{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "We follow up on [first](./01_spin_half_Rabi_Hahn.ipynb) tutorial, but with a more concrete quantum system: the nitrogen vacancy (NV) center in diamond. NVs are the most known color centers, due to its extensive research in quantum technologies. Here, however, we will focus on QuaCCAToo's usage rather than the physics of the NV itself. For more detailed information about NVs, we recommend:\n", "\n", "[1] E. V. Levine, et al., Principles and techniques of the quantum diamond microscope, Nanophotonics 8, 1945 (2019).\n", "\n", "[2] S. Pezzagna and J. Meijer, Quantum computer based on color centers in diamond, Applied Physics Reviews 8,011308 (2021)." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from qutip import fock_dm, tensor, qeye\n", "\n", "from quaccatoo import plot_energy_B0, NV, Rabi, Ramsey, PMR, RabiModel, fit_two_lorentz_sym, fit_two_sinc2_sym, Analysis, ExpData\n", "from lmfit import Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 1. Energy Levels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We begin defining the quantum system from the predefined `NV` class in quaccatoo. The class has only two mandatory parameters, the nitrogen isotope $^{14}\\text{N}$, $^{15}\\text{N}$ or None (which neglects all nuclear terms) and the magnetic field in mT. Optionally, the user can define a misalignment angle between the NV axis and the magnetic field, alternative magnetic field units, alternative Hamiltonian units, or collapse operators for the pulsed experiments. To visualize the energy levels, we use the `plot_energy` method." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qsys_1 = NV(\n", " N=15,\n", " units_B0='mT',\n", " B0 = 38.4,\n", ")\n", "\n", "qsys_1.plot_energy()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We observe the three electronic energy levels of the NV center: $m_s=0,-1,+1$. To be able to see the nuclear levels splitting, we need to specify a smaller energy range in the `plot_energy` method." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qsys_1.plot_energy(energy_lim=[1790, 1798])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, the splitting from the $^{15}\\text{N}$ nuclear spin is observed.\n", "\n", "So far we considered $B_0=38.4$ mT, but if we want to see how these energy levels change as a function of the external magnetic field, we can use the `plot_energy_B0` function." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# range of B0 values where we want to plot the energy levels\n", "B0_array = np.linspace(0, 200, 100)\n", "\n", "plot_energy_B0(\n", " B0 = B0_array,\n", " # here we calculate the Hamiltonian for each B0 value\n", " H0 = [NV(N=15, B0=B, units_B0='mT').H0 for B in B0_array] \n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected, the $m_s=+1$ grows linearly with the field, while the $m_s=-1$ decreases linearly and $m_s=0$ level is not affected by the field. After 100 mT, the level anticrossing occurs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 2. Rabi Oscillations of Electronic Spin" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Just like in the previous notebook, the first experiment usually conducted is Rabi oscillations. In this case, $H_1$ and the resonant frequency of the pulse are not as trivial as before. The user can define their own parameters, but the NV class has a standard interaction Hamiltonian\n", "$$ H_1 = S_x \\otimes \\mathbb{1}, $$\n", "which can be obtained by the `MW_H1` method. While the resonant frequencies for the $m_s=0 \\rightarrow -1$ and $m_s=0 \\rightarrow +1$ can be obtained from `MW_freqs` attribute, which takes the average between the two nuclear spin states. Again, we will consider a square cosine wave for the pulse." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# typical NV Rabi frequency in MHz\n", "w1 = 16.72 \n", "\n", "rabi_sim_1 = Rabi(\n", " # pulse duration in us\n", " pulse_duration = np.arange(0, 0.15, 3e-3), \n", " # NV center system defined above\n", " system = qsys_1, \n", " # control Hamiltonian\n", " H1 = w1*qsys_1.MW_H1, \n", " # MW frequency for the ms=0 --> ms=-1 state transition\n", " pulse_params = {'f_pulse': qsys_1.MW_freqs[0]} \n", ")\n", "\n", "\n", "# run the experiment and plot results\n", "rabi_sim_1.run()\n", "rabi_analysis_1 = Analysis(rabi_sim_1)\n", "rabi_analysis_1.plot_results()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we want to compare with the simulation with experimental data, we can use the `ExpData` class to load it from .dat or .txt file and the `compare_with` method. In this case, the experimental data was measured for the same NV parameters as defined previously." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "LinregressResult(slope=np.float64(2.5895433124843423), intercept=np.float64(-2.0453606037750993), rvalue=np.float64(0.9872724331132969), pvalue=np.float64(5.450830010550885e-40), stderr=np.float64(0.060209767213068484), intercept_stderr=np.float64(0.05996996938639089))" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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4CQrcCCGEEEKcBAVuhBBCCCFOwu0K8BqNRpSVlUEul/e4sCUhhBDizhhjUKlUiIiIgEBAcz/24HaBW1lZGaKiouw9DEIIIcRpFRcXY8CAAfYehltyu8DN3A+yuLi4W+2BCCGEEGKiVCoRFRXVYW9l0j/cLnAzL4/6+PhQ4EYIIYT0AqUa2Q8tUBNCCCGEOAkK3AghhBBCnAQFboQQQgghTsLtctwIIYT0PYPBAJ1OZ+9hEBvTarWIiYmBVquFWq2293BchlgshlAo7NaxbterVKlUwtfXFw0NDbQ5gRBC+kBjYyNKSkrgZm8vbsFoNKK4uBhRUVFUx82GOI7DgAED4O3tfcVjacaNEEKIzRgMBpSUlMDT0xPBwcG0+9DFGAwGtLS0IDY2ttszRKRrjDFUVVWhpKQEiYmJV/y+UuBGCCHEZnQ6HRhjCA4OhoeHh72HQ2zMYDAAAGQyGQVuNhQcHIzCwkLodLorfl9pnpMQQojN0UwbId3Xk78Xtw3c/v7TReQqVPYeBiGEEEJIt7lt4LbnfAWW7zxHwRshhBBCnIbbBm7RAR5QqDTYlVFm76EQQghxIrGxsVi7dq29h9ErEydOxKJFi7o8xpnPzx24beAm4DjIRALkVzXZeyiEEEIcRHFxMebPn4+IiAhIJBLExMTgmWeeQU1Njb2HRggANw7cjIxBrTciPtjL3kMhhBDiAPLz85Geno4LFy5gy5YtyM3Nxccff4yffvoJY8eORW1trV3GZTAYYDQa7fLcxPG4beBWVNuCELkUs9Mi7D0UQgghDmDhwoWQSCTYu3cvJkyYgOjoaEyfPh0//vgjSktLsXz5cv5YlUqFe++9F97e3oiIiMDf//53q8dasWIFoqOjIZVKERERgaeffpr/mlarxfPPP4/IyEh4eXlhzJgx2L9/P//1TZs2wc/PD9999x0GDx4MqVSKTz/9FDKZDPX19VbP8/TTT2PChAkAgJqaGtxzzz0YMGAAPD09MXToUGzZsqXdeer1ejz55JPw8/NDYGAgXnzxxS6LJTc0NODRRx9FSEgI/P398cQTT+D06dM9+dYSG3LbOm43DwnD3PGDkBAit/dQCCHEpa36NhMNLf3f/srXQ4yXZw3u1rG1tbX44YcfsHr16nb158LCwnDfffdh27ZtWLduHQDg7bffxt/+9jesWLECP/zwAxYvXozk5GRMmTIFX331Fd5//31s3boVQ4YMQUVFhVWg89BDD6GwsBBbt25FREQEdu7ciZtvvhlnz55FYmIiAKC5uRlr1qzBZ599hsDAQAwYMACvvPIK/vvf/2L+/PkATDNx//nPf7Bq1SoAgFqtxqhRo/DCCy/Ax8cH33//Pf785z8jPj4eY8aM4Z//iy++wPz58/HHH3/g+PHjePTRRxETE4NHHnmk3feFMYaZM2ciICAAu3fvhre3N1577TVMnToVFy5cQEBAQA9+IsQW3DZwe+qmRPj4UNBGCCF9raFFh/pmrb2H0aWLFy+CMYaUlJQOv56SkoK6ujpUVVUBAMaPH4+lS5cCAAYNGoSDBw/i/fffx5QpU1BUVISwsDBMnjwZYrEY0dHRGD16NAAgLy8PW7ZsQUlJCSIiTCs+zz33HPbs2YPPP/8cr7/+OgBTIeN169Zh+PDh/Bjmzp2LL7/8kg/cfvrpJ9TV1eHOO+8EAERGRuK5557jj3/qqaewZ88ebN++3Spwi4qKwvvvvw+O45CUlISzZ8/i/fff7zBw++WXX3D27FkoFApIpVIYDAYsWrQIR44cwVdffYVHH320d99w0mtuG7gRQgjpH74eYqd/XvNSorlQ6tixY62+PnbsWH4n5p133om1a9ciPj4eN998M2bMmIFZs2ZBJBLh5MmTYIxh0KBBVvfXaDQIDAzkP5dIJBg2bJjVMffddx/Gjh2LsrIyREREYPPmzZgxYwb8/f0BmGbg3njjDWzbtg2lpaXQaDTQaDTw8rLO5b722mutCr6OHTsW7777LgwGQ7uq/SdOnEBjY6PV2IxGIzQaDfLy8rr9/SO2Q4EbIYSQPtXd5Up7SkhIAMdxyMzMxJw5c9p9PTs7G/7+/ggKCur0MczBUFRUFHJycrBv3z78+OOPWLBgAd5++20cOHAARqMRQqEQJ06caBckWTYY9/DwaFdNf/To0Rg4cCC2bt2KJ554Ajt37sTnn3/Of/3dd9/F+++/j7Vr12Lo0KHw8vLCokWLoNX2frbTaDQiPDycz8EzGAzIzMzE4MGDrYI50n8ocCOEEOL2AgMDMWXKFKxbtw6LFy+2ynOrqKjA5s2bMW/ePD6YOnLkiNX9jxw5guTkZP5zDw8P3Hrrrbj11luxcOFCJCcn4+zZsxgxYgQMBgMUCgWuv/76Ho/z3nvvxebNmzFgwAAIBALMnDmT/9pvv/2G2bNn4/777wdgCrouXrzYbvm3o7F31tx85MiRqKiogEgkQmxsLAwGA1QqFRISEqhXqZ247a5SQgghxNKHH34IjUaDadOm4ddff0VxcTH27NmDKVOmIDIyEqtXr+aPPXjwIN566y1cuHABH330EbZv345nnnkGgGlX6IYNG3Du3Dnk5+fjX//6Fzw8PBATE4NBgwbhvvvuw7x587Bjxw4UFBTg2LFjePPNN7F79+4rjvG+++7DyZMnsXr1atxxxx2QyWT81xISErBv3z4cOnQIWVlZeOyxx1BRUdHuMYqLi7FkyRLk5ORgy5Yt+Pvf/86P/XKTJ0/G2LFjMWfOHPzwww8oLCzE6dOn8dJLL+H48eM9/RYTG6AZN0IIIQRAYmIijh8/jhUrVmDu3LmoqalBWFgY5syZg1deecVqB+Wzzz6LEydOYOXKlZDL5Xj33Xcxbdo0AICfnx/eeOMNLFmyBAaDAUOHDsW3337LLy1+/vnneO211/Dss8+itLQUgYGBGDt2LGbMmNGtMV5zzTU4duxYu+4GL730EgoKCjBt2jR4enri0UcfxZw5c9DQ0GB13Lx589DS0oLRo0dDKBTiqaee6nSTAcdx2L17N5YvX46//OUvqKqqQkBAAG666SaEhob25NtLbIRjXRVvcUFKpRK+vr5oaGiAj4+PvYdDCCEuRa1Wo6CgAHFxcVazQcQ1GAwGnDp1CiNGjKClUhvqyd8NLZUSQgghhDgJCtwIIYQQQpwEBW6EEEIIIU6CAjdCCCGEECdBgRshhBBCiJOgwI0QQgghxElQ4EYIIYQQ4iQocCOEEEIIcRIUuBFCCCGEOAkK3AghhBBiZcWKFUhLS7P3MHqtsLAQHMchIyPD3kOxOQrcCCGEEAAVFRV46qmnEB8fD6lUiqioKMyaNQs//fSTvYfmcMyBUUcfR44csffwEBUVhfLycqSmptp7KDYPgqnJPCGEELdXWFiI8ePHw8/PD2+99RaGDRsGnU6HH374AQsXLkR2dra9h9hjOp0OYrG4T5/jxx9/xJAhQ6xuCwwM7NPnvBKtVguJRIKwsDC7jqOv0IwbIYQQt7dgwQJwHIejR4/ijjvuwKBBgzBkyBAsWbLEagapqKgIs2fPhre3N3x8fHDXXXehsrKS/7p5dmXjxo2Ijo6Gt7c3nnjiCRgMBrz11lsICwtDSEgIVq9ebfX8HMdh/fr1mD59Ojw8PBAXF4ft27dbHfPCCy9g0KBB8PT0RHx8PF566SXodLoOn9s8a8gYQ0NDAx599FGEhITAx8cHN954I06fPm312G+88QZCQ0Mhl8sxf/58qNXqbn3fAgMDERYWZvUhFovBGMPkyZNx8803gzEGAKivr0d0dDSWL18OANi/fz84jsP333+P4cOHQyaTYcyYMTh79qzVcxw6dAg33HADPDw8EBUVhaeffhpNTU3812NjY/Haa6/hwQcfhK+vLx555JF2S6Xm5/rhhx8wYsQIeHh44MYbb4RCocD//vc/pKSkwMfHB/fccw+am5v5x2aM4a233kJ8fDw8PDwwfPhwfPXVV/zXzY/7008/IT09HZ6enhg3bhxycnIAAJs2bcLKlStx+vRpfkZy06ZN3fredoq5mYaGBgaANTQ02HsohBDiclpaWlhmZiZraWm5qse5WKlk7/yQzRb8+wR754dsdrFSaaMRtldTU8M4jmOvv/56l8cZjUY2YsQIdt1117Hjx4+zI0eOsJEjR7IJEybwx7zyyivM29ub3XHHHez8+fPsm2++YRKJhE2bNo099dRTLDs7m23cuJEBYIcPH+bvB4AFBgayTz/9lOXk5LAXX3yRCYVClpmZyR/z6quvsoMHD7KCggL2zTffsNDQUPbmm29aPbeXlxebNm0aO3nyJDt9+jQzGo1s/PjxbNasWezYsWPswoUL7Nlnn2WBgYGspqaGMcbYtm3bmEQiYZ9++inLzs5my5cvZ3K5nA0fPrzd90Cv17Njx46x3NxcBoCdOnWq0+9XSUkJ8/f3Z2vXrmWMMTZ37lyWnp7OtFotY4yxX375hQFgKSkpbO/evezMmTPslltuYbGxsfwxZ86cYd7e3uz9999nFy5cYAcPHmQjRoxgDz74IP88MTExzMfHh7399tvs4sWL7OLFi6ygoMBqfObnuvbaa9nvv//OTp48yRISEtiECRPY1KlT2cmTJ9mvv/7KAgMD2RtvvME/9t/+9jeWnJzM9uzZw/Ly8tjnn3/OpFIp279/v9Xjjhkzhu3fv5+dP3+eXX/99WzcuHGMMcaam5vZs88+y4YMGcLKy8tZeXk5a25ubve96snfDQVuhLi4/nwDJMQWgdvFSiW76+NDbOLbv7Cb3z/AJr79C7vr40P8726LVs/K61tYYXUjK69vYS1a/VWN+Y8//mAA2I4dO7o8bu/evUwoFLKioiL+tvPnzzMA7OjRo4wxU/Dk6enJlMq2v7Np06ax2NhYZjAY+NuSkpLYmjVr+M8BsMcff9zq+caMGcOeeOKJTsfz1ltvsVGjRvGfv/LKK0wsFjOFQsHf9tNPPzEfHx+mVqut7jtw4ED2ySefMMYYGzt2bIfP3Z3AzcPDg3l5eVl96PVtP4///Oc/TCqVsmXLljFPT0+Wk5PDf80c9GzdupW/raamhnl4eLBt27Yxxhj785//zB599FGrMfz2229MIBDwv2MxMTFszpw5Vsd0Frj9+OOP/DFr1qxhAFheXh5/22OPPcamTZvGGGOssbGRyWQydujQIavHnj9/Prvnnns6fdzvv/+eAeDH98orr3T4vbTUk78buy6V/vrrr5g1axYiIiLAcRy+/vrrK97nwIEDGDVqFGQyGeLj4/Hxxx/3/UAJcVK5ChWW7zyH786UI7+qEd+dKcfyneeQq1DZe2iEdGpXRhkUKg1iAz0R4eeB2EBPKFQa7Moog1pnQGl9CxpadNDojWho0aG0vgVqnaHXz8dal/I4juvyuKysLERFRSEqKoq/bfDgwfDz80NWVhZ/W2xsLORyOf95aGgoBg8eDIFAYHWbQqGwevyxY8e2+9zycb/66itcd911CAsLg7e3N1566SUUFRVZ3ScmJgbBwcH85ydOnEBjYyMCAwPh7e3NfxQUFCAvL48/r46euzu2bduGjIwMqw+hUMh//c4778Sf/vQnrFmzBu+++y4GDRrU7jEsnysgIABJSUn8eZ84cQKbNm2yGvu0adNgNBpRUFDA3y89Pb1b4x02bBj//9DQUH7Z2fI2888lMzMTarUaU6ZMsXr+f/7zn/z3rqPHDQ8PB4B2P19bsevmhKamJgwfPhwPPfQQbr/99iseX1BQgBkzZuCRRx7Bv//9bxw8eBALFixAcHBwt+5PiLuxfAMUcByMjKGwphm7Msrw7NQkew+PkA7lVzVBJhJA0BpICTgOMpEA+VVNqG/WQW9gkIgE4AAwAFq9EfXNOoT5Crt83M4kJiaC4zhkZWVhzpw5nR7HGOswuLv89ss3BHAc1+FtRqPximMzP+6RI0dw9913Y+XKlZg2bRp8fX2xdetWvPvuu1bHe3l5WX1uNBoRHh6O/fv3t3tsPz+/Kz7/lURFRSEhIaHTrzc3N+PEiRMQCoW4ePFitx/XfN5GoxGPPfYYnn766XbHREdH8/+//Lw7Y/lzuNLPxfzv999/j8jISKvjpFJpl49reX9bs2vgNn36dEyfPr3bx3/88ceIjo7G2rVrAQApKSk4fvw43nnnnR4Hbn/k1WBymvyKV1iEOLP8qiZIhBzqmrTQGRmCvCT8GyAhjio+2AuZ5UoYGeMvONR6I+KDvaDRG8BxgPmVmwPAcYBGbz3jxhiD3sjAARAJu15cCggIwLRp0/DRRx/h6aefbhcE1NfXw8/PD4MHD0ZRURGKi4v5WbfMzEw0NDQgJSXlqs/7yJEjmDdvntXnI0aMAAAcPHgQMTExfGI/AFy6dOmKjzly5EhUVFRAJBIhNja2w2NSUlI6fG5bePbZZyEQCPC///0PM2bMwMyZM3HjjTdaHXPkyBE+CKurq8OFCxeQnJzMj//8+fNdBod9ZfDgwZBKpSgqKsKECRN6/TgSiQQGQ+9nhC/nVOVADh8+jKlTp1rdNm3aNGzYsKHTbc8ajQYajYb/XKlUAgD+eaQQJyo0uG9MNKICPPt24ITYQXWjBmqdASV1LZCJheAA1DZpIRRwiA/u3tUpIfYwOy0CRwtqUVjTDJlIALXeiBC5FLPTIiAVCaHWGcEAfsaNMUAqEsJgZFDrDGjRGaDWGkyBGwcEeUvhJe367W7dunUYN24cRo8ejVWrVmHYsGHQ6/XYt28f1q9fj6ysLEyePBnDhg3Dfffdh7Vr10Kv12PBggWYMGFCt5fqurJ9+3akp6fjuuuuw+bNm3H06FFs2LABAJCQkICioiJs3boV11xzDb7//nvs3Lnzio85efJkjB07FnPmzMGbb76JpKQklJWVYffu3ZgzZw7S09PxzDPP4IEHHrB67vPnz1stIXampqYGFRUVVrf5+flBJpPh+++/x8aNG3H48GGMHDkSS5cuxQMPPIAzZ87A39+fP37VqlUIDAxEaGgoli9fjqCgIH7m84UXXsC1116LhQsX4pFHHoGXlxeysrKwb98+/P3vf+/Bd7fn5HI5nnvuOSxevBhGoxHXXXcdlEolDh06BG9vbzzwwAPdepzY2FgUFBQgIyMDAwYMgFwubzdj1xNOVQ6koqICoaGhVreFhoZCr9ejurq6w/usWbMGvr6+/IdlbsLFShVWfpuJbceKrio/ghBHwRhDrkKFdftzsfS/Z9Ck1UMsFKBZa4Bab0B9sw5NGj1iA+lihTiuhBA5Vt+WiluGhSM+2Bu3DAvH6ttSkRAih5+nGCIhB63eCK3BCE3ra7feYERxbTOqVBo0qvXQG015a4wBVSoNmjT6Lp8zLi4OJ0+exKRJk/Dss88iNTUVU6ZMwU8//YT169cDAJ+L7e/vjxtuuAGTJ09GfHw8tm3bZpPzXrlyJbZu3Yphw4bhiy++wObNmzF48GAAwOzZs7F48WI8+eSTSEtLw6FDh/DSSy9d8TE5jsPu3btxww034C9/+QsGDRqEu+++G4WFhfz76dy5c/Hyyy/jhRdewKhRo3Dp0iU88cQT3Rrz5MmTER4ebvXx9ddfo6qqCvPnz8eKFSswcuRIAMArr7yCiIgIPP7441aP8cYbb+CZZ57BqFGjUF5ejm+++QYSiQSAKXfswIEDuHjxIq6//nqMGDECL730Ep9H1tdeffVVvPzyy1izZg1SUlIwbdo0fPvtt4iLi+v2Y9x+++24+eabMWnSJAQHB2PLli1XNSaOmbMy7YzjOOzcubPL/IJBgwbhoYcewrJly/jbDh48iOuuuw7l5eUdFtvraMYtKioKi/91EA36thk6X08x5qZHYXRcAPKqGrErowz5VU2ID/bC7LQIJITI2z02IY5CbzDi+KU67MusRGG19TKoaWmJQ0ldCxhjCPOVwUsiwpTBobgzPQpCAaULENtRq9UoKChAXFwcZDJZnzxHo1oHhUoDjd4IAWdaChVelvZiZAwGo2m5VMABYqEAoT6yK8682Ut33gMdgcFgwKlTpzBixAirTQi9sX//fkyaNAl1dXU2ybdzZj35u3HM3+BOhIWFtZuSVSgUEIlEnVZqlkqlHU5J/m3GYBwqbsbuM+XQGYxoaNbhH7/mY1dGKTLLVWho0UEmEiCzXImjBbX81R4hjkRvMGJvZiV+zKpEQ7PO6ms+HmJMSg7BxKRg+MjE0OqN2PzHJfx+0TQ7vS+zEsV1zXhswkD4yPq2ujohtmIwGlHbrIOA4+Ahtg4cRELTbUIBh5pGLYyt8xI6A4PeaEClUu3QwRsh3eFUv71jx47Ft99+a3Xb3r17kZ6e3uO2HhKRALcOj8DY+EB8+UcRzpTUAwAO5dVAodIgOsAToT4ycBxoFx5xWF8cvoRDudZpAlEBnpgyOBSj4wIgtkjKlogEeHBcLGKDvLDljyIYjAzZ5Sq8+m0mnrwxATGBlPdGHBtjzBSQtS6DCjhAJhbCQyKETCzkf98rGtTQGxkkIlNup0ZvhM5g+qhSmVZgKHgjzsquv7mNjY3Izc3lPzcn7wUEBCA6OhrLli1DaWkp/vnPfwIAHn/8cXz44YdYsmQJHnnkERw+fBgbNmy4qvXiYLkUz0xOREZxPb784xLOlhog4IBqlQYqtQ4Jwd60C484pJwKFR+0cRyQFuWHKYPDMCjUu9Pd0hzHYVJSCKL8PbDulzw0tOhQ26TFmt3ZmDcuBuMGBvXnKRDSI00aPZq1ppw2Acchwk/W4Y7Ry3eeSkUCGBlDa7znkMGbg2Qt9auJEye65XlfLbtuTjh+/DhGjBjBb3desmQJRowYgZdffhkAUF5eblVcMC4uDrt378b+/fuRlpaGV199FR988IFNarilRfnh1TmpGB7lByMz7VTS6IyoUKr5beiEOAq9wbTsaXbftTF48sZEJIV1r8RNQogcL88azP9e6wxGbPitAFuOFkFv6JvaQ4RcDb3BiNomLf95oLek0zIfUpEQrPV1HDD9K+BMAZxZdzYsEOKIHGZzQn9RKpXw9fVFQ0MDfHx82n09V6HCc9tP40JlIwQcYGRAUqgcb985jHLciMPYe74C244Vo0mrh1pnQISvBwaGePd4I43OYMSXfxTh1wtV/G1DB/jimZsSOwwAcxUq2rhDumROso6NjYWHh4dNHpMxhkqlht/97yUVIVjeeTkFc3cFvcFUDoQxU/5bpJ8HGtV6NFoEbMHyK5cKIW1suTmBtGlpaUFhYWG3Nic4VTmQ/pAQIsc7dw7HdQlB8JSIECKXYkSMH705EYfR0KzDrtNlaNLqkV2uQpVKi4Lqpl61sxILBXhgXCz+PDaG3116tqQBJ4vq2h1L7bNId5jfzLVa7RWO7D6VWs8HbUIBhwAvSZfHy8RCRPp5wNdDDKlIAF8PMSL9PCATCxHoLYG3RaBGM2/EEZj/XroTDNNlRgcSQuT44J4RWLbjLJQtOlyqbkauQkXBG3EI208UQ601oKJBDYGAw6BQ76tuZzUxKQRymRjrfjHlnO48VYoRUf4QWJQKofZZpDtEIhE8PT1RVVUFsVhs1Z+zN3QGI6qUav5zPy8JdFoNdF3chz9WCkDa+kZo0EFtMN3LS8Sg0xrQrDUFbBW1Gvh7SeApobfEKzF3AFCr1TTjZiNGoxFVVVXw9PSESHTl30H6Le2ETCzE7LQI/OuwKY/oP8dLsGx6MrXIInZ1oVKFw3k1AEz9GYO8JB32c+yNkdF+SAjxRq6iEeX1ahzJr8G4hLbNCl31jyTEjOM4hIeHo6CgoFstmbrCGKBU6/i8S6lYCK0NlzUbNXq+gG8Fx8HfU0yv8VdgNBpRXV2NwsLCqw7KSRuBQIDo6Ohu/f5R4NaF6xOD8WNWJcrr1chTNOLEpTqkxwbYe1jETRmMDJuPtL0Rjorxx7myjvs59gbHcbhtZCTe3pMDwDTDNjougE8A76p/JCGWJBIJEhMTr3q59MAFBfbmVAIAAr0kWDgpHlKx7WZ5GDP9TWVVmJb7ZwwNxPgE2lndlcbGRsycORPHjx+Ht7e3vYfjMiQSSbcDYQrcuiAUcLhzVBQ++OkiAOC/J0uQFuV3xYbFhPSFX7IVKKlrAQBEB3rintFReOnr8x32c+yt5DAfDI7wQWaZEtWNGvyWW41JSSEAuu4fScjlBALBVXVOKK5txn8zFDAYTeVunrgpHr5y218kTBsejcOXzgMA/pdVgwkpEfQa3wWtVotLly5BIpH0WWcM0jX67byCYQN8kRRmym1TKDXYn1N1hXsQYnsNLTrszCjlP79vTAwGhfp02s/xatw2IpL//7eny6DVm5apuuofSYgt6QxGfPZbPgythdduTg3vs9+zqABPpEX5AQDqmrQ4nF/TJ89DiK3QjNsVcByHu9Kj8Op3mQCAb06XYVxCICWxkn711YkSqFsLj16XGISEENMSRUKI3OYbA+KDvZEW5YeM4no0NOvwc7YCN6eG9dnzEXK5bzLK+NnlAf4efT6rO2NYODKK6wEAu89WYPzAIKuNOYQ4Eppx64bYIC9cG2/qhdqk0eP7M+V2HhFxJ7mKtg4JHhIhbh81oM+fc86ISJhzZP93rpwvxUBIXzKVnDmLN/dkI6+qEWqdAQ9fH2/Vuq0vDAz2RnK4eWVFjRMdlMMhxFFQ4NZNt42MhEhoeif7MasS1Y0aO4+IuAOjkeHfR9q6h/xpZGS/NISPCvDENa0bcRrVeuzNrOzz5yTuLVehwrIdZ/FNRhmatXpUKjWoVGmg0ffPRcOMoeH8/78/U06tmIjDosCtm4K8pbgpJRQAoDcwfH2q9Ar3IOTq7b+gQHFtMwBTMDVxUEi/Pbdp1s10sfLD+QqravOE2NqujDIU1TRDIhJAJhIiyFsCvcGIXRll/fL8g8N9EBtk2vxQXNuMs6UN/fK8hPQUBW49cMuwcL41yuG8GhRWU/0q0neUah12nGy7QLj/2uh+zbsJ9ZHhugRTioBaa8CecxX99tzE/eQpGqHRG/nG8FH+nvAQC/utTiDHcdazbmcpJYY4JgrcesBTIsKs4W1JsttPFNN0OukzXx0vQUvrhoRxCUF22b05a3gE3wrrp6xKNDR3p149IT3n7yWBRm8Eg6kXqVQs6Pc6gSOj/RDuZypxkVvZiAuV1M6NOB4K3HpoUlIwQnxMzY2zy1U4U0LT6cT2KhrUOGixIeHO9L7fkNCRQG8pJrbWcdPqjTQLQfqMXCaCVCRAs9YA1tpOrb/rBLabdaONaMQBUeDWQyKhAH8a2fYmuv1EMV9riBBb+b01aANMSdP9sSEhV6HCu3tzsHDzSby7N4dvHj9zWDgkItNLxf4cBWpoYw6xsUaNHgXVTUgOl2OAvweGRPjarU7g6NgABHqbmtifK23ApRpKiSGOhQK3XkiP8een78vr1fjtIhXlJbZjNDIcyjMFbgIBh+sS+74Fj6kMwzl8d6Yc+VWN+O5MOZbvPIdchQq+HmJMbt2YYzAyfHO6f5LFifs4lFsNvYHBSyLC/OvisP7Po/Ds1CS7pAeIhAJMT22bddt9lnI7iWOhwK0XOI7DtfGByKtqxNnSBryzNwcXK5X2HhZxEefLlHwu2bBI336ZbduVUQaFSoPYQE9E+HkgNtATCpWG39F3c2oYPCSmHpEHc2tQqVT3+ZiIe2CM4cCFtovfGwYF23E0JuMTguDjYfq7O3GpFhUN9PtOHAcFbr2Qq1DhH7/mo65Zh2atHnmKJjy3/Qy/tETI1bBcJu2P2TYAyK9qgkwkgKC1/IeA4yATCfgdfV5SEaYNMXVPYIzK4RDbuVDZyAdGg8LkiPDzsPOIAIlIgKmDTbPMjAG7KbeTOBAK3HrBPDsRE+ABmUgIT4kQpfUt/VZviLiuRo0ep1qrtstlIgyN9O2X540P9oJab4SxdZe0kbF2O/qmDA6Ft8xUDudoQS1fX46Qq3HggoL//w2J9p9tM5uYFMLPMh/Or6HcTuIwKHDrBfPshL+nBOAADqamyHmKRnsPjTi5owU1/GaXa+MDIerjVj9ms9MiECKXorCmGWX1LR3u6JOJhZhpsePuxyzqpkCuTqNGj+OFpgsVL6kIo2L87TyiNh4SIZ/bqVLr8Nz20+027hBiDxS49YJ5dkIg4CCXicEAaPUMfp59n4tEXNvvF2v4/49P6J9lUsDUPH71bam4ZVg44oO9O93RNyEpGFKx6WXjZFE99AZjv42RuJ6DudX8hcr4hEB+97KjuCklBFqDEdnlKvxRUIuLlSqrjTuE2IPI3gNwRrPTInC0oBaFNc0wGIxo1hogFQkQ6C2199CIEyuubeZLD0QHeiIqwLNfnz8hRI5npyZ1eYxUJERalB/+yK9Fs0aPzHIlhg3w658BEpdy+aaECf3Yzq275DIxxEIOGr0RnhIhREIOkf4eKKxpxq6Msiv+vRDSFyhw6wXz7MSujDJcrGzERYUKwXIpLtU0Q28w9tvyFnEt5hIgAHBdP8629dQ1sQH4I78WgCnXjQI30hs5lSpUWmxKCPOV9fsYchUq7MooQ35VE+KDvTA7LaLdLLOQE0Ao4MABqG7UIkQus9q4Q0h/o8CtlyxnJz45kIejBbVoohkI0kt6gxGH80zLpEIBhzHxgXYeUedSI30hkwih1hpwqrgeWr3R4Za4iOM7kNM22zbRDiVAzLULFSoNZCIBMsuVOFpQ2y5FIDlcjhNFdWAw1VisbdL0eysuQizRq60NjI4L4P9vnokgpCfOljZApdYDANKi/eAtddxrKrFQgBFRfgBMzefPl1HbN9IzSrUOJy6ZNiV4y0QYaYdNCVeqXWg2Oy0CUf4eaNYaoNYbcKm2pd9bcRFiiQI3Gxga6QvP1jfaU8V10OgNdh4RcTYHc51jmdTM8mLlWCFdrJCeOZTbtnt6/MAgiO2QXnKl2oVmCSFyvHPnMMQHe8FTIkKAlxhLp9unqwMhAC2V2oRIKEB6jD9+vVAFjc6I08UNVm9shFi6PK/mppQQnC4xzVr5eooxJKJ/arddjcHhPvCUitCs0SODlktJDzhKp4T4YC9klithZAwCjuuwdqFZYqgP5l8Xxzedr2vtbEKIPdArrY1YL5fWdHEkcWcd9QT96/YzUKlNbwRj4wMhFHB2HuWViYQCjIz2AwBodEacLa2363iI88iuUEHR2jItOdw+mxKA7tUutHRNrOUsc11/DZOQdihws5GkUDl8W+u4nS1tQKNGb+cREUd0eV5NTIAHKpVqvuVPf7W4sgXLi5WjBfRGRrrHUUqAdLd2odkAfw+EtgaZFytVqG/W9udwCeFR4GYjAgGH0a1XZAYjw8lL9EZG2rs8r0bT2maqWWtAfLAXwn3t36exu5LDfCBvbYF1urgeah3ldpKuKdU6/rXRWybCiNZZW3sxVwf46L6ReHZq13lrHMfhmljTJgrGwG+uIKS/UeBmQ5YlHP4ooOVS0t7lPUFrm7QwGAFPibBfOyXYglDA8S2KdAYjThfX23dAxOEdvGjZKcE+mxKuRnoMLZcS+3OuvxoHFxvoiRAf01R6ToUKdU00lU6sWebVlNY1o6S+BVKRAAP8Pa2WHnMVKry7N8fheyNeQ7tLSTcxxvDrRfvWbrtaA/w9+Jy8XAUtlxL7oMDNhjiOw5jWNzLG6I2MtGeZV+PvJUWwtxTJ4XLcMCgInhLTsmNHGxgctTfioBA5fD3acjtbtLRcSjqWWa6EQqkBAKSE+/AXuc7EtFza9hp/nGbdiB1Q4GZjY+ItdpcWUOBG2jPn1VwbH4iBwd7wkoislkm7WxjUEQgEHNJb38j0BoZTxfRGRjr264W2WoUTkpxvts0sPbatWPCxS/QaT/ofBW42Fu7rgehAU3PwwuomVLZueyfEUn2zli+h4e8lQUqYD/+17hYGdRTXWL6R0e5S0gGtvi0H0lsm4jtvOKNIPw+E+7Uul1Y2UkoM6XcUuPWBMXGWmxToioy0dzivBq37EzA+IRACi9ptl29g6KowqCNICPGGn6cEAHC+rAFNVAqHXCa7QgmdwQgASIvyg8jJNiVYslwuBYDjtLuU9DPn/etxYKPjAtA6WYIj+TVg5ndoQmBK0j6Y17ZsNH6g9W7SnhYGtTfLMgkGI8PJInojI9bMnUEAYNgAP/sNxEbSLQM3ymUm/YwCtz4Q4CVBYqipHlBlgxrFtS12HhFxJPnVTSivNy2hJ4bK2yVp97QwqCOw2l1Ks8zEAmMMZ1qXSYUCDkMifLq+gxOI9PNAhJ+p5mKuohG1tFxK+pHdA7d169YhLi4OMpkMo0aNwm+//dbl8Zs3b8bw4cPh6emJ8PBwPPTQQ6ipcbyaaWMs3siOUAssYuFQXtvvQ2cN5XtSGNQRxAd5IdDbtFyaWa6CUk29HIlJSV0LH9gkhckhEwvtPCLbsNykQLNupD/ZNXDbtm0bFi1ahOXLl+PUqVO4/vrrMX36dBQVFXV4/O+//4558+Zh/vz5OH/+PLZv345jx47h4Ycf7ueRX1l6bACft3S0sJaWSwkA0+yDOUlbJOSsXvydmXWZBOocQtqcsVgmHe4Cy6RmlOdG7MWugdt7772H+fPn4+GHH0ZKSgrWrl2LqKgorF+/vsPjjxw5gtjYWDz99NOIi4vDddddh8ceewzHjx/v9Dk0Gg2USqXVR3/wloqQGuELAKhr0uJCZWO/PC9xbCV1LfwutOQwH5eZfQCse5dSDUNidqaknv//sAG+9huIjUX4eSDS37RcmkfLpaQf2S1w02q1OHHiBKZOnWp1+9SpU3Ho0KEO7zNu3DiUlJRg9+7dYIyhsrISX331FWbOnNnp86xZswa+vr78R1RUlE3PoyvWNd1ouZQApy3exIZHuc6bGABEB3gixEcKwNQ5pKGFlkvdnUqtQ16V6aI13E/mlEV3u0KbFIg92C1wq66uhsFgQGhoqNXtoaGhqKio6PA+48aNw+bNmzF37lxIJBKEhYXBz88Pf//73zt9nmXLlqGhoYH/KC4utul5dCUtyg8SkelbfLywDvrW7fDEfVn283SF3XWWLq8qf4KKk7q9s6UNfNmbUB+ZU7Rx6wmrGoYUuJF+YvfNCRzHWX3OGGt3m1lmZiaefvppvPzyyzhx4gT27NmDgoICPP74450+vlQqhY+Pj9VHf5GJhUhrLTTZpNEju8L5X6hI7ynVOhRUm4roRvh5IMhbaucR2Z5l3s9RKsbr9sz5bU1aPfaer3CKNm49Ee7rgQGty6X5VU2obtTYeUTEHdgtcAsKCoJQKGw3u6ZQKNrNwpmtWbMG48ePx1//+lcMGzYM06ZNw7p167Bx40aUl5f3x7B7bFRM2xXZ2dKGLo4kru5cSdvsw3AnrhzflQH+FlXlFSqqKu/G9AYjzrW+5tU0aqFS652ijVtPWS+X0sUK6Xt2C9wkEglGjRqFffv2Wd2+b98+jBs3rsP7NDc3QyCwHrJQaErudtRdm4MjfPgZRArc3Ntpq911rpXfZmZeLm3S6pGraMTD/zzuMstipGfyqprQojUAMNVv8xALnaaNW09YzjJTegDpD3ZdKl2yZAk+++wzbNy4EVlZWVi8eDGKior4pc9ly5Zh3rx5/PGzZs3Cjh07sH79euTn5+PgwYN4+umnMXr0aEREOGZVeU+JCAkh3gBMxXgV1LvULekNRpwrMwVuXlIR4oO97TyivhMslyC7XIVKpQYFLrQsRnrGMp8zJVzuVG3ceiLMV4aoAFN/alouJf3BroHb3LlzsXbtWqxatQppaWn49ddfsXv3bsTExAAAysvLrWq6Pfjgg3jvvffw4YcfIjU1FXfeeSeSkpKwY8cOe51CtwyNbJtdoVk393RR0Qh16+xDaqQPhIKO8zhdweG8WhgZg6fENMMS6SdzmWUx0n1nSusBABwHPDgu1qnauPWUdTFeWi4lfUtk7wEsWLAACxYs6PBrmzZtanfbU089haeeeqqPR2Vbwwb4YsfJEgCmwO2mlI5z+Ijrsqxl5UpFSDuSX9UEb6kIWr1pF3WTxuAyy2KkexRKNd/WbWCwN4ZH+WP1banYlVGG/KomxAd7YXZahMN3BOmua2IDsPNkKQDT7tKbU8PsPCLiyuweuLmDAf4e8PUUo6FZh+xyFbR6I18mhLgHc34bx3EYEuma+W1m8cFeyCiuBwPAwbSb1sjgEstipHvOdNBU3tzGzRWF+piWS4trm1FYbVoudcVd48QxUPTQDziO45dLdQYjLlRSro87qVSqUdlgbirvDW+pa18vzU6LQKSfDC06A9R6AyqUagR7S1xmWYxcmat2S+jKNVSMl/QTCtz6iWWem+XVKHF9VkV3XXy2DTDNrLz+p6EYGukLT4kIwd5SPH1Tosssi5GuqXUGvmZlgJeEr3Pm6q6hPDfSTyhw6ydUFsR9WTXZdtH6bZdLCJHjkevjMTTSFwODvdGoMdh7SKSfnC9TwmA07R4dFuXXaUF1VxPiI+OD1MKaJjRq9HYeEXFVFLj1E0+JCImhphIQCiWVBXEXLVoDclqXxoO8pQj3da1ejV1JtZhdPF9GFyvuwnojjuvPMFsaEmE6X8aArHKlnUdDXBUFbv2os7IguQqVy/XwIyaZ5Q0wts4+DHej2QcACPWRIsBLAgC4UKnid5kS18UYw9nWGWaxUIDksP5rMegIBke0ne95WlkhfYQCt37UUZ5brkKF5TvPuVwPP2KSUWy5u869Zh84jsOQ1jcyvYHRphw3UFjTjIYWHQAgJdzH7XbPDwqVQyQ0XZydL1M6bEcf4tzc66/KzsxlQQAgp8I0A7ErowwKlcYle/i5O9PsQz0AQCoWICnM/ZLzLUufZJbR0pGrs1omjXKvCxUAkIgESGzdhFPbpEWlkrooENujwK0fXV4WJKdChfyqJshEApfs4efu8quboFKbEpQHh/tALHS/P7eUcB+YV4cpz831dVS/zd0MsVguzSyn33lie+73TmJnlstlZ0sbEB/s5bI9/NzdWTfcTXo5b6kIMYGm3+WSuhbUN2vtPCLSV+qbtSisNl1wRgV48vmN7sa8QQEAzpfSLDOxPQrc+llKuA8EAnNZkHrMTotw6R5+7izDon7bUDeo39YZ6xkIeiNzVZYbrtwtn9NSVIAH5DJTke3sChX0BtqUQ2yLArd+5ikRISHEXBZEAx+ZGKtvS8Utw8IRH+yNW4aFY/VtqVSs1MnVNWlRXNsMAIgJ9IKfp3vOPgDWMxCU5+Z6zLviX/suC3lVjWjS6t12hhkwpcSkhJsuVtQ6AwprKO2F2JZr995xUEMjfXGhtbL4mZIGTB4c6rI9/NzVaTdP0rY0MNgLUrEAGp2R32nnTmVRXJl5V3ylUo2aRi30RgaVWg+D0b1nmYZE+OJogant1blSJV2IE5uiGbc+1lGNts7quRHXcZaStHkioQBJoaYZCGWLDiV1LXYeEbEV8674IG8JpCIBPCVCMADfni6399DsajClB5A+RIFbH+qsRptap+eXzsxlQYjr0OqN/Iu1r4cYsYGedh6R/VnmuZ2n5VKXYd4Vb25pxgGQS4Vuvys+wEuCcD9Tl5T8qiY0a6n9FbEdCtz6UGc12r45XY7USNMbmbksCHEdlsH40AG+tCwI6/ZXmVQWxGXEB3uhRWfgi+6CA8BxtCsewOBwc/srhqzyttd46pRDrhbluPWhrmq0TUwKxu8XqwGYlkuHuvEuLFeRq1BhV0YZfslWoFGjR5ivzO2XSc1CfaTw95KgrkmLC5WN0OqNbldV3xXNTovAbxerkFPRCKEAEAoECPORueWuePPff35VE+KDvawKbmeWKzEqxp9fhVGoNJCJBMgsV+JoQS1tSCM9Qq+cfairGm2Dw32tyoIQ52Z+Qf72dBmK61pQqdQgp0IFmYhm2wDr9lc6gxEXaZbBJSSEyPGnkQMQ6iOFp0SE8QmBbhmEdJQW88XBQqh1piVk8ywzdcohttDrwK2+vh6fffYZli1bhtpa0+6ZkydPorS01GaDc3Zd1WjzkAityoJUKtV2Hi25GuYX5HBfGcQCzpSkzYA95yvtPTSHYblcSoVJXUdDsw4Dg70xNNIXy6anuF3QBnQckFU3aaHWmwI3hVKDKpWGOuUQm+jVUumZM2cwefJk+Pr6orCwEI888ggCAgKwc+dOXLp0Cf/85z9tPU6nlBAix+rbUq2mz2enRfAvbJZlQc6WNCB0sMyewyVXwfyCbG5xxcHUNYBekNuY218xRjvtXIXByJBdaXoN85aJMMDfw84jso/OAjLLqijny0ydcjLLlTAyBgHHUacc0iu9mnFbsmQJHnzwQVy8eBEyWVuwMX36dPz66682G5wrSAiR49mpSfjovpF4dmqS1dUolQVxHeZlcXOSNgPACUAvyBYs218V1zajoVln5xGRq1VU2wy11jSrlBzm47YbcTpLixkSab2bmjrlEFvoVeB27NgxPPbYY+1uj4yMREVFxVUPyl0M8PewKguiaZ1WJ85ndloEAr0kqGldHtEajIjw9aAX5MtYlQWhBtxOL9ti5jQ5zP2WSM06C8jmjY2Bp7St/VV8kDd1yiFXrVdLpTKZDEpl+6WOnJwcBAcHX/Wg3AXHcRga6YPfLlbzZUFoF6JzSgiR489jo/H+voto1hqQGumLv81IphfkywyJ8MX3Z0zFWTPLlBg3MMjOIyJXI8uilJG5zZM76iotJiVcjhOFdWjW6FFY08SvwhDSW72acZs9ezZWrVoFnc601MFxHIqKirB06VLcfvvtNh2gq7MsA0LLpc5NpTbwSdqLJidS0NYBc/srwBS4sdalJeJ89AYjLrbmt/l6ihHqI7XziOyrs7SYweFUfJrYVq8Ct3feeQdVVVUICQlBS0sLJkyYgISEBMjlcqxevdrWY3RplmVBzlHg5tSyK0wvyhzHYVAoBW0dsWx/1UDtr5xaQXUTX2h6cLj75rddyZAIi+LTtCmH2ECvlkp9fHzw+++/4+eff8bJkydhNBoxcuRITJ482dbjc3keEiESQ7yRU6Hiy4KE+tDuUmfT0KxDeb2ppEtckCdkYqGdR+S4hkT44ExJPQDTDERUALUEc0aWy6RJbpzfdiXBcilCfKRQKDXIVTRCrTPQ6wO5KlfVOeHGG2/EjTfeaKuxuK2hkb5826szJQ2YQmVBnI55tg1w71yf7rDcaZdZ1oCbU8PsOBrSW5YbE+h3vmuDI3yhUCpgNDLkVKgwPMrP3kMiTqzbgdsHH3zQ7Qd9+umnezUYd5Ua6YuvTpQAMC2XThkcaucRkZ7KstpdR29iXQnzkVH7Kyen1RuRq2gEAAR5SxHk7d75bVcyJMIH+7MVAEyzzBS4kavR7cDt/fff79ZxHMdR4NZDA/w94OspRkOzDhcqVdAbjBAJ6Y3MmeS0JmkLBRzfEYN0zNz+6vfW3dQXFSqrPCDi+HIVjTAYTRtLksNpmfRKksPk4DgOjDGcL6NcZnJ1uh24FRQU9OU43BrHcRgc7oPDeTXQ6o3Ir26i5HYnUtOogUKpAQAMDPGm2aNuGBLhi98vVgMwzUBQ4OZcLFMDaIb5yjwlIgwM9kKuohEVDWrUNmkR4CWx97CIk7rqdxjGGG3ptwHLHJEs2nnkVLItkrTduQhpT6SEy2HehJhJJRKcTrZV/Tb6ne+OwRGWuZ30O096r9eB24YNG5CamgqZTAaZTIbU1FR89tlnthybW7EM3GjLuHPJoiTtHpPLxNbtr1qo/ZWzUOsMfA/eMF8Z3/2FdM2qawgtl5Kr0KvA7aWXXsIzzzyDWbNmYfv27di+fTtmzZqFxYsX48UXX7T1GN1CgJcEIa1lQPKrmqDWUfsrZ8AY42cfxEIB4oOoN2l3DaEZCKd0oVLFr7Ik04VKt8UGekEmMZUBySyn4tOk93pVDmT9+vX49NNPcc899/C33XrrrRg2bBieeuopvPbaazYboDsZHC6HQqmG0chwsbLRqqsCcUxVKg3qmrQAgMRQb9pU0gPeUhHyqhrRrDVg3f5cBMsl1G3CCWSXty2TDqZl0m4TCQVIDpUjo7gejWo9imtbEB1INQxJz/XqXcZgMCA9Pb3d7aNGjYJer7/qQbkrynNzPpm0TNoruQoVPv0tHwqVBs1aPU4V1eNvO84iV6G68p2JXWVZbEygTVQ9Y1nD8Bwtl5Je6lXgdv/992P9+vXtbv/HP/6B++6776oH5a6Sw33aErYpcHMK2VQ9vld2ZZShulGLYLkUMpEQUpEA5Uo1dmWU2XtopAuNGj2Ka5sBAFEBnpDLxHYekXOxan9F6QGkl7oduC1ZsoT/4DgOn332GVJTU/Hwww/j4YcfRmpqKj799FMIBD2LBdetW4e4uDjIZDKMGjUKv/32W5fHazQaLF++HDExMZBKpRg4cCA2btzYo+d0VN5SEQb4m6bOi2ub0aih2UtHxhjjq8fLxELEBlJ+W3flVzVBJhJALjVla3AAwMAnvRPHlFOhgjk1i3ZQ91yIXIpAb9NmjguVKmj0lMtMeq7bOW6nTp2y+nzUqFEAgLy8PABAcHAwgoODcf78+W4/+bZt27Bo0SKsW7cO48ePxyeffILp06cjMzMT0dHRHd7nrrvuQmVlJTZs2ICEhAQoFAqXWp4dHO7DX9FmlyuRHhtg5xGRzpQ1qKFSm373BoXKIRRQk+3uig/2Qma5EiFy05sYg2k2Jz6Ygl9HlmNVBoRSA3rKVHzaF79eqIKhNZc5NZJymUnPdDtw++WXX2z+5O+99x7mz5+Phx9+GACwdu1a/PDDD1i/fj3WrFnT7vg9e/bgwIEDyM/PR0CAKaCJjY21+bjsKSXcBz+crwBgynOjwM1xZVksdVD1+J6ZnRaBowW1qFSqoTEYoTcweEqEuHV4uL2HRrpgzr3lONNmHNJzgyN88OuFKgCmVAsK3EhP2W0LnFarxYkTJzB16lSr26dOnYpDhw51eJ9vvvkG6enpeOuttxAZGYlBgwbhueeeQ0tLS6fPo9FooFQqrT4cWWKoNwStMzeZ5ZSo7cjMba4AIIWqx/dIQogcq29LxazhEQj3kSHUR4rEUG94SSlnylE1tOhQVm96rY0N9IKnpFdFCdye5YaOnArHfj8ijqnXf3nHjh3D9u3bUVRUBK1Wa/W1HTt2XPH+1dXVMBgMCA21bqgeGhqKioqKDu+Tn5+P33//HTKZDDt37kR1dTUWLFiA2traTvPc1qxZg5UrV3bzrOxPJhYiPtgLuZWNUCipNYqjsqzf5iUVISrAw84jcj4JIXI8OzUJQyJ8sf14MQBTK6UIP/peOqLscssZZrpQ6S1fDzHC/WQor1ejoLoZap0BMrHQ3sMiTqRXM25bt27F+PHjkZmZiZ07d0Kn0yEzMxM///wzfH17Nu3LcdZ5QYyxdreZGY1GcByHzZs3Y/To0ZgxYwbee+89bNq0qdNZt2XLlqGhoYH/KC4u7tH47GEwlQVxeMW1LWhu3TyS1NpAmvSO9e87zTI7KqsZZkoNuCpJrTP0jDHkKhrtPBribHoVuL3++ut4//338d1330EikeD//u//kJWVhbvuuqvTTQWXCwoKglAobDe7plAo2s3CmYWHhyMyMtIqOExJSQFjDCUlJR3eRyqVwsfHx+rD0VE9N8dnXb+N3sSuRlSABzxbd5dmV6iooryDMr8WCQUcEkIov+1qJFktl9LFCumZXgVueXl5mDlzJgBTYNTU1ASO47B48WL84x//6NZjSCQSjBo1Cvv27bO6fd++fRg3blyH9xk/fjzKysrQ2Nh2hXLhwgUIBAIMGDCgN6fikOKDvCARmX401BrFMWVb5KYkU37bVeE4ji8t0awxVZQnjqWmUQOFUgMAiA/2hlRES3tXwypwq6TAjfRMrwK3gIAAqFSmX7bIyEicO3cOAFBfX4/m5uZuP86SJUvw2WefYePGjcjKysLixYtRVFSExx9/HIBpmXPevHn88ffeey8CAwPx0EMPITMzE7/++iv++te/4i9/+Qs8PFwnL0YkFPAJrA3NOlQo1XYeEbGkNxhxofXF1sdDjHBfmZ1H5Pwsa4JlUcK2w8muoGVSW/L1FCOs9XWjoJp6U5Oe6VXgdv311/MzZXfddReeeeYZPPLII7jnnntw0003dftx5s6di7Vr12LVqlVIS0vDr7/+it27dyMmJgYAUF5ejqKiIv54b29v7Nu3D/X19UhPT8d9992HWbNm4YMPPujNaTg0Wi51XJdqm6HRGQGYAg7Kb7t6lr/v2ZTn5nAsAzeaYbYN88WK0Uh5bqRnerWr9MMPP4RabZoFWrZsGcRiMX7//Xf86U9/wksvvdSjx1qwYAEWLFjQ4dc2bdrU7rbk5OR2y6uu6PKE7RuTO877I/0vi3bX2Vy4rww+HmIoW3TIqVRCbzBCJLRbtSJigTHG/86LhQIqkmwjSWE+2J9jqueWQ/XcSA/0KnAzF78FAIFAgOeffx7PP/+8zQZFTAnbXlIRmjR6ZJUrYTQyvr4bsS+r6vHU9scmzHluRwtqodEZcam2GQODKQHeEVSpNKhrMpV8Sgz1hpgCapugPDfSW736C5w0aRI2bNiAhoYGW4+HtOI4jm9a3qI14FJt93MHSd/RGYy4WGla1vD3kiBYLrXziFxHMi2XOiTLHdS0TGo7lOdGeqtXgdvQoUPx4osvIiwsDLfffju+/vrrdkV4ydWjem6OJ7+qCTqDKb8tJdyH8ttsyHL2Mps2KDgMyxlmau1mW5TnRnqjV4HbBx98gNLSUuzatQtyuRwPPPAAwsLC8Oijj+LAgQO2HqPbog0Kjse6DAi9idlSsFzKdwm5WNnIB8jEfizz22RiIWIDKb/NlgZRPTfSC71OVhAIBJg6dSo2bdqEyspKfPLJJzh69ChuvPFGW47PrYX6SOFPb2QOxbKyPwVutsVxHL9cqjMYkV/VZOcRkbIGNVRqU4eQQaFyCCnP1qaSLF5DLlCeG+mmq84yraiowMcff4w333wTZ86cQXp6ui3GRWB6I0uhNzKHodEbkF9lWs4I8ZEi0Jvy22zNcrmUZpntL6vMcgc1XajYmp+nBKGteW75lOdGuqlXgZtSqcTnn3+OKVOmICoqCuvXr8esWbNw4cIF/PHHH7Yeo1uzLHZJb2T2latohMFo6mJBSdp9w2qDAi0d2Z1Vf1L6ne8TlnlueVWU50aurFflQEJDQ+Hv74+77roLr7/+Oq655hpbj4u0unyDwpwRkXYcjXujZdK+F+AlQYiPDAqlGvlVjVDrDJCJqb2SPRiNjA+evaQiRAW4TncaR5IUKscBi3puQyKonhvpWo8DN8YY/u///g/3338/PD09+2JMxIKfpwRhvjJUNKj5qXR6I7OPHOpP2i9SwuVQKNUwtO60o8Kk9lFc14xmjSm/LYk6hPQZyzw32qBAuqPHS6WMMTz55JMoLS3ti/GQDpiXj4xGRn/YdtKs1aOg2pRjGO4ng6+n2M4jcl2WQTEtl9qP5Qwz9SftO5TnRnqqx4GbQCBAYmIiampq+mI8pAODKc/N7i5WNoKZ0tusyrQQ27Ocgcim33e7yaYZ5n5zeZ5brkKFd/fmYOHmk3h3bw5yFXQBQ9r0anPCW2+9hb/+9a84d+6crcdDOpAU5gPzKgUFbvZB9dv6j6+HGJH+pnyqwpomNGv1dh6R+9EbjHx5Cl8PMcJbZ4RI37Bsf/XrhSos33kO350pR35VI747U47lO89R8EZ4vQrc7r//fhw9ehTDhw+Hh4cHAgICrD6IbXlLRYgOMBW+LKlrgVKts/OI3I/lslESzT70OfMMD2PAhUraadffCmuaodGZ6kZSflvfs5xl3pdZCYVKg9hAT0T4eSA20BMKlQa7MsrsOELiSHq1q3Tt2rU2Hga5kpRwOS7VmHKssstVGB1HAXJ/adLoUVJn6hUbFeAJb2mv/mxIDySHy/FTViUA03JpWpSffQfkZixnmCk1oO+Z89wqG9QorW+Bn4cYgtZgWcBxkIkEVMeT8Hr1DvTAAw/YehzkClLCfbDnXAUA04sqBW7950Klis9vS6Jl0n6RFCoHx5lm3GiDQv+zTMmgwrv9IzlMjsoGNTzEQqg0ehgZg4DjYGQMar0R8cHUboyY9LpzQl5eHl588UXcc889UCgUAIA9e/bg/PnzNhscaZMY6s23m6E8t/5l1WSbArd+4WWRHlBc2wwVpQf0G63eiDyFaXYn0FuCYOoQ0i/MeW5hvjLIREIU1jSjrL4FhTXNCJFLMTstws4jJI6iV4HbgQMHMHToUPzxxx/YsWMHGhtNOShnzpzBK6+8YtMBEhOpSIiBId4AAIVSg+pGjZ1H5D7MMz4cBySGUuDWX5KpvpVd5Fe39UU2bYyi/Lb+YJ7N95KIkB7rj1uGhSM+2Bu3DAvH6ttSkRBCrz3EpFeB29KlS/Haa69h3759kEgk/O2TJk3C4cOHbTY4Ys0y1yS7nN7I+kOjRX7bAH/Kb+tPlr/vWRS49Ztsqt9mF5b13OqbdVg4KQEf3TcSz05NoqCNWOlV4Hb27Fncdttt7W4PDg6m+m59yLIBt2XyMOk7lvlttEzavxJDvSFoTQ+gem79xyq/jXZQ9yvza4yB+paSLvQqcPPz80N5eXm720+dOoXISOql2VfigrwgEZl+ZFnlKjBzREH6jOUSHW1M6F8ysRDxQaY8t4oGNeqbtXYeketT6wzIb+0QEuorQ4CX5Ar3ILY0KJTSA8iV9Spwu/fee/HCCy+goqICHMfBaDTi4MGDeO655zBv3jxbj5G0EgkFSGzNc6tv1kKhojy3vpZjkd82iPLb+p1lsJxF6QF9LlfRCKPRdEGYQhcq/S6JAjfSDb0K3FavXo3o6GhERkaisbERgwcPxg033IBx48bhxRdftPUYiYVky7wfWj7qU40aPYpr2+q3eVF+W7+zyuuk9IA+Z10GhJZJ+5u/lwQhPqY8t4LqJmj01LeUtNerdyKxWIzNmzfj1VdfxcmTJ2E0GjFixAgkJibaenzEQq5ChUN51Thb