- {
- “cells”: [
- {
“cell_type”: “markdown”, “id”: “87c27add-caff-4614-8fe3-5791ab80e1dc”, “metadata”: {
“editable”: true, “slideshow”: {
“slide_type”: “”
}, “tags”: []
}, “source”: [
“# Adjoint optimization of an integrated bandpass filtern”, “n”, “In this notebook, we will use broadband optimization to design a bandpass filter in an integrated photonic device.n”, “n”, “In short, this device takes in broadband light through a waveguide and encourages transmission to the output waveguide for a certain frequency range, while suppressing transmission outside of this range.n”, “<!– n”, “<img src="img/adjoint_9.png" width=400 alt="Schematic of the waveguide division multiplexer"> –>n”, “n”, “<img src="img/adjoint_17.png" width=400 alt="Schematic of the bandpass filter ">n”, “n”, “If you are unfamiliar with inverse design, we also recommend our [intro to inverse design tutorials](https://www.flexcompute.com/tidy3d/learning-center/inverse-design/) and our [primer on automatic differentiation with tidy3d](https://www.flexcompute.com/tidy3d/examples/notebooks/AdjointPlugin1Intro/).n”
]
}, {
“cell_type”: “code”, “execution_count”: 1, “id”: “77c1e025-acd7-4e75-a5ce-4a0134a69e79”, “metadata”: {
“editable”: true, “slideshow”: {
“slide_type”: “”
}, “tags”: []
}, “outputs”: [], “source”: [
“import autograd as agn”, “import autograd.numpy as npn”, “n”, “import matplotlib.pylab as pltn”, “n”, “import tidy3d as tdn”, “import tidy3d.web as web”
]
}, {
“cell_type”: “markdown”, “id”: “4cffcb65-9591-45ce-bd2b-c485e856d0b8”, “metadata”: {}, “source”: [
“## Setupn”, “n”, “First, we define some parameters that set up our optimization, such as the frequency points we are interested in as well as the geometric, material, and source parameters.”
]
}, {
“cell_type”: “code”, “execution_count”: 2, “id”: “3ae4ea7e-8cae-47f8-93a7-e6ffde9d018f”, “metadata”: {}, “outputs”: [], “source”: [
“wvl_min, wvl_max = 0.8, 1.2n”, “fmin, fmax = td.C_0 / wvl_max, td.C_0 / wvl_minn”, “n”, “num_freqs = 51n”, “freqs = np.linspace(fmin, fmax, num_freqs)n”, “n”, “freq0 = np.mean(freqs)n”, “lambda0 = td.C_0 / freq0n”, “fwidth = freq0 / 20n”, “run_time = 50 / fwidthn”, “n”, “wvl0 = td.C_0 / freq0”
]
}, {
“cell_type”: “markdown”, “id”: “89b954c8-14ba-4b7e-bf06-167fe3188289”, “metadata”: {}, “source”: [
“We will use a photonic integrated circuit with a 2D design region, so we set up some parameters to define that region.”
]
}, {
“cell_type”: “code”, “execution_count”: 3, “id”: “74107971-385d-4e77-b186-d4379f56b1ed”, “metadata”: {}, “outputs”: [], “source”: [
“size_design_x = 10 * wvl0n”, “size_design_y = 5 * wvl0n”, “n”, “width_wg = 0.4 * wvl0n”, “n”, “length_wg = 2 * wvl0n”, “n”, “size_buffer = 1.5 * wvl0”
]
}, {
“cell_type”: “markdown”, “id”: “ef28f0f6-7423-4791-9e04-f7f996959599”, “metadata”: {}, “source”: [
“And then some positions and length scales to help us keep track of things later on.”
]
}, {
“cell_type”: “code”, “execution_count”: 4, “id”: “b626a5a1-5a67-4909-8872-540a40b4bd63”, “metadata”: {}, “outputs”: [], “source”: [
“size_sim_x = length_wg + size_design_x + length_wgn”, “size_sim_y = size_buffer + size_design_y + size_buffern”, “n”, “center_wg_in_x = -size_sim_x / 2 + length_wg / 2n”, “center_wg_in_y = 0n”, “n”, “center_wg_out_x = +size_sim_x / 2 - length_wg / 2n”, “center_wg_out_y = 0n”, “n”, “center_design_x = 0n”, “center_design_y = 0”
]
}, {
“cell_type”: “markdown”, “id”: “90aedfcb-6d2f-406f-abf5-7829360f6f30”, “metadata”: {}, “source”: [
“Our material will just be a simple dielectric with relative permittivity of 4.”
]
}, {
“cell_type”: “code”, “execution_count”: 5, “id”: “7608f6e1-34b7-4232-abdc-c47eb5cffbd2”, “metadata”: {}, “outputs”: [], “source”: [
“eps_mat = 4.0n”, “mat = td.Medium(permittivity=eps_mat)”
]
}, {
“cell_type”: “markdown”, “id”: “cdcb1842-a9f6-47c8-bafc-1a8eeb897d96”, “metadata”: {}, “source”: [
“Next, we define some discretization parameters for our simulation and design region.”
]
}, {
“cell_type”: “code”, “execution_count”: 6, “id”: “511333d4-a136-4d46-bd3a-5b3a36e53c4d”, “metadata”: {}, “outputs”: [], “source”: [
“min_steps_per_wvl = 25n”, “dl_design_region = 0.015”
]
}, {
“cell_type”: “code”, “execution_count”: 7, “id”: “f8e1ee66-d0e1-4572-9a29-95de19a18793”, “metadata”: {}, “outputs”: [], “source”: [
“nx = int(np.ceil(size_design_x / dl_design_region))n”, “ny = int(np.ceil(size_design_y / dl_design_region))”
]
}, {
“cell_type”: “markdown”, “id”: “e8034d36-ef07-4211-8d46-61af5dd210fb”, “metadata”: {}, “source”: [
“### Static Componentsn”, “n”, “In the next step, we will define the "static" tidy3d simulation components that do not change over the course of optimization. For example, the sources, monitors, and many of the structures.n”, “n”, “We’ll put these into a base simulation, which we can easily update with our optimizing components later.”
]
}, {
“cell_type”: “code”, “execution_count”: 8, “id”: “a6de18cc-8fd2-4355-bfa2-5d4654002041”, “metadata”: {}, “outputs”: [], “source”: [
“waveguide_in = td.Structure(n”, “ geometry=td.Box(n”, “ center=(center_wg_in_x - length_wg, center_wg_in_y, 0),n”, “ size=(3 * length_wg, width_wg, td.inf),n”, “ ),n”, “ medium=mat,n”, “)n”, “n”, “waveguide_out = td.Structure(n”, “ geometry=td.Box(n”, “ center=(center_wg_out_x + length_wg, center_wg_out_y, 0),n”, “ size=(3 * length_wg, width_wg, td.inf),n”, “ ),n”, “ medium=mat,n”, “)n”, “n”, “design_region_static = td.Structure(n”, “ geometry=td.Box(n”, “ size=(size_design_x, size_design_y, td.inf),n”, “ center=(center_design_x, center_design_y, 0),n”, “ ),n”, “ medium=td.Medium(permittivity=np.mean([1, eps_mat])),n”, “)”
]
}, {
“cell_type”: “code”, “execution_count”: 9, “id”: “49a4469b-1b78-4b35-93af-b3b5af7eaae0”, “metadata”: {}, “outputs”: [], “source”: [
“mode_plane_size = 5 * width_wgn”, “num_modes = 1n”, “mode_spec = td.ModeSpec(num_modes=num_modes)n”, “mode_index = 0n”, “n”, “src_mode = td.ModeSource(n”, “ size=(0, mode_plane_size, td.inf),n”, “ center=(center_wg_in_x, center_wg_in_y, 0),n”, “ direction="+",n”, “ mode_spec=mode_spec,n”, “ mode_index=mode_index,n”, “ num_freqs=10,n”, “ source_time=td.GaussianPulse(n”, “ freq0=freq0,n”, “ fwidth=fwidth,n”, “ ),n”, “)n”, “n”, “mnt_mode = td.ModeMonitor(n”, “ size=(0, mode_plane_size, td.inf),n”, “ center=(center_wg_out_x, center_wg_out_y, 0),n”, “ freqs=freqs,n”, “ mode_spec=mode_spec,n”, “ name="mode",n”, “)n”, “n”, “mnt_field_0 = td.FieldMonitor(n”, “ size=(td.inf, td.inf, 0), center=(0, 0, 0), freqs=[freq0], name="field_single"n”, “)n”, “n”, “mnt_field_all = mnt_field_0.updated_copy(freqs=freqs)”
]
}, {
“cell_type”: “code”, “execution_count”: 10, “id”: “8355e7d6-24ea-4abd-8a76-94a852f73353”, “metadata”: {}, “outputs”: [], “source”: [
“# mesh override structure over the design region helps keep the resolution constant across this spacen”, “override_structure_design = td.MeshOverrideStructure(n”, “ geometry=design_region_static.geometry,n”, “ dl=3 * [dl_design_region],n”, “)n”, “n”, “sim_base = td.Simulation(n”, “ size=(size_sim_x, size_sim_y, 0),n”, “ structures=[waveguide_in, waveguide_out, design_region_static],n”, “ sources=[src_mode],n”, “ monitors=[mnt_mode],n”, “ grid_spec=td.GridSpec.auto(n”, “ wavelength=wvl0,n”, “ min_steps_per_wvl=min_steps_per_wvl,n”, “ override_structures=[override_structure_design],n”, “ ),n”, “ boundary_spec=td.BoundarySpec.pml(x=True, y=True, z=False),n”, “ run_time=run_time,n”, “ symmetry=(0, -1, 0),n”, “)”
]
}, {
“cell_type”: “code”, “execution_count”: 11, “id”: “353dc3d1-a210-4d85-8205-bc4e026fbe5d”, “metadata”: {}, “outputs”: [
- {
- “data”: {
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”, “text/plain”: [
“<Figure size 1000x400 with 3 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}
], “source”: [
“_, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(10, 4))n”, “sim_base.plot(z=0, ax=ax1)n”, “sim_base.plot_eps(z=0, ax=ax2)n”, “plt.show()”
]
}, {
“cell_type”: “markdown”, “id”: “95b1ecb6-68a7-47b4-830d-a840c285ebe4”, “metadata”: {}, “source”: [
“## Design Region Parameterizationn”, “n”, “Next, we define the functions that allow us to generate our design region using topology optimization.n”, “n”, “We’ll apply several functions that enable us to filter and project our optimization parameters into a permittivity grid, and then turn this permittivity grid into a structure that can be added to our base simnulation as the optimization progresses.”
]
}, {
“cell_type”: “code”, “execution_count”: 12, “id”: “a3ad0889-cbdb-4c0e-80f6-68cbe93143fe”, “metadata”: {}, “outputs”: [], “source”: [
“from tidy3d.plugins.autograd import rescale, make_filter_and_projectn”, “n”, “# radius of the circular filter (um) and the threshold strengthn”, “radius = 0.120 # <= larger radius = bigger feature sizesn”, “beta = 50 # <= higher beta = more binarizedn”, “beta_penalty = 10n”, “n”, “filter_project = make_filter_and_project(radius, dl_design_region)n”, “n”, “n”, “def get_density(params: np.ndarray, beta: float) -> np.ndarray:n”, “ """Get the material density values (0, 1) array as a function of the parameters (0, 1)"""n”, “ return filter_project(params, beta)n”, “n”, “n”, “def get_eps(params: np.ndarray, beta: float) -> np.ndarray:n”, “ """Get the permittivity values (1, eps_mat) array as a function of the parameters (0, 1)"""n”, “ processed_params = get_density(params, beta)n”, “ eps = rescale(processed_params, 1, eps_mat)n”, “ return epsn”, “n”, “n”, “def get_design_region(params, beta) -> td.Structure:n”, “ """Get the design region evaluted at a set of parameters."""n”, “n”, “ xmin = center_design_x - size_design_x / 2.0n”, “ xmax = center_design_x + size_design_x / 2.0n”, “ ymin = center_design_y - size_design_y / 2.0n”, “ ymax = center_design_y + size_design_y / 2.0n”, “n”, “ coord_bounds_x = np.linspace(xmin, xmax, nx + 1)n”, “ coord_bounds_y = np.linspace(ymin, ymax, ny + 1)n”, “n”, “ coord_centers_x = 0.5 * (coord_bounds_x[1:] + coord_bounds_x[:-1])n”, “ coord_centers_y = 0.5 * (coord_bounds_y[1:] + coord_bounds_y[:-1])n”, “n”, “ coords = dict(x=coord_centers_x, y=coord_centers_y, z=[0])n”, “n”, “ eps = get_eps(params, beta=beta).reshape((nx, ny, 1))n”, “ permittivity = td.SpatialDataArray(eps, coords=coords)n”, “ medium = td.CustomMedium(permittivity=permittivity)n”, “ return design_region_static.updated_copy(medium=medium)n”, “n”, “n”, “def get_sim(params, beta) -> td.Simulation:n”, “ """Get the design region evaluted at a set of parameters."""n”, “ design_region = get_design_region(params=params, beta=beta)n”, “ new_structures = list(sim_base.structures)n”, “ new_structures[-1] = design_regionn”, “ return sim_base.updated_copy(structures=new_structures)”
]
}, {
“cell_type”: “code”, “execution_count”: 13, “id”: “a431a13e-1c1a-43ab-8742-83abe417c8a0”, “metadata”: {}, “outputs”: [], “source”: [
“# get simulation at a set of starting parameters and try it outn”, “params0 = np.random.random((nx, ny))n”, “sim0 = get_sim(params0, beta=beta)”
]
}, {
“cell_type”: “code”, “execution_count”: 14, “id”: “382022c3-2a0d-40db-9398-abc0f6f3fb7a”, “metadata”: {}, “outputs”: [
- {
- “data”: {
“image/png”: 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rycnJvPLKK0SjUZ566qluz/X8889z+eWXM23aNK699lo2b97Myy+/zO23335AyzJJkiTpyF555RWSk5O55ZZbut0+fvx4/H5/t3ajPzZvv/02mzdv5oEHHjjTh8Kjjz7Kc889xx133MHw4cP59NNPuf7669FoNFx77bWH3TcWizFz5kw2btzIr371K/F3cOLEiaxbt46ePXuKbb/++mtmz57NxIkT+ctf/kJpaSm/+c1vaG5uZs6cOaf6ZUrSmXEGK6dL0kFVV1crN910k5KSkqKYTCalR48eys9//nMlGAwqirK3ZdjB2oopyp4WYX369FEMBoOSlpam3HPPPUpHR4e4v7KyUrntttuUwsJCxWw2K4mJicqkSZOUb7/9Vmzzr3/9S5k1a5aSmZmpGI1GJTMzU7nuuuuUsrKywx770e4XCoWU3//+90q/fv0Uk8mkJCQkKEOHDlWeeuopxeVyddv29ddfVwYPHiy2mzBhgvLNN9+I+xsbG5WZM2cqcXFxCiDah+3fMkz13nvvicdLTExUfvaznym1tbXdtrn55psVm812wOt74oknlKP52lixYoUyatQoxWKxKJmZmcp//dd/KQsWLDjgeLxer3L99dcr8fHxCnDY9mETJkw4ZPuvJ5544ojHdCTRaFT53e9+p+Tl5SlGo1Hp16+f8uabbx6wndpOraqqqtvt7e3tyr/9278pSUlJitVqVSZMmHDIz+gnn3yiDBo0SDGZTEp2drby2GOPKaFQ6IRfgyRJ5y+v13umD+GMOVTrzLPBibTOPJlqa2sVg8Gg/PznPxe3xWIxZdy4cUp2dna31pwH89577x3QjrW5uVmJj49Xrrvuum7bFhcXKxdccIESDofFbY8++qii0WiUbdu2naRXJEk/LjLoliRJkiRJ+hGpra1VbrvtNiUjI0MxGo1Kfn6+cvfddx9w8Xnx4sXKPffco6SkpCjx8fFi/7/+9a9KcXGxYjQalYyMDOXee+/tdvFZURSlrKxMufLKK5W0tDTFZDIpWVlZyk9/+lOls7NTbLNw4ULlwgsvVJxOp2Kz2ZRevXopDz/88BGP/2j2CwQCyuOPP64UFhYqRqNRyc7OVn71q18pgUDggMd74403lOHDhysWi0WJj49Xxo0bpyxYsEBRFEXJy8s74ELskS4+v//++8qQIUMUs9msJCUlHfbic21trTJr1izFZrMpycnJyn/8x38cMQBVFEWZN2+ecskll4gx7NGjh/L000932/dgF5MPF4CrF31PxcXnv/71rwqgbNmypdvtb7/9tgIoy5YtO+z+V199tZKWlqZEo9Fut995552K1WoV47plyxYFUP761792266urk4BlGeeeeaEXock/VjJ9HJJkiRJkqQfifr6ekaMGCHWx/bp04e6ujo+/PBDfD5ft1Tpe++9l5SUFB5//HFRD+TJJ5/kqaeeYsqUKdxzzz3s2LGDOXPmsGbNGlasWIHBYCAUCjF9+nSCwSC/+MUvSE9Pp66uji+++ILOzk6cTidbtmzh0ksvZeDAgTz99NOYTCZ27tzJihUrDnv8R7NfLBbj8ssvZ/ny5WIpWWlpKS+99BJlZWXMmzdPbPvUU0/x5JNPMmbMGJ5++mmMRiOrV69m0aJFTJs2jT/+8Y/84he/wG638+ijjwKQlpZ2yOObO3cut956K8OHD+fZZ58Vy6xWrFhBSUlJt2Vs0WiU6dOnM3LkSP7f//t/fPvtt7zwwgsUFhZyzz33HPZ9mDt3Lna7nQcffBC73c6iRYt4/PHHcbvdoi7Jo48+isvlora2lpdeegkAu91+yMe86667DlhCNX/+fN566y1SU1PFba2trYc9NlVcXJyoOVJSUoLNZjtgmZPaVaOkpOSwy+tKSkoYMmTIAW1VR4wYwd/+9jfKysoYMGAAJSUlwJ46M/vKzMwkOztb3C9J55wzHfVLkiRJkiRJe9x0002KVqs96PKUWCymKMreme6xY8d2mzltbm5WjEajMm3atG4zji+//LICKK+//rqiKIpSUlJyQCrw/l566SUFUFpaWo7p+I9mvzfeeEPRarUHzJ6++uqrCqCsWLFCURRFKS8vV7RarXLFFVccMIOqvheKcuj08v1nukOhkJKamqr0799f8fv9YrsvvvhCAZTHH39c3KbOKj/99NPdHnPw4MHK0KFDD/8mKIri8/kOuO2uu+7qNuurKCeWXl5eXq44nU5l6tSp3T4HHGI2fP+ff/7zn92Oo0ePHgc8R1dXlwIov/71rw97LDabTbntttsOuP3LL79UAGX+/PmKoijK888/rwDK7t27D9h2+PDhyqhRo4725UvSWUVWL5ckSZIkSfoRiMVizJs3j8suu+yAmUA4sM3iHXfc0a3Q47fffksoFOKBBx7oNuN4xx134HA4+PLLLwFwOp0ALFiwAJ/Pd9BjUWd8P/300wM6aBzO0ez3wQcf0LdvX/r06UNra6v4UYuAqi02582bRywW4/HHHz9gBvVYW07CnnaNzc3N3HvvvZjNZnH7zJkz6dOnj3h/9nX33Xd3+/e4ceOorKw84nNZLBbx/x6Ph9bWVsaNG4fP52P79u3HfOz76+rq4oorriAhIYF33nmn2+fgeLp4+P1+Meu9L/V98vv9hz2eo91f/e+htj3S80jS2Uqml0uSJEmSJP0ItLS04Ha76d+//1FtX1BQ0O3f1dXVAPTu3bvb7UajkR49eoj7CwoKePDBB3nxxRd56623GDduHJdffjk33HCDCMh/+tOf8j//8z/cfvvt/PrXv2by5MlceeWVXHXVVQcEwPs6mv3Ky8vZtm0bKSkpB32M5uZmACoqKtBqtRQXFx/V+3Ekh3p/APr06cPy5cu73WY2mw84xoSEBDo6Oo74XFu2bOGxxx5j0aJFuN3ubvcdbavMw7njjjuoqKhg5cqVJCUldbvveLp4WCyWg7ZEDQQC4v6Tsb/630Nte6TnkaSzlQy6JUmSJEmSzkInEqC88MIL3HLLLXz66acsXLiQ++67j2effZbvv/+e7OxsLBYLS5cu5bvvvuPLL79k/vz5vPfee1x00UUsXLiw28zq/sd0pP1isRgDBgzgxRdfPOhj5OTkHPfrOpkO9RqPpLOzkwkTJuBwOHj66acpLCzEbDazfv16HnrooWPKHDiYP/3pT7zzzju8+eabDBo06ID7Gxsbj+pxnE6n+AxlZGTw3XffoShKtyyChoYGYM+a68PJyMgQ2+5r//0zMjLE7fuPc0NDg1hDLknnGpleLkmSJEmS9COQkpKCw+Fg8+bNx7V/Xl4eADt27Oh2eygUoqqqStyvGjBgAI899hhLly5l2bJl1NXV8eqrr4r7tVotkydP5sUXX2Tr1q389re/ZdGiRSL9+1COtF9hYSHt7e1MnjyZKVOmHPCjzkQXFhYSi8XYunXrYZ/vaFPND/X+qLft//4cr8WLF9PW1sbcuXO5//77ufTSS5kyZQoJCQkHbHusafLLli3jP//zP3nggQf42c9+dtBtMjIyjurnvffeE/sMGjQIn8/Htm3buj3W6tWrxf2HM2jQINavX3/ABYXVq1djtVrp1atXt8dZu3Ztt+3q6+upra094vNI0tnqvJrpjsVi1NfXExcXd1xrgSRJkqTzm6IoeDweMjMzD5tiK0nHQ6vVMnv2bN58803Wrl17wLru/Wch9zdlyhSMRiN//vOfmTFjhtj2H//4By6Xi5kzZwLgdruxWq3o9XtPAwcMGIBWqxVpv+3t7SQmJnZ7fDUgOlhqsOpo9rvmmmv46quv+Pvf/86dd97ZbVu/308sFsNmszF79mweeughnn76aT788MNuv3P7vhc2m43Ozs5DHpNq2LBhpKam8uqrr3LbbbeJdcVff/0127Zt4/HHHz/iYxwNdYZcURRxWygU4pVXXjlgW5vNdtTp5g0NDVxzzTWMHTtWVEA/mG+++eaoHq9fv37i/2fNmsUvf/lLXnnlFV5++WVx/K+++ipZWVmMGTOm23G4XC4KCwsxGAwAXHXVVXz44Yd8/PHHXHXVVcCeKuoffPABl112mXiv+/XrR58+ffjb3/7GXXfdJd6rOXPmoNFoxL6SdK45r4Lu+vp6/vKXv3T7I6PRaNBqtSiKQldXF6FQiEgkctqPzWg0ij8msViMUCh02o9Br9d3e2+CwWC3Pxing0aj6VZcIxKJyPH4/8nxkOMhx2OvUzkeGo2GhISEQwY3v/vd76ipqSE7O/ukPJ8k7et3v/sdCxcuZMKECaKdVkNDAx988AHLly/v1tJqfykpKTz88MM89dRTzJgxg8svv5wdO3bwyiuvMHz4cG644QYAFi1axL//+79z9dVX06tXLyKRCG+88QY6nY6f/OQnADz99NMsXbqUmTNnkpeXR3NzM6+88grZ2dmHbR11NPvdeOONvP/++9x999189913XHjhhUSjUbZv387777/PggULGDZsGEVFRTz66KM888wzjBs3jiuvvBKTycSaNWvIzMzk2WefBWDo0KHMmTOH3/zmNxQVFZGamiqKsu3LYDDw+9//nltvvZUJEyZw3XXXiZZh+fn5/PKXvzzeYetmzJgxJCQkcPPNN3Pfffeh0Wh44403DvodNXToUN577z0efPBBhg8fjt1u57LLLjvo49533320tLTwX//1X7z77rvd7hs4cCADBw4Ejm9Nd3Z2Ng888ADPP/884XCY4cOHM2/ePJYtW8Zbb73VLdX+4Ycf5n//93+pqqoiPz8f2BN0jxo1iltvvZWtW7eSnJzMK6+8QjQa5amnnur2XM8//zyXX34506ZN49prr2Xz5s28/PLL3H777Qe0LJOkc8V5FXTHxcWh1+uxWq3drpaqJ4wpKSkkJyefkdmLUCgkrnQ6nc5ufThPl1gsRltbG7DnpFotpnK6uVwuMSZJSUlyPJDjIcdjLzkee5zK8YhGo7S2th406FZTJ+Pi4k7a80nSvrKysli9ejX//d//zVtvvYXb7SYrK4uLL74Yq9V6xP2ffPJJUlJSePnll/nlL39JYmIid955J7/73e/ErOQFF1zA9OnT+fzzz6mrq8NqtXLBBRfw9ddfM2rUKAAuv/xydu3axeuvv05rayvJyclMmDCBp5566rC/b0ezn1arZd68ebz00kv83//9H5988glWq5UePXpw//33i1Rk2BPEFxQU8Je//IVHH30Uq9XKwIEDufHGG8U2jz/+ONXV1fzhD3/A4/EwYcKEgwbdALfccgtWq5XnnnuOhx56CJvNxhVXXMHvf//7w17QOBZJSUl88cUX/Md//AePPfYYCQkJ3HDDDUyePLlbxXDY02t9w4YN/POf/+Sll14iLy/vkEF3S0sL0WiUBx988ID7nnjiCRF0H6/nnnuOhIQEXnvtNebOnUvPnj158803uf7664+4r06n46uvvuJXv/oVf/7zn/H7/QwfPpy5c+ceULju0ksv5eOPP+app57iF7/4BSkpKTzyyCMnLdNAkn6MNMrpnqo5g9xuN7///e+x2+3iD08wGCQSiaDVajGbzZhMptN+IhsKhWhtbRWzNpFIhOTk5NN6IquewIbDYUwmE4FAAIfDcdpPLD0eD263G7PZTDAYxGAwyPGQ4yHH4/8nx2OPUz0eoVCIhoYGtFrtAe9tOBzmkUceweVy4XA4TsrzSZIkSZJ0bjuvF6SpAbdOp8NgMJCQkEA4HKatre2EK0seLfUE1mAwkJycTHJyMgaDgdbW1tOWsrnvCWxycjJJSUk4HA7cbjcej+e0HAPsDSgcDgdJSUkkJyfL8ZDjIcfj/yfHY48fy3hIkiRJkiQdrfM26FYDbr1eL2Zo1BPJ03Uiu+8JrDpbpdVqSUpKOm0nsvufwKrvRVxc3Gk9kd03oFBnq4xGoxwPOR5yPJDjofqxjIckSZIkSdKxOGuD7ueeew6NRsMDDzxwzPuqxYf0en23okRw+k5kD3YCqzpdJ7KHOoFVna4T2YMFFCo5HnvJ8dhDjsdecjz2Ol3jcSYK10mSJEmSdHY7K4PuNWvW8Nprrx1XwQitVkssFjtowK061SeyhzuB3fc4T+WJ7JFOYFWn+kT2cAGFSo7HXnI89pDjsZccj71O9XgEg8HTlsovSZIkSdKBjnbi9YMPPqBPnz6YzWYGDBjAV199dXoO8BDOuqDb6/Xys5/9jL///e8kJCQc8/5qi7BDBdyqU3UiezQnsKpTdSJ7tCewqlN1Ins0AYVKjsdecjz2kOOxlxyPvU7VeOxbdFOSJEmSpNPvaCdeV65cyXXXXce//du/UVJSwuzZs5k9ezabN28+TUd6oLPu7OHnP/85M2fOPKoehMFgELfb3e1HUZRuvV0P52SfyB7LCazqZJ/IHusJrOpkn8geS0ChkuOxlxyPPeR47CXHY6+TPR771gA52r8fkiRJkiSdPMcy8fqnP/2JGTNm8Ktf/Yq+ffvyzDPPMGTIEF5++eXTdLQHOqvOHt59913Wr1/PmjVrjmr7Z599lqeeeqrbbY888sgxPad6Itva2kpbW9txt+c5nhNYlXoi29bWJnpeHk97nuM9gVWpJ/9ut7vbv4/V8QQUKjkee8nx2EOOx15yPPY6WeOxb8BtMpkIh8PH9TjnilgsRn19PXFxcQftYy5JkiT9eCmKgsfjITMz87jODwKBwEnJZFMU5YC/ISaT6bCZyPtOvP7mN7857OOvWrXqgH7206dPZ968ecd9zCfqrAm6a2pquP/++/nmm28wm81Htc/DDz/c7Q13u93MmTPnmJ/7RE9kT+QEVnWiJ7InegKrOtET2RMJKFRyPPaS47GHHI+95HjsdaLjEQqFiEajh60Bcr6pr6/nL3/5y0Fn/BVFoaOjA0VRDrm/mi2gFjQ9Fiey7740Gg0mk4lYLHbMJ48nsu/+jEYjWq2WYDB42PfsZO+7Lzkee8nx2EOOx15n83hoNBoSEhLEd3U0GhX3/e53v6Ompobs7OxjOpZAIIDFYjmmfQ7Fbrfj9Xq73fbEE0/w5JNPHnT7Y514bWxsJC0trdttaWlpNDY2HtfxngxnTdC9bt06mpubGTJkiLgtGo2ydOlSXn75ZYLBIDqdrts+R7piciyO90T2ZJzAqo73RPZkncCqjvdE9mQEFCo5HnvJ8dhDjsdecjz2Ot7xiEQiMuA+iLi4OPR6PVar9YDPh6Io5OfnH/C3eH8+n4+uri5sNhtWq/Wonvd49jmcSCSCy+VCp9PhcDiO6rN+PPscTiwWw+12E41GcTqdR7V04Xj2ORI5HnvI8dhLjsdeZ+t4BAIBWltbgT0tkdVZZXXp2fGcZ5zMIqler5eamhocDoe47VB/a49n4vXH6KwJuidPnkxpaWm322699Vb69OnDQw89dMQ/8vtSFKXbesdYLIaiKEeVNuh0Ouno6KC5uZmEhITDpteFw2E6OjrQ6/U4HI6T1mrG4XB0OwaDwXDIbdWZh0gkItY/nIxfGpPJhNVqpbOzk0gkgs1mO+z2XV1deL1e7HY7JpPppP3iyvHYQ47HXnI89pLjscexjod60qbVajEYDN3+XpzIrMm5QP0Mqe+NKhaLEYvFMJlMR7xQYrVaMZlMuN1uTCbTEU/+PB4PwWCQxMTEE74gtS+z2Uxrayt+v/+IF5lCoRCdnZ2YzeYTviC1L6vVSltbG16v94gXmdQLUrBnxuZEL0jtewxyPPaQ47GXHI+9x3A2jofP50Or1WI0GrvFSGqscyLLgzQazQntrygKiqLgcDi6Bd2HcjwTr+np6TQ1NXW7rampifT09OM+7hN11gTdcXFx9O/fv9ttNpuNpKSkA24/HPWE6WBBdzAY7JZ+cSh2u51QKITb7cZoNB70g6emgagnIMFg8KiP8WhYLBZCoRBdXV0ijWZ/iqIQCoXQarXY7Xai0ehRvb6jpdPpsNlshEKhwxaoi0QihMNhbDYbOp2OQCBw0o4B5Hio5HjsJcdjLzkeexzreGi1WnQ6nWwRdoocbQbCycwA2d/RZoSczAyQ/R1tRsjJzgDZnxyPPeR47CXHY6+zcTz0ej06ne6U1N440aAbju0C9vFMvI4ePZp//etf3dqKffPNN4wePfq4j/lEnTVB98nS2dlJXl5et/SEcDhMMBjkkksuwel0nsGjkyRJks40l8vFV199hclkOmBm/mRfFDnTnnvuOR5++GHuv/9+/vjHP57W5z7SieypPIFVHelE9lQGFKojBRanOqBQyfHYQ47HXnI89jrbxiMuLu6kX0BXnYyg+1gczcTrTTfdRFZWFs8++ywA999/PxMmTOCFF15g5syZvPvuu6xdu5a//e1vp+2493dWB92LFy8+5n1isRh6vf6AX0p1/UdiYuJJOjpJkiTpbKXX6zEYDAf8rThZafc/Bkfb7/RUOtSJ7Ok4gVUd6kT2dAQUqkMFFqcroFDJ8dhDjsdecjz2OpvG41T+rTrdQffR2L17d7fP4JgxY3j77bd57LHHeOSRR+jZsyfz5s07puzok+2sDrolSZIkSTp2+/Y7PVLrlVNt/xNZ9f9Pxwmsav8TWYfDQVtb22kJKFT7BxZJSUm43e7TFlCo5HjsIcdjLzkee8nx+HEE3ftPvB5sIvbqq6/m6quvPj0HdBRO/W+JJEmSJEk/Kvv2Oz2cYDCI2+3u9nMqxMXF4XA4xHOczhNYlXoiu++ayNMVUKjUwEKv19Pa2kooFDqtAYVKjscecjz2kuOx1/k+Hlqt9oR/zkfn56uWJEmSpPOU2u9UXft2OM8++yxOp1P85OTknIYjlCRJkn6s1JnuE/k5H8mgW5IkSZLOE2q/07feeuuo+p0+/PDDuFwu8VNTU3NKjmvfNZHqDJLH4zklz3Uo6oyROoMUiURoa2s7rRXs1TWqkUhEzOCpM3qnkxyPPeR47CXHY6/zfTxk0H18ZNAtSZIkSeeJffud6vV69Ho9S5Ys4c9//jN6vf6ANm0mk0mcWB5tT9VjtX8Ron1TN0/Xiez+RYhMJhPJycmEw+HTdiK7f1Eok8lEUlISBoPhtAYWcjz2kOOxlxyPveR4yKD7eMlCapIkSZJ0njiefqcHoyhKtxO7WCyGoiiEw+FjOp6uri68Xi92ux2TySROnE0mE1arlc7OTiKRCDab7Zge91iEw2E6OjrQ6/U4HI5uVX+dTicdHR00NzeTkJBwyk4WFUWho6ODSCRCQkICgHgvHA5Ht2PYv43dySTHYw85HnvJ8djrbBoPm812wPc0HFt/7EM5nwPnEyGDbkmSJEnaz7nUGmxfR9Pv9EjUk7aDBd3BYPCA2fJDiUQihMNhbDYbOp3ugB7oOp0Om81GKBRCURT0+pN/yhKLxQiFQphMJoxG40H72trtdkKhEG63G6PReNJPNhVFIRQKodVqsdvtRKPRA95Di8VCKBSiq6sLo9F4SgoRyfHYQ47HXnI89jrbxsPn8xGNRk/JeyGD7uMjg25JkiRJ2k84HBYncFJ3nZ2d5OXldVsTHg6HCQaDXHLJJTidzjN4dJIkSZLL5WLevHnY7fZuf8f2v1hwPGTQfXxk0C1JkiRJ+zEYDHi9XvR6/WlvBXO6Hay/6eHEYjH0ev0BFySi0ShOp5PExMSTeHSSJEnS8dBqtXi9XlJTU8WM98nI4pJB9/GRQbckSZIk7Uev12O320Vf6nM98JYkSZLOLUajEa/XS1tb20nt4a3Vak8o6D4Z68rPRrJ6uSRJkiQdhM1mO2PtYH7M5AyHJEnSj59WqyUhIeGkVzWX1cuPz3k3030qChtIkiRJ5yZ1hlud8T7a6t7nMpPJdM4WmpMkSTqXGAwGkpOTaW1tpa2tDYvFclIeV850H7vzLgLV6/X4fD6sVuuZPhRJkiTpLLBv4G0ymc7w0Zx5sVgMl8uF2WyWheYkSZJ+5IxGowi8j7Wt48Gc6Gz1+TrTfd6ll0ciEbq6umSqoCRJknTU4uLicDgcdHV1nelDOeNCoRA6nY7W1lbRp1aSJEn68VID76Nt6Xg4Mr38+JyXQbfNZpNr9CRJkqRjEhcXh81mO9OH8aPgcDgwGAwy8JYkSTpLGI3Gk9LSUQbdx+e8Sy8HsFqtmEwmsUZPpgtKkiRJR0MuTdpDq9WSlJREW1sbra2tsje3JEnSWeBk1LaS6eXH57wMuqH7Gj2r1SqL40iSJEnSMdg38O7o6MBut5/pQ5IkSZJOMRl0H5/zNuiGvYF3Z2fnSavmJ0mSJEnnCzXwbm5ulmnmkiRJ5wGtVnvSen6fT877dywuLg6TyXRSCgtIkiRJ0vlG7QV7vraBkSRJOp/INd3H57ye6YY9VVhDoRAGg+FMH4okSZIknZV8Pt+ZPgRJkiTpNJDp5cfnvA66Q6EQra2t6PV6zGbzmT4cSZIkSTrreDwevF6vrOwuSZJ0HpBB9/E5b4NuNeA2GAw4HA6CweCZPiRJkiRJOqt4PB7cbjd2u10WJJUkSToPyKD7+JyXQXckEqGzsxODwUBSUhKRSORMH5IkSZJ0FpB/L/ZSA26Hw4HJZCIQCJzpQ5IkSZIOIxaLnfBjyKD7+Jx3QbdGo8HlcmE2m0lKSpLV9yRJkqSjEgqFcLlcZ/owfhR8Ph/BYBCHw0FcXJysXC5JkvQjF4vFcLvdJ/w4Mug+Pudd0G0ymdDpdDLgliRJko6auiRJplCDXq+nq6uLxMRE0XpTkiRJ+vGKxWK0tbWdlG5NMug+Pudd0B2LxXA4HDLgliRJko7KvjVALBbLmT6cM06v12Oz2WTALUmSdBZQA+5wOIzT6Tzhx5N9uo/PeRd0h0Ih+UGRJEmSjsq+AXdSUpJct8yede1Wq/VMH4YkSZJ0BIqiiIA7OTn5pNQlkTPdx+e8C7olSZIk6WiEw2FcLpcIuOUF2z1kMTlJkqQfP0VR6OjoIBaLkZycjNFoPGnf3+dr4Hwi5BmEJEmSJO0nFovR0dEhA25JkiTprBQKhYhEIiLgPlnUme4T+TkWc+bMYeDAgTgcDhwOB6NHj+brr78+5PZz58494PnMZvOJvuwTJme6JUmSJGk/oVAIvV4vA25JkiTprKQoCgkJCSc14IbTn16enZ3Nc889R8+ePVEUhf/93/9l1qxZlJSU0K9fv4Pu43A42LFjx3E/56kgg25JkiRJ2o9GoyEhIUEG3JIkSdJZyWg0YjAYTvrjnu6g+7LLLuv279/+9rfMmTOH77///pBBt0ajIT09/biP8VSQZxOSJEmStB+j0fijuDIuSZIkScfjVF00Plnp5W63u9tPMBg84nNHo1Heffddurq6GD169CG383q95OXlkZOTw6xZs9iyZctJe/3HSwbdkiRJkrQfGXBLkiRJ0oFOVtCdk5OD0+kUP88+++whn7O0tBS73Y7JZOLuu+/mk08+obi4+KDb9u7dm9dff51PP/2UN998k1gsxpgxY6itrT0l78fRkunlkiRJkiRJkiRJ0hGdaJ9uRVEAqKmpweFwiNtNJtMh9+nduzcbNmzA5XLx4YcfcvPNN7NkyZKDBt6jR4/uNgs+ZswY+vbty2uvvcYzzzxz3Md9omTQLUmSJEmSJEmSJB3RyVrTrVYjPxpGo5GioiIAhg4dypo1a/jTn/7Ea6+9dsR9DQYDgwcPZufOncd9zCeDTC+XJEmSJEmSJEmSjuh0tww7mFgsdlRrwGHPOvDS0lIyMjJO+HlPhJzpliRJkiRJkiRJko7odFcvf/jhh7n44ovJzc3F4/Hw9ttvs3jxYhYsWADATTfdRFZWllgT/vTTTzNq1CiKioro7Ozk+eefp7q6mttvv/24j/lkkEG3JEmSJEmSJEmSdESnO+hubm7mpptuoqGhAafTycCBA1mwYAFTp04FYPfu3d3WmHd0dHDHHXfQ2NhIQkICQ4cOZeXKlYcsvHa6yKBbkiRJkiRJkiRJOqLTHXT/4x//OOz9ixcv7vbvl156iZdeeulYD+uUk0H3eWLjvT++D58kSWevC1755Zk+hFMqFoud6UOQJEmSpB+d0x10nytk0C1JkiRJ+wmFQhgMBoxG45k+FEmSJEk6ZpFI5JQ8rgy6j48MuiVJkiRpPxqNho6ODhl4S5IkSWelcDhMV1fXSf8bdrL6dJ9vZMswSZIkSdqP0WhEr9fT2tpKKBQ604cjSZIkScfEYDDg9XrxeDwn9XF/DC3DzkYy6JYkSZKk/Wg0GhISEjAYDDLwliRJks46er0eu92O2+3+UQXe56vzLr38fB5sSZIk6ehpNBqSkpJoa2ujtbWV5OTkM31IPwpGo1EWmpMkSToL2Gw29Ho9brcbAJ1Od8KPKdd0H5/zLug2mUynrLCAJEmSdG7RarXdAm+73X6mD+mM02q1uN1urFbrCa3r+zG7/vrrqaqqYt26dUQiEbEGUaPRYDAYyMnJ4d/+7d+46aabyMjIEO+D3++nq6uL9vZ2QqEQjY2NpKWlodPpMBqNrFixgq6uLnw+H0ajkRdffBGPx8Pjjz/OHXfcgdlspquri0GDBtHS0oLT6aSgoIBdu3aRnJzMY489xsCBA3E6nTgcDnQ6HRqNhnA4TFlZGdu2beNf//oXX375JW1tbVgsFiZNmkTfvn2ZM2cObrebaDQK7BlHo9HIhAkT+OlPf0rfvn2pqqriqaeeEifowWCQUCiEoihYLBYMBgNxcXFoNBqSk5PJzc1lzJgxGAwG/H4/jz76KIFAQFyU0Wq1WK1Wpk6dypVXXklCQgJtbW1UVVURHx/PzJkzyczMJBAIUFlZySWXXEIsFuOtt97ioosuQqvV0t7ezocffojb7eaee+7BaDQSiURwu92YzWYsFgsAra2tfPrpp3z77bdYrVYMBgNJSUmsWLGCdevWidcNe9JuL7vsMq6//nr69++P3W6npKSEL774AoPBQG5uLldffTUajYb4+HgMBgPBYJDdu3ezatUqli5dSp8+fdDr9RQVFZGamopGo8Hv92MymejXrx8Oh4PW1lZ+/etf880336DValEUBbvdTnZ2Ni+//DL9+/fv9rlTFAWPx8OVV17JDz/8QH5+Pq+99hqDBw/GZDIdEKxMnDiRJUuWiH8/8sgjPPHEExgMBmBPF4ZAIEBnZyehUIhIJILVasVoNIrz4YceeoiPPvqIUChEeno67777LllZWcRiMT7//HN+9atf4fP5UBQFnU6Hw+EgKSkJnU5HKBSiubmZSCRCXFwcL7/8Mj/5yU/QarVEIhFaWlpwu910dnaye/duUlJS2Lp1K263m9dee43W1lbi4uJYs2YN6enp6HQ6otEodXV1bNiwAUVRMJvN6HQ6fD4fffv2Ra/Xk5mZiU6nEwGkRqMhEomwdu1afvGLX7B9+3ai0Si9e/cmOTmZ2267DaPRyIYNG/j2229Zt24diqJgs9n4yU9+wn//93+jKAp6vZ7c3NyT8yXyIxIXFweA2+3GZDKd8OPJoPv4nDVB97PPPsvHH3/M9u3bsVgsjBkzht///vf