{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# EOSGenerators module guide\n", "\n", "## RMF EOS \n", "\n", "First import all of the package that will be used here." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import EOSgenerators.crust_EOS as crust\n", "import EOSgenerators.RMF_EOS as RMF\n", "import EOSgenerators.Polytrope_EOS as Polytrope\n", "import EOSgenerators.Strangeon_EOS as Strangeon\n", "import TOVsolver.main as main\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import math\n", "from TOVsolver.unit import g_cm_3, dyn_cm_2, km, Msun, MeV, fm\n", "from TOVsolver.maxium_central_density import maxium_central_density" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (a) Load crust EOS and prepare interface EOS\n", "\n", "Define constants, and load the crust EOS into this notebook, since when we solve the equation of state to TOV equation, we need full scope of the equation of state. Here, crust eos file is 'Tolos_crust_out.txt', while we need to times g_cm_3 for energy density and dyn_cm_2 for pressure, that will be easier for treatment, no need worry about G and c.\n", "\n", "Then just connect the crust part with the interface part(the part between core equation of state and crust) by a PolyInterpolate function" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "Tolos_crust_out = np.loadtxt(\"Test_Case/Tolos_crust_out.txt\")\n", "eps_crust_T_out = Tolos_crust_out[:, 3] * g_cm_3\n", "pres_crust_T_out = Tolos_crust_out[:, 4] * dyn_cm_2\n", "eps_com, pres_com = crust.PolyInterpolate(eps_crust_T_out, pres_crust_T_out)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Example of RMF" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (b) Defining the paramters\n", "\n", "Defining the free prameters that we need to compute the equation of state, you could check our intro part of documentation or just check the original paper of us about details. [Huang et al,2023](https://arxiv.org/abs/2303.17518)\n", "\n", "After defined the equation of state parameters, we could call the 'compute_EOS' function from RMF, to compute full core equation of state." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "m_sig = 495.0 / 197.33\n", "m_w = 3.96544\n", "m_rho = 3.86662\n", "\n", "g_sigma = math.sqrt(107.5751)\n", "g_omega = math.sqrt(182.3949)\n", "g_rho = math.sqrt(206.4260)\n", "\n", "kappa = 3.09114168 / 197.33\n", "lambda_0 = -0.00168015405\n", "zeta = 0.024\n", "Lambda_w = 0.045\n", "theta = np.array(\n", " [m_sig, m_w, m_rho, g_sigma, g_omega, g_rho, kappa, lambda_0, zeta, Lambda_w]\n", ")\n", "eps, pres = RMF.compute_EOS(eps_com, pres_com, theta)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (c) Connecting Core and crust EOS\n", "\n", "These two line can easily connect the Equation of state we computed for core part by setting the parameters and the crust equation of state, to a full equation of state that prepared for next step output\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "eps_total = np.array([*eps_com, *eps])\n", "pres_total = np.array([*pres_com, *pres])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here below is one of the possiblity, use our defined function, 'OutputMR' to compute out what the mass radius curve corresponding to this equation of state." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "MR = main.OutputMR(\"\", eps_total, pres_total).T" ] }, { "cell_type": "code", "execution_count": 6, "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=(9, 6))\n", "ax.plot(MR[1] / km, MR[0] / Msun, lw=2)\n", "ax.set_ylabel(r\"M [$M_{\\odot}$]\", fontsize=16)\n", "ax.set_xlabel(\"R [km]\", fontsize=16)\n", "ax.set_xlim(8.0, 20.0)\n", "ax.set_ylim(0, 3)\n", "ax.tick_params(top=1, right=1, which=\"both\", direction=\"in\", labelsize=14)\n", "ax.tick_params(top=1, right=1, which=\"both\", direction=\"in\", labelsize=14)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (d) Chemical potential ($\\mu$) and proton fraction ($X_p$)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Both `EOSgenerators.RMF_EOS` and `EOSgenerators.fastRMF_EoS` provide functionality to return an equation of state (EoS) array along with the chemical potentials for neutrons, protons, electrons, muons, and the proton fraction. As shown in the previous section (a), the default output format includes separate lists for energy and pressure.\n", "\n", "To obtain the compositional information of the $\\beta$-equilibrium EoS, you can set the `return_tag` parameter to `True`. \n", "\n", "When `return_tag=True`:\n", "- The function returns a 1D NumPy array containing various EoS components:\n", " - `EoS[0]`: Number density in fm⁻³\n", " - `EoS[1]`: Energy density in natural units\n", " - `EoS[2]`: Pressure in natural units\n", " - `EoS[3]`: Proton chemical potential in natural units\n", " - `EoS[4]`: Neutron chemical potential in natural units\n", " - `EoS[5]`: Electron chemical potential in natural units\n", " - `EoS[6]`: Muon chemical potential in natural units\n", " - `EoS[7]`: Proton fraction (dimensionless)\n", "\n", "Example:\n", "```python\n", "EoS_composition = RMF.compute_EOS(eps_com, pres_com, theta, return_tag=True)\n", "```" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Compute the EoS composition in beta equilibrium\n", "EoS_composition = RMF.compute_EOS(eps_com, pres_com, theta, return_tag=True)\n", "\n", "# Number density in fm⁻³\n", "rho = EoS_composition[0]\n", "\n", "# Convert energy density and pressure from natural units to MeV.fm⁻³\n", "e = EoS_composition[1] / (MeV * fm**(-3)) # Energy density in MeV.fm⁻³\n", "p = EoS_composition[2] / (MeV * fm**(-3)) # Pressure in MeV.fm⁻³\n", "\n", "# Convert chemical potentials to MeV\n", "mu_p = EoS_composition[3] / MeV # Proton chemical potential in MeV\n", "mu_n = EoS_composition[4] / MeV # Neutron chemical potential in MeV\n", "mu_e = EoS_composition[5] / MeV # Electron chemical potential in MeV\n", "mu_mu = EoS_composition[6] / MeV # Muon chemical potential in MeV\n", "\n", "# Proton fraction (dimensionless)\n", "xp = EoS_composition[7]" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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MlfX395e5LQ0NDfbw4UOpdS1ZsoQru3v37kr3QxrhrjSVdZtxcHDgyp44cUJiOWUmmPh8Phs5cqTEc7hx48Zs2LBhbPXq1ezChQusrKys0vqqmmCS17Jly7h6MzMzJZapSoJJ+G/Rz89PZtni4mKu+6ikL97y2rp1K7fNH374odLyVelyKvyS9PetzHMwISGBuwYIv3R0dFiXLl3YzJkz2Z49e9jz58+rdHwYY8ze3p5L+ikjgfDPP/9w8Y0dO1ZsufB59csvv8isS/h626tXL6kJ4PLycmZjY8MdE0USb48fP+a2uWrVKollKru2P3jwgFv+1VdfSd2WcGJs/fr1Ysu1tbUZADZy5Mhq74+sa5dw9ztldEclhBCifDTINyGEfEIEXScAwM/PD2pqki/TPB4P8+bNq62wqsTIyAjt2rUDUNHdrzaEhYVx04sXL5ZZdsmSJRLXk8TDwwMtW7aUurxfv37c9L179yoLU6KSkhIcO3YMAGBgYIBZs2ZJLaulpYX58+dz/68sfmXg8XjYv38/1q5dy3VNE0hPT0d4eDiWLFmCXr16wdraGoGBgVwXltrUvXt3bloZ551gMHIej4cFCxbILKulpcV113rw4AHS09Ortc1nz55x0x8f65qk7HPQ1dUVV69eRf/+/UXmFxUVISEhAX/88QcmTJiARo0aoX///oiPj5c7VkG3QcZYtY+zsG3btnHTwt3jJM2rSjdYPz8/qV0l1dTUuAHzi4qKkJqaKne9H7Ozs4OlpSWA6p/39vb2XDflqKgoiceVMcYdKx0dHUyaNEmsjGBQ9Dt37sgcCL66BPUDwLVr15RePyGEEMXRGEyEEKJk4eHhcpVr3Lix2DzhJwJ9/OXsY8LJjdr07t077N27F1FRUbh79y7evn2L/Px8MMbEymZmZtZ4PIwx7rjp6emhR48eMss3b94czZs3x+PHj5GamsqNySNJt27dZNbVsGFDbvrdu3dVjLzCzZs3uaeGde/eXeRLlCQDBw7kpmsrgaempob58+dj5syZOHbsGKKionDp0iWkpKSIPKnpzZs3CAoKQmhoKE6ePIlmzZopLYb4+HiEhoYiMTERT548wYcPH6SOQaaM804wFpKpqSmuXLlSaXnh9z85OVni33dl/v33X266qgmmPn36YPbs2XKV/Xgcrpo4B1u1aoXo6Gjcv38fYWFhOH/+PK5evSry9Dc+n4+YmBicPXsWQUFBWLZsWaWxCx8X4eNVHa9evcKJEycAANbW1hKvuXZ2dujRowfi4+Nx//59JCQkiIwFJY2yrh0vXrzA7t27ERMTg+TkZLx79w4FBQUSyypy3n/77bc4e/Ys+Hw+tm3bhhUrVogsP3v2LB49egQAGDlypMTzc8CAAdi/fz8ePHiAfv36wc/PDwMGDICBgUG14/q4/nXr1gEAhg8fjoULF8LLywtNmzZVSv2EEEIURwkmQghRMsFAy9Xx4sULABWtgD4e/Phj9evXh4mJCXJycqq9vaqKjIzE1KlTJT6aWpLc3NwajqhiG/n5+QAqvgzKGqBWwN7eHo8fPwYAvHz5UmqC6eMBpz+mra3NTQu+oFeVYABpADJbSwk0bNgQ+vr6yM/P586X2qKrq4uRI0di5MiRAIC8vDxcv34d58+fx969e/Hw4UMAQEpKCoYMGYKbN29CQ0OxW428vDxMnDgRERERcq+j6HmXn5+P7OxsAMDbt2+5QdPlVd3ER3FxMTdtZGRUpXUbN25c7WtPTZ6DrVq1wtKlS7F06VIwxvDkyRMkJCTg+PHjCAsLQ0lJCRhjWL58OZo3b46xY8fKrE/4uBQWFlYaqywhISHcQwEmTJgg9drh7e3NtbLavn27XAkmZVw7tmzZgrlz50pNKH1MkfN+6NChsLa2xosXL7Bjxw4EBASIHA/hQfE/Htxb4KeffkJ8fDwyMzMRHx+P+Ph4aGhowMnJCT179kTv3r0xYMAA6OjoVCtGd3d3TJo0Cbt27UJ2djYWLFiABQsWoHHjxujevTvc3Nzw1VdfoVGjRtWqnxBCiOKoixwhhHxCBF2L9PT05CpfWUsDZbp8+TJGjBjBJZfat2+PuXPn4s8//0RoaCiOHDmC8PBwhIeHo02bNgAg0rqlpnz48IGblvd4CP+iLrz+x6R1UVQmReKXFXttMDAwQK9evbBs2TIkJyfjxx9/5Jbdu3dP7CmC1TF69GguuaSvr49Ro0ZhzZo1CAkJwaFDh7hzbuXKldw65eXlCm1T0aRtdbsHCScdaiM5K1Bb5yCPx4OdnR3Gjx+Pffv2ITk5WeQpdAEBAZXWIXxcdHV15d62JMJPj5PU5Utg1KhR3DV5//79XEJbFkWvHYcOHcL06dO55FLXrl2xaNEibNmyBfv37+fO+/DwcC5Brsh5r6Ghga+//hoA8Pz5c67LJABkZWVxf4Nt2rQR6Y4qrHHjxrhx4wb8/Py4roxlZWVISkrC+vXr4enpCQsLCyxfvlwkmVoVISEhCAkJgZOTEzcvPT0doaGhmD59OmxtbeHh4cEluwkhhNQuasFECCGfEAMDA7x//17uX6zl+aIjr8q+nCxfvpz7tf+PP/7AjBkzpJb94YcflBZXZQwNDblpeY+H8BhBwuurQnXiF5RTdezC1NTUsHDhQly6dAn//PMPACA6Ohrjxo2rdp0XL17kujC1a9cOp0+f5sab+Zimpma1t/Mx4QSkk5MTbty4obS6ZRF8KQcU7/5VFao6B+3s7LB371507NgRAPDo0SOkpaXB1tZW6jqKdCMUFhcXJ/Io+4+7DUqTl5eHgwcPYvLkydXetjwEY8Wpq6sjPDwcgwcPllr2m2++Uco2p02bhtWrV6OsrAx///03PD09AQA7d+7kkqbSWi8JmJmZYd26dVi7di2uXbuGS5cu4eLFizh79iz+/fdf5ObmYuXKlbh48SKio6OrlYibNGkSJk2ahPT0dMTFxeHy5cuIjY1FcnIyGGM4ceIE4uLicPHiRW48QEIIIbWDWjARQsgnRDAuR25uLrKysmSWffv2baUtLYRbRFTWqkLQJUiS0tJSnDt3DgDQqVMnmcklQHSw4ppmZGTEtbpITU2V61d84S+W1tbWNRabPKysrLhp4bikefHiBZcgU3XskgwYMICbVrQL3+nTp7np1atXS00uAcDTp08V2pYwY2NjLnHy6NGjGhmwWJImTZpw07WZYFLlOdihQweR7mSVnTOCFpQ8Hk9mIqoyVRmwW5nryuPp06dcF96hQ4fKTC7l5uYq7Vxp2LAhty3BYN+MMWzduhVARYuxiRMnylWXuro6XFxcMGfOHBw6dAivX7/GwYMHYWxsDKBiTCd5xyuUpnHjxhg/fjw2bdqEe/fu4d69e3BzcwNQ0bJO+IEOhBBCage1YCKEkE+Ii4sLkpOTAQBnzpyROR5JTExMpfXVq1ePm37+/LnMwVAvX74sdVl2djbXeql58+Yyt5mYmCgzWQWIdh+RNDh4VfB4PLi4uCA2NhYFBQWIj4/nvmRIkpqayn15s7Ozq3SslJrm5OQEHR0dFBUV4eLFi8jPz5fZTSkqKoqblmcsmNomPPC2pMF9q/Lev3r1ipuu7LwTtHSSRbBtec45Nzc3HDt2DPn5+Th16pTML/nK0r59e276wYMHNb49AVWfg4JrCyD5nBEoLi7mEon29vYiCfSq+PDhAw4dOgSgIhGyZMkSuVrS/P3333j58iUuXryIBw8ewMHBoVrbr0xVzvuoqCildkX+9ttvER4ezg327ebmxl0vR48eDRMTk2rVq6GhgZEjR+L58+fw8/MDUNGKzMvLS2mxt27dGkeOHIG5uTn4fD7i4uKUVjchhBD5UAsmQgj5hAgPJrx+/XqpX4QZY1i/fn2l9QnGQgIqElbSxMTE4NatW1KXC3/ZFHzZkEaecVSEv0Qqo5vfiBEjuGnhcYAkWbNmDXdchddTFS0tLS55kZeXh02bNkktW1pail9++YX7f23E//r16yqVF3SPAyR3O6rKey/veXfp0iWRpIc0gm3Lc875+Phw08uWLav2IO5V4ejoyI0rVFtPCASUew7m5ORUqcXX+fPnuZaYurq6sLOzk1r2+vXrXN2KJLZCQ0O5bsju7u5YsWIFAgMDK30JnxPC4zcpm7znfUlJidK7I/fv3x8tWrQAUNFS688//+SWVdY9Th7CP3IIJxaVxdTUlBsIXtpTJgkhhNQcSjARQsgnxMPDgxv09urVq5g3b57Yr9OMMfj7+8v1BfTLL7/kpn/44QeJ3e7u3bsnc4BboKIbmuDpUteuXcPhw4fFypSXl8PPz0+uL/rCXzKuX79eafnKeHt7c918oqKisHz5conJuc2bN3NfDA0MDDBr1iyFt60M/v7+XAuKgIAAHD9+XKxMaWkppk6divv37wMAOnbsCHd39xqPbdiwYRg2bBjOnDkjs/thSUkJ/P39ERsbC6CixYKkFnhVee87d+7MTQcFBUlM8ty+fRsjR46Uq1WSYNtv375Fenq6zLLDhw9H165dAQC3bt2Cp6enzG6rfD4f0dHRWLVqVaVxSKOlpYU+ffoAqOiaV5vd5JR1DiYkJKBp06ZYu3atyNPpJLl165bItcfLy0vmAw6EW1kqcu4Ld3Hz9vaWez3hsrt27aqRBAkAODg4cMnQyMhIia1LCwsLMWHCBNy+fVup2+bxeJg+fTqAiu6KR44cAVDRuk5WUu/ly5eYN28eUlNTpZYpLS0VeRqd8EDd8ggKCsKpU6dkttjat28fl7Ds0KFDleonhBCiOOoiRwghSlaVx6l37NgRjRs35v6vrq6OHTt2wM3NDSUlJVi/fj3i4uIwfvx47hHS+/btw9WrV+Hq6oqMjAyZY5Y4Ozujb9++OHv2LNLS0tChQwdMnz4d9vb2+PDhA+Li4rBv3z5oamrC09MTkZGRUuuaM2cON/bSqFGjMHr0aLi5uaFevXp4/Pgx9u7di/v376Nt27bQ1tbGtWvXpNbVrl07WFhY4PXr19izZw/MzMzQpUsXkS+XAwcOlPs46uvrY9euXfjyyy9RVlaGlStXIioqCmPGjIGNjQ2ysrJw5MgRnD17FkDFl6i//vqLG/NK1ZydnbF8+XIEBgaiuLgYgwcPxtChQ/Hll1/C2NgYqamp2LVrF9dtytDQEHv27AGPx6vx2Ph8PiIiIhAREQELCwv07t0bnTp1gqWlJfT09JCTk4M7d+7gyJEjyMjI4NYLCAiQ2IWof//+3LS/vz/evHkDe3t7bpBuU1NTuLi4AKhI8jRu3Bjp6elISkqCvb09vv76azRv3hwFBQU4f/489u/fj9LSUnh7eyMkJETmvvTv359rYTV8+HBMnz4d1tbWXGKlefPmXJckHo+HsLAwdO3aFWlpaTh9+jSaNm2KESNGwNXVFebm5iguLsarV69w8+ZNREdH4/Xr1+jXrx+WLl1a7eM9fPhwrrtfbGys3F2I0tPTq3TtGTp0qMj/lXkOvnjxAv7+/li0aBFcXV3RtWtXtGzZEqampigrK0NGRgbOnz+PU6dOcUlLGxsb/PzzzzJjvnDhAgBAR0dHJHleFXfv3kViYiKAirG2hgwZIve69vb2cHFxQWJiIl6/fo1jx46JHUdl0NLSwowZM/Dzzz+jrKwMbm5u8PHxgYuLC/T19ZGcnIyQkBBkZGSgX79+ePjwITIzM5W2fR8fH3z//fciCd3KWi8VFxdj3bp1WLduHTp16oSePXuidevWMDExQV5eHlJTUxEaGoonT54AAJo1a4YxY8ZUKa7Y2FgEBgaiQYMGcHd3h5OTE6ysrMDj8fDy5UucPHlSpKUujcFECCEqwAghhCgMQLVeO3fulFjf0aNHmaGhodT12rVrx9LT05mtrS0DwGxtbaXGlpGRwVq0aCG1LlNTU3bq1CkWEBDAzYuNjRWrh8/nsylTpsjcn3bt2rEnT54wNzc3bp4027Ztk1mXsJ07d1Z6zBhjLCoqitWvX19mvQYGBmz37t1S65B3W4wx9vTpU66st7e3zLLyWL16NdPU1JQZf5MmTdiNGzdk1iMo6+bmpnBMU6dOZerq6nKf00ZGRmzTpk0y65wwYYLU9T+OOSkpiZmZmUktr66uzn788UcWGxvLzQsICAlHoz4AACAASURBVJC43by8PObg4CC1LknrZWVlMQ8PD7n3X9Hz4P3790xXV5cBYJ6enjLLCp+rVX1Jo+g5eO3aNWZtbV2lWPr27cuePXsmc18/fPjAdHR0GAA2evToyg+kFHPmzOG2O23atCqv/8cff3DrDxo0SGSZPNc9gcqut8XFxWzgwIEyj5ubmxvLzs6u9HOgsm1J4u3tza2jr6/P3r9/L7P8s2fP5H6/27Ztyx4/fiyxHlnXrj59+shVv76+PtuxY4dc+0kIIUS5qIscIYR8ggYNGoTk5GR89913aNGiBXR0dGBqaorOnTvjl19+QUJCAho1aiRXXTY2Nrh27RqCgoLg6OgIfX196OnpwcHBAf7+/rh9+7bIk7+k4fF42L59O8LCwuDu7o769etDU1MTlpaWcHNzw6ZNm5CYmChzIHFhU6dORXR0NLy8vNC4cWPo6OjItZ4s7u7uePLkCX766Sf07NkT5ubm0NTURP369eHi4oKAgACkpqZiwoQJCm+rJixevBj379/HvHnz4OjoCBMTE+4Yu7u7488//8SDBw+q3LVEEdu2bcPr168RGhqKmTNnomfPnrC2toauri7U1dVhbGyMli1bwsvLC5s3b8bTp08xc+ZMmXWGhIRg69at6Nu3Lxo0aMC1XpKkU6dOuH37NubNmwd7e3vo6OjAwMAALVu2hK+vLxITE7Fw4UK59kVfXx8JCQlYvnw5nJ2dYWxsXOngzmZmZjh27BgSEhIwa9YsODk5oX79+lBXV4e+vj7s7OwwaNAg/Pjjj7h79y6Cg4PlikUaIyMj7kldJ06c4J6aVlsUPQc7duyIzMxMXLlyBT/99BOGDRuG1q1bw9jYGOrq6tDR0YGFhQV69OiBOXPmID4+HjExMZU+Ee7AgQNci5rKnmIpTUlJCfbs2cP9v7KuwZKMGTMGWlpaAICTJ08q/KREabS0tHD8+HFs374dvXr1grGxMbS0tNCwYUO4u7sjJCQEZ8+eRf369Wtk+8KfCWPGjOHGNZLG1tYW6enpCAkJgY+PD9q3bw8TExOoq6tDV1cXTZs2xfDhw7F3717cuHFD5lhb0hw7dgynTp3CokWL0KtXL1hbW0NLSwuampowNzdHz549ERQUhJSUFEyePLnK9RNCCFEcjzEFH99DCCFEZZo0aYK0tDTY2tri2bNnqg6HEKIEKSkpaN26NcrLy/Hbb79h9uzZqg5J5VxcXHD16lW4uLjgypUrqg6nzvPy8uLGX0pMTBQZD40QQgiRhlowEUIIIYR8Qlq2bMm1Ylq7di2Ki4tVHJFqxcbG4urVqwCg0CDqRD7Pnz/nxirr1KkTJZcIIYTIjRJMhBBCCCGfmBUrVkBPTw+ZmZnYsmWLqsNRqZUrVwKo6Lb1xRdfqDiaui8wMJB7Qt6cOXNUHA0hhJDPCXWRI4SQzxh1kSOk7lqzZg2WLFkCS0tLpKamijxl8b/ixIkT8PDwgJaWFu7cuYOWLVuqOqQ65/Hjx3j8+DHy8vJw/Phxbhyx1q1b4/bt21BXV1dtgIQQQj4blGAihJDPGCWYCCGEKCIwMBBBQUEi83R1dXH+/HnqHkcIIaRKqIscIYQQQggh/3E8Hg8NGzaEl5cXDexNCCGkWqgFEyGEEEIIIYQQQghRCLVgIoQQQgghhBBCCCEKoQQTIYQQQgghhBBCCFEIJZgIIYQQQgghhBBCiEIowUQIIYQQQgghhBBCFEIJJkIIIYQQQgghhBCiEEowEUIIIYQQQgghhBCFUIKJEEIIIYQQQgghhCiEEkyEEEIIIYQQQgghRCEaqg7gU8bn8/HixQsYGhqCx+OpOhxCCCGEyIkxhg8fPsDa2hpqavR72qeA7qsIIYSQz5O891WUYJLhxYsXaNSokarDIIQQQkg1ZWRkwMbGRtVhENB9FSGEEPK5q+y+ihJMMhgaGgKoOIhGRkYqjkY+paWlOH36NAYMGABNTU1Vh/OfQMe8dtHxrn10zGsXHW/lyM3NRaNGjbjPcqJ6n8t91X/pb5D2tW6ifa2baF/rps9lX+W9r6IEkwyC5ttGRkaf9I2QsNLSUujp6cHIyOiTPkHrEjrmtYuOd+2jY1676HgrF3XF+nR8LvdV/6W/QdrXuon2tW6ifa2bPrd9rey+igYlIIQQQgghhBBCCCEKoQQTIYQQQgghhBBCCFEIJZgIIYQQQgghhBBCiEIowUQIIYQQQgghhBBCFEIJJkIIIYQQQgghhBCiEEowEUIIIYQQQgghhBCFaKg6gLqorKwMZWVlKtl2aWkpNDQ0UFRUhPLycpXE8F9Dx7x21cXjraGhAQ0NuhwTQogktX1fVRc/Z6Shfa2bBPsq+Leyx4oTQoiy0DcaJSooKEB2djby8/NVFgNjDJaWlsjIyKAPk1pCx7x21dXjra+vDzMzM+jp6ak6FEII+SSo6r6qrn7OSEL7WjcJ9vXZs2fQ0tKCoaEhzMzMoK6ururQCCF1HCWYlKSkpAQZGRnQ1NSElZUVtLW1VfLhxefzkZeXBwMDA6ipUQ/I2kDHvHbVtePNGENxcTH+/fdfZGRkoGnTptDS0lJ1WIQQolKqvK+qa58zstC+1k2CfdXR0UFBQQFycnJQWFiIRo0aUZKJEFKjKMGkJG/evIG6ujpsbW1VeuHm8/koKSmBjo5Onf/w/FTQMa9ddfF46+rqwtDQEE+fPsWbN29gY2Oj6pAIIUSlVHlfVRc/Z6Shfa2bBPtqYGAAIyMjGBsbIz09HdnZ2bCwsFB1eISQOqxuX11rCWMMBQUFMDY2pl8FCCHVoq6uDmNjYxQUFIAxpupwCCFEZei+ihDl0tXVhZGRET58+ED3GISQGkUJJiUoLS1FeXk5dHV1VR0KIeQzpquri/LycpSWlqo6FEIIURm6ryJE+QwNDVFaWkr3GISQGkUJJiXg8/kAQL+yEUIUIriGCK4phBDyX0T3VYQoH91jEEJqAyWYlKiuP5GCEFKz6BpCCCH/H10TCVEe+nsihNQGSjARQgghhBBCCCGEEIVQgokQQgghhBBCCCGEKIQSTKTG8Hi8Sl8+Pj6qDpMICQ4OFnuPtLS0YGNjg7Fjx+L69euqDpEQQgghhBBCyCdIQ9UBkLrP29tb6rIePXrUYiREXnZ2dtx7k5eXh6SkJOzfvx9hYWE4fPgwhgwZouIICSGEEEIIIYR8SijBRGpccHCwqkMgVdSjRw+R9620tBQzZszAtm3bMH36dAwcOBBaWlqqC5AQUmccPw64uwMadEdCSKU+HqhZQ0MDxsbGsLKyQqdOnTB48GB4enpC4zP5g+LxeLC1tcWzZ89UHQohhHz2SspLkPpvKqwMrWCiY6KSGKiLHCGkUpqamtiwYQMMDAzw8uVLJCYmqjokQkgdsG8fMGgQ4OEBlJaqOhpCPh/e3t7w9vbG2LFj0b17d5SVlWHXrl0YMWIEWrVq9Vl/Tj979gw8Hg+9e/dWdSiEEPJJel/0HlcyryD4ZjAWnVmEofuHwmGTA/RX66P1n60R9ThKZbFRgol8Ung8Hpo0aYLy8nL8/PPPaNmyJbS1tdGoUSMsXLgQxcXFEtfLy8vDihUr0K5dO+jp6cHIyAhubm6IiIgQKyt845Kbm4t58+ahadOm0NTUxJw5c0TqnD9/Pho1agRdXV20bt0aGzduBGOMi1Ng48aNUFdXx/fffy913/r06QMej4f4+HiZx+DXX38Fj8fDokWLpJb56quvwOPxEB0dzc3LyMjAzJkzYW9vDz09PZiamqJNmzbw9fXFw4cPZW5THvr6+mjZsiW3LQHBsSgpKcGKFSvg4OAAbW1tDB06VGT9+Ph4DBs2DA0aNIC2tjaaNGmC2bNnIysrS2xbpaWl2LJlC1xcXGBmZgY9PT00adIEgwYNwv79+0XK5ufn46effoKTkxNMTExgYGAAOzs7jBw5EqdOnRIp+/H7Jkww/lRgYKDI/N69e4PH4+HZs2fYt28funTpAkNDQ5iYiP4q8OzZM/j6+qJJkybQ1taGubk5RowYgdu3b8s8roT8VyUkAFOmVEw7OQGamqqNh5DPSXBwMIKDg7Fr1y5ERkbi/v37ePToEUaNGoXHjx+jT58+uHnzpqrDrNT9+/cRExOj6jAIIeSTlF2QjQtpF7A5aTNmn5yN/rv6o+G6hjD5yQRdtnfB5MjJ+OniT4h8GImHbx+ijF8GAy0D5BTlqCzmz6P9LPnPGT9+PI4dOwYXFxfY29sjLi4OP//8M54/f449e/aIlH39+jX69u2L5ORkNGzYEF988QUKCgpw+fJlDBs2DGvWrJGYrCksLISbmxvS0tLg5uaGjh07ol69egCAoqIi9OvXD4mJiTA3N8egQYOQl5eHBQsWIDU1VWK8q1evxs6dOxEUFCTWNP3x48c4f/48HBwcKh13auzYsfD390doaCjWrFkj1hw+Ozsb0dHRsLS0RN++fQEAmZmZ6NixI7Kzs9G+fXsMHjwYRUVFSEtLw9atW9G1a1fY29tXfuAr8eHDBwCAtra2yHw+n4+hQ4fiwoULcHNzQ/v27VG/fn1u+caNGzFnzhyoqanBxcUFDRs2xN27d/H777/j2LFjuHjxIqysrLjyEydOxIEDB2BmZoZu3bpBT08Pz58/R1xcHPLy8vDVV18BAMrLyzFgwABcunQJNjY26N27N7S0tJCZmYljx45BX18f7u7uCu83AKxZswbbtm1D9+7dMWjQIJEkW3x8PDw8PJCbm4s2bdpgyJAheP78OY4cOYITJ07g+PHj6NOnj1LiIKQuSE8Hhg4FiouBIUOA1atVHREhnz87OzscOHAAhoaG2L59O6ZMmfLJP5zDwcFB1SEQQojKfSj7gLj0ODz89yHuZd2reL25h6wC8R/iBawNrdHKrBUczBy4fx3MHGBtaC32/bFWMSLV+/fvGQD2/v17meUKCwtZcnIyKywslLicz2csL692Xrm55Swz8x3LzS2vdh18vnKOHwBW1VNMsE6rVq3Y06dPuflPnjxh9erVYwDY48ePRdb58ssvGQDm7+/PSkpKuPmpqanMzs6Oqaurs1u3bnHznz59ym2na9eu7N27d2JxrFy5klsu/P7funWLi8PW1pYxxlh5eTl79+4dGzt2LAPAIiIixOpbuHAhA8B+/fVXuY5D3759GQB24cIFsWV//PEHA8DmzJnDzQsICJBa/7Nnz8SOmTQ7d+5kAJi3t7fYsnv37jF1dXUGgD169IibLziWzZs3Z5mZmWLrXb58mampqTFbW1uR94HP57MVK1YwAGzEiBHcfMH707lzZ7G/qYKCAhYfH8/evXvHysvLWWxsLAPAPD09WXl5uUjZnJwclpSUJDJP+H2Ttu8BAQEi893c3BgApqOjw86dOye23vv375mlpSXT1NRkhw4dElkWHR3NtLS0WMOGDVlxcbHE7Qqr7FqiKiUlJSwiIkLk74vUnLp+vD98YMzRkTGAsfbtGcvNrZntyPsZTmqPsu6raprgc/3jz5VPgTz3Vjk5OUxfX58BYHFxcWLLnz59yqZNm8ZsbW2ZlpYWq1+/Phs+fLjIZ7SgHADm5ubGCgoK2MKFC1njxo2ZlpYWs7OzYz/++CPjS7lpTE5OZhMmTGDNmjVj2trazMzMjDk6OrLvvvuOvXjxQmR/hD+XBfczkl7e3t4sMTGRAWDdunWTuv+BgYEMAFu5cqXI/I/f16SkJAaAubq6Sq3rp59+YgDYkiVLqrV/sgjuG1etWiW2LC4ujmlrazNzc3O57+GESTqHVf13VVPq+memMNrXz19+ST5LzExk269vZ35RfuyLXV8wq1+sGAIh9dV0Q1PmsdeDLTi9gO24voMlZCSwnMKcWo9d3s9wSjDJoKwboby8ihvpz+WVl6ec4yftBkH4FR4eLnGdM2fOiNU3a9YsBoDt3LmTm3fjxg3uRkPSTU5ERAQDwGbNmsXNE04wXb16VWLsNjY2DAC7fPmy2LLly5dLTDAJkh2DBg0SKV9aWsosLS2ZlpYWy8rKknq8hG3fvp0BYL6+vmLLunfvLhb7t99+ywCwGzduyFW/NJISTHl5eezMmTPM3t6eAWD9+/cXWUdwLD9Orgh4enoyAOzUqVNiy/h8PuvQoQNTU1Pjjs2VK1cYAPbdd99JrE/4punAgQMMAFu/fr1c+6dIgmnmzJkS11u/fj0DwBYvXixx+Zw5cxgAFhYWVml8n+rNX139kP9U1eXjXV7O2NChFZ81DRow9uxZzW2LEkyfHkowKU7eH+9GjBjBALAVK1aIzI+Li2NGRkYMAGvTpg3z8vJinTt3Zjwej+nq6rKzZ89yZQX3S127dmU9evRg9erVY+7u7szd3Z3p6OgwAOz7778X2/a1a9eYrq4u4/F4zNXVlY0ZM4Z5eHiwVq1aMQAsNjZWZH+EP5fDw8OZl5cXA8AsLCyYt7c399q6dStjjLFOnToxAOzu3bti2y4vL2e2trZMXV1d7EcvSe+rg4MDk/TjpYCjo6PYtqqyf7I8evSIaWhosHr16on8TTx48ICZmpoyPT09lpiYKFddH6MEU91E+/r5KOeXs8dvH7MjyUdYYGwgG35gOGu+sTnjBfKkJpJs19syj70ezP+0Pwu5GcKSniexvGIlfTFXAnk/w6mLHKlx3t7eUpc1btxYbJ6mpqbEgR0F4/+8fPmSmycYg8jT01NiU0BBd7SrV6+KLbOysoKzs7PY/PT0dGRmZsLGxgZdunQRWz5y5EisWLFCbH6vXr3QunVrnDx5Es+fP0fDhg0BAEePHsWrV68wevRomJmZia0niZeXF2bOnInDhw/j999/h+b/BidJT0/HpUuX0LJlS5HYO3XqBACYOXMmVq1ahZ49eyr0BJmQkBCEhISIzXd2dsbu3bvF5vN4PAwePFhsPp/PR0xMDAwNDdGvXz+J63Xv3h03btzAtWvX4O7uDgcHB+jr62Pnzp1o06YNhg8fLtLdTpiTkxPU1NSwdu1aWFpawsPDA4aGhtXY48oNGTJE4nzBOfjxmFMCPXr0wIYNG3D16lUMHz68RmIj5HOxdCkQEQFoaVX8a2ur6ogIqZucnJxw+PBh3L9/n5uXm5uLkSNHorCwEIcOHcKIESPA5/ORm5uLxMREDB48GBMnTsSTJ09EnhR7+fJl9OzZEykpKdx9TFJSErp27Yr169dj0aJFMDAw4Mpv3LgRhYWFCAsLE/vcu3//vtgYhsKGDh0KJycnhIWFwcHBQeKTiH19fTFt2jRs27YN69evF1l2+vRppKWlYfDgwdx9mCzjxo3D8uXLsW/fPixbtkws1lu3bsHJyQlt2rRRyv4Ja968OSZPnoytW7fit99+w7Jly/D69Wt8+eWXeP/+PSIjI9G5c2e56iKEqE5+ST7uvLmDW69u4dbrW7j56ibuvLmDvJI8ieUb6DdAuwbt0LZBW7Rr0A4Opg7IuJ4Br8Fe3He+zxklmGqBnh6QJ/n8UjrBjYKRkRHU1Ko3hruennJjknRzIIuVlRXU1dXF5gtuXoQH+hY81nbhwoVYuHCh1Dqzs7PF5klKbgHAixcvAACNGjWSuFzaegAwbdo0zJkzBzt27OBuVLZu3QoA+Oabb6Su9zFjY2N4eHggLCwMUVFRXPJm3759YIxh/PjxIuV9fHxw+vRpHDx4EH379oWenh6cnZ3x5ZdfYsqUKWjQoIHc2wYqxnEQJOc0NTVhYWGBnj174osvvpB4XgkG7v7Y27dvkfe/k7+yhJfgPTIyMsLWrVsxbdo0TJs2Db6+vrC3t0efPn0wadIkuLi4cOu0bNkSa9euxaJFizB27Fioq6ujbdu26N+/PyZPnixyQ6goae+74Bx0dXWVub6kc5CQ/5I9e4A1ayqmt28HunZVbTzk88QYQ0FpQY1ug8/nI780H+ol6tW+lxKmp6lX6+NhCBJB79694+bt2LEDr169wuLFizFixAiR8v3798eMGTOwYcMGHDt2TCRxoqamhm3bton8SCa4xzh69CiSkpJEfhh88+YNAHDjRApr1aqVwvs2btw4zJ8/H7t378aPP/4ocv+xbds2APLfc40fPx7Lly/H3r17xRJMe/fu5coIU+b+LV++HLt378a6deswdepUeHp64unTp9i6dSs8PDyqVBchpOZlF2TjxssbuPGq4nXz1U08zH4IBiZWVktdC23M28DR0hHtGrRDe4v2aNegHSwMLETKlZaWIvtW3fmeQAmmWsDjAfr6tbMtPh8oL6/YnhLuiVSiKjdh5eXlAICePXuiWbNmUstJajmko6OjtDgEvL29sXjxYuzYsQNLly5FZmYmTp06hWbNmkm8EZFl/PjxCAsLw759+0QSTEDFzZUwdXV1HDhwAIsWLUJkZCRiY2ORkJCACxcuYM2aNTh16pTE1ljS9OjRo0qJQWnHUvD+GBoaVtp6x1aoKcPYsWPRv39/REZG4vTp0zh//jz++usv/PXXX5g/f77I0/rmzp2LkSNHIiIiAtHR0YiLi8Ovv/6K9evXY+PGjZg5c6Zc+8Dn8xXax5EjR0JPRna2sgQUIXXZ5cvA1KkV04sXAxMmqDYe8vkqKC2AwRqDygt+QvIW50Ffq5ZuBP+HsYovO8L3MtVtcdukSROuFbkwSS3LgYpW1SdPnsSkSZOwdOlSODs7KyVRJ6Cvr4/x48fjr7/+Qnh4OMaMGQOgIvHzzz//wNramnsYSGWaNWuGLl26ICEhAdevX0fHjh25Zfv374eamhpXf03sn42NDb799lusX78ejo6OyM7ORkBAAL7++utq1UcIUZ6XH17i2struP7yOvfKyM2QWLaBfgM4WTrBycIJjpaOcLRwhL2ZPTTU/nvplv/eHpM6xcbGBgAwYsQIzJ49Wyl1Cp5mlp6eLnG5tPkAYGJigtGjRyM4OBjR0dG4fPky+Hw+vv766yonrDw8PGBiYoJ//vkHeXl5SEtLw507d+Dq6ormzZtLXKdDhw7o0KEDAgMDkZubi6CgIKxbtw7fffcdrly5UqXtK4OZmRm0tbWhqalZ5ZZs5ubm+Prrr/H111+DMYZTp05h9OjR+OWXX+Dl5SXSkqlRo0aYNWsWZs2ahbKyMuzfvx+TJ0/G3LlzMX78eK65uqamJtei6mPCT4WrChsbGzx8+BBLly5F+/btq1UHIXVZWlrFE+NKSir+XbVK1RERUvcJWs2amppy86rb4lZwr/UxSS3LAWDBggWIj4/H0aNHcfToURgbG8PV1RWDBg2Cj4+PUrqyT58+HX/99Re2bt3KJYCCg4NRWlqKKVOmSGwJL8348eORkJCAvXv3cgmmhIQEpKamok+fPmL7r+z9mzt3LjZs2IDs7Gz4+PggMDCwSusTQhT3Ku8Vkl4kca9rL6/hVd4riWWbmzZHB8sO6GDZAU6WTuhg1QGWBpa1HPGnixJM5LPWv39/LFu2DBEREUpLMNna2sLa2hqZmZm4cuWK2I3Y4cOHZa7v6+uL4OBgbNmyBUlJSdDQ0ICPj0+V49DS0sKIESOwbds2REREIDk5GYB4U21pjIyMsHr1aqxfvx537typ8vaVQUNDA71798apU6dw4cIF9OrVq1r18Hg8DBw4EB4eHggNDcX9+/dFEkwfb3PChAn4888/cfnyZaSkpHBlrayskJ6ejn///VfkphuoGLehOvr374+YmBhERERQgomQj3z4AAweDLx5Azg5Abt3f76ta8mnQU9TD3mLa3bcAT6fj9wPuTAyrP5wA8L0NJU89oAcbt68CQBo3bo1N09Si1vGGEpLS6Gpqcn9EPbxfU9VfyAzMjLC2bNncfHiRRw9ehTnzp1DTEwMTp8+jTVr1iAuLg52dnbV3jcAaN++Pbp06YLY2FikpqbCzs4O27dvB4/Hw1RBc0k5jR49Gn5+fti/fz/Wrl0LNTU1rsW4pHsuZe4fYwxz587lWpwpMn4mIUQ+OUU5uPr8Kq6++N/r+VU8//BcrJwaTw2tzFqho1VH7uVk6QQjbSMVRP35oKsY+ax16dIF/fr1Q0xMDPz8/LBy5UqRgSb5fD7OnDkDPT09bkwhefj6+iIgIADz5s3DyZMnuV+j7t69i99//73SmBwdHXHkyBEAFU3RBa2iqmr8+PHYtm0b9u7di4cPH0JdXR2jR48WK7d792506NABbdu2FZkfFRUFxpjMcaNq2pIlSxAdHQ1vb2/s3r1b7H148eIFwsPDua5sN27cwNOnTzF48GCRge7evXvHtcIS/JoYGxuL8vJy9O3bV+RLQFpaGu7fvw8ejyfyy6Obmxt2796NlStXcgODMsbw448/4tKlS9XaP19fX6xbtw6rV69Go0aN4OPjI3Iznp+fj7CwMPTt21fqr8CE1EXl5RVd4e7cASwsgH/+AQw+r55N5BPE4/FqvLsZn89HuWY59LX0ldq1q7a8f/8eUVFRAIA+ffpw8yW1uFXG2J2S8Hg89OjRg/vMz8rKwnfffYfQ0FAsWbIEBw4cUHgb06dPR0JCArZv3w53d3ekpKRgwIABaNKkSZXqMTc3xxdffIGTJ0/i3LlzcHNzw8GDB6GtrQ0vLy+J6yhr/+bOnYtDhw5h8ODBuHLlCoKDg+Hv748WLVqIlCstLYWhoSG+//57xMXF4dKlS9DX18f06dMRFBRUpf0l5L+kpLwEt17dwpXnV3Dl+RUkPk9EytsUsXI88NDKvBWcrZ3hbOWMTtad4GjhWOvdm+sCSjCRGier9U7jxo0lPpGtKvbu3YsBAwZgw4YN2LVrF5ycnGBubo7nz5/j4cOHyMrKwvr166uUYFqwYAGOHj2Kixcvws7ODr1790ZeXh7Onj2Lb775Bps2bRJ5wsrHfH19MWPGDABVG9z7Y25ubrCxseFuFAcOHChxwO6wsDBMmjQJdnZ2aNeuHXR1dfHs2TMkJCRAXV0dq1evrnYMiurVqxd+++03zJkzBz179kT79u3RokULFBUVcYkgAwMDLsGUG7vXigAAIABJREFUlpYGLy8vGBsbw9nZGZaWlsjJyUFcXBxyc3MxdOhQ7qkqt27dgp+fH8zNzdGpUyfUr18fWVlZuHDhAoqKijBnzhxYW1tzsSxcuBCHDx/Ghg0bcO7cOdjZ2eHOnTvIyMjAjBkz8Oeff1Z5/+rVq4fw8HAMGTIEU6ZMQVBQENq2bQttbW2kp6fj/v37yM/Px40bNyjBRP5TliypSCppawORkYCU5yYQQpRs3rx5yM/PR+fOndFVaDR9Vba4NTc3R2BgIEJDQyttVS24vyorK5NZbtSoUfDz80NwcDCePHkCoPr3XOPHj8fJkyexb98+lJWV4fXr1xg+fLjcT4Sryv4JrFu3Dhs2bICrqysOHDiAv/76C/PmzcPy5csRGhoqUvbevXsoLi7Ghg0b8Ntvv2Hz5s04fPgwFi5cCFdXV7nHnCKkLmOMISM3A5czLiMhMwEJzxNw4+UNFJcXi5VtVq8ZXBq6wNnKGZ0bdkZHq44w0KJfwZSBEkykxkl63L2Ao6OjwgkmCwsLJCQkYPPmzThw4ACuXr2KkpISWFlZoUOHDvD09MSoUaOqVKeuri5iYmIQGBiIgwcPIjIyEk2bNsXq1asxatQobNq0CfXr15e6fr9+/QBU/Fro7u5e7X3j8XgYO3Ys1q5dC0B8cG+BuXPnwsbGBhcvXkRcXBzy8/PRsGFDjB07FvPnz0eHDh2qHYMy/N///R/3OOMLFy7gn3/+gaGhIWxsbDB9+nSMHDmSK9ulSxesWrUKZ8+excOHDxEXF4d69eqhffv2+OabbzBmzBgUFFQ8QWjQoEF4+/YtYmNjcevWLbx9+xbm5ubo2bMnZsyYITaQaZs2bXD27FksXrwYiYmJePLkCbp3746DBw/ixo0b1d6/7t27486dO1i3bh2OHz+Os2fPQl1dHdbW1hg0aBCGDx8u0k2BkLouJAT4+eeK6R07ABrjnpCa9+TJEyxevBgHDx6Evr4+tm/fLrJcUotbYcpqcbt582a4u7ujadOmIvNPnjwJQPbTeIGK8Rs1NTWRmpqK8vJyqeMp6erqYtKkSfjtt99w4MABmJubw9PTs1oxDx06FPr6+ggLC0N+fj4A6UMSKLp/AHDw4EHMnz8fzZs3x9GjR6Grq4tvv/0Wa9euxYEDB7B48WKRJOD169cBAIcOHeIeGuPv74+///4bFy5coAQT+U8qLivG9ZfXcSnjEi5lXsLljMt4mfdSrFx93fpwaegC14aucLVxhbO1M8z0xB8ARZSEEanev3/PALD379/LLFdYWMiSk5NZYWFhLUUmXXl5OXv37h0rLy9XdSh11v79+xkANn36dMaY5GP+ww8/MAAsICBARVHWXXX5HP+UriXCSkpKWEREBCspKVF1KP8Jn/vxjo9nTEuLMYCxpUtVF4e8n+Gk9nwu91Wf8ucMAAaAeXt7M29vbzZx4kTm6enJWrVqxXg8HgPAWrRowa5evSpx/fj4eGZqasoAMFtbW/bVV1+xwYMHM2dnZ6avr88AsBs3bjDGGHv69CkDwNzc3CTWFRAQwACwnTt3isx3dHRkAFjr1q2Zl5cXGz16NHNycmIAmK6uLrt06ZLI/tja2orVPXjwYAaAtWnThk2cOJFNnTqV7dixQ6xccnIyd0wWLFgg89hV9r6OGzeOq8vY2JgVFRVJLFeV/ZPk3LlzTFtbm5mbm7PHjx+LLNuwYQMDwAYNGiQyf+bMmczFxUWsrtatWzN/f3+59lXVf1c15XP/zKyK//q+Zudns8gHkcz/tD/rvr07016pzRAIkZd6kDrrtKUTm3l8Jtt9azd79PYR4/P5KtyTyn0u76u8n+HUgokQKW7evIn27duLjElw584d+Pv7A5Demig3N5frQjdt2rRaiZUQQj4Fz579/yfGeXkBNDQIITVD0DpcQ0MDRkZGsLa2xqRJkzBkyBAMGTJE6mDRH7e4jY2NVXqL25UrVyIiIgJXrlxBTEwMSkpKYGNjg2nTpmHBggVSn4QrbNu2bZg/fz6io6Oxb98+lJeX/z/27j0+5/r/4/jj2tnYxsxpzCk5RcmkUAibc445k5KIlNAB+UaKQqSEkkPOKiZn5kxLh4mIiJwNYTZjh2vXdf3+uH5Wy2nNts91XXveb7dut8/1+byvz/V8v7fmul7X5/N+k5qayrPPPpuuXaVKlQgODubs2bM8//zz95S7a9euaZN7t2vXDm9v7yzv34EDB2jdujXu7u6sWrXqpsnA+/Tpw/jx41m1ahXff/992i2Ou3fvJjQ0NF3buLg4Dh8+fNN+EVdgs9k4n3ye+fvm8/2Z79l5cicHLx68qV2QbxC1Q2pTu0RtaoXUokZwDUMWVpC/qcAkchudOnUiPj6eqlWrUqBAAY4fP87PP/+MxWKhb9++PPHEE+naz549mx07drB9+3ZiYmJ49dVX083/IyLiyuLj7SvGXbwI1avbb5NzwvmRRRya7f9XG7sXwcHBTJgwgQkTJtxxku/SpUvf8fVGjhzJyJEjb9rfsmVLWrZsmaEstzt/4cKFmTt37l2fHxUVxdmzZ6lXrx7ly5fP0GveTrNmzTI0vv+lf/9WuXJlYmNjb3vcx8eH06dPp9tnsVjYu3fvTfNmTZw4kUKFCtGiRYtMZRFxJDabjUOXDrHt+Da2ndjGjhM7OH31NPyrplQxqCKPhzxOnZJ1qBNSh3KB5f7zSpeSvVRgErmNAQMGsHjxYvbs2UNsbCy+vr7Url2bXr168cwzz9zUfvv27cydO5dChQoxYMAAxo4da0BqEZGcZ7FAly6wfz8UK2af1DuvFl4RkWx2YxGTl156yeAk2ef333/n+vXrrFmzhjVr1lCpUiUWL17M2LFjWb58Ob6+ulpDnI/NZuPgxYNsPb6Vrce3sv3Eds5fO5+ujTvuhAaHUrdUXR4vaS8qae4kx6cCk8ht9O/fP21ls4yYPXv2HSc0FxFxVW++CatXg4+PvbikBRNFJLtERUUxc+ZM9u/fz48//khoaCht27Y1Ola22b17N4GBgcycOZP+/ftz4sQJHnroIbZu3Urt2rWNjieSITabjSOXj7D52Ga2HN/C1uNbbyoo+Xj48FiJx6hbsi61i9fmyv4rtG3ZFk9PT4NSS2aowCQiIiKZNmsWTJhg354zBx55xNA4IuLiDh8+zKxZs/Dz86Nly5ZMmTLlptv7XMnu3bt5+OGHCQsL4/Dhw0bHEcmwM/Fn2HRsE5uPbWbTsU2cjk9/+6ePhw91QupQv3R96pWqR83iNfH2sM99ZjabWXNwjRGx5R6pwCQiIiKZsmMH9O1r3377bejY0dg8IuL6evbsSc+ePY2OkWN2797NI6rcixOIT45n6/GtbPxzIxv/3HjTpNxe7l7UKlGLBmUa8GTpJ9MVlMR1qMAkIiIi/9mff0KbNmA2Q4cO8L//GZ1IRMS12Gw29uzZQ+/evY2OInITi9XCz2d/ZsPRDWz4cwPfn/oei82SdtyEidDgUBqVaUSDMg2oU7KOVnjLBVRgykJZsbKHiORe+hsizuLGinGXLkFoKMyerRXjRESymslkIi4uzugYImlirsaw7sg61h1dR+TRSGKT0q+KWC6wHGFlw2hUthFPln6SAnkKGJRUjKICUxZwd3cH7PeK5smTx+A0IuKszGYz8PffFBFHZLFAp05w4AAEB9sn9dYiRiIiIq4n1ZrK96e+Z80fa1h7ZC17z+9NdzzAO4BGZRsRfl84YWXDKFOgjEFJxVGowJQFPD098fb2Ji4uDj8/P0wmk9GRRMTJ2Gw24uLi8Pb21moZ4tBeew3WroU8eezFpeLFjU4kIiIiWeWva3+x9sha1vyxhvVH13Ml6UraMRMmagTXoEm5JjQp14SaxWvi4aaSgvxNvw1ZJCgoiDNnznD69GkCAgLw9PQ0pNBktVpJSUkhKSnJpVfUcCQa85zlauNts9kwm83ExcWRkJBAcX1aFwf2xRcwaZJ9+8svoUYNY/OIiIjIvbHZbOy/sJ9Vh1ex8vBKdp3ehY2/p20IzBNIk3JNaFauGeH3hVMobyED04qjU4Epi/j7+wNw8eJFzpw5Y1gOm81GYmIiefLk0ZVUOURjnrNcdby9vb0pXrx42t8SEUezdSu8+KJ9e9QoePppQ+OIiIhIJpktZnac3MGKQyv49tC3HL9yPN3xakWr0fz+5jS/vzk1i9fE3U3TN0jGqMCUhfz9/fH398dsNmOxWO7+hGxgNpvZvn07devW1W02OURjnrNccbzd3d1dpi/imo4ehXbtIDXVPv/SiBFGJxIREZH/4lrKNdYdWUfE7xGs/mN1ulvfvN29aVi2IS3Lt6RF+RaU8C9hYFJxZiowZQNPT0/DPiy6u7uTmpqKj4+PPrDmEI15ztJ4i+SsuDj7inGXL8Mjj8CsWeBCFw+KiIi4rMuJl1l5aCURv0ew/uh6klKT0o4F+QbRonwLWlVoRVjZMPJ65TUwqbgKFZhERETkllJToWNHOHjQPpn3t9/aJ/cWyQk2m+3ujUQkQ/T/U+5x4doFlv++nG8OfMOW41tItaamHStboCxtKrahdcXW1CpRS7e+SZZTgUlERERuacgQWL/eXlRasQKKFTM6keQG7u72Dzxms5k8qmiKZInk5GQAPDz08c8VnU84z7KDy/j6wNdsO7ENq82aduzBIg/StmJb2lRqQ9XCVV1qDlNxPPoLIyIiIjf57DOYPNm+PW8eVK9ubB7JPTw9PfH29iYuLg4/Pz99GBK5RxaLhcuXL5M3b14VmFzIxesXWXpgKV8d+Iqtx7emKyrVCK5B+0rtaVe5HeUCyxmYUnIb/YURERGRdLZsgZdesm+/+659gm+RnBQUFMSZM2c4ffo0AQEBeHp65lihyWq1kpKSQlJSEm5ubjnymkZRX13Tjb5eu3aNpKQk4uLisFqtFNNlqE7vuuU68/bN4+uDXxN5NBKL7e+FpR4JfoQOD3SgfeX2lM5f2riQkqupwCQiIiJpjhz5e8W4Ll1g2DCjE0lu5O/vD8DFixc5c+ZMjr62zWYjMTGRPHnyuPzVU+qra/pnXz08PPD19aVw4cJ4eXkZHU0yITk1mbVH1jJv7zxWHVpFyr6UtGMPF32YTlU68XTlpylToIyBKUXsVGASERERAK5cgRYtIDYWHn0UvvhCK8aJcfz9/fH398dsNmOxWO7+hCxiNpvZvn07devWdfnVStVX13Sjr/Xr18fX19flC2quyGqzsvPkThb8uoCvDnzFlaQracfKB5anS9UudKrSiQpBFQxMKXIzFZhERESE1FTo0AEOHYISJWD5cq0YJ47B09MzRwsC7u7upKam4uPj4/KFCPXVNd3oq5eXl4pLTubI5SPM3TuXeb/O4/iV42n7g/2C6Vi5IyGxIfRv119Xo4nDUoFJREREePVViIwEX19YuRKKFjU6kYiIiOuLS4pjyW9L+HLvl0Sdikrb7+flR/vK7elatSv1S9fHarGyZs0aFQ3FoanAJCIikstNmwZTpti358+HatWMzSMiIuLKrDYrW45tYfae2Sw7uIzE1EQA3ExuhN8XTo8He9CqYit8PX3/fo7FervTiTgMFZhERERysY0bYcAA+/aYMdCmjbF5REREXNXp+NPM/mU2s/bMSncLXOVClXm22rN0rdqVYn5a7U+clwpMIiIiudThw/D002CxQLdu8OabRicSERFxLanWVFYfXs2M3TNYe2QtVpv9SiR/b386V+nMs9WepWbxmrr1TVyCCkwiIiK5UGwstGxpXznuscdgxgytGCciIpJVTsad5IvdX/DF7i+ISYhJ21+3VF16V+9N20pt090CJ+IKVGASERHJZcxm+5VLhw9DSAhERICPj9GpREREnJvFamHdkXVMj57Omj/WpF2tVMi3ED2r9eT56s9TvmB5g1OKZB83owOIiIhIzho4EDZtgrx5tWKcq5o6dSplypTBx8eH0NBQduzYcdu2MTExdOnShQoVKuDm5sbAgQPveO7FixdjMplo3bp1VscWEXFKl65fYtx34yj3STlaLGrBqsOrsNqsNCjTgCXtl3B60GnGhY1TcUlcnkMWmKZNm8aDDz6Iv78//v7+1KpVi7Vr16Ydt9lsjBw5kuDgYPLkyUP9+vX57bff0p0jOTmZAQMGEBQURN68eXnqqac4ffp0TndFRETEoXz6KUydar8dbv58eOghoxNJVluyZAkDBw5k+PDh/PLLLzzxxBM0bdqUkydP3rJ9cnIyhQoVYvjw4Tx0l1+IEydOMGTIEJ544onsiC4i4lSiz0bTc3lPik8szhsb3+D4leMU8CnAoMcGceilQ2zqsYkOD3TAy93L6KgiOcIhC0wlSpTg/fff5+eff+bnn3+mQYMGtGrVKq2ING7cOCZOnMiUKVP46aefKFq0KGFhYVy9ejXtHAMHDiQiIoLFixezc+dOEhISaNGiBRaLxahuiYiIGGrDBnjlFfv22LGgC1Bc08SJE+nVqxfPP/88lSpV4qOPPiIkJIRp06bdsn3p0qWZPHkyPXr0ICAg4LbntVgsdO3alVGjRlG2bNnsii8i4tDMFjNf/fYVdWbVocaMGny590uSLclUL1adWU/N4sygM3zY+ENdrSS5kkPOwdSyZct0j9977z2mTZvGrl27qFy5Mh999BHDhw+nbdu2AHz55ZcUKVKEhQsX0qdPH+Li4pg5cybz5s2jUaNGAMyfP5+QkBA2btxI48aNc7xPIiIiRvr9d+jQwb5iXI8e8PrrRieS7JCSkkJ0dDRv/mtJwPDwcKKiou7p3O+88w6FChWiV69ed7zl7obk5GSSk5PTHsfHxwNgNpsxm833lCU73cjmyBmzivrqmtTX7HE58TIzfpnBZ9Gfcfqq/c4YTzdP2lVqR/8a/akZ/PdKcNmRRz9X1+Qsfc1oPocsMP2TxWLh66+/5tq1a9SqVYtjx45x7tw5wsPD09p4e3tTr149oqKi6NOnD9HR0ZjN5nRtgoODqVKlClFRUbctMDnrG6F/cpZfUFeiMc9ZGu+cpzHPWdkx3pcvQ8uWHsTFmahVy8qnn1pITc2y0zuk3Pr7evHiRSwWC0WKFEm3v0iRIpw7dy7T5/3uu++YOXMme/bsyfBzxo4dy6hRo27av2HDBnx9HX/lpMjISKMj5Bj11TWpr1njbPJZVv61ks2XN5NstX9WDPAIoEnBJjQOakygZyCX9l5i7d61dzlT1tDP1TU5el+vX7+eoXYOW2Dat28ftWrVIikpiXz58hEREUHlypXTvn271RunEydOAHDu3Dm8vLwoUKDATW3u9ObK2d8I/ZOj/4K6Io15ztJ45zyNec7KqvFOTTUxalQtjhwpRKFC1+nTZxubNqVkybkdWUbfCLmqG9+i32Cz2W7al1FXr16lW7duzJgxg6CgoAw/b+jQoQwaNCjtcXx8PCEhIYSHh+Pv75+pLDnBbDYTGRlJWFgYnp6eRsfJVuqra1Jfs0bUqSg+/OFDVh1ehQ0bAA8VeYiXa75Mh0od8PbwztLXuxv9XF2Ts/T1xsU3d+OwBaYKFSqwZ88erly5wtKlS3nmmWfYtm1b2vHMvHG6WxtnfSP0T87yC+pKNOY5S+Od8zTmOSsrx9tmg/793di3z518+WysXevJgw82yqKkji2jb4RcTVBQEO7u7jd9oXbhwoWbvpzLqKNHj3L8+PF0UxhYrfaltz08PDh06BD33XffTc/z9vbG2/vmD2Cenp5O8bfEWXJmBfXVNamv/53VZmXFoRWM+24c35/+Pm1/i/ItGPTYIOqXrp/pYn1W0c/VNTl6XzOazWELTF5eXpQrVw6AGjVq8NNPPzF58mTeeOMNwH6VUrFixdLa//ONU9GiRUlJSSE2NjbdVUwXLlygdu3at31NZ38j9E/OmNnZacxzlsY752nMc1ZWjPfHH8MXX9hXjFu40ERoaO75+eXW31UvLy9CQ0OJjIykTZs2afsjIyNp1apVps5ZsWJF9u3bl27fW2+9xdWrV5k8eTIhISH3lFlExGgplhTm7Z3H+KjxHLp0CABvd296PNSDQbUGUTGoosEJRZyDwxaY/s1ms5GcnEyZMmUoWrQokZGRPPzww4B9Qstt27bxwQcfABAaGoqnpyeRkZF06NABgJiYGPbv38+4ceMM64OIiEhOWbcOXn3Vvj1uHPxr/QxxYYMGDaJ79+7UqFGDWrVq8fnnn3Py5En69u0L2K/YPnPmDHPnzk17zo25lRISEvjrr7/Ys2cPXl5eVK5cGR8fH6pUqZLuNfLnzw9w034REWdyLeUaM3bPYELUBM5cPQNAfp/89KvRjwGPDqBovqIGJxRxLg5ZYBo2bBhNmzYlJCSEq1evsnjxYrZu3cq6deswmUwMHDiQMWPGcP/993P//fczZswYfH196dKlCwABAQH06tWLwYMHU7BgQQIDAxkyZAhVq1ZNW1VORETEVR08CB07gtUKzz4LgwcbnUhyUseOHbl06RLvvPMOMTExVKlShTVr1lCqVCnA/qXbyZMn0z3nxpd2ANHR0SxcuJBSpUpx/PjxnIwuIpIjriRd4dMfP+WjHz7i4vWLAAT7BTPosUG8EPoCft5+BicUcU4OWWA6f/483bt3JyYmhoCAAB588EHWrVtHWFgYAK+//jqJiYn069eP2NhYHn30UTZs2ICf399/CCZNmoSHhwcdOnQgMTGRhg0bMmfOHNzd3Y3qloiISLa7dAlatID4eHj8cZg2zX6LnOQu/fr1o1+/frc8NmfOnJv22Wy2/3T+W51DRMTRXU68zORdk5n8w2TikuMAKFugLG/WeZMeD/XI8Ym7RVyNQxaYZs6cecfjJpOJkSNHMnLkyNu28fHx4ZNPPuGTTz7J4nQiIiKOKSUF2rWDP/+E0qVh2TK4xdSCIiIiucql65eYtGsSH//wMVdTrgLwQKEHGPbEMDo80AEPN4f8WCzidPR/koiIiAuw2eCll2DbNvDzg5UroVAho1OJiIgYJzYxlonfT+SjHz4iISUBgKqFq/K/ev+jbaW2uJncDE4o4lpUYBIREXEBkyfDjBng5gaLF4PmXhYRkdwqLimOyT9MZuL3E9NuhatWtBr/q/s/WlVspcKSSDZRgUlERMTJrV3790TeEyZAs2bG5hERETHCdfN1pvw4hQ+++4DLiZcBqFK4CqPqj6J1xdYqLIlkMxWYREREnNhvv/29Ytzzz8PAgUYnEhERyVlmi5mZe2fyzrZ3iEmIAaBSUCVG1h9J+8rtVVgSySEqMImIiDipixehZUu4ehXq1YNPP9WKcSIikntYbVZ2xO5g8OeDORp7FIBSAaV458l36Fq1K+5uWkFcJCepwCQiIuKEbqwYd+wYlC0L33wDXl5GpxIREckZm49t5rUNr7H73G4ACuctzFtPvMULoS/g7aElVEWMoAKTiIiIk7HZ4MUXYft28Pe3rxgXFGR0KhERkey37/w+3tj4BmuPrAXAx82HNx5/gyF1hpDPK5/B6URyNxWYREREnMykSTBrln3FuCVLoHJloxOJiIhkr/MJ5xmxZQQzf5mJ1WbFw82DFx5+gZpJNenyeBc8PT2NjiiS66nAJCIi4kRWrYIhQ+zbkyZBkybG5hEREclOSalJTPp+EmN2jiEhJQGA9pXbM6bBGEr7l2bNmjUGJxSRG1RgEhERcRL790PnzvZb5F54AQYMMDqRiIhI9rDZbHxz4Btei3yNE3EnAHgk+BEmNZ5EnZJ1ADCbzUZGFJF/UYFJRETECVy4YF8xLiEB6teHKVO0YpyIiLimfef38fK6l9l6fCsAJfxL8H7D9+lctTNuJjdjw4nIbanAJCIi4uCSk6FtWzh+HMqVs68Yp6kmRETE1VxOvMz/tvyPaT9Pw2qz4uPhwxt13uD1Oq/j6+lrdDwRuQsVmERERBzYjdvhvvsOAgLsK8YVLGh0KhERkaxjtVmZ/cts3tj4BpcSLwH2eZYmhE2gVP5SBqcTkYxSgUlERMSBjR8Pc+f+vWJcxYpGJxIREck6v8T8Qr81/dh1ehcADxR6gI+bfkyDMg0MTiYi/5UKTCIiIg5qxQp480379uTJ0LixsXlERESySlxSHG9tfoupP0/FarOSzysfo+qPYkDNAXi66z5wEWekApOIiIgD+vVX6NLFfovciy9C//5GJxIREbl3NpuNpQeX8vLal4lJiAGg4wMd+TD8Q4r7Fzc4nYjcCxWYREREHMyVK968/LIH165Bw4b2q5e0YpyIiDi7k3En6b+mP6sOrwLg/sD7mdp8Ko3KNjI4mYhkBRWYREREHEhSErz//iOcPGni/vvhq6+0YpyIiDg3i9XCJz9+wlub3+Ka+Rqebp68+fibDHtiGD4ePkbHE5EsogKTiIiIg7DfDufO778XJH9+GytXmggMNDqViIhI5v124Td6rejFD2d+AOCJkk/wWYvPqFSoksHJRCSrqcAkIiLiID74ABYscMPNzcqiRVYqVNA/0yIi4pxSLCl8sPMDRm8fjdlqxt/bn/Fh43m++vO4mdyMjici2UDvXEVERBxARAQMHWrf7t17Hw0bVjY2kIiISCb9EvMLPb/tya/nfwWgRfkWTGs+jRL+JQxOJiLZSQUmERERg/3yC3TrZt/u189CePhxQAUmERFxLmaLmTE7xvDujndJtaYS5BvEx00+plOVTpi0WoWIy1OBSURExEDnzsFTT8H16xAeDhMmWNmwwehUIiIi/82+8/t4Zvkz/HLuFwDaV27P1GZTKZS3kMHJRCSnqMAkIiJikKQkaN0aTp+GChVgyRLw0L/MIiLiRCxWCxOiJjBiywjMVjOBeQKZ2mwqHR7ooKuWRHIZvY0VERExgM0GvXrBDz9AgQKwahXkzw9ms9HJREREMub4leP0iOjBjpM7AHiqwlN81uIziuYranAyETGCCkwiIiIGGDMGFi60X7G0dCmUK2d0IhERkYyx2WzM3Tv+4gHDAAAgAElEQVSXAWsHcDXlKn5efkxuMpme1XrqqiWRXEwFJhERkRy2dCm89ZZ9e8oUePJJY/OIiIhk1OXEy7yw8gWWHlwKQJ2QOsxrM48yBcoYnExEjKYCk4iISA7avRu6d7dvv/IK9OljbB4REZGM2n5iO12XdeV0/Gk83Dx4p/47vF7nddzd3I2OJiIOQAUmERGRHHL2rH3FuMREaNIEJkwwOpGIiMjdpVpTeXf7u4zePhqrzcr9gfezqN0iQoNDjY4mIg5EBSYREZEccP06tGoFZ85ApUqweLFWjBMREcd3Mu4kXZd1ZefJnQD0rNaTT5p+Qj6vfAYnExFHo7e2IiIi2cxmg2efhZ9/hoIFYeVKCAgwOpWIiMidrTq8ih4RPYhNisXPy4/pLabTpWoXo2OJiINSgUlERCSbvfMOfPUVeHrCsmVw331GJxIREbk9s8XM8M3DGR81HoAawTVY3G4x9wXqHzARuT0VmERERLLRkiUwcqR9e9o0qFvX0DgiIiJ3dCruFJ2WdiLqVBQAL9d8mXFh4/D28DY4mYg4OhWYREREsslPP0HPnvbtwYOhVy9D44iIiNzRxj830umbTlxKvIS/tz+znppFu8rtjI4lIk5CBSYREZFscPq0fVLvpCRo3hw++MDoRCIiIrdmtVl5f+f7jNgyAqvNSvVi1fmq/Ve6JU5E/hMVmERERLLYtWv24lJMDDzwACxcCO7uRqcSERG5WVxSHM8sf4ZvD30LQK+HezGl2RR8PHwMTiYizkYFJhERkSxktcIzz8Du3RAUZF8xzt/f6FQiIiI3++3Cb7Re0pojl4/g5e7Fp80+5fnqzxsdS0SclApMIiIiWejtt2HpUvuKcRERUKaM0YlERERuFnEwgu4R3blmvkbJgJJ88/Q3PFL8EaNjiYgTczM6gIiIiKtYuBDefde+/fnn8PjjxuYRERH5N6vNysitI2n7VVuuma/xZOkniX4hWsUlEblnuoJJREQkC+zaBc89Z99+/fW/V48TERFxFFeTr9JjeQ+W/74cgJdrvsyE8Al4unsanExEXIEKTCIiIvfo5Elo3RqSk+Gpp2DMGKMTiYiIpHf8ynFaLmrJ/gv78XL3Ynrz6Tz78LNGxxIRF6ICk4iIyD1ISLAXlc6fh4ceggULtGKciIg4lqhTUbRe3Jq/rv9F0XxFiegYwWMlHjM6loi4GBWYREREMslqhW7dYO9eKFwYVqyAfPmMTiUiIvK3Bb8u4LkVz5FiSaFa0Wqs7LySEv4ljI4lIi5Ik3yLiIhk0vDh8O234O0Ny5dDyZJGJxIREbGz2qyM2DyCbhHdSLGk0Lpia3Y8u0PFJRHJNrqCSUREJBPmzoX337dvz5wJtWoZm0dEROQGs9VMj2978NWBrwB4o84bjGk4BjeTri8QkeyjApOIiMh/9N130Lu3fXv4cOja1dg8IiIiN8QmxjLy6Eh+u/YbHm4efNbiM557+DmjY4lILqACk4iIyH9w/Di0aQMpKdC2LbzzjtGJRERE7I5fOU7T+U35/drv+Hn5sazjMhqVbWR0LBHJJVRgEhERyaCrV6FlS/jrL3j4Yfttcm6620BERBxA9Nlomi9szvlr5ynoWZD1PdYTWjzU6FgikouowCQiIpIBFgt06QL790PRovYV4/LmNTqViIgIRB6NpM2SNlwzX6Nq4aq8EvQKDxZ+0OhYIpLL6HtXERGRDHjzTVi1Cnx87CvHldAiPCIi4gAW7VtE84XNuWa+RsMyDdnSfQtBXkFGxxKRXEgFJhERkbuYNQsmTLBvz5kDNWsaGkdERASAybsm02VZF8xWMx0f6MjqLqvx9/Y3OpaI5FIqMImIiNzB9u3Qt699+3//g44djc0jIiJis9kYtmkYA9cPBGBAzQEsbLcQbw9vg5OJSG6mOZhERERu488/7SvFmc3QoQO8/bbRiUREJLezWC30X9Ofz6I/A+C9Bu8x9PGhmEwmg5OJSG6nApOIiMgtxMXZV4y7dAlq1IDZs7VinIiIGMtsMdPz254s3LcQEyamt5jOC6EvGB1LRARQgUlEROQmqanQqRMcOADBwfZJvX19jU4lIiK5WVJqEh2/6ciKQyvwcPNgXpt5dKrSyehYIiJpVGASERH5lyFDYN06yJMHVqywF5lERESMkpCSQKvFrdh8bDM+Hj588/Q3NC/f3OhYIiLpqMAkIiLyD599BpMn27fnzYPQUGPziIhI7hafHE/TBU2JOhVFPq98rOy8kvql6xsdS0TkJiowiYiI/L/Nm+Gll+zbo0dDu3bG5hERkdztStIVGs9vzI9nfiS/T37Wd1tPzeI1jY4lInJLDjld6dixY3nkkUfw8/OjcOHCtG7dmkOHDqVr07NnT0wmU7r/HnvssXRtkpOTGTBgAEFBQeTNm5ennnqK06dP52RXRETESRw+DO3b2+df6tIFhg83OpGIiORmlxMv02huI3488yOBeQLZ3GOziksi4tAcssC0bds2+vfvz65du4iMjCQ1NZXw8HCuXbuWrl2TJk2IiYlJ+2/NmjXpjg8cOJCIiAgWL17Mzp07SUhIoEWLFlgslpzsjoiIOLjYWPuKcbGx8OijMHMmaLVnERExysXrF2k4tyHRMdEE+Qax5ZktPFzsYaNjiYjckUPeIrdu3bp0j2fPnk3hwoWJjo6mbt26afu9vb0pWrToLc8RFxfHzJkzmTdvHo0aNQJg/vz5hISEsHHjRho3bpx9HRAREadhNsPTT9uvYAoJgeXLwcfH6FQiIpJbXbx+kQZfNmDfhX0UyVuETT028UDhB4yOJSJyVw55BdO/xcXFARAYGJhu/9atWylcuDDly5end+/eXLhwIe1YdHQ0ZrOZ8PDwtH3BwcFUqVKFqKionAkuIiIOzWaDl1+GTZsgb15YuRJu872FiIhItrtxW9y+C/solq8YW3tuVXFJRJyGQ17B9E82m41Bgwbx+OOPU6VKlbT9TZs25emnn6ZUqVIcO3aMESNG0KBBA6Kjo/H29ubcuXN4eXlRoECBdOcrUqQI586du+VrJScnk5ycnPY4Pj4eALPZjNlszobeZb0bOZ0lryvQmOcsjXfOc+UxnzrVjenT3TGZbMyda6FyZRtGd9OVxzsnafxExNnEJsYSNi+Mvef3UiRvEbY8s4UKQRWMjiUikmEOX2B66aWX+PXXX9m5c2e6/R07dkzbrlKlCjVq1KBUqVKsXr2atm3b3vZ8NpsN020m1hg7diyjRo26af+GDRvw9fXNZA+MERkZaXSEXEdjnrM03jnP1cb8l18KMXp0LQC6dz+Au/sR/jWVn6Fcbbxz2vXr142OICKSYXFJcTSe35jdMbsp5FuIzc9sVnFJRJyOQxeYBgwYwIoVK9i+fTslSpS4Y9tixYpRqlQp/vjjDwCKFi1KSkoKsbGx6a5iunDhArVr177lOYYOHcqgQYPSHsfHxxMSEkJ4eDj+/v5Z0KPsZzabiYyMJCwsDE9PT6Pj5Aoa85yl8c55rjjmBw9Cjx4eWK0mune3MmNGeUym8kbHAlxzvI1w4ypkERFHF58cT5MFTfjp7E8UzFOQzc9spnKhykbHEhH5zxyywGSz2RgwYAARERFs3bqVMmXK3PU5ly5d4tSpUxQrVgyA0NBQPD09iYyMpEOHDgDExMSwf/9+xo0bd8tzeHt74+3tfdN+T09Pp3uT74yZnZ3GPGdpvHOeq4z5pUvQpg3Ex8Pjj8OMGW54eTnelISuMt5G0diJiDO4br5Oy0Ut2XV6FwV8CrCxx0aqFK5y9yeKiDgghyww9e/fn4ULF/Ltt9/i5+eXNmdSQEAAefLkISEhgZEjR9KuXTuKFSvG8ePHGTZsGEFBQbRp0yatba9evRg8eDAFCxYkMDCQIUOGULVq1bRV5UREJHdJSYF27eDPP6F0aVi2DG7xvYKIiEi2S7Gk0P6r9mw/sR1/b38iu0dSrWg1o2OJiGSaQxaYpk2bBkD9+vXT7Z89ezY9e/bE3d2dffv2MXfuXK5cuUKxYsV48sknWbJkCX5+fmntJ02ahIeHBx06dCAxMZGGDRsyZ84c3N3dc7I7IiLiAGw26NcPtm0DPz9YtQoKFTI6lYiI5Eap1lS6LuvK2iNr8fX0ZU2XNYQGhxodS0Tknjhkgclms93xeJ48eVi/fv1dz+Pj48Mnn3zCJ598klXRRETESU2aBDNngpsbLFkCD2jVZxERMYDVZqX3yt58c+AbvNy9WN5xOXVK1jE6lojIPXO8SSdERESy2KpVMGSIffvDD6FpU2PziIhI7mSz2Xh13avM2TMHd5M7i9stJuy+MKNjiYhkCRWYRETEpe3bB50722+Re+EFeOUVoxOJiEhu9d6O9/j4x48BmNN6Dm0qtTE4kYhI1lGBSUREXNaFC9CyJSQkQP36MGUKmExGpxIRkdzo8+jPGbFlBAAfN/mYbg92MziRiEjWUoFJRERcUlIStGkDJ05AuXKwdClo5XoRETHCsoPLeHH1iwAMf2I4Ax4dYHAiEZGspwKTiIi4nBu3w0VFQUCAfQ6mwECjU4mISG607fg2uiztYp/cu3pvRj852uhIIiLZItOryFksFnbv3s3evXv566+/iIuLIyAggEKFClGtWjWqV6+Om5vqVyIikvPefx/mzQN3d/jmG6hQwehEIiKSG/16/leeWvwUyZZkWldszdTmUzHpXm0RcVH/ucC0bt06ZsyYwYYNG7h+/TpgXw3hhht/MH19fWncuDG9e/emcePGWRRXRETkzpYtg2HD7NsffwyNGhmbR0REcqfT8adptqAZ8cnx1C1Vl0XtFuHhlunv90VEHF6G/8ItXryYt956i2PHjmGz2ShcuDD169enYsWKBAYG4u/vT1xcHLGxsRw8eJCffvqJZcuWERERQdmyZXn33Xfp2LFjdvZFRERyuV9+ge7d7dsvvQT9+hmbR0REcqe4pDiaLWjGmatnqFyoMss7LsfHw8foWCIi2SpDBaaaNWsSHR1N6dKlGTZsGF26dKFSpUp3fd6BAwdYsGABixcvpnPnzkycOJEffvjhnkOLiIj8W0yMfcW469chPBwmTTI6kYiI5EYplhTaf92efRf2UTRfUdZ0WUOBPAWMjiUiku0yNEnStWvXWLBgAUeOHGH06NEZKi4BVK5cmffee48jR46wYMECEhIS7imsiIjIrSQmQqtWcOYMVKwIS5aAh+5CEBGRHGaz2Xhh5Qts/HMjeT3zsrrLakrlL2V0LBGRHJGht9/79++/p8noTCYTnTt3plOnTpk+h4iIyK3YbNCzJ/z0k32luFWrIH9+o1OJiEhuNGrbKL7c+yXuJne+fvprqherbnQkEZEck6ErmLJqpQOtmCAiIllt1Cj46ivw9LRP8H3ffUYnEhGR3GjhvoWM2jYKgKnNp9L0/qYGJxIRyVkZKjDdzu+//05KSkpWZREREflPFi+2F5gApk2DevWMzSMiIrnT96e+57lvnwPg9dqv80LoCwYnEhHJeRkuMB0+fJiHHnqIatWqcezYMVq0aEHlypUpUaIE+/bty86MIiIiN/nxR3j2Wfv24MHQq5exeUREJHc6fuU4rZe0JtmSTKsKrRjbaKzRkUREDJHhAtOQIUMoXLgwfn5+tG/fntTUVJYsWcKjjz7KyJEjszGiiIhIeqdO2Sf1TkqCFi3ggw+MTiTiWKZOnUqZMmXw8fEhNDSUHTt23LZtTEwMXbp0oUKFCri5uTFw4MCb2syYMYMnnniCAgUKUKBAARo1asSPP/6YnV0QcQrxyfG0XNSSC9cuUK1oNea3nY+b6Z5uEhERcVoZXmNnz549/PHHHyQmJhIUFMS5c+cICgoiLCyMatWqZWdGERGRNAkJ8NRTcO4cVK0KCxeCu7vRqUQcx5IlSxg4cCBTp06lTp06fPbZZzRt2pQDBw5QsmTJm9onJydTqFAhhg8fzqRJk255zq1bt9K5c2dq166Nj48P48aNIzw8nN9++43ixYtnd5dEHJLFaqHL0i7sv7CfovmKsrLzSvJ55TM6loiIYTJcXvfx8cHb25v8+fNTqlQpgoKCAMifPz+enp7ZFlBEROQGqxW6d4c9e6BwYVi5Evz8jE4l4lgmTpxIr169eP7556lUqRIfffQRISEhTJs27ZbtS5cuzeTJk+nRowcBAQG3bLNgwQL69etHtWrVqFixIjNmzMBqtbJp06bs7IqIQxu6aSir/1iNj4cPKzqtoIR/CaMjiYgYKsMFJpvNlrY9dmz6+4rNZnPWJRIREbmN4cNh+XLw8oKICChVyuhEIo4lJSWF6OhowsPD0+0PDw8nKioqy17n+vXrmM1mAgMDs+ycIs5k4b6FjI8aD8CcVnN4pPgjBicSETFehm+RCwsL4+zZswQHB9OhQ4e0/bt27SI4ODhbwomIiNzw5Zfw/vv27ZkzoXZtY/OIOKKLFy9isVgoUqRIuv1FihTh3LlzWfY6b775JsWLF6dRo0a3bZOcnExycnLa4/j4eMD+xaQjfzl5I5sjZ8wq6mvm7I7ZTa8V9pUlXq/9Om0rtHWoMdTP1TWpr67JWfqa0XwZLjBNnTr1lvtr1KjBli1bMnoaERGR/2znTujd2749bBh062ZsHhFHZzKZ0j222Ww37cuscePGsWjRIrZu3YqPj89t240dO5ZRo0bdtH/Dhg34+vpmSZbsFBkZaXSEHKO+ZtwV8xUGHx5MUmoSof6hPHrtUdasWZNF6bKWfq6uSX11TY7e1+vXr2eoXYYLTLc9gYcHHh73fBoREZFb+vNPaNMGzGZo1w5GjzY6kYjjCgoKwt3d/aarlS5cuHDTVU2ZMWHCBMaMGcPGjRt58MEH79h26NChDBo0KO1xfHw8ISEhhIeH4+/vf89ZsovZbCYyMpKwsDCXn2dUff1vUiwpNF7QmEvmS5QPLM+6nusI8Ln1vGVG0s/VNamvrslZ+nrjKuS7yXRlaPTo0YwYMSKzTxcREbmr+Hho2RIuXoTq1e23yblp9WeR2/Ly8iI0NJTIyEjatGmTtj8yMpJWrVrd07nHjx/Pu+++y/r166lRo8Zd23t7e+Pt7X3Tfk9PT4d+E32Ds+TMCuprxryy4RW+O/0d/t7+rOi8giC/oCxOl7X0c3VN6qtrcvS+ZjRbpt+mz5s3L7NPFRERuavUVOjUCQ4cgGLFYMUKyJvX6FQijm/QoEF88cUXzJo1i4MHD/Lqq69y8uRJ+vbtC9ivLOrRo0e65+zZs4c9e/aQkJDAX3/9xZ49ezhw4EDa8XHjxvHWW28xa9YsSpcuzblz5zh37hwJCQk52jcRo3y550um/TwNEyYWtl1IhaAKRkcSEXE4mb6C6Z+ryomIiGS1IUNg7VrIk8deXCpe3OhEIs6hY8eOXLp0iXfeeYeYmBiqVKnCmjVrKPX/yy7GxMRw8uTJdM95+OGH07ajo6NZuHAhpUqV4vjx44B9Ls6UlBTat2+f7nlvv/02I0eOzNb+iBhtz7k99F1tL9C+Xe9tmpdvbnAiERHHlOkCU1ZNFCkiIvJvn30Gkyfbt+fOhQzcjSMi/9CvXz/69et3y2Nz5sy5ad/dvji8UWgSyW1iE2Npu6QtSalJNLu/GSPqaYoQEZHb0UwWIiLiUDZtgv797dujR8O/LpgQERHJEVablW4R3Th25Rhl8pdhXpt5uJn08UlE5Hb0F1JERBzGoUP2gpLFAl27wvDhRicSEZHc6t3t77LmjzX4ePiwtMNSAvMEGh1JRMShqcAkIiIO4fJl+4pxV65ArVrwxRegu7FFRMQIkUcjGbl1JADTmk/j4WIP3/kJIiKS+QKTJvkWEZGsYjbbr1z64w8oWRIiIsDHx+hUIiKSG529epauy7piw0bv6r3pWa2n0ZFERJxCpgtMrVu3zsocIiKSS9ls9jmXtmyBfPlg1SooUsToVCIikhulWlPpsrQLf13/iweLPMjkJpONjiQi4jQyXWAaP358VuYQEZFc6qOPYMYM++1wixZB1apGJxIRkdxq1NZRbDuxjXxe+fj66a/J45nH6EgiIk5DczCJiIhhVq+GIUPs2xMmQIsWxuYREZHca8PRDby34z0APm/xOeULljc4kYiIc/G41xNcuHCBmJgYkpOTb9umZs2a9/oyIiLiYvbvh86dwWqF55+HV181OpGIiORWZ6+epduybtiw0Se0D52rdjY6koiI08l0gWnBggW8++67HD58+K5tLRZLZl9GRERc0IUL9quVrl6F+vXh00+1YpzkHsnJySxatIjt27ff8Us6k8nEpk2bcjidSO5jsVrotqwbf13/i4eKPMRHTT4yOpKIiFPKVIHpiy++oE+fPthsNipVqsR9991H3rx5szqbiIi4oKQkaNMGTpyAcuVg6VLw8jI6lUjOOHPmDA0bNuSPP/6464q8JlVdRXLEuO/GseX4FvJ65uWrp7/Cx0PLmIqIZEamCkzjx4/H09OTZcuW0axZs6zOJCIiLspmgxdegKgoyJ/fvmJcYKDRqURyzmuvvcbhw4epXbs2gwcPpnz58uTLl8/oWCK51q7TuxixZQQAU5pN0bxLIiL3IFMFppMnT1K/fn0Vl0RE5D8ZOxbmzQN3d/j6a6hQwehEIjlr/fr1lCxZko0bN+Ljo6skRIwUlxRHl6VdsNgsdKrSiWceesboSCIiTi1Tq8iVKFECNzctQCciIhm3dCkMH27fnjIFGjUyNo+IEZKTk3nkkUdUXBIxmM1m48XVL3LsyjFK5y/N9ObTdVuqiMg9ylSVqHv37uzatYsLFy5kdR4REXFBP/8M3bvbt195Bfr2NTaPiFGqVq3K6dOnjY4hkuvN3TuXRfsX4W5yZ2HbhQT4BBgdSUTE6WWqwDRs2DAeffRRmjVrxo8//pjVmURExIWcOQOtWkFiIjRtCh9+aHQiEeO88cYb/PTTT2zbts3oKCK51p+xf/LS2pcAGFV/FLVCahmcSETENWRqDiYPDw/mz59PvXr1qFWrFnnz5qV48eK3vKzUZDLx22+/3XNQERFxPteuwVNPwdmz8MADsHixff4lkdyqevXqDB48mJYtWzJo0CDCwsIoUaLEbW/NKVmyZA4nFHFtFquF7hHdSUhJ4ImST/Dm428aHUlExGVkqsD0xx9/8OSTTxITE4PNZiMhIYFDhw7dsq3uZRYRyZ2sVujRA3bvhqAgWLkS/P2NTiVirNKlS2MymbDZbIwePZrRo0fftq3JZCI1NTUH04m4vvHfjyfqVBR+Xn7MbTMXdzd96yEiklUyVWAaNGgQZ8+epXPnzrz66quULVuWvHnzZnU2ERFxYm+9BcuWgZcXLF8OZcoYnUjEeHXr1tWXbyIGOXr9KO/8+g4AnzT9hNL5SxsbSETExWSqwLRjxw6qVKnCggULsjqPiIi4gLlzYexY+/bMmVCnjrF5RBzF1q1bjY4gkislmhOZdGISqdZU2lVqR4+HehgdSUTE5WRqkm8PDw8qVqyY1VlERMQF7NwJvXvbt4cNg27djM0jIiIyfMtwTiefpmjeokxvMV1XEoqIZINMXcFUt25d9u7dm9VZRETEyf35J7RpAykp0K4d3GF6GREBLl26xNmzZzGZTBQrVoyCBQsaHUnE5Wz8cyNTfp4CwIwWMwjyDTI4kYiIa8rUFUwffPABFy5cYMSIEVmdR0REnFRcHLRsCRcvQmio/TY5t0z9KyPi+qZPn07lypUpXLgw1apV46GHHqJw4cI88MADTJ8+3eh4Ii4jPjme5759DoAmBZvQ+L7GBicSEXFdmbqCKSIigrZt2zJmzBgiIiJo0KABxYsXv+2lpq+//vo9hRQREceWmgqdOsGBAxAcDN9+C76+RqcScTxWq5UOHToQERGBzWYjf/78lCpVCoCTJ09y8OBB+vfvz8aNG/n66691G4/IPRq8fjCn4k9RNn9Zngl+xug4IiIuLVMFpjfffDNtid0DBw5w4MCB27Y1mUwqMImIuLhBg2DdOsiTB1auhOLFjU4k4pg+//xzli1bRoUKFRg/fjwtWrRId3z16tW89tprRERE8Pnnn9OnTx+Dkoo4v/VH1vPFL18A9lvjru6/anAiERHXlqkC09SpU/WNmoiIADB1KnzyiX17/nyoXt3YPCKObPbs2fj7+7N161aKFCly0/HmzZsTGhpKhQoVmDVrlgpMIpl0JekKvVb0AuCVR1/hiZJPsGb/GoNTiYi4tgwVmC5cuECePHnw8/MDoG/fvtkaSkREnMOGDfDyy/btsWOhbVtj84g4ugMHDhAWFnbL4tINRYsWpWHDhkRGRuZgMhHXMmj9IM5cPUO5wHKMaTjG6DgiIrlChqZfLVasGAMHDkx73K9fP+bNm5dtoURExPEdOABPPw0WC/ToAW+8YXQiEdehK8VFMm/14dXM3jMbEybmtJqDr6cmBRQRyQkZKjDZbDasVmva4+nTp7Nly5ZsCyUiIo7t4kX7inHx8fD44/D556DPwyJ3V6FCBbZs2cKlS5du2+bixYts3ryZChUq5GAyEddwJekKL6x6AYBBtQZRp2QdgxOJiOQeGSow+fv7c+bMmezOIiIiTiA52X4r3J9/QpkyEBEB3t5GpxJxDs888wxxcXE0atSIbdu23XR869athIWFER8fT8+ePXM+oIiTez3ydc5ePcv9gfcz+snRRscREclVMjQHU2hoKFu2bOHFF1+kTJkyAOzbt49x48Zl6EW0ipyIiGuw2aBPH9ixA/z9YdUqCAoyOpWI8+jXrx/r1q1j7dq1NGjQgKJFi1K6dGlMJhPHjh3j3Llz2Gw2mjVrRr9+/YyOK+JUthzbwozdMwD44qkvyOOZx+BEIiK5S4YKTGPHjqVly5Z89tlnafuio6OJjo6+63NNJpMKTCIiLuKDD+DLL8HdHb76CipXNjqRiHNxd3dn5cqVTJo0iY8//phTp04RExOTdrxkyZIMGDCAV199FTe3DF1oLlDQfZIAACAASURBVCLAdfN1eq/sDUDf0L7ULVXX4EQiIrlPhgpMNWvW5PDhw0RFRXHq1Cn69u1LrVq16NGjR3bnExERBxERYWLoUPv25MnQuLGxeUSclZubG4MHD2bw4MGcOnWKs2fPAhAcHExISIjB6USc09tb3uZo7FFK+Jfgg7APjI4jIpIrZajABBAQEEDTpk0B6Nu3LxUqVKBPnz7ZFkxERBzHkSMBjBjhDsBLL0H//gYHEnERISEhKiqJ3KOfzvzExF0TAZjefDr+3v4GJxIRyZ0yXGD6p4MHDxIQEJDVWURExAGdOQNjxjxKYqKJxo1h0iSjE4mIiNilWFJ4fuXzWG1WulTtQvPyzY2OJCKSa2WqwJTdy+aOHTuWZcuW8fvvv5MnTx5q167NBx98kO51bTYbo0aN4vPPPyc2NpZHH32UTz/9lAceeCCtTXJyMkOGDGHRokUkJibSsGFDpk6dSokSJbI1v4iIq7h2Ddq29eDyZU8qVbKxZIkJj0z9yyGSOz333HOYTCbGjBlDkSJFeO655zL8XJPJxMyZM7MxnYjz+zDqQ349/ytBvkF81Pgjo+OIiORq2fYx4fLly6SmpgJQuHDh//Tcbdu20b9/fx555BFSU1MZPnw44eHhHDhwgLx58wIwbtw4Jk6cyJw5cyhfvjzvvvsuYWFhHDp0CD8/PwAGDhzIypUrWbx4MQULFmTw4MG0aNGC6Oho3N3ds7bDIiIuxmqF7t3hl19M+Psns3y5GwEBnkbHEnEqc+bMwWQy8cYbb1CkSBHmzJmT4eeqwCRyZ0cvH+Wd7e8AMDF8IoXyFjI4kYhI7pZtBaY6depw+PBhTCZTWqEpo9atW5fu8ezZsylcuDDR0dHUrVsXm83GRx99xPDhw2nbti0AX375JUWKFGHhwoX06dOHuLg4Zs6cybx582jUqBEA8+fPJyQkhI0bN9JYs9OKiNzR8OEQEQFeXjaGDv2RMmUeMzqSiNPZsmULYF8d7p+PReTe2Gw2+q3pR1JqEg3LNKTbg92MjiQikutlW4HJZrOl/Xev4uLiAAgMDATg2LFjnDt3jvDw8LQ23t7e1KtXj6ioKPr06UN0dDRmszldm+DgYKpUqUJUVNQtC0zJyckkJyenPY6PjwfAbDZjNpvvuR854UZOZ8nrCjTmOUvjnTPmzjXx/vv2fyKmTk0hKOiyxjyH6Hc8azjK+NWrV++Oj0Ukc5b8toQNRzfg7e7NtObTMJlMRkcSEcn1sq3AtG/fPqxW6z2fx2azMWjQIB5//HGqVKkCwLlz5wAoUqRIurZFihThxIkTaW28vLwoUKDATW1uPP/fxo4dy6hRo27av2HDBnx9fe+5LzkpMjLS6Ai5jsY8Z2m8s89vvxXk7bdrA/D004cICvod0JjnNI33vbl+/brREW5p+/btFC1alPLly9+x3R9//EFMTAx169bNoWQiziM2MZaB6wYCMPyJ4dxf8H6DE4mICGRjgcnTM2vm6XjppZf49ddf2blz503H/v1Nhc1mu+u3F3dqM3ToUAYNGpT2OD4+npCQEMLDw/H3d47lTs1mM5GRkYSFhWXZz0DuTGOeszTe2evIEXjuOQ9SU020bWtl3ryyWCwhGvMcpN/xrHHjKmRHU79+fZ599tm7zq00btw4Zs2ahcViyaFkIs5j6KahnL92nopBFXm9zv+xd+fhMd77/8efk12UkFARQu30Z0ujdrWHoEopPYilOG1pieVYW4e2KG1RijotYm2cokRwSGjtamtrae2x9KDWChUkmfv3x3zlNLXFZJI7mbwe1+U699z3Z2Ze981pJu/53O/PELPjiIjI/0lTgWn27Nm88sormV5kefvtt4mKimLz5s2pVn7z9/cHbLOUChcunLL/4sWLKbOa/P39uXv3LteuXUs1i+nixYvUrl37ge/n6emJp6fnffvd3d2z3Yf87Jg5u9M1z1y63o73++/w8stw9SpUqwYLFrjg6enCvTuNdM0zl653+mTla5eW9gGOaDEg4oy2n93OrL2zAJjVahaebvd/dhcREXO4pGVQ79698ff3p2PHjkRHRz9x0+4nZRgGb731FsuXL2fjxo2UKFEi1fESJUrg7++f6vaBu3fvsmnTppTiUXBwMO7u7qnGnD9/noMHDz60wCQiklMlJsIrr8Dhw1C0KKxcCdnszmARp3Lu3Dmeeuops2OIZClJ1iTeiH4DgB5Ve/BCcd1CKiKSlaRpBlODBg3YvHkzX3/9NUuXLsXX15dXX32Vzp07U7Om41cV6tu3L4sXL2blypXkyZMnpWeSj48PuXLlwmKxEB4ezrhx4yhTpgxlypRh3LhxeHt706lTp5SxPXv2ZNCgQfj5+eHr68vgwYOpVKlSyqpyIiIChgFvvw2xsZA7N6xaBQEBZqcScR7z589P9fj48eP37bsnKSmJI0eOEBsbmyGfsUSys892fcaBiwfwzeXLxKYTzY4jIiJ/kaYC08aNGzl37hyLFi1i0aJF7N+/n+nTpzNjxgxKlixJWFgYnTt3plSpUg4JNXPmTMBW2PqzuXPn0r17dwCGDBlCQkICffr04dq1a9SoUYP169eTJ0+elPGTJ0/Gzc2NDh06kJCQQOPGjYmIiMDV1dUhOUVEnMHUqTBrFlgssHgxVK1qdiIR59K9e/eU/o8Wi4Vt27axbdu2h443DAMvLy9GjRqVWRFFsrzzN84z6lvb/yfGNx5PAe8CJicSEZG/SnOT74CAAP7xj3/wj3/8g59//pkFCxbw1VdfceLECcaMGcOYMWOoWbMmYWFhdOjQAV9fX7tDpaXvgMViYfTo0YwePfqhY7y8vJg2bRrTpk2zO4uIiDNbvRrurW3w0UfQurW5eUSc0ahRo7BYLBiGwXvvvUfVqlV56aWXHjjWw8ODgIAAQkJCUvWZFMnp/hHzD27cvUH1ItXp9Vwvs+OIiMgD2LWK3LPPPsv48eMZP348W7ZsYcGCBSxbtowdO3awc+dOwsPDad68OV26dKF169Z4eHg4OreIiKTT/v3w6qtgtUKvXv8rNImIY/35y7CIiAiaNGnCP//5T/MCiWQzm05tYtGBRViwML3FdFwsaWojKyIimcyuAtOf1atXj3r16jF9+nSio6NZtGgRa9asYdWqVaxatQofHx+uXr3qiKwiIuIgFy7Aiy/CzZvQsCFMn267RU5EMtapU6fMjiCSrSQmJ9J3TV8AXg9+nWoB1UxOJCIiD+Ow8r+7uztt27bl66+/Zt68efj6+mIYBtevX3fUW4iIiAMkJECbNnDmDJQtC0uXgiaaimSOs2fPMn/+fI4ePfrQMUeOHGH+/Pn8+uuvmZhMJGua+v1UDl06RAHvAoxtPNbsOCIi8ggOKzDt27ePgQMHUqRIEV599VWuXLmCq6srzZs3d9RbiIhIOlmt0L07fP89+PpCdLTtf0Ukc0yaNInXXnvtkQuOuLm50aNHDz799NNMTCaS9Zy7cY7Rm0YDMKHJBHxz6QeWiEhWlq5b5OLi4li8eDGLFi3iyJEjKc25g4KCCAsLo1OnTjz99NMOCSoiIuk3Zgz8+9/g7g7Ll0OZMmYnEslZ1q9fT+XKlR+58m6pUqWoUqUK//nPf/joo48yMZ1I1jIsdhg3796kRpEadK/a3ew4IiLyGE9cYLp69SpLlixh0aJF7NixA7Ct+la0aFE6d+5MWFgYzz77rMODiohI+ixaBO+9Z9ueNQvq1zc3j0hOdObMGUJDQx87rnTp0qxfvz4TEolkTTt/3cmC/QsAmBY6TY29RUSygTQVmG7fvk1UVBQLFy5k3bp1JCUlYRgGefLkoV27doSFhdGgQQMs6hArIpIlbd8Or71m2x46FHr0MDePSE5lsVhITEx87LjExESSkpIyIZFI1mM1rPRb2w+AHlV78HyR501OJCIiaZGmAlOhQoW4efMmhmHg5uZG8+bNCQsLo02bNnh5eWV0RhERSYe4OFtT77t3oW1bGDfO7EQiOVeZMmXYunUrCQkJ5MqV64FjEhIS2Lp16yNvoxNxZvN+nMfuc7vJ45GHcY31Q0tEJLtI01zTGzduEBQUxOTJk/n1119ZvXo1r776qopLIiJZ3PXr0KoVXLoEzz0HCxaAi+4yEDFN+/btuXLlCn//+99JSEi47/jt27d5/fXXuXr1Ku3btzchoYi54u/EM3zDcABG1R+F/1P+JicSEZG0StMMpkOHDlGhQoWMziIiIg6UlAQdOsDPP0ORIrBqFeTObXYqkZytf//+LFy4kMWLF7Nx40Y6d+5MqVKlsFgsHD9+nEWLFnHhwgXKli3LgAEDzI4rkune3/Q+v/3xG2X9ytKvRj+z44iIyBNIU4HpUcWlq1evsnfvXi5fvkzx4sWpXbu2w8KJiIh9DAP69YP168HbG6KiICDA7FQi4u3tzYYNG+jSpQsbN27k448/TulheW813oYNG7JgwQKeeuopM6OKZLqjV47y6fefAjC52WQ8XD1MTiQiIk/iiVeRu+e3336jX79+LF++HKvVCkC3bt1SCkwzZszgnXfeYeXKldSrV88xaUVEJE2mToWZM8FigcWLbbfHiUjW4O/vT2xsLLt37yY2NpazZ88CEBgYSJMmTXj+eTU0lpxp0PpBJFoTaVGmBS3KtDA7joiIPCG7CkyXL1+mdu3axMXFERQURJ06dfjss89SjWnTpg39+/dn6dKlKjCJiGSi1ath4EDb9sSJ8NJL5uYRkQd7/vnnVUwS+T+xJ2OJPhqNm4sbk0ImmR1HRETsYFer1/fff5+4uDjee+899u7dy9SpU+8bExAQQIUKFdi8eXO6Q4qISNrs3w+vvgpWK/TqBYMGmZ1IRETk0ZKtyQxab/uB1adaH8oVKGdyIhERsYddM5iioqKoUKEC77zzziPHFS9enJ07d9oVTEREnsz587YV427ehEaNYMYM2y1yIpI1HTp0iGPHjnHjxo2U/kt/1bVr10xOJZL5In6MYP9v+8nnlY9R9UeZHUdEROxkV4Hp/PnzvJSGey68vLy4ceOGPW8hIiJP4NYt261wZ89CuXKwdCm4u5udSkQeJDY2lj59+nDixImHjjEMA4vFogKTOL2bd2/yzre2L61HvTAKP28/kxOJiIi97Cow+fj48N///vex444dO4a/v789byEiImlktUK3brB7N/j6QnQ05M9vdioReZA9e/bQsmVLLBYLnTp14sCBAxw4cIBhw4Zx4sQJYmNjuXbtGj169KBYsWJmxxXJcBO3TeTCzQuU9i1N3+p9zY4jIiLpYFcPptq1a7Nr1y4OHTr00DHbtm1j//79vPDCC3aHExGRx3v33f/NWPrmGyhd2uxEIvIw48ePJykpiVWrVrFgwQKCgoIAGDt2LJGRkRw/fpz27dsTHR3Na6+9ZnJakYx19vpZPt7+MQATm0zEw9XD5EQiIpIedhWYBg0aRHJyMq1bt2bDhg1YrdZUx7du3UpYWBhubm4MGDDAIUFFROR+8+fDuHG27S+/BNX0RbK27du3ExQURNOmTR94PF++fMyfPx8XF5fH9roUye5GbhxJQlICLxR/gTbl25gdR0RE0smuAlPdunWZPHkyp0+fJiQkBF9fXywWC8uXL6dgwYLUr1+fM2fOMGXKlJRv5kRExLE2b7atFAcwYgSoVYtI1nf16lVK/2maoYeHbcbGH3/8kbLP09OTevXqERMTk+n5RDLLvvP7WLB/AQCfhHyCRatSiIhke3YVmAD69evH1q1befHFF7FarRiGQXx8PDdv3iQkJIRvv/2WPn36ODKriIj8n2PHoG1bSEyEV16B9983O5GIpEXBggWJj49P9Rjg5MmTqcYlJCRw/fr1TM0mklkMw2BIzBAAOlfqTLWAaiYnEhERR7Cryfc9NWvWZMWKFRiGwZUrV0hOTqZAgQK4uro6Kp+IiPzF1avQqpXtf6tXh3nzwMXurwtEJDOVLl061epx1atXxzAMZs2axWeffQbA8ePH2bhxIyVLljQrpkiGWn9iPRviNuDh6sEHjT4wO46IiDiIQ34lsVgsFChQgEKFCqm4JCKSge7ehXbt4OhRKFYMVq6EXLnMTiUiadWiRQuOHTvGwYMHAWjevDnFixdn5syZ1KhRg3bt2vH8889z+/ZtevbsaXJaEcezGlaGxg4FoO/zfXkm3zPmBhIREYdJ1wwmERHJPIYBb74J330HefJAdDT4+5udSkSeRNeuXfHx8UnpN+Ph4UFUVBQdOnRg9+7d7N69GxcXF3r16kX//v1NTivieIv2L+Kn337Cx9OHkfVGmh1HREQcKE0FpkaNGtn9BhaLhQ0bNtj9fBERsZk4EebMsd0Ot2QJVKpkdiIReVL+/v68/vrrqfZVqlSJX375hcOHD3Pt2jVKly6d0ptJxJncTrrNO9/aVkccXnc4ft5+JicSERFHSlOB6bvvvsNisWAYxhO/gVaEEBFJv+XLYdgw2/aUKRAaam4eEbHP1KlT8fb2pte9JSD/pHz58iYkEsk8n+36jDPXz1A0b1H61ehndhwREXGwJ7pFLjg4mC5dulCzZs2MyiMiIn+xezd06WLbfustePttc/OIiP0GDRpEixYtHlhgEnFmVxOuMnbLWADeb/g+udzVQFBExNmkqcD04YcfsmjRIvbu3cu+ffsoVaoUXbp0oVOnTpQuXTqjM4qI5FhnzkDr1pCQYJu1NHmy2YlEJD38/f3x8vIyO4ZIppuwdQK/3/6dSk9XIqxymNlxREQkA6RpFbkhQ4bw008/sX//fgYNGsTt27cZPXo05cqVo1atWkyfPp3Lly9ndFYRkRzlxg148UW4cMHWbykyEty0NINIttasWTO2bt3K3bt3zY4ikmnO3TjH1F1TARjXeByuLlp1WkTEGaWpwHRPxYoVmThxIqdPn2bDhg10796dw4cP8/bbb1OkSBFatWpFZGQkt2/fzqi8IiI5QlIS/O1vsH8/FCpkWzEub16zU4lIeo0dOxZXV1c6d+7M+fPnzY4jkine3/Q+t5NuUzuwNi3LtDQ7joiIZBC7vgu3WCw0bNiQhg0bMmPGDKKioli4cCHr1q1j7dq1BAYGcurUKQdHFRHJOQYNgtWrwcsLoqKgWDGzE4mIIwwfPpwqVaqwfPlyVq9ezXPPPUexYsUeeNucxWJh9uzZJqQUcZwTV0/w5Q9fAjC+8XgtACQi4sTSfbOFp6cnbdu2xcPDgz/++IONGzdy69YtR2QTEcmRPvsMptruJGDBAqhe3dw8IuI4ERERKdu3b99m+/btbN++/YFjVWASZzDqu1EkWZNoXro5LxR/wew4IiKSgdJVYNq6dSuLFi3i66+/5tq1a1gsFpo0aUKPHj0clU9EJEdZswb697dtf/ghtG9vbh4Rcaxvv/3W7AgimWb/b/v56sBXAIxrNM7kNCIiktGeuMD0yy+/sHDhQhYvXsyZM2cwDIOqVasyYsQIOnXqhL+/f0bkFBFxevv3Q8eOYLXCa6/BkCFmJxKR9Nq8eTP+/v6ULVsWgPr165ucSCTzvLPxHQwMOvy/DgQVDjI7joiIZLA0FZjOnz/PV199xcKFC/npp58wDINixYoxdOhQwsLCqFChQkbnFBFxahcuQKtWcPMmNGwIM2eC2lSIZH8NGjSge/fuzJkzB4BGjRrRvHlzhqiCLE5u+9ntrDq6CleLK+83fN/sOCIikgnSVGAKDAzEMAzy589P79696dKlC3Xr1s3obCIiOcKtW9C6NZw9C+XKwbJl4OFhdioRcQSLxYLVak15/N133/HMM8+YF0gkExiGwciNIwHoUbUHZf3KmpxIREQyQ5oKTFarFYvFgo+PD5s3b2bz5s1pfgOLxcKhQ4fsDigi4sysVggLg927wc8PoqMhf36zU4mIo/j6+nLs2DGzY4hkqo1xG/nu1Hd4unoyqv4os+OIiEgmSXMPJsMwiIuLe+I30FKkIiIPN3w4LF9um7G0YgWULm12IhFxpLp16xIVFUXDhg0pUaIEYFsk5bXXXnvsc7WKnGRHhmHw7rfvAvB68OsE+gSanEhERDJLmgpM9hSWRETk0b78EiZOtG3PmQO681jE+XzyySecOnWKTZs2sWnTJgCOHz/O8ePHH/tcFZgkO/rP8f+w49cd5HLLxfB6w82OIyIimShNBabixYtndA4RkRxlwwZ4803b9ujR0LmzqXFEJIOULFmSffv2cerUKc6ePUuDBg1o3rw5Q4cONTuaiMMZhsGo72y3xPV5vg/+T2l1aRGRnMTF7AAiIjnNL79Au3aQlGQrLI1SewoRp2axWChRogQvvPACAP7+/tSvXz9Nf+w1Y8YMSpQogZeXF8HBwWzZsuWhY8+fP0+nTp0oV64cLi4uhIeHP3DcsmXLePbZZ/H09OTZZ5/lm2++sTufOKeoI1HsObeH3O65GVpHRVQRkZwmTQWmpKQkh7yZo15HRCS7ungRWraE69dtt8TNng1qVSeSc1itVubMmZOh77FkyRLCw8MZOXIkP/zwA/Xq1SM0NJQzZ848cPydO3coWLAgI0eOpEqVKg8cs2PHDjp27EhYWBg//fQTYWFhdOjQge+//z4jT0WyEathTZm91K9GPwrmLmhyIhERyWxpKjCVKVOGL774wu4CUWJiIp9//jml1b1WRHKw27ehTRuIi4NSpeCbb8DT0+xUIuJsJk2aRM+ePenVqxcVKlRgypQpBAYGMnPmzAeOf+aZZ/j000/p2rUrPj4+DxwzZcoUmjZtyvDhwylfvjzDhw+ncePGTJkyJSNPRbKRZT8vY/9v+8nrmZfBtQebHUdEREyQpgJTiRIleP311wkMDGTgwIHs2bPnsc+xWq3s2LGDt99+m6JFi9KnTx9KlSqV7sAiItmR1Qrdu8OOHZA/P6xeDQUKmJ1KRJzN3bt32bt3LyEhIan2h4SEsH37drtfd8eOHfe9ZrNmzdL1muI8kq3J/PO7fwIwoOYAfHP5mpxIRETMkKYm3xs3bmT16tWMGDGCKVOm8Omnn5I7d26Cg4MpV64c+fPnJ0+ePMTHx3P16lUOHz7Mvn37SEhIwDAMqlatSkREBKGhoRl9PiIiWdKoUbBkCbi7w/LlUK6c2YlExBldvnyZ5ORkChUqlGp/oUKFuHDhgt2ve+HChSd+zTt37nDnzp2Ux/Hx8YBtZntiYqLdWTLavWxZOaOjOOpcIw9F8svlX8jnlY++wX2z5LXT36tz0rk6J51r1pPWfGkqMAG0bNmSli1bsm3bNr788kvWrl2basndv3r66afp0KEDvXv3platWml9GxERpxMRAWPH2ra/+AIaNDAzjYjkBJa/NHczDOO+fRn9muPHj2fMmDH37V+/fj3e3t7pypIZYmJizI6QadJzrslGMiMOjwCgRb4WbN+YtWe16e/VOelcnZPONeu4detWmsalucB0T506dahTpw4AR44cYf/+/Vy8eJHr16/j4+PD008/TZUqVShbtuyTvrSIiNP57jv4+99t2yNHQrdupsYRESdXoEABXF1d75tZdPHixftmID0Jf3//J37N4cOHM3DgwJTH8fHxBAYGEhISQt68ee3OktESExOJiYmhadOmuLu7mx0nQzniXJccWsKvP/1KPq98fNrpU3y8HtzHy2z6e3VOOlfnpHPNeu7NQn6cJy4w/Vm5cuUop/s8REQe6PBhaNsWEhOhY0d47z2zE4mIs/Pw8CA4OJiYmBjatm2bsj8mJoaXXnrJ7tetVasWMTExDBgwIGXf+vXrqV279kOf4+npiecDVjJwd3fP0h+i78kuOR3B3nO1GlbGbx8P2HovFciT9ZsL6u/VOelcnZPONetIa7Z0FZhEROTBLl2Cli3h99+hVi3bbXIuaVpWQUQkfQYOHEhYWBjVqlWjVq1a/Otf/+LMmTO88cYbgG1m0X//+1/mz5+f8pwff/wRgJs3b3Lp0iV+/PFHPDw8ePbZZwHo378/L7zwAhMmTOCll15i5cqVxMbGsnXr1sw/Qckylv68lJ8v/YyPpw/9avQzO46IiJhMBSYREQe7fRvatIGTJ6FECVi5Ery8zE4lIllNUlISV65cSdUI+6+KFSv2xK/bsWNHrly5wnvvvcf58+epWLEia9asoXjx4gCcP3+eM2fOpHpOUFBQyvbevXtZvHgxxYsX59SpUwDUrl2byMhI3nnnHd59911KlSrFkiVLqFGjxhPnE+dgNay8t8k2NTe8Zjj5vPKZnEhERMymApOIiANZrdCjB2zfDvnywerVULCg2alEJCuJjY3lgw8+YOfOnY9clcVisZCUlGTXe/Tp04c+ffo88FhERMR9+wzDeOxrtm/fnvbt29uVR5zP8l+Wc+jSIfJ65qV/jf5mxxERkSxABSYREQf65z8hMhLc3GDZMqhQwexEIpKVREdH07ZtW5KTk8mfPz8lS5bkqaeeMjuWyBP58+yl/jX6kz9XfpMTiYhIVqACk4iIg0REwAcf2Lb/9S9o1MjUOCKSBY0ZMwar1cqUKVPo27cvrq6uZkcSeWIrDq/gwMUD5PHIQ3jNcLPjiIhIFqECk4iIA3z7LfTubdseMcJ2m5yIyF8dOnSIWrVq0a+fGiJL9mQYBu9vfh+AfjX64ZvL1+REIiKSVWhNIxGRdDp8GF5+GZKSoGNHeP99sxOJSFb11FNPUahQIbNjiNhtzbE1/HjhR3K752ZAzQFmxxERkSxEBSYRkXS4dAlatIDff4fatW23ybnov6wi8hBNmjRh3759WK1Ws6OIPDHDMPhgi+1e8DervYmft5/JiUREJCtJ169Ba9eupU2bNhQpUgRPT0969uyZ6tjAgQM5d+5cukOKiGRFCQnw0ksQFwclS8KKFeDlZXYqEcnKJkyYQEJCAoMGDSI5OdnsOCJP5NtT37Lz1514unoyqPYgs+OIiEgWY3cPpj59+jBr1iwMwyBPnjwkJiamWuI2X758TJkyhaJFizJwtoJLbwAAIABJREFU4ECHhBURySqsVujeHXbsgPz5Yc0aKFjQ7FQiktXNnTuX0NBQpk6dSnR0NA0aNKBo0aJYLJb7xlosFt59910TUoo82NgtYwHo9Vwv/J/yNzmNiIhkNXYVmObMmcPnn39OjRo1mDVrFpUrV8blL/eE1KpViyJFirBq1aonLjBt3ryZjz76iL1793L+/Hm++eYb2rRpk3K8e/fuzJs3L9VzatSowc6dO1Me37lzh8GDB/PVV1+RkJBA48aNmTFjBkWLFrXjjEVEUnvnHfj3v8HdHZYvh3LlzE4kItnB6NGjsVgsGIbBiRMnOHHixEPHqsAkWcmOszvYGLcRNxc3htQZYnYcERHJguwqMM2aNQtfX1+io6Px83v4vdelS5fm5MmTT/z6f/zxB1WqVKFHjx60a9fugWOaN2/O3LlzUx57eHikOh4eHs6qVauIjIzEz8+PQYMG0apVK/bu3aslgUUkXWbPhvHjbdtffgkNGpgaR0SykT9/dhHJTu7NXupauSvFfIqZnEZERLIiuwpMhw4domHDho8sLgH4+/unmlWUVqGhoYSGhj5yjKenJ/7+D56ae/36dWbPns2CBQto0qQJAAsXLiQwMJDY2FiaNWv2xJlERABiY+GNN2zbo0ZB167m5hGR7KVbt25mRxB5Yj+c/4HVx1bjYnFhWN1hZscREZEsyq4m3y4uLmla/eTcuXPkzp3bnrd4rO+++46nn36asmXL0rt3by5evJhybO/evSQmJhISEpKyLyAggIoVK7J9+/YMySMizu/QIWjXDpKSoFMnGD3a7EQiIiIZb9zWcQB0/H8dKeNXxuQ0IiKSVdk1g6l8+fLs2bOHW7du4e3t/cAxV65c4ccffyQ4ODhdAR8kNDSUV155heLFixMXF8e7775Lo0aN2Lt3L56enly4cAEPDw/y58+f6nmFChXiwoULD33dO3fucOfOnZTH8fHxACQmJpKYmOjw88gI93Jml7zOQNc8c5l1vS9cgJYt3YiPt1C3rpVZs5JJSsrUCKbRv/HMpevtGNnh+u3atYstW7Zw7tw5LBYLhQsXpl69elSvXt3saCIpDl8+zLKflwEwot4Ik9OIiEhWZleBqXPnzgwYMIC+ffvyxRdf4OaW+mUMw6Bfv37cvHmTsLAwhwT9s44dO6ZsV6xYkWrVqlG8eHFWr17Nyy+//NDnGYbxwFVa7hk/fjxjxoy5b//69esfWkjLqmJiYsyOkOPommeuzLzed+648s47dTh9Oj8BATf5+983s2FD1v/l1dH0bzxz6Xqnz61bt8yO8FBHjx6la9eu7N69GyBlFd57n1GqV6/O/PnzKVNGM0XEfBO3TcTA4KVyL1Hx6YpmxxERkSzMrgJTnz59WLZsGfPmzWPr1q0pPY3279/P4MGDiY6O5ujRozRq1ChTeg0ULlyY4sWLc+zYMcDW++nu3btcu3Yt1SymixcvUrt27Ye+zvDhw1OteBcfH09gYCAhISHkzZs3407AgRITE4mJiaFp06a4u7ubHSdH0DXPXJl9vZOToWNHV44dc8HPzyA21pPSpZtm+PtmJfo3nrl0vR3j3izkrOb8+fPUr1+f3377jYCAAF555RWeeeYZAE6fPs3XX3/N999/T4MGDdizZw+FCxc2N7DkaGevn2XB/gUA6r0kIiKPZVeByd3dnf/85z8MHjyY2bNnM2PGDAD27dvHvn37cHV1pWfPnkydOhUXF7vaPD2RK1eucPbs2ZQPYcHBwbi7uxMTE0OHDh0A2we6gwcPMnHixIe+jqenJ56envftd3d3z3Yf8rNj5uxO1zxzZdb1HjIEoqLA0xNWrrRQoULO/TvWv/HMpeudPln12n3wwQf89ttvDBgwgPHjx9+3Cu6ECRMYPnw4kyZNYty4cUybNs2kpCIwacckkqxJNHimATWL1jQ7joiIZHF2FZgAvL29mTFjBmPGjGHTpk2cOnWK5ORkihYtSsOGDQkICLA71M2bNzl+/HjK47i4OH788Ud8fX3x9fVl9OjRtGvXjsKFC3Pq1ClGjBhBgQIFaNu2LQA+Pj707NmTQYMG4efnh6+vL4MHD6ZSpUopq8qJiDzOZ5/BlCm27XnzoE4dc/OISPa3Zs0aypUrxyeffPLA4+7u7nz00UesXr2a6OhoFZjENFduXeFf+/4FwLA6mr0kIiKPZ1eBKSoqCnd3d0JDQylYsCDt27d3aKg9e/bQsGHDlMf3blvr1q0bM2fO5MCBA8yfP5/ff/+dwoUL07BhQ5YsWUKePHlSnjN58mTc3Nzo0KEDCQkJNG7cmIiICFxdXR2aVUScU3Q09O9v2x43Dv7U+k1ExG7nz5+nXbt2jxxjsVh47rnnWLZsWSalErnfZ7s+41biLYL8gwgpFfL4J4iISI5nV4Gpbdu2hISEEBoa6ug8ADRo0CCl4eWDrFu37rGv4eXlxbRp0/TNn4g8sX37bAUlqxV69oRh+uJWRBwkb968nD179rHjzp49m236P4rzuXn3JlN3TQVsvZcetUiOiIjIPXY1SCpYsGCq5tkiIs7izBlo1Qpu3YImTWDmTNDnahFxlFq1arF9+3bWrl370DFr1qxh27Ztj1yYRCQjfbnvS64mXKVU/lK0q/DoGXciIiL32FVgatCgAbt27XrkLCMRkezm+nVo2RLOn4eKFWHpUsiifYJFJJsaNsw2G6RNmzb06NGDmJgYjh07xvHjx4mJiaF79+60bdsWV1dXhmn6pJjgbvJdPtlh6xE2pM4QXF3UXkJERNLGrgLT+++/z+XLlxkwYAC3b992dCYRkUyXmAivvAIHD4K/P6xeDT4+ZqcSEWdTq1Yt5s6di5ubG/PmzaN58+aUL1+ecuXK0bx5c+bPn4+bmxtz586lZk2t2iWZb/GBxfwa/yuFnypMtyrdzI4jIiLZiF09mL766itatGjBtGnTiIyMpEmTJhQrVgwvL6/7xlosFt599910BxURySiGAX36QEwM5M5tKy4VK2Z2KhFxVl26dKFBgwZ88cUXbN26lXPnzgEQEBBAvXr16NmzJ4GBgSanlJzIaliZuG0iAOE1w/F08zQ5kYiIZCd2FZhGjx6NxWLBMAwuXrzI4sWLHzpWBSYRyeo+/BC+/BJcXCAyEp57zuxEIuLsihYtypgxY8yOIZLKmmNr+OXyL+TxyMPrwa+bHUdERLIZuwpMc+fOdXQOERFTfPUVjBhh2/70U1uDbxGRjPLee+9RtWpVWrdu/chxq1at4ocffmDUqFGZlEwEPtr+EQBvVHsDHy/dJy4iIk/GrgJTt266H1tEsr8tW6B7d9v2wIHw1lumxhGRHGD06NF07979sQWmqKgo5syZowKTZJrvf/2ezac34+7iTv8a/c2OIyIi2ZBdTb5FRLK7I0egTRu4exdefhk++sjsRCIi/5OcnIyLiz6mSea5N3upU6VOFMlbxOQ0IiKSHemTi4jkOJcuQYsWcPUq1KgBCxbY+i+JiGQVhw4dIn/+/GbHkBzi+NXjLP9lOQCDaw82OY2IiGRXdt0iV7JkyTSPtVgsnDhxwp63ERFxuIQEaN0aTp6EkiUhKgq8vc1OJSLO7LXXXkv1eOvWrfftuycpKYkjR46wZ88e2rRpkxnxRJjy/RQMDFqUaUHFpyuaHUdERLIpuwpMp06dcnAMEZGMZ7VCWBjs3An588OaNfD002anEhFnFxERkbJtsVg4fvw4x48ff+RzKleuzEe6d1cywe+JvzP/yHwA/lH7HyanERGR7MyuApPVan3gfsMwOHv2LOvWrWPUqFF07dqVCRMmpCugiIij/OMfsGwZeHjAypVQrpzZiUQkJ/j2228B2+ekRo0a0bx5c4YOHfrAsR4eHgQEBFC8ePHMjCg52NrLa7mddJvnA56nfvH6ZscREZFszK4C08NYLBaKFStG7969CQ4Opnbt2pQuXZrevXs78m1ERJ7YZ5/BpEm27YgIqFfP1DgikoPUr/+/X9q7detGvXr1Uu0TMcutxFusubwGsM1eslgsJicSEZHsLMPa2j733HNUr16dadOmZdRbiIikSVQU9P+/FZfHjYO//c3cPCKSc82dO/eh/ZdEMtuC/Qu4kXyDEvlK8HKFl82OIyIi2ZxDZzD9VcGCBdmzZ09GvoWIyCPt3g2vvmrrv9S7NwwbZnYiERFITEzkm2++YcuWLZw7dw6LxULhwoWpV68ebdu2xd3d3eyI4uSshpVPd38KQL/n++Hq4mpyIhERye4yrMB09epVtm3bRr58+TLqLUREHikuDlq1sq0c16wZTJ8Omv0vImbbtm0bnTp14tdff8UwjFTHZsyYQWBgIIsXL6Z27domJZScIPpoNMevHie3a266VelmdhwREXECdhWYNm/e/NBjN2/e5OjRo8ycOZNLly7xxhtv2B1ORMReV69CixZw8SJUqQL//jdoQoCImO3o0aOEhoZy8+ZNgoOD6dKlC8888wwAp0+fZuHChezZs4fQ0FD27NlDmTJlzA0sTuuTHZ8A0MyvGU95PGVyGhERcQZ2FZgaNGjw2CaAhmFQv359PvzwQ7uCiYjY684daNsWDh+GokVh9WrIm9fsVCIiMHbsWG7evMnkyZPpf6853J/069ePqVOnEh4eztixY4mIiMj8kOL09pzbw+bTm3FzcaNlgZZmxxERESdhV4Gpa9euDy0weXh4ULhwYerXr0/Dhg3TFU5E5ElZrdC9O2zebCsqrVkDRYqYnUpExGbDhg0EBQU9sLh0T79+/Zg3bx6xsbGZmExykkk7bMuqdni2A35ufianERERZ2FXgUnfpolIVjVyJERGgpsbLF8OlSqZnUhE5H8uXbpE/fr1HzuufPnyHDp0KBMSSU5z5voZ/n3o3wCE1wjn3N5zJicSERFn4WJ2ABERR5k1C+7dlfvll9C4sbl5RET+ys/Pj6NHjz523NGjR/H19c2ERJLTTPt+GslGMo1KNKJqoapmxxERESfi0AJTUlISs2bN4q233mLixIlcv37dkS8vIvJQ0dHQp49te/Ro6KYFcUQkC2rYsCH79u3jiy++eOiYL774gr1799KoUaNMTCY5QfydeP61718ADKw50OQ0IiLibOy6Re69995jzJgxbNy4MWWat2EYNG7cmK1bt2IYBhaLhS+//JI9e/aQV911RSQD7dkDHTva+i/16AGjRpmdSETkwd555x1WrFjBG2+8weLFi+nUqRPPPPMMFouFuLg4Fi1axJYtW/D29mbkyJFmxxUnM+eHOcTfiad8gfKElgklOSnZ7EgiIuJE7CowxcTEUKRIkVQ9BJYvX86WLVuoXLkyffv2Zd26dSxfvpzp06czfPhwhwUWEfmzuDho2RJu3YKQENttco9Z5FJExDQVKlQgKiqKzp07s2nTJjZv3pzquGEYFCpUiEWLFlGhQgWTUoozSrYmM/X7qYCt95KLxYVkVGASERHHsavAdPLkSSpWrJhq39KlS7FYLERGRlK+fHl69epFiRIl+Prrr1VgEpEMcfUqtGgBFy9ClSrw9dfg7m52KhGRR2vcuDEnT57k3//+N1u2bOHcOVuT5YCAAOrVq0eHDh3w9vY2OaU4m6gjUcT9HodvLl/CqoSZHUdERJyQXQWmK1euULBgwVT7tmzZQtmyZSlfvjwAFouFatWq8e2336Y/pYjIX9y+DW3awOHDULQorF4NuhtXRLK6+Ph4LBYLefLkoXv37nTv3t3sSJJDTPl+CgBvBL+Bt7sKmCIi4nh2NfkuWLAgly5dSnl88uRJzp07d9+yux4eHty9ezd9CUVE/sJqhddec2XLFltRac0aKFLE7FQiIo+XL18+QkJCzI4hOcy+8/vYfHozbi5u9Hm+j9lxRETESdlVYHr22WfZsmULZ8+eBWyrnVgsFlq0aJFq3KlTpyhcuHD6U4qI/Mn8+c+ydKkL7u7wzTdQqZLZiURE0sbHx4eSJUuaHUNymCk7bbOXOvy/DhTJq29kREQkY9hVYBo4cCC3b9+mcuXKPPfcc0yYMIESJUrQvHnzlDHXr19n3759VKlSxWFhRURmzHBhxYoyAMyZA1rFW0Syk6CgIE6cOGF2DMlBzt84T+TBSAAG1BxgchoREXFmdhWYmjVrxowZM/Dx8eHIkSPUrVuXb775Bg8Pj5Qx8+fP5+7duzRu3NhhYUUkZ1uxAgYMsP1n6733kunSxeRAIiJPaOjQoezevZulS5eaHUVyiJl7ZpJoTaROYB2qBVQzO46IiDgxu5p8A7zxxhu88cYbDz3eq1cvunbtylNPPWXvW4iIpNi5E/72NzAMCyEhpxg6tAjganYsEZEnkitXLnr16kXHjh1p1aoVL774IsWKFcPLy+uB41944YVMTijOJCExgZl7ZgIQXjPc5DQiIuLs7C4wPU6uXLnIlStXRr28iOQgR49Cq1a2leNCQ6306rUfi0U9JEQk+2nQoAEWiwXDMFi1ahXR0dGPHJ+cnJxJycQZLT6wmMu3LlPcpzhtyrcxO46IiDg5uwpMt27d4vLly/j5+ZE7d+6U/devX+fDDz/kwIEDFC9enMGDB1OiRAmHhRWRnOfiRQgNhStXoFo1WLQomc2bDbNjiYjYpWvXrlgsFrNjSA5gGAZTvrc19367+tu4uWTY98oiIiKAnQWmDz74gAkTJvD9999TrZrtXu67d+9Sq1Ytjhw5gmHYfvlbtmwZP/30E4UKFXJcYhHJMf74wzZz6eRJKFECoqNBd92KSHYWERFhdgTJIb479R0HLx4kt3tuej7X0+w4IiKSA9jV5HvDhg2UKFEipbgEsHjxYg4fPkzDhg1Zt24d4eHhXLx4kcmTJzssrIjkHElJ8OqrsHs3+PnBf/4DqlWLiIikzdRdUwHoVqUb+bzymZxGRERyArtmMJ05c4agoKBU+1asWIGLiwsREREULVqUpk2bsnbtWlavXs2HH37okLAikjMYBvTta5ux5OUFUVFQtqzZqURE7LdmzRpWrFjB2bNn8fT0pHLlyvTo0UOtBCRDxF2LY+XhlQC8Vf0tk9OIiEhOYVeB6dq1a+TPnz/Vvu3bt1OpUiWKFi2asq9y5cqsW7cufQlFJMcZOxb+9S+wWGDRIqhd2+xEIiL269y5M5GRkQApbQRWrVrFxx9/TGRkJK1btzYznjih6bunY2AQUiqECgUrmB1HRERyCLsKTP7+/pw7dy7l8aFDh7h8+TKdOnVKNU5NLEXkSUVEwLvv2ranToWXXzY1johIusyePZuvvvoKNzc3wsLCCAoK4saNG0RHR7Njxw66du3K6dOn8fHxMTuqOImbd2/y5b4vAehfo7/JaUREJCexqwdTUFAQ27Zt48cffwRg8uTJWCwWWrVqlWrcsWPHCAgISH9KEckR1q2D3r1t20OGwFua1S8i2dy8efNwcXFh7dq1zJ49m7feeovhw4ezbds2unXrxo0bN1i+fLnZMcWJLNy/kOt3rlPatzTNSzc3O46IiOQgdhWYhg0bhtVqpVq1avj5+TFnzhyqVKlCo0aNUsZcvHiRn376ieDgYIeFFRHntW8ftGtna+7duTOMH292IhGR9Dtw4AA1a9akcePG9x0bMWIEhmFw4MABE5KJMzIMg6nf25p7v139bVwsdn3UFxERsYtdP3Vq1KjBypUrqVu3Lv7+/nTp0oWoqChcXP73cosXLyZPnjw0b65vTkTk0eLioEUL+OMPaNwY5swBF30mFhEnEB8fT6lSpR547N7++Pj4zIwkTmxD3AZ+ufwLT3k8Rfeq3c2OIyIiOYxdPZgAWrZsScuWLR96PDw8nPDwcHtfXkRyiMuXoXlz+O03qFwZli0DDw+zU4mIOIZhGLi6uj7w2L0v5qxWa2ZGEid2b/ZSj6o9yOuZ1+Q0IiKS02iOgIiY5tYtaN0ajh6FYsVg7VpQn1sREZEnd+LqCaKPRgPwVnU1MRQRkcyXrgLT5cuXmTJlCp07d6ZZs2ZMnDgx5djBgweJiori1q1b6Q4pIs4nORk6dYIdOyBfPltxSWsCiIgzmjdvHq6urg/8Y7FYHnrczc3uieaSA03fPR0Dg9DSoZT1K2t2HBERyYHs/uQSGRnJ3//+d/744w8Mw8BisVCkSJGU48eOHaN9+/ZEREQQFhbmkLAi4hwMA95+G1auBE9PiIqCZ581O5WISMYwDCNTnyc5zx93/2DOD3MAW3NvERERM9g1g2nLli106dIFT09PJk+ezO7du+/7ENSqVSt8fHy09K6I3Gf8eJg5EywWWLQI6tUzO5GISMawWq3p+iOSFgv3L+T6neuU9i1Ns9LNzI4jIiI5lF0zmMaPH4+7uzuxsbFUqVLlgWPc3d0pX748hw4dSldAEXEuc+fCyJG27U8/hXbtzM0jIiKSnRmGwWe7PwOg7/N9cbGoxaqIiJjDrp9AO3fupGbNmg8tLt0TGBjI+fPn7QomIs5nzRro3du2PXSo7TY5ERERsd+m05s4ePEg3u7edK/a3ew4IiKSg9lVYEpISMDPz++x4+Lj47FYLPa8hYg4mV274JVXbM29w8Jst8mJiIhI+kzbNQ2ArpW7ks8rn8lpREQkJ7OrwFS8eHH279//yDFJSUns37+f0qVL2xVMRJzHsWPQsiXcugUhITB7tq3/koiIiNjvzPUzrDi8AoC+1fuanEZERHI6uwpMrVq14sSJE0yfPv2hYyZNmsSFCxdo27at3eFEJPu7cAGaNYPLlyE4GJYuBXd3s1OJiIhkf5/v+RyrYaXhMw2p+HRFs+OIiEgOZ1eT72HDhhEZGUm/fv3YuXMnL730EgAXL14kOjqaFStWEBERQbFixejXr59DA4tI9nHjBrRoAXFxULIkrF4NefKYnUpERCT7u510my/2fQHAW9XfMjmNiIiInQWmAgUKEBsbyyuvvMKiRYtYvHgxAGvXrmXt2rUYhkH58uX55ptv8PHxcWhgEcke7t6Fl1+GH36AggVh3TooVMjsVCIiIs5hycElXL51mcC8gbQu19rsOCIiIvYVmADKly/PTz/9RFRUFLGxsZw6dYrk5GSKFi1KkyZNaN++Pa6uro7MKiLZhNUKPXpAbCzkzm1bPU7t2ERERBzns92fAfBmtTdxc7H7I72IiIjD2PXT6N7qcHny5KFNmza0adPG0blEJBsbMgQWLwY3N1i2DKpVMzuRiIiI89j1313sObcHD1cPej3Xy+w4IiIigJ1NvvPly0dISIijs4iIE/jkE9sfgDlzbA2+RURExHGm77YttNPx/3WkYO6CJqcRERGxsavA5OPjQ8mSJR2dRUSyuYULYfBg2/bEiRAWZm4eERERZ3P51mWWHFwCQN/n+5qcRkRE5H/sKjAFBQVx4sQJR2cRkWzsP/+x9V0CGDDgf4UmERERcZzZ+2ZzJ/kOwYWDqV6kutlxREREUthVYBo6dCi7d+9m6dKljs4DwObNm3nxxRcJCAjAYrGwYsWKVMcNw2D06NEEBASQK1cuGjRowKFDh1KNuXPnDm+//TYFChQgd+7ctG7dml9//TVD8orkdLt2Qbt2kJQEnTrBxx+DxWJ2KhEREeeSbE1m5p6ZgG32kkU/bEVEJAuxq8l3rly56NWrFx07dqRVq1a8+OKLFCtWDC8vrweOf+GFF57o9f/44w+qVKlCjx49aNeu3X3HJ06cyKRJk4iIiKBs2bJ88MEHNG3alCNHjpAnTx4AwsPDWbVqFZGRkfj5+TFo0CBatWrF3r17tbqdiAMdOQItW8KtWxASAnPngotdpWsRERF5lDXH1nD6+ml8c/nyasVXzY4jIiKSil0FpgYNGmCxWDAMg1WrVhEdHf3I8cnJyU/0+qGhoYSGhj7wmGEYTJkyhZEjR/Lyyy8DMG/ePAoVKsTixYt5/fXXuX79OrNnz2bBggU0adIEgIULFxIYGEhsbCzN1HVYxCHOnbM18b582bZS3NKl4OFhdioRERHndK+592tVXyOXey6T04iIiKRmV4Gpa9eupk3JjYuL48KFC6lWsfP09KR+/fps376d119/nb1795KYmJhqTEBAABUrVmT79u0qMIk4wO+/Q/PmcPo0lC4Nq1fD/00gFBEREQc7duUY606sw4KFN59/0+w4IiIi97GrwBQREeHgGGl34cIFAAoVKpRqf6FChTh9+nTKGA8PD/Lnz3/fmHvPf5A7d+5w586dlMfx8fEAJCYmkpiY6JD8Ge1ezuyS1xnkxGuekAAvvujKgQMu+PsbrF6dRP78kBmXICdeb7PpmmcuXW/H0PUTZ3Ov91JomVBK5tdqziIikvXYVWDKCv46g8owjMfOqnrcmPHjxzNmzJj79q9fvx5vb2/7gpokJibG7Ag5Tk655snJFiZMeJ5duwrj7Z3I0KFb+eWXeH75JXNz5JTrnZXommcuXe/0uXXrltkRRBzmVuIt5v44F7A19xYREcmKnqjAtGbNGlasWMHZs2fx9PSkcuXK9OjRgxIlSmRUvvv4+/sDtllKhQsXTtl/8eLFlFlN/v7+3L17l2vXrqWaxXTx4kVq16790NcePnw4AwcOTHkcHx9PYGAgISEh5M2b19GnkiESExOJiYmhadOmuLu7mx0nR8hJ19ww4M03Xdm1ywVPT4NVqyzUq1c3UzPkpOudVeiaZy5db8e4NwtZxBl8deArfr/9OyXzl6R56eZmxxEREXmgNBeYOnfuTGRkJGCbCQSwatUqPv74YyIjI2ndunXGJPyLEiVK4O/vT0xMDEFBQQDcvXuXTZs2MWHCBACCg4Nxd3cnJiaGDh06AHD+/HkOHjzIxIkTH/ranp6eeHp63rff3d09233Iz46Zs7uccM1HjoQ5c2yrxEVGWmjUyLxJkDnhemc1uuaZS9c7fXTtxFkYhpHS3PvNam/iYtFSrSIikjWl6bfD2bNn89VXX+Hm5kZYWBhBQUHcuHGD6OhoduzYQdeuXTl9+jQ+Pj4OCXXz5k1Ek2R2AAAgAElEQVSOHz+e8jguLo4ff/wRX19fihUrRnh4OOPGjaNMmTKUKVOGcePG4e3tTadOnQDw8fGhZ8+eDBo0CD8/P3x9fRk8eDCVKlVKWVVORJ7MlCkwbpxt+/PPoU0bc/OIiIjkBLv+u4sfLvyAp6snPar2MDuOiIjIQ6XpK5B58+bh4uLC2rVrmT17Nm+99RbDhw9n27ZtdOvWjRs3brB8+XKHhdqzZw9BQUEpM5QGDhxIUFAQo0aNAmDIkCGEh4fTp08fqlWrxn//+1/Wr19Pnj8tYTV58mTatGlDhw4dqFOnDt7e3qxatQpXV1eH5RTJKRYuhAEDbNvjxkHv3ubmERGRR5sxYwYlSpTAy8uL4OBgtmzZ8sjxmzZtIjg4GC8vL0qWLMnnn39+35gpU6ZQrlw5cuXKRWBgIAMGDOD27dsZdQryf+419+5YsSN+3n4mpxEREXm4NM1gOnDgADVr1qRx48b3HRsxYgTz5s3jwIEDDgvVoEGDlNvwHsRisTB69GhGjx790DFeXl5MmzaNadOmOSyXSE60Zg30+L8vTMPDYdgwc/OIiMijLVmyhPDwcGbMmEGdOnWYNWsWoaGh/PzzzxQrVuy+8XFxcbRo0YLevXuzcOFCtm3bRp8+fShYsCDt2rUDYNGiRQwbNow5c+ZQu3Ztjh49Svfu3QHbl3qSMa7cukLkQVuLij7V+picRkRE5NHSVGCKj4+nVKlSDzx2b7+aaYo4n+3boX17SEqCzp3hk0/gMYs1ioiIySZNmkTPnj3p1asXYJt5tG7dOmbOnMn48ePvG//5559TrFgxpkyZAkCFChXYs2cPH3/8cUqBaceOHdSpUyelHcEzzzzD3/72N3bt2pVJZ5Uzzf1xLneS7/Bc4eeoXqS62XFEREQeKU0FJsMwHnprmYuL7S47q9XquFQiYroDB6BlS0hIgNBQmDvX1txbRESyrrt377J3716G/WW6aUhICNu3b3/gc3bs2EFISEiqfc2aNWP27NkkJibi7u5O3bp1WbhwIbt27aJ69eqcPHmSNWvW0K1bt4dmuXPnDnfu3El5fO/LyMTERBITE+09xQx3L5vZGa2GlZm7bbfHvR70OklJSQ5/j6xyrplB5+qcdK7OSeea9aQ1n3lLQIlIlhUXB82awe+/Q61a8PXXoAWZRESyvsuXL5OcnEyhQoVS7S9UqBAXLlx44HMuXLjwwPFJSUlcvnyZwoUL8+qrr3Lp0iXq1q2LYRgkJSXx5ptv3lfI+rPx48czZsyY+/avX78eb29vO84uc8XExJj6/vvi93Hy95N4u3iT79d8rDm3JsPey+xzzUw6V+ekc3VOOtes49atW2kal+YC07x585g3b94Dj1kslocet1gsGfKNi4hkjN9+g5AQOH8eKlaE6GjIndvsVCIi8iQsf7mf2TCM+/Y9bvyf93/33XeMHTuWGTNmUKNGDY4fP07//v0pXLgw77777gNfc/jw4QwcODDlcXx8PIGBgYSEhJA3b167ziszJCYmEhMTQ9OmTXE38duVL77+AoBewb1o27RthrxHVjnXzKBzdU46V+ekc8160toSKc0Fpkc13c6I54lI5rt+HZo3h+PH4ZlnYN068PX9/+zdZ3hU1f728e+kJ5CEEkhCL0pvGloAAaUoHQVFQJpwlPaXIiiISjlHsIsoRZQIKAiooB4OClGpUpQqTUAMoJCI1FBT1/NiHkZjAEkymZ2Z3J/rmsuZvddM7rUmw2x/WXttq1OJiMitCgsLw9vbO9NspZMnT2aapXRNRETEddv7+PhQtKj9qmXPPfccvXr1cqzrVLNmTS5dusRjjz3GuHHjHEsm/JW/vz/+/v6Ztvv6+ubpg+hrrMx59NxRVhyyz1gaXH9wrudwl/fEGdRXz6S+eib1Ne+41Wy3tKJKenp6jm4ikvdduQIdO8LOnVC8OKxaBSVKWJ1KRESyws/Pj6ioqExT7WNjY2nUqNF1nxMdHZ2p/apVq6hbt67jgPLy5cuZikje3t4YY/THxFwwe9tsDIYW5VtQOayy1XFERERuiZbsFRFSUuChh2DdOggJga++gttvtzqViIhkx8iRI3nvvfeIiYlh//79jBgxgmPHjjFw4EDAfupa7969He0HDhzI0aNHGTlyJPv37ycmJoY5c+YwatQoR5sOHTowc+ZMFi1aRFxcHLGxsTz33HN07NjxhheCkexJTkvmvR3vATCo7iCL04iIiNw6LfItks+lp8Ojj9rXWgoIgP/+F+64w+pUIiKSXd26deP06dNMmjSJ+Ph4atSowYoVKyhbtiwA8fHxHDt2zNG+fPnyrFixghEjRjB9+nRKlCjBtGnT6NKli6PNs88+i81m49lnn+X48eMUK1aMDh068MILL7i8f55u6f6lnLx0khLBJehUpZPVcURERG6ZCkwi+ZgxMHw4fPgheHvbrxbXtKnVqUREJKcGDx7M4MGDr7tv7ty5mbY1a9aM7du33/D1fHx8GD9+POPHj3dWRLmBmVtnAvCvO/+Fj5cO1UVExH3oFDmRfGzSJHjrLfv9efOgfXtr84iIiORne0/uZd3RdXjbvPnXnf+yOo6IiEiWqMAkkk9NmwYTJtjvv/UW9OxpaRwREZF8b9bWWQB0rNyRkiElLU4jIiKSNSowieRD8+fDsGH2+xMnwtCh1uYRERHJ7y4mX2T+j/MBLe4tIiLuSQUmkXzm88/ti3qDff2l556zNo+IiIjAR7s/IjEpkduK3EaLCi2sjiMiIpJlKjCJ5CPffgsPPQRpadC3L7z2GthsVqcSERHJ34wxzNg6A4CBUQPxsukQXURE3I++vUTyiS1boGNHSE6GBx6Ad98FL/0LICIiYrktx7ewM2En/t7+9K3T1+o4IiIi2aL/vRTJB378Edq0gUuXoEULWLgQfHTlYxERkTxh5taZAHSr0Y2iQUUtTiMiIpI9KjCJeLhDh6B1azh7FqKj4bPPwN/f6lQiIiICcPryaRbvWQzA4LqDLU4jIiKSfSowiXiwX3+Fli3h99+hdm343/+gYEGrU4mIiMg183bNIyktiToRdahfsr7VcURERLJNBSYRD3XyJLRqBceOQaVKsHIlFC5sdSoRERG5Jt2kM2vrLAAG1R2ETVfeEBERN6YCk4gHOnvWflrcgQNQujTExkJ4uNWpRERE5K++jfuWQ2cOEewXTI+aPayOIyIikiMqMIl4mAsXoG1b2LXLXlT6+msoU8bqVCIiIvJ312Yv9a7dm4J+OoddRETcmwpMIh7kyhXo1Ak2b4YiRewzlypVsjqViIiI/N2JCyf47KfPABhYd6DFaURERHJOBSYRD5GcDA8+CKtXQ3AwfPUV1KxpdSoRERG5nve2v0eaSaNJmSbUKF7D6jgiIiI5pgKTiAdITYVHHrFfJS4wEJYvh3r1rE4lIiIi15Oansq7298FYGCUZi+JiIhnUIFJxM2lp0P//vDxx+DrC0uXQtOmVqcSERGRG/nfwf/xW+JvhAWF0bVaV6vjiIiIOIUKTCJuzBgYMgTmzwdvb1iyBO67z+pUIiIicjMzt84E4NE6j+Lv429xGhEREedQgUnETRkDo0fDrFlgs8EHH0DnzlanEhERkZv55ewvrDy8EoDHoh6zOI2IiIjzqMAk4qYmTIDXXrPff+896N7d0jgiIiJyC97Z+g4A91a8l4pFKlqcRkRExHlUYBJxQ1OmwKRJ9vtvvQWPPmptHhEREflnSalJxOyMAWBgXS3uLSIinkUFJhE388Yb8Mwz9vsvvQRDh1qbR0RERG7Np/s/5dTlU5QKKUX7Su2tjiMiIuJUKjCJuJGZM2HkSPv9iRPhqaeszSMiIiK37tri3v+681/4ePlYnEZERMS5VGAScRMxMTB4sP3+2LHw3HPW5hEREZFbt+fkHjYc24C3zZv+d/S3Oo6IiIjTqcAk4gYWLIABA+z3R4yAF16wXzlORERE3MOsrbMA6FSlEyVDSlqcRkRExPlUYBLJ45Ysgd69wRgYNMh+5TgVl0RERNzHxeSLzN81H4CBUVrcW0REPJMKTCJ52NKl0KMHpKfbZzC9/baKSyIiIu7mo90fcSH5ArcVuY0WFVpYHUdERCRXqMAkkkf997/QrRukpUGfPvDOO+ClT6yIiIhbMcY4Fvd+POpxvGz6MhcREc+kbziRPOjLL6FrV0hNtc9gmjNHxSURERF39MOJH9iRsAN/b3/61ulrdRwREZFco/9lFcljVq6E+++H5GR7kWnePPD2tjqViIiIZMe1xb0frP4gYUFhFqcRERHJPSowieQhq1ZBp06QlGQvMi1cCD4+VqcSERGR7Dh75SyL9iwCYFDdQRanERERyV0qMInkEV9//WdxqVMnWLQIfH2tTiUiIiLZNW/XPK6kXqFWeC2iS0VbHUdERCRXqcAkkgesXg0dO8LVq9C+PSxZAn5+VqcSERGR7DLGOE6PGxg1EJsuAysiIh5OBSYRi61eDe3awZUr0LYtfPKJiksiIiLubvWR1Rw4fYCCfgV5pNYjVscRERHJdSowiVjor8WlNm3g00/B39/qVCIiIpJTM7fOBOCRmo8Q7B9scRoREZHcpwKTiEX+XlxauhQCAqxOJSIiIjkVfyGez376DIBB9bS4t4iI5A8qMIlYQMUlERERz/Xe9vdITU+lUelG1AqvZXUcERERl1CBScTFvvlGxSURERFPlZqeyuztswEYVFezl0REJP9QgUnEhVatsl8l7soVe5Fp2TIVl0RERDzJikMr+C3xN4oGFqVrta5WxxEREXEZFZhEXOSrr6BjR7h6FTp00ILeIiIinuja4t796vQjwEd/RRIRkfxDBSYRF1ixAjp1gqQk6NwZPvlExSURERFP88vZX1j580oAHq/7uMVpREREXEsFJpFc9vnn9qJScjI88AAsWQJ+flanEhEREWd7Z+s7GAytK7bmtiK3WR1HRETEpVRgEslFH38MXbtCSgo89BAsWgS+vlanEhEREWe7mnqVOTvmADC47mCL04iIiLieCkwiuWThQnj4YUhNhUcegQULVFwSERHxVJ/s+4TTV05TKqQU7Sq1szqOiIiIy6nAJJIL5s61F5XS06FfP/tjHx+rU4mIiEhumfHDDAAej3ocHy996YuISP6jApOIk82caS8qGQOPPQbvvQfe3lanEhERkdyyM2Enm37bhI+XDwPuHGB1HBEREUuowCTiRK+/DoP//7ILw4bBrFngpU+ZiIiIR5v5w0wAHqj6ABEFIyxOIyIiYg39r6+IExgDkyd78eST9sdjx8Ibb4DNZm0uERERyV3nr57nw90fAlrcW0RE8jedIC6SQ8bAhx9W5dNP7efB/fvf8OyzFocSERERl/jgxw+4nHKZasWq0bRsU6vjiIiIWEYFJpEcSE+H4cO9+PTTSgC8+iqOWUwiIiLi2YwxjsW9B9UdhE1Tl0VEJB9TgUkkm1JToX9/mD/fG5vNMH16GoMG6SMlIiKSX6w7uo79p/ZTwLcAvWr1sjqOiIiIpdxyDaYJEyZgs9ky3CIi/lxQ0RjDhAkTKFGiBIGBgTRv3py9e/damFg8TVISdOsG8+eDt7dh+PBtDBhgrI4lIiIiLjRjq332Us+aPQkNCLU4jYiIiLXcssAEUL16deLj4x233bt3O/a9/PLLvP7667z99tv88MMPRERE0KpVKy5cuGBhYvEUly5Bp06wdCn4+cHixWk0a3bc6lgiIiLiQvEX4lm6fykAg+oNsjiNiIiI9dy2wOTj40NERITjVqxYMcA+e2nq1KmMGzeOBx54gBo1ajBv3jwuX77MwoULLU4t7u7sWWjdGlauhKAgWL4cOnbUzCUREZH8Zva22aSmp9K4dGPqRNSxOo6IiIjl3HbBmEOHDlGiRAn8/f1p0KABkydPpkKFCsTFxZGQkEDr1q0dbf39/WnWrBkbN27k8ccfv+FrJiUlkZSU5HicmJgIQEpKCikpKbnXGSe6ltNd8rqThARo186H3bttFCpk+O9/02jQwGjMXUzj7Xoac9fSeDuHxk9yU0paCu9seweAIfWGWJxGREQkb3DLAlODBg2YP38+lSpV4vfff+c///kPjRo1Yu/evSQkJAAQHh6e4Tnh4eEcPXr0pq87ZcoUJk6cmGn7qlWrCAoKcl4HXCA2NtbqCB7l998DmTChEfHxvhQufJXx4zdy+vQFVqz4s43G3LU03q6nMXctjXfOXL582eoI4sE+P/A58RfjKV6gOF2qdbE6joiISJ7glgWmNm3aOO7XrFmT6OhoKlasyLx582jYsCFApsvEGmP+8dKxY8eOZeTIkY7HiYmJlC5dmtatWxMSEuLEHuSelJQUYmNjadWqFb6+vlbH8Qi7d8OgQT7Ex9soX96wYoU3FSve5divMXctjbfracxdS+PtHNdmIYvkhuk/TAfgX3f+Cz9vP4vTiIiI5A1uWWD6uwIFClCzZk0OHTpE586dAUhISCAyMtLR5uTJk5lmNf2dv78//v7+mbb7+vq63UG+O2bOi777Dtq3h3PnoEYNWLnSRokS1x9XjblrabxdT2PuWhrvnNHYSW7Ze3Iva46swcvmxeNRN156QUREJL9x20W+/yopKYn9+/cTGRlJ+fLliYiIyHBqQXJyMmvXrqVRo0YWphR3s3w5tGxpLy41bgzr1kGJElanEhERESvN+GEGAJ0qd6J0aGmL04iIiOQdbllgGjVqFGvXriUuLo4tW7bQtWtXEhMT6dOnDzabjeHDhzN58mSWLVvGnj176Nu3L0FBQfTo0cPq6OIm5s2Dzp3h6lVo1w5WrYLCha1OJSIiIlZKTEpk/o/zAS3uLSIi8ndueYrcb7/9Rvfu3Tl16hTFihWjYcOGbN68mbJlywLw1FNPceXKFQYPHszZs2dp0KABq1atIjg42OLkktcZAy+9BGPH2h/37g3vvQc600JEREQ+2PUBF5MvUiWsCveUv8fqOCIiInmKWxaYFi1adNP9NpuNCRMmMGHCBNcEEo+Qng4jRsC0afbHTz0FU6aAl1vO8xMRERFnMsYwY6v99LjBdQf/48VjRERE8hu3LDCJOFtSkn220pIl9sdvvAHDh1ubSURERPKOtUfXsu+PfRTwLUDv2r2tjiMiIpLnqMAk+d7Zs3D//bB2rf1UuPnz4eGHrU4lIiIieclb378FQK9avQgNCLU4jYiISN6jApPka8eOQZs2sG8fBAfDsmXQooXVqURERCQvOXb+GJ/99BkAQ+sPtTiNiIhI3qQCk+RbO3dC27YQHw8lS8KKFVCrltWpREREJK+ZtXUW6Sade8rfQ/Xi1a2OIyIikidp+WLJl1auhKZN7cWlGjVg0yYVl0RERCSzq6lXeXf7uwAMrafZSyIiIjeiApPkO7NnQ7t2cOEC3H03rF8PpUtbnUpERETyosV7FnPq8inKhJahQ+UOVscRERHJs1RgknwjPR3GjIHHH4e0NPtV4776CgoVsjqZiIiI5EXGGMfi3oPqDsLHS6tLiIiI3Ii+JSVfuHIF+vaFJUvsjydOhOeeA5vN0lgiIiKSh205voVt8dvw9/ZnwJ0DrI4jIiKSp6nAJB4vIQE6dYLvvwdfX4iJgUcesTqViIiI5HVvf/82AN1rdicsKMziNCIiInmbCkzi0Xbtgg4d4NdfoUgRWLoUmjWzOpWIiIjkdQkXE1iy1z71WYt7i4iI/DOtwSQea/lyaNLEXlyqXBm2bFFxSURERG7NnJ1zSElPIbpUNFEloqyOIyIikuepwCQexxh46SXo2BEuXoQWLWDTJrjtNquTiYiIiDtISU/hnW3vADC0vmYviYiI3AoVmMSjXL1qvzrcmDH2QtPjj8OXX0LhwlYnExEREXex8dxGEi4lEFkwkq7VulodR0RExC1oDSbxGPHx0LmzfTFvb2+YNg0GD7Y6lYiIiLib5aeWAzC43mD8vP0sTiMiIuIeVGASj7B5M3TpAidO2Gcrffyx/dQ4ERERkazYcnwLhy4fwt/bn8ejHrc6joiIiNvQKXLi9ubMsS/efeIEVKtmn8Gk4pKIiIhkx1s/vAVAt+rdKFagmMVpRERE3IcKTOK2kpNhyBAYMMB+v3Nn+0wmLeYtIiIi2XE88ThLf1oKwNB6WtxbREQkK1RgErcUHw/33AMzZtgfT5oEn34KwcHW5hIRERH3NeOHGaSmp1K9QHXqhNexOo6IiIhb0RpM4nbWr4eHHoKEBAgJgQ8/hA4drE4lIiIi7uxKyhXe2fYOAO2Ltbc4jYiIiPvRDCZxG8bA1Klw99324lKNGrB1q4pLIiIiknMLdy/k9JXTlA0tS/3Q+lbHERERcTsqMIlbSEyEbt1gxAhIS4Pu3e3rLd1+u9XJRERExN0ZY5j2/TQABkUNwtvmbXEiERER96MCk+R5u3ZBVBR8/DH4+NhnMS1YAAUKWJ1MREREPMGaI2v48fcfCfINol/tflbHERERcUtag0nyLGMgJgaGDoWrV6F0aViyBBo2tDqZiIiIeJLXN78OQL86/SgcWNjiNCIiIu5JM5gkT7pwAR55BAYMsBeX2rSBHTtUXBIRERHnOnDqAMsPLseGjWENhlkdR0RExG2pwCR5zrZtcOedsHAheHvD5MmwfDkULWp1MhEREfcwY8YMypcvT0BAAFFRUaxfv/6m7deuXUtUVBQBAQFUqFCBWbNmZWpz7tw5hgwZQmRkJAEBAVStWpUVK1bkVhdcZurmqQB0qNyB24tqcUcREZHsUoFJ8oz0dPv6StHR8PPPUKYMrFsHY8eCl35TRUREbsnixYsZPnw448aNY8eOHdx11120adOGY8eOXbd9XFwcbdu25a677mLHjh0888wzPPHEE3z66aeONsnJybRq1YojR47wySefcODAAd59911Klizpqm7litOXTzNv1zwARjYcaXEaERER96Y1mCRPSEiAvn1h5Ur7486dYc4cKFLE0lgiIiJu5/XXX6d///4MGDAAgKlTp7Jy5UpmzpzJlClTMrWfNWsWZcqUYepU+0yeqlWrsnXrVl599VW6dOkCQExMDGfOnGHjxo34+voCULZsWRf1KPe8s+0drqRe4c7IO2latqnVcURERNyaCkxiueXLoV8/OHUKAgLgtddg0CCw2axOJiIi4l6Sk5PZtm0bY8aMybC9devWbNy48brP2bRpE61bt86w7d5772XOnDmkpKTg6+vLF198QXR0NEOGDOHzzz+nWLFi9OjRg6effhpvb+/rvm5SUhJJSUmOx4mJiQCkpKSQkpKSk246RVJqEm9teQuA/6v3f6SmpgI4suWFjLlNffVM6qtnUl89k7v09VbzqcAklrl4EUaPhmvLPNSubV93qVo1a3OJiIi4q1OnTpGWlkZ4eHiG7eHh4SQkJFz3OQkJCddtn5qayqlTp4iMjOSXX37h22+/pWfPnqxYsYJDhw4xZMgQUlNTef7556/7ulOmTGHixImZtq9atYqgoKBs9tB5Vp9ZTcKlBIr4FqHgkYKsOJZxPanY2FiLkrme+uqZ1FfPpL56prze18uXL99SOxWYxBIbN0Lv3nD4sP3xyJH2xbz9/a3NJSIi4glsf5sGbIzJtO2f2v91e3p6OsWLF2f27Nl4e3sTFRXFiRMneOWVV25YYBo7diwjR/65rlFiYiKlS5emdevWhISEZKtfzmKM4fk59twjG4+kU6NOjn0pKSnExsbSqlUrx+mAnkp99Uzqq2dSXz2Tu/T12izkf6ICk7hUUhJMmAAvv2xf1Lt0aZg7F+65x+pkIiIi7i8sLAxvb+9Ms5VOnjyZaZbSNREREddt7+PjQ9H/fwnXyMhIfH19M5wOV7VqVRISEkhOTsbPzy/T6/r7++N/nb8c+fr6Wn4QvTpuNT+e/JEg3yAG1R903Tx5IaerqK+eSX31TOqrZ8rrfb3VbLo2l7jMDz9AVBS8+KK9uNS7N+zereKSiIiIs/j5+REVFZVpqn1sbCyNGjW67nOio6MztV+1ahV169Z1HFA2btyYn3/+mfT0dEebgwcPEhkZed3iUl736qZXAehTuw9FAnVFEREREWdQgUly3dWrMHYsNGwIe/dC8eLw6acwbx6EhlqdTkRExLOMHDmS9957j5iYGPbv38+IESM4duwYAwcOBOynrvXu3dvRfuDAgRw9epSRI0eyf/9+YmJimDNnDqNGjXK0GTRoEKdPn2bYsGEcPHiQ//3vf0yePJkhQ4a4vH85tefkHlYcWoENGyOjR/7zE0REROSW6BQ5yVUbNsBjj8H+/fbHPXrAm29CWJi1uURERDxVt27dOH36NJMmTSI+Pp4aNWqwYsUKypYtC0B8fDzHjh1ztC9fvjwrVqxgxIgRTJ8+nRIlSjBt2jS6dOniaFO6dGlWrVrFiBEjqFWrFiVLlmTYsGE8/fTTLu9fTr260T576YGqD3BbkdssTiMiIuI5VGCSXHH+PIwZ8+cV4sLD7fc7d7Y2l4iISH4wePBgBg8efN19c+fOzbStWbNmbN++/aavGR0dzebNm50RzzLHE4+zcPdCAEY3Gm1xGhEREc+iU+TEqYyxn/5WrdqfxaX+/e0zmFRcEhERESu9ueVNUtJTaFq2KQ1KNbA6joiIiEfRDCZxmsOHYehQ+Oor++Pbb4fZs6F5c0tjiYiIiHD+6nlmbbX/9Uuzl0RERJxPM5gkx65ehX//G2rUsBeX/Pzg2Wdh1y4Vl0RERCRvmL1tNheSL1CtWDXa3t7W6jgiIiIeRzOYJNuMgc8/h5EjIS7Ovq1FC5g+HSpXtjabiIiIyDXJaclM3TIVgFHRo/Cy6W+sIiIizqZvV8mWvXuhdWu4/357calkSfjoI4iNVXFJRERE8paFuxdy4sIJIgtG0qNmD6vjiIiIeCQVmCRLfv8dBg6EWrXg66/B3x/GjYMDB+Dhh8FmszqhiIiIyJ/STTqvbnwVgOENh+Pv429xIhEREfbZoAMAACAASURBVM+kU+Tklly+DFOnwpQpcPGifdv998Orr0KFCtZmExEREbmR5QeXs/ePvQT7BfNY1GNWxxEREfFYKjDJTaWkwJw5MGkSxMfbt9WrB6+9BnfdZW02ERERkZsxxjB5/WQAhtQbQqGAQhYnEhER8VwqMMl1paXB4sXw/PNw+LB9W7ly8MIL9lPhvHRypYiIiORxa46sYcvxLQT4BDC84XCr44iIiHg0FZgkg7Q0+Phj+4yl/fvt24oXh+eeg8ceAz8/a/OJiIiI3KrJG+yzl/rf0Z/wguEWpxEREfFsKjAJAKmpsGSJfYbSvn32bYULw5NPwrBhULCgtflEREREsuKH4z/w9S9f4+Plw+hGo62OIyIi4vFUYMrnrl6FefPg5Zfhl1/s2woVgpEj4YknIDTU2nwiIiIi2TFlwxQAetbsSdlCZS1OIyIi4vlUYMqnTp+GWbPg7bchIcG+LSwMhg+HoUNVWBIRERH3te+PfSz7aRk2bDzd+Gmr44iIiOQLKjDlM/v3w1tvwdy5cOWKfVvp0jBqFAwYAEFBlsYTERERybGXvnsJgPur3k/VYlUtTiMiIpI/qMCUD6Smwn//a5+t9O23f26/4w77GksPPQS+vtblExEREXGWI+eOsODHBQCMbTLW4jQiIiL5hwpMHuzIEYiJsd+OH7dv8/KC9u1hxAho1gxsNksjioiIiDjVixteJM2k0apCK+qWqGt1HBERkXxDBSYPc/kyrFtXkunTvfn6azDGvj0szH4K3MCBUFbrXIqIiIgHOnb+GDE7YgB4rulzFqcRERHJX1Rg8gBpabB2LXz4IXzyiQ8XLvz517oWLeyFpc6dISDAwpAiIiIiuezFDS+Skp7C3eXu5q6yd1kdR0REJF9RgclNpaXBxo2weDF88gn8/vu1PTaKF7/EgAEB9O/vTYUKVqYUERERcY3fEn9jzo45AIxvNt7iNCIiIvmPCkxu5MoV+OYb+Owz+6LdJ0/+ua9wYejaFbp3T+Xcua9p374tvr7e1oUVERERcaEXN7xIcloyzco2o1m5ZlbHERERyXdUYMrjDh+GL7+031avtheZrilUCDp1gm7doGVL+5XgUlIMK1ZYl1dERETE1Y4nHufd7e8Cmr0kIiJiFRWY8pgTJ2DNGvj2W/tspSNHMu4vVcq+nlLnztC0qb2oJCIiIpKfvfTdSySnJXNXmbtoXq651XFERETyJRWYLJSaCnv3wpYt8N13sH49xMVlbOPjA02aQJs29luNGmCzWZNXREREJK85ceEEs7fNBuyzl2w6UBIREbGExxeYZsyYwSuvvEJ8fDzVq1dn6tSp3HWXtVcVefddmD8ftm3LeMobgJcX1KkD99xjvwJckyZQsKA1OUVERETyupe/e5mktCQal27MPeXvsTqOiIhIvuXRBabFixczfPhwZsyYQePGjXnnnXdo06YN+/bto0yZMpblOnoUNmyw3w8Jgfr1oWFDuOsu+39DQiyLJiIiIuI2LiZfzHDlOM1eEhERsY5HF5hef/11+vfvz4ABAwCYOnUqK1euZObMmUyZMsWyXA8+CLffDg0aQKVK9llLIiIiIpI1Bf0KsvPxnSzas4iWFVpaHUdERCRf89gCU3JyMtu2bWPMmDEZtrdu3ZqNGzdalMqudm37TURERERypmKRioxrOs7qGCIiIvmexxaYTp06RVpaGuHh4Rm2h4eHk5CQcN3nJCUlkZSU5HicmJgIQEpKCikpKbkX1omu5XSXvJ5AY+5aGm/X05i7lsbbOTR+IiIiIq7lsQWma/5+Lr4x5obn50+ZMoWJEydm2r5q1SqCgoJyJV9uiY2NtTpCvqMxdy2Nt+tpzF1L450zly9ftjqCiIiISL7isQWmsLAwvL29M81WOnnyZKZZTdeMHTuWkSNHOh4nJiZSunRpWrduTYibrLydkpJCbGwsrVq1wtfX1+o4+YLG3LU03q6nMXctjbdzXJuFLCIiIiKu4bEFJj8/P6KiooiNjeX+++93bI+NjaVTp07XfY6/vz/+/v6Ztvv6+rrdQb47ZnZ3GnPX0ni7nsbctTTeOaOxExEREXEtjy0wAYwcOZJevXpRt25doqOjmT17NseOHWPgwIFWRxMRERERERER8RgeXWDq1q0bp0+fZtKkScTHx1OjRg1WrFhB2bJlrY4mIiIiIiIiIuIxPLrABDB48GAGDx5sdQwREREREREREY/lZXUAERERERERERFxbyowiYiIiIiIiIhIjqjAJCIiIiIiIiIiOaICk4iIiIiIiIiI5IgKTCIiIiIiIiIikiMqMImIiIiIiIiISI6owCQiIiIiIiIiIjmiApOIiIiIiIiIiOSICkwiIiIiIiIiIpIjKjCJiIiIiIiIiEiOqMAkIiIiIiIiIiI5ogKTiIiIiIiIiIjkiI/VAfIyYwwAiYmJFie5dSkpKVy+fJnExER8fX2tjpMvaMxdS+Ptehpz19J4O8e17+5r3+ViPXc5rspPn0H11TOpr55JffVM7tLXWz2uUoHpJi5cuABA6dKlLU4iIiIi2XHhwgVCQ0OtjiHouEpERMTd/dNxlc3oT3s3lJ6ezokTJwgODsZms1kd55YkJiZSunRpfv31V0JCQqyOky9ozF1L4+16GnPX0ng7hzGGCxcuUKJECby8tCJAXuAux1X56TOovnom9dUzqa+eyV36eqvHVZrBdBNeXl6UKlXK6hjZEhISkqd/QT2Rxty1NN6upzF3LY13zmnmUt7ibsdV+ekzqL56JvXVM6mvnskd+norx1X6k56IiIiIiIiIiOSICkwiIiIiIiIiIpIj3hMmTJhgdQhxLm9vb5o3b46Pj86AdBWNuWtpvF1PY+5aGm8Ra+Wnz6D66pnUV8+kvnomT+qrFvkWEREREREREZEc0SlyIiIiIiIiIiKSIyowiYiIiIiIiIhIjqjAJCIiIiIiIiIiOaICk4iIiIiIiIiI5IgKTG5gypQp1KtXj+DgYIoXL07nzp05cOBAhjbGGCZMmECJEiUIDAykefPm7N27N0ObpKQk/u///o+wsDAKFChAx44d+e2331zZFbc0ZcoUbDYbw4cPd2zTeDvf8ePHeeSRRyhatChBQUHUqVOHbdu2OfZrzJ0nNTWVZ599lvLlyxMYGEiFChWYNGkS6enpjjYa75xZt24dHTp0oESJEthsNj777LMM+501vmfPnqVXr16EhoYSGhpKr169OHfuXK73T8TdzZgxg/LlyxMQEEBUVBTr16+/YdulS5fSqlUrihUrRkhICNHR0axcudKFaXMmK33dsGEDjRs3pmjRogQGBlKlShXeeOMNF6bNmaz09a++++47fHx8qFOnTi4ndJ6s9HXNmjXYbLZMt59++smFibMvq+9rUlIS48aNo2zZsvj7+1OxYkViYmJclDZnstLXvn37Xvd9rV69ugsTZ19W39cFCxZQu3ZtgoKCiIyMpF+/fpw+fdpFaXMmq32dPn06VatWJTAwkMqVKzN//nwXJXUCI3nevffea95//32zZ88es3PnTtOuXTtTpkwZc/HiRUebF1980QQHB5tPP/3U7N6923Tr1s1ERkaaxMRER5uBAweakiVLmtjYWLN9+3Zz9913m9q1a5vU1FQruuUWvv/+e1OuXDlTq1YtM2zYMMd2jbdznTlzxpQtW9b07dvXbNmyxcTFxZmvv/7a/Pzzz442GnPn+c9//mOKFi1qli9fbuLi4szHH39sChYsaKZOnepoo/HOmRUrVphx48aZTz/91ABm2bJlGfY7a3zvu+8+U6NGDbNx40azceNGU6NGDdO+fXuX9VPEHS1atMj4+vqad9991+zbt88MGzbMFChQwBw9evS67YcNG2Zeeukl8/3335uDBw+asWPHGl9fX7N9+3YXJ8+6rPZ1+/btZuHChWbPnj0mLi7OfPDBByYoKMi88847Lk6edVnt6zXnzp0zFSpUMK1btza1a9d2UdqcyWpfV69ebQBz4MABEx8f77i5w/d1dt7Xjh07mgYNGpjY2FgTFxdntmzZYr777jsXps6erPb13LlzGd7PX3/91RQpUsSMHz/etcGzIat9Xb9+vfHy8jJvvvmm+eWXX8z69etN9erVTefOnV2cPOuy2tcZM2aY4OBgs2jRInP48GHz0UcfmYIFC5ovvvjCxcmzRwUmN3Ty5EkDmLVr1xpjjElPTzcRERHmxRdfdLS5evWqCQ0NNbNmzTLG2P8B8vX1NYsWLXK0OX78uPHy8jJfffWVazvgJi5cuGBuv/12Exsba5o1a+YoMGm8ne/pp582TZo0ueF+jblztWvXzjz66KMZtj3wwAPmkUceMcZovJ3t7wUmZ43vvn37DGA2b97saLNp0yYDmJ9++im3uyXiturXr28GDhyYYVuVKlXMmDFjbvk1qlWrZiZOnOjsaE7njL7ef//9ju+HvCy7fe3WrZt59tlnzfjx492mwJTVvl4rMJ09e9YV8Zwqq3398ssvTWhoqDl9+rQr4jlVTj+vy5YtMzabzRw5ciQ34jlVVvv6yiuvmAoVKmTYNm3aNFOqVKlcy+gsWe1rdHS0GTVqVIZtw4YNM40bN861jM6kU+Tc0Pnz5wEoUqQIAHFxcSQkJNC6dWtHG39/f5o1a8bGjRsB2LZtGykpKRnalChRgho1ajjaSEZDhgyhXbt2tGzZMsN2jbfzffHFF9StW5cHH3yQ4sWLc8cdd/Duu+869mvMnatJkyZ88803HDx4EIBdu3axYcMG2rZtC2i8c5uzxnfTpk2EhobSoEEDR5uGDRsSGhqq90DkBpKTk9m2bVuGzxZA69atb/lzk56ezoULFxzHYXmVM/q6Y8cONm7cSLNmzXIjotNkt6/vv/8+hw8fZvz48bkd0Wly8r7ecccdREZG0qJFC1avXp2bMZ0iO329dkz58ssvU7JkSSpVqsSoUaO4cuWKKyJnmzM+r3PmzKFly5aULVs2NyI6TXb62qhRI3777TdWrFiBMYbff/+dTz75hHbt2rkicrZlp69JSUkEBARk2BYYGMj3339PSkpKrmV1Fh+rA0jWGGMYOXIkTZo0oUaNGgAkJCQAEB4enqFteHg4R48edbTx8/OjcOHCmdpce778adGiRWzfvp0ffvgh0z6Nt/P98ssvzJw5k5EjR/LMM8/w/fff88QTT+Dv70/v3r015k729NNPc/78eapUqYK3tzdpaWm88MILdO/eHdDveG5z1vgmJCRQvHjxTK9fvHhxvQciN3Dq1CnS0tKu+/m71c/Na6+9xqVLl3jooYdyI6LT5KSvpUqV4o8//iA1NZUJEyYwYMCA3IyaY9np66FDhxgzZgzr16/Hx8d9/pcoO32NjIxk9uzZREVFkZSUxAcffECLFi1Ys2YNTZs2dUXsbMlOX3/55Rc2bNhAQEAAy5Yt49SpUwwePJgzZ87k6XWYcvpvU3x8PF9++SULFy7MrYhOk52+NmrUiAULFtCtWzeuXr1KamoqHTt25K233nJF5GzLTl/vvfde3nvvPTp37sydd97Jtm3biImJISUlhVOnThEZGemK6NnmPv+aCgBDhw7lxx9/ZMOGDZn22Wy2DI+NMZm2/d2ttMlvfv31V4YNG8aqVasyVY//SuPtPOnp6dStW5fJkycD9r+w7d27l5kzZ9K7d29HO425cyxevJgPP/yQhQsXUr16dXbu3Mnw4cMpUaIEffr0cbTTeOcuZ4zv9drrPRD5Z9n5/AF89NFHTJgwgc8///y6Bd68KDt9Xb9+PRcvXmTz5s2MGTOG2267zfFHiLzsVvualpZGjx49mDhxIpUqVXJVPKfKyvtauXJlKleu7HgcHR3Nr7/+yquvvpqnC0zXZKWv6enp2Gw2FixYQGhoKACvv/46Xbt2Zfr06QQGBuZ63pzI7r9Nc+fOpVChQnTu3Dm3ojldVvq6b98+nnjiCZ5//nnuvfde4uPjGT16NAMHDmTOnDmuiJsjWenrc889R0JCAg0bNsQYQ3h4OH379uXll1/G29vbFXFzRKfIuZH/+7//44svvmD16tWUKlXKsT0iIgIgUxX05MmTjmppREQEycnJnD179oZtxG7btm2cPHmSqKgofHx88PHxYe3atUybNg0fHx/HeGm8nScyMpJq1apl2Fa1alWOHTsG6Hfc2UaPHs2YMWN4+OGHqVmzJr169WLEiBFMmTIF0HjnNmeNb0REBL///num1//jjz/0HojcQFhYGN7e3jf9/N3I4sWL6d+/P0uWLMl0+nxelJO+li9fnpo1a/Kvf/2LESNGMGHChFxMmnNZ7euFCxfYunUrQ4cOdRzrTZo0iV27duHj48O3337rquhZlpP39a8aNmzIoUOHnB3PqbLT18jISEqWLOkoLoH9mNIYk6evdJuT99UYQ0xMDL169cLPzy83YzpFdvo6ZcoUGjduzOjRo6lVqxb33nsvM2bMICYmhvj4eFfEzpbs9DUwMJCYmBguX77MkSNHOHbsGOXKlSM4OJiwsDBXxM4RFZjcgDGGoUOHsnTpUr799lvKly+fYX/58uWJiIggNjbWsS05OZm1a9fSqFEjAKKiovD19c3QJj4+nj179jjaiF2LFi3YvXs3O3fudNzq1q1Lz5492blzJxUqVNB4O1njxo05cOBAhm0HDx50nEOu33Hnunz5Ml5eGf/59/b2Jj09HdB45zZnjW90dDTnz5/n+++/d7TZsmUL58+f13sgcgN+fn5ERUVl+GwBxMbG3vRz89FHH9G3b18WLlyY59f8uCa7ff07YwxJSUnOjudUWe1rSEhIpmO9gQMHUrlyZXbu3Jlhbbu8xlnv644dO/L8qTbZ6Wvjxo05ceIEFy9edGw7ePAgXl5eGf5An9fk5H1du3YtP//8M/3798/NiE6Tnb7e6NgV7P9G5VU5eV99fX0pVaoU3t7eLFq0iPbt22cagzzJRYuJSw4MGjTIhIaGmjVr1mS4FOXly5cdbV588UUTGhpqli5danbv3m26d+9+3UtelypVynz99ddm+/bt5p577tElxW/RX68iZ4zG29m+//574+PjY1544QVz6NAhs2DBAhMUFGQ+/PBDRxuNufP06dPHlCxZ0ixfvtzExcWZpUuXmrCwMPPUU0852mi8c+bChQtmx44dZseOHQYwr7/+utmxY4fjkrTOGt/77rvP1KpVy2zatMls2rTJ1KxZ07Rv397l/RVxJ9cuGT1nzhyzb98+M3z4cFOgQAHHlZfGjBljevXq5Wi/cOFC4+PjY6ZPn57hOOzcuXNWdeGWZbWvb7/9tvniiy/MwYMHzcGDB01MTIwJCQkx48aNs6oLtyyrff07d7qKXFb7+sYbb5hly5aZgwcPmj179pgxY8YYwHz66adWdeGWZbWvFy5cMKVKlTJdu3Y1e/fuNWvXrjW33367GTBggFVduGXZ/R1+5JFHTIMGDVwdN0ey2tf333/f+Pj4mBkzZpjDhw+bDRs2mLp165r69etb1YVbltW+HjhwwHzwwQfm4MGDZsuWLaZbt26mSJEiJi4uzqIeZI0KTG4AuO7t/fffd7RJT08348ePNxEREcbf3980bdrU7N69O8PrXLlyxQwdOtQUKVLEBAYGmvbt25tjx465uDfu6e8FJo238/33v/81NWrUMP7+/qZKlSpm9uzZGfZrzJ0nMTHRDBs2zJQpU8YEBASYChUqmHHjxpmkpCRHG413zly7JPTfb3369DHGOG98T58+bXr27GmCg4NNcHCw6dmzp1tehlrE1aZPn27Kli1r/Pz8zJ133mnWrl3r2NenTx/TrFkzx+NmzZrd9POc12Wlr9OmTTPVq1c3QUFBJiQkxNxxxx1mxowZJi0tzYLkWZeVvv6dOxWYjMlaX1966SVTsWJFExAQYAoXLmyaNGli/ve//1mQOnuy+r7u37/ftGzZ0gQGBppSpUqZkSNHZvjDfF6W1b6eO3fOBAYGZjpudgdZ7eu0adNMtWrVTGBgoImMjDQ9e/Y0v/32m4tTZ09W+rpv3z5Tp04dExgYaEJCQkynTp3MTz/9ZEHq7LEZk4fnlImIiIiIiIiISJ7nBifxiYiIiIiIiIhIXqYCk4iIiIiIiIiI5IgKTCIiIiIiIiIikiMqMImIiIiIiIiISI6owCQiIiIiIiIiIjmiApOIiIiIiIiIiOSICkwiIiIiIiIiIpIjKjCJx7LZbP9469u3r9Ux86Q1a9ZkGqvAwEAiIiKIjo5m2LBhbN682eqYWTJhwgRsNhtz5861Ogrnzp2jaNGidO/ePcP2uXPnOsa7SpUqN32Ntm3bOtpOmDAh21lmzJiBzWajRYsW/9j28uXLBAcHY7PZOHTo0C29/vz587njjjsIDAy8pX7lBceOHcPf358nn3zS6igiIh7r2ndY4cKFOXfu3HXbXPvufvHFF12c7p9dO1bK68eS5cqVy3A85+PjQ5EiRahSpQo9evRg3rx5XL161eqYt+zIkSPYbDaaN29udRQA+vXrR3BwMKdOncq0b9q0aVSvXh1/f/88lflmduzYgc1m45VXXrE6irgpH6sDiOS2Pn363HBfkyZNXJjE/YSHh3PfffcBkJqaypkzZ9i1axebN29m2rRptG7dmnnz5hEREWFx0uxr3rw5a9euJS4ujnLlyrnkZ77wwgucO3eO55577oZtDhw4wNatW6lbt26mfSdPniQ2NtYpWbp168bw4cNZs2YNx48fp2TJkjds+/nnn3Px4kUaNGjA7bff/o+v/d1339G3b18KFChAmzZtCAkJITIy0im5sys9PZ2GDRty5swZjDGkpKTQtm1bXn31VQoWLAhAmTJl6Nu3L2+//TZDhw6lfPnylmYWEfFk586d44033mDixIlWR/FoXbp0oWDBghhjSExMJC4ujiVLlvDRRx/x9NNP8/7779OmTRurY2bb3Llz6devH+PHj8/RH96yYvfu3cyfP5/Ro0cTFhaWYd/SpUsZNmwYhQsXpmPHjhQoUMDyP7KdOnWK1q1bk5iYSHp6Ounp6Tz44IO88MIL+Pn5AXDHHXfQsWNHJk+eTP/+/SlSpIilmcUNGREPBRj9imfP6tWrDWCaNWt23f3r1q0zderUMYCpUqWKOX/+vGsDZsMff/xh9u/fb86dO5dhe7NmzQxg4uLiXJLjxIkTxt/f33Tu3DnTvvfff98A5o477jCAGTZs2HVf48033zSAufPOOw1gxo8fn6NMnTp1MoB55ZVXbtqubdu2BjBvvfXWLb3u6NGjDWAWLFiQo3zOdvToUcf9X3/91RQrVswMHTo0Q5vDhw8bm81mevfu7ep4IiL5AmC8vLyMn5+fCQkJMWfOnMnUZvz48QYwU6ZMsSDhzV07VurTp4/VUW6qbNmyNzzOiY+PN0OGDHG8F19++aXrA2ZRcnKy2b9/f4bvcmP+PIbK6TFRVnTs2NH4+vqakydPZtrXq1cvA5hvvvnGZXn+SVJSkjlx4oTj8YEDB0xAQID5z3/+k6Hdpk2bDGCeeuopV0cUD6BT5EQky+666y6+++47atasyU8//eSyvxTlRFhYGFWqVCE0NNTSHDExMSQlJdG7d+8btqlfvz6VKlVi0aJFpKWlZdr/4YcfEhoaSocOHZySqVevXgAsWLDghm1OnTrFqlWr8PX15eGHH76l1/3tt98AqFChQs5DOlGZMmUc9y9dukRqamqmNhUqVKBRo0YsWbKEM2fOuDKeiEi+4evry4ABA0hMTOT111+3Ok6+ExERwdtvv82///1v0tPT6devH0lJSVbHuilfX1+qVKmS4bvcCr/++ivLly+nTZs2FCtWLNP+vHgM5Ofnl2Em+YULF0hPT8/UrmHDhtx2223ExMSQnJzsyojiAVRgEvkLm81GuXLlSEtL4+WXX6ZSpUr4+/tTunRpnn766Rt+6V68eJFJkyZRs2ZNgoKCCAkJoVmzZnz22WeZ2v713PHExESefPJJypcvj6+vL8OHD8/wmqNGjaJ06dIEBgZSrVo1pk2bhjHGkfOaV155BZvNxrhx427Yt7vvvhubzcaGDRuyP0B/ERQUxBtvvAHA7Nmzr3v+/oYNG7j//vspXrw4/v7+lCtXjieeeII//vgjU9u+fftis9lYs2YN69at45577iE4OJiQkBDatWvHvn37Mj3HGMOiRYto2rQpERERBAQEULp0aVq2bMn06dMztP37GkzX3oe1a9cCUL58+QxrFAC0a9cOm812w9PRLl26REhICKGhoVy6dOkfx8wYw5w5cyhUqBDt2rW7aduePXvy+++/8/XXX2fYfujQIX744Qe6dOlCQEDATX/WvHnzaNq0KYUKFSIwMJBatWrx6quvkpKSkqFt+/btKVy4MDt37mTv3r3Xfb1FixaRmprKvffem2ka+N/NmjULm83GRx99BEB0dLRjXBctWgTAww8/jM1mY/PmzXz55Zc0adKEggULEhERwaBBg7h48SIA8fHx9O/fn8jISAIDA4mOjua777676c+/FU8++SQlS5akSpUq3HvvvUyZMiVTmx49enD16lU++OCDHP88ERG5vmeeeQZ/f3/efPPNWy7oN2/eHJvNxpEjRzLtu9EaPX89Dti2bRtt2rShUKFCFClShIceeshRELh06RKjR4+mXLlyBAQEUKNGDT755JOb5omPj6dv376Eh4cTGBjInXfeyfz582/Y/o8//mDUqFFUrlyZgIAAChcuTJs2bVi3bl2mtn9d6ykhIYEBAwZQqlQpfHx8mDp16j8P1i0YO3YsZcuWJSEhgY8//thpec+cOcOgQYOIjIzE39+fGjVqEBMTc90M+/fvp1evXlSsWJGAgACKFStGnTp1GD58OPHx8Y5213t/mzdvTr9+/QCYOHFihuO5uXPn8vHHH2Oz2ejZs+cNx6Bfv37YbDY+/PDDWxqzmJgY0tPTM73mtd+z1atXAxmPL9esWePIe+3375wgUwAAIABJREFUd/HixdSrV4+goCBKlizJU0895SjqHD58mO7du1O8eHGCgoK45557+PHHH28p38307t2b8PBw6tWrR//+/Rk9enSmNt27d+fUqVMsW7Ysxz9P8hlrJ1CJ5B6ycYocYMqWLWu6detmChQoYO6++27Tvn17ExoaagDTs2fPTM9JSEgw1apVM4ApWbKk6dixo2nZsqUpUKDAdad1x8XFGcDUr1/f1KlTxxQuXNh07tzZPPDAA2bChAnGGGOuXLli6tevbwBTrFgx07VrV3PfffcZPz8/88QTTzhyXvPHH38Yf39/ExkZaVJSUjJlPHTokLHZbKZKlSq3NA7/dIrcXxUrVswAZt26dRm2v/nmm8Zmsxlvb28THR1tunbtaqpUqWIAU758+QxTdI0xpk+fPgYwI0eONN7e3qZ27dqmS5cuplKlSgYwRYsWNfHx8Rme8/TTTxvABAcHmzZt2pju3bub5s2bm7CwsAzjY8yf0+zff/99Y4x9zPr06WPCw8MNYLp06WL69OnjuBljzBdffGEA8+CDD1637++9954BzMCBA/9xnIwxZs+ePQYwbdq0ue7+a9O7H3/8cfPzzz8bwPTq1StDm+eff94A5ttvvzVTpky57nTwtLQ08+CDDxrAhISEmBYtWphOnTqZiIgIA5i2bduatLS0DM957LHHDGDGjh173WwNGzY0gFm8ePE/9vPbb781ffr0MeXKlXP8vGvjunnzZmOMMd26dXOcBujl5WXq1atnHnjgAVOiRAkDmNatW5uEhARTpkwZU6pUKdO5c2dTr149A5jAwEDz008/ZfiZTZo0MRUrVrzh7UbT/n/88UdTunRpM3ny5Ez79u7dawDTqlWrf+yziIhkDWD8/f2NMcYMHTrUAOaZZ57J0OZGp8jd7PT2a8dZfz+GufZaAwcONP7+/qZ69eqmS5cu5rbbbjOAqVSpkjl37pypV6+eKVq0qGnfvr1p3ry5sdlsxmazma+++irD6107VurQoYMpU6aMCQ8PNw899JBp1aqV8fHxMYDjuO6v9u/fb0qWLGkAU7FiRXP//febpk2bGj8/P+Pl5ZXptPJrP6dt27amVKlSJiIiwnTt2tW0b9/evPPOO/84zjc7Re6vRo0aZQDz6KOPOiVvp06dTKVKlUx4eLjp0KGDufvuu423t7cBzLvvvpvhOdu2bTOBgYHGZrOZBg0amIcffti0a9fOVK1a1QBm9erVjrbXe3+nTJliGjdubABTu3btDMdz69evN8nJySYiIsL4+/ub06dPZ+r7+fPnTYECBUyhQoXMlStX/nFMjTGmbt26BjC///57hu3Lli274fHl/v37jTF//v4OHz7c+Pj4mOjoaNO5c2cTFhZmANO7d29z8OBBExYWZipUqGAeeOABU7NmTQOYIkWKmISEhAw/s3Llyjc9Btq6det1+7Bx40ZTrFixTO+HMcZ888031z0OFfknKjCJx8pugQkwVatWzfBF/Msvv5jChQsbwPz8888ZntOmTRvHecrJycmO7YcPHzYVK1Y03t7eZteuXY7t174YARMdHW3Onj2bKce///1vx/6/rm+0a9cuR46/F1B69OhhAPPZZ59ler1rhZjXXnvtlsYhKwWmli1bGiDDQc6mTZvM/2PvvsOiOtoGDv+WrsCqEUEUFMSu2GKLUUQTscTeO1hj4hu/xK6J0ZTXXqNGE43BRLGXiMaSiL1rJGoUjRV7xAYoSNnz/bHvrqy7wAJLM899XV7qnLPnzJlts8+ZecbKykopXbq0wbVrNBrlyy+/VAClc+fOBsfRBZisrKyUkJAQfXlSUpLSqVMnBVAmTJigL4+Li1Ps7e0VLy8vo85CYmKism/fPoOyVwNMOml1UpOSkhRPT0/Fzs7O5Pz6evXqKYBy6tSp1BsohUWLFimA8vnnn5vcnjLApCjaoI6Tk5Py7Nkz/T4+Pj5KyZIlleTk5FQDTNOmTdMHRlLWOzY2VmnTpo0CKAsWLDB4zIEDB/SvK41GY7BNF+xSq9Vmd7wU5WUQ6ciRI6lus7W1VUJDQ/Xljx8/VipUqKAASuXKlZW+ffsqL1680G/XdYAHDx5sdj3S88EHHyjFihUzKk9OTlbUarXi5ORkMnArhBAi81IGmG7fvq04ODgozs7OSlRUlH6f7AgwAcqcOXP05QkJCfq+TOXKlRV/f3+DfFC6m0l+fn4Gx9P1lXTft7Gxsfptx48fV5ycnBQrKyvl9OnT+vKkpCSlatWqCqDMmzfP4Pv2jz/+UIoWLao4OjoaBC1SnqdDhw4Z+h5WFPMDTCtWrND3PS1V306dOhm0y+bNmxVAKVWqlMG5dX3ADRs2GNXr/PnzBjclU3t+08vBNH78eAVQ5s6da7RN1z/76KOPTDfOK2JiYhQbGxuj60gprdeobpuzs7PBDdq7d+8qbm5uikqlUipVqqQMHz5cf0NQo9Eoffv2TbMfmRkdOnRQfH19jcqjo6MVKysrxcvLy2LnEv8OMkVOvPZSDpN99Y+pKWwA8+fPN5iC5u3tTe/evQE4cOCAvjw8PJzt27fToEEDpk6diq2trX5bmTJlmDVrFsnJySxdutTkeb755hsKFy5sVP7dd98BMHv2bNRqtb68WrVqfPTRRyaP9f777wMYnSspKYnly5djZ2eXZt6fzNJNl3r8+LG+bOrUqWg0Gr7//nuqVaumL1epVHz22WfUrFmTjRs3mlzStWfPnvTo0UP/f2tra8aPHw9gMBQ7OjqaFy9eUL16daMVLmxsbPDz88vytVlbWzNw4EASEhKMhrqfO3eOY8eOUbNmTWrVqmXW8XTDmitUqGDW/r179yY2NpZffvkFgCNHjnDlyhV69uyJlZXpj++kpCRmzJiBs7MzISEhBnkBHB0dWbJkCfb29vrXmE7Dhg3x9vbmxo0bRtModbmZOnfunOa0vMzo168frVu31v+/cOHCDBgwAID79++zYMEC/comgH4Yt25qY0bdunWLa9eu6f9/+fJltm/fbnK1PisrK8qVK0dsbCxXr17N1PmEEEKkr0SJEgwePJiYmBhmzpyZrefy8/MzSElga2vLsGHDAO0KrkuWLKFIkSL67UFBQbi4uHDkyBGjKeag7dvMnz8fR0dHfVmdOnUYOnQoGo2GRYsW6ctDQ0M5d+4cPXr0YNiwYfop+aBdvWvChAk8e/bM5DQte3t75s+fb/HvYR1T/bms1FetVvP9998btEu7du3w9fUlMjLSYHrjP//8A0DTpk2NjlOpUiWLrEA7aNAgrKysTPbJdWUDBw4061jnz58nKSnJ7P5caj755BMaNWqk/3/x4sXp1asXiqKQkJDAtGnT9P09lUrFiBEjgMz3gS5fvsydO3f0/w8PD+fAgQMm+0DOzs64u7tz/fp1oqOjM3U+8e8kASbx2gsMDEz1j6kEgba2tkbz9gHKly8PYDAPXJebp127dgZfujoNGzYE4MSJE0bb3N3dTX6gR0ZGcuvWLTw8PKhfv77R9i5dupi8Tj8/PypXrsz27du5ffu2vjw0NJR79+7RoUOHdHPnZIaiKAD669doNOzevRtnZ2feeecdo/1VKhVvv/02Go2GU6dOGW0PCAgwKjPV9q6urnh4eLBt2zZmzJhh8IVpSQMHDsTGxsaoQ7JkyRIABg8ebPaxdB2olB3XtHTr1g1bW1t9x033ty7Yacrp06eJioqiYcOGJp9vNzc3ypUrx7lz54iLizPYpjvuqx1FXYAprfNmVrNmzYzKdAkx69evj7Ozs8E2V1dXnJycDF4LGXH37l3atWuHl5cX3t7eBAQE0KJFi1RzLuiCl6byhgkhhLCcsWPH4uDgwIIFC0zegLKUtL53vLy8KFu2rME2a2trvLy8SExMNFmvmjVrmgw06G6Wpbxpo+s3tm/f3mTd0uo31qpVi5IlS5p8nCW82p+DrNW3du3aJpe4N9Wne/PNNwFtbqDjx4+bTDydVV5eXjRv3pxz585x9OhRffnp06c5deoU9erVM7gpmpaM9udSk9Zr0d/fHxsbG4NtPj4+AJnuA129epVmzZrh5eWFl5cXnTt3JjAwkAULFpjcX/pAIjMkwCRee8HBwan+MTXyxN3dHWtra6NyJycnAINE37q7L2PGjDE5Qkr3A99UhyS11S90gRJPT0+T29NaNWPw4MEkJycbJFDUBUIGDRqU6uOyQndtui+hhw8fEhsbS0xMDDY2NibbRfdFZqpdPDw8jMpMtT3A8uXLKVKkCKNHj6ZkyZKUKVOGoKAgdu3aZbHrK1GiBK1btyYiIkI/eu3FixesWLGCggUL0rNnT7OP9fTpUwCjoElqXFxcaN68Obt27eLOnTusXbsWX1/fNDtAutfk9u3bUx25d+7cORRFMUqmqltNbt26dfoEkydOnODSpUt4enrSuHFjs6/VXKY6y7q7nal1pB0dHTO9yk2dOnU4c+YM169f59q1a1y9epVFixaZ7AQD+hGEuudOCCFE9nB3d2fIkCHExsYyY8aMbDtPZr93wLgfAlC6dGmTj9GNhE95A0z3Hd2tWzeT38+6G48Z6Tdayqv9uazW11R/Dkz36UaNGoW/vz+hoaHUq1ePN954g+bNmzN//nxiYmIscn3wcrS/rm+c8t8Z6SdntD+Xmoy+FtN6HZojICCAv/76i+vXr3P9+nUuX77MzJkzKViwoMn9pQ8kMsMm/V2E+HcxNRIpNbol5Bs1apTmMqSmRpKkN8Q5I/XQCQwMZNy4cSxbtozPPvuMW7dusXPnTsqUKWNy2LEl/PnnnwBUrlwZeNkmzs7OdOzYMc3HmuqUZeS6mzZtyuXLl9m6dSs7duxg3759LF++nOXLl9O1a1fWrFlj9rHSMmTIEDZv3szSpUtp1KgRGzZs4NGjR/Tr189gCmN6ChUqBJChoca9e/dm69atDBgwgKioKJMrfaSka/9y5crRoEGDNPe1t7c3+H+5cuWoV68ex44d49dff6V9+/b6kT1pTcvLirSe78y8ByxN16nSPXdCCCGyz5gxY/juu+9YuHAhI0eOzNQx0hv9kpvfO7rv6JYtW+Lq6prqfhUrVjQqy66pcTrh4eHAy/4cZK2+GWlLtVpNWFgYhw4dIjQ0lL1797J792527drFlClTOHDggH70Tla0bt0aDw8P1qxZw9y5c7GxsSEkJARnZ2e6detm9nEy058zRfpA4nUkASYhskB3d6Zz5876+ftZpZtnHhkZaXJ7auWgzV/TrVs3goOD+e233zhy5AgajYaBAwdmyxfV77//TlRUFM7OzvrhzS4uLtjb22Nra0twcLDFz/kqtVpNz5499SOJjh49SpcuXVi7di1BQUG0bNkyy+cICAigTJkyrFu3jnnz5mV6VJiuc2buMswAbdu2Ra1Ws2PHDqysrNIdMaV7TVatWjVT7d+nTx+OHTvGypUradOmjT5Ilx3T4/IDXS6KlLmshBBCZI/ixYvzwQcfMHv2bKZPn26QvyclXW6+2NhYo203b97M1jq+6saNG2mWlyhRQl+m+44eMmQIbdu2zf7KmSk5OZl169YB0KRJE315TtZXpVLRsGFD/bS7Bw8e8H//93+sWrWK8ePHW+SmoS635qRJk1i1ahX29vY8ffqUwYMH60dWmSMz/bn8SPpAIjNkipwQWfDuu+8CpJosPDNKly5NiRIluHXrFseOHTPavn79+jQfrxv++91337Fs2TJsbGwICgqyWP10nj9/zvDhwwFtx0M3GsbGxgZ/f38ePXpkkJQ7p9SvX18/1evs2bPp7q/rpCYlJaW6j0qlYtCgQcTFxfHFF1+wb98+qlSpwltvvZWhulWvXh2AiIgIsx9ToEABevfuTdGiRXnvvfdSHXKuU6dOHQoVKsSePXsydWete/fu2NrasnXrVtavX8/9+/epUaMGVatWzfCx8juNRsOlS5dwcnKyyJ1TIYQQ6RszZgwFCxbk22+/5f79+yb30d2Mu3TpktE2S06TN0d4eLjJeqxatQqAt99+W1+WHf1GS5gyZQqRkZGULFmSTp066ctzs77FihVj0qRJgOX6c6DNrWltbc2SJUsyfcOwSpUq2NjYZKg/l99ER0dz584dvL29MzRaXwgJMAmRBfXr1+edd95hz549fPLJJ0Z30jQaDbt27TJalSs9uiDRiBEjDOaenzt3jvnz56dbp+rVq7Nx40YiIyNp3bq1RVbfSOngwYO8/fbbnD17lipVqjBhwgSD7ePHj8fKyorAwECT137nzh0WLlyYpTpERkYSHBzM8+fPDcpfvHjBnj17APPyFejuLF68eDHN/fr374+dnR1z585FUZRM5bTSrRRy/PjxDD1u4cKFREVFsWXLlnT3tbe3Z+TIkTx58oROnTqZvLN65syZVO8EFi1alJYtWxIfH8/QoUOBl7mZTDl48CAVK1akVatWZl5N/nHhwgViYmJo0KCBybxsQgghLM/V1ZUPP/yQ58+fs3z5cpP76HICzpo1y6Af8PvvvzN37twcqaeORqNh2LBhBvU4deoUCxcuxMrKSt+nA+2I94oVKxIcHMy0adOMVqVLSEhg48aNZgVULOHevXt89NFHTJgwAWtra3788UeDlVtzqr6LFy82WOFVZ/v27YBl+3MlS5akdevWnDx5kkOHDlG9enWTi+6kxdHRkZo1a3L79u1sW2Qmt504cQJFUQxWuRPCHDJFTrz20hq9U6pUKb788sssHX/lypUEBAQwd+5cfvrpJ2rUqEGxYsW4ffs2Fy9e5MGDB8yZM0c/5Ncco0aNIjQ0lEOHDuHj44O/vz+xsbGEhYUxaNAgo6XbX/X+++/z4YcfAllL7h0REaFvv6SkJB4/fsyff/6pX6WuRYsWBAcHGyU59PPzY968eXz88cc0atSIatWqUa5cOeLj47lx4wYXLlzAyclJH8DIDF0OpKFDh1K7dm08PDx49uwZhw8f5sGDB9StWzfdHFCgnYK2fPlyevbsSUBAgH6e+aurxrm6utK+fXvWrl2Lvb19mkGX1FSqVAlvb2+OHj1KfHx8tuVTGD9+POfPn2fVqlVUqFCBWrVqUapUKaKiorh69SrXrl2jXbt2qeYb6NOnD1u2bOHhw4dYW1vrV8IxJTY2Nt3OXH61d+9egNcyeCaEEHnZ6NGjWbRoEc+ePTO5vUePHkyfPp3Dhw9TqVIl6tSpw82bNzl58iTDhw9n5syZOVbX1q1bc+bMGXx8fPDz8+Pp06eEhYWRmJjIZ599pk8hANpR3ps2baJ58+aMHTuWefPmUa1aNdRqNTdv3iQiIoInT56wadMmfH19LVrPkSNH4uTkhKIoxMTEcO3aNc6ePUtycjLFixcnODjYaFWznKrv4sWL+eCDD6hcuTKVKlXCxsaGixcvEh4eToECBZg4cWK6x6hfvz6urq6sX78ef39/ypQpg5WVFf379zfKSfn+++/zyy+/ABlbDTil9957jxMnTrBnzx569eqVqWPkZdIHEpklASbx2kvt7hdopyxlNcDk5ubG0aNHWbx4MWvWrOHEiRMkJCTg7u5OzZo1adeuHV27ds3QMQsUKMDu3buZNGkSa9eu5ZdffsHb25vJkyfTtWtXFixYQNGiRVN9/DvvvANo5843b94809d2//59ffvZ29tTqFAhypQpQ6dOnejRowf169dP9bH/+c9/eOutt5gzZw779+9ny5YtODs74+HhwZAhQ+jSpUum6wXapVpnzpxJWFgY58+f5/jx4zg5OeHt7c2ECRMYOHBgmkE4nY4dOzJnzhyWLFlCaGiofmWOVwNMoG3XtWvX0qlTp1RXHUuLSqVi4MCBfPrpp4SGhma5DVJjZWVFSEgInTp1YunSpZw8eZKTJ0/i4uJC6dKlCQwMpHv37qk+vk2bNhQuXJgnT57QtGlTi4+Ayy9CQkJwcHDIVDBRCCFE5hUrVoyhQ4cyffp0k9t1/aRRo0axY8cOfv31V6pUqcKaNWuoXbt2jgaYihYtypEjRxgzZgw7d+4kOjqaypUr8/HHH5u8yVmxYkXCw8P55ptv2LRpEwcPHkRRFNzd3fHz86NDhw76qWmWtGHDBkDbR1Cr1bi5udGlSxdatmxJ165dU73plRP1/eqrr9i8eTPHjh1j9+7dJCQk4OHhweDBgxk1ahRly5ZN9xgODg5s27aN8ePHc/z4cfbv34+iKDRs2NAowNS4cWOsra2xs7PLdHCof//+fPXVV4SEhLyWAaZVq1bh4uJChw4dcrsqIp9RKYqi5HYlhBDmW7NmDd27d2fIkCEsWrTI5D6TJ0/m008/ZeLEifr56yLrAgIC+O2339izZw/+/v6ZOsa9e/fw9vamWbNmZk15E7nj6tWrlC1blj59+qQZpBZCCCFE/qILCgUGBmZpQZoOHTqwdetWbt26hZubm+UqmMuOHDlCgwYNGD16NNOmTcvt6oh8RnIwCZFHhYeHGy21e/bsWUaPHg2Q6mpi0dHR+il0mR32K4wdP36c33//nSpVqmQ6uATaFXI++ugjtm7dyl9//WW5CgqLmjZtGra2thKgFUIIIV4jiYmJ+pFxWUnVANqRVxqNhlmzZlmiannG1KlTKVy4sP43hxAZISOYhMijKlasSHR0NL6+vhQpUoTr169z8uRJkpOTTY5e+vHHH9m3bx/79+/n2rVrfPLJJ8yePTuXav/6GDt2LJGRkWzbto3o6Gh++eWXLC/V++TJE3x8fGjWrBmrV6+2UE2FpURGRlKuXDmGDh0q7yEhhBDiNbBlyxY2b97M8ePH+euvv+jQoQMbN27M8nH79+/P2rVruX79Oi4uLhaoae46ffo0tWrVYtq0aRJgEpkiASYh8qiFCxeyevVqLl26xOPHjylYsCDVqlVjwIABBAYGGu0fFBTE8uXLKVasGN27d2fGjBnY29vnQs1fL15eXty8eRMvLy9Gjx5tsBqMEEIIIYTI+yZNmsQXX3xBkSJFaNWqFQsWLKBw4cK5XS0hXjsSYBJCCCGEEEIIIYQQWSI5mIQQQgghhBBCCCFElkiASQghhBBCCCGEEEJkiQSYhBBCCCGEEEIIIUSWSIBJCCGEEEIIIYQQQmSJBJiEEEIIIYQQQgghRJZIgEkIIYQQQgghhBBCZIkEmIQQQgghhBBCCCFElkiASQghhBBCCCGEEEJkiQSYhBBCCCGEEEIIIUSWSIBJCCGEEEIIIYQQQmSJBJiEEEIIIYQQQgghRJZIgEkIIYQQQgghhBBCZIkEmIQQQgghhBBCCCFElkiASQghhBBCCCGEEEJkiU1uVyAv02g03LlzB2dnZ1QqVW5XRwghhBBmUhSFmJgYSpQogZWV3E/LC6RfJYQQQuRP5varJMCUhjt37uDp6Znb1RBCCCFEJt28eRMPD4/croZA+lVCCCFEfpdev0oCTGlwdnYGtI2oVqtzuTbmS0xMZNeuXQQEBGBra5vb1cnTpK3MI+1kPmkr80g7mU/aynwp2youLg5PT0/9d7nIffmlX/Vves/Jtb6e5FpfT3Ktr6f8cq3R0dFm9askwJQG3fBttVqdpztCr0pMTKRgwYKo1eo8/SLNC6StzCPtZD5pK/NIO5lP2sp8ptpKpmLlHfmlX/Vves/Jtb6e5FpfT3Ktr6f8dq3p9askKYEQQgghhBBCCCGEyBIJMAkhhBBCCCGEEEKILJEAkxBCCCGEEEIIIYTIEgkwCSGEEEIIIYQQQogskQCTEEIIIYQQQgghhMgSCTAJIYQQQgghhBBCiCyxye0K5CeJiYkkJyfndjXSlZiYiI2NDfHx8fmivrlJ2so80k7mk7Yyj7ST+aSttKytrfPF8r3C8nK6//Vves/JtRqSzxkhhMgaCTCZ4dmzZ0RFRfHixYvcropZFEWhePHi3Lx5E5VKldvVydOkrcwj7WQ+aSvzSDuZT9rqJXt7e1xcXFCr1bldlTxj//79zJgxg1OnTnH37l02bdpE+/btDfa5cOECY8aMYd++fWg0GqpUqcLatWspVaoUAC9evGDkyJGsWrWKuLg43nnnHb799ls8PDz0x3j8+DHDhg1jy5YtALRt25b58+dTuHDhbLu26OjoXOl//Zvec3KtxuRzRgghMk8CTOmoV68ejx49Qq1W4+Ligq2tbZ7/AtZoNMTGxuLk5ISVlcyCTIu0lXmkncwnbWUeaSfzSVtpfxgmJiby9OlTbt++DSA//v7n2bNnVK9enX79+tGpUyej7VeuXKFhw4YMGDCAL774gkKFCnHhwgUcHBz0+3z88ceEhoayevVqihYtyogRI2jdujWnTp3C2toagJ49e3Lr1i127NgBwODBg+nTpw+hoaHZcl3R0dHcvn0bJyenHO9//Zvec3KtL8nnjBBCZJ0EmNLRuXNnnJyc8PDwyPOBJR2NRkNCQgIODg6vfWchq6StzCPtZD5pK/NIO5lP2kqrQIECODs7c+vWLaKiouSH3/+0bNmSli1bprr9008/pVWrVkyfPl1fVqZMGf2/nz59yg8//MDPP//Mu+++C8CKFSvw9PTk999/p3nz5ly4cIEdO3Zw9OhR6tWrB8CSJUt46623uHjxIhUqVLD4dUVFReVa/+vf9J6TazUknzNCCJE1EmBKQ1JSEhUqVKBQoUL5JrgkhBBCvK5UKhWFChXi9u3bJCYmSq6UdGg0GrZt28bo0aNp3rw5p0+fxtvbm3Hjxumn0Z06dYrExEQCAgL0jytRogRVq1bl8OHDNG/enCNHjlCoUCF9cAmgfv36FCpUiMOHD6caYHrx4oXB9Lbo6GhAmwsnMTEx1XonJSURHx9P0aJFURQFRVGy1A4ZpTufoihoNJocPXdOk2s1zdnZmTt37hAXF4eNTf77uaR7f6X1PntdyLW+nuRa8x5z65f/PjFzkEajwcbGRjqwQgghRB6h+05OTk6W7+d0/PPPP8TGxjJ16lS+/vprpk2bxo4dO+jYsSN79uyhcePG3LsJXx2BAAAgAElEQVR3Dzs7O4oUKWLwWDc3N+7duwfAvXv3cHV1NTq+q6urfh9TpkyZwhdffGFUvmvXLgoWLJjq42xsbChevDgvXrzI8eBSSjExMbl27pwm12ooISGBuLg4wsLCSEpKyoFaZY/ffvstt6uQY+RaX09yrXnH8+fPzdpPAkzpkJFLQgghRN4h38vm043SaNeuHZ988gkANWrU4PDhwyxevJjGjRun+lhFUQza2lS7v7rPq8aNG8fw4cP1/4+OjsbT05OAgIA0px7Fx8dz8+ZNnJycDHJF5RRFUYiJicHZ2fm1f73JtZoWHx9PgQIF8PPzy5XXYFYlJiby22+/0axZs9c+EC/X+nqSa817dKOQ0yMBJiGEEEKI15CLiws2NjZUrlzZoLxSpUocPHgQgOLFi5OQkMDjx48NRjH9888/NGjQQL/P/fv3jY7/4MED3NzcUj2/vb099vb2RuW2trZpdqKTk5NRqVRYWVnlSl4gXWBOV4fXmVyraVZWVqhUqnRfq3ldfq9/Rsi1vp7kWvMOc+v2en+TCCGEEEL8S9nZ2VGnTh0uXrxoUH7p0iVKly4NwJtvvomtra3B0Py7d+9y7tw5fYDprbfe4unTpxw/fly/z7Fjx3j69Kl+HyGEEEIICTCJDFGpVKhUKooUKcKTJ09M7jNp0iRUKhVTp07N4dq9ni5cuMCwYcOoWrUqhQoVwt7enpIlS9K2bVt++uknEhISDPZXqVR4eXnlTmWzwN/fH5VKxfXr1/P0effu3at/H+j+6PKFtGvXjj179mRvhfMYLy8vi0yr0LVrUFBQ1iuVzXTXnPKPWq2mTp06zJw50+g9KUR2io2NJTw8nPDwcACuXbtGeHg4kZGRAIwaNYo1a9awZMkSLl++zIIFCwgNDeXDDz8EoFChQgwYMIARI0awe/duTp8+Te/evfH19dWvKlepUiVatGjBoEGDOHr0KEePHmXQoEG0bt06W1aQE6ZJH0wIIUReJwEmkSlPnjxhzpw5uV0Nk3IrUJEdJk6ciK+vL/PnzycmJoYmTZrQsWNHvL292bFjB4GBgUZTH0TOcHNzIzAwkMDAQDp37kzhwoXZsmULzZo144cffsjSsa9fv45KpcLf398ylc3n9cirOnXqRGBgIH379qVmzZr8+eefjBo1imbNmkmQSeSYkydPUrNmTWrWrAnA8OHDqVmzJp9//jkAHTp0YPHixUyfPh1fX1+WLl3Khg0baNiwof4Yc+bMoX379nTt2pW3336bggULEhoairW1tX6flStX4uvrS0BAAAEBAVSrVo2ff/45Zy9WANIHE0IIkXdJDiaRYVZWVtjY2DB37lw+/vhjo5VnhGV89tln/Pe//8XNzY1ly5bRqlUrg+2PHz9m5syZzJgxI5dqaFk//fQTz58/p2TJkrldFbNUrFiR4OBg/f8VReHLL79k0qRJTJgwgV69elG8ePHcq2AO2b17d55fVjW7zJw502C0YHh4OP7+/uzfv5/vv/+e//znP7lXufxEUeA1Ty6cnfz9/dNdaa1///70798/1e0ODg7Mnz+f+fPnp7rPG2+8wYoVKzJdT2EZ0gcTQgiRl8kIJpFhtra2DBw4kOjoaGbPnp3b1XktnThxgsmTJ1OgQAH27NljFFwCKFKkCP/9738JCwvLhRpaXqlSpahYsWKeTm6XFpVKxYQJE/Dx8SEuLo5du3bldpVyhI+PDxUrVsztauQJNWrU0K+YtXnz5lyuTT6RmAgREfDkiTbQJIRIk/TBhBBCmBQdDcuWQZMmcPVqrlVDAkwiU8aPH4+9vT3z5s3j0aNHZj9OURSWL1+On58fhQsXpkCBAlSrVo2ZM2eaHAWRVj6h4OBgVCoVkyZNAl5O59m3bx8A3t7eBjlSdIKCglCpVOzdu5edO3fSpk0b3njjDVQqlUFOg/Pnz9OrVy/c3d2xs7OjZMmS9O3b1yhZKhjmj3n06BEffPAB7u7u2NvbU7VqVZYtW2Z2GwHMmjULRVEYNmwYlSpVSnPflNMcUkpOTmb69OmUL18ee3t7PD09GTNmDC9evDC5f2xsLF9++SW+vr4ULFgQtVpN48aNTf5QTjl16tmzZwwfPhxPT08