{ "cells": [ { "cell_type": "markdown", "id": "0b894b1b-ea24-4039-9aea-b034f01c8da2", "metadata": {}, "source": [ "# Surface tension calculations using DFT for Helium-Para-Hydrogen mixtures\n", "Classical density functional theory for interfacial properties of hydrogen, helium, deuterium, neon and their mixtures ([doi:10.1063/5.0137226](https://doi.org/10.1063/5.0137226))" ] }, { "cell_type": "code", "execution_count": 1, "id": "b1e9c899-f524-4913-bed5-cf01cfb7ad35", "metadata": {}, "outputs": [], "source": [ "from feos import *\n", "from feos.si import *\n", "from feos.dft import *\n", "from feos.saftvrqmie import *\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "from scipy.optimize import fsolve\n", "import seaborn as sns\n", "import tqdm\n", "import json\n", "\n", "sns.set_context('talk')\n", "sns.set_palette('Dark2')\n", "sns.set_style('ticks')" ] }, { "cell_type": "markdown", "id": "da9d36a9-3fee-4297-acf4-793c1f36d713", "metadata": {}, "source": [ "# Set up FEOS functional" ] }, { "cell_type": "code", "execution_count": 2, "id": "3324bf33-e087-4e87-91e9-9db68a0f13b3", "metadata": {}, "outputs": [], "source": [ "parameters = SaftVRQMieParameters.from_json([\"helium\", \"para-hydrogen\"], \n", " \"../../parameters/saftvrqmie/hammer2023.json\",\n", " binary_path=\"../../parameters/saftvrqmie/aasen2020_binary.json\")\n", "eos = HelmholtzEnergyFunctional.saftvrqmie(parameters)" ] }, { "cell_type": "markdown", "id": "c92b4400-5ba6-4cec-804c-a8b3c78cee2f", "metadata": {}, "source": [ "## Critcal temperature estimate" ] }, { "cell_type": "code", "execution_count": 3, "id": "9dd67350-beaa-44d9-bf0f-aaa08ccc88e3", "metadata": {}, "outputs": [], "source": [ "cp = State.critical_point(eos, np.array([0.5, 0.5]) * MOL, initial_temperature=35*KELVIN)" ] }, { "cell_type": "markdown", "id": "e2e9392c-96a6-40ff-a78c-e5c0efa724a2", "metadata": {}, "source": [ "# Utility functions" ] }, { "cell_type": "code", "execution_count": 4, "id": "f68a0bd7-5caa-418b-8dd7-6e62a84259f7", "metadata": {}, "outputs": [], "source": [ "def density_error(x_he, T, eos, rho_he_spec):\n", " \"\"\"Evaluate relative error in partial density for helium\"\"\"\n", " x = np.array([x_he[0]/1000, 1-x_he[0]/1000])\n", " vle_guess = PhaseEquilibrium.bubble_point(eos, T * KELVIN, x)\n", " rho_he = vle_guess.vapor.partial_density[0] / MOL * METER**3\n", " error = (rho_he_spec - rho_he)/rho_he_spec\n", " return error\n", "\n", "def surftens_mulero2012(param, tr):\n", " \"\"\"\n", " Calculate pure fluid surface tension A(1-tr)**(B+C*tr+D*tr**2)\n", " Args:\n", " param (np.ndarray): \n", " tr (np.ndarray): Reduced temperature\n", " Returns:\n", " sigma (np.ndarray): Surface tension (mN/m)\n", " \"\"\"\n", " A = param[0]\n", " exponent = np.zeros_like(tr)\n", " exponent[:] = param[1]\n", " for i in range(2,len(param)):\n", " exponent += param[i]*tr**(i-1)\n", " sigma = A*(1-tr)**exponent\n", " return sigma * NEWTON / METER / (MILLI * NEWTON/ METER)" ] }, { "cell_type": "markdown", "id": "8fcb7e84-6750-4a3c-860f-eb29e0fbf5e9", "metadata": {}, "source": [ "# Load experimental data and set some constants\n", "Paine and Seidel.\n", "*Surface energy of liquid hydrogen with adsorbed helium.*\n", "Phys. Rev. B, 1992." ] }, { "cell_type": "code", "execution_count": 5, "id": "d2def2b2-5ed8-4c6f-aee0-7a8d1b9be033", "metadata": {}, "outputs": [], "source": [ "data = np.loadtxt(\"./data/hydrogen_helium_exp_data.dat\", skiprows=1)\n", "mw_he = 4.002602 # g/mol\n", "Temperatures = np.unique(data[:, 0])\n", "tc_hydrogen = 32.938" ] }, { "cell_type": "markdown", "id": "20a21ba7-3bcc-4e1c-b3c0-a4873c8cdb57", "metadata": {}, "source": [ "# Polynomial $x_\\rm{He}(\\rho_\\rm{He}) \\times 1000$ along Pxy curve" ] }, { "cell_type": "code", "execution_count": 6, "id": "4a6c7463-168a-44d8-868a-f1ba30769203", "metadata": {}, "outputs": [], "source": [ "polynomialfit = {}\n", "polynomialfit[\"15\"] = np.poly1d([3.70595985e-13,-2.52616512e-08,1.15152761e-03, 1.49408651e-02])\n", "polynomialfit[\"17\"] = np.poly1d([4.70776561e-13, -3.14841235e-08, 1.71167557e-03, 1.40996915e-02])\n", "polynomialfit[\"19\"] = np.poly1d([5.62549441e-13, -3.60963365e-08, 2.41768533e-03, 1.25644080e-02])\n", "polynomialfit[\"21\"] = np.poly1d([6.20734538e-13, -3.70971572e-08, 3.30504009e-03, 1.23204963e-02])" ] }, { "cell_type": "markdown", "id": "e646e23f-e040-4efd-8e18-f59da758485a", "metadata": {}, "source": [ "# Find helium vapor composition, $x_{\\rm{max}}$, given $\\rho_{\\rm{He}} (x_{\\rm{max}})$ = $\\rho_{\\rm{max}}$" ] }, { "cell_type": "code", "execution_count": 7, "id": "42b237ea-1fa6-40b7-bdab-93acfc714841", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 4/4 [00:04<00:00, 1.01s/it]\n" ] } ], "source": [ "rho_max = 10000.0\n", "x_max = []\n", "x_he_fun_of_rho = {}\n", "for T in tqdm.tqdm(Temperatures):\n", " x0 = polynomialfit[str(int(T))](rho_max)\n", " # Solve for rho_he(x) = rho_max\n", " x = fsolve(density_error, x0, args=(T, eos, rho_max))\n", " x_max.append(x[0]/1000)" ] }, { "cell_type": "markdown", "id": "ccf17cf7-0231-48b7-9547-6aceb65d8ba8", "metadata": {}, "source": [ "# Map isotherms to $x_{\\rm{he}}=x_{\\rm{max}}$" ] }, { "cell_type": "code", "execution_count": 8, "id": "3896cf04-ccf6-470a-9a0c-299f7267b02c", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 4/4 [00:11<00:00, 2.94s/it]\n" ] } ], "source": [ "states = []\n", "for i, T in enumerate(tqdm.tqdm(Temperatures)):\n", " xa = np.linspace(1.0e-8, x_max[i], 20)\n", " T_states = []\n", " for x in xa:\n", " x_sol = np.array([x, 1-x])\n", " state = PhaseEquilibrium.bubble_point(eos, T * KELVIN, x_sol)\n", " T_states.append(state)\n", " states.append(T_states)" ] }, { "cell_type": "markdown", "id": "9b2d8dca-4a8e-4d7f-85cc-b1e61cc9b181", "metadata": {}, "source": [ "# Calculate and plot surface tension along the isotherms" ] }, { "cell_type": "code", "execution_count": 9, "id": "2acf2b6f-4ccb-4e14-a96b-08949a212878", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 4/4 [02:14<00:00, 33.56s/it]\n" ] } ], "source": [ "gamma = []\n", "for T_states in tqdm.tqdm(states):\n", " gamma_T = []\n", " for state in T_states:\n", " gamma_T.append(PlanarInterface.from_tanh(state, 1024, 200 * ANGSTROM, cp.temperature).solve().surface_tension / (MILLI * NEWTON / METER))\n", " gamma.append(gamma_T)" ] }, { "cell_type": "code", "execution_count": 10, "id": "2508afe3-0ea7-4df2-a904-0f303c41cfd6", "metadata": {}, "outputs": [ { "data": { "image/png": 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LS5ssqqLcysLj8VqVhN+vXz/s3r0bL730EvLz87Fs2TLs3bsXdnZ2Gp+r0/nyS+CjjyinpB289NJLcHd3x86dO5GWloZbt25hwIABWLx4MV599VUsXLgQAGBlZaX2Oem6aBsKSgghhHRKpqamevPhXl89vV1EJpOpfZyTkxNSU1Nx+/btJscoS546OTmpHAco7gjfvXsXtra2DY5T3sG1t7fXOJlXycbGBnv27MFLL72EgoICLF++HHv37m0yiVivmJp2qg/3+mzcuHEYN25cg+/X1tZyP4fDhw9X+3x0XbSNnq4BEkIIIaStsrOzuT9r8sFk1KhRAIDU1NRGn79//z7X30E5FgBsbW3Rr18/AMDFixcbPVb5/aePaw1bW1vs3r0bAwYMQH5+PpYvX46ioqI2nZN0DwkJCVxfN01aQdB10TYUlBBCCCHd1Pbt2wEAQ4YMabJnQ2P8/f1haGiIvLw8JCcnN3he2dXaw8MDAwcOVHlu1qxZAICoqKgGx5WWlnKVj5TN4trCwcEBu3fvRr9+/ZCXl4fly5ejpKSkzeclXVdtbS22bdsGAHjxxRdVEsxbQtdF21BQQgghhHRRO3bswM8//4xHjx6pfP/Ro0f4xz/+wXWRfu211xocm56eDoFAAIFAoNK3AVDssw8JCQEAfPDBByq9HIRCIX766ScAwLp16xqcd+XKlTAxMYFYLMZXX33FbRuTSqXYuHEjpFIpPDw8IBAI2vDOnxg4cCB2794Na2tr5OTkIDQ0FA8fPmyXcxP9tX///gbbrG7fvo3Vq1fj+vXrGDJkCP761782OI6ui45DOSWEEEJIJ3f37l0sWLCA+1pZACA1NRU+Pj7c91etWoVXXnmF+/revXvYs2cPPvzwQ9jZ2aFPnz6orq5GTk4O6uvrwePx8NZbb3F3aZ9WU1ODgoICAEB9fX2D59955x1cvXoVaWlpCAwMhIuLCyorK7k98ytWrMD06dMbHDdgwAB88skn2LhxI7777jtERkbCxsYGubm5qKyshJWVFb788st2beTr7OyMXbt2YenSpbhx4wZCQ0OxZ88ervcD0U+tvS4A4Oeff8YHH3wAKysr2NjYoLy8nGti6Obmhp9++qnRKld0XXQcCkoIIYSQTk4mk3HVd55WX1+v8v2nex8AQEBAAADg8uXLKCwsxPXr18Hn82Fvbw9vb2+8+OKLGDp0aKvmZGJigj179mDXrl04cuQI8vLyYGhoCG9vb7z00kuNBjpKs2fPhoODA/773//i4sWLyM7ORr9+/RAcHIy1a9eib9++rZpTc5RN45YtW4asrCysWLECu3btUqmCRPRLa68LQFF96/jx48jOzkZWVhZMTU0xduxYBAQE4IUXXmh1MjldF63HsCzLav1ViYrg4GBcvXoVnp6eOHDggK6nQwghhBBCSJtp8hmXckoIIYQQQgghOkVBCSGEEEIIIUSnKCghhBBCCCGE6BQluhPyJ4lEgri4OEilUpiZmcHf3x+Ojo66nhYhhBBCSJdHQQnp9kQiEcLDwxEdHQ2WZcHj8SCXy8EwDAIDAxEWFgYvLy9dT5MQQgghpMui7VukWztw4AD8/PwQExMDZSE6uVwOAGBZFseOHYOvry9VRSOEEEII6UAUlJBuSyQSISQkBDKZjOuc+izlcyEhIRCLxVqeISGEEEJI90BBCem2Nm/eDJZl0VKrHuWYzZs3a2lmhBBCCCHdCwUlpFuSSCQ4evRokyskz5LJZDhy5AgkEkkHz4wQQgghpPuhoIR0S3FxcS2ukDyLZVkIhcIOmhEhhBBCSPdFQQnplqRSKXg8zX78eTweysrKOmhGhBBCCCHdFwUlpFsyMzPjqmypSy6Xw9zcvINmRAghhBDSfVFQQrolf39/MAyj0TEMw0AgEHTQjAghhBBCui8KSki35OjoiMDAQPD5fLXG8/l8BAUFUYd3QgghhJAOQEEJ6bbCwsLAMEyLKybKMZs2bdLSzAghhBBCuhcKSki35eXlhcjISPD5/CZXTJTPRUVFwcvLS8szJIQQQgjpHgx0PQFCdCk4OBhJSUkIDw/H0aNHwbIseDwe5HI5GIZBQEAANm3aRAEJIUSniouLkZiYiIyMDFy5cgXXrl1DTU0NvL298fPPPzd53LZt2/DNN9+o9Ro///wzvL29NZpXXV0ddu/ejcOHD0MikcDQ0BDu7u5YunQpZs6c2eyxmZmZ+PHHHyEWi1FWVoZ+/fph2rRpWLt2Lfr06aPRPABAIBCgoKAAH3/8MYKDgxs8X19fj/feew9Hjx6FiYkJvvnmG0yaNEnj1yGdA8uySEtLg1AoREpKCnJyclBeXg4zMzN4eHhgwYIFCAoKanI3xIULF3Dp0iXumiosLAQA7NmzBz4+Pm2aW0VFBX788UccP34chYWFMDU1xciRI7FixYoWz52cnIyIiAhcunQJlZWVsLW1xezZs7F69WqYmppqPBc3NzcATb+vyspKrFmzBsnJybC0tMSOHTvg6emp8eu0BwpKSLfn5eXF/UIVCoUoKyuDubk5BAIB5ZAQQjqF6OhofPzxxxofN2DAAIwZM6bJ5+/evYu7d+/CxMQEHh4eGp27pqYGL7/8MlJSUsDn8zFkyBBUVVVBJBJBJBLhlVdewdtvv93osSdOnMBbb72Furo69O3bFy4uLsjNzcXPP/+M2NhY/Pbbb3BwcNBoPs2pra3Fxo0bceLECfTs2RM//PCDxgEY6VySk5MRGhrKfe3g4AA7OzsUFBQgMTERiYmJiI6OxrZt22BkZNTg+HXr1kEqlbb7vB4+fIgXX3wRubm5MDIywpAhQ/Dw4UPEx8fjzJkzCAsLw5IlSxo99ueff8aHH34IlmVhY2ODAQMG4ObNm/j+++9x4sQJ/Prrr+jdu3e7zVUqleKVV15BWloarK2tERERARcXl3Y7v6YoKCHkT46Ojir/wBFCSGfRq1cv+Pr6Yvjw4Rg+fDgyMzPx3XfftXjcc889h+eee67J55cuXYq7d+9ixowZ6NWrl0Zz+vTTT5GSkgJ7e3ts374dzs7OABTNad944w1s374dY8aMaVC18P79+3j33XdRV1eHtWvXYt26dTAwMIBUKsWbb76Js2fP4o033sD+/fs1rpLYmJqaGqxfvx4JCQkwNzfHTz/9hJEjR7b5vES3WJaFvb09li9fjoCAAPTt25d77uDBgwgLC0N8fDy++uorvPPOOw2OHzJkCJycnDB8+HAMGzYMr7zyCkpLS9s8rw8++AC5ubnw9PTE999/j/79+4NlWURFReEf//gHPvzwQ4wZMwZDhw5VOS4jIwMfffQRAODf//43XnjhBTAMg/v372PNmjW4evUqwsLCsG3btjbPEQAeP36MFStW4OrVq7C1tcWuXbswcODAdjl3a1FOCSGEENLJPffcc4iIiMBbb72FGTNmqHwAa607d+5ALBYDQKPbnZpTUlKCffv2AQA+/PBDLiABFCXXV61aBQCNbh376aefUFVVBS8vL7z++uswMFDcHzUzM8Pnn38OMzMzZGRk4PTp0616X0+rrKzE6tWrkZCQgD59+mDPnj0UkHQRI0aMQGxsLJYtW9bgeliwYAHWrVsHANi/f3+jfcn27duHLVu2YMmSJRg5cmS7BMCZmZkQCoXg8Xj44osv0L9/fwCKgjkhISGYP38+ZDJZozcUvvvuO8jlcsyfPx8hISHcfPr374+tW7eCx+PhxIkTuH79epvn+eDBAyxduhRXr16Fo6Mj9u7dq/OABKCghBBCCOmWDh48CJZlMWDAAIwfP16jY4VCIerq6uDk5NTosYsWLQIAXL16FRKJROW548ePAwBeeOGFBsdZWFhg9uzZAICYmBiN5vSs8vJyrFy5EsnJyejXrx/27t3b4O400V+9evWCoaFhk89PnjwZgGJF4OHDh1qZk/Jne/z48Y1+yA8JCQEAnDlzBpWVldz3KyoqcPbsWQCNXxdPX2exsbFtmuP9+/exZMkSZGdnY8iQIfjll19gZ2fXpnO2FwpKCCGEkG6GZVkcPHgQgOKuMo+n2ceB9PR0AMDYsWMbfb5///6wt7dXGQsoclju378PAE0WEBk3bhwA4NKlSxrN6WmPHz/G8uXLkZqaCjs7O/zyyy8YPHhwq89H9E91dTX3ZxMTE628pvJnXfkz/KwRI0bAyMgINTU1uHbtGvf9a9euoba2FkZGRhgxYkSjxyqvtbZcF3fu3MGSJUuQm5sLDw8P/Pzzz+jXr1+rz9feKCghhBBCuhmxWIz8/HwAmm/dAoC8vDwAaLYYiPK53NzcBscZGhrCxsam0eOUCe75+fmoq6vTeG7KrSkZGRlwcnLCL7/8QkVLuqHo6GgAgLu7u8b5Uq3V0nVhaGiIAQMGAFC9LpR/trW1bXL1p7HrSdO5LVmyBPn5+Rg1ahR2797dqip3HYkS3QkhkEgkiIuLg1QqhZmZGfz9/emXONG5yrpK1MpqdT0NjRnxjWBqqHnpTm06cOAAAMXd19Zc68qEYAsLiybHKJ8rKyvjvvf48WPuuab28CurC8nlcpSXl8PS0lKjuX355Zeor6/HkCFDsGvXLlhbW2t0fGdXWQnU6t9lASMjoBUVbVslIyODy3lavXq1dl4Urb8uNDmutcn4//73v1FfXw8vLy/897//Rc+ePVt1no5EQQkh3ZhIJEJ4eDiio6Mb9GgJDAxEWFgY9WghOvFG7BvYJtoGOdswQbWz4zE8bPDegC9nf6nrqTSqoqKC2/vemlUSQFHRCkCze/qVZVif3kajyXFPj2+N0tJSVFRUdKmg5I03gG3bgEbytjs9Hg/YsAH48suOfZ2SkhJs2LAB9fX1mDFjBgICAjr2BZ+ijeuiLdcEADx69Ag1NTWdMijRy+1bLMsiNTUVn332GRYvXgwfHx94enpi/PjxWLFiBQ4fPgyWZdt0/qNHj2LlypXw9fXFsGHDMHHiRCxfvhw7duxox3dCiO4cOHAAfn5+iImJ4a4XZYUSlmVx7Ngx+Pr6cndUCdGmb0Tf6GVAAgByVo5vROo1LNSF48ePo7KyEj169OCSyjVlbGwMAM1ur6r983b+0/v5NTnu6fGa2LBhA5ycnFBcXIzly5dz29S6gm++0c+ABFDMW80+nq2m7LtRWFgIT09PbNmypWNf8BnauC5ac00AwPvvv48+ffrg5s2bWL58OR49etSq83QkvQxKkpOTsXjxYmzfvh2pqakwMzODm5sbWJZFYmIi3nnnHfz1r39V+YdNXRUVFVixYgU2btyIc+fOwdTUFO7u7jA0NIRYLMaPP/7YAe+IEO0SiUQICQmBTCaDTCZrdIzyuZCQEK5sKCHast57PXiMXv6KAp/hY733el1Po0l//PEHAGDmzJmt3mtvbm4OoPmtJMrnlGMB1S0oTd08VG7x4vF4rZpfv379sHv3bjg4OODevXtYtmwZCgoKND5PZ7R+vWLFQR/x+Yr5d5SKigqsWrUKmZmZcHFxwY4dO7SWS6LUHtdFS8c1t8WrOcrtjL1790Z2djZefvnldunL0p70cvtWWxvmNHfeDRs2ICkpCZMmTcI//vEPlb22ZWVlXerDmVwux//93/8hNTUVU6dOxQsvvNAp6lSTjrd582awLNviiqJyzObNm3Ho0CEtzY4Q4MvZX+Ij/48op6Sd5efnt7o3ydOcnJyQmpqK27dvNzlGWQrYyclJ5ThAcUf47t27sLW1bXSOAGBvb9/sdpbm2NjYYM+ePXjppZdQUFCA5cuXY+/evU0m1+uLL78EPvqIckqeVVVVhVdffRXp6elwcnJCRESExrlI7cHJyQn3799v8rqoq6tDYWEhN/bp4wCgsLAQdXV1jf7cN3Y9acrNzQ27du3C8uXLce3aNaxYsQK7du2CmZlZq8/ZnvQyKFE2zGnsL23BggW4d+8evvjiC+zfvx8bN25Uu9ThgQMHkJiYiJEjR+KHH37gGjopmZubw9/fv13eQ2cgFouxefNmAMCxY8fw7rvvwtfXFyEhIXj++ee5ChGka5FIJDh69KjaWxxlMhmOHDkCiURCye9Eq0wNTTvth3t9pexNYmdnBx8fn1afZ9SoUThw4ABSU1Mbff7+/fu4c+cON1bJ1tYW/fr1Q1FRES5evIh58+Y1OPbixYsNjmsNW1tb7N69G0uXLkV+fj6WL1/e6UqgtoapqfYSxvVBTU0N1qxZA7FYDDs7O50WNxg1ahQuXLiAlJSURp+/fPky6urqYGxsrNIzZ+jQoTA0NERtbS0uX77caKlt5Tnbel0MHToUO3bswMsvv4yMjAysWrVKJ6tKjdHLRcCOapiza9cuAMCaNWsaBCRd0cCBAxssAyYlJeH111+HnZ0dBAIBfvzxR5SUlOhohqQjxMXFaZxzxbIshEJhB82IEKINz/YmaUsHa39/fxgaGiIvLw/JyckNnldWPvLw8GiwAj9r1iwAQFRUVIPjSktLueZwrc13eZqDgwN2796Nfv36IS8vD8uXL6ffaV1IXV0dNmzYgPPnz6N///7YvXu3Tm+oKn+2L1y40OhqSWRkJADF59SnE8179eqFiRMnAmj8unj6OmuP62L48OHYsWMHevbsifT0dKxevVqlmaOu6GVQ0pLWNMyRSCTIzs4Gj8eDj48PLl26hH/84x8IDQ3F2rVr8eOPP2qtI6i22NjY4PLlywgLC4OLi4vKcyzL4vTp03j11VcxYMAAzJkzB7t37+50+w+J5qRSqcaN0ng8nkr5QkKI/hGJRLhz5w4YhsHChQtbHJ+eng6BQACBQIB79+6pPGdlZcV1p/7ggw+Qk5PDPScUCvHTTz8BANatW9fgvCtXroSJiQnEYjG++uorLq9NKpVi48aNkEql8PDwgEAgaPV7fdrAgQOxe/duWFtbIycnB6GhoV3u93l3JJPJsHHjRpw5cwbW1tZcHlFHi42N5a6LZ3l6emLatGmQyWR48803UVRUBEDxmSoyMhKHDh0Cj8fDmjVrGhy7du1aMAyDQ4cOITIykrt5WFRUhLfeegtyuRzTp0+Hu7t7u7yPkSNHYvv27TA1NUVKSgpeffVVlc/PutAllwNa0zAnIyMDgKI++i+//ILPP/9c5W5yXFwctm/fjm3btmH8+PHtP2kdcXR0xL///W/861//Qnp6Ovbt24d9+/ZxexcBoL6+HrGxsYiNjYWRkRHmzp2LkJAQBAUFdcqScqR5ZmZmXJUtdcnlcpWkPEKIdt29excLFizgvlYWcklNTVXZhrVq1Sq88sorjZ5DmeDu5eWl1oe3mpoaLkG8vr6+wfPvvPMOrl69irS0NAQGBsLFxQWVlZXc748VK1Zg+vTpDY4bMGAAPvnkE2zcuBHfffcdIiMjYWNjg9zcXFRWVsLKygpffvllm1ZynuXs7Ixdu3Zh6dKluHHjBkJDQ7Fnzx6uJwrRPzExMVxpayMjI7z//vtNjg0LC4OHh4fK98LDw3H06FHua+VN17Vr16rslrlw4YLKcZWVlc0WTvjoo4+wePFiXL16Ff7+/hgyZAgePXqEu3fvgmEYvP/++/D09Gxw3IgRI/C3v/0NW7ZswT/+8Q98//33sLS0xM2bN1FbW4tBgwYhPDy8mf8jmhs7diz++9//YvXq1RCJRFizZg1++OGHVlf4aqsuF5S0tmGOMpotKyvDZ599hqlTp+Kdd96Bo6MjcnNz8dFHHyE5ORkbNmzAkSNHWkyW27dvX6NLcI25deuW2vPsKAzDYPTo0Rg9ejS2bNmC5ORkREZGIioqCnfv3uXG1dbW4uDBgzh48CBMTU0RFBSERYsWYfbs2WqvShHd8vf3B8MwGm3hYhim3e5aEkI0J5PJuKpUT6uvr1f5flN3Op/uTaLOKok6TExMsGfPHuzatQtHjhxBXl4eDA0N4e3tjZdeeonbytKY2bNnw8HBAf/9739x8eJFZGdno1+/fggODsbatWtVCti0F2X1oWXLliErK4tL8qUbLvrp6QqrBQUFzQYKUqm0wfcqKioavabKy8vbNK8+ffrgf//7H7Zv347Y2FjcvHkTpqammDx5MlauXNnsje3Q0FC4ublh586duHz5Mh48eABbW1vMnj0bq1ev7pAbwd7e3vj+++/x17/+FUlJSVi3bh2+++47lX5B2sKwbWno0cmUlJTg+eefR2FhIWbMmIFvNCiI/d133+Grr74CoFg9OHbsmEreSlVVFWbMmIHi4mKsWLEC7733XrPn27Ztm0avDyiW/TpbTwiZTIazZ88iMjISv//+Ox48eNDoOHNzcyxYsACLFi3C9OnTW10xhWjHvHnzcOzYsSbLAT+Nz+cjICCAqm8RQgghRCPBwcG4evWqWp9xu0xOSVsb5jy9VLVkyZIGH6p79OiBRYsWAQDOnj3b4vmsra3h6emp1qMzrzDw+XxMnToV33//Pe7evYvY2FiEhoY2uLNUVlaGPXv2YO7cubCxscGrr76K06dPq/Whl2hfWFgYGIZpcXuEcsymTZu0NDNCCCGEdEddYvtWezTMefpD9uDBgxsdo/y+ssxhcxYtWsQFMS1RRpGdnaGhIWbNmoVZs2bhhx9+wPHjx7Fv3z4cOnRIpWrDw4cP8eOPP+LHH3+EjY0Nnn/+eSxatAjjx4/XOMGadAwvLy9ERkYiJCQELMs2Gjzy+XwwDIOoqCh4eXnpYJaEEEII6S70/hNiezXMcXZ25v7c1NYj5WqKpknCXZGxsTHmzZuHX3/9FUVFRYiMjERwcHCD5Kh79+5h27Zt8PPzg5OTE95++22IRCKNS9KS9hccHIykpCTMnTuXWzFRBo0MwyAgIABJSUnttv+cEEIIIaQper1S0p4Nczw8PGBiYoLq6mrk5+c3moikrCii7x1h21vPnj3xwgsv4IUXXkBZWRkOHTqEffv24cSJEyoVW/Lz8/H555/j888/x8CBA/H888/j+eefh5eXV7tWWSHq8/LywuHDhyGRSCAUClFWVgZzc3MIBAJqlEgIIYQQrdHblZL2bpjTo0cPTJs2DQC45lJPY1mWK6fYlUoCtzdzc3MsXboU0dHRuHfvHrZv3w5/f/8G27Zu376Nzz77DD4+PnB2dsa7774LsVhMKyg64ujoiNDQULz22msIDQ2lgIQQQgghWqWXQUlbGuYoG94oO8Y+bf369TAwMMDFixfx7bffcvvs6+vr8emnn+L69eswNjZGaGhoe76dLqtv375YtWoVTp06hYKCAnzzzTeYMmVKg1WRvLw8fPrpp/D29uYClIsXL1KAQgghhBDSTehlSeCjR49i48aNAAA7Ozv079+/ybHPNsxxc3MDAHz88ccIDg5uMP6PP/7ABx98AJlMhj59+sDe3h4SiQSPHz+GoaEhtmzZgsDAwHZ9P5qUS+sK7t69iwMHDiAqKgpnz55tMvgYNGgQnn/+ebzwwgsYM2YMbfEihBBCCNEjmnzG1cuckrY2zGnOwoULMWTIEPz000+4ePEirl27ht69eyMwMBCvvPIK3N3dWz1vojBgwACsW7cO69atw927d/G///0PUVFROHfunEqAkpubi//85z/4z3/+A2dnZy4HhQIUQgghhJCuRS9XSrqa7rZS0pTCwkL873//w++//94gQHmas7MzXnjhBTz//PMYPXo0BSiEEEIIIZ1Qt2yeSPSfra0tNmzYgISEBNy5cwdff/01Jk6c2CDoyMnJwZYtWzB27Fi4uLjg73//O9LS0igHhRBCCCFET1FQQjolZYBy9uxZ5Ofn46uvvoKfn1+Dcbdu3cKWLVswZswYuLq64v3330d6ejoFKIQQQggheoSCEtLp2dnZ4bXXXsO5c+eQn5+PL7/8stEA5ebNm/j4448xevRouLm54f3330dKSgoFKIQQQgghnRwFJUSv2Nvb4/XXX1cJUHx9fRuMu3HjBj7++GOMGzcOzs7OePvtt3H+/HnI5XIdzJoQQgghhDSHghKit5QBSmJiIiQSCb744gtMmDChwbi8vDx8/vnn8PX1haOjI1577TWcOXOG60NDiLokEgkiIiLw9ddfIyIiAhKJRNdTIoQQQroECkpIl+Dg4IA33ngDSUlJXIDSWJJ8QUEBtm3bhqlTp8LW1hZ//etfcfLkSdTV1elo5kQfiEQiBAUFwcnJCStWrMCbb76JFStWwMnJCfPmzYNYLNb1FAkhhBC9RkEJ6XKUAcrZs2dRUFCAb7/9FgKBADye6o97UVER/vvf/2LmzJmwsbHBihUrEB0djZqaGh3NnHRGBw4cgJ+fH2JiYrj8JOU2QJZlcezYMfj6+nbrct6EEEJIW1FQQrq0AQMGYO3atYiLi8O9e/ewfft2zJ49GwYGqn1DHz58iIiICAQGBqJfv3546aWX8Mcff6CqqkpHMyedgUgkQkhICGQyWZPb/ZTPhYSE0IoJIYQQ0koUlJBuw9raGqtWrUJMTAyKioqwe/duzJs3D8bGxirjysrK8MsvvyA4OBhWVlZ44YUXEBkZCalUqqOZE13ZvHkzWJZtsYKbcszmzZu1NDNCCCGka6GghHRLlpaWWLZsGQ4dOoTi4mL89ttveO6552BqaqoyrrKyEr///jsWLVoEa2trLFiwAD///DMeP36sm4kTrZFIJDh69KjaBRFkMhmOHDlCye+EEEJIK1BQQro9MzMzLFq0CL///juKi4vxv//9D4sXL4aZmZnKuJqaGhw6dAjLli1Dv379MHfuXOzYsQMlJSU6mjnpSHFxcRr3uGFZFkKhsINmRAghhHRdFJQQ8hRTU1MEBwfj119/RVFREY4cOYLly5ejd+/eKuPq6uoQExODVatWwcbGBv7+/vj2229RUFCgm4mTdieVShsUR2gJj8dDWVlZB82IEEII6booKCGkCSYmJggMDMSuXbtQVFSE48eP45VXXoG1tbXKOJlMBqFQiPXr18Pe3h4+Pj7YsmULsrOzdTRz0h7MzMw0brYpl8thbm7eQTMihBBCui4KSghRg6GhIWbOnIkff/wRhYWFEAqFWLduHQYMGNBgrEgkwt///ne4ubnB09MTmzZtQkpKisZbgYhu+fv7N+hz0xKGYSAQCDpoRoQQQkjXRUEJIRoyMDDAtGnT8M033+DOnTs4d+4cNm7cCGdn5wZjMzMz8eGHH2LcuHFwcnLC66+/Tt3k9YSjoyMCAwPB5/PVGs/n8xEUFARHR8cOnhkhhBDS9VBQQkgb8Hg8+Pn54bPPPsPNmzeRnp6O//u//8OIESMajJVIJPj6668xdepU2NjYYOXKlTh69Ciqq6t1MHOijrCwMDAM0+KKiXLMpk2btDQzQgghpGuhoISQdsIwDEaOHIl//vOfuHTpEm7duoXPPvsMfn5+DT7UlpSUYOfOnQgKCoK1tTVeeOEF7Nu3j5KkOxkvLy9ERkaCz+c3uWKifC4qKgpeXl5aniEhhBDSNVBQQkgHcXZ2xsaNG3Hu3DkUFhbiv//9L2bPng1DQ0OVceXl5fj999+xePFiWFtbY+7cudi+fTuKiop0NHPytODgYCQlJWHu3LlccKmsysUwDAICApCUlISFCxfqcpqEEEKIXmNYyr7VueDgYFy9ehWenp44cOCArqdDOlhpaSmio6Pxxx9/ICYmBhUVFY2OYxgGfn5+CA4OxsKFC+Hk5KTdiZIGJBIJhEIhysrKYG5uDoFAQDkkhBBCSBM0+YxLQUknoMugJKMoA5uEm7BZsBnD+g3T6msToKqqCqdOncIff/yBw4cP48GDB02OHTVqFBYuXIiFCxdi2LBhGleGIoQQQgjRJk0+49L2rW7uaPZRHMo6hOjsaF1PpVvq0aMHgoKCsHPnTty7dw9CoRAbNmyAg4NDg7FPJ9G7urri7bffxtmzZ6mSFyGEEEL0HgUl3ZwwV6jyX6I7ylLDX3/9NW7fvg2xWIz3338fQ4cObTD25s2b+PzzzzF58mTY2Njg5ZdfxsGDB5vcCkYIIYQQ0pkZ6HoCRHsKygpwv+I+9zXLsjgrOQsASJAkIKUwRWVLUP+e/WFnbqf1eRJFPsm4ceMwbtw4fPjhh8jKysIff/yBP/74AyKRSGVsSUkJdu3ahV27dsHExAQzZszA/PnzERgYiP79++voHRBCCCGEqI9ySjoBbeWUTI6YzAUhSgwYsGC5/6qMd5yMMy+f6bD5kNa5c+cODh06hEOHDiE+Ph51dXWNjmMYBhMmTMC8efMwf/58uLu7a3mmhBBCCOnOKKeENGrVmFUwMTABgyerIcpA5OmAhAEDEwMTrByzUutzJC2zt7fHunXrcOLECRQXF2Pfvn1YvHgxLCwsVMaxLIukpCT87W9/w9ChQ+Hm5oZ3330XiYmJlIdCCCGEkE6FgpJuZNnIZUhZnQKXvi7gMY3/1fMYHlz7uiJldQqWjVym5RkSTVlYWCAkJAS//vorioqKcPLkSaxfv77RRPns7Gx8+umnmDhxIgYMGICVK1fi8OHDqKys1MHMCSGEEEKeoO1bnYC2SwJX1FYgZH8Iom80rLgV6BqIyOciYWpo2uHzaC+SUgnicuIgrZXCzMgM/s7+cLTo3r0jWJZFeno6t80rPT29ybE9evTAzJkzMW/ePK7DPCEdRSKRIC4uDlKpFGZmZvD396deL4QQ0kVp8hmXEt27IVNDUxRVFIHH8CBn5dz3eQwP98vvo4dBDx3OTn2iAhHCE8IRnR0NFiz3fhgwCHQNRNjkMHjZeel6mjrBMAxGjx6N0aNH45///Cdu376Nw4cP49ChQzhz5gzq6+u5sVVVVVzwwjAMfH19MX/+fMyfPx+urq46fBekKxGJRAgPD0d0dDRYlgWPx4NcLgfDMAgMDERYWBi8vLrn9UoIIYS2b3VLJ26dgLhQDDkrh4mBCd4c/yZMDEwgZ+UQF4pxMuekrqfYogPXDsBvpx9ibsRw+TDKAIsFi2M3jsF3py8OXNNuM8rOauDAgdiwYQNOnTqF4uJi/PrrrwgJCYGZmZnKOJZlkZiYiHfffRdubm4YOnQo/va3v+H8+fOQy+VNnJ2Q5h04cAB+fn6IiYmBcnFe+fPEsiyOHTsGX19frTePJYQQ0nlQUNLNsCyLsNNhAAC3vm5IWZ2CrbO2ImV1Clz7Ku6KbxJuQmfe1ScqECFkfwhkchlkbOMJ2zJWBplchpD9IRAXiLU8w86td+/eWLx4Mfbt24eSkhIcP34ca9euhZ1dw/LP169fxyeffAJfX1/Y2tpi1apV1A+FaEQkEiEkJAQymazJAgvK50JCQiAW0/VKCCHdEQUl3UydvA69TXrj5VEvI/XVVHhYewAAPKw9kLo6FaGjQmFpYol6eX0LZ9KdzQmbwbJsgxLGz2LBgmVZbD67WUsz0z9GRkaYOXMmvv32W+Tn5+PixYsICwvDiBEjGoy9f/8+duzYgYULF6Jv376YO3cuvv/+e+Tn5+tg5kRfbN785/Xawo0O5ZjNm+l6JYSQ7ogS3TsBbSe6syyr0iRR0+d1SVIqgdOXTi0GJE9jwCDvjbxun/yuqdzcXC4PJSEhodkywiNHjkRQUBACAwPh5eUFHo/udxBFUruTk5NGK68MwyAvL4+S3wkhpAugPiWkWS0FHJ01IAGAuJw4jQISQLFiIswVdtCMuq5Bgwbh9ddfh1AoRHFxMfbu3YtFixY16IcCAJcuXcLmzZsxfvx42NraYuXKlTh48CDKy8t1MHPSWcTFxWm8FZRlWQiFdL0SQkh3Q0EJ0SvSWmmTPVaawmN4KKsp66AZdQ+WlpZYsmQJfvvtNxQXF0MoFOKtt96Ci4tLg7H379/Hzp07sXDhQlhZWWHOnDn47rvvIJFIdDBzoktSqVTjVTMej4eyMrpeCSGku6GghOgVMyMzlTLG6pCzcpgbm3fQjLofQ0NDTJs2DZ9//jmys7Nx/fp1fPrpp5gyZQr4fL7K2JqaGsTGxmLdunUYOHAgRo4ciU2bNuHChQtUzasbMDMz0/jvWS6Xw9ycrldCCOlu9LJPCcuySEtLg1AoREpKCnJyclBeXg4zMzN4eHhgwYIFCAoKapdtSL/88gv+/e9/AwC8vb3x888/t/mcpPX8nf3BgNE4p0QwSNCBs+re3Nzc4ObmhrfffhsPHz5EbGwsjhw5gpiYGJSWlqqMvXz5Mi5fvowPP/wQ/fr1Q0BAAIKCgjBjxgz06tVLR++AdBR/f38wDKNxTolAQNcrIYR0N3q5UpKcnIzFixdj+/btSE1NhZmZGdzc3LgeC++88w7++te/ora2tk2vc//+fWzdurWdZk3ag6OFIwJdA8Fn+C0PBsBn+AhyC6Ikdy3p06cPXnzxRW6b1+nTp5vc5lVUVISIiAgEBwejb9++mD17Nr799lvcvn1bBzMnHcHR0RGBgYENVtCawufzERQUREnuhBDSDellUMKyLOzt7fHBBx8gKSkJp06dwoEDB3DhwgV88sknMDIyQnx8PL766qs2vc4///lPVFVVYdq0ae00c9IewiaHgWEYMGghYR8MGIbBpkmbtDQz8jRDQ0NMnTqV2+aVlZWFzz77rNFtXrW1tTh+/DjWr18PJycnjBgxAh988AGSk5Npm5eeCwv783pVo8AGwzDYtImuV0II6Y70MigZMWIEYmNjsWzZMvTt21fluQULFmDdunUAgP3797f6A82xY8cgFAqxZMkSeHp6tnnOpP142Xkh8rlI8Hn8JldM+AwffB4fUc9FwcvOS8szbD+SUgki0iLw9YWvEZEWAUmp/iaLu7q6YuPGjYiPj+e6yi9evBi9e/duMPbKlSv46KOPMGHCBAwYMAChoaGIiorC48ePtT5v0jZeXl6IjIwEn89vcsVE+VxUVBS8vPT3em0riUSCiIgIfP3114iIiKDiEISQbkUvg5JevXrB0NCwyecnT54MAHj8+DEePnyo8flLS0vx4YcfwsbGBm+88UZrp0k6UPDQYCStSMJcl7nciomyKhcDBgGuAUhakYSFQxfqcpqtJioQIei3IDh96YQVh1fgzeNvYsXhFXD60gnzfpun913qLS0tsXjxYvz6668oKipCfHw8Nm7cCFdX1wZji4qKsHv3boSEhMDKygpTp07Ff/7zH1y9elXjcrNEN4KDg5GUlIS5c+dyKybKqlwMwyAgIABJSUlYuFA/r9e2EolECAoKgpOTE1asWIE333wTK1asgJOTE+bNm0dd7gkh3YJeJrq3pLq6mvuziYmJxsdv2bIFJSUl+Pbbb9GzZ8/2nBppR152Xji8+DAkpRIIc4UoqymDubE5BIMEep1DcuDaAYTsD1HpWq+sOMaCxbEbxxBzMwaRz0UieGiwLqfaLgwNDTFlyhRMmTIFn332GbKzs3H06FEcOXIEZ8+eVWnaKJPJcObMGZw5cwbvvfceHB0dMXfuXAQEBEAgEMDU1FSH74Q0x8vLC4cPH4ZEIoFQKERZWRnMzc0hEAi6dQ7JgQMHEBISotL1XrnCz7Isjh07hpiYGERGRiI4WP+vd0IIaUqXDEqio6MBAO7u7hpX9Dl//jwOHDgAgUCA6dOnd8T0SDtztHBE6KhQXU+jXYgKRAjZHwKZXNZkhTEZKwPDMgjZH4KkFUl6vT2tMa6urnjrrbfw1ltv4dGjRzhx4gT3way4uFhlrEQiwQ8//IAffvgBxsbGmDZtGhekODs76+gdkOY4OjoiNDRU19PoFEQiEUJCQiCTyZpc9ZPJZGAYBiEhIUhKSurW29sIIV1blwtKMjIysG/fPgDA6tWrNTq2uroa//jHP2Bqaop//