07t37mB4nFovhcrkwm82yOI4kSZJ0RPsG3i6X60wfzhkXDAaJRqO0tbWRlJR0Tgbel1xyCZ988gkbNmwgGo2iKAoajQatViuCqy+//JJx48aRlJSE2WwG9gRNPp+PqqoqdDoddXV11NfX43Q62bx5M2VlZRQWFjJp0iQcDgdLly6ltLQUr9dLOBwWgVB6ejo+nw+dTofH4yE9PZ20tDRSUlIwGo2Ew2FisZgIOrRaLfn5+WRmZuJwOPB4PKxbt44ZM2Zw//33YzAYWL9+PUuWLCEQCAB7MhaMRiM7duxg4cKFBINBrFYrV111Fc3Nzej1ejweD2vXriU1NZWJEydSXFyM0+mkqqqKJUuWUFVVhcvlYtKkSQwbNowXXniB9957jx9++IFIJILBYCA+Pp6RI0cyYsQIdDodLS0tNDU1odPpxMUMm82G0WjE4XDg9/vJzMxEURQRhK5duxatVsvu3btJT0+noqKC7du3k5SUhF6vp62tjffff59FixaJ8UpOTiYjI4Py8vJumRk6nY6CggIuvPBCTCYTBoOBpqYmEajp9Xqys7PxeDz4fD7Ky8txu90ikI2Pj2fixIkAJCYm0tXVxebNm6mvr2fjxo14PB569OjBuHHjWLlyJXV1dd3e75aWFoLBIG+99RZPPPEERqMRjUaDoih4vV5WrVrF2rVrxUWb+fPni3NdvV4vxjwcDrNx48Zun9uUlBTx/4qiEA6HCYfD1NbWotPpSEhIIBQKodVqxWdLLRgJ0KNHD+Li4jCZTHg8HrF/LBbrFmgFAgFaWlqIRqNEo1E0Gg12u534+HjxO6LX60lJScHhcBAXF4fVasXlcnHppZfS2trK559/Lr5T3333Xe6++25sNhs6nY709HRGjBhBe3s7Xq8Xh8NBY2MjFRUVVFZWotFoaGpq4uabbyYlJQWTyURLSwv//u//zubNm8VFooKCAiZMmEDPnj2Jj4+nd+/e1NXVUVpaSjgcJikpiSFDhmAymbDZbCfp2+PHSQ2829vbT/ixZNB9fM6aoHvJkiX8/Oc/Z/jw4UQiER555BGmTZvG1q1bj+kXJRQKodPpRKqgDLwlSZKkI1ED78bGxjN9KGecoig4nU68Xq8IvM81Y8eOxWAwsHLlStra2sTtWq2WWCxGZ2cnmzZt4vHHH+eFF15g0KBBwJ4Z1EgkQmdnJ7t27SIuLo5wOIzX66W+vp6VK1fS3NxMcXExVquVESNGoNFo0Ol0dHV1YbVaiUQi9OzZk9bWVrKzs7FYLFgsFoqLi8Wsu6IoRCIRMdun1+uxWq2YzWYGDRpEJBIhPj6eCy+8UJzr3HXXXWzfvp2GhgbMZjP5+fn4fD4MBgNut5vm5mYKCgq48sorSUlJob29nerqanr27El6ejrjxo0jPT0drVZLUVERX3zxBVVVVZSXl1NcXExiYiIzZ86kT58+/OEPf2Dz5s1EIhFSU1O58MILcTqdWCwWzGYzqampYqbdYDCg0WjIzMyksLCQhoYG8Rq9Xi/ff/89y5cvJzExkaamJmKxGP/617/YsmULZrOZ3NxcVq5cyerVq8WMrNp9wOv1EggERFCr0WhIT0/nyiuvZMyYMVitVmBPQJKdnU0kEmHr1q00Nzfj9XppaGhgzZo1VFdX06tXL9LS0iguLiY7OxvYE4BXVFSg1+v5/PPPWb9+PYFAgJKSEjG7rtPpRMCjZg0EAgE++eQTZs+eTW5uLhaLBa1Wy+eff84bb7xBV1cXsViMSCRCVVUVdXV1xMfHo9frxU9DQ8NBl3mo7x3sCcybmppoamoiNTUVk8lEOBymo6OD+Ph4QqEQqampmM1mDAYDw4YNIzExEavVKmb51fdNo9FgNpvJyMhAURSam5u7XZCKRqPEx8eLgEoNvGOxGKFQCLPZTFJSkshA6Nu3Lxs3biQUCvH6668zevRoRo8eLfZzOp0oikIoFCIWi5GUlERJSQkfffQRpaWlhEIhSkpKeOCBByguLmbVqlXs3LmTcDgsLgQmJCRgsVgIBoNoNBqsViv5+fkkJSXh8XgYOHAgI0eOFFkjwWDw1Hyh/EjExcWdlNcog+7jc9YE3fPnz+/277lz55Kamsq6desYP378MT2WeiVVrtGTJEmSjpZWq8XhcJzpw/hR0Ov1JCcn09raSltb2zn3vmRkZHDJJZdQXFzMnDlz+Pjjj+ns7CQajYpgCOD777/nmWee4aOPPgL2zKKazWY2bdrE999/z+jRo8VM2po1awgEApSVlbFhwwYyMzOZOHEiubm5ZGVlEY1GCQQChEIhrr/+ehITE7HZbEQiEcaOHSsC67a2Npqbm8nOziY5OVlkG6gBeEJCAgMHDiQYDGKz2WhtbcXj8bBp0yaKi4u56qqruP7668nLy6Ouro6PPvqInTt3kpKSwpgxY8jPz0er1ZKdnU2/fv0YMmQIgUCA5ORktFotFRUV1NfXs2vXLlpbWwH47LPP6Nu3r0gXHzZsmJgNdTgc2O124uLi0Ov1RKNRbDYbzc3NIpBU6yf86le/4ttvv6WlpYWMjAz8fj8tLS0ig2DTpk3k5ORgtVrJyMigR48e9OzZE4/HQ0VFBX6/X6SR+/1+EXCrM+5Dhw7liSeeICcnh82bN2MymdBqtaSmpjJy5EjS09NFi6X29nb8fj8bNmygrKyMjo4OZsyYQWZmJna7HZPJhF6vJy0tjR07dtDR0YGiKPj9fjQaDVVVVRQXFwMwbNgwPB4PRqOR9evX4/f78Xq9/PKXvyQzM5OePXuSm5vLxo0b2bp1K4CYMVYD3Lq6OhYuXIjX62XChAl0dHSQlZWFz+cjGo1iMpm48MILxX7RaJRQKITdbmfgwIE4HA4RTKvBP8CkSZMIhUL4/X5++tOfkpCQIJYtjBo1isTERDo6OkQGwP33309raysvv/wyXq8Xi8VCUlISV199NTabTUxuaTQaYrEY4XAYvV5PaWkpdrudgoICAoEAmZmZZGZmUlNTQ0VFBTfffDNffvkleXl56PV6tFotTU1NVFRU0NraKjIctmzZIj53CxYsoKWlhTvuuIPPPvtMzMirF6KWLFnCV199RWJiIpdccgmXXHIJ/fr1o7i4mLi4OH7961+TmpoqsnfUi1XnMvVC04mQQffxOWuC7v2pKX6JiYmH3CYYDHa7oqOuUdp/jZ7T6Ty1BytJkiSdE87FVOrjZTQaReDd0dEh1taeCwwGA3q9np49e/LII4+Qnp7O66+/Tm1t7QEziT6fD9h7Imkymfj222+pr68nOzubK6+8UqxbXrx4MR0dHWzbto0RI0YwePBgUlNTxeylumY6PT2dMWPGiFl2jUZDa2srWq2Wzs5OOjo6aGtro2fPnmKdrZp2rM5+NjU1sWnTJnr27Mn69etZuXIlJpOJq6++moyMDOLi4sjPz2fs2LFYrVZSUlLQ6XQiaIM9FxGcTicmk4lAIEA4HGbVqlVs376d5uZmMcvZ3NzMokWLiI+Px+fziUCws7NTzHaq75fX66Wrq0t0B9h3ZjQ5ORmz2UxzczPBYJCOjg6MRiNOp5Pi4mJSU1NxOBwMHz6c3r17U1RURFxcHH379mXQoEF8/vnnrFixArfbjd/v7/Ya7rvvPi6++GJ69OhBJBKhqakJg8GA0+nEYDDgcDiw2Wx0dHSIGVH12OPi4lAUhcrKSiorK0lPT6ewsFBcMIjFYnR1dYnUfYPBgN1uZ/r06dhsNmKxGC0tLYwfP54xY8awcuVKNmzYwM6dO2loaECr1RIIBDCZTFgslm7LBtSLKWazmVgshtfrZf369QwbNoy8vDxaW1vx+XxkZmZSVFQkAnU16Pb5fCQlJeFwOMT3174z/8XFxbS1tZGcnExaWpq4LxKJoNVq6devHzt37hSfnUmTJtHU1MS6deuor68nJyeHGTNmMGvWLHFRJRgMirXDiqJQVVXF8uXLcblcjBs3jr59+zJp0iQCgQD/+Mc/8Pl8uFwuPvroI66//npxIUlRFJFVArBu3bpu38HRaJSKigpKS0sBxPm8xWJBr9fT2NhIMBjE7XazcuVKpkyZQkpKCjfccAMJCQnExcXh9Xqpqqpi9erVhMNhHnnkkZP1NXLOkkH38Tkrg+5YLMYDDzzAhRdeeEARin09++yzPPXUU91uu+uuu4DugXdHR4csjiNJkiRJx0gNvJubm8+ptmrRaBStVovZbCYrK4trr72W8vJy3n///W7rW9U0WTWNOBwOU11dTWVlJV1dXTgcDnJzc4mLi2PatGncfvvtrF+/np49e+J0OklMTBRFp9THtFqt9OrVi5ycHJYsWcL8+fP55ptvsNvtDB48mLKyMpxOp1jjmpSURFZWFoWFhWL5nN/vp6CggPb2dt58800qKioIBoMYDAY++eQTUlJSGDp0KH6/n/T0dHJzc3E6nbS1tZGZmSmCYY1Gg81mw2Kx4PF4CAQClJeXU1FRgclkwmQyodPpiMVizJ8/n0WLFuFwODCbzaLtXlxcHIsXLyYQCOB0Ovnqq68oKSlhxIgR3Zb4qUFtdXU1Pp+P3NxcUlNTKS4uZsyYMTQ1NbF161Z69OhBUlISmzZtIi4uDrPZTHJyMhMnTqSgoACn08n3339PdXU1oVAIg8FAdnY2AwYMoHfv3hiNRvx+PxkZGej1eoxGI6FQiM2bN7Nx40Z0Oh19+vQhNzcXg8HAxIkTWbFiBS0tLSxYsAC/309ycjKTJ08mLS2NQCDA+vXr0ev1xMXFibT5ESNGMGrUKJKTk9Hr9QQCAZKSkhg2bBjRaJR169YBiLX7xcXFeL1ehg0bRnt7Ox6Ph2g0SktLCzqdjqamJpYuXcrOnTux2Wzs3LmTAQMGkJ2dzZo1a7jkkktEQTG/309TUxMej4f4+HisViuxWEys81azKjo6OigrKyM+Pp5hw4ZhNpvFxZWVK1dSXV1NUVERF1xwAcOHD2fs2LEiXTs+Pp6uri5uueUWJk6cKOoaqJ9l9cJUV1cX8+bN45///CfRaJTdu3fzk5/8hGuvvZZRo0Yxfvx4br/9dvx+P//zP/+DRqPhpptuQq/Xs2vXLlatWsWSJUtYv349Go2GlJQU3G63SBkPBAIsW7YMm83GxIkTKS8vx+/3U1lZSTAYFLPt9fX19OrVC5vNRp8+fQgEAixfvpz33nuPxYsXEwqFMBqNMug+Clqt9oQuQJ+vF6/PyqD75z//OZs3b2b58uWH3e7hhx/mwQcfFP92u9385je/Ef9WA++mpqZzfh2HJEmSJJ2soqT7MhqNJCQk4PV6T+KRnllqsSk1kMjIyODGG2/k66+/xuPxiOB48ODBokCU2tP9nXfeIRQKidkcg8Egfu68806WLFlCdXU18fHxIhBSf9RAV6fTEQgE+Oqrr5g/fz5+vx+Hw0FmZib5+fk4HA4SExNJSUmhqqqKXbt2sXbtWrxeL4mJiSQlJXHBBRcwc+ZMkZ6rFszauXMn8+bNo6amBqPRSFFRkQjiN27ciF6vp1evXiJwVo/Hbrej1+vFul+/38/u3buJRqN4PB78fr+Y5S4oKGDw4MF4PB48Hg82m43GxkYWLVrEhg0bqK+vZ/z48SIwUxSFYDDIO++8Q0VFBUVFRbS0tKDX6/n+++/Zvn07TU1NYia1tbWV1atX4/f7ycnJEWuB6+rq2Lp1K+FwGKPRiE6nw2AwkJycLAJZp9NJLBYTa9ldLhctLS2sX7+eqqoqkpOTGTBgAGlpaUSjUaZPn05zczOBQIDW1lZKS0spKiqiqamJQCBAdXU1JSUleDweMSutjr1ajd7v94tZa4vFQkJCAklJSbhcLrHOfNiwYfh8Pjwej1hSGQ6HaW9vZ9euXXg8HnFBIhQKUVpaSmpqKnFxcWRkZIjA3Ol0smnTJpYvX47D4RAXKdRZ7xUrVuDz+bDZbJSWlmIymYiLi6OwsBCj0YjX62XDhg18+OGH6PV6CgoKxHpru92ORqOhq6uL8vJydu3axcqVKxk7dmy37Ih93wOHw9Ht4kpbW5toO2g0GsV68q6uLpFK39rais1mY+XKlaxdu5bGxkZaWlro378/F1xwAUajkd27d4tq/BaLhV69epGXl4fD4aC0tFTUVwiHwzgcDrEsQa0CX1tby//93/+xfPlykRURDodPw7fL2U/OdB+fsy7o/vd//3e++OILli5dKgpZHIp6FVaSJEmSpJNXlPRc9+ijjzJ69Gguv/xykfI7bNgwXnnlFZqamkSRs/j4eNra2rjpppvQ6XQiwFVnX2+66SYsFos4yUxISGD8+PG0t7dTVVXFtm3bMBgMpKWlodVqGTJkCHq9HkVRcLlcfPLJJ3R0dBCLxfB4PMTFxXHPPfeg0+lob2+ntraWQCDArl27WL16NZs3b0av13PZZZfxk5/8BLPZzIwZM+jq6mLdunXExcUxYsQILBaLCET8fj9paWksW7ZMzKKnpKSQnp4O0C2YMplMzJgxg2AwyKBBg1i2bBkVFRXMnz9fFLwKh8O4XC58Ph/Tpk3DYrHQ1tYmisWFw2EaGhpYtGgR06ZNIyMjg6amJtHKSW0JFQwG2blzJ0uXLmX16tUEg0G6urpwuVxYLBZ27drFjh076N+/P16vl5qaGpYsWUJFRQUGg0GkZBsMBqqrq/nNb37Dxx9/zA033IDdbqezs5Pm5mbWrFmDy+US7/N//Md/kJGRgcFgQFEU8vLyuPLKK6mrqyMuLo6ZM2eK8XW5XHR2dpKVlcXkyZPZvHkz27dvJxQKUVZWxtKlSzGZTGRnZ9PV1cXOnTsJBoPU1dWJzITBgwdz7bXXkpOTQyQSoauri88++4yysjJCoRBVVVX885//FM8Vi8VEMb+CggIikQhpaWlUVlby6aef4vf7Wbx4MbW1tQwePBitVktZWRkff/wxb7zxBl6vF0VRRDV1tYhceno6LpeLpqYmNm7cSFxcHL169WLGjBlkZ2eLNfnq85eWluLxeJgzZw79+vXj0ksvxWg0iosL+y63mDZtGjU1NaIN2OLFi4mPj8fr9fLYY4/R1tZGNBqlq6uLVatWYTQaycrK4vvvv6e+vp5AIIBOp6OzsxOLxcKdd95JVVUVW7dupb29nenTp9OrVy8KCwspLy9n8ODB7N69WxRbi4+PJysri+3bt4uibJ9//jnr1q0jEAiIC17S0ZFB9/E5a4JuRVH4xS9+wSeffMLixYspKCg44ceMxWLiF/1cWosmSZIkSQdzMouSqkKhEB0dHefURe7vvvuOlpYWJk+eLGZMHQ4HkydPpqqqCpPJRHx8PI2NjWg0GhEser1ejEajWOean58vTjAVRRFrf3ft2sW//vUvmpqaqK2tpW/fvuTn59OrVy9RYXjdunX4/X4REJjNZoYNGybeZ7UImNvtFq2U1MBXTW83Go0kJibi9XqJRCJkZGQwevRoxowZg9PpxGg0UllZya5duzAajfTu3Zu8vDyxphjoNhuvzhzr9XpGjRqFw+Fg2bJlfPfdd+K5FUWhpaUFj8dDTU0NxcXFFBUVkZWVhVarJSMjg61bt7Jjxw7+9re/ccUVV7B69WrmzZuHy+XCZrOJqtjq+m+1IBpAeno6ffv2JSEhgdbWVkaMGEHPnj1FhWyDwSCWAMRiMXJzc0Xwunz5crZu3UpSUhL5+fl0dXURHx9PQkKCKAaoVhpXqcsIRo0aRTAYpKCggPT0dAwGA52dnYTDYTo7O6mpqemW9tzV1SVm1RsaGtixYwddXV1iQqhHjx4MGjRIBPAGg4FoNEqPHj0YM2YM7e3ttLW1odfriUQitLe3d+sXbzQaSUtLw2KxUFFRQUtLC8uXL6erq0sUOHO5XN3Wh7vdbtECTF17rc7Ef/HFF4wcOZK8vDxGjRpFQUEBhYWF4nO2b6Ck/j6o4/Piiy+KDIyUlBTRdkzdZ9CgQVx//fWkpqZSXV3Npk2b+Pbbb2lraxNBr16vx2KxEAqF2L59O5s2bRKV7PcN8uLi4ujRowfx8fEMGTKEpKQk+vTpg91uJxAIYLFYSExMJBKJ4HA46Ojo4Ouvv6atrY1t27aJjIyGhgbxnGrxu/M17flYyaD7+Jw1QffPf/5z3n77bT799FPi4uJE2xa1BcWxUgPucDhMQkKCqHYpSZIkSeeLIxUlPVRBUlUoFKK1tVWsjT1XJCYmivZW+6dY9+vXj0gkIipDWywW7Ha7mMU1mUyiErjdbhfraLu6usSJ/3fffce2bdsIhUJiza66Hlxdo7t48WIyMjJwuVwkJSVx2WWXidZk0WiU2tpa5s6dy/fffy8CeqvVSnp6On369KGmpob6+nq+/PJLtm7dKgpKjR8/ntzcXLHuNi0tjWAwyOTJk9FoNPTo0UMUpFJn3Ds7O0VBMjU1WFEUrFYr2dnZ2Gw2PB6P2Mfv97N8+XIKCwtpbm4mLS0Nh8PBuHHjGDJkCO+++y5lZWW89tprrF69mpSUFDo7O9FqtaSnpzN48GAGDBjA9u3bGTFiBBUVFZjNZsaMGcPs2bPJycnhoosuQqvVipZbU6dOZcqUKbz44ovs3LkTr9dLYWEhGRkZJCUlEYvF2LVrF7W1tTQ1NdHV1UViYqIIID0eDyNHjqSyslKkWkciEaqrq5k3bx5VVVWkpKRgNpsxGo24XC6R4uz1etm+fTu7d+8Wle01Gg3hcJj4+Hg2bNjA1q1bRQbBrbfeis1mo6Ghgc7OTnbs2CEC5MzMTB5++GFuvvlmli9fjtfrRavV8sknn1BbWyse32KxiIrycXFx7Ny5E6fTSUFBAQMHDiQxMZHCwkJycnLE5+urr76irq5O1CBQ+5KrFc3VWfO+ffsSHx/frTifWhk+EAjQ0NBAcXGxWKapKApz586loqKClJQUBg8ezOzZs0lNTRXvRUpKCqFQiA0bNuDz+XC73SLg1ul0JCYm0rdvXzweD1u2bAH2BPfZ2dnodDpCoRCdnZ1s3bqV3r17k5mZyYABA0hKShJZOmrVc7/fT2JiIkajEb1eT3FxMa+//jrff/+92K5///7cc889aLVa5s6de87VpTiVZNB9fM6aoHvOnDkATJw4sdvt//znP7nllluO6bH2DbjVlmEy6JYkSZKO5GB9cc9WR1OU9HAFSdWAW638fC7VRrnhhhtITk7uNlsHiCrTVVVVuN1uWltbaWhooG/fvrS3t7NhwwY8Hg+VlZWi8JjJZKK5uZlNmzYRi8VYv349LpeLzMxM6urqGDZsGFlZWYRCIVHxe/PmzYTDYfr3709cXBy33347RUVFmEwm/H4/9fX1vP/++6xevZqdO3ei1WrFDHV2drYIpNT+4NFoFL/fT3t7O06nU1xEiEQiouWTOoutzhSrgXVDQwOrV68mPj6e1NRU0ac5EAgQHx9PUVERRUVFYv22um8wGCQhIQG3201HRwdJSUlkZmai1WoZM2YMdXV1olp6WlqamH30er10dnYSiUQoKioiJSWFlpYW0Tu7s7MTs9lMSkoKFotFBI46nY4BAwbw9NNPU15ezptvvonVamXcuHGMHj2aiRMnsnTpUt577z2xjrlHjx60t7eLIF1dPz1jxgwKCwsJhUL86U9/YvHixSiKQr9+/WhubsZms6HRaEhNTaW9vZ1169ZRXl4ugkitVovBYKCuro5wOCzavGk0GjIyMkhJSSEhIQGr1UplZSXffvstOp2OSZMmiQrtDoeDvn37EggEiEQiJCYm8tBDD4maAl6vl40bN6LRaKisrBS9uIcMGcK4ceOwWq3iQlEsFqNPnz6MHz+eRYsWEQqFKCgoEG0QzWazaEenvvf7fu7VWWCXyyXOny+77DKmT59OcnIy0WiUqqoqGhoaCAQCrFmzBrfbTf/+/enfvz9arZYPPviAxYsXi6UNaiX+UChEUlISkyZNIjc3l9LSUhobG9HpdPTt21dkCwQCAdLT0xk6dCgmk0lkAtjtdlEozuVysXPnTtra2hgzZoz4fV23bh0lJSW43W7cbjdJSUlEIhEuu+wyEhIS8Hg8fPHFF1RWVp6Jr5uzjgy6j89ZE3SrKTUng3qlPjk5WVStlCRJkqTDicViB8z0ns2OpijpoQqSRiIROjs7MRgM4gT2XHLttdceUBAK9lRiXrJkCa+99hp1dXX4/X5RXbuzs5Py8nIxM7xx40aGDRsmehTX1NSwadMmUlJS6N+/P21tbcRiMbRaLTabTfRSDgQCIggaPXo0s2bNEi2U2tvb+fzzz/nkk08oKSkRM3rqDHtSUhKTJ09Gr9fT0NAgAtPExEScTifDhg0TgS7sOflVK4C73W5qamr485//TG5uLjNnzsRoNLJ161bKyspobm6md+/eeDweIpEIZrOZoqIiQqEQffr0wWAwiIJnGo1G9OfOyMigsrKSaDRKfn4+NpuNRx55hFtvvZWEhAQ0Gg0dHR383//9HyUlJbS2trJ9+3a0Wi2DBg0iGAzicrlobW2lubmZHTt2YLPZSEhIYMyYMYwaNYqhQ4eKftxOp1P8u7W1lbS0NMxmMxMnTmT8+PFMnTqVtLQ0Mfu7evVq5s+fz+rVq4nFYqLS+1133UVVVRVffPEFbrcbg8FAc3MziYmJ6PV6MVtbX1/Pjh07xPup0WjQ6/W0tbWxfPlyUlNT2bx5M16vVxQw6+zsFD2z1QJsu3fvFqne6nNotVosFguKonDjjTfy2WefsWjRIrH++fPPPxep86FQCJfLRXp6Opdddhl2u13MVKvn0AaDgWnTpmG1WrnooovIz88nMzMTRVGora1l0aJFtLW1sWrVKi6++GIMBoP4rKjrwNUskKuuugqLxSIyXHbv3s3UqVNpaWlh2bJlbNiwgYULFxIKhfB4PKINnNPp5Prrr+e2224TFyvC4TBpaWksXrxYjENycjI5OTk0NDQQi8VED+2UlBQKCgooKyvj+eefJz4+npEjR+L3+3n55Zepr68nKSmJnJwc+vfvz86dO9m0aRMul0tUM29ra2PHjh3ExcVht9sZPXo0X3zxxXmRXq62ODwRMug+PmdN0H2yGI1GotEoaWlp51QqnCRJknTq7FsD5FxwtEVJD1aQVKPR4HK5MJvNIhg816jrloFufbmDwSCRSIRNmzbh9Xoxm80Eg0GmT5+OVqtly5YtLFu2jFgsxsaNG0U1ZHXtdn5+PsOHDxfrsLdu3Yrf76dHjx7inCQhIUG06FIDHfVYAP7+97+zbds20QJMnbmOj4/HbrfT2toqZqWdTif9+/cXqfDjxo0Ta3T3LR4ViUTYsWMHL774IsuXLyczM5Pk5GSGDx9ORkYGffv2JRQKiarsiqKQnp6Oz+cjOTmZyy+/HI/Hw/r16/nqq68IhULMmDGDK664gkAgwKeffioKYlmtVuLj44mPjwcQ66/V1mnhcJjW1lai0SixWExkVDQ3N9PZ2Uk0GhU9pJcuXcrWrVvFTHGPHj1EuzWTyUQ0GqW0tFRUC9fr9SJ1XL34oK4PDofDoghca2srVVVV/PDDD2IMrVYrQ4cOpV+/fiKlW102oI6R2WwW2yuKQltbm0jbVouf/fDDD7z11ltccsklpKWlkZ6ezoUXXkh+fj7p6em0t7eLCxZq0KvRaDCZTMyePZuSkhKRit7S0kIwGCQcDhOJRMQYqL+f6vsaDocJBoOYzWa8Xi/Jycn069ePpKQkjEYjiqLgdDpxOp0sWrSIXr16MXHiRJERse+6arPZjKIoGAwGUYxNURRyc3PJzMyksbERm81GWVkZkUhEjFsoFEJRFHGBKT8/n4yMDNatW8dnn33GqlWrRAV+NUXc6/XS1NREXV2dmO02mUwkJibicrkoLS2lo6ODjz/+GK1WS0dHB5FIRHyOvF4vu3btEjUN1N/jQCBAU1MTFRUVOBwOqqur0Wg05ObmnuJvljPL4/HQ1dV1wo8jg+7jc94F3VqtVqxJkiRJkqQj2XdJkrrW9Wx1MoqSqr2Zz9WAGxBBTHt7O0ajEYvFglarJRaLkZ6ejtVqFUWb0tPTGTBgAFqtlj/+8Y/89a9/ZeXKlSQlJeH3+zEYDBQVFTFgwAByc3NF+6yysjLeffdd/H4/P/zwgwha9Ho9eXl5rFmzBr/fL4qIKYqCyWSioaGBrq4uYrEYOp2OnJwcevToIfoql5WVUVxczMCBA0XgrNVq2bZtm0h9VlPA1UCmpaWF559/nmXLlhEKhWhraxOtplJTU0lMTKR///7d2mIlJCQAe2Y4c3JyCAQCOBwOiouLSU9PJz8/n9TUVHw+H+np6ZSVlYnWTPt+btTXlpOTQ0pKilhT3KNHD6LRKG1tbWI/td1WYWGhWKe9Zs0aFi5cKIphXXHFFfz0pz/FarXS1dXF/Pnz+f7775k6dSoOh0NcRCouLsbpdNKrVy9uvPFGysvL2bJlCwkJCSQkJIgWcFarFa1Wy80338wdd9xBQkICsViM1tZWampq2L17N3a7naysLBGwqxcGYM8FDaPRKMbM5/Px1ltv8fnnn3PLLbeQlpZGv379SE5OpqmpiXA4zKuvvkp6ejrXXXcdeXl52Gw2tFotV155JVlZWfzxj3+ktbVVXKjo7OwUAXFubi7hcJhAICCKuu3evZvvv/+eqqoqioqK6Nu37wFZHNXV1bzyyits3ryZ/Px8pk+fTlFRkTjmpqYmUQiws7OT3r17i5pKamE3vV6PzWajV69eDB06VPTlVvs6q+vct27dSmdnJ52dnaxatYqvvvqKxsZGkXmqtvuqqKjA7XaLmglqoT2r1UpRURE+n4/29nZxESYWi6HX60lPT6dnz55i+Yu6LEj9rGk0Gnw+Hy+++CJ5eXm0tbXRs2dPMjMzT+XXyhnl8Xhwu90npUuF7NN9fM67oDsYDHa7YixJkiRJh7J/DZCzPY36ZBQljcViYk3muWrVqlWYzWa++OILcnJySE9PZ+TIkWLGMisrS6wlDgQC4iQ0LS2N8ePH89133xGJRDAYDMTHxxMXFydSrtWCZGov7kgkItaS+nw+du/eTUtLiygqps40wt4K6Orsu8FgIC8vj9zcXJYvX05nZycAAwYMoGfPnjidTvLy8qitraW0tJSNGzcybtw4EhIS8Pv9BINBvF4vDQ0N1NbWimrOs2fPpl+/fphMJpHqq1Zqj4+Px2aziVZoalCp1+sJhULo9XoSExOJj49Ho9EQCAREcF9TU0NSUpJIrVaLzG3cuBG/309WVhajR49mypQp9OrVC9jTIz0tLQ2Xy4XdbmfgwIGMGDECnU7Hjh07iEQi4n1UFIXdu3cD0Lt3bxobGzGZTDQ1NbFgwQLRzsrtdvOzn/2M3Nxc+vfvT0FBATNmzCAxMZGOjg4cDgeKonDhhRei0WjYtWsX06ZNIz09XQRtaoq51+slFotRUFBAOBwWbajUfufBYJC2tjZaW1tFkNvW1obb7eaf//wngwYNorGxkd69e7N69WoaGxtZtmyZ6BN/1113iUApPj6eCy+8kOrqakpLS0X1cY/HQ2dnJ4WFhUyZMkUUtgsGgxiNRjo6OtiyZQvt7e1UVlYSFxcnqronJibS0NDA/fffz/r164nFYuLxs7KyMJlMNDY28u2335KQkEBpaSldXV2MGjWKSy+99IBMGHUt++DBg6mrqxNrys1mM3a7nfT0dNLT01m+fDkNDQ2sWLGCjo4OUbFe/VzY7XZycnLIy8vD4/HQ0dHBoEGDRGX0rKwsHA6HyEBSFAWz2YzNZmPEiBFccMEF/PDDDwQCAbxer9hGzVZSM1YaGhpIT09n8uTJ5OTknNovljNEDbjV75+T4XydrT4R5130eTLXhkuSJEnnLjU9VA241WrGZ7OTUZQ0FAqd0wE3wGOPPUZycjKbNm0iOTmZrKwsdu3aRX5+PpWVlYTDYUKhEM3Nzfh8Prq6urBYLHi9XtGeqL29XfT43nemLxqN4na7qa6uBvacvDY0NPD444/zwgsv0NbWhs/nw263M3v2bNEbGfacPOfm5tLR0YFGo2HcuHHceeedRKNR3n33XVwuF+FwmOXLl2M0GjGZTOTk5DB9+nTRN/rGG28U/Znj4uIoKiqiZ8+e/OIXv0BRFNHv2Gg0iqrWgOj2os6gqpXZAZqbm0V2wL7LDlpbW/n000959913SUxMFG2i+vXrJy4mqH20169fT2dnJ4qiUFhYSGJiIlqtloSEBF5++WW+//57ampq6NmzJyaTSaQu//KXv+Qvf/kL1dXVRCIRJk2aRP/+/bFarWRlZREMBqmvrxcX0EKhEOFwmH/84x9MmzaNlJQUHA4Hl156KTabDb/fz8CBAxk0aJAo5rV582bq6upYuXIlI0aMwGw2i1R3rVZL3759ycjIwOPxUF5ejsFgABDV6RsbG0VKv1r9PRKJUF9fT2dnJ+vWrSMYDJKYmEggEKCzsxOv18urr75KcnIyt912GwaDQQT706ZNY8SIEXR2dqLX67n00kv57rvvGDlyJAMHDiQcDtPc3Cxm4Tdv3iyK0amZFk899RS1tbXiIs++9Y28Xi9/+9vfiIuLIy8vj4aGBpYvX87u3bvFY1RWVpKbm8v48eO7LVOoqqqisrKSSCSCTqcjPj5eZDL06NGDgQMHkpGRIdrujRkzhlgsRnl5OY2NjSKjw+l0cuONN9K/f38x811TUyP6p6ekpDBkyBAx063X60lLS2PgwIH06NEDh8PByJEjxdIC9XVVVFTg8/lEWze/34/JZKKkpOScnOnu6urC5/PhcDiIi4uTa7rPoPMu6JYkSZKkI1EUhY6ODjHLd64sSZIXno9OdnY2ZrOZXr16EY1GCYfDVFZWiurWO3fupKOjQ6Txrl27luLiYjweD4mJiXR1dVFeXs6yZcsYN24cqampaLVadu3aRX19PQsXLmTLli2iL7G6frW6ulqkgKuVpzUaDW63G4/Hw/Lly8nIyBCVt/ed8a2srBQzimPGjMHhcIjgT+1pvGTJErZt20YsFhOzjsOHD2fIkCFkZ2cTjUZFOymfz4fL5RIz2fHx8YRCIWpra6mpqRFto3JzcyksLMRisRAIBMQ65M7OTp588kkWLVokLhL88MMPJCQkkJaWxrBhw7jsssuIi4tj69atrF27VgSBEydOxOl0itTu7OxsLr74YtHWqbq6Gp1Ox4UXXki/fv2YNm0aq1atYt68eVx88cVidrWjo6Nb3+b4+Hh2796Nx+OhpKREHFdaWhqlpaVUVlbSp08fGhoaiEQimEwmMjMzqa6u5tFHHyU+Pp5p06Yxc+ZMUYTOYrEwaNAgxo8fj8fjwWazMX/+fDQaDU6nk4SEBBoaGkSgoc5gq+vbI5FItzXsDoeDAQMGUF5ejt/vZ86cORQWFlJUVITRaKS5uZmWlhbS09MpLi4mEomQmppK79692bx5Mx999BGrV6+mqqqKjIwMhg4dykUXXURjYyMVFRV4vV7a2trwer00NzfT2NjYrVaFug68srKS9957j1tvvRWn08n48eNpbW1l7dq1GAwGBg8ejN1uFwGvum9iYiJ+v5/NmzfT2tpKXV0dwWCQiRMnMnPmTMaNGyeWbPj9fkKhEEOGDOHLL7/kww8/xOfziervBQUFpKSkoNfrxe+h2tPb5/NRXl4uLhhoNBqxnGPo0KGkp6dTU1NDbm4ukydPJjs7m4qKCr755hu+//57cYEqGo2KmgtNTU3cdNNNp/8L5xSJRCKiF/3+/edPhAy6j48MuiVJkiRpP2rxo9TU1HMm4JaO3jXXXCNaPAWDQTG7rRaEikaj4sRRTaGGPWuO+/btS2ZmJjqdji1bthAOhxkzZgx6vZ7ly5ezfft20Tc7PT2dcDjMrl27RNq4+phpaWloNBpaWlrYsGEDW7Zsoa2tDafTSc+ePUlPT8fr9fLVV1/x9ddfiwJJmZmZDB8+vNuaXZ1OR69evZgwYYIIgtTnsNvtIrg3GAx0dXURDAZpbm6mra2N3Nxc9Ho92dnZBAIBqqur0ev17Nixgz59+mCz2YiLixOp6YAo7lVbW4vb7SYYDIo1t+os+8CBA+nTpw96vZ4+ffqwYMECIpEIfr+f2tpaBg4cKFLY1UDVarViNpsxmUyEw2EGDRqE0+kkGo2K9zg7OxtFUQiFQuzevZudO3fi8/nQ6XSYzWYx0x2JRGhsbGTVqlXYbDZKS0tpaGigrKyMYcOGkZ6eTm5uLm63m+3btwN7+jvv2rWLDRs2UFJSQkVFBTabjdzcXJxOJ/Hx8QwYMIAtW7bQ2tpKfn4+2dnZNDU1UV9fT0dHh5jddzgcpKen4/F4cLlcoqjbNddcw6RJk9ixYwfvvvsuBoOBDz/8kEAgQEJCAoqiiPT9oUOHkpKSImbR169fz/z589m1axfRaJSWlhZcLhcXXHABvXv3xmq10traSm5uLn6/n7a2Nnbt2tXts2+z2UhMTCQ7O5vExETi4uIwGo2MHDmSUCjE0KFDRVaH1WoFuhcbtNvtmEwmOjs72bZtG+FwWFToV5cmGAwGdDodcXFxBINBkpOT8Xq9ohe43++nrq6OhoYG8vLyRGaA2+0WnwF15l69WKHOXAeDQXr37k16ejoFBQX4fD7q6upITU0lNTWV/Px8FEWhsrJSVLhXl0Bs27btFH6rnH7hcBi73X5SA26QQffxkkG3JEmSJO1HURQSEhJkwH2eys/Px2KxkJycTG1tLYMHD6a5uVlUs87MzKSlpUUUJlIrwKuBoVrw7M0338Rut3PDDTdQWFjIzp072bFjB62trfTr14/4+HiqqqpobW0VafvqDGl+fj4rV65k4cKFrF27FkVRyMvLo6ioSAT5LpeLBQsWiLRcu93ONddcw4wZMwiHw+LkWFEU4uLimDVrFr1796auro4ffviBaDTKkiVLsFgs5OTkiPRTg8EgUp2rqqoYMWKECBaLioqIj49n+fLl+Hw+sY5732rvavEqo9GI3W7HZrOJGdw+ffpw6623kpWVJSpfX3vttSQnJ7N8+XIRkO87sxkKhejq6qK2tpbGxkaCwSDZ2dni91On04nZU6PRiM1mo66ujkWLFlFTUyNm69VK3mqatt1up62tjfXr19PS0kIsFsPr9VJXV8eyZcvIy8tj1KhRpKSkcNtttxGJRMjLyxNpyqWlpSIF//nnn8fpdFJdXU0oFKKpqYnHHnuMPn36MGHCBP7xj3/w9ttvA3tqKEyaNImePXvi8XgoKyvDbDZz/fXXc+GFF2IymejVqxeXXnopfr+f//u//+ONN96gpqYGnU6HxWIhFothMBgYMmQIN954IxaLBZvNJrITYM/Fj+rqampra5k1axaTJk0SvcR37NhBKBRiy5Yt+Hw+MW5vvPEGY8eORafTicwC9fOg0+mIxWKEw2F0Oh2hUIhgMCiWUGg0GqxWK8nJySQkJJCRkYHX6yUhIYFRo0bRo0cPcRFFLeTncrn47rvvxOdRrVvg8Xj46KOPsFqtFBYW0tDQwJYtW8jPz8dkMuFyufD5fGLphfo5ycnJoXfv3uJzr7YJC4VCpKWlYbVaueOOO3C5XNTW1tLZ2cmuXbsIBoNUVFSc1u+ZU81gMJyUwmn7k0H38ZFBtyRJkiTtx2g0itRc6fwzf/58Ojo66NevH6mpqaJwnBqMZ2dns2nTJnQ6HdnZ2SIjoquri8rKSrq6uroVWPP5fCLYMxqNpKSkUFRURO/evUVl5kAgIKotDxw4kPj4eObOncvu3btFZW6/34/VahUzruqacjUdNyUlhZycHKqqqggGg6JgWWpqquhJnJaWJtoy7dixA4PBINbKajQa7HY78fHxoi2Wz+ejtrZW9BR3u91s27aNhoYGGhsb6devH0C3tlJq8TCLxUJ+fj4DBgzgwgsvZPjw4aLXslrQSU3TnjRpEuPHjxezoOpMrdVqpbGxkd27d/P555+LoGzq1KkUFRWJwmhVVVUAolhUe3s7DQ0NhEIhEeDpdDpxccDpdFJcXExRUREajYa2trZua5NbWlqIRCL07NmTPn36kJWVRVJSEmazmcrKSvLz86mqqsLlcrFr1y7+8pe/kJWVxaeffkptbS2KomCxWIiPj8disYjie7FYTKy1nzp1qkjJdzgc9O3bt9v3jhrETp06lTVr1rBz507i4+OJRqMEg0E6OztZvHgxQ4cOZcyYMVitVpxOJ62trWLmWe3prVaG9/v9+P1+urq6CIfDoh84QEpKChdddJGYGY2Li6O2tpZQKCTWQav9vxsbG8WFFbU9mSoSiZCRkcE999zDwoULycjIEOuqm5qaMJlMGAwGDAYDVVVVbNu2Db/fL47DbDbjcDhob29ny5YtOBwO6uvrMZlMKIpCc3MzdXV1YimDGnjrdDoyMzPF53Dflmn7/g726NEDrVZLv379cLlcVFdXo9Vq2bBhw8n/MjmDTlXhaBl0Hx8ZdEuSJEnSfs71QmHS4b3wwgtEIhFSUlLo378/Dz30EKmpqVx88cXU1tbi8/no2bMnvXv3FjOser2exsZGampqRLqr2WwmJyeH5ORkAoEAOp2O9PR0nE4nBoMBv99PSkoKI0aMEI+1YsUKurq6aG9vFzPgavqu3++nf//+RCIR5s2bRyAQELPIF1xwAcnJySJQ2bFjBy0tLRQXFzNmzBiuu+46UXU8KSmJmTNnUlBQIAK7zMxMUlJSRLqyuu57+/btbN68meHDh7Nz504++OADESj6/X6MRiM+n0+8B7C3dkBubi7XXHMNw4YNIyMjQ6SwH6yCslrtXA3aQ6GQqMDtcrloamrigw8+IBQKkZSUhM/no7GxkezsbL744gssFguXXHIJiqIQiURoaGggGAx2q2Ogzn5aLBamTp3K9OnTKS4uZty4cfz1r39l+/btopaDOqu7Y8cOtFoteXl5FBYWUlxczAUXXEBOTg6zZs3itddeo7S0lE8//ZRIJCKCO7XQnFarFe3L1KDbbrczePBgUcW+oKCASCQiZoXNZrM4ZnXsHQ4HQ4YMYejQoRQWFtLe3s5bb70lqt/n5uYycOBA7r77bp555hk8Hg9arRaHw8G4ceOw2WxiCUAgEGDdunUsWrRIHJ/RaGT27NnYbDYRFOn1elJSUvj888/ZuXMnQ4cOJTc3F41Gw9///nc2bdrEDTfcwDXXXCPaKaoXf0wmE8FgkMzMTBwOBykpKaI+gfrZzsjIoKmpCZvNRnp6OuPHj6ewsJBBgwaJZQFtbW1s3boVl8uFx+Ohvr6egoICurq6SEpK6tZSTqPRiJl+g8Egerzv2LEDi8Ui1pGrfczr6+tpamqis7OTkSNHcs0115yaL5RzjAy6j48MuiVJkiRJkvbhdrvFeup91wTHxcWRkZGBoigicFZ7dqtBaF5eHv369RMpvk6nk61btxIKhXC73cTFxaHT6cjKymLLli3EYjEGDRpEr169qK+vFzPfzc3NpKSk4Pf7RRCvpmO7XC46OzvF7HOPHj3o1asXoVCIdevWsXv3bjo6OnC73aKFV2dnp1hPq64PnjhxIoqiiJTlfdPE1Znuiy66iLq6Opqbm1m9erVIny4oKGDs2LEi0DEajWIduclkomfPnsyYMYOMjAwyMjLQ6/UiINbpdOLClrqGV71No9GwefNm0Q7NZrNhNptpamoS6eBtbW2Ul5fT3NyM0+kUM/UDBgwQ68cbGxvFWnV1xhMQfcbr6uqora1l0qRJxMfH85vf/Iavv/6av/zlL3i9XhRFwePx0NraytKlS0VLquuuu46LLrqIoqIicnNzqa6uprKyUhRDC4fDwJ6AVa3iHo1GMZvNYt1+fHy8SOfXaDRkZGTQ0dFBU1MT0WgUp9OJ3W7HYDDg8XiYP38+LpeLWbNmMW7cOPLy8ujs7BTtvpxOJ+np6aKw28yZM9m0aRONjY2kpqaKVmeqYDCITqfD6/WK90udJVcL6anUPt0rVqwQxd/cbjfr1q2jrq6Ozz77jIEDBzJkyBC0Wi2hUEhcYNq3N7madaEWL1OL5KWlpTFz5kxGjBhBQUEBeXl5OBwOsrKyWLBgAQ0NDSQnJ4sq8AkJCeTl5ZGZmcnQoUMJBAI0NDRgNBrFY6rP53a7qaioYNeuXWRlZfHtt99SU1PDtm3bRCaF2gM9HA4zefLk0/L9crY73X2658yZw5w5c0T9gX79+vH4449z8cUXH3KfDz74gP/+7/9m165d9OzZk9///vdccsklx33MJ4MMuiVJkiRJkvajzizv3r2b9evXi6JhOp2OrVu3snv3buLi4ti+fTvRaBSDwUB2djZ9+/YVqb6NjY18/fXXvPnmm4TDYZG+27dvXzweD16vl7i4OKLRKK2trbS1tVFRUcGOHTsYNGgQt99+O5WVlbz99tt4PB4sFgvz588HEO2v1MrO5eXlYv2qw+EgJycHk8lEIBBg48aNrF27lkAgQGZmJuFwWFQ6B0SwqLbxUvtvAyQnJ5OYmCjWnjc1NRGLxbjqqqvo0aMHer2e3bt3i/W0RqMRo9FIQkICU6ZMEf3M1SC2vb1dFHJzOBzU1tZSWVlJZ2cn33//PaWlpXR0dDB9+nSeeeYZ0QpqypQpTJ8+nS1btlBWVkZHRwc6nY6mpiaam5vRarV89dVXeL1enE4nS5cuFRXL9525Vtf5NjQ0UFpaSnt7OxkZGaSnp5Ofn09dXR0ffvihmG2vqqoS1b31ej3z5s1DURRyc3MBGD9+PE1NTfz9738XBfZ0Oh2XX345ycnJYu1zXl6euGiSnp6O2WwWFzi6urrQaDQsWrSIDRs2sGbNGrHGPzk5mSuvvJJrr72WsWPHYjKZ0Gq1WCwWrrjiCjo7O0Vf8Li4OFJSUkhNTRXjZDKZxAUkvV4vWnWZTCZMJpNYR+3z+fjqq6+4+uqr6d+/vzg2NXtj3zGur6/H4/Hg9/spKSnht7/9Lb169SI9PZ0RI0ZgNBoJhUIsWrSISCTC1KlTxUWVhIQEkZ1hNptJTU2lrq6OpKQkkWlhMpkoLCxk7NixYra7paVFrOMvLi4Ws/MXXHABJSUlonXbqFGjaG1tpbq6mnfeeYeOjg7uvPNOsrOzWbBgAQsWLKC1tVX8nkejURwOh5gJHzdu3On5gjmLne6Z7uzsbJ577jl69uyJoij87//+L7NmzaKkpEQsb9nXypUrue6663j22We59NJLefvtt5k9ezbr16+nf//+x33cJ0oG3ZIkSZIkSYcQjUbZvHkzbW1tGI1GXC4XOp2OvLw8tm7dyrZt21i+fDkGg4H77ruPXr16UVxcjE6nIyMjg7KyMlEtWw34HA4Hu3fvBhDpriaTiR9++EHMdprNZvr27csFF1yAw+Fg2bJl1NfXi+JigAiW9u29qwZ9l156KSaTiTVr1lBTU0N1dbWYZezs7MTn84m11R6PB71eT05Ojpgd7ujowGw2k5CQIAI6dcZUr9eL9e1arZba2lqqq6tFQbl9Z5f3TyXftWsXq1evpqmpSfw7FovR2tpKeXk5nZ2dAHz99df87ne/E49nNBq56aabWLhwIT169KC6uppAIEBXVxder5dIJMI333xDdXU1gwYNoqOjA7/fj9lsxm63k5SURCAQoLm5mUAggMfjYevWrVRWVooLFGlpadx66618/fXXIsNAfa/VoNHlcrF69WrsdjuJiYkYjUY8Hg8DBw7E4/GI2f+ZM2ei0+lE1e1QKERCQgLBYBCz2YzP58PtdovgODU1FY1GQ2Njo0irV9PRhw4dyrBhw0R1ePU9UdOl1TX6BoNBpITb7XY6OjoIhUIiu0LtK242m7nmmmvo6OjgvffeIxwOEw6HcblcfP3112LtfzQaZdWqVWzfvh2fz0dTUxNffPGFuGCkFp774YcfWLVqlWixNmTIENLS0kSLstGjR3fLblCPUy1+5nA4RFp+c3Mz2dnZxMfHizTyWCzGpEmTxMUJtWBhbm4uiYmJXHDBBeh0OhHIV1dX89FHH4nWbaNGjcJms9GjR49uGRlq+r/BYCAajWK320/218c56XQH3Zdddlm3f//2t79lzpw5fP/99wcNuv/0pz8xY8YMfvWrXwHwzDPP8M033/Dyyy/z6quvHvdxnygZdEuSJEmSJB2G2+1m8eLF9O7dm6amJrRaLenp6aSkpNCnTx+++uorkTKbl5cnZpCTk5MZN24cI0eOpLW1leLiYnr37o3X68VsNrNixQri4uKw2WxYrVaxjrm9vZ2SkhLWrFnDxRdfzPXXX8/FF19MWVkZFRUVNDc3Y7PZ2LlzJw0NDSI4A0Q17RkzZpCamkqvXr34xz/+wRtvvEFycjLp6eliVr2jo0P0qi4uLmbq1Klibfjrr79Oamoq999/P/Hx8WIdbHZ2NjabjeHDh6PX69myZQuffPIJ8fHxTJ8+HaPR2O2kWg1uIpEIHR0dVFZWsnDhQrZu3YrP58NoNJKVlSVSfNV9wuEwmzZtori4GJPJJGZZr7rqKlG07uWXX+Zf//oXHo9HpODv2LGDtrY2evXqRWZmJn369KF///5kZWWh1+tZunQp9fX1NDc307t3bxGMwp601yFDhvDcc89xzz33EAwGxeswmUz06dOHvLw8LBYLr776Kk6nk379+mGxWLj77rtJSUkRFylaW1spKSnBYDDQ0dFBTU0Nffr0wWKx0KtXL7799ltWrFghWjpNnTqVkSNHkpqayrPPPktjY6N43hEjRog172ohOUVR8Hq9bNq0iQ0bNtCzZ09GjBhBXFycKLbmdrvFLLjVakWn04niYwMGDOCBBx6goqKCjRs3AnsKp5WVlfHGG28wZMgQ2traWLBgAc3NzbhcLtHOTR0rNXugs7NTZEaos9IZGRnodDqKiooYOnRot0A3FovhdrtFG761a9eKwmi9evUiKyuLWCwmsgkKCgpoa2vjjTfewGq14vV6GTx4MKmpqaLlnbq8o7m5mTfffJNPPvkEl8uFRqPhq6++IjU1lQEDBjBr1iwAfD4fq1evxu12ixn21NTUU/Ydci45WUG32+3udruafXE40WiUDz74gK6uLkaPHn3QbVatWsWDDz7Y7bbp06czb9684z7mk0EG3ZIkSZIkSQehFv5yOBy0trZSV1dHYmIiiYmJ2O12UWU8Li6OcDiMzWYT6bywZ3a0R48e/PKXvxQz20lJSbz//vs0Njai1Wrp6OgQLZkuvvhizGYzixYtwu12i5nK9PR0EhISyMzMZPz48fh8PjZv3sybb77J559/3q11Euztk200Gmlvb6ezs5PW1lZcLhdutxuXy9UtWNfpdFitVhISEjAYDOzcuZONGzdis9kYMmQI+fn5uN1u7HY7w4YNo1evXiQkJBAIBHC73ezcuZMRI0Z06w2uUgPu9vZ2tm/fzuLFiyktLRWz85FIhLi4OMaMGcMPP/xAeXk5sOeCRUVFhWhZZbfbcTgcJCcnY7PZiEajzJ49m5UrV3ab+Vcrjv/sZz/D5/OJWejU1FQMBgO7d++mtrYWm82G3+8XQamaVh8KhfD7/aIQmtpnOi8vj8mTJ9OvXz+8Xq8INLu6ukhNTRWVwNXZ9fLycnbt2kV1dTWJiYnU1NQQCoWwWCyih/UPP/yA3+9n2rRpRKNRMjIyMBgMDB06lEWLFokZZTX9GhCzy+ra5Y6ODpYuXUpJSQn5+fliuUJnZ6e4QJOWlsagQYO6ZR2ofdqvvvpqESiryxO0Wi0rV67EbDbTo0cPurq6sFgsdHV1iaJliqKISvpqwK0oCtFoFJfLRX5+Pg6Hg4kTJ6LRaMRFkVgsht/vp7KykqqqKjZs2MDOnTtFtkVrays9e/YUF3cAkTGRmppKSUkJ5eXlIoU9NzcXi8UiMjDUIN7tdot0/9LSUr799lsuu+wyJk+eTFJSkphV37lzp+gasH79eq6++uqT+yVyDjpZQXdOTk6325944gmefPLJg+5TWlrK6NGjCQQC2O12PvnkE4qLiw+6bWNjI2lpad1uS0tLExeyzhQZdEuSJEmSJO1DPSm0Wq0kJSWxbds2urq6gD1B4tChQ+nfvz/hcJj4+HiRnltZWUlLSwsWi6XbuujCwkKcTieKovDtt9/S3t5OU1MTVqsVu93OxIkTyc7OxuFwUFxcTH5+PiUlJSLQz83NFWulNRoN8fHxJCQkUFBQwO7duykrKxNVm9VZ0Oeff55Ro0bx4YcfsnnzZnw+HyaTieTkZLRaLZFIRByfyWRi2LBhTJkyBYfDQWlpKdnZ2WzYsIHf/OY3JCcnixmoCRMm0KdPHxGY/etf/2LGjBnMmjVLBEnqBQA1YPz4449Fn/Py8nK8Xq9IobdYLEyePJlp06Zx33330dTUxOeff862bdtYuXIlVqsVs9lMfHw82dnZDB8+HLvdjsVi4YILLqBv375s27ZNjF1GRga33XYbo0ePFmnLgUCAYDDI1q1b2b59O52dndTU1NDQ0MDmzZvJzMwkKSmJrq4uFi5ciNfr5aabbiI1NZUvvviCrq4ubDYbNpuNESNGYDAYmDJlCh0dHezevZvy8nJ++OEHdu/ejcvlwmAw8K9//YuOjg68Xq9I41fHRg2mg8GgqPA9bNgwkYkQHx8vepCHQiFeffVVrr/+emw2G/PnzycQCDBo0CASEhJYs2YNdXV1ZGdns3v3blJSUsSa9QULFlBZWUnfvn3xer3k5+eLwFs