ "# Motion in dipole magnetic field" ] }, { "cell_type": "markdown", "id": "1", "metadata": {}, "source": [ "This notebook demonstrates a basic **GT simulation** workflow for numerically integrating the equation of motion of a charged particle in the Earth’s magnetic field approximated by a dipole model.\n", "\n", "Goals of this example:\n", "- Define the `Dipole` magnetic field and initial conditions for a single particle (a 10 MeV proton).\n", "- Compute the trajectory with two integrators: Buneman–Boris (BB) and 6th‑order Runge–Kutta (RK6).\n", "- Visually compare trajectories in the XY plane and estimate a characteristic cyclotron motion scale (the Larmor radius) along the trajectory.\n", "\n", "Expected output:\n", "- A plot of BB and RK6 trajectories starting from the same point and showing the difference in the results of calculations using two numerical schemes for a selected time step.\n", "- A plot of the Larmor radius versus step index (for both methods), including the minimum/maximum \\(R_L\\) over the simulated interval." ] }, { "cell_type": "code", "execution_count": 1, "id": "2", "metadata": {}, "outputs": [], "source": [ "from datetime import datetime\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from gtsimulation.Algos import BunemanBorisSimulator, RungeKutta6Simulator\n", "from gtsimulation.Global import Regions, Units\n", "from gtsimulation.MagneticFields.Magnetosphere import Dipole\n", "from gtsimulation.Particle import Generators, Flux" ] }, { "cell_type": "markdown", "id": "3", "metadata": {}, "source": [ "## Problem setup: field, particle, and integration parameters\n", "\n", "This section defines the simulation setup:\n", "- `date` (used by time-dependent field models);\n", "- the `Magnetosphere` region and the `Dipole` field model;\n", "- particle initial conditions: a single 10 MeV proton starting at \\([5 R_E, 0, 0]\\) point in the geocentric coordinate system (also known as ECEF) with an initial velocity directed along \\(Y\\) axis;\n", "- integration settings: total simulated time `total_time`, number of steps `n_steps`, and time step `dt`;\n", "- which quantities to store in the track (coordinates, velocities, energy, and magnetic field values along the trajectory).\n", "\n", "The expected outcome of this block is a fully defined configuration that can be passed to different numerical schemes for comparison." ] }, { "cell_type": "code", "execution_count": 2, "id": "4", "metadata": {}, "outputs": [], "source": [ "date = datetime(2008, 1, 1)\n", "region = Regions.Magnetosphere\n", "b_field = Dipole(date=date)\n", "medium = None\n", "\n", "particle = Flux(\n", " Spectrum=Generators.Spectrums.Monolines(energy=10 * Units.MeV),\n", " Distribution=Generators.Distributions.UserInput(\n", " R0=np.array([5 * Units.RE, 0, 0]),\n", " V0=[0, 1, 0]\n", " ),\n", " Names=\"proton\",\n", " Nevents=1\n", ")\n", "\n", "use_decay = False\n", "nuclear_interaction = None\n", "\n", "total_time = 10 # total time [s]\n", "n_steps = 20000\n", "dt = total_time / n_steps\n", "break_conditions = None\n", "\n", "save = [1, {\"Coordinates\": True, \"Velocities\": True, \"Energy\": True, \"Bfield\": True}]\n", "output = None\n", "\n", "verbose = 0" ] }, { "cell_type": "markdown", "id": "5", "metadata": {}, "source": [ "## Trajectory computation: Buneman–Boris (BB) scheme\n", "\n", "This block creates a `BunemanBorisSimulator` instance and runs the particle trajectory calculation in the given magnetic field.\n", "\n", "After execution, the following arrays are extracted:\n", "- `r_BB` — trajectory coordinates,\n", "- `v_BB` — velocities,\n", "- `T_BB` — particle energy along the trajectory,\n", "- `B_BB` — magnetic field sampled at trajectory points.\n", "\n", "The output arrays of coordinate, velocity and field vectors are also expressed in the geocentric coordinate system.\n", "\n", "The expected result is a stable trajectory (BB is a common choice for particle tracing in electromagnetic fields) and a dataset suitable for comparison with other integrators." ] }, { "cell_type": "code", "execution_count": 3, "id": "6", "metadata": {}, "outputs": [], "source": [ "simulator_BB = BunemanBorisSimulator(\n", " Bfield=b_field,\n", " Region=region,\n", " Medium=medium,\n", " Particles=particle,\n", " InteractNUC=nuclear_interaction,\n", " UseDecay=use_decay,\n", " Date=date,\n", " Step=dt,\n", " Num=n_steps,\n", " BreakCondition=break_conditions,\n", " Save=save,\n", " Output=output,\n", " Verbose=verbose\n", ")\n", "\n", "track_BB = simulator_BB()[0][0]\n", "r_BB = track_BB[\"Track\"][\"Coordinates\"]\n", "v_BB = track_BB[\"Track\"][\"Velocities\"]\n", "T_BB = track_BB[\"Track\"][\"Energy\"]\n", "B_BB = track_BB[\"Track\"][\"Bfield\"]" ] }, { "cell_type": "markdown", "id": "7", "metadata": {}, "source": [ "## Trajectory computation: 6th-order Runge–Kutta (RK6)\n", "\n", "This block repeats the same calculation for the same initial conditions, but using the `RungeKutta6Simulator` integrator.\n", "\n", "After execution, the arrays\n", "- `r_RK6`, `v_RK6`, `T_RK6`, `B_RK6`\n", "are obtained analogously to the BB case.\n", "\n", "The expected result is that the RK6 trajectory closely matches the BB trajectory for a sufficiently small `dt`, with possible small differences due to method properties and numerical error accumulation." ] }, { "cell_type": "code", "execution_count": 4, "id": "8", "metadata": {}, "outputs": [], "source": [ "simulator_RK6 = RungeKutta6Simulator(\n", " Bfield=b_field,\n", " Region=region,\n", " Medium=medium,\n", " Particles=particle,\n", " InteractNUC=nuclear_interaction,\n", " UseDecay=use_decay,\n", " Date=date,\n", " Step=dt,\n", " Num=n_steps,\n", " BreakCondition=break_conditions,\n", " Save=save,\n", " Output=output,\n", " Verbose=verbose\n", ")\n", "\n", "track_RK6 = simulator_RK6()[0][0]\n", "r_RK6 = track_RK6[\"Track\"][\"Coordinates\"]\n", "v_RK6 = track_RK6[\"Track\"][\"Velocities\"]\n", "T_RK6 = track_RK6[\"Track\"][\"Energy\"]\n", "B_RK6 = track_RK6[\"Track\"][\"Bfield\"]" ] }, { "cell_type": "markdown", "id": "9", "metadata": {}, "source": [ "## Trajectory comparison (BB vs RK6)\n", "\n", "This section plots the trajectories in the XY plane (in Earth radii \\(R_E\\)):\n", "- the starting point is marked explicitly;\n", "- trajectories computed with BB and RK6 are overlaid.\n", "\n", "The expected output is a clear visual comparison of the trajectories calculated using the two numerical schemes. At the chosen time step `dt`, discrepancies in the trajectories become visible, and these discrepancies accumulate." ] }, { "cell_type": "code", "execution_count": 5, "id": "10", "metadata": {}, "outputs": [ { "data": { "image/png": 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990vHVcwBsVqtrW1Cm0DooFFSUtLaJrQJhA4aDelwIjWBUz/ez+Dy7QBUqAp7Pcahi7iNsFFXMsTFrdHnUq1WkhN2krF1KT2O/kygmsGIrCWYFvxKXMCN9L3pFTyMfs3qj72I8WA/wqEQCAQCwTnZtuQtBu59ja6SiQpVId7vBkKmvEhE1552tSfJMsH9IgjuF4HF8jK7NvyGfuMbDKjcR+TJHzn1zgpSx7zCoEm3tXBPBOcT4VAIBAKBoE4qK0zEz5/JyJxfQIID+oG4T/uYUb0Ht9g5FEVh6PjJqBdfT/y6pfhueIGe6nE6bXyQ+IPLGHjvZzg1YfZD0Ho4TKSiI2c9q8LFxaW1TWgTCB2062Hw4MEOf10IHTTq0qHCVM7+d65nZM4vWFWJzb0eoO/Tf9OjBZ2J6kiyTPil0fg/GcfGgH9gUSXCc5eR/uY4Th1LPC/nPBsxHjTs7b/DOBQdJQAvPj6eWbNmIUkSs2fPZt68ecybN49Zs2aRnJxcb72dO3ei0+mQJImpU6cSEhLC7Nmza7QdExPDggULiImJISYm5kJ37YIgSZJNB0dGkiR8fHyEDkIHoLYO5soK9r93I0NLN1Ou6tk97mMu+seryBfgRuvi6saYWe+x59KvyMWDEHMSls8vJyNp73k/txgPGnb3X+3gFBQUqICak5NT672ysjL1wIEDallZWStYZj95eXkqoObl5dnKVq1apRqNxhplSUlJtnpWq1UtLCxUrVarOnfu3Br1qo6fOXOm7bjg4OAL0JMLT3UdmkJ7HSv1UVlZqW7YsEGtrKxsbVNaFaGDxtk6bP7kn6r6oqda/oKvunvdz61mV3rKITX1P/1V9UVPNefFQPX44V3n9XxiPGjk5OSogFpQUNCk4xxmhqKjExUVRX5+fo2ZBR8fn1r1FixYwFNPPYXRaKxRPmvWLObOnQtAcHAwq1atOq/2ClofR19KXYXQQaNKh50rv2VUxncA7B0xl8GXTGk1m7oHheEy6y+OyMH4UID8fTR5mWnn9ZxiPNiPCMqsjqpCZWnrnFvvCs2YZouPjwe0TcHq48svv+S222pHTScnJ5Obm4vRaCQ+Pp7g4GCCg+tMUyMQCDowhXnZBG56DoAtnW9m1NV3t7JF4N+lO8z8nbT5UfRQM0j6dDLuT25Ab3BtbdMEZyEciupUlsKrXVvn3M+eAKemRTLHxMTYnICcnBySkpLqdQRmz57Np59+yr/+9a9a78XHx+Pj48OSJUuIiopiwYIFBAcHEx0dbVdXBAJB++Twj88yinyOyt0ZdudbrW2ODf8u3Umd8TO5311OiDmR+M8fIPz+L1vbLMFZOMwjj44YtRsVFWX7FxMTU+cjDoA5c+bwzDPPEBwcXCsQEyA3N5fk5GSioqIwGo3MnDmTqVOnnm/zWw1XV/HLRlEUIiMjO+R10RSEDhqKohDU1ZfwU78CUHTpHAzObes6Ceo9gJRxmpMTnrWUA2u+b/FziPGgYW//xQxFdfSu2kxBa53bTsLDwxk+fDizZ89m/vz5td6fNWsWRqORRYsWERoayk033VTj0UhwcDBGo9EWV1H1f3x8/DkfobRXHH1flyrEJmkaQgeNjJj3CJIs7HcawsCx17W2OXUSMXEasQlrGZv1PZ02/JvyEVfh7G5s0XOI8WA/DvPNarFYGq4kSdpjh9b418xlSkajsd6lnlUzF/7+/jz55JO1Zh8cLV6iuLi4tU1odSwWC7GxsY27LjowQgeNstIS+mYuA8A86sFWtubcDL19HsfojL+aw77vn23RtsV40LC3/w7jUHR0QkJCbHkoqgI0c3Nza9WrWskxb948W1lwcDDDhw8nPz8f0II0g4ODO+TshEAgqE3C5t/xlorJxpsB425oVluq1UppcT4FpzLIyThKWVEeagvun+Pu7kHGmP8CMOj4IvJOHm2xtgXNQzzyaGfEx8fz008/ER0dzYIFC4iKiiI8PJyZM2eyatUq5s2bZ3tkUfX4Y86cOUybNo0+ffrYnI7Zs2eTk5PDM888g9FoZPHixcyePZuIiAh27Nghlo0KBA6EKUGb3Uz2GcdIvVOjj1OtVpIP7iBrbwy649vxLUnEz5KJh1RWo55FlciWO3HKuSdl3n1x6zue4PBJdj+uGD5xKvu2vstA8372LX2JiPu/sKsdQcvSLhyK5ORklixZQnBwMMnJycycObNWHgVHITw8vN6Zg8WLF9d4PX/+fJtToaoqxcXFBAcHk5SUVOtYo9FYZ/yFQCDo2FgsFnyy4wA46RyKxWJpMCgv88RREpe9T+DxZYSox6mx4Xi1p7cWVUKRVBRJpYuaTZeybCjbDie+pXK1wl73EUhDb6LvxdPQNWEZqCTLmMY8Bev/Qf+s3yktzMHV07cJvRacDyRVVdXWNqIhqn41g+ZczJ49u9bNsz4KCwvx8vIiPz8fLy+vGu+Vl5eTkpJCr169cHZ2bnG72xLVP2ZHTitrrw4dbayoqmq7cTj6eHBkHZYuXcqjjz5Mwh2lOEtmwhY6U2px4t1332XKlNoJrU4cTSRt6QuE5/+Fk6QlgKpQdSS4DKHEfzguQcMxduuNT0AQLi7uKDodJaUlFORkkXvsMEXHDiAdjyOwYAfdybS1m4ORtLA76H/dIxjcvBtlu9ViJfWVIQSracT3f4bwaU83Ww9HHw9VFBQUYDQaKSgowNPTs9HHtfkZiur7U4D2vL+j7jNxvrFarWKFA0KHKkwmk1hCi+PqsHTpUqKjownq6ouzZMak6kg6loPVaiU6OpolS5bYnAqTqZxt3/6HiLQv6CqZQILD+n4UD76DsEumMciz7iXrAO5u7ri7udOtRzBwBaDduBP2bScz9mv6ZP5JF3LwTXiH/Nc/50j4kwy45kEk+dyzJLIiczz0JoKPzMN4eBHQfIdC66tjjoeWoM1/q9aVX8HHx8cWeNhYHD1qF6C0tJWygLYxhA7a9RAXF+fw14Wj6mCxWHj44YdRVRVfT2333QLc0el0tlm8Rx55BIvFwtGkgyTNu4Rx6R/jKpk47NSfpGt+ps9zWwi/9j7czuFM1IckSYQNiuTif76P1+wDbBjwMkfpipEiBsa/QPJro8k5ur/BdnpPuB2LKhFsTiL3RO1HuU3FUcfD2djb/zY/Q1G18uBs6lrBAJp3aTKZbK8LCwsBLT97VY52SZJQFAWLxYKqqrZ/Ve/V9RSoqeVNoaXO2VB59X7a005TuFB9amp5XTo0hqr6qqrWyvWv0+mwWq1Yq0WyV42x+sqrxl4Vsiwjy3K95Wefs2pKtq5yqP2FcHa52Wyu0aez67fHPlW3vbF9qqpjtVprnLc996kxn9Pff/9NdnY2BoMBH08XoIASnGvkYDhx4gS/fD+fiYn/R0+pmCJcSIp4kcFXzURWlBbrk16v46LJD1B2xd2sWTKPEakLCKk4ROmXl7J/xH8Iu+zeevvk17krB/X9GWjeT0rsYjynPAE073Oqfo239ufUWmPP3v1M2rxDUR/1ORpz5szhpZdeqlUeFxeHm5uW2jogIICwsDDS0tIwmUyUlJRgNptxcnLCYDBQVlZWQ2yDwYCTkxOlpaU1PngXFxd0Ol2tvAaurq7Islyr3N3dHavVWusXsoeHBxaLhbKyM5HRsizj5uZGZWVlDQdJURRcXV2pqKigoqLCVq7X63F2dsZkMlFZWWkrr+pTeXk5VquVkpKSDtMnez+nKh2a0qcqewsLCzl48KCt3M3NjcjISDIzM0lISLCV+/j4MHjwYNLS0khNTbWVV429xMREMjIybOVBQUEEBQWxf//+Gs5yWFgYAQEB7Ny50/bZAQwePBgfHx+2bNlS4+KPjIzEYDAQGxtbo09jx47FZDIRFxdnK6tqLy8vjz179nSIPul0OsaOHdvoPlUFdx87doy0tDObTrXnPjXmc8rLy+P//u//ANi7bS3fZnvi2TWEF18cYbtZJe6I4arEF3GRKkiQgkkdMhuDRxfyCwrOW588Bl5L9iW3kfjdHQy17GPAtqdZf2gz3hMfY/CQoXX2KTfgYkjfT2XiOmJjRzXrc4qLi6OkpIQtW7a0ic+ptcZe9XaaQpsPylywYAHz58+3BWUCeHt7s3jxYqKiomrVr2uGIjAwkMzMTNujkyoPsKKigsTERPz9/fH19bW91xFnKKpuom5ubrZgo/beJ3tnKM7WoTHk5OSQnZ1N7969a73X3n59gDZDERcXx0UXXWSzp733qbrtTZmhiIuLY8SIETXiatpznxo7Q3HllVfazqUoCi+++CKvvfYaJpOJUUNCWXZFJq5SBftcR9DrvkUYXD0uWJ/KysrZ+MVsorIXArDPZxIDHvgBVVJq9Wn3hj8IX3c7mVInfJ/Tbtj2fk7l5eXExcURGRmJTqdr9c+ptcZebm4unTt3bnJQZpt3KJKTk5k6dWothyIlJaVRS0erVnnUJ0xGRgb5+fn4+/vj6urq0JG9gtqoqkppaSlZWVkYjUYCAgJa2ySBoNlYLBaCgoI4fvx4LQe8R7fObL9Lh59cxAGX4YQ9tgxFf+HTUauqypqf3uPigy+hlyzs73QFA+7/Ac4KqD6Vm0On97Rsv2WPJOJi9LvgtnY0Grpv1kebf+Rxdlro5ORkhg8f3uQ8FPX5TV26dAEgKyvLLvvaE2J1g4Y9OhiNRttY6QioqkpeXh7e3t4O7UQ7qg6KovDuu+8SHR2NJElIkkTv3r1JSk7hu1u64CenkEgPgh/4uVWcCdB+qU+86WHW/ebF2B2PMuDUCvZ9cT8D7/mkRj1fbx8y8aYzeWSnHaRHMxwKRx0PZ2PvPEObdygAWxbHyMhI4uLiGp2Dojr1Ra1KkkRAQAD+/v41ntN3NMxms22zL52uXXzs5wV7dNDr9R1u90GLxcKePXsYO3asQ48HR9ZhypQpLFmyhIcffpjs7GzuvfdeMuJ+ZqzLfkpVAx53/NDiG2/Zw/jr7mBVeSmTDjzDwGM/cHjFEPpc8U/b+5Ikka3rSmdzHoUZR2DwxXafy5HHQ3U67CoP0GYpqvagiI6OPi/nUBSlw900qmM2m7FarTg7Ozv0hSJ0EAjOMGXKFK6//nr+/vtvTpw4xl1h2r4Yhwc9ztBeA1vZujNETf0nKz8+wmVZX9Bzy/Nkh0biFzrc9n6p3gfMUFFc9+o/wYVBzH8LBAKBA6MoCuPGjcPzxHq8pWLSlJ4MmfxYa5tVA0mSuPieeWzTj8BAJaU/zUQ1n1kRZtFpiajU8sLWMlGAcCgciqpls46O0EFD6KAhdICi4iJGF/8FQPHIR5AUfStbVBtnJz2dZswnT3WnZ2USB5f81/aeVTkd51FZ3uzziPFgPw7jUDj69LZOp7MthXJkhA4aQgcNoYPGgb//h69USJbUiX4Tb2ttc+oluFcwcX2fAiDo0ALK87Q8DbL19GyFvnn77IjxoGFv/x3Goai+ztcRsVqtZGRkCB2EDoDQoQqhg4Zy8BcAjnW70u7ZiXKTifTkQyTs3MDe2D84sHk5CfHryTx6CHOFqeEGGsnFNz7AASkUV8pJWvxvABSzNjMh6ZrnUIjxoGFv/x3GDRMDxEpCQgJ+fn4OvXRU6KAhdNAQOkBFpYWw0niQwCf8hkYfl5FxnOStf0DyOgKK9tHNeoJAqe6UzWZV5rjSmSyPAaiBowgecyPGgOA66zaEs5OOrFH/pv/mO+h94hdM+a/gWnEKAL1X85Z2i/GgIRwKgUAgEDSZpITd9JOKKFf1dOt/0TnrVpotxMUsQtn1DcPKthAgVVteKIFJ1VMoeVAmuyKpVvRqBd5qAQapkm7WDLoVZEBBDOx7hUR9H0r7RtP3ivtwcvNqks1joq5n35beDFSPcGDZexjNWh4hd/8eTe6/oOUQDoVAIBA4MLkpuwE4qvQgRFd3EiuLVWXT8u/x2/Emo62nd/WU4KguiFOdx+ASegmdew/Dp2sIfmdtO26xWMg8mc7xhB2UJm/GeHIT/SsPEFp5GPa+SvHedzjYI5qw6Bdx9uzUKJv1isyJfncx8MAzdD/8Ne5qCUjg2z3MfiEEzcZhHApHznoGWv99fHyEDkIHQOhQhdABKnO1TdGKDF3q1CEl5Qgnf3yIcaZNAJTiTELXyXS9dCY9Q8Pp2UD7iqLQuVsQnbsFwaU3AnD82FGOrPmaXsnf05MTDEn7msK3lpI46AEG3PBko+I4hk66hYL9/8VLKgYJcvHCxy+wSX0/GzEeNOztv8M8JOrISasag6IoDB48WOggdACEDlUIHUAq05JByZ4BtXRYt3wRxoUTuMi0iUpVYXfgbfDIHobN/ITOoeF2n7Nb956Mv/15Ap7by4bID0iSeuBJMQP3ziVl3jhyj+5vsA1/by/i3cbZXme49oVmOgJiPGjY23+HcShEUKaV1NRUoYPQARA6VCF0AKxaIGW5WbXpYLWqLP/iJcZtmYm3VESqvjd5t65iyN0f4Grs3GKndtLrGHf1bXR7egcxoc9SpLoQbDqI65fjSV73TYPHW/pcZfu7PHBMs+0R40HD3v4Lh8JBEBeKhtBBQ+igIXQAZO3Jt7msGKvViqqq/PXZc1yZ9haKpLLf/1p6PLkB/94R580EZ4MTUbfO5sQta4lXhuBMBcHrHuTgD0/DOTaq8g6JtP3dvW9kvfUaixgPGsKhEAgEAkHTcdUCIQ3mAgCWf/06V574EICDve9jwD+/QXZyuSCmhPXpR9gTq1jpNRWAfgkfk7DwgXqditJDMba/TaVFF8RGQf0Ih0IgEAgcGJ13dwB8KjPZtH45UcmvAXAg9F763TK32XEJTcXNxUDUw5/yRw8tI2bY0e9I+Kpup8KYsMj2d/GxhuMuBOcXh3EoRNSutk270EHoAEKHKoQO0ClUe5TRW02hz98P4SRZSPAZT/8Z81rNJlmWuPrOZ/kj6FmsqkRY6nck/v5GjTp749YzyLzvTMGpw80+rxgPGmKVRwOIqF2FsLAwoYPQARA6VCF0gKDQ/uSpHgB0kXLJkv0JvfcbaOVMkZIkcfU/nuKPzvcB0GvH/3Fyx5+298vWvF6jvr4su9nnFONBQ6zyaACLxdJwpQ6MxWIhISFB6CB0AIQOVQgdwKDXcZQA2+vKq95GcfFsRYvOIEkSl9/7CjHOl6NIKoY/HqCyMJM9W9cwvDQWgJjuDwLgXJHX7POJ8aBhb/8dxqFQzxEp7AioqkpGRobQQegACB2qEDpohJBu+ztgyGWtaEltDHod/e/5hEQC8VbzOPrlPehXPo0sqezyvgJdz5EAOFnLmn0uMR407O2/wzgUAoFAIKjNkdQ03Ci3vT645ttWtKZuunby4dil71GpKoTm/U0/SwIlONPr5jOPPRzbBWgbCIdCIBAIHJik1V8iS2dux15b38BqrmxFi+rmknET2MpA2+vE/g/h5d8D1Vo1Pe/YgZRtAYfZy8ORt6IFrf9BQUFCB6EDIHSoQugAvsdXA7C12x30PvYz3a3H2bl0HsOmPdfgsacKijh+ZDfFWamY848jmctRrWZ0Ti7I7p3w6BRItz7heHdqfnbNU9kn6cNR2+tOfv4AVBZrqcPLdc2P+xDjQcPe/guHwkGoulAcHaGDhtBBw9F1SM/KZbDlAEgw8OpZxK/vyriEV+m7/x0yU66nc6+BNeqXV5jZFbeBwl2/0DVnE70tKQyRGpjNWAmZ+HLMKwIp9FL6XjwVV6/G7SpaRVlZGRmfTmOwlG8rUza9C5fchblY27q8wuDTpDbrwtHHQxX23i8d5i4ronYt7NmzR+ggdACEDlU4ug7pCTswSJUUSJ4kZVcy8sbH2KUfhotUQdm3Mygr0lZOZOTksvyr10h/dSijVt3AZdkLGWg9jEGqpBhXUvSh7HMfzS5jFLu8L2eXx8UcMgwiQ9JmETqTQ0TBSsJ3PI3yVl92vTWZlO3Lz5lWu4qy0lIOvHsDgyv3UIIzmy/5ngLVlS6V6eTvXYGSr+2WanYPaKClhnH08VCFvf13mBkKEbWrkpubK3QQOgBChyocXYeiNC0xVJZLCLl5eciyRKdbPyX7yyiCLEfZ88GNpHW5jOGp87lSOv1oASdSvEYh97uarkMm4NGlD+7nSIRUUphL0u5Yig/E0OXkWoJJY2jhGvhjDYmrBqBc+gy9Rl5b57EFBXkkfTSVCFMc5aqe45cv4KLRV/PntklcXfYrpzYuxKNQc3r0AQOarYejj4cq7O2/wzgUAoFAIDiLogwATG5dbUXde/Zm31Vf4rdsMoNNOxh8dAdIkC37kzvoLkIvv49+rt6NPoWbpw+Dx10H465DtVrZvzOWvL8/JTJ/OaGm/bD8Vg5suoTAW97Hw7+n7bi0pENUfHcT4dYUylU9aVd8QZ+LrgNAFz4DNv5KYNZa/FU9SODba0gLiSKwF4d55CEQCASCmsgmbUMw1dloK7NaVY4kHalVV/rHL4RNfgalCc5ErTZkmQERFzP20W84eedW1hqnUKkq9C9Yj/zRCJJWf4Gqqmz67VM8v55IqDWFXLw4fv0imzMBMOKiCaRaO2OgEk+plEp0+PS+yG67BC2DwzgUIihTJiwsTOggdACEDlU4ug5SVfYGWUs5bbbC0vkvcP2h2bXq6r68jF3LP0dtoa29ewaFMOGRL9l3ze/slfviRjkhGx5FesnI6PgnMErFJOl6o967lpDwS2sc6+1uYL/bCNvrdNcB4OTabJscfTxUIYIyG0AMEJmAgAChg9ABEDpU4eg6qIpB+6OyHP/OXfht/vNEZ76HLKkk95wOz+eQfvtWEpTeGClm6NbH2D9vIsm7Y1vMhmGRY3C75Zta5bu6zSBo9kZ8u4XUeVxFj4vP/B00oUVscfTxUIVwKBrAbDa3tgmtitlsJi4uTuggdACEDlU4ug6qq7Z8Uyk5yZfvv8y0nI8ASBnwIMF3zAdFR2BwX3o+8TcbA2dhUvUMLI8n+H9Xs/e1iexa+Q0V5falvK6oqGDX+l/Y8tZUun89qtb7Pjk7kCrrbztP52f7u9fYqXbZcDaOPh6qsLf/IijTgSgpKWltE9oEQgcNoYOGI+ug9wuGNOidv5FebAEJUkNupVf0K1Bt5Yaziytj7p7H0SO3kfn7S0QUxDCofDts2k7BptnsdY/E0nMcxpBIAkIG4eFVMyeEarWSl5NFVnoCuYe3oD++lZCiOIZSqFWQIMGpP5bRj3AKIwPX3k2P8gRSP7qBng8vR9K71LLd9ega2986a8tl9nTk8dBchEMhEAgEDopvcDjsAL1kQY+FVK8RBN3yfg1nojo9ew+i52NLSEvcx/FVHxKSuQJ/cokoXgf718F+rV6R6kKJ5EalpMdJNeGmluEjlXF26ql8PEj0GY/vxfcSNvQSW/laFhKx9laCineS/OltBP9zcQ2bTuYUcGnRb7Zs20WZKRi7D2s5YQR2IRwKgUAgcFD6hvWr8brL7V9AI56f9wgdSI/QjzFXVnJgewwFB9fgkbmNLqZUOpGPh1SGB2Vnduw6fePPwchJ516U+A/Ho+94+kRexnC9U632J4yP4s+i95m0fRbBWas4uuxNel79hO39Hb+8y9XVsmYWZadhbGrnBS2OwzgUiqK0tgmtiqIoDB48WOggdACEDlU4ug4JqekMqvba4NO9Scfr9Hr6X3QlXHSlrawwP4einBOUFeZhrixHb3DB2dWDTt2C8XX1xLeRbV91TTQ/H9tDdOZ7dIt7leL+F+PeawQpxzMYlfZpjb3ArKW5TbK7Phx9PFRhb/8dxqGQzpHJzRGQJAkfn+bnum/vCB00hA4ajq5D4vIPbA5FCS4YyovQuTRvky1Poy+exsa6DfUjSRJX3fUC6+ZtZ7xlE4WL7sftic0c/vFZLpcKydB1Z5duMFeWL2ux3VEdfTxUYe/9UqzycBDMZjOxsbFCB6EDIHSowpF1yCwoZeSpn22v3Sjj4B/vt6JFtXE16HGb/Db5qhtdy46w/70bmVT4PwDUK16jQjr9uMTSMg6FI4+H6tjbf4dxKATCqapC6KAhdNBwVB3iNqygq5RDieTK2l6PA9DtwAIqivNa2bKaRA7sy18B9wMwsGA9sqSS0OVaug6/Fr25FADF2b3Fzueo46ElcJhHHgKBQCCoxqE/ADjR+VKGXv8QqW9/RxAn2f3jswy55+M6DzmeW8zh3RspS9+DknMYV1MWTuYinFQTFskJi+KMyTUAq1cPPHsNo9fgcXh7N/8RwuBr7oPPXre9Dr1Nm0kxWIoBUFy9mn0OQfMRDoVAIBA4GGaLle5Fe0AC9/6T8HB3Z0W3ewg68QqD0n8gZds19BpxNQBpWQXsWL0IY9L/GFq5mwlS8TkaBkxAHpAKljUSh/Rh5Pa4guBLZtClZ1iTbS2vMHPi+39RfT2K4uRCpcWK0XwKZHDzaf7W5YLmI6kdfJ/WwsJCvLy8yM/Px8vLcb1YVVUpLS3F1dXVoQNUhQ4aQgcNR9Uh4UQeQfNDMUhmrA/uRPLtRUlJCTs/uZtxxSvIxYvkaxeTEruY8bmL8JMKbMeWSK6cdOuHyScMydgDnbs3ks4VS2U5ptICLLnpKPkpdC4+QGf1lO04qyqx1/0iXMY+QJ9RV9eb66I6pkoz696fxeWFS2qU5172HoV9onF7vy9+UiHqzHVIXZufh8JRx8PZFBQUYDQaKSgowNOz8UG6YobCgTAYDK1tQptA6KAhdNBwRB2yj6cQJpmpRIfeJwgVcHZ2ZtC980l4axxhUho+v1/GcAAJCmQj2cGT6TJqGu69RhCiNO7Wcep4Iskbf8Yt8Q8GVOxhSMkm+GsTh9YPwe2aOQQOHFPvsQVFpcR/9A8uL1sJQNJFr7F9/0GmF35F6davSDKMYKKkZdqUfOre78MeHHE8tBQOE5RpsVha24RWxWKxEBsbK3QQOgBChyocVYeSU2kA5Ov8QJZtOsQfPoqs1tTi2LDH8HoukdBb38E9dDQ00pkA6NQtlBHTZjPg2Q0k37SeTT5TMKl6+pbvJnDJVeyZfzfmssJaxyWlpJD4zhVMKFuJRZVIHPkqIZf/E5fwmwAIKNhJ2T4tBiTL0BOcm7fUtQpHHQ9nY2//HcahEAgEAoGGWqFtulUpO2uvVZVdB/bT/4/r6S0fr1HXeeeXJO3+u9nnDO47lNEPfUnG7bFscosCYHDGErJfjyTr0EYArFaVmD9+xGPheCIsuynDwIkrvyD0ygcAGDM8gn3WIBSsjE7RAjNLOg9vtm2ClkE4FAKBQOBgqKdnIaySjKqqfP3DN9yX+SJdpDyynIOo+Oc20v6xjSSpJ53II+jXG4n7/BEqykubfe6gkL5c9MQSYkd/zgk6EWA9ideP17P9h5fZOO8GorbPwl/K55g+iLJ/rCJw1BTbsb7uBg64jQDABy2uwzhgYrNtErQMwqEQCAQCB0Pv5g2As7mIb378jhlJs3GWKjnuOwb/Rzbg1DmMHr3C8H1oLVs8JqFIKpHpX5IzdzDxf8zH0sxcDZIkMfayaPjnJnZbgzFQyfCENxlXvg6LKrG/+3S6PrEJn15Dah1b2TXyzN/o8B5yTbNsEbQcYpWHg6CqKhaLBUVRHDp6WeigIXTQcFQdNm/fwUV/XApAoeqKp1TKCb9xBMxcgqR3rlFXVVXili2kZ9zLdEbbMyND8iO11830vOQ2uvbs0+Tz5xUUsXvDrxj2/kBk+SZ0ktX2XlqXSfS4b0m9x/65dT9XLx8NwAmvcLo+urbJ568PRx0PZyNWeQgaxGQy4erq2tpmtDpCBw2hg4Yj6tA9qDdmVUYnWfGUSjnpPgCvW78CXe0VDpIkMeLqOykdfyObFs2h/9GvCVCzCUh+D5Lf44gSQrZPJErgcDwD++PdtReeRj90ioLVaiU/P5e87Axyj+6l4sQ+3DO3M6BiD+Ml0+kTQJLzAEoqVAZbD9Dj5CqOxXxC96j76rS92HrGRq/z8LjDEcdDS+EwDoWI2rUQFxfH2LFj0ekc5mOvhdBBQ+ig4ag6BHi715gV8LnjBzbt3HtOHVzdPBl95xzKS58jbsXnuB9aRJhpP70tSfTOToLsHyH+TP0KVUEBukgWupzdmAS5kjfHul1Btwn3EhISQaXFyi/v/osbCr+lS+yz5Ab0xqcOh6Ek7lvb33r/vs1QoTaOOh7Oxt77peMqJhAIBA7Kik3bqYo8sCIjG7sBKY061tnVncgpDwMPk5d1nJStv2JJ244xfx+dKjPwRlsG6iSduSmV40Smriv5Hr2RAobQLeIqfIPD8an2WEGvyFz6z7dZ82Yal5r/Rvn5Lqw94pA9/G11Eo5nc3nO17aty8uL83BqjhCCFkU4FAKBQOBAVJitWNbNs70uwQXnCvtWb3j7d8P72vtrlFlMpZhK8jBXViJLEm7GTjg7udET6NlAe54uTvS6+wsOfzKBPtZ0jn59Lz3v/wUkCVVV2bFoHjOknDN9Kcm3y27B+UGs8nAgHHkKrzpCBw2hg4aj6bAufj9XmtfYXntQQuqG71tMB8XgiqtPNzw7B+Hu3xPJya1Jx/cK8OPwmLcwqTp6Zq8jb/siAGK2bOeG/K8AsKjaFIXVXN4iNlfH0cZDS+IwDoWjDxKdTufwzwVB6FCF0EHDEXU4tfErnCQLGe4DWNF5JgAucR8xdvRFbUaHqydN4lf36QCoK18g81QO7n89hqtk4rjnMJZJ4wBQdM7naqbJOOJ4qAt7++8wDkUHXx3bIKqqkpubK3QQOgBChyocTYeC0koG5q0GwBB5O/2vf5R81Y3u5qPs+f39c+qQV1LBgeMFxO45xPqtcazfvIXNO+I5kHqCU0UtO1MgSRL9pj7PCdUHn8qTOH8wiIvYQzkG/GZ8hGKtAEDWt2wEhaONh/qwt/8O44aJVR4W9uzZ4/Det9BBQ+ig4Wg6bN1/hChJC770Cb8BH48urOz2Dy478RGBO9+gePSNePgFApBVWM7G7TsoP7ACY+5uepuPECxl01+qrNVuserMPimQHPdQrD3G0DPyanoF9WpWLodBQQF82/lubs16HS9KACia+BpOnr3xJR9o+W3LHW081IdY5SEQCASCc5J/eAOypJLp3IvOHtpizpE3P0fiW38Sqh5l39f3cWrS+xxd8znhuX8wWU49c3C1+exyDFglGZ1qxolK3KVyBnIEio/AgeVw4N/sU/qR12cagy+7Ay9vH7vsPanrZvvbiozfuLs4dLKQzuQB4OTd3a52BecH4VAIBAKBo5B1CIBSn/62Ii8Pd45c9i78dQMDi2Jh6TDtDRksyGR4DUMNGkunsNG4dAkDz644VyXAUlWoKKY8J50Th3dQnLIdzxOxBFUmMtByEA6+RMGBN9jU4xYGTHkKL2+/Rpmpqio///IzM48/a1simu05gM5A0olTXC5la4XGhtaNCC4kwqFwINzcmhZt3VEROmgIHTQcSQf30nQAlE69bWX5pRVs3n2As/fszLvkFbxH3Ex3t071NyhJYPDAuWt/grv2h/G3AVCYmcaR1Z/TOXER3a0nGJ2+gIJ3vyd+8OMMu+FhJFmpt0mzxcqiH7/khsPPaEGY+NONLDoX7oXcFLKTdqGTrJQoRtw8u9qtRX040nhoadpFUGZ8fDwRERHNasORn4eB1v/IyEihg9ABEDpU4Wg6OJu1pFN6T22mID45k2Vv3sW/Tj5bq27y8SxUF/seVXh27kHEjJfo+uxe4ke+TYrcEy+KCd/zEomvjSX3WEKdx+UWl7P03Ue46fDjuEomjvlchPuj24m1DgQgL/5/WNLjACj07qc5NC2Io42H+uiwqzyWLNE2iYmPj2+g5rmxWq0NV+rAWK1WMjIyhA5CB0DoUIWj6WBQtdUYspMbq3cnUbrwRmZYfgfgWPBNmJ9KZ33nfwAQkfgeu965kbKifLvPJ+t0hF95F92f2c6GkMcpVl3oXXEA/WfjSfz7xxp1122J48ibUUwr/ApZUjkaNI3u9/+Kl5cXiZ4XAVB8cBVB+VsAcOk93m676sPRxkN92Nv/Nu9QREdHEx4e3ux2xACxkpCQIHQQOgBChyocTQezpC2zPJScgu/PUxkr76VccqbkhoUk9rgZnFy5+L532RD6FJWqwrDCNeS9NYLdaxc367x6vRPjbnuB7NvWsV8Ow4NSQtfMImHp/3HkWCZL332UEcuvZqS6l3KcOHnJPHre8altszI5VNsZteupzYyR9gJgHHxls2yqC0cbD/XRYR0KgUAgELQMlYq2i+Ylqe8yVE6iRPFCd+cfGAZea6sjSRLjbn2OQ1f8yEk60VXNZMj6e9j12iT2b41p1vl7hfal5xPrWe05GYCwPfPo/VkfpuR9gatkIt0zHOn+TXSZMKvGcYF9wylWnVEkFWepkgKnztB5ULNsEbQ8He5BkclkwmQy2V4XFmrPDM1mM2azGdAuGEVRsFgsNRJ4yLKMLMv1llcdX4WiKEiSVGc51F7LW1+5TqdDVdU6y61Waw1vscr2+sob6lOVrR2pT2eXn6tPZrPZpkNH6VNjbD+7vEoHoMP0qbrtje1TVR2r1VrjvO25T+f6nHL0XeC0KeWSM/rbf0buHoHVaq3x/QAwYGQUZQN3sPnbp4k8+RNDy7fB8hs5sLIvuaE3Ejh6Gt26nVm22VCfzGYzR7PyOLT5T/TlxZzNiUvfIeCiW9DpnWrZ3sffg0NqD4ZLhwGo6B+N2WpFUtUW/5yq6+Co3xFnH9NYOpxDMWfOHF566aVa5XFxcbbo3YCAAMLCwkhMTCQjI8NWJygoiKCgIPbv309ubq6tPCwsjICAAHbu3ElJSYmtfPDgwfj4+LBly5YaH0BkZCQGg4HY2NgaNowdOxaTyURcXJytrCrVa15eHnv27LGVu7m5ERkZSWZmJgkJZwKYfHx8GDx4MGlpaaSmptrKG+rTwYMHKS8vZ8uWLR2mT/Z+TlU6dKQ+VdGUPplMJiRJ6lB9aurnZDQa8fHx4dixY6SlpXWIPtX3OXXp0gXX4qNweoHFgX6PU5hSQpCaRmBgIKqq2r4fqvdJN/xuVqaPw/3wYi4q+5v+lkOQ8H9YD73KYaknKYa+FLv2wK93BC7eXUhKOwmqFau5AktpHn6uKmQdolPBXgaQRKh05gdfdZITj3DcZXedffL29sZSbUI92WkAZbGxLf45xcXF1fiedNTviOrtNAVJbYUcowsWLCApKane9ydNmkRUVFSNMun0bnMNUdcMRWBgIDk5OXh6etraam0PsDodxasVfRJ9En1qu31auy+NSb8Ms702zz4Gepcm9akgK52U9V/TKekXgszJ2EOu7EtWt4l0GX0LrqFjWf7+g1xf+AMV6Ci/bRmeISNr2V5SYcFr3pltzM3/zqnR1470ObWFPhUWFuLr60tBQYHtvtkYWsWhsIfGOhRnU1hYiJeXF3l5eRiNxpY3rJ1gtVpJS0ujR48eyLLjhs4IHTSEDhqOooPFqvLVa/dzV8X3trKTVy+kS6QWy2CPDiU5x0ndvpzK9J0Y8o7gaTqBq6UIN7UYCwoWdBTrjBQ7d6HSswfOPUfQZcBYXLoOhGrnKCitYO8bVzHWGke2vit+T2wDg0eNc33xy1/ctWsaACZDJwzP1P+DtDk4ynhoiPz8fLy9vZvsULSrRx75+fl2OwUiatdKamoq3bt3d+gLReigIXTQcBQdVu9OZrLpN5AgT/bG25pH/tbvajgUTdXBzbcbAy6/55x13BvRjperE14zPufYN5fSvfIEaUueo8ct79neT88tpVf8HNsSgnxvLWPm+cBRxkNDdNhVHjExMcyePRvQ4iOq8lIIBAKBoHEcXfsl3lIx+YZu7Bn3MQAhp9ZSdiqtgSMvDINCe7Kh3/MAdDvyDeVHtwNgtaos/fYDJsg7bXUlq2Nv9NiWafMORVRUFHPnzkVVVebOnUt0dHRrmyQQCATthszCcobkrwJAGnEPYy6+nJ3yAPSYSfp1Titbd4brp9zKX/LFKFjJ+eUZAH5aG8ftOe8CcAovraKiby0TBQ3Qrh55NIfmbKPbEZAkiYCAAKGD0AEQOlThCDrE7trPZElbXeA1fBooMrnh/4Lt9xGW/hO5qffjFdifgIAACsvN7EjNIu3gNtTM/bgUJuNWkYOLtQQnKqmUnanUuVLu1h18gjGGRDJocDj+ni7NttPVSUfFJc9RsWYj3fK2sXf9UkLXz8VbLibHsx+/lodzd8V3yK7ezT5XfTjCeGgM9vbfYRyKqghWR0VRFMLCwlrbjFZH6KAhdNBwBB2KErQty7Nde+PnpeWNGH/ldLbt/pwRlXFk/3g/G6IWkrr5D3pnrWC0vJ9J0lnLBqvPZZuBgtP/UuDUKk/WGYZR0fd6hk6Ixt/by25brxg7gt//nsQUywoGrb0TZCiT3fC+9SvkD/8LEujc7NtfpDE4wnhoDPbeLx3GoTh7iYyjYbFYSExMJDQ01KGdK6GDhtBBwxF0cMnS4g8qup7ZT1RRZAzXvQU/jyOsfA9hf5ze3uC0BOWyG/nG/qid+qD3DkRxNSIpTlSUl1BelIc5JxldXhJdSg7RSSpkfMV62LOe3N0vEOM3mZCrH6VXr5Am26pXZNL73gX7V9jKpKlfcMqlJ92tJ0ABty69z9FC83CE8dAY7L1fOoxD0U5Wx543VFUlIyODkJCmX+QdCaGDhtBBo6ProKoqvqZjIINLt8G28g2HM4n77RuGnFU/b9j9eIdPwbnrMLoojbg9mE0UHNnMiS2L8U9fjq81h6hT31C+8Ef+DpjB4On/wejd+BmFlOxi3PZ9D6dn3CsN3jj3u4L4pFMESycA0Hfu0+j2mkpHHw+Nxd77ZZsPyhQIBAKBfeSVVtKFUwB4dgmi0mLl7cUxGL69lscqF9Sqn+baHwIjoTHOBIDOgFe/8fS780N8nztM8qUfk2Toh7NUycUnv6Ly3WHsivmhUU3FJWZw4MObuEf6xVZWqGjxEgeSjtJLOqkVdh7YONsEFxzhUAgEAkEHxWS24Iq2ZXmZ4s4rH37G7fvuYIScQIXsgmnSa5ifzWKL20QABsQ+xLZFc+07maIj+OIZhDy9mYOXfMwxuSt+5DM09j62v3crFWV1p3O2WFW+XbYW/ddXczUbMKMQ2+sRKlUF39JkyEmi8HAssqRS4BoE7v51tiNofRzGoXDkJCWg9T8oKEjoIHQAhA5VdHQdLFYVHdrz8OU/f8VzOU/jKxVR6D0Ap39txTDmn+icDAz513dscpuITrIy4sCrbHn7ZgrychtovR4kiX4TZuD31HY2d5mBVZUYnvs7aW9NoOjUsRpVE07k8/k7z3PD1psYKidRKrtjuXkxITc8zXarFhxZdGgtvlmbAVB7XGS/GI2go4+HxmJv/9tN6m17qUq93dQUogKBQNDeKSyv5MSrw+grp9vKioKvxuOmz8DJtUZd1Wply9fPMTLlY2RJ5QR+pA5/npFX3oai2H+D3bn+V3qtuR+jVEyW1Amnu5dR7tGTZX8sYUTCGwyUUwDI8hmO3+0LkYyBACx8+S7usP5MvM9VBORsIUDKRb3pe6S+V9tti6Bx2HvfdBg3TKzysLBnzx6hg9ABEDpU0dF18DDo8JGKbK+LQq/D45avazkTFouFvfv2MeK2V0i8+kcyJH+6ks3o7Q9x8NXRbPjjG8orKu2yYdgl15N90zKO0hV/9RTGz0agvtWPu448wEA5hVLZjbyLX8b/wZU2ZwKg2G8oAOG5ywiQcjEpbkghE+2yobF09PHQWOztv8M4FB18IqZBVFUlNzdX6CB0AIQOVXR0HX6JS8Jfyre99rjp8zoDLqvr0GfEFXg/Hkd8z7soR89Ay0HGbX+Q7FcHsOr9B9n490qyC8sadf6yCgubDh4jfvcudlt62soDJO1xSkbvGbg+thvvSx8GueYyTV2XmvkgTH2uBb1zY7tuFx19PDQWe/vvMMtGBQKBwJE4VWwid9nLttcn3frSRefUqGOd3Y2E3/k2hZmPkPDH6/RKX0ogmQTmfANrvqFwtQtxSm9yXIMxu3fF4uyLpDNgVlXUsnwozcO1OJWAiqNESGmMliptOS6qyHbuRcBN79e7osTdP7jGa8+LH2hS/wUXHuFQCAQCQQfku2VruV/9w5bTwViSApXlTfqV79m5J0Pu/gBL+WskbVyEad9v9MrbjKdURqR1DxTvgeJzNFC1Q6jOj8KAi+g0cjrxuc4MWz0Dv/IUUpY8R6/pda8qKbee8UAqnYzoAwbXWU/QdnAYh0JE7cqEhYUJHYQOgNChio6qQ0ZBGUH73kMvW8jqPA7ryX10kfI4uWsFXSJvqFW/IR0UZ3dCJt4FE+8Ci5mSY3vJPLiJilPJSAXp6CsKkCwVyJIVi5MXqrMRvW8vvHoOxLPnUIy+oRhP7w8xFliS+jzRyf+mx8EFFCdNxj1kVK1z/r42lqrN0XXjHmkZYRqgo46HpiJWedSDWOUhEAgcjQV/xHJX3LXoJCvMXM9fP7zL5UVLOWwcR59H/mht8yirsBA79wYmWf4m07kXnZ/cXuPRx6Yj2Zi/nszFyl6t4LZfIGRC6xjrgIhVHg1gNptb24RWxWw2ExcXJ3QQOgBChyo6og6qqsLOb9FJVnJ8I6DrUDzGzAQgJD+WwuOHah1zoXVwcVLwmvI2uao7nctTOLXhc9t7xSYz6xa/d8aZANAZLohdHXE82IO9/XeYRx4CKCmpO1OdoyF00BA6aHQ0HQ5kFDK2chPI4HnRnQCMHDGKbTERjDDv4NjPz9H/oZ8BLXBzV1o+B48e4+SBrWzY9Dd6Uw4KFhQJcDYie3bGvUsIvUIHMKi7ETdDy9w2RgwI5Vuf27k17yOcNsyB0beh6l1464c/eMy0wBb7AYDu/K7uqE5HGw8XEuFQCAQCQQdix76D3C4fxYqEvt+VACiyBFEvYl1+Pf1zY/joi8/JLiwlOGcdI6RDXCodR5bqePpdAuQAKVC4yZXdajCpPqNxH3Q148eMwdNZ3yxbh055nPRPFxNINgVbv+V/5tFMT34Od7mcIy6DCSrdj16ygIt3s84juDAIh0IgEAg6EOUpWwHIdetNJ7dOtvKuYZHE/BnOZcoO7k97TCustpSzUDFi9gjE6tYZVdahnl4CqivNwrPsGJ5SKaOlfYzO3wcbFrD771ASA6MZcd0sAv0bv6NodQYGduJL443cWfgJJWveIMTsR5hyjFKnTsT0fIJ/HrodFQnJs5vdegguHA7jUDjy3vag9X/w4MFCB6EDIHSooiPqYMjVYiQq/QcAUF5p4aOVe9FteZ+HlB016pYMuBm3QdeidovAXOmEt7c3kiTVahNLJWQfInvfGsr2L6dr3jaGSIkMOfYaJz9cwB+BdzB2+uMYPdybbG/AJfdQ/tvndCWTrkomFbILLrf/xKnf9wBQZvDDtZH5M5pLRxwP9mBv/x3GoajzInEgJEnCx8e+XxEdCaGDhtBBoyPqYDSdAEDn14eEk0XM//Y7Hit6ne7KqVp192VbGNHnSiRZ5pwqKHroMgi/LoMg6mHU4iyOrvkct92f08WSzTXH3iLxzSUcGP8ao8c3ba+NzOJKnKUzab11N38H3SJwyvwGAHPnC5d/oiOOB3uw934pVnk4CGazmdjYWKGD0AEQOlTR0XRQVRVXi7Z3R0qpgd8/epJ5Rc/QXTpFmWtX1OiF8GI+W8NfB2Bk1iK2fHg35eXlTdJBcven53XP0OmZ/SSPeIl8yZNQ0hi9bgbrP/wnpgpTg22YzBZe/2klQ1ffUqNcDr2U5FMl9LEcAcA1KLIJCjSPjjYe7MXe/juMQyEQTlUVQgcNoYNGR9PBQAUA/ffO4wn5B3SSlfJ+N+Ly0FakgZNBkhh53Ux2DPw3VlXiopyl7HlnMgUF+U0/mc5A8FWP4PJoPHv9rgXgkuzvOfL6RHIyj9V72MGMQl5/9y3uPXAHQ+Rkyqi2LDQnkXWHMhkr79NOEVQ76dX5pKONhwuJcCgEAoGggyBJEhWnn2S7S+VYkbBcMRfn6V+Ac80ERRHRT7J35DwqVYUR5ZsYuO1xNq39066NoQyefgx64Fv2j3mPEpwZWLmXsk8mkZWeWKNeUXklH/62kZSPovl30SsYpRIKfQZz6vYNbLb0B6Ay6W9Sdv+Nn1RAheIOPUbbqYbgQiMcCoFAIOggJJwsIkrZaXst3fgZyqj76q0/5KqZnIz+hUzJj57SSS7eeDvrXp/Orn377Dr/gEn/IO+Wv8jAj+7qCfjiMnLSEygsr+TLmJ389Nq93LljMlcpW7EgUzL8QTzvj6F7rz7sV7TdRTOPxBF4MgYAc68JcIECMgXNx2FSb+fn5+Pl5dXa5rQaqqpSWlqKq6urQweoCh00hA4aHUmH8koL/37rA94oewFAW275n/zGHVuYTcI3jzIk+3cAKlSF9a6TIOJOLho7Efcm5ps4cTQR08Lr6aVqjz2WWyK5WN6Dm6TFVuT7DME49X0IGGI75q03X+Gxotc5qIThZ86gk1QIN30PfZsW5NkcOtJ4aA4FBQUYjcYmp952mFUeAjAYLkz62raO0EFD6KDRUXT4dNUunix9y5ZhMt1tID0aeazBoxMDZi0kMyGWkmUvElyyi0llKyB2BYc3dOegx2gsQePxCR1Br8Cu+Hs44+J0ZmmhyWwhs8DEsbxSklISKU3eRoA5kF6K5lBcqcQBkO/RG48r/4Ox39Vw1g1b9QmBIuhnSQAJyp39cO59ebN1aSodZTy0Bg7jUFgsltY2oVWxWCzExsYyduxYdDqH+dhrIXTQEDpodBQd0nNLcd38Jp2VfKxIyKh0KTkIlWWgd2nw+Oo6dB6wnpwD68ld+wE9s9fSRzpGn+JFsG8R7IMM1Yf9aicK8MAkGZBVM3q1ks5SHmFSDqMlbZUJZ6UyyDUOxOfh2FqORBWSZ5car3Uj7qmxYdiFoKOMh+Zi7/3ScRUTCASCDsIPMZt5RF4BQFn0DxQuvp8AKZeMHX8SMCq6ye359r8E3/6XoJblkRX/O0X7V+KdtQ0fcyYBUi4BUu6Zymf5B1Yk8txCsHQNx3fINazZl8qkQy/gk7+PnD1/4TvkijrPWa431nitu6j+2A9B20Q4FAKBQNCOySupwHff5zjJFgo7j8Rz4JVs+GsCAUU/UxD3g10ORRWSizf+Y27Hf8ztWkF5AWrWIcrzT1CWl4lkNiHp9Oj1Blx9uyJ5dUf27oWv4UzGzEv7q6x4fStXlP2J5Y/HoP940Nfe7OubTck8e7rYEnE3iovRbrsFrYNwKAQCgaAds3x3GjdK6wDwuFTbo8NzxM2w+mdCctZSmn0UV7+eLXMyZy+kHiNx6QENP0jRUGSJntPnkfnlRjpXHufYn6/R/Yb/1KizKz2fh3X/O3PMuEdaxl7BBUWs8nAQVFXFYrGgKIpDRy8LHTSEDhodQYfX33uHJ3NfpMSpE25PHwZZwWJV2fvKWIZa97G7280MuOsj9p0oZFtKDkdPZmPKSsKl5ASSuRQntQL0rqgGT5x9e+AdGMaQIH+GdDfipGu5zAI/fv4WN6W/RKnkiutTB+H0DERheSXPvf0x75ueP1N5dmqr7DDaEcZDSyBWeQgaxGQy4erq2tpmtDpCBw2hg0Z71sFkttD91AaQoTLsWpC1SEhFligZ+RBsnsmQ4z/wxgtmukmnmCgfIkTOqN2QGSgD8qEyUSFR7cpP0kAKAsbQ+6LrGT+gGwZd8zbMGnPDTBLe/YIwOZ2Tq96hy3X/wWpVefmHdTxT/rYtFsMi6VCcjc06V3Noz+OhtXGYxFZilYeFuLg4oYPQARA6VNHeddh/opBhJADg1e9SAKxWleV7M/isWm6qJ/SLuVm31uZMmJyMFPsMpChgFIXdLyHfL5Ispx5UyK7oJQv95HRuk5bz4Ml/M3LpKH77v5v54c8YCssra9nQWAJ93dkSeBcA7ru/BHMFr/+5kxkpT9O1WpBnhcGn3pUg55v2Ph5aCrHKQyAQCByM1Mw8bpC0XA9S90gSs4qYu3g9l5+cz2fyhlorMLj5RwgcicHVp/ruGbZNscaOGQOlWVjT48jbvwqnxL8wVmYzVf0L67aVrI0bQdm4Z7lywiUoctNv+v0uvZXMr9+lsyWf3378hKEJvxKuJFKh9+Qr82Xcqy7B4hVktx6C1sVhZigEAoGgo1F0MgVZUqmQnFm4p4zP3/svb2TdS7TyN4qkUhk8kdTAyQBYVYmNh0+C6zm255Yk8OqGPPAGfKd/iMczCZhv+R/Hu0xEllQmspXL/57Cr6/fzdETWU22d3gvP1bqtZmU6xKf53JlOxZJT9ENX1FZqW1q5txtYNOFELQJhEPhQDhyopbqCB00hA4a7VkHqSQTgFNWVzz+eog5uvl4SaVU+A+Ge1ajv30pQXcvZIf/FGRJZfj2J9iw/Ic626pTB1lB1/tSut23lMr7NpPW6RL0koUpZT9jnX8x69atapK9JrOV5aV9a5Qpt/zIFks/hknaRmK6gNZ1KNrzeGhtHGaVR1OjVQUCgaCt8/lXX3B3yqO211ZkpInPI41+qEaWSdViZu970QwuWEuFqrAm7AUuu+lhZDseW+Ts/A3190fpZD2FSdWxvs8zTJrxeIOrIg6dLOSDb5cwu/BVAuVsza7RDyFd9l/+vTiO5/ddgUEyw4PboVPvJtslaDnsvW86zAxFB/ebGkRVVXJzc4UOQgdA6FBFe9ZBVVW2JRy1va7UeyD/41ekcY/VSlktKToGPvgTh3wm4iRZuOLwi6x46y5O5uTb2mqsDr7DrsP7sW0c8R6HQTJz2ZH/EjP/CVSrtc765ZUWPlpziOUfPs7bRU/YnAmAUosOq1WlKGE9BsmMyaUz+IbaoUbL0J7HQ0tib/8dxqEQUbsW9uzZI3QQOgBChyrasw6frDvMf/ULba/1d/0JvS6ut76sN9D3wSUcDLkbgKuKl1L03lh++fVnSk2VTdJBcfel90O/sy9Ya2vSyc/YtODhGjcii1Xlt90n+PfrbzFp3RQeVRahlyyU976GL51mAFCetoPNyTmMLV+vtdv3ylZb4QHtezy0JPb232EcCoFAIOgo7DmWT/nq1/GX8s8U+vdv+EBZpt9tb5Fx9ULyJSO9pXRu2HkXW+dey66EBArKmrAsVJIYePtb7BzwNABjTn7Ntu9eIq+kgoWxSTz32jw6/zyZNypeobd8HJOTEXXyfJxnfMupzmMAcM7Zz69xSVxxejdS3bCbG39+QZtDRJ8IBAJBO8JssbLgh595R/m5Rnll1mH0AQMa1UZA5GSsfceSvPhpeqYt5VJ1C5dmbGHb61/wh/9VGMMnE943lO7eLg3GRgyNfprlp3K5MnMBIxPf5uDcn7mUMu6Qs0HWElVZR8zCMP4pW3ZMnW8QpINLRQ6uB37AQynD5BGIIXCkPZII2gjCoXAg3NzcWtuENoHQQUPooNHedFiyPZ27ij5CJ1sx9bmO/YcPE84hju9dT1AjHQoA2cOP4Ls+x3T8EdL/eJXuGX8xQj7EiFOHsPz1NgdW9GSj0p8Cj95YvYOwuvmjN7hRKemxlBVSUVKAJe8oLkUphFiSbduV95PTAKjQeSBF3oX+ovtQPLvWOLe7dwAmVY9BquRZ+WsADKP/2aqPO6pob+OhLSFWeQgEAkE7wWyx8vycV5ljfp1KxQX9I7v4Y+EcrslZSIL3eMIe/tXuttWC45za+BXq/v/hX3K4+cY+cxyq7TpanR+2pTHhz4vpIuUBWkCp/omDYPBo/nkFzUas8mgAaz0RyI6C1WolIyND6CB0AIQOVbQ3HWIOZjKtQtuVUxp1P3h0wXvI1QD0yNuMuSTPrnatVisnS2V8r3ga/yfj4NH9VFz/KdkD7iKz8zjyXHpSqvOiUnJCRcKkuFFs6Ey+92AK+kRjnvAC3LmCfVNWU6pqOTiT135V7/kUSULizG9Z3diH24Qz0d7Gw/nC3v47zCMPMUCsJCQk4Ofnhyw7jB9ZC6GDhtBBo73psG3jGl6QEzFLenQX3QdA5EUTSVrTnRCOsXflZwya/CSgLf0rKKvkVLGJEpMFRZYw6GT8PZ3xdNbViI2opYNXd5yGTcNv2LQ67TCc/nc2A4E/t8zk6hPv47f1VdRLbkE6HTdRnZUHTjKtWkCpNPpBOxVpWdrbeDhfCIdCIBAIOjBlFRa6HF8BMpQGX4Gnuz8ATnqFtF43EZLyBh47P+W/8iQSj5+i4uQBulmO4U8+HlIpTpgpxUCx6kK20hmlUwg+QYMZ2SeAkT2NLWbn8GnPcOTt/9GbY6T88Qa9pr5S4/3sIhPZhzad8UjGPQF6lxY7v6D1EA6FQCAQtAPiUnOZwA4APIbeYCtPPVXCSkMUE3iDIDmT53degkWVUGT13A+1c6E8R098XG8+kYaS6j0a9575RAT5Nriy41x0NroRG3ofvZP+TZcDn0P5k+DsBUCF2cqT3/zNO/oPzxwwdIbd5xK0LRzGoWjOBdIRkCQJHx8foYPQARA6VNGedDhyNJ2L5eMASCGXklFQxrzlhyje+zuzlN9rOA+KpGJ264zk1xfFOxAMXqDoobIMc2keldlJKLlHcK4sZLRygNEcgILv2fJlP171nsal197GRaF+dts64qo7OfLux/SWj3Nq0zd0uvRBVFXlP7/u5o6M/9JLyTxT+fRMS1ugPY2H84m9/RerPAQCgaAd8OHnn/FA+uMUOHdjydg/+euv33lW+pKhcnKtukeVnnSevQNnJ339DaoqnDqMNflvinf+jPvJLcinAyUPWQNZFvAAN918B12N9j2O+PbdZ7k170OyXUPo9MR2Xlt+iJ6bn2OGbo2tjsngi+GZ2vYLWhexyqMBRFCmldTUVKGD0AEQOlTRnnRwKk4HYG+JEfOK5/hBfoGhcjJWnQuMfRQeO8SJW9ZTjp6elqP8/clDWKzn+L0oSeAXhjzyXtxnLuP41L8oGf4A5bIbfeV0Hst8moNvX8NvsTvtstd40a2YVD1+pUl8tnQ5nTe/xAzdGlQkVlsjAFB9gu1q+3zRnsbD+cTe/guHwkEQF4qG0EFD6KDRnnQw5Z8EYKyyn1m6P1EkFXXQNORH9kDUf8AzgK69h5I+Zg4Al+V+z68LXjy3U3Eaq9VKUnYZhitexvnJA+QPuRczChOl7YxedR3ffPUJFeamaTRuYG82WrVEW/fum8FduhUAJI9+jQyrEQBDUNvKjNmexsP5RDgUAoFA0EHJLCynq/mY7bXFyRNu+h7pxk9rxSD0nnQvh/veD8CUk++y9P2nKCqraPzJXIwYJ7+BdN8GTrn1ppNUyG0ps/n5vccpKW/8Xh+nSkzstJ7ZOdQqKXDd+/wuX0qErCXOkgJHNN4uQZtHOBQCgUDQhikxmXnk0+VMUWJtZcrMtdD36nqP6TP9VRL7ankqpuYtYOOb09l/NLPe+nWhdBlAp0c3cqz3LQDcXPgFG9+9neLyczsnZouVLzem8Op7H/K4fomtXJ7+LYTfTvyePfST01GRoeeYJtkkaNs4jEMhonYlAgIChA5CB0DoUEVb10FVVV74eTuzC/5rKzvpEwmdQs9xFCBJhN40l+MjnsOCzBXmNeg+n8g3i5dQbDLXUb0eHXQGut/yEekjX8SCxGVly9j8wd1Ummtvb62qKhuOZHP7u7/hs+J+PlderVnBM4DErGJ656wFwBJ4Ebh1apwQF4i2Ph4uFGKVRz2IVR4CgaC98uuu4xQseZjbdatsZake4QQ9vrbRbRTsX4W89B48LPlYVYlf5ImUjXqUa8aNxMv1HKtAzuLo2i8IXPcYsqSypvOdXPrPdwCotFhZfTCLH9bFM+rk99yurMRNMmFF5lT/2zmxbwND5SSY8ikvpfZn8vZbGSynwBVzYdR9jT6/4MJh732zzeehiI+PJyYmBoC4uDg+/fRTjEZjk9uxWGp71I6ExWIhMTGR0NBQFEVpbXNaDaGDhtBBoy3rUFheybLfFzP/tDOxN+xfDEp4H5+SJG3JZyN/RXoNmARB8Rxf9Bjdjv7CFDWGik1r+X3jWI73mkZY5ERGh/hwIi31nDr0nHAXB4oK6R//IpdmfsmXn4eS5ncJabvXcmXFKj6Rt+Ci0x6HmAPC0V37FnqvARzeE81QOYmyrCSO7MhksJyCVXZCHjS1ZYRqQdryeLiQ2Hu/bPMORUxMDE899RQA8+bNY+LEiezYsaPJ7XTwiZgGUVWVjIwMQkJCWtuUVkXooCF00GjLOny5IZHHKxeADJbwO3CJfISKQx/haS2gLCsJl84NPPaojpsv3e78CnPKRnL+eInOOVu5UVoPR9eTluLHr+pQEgyDcA8ZhTEghC5GF7xc9MiStoVXXkkFp4pNpJjHc5llMJcoe7gz/TlIP93+6Xtvpf9g9BOfRdfnCpAkvKwqJ/AF4MChg0y3ZoIC0qBocPNtUb1agrY8Hi4k9t4v27RDER8fz5w5c2wORXR0NLNnzyY5OZng4La1flkgEAhaihKTmcyN39FHPk6F3hOnSf8hxNnIPqU3g6yHSNr8KwNveLzJ7ep6jaHzv1aipm0h5+9P8Uz+gx5kcyurwLwKEqDokAtZqpFTeFGh6pCA7lIF4eTRWcrHoNRc6WHWuSIPnIIc8Q/03SNrzJzIsoRJdgPAPWsHV1dl+hz1T/vFEbRZ2rRDER4ezqeffmp7nZ+fD4CPj08rWSQQCATnn2V7TnCL9TeQQTf2IXDxRgKyuk+CtEPoDv0KNN2hqELqMYpOt44CUzFqynqK9iyjLCmWThXpeFCGh1RGCBl1HmtWXLDoXDGYcgBIHTab0Ksfqfdc5ZKWaTNM1pa9qgOmIAUMttt2QdulTTsUoM1KVPHTTz8RFRV1zhgKk8mEyWSyvS4sLAS0RB1msxbdLEkSiqJgsVhqTO3Isowsy/WWVx1fhaIoSJJUZznUfg5VX7lOp0NV1TrLrVZrjSQjVbbXV16f7aqqEhgYaNOhI/TJns/JarXadKg6tr33qTG2n11epUPV2OgIfapue2P7pKoqQUFBADXO29p92r1tHVPlo5glJxj2D+QqW8fehPW7D+hbvpsf/lxFpqEnKadKyMgvo6zCTIXZgotBj6eLE928nAn2c2VAgCdDAo0465XafVKckftciXufKzmVmop3Fz/UwnSk4iykshxk1YLFagXFCdW9C7h3RvHpiU7RsXLBM1x24iOM29+lcsKd6Fw86+xThdkMp2M/rZIO6yXPgNncJq+n6t8PZrO5w3zvNcb26uUdfvvy/Px8lixZ0mD8xJw5c3jppZdqlW/duhU3N23qLSAggLCwMBITE8nIOOOFBwUFERQUxP79+8nNzbWVh4WFERAQwM6dOykpKbGVDx48GB8fH7Zs2VLjQ4uMjMRgMBAbe2bdOMDYsWMxmUzExcXZynQ6HWPHjiUvL489e/bYyt3c3IiMjCQzM5OEhARbuY+PD4MHDyYtLY3U1FRbeUN9OnjwILm5uaSnp3eYPjXnc0pPT+9wfYKmf04hISHk5uZ2qD7Z8zmlpqa2mT7lF5fSPWMl6OC49wjS9xxm7Fh/Uk9ksXBLBuOs4Vym7ODmuGgWmS/hUjmNzlIePhShlyxYVYlinDmp+pCu+rNN7cXn9MbUOZyp4wbRS19IbvaZnBRVfSouLmbTtrRqfRpNQEAA8XFxlOSXQE4FkM7gwd74+PigBkdx7PgiunOKjV89x9Db59bqU6FJpYt0Rqf0wMmkHDiBTpfVJq+nbdu2YTabbd+TjvodUb2dptAqy0YXLFhAUlJSve9PmjSJqKioGmWzZs1i9uzZDcZO1DVDERgYSFZWFt7e3kDb8ACrcyG82oqKCg4cOEC/fv1QFKVD9Mmez8lisXDw4EH69euHk5NTh+hTY2w/u7xKh0GDBtnO2977VN32xn5OVquVQ4cO0a9fvxpr71uzTxsTT+H7zaX0k9MwX/8J2UHX8dnGoyzfsptoNYbHqiWLagplqhPrrUNYpowncMQN/GNMMD5uTrZZqr1799q+Hxrbp9+/fpPJaa+SJ/tgfDYBFH21WTCV6z+MZXnBDbZjzU+fAJ0BaJvXk8lksn0/KIrSYb73GmN79fK8vDz8/f3bx7LRmTNnNqn+vHnzbM5EVRxFfY89DAYDBoOhVrmiKOh0ulpldVFf+dnHt2S5JEl1llcNlsaW12e7LMvk5+fX0qE998nez6lKh6obSEfokz3l+fn5qKraofpURWP7ZDabyc3Nrbd+a/TpSHomY2VtpuCnnFA+Wfo7/1R/Yp2yHiep9nI+05SFGDr1Ajc/7WZttUB5ARQeg1OJqMe3Y06OxaX4OFcocVxBHOlbFrJgyzX4jb+POy/ug4xa5/dDQ7ZHXDOLrA8/wt+aS378/zCOmG6rP2fZQaJOfWt73EH/69E5u9Voo62NPUVRmv092db6ZE+5vUtm23ymzCVLlhAeHm5zJhYtWmRXHgqBQCBoD5hO7AUgW/Ukee1ClssPM0O3BifJgto9EiYvoOAfazGdvlMv3xiHGjAEvLppmSc9OoNfHwi5FEbORJqyAP3j+2HW36gXPUSFkxeBcjb/lr/k8nXX8fKbr7PveIFdtvbwN7LO/SoAijd/YSv/9O9kcjd+USP1Nn2vsVMRQXuhTTsUycnJTJ06lUmTJiFJEt7e3syePbu1zRIIBILzxvGUQwD4SYU8r/8Wd6kctWs43LkC6Z4YGDIdr17hnBjxbwCuOvkJS/+3+NyNShIEDEG6/L84PZmAetUblBt8CZIzeaXsVdI+v40NSbl25R9wGnYzAF3y4lBLc3lv9RF2rviS13Sf1qzo17fJbQvaF23aoQgODkZV1Rr/8vLy7GqrriklR0KWZcLCwoQOQgdA6FBFW9Nha3IOoab9ttdWnQtc8zbSPauh50U16va68mFSO1+Gk2Rh0u6H+XnZisadRO+CNOJenB/bg2nEv7Aic528kduPzuaTxX82arvz6gwbFsFBaw90WPjh2wVkrPmYD/Tvo0gqe2XNibAoBvDv16R2W4O2Nh5aC3v77zCqiQEiExAQIHQQOgBChyrakg6HThbyysL/8Y9q+3bIs/6G4XdBXfZJEkF3f8VxjyF4SqWM33oPn/+4uPEOgcEdw1WvIN2zikLnbvSUs7grYSaffPYRZkvjlw328HFlnXUoADNOzGGO/nNkSaWg/y0sMo3SKgUMA6Xx+4a0Fm1pPLQmwqFogLMjXR0Ns9lMXFyc0EHoAAgdqmgrOuSWVPDMlyv4VHrFVnbcZ6QWC3EunFzp+s9fyfboh69UxM0HH+Dd914no6Cs0eeWug/H9f51pLkPxU0yce/x5/l64cdYG+GYqKrKD9vSOaGelWzw4if53u8xxsu7AVDCLmu0Pa1JWxkPrY29/XcYh0KA3WuLOxpCBw2hg0Zr66CqKi8sjef5srl0kc480q1jl/E6kVy98XtwFVn+Y3CVTDyW/39sePtWvlm/r/EzDa4+pIQ/T0b3K3CSLNyW9jxLFn9zzkO2JucQ/dEGjvw2j//qF555Y/J81AnPsWzHYcbI+7SyPlc2zo42QGuPh/aMcCgEAoGgFflr/0n6JXxIuJyIxcmTTQO1xHyupcca34jBA/9Zv5If/iBWJKYRw2Vrrub1eS+xaFsKJnPDu0eqsg6/278iveuV6CULVxyYzeatm2rUsVpVVh/M5LZPN7Pws3eZlzmTF/VnOR6dB7LjaB6D81bhLFVi8e3TLuInBM2n3WTKFAgEgo5GpcXKj3+u5FPlTwCUGz7EnRDY9yK+5pNYTSXIBrcGWjmNosd43f9h6T+JoqUP0rk0nWdM75D8x4+8vvx6GHQjl4f3ZmigEb1Sz29JWUfgXV+R9nYUPUr2ELD8Lk4Ex5JRqrBiXwYb9iRyUfFK/qPEEOKkZXG0OvuQNOgRSrcuZIicDHkpzN9WxiPKas2s4Xc2eqt1QfumVTJlXkgKCwvx8vIiPz8fLy+v1jan1ahaIePt7V0jI6CjIXTQEDpotLYOi7an4/vrbUxUdmLufSW6W36k0mwh57+96SLlkHzl9wSPvLrpDVeWY4p9H3Xjezibtf2MylQnVlkj2CwNo7TbaHy7hhDs54afhwEPgw5TWQlOLq6UVljJzEhn4t9TCZByibP24TfLaCbJO7hIPoD+dHItq94defQDcNGD7MtRyfzkeiYqOzlxyes8veoUXzvNxao4Iz9+EFzbx4aOrT0e2goFBQUYjcb2kSmzNXDkwQFa/8UurUKHKoQOGq2pg6qqxG5YzXvKTqzI6K74PwD0OoWjHkPpUryazF3L7HMo9M4YJjwJo/+JZfuXmLZ8jmtRCtcpm7mOzZDxEbkn3ElUu3Fc7cRJ1ZVSnNFhwZkK/KQCAhRtv4hI+TCR8mFb01a//sgj7kYePB0MHgDolEKK0HYVXbv7CI/q1gAgR97VbpwJENdFFfbeLxvlUBQWFtbYjKSx+Pj4NMm7OZ+IqF0zW7ZsYdSoUfWmXHUEhA4aQgeN1tQhIbOIMTn/Ax1U9rsBg2+I7T3DoOtg82p6nljGu6sSOFlUwaliE8XlZhRZwkkn09nTQFcvF/oGeDI00IifR+0tBzC4o4z5F66jH4QT8agHfqfsyDqcs3bjIxUzQkoAEmofVwfqhH8jDbgBuVPvOt83qdreOINzVzJITsWqc0Ye80hTZWlVxHWhYe/9slGKzZkzh8jIyCZnUdu+fTtz5syxyzBBy+PoTlUVQgcNoYNGa+mwdu9RblG2AmAYeQ8Ap4pNLI0/xsrDPfhW1dNVyiXi7ztJUQPoKuXgigknqZIy1YkC3MhQfVmlducdaxAWv/5cNrAb1w7pSu/OHjVPJknQLQKpWwSuk4CKUshJhFOHoegk1tI8jqcm0C0wCNnJFVx9wdiTQlyQv5+Ou1TGviJXBtXjTJRWWHCSKgEYJKcCII9+SEsD3s4Q14X9NMqhCA4OZsqUKU1u3J5ZDYFAIHAE8g6sw1Mqo8S5M6fcB/PB4t2s3J3MBOs2HlI24KxoN+ixyn7Gsr+B1iCvwJ3YDQN5bd0YTEETueviUCaE+dc9fe3kCgGDtX+A1WwmKTaWgLFjkav9MvcE1va8mwlpH+Cz6yO46p91JtnKLjLhTIXttdU7GHnc401URNDeaZRDce+997JmzRqSk5MBmDZtmu1RxurVq0lOTiY+Pp7Q0FAef/zxGscJBAKBoCZWq0rn3G0gwQ5lKI+9vYJbpWVsUFbgqSutVT/bNRS/if8CJ3fQOUNlKZTlQV4qZB1APbYD74oirlW2cK2yhazjn/PlN1ewsNs0Hr82giGBRrtt7XvNIxR++AXdzMc4uf0Xuoyo/ePyhV/3sVWJs72Wr3sX9M52n1PQPmn0Kg9fX19Wr17N0KFD63w/Pz+fkJAQcnJyWtK+ZiNWeWioqkppaSmurq4OHaAqdNAQOmi0lg7H88tIfXMiY5T9xFn70Fs6jlE6nVDJuxcMuRkGTiF51XyCEz7lhOpL9u1/MySke90NWsxwfAcc+BXL7h9RyrTv4XzVjbfN0biMnskjl/XDWV/3ttQN6bD8rXu4snAxid4XE/rw7zXe+233CT758X8sMzyrFYRcCrf9zz5hWhlxXWjYu8qj0Ymt7r33XpszkZqaWuMfgNFoFDMSbRyDoY6gLQdE6KAhdNBoDR2+33qUiNMrJyLlwxilElS/fjB1IfwrHsbPhk69Cb7xZU7ptfiJY989QFZ9KbUVHfQYCVe8ivJEAkyej9k7FKNUwkv6r7hq6608/N73pOfWnv2o4lw66MJvBaBn3iYoPfMoe8W+DN78aRWLnF4+U/mGTxovRBtEXBf202iHwtfX1/Z3Xl4eU6dOZcmSJTXqhISEnH1Ym8FiaThTXEfGYrEQGxsrdBA6AEKHKlpDh593HGP1urU4nw5iBOCyV5Dui4UBk2vGKDi54jr1EyzIXG1dx88LXqKgrLJ2o9VR9DDkJnT/2gZXv0ml3oPBcgrvFD7GF++/zLaU2rFtDekQETmaQ9ZA9JjJ2/UbAL/uOs6c71fyte4V3KVyrR29e7sMxKxCXBca9va/0Q6F0Wi0/T1s2DCmTZvGE088QVBQkK3ckaeIBAKBoCH+2n+Sb35eyq9O/z5TeM8aGP0vbZahDlz7jKdgtPY4YWbxJ8z/cB75pRV11q2BrEDkPegfjsfUczwuUgUvqh+z+8uH2JSY3SS7fdyc2OOmbZ9efHANb606zHs//ckP+v/QU846c8rgi5vUrqBj0WiHIjk5maKiIgoLCyksLESSpBqvCwsLSUpKOp+2CgQCQbvlSGYR7/y4jIX61zBI1ZYmdhnU4LE+k54gr98tKJLKY0Vv8NE7/+VwZlHjTuzuj+Ef/6Ny3NMA3Cv/TubXd7EtqWlORUlXzaGQ02I5sPZHfnF6ga5SLtnOQSRZAwCQgsc3qU1Bx6LRDsXcuXMxGo14e3vj7e3NU089VeO10Whk3rx559NWgUAgaJeYzBae+HYDH0mvYZRKKOtUzYmoKG64AUnCe+oHFIRNRSdZebbiPdZ99CDfbUpq1DbjyDL6ic9Qec0HWJCZLP9NyjcPkJ7TuJ01rVaVmMKeAHSTcvjM6U08pDLUHqO5z/oUgdLpWYrQqEa1J+iYNNqhmDlzJomJieTm5pKbm0teXp7t79zcXBITE9t0UKai1B3d7CgoisLYsWOFDkIHQOhQxYXSYf76ZG7P/5BeciYWz0CsMxZRqGqpqotOHW9cI7KM1/QFlI16BICZ0i/0WzGNRz7+md3p+Y1qQj/8Niw3LMCKxHT+ImbBbMoqLPXqoKoqsUdOMfnjTajHt9dsbMQsNo/9gpCSnThJFqy+vcG37cbRNQZxXWjY2/9GOxSzZs2iV69eeHl51fkvODiYWbNm2WWE4MJgMpla24Q2gdBBQ+igcb51OFlQzr51i7hRiUVFRon+HDefrhxXtCWgaYd3Nb4xWcblipewTv6UCp074XIir2fNYvP8B3lo4To2JZ5qMKOx09CpFE94FYB/lH/LksXfAjV1KKuw8MvO49zw4UbmfPEjj5x8hu+dXj3TSL9r4ap5fL7pGDcpazXTht3a+H60YcR1YT+NdiiGDRt2zvd37tzJjh07mm3Q+UJE7VqIi4sTOggdAKFDFRdCh8/+PsxTknbT5qIHtOWdQJGH9mu+MCW+yW3KQ6bh9OBmyntcjEEyc5/ud15JuYl9Cx/iltd/4rXlh9iemovJXHe/PC+5nxPBU5EllSsP/5vt+xOIid3G0h3pPPbTLsb+3zL+WjyfZ7Ke4E/Dc0xQdqPKZ4JGrV0jOJxZRGbCFsLlRFRJ0XJntHPEdaFhb/+btPtJYWEhMTExhIeH11jdAZrDsXr1aruMEAgEgo5IiclMYdxPhMonqDR4o7/kSdt7ul5jYNcKvDI2oqoqkiShqioWq4pOacRvPWMPnO/8DY6sxLT833jmHWam7k9mlv7Jrs0hrIwdzutSPyr8hxLoZ6SLlzM+bk7oZG01Xqn/Q1yWuIW+cjrrf3qc982TGSH/ySXyfl6W43F30paCqrIOacAUykY/wTcfvsQs3Z9Yi7OZt+IQD+m0BFbSwBvb9XJRQcvQaIciJSWFiIgI8vPzkSSJpKQkfHx8eOqpp2zpt6Ojo8+nrQKBQNCuWHngJDNYDoBu9APgrGXrLSqvJLvzGADCLIcZ8cz3FOl9KK+0AuCsl/F2dSLQ25WwLh4M6u7Fxb396OJ1VjprSYI+l2MInQSJMZg3fYiS+jdD5SSGytqqu4ochfRT/qSr/uTgSZnqRCU6AijDS9GCMm9UYrlRia3RtOrVHWnQNKTIe8CrG1KFhQr0AJzIKeTkoS1cZtiBioR08ZMIBI12KObOncvixYuZOHEi8fHxfPLJJ6xevZqIiAhuvPFGQkJC2nRQpgCH3o63OkIHDaGDxvnUYdeOLUyWkzBLeuTwf7DuUBaLd6QTczALL3MOlzuDIqnEOd/PTmsoRqciJKASHQVlbqSX+pGa3oU/toXyX2tvAgO6cGNEdyYP64aPm9OZE8ky9LkMXZ/LoCgTDv6GmrIea+pmnMpOESJlEEJGg/Zau49C7jUW+lyO1D1Sc1hOU2wyI6HFZ8Sl5vCK/ksApMHTwK9Pi+rWmojrwn4avZfH66+/zpNPPlnjdVRUVIOxFa1N1V4eTc1JLhAIBM3BalX58OX7+Bc/kmgcw4M8zcmTJ5iqrOdaZTOD5ZQmtWdRJTZb+/OndRQrpDFcP6Iv948Pwd/zHJtwqSoUpENuiraRWFkemMvBUgEGDzB4UG4B5xXapo57JnzJ4Evq3lk6ObuYVe/OZJbuT4pVZ9ylclQnd6QHt4NnQJP6Imjb2HvfbLQrdnYWzPDw8FrOxK5du+rdPKy1aaTf1GFRVZW8vDy8vb0dOqOp0EFD6KBxPnVIPlXCCOsukOH37C7cKr1DtOHvmim3O4XBqQQAdjtHMviml5BkHVhMUJoDeUch6yCkb0HJS9W2Mlf286z6PT9tG0903LVMv3QkMy8ORl9X3IUkgbGH9o9L6rTTGdgSv41RWT8hb/kA6nEojueX0UkqALCl2pYmPNehnAlxXWjYe79s9CqPnJycGpkxCwoKamTJrArYbKuIqF0Le/bsEToIHQChQxXnU4fP1h9hsJQMwKP6n7lVt1pzJroMhmvegccPw4PbODX2JQC6lB