2gBPiRAHc6sxMSnE3sNyWVQGxP4GBntDJOSgNzC6UOkH2ZQaYHfJYXIolGpTnpuiCYMjKIAm1npdxw0A4uPjcccdd+D2229HU1MT6urqbDUucplchQrLd57D7xer0aIzoFKpwY6TpbhYSW9mfcU6v41ePO1BIhIgoTU9oKZRC4VKbecRua5mrZ7vzjLA3wM+MrGdR+SeLAPmHHp9Jx3oVeC2aNEibNiwAQBgMBgwYcIEjBw5ElFRUdi/f78tx0da7coog0KlQVyQF4K8pfCUCNGsNWDzH0X2HprLymldmjPlt3nbeTTuy6osCOW59ZmcCosd1LRMajeWeW7UNYR0pFeB21dffYXhw4cDAL799lvk5+cjOzsbixYtwvLly206QGKSX9UEmUgAAcdBLhWBAyAUAOdK6YqsL6jUOpTUtQAAogO84Cmh/DZ7sQzcMsvo972vZFNqgEOwynOrojw30l6vArfq6mqEhYUBAHbv3o277roLgwYNwvz583H27FmbDpCYxAd7Qa03wsgYvKUiMAAGIyASUlXzvnChkt7EHEVsoBc8JEIApg0KVAanb5hr5XEc5bfZm1U9NwU1lyfWehW4hYaGIjMzEwaDAXv27MHkyZMBAM3NzRAKhTYdIDGZnRaBELkUhTXNqG3SQK03QCoSwEMspDeyPpBT0Vb8kt7E7KuguhHVKg3OljbgdHE9frtYZe8huRylxQxzTGDbDHOuQoV39+Zg4eaTeHdvDnIVtHTXH6zquVGeG7lMr9Z/HnroIdx1110IDw8Hx3GYMmUKAOCPP/5AcnKyTQdITBJC5Fh9Wyp2ZZQhv6oJ/l4SMAACjkNxbQuiAz3tPUSXkm2R35ZI+W12Y96UU1jThGatHiq1Hq9+l4X193tQGyAb6mgHtfl7r1BpIBMJkFmuxNGCWuqb2Q8sLxazy1XACDsOhjicXs24rVixAp999hkeffRRHDx4EFKpFAAgFAqxdOlSmw6QtEkIkePZqUn46L6RePj6eHi1XhVnUX0rm1KqdSjtYPaB9D/zppz4IC/IREJ4SoSoUmmwK6PM3kNzKZYtxcw5hebvfWygJyL8PBAb6AkFfe/7RYBFnlt+dRPUOspzI216/Y50xx13tLvtgQceuKrBkO5Lvqzh/LQhYXYcjWu5WEm1rByFeVOOh1gIsVAAncEIg5EhV0F9HG0pq3XGTSDg+PIrlhuiANPsvkwkQH4V5Vz1h8HhpnpuRiPDxcpGDB3ga+8hEQfR6zpuP/30E2655RYMHDgQCQkJuOWWW/Djjz/acmykCxG+Mshlprj7QqUKBiPludmKZckJ2phgX+ZNOQyAt8y0KUdvZPD3pBpjtlLbpEVlg6k+XnyQF2RiU56y5YYoADAyBrXeiPhgL7uN1Z1YFt7NLG+w40iIo+lV4Pbhhx/i5ptvhlwuxzPPPIOnn34aPj4+mDFjBj788ENbj5F0gOM4ftZNrTOgsIaugm2lrT8ph0TK5bEry005Gp0BzVrTppzoAMrptBXLVmKWpVcsv/dl9S0orGlGiFyK2WkR9him20kK80HrZCeVwSFWerVUumbNGrz//vt48skn+duefvppjB8/HqtXr7a6nfSd5DA5jhXUAjAFGwODKYn+ainVOpTVm/LbYgM9+TIUuQoVvzEkPtgLs9MiKEG7H1huyskuV0GgUCHMV4aaJq29h+YyrGaYw9t+py/fEEW/9/3LWypCdIAXLtU0oaSuBUq1jrpZEAC9DNyUSiVuvvnmdrdPnToVL7zwwlUPinRPymUN52cMDbfjaFxDTge9Gml3nX2ZN+UAwItfn0V5vRoF1aZdprRx5OowxviNCWKhAPFB1hd/lt970v8GR/jwbciyypQYEx9o5xERR9CrpdJbb70VO3fubHf7rl27MGvWrKseFOmeELkU/l4SAECuohF6g9HOI3J+1tXjaXedoxkcbkrQZsw6yCa9U9WoQW3r7GVCiDckoqtqX01sLMViBjSrnJZLiUm3L1c/+OAD/v8pKSlYvXo19u/fj7FjxwIAjhw5goMHD+LZZ5+1/ShJhziOQ3KYHIfzaqDVG1FQ3YTEUJoBuhpt/Uk5vn4b7a5zHIMjfPBTViUA0xLfiGh/O4/IuWV3skxKHENiiBwiIQe9gSGz3NQ1hOOoW4676/bl1fvvv89/bNiwAf7+/sjMzMSGDRuwYcMGnD9/Hn5+fti4cWOPBrBu3TrExcVBJpNh1KhR+O2337p1v4MHD0IkEiEtLa1Hz+dqrJZLaQbiqjS06FBeb9pdFxfkSbvrHFBSqJx/46KddlfPchbHPMNMHIdEJODLs9Q0alGl0th5RMQRdHvGraCgoN1t1dXV4DgOgYG9W3fftm0bFi1ahHXr1mH8+PH45JNPMH36dGRmZiI6OrrT+zU0NGDevHm46aabUFlZ2avndhXWFbaVuHU47fjqrQtW9dusd9cdLahFYU0zZCIB1Hoj7a6zEw+JEPHBXshTNKK8Xo26Ji2fLkB6hjHGLzdLxQLEUvcVh5QS7sPPjGaWK/nCvMR99Tihob6+HgsXLkRQUBBCQ0MREhKCoKAgPPnkk6ivr+/RY7333nuYP38+Hn74YaSkpGDt2rWIiorC+vXru7zfY489hnvvvZdfpnVnQd5SBHmbOlfkKhqh1VOeW29ld9D2B2jbXXfLsHDEB3vjlmHhtDHBjgZftimH9E55gxoNLToApt6YIiHltzki6993WlUhPdxVWltbi7Fjx6K0tBT33XcfUlJSwBhDVlYWNm3ahJ9++gmHDh2Cv/+V8060Wi1OnDjRrkXW1KlTcejQoU7v9/nnnyMvLw///ve/8dprr13xeTQaDTSatullpdL1XuiTw+X4/aIGBiNDXlWj1fIp6T7L/Dbz8oQZ7a5zHCnhPvj2tGljSGa5EuMSguw8IudkWb+NlkkdV2ygFzwkQrRoDciiPDeCHs64rVq1ChKJBHl5efjkk0+waNEiLF68GP/4xz+Qm5sLsViMVatWdeuxqqurYTAYEBoaanV7aGgoKioqOrzPxYsXsXTpUmzevBkiUfdizjVr1sDX15f/iIqK6tb9nInliy7NQPROQ3PH+W3E8QwM9uJ3P5oTtknPWc7epNDGBIclEHD8CkCTRo/i2hY7j4jYW48Ct6+//hrvvPNOu2ALAMLCwvDWW291WCakK5dfOXR2NWEwGHDvvfdi5cqVGDRoULcff9myZWhoaOA/iouLezQ+Z2D5okslEnonp7J9GRDimERCAQa17p5uaNahvLVdE+k+y/w2T6kIUf6U3+bILFdRaFMO6dFSaXl5OYYMGdLp11NTUzudLbtcUFAQhEJhu+MVCkWHgaFKpcLx48dx6tQpvjOD0WgEYwwikQh79+7FjTfe2O5+UqkUUqm0W2NyVn6eEoT6ylDZoEZ+dRPUOgPNGHWTuSPCz9kKNGn0CPOVUWN5J5AS7oNzpaY3sMwyJSL8POw8IudSXNuCJo0egCmfUyCgpTdHZt23VIWbU6nYujvr0YxbUFAQCgsLO/16QUFBt3eYSiQSjBo1Cvv27bO6fd++fRg3bly74318fHD27FlkZGTwH48//jiSkpKQkZGBMWPG9ORUXI75isxoZLhY2Wjn0TgHc0eE786Uo7SuBZVKDXIqVKD3MMc3JILSA67G+bK2WZtkulBxeGE+Mvh5mnZPX6hQQUfF1t1ajwK3m2++GcuXL4dW275PoEajwUsvvdRhK6zOLFmyBJ999hk2btyIrKwsLF68GEVFRXj88ccBmJY5582bZxqoQIDU1FSrj5CQEMhkMqSmpsLLy71ralm++GZV0BtZd5g7IkT6ySAScPCUCGFkwP/OdW/WmNjPAH8PyGWmBYPsShUMRspz64lzFoFbaqSvHUdCuoPjOD4lRmcwUvFvN9ejpdKVK1ciPT0diYmJWLhwIZKTkwEAmZmZWLduHTQaDf71r391+/Hmzp2LmpoarFq1CuXl5UhNTcXu3bsRExMDwLQ0W1RU1JMhui3L5T3Kc+sec0eEZq0BAMAB8JII6UXRCZjeyHxwtKAWaq0BhTVNGBjsfeU7Eqh1Bn5WPshbihC5a6eSuIrBET44nFcDwJTnRikd7qtHgduAAQNw+PBhLFiwAMuWLeN3c3EchylTpuDDDz/s8a7NBQsWYMGCBR1+bdOmTV3ed8WKFVixYkWPns9V+cjEGODvgZK6FlyqoQbc3REf7IXMciX0rbM1DAA4UEcEJ2EO3ABTnhsFbt2TXdE2Q5k6wJdKSziJy+u53TbCjoMhdtXjd/a4uDj873//Q11dHS5evAgASEhIQEBAgM0HR3omKcwHJXUtfANu6uPYNXNHBHNJCSMD4oO8qCOCk7BO2FZiFnUN6ZazpRbLpBG0g9pZ+HlKEO4nQ3m9GvlVdHHuznpdKtvf3x+jR4/G6NGjKWhzECnhcjRp9cirasTLu87j3b05yFXQsmlnEkLkeP7mJAR6SeApESE5TI41tw+ljghOIshbihAf0zJfnqIRap3BziNyDpmt+W0CAUfFup3M4HBTPqJlORfifqjHiQsRCThkV6hQqdSgpK4Z350px/Kd5yh460Kz1oCBwd4YGumLeWNjKWhzMubAw0C7qbtFoVRDoTR1kkkM8aayQU7GsmYntb9yXxS4uZC9mZUwGhk8JUIIOQ4D/GRQqDTYlVFm76E5rHOlbTtwaXed86G+pT1jtUxKv+9OJylMDnNKIhXidV+0QO5C8qua4CUR8TV+mrUGyEQC2iXZCYOR8fWsPKUixAfRpgRnkxzuA44DGDPluZGuWV6oDKXAzel4SkSIC/JCflUTyuvVOHmpFr/kVCG/qgnxwab8XFo1cH004+ZC4oO9wAlad0cCUKn1UOuNtEuyEwXVjWhpLQUyJMKHqsc7IW+pCFEBpnZNxbXNUKp1dh6R49IZjHxjeV8P0y504nzM6QFNWj3+1lpAPL+qkVJj3AgFbi5kdloEIn090KIzQK03oLxBjRC5lHZJduJMSdtSA80+OC/L5dJsyvvp1MXKRmj1ptn4IZFUBsRZmXdTVzSooVBpEBvoiQg/D8QGelJqjJugwM2FJISYdkWmhMvhKREh0FuCJVMSaeq8E5bLRkOoLILTsioLUkZ5P52x6pZAv+9Oa2CwN8RCU+Fwg9EIc/gt4DhKjXETlOPmYhJC5Jh/XTz+e6IEANCkpRIJHVGqdbhUY3qBiwrw5PsAEueTGCKHRm9ASV0LLlSqUNOkpVyfDpxv3ZjAcaYZN+KcxEIBBoV6I7tCaUqH0RngIRHByBilxrgJmnFzQakRbS/KZ0soYbsj52h3ncsoqm1CflUTKpUa1DVr8XVGKeX6XKauSYuSuhYAQGygF7yldM3uzFLCfRDmK4NUJEBedRPK6ltQWNNMqTFugv56XVBUgAd8PcRoaNEhu0IJncEIsZBidEuWgRvltzm3XRll0LWWweEA+HtK+FyfZ6cm2Xt4DuF8GZW9cSWDI3zgJREhubWuW6CXlHaVuhEK3FwQx3EYEumLQ7nV0OqNuFjZaJUH5O6MRsbnt8kkQgykpQWnll/VBB+pCA0tph2ljWo95fpcxrp+G70WOLvoAE94tc6aekiE+ODuEbQr3o3QNIyLskw+tpxdIkBhTROaNHoAph2JIpqNdGrxwV4wMAZh6xuXSq1Di85AuT6tjEbG17jzkAgRF+SNXIUK7+7NwcLNJ6k1nhPiOI6fbWvRGnCpttnOIyL9id6xXJRpu7/p/+dop52Vc7Rs5FJmp0Ug1EcGnZFBrTegUWOAt1REuT6tCmqa0Nx6oTIkwhcF1Y1YTvW/nJ5lGZzMMspldicUuLkob6mpwjYAlNa1oLZJa+cROY6zJfX8/ym/zfklhMix+rZUTEoKhqdEhFAfKaYMDqVcn1bnLlsm3ZVRRvW/XAC1e3NfFLi5MMvZJFouNWnU6FFQbcp9ivDzQIAXlQFxBQkhcrw6JxXDBvhhYLA3KpRqew/JYVj+7Q+J8EV+VRNkIgEErVPyVP/LOQXLpQj0Nr1+XVSo+OLKxPVR4ObCLAO3sxS4ATAtKbDWnmA02+ZaPCUiJIZ6AwAUSg0qGih4s7xQifQ3XajEB3tBrTfC2PqHQPW/nBPHcXz7K72B4SItdbsNCtxcWFygF7/zKLNcCb2BrsgsA9ghtLvO5Qwf0BaMn7FYEndXlhcq5vqOs9MiECKXorCmmep/OTnLi/OM4nr7DYT0KwrcXJhAwPGtnNRaA3/lDcAtd5UxxvhlI4lIgEGhlAPlaoYN8OP/b9mL1l11dKFizgm8ZVg44oO9ccuwcKy+LZVyAp1QaoQvv5v6VFE9mDlKJy6N6ri5uNRIXxwtqAVgehFPDJUjV6HC8p3noFBpIBMJkFmuxNGCWpd/8S6ubYGytdZXcpgPFSV2QeG+MgR6S1DTqMWFShXUOgNkYqG9h2UXjDGcL2u7UEm0+NtOCJFTcWIX4CERIjncB+dLG1DXpEVxbQuiAz3tPSzSx+idy8UNsarnZtp55K67yixnH4YNoPw2V8RxHD/rZjC2BS7uqKSuBQ3NpguVpDA5JCJ6uXdFI6L8+P+fKq6z30BIv6G/ZBfn5ylBVIDpCuxSTROUap3b7iqzrGdH+W2uazgtlwK4rAxIBF2ouKo0y8CtqN5u4yD9hwI3N3B5WRB33FXWrNXjYmUjACDER4YQuczOIyJ9JSlMzi+Dny1pcNu8H8sLlaE0w+yy/L0kiG2t2Vlc24zqRo2dR0T6GgVubsCy7MX5UqVb7irLKlfyb+BUBsS1SUQCvkxCQ4sOl2rcrx2QWmfgL1SCvKUIkUvtPCLSlyxn3TJo1s3lUeDmBgYGe/EJ2ufKGjAw2NvtdpWZ8/sACtzcwbAoi7IgbljDMLtCBYPRdKGSOsAXHEcNyF1ZGuW5uRXaVeoGREIBBkf44OSlOjSq9SisaXarXWWMMX5jgkjIYVCYt51HRPraMIvg/ExxPW4d7rqzyR2xzm+jfE5XN8DfA8FyKapUGuRUNKJJo+dreBLXQzNubsJyd6m7dVEoa1CjrrVXa1KYD6Qi9ywP4U4CvaUY4O8BAChs3ZTjTsy7aYWCtur6xHVxHMfPujHG3HpTjjugwM1NpFrlubnXH/XZEpp9cEdDW3eXMmb9O+DqFEo1FEpTgnpCiLfb1rFzNyOi/fn/UxcF10aBm5sI8pYi3M+0kzKvyjSV7i7OWdVv87PfQEi/sm5/5T6Bm+Vu0lTK53QbCSHe/PLo2dJ66KjFocuiwM2NmGs5MWbqXerqchUqvPm/LGw/UYy8qkaIhRxCfWh3nbuID/aGZ+sb2bmyBrfp1Xu2hDbiuCOhgOMLi2t0RmSXu34bQ3dFgZsbubyemyszt/XalVGGJo0elUoNsitUyKtqtPfQSD8RCjh+aVytNSDXDX72LVoDMstNf9u+nmI+z4+4hxHRfvz/aXep66LAzY0MCrUoTFrq2oVJzW29vKUiyERCeEqE0OiNLt/Wi1izajpf7NoXKwBwuqQeeoPp73pktD+VAXEzQyJ8IRKafuYZxdR03lVR4OZGJCIBksJMtdoamnUoqWux84j6Tn5VE6RCDo2tuXwCDvCRiVy+rRexNnSAL8yxy5nSeruOpT8cL6zl/39NbIAdR0LsQSYWYnC4aWWloVmHgmp6vXNFFLi5maFuslwaH+yFJq0BGr0pr8lTIoLWwFy6rRdpz1sqwsBgU92+8no1qlSu2w6oRWvgS/34eIiRGEL1Ct2R5XIp7S51TRS4uRnLnoWWu89czey0CHhIhGjWGqDWG9CiM7h8Wy/SMcvf+R/Ol+PdvTlYuPkk3t2bg1yF6yRwm5dJm7R61DVp8dSWUy53juTKhkf58bPM1HTeNVHg5mZC5FIEt/YtvFjZCLXOYOcR9Y2EEDlGRvsj1EcKT4kI01PDXL6tF+nY8NY8tyatHuv35+G7M+XIr2rEd2fKsXznOZcJbI4X1qJJq0d2uQoXFY0ueY7kynw9xIhvnWUuq2+BQqm284iIrVHg5mY4jsOQ1uVSg5Ehy0XLgtQ0alCl0mBgsDcmDw7FiluHUNDmpgb4e8DfS4KKBjXqmnWI8vdAhJ8HYgM9oVBpXGLDilpnWiataFBDZzQiMcTL5c6RdJ9l79KTNOvmcuweuK1btw5xcXGQyWQYNWoUfvvtt06P3bFjB6ZMmYLg4GD4+Phg7Nix+OGHH/pxtK7BKs+tzDUDtz8K2pK0r40PpN11bozjTPWtmrUGCDigWWuaZRZwHGQigUtsWDldbFombdYaIJeKIBSYXtpd6RxJ91Gem2uza+C2bds2LFq0CMuXL8epU6dw/fXXY/r06SgqKurw+F9//RVTpkzB7t27ceLECUyaNAmzZs3CqVOn+nnkzi05TA6hwBTInC1xzS3jf+TX8P+/Np5217m7oZG+8JQIYTACDS2mvqVGxqDWG11iw8rxS6aaXZ4SIYQCAYytf9OudI6k+8J9PRDqa+qUk6tQQeVmvXpdnV0Dt/feew/z58/Hww8/jJSUFKxduxZRUVFYv359h8evXbsWzz//PK655hokJibi9ddfR2JiIr799tt+Hrlzk4mFSAw15UDUNGpR3uBaORDFtc18qZOBId4IkcvsPCJibynhPhjg7wGpSIDyBjVK65pRWNPsEhtW1DoD34t1YLA3Iv1kKKxpRll9i8ucI+m5EXzTefdq+eYO7Ba4abVanDhxAlOnTrW6ferUqTh06FC3HsNoNEKlUiEgoPMZFY1GA6VSafVB2hK2AeCIxeyUK7BeJqXZNmK6WBkZE4DkcDmCvCUI9/PALcPCXWLDyunitr6UE5OC8fqfhuKWYeGID/Z2mXMkPWfVRaGIuii4EpG9nri6uhoGgwGhoaFWt4eGhqKioqJbj/Huu++iqakJd911V6fHrFmzBitXrryqsbqiMXGB+M/xEjDGcDivBreNiHSaPLBchQq7MsqQX9WE+GAvzE6L4N+YGGN8IMpxHNKpCClpNSzSF+dLGzAw2Bt/GjkAM4eF23tINmFeJgWA9NgAJITI8ezUJDuOiDiC+CBvyGUiqNR6nCtVQqM3QCoS2ntYxAbsvjnh8mCBMdatAGLLli1YsWIFtm3bhpCQkE6PW7ZsGRoaGviP4uLiqx6zK/D1FCM10tTHsbZJi+wK5ygXYO5B2llJhwuVjahr0gIAUiN94CMT23O4xIEMi2rblHOmpN5+A7Ehy2VSuUyEQaE0s0ZMBAIOw1uXS3UGIzJddCOaO7Jb4BYUFAShUNhudk2hULSbhbvctm3bMH/+fPznP//B5MmTuzxWKpXCx8fH6oOYjBsYxP//UJ5zLJeae5DGBnp2WO7giNWmhEB7DZM4oBC5DGGtCdt5VW0BvjM7U9LAL5OOjPHnNx0RAgAjov35/9PuUtdht8BNIpFg1KhR2Ldvn9Xt+/btw7hx4zq935YtW/Dggw/iyy+/xMyZM/t6mC4tLcoPMolp6vzEpVqnKMabX9UEmUgAQeusrGW5A53BiGOtvRqlYoFVLSNCgLb+nYwBhzvJ7cxVqJymu8Ixi96k6TGUFkCsDQ73gURkeps/XVwPo9H1Kgi4I7sulS5ZsgSfffYZNm7ciKysLCxevBhFRUV4/PHHAZiWOefNm8cfv2XLFsybNw/vvvsurr32WlRUVKCiogINDbRjpjckIgGuiTFdkWl0RqdojxIf7AW13thhuYOzpQ1oaa3RNSLKHzIx5XMQa+MS2mZhf8+tblcK50pL8Y7EcpnUWyZCUhgtkxJrEpEAqa11O1VqPfKrG+08ImILdg3c5s6di7Vr12LVqlVIS0vDr7/+it27dyMmJgYAUF5eblXT7ZNPPoFer8fChQsRHh7OfzzzzDP2OgWnNy6hbbn0cF61HUfSPbPTIhAil3ZY7oCWScmVhMhlGNQa4FQ2qJFfbV2Y9kpL8Y7kbGnbMukoWiYlnaAuCq7HbrtKzRYsWIAFCxZ0+LVNmzZZfb5///6+H5CbSQzxRpC3FNWNGmSWK1HXpIW/l8Tew+pUQogcq29LbberNMLPA6dbczjkMhEGR1AuI+nYdQlBuNC6GedgbjUGtvZ1BLpeinc0lsuko2L8uziSuLNhA3zBcab0gGMFtbhj5AAIKMh3anbfVUrsi+M4jB1omp1izDlqupnLHXx030g8OzUJCSFynLxkavkDANfEBdDsA+nUqBh/SMWml74/Cmqh1Rv5r3W1FO9I1DoDzhS3LZMmh9GFCumYXCbGkAjTcmltkxbnyii1yNlR4EYwbmDbsuLBvPZ5P86AlklJd8nEQoxqTeRXaw1WxUm7Wop3JJbLpCOjaZmUdC5XoUJZfQvOljYgr6oRO06W2HtI5CpR4EYQ4iNDQohpuai8Xo2i2mY7j6hn6pu1yK4w1SgK8ZEiPsixZkeI47nOIrfz99y23E7zUryjdx44XmhZdJeWSUnHzJttjhXWQqMzoFKpwdcZZThxqfbKdyYOy+45bsQxjB0YiFyFacfRobwaxAQ6T/DzR0EtzJOEY+ICnaYDBLGfQaHeCJZLUaXSIKtcidomLQJaczsdvfOARm/gCwh7SWmZlHTOvNkmLsgLXhIRKpRqNGsN+MeBfHwyj8rHOCuacSMATPWtREJTwPNHfg30BuMV7uE4aJmU9BTHcfyOasaAQ06wo9rsbEkDn5dHu0lJVyw32wR4ScBxgFAAnC9TwkA13ZwWBW4EgOnKPS3KtOSiUutx3knao5TVt6CoxrS0GxPoxVfGJ+RKrHI7O6jp5qiO0TIp6SbLzTYSkQByqQgGIyASci7T9s0dUeBGeJZvZM7SAst6to2m/kn3BXlLkRxuyl1TKDXIq3L84qS0TEp64vLNNhq9EVKRAGG+Mhy4UGXv4ZFeosCN8IZE+EAuM6U9niqqQ5NGb+cRdY0xhj/yTUm2HAeMjqPAjfTMeItNCr9ddPzl0nOlbcukI6P9aJmUdOnyzTZ/GhmJMfEB8JKIcK60AdWNGnsPkfQCBW6EJxIKMKY1R8xgZFYFPh1RXlUj/8KTEu4DP0/HLRxMHNPI6LbWaMcL6xy+X6/1MildqJArs6x7+dy0ZNwyzFTahjHgV5p1c0oUuBErlsulhx18ufRwfltgSZsSSG/IxEI+T0ytM+CkRU03R6PVGy9bJnWsEiXEOVyfGMTvvP/9YrVTbUQjJhS4ESvRAZ6I9PcAAOQqGqFQqu08oo7pDUYcb50RFAsFGBlNSdqkd65PbFsuPZjruMulxwtrodGZ3mRHRPtBJKSXb9Jzfp4SjIj2AwA0tOhwmjYpOB36yydWOI5zik0K58uUaFSbcvCGR/nBQyK084iIsxoY7I0QH9Nu5OxylUPm/RiNDN+fLec/t8zNI6SnJgwK5v+/P4eWS50NBW6knWvjA2GuYXvIQVtg0W5SYiscx2F8Qs8vVnIVKry7NwcLN5/Eu3tzkKtQ9dUQcaKoDhUNptnvxFA5BoXSMinpvSERPgiWSwEAmWVKh11ZIR2jwI204+cpweBwU5mBmkYtLiocq0xCo0aPjOJ6AKZcn6GRvvYdEHF64wYG8RcrBy9e+WLF3ErouzPlyK9qxHdnyrF857k+Cd4YY/j+TNts2y3Dwm3+HMS9cByHGyxm3ag0iHOhwI10aOxAx8372XOugi+JcE1cAOX6kKsW4CVBSuvFSnWjBhcqu75YMbcSig30RISfB2IDPaFQabAro8zmYztT0oDi1v7BsUFeGBJBtdvI1bsuMYgvJ3MwlzYpOBN6xyMdGhHtB6nY9OtxvLCOD5Tsrb5Zix8zKwEAQgGHmUNp9oHYRmeN5zti2UoIAAQcB5lIgPyqJpuOiTGG7860BYMzh4VTL15iEz4yMUbGtHXLOVlUb98BkW6jwI10SCYWIibQE3lVjThWWIul/z3Tpzk83fXtmXLoWq8Mb0wO4RuDE3K1RkT785tcTlyq7bKmm2UrIQAwMga13oj4YC+bjim7QsUHg5H+HhgR5WfTxyfuzXqTgsKOIyE9QYEb6VCuQoXfL1ajUqlBs1aPH7Mq8bcdZ+0avCmUar5gpFQswAzK9SE2JBEJ+O4bGp0RJy51XtPt8lZChTXNCJFLMTstwqZjspptG0qzbcS2ksPkCG3t75xToeI3wBDHRoEb6dCujDKo1HoEeIkhEwkhFgpQVNvS6xweW+zA++Z0GYxG0wzH1MFh8JGJezUWQjozvpvLpZe3ErplWDhW35aKhBDb7fbMVTQiu9z0dxLiI8M11CmB2BjHcVazbgcu0KybMxDZewDEMeVXNcFDLESIXIb8qkZwAJq1elyoaB9w5SpU2JVRhvyqJsQHe2F2WoTVG5h5B55CpYFMJEBmuRJHC2p79EZXXNvMlwDxkoowbUiYTc6TEEvxQV4I9ZWhskGNCxUqKFRqhMhlHR5rbiXUVyx3ks4YGob86sYu/84I6Y3xCUHYcbIEegPDwdwa3DZiACQimtNxZPTTIR0y5/B4SYXw9RSDAdAZGLSX7TzqTlkEW+zA+/pUKcwVGmYMDaeCu6RPcBxntUnBMnjqT0U1zXx7qwAvCULk0n4rP0Lci7dUhPQY02xuk0aP45ccu0c1ocCNdMIyh0fAAS06A6QiAdQ6A1+aAOheUHa1O/ByFY183TY/TwluTA6x3YkScpnxCUF84/nfL1Yjs0zZ72P47mzb38/0oWH47kx5v5UfIe5nYhLVdHMmFLiRDlnm8AwK9cENiUFIDpfDUyLCl0eL+AKl3QnKrmYHHmMMO06W8J/PGh5O0/ikT/l6iHFH+gD+838eLuxyh6mtldW34GTrxghfDzGuSwjut/IjxD0lhHjDUypEXlUjdp4sxYs77bsRjXSN3gFJp8w5PB/dNxJ/v3ck4oJMgdaFChWOFpim07sTlF3NDrzzZUrkVJgTtKVWy1iE9JWJg4IxKMyUP1al0mBXRmm/Pffus+V8WsDUIWGQiAT9Vn6EuKe8qkbkVKj4KgK7Tpdh2X8peHNUFLiRbhELBbj7mmj+823Hi6HWGboVlPV2B55ptq3tDXNOWiR1SSD9guM4PDA2FuLW37d9mZXIq+r71m8KlRpH8k0XRV5SEb+E1V/lR4h72pVRBq3eiEBvCWQiISRCAfKrm2gp3kHRrlLSbcOj/DBsgB/OlNSjoVmHb0+X4c70KKy+LfWKu916swPvZFEdLtWYloKiAjz5GluE9IcwXxlmp0XgqxMlYAzYdLAQr8wa3KcXD3vOVfBpCJMHh/K5duaLH9pVSvqCuYpAgJcEFxSNgJFBrTd0WcuQ2A8FbqRH7hkdhfNlDTAYGfZlVuL6xOA+KYtgMFrPtv1pZCQVHyX9buqQMBwtrEVR60zX92fLMTstsk+eq7ZJi98vmmrHySRCTE6x3oTT1+VHiPuKD/ZCZrkSEpEAkb4yFNe1wGA09e1taNbB15NqZjoSWnciPRLiI8P0oaYaagYjw5d/XOJnCGzpcF4NX8U7IdQbQyN9bf4chFyJUMDhL+PjIGhtxv39mXKU1DVf4V6988P5ChhaC0zfmBQCTwldV5P+YbkUr9YZYGAMUpEAAV4SbDxY0Cev8aT3KHAjPTZjaDjfI/R8mRKnWkt12IrOYLRKBr995ACabSN2ExXgiempbRcrmw4W8h08bEWp1uFAjqkMg1gowJQhoTZ9fEK6YpmHPDBEjrnpUUiP9YeXRIRzpQ34KYs6KjgSCtxIj0lFQsy9Jor/fOvRImj1xi7u0TMHcqpQ26QFAKRG+mJQKOXxEPu6ZVgE39OxoLoJP2ZV2uyxGWP4+lQpdK3FrScmBVM7N9LvLKsILJuRgkWTB/Ff++pECUrrW+w4OmKJAjfSK6Ni/JES7gMAqGnU4n/nbFNhPrOsAW//kI2zpQ3Iq2rEqBg/mzwuIVdDIhLgL+NjYZ743XGyFArV1Tfk1huM2PB7AT/bJhRw1M6NOITUSF/clGKa+dUZjPj013z+4oLYFwVupFc4jsO9Y6L53J//na1AlUpzVY+ZUVSHR/55HEW1LWjW6tHQosNHv+RRLSHiEBJC5JjU2rVDZzDii0OFV5X706zV4/0fL+BwnqkHL8cB946Jhn9rGgIh9nbHqAGI8PMAYOoXvfNk/9UzJJ2jwI30WoSfB6ZYXJFt/uNSr5dMz5U24IX/nkFtkw6eEiE8xCKkhMmprQ9xKLePHMDnd2aXq/B7bnWvHqe6UYM1u7ORXW66KBELBXhi4kBMTKJ2bsRxSEQCPHpDPIStF+h7MyuQU9H/LeCINQrcyFWZNTwCvh6mfJyzJQ1YvvMsDuVWdzt5W2cwYtuxIry/7wLqmnUQCkxvYnFBnvCQiKitD3EoMrEQ88bG8p9vO1aM+mZtjx7jUk0TXv8+C2WtOUPeMhH+enMSRsVQnULieKICPPGnkaYWcIwBXxy6ZOcREQrcyFXxkAhx/9gYPventkmLDb8XYNV3mThX2tDlUlJFgxqrv8/C3vOmRG9PiRAioQCJIV6Qy8TU1oc4pKEDfDF2YCAAoEVrwLt7L+DHzEo0NOuueN/TxfV4c082GlpMx4b4yLB8RgoGBnv36ZgJuRrThoTyOc0NLT27UCG2xzE3K9CiVCrh6+uLhoYG+Pj42Hs4LqO4thlfnSjBudIGq9sHR/jgzlFRiA705G9jjOH33Gp8+UfbblShgMP1iUH49nQZqhq1kIkEUOuNCJFLu9Uei5D+1KjR48WdZ6FS6/nbOA5ICpNjdFwgRsX4w1tqXYftl2wFNv9xie9DmhDijaduSmx3HCGOqLZJi2f/k4GLJQocfHkWvYfaEQVuxKayypXYfryEb1Vldm18IG4bGQlPiRBfHLqE44W1/NfCfGV4fMJARAV4IlehorY+xCnkVTXin4cKUVLXvkyCQMAhNcIX18T5Iy3KD9+dKccP5yr4r6fHBmD+dXGQiGjRgziHXIUKT285hdzSKlx8+w56D7Ujuwdu69atw9tvv43y8nIMGTIEa9euxfXXX9/p8QcOHMCSJUtw/vx5RERE4Pnnn8fjjz/e7eejwK3vMcZwtKAWO06WorqxbaepUMDBWyril