9luTkZPLy8vD5fGJd/bZt27jpppvIyMhgwIABtLe38/DDD7Np0yaxn8FgwGQyYbVaxWx3OBwWKeZjxowhMTGRXr16EQgExOetqamJt956i9LSUtEOz+124/F4CIfDlJeXU1VVxS9/+UsuuOAC8blTL3QEAgFMJhOLFy8WfdPVIFAtXqfO6Kvr1Ts7O/nmm29ISEhg/PjxOBwONmzYQEVFBTU1NaKYn8/n49lnnz2l3y3ngpMVdNfU1OBwOMTth5vl7t27Nxs2bMDlcvHhhx9y8803s2TJkkMG3j9GMuiWJEmSpP3sW+lXOv+oVbTVNPFQKERNTQ35+fkUFRUxePBgLBYLsViMqqoq2tvbiUaj/OUvf6G0tJSHHnoIu92O0WjE6/WyefNmVq1ahU6no6KigtzcXDweDwMGDBDVztX+0lqtlv79+xMfH09VVZWYgVTXwaoURaG2tlasZY1Go/h8PjEDuWnTJsrLy6mursbj8YgTZbVlltFoFEXO9Hq9KPRls9nIzs4W69EbGhpoaGjAarViMBjIzMyksbGRrq4ufvjhB4LBIGPHjqVXr16ix3QkEiEQCPDGG29QVVVFWVkZ7e3teDyebunRao/u3NxcMjIyRDVvNaArKSnBarWSkpJCenq6COry8/NFUa6pU6cyb948UXV7yJAh5OTkkJSURCgUEtXVKysrqa+vp66ujtbWVrHme+PGjfTq1YstW7awbNkytmzZQmFhIXfffTeFhYVkZWWxbNkyNm3axPr165k8eTI5OTkkJiYSiURISEigpKSE9evXi/cuMTGRYDAogtJgMCiWJTQ2NuJ0OmlpaSEcDpORkcH48eNJSkpCr9djs9kYO3YspaWlYlZ5x44dLF++HI/Hw7JlywiFQrS0tDBr1ixGjRpFYWEhdrtdrKmvq6vjhx9+EMXOWlpaRCDvdrvFbLOiKCQlJTFkyBDWrVsnLk6o68n79+9PWloaqampDBs2jLKyMvEZUzMPxowZIzIEysrKiI+PJyMjgx49eoh2edFolJqaGrxeL19//TXLli2jrKyMYDBIUlISfr9ffGZqa2vRaDR8/PHHFBQUkJiYSCgUwmw2M3LkSLKzs9m8ebPIHFBrHKi1DBITE7nuuuv46KOPWL9+PZFIBI1Gg9frZd68eZSVlTFy5EhKS0tFL3a12F1tbe1p/qY5O52soNvhcHQLug/HaDRSVFQEwNChQ1mzZg1/+tOfeO211w7YNj09XdSMUDU1NZGenn7cx3wyyKBbkiRJkvajnuRJ5y+9Xi9msAOBAA6HgyuvvJKLL76Y+Ph4saZ2wYIFIi23sbGRTz75hK1bt5Kens6oUaNYuXIlmzZtEtW2k5OTee6557jzzjtFAS+1x7HP56Ompoa1a9eKgKGqqoqcnBzy8vJIT09Hq9WiKAodHR2sXbsWn89HNBolKSlJfGYVRSE1NVVcEABEdfXhw4cTDAbp6uqivr4e2FPM7auvvqKrq4upU6fS0NAgAqvKykpisRhtbW3Antkpi8XCRx99JFKhHQ6HaI0VjUbp6upi/fr1fPbZZ1RUVIgWZWazGYPBIAKkSCSC3+8X6+Xb29vZvXs3a9asYf369bjdbpxOJ3l5eYRCIZxOJ8nJyeLig8lkYvz48RQVFdHY2Eh8fDw9e/akvr4eq9WKx+MR6ctWq5WCggIuvvhilixZQktLC9FolC1btpCfn09ZWRlNTU2iSvwFF1yAxWJhyJAhrFy5kl27dlFXV8eOHTuIj49Hp9Oxc+dO3nzzTdasWSMubIwdO5aMjAz69etHKBSisbGR9vZ2kd2g1WpZtGiRuPig0+nIz88XyxKi0SiRSISsrCxR3fv6668nJSUFRVHIz89n06ZN2Gw2EhISGDlyJHa7XXwuotEoTU1N6HQ6USxv2rRpjBo1CovFgtlsFmvYI5EIqampXHnllWzevFkUuNNqtZSVlTF16lTRNz0ajYolBRqNhpEjRzJ16lSxjdPpxO/3E41GaW9vJzU1lbi4OLRarSie9/XXX7N8+XJ8Ph9arZb4+HhSUlKwWq1iWUE4HKahoYHPPvuMWbNmiTX9KSkpouDczp07URSFNWvWkJubi91uF58th8PBzTffzNChQ/8/9t47TJK7vPb/VFXn3NOT88xO2JyztLsKKyGtMgogREbY/hkwWNdwASds7r32JRlfm2QwQYAQAgkkJKRVWG1O2hxmJ+7k1DOdc6r6/dFTX+0KSYC0JKmPntGz09NdXdVVXVXnfc97Dj/60Y84ffo058+fJ5PJEIvFOHfuHMlkEp/PR1lZGeXl5RiNRvL5/G9MAP9UcOHIyaXEH0NOt6qqF3kuXIgNGzbw3HPP8bGPfUw89swzz7ziDPjvCyXSXUIJJZRQQgkvgU5qKisrX1ceaQl/mjCbzZhMJjKZDFarlerqahYtWsTVV1+Ny+USs6mRSESQUL2rWigUmJycRJZlurq6BPHVO58Oh4OmpiZaWlqwWq2YzWYhhZ2ZmeH5559nz549dHV1CcWFqqq8/e1v5/rrr8dmswnZrM/nE/nRZrOZTCZDZWUlNpuNmpoagsEg4+PjqKqK3W6nublZzMqOjY0J6XUul+PAgQPk83laW1vJ5XJ4vV4hZ9cJIiC6i4lEgtraWvx+P/F4XMzQ6p+JbnAWi8XEzHg2m8Xj8RCNRsnn8xQKBdLpNP39/Tz11FM4nU78fj+9vb3EYjHy+TyxWAy/38/GjRsF+U6lUkJpkM/nueOOO4SCYN26daRSKY4ePYqmaezYsYN0Os1b3vIWVqxYgdPpZOnSpSSTScbGxmhubsbn81FdXX1R3FosFsNisYjZYShKnB977DH8fj/Nzc2cO3eOY8eOiaLCnXfeybve9S4hJff7/USjUb761a+KIo6iKEQiEQwGA7IsC6Kqz4TrEW/RaJTy8nK2bt3K5ZdfjtfrRZIkVqxYwfT0NOPj47jdbkGkL9xH+vFZVlZGKpViwYIFIlf+wv2pKzoUReEf/uEf+Nd//VceffRRMcs+OTlJIpFgdnZWHOdGoxFFUWhsbGTJkiVUVlaKjHdVVUVxRH+u7qY+MzPDuXPnxGiBXnSxWq20t7cTDAbJ5XLiOzQ7O8t3vvMdtm3bxtatWwWhHhsbExnk2WyW2tpa2traKCsrE9vicDjo6Ojg7rvvprm5mZ07d3LixAlyuRyZTIbGxkbWr1/PqlWrgKIHwpkzZ4Rz/hsFuh+CPqpwqfD7zun+1Kc+xfXXXy8UQg888AA7d+5k+/btALz73e+mrq5OjAZ89KMfZcuWLXzxi1/khhtu4MEHH+TIkSP813/912te50uBEukuoYQSSiihhJdAlwUHAgF8Pl+JeL/J0NnZKYhQLpejpaWFt771rXg8HnEs6DLcDRs20NraSjabJZ/Pk81m6enpIZ1Oc+jQIUKhkJC4ejwebrnlFpLJJKdOnWJwcJBNmzbR0tJCNpvl8OHD/OQnP+HMmTNCNivLMidOnMBsNtPU1ER7ezt2ux2fz8eiRYv40Ic+BBTNgw4fPizivNxuNw6Hg6mpKdLpNKtWrRIScr/fz4YNG1i1ahXPPfccU1NTpFIpTp8+zQsvvMDVV1+NpmkEAgHRPdWhaZqQ81osFurq6hgcHOTYsWOC2BiNRtra2sTzUqkUg4ODLFiwALPZLEzk9Ci1aDTKuXPnBEEDsNvtwn16fHycgYEBYfz27LPPYrVaCQQC5PN5Vq5cyRVXXMHChQsZHh7G7/dz/PhxTp06xcjICFVVVVRXV1NeXk55eTkej4e//du/JRQKkU6nsdvtYluGh4eJRqMEg0HsdjsVFRXcdtttHD58mGg0KuaQ4/G4IJAtLS08+OCD1NbWClO2VCpFLpfDZrPhdDqpqanB7/eLAoiiKBgMBlasWEGhUCAej2M0Gunr6+P73/8+qVQKp9PJmjVrBGGGosO4TrRHRkYYHx+nrq4Ok8kkut36e+hk6+zZsyxYsAB4sUupE3WdiC9cuJAvfvGLDAwMEIvFuOmmm2hsbKSrq4tnnnmGffv2USgUqKyspLOzk1tvvZWOjg4Rb2a325FlmXA4TCwWo7a2VjxWV1fHddddxzPPPMPg4CCA2Gar1cqCBQtwOBwcO3aMnp4egsEg8XicBx98kOeff557772Xa665hra2NuLxOOfOnSMQCFAoFPjlL39Jd3c3V155JVdffTVmsxlFUcjlcpSXl4s8+fvvv5/BwUEqKyv58Ic/LIpPMzMzPPvss5jNZp555pnfzwnm9wQ9+u9SE+/fd6fb7/fz7ne/m8nJSdxuN0uXLmX79u1cc801AIyMjFx0jd64cSMPPPAAf/d3f8enP/1p2tvb+fnPf/4HzeiGEukuoYQSSiihhF+BPi8aiURKxPtNiBtuuIF0Os358+c5ffo0siyLQozT6QQQM6A2m42NGzfidrtJJBJEo1FSqRTDw8NMT0+LmVGLxcLKlStZt24d6XSaBx98kO3bt9PY2MjXvvY13G43IyMj+P3+X8ni1o2eJiYmcDgcwom7pqYGl8uFqqqEQiFcLhf79u1D0zRaW1uZP38+AwMDTE9Pk8lkSKfTgsBu2LABn8/HW9/6Vl544QWOHz8usqcjkQjBYJBoNHrRLPiF0GXRd911F8PDwwwPD7N7925kWaalpYWWlhbMZjNWq5V4PC5mz+PxOLW1tcTjcSFVNhqNImpNNwILBAKcOHECr9dLLpcjGo3y7LPP4vf7mZ2dBYpGd/X19VRXV9PR0YHBYMDhcIjZcd3V2mg00t3djc/nE4WRhoYGmpubxby+2WwWn3WhUMBkMomorWXLlnHDDTewZ88ekfFtMBjIZrMsXryYW2+9laqqKiF7LxQKZLNZTCYTgUAAi8VCIpEQhFA3Zaurq6O9vR2TyUQqlSIUCnHmzBlhPBaLxXjkkUd45zvfSW1trehM66Zkzz33HEajkauvvpqamhoxZy5JEvX19dhsNnF8TE9P09TUJIi53lHWoZ/zbrvtNmRZZsOGDRiNRsbGxgTBTafTGI1GFi5cSE1NDZIkMTs7y/DwMLIsE4/HGR4eRlEUbrnlFiEvl2WZiooKli5dyqFDh8RMvyzL+Hw+Vq1axaZNm3C73UxPTxMKhcRnODk5ycmTJ7nuuuvI5XL4fD7MZjPJZJJ8Ps+5c+cYGRlhcHCQU6dOsXjxYmpqaigvL8fn8+H1euno6ODGG2/kySefpK6ujpaWFiElt9lsjI+P09XVJcwS3yjQfRtmZ2cpLy+/5MT794X//u//ftW/79y581ceu/POO//onOhLpLuEEkoooYQSXgZGo5Hy8nKRaaxH9rzZcaGZ1xsVN998s8gmLi8v5/Tp03z84x/nnnvuobW1VczFPv3000SjUfr6+pAkie7ubrxeL6FQiFgsJqK8DAYDTqeT2tpahoeH6evrY/v27eLYuu2222htbWVsbIxQKAQUb2plWcZms7Ft2zaWLVvGqVOnyOfzTExMEI/H8fv91NXVicxip9PJqVOnSCaT1NTUYDAY2LJlC9u3b6enp4eenh5CoRCqqtLT08Mdd9whTLSsViuZTIaxsTFh3FUoFIT8PZPJkM/nBfmurq7mwx/+MGvXrsVms3H8+HE0TcNut/ORj3yEpUuX0tzczFNPPcXJkydpbW1l8+bNgkwNDw+LTlyhUKC3t5fOzk4qKytpbW0lEomwcuVK+vv7qa6uFhLgsbExQSx1J26z2czAwADhcJhsNks6nWbdunU0NjZiNpvp6uriZz/7Gfv27eO6666jUCiwfPlyPB4PZrMZp9NJS0sLqVSKzZs3k8vlqK2txWazIcsy5eXlvPe976W9vR2DwcCRI0c4c+YMFouFjo4OOjo6BImNRCKcOnWKI0eOiO72zp07Bfn2er1YrVbKyspwOp3is+vs7MThcAiJNSA+l49+9KOsWLGCVatWUV5eTiwWo6+vj2AwSCKRIBKJcNlll7F582bMZjOtra2YzWZUVeXIkSPU19eTTqcJBoP4fD4KhQJ+v/8i928ofrevvvpqwuGwkIbncjkGBwdJpVJIkoTX66W+vh6v1yuW8/DDD/PUU0+RyWREsWNkZIQPfehDtLS0IMuyiBFraWkR3ddNmzbxnve8h5aWFoaGhoRJ3vDwsDjWdLPCM2fO4HA4mJ2dFXPvutokkUgwMzNDV1cXdXV1lJeXs2jRIt73vvdht9tpaGhgenqasrIybrjhBiGHD4VCHDp0iP7+foLBoPBWeKNA31/RaFQQ70u13D/0TPefIt74V86XwGQy/c6MBUoooYQSSnhjwWQyXUS8rVbrH3qV/uAwGAwkk0lsNtsfelV+Z5idnSWRSBCLxTAajaLr+41vfAObzUZnZ6eYXQ4EAoJo627Tel611WoVcms9g/jZZ58VMUVQ7GTrpl56hJfBYEBRFOrq6ujo6KC+vl6Q+8nJSYxGI1arlWQyKTp2+munpqawWq243W7sdjvt7e3CvEqXPEPR4Xrv3r0ie1nvAEciEZxOpyA8LpcLr9cLwOTkpJB8NzY20tzcjMlkoq6ujlgshslk4qqrruLqq6/GYDCwYcMGhoaGyGQyNDc3097eTllZGSdPnsTj8dDQ0MBzzz3HsWPHyGQy3Hjjjaxbt458Pk9vby+PPfYY4XCYpqYm4VYNCMJdX1/PokWLmJiYYGxsTHSna2pquOyyy+js7MTr9YqOqT6Hr3fU3W63yLU2mUxi9jiVSqGqqph7LhQKOJ1OLrvsMuGAPjk5SVtbG0uXLkVRFGZnZ8nlcnzhC18QpLGtrU0UQ/RIN11GPjk5SW9vL4FAgPHxcRKJBDU1NRw6dAiXy0U0GhXHh+5E/9hjj2E0GrnyyitxOp1s2rRJdK6XLFmCxWLBYDBgtVqpqqpidnaWyy67DIfDgc1mEznmenRXPB6npqZGmLhpmsb58+c5d+4cZrMZi8XC448/zvT0NJqmoSgKqVSKM2fOsH79egDS6bToWusqAZ3sf/Ob38TtdoscbIBFixaRyWTo6Ohgy5Yt+Hw+VFUlmUyKOXv9O6QXrCwWCwcPHsThcLBv3z7GxsbEcax/RlA0YYvFYjQ3N2OxWEQeu/64xWJhZmZGHMOjo6P09/fT39/P6tWr35Dnd0mS8Pl8BAIBZmdncTgcl2SZJdL92+NNR7plWSYajYrqZQkllFBCCSW8Gi4k3hfe6L1Zkc/nhVRWl1q/0fCDH/wAVVUFcdU0jUwmQzKZxO12c/bsWeLxOJFIhHQ6Lbq1usGZLMtCKeHxeHA6nSSTSXbv3k02m8VsNgvpsn5MRSIR0QFdvnw569ev56qrriKRSHDy5En2799PV1eXiNDq6OgQ8WCTk5NYLBaOHj0qyG8qlRL52g6HQ5B6fSZbJ7a6LDiVStHc3Ew+nycSiQj5t97p/cu//EvOnj3Ljh07iEajNDQ0MDQ0xMTEBJ///Oc5e/asiItyu93Iskxraytvf/vbhYGZ2Wwmm82yfv16zGYzs7OztLa28vOf/1zIvJPJJEajkYMHD3LixAkURWH//v0iXxxedGK/8847yWazPPnkk0xMTOD1etm6dSvNzc0ivkuX1R47doyGhgZuvfVW3G43BoOBRCIhotp0B249G93v9wNw6NAhxsfHueaaa4Rku6ysTJC79evX43K5GBoa4uDBg2zfvp1gMMi8efO46667xHy1TohlWRbxaalUisnJSQYGBpiZmUFVVQYGBjCbzdTV1VFfX4/T6WRkZIRkMkkoFBLLufnmm6murhYu5bqDuZ5XbTQa+cUvfkEgEKCtrY3bb79djMnoRmuSJBEMBqmoqBCydavVSjgc5r/+678YHBzk6NGjQiqvKIrIJX/mmWdoa2tj/fr1bNu2jZtuuoldu3YxODhIJBIhl8uxY8cOxsfHiUajyLKMw+Hg6quv5vLLL+ctb3mLGCkIBALEYjGef/55VFXFZDKJ74Usy2J/PPnkkyQSCeLx+K800CRJwmaz0dbWRnV1Nb29vUJBcPnll7N8+XKWLFnC1NQUoVCIUCjE888/z/j4OIsXL2bdunXEYrHf41nm9wddxh8IBIhEIq97eSXS/drwpiPdeuxBaUavhBJKKKGE3xQ68X5p9uebEfl8HrvdLjpxb0Ti/ctf/hKDwcBdd93F2rVr2bhxIxaLhQULFghZ+alTp3jmmWcEqVUUhYmJCdFxlmWZBQsW4HK5CAQCJBIJ8vm8uAHu6Oigv7+f0dFR8vk8uVyOiooKOjs7+ed//mc6OzsxGo0kEgm+973vsW/fPjKZDFVVVbS0tIgIrkKhwNjYGB6PB7/fzxVXXEFVVRUej4dUKiUk0CdPnmR2dlbMC0uSJGLDGhoasNvt3HnnnaxZs4ZcLsfAwADd3d04HA4qKipwOp0sXLiQnTt3EgqF2LFjBydPnhRkWTeey2QyDAwMUF1djaZp1NTUMDMzQyKRYHh4mMbGRmRZprGxEbfbTTwex+12C6nw2NgYMzMznDp1ikQiIYoYuhxaJ502m43e3l4OHz7M8PAwmqZhMplobGxk9erVlJWViVGIfD5PKBRiwYIFVFZWYjAYxCy5Trj1OWeDwUBlZSWBQIDHHnuML3zhC2SzWb7whS+wadMmBgYGhLrhnnvuEZnhyWSSkZERMpkMLpeLBQsWsHTpUrLZLO985zv5/ve/j9FoRJZlampqeOKJJ0SXeHZ2lgMHDoh1MJlMXHPNNdx22200NzeLuelsNksikRBFDZPJRCQS4bnnnqO/v5+1a9eyfPlypqen2b59O9/5znfI5/PMmzePO++8U3weutmb3+8nEAjQ3t5OQ0MDkiSxaNEiEokE3//+9+nu7hb+AhaLherqaiKRiDCaGxgYYGxsjL//+7/nxhtv5O677xYFqp6eHg4dOsT//t//m3g8jizLpNNpjh49Sj6fZ/Xq1bjdbhobG/F4PCxdupQrr7yS3t5efD4ffr9fdNiDwaD4juiFLZ246ceH3W7nuuuu46abbuLo0aPs2rWLqakpTp06RXNzM5s3b6a8vJyGhgZGRkYYHR1F0zTKy8tpampC07RLQkj/WKGfd6ampl73skqk+7XhTUe6NU0TJ/nf94xeNB/l2fCzFz221bMVl+GNlQtYQgkllHBJkA3ByE8ufqzxTjB5/yCrYzKZ3nAzf68VNpsNs9ksiLfZbP4Dr9GlhR5Jlc1mhazY4/FgsVhQVZXq6mqef/55EokEiqKwbt06kskkP/nJT4Sbc1lZGUajUbhB6y7mUJTB+v1+HA4HRqORbDYr3MJHRkZQFEUYUCmKIp6TzWYxGAy43W7RedRJWE9PDyaTiWXLltHY2EhlZSXJZJLGxkaWLVtGMpnk+PHjIqc4nU6jqirxeJxgMMiqVatYvHgxLS0taJrGtddeS6FQIJlM4vF4hARbLyBEo1Exf65vVyKR4ODBg8zMzHDrrbeyfPlyzGYzVVVV+P1+RkZGxOyy2WwWZOuqq65ienpadKR7enoYGhoSxk/RaBSHw0FVVRVWq5WWlhYWL17M6Ogok5OToiuqqio33XQTlZWVYpywt7eXr371q0Ke/va3v/1XjOF0KX0mkxH7vrq6mqqqKtGsicVivPDCC6TTabEf4vG4mL3X96vT6cRoNGKxWKitrSWfz3Py5ElkWSaTyVBbW4vH4xFSZt28zWQyCdOzhoYG1qxZQ0dHBw6HA6fTSWVlJeFwmNnZWVKpFIlEgpGRER599FG+/OUvk0gksNvtLFy4EJ/Px8mTJ0kkEqiqKva1jnQ6zfHjx+nv76empkYU0XR38ubmZq677jqmpqZE4WPVqlWsXLmSM2fOsHv3bkGABwcH6evrE8csgNVqpa2tDavVytDQEA899JA4/vUxiePHj1NdXQ0Uzye607juPt/f388DDzwgCkf6NuhFEn07JEkSs+D33nsvdrudrq4uEYWnqirHjx/n9ttvFw7vyWSS8fFxbDYb1dXV2Gw2HnjgAXp7e/n7v//7381J5Y8AsixfkizyEul+bXjTkW4oVvgunNG7FAdgCSWUUEIJb3y8GUzEflPoHW59ZEs3tXojQJeG33jjjYLE6F1KXYa8ePFiQQTb2trIZrNce+217N27l2w2SywWY8eOHUxNTQn3Z1mWMRgMBINBpqamxPyrTohSqRQjIyN885vf5L777qO6uppoNPorHfR4PE5fXx8Wi4WhoSHKy8vJ5XKsWrWKtWvXYrFYUBQFq9WKy+WipqaGK664gmw2y0MPPcSzzz7L/v37Ra6yLMusWrVKZFYDvO997+O2224jl8tRVVVFMpnk5MmTRCIRYap2IfTvxoEDBzhy5AgHDx7kgQceoKmpienpaZ577jlBhPRoLUmSqKys5B3veAcnTpxgcnKSU6dOcfz4cWKxmMgbNxqNjI+P4/F4eOtb38q2bdsoLy/nr//6r4V5l6IowhzNYrGISLLPfvazwoDu+PHjTExMUF1djSzLgsSlUimefPJJjh8/zrXXXsvatWvxer3cfffd/Nd//Rfd3d1omiaKI7q8vaqqSjw2MDAgZOMXupibzWYqKyvFDL+ec57NZi8iwjU1Ndx7772UlZXR2dl5kRt6JBIRsuh4PE4ymWR0dJSf/exnYi4ciiR03759KIoixh1kWRaqg0QiwcDAgIjZmp6exul00tPTw44dO9A0DZfLRUVFBS0tLVx11VXccMMNrFu3jo0bN2IwGCgUCnzrW9/ic5/7nOjqT01NkclkxPpKkoTdbmfevHnce++9bNiwgW9961v09fWRTqfJZDLs27ePq6++WqgL3G438+fPp7W1lXPnzmEymbjjjjsYGRmhvLwcu91OKpUiGo2K0YTjx4+jqio1NTX8/d//PWvXrhWz5b/4xS8IBoPIsiyKD/rn/rWvfY1Dhw6xfv166urqSKVSHD9+/JJ0gf/YcSkUvr/vnO43Ct60dw8XzuiFQqE3pHlCCSWUUEIJJfwuoRPvcDiM3W7/nb3P71spVl5eTn19PU1NTdTU1IibRL0r2dfXx7lz52hvb8fn84lOqdfrFYZWw8PDnDlzhsHBQTE/q3dYs9nsRTPWOjRNE3FiiqKwfv16ZmZmhNtzoVAgFAoxOjpKdXU1TqeTcDiM2WymoqICm80mTNsuNAKz2+3CMOz666/H5XLh9/tJp9MkEgnhri7LMtlsVsR76TJmfUZdX6Y+m6zLfPVur759ejHBaDSKmffBwUHsdju9vb2sXr1arGMkEmF8fBxZltmzZ4/odCqKgslkIp1OMz09TTKZxG63U1VVhcPhEFJrvRvu9Xq54YYbcLlcYmY5Go2KDrdehNDlz7pZmt/vZ9euXezevZve3l4uu+wyoSKwWq3cc889PPzww8zMzNDW1sb4+DiSJNHe3i6ipgCef/55oTbQlQ664ZvRaMTtdgsptJ6zrXf8PB4Pb3/727nmmmtwuVxiG3T/BL/fz44dOzh8+DBerxej0UgkEuHcuXPE43Exw61vt96d16XqV1xxhZj9/+xnP8vp06dxOp1s3bqVW265hbGxMSYmJhgcHKS3t5eJiQksFgtLly5l48aNVFZWYrfbxfLf+973smTJErq7u4HieSCbzV50DtA/50KhID5v/disqalhxYoVItJK715fqOzQu+yNjY10dnbS0tKCz+cTYxyBQIC6ujo0TWPLli2sW7dOmDuWlZWxYcMGxsfHMZlMbNq0ScyCT0xMcPLkSaampjh48CBLly5lcnJSqHZ+Z/gjU269HpQ63a8Nb1rSDS8Sb/3CU0IJJZRQQgkl/HZwOp3C+fqNAkVRRObzhdnIsViMn//853zpS1/C7/fz53/+56xdu5Z58+aRSqU4evQodrudVatWCQM1g8FAb28vkUiEtrY2JEmit7dXZEkDF5F6KBYxvv3tb/Pwww9jsViEnNlutwupsz4uZ7PZGBsbY3BwkFwux7JlyzAajQQCAfr6+li5ciU+n090lpubm8VowI9//GNhcjUyMsLQ0BBTU1NiFru8vByLxSLmXY8cOUIkEhFdW500XUj49Dlpj8fDzMwMw8PDPP300xw+fBir1YokSVx77bVkMhmi0Sjd3d0cP36cvr4+zp8/TyaTEaTX6/USDAZFXJUsyxw4cACPx8PU1BQOh4OFCxfy7ne/m2uuuYa6ujoMBoMwvdNN32RZpr6+ns2bNzMzM4Pf76e7u1vkk4+PjxOJRDCbzYTDYRKJhChArF27VrjQR6NRamtrcTgcNDU1ce7cOe6//34OHjxIJBIR4waSJJFKpURRwuPx0NTURH9/P3V1dZSVlTF//nzy+TzV1dXceeedbN68maqqKsxmszge9IKHpmn88pe/ZGBgQMxBDw8PC+Ovj3/841x//fUEAgG++MUvcuDAAUG6a2tref/734/D4eAnP/kJx48fx2AwsG3bNt75znfS2NjIokWLuOaaa4jH4xw9epQnnniCQCBANpulurr6ogKBLMuUlZVx5ZVXsnHjRlKpFJFIRHTBddfx/v5+XnjhBUFwdbO/yy+/nK1bt4pItpGREerq6jCZTKIb39vby8GDB4UsPxAI0NzcLMz0dOXJFVdcIYzqPB6P+NxaW1v5zGc+w5o1a3C5XLS0tCBJEl1dXRw+fBiz2YzJZGJycpLx8XFh8lcaH/rNUCLdrw1vatINxQuG/kUvoYQSSiihhBJ+e9hstjcU6U4mk8K0S5fNZzIZDhw4wP/7f/+Pvr4+AH7+858zOztLQ0MDsViMgwcP0tHRIWZFc7kc8+fPx+v1kkgkuO666wgEAjgcDg4cOEAulxPdPZ0s6je0hUKBRCKBw+Ggvb2dVCol5q/T6TSNjY1YrVZCoRB+v5/JyUmmpqawWCzY7XZeeOEFzp49y5133slb3/pWGhoaLop16unpEcuvqqrCaDRy/vx5pqamGBwcpK6ujnvvvRez2UyhUODs2bP09PSI7GZAyKN1GbPe5XY6naiqyt69e0mn04yOjgrJsd/v55e//CWKojA0NMTs7CyHDh0ilUoJQqd3iy0WCyaTCbPZTCwWo6amhrKyMqLRKLlcjuXLl1NbW8s73vEOnE4nkiSRyWQIhUKcPXuWr33ta4TDYQBRNDlw4ADHjh0jEAgwODjIxMSEmKlubW1l3rx5wmDu7NmzTE5OUigUqKiowGQysXbtWkwmE0ajkdHRUQ4dOsTQ0NBFc+J6pzaTyZDNZjlw4AB79+4V8XHNzc1s3LiRzZs309nZycqVK0Vn3uPxYDKZLlIQuN1uVq1aRSAQwO12U1VVRSqVErLylStX0t7eTltbG1dccQUHDhwAive4+vGox4p1dnbi8/m46qqrKC8vv2hsQu+Kt7S0CIO62dlZKisrRawYvDgDr+d0FwoF0um0UCfMzs7y7//+7xw8eJBYLCaM0QBGRkbEnHo6nWZqakqMGUiSJBQM2WyW2dlZNE3j8OHDdHR00NDQII4HPT3hwpl6vcihKAo2m43169cLpURNTQ19fX0kEgmuvfZa9u/fz7lz5wiFQiSTSUHES/j1KJHu14Y3PenWDU9K8vISSiihhBJK+O2hqiqhUOgNNafncrmErNflcmEwGOjr6+PHP/4xY2NjoqMbjUY5ffo0Z86cIZlMcv78eQYHB5menqa2tpapqSm6urqYnZ3FbrfT0NBATU0N69evJ5VKMTU1hc/nY8WKFRgMBp599llBkMrKyqisrKS9vZ36+nocDgcjIyNMT0+Ljl88HmdsbAy/308sFkNRFPbu3Yssy+zfv598Ps+XvvQldu/ezZe//GXcbjepVIpTp06xY8cO/H6/IDEf+9jHCIfDPPHEE/T09GC321myZAnXXnstUCSSmqZhMBhE5JnubH1hvJPuxj07O4vJZKKlpUUYvA0NDTEyMsK//uu/iuJAPB4XkVTNzc3C7dxut+P1emlsbKS1tRWfz0ehUODYsWM0NTURjUaFzFvvoOdyObZv386ePXv43ve+RywWE07tgUCAn/70pySTSbG+OtHUzbj0efvJyUl+8IMfkEwmufHGG6mtrcXr9WK1WrHZbELivWjRIoxGo4hC083F9GPnzJkzpFIpvva1rwlyGgqF+MQnPkFbW5uQkQcCAZ555hmGh4dZv349mzdvFnL+bDbLsWPHkCSJe+65h9bWVjZt2sSZM2f4+Mc/TjweJxaLkU6nCQQCDA8P4/V6yWQyrF69mltvvVUYHZpMJv7iL/6CiooKWltbyWazJJNJcQzoju6NjY309fXxyCOP8OCDD2IwGPjMZz7Dpk2bhEx+ZmaGj3/842zfvh2Xy8U//uM/sn79eoxGIzt27OCnP/0p6XQah8OBqqrk83lUVeXMmTPs2bOH66+/noGBAU6ePElDQwMLFy7E5XIxMTHBiRMnhGpAV0SMjIwQDAZF3NuFow26873eSAOwWCxUVVUxNDTE+fPnOXjwINFolCVLlrB582buuusuvvvd73L//feTzWapqqriz/7sz/4AZ5s/PZRI92vDm5p0x2Ix4Yj5RjKAKaGEEkoooYTfB1RVJRAIkM/ncTgcf+jVuWRwOBwi0kqSJJLJJIlEQnTEdNn4/Pnz8fl8In6ru7ubcDjMmTNnGB8fZ3R0lHA4LLKvf/jDH1JbW0tlZSXl5eVUV1ezdOlS1q1bRyAQIJfLEQwGMRqNLF68mKqqKubNm0c2m8Xv92M2m7njjjvEjK0+622xWMjn83R0dFBXV4csy0SjUaanp8nlcjgcDkZHR7Hb7UQiEYaHh8nlcuTzeWw2G4sXL8blclFZWUltbS2ZTAaj0UgqlRIEtbKykiuvvJJAIEA4HCYQCJBMJoWMWlEU0QHVO+CnT5/GbDbT1tYmnj8zM0MymRSGWLps3m63i4zvRCIhZrG9Xi8rVqzAaDQyPDyMz+cjGAwyMTFBMplkdnaWuro6fD4f09PTPPTQQxw7dkwQbkDIlnVDLX19jUaj6MobDAZhIjc2NoYsy3g8Hmw2G2vXrqWyslK8Vi9AuFwuli1bRiQSQVEUsW36LH0mk2FwcBC/3y8M1/TPXHeu11UNY2NjPPHEE4RCIRYtWoTH42FsbIyjR49y5MgRzGYzN998M62trTidTjweDx0dHXR1dfHwww/T09NDJpMhHo9TVVWF3W7n/e9/P0uXLiUQCGCz2YhGo9jtdmw2G/l8nmAwiN/vp7y8XHSa9c/L4/EQDAbp7e0ln8/zV3/1V3zgAx/gb/7mb8jlcjz00EP88pe/FLPS//3f/y1i9XQndj13Xnd8z+fzBAIBurq6qK6uFu7y+v5oaGigt7eXvr4+kT0OsGrVKlavXk15eTmKoggnf5PJRDabZf/+/fT09DBv3jxWr16Nx+NBURTi8TihUIijR4/S3d2NJElUVFRgNpspLy/n2muvpaenh5mZGZYsWcLVV1/9+z7V/EmiRLpfG960pFsn3C6XC7PZXJrpLqGEEkoooYTfAjrhzuVyeL1eMef7RsBnPvMZTCYTdrtddJS9Xi/33nsv733ve+nu7kZVVerr63G73czOztLV1cXu3buBojGWw+EQUm6dhAaDQaLRKENDQ9hsNi6//HLq6+vp7OwUMUaDg4MsX76cmpoampubMZlMjIyMUCgUWLJkCQsWLBCz5mVlZdx9992Ew2EaGhqw2WxCuXfPPfdw7tw5Dh06xLx584Q01+l0Mn/+fJqbm7FarSLbWo/juuOOO8Sca2dnJ9lsFrPZTE1NDVu3bkVRFIaHh3nmmWc4f/48gJDI6/JqfXuTySRTU1PU19dz5swZJiYmyGQy4nMuFArYbDZWrFjBzTffjKZpbN++nXg8LqLYbrrpJhobG0mlUuzevZtTp05x+vRpwuEwfr8fVVU5dOgQN954IydPnqS/v5/Z2dmLnMEvXCd9HfWufVNTE6FQiEwmQ39/P3v27KGpqYk777wTn8/HokWLqKysFNunH+f5fB6j0cjdd9/NihUrGBoaore3l97eXoxGI+vXr8fpdNLS0kJNTQ2Tk5Ooqip+12e3dTO3cDhMLBYjGAwyPT1NT08PP/rRj9i7dy9QnFPWXbz1mfl/+7d/46tf/SqPP/44hw4dAooeC5dffjn33HMPK1aswGw2Mzk5ycGDB9mxYwcul4t169Zht9sxGAwis1qPmdO7yJqmsWjRIpEfPjo6yle+8hWam5tpbGxk165d4tjWNE2oLtatW8db3vIWrrnmGrq7u9mzZw9PP/00oVCIaDRKNpvl9OnTGI1GvF4vZrNZxJ/19vayd+9ehoaGSCaTSJJEXV0dq1evpr29XXTZ9Q59Mplk3759fO5zn2NiYgKj0ci8efP4h3/4B+GQ7/f7GRsbE5/to48+Sn19PStXrmTevHl89KMfJZ1Os2DBAqqqqi7xmeSNiRLpfm14U5LuZDIpYg50x8USSiihhBJK+HVIJpN/6FX4o8CFhLu8vBzgDUW6o9Eo8+fPx+12YzQaqampIZvN0tzcTD6fp6amhv7+ftLpNBaLhVWrVlFVVcWRI0cIBoPceuutFAoFcrkcp06dIpFIAAizMX0GVjdo0zt9/f39jI+Pk81mcTgc3HPPPWJ2d3x8HJfLRS6XEzetiqJQVVWF2+0WnVNduedwOFi2bBkej0dEfOlO6LOzsxiNRmpra3E6nUImnUwmcTqdNDQ0UF5eLsymysrKxH3TggULcLlc7N+/X0igdcl5WVkZfr+faDQqOsKSJDE8PMzk5KTIWtYfr6mpYc2aNbzrXe/CbrfT398v5Ol2u51t27bR3NyMwWAgFouJnHGdcOtGYkePHqW9vV10/aurq8W93oV4uXxui8VCMpkkFouRSqWIxWLU1dXh9XovylXXpfO5XE7IyNPpNB6Ph3nz5qGqKpWVlXg8HoxGIy0tLXR2dhKNRnnXu97F448/jtvt5v3vf7+Iqr3QaTwej9PU1CRM4PQ8dI/HQ3V1NfPnzyeVSl1kXKdLt2dmZkQnXY8T6+vro6Ojg3g8TiQSYXR0lJMnT9Lc3MzSpUtxuVxYLBYAAoEAmUyGkZERkQFfVlbGsmXLcDgcJBIJCoUCqVSKL33pS6xevZpQKERZWZkw+cvlciSTSdxut0g1sNls7NmzR3T+dZM5XQoeDAaZmZnB4/HQ3t4OwMTEBOPj48LxPxKJiP3S39+P0+mkoqJC7IeJiQnhc5BKpeju7ubpp59m8eLFBINBUeyZnp6mUCgwMjLCD3/4Q1RV5eqrr6a2tpbx8XHC4TDpdJr58+f/Ts4pfyx4adTfa0GJdL82vOlIt8FgIJFIUFZWJk4KJZRQQgkllPDrEIvFBHl6s0OP19GJ2RuteF1RUYHFYhEkVpZlMSuqO3sfOHCA48eP09nZyd13343H4+G///u/SafTWK1WMWM9MzPDyMiIIMuKogj36zvvvJPW1lZmZmY4dOgQx48fZ3Z2lpGRERYsWMD3v/99nE4nq1evxmQyMT09LWJOdcKkd/50ibO+3vqMfUNDA4VCgZmZGfL5PENDQxw5ckQktyxcuJCenh4WLVqELMucPXsWt9tNMBhE0zSi0ShGo5HLLrsMn8/HmjVrWLBggSDRenGhqalJFBBqamqIx+NCJv3888+TSCREcaGyshKv18v/+l//iw0bNuDxeMjn87jdbrq6uohGo9xwww00NjZiNBrx+/2cO3cOo9HI1VdfzU9/+lPRYdU0Db/fz549e/joRz/Ktm3b8Hq9fP3rX+cHP/iBIOb6Pszn82I9c7kchw8fFvFt8Xicn/3sZ6RSKS6//HIAduzYwdq1a9mwYYPI4E4mkwwMDGC1WrHb7bS0tNDW1kahUGD+/PlYrVaqqqqoq6ujurqaj3zkI9xzzz04nU4xD65Hao2NjXHu3DkkScLv9zM4OMg//dM/0dTUxLJly7jnnntoa2vj5MmTHD58mGPHjnHZZZdRUVFBJpOhpaUFKJIpfV+cOHGCZDLJvHnzhJHdiRMn2Lp1K0uXLmXt2rUi6q6lpQWPx0MgEBAFGY/Hg9lspr29nU9/+tPiffP5PKlUipMnT1JRUSHm6e12uyi+6ce5LMviGNWVBBaLBa/Xy4YNG1i/fj2tra2Mjo6KDnVNTQ0LFizAYrHw3HPPie/QqVOnOHDgAFdccYWIGlMUhRdeeIGjR49iMpmwWCzYbDZWrlyJLMs888wznDp1Sqgr9DGJeDxOV1cXe/bsweFwEI/HeeaZZwiHw5w8eZKxsbHf01nm9w/9PPF6Ucrpfm14U5JuPa+yhBJKKKGEEn4T6CNJv8ss6j8V6DFRVVVVb1i338rKShwOh+iKvrSzoxt66Y7UFosFi8UiOn6hUEg4ZetdX/31RqOR6upqtmzZIubBBwcHef755+nt7RUd1MHBQXw+H7IsMzs7y/LlyzEajcTjcWFKpbs9Hzt2jJMnT2K1Wuno6BCu1Q6H4yInbE3ThGlWJpNhenoak8nE1q1bcblcJJNJXC6XIF+jo6PYbDZqamqw2+3itTabjbvvvhubzUZ3dzdDQ0OoqirM0BKJBPPnz2fbtm2cOXMGm81GKpUik8kgyzItLS2sXr2ayy+/HJfLJQobVquVyclJPB4PLpeLeDxOPB7nwIEDzM7OEolEKCsrY+PGjTz77LMkk0nRUXc4HMzMzLBw4ULq6+v5m7/5G2KxGD/84Q+B4v2fxWIhk8kImbhOVOFF+bmqqqRSKaanpzl//jwej4ennnqKc+fOcdlll2G329m3bx/Dw8MkEgk2bNggOty6mZv+OeombjrJt9lsoturv09fXx9PPvkk3d3dYn56bGyM/v5+Nm3axLx58zAajeTzebZv304gEECWZdasWcPU1JRwhocXXcX1KLaf//znuN1ujh8/jsvl4pprrqGzs1NI1PXn67nfY2NjjI6O0tnZyfz584nFYsyfPx9VVbnllltIp9P8/Oc/Z3R0lEQiIdz59Ui6dDrNzMwMTqdTbGs+nxeyclVV8Xg8rFy5ks2bN+P1ekVcmB5PV11dzSc+8QnKy8vZtWsXsVhMdOvPnj2L0WhkyZIlQmKeSqWwWCzkcjkxJhEMBjl06BCzs7OiI66qqpjj11UM27dvJ5VKsX//fjKZzCUhpH+s0N3gL4WHVanT/drwpiPduoFFCSWUUEIJJfwmuNADpGS6iYgweqMSboDm5mZyuRzxeByr1XqRbBuKxMxms4lM4fHxcerq6jCbzSSTSX72s59x9uxZurq6BLHTb/oBGhsbMRgMjI2N0dXVxfPPP8/Zs2eF0ZfJZCISiRCLxejs7OTGG2+8KIcYEKRJN1/70Y9+RCgUQlEU7HY7d911Fxs2bGDhwoXkcjnMZjMWi4Xa2lohQc5ms4yNjTE+Pk5lZSX5fB5FUfjJT37C4OAgiqJwzTXXMG/ePJxOpyCMALW1tVx99dVks1nOnDlDd3c38Xgck8lEdXW1IHfr1q2jvb2ds2fPcvbsWcLhsDDEAi4ijKdOnRLzzX19fUxOTtLT08OpU6fQNI1ly5YBsG7dOvr7+wXhWrt2LVdccQVr164ll8uRSqXweDysWbOGJ554gkwmg8PhYP78+fT19ZFOpwXButAFW1EUFi5cyNatW9m6dSszMzP09vayf/9+IX/u6enh6NGjbN++XUSNXXbZZTidTjRNo6qqiunpaWGgd/z4cR566CEmJyf55Cc/yfr167Hb7eRyOX7xi1/wne98h9OnT5NMJoVEvFAoMDExwde//nXi8TjpdJquri6ee+450d2Px+PChG98fJwdO3aICLFCoYCmaZw+fRpJkjh//jxbtmyho6NDZFHry8lkMkxNTfEf//EfTE5OCiVDRUUFZWVlTE9PU1VVJeLFNm3aRH9/P9/85jc5d+4c09PTIuNalmU2bNhAU1OTKIa8733v44knnhDS8MbGRi677DIaGhqwWCyUlZWRz+cv8gVobm7mYx/7GO9617s4e/Ysjz76KPl8nunpaeFTMDU1xfbt2+nq6iKdTiPLsii8aJqGLMuYzWYxe2+1WkXhRS9UzczMiO+Tw+Ggurr60p9M/gigE279c7gUeLMS59eDNyXpLqGEEkoooYTfBBcSbqfTWZrppphXbTC8sW8f9O2bnp4GoKamBqvVelFmdygUwmw2C7dufQ5XJ1m6u7Ie13ThHHYsFqOnp0d0LfV5bIPBIIhvfX29iAxzOp1ijvfC7ru+LhMTE2SzWdHJq62tRdM0hoaGqKurIx6P43A4sNlsDAwMCMKtE/zGxkaRPZ3P5wmFQoTDYTweD1VVVSLa6sKOvT5PvmLFCk6ePMnExASRSIRsNsv09DQ7d+4klUpx8803c+2113L11Vdz9OhRfvKTn3D27FkCgQDHjh1j3bp1QrL9i1/8gnPnzqFpGmfOnMFisdDT08Pk5CRQLIYcPHhQkKfly5fT3t7Ohz70IZxOJ7OzsyKKTe+E2u12QagnJycvMsfT1QK6qZjL5eIzn/mMmGWuqKgQudgNDQ2CqA8MDBCJRMjn83R1dYnIMkmSsFgslJeX093dzeHDh/na177GmTNnKBQKfP7zn+ezn/0sCxYsEEqDQCAgZrV16J/x6Ogou3bt4vz58wSDQRRFweVyEYlEmJiYoKKiAlVVueqqq5BlmUcffVR0dXO5HKOjo6TTaWKxGOfPn78oz1on5nq3u6uri+npaVpbW+ns7BTO4dFolEAggNFopKGhQUSnLVy4kHPnzjE5OSmk5A6HgxMnTrBixQqhKK2pqeE973kP3/nOd0in02zcuBG73S4k9vqx9NLviJ6bvXTpUo4dO0YikSCfz+PxeDh9+jQTExOcP39ejA/oZm/l5eVks1lkWcbr9YoMekAoPFKpFJOTk0Ip0dzczKpVq/irv/qr13/y+CNDLpcjEolgNBrx+XyXxDi61Ol+bXhjXzVLKKGEEkoo4TVCj4jSCXcJRVxoRPVGRj6fZ3BwkGPHjuHz+Vi1ahWdnZ0UCgX6+vpQFIXGxkYWL14sorhOnTrF0aNHSSQSeL1e1q5di6Zp/PSnPyUej4vu36lTp6iuruayyy6jra2NpUuX0tTUxCOPPILBYMBqteL1eoWjeTqdFnOsL5US53I5jEajIBf19fUoiiIiuXbt2iXIlizLPPXUUxw+fFgQzra2NrZt24aiKORyOQYGBjhw4AAGg4GlS5fi8/lE91gvDOg33QaDgdbWVrZu3UokEiGdTpNOp0VRIp1OEw6HcTqdYkb4lltuobu7m3PnzvHud7+bdevWsXXrVlRV5cSJE0KKffLkSVpaWnA4HGL29ujRo+TzeWHs5fV6yeVy9Pb20tLSwvDwMLt27cJsNjM8PExFRQUej0cYlaXTaSHN1wmn0+nkLW95CzfeeCPz58+nra0Nm80mnMUjkQhNTU3YbDZisRjPPvss58+fF02cqqqqi4pQkiRhtVqpra3lqaeeYmpqSpjmDQwMcPjwYeGs3dLSwvz588Vc84XO6Hp+92OPPYYsyxgMBqqqqkQEnJ5lfc0117BixQqWL19OOp3m7NmzBINBLBYLhUJB5Jnr8XGpVIpoNMrRo0eprKxk3rx52Gw2Vq9ezd69ezlx4gR9fX20trYKVcvp06d59tln2bx5s4hvu/LKK3n88cdJp9Miki0ejwvpuV6gMZlMvPOd7+Suu+4Sz4NiQQGKZmtlZWWiy53P58UIQCqVYmJiAk3T6OzspK6ujqVLlzIyMoLFYmFgYABN00in01RUVLBixQoURcHtdhMKhUQBwev1kk6n2b17Nw899BAzMzNixttkMnHzzTfz0Y9+9A3nXq6PGpjNZjGqcilQIt2vDSXSXUIJJZRQQgkvgX5j7/F4SoT7TYhMJkMgEKC7u5sjR47Q1NREU1MTHo+HkZERdu3aRSKRoL29nWXLlokuX3NzM8PDw2zevFnc8KfTaUKhEP39/YRCIUHe9K7ymjVrcDqdbNu2TXRm9S7o9PQ03/3udzGbzWzZsoWampqLSLfe5R4aGmLp0qUsWLAARVHo7e3l7NmzOJ1OamtrSaVSzM7OEovFGBoaIhaLIUkSNpuNd77znZSVlQnCo0cvNTQ0UF1dTW9vL7lcDqfTidvtpr29HYPBIIzJ9Agqn8/H9u3b2bNnj+i89/X10djYyPnz56moqBDrrUtcVVUlFosJ+f3q1avZt2+fWD+/348syySTSdLptOhO64ROd9D/xje+IaKsdu7cicPhIJfL4ff78Xq9pFIpgsEg2WxWdHj1ooMsyzidThYuXIjb7SaVSqEoipjx1V2tq6urMRgMDA0NCXKsE2eDwSCWp88xu1wu2tvbRbybzWajo6ODtrY2nE6neN/LLruMAwcOCIWDzWYTOea6GkFfts/no76+nlQqxfj4OD6fj8HBQebNm4fD4eDyyy8nnU6LGC6/3y+Wm81mBVk9fPgwX//611m1ahV/+7d/i8/n49Zbb2VsbIyenh7uv/9+Nm3ahMPhwGq10tTUxFe+8hX27dvH29/+dtasWcPMzIzohuuFuAujvHRDtWQyicFgEJn3+ujA/fffTzgc5u677xZRdPr+0Gfew+GwOHacTic333wzdrudefPm0dfXRzabJRQKUVNTQ1lZGR0dHUiSxJEjRwiHw2iahtfrpbq6Wpj+6VAUBVVVcblcrFix4pKS0j8W6M7yl3rbSqT7taFEuksooYQSSijhJdC7SSXC/ebEd77zHWw2G+FwmHnz5nHFFVfgcDgYHR0V3jAul4uGhgbKyspwuVwYDAba2tqQZZnjx49TVlZGa2srDoeDLVu2MD4+TigUYnJyku7ubsbGxsSspd/vp6ysjL/4i7/AaDRy/vx5vva1r/HEE09QKBQ4fvw49fX1fPGLX2Tjxo3iplfvMtbW1pJOp5mamkKWZQ4ePEh/fz+FQgGHwyG6srq0VpIkKisref/7388HPvABjEajmA3fvXs3HR0dpFIpDh06xM6dO0WO83XXXUd1dTVms1nMuesSdd2QSze1kiSJWCzGjh072L59OyaTiVwuRyaTYcGCBbjdbpYtW8YVV1zBpk2bhLT+7NmzfPe73+XQoUNMTEyIzqdudGaz2YRz98zMDLOzs+zYsUMQ2UKhQCaTwWazUVVVxcqVK2ltbWXXrl2Ew2Gi0ehFmd0ul4tNmzaJOCm/34+maUxOTjI8PMzo6CgNDQ3ceuutmM1m/uzP/oydO3fS3d1NbW0tHR0dgszqRnGpVEoUMebPn082m6Wjo4O3vvWtdHR0kMvlMBgMDA8P8+Mf/5hYLIbVamXjxo3U19fzwgsvMDY2JnLILRYLVquVLVu20Nrayr59+zh//jwHDhwgHA6zatUqZFkWyopHHnmEYDAo9rssyyxevJhCocDs7Cw//elPGRgYEOMIbrebG2+8kS1btnD33Xdz9OhRHnzwQe666y4cDgc1NTUMDw8zNjbGsWPH2LhxIx/72Me49dZb2b9/v/jeqKrKkSNHmJiYwO12MzY2xg9+8AMsFgsf/OAHqa6uZmJigm9+85s88sgjSJJENBplw4YNmEwmoT7QVQbhcJijR4/S3NzMihUrRISf3W7H5/OxdOlS0uk0BoMBh8OBoigUCgVaWloYHBzkkUceYe/evSxZsoRcLieMxCRJwul00tbWRkNDAzfccIMYA3kjQZIkvF7vJS8mlEj3a0OJdJdQQgkllFDCS6Df2JXw5sQPf/hDKioquP3221mzZg0dHR1iLjSXy9HZ2UkoFGJwcJBYLMbRo0epqKgQrsj79+/HYrGwePFiMUvd3t5OPp8nnU7jcDiYmpri8OHDbN++nQULFnDbbbexceNG4YAuy/JFxlqTk5P8/Oc/p6KigurqamFsZjabRRxqJBIhGAwyOTkpYpKSyaTImDYYDNhsNrxeL//2b//G5ZdfLgjOxMQETzzxBNPT03i9XhGPdfz4cVKpFH6/H6PRyNq1azEYDBiNRqLRKGNjY+zevZvTp08zODhIKBQSOda6Q/js7KyIlVMURUjS161bR1tb20Ud0/nz57No0SKGh4eJx+PC/V3/TKqqqvjEJz5BVVUVTz/9NEePHmVgYEDEgYXDYeEAn8/n+eQnP0lLSwsbNmzgG9/4BmfOnLmI3HV2dorYrenpaUZGRmhrayObzXLu3DnxYzAYuPnmm7n++uu59tprKRQKBINBTpw4wVNPPcXIyAg2mw2bzcbExARnz57l2LFjdHd3UygURHd/x44duN1u9u7dy7e//W1ROEkmk3i9XhYsWMBll13G008/LWK6KisrWbhwIXfccYcgtsFgUHhOHDp0iCuvvBKbzUZtbS12u1109SVJwuVy0dLSIoojl19+OePj48TjcTH/DOB2u/nsZz/L//yf/5Px8XEA8XqPx8P58+fJ5XJ0dXUxOTlJTU2NmDHX1Qf68WgymTCZTDz55JOEw2Eef/xxvF6vmGPX9+eF4wqSJIlRgFAoRDAYRFVVDh8+jM/nY/Hixfh8PuFfoKsv9G6+fowbDAZmZmbEMat/ZwCRbe7xeMjlcmzZskW89o1GBvXkgkuNEul+bSiR7hJKKKGEEkp4Cd7oRmElvDr6+/uZmprirrvuYt68eVgsFkFMjEYjZrOZsrIy/H4/L7zwArt376auro7169cLJ3Kj0cjIyAgVFRWYzWYxe6p3lAcGBojH48LwSs/W1rtTeu62HvNlMpkIBoP09fURCARYtWoVJpNJZD8///zz5HI5NE2jtbUVQMiy9flVo9FIe3s7S5cupbm5GaPRiKqq5PN5Dh06xOOPP87g4CDnz5/HarWK+WqdrJvNZk6ePClisHbu3MnIyAhnz54ll8tht9tFFrckSdTW1rJs2TKeeeaZi+K5UqkUBoNBZIzrRQJFURgZGeHIkSNks1k8Ho8oAASDQaDY6Z43bx5Llixh4cKFBINBnn76ac6ePUtPTw+zs7OCVGuaxrx582hqasJkMjFv3jx6e3tFp9tqtXLbbbdRV1dHLpfD7XazdOlSADo7O+nq6qKrq4tAIEAwGBSxVrqpnJ6LnslkeOGFF3C5XFRXVzM7O8vZs2eFgVp1dTUWi4VwOMyhQ4dEJJjeEYdiwaGuro5169aJ7vK2bdvE6xsbGykrKxMFhXQ6TTabxe/3U15eLkYP2tvbhQpBVx60tLRQU1MDFIseS5YsYceOHfj9fsbHx6murhbHd3t7O+9617vIZrNiO2OxGMPDw+L7oRNlPW9djw+TZZkrr7yS9vZ2ysvLcTqdvPe97xXO+jMzM6TT6YuUBqtWrcLpdIr30ue4c7kc3d3dhEIhIpEIPT09DA4OYjabhTO5nhetjzvoOeX6d6i6upply5bR3NyMw+Fg3bp11NTUCDf8uro6Ghsb37Ak8He1XSXS/dpQuqsooYQSSiihhBJKuADxeJxEIsH3vvc9brjhBlwu10V/12dvm5qaOH36NCdOnMBsNjMxMUF/fz+Tk5MoisKhQ4dwuVzCyXp6epq6ujrmzZvH+vXryWQymM1mKioqiEQigpRGIhEhnfV4PCxdulSQtX/8x3+kqamJq6++mltvvVXMCs+bNw9VVVm8eDErV65kenqagwcPcv/99zMzM4PBYMBut/MXf/EXbN68GavVKqTtzzzzDN/4xjcIBoOCoOu53DabTRh79ff3s2fPHtE9v7CDbbPZqK6upqqqipGREXK5HPfeey9XXnkl9913H1/5ylfYuXMnLpeLt771rSxevJhwOMzo6CgnT56kq6tLzE8HAgGSySQNDQ1s2rSJqqoqHn/8cc6dO0coFBKSa6/XS2NjI01NTQwNDfHFL35REF29Q+tyuXA4HPh8PtauXcuBAwcIBALYbDYWL17MlVdeicvlolAo0NzcjNVqJZVKcfz4cbq7u0XHf82aNZhMJtEZzufz5HI5mpqaxOfh9XpFBNZzzz0nDPC2bdvG1q1bmZ6e5oUXXqC3t1fMHOuQJIn6+np8Ph9lZWXU19cLUnlhXF2hUOCOO+7gF7/4hSiYLFiwQJi/zZs3j7q6Oqanp/H5fNhsNgwGA8eOHWNwcJBVq1bh9Xqx2WxEIhG+9rWv8bnPfY7y8nIA0f3Xs7e7u7v5yU9+QjgcBoqEu7a2Fq/XiyRJrF69WsSd1dXVsXr1akHAzWYzf/d3f8dHPvIRHn74Yb74xS8yNDQkusp63JvuzJ9IJDh9+jRf/epXyWaz2O12amtrcTgceDweenp6SKVStLW1YTabKS8vF3P0uVxOjFjs27eP/fv3E4/HmZycxGazXRQZlk6niUajyLJMIBCgsrJSFCrerITwt4F+XL6e178ZUSLdJZRQQgkllFBCCRdA75L29vZy/vx5qqqqXvZmXJdz6x3q06dPk8/nqa2txe1243K56Ovr45vf/CYDAwPkcjk8Hg/33HMPK1eupKWlhd7eXoLBoCDANpuNkZERrFYr69atE+TSZrPR29vLzMwMMzMzhEIhQUorKioEAW9oaBDu2TMzM+IGWZIk4ZguyzKhUIjjx4+za9cu9u7dSzAYvChOSJ87NhgMVFZWkkgkRP60LlvXO+tQJIMNDQ1UVlYKx+y6ujqampqQZZl77rmHLVu24PF4WLduHUajkdnZWQ4dOsTIyAiTk5MEg0Gi0ajIXc7n87jdbuHGnslkiMVidHV1sXr1aqA4R6znN09MTIht1QsjJpOJVCpFLBZjenpazF273W4qKytxOBwi2k2fbVdVlbNnzzI+Pk42m8VqtdLZ2SnM1FKpFAMDA8IcrqGhge7ubiFdDofDuN1uWltbqaqq4oMf/CBer5fJyUkOHjxIeXk5+XyeZDIpChq6edvo6CgVFRWie/vS406WZWpra3G5XKIgoCiKIOYGg4FrrrmGuro6JiYmkCSJY8eO0dvbi9FoFGRcHxXw+XyMj4+L/O5gMEgkEsFsNjM9Pc3999/Pz372M1EQcjgcIu87mUxisVhEwsPy5ctZtmwZoVBIFCHcbjdlZWXccsst7N69m+HhYWGYpudoFwoFFEUhHA7z6KOP8sILL+BwOFi+fDmZTIa2tjZyudxF2fQ66b8Q4XBYRIlNTEwIKX4kEkGSJGZnZzlx4oQYAZiamqKpqYnW1lZUVX3Zz7uEX0Wp0/3aUCLdf8TQNI1vHfsWzZ5mtjRvwaSY/tCrVEIJJZTw+qFpEDkD/t3QcDtYqy/dssd+AYUU1F4HRtevf34Jb0jEMjG+e+K7rKtfx+ra1cjSa+uspFIpzp07x5o1a4QcWpIkcrkcoVCIr3/964TDYRFhpc+dtre3U1dXx8jICL/4xS8YGRkhHo8X123OrVuSJJYuXUowGOTBBx8kFouxfft2GhsbcbvdnDlzRqxHNpslFouJLm+hUCCZTNLV1cWWLVtoaWmhs7NTPD+fz5PP50mlUiKLuKKigve85z1irvbAgQM8+OCDHD9+XJiL6XPOOonT3dFnZmZwOp0ihkon8npxAoombXrXNZvNMjMzw8MPP8z4+DiXX365kEhbrVZ8Pp+IT1u9ejWFQoFdu3Zx6NAhIpEIsixjNBopLy+nqqqKw4cPE41GyefzRCIRfvrTn7Jp0yZ8Ph/Dw8N8+9vfZnJyUpBu3Vnd4XAwOTlJNptl+/btHDlyBKfTicPh4B3veAe33347FRUVosNpNBpF7NWRI0eEY/i73/1uNm/eLFzKc7kcg4ODdHd3k8lkmD9/Pl6vF0VRmJqaIpVKkUqluPzyy7nppptE0aaqqoq77rqL+vp6crkcIyMj9PT00N3dTSqV4uGHH+bs2bMim91kKt73XShB1x25b7/9dn7wgx9QUVGBJElCnh+LxWhtbaWhoUEUVUZGRkgkEsJdvL29nZtuugm/34/JZGJ8fFzIuR977DEqKipoaGhgfHycXbt2EQwGsdls2O12/vzP/5wlS5Zgs9nIZDJks1nKy8tZvXo1q1atoqenh+3bt/PQQw+haRpvfetb+fd//3ccDge33XYb+/fvJxwOoygKPp+P/fv3k8/nqamp4Uc/+hHPP/+8yImfmZkRsvpUKsXo6CiTk5PMnz9fzH/rLv6JRILh4WF2797N008/zejoKKqq4vV6ue+++4Rz+uzsLE6nk4aGBvx+P08//TSpVIrrrrtOHJ+/NaK9MP0c1LwFHK2v6VzzspjaAakJqL0ezL5Lt9zXiRLpfm0oke4/YoTSIT6///MkcgnqnHXcNv82bu68mYUVC9+0B2wJJZTwJ4y0HyZ+CSM/gchZUAtgrYGGt1669+j59yKhP+ODmm1QfwuUbwBZ+fWvLeENg9P+03zxwBfRNI02Xxt3LLiDGztupMHd8Bu93mg0YjQaKSsrIxgMMj4+jtfrFV3TiYkJfvnLX3L69GkxN+x0Otm4cSMrVqwQ7tq6c7DRaMThcAgJ65EjRzAajWQyGY4ePUogECCdTpNMJgmHw1itVkKhkDDD0gmxTnj1edpwOCw6txdGLekRUalUitraWkKhEBs2bGDlypWCsO/Zs4dz586JAgAgiKfNZhMzw4CYk5VlWURgXThDq0dwDQ4OYrVaWbJkCaFQiEOHDnHw4EEsFgsNDQ1Cfg3FjqzePa2qqsJsNou58Hw+j8ViYeXKlaxatYo9e/aInHNN0zhz5gw//vGPyWazBINBuru7CQQConuqE3qLxSKM055//nlGRkaQJImFCxfytre9jaamJjGfrG+/LMsMDw8zNDSEoii0t7dz++23i06yHv+Vy+XYtWuXcIcPhUIsWLCAo0ePCiOx6upq4fCuu80bjUYWLlxIXV0dXq+XU6dOcf/993Py5EmGhoZIJBJ0d3ezZs0aoNjJ1wsakUgEm83GzMwMdXV1rFixgmXLlpHL5YjH4zgcDsxmM3V1daiqSiAQwOVyie69yWSio6NDZM43NzczNTXFzMwMZ86cEUR1YmKC7u5uZmdnOX/+PKqq4na7mT9/Ptddd50oVKRSKaanp4lEIpw8eZLOzk7GxsZ49tlnSSQSqKrKAw88QFlZGe95z3toaGhg8+bNTE9PCw+Dxx9/nCNHjmAymQiFQsIUDRBFn927d+N0OkVH/qmnnmL16tVUV1cLl3h9e5PJJMFgkFQqRTabFcvQ/QMMBgPNzc00NDRQUVGBz+djdnaW8fFxKioqfnPSnQ3BxFMw+jAEj0EhDZIB2i4h6R74b5h6Fs58FqqvhYZboWIT/IGbcCXS/drwpiTd/VNhMCTE75JaQNYK/MNP91MwvIYK12+IvJIk6Dl30WNPho0YCraXfX66EGU6EkdD41ximDNTn+f/7Pp3fMYWWm2babSsxap4fqP3/ovXu/IllFBCCRfg//v2c7/R8wxkaZdPsUzex3z5OBYpgYZESrNjl+L86LlTnFDdL/taGzFWKhefM4/t3kWSV47x+qgxQJWUJ58MYgr9N4Wu7xGkkmOFLZxW1zOr1f7adVbyKTyBGKqURHspWc/nfv1Gvwmwe/duMfsLRZJqtVr51Kc+RSgUuuTvpzgVPFs9Fz0WfjZMIVZ4+Rc0AHcCWRgZG2HHqR38Ze4vYQQ4B5wHXmVXzps3j/b2drLZLHv37mVsbEy4NI+NjTE8PEwgEMDpdFJXV8dHP/pRAMrLy5FlmaamJhRFobq6mpaWFs6fPy9ypicnJxkaGmJoaIhjx45x+vRpMSdsMpnweDyCSGcyGYxG40XEWJZlXC4X27ZtY9GiRUCRFOtdUUCQ9KuvvhqDwUBFRQVXXXUVdrudsbExfvSjH7Fz506sVisOh4Pp6WkRJdbW1obP5+P06dPCWVtVVeEGrs/6Op1OYbalk3KAyclJ1qxZQ0VFBYODg6TTaUZHRzGbzcTjcfbt2ycysG+88UaCwSDHjh0jlUphNBqpq6vDYDDwtre9jbe97W24XC7e//73093dTVdXF1CU9X/lK1/BbrdTKBRE2oDePfV6vUIGvXfvXkZGRujt7UWWZVatWsXWrVtpbm7GZrP9CgGYmJjgW9/6FplMhuuuu44PfvCDtLW1XfQ8SZIoLy/H6/Xy7LPPEo1GueyyyzCbzSxcuJCxsTGcTidOp5OZmRlOnz5NPB5n//799PX1cccddwjTOd2Bu66ujtOnTzM+Ps7p06dpa2ujvLwcVVWZnZ0lEAhgsVgAWLBgAS0tLbzlLW9hZmaGVCpFIpEQMnm9KKDPOutSbJfLxU033cSKFSvI5XKcP3+e//zP/ySbzbJo0SKWLl1KS0sL3d3d7NmzR+w/WZZpaWnhvvvuo7GxEZPJRCwWo6qqSqgDCoUCBw4coKWlhbKyMkZGRoCi6uLb3/42dXV1XHnllfz1X/81RqORYDDICy+8wMMPP0xXVxcVFRUsXbqUZDJJdXU1oVCI/fv3i5zvdevWsXv3bmHct3btWpYtW0ZVVRV1dXXi+zk5Ocnk5KQoBl2Yy67/brVaWbt2LTfddJP4Pvr9fvbt28fNN9/8iucFRYbLOuCWVXD9MvDM3b5HUuCywj/+55/xref/7GVf67HBnesufuwnh/6ccPKVz0M/+Eu4ehHEM37so70UDv0n40F4+AV4/DicG3/l13q9Xu666y5SqdSvnKtfL0qk+7XhT450f+UrX+Hzn/88U1NTLFu2jP/4j/9g7dq1f+jVes3IqWlS+djL/i2rFgsDMgZMiq1YzdPSzGR78Wd7OCY/QL1lJc3Wy6g1L0WRXv8XqYQSSijh9UOjVhpkqXyA5co+3ASQJJWMZiWi+dAoSn3txHFIEcqYftmlGMj+ymMy+Vd8PoAiFVBRSOIiiYaBHD6meYvhR1ypPcKQNp8ThcvpUteQ5s0bCfZGuJZqFg1eSTWu79o8iMPIDMyb+0kAPUAvMAFoF788l8tx9uxZJEkilUqJWW09i1qfd163bh1XXXUVy5cvx2g0irxli8UiTMjq6upYunSpuPnP5XLs3buXwcFB9u7dS1VVFdFoFIPBwPLly1m4cCH9/f2EQiEhhdU7gPr8uN4JvDCbWu+C6+ZasizT0NDAPffcI5zH8/m8iMVyuVwsXLgQi8XC0NAQx48fF915fZZbURSR9ayvezQaxWq10t7eLj4HvQsdi8Xo6enhuuuuw+v1snbtWo4dOya66wB9fX2cP38er9fLI488Imak9cKCoihUVFQI8q8oCjU1NSxatIihoSGy2ayIB4vH40I9kM/nhaS8rKyMq666Cq/Xy86dO0kmk0LevWDBAtra2oSD9kXHlKbR19fH2NgYa9as4YorrhDu9fpogU7gTCYTY2NjqKpKKpWipqYGg8FAfX09DoeDlpYWhoeHmZiYYN++fXR1dYn9qcv+I5GIOLYqKyuprq4WueTRaBSv10uhUBDda90sTXdNVxQFj8dDMBgkkUjg8XguSl5wOp1UVVVx44034na7icViOJ1OCoUCR44c4bHHHuP555/HYDDg8/m46qqrWLJkCQsWLODYsWNCdq+7iqdSKTKZzEUFoHXr1hGLxejs7KShoUH4Geivg2IRaGxsjGQySVtbG3a7naqqKtFl3rdvH5WVlSxbtgyPx4PNZqO/v594PM709DS333478+fPp7m5mYcffpiBgQEOHDiAyWRi7dq1Yq68sbHxopEHeJEgXri/VVWlsrISj8eDw+GgtraWYDD4ilnd7dVw4wq4fS00+sCgQDIDU2EozL2V01Ik1o3lL39KsrwM45KkV34+gNkABRXCieKPyQA1Hrjvevj/roZTo/DTw/DLExCMv/JyLjV+36T7X/7lX3jkkUfo7u4Wefb/9//+34tGal6K7373u7zvfe+76DGz2XyRb8Wvg6qqfPe73+X973//b7W+r4Q/KdL94x//mPvuu4+vf/3rrFu3ji9/+cu85S1voaenh8rKyj/06r0m7Jr9MoHMwCv+Pa9lMUvFro4kSRglK0asaJpKVktwPrmHwdQ+7LKPFusmmm0b8Bqa3rRVpBJKKOEPBychFimHWSnvokYaxihlyWtG4rgoaL9aFJQp8BblR7xF+dHLLi+Pkf2F60jhEI9doTzKOuVZfoUliWWqqIKJSeQxEaUMNA0zKTrkk3TIJ0loLs6oazlV2Mh5bSEabx75+RvhWqpJGuodKryaytLAxYdJZu5HpkjAVwHLgCDQRZGAR4tPHR0dBV68uYxGi3/QyU5HRwfLli3jbW97G0uWLCGbzQpTsEWLFjFv3jysVqsgx/o1WdM0rFYr1113HYVCgVtvvZUHHniAnTt34vF4uOmmm7BYLGzduhWz2UxLSwvJZBKz2cy5c+f48Ic/TCQSIRwO4/P5RF63LMvEYsUC/uDgIJWVlbhcLkGcdTKezWY5cOAABoOBD3/4w1x33XUkk0keeeQRTpw4gaqqnD59Go/Hg8/nw263C3lzPB4Xy9CzlKurq3G73UxPTwszrGw2y4kTJ0gkEgQCAc6fP08oFOLcuXOiI5pKpWhpaaGtrY2qqipmZ2eFc/eBAweEOZpe6MhmsyxfvlwQ0nPnzok5d93ULRgMYjQaWbNmDUuWLGHjxo2kUimuueYa2tvbcbvdLFq0iJaWFuE8nslkRAQYFF3rx8bGWLp0KR/84AeZN28eAFNTUzgcDjFHPDQ0xP3338/U1BSaphEKhTAajSxevBhFURgdHSUcDnPs2DECgQBHjx4VrtkNDQ3Y7XZyuRwzMzMcOHCAdeuKLdAtW7YwOzvLrl27GBgY4M///M9xOp2UlZUJ6b++rvps/+zsLM888wyZTIYFCxbQ0dGBz+djamqKUChETU0NK1euxGAw4HK5OHXqFLOzszz00EPs2bOHRKLY4HnqqafYtm0bNptNdLX//d//nWeffRYoEpapqSmxj1VVJRKJ0N7ejs/no7Ozk9bWVhKJBLt3774o+9pisYg5db1b73a7MZvNrFy5kvr6emEup+dwL1xYHKVMJpOsXbuW+vp60uk0brcbq9WK3W6nra2NUChER0eHOPYDgQBmsxmLxcKSJUtEvvjo6KgovkQiEV544QXa29tpbW2lrq6Ourq6i1y1PTa4bhncvgZWtoDNBNl8kfxm8r96ulEU+MutxZ+XQ7YAD+yDyfCLj737cvjwW0B5hVt2WQL1gnNYNg/+uXOU3QxrWmFtK/ztLfD0aXj0KOzphtwrCIAuFX7fpHvXrl186EMfYs2aNeTzeT796U9z7bXX0tXVhd3+ysVzl8tFT0/Pa35fWZb5xje+8Ycj3e95z3v4wAc+wObNmy/JCvw2+NKXvsQHP/hBUbn4+te/zhNPPMG3v/1tPvnJT/7e1+dSIKvGKWg5TLLjZf9ukCwoL3NXIUkyZsmJGScFLUeqEOZ0/BG6Eo+/Jvl5CSWUUMJrwavJxxOaC3jli1xY8yHz8ncHBnKYyGB4iQbYLKUwSyli2stL0gFyL8vEJDLYyGg2ZApYSLBOfpbV8k6CVHGssPli+bmmgvS7I+Kla+nrgyZpRcItwcsIIorI8vK1GRVIzf0YgHJgC7ARIT/XzmsXyc9VVRVxQ+Xl5bztbW9j9erVtLS0IMsyR48exe/3C6m0HvlVVlYmZq0vnBvWibDX62X16tWim7tmzRoREwaIrnM+n8fhcGC320W3u7+/n7Vr16IoiiDBujFXTU0NmzZtEnOzF6K8vJxrr72Wa665Bo/HQ3l5OcuXL8dsNpPNZtE0jerqam655RYaGxvJZDIMDAzw4x//GL/fj6ZpWCwWli5dSk1NDfl8nlgsRiqVwul0illffV69r68PKBYsDAYDHo+HtWvXsnr1apqbm6mpqcFoNGIymdi5cyeZTIbz588zOztLf38/iUSCxx57jJ6eHuLxOBUVFaxcuZLe3l4KhcJFxnQWi4X58+ezZs0avF4vmUxGRE4tWLCA8vJyjEYj0WhUOLvX1taKDmcikaC8vJx3vOMdNDc3YzKZOHDgACdPnkSWZcbGxsjlcszOzopZ6NnZWWKxGHv37hVO8/l8nv7+fp5//nkSiQRWq5VFixYxOzvLggULaG5uFpJf3d193bp1mM1mdu7cycTEBMPDw7S1tbFkyRLR2dfXM51OUygUmJyc5MiRIzz44INMTk7i9XppaWnhhhtuwO12o6oqHo+HxsZGoZioqqoikUiIAtuFRnhHjhzhqquuwuPxsGLFCj796U9z8uRJgsEgfr+fQ4cOsXjxYux2O3a7nXA4zAsvvICiKGzZsoWqqiqSySTz5s0Tx60+eqLPXiuKgslkQpZlUqkU4+PjSJIk3NB1l/pEIsHk5CSaptHf3095eTmaponn6GoCr9fLzMwMU1NT9PX1IUkSK1euZPXq1Vx11VX4fD4ee+wxdu3aRVdXFyaTifLycqanpzl58iRlZWXCwV4r5Ng8/+Xl47+ukzwVBuMrXDIMMjgsYHlJ7dluAYcZAq+y7MwrjMEkMsUfWQLXnHT9rWsQ8vPn+199fV8Pft+k+6mnnrro9+9+97tUVlZy9OjRV72G6okNrwerV6/mP//zP/nwhz/8upYDr4F0RyIRtm7dSlNTE+973/t4z3veQ11d3etekV+HbDbL0aNH+dSnPiUek2WZrVu3cuDAgZd9TSaTIZPJiN+LmXygSLmX3AaqSBSwE0bjVYYrXifypCioF3+zKhUVm8GIRX55ScuLePmuThEGwD0nP8+QU/sYivcynniAGvNiWqyXI5l/x2WvEkoo4U2FWvpZqexikXIEJyEkSSWrWQhrZUI+XsQrn7vyGHily5CKhEQBA2lMF5yXFbLkMJDltZ8zC8gkcJLAgUIeD9NsNTzIFu0RRrU2jhfWM6Z5kNUCmnwxgdekSzPT/adyLX2l66jZKKFccONkMEgYFKj0KFh+B6Z1il3BZX3x/VRZwmJSoACvKlL4Te5y9F1qAubP/aSBATD2GTHEDdisNiwWC03NzSxfvozL13ZSW+tAKQQJTMY4cfhpznWdo7e3l2Qqid1mp3N+J5s3b8ZsNnPq1CnMZjPvete7qK+vnzP7Av/EOFMjp0mGh8g4CrjMS/E5jZhMOQyKAUkLQQ4MqoaJMM21Nsiai3nR8XHS0RGCU0Wynclk6OvrQ1U1PLYck0MnsdmL+cSyVCT+2WyWW67fQD6fx2PLYlCDZJIZanwKf3nvnZw+dYrrt13Ppk2bqK6uwWI2U1ALJJPrMBHm8OEXmJycwOFwsGXDApYtW4bD4RAyaE2DkZERjh49Qjw4CVk/jdUWYtEYBbU4H67kCyTDQ9T41rN8YS12uwNFKZ4z1i1v4exxA319g/zwO//G5PBJDAYjzz37bNHVXJGZGrEVXc29ZqyKhWyZTChUnNe97da38FcffS82q42Z2WnKXSqybKCltobycgNGY6LozG4rFvVy2RyZWIGwvxgBFgyG8JV5qa/3YtRCDPac4vP/+9PMzswWM7fNJrLZHIoiY7fZcRghY06RT8T5wbe/xHO//BFr1q5lfHyMU6dOkc/lkRWZ2vJWnOYUSy5bRFNjI1YljtdmxtxShse6lOqaatxuA5pWoMyRR87PouTzPPno93juSRMb1m9AMShzmeApFKXoHH/y5ClOnTzJ7HgvslogOhvgTGgIE2Euv/xyXC4XtTW1RGb6UdMOZv1+7EYIREdY2FbO6PJmTpwIo6oqVquMf+wsyfAQLks1doPCglYf116xnL1795LLzXD80HZ+6VNYv3499fX1PPP4z9m5/QmyuSyZ6Ci33347ixYv4q5brmBi8AT9A/2oBZVbbr2Fm6/bgMViITrbj8lkxmQ0MjbQxwv7nkCWFbT0NJs2b0ZR5KLEf7qf7pO7iUQijPQfYaTvCAW1gFELsXZ5C+vWrUUpBOg9c55nn32OUDBINBbD4/Fw9+03sXDhIhrq61EMCu+4YyuXrWnHbDbjdDgZHRsjGo2gKDECk+dwaGN4YzuQprbz/Q8rKDKksjAde1E+/utqsAWg8Aq32gbAJoPVCs4LGrN2W/H0k361W3T51UrXxStdJF38MRmgugw+ug3uSSs8GTYTjWaYCl18rn69uFQ53bqCSIfZbH5Fif+FiEQiAMKU8ZUQj8dpampCVVVWrlzJ//k//0f4YPymGBsb48knn+QLX/gCGzduZMmSJSxZsoQbb7zxt1oOgKRdOPjwG2JmZobvf//7fO9736Orq4utW7fygQ98gFtuueWSDOi/HCYmJqirq2P//v1s2LBBPP6JT3xCxEy8FJ/5zGf4p3/6p4se+6e//RAOhwmD8uJmF1SZvKrQWTWAxZh56WIuGTSpQM5w8fx2ODFFQc0iS5dS6a+hUkDV8kiSgllysCL9pyEZLKGEEv40EHenKJOmMZBDQyaPEe1Vbw1+O0ioKBQIaRXkefG6YiaNWwq8Qjf7tUOmILYlkPPx7MR15PJGzMYsJsOLRDtfkPgfn/o3IpEILtfriyT7U7iWvtJ11ChnkHlRY6liQMOML7sdg3bxjdSlgGSQMPpevE5qQM6SK/7jt76L+TVQKErQCxKGlII5YSGfy4EEFRUVVFZWUlZWJlyp8/k8ExMTxGIxZmZmLppN1h3KdZdul9NF67x5lJUVXc0TiQSzs7Pk83kqKiqw2WwosoKsKEgSSHPfKQ1tbrb8DMlEAqSi47fT4cRgNJLJFE3OctkciqHYUZaQKKgFbDYbVqsNu90mnM2BuQ68jKoWhIRbVdViXrXBiCRLSEiomoZaKDA1PUUgEAANJLnYQfL5fMXl8KLkOZFMCim6pqki/qko6c4DGkaDEY/XS2dnB2azuRg/pmoEggHOnTtHOp1GkRXcnmK3NhqNis9QkiQcDgdWqw2j0UAqlSYej6EoCkuWLBHfywsLRmazGUmSinJ7WUGjOJctIYFUnOGfnp4mmUzOmbA559ywX3TvnjsS5w44CaPRIAoZ+q20LMvIkoyGdtH66hng9fX12Gw2XC6XiPnK5/PFwsjcZxCJRhgcHJzzDzCRyaSFY7zb7UYxKMiSLJzbI5Eo6XQK/W5eliUqKipEprimaZjNZiHrR9MwzJ1fJicnCQQCqKqK3W6nsrKS8vJy7Ha7iEfr7+tjbGycfKHoE1BWVkZDQwMmk2nOgGxmzp2dojt6ezsWq5VMJkM6nSaXzVFXXydcwXXTvUK+QCQa4fz58+TzBSorKqhvaMBkMhKNxvD7p5manELVij4KPp8Pi8VCLBZDQsLpcmK1WkmlUsTjcVLJFKqmYVAUbHY7Hrcbl7t4LOgReEajCVmWQANVU4nFYkXlBmEs2TEkLUs2lyebv1jW/XohSWBSYCJUJPM6jIbijPjLydVfDxQZMpqLpydvQtVkpHwQVZ+vx8CnP/ut13QNi0ajuN1uPvnJT4oxgdeCdDrNv/7rv/7K4//4j//IZz7zmVd9raqq3HzzzYTDYfbu3fuKzztw4AB9fX0sXbqUSCTCF77wBXbv3s3Zs2epr6//rdc5Ho9z9uxZTp8+zZkzZ/jyl7/8Wy/jNTG9iooK7rvvPu677z6OHTvGd77zHd71rnfhcDh45zvfyV/+5V/S3t7+WhZ9SfGpT32K++67T/wejUa5/7/+FQ2JgvZihUbVJDRkMpoVtN/dmLtKgexLuiRRVSJXUFFee8GoCA1UVFQtB2jIkgGrUolDKceqeFGjl/4mqIQSSnjzYkKtJixV4GYGrzyDaU7Lq2Igj8Kr1+Z/PSRAQiOvGclfQLANUg7pErEsGQ2FHBIqKgoxzUNIq2S6UAOShKIUyOTNqJqM0TBnJnUJGd6fwrX0la6jqqpRuOCuVKNoahZNqMiFXzWoer2QjBImxwXvJ2lkDWqR/1yKt5N50ZQtDUpKgaiEXbKQl2SyueIsr7fChtlRgdHqQUJCRoN8HrtbI503E4pNoc5tv6RomAyQTucEKQvHwgRjPaxYsQKXy4XR6sPpMaOhYXE4Uebiq2SDgiTpZFYjr6okMlnympWsVjRMy6pWRibDRQKWz2G1WLBaraiaQjSaYmJiknw+i8Vspczno6W1GYvZgsNiR1IU8Q2VVBWjLKOYtTmiPUfImatp5AtoUgG7RyanWkgmU+TyOcyOChSL+6IMdElTUdMQjkdRDDL1tQ04vbWYp/0EA0EC42MU8gWgQDg+i7eikapqNxZD8QbeaIMCNqLJNLKsYffYkI0ysWSMXF5DU+fW0ahQWVtLWVkZoWCQUGwQWTZisvqQTfYiAS2kMJAHJDRZJplOYZOt5FSKxNUgIysGNE0ll00wMR0nkUwQS8nU1FiwWmyEonmC0QLaHOmWpOL/ilJ2BZPJSCSevuDv6tyTQJuLCUOSMGdVZEMew2yS6monHqMbDcgko8QTOXIqOJw2NDQSmThGi49kKolWkEhm82TCWexOB7Wuaqx2GxKQSmeIJjTSuRSReELMTxtNJpo9Nbh9DahqoRg1Fo0Qi8ZJpdNUVlVisdiRZBlflZkCNlRNK7qSzykw4mmwWk3F5Vl95OUw0XgUgyxRYfZic1UjAVZnivD5aVS9xSuliMR7mL9gIY0NjRTUYqSc1enGYFBQVQ21kJqbx0+TyxmJpxVyuQKGaI5mixeDyUwukmM2kiMQzRX9OCwGyiqdOLyVqHKEXDZHTlWIBdIkkkkMihGMRixGE8l0klgwSSyp4UmB3eGgorwMxWDEaDEhIQMaqqZhzJmYmZ2l159BzluocEi4DVlsJpDkoolZNv/663py8TAgk4XUBT5eqgkktZie+XqhSEUSr0iQ1yAUV8nnc2RUK5LmRiqEkdCQ5Nd/DbtU8vLR0dGLiP9v0uX+0Ic+xJkzZ16VcANs2LDhosLyxo0bWbBgAd/4xjf47Gc/+4qv27p1K//jf/wPrr/++oset9lsrFu3TvgvvBa8LoY5OTnJM888wzPPPIOiKGzbto3Tp0+zcOFCPve5z/HXf/3Xr2fxF6G8vBxFUZievti1dnp6+hX1+q8kU9DmSLb4neLvOczIv0MzHZU82Zc4jKc0iYxWQCq8UoddwiCZxEn8pdC0ItHWUItdbdmFS6nBYajEIBW3vQCg/uZufSWUUEIJvw45LEQ0CxHKGSt04JYC+KQp3FIA89yQbR4j6qucUw1kkV+RMWloc7RY5cIOp4JCATOvrErKY7rATO1Xl2sgP9ellclgZVatJkgVKa2o+8tgQEPGoBSQpDzZQrGLbzQU0LRLTyj/mK+lL3cd1ZBQVbjI/FkCNI1UVkPKX+rWc/HG9ELppiZBRtUuJssvhQa8WgdJ5kVpugrEgDAQBYfVXOzw2k2oSGRyeQoFjaqaZrxlNchz3WI0jQI5FFMG5CSZnEQupyLLChbFhCqZSOeyFPRChFQcAytgwmh2IkkyHp9DdGKLpSaNXLZI1HPZLNFYjN6eXuKJeNGh2u3BYrEQiWeIx4pO0opBoaq6EqPJRCgYZGBogmQigQbI8RzRRJZwLM2C+Qsw2zzYjNbifYWmIc11siVFmpN5S0hysROZSqdIJVMAuD0VWKweYrFY0dFcsqIYiuRNRyFfIJqYZWxilqamJiyOMpwGA97yumKckz9MPBlGVTUSmQyHj5ymsnKKxYvn5pZVIzX18wjFit/vaCKHr8yHt7yWaDRKvlCcEW5s7qC6tg6T2QSKlXT3ebKFAmNTQVpa3GiqRkEzYjAXiezU5CTpdIZ8PkQul6O2tga324PRbEXVNHKFNMNj02SzOaZnIswEokUZqmLDYHIQj8dAd8DWVEDCbDWRyUE2L5PPq6iahiwx111WUVUJq82GQTGQKeQxSgbyqgGj2UU6JxOJhDlw4CD5fI6amhqqq6txudyYrG7cZSZsuRwzM7Mgq2RVlRp3Jb7K+qIUW9NQjGly6hSZvExWLZ4jXQ4ndfX1NLcswGw2F83OohG6uk+SzWaxWMwsWtKAzWZHkiTKfAWqa1tF9zyXy9Hf30csFiefz1Ne7sNu9zJ/wTLODw4WXfENNjJ5GYfdgcOVIZ3VyF/wnU9lMvQNjFJR3YCmyUiSGUmxIRkMyKqKpIDRbMZSMEA6jcNdjslopK6uHqvdi6ZpjE8FmZwOkUwVv/RZNU8yrWKyuKiwuBkY6GdycpREMondZmPNmrWUlZWRTqfo7e1jYuo8QSlFJq9QpVjxYsJgsCApFpBALajEEjFOnellZGS4qMCQoFsDtaBR7YHmCqgvKxqoQZF8v5pBmdnAKzbQpLkKVqEAuQvOSYpc/LG9irApm4f8K1x2JIqScoMCmgbJLAzNwPAsBNIaWrkKWgRNcaHJHsiHX/F0+dvgUpFul8v1W3XbP/zhD/P444+ze/fu37pbbTQaWbFiBf39rz7sfuTIEZqbmwEYHh6mqakJgG9961vs2bOH73//+7/V+16I35p053I5HnvsMb7zne/w9NNPs3TpUj72sY/xjne8Q3xwP/vZz3j/+99/SW8UTCYTq1at4rnnnuPWW28FihKD55577rcabtd+h8Y4rwUOpQLDK8wmamik1QgqBeQLd5WmoZJH1YoVXINswalU4TRUYZZdl1DgWUIJJZTw66GiENIqCWmVGElTJs1QLk1ik2IYyaIK+fnFl3uFAnHNdZF8/EIUZesXX6bimgcTr1xEtEtxFHKoLzmvKuRR5hhYHgMBrY6gVkVUK3tVWbzRULzLyhWK66FIl4Z0/ylfSzXJiCZleXVG+zuGJhVJ8ivdQcqAjRfVwDokuEiIkQFCQGTu33Nob28nk8liNBrIZrOMpcYxGo0i71iHqmlks1kmJyaIRKNzpmYqRmMxG9tkNpNOp0jNkQcJMBiKXeZkMoXZYsZqsRS72vpytWKnOZ/PMTk5yexsgNHRkTniruF2uclkM8UO4Fwms9PpoKzMh6LI5HP5YmyS/lFpxXfOZrJMT09TVVU1ty5FabU0l11cKKjIioxBUUAtyqZDwRCxWAyP14MiK0gmcDgdqAWVTDZTlKtLLw6dShIY5mT3uXwObU4NISHhdDqprKwgGo2AVHw8lUoSCAQ5c+Y0TqeL8vJyrDYrVouVbDYLWvE57e3txONxgsEg+XxRMajHleWyWdLpDLlcjoH+ARx2OzabHYNBQVGKcWoul5tMdmZOYq4QjyfwesuKhDtbdD/P5fIiyzmVSpNIJJBlGYPBgCwrRbKmqkXpPxK5XF50sgFkSZ4zDbOgaYgYLrPZxMzMDNlslmg0SjAYIp8v4Pf7SSaTqGqBab8fk8kkJNCaVuzExuPF7rtBMWAymZDmVAWFQp5EIkk4HKZQKGAxmzGaTFRWVlFRUUG+kMdQKI4pKLIy1/HO4fFUY7FYXyyuzG3Ti0MMGvFEgnA4hKqqwilclu20trQwMTlJMplkdnZ2TqYPRpOJQuFFebskQaFQIBKOIMkSuWwOq82GXbHPjV0YMBoljEYTikHBV+bD6XJSVuadM1srkEwkyaTTupIfCcjl8iQTCRKJBFNT03MjB8X9ZTQZhdGhHulnMhrxeNx4vF4UWUYtFIqz5+kM4+Pj9PT2EAwEgaJCQJENWKwWIuEIE6GiFNxsLMq/WyrB5ygSXHWu+114SW3RoEAoAelXsP3QtF/9WyAG46GXfz4Us7/tJsi/xCzSqBTl6khFEj80U/yZCF9QDNUvnVoB8iEweMHgQVN/jSPcb4Dft5Gapml85CMf4Wc/+xk7d+6kpaXlt37PQqHA6dOn2bZt26s+L5vN4nQWU6OWLFnCiRMnaG1tZePGjb9W+v7r8FuT7pqaGlRV5e677+bw4cMsX778V55z5ZVXCufNS4n77ruP97znPaxevZq1a9fy5S9/mUQi8Ss5bK8GDQM51YBZufTditeCMlMz8itI2gtalsHUvuIvGnNz2i/Kxx2GalyGKmxKOfIlqV2VUEIJJbw+5LAwrTUwrTVgl6KUMYVPnsZEhhfl5wb0u/QprYmA9vJqJQM5yqXJix4LaRXM6A7jL4PF8kGsc2M8MupF8vGo5iWg1fzKnPivw4XEW70E0jz4U7+WamiKG9QgaH8Y4i0B0riElnuF/eEAWi/4XZ/ThmKtIDL3k+BltaOrVq8GIJlM4p+exmKxzMUdmQEJbS6uaXx8gpHREUaGh1Hn5L1lZWXU1dVRU1tDLpsjn88zNDiEqhZQDAbsdgfpdIaJiUlS6RQ11dW0tbVjMhmFdFkxFInr5OQU09PTZDKZOf4hEQgGsFqsWK1WzGYT7R1zUUxz0uDCnGN1Jl00LpNlmXwhj6oWZ3rT6fRcxnNxwwtz2xKJRpGQ8Pl85HM50qk0RpORmpoanM6i2ZkkSyj5AmiQzRRnir3esmI2dLFxjtliIZ/Pc/bMGbKZLB0d7djtdvJzkWJms5lUKl1clqKQL+QJhcJIsozH48ZiteJw2JmZSWIwKDQ2NlJe7qO83IfBaGBqaoqhoSHiiThGg4FgMEgmk6agqszOznLs2HGam5tpbm7CYDCQyWbRtCKxLCvzIs/FvhmNBtAgFAoVDeg0tUg7NY1EIs74xAQN9fW0tLQwM+MvCifm2pQmkxG324PVamFycopINIKEhMNhp76+oTjbnohTX9+Ax+Mhm80yNVXstpvNZhRFIZ1OgQSyrOByOqmtrcVkMpFIJFEUGa/Hy6x9hnQmjcFgwG63z40paExOTtHdfY6JicmiC36ZF/NcLnwum2VifBy3243JZCrGmZlMqKpKfUO9mOnXNJV8vkA0FiMSjpBOp5CkYtFFd2AvStbBZrehaSrxeJzRsTHi8QT5fJ5kMonT4SSfy895GYDH42XJkiWYLWYyc8UQfUYfKH7uUNxn+QJ+/zSapuKwO1AUA36/n0AgUCTxc4S7MDdfb7FYMBgN5PI5USApKv6LCpFMNsvQ8NCcd4GBxsYmbLai2iEQCBCJRAgEggwNDRW3Dw0JCY/HzYqVK6iuruaBHz4gzgOZHPRNFX88dmgqh5aKYlyXJEG+cIH8XIOBaeieePlTkskA815irzQVgZHAyz8f4KpFRdINRdm4aa6bnldhNg7n/cXXp18pwUGHlhfEW1NenxcJ/P5J94c+9CEeeOABHn30UZxOJ1NTUwCiKATw7ne/m7q6Ov7lX/4FgH/+539m/fr1tLW1EQ6H+fznP8/w8DD33nvvq75Xe3s7hw8fxul0kkgkhGmb0+kkGAz+tpt6EX5r0v1v//Zv3Hnnna86QO/xeBgcHHxdK/ZyeNvb3sbMzAz/8A//wNTUFMuXL+epp54SVdvfBBJ5CgUreSkvZvSkuf+MZDByaZxpXw4qBTTt4uUbudiM5kLI5LBKzBHtHJKkYFKcOJVKbIqvKDsHXjkv5cKF/QbPKaGEEkr4DWF8lW6zjqxmYopG/IV6nFIIrzSDUwphnGspqoBC7hWXpQgZ+IswkEF6hZixIjQkChhJUZSPWwipFYSpIK0VL87Fv7/yMlSMSKhzP0ViYjIU/53NXxrfjz/la6lMDrPVDtZa3PYCRqUou8zmZa654hZctktf1M5pOaayUxc9Vm2qxii9fPFkNjnLnpE9epsXRTZQbiunwdVAtbMGo/xr9mOhKKk2G1SqKzyYjCp2qx01n0IrQCGfJxqN0tdzmlgsjiLlkNFwOhw0NFTR1FSP0WRgaiqMgRx2q4ymSZiMRoyGAl1njhWJtKYSnp2kzG3D6/WiGBVkJHL5ArlcBllLI2tpbGZJkG6rCSQpiyIpWC1mnDYDRrkAaqpoMmZVaKgpJxUPki8UiqREBqtZwmxQMSkF1EIS1LkIM01DU9OouSQmo5FcJlrsHsoqilHDZpVRpCxaodh5VsijajkUKUs+myMZ17DZbMhzN9Juu4nqChejmSijQz1EI346OztIpdLEojNYjBqKZECWixFfBoMBg0HBai5+zxSyOG1G8Dnxepy4nCbMxiIZdtoUAnKefDZGLm3G7StDdVkIWhVyWRVQ0QpJCtk4spYln9GQ1SyoaSp8TmRZwWwyYbaYkLQMal4ln42hFpLYzBKq/pkgUcjEsdsUrBYHqCmMRiMer4dCroCsKDjsNpAk6mvKi93hUBCb3Y7T6SKdSmI22HA7TZgMBYyyRJnHhn86jlHJY7NK1FaVkUqEMJlMtLW14XIWSbXN4pgzWEtgMYHNLONy2zFIxe3WVI2p8UHi0QAmQwFZ1lCkHDazGaOSJxUPkkqnCQen8LjdGIwmKrwOzJZyDFKOTKroA6BpKplMlqmJMaYmJokn4siyXFQbWK0YrGbcHhsmpQD5FAYpj80sYZRzKJKGQhaHRcZY48NpN5BKplAMSjGCzahikgvYPFYqfU4KapZENFVUCsgSkqKQSiYZHx9n1j9GODiFf3qUyvIKEslE8Zi3SGiqNGdEZ8RmVchnouT+f/b+NdSy7DzvR39jjHlf97Xve9f90q1utSTHjpJYDon/4eSCkw8hYHA4EMzh+JPtExMIh2NyI/lgTAjnBAwOgeB8MoGA7UAgOccE7MSR83ckS7akVqu7qrqqdu3r2uu+1rzPMc6HMfeq7pbUsrq7uq2q9YBE9+p1mXvOudYYz/s+7/OksNlr4qqKPMtwXYcsnlD4gnvf+iZVPidwDIqMPJ3hqpI0TYkXEy7Oz8iylE7LJ00NGINUks9++g5XdjdwPcP//f/2f33/3wajIR1AcgjJCeh6X28Mf/HHPsdfbN35zq/TOSwfv+uhH2tcA/k+pqCD/wnJMUFUt7WdCMIr+NEBDbfLlffhrrNY8ttfa+I5ehVlVlQwmn/4Jt3HTbp/9Vd/FYAf//Eff9fjv/Zrv8ZP//RPAzY14Z2O6uPxmJ/5mZ/h9PSUXq/Hj/zIj/DFL36RV1999X0/6+d//uf5mZ/5GW7cuMFnP/tZ/t2/+3f8yq/8Cv/jf/yP74tvfid8AS/lrQAAx31JREFUIPfyH1TMZjN+9f/9i3h+QF75RG5G5OWUlSSvXP7y7W/S9p/d7LM2mqVevuuxhmy8y4TknTBG8/bkEQJo+S1aXgvf+d4mA98J6cmHq86sscYaa7wTwd77R3V8V+gSygUUczA5BLvgNL7zc01ln/dOuK33z26Jn9jNjdMApwVOyPdr6jbLAn73/it4qsB5jypqlnr8g//Xv/pI3Mt/EHG5jrYbkriIqIyk7cc2LvsZrqPf7/qZlinH82OUULT9Nk2vias+mCO8MdbA61KqXlXVqss3mdq4JWsOZuX7u3u7BEGA0YaLiwsWywVVacfBhBRIKe3MNpfSawiCkP5GH8/zrNmU1sTLJYvFgqoqbRe9vo9txrGg2WrheR6BH6CUWm1kK11R5DnngwFp3e3GgOM6tJpNer0+UsmnZmm1k/Ol07fj2IKEEAIpJMpR7zwZVLV+9fI8XLpvO7UJHFiFwNnZGXme27ZGbdCm62MBkMoakYVBSF7kKKnwfCutnk5nGK0JwoB+v08YBPAOx+vpdIrrerTbLaqyYjAY1A7jBiElYRCys7uDoxRFaaXVRV7g+R5BENQRavbazhdLptMJcRxjtF4VN1rtFv1ev3Y3L0mTBMep5d+A73vW5V08dW43RpNmGXmWE8cxnW6HRhStXOKTJEHWeeVlWaF1haMUXu2bcDlH77ouVaVZzGekaYaUkla7RRRFpEm6cry3nXI7X91oNnAcl8V8XkcxGRrNJr7n47iX6iJ78tMktU71gU9RFMTLmDRNQVinb9ep5dphSKvVtHPqWpOmGYvlkqLI7XNcl7IsVooKKZ+ONzSaDYIgwHMtqVwsFkxnM3RVorWhLAvKqlqZDIr6nvA967RuXfXr/yYFqpb6CymtBwICbex3Txu9cmdfvZ8QNKKGnW03mjzLkFKtHPx1bXQnlVzlt3/fRNJUUCygnIPOwNsEr/M+z/0+17PkBKoYVMM+V0Xf1ePpvfhu61icK/4f/8//z4dyL/8n/+SffGj38n/+z//5n9p19Dd+4zd48803+Zmf+Rl+6qd+ivv373NycsLP/dzP8S//5b/8wO/77Ky6/5Si0hD5Dq6RLNMGwgnxXI0QEr99F/8ZVOgvUZiC5D2V+s77VOoBrjVvEbgB6kPOosdvvfGhXr/GGmus8U74vU99uDcwQLWoNxHfpfL+HToDfK/OQPu2fb/3e873gB9LhBMgHI/3Rk5H5iOwmf0BR6VBqohuoJjGinnephFUz3Qd/X7XT9+Aar9M02v8iTep3xHGDkUYY9DaYLQmjxOW1ZJJPubtkxlZltv5YwTtdsCVlz6F34yI44RvPTljMqlnn5XEcT0wmjjOnpJPKdg/2EY0+qjCYTAcEAUheS6ZLwW+6xJGDdrtliVrRWFJixtQGEPQ2EDV88AIm+mdzqYMk5KLiwuyNENIwfZWn8bWVURzE4TA8XykrEl3VTE6P0cISa/VoSwqpKPwg8DKgsXTc1GWlTVgqyqy5ZJ5NkObBv3Wxko67HY0hXvBF7/4RaqyqgsMtnDg+h5KKPzAx3FcXMdhNk+ACqMzEHbevSw1SqVsbnl84Uc/g+s6mCynSAacTO4RNSKc9h6FLnjj8NiaYRmQStLpROzffRnX88iXS/Ik4eT8mFarzW57BzcIUY5EGyjzc+Y64NHpQ9I0x2iDchQ/8iO3Ua0tDp884cmTJ8RJgu95dNp2drjZahJFDba2Nut4LUNVliT5kOPRE4bDJbeDPkF/HyEESZJwvhzguy7tdge/5ZMulxRCoPwmaZoyT+YMByXNVpOiKDg5nTCfJijHpdutuHqlw/kg5/SkpKzK2q3c4ZVPXaPd3sR1XOLFMW8dTzHaEDYq+j2f69euoxxFvFxycnrCaJSytblF1+sSNiOy9II3j96gKjXG5DhuQRRF7O02ae3cQfk+RmuycszSTFmkMxzHJZ1mpEmJ4zi4rkeapkynCxzl0Gg43H35OjsbOwgpiBdPuHcyJUkKyqKgLKu6yPGUdPtBwOZmg43+JtPZlPPBAFNVCCloNiLiNMZRDq2mQ6MRUVYV0+mU5dI6ouuqWkVjSSnxvYQgMGR5RlEWBH5Aq9W2kWeOLVRFjSZhp/2uwtUH+Z2gWoIKvjuJ/iDrWeeu/YKq77/h9t3WMe8jWMM+qpzuP634O3/n76z++b/8l//Cb/7mb5LnOT/1Uz/1od73hSPdGBBC0vRt1XWZKbSWKAXCCZHPJhoVAKlztH73F0c6EfJ9vnAt97t0gL5f6I8203aNNdZ4sSE/kt+m7/EelQPqPb9dTvT+G5CP4LiEw8rY6r17MCFeGHHYd0e9jiqp6DZguhTMU8fG7DyjdfSDrJ9t70PeC/Wgpp2TrtC6ZDwbM5/NSZKEi+GcRVqRxIWNTzOG7b0ejt9EOhFe6DGdZ8zjEikknqfY3N4lTVNGk2SV/SyVYHf/BgcHVyjKglwrJpMJrhPw6qfv0uv16q6SWJl5lWXJ4HzAYDDg+PQezWbTzjC7LkZrBsMFk1lGZTyCZsT21hY3btwkCAKOT0+Yzxfs7O7QaXcAw2KZMJ6m+L5Ps+3ghw1rwnWZayzsHHuR5xjh2I690HiBg0o0Dx4eE6eaW7du2/8G7O43+b/89Q0evv029+8/QBtNI2qwv7/PYrFgPBlTlYJlkjGdpqtOO7Ca1wWYLo6YL36XV155FeUoRsMZ87giLVPy0s48Z4Ukz0Frg1KGpnGQTgPpuPihw3iaMpwknA/njGcpV65eodvpoJRD1NyglWgarQVpfkFR5rRaGzTbW+SVw1sPnjAajjBGo1TGfGnzqvM8w3Hs3PDdu3dptZpI18OIBdN5wXxZ8ODRCaNJYufkqxJtXLTw0cIjKySLuCROEu6/fcTZ+TnxconvBwRBUMdqWbMwIQum84yTsxFVpVfz01LaYZvxLGVzO0QLh2Z7E8drkWUZrc4Wftjk+GxMlmXs7e0RNPq0KpdGu09vc4dWs0mnt810mXN8fEyyXCLKCtdXeGEb5TaRjmeN8YRPnGpmixIhSqpKMxrNVkUnKUWdxQ7TRYbyjgijHp7nkuSC7Z3rPHj7AdLx0FVKZUqMsXPeYRSxt7fHyy+/TBgEDIcjnhwPSZKUMAxxgza9yM7HL5Kc4fSCNE3J0oyq7phfyp7DMEQph6ysmA3nXJqluZ6HciOQAc1ub9WtlW6AUs73K4p6D57Beva93vN98N3WsY9iDfu45eWfJBzH4Sd/8ic/mvf6SN7lBxSNwN5481Tgu+uN1BprrLHGGmt8P5ACOg3DeC7eN07nBw2XMmOjraNzvFwynkw4PjoiyzKSJCVJE0tCbRMXgLzIqS6zzYyps7axHWjXZWNzA8/zuLgYkNYkUyBwXRfXs/LWZqMJBjzfY2PDyl7fuWuWQqw6RfP5nKPjI7za8bq/0SdNEqaTKVme4Qc+uzs73Lhxk0Yjwhg4Ozvn7OyM0WjEtWvXaLaaTKdTzgfnbPT7GOxGc75YQGQd0jFQlHY2tihsbJfvWwJRFLXL+vCC6zdu4FzOywtBq9nkypWrDC4u0FVFEAT4gU8cL2m32iv5fFkbY10SBClFXciw5/bi4oIvf/lL7O3t4TgOYWjl5vPFHNd1UY6DLEuMqRUXvm8l7UJSaY3nuTSbTSv11xVVWVoX8tppuyis700URXQ6XXZ2tpFSMB6PmE2nqwKJEBCGIQZDWVrzsPPzc/b29mi3Wyjl4Hkud+7c5tGjx5jagdxgyLOMMIxoNBoEYYjruGR5xnQ649HjxxR5QaUrwBrpFXXUnMGANpT12IElkNKONdSd3dOTU9qtNkEQkKYJ+/t7Vl7daDIcXljjs6rE8zwajYjutS7dTocoatTvKWg2GvV1DVCO4ubNm2xubuG6dmwgjmNOz87qc+6wvb1du7EP6/EHqCpjZ7aFxPctoT0fnOO5LnG8RCnFjRs3yPOc87Nz8iJHAL1ej6jR4Mb164T1nP+lyZ51wi/J85yXXnqJSlccPTkiGcTkWUZVWeIuhE0GcByXra0tiqKwJoGTClkT8Vu3btJstYjCyCo4Lh3QoB7DMO+KwFvjO+NFIt0fJV5o0g2WeKfFe/JG11hjjTXWWGONPxGkgFZkmCfPz0ZqsViS5zlxvOTi4oLhcMR8PmcZL9Fa18QvJIwiRJKSZnaOvSxKkiTB83yGwxFBGJCkCbqqUNLGN0VhyCuvvMK9e/dZLBYIAYPBBTs7Oziui+e5aF2xWNhon9X+tCYIy+WSi+GQh2+/zWAwIIkTYmL+6I/+iG6vax3KkwStDWEY8vnPf952YaWycU/DC+aLOVme0W63KYqc8XhSv1eMMQbP921O88YGGxsbSKmYL2w+92Q8RkpFq9ViPB5xeHi4miH+77/73/kLP/oXiKKoPmhBENoZ6vlyTlGU5HnBeDKmLAryvEAbTVHUiQNSce3aVfb3Dzg8POTw8NC6ihusEdtiwe7OLrdu38YYw/HREfP5wkaHSYkxBsd16PX6