OMfbZrHvn37EBUVpdbYW7dutem1SNexOWGzygpJU1go7qpuPrsZhxYd0tLstM/S0hIhISEICQmBXC6HWCzGsWPHEB0djZSUFJWxyp4osbGxeO211+Du7s4FKBMnToSRkZGO3gUhjdu8ebPKCklTlGM2b96MQ4e67vVOCOneulRQUlJSgg0bNqC+vh4zZsxAQECARsd//fXXkEgk+Pvf/44BAwa0aS7FxcW4evVqm85BuhdJqQRHs4+q3YNFxspwJOsIJKUSvd6upi4ejwcfHx/4+PjgX//6F+7du4eYmBgcO3YMJ06caNAF/Pr167h+/Tq2bt0KMzMzzJgxA3PnzsXcuXPbfH0T0lYSiQRHjx5VOy9KJpPhyJEjkEgk3Xq7GyGk6+oyQYlUKsUrr7yCwsJCeHp6YsuWLRodn5mZid27d8PDwwNLly5t83ysra3Vrtp169YtlTwY0j3F5cRp1BQSUKyYCHOFXWb7miZsbGzw8ssv4+WXX0ZdXR0SExMRHR2NY8eOITMzU2WsVCrFgQMHcODAAQDA6NGjERAQgLlz58Lb21vtPhqEtJe4uDiNCzWwLAuhUEjb3wghXVKXCEoqKiqwatUqZGZmwsXFBTt27NA4l+SDDz6AXC7Hv//973b5gLJo0SIsWrRIrbHBwcG0qkIgrZWCx/C4pHZ18BgeymrKWh7YxSl7okydOhWffvop8vLyuG1eQqGwQdCflpaGtLQ0bN68mWvcGBAQgFmzZqFPnz46ehekO5FKpeDxeBqVrefxeA1WBAkhpKvQ+6CkqqoKr776KtLT0+Hk5ISIiAhYWlpqfJ7MzEzw+Xz89a9/bfBcZWUlAMUHGT8/PwCKHii0BYS0JzMjM40CEkBRlcvc2LyDZqS/nJycsHbtWqxduxZVVVU4ffo0F6Tk5eWpjH3w4AF++eUX/PLLL+DxeJgwYQKXizJixIgWm/4R0hpmZmYa99GSy+UwN6frnRDSNel1UFJTU4M1a9ZALBbDzs4Ou3btgrW1davPJ5PJUFJS0uTzdXV13PNPlyklpD34O/uDAaPRFi4GDASDBB04K/3Xo0cPLpdk27ZtuH79OrfN6+zZs6ivr+fGyuVyJCYmIjExER988AFsbW0xe/ZszJkzB9OnT2+00SMhreHv7w+GYTTawsUwDAQCut4JIV2TXjZPBBQBwoYNG3D+/Hn0798fu3fvbtPKRVZWVpOP9evXAwC8vb2579nb27fXWyEEgKK0caBrYJNd6p/FZ/gIcgvqFknu7YVhGAwdOhRvv/02hEIhSkpKsH//frz88svo379/g/GFhYXYuXMnnn/+eVhZWWHixIn48MMPkZKSovFdbkKe5ujoiMDAQLW3C/P5fAQFBVGSOyGky9LLoEQmk2Hjxo04c+YMrK2tsXv3bjg4OKh1rEAggEAgQGxsbAfPkhDNhU0OA8MwXJf6pjBgwDAMNk3apKWZdU0WFhb4y1/+gp07d6KwsBAXL17Ev//9b/j4+DTYtiWTyZCYmIhNmzZh3LhxsLGxwdKlS/Hrr7826J9CiDrCwv683lvYIqgcs2kTXe+EkK5LL7dvxcTE4Pjx4wAAIyMjvP/++02ODQsLg4eHB/d1QUEBgCd5IoR0Jl52Xoh8LpLr6C5jG24T5DN8MAyDqOeiulzjRF3i8XgYO3Ysxo4di7CwMBQXF+PkyZPcvzfPBh7FxcXYu3cv9u7dC4ZhMG7cOG6rF1X0Iurw8vJCZGQk19G9sW3BfP6f13tUFDVOJIR0aXoZlNTW1nJ/Ligo4AKNxkilUm1MiZB2Ezw0GEkrkhCeEM71LVFW5WLAIMA1AJsmbaKApINZW1vjxRdfxIsvvgi5XI60tDTExMQgNjYW58+fV9m+xbIsxGIxxGIxwsPDYWlpiRkzZmDOnDmYNWsWFcUgTQoODkZSUhLCw8O5viXKqlwMwyAgIACbNm2igIQQ0uUxrKaF0km7U5YE9vT05PooEAIoGioKc4UoqymDubE5BIMElEPSCTx69AinTp3iOsgXFhY2O37kyJHcKoqvry8MDQ21NFOiTyQSCYRCIcrKymBubg6BQEA5JIQQvabJZ1wKSjoBCkoI0V8syyIjI4NbRTl37hzq6uqaHG9mZgZ/f3/MmTMHs2fPpg+dhBBCuixNPuPq5fYtQgjpLBiGwfDhwzF8+HC8++67kEqlEAqFiI2NRUxMDG7fvq0yXiqV4uDBgzh48CAAYOjQoVyAMmnSJJiYmOjgXRBCCCG6RUEJIYS0IzMzM8yfPx/z588Hy7LIysritnnFx8ejpqZGZfy1a9dw7do1bN26FT169MC0adO4IGXIkCE6eheEEEKIdlFQQgghHYRhGLi7u8Pd3R1vvPEGKisrcebMGS5Iyc7OVhlfVVWFY8eO4dixYwAAZ2dnzJw5EzNnzoRAIICFhYUu3gYhnZJEIkFcXBykUim3LZK2QxKivygoIYQQLTE1NcWcOXMwZ84cAEBOTg4XoMTFxTUoVZ6Tk4MffvgBP/zwA/h8Pnx8fLggxcvLCwYG9E846X5EIhHCw8MRHR3doFpZYGAgwsLCqFoZIXqIEt07AV0muqffS8eV+1fg6+CLwX0Ga/W1CSFP1NTU4Ny5c1wuytWrV5sdb2FhAX9/fy5IGTRokJZmSojuHDhwQK2+LpGRkQgODtbBDAkhT6PqW3pGV0FJ3uM8uG5zRZ1cUSloWL9hmO82HwvcF2DsgLEtdhkmhHScgoICnDx5EidOnMDJkydRUlLS7HgXFxcuQJk6dSrMzc21NFNCtEMkEsHPzw8ymQzNfXRhGAZ8Ph9JSUm0YkKIjlFQomd0FZSk30vH6P+ObvQ5OzM7zHebj/nu8zHVaSqM+EZamxchRJVcLkd6ejqOHz+OEydOIDExsdmywwYGBpgwYQIXpIwdO5Y6zBO9N2/ePBw7dqzRFZJn8fl8BAQE4NChQ1qYGSGkKRSU6BldBSUsy+Kn1J/w1YWvcLW46a0i5sbmmOsyFwvcFmCOyxyYG9MdWKJdklIJ4nLiIK2VwszIDP7O/t26iWR5eTnOnDmDEydO4MSJE7h+/Xqz4y0tLTF9+nQuSKFkYKJvJBIJnJycml0heRbDMMjLy6Ofd0J0iIISPdMZmifefHgTh64fwsGsg0iUJIJF4z8WhjxDCAYJMN9tPua5zYOduZ2WZ0q6E1GBCOEJ4YjOjgYLFjyGBzkrBwMGga6BCJscBi872p4hkUi4rV6nTp3Cw4cPmx3v7u7OBShTpkxBr169tDRTQlonIiICK1asaNVxoaGh7T8hQohaKCjRM50hKHlaUUURjmYfxaGsQzhx6wSq66ubHOtl64UF7gsw320+PKw9KA+FtJsD1w4gZP+fCa1sIwmtzJ8Jrc9FIngoJbQqyWQypKamcqsoSUlJqK+vb3K8oaEh/Pz8uCBl9OjR4PF4WpwxIS37+uuv8eabb0Iul6t9DI/HwxdffIHXXnutA2dGCGkOBSV6prMFJU+rqK3AyZyTOHj9II5mH8WDqgdNjh3SZwiXKD/BfgL4PNrDTlpHVCCC304/yOSyJlftAIABAz6Pj6QVSbRi0gSpVIr4+HguSHm2N8qzrKysuK1eM2bMgL29vZZmSkjTaKWEEP1EQYme6cxBydPq5fVIyk/CwesHcfD6QeQ+zm1yrLWpNYJcgzDffT5mOM9AD8MeWpwp0XfzfpuHYzeONbpC8iw+w0eAawAOLaKEVnXk5uZyW73i4uLw+PHjZse7ublh+vTpmD59OqZOnYrevXtrZZ6EPI1ySgjRTxSU6Bl9CUqexrIsMooycPD6QRzKOoSUuylNjjU1NMXMwTOxwG0BAl0D0de0rxZnSvSNpFQCpy+dml0heRYDBnlv5HXr5PfWqK+vx8WLF7lVlOTk5GYrG/F4PHh5ecHf3x/Tp0+Hr68vjI2NtThj0p1R9S1C9A8FJXpGH4OSZ+WX5uNw1mEczDqI+Lx41Msb38POY3iY6DgR81znYZ7bPLj0ddHyTElnF5EWgRWHW7FNY34EQkeFtv+EupHS0lKcPn2aC1Ju3brV7PgePXpg0qRJ3ErKyJEjKR+FdBixWAxfX1/qU0KIHtHkM66BluZEujgHCwes816Hdd7r8Lj6MY7dOIZDWYdw7MYxlNeWc+PkrBwJtxOQcDsBb598G2593TDPbR6CXIMwwWECDHj0I9ndSWulXJUtdfEYHspqyjpwVt2DhYUFFixYgAULFgAA8vLyEBcXh1OnTiEuLg7FxcUq46uqqrgABgD69u0LgUDABSnOzs7afgukC/Py8kJkZKRaHd2joqIoICFEz9AtLdLuepv0xovDX0Tkc5EoeacEMUti8OrYVzGg14AGY7MeZOHTpE8xeddk2Hxmg2V/LMP+zP30AbMbMzMy0yggARTBLvXPaX9OTk5YuXIlfvvtN9y7dw/p6en47LPPMHv2bJiamjYY/+DBA/z+++949dVXMXjwYDg7O2P16tWIiopqsSM9IeoIDg5GUlIS5s6dy1V7VK7OMQyDgIAAJCUlYeHChbqcJiGkFWj7VifQFbZvqUPOyiEuEONI9hEczjqMK0VXmhxryDPEtEHTEOQahCDXIAzsPVCLMyW6RDkl+qG2thbJyck4deoUTp06BZFI1OJe/1GjRnGrKJMmTWo0sCFEXRKJBEKhEGVlZTA3N4dAIKCkdkI6Gcop0TPdJSh5Vt7jPBzJOoIj2UcQnxePOnldk2NH9B/B5aGMtR0LHkOLfF0ZVd/SP6WlpThz5gwXpFy7dq3Z8UZGRvD19eWClLFjx8LAgLZvEkJIV0JBiZ7prkHJ08pqynD85nEczj6MYzeO4WFV0x2pbXrZcCso/s7+MDWku61djbhADN+dvtSnRI8VFBRAKBRyQUphYWGz483NzTFt2jQuSHFzc6NmrIQQoucoKNEzFJSoUvZDOZJ1BIezDyP7QdPN3noY9MB05+mY5zYPga6BsOllo8WZko6kbkf3qOeisHAo7R/vzFiWxfXr17kA5fTp05BKpc0eY2dnB39/f/j7+0MgEFATR0II0UMUlOgZCkqal1WShSPZim1e5yTnmk2C9rbzRpBrEOa5zcPwfsPpTqueExeIEZ4QjqPZR8GC5apyMWAQ5BaETZM20QqJHqqvr4dYLOYqeyUlJaGuruntmwDg4uICgUCAadOmYdq0aejXr5+WZksIIaS1KCjRMxSUqO9B5QPE3IzB4azDiL0ZC2lt03dbHS0cMc91HoLcgjBl4BQYG1CTN30lKZVAmCtEWU0ZzI3NIRgkoKT2LqSiogJnz57lVlIuXbrU4jHDhg3DtGnTIBAIMGXKFFhaWmphpoQQQjRBQYmeoaCkdWpltTiTd4ar5nW79HaTY3sZ9cIM5xkIcAnAXJe5GGDWsDwxIaRzKCoqwunTp3Hq1CkIhULk5OQ0O55hGIwePRoCgQACgQATJ06EmZmZlmZLCCGkKRSU6BkKStqOZVlkFGXgcNZhHMk+ggsFF5odP3bAWAS6BiLAJYCqeRHSyd2+fRunT5+GUCiEUChEQUFBs+MNDAzg5eXFBSkTJkxAjx49tDRbQgghShSU6BkKStrfvfJ7iM6OxuHswziVcwqVdZVNju3fsz/musxFoGsgZjjPgJkx3WElpLNiWRY3b97kApTTp0836DT/LGNjY0yYMIELUry8vGBkZKSlGRNCSPdFQYmeoaCkY1XXVyM+Lx5Hs48i+kY08h7nNTnWkGeIKU5TEOASgEDXQAzpM0R7EyWEaIxlWVy9epULUs6cOYPHjx83e4ypqSkmTZrEJc6PGTMGfD5fOxMmhJBuhIISPUNBifawLIvM4kxE34jG0eyjSMxPbLaal2tfVwS6BCLQNRATHSfCkG+oxdmS7kxSKkFcThyktVKYGZnB39mfkvvVIJPJkJ6ezq2iJCQkoKKiotljLCwsMGXKFC5xftiwYeDxaEsnIYS0FQUleoaCEt15WPUQx28ex9EbRxF7M7bZpo3mxuaYNXgWAlwCMMdlDvr1pJKkpP2JCkQITwhHdHZ0gzLIga6BCJscRmWQNVBXVwexWMzlpCQmJqKmpqbZY6ysrLjSwwKBAK6urlRenBBCWoGCEj1DQUnnUC+vR/KdZERnR+PojaPIKMpociwDBt523lyy/CibUfShhbSZug0jI5+LRPDQYB3MUP9VV1fj/PnzXJBy4cIF1NfXN3vMgAEDMG3aNEydOhVTpkyBi4sLXe+EdGESiQRxcXGQSqUwMzODv78/HB1ppbo1KCjRMxSUdE63H99G9I1oRN+IRlxOHGpkTd9dtTOz45Ll/Qf5o6dRTy3OlHQFogIR/Hb6QSaXgUXT/ywzYMDn8ZG0IolWTNpBeXk5zp07xwUpqampkMub3tIJKIKUKVOmcEGKm5sbBSmEdAEikQjh4eGIjo4Gy7Lg8XiQy+VgGAaBgYEICwuDlxf9u6sJCkr0DAUlnV9lXSWEuUIuWf5O2Z0mxxrzjTHVaSrmuszFXJe5lCxP1DLvt3k4duNYoyskz+IzfAS4BuDQokNamFn38vjxYyQkJHCJ81euXGnxmP79+6sEKUOHDqUghRA9c+DAAYSE/LlSLWtkpZr/50p1ZCSCg2mlWl0UlOgZCkr0C8uyuHz/MhegJN9JbvbO9pA+QzB3iCJAmeI0BSYGJlqcLdEHklIJnL50avbn6FkMGOS9kUfJ7x2suLgY8fHxOHPmDOLj43H16tUWj+nXrx8mT56MqVOnYurUqfDw8KAghZBOTCQSwc/PDzKZDM19LGYYBnw+H0lJSbRioiYKSvQMBSX6rbiiGLE3Y3H0xlEcv3kcpTWlTY7tYdADgkECzBkyB3Nd5mKQ5SAtzpR0VhFpEVhxeIXmx82PQOio0PafEGlScXExEhISuCBFnZUUKysrTJkyhVtN8fT0pOpehHQi8+bNw7FjxxpdIXkWn89HQEAADh2ilWp1aPIZ10BLcyKky7LuaY2lI5di6cilqJPVITE/EcduHEPMzZgGyfJV9VVcngpiALe+bpjrMhdzhszB5IGTYWxgrKN3QXRJWivlqmypi8fwUFZT1oGzIo2xtrbGX/7yF/zlL38BAJSUlODs2bPcasrly5cb3GktKSnB//73P/zvf/8DAPTp00clSBk+fDgFKYToiEQiwdGjR5tdIXmaTCbDkSNHIJFIKPm9nellUMKyLNLS0iAUCpGSkoKcnByUl5fDzMwMHh4eWLBgAYKCgjRaLpfJZEhOTkZ8fDzS0tKQl5eH6upq9O7dG8OHD0dISAimTp3acW+KdAmGfENMdZqKqU5T8Z8Z/4GkVILYm7E4duMYTuWcQkWdar+ErAdZyHqQhS+Sv0BPw54QDBJwQcrA3gN19C6ItpkZmWkUkACAnJXD3Ni8g2ZE1GVlZYWFCxdi4cKFAICHDx+qBCnp6ekNPuw8fPgQf/zxB/744w8AgKWlJSZPnswFKSNGjKBmjoRoSVxcnNoBiRLLshAKhQgNDe2YSXVTehmUJCcnq/wgODg4wM7ODgUFBUhMTERiYiKio6Oxbds2GBkZqXXOAwcOYNOmTQAAHo8HR0dH9OzZE7dv3+YSHkNCQvCvf/2L9gYTtTlaOGL12NVYPXY1auprcE5yjltFuVZyTWVsRV0FjmQfwZHsIwAAD2sPzB0yF3Nc5mCi40QY8dX7WSb6x9/ZHwwYjXNKBIMEHTgr0hp9+vTB/PnzMX/+fADAo0ePcO7cOcTHxyM+Ph7p6ekNqns9evQIhw4d4raDWFhYqAQpo0aNoiCFkA4ilUq5Klvq4vF4KCujler2ppdBCcuysLe3x/LlyxEQEIC+fftyzx08eBBhYWGIj4/HV199hXfeeUft87q5uWHp0qWYPXs2zMzMAAD19fXYvXs3Pv30U0RGRsLd3R0vvvhiu78n0vUZGxjD39kf/s7++HzW58h7nIeYGzE4dvMYhLlCVNZVqozPLM5EZnEmPjv/GXoZ9cJ05+lckGJvbq+jd0E6gqOFIwJdAzWuvkVJ7p2fpaUlgoKCEBQUBEBR3evcuXNcTkpjJYhLS0tx5MgRHDmiuEFhbm6OSZMmcUHK6NGjYWCgl7++Cel0zMzMNApIAEAul8PcnFaq21u7Jbrn5uYiPT0dRUVFePjwIWpqatC7d2/06dMHgwcPxpgxY9CjR4/2eCmUl5fD2NgYhoaGjT7/ww8/4IsvvkDv3r1x/vx5tfbqPn78GBYWFk2ugoSFhSEqKgru7u7tntxEie6kur4aCbcTuCAl+0F2s+OH9xvOJcv7OvjCkN/4tUD0h7hADN+dvtSnpJspKytTCVJSUlJaTLbt1asXfH19MWnSJEyePBne3t4wMaGqfoS0hkQigZOTk0ZbuBiGQV5eHuWUqEFr1bfS0tIQFRWFs2fP4sGDB82O5fP58PT0RFBQEObPn8+tRHSEzMxMbn9vYmIirKys2nzOkydPYv369TA2Nsbly5fbfL6nUVBCnnXr4S3E3IzBsRvHcDrvNKrrq5sca25sjhnOMzBnyBzMHjIbduZ2WpwpaU/qdnSPei4KC4cu1MEMSUeTSqVITEzkgpSLFy+22HHeyMgIXl5emDx5MiZNmgRfX19YWFhoacaE6D+qvtVxOjwoOXToEH766SfcvHlTJbI0NTVF79690bt3bxgbG6O0tBSlpaV49OgRtzTGMAxMTEwQEBCAdevWYcCAAZq+fItSU1OxePFiAEBKSgp69erV5nMeOXIEb7/9Nnr37o0LFy60+XxPo6CENKeqrgrxefFckHLr0a1mxw/vNxyzBs/C7CGzMdFxIlX00jPiAjHCE8JxNPsoWLBcVS4GDILcgrBp0qYuv0IiKZUgLicO0lopzIzM4O/s3223qpWXlyMpKYkLUkQiUYtBCo/Hw8iRI7mVlEmTJqFfv35amjEh+kcsFsPX15f6lHSADgtKLly4gE8++QTXrl0Dy7KwsLDArFmzMG7cOIwcORIDBzZeLaiiogIZGRm4dOkShEIh0tPTAQDGxsZYtmwZXn311XYJHJTCw8Oxd+/edt1q9de//hWnT5+Gv78/vvvuu3Y5pxIFJUQTNx7c4JLl4/PiUSOraXKsqaEppjlNw+whszF7yGzqLq9HJKUSCHOFKKspg7mxOQSDBF3+g7moQITwhHBEZ0c3CMgCXQMRNjmsywdkLamsrMSFCxeQkJCAs2fP4vz586isrGzxODc3N5UgZeDAgVS0hZCnqNvRPSoqituNQ1rWYUGJu7s7AGDixIlYtGgRpkyZ0mReR3Py8/Nx6NAh7N27F6WlpVi/fj3WrVun8Xkak5GRgZCQENTX12Pr1q0ICAho8zlPnTqFdevWgWEY/PrrrxgzZkyLx+zbtw9RUVFqnf/WrVuorq6moIRorKK2AvF58VyQkvs4t9nxzpbOmD14NmYNmYVpTtNgZtxx2ygJ0YS6W9cin4tE8NBgHcywc6qrq0NqairOnj2LhIQEnDt3Do8ePWrxOAcHB5UgZejQoRSkkG5PLBYjPDyc61uirMrFMAyCgoKwadMmWiHRUIcFJatWrcKGDRswcuTINk8SAKqqqrB3716YmppiyZIlbT5fSUkJnn/+eRQWFmLGjBn45ptv2nzOW7duISQkBFKpFKGhofj73/+u1nHbtm3T+PUpKCFtwbIsbj68idibsYi9FYvTuadRVV/V5HhDniH8HP0we7BiFWVE/xH0oYTohKhABL+dfpTk3w7kcjkyMzO5lZSEhAQUFha2eFzfvn0xadIkLlAZNWoUVfgi3ZZEIoFQKERZWRnMzc0hEAgoqb2VtJbo3plIpVIsW7YMmZmZ8PT0xJ49e9q8Jezu3bt48cUXUVhYiClTpuDbb79Ve2WIVkqIrlXXV+Oc5ByO3zyO2FuxDbrLP8umlw1mDZ6FWYNnYcbgGbAybXuBCELUMe+3eRqXQz60iJJM1cGyLHJzc7kA5ezZs7hx40aLx1GFL0JIe+h2QUlFRQVWrFiB9PR0uLi44Oeff4alpWWbzllcXIyXXnoJeXl58Pb2xk8//QRj445JGKacEqINd8ru4MStE4i9GYuTOSfxuPpxk2MZMPCy8+IS5r3tvGHAo7umpP1JSiVw+tJJ48aReW/kdfkcm45y7949nD17lgtULl++3GI5VKrwRQhpjW4VlFRVVeGVV16BWCyGk5MT9u7dC2tr6zad88GDB1i6dClu3bqF0aNHY8eOHejZs2c7zbihbhWUSCRAXBwglQJmZoC/P0BLolpXL6+HuECM2JuxOH7rOEQFomY/FPY26Y3pztO5fBRq3kjaS0RaBFYcXqH5cfMjEDoqtP0n1A09fvwYiYmJXKAiFotRV1fX7DFPV/iaOHEi/Pz8YGtrq6UZE0L0hSafcfX61mdNTQ3WrFkDsVgMOzs77Nq1q80ByePHj/Hyyy/j1q1b8PT0xPbt2zs0IOk2RCIgPByIjgZYFuDxALkcYBggMBAICwMoeUxrDHgGmOAwARMcJuBf0/6FB5UPcDLnJI7fOo7Ym7G4V35PZfzj6sfYn7kf+zP3AwA8rT0xe8hszBo8C5MGToKJAW3rIK0jrZVyVbbUxWN4KKsp68BZdS+9e/dGQEAAVximsrISIpFIpcJXRUWFyjFyuRxpaWlIS0vD119/DQAYNGgQ/Pz84Ofnh4kTJ8LDw0Ot5sWEEAK0c1Aik8mQl5eHsrKyFuuot7V6QV1dHTZs2IDz58+jf//+2L17d5t7npSXl2PFihXIysqCq6srduzY0aFNHruNAweAkBBFMKJcmPuzbw1YFjh2DIiJASIjgWCqqqMLfU37YtGwRVg0bBFYlsWVoivcKsrZ22dRJ1e9a3q1+CquFl/F5+c/Rw+DHpjqNBUznGdg5uCZ8LD2oIR5ojYzIzONAhIAkLNymBubd9CMiKmpKaZOnYqpU6cCUPy+TUtL41ZSzp49i4cPHzY4Ljc3F7m5udi7dy8ARbAzYcIEbiXFy8sLpqam2nwrhBA90i7bt+7du4etW7fi5MmTqK5uuvM096IMg8zMzFa/nkwmw5tvvonjx4/D2toaP//8MwYNGqTWsQKBAADw7rvvYvbs2dz3q6qqsHLlSqSkpMDZ2Rl79+5F3759Wz1HTXTp7VsiEeDnB8hkTwKSxjAMwOcDSUm0YtLJlNeW43TuaW4VpaXmjbZmtpg5eCZmOM/AdOfp6NeTmraRplFOif6Ry+W4du0aV4I4MTERt2/fbvE4AwMDjBkzhgtS/Pz80L9/fy3MmBCiK1rdvpWfn4/FixfjwYMHLSbKKbU1DoqJicHx48cBKJLv3n///SbHhoWFwcPDg/u6oKAAABo0m9qzZw9SUlK4r9evX9/kOb/++us2bxPrNjZvVl0haYpyzObNQDs1vCTto5dRLwS5BSHILQgAcPPhTa6i1+nc06ioU93WUSgtxK70XdiVvgsAMNpmNLeK4ufoR1u9iApHC0cEugZqXH2LAhLd4fF48PT0hKenJ9asWQMAuHPnDhITE5GYmIhz587h0qVLkMtVV8Dq6+shEokgEomwdetWAMCQIUNUtny5ubnRli9Cuqk2ByVbt25FSUkJ+vTpg40bN2LixImwsrICn89vj/k1qra2lvtzQUEBF2g0RiqVanzOnJycZsfW1DTdQZs8RSIBjh5tOSBRksmAI0cUx1Hye6c1pM8QDPEegnXe61BTX4PE/EScvHUSJ3JOIPVuaoPxaffSkHYvDf9J+g96GPTAFKcpXJDiae1JW70IwiaHIeZmDBiWabFPCcMw2DRpkxZnR9Rhb2+PkJAQhISEAFD87r1w4QIXpCQnJ6O8vLzBcTdv3sTNmzexe/duAECfPn3g6+vLraaMGzeOShET0k20efuWj48PysrKEBERgfHjx7fXvLqVLrt9KyICWKF5VR1ERAChoe0+HdLxiiuKEZcbhxO3TuDErRMokDZ9wwAABvQagBmDZ2Cm80xMd56O/r1oK0d3pW5H96jnorBw6EIdzJC0RX19Pa5cucJt9zp37lyzNxSVjIyMMG7cOG41xc/PD1ZW1EOJEH2h1ZLAo0ePBgCkpaW15TTdWpcNSr7+GnjzzSdJ7erg8YAvvgBee63j5kW0gmVZXC+5rghQck4gPi8elXWVzR4zsv9IzBw8EzMHz8REx4m01aubEReIEZ4QjqPZR8GC5apyMWAQ5BaETZM2dZtO7pJSCeJy4iCtlcLMyAz+zv5dassay7KQSCRcgJKYmIgrV66otb3bzc2N2+7l5+cHFxcXWnElpJPSak6Jvb098vPz23oa0hWZmWkWkACK8eZUVacrYBgGQ62HYqj1ULw+/nXU1Nfg/J3z3CpK6t3UBlt1Lt2/hEv3L+HTpE9hYmCCyQMnY6bzTMwYPAPD+w2nDx5dnJedFw4vPgxJqQTCXCHKaspgbmwOwSBBl/pA3hxRgQjhCeGIzo5uEJgFugYibHJYlwjMGIbBwIEDMXDgQLz44osAgNLSUiQnJ3NByoULFxrkfwJAVlYWsrKysHPnTgCAtbW1ypavMWPGdFizY0JIx2nzSsl3332Hbdu2YefOnZgwYUJ7zatb0elKSUYGsGmTIsF82LD2PbdEAjg5qZ9TAiiqcOXlUU5JN1BSWYK4nDhuJeVO2Z1mx9v0ssEM5xmKx+AZsOllo6WZEqId6m5hi3wuEsFDu3759Lq6OqSnp6sk0N+7d6/F44yNjTF27FhMmDABvr6+mDBhQptbBhBCWker27eqq6uxePFiSKVSREREwMHBoS2n65Z0GpRs2QL8/e+K/773Xvuff948RR8SWctVdcDnAwEBVH2rG2JZFlkPsrhVlPi8+AZVvZ41ov8ILkiZNHASTA2p/wHRX6ICEfx2+kEml7WY7M/n8ZG0IqlLrJhogmVZ5Obmqmz5unr1qlrHDhw4kAtQJkyYgJEjR8LQ0LCDZ0wI0WpQAii6oIeFheHcuXOYNWsWhg8f3mIX9AULFrT1ZbsMnQYlM2cCJ08q/vtnmeV2JRYDvr7Up4RopFZWi/P5iq1eJ3NO4mLhxWY/qBnxjeDr4Av/Qf6Y7jwd42zHwYDXrr1hCelQ836bp3FZ5EOL6AbOw4cPcf78eW41RSQSqdUvrUePHvDy8uKClAkTJqBfP+qpREh703pQcvXqVWzevBlpaWlq7flua/PErkZrQUlBAXD//pOvWRaYOBGorgZMTIBz5xTBgVL//oCdXdtf9+mO7o2tmPD5iteNigIWUlUd0tCDygeIy43DyVsncfzWceSXNZ/HZm5sjmlO0zDdeTr8B/nD3cqd8lFIp0UNJNtPbW0t0tPTcf78eSQlJeH8+fNq570OHjyYC1B8fX0xbNgwGBjQzQ1C2kKrQcn169fx4osvoqqqCizLwsjICJaWli32KREKhW152S5Fa0HJ5MnA2bOq32MYRbCg/O+z48+caZ/XFouB8PAnfUt4PEVSO8MAQUGKvBZaISFqYFkW2Q+yceLWCZzKPYXTuachrW2+H5GtmS2mO0/H9EHT4e/sD1szWy3NlpCWRaRFYMVhzcunR8yPQOio0PafUBdz584dnD9/nnukpKSgrq6uxeN69uwJb29vbtvX+PHj0bdvXy3MmJCuQ6vVt7Zt24bKyko4ODggPDwc3t7e1I21s1q1ShEc1NQ8CUCe/S+gCBSMjYGVK9vvtb28gMOHFcnvQiFQVqaosiUQUFI70QjDMHCzcoOblRs2+GxAvbwe4gIxTuWcQlxuHJLyk1AnV/3AUSgtxJ5Le7Dn0h4AwFCroYogxXk6pgycAgsTC128FUIAANJaKVdlS108hoeymrIOnFXXYW9vj+effx7PP/88AEUubGpqqspqyt27dxscV1FRgdOnT+P06dPc91xdXVVyUzw8PDq0WTQh3UmbV0p8fX3x6NEj/P777xjW3tWbugmt5pRkZiq2SN282Xi5Xh4PcHFRbLny8OjYuXQVEgkQFwdIpYoyyP7+FGjpUEVtBc5KznJBSvq99GbH8xk+vO28uXyU8fbjYWxA5USJ9tBKiW4pe6YoA5Tz588jPT0d9fX1LR5rbm4OHx8fLkgZP348evfu3fGTJkRPaL15IsMwSE1NbctpujWtJ7pXVChyPKKjGz4XGAhERgKmVMmoRSKRYktadHTDLWmBgUBYGG1J6wSKK4ohzBXiVM4pnMw5idult5sdb2poiskDJ3NByoj+I8BjaPWXdBzKKel8KisrcfHiRS5ISUpKQnFxsVrHenh4qJQjdnNzox0kpNvS6vatgQMHIicnBzKZjJYw9YWpKVBU9ORDtBKPp0iE79FDd3PTF08n7yvjeuX/S5ZVlEGOiVEEeMFdv59AZ2bd0xohw0IQMkzR/yHnUQ7icuO4lZSHVQ9VxlfWVSL2Zixib8YCAKxMrbgAZbrzdDj1dtLBuyBdmaOFIwJdAzWuvkUBSccxNTXF5MmTMXnyZACK1ZScnByVLV+XL1+GvJEdB5mZmcjMzMSOHTsAAL1798b48eO5h7e3NywtLbX6fgjRB21eKdm1axe2bNmCbdu2YcaMGe01r25F6yslx48Ds2cr/mxiAqxZA3z/vaIKl/L5mTM7fh76SiQC/PyozHEXIGflSL+XjricOJzKPYWE2wmorm++nKizpTOmD1IEKNMGTYOVqZWWZku6MnGBGL47falPiR4pLy+HSCRSSaJ/+PBhywdCkZsyfvx4+Pj4wMfHByNGjKC+KaRL0ur2LZlMhpUrVyIrKwvfffcdRo8e3ZbTdUtaDUpYFvDxUSS8u7k9yR1R5ppkZys+QF+4oFoemDxBDSG7rOr6apzPP8+toogLxS0mH4/sPxKCQQIIBgkweeBkmBuba2m2pKtRt6N71HNRWDiUyqd3NizLIjs7W2XL19WrV6HOxywTExOMHTuWC1LGjx8PBwcHKmVO9J5Wg5JvvvkG9fX1+PXXXyGVSjF27Fi1mieuX7++LS/bpWg1KKmtVeQ72NsD33yjmjtSUQGsXw8UFipK99Jdm4YkEsDJqfkVkmcxDJCXR8nveuhx9WPE58XjVM4pnMo5hawHWc2O5zN8jLMdh2lO0yAYJICfox91micaEReIEZ4QjqPZR8GC5apyMWAQ5BaETZM20QqJHiktLeVWUy5cuIDk5GS1V1NsbGxUgpRx48bBzMysg2dMSPvSalDi7v6kKZnyVOpE9teuXWvLy3YpWt++pexL0trnu7OICGCF5lVyEBEBhIa2+3SIdt0pu8Nt9TqVcwr3yu81O96QZ4gJDhMgcFKspPjY+8CIb6Sl2RJ9JimVQJgrRFlNGcyNzSEYJKAcki6AZVncunULFy5c4IKU9PR0tfqm8Hg8eHh4qGz7opLEpLPTaqK7F+2V1z8tBRwUkDRNKm1YIKAlPJ6iLwvRe/bm9lg+ajmWj1oOlmWR9SALwlwhhLlCnM473SBpvk5eh4TbCUi4nYB/nvknehj0wETHidx2rzEDxsCARx2jSUOOFo5U7rcLYhgGQ4YMwZAhQ7BkyRIAir4p6enpSE5O5oKV3NzcBsfK5XJkZGQgIyMDP/30EwCgV69e8PLy4oIUHx8fDBgwQKvviZD20ubfhj///HN7zIMQ/WBmpllAAijGm1OeQVfDMAzcrdzhbuWOtV5rIWfluHz/MhekJNxOaNBpvqq+CidzTuJkzkkAgLmxOaYMnMIFKcP6DaPyw4R0MyYmJlxlLqWioiIuQLlw4QJEIhHKGrm5VV5e3qDBo6OjI7fly8fHB2PGjEEPqqpJ9IDG27fOnz8PHx8fqrndjrS+fYu0HuWUEDXVy+uRUpiiCFLyhDgnOddiZS8rUytMdZrKbfdy7etKia6EEMjlcly/fl1l29eVK1caLUn8LAMDA4wYMUJl25eLiwt9jiNa0aE5Je7u7rCwsMCUKVMgEAgwefJkmFKjvTahoETPUPUt0go19TVIvpPMBSkX7lxAnbz5feS2ZraKVZQ/g5SBvQdqabaEkM6uoqICKSkpKtu+CgoK1DrW0tIS3t7eXJDi5eUFa2vrDp4x6Y46NCiZP38+srIUFWgYhoGhoSEmTJgAgUAAgUBAP9StQEGJnhGLAV9f6lNC2qSitgKJ+Yncdq+Uuyktlh92tnSGwEmAaYOmYZrTNAwwo73jhJAn7ty5o7Lt6+LFi6isrFTrWCcnJ3h5ecHb2xteXl4YO3YsevXq1cEzJl1dh1ffKiwsRFxcHE6dOoWUlBTU19eDYRgwDINhw4Zh+vTp8Pf3x+DBg1v9JroTCkr00NMd3RtbMeHzFUFJVJSi/wshLXhc/RgJtxO4IOVK0ZUWj3G3csfUgVMx1WkqpjhNgU0vGy3MlBCiL+rr65GRkcFt+bpw4YLa1U95PB6GDh2qEqiMGDECRkZUQZCoT6slgcvKyhAfH49Tp07h3LlzqKys5PZAOzo6wt/fHwKBAGPHjqW90U2goERPicVAeLiipwvLPqnKxTBAUBCwaROtkJBWK6ooQnxePE7nnoYwT4jsB9ktHjPUaiimOv0ZpAycgv69+mthpoQQfVJaWgqxWMwFKSKRCEVFRWoda2RkhFGjRqkEKm5ubpSfQpqk1aDkabW1tUhOTsapU6dw+vRpFBcXK16EYWBpaYlp06ZBIBBg4sSJMDY2bq+X1XsUlOg5iQQQChVlf83NAYGAktpJu7tTdocLUOJy4pBflt/iMRSkEEJawrIs8vPzIRaLIRKJIBaLcfHiRUil0pYPBmBmZoZx48bBy8uLC1aoGz1R0llQ8qzLly/j1KlTiIuLw61btxQvyDAwMTGBr68v/P394e/vDwsLi46agl6goIQQogmWZZHzKAdnbp9RrKbkncadsjstHkdBCiFEHXK5HFlZWSqBSnp6Ompra9U6vl+/ftxKivJhZWXVwbMmnVGnCUqedvv2bS4PJT09HXK5HAzDYN26dVi/fr02ptBpUVBCOh2JBIiLUzSLNDMD/P1p9acTUwYp8XnxiL8dj/i8eApSCCHtqra2FpcvX4ZYLOaClczMTKj7MXLQoEEq277GjBlDifTdQKcMSp728OFDCIVCCIVCjB07FitXrtT2FDoVCkpIpyESKfJkoqMb5skEBgJhYZQnoweeDVJO555GgbTlUqEUpBCiO5JSCeJy4iCtlcLMyAz+zv5wtOjcN4OkUilSU1NVApW8vDy1juXxePDw8FAJVIYPH06J9F1Mpw9KiCoKSkinoG5FschIIDhY+/MjrUZBCiGdl6hAhPCEcERnR4MFCx7Dg5yVgwGDQNdAhE0Og5ed/twMKi4uxsWLF7ltXyKRiMsxbomxsTGXSK8MVlxdXSmRXo9RUKJnKCghOicSAX5+1Hulm6AghZDO4cC1AwjZHwKWZSFjG94M4jN8MAyDyOciETxUP28GsSwLiUSikp+SkpKiUSL9mDFjMHbsWIwbNw5jx47FkCFDKFDREx0alIjF4jZNTsmLPtBwKCghOkdd6ru1tgQpUwZOweSBkzF54GTYmdtpYbaEdA2iAhH8dvpBJpeBRdMfxRgw4PP4SFqRpFcrJs2RyWRcIr0yWLl06ZLaifTm5uYYM2YMF6SMGzcOgwcPpopfnVCHBiXu7u5t/ktnGAaZmZltOkdXQkEJ0SmJBHByan6F5FkMA+TlUfJ7F9XaIMXZ0lklSBnUexB9SCCkCfN+m4djN441ukLyLD7DR4BrAA4t6ro3g2pqanDlyhVuNUUsFmuUSG9hYYGxY8eqrKg4OzvTv0E6pslnXIPWvADt+CKkC4mL0ywgARTjhUIgNLRDpkR0i2EYDO4zGIP7DMbKMSvVDlJyHuUg51EOItIjAAB2ZnZcgDJl4BS4W7X9phYhXYGkVIKj2UebXSF5moyV4UjWEUhKJZ0++b21jI2NMW7cOIwbN477nlQqRXp6OlJSUnDx4kWkpKQgKyur0c+hpaWlXBElpd69ezcIVAYNopslnZXGQUlcXJzGL/Lw4UN89913iI+Pp4CGkM5GKn1SZUtdPJ6iWSTpFhoLUm49uoWE2wlIuJ2AM7fPIO9xXoPjCqQF+C3jN/yW8RsAwMrUShGkOCoClRH9R4DP42v53RCie3E5cWoHJEosWAhzhQgdFdoxk+qEzMzMMGnSJEyaNIn7nlQqRVpaGhekXLx4EdnZ2Y0e//jxY8TFxal8drW0tFQJUsaNG4eBAwdSoNIJaByU2Nmpv2e4qqoKO3fuREREBCoqKsCyLJydnfHWW29p+rKEkI5iZqZZQAIoxpubd8x8SKfHMAyG9BmCIX2GYMXoFQAUd37P3j6rCFQkCbhecr3BcSWVJThw7QAOXFMs4VsYW2Ci40RuNWXsgLEw5Btq9b0QogvSWilXZUtdPIaHshq6GWRmZobJkydj8uTJ3PdKS0uRlpamsqJy48aNRo9/9OgRTp06hVOnTnHf69u3b4MVFUdHRwpUtKxV27daIpPJsG/fPnz//fd48OABWJaFjY0N1q9fj+DgYKqY0FnI5cDWrYrKS97ewJw5gIeHIl+AdB/+/oq/c01zSgSCjpsT0TuOFo5YMmIJloxYAgC4X34fZyVnudWUy/cvN7gzXFpTiugb0Yi+EQ0AMDU0ha+DL7eS4m3njR6GPbT+XgjpaGZGZhoFJAAgZ+UwN6abQY2xsLDA1KlTMXXqVO57jx8/brCicuvWrUaPf/DgAU6cOIETJ05w37OysmqwomJvb0+BSgdq95LA0dHR+Oqrr5Cfnw+WZWFhYYFXXnkFS5cuhbGxcXu+VJehs0R3sVgRjDzN0RGYPRuYO1fxodPMTHvzIbpD1bdIB3tU9QiJ+Yk4k3cGCZIEpBSmtJjga8Q3gredN5c8P8F+AsyM6d8kov8kpRI4femk0RYuBgzy3sjrsjkl2vDo0SOkpqaqrKjk5OSofby1tbVKkDJ27FjY2dlRoNIMnfQpOXfuHLZu3Ypr166BZVmYmJjgpZdewurVq2Hezts8WJZFWloahEIh9wNVXl4OMzMzeHh4YMGCBQgKCmr1D8nx48exd+9eXL9+HXV1dRg4cCDmzZuHZcuWwdCw/bcW6CwoKSwEBg8Gqqsbf97QEJg0SbGCQqsoXZtYDPj6Up8SojXlteU4n3+e2+514c4F1Mhqmj2Gz/AxZsAYbrvXJMdJsOxhqaUZE9K+qPpW5/Dw4UOkpqaqrKio25UeAPr164cxY8Zwj9GjR1My/VO0GpRcuXIFn3/+OS5cuACWZcHn8xEcHIz169ejf/+Oaax1/vx5hD5V9cfBwQHm5uYoKCjA48ePAQBTp07Ftm3bYGRkpNG5P/nkE+zcuRMA4OjoiB49euDmzZuQyWTw8vLCzp07NT5nS3RaEvjmTWDXLiAmBkhNbX6sg8OTAMXfn1ZRuhp1O7pHRQELF2p/fqRLq66vhqhAxG33SspPQkVdRbPHMGAwvP9wTHKchImOEzHJcRL1SiF6Q1wghu9O327Zp6Sze/DgAVJSUlRWVG7fvq328b1798bo0aMxevRoLlhxdXUFn9/9CntoJSi5ffs2tm7dihMnTnAVtWbMmIE333wTzs7OrTml2pKSkhAWFobly5cjICAAffv25Z47ePAgwsLCUFtbi1WrVuGdd95R+7wnT57E+vXrYWRkhC+//BL+/v4AgFu3bmH16tW4c+cOXn75Zfztb39r1/fTafqU3LsHHD+uCFBOnAAePWp6rKEhMHHikyDF05NWUboCsRgIDweOHlUEJ8qqXAwDBAUBmzbRCgnRijpZHdLupXHbvc7ePovSmtIWj3Pq7cQFKBMdJ8Ldyh08hvIYSeekbkf3qOeisHAo3QzSpZKSEpUg5eLFi8jPz1f7eFNTU4wcOVJlRcXT07Pdb3R3Nh0alBQXF+Obb77B//73P9TX1wNQdGd/++23MXLkyNbPWgPl5eUwNjZucivVDz/8gC+++AK9e/fG+fPn1U6snz9/Pq5fv45169bhtddeU3lOuTpjZGSEM2fOoE+fPm1+H0qdJih5Wn29IgE+JkbxSElpfryDgyIXRbmKQpWZ9JtEouhDUlam+LsUCPS/UaJEoujJIpUqVvn8/fX/PXUjMrkMGUUZXAnihNsJKK4sbvG4Pj36YKLjREx0mIiJjhMx1nYsjPhd+0MA0S/iAjHCE8K5viXKqlwMGAS5BWHTpE20QtJJFRUVIS0tDampqdx/m0qmb4yhoSGGDx+usqIyYsQImJqaduCstatDg5JRo0ahpqYGLMvC3d0db731lkpZts4gMzMTC//cXpKYmAgrK6sWj8nLy8OsWbMAAAkJCY1uPZs5cyZu376NzZs34/nnn2+3+XbKoORZ9+8/WUU5frz5VRQDA9VVlGHDaBWF6I5IpFj9iY5uuPoTGAiEhdHqjx5iWRZZD7KQcDsB5yTncE5yDrmPc1s8zsTABD52PtxqygSHCVTRiHQKklIJhLlClNWUwdzYHIJBAkpq10OPHz9Geno6F6Skpqbi+vXrkKtZep/H48Hd3Z1bTRkzZgxGjRqF3r17d+zEO0iHBiXu7k868g4YMKBViTwMw6jUh25vqampWLx4MQAgJSUFvXr1avGYgwcP4r333oODg0OTc/v73/+OAwcO4Pnnn8fmzZvbbb56EZQ8TdNVFHv7JxW9aBWFaJO6eTKRkUBwsPbnR9rVnbI7SJQk4pzkHM5KzjZahvhZPIaHEf1HcNu9JjpOhK2ZrZZmTAjpDiorK3H58mWVFZUrV66grq5O7XM4Ozs3SKjv169fB866fWjyGbdVfUqUcUxhYWFrDu/wigTR0Yqa9+7u7moFJAC4SguOzWznUD6Xm9vy3bguzcBAUanJ11dxB/rpVZQTJ4CHD1XH37kD/PST4qFcRZk9W/EYMYJWUUjHEIkUAUlzFcVkMsXPX0gIVRTrAuzN7REyLAQhw0IAAKXVpTh/5zzO3j6Lc/nnGq3wJWflSL+XjvR76dgm2gYAcLZ05rZ8TRo4CW593aiSDiGk1UxNTTF+/HiMHz+e+15tbS0yMzO51ZTU1FRcunQJlZWVjZ4jJycHOTk52L9/P/c9Ozs7lRWVMWPG6HUvFY2DkvXr13fEPNpNRkYG9u3bBwBYvXq12seVlioSKC0sLJoco3yurKzljqr79u1DVFSUWq+tyf7DTql/f2DZMsVDJlNdRbl4UXVsfT0QH694/O1vgI0NMGuW4jFjBqDGVjtC1LJ5syIYaWkxWDlm82bqvdLFWJhYYPaQ2Zg9ZDYAoKa+Bil3U7jtXuck5/CouuFW1JxHOch5lIM9l/YAAKxMreDn4MetpowZMIY6zxNC2uRe1T2ksWko9yzH2NFj8e6H78Kulx2ys7NVVlRSU1O5z6jPKigoQEFBAY4cOcJ9r2/fviqrKWPGjMHgwYP1onF5lwpKSkpKsGHDBtTX12PGjBkICAhQ+9iaGsXds+b6kCgrJFQ31dfjKcXFxbh69arar99l8PnAhAmKx7//DRQVqeaiPLuKcu8esHu34sEwwNixT4KU8eMVVb4I0ZRE8qSCmDpkMuDIEcVxlPzeZRkbGMPXwRe+Dr541+9dyFk5rhVf47Z7nZOcw+3ShmU/SypLcCjrEA5lKYLWHgY9MN5+PLfdi5o6EkLUJSoQITwhHNHZ0Q0KGwS6BiJschiWLFmCJUuWAFDsTsrLy+MClLS0NKSkpKCoqKjR8z948AAnT57EyZMnue/17dsX33//fbvmQ3eEVm3f6oykUileeeUVFBYWwtPTE1u2bNHoeGW3+eb299XW1gIATExMWjyftbU1PD091XrtW7duqRXo6KV+/YClSxUPmUxRcjYmBoiNVfz56Q+NLKtYWbl4EfjwQ0Xuib//kyDFyUlnb4Pombg49QMSJZZVVBx7qgcS6dp4DA+e/Tzh2c8Tr457FQCQX5r/ZCUl/xyu3L/SIC+lqr4Kp/NO43Teae48o2xGwc/BD34OfvB18IWDhYPW3w8hpHN7ugS08t8VOatIgGfB4tiNY4i5GYPI5yIRPFSR58gwDAYNGoRBgwbhL3/5i2Isy+Lu3bsNVlQkEkmjr/vgwQN8+OGHFJRoQ0VFBVatWoXMzEy4uLhgx44daueSKCm7zje1RPb0c+p0qF+0aBEWLVqk1msrk4C6PD5fsfoxfjzwr38BDx4AJ08qVlCOHwfu3lUdX1YG/PGH4gEArq6KPJRZs4ApU4CePbX/Hoh+kEqfVNlSF4+n+Jkj3ZqDhQMWD1+MxcMVxVIeVT1SyUsRFYhQK6tVOUbOypF6NxWpd1O5vBQHcwf4OvgqAhVHP4zoPwIGvC