{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Surface flux transport (SFT) simulation Notebook\n", "\n", " Soumyaranjan Dash | National Solar Observatory\n", "\n", "----\n", "\n", "**About this notebook:**\n", "\n", "- This notebook shows example SFT simulation for solar surface. \n", "- Flux transport is driven by prescribed solar meridional (pole-ward flow) flow and differential rotation.\n", "- An initial global dipolar field is evolved here without any sun/star spots.\n", " \n", "----" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from tqdm import tqdm\n", "from matplotlib import rc\n", "import matplotlib.style\n", "try: \n", " plt.rcParams[\"font.family\"] = 'DejaVu Serif'\n", "except: \n", " print(' Arial font not available - using default')\n", "plt.rcParams.update({\n", " \"font.size\": 10, # Default font size for all text\n", " \"axes.labelsize\": 10, # Font size for x and y labels\n", " \"xtick.labelsize\": 10, # Font size for x-axis ticks\n", " \"ytick.labelsize\": 10, # Font size for y-axis ticks\n", " \"legend.fontsize\": 10 # Font size for legends\n", "})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Import sft2d package and check teh latest version.\n", "- For installing the package you can run\n", "```\n", " pip install git+https://github.com/sr-dash/SFT2D.git sft2d\n", "```" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.0.2.post3+dirty\n" ] } ], "source": [ "import sft2d\n", "print(sft2d.__version__)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "from sft2d import create_grid, initialize_field, meridional_flow, differential_rotation, calculate_time_step, calculate_diffusion, calculate_advection,calculate_polar_flux\n", "from sft2d import calculate_usflx, calculate_dm, calculate_polar_field, plot_bfly, plot_mag\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initial model setup\n", "- Setup the grid resolution\n", "- Model the pre-defined meridional flow and differential rotation of the grid.\n", "- Initialize the global dipole on the gird.\n", "- Set the magnetic diffusivity.\n", "- Compute the global timestep based on grid resolution, flows and diffusivity." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "grid_sft = create_grid(180,360)\n", "mf_ = meridional_flow(grid_sft.copy())\n", "dr_ = differential_rotation(grid_sft.copy(),rotation='solar',frame='carrington')\n", "field = initialize_field(grid_sft.copy(), 'dipole')\n", "diffusivity = 2.5 * 10**8 # cm^2/s\n", "ts, ndt = calculate_time_step(grid_sft.copy(), diffusivity)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Initialise arrays for plotting.\n", "- Import arrays from sft grid for plotting. " ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "colatitude = grid_sft['colatitude']\n", "longitude = grid_sft['longitude']\n", "delta_theta = grid_sft['dtheta']\n", "delta_phi = grid_sft['dphi']\n", "solar_radius = 6.955 * 10**8" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Visualizing the initial dipole " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=[7,3])\n", "plt.pcolormesh(np.degrees(longitude),np.degrees(np.pi/2-colatitude),field,cmap='bwr',vmin=-1,vmax=1)\n", "plt.xticks(np.arange(0,361,90))\n", "plt.yticks(np.arange(-90,91,45))\n", "plt.colorbar(label='Br [G]',ticks=np.arange(-1,1.1,0.5))\n", "plt.title('Initial condition')\n", "plt.xlabel('Longitude [deg]')\n", "plt.ylabel('Co-latitude [deg]')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Visualizing the flow profiles." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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atMCLFy/w7ds3mfXXr1/HiBEjfiqLp6cnkpOTs40r/vDhQ7ne36JFC7x69UpmxA5APHOqhYUF6tevn688kqs3kitbEtKjWyhTs2bNoKenl+2q3r1795CamopffvlFZn2HDh3w7ds3/Pbbb2jbti0A8TjttWvXxuHDh3HmzJls7yGE6IZ58+YhKioKCxYsyHZO+xmS0ZJyuqi0adMmrFu3Tq791K9fH2ZmZjnuZ968eTh06FCB8hkYGPCmW2/fvs3WlFVaamqqSs/3LVq0AIBs5/gbN24AgMz52tDQkB8HYwzHjh1DSkqK3JklTZEk+3jy5Emuw9iamJigYcOGuHfvXrY7SDdu3ICjo6PM3QciDKpAEMEFBAQgODgYHh4eP9x29uzZMDIywu+//85PLB8/fsTIkSNRtWrVn8oxduxYWFtbY/LkyfzH+/Hjx+Wej2L27NmwsLDA+PHjkZGRAUDcr+PUqVNYtGgRzMzM8pWncuXKqFChAjZv3syHTX306BH27duXr/0UlKOjI8aOHYutW7fi9u3bAIDExERMmDABFStWxO+//y6zvaenJ2xsbHDs2DGZOw0dOnTArVu3+BCuhBDdERERgZEjR2LhwoXw9/eXmQNCEUQiEVauXIng4GBs3bqVr79x4wZmzpyJ2rVry7Ufc3Nz+Pv7Y+/evbxvAACcOHECa9askXs/3ytXrhzev38PQDyc6+bNm3Pdtm3btjh37hyfnTo2NhZLly4t0OfKw9vbG507d8bSpUt5f4XPnz9j1qxZaNCggczcDOXKlUNUVBRSU1Px/PlzdOvWDfr6+mjbti0ePXqEkydPAhDPSj5v3rxsn1WiRAkYGxvz72LOnDk4ceJErtmWLFmC+Ph4+Pn58UrHhg0b8PjxY6xatUph3wH5CcL13ya6JCkpibm4uLASJUqwEiVKMBcXF5aUlJTjtsuWLWMuLi4MALOysmIuLi4yoyc9f/6c+fr6stKlSzNXV1fm4eHBNm/ezF8/ffo0f7/ks+7du8dfP3LkiMzrTZo04a+FhoYyLy8vZm1tzdzc3NiIESPYlClTGADm4uLC9u3bx9asWcOqVKnCADA7OzuZoeLCwsJY586dmZ2dHXNycmJubm5s//79/PWoqCjm4uLCTE1NmampKf8eJk+ezOzs7BgAVqVKFT76xdOnT9kvv/zCSpQowTw9PVm3bt1Ynz59eJ5z586xrl27yrx35cqVOX6vL168yPbZEyZMYE+fPs22Xnr0k9WrV7OqVauyihUrMjs7OzZgwACZEUGkDRw4kJUpU0ZmnWREjoCAgBzfQwjRbNLnd8l5yMXFhVWpUoVVrVqVDR8+nD18+FDmPRkZGczFxYVZWVkxQ0ND5uLiwq5du8Z69Oghcz6TnCMnTJjAnJycGADm5OSUrVw4e/Ys8/T0ZGXLlmVubm6sSZMm7MqVK/z1efPmybzf3d09x2PZs2cPq1mzJitXrhyrWbMma9euHQsNDeWvjxgxQibfvn372LVr12TKFF9fX7798ePHmaOjI6tRowarV68eCwsLy7UMiYuLY4MHD2alSpVibm5urEWLFmz27Nk8s7+/P1u8eHGu5c/3OnTowP9NXFxc2NChQ7Ntk5aWxmbPns3Kly/PKlWqxBwcHNjYsWP5ULISnz59Yj4+Pqx8+fKsSpUq7K+//mKMMZaamsrLr+rVq7PGjRuzpUuX8nyjR4/m+9i4cSOzt7dn1atXZ02bNmVfvnxh06ZNk/l3mTx5Mt8+JCSEtWjRgpUtW5Y5ODiwBg0asPPnz/PXQ0NDmYuLCzM0NGRWVlbM29ubMcZY7969ZY6bRv5TDhFj/1+1I4QQQgghhJAfoCZMhBBCCCGEELlRBYIQQgghhBAiN6pAEEIIIYQQQuRGFQhCCCGEEEKI3KgCQQghhBBCCJEbVSAIIYQQQgghcjMQOoC6ycrKwocPH2Bubg6RSCR0HEIIkQtjDAkJCShVqpRCZ/ol2VE5QQjRRIosJ6gC8Z0PHz7Azs5O6BiEEFIg4eHhKFOmjNAxtBqVE4QQTaaIcoIqEN8xNzcHIP5yLSwsBE5DCCHyiY+Ph52dHT+HEeWhcoIQookUWU5QBeI7ktvRFhYWVDAQQjQONalRPionCCGaTBHlBDWUJYQQQgghhMiNKhCEEEIIIYQQuWlcE6a0tDTMnDkTf/75J168eAEHBwf+Wr9+/fD06VMULlyYr6tatSrWrVsnQFJCCCGEEEK0j0ZVIN68eYPu3bujYsWKyMzMzHGbffv2yVQqCCGEEEIIIYqjUU2Yvn37hp07d6J///5CRyGEEEIIIUQnadQdiGrVqgEA3r9/L3ASQoi02NhYxMTEID09HUWLFoW1tTX09fWFjkUIIRojKSkJUVFRSEpKgrm5OWxsbFCoUCGhYxGSI42qQMjD398fz549Q0ZGBlxcXDBz5kyUKFEi1+1TU1ORmprKl+Pj41URkxCNFhUVhf379+P06dO4ceMGoqKiZF4vXLgwXF1d0bhxY/j6+qJmzZo0vCghhEhJTU3FqVOncOLECVy7dg0vX74EY4y/bmhoiCpVqsDb2xsdOnSAl5cXzTJP1IZW/U+sWLEiGjVqhIsXL+LSpUtITU1F3bp18e3bt1zf4+/vD0tLS/6g2UUJyV1YWBj69OmD0qVLY9SoUQgMDMxWeQCAlJQU3LhxAwsWLIC7uzs8PDywe/fuXPsuEUKIroiLi8OsWbNgZ2cHX19fbN++HS9evJCpPABAeno6QkNDsWrVKjRu3BhVqlTBhg0bkJ6eLlByQv5HxL7/H6sBgoKC4OPjg9evX+fZYTo+Ph5WVlbYsGEDBg8enOM2Od2BsLOzQ1xcHE0QRMj/S0xMxB9//IHVq1dnqwQUK1YM1atXR8mSJWFgYIDo6Gg8ffoUL1++zLafGjVqYMWKFfDx8VFVdJ0RHx8PS0tLOnepAH3XpCAYYwgICMC0adMQHR0t85qxsTGqVasGe3t7mJiYID4+Hi9evMCTJ0+ynXMrVqyINWvWoFmzZqqMT7SAIs9dWteESZqFhQVsbGxy/CEjYWRkBCMjIxWmIkSz3Lx5E927d8fr16/5uqJFi2LAgAHo0aMHXFxccrytHhkZiePHj2PTpk24e/cuACA0NBSNGzfG4MGDsXTpUpibm6vsOAghRCgRERHo168fzp8/z9cZGBigc+fO6NevH7y9vXP8LRIXF4e///4bAQEBuHTpEgDg+fPnaN68OYYOHYply5bBxMREZcdBiIRWNWEaM2aMzHJqaiqio6NRtmxZgRIRotk2btyIhg0b8spD4cKFMXv2bLx58wZLlixBzZo1c22Ta2tri6FDhyIkJAQXLlxArVq1+GsBAQHw8PDAw4cPVXIchBAilKtXr8Ld3V2m8tC9e3eEhYVh7969aNGiRa4XMi0tLdG9e3dcvHgRN2/eRIMGDfhrGzduRIMGDfD27VulHwMh39OqCsSGDRsQEhLCl+fNmwcrKyt06dJFwFSEaB7GGKZOnYphw4bx9raenp54+PAhZs2ala87ByKRCI0bN8bNmzexdu1amJmZAQCePXuGunXr4sSJE0o5BkIIEdqBAwfQuHFjfPr0CQBQunRpnD59Gnv27Mn3nFW1a9fGlStXsG7dOn7X4d69e6hduzbu3bun6OiE5EmjKhBpaWnw9vbG77//DgDo1q2bTOXgzz//xNixY+Hj44M6derg3r17uHTpEmxsbARKTIjmYYxh+PDhWLhwIV/3+++/49KlSyhfvnyB96unp4cRI0bg3r17cHV1BSAetrBDhw5Yu3btz8YmhBC1EhAQgG7duvGLMI0bN8b9+/fRokWLAu9TJBJh+PDhuHXrFj8ff/78GV5eXggODlZIbkLkoZGdqJWJOscRXcYYw5gxY7B69WoA4sJqzZo1GDFihEI/JyUlBf3798e+ffv4uoULF2Ly5MkK/RxdQucu1aHvmvzI9u3b0a9fP748cOBAbNiwAQYGiut6GhsbizZt2uD69esAADMzM5w/fx516tRR2GcQ7aLIc5dG3YEghCjX/PnzeeVBT08Pu3btUnjlARD3pdi9ezemTJnC102ZMgXLli1T+GcRQogqHTt2DAMGDODL48ePR0BAgEIrDwBgZWWFc+fO8Tsa3759wy+//IL//vtPoZ9DSE6oAkEIAQDs2rULM2bM4MtbtmxBjx49lPZ5enp68Pf3h7+/P183fvx47NixQ2mfSQghynTr1i306NEDWVlZAIDffvsNS5YsUdpEmiYmJjh69CgfGvvr169o3bo173NBiLJQBYIQgpCQEAwaNIgvL168GH379lXJZ0+ZMgV+fn58ecCAATh58qRKPpsQQhTlw4cPaNeuHZKTkwEAPXv2xPLly5VWeZAwNjbGiRMnULNmTQDAmzdv0LFjR6SlpSn1c4luowoEITouKioKvr6+fELFoUOHYsKECSrNMGPGDIwaNQoAkJmZia5du/J2vYQQou7S09PRtWtXfuW/YcOG+Ouvv3Id5lrRzMzMcPLkSZQuXRoA8O+//2L8+PEq+Wyim6gCQYgOY4xh4MCBePfuHQCgfv36WLVqldKvmH1PJBJh5cqV6N69OwBxJ+tOnTohIiJCpTkIIaQgpk2bhmvXrgEA7OzscPjwYZVPUlu6dGkcO3YMhQoVAgCsWbNGZqAKQhSJKhCE6LBt27bxeRhsbGxw8OBBXviomp6eHrZt24bGjRsDAD59+iRzZ4QQQtTR5cuXsXTpUgBAoUKFcOjQIcGGj69Vq5bMsNjDhg2jieaIUlAFghAd9ebNG5nZ2wMCAlCqVCkBE4kL3/3798Pe3h4AcPPmTYwePVrQTIQQkpuEhAT069cPkhHxFyxYgNq1awuaadCgQXwAjLi4OPTq1Yt36iZEUagCQYgOysrKQr9+/ZCQkAAA6N+/P9q3by9wKrFixYrhyJEjKFy4MABxxWbTpk0CpyKEkOzGjRuHN2/eAAAaNWrEJ7oV2rp16/hM11evXsX69euFDUS0DlUgCNFBK1euxOXLlwEA9vb2WLFihbCBvuPm5oaAgAC+PGbMGDx+/FjARIQQIuvUqVPYvHkzAHEn5m3btkFfX1/gVGKWlpbYtm0bX546dSrev38vXCCidagCQYiOef/+PZ/vQSQSYfv27Wo5m26vXr0wcuRIAOJO1T169EBKSorAqQghRDxp25AhQ/jy8uXLUa5cOQETZefl5cWH505ISMCoUaN4UytCfhZVIAjRMRMnTkRiYiIAYPjw4fDy8hI4Ue6WLFmCatWqAQBCQ0MxdepUgRMRQggwb948fPjwAQDwyy+/YODAgQInytnixYtRokQJAMDx48dx5MgRgRMRbUEVCEJ0SFBQEB/Wr1ixYpg7d67AifJmbGyMPXv28OEQV6xYgdOnTwucihCiy54/f45ly5YBEA/8sGbNGpUPfS0vKysrrFq1ii+PGjUKcXFxAiYi2oIqEIToiPT0dJkRjfz9/VG0aFEBE8mnevXqWLx4MV/u378/YmJiBExECNFVjDGMGTMG6enpAMR3dJ2cnAROlbcuXbqgTZs2AIDIyEgsWLBA4EREG1AFghAdsW7dOjx69AgA4OHhgQEDBgicSH6jR49Gy5YtAYgLwLFjxwqciBCii06ePMnvgtrZ2WlEs0qRSITVq1fzO7krV66kuSHIT6MKBCE6IDo6GrNmzeLLa9asgZ6e5vz5i0QiBAQEwNLSEgCwY8cO/P333wKnIoToktTUVJmLF3/++SdMTU0FTCQ/BwcHPu9Pamoqpk+fLnAiouk05xcEIaTAFi9ezNu99u/fX/CJjgqidOnSvN0xAAwdOpTa8pICO3r0KDw8PNCwYUN4eXnRMMHkhzZt2oRXr14BAHx8fNClSxeBE+XP1KlTYW1tDQDYvXs3QkJCBE5ENBlVIAjRch8+fOCd6IyMjDBnzhyBExVc//790axZMwDi4WgnTZokcCKiiW7duoW+fftiz549CA4OxsCBA9GiRQs+sSIh30tMTMT8+fP58p9//qm2HadzU6RIEcycOZMvT5w4kYZ1JQVGFQhCtNzcuXP5/AkjR45EmTJlBE5UcJKmTGZmZgDEVwQlE+IRIq+FCxeidevWqFChAgDxnCMZGRkyE28RIm316tX49OkTAKBz585wc3MTOFHBDBs2DOXLlwcgHpUvMDBQ4EREU1EFghAt9vLlS5mZUqdMmSJwop9nb2+PhQsX8uXhw4cjLS1NwERE01y4cAG1atXiy3p6enB3d8f58+cFTEXU1devX/lIcHp6ehp9F7dQoUJYtGgRX541axbdhSAFQhUIQrTYrFmzkJGRAQAYP348bGxsBE6kGMOGDYOHhwcA4MmTJzJ9IwjJS3R0NOLj4/nkWhK2trZ4/fp1ju9JTU1FfHy8zIPojqVLlyI2NhYA0Lt3b1SpUkXgRD+nY8eO/A7KvXv3cOrUKYETEU1EFQhCtNTjx4+xZ88eAIC1tTXGjRsncCLF0dfXx4YNG/hIUnPmzMn1xx8h0pKSkgCAD2kpYWRkxF/7nr+/PywtLfnDzs5O6TmJevjy5QtWrFgBADA0NJQZzU5TiUQimb4Qc+bMobsQJN+oAkGIllq4cCEvFKZMmQILCwuBEymWm5sbRo0aBQBITk7G6NGjqRAkP2RiYgJAfFdBWmpqKn/te1OnTkVcXBx/hIeHKz0nUQ8rV67Et2/fAABDhgxBuXLlBE6kGO3atYOLiwsA4Pbt2zhz5ozAiYimoQoEIVro9evX2Lt3LwDx3Ydhw4YJnEg55s6di5IlSwIATp06hRMnTgiciKg7a2trWFpa8g6xEpGRkXB0dMzxPUZGRrCwsJB5EO0XHx+PtWvXAhDffdCGPmQSIpEIM2bM4Mt+fn50AYbki8ZVINLS0jBlyhQYGBjgzZs32V7fuHEj3N3d4enpidatWyMiIkL1IQkR2JIlS5CZmQkA+O233/ioRdrGwsKCNy8AgAkTJlCHavJDjRs3xp07d/gyYwx3795F06ZNBUxF1M2mTZvw9etXAOK+D5o8gl1OOnbsiGrVqgEAbty4gQsXLgiciGgSjapAvHnzBl5eXvj48SP/cSTtyJEj8PPzw5kzZ3Dt2jXUqVMHbdq0QVZWlgBpCRFGZGQktmzZAkA88pKkmY+26tKlC7y8vAAAL1684FcMCcnNlClTcOrUKbx48QKAeFItfX199O3bV+BkRF2kpqbywRlEIhEmTpwocCLF09PTk7kLMW/ePAHTEE2jURWIb9++YefOnejfv3+Or8+bNw99+/ZFsWLFAABjxozBo0ePaIQBolOWL1/O23cPGzYMRYsWFTiRcolEIixbtoxP6jRnzhxER0cLnIqos9q1a2Pbtm3o1q0bGjZsiICAAJw5cwbm5uZCRyNqYufOnfj48SMAoEOHDqhcubLAiZTD19cXlSpVAgBcvnwZd+/eFTgR0RQaVYGoVq0anwDlezExMbh3757M2N6WlpaoWLEije1NdEZsbCzWr18PQDzetzaNvJQXNzc39OnTB4B4zHY/Pz+BExF117FjR4SEhCA4OBiXL1+Gs7Oz0JGImsjMzOTzPgDA5MmTBUyjXPr6+hg7dixfXr58uYBpiCbRqApEXiRDOOZnbG+Axvcm2mXDhg1ISEgAAPTv3593MNYFCxYs4KPorFu3Dk+fPhU4ESFEEx09ehRhYWEAAB8fH9SpU0fgRMrVu3dvWFtbAwD27dtHfUeJXLSmAlGQsb0BGt+baI/09HTe/l9b2+zmpVSpUvxKYWZmJiZMmCBwIkKIJpIemEGb7z5ImJiYYPjw4QCAjIwMrF69WuBERBNoTQWiIGN7AzS+N9Eehw8f5leO2rVrBycnJ4ETqd748eNRunRpAOJhXc+dOydwIkKIJrl37x6uXbsGAHB2dkbz5s0FTqQaI0eORKFChQCIR7OUzH1BSG60pgIhGb87P2N7AzS+N9EeK1eu5M9///134YIIyNTUFP7+/nx5/PjxOY7YRgghOZG++j5q1Cg+OIO2s7W1RY8ePQCI+5Ft27ZN2EBE7WlNBcLKygo1a9aUGds7Pj4ez58/p7G9ida7efMmbty4AQCoUaMGH9ZUF/Xs2ZMPpvDw4UM+pC0hhOQlKioKe/bsASAehKVXr14CJ1It6c7UK1asoCHwSZ60pgIBAH/88Qe2b9/Oh3BctWoVqlWrhlatWgmcjBDl+v7ug65cNcuJnp4eH78dEJ8XaHAEQsiPbN68mTeDHjBggNZOwJmbGjVqoEmTJgCAly9fUhNQkieNqkCkpaXB29ubN8/o1q0bunTpwl/v1KkTZsyYgWbNmqF+/fr4999/cfLkSejpadRhEpIvEREROHjwIADAxsYG3bt3FziR8Bo2bIjOnTsDAD5//izTrIkQQr6XkZGBdevWARAPQjFy5EiBEwlD+rglQ4ITkhMRY4wJHUKdxMfHw9LSEnFxcdQfgmiE6dOnY8GCBQCAGTNmYM6cOQInUg+vXr1ClSpVkJaWBiMjIzx9+hQODg5Cx1IaOnepDn3X2ufIkSPw9fUFALRu3RqBgYECJxJGRkYG7O3t8eHDB+jp6eHt27coU6aM0LGIgijy3EWX5gnRYGlpadi8eTMAwMDAgA/FR8QDK4wZMwaAeDS2KVOmCJyIEKKuJENgA8Do0aMFTCIsAwMDDB48GACQlZWFgIAAgRMRdUUVCEI02LFjx/D582cA4iZ8ujRxnDymT5+OYsWKAQD279+Pf//9V+BEhBB18+LFC1y8eBEAUKFCBTRr1kzgRMIaPHgw9PX1AQABAQFIT08XOBFRR1SBIESDbdiwgT8fOnSogEnUk6WlpUyTrrFjx9LIIoQQGZK7uID4x7Ou95ssXbo02rZtCwD4+PEjTpw4IXAioo50+6+EEA329OlTXLp0CQBQsWJF+Pj4CJxIPQ0ePBjOzs4AxMPd7tu3T+BEhBB1kZ6ezuc8MDAwQJ8+fYQNpCakm8NKX6giRIIqEIRoqE2bNvHnQ4cO1emhW/NiYGCApUuX8uUpU6YgOTlZwESEEHURGBjIJ6Bt3749SpQoIXAi9dC0aVM4OTkBAM6fP4+wsDCBExF1QxUIQjRQcnIyv2pmZGSEvn37ChtIzbVo0QK//PILACA8PFxmnghCiO6S7iQs6TxMxPPpDBkyhC/TzNTke1SBIEQDHTp0CLGxsQCArl27wtraWuBE6m/p0qW8Y6C/vz8iIyMFTkQIEVJ4eDhOnz4NAChbtiyaNm0qcCL10qdPH37O3L59OzIzMwVORNQJVSAI0UDUeTr/qlatyq+oJSYm4o8//hA4ESFESFu2bIFkKqyBAwfyH8tEzNbWFi1btgQgnrD0/PnzAici6oQqEIRomCdPnuD69esAAGdnZ9SvX1/gRJrDz88PlpaWAMQ/Hu7fvy9sIEKIILKysrBlyxYA4uY6/fv3FziRepL+XrZu3SpgEqJuqAJBiIaRPokPGjSIOk/ng42NDb/zwBjD+PHj+RVIQojuCAoKwrt37wCI+0jZ2dkJnEg9tWnThs+lc+zYMd50lhCqQBCiQdLT07Fjxw4AgKGhIXr27ClwIs0zevRoODo6AgAuXryIkydPCpyIEKJqkvMoAPTr10+4IGquUKFCvJxJTU3F3r17BU5E1AVVIAjRIKdPn+ZDDrZr1w42NjYCJ9I8RkZGWLx4MV+eMGEC0tLSBExECFGlxMREHDp0CIB4sknJpGkkZ9SMieSEKhCEaBBJm10AGDBggIBJNFunTp3QsGFDAEBYWBjWr18vcCJCiKocPXoUiYmJAMSj2BkbGwucSL25uLigZs2aAICQkBA8evRI4EREHVAFghAN8enTJwQGBgIASpUqhebNmwucSHOJRCKZuSD8/PwQExMjYCJCiKpIN1+imaflI30XQvr7I7qLKhCEaIhdu3YhIyMDANC3b18YGBgInEiz1apVi/94iI2NxZw5cwRORAhRNunhSMuVKwdPT0+BE2mG7t278zJn7969yMrKEjgRERpVIAjRAIwxmeZLNOSgYsyfP583X1i7di2ePXsmcCJCiDLt3r2bj7zWp08fGsVOTsWKFUOLFi0AAO/fv8eVK1cETkSERhUIQjTAnTt38N9//wEAGjRogAoVKgicSDuUKVMGkyZNAgBkZGRgwoQJAicihCgLYwzbt2/ny7179xYwjeaRHvVv9+7dAiYh6oAqEIRogJ07d/Lnffv2FTCJ9pk4cSJKly4NAAgMDMTZs2cFTkQIUYb79+/zCzGenp5wcnISOJFmadeuHUxNTQEAhw4dQmpqqsCJiJDkakSd37bBRYoUwW+//VagQIQQWenp6XzsbSMjI3Tu3FngRNrF1NQUCxcu5Fcjx44di/v378PQ0FDgZOqDygCiDaTnMOjVq5eASTSTqakpOnbsiF27duHr16/4+++/0bFjR6FjEYGImBzTsFpZWcHV1VXunX769InX8jVNfHw8LC0tERcXBwsLC6HjEIK///4brVu3BgB07twZBw8eFDiR9snKykL9+vVx8+ZNAMCqVaswevRogVPljzLPXbpUBsiDygnNk5WVBQcHB4SHh8PAwAAfP37kMywT+Z0+fRotW7YEAPj6+vL5NIhmUOS5S647EK6urrh06ZLcO/Xx8SlwIEKIrF27dvHn1GZXOfT09LBy5UrUrVsXADBr1iz06NED1tbWAidTD1QGEE13/fp1hIeHAwCaNWtGlYcCatq0KYoXL47Pnz8jMDAQcXFxsLS0FDoWEYBcfSAkVz/lld/tCSE5S0hIwLFjxwAA1tbW+OWXX4QNpMXq1KnDK2ixsbGYPXu2sIHUCJUBRNPt27ePP+/evbuASTSbgYEBunXrBgBITU3F4cOHBU5EhCJXEyZdQremiTrZvn07+vXrBwAYMWIE1q5dK2wgLRcREYGKFSsiKSkJ+vr6ePDgAZydnYWOJRc6d6lOTt91amoqtm3bhgcPHqBo0aKYN2+ewCmJREZGBkqXLo3Pnz+jcOHC+PTpE/2N/IRbt26hTp06AMR3JM6dOydwIiKtR48eKFWqFOrWrZutz6Qiy4l8j8L0+fNnXLlyBV+/fgUA3L59G2PGjMHatWshdF1k9uzZcHV1hbe3N3906tRJ0EyE/Azp0Zeo05/ylS5dGlOnTgUAZGZmYuzYsYKf19SNOpcBQjIwMMC4ceOwfv16mavdRHiXLl3C58+fAYjvjlHl4ed4eHjA0dERAHDx4kV8+fJF4EREIjY2Fnv37sXSpUuxatUqpX5WvisQU6dOxZw5cxAdHY0PHz6gadOmuH37NrZv387HUxfSihUrEBQUxB9HjhwROhIhBRIREYGLFy8CAJycnHj7fKJc48ePh729PQDg3LlzOHHihMCJ1Iu6lwFC0dfXR7Vq1QAAL1++xLdv3wRORCSkR1+i5ks/TyQSoWvXrgDEndOpGZP6CA0N5c9r1Kih1M/KdwXi6dOnOHfuHJycnLBlyxaULl0aV69exfXr12lmQkIUaO/evfyKbq9evWjGVBUxNjbGkiVL+PKYMWOQlJQkYCL1QmVA7qQL7EePHgmYhEikpqbyC4nm5uZo1aqVwIm0g6QCAQAHDhwQMAmRJl2BcHFxUepn5bsCYWRkxH/I7N27F4MHD4aenh4MDAxgZmam8ICE6Crp5kvSM4AS5evcuTOaNGkCAHj79i3mz58vcCL1QWVA7qQrENIFORHO6dOnERcXBwDo0KEDjI2NBU6kHVxdXVGhQgUAwOXLlxEZGSlwIgIADx484M/V7g5EVlYWtm3bBj8/P7x69Yq3y/706RPi4+MVHjC/tmzZAm9vb3h6eqJv3754+fJlntunpqYiPj5e5kGI0EJDQ/kPkLp16/ITNVENkUiEtWvX8snklixZgqdPnwqcSj2oexkgJKpAqB/peXN+/fVXAZNoF2rGpJ4k5x2RSMSbVCpLvisQy5Ytw5IlS7B8+XIsX74cNjY2OHz4MCpXrowWLVooI6PcypYti5o1a+L8+fMIDg5GuXLl4O7ujoiIiFzf4+/vD0tLS/6ws7NTYWJCciY99wN1nhZGpUqVeJv+9PR0jBw5Uqc7CUuocxkgtOrVq/PnVIEQXmpqKk6ePAkAsLS0RLNmzQROpF2kK2TUjEl4mZmZvOlk+fLlYWpqqtTPk2sY17CwMI28ApqZmYnSpUtj4MCBuTZBSE1NRWpqKl+Oj4+HnZ0dDYVIBJOVlYWyZcsiIiKCZkwVWFJSEpydnfHmzRsAwJ49e9S2E6Yyh3HV1DJAWfL6ru3s7PD+/XtYWloiNjaW+i4J6NSpU2jTpg0A8SScO3bsEDiRdmGMoWrVqnj69ClEIhHev3+PUqVKCR1LZz179gyVK1cGkPss4SofxrVBgwaoWLEixowZg9OnT8v84FZn+vr6cHBwyLMZk5GRESwsLGQehAjp6tWr/K7ZL7/8QpUHAZmYmGD16tV8edy4cbw9tS7R1DJACJJmTHFxcXzmYyIM6WY134+HT36edDMmxliOP1iJ6kj3f1B2B2pAzgpEZGQkdu3ahaJFi2LWrFkoVqwYWrdujbVr1+L169fKzii3MWPGZFv34cMHlC1bVoA0hBQMzZiqXtq0aYP27dsDEJ8LZ86cKXAi1dOUMkAdUD8I9ZCeno5jx44BAMzMzNC8eXNhA2kpGo1JfahyCFdAzgqESCRC7dq1MWvWLNy8eROvX79G9+7dce3aNXh4eKBy5coYN24czp07h/T0dGVnztWJEydkxmzfvHkzvnz5ggEDBgiWiZD8yMjI4J3+jI2N0a5dO4ETEQBYuXIlH71lzZo1uH37tsCJVEtTygB1QBUI9RAUFITY2FgA4osAhQsXFjiRdnJ2dkbVqlUBANevX8fHjx8FTqS7VDmEK1CATtQAUKxYMfTq1Qt79uzBly9fsHXrVpiZmWHq1KkoVqwYtm7dquiccpk/fz5WrFgBb29v1K9fH7t378b58+d5mzBC1N3FixcRFRUFQFzo6fqwmOrC3t6e33nIysrCgAEDkJaWJnAq4ahrGVC5cmV4e3vLPDZt2iSzTUREBNq0aQNPT0+4ublhw4YNCs1AFQj1IN2chpovKZevry8AcTOm48ePC5xGd0maMFlYWPDJUJWKKdD9+/dZZGQke/bsmSJ3q1JxcXEMAIuLixM6CtFB/fv3ZwAYAHb48GGh4xApaWlpzNXVlf/7zJo1S+hIMtTh3CV0GeDl5ZXn65mZmczV1ZXNmzePMcbY58+fWYkSJfL9t5bXd52WlsYKFSrEALAqVarka79EMTIyMpiNjQ0DwIyNjdm3b9+EjqTV7t27x8+LzZo1EzqOToqNjeX/Bg0aNMh1O0WWEwW6AwGIe3KHh4fj3bt3/DF8+HCUKFECFStW/LlaDSE66PsZU1u2bClwIiLN0NAQW7duhYGBAQDxHU9dvsKsiWVAYGAgHj9+zPvL2djYoE+fPgqdKNDQ0JA36Xj27BlSUlIUtm8in+DgYHz58gUA0KpVK6UPZ6nrXFxcUK5cOQDApUuXEBMTI3Ai3aPq/g9AAZowXbhwAY6OjrCysoKDgwPKlSuHcuXKwcHBATdv3lRGRkJ0wpkzZ2jGVDXn6uqKyZMnAxD3VxkwYAAyMjIETqVamlwGXLhwAZUqVZJpGujh4YG7d+/y9vKKICnAs7Ky8N9//ylsv0Q+1HxJtUQiETp16gRAfF4MDAwUOJHu0YgKxKhRozB58mQ8fPgQr169knnUrl1bGRkJ0QnSoy9169ZNwCQkLzNmzECVKlUAAHfu3MHChQsFTqRa6lwGJCYmYsCAAWjUqBF8fHzg7+8v01fl1atXKFGihMx7bG1tASDP0aRSU1MRHx8v88gL9YMQTlZWFr+Ta2RkhNatWwucSDdIKhAA+PdPVEfVQ7gCgEF+31C6dGkMHTo0x9e2bNny04EI0UWJiYm881nRokXRtGlTgROR3BgZGWHr1q2oX78+srKyMHv2bDRv3lzwH8+qos5lQKVKlTBixAjUqlULnz9/RuvWrXH37l0+sllSUlK20XiMjIz4a7nx9/eHn5+f3DmoAiGcf//9l48E1KJFC5ibmwucSDfUrVsXtra2iIyMxJkzZ/Dt2zcaBESFJOcZkUiEatWqqeQz830HwtfXF1evXs3xtUWLFv10IEJ00alTp/gPGF9fXxQqVEjgRCQvderUwfTp0wGIZ7zv1asXvn37JnAq1VB1GTBlyhSIRKI8H0+fPgUA7Nq1C7Vq1QIAFC9eHLNnz8ahQ4cQFhYGQDwx4PeT4EmWTUxMcs0wdepUxMXF8cePJoijCoRwpCePk4wORJRPT08PHTt2BACkpKTg9OnTAifSHZmZmXj48CEAwMnJSWUVt3zfgfj111/h6+uLiIgIlCxZEvr6+vy1+/fvKzIbITqDmi9pnhkzZuDMmTO4desWwsLCMG7cuGxDhmojVZcB06ZNw6hRo/LcRtIM6XtOTk4AgJcvX6JChQpwdHTExYsXZbaJjIwEAN4JNCdGRkb8ToU8SpQogRIlSuDTp0948OABGGMQiURyv58UDGOMVyAMDQ3Rtm1bgRPplk6dOmH9+vUAxM2YqP+Jarx8+RLJyckAVNf/AShgBSIzMxMdO3bMdsXmzZs3ispFiM6Ii4vD33//DUD8Q8jLy0vgREQehoaG2L17N1xdXZGYmIiAgAC0bNmSX4XTVqouAywsLGBhYfHD7R4+fIibN29i0KBBfF1ERAQAoGzZsgCAJk2aYP369TLNK0JCQuDu7g4rKyuF5q5RowbOnTuHqKgoREZGomTJkgrdP8kuJCQE7969AwA0bdpU4f+mJG9eXl6wsrJCbGwsAgMDkZqamq+KNykYVU8gJ5HvCkRUVBTu3buX42vynOQJIbKOHz/Om1F07dpV5oouUW/ly5fHypUr+Y/W/v37o0aNGvzKtzZS1zIgOjoaixcvRqdOnVC0aFEkJydj0aJF8PHx4Z3eW7duDWdnZ6xevRpTp05FVFQUduzYgbVr1yo8j4uLC86dOwdA3MGRKhDKd+zYMf5culMvUQ1DQ0O0a9cO27dvR0JCAi5cuIBWrVoJHUvrSXegVuUdiHz3gahevXq2NqQSdIIkJP+o+ZJmGzBgALp27QpAfDfJ19eX307WRupaBtSoUQOdO3dGy5Yt4e3tjYYNG8LJyQkHDx7kzYf09fVx8uRJXLt2DZ6enmjevDlmzpyplB+brq6u/Dk171UNSQVCJBJR8yWB0GhMqifEEK4AIGKMsfy8YcmSJTh69CjatGmTrf3rwoULNX7M6/j4eFhaWiIuLo7uqBCli46Ohq2tLTIyMlC2bFm8efOG2kproISEBHh4eODZs2cAgH79+mHLli0q/bdU1blL28sAecjzXT9+/JiPhtK1a1fs379flRF1TlhYGJ/A0NPTM9eO/kS5kpOTYWNjg8TERBQrVgwfP37kk28S5XBwcMDbt29hbm6Or1+/Qk8v93sDiiwn8v2vOnPmTNja2iIgICDba58+ffqpMITomqNHj/KJyLp27UqVBw1lbm6OI0eOoHbt2khMTMS2bdtQr149DBkyROhoCkdlgHwqVaqEwoULIyUlhe5AqIBkGGwAaN++vYBJdJuxsTFatWqFgwcPIioqClevXoW3t7fQsbRWXFwc3r59C0B8dzivyoOi5fuT6tati9evX+f4qFOnjjIyEqK1pK9K/vrrrwImIT+ratWqMj+qR44ciQsXLgiYSDmoDJCPgYEBqlevDkB8dVxXhvkVClUg1Id0MybpYXWJ4gnVgRooQAUirynKL1269FNhCNElX7584UNKOjo6wt3dXeBE5Gd1794dY8aMAQBkZGTA19dX65r0UBkgP0k/CMYYH6edKN7nz59x7do1AECVKlV4UyYijFatWvG5jE6cOIF8tpQn+SBU/wdAzgqE9FU0U1PTfG1PCMnZ4cOHkZWVBYCaL2mTpUuX8g6ccXFxaNWqFZ9rQFNRGVAw0h2pcxu5ivy8wMBA/iOV7j4Iz8LCAj4+PgCAd+/e0WSKSiQ9ApNa3oGYP39+vnaa3+0J0UUHDhzgzyWj+BDNp6+vjz179sDNzQ0A8PbtW7Rp0wZxcXECJys4KgMKhkZiUg3p4Vs7dOggWA7yP+3atePPT5w4IWAS7SZdOZMM2qAqco3CVK5cOfTv31/unR47dgx37979qWBCoVGYiCpERkaidOnSyMrKQoUKFfDs2TO6A6FlPn78iDp16iA8PByAuO/AmTNnlHZeUea5S5fKAHnI+11/+/YNFhYWYIzBw8MDt27dUmFK3SAZ7SclJQUlS5bE+/fvVdqRlOQsPDycT+BYq1Yt3L59W+BE2iczMxMWFhZISkqCo6MjXr58+cP3qHwUJnt7+3y1ba1UqVKBAxGiCw4dOsSbL/36669UedBCJUuWxD///ANvb29ERUXhxo0baNmyJU6fPg1zc3Oh4+ULlQEFY2ZmhgoVKuD58+d4+PAhMjIyaEhLBTt79ixSUlIAiK96U+VBPdjZ2aFmzZq4d+8eQkJCEBERgdKlSwsdS6uEhYUhKSkJAFCzZk2Vf75cZ7KgoCAlxyBEt1DzJd3g7OyMCxcuoHHjxoiOjsb169fRqlUrnDx5EkWKFBE6ntyoDCg4V1dXPH/+HCkpKXj27BmcnZ2FjqRVaPQl9dWuXTve9ycwMBBDhw4VOJF2ke5XJd1cUlWoqk6IikVERPBJjqpUqaLydotEtWrUqIHz58+jaNGiAICrV6/C09OTj91NtBv1g1CejIwMnDx5EoD4bk/jxo0FTkSkUT8I5ZKuQAhxB4IqEISo2MGDB/mIITT6km5wdXXFuXPnYG1tDQD477//UKdOHWoXrAOoAqE8165dQ0xMDACgZcuWMDIyEjgRkVazZk3ebOnChQs0F4qCUQWCEB0j3XyJJo/THW5ubrhx4wYfo/7Tp0/w8vLCtm3baJx0LSZdsFMFQrFo9CX1JhKJ+F2I1NRUnDt3TuBE2oMxxs8nxYsXR8mSJVWegSoQhKjQu3fv8O+//wIQTztfpUoVgRMRVSpfvjyuX7+Ohg0bAgCSk5PRv39/dO3alV9JJdrF1tYWJUqUACC+YkiVRcVgjPH+DwYGBmjVqpXAiUhOqBmTckRERCAqKgqA+C6nEC0Z8l2BWLp0qTJyEKITDh48yJ9T52ndZG1tjXPnzmHgwIF83aFDh1CjRg0cP35c7X9gUhmQf5JmTNHR0YiIiBA2jJZ49OgRXr9+DQDw8vLSqEEJdImPjw/MzMwAiDtSZ2ZmCpxIOwjdfAkoQAVi/vz5mD17Nt68eaOEOIpx9OhReHh4oGHDhvDy8sLjx4+FjkQIAGD//v38OVUgdJeRkRE2b96MgwcPwsrKCoD4ilKHDh3QuHFj3LlzR+CEudOEMkDdUD8IxZO+mk2jL6kvIyMjNG/eHAD4cNbk52lkBaJq1apwdXXF2LFj0aJFC+zcuRPJycnKyFYgt27dQt++fbFnzx4EBwdj4MCBaNGiBRISEoSORnTcq1eveKdZV1dX3hae6K7OnTsjNDQUTZo04euCgoJQq1YtdOrUCefOnePzhagLdS8D1BH1g1A86QpE27ZtBUxCfkS6GZNk1Czyc6TPIxpTgTh58iQ6dOiAo0ePYufOnfjy5QuaNm2KoUOHqkXNcuHChWjdujUqVKgAAOjVqxcyMjKwbds2YYMRnSfdfIk6TxOJMmXK4Ny5czh8+DDKly/P1x89ehTNmzdHpUqVMGfOHNy4cQMZGRkCJhVT9zJAHUnfgZC+ckgK5uPHj3xW7xo1asDBwUHYQCRPrVq14hP8UT8IxZCcR0xNTWXKDVXKdwVCehbNIkWKoHTp0jA1NUVAQAB69uyJOnXqYOnSpXx2PFW7cOECatWqxZf19PTg7u6O8+fPC5KHEAlqvkRyIxKJ0KlTJzx+/BjLly+Hra0tf+3FixeYNWsW6tWrh2LFiqFjx444fPiwYFnVvQxQR+XLl4eJiQkAugOhCIGBgfy59NVtop5sbGxQv359AMCTJ08QFhYmcCLNFhsby5uQuri4CDb7er4/tX379rh79y5GjRqFkiVLYvDgwShTpgwuX76Mly9f4sqVK7C2toavr68y8uYpOjoa8fHxfMQLCVtbW97Z6nupqamIj4+XeeSkU6dOGDNmDA4ePIjPnz8rPDvRbmFhYfyKQa1ateDo6ChwIqKOChUqhN9//x3v3r3DwYMHZZo2AUBcXByOHTsmaB8JdS4D1JW+vj5q1KgBQNyUMS4uTuBEmk36KjZVIDQDNWNSHHVovgQUoAJx5coVeHh44OHDh1i6dCk+fvyILVu28GEJjYyM0LdvX7x7907hYX9EcsXr+8lkjIyMcr0a5u/vD0tLS/6ws7PLtk1kZCSOHj2KVatWoWvXrihZsiSaNGmCjRs34suXL4o/EKJ1aO4Hkh+Ghobo3Lkzzp8/jzdv3iAgIABdu3blE9E1a9ZMsGzqXAaoM+lmTKGhocIF0XBJSUm8RUHJkiXh7u4ucCIiDxrOVXHUoQM1UIAKRIUKFfD8+XNcvnwZ/fr1g6mpabZtFi9ezK+2qJLkFnFqaqrM+tTUVP7a96ZOnYq4uDj+CA8Pz7bNgwcPZMbYzcrKwsWLFzFs2DCULl0aQ4YMwcuXLxV4JETbSDdf6tKli4BJiKaxt7fHoEGDsH//fnz+/Bl3797lzQGEoM5lgDqjjtSKcf78eaSkpAAQd54WqvkGyZ9KlSrxgUOuXr2K6OhogRNpLo29AxEQEAAnJyeZdSkpKZg8eTJv1zZ58mTs3btXMQnzwdraGpaWlvj06ZPM+sjIyFybjBgZGcHCwkLm8b0WLVogOjoap06dwsSJE2WOPz09HQEBAahYsSJ69+5NQxuSbJ48eYKHDx8CAOrWrQt7e3uBExFNpaenh5o1a2a7y6pK6lwGqDPqSK0Y1HxJc0n+vTIzM/HPP/8InEZzSc4fBgYGcHZ2FixHvisQM2fOzLbO0NAQ7u7u6N+/v0JC/Yzvx1BnjOHu3bto2rTpT+3XysoKrVq1wuLFixEWFoY7d+5g/PjxvMKRlZWFXbt2wdnZGcuWLVOL0VKIeqDmS0SbqHsZoK6qVavGr5bTHYiCycrK4u3njY2N0bhxY4ETkfygZkw/Lzk5GU+ePAEgHlJbyItJCrn3p6+vj+bNm6vFqBtTpkzBqVOn8OLFCwDA7t27oa+vj759+yrsM0QiEdzc3PDnn3/i7du3mDt3LooWLQpA3D5z/PjxqFOnDh48eKCwzySaS7oC0blzZwGTEKIc6lQGqCsTExNUqlQJgHgW5e+b2pIfu3XrFh/EpHnz5jA2NhY4EcmPevXq8X5cp0+fpr+BAnj48CGfzVvI5kuAnBUIPz8/6OnpQV9fH5cvX4a+vn62h7W1taC3UiRq166Nbdu2oVu3bmjYsCECAgJw5swZmJubK+XzihQpgj/++AOvX7/GyJEjeV+Ju3fvom7duti+fbtSPpdohkePHuG///4DADRo0ABlypQROBEh+adJZYA6k3T4TU9Px6NHjwROo3mo+ZJmMzAwQKtWrQAACQkJuHz5ssCJNI90CxuhBxAw+PEmQL9+/eDt7Q3GGMaOHYsVK1bIvK6npwcbGxtUrlxZGRnzrWPHjujYsaNKP9PCwgJr1qxBr169MHjwYDx69AgpKSno168fbt68iRUrVqBQoUIqzUSER3M/EG2gaWWAuqpVqxZ27doFAAgJCRH8B4CmkVQgRCIRWrduLXAaUhDt2rXDzp07AYj/PZs3by5wIs0SEhLCn0vPeSYEEWOM5ecNly5dgo+Pj7LyCC4+Ph6WlpaIi4vLsUO1PFJTUzFmzBhs3LiRr6tfvz5OnjzJmzoR7ccYQ+XKlfH8+XOIRCJERESgZMmSQsciWkoR5y55aHsZII+CftdXr17lw90OHjwYmzZtUlZErfPy5Us+4269evVw/fp1gRORgkhISECxYsWQlpYGOzs7vH37VmaUS5I3V1dXPHjwAHp6ekhISMh1hNHcKLKcyHcfiLwKDrqlKGZkZIQNGzZgy5YtvIPL9evX4e3tjcjISIHTEVV58OABnj9/DgDw8vKiygPRClQGFJyrqyvvSC19JZH8mPTkY/T/THOZm5vzc0h4eDj1Fc2H5ORkPH78GADg7Oyc78qDosnVhGnlypWwtbXFr7/+mueoBzSyhKz+/fujRo0aaN26NT59+oSHDx+iYcOGOH/+PA3lqQOo+RLRFlQGKIaZmRkqV66M//77jzdzLVy4sNCxNAJVILRHu3btcObMGQDiZkzSQxyT3IWGhvIRPtWh+aNcdyCCgoJw69YtAMDr16/h5eWV46NIkSLKzKqR3N3dERwcjLJlywIAXrx4AU9PT7x69UrgZESZGGN89CU9PT34+voKnIiQgqMyQHGkO1JL5ocheYuNjeUdbp2cnFClShWBE5Gf0bZtW/6chnOVnzp1oAbkvANx9OhR/rxr166YNWtWjtvREH45q1ChAq5evYpmzZrh2bNniIiIQLNmzXDt2jXY2toKHY8owZ07d3gl0cfHB8WLFxc4ESEFR2WA4tSqVYt3Ir1z5w48PDwETqT+Tp8+zYeubNeuHbWZ13B2dnZwdXXF/fv3cefOHURERKB06dJCx1J76tSBGihAH4hFixYV6DVdZ2dnhytXrvArJ69evUKLFi3w9etXYYMRpaDJ44i2ojLg50hfOaR+EPKh4Vu1j/S/Y2BgoIBJNIfkDoS+vj5cXFwETlOACsSePXvg5uaG+fPn83WLFi1C7969ER8fr9Bw2qZ48eI4e/Ysb84UGhqKtm3b0lU7LSPdfElfXx+dOnUSOBEhikNlwM+R7kgt3SSB5CwtLQ3//PMPAPG8S56engInIoog3YxJun8Lydn3HajVYRLFfFcg1q5diwkTJmDatGl83fjx4+Hp6YkRI0YoNJw2KlOmDM6dOwcbGxsA4mH9+vXrh3yOpkvU2M2bN/H27VsAQNOmTfnMm4RoAyoDfo6pqSm/Ey3pSE1yFxwcjLi4OABAq1atYGhoKHAioghubm4oVaoUAODChQtITEwUOJF6e/DgAW/Gpw79H4ACVCAKFSqEHj16yLRBNDAwwLBhwxAREaHQcNqqYsWKOH36NMzMzAAABw8ehL+/v8CpiKJQ8yWizagM+HmS9ssZGRkIDQ0VOI16o+ZL2klPTw9t2rQBAKSkpOD8+fMCJ1Jv0ncr1aH/A1CACkRMTEyOV8uzsrIQExOjkFC6wM3NDbt37+aF8B9//EG38bRAVlYWr0AYGhqiQ4cOwgYiRMGoDPh51A9CPowxXoEwMDDAL7/8InAiokjUjEl+0ucJjb0DUbduXbRv3x5BQUEIDw9HeHg4Ll++DF9fX9StW1cZGbVWu3btMHfuXADiE2XPnj3x33//CZyK/Ix///2XX4Vt3rw5rKysBE5EiGJRGfDzpK8gUj+I3D169Ahv3rwBAHh7e8PS0lLYQEShmjRpwtvyBwYGIisrS+BE6ktynjAwMECNGjUETiOW7wrEsmXLYGZmhsaNG8PBwQEODg5o3LgxTE1NsXz5cmVk1GrTpk3jk4wlJCTA19eX2gJqMOnJ46j5EtFGVAb8PBcXF5qRWg40eZx2MzY2RrNmzQAAnz59wu3btwVOpJ6SkpLUrgM1UIAKhKmpKfbs2YMXL17g+PHjOH78OF68eIFdu3YJPq22JhKJRNiyZQsfkuvp06cYNWqUwKlIQWRmZuLgwYMAxO3EqcAj2ojKgJ9nYmICZ2dnAMDjx4+RnJwscCL1JN3/Qbq5C9Ee0uUkNWPK2YMHD/jdGXXp/wAUoAIh4ejoiOrVq6N69eooV66cIjPpHFNTUxw4cACmpqYAgG3btmHXrl0CpyL5dfXqVURGRgIAWrZsSbfbiVajMuDnSNoxZ2Zm4v79+8KGUUORkZG4efMmAKBGjRpwcHAQNhBRitatW/PnNCt1zqTvzKhL/weggBWIRYsWwcrKCo6OjnB0dISVlRUWL16s6Gw6pWLFitiwYQNfHjZsGJ4/fy5gIpJf0s2XJM3SCNFGVAb8vNq1a/Pnkh/K5H+kJxeju7nay9bWlv8tPHz4kA+BTv5H+vwgfd4QmkF+3zB79mwcOHAAs2fPRvny5QEAL168QEBAAJKTkzFr1iyFh9QVvXr1woULF7Bt2zYkJiaiW7duuHHjBgoVKiR0NPIDGRkZOHz4MACgcOHCdLudaC0qAxSjTp06/DlVILKj4Vt1R7t27XDr1i0A4mZM1IxbluT8ULhwYbXpQA0AYPlUvXp1FhcXl219XFwcq169en53p3bi4uIYgByPURW+ffvGKleuzAAwAGzGjBmC5CD5c/78ef5v5uvrK3QcooNUde4Sugx4/vw5q1evHvPy8srx9a9fv7JevXoxDw8PVrNmTTZ79myWlZUls83jx4+Zl5cXa9iwIXN3d2eHDx/OVwZFfNdpaWnM2NiYAWAODg4F3o82SkxMZIULF2YAmK2tLcvMzBQ6ElGiBw8e8PKzWbNmQsdRK58/f+bfTf369X96f4osJ/LdhMnY2BgWFhbZ1ltYWKhNz3BNZmpqit27d8PAQHxzaMGCBTQygQag5ktEVwhZBuzcuRN9+vThIxjlpHfv3ihcuDBu3bqFq1ev4uDBgzKjQyUkJKB58+YYPHgwrly5gj179qBv3778CqiqGBoa8vbMb968wefPn1X6+ers/PnzfIbutm3b5vnvTTRf9erVYW9vDwAICgpCfHy8wInUh/R5SfqupTrI919l4cKFZX4sSRw4cACFCxdWSChd5+bmhhkzZgAQd7Dr27cvP5kS9ZOeno4jR44AEI+uIt0pjBBtI2QZYG1tjcuXL/OmU98LDQ3FyZMnMWHCBADiv8cRI0Zg4cKFyMzMBABs3boVWVlZ6NGjBwBx/7OWLVti0aJFSs2eE2rGlDNqvqRbRCIRb/abnp6OM2fOCJxIfUifFzS+AvHnn39i2LBhcHBwQJMmTdCkSRM4ODhg2LBhWLp0qTIy6qSpU6fyq1NPnjzhFQqifi5evIjo6GgAQJs2bfhoWoRoIyHLgFatWuXZJ+zChQswMzNDpUqV+DoPDw98+fIFoaGhfBt3d3eIRCKZbS5cuKC84LmgCkR2WVlZvAO1sbExmjRpInAiogo0nGvOtKoC4eHhgbCwMPTt2xdWVlawsrJCv3798Pz5c7Uan1bTGRoaYvv27bywXLp0Kf7991+BU5Gc0ORxRJeocxnw6tUrlChRQmadra0tAOD169d5bhMXF4eYmJgc95uamor4+HiZhyJQBSK727dv49OnTwCA5s2bU9NoHeHl5QVzc3MAwN9//42MjAyBEwkvKyuLN2EqUaIEb+alLvI9ChMAFCtWDH5+ftnWp6amwsjI6KdDETFnZ2fMmzcPkyZNAmMMQ4YMwZ07d2hUJjWSlpaGo0ePAgDMzMzQsmVLgRMRonzqWgYkJSVl+3zJclJSklzbFC1aNNt+/f39czzen2VnZwdbW1tERkbi1q1byMrK0vn2/tR8STcVKlQILVq0wKFDhxAdHY1///0XDRs2FDqWoMLCwvD161cA4osN0ndN1YFCz1T040nxxo4dCzc3NwDAo0ePsGTJEoETEWnnzp3jf+Dt2rWjq2VEpxWkDJgyZQpEIlGej6dPn8q1LxMTE6SmpsqskyxLZsmWZ5vvTZ06FXFxcfwRHh6er2PMjUgk4nch4uPj8ezZM4XsV5NJKhAikYj6k+kYasYkS52bLwFy3oFwdHSUa2eSWXiFUrlyZX67WqJHjx4YMmSIQIl+noGBAQICAlC7dm1kZmZi7ty56NKlCypWrCh0NAJxx1EJar5EtJUyy4Bp06b9cNz378/ruXF0dOTNX77PJDmG3LaxtLTM8e4DIL5Doaw7K3Xq1MHx48cBiH8wVKlSRSmfowlevXqFR48eAQDq1q2brakZ0W6tWrWCnp4esrKycPLkSZ2fnFIrKhBGRkaYMmVKntswxgQZxUKara0tgoKCBM2gDG5ubhg7diz+/PNPpKamYujQobh48aLa3c7SNSkpKTh27BgA8RCWLVq0EDYQIUqizDLAwsIix2FhC6JJkyYYN24cnj9/zi+yhISEoHjx4nwCpiZNmmDRokVgjPFzaEhICJo2baqQDPn1fT+Ifv36CZJDHUhfdabmS7rH2toanp6eCA4OxtOnTxEWFoYKFSoIHUswkgqESCSCh4eHwGmyk6sCMXz4cPTt2/eH29HYvcoze/ZsHDp0CG/evEFQUBC2b9+u0wWNOjhz5gz/P9+hQwfq/0O0lqaUATVq1EDbtm2xdOlSbNy4EcnJyVi/fj0mT57M+xb0798fixcvxr59+9C9e3eEhYXhn3/+wfnz5wXJ7OHhAZFIBMaYznekpv4PpG3btggODgYgrlCOGzdO4ETCSE5OxoMHDwAAVapUUdhFFkWSqw/Eb7/9lm3d69evcf36dQBAbGxsrtsRxTA1NcWGDRv48qRJk3jbeyIM6eZLNHkc0WbqUgacOHEC3t7eOH36NO7fvw9vb2/89ddfMtvs2LEDiYmJqFOnDurXrw9fX1+MHTuWv25ubo4zZ85gw4YNaNiwIbp3745t27ahdu3aSs2eG3Nzczg7OwMQz2Mh6eyta2JjY3H58mUA4mZmutyUS5dJ5oMAZCuUuubevXt8JCp1bL4EAMjv1NUxMTGsRYsWTCQSMUdHR8YYY8OHD2eNGzdmX758+empsX9GrVq1WP/+/VnDhg2Zt7c3W7BgAUtNTc3zPSkpKSwuLo4/wsPDFTbNtzL4+vryac1/++03oePorKSkJGZmZsYAMCsrqx/+PyNE2eLi4lRy7lLnMkBVFP1dDxw4kJ/Xg4ODFbJPTbNnzx7+Hfz+++9CxyECycrKYhUqVGAAmL6+PouJiRE6kiCWLVvG/x42bNigsP0q8tyV71GYxo4di3LlyuH27dsoVaoUAGDdunUYNmyY4HcgKlWqhBEjRuDKlSvYv38/jhw5gp49e+b5Hn9/f1haWvKHnZ2ditIWzLJly/hIIWvWrOGTIxHV+ueff/Dt2zcAQMeOHWloXaIz1LkM0FR169blzyV3dXQNNV8igOys1JmZmfjnn38ETiQM6Xm/1PUORL4rEK9fv8b69evh7u4OQ0NDvr5Lly7ZRrZQhPwM8bdr1y4+kVHx4sV5v4GwsLBc96+s4fmUpWzZspg+fToA8SQjo0aNAmNM4FS6R3ryOGq+RHSJqssAXVC/fn3+/Nq1awImEUZ6ejr/oVikSBE0aNBA4ERESNIVSF1sxsQYw9WrVwGImzhWr15d4EQ5y3cFIjk5mT+X/uHKGFNK4TFt2jSEh4fn+ShfvnyO73VycgIAvHz5Mtf9GxkZ8VFAFDkaiDKNHz+eH3NwcDD27NkjcCLd8u3bNwQGBgIQjxrRuHFjgRMRojqqLgN0QeXKlfkQsteuXUNWVpbAiVQrODgYcXFxAMRDeUpXTInu8fT0hJWVFQDxrNTfz9ui7V6/fo2PHz8CAOrVqwd9fX2BE+VMrgqE9CQ+Dg4OmD59OmJiYvgQeM+fP0e/fv34MHmKZGFhgTJlyuT5MDAwwMOHD7F582aZ90ZERAAQX7XXJkZGRli1ahVfnjBhguCjn+iSo0eP8o6Ovr6+VNgRrSdkGaAL9PT04OnpCQCIjo7WuQnlqPkSkWZgYMCbMSUkJODixYsCJ1Ityd0HAGp9N06uCkSfPn14b/DVq1cjKCgINjY2uHLlCgwNDVGlShW8evUKK1euVGrYvERHR2Px4sWIiYkBIL5KtmjRIvj4+GjlaA4tW7ZE+/btAYgnQZozZ47AiXTH9u3b+fM+ffoImIQQ1dCEMkDTSf9Q0KVmTIwxXoEwMDDAL7/8InAiog46duzInx89elTAJKqnKRUIEZOjAb2trS1Kly6NmjVrokePHmjcuDGCgoL4jJHVqlWDt7e3srPmKSYmBn/++ScuXLgAY2NjfPv2DR4eHpg3bx6sra3l3k98fDwsLS0RFxen9s2ZXr9+japVqyIlJQUGBgYIDQ3VysqSOgkPD4e9vT0YY3ByckJYWBhN6EfUgjLPXZpQBqiSMr7r69ev87sQffv2xbZt2xSyX3X36NEj3sa7adOmOHfunMCJiDpISkpCsWLFkJycjOLFi+PDhw9q25RH0apWrYonT57AwMAAX79+hampqcL2rchzl1x3ILp37447d+5g0KBBOHbsGNzd3XHy5EnUq1cPo0aNUouCo2jRoliwYAFu3ryJoKAghISEYP369fmqPGiacuXK8dlhMzIyMGnSJIETab/du3fzdt99+vShygPRCZpQBmg6d3d3Phml9BVIbUfNl0hOTExM+N2oz58/y4xKpM2io6Px5MkTAICbm5tCKw+KJlcFYvny5QDEQ82tWrUKt2/fRosWLbBmzRrUrl0bfn5+eY50RJRn4sSJKFOmDAAgMDBQsNlUdQFjTKb5Uu/evQVMQ4jqUBmgfEZGRnwyu5cvX/JOlNpOugIhPYkYIbrYjEl6GGd1br4EFGAUJkDc4at58+bYunUrgoODoaenh2rVqgk2k6cuMzExwYIFC/jy+PHjkZmZKWAi7RUSEsI7kzZq1AjlypUTOBEhwqAyQDkkTZgA3egHERkZiZs3bwIAqlevDgcHB2EDEbXSunVr3mzp6NGjOjFkvfTdR+nzgToqUAUCAD58+IClS5eifv36mDVrFhhjKF68uCKzETn17NkT7u7uAIDQ0FCZq+REcXbs2MGfU+dpouuoDFA86SuOutCMSTIcNkDNl0h2RYsW5c0jX79+rRMT52pdBWLjxo0AgLi4OPz1119o0qQJ7O3tMWnSJJiammLdunX4+PGjzMmAqI6enh6WLVvGl6dPn85nSSaKkZaWhr179wIAChcujM6dOwuciBDVoTJANXRtQjnq/0B+RJeaMSUnJ+P27dsAgAoVKqBEiRICJ8qbXBWIJUuWwNfXF7a2thg8eDBiYmKwYMECvH37FleuXMGwYcO0urOyJmjUqBH/Q4uMjMTixYsFTqRd/v77b0RHRwMQn9AsLS0FTkSI6lAZoBpWVlaoVq0aAODevXtafSEoKSmJ99mztbVFrVq1BE5E1FGHDh34c22vQISEhCA9PR2A+vd/AOSsQLx69QqhoaGYOHEiHj9+jHv37sl03iXqYdGiRXxSsz///BPv378XOJH2oLkfiC6jMkB1JD8cMjMzef8AbXT27Fk+q3mbNm2gp1fgFtVEi5UuXZr3rQoNDcWrV68ETqQ8mjL/g4Rcf7H169dHWFgY5syZQ/MMqLEKFSpg1KhRAMS3wqZPny5wIu0QFRWFU6dOAQBKliyJpk2bCpyIENWiMkB1pH84BAcHC5hEuQ4dOsSfd+rUScAkRN3pSjMmraxAHDhwQNk5iIL88ccfsLKyAiDu9Hvnzh2BE2m+/fv389uKPXv2hIGBgcCJCFEtKgNUR/qHw+XLlwVMojypqak4efIkAMDS0hJNmjQROBFRZ7pQgcjIyOAXDIoXL44KFSoInOjH5KpAlCpVStk5iIIULVoUs2bN4svjx4/XiaHPlEm6+VLfvn0FTEKIMKgMUB17e3s4OjoCEI8Jn5SUJHAixTt//jzi4+MBAO3bt0ehQoUETkTUWaVKlfidz+vXr+PTp08CJ1K8kJAQJCQkAAB8fHw0YpJaanSohYYPH85rr5cvX8bx48cFTqS5QkND+agINWvW5B0cCSFEWRo3bgxAPPqb9MRS2uLw4cP8ua+vr4BJiKaQ3IVgjGnlb5qLFy/y55pyR44qEFqoUKFCMqMwTZw4EWlpaQIm0lybN2/mzwcNGiRgEkKIrpD+ASH9w0IbpKen49ixYwAAMzMzNG/eXNhARCNIN2OSroBqC+m/c8kFBHVHFQgt1b59e3h5eQEAXrx4gfXr1wucSPMkJydj586dAABjY2P06NFD4ESEEF3g4+PDn2tbBeLSpUuIjY0FIB59qXDhwgInIprA3d2dz1R+4cIFREVFCRtIgVJSUvi8L2XLluVNGNUdVSC0lEgkwrJly3g7Oj8/P8TExAicSrMcPnwYX79+BQB06dIFRYoUETQPIUQ3lChRAs7OzgCA27dvIy4uTuBEiiN99Zgm5CTyEolE6Nq1KwDxEMfa1Jn633//RUpKCgDx3QdN6P8AUAVCq7m5uaF3794AgNjYWMydO1fgRJolICCAPx88eLCASQghukbSjCErKwtXrlwROI1iSP/wMzY2xi+//CJwIqJJunTpwp8fPHhQwCSKpYn9HwCqQGi9+fPnw9jYGACwdu1ahIWFCZxIMzx//pwX2pUrV4anp6fAiQghukS6HbS2NGMKDg7Gly9fAACtWrWCqampwImIJnF3d0e5cuUAiP8mJP+XNJ3037d080V1RxUILVemTBlMmDABgLjz2qRJkwROpBm+7zytKbcUCSHawcvLi8/OrC0ViP379/PnNPoSyS9tbMaUkJCAW7duARAPV1u6dGmBE8mPKhA6YNKkSbC1tQUAHDt2TGsnJ1KUtLQ0bNu2DQBgaGiIPn36CBuIEKJzrKys4ObmBkA8nPTnz58FTvRz0tPTebMTY2NjtG3bVuBERBNJKhCAdkxwGRwcjIyMDACaM/qSBFUgdICZmRnmz5/Pl8eNG4esrCwBE6m3I0eO8FujHTp0gI2NjcCJCCG6SPoHRVBQkHBBFODChQuIjo4GALRt2xZmZmYCJyKaqGbNmnBycgIgHtFL0yvWmtr/AaAKhM7o27cvXFxcAAB3797Frl27BE6kvtauXcufDx8+XMAkhBBdpk39IPbu3cufd+/eXcAkRJOJRCLemTorKwtHjhwRONHPkf679vb2Fi5IAVAFQkfo6+tj6dKlfHnatGlITEwUMJF6evDgAa5evQoAqFq1qsb9QRNCtEeDBg1gaGgIADh79iwYYwInKpiUlBTeXt3S0hItW7YUOBHRZNLNmKT71WiaL1++4P79+wAAFxcXWFtbCxson6gCoUOaNGnC251GRETIVCiImPTdh5EjR1LnaUKIYExNTdGgQQMAwOvXr/Hs2TOBExXM33//jYSEBADiGYWNjIwETkQ0maurKypUqAAAuHz5Mt6/fy9wooL5559/+EUBTRzSmCoQOmbJkiUwMDAAACxatAgfPnwQOJH6iI2Nxe7duwEA5ubmfA4NQggRSuvWrfnzU6dOCZik4Kj5ElEkkUiEnj17AgAYYzL/vzSJ9N+z9N+5pqAKhI6pVKkSb9eflJSE6dOnC5xIfWzbtg1JSUkAxH1GzM3NBU5ECNF1ml6BSEhIQGBgIADAxsZG40aaIepJUoEAwC/8aZL09HScOXMGgHjEtXr16gmcKP80qgIRFhaG+vXr59ouPS4uDr1790bt2rXh5uYGPz8/jW0zqkyzZs1CkSJFAADbt2/H3bt3hQ2kBrKysrBu3Tq+PHLkSAHTEEKIWKVKleDo6AhAPORjXFycwIny5/jx40hJSQEgnklYcgeckJ9Rvnx51KlTB4C47+LDhw8FTpQ/169f53/LLVq00Mi/C42pQOzcuRN9+vThE+vkpHfv3ihcuDBu3bqFq1ev4uDBg1i+fLkKU2oGa2trzJw5E4D49t/48eN1vqJ19uxZvHjxAoC4r0jlypUFTkQIIeLmGpK7EBkZGTh37pzAifJH+uowNV8iitSrVy/+XNPuQmh68yVAgyoQ1tbWuHz5MsqXL5/j66GhoTh58iSfddnExAQjRozAwoULkZmZqcqoGmHkyJH8uwwKCsKJEycETiQs6Q7lo0aNEjAJIYTI0tRmTB8+fMDZs2cBAPb29qhfv77AiYg2+fXXX6Gvrw9AXIHQpPmtJH/HIpEILVq0EDhNwWhMBaJVq1YoVKhQrq9fuHABZmZmqFSpEl/n4eGBL1++IDQ0VBURNUqhQoWwePFivjxx4kSkpaUJmEg49+7dw/nz5wGIb4vSDKmEEHXi5eUFExMTAOKRWzTlh9KuXbt41r59++bZgoCQ/LKxseGjF71//x5XrlwROJF83rx5g//++w8AUKdOHY2drFZr/ppfvXqFEiVKyKyztbUFIB7+LjepqamIj4+XeeiKDh06oFGjRgDE/UtWr14tcCJhSN99GDduHL+iQQgh6qBw4cJo2rQpAODTp08a0W+NMYZt27bx5T59+ggXhmgtTWzG9Pfff/Pnmtp8CdCiCkRSUlK2saUly5KRdXLi7+8PS0tL/rCzs1NqTnUiEomwbNkyPteBn58fPn78KHAq1QoPD8e+ffsAAMWKFUPfvn0FTkQIIdlpWjOm27dv48mTJwCARo0awcnJSeBERBu1a9cOZmZmAICDBw8iOTlZ4EQ/pg39HwCBKxBTpkyBSCTK8/H06VO59mViYoLU1FSZdZJlya3fnEydOhVxcXH8ER4eXvAD0kDu7u4YPHgwAPFwe5MnTxY4kWqtXLmS95EZOXJknv9XCCFEKK1ateLPNaECIX33gS7MEGUxMTGBr68vAPFInIcPHxY4Ud6SkpJw8eJFAECpUqXg6uoqbKCfIGgFYtq0aQgPD8/zkVun6e85Ojri06dPMusiIyP5a7kxMjKChYWFzEPXzJ8/H1ZWVgDEo11du3ZN4ESqERcXh02bNgEQNxEYMWKEwIkIISRnZcqUgYuLCwDx1X11ngQ0JSWF39k1MTFBly5dBE5EtNnAgQP5882bNwuY5MfOnz/PhzVu1aoVbwGiiQStQFhYWKBMmTJ5PuQdG7dJkyb49u0bnj9/zteFhISgePHiqFGjhrIOQSsUK1YM8+bN48ujRo3SiZGrNm7ciISEBADiK2TFixcXOBEhhOSuffv2/PnRo0cFTJK3kydPIjY2FgDg6+tLk3ISpWrQoAEfQOfy5csyvwPVjfQdEum/Z02kNX0gatSogbZt2/IOscnJyVi/fj0mT55MIz/IYejQofxW2v379/mVeW2VmJiIP//8E4C4L8jYsWMFTkQIIXnr3Lkzf37o0CEBk+Rt69at/Dk1XyLKJhKJMGjQIL78119/CZgmd2lpaTh+/DgAwNzcHM2aNRM40c/RmF/WJ06cgLe3N06fPo379+/D29s723+SHTt2IDExEXXq1EH9+vXh6+tLPwzlpK+vjzVr1vDl6dOnIyoqSsBEyrV+/Xp8+fIFgHgsaenhfwkhRB1Vq1YNFSpUAABcuXIFnz9/FjhRdm/evMHp06cBAGXLloWPj4/AiYgu6NOnDwwNDQGI+9+kp6cLnCi7ixcv8tmn27Vrl23gH02jMRWIdu3aISgoCJGRkfj69SuCgoJk2r0BQJEiRbBr1y7cvHkT9+7dw6xZszS6fZmqeXp6onfv3gCA2NhY/PHHHwInUo7ExEQ+B4ZIJMKMGTMETkQIkVdYWBjq168Pb2/vHF8vUqQIvL29ZR7fT5T533//wdvbG40aNUKtWrVw5MgRFST/eSKRiN+FyMrKwrFjx4QNlINNmzaBMQYAGDJkCLUAICpRvHhx3iTo8+fPCAwMFDhRdtJ3DSUdvzUZ/WUTGYsWLeLtVTdt2oRbt24JnEjxNmzYwO8+dO3aFVWrVhU4ESFEHjt37kSfPn3y/FHq6uqKoKAgmUe7du346wkJCWjevDkGDx6MK1euYM+ePejbt6/GnOukf3js379fwCTZpaam8k6shoaG2S7yEaJM0s2YAgICBEySXVpaGu+3ZGJiorGzT0ujCgSRUbJkScyePRuAeCKgQYMGqeWtwIJKSkqiuw+EaChra2tcvnxZ7tH5crJ161ZkZWWhR48eAICKFSuiZcuWWLRokaJiKpWbmxufU+HSpUtqNRrT4cOH+cUZX19fPpkrIarQrFkz2NvbAwBOnz6Nd+/eCZzof86cOYOYmBgA4s7T2jBkPFUgSDa//fYb71D98OFDmZmaNd2GDRt4u+GuXbvC2dlZ4ESEEHm1atUKhQoV+ql9XLhwAe7u7jLNWz08PHDhwoWfjacSIpEIPXv2BCC+yCMZLlUdrFu3jj+nYbGJqunp6fG7XowxrF27VuBE/yM9S7bk71fTUQWCZGNgYICAgADeTMDPzw8vXrwQONXP+/r1KxYsWACA7j4Qoq0iIyPx66+/olGjRmjatCk2bNiArKws/vqrV69QokQJmffY2toiLi6OXyH8XmpqKuLj42UeQpLcPQFkf5gI6cGDB3wOIWdnZzRo0EDgREQXDR48mF9k2LRpExITEwVOJG42KemHZW1tjebNmwucSDGoAkFyVKtWLYwZMwaAeFKgYcOG8Y5xmsrf3x/R0dEAgO7du9PdB0K0UPny5bFgwQJcuXIFGzduxKJFizB58mT+elJSUrbRTyTLSUlJOe7T398flpaW/GFnZ6e8A5BDpUqV4O7uDgC4e/cunjx5ImgeQDyyncSIESNoABMiCFtbW3Tv3h2A+KLh9u3bBU4knrMlOTkZgLjlg2S0KE1HFQiSqzlz5vD2hBcuXMCWLVsETlRwb968wYoVKwCIfyxI7kQQQoQ1ZcoUiESiPB9Pnz6Ve3+BgYG8j4CTkxMmTJiA5cuX8wLcxMQEqampMu+RLOfWLnnq1KmIi4vjj/Dw8IIcqkL16tWLP5eed0EIsbGx2LVrFwDAzMxMJhshqiY9fP+KFStk7kAKQfq3k7Y0XwKoAkHyYGZmJnNVaezYsXjz5o1wgX7C1KlTkZaWBgD4/fffecWIECKsadOmITw8PM/Hz3SadnJyQmZmJt6+fQsAcHR0xKdPn2S2iYyMhKWlJYoWLZrjPoyMjGBhYSHzEFrPnj35lczt27cLOtjF2rVreVORPn36qMX3Q3SXi4sLn38kLCwM//zzj2BZwsLCcPnyZQDiO4f169cXLIuiUQWC5Klly5bo378/AHE7vv79+wtem8+vmzdv8o6GxYoVw9SpUwVORAiRsLCwQJkyZfJ8GBgYyLWvCxcuZJvzISIiAiKRCGXKlAEANGnSBHfv3pVpkhkSEoKmTZsq7qBUwMbGRi3GvU9KSsLKlSsBiDuxjh8/XpAchEj7/fff+fPly5cLlkP67sPAgQO1qmkfVSDID61YsQJly5YFAAQFBcnMWK3usrKyMG7cOL7s5+cHS0tLARMRQpQlPDwcS5Ys4X0ZYmJisHLlSvTp0wdmZmYAgP79+0MkEvGLCpIrlJMmTRIsd0FJj3svmX9B1TZv3oyoqCgAQLdu3eDo6ChIDkKktWnTht+5vHDhAkJDQ1WeIT09nffBMDAwQJ8+fVSeQZmoAkF+yMLCAtu2bePLkydPzlebZCFt2bIF169fByC+fTh48GCBExFCCurEiRPw9vbG6dOncf/+fXh7e+Ovv/7irzdp0gQ1a9aEj48PvLy80KxZM7Ru3VpmeFFzc3OcOXMGGzZsQMOGDdG9e3ds27YNtWvXFuKQfkrTpk35xZ1//vkHL1++VOnnp6Wl4c8//+TLU6ZMUennE5IbPT09PhAMAD7/kyodPXoUHz9+BCCu0Hw/+pumEzFNH1pHweLj42FpaYm4uDhqx/mdMWPGYNWqVQDEs73++++/KFy4sMCpcvfx40dUqVIFcXFxAICzZ8+iWbNmAqciRDno3KU66vRdL1y4kDfLHDt2LJYtW6ayz962bRtv4tqmTRucPHlSZZ9NyI8kJibCwcEBUVFR0NPTw5MnT1CxYkWVfX7Dhg1x9epVAMD58+fRpEkTlX12bhR57qI7EERu/v7+qFy5MgDg/v37MiMdqKPffvuNVx769OlDlQdCiNYZNGgQv5Dz119/4du3byr53KysLJnZu6lvGVE3pqamvE9OVlaWSkdfvHv3Lq88VK1aFY0bN1bZZ6sKVSCI3ExMTHDgwAEYGxsDEM/qvHfvXoFT5ezEiRM4dOgQAHHHaW2aTZsQQiSKFSvGh4aMj49X2XDbBw4c4E1ZGzVqpFWjyxDtMXLkSD662q5du/Ds2TOVfK5k2HhAfDFTmzpPS1AFguRL9erVZTpRDxkyBM+fPxcwUXZxcXEYMWIEX16xYgWKFSsmYCJCCFEe6bbeS5Ys4UNWK0taWhr++OMPvjx9+nSlfh4hBWVubs4HUsnMzJT5f6ssr169wp49ewAARYsW1dp5UagCQfKtf//+6N27NwDg27dv6NixI28qJDTGGIYPH46IiAgAQIsWLdCjRw+BUxFCiPJUr14dbdq0AQC8f/8eO3fuVOrnbd68mXfYbty4MTUPJWrt999/5x2YDx06hFu3bin18xYvXozMzEwA4sq9qampUj9PKFSBIPkmEomwbt06VKlSBQDw33//oWvXrsjIyBA4GbBz507erMrS0hIbN27UyluHhBAiTfouwMKFC5U2sdzXr18xe/Zsmc+icyxRZ6amppg5cyZfHjduHJQ1ftD79+/5zPDm5uYYPXq0Uj5HHVAFghSImZkZjh8/ztsWnj17FqNHj1baH6U8Hj58iOHDh/PlTZs20YzThBCdULduXT7Ky4sXL5Q2L8SsWbPw5csXAEDXrl3h4eGhlM8hRJEGDx6MChUqAACuXbvGmxgp2owZM3gTwpEjR8LKykopn6MOaBjX76jT8Hya4MqVK2jatCm/2rVs2TJBRmf6+vUratWqxW+rDxgwQGZ8eEK0HZ27VEddv+sbN26gXr16AIDixYvjxYsXMDc3V9j+Q0ND4ebmhszMTJiYmODJkyd8HgpC1N3p06fRsmVLAICtrS2ePXum0L/fBw8eoGbNmmCMoUiRInj58iW/yKouaBhXojYaNWokc6Vr3LhxCAgIUGmGtLQ0+Pr68sqDm5ubRs2WTQghilC3bl106dIFAPD582f4+/srbN8ZGRkYOHAgb9s9ffp0qjwQjfLLL7+gffv2AIDIyEhMnDhRYftmjGHChAm8Fcb06dPVrvKgaFSBID+tT58+mDFjBl8eMmSIyioRWVlZGDx4MC5evAhAPKTh4cOH+VCzhBCiS/z9/WFoaAhAPCLTw4cPFbLfxYsXIyQkBABQuXJlPrINIZpkxYoVvFPzpk2bcO7cOYXsd/fu3Th//jwAwN7eHqNGjVLIftUZVSCIQvj5+WHChAl8eciQIdi0aZNSP5MxhlGjRmHHjh0AgMKFC+PEiRNwcHBQ6ucSQoi6cnJywpQpUwCI7xoMHjyY3zUoqFu3bvGO03p6eti+fTufvI4QTeLg4IAlS5bw5X79+uHz588/tc8vX77g999/58urVq3Sib8PqkAQhRCJRFi8eLFMJWLo0KGYP3++UjpWZ2ZmYvjw4Vi/fj0AcaG2e/du3v6XEEJ01bRp01CpUiUAwM2bNzFnzpwC7ysqKgqdO3fm/dwmTZqE2rVrKyQnIUIYOnQoH3Dgw4cP6N69e4Er2VlZWejXrx+io6MBiAcWaNeuncKyqjOqQBCFyakS8ccff6B3795ITExU2OckJiaiS5cu2LhxI//cnTt3olOnTgr7DEII0VSFCxfGX3/9BT09cRE/d+5cnD59Ot/7SUlJQefOnREeHg4A8PT0/KnKCCHqQE9PD7t27YKtrS0A4OLFixgzZkyBLnb6+/vj77//BiBuQr1y5UqFZlVnGlWBCAsLQ/369eHt7Z3j60WKFIG3t7fM48SJE6oNqeMklYiFCxfydbt370bt2rVx9+7dn97/s2fPUKdOHRw9ehQAYGBggF27dtFkcYQQIsXT0xMLFiwAIG7u2bVrV96HQR7p6eno1q0bLl++DEA8qtOBAwd4/wpCNJmtrS0OHDgAfX19AMDatWvh5+eXr33s3LmTz2wtEomwd+9eXinRCUxD7Nixg9WtW5d5enoyLy+vHLfJbX1+xMXFMQAsLi7up/el6w4dOsTMzMwYAAaA6evrs4kTJ7KvX7/me1+pqals8eLFrHDhwnx/5ubm7MyZM0pITojmoXOX6mjKd52Zmcnat2/Pz5lFixZlN27c+OH74uLiWNOmTfn7zMzM2O3bt1WQmBDV2r59O/9/DoCNGTOGZWRk/PB9O3bsYHp6evx9c+fOVUHan6fIc5fG3IGwtrbG5cuXUb58eaGjEDn5+voiJCQELi4uAMT9FpYsWQInJyfMmTMHnz59+uE+kpKS8Ndff6FKlSqYNGkSUlJSAADOzs64ffs2mjdvrtRjIIQQTaWnp4c9e/agUaNGAICYmBg0atQIa9asybXNd3BwMGrVqsVHlDEyMsLRo0dRq1YtleUmRFX69OmDZcuW8eWVK1eiSZMmePHiRY7bf/v2DWPGjEGfPn2QlZUFQDxhnPRM8LpC4yaS69evH968eYOgoKBsr3l7e+e4Pj/UdYIgTZaWloaFCxdi/vz5fIZGANDX14eXlxd8fHzg6uoKW1tb6Onp4evXr3j27BkuX76M06dPIy4ujr9HJBLh999/x9y5c/lQbIQQOnepkqZ91/Hx8Wjbti2uXLnC11WtWhUDBgxA3bp1UahQITx+/Bh79uyRGdayaNGiOH78OBo0aCBEbEJUZsuWLRgyZAivWBsaGqJr165o3749nJyc8PXrVwQFBWHTpk0yFz+HDh2KdevW8f5G6k6R5y6tqkBUrlwZLi4u+PjxIwoVKoTOnTtjyJAhef7DpqamIjU1lS/Hx8fDzs5OYwoGTfLmzRv88ccf2Lt3L6+550ezZs2wYMECuhJGSA407UetJtPE7zotLQ0TJkzA6tWr5dq+Xr162L59OypUqKDkZISoh6CgIPTr1w9v37794baGhoZYtWoVhg4dCpFIpIJ0ikEzUeeifPnyWLBgAa5cuYKNGzdi0aJFmDx5cp7v8ff3h6WlJX/Y2dmpKK3ucXBwwK5du/Dq1StMnToVTk5OP3yPpaUl+vXrh3///Rdnz56lygMhhBRAoUKFsGrVKly5ciXP4a4dHR2xbt06BAcHU+WB6BRvb288evQI06ZNy3MW6S5duuDx48cYNmyYRlUeFE3QOxBTpkzBokWL8tzmyZMnqFy5Ml/O6w7E99auXYsxY8YgISEh15mJ6Q6EcBhjCAsLw+3bt/H8+XN8+fIFAGBqaory5cujRo0a8PDwgIGBgcBJCVF/mnhVXFNp+nfNGMOzZ89w+vRpvH37FsnJyXB0dISHhwcaNWrER6YhRFclJyfj3LlzuHv3LiIjI2FmZoYqVaqgZcuWKFWqlNDxCkyR5y5Bf5lNmzbth9N9/8yQWE5OTsjMzMTbt29lKiHSjIyMYGRkVODPIAUnEolQsWJFVKxYUegohBCiM0QiESpXrpxruUiIrjM2Nka7du10ZlK4ghC0AmFhYaGwqzcXLlxAYmKizD92REQERCIRypQpo5DPIIQQQgghRNdpTR+I8PBwLFmyBElJSQDEw9WtXLkSffr0gZmZmcDpCCGEEEII0Q4a07j8xIkTWLZsGZ4+fYqUlBR4e3ujd+/eGDhwIACgSZMmuHv3Lnx8fFC4cGF8+/YNrVu3xowZMwROTgghhBBCiPbQuGFclU3TO8cRQnQTnbtUh75rQogmomFcCSGEEEIIIYKgCgQhhBBCCCFEblSBIIQQQgghhMhNYzpRq4qkS0h8fLzASQghRH6ScxZ1a1M+KicIIZpIkeUEVSC+Ex0dDQCws7MTOAkhhORfdHQ0LC0thY6h1aicIIRoMkWUE1SB+E7RokUBAO/evdPoQjg+Ph52dnYIDw/X+FFCtOVYtOU4AO05Fm05DgCIi4tD2bJl+TmMKA+VE+pHW45FW44D0J5j0ZbjABRbTlAF4jt6euJuIZaWlhr/HwVQ7GzfQtOWY9GW4wC051i05TiA/53DiPJQOaG+tOVYtOU4AO05Fm05DkAx5QSVNIQQQgghhBC5UQWCEEIIIYQQIjeqQHzHyMgIs2bNgpGRkdBRfoq2HAegPceiLccBaM+xaMtxANp1LOpOW75rbTkOQHuORVuOA9CeY9GW4wAUeywiRmP+EUIIIYQQQuREdyAIIYQQQgghcqMKBCGEEEIIIURuVIEghBBCCCGEyI0qEP/v1atX6NChAxo2bIgaNWpgyJAhSExMlNkmIiICbdq0gaenJ9zc3LBhwwaB0v7Yvn374O3tDS8vLzg5OeHXX3+VeV0TjiU1NRUzZsxAgwYN0KRJE9SsWRMdOnTAixcvZLbThGMBgKNHj8LDwwMNGzaEl5cXHj9+LHSkPB0/fhwtW7ZEkyZN0KBBA7i5uWHv3r0y2zDGMGfOHLi5uaF27dro1asX4uLiBEqct1evXsHX1xc+Pj5wdnZG3bp1ERISAkCzjiMtLQ1+fn6oW7cu6tWrhwYNGvDjADTrWDSRNpUVVE6oHyonhKcNZYVKyglGWEJCArO3t2czZ85kjDGWnp7OWrduzXr27Mm3yczMZK6urmzevHmMMcY+f/7MSpQowQ4fPixI5rzs2rWL1a5dm8XFxTHGGHv69CkzNzfnr2vKsXz8+JGVLFmSRUZGMsbEubt06cLc3d35NppyLDdv3mTm5ubs+fPnjDHGtm/fzkqXLs3i4+MFTpa7Fi1asO3bt/PlEydOMJFIxB48eMDXLV26lNWoUYMlJSUxxhjr378/a9u2rcqz/sjnz5+Zg4MDu3z5MmNM/Dfu4+PD9u7dyxjTnONgjLFx48axatWq8f87e/fuZVZWVuzTp0+MMc06Fk2jTWUFlRPqdyxUTghPW8oKVZQTVIFg4i8WAIuJieHr/vnnHyYSidjbt28ZY4wdP36cGRoasoSEBL7NxIkTmZubm8rz5iU9PZ3Z2tqyM2fOyKyX/DEwpjnHkpqayu7evSuzbtWqVczS0pIva8qxdOzYkXXr1o0vZ2ZmshIlSrBVq1YJmCpvISEhLD09nS/Hx8czAOzo0aOMMcYyMjKYjY0N27BhA9/m8ePHDAALDQ1Vddw8jR8/nnXv3l1mXVhYGIuIiNCo48jMzGQmJiZs2bJlMuttbW3ZnDlzNOpYNJG2lBVUTqjnsVA5ITxtKCtUVU5QEyYA7969g6GhIaysrPi6kiVLgjGG4OBgAMCFCxdQqVIlmJmZ8W08PDxw9+5dxMbGqjxzbq5fv45Pnz6hYcOGMusbNWrEn2vKsRQqVAg1a9bkyxEREdi+fTvGjBnD12nKsVy4cAG1atXiy3p6enB3d8f58+cFTJU3d3d3GBgYAADS09Px559/omrVqmjatCkAIDQ0FF++fJE5ripVqsDU1FTtjuvIkSMyfwMAUL58eZQqVUqjjiMqKgpJSUkoUaKEzHpbW1tcuXJFo45FE2lLWUHlhHoeC5UTwtOGskJV5QRVIAA4ODggPT0dkZGRfF1ERAQA4P379wDEbeJy+scAgNevX6so6Y89evQIRYoUwdmzZ9GsWTPUr18fAwYMwIcPH/g2mnIsEhEREXBzc4OTkxNatGgBPz8//pomHEt0dDTi4+NzzKkuGfMycuRI2NjY4Pz58zhz5gwvhF+9egUAMsclEolQokQJtTquxMREvH79GpmZmejZsyc8PT3RokUL/PPPPwA05zgAwMbGBqampnj37h1fxxjDx48f8f79e406Fk2kLWUFlRPqdyxUTghPW8oKVZUTVIEA0LZtWzg4OMDPzw9ZWVlITEzE8uXLoaenh8zMTABAUlJStpn7JMtJSUkqz5yb2NhYxMfHY8OGDThx4gSCg4MhEonQqFEjpKSkANCcY5EoXbo07t69i5cvX+L06dMYPHgwf00TjkWSI6ec6pIxL2vXrkVUVBS8vb3h6emJjx8/AtCc4/r69SsAYMaMGZg0aRKuXbuGSZMmoW3btjh37pzGHAcgPsmPGjUKmzZt4j9c169fj5iYGGRmZmrUsWgibSkrqJxQv2PR9L9dTS8nAO0pK1RVTmh1BWLKlCkQiUR5Pp4+fQpjY2MEBwcjKSkJnp6e6NixI8aNGwc9PT1+q9rExASpqaky+5csm5iYqM2x6OvrIzMzE5MmTYKxsTH09fUxd+5cvHz5EoGBgRp1LN8rXbo0Fi5ciM2bN/ORKYQ+FnlIcuSUU10y/oiBgQHmzp2LrKwsLFu2DIDmHJe+vj4A8Y8/FxcXAECTJk3QuHFjrFy5UmOOQ2L+/PkYPnw4fv31VzRs2BAfPnxA9+7dYWVlpXHHoi60paygcoLKCSFpcjkBaFdZoYpywkChidXMtGnTMGrUqDy3kdzGLFOmDLZv387XR0VFISMjA9WrVwcAODo64uLFizLvldzGLleunCJj50jeYylTpgwA8UlUolSpUjAwMOC3pjTlWCRX9CR/1ABQuXJlAMB///0HZ2dnwY9FHtbW1rC0tMSnT59k1kdGRsLR0VGgVD+WlpaGQoUK8WU9PT1UrFgR//33HwDw7J8+feL/7yTL6nRcNjY2MDIykvmbAAB7e3tcv35dY45DQl9fHxMnTsTEiRP5ujZt2qB69eoadyzqQlvKCionxKicUB1tKScA7SorVFFOaPUdCAsLC5QpUybPh6TzT1BQkMx7r1y5glKlSqFevXoAxLXQZ8+e4du3b3ybkJAQuLu7y3SoE/pYJJ1/JLcPASAmJgYZGRkoW7asRh3Lzp07sXz5cpn3So6rVKlSanEs8mrcuDHu3LnDlxljuHv3Lu9opo7c3Nyyrfv48SP/7mvUqAEbGxuZ43ry5AkSExPV6rj09fVlbqlLfPr0CWXLltWY45AIDQ1FTEwMX05PT8eNGzfQuXNnjTsWdaEtZQWVE5A5LionlE9byglAu8oKlZQTChgxSitYWVmxsLAwxhhjsbGxzNXVlY/7y5h4KDJXV1e2YMECxhhjX758Yba2tmo3jjRjjPXo0YN17tyZZWZmMsYY++OPP5i9vT379u0bY0xzjmXr1q2sSpUq7MuXL4wxxpKTk1mbNm1YtWrVWGpqKmNMc47l5s2bzMLCgv8f27lzp9qP7y0SiVhgYCBf3rlzJ9PT02PBwcF83dKlS5mLiwsfS3rgwIFqOSb2mTNnmJWVFR9q8/Hjx8zIyIidPHmSMaY5x8EYYyNHjmR+fn58eebMmeyXX37hy5p0LJpIW8oKKifU71ionBCetpQVqignqALx/7p168YcHR1Zo0aNWMOGDdm+ffuybRMeHs5at27N6tevz2rWrMnWrVsnQNIf+/btGxs8eDCrUaMGa9CgAWvXrh178eKFzDaacCzv3r1jo0ePZq6urqxhw4asZs2arFevXuzdu3cy22nCsTDG2JEjR5i7uztr0KABa9SoEXv06JHQkfK0atUqVq9ePebp6cnq1avH6tevL1NQMMZYVlYW8/PzYzVr1mQeHh6sR48eLDY2VpjAP7Bz507m6urKGjRowOrWrSvzN65Jx7Fjxw5WuXJlVrt2bebp6cl+++03/qOPMc06Fk2kLWUFlRPqdyyMUTmhDrShrFBFOSFijDFF3jYhhBBCCCGEaC+t7gNBCCGEEEIIUSyqQBBCCCGEEELkRhUIQgghhBBCiNyoAkEIIYQQQgiRG1UgCCGEEEIIIXKjCgQhhBBCCCFEblSBIIQQQgghhMiNKhCEEEIIIYQQuVEFgmiEW7duwdvbGyKRCJUrV8asWbMKvK8VK1bg/v37MuuOHDkCNze3H25XEG3atEGRIkUwe/bsn9qPSCSCq6srvL298eXLF6V+1veWLFkCb29vpeybEEIUgcoJKieI6lAFgmiE2rVrIygoCAAwZcoU+Pn5FXhfOZ3wixYtiooVK/5wu4IIDAyEq6vrT+8HEGcKCgqCjY2N0j9L2sSJExEUFKSUfRNCiCJQOSFG5QRRBQOhAxCiDry9veHt7S10DEIIIWqKyglC/ofuQBCtcv/+fbRq1QoNGzZEgwYN0LFjR7x//56/3rx5c0RGRmLhwoXw9vbGrFmzcPHiRdStWxcikQhv3rzJdbtt27ahcuXKcHBw4Ptr2bIlChcujG3btvF1GRkZGD16NOzt7dGkSRMsWLAgx6xLliyBq6srvLy84OXlheDg4Hwfr6I+KyAgAI6OjvD09ETPnj0xevRoFClSBG3atMl3JkIIUWdUTlA5QRSAEaJBALCtW7fm+vrq1avZhAkT+PKcOXOYj4+PzDb29vbZ9vH69WsGgL1+/TrP7bZu3crs7e3z3J+/vz9zcHBgUVFRjDHGDhw4wExMTNisWbP4Nhs3bmSVKlVisbGxjDHGrl27xgoXLszevHmT67EBYJcuXZJZp4jPun79OtPX12c3b95kjDH24sULVqRIEebl5ZUtg5eXl8y+CSFE3VA5cUlmHZUTRBnoDgTRKj169JDpONe1a1cEBQUhOTlZZRlWrVqFPn36wNraGgDQpUsXFC1aVGab+fPnY9CgQShSpAgAoH79+ihfvjw2b96s8s9avXo1PD09Ubt2bQCAk5MTXVEihGgtKieonCA/j/pAEK3CGMOMGTNw69YtGBgYIDU1FYwxfP78Gfb29kr//Li4OHz8+BGOjo4y68uWLcufJyQk4N27d9i6dSsCAwP5+vT0dCQkJKj8s548eZKt01vZsmURHh4udxZCCNEUVE5QOUF+HlUgiFbp06cPYmJicPbsWZibm+PNmzcoV64cGGMK2b9IJMq2LjMzs0DvmzBhAvr376+QXIr+rJz2QQgh2oDKCSonyM+jJkxEK3Tr1g0AcOXKFbRq1Qrm5uYAgLS0tGzb6un97799XldyctrO3Nxc5j3p6en4/PkzX7a0tETJkiXx6tUrmX29e/eOPzc3N0fZsmXx7NkzmW3279+Pw4cP536Q31HUZ1WpUiXPfRBCiDagcqLgn0XlBPkeVSCIVrhx4wYAoGrVqrh8+TIyMjIAIMcTrY2NDWJjY5GRkZHneNU5befi4oLY2Fh+ot29e7dMAQIAv/32G3bs2IHo6Gie4ePHjzLbTJ8+Hdu3b+cn4C9fvsDPzw/VqlXL13Er4rNGjx6Na9eu4datWwCA169f4/z58/nKQQgh6o7KCSoniAIJ2YObEHn9+++/rE6dOgwAc3R0ZHXq1JF5SEa8ePToEfP09GSVKlVi7du3Z5MmTWIAWJ06dVhoaChjjLGDBw+yihUrsjp16rDVq1ezCxcu8H3XqVOHBQcH57idxLx581j58uVZ8+bN2ebNm5m9vT2rVKkS3yY9PZ2NHj2a2dnZMR8fHzZlyhTWqFEjZm9vz6ZPn873s3TpUlalShXWoEED5uXlxc6cOZPnd4AcRtdQ1GcFBASwcuXKMU9PTzZw4EA2btw41rRp02wZaHQNQoi6onKCygmiOiLGFNTojxCiVCKRCJcuXVL4REbp6elISkqCpaUlXzdkyBAwxhAQECCzrWQipdmzZys0AyGEkJ9H5QRRFWrCRIiGsLe3x5QpU+Dt7Y0vX74obL/Pnj2Dr68v7+QXERGBY8eOoVevXnybJUuWwNvbG5GRkXyYP0IIIeqFygmiKnQHghAdFx0djZEjR+Lly5cwMTFBamoqRo8ejZ49ewodjRBCiBqgcoJ8jyoQhBBCCCGEELlREyZCCCGEEEKI3KgCQQghhBBCCJEbVSAIIYQQQgghcqMKBCGEEEIIIURuVIEghBBCCCGEyI0qEIQQQgghhBC5UQWCEEIIIYQQIjeqQBBCCCGEEELk9n+aoUFHpTsckwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=[9,3])\n", "\n", "ax1 = plt.subplot(121)\n", "ax1.plot(np.rad2deg(np.pi/2-grid_sft['colatitude']),mf_[::-1,180],color='k',label='Meridional flow',lw=2)\n", "ax1.set_xlabel('Latitude [deg]')\n", "ax1.set_ylabel('Velocity [m/s]')\n", "ax1.set_title('Meridional flow')\n", "ax1.set_xlim([-90,90])\n", "ax1.set_xticks(np.arange(-90,91,30))\n", "\n", "ax2 = plt.subplot(122)\n", "ax2.plot(np.rad2deg(np.pi/2-grid_sft['colatitude']),dr_[:,180]*np.sin(grid_sft['colatitude'])*solar_radius,c='k',label='Differential rotation',lw=2)\n", "ax2.set_xlabel('Latitude [deg]')\n", "ax2.set_ylabel('Velocity [m/s]')\n", "ax2.set_title('Differential rotation')\n", "ax2.set_xlim([-90,90])\n", "ax2.set_xticks(np.arange(-90,91,30))\n", "\n", "plt.subplots_adjust(wspace=0.3)\n", "\n", "# plt.savefig('./docs/flows.png',dpi=300)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Simulating flux transport process\n", "- Evolution of surface magnetic flux distribution is driven by flows and diffusion only.\n", "- Here we show the dynamics over 1 year." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Simulation days: 100%|██████████| 365/365 [03:56<00:00, 1.54it/s]\n" ] } ], "source": [ "num_days = 1*365 # Example total time steps\n", "num_theta = grid_sft['colatitude'].size\n", "num_phi = grid_sft['longitude'].size\n", "bfly_data = np.zeros((num_days+1,num_theta))\n", "all_br_data = np.zeros((num_days+1,num_theta,num_phi))\n", "all_br_data[0,:,:] = -1*5*field.copy()/np.max(field.copy())\n", "bfly_data[0,:] = np.mean(field,axis=1)\n", "\n", "B_temp = -1*5*field.copy()/np.max(field.copy())\n", "B_temp_update = np.zeros_like(field)\n", "\n", "# Time loop for evolution\n", "for t in tqdm(range(1,num_days+1),desc='Simulation days: '):\n", " delta_t = ts\n", " for steps in range(ndt):\n", " # Calculate the diffusion term\n", " B_temp_diff = calculate_diffusion(B_temp, diffusivity, grid_sft.copy())\n", " # Calculate the advection term\n", " B_temp_adv = calculate_advection(B_temp, dr_, mf_, grid_sft.copy())\n", " \n", " # Update magnetic field using all terms\n", " B_temp_update[1:-1, 1:-1] = B_temp[1:-1, 1:-1] + delta_t * (1.0*B_temp_diff - 1.0*B_temp_adv)\n", "\n", " # Apply periodic boundary conditions in the phi direction\n", " B_temp_update[:, 0] = B_temp_update[:, -2] # First column matches second-to-last column\n", " B_temp_update[:, -1] = B_temp_update[:, 1] # Last column matches second column\n", "\n", " # Apply open boundary conditions in the theta direction\n", " B_temp_update[0, :] = B_temp_update[1, :] # Northern boundary (pole)\n", " B_temp_update[-1, :] = B_temp_update[-2, :] # Southern boundary (pole)\n", " B_temp = B_temp_update.copy()\n", " # Save the butterfly diagram\n", " bfly_data[t,:] = np.mean(B_temp,axis=1)\n", " all_br_data[t,:,:] = B_temp.copy()\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Some derived quantities for visualization" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "usflx = calculate_usflx(all_br_data, grid_sft.copy(), [0,num_days])\n", "dm_sft = calculate_dm(all_br_data, grid_sft.copy(), [0,num_days])\n", "polar_n, polar_s = calculate_polar_field(all_br_data, grid_sft.copy(), [0,num_days])\n", "polar_fln, polar_fls = calculate_polar_flux(all_br_data, grid_sft.copy(), [0,num_days])" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 3, figsize=(14, 6))\n", "ax = ax.flatten()\n", "ax[0].plot(np.arange(num_days+1),usflx)\n", "ax[0].set_xlabel('Time [days]')\n", "ax[0].set_ylabel('Total unsigned flux [Mx]')\n", "ax[0].set_title('Total unsigned flux')\n", "\n", "ax[1].plot(np.arange(num_days+1),polar_fln,label='North pole')\n", "ax[1].plot(np.arange(num_days+1),polar_fls,label='South pole')\n", "ax[1].set_xlabel('Time [days]')\n", "ax[1].set_ylabel('Flux [Mx]')\n", "ax[1].set_title('Polar flux')\n", "ax[1].legend()\n", "\n", "ax[2].plot(np.arange(num_days+1),polar_n,label='North pole')\n", "ax[2].plot(np.arange(num_days+1),polar_s,label='South pole')\n", "ax[2].set_xlabel('Time [days]')\n", "ax[2].set_ylabel('Field [G]')\n", "ax[2].set_title('Polar field')\n", "ax[2].legend()\n", "\n", "ax[3].plot(np.arange(num_days+1),dm_sft,label='North pole')\n", "ax[3].set_xlabel('Time [days]')\n", "ax[3].set_ylabel('DM')\n", "ax[3].set_title('Dipole moment')\n", "\n", "pm1 = ax[4].pcolormesh(np.arange(num_days+1),np.degrees(np.pi/2-colatitude),bfly_data.T,cmap='bwr',vmin=-5,vmax=5)\n", "plt.colorbar(pm1, label='Br [G]',ticks=np.arange(-5,5.1,2))\n", "ax[4].set_yticks(np.arange(-90,91,45))\n", "ax[4].set_title('Butterfly diagram (Br)')\n", "ax[4].set_xlabel('Time [days]')\n", "ax[4].set_ylabel('Latitude [deg]')\n", "\n", "idx = 100\n", "pm2 = ax[5].pcolormesh(np.degrees(longitude),np.degrees(np.pi/2-colatitude),all_br_data[idx,:,:],cmap='bwr',vmin=-5,vmax=5)\n", "plt.colorbar(pm2, label='Br [G]',ticks=np.arange(-5,5.1,2))\n", "ax[5].set_yticks(np.arange(-90,91,45))\n", "ax[5].set_xticks(np.arange(0,361,90))\n", "ax[5].set_title(f'Br on day {idx:03d}')\n", "ax[5].set_xlabel('Longitude [deg]')\n", "ax[5].set_ylabel('Latitude [deg]')\n", "\n", "plt.subplots_adjust(hspace=0.7,wspace=0.3)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Bipolar Magnetic Region (BMR) modelling\n", "- BMRs or Active regions (ARs) are often observed on the surface of the star. Transport of this emerged flux has to be incorporated into SFT model as source terms.\n", "- There can be different ways to model a BMR. Or one can choose to directly assimilate magnetic field distribution from observations for the Sun." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def inject_bipole_flux_normalized(theta, phi, lat, lon, flux_Mx, tilt_deg, sep_deg,\n", " sigma_deg=4.0, Rsun_cm=6.96e10, apply_hale=True):\n", " \"\"\"\n", " Injects a bipole with correct Joy's law tilt: defined as angle from local E-W (latitude) line.\n", " \"\"\"\n", "\n", " import numpy as np\n", "\n", " # --- Mesh and area elements ---\n", " theta_2d, phi_2d = np.meshgrid(theta, phi, indexing='ij')\n", " dtheta = theta[1] - theta[0]\n", " dphi = phi[1] - phi[0]\n", " dA = Rsun_cm**2 * np.sin(theta_2d) * dtheta * dphi\n", "\n", " # --- Convert center location ---\n", " lat_rad = np.radians(lat)\n", " lon_rad = np.radians(lon) % (2*np.pi)\n", " colat_rad = np.radians(90 - lat)\n", "\n", " # --- Tilt angle and separation ---\n", " tilt_rad = np.radians(tilt_deg)\n", " sep_rad = np.radians(sep_deg / 2)\n", " sigma_rad = np.radians(sigma_deg)\n", "\n", " # --- Unit vector at center (on unit sphere) ---\n", " x0 = np.cos(lat_rad) * np.cos(lon_rad)\n", " y0 = np.cos(lat_rad) * np.sin(lon_rad)\n", " z0 = np.sin(lat_rad)\n", " r0 = np.array([x0, y0, z0])\n", "\n", " # --- Define local tangent basis vectors at r0 ---\n", " # e_phi: east direction\n", " e_phi = np.array([-np.sin(lon_rad), np.cos(lon_rad), 0.0])\n", " # e_theta: south direction (increasing theta)\n", " e_theta = np.array([\n", " -np.sin(lat_rad)*np.cos(lon_rad),\n", " -np.sin(lat_rad)*np.sin(lon_rad),\n", " np.cos(lat_rad)\n", " ])\n", " # e_lat: north direction (decreasing theta)\n", " e_lat = -e_theta\n", "\n", " # --- Separation vector in tangent plane ---\n", " # Tilt is measured from e_phi (east) toward north (positive lat direction)\n", " # So: sep_vec = cos(tilt) * east + sin(tilt) * north\n", " sep_vec = np.cos(tilt_rad) * e_phi + np.sin(tilt_rad) * e_lat\n", "\n", " # --- Polarity centers on sphere ---\n", " lead_vec = r0 + sep_rad * sep_vec\n", " foll_vec = r0 - sep_rad * sep_vec\n", "\n", " def vec_to_sph(v):\n", " \"\"\"Convert 3D vector to (theta, phi)\"\"\"\n", " r = np.linalg.norm(v)\n", " theta = np.arccos(v[2] / r) # colatitude\n", " phi = np.arctan2(v[1], v[0]) % (2*np.pi)\n", " return theta, phi\n", "\n", " th_lead, ph_lead = vec_to_sph(lead_vec)\n", " th_foll, ph_foll = vec_to_sph(foll_vec)\n", "\n", " # --- Determine polarity signs from Hale's Law ---\n", " if apply_hale:\n", " if lat >= 0: # Northern hemisphere\n", " sign_lead = +1\n", " sign_foll = -1\n", " else:\n", " sign_lead = -1\n", " sign_foll = +1\n", " else:\n", " sign_lead = +1\n", " sign_foll = -1\n", "\n", " # --- Angular distance handling ---\n", " def phi_dist(p1, p2):\n", " return np.minimum(np.abs(p1 - p2), 2*np.pi - np.abs(p1 - p2))\n", "\n", " def gaussian(th_c, ph_c, sign):\n", " dth2 = (theta_2d - th_c)**2\n", " dph2 = phi_dist(phi_2d, ph_c)**2\n", " return sign * np.exp(- (dth2 + dph2) / (2 * sigma_rad**2))\n", "\n", " # --- Compute raw B field pattern ---\n", " B_unit = (\n", " gaussian(th_lead, ph_lead, sign_lead) +\n", " gaussian(th_foll, ph_foll, sign_foll)\n", " )\n", "\n", " flux_unit = np.sum(np.abs(B_unit) * dA)\n", " scale = flux_Mx / flux_unit\n", " B_scaled = scale * B_unit\n", " return B_scaled\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Load BMR property for a solar cycle for a test run\n", "- This is a test run to check the performance of SFT simulation.\n", "- We are not caliberating the SFT obtained fluxes to the observations here. This can be done by changing initial condition, BMR properties, flow parameters." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "sc14 = np.loadtxt('/data/sdash/SFT2D/test_data/SC_14.txt')\n", "sc15 = np.loadtxt('/data/sdash/SFT2D/test_data/SC_15.txt')\n", "\n", "sc14_df = pd.DataFrame(sc14, columns=['Phase', 'Latitude', 'Tilt', 'Radius', 'Longitude', 'USFLUX'])\n", "sc15_df = pd.DataFrame(sc15[1:,], columns=['Phase', 'Latitude', 'Tilt', 'Radius', 'Longitude', 'USFLUX'])" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Simulation days: 100%|██████████| 3360/3360 [37:09<00:00, 1.51it/s]\n" ] } ], "source": [ "# initial_field = sc14_all_br[-1,:,:]\n", "\n", "num_days = int(120*28) # Example total time steps\n", "num_theta = grid_sft['colatitude'].size\n", "num_phi = grid_sft['longitude'].size\n", "bfly_data = np.zeros((num_days+1,num_theta))\n", "all_br_data = np.zeros((num_days+1,num_theta,num_phi))\n", "# all_br_data[0,:,:] = initial_field #-1*10*field.copy()/np.max(field.copy())\n", "all_br_data[0,:,:] = -1*10*field.copy()/np.max(field.copy())\n", "bfly_data[0,:] = np.mean(field,axis=1)\n", "\n", "# B_temp = initial_field #-1*10*field.copy()/np.max(field.copy())\n", "B_temp = -1*10*field.copy()/np.max(field.copy())\n", "B_temp_update = np.zeros_like(field)\n", "\n", "n_cr = 1.0\n", "\n", "# Time loop for evolution\n", "for t in tqdm(range(1,num_days+1),desc='Simulation days: '):\n", " delta_t = ts\n", " # Add the sunspots from sc14_df dataframe when the time step divisble by 28 is equal to the current phase.