4kAYEJSMOZeEwWpSGiPoRJy1UrqmnGssBZHC2qhULbfWc1xgOWr7M2pYbhjFBWVJs7l3b05+O5MOZimCQdevIXeQ+3IrnP027Ztw6JFi7Bu3TqMHz8en3zyCaZPn47MzExER0e3O76goAAzZszAI488gn//+984ePAgFixYgODgYNx+++12OAPSEY7jMCY+ECNj/LE/pwrfni5Dk0YPg5HxQZunVIQHx8VQQjZxegP8PTHA3xNz0iJRWNOMYwW1OFpYi7rWItLmoI3jgPuujcEk2jlKnFB+VRNkIgH8PTzsPRS3Z9cZtzFjxmDkyJFYv349f1tKSgrmzJmDNWvWtDv+hRdewDfffIOsrCz+tscffxynT5/G4cOHu/WcNOPW/5q1evzvbAX2ZVZCZzBiUJgcj1wfz5dVIMTVMMaQq2jEHwW1OHGpDowxPDQ+DsOj/Ow9NEJ6xTzjFuFpxJcLb6L3UDuy24ybVqvFiRMnsHTpUqvbp06dikOHDnV4n8OHD2Pq1KlWt02bNg0bNmyATqeDWNy+TYxGo4FG07Z8oVRSDZr+5ikR4fZRAzBlSCgUSjXig7z5wr2EuCKO45AYKkdiqBz3XxsDxhgtjRKnNjstAkcLalFUVXvlg0mfsltmbHV1NQwGA0JDrZsph4aGoqKiosP7VFRUdHi8Xq9HdXXHhTDXrFkDX19f/iMqKqrD40jf85GJkRAip6CNuB0K2oizMzeiv5lastmd3bc0Xf6CdqUr046O7+h2s2XLlqGhoYH/KC4uvsoRE0IIIe4nIUSOp25KtPcw3J7dlkqDgoIgFArbza4pFIp2s2pmYWFhHR4vEokQGBjY4X2kUimkUqltBk0IIYQQYkd2m3GTSCQYNWoU9u3bZ3X7vn37MG7cuA7vM3bs2HbH7927F+np6R3mtxFCCCGEuBK7LpUuWbIEn332GTZu3IisrCwsXrwYRUVFfF22ZcuWYd68efzxjz/+OC5duoQlS5YgKysLGzduxIYNG/Dcc8/Z6xQIIYQQQvqNXeu4zZ07FzU1NVi1ahXKy8uRmpqK3bt3IyYmBgBQXl6OoqIi/vi4uDjs3r0bixcvxkcffYSIiAh88MEHVMONEEIIIW7B7p0T+hvVcSOE9Bdq4UZcDb2H2h91NyaEkD6Qq1Bh+c5zUKg0kIkEyCxX4mhBLVbflkrBGyGk1yhwI4SQPrArowwKlQaxgZ4QcByMjKGwphm7Msrw7NQkq2NpZo4Q0l0UuBFCSB8w93YUtNaYFHAcZCIB8quarI6jmTlCSE/YvQAvIYS4ovhgL6j1Rhhb04iNjEGtNyI+2MvqOMuZuQg/D8QGekKh0mBXRpk9hk0IcXA040YIIX3A3NuxsKYZMpEAar0RIXIpZqdFWB3X3Zk5QggBKHAjhJA+Ye7teKXctfhgL2SWK2FkjM+F62hmjhBCAArcCCGkzySEyNttRLhcd2fmCCEEoMCNEELsqrszc4QQAlDgRgghdtedmTlCCAFoVykhhBBCiNOgwI0QQgghxElQ4EYIIYQQ4iQocCOEEEIIcRIUuBFCCCGEOAkK3AghhBBCnAQFboQQQgghToICN0IIIYQQJ+F2BXgZYwAApVJp55EQQgghzsX83ml+LyX9z+0Ct5qaGgBAVFSUnUdCCCGEOCeVSgVfX197D8MtuV3gFhAQAAAoKipyy186pVKJqKgoFBcXw8fHx97D6Vd07nTu7nbugHufP5277c+dMQaVSoWIiAibPSbpGbcL3AQCU1qfr6+v2/0hW/Lx8XHb86dzp3N3R+58/nTutj13d5z0cCS0OYEQQgghxElQ4EYIIYQQ4iTcLnCTSqV45ZVXIJVK7T0Uu3Dn86dzp3N3R+58/nTu7nnuro5jtKeXEEIIIcQpuN2MGyGEEEKIs6LAjRBCCCHESVDgRgghhBDiJChwI4QQQghxEi4RuK1btw5xcXGQyWQYNWoUfvvtty6PP3DgAEaNGgWZTIb4+Hh8/PHH7Y7573//i8GDB0MqlWLw4MHYuXNnXw3/qtj63D/99FNcf/318Pf3h7+/PyZPnoyjR4/25Sn0Wl/83M22bt0KjuMwZ84cG4/advri/Ovr67Fw4UKEh4dDJpMhJSUFu3fv7qtT6LW+OPe1a9ciKSkJHh4eiIqKwuLFi6FWq/vqFHqtJ+deXl6Oe++9F0lJSRAIBFi0aFGHx7ni6113zt2ZXu+AvvnZmznDax5pxZzc1q1bmVgsZp9++inLzMxkzzzzDPPy8mKXLl3q8Pj8/Hzm6enJnnnmGZaZmck+/fRTJhaL2VdffcUfc+jQISYUCtnrr7/OsrKy2Ouvv85EIhE7cuRIf51Wt/TFud97773so48+YqdOnWJZWVnsoYceYr6+vqykpKS/Tqtb+uLczQoLC1lkZCS7/vrr2ezZs/v4THqnL85fo9Gw9PR0NmPGDPb777+zwsJC9ttvv7GMjIz+Oq1u6Ytz//e//82kUinbvHkzKygoYD/88AMLDw9nixYt6q/T6paenntBQQF7+umn2RdffMHS0tLYM8880+4YV3296865O8vrHWN9c/5mzvCaR9o4feA2evRo9vjjj1vdlpyczJYuXdrh8c8//zxLTk62uu2xxx5j1157Lf/5XXfdxW6++WarY6ZNm8buvvtuG43aNvri3C+n1+uZXC5nX3zxxdUP2Ib66tz1ej0bP348++yzz9gDDzzgsC9ifXH+69evZ/Hx8Uyr1dp+wDbUF+e+cOFCduONN1ods2TJEnbdddfZaNS20dNztzRhwoQO37xd9fXOUmfnfjlHfb1jrO/O31le80gbp14q1Wq1OHHiBKZOnWp1+9SpU3Ho0KEO73P48OF2x0+bNg3Hjx+HTqfr8pjOHtMe+urcL9fc3AydToeAgADbDNwG+vLcV61aheDgYMyfP9/2A7eRvjr/b775BmPHjsXChQsRGhqK1NRUvP766zAYDH1zIr3QV+d+3XXX4cSJE/wyWX5+Pnbv3o2ZM2f2wVn0Tm/OvTtc9fWuNxzx9Q7o2/N3htc8Ys2pm8xXV1fDYDAgNDTU6vbQ0FBUVFR0eJ+KiooOj9fr9aiurkZ4eHinx3T2mPbQV+d+uaVLlyIyMhKTJ0+23eCvUl+d+8GDB7FhwwZkZGT01dBtoq/OPz8/Hz///DPuu+8+7N69GxcvXsTChQuh1+vx8ssv99n59ERfnfvdd9+NqqoqXHfddWCMQa/X44knnsDSpUv77Fx6qjfn3h2u+nrXG474egf03fk7y2sesebUgZsZx3FWnzPG2t12peMvv72nj2kvfXHuZm+99Ra2bNmC/fv3QyaT2WC0tmXLc1epVLj//vvx6aefIigoyPaD7QO2/tkbjUaEhITgH//4B4RCIUaNGoWysjK8/fbbDhO4mdn63Pfv34/Vq1dj3bp1GDNmDHJzc/HMM88gPDwcL730ko1Hf3X64rXJVV/vesLRX+8A256/M77mEROnDtyCgoIgFArbXXEoFIp2VyZmYWFhHR4vEokQGBjY5TGdPaY99NW5m73zzjt4/fXX8eOPP2LYsGG2HfxV6otzP3/+PAoLCzFr1iz+60ajEQAgEomQk5ODgQMH2vhMeqevfvbh4eEQi8UQCoX8MSkpKaioqIBWq4VEIrHxmfRcX537Sy+9hD//+c94+OGHAQBDhw5FU1MTHn30USxfvhwCgf2zSnpz7t3hqq93PeHIr3dA35x/Xl6e07zmEWv2fzW6ChKJBKNGjcK+ffusbt+3bx/GjRvX4X3Gjh3b7vi9e/ciPT0dYrG4y2M6e0x76KtzB4C3334br776Kvbs2YP09HTbD/4q9cW5Jycn4+zZs8jIyOA/br31VkyaNAkZGRmIiorqs/Ppqb762Y8fPx65ubn8izcAXLhwAeHh4Q4RtAF9d+7Nzc3tgjOhUAhm2sBlwzPovd6ce3e46utddzn66x3QN+fvTK955DL9vRvC1sxbpDds2MAyMzPZokWLmJeXFyssLGSMMbZ06VL25z//mT/eXBpg8eLFLDMzk23YsKFdaYCDBw8yoVDI3njjDZaVlcXeeOMNh94eb8tzf/PNN5lEImFfffUVKy8v5z9UKlW/n19X+uLcL+fIO6z64vyLioqYt7c3e/LJJ1lOTg777rvvWEhICHvttdf6/fy60hfn/sorrzC5XM62bNnC8vPz2d69e9nAgQPZXXfd1e/n15WenjtjjJ06dYqdOnWKjRo1it17773s1KlT7Pz58/zXXfX1jrErn7uzvN4x1jfnfzlHfs0jbZw+cGOMsY8++ojFxMQwiUTCRo4cyQ4cOMB/7YEHHmATJkywOn7//v1sxIgRTCKRsNjYWLZ+/fp2j7l9+3aWlJTExGIxS05OZv/973/7+jR6xdbnHhMTwwC0+3jllVf64Wx6pi9+7pYc/UWsL87/0KFDbMyYMUwqlbL4+Hi2evVqptfr+/pUeszW567T6diKFSvYwIEDmUwmY1FRUWzBggWsrq6uH86mZ3p67h39PcfExFgd46qvd1c6d2d6vWOsb372lhz9NY+YcIw5yDoAIYQQQgjpklPnuBFCCCGEuBMK3AghhBBCnAQFboQQQgghToICN0IIIYQQJ0GBGyGEEEKIk6DAjRBCCCHESVDgRgghhBDiJChwI4QQQghxEhS4EeLAJk6ciEWLFtl7GHaxYsUKpKWl9ctz/fzzz0hOTrbq0+oszp49iwEDBqCpqcneQyGE9AMK3AjpIw8++CA4jgPHcRCLxYiPj8dzzz3nUG+wEydO5McolUoRGRmJWbNmYceOHf06Do7j8PXXX1vd9txzz+Gnn37ql+d//vnnsXz5cr7RfHl5Oe69914kJSVBIBB0GTyvWLECd999NwD8f3v3HxN1/Qdw/HkGHAdHBykqKDuCgzrIrlvaZDQMEq/QaczaLESMVdN/bjlAt87UjM1hErgWdLOBmIpuRkmUrB/GiQOLcjenpIPciTMoLQqIUvnx/eP75TM/8iMOv379Uq/H9vnj8/71eX0+x3ave78/70FkZCQajYYDBw4MaxcfH49Go2H37t1KWWRkJMXFxSOOOd6kdc6cOTzyyCMUFRWNq70QYnKTxE2I2+iJJ56gvb2d8+fPk5+fT0lJCbm5uXc6LJUXX3yR9vZ2Wltbef/994mLi2PFihW89NJLtzRuf3//Lc1g6fV6pk6deksxjEdDQwMtLS0888wzStnVq1cJDQ3F4XBgsVjG7F9dXc2yZcuU84iICMrLy1VtTpw4QUdHB4GBgf/d4P/j+eefp7S0lP7+/tsyvhDi/4ckbkLcRlqtlpkzZxIREcFzzz1HRkaGMrO0evVqnnrqKVX7l19+mccee2zU8UpKSoiJicHf358ZM2bw9NNPK3WDg4Ns376dqKgodDodFouFQ4cO/WWMAQEBSozz58+noKAAp9PJrl27+PzzzwGoq6tDo9Hw66+/Kv3cbjcajQaPxwPA7t27CQ4Opqamhri4OLRaLRcuXKCpqYnU1FSmTZuGwWBgwYIFnDx5UhknMjISgPT0dDQajXJ+86zTwMAAW7duZfbs2Wi1Wh566CFqa2uVeo/Hg0ajoaqqiuTkZAICArBYLDQ2No55/wcOHGDRokX4+/urYtq5cyerVq3CYDCM2vfixYucPn2aJ598UinLyMjA5XJx8eJFpaysrIyMjAx8fHzGjGU0Q7OiNx5DzwnAZrPx888/43K5JjS+EGLykMRNiP8hnU7H9evXJ9T3m2++wW63s3XrVs6dO0dtbS1JSUlK/caNGykvL6e0tJQzZ86wbt06Vq5cOaEv86ysLEJCQrxeMu3t7WXbtm28++67nDlzhunTp9Pd3U1WVhb19fWcOHGCmJgY0tLS6O7uBqCpqQmA8vJy2tvblfOb7dy5k8LCQnbs2MGpU6ew2WwsXbqUlpYWVTuHw0Fubi5ut5vY2FieffZZ+vr6Ro352LFjzJ0716v7HFJdXU1SUhLBwcFK2YwZM7DZbFRUVCjP5ODBg2RnZ0/oGvDvpduho7W1FZPJpPrs/fz8sFgs1NfXT/gaQojJYWI//4QQXvv666/Zv38/jz/++IT6t7W1ERgYyJIlSwgKCsJoNGK1WgH4/fffefPNNzl69CgJCQkAREVFcfz4cZxOJwsWLPDqWlOmTCE2NlaZTRuv69evU1JSolpeTElJUbVxOp2EhITgcrlYsmQJoaGhAAQHBzNz5sxRx96xYwcbNmxQ3icrKCjgyy+/pLi4mLfffltpl5uby+LFiwF47bXXiI+Pp7W1lfvvv3/EcT0eD+Hh4V7d55DDhw+rlkmHZGdnk5OTg8Ph4NChQ0RHR4/6ztqGDRvYuHGjquzatWvExcUp50PPZXBwkOXLl2MwGHA6nao+s2bN8vrzEkJMPjLjJsRtVFNTg16vx9/fn4SEBJKSknjrrbcmNFZqaipGo5GoqCgyMzPZt28fvb29ADQ3N/Pnn3+SmpqKXq9Xjj179vD9999P6HqDg4NoNBqv+vj5+fHggw+qyn766SfWrFlDbGwsBoMBg8FAT08PbW1t4x63q6uLH374gcTERFV5YmIi3333narsxuuHhYUpMYzmjz/+UC2TehOTy+Vi6dKlw+oWL15MT08Px44do6ysbMzZtry8PNxut+pYs2bNiG1feeUVGhsb+fDDD9HpdKo6nU6n/D0IIf6+ZMZNiNsoOTmZ0tJSfH19CQ8Px9fXV6mbMmUKg4ODqvZjLaMGBQVx8uRJ6urq+PTTT9m0aRNbtmyhqalJ2QTw8ccfM2vWLFU/rVbrddz9/f20tLQwb948JVZAFe9Isep0umHJ3urVq7l8+TLFxcUYjUa0Wi0JCQlcu3bN67huHnuk5PLGZzxUN9YmiWnTptHZ2el1LEeOHMFsNmM0GofV+fj4kJmZyebNm/nqq6/44IMPxry+yWRSld1zzz3D2u3du5eioiLq6uqYPXv2sPpffvmF6Ohor+9DCDG5yIybELdRYGAgJpMJo9GoSigAQkNDaW9vV5W53e4xx/Px8WHhwoVs376dU6dO4fF4OHr0qLIZoK2tDZPJpDoiIiK8jruiooLOzk6WL1+uxAqo4v2rWIfU19djt9tJS0sjPj4erVbLlStXVG18fX3H3BF59913Ex4ezvHjx1XlDQ0NmM3mccUxGqvVSnNzs9f9Dh8+POJs25Ds7GxcLhfLli0jJCTkVkKksbGRF154AafTyfz580dsc/r0aWXpXAjx9yUzbkLcISkpKbzxxhvs2bOHhIQE9u7dO+aXb01NDefPnycpKYmQkBA++eQTBgYGuO+++wgKCiI3N5d169YxMDDAo48+SldXFw0NDej1erKyskaNo7e3l46ODvr6+rh06RJVVVUUFRWxdu1akpOTAZQEcMuWLeTn59PS0kJhYeG47tNkMvHee+8xd+5curq6yMvLG7bMFxkZyRdffEFiYiJarXbERCcvL4/Nmzcr74uVl5fjdrvZt2/fuOIYzY0bCW40lJj29PRw+fJl3G43fn5+xMXF0dfXx5EjR5RdtyMxm81cuXKFgICAW4qvo6OD9PR0VqxYgc1mo6OjA4C77rpLSag9Hg+XLl1i4cKFt3QtIcT/P5lxE+IOsdlsvPrqq6xfv5558+bR3d3NqlWrRm0fHBxMVVUVKSkpmM1m3nnnHSorK4mPjwfg9ddfZ9OmTWzbtg2z2YzNZuOjjz7i3nvvHTOOXbt2ERYWRnR0NOnp6TQ3N3Pw4EFKSkqUNr6+vlRWVnL27FksFgsFBQXk5+eP6z7Lysro7OzEarWSmZmJ3W5n+vTpqjaFhYV89tlnREREjJq42u12cnJyyMnJYc6cOdTW1lJdXU1MTMy44hjNypUraW5u5ty5c6pyq9WK1Wrl22+/Zf/+/VitVtLS0gBwuVzo9XoefvjhMceeOnXqsCTVW2fPnuXHH3+koqKCsLAw5RhaxgaorKxk0aJFIy7bCiH+XjSDN79kI4QQ/zDr16/nt99+G7ZTczR2u52+vj5VcnunXL16lZiYGCorK4dt3hBC/P3IjJsQ4h/P4XBgNBrH/Z8HHnjgAdauXXuboxqfCxcu4HA4JGkT4h9CZtyEEEIIISYJmXETQgghhJgkJHETQgghhJgkJHETQgghhJgkJHETQgghhJgkJHETQgghhJgkJHETQgghhJgkJHETQgghhJgkJHETQgghhJgkJHETQgghhJgk/gUNCvrN8vWmwQAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "exp_data = ExpData(file_path='./exp_data_tutorials/Ex02_NV_rabi.dat')\n", "# convert the variable from s to us\n", "exp_data.variable *= 1e6 \n", "\n", "rabi_analysis_1.compare_with(exp_data)\n", "rabi_analysis_1.plot_comparison()\n", "rabi_analysis_1.pearson" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We observe a strong correlation of the simulation and experimental data with an rvalue of 0.987. The standard observable for the NV is the population in the $m_s=0$ given by the fluorescence. To see the populations of the other two states $m_s=\\pm 1$, we need to redefine the system observables and run again the Rabi experiment." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "qsys_1.observable = [tensor(fock_dm(3, 0), qeye(2)), tensor(fock_dm(3, 2), qeye(2))]\n", "\n", "# run the experiment\n", "rabi_sim_1.run()\n", "Analysis(rabi_sim_1).plot_results()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that population of the $m_s=+1$ remains 0, as we are using the $m_s=0 \\rightarrow -1$ resonant frequency, while the $m_s=-1$ population oscillates with the same frequency as the $m_s=0$ population, but with opposite sign. If we used the other resonant frequency, the $m_s=+1$ population would oscillate but $m_s=-1$ would remain 0." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rabi_sim_2 = Rabi(\n", " pulse_duration = np.linspace(0, 3/w1, 1000),\n", " system = qsys_1,\n", " H1 = w1*qsys_1.MW_H1,\n", " # MW frequency for the ms=0 --> ms=+1 state transition\n", " pulse_params = {'f_pulse': qsys_1.MW_freqs[1]} \n", ")\n", "\n", "rabi_sim_2.run()\n", "rabi_analysis_2 = Analysis(rabi_sim_2)\n", "rabi_analysis_2.plot_results()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, by running a fit of the observable we can extract the $\\pi$-pulse duration." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Fit Result

Model: Model(fit_rabi)

Fit Statistics
fitting methodleastsq
# function evals26
# data points1000
# variables4
chi-square 3.3365e-04
reduced chi-square 3.3499e-07
Akaike info crit.-14905.1798
Bayesian info crit.-14885.5488
R-squared 0.99999731
Parameters
namevaluestandard errorrelative errorinitial valueminmaxvary
amp 0.49650660 2.5932e-05(0.01%)0.49757541936557315 -inf infTrue
Tpi 0.02978212 3.0015e-07(0.00%)0.02993424046055625 -inf infTrue
phi 3.14178728 1.0842e-04(0.00%)3.4271919857343196 -inf infTrue
offset 0.49592288 1.8962e-05(0.00%)0.4934025679635617 -inf infTrue
Correlations (unreported values are < 0.100)
Parameter1Parameter 2Correlation
Tpiphi+0.8761
Tpioffset-0.2614
phioffset-0.2291
" ], "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rabi_analysis_2.run_fit(\n", " fit_model = RabiModel(),\n", " # since there are two observables, we need to specify which one we want to fit\n", " results_index = 0\n", " )\n", "\n", "rabi_analysis_2.plot_fit()\n", "rabi_analysis_2.fit_params[0]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As expected the $\\pi$-pulse duration is very close to $1/(2\\omega_1)$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 3. Ramsey Experiment" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A simple, but important, pulse sequence in quantum sensing is the Ramsey experiment. It measures the accumulated phase difference in the two levels, by applying a $\\pi/2$ pulse, waiting for a time $\\tau$ and applying another $\\pi/2$ pulse, then measuring the population in the $m_s=0$ state." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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mDdauXYsePXoIX/F8YOTl5SEzMxPPPfecY/tPP/2E999/HyeddJKR4wwdOhTfffcdGjRoIDxHUZFBeno6+vfvj9tuuw0AsHr1aun+o/N0n8e8efOwZ88eY+cRndcDDzyA/fv349Zbb41tj0QiHqXijTfe0G5OTp2L6BqpXu/x48dj27ZtOOecc7Bz505Sa51du3Z5qpmjREPhTZo0UZrPCSecAAB4/vnnHft74YUXPMdo0aIFtm7d6qjcLikpwdtvv+0YN3ToUFiWhZ9//ll47E6dOgWeq5vBgwfjm2++8S1iGjp0KLZv346ysjLhcSkGHsNUV9gjyPyhGD16NB555BGcf/75GDt2LLZv347bb78dderUCfxur169MHToUHTu3Bn16tXD+vXr8eyzzyIvLw81atQAADzyyCMYPHgwBg0ahDFjxqBp06b4/fffsX79enz22Wd46aWX4nZudevWxU033YQbbrgBF1xwAf7yl79g+/btmDZtGjIyMjBlyhQjx5kwYQLmzZuH448/HldffTU6d+6M8vJybN68Ge+88w6uueYa9OrVCzfffDN++uknnHTSSTjiiCOwc+dO3HPPPUhNTUX//v2l+z/llFMwaNAgXHfddSgqKkLfvn1jVcPdunXD6NGjjZxHlP79+2PIkCF46qmncP3116Nly5YYOnQoZs+ejXbt2qFz58749NNPcccddwSGEFWhXCPq9Y5y9NFH49RTT8Vbb72FP/3pT+jSpUvgPDZs2IBBgwZh5MiR6N+/P3Jzc7Fjxw688cYbePTRRzFgwAD06dNHaT4DBw7E8ccfj2uvvRZ79uxBjx498PHHH+PZZ5/1HH/EiBG4+eabMXLkSPzf//0f9u/fj3vvvRdlZWWOcX379sVll12Giy66CKtWrcLxxx+PmjVrIj8/Hx999BE6deqEK664QulvMGHCBMydOxfDhg3D9ddfj549e2Lfvn1YsmQJhg4dihNOOAEjR47E888/jyFDhuCqq65Cz549kZqaip9++gmLFi3CsGHDuOE288clkZUqDENFVgUr4umnn7bat29vZWRkWB06dLDmzp1Lqhq+/vrrrR49elj16tWz0tPTrVatWllXX321tW3bNsf31q5daw0fPtxq1KiRlZqaauXk5Fgnnnii9fDDDwfODYD1t7/9zXdMtFL1pZdeEn7++OOPW507d7bS0tKsrKwsa9iwYdZXX33lGBOmatiyLGv37t3WP/7xD6tt27ax43Tq1Mm6+uqrYxXar7/+ujV48GCradOmVlpamtWoUSNryJAh1ocffhh4Hfbt22ddd911VvPmza3U1FQrNzfXuuKKK6wdO3Z45qtaNSziiy++sJKSkqyLLrrIsqyKCuxLLrnEatSokVWjRg3rT3/6k/Xhhx96qs5lfwvZ9Y1Wwf7222+WZdGvEeV625k9e7YFwHrxxRdJ12bHjh3Wrbfeap144omxudSsWdPq2rWrdeutt1p79+7Vms/OnTutiy++2Kpbt65Vo0YN65RTTrG+/vprz71lWZb15ptvWl27drUyMzOtVq1aWffff7+najjKk08+afXq1cuqWbOmlZmZaR111FHWBRdcYK1atSo2pn///tYxxxzj+a7of3zHjh3WVVddZR155JFWamqq1ahRI+u0006zvv7669iY0tJS69///rfVpUsXKyMjw6pVq5bVrl07669//au1ceNG0nVmmOpIxLJc3UkZhmGYKs3ZZ5+N5cuX44cffkBqamqip+MhEolgypQplb6WN8Mw6nBomGEYphpQXFyMzz77DJ988gnmz5+Pu+66q0oqgQzDVC9YEWQYhqkG5Ofno0+fPqhTpw7++te/4u9//3uip8QwzB8ADg0zDMMwDMMcpnD7GIZhGIZhmMMUVgQZhmEYhmEOU1gRZBiGYRiGOUzhYhEDlJeX45dffkHt2rUDF35nGIZhGOYQlmVh165daNKkCZKS2D9V2bAiaIBffvkltoYpwzAMwzDqbNmyxfjqPkwwrAgaILq+7JYtW0hLmTEMwzAMU0FRURGaNWsW17XaGTmsCBogGg6uU6cOK4IMwzAMowGnViUGDsYzDMMwDMMcprAiyDAMwzAMc5jCiiDDMAzDMMxhCucIMgzDMEwVwbIsHDhwAGVlZYmeSqVRUlKC5s2bo6SkBPv370/0dP4QJCcnIyUlhZR3yWsNG6CoqAhZWVkoLCzkYhGGYRhGi5KSEuTn52Pv3r2JnkqlUl5eji1btqBZs2bcR9AgNWrUQG5uLtLS0nzHsUeQYRiGYRJMeXk5Nm3ahOTkZDRp0gRpaWmHTRVtWVkZ9u3bhxYtWiA5OTnR06n2WJaFkpIS/Pbbb9i0aRPatGnjq2CzIsgwDMMwCaakpATl5eVo1qwZatSokejpVCrRMHhGRgYrgobIzMxEamoqfvzxR5SUlCAjI0M6tlr5YD/44AOcfvrpaNKkCSKRCP773/8GfmfJkiXo3r07MjIy0KpVKzz88MOeMfPmzUOHDh2Qnp6ODh06YP78+XGYPcMwDMP4w6FRxhTU/6Vq9R+3Z88edOnSBffffz9p/KZNmzBkyBD069cPq1evxg033IDx48dj3rx5sTHLli3DiBEjMHr0aKxduxajR4/G8OHDsWLFinidBsMwDMMwTJWg2haLRCIRzJ8/H2eeeaZ0zHXXXYf//e9/WL9+fWzb5ZdfjrVr12LZsmUAgBEjRqCoqAhvvfVWbMypp56KevXqYc6cOaS5xIpFNq1FnRad9U6oMvl1HbB9I9D6ZCCtZqJnE4xlAdu/BeoeCaSkJ3o2QOn+inkcJvk7DPOHoewAcGA/kF4r0TPxsH//fmzatAktW7Y8FMYrOwCU7gFSawLJ1SCTq7wc2L8TSE4F0unLxZWVlWH16tXo1q0bh4YNIvyfElCtPIKqLFu2DAMHDnRsGzRoEFatWoXS0lLfMUuXLpXut7i4GEVFRY5XxQeFZk8gHhTvAt6bBqx5Afj06UTPBti5uWIuhT/Jx6ydA7zzD+C96ZU3LxnbNgLzLwPeuAYoK030bBiGoXKgGHhtPDD/r8Bv38jHrX8NWDTTXyZVFrvzgT3bgN0F/uPKDlQYzIlm3+/Avh3A7q0VCjdTLfhDK4IFBQVo3LixY1vjxo1x4MABbNu2zXdMQYH8xps5cyaysrJir2bNmlV8UO7T98my/D83QXk58OFdwIIbgN2/icfs+PHQ75uWxHc+FN6+AVj3asVPGeterfi5/dsKgZdIltxe8UAp+hn4fnFi58IwDJ1v3wX2bgfKDwBLbhOP2b0VWP0ckL+m4l5PNAdKDv4slo/ZtxPY+WOwshhHxowZUxGd229zhpTsxeLFixGJRLBz507s378fY8aMQadOnZCSkoIzzzg9YfNlnPyhFUHAu4h1NBJu3y4a41e2P3nyZBQWFsZeW7ZsqfhApqQU7wL+93fg1b8Be7ZrnAWRHz8GtqwAfv8OWHqvZJCC1RhvxRU45FXzE3R2yhOsCBYXHfp9fzXwADMMU0HJHtvvu8Vjdm+1/f5rfOdjir0Hnykle+PrFSwrrbg+xbv0vl5WhszMTIz/2xU4uX+fCo8hVe4zceUPrQjm5OR4PHtbt25FSkoKGjRo4DvG7SW0k56ejjp16jheAORKytoXgT2/VbjMP31S/4SC2JV/6PdtktAHVVB8Oht4aQzw3aKwszKLdfh022cYxiARwuPOKo//PKIUfFmRnmNXPkMTR0UwqgTu3qoVmalZsyYeeughjP3LGchp1LBi4944OkYYMtUg+1SfvLw8vPbaa45t77zzDnr06IHU1NTYmIULF+Lqq692jOnTp4/6AWWKoF1BM3rTu6AIOgrl5cCGg8UzKx4GjjrBzH5NILvGOzcDKx8HGnUAuozU3/+uAqBGg4pk5yAq86HBMH9ULAv4/D9AWTHQeSSQ4r8KgpRt3wKwgOw2IeZSSYZmeRnw/i0Vv+evBYbeJR/74b+B/bvkxRd2D116LQCGitgy6wKnzjz03p7zV16qX7zicEZwwV1VoFopgrt378a3334be79p0yasWbMG9evXx5FHHonJkyfj559/xjPPPAOgokL4/vvvx8SJEzF27FgsW7YMTzzxhKMa+KqrrsLxxx+P2267DcOGDcOrr76Kd999Fx999JH6BGVCxB5iTYrjJSftm2AxliXIXW9ZwZW4snD1ohkVHtffNgAt/gRkHaF+/G/fBT55DMhqBgy5g6uCGaYy+H4R8NUrFb+n1wGOOVN9H9u/A965seL3QTOABkd5x5j0CJbsrUjBadheTyGyF5oV/SyZy0FZvX9XRSVueQmEipM95F1WUjlySxBZev3111Gr+ULblohkvWTLPoSpAlQrRXDVqlU44YRD3qmJEycCAC688ELMnj0b+fn52Lx5c+zzli1b4s0338TVV1+NBx54AE2aNMG9996Ls88+OzamT58+ePHFF/GPf/wDN910E4466ijMnTsXvXr1Up+gzFtl327KayciiVB2TwkNm6r2+u59YPMKoPNwsWB2U34g2BMnUwT37bD9vlNPEfzksYqfhVsqClOCPAvsEWSY8Pzwse33j/QUwTXPH/r9k0eBwYJiEIqCRE2dWfTPChlx9CCgx8W07ziOo+B5zDjoCZR5+5JsMjO9JoxlfGXW9fnQe51OOOEEPDTj+kMbMrKw4vMNOP/8832+y5pgVaBaKYIDBgyAX9vD2bNne7b1798fn332me9+zznnHJxzzjlhp+ejCNpuekrIUUbxrgpFUtb7j2TxEgSQiQTesgPAikcqfs9fA4ya6x1T7lKkykoIiiAhN8VEr8HSfcFjWBFkmPDYIxC69649GiKVXxRFkHBPl5VWKIEA8M3bmoogRXYcfNb1m1Txs14LsbG//btDv9dtLvZQlpUCe7cBKRlAZj3V2ZKoWbMmWrdqcWhDZj38tF1QlON4hLMiWBX4QxeLVDokj6Bms8xdBcB/r6jogSXLM6Tsm5Lka8IjWE7osee+XpS+fBRFluIZDYKiDFeFvl0MU92JtkgB9A3lZFteYVmJeAzFUKZ0SrCHYnWhHMcjXyjyRjJmV35FOHvv72b6n4aSfRwarmqwImgS2c1tV3j88vi2fwdsXi7ez+dzK27gstKK0IcIigJE8aiZ8AhSLF63UicSUG6BQ5m/CQWNkifJHkGGCY9dcUvW9Aim2FZNkMkvSmiYYsCaUARVPIKStxXbiMqiXbYaacGlJ2PXrVuHNZ9/hd937ERh0S6s+fwrrFmzxsB8mDBUq9BwlYfiEZQpgnu2A2/fCMACeo6tWP7Njt1qLsqHNhRBZ8QjSLB43WNEc3NfU5396kC5BqwIMkx47IqgbsWwPaQsNeIIiqDMm2indC9pSr64ZZQoUuPRtYSaYPAQNyLPaOn+ioKUtFq05fc0je0hQ4bgxx8PLWrQre9JAIADBxLcH/YwhxVBk8jCro6qYYnXbuM7iN3FnzzmVQTtrQPsTY0dxyHcTJTQcClREdz9G7B5KdCsF1A7x/mZyNvnDvt4xgiEsNtLSPIImlAECQ+EePbsYpjDBbsHT9cj6AgNS4xdknykeAQlzahVcMuoA/sAuMPibiVPIG+0wscCdv9acX1K9lTkoAd5T13HjeXn2/MV4c3r/+GHH4Dfvz/0/Yw6QM2GkupiprLg0LBJQnkEbUvCpdbwfm5XBGVWK8VDRRKGxNDwon9WrBP8sWAVE7eAEglPj1Us8gi6FUGBwPCEj+PpEbQJSM4RZJjwmCgWoXyPYiBS5CMlNPzFy8Di2+RLfbpllDCcTVDyTOUR2s+bFDrWCG3HNnPVcFWDFUGTmFIEa2Z7P5dVClOO7xhDsHgpHsHiXYcaZf/+nfdzt6Ar1lQE3R5M0Tm6K3xlCnHZgYoczK1fiz+3I1ME7WEVXuWEYcJjv+/9ikWKd8uX6DRVCEIJDZcEhIb3bAe+eAn45TPg3SniMR6PoEDeeHQ8zdCwuztDkK5IuQYUI5gN5WoDh4ZNIm0oTVDQ7Evt1BAoghRI+XOGPIK/SZawi+K+FkKPoLtqWCCAPB5BiiIouA7Fu4AP7wK2rgMQAc64F6jVyDsutk+JsI9EDglSE9V3DMMcQqQ8lOypWPLyx6UVMq7//wFNu7u+ZyoaYiA0bE/d2bu9Qj6lZrrm4pJRpfsBj1OT4hF0n7dojFseBihopO4NpvKjWVmsCrBH0CQyQWO/aWQ3kF0RFC0l5L6ZhfkilB5YhnIEt67z/9w9F1E4xX1Oouvn3iY6xwMuRdBtAQMVy8/F5myJu/nbvREyq9+eO8OKIMOYRWTEffc+sOmDg7LAAgq+8I4xVURGUgQVq4Z//tS7zS3H3DIMIIZ9CYqUaqoMxSMYppUNU+VgRdAklNCwSNC5b3iRsuNWbkTCyFNhK9qPW7ES3KyUitnfAsKrntDwruAxusUiFI9g0S+uMYJrY29BIWsobQ9BUcLsDMPQEcmj/a7iOGGeMMFQNpU6E6QIumXLj8uCx+j2LfU8OzQ9gvYiRpJH0FBomMPHVQJWBE1CEjQCIbb3d+d7obLoEhz7dwaPoYRaRQqROzTsvllL9wO/bzr0XtTI2lhoWCNHUPigcJ2nSEm2VyxKW0TYPYLc8oBhQkEp9HLfu0JDmWBUUnJ6KUpQqaIiuE2QRuOWY0LDU0eRIkSKhLu1y7WSYAVNpw8iU2VhRdAkuuGJ3b8634tuMrcQ27dTsG9TipXLI+iez57fnPMRzpcSGnYrroK5aHkECfMRjbGHfaU5guwRZBhjuD1hFCOYIh9F96+nb6nICI6DR1CY8kKoGqZ4+7RCwwQlT6g0K3ZMIHn7WFmsCrAiaBLRDU8J++7ZGjzGfTPvLwweI2zHQsjLc3sE3d8RhRo8lr3rHIShYZ1iEYGAcufXiISY5xwClEW/YpEonCPIMOHw5PdSwr6ie9cdtRB42CgN7N0ySFa8EkUUDQmUl6DlCOq0jyGFhkW4vieSbY5OL5rFIiTllqlsWBE0iUiIeXLyRB5BV68pkaVKCg27FUGBlUnysLk9ggRBHCT8SH0ERTmChJVF3PMlhZcCxshyBB3H4dAww4SCkt/r8bARDD2hIuiSfUJDmSBv7LJMN/rgaR+ju7Y5QVn0yGaRsuh+H6Do6XoEeTWmKgkrgiYRCRb3DS70wLmtUEqOIMUjqOthC1CsKDe4+zuk4hZRCIWiuLq8d9oFObbvle4LTjgnVdcxDCOFlNZBuHd1QsNCw9O1TSRvHB0FBNEQjyIokiOuMSLFVSf/T4SORzBwuG5za0MroSSQ2bNno27duqH3s3jxYkQiEezcuTP0vsLCiqBJRDecR8kjCDHtHEFKaJhg8Qbl7egkdIsaSussMSe6xh7FVfcau9r8iKx0+7lzaJhhwuEp9NKINojGkELDInkdIG8sK7g4jSQvCQ2ldZaYEyqdijmCMuz7dsnPMWPGIJKUhEh260OvrKb49ttvA+arNxUZAwYMQCQS8bwuv/xyswfSmNeECRMc2/r06YP8/HxkZWUlZlI2uKG0SUTWI8UjSAp9uIsvdBUrtyIo8mIGeQQ1FK0SUY6gu1iEssScrkeQcI1FXoXUDOc2+/e4WIRhwuGWNfEsFvEoaBqGcskeeBW0oPkd9Bra84t1ikV0+wjqeASDFEyBwnnqoEF46q6phzakpKFhy5au75WjpKQEaWnRtaHNewTHjh2L6dOnO7bVqCFYtjXBpKWlIScnJ9HTAMAeQbOQCi90c0oMtVCgKFYej6DO/DRCw6ZyBEnzI1jOHgXTgkNwcfsYhgmH+x7TbR/j3ib0CLrlDaFYxP0dSmN8kueOUiwSsA/hNkIYmpIjGIj3b5Ceno6cxg1tr0ZITk7GgAEDcOWVV2LixInIzmmKU86+EACwbsNGDDlnNGrVqoUmTZrg5ptvxrZt22zTtHD77bejVatWyMzMRJcuXfDyyy8HzqxGjRrIyclxvOrUqQMAyMvLw/XXX+8Y/9tvvyE1NRWLFi0CAOzYsQMXXHAB6tWrhxo1amDw4MHYuHGj9HhjxozBmWee6dg2YcIEDBgwIPb5kiVLcM8998Q8lD/88IMwNDxv3jwcc8wxSE9PR4sWLXDnnXc69tuiRQvMmDEDF198MWrXro0jjzwSjz76aOA1CYI9giYRKlUa+X/CMRpeOfexRXPUyhEkKKGiHJiyA0Cy7V/O48HU9QgSKg91Kvk8+yV4UxmGoUMqFiG0ffHIG0r7GEK7Ko9MEBm01NQZe+sp17GFxSIV2tn0939F4f4yIGW7s9cpUCGr7cpryu9AcppzTMkup/InGlPsatqdugNZNWvg5tM7OOZyaGoCL6dn+oe+8/TTT+OKK67Ax4vfg7X7V+QXbEX/M0Zh7IXn4a57H8Du3btx5ZVXYuTIkTGF7B//+AdeeeUVPPTQQ2jTpg0++OADnH/++WjYsCH69+8vP64P5513Hu644w7MnDkTkYNznzt3Lho3bhzb55gxY7Bx40b873//Q506dXDddddhyJAhWLduHVJTfdbClnDPPffgm2++QceOHWOeyoYNG+KHH35wjPv0008xfPhwTJ06FSNGjMDSpUsxbtw4NGjQAGPGjImNu/POO3HLLbfghhtuwMsvv4wrrrgCxx9/PNq1a6d1TQBWBM0izDkJaMUCqBcyUMforNRhWcE5grrKbFmxUxGkKFae+Wq2j9HxqAZ5KzhHkGHCYaoHqCc0TPEIashHkkdQNj8fI9inWKRwfxl27i8DkkqBZJfiVXbAKZeSS71xvtIyOBQ56Rj7+9KK47nm4pmfTRF8/Y03UKv5u7H3g08egJf++wYAoHXr1rj99tsrCm121cLNM2fh2M7HYMbN1wFZR6CsrAw33XQThg4dim+++QZNmzbFXXfdhffffx95eXkAgFatWuGjjz7CI4884qsIPvjgg3j88ccd2x544AFceOGFGDFiBK6++mp89NFH6NevHwDghRdewKhRo5CUlBRTAD/++GP06dMHAPD888+jWbNm+O9//4tzzz1XelwZWVlZSEtLi3kqZdx111046aSTcNNNNwEAjj76aKxbtw533HGHQxEcMmQIxo0bBwC47rrrcPfdd2Px4sWsCFYZdD2ClEanxkLDAdZrWSnUc2AE20ire1Dmq9EAWye85A77AgSPIIeGGSYUOqsCkYw4QrEIKQJBibJoGMpuGe9TLJKVcbBXYXIKkOLy5B0oA8ps+0pJEXgEi10ewVTXGAsodvVDTElBVmaQ98vp5TxhQH88NPOG2PuaterEfu/Ro8fBQ1XM9dO1X2LRRytQq2lbRBsUlh+8Jt999x0KCwuxf/9+nHLKKc5TKSlBt27dfGd13nnn4cYbb3Rsa9SoEYAKT9wpp5yC559/Hv369cOmTZuwbNkyPPTQQwCA9evXIyUlBb169Yp9t0GDBmjbti3Wr18fcD3CsX79egwbNsyxrW/fvpg1axbKysqQnFzxN+rcuXPs80gkgpycHGzd6upFrAgrgibRac4MxC80rKNYiQSSajNm6hiPYBa1jyH0YfTk8mkcW5h76PYIuudSXvG9JEFTWYZhgqHcu54cN2KhV9AYUgRCcM979ktpbxMgH0Vy9+B+bz6xccX7jDpAzYbOMbt/dXZkyKwH1KjvHLP9eziM3BoNgMy6zrnYlwwFKo6TUce2ITg/sWbNmmjdqsWhDTa5WLNmTcd+yq1ynD7oRNw27UagTi7Kysqwbt06dOjQAUcccQS+/PJLAMAbb7yBpk2bOo6Tnu4Kj7vIyspC69atpZ+fd955uOqqq3DffffhhRdewDHHHIMuXbocPCVxsqRlWbFQspukpCTP90pL1aNFomOI5uMOT0cikZgSrQsXi5hEpxULQLR4NZqqkopFXO+FLVME4eOgY+uEj0mhGkJOo44gFq65TDg2h4cZRp+gfGRAs1hEZNC6Q8MaPV21238FyD7RfD37oBSLCL8Y6mPpmMD1iOXzPbbzMfjq641oceQRaN26NVq3bo1mzZqhdevWqFmzJjp06ID09HRs3rw59rl9XBjOPPNM7N+/HwsWLMALL7yA888/P/ZZhw4dcODAAaxYsSK2bfv27fjmm2/Qvn174f4aNmyI/Px8x7Y1a9Y43qelpaGszL96u0OHDvjoo48c25YuXYqjjz465g2MF6wImoQiWCg97rTDI4SqOI9HkGKZaoR9KZZzvKqcRQ2wAxVBTU8tF4wwjD46rZ9M5VCLDNygYjrdtJigCASljyBliTlK70FSU2eNZtYK7W7+dvH5+H3nTvzl0ivxySef4Pvvv8fy5ctx6aWXoqysDLVr18akSZNw9dVX4+mnn8Z3332H1atX44EHHsDTTz8t2O8h9u7di4KCAsdrx44dsc9r1qyJYcOG4aabbsL69esxatSo2Gdt2rTBsGHDMHbsWHz00UdYu3Ytzj//fDRt2tQTto1y4oknYtWqVXjmmWewceNGTJkyJebRjNKiRQusWLECP/zwA7Zt2yb04F1zzTV47733cMstt+Cbb77B008/jfvvvx+TJk3yPV8TsCJoFEugWGn0EdRtf+IeQ2rHQggNxy1HkJBzR2kfE1TMorMSinAMocqQYRg6Rw8Gjht76D3l/jZmKBNWEdFRMCnyxnNOB7yyjrQubyLX7tXwNB68Dk1yG+PjN/6DsrIyDBo0CF26dMGdd96JOnXqICmpQi255ZZbcPPNN2PmzJlo3749Bg0ahNdeew0t3b0JXTz22GPIzc11vP7yl784xpx33nlYu3Yt+vXrhyOPPNLx2VNPPYXu3btj6NChyMvLg2VZePPNN6UVw4MGDcJNN92Ea6+9Fscddxx27dqFCy64wDFm0qRJSE5ORocOHdCwYUNs3rzZs59jjz0W//nPf/Diiy+iY8eOuPnmmzF9+nRHoUi8qHY5gg8++CDuuOMO5Ofn45hjjsGsWbNi1T9uxowZI7QeOnTogK+++gpAxXIxF110kWfMvn37kJGR4dkeSPkBIMmWiEtaWUSjKo5SdKKVIxiwmgZ5fhrhEZ1Qtmi/WjmNGsUtABeMMEwYcjpWvNa+UFGRa6oHKMlYJVQRU3KUSV0VAqIhsuM7dxK8X63vaK5YYrues2fPrijQKfrFuV/LwuLFi4X7aXNUC7zyzCNAveYoKyvD6tWr0a1bt1ieXCQSwfjx4zF+/HjhmYlwHMuHIUOGSPMB69Wrh2eeeUb63TFjxniUs2nTpmHatGnS7xx99NFYtmyZY1uLFi08czj77LNx9tlnS/fjbjkDeMPQOlQrj+DcuXMxYcIE3HjjjVi9ejX69euHwYMHC7VroKJ/T35+fuy1ZcsW1K9f31MCXqdOHce4/Px8PSUQCM650+4jqKEs6vTlcxe3iParvXKHRtUwJU/PI7R0wkSUcA57BBkmLkQO5kCZkn2UnN+g99T9mjKUg8KxOmFeAymE0kFGPJaV6cFkZFQrRfCuu+7CJZdcgksvvRTt27fHrFmz0KxZs1jpt5usrCxHd/FVq1Zhx44dHg9gtATb/tImSLEShh8MWbyUZYuClBths1ZC5ZznHExVDRMUwaD2O6SHCyWcIzpvVgQZJjTRClNTaw1TlDFK/jGpatiAEQwQFauA/Xq+YipHUHjw4O94ziFovkwiqDaKYElJCT799FMMHDjQsX3gwIFYunQpaR9PPPEETj75ZDRv3tyxfffu3WjevDmOOOIIDB06FKtXr/bdT3FxMYqKihyvGEF9p7Tz1SiKYECow1QytKlQq87ayML8Pw2PoFZomD2CDBMXIgcfRdoeQQPFdMLQsFsGVKJ89HyuGeY1gk6xiGg37BGsilQbRXDbtm0oKytD48aNHdsbN26MgoKCwO/n5+fjrbfewqWXXurY3q5dO8yePRv/+9//MGfOHGRkZKBv376+awvOnDkTWVlZsZejnJ3iEQzqO6XdqyogNKxr8ZKEoU6oldDXK8hq184XoiSgu/N6WBFkmLgQVQRJ96GuoRwQDaF0WdAODet0XjBR3WsqR1Bw6MC5iPbDimBVpNooglFEDRdljR7tzJ49G3Xr1vUsDt27d2+cf/756NKlC/r164f//Oc/OProo3HfffdJ9zV58mQUFhbGXlu2bDn0IWUt30BFUDP04VbQKGHpuPXJ0knWLvVeG60GrzpVhlwswjAJIxoa1pU/Ouk1pnIETcnv6EexuVMKNnQUNvc+NAdp9TA0MF+GjKwgxk21qRrOzs5GcnKyx/u3detWj5fQjWVZePLJJzF69GikpaX5jk1KSsJxxx3n6xFMT0+XdzcPWrQcOCgokuRjtIVhQGhYJOg886UIMd0cHWL4JtlWph/kRTSmlHJomGEShvFiEUIKCaUjgY7hqdM+BkBqUoVDY+/evcjMzPTOV8cjKNQD4uSV0y0WqdSWN4cXe/dW9OmUtb6JUm0UwbS0NHTv3h0LFy7EWWedFdu+cOFCaaPHKEuWLMG3336LSy65JPA4lmVhzZo16NSpk95EqaFLu7KjE1YVChud0HBlegQpodYSlyIYUCyi29dLp7iFi0UYJj7EikV0oyEBYyg9SoWhYUMdCAiGZ3KShbp168bWja1RXorIAdu4JAD7bX1eLQsodp9XiXNMWSlQ4jpWpBRIto05UOIdk1QMJNnGlOz3jkkuASK2McXF3jH79gMptnMvKQVKXWP270fZQXm8f//+uK+icThgWRb27t2LrVu3om7duoHXtNooggAwceJEjB49Gj169EBeXh4effRRbN68GZdffjmAipDtzz//7OkB9MQTT6BXr17o2LGjZ5/Tpk1D79690aZNGxQVFeHee+/FmjVr8MADD+hN0oRipa2UBFUEa4aGjeXcEbxwQeEaUl8vU+142CPIMJVCrFjEVDEG5d4lRExMRWuIEYicnFwAFZEu7NvpNDQjScDvtjlbFrB3m3MfyWlAxh7ncfb97hyTkgGkFx56X1YK7N/pHJNaCKTZth0oAYoLnWPSdgGpNQ69L90HlOx2jsnY7zTs9+/0XucdB1BuWdi2bRt++OGHWENpJjx169YldUGpVorgiBEjsH37dkyfPh35+fno2LEj3nzzzVgVcH5+vqenYGFhIebNm4d77rlHuM+dO3fisssuQ0FBAbKystCtWzd88MEH6Nmzp94kScnFQR3kdQWJjlXsDg0TPI2kYhZDodbAYpFKTN4WeitYEWSY0ER8PIImlDFhNMRUaFhD9klkUiQSQW5uLho1aoTSRXcAO3889HlKBnDqzEPvS/YA77hy2Ru0AfLGHXq/5zdgkcup0bQH0O68Q+93/AB8PMc5pmV/oO2Zh94XfAlscI05ejDQ0tbFY+O7wA9vOMf0GQ/Ut60EsvR+4PfvnGMGzcTu4gM47bTTsGrVKtSqVQtMeFJTU8ne1WqlCALAuHHjMG7cOOFns2fP9mzLysqKxclF3H333bj77rtNTY/msQpSVKzyCuFiL4LRSph2F49QkqEJYVSdimDRfChr9wa2j9G10Al5jzrhJYZh1Il5gaxg2aeTOiOMPlBWFjEUMaHkWdu+l5ycjOQDRUCJzZtXlgo4Fjoodn4OAGVFzjElyd4x1l7nmJSIdwz2O8ckHfCOiZS45rPfOybZco4p2+Udk5aCEisJP/74I9LS0vQXc2C0YR+sadyKjHYrmIAkW1GrAS2rWCcZ2lSBhmCMZ/1PjRxBU6F20rJ+7BFkmNBEbJ6LIKVOKzRMqPjXbR9jMDTsu1+PUUyJNmnmNBrKe9S6fkylw4qgaUiFCgZaoGjl5BE8WiQPpl5VHGk+QV5MnT6C2oKO4lVgRZBhQpNkUwR1cqiD5CMp+mCofYypdlWe+VhO41k3ehOvhvuUa0z52zGVDiuCpqmsPnc6Vbragk5nDCXXkKJ86ayEEidBx8UiDBMfIrZHUWDLKEJrGGqHAr/9Co9tqphOM9fQrlhptxnTeHZQnlHC9mQahjtT6bAiaBpTxQyBeYQEQedRZEx1ztcME6h6BMvLg79jStDpVg1zaJhhwhNR8QhqKCmUHEFTSl5lGZ66oWFT3j6t1COCh5KpdFgRNE1l5ZRo3ai6ORw6OXeaoVaHIliJHkzKGqKUEDPDMOo4QsMB8kYrH5lgxGnn3MXJwxYkr411TDA1RvP5wjI04bAiaBodVzjFSgosBNG12AwVX5ByUxQFOCnUEE/FVSOnkWEYdfxCwyLZZ5erpiIU2q2zNAxGEx42Y2k8lDGmPIKEa8xUOqwImkar4TGl+CJgrUfdHA6tvoeVpFgJBYRrSSLdqjitBwXhvBmGUUfFIwioyz5KhEJb9sWrq0JAcZopj6CxVB9DK7MwlQ4rgqYxliOoaGVqh0d0PJhxCne7x8jWoLTPWbcqzpSFzoogw4TH1yMY4EUyde/qhn3j1sBexyMYp/lqpx5R2qmxDE00rAiaJh5Vw6KqOPcYUrGIbh9BHSFG8dSJ5hzg7XN/z5igM3TeDMOo41csEphLrOvRohiMOh5BQ9EFrRzBOHWtMNVeizJnptJhRdA08fCwyZSNoDCqsRxBioVuKi/Pft4Ej6CJ4wAhqpwlc2QYho4sNEwxginyiHLvxlX2aRj/QTLdVLRJd4yWo4EL7qoirAiaJh45JbIbxb4fisWma0HGYQkl4XfcY6QewQBlUTXHiDqGQ8MMEx9kK4uQZICBDgWi7wDee57UnN5AqFUq8y3x77HvxSuf21SOIEFeM5UOK4KmMaVYURQi1dBwPBVBLcERIMBl1WRBDwod4WOqoIRhGHWSbI8i1WgISTnT9AhWapqJvQBGEi4Nei7oeCeNKYuaqUccGk44rAiaRscVHiSAZAqRqlAgtTUwJBRIVXoGikWEYSNCGEbHg0kZwzCMOg6PIMUzFpAW4+kuoJm3Z0o+ekKtATJJVxEkLXFK8WAayiPk9jHVAlYETaO1Lq8JjyAllCASHJSqrgRZxdLzDgiJx82K59Aww8QF2VrDpPxo2ZgAD5sp71k8Iia6xr97PWJTbbEqszKbqXRYETQNydunmMdBUvIIYVSR98xUewRS7z5KuIaSI2iiqSqHhhmmyqCaI0iSjwYUorgtMRcwxt04XzSGYihXao6gIWWbqXRYETSOTiVaUGg4hDCEieRiHUEXR09oYP9ESgg6DsUtDMPoIa0a1vWMIVg+xssjaMILF+a8A+VjJXo5Kc9DrhpOOKwImkbVypTlwSkLOt2cEkq7G/cNb8DKtCyJBUmpGKyk9TYpeYQiLyvDMGpEFItFVA1l7RxBU0taKiqLJHlOaa9FyFfUzv+jnLeGUc5UOqwImkbVM6bbGsa9H91cGkp7BJ21KXVbw5iweCnL0JnKgeH8FoYJj2xlEYqhTJKhlLAlJXVGdzlQRXkjraQlpAMph4Y1FTgdbx/lGcRUOqwImkbZI6hpzbr3o6ssGsuTUQx96PbJAlwWr2yM/dqIzklDGHJomGHigyw0rF017N6PbvsYnfZaBvLpdCM87vkYy6HWVKQ9yiJB2WYqHVYETUOy/Cop9OEZQ7jhSILDQDuWULk/lGujaBWbSoZmGEYd5WIRRSNYu1jEUGhY1fCUKUckQzng+sWrq0LQCjCAxFvKoeFEw4qgaZQ9gppCzDPGVN8pQ6EE7Yap9v1oLjHnPn48i0U4R5BhwiMtFjFkBMvu3cAUEoqc0CgWCcyz1lTy3POhKF4mUn2k+9GIODGVDiuCpiHlnRAUGVVhSAqhSFz3gb0GK3PZPMIYZWFoyCPIDaUZJj5Ii0VkMoAiHyn5dAZkn/JKUZrrCFd8EDwmMDSsEw0xMEa6bjQrgomGFUHTuP/PA4VCvEPDEsFhD8UEeeF0qsy0FUHJeUcUPQaqwlApTyYSfHyGYeiE6iNIGWNT6BxKZ1DEhCInNBRBETL5KJV9mhET0jrrIbx9SSniMRRZzSQEVgRNo3oDGfMIKiqLKqGYePTSUlVckySKq25YSKf3V3RMskTQMQyjR5i1hlVlAEX2RZVFkkeQEjlQTAeyG+TKYXPVHEHNaIhHZh6cs4qiDXDVcBWg2imCDz74IFq2bImMjAx0794dH374oXTs4sWLEYlEPK+vv/7aMW7evHno0KED0tPT0aFDB8yfP19/gsoWW5j2CIrC0H4smdVG6hGo2SxatpambC4gzLcyPYIxizdVfByGYfRQXms4RMcE+/0rkzfJqd7jeMZLtmm3DJPNVyb77PuxRSkCr59Gey2VVUNUZTUb0wmnWimCc+fOxYQJE3DjjTdi9erV6NevHwYPHozNmzf7fm/Dhg3Iz8+Pvdq0aRP7bNmyZRgxYgRGjx6NtWvXYvTo0Rg+fDhWrFihN0ljFcGq4RGCYkVRBLUtSNWqYdvvyWnBYxzzNZEjGGIFGLuFzsUiDBMeqdeL0nBfVbGStaoRKIuUhvvKUSBTiqBdhtqVW8VnEKVZdFDxn/1YjvnKFE5Or6lKVCtF8K677sIll1yCSy+9FO3bt8esWbPQrFkzPPTQQ77fa9SoEXJycmKv5ORDgmDWrFk45ZRTMHnyZLRr1w6TJ0/GSSedhFmzZulNUhralHngTPXJso1Jlli8MmEYlICs00JBpXO+6nyDrFm//cS2URRXSQ8saX4lwzBaOO4p1dCwoqdJRbEiKXmKaSbKHkFCaNguQ5WLERWV2+jfSuoRJMhqe3oNh4YTTrVRBEtKSvDpp59i4MCBju0DBw7E0qVLfb/brVs35Obm4qSTTsKiRYscny1btsyzz0GDBvnus7i4GEVFRY5XjHjcqKrKoiz0oStcSDmCilZxOWW+lDwZ2xjp6gSya2xvZ6NQABNJOnQstmYZJjzSe5fQOcBx70aCx1BkX3QMqem0onx0yGqCUkqRfbJ0FVLERCE/OpIERKLXWGIok64vp9dUJaqNIrht2zaUlZWhcePGju2NGzdGQUGB8Du5ubl49NFHMW/ePLzyyito27YtTjrpJHzwwQexMQUFBUr7BICZM2ciKysr9mrWrNmhD1XzUqSue8U8OGWPoMIYnRU27IIj8DgUwUERmIrhY9kDJ7ofz/dsydCsCDKMOZJUPYIETxNFTsiiIYFeL4mskc1ZGoJWTeORNJROpsg+iZJMifBYdkVQIvti14YQpnakA7EimGhSgodULSKRiOO9ZVmebVHatm2Ltm3bxt7n5eVhy5Yt+Pe//43jjz9ea58AMHnyZEycODH2vqio6JAySPIISm6OpJRD3kLZDeQYE0ZpUlC+ZBZvJPnQPD1NTKPWYQpQVmLbHjRfxXY37mscPZZMSXbMWSKck1MrrrFUucUhq5gVQYYJD6V9jPTedUUXykq9Y+wKn+xYouI0mQxISj4kh2U51LL5umXWgf2CMZL5SmUo4fmSnCK+NuUuI9hP9iUlI6ZQyp4LyqFhVgQTTbXxCGZnZyM5Odnjqdu6davHo+dH7969sXHjxtj7nJwc5X2mp6ejTp06jleMMN4qSh6hw9snWalDufhCMzRMsb6l3knFwhVjXk6FsIU0NJzMHkGGMUmSJHLgkH0yGSoLtfoYjEFjgvYTsSlEsvAxab4EmSUtBLFfG5vMlzoaCJ66WEjcx/gXyT6SPCeEspmEUG0UwbS0NHTv3h0LFy50bF+4cCH69OlD3s/q1auRm5sbe5+Xl+fZ5zvvvKO0TwcU4SO12CheQ4ngoCiLql44qUcw6u0jzIWknKmGfWUCM0x1neD6cWiYYSoHSsN4YwajAXkTSZIrTdHoAklWG5J9qmOkOYsS2Rd1NCTJFEFDfycmIVSr0PDEiRMxevRo9OjRA3l5eXj00UexefNmXH755QAqQrY///wznnnmGQAVFcEtWrTAMcccg5KSEjz33HOYN28e5s2bF9vnVVddheOPPx633XYbhg0bhldffRXvvvsuPvroI71JkhQiRY+gsqBTaJjqu59oeEQS+iApt4bC1Pb52kM4smsszf+jKK+SsFDsIRBhRZBhTCItFpF4kYLuXfcYZVnilkmunEFSrpwswmNv9UWQ56p51rK8R8qzI2YE+7SGiV4nE1EXgKuGqwDVShEcMWIEtm/fjunTpyM/Px8dO3bEm2++iebNmwMA8vPzHT0FS0pKMGnSJPz888/IzMzEMcccgzfeeANDhgyJjenTpw9efPFF/OMf/8BNN92Eo446CnPnzkWvXr00ZylpJyLLiSCFjymCjjJGJQE5ckgokHJBKHMJoQCH6qVFCVuoKILsEWQYo0iLRSTeM5mhF3ePoC0qkJQMlLnnYsuPDpU6Q4neKK4+IpPF5QIlTpoXngRELP+5ULy