7xK5cQ0gqiAhFC9oc02yxTxsrAsAxC9oc02yyTYRjY2trC1tYWgYGB3PcfPHigEqSkpaUhOzsbgKLtRWfXrv9CymQy5OXloaysjOth0hSvdkooraqqwquvvor09HQ4OTkhIiIClpaWGp9n0KBBANBsx05lBOpEd+zbR9++wKJFigfLAhkZiuAkNhY4exaoVf3Fj+xsxePrrwEjI2DSpCerKMOHU8I8ecLMTLOABFCMp8pw5BmWPSwx12Uu5rrMBaDoPJ9SmMJt90rMT8Tj6scNjssvy0fk1UhEXo0EAPQ07Akfex/42vvCz9EP4+3Ho7dJby2+E0KILm1O2KyyQtIUFixYlsXms5txaJFmeY59+/bF9OnTMX36dO57ZWVlqKysbLTVRWfTLkHJvXv3sHXrVpw8eVKtbUgMwyAzM7PNr1tTU4M1a9ZALBbDzs4Ou3btgrW1davOpWz8eOfOHdy/f7/Rv7yUP0vfjho1qtVzJk1gGEVgMXw48PbbQEUFcObMk1WUrCzV8bW1ii06cXHAu+8CtrbAzJlPEub79tXN+yCdg7+/4mdKky1cDKNoEklIM0wMTODnqFj9ABSrJFeLruKc5ByS7iQhUZLYaL+UiroKCHOFEOYKAQAMGHj28+SCFD8HPzhbOutt1RxCSNMkpRKuOaY6ZKwMR7KOQFIqaXOvGnNzc7V2+HQGbQ5K8vPzsXjxYjx48ADqtjzRsDVKo+rq6rBhwwacP38e/fv3x+7duzFgwIBWn2/QoEFwdXVFdnY2IiMjG+3ofvv2bRgaGsLf37+t0yct6dlT0ddkruLuJPLyngQocXENt9kUFgK7dikeDAOMG/dkq5ePj6IUMek+HB0VjRGPHWu8P8mz+HwgIICS3InGeAwPw/sPx/D+w7HGaw0A4K70LpLyk5CYn4ik/CSk3k1FnVw1X5EFi4yiDGQUZeDH1B8BAP179ucS8f0c/DBmwBgYGxhr/T0RQtpXXE6c2gGJEgsWwlwhQkeFdsykOqE2f1LbunUrSkpK0KdPH2zcuBETJ06ElZUV+Hx+e8yvUTKZDBs3bsSZM2dgbW2N3bt3w8FBvaRCwZ93Qt99913Mnj1b5bn169fjtddew/bt2zFs2DBubE5ODjZt2gQAePHFF9GnT592fDdELU5OwKuvKh51dcCFC4ptXsePK5o3PpswLxYrHuHhgIWFasL8wIE6extEi8LCFEUVWloxYRjF489rnJC2GmA2AH/x+Av+4qFISq2qq8LFwotckJKUn4QHVQ8aHHe/4j7+uP4H/riuyKMz5htjnO04LkjxdfCFdc/W7QYghOiOtFbKVdlSF4/hoayme+U5tjkoSUpKAsMw2Lp1q0pTmI4UExOD48ePA1CU6X3//febHBsWFgYPDw/u64KCAgBotDnNrFmzsHz5cuzevRtr1qyBo6MjTE1NcePGDchkMowdOxYbN25s53dDNGZoqGjAOHGiordESYlqwvy9e6rjS0sVnb2VnURdXBRbvWbMAKZNozyCrsrLS9GpXZ2O7lFR+ts4USJRrB5KpYpcGn9/WvHpZHoY9sCkgZMwaeAkAIrdAlkPshSrKZJEJN1JwvWS6w2Oq5HVIDE/EYn5ifgUnwIAXPq4wM/Rj9v25W7lDh7T+fsPENKdmRmZaRSQAIqtoebG3evzSZuDktraWpiYmGgtIFG+ppKycUxTpFKpRud+//33MXr0aPz666+4du0aioqKMHjwYMybNw+hoaHN9jEhOmJlBSxerHiwLHD58pMA5dy5hgnzN24oHt9++6Qi2IwZikDFy4u2enUlwcGKTu3h4U/6liircjGMYsvWpk36GZCIRIr3FR3d8H0FBipWivTxfXUDDMPA3cod7lbuWDF6BQBFL5Tz+ee5bV/iQjGq6xvmaN54eAM3Ht7ArvRdAABLE0tMcJjAraR423nD1NBUm2+HENICf2d/MGA02sLFgIFgUPfKc2TYNiZ4BAUFIT8/H+np6e00pe5HWRLY09MTB5R380n7KC9XdI9XBik3bjQ/3sJCsXqiXEkZPJiqenUVEomiD0lZmWJ1TCDQ3xWFAwfUWwGKjFQEZkTv1MpqkXY3jQtSEvMTca/8XovHGfAMMMpmFCbYT8AE+wkYbz8eTr2dKIGeEB2b99s8HLtxDDK25TxHPsNHgGuAxtW3OiNNPuO2OSj57rvvsG3bNuzcuRMTJkxoy6m6LQpKtOj2bcVWrxMnFFtenu0w/ywnpycBikAAUD4R0TWRCPDzUwQjLeXK8PmKlSJaMdF7LMsi73Eel5eSmJ/YaGPHxvTv2R8THCZwgcpY27G0mkKIlokLxPDd6dtsnxJAsULC5/Gb7VOiT7QalFRXV2Px4sWQSqWIiIhQO+GcPEFBiY7IZEBamiJAOXkSSExUJNE3hcdTVPVSbvUaP17RL4UQbZo3T/OqYof0/24baaispgzJd5K5vJTkO8kory1v8TgDngFG9h+pCFL+DFZoNYWQjvd0R/fGVkz4DB8MwyDquSgsHLpQBzNsf1oNSgDg8ePHCAsLw7lz5zBr1iwMHz4cPVvotr1gwYK2vmyXQUFJJ1FeDiQkKAKUkyeBq1ebH9+zJzB16pOVFHd32upFOpZEoli907T/Sl6e/m5VI2qrl9fjyv0rOH/nvOKRfx63Ht1S69j+PftjvP14LlAZZzuOVlMI6QDiAjHCE8K5viXKqlwMGAS5BWHTpE1dYoVESetBydWrV7F582akpaWpdaelvZondhUUlHRSBQXAqVOKlZRTp4CioubH29srgpMZM4Dp04FWNvIkpEkREcCKFa07LjS03adDOr/iimIk30nmAhVRgQiVdQ2rTz6Lz/Ax0mYkt+VrgsMEDOo9iFZTCGknklIJhLlClNWUwdzYHIJBgjY3SuyMNPmM2+YyQ9evX8fSpUtRVVUFADA0NISlpWWH9ikhRCvs7IDlyxUPuRy4cuXJVq+EBKCmRnX8nTuKD38REYqvR49+stXLzw8wMdH+eyBdi1T6pMqWuni8hs1GSbdh3dMaQW5BCHILAqBYTckoysD5/PNcoHLz4c0Gx8lYGVLvpiL1biq+FX8LAOjXs9+T1RR7xWpKT6Pmd0UQQhrnaOHYrRojqqPNQcm2bdtQWVkJBwcHhIeHw9vbGzwe1UwnXQyPB4wcqXi88w5QVaUoN6xMmr90qeExaWmKx3/+owhIJk5UrKD4+ysCFgrciabMzDQLSADFeOrFQ/6krM41ymYU14G+pLJEsZqS/2Q1paKuosGxRRVFOJx1GIezDgNQXU1RBivOls60mkIIaZU2b9/y9fXFo0eP8Pvvv2PYsGHtNa9uhbZvdQH37yuqeSlXUgoLmx9vaakoPTx9uuIxZAjlo5CWUU4J0YJ6eT2uFl1VyU258bCFcup/eno1Zbz9eHjZetFqCiHdmFZzSkaPHg2GYZCamtqW03RrFJR0MSwLXLv2JECJjwcqW9jD7eDwZBXF3x+wsdHKVIkeoupbRAeUqynK/BRRgUitSl98ho/h/YfDx85H8bD3oS70hHQjWg1KFixYgJycHKSlpVEeSStRUNLF1dYCycmKlZRTp4ALF1r+QDlsmCI4mT4dmDJFsW2HEAAQiwFfX+pTQnRKJpchoyhDJYk++0G2WseaG5vDy9aLC1J87HzQv1f/Dp4xIUQXtBqU7Nq1C1u2bMG2bdswY8aMtpyq26KgpJspK1Mkyp86pQhUMjKaH8/nAz4+T1ZSqD8KUbeje1QUsFBPa91LJIrrQypVBOX+/rQFrZN7UPlAZTXlQsEFtVZTAGCgxUAuQPGx88GYAWPQw7BHB8+YENLRtBqUyGQyrFy5EllZWfjuu+8wevTotpyuW6KgpJu7excQCp+spOTnNz/e1BSYPPlJPsrw4YpEfNK9iMVAeDhw9KgiOFFW5WIYICgI2LRJP1dIRCLF+4qObvi+AgOBsDD9fF/dkEwuQ2ZxJi4UXMCFOxeQXJCMq0VX1epCr2zw+PRqiktfF9r2RYie0WpQ8s0336C+vh6//vorpFIpxo4dq1bzxPXr17flZbsUCkoIh2WBmzcVwcmpU8Dp08CjR80fY2X1JBdl+nRg0CDtzJV0DhKJIqgtK1NU2RII9HdFQd0VoMhIIDhY+/MjbSatkeJi4UVFoPJnsHK3/K5ax/Y26Q1vO2+V/BQrU6sOnjEhpC20GpS4u7tz5f+Up1KnHOC1a9fa8rJdCgUlpEkymaKssHKr17lzQHV188c4Oz8JUAQCRdBCSGcnEin6+VCuTLfCsizulN3hApQLBRdwsfAiquqr1Dre2dJZJUgZbTMaxgbGHTxrQoi6tNo80Yt+KRDScfh8YNw4xeNvf1MEJElJT1ZSUlIa9q3IyVE8tm9XfD1ypKL8sECg2PZlYaH990FISzZvVgQjLd0nU47ZvJmqinUBDMPAwcIBDhYOeM7jOQBPGjwqg5QLBRdwrfhao9u+ch7lIOdRDn7L+A0AYMgzxOgBo1UClcGWg6l3CiF6oM0rJaTtaKWEtNqjR4qSw8p8lKys5sfzeIoARyBQPPz8FDkqhOgS9V8hLSitLoW4UKwSqBRVFKl1bN8efZ9s+7L3gZetF/qa9u3gGRNCAC2vlBBCdMjSUlFdSVlh6c6dJwFKXJwiif5pcrlim4xIBGzZAhgaAhMmPFlJ8fEBjGnrA9GyuDjNAhJAMV4oBEJDO2RKpHOxMLHAdOfpmO48HYBi29ft0tsqQUrq3VRU1zfc3vqg6gFibsYg5mYM973BloPhZecFL1sveNt5Y7TNaGrySIiOUVBC2owqd3Yi9vbA8uWKB8sC168rPridPq14PHyoOr6uTlGeOCEB+Ne/gB49gIkTn6ykjBkDGNA/E6SDSaVPqmypi8dTJPeTbolhGDj1doJTbyeEDAsBANTJ6nD5/mWVJPqsB42vHt96dAu3Ht3Cvox9AAAew8OwfsPgZfskUBnWbxgM+YZae0+EdHf0aYO0GlXu7OQYBhg6VPFYt07xl3P5siJIEQoVgYhUqnpMVZWiC/3Jk4qvzc0VzRsFAsVqCpUfJh3BzEyzgARQjDc375j5EL1kyDfEWNuxGGs7Fmu91gIAHlU9gqhAxAUqogIRSipLGhwrZ+W4fP8yLt+/jB1pOwAAJgYmGGUzCt623vCyUwQqQ/oMobLEhHQQjXJKfvrpJ7z00kswMTFptwlcuXIFDx8+xJQpU9rtnPpGH3NKqHJnF1Bfr0iUVwYp6lT26tv3yVYvgQBwdVX8RRPSFpRTQrREue1LVCCCuEAMcaEYFwsvoqKuQq3jLYwtMM52HLztvLkVFTtzuw6eNSH6q8NKAru7u8PKygqrVq1CcHAwzNtwl+rixYvYvn07EhISsG7dum7dt0TfghKq3NlF1dQAyclPgpQLFxTbu5pja/skQBEIgIEDtTNX0vXMmwccO9b4XY5n8flAQABV3yLtQiaX4XrJdUWgUqgIVC7du4Q6eQv//v1pQK8BipWUP1dU/r+9O4+rqs7/B/667CqgoAgICqgJgpAi7rm32GhljuPyLctKm6nJsXWmZnR+k9XXpvrmVFNNTaVm07g0NpnW1CRqiSjKIrsLLiiboKLs6/398fbccy/3IiDcjft6Ph6fB97PvefwOUHc+zqfLW5AHHx7+Jq51UT2wWyhZN26ddi4cSPq6urg6uqKadOmYfbs2YiLi0PfvtdfyaKhoQE5OTmIj4/Hzp07UVBQAK1Wi5iYGKxZswYRERHtbUa3Y2+hhJ8dHERVFZCQoIYUU8sPtxQWpgaU6dOBwEDLtJXs3+HDwMSJvNtBNqG2sRbpJelqUCk4jNyy3HbtRg8AQ32H6npSxgwYg1GBo9DTlSsdkuMx6+aJJSUlePPNN7Fz5040NTXp1v4ODAxEeHg4fH190bt3b7i5ueHq1au4cuUKzp07h9zcXDRcu+uq1WoxaNAgrFy5ErNnz77By+w+7CmUcJSFAysvl3koe/ZISElPb/uY8HBg2jQpU6cypND1tXdc6Nat6opzRBZyte4qkguTDXpU8q/kt+tYZ42zbiL92CDpUYnyi+JEeur2LLKje0lJCbZu3Yp//etfKC4uVk9oYny58i1cXFwwdepULFy4EJMnT+ZmRtfYUyhZvx54+OEbO44rd3YzpaWyR4rSk3L8eNvHREQYhpSAADM3kuzO4cOygsbOncYraNx1F7BqFXtIyGaUVJbgcOFhgx6VizUX23Wsh4sHYgNjMWaADPmKGxCHYX2HcSI9dSsWCSX6jh8/jsOHDyM9PR0XLlzApUuXUFdXhz59+sDX1xdDhw5FXFwcYmNj4enp2dlv1+3YUyh5+23gqac6vnLnunXAb35jvnaRDSgoUHtRdu+WbrW2KCFl+nQJKf7+Zm8m2Yn8fPldunpVVtmaMYPdrWTztFotTpefxuECNagkFyWjuqG6Xcd7unkiNjAWcYFxuqAyxHcIgwrZLYuHEuocewol7CmhdjtzRkLK3r3y9dy5to8ZPtywJ4UhhYjsXGNzI3JKc3Q9KUmFSUgvSUdjc2O7jvd298bowNGIGxCn+zrYZzBHm5BdYCixM/YUSjinhG6IViu/BHv33lhIUXpS+vc3bzuJiCygtrEWacVpOFxwGEeKjuBI4RHklOa0eyK9j4eP7MlyLaTEDYhDSO8QBhWyOR35jMvNE6lDBg2SjRE7uvoWA4mD02hkZa6wMOChh9SQot+Tcv688XE5OVLef18eR0Ya9qQwpBCRHfJw8cD44PEYHzxeV1dZX4m04jQcKTyiK8cvHjcZVC7XXsYPp37AD6d+0NX17dEXoweMNhj6FewdzKBCdoM9JTbAnnpKAK7cSWag1QKnTxv2pJgKKS1FRRmGFD8/87aTiMiCrtZdRWpRqoSUoiNILkzGiUsn2n28X08/XUBRhn8N8BrAoEIWw+FbdsbeQgnAlTvJzLRa4NQpw5BSUND2cfohZcoU9qQQWUp+vixwUVEBeHkBM2eyi9xMymvLkVKUguTCZN3Qr1OXT7X7+ADPAAkpgXHSszIgDgGeXAmRzIOhxM7YYygBbGvlTr4fdnM3GlKGD5dwMnWqfA0KMndLiRxLUpK8EezaZfxGMGcOsHo1u8ot4FLNJaQUpRgM/Tp75Wy7jw/yCjKYSD96wGj078WbOtR5DCV2xl5DicKaK3fy/dBBabVAXp5hSCksbPu4wYPVgDJ1qqzawGEMRDemvV3mW7YA8+ZZvn0Orqy6THpT9IZ+nbvajgVGrgn2DsbowNGIDYzVlUDPQA79og5hKLEz9h5KrIXvh6RzoyElONiwJyU8nCGFqD2SkoBJkzi50M6UVJYguUiCivK1sKIdfyuv8e/lrwsoSmAZ1HsQgwq1yqKh5OWXX8bKlSvh5eXVmdM4NIaSjuP7IV2XMtzrxx+Bffvk6+nTbR/Xv79hSBkxQrrfiMjQ3Xd3fBnGr74yf7uowworCpFcmKwLKUcKj6CkqqTdx/v28JWgEnAtrAwYjcE+g7nhIwGwcCiJiIhA37598fTTT+PnP/95Z07lsBhKOo7vh9Rh585JOFGCyrFjbR/j4wNMnqwGlZEjAReupE4OjhtWdWtarRYFFQVILUpFSlEKUopTkFKUgvNX27Ei4jXe7t4YFTDKYOhXeN9wODs5m7HlZIssGkrmz5+PzMxMaDQaxMTEYPXq1RgxYkRnTulwGEo6hu+H1CVKSgxDSkZG28d4eUkXnRJS4uIANzfzt5XIlqxfDzz88I0dt3RplzeHLKOksgSpxdeCyrVyurwdPdDX9HTtiZEBI3U9KrGBsYj0i4Srs6sZW03WZtHNE7dt24Zt27Zh3bp1OHr0KBYsWID58+fjqaeego+PT2dPT2Rk9+6OBRJAXh8fz/dD0uPvD/ziF1IA4NIl4Kef1JCSmiqrJuirqAD+8x8pANCjBzB+vDrca/x4qSPqzioq1FVF2svJSVZDIbvl7+mPWUNnYdbQWbq6SzWXkFachuTCZF2PyvGLx00eX91QjQPnDuDAuQO6Ondnd0T7RxtMqB/RfwQ8XDzMfj1kezodSjQaDRYsWIBZs2Zh3bp12Lp1K7Zt24bvvvsOK1euxOLFi80yAaq0tBQJCQnIzMxERkYGcnJyUFdXh7Fjx2LTpk03fN7Lly9j/fr12LNnD86fP4+Ghgb4+vpi1KhRWLJkCeLi4rrwKuhG8P2QzMLXF7jnHimA/MIcOKDOSTl8GGhoMDympkYm1e/ZI49dXYGxYyWgTJ4su4z27m3Z6yAyNy+vjv0BBuT13t7maQ9ZjW8PX8wIm4EZYTN0dVfrruJo8VHd0K/kwmTklOWgWWv8O1PXVKebx6JwcXJBlF+UwYT6GP8Y9HLrZZFrIuvp8tW3cnNzsWbNGqSkpECj0WD48OFYtWoVYmNju/LbYMOGDVi7dq1RfWdCyZkzZ3D//fejtLQUTk5OCAoKgqenJ/Lz81FVVQWNRoPnn38eS7v4djuHb3UMRw6QVVRXAwcPqiHl4EGgtvb6xzg5ATExElAmTwZuuQUIDLRMe4nMhWNoqYOqG6qRXpJuMPQr80ImGpob2j4YgJPGCRH9IhAbGItRAaMwMmAkRgaMhG8PXzO3nDrLJpYE/ve//4033ngDZWVl0Gg0uPvuu/Hcc8+hX79+XXL+L774Art27UJ0dDSio6ORnZ2N9957r1Oh5MEHH8TBgwcRGhqKd999F0OHDgUA1NXV4S9/+Qs++eQTuLi4YNeuXQgNDe2S6wAYSjqK74dkE+rqpPdEGe6VkABUVbV93JAhakiZPBkYOpTLEJP94Woj1El1jXXIKs2SoV/XelWOFh9FXVNdu88R0jsEIwNG6oLKqMBRGOg9kEsU2xCbCCUAUFVVhXfeeQefffYZmpqa0KtXLzzxxBNYsmQJnJ27dgWGzz77DC+99NINh5LKykrExcVBq9Xi3Xffxa233mrwvFarxR133IGzZ89i9erVuP/++7uq6QwlN4Dvh2RzGhpkHsq+fTI3Zf9+4PLlto/z95ceFCWkxMRwhS+yfYcPy/BErstOXaihqQG5Zblqj0pxClKLUlHV0I4bPtf49vA1DCoBoxDeLxwuTvy7ag0Wneh+Pb169cLzzz+PefPm4amnnkJeXh7+/Oc/Y8uWLZg6dSoiIyMRGRmJIUOGWD3V1tfXQ8lng0zcTtdoNBg4cCDOnj2LxsZGSzfPbDIzgVWrgJdfli0Z7MXq1cC338r7XVvvhxqNXCORWSnzScaOBZ57TsbQZ2dLOPnpJynnTOymXFIC/OtfUgAZrz9hghpSxo7l5HmyPWPGyM607dnBdutWBhJqF1dnV0T7RyPaPxoPjnwQANDU3IQTl07ogkpacRpSi1NxqeaSyXNcqrmE+NPxiD8dr6vzcPFAdP9ogx6VGP8Y9HTtaZHrovbp0lBSW1uL06dPIy8vD6dOndJ9zc/PR319PTQaDbRaLU6fPo0zZ87ojvPw8EB4eDg2b97clc3pEF9fXwQEBKC4uBipqakYNmyYwfPV1dXIzc0FAERHR1ujiWaxc6f0IEyYYF+hhO+HZPOcnOR/qhEjgF/9SurOnjUMKdnZxsdVVADffy8FkLATF6eGlEmTZP8UImubN096QF56Sd5MtFp1FRKNRrqoV63iH2DqFGcnZ0T0i0BEvwj8T/T/AJDRK+eunpOAUpSKtBL5evbKWZPnqG2sxeHCwzhceFhX56RxwrC+wwx6VEYGjIRfLz+LXBcZ63QouXr1Kt544w3s378fxcXF0B8N1nJkmJ+fHwYPHoyQkBCUlZUhJycHRUVFqKmpwdGjRzvblE575pln8Nvf/havvfYanJycMG3aNHh6euLEiRP4v//7P5SVleHuu+/G6NGj2zzX5s2bsXXr1nZ937y8vM42/YbFx6tff/c7qzXjhnSH98P8fFniuKJCbpDPnMl5L91aSIiU++6Tx2VlMhdFCSrJyUDLntiGBiAxUcprr0ndiBGG81KCgy17HUSKMWOAHTvkj1l8vKxa5+0NzJjBP2ZkNhqNBoN6D8Kg3oNwd/jduvrLNZd1PSnK15zSHDRpje9cNmubkVuWi9yyXPwz85+6+iCvIIwKHIWR/tKjMjJgJML6hFl9RI8j6HQo+f3vf4/du3frAoibmxtCQkIQFhaGsLAwDB48GIMHD0ZYWBg8PT2Njr98+TKys7ORbeqOoYXdfffd8PLywvvvv49VLcb7+Pn54U9/+hMWLVrUrnOVlpYiKyvLHM28YQUFMlJEodXK5yBA5uomJxvOt/X3B4KCLNvGjrLX98OkJAlTu3YZh6k5c2R4mi2HKeoi/foZLkNcVQUcOqSGlMRE05PnMzOlvP++PA4NNZyXEhHByfNkWYMGcXlDsjqfHj6YHjYd08Om6+pqG2uReSFTelSuBZWjJUdR3VBt8hwFFQUoqCjAzuM7dXW93XvrVvxSelS48WPX63QoOXjwIABg2bJlmD9/PkJCQjqUJn18fDBp0iRMmjSps03pEmfPnsXFixfh5OSEwMBA3ZLApaWl+PLLLzF69GijoV2m+Pn5ISoqql3fMy8vD7VtLS3aBRYvVkOIQvlR1dXJCBF9U6bInF17YE/vh9u3q8POlM5EZcl/rVYm8H/7rQxPmzfPeu0kK+jVSxL1jGtr/jc0AGlp6sT5n36S3pWWzpyR8tln8rhvXwkpkyZJGT0acHe30EUQEdkODxcPxA2IQ9wA9UNOU3MTTl46adCjklqUitLqUpPnuFJ3BfvO7sO+s+qHIjdnN4zoP8KgRyXGPwbe7tyP50Z1OpR4e3vD2dkZzz77bFe0x6pefPFFfP7554iOjsZHH32EsLAwADJX5u2338bHH3+MxYsXY8eOHQhqowth0aJF7e5VUVYmMLdly2TBlLo69cNwy6+ABBV3d+CRR8zeJIeTlCSB5HoL1jQ1yc9g4UIuWOPwXF3lF2DMGODpp+WX5tgxdU7K/v3A6dPGx128KJPFlCXn3N3lrsOkSRJWJk6U4EJE5ICcnZwR3i8c4f3CsWiEfFbTarUoqiwy6FFJK05D3mXTQ+zrm+p1k++RptaH9QnDzQE342b/ayXgZg7/aqdOh5L4+HhUtWdtfhuXm5uLf/7zn3B1dcVbb71lEDo8PDzw29/+FtnZ2UhMTMQHH3yANWvWWLG1N+aBB+Rzyb33AidPmt6Q18kJuOkmuZsfGWn5NnZ3L79s2EPSGuU1L7/MpYxJj0YjQ7MiIoDly6Xu/Hm1F2X/fiAjw/gXrK5O5q4kJKjzUiIi1J6USZPkf3y+aRKRg9JoNBjgNQADvAZg9rDZuvortVeQXpIuvSnXgkrWhaxWN348XX4ap8tP49+5/9bVebt7I8Y/xiCojOg/gqt/tdAlq2/16tWrK05jVcnJydBqtQgJCWm1F2TSpElITExEZmamhVvXdSIjgZQUuQu/a5fx8z/7mQwb6sn/T7pcfr46Ib89mpqAr7+W42x5fgxZWXAwsGiRFED2RjlwQA0hSUmmd57PzZXy8cfy2M/PMKTExnLIFxE5vN4evTE5ZDImh0zW1dU31SO7NBupRam6sJJeko6rdVdNnuNq3VXsz9+P/fn7dXVOGifc5HuTUa9KkFeQw/aqcCeZazrS21NfX2/Glphfz57AhQvq5GqFk5NMhOeWCOaxe3fHdqEH5PXx8fYzX4ZsgI+PLD03+9qdvvp62dRx/341qFy4YHxcaSnw739LASSQjBmjhhQO+SIiAiDzSZSJ7w/hIQAy/OtM+RkcLTmKo8VH5WvJUZy6fMrkOZq1zTh28RiOXTyGrVnqaq19e/Q1CiqRfpFwc3azyLVZE0PJNcr8kbNnz6KgoMBkb0lCQoLBa+3V99/L3BIA8PAAHntMFvGprZX6//4XuP1267axO6qoMA6CbXFykhXFiG6YmxswbpyUZ56RpJuXpwaUhATT+6XU1UmQ2a/e2cPw4Ya9KUOHcsgXERFk+FeYTxjCfMIwN2Kurv5q3VVklGTgaMlRpBWn4WjJUWSUZKCmscbkeS7WXDTa/NHFyQXD+w03Civ9e/U392VZlMOFksWLF6OkpAQPPPAAlurdfp40aRL69u2LixcvYuXKlXj99deNJronJiYCAO5Rlu+0Q1qtLDcLAOHh6tyRZctkrsnx47K3x2238bNGV/Py6lggAeT13lzIg7qSRiNhYuhQ4EHZMRmXLsnyw0pvyuHDpod85eRI+egjedy/v/SgKBPoY2MlBBGR7eHGWFbh7e6NSYMmYdIgdZVZZfWvlr0q56+eN3mOxuZGZFzIQMaFDHyGz3T1gZ6BRkFlWN9hcHGyz4/39tlqAEVFRZg7d67usTKkKiUlBePGjdPVL1u2DMuVCaEASkpKUFBQgIqKCoPz9ezZE2+88QZ+/etfIyMjAz/72c8wYMAA9OrVC/n5+aipkUR733334dZbbzXjlZlXQwPQpw/w0EPAX/+qzh1R5po88QRQWCj7t7ly+e0uNXOmfB7syBAujUZdHZbIbHx9jYd8paSoPSn798vwrpYuXDAc8uXhYTjka8IEDvkisjZujGVz9Ff/WhC1QFd/sfoi0kvSdSHlaPFRZJVmob7J9LSBosoiFJ0swn9O/kdX5+HigSi/KF1IUb728ehj7svqNLsNJU1NTSgvLzeqb2xsNKjvyP4fEydOxI4dO7BhwwYcOHAAhYWFKCkpQZ8+fTBx4kQsWLAA06ZN63zjrcjNDfjuO9O9IL16AevXy98s9pJ0vUGD5O//N9/IJPa2ODvLZ0TeyCKLc3MDxo+Xogz5OnnScMhXTo7xcbW16nLFivBw6U2ZMEG+Dh8uH4qIyPy4MZZd6duzr9Hmjw1NDcgtyzXqVblQZWJuIGSzyOSiZCQXJevqXJ1c8ZdZf8HjYx43+zV0hkar7ejUW+pqyj4lUVFR2L59u7WbQ2Z0+LB8LrvePiWAhEJnZ9vep4QjARzcxYsy5Et/la+6uraP691bwo4SUsaN4xhFInNISpIey+7whkNGiiuLDULK0eKjyC3LRZPW9F3P6P7RSH8s3cKt7NhnXLvtKSGyR2PGyA0p5caVqR4TZ2d5j9i61TbfHzgSgADIsKw5c6QAEkj0h3wlJJge8nXlinTXfvedPNZogBEjJKQoQYV7phB1HjfG6tYCPAMQMDQAdwy9Q1dX21iLrAtZRr0q1Q3VeHT0o1Zsbfuwp8QGsKfE8Rw+LB/slX1L9D/Y33WXLDZgix/s9UcCXC9QcSQAQasFTp2Su6+JiVLS09u32kPfvoYhZcwYGV9KRO2Tnw+EhnZ8EuOZM+zy7ma0Wi200MJJY51hs+wpIbJxY8YAO3bI+0Z8vCz76+0tk9pt9f0gKUkCyfVGAjQ1yfvawoUcCeDwNBpgyBApS5ZIXUWFJHL9oHL5svGxFy9KYt+5Ux47OwM336yGlAkT5AMXe1OITOPGWHSNRqOBBvbxt5KhhMiKBg2yn7//HAlAneblJclbWVKuuVnWIVdCyoEDpvdMaWqSoWEpKcC770pdQIAaUiZOlOWIPTwsdy1EtowbY5EdYighojbl56tDzdqjqQn4+ms5zlZ7fsgGODkBERFSHn5Y6i5fBg4dUkPKoUPyAaul4mLgyy+lALKG+ejRhsO+TGyCS+QQuDEW2SGGEiJqE0cCkMX4+ACzZkkBJOFmZakhJTEROHHC+LiGBuDgQSnr1kndwIFqSBk/Hhg1CnB3t9y1EFkLN8YiO8RQQkRt4kgAshpnZyAmRsovfyl1paUSPpSQkpQEXNvg1sC5c1K2bpXHbm4STMaNU/dh4dwU6o64MRbZIYYSImoTRwKQTfHzk2Xq7rpLHjc0yMpe+nNTzp41Pq6+XoaDHToEvP221PXvrwaU8eOBuDj5hSeyd6tXy8aIbfWYaDRSVq2yXNuITGAoIaI2cSQA2TRlPsno0cCKFVJXWCgBRRnSdeSI7Djf0oULshTejh3y2MlJ9k0ZP17tUYmI4C70ZH+6w8ZY5FAYSoioTRwJQHZnwADg5z+XAkhvSkaGGlIOHjQ9N6W5WXpd0tOBDz+Uut69gbFj1d6UceNkLxUiWzdvnvQctrYx1uzZtrsxFjkchhIiaheOBCC75uoqywbHxgKPPy51ZWUyH0UJKYcOmZ4IdeUK8N//SlHcdJPhsK/oaPkeRLbGHjfGIofEUOLAtFq5EZiUJO/Tt94KDBvGOZ9kGkcCULfTrx/ws59JAeTucW6uYW9KZqbpFH7ihJRNm+Rxjx4yfEw/qHBJYrIl9rQxFjkkhhIHlpYG/OpX8u9PPpGvQUESTmbOlDJggNWaRzaIIwGoW3NyAiIjpSj7pii70OsHldJS42NraoD9+6UogoMNh3zFxgI9e1rmWoiI7AxDiQPr1w9wcQEaG9W6ggJg40YpgLw3z5wpQWXqVBlaTY6tO4wEyM+XvVcqKmShpZkz7aftZGEtd6HXaoEzZwxDSmqqzFlp6fx54IsvpADSlRgdLfNTxo2Tr8OHSz0RkYNjKHFgAwcCKSnAhg3yAe3oUePXZGdLeecded8cM0YNKRMmcB8yR2aPIwGSkqSXZ9cu416eOXNk3gx7eei6NBogLEzK4sVSV1srwUQ/qOTnGx/b1CRd1Glp6iR6T09Zhlg/qAQFcRwtETkcjVbb0X2aqavNmzcPWVlZiIqKwvbt263WjgsX5M737t3ADz/IzcDr6dEDmDxZHe41ciRXzSTbtX17++bDbNkiw9SIOqWwUCbO6y9JXF3dvmMDA9WAMnasJGVu+kNEdqgjn3EZSmyArYSSlk6dknDyww8SVi5evP7r+/YFpk9XQ8qQIbzZR7YhKQmYNEnCSFsrhzk7y7wZ9phQl2pslG7npCQphw7JJPr27Eqq0cheKfpBJSaGq30Rkc1jKLEzthpK9DU3y/AupRflxx9lXuf1hISoAWXGDMDf3zJtJWrp7rs7vsfKV1+Zv13k4KqqZAztoUNqWDG1E70p7u4ycV5/2NfgwbwTREQ2haHEzthDKGmprk5GJPzwgwSVpKS2P/BFR6shZcoUmT9KZG75+UBoaMd3oz9zhpPfyQqKi2W1L6U3JSlJ9klpj7591Z6UceOku69fP/O2l4joOjryGZcT3emGuLvLalxTp8rE4atXgX371JCSlWV8TEaGlHXrZNWvcePUXpTx4zlpnsxj9+6OBRJAXh8fb38T+akbCAgA7rpLCiDd1CdPqgHl0CGZKG9qta+LF2WH02+/VesGDzYc9jVqlEwIJCKyMQwl1CW8vQ3fR4uK5MOgMtzr/HnD1zc2AgkJUtasATw8gFtukYAyfbosRuPC307qAhUV6ipb7eXkZHpjbyKLc3KSXW2HDQOWLJG6ujoZT6s/7Ov4cdPHnzol5Z//lMcuLsCIEdKLopSoKM5PISKr48c+MovAQOD++6VotbLxsdKLEh8PlJcbvr62Vp1UD8jQrilT1O0BYmK4shfdGC+vjgUSQF7PxY7IZrm7qz0fikuXZIUvpTfl0CHTmzw2NqrLEv/971Ln4SE9KHFxalAZNox/dInIohhKyOw0GvVG3+OPy9yTlBQJKHv2AD/9ZDxpvqJC9pLYtUse+/oC06apISUigvM5qX1mzpTflY7OKVH2yiOyC76+wO23SwHkFz4/37A3JTnZ9LLEtbVAYqIUhbc3MHq0YVAJCeEfXiIyG4YSsjhlE8YxY4Dnn5eRCElJ0oMSHy8T6OvrDY+5dEn2mVDmSAUEqAFlxgzZx4zIlEGDZGPEjq6+ZYuT3LkTPbWbRiMhIiQEWLBA6pRliQ8fVkt6utS3dPWq3DXas0et69dP/nDrB5WAAMtcDxF1e1x9ywbY4+pb5lRdLftEKCHl8OG2h9+EhKgBZfp02RCZSHH4MDBxov3uU8Kd6MlsamslmOgHlZyc9nctBgcbBpW4OMDHx7xtJiK7wSWB7QxDyfVduSJDvJSQcvRo28eEh6sBZdo0wM/P7M0kG9feHd23bgXuvdfy7WsNd6Ini6uoAFJTDYPKqVPtP37oUMOgEhsL9OplvvYSkc1iKLEzDCUdU1Ymyw8rISU3t+1jYmLUnpQpU4Devc3fTrI9hw9Lj8POncY9DnfdBaxaZVs9DtyJnmzGxYsyJ0U/qBQWtu9YJycgMlId8hUXJ3+UuQ48UbfHUGJnGEo6p7BQhj0rIeXMmeu/3slJ5m9OmyY9Kbfcwo0cHU1+vvyuXL0q83lnzLDNuRnciZ5sWmGhrPilH1QuXWrfsW5uEkyUyfSjR8vSxG5u5m0zEVkUQ4mdYSjpWqdPG4aUoqLrv97ZWQ0p06YxpJBt4E70ZHe0WvkDfPiwGlaSk4HKyvYd7+YG3Hyz/EFWwgr3UCGya9zRnRxaWJiUhx+W98hjx9SAsmeP8Y28piZ1xczXXpOQEhenhpRJkxhSyPK4Ez3ZHY1GdpAfPFgmQgHyB/bYMcOgkpYmyy62VF+v9rgo3N2lR0XpTVF6VBhUiLodhhLq1jQa2dMkIkL2SGluloVm9u6Vsm+f8UaOTU3q3mN//rMaUpRJ85MmAZ6elr8WcizciZ66BWdnmU8SGQk8+KDU1dcDmZkSUpKTpaSnAw0NxsfX1ZkOKi17VCIjGVSI7BxDCTkUJydg5EgpTz4pASQjQ3pQ9u4Ffvzx+iHl1VfVfVb0e1IYUqircSd66rbc3GRFrthYta6uToJKcrIaVjIyWg8qSve2Qgkq+j0qDCpEdoVzSmwA55TYjqYm456UK1euf4yLi3FI4eqX1FmcU0IOr65OgonSm3LkiAQXU0HFFA8PtUdFCSuRkfJHm4gsgnNKiG6QszMwapSUp56SkHL0qBpSfvzROKQ0NgKJiVLWrpX3u7Fj1ZAycSJDCnVcd9qJnuiGuLtLmIiLU+v0g4p+j4qpXelra9VuboUSVFr2qDCoEFkde0psAHtK7IcSUvSHe7U1hl8/pEyfDkyYwJBC7WPvO9ETWURtrekeFVNBxZQePdQelVGjZFgZlycm6hIO0VNSWlqKhIQEZGZmIiMjAzk5Oairq8PYsWOxadOmTp9/37592LZtG9LS0lBeXo7evXtj4MCBGDduHFasWAEX3lVxSM7O6lDoZ56RD4tpaYY9KS1DSmOjfFg8cAD43/9Vh3tNmQJMnSrDvTgPgEwZM0Z2am/vTvQMJOSQPDzUjRkVSlDRn0zfWlCpqQEOHpSicHUFoqPVP/ixsbIKWI8e5r8eIgdlt5+sd+3ahbVr13b5eRsbG/HCCy9gx44dAIDAwEBERESgvLwcmZmZSE1NxaOPPspQQgDUPU5Gj5aQ0thoHFIqKgyP0R/u9ec/y+T7UaMkoEyZAkyeDPj6WuFiyCbNmyeBtrWd6GfPtr2d6ImsrrWgkp5uOPQrM9N02m9oAFJSpCicnWUpR/2gMnIk7yoRdRG7/WTt6emJiRMnIjo6GtHR0cjOzsZ7773X6fP+6U9/wo4dOxAdHY01a9YgMjJS91xNTQ0OHDgAN3bpUitcXNQh0M8+q4YUZbjXTz8Zh5TmZvVG3ptvSl10tBpSpkwB/P0tfSVkS8aMAXbssJ+d6IlskoeHjKUdO1atq6lRg0pqqoSQ1lb9amoCsrKk6I/IuOkmddhXbKz8u18/818PUTdjt6Fk/vz5mD9/vu5xSUlJp8958OBBbNu2DUFBQdiwYQM8W6zz2qNHD8ycObPT34cch35Iee45NaT8+KOs7PXTT8Dly8bHZWRI+etf5XF4uBpSpk4FgoMtehlkIwYN4saIRF2qRw9g3Dgpivp6CR5KT0lqqvzhrqkxfY4TJ6Rs3arWDRpkGFJiY4HAQOneJCKT7DaUmMP69esBAA8//LBRICHqCvoh5emnpZckM1MNKT/+CFy4YHzcsWNSPvxQHoeFGYaUsDC+1xERdQk3N3UZxkcekTplZ3olqChhpbWVTvLzpfz732qdv7/h0K/YWCAkhH+8ia5hKLmmrq4OCQkJAIAJEybg5MmT2LJlC/Ly8uDm5obhw4dj/vz5CAoKsnJLqTtxcpK5kzExwBNPyHyBY8fUkLJvH1BQYHzc6dNSNmyQx8HBakCZMkV6Vvg+R0TURfR3pr//fqlrbpY/xPpBJSUFKCszfY6SEuDbb6UofHwMh37FxspwMCcn818TkY1hKLkmNzcXDdfGkCYnJ2PNmjW6xwCwZ88efPTRR1i7di3mzJljrWZSN6fRyDzKiAjg0UclpJw+rfai7Nsnj1s6fx74/HMpANC/v2FIGTGC73FERF3KyQkYMkTKL34hdVqt/EFW5qcoxdTdJUDG78bHS1F4esoSxUpvzciRskSxu7vZL4nImhhKriktLdX9W5ngvmrVKkRERKCoqAjr1q3Dt99+i+effx6DBw82mABvyubNm7FVf3zpdeTl5XWq7dR9aTTA4MFSHnpI6s6dk4CihJRjx4yPu3AB+OILKYDcjJs8WULK5MnyPscF5IiIuphGAwwcKOXuu9X6khI1qChfT50yfY7KSiAhQYrCxUV6aZSQopQ+fcx3LUQWxo8l11RVVen+7eHhgb///e/o3bs3ACAkJARvvvkmzpw5g5ycHPztb3/D22+/fd3zlZaWIisry6xtJsc0cCBw331SAHmv0w8pGRnGx1y+LKs3XVvpGr16ySaOkycDt9wCjB8P9OxpuWsgInIo/v7ArFlSFJcvywR6/R6VY8dM75Ta2CirhKWnAxs3qvWhoWpQUb4GB3P8LtklhpJr3PW6Re+9915dIFE4OTlh6dKl+N3vfof9+/ejubkZTtcZD+Pn54eoqKh2fe+8vDzU1tbeWMPJ4fn7y8gBZfTApUuyqpcSUlJTZeizvqoq4IcfpAByE270aAkpSlDhXink6PLzgd27ZRlvLy9g5kwuwUxdyMcHmD5diqKyUoJHSooEltRUWQ2lvt70Oc6ckfLll2pd375qT4oSVMLD2T1ONo+/odfoh5AhQ4aYfM3gwYMBSK9KeXk5fK/zqW3RokVYtGhRu773vHnz2KtCXcbXF7jnHimALA6TkKAuQXz4sPES/I2NwKFDUt54Q+qiotSQMnmy9NAQOYKkJNmsctcu480q58wBVq/mZpVkJp6ewMSJUhQNDUBOjoQUJaikpQHl5abPcfGipOndu9U6Dw/ZAEu/VyU6WrrNiWwEQ8k1SuAAAFdXV5Ov0e9NaW5565nIRnl7A3feKQWQpfaTkiSg/PST7BZeWWl8nLJH2N/+Jo9DQgxDSkQERwhQ97N9O7BwoYQRZRSN8udeqwW++UYWT9qyBZg3z3rtJAfi6qou0/jAA1Kn1QJnzxqGlLQ06d4zpbZW7kgdPqzWaTTSg9KyV6V/f3NeDVGrGEqu8ff3R1BQEAoKCnDu3DmTr1Hq3d3d0YeTy8hO9eghE96nTpXHjY3A0aNqSPnpJ0Bv3Qeds2elfPaZPO7XT4Z5KSGFk+fJ3iUlSSBpajI9rB+Q5zQaed2BA+wxISvRaGQ+SWgoMHeuWn/xovxB1w8qOTnyi9uSVgvk5krZvFmtHzDAMKSMGiWbYXEJRzIzfoTQc+edd+Kjjz7C119/jSeeeAIuLT5hfXFtKaMxY8YYPUdkr5T5JKNHA08+Ke9Tx4+rAWX/ftOLxJSVyb5gyt5gyuR5Jahw8jzZm5dfNuwhaY3ympdfBr76yjJtI2qXvn2BGTOkKGpqpNtbCSqpqRJcqqtNn6OwUMo336h1Xl6yTLF+GTGCf+SpSzncJ+vFixejpKQEDzzwAJYuXWrw3COPPIItW7bg/PnzWLNmDf7whz/A3d0dWq0WmzZtwp49e6DRaPDoo49ap/FEFqD06IeHA8uWSV1BgYQTJahkZBh/cOPkebJn+fnAzp1tBxJFUxPw9ddyHCe/k03r0QOIi5OiaGoC8vIMg0pqqqwnb0pFhbwJ7N+v1jk5yUaPLcNKUBDH9tINsdtQUlRUhLl6XZb111amSElJwbhx43T1y5Ytw/Lly3WPS0pKUFBQgIqKCqNz+vr64u2338Zjjz2GLVu24JtvvkFoaCiKi4tRWloKjUaD5557zuD8RI4gKEiGqyxcKI8vX5ahK0pI6cjk+UmTpNxyi4wI4HsX2YLdu9sfSBRarex51+L+FpHtc3YGhg2TovxhB4CiIuMJ9SdOmD5Hc7MsYXzsGKC/L5uvr3FQiYzk5o/UJrsNJU1NTSg3sfJEY2OjQX1Hl9qdOHEivvrqK3zwwQc4cOAAcnNz4enpiRkzZuChhx7C2LFjO9lyIvvn4wPMni0F6Pjk+Q8/lMcBARJOlKAycqTM6SSytIoKdZWt9nJyktXtiLqNwEApysoogPzPkZ4uQ76Ukp4uf/hNuXQJ2LNHisLFRVZHaRlW/P3Nez1kV+w2lAQHB+OYqa2s2xAfH9/ma0JDQ7F27dobaRaRQ7rRyfPFxYY7z/fsCYwbp4aUCROAFlsGEZmFl1fHAgkgr/f2Nk97iGyGl5f6R1nR1AScPGkYVI4eBc6fN32OxkbZbyUzE/jHP9R6f381oIwcKV+5p4rD4k+diLpca5PnExKk7N8vj1uqrja8wabRyFL6ynCvSZNk/D6HfFFXmzlTfq86MoRLozGcT0zkMJyd1cmHCxao9RcvGveqZGW1vvljSQnw/fdSFO7uMta3Za+Kj495r4msjqGEiMxOf/L8ww9LXWmpDPPav1+CypEjxvNStFp5f0tPB95/X+qCggyHfMXE8KYadd6gQbIx4jffmF49tSVnZxm+yEnuRHr69jXepb6hQeadtOxVKSkxfY66OtnRPiXFsH7gQOOgMmSI/M9I3YJGq+3o1D7qasqO7lFRUdi+fbu1m0NkFTU1EkyU3pSEBJlQ3xZPT1l+WOlNGTdORhsQddThw7KR9vX2KQEkZDs7c58Sok4pKTEMKWlpsmdKe+4KKHr0kKWJY2KkW1352q+f2ZpNHdORz7i8v0hENqFHD3X5YEDG6+fmqsO9EhJkBcuWKisNlyJ2cpIbaPq9KcHBlrsOsl9jxshO7cqO7qY+Gzk7SyjZupWBhKhT/P2B22+XoqitBbKzjXtVWrtDVVNjvFM9IJP1Y2IMw0pEBFcAs3EMJURkk5ycZBXJyEhAWdW7uNiwJyUlReZP6mtuVpfcf+cdqQsJUQPKxIlyY41DvsiUefOkB+Sll9R9S5RVuTQaGbK1ahUDCZFZeHgAsbFSFFqtTKBvGVROnGi9S7OoSMp336l1Li4yhrhlWAkO5kRFG8HhWzaAw7eIbkx1tSxFrPSmJCYCV660fZynpwzzmjhRVvgaP55zKMlYfr7sQ3L1qqyyNWMG55AQ2YyqKulVSU+XHX2VCYgXL3bsPH36GA79iomRO1ccB9wlOHyLiBxCz57AtGlSALmbnZWlDvdKSADOnDE+rrJSNsvbvVuti4yUkKKUYcN488zRDRrEjREtKT9f/p+sqJDPgzNnMgTSdfTqJV2W+t2WWq10qSsBRQkr2dnGK6koysvVtev1hYUZ96oMHcqJ9WbEUEJE3YaTk7x3REcDjz0mdQUFakA5cECGdZmaK5CdLeWjj+Sxr6/0oighZcwYeQ8koq6VlCTD5XbtMh4uN2cOsHo1h8tRO2k06gaQd9yh1jc0yDr0LcPKuXOtn+v0aSlffaXWeXjIcsUtw4qfn/muyYFw+JYN4PAtIsupqpJVvhITJaQcONC+3n5nZ5lAr9+bwj1TiDpn+/b2LSywZYvM9yHqUpcvy4aO+mElI0O60zsiIMBwCNiIEdL93qOHedptRzh8i4ioFb16Ge4+r9XKfMkDB9SgkpVlPH+yqUldOv+vf5W6wEDDkDJqFBd3IWqvpCQJJNdbgrmpSULJwoVcgpnMwMfHcNlHQLrpzpwxnKeSkSFvFM3Nps9TXCzlv/9V6zQaGe41YoQaVKKjpY4rrZjE/ypE5NA0Gpk/MmyYOn+gvBw4dEjtSTl0SMa5t1RUBPzrX1IACSRxceqwrwkT5AYaERl7+WUJI22N11Be8/LLhiNpiMzCyQkYPFjKPfeo9dXVMsZXP6ykpwNlZabPo9zxOnEC+PJLtd7NDRg+XA0qSlgZONDhu94ZSoiIWujTR4YjK0OSm5qk90QJKYmJwMmTxsfV1anzVxSDB6sBhcsRE4n8fHXJ5fZoagK+/lqO4+R3soqePeWuU1ycWqfVyiaQ+vNUMjMlvNTWmj5Pfb26rLE+b281pOj3rjjQRpB8ayQiaoOzszqv8Ve/kroLFwznpRw5Yvo96NQpKZ99Jo+VBWPGj5egMm6c7CFG5Eh2725/IFFotbJEM1dEI5uh0Uh