1hWZaPtgqk18Xavh5jH4Ep8+Hh3fDQLoj6D2qnMDykMu7RLWeF/CgVMa8S/V4MRxqbObMOfCfcD0D/0niKTtad8XjZ3gwCpWrZNYPGwciOlSpAXBca530vj7MzZUZHR9fIkunt7U1cXJxdRggEAkFH4rMNySTFr8FFqrbnRvdIuONPmPU3DL/Ttiqi0yX3kefcg85SPhV/Pk3qqXqyV/r0grGPIt2/BW75GbX7CFwlE4/qf+atvId49oOv+HVXI5NknUVQ6ADiGIgsqaSv+6LW+4lZxfy07Sgj5IQzhVM+1fYLEQhO06RMmdUzY1bPlJmXl0dOTg69evU6n7YKBAJBm+f91Uf4ddmfLDZU29L7ug/g7lUQNLZGoCMAemc8pn+CFYnJ0jq+//R1corPkVxJlqF3FNLdKyH6SyzuXQiRM/hBfp6di19jwfrEJtssSRIJXmMBcD9ac6b5cGYRt3y6mTf01bYlv/nHDvWoQ9AyNClTZn1ZMr28vDAajUyfPv182ipoJm5ubq1tQptA6KAhdNBoSR0WxaWzJuZPfnB6xVZWpPOB8NtqOxLV0PUaQ+mIhwB4vPwDXvv0m4Z3FJUkGDgF5f7NWAdMQSdZ+Y/+a1xWzebtlQeabLvaU1vG2qPsEBRre3PEpeYy9eNYHir7mCnVl5WGXdnk9tsL4rqwn0at8lizZg2XXnppkxu397iWRKzyEAgEF4Ld6fnM/ngRi/Qv4imV2sqTXQYRPDv2HEeexmqh5KtpuB2NoVB15Wn3//LcvbfQzejS8LGqCpveR131AhIqv1hGU3zlB9w6uvF7axSWV3L81XD6yWkUX7+Qn0qG8vayXbymfMI1ypYzFYfcDJM/qb8hQbvH3vtmo2YoVq5cSWpqapP+paSksGrVKrs71NJYrdbWNqFVsVqtZGRkCB2EDoDQoYqW0qGswsK/f9zIR7o38ZRKUQNHsWnoXO1NSwMzDVXICm4zvqK0ywg8pVJeK36eV9/7gLWHsho+VpJgzENI077CIincoGxCv/wx1h7MbNSprVYrJXmnOKLrDcCPv/3Ol3+u40fdf7hG2YKZarESvepeLdIRENeFhr39b9Sy0enTp9u1T8e0adOafMz5QgwQKwkJCfj5+SHLjX7S1eEQOmgIHTRaSoeP1ydxR+FHBCsnsXp0Q77pO9z37gLArTKn8Q0Z3HG9cymmr6PxPL6F9yz/x7xvkoiJuI8nLu+Pd/VkVnXR/3rk6C+wLL6L6co63ln0Mv0eebN2hs2zsFqt7D1wiG2mHlynh3vUn7nJ6U/cpXKsLr68UDSZV3WfaWm4e1/W+P60M8R1oXFeHYphw4a1+QRWAoFA0BpkFZaz/+//8ZgSi4qEPG0huHWie89QAHyseRSXluLu6tq4Bg0eGO78DfNvj6Db8z3P6H8gbtcO7th7P1eNv5hbRvXE3VD/V7c04Aasxdkoy5/gX9bvmPdNf55+4P568yqUVphZsj2ddzaUcRNnHtW4S+XQYzRfd36GgM2fa22HRoGbb+P6IXA4HNcFEwgEghbgq03JPCF9o70YcS8EjgDAp0tPCvBAL1nYH7+paY3qDOgmfwTXvotF50akfJifrY/htupJJs9ZxEu/72fvsYJ6ExDpR9xDYf8ZKJLKndmvs3x7Qo33LVaVuNRc/vPbfka+uppFv//By5Z3eUr/05lKk/5Lyc2/MH9HETcpa7SywSLwXlA/DpO03JGznoHWfx8fH6GD0AEQOlTRXB1MZguZW5fQT06nUueOfsKztvfySis5rPRmpCWeFct/YdEJPyotVnSKhIdBRzdvF3r4uDIk0EiAVx2Bl5IEEXeghFyK9c8n0B35i1t1q7lJXcuKbZG8vnk8qe7hRIYGEBnkTe/O7gR3csfoqkeSJDwnv0VeSixdytIo/HU2az0/JTm7hJ1peWxJzqGyOJerla18rsQywpBQ+/yj/8XX65MZb1qNn74Q1SsQqd+1dunUXhDXhYa9/W/0Xh7tFbHKQyAQnC/WHsrC8N31jFYOYB37OMeGPcEvu44TczCTPccKmKn8zrP6HyhSXXik8n4UtGfTRbiSqXpzXO2ECSe6GV2Y0NePawZ3JTLIB0Wu4ws9dSPq2v9DOrrRVlSourLeOpid1t7stgZzVO1CnuSBu7MBnSzR27SX75WXkSWVhyoepAIdg+RkRssHGCQnozttjyrrkAbeyMLyi7nj8AMAZD2czpXvrOcX9VEC5Wy44jUY9c/zL6qg1bH3vukwDkVeXh5Go7G1zWk1rFYraWlp9OjRw+GDjYQOQocqmqvDvB//4qlD07AiMbv7tyxJkghQT3Glso3R8n4mKjvPebwFmcPW7uy0hrLGOowN1kEE+Bq5a2wvpkYE4uJURybKk3th+xeoB/9AKqm9AsSk6ijAnUoUVCS6S6fqN6DzIBg8DeuAKaTlm1kYd5L/7L8cgMd6r6DLgS95Sv8TqkdXpH9tB6eOnaNBXBca+fn5eHt7n7/NwQoLC9v1L3yxysNKamoq3bt3d+gLReigIXTQaK4O1kMrAIizhpGfvIMf9csYKR+qv373EVrgWlkeFGWgVBTTT06jn5zGDNZQioFfCkbzzW+X8eHaPsy+oi83DO2GXH3GossguOZtpKvegGNxkLoBju2AjN2oRRkYJDP+5Ndv9NBboedoCL4EvLprdpnNpO6KpbSoTHuNzNa9Cfxl+BUAadJLHd6ZAHFdVHFeV3kAzJkzhzlz5th1EoFAIOhoLNlxjAjLblBgpHyIkU5VjoQEPcdA36sgcCSm7CQMv84kX3Xjt9A3uX38YK2aqkLhCTixE1LWw6FluBYeY4ZuLTN0a1lVFs68xTfx47bBvDltCIE+Z60SkRXoMUr7V3VmSyUUZUB5AVjNYLWCsxdJ3z1ESN5GNrpFMeaGD+vtU0lhnva/auBNp0+0lR6BI2HQ1JaUTtBBabQLNn/+fJYuXXo+bREIBII2j6qqvL3qMC8t3swkpVp+HoMXjH0UHjsAd/4JFz0A3YdjGBJNgVsQRqkE85q5HM05vfmXJIFXN+h3DVz1Ojy6D+5YBgMmo0oKk5R4VjjN5rJj7zL53RiW781o2DhFr21V3mUQdB0G3SOgUyjOUc8BMLx4HbnZdbejqipFWUcB8JDKGCUfRNW7wQ0fnzNtuEBQRZN2Gx02bBivv/46u3btqrNOYWFhS9nV4oioXYmAgAChg9ABEDpU0VQdVFXl+V/3sWLNatYbHjnzxpCb4ZHdEPUf8Oxa8yBZweO6eQDcJi3n7e/+h8lcx/bQkgRBY2DqQm1H0X7Xokgq9+iWs0h9kve/X8qHaxPrXSp6LroNGEOyEoRBMpO66ec6Ti1hdu1ED6lmZk3pijng2/j03e0dcV1o2Nv/RjsU9957L7169eLJJ58kJyeHN954o5YDsWjRIruMuBAoimNvs6soCmFhYUIHoQMgdKiiqTq8tvwQCVtXstjpZXyk4jNvTP4EXLzrPU4Ou5zSXpejlyw8cOpVXvo57tyOgV8fmP4tzFiM6hFAsHySn53+w8FVC5m7IsEup+JYlygAnI/8Weu9Cgvc+780opW/zxRG3AHhtzf5PO0ZcV1o2Nt/u6JOJk6cyI033khERASRkZFcfvnlREZGMnv2bLuMuBBYLHX8InAgLBYLCQkJQgehAyB0qKIpOvxv5zG2bFjJQqe52n4dp78+TypdGnUu1+iPMLn401s+zuh9L/DKH/sbdgz6XIZ0/2YImYiLVMEHTu9THPsJb8ccadQ5q+My8BoAgop3gsVsK88pNnHb51sZIKUwVE46c8BVbzjcow5xXWjY23+7HIpnnnmG0NBQevXqxbRp04iOjmbatGlERETYZcSFoIOvjm0QVVXJyMgQOggdAKFDFY3VIeVUCR8sXc2XTvNwk0wQPIE94z8DwKw28tecWycM0xdikXRco2wlcOtL/Pt/e6m0NBBR7+INtyyGkfcB8Ir+SwrWfcD/dh5r3HlP071vJIWqC66UUZGxD4ADJwq57oON6NNj+dPw3JnKD+7Q4jEcDHFdaNjb/0av8njmmWeIjIzknnvuwdfXl5UrVzJx4sQadYKDg+0yQiAQCNoqqqry/M/xvCm9g49UjBowFGn6t3gm7AJAZy1vfGNBY1CmzIef7+YO3Up+jK/gjuynePeW4XRyN9R/nKxoiaX0LhD7Ni/qvuZfS33p7f8IA7t5NerUXYxubJZ6M5o9nErYzB/JHrzxVwJTWM1/9V+e6a9HV6ROoY3vk0BwmiYFZU6dOpVnnnmGI0eO1HImAG688cYWNU4gEAham7/2nyQi7UuGyslYDV5I078BgzudOvkD4KUWkV/SBKdiUDRc9z4qMjfp1jHz2NNMe+sP/tzTwC9jSYKJL2KNvBdZUnld/pAPfqgnwLPOwyUynYIA+G1tLB8s28Gb8ru8pv8MvXSmDWnojMb3RSCoRqMdiqioKHJzc3nyySfPpz3nDUdOUgJa/4OCgoQOQgdA6FBFQzqoqsoPKzfyT91vWv1r3tKWZQIenXthRsFFquDQ4Tr2wjgX4bcjTf8aq2LgEmUP31me4Kcfv2TGp1vZlZ5f/3GShHzFa1QGjcdVMvFY4Tw+jtnfqFMeOFHIrhItcPQ+3R+sMjzFtcoWVFnHl9arqKx6dNP/uqb1pQMhrgsNe/vf6EceU6dOxcurcVNrbRExQLQLxdEROmgIHTQa0mFLci5X536Ns66Syh5j0Q/UZmFP5JexMy2fMGtnQuUTzF/8O5/vrcRJkfFy1ePvYaBvFw/6B3gR6ONS9zK8ftciz1yLuugfBOQc4WunufyZvpaHP7qJgF79+cdFQVzazx+D7qwYDUWHfuoXmN4bQR/TcWI3vsaxkZ/R3bv29uilFWZWHchk8fZjxCZm85LuhO29zlIe+ATzVZfnyN69Er3egtotAilgiF1adgTEdaFh7/3SYfbyyM3Nxdu7/mVdHR2LxcL+/fsZMGCAQy+JEjpoCB00GtLh5e9jeDphGk6SheQbfuW7Y/7EHMzkaE4pAHN1C5iuW8cqSzhvmKdRiY581Z183LGengDu7u3C+DA/rh/ajeE9vWs7F6ZiWPt/qFs/QVKtWFSJX61j+Np8GYlOYYwP82dc704MCTTS29/jzMZhh1fC91OxqBJvhS7kydtuoLTCTGJWMdtT89iUdIpNSTmoFSVcKW/jFt1qIuRqq0MmPMfJgTO54t2/WS49TICUi/W6D5HDbz0vWrcHxHWhkZeXh4+Pz/nby6O908H9pgZRVZXc3Fyhg9ABEDpUcS4dLFYV4+HFOEkWtlnDmPZjCV7s5RJ5N//UH2SUUzJBllQAJinxTFLibceaJT3pcnd2VXYntmAAf20ZzLdb0gj1d+fusb2IjuiOXjn9K9DgDlfM0WIXVr+McmQlU5RYpiix/D975x0eRdX24Xu2plcghEAIBAi9995BihQpgqAi0sQugiiIiGJBQUGQonRQepFO6IHQIaRAIIEUQhrpdbNlvj9OSAjdvH4KZO7rypVk9szMOb+d2Xn2nKdctXiwL6QxmwLrMkWuiqTW4eaox93BGmudE69JzejIKZpcnY3XJ1okSYypHEm0UIXwvfoiHawCsCWn6NhUOtTtJvL9uou8ZN6LuzaZXH0pNDX7Fi/07zlBuS8E/+9RHgoKCgoliR2XbtHFchxUECu7slD3E51V59GQn8PhQb6QekcwpKGRjVQy36CS6gb9dMcAOCnXYu3t9kzb3JQFh8P49IUadK9dtnDGomwdER4acx5OLUQO2UY1UwzVVDG8rdmGUVYTLpcjLMODxHRHkmV7EiRr0EB7dQAHpI+Il52pqY7GiYyi/XL2ggbD+PlcHu+lfU+2bQUuhd3G90IoB/XCPyTC62WqaKz+f8RUKBEoBoWCgoLCXciyzLoz0fy0+TAnraIB6KM+UdigTC3w7iAKgJX2IWPXNOzD/2K9uR21XltFLTdbSL8JCZfh5lkIPwC3LtBcCqa5Lpg41jEv7UXeXZNBh5oefNWvNmXs73qQezSE/ouResyCK7vE/uEH0WYnUV2KpjrRD+y3tyoWb/LrdKg04FYbqnaFql3AozGoVMT5/wCARWPFhA0BfKpZSykpHdm1KvFuHVGCRRX+F0qMD0VKSgpOTk7/dXf+MywWC/Hx8bi5uZVoB1VFB4Gig+BeHcwWmSlbg9hx+gqn9OOxkQyiocYKGr4mUlGXrV30INGn4fcuGGU1H5T+jXnj+93vJ5EaBRfXwrnlohoocM3iwSfGN4myq8uCVxrSxMvl4R2VZUi7CfHBkBwOWbchOwksZuTEUKSYMwBE1JuAV9OeUKYmaIvONpjMFj77YjLfqRdyTlOfH7N7sFY3U+jw+i7i9ZWV60G5LwBITU3F2dlZ8aF4GCX54gAxfnd39/+6G/85ig4CRQfB3ToYzRbe//MiYUGn+Es3p9CYAHjvEti7PfggFZqSW7EDVpGH6Bq/mNWnGjG8ecWibZw8of0n0Op9OL8CjnxP1ewYNumnszCnF8MW5/DtwAb0a1D+weeQJHCqIH7ufQmI+L41XtmBhCTm4eXR8IGHiErOpqwlEdSQZoCftfllzJu8icqrFcrVoNwXdyju87LEPGVNJtPjGz3HmEwmzpw5o+ig6AAoOtzhjg5Go5HPtgRyO+ggm3Rf4KUqrLoZUmfSw42JfKy6TcOCihfV/hzbuZqQWw+pvKy1gmZj4O0z0EBEU4zV7GCl5itmrDvGqpORxRqHwacPAF5xex7aJjAmjYr54+qovkhpKU0si3SZoVwP+Sg6CIo7/qfeoPD19cXX15eNGzcyadIkzp8///idFB5IVlbWf92FpwJFB4GigyArK4vfj0cQfX4vK3TfYiflglcbItRilsFk+wTFv8o1QGo+DoAZqsVMXL6X2LSch7e3cYE+82HQSmSdPc1UV9igm86CrUfYHnDr4fs9BLdmgwCobr5GWnLiA9u89+dFGkh3hY3qHWDQStCJ/BXK9SBQdCg+T71BMXDgQFxcXBgwYADe3t4MHDjwv+6SgoLCc0REmpmt+w+zSDsHK8kI1brDKxsxqsSDNkd+spVhqeNnmF19cJNSmZb7PSN/O058+mNSctfsgzTqILJDebxVsWzQT+f79Yc4fSP5b43BqWxFoqVyqCSZ6IsHirxmsch8s/syjmRS6a6ZFwavAlfvv3UeBYVH8dQbFBs2bKBhw8I1wZLsWKmgoPDPYrbIrA7MYL76R1GSvEJzGLgCtFZoVKIKaFbeY6qB3kFni3rIWiw6e5qorvJ+6kwGLTjK9cTMR+9XuhrSyL3ILt6Ul26zRP0tk9f6kZKV97fGEmEnMlzKN88UbEvJymPM6nMsP3KFAKvRhY0Hr4bK7f/W8RUUHsdTb1B07ty54O8NGzYwZsyYYh2nJGc9AzH+unXrKjooOgCKDnfYFhDLsNw1eKtisdi6Ib28piA6wqJ3AiA9OeHJD1iqCqqX1yCr9XRVn+OzrG8Z9MtBdgXGPno/x/JIwzcj27pRQxXFp7mzmbQx4G8lGMpyrAaANiUMgONht+kx9xiBISGsyY/mEOeqADV6F9lXuR4Eig6C4o7/mYjyOH/+POvWraNLly6MHj36kW0NBgMGQ6F3dnq6cI4ym80FjiaSJKFWqzGbzUVuWJVKJULHHrL9XkcVtVqNJEkP3H7nnE+yXaPRIMvyA7dbLBYslsJvSHf6/rDtD+u7xWLBwcGh4BzPw5iK+z7d0eF5GtPj+v6g7Q4ODkiS9FyN6U7fn2RMZovMLt/9LFXvB0B+8RdMeicwmZAkCcmuNKTDrZuR3EhIx0qrprS9FRrNw8dqMpnAsxXSwJWoNgynK+coa/mc0Ws+ZG+92kx+wYdSdvoH992+POpX1mH5vRuduMCJq8vZE+RBlxplnmhMeU7ecBPsMq7zzh8X+CvgFu1VF5ljtRBnCp1EzX0WIN+l8Z2+Ozo6Fjn+0/I+wb937ZnN5iKfk8/DmIrzPt372pPyTBgUDRs2pHLlykyaNImNGzcyYMCAh7b95ptvmD59+n3b/f39sbW1BcDd3R0fHx/CwsKIjS385uDl5YWXlxfBwcEkJxeuYfr4+ODu7s6FCxeKOOzUrVsXFxcXTp48WeRNa9KkCXq9Hj8/vyJ9aN26NQaDgTNnCqckNRoNrVu3JiUlhUuXLhVst7W1pUmTJsTHxxMaWljJ0MXFhbp16xIVFUVERETB9seNKTAwkJs3b2JnZ/fcjKm471NmZiZ2dnbP1Zju8HfGlJWVRbdu3UhPT39uxvR33qfz8SZGZC9HpZZJ8+zKhstqAo8e5EaahZtZMDTPmglaKJd3nQ6zRbZLrUqigosN5W1lPG1M1Cmlxs1W9YAxWeFYZzr1rnxP3dwb7NVPYkrgG3QMbkH3Sjom9m1GKUfbB47J3OEL9L6TmaT5g6Gb6qPvUJ2O7do8dkwX40y8CNgYkzkecIU52tX0Uxc9vuxUkbC80sTedV4vLy/Kly+Pr68vVlaFuSuelvcJ/r1rz9/fn7S0tILPyedhTMV5n4rrmPqfJLZavHgx4eHhD329S5cuRZY67uDr60uXLl0emaTqQTMUFSpUID4+HhcXkTjmabAA7+bfsGoNBgMnTpygRYsWaDSa52JMxXmfTCYT/v7+tGjRAr1e/1yM6Un6fu/2Ozq0adOmoD/P+pju7vuTvE9fL9vEtJjRmGQVA7TzuJgpigfakU1VKYbhmv30z38gTzO+RjZ6YmVXbljKcgtX5PwV41rlHHipoQeDm3iiv7cwaFoU0qaRcEtEpx0112GGaThxei/6NfDgpQblqOluX5AIS61WgyxjWj0Q7XVfjplrE9Z1JSPaeD9wTCZZ4tjVBNadvUnA5VDOWI0HIFuyxkbOQUZivboHdYxB1FRFQocpmFt/eN/7YbFYOHbsWMHnw9P0PsG/d+3l5uYWfD5oNJrnYkzFeZ+Sk5Nxc3N7NhJbPW7Z4g6+vr4MHDiQlJQUACpXrgzA9evXizhq3o1ery94UNyNRqMpuFHu8LB1oodtv3f/f3K7JEkP3H7nYnnS7Y8a051z3H2eZ31MxenjnX7d+RB/HsZUnO13xv88jekOjxtTXFouVSP/BA3stTTGOvsW0/W76KoPwj3v/lwQ07Urivyfq3EgUFObvzJ92HmrKV/eSucn32u83qoSY9pWxlaff27XyjByHxz9AfnYj7QlkL3qSewxN+G3kz1Y6V+VCi42tKlammaVXKhe1oHKpW3R9voB8y9NaUMQO45twNRyImqVRIbBwuW4dIJi0jh9I5njYUnkGM1UkOJ5T7OjoH82cg6UrcsWjwns8A9hsG4nssYKqeGrD3w/LBbLAz8f/q7uf3f703jt/a+fk0/jmP7u9oe99jie6iUPFxeXIjMV58+fx8nJ6aHGhIKCgsLj2Bscx1urThOkF7MPPdWn6ak+LV68E1hh5wauVSDyeMF+eZU6osuIgeTrWJnSaWI6QRPNCb7QrsRf1ZCfs7sz94CJdWeimNKzJr3rlRM7qrXQYTJSvcGw/3NUl/+ih/o0PdSnuSGXZXt6Cw6frs+GU5UwokGtknC20fK+qhfDLJsZmruOKp/VRq9RYzCJb7JqzFSXonlVFUhv67PUlu/KLwHQdyExFV/k85+OsUKzCQCp8RuPTdCloPC/8NTX8ti4cWPBetH+/fv57rvvCmYqnoQ7tTxSU1NxdHT8/+rmU48sy2RnZ2NjY3N/nYEShKKDoCTqYDJbmLEjhBX+EfygXcQA9dGC12S9A1LNF0UxrYqtwdZVbD+5EGnPJEIt5dncfAOTe9QEswliA+DGEbj8V8FyBkCAqgZTc4ZySfamXwMPpvephYOVtmhH4kPA/xcI2gSmwjwVBvSEyF6EW9yIspRBLZl5T7MFgP3mRlyyVMJTSqCaNhEfbmAl353jQuKWjQ/lsq+Ifk9N4tXl5ygdvpnZuoXIGmuk9y6C/YOTdJXE6+FBKDoI0tLScHJy+ttLHk+9QfG/ohgUgjvreneWPkoqig6CkqZDTp6ZMavPce3qFX7QLaSVKrjgNXPPn1DVG4Sks33AjqmYfqyBxpTN6+bP+GbCO7g7WhdtkxgKpxbChdVgzkNG4g9zR742DqVs6VIsH9GUCi429x/bkAGhe+DyNog4Djl/L5kVegeo0BR8ekD1nkxdd4IZN0eQp7FjZbtjzNt5hoP6CbhK6dBpGrT58KGHKmnXw8NQdBAU16B46vNQ/FMUNwzmecFsNuPn56fooOgAlCwdco1mRq86S861Y+zQf1bEmAj0eY9jWZUwq+73uwLA2gl1g1cAeFdax2ebA+/PDVHaB3rNgfcCoO7LSMgMVR9gt/UUrG4H02/BcYJi0u4/tt4e6g4USaYmXofxp2HAMug4VVQ1rdUP7ApnFGI9ukKHKfDS7zDuBEyKgGGboMlIsC9LTpIoa56uLcU3uy/znXaJMCZKV4cWbz9So5J0PTwKRQdBccdfYgwKBQWFkocsy3yy6RLa8H2s0c0UD1i3OmRJYsbAXLr6Y48htZ2ARWNDQ1UYdte28eeZ6Ac3dCgH/RfBazvAwQNPOZbN+i+on+3P8N9PcTU+4xEnkYRhUrs/tJ0AL86DgcvhoyvEW4kl3uPqptDuY6gzANxqgarQOS8tx4g2XTiTBmc68Iq0l+7qM8gqLfT9FTS6JxNMQeF/QDEoFBQUnltWnYwk6dIeFmrnoJNMUL0XjNyLATEjkWf9BE6K9mVRtfkAgC+0y/llmx/no1Ie3r5SGxjrB1U6oyePRbo5dDbsZ9hvp0h4XG2Pe5EksioKx3Sn2OMPbXYhKoWakjAoSklpfK5dLXbv+hU8pJy5gsI/jWJQKCgoPJdEJWXzx64DzNfORSeZoWYf8a1fZ4u1LCqBGtR2T3awVu8jl62Li5TJt6r5jFl+itC4R8w42LjAkHXQYDhqLHynXUKTrCOMW3OePNMT1gbJx65mVwDq5F3EZH7wvvMPhVFHdQOAWqpINJihzkBRKl1B4V+ixBgUSm52Na1bt1Z0UHQASoYOX247zxxpTmHRr/5LRAgngCQ++lKy855MB40Oqf9iZK0NbdRBvJu3hKGL/Qm+9QDfiDuoNWLpotEIVMj8pJuPJuoEP+wLffg+D6BU9ZZYZAk3KYWYm/fnyNgbHEdoRDT1VXclC6zUDvosEEspT0BJuB6eBEUHQXHHX2IMCgWKZBAtySg6CJ5nHc5GJFPv+hKqq6IxWZdCGrwKNGKZQ5ZlzCphWMQmJpOb+4TLEGVqIL30GzISwzW+vJm3koELT7A3OO7h+0gS9PwRavVDi5l5unlsPXaegOjUJx6LSm9LjModgKyogILtBpOZmbsuM2bVOSZr/ijcoXxT4ej5N/0mnufr4e+g6FB8SoxBoXjtmjlz5oyig6ID8Pzr8Od+P8ao/wIgpuVXLDqXwZhVZ+k65wjVp+4h0ugEgH9AIPVnHqH1dwcZsew0s/Ze4UTY7YcvS1TvifTC9wCM0/zFJ5bfGb/qFFO3BpGdZ3rwPiq1mC0oU5MyUio/ahYwedMlLJYnj9iP1VUEQE66DsC5yBR6zvVj8dFwxqm3M0RzqLDx8C1g9eShfvD8Xw9PiqKD4LkuDqagoKDwpMSl5dIscgk6jZlj5toM3+kAiIRPKiy4kIG1TnwLbae6xDmTDzGpEJOay6HQROYfCsdWp+aFOu4MaVqBhp7ORXMSNBstjISdH/KqZj9VpRjeOfkOh0ITmPxCDXrUKXt/DgOdDQxcgbyoLW0IYkvCTnYGVinMpvkYsrQuYIDUxJiCSqLluM1K7RLaqgMLG755EPRP6BeioPAPoxgUCgoKzw0pWXn0+mYz/noREbHC3I3XdQfpZn+DGnI4jjlRSHLh7MMIzV5GaPZi0tqRYlOZYLUPf6VWYkd2TTaeu8nGczdp4OnEhK4+tKpSqvBETUaCXRnYMpYWeSH4qifyedqrjF+bTd3yToxqU5kXapdFo75rErh0NaT2k8D3Cz7TrmHEvjb0rOOOSvVoPwdZlrmSYU0HCW5E3mCvKZKR6v18rN+MlSW7sJ1bLaTyjf4RHRUUioNiUJQgilvw5XlD0UHwvOmw+fxNZuwIYYj6EFpJTNku0c1GQoYi1ZgloOhyg8aYSem0S7TnEu2B7+1sCLBtyXdJbTkVVYVXfjtFp+pl+Kpf7cJMmTV6g2tV2PQmTvGBzNXN51X5ADNjXuadP9IoZaenR52y9KjjTgNPJ/QaNbR4G8uFtbgmXaVj2iaOXmtKe58y943FaLYQfCud/SFx7A6Ko7tJBVoYpD5MV6sQyphiwQKBlsrUUYllEKn5W/+Tfs/b9VBcFB2KT4lJvf13U4gqKCg8G+TkmZm6LYiN56LpqjrLYt2cog08GkPVLuDRCMrUFIW/zHmYv/dGbcpmhGUqc9/sjn1KMESfgmv7IK0weVW0bW0mpfXnhKk6dnoNX/WtTd8GHoXHNxvBbw4c/QHMYinlItVZmteZPZYm5KFFp1FR18ORamXt6WA6TpfgSaTLNnS2/MLMIa3JyjORkG4gMjmLa/GZXLqZRo5RGEVeUix7dZ+gl4wFp5Tt3FiqG0pUfLKohGpfTmTqVBJYKfwDFPe5WWIMCqWWh0xKSgrOzs4lOke9ooPgedEhLcfIG8vPEBV5nVm6xbRXFUZByA2GI7WbBE4VHrivvHEkUtBGlpm6kdnxa97pWDX/BRlizsHZZRC4HsyiBOkJfWveSxtKIk6MaOXFZz1qFF3SSIuBw99AwB9gEQ6auSpr/OR67M2rS4DFmzDZAxnYq5tENVUM043DWWZ+oUi/XEinjuoG7XVX6KQPxtMQVrTjnaax3aonUzdd5LD+Q5ylTHhhlvDtKCbPy/Xwv6LoIFCKgz2EOwZFUlISLi4u/3V3/jNMJhN+fn60bt26RE/pKToIngcdMnKNvLz4JA5x/szXzcWFwkRTCarSlPk87BF7A2G+sPolMmUrOrOA7RN6Usbe6p6TxMORb+HccpAtZGuceDd7JL6WRnSvVZa5Qxqg09wTLJceC+dXwPmVkB5T5CWjSk+ypgxueYUzIFvNLfGyNeJEBmVMsdiYiua2kCU1kixmK7KbvktC00/oOfcYn1iWMFzjC6VriMyc6uK/j8/D9fBPoOggSE5OxtXVVSkOpqCg8PxjNFt4a815qsTtYqXuO2FMuNUh0qMnAGFWdR5/EO9OWErXwE7KZZBpF1/vvHx/G3s3UfhrzFFwq42NKZXfdD/ynnYre4JjGbf6HMZ7s1c6uEP7T+D9IBh1ENp+LEqi6+zQWgxFjAmAvuoT1M89g1fulUJjwtkL6r8CfRcSPOQ0e8xNAFA7luOtNedpaLogjAmAF777n4wJBYV/CuUqVFBQeOaYs/8qTuHbmaP9FRWyqMzZdyGGZSLVdJJVxccfRJKQW38IW0YxVvMXnS62Y1v1MvSp73F/27J1hHGwbyqcXsQH6vV4SLeZdOUNPt8WxMx+de6fIlephN+GR37khcUMKRGQdlPMXGwdB0AKjji/+DVYO4vlGdeqIsw0n4snI2km3QLgl0sy8bHRrLRaKF5sMgoqt/tb2iko/H+hGBQlCFtb2/+6C08Fig6CZ1WHMxHJnD/6F6u0v6KSZGg0AnrOBpUKvVF8w89UOz3RseSa/cg4/DP2KUF8qV3O+5tLU6WMHbXKPcDfSqOHHt+LqqC7PmaQ6iBmrcynp0fi42bP660qPfpkKjW4eosfIDszHRvfSVy1uFO9+ss42mgfuNvJa7EMlkQ2zu1Repbo51CKVCjlA11nPNE4n4Rn9Xr4p1F0KD4lZsmjJK+HgRh/kyZNFB0UHYBnVwezRWbOlmPM084ToaG1+hcYEwDWssjLkGrRP9HxNFot9oMXIau0dFGfo595LyOWnSE6OfvhOzUZCf0Xg6RiiPoQ72s2M3P3Fa7Epf+tsdhU7wRAPSmcsPjUB7YxmS0kXT2JVjKTItvxsWYDDaWrYOUo0mtrrf/WOR/Gs3o9/NMoOgiKO/4SY1BYLH+vwt/zhsViITY2VtFB0QF4dnXYciGG15N/prSUhqlUTfJ6zSM4LoO9wXH8eTqKW5liPNfjkjl6NZGI21mYH5Hi2mKxECu7IneeDsDn2lV4Z51n8CJ/whMzH96ROgOg988AvKfZTAfLKd7/8+HVQB+Iizc5khVWkpGMmAf4b+SPt5ElCABnKZNean9QaWDQKihd7cnP9Rie1evhn0bRQVDc8SsGRQnBYrEQGhqq6KDoADybOsiyzKUDf9JVfQ6jrOYD8zvU/uoYPef6MWbVOT7ZHMitLOHHYIOBV5eepv0Ph6n/5T7eWH6GZcdvkJBRtBBYgQ5NRkPNPugwsUQ3B+f0Kwxc6M+JsNsP71DDV6HZWAB+0C0kNS6CP85EP7z9vahUxOkrA2COC7nvZf/wJD7eeIlu6jOFGyW1mB35h/0mnsXr4f8DRQeBYlAoKCg8t8iyzJfbgxiauRyA3809+CvWEY05m4ZWtxhZJpTJ5YNoqxM1Owaqj1BZuoWNRiYj18TBKwlM/yuE5jMP8Pqy05wIv02RiHlJgn6LwbMldmSzzuprvLMvMez3U/zse+3+SI47dP0KPBphTw4ztb/z494rZOQaH9z2AaTrywKgy0ko2JZpMPHVjhCGLDlJfSmMOqqIwh0GLofaLz3x8RUU/k1K9kKRgoLCU8+5yGS+/CuEMrcOUF0nZgDqO2ZxUfUFjhnXRGrte9wXaqsiOKifgKyxJtulJldsGrI2tTab4kpxODSRw6GJNKrozJQePoU7aa1g6J+w9mXsok6w1upbPs17nTm+sCswlhl9a9O00j25bNRa6DMfeVFbOnKRZoYT/Hm6KqPaVn6isWXpRH0Qq9wETGYLWy7E8P3eUBIzDLRXXWC5blZh4+FbwbvD3xNPQeFfpMTMUJTkrGcgxu/i4qLooOgAPBs6GExmZu66zICF/kTevMkS3eyC15pnHcQp46owJqydoWxdqNQWdIWVNg3okUw52Caco1HEEn5MfY+rZT9nvvdpnDW5nItMof/Ck6wLh1xj/gyElSMM3ww+PdHKeczSLma+9ULi428xaJE/w38/xanrSUVnN8rUQGr5LgAfa9azwi/s4TMa95CjEhEFkbEJdPzxCB9vvIQ5I5Ef9b8VNSbaTvx/NSaehevh30DRQVDc8ZeYTJlKLQ8FhWeH5Kw8xqw6S0BEAiPVu5mk/bNog0YjxAO2QnORfOoOZiOWbz1RGbPpaZjJgtdbUjE7GK7ugbADYBTRGxYrF7Y5DGFSVFPy0FK1jB3zX2lINTd7cRyLBfxmw6GvQbaQqXZipmEg601tMKHBu7QtAxtXoHONMniXtkMypCP/XA8pJ4UP8sbRa/gHdKrhxsPINJg4GZ5EwJpP+Ui7kbWmjswwDWOU9SHGq7egNxU6hMpWTkgTril1OhT+NZRaHg/hjjApKSk4OTn91935z7BYLERFReHp6YlKVWImpu5D0UHwNOsQn57L4EX+WCdf5hf9L3hTNH01U2+LpYaHsfZluLqbeaa+xDeewFd987NmGjIg4E84tRCSRFrubIfKjM0YydGcStjpNSwe3oiWd5cpjz4Nf70HCcJpMklXjp9ze7IxrwXZiDTdHk7WNPB0YphxI81vzOeixZvPy8xl3pAGAGTkmkjMNHArNYfQuAyCb6UTEJ2KySLzrnozH2o3ApCrdcQqP49GqKU8Pqqbog+dpkGbD/8XSR/L03w9/JsoOghSU1NxdnZWUm8/DMVr10JERISig6ID8PTqkJRpYOiSkzRK2cNW/efCmLAtg0klHt4HnQc92pgAqDsIgP7qY2w4E8nNlPycEnp7aDoK3joFveeCnRs26ddZIU/lu1K7yDLk8dqy0+wNjis8VoWmIu1216/BtjSuebf4UrWEANvxrHBdQU/NWdJSk9hxKZbxl2tjkDXUV4Ujx1yg3azDtJt1mF7z/Bix7AyfbQlipX8k5yKTqSDf4n2HQwXGBICVMQ2LcyW+t3qHTeY2YqO9OzQb84/p+zCe1uvh30bRQVDc8StOmQoKCk8FJrOFt9deoEvyH3yiy1/iqNoN+v5K3ILelM8KJsWl7uMP5NMDrJzwyE2ii3ySb3eX45ehDQtfV2ug0WtQozeWXRNRBW1gcOZqqpWKYsjtEbyz9gLLRjSh1Z2ZCrUWWr4NjUeICqTnlqFNCqNd1l7aafZi0WpItqlMuLoS+nRRZfRn7S98aRqOlUaNizYPT10mntpUfKQoyuWGY21IhLyi3ZZfWsqUq5U5ciaAvVa/iY0dp4BOydyo8GygGBQKCgpPBT/5XqN65Go+ueMv0eo96PQFqFS45IrojlwH78cfSGsFzd+CwzN5R7OVFy41Y399D7rUvMenwcYFS9+FXDWWxefaQhpkHmWbUzp9U99lzKpzbHu7Fd6lC5080dkKw6LFeIjyh+CtEH4AVVIYpbKuUoqrBU0rq+IKnSrNQE7+zx3UOtLLNMYh9gQA8ku/szqrMX+cucRq3WLsyIEKzaDekL8joYLCf0qJMSgUr10Jd3d3RQdFB+Dp0+FybDrhR//kV+0qsaHDZ9BuovjbZMDGLOJC7+RteCzNxoD/fHwM0byi9mXSJitquLeivLNNkWaSJCE1HI6leXfUf7yMT+5FNjj8RP/0jxi3+hxbx7fCRnfPx6QkQcWW4gcgNRriLkFcECQEQ8g2AHJVNli5VRPpse3cxE9pH1FozK0Wa0/E8vKttjhJWfinl2L6zmDGqnfQShUMWhvo+6uo//Ev8LRdD/8Vig4CJcrjIShRHgoKTz/j529lZsI4HKVs5CajSGwzg5upuaRm5yHnpNJpW1MA3qmyn5+GNkGteoIPvNNLYNcEsiQbOud8h6tHJdaNboGt/iHfo26ehVX9wJDODqk9b+eM4vWWlfjixVp/ayyp8zrglHSeH2w/YsLHnz+03XsLt/Fz3KuYUVHfuJymcgBLdLNF9dTeP0Oj1//WeRUU/imK+9wsMU6ZZrP5v+7Cf4rZbCY0NFTRQdEBeLp08A+7zctxs3CUsrms9qHhmQ40nXmQ/gtO8Mbys0xad66g7V9BCdT5Yi8Dfj3BD3tDCYhOxfKwWh2N3wCPxtjK2Sy0mkdoTDIjV5whJ69wzEV0KN8YBq0ASU0v+TAj1HtY4R/BxejUvzcgD+GvUS4z+KFNkrPy0N70ByDAUhlvSwTz9QuEMdF45L9uTDxN18N/iaKDoLjjLzEGxXM+EfNYZFkmNjZW0UHRAXg6dLBYZHxD4lm+dB5t1EEYZC1jsseSkitWFSo4aGjurqZ2+cJvSPbkkJ1n5mxkCr8cCqPP/OO0/+EwS45eJy37npTXKjUM+B2sHKnHVb7RL+fk9SReW3qalCzhEXmfDt4dofs3AHyqW4c3N/lie/Df0knjLsJUy1tiHlqYbOelW7SQRNGvbFnPH9bfYSXnQKV28MJ3T3yuf4qn4Xp4GlB0EBR3/CXGh0JBQeHp4WxEMtO2BxNyK5V9ug0AZEq2LK3oi4cpCqv0G0h5mfdFQvjqJ6Ct1ZtQq3psTvVmV1geUcnZfL3rMnMPXGNcB2/eaFUJK22+74Gzl6jR8ecQBnCQdL0dX0YMpt+C4ywa3hjvUg8o/910NFzbjzZsP7N1i+gTPZ3DVxPp4FPmicZmVaYSAB7SbdJzjDjbFk1IFZeWy5fbAjinFzMvrdXBYAE8W8LLax8fFqug8JRSYmYoFBQU/ntyjWambg1iwEJ/wm8l8rv2B6qqROIqV1KpErcT69uBwph4AG5SKi4hq2hxfgKzbrzEJe+FrGkRQ60yVmQYTHy/J5TOs49w8npS4U4+3aHXTwC8IW1ntu0qopIy6f2LH0uPR2C599uYJEGfX0BnT10pnD6qE8w7cO2Jx6hyLJ/f15QixzZbZJYfv0Hzbw7QVhWAg5RduFPFVvDKetDb3Xs4BYVnhhIzQ1GSs56BGL+Xl5eig6ID8N/ocCs1h5ErznItNpmR6n28b70Le1NyYQPPlqIeh3tdcK0KdqVBawuyBf4YDNcPE2YpR2LZNrSQL0HiZdQ3DtGKQ+xwKM/FZm/y7uWaRKfkMGTJSca09ebjbj7CgbPRa2DOg10f09+8hypOSbyWOpKZu0PxdrVCXz6FVlVLF/bFvqzITnlgOhO162gf1YwrcelUL/t4BzWj2go9YI0Bi1pClmX2BscxZ/81QuMzcCST33U/Fu5Q92V4cS5o9P+c2H8T5b4QKDoIijt+JcpDQUHh/51r8Rm8uvQ0bulB/KD/jSpEFXn9arc1VGvR6+EHOLUIdk/E31yT96xmcPyTjmjTIuDCGriwCjLjATCX8mGx43t8F+wEQKfqZfh5SAPs7kR2hGyDTaPAbCBLX4aPDG+yJ7c2AA09nRjd1ptONcqgVavAmANzG0BGLB/ljcWhxatM6/34iI/UpASc5lUFYGmH0/x5Po6r8ZmAzIsqf+bqfils3Oh1MXtSwsMUFZ4ulCiPx6B47Zq5dOmSooOiA/Dv6hCdnM3QJSfpnrmFjfrpwpiwdsFYuQsA4RZ3PBp2f/RBqnQGoIk6lJyMFHZeigWXytBpKrwXAN2/BZtSqG+HMi58PL51DmCjkTlwJYFXfz9FRm6+w2bNPvCmL7hWxdaQwEJmstV5Lt7qBM5HpTJ29TmazTzAZ1sCORSeQW7DNwEYqdnNvqC4RzqrybJMVFI2S46EFmybsfsqV+Mz6KAP5WipWUWNCXt3ER76FBgTyn0hUHQQFHf8JWbJ4zmfiHkssiyTnJys6KDoAPx7OmTkGhmx9CTv5i5kuNZXbKzZF3rOJmXPt5QBLmlq4/2w3BB3cPWG0tXRJF7hRfUJfj3sRu965cRyhtYamo+DuoNh31S4uJoq137nVIUQesaO4nxUKq8vO8OaN5sJZ033ujD6MByaiXxqIfVzTuKrO81l1y58ndyJ41kerDkVxZpTUThJFTil11FTFYlT+mU+3liKehWc0Kgkco1msgwmYlJzuZmSTcitdJKy8qgoxfGxHkyyilHOFxip88UtLQDudQsZuu6fF7yYKPeFQNFBoER5KCgoPHV8vjWIUak/M1hzGBkJqdvXIi22JKFLCATgur7mkx2s4auw91OGaw+wJr4T685EM7SZZ+HrNi7Qdz5U7Qxbx2Mf688+5yR6pHzEuUiYuPESP79cX2QB1NtB95mY6w4hbeO7uCafp+btvaxhL1luVfGzas+WdB/2pZTloLkeL6jP0EN9ilnnKrHx3M2HdtFVncUwSRhOGsnCpzk/Qg5YVDrWGNvSTgrAU5UIdQaCe71i66qg8DSiGBQKCgr/L+wNjqNi0FxhTEhqpH6LoO7Agte1WbcASNGXe7ID1hsCB7+iujGSzqrzfL9XR6caZXBzsCrarlY/KF0dVvXDKuUqO+2/oV3eJ2wPgLrlHXmzTeXCtmVqEFh3Gq2rOKA5OR8u/4Vt2jW6pV2jG2BxdEBlEGm/x2u2EyW7Ubm8OxaLBWu1BScpCw9VCmUtcZTJvII+o6hvCI4VSK8+iJdO+9DCclzM0mhtoePUvyungsJTT4lxykxJScHJyem/7s5/hsViIT4+Hjc3txLtwazoIPj/1iHXaGbaDz/wnWEmAEd8prLXqhup2Xlk5JrQqVXMv/ECVpKR1oafmDuuL3U8HIUz5KPwnQ5+s4lQVaRT9le0qOLGyjeaonpQKu6UCFjRG1KjSHSsTZv4j7BorNn5TmuqutkDD9AhN004bl7ZBZEnwJBWfA3sypMz9hwvLTqJdPsqO/VTsMIAPX4QZdSfIpT7QqDoIEhNTcXZ2flvO2WWGINCifJQUPh3SMs2MmL+LhZlvk1pKZ1lpm5MN712X7vr+ldQSTJNcheQiBM2OjUtvV3pk18ZtCA51d3kpMDP9SE3lR8tQ5iX15sxbSszuUeNB3fm9jX4vQvkpHDctjOvJL1BA08nNo9r+fgCSBYzxAdBwhXYMrpwu2cLkNSiDLreHhzKg6MHuNUiyFKJhJWv01F9kawOX/FKUEPCo2+xw/pzKsq3RFjs8G1Qgh9WCk8/xX1ulpglD5PJ9F934T/FZDJx4cIFGjRogEZTYt72+1B0EPx/6JCQkcuCQ+GsPRXFF9JySmvSCbWUZ7PDMN4snUtVuzxctXno9VbkSTpUJ8V3GQsS9lYaMnJN+F5OwPdyAo7WWka08mJEy0o42tyVOdLaWUR0bB3L+5qN+BrrsugouDlY8UbrSvd3qlRVGLwGVvSiVZYvg3U+rItqxc7AWHrVLfdoHVRq4efgXo+8sMPoAtfyo3EA44cvfrCxA+zec5k3VWEAfHrWhuDE2yy1mi+MCQcPeGnpU2lMKPeFQNFBUNznZclVrASSlZX1X3fhqUDRQfBP6WC2yCz1u8Hs/VfJMZppIF1jqP4gAD6qm/yV/SpEPnwi9Ij+A0z1hpPm3ppNKVXZFBBPTGoOP/le43e/G3zczYdXmlUsrDBa72UI3oL62l7WOcyjbdo0vtwRQq7JzFvtq9x/Aq9W0H4yHPqa6dqV+ObV5vs9oXSvVfaJddCWFsf1UsWTnJVHOaf7U3abLTIhZ4/gLGWSKVuxJ9GFBda/0ka+ABorGLxKJOt6SlHuC4GiQ/F5+kxlBQWFZ4bYtBwGLjzB17su42m6wW9Oy9min3ZPKxmsnMC1CpRrCG51RA6JfOykXJwCllBxz2t8GPgix+rt5fc+Zahe1p6MXBOfbwum/68niErKT1UtSdBvIThXwsFwi52lfsGWHL7fE8rkzYEYTA+IoW/zEZSti5U5g6nWG4lKzmZ/SPwTj1NyEbMfFaSEhxb8OnI1gca5xwHwt9Rige1vdJH9QaUVsyQejZ74fAoKzyKKQaGgoFAsAqJTefGX48RFhTFfv4A9+sl0zt1X8HpqqcYwbBNMuAafRMI752D0IRjnB+9eEJU1gRPmmpxw6g22pSH7NqpTC+m0vzu7vP7kh+5lsNdrCIhOpee8Y4VGgI0LDPkDrJzwyAxkf9n52EvZ/HE6ikEL/bkWn1G0syq1cIYE+soHqCrdZNnxiCcfrLUTAPZk31/7A1Hwa+Ty0/RSnQSgi/ocncx+oNLAgKUilFVB4TmnxBgUavWD1zxLCmq1mrp16yo6KDoA/7sO56NSeOW3k3TK3s1+q0n0lPyQKHzQXrZ4oh65W2S4tHtIlU6PhgBEyG6MS3uV3HeDYegGqNweLCZUF9cw4EQ//DpcpbGnIxm5JkavOssfp/NDM8vUgOFbQO9AudTz+Jf5nupWqQTcTKPnXD9m779KpuGutWDPZlDjRQDGabZzOiKZ2HTDE+lg1oqiXfZSDja6wpXiLIOJOfuv0vybA7RRBVJRlVC4k95BGFQ1X3xCVf87lPtCoOggKO74S4xB8ViP7uccSZJwcXFRdFB0AP43HcISMhi11I/plnl8q/0NW3KgQjMYc5REj04AnLZuhb217tEH8mgMQFvNZdJy8th7+TZU6wqvboORvmKJIC8Dx8NTWO/wEyMbOiDLMHlzIMuP38g/RkN4bTvYlcUu7So7raYwocJV8swW5h64RtvvD7HoSDhp2fmpt1t/AEAf9QnKksTe4Pgn0iHDYCn429lGS0JGLj/uC6XVdwf5+cA1dBhZqfuucAcnT3hjjzCOngGU+0Kg6CAo7vhLjEGhRHmY8PPzU3RQdACKr0N6rpF3VxxjgeUrXlL7IUtq6DIDRuyGsnVxiD8NQKRL68cfrHI7UOspTxxVpRiWHo8oTPlboYkwKnr8ABorVGH7mRIzjinNxOzA9B0h7LgkEmNRrgGMOgDu9VDnJvN24hccr/oHTVxySc7K45vdV2g605cP11/kQLoH5gotUGOhj/oE+4LjnkiHlDSRj8Iga3lz5VlafHOQeQfDSM3Oo50qgKtWd4XFuteDsX7g9vhCYk8Lyn0hUHQQFHf8JcagUFCMqjsoOgiKo8M3284zLWM6zVRXsOgdkIZvhlbvCh+F1Ej0pgwMsgZjqSdIp623B+8OAAzUHicgOpWDV+5aMlCpRAKoNw+AS2WktGhGXhvHJ/VykWX4cH0AwbfyE085lhcGSKv3AQmP6L9Yb3ybXbWP0KyMGYPJwubzMYxccZZpEaK6aD+1H6cjUrgYl0t4Yia3UnOIT88lJjWHoJg0jlxNZKnfDSZvvsSMzcJQykbP4dBELBYzI92ucbLMd6y4e2ZCrYPRR8DK8W9r+1+j3BcCRYfio4SNKigoPBF+VxNpETSNZuorZKtsWVv5Jy6fdcZ46gKSBE2NZ3gFCJc9SMqVkWX58VOnDYbD1T0M0x3mx7x+fL3zMq2qlCqa56FsbXhjH6wZgBR7kTHRHxPl/SNrw3W8s/YC299pLcqTa3TQZbrwWdgzGSn6FDXDFvGnejnJdfqwzdKaZTfLsT2tKV+ofqe6KpryUiI/nC3ND2ePP7Kbw9RJAGgxs9rHj2YpO9GmRd7f8O2zT0X1UAWF/wJlhkJBQeGR3M40sOz4DXxXfMmLan+MsprXcz7kqwtWbDp/k+0Bt9h28RYXr1wDIE52ZldgHB1+OMxXO0IIiE59+MF9XgBHT2xMaYyxOcL121nMPXDt/nZ2peH1HVCuAVJ2EjMyP6e6Qx7Xb2fxw97Qom09GsEbe2HQSvBohGQ24HptPW+Ev8tRzVv41d6BRhI+Ed1UZ8Th9Rp0ahVqlYROrcLNQU9dNx2vV81hfu1rfKVdBkB1VTStIxegTY8kR2XLelO7wvO2nwzOFYuts4LCs06JSb2dmpqKo+OzNw35TyHLMtnZ2djY2JRohyNFB8GT6BCdnM2vR8LZeO4m7uZb7NF9grWUx1eW14n2Hoq3kwpXWy0ajZY8yYoq4UvpEPULm8xt+Mg4rsix6lVwYlSbSvSo7X5/3Y1zK+Cvd8nTOdE4/XsyJDtWjGhK22oPSAKVmShSaafcINm9HY1ujEKSVPz1TmtqlXvA/S3LEHUSAtZCyHbITb2vSY7aHit7FyS9vWhvyhU1PbJvP1i8Sm05oOvA2wEV+Um7gG7qs1DKB8YeA43+wfs85Sj3hUDRQZCWloaTk5NSy+NeFINCIMsyZrMZtVpdom8URQfBo3TINZpZcDicRUfCMZgsaDARrB+JXsqPlHD0hIxbYLlrrVlrA8bsgn8/cvqZzh27sjs4nj1BceSZxYxAvfKOTO1Vk8ZeLoX7WszwaytIvMwZ554MjH0FJxstm8e1pHJpu/s7HxcEv3UCUy4bS49nQnQr2lUrzYo3mj560KY8iPIXRb+OfPtkQunsSbbzxiX5ovj/1e0svlmembuu8KZ6J1O0a4TfxBt7nunEVcp9IVB0EBTXoCgxSx5m8wOy55UgzGYzfn5+ig6KDsDDdQhPzKTfghPMPXCN8uZofnNZTZjVq4XGBEBaVFFjAooYEwA/pr7HCwe6MrfUVk6Or8Z7napiq1MTcDONgYv8+XpnCLnG/HOr1NBrNiDRJGUno8pcJjXbyCu/nSI6uehxAeFT0U1UMe2fuhwPVTJHriZy6Wbqowet0YnIkg6Tha9DPhMcZmF6fY/IGTF8C4zYI6I0JkXA5Gh+thKzLUaVnp+ulWbmrit0VZ3hU+0f4gDdv3mmjQlQ7os7KDoIijv+EmNQKCgoPJrjYbfp88txcuJCWWb1Ewf0H9M5e1fRRr3mCP+ED0LgsziYkgiTY+Cd81B/WEGzbFkPadFw/CdcljThg/TvOTram4GNyiPLsOTYDQYsPEFcWq7YoWJLaPk2AJNzf6KjSxKxabkMWuTPlbj0+zvbaASUb4rKmMUvpTYDsPjo9ScfrFOhr0O87ALlm4gkXN4doWILKFsHrJ2JTc/FIeoAAOfV9fjp0A2aq0JYoJ+PCotwKm088snPq6DwHPNMGRSTJk0iNTX1v+6GgsJzx97gOEYu82ekaR2++kl04DQgiQdtPmsbb4DGb4Bnc1GuW2stvvXr7cDVGxoOByBeKkMDwyJON/kJvNqAbIbADbgua8Us1x0sHVYXF1sdQTHp9JnvV2gwdPwcKrZClZfBYu0smrrmEJuWy4Bf/dkXHFe0wypV/qwG1E8/RBXpJvtC4gsTWD0OjQ6j2gYARznjoc2WH4+gq0qEjG7Jrktn9QVWW/2ARs6D6r2g109KVIeCQj7PjEFx/vx5vv/++/+6GwoKzx2nrifx5R8HWaX+kg+0m9BgAu9O8NZJqP0SAOcsVfGu+ZhpfVdRkdNNTkBPHkuT64rIjNFHhGFhNsDR7+l4/BV2DilD1TJ2xKcbeGXJKVF7Q6ODQavAuRKatCj+0M6gh6eJTIOJ0avOMWVrYNFU2mXrQI3eSMh8areTPJOFnYGxTzxug8YeAGfVA5ZVEIXPjh07SB1VBHmyGne9gSW62WgsuWI246XfQa1E3iso3OGZMSiuX79O5cqVH9/wISi52dW0bt1a0UHRASjUISEzj29WbWedeipNVFeR9Q7Q/zcYvhnKVMd01ReA3eam+JS1f/RBbUsVGBWNVNc4GJpAclYelKsPr/0FA5eDtTPEBuC+oRdbu+dRx8ORpKw8hv52iti0HLB1FW2dvVCnRjA/+2O+aCge+KtPRtHxh8NsPn8Ty52Kn20mANDOdBxn0jkUmvCAjj2YO0W+PNzLFLkeTGYLm87dpMU3BxmqFssdOsnMe5ZVSLIZ6g6GIX+C1uqJz/W0o9wXAkUHwXNdy2Pjxo0MGDDgv+7GM4/BYPivu/BUoOggyM7J5ds1u1limUZ56TZGx0pEDdhFRLkexKblYDQaUUWJhE8XtPVxsnlMbQ4QvhDAAPsQ8kyWwkJekgS1+olZD8+WYEjHdsNg/mwRjY+bPYkZBsauOiccNZ0qwOs7oXQNpMx4Xg8dz4FWl/FysSIhw8CH6wPoMucI685EkVu6DrjXRy2beFHtz8nwJExmyyM6WIhsFrMdLrYi1DM1O49lx2/Q8ccjfLQhgDKkMExz4K49JGj3CfRdCGrtk4n8DKHcFwJFh+Lz1IeNpqamcvbsWTp37oy3tzfnzp3Dycnpoe0NBkORCyI9PZ0KFSoQHy+KAIEofKJWqzGbzdw9fJVKhUqleuj2e1Oy3gktetB2uN9T9mHbNRpNQbjSvdstFgsWS+EH5J2+P2z7w/puMBg4ceIELVq0QKPRPBdjKs77ZDKZ8Pf3p0WLFuj1+udiTE/S93u3X4tLZ8KyffxqnIKnKpEQS0WG5U0mmcIQscqqeA7qPiBX1lLDsIxd77ahRjmnR46JsAOo/xhIrs6FWuk/42RrzYEP22KnL/zGo7IYUe14Dy6tQ5bUJHSdT7d9rqTmGHm9pRdTeviIhoZ0VFvHobq2R/TdsxV/ln6Pb85SsPRhr9fwpbsf/eLmct5Slf5509nxTmtqlXN49Psky1i+dkeHkbfs52EqXYPDV2+TZxLjciWNc1aFuTRkm1JY+i5EqtLpufyMsFgsHDt2rODz4XkYU3Hep9zc3ILPB41G81yMqTjvU3JyMm5ubn87bPSpXwBcv349o0ePfuL233zzDdOnT79v+5kzZ7C1tQXA3d0dHx8fwsLCiI0tXHP18vLCy8uL4OBgkpOTC7b7+Pjg7u7OhQsXyMrKKthet25dXFxcOHnyZJE3rUmTJuj1evz8/Ir0oXXr1hgMBs6cOVOwTaPR0Lp1a1JSUrh06VLBdltbW5o0aUJ8fDyhoYWZAF1cXKhbty5RUVFEREQUbH/cmC5fvkxWVhYnT558bsZU3Pfpjg7P05ju8KgxZWTlMPevkxyONhGRZmKZdgGe6kQiLWV4LW8SKThgqwWLLGG0gBcxAFyXyyGj4oW5x6le1p5OlWyobZuBtUa6b0xxMSpaaB2wyktmiH0AqzMaMmPTKXp7Fn5g+vj44N53IYnJqZS+uZfS+97mU68vmXjZi+UnIigvJ1LlTsqYcmNoUbEtuiNfoY46ztAof9qU7cQaTX/+uu3GrbRcZkVUoZ8V1JPCcCCLvvOPM651BQyp8dhoQK+W0Oj0VKxchfCYREIiY0lOS2cNwoHTN9GBvESxVNLALo1ext2MlLYX9Negc+Fs/dkYb2nx0kU9l58R5cuXJzc3t+Dz4XkYU3HepzNnzhT5nHwexlSc9+nu4/wd/pMZisWLFxMeHv7Q17t06ULnzp3x9fWlcePGBTMSygyFMkNx95iUGYone58sFpmtAbH8dOAat1JFmOZr6r1M164AILLWeJzdvbCRTEh6W9Dbo3KtRPpVPxwPT+GAuQEjjR+jU0vkmUXfHK01vN6iIm+2roSNXlNkTKrDM1H5/UiaS13q3ZqEVq1i09jm1HR3KDqmPAOqTSNQhe5EtnPjK49f+T0glyplbNn5divU+Rk11Wo1JN9A3vcZqlARxipLKqj2AqEe/VmT4MWbwa9SUY5hdN4H7LMURqY8jFrSDXbqPyNJtudl3XzGVk6gk+EADpH7UcmFmsp6e8wfR/wr79OjtiszFMoMxbMwQ/FUL3n4+vpy/XphbPmYMWOYOHEigwcPpmHDhk90jDuZMpOSkgoMipKIyWTi5MmTNG/evOADoyRS0nSITMpi4sZLnLqRjBozL9qF8o6TH5VvH/5bxxnJ5/z48Xh2BMaz9PgNrieKbzAVXKyZ0ac27X3KFDbOTIA5tcFsYH7ZGcyK8Kaamx3bxrfGWnePs5chE37rDImXMVbuQuPro0jLNfH9gLoMalzh/o5EnYRDM+HGkcJtegcwiNDTw+Z6vGV8j671K5OUlUd6jpHsPDNatQqdRoWrrY7KdnlUDZjFIPUhAMxqK9Tm3PvPpbGC8adLRH2OknZfPAxFB0FycjKurq7Pl0FxL5IkER4e/reiPe4YFH9XGAWFZ51DoQm8u/YCGNJ5U7ePN60OYZuXWKSNbOeO5FJJlNvW6EXGy5xUSAqDnOQibc2OFVE3fg1z4zfZeTWLb3dd5lZ+YqqRrSvxyQvV0arz/bx9vwC/OZgdK9Im81tuZcm8ULss84c2vL+WR8IVWNQGzHkcqvElIy5UwdPFhkMT2hfMUtxHwhU4+7uoz5EZd//rNq5gVzY/V4YVmHKE8ZIZJ+p03IPJ1p2N2Q04ZajI97olaDFB9++g+dgnkVpB4bmiuM/NZ8KgSE1NZfHixUyaNInRo0czZsyYvz1DodTykElJScHZ2blE56gvKTr8eTqKz7YE8KpqLx/ptmAnZ97X5jf3aYwc/cHDdTjyPRz6GoB02QYHKT9fg7UztHqPrIZj+OHADZYdjwCgqZcLS15rjKO1Vjy85zWCzDjiar5B24Cu5JktjGjlxee9at5/zqM/wMEZWOzcaJ75Awm5apa+3piO1d0ePVCLBW6eEQZM1Im/oZDA7N6AkNoTGXlIi5yZwHab6bhb4qHaCzDkjxKTtKqk3BePQ9FB8FzX8nBycmLixInIssyiRYue2Ji4GyU3u5lLly4pOpQAHdafjWbBFl82aT9nmnaVMCZKVxf5JTp8BsBFizdpjnUerUOpqgCE62vS1DAfX58voFQ1yEkB3y+wXd6JaQ1yWTS8EfZ6Dacjkhmy+CS3Mw0ie+aL8wAoG7KU5a1E