xHFMKuy1cVyXW7dureaYL0lXVZUURU5RFDSbTa5evcLe3j6u61BVFWdn5yilcByDUpKt7W3u3r1Lp91hsVwwn81W94KQNjotjCKqStNq29ihLE2RUhI1Gty8eRPXcfE9D6kUG/0+ruNyfHzMpJzgKZd+v8fm5hZHx0fESbKKXbOqC0uQuRRl11nu4/GI//2//4B+v0+j2WR/f59+v29ztaXk8PDLFEWBlJJr13+EdutSTm1nreeLOaPxGCkkQeDTarfpdDrWaT5NiZfW9Ozs3Dr5d3t9dnZ22d3bo91uc3JyipSCNMvY2NjAdRz6/T6dbpciL/j617+O1ja67fr161xcXDA4P7cpAMZQVrYQUhQlo9EIz/M4Pz8nz3K01mRphlSSq1evIKXk6pUrHB4e8nu/93u1V6KdxL8k37PZnE6nU7vAd3nllVdot9tIqSjKgiROmM/neL5HVZacnJ7aGXljeOV7GG2tsSbdHxQvPOku6tB5Z13YWmONNdZYY40PhDR/vjZRk8mYPC+I4yWTyZTJdEJZlhT5JTmUSGE39KIneHx4iNGGKAopy5LZfMZsNiPLMpSUKGnjtk5OTlDqgDzPV1FSQkBR5CzjGM/1LCEZXNBut1fdTAOkScLJ6SnffP2b5HleRz/VCctaU2IJi66qWmatMBibr137JihlTcZid4lXG0dNJhPSNEVXFZPplDyv86+Lgni5xPM8wjDCcz3yLCNJ7PzsaDQiSZI6kst2YR8fPqbX6/FDP/RDq661qEmiNcbSzOdzyqIkyzKqSlspef2XtNstvvCFLxAEITduXOd3fud3OT8/o6rsTPyVgwNu3bpNq9WiLEuyNONiOMRcSvWlquPQlC0O1IZZuzu7+L5XKwSsDNoAJjfM53O01mxtbXFwsL+SHM8XC1qtJpubm+RFgVKKXrfL1uam7Yh3O4iDA4qitBJ8bNGlKkuW8ZJms8npyQnGQLM+h0kckysrzw9qQ7BeT/HKq69wfnZGv99nc3OTqtIsl0sW8zl5bbp3aXonZU1azIp6o41BV7ZQI6UiCiMaUYMkiXn7/Mx2fauK5WJpZfxtrEGeMXiei5KK5WKBMYYwivBcl7Ozc+I4YTA4Zzafr7wBrhwccOPGzTq/W+BevUana3PcsyxFSEmz2aTdaiGEzXsPw5AHD+7X2doVVVWSZhlpZv0OhhcXTF2Xi4shzWaD3d1dTk9P6hEDgTFmFSMmhDVU63S69h6TAq2tX4A1U7OGanG8pL+xwZ39A9rtdm30Z7+HSRyDgCSOmc3mjEajVW76mnR/b6xJ9wfDC026ixImscAR4D/DWe411lhjjTXWeF6xTAVxLgi952dMq9Wym/SL4QWNRoOiKJjNZqvNoue69Ho97ty5Uzsh25nRV159hVarTZalTKdT8ixHCGs6lKUpp0nCxcUFrusQRRE3bt5AYOPhzs/PcZTD2dl53U3sopSiqiq+9vWv841vfIMstR11KSWNRoONzU0ajQbjsZ3ZrcpyFTuulMR13KcyZK2J48Q6ngeB7V7P56sCQVVaY65pPl3lQS+XS/r9PltbDr7vU2nNvfv3KXIrfVaOjeAKw5A4jinynK989StsbG5wsL9v/aWqkp2dXRzH/s1Ro8HF4ILDw0OKMkabS6mh4DOf+cyqaxyGlthOp1Yq3+l0OLhyhWaruerSWmK6IE0zyrKecxYSpSTT6ZQksRnXO9s7OI6LkO/Y7GuDo6yMudlssVe7zl+SvCLPUY7DrVu3Vo9VtXmZlGplXOe6LsZgZ7AXc46Pju1xLeacDwY4ymEy9eh2uvXjC/I858qVK9y6dRNtDNevXWN/b58wDKjq4sdlJryQArRZFSYu1QONRoM8yymKvC7eCGto5rnkhZ0HT9OUOI5XUvjFYs7x8bHtYntWgh9FDZRS3Llzl6OjI8CQFwWDwQVZnlmSbiAIfLrdLnfu3CWKIoS0c/5KKTb6GyhllQZlWa1c+oWUeJ6PlGI1ljEajVFK2u9M/TwpJbrSxEXMMl5SFKXtUvfsOStLqxSZTCZ0uh10VdnOvVJIreuiy+UZsvFyWZaTJmktUTcrd3mtK+LEdroXiwXTyYSTk1OKIucFCnT6UFiT7g+GF5Z0rwi3tBLzonoxb4A11lhjjTXW+KBYpoJlJog8g/pwIRt/qjCfz2i17YxsVZaWJDci0iy18V9CEMdLptMpUgra7RZaazptK9tNEttpVo7CaENR5JRlRVVVZKR4nofjutzZ3cVxXZI4pigKzs/OiZOYnZ0dtjY3cRxr9rqYL2wUE5ZWuJ7HK6+8yvb2NkVRcHj4mOPjE7Isw/NchJS0222ajQaVrsjzvM7DdkjShLKqkNpwMbywc+urGXYr5b7soJZlwcXFBe12h0pXPHr0iPlsjjHW6MzVLlEYsbPT5+TkmCSxUvpvvv463U4Hz/dX3Ujr9L2F7/vMZzPCMLRZ5bp2Nhf279LaoIT97JPjE5I0sVFlZYnRBikExlgX9eFoaOeghd3IG0xtNmdwXRetDe12yxLA77DRN8bQbLXI0gyDjQbTRjOfzZlMrIy+0+niui5FWaArXSsM3gGbPQYYfM+3MWCOoiwra7hWWGKcxDFgu9JhGDIaDelv9BFAp9NB64qyrCirkvFozHg8WcW2Veh3fdzO9g7bO9uMhiOkkgyHQzrtDr7v4XnWmGsymXJ6dspoPLaKAmPn0M/Oztjf26fZaK6ujed5XLt2jVa7xcnxMRcXQ0vms7wmtKI+lx2CwF8VL6p6Dt9xVN2FFpRlSlGWKKlwXSu5t/FoehUBpo1GSonneviex8bGBnGSIIWsY+40rXaXq1evkmVWVVGWJQ/efkAQBMTLmOl0Yu8dw2oO20a4sfJVKMuSk+MTlFQ4tRu/oxzmsxmL+aKeG6/sDH0pVt4Ma7w/1qT7g+GFI91KQZanJGWIkpqWl1KVEl0pssl90jT73m/yAaFNRVi9O6OvUBOqDxkH9ieBbJ4/889YY401Xhykw49hd6JLKCbvfixPQD7bpStLfXR5G22qVSbx6r89ZzLqDwKlQFcx86VHnHtEXo4nK/Ly2a2jH/f6aRanjKe2e6a1YbuZUvolOw0FQuEo8LwMmbxFnuc0pSUv1cyhNIZsPscvx9zcKpBSoLVAG4Uxl71KcJwlEUe4xqHVkMRxTHOzQGvBZneBWzwkG9kO67WNmAY+ZWUzlLd3dtjcMAhxDh5svtTg1etXMTXxk1KijbEd7uIhuhQsy4KqrLjaj8miYtWxBUNVeShHURY2c/myryqFYLOzwMkekExiGmbEqzcUGHvehRS0moZOB7Yin2Vsz5kU55zc+91VUcDNZnRdQTE5RSuHvY7DVhQwmYZkWV6bzQny8dcZyWM81+Ps7Iwr/RjTkwgEjpOzPP9DJmXPZjNrw7V+zPWNLgBZlrFcLokaiq1+TBhFGCPIsxHldEaSeO/a7BtjO6JhVeKpiunxWywWc9IkpdIa13VoNhqEzW1kIXEufwuWijz5dhKvtcYUBX1/QuVUuO0ZWw1TewbZQsHl0LHvFbjuiOnxH6ArzfzMpRE1alO3giyJ2e9U7LYUVQUGe76VVDSbTbZ3Qlw3Y7epyPKMq70A1zNEocKYgsHgDaoipy1zGtsletNdFVKknJIO/4jYHyCFXMW5UVa0RInsLmmpnEVDY7RTf7ZAClDmkLe/PqVVZ8RfGp7lNQmrqoq8nmEvqgBdk+G7+wYn81eGdJf3TuB7XL9xHd/zQQiKPGc2nzOdTGg05mxu2si6at92vKfTM5azJU5ZsRHAxjWJNo6NipOSK1evEoUhZVUyr2XjWp8xPz1dKQGEEARBQFtZL4G9VsVWCJV2wUA6/OOP6FfkPfiY17Pvto5V5dq9/JPCC0e6tZEsixDPgXZYIYWLRiC0RHltlF8+uw83JVX57g2cdLoo8ewvgynm3/tJa6yxxhp/Qii/9+w/RBdg3kPg/C7PNNsRUNpBCGXdj+XTDUpRCZbFC7dsfhuMgbQMyCqXhl8S+VBWzrNdRz/m9fPtw28ipMR1HbIsq+dFLx2vrdt4UkJVFRRFie/7KKkYzUqkcjg+nREnOWVRIpUlaFWpn7pgS0mrFVDoEIxDFDSQlU8Y2llxr9FC1XLosizBSahkTl7kbGzs0unv4AThKuJIGoP0tP2sOlrMGFBaM5tNSZOUIoei1AynFUVunxv4DpubG1SVJssy4uXMmsIZcF1Ft9ej0d3H832mywGTJSTJ0+vgug7tfhc37OMEgsnZI7QxSKGZpzPSKiDPM9Ikte7kUiKloNVq4zoe0utRZovaqbuipGCZzQgDn9EoY7HQq9c5qqIUOVmV2NlsAa3WLu1Wu75OOffu36MwLjgdnKAFCEoSiqokz+xYgH8p2wYwGiEKiiRlPJsxGlnjNSkEni/BcWmWPp7n4YfWrf3SOf4yL93zPaQQCANGFShfcHE+YDwr0auZdYPRtpsvhKTd9imMQ17kpGmK51a0Cs/KxcuSLLPFj8v5fCGso3kQhGy1dhFum9KAVh5xPkHKgFazh+t7FEXJLLlgsbCZ49oI8qxaNXGlNCTFkqht8H2Hoi7GaG0oS02WKWaxYDLTKwUE2FtNiJLBeIDjTIiiiP39fXZ2N5FSIQBdFkid2Xa88lC1w31AxDI/JE2Sd40/tKVH1Nqzv7UIHF+j/B7LTBE0O7hhz8rPtaHhtLmYFMR5wWUEmADyvCDLUqSEG34fN2rgC4GWbQ5PZiRpspLB+769drMko8hze69KSVnq1e/LM1vbPub17DutY9rA4iNYw573nO5nhRdu91AZh0BKuk2BrCvkAhBG4ER7H0XE63eHzsnzdz+kvAPc98kZ/ahgsskz/4w11ljjxYHbvPrsP6TKvn2T0jj4HrmmHx6OAKFchDLIupFalDBLBY5cR11URpGUHu1Q0AhcwH326+jHvH7mokeW5iwuLiOmbA5wEDq4jsvO7jazxYJlHCMICLSPlIrx4YIizzk7G9emV5IgsHFVBpgtraz62sFV9vb2yYscJ2ogfI+NdoDWlZVJG8N4saQsS7R2GMUeXvMq2s24mIPX9GhuHiCFBOwcbRrHREGE4ygQAq01i8WCr7z+BvP5nKIoKPLCGpoZQ7fTYnP/Bt3dPeJlzMM3vsliDlr7tDttPv3Zz7K/t1/LqQ0y2GdeNDj+5jfBGNrtNq+8+hrb29vEcYJ2FYPZIXltNidExuPTJyv3dWNMTXx89hyfa1evstPp1JnXOdPJxBLONAM/oHIc/M4G85l1ja+qinGS446mRGFIGEbc+tRrVk4twNea/MGIB4+eUIger/Ru4nk+Qi85OTzk8ePHNJsNbt++Q7fXxWjDMl6yXFbMZhWjuWKZhThOG+k4bO7v4QcBqXZBhDQavVq+LCirksf3HzAYDPjUp16m1W7jOQ6yrDBLj/tP3mY+S1fZ0TaN6mnBpVcaiiJmuVwChk7Hx2m02dzd5OLigqOj+/W10shamv+5z32Oa9euoXXFeDzGcV0uRhcI0UUYQcfZpJAuSZVw77GNYrOz5y5JWq5UDEJIPC+lEKPVbPViMQchKOsCUpIWLBeaqtKXY9Jczkpbb7MS1ykYLhw2Dj5Nq9m093tVMs+H6KrC97vIMEBJiRMZXv2hNl/8/S8yHo0xRhOGHk7UQkUHOG5NRww4WrPnbNt4Od/jcp7e1RVX3G1u1t3qqtJMZ1MePXzI2eQI5Si0u43X7COEJJ0dczzSFLmgv7HN5s4Oi8WC5XLJ2empVTM4DkJKqrKs5e/62a1tH/N69t51TBuYLwXVRzS3/qJ2qz8MXjjSDYZmUCE/hu7yGmusscYaP/h4pwdI6D5HYdQfEAaHyNU0gue3W/Hn/8JfsBnMZ+csFnMGgwFxHJPXxOX+/ftgsB1uJWk0+iAEg/MBs/ls5cjtux43b92i1WyRJAkbWZ8bN26ytbWFlIKiKOuMaNuddhwHrQ1vvvktDp8ckiYpGxt9XvvMZwh8n4cPH/KtN99kcD5ACMnOzjbn5+fcv/+AxWLBtWvXuH79Go7jcD4Y8PjRI85OT60Ddh03ZXOwJa7r4jguo+GQ4XDIdDoFYwiCkO2tLba3tlZdemPA9z2bzTydUhQFn/70a2xsbCCEIIrsse/t7TEeT0iztO7SXkZc2ZzyIAg42N/n1q1bqwzoy/++vbVNpStMnct89eoVzs/POTo6Jk1TqrIiyzKkkEipcF23lsdbCCFoRBHL5ZKvf/0bFEXBzZu3CMIAz/esEVxlZeNKShbxgiRNODqys+jNZoPtrW2uXrtK4AeAIU4SdKVtjrpjXccx1qwtjmMGgwG7e7v4QYDrOHUH3sqkK63r7rB1S69q7yApJEVhu6yXEvcsz/GDgJ2dXWtERi1XN3a84fr161y/fg3Xdbm4mPHNb75BGIZsb2/VEv4SECyXS2ZTG2NmjKbb7dDr9zk7Paud5jM816XdbnPr1k3rqJ7ELJZLq7DwPZqNJqPRkDfftKMTnU6HTqdNq9Xi5OSEk5NTaygnJWXtmB74Pko5GCBexsznc+I4YXNzg1a7jZKK7e1t/tpf/av8n3/wB4xGI8IwRGvNw0cPuXH9OkrZfbkxhiiKUEquvhdCCJRQdNqdmuyZ+p708T1vVWQSUpAk1jzuG9/4BnlmSe7Ozg43rl8HBK9/83VGwyGy0jiOotVqs1wuSZKE53WoWxuYLgWlhpb/4dewtbz8g+GFY57SFEgRftKHscYaa6yxxg8A3km4Ow1DWXzSR/TJQ1ASehp4fkl3FNqcad/zmUwnuK7HZDLm5PSUPM+pyqp20Bb4QbAiENZs66mUVzkOjajBzs42i8WC4XC46l4KKREC0lq+LqSgKkuSNOX8/KwmMwFR1KDdaiNETSiWS+I45o03vkmSxDx58oSL4ZCqqrh//z5JmlDkBUli456Koqy7lU83uo7jopRiOBySpimz2ZSqtJvxMAoxBuI4QSqFoxRVpTk7O+fo6AnzxQKtNQ8ePKDVatp4piRhOBrhuh5RIyIIfOaLhTW0upydDkP6vR67u7tsbW3hOM47QsjtRtwRCiOVjUhLUx4+emSjnJZLDFi3cUextbVJs9mkLAtULamvKk3UsE7cxhjG4zHt9nAVF9Xr9VBKWjMtx7VkUDmMmyMA8qLAdV0818NxHYzWuI7LeDGmH/RYafmxRmBVVdHv92y+dF5gQjun3Gg0Vm7utsghcT0XWVZIJWm3WrRababTCfEyRghLsJcLa8znei5BbTJnz4uk3+/jOA5pmnF2dsZiMScIAq5du27dyjPrMj6bTnn0+DGtVgshBQf7+7V7uCReLhmPx3Q6XbZ3trly5UpNzq3hGAIbbScEW1ubOI5DHCfs7F6a+jncvHmTL3/5D4mTGCEEnvv0s13XdorbnTZgs95F7UpuY+sEQRBy5eCAbrdr5d3acHJ8TLvdptVsoZRVPRgDYRi8q6hizwVcEmNjNHluDQqv1+eh0+6gtWYwGDCbzcjzYhWNliQprufS63aZ9/uAQClJUZaUZfHcOpebdxDubmTekfv+wbEm3R8MLxzpXmONNdZYY40/CcoSFtlTwi1fzH3Ct0GY57/bfynBdlyHdqtNnufE8RIp5YqcCgE7O9vs7u6RZSllWRIv4zoz2HaTu50unW6H2WzOw4dvM5vPmc3mltx5ro0smk5ZLpekWWaJZC3x7fV6bG9tce3adTzPo6ps/nNZ2q7maDxmOp2hjSaJ45Vx2qOHj8jzrO7qurRaTZRyLAGuCZ7neuzs7OD5HoePDymKgiDw8Twf13GYTMZ89atfod1uE0Y2X/rx4SGz6YyiKBACRsMRg8GgzgK/zL+WlKXN+b40dCursnb3hkajSRRFNXt6xxeq5gGXvEcgODs94+0HD1aO1wBaaFpNS1rDMOTs/Jxmo0mr1UIbzZWDA/7KX/krLBcLjo9PVhFafuATRRGOUjQbjVVecxRF7O3v8+TwCZPphGW8tM7aQpBXmjiJqapqReSNNuRZznA45PDwMY7j2ui2jU200SghicKIl19+mS996Us1gd1mb2+PMAzZ3d0hCEKKImc6nfEHf/AHVmIubJGh2+0QhhGbG5u8+ea3ePvhQxyl6HTaZFnGcDjiydETPM+rr02IrHOr0yzj9PSMNE1pNVtcvXqFg4MDwLqjTyZjms0WjuuwtbmF67r2PLzHffzysrz00kuUdYzcZYGk0Whw+85tZtMpWmsazSZJmjIcjawTue/hKIfd3V0b0VaTq8sIOjDs7O5y1XXJ8pzJeMLXvvY1/tf/+l/cvHmTRqNBlqaMxxNu3b7F9vY2EjtCoesseIF1Qx9PxhwfHSMEvPLqq/iej8FQFiWPDx+zWNrc8aosefT4MVVVsbu3x97ePtev32C+mPP40SOeHB1ZGT28O1LuOYAxMI8FGku4XYdvG9P5IFiT7g+GNeleY4011lhjjfdAa1jkAk+tCfeLCBsFpgiCgLLuZOZ5XkuaJUop2p02BwcHdDqWVE+n01VklXXbdlfxRpPJmOl0ShzHGGOYz+cYYxiNRqRpYqXdWFlyEAS4dZZ2FEWEYYgxhjRNGY9GKwKTJslKjl5Vdha8LMpVBBcYXM/l+rXrNJoNlJRMZzPKokBKyc2bN/E8e4yPHz1muVyysdHHGMNyGXM+GHBxcUEYRcRxTLyMqarSmoIZMJWdLVZK4jguWld1rrg1aXMdlzAK8bTHfDGnSDOm0wnTaZderzbI4p2k7Olm3GC4uBig39N9vJxTH4/HLJe2YNHr9a1c3nOJwpC93d0VwVoul2RZRhRGtvtrPwQhIM9s1ridu/eRc5ulfmleBtg86DynKEpcT4OGo6Mjjk+OSdKURqTI85wkSej1e/W8tMfVq9d48OBtHNfh+rXr9Pt92p023oroQrPZ4M6d21wMhyRxzM1blnQq5dDrdfn85/8cm5tbLJYLlLKGfkWR0+/1aLVabG5t2Zl+Yf0UpJCcD84p8pxmo0Gz2cJ1PcAWjxrNJovFgvPzc6aTqc3q9j2oSe27iiBQKzkkZVna660r8rxgNp0xHA7Z2dlBSUmaJCxrf4Nms8mN6zfw/WAlDy/rTvJljroxBiltvntVx6vFScJiviBLM+LYzrpXZYWuNJcBBbqqyLKcSlcsFwvOzs44Pj6u722b2y6QOI6y/46V9UulCMPQyt9r1UVe5GRZxvn5OctakSGkwJHPUe4hUFRQGug3LOH+qLAm3R8Ma9K9xhprrLHGGu9BUVkjmjXhfjERJwm+7+Nqd9V1znMr983znCAICQKfJElRSrFYzFksFriOY+WxUMvIJScnxzw5OiLPMjubqhziOCYMQ6JGZCO1XA/Pc+n2rHOy4zg4yjpyD0dDHKVqcm2dvI22XT87q21Dn5S05NfzPRyl2NjY5Oq1q+xsbwOCyWRsY5cmU/zAt3PKrsfVK1fodDqI+u9+cviEOIlt91xrZrP50xix93AzIQSu59FqtqiqyhYejKnNvyLCIEAIYXOWq5KT01Nm8zlCQLfXo91qA1BV5ep4LputW1tbvPnmW2hdvWPS1jAaDVkuF3iedRWfTKckScJLL91dmbUJIWk2HZRUnJyeMEqG7Pl7+H4AQJIkPDk6oiwKssyqApSUKOWsFANKKaIootVqE0UhQsiVGVpak/M8zyiKAqnsNUFZh3Lf9/lzf+7PkRc5nXabSlsn8DzP0VpzenZGs9FkY3OTvf19ojDEdV0712wrAwgBe3t7XFxccHZ2hu97RFGDnR2J63o0oojLCyIEOK5jzfLKkvl8zmw2o9Pp4HmenUcPI87PB5yenlBpzXg8Znd3h2vXr5OmKXu7u4Sh/Tvrq7siyVrbQkRRFBwdPWE6nTGdzVBKMZ1OrSu5MfT7G+zu7tKT3adXzBiKoiRNU4rSSviLoiBNU06OjxkOhwghSZIYpVpUuqLX6xFGdhS0LG2M2mUBpaxKe60ch1arSa/XtyZoxipMqkrT6XSYz+eUZcnO7g4729t1t3/KZDxhOLxgOByxjJdgbKZ7FIX0+/2P7DfkTwOMgXbw0RJuWJPuD4oXjnRLCUbn6OpppImpBKaSlPEphXl2kWGVKfHK0bsfK4CPwdRN+LNn/hlrrLHGi4NicfjsP0QX8N7kBXH0zCPDysQBs0/DL0Eb3ulXbvTavfyTWEc/7vVzs1kCJaKKQQs8CjphiuoYkrQiSy8wqUKpBlUywzM5G01Nte2SpdYACyEI5AQkbLc1Wtu51kZDcn0vwHUVSaLwTcVmK6QsS9rtisAP6s7fnNl0Qjx1CX0f1/U42FQkDQ+tDcpRGK1XXVnHdWg2mitzt43NFq1miSwGlGXB/OKIfDFBlkt0oognPYhCHMehoSpAEEQVctdD5IYAgTHy26ylLrfLUkkcpQjCgCh0cL2Ii0GKchwcpej3W0gpmM/n7Pag0ravHYQVnhkjspxCTldS/KqUiPypmdaVLZcfenWP+XxeR02Zlf5ciBLfVyhlCAIfVQ6YnGlE3iMIg6fHWpQ45QW6yCGXaO1ihCBPEuYX9ymKAs/1iAKfjd0GZZkhsjMMHkZKfAESQRWLlYv3dlfj3ujQDWzBxfMKyE4plgVVHYVkdEXDLfEobRZzWREvLfGcz+ckSYq3tUm328V3fYROMJmhyJ5+jtaaIk1IJqd4QNNrE7qGUGnKIkanCbmaXYafUS0X7HQMlRa4Tky+eEw216gwwjEGXeZ0oxR6YIxEyAnTwZT7iye4nkvTmSPabRzH/r7Wk9MIYzB1Bp2qCq7teIx9h6rKAIEMM7Rv7wzPWxCP7pNGGY6y+d5VVWF0RSgFgQuVriiXFceHj8nmA7baGtdTONUQX1S4YcVGv4HIz1iOzsmLkjxLmc1mVmXiuIStFr0oxyk1ZXHOyaOYbreLQFizveKM63s+reYGjuuxsaEwesbxxBoOlnlBJzB0QomjHBrNBkEQ0mqFz25t+5jXszJxcMQeSlTo6h1lq49gDVuT7g+GF45026pdidFPL7jREmMUVT6jktn7vPrDQZsKVS3f/VglWWlnniGEmzzzz1hjjTVeHFTZ+Nl/iC6hfM9vVzYB+WyXrir3ccQWwlTftkF5Xs12vh98Euvox71+qsvrfDm+Xhb4MmUUDyizDGE0GEkyn1OkDgf7B3aGu7XD8GJInMQARG6O63ko7VBp+2aNSOGKGKkloVux2fWYTif4SuAQUyQLijjGFCmeTKBKqDIHSsVmL6R9/SpRGCGlpCgKzgcDqrKk0+0QBAFGWwmtFDE6L8lzyLKMdHGOrDKagUGgOT9+k+2tbRqNhs1ZlgJhNC4xDb9EtuTT7vYlhHXfFkKsZO+e56CUptly2N28ipIK13Mx2jAej5iXMzoNEELhuA4b/T6dlsT1KoRZWnd0bc+1rp7eUwr41O1dimKD0WjEYrEgSVMwxs6MB57NvpYVVZkxHS2Rek4RRTiOg1TWxCt0cyJPYPLJ6lyMRiNkFaN0iagc8hh8leE5DnkywCGCmjTq9/ADZTTt0MBGsMpt92VKlY0wK3k8mLLElRI0CGEQoiTJZ1AsaIcuoZPjiQRTppeJXKvCQpzEzGdzJpOJHWVot4ncAkfEaKHJiyXLtMKXVqZvAFGl9FoSY4Q1FYvAFQlVbnPXKUu2uh6O8VbZ4SCQIiPwBZ5MMYWhLEV9PKZWa6jVrLfQmu1+QDNoM1/MydIMZQRWoi5wFDgsmVxYMzelbH63AhACCUgMusqo0hGtUGN8gVIGx9H2e+FKhJ4zGYxIs4wkjq3EHYOSNnJO6TmNRoPIK0nTjNHZgIsTvYpoCzwXqRyaoUHKgnx5TpomyGpB5BXggud5bGxs4vs+ZVXWcvb5s1vbPub1rMp9BFsYXWHE03Xso1jD1jndHwwvHOmuKpAqQr1Da6ElSCHwuy8TPMOc7kLnJPnRux7b+Jhyupevf+2Zf8Yaa6zx4iDY+Myz/5Aqg8WDdz/WvPXMc7qzJSjXRTrG7rvfeUjPUA31g4JPYh392NfPlbGXJbDDkxPeevgmjx7FFEW+2ty7rkcYOezduWtdsQ08OPsj3nr4JgCbmz63bt0mSyY8efKEPM85uNLjdutTeK7HbDbjyfgR9x+c4igHqSo8z8NRDY6PJ6RpDlji4Pk+d+9c58aVP4PnewgEWlcU3oWVMXe6OI7DZDrh6MkT0jSj0XAIo5DJuOT+2wVVZTDGEqlGU5CIgFe27uIGIUrZCKj59BH3z4aMhvlKsnupKhdCEkURvu/T7XVtlFdVsbnRx+nucfXg6mqWtyhyvvbl/x/n5wnaGHzf5+6dmzR37tDsdmvzNVYZ1oanhP6yE6a1xq1K5vqM5fIJZ9NThLQO4FvRls1dni2YzefoqmIzVXgedDqRNfMKHIxKqbQmLUqkkpxcHPPoUc5imaGrCkSBQNDfiOh1W9zt38LpbOD7/rvHnGtmXJYlFAWKEcvlkrKo0EGTINrADfy682zIshzHcVYRbUVRkIgxUszwo4jO7i6e773r/fMix2jDcPSIR8cLxmNQjuDl5j6dxhWidpssS5lOHlEUBdudl1dz28vhiAfnDymKghvXr7DdvYHf21ods6w01eKEWJ6SFxnL5ZLlckmz1eKlvZdo791F1WMMlx35NE1otduEQYiQAp3n5FUMjRJHJgyTU+4/uU+eF0gpCEOHcPMKyu/g93Zt8UOK1XUGK92fDAa8cXiPJLGuXn6giEIPz1MEQciut8N4MuboyZg4TqwJIPY753klzabk6rUN8lwSx4LzsylZPb4BgoODLTrdDk1vG4Tg5OSE05Mh01lGVZY0mk1efeVV9u58CiEl49GI6WxmlRsbNz/iH5MaH/N6li1BOt++jn0Ua9i60/3B8MKR7jXWWGONNdZYY433gzEaISypzfOCe/fu8eTJUT2vfRlZZCjKApkKlosFrmOdwj/1qU9xcnKC0YZXXnmFq1evIoTk5Zdf5g//8MtIKTl8fMjm1ia///u/b+edS7sRdurOaRCGKMdBiLyeqdXkWcZ4MrFxY4g6/1nS6bQxgOe6GGPnjcfjCaenJwhpSbKSCsdxaLdblGVJEIR2pjwKKauKNE1JkoTJZMwb3/oWaZLSaDStG7XrorVeuba3Wi1rtrawTupZlhH4AUVe2M5mTbJc12U2n9s5dCHodru8+uqrOK6zkk+DwGCswZy2sWKWqF7mMwPG0Ol06PV67OzsUJWlde4OQ8bjCefnZ+zs7NaRajFxnDAej4kaDbrdLq1mC4M9h5ez2ltb2+T5EzJtKEtrLBfHMb1uF621jZm6vBe0JklTHr790Mah+QHKUQyHI6bTCScnJzQaTW7cuM7+/j6NZnOVz22MwXFdBALPk/T7G3Q6XYIg+I7dPoGgrAranTZRo8FiYd3Ud3Z2aDQaNYFXeL5v7xHlrD7H9312d3ZxXZdXXn3FznwLQZEXzOcLwjDk5q2b3LlzGwPMZ3OOj49oNlv0+31U3dlHGLSxkXBhGHB8coIALoZD8izDcRx2dna5c/cOrVYLKRWHh4dIJen3egRhiOd6T4mZsNnmxmjKsuTi4oKjoyP8IKjzxSEMQ1rtljXCWzm971qDQSFYLqzKxdQFhEtDvZfuvkSapdy+fZvjoyOSJCGKGly/cR3HcQiDkDiJV+ZsutJ4nsePfeHHODg4QCoJBnuftFqr41nj/bEm3R8Ma9K9xhprrLHGGmv8qYYrPW4Gz6gD9R1QltbNOM8yxrXxUlV9+4ZcgO2ipqmVjwtBFEZcObhCksR4vl93+xTdbpeXP/Up5rM5s9mULEtZLBboSmO0NR/T2uD7Hm4dt5TECZeJWbo24iqKctXdtKZlcmXadikdLcqCqqpwhGC5XGK0NRgry5JOt4uUknbL5lcvFgviZcz5+RnT2azOXLZRWLu7O+zs7IKA2Wy2em6apsTxkrKqalKa4DiKd++lbY7zEpBS0OvW89bGmtF5nruKMCvygvliXsdmdW2XuR7hrqqKvMjxPZ92u23PWe0AHwQBu7t7SCnwPCsTHl5cUJYV/V4P3/dtbNSlUZqU7B8cUBbWuO3s7IzhaIiQEtdxcByX6XRmc7FDS0KLsuTJ4SFf/vKX8DyfH/qhz9Hvb6C1pqwqkiSp/2fPy/UbN2hEjRVBtHFbcNmplVK+1yi8Rh2JJey1uXnjJlLYGeUgeOoG7jhOXUiRtotcZ7A7jsOVq1fwPZ9G1EApSVWb7SlH4Qc+nuuuSHAQBLQ7nZVzt9YahLDdf2NoNht4ns98PidOEi4GA3R9n/p+gOu6lsjfvEGjEXFxcUEURaRJSqfTqQ3t3vFFEVBWJWmWkqYJruMQhAFVWeF7Hu1Wq85w37Yz/lXJlYMrZFnKyckpCHvfOI7DzvY2W1tbtdFdC9/32drcZL5YkOc5vu/juV4dg+dx5coV5rMZi4Wh2WzR7XZWHXgEKGW/o573DJWnyofOK8/u/T9GrEn3B8OadK+xxhprrLHGGmu8A1/96lcJw8C6QRclcRxb4lbHEVWV7bZpbaAs0cbmNwvA9Vxu3LzB6ckpWZqRJAmNZhPHcdjf3yftWVOosix49ZVXKMuS09MzwtAaqDWiCNd1SdOU5WKBzu2sqhHWdTuO49oszZJCpVQdh2S7767r4igH1/Moi3KVOV4UeZ03HuO63qpLfXExZLlcMh6PQUDg+2xsbHDz1i1L3hxV5yOLlTt7tayotO1gO55Hv9+n1WqvZPdgN9avvfYaf/iHX6HRbHDn7h1LOOvIs6Io8OuOb7vdxvM80jSpj/cyj7kkzTLiZcxgMKDf62O0YXA+qE3pItqdDo0owvM8a6IlJUramCiELZxMZzOKPCeMIrqdDkII+v0es/mcr/3xHyOErJ3abayb67ncvn0biSWhjx49Ik1T0jTj4cOHtNptrt+4jjpUvP322+iqYjKZ8Md//DWKouTgYB+tNVmWIwS1K7bAdZ26YAIr0X7d9Z/NZ4xHY5rNBu12h42NDVzXwcAqJxtshny8XKIcx96TqwEA2NneJggC+3wgy3ImkzHtdhvXcVfvYYmmjTebzWacnZ2xWCzY3tomjEKqsiIIQ7I0ZW9/n/l8znKxZLFc4CjF9vY2ruPgeR79/gbKcZhOZ4Dg5PQEg6HZaBIE/up+kHWcWrfTJQxDhhcXKMdhMZ9z9do1et3uyr1ea0OeZ7Ujep87d+/iex6j0RjXs2Q/8H2kUsj6/YMgAASLxXyVFOAbD6UUB/v7NBsN3njjW2ij6+denjbb2bffZ03w3pmiNb4Na9L9wbAm3R8jPu5K/RprrLHGDzSeo87AGj9YeP3111GOIgpDpLQdYiklzWaTfr/HYrFkMp2QpRnG2Axh13UoywpjNEWeU5YFg8GAoiy4e+cuSlnzoSAM8H0PY6C/sYFAcPv2bcqqYjabYYxhMBgg86J2Jq8du7GzwY77tHN6CW00aZIyOB9w795bjEZjyqKkrGxu96UkHl2RF7Z7PDg/J242MeZpR7bT7bC7u0uj0aDf61GWJePxGNdxcT0Xr/RpNqx8ejKZgIC93V3u3L5DFEWWRr4jVmx3d4/P/ZBGV5p2u42SEmNspJZ4hxmTdAVSRrVBk7LE3GrLqcqKweDcdlyXS8IwIgh8qkqvurZSqvolEs/16ve1MvyiKHny5AlVWdJqtQlrUmrlxwGvvPIqcbzk/PycsqwYDoccPn7MrZs3QQmEkBRFWVNkQ5wkeK5Hs9Hk+vXrPHr0iPPBuTXi0hXz+YzFosPp2SnDi6Ht0vs+YRBw96WX2Ohv2GKFo1YmZUVRMB6NePz4kCDw+cxnPovn2YgwKykXK6O1ZRzb61sWbG5sEAThUyl7raoAW4DJssxmW9cS/xWMLWjkec50MkFr+1zXcUjTiEazwWI+BwS9fsjmxib7e3ss4xglJd1uF8/z6uulwdhse1uMMrTbbYbDIZubmwSBz2UOnKMUzVaTSEc4SpHnBc1mk163h+u5Nncca9Q4Ho958PYDet0u7XabwPdpNpsAuPXfKRBoY+qiWEWRF5R1p/4SQthRB4Sw5mtR+K5zcamamE2nSKm4eu3qh/8Bec6xJt0fDGvSvcYaa6yxxhprrPEO5HkGuaAsCuuU7Qc4rsOf//N/no2NDU7PTvnyl75MlqYAdYfXksg8tx3k6WzGYDDg/v37nJ2ecvPmLa5du2YlvlgSEgQ+2hh0Zd2Fu52OlV67Hm+99eZTh2lpCeXuzo6VTGtNUUvKq6ri5OSEL33py6tsYgDlqMvI51WslFQKjJXEl0lKnhe02212tndot1tEUYP+Rp8wCNFGEycJ9+/dZ7GY02g0OTg4oNvt0Gg2GAwucFxLXi/npbPUzvwqJeus7CYv3X0JIYUl3PXxSKHevfEWtmMfRiG6srJtex0KFos54/GEJE2Yzebs7e2yvb1Ds9mw51xZl/WyKsnyjLzIEQiCIEAbK333XJeT4bCWzjtsbGwSJzFpYo3glsslo/GY2XRGUeRUVcXZ2TlbW5uUpe1cn52dUZYlRW7Nv+yMfJv/4//4cf7X//o/efToIUJImzfuuWRpxmw2pao08TImDnzap6cAjEZDsjznysEVGo0GYPA8nyxLaTYbpFlaZ6BbF3jHcSirkiSOefvBA+4/uI9Siv2DAzY3NlcycyvHL6kqQVEWnJycUBSFLdRcwthu+Ww+X+Vfu67Hzs4OGxsbSCkoy5LJZGpHHVyXZqtJp9Pm23XxhjzPubi4IEkS8iKn2WgwOB8wnUxotzt89rOfIYou3RUFjnLQUlNpzXw+I6yd+MXqvQ3L5YKvfOUrjMdj5rMZvX6fXrcLQuC6LlLZ4ozWmjRNOB8MiJcxe/t79Lo9fN/G6hVlQZpmzOYzLgYXCCHY3Nyy34PLWXOtuX/vHo8PDzHGrEn3nwBr0v3B8OKRblG7ZJpq9ZCVZElMmaCL5zSDVeaf9BGsscYazxF0sfzeT/oBhSlt/JVdK97z38xzukZ8P3gB1tHQq0mqrFBKEEU+vX6PfjdEiZx2w6XfiyiyGQBCZ6TJmEYgqcqCbjtg0Y2YjTRUBRfnT2g3PQ72NhBaPpX5GoM21tFZ1MTTVYZGIAg8CD3QiprMOezt9KiKRX2PapRUJGlKvBhSlQt8p8JTdkPsuApjBMZYghhGEVEUMroYUZS2iy6EJvRByZxWw6HZ9PBURVUskFIgTYYix3M06AQlCpRUCKVpNVzbhSVnOj5hMT0nzTKUUnS6XTZ6vdpYzXYkKw26MqsCgqgLD/Y82P/TmLrrmmK07WAW6RxXlVSqREtDlswIg11CTyClsN/JMrGRZ1WKpzTaaLJ4jFQSz6nod0LyJEJIwXIxQpex7dQD48kEjKEqCnxX40iB0CkXZ49pNayE+s6tKyhRcvjkMf1uD0GKKWMM4CrNnZv7zKbnKCHZ6DZoRw6dlsfIBe2AFOC5hipfMh2e4ge2cCLJQEscCZv9JndvXyVLM6gSdKmRuFRlQZlDVVacn59xdvIIV5Z02k0UOUKnSOUgjEFXJZW2c+Dz5YIym+E4DoFj0NUSKoklygXzyTkXFxe4ytDvBOxstvB8y9yH8ym6WGKcCp0vbfyUo95BjO3VKouS4yeHnBwd4sgCxxc0AkkQWJl4M1Kk8QTP1UhsF1ujydOch/e/yWg0ptvtEPqs5sCrquL87BBdxoQuCKGZjU5p+BLf91nGU5TJMYGd+59Nx5TpktCXRJ7AlQUKkNKAKFnGU958/WvESYwUgp2tNqZsoVdddU2/G0K1yXQ6e27Wtu+2jn0Ua9iadH8wvHCkW0kwOkYXTx8zlcRULtnsLbIs/eQO7hlCNkef9CGsscYazxGycfW9n/QDiiwLqIpXMKaoHZafYs25X4x19NWbdu5WcOkQHhJFgmL6TSopEUXJtY2c7UYEGHx9SDo8IhObVoauHF46kOy0NpmMJ5RliSdOSUfWsOuSdBtj5dOVrvBcl6qWWztlyWY4IbjqAFZO7jouEcdko+HKTdz1XDzPY6+jce62bOTUJckOA4LAuor7gb8yFctv+IzHE9uxFdBpBwShwPenCDODpd0UV0bjlCXXNnPStMD3JQ3nDJELtNHc3tPkWU5VLckmx+TGupGXAmaJSzby6fX6OI5CSUlRlivjN8+z7tYYs8qovuzIG2MwZUmapigp6PrQPBAsloayKBFyjFc8Qi8dRC0j13WeuNQVRWZngSvHBSnxpSAIBf0bHpWuyPOUqloSde2seKNbrMzNXDdcuWP7+gnzsym9bhcpBLf34NbuAbrS6PwRyfAQISyJbTkZr15zKcuSpntONR+z284Ib7grwmPvo4IgTHHdys6eZ29T5E/vhY2gJFc5MllQZoKyPi+z6dTOlGc5+12N6kvCsKSlzjDxkOod1QttQOcZTpqx0xb4ng/xPYqEurtrjeXM8pimrH0IijkqyzCFpCwLVBqz21nguRm+fkI1O6O6nCmv9MokbrlckoxGbISarYbE93w63Qjf80nTFMMImabklbdytdf1GEWoB+y1NVLEZKOMZW674UmSkE+m3NrRaGOd3xvNmI43wPd8pC8xzCkXdnQiosILS1zHRWUZVemgpf07y7JCL5dsNaboUAOG6cmX6fsjXM9dfd+3mxUboURc6ZGNv/GR/558EsiyAFN++zr2Uaxha9L9wfDCke5Kg5AR0n1qlCDqqqvfvosfPZ87qvitNz7pQ1hjjTWeI/i9T33Sh/DM4MeSipBKerxjXwaAMM9vseFPihdhHX397T8CLEeRyuG113ZwvB6TeUwQhiRxjPHbTOcXK3MzYwyvBm329vfwwhCMoXAXnEzv82TwBEGFiCKuXL1CGAYYIEtTJuMJGNjub1qTLQHFYsnjiyGnpzaiTCBQTsVtEbG1tUmcJjhSEYoGzc4Glda05RVOTo9J0xRPBPhhF4KIVi9YkfOqrIjHI+bVMSispHvzqiXBUqCEwvFcjNYYrcmWS2Jxxrycs9ndwu30cJQiy3O0mHM+OmU0GjKfZauYNRA0mi5+AP0E/MBGlU0nU9rdDq1Wm2ava03KsNJ6Y+zc8qUDuygKqjRdGYItFwtmsxPmixlg6O4d0Iia9jxjjbfKoiBLYpbJkrwo6EQdCqAZRTiehwCKvGA2vGA8HTMcjpjNNFrLlbt622sxTxaMJ2Oi0OXljRv4vSvvUlVrY+Xibx8e4rkuYRQRL5YcT5dcDC4IwwQh7Xz0dGqoasLjuZJrboft9i5hq4Xn+3aO+R0d4CpOSKZTXOnguA5plpKnGY9OZownGUV+acy2wc2Nm/i9K9Y1ntoR3dj3Ic1Rtdmf67p4vl+PVdsZaIqCw68NmU4TDNDf8Ni6cQvHdZkOhxxdHHJ6auh0QvbvvoLnexR5SZzGXFxcECdLhhdTZrMpaZqBsJF1G5sRO7deI/B9nLpwIlwXWY9nIOw1GF+8zeuPj9GlzaV/rbuL6/QYnA+4GC65GKQURVHnxAv29jdpbN+g3e0jahd0Sk2a1c9TGqMk0g1wpM2mF0JSZimT8RO+8fDxaoQDAYVr+OxnP4WjFGAotSbPUqpS47dbz/S35eOCH0u0CBGuh3yHN9xHsYatXPg/xOtfRLxwpJvaaEOId2wWRF21cUKk+z6v/UGGfoYxCGusscYLB+k2vveTfkAhHBBSME8dXGV45zikEOa7v/BFwQuwjsZZbV4mBI4Dw/ES6TZIk5LRdEgYRmxubdHfPODR40ccHv0xxhjuvX1Ep7dD1IgQQtDqRXz6Mz0cr8nZ2TmPjs4ZjBfcuG5zhL/1rW8xm8+5fv06O3sR0vMBCCKHsLlBUpxh6swwVRmOz8aMpjaiyg98oiii3d1GOR5a5jhei35zA9/38f2AIAxxXdsRNtJButDbCNjcvvI0D7vuLtcjrkhhiVlZlszPJyziis2dq1y7dg1HKapK42uNcCLkYMZ0fkKaWYf1IPC5dv06+3t7nJ6ecT6cMJlOwRjCMGL/QNBsb6GcZi1NB63MuzpnxmiEMrh+ayU39oIOWalYxg+ZzWYcnY7opJqd7RCtNePxiMPDJ5ydnxH4AZubm5wNpjQaETdu3ETW5mrj+Zy37j9hvpjbeXg8lKvwfZ8bt18hCANm0xl+NKIsC9ygjXCiVZcWQBqoTMn//tIfYwxsb2/h+wFn5yPyrGC6zHGUYn//gBu394njJYPBgLyqGM8ySjMCGeCkho2NCBzHnvOy5PT8lMFgUJvylfT7GwjhMp3nJJkhzwyOo/DDLtJtEGcG30iCMKyz262RnRsUUNrub1HkxGkF2Bx0qSSOCLjzqc9w7623mM5mbGxeISsls2XMW/cOOTs/w3VdomYfIwIq4yIcl5PTY9544y3SLKMqS0BQj9+jkbS7O0RNm/ktypJlojk8HtBqtej1+nieh0YSNnpo41Iayd1bL3P77mtUVcnFaEmaC+ZJhbaNaRCQFQIhI5TftL8/5GAqgigkAIqiYD6fcfb4rI5YC+n1umxtb9Nsb1JqhzTPVt6Df/yNN5FOxGc/+xm0MYwnYwaDc2azOV/4sS8841+XjwfCgVIL0tzBi95pLPfh17B1p/uD4cUj3WusscYaa6zxPeAq0BVMYkE3ejfxXuP5RxRFgHWLdh2HLM+RQtaO0z7bO9u0Wi3iZczwYkhVM4/JeMLDh48QQhIEAZ7noZTk6tVrBEHAt771JovFgouLC9t1ndnObZZm3Lh+A8+3pNtxXV577TUWiwXj8ZiiLIhCS+SX8ZLlYsF8Dp7n87uT3yHPCwyGrc1Nbty8uXKXth1yhdGGJI7R2tBoNHBc512dKlFnYsvaeU1gZ4irqmJjo8/O9o6VxSPQuiDLch6+/TZHR0cYDL7v0+l2+Wt/9a/i+wHGGDY3N/mv//X/u8pWFlKwu7OL7/nviBazJnHG2MxxA+SZ9aCxkm8b4zS4GPDk6AlxnFBVmtlsxmw25+T4hPlizsVgQFEUmHdcO9dzmU6nCCHY29sjz3Pu37/PkydPAFMbmIEWdYZ4ENBsNInCkF6/R1mUBEFg89Y9f9V1vyT5yrHEeL5Y4Lou/X7f5nXHCVvbW3z+z32eTqdTP3/M17/2dZ4cPeHJk0PeeOMNoijkz/zwD7O7s0sURWhjuBhe8PDRQ6qqIgxDwjC0rvKdNlmWoSIbWQeG8WjMeDSyMVw9e/yB79eO9/b8FSZnOp1x7/49dFVx48YNut3eSj2xubnJlStX8XxvlQNvjFnlXGtjc7mtw3pFq9XC8zzyvKA0l4UpWRclDNPphKIoasf3gouLAd94/XV0pdna2mR//4Bev0e70+HVT3+aPMt57bXPoJREG1k774/qz7W56o7rYozh7PyMxWJOlmV4vs/uzg7Npu1KF0VOUeQcHR8zm04Jo4hm8zP4ns/u7i5/5od/mC9/6cvkxdN76+JiwHg8Js8L3nzzW2RZTpImH/EvyScLR0GcC5SERvDRFYw/btL9S7/0S/zGb/wGb7zxBmEY8oUvfIFf/uVf5uWXX37f1/3H//gf+cf/+B/z8OFD7t69yy//8i/zEz/xEx/4uD8s1tuINdZYY4011ngPhIBWZFimYk28X0Ds7GwTBCFxHNvOmR/YDN86VzrPcxu7VJVP47iwruej0YhWq0Wj2WB7awshHIIgoNPp0Go1SbOM6WRKlmXoesAyy1I7d2lsa09g442+8IUvkGYpy8WSoiw4fPyYwcVFPRutcF3rHJ4kMUo5xHHC5uYmvuc/7c4aQ6Ft1rjWmrDuiq5g3kl6BQKDMVCWRR19ZmfOrVme5uTUdmPfeustijxHSsnu7h4//CM/TBCEdjbbgOO4FGVhZ62FIAptFJXruZRlgeO6CFjlMpdlQZ7npGm22tRfOmk/fvSI+WxmCbzrMJlOEUCe2+zxong6t6qrina7hRCCebVASslisbSu6bImiMa+72W2s+97gEHrCt8PkFKhmoqqrEjSlMVySb/XAyGoygqpFGEQkiQxjmMz0re2tuxcsZJs7+zQaXeQtbt6p91ma2uLBw8eoHWFzZOuePjwIZ7n4bo2/3w0HJFn2aqI47oufhCwvb0DQjCd2vtmuVyuot7CKKIoS7qdLpNqbOOxgFa7jaMc8iK35mwYxuNJfQ8rzs7OGI1G7O7urs6frjTdbndVYBDA2fk5mxsbOI5Lr9el0WhY9/uqRAphXcSNjQ1L05SyrBCyYDweMxyNSOIEMExnMxrNJr1elyzN2OhvkKYpUknKsmI6mTIeT1bO9RgIwxDfs5nyjx4+gjqy7fat2+zv7VnzPAROnRkuhMDzPBzHqc0JQSmHu3fucnZ6xqNHjzDGrOLY4jhBSsnW1jZFWdTn6fmBoyDyDMvMft8/KuL9cZPu3/3d3+Vnf/Zn+fznP09ZlvziL/4if+2v/TVef/31VfHsvfjiF7/I3/27f5df+qVf4m/9rb/Fr//6r/O3//bf5g//8A957bXXPvCxfxi8cFsI821xB2usscYaa6zx7RACOg3DdPmUeK8BWrjo5/xU3LhxA601o9GY4fBiJT/t9fr0N/rc2NzCcRyiMOLWzVscHx2vXIIXiwWtVot2u7WK0lLKmoc1m5Z0F0VBVdloL4HtbJ+endJqNZFSWgIpBI1GRKPRoNftslgsOT05xXNd9vb2uHrlCmEY8vDRI8rDQ/I8J4rC+vUVVWnnsnX9v9lszmK5IM9ztre3a3IpmM/nDAYDxpMJWmsaUYQQkvl8TpomRFGDPMspI3u89+/d4+TklCSJAYHrOvzZP/tn6XQ7q9lnrQ2LxcLKiasKISX7+3skcUJWG531e32CMABjO5V5nrNYLEAIyqKk0hVZljGb2q42CMIoohFFPD48pCwKhJQ4jkueFwhhu6PtTofr128gpSBOEuLlEq0rHMel3e5w4/oNwBYQpFS0O202NzZpt9tUWqOUxHFCpBRUjr1+jx4+IkszG/GmNbqq6PV6VFVJvFxS5Dk7O9vcuXO7JgHvJiWylsmzKtFYM7OjJ0cUec5ofx+MYTQaUlYVjlJs9Ptcr491sVgwn8+4qAsuQkja7TbXr9+wEWWudZIfDod4vo/v+bh1nFsQ2kJRURS1m7zkydETTk6OWSyXDEdDwjDEaEMQBOzv79Hf6PP2g7dJkoS37t3j2tWrfPq11wj8gE996hWWyyXHx0dkWW7vqcx2mkfjMW+99SY3b92iLEsWiwWqNtJTUjKZTNBXr+G49ri00SwWC4IgsFnnVbmSgBs0VVmSC1sgSbPLmXZBksQ2Lq5WSyAEruexu7NDURTs7O6ys7ODUs4qFeCll14iyzO01kShNcwbDi84uHKF/YN9fM+viy/PF0LfoCQr4u1+8FHsFT5u0v1f/+t/fde///t//+/Z3t7my1/+Mn/pL/2l7/iaf/2v/zV/42/8Df7hP/yHAPyLf/Ev+O3f/m1+5Vd+hX/zb/7NBzvwD4kXj3QLl6ISPH9fqzXWWGONNT5qyPcQ78hdF25BsEgVnncpR37+MBwOV5t7gzV/qqqKJIlJ4gCwXdN2u0UQBnzzjW+yXC7xfZ/NjU2iKMT3/ToX25AkKUmaMhyNGI9G7yLcUtooJF1pJpMpk+mEPMtotdrs7e3VsVisMpVbrTa3bt5kb28fIWw3cDabcXpywnQ6YzwaI4Tg9PSEPM+5deu2JTjaukYPLyyxq8qSSmtOT0+JlzGj2hVdSolSDq7n4ns+RVmSpAl90avl6U0cR9XjtrZDbo+rZb286o5npa1D9+UGezgckecFRVEglQQDm1ubNSEscRyXbreHkIIiLygra8QlhSAIfOIkwXEcJhMrYbZddgUeRI3IumXX8nnP89C6soZwNYlzHIft7W0bURVFKKUo8oIwDPE8lyzLMUYT+D5C2G6/1pr5Ys58Mcd1HVzXw/M9XNdbuV8XRUlRllRVZWerxSWrMZagGyvtz3Mbp/ZOJ+mqKjkfDMjyHEc5uK6Lwea1f+5zn7OGe/W1F3UxwmBwXZetrS2azQbKcawLvKGeAbeSb6VUTY4kOzs7FHmxuqd73S7ffP118qKw3fw4WXXblaPotNsslguy1CowzgcD+scndLtdwFAUBXv7+6RpyqOHj9CVrtUahslkQpqkTCbTes7cdsNFnSl/Mbxga2uLsixxXddmpZclqv4epGm2yqcX0hYXsjSz6pK6q91ut0FQG61ZM76qLGm2WoSBnekPgqA2a7cKhiAI6Pf61nwtzxmPJyzjJVEUcfPmTasQeE5njS873MtM4KsPz7o/KtJtx2uewnpR+N/z9dPpFIB+v/9dn/P7v//7/IN/8A/e9dhf/+t/nd/6rd/6Po/2o8MLR7rBMM8UnstaKrjGGmusscb3xDuJ9zxT3/sFzzmEKSiNYLoUdBrmuSTe5+fngJ2ZviQOQeBTVhWz2ZzDw0MODg5otZqUZcnNGzeIk4Rmo8nm1iatVtsadVXlyr3aGMNysbRy7TqXu9Fo4DgOSikevP2AB28/IM9y5vMZxsDG5gZXr15lMpnYLqfW/KW//JfZ3tq2xBXw/QAlFWVZMR6P+NKXv0SWZaRJQtRo8Oqrn6bVbHLnzh3CKOKL//N/Mp6MMVrjeR5JmlrDrbJckVQhCpSjkFLQ7/dpRA2UcnAcuHPnDkopvvrVr9ZnS1ijsDxjubRyfM+zpHRvd5fxeEwcJwxHQy6GFxRFQRiEpEmC53tEYVgTfbUyd/NcF20M7Vabrc0txpMxo+GIyWRClmW2E17LkIXwaDYaCCHI0ozlYsn54Jxer0ej0URKRVGUpOkEKSUHBwe4rksYWmk5ws6vD4cjZvMZ+skTdnf3kEoyGo34o69+lTwvGA6HBEHAzvYOzWaD2WxGnCS1KgHOzs6tQ7YCMORFwcXFBcvFgiRJiaKIgytXWC4WdjZdVzZyrayYz+dsbGxwcHCAlIrPfvazNBqRLSpgasJvu9lKOrRaTbrdOgcdqLShqkpE3VEW8inxB1twUNJeTzsvXlnTPCkpTQkC8qKgLCuKsuBiMCDLcrSu6uJEzsnJCScnx0ip8DxL+rudDvneHvfu3bMxZMZwdHTMfLGg2WiQ5Rmqlp+PR2Nc1yEMQq5euWpd14Xk5OSYZrPF5tYWP/ETP8GjR4958603qaqKzY1NGo0Goi2YzwMWyyWu49Lr9Snygnk5x2AYnJ9zfHxCVVUcHOyv/vRLn4AkSe2YSBgQhgGnp2cYbDGkLCtc1/vQRPJPOy6J9yz500O6r169+q7H/+k//af8s3/2z973tVprfuEXfoEf+7Efe1+Z+OnpKTs7O+96bGdnh9PT0w920B8BXjja6coCScF4IWkHKa7S6EqiK0U2uW+jD55DyOb5J30Ia6yxxnOEdPj86ouz1EeXt9GmWhEmgJYHZRl8gkf2pwOOMkTOgqQMGc81nSBF6+drHd3vLnGUQpvYziT3JVJYUymt57D8FpOjQ2LPRynFbkuhmwbPnaOqmHJ6CgjKqgAESgginXF7t8D6hNlNvpIgpUbr+cpcrGpoTE/Wzs0TysmMyGiu9esOZnqPbHS2mtkui4L9zpzmDUvePa+grDRloQgCg8rukxWWvPX9gtduerYYUGlaLY+oYXOoT05sd9kYgxSSjY02ruvSbhd4+jHZ6BgEhKbizl6FXgSYujPeFEdUsyNIExytUcbFFyE3tly2G4I0FWhdE2UhUCojCCZ4xdtgXISUaCHIhai75WblpG6MQaUxQTWnKRZEPc1W5GC0jcmSoqLVqshzQVE6SLkkKB/hpNaQK8IgXYnwBUYb0tGQynWQUaOebbcdaRGPkMkctCa5OMMYQzafc3UjAQNKJThuQShKWMJBZ8lWqDDGHke/V1FOX0dLm92dZRmLszPSNMVxHTY2Ntm5G6F1YLv1ZcFyYSPIpJA0GhmdTkAQKFR6jzy3GeQAVCV7nTnqmsT1XNqtOeX0G8RLhyLPybKcNE1oNpv4vo/juqvuN1jZvf1HQ5VnkGZ89rZvFQWlWHXg7Xk32JvPZsT7no/jKDwvq2e2S5u1XixQWch2o8S/4ZCkHqb2KBDMkXJJp2MwbQMCjLHfoVZ7gV58E1GrO5oyJtRjVKlQSnF3X7PX2bUjDWWB68Yox6XsScoyxHFcInlEMXlClmVUVUkeJ7RVSoUmH48oGhNkEKzuH1kWRBTstgoEgsgULJslrudztR+Tj7/29Mv/nBDv77SOBQpy9eGp30dFug8PD61qocafpMv9sz/7s3z961/n937v9z7w539SeOFItzHQ8gvi0meWRXTC3OaLaony2ii//KQP8ZnAFPNP+hDWWGON5wjK733Sh/DMoLSDEMqa9Mh3RK1g148XHcaA50g8r2SaeMyyiMgrLSF8TtbRZaYIgsBu6ssKY0qkUuhKU5Z23hizQAiB7/vs7tr50U4nAulRGGtyJtXKmgxJCc6E6WiANtp2JIWmqoqarNjsW+UotBZ119lgTIW5dIqWgu3UodFu2ecZmM9GGKeNcaBdz5yD4PDwMX4U4fj9VVc88A1OOGM5nRKGIZt7V2k0mmAMaenz4MEDyqoiinz2rr6M41gJ9eUm2wDpcsl0mTGe2W6p7yuqqe1ez+aaqtL0+hGtoEen16NjDFleMBpesFgsyPICVzkor40X2dn4y3OEAa0rmyUNUM+3n4/GTCYJZWml1XlpyDM7n+u4EifwKErBcmkN2qTr0fF7hH5AEPjWTK4oGI5GzMYzwjAgbDZRrovVKVdomZMWGWVVEQ9TGx+2hMWiJpISPM/BKJd4GbNcWpO5OtWKqzf2UH6vNmozzCbnnI+sLHpjs0PYtHP0QkDU2SPLcr7ylT+kKg1CakoBfjPAdzoIN0JenhejyRdLlumSSrQQxkH5fbJKcXR4xGw6s9J6DHt7+xzsd1BBRFmUl418pOuDrjg9O2M8GmMwTCcZUik2+jvs7u3bmevphPv371NVFY1Gg92dHdqdjo1bG4+ZjTPStMJzJX4zwlNNokZAJRokdVe/LIqnKgRpZ64FWOd/5dDzeyxSB+U10EITtloYbVC+b+fphaQXbZGlCcPRiIvxBMeBIAzpdDsox87H52XOaLakKAqyTBPHBWVZopyK3atNGkHbkjtjxQdeVeFXJUVR4JUeWRXQaDZRfg/pWaf25WJBu9P5OH5injm+2zoWefp9XvUng5TyQ+V0X7623W6/i3R/L/zcz/0c//k//2f++3//71y5cuV9n7u7u8vZ2dm7Hjs7O2N3d/f7P+CPCC8c6dYapPLoBorpUjBLA5q+QSiBE+3xvEbPmmzySR/CGmus8RzBbV793k/6AYUjQCgXoQzyPWpyqX7wCeWHhdYgpIfnOfQkTGKHZebgezw36+j2lc+yWMyZzwcs5guyrMDzLMlNk2LVFZRS0mqF3HrlFgjBw5MT5vMBt27dYnt7G8d1V3JfvYw5PH+T2VxRlsZmM+vKdpe1Jd1KKYLAwfOs0ZMxkOUZZWGJt3IU3pMlGTnNVgvP9VgUGSpscHX7Zfo9m5FcliXpoylV7lE5m3h13FhVVaT6gkmcIYMeMtjDbbQBgfEKjodvUWnNpghwGldXkmYDGK3J8pwvfe1bDAYDlsuiPibN/l6fnJC4MlY6Hwf0dnbxW7s4jiKoKpzogPzoCScPH7KxuYnx+gTt61DnS19244TWSGO7z2WlyXXO0eABw2GK47o0ogBjfEbTgiIvUapitFgShAFZZrPLG+4WbuMqjXYL13EBg1tVjJYe33p0iKMWuK1r7Oxs2ig0rSlUhQx9dJoSxwleu4/f7pGaCZOJLVIo5ZGZBikeJ6MFRWHJped5tLdfxms2qWrjumky58lFSVUa+ntbhN1bK1dwigLtpEzi14nj2Lq0y4Btf4dSNZBhD1HLwYuiJNYXXMynLGMbXWZmkni55O23x3VcVolSit5Oh8rZopQhF4sLZtMZ3V6XJg3iJOaPvnnGeDy2WehCEoQBBzdv0Nm6juu6NDdKToaGyXRC2NmmvX2NdqttZ8pjn0W+ZDqv2NzapL31Ep7r2fMS5rjNBbP5nHv37jGejimrEgFEjQZSSHZ2avO+cIu8qkhMC9d1abRa6Mo6uldG43m+VZQ4OcPHc56cZTiqotl06W7vIRyFAyyKCU4jJHAc5HLJ4eAtlosC35eEnRt4zca7u9a127tJEoZPliRpQH/vGjLqsUwznjw55PDwCT/xNz+5SKmPEt9tHRPVh1/DPm4jNWMMP//zP89v/uZv8ju/8zvcvHnze77mR3/0R/lv/+2/8Qu/8Aurx377t3+bH/3RH/1+D/cjwwtHui/xzhm9WSoI185qa6yxxhprrPF9wXWgGxlGS4GsPumj+ejw8ssvobUhSWIePz7k8ePH5EXOcrGojbKsFHx3d49Pv/ZpwihieHHBvXv3KMuKsixxXJfdnR1LuOu53+3tbaQUjEYjwKzkuNb0yuaAl1VFv9lib2+PqBFxMbjg6OgJeZ7T6/fxPJfxeMy9e/fp9Xrcfeku7Va7fg8bo3VycsLDR48Am3t95+4dPNdjPB5Z1/VGRJ7nHB4+4ebNG5RlxaPHj615WFUxHo9ZLBZ0ux0QkqqsmEwmfPWrX+Hhw0errrRtElfMZtOaZAnSJKXb6dBsWid2a6yWrWaxpVIs65nfvChIkgQpJEpJS9Au87ArzXK54OT4hDhOKIoCx3FJs7R2w1aUwnaCi6IgL3JarRZ3795lY2PDRnbVHTUDjCcTHjx4QJrYLOav/OFXeO21T7O5tYWjHNqtFoEf8OTJIWVVorVmb3+Pu3fvcHj4BCEFzUaTdrvFaDRiPp8zn89xHIfXPv1pXMel0poiz4njmEpXRFFEGIRcuXoVpeSKA0ppr/VnPvMa54MBURjheR4b/T5lWdZz9jYXfXAx4Gt//DXrlJ4keK7HZDqhLEvyPLfdXSVptprcvnObwA84Ozvl+OSE4cUFrWEb3/c4Oj5eGVCBjZOSQtJud3AcFyEknufyQz/0Q0wmE1zPrXO/qzp/u2Rra5urV6+xsbnBRn8DIQSz+YwszwijiG63x5WDK8xmM87Pz2i32+zu7uK6Hgjs98JxrKu5UjQimxmvtSZNEhbLJY5KabWatniDHQlI8gTHdVCOwnVcpBQ0m032dvdwXAejDZubW3zjG99AKVnLlN9D7Gqn88t4vCRJOT+38v/ReMS33njjuRiN+TjwcZPun/3Zn+XXf/3X+U//6T/RarVWc9mdTocwDAH4e3/v73FwcMAv/dIvAfD3//7f5y//5b/Mv/pX/4q/+Tf/Jv/hP/wHvvSlL/Fv/+2//cDH/WHxwpJueEq8RzNBsW5erLHGGmusscb3DdeBdmCI8+djFhJsxJNU0JANdmszsNOzU1zXW7kuSyX51CufYndnl6qqKDuWLBltuBgOuRhc0O12CQMbx2S0sV3oyuY8WzdmS8CCIMAYQ1Vasud5Lr1+z0ZZtVq127fh4MoVfM9jPB5TFAWtVotmo4nr2czrsiw5OT3lzTffJF7GABwdPWE2n9HtdNDGsNHfoNVs1d3lqp4HfjqrixBPY6ikRNSy96IoGNXS5HdEkwOQJAkIm5mc5xlZnnN6dooxhjiJ+ebr3ySOY4qiAKwDellVHB8dMZ/PSZKUzc0Nbt++XcdAQVmbukVRSKdju63KsfnYBkOgNUWRr9yphRDoyprDKfl0RrkocmazOV/72tcYjUerSC4pBcfHJyRpSqfdttewLFkslizmCzrtDlprxuMxjqNqV3TbSQfrMK6Udfq+cuUqjuOgq4qyrNBa0261uXr1KkEQEPjBykVdGzvjjBDs7O7SbLVwHMfOgC+X1rm+3SYIAuI4ZjFfWOf8NAXzlLAURWHzsQWo2tFb1bLfOEmYz+fEcYIQktE4Z7lYPr1uAoIgpN1pr5zeL99XKUWj2Vg59hdFQVGWuJ5LGIX0e3183+bA60pz/949jo6OCYKAL3zhR2m3W7TaLXZ2dpBS1GZwkBc5UojVPR6FEY7rIIUEYdDGMJ1OCfyAIAjQWrO1vcVisbCma1KyWCzqODQXKSWu69hYMEewvbPNbDYlDCO+7Qa9/LOFQBuDUjbX28bipU+LEc/PT9gzxcdNun/1V38VgB//8R9/1+O/9mu/xk//9E8D8Pjx43dJ3r/whS/w67/+6/yjf/SP+MVf/EXu3r3Lb/3Wb31iGd3wgpPuNdZYY4011lhjje8GKx9vMpvNSOIYra3JVBD4vPzyy+zv7eF5Hmdnpzx+/MjOYWPdsBeLOZ7r1q7cNr5pd2+X2WzKYj5HIHAche8HXLtmydm9+/fJs5y9vT226ixw5ThIIWh3u2xvbYEQVLWBWb+/UUcjWUMwEJyfnTEcjVYb28tZ1SxNabXahGFIf6NPHMdMJ1NOT09IU9uFBnCUIghCwjBc5SBLKXFchyiKmM6mK3IipcRRCtfzyNLUkmohGA1HGG14+PAhZ6dnK6mxUrbLfuXKFTY2Nzh68oTHjw+pqorJZMyNmzdrov80Sq3Xt5L5l19+GWOg0WiglGQ6nfHmm2+yWCxIsxSnzmR+/Ogxw8aFjZrKMu7dv890OqUqK5Sj8D3PypobDRrNBpOxzSf3PY9Wq0UURZRlyWQyRkhBEieUZWlnnPd2yXIbC9ZsNknTjKvXrhFGIUop8sJmi+dFwfb2Fnt7u1aCrxxbHKiZtxT2vGnlEPg+p2dnHD5+zGAwQCmHz3/+83Q7HRpRxMGVA46OjiirkqqscD2XRhQR+AGOcoiT2MZyCcFgYHO8v/H1bxDHS6RStJ02yTRB60u3dxsz92N/8cfo1vPaw+GQwWDAbDZnc3Oz7jRrprO0zsa2f28QBPi+Z/0KpHVOPz4+4WJ4geu4XFxc0G53EAI836sdxG3WeZamTKZTiqKg027j+V5NuK1BoOe6qyJSGIYYY2g0IrY2t0jSBEcphsMhcVWxHCzw/YBWq4VStnMtsMqTosiptMapH7uENtpGh/k+N27e4PT01Bq5tZr0NzbY3t7m4uLiY/hV+cHHJyEv/174nd/5nW977Cd/8if5yZ/8ye/rs54lXmjSrQ1Ml4IKCF/oM7HGGmusscYaHwxFCbNU4D2H66g2hvF4zPngnLK0pNT3fcIootlsPpWOIyxJrf+9LEtGo5HtmNdmUo7jEAQBzWaTTreL0bbj2W5ZM6FKazqdDnme1znSkjzPGA1HPHz4iEazQbfbRUrJZDwhakQ1mbfHaow1rtrZ3WU0GjOZjHEch2ajgTa18ZjRgMFzPWJilJIkSYKp3bYv/xZ49zisEBCFIQcHB8znc/I8rwsSLaIoZDqd1sZmtiiR5xllWTIcDm0m+WVzXMDW5hYHBwc4jmNJk6PqTG87iy5t0LSdO5aCRhThuVb+LJXEc+08oOM4NjM7c2g0NjAYFosFh4ePqeo4NKM1aVobrjkKKewxh2HEwcE+W1tbjEYjhsMRgR8QhhE3btwAAaPhiDhe1t3ygjixXWdbaHCYzxdsb2+xtbVlj0lYt/WqKnGUY7vBQmIwlIX1AZDGdqLLoiBJU54cHhLHMY8ePWaxWFBV5cpMT0plu7llaTvCUoIDYRCwf3CA6zgMBhccHR+RJimj8ZggDJnP5sTxEq0NSlkVgtbvMOMTkm6vZ6XZjiJNU46PT/jKV79is9M3N+h2e3Q6HYzRTGczOu02fuAjC0lZBnXEVk2+pFipExqNxrd1iyutSZKUx4eHHB8fE/g+k0aDXq+3eq4QAsdx6fd61ghPPpXi2660S14U+EHAdDKhLCsaDUVZFDjKIc3SVdZ8o9lc+SU8zUynnmMXq2LO9vY2xhjCIEBrQ17kK+PANd4fHzfpfl7wHC6RfzJcEu5SW1mcXmtK1lhjjTXWWOP7QlHCJBY4AtznMMK8LEsGgwFlLYkVWHls4AfMZjOblewooihka3ubIAzJs8zOZ7suSiouLaSlkvR7fcLXQu7UBHexWDCfzeh0uoRhSKvVIl7GKxJVFiWPHj1kNpsynU0ZnJ/TaDYBeOnuS2xtbta52gYhbJf64OAA3/c5PzurN8eSLM+YTqYIBPfu3ScIbWyVoy4vmiBJE6o6Mmw2m/HlL3+ZW7dv13nLOa7jcvfuXfb29ijKgqosaTSaOI7D177+NZ4cHtbycSjKkrzIaUQNyrJcOWlHYcT1G9dXndT+xgYvv/SS7YDmOefn57YD3Wjge15Ngqxh3aUs/FJOfnxywmw2IwwCPve5z6G14VvfeoOLwYUtIqQZjuPQ7tjosxvXb9BsNljUOdndbo8wDNnb20fW5nNKKbrdLlpXSCGZzVyqSiOlIM8LBoNzJtMJ8XKJ5/lWcl4TUGMMad1Zl0LguA6tZouiyJlMp5bg1YWZyXjC6998ndFwiMHO3Ruja1G0qOeWJUWRM51MGV4MieMlURTR729w/do1hBC0253VPZTnGY8ePqzl7fadXNcjiiIrLb+80kKws7OD41p39KIoefvtt1dFpfPBgPligTGGZsteX8dxGJz//9u79yC7rvrA99+1n+d9+t2t1suSbAs/wLItW4OdG+wJE8NQdUNliqRqIIUJ44lThpCYG2OHTMzr4nBNgoNJbEhuEeIiBTNxICmIE8C+xgacAQwIGywb2ZIldatf6u7z3u91/9inT0t+Sq1uHXX371PVmD7d5/Rv9zrqvX97rfX7pb3Yh4aG2LJlK8pwAMUlr7uEvXv30tvbS7a99B5oV6JPCIKAqem0h7lhGLRa6VaGVssjb5qdJcFKqeMSbnVcQg4mFg5QyOfJZbNoDXEc0Wg0qdcbTExMMDU1ydzcPI7r8JrXvCatcu+n2w+GhocotpfxG6ZJ7AfoJK2Eb5omEOMtrNQQr0qS7qVZd0m3YUASB8z7iigx0pZhQBwZRM0JQr02N3crt9rtEIQQa0hYP9ztEFZM1LLQ8QhaJSQv2BuYxKffbmW1MwzQSYAfxFRaDpYRk3MionjtnUeTOCFn1dg4YKITA2WkFcbLmRZmNMPcZJNSsUQmm6Foay7a0c9suzr0wIBNWD9EYlqdBEInCWaS4BKniWvzGH5tjkp8DMolco5DRJVGtc58kO5t7c35RANWu8J5gmHUsWyLgtMgao4RhE7aFqgzeaDpyUYYfQrf89FaE1kxGTSWBc1WCx3XKdgeruMwNDSMaZkUnDr1ekIYhChD06o8z8Gnp+nv6ydJYoaGhzENg6ILuBCGEY5VI0kSNg1YaM+i0bDaS8Ohp5RQKvVybDah2WiglKK3Nw/+JPVZP00Oo4jenKY3l8XzFUlrHC+yyRm9RKHd6S+dJAlJHOElCYnWjB05wvj4ODbgqjy2nsUwDTYPO9RmLBKd3oTIZLL09Rbo7eslnzexzAgjbKHCGkHtEIFRQmswwzniMKQ518RVaTtEBx8VHqMnG6IzYBgmzWaLen0GFfrkcmVsbZN4WUJfEcUR1WPHyDAPQHPuOfDztNoz5Ciwe3rwPJ/ZY8ew42MMlpJ20ucQxwkajWPbZI0KfjWkWqtROXaMcqZFT86kv7/I6ICBGc2glKLgRGwdcVGh0156nraba+fPlMtZyqUsWeXgeelfM9MwyFs1wtphlFJEjSpDPQmuSlMCQylsO8GMZyg6it6sieN4ONqjRZNW5SATz8/R19cHaOLWMTYOWoyOFjDDacJapf0uTKuFh0FA3Jii6Fq4gxZgEwQBXvV5rCSPtbD0PklXYRimufhePm4VRxJHqCDEVGBbFlqBHwTUGzXi1jRWMk9vPkLhM3HwJ+k2jzjCNC16sucRGT1g2SRxxPTEBGEYkcvnyGQyGMpgfmKCVmWOsD60En9KzriXO4/p5PTPYZJ0L826S7qVgppvo4FSpomlEqLYQGuTOKgSG2uzcqGyW90OQQixhsT+XLdDWDFx4KL1IDqJ0WrxAkVrqPmZLkZ2dlAKgiihFbmYRkTJ9YiTtXke1VrTk1cM9jjEcYxpmmRzOTKuQRQ1CZtNIjvEdMtoDRuHC/SX037EhXyeOJhHL/S41qSJWbXKsZkZ/CAgidNlv624RuzPUi6X8Rs1VBxh6ZjeQo6B8ijFbDr7HMdxeymugWO0iL1ZYu2263KpdsztXtdBFR2mY5GxbYp9GSzLBDL4QYDXsnAzGXrKDoZh0F86hzAMGRsfo9loYhgJigb1eQ9lKOYND8d1cWybOI6J4xjtOigUGdunnNO4ZrrP17YdRjaUKJfKbBktdwq1WZZFFMdUZg4RRRFKKYrFIvl8nqxt4Pk+UdQiaMZox8Y0LCBNyBKdEEcxzVaL6twYObfdrku10ME8mBZ5J2Lrxh6UUmQyLtlsHs9rYtEg9nzCJEGHLWx8/EaTmeY0URwT+B5hGNGqmoStPpRKZ/6jMEr3MWdckiShGVWwDR/L1ehgntpsi3pWp1+PE4hquKaHaZk0KuPMT6fFyLLZLIViEdf0wQognKdcAMfOUCgUGRwc6Pw8y7Yxkhpz09NMTk0ShREDvQ6FfIHBwV6yWYWOKmjA0JrR4TyOMUgcx+n7JwiYn5sjCAMKeZtMJiHpz9BopKs1DMOEsIJXn0x7pMc+G4cKuIaXVvZGYxoG2ZwiY3oUCkVsW5FzbOqWydTUFBO1SabG0x71g0NDbBwukLVDYn+Wlt8urNehyNoBmYyBmc/gOE5aFM/0CBpNYsvC97zOv7e0SKHZKQq3IE4SjIW2cu0bBDYRWTug4EborCZO0vc/OkgL/tkAMTMTz2KyIV3aPj/HsZljJHFMfT6dxV8oomertXNue7nzWDM4/dRvufp0rzfrLukOExsLm/4C2FbaTDQx0jt7bs9OMmugv+hLafz8iW6HIIRYQzL9r+12CCvGb4Bh2RhWuicS0i1J1YYifpmquKvBwYMH+ehHP8pDDz3ExMQEo6OjvOMd7+CDH/wgjnPyfTOjWNGICriWopzXGMpGx2vwPNpOXn2zxkT9GF6rRalUZkPfCMXhEYIgwPc97J5erFIJgCCYIlER5d4eMpkMcZzgeR6GkS7xPvj8AX7+1PPpHl+9WAXcMAIcJ6JQMPA8D60TtmwZYeuFl2JZJpuLFzA5Ocn3f/D9tLK4ZbNp54VY+QJOxiWKYkzTaC+Bh2ajQSWawgvTva65XI7R0VEMx8F2bFzA9TwymQy5XP64omsJm4qvSZczt5qEQUClVsPzfZ6f9vC8eXK5XLovuKeHYrGA67pUKib7x6ZoNmKUgi1bh9g+sIt8Tw8Alh+kVc39gNr8PMcaM8zMzJDJZNhe3szAwBbiOCKqVpmdmqIyD/l8jv6BAWzLxm0X7gKN43l8+4dHadS9dnVzi9HzRsm7eaaOjRM6BWzbglyORpLw5LNPUq8do6enh40bR2l5LrVqlUazSRxH+L7f3vecYJkWff0+ruPQbCXYVrp03LJjyqUyRyarzM/VSLRuzwjHzHgeWzYPUSqXaDCPZ5ZoNtKie9PT02it2LFjlA0j56cJZ63GM2NHCEMYGCzx+otfT6lcppikrc/CMKTV8hifPMS+A2MkScymTaMMDpxLbmgI10krh3feozphuOhhGCa2bRGGEU8eeJhjxzwyrs/wSC+VeZ/Jyfn2+yShf8CgvHEjBTdPYkT4jWkm6xGe18LzfQylGBnpIbB7yQ5sJFcskfgeM9PP8eTBsU7lfcsMuSx3frqloVQkiiKOHD7M1FSznVhbbNmymenqDOf0bqVQKuG6mXZV9CC9yaI145Wx9jYJxfDIMNVKhVK5TG+pB9O0SHSCV68ThREaTX9vH0oZ6fhVq0we/BljRxv4XkAcp8vrj29r5ziw2QvRScDU1Gy7jgEYKsQ0zXSVgU7rGez5j687M39fVthLnccansKLl+cctl5nq0/Huku6QVF0Y2xrDW4+E0IIseyOrwFSdFdvM+p9+/aRJAmf/exnOffcc3nyySe54YYbaDQafPKTnzzp19HKxlKacj5tvbkW6fZFexTHGIZi5/k78XyPnp4eesplsrkchjLaxZnSi/8gCPnpT3+KbVvs2bMHrTWNZoMnn3iSRrNBrVql2WwRtQuLnfDzdFrIaXZuFkiLhC0UqVJKkclm2LhpI7vCXXitFlqny51brSaGadCoN/A8j3q9RqPRJIoiRjaMUC6VGRsfY25ujqMTRxno7+9URC8WiyhlkMlk2/20077huVyO/JY8ylDoJGF6ZobvPPoo8/PzaA2VShXTTH92vV4CNEEYdtqeGcpg+/bt7WJb6Qy/ZZn4vsbzWhhmmrCHYcimTZvIZDLp0mvboVzuodls8swzz5AkmuTppzln61Z27DgXy1Kg0l7ev/Z//ho/+MH3OXjwIBr4wQ9/SBSGhGHEhg0j9Pf343s+zz33LJMTk2id0Go1SXTCZZdehmmZPL3vaQ4fPtyZlbXMtDBbNpPFdR1c16Veb6T7gI20N7vjOBimiY4ikkTj+wEHDxzg2MwxXvvai8lms2Qyg1QqFebm51EKbNtu740voJTC7rW5+OKLmJubZ3h4iEI+LfyFaaEMA8dxcRyHLVu2MD8/T7PVxHVdfN9jbGwM13Xp7+vHdR2USlu6ZbO5dCm2BsvSTE2m/acb9Tq1Wp3e3l5c1yVOWoCm1Wxx5PARcrksvu+jod33O+wk8oahiMIQz/NoNpvtKucz6f789vtXKejt7aVYLIBOX7fZbHYKDGodcvToBAMD/RQKRRwnfU+YVrqk3g8CxsbGmJiYIJvNsnXrOaAhm80xPzfXbp+XFsSbm5/nF7/4BYV8nte97nXk82ltg2w2y+DgAI1mo32TA7SO278OnR5bGHHk8JH0/WkYaXu3JF1BsZBwm6aJaa3dtKjhKRq+Imef/jlMlpcvzdp9d70MpUNsU5YHCiGEeHXHJ9w9ubTX8mr1pje9iTe96U2dz7dv387TTz/NPffcc0pJN2gKmRhDrd1LiIWCYl6rRaVaxXXT5cXZTLbdB9oAFEqZ7e+PqVYrTE5O4rouzz9/iJ6eHsbGxjh69CgoiMIwvVjlBTn3cfu9Fz7RScLc3DyB72O0W4IZ7dnlI7U6SsHExASu61CpVpmbnSMIfOI4wc24aYX1bNr2q5DPMzU1xbFjx5iZmUkLhhkmvb09nHfe+WnrJsNgbnaWOE4YGOgnm82i2j27fd+n2Wp1inNBWhROtWfvF6piJ3FafT3jZnAdF62Tzmx+HCc0my2CIK3incvnGTbMTiG2dttqDEPR29cHKBqNOqZlMjY2zuDQEH29vRjtKbtcLstll11Os9mi2WpSq9WIo4g4Tjh2bBbTtKg36kxOTqYV23Vaid6yLAqFfLqcvr8Pz2sxNzeHaVq4GZfBwUGGhobSQmiWTb1Rp1atpbPwUcyGDRtoNBo0Gw3ipP26iabRaHDkyBibN29CtW8MzM3PUygUKZXSQm4L1b5N02DHuedSmZ9vJ7tp/3FF2uJKGekNiN7eXs477zxqtWqacO7fz8z0TJro9vUxumEDF150EY5tA0anbVwQBARB0OkLHrWrn2cyWcIwSvdZR2lROMdJl1svzLBDWvXbMAwazSamaXLgwAHiJCGJYyqVCoah0Dp9nzquS6GQb/doBzfjsnHjRoIgxG8v2fd8j1w+32mbp0n70TeaTWZmZpg4OsH8fIW5uXm2bdtOLpfFNAskOuHo0aPYVlrsrN6oU61U8TyPludhO05apby95aJcKtNsNAnCAN/306KHccRCyzvbSQsbKkN1Kp4vLGtHGTiOg7VGk+6FhDvvamxD9nR3y9p8d70CtYqXBgohhDhz9AsSbtuC9qrKNaNSqbQLIr003/fx/cU92tVqFUOHGCp7JsLrmrQYmmbsyBgtr0Xg+xSKxfYMbdSe+WzPRAMHDh5kfGycIAwIwoD//b//Hcuy0yJN7ZndQqHA0fGj1Os1ojhu38DRnQrjqt2v2DBUpwdx1N47bVk2hqGwTJMojqjMV0iSdH+z7/koQzE0OEhfX1/aVsxMW0HNzc4xPn6URr1OGASdZbeRjpicnOTYsVn27v1JmqTW6wCcf/55XHHFlZ0tB0/ve5rAT9/4SkG5XGLjxo0MDQ9TrVSZmppi48aN2I5NT7lMy/NoeS0SnVauTvtexyRJTKUyj+2kfZ5HR0fTdmrt2XANGKZJJpPhwgsv4LnnDjA9Pc3U1BTf/MY32bRpE69//euxLBOt0xnO884/j4mjaeXqlucRRT7z83NpL3E4YVYWDa1mq9P3/Jxt29i4cVP6+7XTxF/rdDxs28ayLDYYI/jtCtitVgvP85ienibwfeIgaN8jSWdM6406SZLQ21um3miQcV0q8/NUqhUOPX+Ic887t50gK3LZHNlMlmazSbPVotFIe20XS0Us0+rsmd20aSNHJ0x+8Yv9aVu2MB0H/+hRKvPzhGHIueeeR7FYwLLsTuX5dLDS8CzLpFgs0tvbS76So1KpkGhNrVbHdUPq9TpJp5AZaeKvFM1GE8uyqLdv8liWRbmnh4suuphqtUL/wEC7B71FpVLpbMcoFov09rnMzc4yMzNDuVSiVCx2Zr/rjQYHDxzg5089RRLHBEGQbotQimef3c9FF11EqVSmv6+fmZkZpqYmMU2TRqNJX18fjuOkx5Ak9PT0oDUUSyU0kMlk8AOfjJshn88RtrsO1Gs18vk8xWIR23Z49tlnmZqewmu12lsF0pUe5XLPSv5Z6YqWr/DCNOHOZ/SynMMk6V6adZd0CyGEEK9Ga6g1FQmLCfdas3//fu6+++5XnOW+4447+PCHP3zCY//3/7hppUPrun1PPYXn+YyPj6F1uqy4r68fNAwODpDP58lkssRJmjQ8f/B55ubaBZh0WvQpCQLcjMu2redw0UUX4TgOc3NzPHfgAAeeO0AQBu0EB0rlMlu3bCWTSXs7u66DJm0BZppmJzG324mwYSjq9XSWNwjS19myZQsbN27ENE1m5+Z44qdPMDc3S73ewDBUurTXMPBaHrpdzziNPySKW8TtktfPPvcc55xzDiMjGzrLcU0zXV7tZjLsuvRSenp6sC0Lr9Vi0+ZNbNm8Gdd1AUXWa/HTn/6UIAg499zzcByXTMbFzQyBUjSbzXairbEsu9PXnChN7Axl0D8wQD5fYN++fYyPjzM7O8szzzzDkSNH0hn6888HrcnncuzcuZN8PsfMzAyzc3M06g2SKAZ0Oguv0kTSbP8uf/Ljn7Bhw4b2jZA8hpH+foMgoFarMTs7S19fL319/e3l9276ezANwiikWqkQx0mneJ3WYFomO88/n02bN5PP5Sj7PnOzs8zOzRFHEWNjY/zkJz/hiiuvYNs552BZdjuRNalOVdn/7H4cx2Hn+Tvp7+9vzyanb6dcLoebcVHV41tgp/FWKlUmJyewnc04iW7PyEcUikVazXTZvOu69PakNQYK+Xy6hLzd4iwdWwviiONKRqZL5wO/0zs8CEN2bN/Oueedx+DAAJDOoDcaDRqNJpVqBZ1ocrkstu1Qq9WZn59jenoapQzM9pYGQymefOIJnn/+efwgaDeXb9900Zrx8aNs276dUqmMaRq4jkOtXkehKJdL9PT20tduTWaaJnEUUa83qFarBH5AGIYMDAxwztZz2u/ZNM5arQZK4TouhmlQrVaYnZ1lYU2+ZaUrAYrFwor8PemWKIZWoChm0oR7uUjSvTSronzcwYMHefe73822bdvIZrPs2LGD22+/vVPIQQghhFhOYQyRXh0J96233tq5CHq5j3379p3wnLGxMd70pjfxtre9jRtuuOFlX/u2226jUql0Pg4fXrut4o43PT3DfGWeOE5IEk0YhtQbder1GnNzcwRBQBSlS9DTZcIa13XTvbnt60nTNBgeHmb79u1ks2mSkM8X6O/ro6e3h2KhiGmme6rP3XEuW7ZuYce557Jt2zb6+vro6+1LX7O9nzhd7p7ur3Ucl3JPmXw+j2kYZLIZcvk8oIjjmFo1TR6rtVpayTzRbNiwgUtedwlDQ4OYltVpy6S1XuwnDsRRzHMHDjA7O8vExARJEmO2k5L+vn5cx037LHseShn09fWlS31NE6XoVFi3bZswDNPXb/d6HhwYpL+vn1Kp1ElYtYZa5/fqQ3tWNZvNMjQ8lO4tb/fmrtdrHDlyhH//93/nqX378Hw/jc80cRwHpz2LvlBoTLUT7oXPq9UKY+Nj7N+/n2qt2pkEj+O0H/vhw4c4fPgwk5NT6fguVE5PNFG7h7Nu73lOtxcYOI5NT08PQ8PD5HM5lGFgWTaVajVtlxUnJHHak/3RRx/lf3//+533ThhGzMzMMDc3x9TUVFo5vtlM90OTzq7PHjtGq9lCGUZ6A8ZIV0MAeF4L30+XUy9UlI/jJE1Ms1kyGRfDNGm1PFotD8dx6Onpoa+3N11KPzjI1q1bKBSL6ey6Uu2fY2CZVnvWPf3dDg0N0dvTk/5SUSRaU280mJqaYnpqGttOZ7xrtSqNZto7e36+Qr1eZ//+/Rw9epRjx2apVKrE7TLjlp2ujjDb/bpz+RwZ1+283w3DwLbtdH96o4ki3SZgmiZJnNDyPPzAp9VsUalU8DwPr+WdkBSGYcjs7Cyzs7Od1mTlcg+lUim96WAY9A/0s2XLFjZv2bKSf1bOuCiGnLO8CTfwquebk/lYj87yS4nUchV/Adp39xK0XiwkkP7RN9BRiyRcoz1YDblBIYRYPknY6HYIK0ZHBjqxKGZiLJPOjBPQrnB7dnn/+9/P9ddf/4rfs3379s7/Hx8f59prr+Wqq67ic5/73Cs+z3Xd9gzmcdbBeXTDcFroq7eU7qf2g4BsJksxZ1MqOvSUMhgqLQyWyxhsHh1EJwmVgSKVSoUwCunv7ePCi8+jWHBJogZJnOC1ahC3sFVEaIQUchaua9Hfm6OYs7EISAyNQYAX+DRqAdlsJi1qFSVU5iaJ/TqZQp6BvjJbNg1x5PDhdEacgCioUavVmJ46BLpF1k4vkA1TsXXzCAP9fQz05Xn2ueeYPDqBMhT5fA7f8/F9CKMIpTRjh/YzNz1OlMSYhkEpb9Pb00Nvbx9xUCPwEubm5kjihIyr6StliSJNpVphZmYG24hxcy7FvIXCIw7SNkGm0hRyFmHoE0cNglgxOzvLz37+cxzL5tLLLsXQeWzHwjRg43AfvPZ8nvxpQL3RIEnSAlmG9nGtBMeMsYyQ/t48GQf6yjkqtSq1apVqrUocxe0l+2BbNgBR1GD+WIvqbJneYlq0rFZvsP+ZJ5ibmyOby1KZg+cPxOTyOVrNVnpzwzQJ/ID+3hyFrEkYRfT09DA4MEBPby/FrIVOWkRBTLVaozo7Qc5VJ/z9gJjnn32KctFlZHiYw4cPMzUxThw0sG2L+dkJpvIOrUYBQxlMz0ynv08zoqfoEkUmURQStWfym/VZxo+EWCoApQjDkPn5eaLQx3USsplM2qouqBIZIflsie3nbMC2HbK5DE57pUGcxExOTTF3bA7P88hkMwwPjxDHEePj44RBSKsxT6uZVh9Pooh9+/Zx4ODz5HJZesplXBtwDWrzU1SrNVzboJA1aTZrHKvN0KhMYzkOoe+TzyhQLsVikeGhIaJ4BIDt284hX3DRsUccBszOjKPDJjpuUJlrQOJhGVvJZQxc2+bY1ARRElObn6LlebgZF+IsXnMWy7Q5dOh5Dh58nmariW3bOGZMb28vvSWXzaP96e8ljLlw5zb6+wfIZjNr5tymIwPLsMg48bKfw2Sme2lWRdK9fMVfwDRAJ02ScPExHRvo2Mav/gLf95Yr7LOKUZjtdghCiDXEn1u9Vbxfje9nMLkAMwlflECehTk3g4ODDA4OntT3jo2Nce2113L55Zfz+c9/fkn9UtfDefTcUUhiE9MqthPeiDAIsWwP25ohqVXQysBIYjJJRH82AA0DeYXf62JZedyMjeUdxPMVfuDjtVq0PA/TNNkyGJEkCxXDQ4zWs0SVaeJ2oalWrU6j2SDJ5SCbbS+ljTG8GUZKTWzHpy+vMIw6zkgCJNDcTxDYqMBnON8gv9lCaxN0WvisaE5g+BUyiWZzn8dwPgeAaRkEvkmcZIjCMK34rDXgg168wM7lWhTyFSyjQUJCZM5jWIqcDggr1fR3VK+T0wHZPGQzWazAR8cWYWuhiFY6sx7HMWgIoggaNTb3eoBHUn+GKMqizXTPPGiG8xrz/Dz1WlrhXSmFbdn09DoUzUlUpDB0RDanIQeDeU00kKVaDYmisDObbbf7i2ud7n0u2VOE1RbaMiEI2VBqMFK0KZaymEaCZoLWbIvID/D9DMVSkZJp8drtWZLExbTS5eqOHaDUFFHtGKHWNBpN5mZn2TEKOnHb9bMXKRQ5PUZcnSOnK2zu94l7TAylcNwGmfgwwbzGMi1Mv8pANqbHjtrF1gxQ2XRFwEIFcaOF4R/ANEyMOKY/G0EmXbZt2wGmYeK4TTJuhGV6WNrESmzMlkGSFhLA1DBSSBjMGiRJWofAMGZQSpHfqGg2QpJknOrR9LFWs4Vq1dk2rLHMFtkc5IBSwSJ0Q8pOkC51z0X4viaKFEqFmEbcLrpmpdsL7ICMNUWmkMVxHdzkCHFNgU5XFgzk5skrj6QnbRenVAMnPIRqVomUQdH0SVRMbihCJyYQ4bpzzI0dQycJcbPJhnJAUkwwTTC9A+j6DJFSFMw6m/oCtE4ompNYfo0oVEQr/+fljPD9DIa+AB2Gnf36sDznMOnTvTSrIul+Ka9W/AVeugBMnIAychj2YsswZaTFS9zSebi5s/CKahk0f7Hv1b9JCCFOktv7mm6HsGLcpoFpZ1CWg/GC7pJKr96bDWNjY1xzzTVs3bqVT37yk0xPT3e+NjIyctKvsx7Oo55KqzQvtL2am5+j4deI/ZisytKb6cUwDJr1BoePHqZWS+9ADA0O4nnpfuxskKVSSWd+G/UGC0XTbNuhp6dMNp9nZmaaJE5oJDYXDm0jk8kS+AE/f/J/MzU1i2lUKJXKbNu+jSRJGD9WpVJpkc3a1LVDGPhMTdZJ0BTzmr7+LJlMEW31M+dP0Wg0iKOIfLEItSLDuRGcrEPOicnqBNuyiZKYZr3BkbEjeC2PIEqXK3stjziKO0mj6yRs3tLDOVu3AVCLjzA3O4sx4zO6sR9DZfE8i5bXor+vH6NYRjkOWhloO+21nMRpRfOQCNM0mGvMcnC8yrFjflpR2jDZvGWEvnI/pmF09jD351o0Dx8iqtUxTIvN27aSy+ZwnLQw2cKy4SROyLQLzB2Y/DkTE2n1css02bJlA5aTFoyrVquQ7UdnyuQzBQzHoD9/bntpc7qXfnpmhonJw8zNzlIuu1yy5UJc1yWTJOkSbMvsVKKPo5goijh86Hn27t1HFEUoFJZtUSgUiaKwvfcecvkCfZt2Mu95PHV4hmbdQ2uN7Vj09pTo1UUa9TqQMDcfYShFy4twXZOenjIKA8/3qFar6fL9JEHj8eK5Q4XtRAwPjdDX10sQOZQLPdhuBm0aOLksRvoPN/12nY50kiSd6vwAdjkmnJnmu9/5LmEUdgoAQnpDptyT5aILzyfbP4jCIPE94mSeiaMThEHAzLEWvh9hWgauY5HL5YjbldCV8lFKMTKc4aKLd5DpSa/r4yRmbnqKJ589iOcHJEn6d9dQimzeYldpiMAPabVahGGQrjQoFAFNtVrj8JEjVKtVtE7aS9TTFQ2+VSR2+zEti8kKPHdgEjfj0rdpCz19Q+nvY41wmwbKevF5bDnOYTLTvTSrMuk+meIv8PIFYNIqocddLLTbOCgri2GvSMjdlzjdjkAIsYYYdr7bIawYZdE+TyheeG2g1OrtgPHNb36T/fv3s3//fjZt2nTC17Q+hePSrPnz6HxtEsd1scJ0X++BQxM4tkOiE1pek0yuhyD0OHxojPn5Kp7vY5omldph4iRpJzNQq9Y6+5oBUBorjOgbKjA8soWWr5menmZ8cp6NW0LcbA9eGHJ4/Bi+F4GKaIVVDHuSKIqp1RsEfoIf+VTr4+l+6Fq6B7haC4lx2bixTCabxc0FKDNNcLLZLG6uF8PJg2VRyLvEcdoDudVqEsUmpZ4hevstfN8jCAKmp6eZmTmWVszW4AUBanyWzVvPx7IsWj60grQn8tjR2XSSQ0E+lyNMLKr1gHzBARKcBMCg0WhSq9XTPcO2TctLUGaWWDsYhsOx+SaY09iZEsVCEbtdUMFyLXr6NtA/mO4Nz+Vzab9xc3EverrlId3nHMYBx+ab1FvpTYNcNkOu1M/AwAC1apW+AR/LtjGdHJlcD7ZjY7Vfa6FnuZMJKfUGzM63KPYMkcn3pi2n2lXmlaGgXQAMFVOpzfLTn+2n2kh7XaM0TgJ9AyW2bdxIGKb7u3O5LJl8D/P1SSrVgCBI0r3wKAw7T67QhxdApVql3kzjj2PQCpSVZ3BggGwux/MHD3LgwEGi6Ljlw4slBVAK/CjBmm+yZftOyuUy2UwG2tXJDSu9obSw310n6QZ706JdmyA9PsuMKZQ0TV8ThsdVOVegDEUmVETaxnLSPdKRtmi25vBDg2YrIYhMgtggn8nTPzhCb28PBw8epNFKOoXu9PQ8w7NNegc2prUGopCGp6m3EoIw3VOPBsOAiJDpY/W0ano13aduOUWKPYMYhok2sjR+8TxBbNDfN8DmzZsZHBpiZnqaRqNJK1BUZ2apVJuE2sI1shTKg5hWofO7WAte7jy2HOcwSbqXpqtJ96233sonPvGJV/yep556ite8ZnFG5WSLv0BaAObmm2/ufF6tVvm7z/3p6QUthBBCrELXX3/9q+79Fqkf/vBxIL04DMO057Djuuw8fyfDI8NEcUyz0aRWr4NSDPQPYNsWrVaL+UoFz2uhtSaKI47vyp22cLK46MKLKBQKVKsVpqenqTfqHDx4ENd1mZmZxvf8Tn/pVrPF888/ny5Fh+OWfKezkkk74/J9n4nJCTIZl97eXizTRLkOxVKJ4eFhFIpMJoNpmti2nc5ga8hksmjANE1q9RpDg0MMDAxgWiaHDx3mO995tF1QLqFWqzI2NkYul0cpRZJoWl6LY8dmOlXeG/UGrZbH4OAAxWIJx3XSVk5emszPzc+Ry2axLJuhoSGy2SyWZeF5HkEQUm802P+L/fT197Fx40bQ6bGlLaHctPI3pDOz7RZfLCTCpHUIHMchCMO0CFucVkdPkgTXdSmOjhLHSbtyt5kWXmsXdQvDMF3B0GrSbDXxPI9isUA+XyCJk7TgXLsfNjr9b5Ik1Oo1ntr3FF7rxK0VjuNgGIr+gX4c2yGK0x7pBw4c4Pnnn2/3xk5j3rJ1KxdeeCG5bNqO79jsbNrrPNHpfmTHYXTDKIODgxSKBTZu3Egul+fJnz2ZtkY7jjIWfhcO/f19bBgZacdidlYFBGGAbdkYpMeeJGkRtvT5qjPrG0URrVaLck+ZaqXS6QFuGArTstJK8L29KEMRJzG1Wp0oCsnlc8RxRLFYwAkcLrzgAkY2bMD3febn55mcnOoU8UuShGd+8QzZXBbXcWk06hw+dJhSqV0jIYzQJNDuyz0/X2FkZIShoSEKhTzDIyPtfu+KcrnMRRdfxPzcPOeee26nL3tPuUytVmNqapo4jsm4GXp6ejhna7pqYp3mgUsiSffSdDXpXsniL/AyBWCEEEIIIV5Bs9k4IRFRhiJjGGzYsCHtnx1FJHHMxtGNNJsNBoeGqNfruG4G07SIooh6vY7tODQbjXQPM5DN5RgZHiGfz+O6bvq8RoOjR4/ieS2eP/Q8hw8fTosdaTrTlnGcdJZ5q87/Gi8okKQJ/ICZmRlM06S3t49sLksulyObyRAnSTux0MRJTBInpJOKaa/mI0eO0PI8MpkMAwP9ZDIZNm4cxbYd4sRr92FOaDSahGFIsVggCIL2DQZIEk0QhCSJJl/IEycJtmNTyKcJOm6mvQfaIUnSytSlUimNL5sjCAPm5+ao1Wppz3CVtstKe0XXCIKQQr7Q6Q2dzgAnmOaJCYBhpL2+87l8J9kuFAo0m03m5+Y69Q9cd6H9mtH+/SWEYcDc3DxB4NNqtZiZmWn3Gp+lp6dMoVBM+5er9L3h+x6VSpWxsSMcHT9KkiTtCuAL8eh0i8H0DIVCgWwuu3ijpd0X3bRMRkc38pqdr6FYKBIEPpZlpe+Z9s2VYrFINpOlUMinNx5ME22YbN+xnecOPJcul08njdOK6raNYRgMDQ8zMrIB27YxDLPTPk0pRRSGRGGEYRrH3xciiiN0klYGTxNsTa1ao6+3D9uyCYK0F71ONJZl0tPbi2M7ndUduVyOwcH034NjO0xMTNDfVySTSYsSxnHc+XGmaXTGs9Fo8MzTz2DbFuVyOd2Dn6Q3R9yM215Kr9v/PpsEgc/OnTtxM5l0BUJ75YHjOAwODpLP58nlsp3VEEqRdg/oT6hWq8zNT5LP5TAtq30jQndm78Urk6R7abqadJ/p4i9CCCGEEK+mv7+fSqVCsxkCGsd2uOR1l7BhwwigSJKk3dYqR7VaIQxCMpkMW7dspdVq0tvbC8D0zAyHDh0ijiKGhoYYHd3YbveU9qvOZrNs3bqVrVu3UqvV8FotPM/jxQtAFxPufKFAX28vYRhRrVZotbx2C6s0cXQzGUZHN9I/0I9lmsRxQhTFzM4ew/N94iimVq9hGgYjIxsol0vYlk2lUqVWq5LECRs3bqSoFPl8nvPPP5+f/exJNOC4Lq95TZroOI7DOedETE1N89hjjxFFIZZts2XzZrZs3YrruO1Z28U917bt0NfXRxRHjIyM4LoO2VyWQqFAGIVkM1mi6BDKMOjv7+/07TYti+G+PjLZDLZlsZBExXGcJroYi23CDIXrZujr78O2bYaHh+np7SHjZqg36kxMTJLP51GG6iSntPuG1xsNnnjiiU4shmHgeR7PHThAFEXs2JHOnGqtefChh6jMpzO/C8u6lWGQzWYplcps3bqFQ4cOU6vV+NnPf0bGdRkeHmF6ZrrdQ1uTyWQYHBrkiiuvIJfNtRN5n8mpKdCajaMbsW2L7du3k8lmKeTz2LbdOf58LsdA/wDNRoMk0eTyuTTpHRhg6znnUMgXyGQz7ZsiCe1lEmlv+eefZ2pqiky7FW9/Xz+mmd7I8X2PHz7+OGNjY1imhe3Y9PX2ct5557J582biOGZ8fJxKpUpfby+O67Qrp89Rq9UplUps2LCBRCdEcUSr2WJqaopWy+PQoUPMzc/hug4bRkfJuBnm5+eZnp7i4PMHMZSip6e3k5hlczlc1yVJkvYe7hDPa1EslsgXCp0Zea01sY6J44hatdau8h6lM+Dt17Isk0KhkG6PaLVotVpUqlUmjk5QKKavdelll67AX5S1RZLupVkVe7qXq/iLEEIIIcSrGR0dJYpims0mAIVikR07tqPaN/yVVjiOk/ZajkL27t2LoRSFfIFyuYTjpPtlh4eGsC2bltdicHAQ13E7s6mGYdDTU6ZcKhPFaXLw7OwsgX9cZWrSJFInoNC4mQz/+T//Z4qFAs1mi6ef3sfevXtPmKkcGhxi06ZN6WywTvD9gGazwRNPPInv+wRBulTbUAbNZpNLdu1CGaqdcGl8328ve04vjHt7e7Bth0zGZfv27QwODqHU4vdnszme+cUzNJtNRkZGuOA1F1AoFDr72P12L+1Gs0mjUUcpRTabbc++pr2hMRVgYzs25Z4efC9dpp3Pp0uDHcfGNC0Mw0B1il2lrx9FIaZpYSmrXfBcd5ZxDw4NsmPHjk7SprXm+ecPUq1WyMylvc1HhofTPuOGQTaTpeW12r25EzJuBstKVy4EQUAQ+ChVwPM8ZqZnOisYoL3HWac3JrZu3UpPTw/79z9LEATEXky9XqfRaGJZFmEYAIpCIc/o6Cj5XB6loF5vcfToUWZnZ8lmc+zYsaMzY4taKOxH5zh9P0hXD7SPr6dcplgqsWnTZgb6+7EsGxRpn+t6g3ojnX2er8zz7P5n8f20kFl/Xz9Dg4OdmXXHcUGnBeLCIC1Ylv672IjjuBiGYsOGUbSGRrNJPl9o99U2sR073TNuKJIYspkM9VqN6ekqR8bGaDWbxHFMX38/Q4NDbNiwgccffzwdn0SDubivvtVq4dg2GTdDNptlamqKoN2TfKEH+0I1uySJmT02S7PZYGJikt7enk6P9c7Wf60wTIM4jgj8AD/wMQ2DaqVCkqQ3hiTpfnWSdC/Nqki6l634ixBCCCHEqzAtK+35S9rCq1goYJonXjJpNH7g47cTGtM0mZicYGCgP13KS3upr+tgWiaObbeXutocOHCAfCFPuVxGKYVlWZSKJXLZXDt7O/4H6c5F7o7tOyiXSijDIF/Is23bNvbu/elx7aMMRkZG2smp6hRSmpqaolarEgQhcRwBadJcr9exLQvLtNIEDUWysPSc9OJ4YGAQN+NSLvdw/vnnY1ntAnpKoVDYtsXFF1/M+Pg45513Hv19fe393glRHJMkMdVqnSAI28XWFNlcrl0Yq109W2uUoWg1m0RhhOM4lMtlHNsGpdoz9nH719Hex41CGQZ+EKAI20uJLZJE06inyX3Gdclm0xnrOI5xXQfP85maSidvhoeHyeVy9PX2pYXY0Di2TaPZxFAK20mXU6v20C/Mms7OzXUqai++HxaXSw8ODmBZNuVyiUplPu0XbiharVaalJK2cbNth4GBgfaNlYRjs8c4cPAgOtGMjIzQ29vbjl+1l1ovZNzp76HZSovoZbNZHNvBtCz6+/oolooYholhGiRxzPT0NE/ve5qZmZm0OrllEvg+SaJxXRfTPK6KOYstodI95el7wfe8djXwNAbTMnEcB89LV1rEUUQQBkxOTLJly5b092Va9Pb2cezYLEHgU61UO32ic7kcIyMjlMolwijs/Ba1Bs/3yLgulml19vIXi0Vmjs103le1Wr2TvOn2/v4nn3yCZrOV9lQPAnp6enEcJz0+nX6voQyq1Rq6HXN83PMlozg5knQvjdLrKGutVqvc86k/olywsK3FAY9igyA2uebcZyll/Fd4hdWrdWiq2yEIIdaQ7JahboewYqqey//3ix24Voxlntj+Kow0v/t//QWVSoVSqdSlCLtnPZ9HhRBitah6Lg/v34FjnngeO51zWLVapVwu8+CDD5LPL72DSaPR4Fd+5VfW3Xl0Vcx0LyetQSmrs0QM0mViKjEwnRKmG73Cs1cvHda6HYIQYg0x3d5uh7BizMQi0jaOUijjxPvSSq3+HtSna72eR4UQYrUwEwuNhTJOPI8t1zlsvc5Wn451l3QnCSjDwThumZgivWCwchtYq61ntT/f7RCEEGuIXdjc7RBWjKUAZdHwLRxHc3wxWxVLQrlez6NCCLFaWAoibRNrC8dcfHw5zmGyvHxppAS4EEII8QK2CZGGSkORrJtNWEIIIdYKpaDqKcJlvle8kHSfzsd6JEm3EEII8QKGAaWMJkok8RZCCLH62GY64z3fXN7EW5LupZGkWwghhHgJlgU9OUm8X0gr89W/SQghRFcpBcWcxjKWN/GWpHtp1t+ebmWvywun/v/jtd0OQQghVh27nXjPNxWVhiJrdzui7tNYtAIDx+l2JEIIIV6JUlDOayoNxXxTkbNPP+GVPd1Lsw5nuhV1z1yXibcQQohTZx834133ZJZXEdEMDRre+rxwEkKI1cRoJ96WATX/9M9hMtO9NOtupttUEVGSMF+HUjbEUKBjhY4NouYEoZbKtEIIsZ5FLQsdj6BVQkJ6h9ZUUMoo5hrr7rT5IqaKyVgBdc9GJxE5N5bzqBBCnEVe6jxWzEC0DOcwwzAwjKXP2y7luY888gh33nknjz/+OEePHuUrX/kKb33rW1/2+x9++GGuvfbaFz1+9OhRRkZGTvnnL4d1d/VgqISc3aIVZak0TcoZD50YaG0SB1Viw+92iEIIIbooDly0HkQnMfq4nqaWgrwddjGys4NSkLE8TCOh4TtoHeOYkZxHhRDiLPFS5zEFFOzgtF+7G8vLG40Gl1xyCb/927/Nr//6r5/0855++mlKpVLn86GhoVP+2ctl3SXdcQyukyGTMZlvWtQCh3xGYyiF27OTjPQXFUKIdc1vgGHZGJbGfMFKPFdmcYljMMwcxayFYSoafg6tNKaFnEeFEOIs8HLnMXMZzmHdSLrf/OY38+Y3v/mUnzc0NERPT88pP28lrMM93anj9+jVmgote7yFEEKIU5LPaPKuphkoorjb0QghhFhpy7Wnu1qtnvDh+8u/SmrXrl1s2LCB//Sf/hPf/e53l/31T8W6TbrhuMRbgy8rBoUQQohTls9oco6WpFsIIdaB5Uq6N2/eTLlc7nzccccdyxbjhg0buPfee7n//vu5//772bx5M9dccw0/+tGPlu1nnKp1t7z8hWwLrHV960EIIYQ4PRlHE7bWZ0VaIYRYT5Zrefnhw4dP2G/tuu5px7Zg586d7Ny5s/P5VVddxbPPPsunPvUp7rvvvmX7Oadi3SfdDU8RxgrXlvXlQgghxKlKdLpNS8kNbCGEWPOWK+kulUonJN0r7corr+Q73/nOGft5L7Suk+6Gp2j4ipzz4mI5QgghhHhliYZKQxFpyMl5VAgh1rxuFFJbDj/5yU/YsGFDV342rMekW4HWCXVP0/AU+UyMYyUEkYGOWiRh8uqvIYQQYs3SUdpGUuvkRUU2tZZzxMJ5NE5iKk2TONYUMzGJlvOoEEKcDV7uPLYc57BuJN31ep39+/d3Pj9w4AA/+clP6OvrY8uWLdx2222MjY3xd3/3dwDcddddbNu2jYsuugjP8/ibv/kbHnroIb7xjW8sOe7Tte6SbtOAph8RxCY5u0XWCIhCAx3b+NVf4Ptet0MUQgjRRb6fQUcXoHVIkpx4gdL0nS5FdfYwDUjiJvNejlhrSm4TlUAs51EhhDgrvNx5LAhPf0mSUgrDWPp+oqUk3T/84Q+59tprO5/ffPPNALzzne/kb//2bzl69CiHDh3qfD0IAt7//vczNjZGLpfjda97Hd/61rdOeI0zbd0l3VFiksQ5illN3nUBF2WAUgZu6TzcnNyhF0KI9cxtGigrg7IcjOOuTxq+gRdLsbA4gXpYAgx6CjG2mSeM5TwqhBBni5c6j4UxNMLTL77RjZnua665Bv0K/Z3/9m//9oTPb7nlFm655ZZT/jkrad0l3RqLnJ1QyBhA+i5Uqv0GsrIYdnfjE0II0V3KShPI9MIifazhKZq+ImdH3Q3uLJBgE2uD/gLYlpxHhRDibPPC81gYQaWpsIzVubx8LVh3SbciIuskrPMW5UIIIU7SQtHNvKuxl+GCZfVTFN24k3ALIYQ4e4URzDcVlgFZOz7t15Oke2nWX9KtT//NJoQQYn04PuHOZzRB0O2Iuk/pENvMdDsMIYQQryKKoO6nCXc5r4nC039NSbqXZt0l3UIIIcTJaPkKL1xMuEVKIb8LIYQ42yUJ1AOFY6YJt7FMua4k3UsjSbcQQgjxAlEMrUBRzEjCLYQQYvUJY7DU8ibcIEn3UknSLYQQQrxAFEPOkYRbCCHE6qQUFHLLm3CnrytJ91Ksu6TbNNP+onG4OOBJbJDEJv78s3ie38XohBBCdJvvuZich2uExOGJhdOSWJJwOY8KIcTZzfdcTL0DHcXEevE8thznMMMwTqtP9+k8dzVbd0m31qCUhTpuwJVWqMTAdEqYrrSDEUKI9cxMLCxToQwLZZx4gaKUVC+X86gQQpzdzMTCMEyUoU44jy3HOUxmupdm3SXdSQLKcDDMxUNXpBcMVm4Ddr57sQkhhOg+S4EybZSpMV7QFUvFklDKeVQIIc5uL3ceW45zmCTdS7Pukm4hhBBCCCGEEKdOku6lkaRbCCGEEEIIIcSrkqR7aSTpFkIIIYQQQgjxqiTpXhpJuoUQQgghhBBCvCpJupdGkm4hhBBCCCGEEK9Kku6lWXdJt2GATgKS46r36VihY4OoOUGopTKtEEKsZ1HLQscjaJWQcGLLMJ1IyzA5jwohxNnt5c5jy3EOU0qdVq9tSbrXCaVA6widLA64Tgy0NomDKrHhdzE6IYQQ3RYHLlE8jG1E6Bf0NNVav8yz1g85jwohxNktDlySZBCdxCecx5bjHCYz3Uuz7pLuOAbDzGHai4eeGGAohduzk4z0FxVCiHXNb0CMjZ+4uJkTL1BimcWV86gQQpzl/AbEykZZGvO4bG85zmGSdC/Nuku6hRBCiFdjmdAMFKYB+YzMbgshhFhdtIZaU9Fb1BjLmOdK0r00knQLIYQQL2CZkHM0DT+9OJDEe5FGEcWg4sXHohjiBGqt7sUlhBAiVWuBoaCVwFxNUcxplEr/Vp8uSbqXRpJuIYQQ4iVkXY1psCYTb9/32bNnD3v37uXHP/4xu3btOunnRkaJuaaFah23p5t0VuW7P7cxzZd5Xpx+WGb6sRSn+xpJAmGc7ku3zfS/Z/o1tE6fr3X6/KXUI1qO15DxSMl4LJLxWLTaxyOOoe6lT2iE6XnMMkFr+9QDeQFJupdm3SXdWi3xX44QQoh1ZyHRXki87aUXbD2r3HLLLYyOjrJ3794lPNskaV/MLtAaEsC29EteXLZ8RStQ5BxN1l36zQvHSl+ruYTXiiKoBwpLQaE967NUVgRVT5HEdGaQTsbCcs9IQymjsU7jKsyx0tdqxqf+WjIeKRmPRTIei9bCeESqXWVc0ZnhDmMwDSmk1i3rL+nGohUYOE63IxFCCLEaHJ94u+bqz7ofeOABvvGNb3D//ffzwAMPLOk1Eq1INFjtX0cCKNLZHPsFSXfDU3ihopjRy7JawM4trkA42T33YQR1X+GYUM6f/v5G2wTL1Mw3FQ1PndRrJhoqDUUC9OU19jJcgfUWNZWGou4resyTe00Zj5SMxyIZj0VraTxUO+G2jfS/YQRxcvrnMEm6l2bdJd2KiGZoYHqavJuW0NcatDbQUYsklB6sQgixnukobX+ldcJCd5WcCxqDWmt1J92Tk5PccMMNfPWrXyWXy73q9/u+j+8vtgCrVqukKbZBGAGWxly4ftKATk5oSdPwDRqeIp+JybmLv8/TtTAedc9As3g+fylhDJWGiWlqSrkYBcsSh2VCOZe+9nwDyrn4ZS+OEw2Vpkkca8r5uL3M8/RjUEApl772fAPK+fhFNz2OJ+ORkvFYJOOxaE2Nh1bph0qfbyrAgjA6/YTXMIzT6tN9Os9dzdZd0m0ZMY7ZpNFy0ZFPzgnQsYGObfzqL/B9r9shCiGE6CLfz6CjC9A6JEkWL46yBoTm6l0mpbXm+uuv58Ybb2T37t0cPHjwVZ9zxx138OEPf/iExz78oQ9iqpBYW2nibUTpxbQ2SKIGSZJW6mkGDs3QJWe3yBoBSbi8x5M1QFvOCefzFwpjg6qfw1QBJbsJUXrLYLmYQNFJf8Z8LaGcab5oGajWUPFyxFpTcpuYSUKyzPf3SzZU4hzzdYOS28Q2X/wDZDxSMh6LZDwWrbXxSBITdCHdGN7+nZtAwukn3TLTvTTrLumOE8i5FrY2aHh5lJXFsROUMnBL5+HmZKZbCCHWM7dpoKwMynIwXjArktPLUPp1md1666184hOfeMXveeqpp/jGN75BrVbjtttuO+nXvu2227j55ps7n1erVf7fv7kXwzQxFQSRIkxsbFODAsPKY5iahm/QjAzy2YS86wLuUg/vFRVsUP7i+fz4GaQwhlrLxLIWZtmKKxKDa0OPDZWGQzV0TpjRSzRUmyYJ0FOIsc2Va2LeY6czerWg9KIZPRmP9GsyHjIe62U8jFiBMl5URc40ZU93t6y7pBsNShkUXIUCGr5JkhiYJigri3H6Rf2EEEKsYspKzxPphcULvqbOvgrm73//+7n++utf8Xu2b9/OQw89xGOPPYbrnnhBuXv3bt7+9rfzhS984UXPc133Rd+/wDAUjgVBBGGs0v3dyqDpK5q+opDR5DOKdH5l5RQydM7nCoN8RhNGUGmm1XrTPZErG4NjQU8e5puKatOinE/fJ9WmIk6gJ6+xl1oC+SSZKo2h0lBUmhY9uXQPa8OT8ZDxkPFYd+Oh6JQ7P/E8Jkl3t6y/pPs4C8UMap7Ctc++CykhhBDi1QwODjI4OPiq3/fpT3+aj33sY53Px8fHue666/jyl7/Mnj17lvSzDYNO4p326VZEsSLvLk8RopN1fLG7sF2l1zKWpyjUybIt6MmlxaPm6+kPjTWdi/szwVDpMVcaivmmwjbT1QgyHjIeIOMh47E8JOlemnWXdGsUUQyqvULQsTWmn5bmr7W6G5sQQojuq7XSBDJ6iZXkL/XYarFly5YTPi8UCgDs2LGDTZs2Lfl1DSO9oA6i9AI2Y5/ZC9gF+YwmjNMYAMr55IxfwNoWlHOa+Ua6pLMnn5yxhGLBQmIxUzUIInAsGQ8ZDxmPBTIep68bSfcjjzzCnXfeyeOPP87Ro0f5yle+wlvf+tZXfM7DDz/MzTffzM9+9jM2b97MH//xH7/qqrCVtO6S7tgoMde0UK10wLWGqF1j4KGf2jjW0hrYnw6t07tcC4UjDCNtt3CmbwRF8eIFpVJpDGe6wGCSpL+LhUqNlinjATIeMh4pGY9FKzkecQzVVnpR8cLD0lr2IL2U+LibEWGctqY50xfTYZT+7AUtX53xi+lEp8tVFzQ8hdWF2auWv/gDZTxkPEDG43gyHqenG0l3o9Hgkksu4bd/+7f59V//9Vf9/gMHDvCWt7yFG2+8kS9+8Ys8+OCD/Lf/9t/YsGED11133VLCPm2rLun2fZ89e/awd+9efvzjH7Nr165Ter5GodAYRrqPJFq4cFTp0o7WEhrYnw6todZURBpK7X9sVU+RxFDM6TN2IdvyVefYM46m1lQ04zQm6wy9S6II6oHCUumxe4GiKeMh4yHjAch4HG+lxyNS6UWBoV58MyGJV8dF0ck455xzTmjvtVRBmC4TNRT0FRIaXrp080wuGw2jdL9oukQzoeUrGu0L6zN1IbvQZzhKoDefXlzMNxWVxsn1KV4uDS899ryb/m1YWEor4yHjIeMh47EcupF0v/nNb+bNb37zSX//vffey7Zt2/izP/szAC644AK+853v8KlPfUqS7pN1yy23MDo6yt69e5f8Gkql//ijOJ3htq20rEAhq3HCU2tgfzoW/gAlQF9+8R+7ZaZ7XhremflD1PAUXqgoZhaX2PQW0z9EdV/RY678H6IwgrqvcMzFPS2OpTENGQ+Q8ZDxkPFYcKbGQ7UT7hcej14ly/9WykKSHmsgTghjhU47yWIoCKOYrK2peybH6oqiG6eVzVdQGCtqvomlErJ2TBSCbYBrGlRbBlGUkHVWtjNJoqHumUQaim6MTtJjztlpbLNVTSHz8n2Kl0srMGiGBjk7xjYSohCyNjIeMh4yHqyv8QgThU7Sc7Y+rgDown3j07nhWq/XT6vXdr1eB9JuGMd7pcKdp+qxxx7jjW984wmPXXfddfz+7//+srz+UqyqpPuBBx7gG9/4Bvfffz8PPPDAkl5DKYjjhBgDhcYxY9CgtSIJm2TMhMSyqbcckjgg5yxzo762tC9hhjgxKGU8DJ0Qt3+UQbuvoZdhrpZQzngrNoPUDGyagUPOCciYYScGgKKTxjhXT2N8qb6GyyGM02M1jYSi46EjWFhxkzGR8WiT8Ui/JuMh47HS45HEBiQ5UPpFSfbxy6jXo1qtxoc+/H93OwwhhBCnoVarUS6XT+k5juMwMjLC5s2bT/vnFwqFF73O7bffzoc+9KHTfm2AiYkJhoeHT3hseHiYarVKq9Uim80uy885Fasm6Z6cnOSGG27gq1/9Krlc7qSe4/s+vu93Pq9Wq2itiJWJAhwrQSmFbl9VKcNCGZp8BpSKaQQuSpnk3OW9yko0VD2bWBuUcwG2afLCFgWOAWUjotJyqPo5Stlw2e8ANn2TZmiRdyNyLsCJexUVaa/Aasug6ucoZ4NlvwMYxoqq72CZCaVsjKFevF9SxiMl47FIxmORjEdqOcdDabU41X38DEGiiDnDG/nPMqOjoxw+fJhisbhiFWir1SqbN2/m8OHDlEqlFfkZ3bAWj0uOaXWQY1odzsQxaa2p1WqMjo6e8nMzmQwHDhwgCIJlieOF55DlmuU+W62KpFtrzfXXX8+NN97I7t27OXjw4Ek974477uDDH/7wCY996Pb/AaQtTgwjvXBcuKRSpkv7IQo5UIai4bvtRHx5LqYTDbWGItbQm9fY1su/wVwTeg2Yb1rUPGtZl242PEUzXOhLaPPCC9gFBtBTSJeVVr3Msu55CaN0P6htQjmvXrEvoYxHSsZjkYzHIhmP1HKNhwJQBhy3pztKTix6s14ZhnFalc5PRalUWjMX08dbi8clx7Q6yDGtDit9TKc6w328TCZDJpNZxmhWxsjICJOTkyc8Njk5SalU6sosN9DdW/a33nprZzP+y33s27ePu+++m1qtxm233XZKr3/bbbdRqVQ6H4cPHwbAMpKTqnKbz2jyrqbhqxOqLS7V8UUkTvZicKGvYZS091Muw7X08UUkTubifKG9gmWkhR/C6PRjOLGIxMldnMt4pGQ8Fsl4LJLxSK3EeERJOiaK9PwhhBBCiLPX61//eh588METHvvmN7/J61//+i5F1OWZ7ve///2v2i9t+/btPPTQQzz22GMvWnawe/du3v72t/OFL3zhJZ/70hvyEwx18vcajm9gf/znp2opF7ALFi5kl6PK46lewC5YuJBdjiqPS0koFsh4pGQ8Fsl4LJLxSC3neByfcDvWYrs2IYQQQpwZ9Xqd/fv3dz4/cOAAP/nJT+jr62PLli3cdtttjI2N8Xd/93cA3HjjjXzmM5/hlltu4bd/+7d56KGH+J//83/y9a9/vVuH0N2ke3BwkMHBwVf9vk9/+tN87GMf63w+Pj7Oddddx5e//GX27NmzkiECp38hezoXsAuW40J2qRewC5bjQvZ0EooFMh4pGY9FMh6LZDxSyzEeC33RFxJuw5BCameC67rcfvvta25/31o8Ljmm1UGOaXVYi8e0XH74wx9y7bXXdj6/+eabAXjnO9/J3/7t33L06FEOHTrU+fq2bdv4+te/zh/8wR/wF3/xF2zatIm/+Zu/6Vq7MACll6NJ5xl28OBBtm3bdsp9uqvVKp/68/8HxzIwzcXZ7kSnH4OlBPvlt00u6SJwOS5gj7fUi/LTvYA93lKPaTkSiuPJeKRkPBbJeCyS8Ugt5ZjCGKbmDaLkxIQb0u4Xf/Q/PkqlUllz+wiFEEIIsTLWdxnWU3SqeyaX+wIWlrZncjkvYGFpeyaXO6EAGY8FMh6LZDwWyXikljIeUQzxSyTcQgghhBBLsSqql7/QOeecs+Sm7gpAa7Q+bo2gVmmv7tgn4ZVfN2uDTkzqnoVOopdtz5NoqLZsosSgnA0wlSZZpmWJpoJSRlFpOczXk1dsz9P0TRqBRd6JyNrxssUAUMykxzjXMF6xPU8Yp7FaRkwxE0ICy1WKSMZjkYxHSsZjkYzHolMZj2rTAcAyE5TSJ+7jXnVrw4QQQgjRbasy6T4tCjRJmmgv0Bq0QicRWr365W7WDtHapuE7aB2Tc8ITvq41VLwMcQKlTBNLJehlLnhrKSi5EVUvQ6VpUs54vLBlajOwaQYmOcdPY17mGBRQckMqXoZK06KU8bDNE39IGBtUvQymEVFyPZRe/kJEMh4pGY9FMh6LZDxSpzQexJgKDPSLkmwtWbcQQgghTtG6Srq1TmcsEkyUPv5xhQYiMqiTvOJ17XR2qB5kSLRD1kkv3hINdc8k0oqiG2MYLvEKXaMZBuRdqPk28y2LQibuzCC1AoNmaJCzE1zbItYrN9R5F+qewbyXp+jGnRmkMFbUfBNLpctcE7IrNksk47FIxiMl47FIxmPRyYxHxknwY4NEg3rBoCyk6auwHIoQQgghumRVFlJbqiNHjrB58+ZuhyGEEGKVO3z4MJs2bep2GEIIIYRYBdZV0p0kCePj4xSLRdQL1zYus2q1yubNmzl8+PCarnArx7m2yHGuHevhGOHMH6fWmlqtxujoKIZUWDtjvv71r/ORj3yEn/70p2QyGd7whjfw1a9+tdthnTbf99mzZw979+495Y4sZ5ODBw/y0Y9+lIceeoiJiQlGR0d5xzvewQc/+EEcx+l2eCftL//yL7nzzjuZmJjgkksu4e677+bKK6/sdlhLcscdd/CP//iP7Nu3j2w2y1VXXcUnPvEJdu7c2e3Qls2f/umfctttt/G+972Pu+66q9vhLNnY2Bgf+MAHeOCBB2g2m5x77rl8/vOfZ/fu3d0OTSyjdbW83DCMMz4zUSqV1vQF7wI5zrVFjnPtWA/HCGf2OMvl8hn5OSJ1//33c8MNN/Dxj3+c//gf/yNRFPHkk092O6xlccsttzA6OsrevXu7Hcpp2bdvH0mS8NnPfpZzzz2XJ598khtuuIFGo8EnP/nJbod3Ur785S9z8803c++997Jnzx7uuusurrvuOp5++mmGhoa6Hd4p+/a3v81NN93EFVdcQRRF/NEf/RG/+qu/ys9//nPy+Xy3wzttP/jBD/jsZz/L6173um6Hclrm5ua4+uqrufbaa3nggQcYHBzkF7/4Bb29vd0OTSyzdTXTfSZVq1XK5fKa7+Uqx7m2yHGuHevhGGH9HOd6FUUR55xzDh/+8Id597vf3e1wltUDDzzAzTffzP33389FF120qme6X8qdd97JPffcw3PPPdftUE7Knj17uOKKK/jMZz4DpKsjN2/ezHvf+15uvfXWLkd3+qanpxkaGuLb3/42v/zLv9ztcE5LvV7nsssu46/+6q/42Mc+xq5du1btTPett97Kd7/7XR599NFuhyJWmKyNE0IIIcRZ6Uc/+hFjY2MYhsGll17Khg0bePOb37zqZ7onJye54YYbuO+++8jlct0OZ0VUKhX6+vq6HcZJCYKAxx9/nDe+8Y2dxwzD4I1vfCOPPfZYFyNbPpVKBWDVjMkruemmm3jLW95ywnitVv/8z//M7t27edvb3sbQ0BCXXnopf/3Xf93tsMQKkKR7hbiuy+23347rut0OZUXJca4tcpxrx3o4Rlg/x7leLcySfuhDH+KP//iP+drXvkZvby/XXHMNs7OzXY5uabTWXH/99dx4441rds/m/v37ufvuu/md3/mdbodyUmZmZojjmOHh4RMeHx4eZmJioktRLZ8kSfj93/99rr76ai6++OJuh3NavvSlL/GjH/2IO+64o9uhLIvnnnuOe+65h/POO49/+7d/43d/93f5vd/7Pb7whS90OzSx3LQQQgghxBn0gQ98QJM2yXvZj6eeekp/8Ytf1ID+7Gc/23mu53l6YGBA33vvvV08ghc72WP6i7/4C3311VfrKIq01lofOHBAA/rHP/5xdw/gJZzsMR3vyJEjeseOHfrd7353l6I+dWNjYxrQ3/ve9054/A//8A/1lVde2aWols+NN96ot27dqg8fPtztUE7LoUOH9NDQkN67d2/nsTe84Q36fe97X/eCOk22bevXv/71Jzz23ve+V/+H//AfuhSRWCnrqpCaEEIIIbrv/e9/P9dff/0rfs/27ds5evQoABdeeGHncdd12b59O4cOHVrJEE/ZyR7TQw89xGOPPfai1Rm7d+/m7W9/+1k1w3Wyx7RgfHyca6+9lquuuorPfe5zKxzd8hkYGMA0TSYnJ094fHJykpGRkS5FtTze85738LWvfY1HHnlk1bc5fPzxx5mamuKyyy7rPBbHMY888gif+cxn8H0f0zS7GOGp27Bhwwl/3wAuuOAC7r///i5FJFaKJN1CCCGEOKMGBwcZHBx81e+7/PLLcV2Xp59+ml/6pV8CIAxDDh48yNatW1c6zFNyssf06U9/mo997GOdz8fHx7nuuuv48pe/zJ49e1YyxFN2sscEaduja6+9lssvv5zPf/7zq6qlnuM4XH755Tz44IO89a1vBdIl2Q8++CDvec97uhvcEmmtee9738tXvvIVHn74YbZt29btkE7br/zKr/DEE0+c8Ni73vUuXvOa1/CBD3xg1SXcAFdffTVPP/30CY8988wzZ93fN3H6JOkWQgghxFmpVCpx4403cvvtt7N582a2bt3KnXfeCcDb3va2Lke3NFu2bDnh80KhAMCOHTtW7Uzk2NgY11xzDVu3buWTn/wk09PTna+tlpnim2++mXe+853s3r2bK6+8krvuuotGo8G73vWuboe2JDfddBN///d/zz/90z9RLBY7e9PL5TLZbLbL0S1NsVh80Z70fD5Pf3//qt2r/gd/8AdcddVVfPzjH+c3fuM3+P73v8/nPve5VbVSRJwcSbqFEEIIcda68847sSyL3/qt36LVarFnzx4eeugh6WN7FvnmN7/J/v372b9//4tuHOhV0pn2N3/zN5menuZP/uRPmJiYYNeuXfzrv/7ri4qrrRb33HMPANdcc80Jj3/+859/1S0D4sy54oor+MpXvsJtt93GRz7yEbZt28Zdd93F29/+9m6HJpaZ9Ok+Q77+9a/zkY98hJ/+9KdkMhne8IY38NWvfrXbYa0I3/fZs2cPe/fuXXN9Rw8ePMhHP/pRHnroISYmJhgdHeUd73gHH/zgB3Ecp9vhnZa//Mu/5M4772RiYoJLLrmEu+++myuvvLLbYS2bO+64g3/8x39k3759ZLNZrrrqKj7xiU+wc+fOboe2ov70T/+U2267jfe9732rto/pyxkbG+MDH/gADzzwAM1mk3PPPZfPf/7za7YitBBCCCFWp9Wz4WYVu//++/mt3/ot3vWud7F3716++93v8l//63/tdlgr5pZbbmF0dLTbYayIffv2kSQJn/3sZ/nZz37Gpz71Ke69917+6I/+qNuhnZYvf/nL3Hzzzdx+++386Ec/4pJLLuG6665jamqq26Etm29/+9vcdNNN/Pu//zvf/OY3CcOQX/3VX6XRaHQ7tBXzgx/8gM9+9rO87nWv63Yoy25ubo6rr74a27Z54IEH+PnPf86f/dmfyeynEEIIIc46MtO9wqIo4pxzzuHDH/4w7373u7sdzop74IEHuPnmm7n//vu56KKL1txM90u58847ueeeezr9ZFejPXv2cMUVV/CZz3wGSAvIbN68mfe+973ceuutXY5uZUxPTzM0NMS3v/1tfvmXf7nb4Sy7er3OZZddxl/91V/xsY99jF27dq2pme5bb72V7373uzz66KPdDkUIIYQQ4hXJTPcK+9GPfsTY2BiGYXDppZeyYcMG3vzmN/Pkk092O7RlNzk5yQ033MB9991HLpfrdjhnTKVSoa+vr9thLFkQBDz++OO88Y1v7DxmGAZvfOMbeeyxx7oY2cqqVCoAq3rsXslNN93EW97ylhPGdS3553/+Z3bv3s3b3vY2hoaGuPTSS/nrv/7rboclhBBCCPEiknSvsIXZzw996EP88R//MV/72tfo7e3lmmuuYXZ2tsvRLR+tNddffz033njjutpPuX//fu6++25+53d+p9uhLNnMzAxxHL+oWMzw8HCn2ulakyQJv//7v8/VV1+9aiuevpIvfelL/OhHP+KOO+7odigr5rnnnuOee+7hvPPO49/+7d/43d/9XX7v937vrOpxLIQQQggBknQv2a233opS6hU/Fvb/Anzwgx/kv/yX/9LpX6mU4n/9r//V5aN4dSd7nHfffTe1Wo3bbrut2yEvycke5/HGxsZ405vexNve9jZuuOGGLkUuluKmm27iySef5Etf+lK3Q1l2hw8f5n3vex9f/OIXyWQy3Q5nxSRJwmWXXcbHP/5xLr30Uv77f//v3HDDDdx7773dDk0IIYQQ4gTSMmyJ3v/+979qy4Xt27dz9OhRAC688MLO467rsn37dg4dOrSSIS6Lkz3Ohx56iMceewzXdU/42u7du3n7299+1s8+nexxLhgfH+faa6/lqquuWvW9FAcGBjBNk8nJyRMen5ycXDX9VU/Fe97zHr72ta/xyCOPrNqeuK/k8ccfZ2pqissuu6zzWBzHPPLII3zmM5/B931M0+xihMtjw4YNJ/xdBbjgggu4//77uxSREEIIIcRLk6R7iQYHBxkcHHzV77v88stxXZenn36aX/qlXwIgDEMOHjzI1q1bVzrM03ayx/npT3+aj33sY53Px8fHue666/jyl7/Mnj17VjLEZXGyxwnpDPe1117bWbVgGKt7wYjjOFx++eU8+OCDvPWtbwXSWcQHH3yQ97znPd0NbhlprXnve9/LV77yFR5++GG2bdvW7ZBWxK/8yq/wxBNPnPDYu971Ll7zmtfwgQ98YE0k3ABXX301Tz/99AmPPfPMM6vi76oQQggh1hdJuldYqVTixhtv5Pbbb2fz5s1s3bqVO++8E4C3ve1tXY5u+WzZsuWEzwuFAgA7duxYU7OJY2NjXHPNNWzdupVPfvKTTE9Pd762mmeFb775Zt75zneye/durrzySu666y4ajQbvete7uh3asrnpppv4+7//e/7pn/6JYrHY2a9eLpfJZrNdjm75FIvFF+1Tz+fz9Pf3r6n963/wB3/AVVddxcc//nF+4zd+g+9///t87nOfW/UrT4QQQgix9kjSfQbceeedWJbFb/3Wb9FqtdizZw8PPfSQ9JNdhb75zW+yf/9+9u/f/6KbCau5+95v/uZvMj09zZ/8yZ8wMTHBrl27+Nd//dcXFVdbze655x4ArrnmmhMe//znP/+qWwvE2eeKK67gK1/5Crfddhsf+chH2LZtG3fddRdvf/vbux2aEEIIIcQJpE+3EEIIIYQQQgixQlb3ZlQhhBBCCCFOw/T0NCMjI3z84x/vPPa9730Px3F48MEHuxiZEGKtkJluIYQQQgixrv3Lv/wLb33rW/ne977Hzp072bVrF7/2a7/Gn//5n3c7NCHEGiBJtxBCCCGEWPduuukmvvWtb7F7926eeOIJfvCDH7yoFaoQQiyFJN1CCCGEEGLda7VaXHzxxRw+fJjHH3+c1772td0OSQixRsiebiGEEEIIse49++yzjI+PkyQJBw8e7HY4Qog1RGa6hRBCCCHEuhYEAVdeeSW7du1i586d3HXXXTzxxBMMDQ11OzQhxBogSbcQQgghhFjX/vAP/5B/+Id/YO/evRQKBd7whjdQLpf52te+1u3QhBBrgCwvF0IIIYQQ69bDDz/MXXfdxX333UepVMIwDO677z4effRR7rnnnm6HJ4RYA2SmWwghhBBCCCGEWCEy0y2EEEIIIYQQQqwQSbqFWOemp6cZGRnh4x//eOex733veziOw4MPPtjFyIQQQgghhFj9ZHm5EIJ/+Zd/4a1vfSvf+9732LlzJ7t27eLXfu3X+PM///NuhyaEEEIIIcSqJkm3EAKAm266iW9961vs3r2bJ554gh/84Ae4rtvtsIQQQgghhFjVJOkWQgDQarW4+OKLOXz4MI8//jivfe1rux2SEEIIIYQQq57s6RZCAPDss88yPj5OkiQcPHiw2+EIIYQQQgixJshMtxCCIAi48sor2bVrFzt37uSuu+7iiSeeYGhoqNuhCSGEEEIIsapJ0i2E4A//8A/5h3/4B/bu3UuhUOANb3gD5XKZr33ta90OTQghhBBCiFVNlpcLsc49/PDD3HXXXdx3332USiUMw+C+++7j0Ucf5Z577ul2eEIIIYQQQqxqMtMthBBCCCGEEEKsEJnpFkIIIYQQQgghVogk3UIIIYQQQgghxAqRpFsIIYQQQgghhFghknQLIYQQQgghhBArRJJuIYQQQgghhBBihUjSLYQQQgghhBBCrBBJuoUQQgghhBBCiBUiSbcQQgghhBBCCLFCJOkWQgghhBBCCCFWiCTdQgghhBBCCCHECpGkWwghhBBCCCGEWCGSdAshhBBCCCGEECvk/wdzZMtdc0Hg0AAAAABJRU5ErkJggg==”, “text/plain”: [
“<Figure size 1000x400 with 3 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}
], “source”: [
“_, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(10, 4))n”, “sim0.plot(z=0, ax=ax1)n”, “sim0.plot_eps(z=0, ax=ax2)n”, “plt.show()”
]
}, {
“cell_type”: “markdown”, “id”: “d7b94105-a4db-4a7a-843e-4595f4bdc2a6”, “metadata”: {}, “source”: [
“## Objective Functionn”, “n”, “Next, we will write the code that will define our metric for optimization. Specifically, we will analyze the transmission spectrum of our device, and compute the weighted sum with a set of weights representing our ideal bandpass filter operation.n”, “n”, “We’ll also include a penalty to discourage small feature sizes, which could be difficult to fabricate.”
]
}, {
“cell_type”: “code”, “execution_count”: 15, “id”: “69e3afc1-ab3a-4f90-9dbf-486d738ebda3”, “metadata”: {}, “outputs”: [], “source”: [
“def get_transmission(n”, “ params, beta, step_num: int, verbose: bool, use_broadband: booln”, “) -> np.ndarray:n”, “ """Compute transmission amplitudes as function of frequency."""n”, “ sim = get_sim(params=params, beta=beta)n”, “ task_name = "bend_transmission_mf"n”, “ if step_num is not None:n”, “ task_name += "_step_" + str(step_num)n”, “ data = web.run(sim, task_name=task_name, verbose=verbose)n”, “ amps = data[mnt_mode.name].amps.sel(direction="+", mode_index=mode_index)n”, “ if not use_broadband:n”, “ amps = amps.interp(f=freq0)n”, “ return np.abs(amps) ** 2”
]
}, {
“cell_type”: “code”, “execution_count”: 16, “id”: “7fa5ad7d-be8e-4f20-986c-2d150b0dae49”, “metadata”: {}, “outputs”: [
- {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 640x480 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}
], “source”: [
“bandwidth_um = 0.1n”, “n”, “import xarray as xrn”, “n”, “n”, “def target(freq: float) -> xr.DataArray:n”, “ """Target transmission as a function of frequency."""n”, “ wvl_min = lambda0 - bandwidth_um / 2.0n”, “ wvl_max = lambda0 + bandwidth_um / 2.0n”, “ wvl = td.C_0 / freqn”, “ values = 1.0 * (np.logical_and(wvl > wvl_min, wvl < wvl_max))n”, “ return xr.DataArray(values, coords=dict(f=freq))n”, “n”, “n”, “target_spectrum = target(freqs)n”, “target_spectrum.plot.scatter()n”, “plt.ylabel("transmission")n”, “plt.show()”
]
}, {
“cell_type”: “code”, “execution_count”: 17, “id”: “e8b67ae9-9d49-450d-89a3-0581fb055c12”, “metadata”: {}, “outputs”: [], “source”: [
“def get_metric(transmission: xr.DataArray) -> float:n”, “ in_band = target_spectrumn”, “ out_band = 1 - target_spectrumn”, “n”, “ avg_T_in_band = np.sum(in_band * transmission).values / np.sum(in_band).valuesn”, “ avg_T_out_band = np.sum(out_band * transmission).values / np.sum(out_band).valuesn”, “n”, “ # ideally, (avg_T_in_band = 1 and avg_T_out_band = 0) -> metric = 1n”, “ # at worst, (avg_T_in_band = 0 and avg_T_out_band = 1) -> metric = -1n”, “n”, “ return avg_T_in_band - avg_T_out_band”
]
}, {
“cell_type”: “markdown”, “id”: “3cccf15e-c5bb-40d7-817d-1c1f8521d7fb”, “metadata”: {}, “source”: [
“### Fabrication Penaltyn”, “n”, “Next, we introduce a builtin fabrication penalty function, that evaluates our design region to reduce our objective function if any small feature sizes are measured compared to the radius defined earlier.”
]
}, {
“cell_type”: “code”, “execution_count”: 18, “id”: “3003837c-b401-413d-89c3-cb7d5679afc9”, “metadata”: {}, “outputs”: [], “source”: [
“from tidy3d.plugins.autograd import make_erosion_dilation_penaltyn”, “n”, “penalty = make_erosion_dilation_penalty(radius, dl_design_region, beta=beta_penalty)”
]
}, {
“cell_type”: “code”, “execution_count”: 19, “id”: “f35aa79e-712e-4bb6-8257-489d217e4ce1”, “metadata”: {}, “outputs”: [], “source”: [
“# for debugging, can be helpful to be able to change our objective function behaviorn”, “use_metric = Truen”, “use_penalty = Truen”, “use_broadband = Truen”, “n”, “n”, “def objective(n”, “ params: np.ndarray,n”, “ beta: float,n”, “ step_num: int = 0,n”, “ verbose: bool = False,n”, “ use_metric: bool = use_metric,n”, “ use_penalty: bool = use_penalty,n”, “ use_broadband: bool = use_broadband,n”, “) -> float:n”, “ metric = 0.0n”, “ penalty_val = 0.0n”, “n”, “ if use_metric:n”, “ transmission = get_transmission(n”, “ params=params,n”, “ beta=beta,n”, “ step_num=step_num,n”, “ verbose=verbose,n”, “ use_broadband=use_broadband,n”, “ )n”, “ metric = get_metric(transmission)n”, “n”, “ if use_penalty:n”, “ penalty_weight = 1.0 # np.minimum(1, beta / 25)n”, “ density = get_density(params, beta)n”, “ penalty_val = penalty_weight * penalty(density)n”, “n”, “ return metric - penalty_val”
]
}, {
“cell_type”: “code”, “execution_count”: 20, “id”: “b5fcbd67-4a6a-4dfc-8e69-9dc221fb8042”, “metadata”: {}, “outputs”: [], “source”: [
“grad_fn = ag.value_and_grad(objective)”
]
}, {
“cell_type”: “code”, “execution_count”: 21, “id”: “19ec2d7d-7cad-4bdd-af11-8354585e5ef0”, “metadata”: {}, “outputs”: [
- {
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}, “metadata”: {}, “output_type”: “display_data”
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- “data”: {
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“<pre style="white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,’DejaVu Sans Mono’,consolas,’Courier New’,monospace"><span style="color: #7fbfbf; text-decoration-color: #7fbfbf">13:20:17 EDT </span>status = queued n”, “</pre>n”
], “text/plain”: [
“u001b[2;36m13:20:17 EDTu001b[0mu001b[2;36m u001b[0mstatus = queued n”
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}, “metadata”: {}, “output_type”: “display_data”
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- “data”: {
- “text/html”: [
“<pre style="white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,’DejaVu Sans Mono’,consolas,’Courier New’,monospace"><span style="color: #7fbfbf; text-decoration-color: #7fbfbf"> </span>To cancel the simulation, use <span style="color: #008000; text-decoration-color: #008000">’web.abort(task_id)’</span> or n”, “<span style="color: #7fbfbf; text-decoration-color: #7fbfbf"> </span><span style="color: #008000; text-decoration-color: #008000">’web.delete(task_id)’</span> or abort/delete the task in the web UI. n”, “<span style="color: #7fbfbf; text-decoration-color: #7fbfbf"> </span>Terminating the Python script will not stop the job running on the n”, “<span style="color: #7fbfbf; text-decoration-color: #7fbfbf"> </span>cloud. n”, “</pre>n”
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“u001b[2;36m u001b[0mu001b[2;36m u001b[0mTo cancel the simulation, use u001b[32m’web.abortu001b[0mu001b[32m(u001b[0mu001b[32mtask_idu001b[0mu001b[32m)u001b[0mu001b[32m’u001b[0m or n”, “u001b[2;36m u001b[0mu001b[32m’web.deleteu001b[0mu001b[32m(u001b[0mu001b[32mtask_idu001b[0mu001b[32m)u001b[0mu001b[32m’u001b[0m or abort/delete the task in the web UI. n”, “u001b[2;36m u001b[0mTerminating the Python script will not stop the job running on the n”, “u001b[2;36m u001b[0mcloud. n”
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- “data”: {
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“<pre style="white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,’DejaVu Sans Mono’,consolas,’Courier New’,monospace"><span style="color: #7fbfbf; text-decoration-color: #7fbfbf">13:20:22 EDT </span>status = preprocess n”, “</pre>n”
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“u001b[2;36m13:20:22 EDTu001b[0mu001b[2;36m u001b[0mstatus = preprocess n”
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- “data”: {
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“<pre style="white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,’DejaVu Sans Mono’,consolas,’Courier New’,monospace"><span style="color: #7fbfbf; text-decoration-color: #7fbfbf">13:20:25 EDT </span>Maximum FlexCredit cost: <span style="color: #008080; text-decoration-color: #008080; font-weight: bold">0.038</span>. Use <span style="color: #008000; text-decoration-color: #008000">’web.real_cost(task_id)’</span> to getn”, “<span style="color: #7fbfbf; text-decoration-color: #7fbfbf"> </span>the billed FlexCredit cost after a simulation run. n”, “</pre>n”
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“u001b[2;36m13:20:25 EDTu001b[0mu001b[2;36m u001b[0mMaximum FlexCredit cost: u001b[1;36m0.038u001b[0m. Use u001b[32m’web.real_costu001b[0mu001b[32m(u001b[0mu001b[32mtask_idu001b[0mu001b[32m)u001b[0mu001b[32m’u001b[0m to getn”, “u001b[2;36m u001b[0mthe billed FlexCredit cost after a simulation run. n”
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“u001b[2;36m u001b[0mu001b[2;36m u001b[0mstarting up solver n”
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“u001b[2;36m u001b[0mu001b[2;36m u001b[0mrunning solver n”
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“<pre style="white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,’DejaVu Sans Mono’,consolas,’Courier New’,monospace"><span style="color: #7fbfbf; text-decoration-color: #7fbfbf">13:20:31 EDT </span>early shutoff detected at <span style="color: #008080; text-decoration-color: #008080; font-weight: bold">16</span>%, exiting. n”, “</pre>n”
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“name”: “stdout”, “output_type”: “stream”, “text”: [
“(640, 320)n”
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], “source”: [
“val, grad = grad_fn(params0, beta=beta, verbose=True)n”, “print(grad.shape)”
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“cell_type”: “code”, “execution_count”: 22, “id”: “ecd26376-0dda-4faa-a6b2-756a7a39464b”, “metadata”: {}, “outputs”: [
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“cell_type”: “markdown”, “id”: “c58fb201-c09d-4a1e-b2f1-84f18b50dd89”, “metadata”: {}, “source”: [
“## Optimizationn”, “n”, “Now that we have a function to compute our gradient, we can use an open source gradient-based optimizer to perform inverse design of our device.n”, “n”, “In this case, we use the optax package to implement the "adam" optimization algorithm, which performs gradient-ascent with some extra terms to improve the performance and convergence.”