3eECA4SaQTU2y229GhoSUzMy2h4Bdvaq+oejz9zcc/qXMV/H0NN91WQlDCRHRDejfX3r2ld79+nogLU19TzlwQFb+aqmqCti7V4oiLEwNKePHy4R6NzcLXASRlVRUqKtstZeTk3xuI7J5zs7quOCf/1ytr60FcnONw8r1VgErKZHyww+G9YMHG/eqhIcDrq7muSYLYCghIuoCbm7A2LFSnnxS6s6dMwwpaWnGO9AD6sqT//ynPPbwAEaPloCilOBgS10Jkfl5eXUskADyem9v87SHyCI8PICRI6Xou3JFxggrYUVZBezSpdbPpXTD79ih1rm6SjDRDyojRgChoZLqbRxDCRGRmQwcKKsGLVwoj6urZfWuxETg4EH5WlRkfFxtrfHclOBgw5AyerS8vxHZo5kzZeRLR4ZwaTTAjBnmaxOR1fTurS7jqFDmq7TsVcnKkjcTUxoa1Ndu3qzW+/oC778PLFhg3uvoJIYSIiIL6dkTuOUWKYC855w/r4aUgweB5GQZCtbS+fPAF19IAeSG2MiRakiZMEFuhjn44i1kJwYNko0Rv/nG9P4kLTk7A7Nnc5I7ORD9+Sq33abW6y9ZrASVzEzg2DHTXfGA9Li88gpDCRERmabRSG/KwIHqe0VdnQzzUkJKYiJw9qzxsQ0NwOHDUt55R+r69zecmxIX1y3nQlI3sXo18O23bfeYaDRSVq2yXNuIbFZrSxbX10sw0e9VycyUscEAcO+91mlvBzCUEBHZEHd3WZFr3Dhg5UqpKyqSvVKUkHL4MFBTY3zshQsyvFgZYuzkJMOKlZAyfrzMu2RvCtmCMWNkp/b27Oi+dSs3TiS6Ljc3+YMfHW1YX1kpbxh2sLQwQwkRkY0LDATmzpUCqMOG9Yd9nThhfFxzs7oc/t/+JnU+PjIZXwk+Y8faxXsVdVPz5skiEC+9pO5boqzKpdHIkK1VqxhIiG6Yp6fddJkzlBAR2RlXV2DUKCmPPy51ZWVqb8rBg63vQn/5MvDdd1IUgwerIWXcOJmrwkn0ZCljxkjvXn6+7ENy9aqssjVjBueQEDkShhIiom6gXz+5qzx7tjxuagJycgznpmRnmz5WWVlSWZLY1VX2StHvTbnpJrtYUZLs2KBB3BiRyJExlBARdUPOzuoS9cuWSV15uew8f+iQWi5cMD62oUFed+QI8O67Utenj/GwLz8/S10NEdm6/Hxg927pofXykmWf2dNFHcFQQkTkIPr0AW69VQog4/fPngWSktSQkpws+6S0VF4OfP+9FEVYmOGwr1GjOOyLyNEkJcmcoF27jOcEzZkjq6xxThC1B0MJEZGD0mhkb5PQUHVJ4oYGWUlSP6jk5Jg+XtmJXtmjy8XFcNjXuHEc9kXUnW3frq6epizr3NwsX7Va2Yfm229llbV586zXTrIPDCVERKTj6grExkr51a+k7soVWYZYP6iUlBgf29goPS3JycB770ldnz5yl1Q/qHDYF5H9S0qSQNLU1Po+M01NcvNj4UJZZY09JnQ9DCVERHRdvXsbD/vKzzce9mVq75TycuC//5WiCA2VOSljxsjX2Fi7WbGSiK55+WXDHpLWKK95+WXgq68s0zayTwwlRETUIRoNEBIi5Re/kLqGBiAry3ASfU6O6Q8sZ85I2bpVHjs5AcOHqyFlzBggJkb2AiMi25Ofr+4r0x5NTcDXX8txnPxOrWEoISKiTnN1lf1NRo4EfvlLqbt61Xi1r+Ji42ObmyXQZGUBGzZInZubnGvMGLVERHB+CpEt2L27/YFEodXKPjRc9plaw1BCRERmoWyAN2OGPNZqgXPnZNjX4cNSjhwxvcljfb28LilJrfPyAkaPVkPK2LFy11Wjscz1EJGoqFBX2WovJye5UUHUGoYSIiKyCI1GQsSgQcD8+VLX3AwcO6aGlKQkIC1NQklLFRXA3r1SFH5+hsO+xozhRHoic/Py6lggAeT13t7maQ91DwwlRERkNcp8kuHDgQcekLr6enVZYiWsZGeb/hBUWirLjn7zjVoXEmIYUkaPlg9RRNQ1Zs6UmwwdGcKl0ai9pkSmMJQQEZFNcXOTIDF6NPDYY1JXWQmkpBj2qJw+bfr4s2elbNsmjzUadSK90qsSEwO4u1vmeoi6m0GDZGPEb76RSextcXYGZs/mJHe6PoYSIiKyeZ6ewJQpUhRlZTInRQkphw+b3j9Fq5WeluxsYONGqXN1lY0e4+LUEhkp9UTUttWrZWPEtnpMNBopq1ZZrm1knxhKiIjILvXrB8yaJQWQD0bnzxtPpDc1ubahQZ47ckSt8/AwDioREbJTPREZGjNGdmpXdnQ31WPi7CyBZOtWbpxIbbPbP7WlpaVISEhAZmYmMjIykJOTg7q6OowdOxabNm3qsu+zb98+PProowCAoKAgxMfHd9m5iYio62g0wMCBUn7+c6lrbgaOHzeeSF9XZ3x8ba26dLGiZ09g1CjDoDJsGJcmJgKAefNkp/aXXlL3LVFW5dJoZMjWqlUMJNQ+dhtKdu3ahbVr15r1e1RVVeFPf/qTWb8HERGZj5OT9HZERABLlkhdfT2Qman2lCQnA+npQGOj8fHV1UBCghSFp6fsQq8fVIYMYVAhxzRmDLBjh2yMGB8vPZPKcuCcQ0IdYbehxNPTExMnTkR0dDSio6ORnZ2N9957r0u/x7p161BYWIiZM2di9+7dXXpuIiKyDjc3CRWxscC1jnDU1sqKX0pQOXJENnM0NSSlshL48Ucpit69ZWK+ElJGjwbCwriHCjmOQYO4MSJ1jt2Gkvnz52O+stA9gBJTsxs7IS0tDf/4xz8wc+ZM3HrrrQwlRETdmIeHujqXoqYGOHrUMKjk5JhemvjKFblLrD/C18fHsDclLk6GljGoEBEZs9tQYk4NDQ1YvXo1PDw88Mc//hEHDhywdpOIiMjCevQAxo+XoqislDkp+kO/jh0zvfrQ5cvAf/8rReHnp/akKEFlwAAGFSIihhITPvjgAxw/fhwvvPACAgICrN0cIiKyEZ6ewC23SFFcvQqkphr2qJw8afr40lJZRvXbb9U6f38JKcqQstGj2aNCRI6HoaSFvLw8fPDBB4iKisISZVYkERFRK7y9galTpSjKy2WzR/2g0tpmjyUlxrvS9+tnGFJiYzlHhYi6N4YSPVqtFqtWrUJjYyNefPFFODs73/C5Nm/ejK1bt7brtXl5eTf8fYiIyPb06SOrD82YodZdvCjDvZRhX0eOyIpFppSVAd9/L0X/nC2DytChXPWLiLoHhhI9n3/+OVJSUrBkyRJER0d36lylpaXIysrqopYREZG969sXuP12KYoLF2ToV3Ky9KwkJwNnzpg+vrzceDK9l5fso6I//Cs8XDatIyKyJwwl15SUlODNN9+Ev78/nnzyyU6fz8/PD1FRUe16bV5eHmprazv9PYmIyL707w/ccYcUxaVLElCUkJKS0voclYoK4+WJe/YERo5Ug8ro0cDw4dyZnohsG/9EXfPSSy+hsrISa9euhaenZ6fPt2jRIixatKhdr503bx57VYiICADg6wvceqsUxZUr0qOiH1RaW/Wrulp22dZfONLDA4iJMQwqUVGyZwsRkS1gKLkmOzsbAPDiiy/ixRdfNHhO6cUoKirCpEmTAADvvPMOYmNjLdtIIiJySL17A9OmSVFUVMg+KvpBJTvb9D4qtbVAUpIUhasrEB1tOPQrOlqWQiYisjSGkhbKyspafa65uVn3fENDg6WaREREZMTLy3h54upqID3dcI5KVhbQ2Gh8fEODOkxM4ewMRETIPBX90qeP2S+HiBwcQ8k18fozB1vYvn07XnjhBQQFBV33dURERNbUs6fxho+1tUBGhuE8lYwMoL7e+PimJgkxWVnAZ5+p9WFhxkElMJBLFBNR13G4ULJ48WKUlJTggQcewNKlS63dHCIiIrPy8ADGjJGiqK+X4KE/9Cs9HaipMX2O06elbN+u1vXvbxxUhgzhEsVEdGPsNpQUFRVh7ty5usf11275pKSkYNy4cbr6ZcuWYfny5brHJSUlKCgoQEVFhcXaSkREZEvc3NQg8cgjUtfYCBw/rk6oT02VUl5u+hwXLgDffSdF4eUF3HyzYVCJjOSEeiJqm92GkqamJpSb+EvZ2NhoUM+ldomIiNrm4iIBIjISuO8+qdNqgbNn1YCilIIC0+eoqAD275eicHMDRowwDCoxMUAXLHRJRN2I3YaS4OBgHDt2rMPH3cickHnz5mHevHkdPo6IiMieaTRAaKiUe+9V60tLjYPKiROmlyiurzeeUK/RAMOGGQ//6tfP3FdERLbKbkMJERERWYefn/Hu9BUVMi9Ff/hXVpas8tWSViv7rBw7BmzerNYHB0s4GTlSLaGhnKdC5AgYSoiIiKjTvLyASZOkKJQJ9fo9KkePApWVps9x/ryUr79W67y9ZbiXElJuvlmGg3l4mPNqiMjSGEqIiIjILPQn1Cuam4GTJ42Hf5WWmj7H1avG81SU/VRuvtkwrPTvb86rISJzYighIiIii3Fykvkkw4YBCxdKnVYLFBYa9qakpQF5eabPob+fyuefq/WBgYYhZeRIYOhQCTFEZNsYSoiIiMiqNBogKEjKnDlq/dWrstFjWppaMjNlQ0hTioqkfPutWtezJxAdbRhWoqO5+heRrWEoISIiIpvk7W08T0XZTyUtTe1RSUuTfVNMqa4GDh2SotBogJtuMuxRGTmSu9QTWRNDCREREdkN/f1U/ud/1PriYsMelaNHZXUvU8sUa7USbI4fB7ZuVev79TMe/hUeDri6mvOKiAhgKCEiIqJuICAAmDVLiqKqSoZ76feopKdLvSllZcAPP0hRuLlJAIqJkaASEyOFk+qJuhZDCREREXVLvXoB48ZJUTQ3ywR6/R6VtLTWd6mvr1dfqy8gwDCo3Hyz9Kq4uZnlUoi6PYYSIiIichhOTjKf5KabgF/8Qq0vKzPsUUlLA3JzZQ6LKcXFUr7/Xq1zdQWGDzcMKjExgL+/GS+IqJtgKCEiIiKH168fMHOmFEVdHZCTI0O+jh5Vv7a2p0pDg7wmPd2wvn9/46AyfDh7VYj0MZQQERERmeDurk5811dcbBhU0tOB7OzWe1UuXAD++18pChcXCSYt56oEBHAFMHJMDCVEREREHRAQIOX229W6+noZ7qUfVI4eBUpKTJ+jsVH2YMnIAP7xD7Xez884qERGSkAi6s4YSoiIiIg6yc1NDRH6SkrUkKIElexsGeplSmkpsHu3FIWzMxARIZs+6peQEPaqUPfBUEJERERkJv7+wG23SVE0NMgeKvrzVNLTZTd6U5qagKwsKZs3q/VeXsZBJToa8PEx7zURmQNDCREREZEFuboCI0ZIue8+tb601LBHJT1dgkh9venzVFQABw5I0RcUZBhSYmKkp4VDwMiWMZQQERER2QA/P+MVwBoaZOf59HR1DkpGBnD2bOvnKSiQ8p//qHXOzrKPiqkhYE5O5rsmovZiKCEiIiKyUa6uQFSUlMWL1fqrV2W3eiWkKKGlvNz0eZqaZC5LdjawZYta7+kpPTZKj4oSVnx9zXpZREYYSoiIiIjsjLc3MHGiFIVWKz0k+j0qGRmy10prQ8AqK4GDB6XoGzDAuFdl+HDAw8N810SOjaGEiIiIqBvQaIDgYCl33qnWK0PAWoaVM2daP1dhoZTvvlPrnJ2Bm25SQ4oyL2bwYHmOqDMYSoiIiIi6Mf0hYIsWqfVXr8pE+pZDwC5fNn2epibZiyU3F9i2Ta338JC9VKKi1KAyYgQwcCCXLKb2YyghIiIickDe3sCECVIUWq30kLTsVcnObn0IWG0tkJIiRZ+Xl4STlmGlf3+GFTLGUEJEREREACQsBAVJmTVLrW9sBE6cUHtUsrJkon1engQZUyoqgMREKfr69TMOK1FR3F/F0TGUEBEREdF1ubjIRPfhw4EFC9T66moZzpWZaVjOnWv9XGVlwN69UvQFBRmGlBEjZFhYr17muCKyNQwlRERERHRDevYEYmOl6LtyRYZ8tQwrFy60fi5lfxX9yfUaDRAWZhxWwsO5GWR3w1BCRERERF2qd2/j+SqAhJKsLHX4l1KuXDF9Hq0WOHVKyo4dar2zMzBsmBpUlDJ0qEzsJ/vDUEJEREREFtG/v5Tp09U6ZX8VJaAogSUrC6ipMX2epibZfyUnx3AlMFdXCSvKamBRUfLvm25iWLF1DCVEREREZDX6+6voT65vbgZOnzYOK7m5sveKKQ0Nak8Mw4p9YSghIiIiIpvj5AQMGSLlnnvU+oYGWQlMP6xkZQEnT0oPiimthRUXFwkr+kElKophxRoYSoiIiIjIbri6SniIjDRcCayuTnauz8qSSfbK1xMnWg8rjY3ymuzs1sOKfu8Kw4r5MJQQERERkd1zdweio6XoU8KKflDJymp/WNHXWlgZOhRwczPPdTkKhhIiIiIi6rauF1ZOnDAMKp0NK0pQGT5c/j1sGJcubi+GEiIiIiJyOO7u6v4n+urrTQ8DO368fWHliy/UemVejLLxZGSkfI2IALy8zHdt9oihhIiIiIjoGje364cV/V4VZc5KY6PpczU3y/MnThjuswIAAwcaBhXla9++5rkuW8dQQkRERETUhuuFFWUYWFaW7J2i9Ky0tnQxAJw7J+X77w3r+/c37lmJjAQCA2X55O7KbkNJaWkpEhISkJmZiYyMDOTk5KCurg5jx47Fpk2bOnw+rVaL1NRUxMfHIzk5GadOnUJlZSW8vLwQGRmJuXPn4q677oKmO/82EBEREVGHuLmpE971NTYCeXlqSFE2e8zJAaqrWz/fhQtS9u0zrPf2Nt2zEhoqw8Tsnd2Gkl27dmHt2rVddr6DBw9i6dKluscDBw5EUFAQCgoKkJCQgISEBOzatQvvvPMO3Li8AhERERFdh4sLEB4uZe5ctb65WXpIlKCi/7W8vPXzXb0KHDokRZ+Hh8xR0Q8qw4fb34pgdhtKPD09MXHiRERHRyM6OhrZ2dl47733bvh8Wq0WwcHBePDBBzF79mz01RvQ9+9//xurV6/G3r178dZbb+G5557riksgIiIiIgfj5ASEhEi58061XqsFSkqMg0pODlBc3Pr5amuBtDQp+lxcJJiMGgWsWiWBxZbZbSiZP38+5s+fr3tcUlLSqfPFxMTgP//5D1xN7Igzd+5cFBcXY926dfjiiy/wzDPPwKk79JMRERERkU3QaICAACnTpxs+d/myOvRLP7CcPdv6+RobgdxcKWfPAgkJ5m1/Z9ltKOlqnp6e131+ypQpWLduHcrLy3Hp0iX069fPQi0jIiIiIkfm4wNMnChFX1WVhI6WgeXkScPliwMCLNveG8FQ0k61tbW6f3t4eFixJUREREREQK9ewOjRUvTV1Ukwyc6Wf99zj3Xa1xEMJe20a9cuAEBERESbvSpERERERNbi7m56RTBbxlDSDpmZmdi8eTMA4NFHH23XMZs3b8bWrVvb9dq8vLwbbhsRERERkb1jKGlDWVkZVqxYgcbGRtx2222YPXt2u44rLS1FVlaWmVtHRERERGT/GEquo6KiAsuXL0dhYSGioqLw6quvtvtYPz8/RLWzzywvL89gzgoRERERkSNhKGlFVVUVli1bhuzsbNx00034+OOPOzSXZNGiRVi0aFG7Xjtv3jz2qhARERGRw+JmGybU1NTgl7/8JdLS0hAaGor169fDx8fH2s0iIiIiIuqWGEpaqKurw2OPPYbDhw8jKCgIGzZsgJ+fn7WbRURERETUbTGU6GloaMCKFSuQmJgIf39/bNy4EYGBgdZuFhERERFRt+ZwoWTx4sWYMWMGNmzYYFDf1NSEZ555Bvv27YOfnx82btyIgQMHWqeRREREREQOxG4nuhcVFWHu3Lm6x/X19QCAlJQUjBs3Tle/bNkyLF++XPe4pKQEBQUFqKioMDjft99+i++++w4A4Obmht///vetfu/Vq1cjMjKyKy6DiIiIiMjh2W0oaWpqQnl5uVF9Y2OjQX17l9pVQg0AFBQUoKCgoNXXtgw0RERERER04+w2lAQHB+PYsWMdPi4+Pt5k/bx58zBv3rzONouIiIiIiDrI4eaUEBERERGRbWEoISIiIiIiq2IoISIiIiIiq2IoISIiIiIiq2IoISIiIiIiq2IoISIiIiIiq7LbJYG7k/PnzwMA8vLyuCwxEREREXULeXl5ANTPutfDUGID6urqAMhGj1lZWVZuDRERERFR11E+614PQ4kN8PX1xaVLl+Du7o7g4GCLfu+8vDzU1tbCw8MDQ4YMsej3Juviz95x8WfvuPizd1z82Tsma//cz58/j7q6Ovj6+rb5Wo1Wq9VaoE1ko+bNm4esrCxERUVh+/bt1m4OWRB/9o6LP3vHxZ+94+LP3jHZ08+dE92JiIiIiMiqGEqIiIiIiMiqGEqIiIiIiMiqGEqIiIiIiMiqGEqIiIiIiMiqGEqIiIiIiMiqGEqIiIiIiMiqGEqIiIiIiMiqGEqIiIiIiMiqGEqIiIiIiMiqXKzdALKuBQsWoLS0FH5+ftZuClkYf/aOiz97x8WfvePiz94x2dPPXaPVarXWbgQRERERETkuDt8iIiIiIiKrYighIiIiIiKrYighIiIiIiKr4kR3B3Xw4EGsX78eR48eRXV1NQYMGIBZs2bh0UcfRc+ePa3dPOpiWq0WqampiI+PR3JyMk6dOoXKykp4eXkhMjISc+fOxV133QWNRmPtppKF7Nu3D48++igAICgoCPHx8VZuEZnbvn37sG3bNqSlpaG8vBy9e/fGwIEDMW7cOKxYsQIuLvxI0N1cvnwZ69evx549e3D+/Hk0NDTA19cXo0aNwpIlSxAXF2ftJtINKC0tRUJCAjIzM5GRkYGcnBzU1dVh7Nix2LRp03WPbWhowMaNG7Fjxw7k5+fD1dUVERERWLJkCW6//XYLXYFpnOjugDZt2oRXXnkFWq0WAQEB8PX1xcmTJ1FfX48hQ4bg888/R58+fazdTOpCiYmJWLp0qe7xwIED4e3tjYKCApSXlwMApk2bhnfeeQdubm7WaSRZTFVVFebMmYPCwkIADCXdXWNjI1544QXs2LEDABAYGIh+/fqhvLwcxcXFaGhoQEpKCnr16mXlllJXOnPmDO6//36UlpbCyckJQUFB8PT0RH5+PqqqqqDRaPD8888bvDeQfdiwYQPWrl1rVN9WKKmrq8NDDz2E5ORkODs7Y+jQoaipqUF+fj4AYPny5Xj22WfN1u628LaIg8nMzMT//u//AgDWrFmDBQsWQKPRoKSkBI899hiysrKwevVqvPPOO1ZuKXUlrVaL4OBgPPjgg5g9ezb69u2re+7f//43Vq9ejb179+Ktt97Cc889Z8WWkiWsW7cOhYWFmDlzJnbv3m3t5pCZ/elPf8KOHTsQHR2NNWvWIDIyUvdcTU0NDhw4wJsR3dD/+3//D6WlpQgNDcW7776LoUOHApAPpn/5y1/wySef4PXXX8e0adMQGhpq3cZSh3h6emLixImIjo5GdHQ0srOz8d5777V53Ouvv47k5GQEBwfj73//OwYPHgwA2L17N5588kn8/e9/R2xsLGbMmGHuSzCJc0oczHvvvYfm5mbcc889WLhwoW64jr+/P9588004OTnh+++/R25urpVbSl0pJiYG//nPf/DAAw8YBBIAmDt3Ln79618DAL744gs0Nzdbo4lkIWlpafjHP/6BmTNn4tZbb7V2c8jMDh48iG3btiEoKAgbNmwwCCQA0KNHD8ycOROurq5WaiGZQ2VlJQ4dOgQAeO6553SBBADc3d3x29/+FiEhIWhsbMT+/fut1Uy6QfPnz8f69evx9NNP47bbbjN6XzelrKwMmzdvBgC88sorukACADNnzsSyZcsAAH/961/N0+h2YChxIFVVVfjpp58AyGY6LYWGhmL8+PEAgP/85z8WbRuZl6en53U/dEyZMgUAUF5ejkuXLlmqWWRhDQ0NWL16NTw8PPDHP/7R2s0hC1i/fj0A4OGHH4anp6eVW0OWUl9fD2V0/qBBg4ye12g0GDhwIAAZ3kfdX3x8PBoaGgw+6+lbtGgRACArK0s3nMvSGEocSE5ODurr6+Hm5oaYmBiTrxk9ejQA4OjRo5ZsGllZbW2t7t8eHh5WbAmZ0wcffIDjx49j5cqVCAgIsHZzyMzq6uqQkJAAAJgwYQJOnjyJV155BQ8//DB+9atf4a233kJBQYGVW0nm4Ovrq/t/PDU11ej56upq3YiI6Ohoi7aNrCMtLQ2A+jmvJX9/fwQHBxu81tIYShzI6dOnAQADBgxo9a65ckdFeS05hl27dgEAIiIieDe1m8rLy8MHH3yAqKgoLFmyxNrNIQvIzc1FQ0MDACA5ORlz587Fp59+ioSEBOzZswfvvfceZs2ahZ07d1q5pWQOzzzzDDQaDV577TVs27YNpaWlqKmpQXp6Oh577DGUlZXh7rvvbvVDKnUvZ86cAWC650xh7c+AnOjuQK5cuQIA6N27d6uvUZ5TXkvdX2Zmpm6cqbJELHUvWq0Wq1atQmNjI1588UU4Oztbu0lkAaWlpbp/KxPcV61ahYiICBQVFWHdunX49ttv8fzzz2Pw4MFG803Ivt19993w8vLC+++/j1WrVhk85+fnhz/96U+6ITvU/XXkM+DVq1ct0qaW2FPiQOrq6gDgunMLlBVYlNdS91ZWVoYVK1agsbERt912G2bPnm3tJpEZfP7550hJScF9993HoRoOpKqqSvdvDw8P/P3vf0dMTAzc3NwQEhKCN998E8OHD0dDQwP+9re/WbGlZC5nz57FxYsXdUsCh4eHo0ePHigtLcWXX36JEydOWLuJZCEd+QyoP6TbkhhKHIi7uzsA6LrzTamvrzd4LXVfFRUVWL58OQoLCxEVFYVXX33V2k0iMygpKcGbb74Jf39/PPnkk9ZuDlmQ/t/xe++91+gOqZOTk26Piv3793PlvW7mxRdfxNq1a+Hj44NvvvkG8fHx2LFjBw4ePIhHHnkER48exeLFizmvyEF05DOgteaWMpQ4kPYMzWpP9x7Zv6qqKixbtgzZ2dm46aab8PHHH3MuSTf10ksvobKyEqtWreLP2MHo/x0fMmSIydcoy4JWVVXpNlIl+5ebm4t//vOfcHV1xVtvvYWwsDDdcx4eHvjtb3+LCRMmoLKyEh988IEVW0qW4u3tDaB9nwGV11oa55Q4EGVzpMLCQjQ0NJjswlOWgeNGSt1XTU0NfvnLXyItLQ2hoaFYv349fHx8rN0sMpPs7GwActf0xRdfNHhO6aIvKirCpEmTAADvvPMOYmNjLdtIMgv9fQhaG7Kh35vCnpLuIzk5GVqtFiEhIQgKCjL5mkmTJiExMRGZmZkWbh1ZQ2hoKFJSUnD27NlWX2Ptz4DsKXEgw4cPh6urK+rr65Genm7yNcnJyQCAkSNHWrBlZCl1dXV47LHHcPjwYd1man5+ftZuFllAWVmZUamsrAQgH0aVuut17ZN98ff3130gPXfunMnXKPXu7u7o06ePpZpGZqY/n6gtypAd6t6Uz3UpKSkmny8pKcH58+cNXmtpDCUOxNPTE7fccgsAYOvWrUbPnzlzBgcPHgQAzJo1y6JtI/NraGjAihUrkJiYCH9/f2zcuBGBgYHWbhaZWXx8PI4dO2ayrF27FgAQFBSkqxs3bpyVW0xd6c477wQAfP311yY3yfviiy8AAGPGjIGLCwdPdBfKcK2zZ8+2OmdE2cNGf2gXdV8zZ86Eq6urwWc9fcoqnJGRkQgJCbF08wAwlDicxx9/HBqNBl999RW2bNmi2/H1woULePrpp9Hc3Ixbb70VERERVm4pdaWmpiY888wz2LdvH/z8/LBx40bdbr5E1H098sgj8PLywvnz57FmzRrdCjxarRaffvop9uzZA41Gw+XAu5lJkyahb9++aGhowMqVKw32naitrcVrr72GxMREAMA999xjrWaSBfXr1w8LFy4EAPzhD3/AqVOndM/Fx8fjo48+AgD8+te/tkr7AECjVT6VksPYsGEDXn31VWi1WgQGBsLHxwcnT55EfX09wsLC8Pnnn8PX19fazaQutHPnTjzzzDMA5K64v79/q69dvXo19ytwENu3b8cLL7yAoKAgxMfHW7s5ZCYHDhzAY489htraWnh5eSE0NBTFxcUoLS2FRqPBc889h0ceecTazaQuduDAAfz6179GdXU1nJycMGDAAPTq1Qv5+fmoqakBANx333344x//aOWWUkcVFRVh7ty5usf19fWorq6Gi4uLwYImy5Ytw/Lly3WPa2trsXTpUqSmpsLZ2Rk33XQTqqurdXNJHn74Yfzud7+z2HW0xL5aB7R06VKEh4fjk08+QXp6Oi5evIgBAwZg1qxZePTRR9GrVy9rN5G6mP6Y4YKCgusuAVlRUWGJJhGRhUycOBFfffUVPvjgAxw4cAC5ubnw9PTEjBkz8NBDD2Hs2LHWbiKZwcSJE7Fjxw5s2LABBw4cQGFhIUpKStCnTx9MnDgRCxYswLRp06zdTLoBTU1NJlfLa2xsNKhvud+Ih4cHPv30U2zYsAFff/01zpw5A1dXV4wdOxb3338/7rjjDjO3/PrYU0JERERERFbFOSVERERERGRVDCVERERERGRVDCVERERERGRVDCVERERERGRVDCVERERERGRVDCVERERERGRVDCVERERERGRVDCVERERERGRVDCVERERERGRVDCVERERERGRVLtZuABEREVlHYWEh3nzzTWRmZuLChQvQarUICgrCrFmzsHTpUnh6elq7iUTkIBhKiIiIHFRZWRlKSkpw2223ISAgAM7OzsjMzMTf/vY3xMfHY8uWLXB1dbV2M4nIAWi0Wq3W2o0gIiIi2/HRRx/h9ddfx4cffoipU6dauzlE5AA4p4SIiIgMBAcHAwCuXLli5ZYQkaNgKCEiIotZt24dwsPD8eGHHxo9t2TJEoSHh+Odd96xQsvM5/nnn0d4eDief/55azelVXV1dbh06RKKioqwd+9erFu3Du7u7hgzZozRax955BGEh4cjMTHRCi0lou6KoYSIiCyiuLgYGzZsgK+vL+6//35rN8cm3XPPPQgPD8eBAwcs+n23bduGCRMmYNq0afjlL38JjUaD9957D4GBgUavXbFiBQDgtddeQ3Nzs0XbSUTdFye6ExGRRaxbtw61tbX4zW9+g549e1q7OTanoKAAubm58Pb2xtixYy36vW+99VYMHjwYFRUVSE1NRVJSEiorK02+duTIkbjllluwf/9+7NixA3PnzrVoW4moe2JPCRERmV1JSQm+/vpruLq64uc//7m1m2OTdu/eDQCYMmUKXFwse88wICAAEydOxB133IHnn38ey5cvx8qVK1vtsVm8eDEAmRBPRNQVGEqIiMjstm7diqamJkydOhV9+vSxdnNskhJKZs6caeWWALfffjvc3d3xr3/9y+TzU6ZMQZ8+fXDixAkkJydbuHVE1B0xlBAR2ZmGhgZs3LgRc+fORWxsLCIjIzF+/Hj85je/wenTp63dPCNarRZffPEFAGDOnDk3fJ4vv/wSUVFRCA8Px7p163T1+hPkGxsbsWHDBsydOxejRo3ChAkT8PjjjyM3N1f3+pqaGrz33nuYM2cORo4ciXHjxuHJJ59Efn5+m204dOgQfvOb32Dy5MkYMWIExo0bhwcffBD/+te/0NTUdMPXduXKFRw5cgSurq6YMmWKVa5NX1NTExobG3H16lWTz7u5ueH2228HIIGTiKizOKeEiMiOnD59GitXrsSxY8cAAJ6ennB2dsbly5fx3Xff4cCBA9i2bRvCwsKs3FLV8ePHUVxcDACIi4u7oXN8+OGH+L//+z84OTnhj3/8I+677z6j1zQ2NmLZsmVITEyEq6srXF1dcenSJezevRuJiYn49NNPERwcjIcffhjZ2dlwd3eHRqNBeXk5vv32WyQlJeGLL77AgAEDTLZh7dq12LBhAwBAo9HAy8sLFRUVOHjwIA4ePIgdO3bg3XffvaFd0Pfu3YvGxkZMnjzZ5PHmuraysjL069fP6Ptt3rwZTU1NuPnmm1ttc1xcHLZu3Yr9+/d3+HqJiFpiKCEishOnTp3C4sWLUV5ejjvuuANPPfUUwsLC0NjYiJ07d2LVqlWoqKjAa6+9hvfff9/azdU5cuQIACAwMBB+fn4dOlar1eKVV17Bpk2b4Obmhtdffx2zZs0y+drPP/8cTk5OeOuttzBz5ky4uLggIyMDTz/9NM6dO4dXXnkF/fr1w5UrV/Dxxx9j4sSJAKT34+mnn8bFixfx5ptv4o033jA692effaYLJAsXLsSKFSvg5+eH6upqbN26Fa+//joOHjyI1atXG/TitFdbQ7fMdW1vvPEGTp48iUmTJmHAgAGorq5GUlIS9uzZg7CwMDzwwAOttlkJLGVlZcjLy8OQIUM6fN1ERAoO3yIisgMNDQ1YuXIlysvLsXDhQrz99tu63hAXFxfMnTsXS5YsAQD8+OOPqK2ttWZzDRw9ehQAEBER0aHj6uvr8dRTT2HTpk3w8vLCRx991GogAYCrV6/i3XffxaxZs+Dq6gqNRoOYmBi89NJLAIDU1FT89NNPWL9+PW655RY4OTnByckJEyZMwDPPPAMA+O9//4uGhgaD89bW1ur2TpkzZw7WrFmjC1c9e/bE0qVLdXuQfPPNN8jMzOzwdf7000/QaDSYMWOGRa/ttttuQ79+/fDll1/ipZdewltvvYWCggI89thj+OKLL+Dt7d1qu0NDQ3WrqKWlpXXomomIWmJPCRGRHdi+fTuOHz+OoKAgrFq1yuRrpk+fjk8++QSNjY0oKCiwmTvXFy5cAAD4+Pi0+5jKyko8/vjjOHToEPz8/PDRRx+1GWpGjx5tcnjY2LFj4ebmhvr6etxxxx0ICQkxes3kyZMBSAA5e/Yshg4dqnsuISEB5eXlAIAnnnjC5Pf+n//5H3zwwQcoLS3Fzp07MWLEiPZeKhITE1FdXY3o6Gj4+/tb9NpmzpzZqYn1Pj4+qK6u1v2MiYhuFHtKiIjswObNmwEADzzwANzc3Ey+Rn8uglarxaFDhxAeHo5//vOfJl/f1vNd5dKlSwDQ7lW3SktLcf/99+PQoUMIDQ3F5s2b29XLEhMTY7Le2dlZF4iio6NNvqZv3766f1+5csXgOaXnIzAwsNW5Os7Ozhg/frzB69urPatumevaOqt3794A1J8xEdGNYk8JEZGNKykpQXZ2NoDrf3AtLS3V/TsgIAAXL140e9vao66uDgBaDVMtbdmyBQDg7u6ODRs2mNxV3JRevXq1+pyy70drr9HfF6SxsdHgOeW/Y2u9GIqAgACD17eHVqtFfHw8ANnAsDXmurbOcnd3B6D+jImIbhR7SoiIbFxKSgoA6WkYOHBgq69T7tCHhobe0ApQ5qLcyW/vXfrp06fDy8sLdXV1eOGFF1BTU2PO5llVeno6SktLMWjQINx0003Wbk6HKT/TjgzNIyIyhaGEiMjGZWVlAUCbK1cpw4CmTp3a6e9ZU1ODt99+G3fccQdGjBiB8ePH49lnn0VRUVGHz9XRUBIVFYX169ejd+/eSExMxKOPPorq6uoOf9+uogx/UpY1bo3yvP5wqbbY0oaJN4KhhIi6CkMJEZGNU4ZuVVZWtvqagwcPIisrCxqNBgsWLDB4rqamBpcuXTIqFRUVJs9VX1+Phx56CJ988gkmT56M1atXY+HChdi3bx8WLlzY4WFhysTqc+fOtfuY6OhobNiwAX369EFSUhKWL1+OqqqqDn3frqJMWi8uLm51c8qmpiYcOnQIQOtzO0z54YcfANhnKKmsrMTly5cBwGYWVSAi+8VQQkRk45SekqKiIhw/ftzo+UuXLulW5Lr33nsNVlcCgD//+c+YMGGCUfn1r39t8vt9+umnSE9Px/r167Fq1SosXLgQTz31FD799FOUlZXho48+6lD7lVWjcnNzUV9f3+7jIiMjsXHjRvj4+ODIkSNYtmzZdYOZuUyaNEk3Sf+vf/2rydds3rxZtwLV7Nmz23XeM2fOIC8vDz4+PoiNje2StlpSZmYmmpub4eLiYpftJyLbwlBCRGTDCgoKdMvRenl54dlnn8XJkycByKTlvXv3YuHChTh37hyGDBmC3//+90bneOCBB7B+/Xqj8rvf/c7k99y1axeGDx+OkJAQg54Vf39/hISEIDExsUPXMHr0aLi4uKChoQE5OTkdOjYiIgIbN26Er68vUlJSrBJMPDw8sGLFCgDAzp078cc//hFlZWUApBfq008/xdq1awEAP/vZz9q9HLAydGv69OlwdnY2Q8vNKz09HYCEx+tNxCciag+uvkVEZMOUoVt+fn548skn8Yc//AGzZ8+Gt7c3amtrdT0PUVFReP/99+Hl5WV0jsGDB+t2+NbX2gfhU6dOoba2FhMmTDD5fP/+/Tt0DZ6enpg6dSp2796N+Ph43U7g7RUeHo5NmzbhwQcfRGpqKh566CF8/PHH193Yr6vdf//9OHfuHDZs2IAtW7Zg69at8Pb2RlVVlW5Fq3Hjxuk2M2wPe59PoqwaNmfOHCu3hIi6A4YSIiIbpqyoFRkZifnz56NXr15Yv349Tp48CRcXF0RGRuKee+7BggULDJZ+7QytVouYmBg89dRTJp9v79K++hYuXIjdu3fj66+/xpNPPgmNRtOh44cOHYpPP/0UDz74INLT07F06VLdZHhLeeGFFzB9+nR8/vnnSElJQXl5OXr16oWIiAjcc889mDt3brt7PC5duoTU1FR4eHhg0qRJZm551zt37pyu/XPnzrV2c4ioG2AoISKyYUpPyfDhwwEAd955J+68806zfs+QkBCUl5eb7F25UZMnT8agQYOQn5+PI0eOYMyYMUav2bRp03XPMWTIEOzfv7/DxwHqXf3rOXbsWJuvGT9+vG6TxPZ69dVX8eqrrxq1p7m5GRMmTECPHj1aPdaS19YRX331FQAZrmbJYEhE3RfnlBAR2TAllERGRlrse951113Iz8/Htm3bTD5/I7t3Ozk5YeXKlQCADz/8sFPt6w6UoVvX2zDRVlVXV+Ozzz6Dm5sbnnjiCWs3h4i6CfaUEBHZqJKSEt2EakuGkqVLl+Knn37CqlWr8NNPPyE2Nhaurq44f/484uPjcdttt+HZZ5/t8Hlnz56NjRs34scff0R6ejpiYmLM0Hr7EBsbi8jISLucT/LZZ5/h8uXLeOSRRxAUFGTt5hBRN8FQQkRko5SlgL28vBAcHGyx7+vm5oaPP/4Yn376Kb7++mvs3bsXLi4uCAgIwMSJE3HXXXfd0Hk1Gg3WrFmDH3744YZ6W7qT5cuXW7sJN6xnz55YsWIFHnzwQWs3hYi6EY1Wq9VauxFERGTsr3/9K9555x2MHTu2XXMLiIiI7BVDCRERERERWRUnuhMRERERkVUxlBARERERkVUxlBARERERkVUxlBARERERkVUxlBARERERkVUxlBARERERkVUxlBARERERkVUxlBARERERkVUxlBARERERkVUxlBARERERkVUxlBARERERkVUxlBARERERkVUxlBARERERkVX9f886WYsApucsAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 6))\n", "colors = [\"k\",\"g\",\"r\",\"b\",\"grey\",\"orange\",\"cyan\"]\n", "for i, T in enumerate(Temperatures):\n", " rho = []\n", " for state in states[i]:\n", " rho.append(state.vapor.partial_density[0] / MOL * METER**3)\n", " plt.plot(np.array(rho)/1000, gamma[i], label=f\"{T:.2f} K\", color=colors[i])\n", " rho_exp = data[np.isclose(data[:, 0], T, atol=0.001),1] / mw_he * 1e6\n", " sur_tens_exp = data[np.isclose(data[:, 0], T, atol=0.001),2]\n", " plt.plot(rho_exp/1000, sur_tens_exp, linestyle=\"None\", marker=\"o\", color=colors[i])\n", " tr = np.array([T/tc_hydrogen])\n", " s_corr = surftens_mulero2012([0.00471037, 0.62668507, 0.51110266], tr)\n", " plt.plot([0.0], s_corr, \"*\", color=colors[i]) \n", " \n", "plt.xlabel(r'$\\rho_{\\rm{He}}$ (kmol/m$^3$)')\n", "plt.ylabel(r'$\\gamma$ (mN/m)')\n", "leg = plt.legend(loc='best', ncol=2, frameon=False)" ] }, { "cell_type": "markdown", "id": "8460f1d9-2cc1-4de4-9340-f77fc2ae55c8", "metadata": {}, "source": [ "# Calculate composition given partial helium density of each experimental point" ] }, { "cell_type": "code", "execution_count": 11, "id": "230ef919-038a-4b94-9bdb-1e3f8376ec83", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 4/4 [00:38<00:00, 9.61s/it]\n" ] } ], "source": [ "exp_states = []\n", "for T in tqdm.tqdm(Temperatures):\n", " # Loop all experiments on current temperature\n", " data_T = data[np.isclose(data[:,0],T),1:3]\n", " for j in range(np.shape(data_T)[0]):\n", " rho_he_j = data_T[j,0] / mw_he * 1e6\n", " surftens_exp = data_T[j,1]\n", " # Interpolate to get initial guess, x0: rho_he(x0) ~= rho_he_j\n", " x0 = polynomialfit[str(int(T))](rho_he_j)\n", " # Solve for rho_he(x) = rho_he_j\n", " x = fsolve(density_error, x0, args=(T, eos, rho_he_j))\n", " exp_states.append([x[0]/1000, surftens_exp, T])" ] }, { "cell_type": "markdown", "id": "b4faefd0-c3ef-4fbf-92da-96fd2d32830e", "metadata": {}, "source": [ "# Calculate state and surface tension for the experimental points" ] }, { "cell_type": "code", "execution_count": 12, "id": "d161e32a-ae7d-4627-ad99-071bad4bf29e", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 32/32 [00:05<00:00, 6.26it/s]\n" ] } ], "source": [ "states = []\n", "for x, s_exp, T in tqdm.tqdm(exp_states):\n", " x_sol = np.array([x, 1-x])\n", " state = PhaseEquilibrium.bubble_point(eos, T * KELVIN, x_sol)\n", " states.append([state, s_exp, T])" ] }, { "cell_type": "code", "execution_count": 13, "id": "0dd3e0d3-c50c-4509-ae94-ae20e06ff5ef", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "100%|████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 32/32 [01:18<00:00, 2.46s/it]\n" ] } ], "source": [ "sft = []\n", "for state, s_exp, T in tqdm.tqdm(states):\n", " sft.append({\n", " \"dft\": PlanarInterface.from_tanh(state, 1024, 200 * ANGSTROM, cp.temperature).solve().surface_tension / (MILLI * NEWTON / METER), \n", " \"exp\": s_exp,\n", " \"T\": T}\n", " )" ] }, { "cell_type": "markdown", "id": "ff8020ed-c320-4687-b7e5-4c63ba98c5c8", "metadata": {}, "source": [ "# Calculate mean absolute deviation (MAD)" ] }, { "cell_type": "code", "execution_count": 14, "id": "a531f7ac-ba7b-4c40-a851-cdad9dbe972f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MAD=8.1 %\n" ] } ], "source": [ "df = pd.DataFrame(sft)\n", "mad = 100*np.sum(np.abs((df.dft-df.exp)/df.exp))/df.exp.shape[0]\n", "print(f\"MAD={mad:.1f} %\")" ] }, { "cell_type": "markdown", "id": "41985130-7141-4ba0-8e10-b8abcc44561c", "metadata": {}, "source": [ "# Plot error map" ] }, { "cell_type": "code", "execution_count": 15, "id": "4f6ae846-8eff-41e8-9b14-d025a0f2c7d5", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(9, 6))\n", "smax = 3\n", "err_fan = 0.1\n", "groups = df.groupby('T')\n", "for i, res in enumerate(groups):\n", " name=res[0]\n", " group=res[1]\n", " plt.plot(group.exp, group.dft, \"o\", color=colors[i], label=str(name))\n", "plt.plot([0, smax], [0, smax], color=\"black\", linestyle=\"dashed\", alpha=1.0, lw=1.5)\n", "plt.plot([0, smax*(1+err_fan/2)], [0, smax*(1-err_fan/2)], color=\"black\", linestyle=\"dotted\", alpha=0.5, lw=1.5)\n", "plt.plot([0, smax*(1-err_fan/2)], [0, smax*(1+err_fan/2)], color=\"black\", linestyle=\"dotted\", alpha=0.5, lw=1.5)\n", "plt.ylabel(r'$\\gamma$ (mN/m)')\n", "plt.xlabel(r'$\\gamma_{\\rm{Exp.}}$ (mN/m)')\n", "plt.xlim(1, smax)\n", "plt.ylim(1, smax)\n", "leg = plt.legend(loc='best', ncol=2, frameon=False)" ] }, { "cell_type": "code", "execution_count": null, "id": "673f643f-2c2e-4b70-a0d3-7a5ec42b22b5", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.6" } }, "nbformat": 4, "nbformat_minor": 5 }