5c5lxyP4YntwYR6JO7R8B5w8UWXG8215f0DknXgsKhV4NoOePwCQJNvzRtnNMOaYqMvx8h8wYJnIG/HaDhjnz+yqKwEwo8K/xWIG7ZbJzExnje1sYUw4V4K+C0qMMQEl4754EhQdBEotDwUFBU6E32bvlpXs0H1GfdV1kaiq1xwY5w91B2IO2gLAn+YOVHF+zBqxi1ha9LDEkIuOZVktRB6Jvr+CTSlICIGlXemWsZV1o5tTyk5HSGw6ry87TZbBBNW6QjOxZNDywiQWdtIgSbDCP5Ixq88VzXqp0RcYO+1u/4GePI5dSyQ99wlTaduUAsCZTIxqa3CvK+pyVO8BtfuDzwtQqQ3JdlUwhe4F4Jq+JsP/uIbalM1G+9lUM4eJpZJhm8Cm5PpbKSgUF8WgUFB4TohPz+Wv1XNZpPkBBymbzNINCXhxD1crDCQxy4icfAN1YghGWc1ZmzY46h/zDdy1KiBhZUzDjRT8w5NIyDJC/aHCWbFWP1F1dM8kap79jPWjmuKaX6Nj/NrzmC0ydJkBldqBMYvuF9/mt+626NQq9ofE0+cXPy5Gpxaer/YAcCiPOjeF15wCMJplDl15wsyXGpF0SyXJONs83FBaeDiMvhwGYHlmc5zkdLbbfUNNY5Bw7hy6QdQlUVBQ+NsoBkUJ4k4ejpLO86SDxSJzLjKZb3df4fNvv+Vry1w0koXN5tY0iH6fvqsi6DrnKE2+9mXq3MUAXJIrE5Glw9rG5tEH19mIb/rAkDKRWGTYcl7kpsDWVSwldPsGJDVcWEXlo+/z2/B6WGlVHA5NZOGRcPGgH7wK3OpAVgKdTo7gr/5WuDnoCU/Mov+C48zcdVnMRKg10Ph1AIZpRQTGyetJTybEXa5gZRysH9jkcmw6F/x2U00VQ66sJU7tjp/zl1Q2hSPb5Kf8Lv9slyH/X3ie7ov/BUWH4lNiDIqSHAIEYvxNmjRRdHhOdEjLNjL/UBitvzvIS7/6c/zofn7Szkclyfxpas+3+vco5+qAl6sNzjZaJAmqm0RSnTMWH0wWmQ8PZrLoWISot/EwKrcHoK/9ZQCWHr+BwZS/vipJ0OItGLgMVFoI3kyDgC+Z8WItAGbvvypmIKwc4bXtUK4h5CTjs2swBztG06d+OSyyKDve9vtDLDwSTrrPIAAqZATgShoXolKfTBCTiDYxySrcnYo+EOLTc5m9/yov/HyMcRqRsMpKMrJMOwvbnFvgUhlpxG5Rc6SE8rzcF/8rig6C4o6/xBgUdycOKYlYLBZiY2MVHZ5xHQwmM78eDqfltweYtTeUW2m5lNIZWaP7GmtJGAYD+g/m9ItpHOmZweEhDlz4sD6hM16gb0WR8C1M9gAgJjWHWXtDafXtQWbvCy3q03AHn54AVEw4RCV7mfh0A+vORBdtU7MPDFoBkgourGKAYTO965XDbJGZujVILH3YuMCr28CnB5gN2O55n58181g5uBJVy9iRmm3k291XaPbLZWKsqyEh01F9gavxGYUGzKPIFEsjSThQs5wj2XkmdgXG8taac7T69iBzD1yjrhROR/XFgl0kcy5y1a7EvfgnFteqf/OdeL541u+LfwpFB0Fxx68YFCUEi8VCaGioosMzrENQTBo9fj7Gd3uuIOVlMMb5PMcqr+Ks6jUcpJyCdprt42Dzm7B+OPzWEX6oim5ubexiRKrdDNmGjtVLM6qOjtrlHMgxmpl7MIyOPxy+v1pnhabg4o1kzOLralcB+HHfVZIy7ymgVL2nyNsASAem82WDTOz1GgJj0th4Lt8AsXKAwWugwxRhfARtou2+HuxtdZUf+tegmpsdOUYzmzJqAtBcdRmLDDN2hHAi/DbRydkPLPyVazRz+Zro223Zka92htDgy/28teY8uwLjMFlkSpPCdv3Uwp20NtD9O8yD1nAlQnmAPMv3xT+JooOguOMv2fM6CgrPCOvORDF1azDlLTf50XoffVTH0OTkQM49Dcs3AV3+lL8hEzJixU96TEGTRbo5+MedRVfzRSYOGoHvldt8u+cKkUnZjFh2hldbVGRqr5oiSZUkQeMRsG8KLWJXUavsHILjspj+Vwg/v1y/aKx+s9EQcxYurcN5z3g+ar+WL/ZG8suhMF5qWB6NWiXCPNt9DFU6wfZ3IT4Q1e4JDHD05KWW73DOsQsXjzeH6K3UlUSW3NUnowpCSFUS2Og06DXiu1CGwUSeycJY9QFqaOGG7E7wLZE109PFhkGeGbgGL2eI+q6qoW61YfBqcKkEpgfMyigoKBQLxaBQUHiKkWWZeQfDWL7/LNM0G3hZfwi1bAEzIgoj6RoAR811cH97N1Xd7O8/SF4W3LoAy3sWbGqRewzOH8OSuosXun9Lh/fb8t2eKyw7HsFK/0jCEzNZ8EojkaSq0Qjwm4OUfJ0FrUPpmFCB7QG3aFXFlcFNPIueq8csiPSH1EheMW5mrm0LopNz2HEplr4NPArbeTSE0Yfg7DI49gOkRSHt/pjGWhsae7YAoKoqBisM5KLHy9WGW6m55JktZBpM3DtBUkMlDI7LFk8WdLGiad5pXCN3I10JgLuzfVfpLMJCFRQU/nFKzJJHSc56BmL8Li4uig7PmA6/Hgnn0oE/2KefyCuaA6ixQLXu8PpOGLoOGTGO3+zHPtiYADFj4dUabEsD8EHeODaY22KRNKiuH4JfW2J1ZAbTelTjt1cbY6NTczwsiVd+O0lajlEkqWr1PgAVz3/HZx1E9sqp24I5dW8UhpUjdP8GAO2pX3i7gQjnvM/vAkCtFbMa716EF74XybeM2RBeOJtwVj+Owz5bONw6hCtDcrnwmi0nhjtyeJgLhwdbc3aQmYu94+ijFlkyP9aup8ex/pQ69S1SXEDR81VoBkPXF9n0rF0P/18oOggUHQTFHf8zkXr7f0Gp5aHwrLLtQjTRmz7jbc02saFMTej5I1RsKf7fNxVOzOWwuR6HGi9gep/ajz7g/OaQeJl3NNP4K9OHrUPcqR/yA4TuFK+XawgDlxOc48Srv58mKSuPBp5OrHmzGTZqGRa2gcTLyLUHMCZrLPsuJ2BvpeHP0c2pVe6utPayDCtfhBtHyaw3gtqnugDgN6kD5Z0fEaoqyxB9StTnODm/mKqBrLUhRFuLVWn16KAOoJvqDOjsYKyfWOZQUFB4JMV9bpaYGQrFycZCRESEosNTrkNGrpE9QXG8teo08ubRBcbEaqk3bVOn0X2LiTdXnOXrHcFkB2wG4A9zB+qWd3r8we3FzEJzV1EpdMMVI5bBq2HQSjGzcOs8/N6FWtxg9ZvNcLLRciEqlU82BSKrNPDiXJDUSEEbmV/9Ek28nMnINfHy4pOcvnFXITFJgrYfA2AX/CedPcXHzL7g+Ef3T5LAszl0nwn5yx7bzS0I9xkDtfpDheYie6djBVH4y9kL2b1+kUMkD93Fy87r6Jn8AS6qbGFMSCoYsPSBxsTTfj38Wyg6CBQdBEqUx2NQLhDlRoGnU4c8k4VdgbG8uvQ0Db7cz7jVZ+gQOoO+6hPkyWo+yhvLlJwhRKWbuRKXge/leA4d98Mm6yYGWcsxS10uRqeSnfcYB0M3MYPRwjYWgENXk0TO/pp9YOxx8XpmPCzvSQ3TFRYPb4xGJbE94BYrTkSIiI9OnwOg3TuJZe2yC4yK4b+f4s/TURRMeHq1Aff6YMrhDfvTgEgL/sSotQD4mhsR33SiyHUxci+8ewE+CIIJofBeAIfarSfEIsqLBzeYRo+NuZyKymC8fjcT1WvFsbp+BdW6PfA0T+P18F+g6CBQdBAoBoWCwjOGyWxh/dloOvxwmLfWnOfo1URMFpnx6m0M1BzFJKs43fhHXntrMnvfb8tfb7dmxRtNmdG3Nm95i4fzWUs1srFi1clIWn93iPmHwkQdjQdRtg4AnjmX0WtU3MqSuXAn9bVTBRixSxgCeZmwZgBNrW/xWc8aAHy75woRt7Og5bv5KbeN2G1+ldVdoXMNNwwmC59sDuSDdRdJzc4Tsw0NhgFQP80XgFPXk+8vCvYQZEl8NKkxU8be6oFtzBaZzTv3UFMVSZ6sZqi/B3HpOXzhuIOPpVWiUbtPoMX4JzqngoLC/4ZiUCgo/AeExmXw0q8nmLjxEjGp2TSyvc2impe4VnoSE7QbANBIFloHf0HdDa3x2foCdY6Pp92tpQwvdY3+pW4BECiLafzS9nqSs/KYtTeUzrOPsCcojvvcoyq1FceNvcDLNUV66pX+d1X0tHKEoeuE82JuGvzxMq/Xd6Cltyu5RgtTtgYhSxL0WyQyaBqz0K/tz+Jmt/m4mw8qCbZevEXHH4+w/mw05hp9QFJjc/sSldS3yTCYiEm9N871wRiz0wDIkmzwdHmw38WaU5F0Sl0HwF5LE3LRsa3sUl435M9MtPsEOkx+ovMpKCj875QYg0Lx2pVwd3dXdHgKdPjjdBS95h3j1s0IJlht5aLLZ2wyv0u369+izbgnGiI3FdKiIS4QLv8Fh2fC6pfg4moAyklJSFg4PKE9cwbXo4KLNbFpuYxdfY4P1wcUXQZxKAdl6wIyo8qIVNq7guK4Epde2EZnK4wKl8qQFo20ZQzf9quNTq3CL+w2fmG3RWXQl9dClS5gykG1bijjtTtYP7oZ1dzsSM7KY+LGS3RZHEKSk5gV6eUQDkBYYuYTaWTKSgHAxsEVnabox1SmwcQ3uy6zePsheqtEqfPLNk047zaTeqkHQKWB3j8/kTHxNFwPTwOKDgJFB4ES5fEQlCgPhacFWZaZseMyfx2/wHuaTQzWHEVLfnlutR7MhckVttaeR9/WDUCtEwmqsm/D7WvCsLhxFDJuFbSNsLhRutc0bBsPIdcsM+/gNRYeuY7ZIlPNzY6lrzcpjK7wmwO+X4BHI8ZZz2J3UBztqpVm+YgmRT9E4oLgt85gyoHePzP9VhOWHY+gXgUntr7VUrQ1G+Gv9wuMG7w7Yew5h6WBJhYcDictx8hEzZ+8pdnORnNbJhjH8kXvmrze6jGRFhYzxhnuaGUD31ZZyyfDepJpMOEfnsRfAbfYGxyHwWRhnnYuvdUnhbYqLZLFKEJjByyDSm3+x3dLQaHkUtznZokxKJKTk3F2dv6vu/OfYTabCQsLo0qVKqjV6sfv8JzyX+kgyzJfbAtEPvMbEzTrC1Nll28qMlFWbIllQQtUxmxG533A5x9PfHiIpSzDdKf7t5etKyIxyjXg1PUk3v7jAokZBso5WrH6zWZULm0HmYkwuwZYjJxpuYihRxwwmmVmD6pH/4blix7Pfz7s/RSsHEkacZwW84LIM1nY8lZLGng6F/bl/ErYPVEU6NLaQNsJZNQfxapzCYQd28Bs87eEWCrSI0/kp+hcoww13R3wKeuAu5MVpe302Ok1SJLwi8iIC8NrdUsMsoamrKZqWUcuRqdiusv/oql0mfX6GUX7W72XmJmwLfXE74tyXwgUHQSKDoKUlBRcXFyUsNGH8ZzbTY9FlmViY2MVHf4DHWRZ5vutJ2lz7l2+1K7AQcohr0w9DMP+gpH7oP5QuLgWlTGbIIsX8eU6PzpfgySBk8hQOdn+a74zvoxRaw9xl8SswuFvaeblxPa3W+Fd2pZbabkMXnySmynZYFca6g4GwPvyr7zToQoAX2wPJiopu+h5mo4B93qQm4br+V/oXbccAKtORhbtS6PXYPQREeppzIYDX2K/sCFvqbfz/WudAfCS4pAQnuO+lxOYezCM8WvP03/BCdp8f4gGM/ZT/8v9NPrKl6+XbgREGu00g4WzkSmYLDKeLjZUsLUwWv1XUWPCoTy89LtIp/03jIk7741yXyg63EHRQVDc8SuptxUU/mFMZgunbyRz8EoCF6JTiYu8ykrdt3irYzHIWr42DWV1VBcsv2Xg5XqY2uXs+TZ6JXbAIlMvWlZ5goeiWmSgdHeyZXbii7g0HMmojPkQshUOfwOxAbj3X8z6MS0YuuQUofEZjFh2ho3jWuLYbiLypXW4pFxkrPs1DlZw4mJ0KqNWnmXTWy2x0+d/LKg10Hk6rOoLZ5fy2kuvsuk87A+OJ89kKerbUKY6jNgNl9bDwa8gLQoOTEeTH61hIxmoLMVSyqsO3WqVJTQug6sJGSSkG7idacBgKgxTa6q6AsA5SzXebF2JOq4WWqlDMAetxiHSF2vtXeXWW7wNHT4D3SMMMAUFhX8FxaBQUPiHiEvLZYV/BOvORJOcJR565aVENuinU05K5qZcik91kwnVe6HJMpJnthCRlI1b8jns9LGkyzbsszSmZ3ouJrNFFNN6GLZlICmM+s65AByOsTDqzRUQ8KcouhW6C5b3xPXVbSx/owl95x/nWkImkzdfYv7QhshNRiGdWoB278csGn6UXosvEhqfwZhVZ/n9tSZYafOneyu3B8+WEHWCOrc2U9q+BYkZBk5eT6JttdJF+yRJUG8w1O4PgRvB/xeIDyp4+YD+Y2LTa+Ke3AQq1II6nmBbGlnvgAUJZAtyTgqaZbsAGKw7jubmGDgbCOR/Y7rbV2zwaqjR+394xxQUFP5JSoxBoVKVmNWdB6JSqfDy8lJ0+H/QIT3XyPyDYSw7HkFefnltZxstfavpeevyOEpLaWRjRelRW1hZrhao1MiyTHJWHpdjM7A+ug+iYb+lIQZ0bD4fw/nIFCb3qEHXmm4P9rh28oSoE9S0TgU8ORuRQqbBhF29l8G1CqwdDLEBsKof7q9uY/Hwxrz06wl2Bcax4exNBnT4FGPwNrTpMbgd/YQlw2fxym+nOB6WxKiVZ1k4rBG2eo0wEpqNgagTSBdX08WnJ2vPxnLsWuL9BsUd1FqoP0T8xAXCwtYFL7lnhcD5kCLNJYrW77qDxpIrlnGAaxYP0rClsUqUKaf1B/+IMaHcFwJFB4Gig6C44y8xqikXiHKjwD+vw9GriXT68QiLjl6nlDmBT8qcxL/qWs67TGXalRcpLYl8Cjbkov+tDXxdFuY3Q9o4AtfLq2ntmk4jWTxg/S21ANBrVEQkZTNm1TmG/36a2LQH5G4o7QOAa8ZlKpWyxWCysCcoTrxWvjG89hfYuIoqoxtHUs/Dno+6in2+2hlCqlmPduBvIKkhcAP1Y9ay/I2m2OjUHLt2mwEL/QtzRvj0ENETmXH0sAkFIOBm2pMJVLaOCEEF3sl7mzONfoA2E8Cnp6gd4ugJekewckS2ciyyq7H1x6yu8CVNc+fzvnE8NbWx+f3pCR0/f7LzPwblvhAoOggUHQSKQfEYzGbzf92F/xSz2cylS5cUHf4hHWRZ5oe9oYxY6k+LrINssZ3JCat3GZs+F/foHUi3rxTdQaXN70AeJF6B4C2w80OY2wBuitTUIZaKSBKcm9qFtztUQa8RuR+6/3SM/SH31MGo0AwAKeoU/eoLZ8n1d1f0dKsJwzaDxhrC9sPBrxjdtjLVy9qTnmvix71XuJRmh6VLvnPj3s9oku7L6jebUcpOz+XYdF6c58fe4DjQ6KC6KH1eO1uEaQbFpD1x1ktMIhz2hlwWS63+0GkqDFkrypd/EAiTo+CTKPb2PEGURcx6BDX6im4BrZlyrQplVKlssv0OG3MGlG8C/RfDP/SBr9wXAkUHgaKDoLjjLzEGheK1K5OcnKzo8A/oYDJb+GjdRSKPrMRXN4G5uvk0MAcBknjQN3q9oO2XxuFceCMCPr8NUxLhvQAYtkk4ElZsXeS4a3QzeVO9CzuViQndfNj9XhvqlnckLcfI6FVn+d3vRmFjj4agsYLMOIZWTEOrljgdkczZiLuKdJWrD31+EX/7zUF98xRfvChmQdafu8m1mNtYmoyGJm8CMmwZS8OUvWx7uxU13R1IyspjzKpzvP/nBVI8OgDgGHMYlQTZeWaSsu5yjnwEskEks8pBT/WyDw5ByzKYOPzXajxViaTKtgw47sH1xCwG2F1im83XWJnSwKOx0E5v90TnfaK+KfcFoOhwB0UHQXHHX2IMCgWFf4Jco5lJS3fSN/gd5ul+oZIqHqxdoP2n8H6gCAO1iOyUFy3enCw9kPoVnMTOGh04e0GVztBuIozYKTJO5uMsZfKZZjWWX1tBxHEql7Zj07iWDGvuiSzDjB0h/Ox7TTTWWkPVrgCUitjBgEYih8Ts/VeLfhjUGQD1XwFk2PoWzT3taFbJBaNZZl+EUfhIvDBLtJHNsGUMHgHz2PJWC8a19y5Ip915i/jGIqVEUNVOOII+cCnmXgwZSAaxPKJz9sDRRvvAZh9vuMiQXJFG+09zR4xoWFjhALNM36E2ZQvn0OGbRXpwBQWFpxLFoFBQeAgWi8y5yBR+9r3G8N9P0XzmAUZN+54pN8fSVh2IQdYy2ziAVoafeelyG2aeyOT4+QDkgD8BMTvRu375R6ex1dkCILtW5VPTaBJkJ1TJYbC8Bxz8Cq0kM6NPbSZ1rw7AHN+rLL0zU1G7v/gd8Advta6ATqPiRHgSOwNji56j20xR7js5HM78ztj23gD43TKRZ7KI5YMXfxGFvwAOfY1+/RAmtXZl81utaFzRmSSjFTcsovx56Sxh1CSkG3gsqWIZJkW2o0ZFjyIv5RrN+IbEU+2z3RCyjXqq62TKVoS7tifA8ye6J/6OhAyNR8IrGxVjQkHhKUeJ8ighqFQqfHx8FB2eQIfEDAOrTkay6dzNIsWsBqiP8J12MWpJJsBSmQ9N4wm3uEM2xESmcC4yBSfNn7TSmDhpqcF5uRpfPSwS4g4msWwg6Ww45vACO5KbsL/2ftzC1sPRWRAbgDRgGePae2MyW/hx/1Vm7AzBu4wd7ar3AvtykHGLCjG7eKt9E37yvcYX20NoVsmV0vZ6cQ5rJ+jwKfz1LhydRdt3h+HmoCc+3cCxsCS61XYXRkXXGcKBcvckuLYPfm1B/S5fsmHMYPaGJBK7vQqV8uKpKt3Ejzq8ufIs/Rt40NjLhfoVnKhUyhZr3T3xGnGBAFyX3Wns5cLpG8kERKdyOiIZv2u3yTGasSGXT/VipsZOyuX7zE+R0gygd4Aes0Qirv+n2grKfSFQdBAoOgiKO/4Sk3pbqeWh8DgyDSbmHbzGihMR5BpF+Ke9lYa2VUszUHWI9qFfAnDWuQeN31qGrNGTlWcmMimL0LgMzly/zQdB/ShDMmPz3mePpSkdq5fh424+1HB/yLUX4QfLe4JrFcY4LWJvcDxTetbgTYczwgAw5YoMlEPXI+vt+XRLEH+cjsLZRsuu99rgHrgIfKeBU0Vyx/jz4sKzXI3PpE3VUiwf0RS1Kv9BbDbBgmaQFAYvzOKrxNb85neDvvXL8dPLDYr2KT4ENo2EhPzwznINof1k5DBfpNOL+NXUm+9MQx44nDL2elxsddjqNWhUEr1j5jBMtZffTS8wwzT8gfvM0ixkoOZo0Y2V2opZE+eKj3/jFBQU/lGK+9wsMWaYyWR6fKPnGJPJxJkzZxQdHqLDodAEusw+wqIj13E2JjKhlD+Hq28lwGMW8691KDAmABpZAmF1f6Qd72N3eT21rFPp37A83zQ3U4ZkDCprDlnqA3DwSgK95vnxze7L5OQ9wHPaOr8mRk4Kdcs7AXA2IkUkiHp9pwipjPKHtYORzHlM612TOh6OpGQbmbo1CLnJm2DvDqmRWJ1dxPyhDbHSqjh27TYzdoQU+lOoNdBsrPj79GLaVRHn9b+edL8DlltNGH1YZMnU2cGt87B2INLpRQA0tBbhqaPbVuadjlVoUdkVeysx2ZmQYeBKXAbnIlM4dSOZRgij5KJFLLOUdbCiWy03xrWrTEN1OId0HxQ1Jpy9RMKqV7f/K8aEcl8IFB0Eig6C4o6/xCx5KEBWVtZ/3YWngrt1MFtkfvK9yrKDl+in9mO49RGqyTcgE/HzAKS0aFFSPPI4nFsuNpZrCCkRAMS4tsSQraNeeUfKOVmzOyiORUeucyQ0kYXDGuFVyrbwYI75Bbmyk2hbQcss4Ni1RAwmM/ryjeG17bDiRYg6AdvfwarfIn4cVI+ec4/hezmBvdcq0L3zF7BlDBz+lqo+PZg1oB7v/HGB5ScicLHV8U7HKsKPo97LotJo0jUaaq6jliA+3UBkUnbRPoEoUd76fag3BE7MFePME4I0M55hlXYmVSw9ca/RGdrVBr0dqdl5RCZlk55rJMtgIu92BDUOR2OSVTTr/BLf17TD+nYgOVc2kX56P5O0CUXP2Wc+1Bkozv0votwXAkUHgaJD8VEMCoUSi9Fs4ZM/T1I2ZBkn9H+JCqAyIKlEFVDP5nD8JwCSZHs+L/UTvwxtiJSVKAyK2ACIPgU3z4hv8fl43j6KAy9Tr0JFvuxTm/0h8UzeHMiVuAx6/+LH4uGNaeHtKhpbOYKDB6THUEtzq8C34ejV23Sp6SZCPwcth9UD4NI6qNCMak1GMrptZeYfCmfW3it0eX8Q6sANEOYLm96k98h9xPeswVc7LzN7/1UyDSYmv1AdSW8vIkOCN2N9fS+eDi24kWbhSlz6/QbFHezdoNvX0HYCLGoHqaIwWBt1EJwNgrPfiXaOnjg5lMPJxhX09iBbIHA9ABrJwiv+vZCOig9q6/yfInwWJyJXFBQUnllKzJKHQsnGYpEJS8hky4UYNl3LY8LGQEZM/Z4Prw7jY60oJ55iW5nIptPIfu8KjNwLbrUByEHHwLxp9O3UBsm1Mng2E+GYXWeIMNGPrkKPHwrOpZGNHNB/RJO0vSDLdKnpxs53W9PQ04mMXBOvLzvNkauJhZ0rWxcA1c1T9KkvIiFW313R07sjdJku/t43BZLCGdPOG0drLeGJWewIjBXf7m1cIT4Qto7jzVZeTOlZA4DFR6/z1przpOcaCxJUSdf2UtZW+Fdcv/0E38isnUUKbuCSpRJfW15Hrt5TZNAEUQws+iSE7oRLfxYYE3eQjFmYVTqC5Mr8YepQ+IKdG7wfpBgTCgrPASXGoCjJte1BjL9u3bolSgdZljl9I5lPtwTSdOYBOs8+wsebgtgZbqBG0CxW677BQ0oi2lKad/PG0zDpS9od9aH+rPOMXHqczN3TAPjF2Jd0Wy86+DwkYsOutEgOpRITfkaVFaWldHpf/xI2vAa5abg5WLF2VHM6VS+DwWRh1MqznI9KEftXbi9+hx/glWaeSBIcuZrI1fiMwnM0Hw9ebUR58N0TcbDSMrJ1JQCWn4gA+7IwaJXIyBmyFfZ8wputKzFrQF20aondQXH0nudHgK6eOF5iKE087QGITr6nbPnDyLoNiCqgp8sMRHp5LXwcBhNvwIg9MHAF9JoDXb4kxKEwaVdSjyV8Vm4p1bJ/Z5hhEo1t87N+WjnB8K3gVOHJzv//QEm8Lx6EooNA0UFQ3PGXGIPikbkASgCSJOHi4lIidJBlmd2BsfT+xY9Bi/xZeyqK25kGrLQqWlW0ZqX1bMZodgKw16Y3Bzpuw731cDrXdKesgxV5ZgvO4duwy4khQXZiqbk7zSq5Prr6Z05KQUKrZS33871xMCY0ELINFreH5BtYadX8OqwRHauXIc9kYfTKs9xMyYaqXcQxIo5TUZ9Ft5plAZi1N7Tw+CoV9P5ZGAxhvnDNlyFNPdGoJC5EpXIlLh28WhVmxjy9CHZ+xMCGHqwf0wIPJ2sik7Lps+wqyVp3JGRqqkSOiPTcJ3TAyhQ+D0myAw08nQu327hAxRZQqy80foNz5YeTlCqSWR2w6UHbHQ6suW6FpzqFgy7fUNUQIpZ6hm0SDqD/ISXpvngUig4CRQdBccdfYgwKxWvXhJ+f33OvQ1hCBoMXnWTcmvMExaRTQZvGZz632Nf2BsHtzrEmvh+tZeHvEOTanW6jvuL1djWZ3KMGS15tjP/kjvh+2JYJLscBWGbqTg5W7AyMZdGRcEz51UTvw5yfhlpS4VbKlQXmPkx1+VEUv0q+Dku7QVwQOo2KeUMaUMPdgduZeXyw7iJm58oirbRshoA/mdCtGioJ9ofEczzsduE5XL0Llh04/A2l7XR0rF4GgJ2X8pNZ1XtZLH8gwdnf4Y+XaVBGxc53WzOosXAAPZ0rfp8/6w9A5pMaFLdFpc9I2Y2Wd3xA7iEtx8gPS1bSRhWIUVYzLaUrWXlmxrhdxtd2Ki7ZEcJn5I29oojZf0xJuS8eh6KDQNFBUNzxlxiDQuH5NqpkWWbVyUhenHsEfdRhvtP9xiWHDzmmHseoyAlUO/0Zar9ZRfapnbQHfq4H31eC9a/CpfVIhgyqSLcomxGErNKy3tyuoP03u68wcJE/kUkP8DmQ8m8l2UKlfAfHfWkeyCP3CV+MzHhY1ReSb2Cr17B4eCNsdWrORKSw5Nh1aDBM7H96CVVc9AxrLkImJ226RJbhrvet1fug1kPMWYg+JRw3gcOhd/lkNBgGL/0man1c2wuLO+CUFMD3A+qxbnRzDLaimJiLJQkQyyu7AmPJyDU+SmDM8SIENEzypFnlogZFpsHEtosxNJi+h89UywDYYG6Lk3MpjtTYzuS0Gajz0sCjEYzcD2VqPPxc/zLP833xd1B0ECg6FB8lykPhmcdskfl6y1lU55exT7OX8pr8b/V5iAe9a1W4Xbh8cN1SFmfPWjibEiHhsliuCNkmfnR2BeGR2R6tSLrmiK1OzRcv1uLLHSFciEql11w/Fg5vRKsqpQo7obUp+LOaE+jUKpKy8ojMc8Dr9Z2wvJdwmFz9Eow6QAUXZ6b1rsXETZf42fca/d7vi5vdN8K5MeAPJnV/hYNXEriZksPkzYH8/HJ9MQ1pV1rkqDi/Es4upV2XuQAExqSRkpWHs61OdKLOADGj8ecwkXJ7aVdo/hbN2k1Ebt0IfLfhJhUWEntrzXk0KomGFZ2pX8GJWuUcqFTKFjcHK1xsdWhuX0ZtzCRH1qFzq8b1xEzCEjK5Gp/B6YgUgmLSMFtkXlPvp7YqggzZmnr1mzIk4iOkG/k+Ey3ehk7TRE0TBQWF5w7FoFB4ZkjPNXLqejLnIlMIS8ggOjmH1GwDLbMOMEn7J2W1wskxW+NIcsUeODfsh22VlmLJYXEHkM18YnyTUNcubHi9M2g0IvV13CUI3S2cGZPCCs5nHXMcB16hnEtZBjauQMsqpXjvjwucjUzhtaWn+XFQvYKoDPR2IlW0IR2rnATqV3DidEQyJ8KT8GrmCcM2wm9dxMN9+zswaBUDG5fnzzNRnI9K5cdDUXzf6j3Y+ykc+hrbWn2ZPag+Q5ecZHvALWqWc2BsO5EcivrDhEFxZRdles+loqsNkUnZhMSmFzVyyjWAscdgz2QReeH/C1xci2TtBIC3nQny/UIrlbLlxu0sTt9I5vSNuyqW5vOGejefa+G0pToBt7Lpt+DEfW2qSDf5VLMGAHsph1pB+SGlrlWh549Qud19+ygoKDw/lJglD8VrV02TJk2eOR2MZgs7L8Xy+rLTNPhyP6NWnmXhkXB8LyeQGB/DV7kzmaP7lbJSClGW0kwyjqJB5s+0Du5N3TVm3lwbTOq6sSCb2WVpzp/mjnzU4y4vbo1OrOV3mgpvn4VhmwvOrbIY2aefSCtJ1KPwcLJmzahm9K5XDpNF5oN1F9kTFFfYWcf8aIWkMNpUFQ/23UH5vg32ZWHQCuFUefkvOL8CSZKY0ks4JW4+H8Otqq+AaxWxPHLgS5pWcuHz3uL1b3dfYc2p/FDS8k3AoTzkZUD4QWrklwQPuZV+v4A2LtB/EQxdLx7sOcnCwALq5pyihhTJux2rcGhCe4583J5v+9dhePOKNKrojJuDviB1dwfVBQD8LCKUtqyDFa2quPJqi4pULmVLDSkSX/1E9NJd08VWjtBxKow7/tQaE8/qffFPo+ggUHQQFHf8ygxFCUKv/3czEP4vmC0ym8/fZN7BMKLuCmusXMqW5t6uNLeNo/WpqbiYEzHIGvwrjELVcjw1U81IsemcupHMjdtZ2F3bhpMuhDTZhml5r1K5tC3NvB8S/ilJ4Far4N9sa3fK5sQyNeVTOJgKHT5Fr1Hz8+D6WGlUbDh3k3f/uMAfo5vTqKKzSEKVEAy3zvNi/Xb8uP8qx8NuE5+ei5uDFXg0hE6fw/6psH8aVO9NQ09Xmld24eT1ZFaciWVyz9mw8kU48xt4d2J48xe4mZLD4qPX+WxLEGaLzKstvKBaVzi7FCL8qFLmNQiG6JRHhH9W6wbeneDiGlEjJJ/d+slkXiwPpp5U9GxGxaqNoXFNEVWS/z6kxkfhtCgYgLLNBnKjV3uktChM0efwP7KHEelHqKSPL3q+9p9C87HPRIXQZ+m++P9E0UGg6FB8SswMhdn8gDoKJQiz2Yyfn98zoUNoXAYv/XqCjzdewpwcyVDr06ypcpDAeps5WH4JM6/04MUTA3AxC0fEwMpv0n7w+7StWYHXWnrx7Ut1OTShPb7vt2aqgwgPXWTqTSJOXE/MYsXOow/XIS1G/HYoz7Guu1ht6iT+P/q9SG9tykOlkvimfx261nQjz2zh7bXnSco0CIdDgEh/Krra0sTLGYsMK05EFB6/+VvCSTM3FQ59DcAbrUQ+iU3nYjB7tRVtALaORUoKY/IL1Xm9pRcAn28L5ovtwZjLNxdtok5Qyk74JCRl5j1aWLUGGr0GHaYUbMqVtdhl3xRhphvfgJ/rwtdl4ZcmsKwn6j8G47qoLmpEvY8REROQZrrDz/XQbH6DNknrqaS6y5hoNhamJEL7Sc+EMfEs3Rf/nyg6CBQdBMUdf4kxKBSeDdafjeajX9bSPfZXjunf57jVe8yUf6LVzd+wD90IV3aAoejUfuMbC+FHH1jQEg5+VVBTo0rGGVxzI5GtnFhh7lrQ/uuTucw9GIbF8oBCuzn5TgU2zjg7OTHFNJLvdeNBUovU11tGg8WMRq1i9uD6VC5tS2xaLpM3B0KVfOMj6gRkJfFmm8oArPKPJC07P4JCrYHu34q/L6yC9Fg6VC+Do7WW25kG4b/QebpY1shNg1X9kTLimNa7JhO7+wAikdXbR/OnJOODcbYRE43JWY8xKArGKHwkFpp60dLyG6YBK6DpGOFzodKA2SBCRCP9RJTIXaiSw8GUixE1gRavoscdsBRe+E5xulRQKKEoSx4K/yoWi0xIbDoXo0Uypri0XBIz8zBbLNjcOsXbmq3s0AQWtJclNVK5+lCmpnB6PDm/4LVFlr4Mr6nBJiUU4oPEckNCMBydBVW6FPgKZPq8RNYpkdr5xbrubL8Uy9yD4QTfymDe0AbY6O66DYz5IaFaW9wcxNTn79lt+GhYG9Trh0PwFpGGutcc7PQa5g9tSO95fuwLiWd/4wp0casjojkub6NLwxFUc7PjanwmPx24yrTe+cspldqAZ0theJycj7brV3Sr5cb6szfxvRwv6ny8/IeIzEi+DitfRBq+hbfaV6FyKVs+3nCJfbd0GPVqtOY8NFnCj0PmAQbSg7h9DRD5JKpVcENTuwXU7iteM5tEnZKUCOScFK7umINP7iUAotv+yNJAE75xOpJkR35xWgu5EYAkMmTWfunJzq+goPBcosxQKPwrBMWkMXVrEM2+OUCveX5M2RrE6pNR+F5OIC76OmMTZrBeP4O26kBMsoo95iaMyXufVixjgtMcTtf5Ajk/9DNSVYG6uUvIazcFm5d/h3F+8HE49F8i6l4AhO0XERXAdfsmAFQva8/sQXUZWVuHTqPiwJUEXl92hsy78zyo89dPzXmUd7bBRqfGYLJww6U1vLREhKGeXSqiLIAa7g4FMxEzdoRgrjtY7H/6N1QSTOkpnCpX+kcSfCut8Dyt8v0YLv4BZmNBdMbZyPwZErvSMHyLSAJ1+6qIEIkPpnttd/Z80JZm3mW4KYt9Vuw8AoDB9JCkW/eSr2O4pRydatzjT6LWgEsl8O7AH2m1sMsRS0ALta/SZp87y2IrIGn0HCw9h465vkKPfguh8YgnO7eCgsJzS4kxKBSvXTWtW7f+13U4F5nMy4v96TXPj1UnI0nMMGCn19CmainGtfdmeaskfK0/oZf6FGZZYo/VCyxrtJl1lWdyUt+KWzkaNp67yebfv0EK88Uo6RiV8zYWvSOv5vsVAGDrCnUHiYfwO+fBufC16qcm0kvlT3lna9RqNZNf7sAfbzbDXq/h9I1kRi4/Q96dh/GdIlV5mahVEtXLinoXF6JSoVY/6PCZeH3nBJHDAni3UxVK2emISs5mu9QBNNZipiT8IG2rleaF2mUxW2Te+/MiOXn5a5NVOovCWtm3IewAjb1cAAiOSSPXmN/G2UtklCzlAxm3YEknuLAaD0crVo9shqOLMAbspeyCPn6z+zJBMWnI8kNmKzLiIDUKiyxxRa5A99rlHthsV2Ast3bNwkNKIkZ2ZU5GRyQJplQO45D955TNCBQ+EkM3iOyczyj/1X3xtKHoIFB0EChRHgqPxWAwYGNj8/iG/wApWXlM2x7M9oAYvKQ4eqhv8oJ7BvVdTZSzMooL9uTKgvbJsh0nWv5Or27dARgFmMwWzkSksO/cFd4JXgfAt3mDuCpXoI2nE47W2gef3NUbGr4KB74EQG9M5xfdPA6mJ4GlAQaDgYYVnVkzqhlDl5zi1I1kPtsSyPcD6iI5irTUpN0EWaaldynOR6Vy5GoiAxtXgNYfQtRJMQPy1/swYjc2Og2j2lTmm91XmOd/m76NXkM6tRAOTIfKHfiqb+383BmZfLYlkB8H1UNSa4WBcnoxXN2Dh093HKw0pOeaiErOppqbMGRwqgBv7IGNI+D6Ydg2Hq7uRdX9W1ycnCEVXHUmyBXNFx25zqIj1/F0saFFZVeaVHKhhrs9lUvZYa1TQ4QfACFyRXwqelDe2Rqj2UJMSg7Bt9K5FJPK8uMReJqj2KHbCsAs8xCG1bHlfctK7MP/EicqUwsGrxJaP+P8m/fF04yig0DRofiUmBkKxWvXzJkzZ/5RHbLzTMSl5d633T/sNp/M/pUWwdM5oX+Hw/qPWKCdQ+/bv1EhdDnqgDUFSwZ3cJEy6RX0AWx/F24cA4sFjVpFC29XppU6hIuUQaJVpQLnymPXbrP6ZOTDv4nn+wnQfjJnyr8OQMektcibRnL21EnMZjN1yzvxy9AGqCTYcO4mG87dFLkkJJWo6pkRR4f8WhlHriaKmQOVCnr/BFpbUa47YC0ArzSviLVWzfXELAIqvQk6e4gNgItrcLXT89Pg+qhVEpsvxDDHN79v3vlOnNcPA+DpKj7EopLuCf+0cYFhW0ROB0kNl7eLKIyIYwDU8xB5KGq4O/BC7bLoNSqikrNZdzaaCRsC6DnXjxqf76HRjP3s2SJ097fU5ExkGs1mHqDalN20/+Ew49eeZ9GR61hMefyo/RW9ZCTOvjbftJSYemO4MCYkNbT5CEYfei6Mif+P++JZRNFBoOggUKI8FP7fkWWZwJtpfLv7Cn1+8aP2tL18tqXQgRKLmVNb51NmVRsWmT9niOYQ5aRk4ZdQrgHUGwKt3hPOlXdxRVUVWaUR0/rnV8CKXvBLI2F05KTCmd8BSG7ykajgmc+UrUFM2nTpwQW78h0yKVWNc1Xf5d288ZjQoArZSvUrc8Aibpj2PmWY0E1ET3z5Vwg3M0xQurrYN+YsDSo44eFkTUauiV2B+UmqHMtDu4ni7yPfgdmInV5Dz7ruAKwLyS18fe9nkBZDyyql+LqvSAo198A15h8KQ67YUjygU25AeizujmK5JTb9fiMNlQraToAxR6BCs0LnUaBF3CrKSwm816kKvw5rxLmpXVj6emPGtKtM44rOONmImZzMrExam08BsNvcFICEDAOyDDrNnY8CmS81y6irugFA2YwgrE/PA1MuVGwNow6IXBoaJVZfQUGhKMqSh8JjMZotbLkQw2/HrnM1PrPIa/EZ+Q+/qJOkrn+LZpnhIIFBskJddwCaOv2gYqtC34SQbXD8ZwCmm15lmak7G8e2QCpnBVH+IooiZLswCLa/I34AnCqyX24ChNOzrjv1yzvxze7LrD97k9uZefw6rCF6zV3rftmi8BV2bthmathuaUU1t7KMT5yOW8IxLIdmQLevABjT1psDlxM4F5nC1zsv82uFZpAQApEnUNXozZCmFfhh31VWnIigXwMPUVOj6WiRyjo1SoSTNhhG73rl2HjuJodDE5D7vIUUshVizon8Dq/9xctNPUnIMDB7/1Vm7Q0lLcfIZJfKSEnXIPEKtjonAAzGR3w7KFsHRuyBoI2weRQAlc0R+OnfJ9e/JaT3xK5qFzr6VKNjdbeC3ZKz8kg+uQa7Y7nclEtRrlYbulin0aJJA8q72HL6WixrNm9lgeo7HKV7Zkjc64lEVdW6ieRfCgoKCg9AmaEoQWg0f99+PHA5no4/Hmbixktcjc9Ep1HRs647swfV4/gnHdnxVgvYNwV5aXecMsNJke04WH4c2onX0PSbL5wP7xgTaTFiSQM45DyAZabudK3pJhwSdTYij0OfX+DDEOj6FdgVPhBJjSQsVhT9alDBiVFtK7NoeGOstCoOXkkQZcDvzithzBG/dTaUdxbn32Goj+XFBQCo/OdB0CYA1CqJmf3qoJJgd1Ac4fb5Caqu7ARZZnATT6y0KgJupnEoNKHguLQYL/4+K6prNqvkgl6jIjYtl2u3c6DfYjEbE30Sdn8Mssy7naryWQ9RaXPx0euczRZLKiRewUorDKICx82HoVKJEE2VeD9vWNywIGEVcwL2fQbzm4oKqit6w66J4DcHl2ubqHLsfSGN2oY5VS7QI2sLtU5PImdBezptbcwa9bSixkTNPsJ4GX0EfLo/t8ZEce6L5xFFB4GiQ/EpMQZFSb9INBoNrVu3fmId0nONjF97npErzhKdnEMpOz2f9qjO2SmdmT+0If0blsdDlyNKcp+Yh4TMBlNbFtbdQIeR36Cydrj/oDs+gNxUjGUb8FZCHwDe7VT1/nZ6O2j5Dow5WmTzhxHjqCTF4ukifA261HTjt1eboFVL7AqM49vdlwsby3eWQSQq5rePSMpCrjNQlAC/058MkcPBp6w9AxuJWhzfhXuK6qGpkRBzntL2el7Ljyj5bncoxjtLLPVfEQ/1mLOQcBkrrZr6FZwAuHQzDUpVEWXEkeDccuEkKsuMaluZnwbXx0qr4lKG0On6jfCCsE+99gluy/RbYDFhljR0zvuBb6qug24zoXIHUOtEgq4bR0UGTN8vYOvYgl0rWaLQ7plAxeur0Aatp0J2CHrprtLlVo7wSTQMWgkVWzy3hgT8/fvieUXRQaDoICju+EuMQfFQ570SgizLJCcnP5EOYQkZvDjPj52XYlGrJMa0rczRie0Z3dYbB6v8yIrsZFFzIuIYOVgxNu99tnlNYWK/FmJJ4F7CD4qsiyotWyp+To5ZTb0KTtT2eER65juOlQB2ZfE0R7FBNx0v0/WCza2rlmL2oPoALDl2A9+Q/DTQ+vwoCUMGFV1tsbfSkGu0EBKbTnKD8cju9UUmyp0fFRzrrQ7eSBLsu5ZJRiURbcKZJQCMbeuNs42W0PgMFh/NP79dGZFAC8RsBsIxEuBybH42z2rdoMcs8bffbBH5YbHQt4EHW8e3QrJxBuBkcBhbLoicD/ZWD4leuZvYiwBEUA4zahrUrStmTF7dCpNvilmFF+dB6w/IrTGgyK5Z7s24YNOS9aZ2/GAcSJhUsfDFhq/BxAiweoBB+Bzyd+6L5xlFB4Gig6C44y8xBoXitWvm0qVLj9Uh8GYaAxf6E5GUTTlHKzaObcHkHjWKZpM0ZMLKPhAXSLbWhX6GLzhr04afXq5fUJ2yCLIMvtPF301HsSlKLEH0b+Dx6E7HnBO/a/aBMUe5TCVKSel473wZ4kMKmvWuV66gHsbHGwNIycoT2SwBshJRqyQaVxT/nwi7zaWgEMy95wmHyCs7IFKU4q7oakun/KiOTdqe+YJshLQYnG11TM2vDPqz7zUu3UwVr1fNNyjCfAEx0wEQnniXr0nTUWL2AMBvDmx6A4w5VC/rwPB2wlHTXip0xJyyNYgzEY/5UIs6CcBJY1UcrbV0zO83IBwmy9WHhq9iaD+VhbFiFihL1vOW+x/UuvEe/ZLf5ivTMLqVTqKKnF/FtMXb0OungsJgJYEnvS+edxQdBIoOAiXKQ+F/Jiwhg1d+O0lKtpG65R3Z8W4bGng6F21kscDWcf/X3pnHRV3nf/z5nRkYBYQBBEXEYzzQPFIEj9Q1FbotK8wuO7aEjl9t22Vtu2tttabblm277Ypt92VYdmxmiZZXmsh4H6ig4oEXzIByz8z398cHRkAGFE2NeT8fj3nM8OH7/c738/p+Zr7v+XzeBxzcgLt1ODeVP8M2vRPPXN2LtkFePP/3rla/qE2tOD7kEbKqs0GOjo1sePsaqjNdEtkH2rTjHv5MlrsHxsoi+HACFOd7Nn3qyl7EtmuDvbSKGd9lQ1h1SGPBTgB+01Mlgfpuc/UMRuRFKlcFePJVAFw/UOWheHt3uIrCcFfBD3+t/l80SdUFwe7/wKZqZ9TU79i7GqrKiajW4KS6GsMehOv+pcqXb56nklQd3ISfppY5RvU+kWDK5daZ8J+VJL26lJkZ29m4r+jkuiO5KjtmpjuW8QM6ePwvalNe5WLc9C+5za7Slc9yjmP+LnWcR7odYmXwH+jnWKwMq2tmwuUv+pQxIQjC2UW+PQQACo5XcPc7mRSXO4nrZOHDe4cQFthAkafVaSoPgsGPD7tOY1NVFAM7WRg/oJHZhsw31XO/CWxxWEOsMQAAM79JREFU+OF063QIaeXJu+CV4gPqOUQdWzeH8NvKJygP6QbF+yD9TlV7AhX2+Hx1WOYnmXkcaV09jX9Ild2+ul8UmgZr9zo4XFrtAzHqSeVvkLfSMxtyaWwEZpOBPQWl7I2borZb9yHst6FpGn+/6WK6hAew31HGPe9mcrx1NLQOA90FR7YR1ljlz4G3qyWJwAiVSTPtUo8x4+d3QuvrBnSgtZ+RnYePMzNjB+P+uZyBzy9k0n9/5qVvt/Hl4uVwSKUo/9F9MYO6hLEyp4DvNh/kreW7+POXm7jx3z/R60/f8nD5LCK0YrLdHfnAdD0PxQeysf9cHtn/ewIrj6CHdlXZOCV1tiAIZ8gFb1DYbDZsNhsAubm5ntfC6RMYGNhgu67rPDl3A3sLy+gcHsDsO+IbXse371Y+AEBF4gvM2GwB4IFLuzfsNwHgrITtC9TruDvIPnQMgF5Rp7BGXxP6GaBqVoQF+lNEEGtHzFKJo/b+DCte9Ww+uGsYV/Ztj67DJ/kqJwR7VoCuExncipE91CzFj9V2CsEd4KLx6nV1rotAs4m46lmZ5eVW6DcB0NWsTFUZwa38mH1HPJYAP9bmObj3vTW4ItVSCIc2429UHylXQ5VMAbqMgPtXQuzVavbDpQwPw44F+FNF76hgXrt5IKufGcuMG/tzeZ92BPgbKSqrYtmOo/xnSQ7Zi94FVHIqB214+OO13DJ7FanvZ/GX/23hvZV7yNpj5y7jd1xjXIVTN1Ay4ml+HrKCx7Jvpc32z9HROBxzFa57f4CYhKavRQvG2+fC1xAdFKJD87ngDYpZs2YxaNAgNE0jNTUVq9XarOOI166JhISEBnVIX7OPRdsO4280MGvSIMK9LV1894zKINl5BAtaX82xCiedwwM8fgcNsmeFKjceGAnR8eQVqIRM1ran8KGtidSoDo/sYFG+F1sr2sLVL6v//fgSHN3p2eXB0d0BeGOHBd3UGkqOqEqkwL0jlJ/Fj3mVFJVXrxHG/1Y9b/kKnBWqqYsyKGx5drhiujr3I9vg+z8C0KNdG969ezBBZhOrcgtZlF8dFnvsgMeQaNCXpIagCLj5Q0h+29NkrrSz3Pw7nmz1BRTuok0rP25KiGHWpHjW/jmJr/5vOC9e35c7h0Rzu2kRAF+6hwMQ2caMNSKQi2MsxHWyAHCJYRPP+qmsmCbNTdyqR/Bb/YZKiNVxMNrkxUTe8zGmwHpLWj5GY58LX0J0UIgOihYb5TFo0CDsdjt2u52FCxdisViadRy3+xQrMbZQ3G43+fn5J+lwrLyKlxZsA+DRy3rSq72XmYMD65QDIxpc/Xe+2ah8Ecb174ChsZvnXpWZkW6jwWDAUarCE0MbWk7xRrVhURNBsSW/GPpPhB6XgdsJC//k2bRvdAgJXUIpc5vYbRmqGjemAzCyR1v6dgimtNLFqwu3q//FDIGg9lB5TKX85oRj5a6jJaro2HXVJdMz3/Qs31wcY+H9ewYTHujPztLqDJf5+yirTkplNjXx0dI06HsDhHb1NEVqDkbnvwn/GACzx8DiF2HXUsyuMvp3tHDbkM48Zc2lg1ZAgd6GiGG3svulq1n9TCKLH7uU34/thrtwF8+b3uIj/7/WfT93lUowdttcuOd73FEDGhwPvoa3z4WvITooRAdFc/t/wRsUABaLpdmGRA0yQNxkZ2efpMOby3ZRWFKJtW0g94zo6mVvYMVM9dxvAq62sazYqZJMXd6nfeNvnL9ePXcYCOApFd6m1SlYwK1VBU5K1Xv1qw4xXbO7UN2QL3tBORRmz4d9WZ7dahwrPywbpho2fAquKjRN46krVJrtj1bnsWl/kXJCjK0OEc1ZDODJc7G3sDrJU8/LVB0NUImitnwFwMBOocx7YDh+ARYAVmzK5bFPVX8jg08hNXXFMbWMBAwrf50p+kO4uo5StUT2Z8HSGSo51bRoeLUvvDuO1vOUr0O4dozf8yF89RCV79/E3pcGk/Bxf75wPsgkU8aJ9/Bvo7J6Tv4B7p6volI0zet48DVEB4XooBAdFM3t/wU/r+NwOJg7dy4AmZmZTS57VFRUUFFR4fm7uFjlA3A6nTid6mamaRpGoxGXy1UnNM9gMGAwGLy21+xfg9FoRNO0Btvh5NAbb+0mkwld1xtsd7vddS5uzbl7a2+qTzXnajAYqHTpvPOTqtnwSGJ3NN2Nrmsn96m0AOPW/6EBziEPsO2Ag5JKF4H+RnpHtfF67rquw9HtaIArPBbd6cRU7WNQWeU66XrU75MhMBID4C7Ox+10Et8pBJNBY3dBKbuPlhAT1h2tbzKGjXNw//Q6JL+FwWBgbC/lc/FeQSxPh0VgPJYPG+fi7DuB+E7BJLQzknnIxe/nrOOr/xuOf3QCxqx30Pdn4XI6aR/cClB1LqqqlCHCsN9hKsyFdR+ip9+Fe/x/0PvcQIcQf+64pDP8CG5dY79DZehcs9teHZmhe71O5GViRMdhiiCfcKouSobk53AeO4S24zu03cvR8lagHcuHor3qUQv/NWnqGYgBqDdR5Jr4EXp1oiuj0Qi1rpPT6fSMk3M19uq3Xwifp5pt3G53nff9NfepOdcJqPP90BL61NzrVFuHltKnUzn32u319zlVLniDIiUlxTM7YbVaSUpKIicnx+v206ZN47nnnjupPTMz0+NsExUVRWxsLDt37iQ//0ToYZcuXejSpQubN2+msLDQ0x4bG0tUVBRr166lpOREUab+/fsTFhbGqlWr6lyAhIQEzGYzy5cvr3MOI0aMoKKigszMTE9bTWY2u93Ohg0bPO2BgYEkJCRw6NAhsrOzPe1hYWH079+fvLw8du/e7Wlvqk9bt26lpKSEVatWefr00wEXRWVOwltpBNl3sHz5zgb71GH/fHq6q9Db92f5ziJW7F8DQEyQDrqb0lLvfQp25GMC1uw4gMGxllYmtdSxbUcOy917G+1THy2UCOB4zmpsbqVlD4vG1kKdbzbmMzK8lArzMBKYg7blSw7v2ky7bv3I276ZmDYG9h7zY2nA5Ywu/QCW/Z2fi6OocsONXZxsdxjYcfg4f/piExMC3AwB3PttLF+2lIsTLvGcw4/LluNn0FSfrn2divIyzNs+xzAvhV3rllDQ+04SNPXh7tXWD1TiTZxunaRXl3BjnxC6+TkwG7WTrlPAsneIARZXqGJktw/rXGvsdYWIrsSOeIGoEDMZn79F4s7n1bExsiryZrYdLqW4ykghbZjk9yOxKOPQ3T2J5VH34j7UCg6t9jr2asbyLz32LuTPU813y759+8jLy2sRfWrOderYsSPl5eWe74eW0KfmXKfMzMw635MtoU/NuU61j3M6aPp5SAmWlpbWqFGQlJREYmIioKI84uLiADVbERoaSk5OjtdZioZmKGJiYjh8+DChocoB7UKwAGtzLqzayspKtmzZQu/evTEajRgMBu58O5NlO47yaGJ3Hri0m9c+GT69DcP2Behjp+Ia9jCvL97Ja4tzmDAomhnJF3vvk7MS7QUVWeF8dAcEhPFKxk7e+DGH24fE8Oy4ixrv086FGD+5Gb1tT1z3rQRgbtZ+npq3ic7hAWQ8MhJNA+NbiWgH1uK+8m8YhqTgdDp59ustfPDzXv5vaFse234LWmkBrqQXccZPZuvWrRT6R3Lv+2tx6zDlMiv3LbsETXfjfGQLzsB29PrTdwCs/eMYT8SLyWRCd7vQ5z+BYY2KCnH3ugaDXwBs/BT3sIe4JGs0B+tVCw00G7nionZc1qcdQ7qGYwk043I6MbwxGK0wh/srf8fB6MuZ9+DwBq/fun1F7Jo9iRuNy9jujuaayr9SiTqn+JBjvBH0XyILlOGgD7obrvobLr3udEX9sedyudi6dSv9+vXzjPlfauxdyJ8nt9vNtm3b6N27d51IpV9zn5pznXRdZ+PGjZ7vh5bQp+Zcp4qKCrZu3erRoSX0qTnXyW63ExkZSVFREcHBp54197zMUKSkpJzSdjabjbFjx2K32+u0h4WFed3HbDZjNp+8fm02m0/yXK0RsD7e2r15vp6Ndk3TGmyvGSyn2u7t3P39/RkwYIDn79JKJz/nKiv3qv7RJ72352+3C3avUOfYbTQmk4nD1TkWokMDPF/C3vrkOZ6fP5hMJ/wT7OUn7XNSn2IGAxra0e2YSg9DcAeuHRjNi/O3saeglB93FJB0UTtVKOvAWgzbvoYhKZhMJmKjQoC9bHEY0MZOha8fxrh0Osa+4z06/PmaCp79egvTv8/ljpC2BFYcxlRykOP+EZ5TCGxlxlTLwVIzGNGueUVV/Zz/BIZt//P875i5HQeLy9E0WPrEaL7dlM+7P+1hv6OMz9Ye4LO1BzAaNPp2COay4DweLMyhTPdnmbsfk2Mj2bivCJeuYy+t5OixCvIKS/no5zxGlWXwiv8y3LrGU1WTqcSPYV3a8GzbH+i57d9oBWXgFwjXvIp28USld4Oj4MR1MplMdcbDLzn2LvTPU//+/Rs8Lvx6+9RYu7dzrz0emnuOp9v+S/fpdK+T2WxuUIdfc5+a097QPfRUuKCdMq1WK9OnT/f8nZGRQXJycrMcNMXJxs3u3bs9OmTutlPpctMxtDXdIhoJ4bTvVhEQplbQXn3xVlSpYwT4NzywPWi1hpdbWcM92gUBsGl/UdP54gPDIbq68ueO76vf08Ttw1TSqpkZ29Uxelyuttm72hP62TVc9WlvYSkMnATR8VBRjP7ZvezO3Ynb7eau4V2ZPFI5ouaWKUNHLzlKcZmy6Fv7GfH3Fq0Rfzfcu1Bl3Kwm5Mc/kqBtY2CMhZiwAFJ+041lT44m/b5hTBramS7hAbjcOuv3FdFux8cA/M81lOME8GrGdsb9cznj/7WCu9/O5Im5G3h98U4iS3fwot9bAHwScAuXJ13J2qsP8HH5g8RuegXNWaaiN1KXQrUxcSrUHw++iuigEB0UooOiRUZ5WCwW4uPjmTFjBmlpaWRmZpKent6sY8kAqftB2XygCIABMRbvSalA5V8AaNsTDMqAcHpyLTQxfAxGMFcX/6qO1OgbHYK/yUBBSaUKy2yKXlep5w2fepomj7QS6G9k84FiPrPth7Y9VPIrZ7kKbwVCA9WSQFFZlYrkuCEN/IPQ8lZi+OFFjw5/uKo3943qhgvVt7eX55BXHd0RHtREaGuHgXDP93Wa0s1/4Y2yJ9X5VpVhMGgkdAnj+fF9+fGJ0Sx7cjT/HR/FtUZVP+Qjl0rd3T64FVEhrYi2tKZHpDK6OmpHeMd/Oq21SlyhVm6N70DquhsIXfQ4OPJUfozrZ8Fd36jKpqeBfHEqRAeF6KAQHRQtNsojLi7O40MhnD22H1QZK3s3lbGySFXAJLSLp6lmZqK04hQ8gdu0h4oilUY7IhazycjAGAs/7yrkh+wjWCOCGt//4ltg8QsqQdaR7RDRk7BAf/5vTA+mL9jGi99sYUyvSMI6DFAFuo5shU5DCGmtDApHWXVZ7vBuMO41+OweOu39HNeaoTA0FU3TmHJFLIe3BkAx/LzzMH/ZrnJndGvq3ECdUzUfOseSbFxC+2Ob4PPJahmi5+Xq0WkYWDoRExZA6IF38MfJKndvRoy+knmXxXqOsWl/EY+nr6ezdpAl5kc97UZ7LiyrTuYV1E6VYB90F/g3kb5cEAThHHHBGxTCL8OhYrU00DG0deMblquZDFpbPE01NT4K6hfAaojwbnA0W810dBsNwJV92/PzrkK+2XCg8dwXoNJj97xC5ZpY/ipc/28A7h3ZlS/W7if70DEe/XQdb7ezqqjJQlVavGY1pc7cS79kXEd3YlwyDcOCKeDfGuLuQNM02pmrDQ9zG1CRnyzZfoSisiqPcdIgOxcCsC30Up7Jv4efOqfyr54bwPauCvPc/Ll6AAS1R9d1gkpUUjDN3IbfBS+BVYspKS1h7ZbtOA7tYZ7BRmtzA9paL1XLN72uAb9WjesmCIJwjrmglzzOJo1O6/sAmqYRFRXl0cFeqm5YDRYAq01V9bKE3wk/i6gQdTPzJH5qjKgB6nn/iRosV/aLwqCBLc/B9uraHo0y8nH1vOETOLpDnY7RwKsTB2A2Gfgx+wjLj1afX9E+ACpdasruJB+IkY9j7zEBDR2+egiWz1TWR3XdkGmTRtfZfNTffuCNH3fiKPViPFXXKXm/QIV+3jBiAIx6Ah7ZCPcuVjMJ0fEqffjxg2jVxgTAkKrVmBY8AQueInDp84w4OodrjKtordV6r6gBMO4f8OhWuONL6Jd8VoyJ+uPBVxEdFKKDQnRQNLf/PmNQePOM9RWMRiOxsbEeHSqc6oZrNjWhi7Ha29d1IhQ3tjo997aDp2AMdIxXz7uXeaYN2gW34rKLVIbNt5bvOoVjDFKzFLobvnnMc5yLOgTz/HWqwuhX2dWGT6V6Lqpe6mhjrhfZYzIReutsGP471ZAxFT65TdX8ALQ2JzJ/hgb44SitYsaCbIZOW8RTn23gp51HcVYbKxzJhgNrcWPk+8r+9O8Ywpiauiaaps476TmYvAj3k3tYHXKF59jZwcNYGTiWBe7BfOUaxjzX8Lp9DoyAx3dC6hIYdKeaqTmL1B8PvorooBAdFKKDorn99xmDon7Mra/hcrnIzs726GCqrr/huTl6o2aNvvKEA2WvqDZoGux3lJFfVNb4/p2Hq9mNY/mQv87TfG91dMVntn3sPhXnzCumqUiTXUtg/cee5psSYpg8sitlujJ8jlQnfNlvV+cVXW9Jx+Vykb19O64xU+GKl6pTd3/j+f+3ucovpHdUMGv+mMTLEy6md1Qw5VVuPsncy61v/szgvy7iwQ9tbPz6nwAscg3gCBYeTep5kmXvdLnZdbSE8S9+wMUOVdTr+arbuPzwQ9xScA/3VT7CsnaTGBtRyzgbeLua4QiK4Jei/njwVUQHheigEB0Uze2/zxgU5yF/1wWFruvk5+d7dAio/uV+vCnHyjbVv4xrnDOB4FZ+XNzRAsCy7Ucb39+vFXRXkQxsOBGhE98ljFE9I6hy6bz07bamOxBmhVFPqtfzn6jjDPmHq3oz3KqiSbYdKuXNZbnsqa5q2jG0rtNiHR2G3q8iJGrR/sfHaUch1w3ogNGgkTyoI/MfHsGclKFMjI8hNMCPwpJKlm7MofMelRJ+jutSAJ6Zt4krZi7lyteWMfbvPzL0r4vo/sy3JL/8Ja9rf8esVbHYNYC3XFcSE9aax4cFsy7+O/5W+DDBhRtURMx1b6hiZH5N+LacIfXHg68iOihEB4XooGhu/8Up00fpENKK9Xshv6i88Q1rojuqnR1rGNUzgnV7HXy3+SA3JcQ0foyBk2DrV7DuQxj7J8/N8g9X9WbZjiMs2HyQBZvyuaJvVOPHueR3kPODWj75dBL89jtorcJeJ/YPhX1QQmte+GarZ5c+HZqIYuk8DLqN8RQGG1P2HUvNi6ly3A32ByG0C5qmMcQazhBrOC+6+pK1x46+ZAbBe0rZ7o5mkVsVPqup41Gb1pTzX/+X6Ww4zH7acWjMqyyNNtBx50dotndVqCtA73Fw1csqKkYQBOFXiM/MUAh1ibaom3qTuSAiYlWCqmMH4NhBT/O1A9TMxY/bj3C4uAmjpPtYCOkE5Q6wvedpjm3fhvtGqZTff5i3icPHmjiO0QTJb6ly40e2wcc3Q6VyDDWUqaWOLh07ULuaek3ODK+4XZCv8u7Pj0zhZ3cvzFoVQWvT4LUB8MGNsP4TKFXHNxkNDIl0EX/gQwD+6bye6TcOYNFjo/jiweG8f89gXr9lINaIQAIp4x3/GQwwqDTz0cMmcEveVGI+GoW2epYyJmKGwJ3/g4kfiDEhCMKvGp8xKBpKbepLGAwGunTp4tGhT7T65b5+n6PxHVsFQ2Qf9Tpvpae5W0QQgzqH4nLrfPBznpeda97cCCMeUa+XvlzHH+ORxJ70jgqmsKSS1PezKK9qYu0uKBJuS1fLA3kr4ZNbVBnw6hmUXr3788zVJ7JXvvTtNh77dD0HqmcP6uvArqVQehSX2cLj+0cysfJPbL/sPeg2FtBVbot5qfC37vBmEnz3DO5X+2KqOsZedwSBccnclBBDt4ggeke1YeehYv711TKsBUvZ3OoehhhqLees/Kd6P80APa+E2z9TsyxdRzbe51+Ak3TwUUQHheigEB0Uze3/eSkOdi4pLi4mJCTktIuctHR2Hy3h0pd/xN9oYN3UJAL8G1n9WvA0rHpDJZm6/j+e5vkb83ngQxttWplY8dQYgls1kq/BWQn/jAfHHhj5GIz9s+dfuUeOM/5fKygudzLu4g7MnDgAo6GJsKW8VfD+9VBVClEXQ6kdivIg+W1e3t+Hf/6wE1DBFroOfkaN5EEx3DOiK90jayWsmncfrP+YJcHXcOfhW/lNzwje++1g9b/CXFj3MWz7Bg5vbvA0dM0AfgGU6yb0qnJa6RUYNC8fqeh4lfmz3wSwdGq8f4IgCOeJ5t43fcYME69dFxs2bPDo0Dk8gI6hral0uVnalGNl72vV87b5nloZAFf0aU+PyCCOlTv51+KdjR/D5A+X/1W9Xj4T8td7/mWNCOLftw/CZND4ev0BHk9fj6uppYpOQ+Gu/6mU2/nrlTEBuNpfzBfrlAPpzIkD+Pz+SxhqDaPKpfPx6jwSX1nCFS8v5N0Vu9i/bw9sngfAa0fiMRo0/nh17xPvEWaFMc/AAz/B79ZzcPDTJ52GprvRKo/TuspBAOUnGxM9LoMJ78Jj2TB5kTKmLgBjov548FVEB4XooBAdFBLl0QQtfCKmSXRdp7Cw0KODpmlc3ket2c/fmN/4zjFDIDhapdCuvgEDGAwaT1+lEjr9d/kuspvKS9H7GrhoPOgu+GyyWqqoZnj3tvzjloGYDBrz1u7ngQ+zKGkqAiV60Em1NPZ9/w/s9kIsAX5c0bc9AzuF8knKMD5NHUZi70gMGmw7WsnUr7cw7z9/Amc5a93dsek9iAltTaXTTX5RGQXHKygqrSK/qIzsg8eYuvgoeatUxsut7hhiy98htvwdEsr/xaUVf+eFNs9Q0rpWrojuiTBlt1qe6TP+gvOPqD8efBXRQSE6KEQHhUR5CKfNdQM68N/lu1iw6SBHj1fQNshLyVqDAeJ/C4ufh5X/gv4T1VoCMKZXOy7v047vNh/isfR1fHb/JY0ny7rqZdj7s0rH/cX9MOE9dXzgqn5RGDSNhz9ey3ebD3Hjv39i1qRBdA5vpBpqeDdIuBcy3wSg8/Z3WGT+ktVdHqKVYYxns8FdwxjcNYwD9hJmfrGCgpJK7jyijJH/OMcBGrsLSrnm9eUnvYWGm5l+bzDYmE2xHsD/VT1MBf50iwjkhth23Fw6h7BtH6C5neAXAInPQsJkT78EQRB8AfnG82H6d7RwcccQKl1uPlzVhGPloLtVYqmDGyD72zr/eu7avoQG+LFpfzEv/G+rlwNUExQBN70PRn/Y+jUseOpE4Q3gir7t+ThlCG2DzGw7eIwrX1vG+6v24Pa2BKLrsP07AA50v5nd7na01+xcm/sX5bOx5u06MyGRbcxc1dWf2R2/pY1Wxnq3le/dg+gY2pq+0cG0DTLX8d/QcDPN9CbXGX+iSjfyZexLPHbrOLJSolnU43MeXHcD4VveUcZE9yS4fwUMSRVjQhAEn8NnnDLtdjsWi+V8n855w+12c+jQIdq1a1fHg/er9Qd4+OO1tDGbWPrkaEIbq+2R8awq0BXeHR5YBcYTTpg/ZB/m7rczAXh23EXcNbyJol/r58C8FPX6kocg6XnPrAdAflEZj3yyjp93qXDNuE4Wnrm6N4M6h9U9Tu4SeO9adP8grmv9DtmHjvPvbj8zpnAOVIeS4heolh16XY27y0gKtywh/KtJaOjcUPEsd068iesGRHsOeai4nBkLsvnatouX/GZzg3E5Oga0UU+oHBqb59XxAaFDnJqVsI5qvM8XEN7Gg68hOihEB4XooHA4HISGhp62U6bPGBQS5dEwbrfONa8vZ0t+MXcP78LUcX28b1xeDP8YCKVHYfQfVRGsWry+aAd/X6gyWM6cOIDxA6MbOsoJ1rwF//u9et1/Ilz7OphOLLu43TrvrtzNjAXZlFWHk47pFcm9I7syzBqu0lx/fAtkz2dDh5u4Nnc8lgA/Fj92KWGmSsh6B7LehgLvDqPzLprJ9aMGg38guxwuPvl5F0s37aajez+z/V/xfu6aQVX9HHq/Kk3u48WEBEFoOTT3vukzBkVBQQFhYWFN79BCcTqdrF27loEDB2Iy1XWdWbr9CHe8tRpNg7n3XcKgzqHeD1Qzs2Awwb0Z0GGg51+6rvPsV5t5d+UeNA3+cl1fJg3t3PiJ2d6Drx9RjpodB8ONb0Jo3X0OFZfzyvfbSc/aS83KR892QdzVvYxbsm5GQ+fyqlfIdrXn1YkXc/3Ajid21nUVYrrlC/Ts+WiOJpZ2GsNoVpk1LxqvMlsGtm3+sc4zjY0HX0J0UIgOCtFBUVhYSHh4uISNCt4pKalOKFXPhvxNzwhuiItG1+GJ9PWN1/fof5MKI3U74dM7oeREyKmmaUwd14fbhnRC1+FPX2zir/O3UtVYAbK4O6oTVQXDvtXwnxGw7qM659guuBXTk/uz8NFRTBramdZ+RrYfOk7k6pfQ0PnWlUC2S0VRhAeaySsopbi8Snkqaxp0HsbBS57jo7JhnmNmuXuw0pjAVncnCvUgSnUvDqkxQyHpLyoB1dN7VQnx+Lt/1cZEDZ7x4OOIDgrRQSE6NB/fNcF8Ed2FlpmmamHc/FGdafqp1/Thp50F5B4t4fdz1jHr9kEYGkoupWkw7jXlQ+DYA3Nuh0lfqCJgqFDSF8b3pW2QmdcW7SBtaS5Ze+zMnDiAmLCAk48HKjX3fctUKOm+1Sr6w/aeqgbaYYBns24RQTw/vi+PXx7Luh8+Z9TqtTh1AzOcN3u2ueOt1Z7XBg0MmobTrXOn8Tue85sDwONVqcx1jYJKtc3Ajm14JPxnhuf9B0NptYEU/1vl12GulQRLEARB8IrMUPgQ5opCDIv+Atnz65QABwgJ8OPft8fhbzKwcMshXlqwzXssckAY3PqpmlXIWwlzboOqE3U4NE3j90k9+fdtcbQxm8jaY+eyV5cya0mO99mK0C5w97cwdqoKvcxbCWmj4MObYM/KOjMWIYZyfpP9PADvu5LYpUcxplckl/dpR/fIIMwmNazduqrlMcn4Pc/5vQvAP5zj2RE2hvtHWZk9MZbNV+byWeWDjNz2gjImwrurlNjXvCrGhCAIwmngMz4UDoeDkJCQ83065w1d17Hb7YRufhdt0bPQOgzu/wmC61b4/Ny2j0c/VREMD47uxuOXxSrnx4bYtVTd8J1lYB0NN72nan/UYk9BCU/M3cDq6miNLuEBPDSmB9cN6IDJ6MWeLdoHGc/BprmgVxsgbWNhwK3Q6xpcy1/FuO4D9rojuMY1g3/eNZKRPSI8ux89XsHri3bw3spdTDHN4T7T1wBUDnkIv7F/4PjGbwja/R3atvlQVT29GRAOo6aomQljIynEWwie8RAa6v36+gCig0J0UIgOiqKiIiwWizhl1keiPOrhqoK00XBoI3QZqXwCDHUTUb29YhfPfb0FgElDOzN13EXeb/67lyujoqpE3fRv+Vglm6qFruvMzdrHtG+3UVhSCahqpxMTYrgpPob2Ia0aPnZBDqyYCRvSldFSj4XuBIJHP8yQAf1xBbYnc18Jn6zOY/6mgwQ77fzH/1XiDdtP7NB5OOzLBFflibbwHjDsQbj4Zk9ZdUEQBF9Gojy8IFEeCqfTyapVqxg6dCgmey6kXaqMgOGPQNJzJ23/9opd/OV/W9B15bQ5c+IAwrzlqNhvg09uUyXOzcHK92HArSeFUpZUOHlv5R7SluZgL63ytF8cY2Fsr0gSuoTRr2MIQeZ6rj3lxbB5HvrXv0PD+3Ct1I1UYSJQq/C6DUCFORy//jdiuHiiSt/tg79E6owHH/ZmFx0UooNCdFA0N8rDdxXzQZzO6uiNiJ4wbiZ8PlnNAARHw5CUOtvePbwrUSGt+f2cdSzdfoTLZy7lb8n9uTQ28uQDR8dByg/w6R0qrfaXD8CWL1UxsLbdPZsFmk3cf2k37h7ehfkb8/lk9V5W7y5k/V4H6/c6AHVv7xQWQLSlNVEhrQk0GzFoGutWOvjQ359ArYIy3Z8019X00XbTQ9tPe82OWavCX3PhTwNFbToNg7Y9oEMczk6XsHLzAUaMHInBh78woNZ48HFEB4XooBAdmo9vf6P6Mv1vAvse+OEF+PZJMJqU/0Atrujbnk5hl/C7T9ay4/Bx7no7k6v7RfHUlb1Ojtho0145Va54DX74K+z4DnIWqWNe8jBYYjybtvIzckNcR26I68jh4nIWbzvMku1HWL/XwYGicvYUlLKnoNSz/TDDZt7zf4VArYKlrn7cW/U4lfjhZ9S4qEMIo9tXcuvxd4jc9cWJ8+l7o3KsbFXPb8bpBK2JYmiCIAjCaSMGhS/zm8eh5AisnqUyVpYWqvLatZYALuoQzNcPjWD6gm28+9NuvtmYz8Kth5gYH8PkkVY6hdcyLAxGGPko9Loavv8j7PgeVqdB5n+hz/UQN0n5bdTy2YgMbsXNgztx82BV0vvIsQp2HD7G+yv38O2mg1xrWMHf/GZh1pxsMPUlb0wa/2obTieLma7Fq/Hf9F/Y/BW4q5dQOg2Dq/4G7fudEwkFQRAEhc/4UEiUh05paSkBAQF1vZd1XVURXfZ39fdF4+G6f4K5zUnH2JpfzF++3sLK3AJA5XC4NDaS6wdGk3RRO1r51asymvMDLH9FRYPUENQeel6u6l50Hg5B7TwGzI5Dx/hmYz5zs/ZxxF7En0zvc7tpEQBVPcfhd9mzkL8Odi6CnRlQcvjEcTuPgN88pqJNGvGJ8KqDjyE6KEQHheigEB0UEuXhBTEoFLqu43K5MBqNDX9QVs+GBU+rX/phVlVXo8uIBo+zMreAWUtyWbL9iKfdbDKQ0CWMYd3C6RsdQu/2bYhoY1bvdWCdqqmx+Qsod9Q5XoV/KPv9OpNTEcKe8gCO6QHEGXYwyrih7hv7t4HKY3XbWodCvwnKAbRWCvAz0sFHEB0UooNCdFCIDgoxKLwgUR4Kp9PJ8uXLGTFihHfv5b2rIf0uKN6v/h44CUY/c1Kuihpyjhxnnm0/X6zbzz77yWGd/iYDEUFmQlr7YTRo+FNFz5Is+pTbGOTeSKy2F4N2GsPPYILI3moWovtYtbxh8pIy2wunpIMPIDooRAeF6KAQHRQS5SGcOTGD4YGVsPDPqlLn2vdh41wYfC8MuQ9COtbZvFtEEI9fHstjl/Uk58hxlu04yprddrYdLGbX0RIqnW72O8rY7zhhbGTRG+gNQIcAnZGhBVzZejOX7pt18vkMvB0iL1LLIhGxKs+FqZHy6oIgCMJ5QwwKoS6tQlStjv43Q8ZUFQb60+uw8g3lbNl/opodqJUEStM0uke2oXtkG+4e3hWA8ioXR45VcPR4BUVlVbh1HbcbglqZCA3wJ9JcReiBJbD2a+UPUUOnYTD2z9D5knPdc0EQBOEMEINCaJjOw1SFzR3fK4Ni9zLY+pV6+AVC19+obToOhrY9ITC8zu6t/IzEhAWo8FJdh9IC5VC5by3s+Ull2KydsbLrKBjxSJNOlYIgCMKFic/4UIhT5hk6Gx3aAms/UAmrived/P9WFgiKVM/+gaq8ubMCygqhaH+DqbMJ6wa9x6kS5vXSdf9SiNOVQnRQiA4K0UEhOijEKdMLYlAozlo4lK7DgbWwZ4WqApq/vmEDoyHCrNAhTqW77pGksleeYyQsTCE6KEQHheigEB0UzTUofGbJw+VqICWzD+FyucjMzDxz72VNU6m2o+PgkodUW2Up2HepxFjlDqgsURU7jWZVfTQ4Wj38vBQBO4ecNR1+5YgOCtFBITooRAdFc++XvquYcPbwD4B2fc73WQiCIAjnES81qQVBEARBEE4dMSh8CF+ewquN6KAQHRSig0J0UIgOzcdnnDJP17lEEARBEHyR5t43fWaGooXbTU2i6zqFhYWig+gAiA41iA4K0UEhOiia23+fMSgkysPFhg0bRAfRARAdahAdFKKDQnRQNLf/PmNQCIIgCILwyyEGhSAIgiAIZ4wYFD5EYGDg+T6FCwLRQSE6KEQHheigEB2aj0R5CIIgCILgQaI8msDtdp/vUzivuN1u8vPzRQfRARAdahAdFKKDQnRQNLf/YlD4CG63m+zsbNFBdABEhxpEB4XooBAdFGJQCIIgCIJw3hCDQhAEQRCEM8ZnDApfrm0Pqv9hYWGig+gAiA41iA4K0UEhOiia23+J8hAEQRAEwYNEeTSBONm42b17t+ggOgCiQw2ig0J0UIgOCnHKbAIZIPJBAdGhBtFBITooRAeF6KAQg0IQBEEQhPOGGBSCIAiCIJwxPmNQiNeuRlRUlOggOgCiQw2ig0J0UIgOihYd5ZGRkUFubi5WqxWAxMTEU95XojwEQRAE4dRpsVEeGRkZpKenk5KSgtVqJTU1tVnHcblcZ/nMfl24XC6ys7NFB9EBEB1qEB0UooNCdFA0t/8XvEGRmprK9OnTAbBarSxcuLBZx/kVTMT8oui6Tn5+vuggOgCiQw2ig0J0UIgOiub2/4I2KHJzcyksLMRisWCz2XA4HJ5lD0EQBEEQLhxM5/sEGsNmsxEWFsbcuXNJTEwkLS0Nq9VKcnKy130qKiqoqKjw/F1UVASA3W73tGmahtFoxOVy1bHEDAYDBoPBa7vT6azzXkajEU3TGmyHk6eNvLWbTCZ0XW+w3e1214kJrjl3b+3ezr2iooLjx49TWFiIyWRqEX1qznVyOp0eHcxmc4vo06mce/32Gh2Ki4s95/Nr71Ptcz/V6+RyuSgpKcHhcGAwnPh99WvuU3Ouk9vtrvP90BL61JzrVF5eXkeHltCn5lynmvvlac9U6Bcws2bN0gHdbrfruq7rdrtdb+qUp06dqgPykIc85CEPecjjDB45OTmndc8+L1EeaWlp5OTkeP1/UlISiYmJZGRkMGHChJNmF7KysoiLi2tw3/ozFA6Hg86dO5OXl0dISMjZ68SvjOLiYmJiYti7d69PR7uIDgrRQSE6KEQHheigKCoqolOnTtjtdiwWyynvd16WPFJSUk5pu+b4S5jNZs9Udm1CQkJ8eoDUEBwcLDogOtQgOihEB4XooBAdFLWXAU9p+1/oPM4KVquV+Ph4HA4HgCcXhbfZCUEQBEEQzg8XtFMmQHp6OlOmTGHQoEFkZWU1O2xUEARBEIRfjgveoLBYLMyaNavZ+5vNZqZOndrgMogvITooRAeF6KAQHRSig0J0UDRXh19F6m1BEARBEC5sLmgfCkEQBEEQfh2IQSEIgiAIwhlzwftQNJfc3Fzmzp2L1WolNzeXlJSU04qnbSnYbDYmT55MVlbW+T6V84rNZiMjIwOAzMxMZs+e7ZPjoUYDh8NBZmYmEydO9PmoqSlTpvD000/75Hiw2WwAxMXFkZubi8Ph8NnxcCZVrVsKNVmpgeZ9HpqTwfLXQFxcnOd1Tk6OnpycfB7P5vyQnp6uZ2Vl6S34Mp8y06dPr/O69vjwJSwWi56VlaXruspEa7Vaz/MZnV9qPh812Xh9jZSUFE9WxMTERJ/VYeHChXpKSoqu6+p+4aufCxrIlln7u7MpWuSSR25ubp2/rVar55eZL5GcnOyzvzZqY7PZmDZtmufv5ORkbDbbSePEF0hPT68zJnzxV3ltav8i9UUGDRqE3W7HbrezcOFCnx0PZ6uq9a8Zh8NBeno6uq57HtOnT+fJJ5885WO0SIMiIyODsLCwOm1hYWGe6T3Bt4iLi2P27Nmev2sSpdUfI75A7Wnc9PR0UlNTz+PZnF/mzp3baKFBX8FisfisIQFS1bo2tT8Pzfl8tEgfipobRn0KCwvP7YkIFwy1Pxhz5swhMTHRZ79EbTYbc+bMISkp6ZTT4Lc0HA6Hz17/2jgcDubOnQso36LU1FSfu5k2p6p1S6T258HhcFBYWHjaY6FFGhTe8GZoCL5DzReoLzupxsXFYbVamTJlis/+Sv/000991piqTW1ndavVSlJSUqOFG1sihYWF5Obmen5kpKSkEBoaevqlu1sQU6ZM8SwBnQ4tcsnDYrGcNBtRM6Ul+DZTpkzx6bXiGiwWCxMmTGDChAk+Z2hnZGRw0003ne/TuCCo7UdUExHna75FVqu1zrJPzbOvLpE7HA4yMjKa9R3ZIg0Kb+E+8fHx5/hMhAuJGTNmMGXKFKxWKw6HwydvpKGhoZ6/a6Yzfe0GAmqGIi0tjbS0NHJzc5k2bZrP3UBsNhtjx449qd3XfIt8bYmnKdasWdPsH1wtcsmj/gDJzc0lPj7ep3+V+vqa8dy5cz1T/Q6HwyenvMPCwuoY2zabDYvF4nORQPV/cKSmpvqk74DVaq0zrZ2RkUFycrLPfU/UrmptsVh8vqp1jU9Jc2iRBgWcqFKakJBAZmYm6enp5/uUzjkZGRme8Kdp06aRkJDgk+vlubm5TJgwoU5bzVqpLxEXF8fEiRNJS0sDYOHChT7tS+JwODxaTJ8+ndTUVJ+6iVgsFuLj45kxYwYWi4WcnByf/J4EqWpdn+Ya11IcTBAEQRCEM6ZF+lAIgiAIgnBuEYNCEARBEIQzRgwKQRAEQRDOGDEoBEEQBEE4Y8SgEARBEAThjBGDQhAEQRCEM0YMCkEQzgk2m40pU6aQkZFxVo+blpbGlClTfC7zqSBcaIhBIQjCKVFjEGiaxqBBgzwpu2vaJkyY0Gj66tzcXFJTU0lMTMRms5GamoqmaUyZMoUZM2YwY8YMUlNT66QCr79dWlqaJ4V6aGgoGRkZpKSkkJCQINWEBeE8I4mtBEE4LVJTU1mzZo0ny6bNZmPNmjVNZh6tnf4cVKbK0NBQ7Ha7J91zRkYGEyZMYNeuXZ623NxcunXrVme7+u9b/9iCIJx7ZIZCEITTYvr06eTm5nrSVs+ZM+espTFPTEz0VDuswVtdAV9Kky0IvwZabC0PQRB+GSwWC7Nnz2by5Mk4HA5SU1PP2rFrlkwaMxZqippZrVYpQy4IFxBiUAiCcNokJycza9YsFi5cyJNPPnlGx8rIyMBisWCz2SgoKCAnJ6fBpYvaMyI1Rax8rTKmIFzIiEEhCEKziIuLY8aMGWRkZJxUEvx0SExMxGKxEBYWxuTJk3n66acb3C4lJUUMCEG4gBEfCkEQTpu5c+cyceJET9nvs0FcXBzx8fFMmTKl0e2Sk5M9r892CKogCM1HDApBEE4Lh8NBbm4ucXFxnuWOpoyAU8VisTRpJFitVs+SSO0QU0EQzi9iUAiCcFpMmzatjt9Eeno6M2bMOCs3927dunmOU+Og6S2/hMPh8ISuCoJw/hEfCkEQTomMjAxmzZpFRkYGCQkJnqWHNWvWAJCUlERqauopOWnabDbmzJlDcnIyaWlpJCYmEhcXR0pKCgsXLmTGjBkef4lZs2YBypDp1q0bADk5OaSlpXn1txAE4dwjia0EQTgn/JLJpySxlSCcf2TJQxAEQRCEM0YMCkEQBEEQzhgxKARBOCdYrVaPD8bZJC0tjczMTK8pugVBODeID4UgCIIgCGeMzFAIgiAIgnDGiEEhCIIgCMIZIwaFIAiCIAhnjBgUgiAIgiCcMWJQCIIgCIJwxohBIQiCIAjCGSMGhSAIgiAIZ4wYFIIgCIIgnDFiUAiCIAiCcMb8P5GP6gti2+N3AAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(6, 6))\n", "ax = fig.subplots()\n", "\n", "ax.scatter(5, 0, label=\"Initial position\", color=\"black\")\n", "ax.plot(*r_BB.T[:2] / Units.RE, label=\"BB\")\n", "ax.plot(*r_RK6.T[:2] / Units.RE, label=\"RK6\")\n", "\n", "ax.set_xlim(0, 7)\n", "ax.set_ylim(-6, 1)\n", "ax.set_xlabel(\"X [RE]\")\n", "ax.set_ylabel(\"Y [RE]\")\n", "ax.set_aspect(\"equal\")\n", "ax.grid(True, linestyle=\"--\", alpha=0.8)\n", "ax.legend()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "11", "metadata": {}, "source": [ "## Estimating the Larmor radius along the trajectory\n", "\n", "This section evaluates a characteristic spatial scale of the cyclotron motion—the Larmor radius \\(R_L\\)—as a function of time/step index.\n", "\n", "Workflow:\n", "- import `GetLarmorRadius`;\n", "- read particle mass and charge from the simulation output;\n", "- compute the pitch angle (angle between velocity and magnetic-field direction) and then \\(R_L\\) at each trajectory point;\n", "- plot \\(R_L\\) (in \\(R_E\\)) for BB and RK6 and indicate the minimum/maximum values.\n", "\n", "The expected output is two close \\(R_L\\) curves and an understanding of how the local Larmor radius changes as the particle moves through a non-uniform dipole field." ] }, { "cell_type": "code", "execution_count": 6, "id": "12", "metadata": {}, "outputs": [], "source": [ "from gtsimulation.MagneticFields.Magnetosphere.Additions import GetLarmorRadius" ] }, { "cell_type": "code", "execution_count": 7, "id": "13", "metadata": {}, "outputs": [], "source": [ "M = track_BB[\"Particle\"][\"M\"]\n", "Z = track_BB[\"Particle\"][\"Ze\"]\n", "\n", "B_unit_BB = B_BB / np.linalg.norm(B_BB, axis=1)[:, None]\n", "v_dot_B_BB = np.sum(v_BB * B_unit_BB, axis=1)\n", "pitch_BB = np.rad2deg(np.arccos(v_dot_B_BB)) # clearly get a pitch angle of 90 degrees\n", "LR_BB = GetLarmorRadius(T_BB, np.linalg.norm(B_BB, axis=1), Z, M * Units.MeV2kg, pitch_BB)\n", "\n", "B_unit_RK6 = B_RK6 / np.linalg.norm(B_RK6, axis=1)[:, None]\n", "v_dot_B_RK6 = np.sum(v_RK6 * B_unit_RK6, axis=1)\n", "pitch_RK6 = np.rad2deg(np.arccos(v_dot_B_RK6)) # clearly get a pitch angle of 90 degrees\n", "LR_RK6 = GetLarmorRadius(T_RK6, np.linalg.norm(B_RK6, axis=1), Z, M * Units.MeV2kg, pitch_RK6)" ] }, { "cell_type": "code", "execution_count": 8, "id": "14", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure(figsize=(9, 3))\n", "ax = fig.subplots()\n", "\n", "ax.plot(LR_BB / Units.RE, label=\"BB\")\n", "ax.plot(LR_RK6 / Units.RE, label=\"RK6\")\n", "\n", "ax.axhline(y=np.min(LR_BB / Units.RE), linestyle=\":\")\n", "ax.axhline(y=np.max(LR_BB / Units.RE), linestyle=\":\")\n", "\n", "ax.set_xlabel(\"Number of steps\")\n", "ax.set_ylabel(\"R$_L$ [RE]\")\n", "ax.legend(loc=\"center left\")\n", "\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3.12 (GTsimulation)", "language": "python", "name": "gtsimkernel" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } }, "nbformat": 4, "nbformat_minor": 5 }