KFChArVq1CA0N1e+7bt066tati6OjI25ubgwbNoy4uDijY6Y1rD4qKopx48ZRtWpVHB0dKVy4MDVq1ODTTz/l4cOH+v3u3r3L9OnTady4MSVLlsTOzo7ixYvTsWNHTpw4kWY7WoKVlRXVqlUD4NatWwbbbt68yfvvv0/p0qWxt7fH1dXVZL0mTZqEt7c3APv27TN4Db+an+jBgweMHDmSChUq4ODgQJEiRWjZsiX79+83qltGX6Pm1iO1HEzbtm2jf//+VKpUCbVajaOjI9WrV2fy5MmpvgbNlZiYSNGiRXFwcEg1D8nx48dRqVS8/fbb+jJFUVi9ejV+fn4UL14cBwcHPD09effdd1m4cGGW6qSjm6Z08+ZNfZkuJ0pwcDDHjx+ndevWFC1aFJVKpc+bAxl7D4I2P1ufPn3w8fHBwcGBYsWKUaNGDT7++GPu3r1rsO+xY8fo0KGD/vVXvHhx6taty7hx44iNjTVZV1NMPd8pX1v37t1j4MCBeHh46EdZ6KT6+b94MYk3bpjXwEIIi/bBatSowfz583OtD9akSRMKFy6cp/pgQgiRbyQlwfbt0KMHuLnBgAGwdy/k4ohjmSInMqVkyZIMGjSIBQsWMGvWLP773/+m+xiNRkP37t1Zt26dPiGuk5MTx44dY9SoUezZs4fQ0NBML5Pr5OREYGAgO3bs4P79+3Tq1AknJ6dU9w8JCWHp0qXUrFmTFi1acPXqVX0naPfu3bRp04a4uDhq1aqFv78/ERER/Pzzz2zatIlff/2VRo0aGR3zyZMn+tV26tatS2xsLPv372fAgAFoNBoGDhxoVjvt2LEDgJ49e2aqLQB69erF1q1bqVu3LhUqVODAgQNMnz6d27dvG01zuH//Pk2bNuX8+fOULFmSZs2a8fz5c44cOUKHDh2YPHkyH3zwgdE5EhISeOedd7hy5Qr169fXX2+HDh3YsWMHZ8+eZfTo0dSpU4eAgAAOHDjA/PnzefjwIStXrjTrOs6fP09AQAC3b9/G3d2dFi1akJyczMWLF5k8eTLNmjXT5wj65ZdfGDNmDGXLlsXX1xe1Ws3ly5fZtGkTW7duZevWrQQEBGS6Tc0RExMDYLA099mzZ2natClRUVFUrFiRjh07EhkZyaZNmwgNDSUkJIQuXboA2lEwnTp1YsOGDbi5udGiRQv9cVIGEyMiInj33Xe5ffs2Pj4+tGrViocPHxIWFsauXbv4+eefTb5+zH2NmluP1AwYMIBnz55RpUoVfH19iY6O5vjx43z66afs3r1b/xrPDFtbW7p06cJ3333Hhg0bGDBggNE+ISEhgPZ9oDNu3DimTZuGs7MzDRs2pHDhwty9e5c///yTy5cvM3To0EzXScfU86+zf/9+Bg8eTPny5QkICODOnTv6z7u03oOdOnXi888/Z+LEifpj/fHHHzRs2JD4+Hjq1q1L3bp1iYmJ4erVq8ybN4/27dvj7u4OaIN9bdu21QfcGjRowOPHj7l06RJTp07l/fffT/Oz0lwPHjygTp06JCUl6etWsGBBIJXP/wIFOHbkCKO++YY9ERGEbt+OlUyVEyJdlu6Dff755xw5coStW7fmeB+sdu3atGzZkitXrmR7HyytaaJCCJFvKAr8+Sf89BOEhMD9+y+3VawIfftC7965WT+RmgcPHijbt29XYmNjc7sqGZKcnKw8fvxYSU5OtvixAcXe3l5RFEW5ffu24uDgoDg7OytRUVH6fSZOnKgAypQpUwweO23aNAVQmjVrpvzzzz/68tjYWKVNmzYKoCxYsMDofKVLlzZZlx9//FEBlIkTJxqUN27cWAGUa9eumXxcYGCgAiiAEhISYtRWsbGxipubmwIoixYtMnjs7NmzFUDx8PBQ4uPj9eV79uzRH7NTp04Gr5nNmzcrgFKqVCmT9XnV33//rW/npKQksx6Tkq4elSpVMmiDq1evKkWKFFEA5fLlywaPadmypQIoo0ePVhISEvTlV65cUXx8fBRra2vlwIED+na6du2a/jz+/v7Ko0eP9I/RPS9ly5ZV3njjDWX//v36bbdv31ZcXV0VQLly5YpBHUw9b4mJiUrFihUVQBkxYoRB3RRFUf744w/l5s2b+v+fOXNG+fPPP43aZMeOHYqdnZ3i4+OjaDSadM+bFt1z3bhxY6Nt9+/fV9RqtQIoO3fuVBRFUTQajeLr66sAyrhx4wzOv27dOsXKykpxdnZW7t27py/Xta+pcyiKoiQlJSlVq1ZVAGXevHkGx/zjjz+UokWLKo6Ojsr9+/eN6p2R12h69VAURSldurRi6qtk06ZNRp+d0dHRSuvWrRVA+fHHHw3ee7r6BQYGpnqulPbv368AStOmTY22JScnK+7u7oqNjY3y4MEDRVEUJS4uTrG3t1e8vLyUhw8fGuyfmJio7Nu3z6zzKsrLazb1munevbsCKL169dKX6T4TAWXatGkmj2nOe/D06dP6ct3n2IYNG4yOdf78eeXOnTv6/zdu3FhRqVTKyZMnjfY9duyYEh0dbVTXH3/8Mc1rTynla6tDhw5KXFyc0eOMPv81GkW5cEGJ3b9fadO0qcnP/9TExcUp58+fN3mehIQEZfPmzUpCQoLy9OlTBVCePn1q1nFF9jP3OUnrOc4J2dmPyors6INFR0crLVq0yJU+2OrVq422Z2cfLCPPa26/BrMq5Wfh606u9fUk12rC7duKMmOGovj6Koo2zKT94+KiKMOGKcqJE9r+VTYx9ztcpshllqLAs2f564+F81uUKFGCwYMHExMTw8yZM9PcNykpiRkzZuDs7ExISAjFihXTb3N0dGTJkiXY29vz3XffWbSOaXnvvffo1q2bUfnatWu5f/8+jRo1YsiQIQbbPvnkE958801u3brFpk2bjB6rVqv5/vvvcXR01Je1a9cOX19fIiMjzVpVRTflq0iRIgYr+GTU/PnzDYa2e3t70/t/0ewDBw7oy8PDw9m+fTsNGjRg6tSpBjmQypQpw6xZs0hOTja5WpC1tTVLliwxSDLat29fihUrxuXLl/nPf/5jcJexRIkS+hElpqZxvWrjxo1ERERQrVo1pk+fbpSfqWbNmnh4eOj/7+vrq5+illLz5s3p0qULV65c4dy5c+meN6Pi4+M5duwYbdu2JTo6mnLlytGkSRNAO3T/7NmzeHt789VXXxlMFejcuTPt27cnJiaGH3/80ezzhYaGcu7cOXr06MGwYcMMjlmzZk0mTJjAs2fPTCbktcRr1Bzt27c3OAeAs7OzfuWjLVu2ZOn4DRs2pHTp0uzdu5c7d+4YbAsLC+Pu3bs0b94cFxcXAKKjo3nx4gXVq1fnjTfeMNjfxsYGPz+/TNdFURRu3LjB2LFjWb16NSqVivfff99ov6pVqzJq1Cij8vTegzNmzCA5OdlgdcJ//vkHgKZNmxodr1KlSvrRS7p9CxUqxJtvvmm0b926dXF2ds7YBafC3t6e+fPn4+DgYFBu8vP/8WOIjdV+/gcH5/jnv8jHpP8FWLYPNm/ePOmDCSFEXvT8OaxaBS1agKcnjBoFZ8+CnR107gxbtsCdOzBvHtSunScWTZEAU2Y9fw5OTnnyj5VaTWEPD6zUasNtz59bvBnGjh2Lg4MDCxYsICoqKtX9Tp8+TVRUFA0bNtT/4EvJzc2NcuXKce7cOZP5ebJD27ZtTZbrgi8pp9akZCpIo1O7dm2jH68A5cuXBzDKi2KKYoGOqK2trcml5U3V47fffgO0nTBTuXR006FOnz5ttM3Ly4uyZcsalFlZWVG6dGkAmjVrZvQYHx8fozqk5vfffwdg0KBBZg/bf/HiBb/88guffvopgwcPJigoiKCgIM6ePQvA33//bdZx0pMyL1GBAgWoX78+x44do2zZsqxYsUIfHNS9Trp162YyYNinTx+D/cyhe87at29vcrvuOTOVd8oSr1Fz/f3338ybN4+PPvqI/v37ExQUxFdffQXA5cuXs3RslUpFjx490Gg0rF692mCbqelxrq6ueHh4sG3bNmbMmGEUlMoMXY4RKysrvLy8mDZtGnZ2dixcuNDk9I02bdqYfI+Z+x48efKkvkwXLOrbty/Hjx9Ho9GkWs8333yTJ0+eMGDAgGwJsOrUqlXL5CqQRp//ycmgy1FWvDhunp45/vkv8rEc6H+l2o/K7J9s6H+B5fpgrq6u0gcTQoi8QqOB/fth4EAoXhx69oSdO7Xlb70FixfDvXuwbh20aQN5bIEkycEkssTd3Z0hQ4Ywd+5cZsyYwbRp00zup7trtH37dpM/oFJ69OhRjixVX6pUKZPluh+eqSW21JWb+oGacjRNSro8BOYkN9Z1/h4/fkxycnKmRjG5u7ubfJypeuiemzFjxjBmzJhUj5kymbZOas+T7u6hqe26bea0hS5Rsi4olZ6zZ8/Stm3bNO9S6nLkZFXKvEQ2NjYULVqU+vXr06pVK4MOelZeT6nRXV+3bt1M3gHWMfWDwxKv0fQoisLIkSOZM2dOqgFTSzwPvXr1YurUqaxcuVK/etuLFy/YuHEjjo6OtGvXzmD/5cuX0717d0aPHs3o0aPx9vbGz8+Pnj17Zio3ly7HiEqlwsnJiYoVK9KhQwdKlChhcv/UPnPMfQ+mfD5HjRrFwYMHCQ0NJTQ0lEKFClGvXj1at25NUFCQwaikyZMnc/bsWZYtW8ayZctwcXGhQYMGtG/fnp49e5rMF5UZ6V1fXvr8F+J1IH0wQznx/SaEENnmyhVYvVqbW+natZflXl7avEp9+sArN/bzIgkwZVbBgpBi5Z28RKPREB0djVqtNhz18b9kq5Y2ZswYvvvuOxYuXMjIkSNN7pOcnAxAuXLlaNCgQZrHM/fHTlp37M3x6jSOV6XXCTO1Pb3HmKNMmTIUKlSIp0+f8tdff5mc8pWejNRD99w0atSIMmXKmNxHURTUanWGz2OJ9jD3OIqi0LVrV65fv86QIUMYMmQIZcqU0QcAxo8fz5QpUywyQgygYsWKJlfa0mg0Ju8AW7KtdM9Zy5YtcXV1TbOOWTlPZq1Zs4bZs2fj4eHB3LlzeeuttyhWrBi2trYkJCRgb29vkeehatWqVKtWjT/++IOIiAgqVqzItm3bePr0Kb1799YnmNZp2rQply9fZuvWrezYsYN9+/axfPlyli9fTteuXVmzZk2Gzj9z5sxUfwSZktpnTnrvQUVRSExMNJj2plarCQsL49ChQ4SGhrJ37152797Nrl27mDJlCgcOHNAHZj09PTl58iRhYWFs3bqVffv2ERoaypYtW5g+fTqHDx82mOaalrQ+d9O7vnLlytGgXj148kQ7ZcjZGV75vLdUsEu8xnKg/5VqPyqzsqn/BVnvg+k+X2xtbVGpVP/6PpgQQuSo6GhUq1fz9rx52J4//7Lc2Rm6dNEGlho1Akt8F+UQCTBllkoFr+QXyTM0Gu0UBEfHHHkxFi9enA8++IDZs2czffp0o7wr8PKuUtWqVVNd/toUW1tbgyW0U0q5DLgl6UYfXEsZOU7hxv+W0075Y8+SrKysaN68OWvXriUkJCRTAaaM0D03nTt3ZtiwYSb30XW2c5qnpydg3nSqiIgIIiIiqF27NosWLTLafvXqVYvXzxzZ8XrSPWdDhgxJdZpBbtLlxli0aBGtW7c22Gbp56FXr16cOXOGkJAQvvzyS5PT41JSq9X07NlTv8Le0aNH6dKlC2vXriUoKIiWLVtatH7mSO89mPLHbkoqlYqGDRvqp9A9ePCA//u//2PVqlWMHz/eIGBmY2NDQECAfqRWZGQk/fr1IywsjKlTp+pHPtjZ2QGY/NxNTk7m3r17mb6+qlWrEjxpkjb/krMzlC+fJ3IFiHwmJ/pfOdyPyoqs9sHSCqb9G/tgQgiR7ZKTYc8eCA6GjRuxiYvDBVBUKlTNmkFgILRvn603J7JT3v7WFPnGmDFjKFiwIN9++y33Uy6V+D916tShUKFC7NmzJ0OBCnd3dx4+fMijR4+Mtu3atcvkY3Q/kJKSksw+T0q63CkrV640uV1XbirHiqUMHz4clUrFN998w4ULF9Lc9/Dhw1k617vvvgvA5s2bs3Sc7KCr29KlS9Md8fL48WPA9BD5x48f6/Pc5DTd62TNmjX6u8gp6RJxp3w9pfcazqnnLLPvJd1zoQsQprR27dqsVyyFnj17olKpCAkJITo6mm3btuHq6qpvo/TUr19fnwdLl6crp1nq+SxWrBiTJk0C0r+WUqVK6afjpdxX96Pt0qVLRo8JCwsjMTExw/XSf/6HhRGt+1Hq6SnBJSEsRPpgQgiRD1y6BJ9+qp3y1qwZrFwJcXEoFSpwvk8fkq5c0eZa6tkz3waXQAJMwkJcXV358MMPef78OcuXLzfabm9vz8iRI3ny5AmdOnXS34FK6cyZM0ZTVBo3bgygTwwM2uHcU6ZMSTWworv7dfHixUxdS9euXXFzc+PAgQN8//33Btu++eYbTpw4gYeHBx06dMjU8c1Rr149Ro8eTVxcHE2bNuXXX3812ufp06dMnDhRv1pZZtWvX5933nmHPXv28MknnxjdrdRoNOzatYsjR45k6TyZ0bFjR8qXL8+ff/7J2LFjjTqs4eHh3PpfsuCyZctiZWVFWFiYQSLv+Ph4hgwZYrKDnBP8/f3x9fXl2rVrfP755waBss2bN7Nx40acnJwICgrSl7u4uGBra8uVK1dMBqU6d+6sn6I3bdo0ox/9CQkJbNy4McsBk/TqkRpdQtXvv//e4HoPHDjAjBkzslSnV3l4eODn58eVK1cYM2YM8fHxdOvWDRsbwwG6kZGRBAcH8/yVZLsvXrxgz549QOo5QbKbOe/BsLAwDh48qC9bvHixyTv827dvBwyvZc6cOSZ/dO7YscNoX91n7ooVKwxymV29epWPPvooE1f3v8//ESN48vQpncaM4UZCglHHydTnvxDCPNIHE0KIPOrpU1iyBN5+GypUgMmTtQudFC4MQ4bA0aMknTnD3506QSp55PIbmSInLGb06NEsWrSIZ8+emdw+fvx4zp8/z6pVq6hQoQK1atWiVKlSREVFcfXqVa5du0a7du0MkhaPGTOG9evXM3fuXPbu3YuPjw9nz57l5s2bfPjhh3z77bdG52nbti3Lly/XJ+4tVKgQoB0FYw5HR0dWrlxJmzZteP/99/n+++8pX748ERERnD59GkdHR0JCQrI9V8iUKVOwsbFhypQpvPfee5QuXZqaNWtSoEABbt26xbFjx0hISKBcuXJZPtfKlSsJCAhg7ty5/PTTT9SoUYNixYpx+/ZtLl68yIMHD5g8eTLNmze3wJWZz8bGhg0bNtCsWTOmT5/OihUraNCgAUlJSVy8eJELFy6wZ88ePDw8cHV1ZcCAASxZsoTq1avTtGlTChQowIEDB0hOTiYoKChD0zMtRaVSsXLlSpo0acLkyZPZtGkTNWrUIDIykkOHDmFjY8OyZcsoXry4/jF2dna0aNGC0NBQqlevTq1atbCzs+Ptt9+mX79+2NjYsGnTJpo3b87YsWOZN28e1apVQ61Wc/PmTSIiInjy5AmbNm3C19c303VPrx6pGTZsGMHBwXz77bfs3buXatWqcfv2bQ4ePMiIESPSXVI7o3r16sW+fftYvHix/v+vevToEf369WPo0KHUrl0bDw8Pnj17xuHDh3nw4AF169alY8eOFq1XRpjzHpw9ezZ+fn6ANsD0wQcfULlyZSpVqoSNjQ0XL14kPDycAgUKMHHiRP2xv/jiC0aOHEn16tUpV64ciqJw5swZLl68iIuLC6NGjdLvW6ZMGfr27auvg5+fH8+ePePo0aO89957xMfHm/xxmp7xAwdy/tAhVu3cSYWmTc36/BdCmC8rfbDLly9z48YN6YMJIYQlaDQQFqafAocuN6uVFbRoAUFB2tXfdLnoMjE6PC+TEUzCYooVK8bQoUNT3W5lZUVISAjr16+nSZMm/P3332zcuJHz58/j5ubGpEmTjFZAqVKlCmFhYfj7+3Pp0iV+++03fHx8OHLkCHXq1DF5no4dOzJnzhw8PDwIDQ3lhx9+4IcffsjQtbzzzjucOHGCHj16cOvWLdavX8+9e/fo3bs3p06dypGh2SqViq+//pozZ84wdOhQChYsyO7du1m/fj1XrlyhefPmrFixgr/++ivL53Jzc+Po0aPMnj2bcuXKceLECTZv3sytW7eoWbMmCxYsoGvXrha4qoyrWrUq4eHhjBgxAkdHR0JDQ9m3bx/29vZ89tlnBjmqFi1axKxZs/D29mb37t0cOHCAd999l5MnT1K6dOlcqT+Ar68vf/zxB4MGDSI2Npb169dz8eJF2rdvz6FDh+jSpYvRY5YuXUqfPn14+PAhISEh/PDDD+zbt0+/vWLFioSHhzNp0iRcXV05ePAg27Zt48GDB/j5+fHjjz+aPU0sLenVw5Ty5ctz4sQJ2rRpQ1RUFFu2bCE2NpbvvvvO4iOYALp06aL/seHj40O9evWM9vHx8WHmzJn4+/sTGRnJxo0bOXToEF5eXnzzzTfs3btXP7UjN6T1HqxRowYzZswwCJx99dVX9O/fH5VKxe7duwkNDeX58+cMHjyYM2fO8NZbb+n3nT9/Pt27d+f58+ds376dHTt2YG1tzciRIzlz5ozRKo1Llixh7NixqNVqdu7cyY0bNxg/fjyrVq3K3MUlJmJ17x4hX3/N+h9+MPvzXwhhvqz0wVxdXZk4caL0wYQQIiuuXIEJE4ymwFGpEkyfrh25tG2bNnl3Ogsd5GcqxVJLKr2GoqKiOHnyJI0aNTKZNDGvsvjqJ68xaSvzSDuZT9rKPNJO5sv3bXX9OkRFaafFVaqU5dxL8fHxXLt2DW9vb6fTsdcAACAASURBVKOVqBITE/n1119p1aoVcXFx+hU5Ta2CKXJedHS0Wc9JWs9xTsj377kMkGs1Lbdfg1mV8rPQ1tY2t6uTreRaX0/55lpjY2HdOu1opf37X5YXLgw9emhHK9Wpk2bfJ79cq7nf4TJFTgghhBDZ49kzbXAJoFQpSewthBBCiPxNUeDgQVi2TBtc0k1NtrKCgABtUKldu9d6lFJaJMAkhBBCCMtTFIiM1P77jTfAySl36yOEEEIIkVm3bsFPP8GPP8Llyy/Ly5WDfv2gb18oWTL36pdHSIBJCCGEEJb38KH2rp6V1WuzMooQQggh/kVevIDQUO1opZ07tQm8ARwdoVs3bWDp7bdlhHYKEmASQgghhGUlJWnv9AGUKAG5mEBdCCGEECJDzpzRBpVWrNDeMNNp1EgbVOrSRUZmp0ICTEIIIYSwrLt3tUEmBwdwdc3t2gghhBBCpO3JE1i1Cn74AU6delleooQ2r1JQkHY6nEiTBJiEEEIIYTlxcXD/vvbfnp7aKXJCCCGEEHmNRgP79mmDShs2QHy8ttzWVpuou39/beJua+vcrWc+IgEmIYQQQlhGysTehQtDoUK5Wx8hhBBCiFfdugXBwdqE3VevviyvWhUGDoRevcDFJdeql59JgCkdiqLkdhWEEEKI/OHxY4iJ0Sa79PTMllPI97IQQgghMiwhAbZu1Y5W2rHjZcJutRp69IABA6B2bUnYnUUSYEqDSqVCo9GQnJyc21URQggh8rbk5JeJvd3dwd4+m06j/U62kql3QgghhEhPRIQ2qPTTT/DPPy/L/fy0QaXOnaFgwdyr32tGAkxpsLGx4dGjR8TFxaFWq3O7OkIIIUTedfeu9u6gvT0UL55tp4mLi8Pa2hpbW9tsO4cQQggh8rHnz2HdOli6FA4efFlevLg2WXf//pKwO5tIgCkNKpWKEydOUK9ePVxcXLCW5F5CCCGEsfj4HEnsnZyczNOnTylYsCAqGcIuhBBCiJT++AOWLIGQEIiO1pZZWcF772lzK7VsqU3gLbKNBJjSsWbNGj744ANu3LjBG2+8gb29fZ7v1Go0GhISEoiPj5cpBOmQtjKPtJP5pK3MI+1kvjzfVooC169r/3Zy0o5g0q3CYrFTKLx48YJHjx6h0WhwdXW16PGFEEIIkU89fQorV2pHK50+/bLc21sbVAoMhJIlc69+/zISYErHP//8g4uLC3Fxcdy9eze3q2MWRVGIi4ujQIECeT4Yltukrcwj7WQ+aSvzSDuZL8+31fPn8OCB9t92dtpgUzZxdHSkePHi2NnZZds5hBBCCJHHKQocOqQNKq1dC3Fx2nI7O+jUSRtY8vfPthHVInUSYDKDvb09xYoVIykpiaSkpNyuTroSExPZv38/fn5+kqMiHdJW5pF2Mp+0lXmkncyXp9sqLk477PzOHRgyRNuZyyY2NjbY2Ei3RQghhPjXevhQm6x7yRK4cOFleZUq2qBSnz5QtGju1U9IgCkj8kvn1tramqSkJBwcHPLej5E8RtrKPNJO5pO2Mo+0k/nydFt9/TUcOQKlSsFHH4GDQ27XSIjX1qsjGFUqFWq1Gl9fXwIDAxkwYEDeHOUohBBZoSiwd682qLRhg3ZBEdCu/Na9uzawVL8+yOdfnpD3oyVCCCGEyHsuXYIZM7T/njsXHB1ztz5C/EsEBgYC2qT3V65c4dChQxw8eJDdu3ezatWqbD333r17adKkCYGBgQQHB2fruYQQ/252T55gNWsWLFsGf//9ckOtWjBoEPTsCbLSe54jASYhhBBCZIyiaEcsJSRAixbQvn1u10iIf41XAzu//fYbrVq1YvXq1fTq1YvWrVvnTsWEECKrNBrYswfrxYtpvnkzVrr0NE5O0KuXNrD05pu5W0eRJsl6JYQQQoiM2bQJdu3SJtP85hsZli5ELmrWrBl9+vQBYPPmzblcGyGEyIR//oFp06B8eXj3XazWr8cqKQlNnTraqXF378LixRJcygckwCSEEEII8z17Bh9/rP336NFQrlzu1kcIQc2aNQG4efOmviwoKAiVSsXevXvZuXMnTZo0oXDhwqhUKp48eaLfLyIigt69e+Pu7o6dnR0lS5akb9++XLx40eAcQUFBNGnSBIDly5ejUqn0fyZNmmSw75EjR2jXrh3FihXD3t4eLy8vPvzwQ+7cuWNU9+DgYP0xIiMj6dmzJ8WKFaNAgQLUrl2b0NBQSzWTECIv0Whg927o2hU8PGDsWLhyBZydSR4yhD2zZ5N86JA2x5KTU27XVphJpsgJIYQQwnz//S/cvAmlS8O4cbldGyEEEBMTA2hXPn5VSEgIS5cupXbt2rRs2ZIrV67ok4Hv3r2bdu3aERcXR61atfD39yciIoKff/6ZTZs28euvv9KoUSMAGjZsyL1799i5cyc+Pj40bNhQf44aNWro/71ixQqCgoLQaDQ0aNAAT09P/vjjDxYtWsTGjRvZu3cvFStWNKrn9evXqVOnDg4ODjRs2JD79+9z5MgR2rdvz/bt2wkICLBomwkhcsmDBxAcDN9/D5cvvyyvWxfefx+6dUNjZ0f0r7/mWhVF5kmASQghhBDmiYiAmTO1/547V7uCixA5SFHg+fPsPYdGox2oZ20NVhYY61+wYPbOIlUUha1btwJQrVo1o+1Llixh9erVdOvWzaD82bNn9OnTh7i4OBYuXMiHH36o3zZnzhyGDx9Oz549uXz5Mvb29gwcOJCyZcuyc+dOGjZsaDLJ982bNxk8eDAqlYotW7bo80FpNBpGjBjB3Llz6du3L8ePHzd67PLly/noo4+YPXu2ftXmefPm8fHHH/P1119LgEmI/ExRYP9+7TS3jRtfrgTn7Ay9e8PgwZAiUE1iYu7UU2SZBJiEEEIIkT5Fgf/8R9vpe+89aNcut2sk/oWeP8+JmRJWQGGLHS02NnsWWUxOTubq1atMnjyZI0eOYG9vT79+/Yz2e++994yCSwBr167l/v37vPXWWwwZMsRg2yeffMLKlSs5deoUmzZtonv37mbVaenSpcTFxdGnTx+DZONWVlZMnTqVtWvXcuLECY4ePUr9+vUNHlumTBlmzZqlDy4BDB06lC+++IKjR4+SkJCAnZ2dWfUQQuQRjx/DTz9pA0sRES/La9fWjlbq3l2mv71mJAeTEEIIIdK3Zo02V4KDgyT2FiIX6fIe2djYUL58eYKDg3F2dmbVqlX4+PgY7d+2bVuTxzlw4AAAXbp0Mbm9d+/eBvuZQ7dvr169jLbZ29vrz2XqmP7+/tja2hqU2djYUKZMGRITE3n48KHZ9RBC5CJFgWPHoF8/KFFCm7cxIkIbaR80CE6ehBMnJLfSa0pGMAkhhBAibdHRMHy49t/jxkGZMrlbH/GvVbCgdkRQdtJoNERHR6NWq7GywBw5S88kDQwMBLSjgtRqNb6+vnTs2JEiRYqY3L9UqVImy3UJt1Pb7uXlZbCfOXT76h6bkWN6eHiYfIzT/36Avnjxwux6CCFyQUwMhIRoRyuFh78sr14dhgyBnj1Brc69+okcIQEmIYQQQqRt0iTtEsE+PtqV44TIJSpV9kw3S0mjgeRk7XkskYPJ0kzlPkqLg4NDmttV6YxGTG+7pY6ZmfMIIfKAM2e0QaWff355B8DBAbp1006Dq19fRj3/i0iASQghhBCpO3tWOyUOYMECbadRCJHvlShRAoAbN26Y3K4rd3d3z9AxL168yLVr1yhfvrxFjimEyIPi42HdOli0CI4ceVleoYJ2tFLfvvDGG//P3r3H51z/fxx/XDvPzMJsM0YqOUQqZ8nIOXK2nEbSQaEcE+n31UFC5UxyyGFzSCWSMKWQM4lKcj6fYzObHa/fH++2Wcgw+1zbnvfbbTfX3p/P9blen8+u2XW9rtf79bYuPrGMA34uIyIiIg4hORleftmUc7RuDY0aWR2RiGSSJ554AoCFCxded3t4eHi6/YDUJtuJiYn/ecyU+14tPj4+9bGuPqaIZCP798OAAVC0qEkibdgALi7Qti388APs3m16Lim5lGspwSQiIiLXN2sW/PyzmSs0erTV0YhIJgoJCcHf358NGzbw6aefpts2btw4tmzZQtGiRWnZsmXqeErV0549e657zG7duuHp6cm8efP49ttvU8eTk5MZPHgwx48fp3LlytesICciDiwpCZYsMR8yPfAAfPghnD8PQUHw3ntw9Ch8/jnUqaOpcOKYCabJkyfz8MMPky9fPvLly0f16tX57rvvUrfb7XaGDh1KYGAgnp6e1K5dm99//z3dMeLi4ujVqxe+vr54eXnRrFkzjh07ltWnIiIikj2dP28+pQTTgykoyNJwRCRzeXl5MWfOHDw9PXn55ZepVKkSHTp04LHHHuO1117Dy8uLuXPn4u7unnqfe++9l4cffpitW7dSpUoVunbtyvPPP8+SJUsA0zD8008/xW638/TTT/PEE0/QoUMHypYty0cffYS/vz+zZ8+26pRF5FacPg3DhkGJEtC8OaxYYRJIjRqZhNPBg/DmmxAQYHWk4kAcMsFUtGhRPvjgA7Zu3crWrVt58sknad68eWoSaeTIkXz88cdMmDCBLVu2EBAQQP369bl06VLqMXr37s2iRYuYP38+69atIzo6mqZNm5KUlGTVaYmIiGQfgwaZJFO5cvDaa1ZHIyJ3Qd26dfn+++9p164dx44d44svvuDUqVN06tSJbdu2XXcq25dffkmLFi04cOAAs2fPZvr06Wzfvj11e6dOnVizZg1NmzZl9+7dfPHFF8TGxvLyyy+zbds2SpcunZWnKCK3wm6HtWuhfXvzwdKQIaZCqWBB86HTvn3w3Xfw9NPg7Gx1tOKAHLLJ99NPP53u+2HDhjF58mQ2btxI2bJlGTNmDG+++SatWrUCYNasWfj7+zN37lxeeuklIiMjmT59OnPmzKFevXoAhIWFERQUxKpVq2jYsGGWn5OIiEi2sWEDTJ1qbk+eDK6u1sYjItjt9lvaf+bMmRlaca5MmTKEh4fjlMEl8x544AEWLVr0n/vUqFEjtarpZp599lmeffbZG27/8ccfM3QcEbkDly5BWBhMmgS//ZY2Xr266cXYtq0W+ZAMccgKpqslJSUxf/58Ll++TPXq1Tl48CCnTp2iQYMGqfu4u7sTHBzM+vXrAdi2bRsJCQnp9gkMDKRcuXKp+4iIiMh1JCaaF5MAXbtCzZrWxiMiIiJ3x+7d0LMnFCkCr7xikkuenvD887B9O6xfD6GhSi5JhjlkBRPArl27qF69OleuXCFv3rwsWrSIsmXLpiaI/P390+3v7++fuvTpqVOncHNzI3/+/Nfsc+rUqRs+ZlxcHHFxcanfR0VFAZCQkEBCQkKmnFdWSIk1O8VsFV2rjNF1yjhdq4zRdcq4rL5WTuPG4fzrr9gLFCBx2DDIRj+jq6+VnlsiIiLXkZgIixfDxImwenXaeMmSJsn07LNwzz2WhSfZm8MmmEqVKsWOHTu4ePEiX375JV26dOGnn35K3W77V4d6u91+zdi/3Wyf4cOH8/bbb18zvnLlSvLkyXOLZ2C9iIgIq0PINnStMkbXKeN0rTJG1ynjsuJaeZw7R90hQwD4tV07Dm/efNcf826IiIggJibG6jBEREQcx+nTMG0afPIJpCx+5eRk+in16AF165rvRe6AwyaY3NzceOCBBwCoVKkSW7ZsYezYsQwcOBAwVUqFCxdO3f/MmTOpVU0BAQHEx8dz4cKFdFVMZ86coUaNGjd8zEGDBtG3b9/U76OioggKCqJBgwbky5cvU8/vbkpISCAiIoL69evjqr4Z/0nXKmN0nTJO1ypjdJ0yLiuvlfMzz+B05QrJ1arx0Mcf81A2e6F59bWKjY21OhwRERFr2e2wcaOpVvr887Sq5EKFzDS4l16C4sWtjVFyFIdNMP2b3W4nLi6OEiVKEBAQQEREBI8++igA8fHx/PTTT4wYMQKAihUr4urqSkREBCEhIQCcPHmS3377jZEjR97wMdzd3dMtxZrC1dU1W74Byq5xW0HXKmN0nTJO1ypjdJ0y7q5fq2XLYNEicHbGacoUnK7z9zC7cHV1JTEx0eowRERErBEbCwsWwPjxppdSiqpVTc+ltm0hG/+dF8flkAmmwYMH07hxY4KCgrh06RLz58/nxx9/ZPny5dhsNnr37s37779PyZIlKVmyJO+//z558uShQ4cOAPj4+NCtWzf69etHwYIFKVCgAP3796d8+fKpq8qJiIjIP2JizAtOgD594OGHrY1HREREbt3hw2b112nT4Px5M+buDu3bm2lwlSpZG5/keA6ZYDp9+jShoaGcPHkSHx8fHn74YZYvX079+vUBeP3114mNjeWVV17hwoULVK1alZUrV+Lt7Z16jNGjR+Pi4kJISAixsbHUrVuXmTNn4uzsbNVpiYiIOKZhw+DgQQgKgv/9z+poREREJKPsdvjhB5gwAZYsgeRkM16smGna3a0b+PpaG6PkGg7ZXGH69OkcOnSIuLg4zpw5w6pVq1KTS2AafA8dOpSTJ09y5coVfvrpJ8qVK5fuGB4eHowfP57z588TExPDN998Q1BQUFafioiIiGPbvRtGjTK3x4+HvHmtjUduyZo1a3j66acJDAzEZrPx9ddf33Dfl156CZvNxpgxY9KNx8XF0atXL3x9ffHy8qJZs2YcS2kA+48LFy4QGhqKj48PPj4+hIaGcvHixbtyTiIikgHR0TBpEjz0ENSrB19/bZJLdeua2wcOwMCBSi5JlnLIBJOIiIhkAbsdunc3TT+ffhqaN7c6IrlFly9fpkKFCkyYMOE/9/v666/ZtGkTgYGB12zr3bs3ixYtYv78+axbt47o6GiaNm1KUlJS6j4dOnRgx44dLF++nOXLl7Njxw5CQ0Mz/XxEROQm9u0z09mLFDHT3nbvBi8vU630xx+wapX5e66ZO2IBh5wiJyIiIllg5kxYswby5DHVS5LtNG7cmMaNG//nPsePH6dnz56sWLGCJk2apNsWGRnJ9OnTmTNnTmqfyrCwMIKCgli1ahUNGzZk9+7dLF++nI0bN1K1alUApk6dSvXq1dmzZw+lSpW6OycnIiJGcjK2lSup+t57uGzbZj4gAihZ0vRQ7NIFfHysjVEEVTCJiIjkTmfPQv/+5vbbb2uZ4hwqOTmZ0NBQBgwYwEMPPXTN9m3btpGQkECDBg1SxwIDAylXrhzr168HYMOGDfj4+KQmlwCqVauGj49P6j4iInIXXLoEEydC2bK4NG1KwNat2Ox2aNwYvvsO/vwTXn1VySVxGKpgEhERyY0GDIC//zYrxr32mtXRyF0yYsQIXFxcePXVV6+7/dSpU7i5uZE/f/504/7+/pw6dSp1Hz8/v2vu6+fnl7rP9cTFxREXF5f6fVRUFAAJCQkkJCTc8H4JCQnY7XaSk5NJTmlWm4Xs/1QGpMSQk+lcry85ORm73U5CQkK2XCAo5ffrv37Pcooce6779+P0ySc4ffYZtn/+77R7e3MgOJjAYcNwKVPG7JeUZL5ymBz7c72O7HKuGY1PCSYREZHcZvVqmDULbDaYMgVcXa2OSO6Cbdu2MXbsWLZv347NZrul+9rt9nT3ud79/73Pvw0fPpy33377mvGVK1eSJ0+eG97PxcWFgIAAoqOjiY+Pv6W4M9OlS5cse+yspnNNLz4+ntjYWNasWUNiYmIWRHV3REREWB1ClskR52q347tzJ/ctXZpWqQREBwZyoEkTjj75JImenvx28KBZ+TUXyBE/1wxy9HONiYnJ0H5KMImIiOQmcXGmsTeYf6tVszYeuWvWrl3LmTNnKFasWOpYUlIS/fr1Y8yYMRw6dIiAgADi4+O5cOFCuiqmM2fOUKNGDQACAgI4ffr0Ncc/e/Ys/v7+N3z8QYMG0bdv39Tvo6KiCAoKokGDBuTLl++G97ty5QpHjx4lb968eHh43NI5Zwa73c6lS5fw9va+5cTc3ZSRSprOnTvz2WefpX5/3333cfjw4XQN26/mqOd6N9zKuV65cgVPT09q1aplyXPwTiUkJBAREUH9+vVxzeEfIOSIc42JwSk8HKcJE7Dt3p06nNywIck9e+Jevz5lnJx4ICecawbliJ9rBmWXc02pQr4ZJZhERERykw8+gL/+goAAeP99q6ORuyg0NDS1cXeKhg0bEhoaSteuXQGoWLEirq6uREREEBISAsDJkyf57bffGDlyJADVq1cnMjKSzZs3U6VKFQA2bdpEZGRkahLqetzd3XF3d79m3NXV9T9fRCclJWGz2XBycsLJKevbhaZMn0qJwdF06dLlhttq1qx53ZhvdB5361xtNhvFixfn0KFDmXbMO3Ur5+rk5ITNZrvpc9XRZff4b0W2PNejR01/palTzZR1gLx54dlnoWdPnEqVum7D5Gx5rrdJ5+o4MhqbEkwiIiK5xZ9/piWVRo+Ge+6xNh65Y9HR0ezbty/1+4MHD7Jjxw4KFChAsWLFKFiwYLr9XV1dCQgISF35zcfHh27dutGvXz8KFixIgQIF6N+/P+XLl09NTpUpU4ZGjRrxwgsvMGXKFABefPFFmjZtqhXkLDBz5kyrQxCR22W3w4YNMGYMfPVVWv+k++4zq8E995wadku2pgSTiIhIbmC3mylx8fHQqBE884zVEUkm2Lp1K3Xq1En9PmVKWpcuXTKciBg9ejQuLi6EhIQQGxtL3bp1mTlzZropWeHh4bz66qupq801a9aMCRMmZN6JiIjkZPHxsHChSSxt3Zo2XqeOWWijaVPIhg3lRf7N8ep+RUREJPPNnAk//QSenjBpkmnwLdle7dq1sdvt13zdKLl06NAhevfunW7Mw8OD8ePHc/78eWJiYvjmm28ICgpKt0+BAgUICwsjKiqKqKgowsLCuEcVcNnaoUOH6N69Ow8//DCenp4UKlSINm3asHPnzhveZ8OGDYSEhBAYGIi7uztFihShYcOGhIWFAaa6KqW/0eHDh7HZbKlftWvXTj3Ovffei81mw263M378eCpUqECePHl45JFH0j3esmXLqF+/Pvnz58fDw4NSpUrxxhtvcPHixWtiGzp0KDabjZkzZ7Jr1y6aNWtG/vz58fLyIjg4mPXr12fCVRO5RefOwbBhcO+90KmTSS65u5tKpV9/hR9+gObNlVySHEMVTCIiIjnd2bPQv7+5/fbbUKKEtfGIiKXWrVtHkyZNiIqKonTp0jz99NOcOHGCr776imXLlvHtt9+mq4wDGDNmDH379sVut1O5cmWCg4M5c+YM27dvZ8+ePXTq1IkHHniALl26MGvWLLy8vGjTpk3q/UuXLn1NHN27d+ezzz4jODiYMmXKpFs1cPjw4QwePBgXFxeCg4Px9fXl559/ZsSIESxatIg1a9Zct8n81q1b6dGjB0WLFqVu3brs27ePNWvWUL9+fb7//nuqaWEDyQq//26qlcLC4MoVMxYQAD16wEsvQaFC1sYncpcowSQiIpLT9etnGohWqAD/ql4RkdwlKiqKtm3bEhsby4IFC1JX9XNycmLVqlU0adKE0NBQDhw4gJubGwBr1qyhb9++eHt7s3jx4nTVSPHx8axevRowTcZr1qzJrFmz8PX1vek0za+++opffvmFhx56KN34li1bGDJkCN7e3qxatSq1uXxcXByhoaEsXLiQXr168fnnn19zzIkTJzJixAhef/311LE+ffowZswYxo0bpwST3D3JybBihelxePWS8489Bn36QEgI/PM7JZJTaYqciIhITvb99zBnjpkS9+mn4MArlIjcjN1u53L85bv/lZB5x7Lb7Zl6Da6edvbvr6+//vqm958xYwanTp2if//+6SqMAOrVq8crr7zC8ePHWbp0aer4Bx98gN1u5//+7//SJZcA3NzcaNiw4W2dy8CBA69JLgFMmDCB5ORkevfunZpcArMy4YQJE/D09OTLL7/k+PHj19y3Zs2a6ZJLAEOGDAHQNDm5O2Ji4JNP4KGH4KmnTHLJyQlat4a1a820uE6dlFySXEEVTCIiIjlVbKwpxQdTln/VGzWR7CgmIYa8w/NaHcYtiR4UjZebV6Ydr0uXLjfcVqxYsZveP+KfyooWLVpcd3vNmjUZM2YMW7ZsoVWrViQlJfHjjz8CZvXAzNSsWbPrjq9duxaAjh07XrPNz8+PBg0asHjxYtavX0/btm3TbU9pRH+1ggULUrBgQU6fPp0JUYv848QJmDjRJJf+/tuMeXvD889Dr16aji65khJMIiIiOdU778D+/VCkiGkyKiLZXkZXB7yRQ4cOAVC1atX/3O/cuXOp/8bGxuLn54e3t/cdPfa/3SghduLECWw2G8WLF7/u9nvvvTd1v38rWrTode+TN29ezp8/f3uBilztl1/MNLj58yEhwYyVKGFWg+vaFfLlszY+EQspwSQiIpIT7dwJo0aZ2xMn6gWv5Ah5XPMQPSj6rj5GcnIyUZeiyOdt+hLdqTyueTIhqsyTlJQEQNu2bfH09CQhIQFXV9fU1d9S/DsB9e/tmcHDw+OO7n+9mO5GnCIkJ8OyZfDxx/BPzzEAatY0/ZW0EpwIoASTiIhIzpOUBC+8YP5t1cq88BXJAWw2W6ZON7ue5ORkklyT8HLzypQEk6MpWrQoe/bsYciQIZQrV46oqKjUJt/X4+vri6enJ6dPn+bSpUuZXsV0PYGBgRw8eJDDhw9TqlSpa7YfPnwYgMKFC9/1WCSXi4mB2bNNxdJff5kxZ2fTsLtPH6hc2dr4RBxMzvurKSIikttNmgSbN5uqpfHjrY5GRBxIvXr1ADLUEBzA2dk5tbH31KlTM3QfV1dXEhMTbys+gCeeeAKA8PDwa7adPXuWlStX4uTkRI0aNW77MUT+06lTMGQIFCsGL79skks+PvD663DwIMydq+SSyHUowSQiIpKTHD0Kgweb2yNGQGCgtfGIiEN56aWXKFSoEO+//z6fffbZNavcXb58mdmzdStjmAAAIABJREFUZ3Ps2LHUsYEDB2Kz2Xj33XdTG3CnSEhIYMWKFenGAgMDOX36NBcvXrytGHv06IGTkxNjx45l69atqePx8fH06tWLmJgYWrVqRZEiRW7r+CI3tGsXPPccFC9ueheePw/33Qfjxpm/ryNGQFCQ1VGKOCxNkRMREckp7HZ45RWIjoYaNSCTV3wSEes9++yzN9xWrFgx3nnnnf+8f/78+Vm0aBHNmjXj+eef5+2336Z8+fJ4eHhw5MgRdu/ezeXLl/nll19SG2YHBwczcuRIBgwYQK1atahSpQr3338/Z86c4ddff8XLyyu1eTiY1eHGjx/PY489Ro0aNfDw8KBUqVIMGDAgQ+dYpUoV3n33Xd58802qV69O7dq18fX15eeff+bo0aOULFmSCRMmZOhYIjdlt0NEBHz0EaxcmTZeowb07QstWqi/kkgGKcEkIiKSUyxcCEuXgqsrfPop5MD+MSK53axZs264rUKFCjdNMAE8/vjj7Nq1i48++oilS5eyevVqnJ2dCQwMpGnTprRq1YqyZcumu0///v2pXLkyo0ePZv369fzyyy/4+flRsWJFOnfunG7f4cOHY7fbWbx4MQsWLCAxMZHg4OAMJ5gABg8eTIUKFRg9ejRbtmwhNjaWYsWK8frrr/PGG2+QP3/+DB9L5Lri42HePJNY2rXLjDk5QevWJrFUrZq18YlkQ0owiYiI5AR//w29epnbgwfDQw9ZG4+IZKp/T2XLiKuriv4tMDCQUaNG8dZbb/1nk++rBQcHExwcfNP9vLy8GD9+PONv0APuv+K6WpMmTWjSpEmG9h06dChDhw694fYDBw4QFRWVoWNJDnfhAkyZYqa9nTxpxry8oFs36N0bSpSwNj6RbEwJJhERkZxgwAA4cwbKlIFBg6yORkRExLEcOgRjxsC0aXD5shkLDIRXXzVTylUVJ3LHlGASERHJ7n74AWbMMLenTgV3d2vjERERcRRbt8KHH5pp5MnJZqx8eejfH9q1Azc3a+MTyUGUYBIREcnOYmPTmnm/8go8/ri18YiIiFgtORm++w5GjYKffkobb9DAJJbq1QObzbr4RHIoJZhERESys7ffhv37oUgRGD7c6mhERESsExcH4eGmcfcff5gxFxdo394klh5+2Nr4RHI4JZhERESyq+3bTdk/wKRJkC+ftfGIiIhY4eJFM1V87Ni0xt3e3vDSS/Daa1C0qLXxieQSSjCJiIhkR4mJ8PzzkJQEISHQrJnVEYmIiGSto0d5aMYMXDp1guhoM1akiEkqvfgi+PhYG59ILqMEk4iISHb00Ufwyy9m1Ztx46yORkREJOvs2gWjRuEybx4PJCaasXLlzDS49u3VuFvEIkowiYiIZDd//QX/+5+5PXo0+PtbG4/IXWC3260OQXIpPfcclN1uGnaPHGkaeAM24Gz58uQfNgyXpk3VuFtyvX37ICjIugWFnax5WBEREbktycnwwgumkWmDBtC5s9URiWQqZ2dnABISEiyORHKrlOdeynNRLJaUBF98AVWrQp06Jrnk5ARt25K4fj3r330Xe6NGSi5JrmS3w7Zt8NZbUL48lCwJ339vXTyqYBIREclOpk6FNWsgTx6YMkUvqCXHcXV1xd3dncjISLy9vbHpOS5ZyG63ExkZibu7O66urlaHk7tduQKzZpkp4Xv3mjEPD3juOejbF+6/H3tCAixbZm2cIlksIQHWroVFi+Drr+HYsbRtLi7w55/w1FPWxKYEk4iISHZx7BgMGGBuDxsG995raTgid4uvry/Hjx/n2LFj+Pj44OrqmmWJpuTkZOLj47ly5QpOTjm72F/nmsZut5OQkEBkZCTR0dEUKVLEgigFMCvCTZ5sVoQ7fdqM5c8PPXuaLz8/a+MTsUBMDKxcaZJK33wDFy6kbfPygkaNoEULaNLE/LpYRQkmERGR7MBuh+7d4dIlqFYNevWyOiKRuyZfvnwAnDt3juPHj2fpY9vtdmJjY/H09Mzx1VM612u5u7tTpEiR1OegZKHjx01fwSlT0laECwoy1UrPPw9581obn0gW+/tvWLrUJJVWrIDY2LRtvr5mAeEWLaBePfD0tC7OqynBJCIikg3Y5s+Hb781K+NMnw7qDSI5XL58+ciXLx8JCQkkJSVl2eMmJCSwZs0aatWqleOnSOlc03N2ds7x18Eh/fknjBoFc+aYuT9gVoR7/XVo1w70M5Fc5PhxM+1t0SL48UfTgixF8eLQsqX5qlHDTIdzNA4YkoiIiFzN7eJFnPv1M9+89RaULWttQCJZyNXVNUvf9Ds7O5OYmIiHh0eOTzboXMVSmzbBiBHm3XTKyn1PPAEDB5oGMjm8qk4kxYkTXnz4oROLF5tfi6uVL5+WVKpQwfF/LZRgEhERcXDlp0/Hdv48PPyweeEtIiKSHdntppHMBx+Y8owUzZubv2/Vq1sWmkhWsdvh119NldKXX7rw++/10m2vXj0tqfTAAxYFeZuUYBIREXFgtm++oejatdidnbHNmKGpAiIikv0kJcEXX5jE0o4dZszFBTp1MotXqDJXcrjkZNi4Eb76ynwdPJiyxYazczJ16kDr1k40bw6FC1sZ6Z1RgklERMRRXbyIc8+eACT36YNzxYoWByQiInILrlyBWbNMj6X9+82Ylxe8+CL06WOaeIvkUAkJsGaNSSgtWgQnT6Zt8/SEhg2hWbNE3NxWEhJSH1fX7L+apxJMIiIijqpfP2wnT3KpSBE83noLtfUWEZFsISoKPvnErAp36pQZK1jQrIDas6e5LZIDXbkCq1bBl1/CkiVmJbgU+fLB009Dq1YmueTlBQkJdpYtS7Au4EymBJOIiIgjWrkSZszAbrOxo2dPqjnK+rMiIiI3cvYsjB0LEyfCxYtmrGhR6N8fnn/evKMWyWEuX4bvvjNJpaVLITo6bVuhQtCihemnVLeuWQw4J1OCSURExNFcugQvvABAcs+e/F2mjMUBiYiI/IcjR+Cjj2DqVIiNNWOlS8Prr0PHjjn/XbXkOpGRJpn05ZewfHna0x6gSBFTpdS6NdSsCc65qARdCSYRERFHM3CgebFeogTJ77wDP/1kdUQiIiLX2rMHRoyAOXMgMdGMVaoEgwaZsg2n7N9TRiTF33/D4sUmqRQRAfHxadvuu88klFq1gipVcu9TXwkmERERR/LjjzB5srk9bZqmE4iIiOPZvh2GDzfvtO12M/bkkyaxVLcu2GzWxieSSc6cga+/Nosgrl6dlkcFU6TXpo1JLFWooKc9KMEkIiLiOC5fNj0qwKyw8+STZgkSERERq9ntsHYtvP8+rFiRNt68uUksVa1qXWwimejkSbPq2xdfmCLy5OS0bQ8/nJZUKlvWuhgdlRJMIiIijuLNN80yzkWLwsiRVkcjIiJiEkvffWcSSz//bMacnaFdO3jjDShXztr4RDLBsWPw1VcmqbRuXVphHphZnylJpQcesC7G7EAJJhEREUewdi2MG2duT5sGPj7WxiMiIrlbUpJ5x/3++7Bjhxlzc4PnnoMBA0zTGZFs7MgRM8tz4ULYsCH9tmrVTFKpVSsoUcKa+LIjJZhERESsFhNjXrDb7ebfhg2tjkhERHKrhAQID4cPPjBNvMH0A3z5ZejbFwoXtjY+kTtw6JCpUvriC9i0KW3cZoMaNaBtW5NUCgqyLMRsTQkmERERq731FuzbZ9a1/egjq6MREZHcKDYWZswwU7SPHDFj+fPDq6+arwIFrI1P5DYdPGgSSgsXwpYtaeM2G9SqlVapFBhoXYw5hRJMIiIiVlq/HkaPNrc//RTuucfaeCRTnTp1iuXLl7N27Vp+/fVXzp49S2RkJD4+PhQqVIhHHnmEJ554ggYNGlBYVQEiYoVLl8zqpR9/DKdPmzF/f+jXD7p3B29va+MTuQ2HDpmE0uefw9ataeNOTiaplFKpFBBgWYg5khJMIiIiVomNha5dzdS4Ll3gqaesjkgyyYoVK5g8eTLLli0jKSkJ+9XdQoGoqCiOHj3K9u3b+eyzz3B2dqZJkya8/PLLNGjQwKKoRSRX+ftvGD8exo6FCxfMWLFiMHCg+dvk6WltfCK3KCWp9O9KJScnqF07rVLJ39+qCHM+JZhERESs8tZb8Ndfpp9FShWTZGtbt26lf//+rF27FoCaNWtSu3ZtqlSpQunSpSlQoAD58uUjMjKSCxcusHv3bjZv3szq1atZsmQJS5YsoVatWnz44YdUrFjR4rMRkRzp9GlTrTRpEkRHm7EHH4RBg6BjR3B1tTY+kVtw+HBapdL1kkoplUp+fpaFmKsowSQiImKFn382L/ABpk41fS4k26tSpQoBAQG8//77dOzYkaJFi153vwIFClCgQAHuv/9+mjZtCsDRo0cJCwtj3LhxVKlShaSkpKwMXURyumPHYNQoMx37yhUz9vDD8OabZv11Z2dr4xPJoKNH05JKVzfqdnKC4GAICVFSySpKMImIiGS1mJj0U+OaNLE6IskkH3/8Md27d8fDw+OW7xsUFMSgQYPo06cPU6ZMuQvRiUiutH8/jBgBM2eaFeIAqlaFIUPM3x+bzdLwRDLixIm0pNL69WnjNptJKrVta/Kkmv5mLSWYREREstqQIbB3r1muZMwYq6ORTNS7d+87PoaHhwevvfZaJkQjIrna7t2mYmnuXEhONmO1a5uKpbp1lVgSh3f6NCxebJJKa9eaz+XAPHVr1jSVSq1bm04D4hiUYBIREclK69alJZWmTdOqcTnM999/T926da0OQ0Rysx07qDRyJC4bNqS9I2/c2CSWHn/c2thEbuLcOVi40MbkyTX4/XeX1NwoQI0aJqnUpg0UKWJdjHJjSjCJiIhklZgYeO4584K/a1fzgl9ylPr161OkSBE6dOhAp06dKF++vNUhiUhusXkzvPcert98Q+p775YtTWJJiwaIA7t4Eb7+GhYsgFWrIDHRBSgEQJUqJqnUtq1Z5FAcmxJMIiIiWWXQIDM1rkiRtAbfkqOUKFGCgwcP8uGHH/Lhhx9Svnx5QkNDad++PYGBgVaHJyI50dq18O67EBEBgN3JieOPP47/2LG4PvqoxcGJXF90NCxZAvPnw4oVEB+ftu3RR+2UL/8Hb775IA8+qFUNsxMnqwMQERHJFX78EcaNM7enT9fUuBxq//79rF+/nu7du1OwYEF27tzJ66+/TvHixWnQoAGzZ88mOmVZcBGR22W3m1KP4GCoVcskl5ydoUsXEnfuZFu/flCunNVRiqQTGwtffmmqkfz8oGNH+OYbk1x66CGTJ/3rL9i0KZFWrfZRooTVEcutcsgE0/Dhw6lcuTLe3t74+fnRokUL9uzZk26fZ599FpvNlu6rWrVq6faJi4ujV69e+Pr64uXlRbNmzTh27FhWnoqIiAhcumSmxAG8+CI0bGhtPHJXVatWjYkTJ3Ly5Em++eYbQkJCcHd3Z9WqVXTt2pWAgAA6duzId999R/LVzSVERG7Gbodly0wzmvr1Yc0acHWFl14yFbIzZ8KDD1odpUiq+Hj49lsIDTVJpTZt4IsvTLLpgQfMDM5du+C338waKCVLWh2x3AmHTDD99NNP9OjRg40bNxIREUFiYiINGjTg8uXL6fZr1KgRJ0+eTP1atmxZuu29e/dm0aJFzJ8/n3Xr1hEdHU3Tpk1JSkrKytMREZHcbsAAOHQI7r0XPvzQ6mgkizg7O9OkSRPmzZvH6dOnmTlzJnXr1iUuLo558+bRtGlTAgMD6dOnD1u3brU6XBFxZMnJpklN5crQpAls3AgeHtCrFxw4AJ98gso9xFEkJcEPP5jP1AoXhqZNISzMTIsLCjIvi7ZtM9VK772nYrucxCF7MC1fvjzd95999hl+fn5s27aNWrVqpY67u7sTEBBw3WNERkYyffp05syZQ7169QAICwsjKCiIVatW0VCfHouISFZYuRKmTDG3Z8wAb29r4xFLeHl50blzZzp37szp06eZO3cu4eHhbN++nXHjxjFu3DhKlSrFH3/8YXWoIuJIkpLMnKL33jNlHgBeXvDyy9CvH9zgvZBIVrPbYdMmmDcPPv8cTp1K2+bvbxp1t2sH1aqBk0OWuUhmcMgE079FRkYCUKBAgXTjP/74I35+ftxzzz0EBwczbNgw/Pz8ANi2bRsJCQk0aNAgdf/AwEDKlSvH+vXrr5tgiouLIy4uLvX7qKgoABISEkhISMj087pbUmLNTjFbRdcqY3SdMk7XKmNyzXWKjMSlWzdsQFKPHiTXrAm3eM655lplgquvlSNfL39/f/r06UOfPn1YsmQJ3bp14/z589e0A8iINWvWMGrUKLZt28bJkydZtGgRLVq0AMx1GDJkCMuWLePAgQP4+PhQr149Pvjgg3QNx+Pi4ujfvz/z5s0jNjaWunXrMmnSJIoWLZq6z4ULF3j11VdZsmQJAM2aNWP8+PHco15iIndHYqJ5p/7++/Dnn2bM29tULPXpA76+1sYn8o9du2DuXNOs+9ChtPH8+aF1a2jf3rQKc3a2LETJQg6fYLLb7fTt25eaNWtS7qraucaNG9O2bVuKFy/OwYMHeeutt3jyySfZtm0b7u7unDp1Cjc3N/Lnz5/ueP7+/py6Op16leHDh/P2229fM75y5Ury5MmTuSeWBSL+WUlCbk7XKmN0nTJO1ypjcvp1enTsWIodO0Z04cL8+MQTJP1rKvetyOnXKjNFREQQExNjdRg3dPbsWebNm0d4eDhbt27FbrcDUKZMmVs+1uXLl6lQoQJdu3aldevW6bbFxMSwfft23nrrLSpUqMCFCxfo3bs3zZo1Szclr3fv3nzzzTfMnz+fggUL0q9fP5o2bcq2bdtw/ucdQYcOHTh27FhqlfmLL75IaGgo33zzze1eBhG5noQEmDPHJJb27zdj99wDvXvDq6+ad+0iFjtwwOQ/582D339PG/fyghYtTKVSgwbg5mZdjGINh08w9ezZk507d7Ju3bp0488880zq7XLlylGpUiWKFy/Ot99+S6tWrW54PLvdjs1mu+62QYMG0bdv39Tvo6KiCAoKokGDBuTLl+8OzyTrJCQkEBERQf369XF11bKO/0XXKmN0nTJO1ypjcsN1si1Zgsvq1didnPCYP5+G1avf1nFyw7XKLFdfq9jYWKvDSScmJoZFixYRFhbG999/T1JSEna7HT8/P9q1a0doaCgVK1a85eM2btyYxo0bX3ebj4/PNYnJ8ePHU6VKFY4cOUKxYsUy1FJg9+7dLF++nI0bN1K1alUApk6dSvXq1dmzZw+lSpW65bhF5F/i4kyD7uHD4fBhM+brC337Qo8ekI3ei0jOdPKkmfo2b56ZCpfCzQ2eespUKjVtCtmwLkMykUMnmHr16sWSJUtYs2ZNujLt6ylcuDDFixdn7969AAQEBBAfH8+FCxfSVTGdOXOGGjVqXPcY7u7uuLu7XzPu6uqaLV/UZ9e4raBrlTG6Thmna5UxOfY6nT0Lr7wCgK1/f1yu6h94u3LstboLXF1dSUxMtDoMkpOTWbFiBeHh4SxevJiYmBjsdjuenp60bt2a0NBQGjZsmFollBUiIyOx2WypU9sy0lJgw4YN+Pj4pCaXwKyU5+Pjw/r165VgErkTV67AtGkwYgSkrHbt72+6IHfvbkpCRCxy8SIsWmSmwP3wg+k1D6aH0pNPQocO0LKlKbITAQdNMNntdnr16sWiRYv48ccfKZGBFRHOnz/P0aNHKVy4MAAVK1bE1dWViIgIQkJCADh58iS//fYbI0eOvKvxi4hILma3m+arZ87AQw/BO+9YHZFksc2bNxMWFsaCBQs4d+5cavV0cHAwoaGhtGnTBm8Lmr1fuXKFN954gw4dOqRWZmekpcCpU6dSe1xezc/P74ZtByD79rbMTX3PdK4WionBaepUnD76CNs/v0f2IkVI7t+f5OeeA09Ps99txOtw53oX6VwzX2wsLFtmY/58J777zkZ8fNrsn6pVk2nXzk7r1snp+stndkj6uTqejMbnkAmmHj16MHfuXBYvXoy3t3fqixcfHx88PT2Jjo5m6NChtG7dmsKFC3Po0CEGDx6Mr68vLVu2TN23W7du9OvXj4IFC1KgQAH69+9P+fLlU0vARUREMt28eWbFHxcX00fjOpWxknM9+OCD7N+/P11fpdDQUDp16nTTauy7KSEhgXbt2pGcnMykSZNuuv+/Wwpcr73Af7UdgOzf2zI39T3TuWYd59hYSnz3HfcvXozrPwsZxRQqxN5WrThSrx7Jrq6wenWmPJbV55qVdK53JinJxq5dvvz0U1E2bixMbGxamiAoKIpatY7xxBPHCQgw/Q23b8/0EK5LP1fHkdHelg6ZYJo8eTIAtWvXTjf+2Wef8eyzz+Ls7MyuXbuYPXs2Fy9epHDhwtSpU4cFCxak+0Rw9OjRuLi4EBISkroqysyZM7O0FF1ERHKR48dNrwyA//s/ePRRa+ORLLdv3z78/Pxo3749oaGhPPbYY1aHREJCAiEhIRw8eJAffvghXV/JjLQUCAgI4PTp09cc9+zZs/j7+9/wcbNrb8vc1PdM55qFoqJwmjQJp7FjsZ0/D4C9RAmSBg7EtVMnyrq5UTaTHsryc81COtfbZ7fD1q025s2zsXChE6dPp31gUKyYnZCQZNq1S6Z8eU9stpJAyTt+zIzSz9XxpFQh34xDJphSPvW7EU9PT1asWHHT43h4eDB+/HjGjx+fWaGJiIhcn90O3bqZhgWVKsEbb1gdkVjg22+/pUGDBg7zYVZKcmnv3r2sXr2aggULptuekZYC1atXJzIyks2bN1OlShUANm3aRGRk5A37WkL2722ZXeLMDDrXu+jCBRg3DsaMMX8fAEqWhMGDsXXsiMtdjEU/15zpTs91714IDzdf+/aljRcsCCEhpq9SjRo2nJycAWv/lunn6jgyGptDJphERESynSlTYMUK8PCA2bPBgV8kyN1zoxXdUuzdu5dz585RsGBBHnzwwTt+vOjoaPZd9Q7h4MGD7NixgwIFChAYGEibNm3Yvn07S5cuJSkpKbXtQIECBXBzc8tQS4EyZcrQqFEjXnjhBaZMmQLAiy++SNOmTdXgW+RGzp83SaVx4yDlk//SpWHIEHjmGTONWiSLnDoFCxaYpNKWLWnjefJA8+YmqdSwoV66yJ3T/2wiIiJ3au9e6NfP3P7gAyhTxtp4xKHExsYydOhQpk2bxsV/Khi6dOnCjBkzANMCYPz48cyYMYNHHnnklo69detW6tSpk/p9ypS0Ll26MHToUJYsWQJwzXFXr16d2oogIy0FwsPDefXVV1NXm2vWrBkTJky4pVhFcoWzZ+Gjj2DiRIiONmPlypnEUps24CDVjZLzRUebFeDCwmDVqrQV4JydoUED6NjRJJfy5rU2TslZlGASERG5E4mJ0KULxMRAnTrQq5fVEYkDuXz5MnXq1GHbtm34+/vTpEkTli5dmm6fWrVq0a1bNxYsWHDLCabatWv/Z2uBm7UdgIy1FChQoABhYWG3FJtIrnLqFHz4IUyebP4eADzyiOnH17y5Wddd5C5LSICICJNUWrw47akIULUqdOpkpsFdZ2FQkUyhBJOIiMidGDUKNmyAfPlg5ky9iZB0RowYwdatW3nxxRcZO3Ys7u7uOP3rOXL//fdTunRpVq1axfDhwy2KVERuy4kTMHKkmSZ95YoZq1TJJJaaNoX/WGlRJDPY7WbaW1gYzJ9viuhSlCxpKpU6doQHHrAuRsk9bjvBlJSUxPbt2/n11185e/YskZGR+Pj4UKhQIR555BEee+yxa15AiYiI5Cg7dsD//mdujx8PxYpZG484nAULFnDvvfcyceLE/2z8Xbx4cXbs2JGFkYnIHTl61CSWpk6FuDgzVq2aSSw1aqTEktx1+/ebnkphYWamfopChaB9e5NUqlxZT0XJWrecYFq+fDlTp05l5cqVxPxTc3d1+bXtn2dwnjx5aNiwIS+88AINGzbMpHBFREQcxJUrEBpq6tFbtjS3Rf7lyJEjNG3a9KaryuXLl48LFy5kUVQictsOHTK99mbMMP//A9SsaT5sqFtX7+blroqKcmXKFCfmzjXF0yk8Pc1LkU6doF49NesW62Q4wTR//nyGDBnCwYMHsdvt+Pn5Ubt2bUqXLk2BAgXIly8fkZGRXLhwgd27d7Nlyxa++uorFi1axH333cd7773HM888czfPRUREJOsMGQK//WYaGUyZojcVcl1eXl6cO3fupvsdPHiQggULZkFEInJb9u+H4cNh1izTew9M373/+z8IDtbfALlrrlyBpUth9mxnvvuuEYmJZpaQk5PJaYaGQosW4O1tcaAiZDDBVKVKFbZt28a9997L4MGD6dChA2UysELOH3/8QXh4OPPnz6d9+/Z8/PHHbNq06Y6DFhERsdTq1fDxx+b29OmmHl3kOipWrMi6des4evQoQUFB193n999/55dffqF58+ZZHJ2I3NRff8H775t5SElJZqx+fXjrLXjiCWtjkxwrORl+/hnmzIGFC8EsQGoSS488Yic01Eb79lC4sKVhilwjQ02SLl++THh4OPv27ePdd9/NUHIJoGzZsgwbNox9+/YRHh5OdMpSnSIiItlVZKRZNc5uhxdfNE1cRW6gZ8+exMbG0qpVK/bt23fN9sOHD9O5c2eSk5Pp2bOnBRGKyHXt3m3mG5UpY6qWkpKgcWNYvx5WrlRySe6KvXtNUdz990OtWqbF18WLULQo9O+fxLhxP7B5cyJ9+yq5JI4pQxVMv/32W2pvpdths9lo37497dq1u+1jiIiIOIRevUxz1/vvh48+sjoacXBPP/00ffr0YfTo0ZQqVYoyZcpgs9lYuXIllSpVYufOnSQmJjJw4EBq165tdbgismsXvPeeKRtJ6TP79NOmYqlyZWtjkxzp/HlYsMBUK23cmDbu7Q1t2pgpcMHBkJSUzLJll6wLVCQDMpRgupPk0t04joiosnoSAAAgAElEQVSIiCUWLjSvAJ2czL9581odkWQDH330EVWrVuX9999n586dAJw4cYITJ05QqlQphgwZQseOHS2OUiSX++UXePddWLQobaxlS9Nv77HHrItLcqS4OFi2DGbPhm+/TesX7+wMDRpA587QrBnkyZN2n5QZmiKO7JZXkbvan3/+yX333Yebm1tmxSMiIuKYjh+H7t3N7cGDoXp1a+ORbCUkJISQkBDOnj3L4cOHSUpKomjRohQpUsTq0ERyt82bTWJp6VLzvc0GbduaxFL58tbGJjmK3W6ebrNnw/z58PffadseecRUKnXoAAEB1sUocqcynGD666+/aNu2LTabjUWLFtGrVy+WLVuGr68v33//PeX1H7CIiORUycnQtat5NVixopkqIXIbChUqRCE1hRex3s8/m8TSihXmeycnaNcO3nwTypa1NjbJUY4cMT3iZ8+GPXvSxgsXNm2+QkOVy5ScI8MJpv79++Pn58eVK1do06YNhQoVYsGCBcyePZuhQ4fy5Zdf3s04RURErDNhAkREgKeneZWoyl0RkezHbsf2009mVbjVq82Ys7N5lz94MDz4oLXxSY4RHQ1ffmn6w//4Y1o7rzx5oFUrk1SqW9c8/URykgwnmHbs2MHevXuJjY3F19eXU6dO4evrS/369XnkkUfuZowiIiLW+f13eP11c/vDD6F0aWvjEYf23HPP3fZ9bTYb06dPz8RoRAQwiaWICGoOHozL7t1mzNXVrAg6aBDcd5+18UmOkJRk8pazZ5vkUkxM2rbatc3TrXVr07xbJKfKcILJw8MDd3d33N3dKV68OL6+vgDcc889uLq63rUARURELBMXBx07mn8bN4aXX7Y6InFwM2fOxGazYU/5uPoWKMEkksnsdtNB+b33cNm0iYKA3c0N2/PPw8CBUKyY1RFKDrBnj6lUmjMHjh1LGy9Z0iSVOnWC4sWti08kK2U4wXT1C6Xhw4en25aQ0vZeREQkJ3nrLfj1V/D1hRkzTPNXkQyoWLEiHTp0IDAw0OpQRHKf5GT4+mt47z2zOhxg9/DgQL16FJswAVe925c7dOECLFhgEksbN6aN33OPaeXVuTNUq6aXDZL7ZDjBVL9+fU6cOEFgYCAhISGp4xs3btSLJxERyXlWrzZT4gCmTdOyLpIh3bt3Z+HChWzbto0dO3ZQu3ZtOnXqROvWrcmbN6/V4YnkbElJsHAhDBsGv/1mxry8oEcPEnv14rdt2yim9y1ymxITYeVKk1RavNgUN4Ppo9SokalWevpp8PCwNk4RKzlldMdJkyZdN5FUqVIlVqc0yRMREckJLlwwHz/a7fD889C8udURSTYxadIkTp48yddff03Lli35+eefee655/D396d9+/Z8++23JCUlWR2mSM6SkGDe9ZctC+3bm+RSvnwwZAgcPgwjRoC/v9VRSjaV0ooxKAiaNIHPPzfJpfLlzedQx47B0qXQtq2SSyIZrmC64QFcXHBxuePDiIiIOAa7HV56ybxiLFkSRo+2OiLJZlxcXGjWrBnNmjXj0qVLfPHFF4SFhbFw4UI+//xzChYsyDPPPEPHjh2pVq2a1eGKZF9xcTBzJnzwARw6ZMYKFIA+faBnTzNfSeQ2/P03zJ9vnl5btqSNFywIHTpA167wyCOaAifybxmuYPq3d999NzPjEBERcQyzZ5spFi4uEB4OmtYkd8Db25uuXbvy/fffc+TIET744AMCAwOZOHEijz/+OJUqVbI6RJHsJyYGxo41q791726SS35+MHKkuT1kiJJLcssSE2HZMggJgcKFoUcPk1xycTGFzIsWwYkTMG4cPPqokksi13PbCaY5c+ZkZhwiIiLWO3DAfOoN8PbbULmytfFIjhIYGMiAAQOYNWsWjRo1wm63c+TIEavDEsk+oqJMtdK990Lv3ubdfpEiJtl08CAMGKA14OWW7d6dtqhgkybmM6b4eFOhNHq0eZp9/TW0aAFublZHK+LYbntu2+0svysiIuKwEhPNWsLR0fDEE+bVpkgmOXr0KHPnziU8PJzff/8du91OyZIlee6556wOTcTxnT9vkkjjxkFkpBkrUQIGDTL98tzdrY1Psp2LF9OmwG3alDbu6wsdO8Kzz5oEk4jcmttOMNlUEygiIjnJsGGwYQP4+MCcOWZZGJE7EBkZyeeff054eDjr1q0jOTmZQoUK0aNHDzp16kSVKlWsDlHEsZ08CR99BJ98Apcvm7EyZUxiqX17M3dJJIOSkuCHH+Czz8x0tytXzLizs6lc6toVnnpKVUoid0L/K4uIiPz8M7zzjrk9eTIUL25tPJJtxcfHs3TpUsLCwvjuu++Ii4sjT548hISE0KlTJxo2bIizkpci/+3gQdNPacYMM1cJTNObN9+Eli3B6ba7fEgutH+/qVSaNQuOHk0bL1fOJJU6dtQigyKZRQkmERHJ3SIjzavL5GQIDTWfiovcpoCAACIjI3F2dqZOnTqEhobSsmVLvLy8rA5NxPH98YfpsTR3rik3AXj8cRg8GBo3VldlybDoaPjiC1OttGZN2vg996StAlexop5SIplNCSYREcm97HZ4+WU4fNisRjRhgtURSTZ38eJFbDYbDz30EM7OzsydO5e5c+dm6L42m41vv/32Lkco4oC2bIHhw828pRQNG5rEUq1a1sUl2YrdDuvXm8K3zz83SSYwSaQGDUxSqXlz8PCwNk6RnExNvkVEJPcKC4N580wDhvBwyJfP6ogkB7Db7fz666/8+uuvt3Q/9beUXMVuh9WrTWJp1aq08ZYtTWKpUiXrYpNs5e+/PRg50onZs+Gvv9LGH3jAJJU6d4aiRa2LTyQ3ue0EU4sWLTIzDhERkax14AD06GFu/+9/UK2atfFIjrB69WqrQxBxbMnJsHixmQq3ebMZc3ExU5UHDjRNvEVuIj4eli6F6dOdWb68AcnJJkHv5QUhISaxVLOmpsCJZLXbTjCNGjUqM+MQERHJOgkJpgnDpUvmFejgwVZHJDlEcHCw1SGIOKb4eNNbacQI+PNPM+bhAd26wYABWlxBMuS338wUuDlz4Nw5ANPwvUaNZLp1c6JtW/D2tjREkVxNPZhERCT3GToUNm0CHx8zTU6reomI3B3R0TB1Knz8MRw7ZsZ8fKBnT3j1VfDzszY+cXiRkTB/Pkyfbtp1pShcGDp1SuLee3/khRdq4eqq1QVFrHbHCaYzZ85w8uRJ4uLibrhPlSpV7vRhREREMkdKzw8wb3r0qbmISOY7exbGjzeLJ1y4YMYCAqBPH+jeXT3v5D8lJ5vV36ZPhy+/hNhYM+7iAs2amSlwjRqB3Z7MsmXR1gYrIqluO8EUHh7Oe++9x19Xd1K7gaSUZUZFRESsdO4cdOpkmst26wZt21odkeQwjz/+OEOHDqV+/fq3fYzly5fzzjvvsH79+kyMTCSLHDhgqpVmzEjLCjzwALz+OoSGagkv+U/Hj8PMmebpc+BA2njZsubPdqdO6YveEhKyPEQR+Q+3lWCaNm0aL730Ena7nTJlynD//ffj5eWV2bGJiIhknpSk0okTUKoUjB1rdUSSA507d45GjRrx6KOP0rlzZ9q1a4dfBqYAnThxgnnz5jFnzhx27txJqVKlsiBakUy0fTuMGmXWh09ONmMVK8Ibb5iV4TQVWW4gPh6++cZUK61Ykfb08faGdu3gueegalU17BbJDm4rwTRq1ChcXV356quveOqppzI7JhERkcw3eTIsWQJubjBvnllqRiST/fHHH3zyySe8++679O7dm759+1K6dGkqV65MqVKlyJ8/P97e3kRFRfH333/z559/snnzZvbu3Yvdbsff35+JEyfy4osvWn0qIjdnt5uMwIcfwvffp403bGgqlurUUVZAbuiPP0xSac4cM6MyxRNPmM+D2rTRn2qR7Oa2EkxHjhyhdu3aSi6JiEj2sGsX9Otnbo8YAY8+am08kmM5OzvTo0cPXnjhBRYuXMi0adNYt24df/zxBwC2q95s2+321PsEBwfzwgsv0Lp1a9zc3CyJXSTD4uNN1+UPPzT/v4KpUHrmGZNYqlDB2vjEYV26BAsWmMTSxo1p44ULQ5cuplqpZEnr4hORO3NbCaaiRYvi5KQu/SIikg3ExJg3PVeuQOPG8NprVkckuYCbmxsdO3akY8eOREdH8/PPP7Nz507OnDlDZGQkPj4++Pn5UaFCBWrUqEHevHmtDlnk5i5ehClTYNw4M90YTInJCy9A795aNEGuy243yaRp00xy6fJlM+7sDE2bmmqlxo1NA28Ryd5u69c4NDSUMWPGcObMmQz1FRAREbFM796we7dZvWjmTE3XkCyXN29eGjZsSMOGDa0OReT2HDpk+tZNmwbR/6zYFRAAr75qVoTLn9/S8MQxnT0Ls2ebaqXdu9PGH3zQJJU6dzZPIxHJOW4rwTR48GA2bNjAU089xaRJk6hSpUpmxyUiInLnFi6EqVNNUiksLP3SMyIi8t82bDArwn31VVrn5XLlzJTj9u3B3d3a+MThJCVBRITJRS5ZkrbKW548ZuHWbt2gZk191iOSU91WgsnFxYWwsDCCg4OpXr06Xl5eFClSJF1fgRQ2m43ff//9jgMVERG5JYcOmWkbYFYxqlvX0nBERLKFxESTUBo9On2TnHr1oH9/aNBA2QG5xqFD8Nln5uvo0bTxypXh+efNanD58lkWnohkkdtKMO3du5c6depw8uRJ7HY70dHR7Nmz57r7Xi/pJCIiclclJJhP1yMjoVo1ePttqyMSEXFsFy6YspPx49MyBG5u0LEj9OkD5ctbG584nLg4WLzYPG1WrTK9lgAKFIBOnUy10sMPWxujiGSt20ow9e3blxMnTtC+fXv69OnDfffdh5fWkBQREUfxv/+ZT959/p+9Ow+P6fz/P/6cRBJLI8QexL7WTlUstYfYiqrWErFWa+kntVUX3x/aUrRolaJVtJaoXSwlqnbaorV/0IqqrbHkE4mQ9fz+OM0Qa4xJJonX47rmMnPOmZnXOU2zvOe+37cHLF4MLi6OTiQiki7lOH8epzffNJvlREebG/PmhTfegAED1CRH7nHsmFlU+vZbuHr19vamTc3RSu3bQ9asjssnIo5jU4Fpx44dVKpUiYULF9o7j4iIyJMJCYGPPzbvf/UVFC/u0DgiIulOYiJs3IjzZ5/RbOPG29srVzYXRujSBbJlc1w+SXeiom63Ndyz5/Z2Ly/o3Rt69YKSJR2XT0TSB5t7MJUvX97eWURERJ7MpUvmuHzDMFc2evllRycSEUk/rl83h51MmwYnT+IEGBYLRqtWOA0ZAo0bq7+SWBkG7NtnjlZavBgiI83tzs7Qtq05Ba5lS8hi01+UIpIZ2fTt4IUXXuDgwYP2ziIiImK7xETw94ewMLPpw+TJjk4kIpI+HD8O06fD/PnmUBQADw8SevViS/nyNOrdGydNJZZ/hYebC69+/TUcOnR7e+nS5hS4gADNnBSR+3Oy5UkTJkwgLCyMUaNG2TuPiIiIbT7+2Owymj07LFmi6R0i8nSLj4eVK83V3ypWNAtMUVFQvjzMmAHnzpE4cSLRqhQI5milrVvNQcCFCsGbb5rFpaxZzW0//QQnT8Lbb6u4JCIPZtMIppUrV9KxY0fGjRvHypUradKkCYULF37ginEjRox4opAiIiIPtWsX/N//mfenTzf/gBIReRpdvGg2ypk9G86fN7c5OUG7djBoEDRpcnsaXFyc43JKunDpkjmw7euv4Y8/bm+vUgX69TMXEcyd23H5RCRjsanANHLkSCwWC4ZhcOzYMY4dO/bAYy0WiwpMIiKSeq5ehVdfhYQE82PWgABHJ5KnmLOzs83PtVgsxMfH2zGNPDUSE80hJjNnwqpV5uglMFeD69vX7ElXrJhjM0q6kZAAGzeaRaXg4NtfLs88A127moWlmjXVjktEHp9NBaYZM2Y8cLSSiIhImjEM6NkTzp2DMmXMaR/6+SQOVLRoUf2OJGnnyhWYN88crXTq1O3t9erBgAHw0kvg5uaweJK+/PUXfPONeTt37vZ2Hx+zqPTyy2aRSUTEVikqMIWFhZEtWzbc3d0BeP3111M1lIiISIpMngxr15p/QC1dCv/+nBJxlDNnzjg6gmR2Sc1yvvoKli+H2Fhzu7u7OYqzf3+oWtWhESX9iI2FNWvML5eQEPPLByBPHujRw1wJ7tlnHZtRRDKPFBWYChUqRM+ePZkzZw4AAwYMwMfHB39//1QNJyIi8kB798LIkeb9qVP1B5WIZG4PapZTs6ZZVOrSRcNPxOr8+WcYOdKJ776Dy5dvb2/a1Jw12aGDBreJiP2lqMBkGAaJiYnWxzNnzuTWrVsqMImIiGOEh5t9l+LjoXNn848rEZHMJi4ONmww5zStXWs2zwFztNKdzXJEgJs3YdkymD3bmZ07m1q3FyoEvXqZo5VKlnRgQBHJ9FJUYMqZMyfnk1ahEBERcSTDMH9T/usvKFXKHPevnjeSAURGRvLnn38SGRmJkTRP5S4vvPBCGqeSdOn4cbO30rffmiOXktSpYxaVOnfWaCWx+v13c2DbggUQEQHghJOTgZ+fwWuvOdGqFWSxqfOuiMjjSdG3mpo1a/LTTz/xxhtvUKJECQAOHz7MxIkTU/QmWkVORETsZupUWL0aXF3Nvks5czo6kchDHTlyhMDAQLZu3frAwlKShKQRKvL0CQ+HoCBzGtzPP9/eni+f2SynVy81yxGr69dh8WKzsLRv3+3txYtDz54JFC26GX//Jri4ODkso4g8fVJUYBo/fjxt27Zl1qxZ1m379+9n//79j3yuxWJRgUlEROxj715I+pkyeTJUr+7YPCKPcOrUKerXr8/169epV68eFy9eJDQ0lFdffZXTp09z4MAB4uPjadeuHbly5XJ0XElrsbHmevHffWd2Yo6JMbc7O4OfH/TuDa1bmwV1eeoZBuzZYxaVliyB6Ghzu4uL2VOpb1+zx1JCQiLr199ybFgReSqlqMBUu3ZtTp48ye7du/n77795/fXX8fHxoUePHqmdT0RExHTtGrzyitl36eWXzSW4RdK5Dz/8kMjISObOnUtAQAC9evUiNDSUhQsXAvDHH3/Qp08fjh07xt69ex/79bdv386kSZPYv38/Fy9eZOXKlbRv39663zAMxowZw+zZswkPD+f5559n+vTpPHvHSJiYmBiGDRvG4sWLuXnzJk2bNmXGjBkUKVLEekx4eDhvvvkma9asAaBdu3ZMmzZNRTFbGAb88otZVAoKgqtXb++rUgV69jT7KxUo4LCIkr5cuWJ+uXz9NRw7dnt7+fJmUalHD3OgWxINhBQRR0nxbFwPDw/8/PwAeP311ylXrhz91VRVRETSQmIiBATA2bNQurT5W7b6LkkGsGXLFipUqEBAQMB995cuXZrVq1dTsmRJRo0axRdffPFYr3/jxg2qVq1Kr169eOmll+7ZP3HiRCZPnsy8efMoW7YsH374Ic2bN+fEiRO4u7sDEBgYSHBwMEFBQeTJk4ehQ4fSpk0b9u/fj7OzMwBdu3bl3Llz/PDDDwC89tpr+Pv7Exwc/Fh5n2rHjplzmhYvhj//vL29YEGzoNS9u0ZlilViImzZYv64W7nSHOwGkC2b+VlL375Qt65+FIpI+mJTu7fjx4/j4eFh7ywiIiL39+mn5gpKbm7quyQZSlhYGD4+PtbHLi4uANy6dYusWbMCkCtXLho1asTatWsfu8Dk5+dn/QDwboZhMHXqVN577z06duwIwPz58ylQoACLFi2if//+REREMGfOHL777juaNWsGwIIFCyhatCibN2+mRYsWHD9+nB9++IG9e/fy/PPPA/DVV1/h4+PDiRMnKFeu3ONdlKdJaCh8/71ZVDp48Pb27NnNOU3+/uacJnVgln+dP2/2d58zx/zySVKzprkKXNeuoD/DRCS9sqnrW7ly5ShYsKC9s1iNHz+e5557Dnd3d/Lnz0/79u05ceJEsmMMw2D06NF4eXmRLVs2GjVqxNGjR5MdExMTw+DBg8mbNy85cuSgXbt2nDt3LtVyi4hIKti1C955x7z/2WdQrZpj84g8Bk9PT27dupXsMcBff/11z7FhYWF2fe/Q0FAuXbqEr6+vdZubmxsNGzZk9+7dgNlTMy4uLtkxXl5eVKpUyXrMnj178PDwsBaXAOrUqYOHh4f1GLnD2bNmUbx2bXNN+JEjzeKSiwu0bQuLFkFYmLnkV4sWKi4JcXGwahW0aQPe3vD++2ZxycMDBg6EAwfMRt5vvKHikoikb6n2E+3atWvEx8cDkD9//sd67rZt2xg4cCDPPfcc8fHxvPfee/j6+nLs2DFy5MgB2G/It4iIpGOXL5tzARISoEsXeO01RycSeSwlSpQg9I5hCNWqVcMwDIKCgvh//+//AXDlyhW2bt2Kt7e3Xd/70r/L2xe4q5dPgQIFrAWuS5cu4erqSu7cue85Jun5ly5duu/vcvnz57cecz8xMTHEJDWtBq5fvw5AXFwccXFxNpxR2kjK9lgZT5/GaeVKLCtW4PTrr9bNhpMTRqNGJHbqhNGxI/xbYPz3DewV2WY2nWsGlR7P9dQpmDvXie++c+Kff27PdWvQIJFevRLp2NEge3Zz2+PETo/nmlp0rpmTzjX9SWm+VCsw1atXj5MnT2KxWKyFppRKmt+fZO7cueTPn5/9+/fzwgsv2G3It4iIpGMJCdCtmzlfoFw5mDVLzSYkw/H19eWDDz4gNDSUEiVK0LZtW/LmzcvYsWM5duwYRYoUYcWKFURERDBo0KBUyWC56/8bwzDu2Xa3u4+53/GPep3x48czZsyYe7Zv2rSJ7El/NadjISEhD95pGLifPUuhn3+m0N695Dp9+vYui4WrFStyvn59Lvr4EJPUCN2GJu5p5aHnmsk4+lxjYpzYs8eLkJBiHD2a17rdw+MWTZr8TbNmZylcOAqArVuf7L0cfa5pSeeaOelc04/opGUrHyHVCkyGYVhvTyoiIgK4Paz8UUO++/fv/8gh3yowiYikcx9+CCEhZkfTZcvg39GpIhmJv78/MTExXL58mRIlSpAjRw6CgoLo3LkzS5cutR7XvHlz3nvvPbu+d1I7g0uXLlGoUCHr9rCwMOuopoIFCxIbG0t4eHiyUUxhYWHUrVvXesw///xzz+tfvnz5ntFRd3rnnXcYMmSI9fH169cpWrQovr6+5EzHfdTi4uIICQmhefPm1p5ZACQkYNm7F8uaNTitWYPljkbdhrMzRsOGGB07ktiuHR4FC+IBVEz7+I/lgeeaCTn6XH/7zRyttHixExERZmHWycmgRQuDXr0Sad3aGReX4kDxJ34vR59rWtK5Zk461/QnaRTyo6Ragenw4cMkJiY+8esYhsGQIUOoX78+lSpVAuw35PtuGXUo990yyjC79EDXKmV0nVJO1yplHnWdLJs34zxmDBYgfvp0jHLl0sV0EkfQ11TK3Xmt0sv1KlWqFOPHj0+2rUmTJvz111/s2LGD8PBwypYtS82aNe3+3iVKlKBgwYKEhIRQ/d/VyWJjY9m2bRsTJkwAoGbNmri4uBASEkLnzp0BuHjxIkeOHGHixIkA+Pj4EBERwS+//ELt2rUB+Pnnn4mIiLAWoe7Hzc0NNze3e7a7uLik61+ik7i4uOASHQ0bN0JwMKxfD9eu3T7AzQ2aN4f27bG8+CKWvOZolIzYhCGj/Dexh7Q81/Bws+XWnDlmgSlJsWLQuzf06mWhaFELNrbFfST9d82cdK6ZU3o/15RmS7UCk70uzqBBgzh06BA7d+68Z589hnzfKaMP5b5beh9ml57oWqWMrlPK6VqlzP2uU9arV2k0ZAhZDIMzzZtz0NPT/MPuKaevqZQLCQlJ8VBuR8mRIwctW7Z84teJiorijz/+sD4ODQ3l999/x9PTE29vbwIDAxk3bhxlypShTJkyjBs3juzZs9O1a1cAPDw86NOnD0OHDiVPnjx4enoybNgwKleubG0xUKFCBVq2bEm/fv2YNWsWAK+99hpt2rTJfCvIGQYcPkzpFStwnjLFXGTgzlYPuXNDq1bmCnAtWsAzzzguq6RLiYmwbRt8/TWsWAFJPf5dXc0vm759oUkTcEqdmpKIiEOlqMA0Z84cXn755TQfzjx48GDWrFnD9u3bKVKkiHW7vYZ83y2jDuW+W0YZZpce6FqljK5TyulapcwDr1NcHM6+vjhFRGBUrUrh5csp/O9S7k8rfU2l3J3X6ubNm46Okyb27dtH48aNrY+Tfo8JCAhg3rx5jBgxgps3bzJgwADCw8N5/vnn2bRpk3VBFIApU6aQJUsWOnfuzM2bN2natCnz5s1LtiDKwoULefPNN62tB9q1a8cXX3yRRmeZyq5dgx9/hE2b4IcfcDl3jmfv3F++vLn6W5s2ULeuVn2T+zp/HubNg2++gTtaclGpEvTpA927Q968D3y6iEimkKKfkP369WPw4MG0bdsWf39/WrZsSZZU/OFqGAaDBw9m5cqVbN26lRIlSiTbb68h33fL6EO575ZRczuCrlXK6DqlnK5Vytxznd55xxwxkDMnlmXLcFHfJSt9TaWci4vLYy8wYi/ffvstAB06dMDd3d36OKV69OjxWMc3atToof0uLRYLo0ePZvTo0Q88JmvWrEybNo1p06Y98BhPT08WLFjwWNnSrZs3Yc8es6gUEmKu/37HNTSyZeOfihXJ5++Pc5s2UKqUA8NKehYba86enDPHnEmZ1B3E3d1c+LRPH3juOa1PISJPjxRViRo1asT27dtZunQpy5Ytw9PTk1dffZVu3bpRp04du4caOHAgixYtYvXq1bi7u1t7Jnl4eJAtWzYsFotdhnyLiEg6smIFfPqpeX/ePChd2qFxRGzRs2dPLBYLderUwd3d3fr4UZKm8D9ugUlSICYGfv3VXJJryxbYvdvcdqdnnwVfX/D1Jb5uXX7+6SdatWqFs4q6cu5tyJoAACAASURBVB9Hj5ojlb77Di5fvr29QQOzqNSpE+TI4bh8IiKOkqIC05YtW7hw4QILFy5k4cKFHDp0iOnTpzNjxgxKliyJv78/3bp1o5SdPuH58ssvAbOwdae5c+fSs2dPALsN+RYRkXTg5En49/s7w4aZjSpEMqD/+7//w2KxkPffuTBJjyUNRUbCzz/D9u3mbe/eewtKXl7QuLHZpLtZMyhc+Pa+dNIgXtKXiAhYssQcrfTLL7e3FywIAQFm0+6yZR2XT0QkPUjxPDcvLy+GDx/O8OHDOXbsGN999x2LFy/mzz//ZMyYMYwZM4Y6derg7+9P586d8fT0tDnUw4Z6J7HXkG8REXGw6Gjz497ISPPj37tW3BLJSO7+veRhv6eIHRgGnDljjkpKuh06dHuuUpJ8+eCFF6BpU7PDctmymrckj5SYaA58mzsXli83Z1eC2YarbVuzqNSypdpyiYgksenbYcWKFRk/fjzjx49nx44dfPfddyxfvpw9e/awd+9eAgMDadmyJd27d6ddu3a4urraO7eIiGQGhgFvvAGHD0OBAubHw/pNXUQeR61aZqPuO3l7mwXrF14wb+XKqaAkKXbmDMyfb95CQ29vr1gRevUCf3/zR5aIiCT3xL/FN2jQgAYNGjB9+nTWrl3LwoULWb9+PcHBwQQHB+Ph4cG1u3/oi4iIAJY5c+Dbb8HZ2Swu3bEyqEhm4OzsTM+ePZkzZ85Dj+vXrx9z5851WHPyDMtigYYNzSW86ta9fbtzyptICkRHm60A5841W3UlyZnTbNjdu7cadouIPIrdPiZ2cXGhQ4cOtG/fnmXLljFgwACuXr1KRESEvd5CREQykVynTuH83nvmg3HjzD8SRTIZwzBSNPU/6VixwfLl+qtfbGIY5oKCc+ean3FERt7e16SJOVqpY0fInt1xGUVEMhK7FZgOHDjAggULCAoK4p9//sEwDJydnfH19bXXW4iISGZx5QrPTZyIJTbWbOg9fLijE4k4VEREBG5ubo6OkTGpuCSP6e+/zRXg5s8315hIUry4ud5EQIB5X0REHs8TFZhCQ0NZtGgRCxcu5MSJE9ZP3qpXr46/vz9du3Ylf/78dgkqIiKZREICzj164HL5Mkbp0ljmztUfiJKpnD17NtnjqKioe7YliY+P58SJE2zatMluq/GKyL2io2HbtiJMm+bMli3m6CUwRye9/LJZWHrhBXBycmhMEZEM7bELTNeuXWPJkiUsXLiQPXv2AOaQ7iJFitCtWzf8/f2pWLGi3YOKiEgmMXo0Tps3E+/mhvH997h4eDg6kYhdFS9eHMsdRdPly5ezfPnyhz7HMAz69euX2tFEniqJibBzpzlSaenSLERG1rTue+EFc6TSyy+Du7sDQ4qIZCIpKjDdunWLNWvWsGDBAjZu3Eh8fDyGYeDu7s5LL72Ev78/jRo1SvbLlIiIyD2Cg+HDDwH4feBAqlaq5OBAIvb3wgsvWH8n2rZtG/nz56d8+fL3PdbV1RUvLy/atWtHhw4d0jKmSKb155/m+hHffmuuCGeyUKDADV57LSs9ezpTsqQDA4qIZFIpKjAVKFCAqKgoDMMgS5YstGzZEn9/f9q3b0/WrFlTO6OIiGQGf/xhru0MJAwcyPkXXqCqgyOJpIatW7da7zs5OeHn58c333zjuEAiT4Fr1+D7782i0r+TLABzdFLnztC1azwREZtp06YVLi7OjgsqIpKJpajAFBkZSY0aNfD396dLly7qqyQiIo/nxg1zKZ6ICPDxIXHCBNi82dGpRFJdaGgozzzzjKNjiGRKMTGwYYPZsHvtWoiNNbc7OUGzZuYUuPbtzT5LcXEG69c7Nq+ISGaXogLT0aNHqVChQmpnERGRzMgwoF8/OHwYChSAZcvA1dXRqUTSRLFixRwdQSRTMQzYvdssKn3/PYSH395XpQr06AFdu0KhQo7LKCLytEpRgelhxaVr166xf/9+rly5QrFixahbt67dwomISCbw+eeweDFkyQJLl4KXF8TFOTqVSJraunUr27dv5+LFi8TExNz3GIvFwpw5c9I4mUjGcPw4LFgAixbd2VfJ/JHStSt07w5VNe9aRMShHnsVuST//PMPb775JitWrCAxMRGAgIAAa4FpxowZvP/++6xevZoGDRrYJ62IiGQs27bB0KHm/U8/Bf08kKdMREQEL774Ijt27MBIWhf9AVRgEknu3DlYsgQWLoTffru9/Zln4KWXzLZ+jRqBs1oqiYikCzYVmK5cuULdunUJDQ2levXq1KtXjy+++CLZMe3bt+c///kPy5YtU4FJRORpdP682Vk1IQG6dYPBgx2dSCTNvf3222zfvp3SpUvzxhtvULZsWfVkEnmIa9fMmdSLFsH27eaUODAHwfr5mT9O2rY1+yqJiEj6YlOB6YMPPiA0NJSxY8fy/vvvA9xTYPLy8qJChQps3779yVOKiEjGEhMDnTpBWJjZFGP2bPh32XaRp8nq1aspUKAAe/fuxdPT09FxRNKlyEhYswaCgmDjxuSzqBs0MKfAvfwy5MnjuIwiIvJoNhWY1qxZQ4UKFazFpQcpVqwYe/futSmYiIhkYG++CXv3Qq5csGKFPmqWp1ZERAR+fn4qLoncJTraXAEuKMhcAe7Wrdv7qlUzi0qvvALe3o7LKCIij8emAtPFixd58cUXH3lc1qxZiYyMtOUtREQko5o9+/aIpcWLoVQpRycScZgyZcpw+fJlR8cQSRdu3YIffjD7KgUHw40bt/eVLQtduphFJS1eLSKSMdlUYPLw8OD8+fOPPO7UqVMULFjQlrcQEZGMaO9eGDTIvP/RR9CypWPziDjY4MGDGTRoEIcPH6Zy5cqOjiOS5pKKSsuWmdPg7vzsuVgxs1Vfly7mqCXNpBYRydhsKjDVrVuXdevWcfToUZ599tn7HrNr1y4OHTpE9+7dnyigiIhkEJcumcv6xMWZ/44c6ehEIg7Xt29fTp06hZ+fHx9++CHNmzencOHCjo4lkqqio28XlYKDISrq9r4iRcyiUufOULu2ikoiIpmJTQWmoUOHsmbNGtq1a8fs2bNp3Lhxsv07d+6kR48eZMmShbfeessuQUVEJB2LjTU7sF64ABUrwty5+qtBBHD+d/10wzDo06fPQ4+1WCzEx8enRSwRu7t+Hdatg+XLzd5K0dG39xUtaq770KkT1KkDTk6OyykiIqnHpgJT/fr1mTJlCkOGDMHX1xd3d3csFgsrVqwgODiYa9euYbFY+Pzzz6levbq9M4uISHoTGAg7d0LOnLByJbi7OzqRSLpQtGhRLCq2Sib1zz/mtLdVq2DzZvOzhiTFipmDWV9+2RyppKKSiEjmZ1OBCeDNN9+kdu3afPzxx2zZsgXDMLh+/Tpubm74+vry7rvv0qBBA3tmFRGR9Oirr+DLL80RS4sWmZ1aRQSAM2fOODqCiF2dOgWrV5tFpd27wTBu7ytXziwqdewINWpoIKuIyNPG5gITQJ06dVi1ahWGYXD16lUSEhLImzevdTi4iIhkcrt3w8CB5v0PP4TWrR2bR0RE7CohAX75xSwqrVkDx48n31+zJnToYN4qVFBRSUTkafZEBaYkFouFvHnz2uOlREQko7hw4XZT706d4J13HJ1IJN2LiYnh2rVruLm54enp6eg4Ivd1/Tps2gRr18L69XD58u19WbJAw4bw4ovmzdvbcTlFRCR90WxoERF5fDEx5hyIS5egUiU19RZ5hC+//JJq1aqRI0cOihQpwrBhw6z7vv/+ezp27MipU6ccmFCeZoZhjkz69FNo2hTy5jV7J82fbxaXPDzglVfMWdCXL5v9lgYPVnFJRESSS9EIpiZNmtj8BhaLhR9//NHm54uISDpjGDBgAPz8M+TObTbieOYZR6cSSZfi4+Pp0KED69evx9XVlYoVK3LkyJFkx1SoUIFVq1ZRo0YN3n//fQclladNZCRs2mTh66+rEBiYhbvbhZUtC23amLf69cHFxSExRUQkA0lRgWnr1q1YLBaMO7v4pZBWThERyWSmTYNvvjGXBAoKglKlHJ1IJN367LPPWLduHW3btuWrr74if/78ON21nFblypUpUaIEGzZsUIFJUk1CAvz2G4SEwMaNsGsXxMdnAUoA4OZmTn1r1Qr8/LReg4iIPL7H6sFUs2ZNunfvTp06dVIrj4iIpGc//ghDhpj3J00CX1/H5hFJ57799lsKFSpEUFAQ2bJle+BxJUuW5Pjd3ZNFnoBhwOnT5rftkBDYsgWuXUt+TKlSBuXKhdK3rze+vlnIkcMxWUVEJHNIUYHp448/ZuHChezfv58DBw5QqlQpunfvTteuXSldunRqZxQRkfTg9Gno3Nn8GNzfH956y9GJRNK9U6dO0bJly4cWlwDy5s3LlStX0iiVZFbnzsFPP5nFpC1b4OzZ5Ptz5oTGjc3PBlq0AG/veNavP0yrVkU1BU5ERJ5YigpMI0aMYMSIERw5coRvv/2WoKAgRo8ezZgxY6hduzbdu3fnlVde0UpyIiKZVWSkuVzQtWvw3HMwe7aaeoukgJubG1FRUY887uzZs3h4eKRBIslMzpyBbdtu306fTr7fxQWefx6aNzdvzz1nrgKXJC4uTeOKiEgm91hT5CpVqsTEiROZMGECW7duZcGCBaxYsYLBgwczZMgQmjdvTvfu3Wnfvj1Zs2ZNrcwiIpKWEhMhIACOHIGCBWHlStD3eJEUqVy5Mr/++itXr14lT5489z3m7NmzHDhw4IkWVZHMLyHB/Da8c+ft27lzyY9xcoKaNaFJE/NWrx6a9iYiImnmsQpMSSwWC40bN6Zx48bMmDGDNWvWsGDBAjZu3MiGDRsoWrQoZ+5eikJERDKmMWPMopKrq/lv4cKOTiSSYfTp04devXrRvXt3Fi1aRO7cuZPtj4qKom/fvsTGxtK3b18HpZT06No12LsX9uwx//35Z3Mw6Z2yZIFatczm3A0bmgWlnDkdk1dERMSmAtOd3Nzc6NChA66urty4cYMtW7YQHR1tj2wiIuJoS5fC2LHm/VmzQIs8iDyWgIAA1q1bx7JlyyhRogT169cHYPfu3XTq1ImffvqJ8PBwunbtSocOHRycVhwlOhp+/x1++QV+/dW8nTp173Hu7uDjA/Xrm8Wk55/XCCUREUk/nqjAtHPnThYuXMjSpUsJDw/HYrHQrFkzevXqZa98IiLiKAcOmFPjwFw5rmdPh8YRyaiWLFnCpEmT+OSTT1i/fj0AJ0+e5OTJk3h4ePDBBx/w7rvvOjilpJX//Q8OHTK/xSbdjh83ZyPfrWxZs6Dk42PW9ytVAmfntM8sIiKSEo9dYDp+/DgLFixg0aJFnD17FsMwqFatGu+++y5du3alYMGCqZFTRETS0qVLZlPvmzehZUuYONHRiUQyLIvFwogRIxg6dCi//fYbZ86cISEhgSJFivDcc8/h6urq6IiSCuLizFFIR4/C4cNw8KB5++uv+x9fsCDUrm024q5d25z65umZtplFRESeRIoKTBcvXmTx4sUsWLCAgwcPYhgG3t7evP322/j7+1OhQoXUzikiImklJgY6djS7x5YrB4sX6yNzETtwdnamVq1a1KpVy9FRxI6io+HkSfjvf2/fjh6FEycevEpb0aJQo4Z5q1nT/LdQobTNLSIiYm8pKjAVLVoUwzDInTs3/fr1o3v37tYeAiIikokYBvTvb3aVzZULgoPNf0XEJs7OzvTs2ZM5c+Y89Lh+/foxd+5c4uPj0yiZPI7wcAgNNW9//gl//GHeTp26dyW3Oz3zDFSsaE5tq1rVvFWpAnf1ehcREckUUlRgSkxMxGKx4OHhwfbt29m+fXuK38BisXD06FGbA4qISBr65BOYP99c6/r776FMGUcnEsnQDMPAMIwUHytp78YNuHABLl40i0Vnzjixa1dlvv7amXPnzKJSRMTDXyNvXnPAZ/ny5r/PPmvevL3BYkmb8xAREXG0FPdgMgyD0NDQx34Di36qiohkDMHB8Pbb5v2pU6F5c8fmEXmKRERE4Obm5ugYGZphwK1bcP26WRAKD4dr127frlyBy5chLMy8/fOPWVSKjLz7lZyBkve8fv78ULw4lC59+1amjPlv3rxpcIIiIiLpXIoKTLYUlkREJAM5fBi6dr09RW7QIEcnEsmwzp49m+xxVFTUPduSxMfHc+LECTZt2kSpUqXSIl6m06ABHDtmFpZsnWGYI4fZA6lwYShSJJGYmD9o1KgUxYs7U6KEWVjKnt2usUVERDKdFBWYihUrlto5RETEUcLCoF07iIqCJk1g2jTN6RB5AsWLF082gnv58uUsX778oc8xDIN+/fqldrRMKSLCHKGUxGIxex95et57K1DAHImUL5/5b6FC4OUF7u63nx8Xl8D69cdp1aoELi5a4EBERCSlUjxFTkREMqGkFePOnDHneSxdCi4ujk4lkqG98MIL1gLTtm3byJ8/P+XLl7/vsa6urnh5edGuXTs6dOiQljEzjcWLzbZxOXOatxw5zMciIiKStlJUYIqPjydLlievRdnrdURExA6SpsPt2gUeHmYPJk9PR6cSyfC2bt1qve/k5ISfnx/ffPON4wJlcs8+6+gEIiIiApCiz3fKlCnDV199ZfPSuXFxccycOZPSpUvb9HwREUkFEyeaK8Y5O5srxj1ghIWI2C40NJRJkyY5OoaIiIhIqktRgalEiRL079+fokWLMmTIEPbt2/fI5yQmJrJnzx4GDx5MkSJFGDBggJpXioikFytWwMiR5v3PPwdfX8fmEcmkihUrRp48eayPr169yuHDhzly5AhXr151YDIRERER+0rRfLUtW7awbt063n33XaZOncpnn31Gjhw5qFmzJuXKlSN37ty4u7tz/fp1rl27xn//+18OHDjAzZs3MQyDatWqMW/ePPz8/FL7fERE5FH274fu3c37gwbBgAGOzSPyFJg5cyaff/45J06cSLa9fPnyDB48mNdff91ByURERETsI8UNkVq3bk3r1q3ZtWsXX3/9NRs2bGDbtm1s27btvsfnz5+fzp07069fP3x8fOwWWEREnsD58+aKcTdvQosWMGWKoxOJZGqJiYl07tyZlStXYhgGuXLlsq7Oe/bsWY4fP87AgQPZvHkzS5cuTbb6nIiIiEhG8tgdt+vVq0e9evUAOHHiBIcOHSIsLIyIiAg8PDzInz8/VatWpWzZsnYPKyIiT+DGDbO4dOECVKwIS5aAFl4QSVWzZ89mxYoVlCtXjkmTJtGmTZtk+9etW8fw4cNZuXIls2fPpn///g5KKiIiIvJknugvi3LlylGuXDl7ZRERkdSSkADdusGBA5A3L6xda64cJyKpau7cueTMmZOtW7dSoECBe/a3bt3a2nLgm2++UYFJREREMqwUNfkWEZEMbuRIWL0a3Nxg1SooUcLRiUSeCseOHaNJkyb3LS4lKViwIE2bNuXYsWNpmExERETEvlRgEhHJ7GbPhk8+Me/PnQv/TnMWkfQjtXovxcfH8/7771OiRAmyZctGyZIlGTt2LImJidZjDMNg9OjReHl5kS1bNho1asTRo0eTvU5MTAyDBw8mb9685MiRg3bt2nHu3LlUySwiIiIZkwpMIiKZWUjI7VXixo6FLl0cm0fkKVOuXDl++uknrl69+sBjrly5wpYtW1Kl7cCECROYOXMmX3zxBcePH2fixIlMmjSJadOmWY+ZOHEikydP5osvvuDXX3+lYMGCNG/enMjISOsxgYGBrFy5kqCgIHbu3ElUVBRt2rQhISHB7plFREQkY1KBSUQkszp2DDp1Mvsvde8O77/v6EQiT52AgAAiIiJo1qzZfVfe3bp1K82bN+f69ev07NnT7u+/Z88eXnzxRVq3bk3x4sXp1KkTvr6+7Nu3DzBHL02dOpX33nuPjh07UqlSJebPn090dDSLFi0CICIigjlz5vDpp5/SrFkzqlevzoIFCzh8+DCbN2+2e2YRERHJmFRgEhHJjP75B1q3huvXoUED+Ppr0PLnImluwIAB+Pn5cfDgQZo0aULhwoWpV68e9evXp3DhwjRt2pSDBw/i5+fHgKTRhnZUv359fvzxR06ePAnAwYMH2blzJ61atQIgNDSUS5cu4evra32Om5sbDRs2ZPfu3QDs37+fuLi4ZMd4eXlRqVIl6zEiIiIiWp9aRCSziY6Gtm3hzBkoXRpWrDCbe4tImnN2diY4OJgpU6bw+eef8/fff3Px4kXrfm9vbwYPHsxbb72Fk5P9P/d7++23iYiIoHz58jg7O5OQkMBHH31El3+ny166dAngnibkBQoU4K+//rIe4+rqSu7cue85Jun59xMTE0NMTIz18fXr1wGIi4sjLi7uyU8ulSRlS88Z7UXnmjnpXDMnnWvmlFHONaX5VGASEclMkqbD/foreHrC+vWQN6+jU4k81ZycnBg6dChDhw7l77//5sKFC4A5Cqho0aKp+t5LlixhwYIFLFq0iGeffZbff/+dwMBAvLy8CAgIsB53d5NxwzAe2Xj8UceMHz+eMWPG3LN906ZNZM+e/THPJO2FhIQ4OkKa0blmTjrXzEnnmjml93ONjo5O0XEqMImIZCYjRsDKleDqCqtXQ5kyjk4kIncoWrRoqheV7jR8+HBGjhzJq6++CkDlypX566+/GD9+PAEBARQsWBAwRykVKlTI+rywsDDrqKaCBQsSGxtLeHh4slFMYWFh1K1b94Hv/c477zBkyBDr4+vXr1O0aFF8fX3JmTOnXc/TnuLi4ggJCaF58+a4uLg4Ok6q0rlmTjrXzEnnmjlllHNNGoX8KE9UYNqwYQOzZs3i119/5cqVK3Tv3p05c+ZY94WEhDBs2DC8vLye5G1ERCQlpk+HyZPN+/PmQf36Do0j8rSKj49n9uzZrFq1ir///hs3NzeqVKlC//79qVevXppmiY6OvmfqnbOzM4mJiQCUKFGCggULEhISQvXq1QGIjY1l27ZtTJgwAYCaNWvi4uJCSEgInTt3BuDixYscOXKEiRMnPvC93dzccLvP9FwXF5d0/Ut0koyS0x50rpmTzjVz0rlmTun9XFOazeYC04ABA5g1axaGYeDu7k5cXByGYVj358qVi6lTp1KkSJFkn16JiEgqWLcO3nzTvP/RR/BvfxURSVtJzbC3b9+e7PeiQ4cOsWjRImbMmMFrr72WZnnatm3LRx99hLe3N88++yy//fYbkydPpnfv3oA5NS4wMJBx48ZRpkwZypQpw7hx48iePTtdu3YFwMPDgz59+jB06FDy5MmDp6cnw4YNo3LlyjRr1izNzkVERETSN5u6SX7zzTfMnDmT2rVr8/vvvxMREXHPMT4+PhQuXJjg4OAnDikiIg+xfz907gyJidCnD7zzjqMTiTy1Pv/8c7Zt20bOnDkZM2YMa9asYeHChbzyyiskJibyn//856GNse1t2rRpdOrUiQEDBlChQgWGDRtG//79+eCDD6zHjBgxgsDAQAYMGECtWrU4f/48mzZtwt3d3XrMlClTaN++PZ07d6ZevXpkz56d4OBgnJ2d0+xcREREJH2zqcA0a9YsPD09Wbt2LVWqVHngcaVLl+b06dOP/frbt2+nbdu2eHl5YbFYWLVqVbL9PXv2xGKxJLvVqVMn2TExMTEMHjyYvHnzkiNHDtq1a8e5c+ceO4uISLp25gy0aWOuHNe8OXz5JTyiMa+IpJ4lS5bg6urKtm3bGDVqFG3atKFLly4sXryYESNGEBsby8qVK9Msj7u7O1OnTuWvv/7i5s2b/Pnnn3z44Ye4urpaj7FYLIwePZqLFy9y69Yttm3bRqVKlZK9TtasWZk2bRpXr14lOjqa4ODgNO0lJSIiIumfTQWmo0eP4uPjQ548eR56XMGCBQkLC3vs179x4wZVq1bliy++eOAxLVu25OLFi9bb+vXrk+0PDAxk5cqVBAUFsXPnTqKiomjTpg0JCQmPnUdEJF0KD4dWreDSJahSBZYtg3Q8d1vkaXDixAl8fHzu+wHcgAEDMAyD//73vw5IJiIiIpK6bOrB5OTkZG0O+TAXLlwgR44cj/36fn5++Pn5PfQYNzc368ond4uIiGDOnDl899131t4ACxYsoGjRomzevJkWLVo8diYRkXQlJgY6dIDjx6FwYbMHUzpelUnkaREZGUnx4sXvu8/b2xuAqKioNEwkIiIikjZsKjCVL1+effv2ER0dTfbs2e97zNWrV/n999+pWbPmEwV8kK1bt5I/f35y5cpFw4YN+eijj8ifPz8A+/fvtzbZTOLl5UWlSpXYvXv3AwtMMTExxMTEWB8nLcUXFxdHXFxcqpxHakjKmpEyO4quVcroOqVcmlyrxESce/bEads2DHd34levhgIFIAP999HXVMrpWqXcndfKkdfL8ohpqnc2/xYRERHJLGwqMHXr1o233nqLgQMH8tVXX5ElS/KXMQyDN998k6ioKPz9/e0S9E5+fn68/PLLFCtWjNDQUEaNGkWTJk3Yv38/bm5uXLp0CVdXV3Lnzp3seQUKFHhoY83x48czZsyYe7Zv2rTpgYW09CwkJMTRETIMXauU0XVKudS8VhW++46yy5eT6OzM3qFDuXzuHGTQHnP6mko5XauUCwkJITo62mHvHxUVxdmzZ23anzTKSURERCSjsanANGDAAJYvX878+fPZuXOndUTQoUOHGDZsGGvXruXkyZM0adKEgIAAuwYGeOWVV6z3K1WqRK1atShWrBjr1q2jY8eOD3yeYRgP/VTxnXfeYciQIdbH169fp2jRovj6+pIzA009iYuLIyQkhObNm+OifiwPpWuVMrpOKZfa18pp5kycly8HIHHmTJ5Lhe+xaUFfUymna5Vyd16rmzdvOizH8uXLWf7v/6d3s1gsD9xvsViIj49P7XgiIiIiqcKmApOLiws//PADw4YNY86cOcyYMQOAAwcOcODAAZydnenTpw+ff/45Tk42hOsIxwAAIABJREFU9RF/LIUKFaJYsWKcOnUKMJuLx8bGEh4enmwUU1hYGHXr1n3g67i5ueHm5nbPdhcXlwz5S31Gze0IulYpo+uUcqlyrVavhsBA8/7YsWTp29e+r+8A+ppKOV2rlHNxcXFYocbb2/uRU+REREREMiObCkwA2bNnZ8aMGYwZM4Zt27Zx5swZEhISKFKkCI0bN8bLy8ueOR/q6tWr/P333xQqVAiAmjVr4uLiQkhICJ07dwbg4sWLHDlyhIkTJ6ZZLhERu9mzB159FRIToV8/eP99RycSkfs4c+aMoyOIiIiIOIRNBaY1a9bg4uKCn58f+fLlo1OnTnYNFRUVxR9//GF9HBoayu+//46npyeenp6MHj2al156iUKFCnHmzBneffdd8ubNS4cOHQDw8PCgT58+DB06lDx58uDp6cmwYcOoXLmydVU5EZEM4+RJaNsWbt2C1q1hxgzQCAkREREREUlHbCowdejQAV9fX/z8/OydB4B9+/bRuHFj6+OkvkgBAQF8+eWXHD58mG+//Zb//e9/FCpUiMaNG7NkyRLc3d2tz5kyZQpZsmShc+fO3Lx5k6ZNmzJv3jycnZ1TJbOISKq4dAlatoSrV+G552DJEshi8+BTERERERGRVGHTXyn58uW7Z4U2e2rUqNFDl/DduHHjI18ja9asTJs2jWnTptkzmohI2omMNEcshYZCyZKwdi3kyOHoVCIiIiIiIvewqQN3o0aN+OWXXx5aBBIRkScQGwsvvQQHDkC+fLBxI+TP7+hUIiIiIiIi92VTgemDDz7gypUrvPXWW9y6dcvemUREnm6JidC7N4SEmCOW1q2D0qUdnUpEREREROSBbJoit3jxYlq1asW0adMICgqiWbNmeHt7kzVr1nuOtVgsjBo16omDiog8NUaOhIULzV5Ly5aZvZdERERERETSMZsKTKNHj8ZisWAYBmFhYSxatOiBx6rAJCLyGD77DCZNMu/PmWM2+BYREREREUnnbCowzZ071945REQkKAgCA83748dDjx6OzSMiIiIiIpJCNhWYAgIC7J1DROTpFhJyu6A0eDC8/bZj84iIiIiIiDwGmwpMIiJiR7/+Ch06QFwcvPIKTJ0KFoujU4mIDcaOHWvzc9VWQERERDIyFZhERBzp5Elo1Qpu3IBmzWD+fHCyaYFPEUkH7uxT+bhUYBIREZGMzKYCU8mSJVN8rMVi4c8//7TlbUREMreLF6FFC7hyBWrWhBUrwM3N0alE5AmoT6WIiIg8rWwqMJ05c8bOMUREnjLh4eYKcWfOQOnSsH49uLs7OpWIPCH1qRQREZGnlU3zMBITE+97S0hI4MyZM8yaNYsCBQowfPhwEhMT7Z1ZRCRji46Gtm3h0CEoWBA2boT8+R2dSkRERERExGZ27cFksVjw9vamX79+1KxZk7p161K6dGn69etnz7cREcm44uKgc2fYtQs8PMzi0mNMOxYREREREUmPUq3Jd40aNahduzbTpk1TgUlEBCAxEXr3hnXrIGtWWLsWqlRxdCoRSQM7d+5k9erVnDp1isjIyPs2AbdYLPz4448OSCciIiLy5FJ1Fbl8+fKxb9++1HwLEZGMwTBg6FBYsACcnWHZMqhf39GpRCSVGYZBnz59mD9/vrWodPcqc0mPLRaLo2KKiIiIPLFUWwv72rVr7Nq1i1y5cqXWW4iIZBzjxsHUqeb9efOgdWuHxhGRtDFz5kzmzZtHzZo1CQkJoWPHjgCcOHGCDRs20LNnT5ycnBg+fDinT592cFoRERER29k0gmn79u0P3BcVFcXJkyf58ssvuXz5Mq+//rrN4UREMoUZM+D99837U6ZA9+6OzSMiaWbevHnkyJGDDRs2kCdPHhYsWABAmTJlKFOmDC1atKBVq1a88sor1K1bl2LFijk4sYiIiIhtbCowNWrU6JHDuA3DoGHDhnz88cc2BRMRyRQWLYJBg8z7o0ZBYKBj84hImjp+/Dg+Pj7kyZMHwPr7U0JCAs7OzgB06tSJmjVr8sknn/Diiy86LKuIiIjIk7CpwNSjR48HFphcXV0pVKgQDRs2pHHjxk8UTkQkQ1u7Fnr0MPsvDRoEY8Y4OpGIpLHExETy5s1rfZw9e3YAwsPDk20vU6YM69atS/N8IiIiIvZiU4Fp3rx5do4hIpK5WLZvh5dfhoQE6NYNPvsM1MBX5KlTuHBhzp07Z32cNAXut99+o3nz5tbtJ0+eJEuWVF17RURERCRVpVqTbxGRp5XHH3/g3KED3LoFbdvC3LngpG+3Ik+jGjVqcOzYMeLj4wHw9fXFMAyGDx/O8ePHiYyMZNKkSezfv5/q1as7OK2IiIiI7ez6F098fDyzZs1i0KBBTJw4kYiICHu+vIhI+nfsGD5jxmCJjISGDWHJEnBxcXQqEXGQdu3ace3aNdauXQtA1apVefXVVzl06BCVKlUiV65cjBw5kixZsvDRRx85OK2IiIiI7Wwaiz127FjGjBnDli1baNiwIWA29W7atCk7d+7EMAwsFgtff/01+/btI2fOnHYNLSKSLoWGkqVVKyyRkSTWrInTmjWQLZujU4mIA3Xp0oWOHTsmm/42f/58qlSpwqpVqwgPD6ds2bKMGDGC2rVrOzCpiIiIyJOxaQRTSEgIhQsXthaXAFasWMGOHTuoXLkys2bNokOHDvzxxx9Mnz7dbmFFRNKt8+ehaVMsFy5w3dubhLVrQcV1EQHc3NysK8YBuLi4MHLkSPbu3cuJEycIDg6mQYMGDkwoIiIi8uRsKjCdPn2aChUqJNu2bNkyLBYLQUFB9OvXj6VLl+Lt7c3SpUvtElREJN26cgWaN4fQUIxSpdg9ejT8uyS5iIiIiIjI08CmAtPVq1fJly9fsm07duygbNmylC9fHgCLxUKtWrX466+/njyliEh6FREBLVvC8eNQuDDxGzYQ4+np6FQikk7s3r2b3r17s2fPnkce8/PPP6dhMhERERH7sqnAlC9fPi5fvmx9fPr0aS5cuJBsyhyAq6srsbGxT5ZQRCS9unEDWreG/fshXz7YvBmKF3d0KhFJR6ZPn86SJUvuGfl9pwoVKhAUFMSMGTPSMJmIiIiIfdlUYKpYsSI7duzg77//BuCrr77CYrHQqlWrZMedOXOGQoUKPXlKEZH05tYtaN8edu2CXLlg0yb4dwSniEiSvXv3Ur16dXLlyvXAY3Lnzk2NGjXYtWtXGiYTERERsS+bCkxDhgzh1q1bVKlShRo1ajBhwgRKlChBy5YtrcdERERw4MABqlatarewIiLpQmwsvPyyOWLpmWfghx+gWjVHpxKRdOjChQt4e3s/8jhvb28uXryYBolEREREUodNBaYWLVowY8YMPDw8OHHiBPXr12flypW4urpaj/n222+JjY2ladOmdgsrIuJw8fHQvTusXQtZs5r/Pv+8o1OJSDqVI0cOrly58sjjrly5kuz3KBEREZGMJoutT3z99dd5/fXXH7i/b9++9OjRg2eeecbWtxARSV8SE6FvX1i6FFxcYOVKuKv3nIjInapWrcrOnTs5d+4cRYoUue8x586dY8eOHdSuXTuN04mIiIjYj00jmFIiW7ZseHh44OzsnFpvISKSdgwDBgyA+fPB2Rm+/95cPU5E5CF69+7NrVu3aNu2Lb/99ts9+3/77TfatWtHbGwsvXv3dkBCEREREfuwaQRTdHQ0V65cIU+ePOTIkcO6PSIigo8//pjDhw9TrFgxhg0bRokSJewWVkTEIQwDAgNh1iywWOC778wG3yIij9CtWzdWrVrF8uXLee6556hRowalSpXCYrHwxx9/cODAARITE+nQoQMBAQGOjisiIiJiM5sKTB9++CETJkzg559/platWgDExsbi4+PDiRMnMAwDgOXLl3Pw4EEKFChgv8QiImnJMODtt+Hzz83H33wDXbo4NpOIZChLlixh3LhxTJ48mX379rFv3z7rvly5cvHWW2/x7rvvOjChiIiIyJOzaYrcjz/+SIkSJazFJYBFixbx3//+l8aNG7Nx40YCAwMJCwtjypQpdgsrIpLmRo+GSZPM+zNnQs+ejkwjIhmQk5MT77//Pv/88w+7du0iKCiIoKAgdu3axT///MOoUaPUUkBEREQyPJtGMJ09e5bq1asn27Zq1SqcnJyYN28eRYoUoXnz5mzYsIF169bx8ccf2yWsiEiaGj8exo4170+dCv37OzaPiGRoLi4u+Pj44OPj4+goIiIiInZn0wim8PBwcufOnWzb7t27qVy5crIVUqpUqcLff//9ZAlFRBzhk08gacrKhAnwn/84No+IiIiIiEg6ZtMIpoIFC3LhwgXr46NHj3LlyhW6du2a7DiLxfJk6UREHGHqVBg+3Lw/diyMGOHYPCKSYYwdOxaLxcLAgQPx9PRkbNIoyBSwWCyMGjUqFdOJiIiIpB6bCkzVq1dn3bp1/P7771SrVo0pU6ZgsVho06ZNsuNOnTqFl5eXXYKKiKSJ6dPhrbfM+6NGmTcRkRQaPXo0FouFV155BU9PT+vjpAVQHkYFJhEREcnIbCowjRw5kuDgYGrVqoWHhwfh4eFUq1aNJk2aWI8JCwvj4MGDdNFqSyKSUcycCYMGmfffeQfGjHFsHhHJcObOnQtAoUKFkj0WERERyexsKjA9//zzrF69mkmTJnH58mVat27NuHHjcHK63dJp0aJFuLu707JlS7uFFRFJNV9/DW+8Yd4fPhw++gg0zVdEHlNAQMBDH4uIiIhkVjYVmABat25N69atH7g/MDCQwMBAW19eRCTtfPMNvPaaeT8w0GzqreKSiIiIiIhIitm0ipyISKYxdy707QuGAYMHw+TJKi6JiIiIiIg8picqMF25coWpU6fSrVs3WrRowcSJE637jhw5wpo1a4iOjn7ikCIiqWLePOjTxywuDRoEn32m4pKI2N3ly5cZM2YMTZo0oUKFCpQsWfK+t1KlSqXK+58/f57u3buTJ08esmfPTrVq1di/f791v2EYjB49Gi8vL7Jly0ajRo04evRosteIiYlh8ODB5M2blxw5ctCuXTvOnTuXKnlFREQkY7J5ilxQUBCvvfYaN27cwDAMLBYLhQsXtu4/deoUnTp1Yt68efj7+9slrIiI3cyfD717m8WlgQPh889VXBIRuzt8+DBNmjTh2rVrKVpJzt7Cw8OpV68ejRs3ZsOGDeTPn58///yTXLlyWY+ZOHEikydPZt68eZQtW5YPP/yQ5s2bc+LECdzd3QGz9UFwcDBBQUHkyZOHoUOH0qZNG/bv34+zs3Oan5eIiIikPzaNYNqxYwfdu3fHzc2NKVOm8Ouvv97zS1ObNm3w8PBgxYoVdgkqImI38+dDr15mcWnAAJg2TcUlEUkVgYGBXL16FX9/fw4ePEhUVBSJiYkPvNnbhAkTKFq0KHPnzqV27doUL16cpk2bWkdLGYbB1KlTee+99+jYsSOVKlVi/vz5REdHs2jRIgAiIiKYM2cOn376Kc2aNaN69eosWLCAw4cPs3nzZrtnFhERkYzJpgLT/2fv7uNsrvP/jz/OzBxnLsyMuTJjGJIGMZIfrYsuKGZ0gcqWdrtQ1m5aSUJKane0lrAbG7EpRal0RWWjjC3kK6VJG0JCLjJjGGOuzZyZ+fz++JjDYDhz+Zk587zv7dzO+bzP+5zzer+N7XjO+/P+TJs2Dbvdzpo1axg9ejRdu3Y9p4/dbqd9+/bnLLEWEbHUokWnw6U//xnmzlW4JCI1ZtOmTVxxxRUsWrSITp064e/vX6uf//HHH9OtWzfuvPNOmjZtSpcuXXj55Zddz+/bt4/U1FQSEhJcbQ6Hg969e7Nx40YAkpOTcTqdZfpER0cTFxfn6iMiIiJSqVPkNm3aRI8ePejcufMF+8XExLB169ZKFSYiUu1effX0ht4PPaRwSURqXOPGjYmNjbXs8/fu3cv8+fMZO3YsTz31FN988w2jR4/G4XAwdOhQUlNTAYiMjCzzusjISPbv3w9AamoqjRo1IiQk5Jw+pa8/n4KCAgoKClzHWVlZADidTpxOZ7WMryaU1laXa6wuGqtn0lg9k8bqmerLWN2tr1IBU35+PmFhYRftl5WVhU3/eBORuuDll+HBB83HDz+s0+JEpFbccMMNfPvtt5Z9fklJCd26dWPq1KkAdOnShe3btzN//nyGDh3q6nf297XS/TUv5GJ9pk2bxuTJk89pX716da2v5KqMpKQkq0uoNRqrZ9JYPZPG6pnq+ljdvXhbpQKmVq1a8cMPP1ywT1FRET/88AOXXXZZZT5CRKT6vPSSuWIJYPRomD1b4ZKI1IopU6bQs2dPJkyYwHPPPYeXV5Uu4FthzZo1o0OHDmXaLr/8cj744AMAoqKiAHOVUrNmzVx90tLSXKuaoqKiKCwsJCMjo8wqprS0NHr16lXuZ0+cOJGxY8e6jrOysoiJiSEhIYGgoKCqD66GOJ1OkpKSiI+Px263W11OjdJYPZPG6pk0Vs9UX8Zaugr5YioVMA0YMIBZs2bx4osv8vDDD5+3z/PPP09qaioPlf6jTkTECvPnmxt5Azz2GPzznwqXRKTWtGnTho0bN3Lrrbfy4Ycf0qdPH5o3b37elT82m41nnnmmWj//6quvZteuXWXafvrpJ1q1agVA69atiYqKIikpiS5dugBQWFjIunXrmD59OgBdu3bFbreTlJTEkCFDAEhJSWHbtm3MmDGj3M92OBw4HI5z2u12e53+El2qvtRZHTRWz6SxeiaN1TPV9bG6W1ulAqYnn3ySpUuXMnr0aDZt2sStt94KmL/J+s9//sOHH37IokWLaNmyJaNHj67MR4iIVN0LL8Cjj5qPx42DmTMVLolIrXI6nfz9739n586dGIbBzz//XG7fmgiYHnvsMXr16sXUqVMZMmQI33zzDQsWLGDBggWuzxwzZgxTp04lNjaW2NhYpk6dir+/P3fffTcAwcHBDB8+nHHjxhEWFkZoaCjjx4+nU6dO9OvXr1rrFRERkfqrUgFTeHg4a9as4c477+TNN990XcZ21apVrFq1CsMwaN++PcuXLyc4OLhaCxYRccs//gGPP24+njABnntO4ZKI1Lqnn36axYsXExkZyT333MOll15KQEBArX3+VVddxfLly5k4cSLPPvssrVu3Zvbs2dxzzz2uPhMmTCA/P5+RI0eSkZFB9+7dWb16NYGBga4+s2bNwsfHhyFDhpCfn0/fvn1ZtGgR3t7etTYWERERqdsqFTABtG/fnv/97398/PHHrFmzhl9++YXi4mJatGhBv379uOOOO/SlQ0Ss8fe/w9NPm4+feQYmT1a4JCKWePPNN4mIiOB///sfTZs2taSGAQMGMGDAgHKft9lsJCYmkpiYWG4fX19f5syZw5w5c2qgQhEREfEElQqYSq8OFxgYyG233cZtt91W3XWJiFScYUBiIjz7rHn87LNmwCQiYpGMjAxuvPFGy8IlERERkdpSqUuZNGnShISEhOquRUSk8gwDnnrqdLg0fbrCJRGxXMeOHTly5IjVZYiIiIjUuEoFTMHBwVx66aXVXYuISOUYhnmFuOeeM49nzTL3XRIRsdi4ceP45ptv2Lhxo9WliIiIiNSoSp0i16VLF/bs2VPdtYiIVFxJCfz5z3Dqiki8+CKMHGltTSIip/Ts2ZNRo0Zx8803M3bsWPr160fz5s2xlbMvXMuWLWu5QhEREZHqUamA6YknnuDmm2/m/fff54477qjumkRE3FNUBH/4A7zxBnh5wSuvwLBhVlclIuJyySWXYLPZMAyDyZMnM3ny5HL72mw2ioqKarE6ERERkepTqYDJz8+PP/7xj9x1110MGDCAgQMH0rJlS3x9fc/b/7rrrqvQ+69fv56ZM2eSnJxMSkoKy5cvL7OReOmXtAULFrgup/viiy/SsWNHV5+CggLGjx/P22+/7bqc7rx582jRokVlhiwidU1hIdx7L7z3Hnh7w5Il8LvfWV2ViEgZ1113XbmrlUREREQ8SaUCpj59+rh+G7dixQr+85//XLB/cXFxhd4/NzeXzp07M2zYMH7729+e8/yMGTN4/vnnWbRoEW3btmXKlCnEx8eza9cuAgMDARgzZgwrVqxg6dKlhIWFMW7cOAYMGEBycjLe3t4VqkdE6piTJ2HIEFixAux2ePdd0NUsRaQOWrt2rdUliIiIiNSKSgVMQ4cOrdHfxt10003cdNNN533OMAxmz57NpEmTGDx4MACLFy8mMjKSt956ixEjRpCZmcnChQt544036NevHwBLliwhJiaGNWvW0L9//xqrXURqWE6OGSb997/g6wvLl8ONN1pdlYiIiIiISINWqYBp0aJF1VyG+/bt20dqaioJCQmuNofDQe/evdm4cSMjRowgOTkZp9NZpk90dDRxcXFs3Lix3ICpoKCAgoIC13FWVhYATqcTp9NZQyOqfqW11qearaK5ck+dmacTJ/AeNAivTZswGjemePlyjN69weq6zlBn5qqO0zy5T3PlvjPnqq7O1+7duzl27BhhYWG0bdvW6nJEREREqk2lAiYrpaamAhAZGVmmPTIykv3797v6NGrUiJCQkHP6lL7+fKZNm3bezTdXr16Nv79/VUuvdUlJSVaXUG9ortxj5Tw1ysykZ2IiTfbto7BxYzb95S9k5ObCypWW1XQh+plyj+bJfZor9yUlJZGXl2d1GS75+fkkJibyyiuvcOLECQDuv/9+Xn31VQBee+015syZw6uvvsqVV15pZakiIiIilVahgGnlypV8+OGHHDx4EIfDwRVXXMGwYcNo3bp1TdVXrrNP0TMM46Kn7V2sz8SJExk7dqzrOCsri5iYGBISEggKCqpawbXI6XSSlJREfHw8drvd6nLqNM2Veyyfp19/xefGG7Ht24fRtCm2lSvpecUVtV+HGyyfq3pC8+Q+zZX7zpyr/Px8q8sBzH0lr7/+epKTk4mMjOSWW245Z+/K6667juHDh/POO+8oYBIREZF6y+2A6Z577mHp0qWAGdQArFixgn/84x8sXbqUQYMG1UyFZ4mKigLMVUrNmjVztaelpblWNUVFRVFYWEhGRkaZVUxpaWn06tWr3Pd2OBw4HI5z2u12e738Ul9f67aC5so9lszTnj0QHw/79kFMDLY1a7DXg9NK9DPlHs2T+zRX7rPb7RQVFVldBgDTp0/n22+/5cEHH+Rf//oXDocDLy+vMn3atGlD+/btWbNmDdOmTbOoUhEREZGq8bp4F1i4cCFvv/023t7ePPDAA7zwwgv8/e9/p0ePHpw8eZKhQ4eSmZlZ07UC0Lp1a6KiosqcKlBYWMi6detc4VHXrl2x2+1l+qSkpLBt27YLBkwiUsds2wbXXGOGS23awJdfQj0Il0RESr3zzjtccsklvPjii+f9JVapVq1acejQoVqsTERERKR6ubWCafHixXh5ebFq1Sr69u3rap84cSLDhg3j9ddfZ9myZQwbNqxaisrJyeHnn392He/bt4/vv/+e0NBQWrZsyZgxY5g6dSqxsbHExsYydepU/P39ufvuuwEIDg5m+PDhjBs3jrCwMEJDQxk/fjydOnVyXVVOROq4TZvg5pshIwM6dYLVq+HUCkYRkfriwIEDDBgwAG9v7wv2CwoKIiMjo5aqEhEREal+bgVMW7dupUePHmXCpVJPPfUUixcvZuvWrdVW1Lfffsv111/vOi7dF+n+++9n0aJFTJgwgfz8fEaOHElGRgbdu3dn9erVBAYGul4za9YsfHx8GDJkCPn5+fTt25dFixZd9AueiNQBa9bAbbdBbi707AmffAJnbdovIlIfBAQEcOzYsYv227dvH2FhYbVQkYiIiEjNcCtgysrKok2bNud9rrQ9Kyur2orq06ePa5+n87HZbCQmJpKYmFhuH19fX+bMmcOcOXOqrS4RqQXLl8PvfgeFhebeS8uXQ0CA1VWJiFRK165d2bBhAwcPHiQmJua8fbZv386WLVu49dZba7k6ERERkerj1h5MhmGUu/KndKPKkpKS6qtKRBqm116DO+4ww6XBg2HFCoVLIlKvjRo1ivz8fAYPHlzm9P9S+/fvZ+jQoZSUlDBq1CgLKhQRERGpHm4FTCIiNW7mTPjDH6CkBIYNg3fegQtsiCsiUh8MHDiQxx57jOTkZNq1a0dcXBw2m43Vq1fTrVs3YmNj2bJlCxMmTKBPnz5WlysiIiJSaW4HTIsXL8bb2/u8N5vNVu7zPj5unYUnIg2VYcCECeYN4PHHYeFC0P93iIiH+Oc//8nSpUvp1KkTP/74I4ZhcPjwYb777jvatGnDG2+8wbRp06wuU0RERKRK3P4X3IX2RKqJ14lIA1BUBA8+aJ4aBzBjhhkwiYh4mCFDhjBkyBCOHj3K/v37KS4upkWLFjRv3tzq0kRERESqhVsBk/ZXEpFqd/KkuZn3Rx+Blxe88op5apyIiAeLiIggIiLC6jJEREREqp3OQRGR2nfiBAwaBF9+ae6z9M47oKsniYiIiIiI1FsKmESkdh0+DDfeCFu3QlAQfPwx9O5tdVUiIjUmLS2NefPmsX79elJSUigoKDhvP5vNxp49e2q5OhEREZHqoYBJRGrPrl3Qvz/s3w9RUfDZZ3DFFVZXJSJSY3bs2EHv3r1JT0/XvpQiIiLi0dy+ipyISJV8/TVcfbUZLsXGwsaNCpdExOM9/vjjHDt2jMGDB5OcnEx2djYlJSXl3kRERETqK61gEpGat2oV3HEH5OXBVVfBJ5+ANrkVkQbgyy+/pF27drz77rvYbDaryxERERGpMVrBJCI169VXYeBAM1xKSIDPP1e4JCINhmEYdOrUSeGSiIiIeDwFTCJSMwwD/vY3GD4ciovhvvtgxQpo3NjqykREak23bt34+eefrS5DREREpMYpYBKR6ldUBA89BH/5i3k8cSIsXgyNGllbl4hILUtMTGTr1q28++67VpciIiIiUqO0B5PgT9OFAAAgAElEQVSIVK+8PPj97+Hjj8FmgxdegFGjrK5KRKRWrF+//py2Rx99lHvuuYeVK1cSHx9PixYtyj1l7rrrrqvpEkVERERqhAImEak+R4+a+y19/TU4HPDWWzB4sNVViYjUmj59+pw3PDIMg9dff5033njjgq8vLi6uqdJEREREapQCJhGpHrt3w003wZ49EBICH30E115rdVUiIrVq6NCh2tBbREREGiQFTCJSdV99Za5cSk+HSy6BVaugfXurqxIRqXWLFi2yugQRERERS2iTbxGpmuXL4YYbzHCpWzfYtEnhkoiIiIiISAOjFUwiUnkvvABjxoBhwIABsHQpBARYXZWIiKU+//xzDh06RLdu3ejQocMF+/744498++23xMTEcP3119dShSIiIiLVTwGTiFRccTE89hjMmWMeP/SQ+dhH/5ciIg3bwYMHueWWW4iJiSE5Ofmi/WNiYrj99ts5dOgQu3fvJjo6uhaqFBEREal+OkVORComNxduv/10uDRjBsybp3BJRAR45ZVXKCwsZMaMGQQGBl60f2BgIDNnziQ/P5+FCxfWQoUiIiIiNUMBk4i4LyUFrrsOVqwAX1947z14/HHQFZNERABISkoiIiKC2267ze3XDBo0iMjISFatWlWDlYmIiIjULAVMIuKWwP378bnmGvjuO4iIgM8/hzvusLosEZE6ZefOnVx11VUVfl23bt3YtWtXDVQkIiIiUjt0TouIXJTts8+49sknseXnQ7t2sHIlXHqp1WWJiNQ5ubm5BAcHV/h1wcHB5OTk1EBFIiIiIrVDK5hE5MJefBHvW2/Fnp9PyXXXwcaNCpdERMoREhLCkSNHKvy6I0eOEBISUgMViYiIiNQOBUwicn5FRTB6NIwaha2khAM33EDxypUQGmp1ZSIidVaHDh3YtGkT+fn5br8mLy+Pr776ig4dOtRgZSIiIiI1SwGTiJwrOxtuvdV1pbjiKVPY8sgj0KiRxYWJiNRtAwcOJDc3lylTprj9milTppCfn8/AgQNrsDIRERGRmqWASUTK2r8frr7a3GfJzw/ef5+SCRN0pTgRETeMGDGCqKgonnvuOaZMmUJJSUm5fUtKSvjb3/7Gc889R2RkJCNGjKjFSkVERESqlzb5FpHT/u//4Pbb4ehRiIqCjz+Gq64Cp9PqykRE6gV/f3+WLVtG3759+etf/8rLL7/MnXfeyf/7f/+PiIgIAI4ePcp3333He++9x6FDh/D19eWDDz7A39/f4upFREREKk8Bk4iYXn8d/vQnKCyELl3McKlFC6urEhGpd3r06MFXX33Fvffey7Zt25g1a9Y5fQzDAKBjx44sWbKEzp0713aZIiIiItVKAZNIQ1dSAk89BdOnm8eDB5thU0CAtXWJiNRjV1xxBT/88AOfffYZn3zyCVu2bCE9PR3DMAgPD+fKK6/klltu4cYbb7S6VBEREZFqoYBJpCHLzob77oOPPjKPJ02CZ58FL23PJiJSHfr370///v2tLkNERESkxilgEmmo9u2DQYNg2zZwOGDhQrjnHqurEhERERERkXpIAZNIQ7R2LdxxB6Snm5t5L18OPXpYXZWIiIiIiIjUUzoPRqShmT8f4uPNcKlbN/j2W4VLIiIiIiIiUiUKmEQaisJC+POfYeRIKCqC3/8e1q+H5s2trkxERERERETqOQVMIg1BWhr06wf//jfYbDBtGrz5Jvj5WV2ZiIjUomnTpmGz2RgzZoyrzTAMEhMTiY6Oxs/Pjz59+rB9+/YyrysoKOCRRx4hPDycgIAABg0axKFDh2q7fBEREanDFDCJeLrkZOjaFb78EgIDzSvGPfmkGTSJiEiDsXnzZhYsWMAVV1xRpn3GjBk8//zzzJ07l82bNxMVFUV8fDzZ2dmuPmPGjGH58uUsXbqUDRs2kJOTw4ABAyguLq7tYYiIiEgdpYBJxJO9+SZccw0cOgRt28I338DAgVZXJSIitSwnJ4d77rmHl19+mZCQEFe7YRjMnj2bSZMmMXjwYOLi4li8eDF5eXm89dZbAGRmZrJw4UL++c9/0q9fP7p06cKSJUvYunUra9assWpIIiIiUscoYBLxREVFMH483HsvnDwJN98MX38N7dtbXZmIiFjg4Ycf5pZbbqFfv35l2vft20dqaioJCQmuNofDQe/evdm4cSMAycnJOJ3OMn2io6OJi4tz9RERERHxsboAEalmx47B734H//2veTxpEkyeDN7e1tYlIiKWWLp0Kd999x2bN28+57nU1FQAIiMjy7RHRkayf/9+V59GjRqVWflU2qf09edTUFBAQUGB6zgrKwsAp9OJ0+ms3GBqQWltdbnG6qKxeiaN1TNprJ6pvozV3foUMIl4ku++g9tvhwMHICAAXnsN7rzT6qpERMQiBw8e5NFHH2X16tX4+vqW28921r58hmGc03a2i/WZNm0akydPPqd99erV+Pv7X6Ry6yUlJVldQq3RWD2TxuqZNFbPVNfHmpeX51Y/BUwinuL112HECPOUuMsug+XLIS7O6qpERMRCycnJpKWl0bVrV1dbcXEx69evZ+7cuezatQswVyk1a9bM1SctLc21qikqKorCwkIyMjLKrGJKS0ujV69e5X72xIkTGTt2rOs4KyuLmJgYEhISCAoKqrYxVjen00lSUhLx8fHY7Xary6lRGqtn0lg9k8bqmerLWEtXIV+MAiaR+s7phLFjYe5c8/iWW2DJEmjSxNq6RETEcn379mXr1q1l2oYNG0b79u154oknuPTSS4mKiiIpKYkuXboAUFhYyLp165g+fToAXbt2xW63k5SUxJAhQwBISUlh27ZtzJgxo9zPdjgcOByOc9rtdnud/hJdqr7UWR00Vs+ksXomjdUz1fWxulubAiaR+uzwYfMUuNJNVv/6V/jLX8BL+/eLiAgEBgYSd9Zq1oCAAMLCwlztY8aMYerUqcTGxhIbG8vUqVPx9/fn7rvvBiA4OJjhw4czbtw4wsLCCA0NZfz48XTq1OmcTcNFRESk4VLAJFJfrVsHd90FR45AcLB5itygQVZXJSIi9cyECRPIz89n5MiRZGRk0L17d1avXk1gYKCrz6xZs/Dx8WHIkCHk5+fTt29fFi1ahLcuICEiIiKnKGASqW8MA55/Hp54AoqL4Yor4IMPzH2XRERELmLt2rVljm02G4mJiSQmJpb7Gl9fX+bMmcOcOXNqtjgRERGptxQwidQn2dnwhz/A+++bx/feCy+9BPXgajwiIiIiIiLiuRQwidQX27bBHXfArl1gt8Ps2fDnP8NFLiMtIiIiIiIiUtMUMInUB6+/Dg89BPn50KIFvPce9OhhdVUiIiIiIiIiAOhSUyJ12cmT8OCDcP/9ZriUkABbtihcEhERERERkTpFAZNIXbVnD/TqBS+/bJ4GN3kyrFwJ4eFWVyYiIiIiIiJShk6RE6mLPvjA3Mw7K8sMlN56C+Ljra5KRERERERE5Ly0gkmkLikogNGjzc28s7LMFUxbtihcEhERERERkTpNAZNIXbF3L1xzDcyZYx4/8QSsXWtu6i0iIiIiIiJSh+kUOZG6YNky85S4zEwIDTWvGnfLLVZXJSIiIiIiIuIWrWASsdLJk/Dww/Db35rhUs+e8P33CpdERERERESkXlHAJGKVXbugRw+YN888fvxxWLcOYmKsrUtERERERESkguplwJSYmIjNZitzi4qKcj1vGAaJiYlER0fj5+dHnz592L59u4UVi5xl8WLo2hX+9z+IiIBVq2DGDLDbra5MREREREREpMLqZcAE0LFjR1JSUly3rVu3up6bMWMGzz//PHPnzmXz5s1ERUURHx9Pdna2hRWLANnZMHQoPPAA5ObCDTeYIdONN1pdmYiIiIiIiEil1duAycfHh6ioKNctIiICMFcvzZ49m0mTJjF48GDi4uJYvHgxeXl5vPXWWxZXLQ3a5s3QpQu88QZ4ecGUKbB6NTRrZnVlIiIiIiIiIlVSbwOm3bt3Ex0dTevWrfnd737H3r17Adi3bx+pqakkJCS4+jocDnr37s3GjRutKlcaspISmD4devWCPXugZUtzr6VJk8Db2+rqRERERERERKrMx+oCKqN79+68/vrrtG3bliNHjjBlyhR69erF9u3bSU1NBSAyMrLMayIjI9m/f/8F37egoICCggLXcVZWFgBOpxOn01nNo6g5pbXWp5qtUuNzdfgw3n/4A16ffw5AyW9/S/G8eRASAvXoz0c/U+7TXLlH8+Q+zZX7zpwrzZeIiIhI7aqXAdNNN93ketypUyd69uxJmzZtWLx4MT169ADAZrOVeY1hGOe0nW3atGlMnjz5nPbVq1fj7+9fDZXXrqSkJKtLqDdqYq6ivvmGK+fOxZ6VRZHDwdY//YkDffvCV19V+2fVFv1MuU9z5R7Nk/s