{ "cells": [ { "cell_type": "code", "execution_count": 21, "id": "6150a26e-767d-4735-ba5a-ee097684c917", "metadata": {}, "outputs": [], "source": [ "from feos.si import *\n", "from feos.eos import *\n", "from feos.dippr import Dippr\n", "from feos.saftvrmie import *\n", "\n", "import numpy as np\n", "import pandas as pd\n", "import seaborn as sns\n", "import matplotlib.pyplot as plt\n", "\n", "colors = sns.color_palette(\"Dark2\", 12)\n", "sns.set_context(\"notebook\")\n", "sns.set_style(\"ticks\")\n", "sns.set_palette(\"Dark2\")" ] }, { "cell_type": "markdown", "id": "f0309d4e-cc9b-460c-b9fa-96d3d005664e", "metadata": {}, "source": [ "# Validation of SAFT-VR Mie implementation\n", "\n", "In this notebook, we reproduce some of the figures presented in the original [publication of Lafitte et al. (2013)](https://doi.org/10.1063/1.4819786)." ] }, { "cell_type": "markdown", "id": "25674fe2-eb5c-474d-9943-81bc4a5615aa", "metadata": {}, "source": [ "# Phase diagrams of LJ and Mie fluids without chain contribution" ] }, { "cell_type": "code", "execution_count": 22, "id": "315609a2-a2c6-4ba4-bca0-b0ed1b0d4232", "metadata": {}, "outputs": [], "source": [ "exponents6 = [\n", " (8, 6),\n", " (10, 6),\n", " (12, 6),\n", " (15, 6),\n", " (20, 6),\n", " (36, 6)\n", "]\n", "\n", "other_exponents = [\n", " (12, 6),\n", " (14, 7),\n", " (18, 9),\n", " (24, 12)\n", "]\n", "\n", "def sample_exponents(exponents, npoints):\n", " to_reduced_density = MOL / METER**3 * NAV * ANGSTROM**3\n", " to_reduced_pressure = PASCAL * ANGSTROM**3 / KB / KELVIN\n", " \n", " result = {}\n", " for (lr, la) in exponents:\n", " record = SaftVRMieRecord(1.0, 1.0, 1.0, lr, la) \n", " eos = EquationOfState.saftvrmie(SaftVRMieParameters.from_model_records([record]))\n", " cp = State.critical_point(eos)\n", " dia = PhaseDiagram.pure(eos, 0.3 * cp.temperature, npoints)\n", " df = pd.DataFrame(dia.to_dict(Contributions.Residual))\n", " df['density liquid'] *= to_reduced_density\n", " df['density vapor'] *= to_reduced_density\n", " df['pressure'] *= to_reduced_pressure\n", " result.update({(lr, la): df})\n", " return result" ] }, { "cell_type": "code", "execution_count": 23, "id": "cd8fdba3-837c-48d2-b7c5-cb9e4cafbc74", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 166 ms, sys: 6.98 ms, total: 173 ms\n", "Wall time: 178 ms\n" ] } ], "source": [ "%%time\n", "diagrams6 = sample_exponents(exponents6, 250)\n", "other_diagrams= sample_exponents(other_exponents, 250)" ] }, { "cell_type": "code", "execution_count": 24, "id": "4e2f7f34-38ab-47d2-8273-862a264cbe72", "metadata": {}, "outputs": [ { "data": { "image/png": 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ZCYW5JBblEF+YTUxeJtF56UTnpZOv017zHFe1Pa09/GntEUAbjwA6eAXj7+hau4ELgtCg1cRnaJ1rWRHqN7PZzOnsFDYnnmVLwjlO56Rcsd9OoaSLTxidvUNo7xVEW89AXNX2Voq2Zjko1TR396W5u+8V281mM+mlhUTnphOVl0ZUbjpnclI5n5tGXlkJu1Ni2J0SU3F8gIMrXXxCyx9hNHH1QibZZD1IQRCEaxLJimB1ZrOZc7mp/HnpJGtjT5BYlFuxTyZJtPcMondAE3r5NaaDVzAqecP+ZytJEr72zvjaO9MnoEnF9jKjgajcNE5mJ3M6O4WTWUmcyUkluTiPPy4d549LxwHLOJjOPiF08Qmji3corT0DUDfw36kgCLZNvEMJVpOrLea3i0dZFX2Y6Lx/F+CyUyjpF9CUwUEtGBAUgYdGFParDLVcQRvPQNp4BlZsK9aXcTQzgUPpcRxKj+NoZgL5ulK2Jp5na+L5ivO6+ITSL6Ap/QIiaOrqXee70ARBqF9EsiLUKrPZzMH0WFZEHWJD/GnKjJZVP9VyBQMCIxgV1paBQc2wU6isHGn94KBU09u/Cb39LS0wepOR09kpHE6P42B6LIfT48kpK67oOnr38Ab87F3oF9iUfgFN6eUXLqZPC4JgdWKA7TWIAbbVr1hfxqrowyyPOsjF/MyK7S3d/Rgf0ZVRjdrhrNJYMcKGyWw2cyE/g13JF9iRHM2BtEsVCSSAXJLRwSuIAYHNGBbSknBXbytGKwjCZQsXLmTPnj0sX768Ytv27duZP38+ly5dws3NjSFDhjBjxgw0mhu/t65Zs4ZFixaRmJhIcHAw06dPZ9iwYbccmxhgK9Q5udpilp7bz5Jz+8grKwHAXqFiVKO2jI/oShuPANHlYEWSJNHU1Yemrj5MatmLUoOeg+mx/JMUxT/J0cTkZ3I4I57DGfF8eHQTTVy8GRrSkmEhLWkt/u4EwSpWrFjB3Llz6dSpU8W2yMhIpk+fzjPPPMPQoUOJj4/nzTffJC8vjzlz5lz3Wn/++Sevv/46r732Gr1792b9+vU8//zz+Pr60r59+9p4OZUiWlauQbSs3L6U4nwWnd7FiuhDlBos1WJDnDx4smUvxjZuj5NoRakTkopy+Scpmk0JZ9mTGoPeZKzYF+DgyrCQlgwLaUVnnxAxw0gQalh6ejpvvfUWBw8exNfXF09Pz4qWlRdffJHs7GyWLl1acfyaNWv4v//7P44ePYpKdXXXutlsZuDAgQwZMoRXXnmlYvvEiRPp0qULkydPvqU4RcuKYPNytcXMO7mD788fqOhOaOXuz1Nt+jE8pFWtF2ETbk+goxvjm3VlfLOuFOi0bEs8z8b40+xIjiK5OI/FZ/ey+Oxe/B1cGN2oHWMatb9qqrUg2CKz2YxeZ7z5gTVAqZLfUqvkmTNnUCqVrF27lvnz55Oc/G+xyMcffxzZ/7y/ymQy9Ho9RUVFuLu7X3W92NhYkpOTueuuu67Y/t1331U5tpomkhWhWpTodSw+u4cFp3ZSWF5SvptvGM+0GUBv/3DRXVAPOKs0jGncjjGN21Fq0LEz+QIb40+zOeEsKcX5fH1qJ1+f2klzN1/GNG7P6LC2oiCdYJPMZjNff7mP+Ljcmx9cA0LD3Jj6dI8qvy8OGDCAAQMGXHNfixYtrvhZr9ezbNkyWrVqdc1EBSzJCljW05s4cSJnz54lMDCQqVOnXvc+1iKSFeG2mMwmfo85xpwjf5NRWghYBs2+2mkYff2biCSlnrJTqBga0pKhIS3RGvRsTTrPHxePsT0pinO5aZyL3MicyL/p4deIB5t2ZmhwS7GWkWBT6vNbk8Fg4OWXX+bChQusWLHiuscVFVkqgr/yyitMnz6dF198kU2bNjFt2jSWLl1K9+7dayvkmxLJinDLzmSn8PqBP4nMiAcgxMmdlzoMZmRYGzF+oQHRKJSMCG3NiNDW5JaVsD7uFH9cPMbB9Dj2pl5kb+pFXNX23N24PQ827UwzN9FNJFiXJElMfbpHnesGqoyioiKeffZZDh06xFdffUWbNm0AePPNN/nrr78qjps8eTLBwcGAZYzKmDFjAGjevDlnz54VyYpQ9xXqtHx4dBM/nD+AyWzGXqHi2XYDmdSiZ4OvLtvQuantGR/RlfERXUkszOGXmCP8fCGSlOJ8vju7l+/O7qWDVzDjIrowMqwtdqK1RbASSZJQqevX+1VGRgZPPPEEycnJfPfdd3Tu3Lli34wZM5g4cWLFzy4uLly8eBGApk2bXnGd8PBw/vnnn1qJubLq19+UUON2JEXx8t7VpJbkAzAyrA3/1/lO/B1crByZYGuCnNx5of0dPNt2IDtTLrAq+hBbEs5xNDOBo5kJvHd4Aw827cyEZt0IdHSzdriCUKfl5+fzyCOPUFRUxIoVK4iIiLhiv4eHBx4eHldsa9myJQ4ODpw4ceKKadDR0dEVrS62QiQrQqXkl5Uy69A6fok5Ali6fD7qMZae/uFWjkywdXKZjAGBEQwIjCCjpJBfY46wPOoASUV5fH1qJ9+c3sUdQc15vHkPevg1FuOcBOEWzJkzh8TERBYvXoy7uzuZmf8W33R3d0cul191jkajYdKkScyfPx8fHx/atGnD+vXr2bt3L8uWLavF6G9OJCvCTe1Pu8QzO38mtSQfCYmJLXrwcoch2CtFSXyharztnXiqTT+mtOrD1sRzLD23nz2pMWxKOMumhLO0dPdjauu+jAhtjUJ29ZurIAhXMxqNbNiwAb1ezyOPPHLV/m3bthEYGHiNM2HatGnY2dnx+eefk56eTuPGjZk3bx5du3at6bCrRBSFuwZRFM5CbzIy9/g2vjyxAzNmQp08+Lz3vXT2CbV2aEI9ciEvg2Xn9vFLzJGKAoLBju482ao39zfpKNaJEoQ6piY+Q0Wycg0iWbFUoJ26YwVHMhMAuL9JR97pOhIHpdrKkQn1Va62mO/PH2DJ2X3klBUD4K524LEW3Xm0WXfcNA5WjlAQhMoQyUotaejJyoG0S0zZsZIsbRHOKg0fdB/DyEZtrR2W0ECUGnT8fOEIi07vJqEoBwA7hZJxTbswrXU/vO2drByhIAg3IsrtCzXKbDaz5Nw+3j20HoPZRHM3XxYPfJgQJ4+bnywI1cROoeLR5t0ZH9GF9XGn+frUP5zJSWXx2b38GHWIR5p1Y2rrvnjaOVo7VEEQaolIVgQASg16Zu5bze8XjwEwqlFbPu5xtxhEK1iNQiZnVKO2jAxrw86UC3x6bAvHMhNZeGY3P0Qd4LHmPZjaqo/oHhKEBkAkKwI52mIe3fo9RzMTkEsy/q/zMCa16CWmkAo2QZIk+gU0pa9/E3YkR/PpsS2cyEri61M7+f7cfia17MUTLXvhqra3dqiCINQQkaw0cHEF2Ty8ZSmxBVm4qOxYNGA8Pf0aWzssQbiKJEkMCIygf0BTtiSe45NjWzibk8oXJ7az7Nx+nmnbn0eb90AtqigLQr0jFnBpwI5lJjJq/dfEFmQR6OjKmjunikRFsHmSJDE4uAV/j3yaRf3HE+HqQ76ulHcPb6Df6k9Zc+k4JrPJ2mEKglCNRLLSQG1PiuLejYvI1hbT2iOAP++cRhNXb2uHJQiVJpNkDA9txeZRM/i459342DmRWJTL9J0/cde6r9mfdsnaIQqCUE1EstIAbYo/w8RtP6A16ukX0JRfhz2Jj72ztcMShFsil8l4sGlndt/9Ei+1vwMHhYoTWUncu3ERj2/9ntiCLGuHKAjCbRLJSgPzV+xJJu9Ygd5kZERoa5YOegRHUehNqAfslSpmtBvInnte4uGIrsglGZsTzzHwj8/58MgmSvQ6a4coCNVm4cKFPPzww1ds+7//+z8iIiKueAwYMOCm19q5cydjx46ldevWDBo0iBUrVtRU2LdMJCsNyO8Xj/HUzlUYzCbGNm7PV30fQCnWXxHqGS87J+b0GMPW0c/S178JOpOReSd30Hf1p/wVexJRB1Oo61asWMHcuXOv2h4VFcWUKVPYs2dPxeO333674bUOHTrE1KlT6devH+vXr2fy5MnMnj2bDRs21FD0t0YMm28g1lw6zrO7fsGMmQebduaD7mOQy0SuKtRfTVy9+XHw42xKOMusQ+tILMpl6j8rWe7biHe7jSLCzcfaIQpClaSnp/PWW29x8OBBQkNDr9hnNpuJiYnhySefxMvLq9LXnDdvHoMGDeKZZ54BIDg4mGPHjhEZGcnw4cOrM/zbIpKVBmBzwllmlCcq4yO68n73UcgkkagI9Z8kSQwNaUnfgKYsOLWT+af+YV/aJQb/+QVTWvXh2XYDsVMorR2mYAVmsxlzqd4q95bslLdUx+rMmTMolUrWrl3L/PnzSU5OrtiXkJBASUkJjRo1qvT1SktLiYyM5Msvv7xi+/vvv1/l2GqaSFbquT0pMUz9ZyVGs4m7G7cXiYrQINkplDzffhD3hnfg7UPr2JRwlvmn/mFd3EnmdB9Dn4Am1g5RqEVms5mc8SvRH0uxyv2VHQJwX/5glROWAQMGXHcMSnR0NADLly9n165dyGQy+vTpw3PPPYeT07XX04qPj8dkMiGXy3nmmWc4fPgw3t7ejB8/nnvvvbdqL6qGiU+teuxIRgKPbfueMqOBocEt+bTXPSJRERq0ICd3vhs4ge8GPIyvvTPxhTk8tPk7Zuz6mWxtkbXDE2pTPavQHR0djUwmw9vbm2+++YaZM2eyZ88epk2bhsl07bpDRUWWf/NvvvkmnTp1YsmSJYwZM4ZZs2bx66+/1mb4NyVaVuqp2IIsHtv6PaUGPX39mzC/34MoxGBaQQBgSEhLevqH89GRTSw9t5/fLx5je1IUb3UZwd2N24ulJuo5SZJwX/5gnesGupGpU6fy0EMP4ebmBkDTpk3x8vLivvvu49SpU+zfv5+FCxdWHH/XXXdx9913AzBq1CgmTJgAQPPmzYmPj2fZsmU21boikpV6KEdbzIQty8gpK6aNRwCLBowXJcgF4X84KtW8020kYxq355V9qzmbk8qzu39hY/xp5nQfg7f9tZvOhfpBkiQk+/qzUKtMJqtIVC5r0sTSvZmWlsYDDzzAsGHDKvY5OjpiMBgAS2LzX+Hh4axevbqGI64a0SdQz5Qa9Dy+7YeKEvrLBj2Kg6ijIgjX1d4riPV3TWdmxyEoZXI2JZxlwJrPWXvphLVDE4RKe/nll3n00Uev2Hbq1CnAkny4uroSEhJS8fDw8MDHx4fg4GBOnLjy33p0dDTBwcG1FXql2Hyycq3CN/9Lr9fz6aef0rt3b9q1a8f48eM5d+5cLUVoO8xmMy/t/Z3IjHhcVBqW3/G4+HYoCJWglMmZ3qY/G+56mlbu/uSVlTBt5yqm7FghxrIIdcKQIUPYv38/X331FQkJCezcuZPXXnuNESNG0Ljx9dd8mz59Oj///DMrVqwgMTGRn376id9//52JEyfWYvQ3Z9PJyvUK3/yvt99+m9WrV/P+++/z+++/4+7uzhNPPEFhYWHNB2lDFp3ZzZpLx1FIMhYNeFis9SMIVdTc3Ze/7nqK59oNRCHJWBd3ioF/zGVj/GlrhyYINzRw4EDmzp3Ltm3buOuuu3j99dcZPHjwTachjxo1ivfff58VK1YwbNgwli5dyltvvcXo0aNrJ/BKksw2WM7xv4VvfH198fT0ZPny5dc8NjExkTvuuINvvvmGfv36AVBQUMDo0aOZPXs23bt3r/L9Bw4cCMC2bdtu+TXUtt0pFxi3eQkms5l3u47ksRY9rB2SINRpp7KSeXb3L0TlpQNwT+MOvNd9lFieQhBuoiY+Q22yZeW/hW/atm17w2P37t2Lk5MTffr0qdjm7OzM9u3bbylRqYsSCnOY+s8qTGYz94V35NHmDeN1C0JNau0ZwIaRTzO9TT9kksRvF48y5M8vOZ6ZaO3QBKHBsckpIjcqfPO/YmNjCQoKYvPmzSxatIj09HRatGjBzJkzb9hPdznzu5bU1FT8/PyqHLc1lBp0TNz2A3llJbT1DOT97qPFtEtBqCZquYKZHYcyILAZT+/8ifjCbEavX8DLHYcwpVVvUbdIEGpJnf+fVlRURHx8PF9//TXPP/88CxYsQKFQ8NBDD5GdnW3t8Grcmwf/4lxuGp4aR74d8DAaUTpcEKpdF59QNo16hjtDW2Mwm3g/ciPjNi8hvaTA2qEJQoNgky0rVaFQKCgqKuLzzz+vaEn5/PPP6du3L3/88QeTJk265nk36ku7UauLLVl76QSrog8jITG/7wP4O7hYOyRBqLdc1fZ80+8hVl04zFsH/2J3Sgx3rPmCz3rfw6Cg5tYOTxDqtTrfsuLr64tCobiiy0ej0RAUFERSUpIVI6tZCYU5vLLPUrTn6Tb96OkfbuWIBKH+kySJh5p2YeNdT9PC3Y+csmIe3fo9sw9vxGAyWjs8Qai36nyy0rlzZwwGQ0XxGwCtVktiYiIhISFWjKzm6E1Gntq5ikJ9GR29gnmu/SBrhyQIDUq4qzdr75zG480ts+4WnN7JA5sWk1HSsMolCEJtqXPJitFoJDMzE61WC0CnTp3o0aMHr7zyCpGRkcTExPDyyy8jl8sZNWqUlaOtGZ8d28qxzEScVRq+6vsASrHmjyDUOo1CyTvdRvJNv4dwUKg4kBbL0LVfciDtkrVDE4R6p84lK6mpqfTq1YsNGzZUbJs3bx5dunRh+vTp3HPPPRQVFfHDDz/g7u5uxUhrxrHMROaf+geAj3qMJcip/r1GQahLRoS1YcPIp4lw9SGjtJD7/17MN6d2YYMlrAShzrLJonDWZqtF4bQGPUPXfklMfiajG7Xjq74PWDskQRDKleh1zNz/B6svHgNgaHBLPu99L04qjZUjE4Ta1WCKwgnX9umxrcTkZ+Jl58i7Xe+ydjiCIPyHvVLFF73vY0730ahkcv5OOMPIdV9zKT/L2qEJQp0nkpU64khGAgvP7ALgg+5jcNM4WDkiQRD+lyRJPNysG6uHT8HX3pkL+Rncte4rdiZHWzs0oR7Iy8vjzTffpE+fPnTo0IEHH3yQyMjIiv379+9n7NixtG3blqFDh7J+/fpKXXfNmjUMHz6c1q1bc+edd7Jx48aaegm3TCQrdYDOaODFPb9hMpsZ27g9Q0JaWjskQRBuoJ1XEOvvmk5Hr2DydVoe3rKUb8/sFuNYhNvy/PPPc+zYMT777DN+//13mjdvzsSJE7l06RIXL15k8uTJ9O7dm9WrV3Pvvffy8ssvs3///hte888//+T1119n3LhxrF+/nhEjRlTcx5bU+aJwDcHC07u5kJ+Bp8aRWaL7RxDqBB97Z34Z9iSv7V/DzxcimXVoPWdzUpnTfYyoNC1UWXx8PHv37mXlypV07NgRgDfeeIPdu3fz119/kZ2dTUREBM899xwAjRs35uzZsyxevPi66+SZzWa++OILJkyYwLhx4wCYOnUqkZGRHDp0iPbt29fOi6sEkazYuPjCbOaesAxSeqPLnbip7a0ckSAIlaWWK/ik5920cPfjnUPr+TXmKDH5mSwZOAEvOydrh9egmc1mdMZSq9xbJber8hpubm5uLFq0iNatW1dskyQJSZIoKCggMjKSQYOurLnVrVs3Zs+ejdlsvub9YmNjSU5O5q67rvwS/N1331UpttogkhUbZjabeePAWsqMBnr4NmJso3bWDkkQhCqSJImJLXoS4erDlH9WciwzkZHrvuaHOx6jiau3tcNrkMxmMx9vvZuLWUescv/Gnp14adBvVUpYnJ2d6du37xXbNm3aRHx8PK+99hp//PEHvr6+V+z39vamtLSU3Nzca5byiI2NBaCkpISJEydy9uxZAgMDmTp1aqUXE64tYsyKDdsYf4btSVEoZXKxmrIg1HG9/MNZe+c0Qp08SCzKZfT6r9mbetHaYTVgdfv99OjRo7z66qsMHjyYfv36odVqUalUVxxz+WedTnfNaxQVFQHwyiuvMGLECJYsWULPnj2ZNm3aTce61DbRsmKjSg16Zh1aB8C01n0JF9/ABKHOa+TiydoR05i47QcOZ8QzbtN3fNzzbu5t0tHaoTUokiTx0qDf6lQ30H9t3bqVF198kQ4dOvDJJ58AoFarr0pKLv9sZ2fHm2++yV9//VWxb/LkyQQHBwMwceJExowZA0Dz5s05e/YsS5cuve5YF2sQyYqN+vbMbpKL8/B3cGF6m37WDkcQhGrirnFg1ZBJvLDnN/6MPcFze34lviiHF9oNEq2ntUiSJNSKujcG8Mcff2T27NkMHTqUDz/8sKL1xM/Pj4yMjCuOzcjIwN7eHicnJ2bMmMHEiRMr9rm4uHDxoqVlr2nTplecFx4ezj///FOzL6SKRDeQDUorKeCrk/8A8FqnYdgpVDc+QRCEOkWjUDKv7/083aY/AHOPb2PG7l8oMxqsHJlgy1auXMm7777LuHHj+Oyzz67o9unUqROHDh264vgDBw7QoUMHZDIZHh4ehISEVDxcXV1p2bIlDg4OnDhx4orzoqOjK1pdbIVoWbFBHx/dRIlBRwevYEaFtbV2OIIg1ACZJOOVjkMIdnJn5j5Lmf7U4nyWDJwgSvQLV4mNjeX999/njjvuYPLkyWRl/VsZWaPR8PDDDzNmzBg++eQTxowZw86dO/n7779ZvHjxda+p0WiYNGkS8+fPx8fHhzZt2rB+/Xr27t3LsmXLauFVVZ5IVmzMqaxkfrlwFIC3u44QzcKCUM892LQzAQ6uPLnjR/anXeLejYtYPvgxMbVZuMKmTZvQ6/Vs2bKFLVu2XLFvzJgxfPDBB3z99dd8/PHHfP/99wQGBvLxxx/fdNzJtGnTsLOz4/PPPyc9PZ3GjRszb948unbtWpMvp8rEQobXYM2FDMdtXsLO5GixUKEgNDCns5MZv3kpWdoiQpw8WDnkcUKcPKwdliBUmVjIsJ47kHaJncnRKCQZL3W4w9rhCIJQi1p5BPDHnVMIdnQnvjCbMeu/4WxOqrXDEgSbIJIVG2E2m/no6GbA0iwsvlEJQsMT5uzJH3dOoZmbLxmlhdyzcSEH02KtHZYgWJ1IVmzEP8nRHEqPQy1X8Exb26ocKAhC7fGxd+a3YU/S2TuEAp2WhzZ/x5aEs9YOSxCsSiQrNuC/rSqPNuuOn4OLlSMSBMGaXNX2rBwykUFBzSgzGpi0/Uf+uHjc2mEJgtWIZMUGbIw/w6nsZBwUKp4SBeAEQQDsFCq+HfAw9zTugNFs4pldP/PzhUhrhyUIViGSFSszm83MO7kDgEkte+GucbByRIIg2AqlTM5nve9hfERXzJh5Yc9vLD9/wNphCUKtE8mKle1MucCp7GTsFEomtehp7XAEQbAxMknGnO6jmVj+/vDq/jUsPrPHylEJQu0SReGsbN4JS6vK+IiuuIlWFaswm82Y9VpM2iLMZUWYtEWY/vNsrvi52PJcWoj20kHkDu6o/CKQ1A7I1A7IVA5IantkagckleVZpnb4d3/5dkl1e4uYCQ2PJEm83WUEarmCr0/t5O1D69AaDWLdMKHBEMmKFR1Oj+NgeixKmZwnW/a2djj1gtlsxliQgT4rDkN2PPqsBPRZcRgLM8sTj+JrJCLFYDbd0v2KT6yv+kmSdGUyU/5nSe2A7PJ2Rw8Urn4VD7lL+bOTF5JMNIg2RJIk8WrHoWjkSj47vpUPjvxNmVHP82IBRKEBEMmKFV1erPCe8A5iBlAVGYtyKEs+gy75DLrks+jSo9FnJWDIjses197ydSWVPTKNIzK1I1L5s0zjUP7siFT+rM9ORG7vgkztiElXjLmsGFNZMSZdCeayEkxl/7ut+N+4zGbMZcUYy4oxVjVAmRy5sw8KN38ULr4oPIJReoah9ApF6RWG0jMMuYPrLb9+wbZJksTz7QehliuYc+RvPj++DTPwYntRRLIhyM7O5oMPPmD37t2UlZXRuXNnXnnlFRo3bgxYVln+4IMP2LVrF3K5nF69evH666/j7u5+w+uePHmSDz/8kFOnTuHm5sbdd9/N9OnTkdnQFyORrFjJuZw0tiWdRyZJTG3V19rh2Cyz2YwhKx5t7GG0cUcoiz9KWdIZjPlp1z9JklC4+qPwDEXpEYzSMxS5i68lCdE4lrdiOFYkJRXJidoeSSavuddiMlYkMpcTGFNZMWZdeVJTVlyx31iYiSEvFUN+Ksa8NAx5qRgLM8BkxJiXgjEvhbLr3Edm72pJXLwaofKLQOXbFKVfBCrfCOT2IimuD55q0w+1XMHbh9Yx9/g25JLEc+0GWTssoYY99dRTmEwmFi1ahIODA1988QWPPvoomzdvRi6X8/jjj+Po6MgPP/yAXq/ntdde45VXXuHbb7+97jVjY2OZMGECI0eOZPbs2URFRfHqq69iZ2fHE088UYuv7sZEsmIli89aBsgNC2lFIxdPK0djO8wGHdq4I5RG7aY0ejfaS4cxFmZe81iFRzCqgBao/Vui8m+G0jPUkqC4ByIpVNc8x5okmRzJzgnZLS5QZzYaMBSkY8xLtSQyeSnos+IxZMaiz4pDnxlr6e4qyaMs/hhl8ceuuobcxReVXzPUQa1RB7VBHdwOVUBLZEr17b48oZZNatkLk9nMO4fX8+mxrSgkOU+37W/tsIQakp+fT0BAAJMnT6Zp06aAZRHCUaNGceHCBWJiYkhOTmbLli14elo+U2bOnMmsWbMoKirC0dHxmtdduHAh4eHhzJo1C0mSCA0NJSoqiqNHj9baa6sMkaxYQba2iDWXjgM0+BlAZpOJssQTlJzeQsmZrZTG7MOsK73yILkCdWAbNGGd0IR1RBXYGrV/i1v+0K+rJLkCpVsASreA6x5j0hZVJC76jIvoUqPQpUWjSz2PMT8NY34apflplJ7/59+T5ApUfs0rkhdNSFvUQW2RO4kk2tY92ao3BrOJ9yM38uHRTchlMqa1Fi219ZGLiwuffvppxc85OTksW7YMX19fwsPDWbZsGd26datIVAB69+7N1q1bb3jdPXv2MGnSpCvGPT3zzDPV/wJuk0hWrGBF1CHKjAbaeATQyTvE2uHUOpNOS8mZLRQd+YPikxsxFmRcsV/m6IF9RG/smvZGE94ddVBbZCqNlaKtW2QaR9SBrVAHtrpqn7EkH11aFLqUc5QlnqQs4SRlCccxFeegSzqFLukUhftXVByvcAtAHdoRuyY9sAvvjjq0IzKVXW2+HKESprXui8Fk5KOjm3k/ciMKScaTrcSA/Zsxm82YjSVWubckt7+tQdFvvPEGv/zyCyqVigULFmBvb09sbCydOnVi/vz5rFmzBoPBQK9evXjppZdwdna+5nWKiorIzMzEycmJ1157jV27duHs7Mzo0aOZOHEicnnNdYtXlUhWapneZOT78qJOj7fo2WBG8Zu0RRSf3EBR5B8UndyAWVtUsU9SO2DfvD/2rQZj37w/Kv/mDeb3Upvk9i7YNeqCXaMuFdvMZjOGnCTKEk9QlnCCsoTjlCWcQJ9xEUNuMobcZIqPrS2/gBJNSAc0TbpjF94du/AeKNz8rfRqhP96pu0ADCYTnx3fyjuH1yOXySrqsghXM5vNZP/TB332PqvcX+nRE49+O2/5fe6RRx7h/vvvZ8WKFTz11FOsXLmSoqIi1qxZQ/fu3fn000/Jz89nzpw5TJs2jeXLl1/zXkVFlvfhDz/8kAkTJvDtt99y7tw5Zs+eTUlJCc8+++ztvMxqJZKVWrY+7hTpJQV42TlyV1gba4dTo8xGA8WnNlGwZxnFx9djNvw7JFThFoBjxzE4dhyNXZOeNjnGpCGQJAmlRxBKjyAc242o2G4qLaQs8QTaS4cpjdlH6YV9GPPT0F46iPbSQfI2zQVA4RGCffN+2LcYgH2LgShc/az0SoTn2g3EaDbxxYntvHXwL+wVKh5s2tnaYdmwuvuFKDw8HIDZs2dz4sQJfvzxRxQKBfb29nz66acolUrA0nV07733curUKeLi4njrrbcqrtGxY0c++OADAHr06MH06dMBaN68OTk5OcyfP58ZM2bYzBdHkazUsqVnLZn8wxHdUMvr569flxZN/u5lFOz9AWNeasV2pXdjHDuNxbHjGDRhnUW9EBsms3PCrmkv7Jr2wo3nKmZllV7YS2nMfrQx+ylLPIkhO56CPd9TsOd7AFT+LbBvORD7FgOwi+grZh/VIkmSeLH9HZQZDXxzehev7FuNk0rDiNDW1g7N5kiShEe/nXWqGygnJ4f9+/czZMgQFArLZ4dMJiM8PJyMjAx8fX0xm80ViQpAkyZNAEhKSmLAgAG0bdu2Yp9Go8HNzQ21Wl0xYPe/55WUlJCTk4OHh8etvsxqVT8/LW3U+dw0jmQmoJBkjI/oau1wqpXZZKTo6J/kbZlHadSuiu0yRw+cu4/DudcE1MHtbCZLF6pGkqTyWi6hOPcYB1haX0ov7qfk7HZKzm6nLP4oupSz6FLOkrdlHsjkaBp3w7HdCBza3YnKv4X4+69hkiTxeqdhFOi0rIw+xNM7f8JRqaZfQNObn9zASJKEpKg7VcOzsrJ4/vnnWbx4Mb17W8Yk6fV6zp49y4ABA3B1deWHH35Aq9Wi0VjG+EVHRwMQEhKCo6PjNWcEdejQgRMnTlyxLSoqCmdnZ1xdXWv2RVWBSFZq0cqoQwDcEdwcb/v6MZPFWJJPwa4l5G79CkNWnGWjJMOhzVCcez2KY/u7RBdPPSWzc8Kh1WAcWg0GwFiUTcm5fyg5u42Ss9vQp8egvbAX7YW9ZP36KkqvMBza3olDuxHYRfQR06VriCRJzOk+miK9lrWxJ5m0bTkrh0yki0+otUMTbkPTpk3p06cP7733Hu+99x4uLi4sXLiQgoICHn30UTQaDStWrOCFF17g2WefpaCggLfffpuuXbvSsmXL61536tSpPPbYY8ybN49Ro0Zx+vRpFi1axKOPPmpTA2wls9lstnYQtmbgwIEAbNu2rdquWWrQ0+nn2eTrtCy/4zH6B0ZU27WtwVCQQe7fn5G3fUHFYFmZoweu/Z7EZcAUlO6BVo5QsDZ9ZhzFJzdSdGIdpWd3XDFmSaZxwqHdnTh2vgeH1kPFLKMaoDMamLhtOTuSo3BWafh16JO09BADouuywsJCPv30U7Zu3UphYSGdOnVi5syZFd09cXFxzJkzh4MHD6JSqRg0aBAzZ8687mygy3bv3s3nn39OdHQ0Xl5ePPjgg0yaNOmWK9jWxGeoSFauoSZ+0b9fPMaMXT8T6OjK3rtfRl5Hx2sY8lLJ3fgpeTu+qaiHogpoidvgZ3DqPk586AjXZCorpuTMVoqOr6f4xPorKhBLGkcc25YnLm2GiX9D1ajUoGPc5iUcSo/DQ+PAH8On0MjFy9phCfVcTXyGim6gWnK5C+iBJp3rZKJiLM4jZ/0H5G2ZV7HGjTqsMx6j/g+HtneKsQjCDcnUDjh2GIVjh1GYTSa0lw5RFPk7hYd/w5CdQOHBnyk8+DOSxhGnjmNx7jUBu4i+YhD2bbJTqFg26FHu27iI0zkpPLBpMX8Mn0qAo6u1QxOEKrH5d4KFCxfy8MMPV/r4tWvXEhERQVJSUg1GVTWX8rM4mB6LTJK4r0kna4dTJSadlpyNnxH7cji5Gz7GrNeiCe9OwAsbCH5zP47tRohERagSSSbDLrwbXg98TNgnlwh6cz9uQ19A4RGCWVtEwd4fSPpwELEvNSbr9zfQpUVbO+Q6zVml4cfBj9PYxYuU4nzGb15Cbpl1ZsEIwq2y6WRlxYoVzJ07t9LHJycn884779RcQLfoj0uWNVr6+jfFvw6trlx0YgPxr7cm6+eXMBXnovJvgf+zfxL0+m4cWg8RSYpw2yRJwq5RF7we+IiwTy4S9PouXPo9gczOBUN2Ajl/vU/czOYkvNeLvO3fYCzOtXbIdZKnnSOrBk/E196ZC/kZTNz2A1qD3tphCUKl2WSykp6ezpQpU/jkk08IDQ2t1Dkmk4mXXnrphqOercFsNrP64nEAxjZub91gKkmfnUDyl2NJ+fwu9JmXkLv64fPYIkLePSZaUoQaI0kSdk164vPoNzT6Ihm/qStxaDMMZHK0MfvJ+OEpLj0bSNrix9FeOmztcOscf0dXlt/xOE5KNYfS43hm188YTSZrhyUIlWKTycqZM2dQKpWsXbv2iiI2N/LNN9+g1+uZPHlyDUdXNUczE4kvzMZeoWJIcAtrh3NDZoOOnPUfEfdqS4qP/gkyOW5Dnydszjlc+k5EqqdF7ATbI1PZ4dT1fgKeX0ejzxLweuATVEFtMOu1FOz5noR3uhH/dhfydy3BJLo0Kq25uy+LB05AJZOzIf40sw6tQ8yxEOoCm/z0GTBgAAMGDKj08SdPnmTJkiX89ttvpKenV+qcy6OVryU1NRU/v+opG776omWZ7WEhLbFX2m69kbLEk6QuegRd4kkA7Jr2xvvheaiDRPVLwboUrr64DX0O1yHPor10iPztCyg8+AtlcUdIX/IEmT+9hHOvR3AdMAWVryh+djM9/Rrzee/7eGrnKpac24e/gytTWvexdliCcEM22bJSFSUlJbz44ou8+OKLle4yqi06o4G1sZYPf1vtAjIbDeSs+4D4t7ugSzyJ3MkT3yeWEvjqDpGoCDZFkiTsGnfF94llNPo8Ac/7PkTpFYapJI+8zV8QN7M5yXNHURK1W7QW3MSoRm15o/NwAN6L3MAf5V3VgmCrbLJlpSree+89wsLCeOCBB6p03o3mf9+o1aUqdiZHk1tWgredEz39GlfLNauTLu0Cad8+ivaiZRVoh/Yj8Xn0GxQuPlaOTBBuTO7kifvwF3Eb+jwlpzeTt+1rik9uoPj4OoqPr0PTqAtuQ5/HseMY0X15HU+27E1qcT6Lz+7l+T2/4m3nSE//cGuHJQjXVOf/F//++++oVCrat7e0XBiNRgBGjBjBlClTmDJlitViW3PJst7CyLA2KGS2U7YYoGD/StKXTcFcVozMzhmvcXNx7jlBDJ4V6hRJZlnawaHNUHSpUeRumkvBnu/RXjpE6tcPoPQKw3Xws7j0eQyZuu6sA1MbJEnizS53klZSwLq4Uzyx40f+vHMaTVy9rR2aIFylzicrmzdvvuLnEydO8NJLL7Fo0aKrVpKsTVqDnq2J5wAY2ahyg4Rrg0mnJXPV8+TvWAiAXbN++D6xFKVHsJUjE4Tbo/KLwOfRBXiMnUXetq/J2/Y1+sxYMlfMIGfte7gNewHXAVORaa5ezK2hkkky5va+j/SSAg5nxPPIlmX8ddc0PMTvSLAxdW7MitFoJDMzE63WUkU1JCTkioePj6ULw9/f36orRu5OuUCxQYefvQvtPG1jnRxdxiUSZ/e2JCqShPvI/yPw5c0iURHqFYWzN55j3qbRp3F4T/gKpVcjjIWZZP0yk0svNiJn3QeYSgutHabN0CiULB74MCFO7