\n", " if t % 28 == 0:\n", " n_cr = t // 28\n", " for index, row in sc14_df[sc14_df['Phase'] == n_cr].iterrows():\n", " Br_spot = inject_bipole_flux_normalized(grid_sft.copy()['colatitude'], grid_sft.copy()['longitude'],\n", " lat=row['Latitude'], lon=row['Longitude'],flux_Mx=-1.0*float(row['USFLUX'])*1e16, \n", " tilt_deg=float(row['Tilt']), sep_deg=1.0*float(row['Radius']), sigma_deg=2.0, apply_hale=True)\n", " B_temp += Br_spot\n", " for steps in range(ndt):\n", " # Calculate the diffusion term\n", " B_temp_diff = calculate_diffusion(B_temp, diffusivity, grid_sft.copy())\n", " # Calculate the advection term\n", " B_temp_adv = calculate_advection(B_temp, dr_, mf_, grid_sft.copy())\n", " \n", " # Update magnetic field using all terms\n", " B_temp_update[1:-1, 1:-1] = B_temp[1:-1, 1:-1] + delta_t * (1.0*B_temp_diff - 1.0*B_temp_adv)\n", "\n", " # Apply periodic boundary conditions in the phi direction\n", " B_temp_update[:, 0] = B_temp_update[:, -2] # First column matches second-to-last column\n", " B_temp_update[:, -1] = B_temp_update[:, 1] # Last column matches second column\n", "\n", " # Apply open boundary conditions in the theta direction\n", " B_temp_update[0, :] = B_temp_update[1, :] # Northern boundary (pole)\n", " B_temp_update[-1, :] = B_temp_update[-2, :] # Southern boundary (pole)\n", " B_temp = B_temp_update.copy()\n", " # Save the butterfly diagram\n", " bfly_data[t,:] = np.mean(B_temp,axis=1)\n", " all_br_data[t,:,:] = B_temp.copy()\n", " " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compute and plot the solar cycle parameters" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "usflx = calculate_usflx(all_br_data, grid_sft.copy(), [0,num_days])\n", "dm_sft = calculate_dm(all_br_data, grid_sft.copy(), [0,num_days])\n", "polar_n, polar_s = calculate_polar_field(all_br_data, grid_sft.copy(), [0,num_days])\n", "polar_fln, polar_fls = calculate_polar_flux(all_br_data, grid_sft.copy(), [0,num_days])" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(2, 3, figsize=(14, 6))\n", "ax = ax.flatten()\n", "ax[0].plot(np.arange(num_days+1),usflx)\n", "ax[0].set_xlabel('Time [days]')\n", "ax[0].set_ylabel('Total unsigned flux [Mx]')\n", "ax[0].set_title('Total unsigned flux')\n", "\n", "ax[1].plot(np.arange(num_days+1),polar_fln,label='North pole')\n", "ax[1].plot(np.arange(num_days+1),polar_fls,label='South pole')\n", "ax[1].set_xlabel('Time [days]')\n", "ax[1].set_ylabel('Flux [Mx]')\n", "ax[1].set_title('Polar flux')\n", "ax[1].legend()\n", "\n", "ax[2].plot(np.arange(num_days+1),polar_n,label='North pole')\n", "ax[2].plot(np.arange(num_days+1),polar_s,label='South pole')\n", "ax[2].set_xlabel('Time [days]')\n", "ax[2].set_ylabel('Field [G]')\n", "ax[2].set_title('Polar field')\n", "ax[2].legend()\n", "\n", "ax[3].plot(np.arange(num_days+1),dm_sft,label='North pole')\n", "ax[3].set_xlabel('Time [days]')\n", "ax[3].set_ylabel('DM')\n", "ax[3].set_title('Dipole moment')\n", "\n", "pm1 = ax[4].pcolormesh(np.arange(num_days+1),np.degrees(np.pi/2-colatitude),bfly_data.T,cmap='bwr',vmin=-5,vmax=5)\n", "plt.colorbar(pm1, label='Br [G]',ticks=np.arange(-5,5.1,2))\n", "ax[4].set_yticks(np.arange(-90,91,45))\n", "ax[4].set_title('Butterfly diagram (Br)')\n", "ax[4].set_xlabel('Time [days]')\n", "ax[4].set_ylabel('Latitude [deg]')\n", "\n", "idx = 100\n", "pm2 = ax[5].pcolormesh(np.degrees(longitude),np.degrees(np.pi/2-colatitude),all_br_data[idx,:,:],cmap='bwr',vmin=-5,vmax=5)\n", "plt.colorbar(pm2, label='Br [G]',ticks=np.arange(-5,5.1,2))\n", "ax[5].set_yticks(np.arange(-90,91,45))\n", "ax[5].set_xticks(np.arange(0,361,90))\n", "ax[5].set_title(f'Br on day {idx:03d}')\n", "ax[5].set_xlabel('Longitude [deg]')\n", "ax[5].set_ylabel('Latitude [deg]')\n", "\n", "plt.subplots_adjust(hspace=0.7,wspace=0.3)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Visualization of a sinlge BMR" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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1K1fPnj3x7bffomHDhvjjjz8AVN/PkZubGwDg33//1SrXTAyraRWu7Fyee+45WFpaIj4+Xqs8Pj4eDg4OZv/eEj0IJltksM2bN+PEiRMYOnQoPDw8qqxvb2+P+fPnS2ON4uLi8Pvvv2Px4sVSd110dDQcHBwwe/Zs6ZbwPXv2YO/evXj33Xd1zt0TFhaG4cOHY/HixdIYleLiYixYsADJycnlxl2Z0ssvv4xu3bph4cKFUrfbxYsXsWLFCrz44ovo2bMnAKBPnz7o3bs3VqxYISUZFy5cQFxcXLl9RkdHQy6XY8aMGdJ7dvPmTbz22mto166dyWL38vLCzJkzsWnTJikJzMvLQ0REBFq3bo0ZM2aY7FhlGfIdmjp1Kn7++We89tprRh83IiICmZmZVT6qaMiQIfj555+lWfbv3LmDFStWlKvn6ekJmUwm/TExbdo0KdHW5auvvpKSsqtXr+L9999Hnz590KdPH0NPSa9YlUol1q9fj8OHD0tlCQkJyMnJkVrEquvnaPz48XB0dMSCBQukKUZyc3MRGRkJGxsbrT8otm3bhiZNmuDdd9+Vyry9vTFz5ky8//77SElJkc4lLi4OMTExJunqJjK5Gh6gT7WQUqkUAQEBws3NTetOMn9/f+Hh4SE6duwolixZIs1GfvXqVREQECDq168v6tevLwICAqTbycPDw0WLFi3Evn37RI8ePYSXl5fw9PSscKbn5ORkMXz4cNG8eXPh7e0tgoKCxJdffimtP3DggAgICBDW1tbCyclJBAQEiIKCAiGEegqGhQsXCm9vbyne//u//5PutKrMlClTRPPmzaXz3Lp1q9i6dato27atACCaN28uZsyYIZKSkrSO3blzZ2kfCoVCzJgxQ3h6egpfX1/RqlUr8fbbb5e7syozM1OMGjVKODk5iQ4dOoghQ4aIuLg4aSqAiIgIqe6FCxfEc889J5o2bSoCAwNFSEiI2Lhxo7T+vffe04px9OjRlZ5jWFiY9FkGBASIsLAwrfUffvihaNeunWjdurVo3ry5GD9+vNYdd++8847w9vaW4gwODtb5ngph+HdICPUt/d7e3tJ36MiRIxXu+8iRI9L3zdraWgQEBIjt27cLIdRTdmjeF83diOfOndPavmPHjtIxjh07VuExsrOzxcSJE0WTJk1EUFCQGDBggIiOjpbeg9jYWKnuwoULhYeHh/Dz8xPDhw8X9+7dq/R90dyN+L///U+MGDFCBAQECCcnJzFq1Cit7+rQoUO1PrMjR46Ir776SusznzZtmt6xKpVKER0dLYKCgkRAQIAICAgQwcHBWtOvCPHgP0cawcHB0s+J5j0eMmRIuXrJyclizJgxwtfXV/j5+QlfX18xbNgwkZCQoFXvhx9+EA0aNBCffvqpVrlKpRJLly4Vbdq0ER06dBB+fn5aPx9EtY1MiP/av4nMYOzYsTh06JDJnx1HVBdpBq4fPHiQD2omeoSwG5GIiIjIjJhsEREREZlRnUu2CgsLsWjRInTt2hXdunVDjx49pIGhgPquoLfffhtBQUHo3LkzRo0aVeHUA2RemnmivvvuO9y4cQOBgYFV3tJN9DCbOXOm1rMUo6KiajgiorqhsLAQUVFRsLKy0mtIyi+//IKuXbuiV69e6Nq1K44ePVquzkcffYTg4GCEhoZi8ODBFc5xZ1I1PGbMYLNmzRJ+fn5CoVAIIdTPBXNycpIG9K5YsUL4+/sLpVIphBBi3LhxFQ7QJCIiototJSVFdO3aVYwZM6bcc1YrcuXKFeHg4CDdYHPo0CHh4OCg9bipHTt2iMaNG4uMjAwhhBCLFi0SgYGBQqVSme086lTLVklJCTZs2IDx48dLt/eOGDECcrkcH330EVQqFZYuXao1H09ERAR2795d4XxGREREVHvl5ubis88+w7hx4/Sq/8EHH6Bdu3Z4/PHHAQC9evWCr68vVq9eLdV55513EB4eLk3kO336dPz111/Yu3ev6U/gP3Uq2bp9+zaUSqU0KZ6Gu7s7jhw5grNnzyIjIwOdOnWS1rVt2xb169fH/v37qztcIiIiMoKfnx9atWqld/34+HitHABQP5NWkwNkZWXht99+06rj6OiI1q1bmzVPqFOP63F1dUX9+vVx9epVqUwIgZs3b+LevXvS4xpKJ2MymQxubm7S5HdlFRQUaD3rrKSkBFlZWXBxcZEm3CQiIqorhBDIyclBkyZNyj1dwBzu3buHwsJCvesLIcpdX+VyOeRyudGxXL58Gc8//7xWmbu7u5QDaP6tqNGmsjzBFOpUsiWTyTB16lR8/PHHGD16NJo2bYr169cjKysLDg4OUCqVAFDuA5PL5dK6smJjY7Fo0SKzx05ERFSdUlNT0axZM7Me4969e2hZrx7SDNjG3t6+3COzFi5ciOjoaKPjUSqVOnOAB8kTTKFOJVsAsGTJEri4uODFF1+ETCZDr169MHLkSCQlJcHOzg4AtFqqNMuadWXNmTMHs2bNkpazs7Ph4eGB1NRUODg4mO9EiIiIzEChUKB58+bV8uiiwsJCpAFIlcmgzxVTAaB5bm65a6wpWrUA9fNUdeUAuvKE+vXrmySGitS5ZMvS0hKRkZGIjIyUyp566il06NABXl5eAID09HStbD49PV1aV1ZlTZcODg5MtoiIqM6qzqEwDhYWcNDneEIAKpXZrrFeXl5IT0/XKktLS5NygNJ5Qtk6/fv3N3k8GnVqgDwAnD17FllZWdJyUVERTp48ieHDh8Pf3x+urq5ISEiQ1p8/fx55eXnSw1aJiIjIxCws9H+ZUd++fbVyAAA4c+aMlAM4OTmhY8eOWnUUCgUuXLhg1jyhziVbH3/8MdasWSMtv/POOwgJCcHAgQNhaWmJqKgorFu3Dvn5+QCAFStWYMiQIfDz86upkImIiB5uNZRsvfTSSxg9erS0PH36dJw7dw7Hjh0DABw9ehRJSUmYNm2aVOett95CXFwcMjMzAQCrV6+Gn58fnnzySZPGVlqd60bs0qULYmJisHfvXlhbWyM4OBhff/21tH7mzJnIzc1FaGgorKys4OPjgy1bthh+ICHULyIiorqkJq5dFhaAvt2IBigsLMQTTzyBu3fvAlDPrdm8eXN89dVXANQD9EvfcdmiRQvs2bMHs2fPho2NDQoKCrBnzx60aNFCqvPss8/i1q1b6N+/P2xtbeHk5ITdu3eb9c5NmRDMKEpTKBRwdHRE9t27HLNFRER1jkKhgGPDhsjOzjb7dUy6Ztavr9eYLYUQcMzLq5bYapM617JFREREtYyZWrYeFky2iIiIyDhWVky2dGCyRURERMaRyfQb/F5SYv5YaiEmW0RERGScapjWoS5jskVERETGYbKlE5MtIiIiMg6TLZ2YbBEREZFxmGzpxGSLiIiIjMNkSycmW0RERGQcJls6MdkiIiIi4zDZ0onJFhERERnH0lL9qopKZf5YaiEmW0RERGQcfVu2OIM8ERER0QNgsqUTky0iIiIyDpMtnZhsERERkXGYbOnEZIuIiIiMw2RLJyZbREREZBwmWzox2SIiIiLjmDHZ2rlzJ2JiYmBrawsLCwusW7cO7du3r7BumzZt4O7urlV27do1NGnSBEeOHAEAjB07FklJSbC1tZXqtGvXDuvWrTM4Nn0x2SIiIiLjmCnZOn36NMLDw5GQkAAfHx9s2bIFAwYMwPnz59GgQYNy9d3d3XHo0CGtsuHDh6N3795aZdu3b4enp6dBsRiD070SERGRcSwtASurql/6THxaytKlSzF48GD4+PgAAEaNGoXi4mJs3ry5wvqbNm3SWs7KysLPP/+Ml1566YFOy1SYbBEREZFxNC1b+rwMEB8fj06dOpU6jAWCg4Oxf//+Cuu3bNlSa3nbtm0YNGgQnJycDD8nE2I3IhERERlH30TqvzoKhUKrWC6XQy6Xa5VlZmZCoVDAzc1Nq9zd3R2//vqrXmFt3rwZ77zzTrny2NhY/PPPPyguLkZAQAAWLFhQ7jimxJYtIiIiMo6BLVvNmzeHo6Oj9IqNjS23S6VSCQDlkjC5XC6t0+Xvv/9GWloa+vfvr1XeunVr9OzZEwcOHMDBgwdRUFCArl27Ijc390HPvkps2SIiIiLjGNiylZqaCgcHB6m4bEIFAHZ2dgCAgoICrfKCggJpnS6bN2/GmDFjYFEmrrlz55YKxwLvv/8+nJycsG3bNkycOLHqc3gATLaIiIjIOAYmWw4ODlrJVkVcXFzg6OiI9PR0rfK0tDR4eXnp3FalUuHzzz/H4cOHqwzJwcEBrq6uuHTpUpV1HxS7EYmIiMg4Zhog36dPHyQkJEjLQggkJiaiX79+Orf76aef4O3tjVatWpVbN336dK3lgoICZGZmwsPDw6DYDMFki4iIiIxjpmQrKioKe/fuxcWLFwEAn3/+OSwtLREeHg4A6NGjB+bNm1duu82bN2PcuHEV7nPDhg04c+aMtPzOO+/AyckJzz//vEGxGYLdiERERGQcmUy/REomM2i3nTt3xubNmzFixAjUq1cPFhYW2LdvnzShqVKpLDem6+7du4iPj8cnn3xS4T6XL1+OmTNnwsrKCkqlEq6urjh48CBcXV0Nis0QMiEe0QcVVUKhUMDR0RHZd+9W2Z9MRERU2ygUCjg2bIjs7GyzX8eka+aAAXCwtq66flERHPftq5bYahO2bBEREZFxNDPEV+URbd9hskVERETGMfBuxEcNky0iIiIyDpMtnZhsERERkXGYbOnEZIuIiIiMw2RLJyZbREREZBwmWzox2SIiIiLjmGmerYcFky0iIiIyDlu2dGKyRURERMZhsqUTky0iIiIyjr6TmpaUmD+WWojJFhERERmHLVs6MdkiIiIi4zDZ0onJFhERERmHyZZOTLaIiIjIOEy2dGKyRURERMbhPFs6MdkiIiIi47BlSyeDkq0DBw7g66+/xvHjx5Geno47d+7A2dkZbm5uePzxxzF8+HD07NnTXLESERFRbcRkSye9kq1bt25h3LhxSE5ORu/evfHSSy+hYcOGsLa2RlFREbKysnDx4kWMGzcOQUFB+Pjjj+Hk5GTWwNesWYNp06bh4MGDCAsLAwCMHTsWSUlJsLW1leq1a9cO69atM2ssREREjzQzJls7d+5ETEwMbG1tYWFhgXXr1qF9+/YV1o2OjsauXbvQsGFDqczZ2RnffPONtCyEwOLFi7Fr1y5YWVmhdevWWLt2LRwdHQ2OTV9VJlsqlQqjR4/Gq6++imeffVZnXSEEPv/8c4wbNw67du0yVYzl3LhxA8uWLatw3fbt2+Hp6Wm2YxMREVEZ+k5qqlIZtNvTp08jPDwcCQkJ8PHxwZYtWzBgwACcP38eDRo0qHCbVatWSY0wFVm5ciV27NiBkydPol69ehg/fjxGjx6N7777zqDYDFFlipmVlYUPP/ywykQLAGQyGUaNGoWYmBhkZ2ebJMCKTJs2DXPnzjXb/omIiMgAmpYtfV4GWLp0KQYPHgwfHx8AwKhRo1BcXIzNmzc/UJgqlQpLly7FlClTUK9ePQBAREQEdu/ejT///POB9qmPKs/a1dUVrVu3Nmin7dq1M1tz3O7du2FtbY0BAwaYZf9ERERkIDMlW/Hx8ejUqVOpw1ggODgY+/fvf6Awz549i4yMDK19tm3bFvXr13/gferD4M7TH3/8EePHj8e5c+cAAG+++SYcHR0REhKCCxcumDzA0vLy8jBv3jysXLmy0jqxsbEICwtDjx498NprryE9PV3nPgsKCqBQKLReREREZAADk62y192CgoJyu8zMzIRCoYCbm5tWubu7O1JSUioN5dNPP0VYWBhCQ0MRHh6OS5cuSesuX74MAFr7lMlkcHNz07lPYxmcbC1fvhw9e/aEt7c3Dh8+jOXLlyM2NhYvv/wypk+fbo4YJfPnz8fkyZPRuHHjCte3bt0aPXv2xIEDB3Dw4EEUFBSga9euyM3NrXSfsbGxcHR0lF7Nmzc3V/hEREQPJ808W1W9/ptnq3nz5lrX3tjY2HK7VCqVAAC5XK5VLpfLpXVleXh4oGPHjti/fz+OHj2Kli1bIjg4GNevX3/gfZqCwfNsCSEwduxYAMBnn32GoUOHYsqUKQDUdwyYS2JiIk6dOoXly5dXWqf0OC4LCwu8//77cHJywrZt2zBx4sQKt5kzZw5mzZolLSsUCiZcREREhjDwbsTU1FQ4ODhIxWWTHwCws7MDgHKtXgUFBdK6ssaPH6+1PH/+fGzYsAHr1q3DkiVLHmifpmBwsqXJ/BQKBXbs2IG4uDhpncyMM8Pu3bsX+fn56NOnDwDg3r17AIAZM2agYcOG2LhxI1q1aqW1jYODA1xdXbWaEMuSy+UVfshERESkJwOTLQcHB61kqyIuLi5wdHQsNxwoLS0NXl5eeoVlaWkJT09PKQ/QbJeeno5mzZpJ9dLT0/Xe54MwuBvRz88PvXv3Rs+ePfHYY4/hqaeewt27d7FhwwZYmHGysvnz5yMxMRGHDh3CoUOHsH37dgDqWzwPHTqEVq1alevGLCgoQGZmJjw8PMwWFxER0SPPTAPk+/Tpg4SEBGlZCIHExET069evwvoVDWe6ceOGlAf4+/vD1dVVa5/nz59HXl5epfs0BYOzozVr1mDQoEEICwvDDz/8AAsLC6mL78033zRHjHrbsGEDzpw5Iy2/8847cHJywvPPP1+DURERET3kzJRsRUVFYe/evbh48SIA4PPPP4elpSXCw8MBAD169MC8efOk+t99953WfFkbN25ERkaG1L1oaWmJqKgorFu3Dvn5+QCAFStWYMiQIfDz8zPqLdDF4G5EuVyON954Q6usT58+UvdedZgxYwZOnjwp/b9NmzbYvn07li9fjpkzZ8LKygpKpRKurq44ePAgXF1dqy02IiKiR46+k5rqU6eUzp07Y/PmzRgxYgTq1asHCwsL7Nu3T5rQVKlUao2/WrJkCVatWoX3338fhYWFkMvl2L9/P9q0aSPVmTlzJnJzcxEaGgorKytpslRzkgkhhKEbffnll1i3bh2Ki4tx7NgxLF68GJ6enhg9erQ5YqxWCoUCjo6OyL57t8r+ZCIiotpGoVDAsWFDZGdnm/06Jl0zY2LgUOpReZXWv3cPjnPnVktstYnB3YgfffQRIiIiEBAQIDXBPfvss9i5cyc++OADkwdIREREtZyZuhEfFgaf9WeffYY//vgDq1evlmaJb9++Pb788kvs2LHD5AESERFRLWfgPFuPGoPHbFlYWMDZ2RmA9lQP1tbWKCwsNF1kREREVDcYOPXDo8bgsy4oKMBff/1Vrnz//v1QGfg0byIiInoIsBtRJ4NbtqKjo9G1a1f06dMHycnJGDduHP755x8kJiZi9+7d5oiRiIiIajO2bOlk8FkPGjQIp06dgrOzM9zc3PDnn3+idevW+O2339C/f39zxEhERES1GVu2dDK4ZQtQD4jfvHmziUMhIiKiOoktWzo90FmnpqZi4cKFmD17NgD1A6iTk5NNGhgRERHVEWzZ0sngs/7ll1/g6+uLnTt34ocffgAAFBUVYdiwYYiPjzd5gERERFTLaWaQ1+f1CDI42Zo/fz7i4+Nx9uxZuLm5AQBeeOEFHDx4EEuWLDF5gERERFTLcZ4tnQxOMYUQ6NatGwDtebZcXV059QMREdGjiGO2dDL4rLOzs5GTk1OuPDU1Fbdv3zZJUERERFSHcMyWTga3bL300kvo0qULJkyYgIyMDGzZsgVJSUmIi4tDZGSkOWIkIiKi2owtWzoZnGxFRkbC0dERMTExuHr1KsaOHQsPDw9ER0dj4sSJ5oiRiIiIajMmWzoZnGwpFAqMHDkSkyZNQm5uLgDA3t7e5IERERFRHcFkSyeDz7phw4Z47rnnAKiTLCZaREREjziO2dLJ4JatkJAQ/PTTT+aIhYiIiOoiM7Zs7dy5EzExMbC1tYWFhQXWrVuH9u3bV1j3f//7HzZu3AiVSgWFQgFPT08sW7YMnp6eUp2wsLBy2/Xp0wcLFiwwODZ9GZxs+fr6IicnBw0aNCi3btKkSfj4449NEhgRERHVEfpOWGrgpKanT59GeHg4EhIS4OPjgy1btmDAgAE4f/58hXnIqFGjsHv3bgwYMAAlJSUYO3YsBg4ciD/++ANyuVyqd+jQIYPiMJbByZa/vz/CwsIwdOhQNGvWDJaWltK6X375xaTBERERUR2gmdRUn3oGWLp0KQYPHgwfHx8A6mTqjTfewObNmzFt2rRy9Z955hkMGDAAAGBhYYHXX38dISEhSExMlOYIrQkGJ1vz58+Hu7s7Pv3003Lr0tPTTRIUERER1SFm6kaMj4/X6t6zsLBAcHAw9u/fX2Gy9dVXX2kt29raAgAKCgoMOq6pGZxsde3aFQcPHqxwXe/evY0OiIiIiOoYMyRbmZmZUCgU0qMBNdzd3fHrr7/qtY8TJ06gSZMmCA0N1SqfPn06fv/9dwgh0L17d8ybN6/CbklTMXik2p49eypdV1kSRkRERA8xA+9GVCgUWq+KWp6USiUAaI210ixr1ulSUFCAZcuWYc2aNbC2tpbKAwMDMXjwYBw+fBjff/89/vzzT/Tv39+sjxw0ONkaOXKkOeIgIiKiusrAZKt58+ZwdHSUXrGxseV2aWdnB6B8F2BBQYG0TpdXX30VL774IoYNG6ZVvmrVKjzxxBMA1FNYvffeezh16hQOHDjwQKeuD4O7EY8ePYo+ffpUuM7a2hqenp4YPXo0evToYXRwREREVAcY2I2YmpoKBwcHqbhs6xUAuLi4wNHRsdx48LS0NHh5eek8TFRUFOzs7LB48eIqQ/L29gYAXLp0Cf3796+y/oMwuGVr9OjR+P3339GsWTN0794doaGhaN68Of755x/4+/sDAIYPH47t27ebPFgiIiKqhQxs2XJwcNB6VZRsAer5rxISEqRlIQQSExPRr1+/SkNZunQpUlNTsWbNGgBAQkKCtI9bt25hyZIlWvWvX78OAPDw8Hjw86+CwS1bd+7cwZkzZ8pllSkpKYiNjcXHH3+MBQsW4Pnnn8eIESNMFigRERHVUma6GzEqKgr9+/fHxYsX0apVK3z++eewtLREeHg4AKBHjx7o1auXlEBt2LABW7duxcaNG5GYmAhAPdbc09MTwcHBUCqVeP/99/Hyyy/D09MTKpUKixcvRps2bSrttTMFg5OtK1euVNh817JlSyQlJQEAmjZtChsbG+OjIyIiotrP0lK/CUtLzc2pj86dO2Pz5s0YMWIE6tWrBwsLC+zbt0+6c1CpVEpjunJycvDaa6+hpKSk3JxamzZtAqC+k3H27NkYOXIk5HI58vLy4OPjg3379knTRJiDwcnWjRs3kJCQgODgYK3yM2fOSE1xJSUlyM/PN02EREREVLuZ8XE9w4YNKzfIXUPTegUADRo0qPKOQltbW8ydOxdz5841OA5jGJxsRUVFoWvXrujRo4fUwnX58mUcO3YMGzZsgEKhwHPPPScNOCMiIqKHnBmTrYeBwcnWxIkT4efnhzVr1uC3334DALRt2xZHjhxB165dUVxcjFWrVqFx48YmD5aI6FEicP/RJjKIGoyEqApMtnQyONkCgG7dulX6jCErK6tKn8ZNREREDyEmWzo90FmnpqZi4cKFmD17NgBg586dSE5ONmlgRESPEgFZuVdV63XVJ6pWBk798Kgx+Kx/+eUX+Pr6YufOnfjhhx8AAEVFRRg2bBji4+NNHiAR0cPOVIkSEy+qMUy2dDL4rOfPn4/4+HicPXtWejjkCy+8gIMHD5abKIyIiGoGEy+qVky2dDJ4zJYQQhqvJZPd/yF2dXU160MciYjowWgSLg6yJ7PhmC2dDE62srOzkZOTI00oppGamorbt2+bLDAiIiKqI8w0qenDwuBk66WXXkKXLl0wYcIEZGRkYMuWLUhKSkJcXBwiIyPNESMREZkAp5Igs2HLlk4GJ1uRkZFwdHRETEwMrl69irFjx8LDwwPR0dGYOHGiOWIkIiITY9cimRSTLZ0eaJ6tSZMmYdKkScjNzQUA2NvbmzQoIiKqHgIyJlxkPCZbOhl11vb29lqJ1oIFC4wOiIjoUVPTyQ7vWiSj8W5EnfRq2Xr77bf12tnWrVv1rktERLULW7nogbFlSye9kq2VK1ciMDBQWv7111/h7OwMDw8PyGQyXL16FTdv3kRoaKi54iQiIqLaismWTnolWz169MDu3bsBALGxsXjttdcwfPhwrTo7duxAYmKi6SMkIqJqw9YteiBMtnTS66w1iRYAHDhwoFyiBQDPPfccTp06ZbrIiIioRnD8FhlMJtNvvJbs0fxuGZxiJicn4+7du+XKs7KycPHiRVPERERENYwJFxmEA+R1MnjqhyFDhiA4OBjh4eFo2bIlAODy5cvYsmULhg4daur4HsjOnTsRExMDW1tbWFhYYN26dWjfvn1Nh0VEVKdwLi7Sm5WVfjPI61OnDEOv6VXVF0Jg8eLF2LVrF6ysrNC6dWusXbsWjo6OBsemL4PPetWqVWjatCk+/PBD3Lx5EwDQuHFjvP7664iIiDB5gIY6ffo0wsPDkZCQAB8fH2zZsgUDBgzA+fPnyz1iiIiIiEzATGO2DL2m61N/5cqV2LFjB06ePIl69eph/PjxGD16NL777juDYjOETAjxwH+yKBQKAICDg4PJAjLWs88+C7lcjm3btgEASkpK0KRJE8ybNw/Tpk2rcnuFQgFHR0dk371bq86LiB5utb3bjq1bdYdCoYBjw4bIzs42+3VMumbeuqXXsRQKBRwbNdI7NkOv6VXVV6lUaNy4MRYvXoxXX30VAPD333+jffv2OHv2LDp06GDI6eutyhRToVAgKyurwnUODg4Vvlm3b9+GUqk0ProHEB8fj06dOknLFhYWCA4Oxv79+2skHiKih0FtTwaphplpzJah1/Sq6p89exYZGRladdq2bYv69eubNU+o8qytrKzw/PPP47ffftNrhydOnMDo0aNhY2NjdHCGyszMhEKhgJubm1a5u7s7UlJSqj0eIiKiR4IZki1Dr+n61L98+TIAaNWRyWRwc3Mza55Q5ZgtOzs7rF27FiNGjECjRo3Qt29feHl5wdnZGVZWVigqKpLuRNy/fz/y8vLw5ZdfwuoBBsEZS9OaJpfLtcrlcnmlLW0FBQUoKCiQljVdo0REpI1zcFGlDByzVfZaK5fLy127Db2m61P/QfIEU9ArI2rTpg1Onz6NTZs2YceOHXjnnXeQl5cnrW/QoAFCQ0Px8ssvIzw8vEYSLUCdGALQSp40y5p1ZcXGxmLRokVmj42I6GHAhIsqou/zNTV1mjdvrlW+cOFCREdHa5UZek3Xp/6D5AmmoHdWZGNjg1dffVUaUKZUKpGdnY2GDRuiXr16ZgvQEC4uLnB0dER6erpWeVpaGry8vCrcZs6cOZg1a5a0rFAoyn0JiIiIqHIlJeqXPvUAIDU1VWvMd9mWJsDwa7o+9TX/pqeno1mzZlKd9PT0SvMEU3jg2cXs7OzQuHHjWpNoafTp0wcJCQnSshACiYmJ6NevX4X15XK5NNC/sgH/REREVDlNsqXPC0C5625FyRZg+DW9qvr+/v5wdXXVqnP+/Hnk5eVVuk9TeOimco2KisLevXul2ew///xzWFpaIjw8vIYjIyJ6OOjbZUSPjuJi/V+GqOqa3qNHD8ybN0/v+paWloiKisK6deuQn58PAFixYgWGDBkCPz8/Y9+GStXM4Coz6ty5MzZv3owRI0agXr16sLCwwL59+zihKRERkZkY2o2or6qu6UqlUmv8lT45wMyZM5Gbm4vQ0FBYWVlJk5+ak1GTmj6MOKkpEdWUuthaxMHytU9NTGp67Zp+x1IoFGjWzLFaYqtNHrqWLSIiIqpe5mrZelg80Jit1NRULFy4ULqLb+fOnUhOTjZpYEREj7KqBhgT1SaGDpB/1BicbP3yyy/w9fXFzp078eOPPwIAioqKMGzYMMTHx5s8QCKih4KeVx9DLlqP6oWLah8h9Pu+PqoDlwxOtubPn4/4+HicPXtWmu7+hRdewMGDB7FkyRKTB0hEVGdVdLUpe2tWqaypbLXCwvKvspvVdNJVF8eZkenxDwTdDB6zJYRAt27dAKifJ6Th6uoKlUplusiIiOqysleXyq42FhaAlRVgY4OSEnVCBWgnVaVZWd3fpOzDOgx8xi+RyXDMlm4GJ1vZ2dnIyckpN5VCamoqbt++bbLAiIjqpNLJVemJhSqbaMjKCrC1BSwsUFJiLSVbSiVw79796ppEysZG+6VJuDT/MuGimsBkSzeDk62XXnoJXbp0wYQJE5CRkYEtW7YgKSkJcXFxiIyMNEeMREREVIvpO2GpoZOaPiwMTrYiIyPh6OiImJgYXL16FWPHjoWHhweio6MxceJEc8RIRFS3lG7F0jRV3bunfhUWqv+8L91UZW8PWFmhuMQaubnq4rt3gdxc9SbA/ZYrW1vAzk69ia2t+qXB1i2qKWzZ0u2B5tmaNGkSJk2ahNz/fivY29ubNCgiojqnbPdhYaE6U1Iq1eW5ueqXUqler8mI7OyAxx4D7OxQjHq4e1ddfOMGcPu2unpJyf2kyt4eaNjw/qusmki4BGSc3PQRx2RLN6MmNS2bZC1YsABvv/22UQEREdU5pa80mhate/cAhQJS9nT7NpCVpS67d+9+VtSwobq+gwOKbR2hGfp6+TJw9ap685ISdU4GqPMyd3f1q6Kx9poXUXVisqWbXsmWvgnU1q1bmWwR0aOpdLJ17566FSsrC0hLU5dfu6Zurrp1S91cpUm2GjVSb9OoEUoaNcWtW+ripCTg77/Vm/+XiwEAmjQBvLzKdy9q7k60stK+oDHxouqgmWdLn3qPIr2SrZUrVyIwMFBa/vXXX+Hs7AwPDw/IZDJcvXoVN2/eRGhoqLniJCIiolqKLVu66ZVs9ejRA7t37wYAxMbG4rXXXsPw4cO16uzYsQOJiYmmj5CIqDYrO3+WZqyWQqFuxbpyRV1+4QJw8eL9vkEbG3W5h4f6Xy8vlDzWXmoIO3sWOH78/vh6DXd3SIPobWzuj+Wytb0/HQS7Eqm6MdnSTa9kS5NoAcCBAwcwZ86ccnWee+45rF+/3nSRERHVFZpB8YD6X6VSnVClpakHXwHAX38BiYn3B8xrXLumzpSCgmDhd7/X8a+/yidawP1uRVtbddeis7O63MFBPa6ruFi7K5FJF1UHJlu6GTxAPjk5GXfv3kXDMrfBZGVl4eLFi6aKi4io7iidbBUWVpxsnT1bPtHS+P134OpV2Nioh3kBgK45om/fVjeYNWumfgHqgfOaWSVKX9BKzzJBZC5MtnQzONkaMmQIgoODER4ejpYtWwIALl++jC1btmDo0KGmjo+IqPYq+zgeQLsb8fZtdbchoF6uTFYWcO0abG0rz8fKunFDvZmmS7H0cxOJqhsnNdXN4GRr1apVaNq0KT788EPcvHkTANC4cWO8/vrriIiIMHmAREREVLuxZUs3g5MtS0tLREVFISoqCor//lJz0NyTTET0KCrbwqXpStS0bukjLQ1yiyIA1npVv3v3/vMTAe2HVj+qFzSqObUh2SosLERkZCSOHTsGIQRCQ0OxfPly2GhuRikjKysLq1evxv79+2FlZYXs7Gw8//zzeOONN2D135wqV65cQdeuXdGmTRutbd977z107txZ79iMmtS0bJK1bt06TJkyxZhdEhHVbZqrTulZ5PVx9y6gUMDW1uWBD0tUU2rDPFsRERG4cOECTp06BQAYOHAgIiIisHr16grrf//99/jf//6HEydOwNHREdevX0dQUBAKCwsRHR0t1Rs4cCA2b95sVGwGJ1tbtmypdN2aNWuYbBERAepbAi0s7s86WpX/WsOcnfVLtjR3H2r+aNccDuCAeKp+Nd2ylZmZiQ0bNmD37t2wtLQEAMycORNDhw5FdHQ0nDW37Zbi4uKCiIgIODo6AgCaNm2K559/Htu2bdNKtkzB4GTr1Vdfhbu7u7SsUqlw69YtWFhYaJUTET0ySk9sZWV1fwIse/v7czNU1Z1oYwMoldD8GrW11d0o1qSJeteap6bZ2monXETVqaaTrSNHjqCoqAidOnWSykJCQlBUVITDhw9j2LBh5bYZNGhQuTJbW1sUFBSYPD6Dk63evXvj+++/1yorLi7G1q1bIR7VefiJ6NFkYVF+Qisrq/uJ1mOPqbMiQD2pqS7OzkBxsVTdzw84c6biqg0bAp6e6glONbPwaFq5yiZcTL6oOtR0snX58mVYWVnBxeV+y7CrqyssLS2RkpKi935OnDiBF154QassKSkJTz/9NO7cuYP69evjlVdewfPPP29QfAYnW2UTLQCwsrLC2LFjMWjQIIwbN87QXRIREVEdZmiypSgzFYpcLodcLn/g4yuVygoHwtvY2ECp53wqBw4cwLVr1/DWW29JZba2tvD09MQHH3wANzc3JCQkoF+/frh16xZee+01veMz2d88ycnJuHTpkql2R0RUN2i6EDVPgdZ0ITo4qJuevLzULz+/yvfh7AxN/6G7u/rl73+/Uay0Ro2AoCCgdWt1PWdn9atsyxYf2UPVqfRTq6p6AUDz5s3h6OgovWJjYyvcb1RUFGQymc5XUlIS7OzsUFjBIxcKCwthZ2dXZfzXr1/HlClT8O2332rd/Ofu7o7t27fDzc0NABAcHIwJEyYgJibGoPfH4JYtLy+vcmU5OTm4c+cOFi9ebOjuiIjqvrJjtuzs1P17mmQLUA/AsrFRPx+x9F/1zs7q7KlZM8DKCo89pi5u1049Yenly+pNNdeLJk3UXYheXur/a7oR7e35XESqOYa2bKWmpmolNZW1as2dOxdTp07VuU93d3d4eXmhuLgYmZmZUldiRkYGVCpVhXlLaZmZmRg6dCg++ugjBAYGVnkO3t7euHHjBvLz81GvXr0q6wMPkGzJ5XJERUVJyzKZDA0aNEBAQECVJ0RE9NDRjNvSZDg2NveTrcLC+w84tLBQt3Y1a6ae5kHD2VmdOTVrBtjYoOF/A95btVLPHtGkiTrZ0jxwWtMI5u6ubuXSXK80D6Iu3bJFVF0MnUHewcFBrzk69a3Xs2dPWFtbIyEhAU888QQA4MyZM7C2tkbPnj0r3S4nJwdPP/00Fi5ciF69egEAPv74Y0yaNAkA8MUXX8Db2xtdunSRtrl+/TpcXV31TrSAB0i2oqKiEB4ebuhmREQPr9JTPJSU3B8gX/pPfRsbdQLWrNn9Z+wA6nru7uqsytYW9v+1YGmeeejurs7XNMNR7O3vP4DawYF3I1LtUNPzbLm4uGDy5MlYtWoV+vXrB0D9xJvJkydL0z4kJiZiyJAh2LNnDzp27Ih79+7h6aefRrdu3eDu7o4z/92R8tFHH0nJ1oULF/Dtt9/i888/h5WVFa5evYpPPvnE4GmuDE62rly5Uq4sNzcXgYGBmD17Nv7v//7P0F0SERFRHVbTdyMCwLJlyxAZGYmQkBAAQPfu3bFs2TJpfXFxMZRKJYr/a1775JNPcOjQIRw6dAgrVqyocJ8vvPACli1bhscffxzW1tbIy8vDzJkzMXPmTINikwkD52vo06cPDhw4UK68uLgYPXv2xPHjxw0KoLZRKBRwdHRE9t27fAwREelPcxXR9Kfcu6d+no6mFUuhUL9yc7Un0LK1Vbd4NWoEuLsj30493uTWLfWDppVK9e40LVa2tupeSs1L071Yk12IMnDan9pEoVDAsWFDZGdnm/06prlmbt+eDTu7qo+lVCowYoRjtcRWm+jVsnX27Fn8/vvvAIC0tLQKZ5G/c+cO7ty5Y9LgiIjqHE2Xoq2tdveijY26z+/ePe3BLZoB9Q4OgI2NVnehhYW6C7Fsb2Tpl2b3HKtFNak2tGzVZnolWwcPHsSqVasAAOnp6Vi4cKHWegsLC7i6uuKdd94xeYBERHVC2SxHkwWVvUux7EhiC4v700XY2EjV7ezuj70vfYEq/RSgso/oYaJFNYXJlm56JVvTp0/H9OnTAQADBgzAvn37zBoUEVGdVTb7KZ1sFReXvypVlDnhfuNY2YtT2d3yeYhUGzDZ0s3gAfK6Eq3jx4+je/fuRgVERFTnlZ4OovSDqK2sKr7aVDALqa5nWNemx/FwvBYBTLaqYnCydfXq1UrXRURE1PkB8kRERGQYJlu66ZVsBQcHw9fXF1988QU8PT0hk8nK1RFCVFhORPRIqqjJqfSDqyuqa2EhtRRZWMiqrE5UWxg6qemjRq9k66233pImBevSpQu2b99ero4QAiNHjjRtdEREdV3ZzKiiDEpH9sTEiuqCmp7UtLbTK9kaNmyY9P+YmBi0aNGiwnqGPpiRiOiR9JBkUByvRRrsRtTN4J/4I0eOlCvLzc1Fq1atkJSUZJKgiIiIqO7QJFv6vB5FBidbhw8fLldmb2+PpKQkfPbZZyYJioiIiOoOJlu6cQZ5IiIyCLsPqSx2I+rGGeSJiIjIKEy2dOMM8kREpDe2alFFmGzpZvCYLV2J1rlz54wKhoiIai8mWlQZjtnSzeAZ5DUKCgpw69YtiFKTZkycOJEzyBMRET1iVCr9JixVqcwfS21kcLJ1/fp1jBkzBocPH9ZKtIiIiOjRxG5E3QxOtl5//XX07t0b69atw9ixY7F9+3YUFBRgx44dUCgU5oiRiIhqGLsQSRcmW7oZnGzdunULb731FgDA1tZWmk1+zpw5ePbZZ00bXQVKSkrQrVs3pKen48qVK1rrGjZsiMDAQK2yWbNm4emnnzZ7XEREDysmWlSV2pBsFRYWIjIyEseOHYMQAqGhoVi+fDlsbGwq3aZNmzZwd3fXKnvppZcwadIkafn69et49dVXcefOHeTn52PSpEmYPHmyQbEZnGxZlHrMRFFREZRKJezs7KBSqaplBvm1a9fiwoULcHR0LLcuMDAQhw4dMnsMRESPAiZZpK/akGxFRETgwoULOHXqFABg4MCBiIiIwOrVqyvdxt3dXWfeUFJSgqeeegrDhw/HvHnzkJGRgQ4dOqBRo0YGNTAZfDeivb093nzzTSiVSnTu3Bn9+/fHkiVLMGjQIDz22GOG7s4g169fxyeffKKVcRIREVHNqum7ETMzM7FhwwbMnDkTlpaWsLS0xMyZM7FhwwZkZWU98H737NmDc+fOSdNfubq6YsyYMViyZIlB+zE42YqJiYGHhwcKCwvx1ltvoWHDhnj33XehUCiwYcMGQ3dnkNdffx1Lly5FvXr1zHocIiIi0l9NJ1tHjhxBUVEROnXqJJWFhISgqKiowscM6is+Ph6+vr6wt7fX2m9iYqJBT80xuBsxICAAAQEB0vLevXsN3cUD2b17N6ysrDBw4ECcPHmywjppaWl48cUXcfPmTdjY2GD48OGYNGmSVtcnERFVjV2IZIia7ka8fPkyrKys4OLiIpW5urrC0tISKSkplW6Xl5eH8ePH4+LFi7C0tMQTTzyB2bNnS+O8Ll++DDc3N61tNGO8UlJS4OTkpFd8DzzPVmkjR47EyZMnYWFhgUuXLplil1pyc3Mxd+5c/PTTTzrrtWrVCjExMfD29salS5fQr18/XLp0CcuWLat0m4KCAhQUFEjLvKOSiGoDGQQEZDV2bCJDGJpslb3WyuVyyOXyBz6+UqmscCC8jY0NlEplpdv5+vpiypQp6NSpE27duoXBgwcjMTERX331lbRfW1vbcrFq1unLJE0+27ZtQ0pKCho1amTQdlFRUZDJZDpfSUlJmD9/PiZPnozGjRvr3N+ePXvg7e0NAPD29kZERARWrlyJ/Pz8SreJjY2Fo6Oj9GrevLlB50BE9LCQQTDRogeimdS0qpdmUtPmzZtrXXtjY2Mr3K++eYKdnR0KCwvLbV9YWAg7O7tK4966davU9dioUSNER0fj66+/RnJyMgDAzs5Oq0EGgLSsa79lmaRlS0MmM+yvsLlz52Lq1Kk667i7u+PAgQNISEiQMs0rV64gLS0NYWFhaNWqFTZu3Fjhtt7e3lCpVPj333/Rpk2bCuvMmTMHs2bNkpYVCgUTLiJ6pDDBImMZ2rKVmpoKBwcHqbyyVi198wQvLy8UFxcjMzNT6krMyMiASqWCl5eXficBSA02ly5dgo+PD7y8vHDgwAGtOmlpaQCAli1b6r1fkyZbhnJwcNB6syvzxx9/aC1HR0dj8+bNWrdrxsfHIy8vT2tOrevXr0Mmk6FZs2aV7tvYpksiIqJHnaHJlr7Xf33r9ezZE9bW1khISMATTzwBADhz5gysra3Rs2fPCrf5888/cerUKUyYMEEqu379OgDAw8MDANC3b1+sX78eubm50iD5M2fOIDg4WO/xWoCe3YiLFi3Se4c1JTU1FcuWLZP6ULOysvDBBx9gzJgxWncREBHRfWzVIlOo6bsRXVxcMHnyZKxatQolJSUoKSnBqlWrMHnyZDg7OwMAEhMT0bRpU/z2228A1NNFvPfee9LUEPn5+Xj33XfRu3dvtG3bFgAwePBgtG/fHh9++CEA4Pbt29iyZQvmzp1rUHx6tWx9+eWX8PLyqvJZiBkZGQYd3FBpaWkYMWKEVjfi2LFjMXbsWPTt2xeJiYno3bs3bG1tkZubi8GDB2P+/PlmjYmIqC5ikkWmVNN3IwLAsmXLEBkZiZCQEABA9+7dtW6QKy4uhlKpRPF/T8z29/fH8OHDMWjQINSrVw+5ubkICQnBO++8Iw2LsrS0xO7duzF58mSEhoYiPz8fCxYsMPiJOTKhx9Ok9Z06QSaTQVXHH+mtUCjg6OiI7Lt39Wq6JCIyF3Pcjcgk6+GnUCjg2LAhsrOzzX4d01wzX3stG3J51ccqKFBg7VrHaomtNtEri+rVq5fULKfr1blzZ3PHS0RED4B3GpI51XQ3Ym2nVzfie++9p9fOVq1aZUwsRERkIkysqDrVhm7E2kyvZEvT/1mVLl26GBUMERER1T1C6JdIVT1w6eFUo1M/EBGR6bA1i2oKW7Z0Y7JFRFRLMXmiuqK4GNDnXrr/bgR85DDZIiIiIqOwZUs3JltERERkFCZbujHZIiIiIqMw2dKNyRYREREZhcmWbky2iIiIyChMtnRjskVERERG4TxbujHZIiIiIqOwZUs3JltERERkFCZbujHZIiIiIqMUFwMymX71HkVMtoiIiMgobNnSjckWERERGYXJlm5MtoiIiMgoTLZ0Y7JFRERERqkNyVZhYSEiIyNx7NgxCCEQGhqK5cuXw8bGpsL6hw4dwtixY+Hp6alVfubMGaxevRrjx48HADRs2BCBgYFadWbNmoWnn35a79iYbBEREZFRasM8WxEREbhw4QJOnToFABg4cCAiIiKwevXqSrcZO3YsoqOjpeWsrCx4enpi6NChUllgYCAOHTpkVGxMtoiIiMgoNd2ylZmZiQ0bNmD37t2wtLQEAMycORNDhw5FdHQ0nJ2dy20TEhKCdu3aaZV98cUXGDhwYIX1jWFh0r0RERHRI0eTbOnzMocjR46gqKgInTp1kspCQkJQVFSEw4cPV7hN/fr10ahRI62yuLg4qfvQlNiyRUREREYxtGVLoVBolcvlcsjl8gc+/uXLl2FlZQUXFxepzNXVFZaWlkhJSdFrH+fOncPNmzfRv39/rfK0tDS8+OKLuHnzJmxsbDB8+HBMmjQJFhb6t1cx2SIiIiKj6DtZqaZe8+bNtcoXLlyoNXbKUEqlssKB8DY2NlAqlXrtIy4uDmPGjJG6ITVatWqFmJgYeHt749KlS+jXrx8uXbqEZcuW6R0fuxGJiIjIKIZ2I6ampiI7O1t6zZkzp8L9RkVFQSaT6XwlJSXBzs4OhYWF5bYvLCyEnZ1dlfGrVCp8/vnnGDduXLl1e/bsgbe3NwDA29sbERERWLlyJfLz8/V+f9iyRUREREYxtBvRwcEBDg4OVdafO3cupk6dqrOOu7s7vLy8UFxcjMzMTKkrMSMjAyqVCl5eXlUeZ9++ffDy8oKPj0+Vdb29vaFSqfDvv/+iTZs2VdYHmGwRERGRkcx1N6K+SVnPnj1hbW2NhIQEPPHEEwDU82VZW1ujZ8+eVW4fFxdXYatWfHw88vLytObUun79OmQyGZo1a6b3ebAbkYiIiIyimWerqpe55tlycXHB5MmTsWrVKpSUlKCkpASrVq3C5MmTpWkcEhMT0bRpU/z2229a2969exfx8fF44YUXyu03NTUVy5Ytk8Z9ZWVl4YMPPsCYMWNgb2+vd3xs2SIiIiKjlJQAMpl+9cxl2bJliIyMREhICACge/fuWoPYi4uLoVQqUVxmNP/27dvx1FNPVZg89e3bF4mJiejduzdsbW2Rm5uLwYMHY/78+QbFJhPCnPO51j0KhQKOjo7IvntXr6ZLIiKi2kShUMCxYUNkZ2eb/TqmuWYGBGTD0rLqY6lUCvzxh2O1xFabsGWLiIiIjFIbWrZqMyZbREREZBQmW7ox2SIiIiKjFBfrN/hdpTJ/LLURky0iIiIyClu2dGOyRUREREZhsqUbky0iIiIyimaeLX3qPYqYbBEREZFR9G2xYssWERER0QNgsqUbky0iIiIyCpMt3ZhsERERkVGYbOnGZIuIiIiMwmRLNyZbREREZBQmW7ox2SIiIiKjFBcDFhZV12OyRURERPQAOM+Wbky2iIiIyCj6ziDPZIuIiIjoATDZ0o3JFhERERmFyZZuegxnqz0uX76MoUOH4vHHH4e/vz8mTZqEvLw8rTrXr1/HU089hdDQUAQFBWHDhg01FC0REdGjoaRE/5c5JScno3v37ggLC9OrvhACb7/9NoKCgtC5c2eMGjUK2dnZWnWys7MxevRodO7cGUFBQVi0aBGEgVljnWnZys3NRZ8+fRAeHo5FixahuLgYQ4cOxauvvoqtW7cCAEpKSvDUU09h+PDhmDdvHjIyMtChQwc0atQIzz77rGEHlMn0S9OJiIhqkxq4dtWGlq3PPvsM69atg6Wlpd7brFy5Ejt27MDJkydRr149jB8/HqNHj8Z3330n1Rk9ejTc3Nxw+vRpKJVKdO7cGQ0aNMCsWbP0Pk6dadnas2cP/v33X8yYMQMAYGVlhalTp+KLL77A1atXpTrnzp3D9OnTAQCurq4YM2YMlixZUlNhExERPfRqQ8uWi4sLDh8+jFatWulVX6VSYenSpZgyZQrq1asHAIiIiMDu3bvx559/AgDOnj2L3bt3IyIiAgBgZ2eHKVOmYOnSpVCpVHrHVmeSratXr8La2hpOTk5SWePGjSGEwNGjRwEA8fHx8PX1hb29vVQnJCQEiYmJuHPnTrXHTERE9CioDcnWk08+CRsbG73rnz17FhkZGejUqZNU1rZtW9SvXx/79+8HoM4r7O3t4evrK9UJCQlBRkYGzp49q/ex6kw3oqenJ4qKipCWlgZ3d3cA6vFZAHDt2jUA6jFdbm5uWttp6qakpGglahoFBQUoKCiQljV9tQqFwvQnQUREZGaa65eh44qMoVLpe81U1yt7jZXL5ZDL5SaOSrfLly8DgFbeIJPJ4ObmhpSUFKmOrryiY8eOeh2rziRbQ4YMgaenJxYtWoS1a9ciPz8fK1euhIWFhdSUp1QqYWtrq7Wd5sNTKpUV7jc2NhaLFi0qV968eXMTnwEREVH1ycnJgaOjo1mPYWNjA3d3d6Sl6X/NtLe3L3eNXbhwIaKjo00cnW6avKBskieXy6V1SqWywvWlt9dHjSdbUVFRePfdd3XWOX/+PNq0aYOjR49i3rx5CA0NlQanHTp0SGqxsrOzQ35+vta2mlYrOzu7Cvc9Z84crUFuJSUl+PfffxEYGIjU1FQ4ODgYc3pUDRQKBZo3b87Pq47g51W38POqWzSf199//40mTZqY/Xi2trZISUlBYWGh3tsIISArM5q+slYtQ3IEQ2nygtK9W5plzTo7O7sK15feXh81nmzNnTsXU6dO1VlH02TXrFkzxMXFSeW3b99GcXExOnToAADw8vLCgQMHtLZNS0sDALRs2bLCfVfUdGnx3wOeHBwc+MulDuHnVbfw86pb+HnVLU2bNpWuZeZma2tbrlfJVAzJEQzl5eUFAEhPT0ezZs2k8vT0dGmdl5cX0tPTtbbT5BWaOvqo8WTLkB/gQ4cOac2dceTIETRp0gTdunUDAPTt2xfr169Hbm6uNEj+zJkzCA4OrnC8FhEREdVe5kzy/f394erqioSEBAQHBwNQt5Ll5eWhX79+ANR5xaxZs3DhwgW0bt0agDqvaNSoEfz9/fU+Vp25GxEAnn32WVy8eBEAcPfuXSxevBgrVqyQ5tQYPHgw2rdvjw8//BCAuuVry5YtmDt3bo3FTERERDXv+vXraN68Ofbu3QsAsLS0RFRUFNatWycNQVqxYgWGDBkCPz8/AOqEbMiQIVixYgUAID8/H+vXr8ebb75pUMthjbdsGWLAgAEYMGAAmjVrBiEEoqKi8OKLL0rrLS0tsXv3bkyePBmhoaHIz8/HggULDJ7QVC6XY+HChdV+ZwQ9GH5edQs/r7qFn1fd8ih/Xt999x3ef/99JCUl4d69ewgLC8Po0aPxyiuvAFDPq5Wfn4+ioiJpm5kzZyI3NxehoaGwsrKCj48PtmzZorXfLVu2YOrUqejSpQsKCwvx3HPPYebMmQbFJhPVeW8oERER0SOmTnUjEhEREdU1TLaIiIiIzIjJFhEREZEZMdkqY+fOnQgJCcHjjz+OXr164dy5czUdEv2nsLAQixYtQteuXdGtWzf06NEDZ86ckdYLIfD2228jKCgInTt3xqhRo6THL5H5FRYWIioqClZWVrhy5YrWuqysLIwbNw5BQUEICwtDjx49cOTIkXLbT58+HZ06dUJwcDBef/11gyZKJMP873//wxNPPIG+ffsiJCQEzz//vPS5XblyBe7u7ggLC9N6PfbYY1iwYIG0D35m1ePbb7/FoEGD0LdvX/To0QNBQUHYtm1buXr79+9H37590bt3b7Rq1QpPPvkkcnJypPXZ2dkYPXo0OnfujKCgICxatKhaH+nzSBMkOXXqlGjQoIG4cOGCEEKIuLg40bRpU6FQKGo4MhJCiFmzZgk/Pz/p89i2bZtwcnIS6enpQgghVqxYIfz9/YVSqRRCCDFu3DgxZMiQGov3UZKSkiK6du0qxowZIwCIlJQUrfWjRo0SXbt2Fffu3RNCCLFr1y7RoEEDcfPmTanOtGnTxIABA0RxcbEoLi4W/fr1E9OmTavO03ikWFtbix9//FEIIYRKpRKjR48Wvr6+4t69eyIlJUWEh4dr1S8qKhLu7u7ir7/+ksr4mVWPAQMGiLi4OGn5u+++EzKZTPzxxx9S2cGDB4WPj4+4ceOGEEKI9PR04eLiovUzNmTIEDFhwgQhhBB5eXmiffv2YsWKFdV0Fo82JlulDBs2TIwYMUJaVqlUws3NTaxevboGoyIh1J+FnZ2deP/997XK3d3dxdtvvy2Ki4uFq6ur2LBhg7Tu3LlzAoA4e/ZsdYf7yPnzzz9FcnKyOHjwYIXJlp+fn4iMjJSW8/LyBADxzTffCCGEuH37ttbFXwgh9u7dK6ytrUVmZma1nMOjZvjw4VrLv/76qwAgjh8/LgoLC8W1a9e01u/evVuEhIRIy/zMqs+ZM2dEUVGRtKxQKAQAsXPnTqksODhYfPTRR1rbnTx5UvoD548//hAARFJSkrR+7dq1wtXVVRQXF5v3BEiwG7GU+Ph4dOrUSVq2sLBAcHAw9u/fX4NREaCeoFapVFb49PUjR47g7NmzyMjI0Pr82rZti/r16/PzqwZ+fn5o1apVpeufe+45fP/998jKygIAbN26FQCkz/PIkSMoKirS+vxCQkJQVFSEw4cPmzHyR9dXX32ltax53EpBQQGsra3RtGlTrfVxcXEYP368tMzPrPoEBwfDyko9LWZRURGWL1+Odu3aSbOcX716FQkJCejZs6fWdl26dJHm24qPj4e9vT18fX2l9SEhIcjIyMDZs2er6UweXUy2/pOZmQmFQlHhxTwlJaWGoiINV1dX1K9fH1evXpXKhBC4efMmrl27hsuXLwOA1ucnk8ng5ubGz68WiI6OxjPPPIOWLVvCx8cHU6ZMwbRp09C9e3cAwOXLl2FlZQUXFxdpG1dXV1haWvLzqyYnTpxAkyZNEBoaWm5dVlYWfv75Z4wYMUIq42dW/V577TW4urpi//792Ldvn/RYur/++guA+jMZNGgQunfvjhdffBH//POPtO3ly5crvL4B4OdVDZhs/UepVAIo/+RxuVwuraOaI5PJMHXqVHz88ce4fv06AGD9+vXIysqCSqXi51fLLViwAHv27EFycjKSk5Px008/ITAwUFqvVCphY2NTbjsbGxt+ftWgoKAAy5Ytw5o1a2BtbV1u/fbt2/Hkk0+iYcOGUhk/s+q3du1a3L59G2FhYQgNDcXNmzcBAHfu3AGg/qNm69atOHbsGNq1a4euXbsiIyMDgPrzquj3o2YdmReTrf/Y2dkBUP/SKa2goEBaRzVryZIl+L//+z+8+OKLePzxx3Hjxg2MHDkSTk5O/PxqsYyMDMTGxuKNN95Ao0aNAAB9+vRBTEyM1J1oZ2dX4V1shYWF/PyqwauvvooXX3wRw4YNq3D95s2bMW7cOK0yfmY1w8rKCosXL0ZJSQnef/99AJCeD/x///d/cHFxgUwmw5w5c1BUVIS4uDgA6s+rot+PmnVkXky2/uPi4gJHR0ekp6drlaelpcHLy6uGoqLSLC0tERkZiV9++QVHjx7FO++8g8zMTHTo0EH6jMp+funp6fz8alhKSgqKi4vh6empVe7p6YkdO3YAALy8vFBcXIzMzExpfUZGBlQqFT8/M4uKioKdnR0WL15c4fq///4b6enp6Nu3r1Y5P7PqUzaptbCwQOvWrfH3338DAJo1awYAWuPsbGxs0LhxY6mL0MvLq8Lrm2YdmReTrVL69OmDhIQEaVkIgcTERGkQItWss2fPSgOsAfVA0ZMnT2L48OHw9/eHq6ur1ud3/vx55OXl8fOrYZoLgKbLQ+PmzZvSX9Q9e/aEtbW11ud35swZWFtblxv0S6azdOlSpKamYs2aNQCAhIQErc8AUA+MDw8Ph4WF9uWCn1n1CQoKKld28+ZNNGnSBIB6AH39+vW1fsZKSkqQkZEBDw8PAEDfvn2Rm5uLCxcuSHXOnDmDRo0awd/f38xnQJz6oZRTp04JBwcHkZycLIQQ4rPPPuM8W7XIa6+9JhYtWiQtL1iwQAwcOFBaXrFihQgICJDm2XrllVc4z1Y1q2zqhyeeeEL07NlT5OfnCyHU8wQBELt27ZLqTJs2TQwaNEioVCqhUqnEE088wTmbzGj9+vWiffv24sSJE+LXX38Vv/76q1i4cKHYtGmTVKe4uFg0bdpUXLp0qcJ98DOrHjKZTOzZs0da/uyzz4SFhYU4evSoVDZ37lzRvXt36Wds48aNwsHBQVy/fl2qM2TIEDFp0iQhhBBKpVJ06NCB82xVE5kQnD62tJ07d2LJkiWoV68eLCwssG7dOrRv376mwyIAn332GWJiYuDg4ABra2sEBwcjJiYG9evXB6BuiVy8eDF27doFKysr+Pj4YO3atVqDesk8CgsL8cQTT+Du3bv4448/0KVLFzRv3lyaXiAzMxNRUVFITEyEra0t7t27h+nTp2PMmDHSPgoKChAZGYljx44BALp3747ly5eXG9RLxsvJyUHDhg1RUlJSbt2mTZswduxYAMCPP/6IpUuX4tChQxXuh59Z9fjwww+xbds2WFhYoKSkBDKZDHPnzsXgwYOlOiqVCvPmzcP333+Phg0bQi6X491339VqFbt79y6mTp2K5ORkFBYWYujQoViwYAFkMllNnNYjhckWERERkRlxzBYRERGRGTHZIiIiIjIjJltEREREZsRki4iIiMiMmGwRERERmRGTLSIiIiIzYrJFREREZEZMtoio1rl+/XpNh1BtHqVzJXpUMdkiMoPTp08jLCwMMpkMbdq0wcKFC2s6JAQFBeGbb76Rln///XesWrXK6P1+/fXXCAwMNNks1G+99RY+//zzajlWbfDuu+9iw4YNNR0GEZkRZ5AnMiOZTKb1+JOaNGLECEyePBlhYWEAgM2bNyM6OhpXrlwxet+HDh1C7969Yeyvky+++ALbtm3D7t27zX6s2qK4uBhdu3bF6tWr0b1795oOh4jMwKqmAyCi6rF9+/aaDkGnkpISRERE4H//+19Nh1KtrKysMGPGDLzxxhv45ZdfajocIjIDdiMS1bDPPvsMgYGB6NKlCzp27Cg9vBkAJkyYAHd3d4wZMwZvvvkmevXqBV9fX+zbt09rHydOnEBAQACCg4MxaNAgrFy5EjKZDGFhYbh48SLGjBkDd3d3qYXtiy++wNKlS5GWloawsDCEhYUhJSUFYWFhsLW1xebNmwEAX375Jdq0aQNPT89Kj/fMM8/gwoUL5c7rwoULGDhwILp27YrQ0FDMmDED+fn5lb4PJ06cwN27d9GtWzeTHystLQ1PPvkkWrdujf79++Pzzz+HTCZDYGAgvv76a6xZs0Y6z7i4ODz55JNwdnbGjBkz9Np/bm4uJk6ciI4dO6JXr14YOnQorl69Kq3/+eef0bVrV/Tu3RvdunXD66+/jry8PGl9nz59cPz4cdy4caPS94eI6jBBRGYDQGzatKnS9fv27RP29vYiKSlJCCHE2bNnha2trTh27JhUJzw8XDg5OYnz588LIYT44IMPhIeHh7Q+JydHuLi4iOXLlwshhMjLyxNdu3YVZX+8w8PDRXh4uLS8adMm0aJFi3IxtWjRQivmsvUqOl6vXr20jnfv3j3h6ekp1q9fL4QQoqioSAwePFhMmjSp0vdi2bJlok2bNlplpjrWgAEDxDPPPCNUKpUQQojXX39dABAHDx7UOs969epJ+4mPjxdvvPGGXvsfOXKkGDlypLT/mJgY0a5dO1FcXCyKioqEg4ODiI+PF0IIoVQqha+vr0hJSdE6V1tbW7Fjx45K3x8iqruYbBGZUVXJVs+ePcWoUaO0yp555hkxePBgaTk8PFz06dNHWv7jjz8EAJGVlSWEEOKjjz4ScrlcKJVKqc7GjRvNlmzpc7xPP/1UNGjQQEo+hBDi66+/FlZWVuLevXsVvhcRERGie/fuWmWmOFZSUpIAIA4cOCCtv3jxYoXJlo2NjSgsLNSKoar9X7p0SchkMvHrr79K62/fvi0AiP3794usrCwBQHzyySfS+j/++EPrnIQQwt3dXaxbt67C94aI6jaO2SKqQX/99Rf69OmjVdaqVSutrkQAaNKkifT/Bg0aAAAUCgWcnJxw/vx5NG7cGPXq1ZPqeHh4mC1mfY73119/QaVSaZ3bvXv30LRpU9y8ebNctyQAZGdnw8pK+1eSKY6VlJQEAPDy8qp0HxqNGjWCtbW1Qfs/d+4chBCYPn261rYtWrRARkYGnJycMGfOHEycOBEbNmzAiBEjMHbsWK1zAgBra2vcuXOnwriIqG5jskVUB1haWkr/10x7IHTcjWfM1Ahlt1WpVAZvAwCPPfYYDh06pPdxGzZsiKKiIpMf648//tBrH4D2+6zv/v/8808AwNatW9GyZcsK68TExGDSpEmIi4vDqlWr8O677+LEiRNaCWBRURGcnZ0r3J6I6jYOkCeqASNGjAAA+Pn54eLFi1rrLl26hA4dOui9r7Zt2+LmzZtaA7ZLD86ujIXF/R//wsJCFBQUAFC3nOXk5Ejryk66qc/x/Pz8cPPmTa39FBUVITw8HMXFxRXG4+7ujqysLJMfq02bNgCAy5cvV7oPXaraf/v27QEA//zzj9Z2CxYsQFJSEnJycrBv3z54enpi4cKFSEpKQr169bBz506t+nfu3IGbm5vecRFR3cFki6gGnDx5EgAwb948fPvtt0hOTgYAnDt3Dj/++CPmzp2r975eeukl2NvbY926dQCA/Px8bN26tcrtXF1dkZ2dDSEEVq1ahY0bNwIAAgMDcfz4cQDqu+zKznlV0fE++eSTcnWaNWuG2NhYqWzVqlWwsLAo11WoERoaiitXrmglY6Y4lq+vLwYMGIAPPvgAJSUlAICPP/64yvdH3/17eXlh5MiReO+993Dv3j0AwPHjx7Fjxw60atUKmZmZmDJlCnJzcwGoWyRVKhVat24t7S81NRVFRUWcZ4voYVWzQ8aIHk4nTpwQXbp0EQCEl5eX6NKli9ar9IDzuLg4ERAQIDp37iwCAwPFl19+Ka2bPn26cHNzE25ubiIyMlIkJSVJ++3SpYs4e/asEEKI48ePC39/fxEUFCSefvppsX79emFlZSXtZ/To0dJ+XnnlFSGE+i6+fv36iZCQENGrVy9x69YtIYQQly5dEl26dBEhISFi5MiRYunSpUIul4tevXqJnJwcreN17NhRDBo0SKxcuVIAEL169RLJyclCCCEuXLggBg4cKPz8/ETPnj3FpEmTRG5ubqXvWUlJiWjevLnWoHVTHevmzZti4MCBwsfHRwwYMEDs2rVLABC//PKLEEI9ON7X11c6z6NHj2rFUNX+c3JyxKRJk4Svr68ICwsTQ4YMkWLLzc0V06ZNE0FBQSIsLEwEBweL2NhYrf1/+umnolevXpW+N0RUt3EGeaKHQEZGBlxdXaXlL774AgsXLpRazOqKnTt3Yv369di3b59JH8lT9v25ceMGmjZtimvXrqFp06YmO86DKCwsROfOnfHpp58iKCioRmMhIvNgNyLRQ6Bnz564ffs2AKCgoAAbN27EqFGjajgqww0bNgz9+vVDTEyMSff7f//3fzh8+LC0vHbtWoSFhdV4ogUAM2fOREREBBMtoocYW7aIHgJvvvkmfv75Zzg4OCA/Px/9+vXDwoULYWNjU9OhPZDMzEy4uLiYbH+fffYZVq9eDXt7exQUFKBFixZYuXIl3N3dTXaMB2XqcyWi2ofJFhEREZEZsRuRiIiIyIyYbBERERGZEZMtIiIiIjNiskVERERkRky2iIiIiMyIyRYRERGRGTHZIiIiIjIjJltEREREZsRki4iIiMiM/h96OTYvh5lgoQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "idx = 40\n", "latitude1 = sc14_df['Latitude'].iloc[idx]\n", "longitude1 = sc14_df['Longitude'].iloc[idx]\n", "usflux1 = float(sc14_df['USFLUX'].iloc[idx])\n", "radius1 = sc14_df['Radius'].iloc[idx]\n", "tilt1 = sc14_df['Tilt'].iloc[idx]\n", "Br1 = np.zeros((grid_sft['colatitude'].size, grid_sft['longitude'].size))\n", "Br1 = inject_bipole_flux_normalized(grid_sft.copy()['colatitude'], grid_sft.copy()['longitude'],\n", " lat=latitude1, lon=longitude1,flux_Mx=usflux1*1e16, \n", " tilt_deg=tilt1, sep_deg=3*radius1, apply_hale=True)\n", "plt.figure(figsize=[7,3])\n", "plt.pcolormesh(np.rad2deg(grid_sft.copy()['longitude']),90 - np.rad2deg(grid_sft.copy()['colatitude']),Br1,cmap='bwr',vmin=-1,vmax=1)\n", "plt.colorbar()\n", "plt.yticks(np.arange(-90,91,45))\n", "plt.xticks(np.arange(0,361,90))\n", "plt.title('Bipole model for BMR at phase {0}'.format(sc14_df['Phase'].iloc[idx]))\n", "plt.xlabel('Longitude (degrees)')\n", "plt.ylabel('Latitude (degrees)')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### To-Do List\n", "\n", "1. **Add BMR Modelling**\n", " - Implement the BMR (Bipolar Magnetic Region) modeling functionality.\n", " - Integrate BMR modeling into the Surface Flux Transport (SFT) model.\n", " - Provide users with an option to enable or disable BMR modeling.\n", "\n", "2. **BMR Data Processing**\n", " - Process BMR properties from various sources (RGO/HMI).\n", " - Create standardized tables for BMR modeling input.\n", " - Ensure compatibility of data formats across different sources.\n", "3. **Date assimilation**\n", " - Develop magnetogram data assimilation with interpolation.\n", " - Cases for different sources HMI or any other Stellar processed data.\n", " - Calibrate fluxes and add as a source term to the model. " ] } ], "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": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 4 }