0V+5LSkoiLy/P6jJEREREGpR6GTCdLSAggE6dOrF7925uu+02AFJTU2l2xt42aWlp56xqOtvEiRMZO3as6zgrK4uYmBgSEhIICgqqmeJrgNPpJCkpifj4eOy6KtkF1chc5ebiNWEC3i+/DIDRuTPGkiXEtWtHXPV8Qq3Tz5T7NFfu0Ty5T3PlvjPnKj8/3+pyRERERBoUjwiYCgoK2LFjB9deey2tW7cmKiqKpKQkunTpAkBhYSHr1q1j+vTpF3wfh8OBw+E4p91ut9fLL/X1tW4rVNtcJSfD3XfDTz+BzQbjx2P729+wn+fnqj7Sz5T7NFfu0Ty5T3PlPrvdTlFRkdVliIiIiDQo9TJgGj9+PAMHDqRly5akpaUxZcoUsrKyuP/++7HZbIwZM4apU6cSGxtLbGwsU6dOxd/fn7vvvtvq0sVTFRfDzJnwzDNQVATNm8Prr8MNN1hdmYiIiIiIiEiNq5cB06FDh/j973/PsWPHiIiIoEePHmzatIlWrVoBMGHCBPLz8xk5ciQZGRl0796d1atXExgYaHHl4pH27YOhQ2HDBvP4jjvgpZcgNNTaukRERERERERqSb0MmJYuXXrB5202G4mJiSQmJtZOQdIwGQYsWgSjR0NODgQGwgsvwP33m6fHiYiIiIiIiDQQ9TJgErFcWho8+CB89JF5fO21sHgxtG5tbV0iIiIiIiIiFvCyugCReufjj6FTJzNcstth+nT44guFSyIiIiIiItJgaQWTiLtOnIAxY8yVSgBxcbBkCXTubG1dIiIiIiIiIhbTCiYRdyQlmauWFi8291eaMAE2b1a4JCIiIiIiIoJWMIlcWE6OGSbNn28eX3aZGTL16mVtXSIiIiIiIiJ1iFYwiZTniy/giitOh0ujRsH33ytcEhERERERETmLVjCJnC0nB554AubNM49btoSFC6FfP2vrEhEREREREamjFDCJnGntWvjDH2DfPvP4wQdh5kwICrK0LBEREREREZG6TKfIiQBkZcHIkXD99Wa41LKlubH3Sy8pXBIRERERERG5CAVM0uA1TU7Gp0uX03stPfggbN2qU+JERERERERE3KRT5KThOn4c79Gj6fnmm+bxpZfCyy/DDTdYW5eIiIiIiIhIPaMVTNLwGAa8+y506IDXm29i2GwUP/oo/PCDwiURERERERGRStAKJmlYDh0y91pasQIAo317vnzgAXqOHYu33W5xcSIiIiIiIiL1k1YwScNQUgIvvggdOpjhkt0Of/kLRZs3k9G+vdXViYiIiIiIiNRrWsEknm/bNhgxAjZuNI979jT3WurYEZxOa2sTERERERERuYiikiKyC7LJLswmqyCr3McD2w6kc1RnS2pUwCSeKy8PpkyBmTOhqAgaN4bnnoM//xm8tHhPREREREREak5xSTE5hTlmCHQqACq9ZRdkk5GXQXJqMus/X0+eM4+sQrP97P7ZBdnkF+W79ZmRAZEKmESq1WefmXst7d1rHt92G7zwAsTEWFuXiIiIiIiI1GnOYmeZMCizILPMsTu37MJscgpz3PvAVPdrc3g7CHQEEtgokCBHkOtxoCOQoEZBxIbFVm7Q1UABk3iWlBQYOxaWLjWPW7SAOXPMgElEREREREQ8VnFJsWvlT+bJzDLh0NnH53uutO1k0clqrcvHy4dgR7AZAjmCCGwUSLBvMAE+AZxIO0HHNh1p4tfEFRiV9jknQHIE0ci7UbXWVp0UMIlnKCqC+fPh6achK8s8BW70aHj2WQgMtLo6ERERERERuYCikiIyT2ZyLOcYe/P2sm7/OnKLcsksyCTzZGbZ+zMelwZEmQWZ7q8YcpOfjx/BvsEEOYLKBENBjiCCGpnhT7Dj9POlgVBpW2k45Ovji81mO+f9nU4nK1eu5OZ+N2P3gKuaK2CS+u/rr819lbZsMY+vusoMm7p2tbYuERERERGRBqDEKCGnMIcTJ0+QeTLTvC/ILHNc2nZ2YFTanufMK/umP1W+nkbejQh2BLvCoDMfBzUKKtN+Zjh0ZpgU5AjCx0uRSUVotqT+Sk+Hp54yrwhnGNCkCUybBn/6E3h7W12diIiIiIhIvVBcUkxWQZYrCCr3VnBuYFQaIhkY1VKLv90fh+EgMjiSJn5NTodDp4Kh0uPScOh8jx0+jmqpRSpGAZPUP8XF8MorZrh0/LjZNnSoebW4pk2trU1ERERERKSWGYZBrjOXEydPkJGfYd6fzDjvcentzOOsgqxqqaORdyOa+J4OhUofl9t2nsCIEszTxm72jNPGGhIFTFK/fP01PPwwJCebx506wdy5cN111tYlIiIiIiJSBYZhkF2YTUZ+BhknM8rcH809SnJKMqs+XUVmYaYrODqzX1FJUZVr8Lf7E+wIJsQvxBUClQZCIX4hZY5LH5cGRU18m+Dr41vlGpwlziq/h1hDAZPUD0eOmCuWXn3VPA4Kgr/9DUaOBB/9GIuIiIiISN1QUFTA8fzjHM8/TsbJjNOP8zPKtJc+d2ZQVGwUX/jNj1z4aR8vH5r4NiHEN8QVCIX4hpQJg848Lg2SSu91aplUhf5lLnVbYSHMmWNeDS7r1LLN+++H6dMhMtLa2kRERERExGPlO/NJz093hULpeacfu24nj5/Tds5m1RXk8HYQ4hfiColCfM3wJzM1kyvbX0l4QHiZEKk0MArxCyHAHnDeq5WJ1AYFTFJ3rVoFjz0Gu3aZx926wQsvQM+e1tYlIiIiIiL1RlFJUZmAKD0/nfS8dNe9q+2s45NFJyv9mV42L0J8Qwj1CyXE79S971n3Z7SXBkWhfqH42f3OeT/X5eyv075EUncpYJK6Z8cOGDfODJjA3Lj7uefMlUteXtbWJiIiIiIilnEWO0nPT+dY3jFSs1LZeGIjv373KycKT3As75jrudIA6VjeMU6cPFHpz/Px8iHUL9R1C/MLK3Mc4htCmH/YOcdBjiC8bPq3izQsCpik7khPh8REmD/fvFKc3Q6jR8Mzz0BwsNXViYiIiIhINSoxSjhx8gRHc49yLO8YR/PM+/JuR/OOnv9qZ7+493lNfJsQ5hfmCoTC/MJcx6XB0dmPAxsF6pQzETcpYBLrFRbCvHkweTKcOPXbhVtvhZkzITbW2tpERERERMQtRSVFpOelk5abxtG8oxzNPVr2/tTj0rAoPS/94ptan4cNmxkS+YbiXeBNm+g2NA1oSrh/uCsgOvtxiF8IPl76569ITdLfMLGOYcCyZfDEE7Bnj9l2xRUwaxbccIO1tYmIiIiINHClK4zSctPOezuad/T049yjHM8/joFR4c8JcgQR4R9BuH844f7hRAREEO4XXvbYP9y12ijENwRvL+/T+xLdrH2JROoCBUxijU2bzH2WNm40j6Oi4G9/g2HDwNvb2tpERERERDyUs9jJ0byjHMk5wpHcIxzJOUJabhpHcs+6zznC0byjFJUUVej9S1cXRfhHEBEQYd6fehzuH16mvTRAcvg4ami0IlKbFDBJ7dq9G556Ct5/3zz294fHH4fx46FxY2trExER8TDTpk1j2bJl7Ny5Ez8/P3r16sX06dNp166dq49hGEyePJkFCxaQkZFB9+7defHFF+nYsaOrT0FBAePHj+ftt98mPz+fvn37Mm/ePFq0aGHFsETkLMUlxRzNO0pqTiqHThzi8+Ofs/2r7WaQlHs6SErNSSU9P73C7x/kCCIyIJLIxpE0DWhKhH8EkQGRRARE0DSgqastIiCCML8wvL30C2ORhkgBk9SO1FR49llYsMDcwNtmM1crPfssNG9udXUiIiIead26dTz88MNcddVVFBUVMWnSJBISEvjxxx8JCAgAYMaMGTz//PMsWrSItm3bMmXKFOLj49m1axeBgYEAjBkzhhUrVrB06VLCwsIYN24cAwYMIDk5GW+tPBapMTmFOaRkp5Cak0pKzqn77BRSc1NJzUl1HR/NO0qJUVL2xQfKf19vmzcRARGu0CgywAyOSu+bBjQtEyZphZGIuEMBk9SsrCz45z/NW26u2XbLLTBtGnTqZG1tIiIiHu7TTz8tc/zaa6/RtGlTkpOTue666zAMg9mzZzNp0iQGDx4MwOLFi4mMjOStt95ixIgRZGZmsnDhQt544w369esHwJIlS4iJiWHNmjX079+/1sclUp8ZhkF2YTaHsw+Tkp3C4ezD5uOcFFJyUlztKTkp5BTmuP2+NmxEBEQQFRCFV74XcZfE0SywGVGNo1xBUunjMP8wvGxeNThKEWmIFDBJzcjPN68MN20apJ9ahvub38CMGdC7t7W1iYiINFCZmZkAhIaGArBv3z5SU1NJSEhw9XE4HPTu3ZuNGzcyYsQIkpOTcTqdZfpER0cTFxfHxo0byw2YCgoKKCgocB1nZZmXFnc6nTidzmofW3Upra0u11hdNNbqV1BUwOGcw67Q6HCOGRb9mv2rGR6dOs515rr9ngH2AJo1bkZkgBkQld7KHAdEEe4fjo+XD06nk6SkJOLj48vd+Lq4qJhiKn71trpGP8OeSWOte9ytTwGTVC+nExYtgsmT4ddfzbZ27WDKFPjtb81T40RERKTWGYbB2LFjueaaa4iLiwMgNTUVgMjIyDJ9IyMj2b9/v6tPo0aNCAkJOadP6evPZ9q0aUyePPmc9tWrV+Pv71+lsdSGpKQkq0uoNRrrxRmGQV5JHumF6aQ7T9+OOY9x3Hmc9MJ0jjuPk1Wc5fZ7+nv5E2oPJcQeYt77hLiOQ+whrmM/b7+yLywCTpi3Eko4fOp/1TXW+khj9Uwaa92Rl5fnVj8FTFI9iovhrbfMYGnPHrMtJgYSE2HoUPDRj5qIiIiVRo0axQ8//MCGDRvOec521i+ADMM4p+1sF+szceJExo4d6zrOysoiJiaGhIQEgoKCKlh97XFn9Yen0FhPyzyZycGsgxzKPsShrFO37EP8mvWreZ/9q9unqzm8HUQHRhPdONq8P3Vr1rgZ0Y2jaRbYjGaNm9G4Uc1c4EZ/rp5JY/VM9WWspauQL0b/6peqKSmB994zg6SdO822iAiYNAkeeggc2hBQRETEao888ggff/wx69evL3Plt6ioKMBcpdSsWTNXe1pammtVU1RUFIWFhWRkZJRZxZSWlkavXr3K/UyHw4HjPN8D7HZ7nf4SXaq+1FkdPH2sBUUFHMg5wNbsrRzbcYyU3BQOZB7gYNZB8z7zINmF2W69VxPfJsQExdA8qDktAlvQPKg5zQObm8dBLWge2JxQv9CLBrS1wdP/XM+ksXomjbXucLc2BUxSOSUlsGyZuWJp2zazLTQUHn8cRo2CxjXzGxkRERFxn2EYPPLIIyxfvpy1a9fSunXrMs+3bt2aqKgokpKS6NKlCwCFhYWsW7eO6dOnA9C1a1fsdjtJSUkMGTIEgJSUFLZt28aMGTNqd0Ai55F5MpNfTvzC/sz97D+xnwOZB9ifefo+NeeMUzn3lP8+oX6hxATF0CKoBTFBMcQEm49Lb80DmxPQKKDmByQiUk8pYJKKKSmBDz6AZ589HSwFBcG4cTBmjPlYRERE6oSHH36Yt956i48++ojAwEDXnknBwcH4+flhs9kYM2YMU6dOJTY2ltjYWKZOnYq/vz933323q+/w4cMZN24cYWFhhIaGMn78eDp16uS6qpxITTEMgxMnT/DLiV/K3jJ/Yf+J/fxy4hcyCzIv+j5+Pn6EeodyefTltAxuScvglsQEx5j3p0IlhUciIlWjgEncU1QE774LU6fC9u1mW1AQPPYYPPoonLXxp4iIiFhv/vz5APTp06dM+2uvvcYDDzwAwIQJE8jPz2fkyJFkZGTQvXt3Vq9eTWBgoKv/rFmz8PHxYciQIeTn59O3b18WLVqEt7d3bQ1FPFhuYS77TuxjX8a+svcn9vHLiV/IKrj43h/h/uG0Cm5FqyataBXcipbBLU/fN2lFkE8Qq1at4uabb67Tp6GIiNRnCpjkwgoLYckSmDYNfv7ZbAsONlcrKVgSERGp0wzDuGgfm81GYmIiiYmJ5fbx9fVlzpw5zJkzpxqrk4aixCjh16xf2Zux9/TtxOnHablpF32PyIBILmlyCZc0uYRWwa1cjy9pcgktg1tedPVRXb8EuIiIJ1DAJOeXlwevvgozZ8KBA2ZbaKi5YmnUKGjSxNr6RERERKTOKCgq4JcTv/Dz8Z/Zk7GHPcf38HPGz+zN2Mu+jH0UFBdc8PVNfJtwaciltG7S2ryFtOaSJpfQuklrWjVphb/dv5ZGIiIilaWAScrKyIAXX4R//QuOHTPbIiNh/HjzqnDavFtERESkQTpZdJK9GXvZnb6bn4//bN4yzPsDmQcoMUrKfa2Plw+tglvRJrQNlza5lEtDzFvrEDNQCvHTqngRkfpOAZOYDhwwQ6UFCyAnx2xr3dq8KtwDD4Cfn6XliYiIiEjNcxY72XdiHz+l/8Tu9N3sPr7bfHx8NwczD2JQ/mmXAfYALgu9jDahbWgTcup26nFMcAw+Xvqnh4iIJ9P/yzd0338P//gHLF0KxcVmW6dO8OSTMGQI+OhHRERERMSTGIbB4cEJwicAACAASURBVOzDbD+ynU+PfcoXa77g54yf+Sn9J/Zm7KXYKC73tUGOIGJDY7ks9DLXfWmoFBkQic1mq8WRiIhIXaL0oCEqKYFPPoFZs+CLL06333CDuWKpf3/QlwMRERGRei3PmceuY7vYlb7Ldb/z2E5+Sv+JXGfu6Y6Hyr7O3+5PbGgsbcPaEhsaS2xYrOs+wj9CIZKIiJyXAqaGJCcHXn/dPBXup5/MNm9vuPNOc4+lrl2trU9EREREKsQwDNJy09hxbAc7j+103XYc28GBzAPlvs7b5k3rJq1pUtyEq9tfzeURl9M2rC1tw9oSHRitEElERCpMAVND8PPP5sbdr74KWVlmW3AwPPigeUW4li2trU9ERERELqi4pJj9mfvZcXQHO47tOH1/bAcnTp4o93WhfqG0D29P+7D2tAtvR7uwdrQLb8elIZdiK7GxcuVKbu53M3a7vRZHIyIinkgBk6cqLsa2cqW5afeqVWCc2pCxbVszVBo2TFeEExEREaljnMVO9mTs4cejP/Lj0R/ZcWwHPx79kZ3HdnKy6OR5X2PDRuuQ1rQPb8/l4ZebgdKpW7h/ePmfVeKsqWGIiEgDpIDJ0xw5gtcrr9DvhRfwSUs73X7TTTB6NCQkgJeXdfWJiIiICIXFhexO3832o9tdYdKPR3/kp/Sfyg1+HN4O2oW34/Lwy81bhHkfGxaLr49vLY9ARESkLAVMnqCkxNys+6WX4MMP8XY6CQCMkBBsw4bBQw9BbKzVVYqIiIg0OM5iJ7uP72Z72na2Hz11S9vO7uO7KSopOu9rAuwBXB5xOR0iOtAhvAMdIjpwecTltG7SGm8v71oegYiIiHsUMNVnBw/C4sXw2muwd6+rueQ3v+F/3bsTN2UK9qAgCwsUERERaRiKS4rZm7GXbWnb2H50u+t+17Fd5a5ICmwUaIZIp24dIzrSIaIDMcExeNm04lxEROoXBUz1TX4+fPSRGSytXm2uXgIICoJ774UHH6S4QwcOrFxJnJ+ftbWKiIiIeJgSo4QDmQfYnmaGSNuObmN72nZ2HNtR7h5JjRs1dgVIHSM60rGped8iqIWu1iYiIh5DAVN9UFICGzbAkiXw7ruQmXn6ud69Yfhw+O1vwd/fbHNqw0YRERGRqjAMg9ScVDNEOuO2/eh2cgpzzvsaPx8/Lo+4nLimca4wKa5pnFYkiYhIg6CAqa4yDPjhB1i6FN56Cw4cOP1cy5YwdCjcfz9cdpl1NYqIiIh4gIz8DNdpbT+k/sD63esZvms46fnp5+1v97LTPry9K0iKaxpHx6YdtUeSiIg0aAqY6hLDgO3b4b33zJVKO3eefi4oCO64wzwNrndvXQlOREREpILynHnsOLrj9Iqko9vYemQrv2b/et7+NmxcFnoZcU3jXGFSp8hOxIbGYve213L1IiIidZsCJqsZBiQnw/LlsGxZ2VDJ4YBbboHf/Q4GDADtqSQiIiJyUc5iJz+l/1QmSNqWto09x/dgYJz3NS2DW9IxoiOXh19O8eFi7u53N52iOuFn1/cvERERdyhgssLJk/D557BiBfznP3Do0OnnGjWC/v3N1Uq33WauXBIRERGR89qbsZetR7aWCZIudOW2cP9wOjXtRFzTONd9h4gOBPsGA+B0Olm5ciVdorpgt2uVkoiIiLs8PmCaN28eM2fOJCUlhY4dOzJ79myuvfZaa4saNszcW6lUQADcdBPcfru5UkmhkoiIiIhbei3sxZHcI+e0BzYKdJ3adubpbU0DmlpQpYiIiOfz6IDpnXfeYcyYMcybN4+rr76al156iZtuuokff/yRli1bWlfYjTfCl1+aYdLAgXDDDTr9TURERKQSukV349fsX80gKeJ0oNQyuCU2m83q8kRERBoMjw6Ynn/+eYYPH84f//hHAGbPns1nn33G/PnzmTZtmnWF3XOPeRU4fekRERERqZIVv1+hIElERKQO8NiAqbCwkOTkZJ588sky7QkJCWzcuPG8rykoKKCgoMB1nJWVBZjn4jud5z+Pv9KKiqr3/c5QWmu11+yBNFfu0Ty5T3PlHs2T+zRX7jtzrjRfDYfCJRERkbrBYwOmY8eOUVxcTGRkZJn2yMhIUlNTz/uaadOmMXny5HPaV69ejb+/f43UWZOSkpKsLqHe0Fy5R/PkPs2VezRP7tNcuS8pKYm8vDyryxARERFpUDw2YCp19m+1DMMo9zddEydOZOzYsa7jrKwsYmJiSEhIIKgebbztdDpJSkoiPj5eVz+5CM2VezRP7tNcuUfz5D7NlfvOnKv8/HyryxERERFpUDw2YAoPD8fb2/uc1UppaWnnrGoq5XA4cDgc57Tb7fZ6+aW+vtZtBc2VezRP7tNcuUfz5D7NlfvsdjtFNXgquoiIiIicy8vqAmpKo0aN6Nq16zmnFCQlJdGrVy+LqhIRERERERER8Tweu4IJYOzYsdx3331069aNnj17smDBAg4cOMBDDz1kdWkiIiIiIiIiIh7DowOmu+66i/T0dJ599llSUlKIi4tj5cqVtGrVyurSREREREREREQ8hkcHTAAjR45k5MiRVpchIiIiIiIiIuKxPHYPJhERERERERERqR0KmEREREREREREpEoUMImIiIiIiIiISJUoYBIRERERERERkSpRwCQiIiIiIiIiIlWigElERERERERERKpEAZOIiIiIiIiIiFSJAiYREREREREREakSBUwiIiIiIiIiIlIlCphERERERERERKRKFDCJiIiIiIiIiEiVKGASEREREREREZEq8bG6gLrMMAwAsrKyLK6kYpxOJ3l5eWRlZWG3260up07TXLlH8+Q+zZV7NE/u01y578y5ys/PB07/t1ysV1++VzWkv3Maq2fSWD2TxuqZ6stYS//bfbHvVQqYLiA7OxuAmJgYiysRERGRysjOziY4ONjqMgR9rxIREanvLva9ymboV3vlKikp4fDhwwQGBmKz2awux21ZWVnExMRw8OBBgoKCrC6nTtNcuUfz5D7NlXs0T+7TXLnvzLkKDAwkOzub6OhovLy0I0BdUF++VzWkv3Maq2fSWD2TxuqZ6stYDcNw63uVVjBdgJeXFy1atLC6jEoLCgqq0z+kdYnmyj2aJ/dprtyjeXKf5sp9pXOllUt1S337XtWQ/s5prJ5JY/VMGqtnqg9jded7lX6lJyIiIiIiIiIiVaKASUREREREREREqsQ7MTEx0eoipPp5e3vTp08ffHx0FuTFaK7co3lyn+bKPZon92mu3Ke5kurQkH6ONFbPpLF6Jo3VM3nSWLXJt4iIiIiIiIiIVIlOkRMRERERERERkSpRwCQiIiIiIiIiIlWigElERERERERERKpEAVMdtX79egYOHEh0dDQ2m40PP/ywzPOGYZCYmEh0dDR+fn706dOH7du3l+lTUFDAI488Qnh4OAEBAQwaNIhDhw6V6ZORkcF9991HcHAwwcHB3HfffZw4caLGx1edLjZXy5Yto3///oSHh2Oz2fj+++/PeY+GMFcXmien08kTTzxBp06dCAgIIDo6mqFDh3L48OEy79EQ5gku/jOVmJhI+/btCQgIICQkhH79+vH111+X6dMQ5upi83SmESNGYLPZmD17dpn2hjBPcPG5euCBB7DZbGVuPXr0KNOnIcyVOz9TO3bsYNCgQQQHBxMYGEiPHj04cOCA6/mGME9SdfPmzaN169b4+vrStWtXvvzyy3L7Llu2jPj4eCIiIggKCqJnz5589tlntVht1VRkrBs2bODqq68mLCwMPz8/2rdvz6xZs2qx2qqpyFjP9H//93/4+Phw5ZVX1nCF1aciY127du05/42x2Wzs3LmzFiuuvIr+uRYUFDBp0iRatWqFw+GgTZs2vPrqq7VUbdVUZKzn++5gs9no2LFjLVZceRX9c33zzTfp3Lkz/v7+NGvWjGHDhpGenl5L1VZNRcf64osvcvnll+Pn50e7du14/fXXa6nSqlPAVEfl5ubSuXNn5s6de97nZ8yYwfPPP8/cuXPZvHkzUVFRxMfHk52d7eozZswYli9fztKlS9mwYQM5OTkMGDCA4uJiV5+7776b77//nk8//ZRPP/2U77//nvvuu6/Gx1edLjZXubm5XH311Tz33HPlvkdDmKsLzVNeXh7fffcdzzzzDN999x3Lli3jp59+YtCgQWX6NYR5gov/TLVt25a5c+eydetWNmzYwCWXXEJCQgJHjx519WkIc3WxeSr14Ycf8vXXXxMdHX3Ocw1hnsC9ubrxxhtJSUlx3VauXFnm+YYwVxebpz179nDNNdfQvn171q5dy//+9z+eeeYZfH19XX0awjxJ1bzzzjuMGTOGSZMmsWXLFq699lpuuummMkHlmdavX098fDwrV64kOTmZ66+/noEDB7Jly5ZarrziKjrWgIAARo0axfr169mxYwdPP/00Tz/9NAsWLKjlyiuuomMtlZmZydChQ+nbt28tVVp1lR3rrl27yvx3JjY2tpYqrrzKjHXIkCH897//ZeHChezatYu3336b9u3b12LVlVPRsf7rX/8q8+d58OBBQkNDufPOO2u58oqr6Fg3bNjA0KFDGT58ONu3b+e9995j8+bN/PGPf6zlyiuuomOdP38+EydOJDExke3btzN58mQefvhhVqxYUcuVV5IhdR5gLF++3HVcUlJiREVFGc8995yr7eTJk0ZwcLDx73//2zAMwzhx4oRht9uNpUuXuvr8+uuvhpeXl/Hpp58ahmEYP/74owEYmzZtcvX56quvDMDYuXNnTQ+rRpw9V2fat2+fARhbtmwp094Q5+pC81Tqm2++MQBj//79hmE0zHkyDPfmKjMz0wCMNWvWGIbRMOeqvHk6dOiQ0bx5c2Pbtm1Gq1atjFmzZrmea4jzZBjnn6v777/fuPXWW8t9TUOcq/PN01133WXce++95b6mIc6TVNxvfvMb46GHHirT1r59e+PJJ590+z06dOhgTJ48ubpLq3bVMdbbb7/9gn/v6orKjvWuu+4ynn76aeOvf/2r0blz55ossdpUdKxffPGFARgZGRm1UV61quhYV61aZQQHBxvp6em1UV61qurf1+XLlxs2m8345ZdfaqK8alXRsc6cOdO49NJLy7S98MILRosWLWqsxupS0bH27NnTGD9+fJm2Rx991Lj66qtrrMbqpBVM9dC+fftITU0lISHB1eZwOOjduzcbN24EIDk5GafTWaZPdHQ0cXFxrj5fffUVwcHBdO/e3dWnR48eBAcHu/o0BJqr88vMzMRms9GkSRNA81SewsJCFixYQHBwMJ07dwY0V6VKSkq47777ePzxx8+7XFvzVNbatWtp2rQpbdu25U9/+hNpaWmu5zRX5s/TJ598Qtu2benfvz9Nmzale/fuZU6j0zzJxRQWFpKcnFzmZwQgISHB7T//kpISsrOzCQ0NrYkSq011jHXLli1s3LiR3r1710SJ1aayY33ttdfYs2cPf/3rX2u6xGpTlT/XLl260KxZM/r27csXX3xRk2VWi8qM9eOPP6Zbt27MmDGD5s2b07ZtW8aPH09+fn5tlFxp1fH3deHChfTr149WrVrVRInVpjJj7dWrF4cOHWLlypUYhsGRI0d4//33ueWWW2qj5EqrzFgLCgrKrMwG8PPz45v/3959h0VxrX8A/+6ysBRBlLIQUFBQUFHEaFBjBFtQgwUEFYiCnXuNxthLoiTeq9FEJcYWFSxXsJfYY0PUWLCAPUIMJhaIYoVoBOH9/eFvJqy7C1to6vt5Hp8nmTk7854zs5yz78ycSUlBQUFBucVaVjjB9BrKzs4GACgUCqXlCoVCXJednQ0TExPUqFGjxDL29vYq27e3txfLvA24rVT9/fffmDhxIsLDw2FlZQWA2+lVO3fuRLVq1WBqaop58+Zh//79sLW1BcBtJZg1axZkMhlGjhypdj230z+6dOmChIQEHDp0CHPmzMHp06fRvn17PH/+HAC3FQDcvXsXeXl5+Prrr9G5c2fs27cPQUFBCA4ORnJyMgBuJ1a6nJwcFBYWljiGKs2cOXPw119/oXfv3uURYpkxpK7Ozs6Qy+Vo3rw5hg8fXuUfQ9GnrhkZGZg4cSISEhIgk8kqIswyoU9dHR0dsXTpUmzevBlbtmyBh4cHOnTogCNHjlREyHrTp66//fYbjh07hkuXLmHr1q2IjY3Fpk2bMHz48IoIWW+G/m3KysrCnj17qvx3FdCvrq1bt0ZCQgL69OkDExMTODg4wNraGt9//31FhKw3feoaEBCA5cuX4+zZsyAinDlzBvHx8SgoKEBOTk5FhG2Q1+evKVMhkUiU/p+IVJa96tUy6sprs523wdvaVgUFBejbty+KioqwaNGiUsu/re3Url07pKWlIScnB8uWLUPv3r1x6tQptT9cBW9TW509exbfffcdzp07p3N93qZ2EvTp00f8by8vLzRv3hwuLi7YtWsXgoODNX7ubWqroqIiAECPHj3w2WefAQCaNm2K48ePY8mSJSXeYfE2tRPTjj5jKABYu3YtYmJi8OOPP5b4974q0aeuR48eRV5eHk6ePImJEyfC3d0dYWFh5RlmmdC2roWFhQgPD8eXX36J+vXrV1R4ZUqX4+rh4QEPDw/x/1u1aoWbN2/i22+/Rdu2bcs1zrKgS12LioogkUiQkJCA6tWrAwDmzp2LkJAQLFy4EGZmZuUeryH0/du0cuVKWFtbo2fPnuUVWpnTpa5XrlzByJEjMXXqVAQEBCArKwvjxo1DdHQ04uLiKiJcg+hS1y+++ALZ2dlo2bIliAgKhQJRUVGYPXs2jIyMKiJcg/AdTK8hBwcHAFDJet69e1fMjjo4OCA/Px8PHz4sscyff/6psv179+6pZFnfZNxW/ygoKEDv3r2RmZmJ/fv3i3cvAdxOr7KwsIC7uztatmyJuLg4yGQysYPjtnr54+Tu3buoXbs2ZDIZZDIZfv/9d4wZMwaurq4AuJ1K4ujoCBcXF2RkZADgtgIAW1tbyGQyNGzYUGl5gwYNxIkyuZ1YaWxtbWFkZFTiGEqT9evXY9CgQdiwYQM6duxYnmGWCUPqWqdOHTRu3BhDhgzBZ599hpiYmHKM1HC61jU3NxdnzpzBJ598IvZRX331Fc6fPw+ZTIZDhw5VVOg6M+S4FteyZUuxj6mq9Kmro6MjnJycxOQS8LKfICKVN4pWJYYcVyJCfHw8+vXrBxMTk/IMs0zoU9eZM2fi/fffx7hx49CkSRMEBARg0aJFiI+PR1ZWVkWErRd96mpmZob4+Hg8ffoUN27cwB9//AFXV1dYWlqKT0tUZZxgeg3VqVMHDg4O2L9/v7gsPz8fycnJaN26NQDg3XffhbGxsVKZrKwsXLp0SSzTqlUrPH78GCkpKWKZU6dO4fHjx2KZtwG31UtCcikjIwMHDhyAjY2N0npup5IRkfg4E7cV0K9fP1y4cAFpaWniv3feeQfjxo0TX+/N7aTZ/fv3cfPmTTg6OgLgtgIAExMTtGjRAteuXVNanp6eLs43we3ESmNiYoJ3331X6RwBgP3795d4/NeuXYuoqCgkJiZW+Tk/BPrW9VXF+7eqSte6WllZ4eLFi0p9VHR0NDw8PJCWlqY0R1tVU1bHNTU1Vexjqip96vr+++/jzp07yMvLE5elp6dDKpXC2dm5XOM1hCHHNTk5Gb/++isGDRpUniGWGX3q+vTpU0ilyqkL4W4eIiqfQMuAIcfV2NgYzs7OMDIywrp16xAYGKjSBlVSBUwkzvSQm5tLqamplJqaSgBo7ty5lJqaKr7R6+uvv6bq1avTli1b6OLFixQWFkaOjo705MkTcRvR0dHk7OxMBw4coHPnzlH79u3J29ubXrx4IZbp3LkzNWnShE6cOEEnTpygxo0bU2BgYIXX1xCltdX9+/cpNTWVdu3aRQBo3bp1lJqaSllZWeI23oa2KqmdCgoKqHv37uTs7ExpaWmUlZUl/nv+/Lm4jbehnYhKbqu8vDyaNGkSnThxgm7cuEFnz56lQYMGkVwup0uXLonbeBvaqrTv3qtefYsc0dvRTkQlt1Vubi6NGTOGjh8/TpmZmZSUlEStWrUiJyent+5vemnn1JYtW8jY2JiWLl1KGRkZ9P3335ORkREdPXpU3Mbb0E7MMOvWrSNjY2OKi4ujK1eu0KhRo8jCwkJ889LEiROpX79+YvnExESSyWS0cOFCpf7x0aNHlVUFrela1wULFtD27dspPT2d0tPTKT4+nqysrGjKlCmVVQWt6VrXV71Ob5HTta7z5s2jrVu3Unp6Ol26dIkmTpxIAGjz5s2VVQWt6VrX3NxccnZ2ppCQELp8+TIlJydTvXr1aPDgwZVVBa3pew5//PHH5OvrW9HhGkTXuq5YsYJkMhktWrSIrl+/TseOHaPmzZvTe++9V1lV0Jqudb127Rr973//o/T0dDp16hT16dOHatasSZmZmZVUA91wgqmKEl4n+uq/yMhIIiIqKiqiadOmkYODA8nlcmrbti1dvHhRaRvPnj2jTz75hGrWrElmZmYUGBhIf/zxh1KZ+/fvU0REBFlaWpKlpSVFRES8dq8wLa2tVqxYoXb9tGnTxG28DW1VUjtlZmaqXQeAkpKSxG28De1EVHJbPXv2jIKCguidd94hExMTcnR0pO7du1NKSorSNt6Gtirtu/cqdQmmt6GdiEpuq6dPn9KHH35IdnZ2ZGxsTLVr16bIyEiVdngb2kqbcyouLo7c3d3J1NSUvL29adu2bUrbeBvaiRlu4cKF5OLiQiYmJtSsWTNKTk4W10VGRpKfn5/4/35+fjr9ratqdKnr/PnzqVGjRmRubk5WVlbk4+NDixYtosLCwkqIXHe61PVVr1OCiUi3us6aNYvc3NzI1NSUatSoQW3atKFdu3ZVQtT60fW4Xr16lTp27EhmZmbk7OxMo0ePpqdPn1Zw1PrRta6PHj0iMzMzWrp0aQVHajhd6zp//nxq2LAhmZmZkaOjI0VERNCtW7cqOGr96FLXK1euUNOmTcnMzIysrKyoR48e9Msvv1RC1PqREFXhe8oYY4wxxhhjjDHGWJX3GjzExxhjjDHGGGOMMcaqMk4wMcYYY4wxxhhjjDGDcIKJMcYYY4wxxhhjjBmEE0yMMcYYY4wxxhhjzCCcYGKMMcYYY4wxxhhjBuEEE2OMMcYYY4wxxhgzCCeYGGOMMcYYY4wxxphBOMHEGGOMMcYYY4wxxgzCCSZWJiQSCSQSCWrUqIFHjx6pLRMTEwOJRIKvv/66gqN7M129ehUjR46El5cXqlevDrlcDicnJ3Tv3h2rV69Gfn6+UnmJRAJXV9fKCdYA/v7+kEgkuHHjRpXe7+HDh8XvgfBPJpPBwcEBPXr0QFJSUvkGXMW4urpCIpEYvB2hXaOionT+7JEjRyCRSPDDDz8oLY+KihKP0bBhwzR+Pj8/HzVq1BDLHj58WOcYBL1794ZEIsH06dO1jrtWrVooKioCEcHHxwdNmjRBUVGR3jEwxlhV8rqPHQ3pnyqS0B8XH5vUrFkTnp6eCA8Px6pVq/D3339Xdphau3HjBiQSCfz9/Ss7FADAgAEDYGlpiZycHJV18+fPR6NGjSCXy6tUzCVJTU2FRCLBN998U9mhsNcUJ5hYmXr06BHmzZtX2WGoVVmJivIwbdo0NG7cGN9//z1yc3PRrl07BAcHo06dOti7dy8iIyPRsGHDyg7zraRQKBAZGYnIyEiEhITA2toa27dvR4cOHbB48WKDtl1VBlVVJY6SEBHGjRuH2rVrY8CAARrLbdy4USUZK9i5c6fGHz266tevHwAgISGh1LJCmYiICEilUkgkEkydOhUXL17EypUryyQexhirKqry2PFN0qtXL0RGRiIiIgJ+fn4wNTXFhg0bEBUVBVdXV+zZs6eyQzTIypUrIZFIEBMTU2H7vHjxIlavXo3hw4fD1tZWad2WLVvw6aefIisrC927d0dkZCQ6d+5cYbGpk5OTg2bNmsHd3R1169aFq6srxo0bpzQO8vHxQffu3TFjxgw8ePCgEqNlrytZZQfA3hxSqRQymQyxsbEYNWoUatSoUdkhvZE+//xz/Pe//4VCoUB8fDy6du2qtP7hw4f49ttv35grD6tXr8bTp0/h5ORU2aFoxdPTUykJQET46quvEBMTgzFjxqBXr16wt7evvAAryMGDB1FQUFBp+9+2bRtSUlIQGxsLExMTtWV8fHyQmpqK3bt3o2fPnirr16xZAyMjI3h5eeH8+fMGxdO5c2fY2tri2rVrOHPmDJo3b662XH5+PjZu3AgA+Pjjj8XlPXv2hKenJ6ZOnYr+/ftDJuPumzH2+uOxY8X59ttvVe5kz87Oxn/+8x8sXLgQgYGB2LVrV6UnQUrj5OSEq1evwtzcvLJDweeffw4jIyOMGTNGZd22bdsAAJs2bUL79u0rOjS1rKyssGvXLjg6OgIA0tPT4e3tDWtra0yZMkUsN2nSJGzfvh2zZs3CrFmzKitc9priO5hYmTE2NsbgwYPx5MkTzJ07t7LDeSOdPn0aM2bMgJmZGZKSklSSSwBQo0YN/Pe//8WhQ4cqIcKyV7t2bXh6esLY2LiyQ9GLRCLBF198ATc3Nzx79gz79u2r7JAqhJubGzw9PStt/4sWLYJMJkN4eLjGMuHh4ZBKpWrvKnr06BF2796NDh06wMHBweB4jI2N0bdvXwAl38W0e/duPHz4EE2bNoWXl5e4XCKRICIiArdv38b27dsNjocxxqoCHjtWLgcHByxYsADTp09HUVERBgwYgOfPn1d2WCUyNjaGp6cnateuXalx3Lx5Ezt37kSXLl1gZ2ensv7WrVsAgLp161Z0aBqZmJiIySUAyM3NVfvofcuWLeHu7o74+HiNd3kzpgknmFiZmjx5MuRyOb777judbqskIqxatQpt27aFtbU1zMzM0KRJE3z77bdq74IoaT6hV2+RFR7nw23wqAAAHFlJREFUSU5OBgDUqVNH6Vl0gTAvy+HDh/HTTz+hXbt2sLa2hkQiUXpM5sqVK4iIiICjoyNMTEzg5OSE/v3749q1ayqxFH8+/8GDB/jXv/4FR0dHyOVyeHl5IT4+Xus2AoA5c+aAiDBy5Eg0aNCgxLJt2rRRu7ywsBCzZ89G/fr1IZfLUatWLUyYMEHjgCIvLw9fffUVGjduDHNzc1hZWcHPz0+8MlNc8Uen/vrrL4wePRq1atWCmZkZmjVrhh07dohlN27ciPfeew8WFhZQKBQYOXIknj17prLNkh5tzMnJwaRJk+Dl5QULCwtYW1ujadOmmDJlCu7fvy+Wy8rKwuzZs+Hn5wcnJyeYmJjAwcEBwcHBOH36dIntWBakUim8vb0BvByQFHfz5k0MGzYMLi4ukMvlsLe3VxtXTEwM6tSpAwBITk5WOodfnf/h3r17GDt2LDw8PGBqaooaNWqgS5cuOHLkiEpsup6j2sahaQ6mXbt2YeDAgWjQoAGsrKxgYWEBb29vzJgxo8wGtZmZmTh48CA6deqkdtAncHZ2hp+fH3bu3InHjx8rrduwYQOeP3+udBeROrp8P4TH5NatW4fCwkK121uzZg0AqN2vkCxbtmxZiTExxtjrRJ+xY0ljA02PcQvzOa1cuRJnz55Fly5dYG1tjZo1a6J3795iQuCvv/7CuHHj4OrqClNTU3h5eWHTpk0lxpOVlYWoqCgoFApxzLN69WqN5fXtp7OzszF48GA4OzuLd36VhUmTJsHFxQXZ2dniXbRlEa8uY9+rV6+iX79+cHNzg6mpKezs7NC0aVOMGjUKWVlZYjl1x9ff3198HP7LL79UGpusXLkSGzduFC/UaDJgwABIJBKxHy5NfHw8ioqKVLYpnGfC3JvFf3cIczkWP3/Xr1+PFi1awNzcHE5OThg/fryY1Ll+/TrCwsJgb28Pc3NztG/fHhcuXNAqvpL0798fCoUCLVq0wKBBgzBu3DiVMmFhYcjJycHWrVsN3h97yxBjZQAAyeVyIiL65JNPCABNnjxZqcy0adMIAM2cOVNpeWFhIYWGhhIAsrKyog4dOlCPHj3IwcGBAFDXrl2psLBQZX8uLi5qY1mxYgUBoGnTphER0b179ygyMpIUCgUBoF69elFkZKT4TxAZGUkAaMiQISSRSKhFixbUt29fatGiBT169IiIiA4cOEBmZmYEgJo1a0Z9+/alpk2bEgCqVq0aHTlyRCmWpKQkAkA9evSg+vXrk0KhoG7dulG7du3IyMiIANCyZcu0auPCwkKqXr06AaDz589r9Rl1bdanTx+ysLCgdu3aUWBgoLjNiIgIlc9kZ2dTw4YNCQA5OTlR9+7dqWPHjmRhYaH2WGZmZhIAatWqFfn6+pKtrS0FBgaSv78/SaVSMjIyov3799PcuXNJJpNRq1atqGfPnmRjY0MAKDw8XCUGPz8/AkCZmZlKyy9fvkxOTk4EgBwdHSk4OJh69OhBnp6eBICSkpLEsosXLyYA5O7uTgEBARQaGko+Pj4EgIyNjemnn37Ser+aCMfaz89P7fpOnToRAJozZ4647MKFC2Rra0sAyNPTk/r27UutW7cmACSTyWjDhg1i2a1bt1KvXr0IACkUCqVzuPg5dPXqVbFd3NzcKCgoiNq2bUsmJiYklUopISFBbdzanqPaxuHi4kLquhiFQkHVqlUjX19fCg0NpYCAAKpRowYBoPbt29OLFy/Uxlf8u1qaBQsWEACaNWuW2vXCd33t2rW0fPlyAkBxcXFKZdq2bUvm5uaUm5tLAQEBKucUke7fDyIiDw8PAqD2nHv06BGZmpqSVCql27dvq429Vq1aZGJiQs+ePdOyNRhjrGoyZOxYUh8tjEVe7Y+FbUVHR5NcLqdGjRpRr169yN3dnQBQ/fr16dGjR9SiRQuysbERxy8SiYQkEgnt3btXaXtC/9StWzeqXbs2KRQK6t27N3Xq1IlkMhkBoJiYGJX49O2nu3btSs7OzuTg4EAhISEUGBhIP/zwQ6ntLPTHpY1nxo4dSwBo4MCBZRKvLmPfs2fPkpmZGUkkEvL19aW+ffvSRx99RA0aNFDpf9Ud35kzZ9L7779PAMjb21tpbHL06FHKz88nBwcHksvldP/+fZW6P378mCwsLMja2lrr/rV58+YEgP7880+l5Vu3btX4u+Pq1atE9M/5O2rUKKXxsDAm7N+/P6Wnp5OtrS3VrVuXgoODqXHjxgSAatasSdnZ2Ur79PDwIDc3N43/zpw5o7YOx48fJzs7O7W/RQ4ePEgAqF+/flq1B2MCTjCxMlF8kHD79m0yNTUlS0tLysnJEctoGiTMmjWLAFCnTp3o7t274vK8vDzq1q0bAaAFCxao7E/bBJOgtISB8KMTAK1bt05lfV5enthZLF68WGnd3LlzCQA5OzvT33//LS4XOlmhg8nLyxPXbdu2jQBQ7dq11cbzqoyMDLGdX/0Rrg0hjgYNGii1wW+//Sb+wP/111+VPtOlSxcCQOPHj6f8/Hxx+fXr18nNzY2MjIyUkl1Cpw+A/P396cGDB+I64bi4u7tTzZo1lZJxt2/fJnt7ewJA169fV4pB3XErKCgQE0ljxoxRio2I6Ny5c3Tz5k3x/y9cuKA2Kbd3714yMTEhNzc3KioqKnW/JSkpwfTnn3+SlZUVAaD9+/cTEVFRUZE4WJg0aZLS/jdu3EhSqZQsLS2VBhGaBs2CFy9ekJeXFwGg7777Tmmb586dIxsbG7KwsFAaDOlzjpYWB5HmBNPWrVuV9kFE9OTJEwoMDCQAtGrVKqV1+iSY+vTpQwDo0KFDatcXTzAJSZ127dqJ63///XeSSCQUFhZGRKQxwaTr94OIaPr06RoHbEKyq1OnThrrJiT3Dh8+XGo7MMZYVWbI2NGQBBMAmjdvnrg8Pz+fOnbsSACoYcOGKuMX4W9z27ZtlbZXvP/s1KmTUt+WkpJC1apVI6lUSqmpqeJyQ/vpoKAgnS8waJtgWrNmjXiRsKzi1XZcIfTLmzdvVonrypUrdOfOHfH/NR1fTeN/weTJkwkAxcbGqqwTLkSOGDFCfeO8Ijc3l2QyWYlj+JLOUWGdpaWl0ng4KyuLFAoFSSQSatCgAY0ePVq8yF5UVET9+/cnADR16lSt4tRGUFAQNW7cWGX5kydPSCqVkqura5nti70dOMHEykTxQQIR0ciRIwkATZw4UVymbpBQUFBAtra2ZGlpSffu3VPZbnZ2NsnlcpU/fOWZYProo4/Uro+PjycA9MEHH6hd/+6774o/WgVCJ2tlZaX2iomQYNAmiXHy5EkCQA4ODqWWVUfo7A8cOKCybsSIEQSAVqxYIS5LTU0lANS6dWuV5AvRP4OE4p2x0OkbGRlRRkaGUvnCwkKys7PT2DF+9tlnKjEQqT9u69evJwDUpEkTlbvbdBUREUEA6MKFC6XutyTqEkzPnj2jkydPkq+vLwEgDw8PMTl46NAhAkB16tRRmzAMDg5W+b6UltjZunUrARATI6+KjY0lQPkuKn3OUUMSTJoICdTg4GCl5fokmIQrnpruAiqeYCIiCgkJIalUSrdu3SIiohkzZhAA2rVrFxGpTzDp8/0getl2EomEqlWrRn/99ZfSunbt2hEAWr16tca6TZkyRRzoM8bY60zfsSORYQmmVxNFRETbt2/XOH558eIF2drakrGxsdLFBKF/kkgk9Msvv6hsc8KECQSAhg4dKi4zpJ+Wy+ViP6ULbRNMe/fuJeDlHdVlEa8u4wrhgs3Dhw9LrY++CabMzEySSqXk5eWlsk4Yw2v7hMCpU6dKvSCkTYJJ3Xh49OjRBLy8W6ygoEBp3fnz50sdf5UkIyNDaWyUmppKtra2NGDAALXlhTvXHj9+rNf+2NuJ52Bi5WLixIkwNTXFggULkJOTo7FcamoqcnJy0KZNG5XXewIvX/ler149XLp0Se38POWhe/fuapcfPXoUADQ+vy3MmSKUK6558+aoWbOmyvL69esDgNKz5ZoQUallSmNsbKz21fLq4ti/fz8AoEePHmrn0hHmeFI3h5Grqyvc3d2VlkmlUri4uAAAOnXqpPIZNzc3lRg0OXDgAABgyJAhkEq1+zP2/Plz/Pjjj5gyZQqGDh2KqKgoREVF4eLFiwCAjIwMrbZTmuLzEpmZmaFly5Y4deoU3N3dsW3bNhgZGQH45zzp06ePuKw4Yb4edeeTJsIxU/dGNKDkY1YW56i2MjIy8N1332HEiBEYOHAgoqKiMH36dHGdoe7evQsAWr+N6OOPP0ZRURESExMBvJyE297eHh9++KHGz+j7/XB1dUWbNm2Ql5eHH3/8UVx++/ZtJCcnw9zcHEFBQRr3Kxyje/fuaVU3xhh7XWg7djSUujGIMBGzuvGLkZERXF1dUVBQoDYuHx8feHh4qCwPCwsDABw7dkxcZkg/3axZs3J9o64wzizep1XUuOLdd98F8HJuoJSUFLUTTxvK1dUVAQEBuHTpEk6ePCkuT01NxdmzZ+Hr64smTZpotS1dxxmalHQu+vv7q7wxVpexsjq//fYbOnXqBFdXV7i6uiIkJASRkZFYsGCB2vI85mD64Pccs3Lh6OiI6OhoxMbG4ptvvtH4ikthcsY9e/ao/ZFW3IMHDyrkVfWa3kpx584dANA4ubiwXChXnLOzs9rPVKtWDQC0mtxYSMA9fPgQhYWFapMSpXF0dFT7OXVxCMdmwoQJmDBhgsZtqhtsaTpOFhYWGtcL67RpC2GibKGjLc3FixfRvXt3tZOBCnJzc7XaVmkUCoX4il+ZTAYbGxu0bNkSgYGBSm/CM+R80kSoX58+fdCnTx+N5dQds7I4R0tDRBg7dizmzZunMWFaFsfh8ePHMDIygpmZmVblu3btChsbGyQkJKBjx464fPkyRowYoTKwK86Q70e/fv1w9OhRJCQkiD9AEhMTUVRUhKCgILHN1bGysgIAlUnJGWPsdaft2NFQJY1BShu/qOsLhYtnr1LXjxvST5f3W9OEfRZPClXUuGLcuHE4duwYduzYgR07dqB69erw9fVFYGAgoqKiYGlpqXN91Bk2bBj27NmDZcuWoWXLlgD+eXHGkCFDtN6O0AcbGpeu56IuY2V1PvzwQ1y+fFnr8jzmYPrgBBMrNxMmTMAPP/yAhQsXYuzYsWrLCG9SqlevHlq3bl3i9uRyuVb7NfSqh6mpaYnrS0uEqVtf2me0UbduXVSvXh2PHz/G5cuXtb7Kom8cwrH54IMPSnzFqro7z/RpI31osx0iQu/evXHjxg1ER0cjOjoadevWRbVq1SCRSDB58mTMnDmzTO4QAwBPT0+sXLlS6/Jl2VbCMevSpQvs7e01lvP09DRoP/pav3495s6dC2dnZ8TGxqJVq1aws7ODsbEx8vPzIZfLy+Q4VK9eHffv38fTp09hbm5eanljY2OEhoZiyZIlmDx5MgD1b3ErzpDvR2hoKEaMGIGffvoJ9+7dg52dXYlvjytOGORVr169xHKMMfY60mbsWJrSxoEl9Xfl3Rca0k+XNj41VFpaGgCgYcOG4rKKGldYWVnh0KFD+Pnnn7Fjxw4cPnwYBw8exL59+zBz5kwcPXpU64uKJQkMDISzszPWr1+P2NhYyGQyJCYmwtLSssQE2quEPvjJkycGxVOZ56I2eMzB9MEJJlZuHBwc8K9//Qtz587F7Nmzxax7ccLVDS8vL51+lBsbGyMvL0/tuldfA19W3nnnHQAvX4Guzu+//w7g5RW48iCVShEQEIANGzYgMTFRrwSTLoRjExISgpEjR5brvnRVq1YtAMCvv/5aatlffvkFv/zyC5o3b47FixerrP/tt9/KPD5tlMf5JByz6OhojY96VibhVbeLFy9GYGCg0rqyPA729va4f/8+Hjx4oFWCCXiZ2FmyZAn27t2LevXq4b333iuxvCHfD2tra3Tr1g2bNm3Chg0b4O/vjwsXLkChUKi9Xb64hw8fAgDs7Ox02idjjL0OtBk7AoCJiQkAqB0Lltc4UBOhv9a0XOjvgarbTxcWFmLjxo0AgHbt2onLKzJeiUSCNm3aiI/d3bt3D59++inWrl2LyZMnY/369Qbvw8jICIMHD0ZMTAzWrl0LuVyOx48fY+jQoSXePfwqIdn24MEDg2OqynjMwfTBczCxcjVhwgSYm5tj0aJF+PPPP1XWt2jRAtWrV0dSUpJOVwEcHR3FH5Cv2rdvn9rPCIORFy9eaL2f4j744AMAL+dnUUdYLpQrD6NHj4ZEIsH8+fNx9erVEsseP37coH117NgRALBt2zaDtlMehNiWL19e6h0vQueo7lbthw8fivMLVDThPFm/fr14hbA44Y6W4udTaedwRR0zfb9LwrEQEoTFbdiwwfDA/p+3tzeAl8lFbb3//vto2rQpbGxsMGjQoFLLG9rWwhxba9aswf/+9z8AL+frKO3RV+F737RpU732yxhjVV1pY0fgn4sv6enpKus0jQPLS1pamto41q5dC+Bl/yKoqmOrmTNn4o8//oCTkxN69eolLq/MeO3s7BATEwMA4nyZJdF2bDJ48GAYGRlh2bJlej0eBwCNGjWCTCbTaZzxunny5Anu3LmDOnXqiI/KMaYNTjCxcmVvb49///vfePr0KVatWqWyXi6XY+zYsXj06BF69eql9irQhQsXVK5a+Pn5AYA4MTDw8lGomTNnakysCFeQrl27plddevfuDYVCgaNHj2Lp0qVK6+bPn4/Tp0/D2dm5xAl6DeXr64vx48fj2bNnaN++PXbv3q1S5vHjx5g2bZrSFSh9tGzZEh06dEBSUhI+++wzlauERUVF2Ldvn9LklRUlODgY9evXx/nz5zFx4kSVwURaWhpu3boFAHB3d4dUKsWhQ4eUJpD++++/ER0dXWlXn/z9/dG4cWNkZmZi6tSpSomybdu2YcuWLahWrRqioqLE5ba2tjA2Nsb169fVJqVCQkLER/RmzZqFgoICpfX5+fnYsmWLVgO1kpQWhybCxJ5Lly5Vqu/Ro0fxzTffGBRTcUJSLiUlRafPCS8dKGlOJYGh348uXbrA1tYWJ0+exPLlywH8k3QqSUpKCkxMTEq9w4oxxl5XpY0dgX/GgXPmzMHTp0/F5QcOHEBsbGyFxCkoKirCyJEjleI4e/YsFi5cCKlUimHDhonLK6qf1lZ2djZGjBiBL774AkZGRlixYoWYqKnIeJcsWaL2ju49e/YA0G7+KW3H+U5OTggMDMSZM2fw888/w9vbG82bN9cpXgsLC/j4+OD27ds6zZX5Ojl9+jSIqFwvnLM3EyeYWLkbP348LCwsNL4FbvLkyQgLC8OBAwfg4eGB1q1bo2/fvujYsSPq1q0Lb29v8SqQYMKECTAzM0NsbCx8fHzEDnD69On497//rXY/wq294eHhCA0NxeDBgzF48GCt62FhYYGEhASYmZlh2LBhaN68OcLDw9GsWTN8+umnsLCwQGJiotZzRelr5syZmDJlCu7evYuPPvoIrq6uCAoKQnh4ONq2bQt7e3t89dVXGied1EVCQgKaNGmC2NhYuLi4oEOHDujbty8++OADODg4ICAgAGfOnCmDWulGJpNh8+bNcHBwwOzZs+Hi4oLQ0FAEBQWhYcOG8PHxER+fs7e3x6BBg/DkyRN4e3sjMDAQoaGhcHV1xaFDh5QSOBVJIpEgISEBNjY2mDFjBho1aoTw8HC0adMGQUFBkEqliI+Ph4ODg/gZExMTdO7cGdnZ2fD29kb//v0xePBgrFixAsDLdtm6dStq1aqFiRMnwsXFBZ07d0bv3r3RqlUrKBQK9OrVC9evXzco9tLi0GTkyJGwsLDAokWL4OXlhbCwMLRt2xZ+fn6Ijo42KKbiunTpAolEgqSkpDLbpjqGfD+MjY3F+R7u37+PBg0aoFmzZiXu7/r167h16xbat29f7nNxMMZYZSpt7BgWFgYPDw8cP34cDRo0QEhICHx9fREQEKBxHFheAgMDcfXqVbi5uaFPnz7o3LkzWrVqhdzcXEyePFl8QxpQcf20OmPHjkVUVBQiIyMRHBwMHx8fODs7Y8GCBXBwcMCuXbtUHtOuqHiXLFmCunXrolGjRggJCUHfvn3h4+ODUaNGwczMDNOmTSt1Gy1btoS9vT02bdoEf39/DBw4EIMHD1Z74bl40m/o0KF6xfzRRx8BQLmPNSrL4cOHAbx8EQpjuuAEEyt3dnZ2GD58uMb1UqkUiYmJ2LRpE9q1a4eMjAxs2bIFV65cgUKhQExMjMqbRBo1aoRDhw7B398f6enp2L9/P9zc3HDixAm0aNFC7X6Cg4Mxb948ODs7Y8eOHYiLi0NcXJxOdenQoQNOnz6NsLAw3Lp1C5s2bUJ2djY+/vhjnD17tkKy/BKJBP/5z39w4cIFDB8+HObm5jh48CA2bdqE69evIyAgAGvWrNHpLRGaKBQKnDx5EnPnzkW9evVw+vRpbNu2Dbdu3YKPjw8WLlxY6qTE5cXLywtpaWkYM2YMLCwssGPHDiQnJ0Mul+Pzzz9XmqNq8eLFmDNnDurUqYODBw/i6NGj6NixI86cOVMmiTh9NW7cGOfOncOQIUOQl5eHTZs24dq1a+jZsyd+/vlnhIaGqnxm+fLl6NevH+7fv4/ExETExcUhOTlZXO/p6Ym0tDTExMTA3t4ex44dw65du3Dv3j20bdsWK1asEG95N0RpcahTv359nD59Gt26dUNOTg62b9+OvLw8/PDDD2V6B1OdOnXQsWNHJCUlITs7u8y2+ypDvx/F71jS5nuUmJgIQPdb+Rlj7HVT2tjRzMwMBw8eRFhYGHJzc7F7924UFRVh/fr1JX6uPNjY2ODEiRNiv3P48GE0bNgQK1asULrTXlBR/fSrNm/ejFWrVmHNmjVISkrCs2fPEBoailWrViEzMxMBAQFqP1cR8U6fPh0DBw6ERCLBwYMHsWPHDjx9+hRDhw7FhQsX0KpVq1K3YWpqKibJ0tLSsHLlSsTFxal9fNHPz09822xERIReMQ8cOBBGRkZi3/ymWbt2LWxtbcv1yQz2ZpJQWb06iTHGGKsifvzxR/Ts2RNz5szB6NGjKzscgxERGjRogLy8PNy4cQMyGb+jgzHGGNNHYmIiIiIiEBkZqdNLhl4VFBSEnTt34tatW1AoFGUXYCU7ceIEWrdujfHjx6tc5GesNJxgYowx9kby9fXFnTt3cP36daU5JV5HW7duRXBwMOLi4jBw4MDKDocxxhh7LRUUFKBFixY4f/48UlJSND75oI1Lly7B29sbY8aMwezZs8swysrVo0cPHDlyBL/++itsbGwqOxz2muEEE2OMsTfSkSNH4Ofnh8WLF5fpHE8VjYjQrFkzvHjxAufPn4dUyk+3M8YYY7rYvn07tm3bhpSUFFy+fBlBQUHYsmWLwdsdOHAgNmzYgBs3bsDW1rYMIq1cqampaNasGWbNmoXx48dXdjjsNcQJJsYYY4wxxhhjb6yYmBh8+eWXqFGjBrp27YoFCxbA2tq6ssNi7I3DCSbGGGOMMcYYY4wxZhC+z54xxhhjjDHGGGOMGYQTTIwxxhhjjDHGGGPMIJxgYowxxhhjjDHGGGMG4QQTY4wxxhhjjDHGGDMIJ5gYY4wxxhhjjDHGmEE4wcQYY4wxxhhjjDHGDMIJJsYYY4wxxhhjjDFmEE4wMcYYY4wxxhhjjDGDcIKJMcYYY4wxxhhjjBnk/wD5IHtd+tVy7AAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Create a 2x2 subplot\n", "fig, axs = plt.subplots(2, 2, figsize=(12, 12))\n", "fig.suptitle(\"Equation of State (EoS) Analysis\",fontsize=22)\n", "\n", "# Panel a) e vs p\n", "axs[0, 0].plot(e, p, color='blue', label='Energy vs Pressure')\n", "axs[0, 0].set_xlabel(\"Energy Density (MeV.fm⁻³)\" ,fontsize=15)\n", "axs[0, 0].set_ylabel(\"Pressure (MeV.fm⁻³)\",fontsize=15)\n", "axs[0, 0].legend(fontsize=15)\n", "axs[0, 0].grid(True)\n", "\n", "# Panel b) rho vs p\n", "axs[0, 1].plot(rho, xp, color='green', label='Density vs $x_p$')\n", "axs[0, 1].set_xlabel(\"Number Density (fm⁻³)\",fontsize=15)\n", "axs[0, 1].set_ylabel(\"Proton fraction\",fontsize=15)\n", "axs[0, 1].legend(fontsize=15)\n", "axs[0, 1].grid(True)\n", "\n", "# Panel c) mu_n vs p\n", "axs[1, 0].plot(mu_n, p, color='red', label='Neutron Chemical Potential vs Pressure')\n", "axs[1, 0].set_xlabel(\"Neutron Chemical Potential (MeV)\",fontsize=15)\n", "axs[1, 0].set_ylabel(\"Pressure (MeV.fm⁻³)\",fontsize=15)\n", "axs[1, 0].legend(fontsize=15)\n", "axs[1, 0].grid(True)\n", "\n", "# Panel d) rho vs mu_n, mu_p, and mu_e\n", "axs[1, 1].plot(rho, mu_n, color='red', label='Neutron')\n", "axs[1, 1].plot(rho, mu_p, color='blue', label='Proton')\n", "axs[1, 1].plot(rho, mu_e, color='green', label='Electron')\n", "axs[1, 1].set_xlabel(\"Number Density (fm⁻³)\",fontsize=15)\n", "axs[1, 1].set_ylabel(\"Chemical Potential (MeV)\",fontsize=15)\n", "axs[1, 1].legend(fontsize=15)\n", "axs[1, 1].grid(True)\n", "\n", "plt.tight_layout(rect=[0, 0, 1, 0.96])\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A Microscopic Approach with Density-Dependent Coupling in Relativistic Mean field Models\n", "\n", "This notebook explores a microscopic approach to modeling hadrons based on relativistic mean-field theory, where hadrons interact through density-dependent couplings with mesons (DDH). This approach, unlike constant coupling methods, incorporates quantal fluctuations of baryon fields even in the ground state, as demonstrated by Lenske and Fuchs (1995, *Physical Review B*, 345, 355).\n", "\n", "The DDH parameterization has been particularly effective in describing both the properties of nuclear matter and finite nuclei. Notably, Typel and Wolter (1999, *Nuclear Physics A*, 656, 331) developed a DDH parameterization that captures essential nuclear characteristics accurately.\n", "\n", "### Types of Density-Dependent Functional Dependence for Couplings\n", "\n", "The literature explores various functional dependencies for isoscalar and isovector couplings in the DDH model. Three well-known types are:\n", "\n", "1. **Typel-Wolter Type (1999)**: The original functional form introduced by Typel and Wolter (1999) in *Nuclear Physics A*.\n", "2. **DDB (Density-Dependent Bayesian) Type**: Introduced in *Astrophysical Journal* (930, 2022, 17) and detailed in e-Print: 2201.12552, this parameterization leverages Bayesian approaches for improved model precision.\n", "3. **Char23 Type**: A more recent functional form, as seen in arXiv:2307.12364.\n", "4. Possibility of implementing Different Density-Dependent Functionals: Our density-dependent relativistic mean-field (RMF) model supports all three types of functional dependencies, allowing users to select or define custom functional forms based on specific research needs." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "import EOSgenerators.RMF_DDH as DDH\n", "from TOVsolver.constant import oneoverfm_MeV,G,c" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## (a) Compute DDH EOS" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The function `DDH.Function` calculates the coupling constants \\( g_{\\sigma}(\\rho) \\), \\( g_{\\omega}(\\rho) \\), and \\( g_{\\rho}(\\rho) \\) based on different models for density dependence. It returns symbolic expressions for each coupling and their derivatives with respect to density, allowing flexible evaluations across a range of densities.\n", "\n", "### Key Parameters\n", "\n", "- **type**: Specifies the density-dependence model. Options include:\n", " - `\"Typel99\"` (default): Implements the DD-MEX model from *Typel99* (Reference: 2008.04491).\n", " - `\"Malik22\"`: Uses the DDBm model parameters as detailed in *Malik22* (Reference: 2201.12552).\n", " - `\"Char23\"`: Model I from *Char23* (Reference: 2307.12364).\n", " - `\"UserDefined\"`: Allows custom LaTeX expressions for each coupling.\n", "\n", "- **couplings**: Specifies the coupling constants for the selected model.\n", " - `\"Default\"`: Uses preset values for the selected model.\n", " - Custom List: Users can input specific values if `\"Default\"` is not selected.\n", "\n", "### Function Output\n", "\n", "The `DDH.Function` function returns a tuple containing symbolic expressions for each coupling and its derivative:\n", "\n", "1. **\\( g_{\\sigma}(\\rho) \\)**: Sigma meson coupling\n", "2. **\\( g_{\\omega}(\\rho) \\)**: Omega meson coupling\n", "3. **\\( g_{\\rho}(\\rho) \\)**: Rho meson coupling\n", "4. **\\( \\frac{d g_{\\sigma}}{d \\rho} \\)**: Derivative of sigma coupling with respect to density\n", "5. **\\( \\frac{d g_{\\omega}}{d \\rho} \\)**: Derivative of omega coupling with respect to density\n", "6. **\\( \\frac{d g_{\\rho}}{d \\rho} \\)**: Derivative of rho coupling with respect to density\n", "\n", "### Example Usage\n", "\n", "The following example shows how to initialize the function with a specified model type and retrieve the resulting coupling expressions:\n", "\n", "```python\n", "# Example usage\n", "gs, gw, gr, dgs, dgw, dgr = DDH.Function(type='Typel99', couplings=\"Default\")\n", "```\n", "\n", "This call returns the symbolic expressions for each meson coupling and their derivatives based on the DD-MEX model (Typel99) with default parameters. Adjust `type` and `couplings` as needed for different models or custom values." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "## DDMEX model (Huang et al, arxiv: 2008.04491)\n", "m_sig = (547.3327)/oneoverfm_MeV\n", "m_w = (783)/oneoverfm_MeV\n", "m_rho = (763)/oneoverfm_MeV\n", "rho0 = 0.153\n", "\n", "gsf, gwf, grf, dgsf, dgwf, dgrf = DDH.Function(type='Typel99')\n", "theta = np.array([m_sig, m_w, m_rho, gsf, gwf, grf, dgsf, dgwf, dgrf, rho0])\n", "EoS_DDMEX = DDH.compute_eos(eps_com, pres_com, theta)\n", "\n", "## DDBm (Malik et al, arxiv: 2201.12552)\n", "m_sig = (550)/oneoverfm_MeV\n", "\n", "gsf, gwf, grf, dgsf, dgwf, dgrf = DDH.Function(type='Malik22')\n", "theta = np.array([m_sig, m_w, m_rho, gsf, gwf, grf, dgsf, dgwf, dgrf, rho0])\n", "EoS_DDBm = DDH.compute_eos(eps_com, pres_com, theta)\n", "\n", "\n", "## Model I ( Char et al, arxiv:2307.12364)\n", "m_sig = (550.0)/oneoverfm_MeV\n", "m_w = (782.6)/oneoverfm_MeV\n", "m_rho = (769)/oneoverfm_MeV\n", "\n", "gsf, gwf, grf, dgsf, dgwf, dgrf = DDH.Function(type='Char23')\n", "theta = np.array([m_sig, m_w, m_rho, gsf, gwf, grf, dgsf, dgwf, dgrf, rho0])\n", "EoS_Char23 = DDH.compute_eos(eps_com, pres_com, theta)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "rho_DDMEX = EoS_DDMEX[0] # in fm-3\n", "e_DDMEX = EoS_DDMEX[1]/(MeV*fm**(-3)) ## in MeV.fm-3\n", "p_DDMEX = EoS_DDMEX[2]/(MeV*fm**(-3)) ## in MeV.fm-3\n", "xp_DDMEX = EoS_DDMEX[3] ## dimentionless\n", "\n", "rho_DDBm = EoS_DDBm[0] # in fm-3\n", "e_DDBm = EoS_DDBm[1]/(MeV*fm**(-3)) ## in MeV.fm-3\n", "p_DDBm = EoS_DDBm[2]/(MeV*fm**(-3)) ## in MeV.fm-3\n", "xp_DDBm = EoS_DDBm[3] ## dimentionless\n", "\n", "rho_char23 = EoS_Char23[0] # in fm-3\n", "e_char23 = EoS_Char23[1]/(MeV*fm**(-3)) ## in MeV.fm-3\n", "p_char23 = EoS_Char23[2]/(MeV*fm**(-3)) ## in MeV.fm-3\n", "xp_char23 = EoS_Char23[3] ## dimentionless\n", " \n", " \n", " \n", "# Create a two-panel plot\n", "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 6))\n", "\n", "# First panel: Energy density and Pressure vs Number density\n", "ax1.plot(e_DDMEX, p_DDMEX, label=\"DDMEX \")\n", "ax1.plot(e_DDBm, p_DDBm, label=\"DDBm\")\n", "ax1.plot(e_char23, p_char23, label=\"Model I (Char 23)\")\n", "ax1.set_xlabel(r\"Energy Density (MeV.fm$^{-3}$)\", fontsize=15)\n", "ax1.set_ylabel(r\"Pressure (MeV.fm$^{-3}$)\", fontsize=15)\n", "ax1.legend(fontsize=16)\n", "ax1.grid(True)\n", "\n", "# Second panel: Proton fraction vs Number density\n", "ax2.plot(rho_DDMEX, xp_DDMEX, label=\"DDMEX\")\n", "ax2.plot(rho_DDBm, xp_DDBm, label=\"DDBm\")\n", "ax2.plot(rho_char23, xp_char23, label=\"Model I (Char 23)\")\n", "ax2.set_xlabel(r\"Number Density $\\rho$ (fm$^{-3}$)\", fontsize=15)\n", "ax2.set_ylabel(r\"Proton Fraction ($x_p$)\", fontsize=15)\n", "ax2.legend(fontsize=16)\n", "ax2.grid(True)\n", "\n", "plt.tight_layout()\n", "plt.show() " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## (b) Compute the TOV" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "eps_DDMEX = np.array([*eps_com, *EoS_DDMEX[1]])\n", "pres_DDMEX = np.array([*pres_com, *EoS_DDMEX[2]])\n", "MR_DDMEX = main.OutputMR(\"\", eps_DDMEX, pres_DDMEX).T\n", "\n", "eps_DDBm = np.array([*eps_com, *EoS_DDBm[1]])\n", "pres_DDBm = np.array([*pres_com, *EoS_DDBm[2]])\n", "MR_DDBm = main.OutputMR(\"\", eps_DDBm, pres_DDBm).T\n", "\n", "eps_char23 = np.array([*eps_com, *EoS_Char23[1]])\n", "pres_char23 = np.array([*pres_com, *EoS_Char23[2]])\n", "MR_char23 = main.OutputMR(\"\", eps_char23, pres_char23).T" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "image/png": 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YsCCe+e4wZg5P4FdvbKGgxoTdafDkh3s5UFDBUzOHaKI/8Vl+FVqaM2Z48eLFjfYfeughHnrooXaqSMR3VNXaWbk7n6Xbj7PpSFGTGWmDLGYmD+zBzOHJTBkYT2iQVgvuysb2iuXXwx3sC8zg/77MBuDNr3M4erqSf8weRbfwIO8WKHIOfhVaRKQxw3CtAvzvzTl8tDuPylpHk2Mm9o1j1shkrh3SU5O8SSMBZvj1tf0ZkhzNr5fuptbuZNORImb9YwMLbxvTZGVqEW9TaBHxQ6VVNt7bcZy3Nudw4FRFk8d7xYVxy6gUbhqVrDVo5KJuGplCWmw4P3t9K4UVtRwrquKmv2/kf2ePYlJ/LXkivkOhRcRPGIbB1mMlvPV1Dit25zWZnTYyOIDvDE/kllEpjE7vpgGV0iKj07vxwb2X85N/bWVfXhnlVjt3LNrM498ZzO0aoCs+QqFFxMdVWu0s23GC1zcdI+tUeZPHx6R344dj07h+aKLGqUibJMeE8p+7J/CrtzNZtfcUTgOe+nAvZ6ps/Gpqf2+XJ6LQIuKrDhVUsOSrYyzddpxya+M5VaJDA7l5VDI/GptG/wSNOxDPCQ8OYMGc0Ty3Kot/rD0MwF/XHCQuIoh5E3p5tzjp8hRaRHyIw2mws8jE24u2svFIcZPHR6d3Y874NKZfkkhIoFpVpH2YzSYeum4g3SOC+d1/9wLwxPI9dAsL4obhSV6uTroyhRYRH2J3OHn7iJlKe31gCQk0M2tEMnMnpDMkKdqL1UlX8+PLe1NcWcv/fn4Iw4D738kkOjSQKzU4V7xEoUXEhwQHWhgfb7DmpIlecWHMGZ/O90anEh2mS5XFOx6Y1p+iSitvbc7F5jC4e8k23rxrPCNSY7xdmnRBCi0iPuaKnk5mXzOGqwb2xGzWFRviXSaTiT/MGkpJpY2P9+RTVevgjkWbeffuiWTER3i7POliNFeziI/pFgxX9OuuwCI+w2I28cIPRzC+TywAJVU25i38mrzSai9XJl2NQouIiFxUSKCFV+aNYUiSazXok6U13P7qFmpsTWdhFmkvCi0iItIskSGBLL5jLOlxrlmWs06V8+wnWV6uSroShRYREWm2HpHB/N+8Me6VwRd+eZSNhwu9XJV0FQotIiLSIv0SInno2gHu/Qff3UV5jc2LFUlXodAiIiIt9uPLejOut2tg7okz1fzuw71erki6AoUWERFpMbPZxHPfG0543XpX7247zqo9+V6uSjo7hRYREWmV1NgwnrhhiHv/4fd2U1hh9WJF0tkptIiISKt9b0wK1wyKB6CospZHl+3GMAwvVyWdlUKLiIi0mslk4umbhxEbHgTAJ3tO8d72E16uSjorhRYREWmTHpHB/HHWJe79p1fup7pWk86J5ym0iIhIm00fmsh1Q3oCUFhhZclXx7xckXRGCi0iIuIR90/rj6luyawF6w5TVWv3bkHS6Si0iIiIR/RPiOQ7w5IA16Dc1zaptUU8S6FFREQ85pdXZ7hbW/657jAVVrW2iOcEeLsAETk3wzCwOqyU15a7brby+u26m81pw2k4cRiO+q9O11cDg0BzIKEBoee8hQWGERMcQ3xYPBGBEZjO/qYRaYOM+EhmDk/ig8yTlFTZ+NfGbO6ZnOHtsqSTUGgR8ZJSaym55bmcqjzFqapTFFQVkFeRx76Kfbz84cucrj5Ntb26Q2oJDQglISyB+LD4RrfkiGQyYjJIikjCbFLDrDTPL67ux4c7T+I04JUvjjBvQjqRIYHeLks6AYUWkXZkc9jILsvmWNmx+q+lrq8l1pLzP7G842oEqLZXk12WTXZZ9jkfDwsIIyMmg37d+rluMf3I6JZBbEhsxxYqfqFvjwhmjUjmvR0nOFNlY/GGbO67up+3y5JOQKFFxEPKasvIKs4iqziLfcX7yCrO4nDpYezOlvfphweEEx8eT2xILFFBUUQGRbq/RgRGEBkUSWRQJEGWICwmC2aTuf6r2YIJExaThVpnLVW2Kqrt1Y1uVfYqqmxVlNSUUFBV4G7pqbJXnbOeKnsVuwp3satwV6P7e4T2YFTCKMb2HMvYnmNJj0pXN5MAcN/V/fhg50kcToNXvjjCbZf1IkqtLdJGCi0irWBz2sgqziKzIJPM05l8U/gNJyqaPwtofFg8vaJ6kRaVRmJ4ortrJjYolswvM7n5+psJDOz4H/AVtRWNQsyxsmMcLDnIwTMHz/n9na4+zSfZn/BJ9icAxIfGMzbRFWDGJo4lOSK5o78F8RG9u4dz08hk/rPtOGU1dhZ9mc0vr1Fri7SNQotIM1TUVrDt1Da2F2wnsyCTPUV7sDouvDCcxWShd3Rv+nfrT+/o3vSK6kV6VDrpUemEBYad8zk2m439pv3t8S00S0RQBBFBEfSJ6dPksUpbJYfOHOJQySEOnjnIwZKD7CnaQ6Wt0n1MQXUB/z3yX/575L8AJEckMzl1MtN7T2do96Fqheli7puSwbIdJ3A4DV7/Kpt7JvclwKKxUdJ6Ci0i52B1WMksyOTrvK/5Ov9r9hTuwWGcf1ry0IBQBsYOZEC3AQyMHcjA2IH0jelLSEBIB1bdvsIDwxneYzjDewx332d32tlXtI/N+ZvZkr+F7QXbGw0ePlFxgiX7lrBk3xJSIlKY3ns603tPp183/cXdFaTHhTNtcAIrv8mnsKKWDYeLmNS/h7fLEj+m0CJSJ7csl/Un1rP++Hq2ndp2wZaUlIgUhscPZ0SPEYyIH0FGTAYB5q733ynAHMDQHkMZ2mModw69E5vDxjdF37A5rz7E2Jw2AI5XHOeV3a/wyu5XyIjJYEbvGVzX+zpSI1O9/F1Ie7pxRDIrv8kH4IMdJxRapE263k9ZkTp2p50dBTtYl7uO9SfWc7T06HmP7RPdh3GJ4xjbcywj4kfQPbR7B1bqPwItgYyMH8nI+JH8bPjPKKstY82xNaw8upKv87/GaTgBOHTmEC/ueJEXd7zIuJ7juG3IbVyefLm6jzqhyQN7EBUSQFmNnU/25FNd6yA0yOLtssRPKbRIl2Jz2tict5nVx1bzWc5n573suGd4T8Ynjmdc4jjG9RxHjzD9ddgaUUFR3NTvJm7qdxOF1YV8kv0JK4+uZOfpne5jvs53dcFlxGRw25DbuL739QRadJVJZxEcYGHG0ET+vSWXyloHq/edYubwJG+XJX5KoUU6PYfTwZZTW/joyEd8mvMp5bVNJ0Exm8wM7zGcK1Ou5MqUK+kX009/9XtY99DuzB40m9mDZnOi4gQfH/2YZYeWcazMtT7NoTOHeHzD4/xt+9+YPXg23+3/XaKCorxctXjCjSOS+feWXMDVRaTQIq2l0CKdkmEY7Cnaw4ojK/g4+2MKqwubHBNiCeGKlCuYkjaFy5MuJyYkxguVdk3JEcncOfRObh9yO2uPr2XxN4vJPJ0JuK5Aen7b87y862Vu6XcLtw25jfiweC9XLG0xrncsidEh5JXWsO7AaYora4kND/J2WeKHFFqkU7I5bfx01U8ptzVuVQkLCGNS6iSmpU/jsuTLCA0I9VKFAmAxW7g67WquTruazIJMFu9ZzGc5n2FgUGmr5LW9r/HugXf5ydCfcNuQ2wi2BHu7ZGkFs9nEzOFJ/HP9EexOgxW785g7Pt3bZYkf0gXz0ikFWYK4Jv0aAALNgVyddjXPTXqOdT9Yx5+v/DPXpF+jwOJjRsSP4IXJL7B81nK+3//77oBSba/mbzv+xo3v38ianDUYhuHlSqU1Zo2sn2jwgx3Nn4hRpCG1tEin9YOBP2Bk/EiuTr9aYyP8SK/oXjw+4XF+PuLn/HPXP3kn6x0choMTFSf4n8//h/GJ4/nN2N/QN6avt0uVFhiUGMWAhEiyTpWz9VgJucVVpMaee5JFkfNRS4t0WkPihnBTv5sUWPxUXGgcj4x7hHdveJdxPce57/8q7ytuWX4Lf9r8J0qtpV6sUFrqxpH1A3A/yFRri7ScQouI+LR+3frxyrRXeP6q591rGTkMB2/se4PvLPsOnxz7xMsVSnM1vGrow515XqxE/JW6h0R8hdMJlYVEVh/HlL0ebJVQW1n/teHNVgUO10yzNLo021R/nzkQgiMhOKLuayQERdbfFxINkUkQ3v1br+F7TCYT16Rfw+XJl/OvPf9i4TcLqbZXc8Z6hoc3PMyYoDFMsU/xyiKT0nwp3cIYmhzN7hOlHCgop8bmICRQE81J8ym0iHQEhw1Kc6HkGJw55vpadhIqC6DitOtrZSGBhoMpAB25ZqIlGKISISoFopIgOhmi6m7d+0NsbzD7xi+WkIAQfjb8Z9yYcSPPbnmWVcdWAbC1divzVs3jL5P+cs7FHsV3ZMRHsPtEKYYBx4qqGNAz0tsliR9RaBHxFMNwBZOC/XB6HxQecIWTkmwoOwF1U9j7HIfVVWNJ9rkfDwiFHgMgYQjED4aEwRA/BCLivdZC0zO8J89Neo4PDn/AH7/6IzWOGg6dOcQPV/yQR8c9yo0ZN3qlLrm43t3D3dtHCysVWqRFFFpEWqP6DOTthPxd9SHldBbUVrT8tcyBEN4DInrgDOvB8ZIakgeMxBIeB0EREBQOgWF122F1++Hgnuq+wSXADS8HdtSCtQKsZa66rOWNb9XFUJbnClRlJ6DmPINa7dWQl+m6NRQWB8mjodflrlvP4WDpuB8pJpOJWRmzGBQziJ+v/DkFzgKq7dU8tuExNudv5tFxjxIWqKtTfM23Q4tISyi0iFyMtcIVTk7ucN1ObIfiw81/fmg3iEmHbukNvvaCmFRXWAnt5m6xcNhs7PjoIxKnzMDS0eMzrBWuLquy466vZ3KgYC+c2gvFR2gUjgCqiuDgKtcNXONl0id0eIjpE92HuyPvZnf33Sw7vAyA5YeXs+v0Lp6b9BwDYge0ew3SfI1DSytCvnRpCi0iDRmGq5skdzPkfu26FextXtdOTDrED4IeA+u+DoDYvhDiJ5dcB0dAj/6u27fVVsHp/fUhpmAP5H8DVQ2WR6gtbxxigqOg95UweBYMuM41ALidBJmCeHzc44xLGsfvNv2OKnsV2WXZzF05lxcmv8DEpInt9t7SMr3U0iJtoNAiXZvT6WpFObq+LqRsdg2KvRBLMPQcCkkjIWmEa5xHjwGubpvOKigMkke5bmcZBhQehOwvIPtL163hubOWwf7/um4BIdBvKgy5Cfpd6wpI7eD6PtdzSfdLmL9uPvuL91Ntr+beNfe6Z0EW74sIDiA+MpiCcitHC6u8XY74GYUW6XrKTsLhz+HwZ3Dkc1c3x/mYzK5Bpymj60LKSFdIsejSWkym+paZS+9sGmKOrq9vibHXwL4PXbeAUOg/rT7ABHl23El6VDpLZizh1+t/zZqcNdicNh5Y9wBPTXyKWRmzPPpe0jq9uodTUG6lsMJKWY2NqBD9f5LmUWiRzs/pgONbIesjOPCJa9Ds+QRHQ+qlkDoOUse6Bpq2Y7dGp/LtEON0QM4m2LMM9n4Aladdx9mrXft7P3Cd79HzYOxPISbNY6UEW4J5btJzPLHxCZYfXo7TcPL4hsepqK1gzuA5HnsfaZ0+3cPZfLQYgOzCSoalaIV1aR6FFumcaqtcrShng8rZX5jfFhTpGnfRd7Jr8Gj3AWDWRNEeYbbUD8qd/mc4tqEuwCyvb4GxlsLGv8Gmv8OgG2D8z12B0QOXUgeYA/j9Zb8nIjCCN/e/CcAzW56hvLacu4ffjcnHJ9TrzL59BZFCizSXQot0HrZqOPQpfPMeHPjYNWtsEyZIGQN9p7huyaPV1dMRzBZXOOx9JUx/Fo59Cbvegd3/cc0TYzjrW1+SRrrCy+BZEBDUtrc1mfnN2N8QFRzFgp0LAPjHzn9QVlvGg5c+iNmkgOoNuuxZWkuhRfyb3QqH1rj+gs/66NzzpASGuQLKgBnQ/1rXtPXiPZYA6HOV63bNU7BtEWx+pX4Q78kd8N5dsOpxuOyXMPauNgVLk8nEPSPuITIwkme3PgvAkn1LqLBV8LuJv1OLixcotEhrKbSIfys9Dv/+UdP7Q7u5uhsGfsf1131gaMfXJhcX0QMmPeQKJ3uWubqJ8ne5HqvIh08ehh2vw4znoNdlbXqreUPmERkUyZObnsRpOHn/0PtkxGRw25DbPPCNSEukxeIEeagAACAASURBVIVhMrnGbiu0SEuobVT8W1xf6DnMtR0SDSPmwOylMP8gzPybq2VFgcX3BQTD8B/Cz9bDHStdYfPs4o8Fe2HxDFh6F5Tnt+ltbup3E89c+Yx7/4VtL5BZkHmBZ0h7CA6wkBgVAsDJM9Verkb8iUKL+L8pj8GP3ob5h2DW36HfNRqn4q9MJkifCD98A36yxjW+5azd78DfxrhaY86ucN0K1/W6jjsvuRMAu2HnwfUPcqbmTFsrlxbqFu4ar3SmyoZhGBc5WsRFoUX8X/9rXTOutnHQpviYlNGu4PKdF1zdfeCadfeTR2DBFZDzVatf+t6R9zIq3jVRXn5lPo9ueBSnry5o2UnF1oUWu9Og3Gr3cjXiLxRaRMR3mS0w5g64bzuMvh13l9HpfbBoOqz5nWthyBYKMAfw5yv/TLdgVxhaf3w9/9rzL8/VLRcVE1b/R0ZJZcv/DaVrUmgREd8XFgs3/BXuWgNJdUsJGE744i9YFk8nouZki18yITyBp6942r3/1+1/1fiWDtQtrL4Lt6Sq9d190rUotIiI/0geDT/5FK5+Asyuix/N+TuZtP+3mLe96rocpQUuS76Mu4beBYDDcDB/3XxKako8XrY01a1hS0uVWlqkeRRaRMS/mC1wxf2u8S7dXStSBxi1WD5+CN78PlRcZMHLb/n5iJ8zOmE0AKeqTvHYhsc0MLQDNGppUfeQNJNCi4j4p6QR8NN1OEb/uP6+g6vgHxNcSzc009nxLbEhsYBrfMt/j/zX09XKt5y9egjUPSTNp9AiIv4rKAzndX9mU58HMMJ7uO6rKoQ3fwCb/tHsl4kPi+epiU+595/Z8gxF1RdY/VvarGH30Bl1D0kzKbSIiN8riB6O/a71rqUaADBcs+l+/Ag4m3cp81WpV3Fdr+sAKLWW8szmZy7yDGmLhqGlWN1D0kwKLSLSOYT3gB++CVc+WH/fV3+H/9wBtppmvcRvxv6G6OBoAFZmr2Rd7rr2qFSAmAZjWs6oe0iaSaFFRDoPk8k1Q/INfwWTxXXf3vfh9VlQVXzRp8eFxvHgmPrQ8/uvfk/FuRbhlDaLDdfVQ9JyfhVann76aS699FIiIyOJj49n1qxZZGVlXfR569atY/To0YSEhNCnTx8WLFjQAdWKiNeMvh1+9G8IrFtNOGcTvHotlBy76FNn9p3JxKSJgOtqohe2v9COhXZdYUEWgiyuX0HqHpLm8qvQsm7dOu655x6++uorVq9ejd1uZ9q0aVRWnn+V0KNHjzJjxgyuuOIKduzYwSOPPMIvfvELli5d2oGVi0iH6z8N7lgB4fGu/cIDsHAq5O284NNMJhOPj3+c0ADXQptvZ73NjoId7V1tl2MymdxdROoekubyq9Dy8ccfc/vttzNkyBCGDx/OokWLyMnJYdu2bed9zoIFC0hLS+OFF15g0KBB/OQnP+HHP/4xzz33XAdWLiJekTQSfrIa4vq59itOwWs3wukLt9CmRKZw74h73ftPbHwCq8PanpV2SWe7iEqqajU3jjRLgLcLaIvS0lIAYmNjz3vMpk2bmDZtWqP7rr32WhYuXIjNZiMwsOlqwFarFau1/gdUWVkZADabDZtNfxE0x9nzpPPVMjpvLXfRcxaRDPNWYHl3Dubjm6G6BOO1WdhvXwlRyed93e9nfJ+VR1fyTdE3HC09ysuZL3P3sLvb41vwCl/4rIUEuv5uttqd2Gw2TCaT12ppDl84Z/7Ik+fLb0OLYRjcf//9XH755VxyySXnPS4/P5+EhIRG9yUkJGC32yksLCQxMbHJc55++mmeeuqpJvd//vnnhIWFtb34LmT16tXeLsEv6by13MXOWUDsnVxWdIqY6mOYyk9S8/J1fNn/MWoDIs/7nKscV7GXvThxsvibxcTlxBFuDvd06V7lzc9aSYkFMGHCYOXKlV6ro6X0/7NlqqqqPPZafhta7r33Xnbt2sWXX3550WO/nd7PNkOeL9U//PDD3H///e79srIyUlNTmTx5MnFxcW2ouuuw2WysXr2aqVOnnrM1S85N563lWnTOKq7AeO16TCVHibTmcW3RQhyz34OgiPM+pWBLAe8cfIdaajmefJxfjfyVh78D7/CFz9orx76CijLMZjMzZlzrlRpawhfOmT8qKvLcRI1+GVruu+8+li9fzvr160lJSbngsT179iQ/P7/RfQUFBQQEBJw3gAQHBxMcHNzk/sDAQH1QW0jnrHV03lquWeesWzLMex8WXgsV+ZhPbsf83o/hR29DQNA5n/LT4T/l/cPvU+us5d0D7/LjoT+me2j3dvgOvMObn7Wzo1gsJpNffd71/7NlPHmu/GogrmEY3Hvvvbz33nt89tln9O7d+6LPmTBhQpOmvFWrVjFmzBh96ES6om69YO57EOKaRI7Dn8H7d5935tyE8AS+P+D7ANQ4ali4e2EHFdr5OZxnW729XIj4Db8KLffccw9LlizhzTffJDIykvz8fPLz86murnYf8/DDDzNv3jz3/t13382xY8e4//772bdvH6+++ioLFy5k/vz53vgWRMQXJAyBW9+BgBDX/jdL4eNfw3muYLlz6J2EWFzHvpP1DqcqT3VUpZ3a2dNtMSu1SPP4VWh56aWXKC0t5aqrriIxMdF9e/vtt93H5OXlkZOT497v3bs3H330EWvXrmXEiBH8/ve/58UXX+SWW27xxrcgIr4ibTx8/7X6mXM3vww73zrnod1Du/PDgT8EoNZZy//t/r+OqrJTc9SlFrOaWqSZ/GpMS3Ou41+8eHGT+yZNmsT27dvboSIR8Wv9r4WZf4MPfu7aXzEfUsZC94wmh95xyR28nfU21fZqlh5cyo8v+TGJEU2vPpTmczrPhhYvFyJ+w69aWkREPG7kbBg517Vtq3QtsGhvOpFcbEgsswfNdh3mtPHK7lc6sspOyXm2pUWpRZpJoUVEZPoz0L2/azt/F3z65DkPu23wbYTXrWe07OAyjpcf76ACO6ez3UMWdQ9JMym0iIgEhcN3XwVL3VQHX/0DDnzS5LCYkBjmDJoDgN2w8/Kulzuyyk7n7AVbvj4TrvgOhRYREYCeQ2HaH+r33/9/UJbX5LB5Q+YRGeiaRfe/R/5LqbW0oyrsdM52D1n0m0iaSR8VEZGzxt4FA653bVcVwXt3gdPR6JCooChm9ZsFuMa2rDiyoqOr7DSc6h6SFlJoERE5y2SCG/8XIpNc+9lfwJfPNznspoyb3NvvH3q/o6rrdBzqHpIWUmgREWkoLBZueQVMdT8e1z4NhQcbHdKvWz+GxA0BYF/xPrKKszq6yk7BcHcPKbRI8yi0iIh8W6/L4bL/cW077fDJI00OmZUxy72t1pbWqZ9czsuFiN9QaBEROZcr50NUsmv74Co4sKrRw9N7TyfI7FpkccWRFdgcto6u0O85HJqnRVpGoUVE5FyCwmHq7+r3P3kE7LXu3ejgaKakTQGgxFrC+uPrO7pCv2Z3OCm32gGICtHitdI8Ci0iIudzyS2QOt61XXQQtjSeBVddRK1XXFUfALtHBHmxEvEnCi0iIudjMsH0PwF13Rdr/wQVp90Pj08cT0JYAgBfnPiCwupCLxTpn4or60NLbLhCizSPQouIyIUkjYSRrllwsZbBZ793P2QxW5jZdyYADsPBfw//1xsV+qWiivrQEhcR7MVKxJ8otIiIXMzVv4XgKNf29tcgb6f7oRszbnRvv3/o/WatRi9QWFG/KGWcWlqkmRRaREQuJiIeJj1Ut2PAyt9AXThJj0pnVPwoAA6XHmZf8T4vFelfGnYPxWlMizSTQouISHOM/RnE9nVt52yEg6vdD13f53r39pcnvuzoyvxSw+6h2HB1D0nzKLSIiDRHQBBMfap+/6u/uzcnJk10b284saEjq/JbRQ1bWtQ9JM2k0CIi0lwDZkC33q7tI2vh1F4AUiJTSI9KB2DX6V1U1FZ4qUD/UdRgTEt3DcSVZlJoERFpLrMFxv+/+v2vX3Jvnm1tsRt2Nudv7ujK/E7DMS3dwjW5nDSPQouISEuMuLX+SqKdb0Ola26Wy5Iucx+y8eRGb1TmV852D0WGBBAcYPFyNeIvFFpERFoiOBJGzXNtO6ywdREAl/a8lABzAKBxLc1xtntI41mkJRRaRERaauxPwVT343PLK2C3EhYYxsj4kQAcrzhOTlmOFwv0bbV2J2U1rnWHNLGctIRCi4hIS3VLh4HfcW1XnII9y4BvXUV0Uq0t51OsK4eklRRaRERaY/zP67c3/R0MQ+NamqmossFsuJpYTlpAoUVEpDXSxrvWJQLI3wXHNjIgdgCxIbEAbM7bjM1h82KBvqvRukOaWE5aQKFFRKQ1TKbGrS1b/g+zyezuIqqyV5F5OtNLxfk2rfAsraXQIiLSWoNnQXC0azv7CzCMRuNa1EV0bqfL1T0kraPQIiLSWgFBkDLGtV15GkqymZA0wf3w7tO7vVSYb8s8fsa93Ssu3IuViL9RaBERaYvUsfXbx7fQPbQ7oQGhABTVFHmpKN/ldBpsOuw6L5EhAQxJivJyReJPFFpERNoi5dL67VzX9P1nB+MW1xR7oyKflnWq3D2mZVzvOAIs+jUkzadPi4hIW6SMAUyu7eNbgPrQUlJTgsPp8FJhvmnDoUL39mUZcV6sRPyRQouISFuEREOPAa7tU99AbZU7tBgYlFhLvFic79l4uL7LbGLf7l6sRPyRQouISFud7SJy2uHkDndoAXURNWRzOPn6iCu0dI8Ion9ChJcrEn+j0CIi0laNBuNuVmg5j13HS6msdXWXTejbHZPJ5OWKxN8otIiItFVKg9CSu6VxaKlWaDlr0+EG41n6ajyLtFxAcw+cMmWKR9/YZDKxZs0aj76miIhXdO/vmmTOWgrHtxA39lb3Q2ppqbfhUP14lssyNJ5FWq7ZoWXt2rWYTCYMw/DIG6tZUEQ6DbMZUkbD4c+gsoBYh939kEKLS43NwbYc16DklG6hpMaGebki8UfNDi0Al1xyCS+++GKb3/S+++5jz549bX4dERGfkXKpK7QAsWdOuu9WaHHZdqyEWrsTgMt01ZC0UotCS3R0NJMmTWrzm0ZHR7f5NUREfEricPdmXEmOe7uoWrPiQuP5WSZqfhZppWaHlmHDhtGvXz+PvGlGRgYVFRUeeS0REZ/Qc5h7M+ZUlntbLS0uDednmaBBuNJKzQ4tmZmeW2J90aJFHnstERGfEJ0Cod2guoSAU7uJSU3kjPWM1h8Cymps7KpbJLF/QgTxkSFerkj8lS55FhHxBJOpvrWl8jTdAiMBOGM9c4EndQ2bjxTjrLuGQ7PgSlsotIiIeEpifRdRVN2P10pbJXan/XzP6BI2NJifZaK6hqQNWjQQtzW++OILvv76axwOB8OGDWPatGlYLJb2flsRkY7Xs34wblSDy57La8vpFtLNGxX5hI1187OYTTCuj0KLtF67tbTk5OQwfvx4Zs2axYYNG9i2bRt33XUXgwcPZufOne31tiIi3tOwpcVa6d4uqy3zRjU+4XS5laxT5QAMTY4mOjTQyxWJP2uXlpbS0lKmTJnClVdeyZo1awgPDwfAbrfzhz/8gcmTJ7Nt2zZ69+7dHm8vIuIdcRkQGAa2KqKqz0Cw6+4ya9cNLZuONLxqSONZpG3apaXlz3/+M6mpqbz66qvuwAIQEBDAk08+ybRp03jwwQfb461FRLzHbIGEIQBEVZW67+7KLS0bG8zPcpnmZ5E2apfQ8s477/DAAw+49zdt2sT69evd+0888QQrVqygtra2Pd5eRMR76q4ginI63Xd15dBydhBukMXMmPTYixwtcmHt0j2Um5tLRkaGe3/mzJkUFxfjcLiWJO/Xrx9Wq5WCggJSUlLaowQREe+oG9cS2TC0dNHuodziKnKLqwEYlR5DaJAuwpC2aZfQEh8fT25uLgMHDgRgwYIF1NTUuB/Pzc3FYrEQF6emQhHpZNTS4tZw6n6tNySe0C6hZebMmbz00ktMnToVgFtuuaXR43/5y1+46qqrCA0NbY+3FxHxnri+QOPQUl5b7q1qvGpDg6n7J2YotEjbtcuYlscee4wNGzbw29/+tsljr776KosWLeLZZ59tj7cWEfGukGgIiSHK0bVbWpxOwz0INyI4gOEpWihX2q5dWlp69uzJJ598ws0338y7777LtGnTCAwMZP369Rw9epRly5YxYsSI9nhrERHvi0kj+vQe925XDC1Zp8opqnRdbDG+TywBFk3ALm3Xbp+iESNGsH//fh577DEAqqurufPOOzl06BDTpk1rr7cVEfG+mLTGY1q64EDchuNZtN6QeEq7TuMfFBTE7NmzmT17dnu+jYiIb4lJJ9QwCDAM7CZTl2xp2dhgPMtlGs8iHqL2OhERT4tJxUT9YNyuFlpsDidf182E2z0imP4JEV6uSDqLFoWWp59+mo8++oiTJ0+2Vz0iIv4vJg2AUKcBQLW92pvVdLiduWeorHXNyzWxbxwmk8nLFUln0aLuoUcffdT94YuNjWXEiBEMHz7c/XXw4MFawVlEpC60BBqu0GJ32i90dKez4VB919Dl6hoSD2r1mJaioiLWrFnDmjVr3EEmMDCQwYMHNwkzMTExHitYRMTnRacCYKGLhpbDDQbhar0h8aAWhZaQkBCsViv9+vVjzpw5JCQksHPnTnbu3MmuXbsoLy8nMzOTzMzMRs2BqampDB8+nJEjR/Lkk096+nsQEfEtoTEQEk2AK7N0qdBSVWtnR04JAOlxYaR0C/NyRdKZtGhMy6FDh5g3bx6HDh3iiSeeYOnSpdx111188cUXlJaWcujQIZYuXcpvf/tbZs6cSVpaGoZhkJOTw4cffsjvf//79vo+RER8S0waAXUtLQ7D4eViOs6W7BJsDtf3rUudxdNa1NKSlJTEokWLuP/++3nooYf45JNP+PTTT5kzZw5/+MMf6NOnD3369OGmm25yP6esrMzdGrNz506PfwMiIj4pOo2AsgLAFVoMw+gSA1I3NlxvSF1D4mGtuuR56NChrFy5kk8//ZThw4fz2muv0b9/f37zm99QWlra6NioqCiuuOIK7r33Xl555RWPFC0i4vNi0txjWqDrdBF92SC0TOij0CKe1aZ5WqZMmcK2bdt4/fXXSUhI4M9//jN9+/bl+eefx2azeapGERH/E9mTwPrMgs3Z+X8mllTWsjfPNSfN4MQo4iKCvVyRdDYemVxu9uzZZGVl8eyzz2IYBg888AADBgzgrbfe8sTLi4j4n5BoAowGLS1G529p2XSkiLPfsrqGpD14bEbcoKAgHnjgAY4cOcL8+fPJy8tjzpw5zJs3z1NvISLiP0KiaDhrlcPZ+QfjNlpvSPOzSDvwSGg5fvw4q1at4vnnn2f+/Pls2LABi8WCYRjk5+d74i0AWL9+PTfccANJSUmYTCbef//9Cx6/du1aTCZTk9v+/fs9VpOIyDkFf6ulpQuMaTm73lCA2cTYXrFerkY6oxZdPZSTk8OePXvYu3cve/fuZc+ePezbt4+KigoAjLr/oGazmYyMDIYOHcr111/vsWIrKysZPnw4d9xxB7fcckuzn5eVlUVUVJR7v0ePHh6rSUTknEKiulRoOXy6gqOFlQCMTIshPLhd1+OVLqpFn6pevXq5L9k7G1ASEhIYN24cQ4cOZejQoQwbNozBgwcTEhLi8WKnT5/O9OnTW/y8+Ph4zcorIh0rJLpR91BnDy3vbM11b08b3NOLlUhn1qooPGjQIObMmcOtt95KWlqap2vyuJEjR1JTU8PgwYN57LHHmDx58gWPt1qtWK1W935ZmWs0vM1m01VRzXT2POl8tYzOW8v57DmzhLrXHgKosdX4VI2ePG82h5P/bD0OQKDFxA1D433qe/UUn/2s+ThPni+TYTT4X3URZrNrCMzZ1haz2Uz//v0ZNmwYw4cPd9+SkpI8VuD5mEwmli1bxqxZs857TFZWFuvXr2f06NFYrVZef/11FixYwNq1a7nyyivP+7wnn3ySp556qsn9b775JmFhmpJaRC7O4rCy5eSveS8yAoD7Iu8jwZLg5arax84iE68ecLUrjYh1cscAp5crEl9SVVXFrbfeSmlpaaOhGq3RotDy9ttvk5mZyc6dO8nMzGw0yLbhTI+xsbGNQszZFaADAwPbVGyjwpsRWs7lhhtuwGQysXz58vMec66WltTUVPLy8oiL02V8zWGz2Vi9ejVTp0716L97Z6fz1nI+e84Mgz++PJClkeEAvDX9LQZ0G+Dloup58rzd9fp21h5wXTn06rxRXNGvc1455LOfNR9XVFREYmKiR0JLi7qHfvCDH/CDH/zAvX/69OlGIWbnzp1kZWVRVFTEZ599xmeffeYOMwEBAQwaNIjMzMw2FdxW48ePZ8mSJRc8Jjg4mODgppMiBQYG6oPaQjpnraPz1nK+eM7yg+p/jvSM7Olz9UHbz1teaTXrD7oCS3JMKJMG9sRi7tzLFfjiZ82XefJctWl4d48ePZg6dSpTp05132e1WtmzZ0+jMLNr1y5KS0vZvXt3mwtuqx07dpCYmOjtMkSkCzgW4PoRG+Y0iAvpnK20/9l6HGdde/33xqR0+sAi3uXxa9KCg4MZNWoUo0aNanR/dnZ2mxdMrKio4NChQ+79o0ePkpmZSWxsLGlpaTz88MOcOHGC1157DYAXXniBXr16MWTIEGpra1myZAlLly5l6dKlbapDRORibA4bJ+tmwkq32eiMv8qdToO3664aMpnge2NSvVyRdHYddiF9r1696NWrV5teY+vWrY2u/Ln//vsBuO2221i8eDF5eXnk5OS4H6+trWX+/PmcOHGC0NBQhgwZwooVK5gxY0ab6hARuZjcilycdUmll80GtioICvduUR628XARx0uqAbiyXw+SY0K9XJF0ds0OLb/73e9IS0vj9ttvb/ObLl68mJycHH7729+26HlXXXUVFxo3vHjx4kb7Dz30EA899FBrShQRaZNjpcfc2+k2O9SUdbrQ8u8t9X8k/vBStbJI+2v2NP5PPvkkr776qkfedOHChee8pFhEpLM4VtYwtNjAUevFajyvuLKWVXtOARAXHsTVgzrn5dziWzy2YKKIiNTLLst2b6fbHRDZuS4AWLbjBLUO13wsN49KJihAv06k/bVoTMvWrVvp06dPm9/Uk4soioj4opyy+q6TtLAECAjyYjWeZRgG72ypn7b/B+oakg7SotBSU1NDdna2R9644WR0IiKdzbHSowDEOhxEx2R4uRrPysw9Q9apcgDGpHcjIz7SyxVJV9Hs0HL06NH2rENEpNOoslVRUOOacC3dZoMevb1ckWe9rVYW8ZJmh5b09PT2rENEpNNoPAjXDt06T2ipsNpZvvMkABHBAVw/rHON1RHfppFTIiIe1iS0xHae0LJi10mqah0AzByRRFhQh033JaLQIiLiaY2uHLLZOlVLy78bdA1pbhbpaAotIiIe1vDKIVf3UC/vFeNBB06VsyPnDAADe0YyNDnayxVJV6PQIiLiYQ27h9ICoyAkyovVeM7b32pl0VWg0tEUWkREPMgwDHf3UKLdTkgn6Rqy2h28t/04AEEBZmaNTPZyRdIVKbSIiHjQGesZymrLAEjrRINwV+89RUmVDYDpl/QkJqzzTJYn/kOhRUTEg5qsOdRJWlre/Lp+nI7mZhFvUWgREfGg3PL6cR+dpaXl8OkKNh4uAqBXXBjje8d5uSLpqhRaREQ8qDNOLNewlWX2uHTMZg3AFe9o0axAFoulTW9mMpmw2+1teg0REV/WaKFEu83vL3eusTn4z7b6AbjfHZ3i5YqkK2tRaDEMo01v1tbni4j4umPlrpYWs2GQYndCRLyXK2qbD3eepLTaNQD3O8MS6RauAbjiPS2ef9lkMjFgwADmzp3LzTffTERERHvUJSLidwzDcLe0JNodBIX3AHPbWqi9bUmDrqE547UGnXhXi0LL888/zxtvvMHWrVt57LHH+OMf/8hNN93E3LlzueaaazCbNURGRLqu4ppiKmwVQF3XUERPL1fUNt+cKGVnrmsG3EGJUYxMjfFyRdLVtShl/PKXv2Tz5s3s37+fhx9+mPj4eN544w2mT59OcnIyDzzwANu3b2+vWkVEfFpOeYPxLDa734eWN76uH1Q8Z3yaZsAVr2tV00j//v35wx/+wJEjR1i/fj133nknVquV559/nksvvZQhQ4bwzDPPkJube/EXExHpJJqsORSR4MVq2qasxsb7O04CEBEcwKwRmgFXvK/N/TmXX345L7/8Mvn5+bz77rvccMMNHD58mEceeYTevXtz7733eqJOERGf12RiOT8ehLts+wmqbQ4AbhqZTHhwi4dAinicxwahBAUFccstt/D++++zevVqUlNTcTqdHDhwwFNvISLi0xp2D6Xa/belxTAMlnxVH8Bmj0/zYjUi9TwWnU+dOsVbb73F66+/TmZmJoZhEBERweWXX+6ptxAR8Wlnu4fMhkGKzQ6R/hlaNh8t5mCBa0DxmPRuDOzZOVapFv/XptBSXV3NsmXLeP3111mzZg12ux2LxcK0adOYO3cuN910E6GhoZ6qVUTEZxmG4e4eSrLbCQS/bWl5Q5c5i49qcWgxDINPP/2UJUuWsGzZMiorKzEMg5EjRzJ37lx+9KMfkZDgn/9RRURaq6imiCp7FVA3CBf8MrQUVlhZ+U0eALHhQUwf6t9XQEnn0qLQ8uCDD/Lmm2+Sn5+PYRikpqZy7733MnfuXAYNGtReNYqI+LyGg3DT/Di0vLM1F5vDNXv598akEBzg35PjSefSotDyl7/8xT0j7pw5c5g0aRImk4mSkhI2btzYrNeYOHFiqwoVEfFljS53ttsgMByC/WvGcIfTaLQ44q1jNQBXfEurxrRkZWXx+OOPt/h5WjBRRDqrJi0tEYlerKZ11h84zfGSagCu7N+D9LhwL1ck0liLQktammZEFBE5l+yybPd2L5sNPqLnjgAAIABJREFUuvtf11DDy5znjFMri/ieFoWW7OzsdipDRMS/nW1pCTQMkuwOv7vc+XhJFZ9lFQCQGB3ClIH+OzGedF5a4VBEpI0cTod7TEuazYYF/G7doX9vzsVwjb/lR2PTCLDo14P4Hn0qRUTaKK8yj1pnLdDgcudo/1mrp9bu5N9bXGvFWcwmfnBpqpcrEjk3hRYRkTZqMp4FIMp/QsuqvfkUVlgBmDY4gYSoEC9XJHJuCi0iIm3U8MqhXu6WlhQvVdMyhmGwaEO2e18z4IovU2gREWmjo6VH3dv+1tKy7mAh246VAJARH8HEvnFerkjk/BRaRETaqElLi8kMkb4/T4vTgL+sPuTev39qf01rIT5NoUVEpI3OjmmJchrEOJ2uwGJp03q0HSKzyMT+/HIAhiZHM/0S/7riSboehRYRkTaotleTX5kPQK/aWkzgF11DdoeTj3LrfwXMv3aAWlnE5ym0iIi0QcM1h9zjWfzgcuf3dpzkdI0rpIztHcuV/bp7uSKRi1NoERFpg8aXO9ddOeTjLS01Ngd/+/ywe/8htbKIn1BoERFpg+zSbPd2urulxbcvd37j6xzyy1zzslzVvztjesV6uSKR5lFoERFpA3+bo6XCaufvnze4Yuiafl6sRqRlFFpERNrgbPeQCUiz+3730KtfHqW40rXkwKg4J4MSI71ckUjzKbSIiLSSYRju0JJIACFnVxz00ZaWkspaXll/BHCtMTQ91enlikRaRqFFRKSV9hfvp7zWNc9JH3tdYLEEQZhvXomzYN1hyq2u1qDvjkoiPtTLBYm0kEKLiEgrfZz9sXt7ckWFayMqCcy+96P1VFkNizdmAxAUYOaeq/p6tyCRVvC9/1kiIn7AMAw+PuoKLRaTmWtKi1wPxGV4sarz+9tnB7HaXd1Bc8enkxitlZzF/yi0iIi0wq7CXZysPAnA+OB4Yp1140P6X+fFqs7tWFEl/96cC0B4kIWfq5VF/JRCi4hIK5xtZQG49kxx3ZYJBt3gnYIu4IVPD2J3usbc3HlFH+Iigr1ckUjrKLSIiLSQ03CyKnsVAAGmAK4+VTe7bOpYiPStRQez8st5P/MEADFhgdx1RW8vVyTSegotIiIttP3UdgqqCwC4PLQnUXWtGAya6cWqzu25VVmcvRL751f1JTIk0LsFibSBQouISAs1vGroujMl9Q/4WNfQjpwSVu89BUBCVDDzJvTybkH/n737Do+qyhs4/p2WzKROCqmQEBAkdAWUXqQtURBQAd2VJnbXV1gEFRtWEGTtAgriouvyvrqyIrCA0puIgALSCQkkhJCEZJJJMv39Y8iEMQkkZJJJ+X2eJ4+3nHvvucfJ5MepQlSTBC1CCFEFVruVDSkbANCqfBiQftR5IrozhMR7MWdlzVt3zLX95MBWaDUqL+ZGiOqToEUIIapgT8YecoqdHW/76GLxK2l7aVu3moZ2nMxi5ynnMOz4MD/GdG3m5RwJUX0StAghRBVcOWpomFvT0J1eyE35HA4Hb11RyzJtcGs0Kvm6F/WffIqFEKKSLDYLP6T+AICfWkefcwedJ5okQnjdmVTuhyOZ/Ho2F4A2UYEM7xjj5RwJ4RkStAghRCXtTN/pWmtogF9c6QKJdahpyOFw8MGmk679aYNbo1QqvJgjITxHghYhhKiktWfWuraH5eWUnqhDQ513n85xq2UZ3DbSyzkSwnMkaBFCiEoothazKXUTAIGaAHqm7HeeCG0Bke28mDN3C7eccm0/0q8lCoXUsoiGQ4IWIYSohG1p2yi0FgIwyL85GsfltYYSR0AdCQx+Tzew5fhFAJqG6LijY7SXcySEZ0nQIoQQlbA2ubRp6E+G3NITdahpaNHW0lqWB/u0QC0jhkQDI59oIYS4BrvDzs70nQCE+Oq5Jfln54mgphB7sxdzVupsTiHf/3YegFB/H5mXRTRIErQIIcQ1pBpSMVqMAHT2b4babnGeaJNUZ5qGPtl2GtvlNZAm9GiOzkdmvxUNjwQtQghxDUdzjrq2ExW60hNRHb2Qm7KyC0z8796zAOg0Ksb3qFvLCQjhKRK0CCHENfye87trO9FUXHqiyY1eyE1Zn+88Q7HF2TH43lviCPH38XKOhKgZ9Spo2bp1K8OHDycmJgaFQsHKlSuvec2WLVvo0qULWq2WFi1asHDhwlrIqRCiITmafUVNi+Fi6Ynw1l7IjTujycrnu1IAUCsVTOmT4OUcCVFz6lXQYjQa6dSpEx988EGl0icnJ5OUlESfPn3Yv38/zz33HE8++STffPNNDedUCNFQOBwOjuQcASBUG0rExcsjdAKiQKf3Ys6c/vXzWfKKnH1sRnSOIUavu8YVQtRfam9noCqGDRvGsGHDKp1+4cKFxMXF8c477wCQmJjI3r17mT9/PnfddVdNZVMI0YBcKLxArsk5xDkxuCWKwgPOE028X8tittpZsu20a/+Rfi29mBshal69ClqqateuXQwZMsTt2NChQ1myZAkWiwWNRlPudSaTCZPJ5No3GAwAWCwWLBZLzWW4ASkpJymvqpFyq7qaLrNDmYdc2zdqQlzbttBW2L38/+nb/Wmk5zn72Ay4MZyEUG2ly0E+a1UnZXZ9PFleDTpoycjIIDLSfd2NyMhIrFYrWVlZREeXP1vkm2++yezZs8sc37RpE35+fjWS14Zqw4YN3s5CvSTlVnU1VWY/Fv3o2vZLSXdtH7pg4cyaNTXyzMqwO+Dvv6oA55DrjuoM1lxHfuSzVnVSZlVTWFjosXs16KAFKLPuhuPyqqxXW4/j2WefZdq0aa59g8FAs2bNGDBgAGFhYTWT0QbGYrGwYcMGBg8eXGGNlihLyq3qarrMNmzZAGnO7aHhoZDq3G7XbxRtm/fx+PMq68ejmWTsdjZVdYnT88S4W6p0vXzWqk7K7PpkZ2d77F4NOmiJiooiIyPD7VhmZiZqtfqqwYevry++vr5ljms0GvmgVpGU2fWRcqu6miqzo5ecI4cCNAHE5aa5jquj2oEX/x99uj3Ftf1o/xuu+93ls1Z1UmZV48myqlejh6qqR48eZarx1q9fT9euXeUDJ4S4ppziHC4UXgCgTWgblFknnCe0egiI8Fq+fj6Tw96USwC0igjgtjbey4sQtaleBS0FBQUcOHCAAwecVaLJyckcOHCA1FRnfe2zzz7L+PHjXekfeeQRUlJSmDZtGkeOHGHp0qUsWbKE6dOneyX/Qoj65cr5WdoEtwTDOedOkxu9On3/ws2lCyM+3K8lSmXdWEpAiJpWr5qH9u7dy4ABA1z7Jf1OJkyYwLJlyzh//rwrgAFISEhgzZo1TJ06lQ8//JCYmBjee+89Ge4shKiUkvlZANpqgkpPeHFSuWMZ+fx4NBOAmGAtIzrFeC0vQtS2ehW09O/f39WRtjzLli0rc6xfv37s27evBnMlhGiorgxa2liu+O5p0sYLuXFatLW0luWBPi3wUderCnMhqkU+7UIIUYGShRJ9Vb4k5GeVnvDSmkNpuUV8d8A57DpYp2Fct2ZeyYcQ3iJBixBClMNoMZJicI7QaR3SGnX2ydKTXmoe+mDjCax2Z43PhB7x+PvWq8pyIapNghYhhCjHtnPbXNtt9a0geatzxzcIgmu/hmPvmRy+2nMWAH8fFRN6Nq/1PAjhbRK0CCFEOb4+/rVre6jNB8wFzp32o0FZu1+dZqudZ/990LU/feiNhAWUnUtKiIZOghYhhPiDFEMKP2X8BEB8UDxdT2wuPXnT+PIvqkGfbDvNiUxn0NSxaTDjezSv9TwIURdI0CKEEH/wzfFvXNt3x/RFcXaPcyeiHcTeXKt5OZNl5N0fnZPaqZQK3hjVAZXMyyIaKQlahBDiCmabmZUnVwKgVqoZkZNZevLm+2t1UjmHw8HzKw9httoBmNyrOe1jg2vt+ULUNRK0CCHEFTae3cglk3OK/EHNbiP04L+dJ1Q+0HFsreZl5YE0tp90DrWO1et4apD3JrUToi6QoEUIIa5wZQfcu7WxUHh5hdrE4eAXWmv5uGQ08+r3pZPbvXJnOxniLBo9CVqEEOKyVEMqP513dsCNC4yj24ntpSdvur9W8/Lm2iPkGM0AJHWIYmBiZK0+X4i6SIIWIYS47JsTpR1w72o2EOWpjc4dfRwk9Ku1fOw+nc3/7nUuzhjoq+al4e1q7dlC1GUStAghBGCxWdw64N5pyAcurzd00/21NjeLyWrjuW9L52SZ8acbiQzS1sqzhajrJGgRQghg09lN5BTnAHBbs9sI++1y3xaFEjrfV2v5WLj5NKcvGgHo3EzPfbfG19qzhajrJGgRQgj+0AE38AbIS3XutBwIwU1rJQ+nLhbw4SbnGkcqpYI3R8ucLEJcSYIWIUSjdzb/LLvO7wKgaUBTbj21u/TkzbUzA67D4WDWtwcx25xzskzpk0BidFCtPFuI+kKCFiFEo3flDLh3NR+G8tga545fOLT+U63k4etfzrH7tLN5qmmIjqcGypwsQvyRBC1CiEbNYrPw7clvAVAr1IwsNIPNOdSYzveC2qfG85BjNPPGmtI5WV4b2R6dj6rGnytEfSNBixCiUdt8brOrA+6AuAGEH/tv6claWhzxtdW/c6nQAsDwTjH0vzGiVp4rRH0jQYsQolFbm7zWtX13q7shJ9m5E9QUmtR8E83Ok1n8e1+a85FaNS/ckVjjzxSivpKgRQjRqKUanKOE1Ao1tza5CQqda/0QGFXjzy622Ji18pBr/5lhiUQEypwsQlREghYhRKOWUZgBQIRfBKqi7NITtRC0fLTpJMlZzjlZusaHMK5bsxp/phD1mQQtQohGq8haRJ4pD4Ao/yjIv1B6soaDlpOZ+Xy85RQAaqWCN0Z3QClzsghxVRK0CCEarQxjhms70j8S8s+XnqzhoOXV749gsTmXCXi4XwtaRwbW6POEaAgkaBFCNFpXBi1R/lFQULpPQM0FLdtPZLHl+EUAYvU6/npbqxp7lhANiQQtQohGyy1o8aud5iG73cGba0vnZJk+tDVajczJIkRlSNAihGi0SjrhQkmflppvHvru13QOpxsAaBsdxJ2dYmvkOUI0RBK0CCEarQvG0poVZ/PQFTUtNdA8VGyxMW/dMdf+c0mJ0vlWiCqQoEUI0WiV6dOSf3lfqQa/MI8/7x+7zpCWWwRAv9ZN6N0q3OPPEKIhk6BFCNFolQQtvipfQnxDSoOWgEhQevbrMbfQzAcbTwKgUMAzw9p49P5CNAYStAghGq2SPi2RfpEo7DYwOkf0EBDp8Wd9uOkkhmIrAHfd3JTE6CCPP0OIhk6CFiFEo5Rvzsdocc5GG+UfBcZMwDlvCoHRHn3W2ZxCPt+ZAoCvWsm0wTW/ppEQDZEELUKIRqnC/iwAgZ6taXl7/THMNjsAk3snEKPXefT+QjQWErQIIRolt9lw/SIh53TpSQ/WtBxKy2PlgXQAQvw0PNq/pcfuLURjI0GLEKJRKjNHy5FVpSebdvPIMxwOB2+sKZ1I7smBrQjSajxybyEaIwlahBCN0tHso67tWG04nFjv3PELg+Z9PPKMzccvsvOUc+XouFA//nxrvEfuK0RjJUGLEKLRcTgcbDm3BQAfpQ835V0ES6HzZJs7QKWu9jNsdgdz1pQGRjP+dCM+avnKFaI65DdICNHoHL90nAuFztlvu0V3w+/omtKT7UZ65Bnf7DvHsQv5AHRqpuf2Dp4dkSREYyRBixCi0SmpZQHoF9WjtGlIFwrN+1b7/kVmGwvWH3ftPzesDQqFTNcvRHVJ0CKEaHS2nC0NWvqa7aVNQ4meaRpauiOZDEMxAIMSI7m1heeXBBCiMZKgRQjRqGQVZXEw6yAAN+hvIPZUaQBD2+o3DWUXmPh48ykAlAp4ZtiN1b6nEMJJghYhRKOyPW07jssz3/aP6QXH1zlP6EIgofpNQ+9vPEmByTld/9hucdwQEVjtewohnCRoEUI0KlvPbXVt97P7/mHUUPXmUMkvtvDlT87p+v18VEwd3Kpa9xNCuJOgRQjRaFhsFnak7QBA76unQ8ovpSc9MGroYFoeFpuzFufOzrFEBGqrfU8hRCkJWoQQjcbeC3sptDprVvpE90DlGjUUAgn9qn3/g+fyXNs3xemrfT8hhDsJWoQQjcaVTUN9VcFweZVn2txe7aYhgN/SSoOWjk2Dq30/IYQ7CVqEEI2Cw+Fg89nNAKgVanqdP1Z6su0ojzyjpKZFp1FxQ5MAj9xTCFFKghYhRKOQbEjmXME5ALpEdiGwZKizVg8tqt80dMloJjXH2fTULiYItUq+XoXwNPmtEkI0Cm4TysX0gOJc505kO480DR28ommogzQNCVEjJGgRQjQKJaOGAPqFtCs94eeZ2WoPSn8WIWqcBC1CiEYh3ZgOQJBPEPEKn9IT/k08cv/fzuW6tjs2lZFDQtQECVqEEI1CrskZVIRoQ6Awu/SEf7hH7l/SCTfAV01CmL9H7imEcCdBixCiwbPZbeSb8wEI9gkGY1bpSb/qBy0X802k5zkXSGwfG4RSKSs6C1ETJGgRQjR4BrPBtR3sGwyFVwQt/tXv03IwTZqGhKgNErQIIRq8PFNpJ9lg32AwXiw96YE+Lb+dk064QtQGCVqEEA1eSX8WKAlarujT4oHmoSun7+8YKzUtQtQUCVqEEA3e1ZuHqhe0OBwOfr0ctATrNDQL1VXrfkKIiknQIoRo8NxqWtw64ipAF1qte2cYiskqMAHOpiGFQjrhClFTJGgRQjR4V/Zp0fvqS/u06EJApa7WvaU/ixC1R4IWIUSDV6Yjbsk8LR6Yo+XK/iwdpD+LEDVKghYhRIPn1jykCQBzgXNHUf2vwJOZBa7tttFB1b6fEKJiErQIIRo8g+mKjri6UIjq4Ny5eBQu/F6te6fnFQGgVEC0Xlutewkhrk6CFiFEg3dlTUuQTxDcdH/pyf1fVOveaZecQUtUkBaNSr5ShahJ1euBJsqw2WxYLBZvZ8PrLBYLarWa4uJibDabt7NTbzT0ctNoNKhUqlp/rq/K17W9MXUjozrcA+tfAJsJfvsXDHoZ1D4VXl+RIrONbKMZgNgQGeosRE2ToMVDHA4HGRkZ5OXl4XA4vJ0dr3M4HERFRXH27FkZAloFDb3cFAoFwcHBREVF1er73dvmXjaf2wzA27+8Tb9m/QhNvAMOfePslHtsDbQbWeX7puUWubZj9BK0CFHTJGjxkLy8PHJzc2nSpAn+/v4N8g9OVdjtdgoKCggICECplCrzymrI5eZwODAajVy8eBGdTodeX3sjbXrG9mRYwjDWJq8lz5TH/J/n88ZNf3EGLQD7l1c7aImVoEWIGidBiwc4HA4yMzMJCgoiPNwzy9zXd3a7HbPZjFarbXB/fGtSQy83nU6HyWQiMzOT4ODanYhtRrcZbE/bTr45n1WnVzGixXC6B8dBXiqc/BHyzkFw0yrds6Q/C0jzkBC1oV5+K3700UckJCSg1Wrp0qUL27ZtqzDt5s2bUSgUZX6OHj3qsfzYbDZsNhtBQTLcUYhrCQoKcv3O1KZwXTjTukxz7b/602sUdxp7ec8BB76q8j3Tcgtd21LTIkTNq3dBy4oVK3jqqaeYNWsW+/fvp0+fPgwbNozU1NSrXnfs2DHOnz/v+mnVqpXH8mS1WgFQq6XiSohrKfk9Kfm9qU2jW43m5oibAUjNT+UTnQK4XNuzfznY7VW635U1LU2lpkWIGlfvgpYFCxbwwAMPMGXKFBITE3nnnXdo1qwZH3/88VWvi4iIICoqyvVTEyMYGns/FiEqw5u/J0qFkhd7vIha6Qyclp78mlMtejlP5qbAmYprbcsjHXGFqF31qmrAbDbzyy+/8Mwzz7gdHzJkCDt37rzqtTfddBPFxcW0bduW559/ngEDBlSY1mQyYTKZXPsGg3NiKovFUu5wZovFgsPhwG63Y6/iv9QaqpIRVCXlIiqnMZSb3W7H4XBgsVg88o+Hkt/Jyk41EOcfx8TEiXx6+FOsdiuz/R0sw/kvOPu+f2Br1rPSzz53uaYlxE+DRuGoV9MdVLXchJTZ9fJkedWroCUrKwubzUZkZKTb8cjISDIyMsq9Jjo6msWLF9OlSxdMJhPLly9n4MCBbN68mb59+5Z7zZtvvsns2bPLHN+0aRN+fn5ljqvVaqKioigoKMBsNl/HmzVc+fn53s5CvdSQy81sNlNUVMTWrVs92kS0YcOGSqeNdcQSpgwj257NfuNZ/jcolHGGHByH/8MGxUAsav9r3sPmgIw8FaAgQGFmzZo11ci991Sl3ISTlFnVFBYWXjtRJdWroKXEH6uXHQ5HhVXON954IzfeeKNrv0ePHpw9e5b58+dXGLQ8++yzTJtW2mHPYDDQrFkzBgwYQFhYWJn0xcXFnD17loCAALTahjeN97Jly3jggQdc+76+vuj1ehITExk8eDCTJ08mIiLCdX727Nm88sorrn2dTkdoaCht27bljjvuYMKECQQGBro9Y9KkSfzjH/8gICCAtLQ0AgIC3M6npKTQsmVLHA4HL774Ii+99BLg7Gg9cODACvO+ZMkSJk6cSFZWFh06dKB169Zs2rTJbWSO2Wzm1ltvxWAwcODAgTJ5q00Oh4P8/HwCAwMbbHNjcXExOp2Ovn37euT3xWKxsGHDBgYPHoxGo6n0dVEZUTy68VEA3gvXM6ggl3C7haHh57H3fPKa16flFuHY7WxOahMXSVJS5+t7AS+53nJrzKTMrk92drbH7lWvgpbw8HBUKlWZWpXMzMwytS9X0717d774ouKpu319ffH19S1zXKPRlPtBtdlsKBQKlEplgxymWvJOn332GW3atMFisZCZmcn27dt56623ePvtt1mxYgWDBg0CSoPKr7/+mujoaKxWK+np6fz444/MnDmT+fPns2rVKjp16uR6hkKhQKPRYLVa+b//+z+3IAng888/JzAwEIPB4CrrK/P2xhtvlNvk17JlS5RKJRERESxatIhRo0bx7rvv8re//c2VZvbs2Rw8eJAff/yR4OBgD5Zc1ZU0CV35jg2NUql0/f/25Bd/Ve/Xu1lvhrcYzqrTq8h3WHkrLIS3Lmaj2vMxqh6Pgk/ZWtUrXcgvXc+oWah/vf0j5un/D42BlFnVeLKs6tW3oo+PD126dClTNbdhwwZ69qx8O/T+/fuJjo72dPYavPbt29O9e3f69OnDXXfdxd///nd+++03/P39GT16NBcuXHBL37lzZ7p3707fvn0ZN24cn3zyCbt378ZgMDBixAi3fkPg/P87cuRIli5d6nbc4XCwbNkyxo4dS0VatWpF9+7dy/w0adLElWbkyJH85S9/4fnnn+fIkSMA7Nq1i3nz5vHEE09ctZ+TaJimd5tOsK8zUF0b4M92nRaMF2HfP655rdvEcjJySIhaUa+CFoBp06bx6aefsnTpUo4cOcLUqVNJTU3lkUceAZxNO+PHj3elf+edd1i5ciUnTpzg8OHDPPvss3zzzTc88cQT3nqFBiUuLo63336b/Px8Fi1adM30nTp1YtasWaSmprJixYoy5ydPnszOnTs5duyY69gPP/xASkoKkyZNqnZ+33vvPUJDQ5kwYQIGg4EJEybQokUL5syZU+17i/onVBvK37qU1rq9FB5KnlIBO98D69X7pxmKSjsXFppqf/i2EI1RvWoeAhg7dizZ2dm88sornD9/nvbt27NmzRri4+MBOH/+vNucLWazmenTp5OWloZOp6Ndu3asXr2apKSkWsnv8Pe3czHfdO2EtaBJoC+r/trb4/dNSkpCpVKxdevWSqUfMWIEM2bMYOvWrW4BJsCgQYOIj49n6dKlzJ07F3D2S+nbt+9V59ax2+3ldur849w5ISEhfPLJJ9x+++3cfPPNJCcns23btnI7WIvGYeQNI1mTvIbd53eTqVYzJyyUNy+mwa9fQZcJFV7Xu1U4CgU4HLB0RzKTeicQ4FvvvlKFqFfq5W/YY489xmOPPVbuuWXLlrntz5gxgxkzZtRCrsp3Md9EhqHYa8+vDf7+/oSHh5Oenl6p9CUBZnnpFQoFEydOZNGiRbz++usYDAZWrlx5zVqcipqOzp49S9Om7lOzJyUlMWTIENavX88TTzxRpaZF0fAoFApe7fUqo/8zmnxLPt8H+DPQWMig7X+Hzn8GVflfkzdEBDKiUwz/OZDOpUILn+88w+MDbqjl3AvRuNTLoKU+aRJYtkOvt9RkXqqysvW10k6aNIlXXnmFtWvXcubMGXx8fLjnnnuuOmxu7ty53HbbbWWOl9dB+9dff3WNINqyZQtmsxkfH59K5180PFH+UTxz6zPM2j4LgFfDQ7npXAphh7+FjvdUeN2TA1ux6td07A5YvPU043vEE6iVDppC1BQJWmpYTTTH1DVGo5Hs7Gw6dOhQqfQpKSkAxMTElHs+Pj6egQMHsnTpUs6cOcO4cePw8/O7atDSokULunbtes1nWywWJkyYQExMDO+++y6jRo3i1Vdf5dVXX61U3kXDNbzFcH5M+ZGNZzeSo1LxSngo72ybh6L9XVDBSK6WTQIYeVMs/96XRl6Rhc92nOHJgZ5bIkQI4a7edcQVdc/q1aux2Wz079+/Uum/++47gKumnzx5Mt999x0HDhxg8uTJHsil0yuvvMJvv/3G0qVLufPOO3nkkUeYM2cO+/bt89gzRP2kUCh4sceLhGpDANjo78eqonNwbPVVr3vytlaolM5h/p9sO01ekcyWKkRNkaBFVEtqairTp08nODiYhx9++Jrpf/31V9544w2aN2/OmDFjKkw3atQoRo0axeTJk+nevbtH8rp3717mzJnDY4895mpKeuutt2jatCkTJ06U2YwFYbowXuz+kmv/zbAQMrbOdfa2rUDzcH/uujkWgPxiK0u2J9d4PoVorKR5SFTaoUOHsFqtWK1WMjMz2bZtG5999hkqlYpvv/3WbU4UgAMHDnDhwgVsNptrcrnly5cTERHBqlX28C5UAAAgAElEQVSrrtqPRKvV8vXXX1c6bydOnGD37t1ljjdt2pSmTZtiMpmYMGEC8fHxrlFJAAEBASxdupSBAwdKM5EAYGD8QIa3uINVp7+nQKnkBUcGi354GeVtz4Oq/P4qf72tFf/el4bV7mDp9mQm92qO3k/6SQnhaRK0iEormSfFx8fHNY3/zJkzmTJlSpmABeDuu+8GnDMMh4aG0qFDB+bOncukSZM8PlX+c889V+7xWbNm8dprr/HCCy9w9OhRtmzZgr+/+7oyAwYM4NFHH2XOnDmMGjWKm2++2aN5E/XPM7c+y56z27hgyWO3TseK3z7l3tObYNRiiGhTJn2zUD/GdGvGP39KpcBk5ZNtp3l6aNl0QojqUTiqMuyjkTIYDAQHB5OVlVXh2kPJyckkJCQ0yLWHrofdbsdgMBAUFNRgp6OvCY2h3Dz9+2KxWFizZg1JSUkenS58Z9pOHv7B2eSptdv5Oi2DeIcKBr0Etz5apnNuWm4RA+Ztxmyz4+ejYvvM2wj1r7u1LTVVbg2ZlNn1yc7OJjw8nLy8PIKCgqp1r4b5rSiEENXUM7YnY290zv9TrFTyQHQE3+nU2NY9B/8YAbmpbulj9TrG3dIMgEKzjUVbTtV6noVo6CRoEUKICkzrMo24wDgALqjVzGoSxtiYKHZe+Bk+6gn7v3TrpPtY/xvwUTu/Vj/fdabOzIYtREMhQYsQQlTAT+PH4iGL6RPbx3XsmK8PD0dF8FColqNr/wdW/AUKLgIQFazlz7c6g5xii50PNp6o0sSLQoirk6BFCCGuIjYglo8GfcSnQz6lbVhb1/FdOh1jYqJ4LmsX6Yt6wlHnfC6P9m+JVlNS25LC2MW7+flMjlfyLkRDI0GLEEJUwq3Rt/LV7V8xt89cYgOc87I4FApWBfozPNSXBeseI+/bh4jQmHmsf+kaRHuSc7hn4S4mLN3Db+dyvZV9IRoECVqEEKKSlAolSS2S+G7kdzzd9WmCNM6h+2algs/0QSRd2s7nn/Xi4eZnee/em2gRXjq8fsvxi4z4YAcPL9/L8Qv53noFIeo1CVqEEKKKfFQ+jG83njV3rWVSu0n4KFQAGFQq5vvBnZseR3ViKuvutDF/dCKxep3r2nWHLzD0na089a/9nMkyeusVhKiXJGgRQojrFOwbzLSu0/h+9FpGNL0NxeU+t2kaNc8Yf+fPmx6j2dYBbI1fwj+7HKNtQAHgHHC08kA6Axds4dl//0Z6bpEX30KI+kOCFiGEqKbogGheH/gu/3vHCnr4NXUdP+Lrw5QmQTyR+xPhx99gjfUh9obP5nnt/9FFcQyH3cZXe87Sf95mXv7usAyRFuIaZBp/IYTwkDbhbVl8z1p2Jq9jwc/zOFZ0AYDtfjp26LQMKCyiT9E5bledZIrvt+Q6Athi78gmW2f+s7MjK34+y8RezXm4bwtZu0iIckhNi7imZcuWoVAoXD9arZaoqCgGDBjAm2++SWZmplv6l19+GZVKRUhICCqVCj8/P5o2bcrQoUN5//33yc8v2wlx4sSJbs9QqVQ0bdqUMWPGcOjQodp6VSE8omfCUFbcvY7Xe79OlF8U4BxptNHfj9nhYQyJi2VkbBSLw9Q0CdjHHN+P+cX3Ub5UzEK9bR4Pz13CuxuOUWCyevlNhKhbpKZFVNpnn31GmzZtsFgsZGZmsn37dubOncv8+fNZsWIFgwYNckv/9ddfEx0djdVqda3yPGPGDObNm8eqVavo1KmTW3qdTsfGjRsBsFqtnDx5ktdee42ePXty5MgRYmNja+1dhagulVLFiJYjGBI/hH8e/SfLDi3jkumS6/wpHx9O+fiwPDgIX7udrsUmehVdYFTRSqZZvubidj0/7LgJ//bD6DN0DNrAEC++jRB1gwQtotLat29P165dXft33XUXU6dOpXfv3owePZoTJ04QGRnpOt+5c2cSEhJcC/+NGzeOJ554gn79+jFixAiOHz+Or6+vK71SqaR79+6u/d69exMXF8fAgQNZvXo1Dz30UC28pRCepVVrmdx+MhPaTuBw9mF2pO1gR/oODmYdxO6wA2BSKtnhp2OHnw4IIdpqpVdhEb2LdnPL4c2oDz1LRshNhN88HPWNf4ImN4JC4d0XE8ILpHlIVEtcXBxvv/02+fn5LFq06JrpO3XqxKxZs0hNTWXFihXXTB8cHAzgtqJqSXPVxo0befDBBwkLCyMoKIjx48djNBrJyMhgzJgx6PV6oqOjmT59OhaL5fpfUggPUClVdGzSkUc7P8oXSV+wdexW5vebz6gbRhHhF+GW9rxazddBgTwV2YQ+8U15IDqM7+zHObbtNewf3YrjnQ7w/TQ4vg7MhV56IyFqn9S0iGpLSkpCpVKxdevWSqUfMWIEM2bMYOvWrYwfP97tnNVqdf335MmTPP3004SEhHD77beXuc+UKVMYPXo0//rXv9i/fz/PPfccVquVY8eOMXr0aB566CF++OEH5s6dS0xMDNOmTav+ywrhIcG+wQxtPpShzYficDg4mXuSnek72Z62nV8u/ILF7gy0bQoF+7Ra9mm1vI+eUJuNHkWF9Dr6FT32fUYIagpjeqJtNwxNy34Q3hqUKi+/nRA1Q4KWmraoHxRkXjtdbQiIgIe3ePy2/v7+hIeHk56eXqn08fHxAGXSG41GtxoVgOjoaFatWkVEhPu/RAHuuOMO5s+fD8DgwYPZtWsXX331FQsWLGDq1KkADBo0iHXr1vHll19K0CLqLIVCQauQVrQKacWEdhMotBSy98JedqbvZEfaDs4YzrjS5qhUrA7wZ3WAc7bdRJOZXsb99Nqyi07rTDgUWnKD26CI7oS+ZVc0TW92NiepNBU8XYj6Q4KWmlaQCfmV+2Nen1VlJduK0up0Oldtjd1uJy0tjXfffZekpCT++9//0qNHD7f0d9xxh9t+YmIiK1euLFMrk5iYyPr16yudPyG8zU/jR9+mfenbtC8A5/LPsTN9J6tObOJg9l5sFLvSHvH14YivD5/qg/G327m1qJheRSfpeeIgmiOfA2BR+JAb2ApHdGeCW3TFt9lNENLKK+8mRHVI0FLTAsrWEHhNDeXFaDSSnZ1Nhw4dKpU+JSUFgJiYGLfjSqXSraMvwNChQ2nWrBnTpk1j165dbudCQ0Pd9n18fCo8XlxcjBD1VdPApoy5cQxjbhyDxWbhwMUDbE7dxubU7aQaT7jSGZVKNvr7sdHfD4DmZgs3mUzEWK3EWpOJOXMS+8l/0cRmQ4Gam9WxZBu+I7jlLejiukBkO9DoKsqGEF4nQUtNq4HmmLpm9erV2Gw2+vfvX6n03333HUCl0vv5+dGyZUt+/fXXauRQiIZDo9LQLaob