7srA5kxCqlSIIAOPGjcO4ceOEn82ePdvx/tprr8W1114buM9zzjkH55xzjonpES2gEDmCpppFBylokaTgyrlIEiryZHw61RvL21MNfcgqqiljAqzi2HnDe20YhlGHUixCWQ0pTCqKYz52L5woR9AuH2VtauwyX1XJi7ehHPScOijTo0VxUa+dQxH082AqPBc4RzDhVJscwWqDNEQqKeCQ5fbJBEcor5eC4IhEnJWxsoRpUZ5MXFrZyLwBsvOm5FgKLFq7gJflRjryg7ihNMOERjWcSPEaOvZjPxYh/8+hCMoM5eh6xKaK/+IcMaGkzsjkdaxqOEWSI2jvzCCJmEifYyxDEw0rgqbR9cAB5vIIVRqmAnKLN0lipYuai5IUOLv1bVfgZDkwkjGkHBhV61pwTjKLlkPDDGMWmeKlXARHkaEBjec9iqDEUE4SRExIHjhClbNDPqrKc5m3VFXZDpCPMllNeS7IwsdMQmBF0DghGp3Kxih72GShDwXhYveMUcYoN7dWbTdgyuKV5cnY+mSRwkIcGmYYYziKRVSVnRDyUSSv7cVggJoxSMmPpnRVkCpwIcLHJO9jwDWmVA3LVh+hPOuYhMCKoGmUXfeUqleChy1MmECm5AV1+ycJQ8VKPzvS/cgsZ1Wvq8jidSuC5YJjwnbeHNZgmNBQVhZR7gpgScaohoYDxlDagaka/2FSZ0h5eaqKtG2ddZIiqBk2ZxICK4KmkSk7ofpkKfblIx1L0SMoyssL01OK0ulf2RugWJktDXeLFEGXoONiEYYxh1QGKOSvAT6KFaVjgsDj79mPTU4EhYbDyHNS9EZ19REDHRwo+X+RiLjQkFJZzCSEalc1XOVRdt3L1otUFXQyS1TWJ4uQKxfU0kHWVFU5JG6q5YMk9OFePk64H1loWKAIyhRghmH0kMoaw0VwlDEeY1Ag05OSgehXpWFfhQ4FYebr2Y9qIU2A8W9viSProerJEYxeP8LzUNZyjak0WBE0jdSqCxAsQDiLDa4bMXA+MgvS7u0TLFLuuOHtQoHQ5FnZO6mYMB1KqApCH8Chv4MjBGw/b259wDChUY6YKObcKUdDZB5Be+cAwfEpiquyImhqgYCA1CNpNESi5Pl6BIOKCNkjWJXg0LBpKFYSqeItTF8+gveRVAgi+PdwhLslxSKqDV4pDwHV0Aep/Y5AOCcRQ8OisBDDMHqIjE7376Zy7lRln0hOUBSiJMl6xKrePmUlWXFlEVEXCPsYj5IX8BwjXRuJt5RJCKwImsbPYhN5kWQ3qmoCMin8KVPyKJVzIqFg8xrK5lKZzVBD9eQKKhZxKcCyBecZhlFHuam8rBDERFTAFSKNykdHiJRgBFNSZyjzVZZ9ih5Ve7hbFBKnKHnunO9ApweHhqsSrAiaxtdKEilNCtVsfmNkxReU0IdQ6aQogrKE6RDnRMkpkYaPKVWFAeEa5fAICzGGCY3qyiLa7aoiwUqn1DPmTosR9BulGMqyEKksiqEcMZHIx6D8aE9euETmB563LI9QFhpmGZpoWBE0jUzJo4SGZR4tZWUxSNBJlDz73KQKkeyc/Kp9g8IjlKo4Qg4MxSMo9brahaGuVcwwjBaktYZVGzQLDGVqs2gVIxg4JEtkMl+1jYpMPkoNZcVm0SKlU5ofLZF99s8oTg+WoVUWVgRNI1NAZC1HVMKWgJkqM1Jo2DZf+3bPzSzwCLrb5gjDI7bDG+uNaGDNYkrVsMwqZhhGD1Kxg6xYROY1lCh5IrnmGENVdijes6AWM5RCOVlIXLGiWupoUD1vgaEsdXqwIlgdYEXQNKESaBUbSmt7BP2sYoV+enalya//n8oydPEYI60q1BWGPisPMAyjTlCEAjCTT+cI6crGKBaMOcbYZQ0hn05VrpH6rMo6OAQ8F2RGsLsjhcoY2TkB4ucCkxBYETSNqgWk2kcwlNKkEB6RJQ47LD/7epuS5G3peSsIKM8YyooBIsuZkh9EWFnEL7TOMIwGEuVMtYdq4PJxEo+W43eJsuiRa4JwNqXVinIxnWKkQxo+DkqLccm1ckFomJQ7bvO6yjyY7BGsUigrglOnTsWPP/4Yj7n8MZAtf6bqEdS1eD37EQkFP6s4KEdQdk6SUA1FAQ5VLGIi7CtpmOoY4xceYUHGMKFQVXZ0IyZa0RBZIUiA0uRIi1FV4OIgH4NyqGVGsCzsa98P5bkgdYxwRCXRKCuCr732Go466iicdNJJeOGFF7B///54zKv6IvUIyvovKXail1p1subVEkHnsMAVllmi5Isoh8QNLInnO0Zm8QYot479UMYwDKNFJEAeAXJDmbQcG8UjaDMYSfnRAoWIkiunMl+jYzQ7JtgJ02fVM18ODVcVlBXBTz/9FJ999hk6d+6Mq6++Grm5ubjiiiuwcuXKeMyvGmIvqVdcdoe0HJuB0LA0F8T2u07icMwqdoV9AxXBeOQIUsJCKufEHkGGiS+icKKsUE6zzZSvRzAoGuJWdgKMYNX86FB54YohZmEhDeG8KaFhyJweBAcBkxC0cgQ7d+6Mu+++Gz///DOefPJJ/Pzzz+jbty86deqEe+65B4WFhabnWb2QVlIFCQVKQ+QwK3XYl0cSJTr75cFJwiOi/ahWkIXqNaiQeC2br8xzKx3DiiDDGCew+bLiEpzCXqJ+rbMCvIbuqItwDGXlJYqsNqUI2vOjA7pSkDsmEMYEtQxjRbBKEapYpLy8HCUlJSguLoZlWahfvz4eeughNGvWDHPnzjU1x+qH9AY6eHNIw76E9jGUGz5I0HnGBLQAcJwTJV+EkAsiE4bxEJjS0IdsvqphIRZkDBOaSIDyEGo5Nlk0RJReQzQGVcLHpBApQT4qK4IyJU9w3kY9oQHnzTmCVQotRfDTTz/FlVdeidzcXFx99dXo1q0b1q9fjyVLluDrr7/GlClTMH78eNNzrT5IhUL0hiY0lFZdYi7Ive8YI+mlpWP5BebTEYRCssTbZ4cUEtdsmyP9O0Es6PyUbYZhNAlYecnEWsO+3r4wBWMKOYLSMKrqOclyDWVLhkoM7pihTImYyGSoXW4TVl2RnTeTEJQVwc6dO6N3797YtGkTnnjiCWzZsgX/+te/0Lp169iYCy64AL/99pvRiVYrgjyCuh4tzxjJDa+sEGl6xpKSxcLFE2oVeELtyJK33Y2p/c4JIOZGivYjUVztYzznLam6ZhhGD6FCRFlCUrYCkaw1jKHwZ5BCRC2aUHouULyGoopgv/kqKsDKToSAIkJeazjhpAQPcXLuuefi4osvRtOmTaVjGjZsiPLyw/jhKFQwCNZh7Caz5Dc8aQkl1YapQTcqJDc8sadUUHf96LGscg0lTyE84r42UsWVck6SKkeGYfQghVEF2x2hTcrymhQDl6DsiDovqIaGZevy2hFFKDxzDnIQaOT/xeQjoWOCb8pQOYAk13yTDl0+mYOAqTSUPYKWZaFevXqe7fv27cP06dONTKraE3ST+SlEQQnTQesRe8K+CtWzlBYpjh6ByeJWNTrnrVRQoplDRCqAoYY+ODTMMEYRygCFtYZJaTF+oWFIxqh4BCkdEySyhBQF0pSPUnkuma/jnCiGMqHhvucaCxwETEJQVgSnTZuG3bt3e7bv3bsX06ZNMzKp6o9IwSDkgigrRCJBR20No+jeF54TMTwSOye/5qKinlKEHBiZwBSuKuDOgdH1CPo8cBiG0SNQ9lGWj1NVBAX3d6hiungbwYotZhyFcvCOcYeXTRjKyoo0R1QSjZZHMGJXIg6ydu1a1K9f38ik/HjwwQfRsmVLZGRkoHv37vjwww+lY1955RWccsopaNiwIerUqYO8vDy8/fbbjjGzZ89GJBLxvEI1yhZ6z+w3PKGkXrWnlCM0rGsVq4aGDQlDSsI0qWJQcE5AcMNULSEmCUExDKOHSDEghYaDIh3uMZTl4xxak3d/sv34KosK4WNjTadlzwVZuxsT6UBURwM3lK4qkHME69WrF1OSjj76aIcyWFZWht27d+Pyyy+PyySjzJ07FxMmTMCDDz6Ivn374pFHHsHgwYOxbt06HHnkkZ7xH3zwAU455RTMmDEDdevWxVNPPYXTTz8dK1asQLdu3WLj6tSpgw0bNji+m5GRoT/RoCbE0tCm4pJEqlZxbC6SPBn3OsJGikWI561tFdv7ZAW0oZEpcL7KLSFPhi1ahgmPqH2MrGpYWCxC9QgqygBZLrEdioetvKyiAlg1YhJUEQwQl9YLOO8kd8REYiiTKosVrjErggmHrAjOmjULlmXh4osvxrRp05CVlRX7LC0tDS1atEBeXl5cJhnlrrvuwiWXXIJLL700Nqe3334bDz30EGbOnCmcs50ZM2bg1VdfxWuvveZQBCORCHJycsxP2OOtCmiPQBIKIdbStLcJoHjGhMnQihakXUETWaru/ShbvBIFWORVcOfASJOhFaxZ92cMw+gROjTsl7Kh2CsvUD7a5JH9M2UPm02xCtM/keQtpXg5RUawe4xg/6peQ24fU6UgK4IXXnghAKBly5bo06cPUlNTA75hlpKSEnz66ae4/vrrHdsHDhyIpUuXkvZRXl6OXbt2eULYu3fvRvPmzVFWVoauXbvilltucSiKboqLi1FcXBx7X1RU5BwgtQ5dvZUiEZqVJFs9o1wwRmqxudsE6PaL0hEcpkPDKgUwhDF24S3LD6J4DBiG0UfUZkpp5SC3gSZqmkwtZBAYlbI0FNkY6rq8IgeBsiKoGSmi5D36FhES5GOQ0sldFxKO+79ZiF3R6datG/bt24eioiLhK15s27YNZWVlaNy4sWN748aNUVBQQNrHnXfeiT179mD48OGxbe3atcPs2bPxv//9D3PmzEFGRgb69u2LjRs3Svczc+ZMZGVlxV7NmjVzDiApTQo3h7LlJ8mVk81FdqNSQgCkMEGQZ1GmCKo8BIhhIZUqZ9UxDMPoI8wRtIeGA4om/GSfIxoS5PEPkwfnF0Y1sPKSUD66DHthoZws3E3pFOEylEl9BG1fEYXWZelATEIgeQTr1auH/Px8NGrUCHXr1hUWi0SLSMrK4usdcR9bVrziZs6cOZg6dSpeffVVNGrUKLa9d+/e6N27d+x93759ceyxx+K+++7DvffeK9zX5MmTMXHixNj7oqIipzIotKREwiVJfiOGCZGKblTV/D9yBZmoL5+PcAnMkzGcKG5ZtDH2uZDWI+bQMMMYRTs0TCiUC2yarFEwBoGiqVxZbJMlsvOOyXRJf1m/VBWZ7FPqAuGSw8J5+jXlD+qiwR7BRENSBN9///1YOHXRokVxnZCM7OxsJCcne7x/W7du9XgJ3cydOxeXXHIJXnrpJZx88sm+Y5OSknDcccf5egTT09ORnp4u34mK212mWEktP5nXS9ZQOsAKtc9TFrJwnJN7PwHLsVGVr6CHQGCjWNuanZTjOMaE9AgyDBMeUnpIgEIUWOxAMYI1FEGhYqXYxFkaDTm4H6tMbvw7DHL7mKCOCTqeUN39uHPQYwNYGUwwJEWwf//+wt8rk7S0NHTv3h0LFy7EWWedFdu+cOFCDBs2TPq9OXPm4OKLL8acOXNw2mmnBR7HsiysWbMGnTp10p+s7g0UVD3rUbxEAjNM02S/MQSFMlRfvqA8maii52cVU46jUOXs+IygUDIMEwJiMZ1V5gpXBngESS1dXGMo4U9RCNavWCQ2D4oR7G46Han4moq3zz6G1CzaXUwnkH3u7gwURVDF+8gkBGW3xoIFC/DRRx/F3j/wwAPo2rUrRo0ahR07dhidnJuJEyfi8ccfx5NPPon169fj6quvxubNm2NtayZPnowLLrggNn7OnDm44IILcOedd6J3794oKChAQUEBCgsLY2OmTZuGt99+G99//z3WrFmDSy65BGvWrAnXCkclnCgTQNKFwwWKl2MMVZFRrSBTGRPCCydTBIMKSjyeUFHydpw75zMMo09Q6yyZwRjL/wNR9gny6TzpISIZEKKhtP0YMlni23DfT/bpRIoMRUOkkSLCfmRtcZhKR1kR/L//+79YUcgXX3yBiRMnYsiQIfj+++8deXPxYMSIEZg1axamT5+Orl274oMPPsCbb76J5s2bAwDy8/OxefPm2PhHHnkEBw4cwN/+9jfk5ubGXldddVVszM6dO3HZZZehffv2GDhwIH7++Wd88MEH6Nmzp/5EpWFJzd5KgUoe4AgBkAo4FHI4ZPshKVaU86auumKrunbPnWrpU6zZwBxLmaXPMIw2MRmg2WeVHIpVVYgEcwkjH92yRHhOsrZiCuftGOP2csZOSnwc+xwo502JmLgNe5GcZRICuX1MlE2bNqFDhw4AgHnz5uH000/HjBkz8Nlnn2HIkCHGJ+hm3LhxGDdunPCz2bNnO94vXrw4cH9333037r77bgMzsyFUrFw3a2BJvcTbp91BXifPg9KBX9OC9IRZfDyhsf34hI9Dhbv9Ep0Jgo4bSjNMeIIUQZn3zEiPQIk8coxxyQCRHPJVmoJCwwID1zNGRfYRCuU8RYRB0RCX78i0Z5FJCMoewbS0NOzduxcA8O6772LgwIEAgPr168e1fUy1Iowl6tdcVBb+dI8hlfcH3fAh1p1UtQ7txxKuGgKndS1dNUThONIxrrBQOQsxhqkcAgw9+0+VEKnfvUvKE6aMkYWYQ0aBKGOoimtc2oGpKNIEbymTEJQ9gn/6058wceJE9O3bF5988gnmzp0LAPjmm29wxBFHGJ9gtYRyA8XaDUjCkkHC0ConegRlyyNprp5B8RpSWtW4W+sE5QcBOBRiluVPUkK6QXNha5ZhEoKo4b59nXDgkAyQGoOC6ll3SJIUDQkwgpOSAftuTXjGlBVBRU+ocKUon/OWKcmiOWgplCxDqwrKHsH7778fKSkpePnll/HQQw+hadOmAIC33noLp556qvEJVktIOXcB4WNH8qzthrf/VA0TxI4TQtkpl8yXvJ+gkLgoPBJxKnrS81asZovunxQeYSHGMHHFT07EZJ8oT1glKiBJ6/CVE5pyza10Sr2PQQqa/ViU89as0iU9OwjnBIlRzjK0yqLsETzyyCPx+uuve7Ybz7OrzmgLoKAQQMT503GjBjVM9bPYZHMRVdeFUPLsn7k9ocLzPihkonNVUYBl1YDKYSGZV4ETnRnGKJ77Lsl5f9t/igzGMAYuJU/Ysx9R+xgdWeKSSckpAsVUkEOtKvNJ4W5K+hKCxwQ+FyQtZpiEoKwIAhVr9n777bfYunUrysudD8Hjjz/eyMSqNUpCQRa6tIVH7ILO/lO6koeBHA7pfsKuTSlJmBYWi9gEXWyca56OhqmKVuihcsDgc6KEWRiG0cfvvjMWDTHYUNqEIhg452g0RHDesbC5TmGfimHvbnFmQ3ROsZ6vsnOKHsu2H+68kFCUFcHly5dj1KhR+PHHH2G5HoCVscRctcCYUIgqgm5hmOyzD3fDT0LIItR8KXmEKvuxvOcNtyJIaJgaU5LjUOUsW0yeYRh9SIrgQVlQLigqk6aH+Bl6MoWIoiwGKILS9lqEnqSk846Oia6f7Gq4ryXPCdfPgSDyQnm+eMaASSDKiuDll1+OHj164I033kBubi5pnd/DjlBeOL/wiMQzRvFW+Qo600qTgXzEiG1NS19vQBxaRwjHwIakuz7DMPr4KV9uI9ihgEgUlYQYuBTZRxhjD/sC3vO2j7XLR/sydFrKLSF8bEfX+HcryawJJhRlRXDjxo14+eWX0bp163jM54+BSYXI/tOjEGnmuOnkcEQ/s1uk5IbSBOvQo1iJFMGgYhGBUaL8N+BiEYZJCH7eKJkMMGbo+cmAaFGZez+2uZO8XjoyX5IX7hhjuzYW9Tgh+svCxPOFZWhVwu3nDaRXr1749ttv4zGXPw7aIcdkkKxiT69B1e7wshtVI9eQIuh0Wwm4z9t3+T2J11DVgymtePNbi5StWYYJjchDpHJ/mzJM3WOkhXIRwRhXBwJV2Rfdj6dtjiAaEtRNwtGHlSjPhfOlPBe4BVd1Rtkj+Pe//x3XXHMNCgoK0KlTJ6Smpjo+79y5s7HJVV8UEnFjVqYrKdj+fVmxSKWGaxUqv3RCEn7hbIqgs4fNrXLicVTOm1IAwzCMNqTQsI8MCNO2RGuM7X05Rc4qRF5iSh6lY4Ksm0ScztuOSsN9VgSrLMqK4Nlnnw0AuPjii2PbIpEILMviYpEo0hteJQfGPiZ6TU3d8MT8lqC1ILWUTgXFKkgBdjeLjp6bYy6Uv4Hdck6W/A1YiDFMXBE13I/Jx+iYICNYUDRhqmG8Y0yyUxFUkaGe/fidt1/HBLd89CsiJJyTfV9++7ETSqHkFlxVBa21hpkAdPrTuW/4ig+dY2T99LSsMVOWc0AY1UieDNETShkTz4pqhmH08fOeeTxjPq1NkpKB8gOHPnM3jBcqIKoKnI5CGbDWsOO8ZLLP9t1Y+FjyXHCct8vAVemzKivGsR/L1POFSQjKimDz5s3jMY8/FlLLj3LD+3isKMqOR5EJ00pAcT/aYQJqCwUdRTAe3oAk53rEnCPIMOHxM4Kp9zcQEBWgRDFC5PYpK0S6ss9WLe0ODYdJ0REW3KkaypRnEHdeqEokBQ/x8uyzz6Jv375o0qQJfvzxRwDArFmz8OqrrxqdXPVFQ/kSKYKehtGy9jGUpGC3QiSyDkO2j1FazUPSMFV0LGpYyD44TMNUiqDjYhGGMUu8jEH3uuakNckNGYwieUM6lkIhCPXaBCnA0l6sYc/bZ86xMSxDE4myIvjQQw9h4sSJGDJkCHbu3BnLCaxbty5mzZplen7VExOWH0AIE8iUPJuiEqphqmC+ygJTsWGqaM7u0Id7X6Ix0geFqH+ioRYzDMPoI7ynJO1jgIr7VicqQFlek9SL1ZSy6ON9JJ23pOG+6lx00mJ0nB7C/bAMTSTKiuB9992Hxx57DDfeeCOSkw/9A/fo0QNffPGF0clVW3wVNPcYH0UwlvDsDgEEhIYBW4sZw1YdKfHax/voOW9BbmSQAiyzVO0/jZ83fMZwgRTDhMdPPorkRHmAQkQxBlUa7vtFBRQ8gnYCDeVYOMQ5hqQAKxjkwvkSxsjyCJUdDewRTCRaxSLdunXzbE9PT8eePXuMTKrao3STSfpFRcf4hgB8EqYD82TsIWjBGGrfKWXh4hIcsvO2//RYxZbcGxBTgF37Is/XHTpSUCgZhtFHJUQaHSNrIeXYR1gDV6IsmuqP6mtMuwz76BihIqgg87XTYpLguFZC419H6WRFMJEoewRbtmyJNWvWeLa/9dZb6NChg4k5VX908ibcFcHRMcIb/uBYT74dvMKFYh1ScvtI1jVFsXKFmIWWPkFZFB2n4peAuQR5MHWKbViIMUxoRPemrDI2OkbVM+YJf6o03PdTrDS8cEpGcMjzlo6hRG8qMceSSQjKHsH/+7//w9/+9jfs378flmXhk08+wZw5czBz5kw8/vjj8Zhj9UNL+aKEPhQ8Y0pFE7revhCWX0zQSQS8Y4y7Kg4Vgie0N8DwtWEYRh/3vemXFgMcvO8oERN7pCNOq48o9Uf1kWskRdAt86PKW4DMj/60P1f8lFth/p+kUM7v2qjkETIJQVkRvOiii3DgwAFce+212Lt3L0aNGoWmTZvinnvuwciRI+Mxx+qH8OYIEEBuBS76mZ9VFz2WjnVIEnSiVgJ+idei/UjO2zc07BKqSlaxSnhEMibonGRJ1QzD6CO6N2OfGfSMBRqDRAOXFA0x5BF0F7lpewR1IiZupVMQGtZq2s0NpasKyoogAIwdOxZjx47Ftm3bUF5ejkaNGpmeV/VGJ5SgkwwtHCMRCmG760dd/54QAKE5q59iJbX0YSgsJKuotmyf2ccQPAYyrwLDMPq47ylPI2iAZigfHCNKnZEZceU+sk8mA8rDRkNChIbdLXHsY0ThbuliBD5FHrJl84Q5ghoGN8vQKkNS8BAnJ554Inbu3AkAyM7OjimBRUVFOPHEE41Ortqik3cS/cw3KZiiEMmEgltw6N6obqEQFCYIYRX7hYUgCY8EKcBAQEU1NdzN1izDGEUl0gH4KILupdYI+Wumql5JClFAOpD9p+y8RUpyTK4FhIalY3SaRatEnAgFJUxCUPYILl68GCUlJZ7t+/fvx4cffmhkUtUenVCC25oFNIWhRCioJvO6LWeVPA+thqluS9/H4o2N8bs2ovN25eQo5Qi6vQrcUJphjKJ0fwvGSBvuuxUZipIniGJQ5JpvdIHiEXTJEtkYYXPmgLQYyhhSSBzBY1TPGyxDEwlZEfz8889jv69btw4FBQWx92VlZViwYAGaNm1qdnbVFZUlddztYzzKok8ytP37sTE66xEbTqpWCUOTLF4Vb0C8hKFLoRQ9KBiG0Ydyf7uXdhSGP933t+sYovQQPxkgK5rQ9p4FtAwDbGkxMkNZ1dvnHiOaL1Hm26E4EUhOD5ahiYQcGu7atSu6deuGSCSCE088EV27do29unfvjltvvRU333xzPOcKAHjwwQfRsmVLZGRkoHv37oFeyCVLlqB79+7IyMhAq1at8PDDD3vGzJs3Dx06dEB6ejo6dOiA+fPnh5ukKAQQ1JZE1j7GoRBBPEbkEXRXkCnnCMY5BBATCiJvX0AldPT7yoKOOCbwnGQKMMMw2njuqSAj2O0ZI3YOoIwhLdOpKh+jqSh+5xSNhvhVS+sUCEpShvyeC9qrhmjKfCZhkBXBTZs24bvvvou1jNm0aVPs9fPPP6OoqAgXX3xxPOeKuXPnYsKECbjxxhuxevVq9OvXD4MHD8bmzZulcx4yZAj69euH1atX44YbbsD48eMxb9682Jhly5ZhxIgRGD16NNauXYvRo0dj+PDhWLFihf5E3ZZfkqu83zEmqH1MkDDU9IxRBJ1u53yK5RdUERz4EJAowKGtYlfoSJYwzYogw5iF4vXyMwZJoWEN+ShquC+Tob7hY2KxCEXmu0PQ9nOKtRXza63jmnf0+yaMf1k0ye3lFD1fmIRADg03b94cAFBenrg/2F133YVLLrkEl156KQBg1qxZePvtt/HQQw9h5syZnvEPP/wwjjzyyNgayO3bt8eqVavw73//G2effXZsH6eccgomT54MAJg8eTKWLFmCWbNmYc6cOXoTFd0cgMQ6DGij4qfIRI+lbfEqhEeUhIKPoPMIVYX8P7+wkOy8hQLTfW249QHDJBwVuQYguI2KpjEYJj86rHz0nJOk16CfEQxUnLtfeg1JcRXJUFdLMeGzTlKMGPNyHpTDojWfmYSg1T7mm2++weLFi7F161aPYhiv8HBJSQk+/fRTXH/99Y7tAwcOxNKlS4XfWbZsGQYOHOjYNmjQIDzxxBMoLS1Famoqli1bhquvvtozJqo8iiguLkZxcXHsfVFRkXMA6YanthIQVb2GDRPYxtgFD8lr6FJ6lEMAlGtDeQiYCI8QHgJEAT/9tXUo3FcKhmH06Ls3H39Oi75zKzIqBWPuqmFFGRAqP9oGOURKSXmhLDFnwkFgN9pl7XcUG0qrPBeYhKCsCD722GO44oorkJ2djZycHERs/xSRSCRuiuC2bdtQVlaGxo0bO7Y3btzYUbhip6CgQDj+wIED2LZtG3Jzc6VjZPsEgJkzZ2LatGnyySqFAPxyQSjhkSCFSNAiBTYBZIEo6FznBgQLTKlySxijGhYShqHd14YYPtZ4CBTuK8XOvd5qeoZhaOwtLQeiiqDM4CSFUd0hUg2DUTUq4B6rLfuIUSCht49SaOgKibu9fX4h3eh+hA4C1xjf3rE+jhEmISgrgrfeeiv++c9/4rrrrovHfAKJuG4+y7I824LGu7er7nPy5MmYOHFi7H1RURGaNWtm24HsH1+h2EFpjF+vPJHFGyJMoOI1FM3XHWbRPm9JWMitLLobxdp/SkPDQauleAVmVmYqGIbRJ2Of7R4yERWIjolLeojLCC53GdxhjGDl/OgwHkFR/0RXyhBcxr8d2X78+ssKZbWr+wVTqSgrgjt27MC5554bj7n4kp2djeTkZI+nbuvWrR6PXpScnBzh+JSUFDRo0MB3jGyfAJCeno709HT5ZHUsP3frg+j3SQqR/SaSVA37Jg4rhD5IY4IKQSC4NgpJ4NFjiK6fb0NuU+ftegjAws2ndwDDMCH46ntg7cHfTeRHC8dQC0pUC+WIYd+KX5xzIMksxRxBT8N9ouyL/rTKDs3TLYtJfRh1CgSZRJEUPMTJueeei3feeScec/ElLS0N3bt3x8KFCx3bFy5ciD59+gi/k5eX5xn/zjvvoEePHkhNTfUdI9snjegNFKIXlGgMqbDCVPWsjiLoPpZfjmCAUHCEoEM8BCjhEcp5+648wGENhgmPauoHQSHSkY+kPOGAghLhfN1jVPIefZQmLSXZ77mgIh8pq2hxaLiqo+wRbN26NW666SYsX74cnTp1iilUUcaPH29scm4mTpyI0aNHo0ePHsjLy8Ojjz6KzZs34/LLLwdQEbL9+eef8cwzzwAALr/8ctx///2YOHEixo4di2XLluGJJ55wVANfddVVOP7443Hbbbdh2LBhePXVV/Huu+/io48+0p+oO8lW1iPQU2nlHiPzGrr3Y98NQcmjtlkIEoZSgenTMJUUQgnhDVDKn9RVgCPic2IYRh8Vb76xMSp5wjqN8lVz5XQUYBVPqI+SB8KYMA6CWPsYP28pkwiUFcFHH30UtWrVwpIlS7BkyRLHZ5FIJK6K4IgRI7B9+3ZMnz4d+fn56NixI958881Ya5v8/HxHT8GWLVvizTffxNVXX40HHngATZo0wb333htrHQMAffr0wYsvvoh//OMfuOmmm3DUUUdh7ty56NWrl/5EpV4ve36FBU+Crf1nbIyqxesWHJWYMB0bc/C9rwKsUSSjPCaovYTsvEX9wQjXhmEYfZTvb4rBWOZV4ABFZUenMtbHkxcYDREpZ65WKxT5SMqP9hnjNtqjn6kayp5rI3gu8BJzCUVZEdy0aVM85kFm3LhxGDdunPCz2bNne7b1798fn332me8+zznnHJxzzjkmpncQWYhUMfRR7hJi0f0Ys5xtyqIb9w2v1UtLdt6KydCk66ehUPoqtz4J07JrwzBMCHy8+dI0k5AN90XKTlKyxMA1pQgGeQRFaTH24kVJj0CllZcE8jxmuPu133Eb/+4c9IiPoRxg/DMJIyl4CKOM54Y37fUi3PAeZdGvWMTluo9+5lZK7ecUPYZOLohfyMLvnJQVyiDL2SdPJlZ1rWAVMwyjj583n5JeE6rXoKx61vaZJ4Ljpyyq9FA11E3CZH9Zxxh3ixlCRbDOeTMJg+wRtLdL8eOuu+7SnswfBrLlZyL8KVGs4pYr5xYKfjkworBGmPN2hUf8Ouf77sfdS8sGJZeGFUGGMY/vvStRrFRlACU/2j5GueG+Oy/cz3gVnFO5a4xIoSy3VfTaP/N9LhDa5kivDaHXoMfbR2krxiuLVBXIiuDq1asDx/j13jus0FlTUlQZ6whN2j8z1Y/QT9mJhkcOhkjd5yay6oz1CCR4BKXtERTCxzJPqGMMK4IMUyl4FBlC2Fd75SVXWozD22dTZizIZYAj6gLnGB2lNDZG08DVargvOW/7SSmFxFU8oa5nHZMwyIrgokWL4jmPPxaxf/yg9jGGGof6NUyNzsNXIXLN1z1nuzD1qwimekKF1qxPKFsaFqJ4S32OJUuGtv+UeQxYEWQYs5B6iZoygv28XtQwqp/XixCm1pVrQT0CAYHMJzgjPOdNUQQPytByynPBx4nAMjShJAUPYZRxCwXhDU9MhlYWdLL96Ag6nzGiEEC5e4ymcusWdO6xwMFCGlWPoMAb4Fl5QOHa2I/DMEw4fEObYaILhmUf4JMfrdAflWIEa8t8ascJjWsjSgeKhYZ9KoJjyqJgDLfgSiisCMYDmVDwuO4J60WKBJRv1bBO9axGc1E/y0+rNQwIY/ysYhXr2pXCoPoQ8ISFOKzBMKEJbQTreATdVa/wGu5Cr6E7KuCOLhCUs1DGv6Fokp981GkfI8wRdBncspVQmITBimA8IOcIGvL2+fWL8jtWrCpOdMMHJFXLlLOgMZTzLg8jxNy9GgMEr9SzGBA64tAww5jFzwg2FlVRLBYRjRHKI5nsoxj/isarVa5RKEfxGrpkqNuwj47xVQRF8tzl7eOG0lUOVgTjgVuxkgmOQGWHGB7xW0bNbz9JPi0UpFYxwSPomwviUrykwls3PGI6h0jkLeUcQYYxjmqIlJQrZyA0TDVwAQTmUOvKNXcXCFL/xKBCQ42G+4h4I1L2n7K5OBRXiVLPJAxWBOOB5yZMdAggqH2MX2hYFkKhVIfJrPiAaul4XRtKcnZgCwW/hqkMw2jjp+SJikXcDfdFsoSUS+yunnWNkYY/fYxg7QI3YhSI4jV0jNFJnaH0l5UZ/xoKO5MwtBTBDz/8EOeffz7y8vLw888/AwCeffbZcOvz/pHQcd3LBEegty+EcPE0TPULHxMtXvtPpQRln5BuRPBvasLbJzyW64HjzpOJWcMc1mAYo2iFUQN67pFSUYI8Y+5iB4LsU5qLXzeJg/KGtJpUvCqqfZ5TVI+g37PFfQym0lFWBOfNm4dBgwYhMzMTq1evRnFxMQBg165dmDFjhvEJVkvIFW8id7hfLohuArLOmrvuMVGFyGXxegpgFD2h2m0hZFa8zoPCNoSyzJJoHwzDhMNXOQuhWAWFUWX9WqXKjqRZNCDwjGkU9mkvm2c3pkGUoYTnggjptQnRG5FJGMqK4K233oqHH34Yjz32GFJTU2Pb+/TpE7im72GDtKu7YYsNCLZmfffjaqMiGhPLI7TtK8x8yQqcrhDz8yqoKKaKFi/DMOFQUc4AHwXDbwUilYKSoI4J0Yb7gCeqIpJHnnNSmAtppSjVhtIBiqknUhTxuTZBbXMI8pxJGMqK4IYNG3D88cd7ttepUwc7d+40MafqDzmsQcmb0EyY9iT0BglVWTg2IE+GFLKghIZNeQPc5xQyx1L2EBAlTDMMo49qw32yshhSJslkn2M/hBYp1LkEphXFWz5KGu7bZZ40miRSXFkRrOooK4K5ubn49ttvPds/+ugjtGrVysikqj2Uf3ySAmegKg7wJlXrrNsptfwolqpCmDp2TppjVJdZKi/zV9pliqAdFmIMEx6VsCVgzpgONAZj4RDvd+2eMaEcdhVWmIrwBLUM04oUudN0BJGi2FhJ6oySd5KjKlUFZUXwr3/9K6666iqsWLECkUgEv/zyC55//nlMmjQJ48aNi8ccqx8kt3yAB853P/GwMgPmLLX8bL+HEt6K3gD3fihVeqIx0XnLjqUSFmIYRh8tOVEJRqXMCLbPJ4xSGjp6I1nNw3cdYb85SxruO87bLR9dhTRuh4ZdcZV1imASBnmt4SjXXnstCgsLccIJJ2D//v04/vjjkZ6ejkmTJuHKK6+MxxyrHxSh4LbYkkzlEYbpp+dqkWIf4+cZS0oGyg94vX3anfN1cmBkhTQhqwr9vAH282YYJiSKMsvjYdPNuQvYj6wvrGNMnJXSsBXV7rAvdT7255TwvCVFhDrynEkYyoogAPzzn//EjTfeiHXr1qG8vBwdOnRArVq1TM+t+uK+CUUWELkZKkWxEoV93UugUdrQHLypfXNBXJaffT9aVrxovtQxpvKD/BRBtwJszw9yeQwYhtHHc18GKDsmGkrHxgg8bLFCOXf7GEGOIEXW6Mh8JUNZ47xVGlO7jeDoXGL7AqCdI8gyNJEoh4aj1KhRAz169EC7du3w7rvvYv369SbnVc3RaR9DaA0TUyhVG4fK8kUkypcsGTo6DpAri6Lj+OY9hmm2TRmjuxSTO09GFBZyew0ZhtHGz5uvdO/6yL6onE3ykbPS0HBUPlJkn0aHAt39uOfrN8ZTxawgZ31Dw35Vw+7njyRFh0kYyn+J4cOH4/777wcA7Nu3D8cddxyGDx+Ozp07Y968ecYnWC0pLyPm5Om69/3CIwY8YzJvHyBWiBw5ghQr1P5VFcU1hBAzNUZ43mzNMkxodO5L0feV1ywOkMWy1jCOMRSDnDKXMOksqqF1akGJTxTIXVmsHe7m9JpEoqwIfvDBB+jXrx8AYP78+SgvL8fOnTtx77334tZbbzU+wWqJjlBQWoXDz72v0tZFolhRLD9QwiMKFq/qfKUKMKHoRNoEOxI8H1lYiGGYcJjyjCmHUd2RF+LqGRVvFOZi6pyoCiVhP0KHhVv2ueZrHxuTn35tc4hzYRKGsiJYWFiI+vXrAwAWLFiAs88+GzVq1MBpp52GjRs3Gp9g9UKS/BqogMDnhrdbShptX2L7EYUk3G1U/BRBqlVsKG+PkruiXAkd0MlfdE7u/di3x/JkWIgxTGh0jGCS0hTkYbO31xI0TXa3URHKAIKy427jRcn5lnkwSStO+ayfHD0vlT61oWS+bS7C7g2cXpNIlBXBZs2aYdmyZdizZw8WLFiAgQMHAgB27NiBjIwM4xOsVqi2EjDh3tcKkQZYbb43vMvyc4yJc49A5fOWhKpVvH2eMaJrw2ENhgkNRfZR8uA89zfBYHSvI+wZQ5GP9rkI9hG3AkFdOeuWjwEdJ0jnHcYgZxKFctXwhAkTcN5556FWrVpo3rw5BgwYAKAiZNypUyfT86teBN4cOrkrBrxnbktUZpHp3PCOMaDd8CTL2YAiLRW8MkHnpwj6hcTZmmWY0FCUB78UEu12VYoywCH7gvKjK6Phfohnh1DmyyJFKtXSqtEvlqGJRFkRHDduHHr27IktW7bglFNOQdLB6qtWrVpxjqDUIygSUCDeqPGw/AKO5ScUopCqhgUCiqTkWcGd8ymWvuxYsnU7fUPDIo8Bh4YZxhgyDxwA0nrtUmM6oJ+eXU445BrBMxaUIxj9Pfq59vrJihXBVC9coOxTdRDYvYoRwG8de/YIVhmUQ8MA0KNHD5x11lmO3oGnnXYa+vbta2xibnbs2IHRo0cjKysLWVlZGD16tO/axqWlpbjuuuvQqVMn1KxZE02aNMEFF1yAX375xTFuwIABiEQijtfIkSP1JqkcGg7IF6GEEnTW5Q2ynEWCDqhonuyei/13U2FfnesXJiRBUgR9HhTlHBpmmNAoN8EP02JG0kPVTwb4psVQIiZh5FrIhtIxuaUTDRHJx4DcSPvv0mvDDaWrCiSP4MSJE8k7vOuuu7Qn48eoUaPw008/YcGCBQCAyy67DKNHj8Zrr70mHL9371589tlnuOmmm9ClSxfs2LEDEyZMwBlnnIFVq1Y5xo4dOxbTp0+Pvc/MzNSbZCQJQJnCDR9k+ZlsmKqSJ2ObgyMUIyhcsY/3hKkJ1mGsr5dPXk+QEJOdk0eRDgih+IZHAqqlGYYJR1iDUSWfTponLFEEKUawKEUHIDgIdBRgkSeUEDZXPW+HAkw5b5ehHI18CQv7WBGsKpAUwdWrV5N2FnGvUWiI9evXY8GCBVi+fDl69eoFAHjssceQl5eHDRs2oG3btp7vZGVlYeHChY5t9913H3r27InNmzfjyCOPjG2vUaMGcnJywk9UpgjqLh8n9fb57CfohnccQ2YdCsK+AE0Yim746JyjAizQSycJ6ZJazITwLPqGR/y667MQY5jQUDx5Hpmlu56uYlTALvtUmulTxpAa7rsMcpIRrOAtFXn7PHMWGP+wxBXMjn1KDHLHeYNJICRFcNGiRfGehy/Lli1DVlZWTAkEgN69eyMrKwtLly4VKoIiCgsLEYlEULduXcf2559/Hs899xwaN26MwYMHY8qUKahdu7Z0P8XFxSguLo69LyoqqvglSCFSXefRY80SejQJ82QUE5CloWGZkkcUhlHrUXfJp9DrMMsEb/S8uGqYYRKGaloMJRpCXY84mpMsNYJDyj7hGNMVwXCNEc3ZHXEKyAu3/x1ECjDg4yCwpc5waLhKo7XWcGVTUFCARo0aebY3atQIBQUFpH3s378f119/PUaNGoU6derEtp933nlo2bIlcnJy8OWXX2Ly5MlYu3atx5toZ+bMmZg2bZrgkxDtY0jrEctCAIo995JEFlk8wiOS8DFlMXSh4NUJm1M8oQfnIxN0jvAIh4YZJi5QPILGlCZJsYiu7PN4xhSURcp5J7nmG9RDlbTilF1BU6yWds/HPV8AjmI6SmoSkzCUFcETTjjBNwT8/vvvk/c1depUiUJ1iJUrVwKA8JiWZZHC0aWlpRg5ciTKy8vx4IMPOj4bO3Zs7PeOHTuiTZs26NGjBz777DMce+yxwv1NnjzZkTdZVFSEZs2aEZqLui0tUw1TBaFhkkJkn47NMxZGERSu5GH7XVo1LGlZ4Bijo+QpPEyk4RGZgD84ppyFGMOEhqLk6aSHiHLYSB5/SqGcrX2MNEdQZiiHkfkKjaAdYxSLZMoJymJ5qXi7kieUoyqJRFkR7Nq1q+N9aWkp1qxZgy+//BIXXnih0r6uvPLKwArdFi1a4PPPP8evv/7q+ey3335D48aNfb9fWlqK4cOHY9OmTXj//fcd3kARxx57LFJTU7Fx40apIpieno709HTvByqWH1XZkRZf2MaQ2g2IOudTFCJZeESSLyINj9itw6Dzdoe7VcK+MoEpO2+CoCsjCDqGYcJBSQ8hRQX8lMUAQzlJJvtkimDUGJTkc9vHk1J9ZIprPPKjQYuGBHpLKZ5Q7iNYlVFWBO+++27h9qlTp2L37t1K+8rOzkZ2dnbguLy8PBQWFuKTTz5Bz549AQArVqxAYWEh+vTpI/1eVAncuHEjFi1ahAYNGgQe66uvvkJpaSlyc3PpJxLFXiVlypNHWkYtqE+WTVmk3PDKuSDRG16nlYBuE1hKaBjBlr5D0MksXsl5xx4aB727cSqWYpjDDqkRrBM+FhmM7uIL3WiI3QgO8ghKwsekc7LLLI2ISWCPRZFhj2DlFvCRjyrGPxvTiUQQI9Tj/PPPx5NPPmlqdw7at2+PU089FWPHjsXy5cuxfPlyjB07FkOHDnUUirRr1w7z588HABw4cADnnHMOVq1aheeffx5lZWUoKChAQUEBSkpKAADfffcdpk+fjlWrVuGHH37Am2++iXPPPRfdunXT64no8HoF9IKKjnOPUW2RojpG2i9K1jiUUiwisYplrVYCBbPEG+BRkkVCSrVPFoItXpIw5NAGw4TCt3pWFOkwtAKRstdLojTptpihRIr8rg2pkbZKD1VZ/p9sjGI3CeF82SOYSIwpgsuWLYvrWsPPP/88OnXqhIEDB2LgwIHo3Lkznn32WceYDRs2oLCwEADw008/4X//+x9++ukndO3aFbm5ubHX0qVLAQBpaWl47733MGjQILRt2xbjx4/HwIED8e677yI5Odkzh0AcVVK6icNua8xE02RbcrFU2QlqAQCiVSwQUPbx0hUDJPO1f6Zs8ZYBfj2w3PuRKcBBoeHofhiG0cetGATKAMU+oY79SBQr+3aVZvqAyxiUFcoRFNfAQhDZ80VRuZUayqrnbRsjOm9KXjjLz4SiHBr+85//7HhvWRby8/OxatUq3HTTTcYm5qZ+/fp47rnnfMdYNquiRYsWjvcimjVrhiVLlhiZHwC5kudWiKKfq1p+SqFh2Q2v2QKAPIagABtLmCaEj0VNskmKoOzaJIt/Z0HGMCHRaKxMCh8HjCknGMqqCpGy8R/BofAyoauCUhRIIquVZR/BUE6yqRRKeeEsPxOJsiJYp04dR6VuUlIS2rZti+nTp2PgwIFGJ1ftiOVEyPomQW4dytzlyjkwQcnQEkWQ4vWiCEPp6iMyYRj9SVhZJFSj2BDJ0BRvKVe9MUw4ZN58+2fxCPvalUVTiqBO0+lorqKRvEe7lzOEERwqUiQ7b7s8tyvATKJQVgRnz54dh2n8QZCGPyk3hyzHjVBtRcq5o6ylKZqvxOtFCY/IFODyAAVOq32MZlsIu4eSkv/HoWGGiQ8UueYJoyooTfbtspxk316igu0qY9wyyy7rk5KAsjK5zHcXt4hkqPvZIfRyqvaOJcg+hwIsuMZBjhG3F5SpdJKCh1Swd+9e/O1vf0PTpk3RqFEjjBo1Ctu2bYvn3KohslYCMqEQpORJii88woeSgBxVdmyCwC5cpB5BxXwRx35kzZcDCmko3j7yygMGvAGyc3I/TBiG0Ucn0qHiNfT1aAUZg6qyzy6rAnIE7b/LlEUdT2hQfrRdhpLOiRJNEqTOSJ0e9v2w/EwkZEVwypQpmD17Nk477TSMHDkSCxcuxBVXXBHPuVU/pOsvim54S/2Gl1aHEYRCYA4M4YZ3CENCiJTkCbXP19acVeg1pPQQowhDySomMiVZek6S3EiGYdSRGWj2z/wMZV1jUNoQWdEIlqXFONqo2M5J1LMwlMyXeFQd87VNkaIskkLDAWlFslVO7PtkQzqhkEPDr7zyCp544olYA+jzzz8fffv2RVlZmV6F7R8RyrI7SsvQhVhGTbYfWcNUUzmCgfkiPt7SpOSK77vHiIQhtRLNCrD0SaHhgGayADjHhWFC4gn7qlYNy+RjkMdfVgxGUASllcWiaIg7F46SQy2Sfa4cam0FmCAfSZ5QxT6CsvxJJmGQPYJbtmxBv379Yu979uyJlJQU/PLLL3GZWLXEcXOU2LaL/vGp1qxuGJWQIyhVXOOgCAY1FwWc1qGKoLN/l2QVu3qRibbbhbRM0HkUSoZhtAndOuvgZ9KepCEMvXhWDbvHqKwLb/9MVRG0R65ICjDBI5gk2g9xHWYmYZAVwbKyMqSlpTm2paSk4MCBA5JvHIYoKUQgKoKCcINfK4GgELM07CvL7VNoDeM3xh72lSVMx0IJMiXZfd4By8c5BJ3snAhJ4NI+WbKwEMMwyrjTQ0gefxXZJzOCKdEQicFoj7AEyRKZgUsZoxoSt1fi+hqvQR5Bn+hNbAxFkeZlOqsy5NCwZVkYM2aMY43d/fv34/LLL0fNmjVj21555RWzM6xOUISLLDRsokWKYz8uwRFUQRYmNKwUHvGzim1eQ4fgFVnFtqaqpHUyKQowxWsoEYYsyBgmPJGkQ4qOsdSZgPzoMlnbF5lcU2w6bSfQIyhrpC3Ja3aMcRntgaFhipeTIB+VC0pEz0MwCYSsCF544YWebeeff77RyVR7KHkTQQqRu7cSKTQsaJiq2h4h6EYF5N4+h1VMKZKxJ0wr9NuSKnlh8v8IXs4yWeiDQ8MMY5Toeu3krgAK8lF3DXWjY3SL6Vz7oFyboGb60mXzQoTNRe1jPMcSnTdHVBIJWRF86qmn4jmPPwaknBJiKwGhVSzLgxMtHE4Jj8RbGEryRQKbThOaqsosXtIyS2Fyf2QPExZkDBOawOXYNFYfEUYFZNGbEEUTQelAvvs5eFy3khe4jrBPWozovI0tm6eqLEocDbFUKXYJJhKJ/5rRwqFYEXIiZF4khzCkJEyrhEgJN2ooy5liZcrybWxCQSQMpZ3zfcK1QcUiUi+nJGwuq7pmjyDDhCd6T7kVIlI/PYnBGL3HZfeuCU8eeYwsdUY1LSYgwkOqGjZUIBgmNGyPFDEJgxVBk6iEE2VKnuN31fYIiuFPUkNpwn4oOYIkq1glNEzIgaEIwyDvJEDrsciKIMOERyr7ZIVyAZ4xR46gvU+oXVYTPP4U+RhUCAKoh4aFueO2qIqsCI5UJGNKAQ7hRLDnzDMJgxVBk5AsvwAlzz7ekwsiEnT2MRJFhpLjFsqaNRVitp13UMI0JRnaHjYnWbOKY7hYhGHMIjOUdVukOHLlCIpMmDGkPGtKMZ1MFgtWrvKVfaIcatXQcJg+ggoyn+VnQmFF0CQkBSOgahhwhgmUiiZUhZhqCwVTgkOmmMrOOyA8EpH8G1O8hiYWk4/OmWGYcARGBRxLY0iUHYlHUNVbpRwxMWAoy0LD9n3KZL47P1q0aohjDGXFJEM51IGhYZafiYQVQZOo3BxBxSLCMZpWcag1gimCQzU8onltZGEhklUsEXSUJZQoOTBcLMIw4ZF5BEU5glLPmExOSIpFZIZpkq2WUqrkGZaPsrxH+9wcBq5sWUyCfFRW8mSpPgYcDawIJhRWBE2ilAdHCA1XdJ32jiEpOzLXvURwUPLgKCtskMYE5U+WiQWmux2BUjK0avsYu1Uc4MEEWJAxjAkc8lFlGTUfj2C5pkdQJcID0ORNYFsxSaGcYwwh3O0YQ5Dn0vxo2TlJVl6SLmEaEFVh+ZlQWBE0iqIrXFQV5zdGmgwdlBSsKsRULUhFqziwlYBfwrQtPBLUJ0vZOxlCuWVBxjDhIYWGBauPSJdIK4MwREpS8lS9Xoq5cjKZLw0N2+Wj6JzccwlaZ92+lF2IsC+pbU5QaJ2rhhMJK4ImUc0FCQwNy7rMm2qYSsmBUQyjSgWdxIKUnretAEZ0rHJJeMRU6EN1P9wQlWHCExEoeYBcedBNi6EoKY4cQUOrjwTm5VnB8kYWDVGuCFaUayTDXlUW2/7eTMJgRdAkql445RxBmVUctISSpA+e8nqbpppOKxSLRFz/otH5x6MQRHUZOvu1ZI8gwxiA0nDfXmka1DrLVMeEOMhHiuHuyFkU9FmlhGKNyUdKDrWq19Vm/DMJgxVBk1BuROmSbQLvmVu5kCUOC/NFKJVfEotXKhRkIQv7mID8FsClmNoSsh1VcYImsPb9kJpFSx4klGXzKMnkDsuZBRnDhMZxf8v6rAZUz5pSUpQ9bJIiD4rSKT2WLIdaNx1IMl9SjiDhuaAbleJiu4TCiqBJpJYo4YYPWnPX7RkTKk12pUoW9jW1agjBgiQ1aA44lue8g3ppUXJ2FNbA9IzhqmGGiRvSaIgsPSSoMpZy7xIMPeX2MYT5KPd9Fch8ZQU4Dn0EZaFhlaX1OEcwobAiaBLVvlMqBSUehcg2JnqTqd7Myhak6pqcgiWUAFon/+ixHLk2tjmH6p+oGPrgqmGGqRyEHkF3nrCmDAiTQ00ycFWVpiB5IzlvaY6grN2NqdAwIWKiOibJJd+ZhMCKoElI3jOV3kqShqmOMTZhqJpz4lBKS2zb47hqCCAXzqLkbJlH0JJ5AyRh3zDCm+JRZUWQYcLjkGuCti+A04sU1D6GooBIV8aIR0NphVQUP+NfWCinOF9jDaUJa7FL8x5tyiuTMFgRNAnFGyUTQHZFJZYw7bd6hr2NSlQRtIeGVcMalHWECT2lQvXkEnkEXecdvX7llBxBilKq6hGU/C25aphhwhO77+zLQxKMYGMeQYliJZMB0uXjDISPpfnRlEI5Q6FhyvJxlD61FJnPJIxq81fYsWMHRo8ejaysLGRlZWH06NHYuXOn73fGjBmDSCTiePXu3dsxpri4GH//+9+RnZ2NmjVr4owzzsBPP/2kN0mSsqPQtoAaGg7KFwm17BvFmpV4xihKZ5BwlnkDKH2yHMeRCO/Apt5QP2+GYfQQto/xUwQFUQGKt48Srk2iyL44yJIgI9hu/IfyYFLagYUJrSuGmJmEUW0UwVGjRmHNmjVYsGABFixYgDVr1mD06NGB3zv11FORn58fe7355puOzydMmID58+fjxRdfxEcffYTdu3dj6NChKCvT8PBQ/vEdlpRKaFiiCJKq0ChVcYQWKaH6RVGsVUp4JOoRNNUDK0xoWPIQYBhGj6A8OPt7mbIoS0MJE0Y1VixCiFLEZJ/bCA54LkQitueCof6opEJD1fxy+/OFQ8NVgWrxV1i/fj0WLFiA5cuXo1evXgCAxx57DHl5ediwYQPatm0r/W56ejpycnKEnxUWFuKJJ57As88+i5NPPhkA8Nxzz6FZs2Z49913MWjQILWJUloAqCT0WrbwiNsqjh5L2opF4rqXFTuEWllEJjhkDaUVFEpZWChMpZ+y5UwoFilnRZBhQiPM/1OMhkTfW+XBFbiAmXxuwGAeoSwaYm+14hM2d593KMWVImcpOeiyNYurjS/qD021+CssW7YMWVlZMSUQAHr37o2srCwsXbrU97uLFy9Go0aNcPTRR2Ps2LHYunVr7LNPP/0UpaWlGDhwYGxbkyZN0LFjR9/9FhcXo6ioyPECIA8VBnm9ANdNH9AmwP5eeqPamk6L1it2j5d6MG3KpfLqIwShKhPOou/Zx6s2TJUVi1iEghJKlTN7BBkmPKIcNo/ss8tHwapK9u9IDXL7eEu8XdVgpMgSlU4GsvOWzdf+XqVFl98Ykuwj7Ef2DOLQcJWgWiiCBQUFaNSokWd7o0aNUFBQIP3e4MGD8fzzz+P999/HnXfeiZUrV+LEE09EcXFxbL9paWmoV6+e43uNGzf23e/MmTNjuYpZWVlo1qxZxQfuGzeKqBE04FOpa7eKZYLu4BiZd002H9nNLB0jE4YhGpA6LEiJF1O2LTYfiWCh5P/JCmCkzaIVxzAMo4fIuPL1CMryCAVN+WUVrbLjU3qSymQfJc86UPZJlDzZfO3fMRbhsT2jgubr3i5rDUMZw1QqCVUEp06d6inmcL9WrVoFAIgIvEWWZQm3RxkxYgROO+00dOzYEaeffjreeustfPPNN3jjjTd85xW038mTJ6OwsDD22rJlS8UHsn9qaThRZvlRrEORxSuzICX7Vr2ZTS2zBEl/MIqgCxpjKq9HKsQk82WPIMOER0X2yYpFRO8BohGsqMiESp0JkMWyqmG/bUHPhVChYcKzQ6YAO+YoeR4yCSOhOYJXXnklRo4c6TumRYsW+Pzzz/Hrr796Pvvtt9/QuHFj8vFyc3PRvHlzbNy4EQCQk5ODkpIS7Nixw+EV3Lp1K/r06SPdT3p6OtLT0wWfSJRHh3BREHSAzbKT5MrZEYUJHOFRyEMfjn3LPJiqHkHJGNnxdceohrtl85WFcxzH4tAww8QNkdJE8QhKIweSfcsUEFVlUbUiWMXD5onwUAxlwSOdEg2R9mEkhIZlx5JeY/YIVjUSqghmZ2cjOzs7cFxeXh4KCwvxySefoGfPngCAFStWoLCw0Fdhc7N9+3Zs2bIFubm5AIDu3bsjNTUVCxcuxPDhwwEA+fn5+PLLL3H77bernxDlH194M/soeUFFE3ZUlaa4hEcULF7KOZEsfYo1G6LizQ6l2IZhGD0cxXQSRdCeQ+1XNOHZt6oiQ0j1keU+y/ZJadMl22YifKzaZ9WRj0gJDRu6xkylUi3+Cu3bt8epp56KsWPHYvny5Vi+fDnGjh2LoUOHOiqG27Vrh/nz5wMAdu/ejUmTJmHZsmX44YcfsHjxYpx++unIzs7GWWedBQDIysrCJZdcgmuuuQbvvfceVq9ejfPPPx+dOnWKVREroRtuCBMapu5HtC1UeCREr0HRPkTvRduE18+VXxkVWGUHvGPd42W9BmWpAewRZJj4IVqK0n0vigrG3J4w3dCwo2G8xE9CiS4EpsW49q/6XJCOEcgtWRSIlMYjORbFUJZVBEcI15ipVKrNX+H555/H+PHjYxW+Z5xxBu6//37HmA0bNqCwsBAAkJycjC+++ALPPPMMdu7cidzcXJxwwgmYO3cuateuHfvO3XffjZSUFAwfPhz79u3DSSedhNmzZyM5WcNlTUqODXLdQyxcKEKBJAwVXfekMZqKIMmD6bb0VQSmrFJNlidDeVBwH0GGiRuial5paFhSnCH6jntbmEIGh5ywbac0nZbuJ0CBk82HFBIXrFoFqMlqQL1YRPbsoHhmmUql2iiC9evXx3PPPec7xrIOPfgzMzPx9ttvB+43IyMD9913H+67777Qc1RWmmTbRBakTpggSPnSVVwBrxcuhkz5IrSGCSpuEb0XbUtKcebieOZiSNBxsQjDmEXXM0YxgoNaVbm/p+wZk7R1IRmVFHkuUhYJOYLS3Ge7rCbkR5OqrimhYXsOerVRQf7QsDpuEsrNoeoRVBkja0Aq+16YZF4ToQSdYhHTlcWy76meEyuCDBMebfmo6BEUfce9jSQfFcPH9m3KxXRxlH2kMapKnmaqD1PpsCJoEmlORMANbyz/T7H4Ii5WscIYVSEGBAtvIPhhIlUEUwljOEeQYeIGRdkRIeuz6refoDFhIiZBHQhUQ9mmxoTK/wvIaXRv131GMZUO/xVMIlSsNHrlCQWUpGGqHU94JCAca1+b0rGfAA8mYEZw6AhDkbJNUhYp81W1irlqmGGMousRjEcrqjB5cIFGsI7sIxjBurIvLmM0PZhMpcOKoElMufdJ+XSmwiMBVluY0LBo2TzHPuJ0TtqhYXuOoKLFyx5BhgmP0NCTVA07tilWDUv3YyqHOiDyEg/FFRBfP1Ntc1Tbx+hGeJhKhxVBk1B6BAa1PwH0Xeok4aKoNFGKRWSNtLWXjws5RjtPRlFgcrEIw5hF6BE0ZDCqdikg5cHppsWYyml0y74Aj6opw56kUBLC8+wRrBKwImgSY8qOridPp91AwH50Qx+e/ZiyeCnKtm6OoF1xVWz5wGsNM0x4KMa0yPB03/NGwqgUj2CqZIyk6XTsexoeTCPh7gjhvEPkjis3yWZFsCrAiqBJTFS0it4DQHJq8BiSUFAUhroWL0DwCGp4MLW9hrJ2N/ZjhakatrxjGYZRQztH0NCYoNCm+3u6HjbSfN2GPSVSlOiuCgFOBEoXCKbSYUXQJNorY1CEgmKzaFNjKDkwuhVkOpV+RtrHRCD2KhAEnaOghItFGMYouqkz8ZCPlDxh7RxBynw1luDUjZhQ1lkn5QiqdshgRbAqwIqgSUgtCwyEa2VjKIUpqn35KJ4xWagmKJeGJMTipCwGhsQVw92cI8gw4TFx71LHBMkkWeTALu9IHkFThXKmcqgFiqCJZtGRJHVFUBZxYioV/iuYRNtiI9yoyTo5JQZW6tC1eElezgQlTAPBVrpqeIQVQYYJj66hTGmdpVqpS8qnkymCin0EtdtrKSq3QIgcasX8P23vJFPZsCJoknhWvZoSdKrVarrFIpWZDK3VoidgzhSr2FE1zKFhhgmNCSNO9B1AXfYBwYqV1FAOSosx1O5G6/kSJPMJUSBto50gq5lKhxVBk8TTI2hMcCi2s9FOhlZc+xPQV5JJFi+lIXeYYhH2CDJMaEjpIQk2GJUjJvHsFKEjHwWVzmFWVZIdm9vHVBtYETSJtuJlSBHUqUSjtBII9Brqhn3jFRrW3E+YheJZEWSY8JCMOF15o1F8EdhVQXPlpbgV/xl4vkhlX0B7LVMeTKbSYUXQJNo3qltZFFls8VKsDOR6CAVLZc6F4hGkeAwIa2nKBHw5K4IME5q4dlXQUFQCZZ8scmBgrWGdMbrnpNoaRvvvRMhpZCod/iuYxFhok5IjaCq5mLKfgDm7exwC5jyYJGVRo5dW0LWRhTVkAp49ggwTHoqhTDKCDSkqQXJWu5jOVGGfTosZUTGiPTSs2WdVK/TOHsGqACuCJjF1c+gqVnFrNxAUHqEorhSlVDfkYypHMGDOfteFFUGGCY92Q2mdnGQDEQhZmDXQI1iZ8yVU6pLmo7hkqK7Tg6l0WBE0iciQiluxiKmFzA30PhSGsk1VOcchlA3oeVT9PueqYYYJj3bIUdHjLx2jKG9Iy8eJZJ/GfI1VDesY7hGXcqvruWWPYFWEFUGTaDdD1VEEKYLOQB9B2XxMhIa12jkYusbuvoyifQcpjxwaZhizUDyCldleS8cjSFoO1FSxiE6OoIbhbmz5UkLxJFPpsCJoEtIScxRBp1l8oZNzR2nXoNNLS8dS1e07pVMsIhKGQYqp33xZEWSY8AjlmuteFRmecTMqgxTBJHhCQe756so1Uzl3qjmCwu9UYrSJqXRYETQJJZk3nqFhY6EExeKLeIayTeWdJKe53lOs4oDraT8urzXMMOGhKCkkj5auh01HXrvGeFaBSnRaDCUXOyg/2pSsJjyjmEqHFUGTGMvhoChWmlXDWu0G4hQa1vJyanpd3cJZJ/zuF3pnjyDDhIcS9hXKGx2PVZwKNLQ8goYUQe3UI1WPoO76yYT5MpUO/xVMYqqQQSjoCHknldpHULVYxFR+i2YCMiW8FFgs4j6Ordk2K4IMEx6SR1C3b2m8Qq0BssWU4kpaR1i3ajgoLUagCOqEjylKKVPpsCJoElN5HkKrmKDAaYUbNIShuz0CqRchZS66ViYhnOMODYsU66CqN79rxYogw4RHdI9R0jpMLUMXaHhGguUNyYNpKJRNipjEIUeQMj/dZx1T6bAiaBLS2ooU4RPPKlwDVqYo/8+9LV5hGF3hEmSlh61GZkWQYcJDCg2nBY8hyUeK4UmRYwGKn3C+BuYimo+xBQs08im1QtmsCFYFqo0iuGPHDowePRpZWVnIysrC6NGjsXPnTt/vRCIR4euOO+6IjRkwYIDn85EjR+pNUuQuV823k42hhIaNrdQRlAxNEMRaoWxTgo6Q/+exgEMem4tFGCY8FCOOcn9rLx+nkRsXZCjrdCgQHltXnlNCwwGGsU5bH24oXW2oNgH6UaNG4aeffsKCBQsAAJdddhlGjx6N1157Tfqd/Px8x/u33noLl1xyCc4++2zH9rFjx2L69Omx95mZmfoTjSQ5vUOkG5Vw0xnzCBpYkoikCCYweZsSXvIIPspqJBwaZpi4QlFSSDl3uk2cg8KdFPltKEeQlEOtY0y7r3HEe22S0zWOrRPKrja+qD801UIRXL9+PRYsWIDly5ejV69eAIDHHnsMeXl52LBhA9q2bSv8Xk5OjuP9q6++ihNOOAGtWrVybK9Ro4ZnrDZJyUD5gUPvKd6qFMJNp2OZkhQrjZCoSLAFWe3GquIM5cCY8iBEt7EiyDDhERpxlPYxlVQsQgoNV2KOIMnLGZTDKJKXLsNZ5zkRiQCIALDkY9gjWCWoFur4smXLkJWVFVMCAaB3797IysrC0qVLSfv49ddf8cYbb+CSSy7xfPb8888jOzsbxxxzDCZNmoRdu3b57qu4uBhFRUWOV4ygAgjdZOjKXKkjMPnZkEdQK1Sjk+ANQo6g5hqnMY8gh4YZJjQUIy6e7ap0VtTwyD6CvIxbIYiGoSxSrLXko0bRIOcIVgmqhUewoKAAjRo18mxv1KgRCgoKSPt4+umnUbt2bfz5z392bD/vvPPQsmVL5OTk4Msvv8TkyZOxdu1aLFy4ULqvmTNnYtq0aeIPg5Qx0Y3q8QjqLgpuyioOUF4pHkEdS9qYVawRXgpdLGJ5P2MYRg1hs2NTK4sQQpk6BRBBfQSTUuDxjOlEJOLVlJ8SpdJerjTgWcLtY6oECfUITp06VVrQEX2tWrUKABAR/CNaliXcLuLJJ5/Eeeedh4yMDMf2sWPH4uSTT0bHjh0xcuRIvPzyy3j33Xfx2WefSfc1efJkFBYWxl5btmw59CHZXW5Dp3O++0YFiDklQR5LgqCjeARJ620ayv+jhLuDrjFlv35hFy4WYZjwCD2CAfm9ou/pKESm8pg9si8iaGhvKkdQcRUoINiDCQiuOaVYRFP5ZhJOQtXxK6+8MrBCt0WLFvj888/x66+/ej777bff0Lhx48DjfPjhh9iwYQPmzp0bOPbYY49FamoqNm7ciGOPPVY4Jj09HenpAkUMoCkl7jxCSmKue5tIEdTpNagl6ESKoIZHUKdyTrthaoCiqh0aPnhszhFkmPAIjThDK4voGMEkjyBRsSorte0nToVyQu9egFInzBEkREx0QtecI1glSagimJ2djezs7MBxeXl5KCwsxCeffIKePXsCAFasWIHCwkL06dMn8PtPPPEEunfvji5dugSO/eqrr1BaWorc3NzgExBBDSU4FEGC9eXxCGZ4x2gpX4QiFE9omLKEm4530lSxiMBCD1IWdZcH5GIRhjEHqbWJ5soigflqusYqQVFNTgOwR/4dbdlHkLPuZwVJcXWHhjXld6DjQdByjal0qsVfoH379jj11FMxduxYLF++HMuXL8fYsWMxdOhQR8Vwu3btMH/+fMd3i4qK8NJLL+HSSy/17Pe7777D9OnTsWrVKvzwww948803ce6556Jbt27o27ev3mRJVqbbu6dRLOK+UQG9ZGiSsqNTLEL5jk7Fm4YiaCoZ2u/YXCzCMOHRaQYPEBQ2wYogxrxyBHnjkY+GlFBKHqFHESTMN8iLKDq2bp4jK4IJp9r8BZ5//nl06tQJAwcOxMCBA9G5c2c8++yzjjEbNmxAYWGhY9uLL74Iy7Lwl7/8xbPPtLQ0vPfeexg0aBDatm2L8ePHY+DAgXj33XeRnKzpstYRLp7QMMUjSMgRpCRDxys07P5OqqA3Y9wWXicUt5AaXnMfQYapVET3IWmljgAPm6kVN4QpOZSISYBiRaka1o1aBBUjUnIETXksKc8XptKpNiU79evXx3PPPec7xhJUbl522WW47LLLhOObNWuGJUuWGJlfDEpINMhbFkkCgqrMKAJJS4kijBGGPgKES1JKhVCwe85ISqiBqmFtj6D7b+ljtbMiyDDhiS5XaU+dMREaNtVORmTQ6sgbU0Yw5XkT5Gggrc2uGxrW8HwylU618QhWG3Rc4W43fCQSbGUKe1NpFIJo5cBQPIKC9Yg9LQni5BEMquITbaPk1vgdu5wVQYYxgsfw1EmdMaTIeNJ4BLnZpBzBAHljLDQsaM8SZKRLcxrt39H0qOoU2zCVDiuCptEKDVNCHUECSbBMkI7FRqlY1mkoDXitaZ1VTkjWK6XKkOBlSKtBnx97BBnGDEGyRJTW4Ta4Ve5dvzGUFBdSTrJGaNiIESyS1RrzJV0/QqEhh4arJKwImkYnb0J0swaFLinL0pmy2HQaSgvbGLg9bBoVy6LrmVbTNcZ93pRQtkhxrRE8JqZIW9xUmmFMEKTMULz57ntXt9DCLW9IoWGRnAjISTbVOktrvrp9BDUMecoYptLhv4BpdIovhPl+ATersc7vBGVMyyMoEBwej6ABixfwKoKmPILu+QYJMW4qzTDhCez5mQzYm/KL7kuKEaejjAlDwwRDOagKN1W3HZhbPgaE1UXHFhW3eOZLUUI18zDZI5hwWBE0jZaHjVD4oVNpTLHYPKGPGsFjdELZQHCOICUsrSP0dZbEo+wXcP59OTzMMOGhtGOx379CI04jNExRFindD4TtYwK8mGm1APeKUyaWDKXkNJqqGjYVcWIqHVYETaOTHBvksUpK8VpfySnO/ZDWDCbczOm1BWNMhYbdHjadqmbXOaVkCJRmQhUfySPofpgEhI5YEWSY8Njv50iy18sFuBRBUZTAbcTpVg27C/sEipWnvQ1FsRJEYoJSXHSUWVK0SbNYhJTnqBFxYiodVgRNo5PXEeRhk90o9u/phA0A740qUgRN9BEEvOEPrSWU3Ja0S3gCmoorobglSBBzU2mGCY/9XhQpVYBTBplI6xC9d89FtF/RvnVzktNrqc8vSFkUrkClUYAnun4ZdYLH6CywwFQ6rAiaxv2PnlnPO4bSEzAo9OH+nqkl3NLreMeQPGwBXjmAUCyiUTknUgRNtY/x5B4GhK7ZI8gw4bHLDpHRCbi8hgK5kRrgXRNtoxT2kaqGKcUXInlTy38MJQ+c4hGkRG8oxSIZdf2PLZofZZ1optJhRdA0bsFRo753DOUGd4dHRCgrgn5VrwcRKYLxqhrWaR/jEcyEnEZKaFiYI6jqEWRFkGFCY7/PRPeue7tQkUkNjqrotDZxp7eIxlD68olkiVv2Ujx3QTI0Xn0PASCzruvYhLBvjWzvGK4aTjj8FzCNxyMoUATtN6vsJqA02bTf5ELB4grzUqxit7sfIFai6YRaDbRQEHoEKYJOp8o5IPTBVcMMEx7l0LDkvrTfv9p98NzFIprFF5QxnhxBA1XD7upf0X6FRru7sE9wbLdHkHKNazb0jmGPYMJhRdA07n/8Gg28Y+z/+LKbgKIIysImUbKayY8bhZQjSFhZhKJYBfU+JLXAMZQjSFJcKb3IbN/7fZP3c4Zh1KBEQ+z3tGyM/f717QEa3Q8hf00YgTC0Uodb9gblUCelCIx9DQ+mbijb7RGkPF9qiRRBXlkk0bAiaBpPqDWgClcmxByKiqRRsV2xsq/NGaVGfafgonjcdEPDlKaqnqphgSIYZImS2t1QFFedquEAi/yD24GiX7xjGIah4+iGIDAO3WNkiPL57JBCr4SqYdV2N6LvAIRiEdd36rUIDuFq5wgSxrjz37WfL6yGJBr+C5jGreQJ8yZsl10m0GQhETtBimAkAmQdcej9gWLBmHhVDYsUq4AcQQA44jj/+XmWkiIUiwhDNRoeQaH31qWkL3uAVxhhmDDYFQNp6oz9XtQ0lD3RG1H+GqFYxLMOvKZHMC0glcf9vkFr7z48HkGBIkjK+aZUDdf1n1/FxkO/pteWPA/ZI5hoWBE0TVnpod/drvMopnIEkwMEHQDUPfLQ77vyBXPR6SOo6WELqhoGgNYn+8/PjTA07G7PI/JgEgpp3AJeuLydzYpPrQH0+bvci8EwTDD2oivZ/U8p0rLLG4oR3PHP3jGUlUUojfEpxRduj2BQfnT20d59kFZCofQRJCxh6iluEYwp2XXod1GalOx7TKXCqrhp9u889LvbYopiF1wyhc8h6AgWr10BtVOnqXh77Pga7WMoLQCEK4u4FUGBkG/YLvhYdkShYTdBuZQATfEWCcNWJwAFX1Qo3D0vExfbMAxDh6II2j1NFPkoUgSz21SMKS8D/jQRqNNEcBhK+xidBs2iYhHFPoK6HkHS2sgEeU7Jsdz7+6HfZYqgqL8tU6mwImgahyKYJR5jry6V3gQEr5L9hpZVrIqEm+Mw7opgURiV0guK0F0/aK1hoMKbdsKNFSHWJt2CFSu38BQha0HhGEOwSkWCLrs1cMa9wd9lGIaGQ7GTyEFlj+B+7+e1GgFn3FchO0VtvtzHASRKk0Y7FlKOYEBaTK1G3n2IVl5y45a7wuVJ3cvdEZQ10Z9q7/ZDv0uvMXsEEw0rgqbZt/PQ77LQsH0FijD5Efbvyla1sIeGRXcq5SakrI1MEXRBaw1Hye0M/PmR4HkB3qWkRFDyLUl/Bw75MkzcMRYatkdMSsRjZMZ6FIqBaConOShHEAByOlVEINoOkXRZcCuCAlntJijqAtDkY8le/8+lHkFWBBMNK4KmsefqiVYVcY8JYw1RbuAa9YF2Q4EflwI9L9U7DimUoLHWsAkBYCw0TJhLuST8zjCMORyKoMwjaN8uCQ1TcqiD0FEERXOmhIaD2scAQP/rgcItLgPfB5FH0A1FyaM8p4qLxN+LOilq5+rvm4krHJw3zRE9Dv3eqL14TDnBI0gRdFRv4rGjgbMeApp2935WGmDFATRBR7GK3VXDJgSAqdAwZS6iPCOGYcxiDw1LPYL2HEFCaFgXSmsTUmGfO2IikKGUJs7JKUD9lnQjOp750YBzziV7vJ/3m1ghW+se6e0IEbRvptJgj6Bpul9UIcjqHlnhxhdht05NhYZ1Ed28OsehVMVRKtFUqczQMCuCDBN/lEPDhGIR7bkQWkFRjEhK9MatHJroPhDUSxEgKoKSMX3GAx/cUfF7u9O8nx/RAzjr4QqDXZZnyH0EEw4rgqapmQ30v9Z/jKNqmHATyIQRRbgEYfcSdvmLeAzJKiZYvJR2LKrEPTQcQcwjW8aKIMPEH7tHUKYMUaqGDXgEZd0Y7JhYBSpemPIIyvKjm3YH+l9XoXDae9baCSr44z6CCYf/AomA5BFUrBrWJbMucMotFT0Gm/eRHIeSJ6MxFxMWL2UflNCwn1chWnHIHkGGiT/GikUMKF8U448iH6mK4HGXAp89DbQZRBsfBEUZpjgUZMWIkQjQ9Fi1OXn2wR7BRMOKYCJwCLoQXjFTllTDoyteYY5DCb+60VUEjxsLrJ0DdDiDNp7kOZUogu1PB754qeJ3WY4LwzDmICmChBzB3K6Hfu94tt5cDkiqje3opM7IaHNKRW9SHXkqwlSxiKw9mQnYI5hw+C+QCKpSjiAFndBwPGlzMtD6JLoiSbJ4ZYrgGRV/r9RMcbENwzBmUfUIyoy4zLrAKdOBnVuAlv305tL0WGDlwd87DxePIUVMFOSjKSUQoKUeUZ4jMmXbBFwsknCqjU/2n//8J/r06YMaNWqgbt26pO9YloWpU6eiSZMmyMzMxIABA/DVV185xhQXF+Pvf/87srOzUbNmTZxxxhn46aef4nAGNhxVwyFuAnufQhP5gmGgKqV9J1Q0Qu02OtzxVLyJFK+rLPSRkgZ0GQl0GMZLxzFMZUBpKA2CRxAAGratMBx1C0dq1AdOngb0+muFUSiciqFiEVOo5iOSPIKa7XcocPuYhFNtFMGSkhKce+65uOKKK8jfuf3223HXXXfh/vvvx8qVK5GTk4NTTjkFu3YdWv9wwoQJmD9/Pl588UV89NFH2L17N4YOHYqysji6wuu3PPQ7qR+UxOLN7QrkdK6oyDrhHyZmJjk8wRqkCrrmeRXd/NsPDTcnFSgeTUp1IMMw8cdU1bApGrUDjjoxnDJXmV6vgbdUhJhPuYU2nrSqUhyNYF5iLuFUm9DwtGnTAACzZ88mjbcsC7NmzcKNN96IP/+5YjHxp59+Go0bN8YLL7yAv/71rygsLMQTTzyBZ599FieffDIA4LnnnkOzZs3w7rvvYtAgQwm7bo69ECj6pcJy63CmeAzlxotEgBNvrPAwxlPQ2NcfrpEtn0tVhZSMzIogw1QJTBWLVBpVTHbUa1FRdEJGIrv7TgA+nlUh/5v1Dj8vGbWbVCwnivnxOwbjyx9WFd+0aRMKCgowcODA2Lb09HT0798fS5cuBQB8+umnKC0tdYxp0qQJOnbsGBsjori4GEVFRY6XEjXqA4NvBwb909tkOTbGthxPnab++4u3tZleC+h9BXBkb+CEG+J7LFNEk8Nr51a09BFx9KmHfm90TPznxDBMML1tUZ8uI8Vj2pxy6PdjL4jvfIKwrwji186q66gKparX5fGfkwqynMTmecCQfwOnzzJTgS2jeR7wp6vit38mkGrjEVSloKAAANC4cWPH9saNG+PHH3+MjUlLS0O9evU8Y6LfFzFz5syYh1KbIA9a+zOAHz4CSvcBeX8LdywTtBpQ8fKjxyXANwvkSdWVScdzgEYdgHrN5de6y8gKpbzukUCthpU7P4ZhxDTqAJw0pSKvr24z8ZgGR1X0ay3eBbTQLAQxRXptoMfFwE+rgG7nycd1GFYh16tC9KTfNcCyB4BmveRLoQLy68/8oUioIjh16tRAhWrlypXo0aOH7xg/Iq6bzrIszzY3QWMmT56MiRMnxt4XFRWhWTPDN0xqBnD6PRVhX5NVZPHk6IEVr6pAUhKQ09F/TGpmhXBmGKbqEIkAjTsEj6tKVfxHD6p4BVEVlEAAaNaz4vpxxS6DBCuCV155JUaOlLj+D9KiRQutfefk5ACo8Prl5h5a7Hrr1q0xL2FOTg5KSkqwY8cOh1dw69at6NNH0lwZFSHm9HQDyxcFEYlUHyWQYRiGqT6wEsgcJKFaRnZ2NrKzJflbIWnZsiVycnKwcOFCdOvWDUBF5fGSJUtw2223AQC6d++O1NRULFy4EMOHV4Qz8/Pz8eWXX+L222+Py7wYhmEYhmGqCtXG3bR582b8/vvv2Lx5M8rKyrBmzRoAQOvWrVGrVi0AQLt27TBz5kycddZZiEQimDBhAmbMmIE2bdqgTZs2mDFjBmrUqIFRo0YBALKysnDJJZfgmmuuQYMGDVC/fn1MmjQJnTp1ilURMwzDMAzD/FGpNorgzTffjKeffjr2PurlW7RoEQYMGAAA2LBhAwoLC2Njrr32Wuzbtw/jxo3Djh070KtXL7zzzjuoXftQldfdd9+NlJQUDB8+HPv27cNJJ52E2bNnIzmZ3eYMwzAMw/yxiVgWd9INS1FREbKyslBYWIg6deoEf4FhGIZhGAD8DE00f9g+ggzDMAzDMIw/rAgyDMMwDMMcprAiyDAMwzAMc5jCiiDDMAzDMMxhCiuCDMMwDMMwhymsCDIMwzAMwxymVJs+glWZaAeeoqKiBM+EYRiGYaoX0Wcnd7NLDKwIGmD79u0AgGbNmiV4JgzDMAxTPdm+fTuysrISPY3DDlYEDVC/fn0AFcvg8T8xjaKiIjRr1gxbtmzhBqIK8HVTh6+ZHnzd1OFrpkdhYSGOPPLI2LOUqVxYETRAUlJFqmVWVhbf/IrUqVOHr5kGfN3U4WumB183dfia6RF9ljKVC191hmEYhmGYwxRWBBmGYRiGYQ5TWBE0QHp6OqZMmYL09PRET6XawNdMD75u6vA104Ovmzp8zfTg65ZYIhbXazMMwzAMwxyWsEeQYRiGYRjmMIUVQYZhGIZhmMMUVgQZhmEYhmEOU1gRZBiGYRiGOUxhRRDAgw8+iJYtWyIjIwPdu3fHhx9+6Dt+yZIl6N69OzIyMtCqVSs8/PDDnjHz5s1Dhw4dkJ6ejg4dOmD+/Pmhj1uVSMQ1mzp1KiKRiOOVk5Nj9Lzijenr9tVXX+Hss89GixYtEIlEMGvWLCPHrUok4prx/5r3uj322GPo168f6tWrh3r16uHkk0/GJ598Evq4VYlEXDP+X/Net1deeQU9evRA3bp1UbNmTXTt2hXPPvts6OMyEqzDnBdffNFKTU21HnvsMWvdunXWVVddZdWsWdP68ccfheO///57q0aNGtZVV11lrVu3znrssces1NRU6+WXX46NWbp0qZWcnGzNmDHDWr9+vTVjxgwrJSXFWr58ufZxqxKJumZTpkyxjjnmGCs/Pz/22rp1a9zP1xTxuG6ffPKJNWnSJGvOnDlWTk6Odffdd4c+blUiUdeM/9e8123UqFHWAw88YK1evdpav369ddFFF1lZWVnWTz/9pH3cqkSirhn/r3mv26JFi6xXXnnFWrdunfXtt99as2bNspKTk60FCxZoH5eRc9grgj179rQuv/xyx7Z27dpZ119/vXD8tddea7Vr186x7a9//avVu3fv2Pvhw4dbp556qmPMoEGDrJEjR2oftyqRqGs2ZcoUq0uXLiFnnzjicd3sNG/eXKjU8P+a+jXj/zX/62ZZlnXgwAGrdu3a1tNPP6193KpEoq4Z/68FXzfLsqxu3bpZ//jHP7SPy8g5rEPDJSUl+PTTTzFw4EDH9oEDB2Lp0qXC7yxbtswzftCgQVi1ahVKS0t9x0T3qXPcqkKirlmUjRs3okmTJmjZsiVGjhyJ77//PuwpVQrxum7xOG5VIVHXLAr/r/lft71796K0tBT169fXPm5VIVHXLAr/r8mvm2VZeO+997BhwwYcf/zx2sdl5BzWiuC2bdtQVlaGxo0bO7Y3btwYBQUFwu8UFBQIxx84cADbtm3zHRPdp85xqwqJumYA0KtXLzzzzDN4++238dhjj6GgoAB9+vTB9u3bTZxaXInXdYvHcasKibpmAP+vRcf7Xbfrr78eTZs2xcknn6x93KpCoq4ZwP9r0fHu61ZYWIhatWohLS0Np512Gu677z6ccsop2sdl5KQkegJVgUgk4nhvWZZnW9B493bKPlWPW5VIxDUbPHhw7PdOnTohLy8PRx11FJ5++mlMnDhR/SQSQDyuWzyOW5VIxDXj/zX/63b77bdjzpw5WLx4MTIyMkIdtyqRiGvG/2vi61a7dm2sWbMGu3fvxnvvvYeJEyeiVatWGDBggPZxGTGHtSKYnZ2N5ORkjwWxdetWj6URJScnRzg+JSUFDRo08B0T3afOcasKibpmImrWrIlOnTph48aNOqdSqcTrusXjuFWFRF0zEfy/doh///vfmDFjBt5991107tw51HGrCom6ZiL4f62CpKQktG7dGgDQtWtXrF+/HjNnzsSAAQOq9f9aVeSwDg2npaWhe/fuWLhwoWP7woUL0adPH+F38vLyPOPfeecd9OjRA6mpqb5jovvUOW5VIVHXTERxcTHWr1+P3NxcnVOpVOJ13eJx3KpCoq6ZCP5fq+COO+7ALbfcggULFqBHjx6hj1tVSNQ1E8H/a2Isy0JxcbH2cRkfKrMypSoSLUF/4oknrHXr1lkTJkywatasaf3www+WZVnW9ddfb40ePTo2Plr6fvXVV1vr1q2znnjiCU/p+8cff2wlJydb//rXv6z169db//rXv6TtY2THrcok6ppdc8011uLFi63vv//eWr58uTV06FCrdu3a1eKaWVZ8rltxcbG1evVqa/Xq1VZubq41adIka/Xq1dbGjRvJx63KJOqa8f+a97rddtttVlpamvXyyy87Wp3s2rWLfNyqTKKuGf+vea/bjBkzrHfeecf67rvvrPXr11t33nmnlZKSYj322GPk4zJ0DntF0LIs64EHHrCaN29upaWlWccee6y1ZMmS2GcXXnih1b9/f8f4xYsXW926dbPS0tKsFi1aWA899JBnny+99JLVtm1bKzU11WrXrp01b948peNWdRJxzUaMGGHl5uZaqampVpMmTaw///nP1ldffRWX84sXpq/bpk2bLACel3s//L92CMo14/8173Vr3ry58LpNmTKFfNyqTiKuGf+vea/bjTfeaLVu3drKyMiw6tWrZ+Xl5Vkvvvii0nEZOhHLOpilyTAMwzAMwxxWHNY5ggzDMAzDMIczrAgyDMMwDMMcprAiyDAMwzAMc5jCiiDDMAzDMMxhCiuCDMMwDMMwhymsCDIMwzAMwxymsCLIMAzDMAxzmMKKIMMwDMMwzGEKK4IMw1R7pk6diq5duyZ6GgzDMNUOXlmEYZgqTSQS8f38wgsvxP3334/i4mI0aNCgkmbFMAzzx4AVQYZhqjQFBQWx3+fOnYubb74ZGzZsiG3LzMxEVlZWIqbGMAxT7eHQMMMwVZqcnJzYKysrC5FIxLPNHRoeM2YMzjzzTMyYMQONGzdG3bp1MW3aNBw4cAD/93//h/r16+OII47Ak08+6TjWzz//jBEjRqBevXpo0KABhg0bhh9++KFyT5hhGKYSYUWQYZg/JO+//z5++eUXfPDBB7jrrrswdepUDB06FPXq1cOKFStw+eWX4/LLL8eWLVsAAHv37sUJJ5yAWrVq4YMPPsBHH32EWrVq4dRTT0VJSUmCz4ZhGCY+sCLIMMwfkvr16+Pee+9F27ZtcfHFF6Nt27bYu3cvbrjhBrRp0waTJ09GWloaPv74YwDAiy++iKSkJDz++OPo1KkT2rdvj6eeegqbN2/G4sWLE3syDMMwcSIl0RNgGIaJB8cccwySkg7Zuo0bN0bHjh1j75OTk9GgQQNs3boVAPDpp5/i22+/Re3atR372b9/P7777rvKmTTDMEwlw4ogwzB/SFJTUx3vI5GIcFt5eTkAoLy8HN27d8fzzz/v2VfDhg3jN1GGYZgEwoogwzAMgGOPPRZz585Fo0aNUKdOnURPh2EYplLgHEGGYRgA5513HrKzszFs2DB8+OGH2LRpE5YsWYKrrroKP/30U6KnxzAMExdYEWQYhgFQo0YNfPDBBzjyyCPx5z//Ge3bt8fFF1+Mffv2sYeQYZg/LNxQmmEYhmEY5jCFPYIMwzAMwzCHKawIMgzDMAzDHKawIsgwDMMwDHOYwoogwzAMwzDMYQorggzDMAzDMIcprAgyDMMwDMMcprAiyDAMwzAMc5jCiiDDMAzDMMxhCiuCDMMwDMMwhymsCDIMwzAMwxymsCLIMAzDMAxzmPL/R3c9CgO8GH0AAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# NV center system same as before with standard observables\n", "qsys_2 = NV(\n", " N=15,\n", " B0 = 40,\n", " units_B0='mT'\n", ")\n", "\n", "# Rabi frequency in MHz\n", "w1 = 30 \n", "\n", "ramsey_sim = Ramsey(\n", " # free evolution time in us\n", " free_duration = np.linspace(1/2/w1, 3, 500), \n", " system = qsys_2,\n", " pi_pulse_duration = 1/2/w1,\n", " H1 = w1*qsys_2.MW_H1,\n", " pulse_params = {'f_pulse': qsys_2.MW_freqs[0]}\n", ")\n", "\n", "ramsey_sim.plot_pulses(tau=.03)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ramsey_sim.run()\n", "Analysis(ramsey_sim).plot_results()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We could fit the results again with a period oscillation, but to illustrate a different method we will use the FFT from quaccatoo. First, the FFT is run with `run_FFT` method, then the peaks are found with `get_peaks_FFT`." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ramsey_analysis = Analysis(ramsey_sim)\n", "\n", "ramsey_analysis.run_FFT()\n", "ramsey_analysis.get_peaks_FFT()\n", "ramsey_analysis.plot_FFT(freq_lim=[0,5])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The frequencies are too spaced in the FFT due to the short range of $\\tau$, but we can see the main peak corresponds to approximately half of the hyperfine splitting of the nuclear spin $a_{||}/2=1.515$ MHz, as expected." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 4. Pulsed Optically Detected Magnetic Resonance (pODMR)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To further study the energy levels of the system, we simulate a pODMR experiment. A pODMR experiment is simply composed by a pulse of varying frequency, thus when it corresponds to a resonance, a change in the observable is expected." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "podmr_sim_1 = PMR(\n", " # frequencies to scan in MHz\n", " frequencies = np.arange(1400, 4300, 10), \n", " system = qsys_2,\n", " pulse_duration = 1/2/w1,\n", " H1 = w1*qsys_2.MW_H1\n", ")\n", "\n", "podmr_sim_1.run()\n", "Analysis(podmr_sim_1).plot_results()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Two resonances can be observed, corresponding to the two electronic spin transitions and with a splitting given by the Zeeman interaction with the external magnetic field. To see the nuclear spin splitting, we need to reduce the Rabi frequency to have a better spectral resolution." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "w1 = 0.3\n", "\n", "podmr_sim_2 = PMR(\n", " frequencies = np.arange(1745, 1753, 0.05),\n", " system = qsys_2,\n", " pulse_duration = 1/2/w1,\n", " H1 = w1*qsys_2.MW_H1,\n", ")\n", "\n", "podmr_sim_2.run()\n", "Analysis(podmr_sim_2).plot_results()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The two resonances now correspond to the two nuclear spin transitions. To get the splitting, we can fit them with Lorentzian Functions." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Fit Result

Model: Model(fit_two_lorentz_sym)

Fit Statistics
fitting methodleastsq
# function evals24
# data points160
# variables5
chi-square 0.11917557
reduced chi-square 7.6887e-04
Akaike info crit.-1142.37301
Bayesian info crit.-1126.99714
R-squared 0.95699504
Parameters
namevaluestandard errorrelative errorinitial valueminmaxvary
A 0.53978264 0.01113652(2.06%)0.5 -inf infTrue
gamma 0.19906076 0.00681328(3.42%)0.2 -inf infTrue
f_mean 1749.00957 0.00410519(0.00%)1749 -inf infTrue
f_delta 3.02851436 0.00817499(0.27%)3 -inf infTrue
C 1.00473395 0.00311813(0.31%)1 -inf infTrue
Correlations (unreported values are < 0.100)
Parameter1Parameter 2Correlation
Agamma-0.5631
gammaC+0.5552
" ], "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "podmr_analysis_1 = Analysis(podmr_sim_2)\n", "\n", "podmr_analysis_1.run_fit(\n", " fit_model = Model(fit_two_lorentz_sym),\n", " # initial guess for the fit parameters\n", " guess = {'A': 0.5, 'gamma': 0.2, 'f_mean':1749, 'f_delta':3,'C':1}, \n", " )\n", "\n", "podmr_analysis_1.plot_fit(xlabel='Frequency')\n", "podmr_analysis_1.fit_params" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the fit we can extract the parallel component of the hyperfine splitting $a_{||}=3.03$ MHz. However, the commonly used Lorentzian function does not completely describes all features of the resonace. A better fit is provided with a sinc function." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/html": [ "

Fit Result

Model: Model(fit_two_sinc2_sym)

Fit Statistics
fitting methodleastsq
# function evals37
# data points160
# variables5
chi-square 1.1555e-04
reduced chi-square 7.4547e-07
Akaike info crit.-2252.56039
Bayesian info crit.-2237.18453
R-squared 0.99995830
Parameters
namevaluestandard errorrelative errorinitial valueminmaxvary
A 0.49679723 2.6772e-04(0.05%)0.5 -inf infTrue
gamma 0.30066635 1.1429e-04(0.04%)0.4 -inf infTrue
f_mean 1749.00882 1.2186e-04(0.00%)1749 -inf infTrue
f_delta 3.02839469 2.4162e-04(0.01%)3 -inf infTrue
C 0.99916892 8.0602e-05(0.01%)1 -inf infTrue
Correlations (unreported values are < 0.100)
Parameter1Parameter 2Correlation
AC+0.4124
Agamma-0.2688
gammaC+0.2126
" ], "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "podmr_analysis_2 = Analysis(podmr_sim_2)\n", "\n", "podmr_analysis_2.run_fit(\n", " fit_model = Model(fit_two_sinc2_sym),\n", " guess = {'A': 0.5, 'gamma': 0.4, 'f_mean':1749, 'f_delta':3,'C':1},\n", " )\n", "\n", "podmr_analysis_2.plot_fit(xlabel='Frequency')\n", "podmr_analysis_2.fit_params" ] } ], "metadata": { "kernelspec": { "display_name": "quaccatoo-env", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.3" } }, "nbformat": 4, "nbformat_minor": 2 }