iQU5TBp23LKjAZrhyUIV6hzyUpqaiq9evViw4YN1g7lhjbEnwYss4BkkvV/zSXndpAwqytl8UeROXoQ8Nw6PMfOQrKx7ilBqC4ytT2uA6YSOucsPpOWoPQJx1SUTdZvr3PpxUZkr52NsbTA2mHaBA+NI8sGPYqzSsPhjHhe2vu7GKQs2BSxkOE13O4iTHqTkXar3iNfV8qvw56ku2+j6gyvyvL+WUTG8qfBaEDTqAt+T/2C0iPIqjEJQm0zGw0UHvyJ7LXvo0+LAiwrhXvc9Rou/acgU2msHKH17U65wPjNSzGaTbzU/g5mtKueyQZCw1ITCxla/yt/PbQv9SL5ulI8NY508Q61Whxmk5GMFc+RsWwqGA04dXuAwJnbRaIiNEiSXIFzj/GEvn8K3ykrUPpGYCrKJnPVC8TNbEb+zu8wN/Duj97+TXiv20gAPj62hb/KSy8IgrWJZKUGbIizdAENCW5htRWWTTotqfPvI2/LlwB4jH0X38k/IlPZWSUeQbAVkkyOc7cHCJ19Ep/HFqFwD8SQk0j60ieJe70NhYcbdhfIw826MalFTwCe3f0LRzMTrByRIIhkpdqZzCY2J54FYHhoK6vEYCzJJ/nT4RQdWYOkUOE37Sc8Rr4mpiULwn9IcgUufScS+kEUXg98gszRA31aFKnz7yNpTn+0cUetHaLVvNH5TgYFNaPMaGDStuWkFudbOyShgRPJSjU7mZVMZmkRjkq1VcaqGPLSSJrTn9KoncjsnAl4YSNOXe6t9TgEoa6QqTS4DX2OsI9jcB/5f0gqO0qjd5Mwqwtp303EkJdq7RBrnVwm46u+DxLh6kNGaSFPbP9RrNIsWJVIVqrZ9iTLwL3e/uGoarlypiEvlaQPB1KWeAK5sw+BM3dg37xfrcYgCHWV3M4Zz7GzCJ1zDqfuD4HZTMHuZcTObGaZ7qzTWjvEWuWoVLNk0ARc1fYcz0rk1f1/NOjuMcG6RLJSzS4nKwMDm9XqfQ15qSR+MBBd6nkU7kEE/d9uNCHtajUGQagPlB5B+E1eTtD/7UXTqCtmbRFZv71O3KstGtx4lhAnDxb0exCZJPFrzFG+O7vX2iEJDZRIVqpRVmkRJ7KSAOgXGFFr972cqOjTolC4BxE4czsqb9tbi0gQ6hK78G4E/d8efJ/8AYVbAIbseFLn30fyZ3eiy7ho7fBqTW//JrzZ+U4A3j28gT0pMVaOSGiIRLJSjf5JjsKMmVbu/vjaO9fKPQ15af8mKh7B5YmKdeu6CEJ9IclkOPcYR+gH5yzjWRQqSk5tIv71NmT/+R4mfZm1Q6wVE1v05N7wDhjNJqb8s5KEwhxrhyQ0MCJZqUbbEsu7gIJqpwvo8qyfikTllW0iURGEGiBTO+A5dhYh753AvsVAzHot2X+8Rfwb7Sg5W32Fr2yVJEnM6T6Gtp6B5JWVMHHbDxQ3kERNsA0iWakmRpOJXSnRAAyohS4gk05Lypdj/x1M+8pWkagIQg1T+TYl4KVN+E75EbmLL/q0aJI+GkzqN+MxFGRaO7wapVEoWTzgYbztnDiXmyZK8gu1SiQr1eR0Tgr5Oi3OKg3tPGu2QqzZZCRt0cOUnv8HmcaJgBfWizEqglBLJEnCuduDhM45i+vAp0CSUXhgFfGvt6Lw4M/1+gPcz8GFRf3Ho5BkrI09ydJz+6wdktBAiGSlmlwedNbdt1GNVq01m81k/DiDosjVSAoV/jP+QBPSvsbuJwjCtcntXfB++EuC39yPKrA1xsIsUhc8RMq8u+t1bZZOPiG80cUy4PadQ+s5khFv5YiEhqB2C4HUY/tSLbMDevjVbAtH3tb55G9fAJKE7+Tl2DfvX6P3a6jMZjNGowmdzoheb0KvM6LX//vQ6YwY9Cb0eiPJyQU42CtxdbdDqZCjUMpQKuUolXIUCsufFUoZSoUMhVKOUilDLpeJisL1hCasEyFvHyJn3Qdk/zWb4qN/End+J14PfYZzzwn18u/58eY9iEyP56+4k0zesYK/Rz6Dp52jtcMS6jGRrFQDndHAwfQ4AHrWYLJSfHozmSufA8Dzvo9w6nxPjd2rLtOVGcgv0FKQX0ZBgZbCgjIKC7TodMby5OPaCYi+PDHR6Y0Y9EZqsjVfkrgykVHKUSj+TW6UyvLE5n+O0WgUODiocHBUXfWsUMhrLmDhhiSFCo/Rb+LYcTRp302iLO4I6Ysfp/DQL/g+vhiFq5+1Q6xWkiTxca+7OZebSkx+Jk/tXMXKwROtthaaUP+JZKUaHMtMRGvU46lxJMLVp0buoUuNInX+A2A24dzrEdyGPlcj96kLSkv1ZGUWk51VTHZWCdnZxeTmlFJYYElOtNrqXTlXkkCpkqMqby1RquT/aTmRyMvTotYosLdTWpIgvRGD4fKzJQEylCdIl5nNlB9rusGdq0atvpzIKHFwUOPkrMbFVYOLiwZnFw2urnY4u2iwt1fWy2/7tkAd1IbgN/aR+/dnZP/xNiUn/ybu/9ri8+g3OHUaa+3wqpWjUs2iAeMZ8dd89qZe5JNjW3il4xBrhyXUUyJZqQZ7Ui3jVXr6Na6RDwFjST7JX4zGVJqPJrwH3o8saBAfNkVFZaSlFlY80tMKycwsoqT45muUKFVyy4e0sxpnFw1OTmrUasW/iYbK0npxdQLybxfO5W1yuVQtv+/LXUv/TV70hn+7kwwGS2vP5URHbzBh0Fme9eWtPVqtgaIiHcXFOorLn0uKdZhMZsrKDJSVGci5SQkMhVKGi4sGNzc73D3scfdwwN398p/tcXBQNYh/XzVFkitwv/NlHNqNIG3RBMrij5H61b0U93oEr3FzkdvVTg2m2tDU1YePe97NUztXMe/kDjp4BXFHcAtrhyXUQyJZqQY1OV7FbDaTvmQS+rRoFO5B+D/9GzKlutrvY23FxTqSEvJISswnMTGPxIQ8CguuX8fByUmNh6cDnl72eHg44OZuaTVwLk9Q1GqFzX3gSpJU3tUjBztltV3XZDKj1erLExc9RUVlFBfpKCjQkp+nJT9fS0G+5c/FxToMepOlRSqrBC5kX3U9tVqBt48jPr6OeHs74u3rhI+PI27u9shktvU7tWXqgBYEv7GP7DWzyFn/IQV7vqc0ahe+T36PXZOe1g6v2oxq1JYjGfEsObePGbt/YePIpwlx8rB2WEI9I5KV21Rq0HE0MxGomfEqeVu/oihyNciV+E3/BYVLzXQz1baiojJiL+ZwMSabSxezSUstvOZx7h72+Po5WR6+Tnj7OOHhaY9aLf7pXiaTSdjbq7C3V4HXjY/V642WxCVfS25OKTnZJZZHjuW5oEBLWZmBxARLwvhfCqXMkrz4OOLj44S3jyO+/k54eDiIJOY6JIUKz3tmY996KGmLHkGfGUvi+/1wHzETj1FvIimqL2m1pv/rPJwTWUkcyUxg8vYV/DliGupaXshVqN/Ev6bbdDwrCb3JiK+9MyFO7tV67dKLB8n86SUAvB74BLtGXar1+rWprMzAhahMYi5kcelizjWTE08vBwKDXAgMciUo2BX/AGeRlFQzpVKOh6cDHp4OcI3cWq83kpNdQkZ6EenphZbntCIyM4ow6E2kJBeQklxwxTkajYKAQJeKv7vAIBfcPextrmXLmuwjehPy7jEyV8ygYO9ycv56n+LTm/GbuqpeFHNUyRUs6D+OoX9+yemcFN47vIF3u420dlhCPSI+CW5TZLqlxkBn79BqfXM2FueR+vUDYNTj2OluXAc9VW3Xri15eaWcO5PB2TNpxERnYzReOZjU18+JRo09aBzuQVhjdxwd61/3Vl2jVMrx8XXCx9eJ1vw7g8VkMpObU0J6WnkSU/6cllqIVmvgYkw2F2P+7VKys1cSWJ7AhIS5ExrmZmn5acDk9i74PrEMh7Z3kv79VMpiI0l4qyM+jy/GqfPd1g7vtvk7uPB573t5ZOsylp7bR0+/xgwNaWntsIR6otLJyoEDB+jWrdtVf27oIssLInX0Dq7W62Ysn44hOwGld2N8Hv+2znxLzc0p4djRFE6dSCU5Kf+KfR6e9kQ086JxuKdITuoYmUyqaJFp0erfrkij0UR6WhFJiZbxRslJeaQkF1JaoudCdBYXorOAi0gS+Pg6EdbIveLh4mpnvRdkRU5d7kXTuBupCx5CG7OP1Pn3UTrwKTwf+LjOj0cbGNSMyS17s/DMbl7Y8yutPPwJdHSzdlhCPVDpZCUmJoaMjAzkcjm5ubkiWQFMZhNHMhMA6OQdUm3XLTjwE4UHVoFMju/k5cjtXart2jWhpFjHyROpHDuSTOylf6eiSBIEh7jRoqUPLVr54O3jWGeSLqFy5HIZ/gHO+Ac406X8LcFgMJGWWkhyUh4J8XnEXsohK7O4YlbX/r2WBN/d3Z7GTTxoGuFFeFNPHBwaTsuL0iOIoJnbyVr9BrkbPiZv23xKLx7Ab9qqOr90xisdh3AwPY7jWYk89c8qfhs+GaVM1AASbo9krsRCFocPH8ZkMvH5558jSRLPPfcckiTRuXPn2oix1g0cOBCAbdtuvJpqTF4G/f74DI1cybnxb1fLf0h9ThLx/9cWU0ke7qPexHPMW7d9zZpgNpu5dDGb/XvjOXMqDaPR8s9IkqBRYw/adfCnRStfnJzq9jdFoXoUFpYRdymH2PJHSnL+FUX3JAkCAl1oEuFF0whPQkLdUSgaRoGxohMbSPv2UUxF2cjsnPF5bBFOXe61dli3JaEwh6Frv6RAp+Wp1v14tdNQa4ck1KLKfoZWRaVaVpKSkgDQarVIkkRKSgpms7neJiuVdbkLqK1nYLUkKpenKZtK8lCHdcbjrtdu+5rVraREx5HDSRzYF09mRnHFdj9/Z9p3DKBdB39cG2jzvnB9Tk5qWrf1o3VbyzgYrVZPXGyupasoKpO01EKSEvNJSsxnx9YYVGo5Ec28adHSh2bNvXFwrL+tLo5thxPyzlFLt9CFvaR+/QClF/bidf/HdXa2ULCTOx/1vJspO1Yw/9Q/9PBrRN+AptYOS6jDKpWsjBkzhg0bNjB27FgkSUKlUjF8+PCajs3mHS5PVqqrC6hw33JKTm9BUmrwm/yDTb1R5eSUsGdnLIcOJKDTGQFQqeV06BhItx7B+AfYdleVYFs0GiXNmnvTrLk3APn5WmKis4iOyuRCVCZFRTpOnUjl1IlUJAlCQt1p0dKbVm388PRysHL01U/pHljeLfQmues/JG/LPMoSTuA37ac6W65gRGhrHo7oyvKog8zY9QubR83A297J2mEJdVSlx6yYTCYefvhhzGYzGzZsqMmY6ozLq4129rn9ZMVQkEHGyhcA8Bj9Fipf2/gWkppSwPatMZw6kYrJZGm39/VzonvPUNp3DECjERPKhNvn4qKhY+dAOnYOxGQyk5yUz9nT6Zw9k05qSgFxsTnExeawYd15AgJdaNvOjzbt/XF3t7d26NVGkivwuvd97Bp1Ie3bRymN2kXC253xe/q3Olu24M0uI4jMiOdcbhrP7PqZlUMeRyY1jO49oXpVasxKQ1OZ/rYCnZYWK94G4MSD/4eH5vZWHE39ZhyFB35CHdSW4LcOWr1VJTWlgK2bojl1Mq1iW5OmnvTt35gmEZ5ioKxQa3JzSjh3NoMzp9K4GJNdkTQDBIe40qadP23a+dWr7kddynmSvxyLPi0KSaHC++GvcOk70dph3ZKYvAyG/TWPUoOeNzoPZ3KrPtYOSahhVhuz8l9JSUkEBgZWWwB11ensZAACHFxvO1EpOrGBwgM/gSTD5/FFVk1UsrOK2bj+PCePpwKWgY9t2vnTf2Bj0dUjWIWbuz09eoXSo1coRUVlnD6ZxoljKVy6mE1CvGXG0bo/zxIa5k7HLoG0beeHRmM7Xai3QuXfjOC3DpD27aMUH/2T9KVPoo2NxGvc3Do3vTnc1Zu3Oo9g5v4/+PDIJnr7h9PC3d/aYQl1TJWTlTvuuIOPP/6YESNG1EQ8dcap8mSltUfAbV3HpCsl44fpALgNnoEmrNNtx3YrSkv1bNt8gb274yqKt7Vp58egwU3x9RP9zIJtcHRU061HCN16hFBYoOXkiVROHk+t6CaKi81h7erTtG7rR6cuQTRq7FFnlwKQ2znjP/03ctZ9QPYfb5L/zyLKks/g//TvKJxvsq6CjRkX0YXtSefZnHiOp3f+zLq7pmNnQ2PyBNtX5WTFbDYjeo7gZHmy0sbz9pKV3I2fYsiOR+EeiMfYWdURWpUYjSYO7I1ny+boitWMm0Z4cefI5vj515/VYYX6x8lZQ8/eYfTsHUZeXinHjyQTeSiJjIwijkYmczQyGXd3ezp2DqRTl0Dc6uD4Fkkmw2Pka2hC25O6YBzaC3tJeKcbAc/+iTqwlbXDqzRJkvi4190cWzOXqLx05kRu5B1Rjl+oAjE68hadyrr9lhV9diI56z8AwPO+D5Gpa3eWQ3xcLr//crJinR4fXydGjGxORPkMDUGoK1xd7eg3MJy+AxqTEJ9H5KFEjh9NISenhC2botm6OZpmLXzo0SuEJk296lxri0ObYQS9sZeUuaPQZ1wk8b1e+E5diWPbujMr00PjyKe97mXClqUsObePAUHN6CemMwuVJJKVW1Co03KpIAu4vZaVrF9fxawrxa5pL5y63l9d4d1Uaamev9ef58C+eMxmcHBQMWR4BJ27BiGXi5H6Qt0lSRIhoW6EhLpx1+iWnD6ZyuGDiVyMyebcmXTOnUnHw9Oe7j1D6dQlsE6tV6T2b07wm/tJmXcvpVE7SZk7Cq8HPsZ18Iw6M+B9QGAEjzbvzrJz+3l+969sGT3jtsf8CQ3DLSUrv//+O9nZ2TRt2pSIiAg8PDyqOy6bdjonBbAs3HWr/9FKL+y1lNSXJLwe+rzW3mzOnEpj9W+nKCwoA6BTl0DuHNmiQZU6FxoGlUpOh06BdOgUSEZ6Efv3xnHkcBLZWSWs+/Msmzacp33HAHr3bYSPb90YlyV39CDwpb9J/2E6Bbu+I3PVC+hSzuH98FdWn0FYWa93Gs7elItcyM/g5b2rWTzg4TqTbAnWc0vJyoEDBzhw4EDFPzB3d3ciIiIqkpeIiAjCw8NRqernB+DtdgGZzWYyV70EgHPvx9GEdqi22K5HqzWw9o8zRB5KBMDTy4Gx97YmvIlnjd9bEKzN28eRUWNbMfTOZhw7ksy+PXGkpRZy6EAihw4k0qy5N336N6JxuIfNf3BKChU+jy1EHdCCzJ9eIn/nYvRZcfhN/xW5ne2PM7NTKPmq7wOMWDefTQlnWRl9mHERdbOOjFB7bilZeffdd2nevDlRUVEVj3PnzrFv3z7A0hQrl8sJDg6mWbNmfPbZZ9UatLWdzbFM673VZKX46J9oLx1EUtnjOfad6gztmuIu5fDTiuPk5JQgSdCnXyMGD4tAqRSLiwkNi1qtoFuPELp2DybuUg67d8Vy5lQa589lcP5cBgGBLvTp34g2bf1suktUkiTchjyL0qcJqQsepOTMVpLm9Cfgub9QuNn+tOCWHv683GEwsyM3MuvQOnr7hxPs5G7tsAQbdkvJikajoVWrVrRqdeVo9MzMTKKiooiOjiYqKorz58+zdevW2w5y4cKF7Nmzh+XLl1/3mAsXLvDxxx9z4sQJZDIZnTt3ZubMmfj7V/9/3Ki8dACau/lW+VyzyUjW728AlqnKCteqX6OyTCYz27deYMvf0ZjN4OZmx/3j2tGoccPqthOE/yVJEmGNPQhr7EFWZjG7d14i8lAiyUn5rFp+jL/Xnaf/oHA6dQlEobDdpN6x3Z0EvbqD5M/uoizhOAnv9STg+fWoA1pYO7SberJlb7YknuNQehzP7/mVX4Y+IarbCtdVrf8yvLy86NWrF48//jgffvghf/75J8eOHbuta65YsYK5c+fe8Jjc3Fwee+wxNBoNy5cv59tvvyUnJ4dJkyZRVlZ2W/f/X0aTiejyZCXiFpKVwv0r0KWcRebghtuwF6s1tv8qLtKx5NtDbN5oSVQ6dgrk2Zf6iERFEP6Hp5cDY+5pzWtvDmLIsAgcHVXk5pay+tdTfDh7B/v2xKHXG60d5nVpQjsS/MZelL4RGLITSJzdm5KoXdYO66bkMhmf9boXO4WSA2mxLD2339ohCTasxtNYufzWvpWkp6czZcoUPvnkE0JDQ2947NatWykpKeGjjz6iadOmtGrVio8//piLFy9y9OjRW7r/9cQXZlNmNKCRKwl2cqvSuWaDjqw/LLVU3O98BbmDa7XGdllCfC5ffLqL6POZKJUy7nuwLfePa4edXd0YgCcI1uDgqGLg4Ca8+sZARo5pibOLmvw8LWt+P80H721n985LFYt42hqlVxjB/7cbTXgPTCV5JH88hMJDv1g7rJsKdfbg9U6W6ddzIv/mUn6mlSMSbFWVk5V//vmHnj171kQsVzhz5gxKpZK1a9fStm3bGx7bvXt3vv76azQaTcU2mczy0goKCqo1rvO5l1tVfKrcZJm/eymGrDjkrn64DnyqWuO67GhkEgvm7ScvT4unlwPTn+1Fpy5BNXIvQaiPlCo5vfqE8crrAxhzTytcXTUUFpTx15qzfPDuNnbuuGiTLS1yRw8CX96MY8cxmA06Ur9+kNy/P7d2WDc1oVlXevo1RmvU89zuXzGaTNYOSbBBVR6z4utbc2Ms/mvAgAEMGDCgUscGBgZetV7RokWL0Gg0dO7c+ZrnXF5o6VpSU1Px8/O75r6oPMvCfhGuVVu23Ww0kLvhY8DSqiJTV281TZPJzOaNUWzfGgNAy1Y+3D+uXZ1fI0UQrEWplNO9ZyiduwZz5HAi27fGkJtTyvq159izK5bBQ5vSoVOgTQ3Elans8HvqZzJXvUDelnlk/vQihsJMPO+ZbbOznGSSjE973cOgNXM5kpnAt2f2MKW1WOxQuJLt/C+rRsuXL+fHH3/kxRdfxN29ekeYR/2nZaUqCg+sQp8Zi9zJC5c+1bt6ql5vZMX3RyoSlf6Dwnn4sU4iURGEaqBQyOjaPYSXX+vPPfe3wdVVQ36ell9/OsnnH+/i9MlUm1qCRJLJ8Xroczzvs1THzl3/IRnfT8Nssr3WoMsCHd14q4tlvbmPj22uGBcoCJfVqwq2ZrOZL774ggULFjB16lQefvjh6x57o6Wrb9Tq8m+yUvkWJrPJRM76DwFwG/JctbaqlJbq+f67w1y6mINcLuOe+9vQsbNYFVsQqptcLqNLt2Dadwxg/954tm+5QEZ6ET8sPUJwiCvDRjSjcbht1C2SJAn34S8hs3cl4/up5P+zCFNJHr5Pfo+ksM36Vw806cTG+NNsT4riud2/8uedU1HIbHcmllC76k3Lil6v56WXXuKbb77h1Vdf5dlnn632e5QZDRVl9qvSDVR05A90KeeQ2bviMnBqtcVTWFjGwvn7uXQxB7VawaQpXUSiIgg1TKmU06dfI175vwEMvKMJSpWchPg8Fs4/wNLFh8nMKLJ2iBVc+z2B39SVIFdSeOgXkr8cg6msxNphXZMkSXzU825cVBpOZCXx9amd1g5JsCH1Jll5+eWX+fvvv/n000959NFHa+Qel/KzMJpNuKg0+NpXvlJk7t+Woniug6ZXW4XJnOwSvv5yLynJBTg6qpgyvbvNfKsThIbAzk7JkOERzHy9P917hiCTSZw7k85nH+3krz/PUlqqt3aIADh1uY+AGWuQVHaUnPybpE+GYizOs3ZY1+Rr78w73UYB8PnxbZzPTbNyRIKtqJPJitFoJDMzE61WC8Dq1avZsGEDzz33HF26dCEzM7PicfmY6nCxwDKtrrGLd6UHq5VePIj24gEkhQrXgdOqJY7srGIWfLWP7KwS3N3tmfZMTwICXarl2oIgVI2Ts4Yx97Tm+Zf70qy5N0ajmd3/XOKj2TvYvzceo9H6s1sc2gwl8KVNyOxc0F7YS9IHAzAUZFg7rGsa26gdg4OaozcZeWnv72J2kADU0WQlNTWVXr16sWHDBgDWrVsHwEcffUSvXr2ueFw+pjrElXcBhTlXvrBa3pYvAXDq+gAKl6oNyr2WnOwSFs7fT36eFm9vR6Y90wNPL4fbvq4gCLfH28eRx5/swsQnu+Dt40hxsY4/fjvFF5/u5mJMtrXDw65JT4Je3YHc2YeyxBMkfTAQQ57ttVxIksTs7qNxUqo5lpnI0nP7rB2SYAMksy0NY7cRlwfY/u8g3Bf2/MrPF47wYvs7eLbd9QfhXqbPTSb2xUZgNBA8KxJNSPvbiisnp4SFX+0nN7cUb29HJj/VDSdnzc1PFAShVhmNJg7si2fL39GUlFi6gzp2CuTOkc1xdFJbNTZdWjRJHw7CkJuM0rcpga9sRel2a+uc1aQfow4yc98f2CmUbBv9nFg7qA653mfo7ahXs4Fq2qV8S8tKI+fKjQ3J37YAjAbsmva+7UQlP1/LovkHyM0txdPLgSeniUTlVpnNZtAbMeuMmMsMoDNiLjNi1l3+s8GyT2eAy38uM4LeYDmufBs6w5XX0BkxFWgxxGQhD3RF7mEPKjmSSoGkkoNSjqSUl2+zPK61/9/tln0Vf758rvI/5ynqZONovSeXy+jZO4z2HQL4e0MUB/fHcyQyibNn0hk2ohldugUjk1mn7onKtymBr+4g6cNB6NOiSZrT35KweARbJZ7reahpZ9ZcOs6BtFhe2bealYMn2mytGKHmiWSlCmILLE25YZVIVky6UvL+WQSA6x1P39Z9S0v1LFl0kJycEjw87Zk8rRvOLiJRucxUosOUVogpu8TyyC3BmF2CObcEU04pxpwSzDkllucSPZQZaj6m1EJqZXilTAKVHJm9CslFg8xZjczFDum/z652yJzVSC6WZ5mbPTJPByRHlXjzr2H2DirG3tuaTl0CWf3rKVKSC1j96ykOH0xk7L2trTbWTOXdmKCZO0j6aBD6jIskzulP0CvbUHqFWiWea5FJMj7qcTd3/DmX3Skx/BpzhPuadLJ2WIKViGSlkgp0WrK0limJYS43T1aKIldjKspG4R6EY4dRt3xfvd7Isu8Ok5pSiJOTmiemdMPF1e6Wr1cXmcsMGBLyMMbnYEzIw5haiDG1oPxRiDmv9PZuoJQjqf/TiqEub+kof5bKt13RCqJWWM5RWp4vH4tChjExH7m/M0jSv60vemNF64tZZwC9CXP5vopWnv+01lB+zrX289+OW5MZtAZMWgPklFClsl9qBXJPB2SeluRF5uVo+dnLAbmfM3I/Z2S+TsgcbLMuR10SHOLG08/1Yv/eeDZtiCIxIY8vP9tNj16hDBneDI2m9t+KlV6hBF5OWNJjSPzA0sKi8m5c67FcTyMXT15ofwfvR25k1qF19AuIwNveydphCVYgkpVKii0fXOtt54Sj8uZ9zvm7lwLg0udxJPmt/ZpNJjM//XiM2Is5aDQKJk7uirtH9ZbptyWmYh2GmCwMF7IwRGdiiM3BGJeLMSX/yg/oa5AcVMi8HJC521sebnbIPBzKn+0trQnudsgc1f8mIWqFJVGxUnP8rTCbzWAw/ZvEXE5kinWY87WY8ksx5Zdhzi/FVFCGKb8Uc/mzqaB8e04p5mIdlBkwJudjTM6/4T0lZw1yPyfk/s7IA11RhLohD3FDEeKGzM+5Tv3+rEkul9GrTxit2/qx7s+znDiWwt7dcZw5nc7d97Umopl3rcek9AgiaOYOEj8chD4tytIlNHM7Kp/wWo/lep5s2Yu/Yk9yKjuZNw6uZWH/cdYOSbACkaxUUmwVZgLp0mMoPbcDJAnn3o/e8j3/Xn+eUyfTkMtlTHi8E/4B1VOjxRaYdQb05zLQn0y1PE6lYkzMu25SIjmqUIS5Iw92s3zr93dCVv7tX+7njMzKgxZriyRJ/459uQ3mUj3G7GJMmcWYsiwPY/mzKb0IY1p5q1VhGeYCLYYCLYaoa6yIq5KjCHJFHmpJXuSh7uXPbpauJtHNdBUXFw3jJnSgc9cgVv9yipycEr5beIhOXYIYMao59va125KlcPMnaOZ2kj66A13KWZI+HETQq//YTJeQQibnk553M/yvr1gfd4qN8acZFtLK2mEJtUwkK5V0OVkJrcR4lYLyVhX7lnfc8qC1I4eT+Gf7RQDue7At4U3qdsE3Y0YRuoMJ6E+koD+Vhv58Blxj5VqZpwOKpp4omnihCPe0fIsPdUPmbi8++KqRZKdEEegKga43PM5UVIYxtRBTagHGlAIMiXkY43IxxOdakkudEcPFbAwXsyn7n3Nl7vYoIrxQNPVC2cwLRYQ3ikYelu4ygaYRXjz/ch/+3hDF3t2xRB5KJOp8BmPvbU3LVrWzYOxlCldfAl/ZStIHA9Clnifxw4GWhMXDNlZsb+nhz7TWfZl3cgev7/+THr6NcVE3rO7whk4kK5WUUJgDQKjTjVtWzEYD+Xu+B8Cl760tWBgfl8tvP58EYMAd4bTvaHvTCm/GVFiG7lACuv3xlB1IwHjp6joTkpsdqjZ+KC8/mvsgc6+/3Vx1kcxRjayJGq6RLJuNJsu4ofhcDHG5Vzwbk/Mx5ZSg2x+Pbn/8vycpZCgauaOI8EbZyrf8793bMl6oAVKpFYwc05I2bf345acTZGUW8/13kbTr4M+oMa1wcKy9VhaFiw+BL28h8YP+6NNjSPpwIIGv7rCZac0z2g5gfdwpLhVk8dHRTczuPtraIQm1qGG+Q9yCxKJcwLI66I0Un/obY14qcidPHNuPrPJ9Cgu0/LAkEqPRRMvWPgweGnFL8VqD4VI22m0xlO2IQX8y1TL48zIJFC18UHUIrEhO5IEuorWkDpPkMhSBrigCXVH3DLtin7lUjyEmC310JobzmeijMjBEZ2IuKMMQnYUhOgvtX2ctByvlKJt5/5u0tvFDHuzaoP5thDZy57kX+7BlUzQ7d1zk+NEUYqKzuOf+trRodfvFJCtL4eZP4MtbSfqgP/qMiyR9eAdBM7ejcK3dlp5r0SiUzOkxhvv//pYfzh/knvCOtPeyjZYfoeaJZKWSkovyAAi6SbJSuG8FAE7dx1V5dVOTyczK5ccoLCzD18+JB8a1t1othsowm83oT6ZStu0C2m0xGGNzrtgvD3VD1S0EdfcQVJ2DkDWwWUwNmWSnRNnaD2Vrv4ptZrPZMqU7KgPDuQz0p1LRnUzFnFuK/pRl3BKW/z7IPB1QdQpE1TkIZadAFI096/1AXqVKzvC7mtO6rR+/rDpBelohy747TJduwdw1ugVqde28XSs9ggh8eSuJc/pZBt1+PJjAV7ahcPaqlfvfSE+/xtzduD2/XzzGzH2rWX/XdLEycwMhkpVKMJiMpBZbZkwEOLpe9ziTtoii438B4NztwSrfZ8umaC7GZKNSyRn/aMdae3OqKkNsDqXrzqJdd84ybuEyhQxVt2A0A5qg7tPIMn1XEMpJkmSZUeTvDP0ts03MZjPGpPx/B1qfTEF/NgNTVjHav6PQ/h1lOdfVzpK8dA1G3SsMRciNvzTUZUHBrjzzfC82bYhi985LHDqQwMWYLB4Y156Q0Np53ZZpzdtIfL8fuuQzJH08mKBXtiJ3rPxSIzXljc53sjXxPGdyUll2bj+TWvaydkhCLbDNT0Mbk15SiMFsQimT43ODOf5Fx9Zi1pWi9G6MOqxqxYuiz2eyfcsFAO6+rw3e3o63FXN1MxWVoV13jpLVpzCc/nc9EclOibpfY9SDmqDuHWaZGiwIlSRJEoogVxRBrtjd2Ryw1NXRn0pFdzjR8jiegjmvlLKtFyjbeoFCQB7kirpXKKpeYai6BNe7WjBKpZwRo1rQrIU3v6w8TnaWZZX1AYOaMGhIE+Tymq9crPJuTNArW0mc0x9d4kmSPhlG4Ctbq23l+FvlaefIa52G8cq+1Xx8dDPDQ1vj7yAWcq3vRLJSCUnl41X8HVyRSdd/kyg8sAoAp24PVqm/vSBfy6oVxzCboWv3YJsaUKs/lUrJLyfQbjiP+fKS93IJdc8wNCOaox4QjqyWp1oK9ZukVqDqFISqUxBMBbPOiP5MGrpDiej2x6E7mowxMY+SVccpWXXc0qLXMRBVr1DUvRuhaOJZb8a7hDfx5LmX+7Lm99McO5LMti0XiDqfwUMPd6iVBUxVfhHls4T6UxZ3hJQvxhDw/HpkKutW0H6waSd+uRDJkcwE3jq4lm8HPGzVeISaJ5KVSvh3cK3rdY8xFmVTfHozAE7dHqj0tc1mM7/9cpLiIh1+/s6MHN3ytmKtDmajibIdMRQvi0R/NLliu7yRB/b3tcFuRAsxa0eoNZJKjqp9AKr2ATC5G6ZiHbqDCZTtiUW3JxZjUj66gwnoDiZQ9OkuS6vLoCZoBjVB2da/zo91sbNT8uD49jRv6cMfv50iKTGfLz7dzdj7WtO+Q81/sVEHtCDghQ0kfTCQ0vP/kLrgAfyn/3bLxS6rg0ySMafHGIatncfG+DNsTTzHoKDmVotHqHkiWamE5EokK4WRq8FoQB3UFrV/5f/THD6YyPmzGcjlMh4c3x6lFWtQmEv1lK45TfH3kRgT8iwbFTI0w5phf19blB0C6s03VqHukjmo0AwIRzMg3DLmJT6Psr2WxKXsQIKl1WXpYUqWHkbm6YB6QDiaQU1QdQmu0zVe2rX3JzTMjVXLjxF7KYdVy49x8UIWI8e0QlXDr0sT2hH/GWtI/nQ4xcf+In3JE/hM/A5JZr2FNFu4+/FEy158c3oX/3fAUnvFXilaeesrkaxUQlJxHnDjactFR9cA4Njl3kpfNyenhLVrzgAwZHgEvn7WWfPCVKKjZOUxipccrlhnR3LWYP9AO+zHtUfuZVvjZwThMkmSUIS6oQh1w2FcB0ury55YtFsvULbzIqasYkp/OUHpLyeQnNRo7miKZkRzVJ2DkGph3Ed1c3W148lp3di6+QLbt1zg0IFE4uPyGDehQ42/f9g374ffUz+RMu8eCvb+gMzBDa8HP7XqF5jn2w3ir9iTJBXl8fnxbbzeeZjVYhFqlkhWKiGlfNpygIPrNfcbSwsoPbsdAMeOoyt1TZPJzK+rTqArMxIa5kaffo2qIdKqMWv1lPx8guLFBzFllwAgD3LBfkIn7Ma0EmNRhDpH5qBCMyQCzZAIzDojukMJlsRl2wVM2SWUrj5F6epTyLwc0Axvht2dLVC09KlTLYZyuYwhwyJo1NiDn348RnpaIfM+383ou1vRqUtQjb4Wx/Yj8Z24mLRvHyNv8xfIHT3wGPl6jd3vZuyVKt7rNpLHtv3At2d2c3+TjoS71v4aS0LNq3tfLawgraQAAF/7a484Lzn1N2aDDqVvU1R+zSp1zcMHE7gYk41SJee+B9vVaj0Vs9FEya8nyBy6mMIPd2DKLkEe5ILLnGF4rp+Ew7gOIlER6jxJJUfdKwyXtwfjtXMa7t8/gN29bZCcNZgyiyn5/gjZ9y0na/h3FC3YhzG1wNohV0mTpp48+1IfmkZ4odeb+PWnk6z68RhlZYYava9zzwl4PfQ5ANmr3yRv24Iavd/N3BHcgjuCmmMwm3jj4FrLYp9CvSNaViohvbQQAB/7a0/ZKzq6FrB866jMt5qiwjI2rDsPwJBhEbUyqv+yskMJFM7ZXrEonczPGcep3bEb1fK2F8cTBFslySRUnYNQdQ7C+fVBlO2NRbvuHNodMRjjcymat5ei+ftQ9QzF/p42qPs2rhPjW5yc1Dz+ZBd2br/Ipo1RHD+aQmpKIRMe64hXDZY/cBv8DMbiHHL+fJeMH59G7uSJUxW6wKvbW11GsCvlArtTYtgYf4bhoWKhw/pGJCs3oTXoySuzdJFcq8aK2aCj+MQGABw7jKrUNdevPUdpiR7/AGd69g6ttlhvxJCUR+FH/1C21VLLRXJW4zitB/YPtGuw67IIDZOkkqPpH46mfzimYh1lW6MpWX0a/eFEdLtj0e2OReZuj2ZUS+zvbo2ikfULod2ITCbRf1A4YY3cWf79EdLTCvnysz3cP64drVrXXJl8j9FvYSzMIn/7AtIWTUDu4oN9RJ8au9+NhDp7MKVVH744sZ1Zh9bRP7ApdlWsIC7YNtENdBMZ5a0qarkCF9XV5eJLo3djKs1H7uyDpnHXm14v5kIWRyKTkCQYe2/rGi/uZDaYKF5yiKyRSy2JikzC/sF2eG2chMOETiJRERo0mYMKu1Gt8Pj+ATw3TMJhUldkng6YckooWXqYrBFLyB63gtK1ZzDrarZ75XaFNnLn2Rd6E9bInbIyAz8siWTj+vOYTDXTLSJJEt7jv8Cx42jMBh0pX4yhLPlMjdyrMqa36UeAgyvJxXnMP7XTanEINUMkKzeRUVLeBWTnfM0unuKTmwBwaDMU6SZrVBiNJtb8fhqAbj1CCK7hkuH6M2lk37+cwk92gtaAqksQHn88gvMbdyBzE3VSBOG/FKFuOD3fB69tk3H9agzq/o1BLqE/lkL+zA1kDlxI4bw9GDOKrB3qdTk5a3hyWjd697UsLLljawzfLTxIcZGuRu4nyeT4Tv4RTXgPTCV5JH86HH1u8s1PrAF2ChVvdrkTgAWndhJfePVK70LdJZKVm0grtQy6u16Z/cuF4Oxb3XHTax3cn0BGehEODiqG3lm5gbi3wqw3UjhvD9n3/4jhXAaSswbn94bitvR+lE2svxiZINgySSlHMyAct/lj8do2BcdneiHzdsSUXULxgv1kDlpI3kvr0B1PtsnBnHK5jLtGt+Shhy11my5EZ/HFZ7tJvFw7qZrJVHYEPLsGpW8Ehpwkkj+9E2NJfo3c62aGh7Sil184ZUYDsw6us0oMQs0QycpNpJdcTlauHlxryEtFl3QKJAmHljdOVkpL9Wz5OxqAO4Y2xc5OWf3BAoa4XHLGr6J4wX4wmdEMa4bnusexH9u6Tk3PFARbIPd2xHFKd7y2PInLp3eh7BAABhPa9efIeWgl2ff/SOlfZzHrjdYO9SrtOgTw9LM98fRyIC+3lAVf7ePY0Zpp9ZA7ehD4wgbkLr7okk6RMu9uTPqyGrnXjUiSxDvd7kIhydiceI7tSVG1HoNQM0SychOXu4G87a5uWbncqqIO6YDcyfOG19m+5QLFxTq8fRzp2j242uM0m82U/HqC7Lu/R38qFclZjcund+H66V3IPWtvtpEg1EeSUo7dsGZ4/PgQHr9NwG5MK1DJMZxOI/+V9WQOW0zx8iOYSmqmu+VW+fo58/RzvWjWwhuD3sSq5cf4u4bGsSi9Qgl4fh2SxpHScztI/+5xzCZTtd/nZpq6+jCxRU8A3jr4F2VG2x5rJFSOSFZu4kYtKyWntwDg0GrwDa+Rk1PCnl1xANx5V/NqH1RrKtaR99xaCt7ajLlUj6prMJ5rHsNuWM11NQlCQ6Vs4YPL7GF4by/vIvKwx5RSQOGc7RXjWky5JdYOs4KdnZJHJ3am34DGAGzfGsPypZE1Uo9FE9Ie/+m/glxB4YGfyP7j7Wq/R2U8224g3nZOxBZk8e2ZPVaJQaheIlm5ifTSaycrZpOJkjOWZOVm41W2bb6A0WgivIkHzVpUb3VFw6Vssu//kbLN0aCQ4fRiX9y+uw+5r3VK9wtCQyFzt6/oInJ+6w7kQa6Y87UUL9hPxsCFFLy31WYKzclkEsPvas79D7VDLpdx5nQ6X3+5l5yc6k+qHFoNxufRhQDk/DWbgr0/VPs9bsZJpeG1TpbS+1+c2EZqsXXG0AjVRyQrN5FVahn572V3ZYElXdIpjIVZSGoH7MK7X//8zGKOHE4CYMjwZtU6bkS7NZrs+3/EeCkbmbcj7j88gMPjXer8KrOCUJdIGiX297fDc8NEXD8fiaKVL2gNlKw8RuaQb8l/Z4vNJC0dOwcyZXp3HJ3UpKYUMu+zPcRerP5ZMy69H8XtzlcASFvyJCVRu6v9Hjdzd+P2dPIOodSg58Mjm2r9/kL1EsnKTeRoiwHw0Fw57uPyfz67Jj2RblB8aNvmC5hMZiKaexESWj1Tlc1mM0Vf7yPvmT8xF+tQdgrE47cJqNrV/HLxgiBcmySXoRkSgcfP43Fbch+qrsFgMFH603GbSlpCQt145rle+Ac4U1ysY9GCAxw9klTt9/G8+z0cO40Fo56UeXejS4+p9nvciCRJvN1lBAC/XTzKiazqf41C7RHJyg2YzWZyyqvXuquvTFZKo3YBYNe093XPz8woqngTGDw0onpi0hkpeP1vir7aC4D9hI64f3efGEQrCDZCkiTU3UJwX3o/7t8/YJNJi6ubHdOe6UnrNr4YjWZ++vE42zZfqNap2JJMhu8T36MO64ypKJvkz+/CWJxbbdevjHZeQYxt3B6AWYfW2eRUc6FyRLJyA0X6MvQmy5REN82/RdTMZjOl0ZZBW3YR109Wtm6+gNkMzVv6EBTsetvxmArLyJ3yG6VrToNcwvntwTjPHCDW9BEEG6XqHHTdpKXg3S0YM61XYE6lkjPukY707W9Z8X3Txih++/kkRmP1zeCRqe0JmPEHCvcg9GnRpHx1H2aDvtquXxkzOw5FI1dyKD2O9XGnavXeQvURycoN5JRZuoDsFMor1pnQp1/AWJCOpFCjCet87XOzSzheXtPgjiFNbzsWY2YROQ+vRHcgAclOidv8sdjf1/a2rysIQs27nLS4LbsfVZcgMJgoWXWcrKGLLbOHimq/JglYBt7eObIFo+9uhSTB4YOJLFl0CK22+hIKhasfAc/+WT6leTvpP0yr1RYOfwcXprS2rFk0O3Ij2lpOloTqIZKVG8i+zniV0vLxKppGXZCpNNc8d8+uWMxmaBrhRWCQy23FYUwtIGfCTxiis5B5OeC+/EHUfRrd1jUFQah96i7BuC97wFJNurUf5lI9xQv2kzV0McU/HsWss05xuR69QnlkYueKirdff7mPvLzSaru+OrgtflNWgiSjYNcScjd+Wm3XroxprfriY+9MYlEu353dW6v3FqqHWMXuBnK11xmvEl0+uPY6XUAlJToOHUgAoE//20sqDAm55Dz+C6aUAmT+zrgvuQ9FcM2uKVSfGU0GSnT5lOjy0RvLMJh0lodRh8Gkx2DSYTTp0RvLMJb/bDDpy/frrvrZaNKhN+r+c+yV18opTsFo1uPpEIxCrkQhUyGXWZ4Vsv/8LFdWbJfLlCj/c9zl/QqZEnn5ef8eo7riXIVMiUKuxk7phL3SGYVcrDxri9Rdg1H9NI6yLdEUzt2NMS6Xwve3UfJDJI4zeqMZ1qzWZ/W1aOnD1OndWfrtYdJSC/lq7h4ef6IL/gG392XrMsd2d+L14KdkrnyOrF9nog5siUObYdVy7ZuxV6p4teMQnt39K/NO7uC+Jh3xukahT8F2iWTlBi7PBHL735aVmAOAZSbQtRzcl4BOZ8TP34kmTW9c2fZGDHG55Dz6E6aMIuQhbrgvuQ+539XF6RoynaGU/NIM8rUZ5JWmk1+aQWFZNsVleRTr8igpf7Y88tHqC60SZ4LOOn3lSrkGe5Uzdkon7JTO5X/+77MLTmp3HDUeOKs9cNJ44Kj2QK2wF8sz1DBJktAMjkDdP5zS1acomr8PY1I++S+to3jpYZxn9kfVKahWYwoMcmX6sz1ZsugQ6elFLJi3n0cmdiK8ya2/j/2X6x1PU5Z0moJd35G6YBzBbx1A5Xv73eSVMbZxe5ae28+JrCQ+ObqFD3uOrZX7CtXD5pOVhQsXsmfPHpYvX37dY3Jzc3nvvffYtWsXkiRx55138vLLL2NnZ3db977cDeSu/ndwrbE4F336BcDSDfS/DAYje3bHAtCnX+NbfsM3JueT8/jPmDKKUIR74vbdvci9HG9+Yj1iNpspLMsmqyiB7OIksouTyCpKJLs4iZySZPJLMynV39qsCo3SCZVcU9FCoZD/t8XD8rPif37+39aLf/98+Vh1xc+Xr6s36jGZ9aiVDuWtL5ZWmct/vqJFxqTHaPy3NeffY/7bonP55yv368tbhAxGPXqjFq3BMnBTb9SSX6olvzSjSr8fpVyDk9oDZ40nrva+uNv7Vzy72fvhZu+Hq50PclnNrHHVkEhKOfb3t0NzVwtKlh+l+LuDGM6mkzPhJzRDInB8sS+KamrdqAw3d3umzejJ90siuRSTzXcLD/HQw+1p3dbvtq8tSRLeD89Dl3IObcw+Ur4YQ9Ab+5Db1/zrk0ky3ux8J3dvXMiqC4d5pHl3Wrjf/msSaodNJysrVqxg7ty5dOrU6YbHPfPMM5SWlrJs2TIKCgp4/fXXKSkp4cMPP7yt+18eYPvfMSva2EgAlN6NkTu6X3XOyROpFBaU4eyipm17/1u6rzGziJyJv2BKK0Qe5o7bkvo9NdlkNpFTnERqQQxp+TGW54IY0gouUqzLu+n5KrkdLnbeuNj54GLnjZPaA0e1Gw4qV+xVLjioXXFQlT/UrtgpnZHLbPqf/m0zmYyUGooo1RVQqi+gpPy5VFdIyX9+Li7Lo6gsm8KyHAq12RSWZaE3lqE3askpSSanJBlyTlzzHpIkw0XjhZu9P272vrjZ++Nu74+XUyg+TqHlXV+iG6qyZPYqHCd3w/7eNhTO20PpryfRbopCuyMGh8c64zCpKzKH2vl92tkpmfhkF1b9eIzTJ9P48fsjjLmnNd16hNz2tWVKNf7TfyVhVhd0qedJW/gw/jPWIMlqfghlV98w7gxtzfq4U7xzaD2rhkwULYh1hE2+Y6enp/PWW29x8OBBQkNDb3jssWPHOHToEBs2bKBxY8vaF++88w6TJk3i+eefx8fH55bjuNwN5P7fZOXSYQA0ja49C+jgPstYla7dQ1Aoqv6fz5SvJXfirxgT8pAHuNS7Gip6YxnJeeeJzzlJfM5JEnLPkFZwEb1Re83jJSRc7f3wdAjCwyEQD8dAPBwCy7/h++Ki8UajdBJvOP9DJpPjoHLBQVW1b6xms5kyQ4klgdFmk6/NJLcktfyRQk5JKnklqeSWpmE06ckrTSevNJ3YaxRBlSQZHg6BeDuG4e0Uio9zGN6OYfg4heHhEIhMJqbcX4vM3R6XtwZj/0A7Cj/Yge5gAsULD1C6+hROz/VBM7JlrYxnUSrljH+kI3/8doqD+xNY/espiot0DLgj/Lb/vylcffF/ZjWJ7/el+MR6sv94C8+7362myG/stU5D2ZJwlj2pMWxPimJgkFhDrS6wyWTlzJkzKJVK1q5dy/z580lOvv6y5pGRkXh5eVUkKgBdunRBkiSOHDnC8OHDbzmO3PKCcG7/6QbSxpYnK9eYspyeVkjspRxkMokuXave12zWGch9Zg2GmCxk3o6WFpU6vMaP2WwmsyieCxkHics5QVzOSZLzzmM0XT11UCFT4e0Uhp9zOL4u4fg6NcbPJRwfp0aoFLfXnSdUniRJaJQOaJQOeDpef3Vwk9lEoTaL3JI0cktSKhKa7OIkMgpjySiKo8xQQlZRAllFCZxN23nF+Uq5Bn+Xpvi7RBDgGkGASzMCXJvirPEWiWc5ZYQ3bkvuo2xbDIUf78CYmE/+axsp+ek4zm/egbLFrX8RqyyZTGLsva1xdFSzbcsFNm2MoqiojLtGt0R2mwmTJqwTPo8tJG3RI+T89T7qoNY4dbmvmiK/vhAnDx5r3oOFZ3bzfuRG+gU0RV4LrTrC7bHJZGXAgAEMGDCgUsemp6fj53dlv6NKpcLV1ZXU1NTrnjdw4MDr7ktNTcXPz498nWXqnuu1kpVrtKwc3G9pVWne0hsX16p9wJrNZvLf2IT+cCKSgwq3hXejCHKt0jWszWw2k1YQQ3TGQS5kHORC5kHyStOvOs5B5UaIextCPFoT4tYaf9cIPB2C6n3XTH0ik2TlXW/ehHq0uWq/2WymQJtBemEcGYWxpBfGWpKYwjgyi+LQG7UVrWv/5aByI9C1GcHurQhxb0Owe2u8HEOQSQ3zw0SSJDSDmqDuE0bx8iMUL9iP/mQq2fctx35cBxyf7onMUV3jMQwZHoGDo4q1f5xh7+44iot13Pdgu1tqPf4v5x7jKUs4Se7fn5K2eCIq3wjUwTVfP2p62/78dOEwUXnp/H7xKPc1ufFQA8H66vynQ2lpKSrV1f24arWasrLbK7RUoLN0TTiV11LR5yZjzEsFmRx1cPsrjtXrjBULFnbrXvV+3aKv9qL96yzIJVznjkQZUb2rM9eUUl0B59L3cDrlH86k7iSvNO2K/XKZkjCPdjTy6ECoR1tC3Nvg4RAovj3Xc5IklY8h8qGpd9cr9plMRjKLE0jOO09yXhQp+edJzosmoyiWYl0uURn7icrYX3G8RulEiFsrgt1bW/4teXbEzd63tl+SVUkqBY4Tu2I3ogWFH+5A+3cUJcuPoP37PE4zB6AZGlHj/6d69QnDwUHFzyuPc/xoCtpSAw8/2hGl6va68zzvm0NZ0klKTm8h+YsxhMw6jNzRo5qivjY3tT3T2/RnduRGPj66hbvC2mKnEIPFbVmdT1Y0Gg06ne6q7WVlZdjb21/jDItt27Zdd9/lVpfCy8mK0pKslMUfA0Dl3xyZ+sprnzqZSmmpHjd3O5pEeFXpNZT+dZbiBZY3Z+e3BqPuGVal82tbTnEyRxP/5kTyZmIyIzGZDRX7lHI1jTw60MS7K029uxLm0QGV4tqF84SGSSaT4+NkGbvSIejfOhs6g5a0ggsk5p0jIecU8TmnSMo7i1ZfeFUC4+EQSGPPjjT26kRjz04EuEQ0iDEwch8nXD8bSdndsRS8uxVjQh75L/xF6e8ncf6/QShCrx70X53adwzA3l7JD0sjOX8ug6WLD/HoxM6o1Lf+USLJ5PhNXUXCO93Qp8eQ+s14Ap5fh1TDf5+PNe/B0nP7SCnOZ+m5fUxr3bdG7yfcnjqfrPj6+rJ169Yrtul0OvLy8vD2vr3WicstK87lLSu6pNMAqIOubvY+GmkZV9Opc1CV+nL15zPIf8uyfLnDpK7Y33P1tW1BVlEikQl/cTRx41VN9z5OjWnp15dW/v1o4tVVJCfCLVEpNAS7tybYvTU9G1nGLhhNelLyL5QnLye5lH2MpLxzFVPZD8X/CVhaXxp5tKexVyeaeHWhkWcHlPKa7R6xJnXPMDz/fIzixQcp+vYgun3xZI1ahsOkLjg+2Q3pNpKHm4lo7s3EyV1Z8u0hYi5ks3jhQR57ogt2drfeMiF3cLPMEHq3ByWnN5P957t4jnm7+oK+Bo1CyUvtB/Pcnl+Zf3IHDzbtfMX4RMG21PlkpXPnznzyySfEx8cTEmLpfjl06BAAHTt2vK1rF+qvTFbKEi0f0urA1lccV5Cv5UJ0JgAdOgVU+vqmfC15M9aA1oCqVxiOM3rdVrzVrVRfyNGEDRyIW010xoGK7RIS4V5daB80lDYBg/C6wUBMQbgdcpmSILcWBLm1oGfj+wHQ6ouIzT5OTGYkF7Miic06hlZfyNm0XZxNs6yGrpRrCPfqTDOfnjTz6UmwW8t61/IiqRU4PtUTzYgWFMzeim5PHMUL9qPdFIXLu0NRta/8e1FVNWrswZNTu/HdwkPExeby7YIDTJrcFfvbmFqtDmqDz6PfWAbc/vkumkZdcGx76xMkKmNs4/YsPLOb87lpfHViB290ubNG7yfcujqXrBiNRnJycnByckKj0dC2bVs6dOjAc889x9tvv01JSQlvvvkmo0ePvq1py2bMmMoX2/o3WbFUIVUHXZmsHD+WgtkMIaFueFRymrHZZCb/1Q0YE/ORB7jg+tGdSHLrDyI0mU2cT9vDvthfOZ60Cb3RMu5HQqKpT3c6Bd9Fu4A7cLarWleXIFQXjdKR5r69aO5rSe5NJiPJ+ectyUtmJFEZ+ynQZnIubTfn0ixLY9irXGjq3Y3mvr1o6devXiXYihA33BbeQ9mmaApmb8V4KYec8Suxf6gDjs/2rrHaLMEhbjw5rRuLvzlIUmI+C7/ezxNTuuHodOstWs49xlMas5/87d+QtmgCIW8fRulVc93icpmM1zoNY8KWpSw9t49Hm3cnyKlmu9KEW1PnkpXU1FQGDhzInDlzGDt2LJIk8dVXXzFr1iweeeQR1Go1Q4cO5dVXX72t+1xOVBSSDI1ciUlfhi4tCgDV/3QDHTti6QJq37Hy32SKlxyi7J+LoFbg+sUoZFWcPVTdSnUF7Iv9jX8u/EBGYWzFdl/nxnQPu4cuIaNxd7i1IneCUJNkMjlBbi0JcmtJ/6aPYDabSS24wLm0PZxP30t0xkFKdPkcT9rE8SRLl6uvc2Na+fWntf8Awr061/nidZIkoRkagapbMIUf/UPpmtOUrDiKdkcMLrNqbhxcQKALU6Z3Z9HXB0hNKWTBV/t4cmq3Ks+G/C+vBz+jLO4o2kuHSPnqPoJe333dBWOrQ/+ApvT0a8ze1It8fGwLX/a5v8buJdw6yVyba3XXEQMHDkRvMnJpQjfc/5+9uw6P4uoCOPybtWzchQQL7u5eXAqUQlugUGiBAnWhbtSNflCjUINipaVIobiVIsXdPYRA3HVtvj82pE0hQEKSjZz3efIkmZ25c2YI2ZM7957r5Mrh4W+QGXaQS281R+PqTfWvYnJG3kdHpTLloz/RaBTeeKcHrrfxV4z5WCRxw+aDxYbHu71wGey4cSpXk86w6fRsdl1cQpbFXlfGqHenTdVBtA29jyo+DWXmjijVrDYLYfGHORm1nROR2zgbsweb+s/qxkadvaemYXBXGoV0x91YtDNRikPW9gskvbUO2xX7chTO9zTA/cUuRfZHUUxMKt9N30liYiY+vi48+lgbfHwKPv7DHBfOpcktsKbE4tHpEYIe+a4Qo73e4djL9F3xFQoKawY8SX1f+cPsTlybpHKziSz5Vep6VorLtZ4V95zBtdfGqzTK9eZ95LC9lkut2v63laioGWYSX1wJFhtOPWvhfG/DWx5TFC7GHWL18a9z/tIECPasRZeao2hddRBGfdmpmivKN61GRzW/ZlTza0bf+k+SbkriROQ2jlzZzNErm0nJiuXA5TUcuLwGRdFQ078VTSv2pknFXqW2N/HaANzUz7eSPn8/GcuOkrX1PB5v98LYtUahn8/f342JT7Zj5vSdxMelM/Orvxn/RNsCJyx630oETZhPxJQ+JP/1I87V2+DZeUwhR/2PRn4VGRjamN8vHOKDfWuY3/ORIjuXKBhJVvJw/XiV7JlAFRvk2u/oYXtdkfqNbq/uQ/Inm7FeiEcT4Ibn5J7F3mtxKupvVh/7ihNR23K2NQ7pSbfaD1MroK30oogyz8XgSfPK/WheuR821cal+KMcubKJwxHruZRwlNPROzkdvZNf9k+mqm8TmlbsTdNKvQl0L9klBf5L42rA49VuGPvUIemNNVjPx5P4xFKc722I+8t3FXoxOW8fFyY+0ZaZ03cSG5PGzK//ZsLjbfEuYMLiWr87vve+Q9zi14me+yROVZpirNqsUGP+txeb92TlxSNsiTjNzsjztAmqVmTnEvnn+BGdJZRK7mTFdPUkAIaQujn7JMSnE3E5CUWB+vVvPZg3a8dFMn6xLwrn+UGfYh2ncjHuENM2Pcj/Ng3lRNQ2NIqWNlUH81bf9TzW6TtqB7aTREWUOxpFQ1XfRvRv+Ayv9V7J+/23cV/TN6nh3xIFhYtxB1l66CPe/KML76zqxcqjnxOdctHRYeeLoWkIfotH4fJwS1AgY8kRYu+ZjWlPeKGfy9PLmfGPt8XP35WE+Axmfr2ThISMArfn0+8lXJvcjWrJ4urX92NNSyy8YP+jirsvw2u3AuCT/euQERIliyQrebjWs+Kmt//1YYo6A4AhqHbOPseO2HtVqob63HIEvC3dRPLkdQC4PNgMp3ZVCzvkG4pMPsuMreP5cN0ATkRtQ6vR07nmSN69ewsPt/0fwZ61iiUOIUoDP7dKdK8zhhe6/8bH9+zmwZYfUC+oExpFR0TSSZYf+R9v/NGZD9cNZOOpH0nKiHZ0yLdFcdLh8UIXfH4airaiJ7YrycSPXkjyx5tRsyy3biAfPD2NjH+sDb5+LsTHpzPz679JLGDComg0BI37Cb1/KOaYC0TNerRIk4inGnfFSatjd9RFNkecLrLziPyTZCUP1/5DuOgMqBYz5pjzAOiD/nlzP5qdrDS4jUdAqV9ux3o5CU0FD9ye6VgEEeeWYUpm0f53eXtVL/uzeBTahg7hnX6bGd7iPfzc8r/QohDliadzAJ1qPMjTd81lyr37Gd36M+oFdUajaLkYd5Bf97/NS7+3ZtrmEew4v4gMU7KjQ74lQ4tK+C4djfN9jUCF9J/2Ejt4DuZjkbc+OB+u9bD4+rnYx7BM/5vExIIlLFpXLypM/Bm0elL3LiZp84xCjfXfglw8GF2nLQCfSu9KiSLJSh5s/JOsmGMvgtWCYnBB52UfcJeWauLC+XgA6je8ebJiPnKV9Ln7APB8q0eR1T0Ae52UHecX8ebKrmw49T021UKjkO682Xcdo9t8JkmKEAXgavCkbbUhPH3XHD4euIuhzd8m1LcpqmrjRORWfto1iUlLW/D9jic5EbkNm2pzdMh50rga8Hy7F17f3IvG1wXr+Tjihs0ndfoOVEvhxe3l5cz4x9ri4+tCXKy9hyWpgAmLsVpL/O//CICYBc+TGXaw0OL8r8cbdcFVZ+BIXASrwo4W2XlE/kiykodrCbWL3vBPfZWgWijZS4mfPh2DqkJQBfebjnhXbSpJ724Am4qxX12cOhXdoK3whON8sv5efto1ieTMGALdq/Fk5594vNMP8rhHiELi4ezPXbVG83LPZbzXfysDG02igkcNLLYs9oQtZ9rmB3l9RUdWHJlGXNplR4ebJ2Pn6vgtfxinnrXAYiP1q+3EP/wL1iuF10Pk5W3vYfHxyU5Ypu8kKSmzYG31fPqf8SvTh2LLSCm0OP/Nx+jK2Pr2goNT9q/Haiu5iWd5IslKHtR/96xE2ser6INq5rx+5pS9vH6tOjev5Jqx9CiWo5EobgbcX7qrSGK1WE0sP/I/PljbnwtxB3DSuTK4yau82WctDYK7FMk5hRDg71aZvvWf5K2+G3i11x90rjkSZ70HcWmX+ePoVF5b3oFpm0ewJ2w5ZmvB3qSLksbbBa+pA/D8qC+KqwHzvsvE3vsTmesLb7yGt7cz4x9vg7ePM7ExaXz3zU5SU7Py3Y6iKASNnYXOpxLmqDNE/TSxyB7TjG/QCU+DM2eSoll6/mCRnEPkjyQrebj2n8BZZ8AUaf+PawislfPa6exkpfZNVli2pWSROs2+VonbxHZob7MUf36ExR/hg7X9WXn0c2yqhWaV+vDu3ZvpWXd8qa/KKURpoSgKVXwaMrzFe3xyzx7GtP2cOoHtUVE5EbmV73c8yYvLWrFw31tcSSpZAzcVRcF5QH18Fz+EvmEQanImiU//TtLkdagZ5kI5h7ePC+Mfb4unl5HoqFS+n7GLjAK0rXXzocLE+aDRkrLzZ5K3ziqU+P7Lw2DMWYV56sENmG3WWxwhipokK3n4Z8yKHlPUWQAMQfZiSpFXU0hOykKv11C1Wt7rSKTO+BtbXDraUB9cHizc+gBWm4UVR6bx0bqBRCSdxN3Jl0fbT2d8hxl4Ohd8TSQhxJ0x6Iy0qnoPz3ZdwPv9t9KvwdN4uwSTbkpi8+nZvL2qB59tfIB9l1ZitRVOMlAYdJW98Zk7HNex9um7Gb8eIu6BeZjPxBRK+z4+Loyb2AY3NwNXIpL58dvdmAowE8m5Znv87n0XgOh5T5EVcaxQ4vuvh+u2w9/ZjbCUeH45vbdIziFunyQrebjWu+isM2CJvQiA3t8+3uRar0q16r7o9TdeydV6JZn0efsB8HjxLhRD4a34mpB+lambhvPH0anYVCstKvfnrb7raV5ZVgwVoiTxc6vMgIbP8UH/bTzVZQ5NKvZCUTScjt7Jt9sf49Xl7VlxZBpJGVGODhUAxaDF/bnOeH9/Hxo/VyxnY4m7by7pPx8olEcuAQFujJ3QBmdnPWEXE5j9w17M5vz3Wnj3fQGXBj1QTRlc/Xootqy0O47tv1z0Bp5sZH90P/XQRjIsJSexLI8kWclDzpgVjRZz/CUAdL5VADhzKha4+XiV1G92gNmKoXVlDJ0Kr/LlocvreXd1b87E7MKoc2NM288Z1/6rMrGeiRBllUajpX6Fzkzs+C0f9N9O3/pP4mH0JzEjij+OTuXl39vx7fbHOR29s0RMl3VqVxXfpaPsEwJMVpLf3UDis8uxFWCsyX8Fh3gwZnwrDE5azp6JZd5P+7Fa8zeIVdFoCHp0DlqvCpiuHCfm50l3HNeNPFi7NSGuXkSlJzP35M4iOYe4PZKs5CFnbaCMRLBaQKtD5x2M1Wrj4gX7lOUaNf1ueKzlQjwZy+xT3tye7lAolWFtNitLD33C9K1jSTMlUtmnIa/1XkmrqvfccdtCiOLj4xrMwEaT+HDADsa2+5Ia/i2xqRb2XfqDzzY+wPtr+7HzwhIsVpND49T6uuL1zb24v3wX6DRkrTtN3JA5mE/eeSG8ylW8eXhsK3R6DSeORbFw/kFstvwlaTqPACo8OgcUhaQ/vyV137I7juu/nLQ6nmliX5Tvq8N/kma+82RNFIwkK3m41rPimmp/5KPzroii0XIlIhmTyYqzi57AIPcbHpv65TawqjjdVR1Dk5A7jiXdlMTXW8ew5vjXAHSrPYaXui8hwL3qHbcthHAMndZAyyoDeKH7b7zeezUdqw9HrzUSnnCMWTuf5bUVHVhzfDppWYkOi1FRFFwfaoHP3GFoKnhgvZRI3LD5pC8+csdtV6/hy0MPt0CrVTh04ApLFh3Od6+SS72uePd+HoDIWY9iSbhyx3H91301mlHV3Zf4rDTmSO+Kw0iykoec2UDJ9mfJ+uxHQOfPxQH2EvsazfU9JuZT0WSusddlcXuqwx3HEZl8jo/W3cPRK5vRa50Y0/Zz7m/2psz0EaIMqeRdjxGtPuSjgTu5p9GLeDoHkJgRxdJDH/Py7234ee8bRKVccFh8hsbB+C1+yP5YKMtC8htrSHp19R3PFqpTN4DhI5uhKLB7ZzhrVp7Mdxt+g9/FqUozbKlxRH7/MGoh10XRabQ81dg+dmXG0b9INzu2x6u8kmQlD9cSfEOSvQy13q8yABezq9aG5jELKO373QAYe9VGXzvgjmI4G7OHT9bfS1TKebxdgnmx+2J57CNEGebm5E2f+o/zQf/tPNxmKhW96mGyZvDnmTm89cddfLP1US7EHXRIbBovZ7ym32tfLkSjkLHsKHHD5mHJfixeUA0bV2DIA40B2LzxHFu3nM/X8YrOQIXxc1EMzqQf20Dius/vKJ4bubd6U6q4+xCXKb0rjiLJSh6uTV3WJdm7FXW+VbDZVC5cyDtZsVxOJHON/S8D13Gt7+j8+8NXM3XTg6SZEgn1bcqrvVZQ2afhHbUphCgddFoDbULv5fXeq3j2rgU0DO6KisrBy2v5aN1Apm4azsnI7cU+GFfRKLg92gbvH+9H4+uC5XQscffNIXPdqTtqt2XrSvTpVweAFcuOs39f/ir/GoLr4D/sMwBif3u10Mvx23tXugL23pUMi/SuFDdJVvJw7ZeAJvsZqN6vCjHRqaSnmdHrNYRU9LzumPTZe8GqYmhXBX29gtc62XJmHt9um4jFlkXjkB481/VnPIw3HswrhCi7FEWhTlB7nug8i8l9N9A2dAgaRcvJqO1M3Tycj9bfw8HL64p9LSKnVpXxXTIKQ6tKqOlmEp9ZTsq0raj5nNXzb126VadD9szJXxcc4lQ+B/J6dnkU16YDUC0mImeOwJaVXuBYbuTe6k2p7OZDbGYqc0/uKtS2xa1JsnILakIEADqfSoRfSgSgYiUvdLrct84al5Yz6Mx1TMF7VTac/IEFe19DRaVTjRGM7zADg865wO0JIcqGCp41Gd3mM97r/xddao5Cr3XiYtxBvtk6jndX92LnhSVYbfkvslZQWn83vL+/H5dRLQBI+3YnCY8twVbAtX8UReHugfVo0iwYm01l7qx9XApLyNfxQY98lz2d+QQxv7xYoDjyotdoeTJ77Mr0I1ukd6WYSbJyC2qSfYCtzjuYy+GJAFSs7HXdfhmLDkOWBV39QAxtKhfoXGuPz2DRgXcA6F3vcYa3eA+tRlegtoQQZZOva0WGtXiHD/pvp3fdxzDq3bmSdJpZO5/lzT+6sO3cz8VWGVfRafB46S48P+kHRh2mrReIu39ugaveajQK9w9rQq3a/phMVn78bjfR0am3fbzW3Y+gsfYS/EmbviH14B8FiiMvQ2o0o5KbN7GZqcw7Jb0rxUmSlZvQ2yzY0u2Zvc4ziMvhSQBUrJT7EZBqsZH+6yEAXEc2L1BdlZVHv2DJoQ8BuLvBM9zT6IVCqc8ihCibPJz9GdTkJT4csJ2BjV7A3cmX2LRw5u5+mTf/uIvt534ptqTF+e56+M4bjibYA2t4IvFD5xd4HItOp2Hkw82pVNmT9DQz38/YRVJixm0f79qgB969ngUg6sdHsabEFiiOG5HeFceRZOUmfM3Z3ZlaParRiysR9qXT/5usZP15DltkCoq3M8ZetfN9ng0nv2f5EfvgsIGNJtG/4bOSqAghbouLwZO+9Z/ggwHbua/pG7g7+RGbFs6c3S/y5squ7Di/qFgeD+nrBeK3aCSG1pVRM7LHsUz9q0DjWJycdDw8rhV+/q4kJmTww7e787Xwoe/g9zCE1MeaHEXUT48V6kDkIdWbUdHNi5iMVOaf2l1o7Yqbk2TlJoIs9gFaOs8goqNSsVhsGI06fH1zr56cvvAAAC6DG6E45e+xzd8XFrPogH1RrgENn6dv/ScLIXIhRHlj0DnTvc5YPhiwjSFNXrP3tKRe4qddk5i8sht/X1hc5EmLxtsF7+/u+2ccy3e77ONYUvJf+dXNzYmxE1rj7uFE5NUU5s7ai8Vye4mPxmAkaNxs0OpI3buYlJ0/5/v8eTFodTzR6N+9K7JmUHGQZOUm/M32rkedVwXCcx4BeeUqBme5mIBpRxgo4JxdK+B2HYrYwJxdLwD2qrSSqAgh7pRB50yPuo/y/oBt3NvkFdycfIhOvcjsnc8xeVV39oQtL9LZQzccxzJsPpZLtz9Y9hofHxfGPHptHaE4Fv9y+1VujVWb4TvgdQCi5z6JOXuyRGG4v0ZzQly9iM5IYb6MXSkWkqzchJ/Z3rOi9QwkIo/xKhm/29cAMnQIRRdy/XTmvFyIO8h32x/DplppU3UwQ5q+Lo9+hBCFxknnQq+6E3i//zYGNX4JV4MX0SkX+H7Hk3y4tj/Hr/5VpHVacsaxBLphPR9H3ND5mPaG57ud4BBPRo5qjkajsG/vZdavPX3bx/r0exmn0BbY0hOJ+nFcoV2vQavLWZH5m6N/kWUtvllY5ZVMNbkJX9O1x0AViLxqH69SIcQj53XVppKx4jgAzvc0uO12E9KvMv2vsZitWTQM7spDrT9Go0jeWFapqgqqFVQrqmoB1QI2S87Xqs2S/Xr2NpvlP19b/7OvBZs5CVtmNDr3mqDRoyi6/3zWg0aX8xlFj6LRg6LL/VmjBzSSKJdhRr0rves9RpeaD7Hh1A+sP/EtlxKO8vmfI6kd0JZBTV4m1LdJkZxbXy8Q319GkvDEUixHI4l/5Fc83uqJy+D8FbisXTeAewY3YMmiI2xYewYfHxdatKp0y+MUnZ6gcbO59GZz0o+sJenPb/G6a3xBLyeX+2o2Z9qhjUSmJ/Pb2f08WLtVobQrbkySlZvwMacBoPEIIuq0ffpc0L8WLzTvu4ztSjKKmwHjXdVvq80sSzrT/xpLcmYMIZ51GNvuS7QafeEHLwB7oqBa01BNidjMSaiWZFRLOqo13b792teWf3+flr3t2ucMVJspO4GwJxX/Thz+nXDcKBlBtTr6Ntzaf5Ib++cbJEE5iY4BReuCondH0dk/NDr37O/d7N//+zWDLxonP/v3khg5hFHvxt0NnqZzjRGsPv41W87M5VT033y0biDNKvVhYKNJBHnUKPTzagPc8P1pKEmvrSZzzSmS31iD5Xwc7s91QtHe/h9pbdpVISE+nc0bz/HbL4fx9HKmZq1bF8t0Cq6L330fEPPz88QsfAGX+t0xBNze7+ubtqvVMaFBJybv/oPpR7bwQM3m6DTaO25X3JgkKzfhlWVPUDKNwWRkmNFoFPwD/hlcm7H8GGBfB0gx3jrhUFWV2Tuf51LCUdydfHms0/cY9W5FE3wZpNrM2LKisWVGY8uKwWaKwZYVizUzGpspBtWUYE9IzInYTInYzImo5sSSnSwoOvubv6LN7gHRZScG2Z8VbXZyoPvXvjp7z4o5Hp1LFVTVBqoZ1WbOTpTM2b0y/2zLeU3No7taNYPVjIp9nFaRPRxQ9GicfNEY/NA4+eUkMTnf/+s1xeCH1hiAopWiiIXJ3ejL/c3epFvtR1hxZCo7Lyxmf/hqDlxeS/tq93N3g2fwdqlQqOdUnPV4TumPtpovadN3kD5rD9aL8Xh+cjca19tflLVX3zrEx2dw6MAV5s7ay2NPtSOogsctj/Pq8RSp+5eTcWoLUd8/QsWXN6EUQmIxvFYrPj+0ibCUOP64eIR7qjW54zbFjUmychOeJnvPSpzVnr37+bmi09l/wNVMM5lr7XUEnAfUv632Np76kf3hq9Bq9EzoOBM/t1t3Y5YXqmrFlnEFS9oFrGkXsKZdxJoZgS3jCtbMq9gyrmDLiqHAb6OKDo3B2/5Xv9YVRedq7xnQuWR/zv7+31/rXFG0zvavNQZ7spCTRFxLILS5EoycrxVt7gQj52vtP/s64PGL/ZGUJVcCo9rMuROc7M/2BMjyn8/XjjGhWlLtH+YUbJYU1JyPVGzmlOzXU7CZk1FN8ajWNFDN2DIjsWVG3nbMisEHrXNFtM7BaJwr5nytda6IxjkErXNFFL2n9Njkk69rRUa3+YwedR7l98OfcihiPdvOLWTXxaV0rzOO3nUnFuofU4pGwf2J9uiq+ZD06mqyNp8j/sH5eE8fjDb41gkH2IvGPTC8MclJmVw4H8+P3+7m8Wc64OlpvMW5NQSN/YGLbzQh4/Q2EtZOw6fP83d8TS56A2PqtWfKgfV8dfhPBoY2lp/DIiLJyk24Zg+wjc1wA7IIDPrnP27WtguoqSY0FTzQN694y7YuxB5g8cEPALiv6evU8G9ZJDGXZKrNgjXtHObkY1hTz2FNO5+dnFzEmnbR/tf9rShaNE7+9g+Dv/2vcWOA/WuDDxqDF4reC43eC8Vg/6zRe4HWWX6JYC9JjqIH9MXeY6FaM7BlxWEzxWLLis3+HPevr2Oxmf79fQzYTKimeCymeCxJh/NsW9G6onUNResais6tOlrXavavXauhda2Kor35m1l5FuJVm8c6fc+5mL0sOfQxZ2N2s/rYV2w/9wsDGz1Pu9D70RTi4w3nvnXRhniS+OQy+0KIw+bhPWMw+rq3t56aTqdl1CMt+PqL7cREpzH7+z1MfKIthluUjdD7hxIw7DOiZo0nbvHruDbqg1NIvTu+ntF12/LNkS2cTIhk4+WTdK9U947bFNdT1OJetrMU6NatG5dS4vml6XncslLZ33Ej+4+m0r1XTXr2thd9S3x5JZnLj+MyqjkeL3W9aXtpWYm8v7YfcWmXaVapL4+2n16m3zhVVcWadh5z4kEsySewJB/DknICS8opsN2k4qOiQ+tSOftNpypa50ponSugMYZk/1UdjMbgiyKDkcsFVVVRzUlYMy5jy4jAmnEZa/Zn+/cRWNMvo5pvPSVW4xyCzq0mOvc69g+POujc66JxDinT/xfzS1VVDkWsY/GBD4hOvQhAiGcd7mv2BnWDOhTquaxXk0mYsBjLmVgUFz1e0wbi1CH0to+Pi03jq8+3k5ZqomGjIB7MnjF0M6qqcmVqf9IOr8ZYrTWVXt9aKI+D3t+zmm+ObqGZf2V+7zex3P9MdevWDYCNGzcWWpuSrNzAtWRlRf2jaFQbaxtsIDwijRGjmtGoSTCq2Up0x69Rk7PwmTMMQ4u8e1ZUVeW77Y+zL3wl/m5VeK3XHzgbbq/LszTISUwS9mJO2G//SNxvHytyA4rWBZ1HXbRutXL+6rUnJ9XQOofYH5cIkQ+qJR1rRvg/jxBTz2NJO5/9OPEcqiXvtWUUnXt2AlMbnUfd7ESmLlq3GvZxROWUxWpiy9l5/HF0Gukme9mGhsFdGdzkVSp41iy089iSM0l8+ndMuy6BVsFjck9cBje67eMvnI/n2+l/Y7WqdOtZk159bl1B3Bx/mbDXGmLLSMZ/2Gd493rmDq7ALjo9hba/fUyW1cKvvcfRrsKdD+AtzYoiWZF3hjxoUNFkF06KS7D3Bvj52x8DmfZeRk3OQuPjgr5p8E3b2RO2nH3hK9EoOsa2+6rUJyqqzYQ54QCmuB2YYrdhjtuBLesGS7lrDOg9G6LzqI/Oo17Oh9alivSMiEKl6FzsyYb79W9UqqqimuKwpJ7DknoKS/LJnF4+a+pZVEsK5oQ9mBP25D5Q64zesxF6r8boPBuh92qCzrMhGl35GBCv0xroVvsR2lS9lz+Ofs6fZ+Zw5Momjl3dQqcaD9K/4bO4Ofnc8Xk0Hka8Zw4h6a21ZP5+jOQ31mK9kozbE+1vq3citJoPg+9vxK8/H2LjujMEBLrRtFnITY/R+1TEf+inRM0aT+zi13FtcjeGwDubBRXg4s7Qmi346eROvjr8Z7lPVoqCJCt5ULI7nMwGX9LT7WMpfHxdAMjaeAYAp641bjr1LjE9ip/3vQFA3/pPUtX39v9iKClUVcWSfBxT9AayotZhivkL1ZqeeyeNAb1nY/TezbI/WqDzqG+f5iqEAymKguLkh8HJD4Nv61yvqTYTltSz9keVKSftH9nJDNYMzPG7MMf/uzqpgtatJnqvxui9mqD3boHepyUa/e0XgyxtXJ28eKD5W3SpOZLFBz/kUMQ6/jwzh91hvzOg4fN0qvHgHa8Mrxi0eH7QB22wB2nf/E3aN39jjUjC853eKIZb9261aFWJqMgUtmw+z6KfD+Hr60LlKt43Pcaj0xhSdv1K+vGNRP34KBVf2oCiubM/oiY06MS8U7v568oZDsVeprHfrccyitsnyUoeNNmzTlJdawHg5mbAaNShqiqZm84CYOyWd3eoqqrM2/MK6aYkKvs0pG/9x4s+6EJiM8WTFbmGrKj1ZEVtwJZ5JdfrisEHg287DH4dMPi2Q+/dXAYwilJH0RjQe9RD75F7kKWqWrGmnsWceBBz4iEsiQcxJx3GlnkVa+pprKmnyby8KGd/rXsdDD6t0Pu0wuDTCp1nozKXqAd6VOOxTt9xKupvft3/DpcTj7Nw35tsO7eQoc3fpmbAnRVEUxQF9yc7oA32IHnyOjKXH8cWnYrX5/egcXe65fF97q5LdHQaJ45F8dMPe3ny2Q54eec9gFxRFAIfnsnF1xuTcWoLSX/OxKvrxDu6hkruPgyq1oTfzu3nq8Ob+a7ryDtqT+RWIses2Gw2vvrqKxYtWkRKSgotW7bkzTffpFKlG0/1jYuL44MPPmD79u2oqkq7du14+eWXCQy8vdHl/9WtWzeikqJZ0uA4l4KGsy7rAapU9ebxp9tjORdHbP8fwUlH4N9P5Flf5UD4GmZsG49Wo+f13qsI9qxVoFiKizXjCplXficzYimmmD9z1ybRGDH4d8QpsCdOAd3ReTaQRzmi3LFmRmFJPIQ56VD2+Kw9WNMuXL+jxojeuxkG75bofVuh92mLzrVK8QdcRKw2C1vPLeD3w1NyxrO0qjKQwU1ew8ulYL9z/y1r2wUSn/kdNd2MrqYf3t8OQRvofsvjMjMtTP9iO5FXUwgO8eCxJ9vdcoZQwvqviJn/NIrRjarvHUbvd2f/TmcSo+m6dCoqKpsGPUstrzu/H6VRUYxZKZHvONOnT2fBggW8++67LFy4EJvNxtixYzGZbjyT5JlnnuHKlSvMmjWLWbNmceXKFR5//M56MjTZOVyK3t6V5+uX/Qhox0UADC0q5pmoZJrT+GX/ZAB61h1fYhMVa2YkqaenEbupPdErK5F84AlM0RtBtaLzaIBrrRfw6biWoIFx+HZcg1ut59B7NZJERZRLWmMgTkE9cav9At5tfiagz1kC7r6Kd/vluNV9HUNgDxS9F9gyMcftIO3s5yTuepCY1dWIWlmVhN0jST//LZbkk0W6Jk9R02p0dKn5EO/e/Scdqw9HQWF32O+8ufIu1h6fgcV6kxl/t8GpQyg+c4ah8XfFciaWuAcXYLkYf8vjjEYdD49tiaubgSsRySxccBCb7eb32avbYxhrtkfNTCVq9vg7/nep6RVAr8r2nrqZR7feUVsitxL3rmMymfjxxx956qmn6NKlC3Xq1GHq1KlERkaybt266/ZPTk5m9+7djBs3jrp161KvXj0effRRjhw5QmJiYoHjuPYYKFkJAMDX11651rT9IgBObfPOwFce/ZyE9Kv4uVaib72StZKyzZJGetg84rf2IfqPSqQcfh5z/E4A9D5tcW/4Mf69T+Hf8xAejT7CKbC7POIRIg9aYwDGCv1wr/82vh3XEDggFv9eJ/BsORuX6o+j924Jig5bRjiZlxaQtH8iMevqE/1HBRL+HkLamS8wJxywL+NQyrg5+TCi1Ye83HM5ob5NybKkseTQh7yzuhfHrm65o7b19QLxXfAg2qre2K4kE/fgAsxHb11I0NvHhVEPt0Cr1XD0cCTr1py66f6KRkPQmO9R9EbSj64nedvsO4obYGLDzgAsPXeAqPTkO25P2JW4ZOXkyZOkpaXRtm3bnG0eHh7Uq1ePPXv2XLe/0WjE1dWVZcuWkZqaSmpqKr///juhoaF4eBR85s21AbZJVvtALV8/F1STBdMe+6qhhvZVb3jclaTTbDj1AwAPNH8bg65kvNGbE/aTuG880SsqkLRnFFlR6wAbep+2eDT5koB+4fh13YZb7Uno3Ap/fRAhygNFUdC518Klykg8m36BX7edBA6Mx6fjOtzqvoHBvwtojNiyYsiMWEryoWeJ3diCqN/9iN8xiLSzX5e6npeqvo14sccSRrWegruTH1Ep5/niz4f4ZuujxKdduXUDedCGeOI7bzi6BkGoCRnEj15I1t9ht46nmg9DHrBPZti0/iyHD948BkNQLXwHvQ1AzILnsSQUPGaA5gGVaRlQBZPNyo/Hd9xRW+IfJW6AbWSkPXuuUCH32hQBAQE5r/2bwWDgo48+4s0336RFixYoikJAQADz5s1Dc5PR3deeqd3I1atXMRqzkxWLvUfFx9cF08ErqBlmNL4u6Gr53/DYJQc/wqZaaBzSg0YheZ+jOKjWDDLCF5J+bmauqZla1+o4V34Q5yoPSmIiRBHT6FxxCuyGU6D994FqzcKcsA9T7FZMsX9hit2Bakkm68pysq4stx/jXBGnAPsxhoDuaI0le+yDRtHQrtp9NK3YixVHp7H59GwOXl7LichtDGj4PHfVGlWgWUMaHxd8Zj1A4pNLMe28RMKExXh93A9j75vXU2nesiJXrybz1+bz/PLzIfwD3Khwk5L+3r2eIWXPb2Rd2EPU3CcIeWpJvmP9twkNOrFn01zmndrJk43vwk1/60HC4uZKXM9KRoZ9ITWDIffiVk5OTmRlZV23v6qqnDhxgqZNmzJ//nx++ukngoODeeyxx0hNzbsY1K0oqooNDWlm+w+Zl7cz5r2X7bG1qXLDGgCno3dx5MpGNIqWe5u8UuBz3ylbVhwpx98jelUoSXvH2hMVRY+x0lB8Om/Cv/cp3Ou/JYmKEA6gaJ0w+LXDrc5L+HRYSeDAWHy77sK9wQcYArqBxglbxmUywn4icfdDRP8RTMz6JiQfep7Mq6uwWdIcfQl5cjZ4cH+zN3m99yqq+TUjy5LGogPv8OG6AVyMO1SgNjWuBrxnDMapZy0wW0l8fjnpCw/c8rg+/epQs5YfZpOVn37cS3pa3mNpFK2OoEe+A62OtP2/k7pvWYFivaZH5bpU8/AjyZTJwtPXPxEQ+VfielaMRvtjE5PJlPM1QFZWFs7O109FW716NfPmzWPz5s24udkLNs2YMYO77rqL3377jdGjR9/wPDcbpdytWzeS4y+TqXhiUzUoCri7O5G0PztZuUHRIVVVWXLwQwA6VB9GkEfxFwWypF0k7cxUMi78mFMLRetSBZdqE3CuOhqtMaDYYxJC3JyiaDH4tMDg0wK3Oi+hWtIxxW0nK2ojWdEbsCQewJJ0BEvSEdLOTAONAYN/Z4xB/XCq0BedW8krQBbiVYcXui9m27mFLD34IeEJx/ho3UA61xzJPY1eyHdxTMWgw+uz/iS/t4GMXw6R/M4GbPEZuE5sm2fxOK1Ww/CHmvHl/7YRH5fOgnkHeGRcqzxL8jtVaohPn0nE//ER0fOewrleV7TOBRtKoFE0PNqgIy/vWMp3x7Yxum5bdIW4vlJ5VOJ6Vq49/omOzl0VNTo6+oZTkffu3UtoaGhOogLg6elJaGgoYWG3fr6ZFwVI0/gC4OFhRAOYD10FQN/0+mTlwOU1XIg7gEHrzN0Nni7weQvCknaRxL1jiFlTi/SzX6Fa09F5NcWr1Tz8e5/Grc6LkqgIUUooOhecAnvg0egj/LvvJaB/JF6tf8Y5dAxalypgM2GKWk/yoWeIWVOL6LX1SD40iazoTag3W3urmGkUDZ1qDOftfptoXXUQKip/npnDW6u6se/SynyPy1G0Gjze7IHrRPt4xtSvtpPy4SbUm8z4cXU18NAjLdDrNZw+GcPaVSdveg6fAa+jD6iOJSGCuMVv5Cu+/xpSvRl+Rjci0hL54+KRO2pLlMBkpU6dOri5ubFr1z+VI5OTkzl+/DgtW16/UnFQUBBhYWG5HhGlp6dz+fJlqlatWuA4FFUlTeMHgKeXEcvpGNQ0E4qbAV1Nv1z7qqrKyqNfANC9zlg8nYsnMbBmXCXpwJPErKlDxsXZoFoxBPbAp+Na/LrtwbnyMFlrR4hSTuvkj3Ol+/Fq/i3+fc7h1/Mo7g0/sQ/WVXRYU06RdmYq8X/1IGp5AAl/30f6xVlYs2IcHToAHs7+PNJ2Gs/cNZ8A91CSMqL5dvtjfLVlNLGp4flq61rxOPfXuoEC6fP2k/zmWlSrLc9jgkM8uG9oYwA2bzx30wG3GoMzAaOmA5C48Wsyzu3Kc99bMer0jK5rT6xmHPmrVA2aLolKXLJiMBgYMWIEU6ZMYePGjZw8eZJnn32WoKAgevbsidVqJSYmhszMTADuuecewF5r5eTJk5w8eZLnnnsOJycn7r333gLHoUElTWNf+8LD04jpQAQA+sbB15XYP3JlE5cTj+Okc6V77bEFPuftsplTSD7yGtFrapJ+bjqoZgwB3fC9awe+HdfYpxuX81U/hSiLFEVB71EXt9rP49t5I4EDovFqsxDnKg+hcQpAtaSQGbGEpL1jiV4RTNyfd5F25nMsaQXvZS4sdYM68GafNdzd4Bl0GgNHr/7JO6t7sun0LGxq3snGjbg+2AzPD/qARiFjyRGSXlqJas57+neTZiF0uqsaAL/8fIirV/KeUuxavzvu7UaAqhI1ewKqxZyv2P5tVJ02OOv0HI2/wo6r5wrcjiiByQrAU089xZAhQ3j99dcZNmwYWq2WH374Ab1ez9WrV+nQoQOrVq0C7LOEFixYgKqqjBo1iocffhi9Xs+CBQtwd7911cO85OpZ8TRiPmDPxg3/eQSkqiqrjn0JQOcaI3B18irwOW9FVW2kh80hZm1d0k59BNYM9L7t8Om0Ed9O665b+0QIUbZp9J44V7wPr5azCLg7At+uO3Gr+yY6r2aADVPsXyQfeo6Y1dWI2dCSlBPvY04+7rC/8vVaI/0bPssbfdZQ0781WZZ0ftk3mSkbhnA16Uy+2nIe2ACvz/qDTkPmqpMkPrMcNcuS5/75GXDrP3QKGjdfTOGHSVg3LV9x/Zu30ZUHarYA4JujfxW4HVFCy+07Wrdu3ciMDeOh9vdwzqkLffvXpf4nm7BeSsT7uyE4tQ/N2fdU1A7+t2kYOo0THwzYVmSPgMwJ+0g68GTOwmpa1+p4NJ6CU4X+0osihLiOJe0iWVd+JzNiGabYbcA/vRdat1oYQ+7BGHwPep+WDqlKbVNtbD27gCUHPyTTkopOY6Bfg6fpVde+TMntytpynoSnl4HJiqFdFby/HITifOPj09JMfPG/rSTEZ1C7jj8P32TAbdLW2UT9MAbF4EyV9w5jCKhWkMskLCWOjounYFNV1g98hro+QQVqpzQpN+X2SwIFlQyNvSCcp16D9VIiYK+s+G/XCsC1r35/kSQqqiWd5MMvEruxDeb4XSg6N9wbfoR/zyMYgwdIoiKEuCGda1Vcaz6Nb5fNBPS/gmfzb3EK6gMaA9bU06Sd+oS4ze2IXhVK8qHnMcXvLtYeF42ioXPNEbzVdz0NKnTBYjPx++FP+WDtAC7F3/6AVKfO1fCeMRjFWY9pRxjxj/6GLfX6MhdgH3A76pGW6PUaTp2MYeO6vHtzPDqMwrnuXaimDKLnPFbge1PF3Ze+VRoA8O0x6V0pKElW8qBRVTIU+9LvHjH2ugaaIHc03i45+8SkXuJIhD1z7FbrkUKPISt6MzHrm5B2+jPAhrHSUPx7ncSt9gsoWikyJIS4PVonf1xCx+DT4Q8C+0fh1XoBxor3oejcsGVcJu3MNOI2tSVmTU2Sj7yCOfFgsSUuPq7BPNF5No+0nYarwZvLicf5cN1Alhz8CJMl87bacGpTBe/v70Nxd8K87zIJY37Flphxw32DQzy49z57hdsN605z+uSNByIrikLgqG9QdE6kH11Pys6fC3aBwKMNOgLw+/lDxGSkFLid8kySlZvI1Njn2DtH2FcW1dfN3XOy5cwcVFTqBXUm0KNgXYQ3olozST74HPF/dceadg6Nc0W82y/Hu/V8tM4Vbt2AEELkQaP3wLnSA3i3WUhg/yi82y3BWGkoitYVa9oF0k59QuyG5sSsrUfKscmYk48XeUyKotC66iAm99tAi8r9salW1p74hvfW9OFszO0VVTM0DcFn1gMoXs6Yj0QSP3oh1tgbF9Br3rIirdtWRlVhwbz9JCbcOLExBNXEZ8BrAMT8PAlrWmKBrq+Zf2Wa+VfGZLMy92TBZxiVZ5Ks3ESmYk9W9GH2FT91df5JVkyWDLaf+wWAu2qNKrRzmpOOErupDWlnPwfApdp4+yOfCv0K7RxCCAGgaI0Ygwfi3Xo+gf0j8WqzEGPIINAYsaaeJvXEu8Sua0jMusaknviwyGcVeRj9GNf+KyZ2/A5P5wCiUs4zZcN9/HbgPczWW/ey6OsF4vPTUPuKzadj7QlLzI0rmQ8YVJ+Qip6kp5mZ99M+LJYbz0jy6fsC+qDaWJOjiFv6VoGvbWy99gDMObmTLGveA4HFjUmykgcVBVXJrlFyPg7I3bOyP3w16eZk/Fwr0aBCl0I5Z/rFWcRubIUl6QgaJ3+82y/Hs9l0NPqCL8gohBC3Q9G54FzxPrzb/mZPXFrNwanC3aDosSQfJeXY68Ssrkbcn11Jv/ADNnNSkcXSpGJPJvfdQLvQ+1BRWX/yO95f0++2Svbra/rhM2cYmiB3rOfjiR/9yw0TFr1ey8jRzXF21nMpLJGVy2/cg6ToDASMtNfRStw4ncywW5f6v5E+VRsQ5OJBbGYqKy4UbOmB8kySlTyo2bfG2aDFei67Z6X2P8nKzguLAWgTOgTNHZZRVm0mkvY/RtLesWDLwimwF349DkpvihDCITR6d5wrP4hP+98J7H8Vz+bfYfDvCiiYYreQtO9RolYEk7BzGJlXV6LaCl6LJC8uBk9GtZnC451+xMPoz9Xks3y8fhDLD3+GxXrzSr26Kt72HpYKHlgvxBM/aiHW6OsTFh9fFx4Y3gSA7VsvcujAjQvGudbvjlur+0C1ET3nCVRb/urCAOg1WkbXbQfA98e2S5G4fJJkJQ/XkpVARQWzFZx0aEPsA27j065wMmo7AG1DC154DsCaccX+l8r5mYCCW7238e7wB1pj2Z/eJoQo+TQGb1xCH8G383oC+l7AvcEH6DzqgS2TzMu/krB9ANErK5N08FnMCfsK/U24UUg33uq7npaVB2BTraw89gUfrRtIROLNS+frKnnh89MD9oTlYoL9kdANEpZ6DQK5q5t9faVFvxwiOurGj438h32GYnQj89xOkrfOKtC1PFirJUatvUjc7qiLBWqjvJJkJQ9qdt2BAJO9KqKuqjdK9nz83WHLUFGp6d8aP7fKBT6HOfEQsRtbY47/G0XvhXf75bjXe90hNQ+EEOJWtC6VcKvzEn49DuPXbTcuNZ5C4xSALSua9LNfELuxFbHrGpJ68hOsmZGFdl43J2/Gtv+SR9tPx9XgTXjicd5fezerj32N1Zb3+A9dxeyEJTg7YRm1EGvU9bNxevapTfUavpiyrMydvQ/TDYrL6b1D8B1oH7MSs+gVrKlx+b4Ob6Mrg6s3BeD749vyfXx5Ju+KebjWs+KbYe/e1FX1yXnt2iOgtqGDC9x+VtRG4v7sjC3zCjqPevh124WxQt87iFgIIYqHoijovZvj2WQqAf0u4d1+OcaK94PGiCXlBClHXyF6ZWXidwwi88ofqDdJKPKjeeV+TO67nsYhPbDazCw7/AmfbhhCZHLepeztCctQtCGeWMOyE5bI3AmLVqth+MimuHs4ERWZwpJFR27YQ+Td40kMIfWxpcYR+9vrBbqGR7IH2q69dJzwlPgCtVEeSbKSBxV7L4pnkn0EuraaPVm5mnSGq8ln0WkMNKtcsOQi49IC4rf1Q7WkYPDrjG+XrejcahRO4EIIUYwUjR5jhX54t/mZwP5X8Gw+E71PW1CtZF1ZTsKOgUSvqkrykdewpJ694/N5OPszseN3jG7zP5z1HlyIO8D7a/rx19kFeT6C0oV44jP7AXvCcinRnrBczb0+kLuHkREPNUOjUdi/L4Ldu65fZFHR6Ql46CsAkrZ8R+b525tW/W+1vQPpFFwTm6oy+8Tf+T6+vJJkJQ/XelbcEtOBf3pWDlxeA0CdoPY46/O/9lD6+e9I3D0SVDPGivfj03E1GoNX4QQthBAOpNF74hI6Fr+u2/DreQTXms+iMfhhy7xK2qmPiFlTm7gt3UgPm4dqvXFtk9uhKAptQwfzVt911Alsj8mawfw9r/DN1kdJybzx4xnttYSloifW8ET7GJb/9LCEVveld9/aACxfcpTIq9c/MnKp3emfhQ7nPI5qy3sBxbyMye5d+fnMHtLMN662K3KTZCVP9p4V5+yiQrpq15KVtQA0rdgr3y2mnZ9J0v4JALjUeAKv1vOlEq0QokzSe9TDo/EUAu4Ox6vNrzgF9gIUTDF/krRnFFF/hJB04AnMSUcLfA5vlwo8fdc8hjR9HZ3GwKGIdbyzuhdHr/x5w/3tCctQtJU8sYYnEf/w9dOaO91VnVp1/DGbbcz/aR8m0/XJiP8Dn6Bx9iDr4j6S/vw233HfVbEWoR5+JJsyWXR2f76PL48kWcmDiga9xYY+1T5FTlvFm7i0y1yKP4KiaGgU0iNf7aWd+4bk/Y8B4FrzGTwaT5OBtEKIMk/RGHCuOBifjqsI6HsBt3pvo3WpimpOIv3cN8Sub0zcn13IuPQzqjX/vQwaRUOPOuN4uefvVPCoSXJmDF9uGcUv+ybfsFy/NtgDn1lD7YNuwxJIeORXbPHp/7SnURg6vAnu7k5ERaWyfOmx69rQeQbie++7AMT+9jqW5BuX7L9ZzNd6V2ad2CHTmG+DvFvmQVUUPDLtg2sVDyc0bk4cjtgAQHW/FngY/W67rYzwhSQfeAIA15rP4d5oiixAKIQod7QulXCv9zr+fc7g03EtxpB7QdFiit1K4u4RRK+qQvKRV7GkXcx325W86/Fqrz/oUtNeUXzT6Vl8uK4/lxNOXB9HsAc+sx5AE+iG5Vwc8f9ZS8jN3YmhI5qiKLB75yUO3qD+ilfXCThVboItPZG4JW/kO94hNZrhpnfiXFIM26/mPUBY2EmykgcVBffsmUDaCvYKsscjtwLQMLjrbbeTFbWexN2jAXCp/jjujT6RREUIUa4piganwO54t11EQN+LuNWbjMY5BFtWDGmnPiZmdQ3it/W3F5xTb39MiEFnZFiLd3iy82w8jP5cSTrNh+sGsOHk99jU3IXcdJW88PnxATS+LlhOxZAw/jdsKf/07NSs5UfX7jUBWPzLYeL+s86QotXh/+A0AJK2fE9m2MF83QM3vRODqzcDkIG2t0GSlTyoaHJ6VrTBnlhtZk5H7QSgXlCH22rDnLCfhL+HZA+mvQ+PJtMkURFCiH/ROgfjXu8NAvqcx7vtbxgCugMqWZGrSNg+gJjVNUk9+RHWzOjbbrNB8F280WcNjUK6Y7GZWHTgXb748yGSMnK3oQv1wfvH+3MWP0yY8Bu2tH+q43bvVZPQaj5kZVmYP2f/desHudTuiHur+0FViZn/TL4f54yq2waAdeHHuZJWdMsXlAWSrORJweNaz0qwBxfiDpJpScXNyYeK3vVvebQ1M4r4HYNQLakYArrh1fInGaMihBB5UDQ6jCGD8O20Fv9eJ3Gt+SyK3htrehgpR18jelUVEvc8jDnh9tbm8TD68VjH7xne4n30WiMnIrfy7uo+HL/6V6799DX98fn+PhQPJ8wHrpD4+BLUa7/7tRqGjWyKi4uey+FJrP7j+kdKfg98gmJwJuP0VlL3LMrXNdfyCqRtUDVsqsr8U7Ia883Iu2ce1H8nKxXcc37A6wZ2QHOLpEO1mUj4+z5sGZfRutfGu+0imfUjhBC3SedeE4/GUwi8OxzPFj+i924FNhMZYXOI3diCuD/vIiNiyS0fESmKQueaI3it1x+EeNYhJSuWz/8cydKDH2P913pG+nqBeH97H4qrAdPucBKeWoZqshey8/Jy5v5hTQDYuuUCx49F5TqH3rcSPv1eAiBm4YvYstLJj1F12wKw4PRuTLIac54kWcmDigb3fz0GOhVtfwRUJ6j9LY9NPvgs5rjtKHpPfNotRaP3LNJYhRCiLFK0zrhUHYVft7/xvWsHxkpDQdFhiv2LxL/vsz8iOvUZNlPCTdup4FmTl3v+TqcaIwBYc2I6n218gLi0yzn7GBpVwHvGYBRnPabtF0l8djlq9rTleg0C6dApFIBfFxwkKTF3jRjv3s+j862MJT6chNVT8nWNvSrXI9DFg5iMVFaHXT/zSNhJsnITbtnrQ9gCnQiLty/pXcO/5U2PyYhYQvr5GYCCV6t56NxrF3WYQghR5hl8W+Pdej4Bfc/jWucVFIOv/RHRkRftCynufxxLct6LGxp0Rh5s+T6Ptp+OUe/Oudh9vLe6Dweza2cBGJpXxOvrQeCkI2vzOZJeWYVqtY9T6du/DiEVPUlPN/PLgkPYbP+MT9E4ueD/wCcAxK/6BHPcpdu+Lr1Gy4O1WgEw56QMtM2LJCs34ZKdrFx1uozZmoWrwYtA92p57m9NDydp76MAuNaaJGv9CCFEIdM6h+DR4D0C+4Xh2fxbdJ4NUa3ppJ+fQcy6+sRv7UtW1IY8B7s2r9yPN3qvoqpvE9LNyXyz9VEW7nsLc3aNF6c2VfD+4h7QachcfZLk9+xt6XRaho1sit6g5eyZWLZuOZ+rXbeWQ3Cu3RnVlEHMLy/m65qG126FTtGwK+oiJ+ILbwHIskSSlTwogD47c75gPQ5ANb9mec7mUVUribtHoZoT0Hu3wL3BO8UVqhBClDuK1hmX0DH4dT+AT6cNOFXoDyhkRa0lfmsvYje2JOPSghsuoujnVpkXui2iRx37H5ebT8/m4/WDiEq5AIBTx1A8P+4HCmT8cojUz+0rJAcEuNF/YD0A1qw8xZWIf2bwKIpCwINTQdGQunsR6af+4nYFuXjQu4p94ob0rtyYJCt5ULKzcsVFz/lk+yOgan7N89w//dw3mGK3oGhd7WX0NYZiiVMIIcozRVFwCrgLn/bL8O99CpcaT6BoXbAkHiBx90hi1tQk7czn2Cy5y+rrtAaGNH2NJzrPwtXgTXjCMd5f0489YSsAcO5TB4+3egKQ9u1O0n7cDUDrtpWp3yAQq9XGgrkHcpXjd6rcGM8u4wCImfdMvtYNeqiOfRrz4nMHSDZdX3m3vJNkJQ9Kdg+ixteV87H2tRuq+zW74b7W9HBSjr4GgHujj2UFZSGEcACdW3U8m3yeXWjubTRO/ljTL5F86DmiV1Yh+chrWDNzP2ZpGNyVN/qsoVZAG7IsaXy/4wkW7nsLi9WEy/2NcXuuEwApU7aQvvgwiqIw5IHGuLs7ER2VyqoVx3O153fvO2hcvMgKP0TSXz/eduxtg6pRyyuAdIuJ387uu/ObUcZIspIHTXbPSmYFSEi3l1qu7NPwuv1UVSXpwJOollT0vu1wqTa+WOMUQgiRm8bJF/d6rxPQ9wIezaajdauJak4k7dRHRK8KJXHvuFyDcb1dgnjmrvn0rvc4YH8sNGXj/cSnXcFtbGtcx9gHwCa/tY7MtadwdTPwwPAmAOzYFsaJf01n1rr74TvwTQDilryFLeP6lZtvRFEUHqpjn8Y8/9RuWS/oPyRZycO1npWoiokA+LlWwlnvft1+WVdXkHV1BSh6PJvNkMJvQghRQihaZ1yrjce/1zG82/6G3qetvV7LxR+JWdeAhL+HYE6w95xrNToGNX6Rxzv9iIvegwtxB3hvTV+OX/0Lt+c64TykEdhUEl/4g6wdF6lVxz9nOvOihYdI+Vepfq9uE9EH1sCaHEV8PqYy31u9KUatnlOJUeyLvv0ZReWBvLPmQYM9W4n0t6+mGeJV97p9VJuZ5CMvA+Ba61n0nreubCuEEKJ4KYoWY8gg/Lpuw7fLVpyCBwAqmRFLid3YkvitfTHF2gfRNgrpxmu9V1LZuwFppgS++PMh/jj6OW5vdMXYqzZYbCQ+uQzTwQj63F2HoArupKaaWPTzoZzeEEVnwO++DwFIWPMZ5vjLeYWWi4fByIDQRoC9SJz4hyQrebjWs3LV3f4IqKL39clK+oXvsaacQuPkj1udV4ozPCGEEAVg8GuHT7ul+PU4jLHycEBDVtRa4v7sTNyfd5EVuQ5f10q82GMxHasPR0Xlj6NT+WrbI2jfaYOhfVXUDDMJExbDxQSGjWiKTqfh5Ilo/t4elnMet+aDcK7VAdWUQdzi21+V+cHa9kdOyy8cJikr4xZ7lx+SrOQlO1mJdLJnxBX/07NiM6eQevxtANzqvYVG71Gs4QkhhCg4vWd9vFvNxb/3SZxDx4KixxT7F/Hb+hC3qQ3WyDU82PJ9Rrf5H3qtkeORf/H+poEkvFUFfZNg1OQsEsb/RoACffvb3x/+WH6c6Gj7rCNFUfAb+ikAyTvmkhl2e2saNfOvTG2vQDKtZpadP1gk114aSbKSBwUVGypRmggAQjxzV6JNP/cNtqwYtG41cQkd64gQhRBC3CGdW3W8ms8koM9ZXGo8BVpnzAl7Sfh7MLHrm9BEm8Ur3RcT4B5KQvoVPts+nEMvpaOp5o0tMoWE8Ytp2yiImrX8sJht/DL/INbsqrfO1Vrh3maofVXmhS/e1qBZRVEYnt27Mv+0DLS9RpKVPCgqpLinYcaERtHi51Yp5zXVkk7amf8B4Fb3VRSN3lFhCiGEKARal4p4NplKQJ/zuNZ+GUXngSX5GIm7R6LfPYRJ9UbQrGJvrDYzvxx/jz+ePYi1ghOWs7EkPrmMIffWx2jUEX4pkT83nctp12/w+yg6JzJObCLt0MrbiuXe6k1x0uo4Hn+VQ7G3N96lrJNkJQ+KCvE+iYB9JpD2XwlJ+oUf7L0qrqE4VxrmoAiFEEIUNq0xAI+G7xPQ9wJu9d+1r0GUeob0/eMZlLaVMaE90SoadkWvYNZTq0gOysK87zJ8sJGB99ir225Yezqnuq3evypePZ8CIPaXl1BvY2VlbycX+lW1l8pYcHpPEV1p6SLJSh4UVOKyk5UA96o521XVStqZqQC41n5BelWEEKIM0hi8cK/7KgF9zuHe4H0Ugw/W1FNUuvwjr7orNNMrXE4/zszxi7hQ/SpZ689QY90pGjQIxGpVWTj/IBaLvYKtz92voHHzxXT1JElbvrut8w+vZV80d9n5g6Sas26xd9knyUoe7D0r9sw4wD00Z3vW1VVY08NQDD64VBnlqPCEEEIUA43eHbc6LxPQ5xxu9d9B0XuhzQhjAOE8ZUiksnqFOcOXsLPVIdJ/PsDd6Vm4uhmIvJrC+jWnAdC6eOJ7z1sAxC19G2t60s1OCUDrwFCqe/qTbjHx+/lDRXqNpYEkK3lQgLicZKVqzvb08zMAcKn6MIrW6IDIhBBCFDeN3gP3uq8R0Pc8bvUmo+g98VbTuF8Xz3hdJBd7r2XpgPWkfbeV4f4uAPy56RwXL8QD4NXlUfRBtbGmxJCw+rNbnk9RlJzeFam5UkKTFZvNxhdffEHHjh1p0qQJ48aNIzw8PM/9zWYzn332Wc7+I0aM4MSJE3ccR6JXMmBfoRPAknqerMi1ALhUe/SO2xdCCFG6aPSeuNd7g4A+53Gr+yaKzoNAxcwDunjaNN/KuvGzsP6yju5eTqgq/LLgIKYsC4pOj9+Q9wBIWDsVS2LkLc4E99VojkGj5VDsZY7FXSnqSyvRSmSyMn36dBYsWMC7777LwoULsdlsjB07FpPJdMP9J0+ezJIlS/jggw9YvHgxPj4+jBs3jpSU21uTIS/J7vb58j4uwQBkXJwNqBgCe8hihUIIUY5pDF6413/L3tNS5zVUrQsVFDN9A8+R/ORn+IX/QHWrlbjYdFb9Yf/j2a35IIzVWqOa0olb/t4tz+FjdKVXZXtl9F/O7C3S6ynpSlyyYjKZ+PHHH3nqqafo0qULderUYerUqURGRrJu3brr9g8PD2fx4sW8//77dOzYkerVq/Pee+9hMBg4evRogeNQUUl3tS/T7eUchKqqZIQvBJCxKkIIIQDQGLxxb/AOQX0voAkdhwUNlXSZVOi9iI51n6KK9gw7toVx5lSMvVDcfR8AkLTlO0xRZ2/Z/v01mwOw9PxBTLcxk6isKnHJysmTJ0lLS6Nt27Y52zw8PKhXrx579lw/hWv79u24u7vTqVOnXPtv2rQpVxv5pWrshXj0WiMuBk/MCfuwpp0DrTNOwf0L3K4QQoiyR+PkR2DzGfj1PM4lY11sKnj7X2ZQ60n0rTGF1YvXkJlpxqVuF1wa9gKrhbglb96y3U7BNQl08SAhK50N4SdvuX9ZpXN0AP8VGWl/jlehQoVc2wMCAnJe+7cLFy5QqVIl1q1bx7fffktUVBT16tXj5Zdfpnr16nmep1u3bnm+dvXqVXw0BgC8nYNQFIXM7F4VY4X+aHRu+b4uIYQQZZ+zR01a9TvCpu2vokZ8SX1tBrUDt1LDfwfHV6yi8d3/w2/IB1w6spaUXb/g3WcSxqrN8mxPq9EwuHpTph/ZwqKz++hbtUExXk3JUeJ6VjIy7As3GQyGXNudnJzIyrp+rnlqaiphYWFMnz6d5557jm+++QadTsfw4cOJi4srcBy27J4VLxf7I6DMiCUAOFe6v8BtCiGEKPsURaFbhw/xrvIjP2YEc9bmhFZjpYLyK1GramJOXYp72yEAxP726i3bu7+G/VHQpsuniMm4s7GYpVWJ61kxGu3TgU0mU87XAFlZWTg7O1+3v06nIzU1lalTp+b0pEydOpXOnTuzdOlSxo698bo9GzduzDOGbt26kRYTDdjHq1hSTmJNDwONE4bAngW+NiGEEOVH8zb3453mzczTz+LlHUN3JYWK2gxST7yHEuSHvqqG9GPrST++CZd6XfNsp4ZXAM38K7M/5hJLzx3k0QYdi/EqSoYS17Ny7fFPdHR0ru3R0dEEBgZet39QUBA6nS7XIx+j0UilSpW4fLngaypcG7PiYfQjK3I1AAb/Tmh0rgVuUwghRPlSrVsPnvP6CltYKN/b/PjF7EuK6oNqjsXYwIZLJ4hd/Rg2m+2m7VzrXfnlzN5yubhhiUtW6tSpg5ubG7t27crZlpyczPHjx2nZsuV1+7ds2RKLxcKRI0dytmVmZhIeHk6VKlUKHIdNsf8wuDp5kxW5BgBjUJ8CtyeEEKJ8ChzWhce079L0YD1O4Mw0izOHnDuh6L3RuoO+yhliVzXFnLA/zzb6hzbCSavjVGIUR+IiijH6kqHEJSsGg4ERI0YwZcoUNm7cyMmTJ3n22WcJCgqiZ8+eWK1WYmJiyMy0Tytu0aIF7dq146WXXmLv3r2cPXuWF198Ea1Wy8CBAwsch5qdrLjrXTHFbgXAKbDXnV+gEEKIcsfrue7cnzWBnuvbY1UVliafZ6FzB6y0QrWCNfMosRtbkrh7FNb064ugejo50zu75sqvZ/cVd/gOV+KSFYCnnnqKIUOG8PrrrzNs2DC0Wi0//PADer2eq1ev0qFDB1atWpWz/5dffkmrVq144oknGDJkCKmpqcyZMwcfH58Cx3AtWfEyx4LNhMYpAK177Tu+NiGEEOWPolHw/qgfndL68ODCuzFkGTgRd4Bv9BquHvbBnN1ZknFpHtFr6pB85DVs5uRcbdyXXXNl2flDZJWzmiuKWh4fft1Ct27dSEiOoOVzGbxc826MF2dgDBmEd9vfHB2aEEKIUswal0bkkDnEWS8xZ/hKUjyTcFac6L8rnGoevrh3qYE5zt6br3EKxL3h+zhXGYWiaLDabLRe9BGR6cnMuOtB7q7a0MFXc2PXSoPcbCJLfpXInpWS4NqYFadUexEevW97R4YjhBCiDND6uhL4w/14pwQw8fsh+MdUJEPN4rcW/hwyJaFVh+Ldbilat5rYsqJI2juWuE1tMcX9jVajYUgNe02WRWfK16MgSVbyYH8MpKIk2ZfmNvi2c2xAQgghygRdNV88Pr0b5wxnxn9/N9USmmHTKKxu5MOK/R+i9+2Bf8/DuDf6FEXnjjlhL3GbO5CweyT3hQQBsCXiNHGZqQ6+kuIjyUqeVDyxgjkBFB16ryaODkgIIUQZ4dm9JmkPtUBv0THiq7Z0UAYDsD0Evlt5LxZVxa3Wc/j3PoVz1UcAhcxLC3D9uyOveB1Dq2ax4sKRm5+kDJFk5SYCsQ9g0nnURdE6OTgaIYQQZUn1FzpzqXEwWhS6fBjCIGtvFJvKgazjfL5pOGlZiWiNgXi1+A6/brvQ+7ZDtaZzr3UVv7jO4sLpWeWm5ookKzcRrFoB0HmWzEFMQgghSi+NRkPNLwYS7ueK3myj/oyG3HfCGYPZxpnYvXy8fhDRKRcB0Hs3x7fLX3i1mgfGYEI0SUww/0DEps6Yk4879kKKgSQrNxGk2HtW9J6NHRyJEEKIssjb3w3LK91IcDGgj8+g3oGJDNsZh0emjaiU83y07h7OxuwB7GsOOVceRmDvk6w33E2mqkObsJ3Y9U1JPvwSNkvZHcMiycpN+GlMAOg86js4EiGEEGVV61612NmvHpk6DcoFM5XPjmD4jkhCNP6kmRKYuulB9l1ambO/RueKa/3J3J/2CHuoB6qFtNNTiFlbn4zLi8vkoyFJVm7C61qy4l7TwZEIIYQoqzQahd7jW7OyaUVsCugu18Q7rCNDtl6gcdBdWGxZfLf9cTadmpVzTO/K9UjU+vFYSj8ym8xB61IVW8ZlEnfeT8K2vlhSzjjwigqfJCt50AA6RQVFi9al4GsMCSGEELdSIdiDavc1YnMd+4K9Tpd7YwwPZkhCFbrUfAgVlV/2T2bxgQ+wqTZc9U681qIvvSrXw6/yYPx7HcWt7uugMZAVtY6Y9Y1IOTYZ1Zrh4CsrHJKs5EGj2D9rXSqjaPSODUYIIUSZ171nLS43q8jBSt4oKDife4DUZT9zX93nGdT4JQDWnZzJrL+fwWI1MbpuW37o9hDuBiOK1hn3+m/j3+MwhsAeYDOReuJdYtY1JPPqylucueSTZCUPGuzP/LSu1RwciRBCiPJAb9By75CGbK4TyCUfFxSbE05HBpG4Yjq96z3G6Db/Q6Po2B32O19uGU2GOeW6NnTuNfHpsBqvNr+gcQ7BmnaBhO0DiN8xCGv6JQdcVeGQZCUP15IVnSQrQgghiknN2v40bVWRPxqHkOqiQ5vlR+ZX4VhTk2gbOpgnOv+Ik86Fk1HbmbLhfhLTo65rQ1EUnCsOwb/nMVxrPQ+Kjqwry4lZ15C0M1+iZpflKE0kWcnDtRujcQ52aBxCCCHKl7sH1kPj7czSxpWwamzo4qsR99K3ANSv0Jnnu/2Ku5MflxOP88mGe4lMPnvDdjR6dzwafYJf9332gnKWVJIPPUPcpg6YEw8X5yXdMUlW8pCTrBgDHRqHEEKI8sXNzYm7B9QjxsPI+kYVAbBthvTl9rXqqvg05KWeSwlwDyUu7TKfrB/MuZi9eban92yAb5cteDT9GkXngTlhN7EbW5J85NVSMwBXkpU8KNfGrBiDHByJEEKI8qZZi4pUDfXheKAnp0PtBUqT31iH+WQ0AP5ulXmx+2Kq+jYhzZTI1M3DOXh5bZ7tKYoG1+oT8O91DGPIIHttllMfE7OuMVlRG4rlmu6EopbF6jF3qGHDhlgtWQR4WtA4B6NoZF0gIYQQxctqtZGUlAkquGdloLHpQKugDXTPmbKqopKSGYvJkgGKgpvBG6Pe7ZZtq9Z0bFmxkD1+RdG5oTH4gnLnfRhXr15Fq9Vy5EjhLbSoK7SWyhCz2YyqKmhdQx0dSrlx9epVACpUqODgSMoPuefFT+558SvN91yr1eDj45L9ncsN91FQ8DD657ttReuC1qXyHUSXN6vVis1mK9Q2JVm5gZCQEAA2btzo4EjKj27dugFyz4uT3PPiJ/e8+Mk9L37X7nlhkjErQgghhCjRJFkRQgghRIkmyYoQQgghSjRJVoQQQghRokmyIoQQQogSTZIVIYQQQpRoUhROCCGEECWa9KwIIYQQokSTZEUIIYQQJZokK0IIIYQo0SRZEUIIIUSJJsmKEEIIIUq0cpms2Gw2vvjiCzp27EiTJk0YN24c4eHhee6fkJDA888/T8uWLWnVqhVvv/02GRkZxRhx6Zffe37mzBkeffRRWrduTdu2bXnqqae4cuVKMUZc+uX3nv/b8uXLqV27NpcvXy7iKMuW/N5zs9nMZ599lrP/iBEjOHHiRDFGXPrl957HxcXx/PPP06ZNG1q3bs2zzz5LVFRUMUZctsycOZORI0fedJ/CeA8tl8nK9OnTWbBgAe+++y4LFy7EZrMxduxYTCbTDfd/6qmnCAsLY/bs2Xz++eds2bKFyZMnF2/QpVx+7nlCQgIPP/wwRqORuXPn8t133xEfH8/YsWPJyspyQPSlU35/zq+JiIjgnXfeKaYoy5b83vPJkyezZMkSPvjgAxYvXoyPjw/jxo0jJSWlmCMvvfJ7z5955hmuXLnCrFmzmDVrFleuXOHxxx8v5qjLhvnz5zNt2rRb7lco76FqOZOVlaU2bdpUnT9/fs62pKQktVGjRuqKFSuu23///v1qrVq11LNnz+Zs27p1q1q7dm01MjKyWGIu7fJ7z3/99Ve1adOmakZGRs62K1euqLVq1VJ37NhRLDGXdvm959dYrVZ12LBh6kMPPaTWqlVLDQ8PL45wy4T83vNLly6ptWvXVjdv3pxr/7vuukt+zm9Tfu95UlKSWqtWLXXjxo052zZs2KDWqlVLTUhIKI6Qy4TIyEh1/PjxapMmTdTevXurI0aMyHPfwnoPLXc9KydPniQtLY22bdvmbPPw8KBevXrs2bPnuv337t2Lv78/1atXz9nWqlUrFEVh3759xRJzaZffe962bVumT5+O0WjM2abR2H9Uk5OTiz7gMiC/9/yaGTNmYDabGT9+fHGEWabk955v374dd3d3OnXqlGv/TZs25WpD5C2/99xoNOLq6sqyZctITU0lNTWV33//ndDQUDw8PIoz9FLt2LFj6PV6li9fTuPGjW+6b2G9h+oKHG0pFRkZCUCFChVybQ8ICMh57d+ioqKu29dgMODl5cXVq1eLLtAyJL/3vGLFilSsWDHXtm+//Raj0UjLli2LLtAyJL/3HODw4cP8+OOP/Pbbb/IMvwDye88vXLhApUqVWLduHd9++y1RUVHUq1ePl19+OdcvdpG3/N5zg8HARx99xJtvvkmLFi1QFIWAgADmzZuX8weRuLWuXbvStWvX29q3sN5Dy92/zrVBPQaDIdd2JyenG46HyMjIuG7fm+0vrpffe/5fc+fOZd68eUyaNAkfH58iibGsye89T09PZ9KkSUyaNImqVasWR4hlTn7veWpqKmFhYUyfPp3nnnuOb775Bp1Ox/Dhw4mLiyuWmEu7/N5zVVU5ceIETZs2Zf78+fz0008EBwfz2GOPkZqaWiwxlzeF9R5a7pKVa48W/jv4KisrC2dn5xvuf6OBWllZWbi4uBRNkGVMfu/5NaqqMm3aNN577z0mTpx4yxHn4h/5vefvvfceoaGhDB06tFjiK4vye891Oh2pqalMnTqVDh060KhRI6ZOnQrA0qVLiz7gMiC/93z16tXMmzePTz/9lObNm9OqVStmzJhBREQEv/32W7HEXN4U1ntouUtWrnVHRUdH59oeHR1NYGDgdfsHBQVdt6/JZCIxMZGAgICiC7QMye89B/uUzhdeeIEZM2bwyiuv8MwzzxR1mGVKfu/54sWL2bFjB02bNqVp06aMGzcOgLvvvpsZM2YUfcBlQEF+t+h0ulyPfIxGI5UqVZIp47cpv/d87969hIaG4ubmlrPN09OT0NBQwsLCijbYcqqw3kPLXbJSp04d3Nzc2LVrV8625ORkjh8/fsPxEC1btiQyMjLXD/Lu3bsBaN68edEHXAbk954DvPjii6xZs4bPPvuM0aNHF1OkZUd+7/m6dev4448/WLZsGcuWLeO9994D7GOFpLfl9hTkd4vFYuHIkSM52zIzMwkPD6dKlSrFEnNpl997HhQURFhYWK7HD+np6Vy+fFkefxaRwnoPLXcDbA0GAyNGjGDKlCn4+PgQEhLCp59+SlBQED179sRqtRIfH4+7uztGo5HGjRvTrFkznn32WSZPnkx6ejpvvvkm99xzT569AiK3/N7zJUuWsGrVKl588UVatWpFTExMTlvX9hE3l997/t83x2uDE4ODg/Hy8nLAFZQ++b3nLVq0oF27drz00ku88847eHl58cUXX6DVahk4cKCjL6dUyO89v+eee/jhhx945plnePrppwGYNm0aTk5O3HvvvQ6+mrKhyN5D72CqdallsVjUTz75RG3Tpo3apEkTddy4cTn1JMLDw9VatWqpixcvztk/NjZWffLJJ9UmTZqorVu3Vt966y01MzPTUeGXSvm55w8//LBaq1atG378+99F3Fx+f87/befOnVJnpQDye89TUlLUt956S23durXauHFj9eGHH1bPnDnjqPBLpfze87Nnz6rjx49XW7VqpbZp00Z94okn5Of8Drz00ku56qwU1XuooqqqWnQ5lhBCCCHEnSl3Y1aEEEIIUbpIsiKEEEKIEk2SFSGEEEKUaJKsCCGEEKJEk2RFCCGEECWaJCtCCCGEKNEkWRFCCCFEiSbJihBCCCFKNElWhBBlxpIlS3KtEyOEKBukgq0QotRbsWIFWq2WzMxMgoODOXPmDDVq1KBt27aODk0IUQgkWRFClHpWq5V58+axZMkSjEYjw4YN45577nF0WEKIQiKPgYQQZYKiKDmftVqtg6MRQhQm6VkRQpR6K1asQKPRkJWVRXBwMKdPn6ZmzZryGEiIMkKSFSFEmbFkyRJCQkJo3bq1o0MRQhQiSVaEECXazp07+eSTTzh//jwAXbp04d1338Xd3d3BkQkhiouMWRFClFiLFi3i4Ycfplq1arzwwgt07tyZ1atX88EHHzg6NCFEMZKeFSFEiXTu3DkGDBjAyy+/zMiRI3O2jxgxgsOHD7N//350Op0DIxRCFBfpWRFClEhfffUVtWvXZsSIEbm2t2jRgqysLJKSkhwUmRCiuEmyIoQocSwWC1u2bKFXr145U5KvycjIQFEU3NzcHBSdEKK4SbIihChxjh8/TlpaGnXq1LnutRMnTlCnTh2cnJwcEJkQwhEkWRFClDgnTpwAwMXFJdf26Oho9u/fT/fu3R0RlhDCQSRZEUKUOKdOnQJg9+7dOdssFguTJ0/Gzc2NoUOHOio0IYQDyFB6IUSJc/r0aWrUqMGMGTPIyMjA39+fVatWceTIEb744gv8/PwcHaIQohhJsiKEKHFOnz7N8OHDCQ4OZvr06cTFxVG/fn1++OEHKaEvRDkkyYoQokS5evUqSUlJ1KhRg7vvvpv777/f0SEJIRxMxqwIIUqU06dPA1CjRg0HRyKEKCkkWRFClCinTp1Cq9VSrVo1R4cihCghJFkRQpQop06dolKlShgMBkeHIoQoIWRtICGEEEKUaNKzIoQQQogSTZIVIYQQQpRokqwIIYQQokSTZEUIIYQQJZokK0IIIYQo0SRZEUIIIUSJJsmKEEIIIUo0SVaEEEIIUaJJsiKEEEKIEk2SFSGEEEKUaCU+WZk5cyYjR4687f2XL19O7dq1uXz5chFGJYQQQojiUqKTlfnz5zNt2rTb3j8iIoJ33nmn6AISQgghRLErkclKVFQUEyZMYMqUKVStWvW2jrHZbLzwwgvUr1+/aIMTQgghRLEqkcnKsWPH0Ov1LF++nMaNG9/WMTNmzMBsNjN+/Pgijk4IIYQQxUnn6ABupGvXrnTt2vW29z98+DA//vgjv/32G1FRUbd1TLdu3fJ8LSIiAoPBgL+//23HIIQQQgiIiYnBYDCwd+/eQmuzRPas5Ed6ejqTJk1i0qRJt/3I6FZUVcVisRRKW0IIIUR5YrFYyMrKKtQ2S2TPSn689957hIaGMnTo0Hwdt3Hjxjxfu9brcrN9hBBCCHG9mz25KKhSn6wsXrwYg8FA06ZNAbBarQDcfffdTJgwgQkTJjgyPCGEEELcoVKfrKxbty7X94cOHeKFF17g22+/pVatWg6KSgghhBCFpdQlK1arlfj4eNzd3TEajVSpUiXX65GRkQAEBwfj5eXlgAiFEEIIUZhK3QDbq1ev0qFDB1atWuXoUIQQQghRDBRVVVVHB1HSyABbIYQQomCK4j201PWsCCGEEKJ8kWRFCCGEECWaJCtCCCGEKNEkWRFCCCFEiSbJihBCCCFKNElWhBBCCFGiSbIihBBCiBJNkhUhhBCihJk5cyYjR47MtW3Tpk0MHjyYpk2b0rVrVz7++GMyMzNv2dayZcvo27cvDRs2pF+/fqxevbqowi4ykqwIIYQQJcj8+fOZNm1arm179+7liSeeoEePHixdupS33nqLVatW8fbbb9+0rd9//53XXnuNBx98kJUrV3L33Xfz3HPPceDAgSK8gsInyYoQQghRAkRFRTFhwgSmTJlC1apVc722cOFCWrduzYQJE6hatSqdO3fm2WefZcWKFZhMphu2p6oqn3/+OQ899BAPPvgglStXZuLEibRr147du3cXwxUVnlK3kKEQQghRFh07dgy9Xs/y5cv5+uuviYiIyHntkUceQaPJ3b+g0Wgwm82kpqbi4+NzXXsXLlwgIiKC/v3759r+ww8/FM0FFCFJVoQQQpQ5qqqSYTE75NzOOj2KouT7uK5du9K1a9cbvlavXr1c35vNZmbPnk2DBg1umKiAPVkBSE9PZ8yYMRw/fpyKFSsyceLEPM9TUkmyIoQQokxRVZVBq2awNzrMIedvGVCFJX0nFChhuR0Wi4UXX3yRM2fOMH/+/Dz3S01NBeCll17iiSeeYNKkSaxdu5bHHnuMWbNm0bZt2yKJryhIsiKEEKLMKZo0wfFSU1N55pln2L17N1999RWNGjUC4M0332TFihU5+40fP57KlSsDMGbMGAYNGgRA3bp1OX78uCQrQgghhCMpisKSvhNK3WOgW4mOjmbcuHFERETwww8/0LJly5zXnn76acaMGZPzvaenJ+fOnQOgVq1audqpUaMGf/75Z6HHV5QkWRFCCFHmKIqCi97g6DAKTVJSEqNGjSI1NZX58+dTu3btXK/7+vri6+uba1v9+vVxdXXl0KFDtGjRImf76dOnc3pdSgtJVoQQQogS7sMPPyQ8PJzvv/8eHx8fYmJicl7z8fFBq9Ved4zRaGTs2LF8/fXXBAYG0qhRI1auXMn27duZPXt2MUZ/5yRZEUIIIUowq9XKqlWrMJvNjBo16rrXN27cSMWKFW947GOPPYazszNTp04lKiqK6tWr8+WXX9K6deuiDrtQKaqqqo4OoqTp1q0bYP8BEEIIIcTtK4r3UKlgK4QQQogSTZIVIYQQQpRokqwIIYQQokSTAbZCFICqqmRazaSYsojOSMZZq8fDyRk3vRNGbdHUWBBCiPJKkhVRrlxbLyTFnEmqOYsUUyYp5kxSTFmkmjNJMWeRarJ/TjFl73PDfbOwqrYbnkOjKLjpnXDRGXDTO+Gqd8L1319nf7jpDdn7OeGmt3+46A246a7tY8hpR5IfIUR5JsmKKFNsqo0raUmcS4rhXFIM55NjOZ8US1hKHIlZGTdNMgpCwZ6caBQNZps1OwaVZFMmyabMQjqHgotOj5veCV9nNyq6ehHi5k2IqxcV3bwIdvOioqs3fs6uaBR5siuEKHskWRGlVlxmKgdjLnMo9jInEyI5nxzLheRYsqyWWx6rURTc9U646Y246Z1wNxhx1xtxN9i3ueudcDM4ZW/L3if7a/tr9s//7vWwqTYyLGZSzVmkmbNIM5tItfzr62vbLVmkmk3Z2+0fqeYs0iymf77O/t6mqqio9tcsJqIyUjgef/WG1+Sk1VHBxZOKbt6EuHkS6uFPTU9/anoFUNndB53m+qJRQghRGkiyIkoFs83KoZjL7I+5xMHYcA7GXOZSavwN99VrtFR196Wapx/VPPyp7ulHqIcfvkbXGyYZhUWjaHIe8RSGa+NiUnOSnUyiM1KJSE3gcmoiEWmJOV9HZSSTZbVwMSWOiylx17Vl0GgJ9fCjhlcANTz9qeUVSF2fIKp7+KPVSG+MEKJkk2RFlEg21cbJhEi2XTnHtqtn2RV5gTSL6br9qnv609ivIg18gqnu6U81Tz8quXmXiV4ERVFw1hlw1hnwd775vmablci0JC6nJRKRmsjl1ATOJsVwNjGas0kxZFrNnEqM4lRiVK7jnHV66vsE08A3mIa+ITT0DaamVyD6MnD/hBBlhyQrosTIsJjZfvUsay8dZ0P4CWIyUnO97u3kQqvAqjT1r0Rjv4o08q2Ip9Mt3sXLCb1GSyV3Hyq5+1z3mk21EZGayJns5OVMUjSnE6I4kRBJusXE3ugw9kaH5ezvpNXRxK8iLQKq0jKwCs0DquDt5FKclyOEELlIsiIcKsNiZuPlk/x+/iB/RpzOtaS7i85A68BQOgRXp0OFGtT1CZIBpAWgUTQ5iUzXiv+s1Gq12biQHMvhuAiOxkVwJO4KR+MiSDFnsSvqIruiLsIR+741PP1pHRhK+wrVaVehOn7Obo65GCHKiZkzZ7Jt2zbmzp17w9dff/11duzYwaZNm/Js4/Llyzml7/9LURROnjxZKLEWB0lWRLGzqTb+jrzA4rP7WR12lBRzVs5rFVw86Vm5Hr0q16NNUCgGrfyIFhWtRmMfw+IVwL3VmwL2f5vzSbHsjQ5jT3aPy7mkGPsjpaQY5p/eDUAd7yA6VKhOp5BatAuqhlGnd+SlCFGmzJ8/n2nTptGiRYsbvr5hwwYWLVpESEjITdupUKEC27Zty7Xt0qVLPPzww4wdO7bQ4i0O8k4gik1MRgq/ntnHz6f35BoEGuzqyT3VmnB31YY09A2RmiIOpFH+SWCG1moJQHxmGnujw/g78jzbrpzlREIkJ7M/vj++HRedgU7BNelZuS7dKtXB1yi9LkIURFRUFG+99Ra7du2iatWqN9wnOjqaN954g1atWhEREXHT9rRaLf7+/jnf22w2Jk6cSNOmTXnyyScLM/QiJ8mKKHJnEqOZcfQvlp47gCm7Fomb3omBoY25t3pTWgZWkcc7JZiP0ZWelevRs3I9wD5lfMfV82y9cpaNl08SlZ7MmkvHWHPpGAoKzQMq06NSXXpUrktNzwBJPoVDqKqKakp3yLkVg0uBfu6PHTuGXq9n+fLlfP3119clI6qq8vLLLzNw4EBcXV1ZunRpvtpftGgRp0+fZvny5aXu/6UkK6JIqKrK7qiLfHN0CxvC/3ku2sSvEg/WbsWA0EaFNsVXFC9foxv9QxvRP7QRqqpyNO4K68KPsyH8JEfiInIG7H64bw1V3H0ZGNqIQdWbUtMrwNGhi3JCVVXC3+9E5tkdDjm/sWZ7Kr26Jd8JQdeuXenatWuer8+ePZuYmBhmzJjBzJkz89W2yWTiyy+/ZOjQoXn22pRkkqyIQqWqKhvCT/DF4c0ciAkH7BVYe1auy8QGnWkRWMXBEYrCpCgKDf1CaOgXwvNNe3AlLYmN4SdYd+kEOyLPEZYSxxeHN/PF4c009A1hULUmDKzWmEAXD0eHLsq6UtZzcCsnT57kq6++Yv78+RgMhnwfv2rVKpKSkkrdWJVrJFkRhWZ31EU+3LuaPdnTYJ20OoZUb8ajDTpS3dP/FkeLsiDY1ZORddowsk4b0sxZbAw/ydLzB9l8+RRH4iI4EhfBe3tX0b5CdQZVa0K/qg2lh00UOkVRqPTqllL3GCgvWVlZTJo0iYkTJ1KnTp0b7vPf3pb+/fvzzjvv5Hy/dOlSunXrRkBA6ezhlGRF3LET8ZF8vH9NzuMeo1bPI/XaMa5+B/yd3R0cnXAUV70TA6o1ZkC1xsRnpvHHxSMsOXeAvdFhbL1ylq1XzvLmrhUMrt6UEbXbUNcnyNEhizJEURQUJ1dHh1EoDh06xJkzZ/jqq6/4+uuvATCbzVgsFpo2bcp3333H0KFD6dOnT84xbm7/DHRPTExkz549fPnll8Uee2GRZEUUWEJWOh/tXcOC03tQUdEqGobWbMGzTbsTJN384l98jK48VKcND9VpQ1hKHMvOHeS3cwe4kBzLTyd38tPJnbQIqMKI2q25u2pDmQotxL80atSIdevW5do2d+5c1q1bx9y5cwkMDMRoNOLl5XXD4w8cOICqqrRp06YYoi0akqyIfLOpNhad3c/7e1YTn5UGQL+qDXmxWU953CNuqYq7L0836cZTjbuy4+o55p7axZqwYzkDcyfv/oMHarZgTN12BLt5OTpcIRzOaDRSpUru8X6enp7odLrrtt/I8ePHqVSpEq6upbenSZIVkS8nEyJ5ZcfSnHEptb0C+aDtPbQOCnVwZKK0URSF9sE1aB9cg6j0ZH45s5f5p3YTkZbIzKN/8cOxbQyo1pgJDTpSzyfY0eEKUWrFxMTk2etSWiiqqqqODqKkuVaeeOPGjQ6OpOSw2mx8c/QvPjuwHrPNiovOwHNNujOmfntZ9E4UGqvNxqbLJ/n22Db+jjyfs71TcE0mNOhEx+Aapa4+hBDlTVG8h0rPiril80mxPLv1V/bFXAKge6U6fNDmHumiF4VOq9HQo3I9elSux6HYy8w8+hd/XDzCX1fO8NeVMzTyDeHZJt3oXqmuJC1ClCOSrIg8qarKgtN7mLx7BRkWM256J95u3Z/7azSXNwpR5Br7VWR6l+G8khLP98e38/PpPRyOi+DhjXNomJ209JCkRYhyQR4D3YA8BoI0cxYv71jK0vMHAWgXVI3/dbyPim7ejg1MlFvxmWnMPLqVWSd2kG4xAdDAJ5jnm3aXnhYhSpCieA+VBVnEdU4mRNJvxVcsPX8QraLhlea9Wdh7rCQqwqF8jK680qI3O+97iScadcFVZ+Bo/BUe3jiHwatnsjcqzNEhCiGKiCQrIpeVF4/Q/4+vOZsUQ5CLB4v6PMrjjbrIQoOixPAxuvJyc3vS8ljDzjhpdeyOusg9q75hzMY5nE2MdnSIQohCJu9AArDXTvnfgQ2M3zyfDIuZTsE1WTvwKVoFVnV0aELckLfRlVdb9GHb4BcYVqslGkVh7aXjdF02lVf/XkZCZpqjQxRCFBJJVgQZFjMT//yZ/x3cAMDYeu2Z02M0vka3WxwphONVcPXk0/aD2XDPM/SqXA+bqjLn5E46LvmMuSd3YrXZHB2iEOIOSbJSziVlZTBi3Q+svHgEvUbLlPaDmdy6PzqpnSJKmVpegfzQ7SF+7T2O2l6BJGal88rfy+i74kt2R110dHhCiDsgyUo5FpmezODVM9kVdRF3vRPzez7C0FotHR2WEHekXYXqrB34FO+2HoCnwcix+Kvcu2oGT25ZSGR6sqPDE0IUgCQr5dT5pBgGrfyGkwmRBDi7s7jveNpVqO7osIQoFDqNlofrteOvwZN4sFYrFBSWnj9I58VT+PH4dmyqPBoSojSRZKUcOhZ3hUGrZhCemkBVd1+W9Zsoa6+IMsnX6MbH7e9lZf/Hae5fmTSLiTd3rWDQyhmcToxydHhC5GnmzJmMHDky17Zjx44xcuRImjZtSpcuXZgyZQomk+mm7ZhMJv73v//RtWtXmjVrxoQJEwgLK33T/CVZKWeOx1/hgbXfE5eZRiPfEJb1m0hldx9HhyVEkWrkV5Gl/SbwfpuBuOoM7Iu5RO/fv2DqwQ2YrBZHhydELvPnz2fatGm5tiUkJPDII49QrVo1li1bxrvvvsuSJUuu2++/3nvvPX7++WcmTZrEokWLCAwMZPjw4cTHxxfdBRQBSVbKkRPxkTyw5nsSs9Jp6l+Jhb3H4ecsM35E+aBRNIyq25bNg56jW8U6mGxWPjuwgT7Lv2R/9rpXQjhSVFQUEyZMYMqUKVStWjXXa/v27SMxMZEXXniBKlWq0LFjR/r378/WrVvzbC8pKYlff/2V5557jr59+1K9enXeeust3NzcWLBgQRFfTeGSZKWcOJUQxdC135GQlU5jv4rM6/EIHgajo8MSotgFu3kxu/sovu48DF+jK6cSo7hn5Td8vG+t9LKUIaqqYsqyOOSjoKvYHDt2DL1ez/Lly2ncuHGu13x87D3gP//8M1arlcuXL7Nly5br9vu3sLAwVFWlRYsWOds0Gg116tRh9+7dBYrRUWQhw3LgfFIMD6z5jrjMNBr6hjC/5yN4Ojk7OiwhHEZRFAZWa0zH4BpM3v0HS84d4MvDm9l8+RRfdH6AWl6Bjg5R3AFVVZn+xQ7CLiY45PxVQ72Z+GS7fK9X1bVrV7p27XrD15o1a8bEiRP5/PPPmTp1KlarlTZt2vDmm2/m2V5goP3n+MqVK9SsWTNne0REBJmZmfmKzdGkZ6WMi05P4cF1PxKbmUp9nwos6DUGLycXR4clRIngY3Tli04PMPOuB/FycuFo/BX6LP+SH2TGUKlX1ta1TE1N5fz58zz44IMsWrSIzz//nIsXL/LGG2/keUxgYCBt2rTh008/5fz585jNZubMmcOJEycwm83FGP2dk56VMizFlMlD62cRnppAFXdf5vccg7ckKkJcp1/VhrQIqMLz237jz4jTvLVrBRvCT/BZh/sIdvV0dHginxRFYeKT7TCbrA45v96gLfRVwD/99FOSkpL44osvAKhfvz6enp6MHj2a0aNHs2XLFmbOnJmzf//+/XnnnXf45JNPePnll+nbty9arZZOnToxePBgjh07VqjxFbVSkazMnDmTbdu2MXfu3Dz3OXPmDJ9++imHDh1Co9HQsmVLXn75ZYKDy+eUXJPVwrhN8zgafwU/oxvzez4ig2mFuIlAFw/m9niYOSd38u6eVWy9cpZev3/OtI73061SHUeHJ/JJURQMTqXiLe627Nu3jy5duuTadm28ysWLFxk6dCh9+vTJec3Nzf77PjAwkFmzZpGamorVasXT05Onn36aypUrF1vshaHEPwa60RSu/0pISODhhx/GaDQyd+5cvvvuO+Lj4xk7dixZWVnFE2gJoqoqL2xfzLarZ3HRGfipx2iqevg6OiwhSjxFURhVty1rBz5FQ98QErLSGbVhNu/uWYXZ5pi/0oUAe9Jx6tSpXNuufR8aGoqXlxdVqlTJ+fD19UVVVR599FG2bNmCm5sbnp6epKamsmPHDtq3b++IyyiwEpus3GwK139t2LCB9PR0PvnkE2rVqkWDBg349NNPOXfuHPv37y+egEuQb47+xeJzB9AqGr7tOoLGfhUdHZIQpUp1T3+W9ZvIw3XbATDz6F8MXjWTy6mOGbApxOjRo9m6dSvTpk3j0qVL/P3337zyyit06dKFOnVu3POnKApeXl5MmTKFo0ePcvr0aR577DECAwMZMGBAMV/BnSmxycrNpnD9V9u2bZk+fTpG4z9TcTUa+6UlJ5evtUA2hp/kw71rAHi7dX+6hNRycERClE5OWh3vthnAd11H4Gkwsj/mEr1+/5y1YaXrWb8oGzp27MjMmTPZsWMHAwcO5LXXXqNz585MnTr1pse98cYbNGjQgDFjxjBixAj8/f2ZPXs2BoOhmCIvHIpa0Anhxejll18mIiLipmNW/uvdd9/lt99+Y/PmzTnz0/+tW7dueR579epVKlSowMaNGwsUr6OcSYym/x9fk2rOYkTt1nzY9p5CH+QlRHkUnhLPxD9/5mBsOABPNrqLSU17oNWU2L/3hHCYa++vhfkeWib/p82dO5d58+YxadKkGyYqZVGKKZNHNs4h1ZxF68BQ3mndXxIVIQpJJXcflvQdz9h69uf8Xx7ezEMbZpOQle7gyIQoH8rOUGnsA0s///xzvvnmGyZOnHjdIlD/drOM72a9LiXRtQG1F5JjCXH14tuuD2LQlql/WiEczqDVMbl1fxr7VeKF7YvZEnGafsu/4vtuI2QhUCGKWJnpWTGbzbzwwgvMmDGDV155hWeeecbRIRWb2Sf+5o+LR9BrtHxz13B8jTJFWYiiMqh6E5bfPZHKbj5cSo1nwB/fsOz8QUeHJUSZVmaSlRdffJE1a9bw2WefMXr0aEeHU2wOxoTzzp6VALzWog/N/EvX3HkhSqN6PsGsHPAEnUNqkWk188SWhXy6f51UvRWiiJTKZMVqtRITE5OztsGSJUtYtWoVzz77LK1atSImJibno7Stf5AfqeYsHvvzZ8w2K32q1GdMvdI1b16I0szbyYU53UczsUFnAD4/tInH/1xIhqV0lTEXojQolcnK1atX6dChA6tWrQLgjz/+AOCTTz6hQ4cOuT6u7VMWTd61gkup8VR08+KzDvfJgFohiplWo+G1ln2Y0n4wOkXDiouHuW/1t0Snpzg6NCHKlFIxdbm4FcW0q8K27tJxHtk4BwWFRX3G0SaomqNDEqJc23H1HI9unk9iVjrBrp7M7j6aej4VHB2WEMVOpi4LAGIzUnlx+xIAHm3QURIVIUqAdhWqs7zfY1Tz8ONKWhKDVn7DhvATjg5LiDJBkpVSRlVVXtqxhNjMVOp4B/Fis56ODkkIka2apx/L736M9hWqk2Yx8cjGOcw7tcvRYQlR6kmyUsosPreftZeOo9do+aLT/ThJPRUhShQvJxfm9XyEB2q2wKaqvLxjKf87sAF54i5uJTExkTfffJNOnTrRrFkzhg0bxt69e6/bT1VVxowZc9NaYjcyc+bMGx6zadMmBg8eTNOmTenatSsff/xxiZucIslKKRKfmcbbu+3TlJ9v2l0KUQlRQuk1Wqa0H8zTjbsC8L+DG3h5x1KsNpnaLPL23HPPceDAAf73v/+xePFi6taty5gxYzh//nyu/X766Se2bduWr7bnz5/PtGnTrtu+d+9ennjiCXr06MHSpUt56623WLVqFW+//fadXEqhk2SlFHln90oSstKp6x3E+AadHB2OEOImFEXhhWY9eb/NQBQU5p/ezaOb58nUZnFDYWFhbN++ncmTJ9OiRQtCQ0N54403CAgIYMWKFTn7nTp1iq+//pomTZrcVrtRUVFMmDCBKVOmULVq1eteX7hwIa1bt2bChAlUrVqVzp078+yzz7JixQpMJlMhXd2dk2cIpcTWK2f47dx+FBQ+bn8veo3W0SEJIW7DqLpt8Xd258m/FrL20nGGr/2eH7uPwtvJxdGhlWmqqqJmOCYxVJz1+S4l4e3tzbfffkvDhg3/aUdRUBSF5ORkALKyspg0aRJPPfUUx44dIyIi4pbtHjt2DL1ez/Lly/n666+vO+aRRx5B858FOTUaDWazmdTU1BKzvp4kK6VAhsXMyzuWATCqbhupUitEKdO3agN8jI/wyMY57IkOY8iqmfzcaywBLu6ODq1MUlWV+BELMB+44pDz65uF4DN3WL4SFg8PDzp37pxr29q1awkLC+PVV18F4NNPPyUgIIARI0bwyiuv3Fa7Xbt2pWvXrnm+Xq9evVzfm81mZs+eTYMGDUpMogLyGKhU+PLQJsJS4ghy8eClZr0cHY4QogDaBFVjcZ8JBDq7cyoxisGrZ3IlNdHRYZVdpbxI5v79+3nllVfo2bMnXbp04a+//mLFihV88MEHRVYA1GKx8OKLL3LmzBneeuutIjlHQUnPSgkXlhLHzGNbAXin9QDcDUYHRySEKKi6PkEs7juBoWu/40JyLPeunsHPvcYS6uHn6NDKFEVR8Jk7rFQ9Bvq3DRs2MGnSJJo1a8aUKVOIj4/n1VdfZfLkyQQGBt7wmDfffDPX2Jbx48czYcKE2z5namoqzzzzDLt37+arr76iUaNGBY6/KEiyUsK9t2cVWVYLHYNr0KdKfUeHI4S4Q1U9fFnSZwIPrP2eC8mx9kdCvcdSy+vGb0KiYBRFQXExODqMfJs3bx7vv/8+vXv35uOPP8ZgMLBq1SpiYmJ49dVXcx4JmUwmbDYbTZs2ZeXKlTz99NOMGTMmpx1PT8/bPmd0dDTjxo0jIiKCH374gZYtWxb6dd0pSVZKsO1Xz7E67BgaReGtVnfL2j9ClBHBbl4s7jOeYWu/51RiFENWfcv8no/Q0C/E0aEJB1qwYAHvvvsuI0eO5LXXXsv5nd+jRw+aNWuWa98pU6YQGRnJlClTCAgIQKfT4evrm+9zJiUlMWrUKFJTU5k/fz61a9culGspbJKslFBWm43Ju+xdeiNrt6GOd5CDIxJCFKYAF3d+6/MoI9bP4lDsZR5Y+x0Leo6hiX8lR4cmHODChQt88MEH9OjRg/HjxxMbG5vzmtFopEqVKrn2d3V1veH2/Prwww8JDw/n+++/x8fHh5iYmJzXfHx80GpLxsxTSVZKqJ9P7+FEQiSeBmcmNe3u6HCEEEXA2+jKwl5jGbVhNrujLjJ83Q+SsJRTa9euxWw2s379etavX5/rtUGDBvHRRx8V+jmtViurVq3CbDYzatSo617fuHEjFStWLPTzFoSsunwDjl51Od1sov3iT4jJSOXt1v0ZU6+9Q+IQQhSPNHMWI9fPYnfURTwMRn7uNZbGfiXjTUKI/JJVl8uJH09sJyYjlcpuPoys3drR4Qghipir3ok5PR6mZUAVkk2ZDF/7PYdiLzs6LCFKDElWSpjErHS+ObIFgEnNemCQhQqFKBfc9E7M7fkILQOqkJSdsByWhEUIQJKVEuebI3+RZMqkjncQ91Rr7OhwhBDF6FrC0iI7YRm29nuOYFTrfAAAgR9JREFUxTmmCqsQJYkkKyVIVHoyPxzfDsBLzXqiUeSfR4jyxk3vxNweD+ckLMPX/cDZxGhHhyWEQ8m7YQky/cgWMq1mmvtXpnuluo4ORwjhIO4GI3N6PExD3xDiMtMYuvZ7wlPiHR2WEA4jyUoJEZORwrxTuwD7WBUpACdE+eZhMDK/5yPU8gogMj2ZoWu/JzI92dFhCeEQkqyUEDOPbiXLaqGpfyU6VKjh6HCEECWAj9GVBb3GUsXdh7CUeIav/Z74zDRHhyVEsZNkpQRIyExjzsmdADzTuJv0qgghcgS5ePBzr7EEunhwOjGaEet+JMWU6eiwhChWkqyUAN8f3066xUQDn2C6ViyZ6zIIIRynsrsPC3uNxcfJlcNxEYzeMJsMi8nRYQlRbCRZcbBUcxazTuwA4KnGXaVXRQhxQzW9AljQ6xE8DEZ2RV1k4p8LsNisjg5LiGIhyYqD/XJmL8mmTEI9/OhdpZ6jwxFClGANfEOY3X00TlodG8JP8srfy5AVU0R5IMmKA1ltNn7Mrqsyrn4HqasihLilVoFV+brzMDSKws+n9/C/gxscHZIQRU7eHR1oXfhxwlLi8XJyYUj1Zo4ORwhRSvSuUp/32wwEYOrBjcw7ucvBEQlRtCRZcaDvjm0DYGTt1rjoDQ6ORghRmoys04anG3cF4NWdy1gbdszBEQlRdCRZcZADMeHsjrqIXqNlVN22jg5HCFEKTWrag6E1W2BTVR7b8jN7oi46OiQhioQkKw7yfXavysDQxgS5eDg4GiFEaaQoCh+1G0T3SnXIsloYveEnziXFODosIQqdJCsOEJORwqqwowCMrd/ewdEIIUoznUbLN12G09S/EkmmDB5aP1uq3IoyR5IVB/jlzD7MNitN/SvRwDfE0eEIIUo5Z52BWd1GUcnNm7CUOMZsnEOW1eLosIQoNJKsFDObamPBqd0AjKjd2sHRCCHKCj9nN37qMRoPg5E90WE8v+03qcEiygxJVorZX1fOcik1Hg+DkQGhjRwdjhCiDKnlFcjMux5Ep2hYdv6g1GARZYYkK8XsWj2EwdWb4ayT6cpCiMLVMbgmH7S7B7DXYFl87oBjAxKiEEiyUowi05NZH34CkEdAQoiiM7xWKyY26AzAC9t+Y1fkBQdHJMSdkWSlGP12dh9W9f/t3XV8lXX/x/HXdXrd3cRGM7qRUCxUxESx67a47bj1tvX2Z2GLhY0FitgIiHR3jGbdXaev3x9nTBA2GGw7Z9vn+Xjw2Had61zX5xyR8943nQwKTyAlKMLd5Qgh2rGHB57J2Qk9sTod3LToc7KqSt1dkhAnTcJKK1FVldl7NwBwefIgN1cjhGjvNIqG10dfRq/gaEos1Vy/8FNqbFZ3lyXESZGw0ko2F2Wxt7wQk1bPOQm93F2OEKID8NIZ+HD81YSafNlRkss9y76VGUKiTZKw0kpm73O1qpyV0BM/g8nN1QghOooY30DeGzcVvUbLTwe38uaWxe4uSYgmk7DSCqwOOz/s3wzAxV1kd2UhROsaHJHI00PPB+CFDfP5I2OHmysSomkkrLSCP7N2UWqpIdzLj5FRnd1djhCiA5qaMoSruw1FReXOJV+zuyzf3SUJccIkrLSCQ+scXNgpFZ1G6+ZqhBAd1ZNDzmNIRBJVNgvXL/iUMkuNu0sS4oRIWGlhVTYLC7PSAJjcuZ+bqxFCdGR6jZb3xl1JjE8gByuLuX3xlzicTneXJcRxSVhpYQsyd2Jx2EnyD6VHcJS7yxFCdHAhJl9mjr8aL52ev3L2yJL8ok2QsNLCfjqwFYDzEnujKIqbqxFCCOgZEs0Lwy8C4LXNi1hQt7K2EJ5KwkoLqrJZ+DN7FwATk3q7uRohhPjbhZ1Tubb7MAD+veRr0iuL3VyREA2TsNKC/shwdQF18g+le5B0AQkhPMtjg86lf1g85VYzNy/6nFq7zd0lCXFMElZa0E8HtwBwXlIf6QISQngcg1bHjLFXEmLyYXtJLo+umisr3AqPJGGlhdTYrCzO3g3AuYnSBSSE8EzRPgG8ddoUNIrC13vW8+Wete4uSYijSFhpIUtz9mBx2InzDaJ7UKS7yxFCiAaNjO7CA/0nAPDfVfPYUpTl5oqEOJKElRbyR93o+tPjuksXkBDC493W+zQmxHXH4rBz85+fy4JxwqNIWGkBTtVZvxDcGXHd3VyNEEIcn0bRMH3UpST4hZBVVcZ9y+bI+BXhMSSstIDNRdkU1lbhqzcyNDLJ3eUIIcQJCTB68c6YKeg1Wn7L2M7HO1e6uyQhAAkrLeLQAkunxSRj0OrcXI0QQpy4PqGxPDroHACeXvsz24qz3VyREBJWWsT8uu3Xz4jr5uZKhBCi6a7vPpwz43tgdTr415+zqLJZ3F2S6ODk1/5mll1Vxs7SPDSKwrhYCSvtgWq34rRU47RUo9Z9/fv7qrrva7Dk7sJprsSU0A+N0RvF4H3YVx80hr+/P/QYWr0MwBYeR1EUXhp5Mdt+eJ2DlcU8uOI73hx9ufxdFW4jYaWZHVpev39YPMEmHzdXI1RVxVFZhL0kE3txBraSLBxVxah1IePwAKJaa448Zq7Caa0Gh71J96xc9vGJn6zR/h1eDN4oRm80Bp+6r15Hhpu6x7XegWgDItAFRKELjEIbGIXG5CcfJKJZBRm9eeu0KVz067v8sH8zI6O6MCV5kLvLEh2Ux4eVd999l2XLlvHZZ581eE5paSnPPPMMS5YsQVEUzj33XB544AG8vLxasVKXpTl7ARgd3bXV791ROS3VWHN3Yc3ZiTV/L/aSDOzFmdiKM7CXZKLazM1zI62uLkj4uFpKTL6HtZL44KguQbWa0YXGu8KOtRbVUoPTWlP3c019IMLpqCvegbO2AmorcJxCaYrBG11gXXgJiKz7Php9aAL6sE7ow5LQ+IZIoBFNMjAigQf6T+B/63/jv6vm0S8sjm6ybpRwA48OK1988QWvvvoqAwcObPS8adOmUVtby8cff0xFRQWPPPIINTU1/N///V8rVericDpZJmGlxagOO9acHZgPrseStc0VTnLSsBenH/e52oBIdMFx6EPi0PqFoTH6/h06jHUtGfXf+x72/WHn6AzN91rsVpyWuvByVJip+bulx1pbH3AOBR9ndQn2sjzs5bk4ynJxmitRrTXYCvZhK9jX4D0Vk68ruIQmog/vhCGsM4bobhiiuqENjJIgI47p1t6jWZG3n7+yd3P74i/56bw78NLp3V2W6GA8Mqzk5+fz+OOPs3r1ahITExs9d+PGjaxZs4ZffvmFzp07A/DUU09x4403cs899xAREdEKFbtsLc6m3FqLn95Ialhsq923PVJVFVvhfmp3L8O8fy2WgxuwZG5usJVE6xeKIao7+shk14dxSCy64Hh0IXHogmLR6I2t/Aoap+gMaHUG8Ak85Ws5LdXYy3Kxl+XiKM/FXp7v+rkkC1vRQWyFB3CU5aCaq7BmbsGaueWoa2i8/DFEuYKLIbo7xrjeGOP6SogRaBQNr426lAk/vMausnz+t+5Xnhp6vrvLEh2MR4aV7du3o9frmTdvHm+99RbZ2Q1PnVu3bh1hYWH1QQVg8ODBKIrC+vXrOeecc1qjZACW5bpaVYZHdUan0bbafdsDVVWx5uykZsdCanctpXbPchzleUedp/Hyx5jQH2NcHwwx3TFEdccY3R2tX6gbqvYMGqMPhoguGCK6NHiO02rGXpyOrXA/tkJXgLHm78aak4atYB/O2grM+9dg3r/miOdp/UIxxvXFGNcHY9IAvDoPRReaKAGmgwn18uXlkRdz1R8fMXPnCsbEpjAuNsXdZYkOxCPDyrhx4xg3btwJnZufn09UVNQRxwwGA4GBgeTm5jb4vPHjxzf4WG5u7lHXPBFLsvcAMEq6gE6Io6qE6q2/UbNtPtXbF+IoyznicUVnwJg4EK8uQzEmDsCUOAB9eGcUjcy4byqNwYQhKgVD1NEfME6bBVvBXqw5aVhz07Bmb8eSuQVr7i4clUXU7FhIzY6F9edr/cMxdR6CV+ehmDoPwZQ4EI2XX2u+HOEGY2NTuL77cGbuXMG9y77ljwvuItTL191liQ7CI8NKU9TW1mIwHD2WwGg0YrG03toAtXYr6wpcYydGRzf8G25HZytKp3LtbKo3/UTtnuV/DzQFFL0Jr5RReHcbg1fySIyJA9EYTG6stmPQ6I0YY3pijOl5xHGntdYVXDI2Yc7Y7OqOy9iEo6KA6o0/Ur3xR9eJigZDbC+8Og3GK3kEXt3HoQ+WbtD26D8Dz2Z57j52leVz3/LZfDT+GmllE62izYcVk8mE1Wo96rjFYsHb27vB5y1cuLDBxxprdWnIqrwDWJ0OYnwCSfLvuF0Sx2Ivy6Ny7WwqV3+Nee+KIx4zxPbCp885+PQ6HVOXERJOPIjG4IUpaSCmpIEE1B1zWs1YMjZi3rea2n2rMO9bjb04o34sTPlfHwCgj0zGu8c4vLuPxbv7WLS+Ie57IaLZmHR63jxtChN/epMFmWl8tms1V3cb6u6yRAfQ5sNKZGQkCxYsOOKY1WqlrKyM8PDwVqtjVd4BAEZEdZbfNHAN+qxc8w2VK7+kZuefoDpdDygKXimn4TtwMr59z0UflujWOkXTaAwmvLoMw6vLMILqjtnLcuvDS23aX5gPrMOWt5vyvN2UL5oBioIxPhXv7mPx6XMWXsmjmnVmlWhd3YMjeXjAWTyx5ieeWvMzwyI70TWw9f6tFR1Tmw8rgwYN4qWXXiI9PZ2EhAQA1qxxDRIcMGBAq9WxJt8VVoZ08I0LLZlbKVv8HpUrPnetH1LH1GkIfkMvx2/QxeiCot1YoWhuusAofAdMwnfAJAAc1WXU7l5CzY5F1OxY5OpKSt+IJX0jpb+9gsbLH+9eE/BNPRefPud06MHRbdX1PYbzZ9Yu/srZwx1/fcm8ibdjlH3QRAtqc3+7HA4HJSUl+Pn5YTKZ6Nu3L/379+fuu+/miSeeoKamhscee4xJkya12rTlWruNzUVZAAyOSGyVe3oS1W6jcs3XlC1694huHn14Z/xHXYf/0MvRh3XsENeRaH0C8e13Pr79XNNb7WV51OxcRM32BVRv+RVHRQFVa2dTtXY2KAqmzsPwTZ2I76CLGp3RJDyHRtHwyqhLOH3uq2wvyeXFDfPrNz8UoiW0ubCSm5vL+PHj+d///sfkyZNRFIU333yTJ598kmuuuQaj0chZZ53Fww8/3Go1bSrKxOp0EOHlR6Jfx+mbd9ZWUv7XB5TOfw17SabroFaHb7/zCRh7C97dx8nMHYEuMBL/YVfgP+wKVKcT84G1VG/6mepNP2HJ3Ix57wrMe1dQNPs/GBP64TfoEnwHX4whvPPxLy7cJsLbn5dGXMQNiz5jxrYljItNYXiU/DcTLUNRVVV1dxGe5tAA28YG4R7utU0LeXHjH5yX2Id3xl7RkqV5BHtFIWXzX6Vs4Ts4a8sB1wqxgeNvI2D0DegCZTlucWJsxZlUb/6JqvVzXWObDpsdZkzoj9/gS/AbdoXMLvJgDyz/jlm71xDnG8Qfk+7C18MWYBStr6mfoSeizbWseKI1+QeB9j9exVFdSulvr1D6x+uo5ioA9JEpBJ99L37Dp3rcKrHC8+lD4ggcdyuB427FUVlE5frvqVr7LTU7F2NJ34AlfQNFs/+Dd49x+A+/Ct8BF6IxydoenuSxweeyNGcPmVWlPL3mZ/5vxGR3lyTaIQkrp8judNSvr9Jex6s4LdWU/v4qpb++XN+SYkwcQMj5j+CTep509YhmofULJXDMTQSOuQl7RSFV67+jctXX1O76i5rtC6nZvhDl09vxGzgZ/1HX4ZUyWmbeeQBfvZGXR17Mpb+9zxe713BWQk/Gyuq2oplJWDlFO0pyqbZbCTCY6BbUevsQtQbV6aRy5ecUfvtI/eqyhtjehF74BD79L5APCtFidP5hBI69hcCxt2ArPEjFyi+oWP4Ztvw9VCz/jIrln2GI6kbAmJvxH3EVWt9gd5fcoQ2P6swNPUbw4Y7l3Ld8Dgsn3UWgseF1roRoKvmV+BRtLHQNLO0XFo9GaT9vZ+2eFWQ8PYy896/DUZaDPiyJyH99QcJTG/AdMEmCimg1+rBEQs5/hMTndxL36HICxtyEYvLFmptG4Zf3sP/uOPLev5bavSuRIXju89CAM+nkH0p+TQWPrf7R3eWIdqb9fLq6yaYiV1hJDYtzcyXNw1FVTN7Mm8l8dhSWA+vQmPwIvfR5Ep7dhv/Qy6XLR7iNoih4dRlKxLUz6Dw9i/Br3sYYn4pqM1Ox/DMynxlJ+n/7UbboHZyWaneX2+F46QxMH3UpGkXhu30b+eXgNneXJNoR+eQ5RZsKXeur9Att22FFVVUqln/KwYd7ULHkQwD8R19P4v/tIvic+2UZfOFRNF5+BI69hfgn1xH32Er8R12LYvDCmrWVgk/vYP89CRTNfgR7ac7xLyaazYDweG7rfRoAD6/8nqLaKjdXJNoLCSunoMJqZm95IQB9Q9vu1Ep7WR45r1/o6vKpLMIQ05O4//xF5PXvowtoX+NwRPuiKApenQYTecOHdJqeRdiVr6IP74yzupSSn55n/32dyHv/WiwZm91daodxd+rpdAuKpNhczcMrv5euOdEsJKycgi1FWaioxPkGtdmt0ivXzubgo31cO+hq9YRc9AwJT67DK3mku0sTokm0PoEEnXEnic/vJPrOOa6/ww4bFcs/I/2x/mS9MIHqrb/Lh2cLM2p1vDbqUnSKhl/Tt/PDAQmK4tRJWDkF9eNV2mAXkKO6jNwZU8l96zKcVcUY4/qS8MQaQs57WDaZE22aotHiO2AScf/5i7jHVuI3+FLQaKnZsZDsl88h46mhVG34AdXpdHep7VbPkGj+nToOgMdW/UixWbqDxKmRsHIK/p4J1LbCivngejKeGEjlqi9B0RB83n+If3wVxrg+7i5NiGbl1WkwUbd9SdILewic8G8UgxeWA+vIeX0y6Y8PoHLNN6iHrZorms/tvcfQLSiSEks1j62S2UHi1EhYOUmqqrKpsG3NBFJVlbJFM8h8ZiS2wgPoQhOJe2QpoRc9La0pol3ThyYQfsUrJL20n+CJD6Ex+WHN3ELu21M4+J/eVCz/TEJLMzNodbw88mI0isIPBzYzP2OHu0sSbZiElZOUV1NBfm0lGkWhV3C0u8s5Lqelmrx3r6Lg09tR7VZ8+p3nGpvSZai7SxOi1ej8wwm9+FmSXtpPyKTH0XgHYsvbRd7715L+aCqV676TMS3NqG9oLLf0HA3Awyu+p9xS6+aKRFslYeUk7SjJBaBLQBjees9ulbAVZ5L57GhXt49GS+hlLxA97Xu0PkHuLk0It9D6BhMy6TGSXj5A6MXPovEJwpqzg9w3LyHjySEyELcZ3dPvdJL8Q8mvreTptT+7uxzRRklYOUmHwkoPD29Vqd23mownh2DJ2ITWL4zYBxcSfPa9sgKtEIDWy5/giQ+R9MJegs9/FMXki+XgerJfPoes/42lds8Kd5fY5nnp9Lw04iIAvtqzjqU5e9xckWiLJKycpL/DSpSbK2lYxaqvyPrfWBwV+RhiexP/+Gq8U0a5uywhPI7WJ5DQyU+S9MJegs68G0VnpHb3UjKfHUXOm5diLdjn7hLbtCGRSVzTbRgADyz/jhqb1c0VibZGwspJ2l7iWhnTU8NK6W/TyZtxJardgk/qROIfWYo+NMHdZQnh0XT+YYRNeYnEF3bjP/oGUDRUrZvDwYd7UvjV/TiqS91dYpv18MCziPEJJLOqlP/b8Lu7yxFtjISVk1Bjs3KgohiAHkGeFVZUVaXwm4co/Oo+AAIn/Jvoad+h8fJzc2VCtB364Fgir3+PhKc24N3rDHDYKP3tFQ48kEzpH2+g2m3uLrHN8dUb+b8RkwGYuWMF6wsy3FyRaEskrJyEtLI8VFRCTb6Ee3tOCFAddvJn3kjpLy8CEHrJ/wib8jKKRuvmyoRom4xxvYm97zdi7vkZQ0xPnNUlFH5xFwcf6U3VxnkyCLeJxsQkc3Hn/qioPLjiO2wyXVycIAkrJ8ETx6uoDjt5711NxdKPQdEQcf37BJ/7gAykFaIZ+PQ5i4SnNhB+zdto/cOx5e8h57ULyZl+noxnaaLHBp9LkNGbtNI83t++zN3liDZCwspJ2OlhYUW128idcSWVq78GrZ6oO74hYPT17i5LiHZF0eoIHHsLif+3i6BzHwStnuotv5L+n94Uffc4TkuNu0tsE4JNPvx30DkAvLJxARmVJW6uSLQFJxxWVq1adczvO6KdpXmAZ4SVQ0Glau1s0OqJvuNb/AZc6O6yhGi3tF7+hF3yHInPbMa75+modgsl855xdQ1t+EG6hk7AJV0GMCyyE2aHjf+snCvvmTiuEw4re/fuZd68efz888/s3bu3JWvyaKqqsrusAICUwAj31uJ0kvfhDVStm4OiMxB95xx8+53n1pqE6CgMUSnE3PcbUbd/gy44DnvRQXJen1zXNbTf3eV5NEVReH74hRg0WhZn7+bHA1vcXZLwcCcUVtauXUvXrl2ZNWsWn3/+OcnJyaxdu7ala/NIxeZqyiw1KCh0CghzWx2qqlL45T1UrvwCtDqi7vgW39Rz3VaPEB2Roij4DbqIxP9tJ3jiQ393DT3ah5JfXkJ12N1dosfqHBDGHX3GAvD4mh9lKX7RqBMKK1lZWeTk5GA2mzGbzeTk5JCVldXStXmkPeWuVpU43yC8dHq31VEy7xnK/ngDgMgbZuKbOtFttQjR0WmMPoRe/CyJz2zGq/tYVGstRd88SMZTQzEf3ODu8jzW7X3G0DkgjMLaKv63/jd3lyM82AmFlQsvvBCj0cjkyZOZPHkyBoOBCy/smOMi9pUVAtAl0H2tKmUL3qb4+ycACLvyNfyHX+m2WoQQfzNEpRD7wB9E3PABGp8gLOkbyXhyCIVfPSADcI/BqNXx/HDXZ8nnu1azLj/dzRUJT3XCY1acTidXXXUVV155JU6nsyVr8miHWla6uKkLqGrjjxR8MQ2A4AseI+iMO9xShxDi2BRFIWDUdSQ+tx2/IZeB6qT0t5dJf7QP1dsXuLs8jzMsshOXdR0AIGuviAadcFiZOHEiiqKg0WiYOLHjdjnsrRtc2yUwvNXvbcnYTO6MK0FVCRhzEyGTHmv1GoQQJ0YXEEHUrbOIvmseuuA4bIUHyH7xTPI/uQ2nucrd5XmURweeQ7DRh11l+by7bYm7yxEeqMnrrHTUsSqH7C13dQN1DWjdsGIvyyP71QtQLdV49xhP+NQ3ZME3IdoA39RzSXx2KwHjbwOg/M93Sf9vKjVpf7m5Ms8RZPLhscGutVde3bSI7Koy9xYkPE6Tw8oZZ5zBTz/91BK1eLxqm4Xs6jKgdVtWnNZacl6fjL0kE31kMlG3f43ixsG9Qoim0Xj5EXHVG8Q+MB9dSDy2wgNkPT+Ogi/ulrEsdS7q3J8hEYmYHTaeWPOju8sRHqbJYUVV1Q67gM/+8iIAQkw+BBm9W+2+BZ9Pw7x/NRqfIGLumofWJ6jV7i2EaD7ePcaT8Mxm147OQNkfr5P+WH9q9650c2XupygKzwydhFbR8Gv6dv7M2uXukoQHkeX2m+BgpWun5U7+oa12z/KlH1GxZCYoClG3fYUhsmur3VsI0fy0Xv5EXv8eMff8hDYwGlv+HjKfHU3hNw/htFncXZ5bdQ+O5PoewwH476p5WGSdGlFHwkoTpNeFlQS/kFa5nzl9EwWfumb7hFz4JD49T2+V+wohWp5Pn7NJfHYLfsOnumYM/fIimU8Px5qT5u7S3Oqe1NMJ9/LjYGWxDLYV9U4qrMyZM4ePP/6YFStWUFxc3Nw1eayDFa7XGu8X3OL3ctSUk/vWpag2Mz59ziZ44sMtfk8hROvS+gQRdfMnRN85B41vCJaMTaQ/MZCyP9/tsN3tfgYT/x3kWo379c1/klVV6uaKhCfQncyTVq1axapVq+pnowQHB5OSkkJycjIpKSmkpKTQpUsXDAZDsxbrbul1u4Mm+Ldsy4qqqhR8ciu2gn3oQhKIvPlTFI00ggnRXvkOmERip8HkfXAtNdsXUvDJbVRv/Z3I699H69s6LbmeZFKnvnyxezWr8g7wxOqf+GD8Ve4uSbjZSYWVp59+mu7du7Nr1676Pzt37mTFihWAa6CUVqslPj6ebt268corrzRr0e5yqBsosYVbVipXfkHl6q9BoyXqti/R+rZ8S44Qwr10QdHE3Psbpb+/StHs/1C94QcO7l9L1M0f491jvLvLa1WKovDs0ElM+OE1fsvYzqKsXYyLTXF3WcKNTiqsmEwmevXqRa9evY44XlhYyK5du9i9eze7du0iLS2NBQvax4qNFoed3OoKoGW7gWyFByn47E4AQi54DK/OQ1rsXkIIz6JoNASffQ/ePcaSN2Mq1tw0sl48k6Cz7iX0oqdRdO2rtboxKUER3NhjBO9uX8p/V81j+KS7MMmSDR3WSYWVhoSFhREWFsbIkSPrjzkc7WPp5KyqUlRUvHUGQk2+LXIP1ekg7/1rcNZWYOoy3LWLqxCiwzEl9CP+ibUUfnkv5Yvfo/TXl6jdtZSo279CHxLv7vJazd39Tmfu/k2kVxYzY9sS7krtWC1M4m8tPhBCq9W29C1axaHBtQl+wS22cmzZ/Nep3b0MjcmPyJs/QdE2a5YUQrQhGqM3Ede+Q9Sds9F4B2Lev5r0xwZQtelnd5fWanz1Rv472DXY9s0ti2Vl2w6syWFl8eLFjBgxoiVq8WiHxqu0VBeQNX8vRd/9F4DQy1/EEN6pRe4jhGhb/AZcSMKT6zAmDcRZXULOq+dT+M1DqHabu0trFRck9WVIRBJmh43n1v3q7nKEmzQ5rERGRhIc3PEGfGbUzQRKbIE1VlRVJf+jW1CttXh1H0fAaTc2+z2EEG2XPiyJuP8sIfB017pLpb+8SNYLp2MrzXZzZS1PURSeHDIRBYUfDmxmTf5Bd5ck3EDmw56gzLq5/nEt0LJS/tcH1KYtRjF4EXHdu7JBoRDiKBq9kfCprxF1+9dovPyp3b2MjMf6U731d3eX1uJ6hcQwJXkQAI+v/hGn6nRzRaK1SVg5QbnV5QBE+wQ063XtFQUUfeMaSBt60TPS/SOEaJTfoIuJf2ItxvhUHJVFZL9yLkVzHkN1to/JDA15oP8E/PRGthZn882e9e4uR7QyCSsnKKeFwkrR7Edw1pRhTOhH4Bl3Nuu1hRDtkyGiC3GPLidg7C2gqpT8+CzZr0zEUVXi7tJaTKiXL3enurYceX7971RazW6uSLQmCSsnwOKwU2SuAiDaJ7DZrlu7f41rk0IgfOrrKJr2MXNKCNHyNAYTEde8TeQtn6EYvKjZNp+MJwdjydjs7tJazLXdh9HJP5QicxWvbV7k7nJEK5KwcgIOdQEZtTqCjN7Nck3V6axf/M1/xNV4dR3eLNcVQnQs/sOuIP7R5ejDkrAVHiDjmRFUrPrS3WW1CINWx+ODJwLw4Y7l7C8vcnNForVIWDkBOdVlgKtVpbkGv1YsnYnlwDo0Xv6EXvK/ZrmmEKJjMsb3Jf7xNXj3OgPVWkvejKkUfnkfqsPu7tKa3fi4boyJScbmdPD02o6z5kxHJ2HlBOTWuJbZb67xKs7aSormuNZUCZn0BLrAyGa5rhCi49L6BhNzz8/1K1+X/j6drJfOxl5R6ObKmt/jgyeiUzT8kbmTv7J3u7sc0QokrJyA3PqWleYJK6W/T8dRUYA+oguB429rlmsKIYSi0RJ68bNE3f4NitGH2p2LyHhyMOaD7Wv2TNfAcK7tPgyAJ9f8hK2dz4QSElZOyN8zgQJP+Vr28nxKfnsZcE1VVmRjLiFEM/MbdBHxj61EH9EVe3EGmc+dRuWab91dVrO6K3U8wUYfdpcV8FnaKneXI1qYhJUTcGjMSlQztKyUzHsW1VyFMWkgvoMuPuXrCSHEsRhjehL/2Cq8+5yFaq0l9+3LKZ77FKqquru0ZhFo9Ob+/mcA8MqmhZRbat1ckWhJElZOQF61a8xKlPephRVrwT7KFr8LQNgl/5OVaoUQLUrrE0jMXfMIOvNuAIrnPknuO1NwWmrcXFnzmJI8iOTAcMosNbyx5U93lyNakISVE1BYWwlAhLffKV2n5IenwWHHu9cEvHuMa47ShBCiUYpGS9iUl4i47j3Q6qla8y2Zz49tF/sK6TRaHhl4DgAzdywns7L9LorX0UlYOQ6n6qTIXA1AqNfJhxVrwX4qVs5yXWfyU81SmxBCnKiA024g9oH5aHxDsBxYR8aTQzDvX+vusk7ZuNgURkZ1wep08PyG9r9PUkclYeU4Si01OFQnCgohJp+Tvk7JT8+D04F3rwmYOg1qxgqFEOLEeKeMJuHx1RhieuIoyyXzf2OoXP21u8s6JYqi8N9B57h2Zd6/mY2Fme4uSbQACSvHUVDjWmY/yOiN/iSXw7cVZ1Cx/FMAQi54tNlqE0KIptKHJRH36DJ8+p6DajOT+84VlPz0f2164G3PkGgu7tIPgGfW/tymX4s4Ngkrx3FovEqYl+9JX6Pk5xfAYcOr+1i8uo5ortKEEOKkaL38if73XALPvAuAotn/oeDjf6Habe4t7BTc3/9MjFodq/MP8nvGDneXI5qZhJXjKKzbwDDsJMer2CsK6jcrDDn/kWarSwghToWi0RI+5WXCrnwNFA3lf31A9qvn46z7Ba2tifYJ4JaeowB4bt2vslBcOyNh5TgKa1z/44aeZMtK+aIZqHYLxqRBeHUb04yVCSHEqQs64w6ip81BMXhTs20+mc+dhq0ky91lnZTb+owh1OTL/ooivti1xt3liGbkkWHF6XTy+uuvM2rUKFJTU7npppvIzGx40FRxcTH33nsvQ4cOZciQIdx9993k5+c3Sy2HWlbCTyKsOK1myha9A0DQmXfJuipCCI/k2+984h7+E61/BJbMzWQ+PRxLxmZ3l9Vkvnoj9/Y7HYBXNi6gwmp2c0WiuXhkWHn77beZNWsWTz/9NF999RVOp5Mbb7wRq9V6zPPvuusucnJy+Oijj/joo4/Iycnh9ttvb5ZaDo1ZOZlpy5WrZuGoKEAXHIffwIuapR4hhGgJpqSBxP93BYbo7thLs8l87jSqt7a9qcBTkgfRJSCMEks1b21Z7O5yRDPxuLBitVqZOXMm06ZNY8yYMXTr1o3p06eTl5fH/Pnzjzq/oqKCNWvWcNNNN9G9e3d69OjBzTffzNatWykrKzvleopqT65lRVVVSn9/FYDA0++QPYCEEB5PH5ZI3CNL8eo2Bqe5kuzp51H+1wfuLqtJdBotjw5yLRT3wY5lZFeVubcg0Sw8LqykpaVRXV3NsGHD6o/5+/vTo0cP1q49egEjk8mEj48Pc+fOpaqqiqqqKn744QeSkpLw9/c/5XoKTrJlpTZtMdbs7ShGHwJOu/GU6xBCiNag9Qki9r5f8Rs+FZwO8j+6heIfnmlT04HHx3ZjaGQSFoedVzYtcHc5ohno3F3AP+Xl5QEQFRV1xPHw8PD6xw5nMBh4/vnneeyxxxg4cCCKohAeHs7nn3+ORtNwFhs/fnyDj+Xm5tbfv6Ru9doQY9MWhCtf/D4A/sOuRNsMuzULIURrUXQGIm/6GH1IAiU/Pkvx949jL88jfOprKCe53lRrUhSFhweczQU/v823e9dzS69RJAdGuLsscQo8rmWltta1c6bBYDjiuNFoxGKxHHW+qqrs3LmTfv368cUXX/DJJ58QHR3NbbfdRlVV1SnVoqoqZXUbfgWZvE/4efaKQqrWfw9AwNibT6kGIYRwB0VRCL3oKcKmvg6KQvmid8h9ewrONjJodUB4PGfF98Spqvzf+rY39kYcyeNaVkwmE+Aau3LoewCLxYKXl9dR5//66698/vnn/Pnnn/j6usaVzJgxg7FjxzJ79myuvfbaY95n4cKFDdZwqNWlxm7FWjdXP8h44mGlYvlnqHYrxqSBmBL6nfDzhBDC0wSdfjs6/zDy3ruGqnVzyK4qJnrad2hPcRf61vDggDOZn7mD3zN2sL4gnQHhCe4uSZwkj2tZOdT9UlBQcMTxgoICIiKObsZbt24dSUlJ9UEFICAggKSkJNLT00+pljJLXSuPRou3znCcs11UVaX8L1cXkIxVEUK0B36DLyXmnp/RmPyoTVtM1vPjsJcd3S3vaboGhnNplwEAPLfutzY17kYcyePCSrdu3fD19WX16tX1xyoqKtixYweDBh29AWBkZCTp6elHdBHV1NSQlZVFYmLiKdVSanGNVwk0ep/wGim1u5Zgy9uNYvLFf8jlp3R/IYTwFN49xhH70CK0/uFYMjaR+exIrPl73V3Wcd2TenrdMvwH+DN7t7vLESfJ48KKwWBg6tSpvPTSSyxcuJC0tDTuvvtuIiMjmTBhAg6Hg8LCQsxmV7/ppEmTANdaK2lpaaSlpXHPPfdgNBqZPHnyKdVyqGWlKV1A5XVL6/sPuRzNSS7RL4QQnsiU2J+4R5ehD+uErfAAmc+MxHxwvbvLalS0byDXdh8OwPPrf8OpOt1ckTgZHhdWAKZNm8bFF1/Mo48+ypQpU9BqtXz44Yfo9Xpyc3MZOXIkv/zyC+CaJTRr1ixUVeWaa67huuuuQ6/XM2vWLPz8Ti0slNYNrg00Hj1W5liclhqqNswFwH/kNad0byGE8ESG8M7EPboMY0I/HJWFZD0/nppdS91dVqPu6DMGf4OJHSW5zN3f9lbmFaCo0ol3lEMDbK9561n+s3IuZ8b34MPxVx/3eRWrviJvxpXow5JIfGGPLK8vhGi3HLUV5Lx2IbVpi1EMXkTfMRufPme5u6wGvbnlT55f/zvxvsEsnnwPBq3HzS9pNw59hjY2kaWpPLJlxVOU1besnFg3UOXKWQD4DZ0iQUUI0a5pvfyJuecnfPqeg2qtJfu1SVSune3ushp0Q48RRHj5kVFVwue7Vh//CcKjSFhpxKFuoBMZs+KoLKJ6m2suv9+wK1q0LiGE8AQagxfRd87Bd/Al4LCR+/YUypd+7O6yjslLZ+DuVNcmh69tXkSV7eh1u4TnkrDSiKa0rFSu/RYcdowJ/TBGd2/p0oQQwiMoOgNR//oC/9HXg+ok/8MbKP3jTXeXdUyXJQ8kyT+UYnM1M3csd3c5ogkkrDTi0GygExlgW7n6G8DVBSSEEB2JotEScd17BJ55FwCFX/yb4nnPedy6JnqNlnv7uVpXZmxbUv8LqfB8ElYaUVG3rHSAofGwYq8opHb3MgD8Bl7U4nUJIYSnURSFsMtfImTS4wAUf/dfir55yOMCy/lJfUgJjKDCaub97cvcXY44QRJWGlFlc4UVX72x0fOqN/0IqhNjQj/0YYmtUJkQQngeRVEImfQYYVNeBqD015co+OQ2VKfnrG2iUTTc1/8MAD7Yvqx+s1rh2SSsNOLQACw/vanx89bPBcC3/6QWrkgIITxf0Jl3EXHdu64NEBe/R/6HN6DW7bPmCc6K70nvkBiq7Vbe3vqXu8sRJ0DCSiMqrXVhxdBwWHHWVlKzfQEAvgMmtUZZQgjh8QJOu5HIWz4HjZaK5Z+S9/61qA67u8sCXC1A9/efAMDHO1eSX1Ph5orE8UhYacShbiC/RrqBqrf+hmq3oI/ogiGmZ2uVJoQQHs9/6OVE3ToLtDoqV84i792rUO02d5cFwNiYZAaExWN22Hhzy2J3lyOOQ8JKA1TAWtds6dtIy0rVpp9c5/S7QBaCE0KIf/AbdDHRt30NWj2Va74hd8YVqHaru8tCURQeqGtd+WLXarKrytxbkGiUhJUGHD6C3UdnOPY5Tic12+a7zul7TqvUJYQQbY3vgElE3zkbRWegat135Lx1GU4PWJRtRHQXhkd2wup08NrmRe4uRzRCNkdogLMurPjoDGg1x850loxNOCoKUEy+eHUd3prliRakqioOh4rD4cRhd2K3O3E4/vlVxW534LCr2A+dd/j5h352qNhsdrIyygkINBEQ4IVWp0GrVdBqFLQ6DRqtpv57rUZBq9XUf6/RatDpNGjqjytoNXXP12rQajVotAq6uq8ajSItfMIj+aZOJHra9+S8PpnqjfPIffNiom7/Fk0jLdet4f7+E7jwlxl8vWcdt/YeTZJ/qFvrEccmYaUBTlxhpbEuoOqtruX1vbuPQ2mg9UW0HpvNQVWVlZpq15/qGpvr+xor1VVWaup/tmGzOerDR30Asav1x9oyV4hR/vHVFWYOHTMYdJhMOoymI7+ajDqMJj1GoxaTSf+Px13HJQyJk+XT5yyi7/qBnNcmUb35F3Jev5Doad+hOc5aVi1pUEQiY2NS+DN7F69uWshroy9zWy2iYRJWGnCoG6ixwbX1XUC9J7RKTR2Z3e6krLSW4uJqykprKS83U1FuprzMXP99TU3LDNxTFNDqNOjqWjx0OteH/99fFbRarevr4ecdaiHRKhTkV+Hvb8Lkpa8PSPWtNw4V5zGOORxOnA5Xy43zn485Xa03x1pvy3UOQPNPFdVqNfj46vH2NuDjU/fH14C3jwEfbz3evgb8fI34+Zvw9zfi5a2XcCOO4NPrDGLu+Yns6edTs20+Oa9dQPS0uWhOcMPYlnBf/zP4M3sX3+/fxB19xtI1MNxttYhjk7DSgEPdQL4NrLHiqK2gdu8KALx7ndlqdbVnTqdKeVktBflV5OdXUVhQRXFRNcXFNZSV1h7zg/mftFoFb2/Xh6e3jx4fH0PdB6vedczbgLe3HoNB6wobRwWPowOJRuO5H7ZOp4rT6cRubzjw/B18nDicKg67E6vVgdlsx2K2YbbY677/x1dL3fcWG+ZaO06n6zoV5RYqyk9svIFOp8HPz4ifvxF/fxP+ASaCgr0IDvYmKNiLoGBvvCXQdDje3ccSc+/PZL8ykZrtC8l5fRLR//7BbS0sfUNjOTO+B79n7ODljX8wY+yVbqlDNEzCSgMOdQP5GY7dslKbthgcdvQRXTGEd2rFytoHu91BXm4V2dnlZGeWk51VTl5eJTZrw60Ber2G4BAfgoK8CAh0ffAFBJjqxoK4fvby6lgffBqNgkajRdfC/yerqorN6qC6xubqUqu2Ul3999f6P1VWKistVFZYqK21Ybc7KS2tpbS0tsFrG4xaV3gJcoWXw8NMSKgPXl76ln1xwi28U0YTe9+vZL10tiuwvHER0Xd+57YxLPf1m8DvGTv46eBW0krz6BYU6ZY6xLFJWGmAWt+y0lBYWQKAd/cxrVVSm+V0qhTkV3JgfynZWWVkZ1WQl1uBw3F0U4lWqxAa5kt4hOtPaKgPISHeBId44+dv7FBBxJMoioLBqMNg1BEUdGK//dqsDiorLVRUmKmscH0tLzO7wktJDaUltVRWWrBaHOTlVpKXW3nM6/j6GV1/H8J9CQ/3ITzCj7AIXwICTB7d6iWOz6vrCFeX0MvnUrP1d3LfuoSoO2ajOc4WJy2he3Ak5yb25ueDW3lt0yLeGXtFq9cgGiZhpQGHuoG8Gxg4W7PLFVa8Uka3Wk1thcPhJDengv37Sjiwv5gD+0uoqT56PImXt56YmABi4wKIjg0gOtqfkFBvtFqZUd8e6A1aguuCZkNsVgelZX+Hl9KSmrowU0tJcQ2VlRaq6v7s31t81PXDwnyIiPQjKtqf6Bh/oqP98fVr/Q86cfK8U0YTc/c8sqefR/XmX8h9+3Kib/8GRdf6LWp39R3Pzwe38tPBrdxdlk9yYESr1yCOTcJKA9S6biCvY4QVR20FlvSNrsclrABQVlbLrp0F7NpZyN49RZjNRy6rrTdoSUgIIj4hkJjYAGLiAggK8pKWkg5Ob9DWtZj4HvNxs9lOYUEVBXVjmAryqygoqKKosBqb1UFOdgU52RVsXJ9d/xw/f6MruMS4AnB0rD+hoT7yd82DeXcfS/S/55Iz/XzXtOYZVxD1r1mtHli6B0dydkJPfk3fzmubFvHWmCmten/RMAkrDTg0mNPrGP+zmPcsB9WJPqwT+uDYVq7MMzidKhnppezYlk/azoKjmvBNJh1JnYJJ6hxCp87BxMQGSIuJaDKTSUdcfCBx8YFHHHc4nBQX11CYX0VeXiW52RXk5FRQVFhNZYWFXRWF7NpZWH++l7e+/jrx8YHEJQTi6ystMJ7Ep+fpRE/7jpzXL6Rq3XfkvXc1kbd8hqJt3Y+pu1PH82v6duYd2MJdqeNlZpCHkLDSgPqWFe3RYaVm11LXY906VquK06lyYH8JWzfnsm1r7hEzQhQF4hOC6NY9nORuYcTEBsh4AtFitFpNfYtMz95/D4Q0m+3k5bpaW3JzKsjJLic3p5LaGhu70wrZnfZ3gAkO9iY+MZBOnUNI6hxMeLivtL64mU+fs4i641ty3riYyjXfgEZL5M2foGi0rVZDj+Do+plBr21exJunXd5q9xYNk7DSgEMDbI/VDVR7aLxK8qhWrcld8vMqWbcmkw3rsqms/DugmEw6uvUIp0fPCLqmhOHjIwvjCfcymXQkJgWTmBRcf8xud42hyswoc/1JL6OgoIqSkhpKSmrYtCEHAB8fA0mdg+lU1yIYFe0vgdsNfFMnEn371+S8dSmVq75E0eqJuOFDlAZWEm8Jd6eO5/eMHcw7sJm7U8fTOSCs1e4tjk3CSgMOzVMx/WNOqNNqxnxgHdC+x6vU1FjZvDGHdWsyycworz/u5a2nZ69IeveJpGtKKDpd6/3GI8TJ0Ok0R3Ul1dbayMoo4+CBUg7sLyb9YCnV1Va2bclj25Y8wBV8EpKC6Nw5hORuYURGSXhpLb79LyDqX7PIfWcKFcs/Ba2OiGvfbbXA0iskhglx3ZmfuZPXNi/idVnV1u0krDTg0GwgL+2RrQWWjE3gsKH1D0cfluSGylpWRnopy5YcYNuWPOx217LzGo1C9x7hDBgcR7fu4eh0MvZEtG1eXnq6poTRNcX1G7Pd7iQ7q5z9+4o5sK+EgwdKMJvt7NrpGvvyy09p+Poa6JIcSnLd8wIC3LunTXvnN+gicH5G7oypVCyZicbgTdiVr7ZaV91dqeOZn7mTufs3cVffcXSS1hW3krDSgENjVkz/GGBrPrDWdTxpULvp33Y4nGzZnMvyJQfISC+rPx4Z5cfAwXH0HxAj00FFu6bTaUhIDCIhMYix413js1zT74vZu6eYfXuLqKqysmlDTn23UWSUH11TwkhJCaNTl2BpZWwBfkMuQ3XYyHvvGsoWvInG5Efoxc+0yr37hMZyelw3FmSm8frmP3l19KWtcl9xbBJWGvD3mJV/hJX9awAwdRrc6jU1N7PZzsrlB1mx9CDl5WbANXAxtV80w0clEhsX0G4CmRBNodEorin2sQGMOq0TdruTjPRSdu8qZM+uQrIyy+sXslu6eD8Go5aUlDC694ygW49wmWnUjPyHT8VprqTg0zso+el/aEx+BE98sFXufXfq6SzITOP7/Zv4d+o42ZHZjSSsNODQmJV/DrA1769rWek0qJUraj61tTaWLz3A0r8OUFu3+Z+vn5FhwxMYOiIBP2lFEeIIOp2GTp1D6NQ5hLPO6UZ1tZW9u4vYvauQtJ0FVFZY2Lolj61b8upnxvXoGUGPXhGER8gso1MVOO5WnOZqir55kKLZ/0Hj5U/g+Ftb/L59Q2MZF5vCoqxdvLH5T14ZdUmL31Mcm4SVBhyrZcVRVYItfw/g6gZqa2prbSxZvJ/lSw7UL9oWFu7D2PFdSO0fLc3YQpwgHx8DfftF07dfNE6nSnZWOTu257Nzez452RWkHywl/WApv/6cRni4L737RtEnNYrIKD8JLicp+Jz7cNZWUPLjsxR8dgcakw/+I65u8fvenXo6i7J2MWffRqb1HUeif0iL31McTcJKA461zor5oGsWkD6iC1rf4GM+zxPZ7Q5WLk9n4fw91NS1pERE+jH+jC70SY2WGQ5CnAKNRqmfbXTm2SmUldayc0c+O7bns3d3MQUFVSz8Yw8L/9hDaJgPffpG0btvFNEx/hJcmihk8pM4zRWU/fEGeR/cgGLwcQ3EbUH9wuIYE5PM4uzdvLP1L/5vxOQWvZ84NgkrDfh7Bdu/u4HM+11hxZQ00B0lNZmqqmzelMtvP6VRUlIDQHiELxPOSqZXnygJKUK0gMAgL4aNSGTYiETMZhs7tuezdVMuu9IKKSqsZtGCvSxasJeQUG9693G1uMTEyviwE6EoCmFTXsFprqRi6cfkzrgSjckXn95ntuh9p/Udx+Ls3Xy7dz13pY4nyiegRe8njiZhpQFOju4GsmRtAcAYn+qOkpokN6eC72dv4+CBEsC1X8qEs5IZODhOlr0XopWYTHr6D4il/4BYzGY7aTvy2bI5l7SdBRQX1bB40T4WL9pHeLgv/QbG0K9/TKMbPwpQNBoirnsPp7mKqrWzyXnjImLu/QXvFlz3anBEIkMiElmdf5D3ti/l8cETW+xe4tgkrDTg0JgV02HdQNbMrQAYY3u7paYTUVtr44/fdrNi2UGcThW9QcvY8Z0ZfVonDEb5zy2Eu5hMOlL7x5DaPwaLxU7ajgK2bM5l5458Cgqq+P2XXfz+yy4Sk4LpPzCGPn2j8JZVoY9J0WiJuuUzcizVVG/5lZzp5xP74IIWbfW+s+84Vs+fyee7VnNnn7EEm3xa7F7iaPLpdRzGuk20nFYz1rzdrmNxfdxZUoN2bMtnzrdbqKxwLYnfu28U513Qg8AgLzdXJoQ4nNGoqx+gazbb2LYljw3rstm3t4iDB1yL0v3w3Ta69Qin/4BYuvcMlwHw/6DoDETd8S3Zr0ykNm0x2a+cS9zDf2GI7tYi9zstuit9QmLYUpzNhzuWc3//CS1yH3FsElaOw1AXVqw5O0B1ovENQRsY5eaqjlRTY+XH73ewfl0WAKFhPkya3IvkbrLiohCezmTSM3BwHAMHx1FeVsumjTlsWJdNbk4F27fms31rPt4+egYMjGXQkHgio/zcXbLH0Bi8iPn3XDJfOB3LgXVkvXw2cY8sRR8c2+z3UhSFO/qM5eY/P+fjnSv4V6/R+BlkFePWImHlOAx1u31aMuvGq8T18aiBcDt35DPnmy1UlFtQFBg9phMTzkpBb5DfwoRoawICvThtbGdOG9uZ3JwKNq7PZsP6LCrKLSz9y7U2UnxCIIOHxtO3XzRG6dpF4+VHzN0/kfncaGx5u8l+6Wzi/vNXi8zYPCuhB10CwthbXsinaau4vc+YZr+HODYZadkIjaKgrds4y5LlWeNVbDYH38/eykfvr6Wi3EJomA+3TRvBuef3kKAiRDsQFe3POed15+H/jue6GwfRs3cEGo1CRnoZs7/ewtOP/8HsrzeTfrC0foxdR6XzDyP2vt/QBkZjzdlB9qvn47RUN/t9NIqGO+oCyvvbl1FrtzX7PcSxSSxvhF7z94e+tT6s9HJXOfUKC6v44pMN5GRXADDqtCTOOqebhBQh2iGtVkP3nhF07xlBZYWZ9WuzWLM6k6LCatasymTNqkwiIv0YMiyeAYNi8fLSH/+i7ZA+NIHY+38j87nTMO9dSc5blxIzbS6Krnnfjws6pfLyxgVkVpXy1e61XNdjeLNeXxybtKw0wnB4WMl1Da5tqcFbJ2rjhmxee3kpOdkV+PgYuOGWwZw3qacEFSE6AD9/E2PGd+H+h8fwrzuGMWBgLHq9hvy8SuZ9v51nn1jAnG+2kJtT4e5S3cIY05OYu+ahGLyo2fIbeR/egOp0Nus99Bott/Y+DYB3tv2F1WFv1uuLY5OWlUboNXUzgSw12EsyATBEprilFofDyc/zdrJsyQEAkjoHc8XUfgQEykwfIToaRVHq9yo6f3JPNq7PZuXydPLzKlm9MoPVKzNI6hTMsJGJ9O4T2aHWVvLqOpzoO74l+7VJVK78Aq1fKGFTXm7WsYaXdhnAq5sWklNdzvf7N3FZ17axUGhbJmGlEXqtq7XCVrAXAI1PEBrf1t8XorbWxhefbGD3rkIAxp3RhTPOTO5Q/wAJIY7Ny0vP8JGJDBuRwP59JaxcdpBtW/M4sL+EA/tL8PMzMmRYPEOGJxAQ0DFmr/j0OZvIGz4k771rKJv/Gjr/cIInPtRs1zfp9NzccxTPrPuFt7Ys5uLO/evHN4qWIWGlEYe6gay5u1w/R6a0+kygwoIqPv5wLYUF1ej1Gi67IpU+qdGtWoMQwvMpikLnLiF07hJCebmZ1SvTWb0ig8pKCwvm72HRgr307hvF6DGdiIsPdHe5Lc5/+FQclcUUfnkPRbMfQesXSsBpNzbb9ad2G8IbW/5kf0URv6ZvY2KSZ66/1V5IFGzEoQG21jzXTsuGyK6tev/0g6W89dpyCguqCQw0cdu0ERJUhBDHFRBgYsJZKTz82HiuuLo/SZ2CcTpVNm/M4Y3py3jnjRVs35qH09m+ZxEFnfnv+haV/I9vpWrTT812bV+9kevrBte+vuXPDj8jq6VJy0oj/g4rrpYVfURyq9175458Pv94PTabk7j4QK69YSB+/h2jCVcI0Tx0Og2p/aJJ7RdNTnYFSxfvZ9PG7PouopBQb0ad1omBg2Lb7XYcIRc9g708z7Xx4dtTiH1oIV6dBjfLta/vMYL3ti1lR0kui7N3MzbWPWMaOwJpWWnEodVrbYdaVqJaJ6ysX5vFJx+uw2ZzktI9jFtuGypBRQhxSqJj/LnsylQe+u94xp7eBS9vPcVFNcyds41nn1rIrz+nUV5udneZzU5RFCKumYF37zNRrTXkTD8fa/7eZrl2kNGbK1JcweedrX81yzXFsUlYaUR9y0p+XViJaPluoFUr0vl61iacTpX+A2K49oZB7fY3HiFE6wsIMHH2ud145LHxTLqoFyGh3tTW2PhzwV6ef3ohX32xkbzc9jX1WdHpib79G4wJ/XFUFpL9yrnYKwqb5do39hiJTtGwIm8/m4uymuWa4mgSVhqh12hx1lbirC4BQBeW1KL3W7Uine++dS0+N2JUIpdekSozfoQQLcJg1DF8ZCL3PzyWq68fSFKnYBwOlQ3rsnnlhSV8/OFa0g+WurvMZqMx+RJz94/oQhOx5e8l59ULcFpqTvm6Mb6BXNCpLwAzti455euJY5NPwkYYtFpsxemAa9qy1su/xe51eFAZdVoS51/YE43Gc/YgEkK0TxqNQq/ekdx653DuvHskvftGoSiuXdzfem057761kt27CtvFAFJdYCSx9/6CxicY8/7V5M64ArUZFnX7Vy/XInE/p2/lYEXxKV9PHE3CSiP0Gi22IldY0YcktNh9NqzPOiKoTLygh0dtliiE6Bji4gO56toB3PvQGAYNiUOjUdi3t5gPZqzmjenL2Lolt83PIDJEpRBz11wUvYnqjT9S8MW/TzmIdQ+OZGxMCk5V5f3tS5upUnE4CSuN0Gu02OvCii4kvkXusTutkG9mbQZcXT8SVIQQ7hYe7ssll/floUfHMXJ0Enq9hqzMcj77aD2vvPAX69Zk4nA07zL2rcmr6wgib/kMFIXyRTMo/fn/Tvmat/YeDcBXe9ZRbK465euJI0lYaYRBo6vvBtKHNn/LSmZGGZ9+tA6nUyW1fzTnTeopQUUI4TECg7w4/8KePPzYeMaf0RWTSUdBfhXffLmZF59bzNrVGW02tPgNnEzYFa8CUDT7ESqWf3ZK1xsW2Ym+obFYHHY+2rmyGSoUh5Ow0gidRnNYWEls1msXFVYz8701WK0OuiaHcumUVBmjIoTwSL6+Rs48J4X/PD6ecyZ2w9fPSElJDd9+taVNh5agM+4g6Oz7AMibeSPV2xec9LUURanf4PDjnSupsVmbpUbhImGlEVpF0yLdQGazjY8/WEt1tZWY2ACuum4gOp38pxBCeDaTSc+Y8V146NFxTLygB76+hr9Dy/8Ws3Z12+seCr3kf/gNuQwcdnLfvARL9vaTvtbZ8T1J8AuhzFLDV3vWNmOVQj4hG6HVKNiKMwDQN1NYcTpVvvxsIwUFVQQEmLj+pkGYTLKOihCi7TAYtIwe04mH/jv+79BSXMO3X21uc6FF0WiIuPEjvFJG46ytIPuV87CX55/UtbQaDbf0GgXAe9uXYnc6mrPUDk3CSiO0KjgqCgDQBcU0yzXn/7aLnTsK0Ok1XH29LKEvhGi76kPLo+M49/zu+BwWWl56fnGbGYir0RuJvnM2+oiu2IvTyXntQpzW2pO61iVdBhBi8iGrqoyfDm5t5ko7LgkrjfCxVILqBEVB6xd2ytfbtiWXRX+4lnm++NI+HWLnUyFE+2cw6jhtbGcePiy0FBfV8M2XrtCyaUO2x0951vqGEHP3j/VrsOS9dw2qs+lBy0un57rurg0O39n6V7tYn8YTSFhphE9tGQBav3AU7al11ZTW9euCay2V/gNjT7U8IYTwKIeHlnPO646Pjyu0zPpsI6+/spSdO/I9+sPbENmV6GlzQKunat0ciuY8elLXuabbULx0eraX5LIst3n2IeroJKw0wqemDABdYNQpXcfhcPLl5xuprbURFx/IOed1b4bqhBDCMxmMOsaM68yDj45jwtnJmEw6crIr+Oj9tcx4cyUH95e4u8QGeaeMJvKGDwAo/fn/KF8ys8nXCDL5MKXrIADekSX4m4WElUZ415YDoA2MPKXrLPh9DwcPlGIy6bjiqn6y348QokMwmXScPiGZBx8dx+ixndDpNRzYX8Lbb6xg5vtryMn2zA0T/YdPJfiC/wKQ/8mt1OxY2ORr3NhzJBpFYUnOHtJK85q7xA7HIz81nU4nr7/+OqNGjSI1NZWbbrqJzMzMBs+32Wy8/PLL9edPnTqVnTt3nnIdPjWuTbx0AScfVtIPlrJogWvX5smX9iEk1OeU6xJCiLbEx8fAxPN78MB/xjJ4aDwajULajgJee3kJsz7bQFFhtbtLPErIpMfxG3o5OOzkvHEJlpymfabE+wVzdkIvAN7fvqwlSuxQPDKsvP3228yaNYunn36ar776CqfTyY033ojVeuxFdp544gm+++47nnvuOebMmUNwcDA33XQTlZWVp1SHV13Lii7g5LqBbDYH3365GVWFAQNjSe0XfUr1CCFEWxYY6MXFl/Xh3gdPo2+/aFQVNm3I4aXnF/P97K1UVVrcXWI9RVGIuP5DTF1H4KwtJ2f6edjrZoeeqJt6jARg7v5NFNae2udRR+dxYcVqtTJz5kymTZvGmDFj6NatG9OnTycvL4/58+cfdX5mZiZz5szh2WefZdSoUXTu3JlnnnkGg8HAtm3bTqkWr7qWFe1JjllZMH8PBQVV+PkZOW9Sj1OqRQgh2ouwcF+uvLo//753FCndw3A6VVYuT+f/nv2TRQv2YrN6xvokGoOJ6DvnoA/rhK3wADmvT8ZpNZ/w8weEx9MvLA6Lw86naatasNL2z+PCSlpaGtXV1QwbNqz+mL+/Pz169GDt2qNXBFy+fDl+fn6MHj36iPMXLVp0xDVOhld9N1BEk5+blVnGX4v2AXDhJb3x9jGcUi1CCNHexMQGcMPNQ7jl9qHExAZgsdj57ec0Xvjfn6xfm+UR0511/mGuKc3egZj3riT/o5tOeEaToijc3NO1SNynaauotdtastR2zeOWTs3Lcw1Eioo6sjUjPDy8/rHDHThwgLi4OObPn897771Hfn4+PXr04KGHHqJz584N3mf8+PENPpabmwu+RgxmV7Od1je0Sa/B6VT5fvZWnE6VPqlR9Op9agN0hRCiPevcJZQ77x7J5o05/PpzGmWltXw9axNL/9rPuef3oGty0/4Nbm6G6G5E3/EtWS+dReXKWRhjexN87gMn9NyzE3oS4xNIdnUZ3+/fyBXJg1u42vbJ41pWamtdqwYaDEe2RBiNRiyWo/szq6qqSE9P5+233+aee+7hnXfeQafTccUVV1BcXHxKtRgsh8JKcJOet35tJpkZ5RiNOs6f1POUahBCiI5Ao1HoNyCG+x8ewznnda+f7vz+O6uY+d4a8nLdO+bDu8c4wqe+BkDR7P9QtXHeCT1Pp9FyfQ/XInEfbF/m0evMeDKPa1kxmVzLz1ut1vrvASwWC15eXkedr9PpqKqqYvr06fUtKdOnT+e0007j+++/58YbbzzmfRYubHgq2vjx48moLEFf17Ki8Q054fpra2388lMaAKef2RX/AFlOXwghTpRer2XMuM4MGhzHgvm7Wbk8nbSdBexKK2Dw0HjOPCcFX1+jW2oLHHcrlqztlC96h9x3ryL+kWUY43of93lTkgfzysYF7C4r4K+cPYyJSW6FatsXj2tZOdT9U1Bw5KjrgoICIiKOHjsSGRmJTqc7osvHZDIRFxdHVlbWSdehoKKp24RK63PiLSt//Lab6ior4RG+jByddNL3F0KIjszH18AFk3tx70On0btPJKoKq1dm8MKzf7Jk8X7sdvfsORR+xXS8uo9DNVeR/dok7BWFx32Ov8HElGTXInHvb1va0iW2Sx4XVrp164avry+rV6+uP1ZRUcGOHTsYNGjQUecPGjQIu93O1q1/bxhlNpvJzMwkISHhpOvQ1DXVKQYvNIajW3SOpaSkhpXLDwJw/qSesvibEEKcorAwX666biC33jmcmNgAzGY7P/2wg+kv/kXazqZNJW4Oik5P9O1fow/vjL3oILlvXoJqP/ayGoe7vscINIrCX7JI3EnxuE9Tg8HA1KlTeemll1i4cCFpaWncfffdREZGMmHCBBwOB4WFhZjNruljAwcOZPjw4Tz44IOsW7eOvXv38sADD6DVarngggtOug4NrrDS1FYVh0Ola3Ioyd1OfeNDIYQQLkmdgrnz7pFccnkffH0NFBZUM/O9Ncx8bw0FBVWtWovWN5jou35A4+VP7e6l5H96+3HHosT7BXNWvGsM4weySFyTedyYFYBp06Zht9t59NFHMZvNDBo0iA8//BC9Xk9WVhbjx4/nf//7H5MnTwbgjTfe4KWXXuKOO+7AbDbTv39/Pv30U4KDmzYw9nCHWlZOdLxKXm4FG9a5up3OOrfbSd9XtD+qqoLNgVpjQ7U5wOZEtTvA7kS1O11fbYf/7HB9tdU9Zv/HY/XHjzz3n9d02uw40gpR/E3oYgJAr0HRaUCnBd2h7zUoeu2RX+vOUfSaI3/+5/l1Px95bt1jJh2Klx5FWhdFM9JoFAYNiad33ygWzN/D8iUHSNtZwO5dhYwYncTpE7ri5aVvlVqM0d2JunUW2dPPp2LJTIyxvQmaMK3R59zccxS/pG/j+/2beHDAmYR5+bVKre2BosrQ5KOMHz+ewrJ8ZvfeiVe3McQ9dPx9IT77aB1bt+TRu28UV107oBWqFK1BtTpwVphRK8yur+UWnIe+r7SgVllwVltdQaTailpjRa22odZY/z5eYwU39a+7m+KlR/E+9MeA4mNwffXWoznse8XfiCbAC02ACSXAhCbAVP8zJh2Korj7pQgPVFhQxU8/7GDnDld3kI+vgbPOSWHQENeS/q2h9LfpFH51HygaYu79GZ9eExo8V1VVzv/5bTYWZnJ36nju7XdGq9TY2g4tDdLYRJam8siWFU+g1HcDBR333IL8KrZtdfVBnnGmjPL2ZKrdibOsFmdxNc7iGpwlNa6vxTWuYyU1OOp+VstqUWubeREnjdJA68U/Wyv+0aKhP/ocRac9bmuJI7MMxd+Ext/UaCuManc00JLTcKvPkS09jvrzDw9maq3N9R6eyioCem1deDkUZP4ZakwogV5oQ33QhHijCfVB8TNKwOkAwsJ9ue6mwezaWcCPc3dQUFDFnG+2snJ5Ohde3JuExOP/+32qAs+8C0v2NiqWfkzuW5cT/9hKDFEpxzz30CJxty6exadpq7i99xhMutZpCWrrJKw0oL4b6ATGrCxetA9VhZ69IoiMkmY9d3HWWHHmVeLIq8SRW4kjt6Lu5wqcBa4g4iytgZNoS1T8jGj8Ta4WAP+6D0o/I4qvEcXHgMZb/3ergc9hLQeHH/PSu8JEO6eqKlgdqNVWnDX/bHVy/XxEa1S1FWelGbXCgrO8Fme5GbXcjLPc7Ao+NgfOomqcRU3Y7E6vRRPqgzbUFV40oT5oQnzQhHqjDan7OcIXbbgvikH+GWzrUrqH0yU5lJXLDjL/t93kZFfw1mvLGTQkjnMmdsfHt+VWEFcUhfCr38aatwfznuVkv3oB8Y+tbPAX3bMTehLtE0BOdTk/HtjCJV2lJf5EyP+lDagfYOvl3+h5ZaW19WNVxp7epcXr6shUqwNHTjmO9DLsGaU4MspcP+dU4MirRC0/wT07FFy/iYfU/SYe4o0m2Nv1YXb4z0FeaAK8UHwNMvaiCRRFAaMOxahDE+x90tdRVdUVaMrNR4aYCvMRgcZZXouztNbVOlZUjVppcQWc3AqcuRXHvY8mxBtNuC/aSD80EX5oI/zQRvq6vo90/ay00jgIcfK0Wg0jT+tE6oAYfvkxjXVrMlm7OpNtW/M4+9xu9bs9twSN3kj0nbPJeHIItvw95L5zBTH3/ISi0R51rk6j5epuw3h+/W98tHMFF3fpL62AJ0DCSgOUQ1OXTY23lCxZvB+nU6VzlxDiE1q+ybG9U1UVZ14l9n3Frj8HS1yhJKMMR24FHGevEMXH4PrQifJHG1X3YRPljybcty6I+KAJ9OoQLRxtnaIoKD4G8DGgjW78l4bDqRY7zqJqV3deUbWre6/I1e3nqGuhcRZW4yioAou9vhvQ3sg0WE2IN9qYALSxAWij674e+j7aH8Vw9IeScA9fXyOXTunL4CFxfD9nK7k5lXz37VbWrs7gwot7ExsX2CL31fmHE/PvuWQ8M4KabfMpmvNfwi557pjnXpE8iOmbFrClOJv1BRkMjDj5ZTY6CgkrDTg0ZkXTSFixWOysW5MJwJhxDe9DJI6mqirOomrsOwuw7yn6O5zsK0KtaXiciOKlRxsfiDY+EF18kOsDJMofTVRdKPFzz8qWwnMoRp3r70VMQKPnqaqKWm52dRvmV7q6DPOr6r7WHcutRK211Qca25bcY9wQVytMtL8rwNTdWxcfhDYh0DWGRn5zbnWJnYKZds8oVi47yO+/7iYzo5w3pi9j6PAEzjwnBW/v5u8aMsb3JeL6D8ibcSWlP/8fpoR++A2+5Kjzgk0+TOqUytd71jFz53IJKydAwkoDDv3TovHybfCcTRuyMZvthIR60zVF1lVpiKqqONJLse3Ix55WgG1nAfa0ApzFNcd+gk6DLiEIbecQdEnBaOOD0NUFFPmHXzQXRVFQAr3QBHqh7xZ+zHPqA01OBY6sMhzZFTiyy11/slxdkGqtDWeeK+zYNmQffR8fgytcJwajTQhClxBY9zUIJdBL/j63oENdQ31So/lp3g42bchh5fJ0tmzK5ZzzujNgUGyzdw35D70cy8ENlP72MnkfXI8hqtsxl+S/vvtwvt6zjl8ObiO3upwon8bDdUcnYaUB9QNsjccOK6qqsnJ5OgDDRiS22jS5tsBZVottax62LTlYN+di25KLWnGM8SQaBW1iMPrkUHRdQtF1DkHXOQRtQpBrNosQbnZEoOlx9HYfqqq6ZpDVBRdH1qEgU9d1mV2OWm11tSAeo5tJ8Te6gnlCELpOIX//PxAXKP8PNCP/ABNXXNWfwUPjmTtnGwX5VXz71WbWrs7kost6ExHRvBMjQi95DkvmJmq2LyTn9cnEP776qA1xe4ZEMyQiidX5B/h812ru79/wlGchYaVBx+sGykgvIye7Ap1ew8BBsa1Zmkc51GpiXZOJdVM2ts25OA6UHH2iUYc+JQxd93D03cLRdQtHnxwmAxdFm6YoCtoQH7QhPtA3+qjHVasdR2Y59vRSHOml9WOw7OmlOPMqUSssrmC/9R/Lrx/eunj4n8RgFKP8s32yunQN5a77RrNsyQEW/L6bgwdKePXFJYwd34Wxp3dB30wBUdHqiLr1S9eA28L95M64gph7fj5qwO11PYbXh5U7+4yVacyNkL/1DTg0wLahsLJmVQYAqf2i8fZpuWlxnkZVVRwZZVjXZmJdnYF1bSbOYyx1rY0PRN83Gn3fKAx9otElh8kgRNHhKAZdfdD4J7XW5prVll6K/WAp9v2ucVuO/SWux+rGcVkOf5JGQRsbgK7zoZbIYHRdw9B1DpEQc4J0Og1jxnWmb79ovp+9lbQdBSyYv4fNm3KYfEkfOnc5sVXLj0frG0L0tO/IeHoENdv+oGj2I4Rd+vwR55wV34Mo7wBya8r56eAWLu4i05gbIn+7G1DfsnKM5ZBtVgdbN7sG2g0cHNeqdbmDs9yMZcVBrEsPYFmVjjOv8sgT9Fr0qdEYBsRi6BuNvk8kmqCTn7IqREegeOnRp4SjTzlyvIzqVHHmVrjCSl2AOfRVrbDUz46z/Ln37ydpFXSJweiSw1x/UsLQJ4ehifKTMTENCAry4robB7F1cy4/fLedwoJq3n1rJYOGxHHued2b5ZdQY1wfIm/8kNy3p1D6y4uuAbdDLqt/XKfRck131zTmmTtWcFFnmcbcEAkrDdDUzZA9VsvKzh35mM12AoO8SEw6+f2HPJWqqtjTCrAsOYBl6X5sm3PAcdiUYZ0Gfd9oDIPjMAyOx9A3CsUkzZdCNAdFo9TPKDKO7lR/vH4GXV14cdS1vNh2FaKWm+tbYvg17e9r+RnRdQ11dcHWhRhd1zA0Hag1uDGKotAnNZquKWH88uNOVq/MYO3qTHZuz+e8ST1J7R99yuHBb/ClmA9uoPSXF8n78EbXgNv4vvWPHz6NeUNhBgPCZWbQsUhYaUBjY1Y2rHeN+O83IKbdDKxVHU5sG7Ix/7Eb84I9R7We6DqHYBiVhHFkEoZ+MTLWRIhWpigK2jBftGG+GIf+/YGmqirOwmrsuwqx7S7AvqsQ++5C7PtLUCst2DZkHzVLSZsQhL5HBLoe4ei7R6DvEYEm0Ku1X5LH8PLSc9Glfeg/MJY532yhIL+KLz/fyPp1WUy+uDfBIafWUhx68bNYMjZRs+0Pct64qG7Arau76YhpzDtWSFhpgGxkeAzjx4/HVniAD/qn0/md0iNWsa2ptvL043/gcKjc++BpRES23eX1VbsT66p0zH/sxrJwL86Sv6cSK156DEMTMI5Kwjgq6bhrVgghPItqdWA/WFIfXmx1X481xgxAE+2Pvnt4XYhxBRhtWMNLN7RXdruDxYv2sXD+XhwOJ3qDlrPPSWH4qKRT+uXUUVVSP+DWu+fprgG3Wld7wfbiHM6c9zo6RcOqSx8i0vvEF0H0RLKRoRtoDEcm6p07CnA4VCKj/NpkUFFVFfvOAmrnbcf8884j1jpR/E2YxnXBOCEZ47AEGbAnRBumGLTok11jVw7nLK3BtrPAte7RjnxsO/JxZJThzKnAklOBZeHfY2E0oT6HhRdXK4wm2r9dj6vQ6bScPiGZvqnRzPlmC/v3lTBv7g62bM7l4sv7Eh5+cgFO6xtcN+B2ODXbF1D8/eOEXvwscOQ05s/SVsk05mOQT6NGqIq2Pvkesn2ba4phz96R7ijppDlyK6j9aSfmedtd/dp1lCAvTBOSMZ2RjGFQnKztIEQ7pwnyxjg8EePwxPpjzkqLa8HGuvBi35GP/UAJzqJqLEv2Y1my/+/nh3ij7x2Fvnek62uvyHbZhRQW7svNtw1j9coMfv5xBwcPlPLqS0uYcFYKo8d0OqlWFmNcbyJv+IDcd66g5KfnMXUegm+/84EjpzFP6zsOo1Y+ng8n70YjnLojB6HZrA52pRUC0LOX54cV1eHEsmQ/NV9uwrr8wN+7DRu0mMZ1wXR+T4wjEiWgCNHBafyMGAbFYRj09+xGZ43V1X20Ix/7zgJs2/Ox7y3CWVyDZfE+LIv31Z+rjQ90BZc+dSGmW3i7GHSv0SgMG5FAt+5hzP56C3t2F/HLjzvZujmXS6f0PanWdb8hl1G7dxVlf7xO3nvXEv/EGgwRXY6Yxvzjgc0yjfkfJKw0Qv1HWNmzuwib1UFgoImYWM/tU3QUVVM7ews13245YtdZ/aA4vM7vgWlCiuyhI4RolMbbgCE1BkNqTP0x1WzDllZQt0J1LrZteTjSS+unU5t/3uk6UadBlxxW3/pi6BuNNikYpY1OSAgK9ubGfw1h3ZpMfpy7g8yMMl59aSlnnNmV08Z1RtvEXdnDLvs/zAfWYd67gpw3LyH+0eXojN5c030oz6//nY93rpKw8g8SVhqh6o78QN+V5louu0evCI/ss7XtyKf6o7WYf98FdicASoAJr8m98b60LzrZFVoIcQoUk/6oAOMsq8W2Pa9uJV7X9hrO4hpXV9KOfGq/3ux6rr8JQ2o0+kN/eke1qSnUiqIwaEg8ySlhzPnWtZjcb7/sYsvmXC6dkkp0zIn/AqvoDETd/hUZjw/EmrmFgk9vI+LGj7i86yBe2biATUWZbCnKok9ox10d/Z8krDTin91Ae3YXAXjUpoWqqmJdmU71h2uwrkyvP67vG4X3lH6YzkyRgbJCiBajCfTCOCIJ44gkoG4qdW6lK7hszcVa1wKjVpiPHP+iUdClhGHoF+MKL/1i0LaBwbsBga7F5Dasy2be3O3kZFfw+itLGXdGF8af0fWEW1n0QTFE3TqLrBcmULH8M0xdhhE69hbOSezN3P2b+DRtFS+NvLiFX03bIZ9ijTi8ZaW0tJaiwmoUBTodY+ns1qY6Vcy/76L6g9V/b5CmVTCd3Q2fawcdc9M1IYRoaYqioI32Rxvtj+nMFABUmwP7rkKsm3KwbcrGujHHtUrvoQ0eZ20EQBPm41oNOzUGw8BYdN0jUHRN62JpDYqiMGBQLMkpoXw/exvbtuax4Pc97NxewOVXpp7wWBbv7mMJveQ5ir55iMIv7sKU0J9rug1l7v5NzN2/mUcHnUOgUVYDBwkrjTp8zMreulaVuPhAvNy4IJqqqlgW7qXqjWXY97hqUrz0eF3cB5+rB8h6KEIIj6Poteh7RaLvFQlT+wPgyKvEtinHtQHqxhxsO/NxFlZj+WMPlj/2uJ7nrUffPwbDgDgMA2PR945EMXjOx5afv4mrrhvA5o05fD9nG9lZ5bz28lLOntiNESe4LkvQ2fdRu3cl1Rt+IOetS+n3+Bq6BUWSVprH7L0buLHnyFZ4JZ7Pc/6re6DDw8qe3a5ZQF2T3dMFpKoq1mUHqXx9Kfbt+YBrKW2fqwfgfWX/djl1UAjRfmkj/dCelYLprLrWF7MN2/Z8V3jZkI11fRZqhQXrsoNYlx10Pcmow9A3Cv2AWAwD4zCkRrt9NW1FUUjtH0NS5xBmf7WZXWmF/Dh3Bzu25XPpFakEBTX+b7OiKETe+BEZTw7Glr+XvPeu4ppz/svDq3/ks12ruaHHCI/vGmsNElYacXg30IF9JQB0SW79LiDbrgIqn/8T62rXTs+Klx7vqwfgc+0gNAGmVq9HCCGam2LSuzZDHRALN7i6uu17CrGuzcK6LhPb+iycxTVY12RiXZNJNStd+5T1isQw0BVe9P1i3DbTMSDAxPU3D2bVigx+mreDfXuLmf7CX5x/YU8GDIptNHBovQOIvuNb14Jx2/5gfOJAfHQG9pUXsiJ3HyOiu7TiK/FMElYacWiAbVlpLeXlZjQahbj41ptR4yiupur1ZdTO2QpOFQxavKf0w/emIWiCpR9TCNF+KRqlfldqn6n9UVUVx4ESrOtc4cW6LgtnXVeSbVMO1R+sAY2CvmckhqHxGIYluPYxa8UJBoriWpela3IoX8/aRPrBUr75cjM7tuUz+dLe+Po2HKSMcX2IuHYGee9dQ9VP/+PfZ/+H5+zwSdoqCStIWGnUoZaVjPRSAKKi/TEYWn4BNdXhpOarTVS9thS1ygqA6cwUfO8djS42sMXvL4QQnkZRFHSdQtB1CsH70r6u8JJdjm1dlivArM3EkVlWPwup+v3Vrm6jftEYhiViHBqPrkcEShPXRDkZoWE+/OuOYfz1537++G0X27bmcfBACRdd1qfRBUX9h0+ldu9KyhfNYPxfbzOz1yX8nrGD3Opyonw69nhECSuNULWulpX09DIA4hMCW/yett2FVDz2O7YtuQDoekTg/9A4DANlvr0QQhyiKAq62EB0sYF4TeoFuAbtWlelY1mVjnVlOs7CaqyrMrCuyqAKUPyNGAbHYxyWgGFoAtrEoBYbD6LVahh3ehe6dQ/jqy82kZdbyScfrmPw0DjOn9QTQwMtPmFTXsFycAPm/Wv4v73zuaHnRXy5ey339Du9RepsKySsNKZub4aMg66WlfgWXFRNtdqpensl1TPXgN2J4mPA797ReF2a2mZXfRRCiNakjfTDa1IvvCb1crW87C/BsjId66p0rGsyUCssWBbswbLANdtIE+GLYVhC3ToxiS0yUSE6JoA77x7J/F93sWTxftasyuTA/hKuuKo/MbFHt5Zo9Eaibv+a9Mf6E1eSzi37F/OFbxB39h2LXtNxt0aRsNIIVaPF4XCSnVUOQHxiYIvcx7aniPIHf8Zet0Ku8fSu+D8yHm1E29vVWQghPIGiKOg6h6DrHOIa82J3Ytueh3VlOtbVGVg3ZOPMr8I8dzvmudtd4116R2Ic1QnjqCR0PSOb7RdFvV7Luef3IKV7OF9/sYnCgmrefHUZZ53bjVGnHb0poj4knsgbPyLntUlclL2BLQFx/JGxk3MSezVLPW2RhJXGaLQUFVVjtzsxGLSEhPg06+VVVaXm8w1UvvwXWB0ogV4EPHEGpgkpzXofIYTo6BSdBkPfaAx9o+Ffw1BrbVg3ZmNdcRDL0gPY9xRh25yLbXMuVW8uRxPsjWFEIsZRda0uQac+qaFL11Duun80s7/ezPat+fw8bye70wq57IpU/P8xs9O333kEnXUvpb+9zP27fuP9dYMkrIgGKFpycyoBiIzyO6ktwRvirDBT/p9fsSzaC4BhZBIBz56FNsy32e4hhBDi2BQvPcbhiRiHJ+J33xgcuRVYlh3AsvSAa7xLSQ3mH3dg/nEHKKDvHYVxVBKGUZ3Q9zr5VhcfHwNXXzeQ1Ssz+HHudvbsLmL6i0u4ZEpfevQ8cuXx0IufpXzXEnwPrOXsv95k79ir6BLSMccvSlhphKrRkle3a3FkVPPtsmxLK6Ds3z/gyCwDvRa/B8bgfUU/WfhHCCHcRBvlj/clffG+pC+q1YF1UzbWpQewLN2PfXeRa5fpLbnw1go0Id4Yx3bBOK4LxqHxKKamLUynKApDhyeQ1DmYWZ9uJDengo8/WMvwkYmce3539HrX2BRFpyfhjm/Y/nAvulXmsfPj2+hy77yWePkeT8JKI1Strr5lJSq6ecaPmH/bRdl/fgGzHU20P0GvXuBagloIIYRHUAxajIPjMQ6Ox+/e03DkV/7d6rLiIM7iGmpnb6F29hYULz2GEYmYxnXBeFqnJnUXRUT4ccddI/j1pzSWLTnAimUH2b+vmCuu6k9klOszRx8ST82lL+L9+W2kbP2Z4tVfEzLkspZ66R5LwkpjmrFlRVVVqmeuoerlJYCr2yfwhXNlmXwhhPBw2gg/vC/qg/dFfVytLusysSzai3nRXpx5lX/PMNIo6PvHYKprddGdwAxSvV7L+Rf2JLlbGN/Mck1xfmP6UiZd1JuBg10r3w4dfxOvrfiSc/cvpWDmTfglDcIQ3qkVXrnn8LztLD2IHQOlJbUA9Sn3ZKh2JxVPzK8PKt5X9ifonckSVIQQoo1RDFqMwxPxf/R0whbeQsjsq/G5dRi6lDBwqtjWZVH54mKKzv6AovNmUvn6Mmy7ClBVtdHrdusezt0PnEZyShg2m5Nvv9rMN7M2Y7XY0SgatOc+zDb/aLSWanLfvhynzdJKr9gzSMtKI6qsroDi7a3Hx8dwnLOPTbXaKbv7Ryx/7gUF/B4ah89VA5qzTCGEEG6gKAr6HhHoe0Tgd+dI7NnlWBbtxfLnXqzrsrDvK8a+byXVM1aiTQzCdFY3TGcmo0sOO+YYRT8/I9ffPJjFC/fy+6+7WL8ui8zMMqZe059Lug3lvB4X8M66jwg4uJ6ir+4n/KrX3fCq3UNaVhpRbXfNzAkJPbkpa6rFTtm0H1xBxaAl8LVJElSEEKKd0sUE4HPVAIJnXkb40tsJ+L9zMY7rAgYtjoOlVM9YSfGFn1B07odUvrb0mC0uGo3CuDO6csvtw/APMFKQX8Ub05eRta2CPp0H8Xy3cwAoW/gWlWtnu+NluoWElUZUWw+Flaavr6KabZTe8T2WJfvBpCPo7cmYTu/a3CUKIYTwQJoAE17n9SDozQsJX3Y7AS/8I7i8u+rI4LK78Ijnd+ocwl33jj6iW6jPwUTWBXXl+8ThAOTPvAlrwT53vLxWJ2GlEVU2V0hp6mJwqs1B2V3zsC4/iOKlJ2jGRRiHJ7ZAhUIIITydxteI18R/BJfx/wgukz6maNJHVH24GkfdxA7fum6hs85JQVEgZ0clE/f154uwcdTE9cVZW0HuO1eg2q1ufoUtT8JKI6otru6fpnQDqapKxePz/25RefdijIPjW6pEIYQQbUh9cHnjQsKX30HAixNdwUWvxb67iKqXl1B4+ruUXPsVNXO2QJWlvlvIz9+IT62J0/f15/2om9H4BGE5sI6i2Y+6+2W1OAkrjaixuJY/Dg458bBS9doyauduA41C4MvnyW7JQgghjknjY8Dr3O6u4LLkNvyfnIB+YCyoYF2TScV/f6dg9NuU3vUD0QdKuGvacOK7BKJTtfjsiWVZygwc6Cj97WWqt/7u7pfToiSsNMJsc80ACvjHng0NqZ23ner3VgHg/8QETGO7tFhtQggh2g9NgAnvS/oS8ukUwv64Gd+7R6PrEgpWB5b5uymbNpeac2dyVXEtvv6lqKqTHQdM/BbzIdVKCHnvX4u9LM/dL6PFSFhpgIqCw+la8tjf//hhxbYjn/LH5wPgc8tQvC/u06L1CSGEaJ+0MQH43jSEkB+uJeS7a/C+bhCacF/UCjO1X23i5m/zuHB9Gn0yiygt82Vu4Otk1kSQ98G1qE6nu8tvEbLOSgNUXEHF21uP3qBt9FxnWS1l//4BLHYMo5LwvWNEa5QohBCiHVMUBX23cPTdwvG7ZzTW1RnUfrcV84I9dCp20Km4kLFpRewN92V79IMU7p7DuF9fIeTc+9xderOTsNIAp+JqdPrntt3/pKoq5U/Mx5FdjjYugMAXJqJopcFKCCFE81G0mvpdop1ltcyb8R2Bv2XQrUBHSl4lKXmVVJhGsCWrilS/vwgafZq7S25W8qnagEMtK8cLK+Yfd2CZvxt0GgJfOR/NCY5vEUIIIU6GJtCLfrefxdRryrny6nIcl/TA4a3H32yn+0ETtf9aQ+61s7D8tR/V0T66hSSsNECte2saG1zryK2g4tmFAPjeNhx9T9k9WQghRMtL8AthVHQXdkXYmXWBnujld2C9ZzhZwQY0gLImm9Jb51B09gdUfbAaZ0mNu0s+JRJWGnAorPj6NrwnUMXzi1ArLej7ROFz45DWKk0IIYTgyuTBAHy1ey0OvUL8jSNIeGsAPw2zsz4hGLNOgyOrnKpXllAwdgZl9/+EdX3WcTdV9EQSVhpwKKx4N7CBoWXpASx/7AGtgv/TZ6Lo5K0UQgjReibE9yDE5EN+bSWLs3cDENZ3JOefp1KYuJb3xnTl915RlEf6gc2B+eedlFz1JcWTP6Hmu62oFrubX8GJk0/YBqh1O2J6e+uPfsxqp+LZBa7HrxqAvmtYq9YmhBBCGLQ6JnfuB8DXe9bVHw87/0HGJ+5lmPktdsb48WHfWH4/rweac7uDSYd9VyEVj/5G4envUvXWchxF1e56CSdMwkoD6ltWvI9uWan5dguOjDI0oT743i7TlIUQQrjHpV0GAvBHxk6KzVUAKBotkTd/QnfDRs6t+A/eOgvbrSpvG/VUfXApvveORhPph7O4hqq3VlA4/l3KH/kV264Cd76URklYaUBD3UDOGivVM1YCrkG1mga6iYQQQoiW1j04kr6hsdhVJ9/v21R/XB8UQ+SNM4lwpHF+0W1EhSjUVNv44ItNbEmJIPS3Gwl4aSL63lFgc1D7/TaKL/yEkuu+xrx4H6rTs8a1SFhpgMqxu4FqZm3EWVyDNjYAr8m93VGaEEIIUe/SLgMA+GrPuiMGz/qmTiRw/O34qkWcU3g7fXuH4HSqzJ2zje++34F+QgohX08leNYVmM5MAY2CdXUGZbd9R9HED6mZswXV6hnjWiSsNOBYLSuq1UHNZ+sB8Ll1OMpxVrYVQgghWtoFnfpi1OpIK81ja3H2EY+FXvZ/GKJ7oJRnclrFC5wzsRuKAmtWZfDe26uoqrJgSI0hcPr5hP1+E97XDULxM+I4WErFf3+n8Mz3qf54Lc5qq5tenYuElePw8vp7kV/zb2k4C6vRhPngdW53N1YlhBBCuAQavTkrvicAX+9Zf8RjGoMXkbd8Blo9NZvmkar9k+tuGozJpOPggRLefHU5BfmusS7amAD87x9D2KJ/4Xf/GDRhPjjzq6h8YTGF49+l8o1lOEvds16LhJVGKIqKTudqPVFVlepPXKOtva/sL60qQgghPMalXV1dQXP3b8Jstx3xmCkhldCLnwWgcNY9dAoq4/a7RhAc4k1JcQ1vvrqMPbuL6s/X+BjwuW4QYX/cjP9TZ6KND0StMFP9zkoKT3+Piv8twpFb0XovDgkrjdJp/16m2LYlF/vOAjDp8L60rxurEkIIIY40MqoLUd4BlFtrmZ+x46jHg868G6/u41CtNeS+ezXhISbuuGsEiUlBmM12Pnx3NatXph/xHMWgw/viPoT+fAMBL5+Hrns4aq2Nms/WU3jm+5Q/9jv27PJWeX0SVhqhPSys1P6wHQDTmSloAr3cVZIQQghxFK1GU9+68vXe9Uc9rmg0RN70ERqfICwH1lL8w1P4+hq56dahpPaPxulUmfPNVn6etwPnP2YCKVoNXmd3I2T21QS9dzGGwXFgd1I7ewtFZ39A+eO/42jh0CJhpRE6res/mGq1Y/4lDQCv83u6syQhhBDimC6pmxW0JHsPOVVlRz2uD44l4pp3ACj56Xlqdy9Dr9cyZWo/zjgrGYC//tzPZx+vw3qM1W0VRcE4Mongjy8n+PMpGIYluELLt1soPPsDyp+YjyOnZbqHPDKsOJ1OXn/9dUaNGkVqaio33XQTmZmZJ/TcefPmkZKSQlZW1inXcagbyPLXftQKM5pIP1eiFEIIITxMon8IQyKSUFGZvW/DMc/xG3wJ/iOuBtVJ7rtX46gpR1EUzjgzmSlT+6HVati+NZ933lxJebm5wXsZ+scS/OGlBH82BcPQeFdo+WYzhWe9j7O0ttlfm0eGlbfffptZs2bx9NNP89VXX+F0OrnxxhuxWhufOpWdnc1TTz3VbHXodK6wYl64B3B1ASlaj3zLhBBCCC7v6lrR9us96xvcsDBs6mvow5KwF6dT8Nmd9cf7DYjhltuG4uNjIDurnDenLyPnON07hgGxBM+8jOBPp2AY4gotagtMc/a4T16r1crMmTOZNm0aY8aMoVu3bkyfPp28vDzmz5/f4POcTif3338/PXs2XzeNVquiOpxYlhwAwDSuS7NdWwghhGhu5yb2xkdnIL2ymNX5B455jtbLn8ibPwVFQ+XKL6hY9VX9Y4mdgrnjrhGER/hSXm7m7TdWsHtX4XHvaxgYS/BHlxH86eUoRt1xz28qjwsraWlpVFdXM2zYsPpj/v7+9OjRg7Vr1zb4vBkzZmCz2bjllluarRadVsW2OQe1rBbF34S+X0yzXVsIIYRobt56AxOT+gDw7TEG2h7i1XU4wec/AkDBJ7dhK86ofywk1Ifb/z2Czl1CsFoczHxvDevXntjQCsPAODRhPqfwCo6t+ePPKcrLywMgKirqiOPh4eH1j/3Tli1bmDlzJrNnzyY/P/+E7jN+/PgGH8vKykJRNHw+ezo/zHkDp8OCYtGjOXPuib0IIYQQwk0sDjteNRX8pMxno+87KHXbxxyLvSwZ1WZBmXAWusCoox6vqrJitdj5fSF4eevx8tIf4ypHys3NRatt3rXIPC6s1Na6BuYYDEduEGg0GikvP7rvrKamhvvuu4/77ruPxMTEEw4rx6OqTvwDfAHQ+pua5ZqiYbm5ucDRIVW0HHnPW5+8562vI77nRq2OeL/gEzpXFxjd6OO+vgbwbdqGvQ6HA6fTefwTm8DjworJ5AoGVqu1/nsAi8WCl9fR65s888wzJCUlcfnllzfpPgsXLmzwsUOtLo2dI5qXvOetT97z1ifveeuT97z1NdZzcbI8LqwcSr8FBQXEx8fXHy8oKCAlJeWo8+fMmYPBYKBfv36AK9EBTJw4kX/961/861//aoWqhRBCCNFSPC6sdOvWDV9fX1avXl0fVioqKtixYwdTp0496vx/zhDavHkz999/P++99x7JycmtUrMQQgghWo7HhRWDwcDUqVN56aWXCA4OJiYmhhdffJHIyEgmTJiAw+GgpKQEPz8/TCYTCQkJRzz/0CDc6OhoAgMD3fAKhBBCCNGcPG7qMsC0adO4+OKLefTRR5kyZQparZYPP/wQvV5Pbm4uI0eO5JdffnF3mUIIIYRoBR7XsgKg1Wq5//77uf/++496LDY2ll27djX43CFDhjT6uBBCCCHaFo9sWRFCCCGEOERRG9o8QAghhBDCA0jLihBCCCE8moQVIYQQQng0CStCCCGE8GgSVoQQQgjh0SSsCCGEEMKjdciw4nQ6ef311xk1ahSpqancdNNNZGZmNnh+aWkp9957L4MGDWLw4ME8+eST9btDixPT1Pd8z5493HzzzQwZMoRhw4Yxbdo0cnJyWrHitq+p7/nh5s2bR0pKCllZWS1cZfvS1PfcZrPx8ssv158/depUdu7c2YoVt31Nfc+Li4u59957GTp0KEOGDOHuu+8mPz+/FStuX959912uuuqqRs9pjs/QDhlW3n77bWbNmsXTTz/NV199hdPp5MYbb8RqtR7z/GnTppGens7HH3/Ma6+9xl9//cUTTzzRukW3cU15z0tLS7nuuuswmUx89tlnvP/++5SUlHDjjTdisVjcUH3b1NS/54dkZ2fz1FNPtVKV7UtT3/MnnniC7777jueee445c+YQHBzMTTfdRGVlZStX3nY19T2/6667yMnJ4aOPPuKjjz4iJyeH22+/vZWrbh+++OILXn311eOe1yyfoWoHY7FY1H79+qlffPFF/bHy8nK1T58+6o8//njU+Rs2bFCTk5PVvXv31h9bunSpmpKSoubl5bVKzW1dU9/zb775Ru3Xr59aW1tbfywnJ0dNTk5WV6xY0So1t3VNfc8PcTgc6pQpU9Srr75aTU5OVjMzM1uj3Hahqe95RkaGmpKSov75559HnD927Fj5e36Cmvqel5eXq8nJyerChQvrjy1YsEBNTk5WS0tLW6PkdiEvL0+95ZZb1NTUVPWss85Sp06d2uC5zfUZ2uFaVtLS0qiurmbYsGH1x/z9/enRowdr16496vx169YRFhZG586d648NHjwYRVFYv359q9Tc1jX1PR82bBhvv/02JpOp/phG4/qrWlFR0fIFtwNNfc8PmTFjBjabjVtuuaU1ymxXmvqeL1++HD8/P0aPHn3E+YsWLTriGqJhTX3PTSYTPj4+zJ07l6qqKqqqqvjhhx9ISkrC39+/NUtv07Zv345er2fevHn07du30XOb6zPUI/cGakmHdmWOioo64nh4eHj9Y4fLz88/6lyDwUBgYCC5ubktV2g70tT3PDY2ltjY2COOvffee5hMJgYNGtRyhbYjTX3PAbZs2cLMmTOZPXu29OGfhKa+5wcOHCAuLo758+fz3nvvkZ+fT48ePXjooYeO+IddNKyp77nBYOD555/nscceY+DAgSiKQnh4OJ9//nn9L0Ti+MaNG8e4ceNO6Nzm+gztcP91Dg3qMRgMRxw3Go3HHA9RW1t71LmNnS+O1tT3/J8+++wzPv/8c+677z6Cg4NbpMb2pqnveU1NDffddx/33XcfiYmJrVFiu9PU97yqqor09HTefvtt7rnnHt555x10Oh1XXHEFxcXFrVJzW9fU91xVVXbu3Em/fv344osv+OSTT4iOjua2226jqqqqVWruaJrrM7TDhZVDXQv/HHxlsVjw8vI65vnHGqhlsVjw9vZumSLbmaa+54eoqsqrr77KM888w6233nrcEefib019z5955hmSkpK4/PLLW6W+9qip77lOp6Oqqorp06czcuRI+vTpw/Tp0wH4/vvvW77gdqCp7/mvv/7K559/zosvvsiAAQMYPHgwM2bMIDs7m9mzZ7dKzR1Nc32Gdriwcqg5qqCg4IjjBQUFREREHHV+ZGTkUedarVbKysoIDw9vuULbkaa+5+Ca0nn//fczY8YMHn74Ye66666WLrNdaep7PmfOHFasWEG/fv3o168fN910EwATJ05kxowZLV9wO3Ay/7bodLojunxMJhNxcXEyZfwENfU9X7duHUlJSfj6+tYfCwgIICkpifT09JYttoNqrs/QDhdWunXrhq+vL6tXr64/VlFRwY4dO445HmLQoEHk5eUd8Rd5zZo1AAwYMKDlC24HmvqeAzzwwAP89ttvvPzyy1x77bWtVGn70dT3fP78+fz000/MnTuXuXPn8swzzwCusULS2nJiTubfFrvdztatW+uPmc1mMjMzSUhIaJWa27qmvueRkZGkp6cf0f1QU1NDVlaWdH+2kOb6DO1wA2wNBgNTp07lpZdeIjg4mJiYGF588UUiIyOZMGECDoeDkpIS/Pz8MJlM9O3bl/79+3P33XfzxBNPUFNTw2OPPcakSZMabBUQR2rqe/7dd9/xyy+/8MADDzB48GAKCwvrr3XoHNG4pr7n//xwPDQ4MTo6msDAQDe8granqe/5wIEDGT58OA8++CBPPfUUgYGBvP7662i1Wi644AJ3v5w2oanv+aRJk/jwww+56667+Pe//w3Aq6++itFoZPLkyW5+Ne1Di32GnsJU6zbLbrerL7zwgjp06FA1NTVVvemmm+rXk8jMzFSTk5PVOXPm1J9fVFSk3nnnnWpqaqo6ZMgQ9fHHH1fNZrO7ym+TmvKeX3fddWpycvIx/xz+30U0rql/zw+3atUqWWflJDT1Pa+srFQff/xxdciQIWrfvn3V6667Tt2zZ4+7ym+Tmvqe7927V73lllvUwYMHq0OHDlXvuOMO+Xt+Ch588MEj1llpqc9QRVVVteUylhBCCCHEqelwY1aEEEII0bZIWBFCCCGER5OwIoQQQgiPJmFFCCGEEB5NwooQQgghPJqEFSGEEEJ4NAkrQgghhPBoElaEEEII4dEkrAgh2o3vvvvuiH1ihBDtg6xgK4Ro83788Ue0Wi1ms5no6Gj27NlDly5dGDZsmLtLE0I0AwkrQog2z+Fw8Pnnn/Pdd99hMpmYMmUKkyZNcndZQohmIt1AQoh2QVGU+q9ardbN1QghmpO0rAgh2rwff/wRjUaDxWIhOjqa3bt307VrV+kGEqKdkLAihGg3vvvuO2JiYhgyZIi7SxFCNCMJK0IIj7Zq1SpeeOEF9u/fD8CYMWN4+umn8fPzc3NlQojWImNWhBAe69tvv+W6666jU6dO3H///Zx22mn8+uuvPPfcc+4uTQjRiqRlRQjhkfbt28f555/PQw89xFVXXVV/fOrUqWzZsoUNGzag0+ncWKEQorVIy4oQwiO9+eabpKSkMHXq1COODxw4EIvFQnl5uZsqE0K0NgkrQgiPY7fb+euvvzjzzDPrpyQfUltbi6Io+Pr6uqk6IURrk7AihPA4O3bsoLq6mm7duh312M6dO+nWrRtGo9ENlQkh3EHCihDC4+zcuRMAb2/vI44XFBSwYcMGTj/9dHeUJYRwEwkrQgiPs2vXLgDWrFlTf8xut/PEE0/g6+vL5Zdf7q7ShBBuIEPphRAeZ/fu3XTp0oUZM2ZQW1tLWFgYv/zyC1u3buX1118nNDTU3SUKIVqRhBUhhMfZvXs3V1xxBdHR0bz99tsUFxfTs2dPPvzwQ1lCX4gOSMKKEMKj5ObmUl5eTpcuXZg4cSKXXnqpu0sSQriZjFkRQniU3bt3A9ClSxc3VyKE8BQSVoQQHmXXrl1otVo6derk7lKEEB5CwooQwqPs2rWLuLg4DAaDu0sRQngI2RtICCGEEB5NWlaEEEII4dEkrAghhBDCo0lYEUIIIYRHk7AihBBCCI8mYUUIIYQQHk3CihBCCCE8moQVIYQQQng0CStCCCGE8GgSVoQQQgjh0SSsCCGEEMKjSVgRQgghhEeTsCKEEEIIj/b/Y/F4hW4zs1IAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 1, figsize=(6, 10))\n", "\n", "for i, (e, data) in enumerate(diagrams6.items()):\n", " color = colors[i]\n", " sns.lineplot(data=data, ax=ax[0], x='density vapor', y='temperature', color=color, label=f\"{e[0]}-{e[1]}\")\n", " sns.lineplot(data=data, ax=ax[0], x='density liquid', y='temperature', color=color)\n", "\n", "ax[0].set_ylim(0.5, 2.0)\n", "ax[0].set_xlim(0., 1.)\n", "ax[0].legend(frameon=False);\n", "ax[0].set_xlabel(r\"$\\rho^*$\")\n", "ax[0].set_ylabel(r\"$T^*$\")\n", "\n", "for i, (e, data) in enumerate(other_diagrams.items()):\n", " color = colors[i]\n", " sns.lineplot(data=data, ax=ax[1], x='density vapor', y='temperature', color=color, label=f\"{e[0]}-{e[1]}\")\n", " sns.lineplot(data=data, ax=ax[1], x='density liquid', y='temperature', color=color)\n", "\n", "ax[1].set_ylim(0.4, 1.4)\n", "ax[1].set_xlim(0., 1.)\n", "ax[1].set_xlabel(r\"$\\rho^*$\")\n", "ax[1].set_ylabel(r\"$T^*$\")\n", "ax[1].legend(frameon=False);" ] }, { "cell_type": "code", "execution_count": 25, "id": "bb96f7f6-3906-4eee-a20c-176116e94bc3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "for i, (e, data) in enumerate(diagrams6.items()):\n", " color = colors[i]\n", " sns.lineplot(data=data, ax=ax, y='pressure', x='temperature', color=color, label=f\"{e[0]}-{e[1]}\")\n", "\n", "ax.set_ylim(0.0, 0.2)\n", "ax.set_xlim(0.4, 1.6)\n", "ax.legend(frameon=False)\n", "ax.set_ylabel(r\"$p^*$\")\n", "ax.set_xlabel(r\"$T^*$\");" ] }, { "cell_type": "markdown", "id": "292f8998-40f9-41d0-87b6-04c1d2911c72", "metadata": {}, "source": [ "# Lennard-Jones chains" ] }, { "cell_type": "code", "execution_count": 26, "id": "cfe21a10-e0a2-4528-8661-437af1b7a7dd", "metadata": {}, "outputs": [], "source": [ "def sample_chains(inputs, npoints):\n", " \"\"\"Inputs: List[(m, lr, la)]\"\"\"\n", " to_reduced_density = MOL / METER**3 * NAV * ANGSTROM**3\n", " to_reduced_pressure = PASCAL * ANGSTROM**3 / KB / KELVIN\n", " \n", " result = {}\n", " for (m, lr, la) in inputs:\n", " record = SaftVRMieRecord(m, 1.0, 1.0, lr, la) \n", " eos = EquationOfState.saftvrmie(SaftVRMieParameters.from_model_records([record]))\n", " cp = State.critical_point(eos)\n", " try:\n", " dia = PhaseDiagram.pure(eos, 0.4 * cp.temperature, npoints)\n", " df = pd.DataFrame(dia.to_dict(Contributions.Residual))\n", " df['density liquid'] *= to_reduced_density * m\n", " df['density vapor'] *= to_reduced_density * m\n", " df['pressure'] *= to_reduced_pressure\n", " except:\n", " dia = PhaseDiagram.pure(eos, 0.8 * cp.temperature, npoints)\n", " df = pd.DataFrame(dia.to_dict(Contributions.Residual))\n", " df['density liquid'] *= to_reduced_density * m\n", " df['density vapor'] *= to_reduced_density * m\n", " df['pressure'] *= to_reduced_pressure\n", " result.update({(m, lr, la): df})\n", " return result" ] }, { "cell_type": "code", "execution_count": 27, "id": "5702c6e7-0b80-4076-9517-7c21de635e58", "metadata": {}, "outputs": [], "source": [ "lj_chains_input = [\n", " (1, 12, 6),\n", " (2, 12, 6),\n", " (4, 12, 6),\n", " (8, 12, 6)\n", "]" ] }, { "cell_type": "code", "execution_count": 28, "id": "3f4ebcf7-2de0-482a-9a61-46c9b4186047", "metadata": {}, "outputs": [], "source": [ "lj_chains = sample_chains(lj_chains_input, 250)" ] }, { "cell_type": "code", "execution_count": 29, "id": "5e17281f-599d-47ca-b2e5-59d57fca2ccc", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "\n", "for i, (e, data) in enumerate(lj_chains.items()):\n", " color = colors[i]\n", " sns.lineplot(data=data, ax=ax, x='density vapor', y='temperature', color=color, \n", " label=f\"m: {e[0]} ({e[1]}-{e[2]})\")\n", " sns.lineplot(data=data, ax=ax, x='density liquid', y='temperature', color=color)\n", "\n", "ax.set_ylim(1.0, 3.5)\n", "ax.set_xlim(0., 1.)\n", "ax.legend(frameon=False);\n", "ax.set_xlabel(r\"$\\rho_s^*$\")\n", "ax.set_ylabel(r\"$T^*$\");" ] }, { "cell_type": "code", "execution_count": 30, "id": "07134921-bba6-416e-9b95-1f5a3a6075c2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "for i, (e, data) in enumerate(lj_chains.items()):\n", " color = colors[i]\n", " sns.lineplot(data=data, ax=ax, y='pressure', x='temperature', color=color, label=f\"m: {e[0]} ({e[1]}-{e[2]})\")\n", "\n", "ax.set_ylim(0.0, 0.16)\n", "ax.set_xlim(0.5, 3.5)\n", "ax.legend(frameon=False)\n", "ax.set_ylabel(r\"$p^*$\")\n", "ax.set_xlabel(r\"$T^*$\");" ] }, { "cell_type": "markdown", "id": "4bda8be1-12a4-4e63-a0de-15e562aeec7d", "metadata": {}, "source": [ "# Long LJ chains" ] }, { "cell_type": "code", "execution_count": 31, "id": "19456823-3b5a-4e2d-8ddf-46f6fb13edd4", "metadata": {}, "outputs": [], "source": [ "lj_long_chains_input = [\n", " (1, 12, 6),\n", " (2, 12, 6),\n", " (4, 12, 6),\n", " (8, 12, 6),\n", " (20, 12, 6),\n", " (50, 12, 6),\n", " (100, 12, 6)\n", "]" ] }, { "cell_type": "code", "execution_count": 32, "id": "3b105a00-2c89-4703-abb4-f38e8be7d818", "metadata": {}, "outputs": [], "source": [ "lj_long_chains = sample_chains(lj_long_chains_input, 250)" ] }, { "cell_type": "code", "execution_count": 33, "id": "4b468940-c7ec-439a-9c90-623c406214f3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "\n", "for i, (e, data) in enumerate(lj_long_chains.items()):\n", " color = colors[i]\n", " sns.lineplot(data=data, ax=ax, x='density vapor', y='temperature', color=color, \n", " label=f\"m: {e[0]} ({e[1]}-{e[2]})\")\n", " sns.lineplot(data=data, ax=ax, x='density liquid', y='temperature', color=color)\n", "\n", "ax.set_ylim(1.0, 4.5)\n", "ax.set_xlim(0., 0.8)\n", "ax.legend(frameon=False);\n", "ax.set_xlabel(r\"$\\rho_s^*$\")\n", "ax.set_ylabel(r\"$T^*$\");" ] }, { "cell_type": "code", "execution_count": 34, "id": "c5b5cfd0-8b9a-45b3-88f4-040a4fa9785c", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1)\n", "for i, (e, data) in enumerate(lj_long_chains.items()):\n", " color = colors[i]\n", " sns.lineplot(data=data, ax=ax, y='pressure', x=1/data.temperature, color=color, label=f\"m: {e[0]} ({e[1]}-{e[2]})\")\n", "\n", "#ax.set_ylim(0.0, 0.16)\n", "ax.set_xlim(0.2, 1.0)\n", "ax.legend(frameon=False)\n", "ax.set_yscale(\"log\")\n", "ax.set_ylabel(r\"$\\ln p^*$\")\n", "ax.set_xlabel(r\"$1 / T^*$\");" ] }, { "cell_type": "markdown", "id": "0b86182c-bdff-4568-9c68-33cee035f69b", "metadata": {}, "source": [ "# Associating LJ sites ($r^c_{ab} = 0.2 \\sigma$, $r^d_{ab} = 0.4 \\sigma$)\n", "\n", "- Note: $r^d_{ab} = 0.4 \\sigma$ is set as constant that cannot be changed." ] }, { "cell_type": "code", "execution_count": 64, "id": "aa55d6f2-11b3-472a-8e74-1cab14481306", "metadata": {}, "outputs": [], "source": [ "def sample_association(inputs, npoints):\n", " \"\"\"Inputs: List[(lr, la, eps_k_ab)]\"\"\"\n", " to_reduced_density = MOL / METER**3 * NAV * ANGSTROM**3\n", " to_reduced_pressure = PASCAL * ANGSTROM**3 / KB / KELVIN\n", " \n", " result = {}\n", " for (lr, la, eps_k_ab) in inputs:\n", " record = SaftVRMieRecord(1.0, 1.0, 1.0, lr, la, rc_ab=0.2, epsilon_k_ab=eps_k_ab, na=1.0, nb=1.0) \n", " eos = EquationOfState.saftvrmie(SaftVRMieParameters.from_model_records([record]))\n", " cp = State.critical_point(eos)\n", " dia = PhaseDiagram.pure(eos, 0.6 * cp.temperature, npoints)\n", " df = pd.DataFrame(dia.to_dict(Contributions.Residual))\n", " df['density liquid'] *= to_reduced_density\n", " df['density vapor'] *= to_reduced_density\n", " df['pressure'] *= to_reduced_pressure\n", " result.update({(lr, la, eps_k_ab): df})\n", " return result" ] }, { "cell_type": "code", "execution_count": 65, "id": "af1c8e61-5a36-4747-9963-8e550934bca0", "metadata": {}, "outputs": [], "source": [ "assoc_inputs = [\n", " (12, 6, 10),\n", " (12, 6, 20),\n", "]" ] }, { "cell_type": "code", "execution_count": 66, "id": "cac78d6c-9981-40cb-98e6-4f82ef01b59c", "metadata": {}, "outputs": [], "source": [ "lj_assoc = sample_association(assoc_inputs, 250)" ] }, { "cell_type": "code", "execution_count": 67, "id": "ada2deed-eb86-45ea-b32c-158343f65906", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(5,5))\n", "\n", "for i, (e, data) in enumerate(lj_assoc.items()):\n", " color = colors[i]\n", " sns.lineplot(data=data, ax=ax, x='density vapor', y='temperature', color=color, \n", " label=f\"$\\epsilon$: {e[2]} ({e[0]}-{e[1]})\")\n", " sns.lineplot(data=data, ax=ax, x='density liquid', y='temperature', color=color)\n", "\n", "ax.set_ylim(1.0, 1.8)\n", "ax.set_xlim(0., 0.8)\n", "ax.legend(frameon=False);\n", "ax.set_xlabel(r\"$\\rho_s^*$\")\n", "ax.set_ylabel(r\"$T^*$\");" ] }, { "cell_type": "markdown", "id": "fc248c3c-40e4-4ae6-8744-4eecae1fd8e8", "metadata": {}, "source": [ "# Compare critical data" ] }, { "cell_type": "code", "execution_count": 39, "id": "2a708b74-70bf-45fe-91bc-0c395f3f4506", "metadata": {}, "outputs": [], "source": [ "critical_data = pd.read_csv(\"lafitte_critical_data.csv\")\n", "path = \"../../parameters/saftvrmie/lafitte2013.json\"\n", "\n", "result = [] \n", "for _, row in critical_data.iterrows():\n", " p = SaftVRMieParameters.from_json([row.substance], path)\n", " eos = EquationOfState.saftvrmie(p)\n", " cp = State.critical_point(eos)\n", " try:\n", " cp.is_stable()\n", " except:\n", " cp = State.critical_point(eos, initial_temperature=600*KELVIN)\n", " cp.is_stable()\n", " tc = row.tc * KELVIN\n", " pc = row.pc * MEGA * PASCAL\n", " rhoc = row.rhoc * KILOGRAM / METER**3\n", " tce = row.tc_exp * KELVIN\n", " pce = row.pc_exp * MEGA * PASCAL\n", " rhoce = row.rhoc_exp * KILOGRAM / METER**3\n", " result.append(\n", " {\n", " \"substance\": row.substance,\n", " r\"$\\Delta T_c$ / %\": (tc - cp.temperature) / tc * 100,\n", " r\"$\\Delta p_c$ / %\": (pc - cp.pressure()) / pc * 100,\n", " r\"$\\Delta \\rho_c$ / %\": (rhoc - cp.mass_density()) / rhoc * 100,\n", " #r\"$\\Delta T_c^\\text{exp}$ / %\": (tce - cp.temperature) / tc * 100,\n", " #r\"$\\Delta p_c^\\text{exp}$ / %\": (pce - cp.pressure()) / pc * 100,\n", " #r\"$\\Delta \\rho_c^\\text{exp}$ / %\": (rhoce - cp.mass_density()) / rhoc * 100,\n", " }\n", " )" ] }, { "cell_type": "code", "execution_count": 40, "id": "56134983-54f3-4cea-b48b-85f0cd257d92", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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substance$\\Delta T_c$ / %$\\Delta p_c$ / %$\\Delta \\rho_c$ / %
0methane0.0742350.3496240.408159
1ethane0.0636850.3030400.262340
2propane0.0546260.2187710.244391
3n-butane0.0493220.3226330.376631
4pentane0.0412640.3724200.452599
5hexane0.0325690.4257170.466502
6heptane0.0217990.2368020.516342
7octane0.0133820.3960970.520532
8nonane0.0098230.2047640.479280
9decane0.0060190.2362390.470530
10dodecane0.0013220.0714820.088943
11pentadecane0.0010820.2258680.086090
12eicosane0.000570-0.1604320.085698
13methanol0.1834070.0273260.047228
14ethanol0.0000550.0513590.056039
151-propanol0.0015040.0144850.063254
161-butanol0.001073-0.0068790.065317
17tetrafluoromethane [r14]-0.0011830.0959500.009225
18hexafluoroethane [r116]0.001738-0.1203700.017759
19perfluoropropane [r218]0.000942-0.0944400.018019
20perfluorobutane0.0011990.1104240.020914
21perfluoropentane0.0009910.0027250.021134
22fluorine0.002474-0.0170370.000084
23carbon dioxide0.001593-0.0343930.046387
24benzene0.001097-0.0765230.085332
25toluene0.0010270.0713430.083596
\n", "
" ], "text/plain": [ " substance $\\Delta T_c$ / % $\\Delta p_c$ / % \\\n", "0 methane 0.074235 0.349624 \n", "1 ethane 0.063685 0.303040 \n", "2 propane 0.054626 0.218771 \n", "3 n-butane 0.049322 0.322633 \n", "4 pentane 0.041264 0.372420 \n", "5 hexane 0.032569 0.425717 \n", "6 heptane 0.021799 0.236802 \n", "7 octane 0.013382 0.396097 \n", "8 nonane 0.009823 0.204764 \n", "9 decane 0.006019 0.236239 \n", "10 dodecane 0.001322 0.071482 \n", "11 pentadecane 0.001082 0.225868 \n", "12 eicosane 0.000570 -0.160432 \n", "13 methanol 0.183407 0.027326 \n", "14 ethanol 0.000055 0.051359 \n", "15 1-propanol 0.001504 0.014485 \n", "16 1-butanol 0.001073 -0.006879 \n", "17 tetrafluoromethane [r14] -0.001183 0.095950 \n", "18 hexafluoroethane [r116] 0.001738 -0.120370 \n", "19 perfluoropropane [r218] 0.000942 -0.094440 \n", "20 perfluorobutane 0.001199 0.110424 \n", "21 perfluoropentane 0.000991 0.002725 \n", "22 fluorine 0.002474 -0.017037 \n", "23 carbon dioxide 0.001593 -0.034393 \n", "24 benzene 0.001097 -0.076523 \n", "25 toluene 0.001027 0.071343 \n", "\n", " $\\Delta \\rho_c$ / % \n", "0 0.408159 \n", "1 0.262340 \n", "2 0.244391 \n", "3 0.376631 \n", "4 0.452599 \n", "5 0.466502 \n", "6 0.516342 \n", "7 0.520532 \n", "8 0.479280 \n", "9 0.470530 \n", "10 0.088943 \n", "11 0.086090 \n", "12 0.085698 \n", "13 0.047228 \n", "14 0.056039 \n", "15 0.063254 \n", "16 0.065317 \n", "17 0.009225 \n", "18 0.017759 \n", "19 0.018019 \n", "20 0.020914 \n", "21 0.021134 \n", "22 0.000084 \n", "23 0.046387 \n", "24 0.085332 \n", "25 0.083596 " ] }, "execution_count": 40, "metadata": {}, "output_type": "execute_result" } ], "source": [ "pd.DataFrame(result)" ] }, { "cell_type": "markdown", "id": "fcb01a9c-0c60-41c9-8493-50ae890f2c77", "metadata": {}, "source": [ "# Binary Phase Diagrams of Ethane + n-Decane" ] }, { "cell_type": "code", "execution_count": 73, "id": "e96a4fd1-4238-423b-b8ed-86ce4e5b726d", "metadata": {}, "outputs": [ { "data": { "text/markdown": [ "|component|molarweight|$m$|$\\lambda_r$|$\\lambda_a$|$\\sigma$|$\\varepsilon$|$r^c_{AB}$|$\\varepsilon_{AB}$|$N_A$|$N_B$|$N_C$|\n", "|-|-|-|-|-|-|-|-|-|-|-|-|\n", "|ethane|30.047|1.4373|12.4|6|3.7257|206.12|0|0|0|0|0|\n", "|decane|142.172|2.9976|18.885|6|4.589|400.79|0|0|0|0|0|" ], "text/plain": [ "" ] }, "execution_count": 73, "metadata": {}, "output_type": "execute_result" } ], "source": [ "path = \"../../parameters/saftvrmie/lafitte2013.json\"\n", "p = SaftVRMieParameters.from_json([\"ethane\", \"decane\"], path)\n", "p = SaftVRMieParameters.new_binary(p.pure_records, -0.0222)\n", "p" ] }, { "cell_type": "code", "execution_count": 76, "id": "c2ccaba3-88ec-4c83-990c-170fe1951e5c", "metadata": {}, "outputs": [], "source": [ "eos = EquationOfState.saftvrmie(p)" ] }, { "cell_type": "code", "execution_count": 97, "id": "d8ac99d0-e4ce-4775-8067-025b72032806", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "for i, t in enumerate([444.15*KELVIN, 511.15*KELVIN]):\n", " color = colors[i]\n", " dia = PhaseDiagram.binary_vle(eos, t, npoints=50)\n", " df = pd.DataFrame(dia.to_dict(Contributions.Residual))\n", " df.pressure = df.pressure * (PASCAL / MEGA / PASCAL)\n", " sns.lineplot(data=df, x=\"x0\", y=\"pressure\", sort=False, color=color)\n", " sns.lineplot(data=df, x=\"y0\", y=\"pressure\", sort=False, color=color, label=f\"T={t}\")\n", "\n", "plt.title(\"ethane + n-decane, $k_{ij} = -0.0222$\")\n", "plt.legend(frameon=False)\n", "plt.xlabel(r\"$x_\\mathrm{C_2H_6}$\")\n", "plt.ylabel(\"$P$ / MPa\")\n", "plt.xlim(0, 1)\n", "plt.ylim(0, 20);" ] } ], "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": "3.11.5" } }, "nbformat": 4, "nbformat_minor": 5 }