3aK68fQt08gqymJX+i52pO9gR9oOck2lK0mf8dFwxqdss5Da4SDKaiXWWkRM3kai96wndqeNKKuNAE0s+vCO6Ft0wy++C0S2B9+A2nxFISokQYuoltTUVKZPn05wcDAPP/zwNdP/+uuvvPHGGzRv3pwxY8ZcM31BQQEnT54st0+LEALCdeEMbzmc4S2HY3fYOZJzxDmsOm0Hv178FZvDVuYaq0LBOY2Gc5ry+rlYUDv2EnnsJ2IPW4m2WgklkHD/ZjSPas8NCT2JiOuN2i+s5l9OiD+QoEVU2qFDh7BarVitVjIzM9m2bRufffYZKpWKb7/9liZNmrilP3DgABcuXMBms7kml1u+fDkRERGsWrXK1ZxTwm63s3v3btd2Wloa7733HpcuXeLll1+urdcUot5SKpS0C2tHu7B2PNTxIYwWI6mGVNIL0kkrSOO88TxpBWmkFaRz1nCOIlv5q0xbFQrSNGrSNCV/IhxAKmSmQuYaVLsdNLFBpDKA2IAo4sJaERvVmdjQ1sQExBDpF4laKX9ehOfJp0pU2qRJkwBnHxG9Xk9iYiIzZ85kypQpZQIWgLvvvhsAX19fQkND6dChA3PnzmXSpEkEBgaWSV9UVOTW2TYiIoLExES+/fZbRo4cWUNvJUTD5a/xJzEskcSwxDLnLBYL33z/De17tedC8QXOGdI4kpXK6ewzXDSmkG/LxqQsf34jm0JBhhoyMPJr4SkoPAVn/+s6r0JBpK+emMA4YoLjiQmIIcY/htiAWGdQ4x+JRimjmUTVKRxVGfbRSBkMBoKDg8nKyiIsrGyVaHFxMcnJySQkJKDVar2Qw7rHbrdjMBgICgpyzYgrrq0xlJunf18sFgtr1qwhKSmpzJB5UbHKlFtucR57006z9+xRzqbvJy//BMW2DIrVRi6pbRhU1/cZVaIg0ieYGL9IYgObEq1vQWxgM2dwExBDlH9UnQxq5LN2fbKzswkPDycvL4+goKBq3UtqWoQQQpRLrw1mUMubGNTyJuBewDllQWpOIYfP5nDm1E9cOr8La+ERNKrzoM7jokZBmlpNulpFnqr8Se7sODhvzuW8OZdfco/B2R/dziuBCJWOGB89MboIYgKbEqtPICa0DbH6Fs6gRuadaZQkaBFCCFFpCoWC+DB/4sP8oXMz4G4cDgfpecUcOpdD+slDtDm7D//zh4m1n0CnyaRQU0SGWkW6Rk26Wk2aWkW6Wk1uhUENZNiKyCgqYl/Recj5FVKuyIMDmqAiWqkjyieIUK2eEF04If6R6AObEhIchz6oGSHaEEJ8QyTAaUAkaBFCCFEtCoWCWL2OWH0stI8FhgJwwVDMobQ8Dp+7REpqClkZKSiNmTRX5HILlwhW5qD2uYRdk4dJU0i+2kyGRkn65aDmUgVBjUMBmdjIdBTwq6kATOmQV3H+/BxKghU+BKv9CPEJJswvlDD/SPSBMYQExKLXOYObkiAnyDcIpaJhNs/WdxK0CCGEqBGRQVoig7QMTIwE2gCQVWDiZGYBOUYzOUYzl4xmso1mLhWaySkwYTHmoM7NpGVRJgH2TPx8MtFosnFo8jBpjBRoTOSo7VzQKMmpIKj5o0KFnUKKOW8tBmsOFCZDVsXpFUCAQkuQ2h+9r54wvwiaBEYR5KsnozgD+2k74f7hhGhD0PvqCdGG4Kf2QyErb9c4CVqEEELUmvAAX8IDfCuVtshsI6fQGdjkXPFzqdBMgSEXc34qJuMZ7OZ07LaL4MhBqcpHoSrEpjJhUlkwquxcUqq4pFJW2MfmjxxAvqOYfEsxaZZsKDgFVywht3b32jLXqFERoA4k2DeUEF0YTfxCCdNdrr25XIOj1+qd/70c6PiofMrcR1ydBC1CCCHqJJ2PilgfHbH6ipYWuNVtz+FwYCi2ltbeGM3k5hdgyk3HmpeBPT8dS9E5rKYM7LYs7OTiUBixq4swKy3kqZRcuvyTeznQKazkKD4rNnKtueRac0kxnq7UNVqFL4HqAPQ+wYToQmniH06Yf0RpDc4VgU6INoQgnyBUjXwFbwlahBBCNAgKhYJgnYZgnYbm4f6Xj0YCLSu8xmKzk1to4VJBEfnZ5ynOScOcex57fgZK4wUozMBqycRqz8HhyMOmLCRfBbkqZ1BzSal0biuV5KqcTVbWSjYTFTtMFFtMXLRkg/H0VZuswNkBOVChJljhg16lI1TjT5hvECG+QZcDnBBC/MIJ8YtE7x9FSEA0/n4RKNQNpyOyBC1CCCEaLY1KSZNAX5oE+kK0Hig7EV8Ji8XCmtWrGd77FopyMzBmp2G6dB6b4TwUZKA2ZqIpzkRpycbquESRwuqstbkc1Fy5natSckmpIlelJFepxFGJQMehAANWDA4rZ62FYM2Goqtfo3Y4CLHZ0TsU6FHip1ChU2rwVWrQqnzRqXzRqrVo1Tq0aj+0Pv5oNQFofQLQ+gZd/tGj0+rR6kLx1YWg89Xjq9Z6pdZHghYhhBCishQKtMFNCAyPgRtuvnpaUz4UZOLIP0+hIYfC/DyKjHmYjAbMhQasxfnYiwuwm/IptOZTaDdSSBHFChNFSguFKiuFSgd5KgWXVCpylSXNVyqMlW22Uii4qFZx0XXEdvmnGGz5zk3z9RWFj8OBr0OBFgVahQpfhQqdQo2vUoNO5YNOrUWr0uIweW4klgQtQgghRE3wDQTfQBRhLfEH/K95QSmrzU5ukYVLBSYuGQzk5+VSkJ9LYUEexUYDhcYc8k1ZFJouUWTLxWTPx6o0YlWZsKpMmFUWTCorRpUNo8qOQUWlm60qy6xQYFZAPg7A6vxxmErjosvBkK2o7KKd10uCFiGEEKKOUauUpSOtooKApte8pthicxthVTKkPMdoJttoIttoJLswH0ORgaKiHCymPDSKAnyVhfgoi/BRFKFWFqNWFqNSmFAqzSiUZlBYQGnFrrDiUNqwKmxYlXYsCgcWhQOzEooVCooVCkw1vPyIBC3iqpYtW+ZaKHHTpk3079/f7bzD4aBVq1acOnWKfv36sXnzZo89W6FQ8NJLL1V5heczZ86QkJDAZ599xsSJE6+Zbt68eUyfPv2a9z116hRt27Zl8+bNbgs7AqxatYrFixezZ88eLl26REBAADfddBOTJ09mzJgxaDSaKj+vJhw/fpzFixezadMmTp06hVKpJDExkalTp7oWuCzxww8/MHfuXA4fPkx2djbBwcG0b9+e6dOnk5SU5EpnsVho06YNf/3rX3nqqadq+5WEEJdpNSpi9DpiKhxt5c7hcJBvsroCG5PVjrnkx2bHYrOXPXb5v2ar85zFZsdssYG1EIXZiNKcj8NqQGEzgM0AtgLMhdkc4YhH3lGCFlEpgYGBLFmypEzQsmXLFk6dOlXuqs0NzfTp0xk8eLBbwOJwOJg8eTLLli0jKSmJBQsW0KxZM/Ly8ti0aROPPfYYWVlZ/M///I8Xc15q/fr1rF69mvvvv59u3bphtVpZsWIF99xzD7Nnz+bFF190pc3OzqZdu3ZMmTKFqKgocnJyWLhwIbfffjvLly/nL3/5CwAajYYXX3yRqVOncv/995e7qKgQou5RKBQEaTUEaTXOZRlqSHZ2Nn9/4VOP3EuCFlEpY8eO5csvv+TDDz90W6VzyZIl9OjRA4PB4MXc1bwjR46wcuVK/vvf/7odnzdvHsuWLSvzBx9g+PDhzJgxg5MnT9ZmVikqKkKr1ZY7O+e4ceN4/PHH3c4NGzaMrKws5s6dy8yZM/H1dU78NXbsWMaOHet2/R133EFCQgKLFy92BS0A9957L9OmTWPRokU899xzNfRmQojGThZXEJVy773OFV6/+uor17G8vDy++eYbJk+eXO41ly5d4vHHHyc2NhYfHx9atGjBrFmzMJlMbukMBgMPPvggYWFhBAQE8Kc//Ynjx4+Xe88TJ05w3333ERERga+vL4mJiXz44YceesuKffzxx0RFRTF48GDXMYvFwty5c2nTpg0vvPBCuddFRUXRu3fvMscXLFhAQkICAQEB9OjRg927d7ud37t3L+PGjaN58+bodDqaN2/OvffeS0pKilu6ZcuWoVAoWL9+PZMnT6ZJkyb4+fmVKeMS4eHh5QYzt9xyC4WFheTk5Fy1HDQaDXq9HrXa/d87Pj4+jB07lsWLF+NwOK56DyGEuF5S01LDxn4/lqyia8wYVEvCdeGsuGPFdV0bFBTE3XffzdKlS3n44YcBZwCjVCoZO3Ys77zzjlv64uJihg8fzpkzZ5g9ezYdO3Zk27ZtvPnmmxw4cIDVq1cDzuaVkSNHsnPnTl588UW6devGjh07GDZsWJk8/P777/Ts2ZO4uDjefvttoqKiWLduHU8++SRZWVm89NJL1/VulbF69Wr69u2L8opOZnv37iUnJ4cHH3ywSmuOfPjhh7Rp08ZVZi+88AJJSUkkJye7mtnOnDnDjTfeyLhx4wgNDeX8+fN8/PHHdOvWjd9//53w8HC3e06ePNnVbGM0GtFoqjaZ1KZNm2jSpAkRERFlztntdux2O5mZmSxatIjjx48zd+7cMun69+/Pxx9/zKFDh+jQoUOVni+EEJUhQUsNyyrKIrMw89oJ64HJkyczYMAADh8+TLt27Vi6dCn33HNPuf1ZPv/8cw4fPsy//vUvVxPD4MGDCQgIYObMmWzYsIHBgwezbt06Nm3axLvvvsuTTz7pSufj48OsWbPc7jlt2jQCAwPZvn27q4lq8ODBmEwm5syZw5NPPklISIjH3zszM5PTp0/z0EMPuR1PTU0FICEhoUr3CwwM5Pvvv0d1eR2UmJgYbrnlFtauXcuYMWMAuPvuu13bADabjTvuuIPIyEj++c9/usqqxMCBA1m0aFGV3w3g008/ZfPmzbz77ruuPF0pKSmJdevWAc7gdcWKFdx+++1l0t18s3POih07dkjQIoSoEdI8VMPCdeFE+EXUiZ9wXfi1M3wV/fr1o2XLlixdupSDBw/y888/V9g0tGnTJvz9/cuMSCkZzfPjjz+60gH8+c9/dkt33333ue0XFxfz448/MmrUKPz8/LBara6fpKQkiouLyzSxeEp6ejpAubUQ1+P22293Cw46duwI4Nb0U1BQwMyZM7nhhhtQq9Wo1WoCAgIwGo0cOVK2F/5dd911XXlZu3Ytjz/+OHfffTd//etfy03z/vvvs2fPHv7zn/8wdOhQxo4d69ZMWKKkfNLS0q4rL0IIcS1S01LDrrc5pi5SKBRMmjSJ9957j+LiYlq3bk2fPn3KTZuTk0NERESZZpOIiAjUajXZ2dmAs1e5Wq0uM+IkKirKbT87Oxur1cr777/P+++/X+4zs7JqphmuqMg5T7ZWq3U7HhcXB0BycnKV7vfHdy3p+FryHHAGcRs3buSFF16gW7duBAUFoVAoSEpKcktXIjo6ukp5AFi3bh2jR49m8ODBfPnllxU2cbVq1cq1PWLECIYNG8bjjz/O2LFj3ZrLSsqnvPwJIYQnSNAiqmTixIm8+OKLLFy4kNdff73CdKGhofz0009lOmVmZmZitVpdfTLCwsKwWq1kZ2e7/THPyMhwuy4kJASVSsX999/P448/Xu4zq9pMU1klef1jJ9WuXbsSGhrKf/7zH958880q9Wu5mry8PFavXs1LL73EM8884zpuMpkq7Chb1WevW7eOkSNH0q9fP7755ht8fHwqfe0tt9zCf//7Xy5evEhkZKTreEne/tjfRgghPEWah0SVxMbG8vTTTzN8+HAmTJhQYbrbbruNgoICVq5c6Xb8H//4B+DsgwEwYMAAAL788ku3dP/85z/d9v38/BgwYAD79++nY8eOdO3atcxPTc0PEh8fj06n49SpU27HNRoNM2fO5OjRo7z66qvlXpuZmcmOHTuq9DyFQoHD4XDVwJT49NNPsdmqPx32+vXrGTlyJL1792blypVlnnM1DoeDLVu2oNfry5T36dOnAWjbtm218yiEEOWRmhZRZXPmzLlmmvHjx/PBBx8wadIkUlNT6dChA9u3b+eNN94gKSmJQYMGATBkyBD69u3LjBkzMBqNdO3alR07drB8+fIy93z33Xfp3bs3ffr04dFHH6V58+bk5+dz8uRJVq1axcaNGz3+ruAczlvesGSAp59+miNHjvDSSy+xZ88e7rvvPtfkclu3bmXx4sXMnj2bXr16Vfp5QUFB9O3bl3nz5hEeHk7z5s3ZsmULS5YsQa/XV+tdtm/fzsiRI4mKiuK5557jwIEDbufbtm3r6uR855130qlTJzp37kxYWBjp6eksW7aMLVu28OGHH5YZ9rx7925UKhV9+/atVh6FEKIiErSIGqHValm1ahVz585l3rx5XLx4kdjYWKZPn+42NFmpVPLdd98xbdo03nrrLcxmM7169WLNmjW0adPG7Z5t27Zl3759vPrqqzz//PNkZmai1+tp1aqV27TyNeHPf/4zDz30EOfPn3frP6JQKPjss88YNWoUixcv5qmnnuLSpUsEBgbSuXNn5s6d61oGoSq++OILpk6dyowZM7BarfTq1YsNGzaUO2qnKn744QeKioo4c+YMt912W5nzVy7V0KtXL77++ms++OADDAYDer2erl278v3335ebj5UrV5KUlFTtwEoIISqicMhMUNdkMBgIDg4mKyur3CaI4uJikpOTSUhIKNNZs7Gy2+0YDAaCgoLcOmvWV8XFxcTFxfG3v/2NmTNn1thz6mu5nTp1ilatWrFu3Tq3CfjK4+nfF4vFwpo1a0hKSqry/DSNmZRb1UmZXZ/s7GzCw8PJy8tzm1H9etSfb0UhvEir1TJ79mwWLFiA0Wj0dnbqnNdee42BAwdeM2ARQojqkOYhISrpoYceIjc3l9OnT8vkaVewWq20bNmSZ5991ttZEUI0cBK0CFFJKpVK/jCXQ61W8/zzz3s7G0KIRkCah4QQQghRL0jQ4kHSp1mIa5PfEyHE9ZKgxQNKepEXFhZ6OSdC1H0lvycy+kIIUVXSp8UDVCoVer2ezEznas5+fn4em9K9vrLb7ZjNZoqLi+vV0F1va8jl5nA4KCwsdM2vU96K0kIIcTUStHhIyQJ/JYFLY+dwOCgqKkKn0zX6AK4qGkO56fX6MgtiCiFEZUjQ4iEKhYLo6GgiIiKwWCzezo7XWSwWtm7dSt++faUZoAoaerlpNBqpYRFCXDcJWjxMpVLJlzLOcrBarWi12gb5x7emSLkJIUTFGlajuRBCCCEaLAlahBBCCFEv1Mug5aOPPnItttalSxe2bdt21fRbtmyhS5cuaLVaWrRowcKFC2spp0IIIYTwlHoXtKxYsYKnnnqKWbNmsX//fvr06cOwYcNITU0tN31ycjJJSUn06dOH/fv389xzz/Hkk0/yzTff1HLOhRBCCFEd9S5oWbBgAQ888ABTpkwhMTGRd955h2bNmvHxxx+Xm37hwoXExcXxzjvvkJiYyJQpU5g8eTLz58+v5ZwLIYQQojrq1eghs9nML7/8wjPPPON2fMiQIezcubPca3bt2sWQIUPcjg0dOpQlS5ZgsVjKHaFhMpkwmUyu/by8PABycnKq+wqNhsViobCwkOzsbBkFUwVSblUnZXZ9pNyqTsrs+pT87fTEEh71KmjJysrCZiuwHXkAAAw9SURBVLMRGRnpdjwyMpKMjIxyr8nIyCg3vdVqJSsri+jo6DLXvPnmm8yePbvM8datW1cj90IIIUTjlZ2dTXBwcLXuUa+ClhJ/nCnU4XBcdfbQ8tKXd7zEs88+y7Rp01z7ubm5xMfHk5qaWu0CbywMBgPNmjXj7NmzBAUFeTs79YaUW9VJmV0fKbeqkzK7Pnl5ecTFxREaGlrte9WroCU8PByVSlWmViUzM7NMbUqJqKioctOr1WrCwsLKvcbX1xdfX98yx4ODg+WDWkVBQUFSZtdByq3qpMyuj5Rb1UmZXR9PrKdWrzri+vj40KVLFzZs2OB2fMOGDfTs2bPca3r06FEm/fr16+natau0SQohhBD1SL0KWgCmTZvGp59+ytKlSzly5AhTp04lNTWVRx55BHA27YwfP96V/pFHHiElJYVp06Zx5MgRli5dypIlS5g+fbq3XkEIIYQQ10H18ssvv+ztTFRF+/btCQsL44033mD+/PkUFRWxfPlyOnXqBMAXX3xBSkoKEydOBCAkJITevXuzaNEiXn31Vfbv38/rr7/uFthUhkqlon///qjV9apFzaukzK6PlFvVSZldHym3qpMyuz6eKjeFwxNjkIQQQgghali9ax4SQgghROMkQYsQQggh6gUJWoQQQghRL0jQIoQQQoh6QYKWq8jPz+epp54iPj4enU5Hz549+fnnn72drTpl69atDB8+nJiYGBQKBStXrnQ773A4ePnll4mJiUGn09G/f38OHz7spdzWDdcqs3//+98MHTqU8PBwFAoFBw4c8FJO65arlZvFYmHmzJl06NABf39/YmJiGD9+POnp6V7Msfdd67P28ssv06ZNG/z9/QkJCWHQoEH89NNPXspt3XGtcrvSww8/jEKh4J133qnFHNY91yqziRMnolAo3H66d+9e5edI0HIVU6ZMYcOGDSxfvpyDBw8yZMgQBg0aRFpamrezVmcYjUY6derEBx98UO75t956iwULFvDBBx/w888/ExUVxeDBg8nPz6/lnNYd1yozo9FIr169mDNnTi3nrG67WrkVFhayb98+XnjhBfbt28e///1vjh8/zogRI7yQ07rjWp+11q1b88EHH3Dw4EG2b99O8+bNGTJkCBcvXqzlnNYt1yq3EitXruSnn34iJiamlnJWd1WmzP70pz9x/vx518+aNWuq/iCHKFdhYaFDpVI5vv/+e7fjnTp1csyaNctLuarbAMe3337r2rfb7Y6oqCjHnDlzXMeKi4sdwcHBjoULF3oji3XOH8vsSsnJyQ7AsX///lrOVd13tXIrsWfPHgfgSElJqaVc1W2VKbO8vDwH4Pjhhx9qKVd1X0Xldu7cOUdsbKzj0KFDjvj4eMff//53L+SubiqvzCZMmOC48847q31vqWmpgNVqxWazodVq3Y7rdDq2b9/upVzVL8nJyWRkZDBkyBDXMV9fX/r168fOnTu9mDPRGOTl5aFQKNDr9d7OSr1gNptZvHgxwcHBrsk6Rfnsdjv3338/Tz/9NO3atfN2duqNzZs3ExERQevWrXnwwQfJzMys8j0kaKlAYGAgPXr04NVXXyU9PR2bzcYXX3zBTz/9xPnz572dvXqhZKHKPy5mGRkZWWYRSyE8qbi4mGeeeYb77rtPFra7hu+//56AgAC0Wi1///vf2bBhA+Hh4d7OVp02d+5c1Go1Tz75pLezUm8MGzaML7/8ko0bN/L222/z888/c9ttt2Eymap0H5mH+CqWL1/O5MmTiY2NRaVScfPNN3Pfffexb98+b2etXlEoFG77DoejzDEhPMVisTBu3DjsdjsfffSRt7NT5w0YMIADBw6QlZXFJ598wpgxY/jpp5+IiIjwdtbqpF9++YV3332Xffv2yfdYFYwdO9a13b59e7p27Up8fDyrV69m9OjRlb6P1LRcRcuWLdmyZQsFBQWcPXuWPXv2YLFYSEhI8HbW6oWoqCiAMrUqmZmZZWpfhPAEi8XCmDFjSE5OZsOGDVLLUgn+/v7ccMMNdO/enSVLlqBWq1myZIm3s1Vnbdu2jczMTOLi4lCr1ajValJSUvjb3/5G8+bNvZ29eiM6Opr4+HhOnDhRpeskaKkEf39/oqOjuXTpEuvWrePOO+/0dpbqhYSEBKKiotiwYYPrmNlsZsuWLfTs2dOLORMNUUnAcuLECX744Qf+v727C2mqD+A4/lPcgihxWy9uFwsiW0I3URfrRgwqgkTQLCpoK7CCLHohg7xwEimU1VUYQWAEvUEXBd6MzFEgRYGNurCBoVkXeWEIvQlu/Z8LaT09T2nitrPzPN8PnIu9/c+PPwx++59zdjwej9WRbMkYM+Ml+/+TXbt26cWLF4rH4+nN5/OpsbFR0WjU6ni2MTo6qrdv38rr9c7ocxwemkI0GpUxRoFAQAMDA2psbFQgENCePXusjpY3Pn36pIGBgfTjwcFBxeNxud1u+f1+HTlyRG1tbSorK1NZWZna2to0d+5c7dy508LU1ppuzj58+KDh4eH0f4wkEglJkytX31ev/o+mmjefz6e6ujr19fWpq6tLqVQqvcLndrvldDqtim2pqebM4/GotbVV1dXV8nq9Gh0dVUdHh969e6etW7damNp6031H/1mIHQ6HSktLFQgEch01b0w1Z263Wy0tLdqyZYu8Xq+GhobU1NSkBQsWqKamZmY7mvX1R/9ht2/fNkuXLjVOp9OUlpaahoYGMzY2ZnWsvBKLxYykf23hcNgYM3nZcyQSMaWlpWbOnDmmoqLCvHz50trQFptuzjo7O3/5eiQSsTS31aaat++Xh/9qi8ViVke3zFRz9vXrV1NTU2N8Pp9xOp3G6/Wa6upq8/TpU6tjW2667+g/ccnz1HP25csXs3HjRrNw4ULjcDiM3+834XDYDA8Pz3g/BcYYM7OaAwAAkHuc0wIAAGyB0gIAAGyB0gIAAGyB0gIAAGyB0gIAAGyB0gIAAGyB0gIAAGyB0gIAAGyB0gIgK65evaqCgoL0VlRUJK/Xq+3bt//xTdIqKyvTn6+qqko/PzQ0pIKCAp07dy5b8dNKSkrSGQ4ePJj1/QH4Pe49BCCrOjs7tWLFCo2Pj6u3t1etra2KxWJ69eqVXC7XtJ9ftWqVOjo6/ui92dDd3a1kMqm1a9dasn8AP1BaAGTVypUrtWbNGkmTKyepVEqRSER37979o5uPFhcXKxgMZjvmb33PDsB6HB4CkFPfS8DIyEhGx52YmFA4HNa8efPU1dUl6cchqp6eHu3du1cej0fFxcUKhUL6/Pmz3r9/r23btqmkpERer1fHjx/XxMRERnMByBxWWgDk1ODgoCRp+fLlGRtzbGxMtbW16u/v18OHD7V69eqfXq+vr1dtba1u3bql58+fq6mpSclkUolEQrW1tdq3b5+6u7t15swZ+Xw+HTt2LGPZAGQOpQVAVqVSKSWTyfQ5LadPn1ZFRYWqq6szMv7Q0JA2b94sSXry5ImWLFnyr/dUVVWlT9rdsGGDHj9+rJs3b+rChQs6evSoJGn9+vWKRqO6fv06pQXIUxweApBVwWBQDodD8+fP16ZNm+RyuXTv3j0VFc3+N1NfX5+CwaAWL16s3t7eXxYWST9deSRJ5eXlkpQuO39//s2bN7POBSA7KC0AsuratWt69uyZenp6tH//fvX392vHjh0ZGfv+/fsaGRlRfX29SkpKfvs+t9v902On0/nb58fHxzOSDUDmcXgIQFaVl5enT75dt26dUqmUrly5ojt37qiurm5WYzc2Nur169cKhUJKJpMKhUKZiAwgT7HSAiCnzp49K5fLpebmZn379m1WYxUWFury5cs6fPiwdu/erUuXLmUoJYB8RGkBkFMul0snT55Uf3+/bty4kZExz58/r+bmZh04cEDt7e0ZGRNA/qG0AMi5Q4cOye/369SpU0qlUhkZs6WlRe3t7Tpx4oQikUhGxgSQXwqMMcbqEADwK5WVlTLG6MGDByosLFRhYe5/Z6VSKRlj5HA41NDQoIsXL+Y8A4BJrLQAyGuPHj2Sw+HI2P+6zJTH45HD4bBk3wB+xkoLgLyVSCT08eNHSZN3W162bFnOM8TjcSWTSUnSokWL5Pf7c54BwCRKCwAAsAUODwEAAFugtAAAAFugtAAAAFugtAAAAFugtAAAAFugtAAAAFugtAAAAFugtAAAAFv4Cxjxinvf/D00AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(6,6))\n", "ax.plot(MR_DDMEX[1] / km, MR_DDMEX[0] / Msun, lw=2, label=\"DDMEX\")\n", "ax.plot(MR_DDBm[1] / km, MR_DDBm[0] / Msun, lw=2, label=\"DDBm\")\n", "ax.plot(MR_char23[1] / km, MR_char23[0] / Msun, lw=2, label=\"Model I (Char 23)\")\n", "ax.set_ylabel(r\"M [$M_{\\odot}$]\", fontsize=16)\n", "ax.set_xlabel(\"R [km]\", fontsize=12)\n", "ax.set_xlim(9.0, 15)\n", "ax.set_ylim(0, 3)\n", "ax.grid(True)\n", "plt.legend(loc=\"lower left\", fontsize=12)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## (c) DDH exciting feature on User defined functions\n", "\n", "Example: re-compute Model I ( char23 ) and with User defined feature " ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "##### Model I ( Char et al, arxiv:2307.12364)\n", "m_sig = (550.0)/oneoverfm_MeV\n", "m_w = (782.6)/oneoverfm_MeV\n", "m_rho = (769)/oneoverfm_MeV\n", "\n", "gsf, gwf, grf, dgsf, dgwf, dgrf = DDH.Function(type='Char23')\n", "theta = np.array([m_sig, m_w, m_rho, gsf, gwf, grf, dgsf, dgwf, dgrf, rho0])\n", "EoS_Char = DDH.compute_eos(eps_com, pres_com, theta)\n", "\n", "e_char = EoS_Char[1]/MeV\n", "p_char = EoS_Char[2]/MeV" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "##### User Defined #########\n", "as_, av, ar, bs, bv, br, cs, cv, cr, ds, dv, dr, rho0 = [8.225494 , 10.426752, 0.64584657,\n", " 2.7079569, 1.6468675, 5.2033131 ,\n", " 2.4776689, 6.8349408, 0.4262597 ,\n", " 3.8630221, 1.4458185, -0.1824181, 0.16194209]\n", "n0 = 0.16\n", "\n", "functions = [f\"{as_} + ({bs} + {ds}*(x/{n0})**(3))*exp(-{cs}*x/{n0})\",\n", " f\"{av} + ({bv} + {dv}*(x/{n0})**(3))*exp(-{cv}*x/{n0})\",\n", " f\"({ar} + ({br} + {dr}*(x/{n0})**(3))*exp(-{cr}*x/{n0}))*2\"]\n", "\n", "s,w,r, ds, dw, dr = DDH.Function(couplings=functions, type=\"UserDefined\")\n", "theta = np.array([m_sig, m_w, m_rho, gsf, gwf, grf, dgsf, dgwf, dgrf, rho0])\n", "EoS_user = DDH.compute_eos(eps_com, pres_com, theta)\n", "\n", "e_user = EoS_user[1]/MeV\n", "p_user = EoS_user[2]/MeV" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots(1, 1, figsize=(12, 8))\n", "\n", "# First panel: Energy density and Pressure vs Number density\n", "ax1.plot(e_user, p_user, label=\"User Defined (Char 23)\", lw=8, alpha=0.5)\n", "ax1.plot(e_char, p_char, label=\"Model I (Char 23)\", lw=2, alpha=1, c=\"red\", linestyle=\"--\")\n", "ax1.set_xlabel(r\"Energy Density (MeV.fm$^{-3}$)\", fontsize=15)\n", "ax1.set_ylabel(r\"Pressure (MeV.fm$^{-3}$)\", fontsize=15)\n", "ax1.set_xlim(180, 1000)\n", "ax1.legend(fontsize=16)\n", "ax1.grid(True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Illustrating the power of Numba accelerated EoS Generation\n", "\n", "We shall now run the same code but with the Numba accelerated version, comparing the times for EoS Generation.\n", "\n", "Keep in mind all previous definitions are still valid, all we need to change is a single line of code.\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import EOSgenerators.fastRMF_EoS as FastRMF\n", "import time\n", "\n", "Tolos_crust_out = np.loadtxt(\"Tolos_crust_out.txt\")\n", "eps_crust_T_out = Tolos_crust_out[:, 3] * g_cm_3\n", "pres_crust_T_out = Tolos_crust_out[:, 4] * dyn_cm_2\n", "eps_com, pres_com = crust.PolyInterpolate(eps_crust_T_out, pres_crust_T_out)\n", "\n", "m_sig = 495.0 / 197.33\n", "m_w = 3.96544\n", "m_rho = 3.86662\n", "\n", "g_sigma = math.sqrt(107.5751)\n", "g_omega = math.sqrt(182.3949)\n", "g_rho = math.sqrt(206.4260)\n", "\n", "kappa = 3.09114168 / 197.33\n", "lambda_0 = -0.00168015405\n", "zeta = 0.024\n", "Lambda_w = 0.045\n", "theta = np.array(\n", " [m_sig, m_w, m_rho, g_sigma, g_omega, g_rho, kappa, lambda_0, zeta, Lambda_w]\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (a) Comparing the time it takes to generate the EoS\n", "\n", "The reason why we test the time it takes to generate the EoS here is due to the fact that Numba is compiling the code, and as such the first run will take considerably longer to complete, but all other runs will be greatly faster.\n", "\n", "Warning: Do not rerun this cell, as the compilation time will be gone.\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "--------------------------------------------------------------------------------------\n", "| |\n", "| Time Comparion Table |\n", "| |\n", "| Time for first run with RMF-Normal = 700 ms |\n", "| Time for first run with RMF-Fast = 2525 ms |\n", "| |\n", "| Time for 20 runs with RMF-Normal = 14176 ms |\n", "| Time for 20 runs with RMF-Fast = 194 ms |\n", "| |\n", "| Time for all runs with RMF-Normal = 14875 ms |\n", "| Time for all runs with RMF-Fast = 2719 ms (Has Compilation) |\n", "| |\n", "| Time for 1 run with RMF-Normal = 709 ms |\n", "| Time for 1 run with RMF-Fast = 10 ms |\n", "| |\n", "| |\n", "| Total Speed Up = 73.13 x |\n", "--------------------------------------------------------------------------------------\n" ] } ], "source": [ "### Normal RMF ####\n", "\n", "first_run_time_normal = time.time()\n", "eps_fast, pres_fast = RMF.compute_EOS(eps_com, pres_com, theta)\n", "first_run_time_normal = time.time() - first_run_time_normal\n", "\n", "time_for_20_runs_normal = time.time()\n", "for _ in range(20):\n", " eps, pres = RMF.compute_EOS(eps_com, pres_com, theta)\n", "time_for_20_runs_normal = time.time() - time_for_20_runs_normal\n", "\n", "\n", "##### Fast RMF #####\n", "\n", "first_run_time = time.time()\n", "eps_fast, pres_fast = FastRMF.compute_EOS(eps_com, pres_com, theta)\n", "first_run_time = time.time() - first_run_time\n", "\n", "time_for_20_runs = time.time()\n", "for _ in range(20):\n", " eps_fast, pres_fast = FastRMF.compute_EOS(eps_com, pres_com, theta)\n", "time_for_20_runs = time.time() - time_for_20_runs\n", "\n", "\n", "print(f\"--------------------------------------------------------------------------------------\")\n", "print(f\"|\" + \" \"*84 + \"|\")\n", "print(f\"|\" + \" \"*32 + \"Time Comparion Table\" + \" \"*32 + \"|\")\n", "print(f\"|\" + \" \"*84 + \"|\")\n", "print(f\"|\" + \" \"*17 + f\"Time for first run with RMF-Normal = {first_run_time_normal*1000:6.0f} ms\" + \" \"*19 + \"|\")\n", "print(f\"|\" + \" \"*17 + f\"Time for first run with RMF-Fast = {first_run_time*1000 :6.0f} ms\" + \" \"*19 + \"|\")\n", "print(f\"|\" + \" \"*84 + \"|\")\n", "print(f\"|\" + \" \"*17 + f\"Time for 20 runs with RMF-Normal = {time_for_20_runs_normal*1000:6.0f} ms\" + \" \"*19 + \"|\")\n", "print(f\"|\" + \" \"*17 + f\"Time for 20 runs with RMF-Fast = {time_for_20_runs*1000 :6.0f} ms\" + \" \"*19 + \"|\")\n", "print(f\"|\" + \" \"*84 + \"|\")\n", "print(f\"|\" + \" \"*17 + f\"Time for all runs with RMF-Normal = {(first_run_time_normal + time_for_20_runs_normal)*1000:6.0f} ms\" + \" \"*19 + \"|\")\n", "print(f\"|\" + \" \"*17 + f\"Time for all runs with RMF-Fast = {(first_run_time + time_for_20_runs )*1000:6.0f} ms (Has Compilation) \" + \"|\")\n", "print(f\"|\" + \" \"*84 + \"|\")\n", "print(f\"|\" + \" \"*17 + f\"Time for 1 run with RMF-Normal = {time_for_20_runs_normal*1000/20:6.0f} ms \" + \" \"*17 + \"|\")\n", "print(f\"|\" + \" \"*17 + f\"Time for 1 run with RMF-Fast = {time_for_20_runs *1000/20:6.0f} ms\" + \" \"*19 + \"|\")\n", "print(f\"|\" + \" \"*84 + \"|\")\n", "print(f\"|\" + \" \"*84 + \"|\")\n", "print(f\"|\" + \" \"*30 + f\"Total Speed Up = {time_for_20_runs_normal/time_for_20_runs:.2f} x\" + \" \"*30 + \"|\" )\n", "print(f\"--------------------------------------------------------------------------------------\")" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "eps_total_fast = np.array([*eps_com, *eps_fast])\n", "pres_total_fast = np.array([*pres_com, *pres_fast])\n", "\n", "compare_fig1, ax = plt.subplots(1, 1, figsize=(9,6))\n", "\n", "ax.plot(eps_total_fast, pres_total_fast, lw=2, label=\"Fast Version\")\n", "ax.plot(eps_total, pres_total, lw=6, label=\"Normal Version\", alpha=0.3)\n", "ax.set_ylabel(r\"P $[fm^{-4}]$\", fontsize=16)\n", "ax.set_xlabel(r\"$\\epsilon$ $[fm^{-4}]$\", fontsize=16)\n", "ax.set_xlim(0, 6)\n", "ax.set_ylim(0, 2)\n", "ax.tick_params(top=1, right=1, which=\"both\", direction=\"in\", labelsize=14)\n", "ax.tick_params(top=1, right=1, which=\"both\", direction=\"in\", labelsize=14)\n", "plt.legend()\n", "compare_fig1.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "MR_fast = main.OutputMR(\"\", eps_total_fast, pres_total_fast).T\n", "\n", "compare_fig2, ax = plt.subplots(1, 1, figsize=(9, 6))\n", "\n", "ax.plot(MR_fast[0] / km, MR_fast[1] / Msun, lw=2, label=\"Fast Version\")\n", "ax.plot(MR[1] / km, MR[0] / Msun, lw=6, label=\"Normal Version\", alpha=0.3)\n", "ax.set_ylabel(r\"M [$M_{\\odot}$]\", fontsize=16)\n", "ax.set_xlabel(\"R [km]\", fontsize=16)\n", "ax.set_xlim(8.0, 20.0)\n", "ax.set_ylim(0, 3)\n", "ax.tick_params(top=1, right=1, which=\"both\", direction=\"in\", labelsize=14)\n", "ax.tick_params(top=1, right=1, which=\"both\", direction=\"in\", labelsize=14)\n", "plt.legend()\n", "compare_fig2.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Polytrope EOS \n", "\n", "First import all the package that will be used." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import math\n", "import TOVsolver.main as main\n", "import matplotlib.pyplot as plt\n", "from scipy.integrate import ode\n", "import EOSgenerators.Polytrope_EOS as Polytrope\n", "import EOSgenerators.Strangeon_EOS as Strangeon\n", "import EOSgenerators.crust_EOS as crust\n", "from TOVsolver.unit import km, Msun, MeV,fm,g_cm_3,dyn_cm_2, G,c " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The polytropic equation of state (Polytrope) is the most commonly used EOS in astrophysics, its advantage is assumed to be capable to simulate all EOS shape with given parameters. Here, we provide one of the computation for polytrope." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (a) Connecting outer crust with polytropic part" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For polytrope, we first connecting it with crust as we did in RMF" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "Tolos_crust_out = np.loadtxt(\"Test_Case/Tolos_crust_out.txt\")\n", "eps_crust_T_out = Tolos_crust_out[:, 3] * g_cm_3\n", "pres_crust_T_out = Tolos_crust_out[:, 4] * dyn_cm_2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We define a set of parameters, first three in theta are the parameters control the slope of each polytrope, and the last two are transition point from one segment to another. Details see the documentation about polytrope" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "gammas = np.array([1.03, 2.62, 1.38])\n", "rho_ts = np.array([8.087e13, 1.8078e15]) * g_cm_3\n", "theta = np.append(gammas, rho_ts)\n", "\n", "eps_set = np.logspace(11.7, 15.6, 100, base=10) * g_cm_3\n", "pres_out = Polytrope.compute_EOS(eps_set, theta, eps_crust_T_out[-1], pres_crust_T_out[-1])\n", "\n", "eps_total = np.hstack((eps_crust_T_out, eps_set))\n", "pres_total = np.hstack((pres_crust_T_out, pres_out))" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(dpi=200)\n", "plt.plot(eps_total / g_cm_3, pres_total / dyn_cm_2)\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "plt.xlabel(r\"$\\epsilon\\quad [g/cm^3]$\")\n", "plt.ylabel(r\"$P\\quad [dyn/cm^2]$\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (b) Solve TOV with this EOS\n", "\n", "Here below we use the strangeon matter EOS to compute the mass radius curve.\n", "\n", "The following code calculates the mass and radius of the strange stars for the given EOS of the polytrope using our main.OutputMR" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "MR = main.OutputMR('',eps_total, pres_total)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 1, figsize=(9, 6))\n", "ax.plot(MR[:,1]/km , MR[:,0]/Msun, lw=2)\n", "# ax.scatter(R /km, M / Msun, c='r')\n", "ax.set_ylabel(r\"M [$M_{\\odot}$]\", fontsize=16)\n", "ax.set_xlabel(\"R [km]\", fontsize=16)\n", "ax.set_xlim(8.0, 20.0)\n", "ax.set_ylim(0, 3)\n", "ax.tick_params(top=1, right=1, which=\"both\", direction=\"in\", labelsize=14)\n", "ax.tick_params(top=1, right=1, which=\"both\", direction=\"in\", labelsize=14)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Strangeon matter EOS \n", "\n", "First import all the package that will be used." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import math\n", "import TOVsolver.main as main\n", "import matplotlib.pyplot as plt\n", "from scipy.integrate import ode\n", "from EOSgenerators import Strangeon_EOS\n", "\n", "from TOVsolver.unit import km, Msun, MeV,fm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The strangeon matter EOS describes the strongly interacting matter in the solid state, and the compact star can be a self-bound quark star composed of strangeon matter. Therefore, in the following we present the bare quark star EOS without a crust.\n", "\n", "Note that the strangeon matter parameters we input are in the natural unit system. The quentity returned by the Strangeon_compute_EOS function is in the Geometric Unit System. Thus, here, the parameter epsilon and ns are in the units of $MeV/fm^{-3}$. So follow the unite conversion rule, if we are using this unit, we just time this unit to do compute" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (a) Defining the EOS parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Define the strangeon matter EOS that we will use to calculate the energy densities and pressures of the system.\n", "The following is an example of how to define the theta and Nq.\n", "For example, theta=[50, 0.24] means the example values for epsilon and ns:\n", "epsilon in units of MeV, ns in units of $fm^-3$.\n", "Nq is an integer, e.g. Nq=9, 12, 15, 18, 21, 24, 27\n", "\n", "For the definition of parameter n, the minimum value is 3*ns/Nq, the maximum value is about 0.16*8*3/Nq.\n", "Then we can generate,for example, 1000 points for the input of the srangeon matter EOS. Special note: If you are using this EOS, need a very fine grid for the EOS. From our test, 1000 points for this EOS is the minimum requirement\n", "\n", "Once we define the EOS parameters already, we can use the Strangeon_compute_EOS function to calcute the energy_density and pressure." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "n values: [0.04 0.04008671 0.04017342 ... 0.21315991 0.21324662 0.21333333]\n", "Energy densities: [ 204.61935484 205.0631334 205.50734538 ... 46616.1606005\n", " 46711.98281964 46807.96367981]\n", "Pressures: [0.00000000e+00 1.98864796e-01 4.00749542e-01 ... 1.88749504e+05\n", " 1.89139331e+05 1.89529799e+05]\n" ] } ], "source": [ "Nq=18\n", "epsilon=50\n", "ns=0.24\n", "theta = np.array([Nq, epsilon, ns])\n", "n_min = 3 * theta[2] / theta[0] \n", "n_max = 0.16 * 8 * 3 / theta[0] \n", "n_values = np.linspace(n_min, n_max, 2000) \n", "\n", "energy_densities, pressures = Strangeon_EOS.compute_EOS(n_values, theta)\n", "print(\"n values:\", n_values)\n", "print(\"Energy densities:\", energy_densities)\n", "print(\"Pressures:\", pressures) " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (b) Solve TOV with this EOS" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here below we use the strangeon matter EOS to compute the mass radius curve.\n", "\n", "The following code calculates the mass and radius of the strange stars for the given EOS of the strange matter EOS. Since our energy_density and pressure are all in same unit $MeV/fm^{-3}$ so all we need is to time this unit\n", "\n", "Input a given central pressure and central energy density, you will obtain the radius where the pressure is zero and the mass at that radius." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Solve the TOV equations using each central pressure and energy density" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "\n", "MR= main.OutputMR('',energy_densities* MeV/fm**3 , pressures* MeV/fm**3)\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(dpi=200)\n", "plt.plot(energy_densities / g_cm_3, pressures / dyn_cm_2)\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "plt.xlabel(r\"$\\epsilon\\quad [g/cm^3]$\")\n", "plt.ylabel(r\"$P\\quad [dyn/cm^2]$\")\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 11, "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=(9, 6))\n", "ax.plot(MR[:,1]/km , MR[:,0]/Msun, lw=2)\n", "\n", "ax.set_ylabel(r\"M [$M_{\\odot}$]\", fontsize=16)\n", "ax.set_xlabel(\"R [km]\", fontsize=16)\n", "# ax.set_xlim(8.0, 20.0)\n", "# ax.set_ylim(0, 3)\n", "ax.tick_params(top=1, right=1, which=\"both\", direction=\"in\", labelsize=14)\n", "ax.tick_params(top=1, right=1, which=\"both\", direction=\"in\", labelsize=14)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Speed of sound EOS \n", "\n", "First import all the package that will be used." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import TOVsolver.main as main\n", "import matplotlib.pyplot as plt\n", "from EOSgenerators import SpeedofSound_EOS\n", "import EOSgenerators.crust_EOS as crust\n", "from TOVsolver.unit import g_cm_3, dyn_cm_2, km, Msun" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Speed of sound EOS describes the core EOS of a compact star, \n", "so it should be connected with the crust EOS to form a full EOS.\n", "See https://arxiv.org/abs/1812.08188 for details." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "Tolos_crust_out = np.loadtxt(\"Test_Case/Tolos_crust_out.txt\")\n", "eps_crust_T_out = Tolos_crust_out[:, 3] * g_cm_3\n", "pres_crust_T_out = Tolos_crust_out[:, 4] * dyn_cm_2\n", "eps_com, pres_com = crust.PolyInterpolate(eps_crust_T_out, pres_crust_T_out)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (a) Defining the EOS parameters" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To construct the Speed of sound EOS, we need to specify the outer crust EOS and \n", "the interface EOS, and then connect them with the core EOS." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [], "source": [ "x_last = eps_com[-1]\n", "y_last = pres_com[-1]\n", "dydx_last = (pres_com[-1] - pres_com[-2]) / (eps_com[-1] - eps_com[-2])\n", "CS_EOS = SpeedofSound_EOS.compute_EOS(x_last, y_last, dydx_last)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In order to generate the parameters of the Speed of sound EOS, we need a list\n", "of 5 uniform random numbers between 0 and 1.\n", "\n", "After generate the parameters, we use function `check_a` to check if the parameters\n", "are valid." ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "True\n" ] } ], "source": [ "cs_a = CS_EOS.gen_a((0.2, 0.2, 0.3, 0.4, 0.5))\n", "print(CS_EOS.check_a(cs_a))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (b) Solve TOV with this EOS" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here below we use the speed of sound EOS to compute the mass radius curve.\n", "\n", "First we calculate the core EOS." ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [], "source": [ "core_e_min = x_last\n", "core_e_max = 2e16 * g_cm_3\n", "n_core_e = 1000\n", "core_e = np.geomspace(core_e_min, core_e_max, n_core_e)\n", "core_p = CS_EOS.cal_core_p(core_e, cs_a)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we concat the core EOS with the crust EOS." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "full_e = np.concatenate((eps_com, core_e[1:]))\n", "full_p = np.concatenate((pres_com, core_p[1:]))\n", "plt.figure(dpi=200)\n", "plt.plot(full_e / g_cm_3, full_p / dyn_cm_2)\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "plt.xlabel(r\"$\\epsilon\\quad [g/cm^3]$\")\n", "plt.ylabel(r\"$P\\quad [dyn/cm^2]$\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we compute the mass radius curve." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "MR = main.OutputMR(\"\", full_e, full_p)\n", "plt.figure(dpi=200)\n", "plt.plot(MR[:, 1] / km, MR[:, 0] / Msun)\n", "plt.xlim(6, 17)\n", "plt.ylim(0, 2)\n", "plt.xlabel(\"Radius [km]\")\n", "plt.ylabel(\"Mass [Msun]\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## MIT bag model EOS" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The MIT bag model, which has commonly been applied to strange quark stars, relates pressure to energy density with the simple equation of state $p=\\frac{\\epsilon}{3}-\\frac{4B}{3}$. There is only one parameter, the \"bag constant\" $B$. This represents the vacuum energy density, which creates a \"bag\" in which quarks are confined. See [Chodos et al. (1974)](https://doi.org/10.1103/PhysRevD.9.3471)." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from EOSgenerators import MITbag_EOS\n", "from TOVsolver.unit import MeV, fm, g_cm_3, dyn_cm_2, km, Msun" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (a) Defining the parameter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A \"typical\" value of 57 $MeVfm^{-3}$ for the bag constant is taken from [Alcock (1986)](http://dx.doi.org/10.1086/164679)." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "energy density range: 1.1554421785237932 to 2.888605446309483\n", "pressure range: 0.0 to 0.5777210892618965\n" ] } ], "source": [ "B = 57\n", "\n", "epsilon,p = MITbag_EOS.MITbag_compute_EOS(B)\n", "\n", "print('energy density range:',epsilon[0],'to',epsilon[-1])\n", "print('pressure range:',p[0],'to',p[-1])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (b) Computing the mass-radius relation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can compute a mass-radius relation for this EOS by solving the TOV equation." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import TOVsolver.main as main\n", "import TOVsolver.EoS_import as EoS_import\n", "from itertools import repeat" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "MR = main.OutputMR('',epsilon,p).T" ] }, { "cell_type": "code", "execution_count": 16, "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=(9,6))\n", "ax.plot(MR[1]/km, MR[0]/Msun,lw=2,label=f'B = {B:.2f} MeV $fm^{-3}$')\n", "ax.set_ylabel(r'M [$M_{\\odot}$]', fontsize=16)\n", "ax.set_xlabel('R [km]', fontsize=16)\n", "ax.legend()\n", "ax.tick_params(top=1,right=1, which='both', direction='in', labelsize=14)\n", "ax.tick_params(top=1,right=1, which='both', direction='in', labelsize=14)\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.2" } }, "nbformat": 4, "nbformat_minor": 4 }