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“cell_type”: “code”, “execution_count”: 23, “id”: “79db1fe8-5f6e-422e-b55f-f902f8817d61”, “metadata”: {}, “outputs”: [
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“step = 1n”, “tbeta = 1.0000e+00n”, “tJ = -1.1031e+00n”, “tgrad_norm = 2.6938e-02n”
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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 2n”, “tbeta = 2.4412e+00n”, “tJ = -9.3950e-01n”, “tgrad_norm = 3.2958e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 3n”, “tbeta = 3.8824e+00n”, “tJ = -9.2553e-01n”, “tgrad_norm = 3.6470e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 4n”, “tbeta = 5.3235e+00n”, “tJ = -5.6456e-01n”, “tgrad_norm = 4.7396e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 5n”, “tbeta = 6.7647e+00n”, “tJ = -4.2836e-01n”, “tgrad_norm = 3.2926e-02n”
]
}, {
- “data”: {
“image/png”: 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5HO3t7XjooYfQ29uL7u5udHV1oaWlBRaLBSqV6r50shSvlP5dVOxqvt8DpSCFTJ1CoeCUM+G/4hdBYZS9SiaTSCQSSCaT7Mul02km0ogQ20Z49UYBU7XfxaC0lrJKx6nalk1uos1mw7Fjx/Dtb38bwWCwAqMVhcYgGo1idnYWqVQK7e3taGxsRDAYxMLCAhKJBAf0c3Nz+PnPfw6v14v9+/fjzJkzaGtrg91u32RW7krdykuRMSmuXC6HWq2GxWKBy+WCzWZjFyKRSEAmk8FsNkOlUiGXy2F8fBwXL15EIBBAqVSCXq/Ho48+io985CNobm5m66xSqSomVHTqSZFoQZCFExGDjaTW1luv0D3J5XJWXnKfyMenbTIUCjE0GIvFUCgUmAFHPJByuYyVlRU4nc4Kyyu9583gPulra+HY4jOIQmMnjqE0yeDxeHD48GHMzMwwOlQtiKPni0Qi/H+TyYTm5mao1WqkUikOvmdnZzE8PIyxsTG8++67eOedd/DII4/gi1/8Yh2zsUXLS5GxTCaDxWJhBldzczMcDgdvB8VikTFRi8WCWCyGUCjED0TvHxoawu7du2EwGPjBRZyUvtN2VCqV2KcUMzLSwZdaYKk8qBUmIRcgnU6zdY1Go1hfX8fa2hrW1tYQDAaxtraGUCiEeDzOgSm5EcBdy1MsFmEwGNDX13cfRVME7jdTSOn/xHEQCTjkV0utvHQnk+50JpMJv/M7vwO1Wo0LFy4wBl4NHSiX76aiY7EYFAoF/H4/2tvb0dLSgnK5zDyNtbU1ZDIZhhPfffddXL169VevvDTg5K+dPn0au3bt4olxOp2wWCxoaGhANpuFTCbjNGU6nYbVakVzczNisRhUKhUGBgbQ398Pq9UKjUYD4B79j34WFZSsHCmw6AuLSl9tUqRSLWipR5nJqhDjze/3w+/3s8Kurq6ypU0mk4jH40gkEshmsxVwEv1MaeGbN2/i13/913H48GG4XC5GKyiDRkES0ThpQQP34EXaraoptLhgyCeXBoOiwlYbM6VSid27d6O9vR3T09N48cUX8Z3vfAeRSKTmDkAKTJg2BaoEF+p0Ohw8eBAAMDMzw0SkeqVu5TUajdDr9di3bx8+/vGP4/Dhw8hms7h69SoCgQATRXQ6Hd9cLpeD1+tFKBRiri1ZTbfbje7u7go3QXQHpFuSQqHg/4kTQd8LhQL72OIg1qOUG0XgNBHZbBaRSIRToWNjY5iamuI0N/m2mUyGXQqKvDcihFPE/d5776Gvrw+PPvooDh06BKfTiXK5jEgkwnGExWKpsM6E5qhUKt6RRKFxFa2u6N9u5kZJXQ0i/A8NDSGdTmN8fBzXr19nHLiaEmcyGfj9fkxPT8PhcFTs3oODg/jQhz6EXC6Ha9eu4fvf/z7GxsY2nS+SupX3s5/9LFwuFw4dOoTu7m4olUqEQiEYDAaEQiHOnpEVoFTr7du3USgU8Pjjj+ORRx6BXq9nyyFu/9UCLJGMQlZH/Juo7KTA0i1Ret3NoCJp0EML8NKlS7h+/ToWFxexvLyMlZUVRl1Ev1w6ibUmVfw5l8shGAwiHA5jZGQE3/3ud+FyuaDT6QDcTQi5XC60trbCYrFAp9PBYDDAZDIxn0Gr1TIdksZITC/TvEiDROk4VRsHcXwaGu6mlNvb23Hq1CkAQCAQQDgcRjQarWCm0bisr6/j6tWriMfj6OzshNPpRF9fH+O/arUaAwMDOHnyJEZHRzdXxv8rdSvvH/zBHwAAb2lkUQiTpHIdAuppi83lcrBYLOju7obNZuPAhLZPGmjRSpbL9/i+tNWQAos+lkwm4/dTtov+T9cWJ4yuLX629HOJ50Cw2OzsLF5//XWcO3cOgUCAiTDSgKVasFRLqrk09NlkwRcWFhjhaGxshMlkgtVq5eCnvb0dbrcbJpOJkztE+ifc3Wg0wmAwsBKLzDjxXkSkoRoUKXUpaN5Pnz6NAwcOIBaL4fLly/jhD38Ir9fLOyNdI5/PIxQKYWRkBMvLy+jr64Pdbmd/F7i7i7jdbjidzk3Hj6Ru5dVqtQgEArh58yb7s6QoRqOxgqhjNBp5gA8ePAiFQgGXy1URUJHVpAcgUF8ulzOzizgUer2et0vxGjTghUKB/UrgLqdiZWUFKysryGQyUKvVnBFMpVIcMJBy0/0olUp2YwqFAiKRCO7cuYOJiQkkEokNU6TSiRZFavnpPbV2AVpU9FzpdJr5ESKfwWazsdV1OBzweDzQ6/XMwuvr62PMvZbibgTRiXEHWXSKPdRqNfr6+jAwMIBCoYCOjg74fD5EIhEkEgmeC3o+4kAEg0HGzxsaGmC1WlEsFtHU1IS9e/eiubl5Y0UUpG7lXVpawttvv4033ngD5XIZu3btQn9/P2w2G5PCiWJns9kqCNEUdMTjcU5eAHfZ9Gtra5ifn0cmk4HZbIbBYEA2m8XS0hJCoRDMZjM6OjrQ3NwMrVZ7H0e1VCohkUgweT2ZTGJ+fh6XL1/GzZs3EY1GK6yryCUQS4SIsUUVGQSHZTIZOBwO6HQ6xGIxrK+vIxKJMC+BvkTZCG+uhlWLUgtJEDnGxI3wer38Ghp/cin27dvH80HcapEMU+1eRSFFFd9Dn18ulytKqQqFAoxGI9xuN1wuF6LRKMc9NE40V0TiOX/+PG7dusXz19TUhOeffx5PP/00Ojs769LJupX3rbfewjvvvIPJyUkolUrOltjtdp5w4pKSktHAyGQyBAIBzMzMALhbymMwGJBOpzEyMoKLFy8iGAxynj+TyWBpaQnRaBQmkwk7duxAb28vbDYbdDodjEYjzGYzlEolUqkU17iRAs/Pz8Pn8zEPQZwo+i6mrsnqE3KSz+c5jalWq2G1WiGXyxGPx7G8vMwWhqCyaoQS8bPExSZSHUXkQVTSaoovEoNIkch1A+4mP6LRKBoaGqBSqRCPx5nh1tHRAaPRyOSYarEA3QOhEFRuRFXaZISy2SxXrpBiFwoFxGIx6PV6HDlyhBfM4uIiLly4gKWlJUaKyuW7aeFsNov19XXmJcdiMbz66qsol8v43Oc+96tV3uHhYeRyOfazuru74XA4GOMlZaIAgXydfD6PSCSCsbExvPHGGwgEAjCZTGhpaUGxWMTt27cxNTWFeDzOfi1hqET8uXr1KrRabQXjrKWlBSaTCbFYDPPz8wgGg+yLihUQ1US0NgSzUbBHfjuhFxRY0s9kjURkYyNfVxoUKRQK5v5SsCYSWug69KwkRCUlxp4UwRADtWKxCK/Xy2XnPT098Hg8sNvtDF/SPIkpf0oJ0zjk83m0t7ejtbUVcrkckUgEDQ13qZmk5FRHt7y8jK6uLpw6dQputxuFQgE3btzA2toawuEw4vF4RQqd7psyljKZDIuLi/jRj370q1feSCQCjUYDu90Op9OJnp4etLe3w+l0ct5a5MVSlUQikUAoFML09DTu3LmDxcVFlEol3spisRgikQhvR+KD0USmUikmhZMiUCBGgU41EL+WiEGb6EPTVicSwwGwdUgkElhfX0csFmNXSKwro+vQd6llE7+LP4v+thikka9KsBvV/lGKniim1Z4vl8thZWWFezwQ1GY2m6FWq3ncMpkMX7NcLnNbgEwmAwDo6urCwYMHYbVakUqlsGPHDjgcDv6ceDyO6elpFAoFHDp0CB0dHVAoFBxzRKNRKJVK6PV6KJVK3pWz2SzK5TIH+BSgLy0t1aeQ2ILyJhKJCv+mXC4zmwoAW0l67fj4OMbGxniLWFhY4GrVdDrNE0yIhLh9VlM86aSLeC/JRokJ6evE7Ziei0B1smDEoxUJ9KJVFxVSVCIirEuRFbpvClJpcZDi0hcR/Cn4ot2E5kD6edIdhhY3Ve6SAVleXuZ7kmLQdH9ifZ5cLsf6+jrC4TCT7QmrJcVfWlrC+vo6urq60N7ezkmp0dFR/PznP8fy8jIUCgUsFgt6enrQ19eHhoYG3LlzB8vLyxWUg1qciVqypRo2AuADgQC8Xi+ampp44AltoFX3zjvvYHh4GIlEggc4l8tVbFekRCIziwZf/NytSrX317JQIlRHrgptcWRVRfLNRlad/Gir1YrW1lZYrVbkcjmEw2Gsr68zIZ8Uh/gaND7AvQpdrVYLo9HI7ko2m+VEDfGOxfJ2ei89KzH6aKzz+TxSqRR/llhuJL6PfFyNRgO9Xg+3242+vj60trbCbrfD4XAgn89zMUEymUR7ezs6OjrQ2NiIXC6HiYkJfO9738PU1BQAwGazwel0wuPxQKVSMRpBbhQ9D31+vVK38g4ODvL2XiwWMTY2hqWlJZhMJvZRqXSlWCxidnYWc3NzrLxqtRoajYatNllfhULBpG5RUSg4EYsQ6xEpXrkZdEUKSZacrEC1r1qfR9s+0UL37NnDpfmZTIZ5DvS1srKCYDDIJUalUomLWcm6k1JRrRdwNzVvNBqhVCphNBorKjLEiRf9fRo/ij/EBSgGkXK5HBqNBs3Nzejq6oLL5WL3kDB6Kvsql8tcFUKl91qtlhM6b7zxBqampmAwGOB2u+FwOFAu32UWTk5OIhwOc6BLpfR2u52Rq3qlbuV9+umncefOHczOznJO3+v18nZGAY5er4der+fVSau9oaEBLS0tsNvtiMVi8Pv93LaoubkZLS0tUCgUvM2RSxCPx+H1erG2tsaKVa9Us7aiVPNDN/q79NpiAGY2m+HxeLBnzx5ua9TY2IhCoYDu7m6+XiwWw9TUFC5duoSpqSlmnGUyGWQyGbaa8Xgca2trDOcRXktKRtCYVqtlxafPo4oPck/EZiXShUiLu7GxEZ2dnXjyySdx8OBBNDc3M3Ik1sZRIC4iERqNBuXy3R5lk5OT8Pl8cDgc6O3txZ49e1Aul3Hx4kXMzc1hdXWVg2NCeQCwEre1tdU9v3Urr9VqxeLiIlKpFGQyGRwOB3K5HObn5xGJRJDJZKBQKJhlRckG2ppUKhVcLheOHj0KlUrFfQqUSiX6+/uxZ88eRg/W19fR2NjICj09PY1XX30Vly9fZosl9TulireZ1HrdZqgBcI8MQ9bWarWira0Nu3fv5opiqjwht4iQGAAYGhrC0NAQrl69iuHhYczMzGB9fR2ZTIZdhFQqhXA4zBg0VWPodDoolcqKag3yr+VyOcN3FHwSOlFLcan/w+7du/H888/j5MmTaGpqYneDSDy0vYvBqZjUyefziMViiEajPB5DQ0Nwu92YmZlhiDGRSEChUMBgMHA6OxAIIBAIYHJyEhaLhbO5m0ndyvvDH/4Qy8vLCIVC/LDNzc24cOECFhcX2ZejwSfYhwB0vV4Pj8eDwcFB2O127Nmzh1n57e3taGtrQ2NjI1ts2hqVSiX27NmD48ePY2ZmBvPz85idncWFCxdw9epVRKPRCr91M8WTvq7e4E7MUBEaQIrb2dmJffv2Me/DYDCw4kopiOVymUuGSOGvXLmCGzduMLZN9FNikzU0NCAejyMajbIlJstLvillEcvlMkNsom8tVVy5XA6Hw4GDBw/i6NGjOHLkCPr6+hgqI8SCrCRdU0ytU9peXHANDQ1oamqC0WiEXC6H3+/H9evXcfv2ba5AKZVKHMhTMCpChvVK3cr79a9/nVcpURk7OzsRCARgMBg4SicIB7gHAVFqlkpozGZzhRUhsglhfkRWptVO9WIOhwNHjx5lSOVrX/savv71ryMYDFa1wNKBkPq/9Siu2JyPnkWr1aKpqQkOhwNtbW3o7+/H3r170dXVBYPBUMG5qMarEP1krVYLm82Gnp6eisXp8/kQj8cr2paSNaVOlwC4dSuV3VP1MrWQqvaMcrkcXV1d+OxnP4snn3wSdrudsV/xXgnpoC2e7oPcELqfQqGAaDTKWVEi5k9NTWF6ehrnz5+H3++vyNhRur2euKKW1K28wWAQDQ0NjNu53W5uF0QZN6LGicEVPXAsFsPNmzcBADt27IDT6YTVauUVKg6e1FJJM0I0+H/yJ3+CfD6Pb3zjG1hfX6/4XPE9YjEkWbRaJdaipaUONWQpzWYznE4nurq6GPi3Wq2cViaLS4uYAhLaWun6Ui6yy+WCVqtFW1sbQqEQ7ty5g6tXr+LmzZvM2BMhLVICnU6HlpYWtLW1cdJGpVIhGo3Cbrfj8uXLWFxcZJ+Yxs9qteITn/gEV7FIU9bA3dQ9uTKEDedyOSwvL2NhYYF3V5rb1dVVBINBlEolDu5WVlYwOTmJtbU1NDQ0sN+ezWYr+A/S8a9X6lZeqnalXPT09DSWlpbg9/tRLpdhs9l4RdG2RxAIFTFms1nMz88z1hmJRNj/6e7uhtvtZtyYVj75d9WsqNPpxOc+9zm4XC68++67CAaD3OdMoVBAq9XCYrFwxKtQKODz+TAyMoK5ubmKrI/YUZIUllKqFFTu3LkTu3btQnt7O5c4UUJmeXkZ0WgUMpkMfr8fY2NjiMfj6Ovrw549e7i4UPp5jY2NXGxqtVrhdDrR0tICm80Gl8vF2cN4PI5cLgeVSsX9EIhf4nQ6odfrodVqoVKpUCqVcPz4cTz++OOYmJjgCpZIJIJwOAy73Y5du3ahUCggFAqx9aTMXzabxezsLC5fvox8Po99+/bB7XZjfX0dN27cgNfr5RIwuVyOUCiEUCgEpVLJld9k6Ox2O1tostqrq6tsyUlo3MVWYZtJ3V0iDx48CJPJBI/HwyXMq6ur3FDE4/Ggs7MT8XgcExMT3KyjpaUF+/fvh9PpZP9Gr9fD6XRCq9UykdtqtaKjowNms5n9XioXIkWhhyUgn6wcdZskH08MEmlbpUEhnvHIyAimpqaQSCTYXSG3gvxto9HIETUB9JS3z2azCAQCGBsbw8WLF7G4uAjgLjTl8/mwsrKCfD4Pq9WKvXv3or+/n90hh8OBXbt2MdOOtmYyEPF4nJvt0fZMKVyVSgWn04n29nY4HA6+R/LHRQtK+C6hGWTRA4EAzGYzzGYzl6hTDwm9Xo9UKoXbt29jYWEBMpkMPT09cLvd3EBFrVbD4/HA7XZzXVqxWERzczPX4wWDQfj9fhQKBS4P8/l8GB8f5+pxKp+SyWS8g1itVvzXf/3Xr1Z5X3zxRd4qlUol1tfXsbCwgEAgwNt4d3c3FAoFAoEALl26hImJCbS2tmJoaIgHhSoPKIMUj8cxOzuLSCSCpqYmNDc3s0XI5/Mwm82wWq2Md9KKF/1kCqBqdTuXbom0iCh7JiW/kNUXidti9cH6+jquXbuGN954A+fPn4fX6+V0J11fTDqQYtL2rNfrsXfvXnz4wx9mbmtzczP3biBlExM/IvmHCEXSXmYixk1C91QoFODz+XDu3DmMjY0hGAxyultEi8jPTafTTMKh1K5cLofNZsOOHTvQ3d3NSaqGhgZuYWAwGHj+crkcmpqamNgUiUQwMzODfD6P5uZmzryWy2W0trbCaDRymrke2RLOS03caMsvl8vc6sntdjM5hwjTBw4c4EJMarhHVoUiaSrEm56eZsKPRqNhhhgpq1arZQtI8A1F7lR1LJ04qZDykY9N5BhRaiU0yN+MRCL4xS9+gf/8z//E+Pg4V9LWuobIgSVJJBJcUvTYY4/h6NGj3FxFXIwAKjJg1ZIL0s/dKEgVKZXxeByhUIgzf4SrU1BJqIVIDZXL5YwAUWofACcviI9B5UIymYyZgMTzttvtkMlk7B4eOnSIP4vGuF6pW3lpcAkW8fv9uHPnDrP8RWtDzUTIStONEcPM5/MBuMcd8Pl8HF2bzWaYTCbE43GmzBGfghRYJMSIrUC3ItWs1EZCAxsOh/Hmm29iZGTkvqCjnmuRImWzWSwuLuLmzZvo6empgMVEmFH8EiPyavCfNMiV/p9K9GnMxKoRaUBIGTuaPzFrRwEpkXekfdMo1qFFKAbgROASdzTxebbi826J2yCVrSqA9L1S5tUHRX6V9/3/8vm38lnv5762Ake+H6lbeaPRKHNqGxsb4XQ6OUoVGywDYPhkeXmZe3TlcjnGdD0eD/tP6XSaYTeCnBobGznvr1aruSqZUpHk7xHPVvzseqUWtriR2wDcJZl86EMfgs/nw+joaFW3YSMhxVer1Whvb8fAwAAfEwXcI+jQ9i2Sx8X7rVbSU+1n8W/S5tTkT5NlBe7RP+leRHeHPo+CYWmTGHpPuVzmWj+iWFJgSm2+yG0QGy0Cd3VH5HNsJHUr749//GP09PSgtbW1ohCSqkap6Z5SqcTq6ip++ctfYnx8HO3t7RUBWzqdZsqfTqdDqVSC3W7n9potLS0Ms1mtVj5ngXxA8oGpclYKpW20Q1Tz/aoFbKQ00pIjIso89thjMBgMHLARllorYKNxoc8xGAzYu3cvzpw5gx07dnD/LkIIyMckvojIKaAxoIyaiBlXU1ppVk2kXNK9ic0SSZEpYCsWi4zYUOBJaX9K2og0T0pIUcCWzWa53f/6+jqmp6fvC9hKpRLa2tq4FvLw4cN16eSWoDJiCXV0dECr1WJtbQ2Li4tIJpP890QigYmJCUxPTyOZTMLhcGBoaAhOp5OhG4PBwMA8Neiw2WwbQmWU+gTA8BVF4VSsSdengI6gMhH/JA7qjRs3MDk5yfBTNfYWHTRIPSkosUJQ2draGiYmJjhFTnwAr9fLUJnNZsPevXsxMDDApewOhwODg4NwOp0cR0ihMmpgQhZMCpV1dHRUQGXkV4rBHSVkqPB0fn4eV65cwdraGo8r9VVIJBIcXCcSCUxOTmJubg5yuZwxeArUCSpzuVzQaDTci42qalQqFYLBII9BY2MjisUilpeXMT4+jsXFRS4qjcViTNpqbW2FzWbDSy+99KtVXq1WyxbJ4XBgx44dUKvV3DGGrI3YNJmiSqvVCoPBwK0s29ra0NHRwW3fqyUpSAE3SlIUi0UsLS3h5Zdfxrvvvsvtg+g+6fOcTidcLhfkcjl8Ph/GxsaYrknZKoK06DOJCEN1eS0tLdi5cycGBwd5kdGkUOBGUfXKygojEX19fdi9ezefjCQmKWh7JZI+WapAIIDbt29jbGyMz+8gLjDtUN3d3RgcHORu5tSdnu4pGAxiYmIC4+Pj9yUpWlpa8NGPfhSHDx9mF40srEqlQiaT4SJWSlK4XK77khRUah8KhbC2tobGxkZ4PB54PB7IZDLMzs7ixo0b3HCckhSBQACRSKSiGFasJolGo3Upb91uA5WcyGQy6PV67NixA62trbh9+zbeeecdBIPBCtodAJ4cGjyz2Yzu7m7uIk5KTeeoUcGg+ECkqFIh0Puf//mf8c1vfrOisZuo4KSUIitKZFlJRXQRyL/XaDTwer2YnZ3FtWvXKtLDxEF1OBzMK/B4PNi9e3cFbZB8VpGvTKXt8XgckUgEkUgEwWDwvvSweMiMXC5HOBzmzj3Dw8NcXS2mh8fHx3HlyhXGoMVnoz4aR44c4WMDRPcIAJqbm9Hb24tsNst1b7lcDna7vSI9XCqVYLFYYDAY+Bguwuep1P3OnTtcBUKNF6WVKIR+0L3WI3Urr91uZ2JOT08PV/QSk58snqh0okUzmUzYtWsXTp06hba2tgoGlNiXgR5EimWK+GM+n8fi4iK++tWv4lvf+hYfoFdNRDK2NOipJvR/kRBPz0dB6OTkJGw2G2eF+vv7MTQ0hK6uLi7dEQ/HEyeJno8I/LFYDD6fD9PT00zgn52dxfLyckWDPhpPCk7L5btVuGtrayiXy7ydFwoFrK6uYn5+HsvLy5z9Ep87m83iO9/5Dpqbm/HUU09xB0fynwlvtlgsHGjT4nc6nazIYlIjGo1iYWGBm4ZnMhlYrVbs3LmTaxnT6TRzlsVC3Qcl59StvL/3e7/HlEiVSoVQKAS5XM6Vv5SSJdNPNybm8YngQmRrkRJJzTSIDUXJDgoAgsEgpqenMT8/jzt37uDChQsYHh5GLBbbMEiTKqb0NZspsqj86XQaMpmMOcd0IAydn3bo0CH09PQwrVB8djFoJAI/cVivXr2KkZEReL1eLqkXudAiDVNMypAPLfJEUqkUVldX+TjXWrvW/Pw8/v7v/x4///nPceTIERw5cgT9/f1MlKJnF40JAMZw6TvtKnT8AHEwiGjU29sLg8GAV155BYuLi8w7Ib4zBc8Uq2xF6lbeZ555BiMjI6ww4+PjFUQbWp10WLVCoeCIlXzhpaUl5j3Mzc3dR0Y3Go2cnGhsbGQUYmpqCj/5yU/wy1/+8r4TzkXl2wwuEv+3Edgv/V20mAAY7CeyN1Uck0/Z2dl5H6dXTNZEIhFMTU3hypUrGB4exuzsbAUZHbjXZ0wMPIkoJJLRATA6IZPJmBQFgJEE8d5FRMTv9+OnP/0p3nvvPezevRuf/OQn8cQTT6CpqYldLIo9RDojWVsxE0c0zXK5zIGmy+WCy+XC/v37cevWLT7RlEq/xIpzAMyPrle2RInMZrPQaDSIRCLcaK5YLMJsNqNYLFYEOgT5UOlOLpeDz+fD2bNnmUJHrZgo+ifLQZUAwL0yIPL9NttWNsrvV3tdtb+L23y1a9DEkf9M/NVkMsmuAJUBkYtA14jFYpicnMTly5cxPT3NBG0ADKlRhQaRzIl8TuQhupYIaZE/KRLF6SAaSuVKFZiuEY1Gcf36dTYwhw4d4hiEyoAIyxezd+SKkZtE2dFwOIzbt28jEolgz549AACn0wm3241AIMBWNpPJcDDc2tqKzs5OtLe3bzi/otStvK+++iqi0SjjmRaLBZ2dnTCbzWyFxAJMOgmGBqqxsZFz+tFotKIAMxgMYmRk5L6CywcpwCTZKMsjVXApqaWaH1bLIlPwR9Y3Go0iGo3yWWnE3aBG04FAACsrK0xFLJfLbFkJu9XpdNw4T4TwSFlJYemYBfIjyS+lVDPthCTkipDFFOOKQqGA2dlZvPLKK7h27Ro3vevp6UFPT09FASbtCNTOqVwuw2AwwGg0YufOnRgZGcHY2Bi8Xi+mpqbQ0tIC4G4PCKPRyHwKsuoAmCpZ7cCWWlI3VHbs2DGGahwOB/r6+rB//350dHTcV/q+urqKs2fPYnh4GMlkkgeeziMTS5+pcrZWh5utOPAb+bnVoDaaONGvFIMQKXdio9J3skDEy/V4PLBYLCgUClz6nkwm2QKKpe+NjY3c0ZFKpigRQwmhbDZb4ZpQwodq1Mg/pucSaZ6EFYvBqKjA0tJ3apdKpe/9/f1c+k5l8AqFAtFoFF6vF3K5nA1ZoVDA2NgY/u3f/g0XL17k3sJutxudnZ2w2WyIx+NYWFhgZaX7obG4dOlSXfNdt+UVCw7tdjtaW1vZpyHKHA0CtQNyOBy8lS4uLrJ1pesRViv6TxtlyuqVau+t5huLkBgxzQgvBcC1VVQ2Tr26xPsVlVkkW4fD4YoaL3q9WBpFAZE4dkR6oXowyniJRZl0+CIpZTWIkIJmujZZdUpDi21apVRQokSSYikUCsTjcZhMJpjNZnR1dTFVIBKJYHJyEgAwMDAAjUaDgYEBfOxjH0MoFMLY2BjW19c5W0g+u9gJiMa4WCxW+MCbSd3KSxE01Z6Vy/eqJggeoi1Ar9cz2Zq6tchkMszMzDAvgfpTkc8nbhfVtmopY0paV7UZR6HW/0SrS+1UrVZrBfmdJjSRSDCtkyweZbCq+cR0cEq1FHNjY2MFd4DiAiltkf4ntnsiC14Lr6YdTSaTsd8qbfdESksQoHiy6Ubtnmg3kMvvHtTd2tqKtbU1zM7OQqvV8rFce/bswcmTJ7msaWVlBeFwGBMTE5DL5RXdJmmRizpUj9StvGazGYFAgK1KoVBgJaT0qUiOJguWy+VgtVoRCoUwNzcHo9HIjfYKhcJ9jfbI0oilRGLnScrIEShP+OLa2hrTJOtptCcmL+g7PQ+dJVcN3vP7/cw1ptN/xCNoRRF3kmosOpFTIRauAqiA2Agt2KzRnnhdSiPv2rUL3d3d3GiPTuokvFhstEfGiVyCQqGAtra2+xrtia6YXq9Hb28vIpEItyagRns0R5TuJw6xSJsUD/o2mUxwuVz1qmT9yrtv3z6cPXsWfr8fwWAQSqWSu5yo1WpGImilkzJQELFr1y4ug2lqaoLBYEAqlcLo6CguXLiAYDAIg8EAi8WCdDp9X4vTnp4ePm2SWtpTEDg5OYnR0VFu7LawsIClpSX2raV+L61ywilpUdC1yfcU66rEwlDRZxUDn42E7oEsKG3J4jVEn1R6TTELJX0W0aqT39ja2opTp07hiSeeQHt7O4+X2N2y2j2L3OtCocAZQgCcOqb7ICWk2rvh4WGcP3+erfvS0hJzXMT7Fv1zsSK6tbUVTz/9dL0qWb/ynjp1ildquVxGd3c3mpubUSqVEAgEEIvFuJkxnUBO0EqpVEJzczOftyYy8S0WC9rb25HNZrkkPpvNMjxmMpkqmkuLpTm0PbrdbgwODjKKMT8/z2VIVJJPE0YWWaT1kctgMpm41zAxrRKJBBdA0hlrsViMEwm1iPDiVi6taharFqRbvkiJpNfTd/qbuGvQ/2jHoPL3PXv24MSJExgYGOCeZ1KOiKjw9Dt9DiUQxLEmJSblputR5jWRSODixYuIxWIVTU+IuScmW6gJOWUKbTYbnn766f8Z5fV4PDhz5gx27drFJR3FYpG7CFK1A5FLNBpNxVlcbW1tXG0qZt+oQQUFMlQ54XQ6kUql2A8Vy8fFgS6VStzWnk5O3LFjB4aGhuD3+7nilgIkwmMpeULXEV0Hugdq60+tWam1qFjoSZNZC5qrhUxslAqVBq6iX06ujNVqRVNTE+OwDocDra2tTA5qbm7mY7FEvnM1t6UaNl6tmoO2elJMMcCLRCLwer3w+/0VllYaX6jVajgcDjz00EN46KGHYLVauVx+z549dZ9+CWzxEEGdTod9+/bxCiQIiFK0FMjF43H4fD7MzMzg5s2bsFqtePbZZ2EymSqsMYHp4onnwD0kgvwh0WKIvqXI0hJb1xuNRlitVvT29vKk02SI2TJpCQ/9nZQzlUphdnaWn5VaXYkWSpz0WgpZK5ispdhSf5xq96jwtKmpCR0dHfB4PAyxSQ9UIR9SHG9x3KT3IRoU6etEBRbhzbm5OQSDQUQiEVy5cgXXrl27rxs9vZ8WXVNTE3p6erB//3489thj3CmJ5lz63o2kbuX96le/CpfLhcOHD6Onp4f9QCo7p1NpKEVIg06c3dnZWQ4YSHGJzyBaBhpAqW9GETdhoyLhBUBFT9l6giSpVIPoyuUy5+cPHz6M4eFhJryIR1lJEyq1XAbxutU+Xya720ikubmZD0cB7pLPpUdZkdJSmpWyYFSxQGNIykvBr+hqiPdSzW+vNlZ0n8lkEm+88QbeeustrK6ushGTBq50HzabDX19fejs7OQWAmS4iFC0tLSE0dFRPPvss1Xn6L57qTdJYbFYuGT7ueeew8MPP4xsNotr164hEAhw+k88RJC+09GtwD2r6vF4cODAAbhcLvaBpSA6CaVYRaK5aI1p4KWVDxtNwEa/i3+je8pms9zdcmZmBuPj45iamuLTHen0RjGgkQZ2omUWlUahuHs6Tn9/Px8iSG1BqSydOvaI/SXIVyfCvBRmorEQAyyxbEpMUlRb6OLYkpTLd/s0X7x4EX/zN3+D69ev30dxFN9L5V4HDx7EsWPH+HDEhoYGdm3oMMof/OAHGBsb4wLdzWRLB2dT2frExAQf30rWJ5fLcQ8A2raoW41Wq8XVq1fx9ttvIxqNQqVSYd++fTCbzWhqauJBFzMtNKDSrVzcTiseRKK4GyEA9Si0+HdyYSgT5nQ6sXPnTvj9fqysrFQ9vpWUmdK3pMBidkuhuNsx/KGHHsIzzzzDJ1+KhwFSYkRcnOI1RJpkNVcGuOdeSdEMEqm7IH12eg1lSScnJ/Hyyy/j5s2b7PvWGjvyccX2WHQy/MTEBL7//e/jypUruHPnDvfsrVfqVl7CX6nJ3fe+9z2MjIxwA7xi8e7BGmRp9Ho93zz1vQoEAlzec/PmTdy6dQs9PT3ccFoklIiTQcoslmKLllpM8UoHfSsKvJnQPRCSYjQa4fF4kEgkmCYZDAYRCARqHpxNC1Emu9vT4NFHH8Wzzz6L3t7eqgdnE9lJ6s6IVlyqiOLf6WeCwGgsq42FdCcTr5HP5zE6OorvfOc7OH/+PKanpzekozY0NHA5VUtLC7uLROahTjvXrl3DzZs3mR9MrlI9Urfy6nQ6pFIp3iLW19cxPj4On8/HZT1UT0WpyVgsxn0WqOKArFAkEsHw8DA6Oztht9sZtqKDtMUBpNQtbUO05Unz81txB96PkPWnbBRBhNT2npSYenhRFlEs/QGAtrY2PPHEE+jq6uLnk/rn1axirYCvmltCi5ssWq0dSbpbSV8TjUbx4osv4lvf+hbi8XhNiJDeS4rrcDjgdDq5WQnNJdEMqHSJzrU+cuRIfZOAB0gPE1xEvg81WKOmIGIQAYBX1O7du7G+vo5z585hbW0NyWQS586dQyaTQW9vL7eP1+v1TFgmEbNNNKgiv1S0Jhu58O9XcUWkArjXwpUIOdSzlzoGUT8uaoEPgMcsk8nA4/GgpaWl4hyGatmyWs+xEYohVeJqUJkIhUljBVFKpRK8Xi8uX77MQVmtcabdiXq7tba2wuFwcKkXQaPA3V1o37593F3p9OnTaG1trTn+UqlbeUUSNBUDAmDFdTgcfFIkFfJRdS9wt63mvn37EAqFcPXqVeaOhkIhXLlyBQcOHMCv/dqvsdWmyl1pUkIcdOB+S1LLl3tQxRX9VEpzkiUlxSVlIb+U+B/Avd4H5C5EIhEolUr4fL6qBJ9q9ytu/6Js5LdWs9obLYRq/yM/NxwO4xe/+AUWFhY2VVzi9XZ3d6Ozs5N7lTU1NaG9vZ37chAp58SJE9Dr9ejv7+c8QL2ypYCNoI2GhgZWXpPJxG08TSYTw0YUcFCWhdwNj8eDQCCA+fl5VgTKradSKXi9Xm6T2dPTA4fDwbgyDSiJ1C/bSKq9b7PXF4v3mqcEAgEsLy9jbm4Ofr+fuQOU+aMqAIPBUHGqJgH7Yr+vTCYDr9cLr9fLZfQmk4n9durWKE5kNf+2lmwWfNbzHirBv337Nt58801897vfrTgLr9r7ySVoamrCjh070NXVxe5BR0cHWlpamCJQLpfR1NSEnTt3cnf3euZRlLqVN5lM8vYi1qqRL0OtLKmZBfFP0+k0H1adTCZhNpsxNDQEnU7Hrd6pRu3cuXO4desWzGYz2tvbcebMGTz11FOw2+33PVi9lnQjn7FWoFMqlfjwvddeew1XrlzBysoKk3Ao52+327Fjxw709fWhu7ub/XYp243SzKFQCEtLSxgeHsbY2BhisRiuXLnCZfQ0tm1tbThz5gweeughaDQatlKUWq3VZGUzn7+eXYh2mvX1dfzkJz/BSy+9xLRGkTgkva6UE00og9vthtvtRmtra0XZT0NDA2cGyQWkHU40VhtJ3crrcrmYOkc+H/Vy8Pl8nAUaHBxkOCQcDsPr9cLn83GEqVarmSRCykAcWYKYFAoF5ufnkUgk4Ha78eijj/KKrSUbrVoxgyT9nb7T9h6LxTA9PY2zZ8/itddew9TUVEUFLn0WNU8hJaZD9qh+T2SBRaNR+P1+zM/PY2ZmBpOTk1zZS/g1pZsJQvvZz36GM2fOYGBggHs6EIeDGnvQ/YjwYa2gq97dplQqIRaL4c0338SXv/xlTExMcCq91riT4orZPJ1Ox3EMnZAqdQmIVkmuUzWseCOpW3n/4i/+AqOjo3j99dcxPz/PE0qMfvLznE4nTCYTyuUyrFYrTCYTN6ImkkYymYRWq4XVauUz2KTE6Hw+j1/+8pf4yle+gnK5jIcffpg5EDRo0oGvNUHSAEb8HbhHSaRuP9///vfx9ttvw+fzMY5Jk0SZw6amJuzfvx/Hjh3Dzp070dzczOdCEIEpm80y8SeXy3HlNW2TACoKJmny6JSl//7v/4bZbGblaGlpwb59+7jEiMjdNpsNTU1NzAGpxWWo9rs4JgRpvvfee/ja1762KY4LVPYfJgPW29uLhx9+GH19fZxJk0KAJHSvUuy5HqlbeT/60Y/i6NGjUCqV+I//+A+u4qVWS9T+h9wI4F5BoVarhd1uZ/iIWgA5nU7EYjEmpYulKmSJ33rrLSwuLuK3f/u38alPfQrNzc1V2fYbKW61CRRdBJF0brPZMDg4iHA4DLVazX2IySUyGAzc2Xz//v3o7OzkBSrm6Om6tOU7HA54PB50d3djfn4eCwsLTPgh9EVs2iKTybj+je6N+LAjIyPsF5N/2d/fj7a2Ns7Cib3R6nETUqkUZmZm8Oqrr+JHP/oRbt26VZfiEt/abrejt7cXQ0NDePzxxzE0NMQLTOpri2NOwfhWKihItoTztra24mMf+xiuXbvGMBdZzJWVFc6siQ9HDjwFNEtLS2xpyVJTunV1dbViiyqX756UOT4+jn/6p39CQ0MD/vAP/xAGg6HuVVpLccWJFSspNBoNnE4njhw5wiR32gZpdyFyDPmq4nYtYtOitddqtTCbzWhra8OBAwcQi8WwsLCAGzdu8DFWlI2jHUrKlaD+xolEgmG5SCTCnAjiNxAqRFIr2BPRhAsXLuDFF1/EhQsXuGxno+CMAjRCCp555hkcP36cucPS7pHiZ1IgT3gwjd9WFbhu5SUYaHBwEJ///OcBAOfOneMDTJaWlvDTn/4UXV1dcDqdFQEIbRsU0Gi1WlbUTCaD9vZ2WCwWXLt2DT6fj68pWuG1tTV8/etfR09PD44fP87Uv42A9Y2epdrPlNGiHmfd3d2sQNKghLa7WtmqarAXjQUtZKfTib6+Pjz88MOYm5vD8vIy1tbWOENH/GQpfZOuSZUfIt0zlUpVdCOSKhCNKblvc3NzePPNN/HKK69gamqKOx9tNHbEECPOwnPPPYdjx45x+/6NUA0SsSeESKbaigLXTcwhIZ9sfHwcX/jCF/D2229zutPtduM3fuM3cPr0aTzyyCPcXI7eR4NGHQKJkUZR+MzMDObm5vi4ViqRpvo2vV6P48eP47nnnsPg4CAsFgvXg4lpY6nSbDVwEe+Xfpa+//0kPMTrUmCXSqUQjUYRCoWwsrLC5UbSmjmxaNNsNsNmszGbj36nhS0mIUScOhKJYHV1FbOzs5iYmOATODeytsC9BAQdknPq1Ck8+uijXJBZS/FEHgb9TsEquVsPMkdbVl6SfD6P119/HS+88AKzgIhRv2PHDnzmM5/Bs88+C51OV2GNRGtK1bmE91LwF4lEsLS0hMnJSdy6dQsLCwvMSrPZbBgYGMDg4CDcbjcz8pubm1mZRaso8nlF67kVJX5Q2SyIFH8m35j6P9AxuESIov5fhEw0NDQwxLiwsIBQKAQArAjiifB0bWpZRRaarLqIdFQT2t4tFgsGBwfx1FNP4eTJk9zqtloXTxJSVCpQIBiMnkPs6bZVeWDlBe4StD//+c/jW9/6FufrSVl6enrwZ3/2Z3jqqacqKiiA+zFVQhfEpnZUfrO0tITbt2/j+vXrDFvRUVjNzc3Q6/Uwm81obW1FV1dXRdM4ioAJGxXTuBsNuFTqSYDUwpKB+mEqWtQinVIsuadSd0JGpqen8e677zIOK+KlBMGJ7pcISYlfGz0fBbEHDhzA8ePH+ZhX6oi5kYtAMcvY2Bimp6fR3d3NfYrpPqRuw1akbp+3mphMJnz2s59FIBDAO++8g1QqxbDT5OQk/vIv/xKvv/46H8gsMobEwIZ8QZo8woMJpWhtbYVer0cwGMT6+jo326DeCEQtpO6VTqezgqRNrgWB5+VyuaJq9f1INddC/L1amraaSMeDEhIiYkEKSRbY7/djbm4O4XC4wlel19fqLyH+vpHiUvnWJz7xCTz99NPcg42KU2spLs1jPB7H+fPn8c1vfhNerxdDQ0P49Kc/jf7+/oqjvR5U3pfyyuVy7N69G1/60pfwxS9+ET/+8Y8ZXikWi1hdXWXq5L/8y7/g5MmTFTVsJKIfKW7t5GPJ5XK0tLSgXC4zLkowHfl2CoUCi4uL8Hq9GBwcRGtrK0wmE6ME1JperCiox314kI1J6hJsNZAUX0+oBcGOhAlTKj2RSPB7yJpJ22RVU97Nnk0mu9vO9Pd///fx8Y9/HC0tLfdxTaTPR58RiURw4cIFvPbaa1xpQeiDz+fDzp0771PcrYwTyQOfBkQfpFAo0NfXh9/8zd/EuXPnsLKyUvEe6oF19uxZHDt2bFPihQhdEQeVcGNpxS5xKOjBibRNNDsKLjOZDPR6PXNJxcNAHmTQ6pFa8NRmUuv1ok9IZTh04r2oUDQu1RRXuqg2EoVCgb179+L06dOc0au1U4nXyufzOH/+PP76r/8ak5OTHGyXy2XOpNZ6zq2O2fvyebdlW/43Zesh3rZsy/8nsq282/KBlW3l3ZYPrGwr77Z8YGVbebflAyvbyrstH1jZVt5t+cDKtvJuywdWtpV3Wz6w8n8Ax1ceAwwJlIAAAAAASUVORK5CYII=”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 6n”, “tbeta = 8.2059e+00n”, “tJ = -3.7891e-01n”, “tgrad_norm = 1.7939e-02n”
]
}, {
- “data”: {
“image/png”: 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OYmRkBCMjI5iamoLNZkMgEEAsFktTdoFAAKvVCplMhmeeeQYVFRXMdci8zp3INXfCSrnxSbbsIHcsFxq/vLw8fOlLXwIAHD16FKOjowiHw4uOTywWg9frxczMDGZnZxlHQyAQIBKJsOCe4NOzZ8/i0qVL9195aVD4fD4MBgO2b9+OlpYWBINBSKVSNDc3o6ysDBKJBMlkEkKhEGq1mv1cWVmJ8vJy2Gw2SKVSbNmyBU1NTZDJZMyJ5zLLuNelSSfMkRZIpnwQiktKGwwGMT8/j/HxcYyOjmJkZATj4+OMj0AuA6V4SXm4z+dyufDSSy/hxo0b+MxnPoMtW7ZAr9czWInS6RQfUBxA/jQpWzbfO1OhuVE9973ZMlzZfs/n81FTU4Pvfve7ePLJJ/GDH/wABw8ezEmBPR4PvF4v+30kEkEwGIRWq8XOnTshlUoxPDyMQCCASCSS81zkzG2Qy+WQy+VobW3FF77wBWzatAmJRAJdXV2wWq2oqamB2WyGXC4H8B4iQXxch8PBsklCoRCVlZWorq6GXC7PmpWi/wNI25oBpJFx2INkEHPutyInk0mEw2F4vV5YLBZ0dXXh0qVLGBwchNVqhcfjQTAYZCleLibMfZZswufzoVar0dLSgp07d2LTpk0wGAwIBoOYnJyE1+tFQUEBSktL2ZZLpBaJRAKJRMIWNBfC5FpUcruyEWGyWeLFrHA8HsfFixfx1a9+FT09PXckl8tkMqxcuRJPPPEEGhoaWABvMBigVCrh8/lw6dIlvPLKK7h69Sqmp6fvPCFYgvL+67/+K8rKyrB+/XqYTCYIBAKWjRoZGYFOp0NlZSXj7obDYdhsNgwPDyMWi2Ht2rUoLi5mwQ65CNkQhWyEGK5V5mLNQPquQO+/7UHvQplp0h0OBy5duoQLFy5gbGwM4+PjmJychMfjSXMHuDDSUlOddI9SqZShGxQ/CAQClJWVoaWlBaWlpcjPz4dGo4FWq4VKpWI4McFNXBch08pmG++FFvxCCpxKpeBwOPDSSy/htddew9zcHEvALBQQ5uXlwWw2o6GhAStWrMC2bduwZs0api/JZBIulwtDQ0PYuHFjbuOVq/KGQiEASMvkRCIRFpzweDxGCiGfZmZmBn19fVCpVNi6dSvy8/MXtLLc35PFjsfj4PP5EIlEt6VyuZ8hRedakMzfZbtuJkCe+bdoNIrx8XH8+te/xuuvvw673c44sNmyY3ejsAsJ9775fD6kUilTWqPRiOrqatTX18NkMqGgoACFhYWMS0B+JcGUmbhztmtlymLwWjKZRDAYhMViwezsLKxWK44ePYo33ngDbrd7wWcSiURQqVRYsWIFPve5z2H37t1MX7jzm2vwuiScl9hQPB4POp2OXVSj0TA/l3wz2hpKSkrA5/OZO5EphIHSlsbj8Rj05vP5WOqZ+KmZrgE3NckltxNnlbgWlOyIRCIIBAKMDMPlZ1CiQSwWI5FIwGaz4eLFi3jnnXfgdDoX5CLcT6Xlfif32eLxOAKBAGZnZzE0NITr16/DYDBApVJBq9WiqqoK1dXVkMlkSKVSKC8vR1NTUxo3Yqk7EpfzkemCiEQilJeXw2w2I5FIoKKiAv39/Xj33XcX5EPE43F4vV7cvHkTb731FlKpFPR6PSKRCIxGI1atWgWVSpXzGOWsvC6XC0eOHMF///d/AwC2b9+OLVu2wGg0QqVSQSKRMBCaIC8e7xbhgxuZCwQCFmzF43HY7XaMjIwgEAhAo9FAqVTC7Xajt7cXFosFBQUFWLNmDSorK6FQKNK+myaYymKIB9vf34+3334bPT09CAQCzHoLBAKGVRN/giyTRCKBwWCA2WxGcXExRCIRfD4f7HY7ioqKIBQK4fV64fV6EQgE0uiLNKlAup/J/ZlkoQBpoZ+5QgsnkUggGo3C6XQypTxz5gzkcjnEYjEUCgW2bdsGvV4PtVp9TzhypuLSM3PnUSAQQKvVorS0lFEq6T65eQHSA5fLhRMnTuDatWsAbu3qer0eX/va17Bv3z5oNJqc7i1n5T127Bh+85vf4MqVKyyNWV5ejoKCgrTcPPehADBLOjExgWvXriEajaKwsBAajQY+nw8dHR04c+YMXC4XFAoF1Go1/H4/pqam4PP5oFQqUV9fjzVr1qCqqgpFRUUwGAxQq9UQiUTwer3o7OzEqVOnMD4+DpfLBYvFAofDwfxRrtBEkLUll0QoFGJmZgbz8/Ms2SIUChmSkkgkGLpgsVjg8/kQCoUWrEbOFkzSdSloWsiKZ3ONuD4/vUgxKDHg9/sB3FKmUCiE0tJSyGQyFBYWsp0r0wfORHe4bhcpKb2PdsnMgDmZTMLv98NoNKKtrY0lIkZHR3H16lWG7dNzxONx+Hw+BAIB5qO73W689NJLiEQi+OpXv5qTTuasvH/4wx8wNzcHlUoFvV6PhoYGmEwmqFQqZhG5k8TNOM3NzeH3v/89XnvtNaakOp0OsVgMk5OTmJ+fRzweZ/4dwWKpVApWqxXj4+M4efIkK2nJz89HYWEhVCoVs9wul4t9ZrG6LO5WTO/l8/ns+k6nE2KxGIFAAFKpFCqVii1GrtXOhnjQ9y8UrZNrJJPJIJVK08qh6O8kpOSZVm8xwjr3/zMzM3j11VdhtVrR0tLCyoMog0mQG7kjtEPJ5XIIBAJGqKI4hsfjsYCMy0NIpVIIBAJwOp3YvHkzPvvZz8JkMiGVSuH06dOw2+3w+Xy3uRLcoJ3w7eHhYfz4xz++/8pLBPTCwkI0NjZizZo1KCkpgUqlYvgj98YoMWG1WtHf3894rFQoSApBgdli2yVV0ZJYLBb09fWlrfy7EW7QBoC5NsQcA4DZ2VlW0Oh2u+F2u1kPA1LmzOsvFuzQ77IpKgXDXAiMSyWkeyO3JRNS5Eo8Hsfk5CQOHTqEkydPQqPRoKioCEVFRcyVi0aj8Pl8cDqdLIFEhoiUefXq1di+fTv0ej2i0ShMJhMUCgW7TjQaxczMDMRiMdrb2xlK4na7MTc3x7gNtCMTZYACX1qgZNUtFkvO85ez8jocDqRSKUilUszPz8PpdLJtmZSPFDgSieD69et4++23YbFYYLfbWd8Fshi0EjO3rVzlbj+X7TtI+Sj5QEKLhmrtuKSkxa7NnSyywnQNwovJ4hJeS7sKuSoqlQoajYbxg4lSOjs7y65NVjjb9cmyBgIBhk0PDg5CIpEwTnXmfHAtIcUJlBmtrq5GQUEBtFpt2u5Fi9lsNsNgMEAoFCIajeLixYt49dVXYbfbwePxIJfLUVlZibVr14LH4+H69euwWCwIh8MLcmbuJEviNkSjUUQiEQwPD+PUqVNIpVJoaGiAWCxGLBZjnNX5+XkcPHgQp0+fZuk/WmnkFmRap/cjYs9FuIkQqmQOBAJpwUkuiQYSsi6FhYUoKChAIpGAy+ViOChZbFIcLhLAVWKtVovCwkIolUoAtwyCVCplyiqRSBAMBtl3AumpX6JhAmDuCS1MrmvFzbjR56jkiUqMmpubUVVVxQJAbgAei8VgMpkY+pRIJHDjxg386Ec/ws2bN5FK3eI2FBUVobm5GQUFBZiZmWHpfu5CpwWTq+SsvOXl5XC5XAiFQvD7/bh06RL6+/uhUqkYJkoRu1AoxOjoKKamplj6kFo0SaVSRCIRNuCZfnLmVphrX4G7Fe71Ftv+7yQU9KnVatTX12Pjxo0oKytjDCu73Q632w2Hw4Hp6WlYrda0KmmqlqBx8fv9jOtKVlQqlUKn00EikSAUCsHn87E5EQgELCjjji1Z54V2jUwsubS0FKtWrUJtbS3Ky8tRW1uLsrIyKBQKxkHmLmzyoYVCIZLJJGZnZ/Hyyy+jp6cHMpkMJpMJVVVVEIvFsNvtuH79OqxWK/Opqf5Rr9ejtLQUpaWlOY95zsr76U9/Gu+++y76+vqYE05RJBc+oaoBKryk7YjH40GpVKKgoAB+v5+VAAkEAmg0GphMJsjlcgSDQQQCAQiFQigUCgSDQYyPj7MauPdD7mVx0MSLxWLk5+ejsbERDzzwAFpaWqDVagGATZJQKEQoFMLAwACOHz+Oq1evwuFwpHXH4fF4rFh1fn4+jQ9N/iL9jnqTRSIRSCQSVnVBGDnRMDNL6DOfnbD5uro6PPPMM9i6dStbJNQDjZuZI4NCQSsFXKFQCH19fRgeHkZhYSFaWlrw4IMPQiaT4a233kJ/fz/sdntagEqxj1gsZvFUrpKz8paVleHmzZtMSZVKJZLJJOsvQH4TuQgCgSAN6xQKhaiqqsLevXuRl5eHa9euob+/H3w+H62trWhvb4der4fL5YLNZoNKpUJlZSXEYjF6e3vx8ssv49y5c3C5XGn8gT+l0ODTNt/c3IxHH30UGzZsYAWStCWS1QKA5uZmbNiwARcuXMCZM2fQ1dWFubk5hEIhhiiEQiG4XK60poJKpZKhAQDYtqtQKKBQKCCTyVgVNpVgZeLRmcLn8xn34MCBA3jooYfS+BOZrgUXqqPgku4lGAzC6/WivLwczc3N+NjHPoaKigrcuHEDIyMjsNlsaSQjgikDgQCGh4cxOzuLK1eu4Ctf+UpO45+z8v7qV79iFDaJRILy8nKUlpaiq6sL169fT1OmSCRyWzQtl8vR0NCA7du3o6ioCNu3b8fU1BQSiQTMZjMKCwshEomYL8Wt16qsrMS2bdswPDyMsbEx5nNfuHCBYZsfhHCxV67iFhYWYuPGjXj88cfR2toKjUaTZq0y+QQikQi1tbUwmUxYt24dOjo6cOLECfT39zPuLxkCUh6/3w+Xy8XI8EKhEBKJBHK5nLW6oiwiVTuQf51NcXk8HrRaLdavX48HHngADz30EOrr69MKAbKl3bnWm/tMtOgUCgVWrFgBnU4HlUqF2dlZvPPOO+jv72duEmH/3IqTZDIJj8eDmZmZnOcjZ+X94x//CB6Px7oT1tbWYsOGDZDJZBgdHWUuRCahhjuBpJgAoNPpoNFowOPxWFaOLHQmZkwp6HXr1qG1tRXJZBKf+9zn8G//9m944YUX3ncF5j4H3aNcLodWq0VFRQU2bdqERx99FA0NDcjLy8tKOeQGpeRmqNVq1NTUQKPRoL6+Hj09Pew1Pj4On8+XVrVMgRcFdgRtqVQqlrxJJpMsXU884mzPU1hYiL/7u7/Dvn37oNVqmRXMfF825eUuCsqkhUIh1jiFavomJiZw5swZHDx4kOkHfc/9aDO7pKYjFACIxWJYLBYMDQ3B4XAgLy8PoVAoa+M2uuFIJILu7m787//+L9ra2lBaWsqqbblZGwBpk58pZPFMJhO++c1vwuVy4Te/+U0axJX5foJ/aMXn6nJwgxmCsLRaLWpra7Fu3To0NTWhrKyMKY5UKr1tcrhcW64y0O+kUin0ej3bzTZt2oS+vj4cOXIEly5dwvz8PIMkuS+KFWpra9HS0oLq6mqYTCbk5eXB6/WioqICr7/+OkZGRm5TYLlcjk9/+tN4+umnWSo2U3HJDUgkEix7Sr8jghKl6v1+PytvIr63QqHAzZs30dPTA6fTCeA9KivtKvcqOSsvRbzArcQCpW/n5+chEolQVlYGPp8Pp9PJqIJ0w0qlkg3S4OAg8vPzWT6coly9Xp/mz3EneaG8fEFBAZ577jmYTCZGniH/WygUspqp6upqFvEODg6io6PjtragXOtCPipVbRCK0NTUhPb2dmzatCmtsjkSibAqAQCwWq3o6uqCx+NBS0sLVqxYwXjLmdfjWmGFQgG9Xs8okWVlZbh+/TpmZmbg8XgQiURY7VtLSwva2tqwZs0amEymtKg/lUqhubkZra2tOHnyJGw2GwDA6/XCZrNBr9dj27ZtzN+kwJo+H4/HMTY2hnPnziGRSGDz5s0oLS1FJBLByMgILBYLFAoF8+spThGLxSgrK4PBYGAtskpLS1lyJxwOs8qTTANCY7GUNgc5UyLNZjNUKhXKyspQXV0NjUYDl8uFubk58Hg8rFmzBvX19XA6nTh//jzOnTsHq9UKrVaLTZs2oampibUgJWI1WexQKMTgEsIyqUiTS/Qh4aZOKTgh5SErRbwF8gUJPwyFQhgfH8e5c+fQ3d2NQCDAImqClKj8nPoyCAQCVvFbVlbGGHJ+vx8DAwN45513MDAwwLJWo6OjmJiYQCwWg8FgwJYtW7By5UpIpVKkUikUFxejpaUFhYWFLLAldlsqlWI93ahLZjAYhMPhYD5vRUUFampqUFBQcBvlkSv0PGTp5ubmcOXKFUxMTCA/Px86nQ5+v5/1pFCpVMjPz4fX60VXVxcGBwfB4/HQ1NSE+vp6FpPodDoGpcnlcpZwUavVjBXmdrsxNTXFDJnL5cLNmzdx9epVWCwW1k3J7/eDz+ejoKAAlZWVMBgM+PWvf31/lffnP/85GhoaUFZWBrFYDLfbjYmJCXg8Hmg0GpaBoeCiu7sbHR0dMBgMWL9+PQwGAwAgGAwiFApBJpNBJpMhHA5jamoKDocDOp2O+W2U3FCr1YwkQyA2QUXcxtFLKZMnXJUGnT6XWa3B3fK5GbNIJIKbN2/i4MGDePPNNzE8PJxWDpPN7+emeeVyOVavXo19+/ahtbWV1fqR20EJE0rqcIkxANLa9y/lmf1+P7q6unDu3DkMDg4yEpLT6WRBNllecgO5XAyFQoGamhps27YNK1euhNFoZD4+pbOJTur3+xGJRNhcpVIpeDwe5sZoNBoEg0GMjIyAx+OhtrYWer0ePB4PZrM5p2fK2W3Yt28fW+XRaBTz8/PweDwQiUQoKipCfn4+m2yNRoO2tjasWLGCwTxUjxWLxWC1WuF2u5Gfn49wOIy+vj50d3fDYDBg9erVkMvlsNvt8Hg8yMvLQ35+PvLy8iCTyRh2StmgTBZbLkKfXWq3SbKsly9fxr/8y7/g/PnzLKha7DOU/iQJh8M4efIkBgcH8fDDD+OJJ57AunXrGGGGy/7KDJa4z3A3Qi2ZnE4nY99RwiAzXU4LhBZ6OBxGYWEhS6iEw2GWeOIubiLCy+VyBhcCt8qBqMKcnm/Dhg0A3otzlhLE5ay85LNRbn5oaAgXLlyAVquFwWBgB3uQiEQi5tPyeDy2fblcLgwODiIUCsFkMiEYDKKzsxPd3d0oKCiASqVCYWEhy0qJRCKWliTrpFKp0hheXDxyKbLU95P1OnjwIM6ePcvSyHcjiUQCs7OzuHjxIpqbm9HS0pL13jLhuXuJ0AnOyuRscBlq9H+aN1rgRAQixIOYaFQ/x91tuG5dJvKS2bMs0/AsZU7u+XCGu7EAmRjwYt+31H4GH4Rk8y/v9ftykT91Uiab3M9xWKrkbHmJ30roQG1tLWv+Rq01uQ9CTjphooQAELyTTCaZ2+B0OlmHxsrKSsjlchaskdtA/6fgi7tN3a0y3Y0yKBQK7NmzByMjIzh37hy8Xu9dUTKpL25bWxtqa2tva9+ajbh0r24D4cP0It85c/ein8n3pmtxIUNyC8h1y0wfk5vEdevIcnPTwtxiUXrPfa9he/XVV9HQ0IDy8nJ2wyqVCh6PBxaLhbX65PP58Pl86OrqYgHbhg0bWMAWjUbZOQoUsDU0NKCwsJAFbIlEAnK5HIlEglXHEohOARuX63o32z/5bRSwEQbM7Q3B/X4uAb21tRXf+973cOjQIRw6dIgFbNnIRPRZbhJALpdjzZo1+NSnPoU1a9YwyImUlJSG7o0QCe69LdS74k4iEAiQl5cHvV7PDIrD4WDoDjHDQqEQSy1zAzaVSsWye0ThpHuj8aFm2pFIhMUqqVQKbrcbIyMjiEaj0Gg0CAQCLGCrq6uDwWAAj8dDZWVlTs+SM9pQXl4OlUqF0tJSVFdXQ6vVwu12M7L2qlWr0qAyatOv1WqxYcMGNDU1seJGo9GI0tJSyOXyrFAZBXdk5bnMf5oAWukElbndbhYQ0nvEYjGzEOS7hcNhjI2N4fTp0+jp6YHP52NRMilMNqisoKCALV6CyqhBNkFllAUbGhpiUJnRaMTWrVvToDKTycTogZlQGT270+nE/Pw8a5/qdDpZlYfZbEZtbS0KCgrSWp5yFzEtAq5vS1DZ5OQktFotdDodAoEAxsfH4Xa72ZEFXq8X165dw82bN8Hn89HY2IiGhgbG1dXpdKipqWFjQdcgqIzH48HlcmF6eppxUQgq6+zsxMzMDCKRCGMoUmKDOMG//e1v76/ycgdZqVQyrJeofrT9uFwueL1epkRU7kx9BqqqqrB+/Xo0Nzezsmei+mVr67kYBJZKpTA1NYWf/exnePvtt9nJOYTzUvKjsrISlZWVkEgkGBwcxPnz5zExMXFbkgJIt5SkuJSkaGhowAMPPJCWpCDojCpqAcBut6Orqwter5dhpPTezOtxCU2EyzqdTty4cQOnT59Gd3c364vATVI0NTVh8+bNWLNmDYqLi1mSgoInt9uNy5cvpyUpPB4P7HY7DAYD/uIv/gLbt2+HSCRiFpZciVgshomJCZakaGtrQ0lJCSKRCKO6ZiYprFYrS1YZDAbE43H09PTgzTffRE9PDzMulKTgVoJwdYzaJuQiS+pVRgMuFotRWlqKlpYW1gJ/bm7utvQwbcV0QqNer0ddXR2amppQXFwMhULB8EFu26dcxWq14vnnn8crr7zC+kpkCo/Hw9mzZ9niyjU9TLgnKTN1wbx27Rpqa2uxdu1atLS0oKysDCaTCXq9nimoWq2G2WxmadzMEin6l3xDbldJu92Ovr4+HDt2DBcvXrytkJTHu9U2lLr2rFixAi0tLaipqWHpYY/Hg3PnzuH3v/89w1W5BiAvLw+1tbXYtm0b25kyDURTUxOqq6sRj8eRl5cHgUCAZDIJtVqN0tJSlszh8Xisq6PVasXo6Cj8fj/kcjk7h2N4eJjND7kV2cY/E1K8k+SsvFSOQl0hTSYTqqurMT8/z7pCZrKNuPCORCJh7YwqKyvZYJAfy51gboVBphBuOjc3hx/84Ad47bXXFlRcej/hs0uVTD4BFStarVZcvXoVGo2GEXN27tyJhoYGFmxm4zMspLjz8/MYHBxkpJwbN25gfHycpVFJuMkY4u0ODw8jEonAZrOxeGF6ehrXrl1jrktmQOn3+/Hqq6+ioqICn/rUp9ipoZkokEwmS4PNyF8uKChgv6cdmSokJiYmYLfbEQqFoFKp0NLSgrGxMUxNTTHDQc9CY3G3krPyPvbYY5iYmGCn4wwODiIYDKK7uzvt7FuaOK6PSpNFLgK19pmcnEQikUBlZSWKiopY+jEUCkEkEjF/jrbBwcHBNErk5cuXEQgE7vrhcxVudosUh4oXbTYbxsfHMTY2hscffxzr1q2DVqtllp5e3MnilhxNTEwwSuTAwAAcDgejRHJdDOL1clECOgaVatvocHCq1FiI/JJK3arK/od/+AccOXIE27dvx8MPP4wVK1akkYu480dCWC23dwMtKq1WC4vFArfbDYFAgKqqKjz55JMAgN/85jeYn59nz8RFORbjGy8mOSvv/v37cezYMVy4cAFutxv9/f3o7e1lGSbuIBMawT04JBAIoLe3F6dOnYJUKkVnZycGBgYgEAiwdu1aRkan7Zm2XrFYjBs3buDll1/G+fPn4Xa7b+vO/kEKF7IiQH92dhZnzpyBw+HA7OxsVjI6KRxwi19BPuXZs2eZX0voB/Ce/0eflcvlUKlUzL2iRQS8lzVLpVKMgM5VMrrXzOdwuVw4fvw4zp49i0OHDuHAgQN4+OGHoVQq0+C5bMkG+g4SmvdAIMBafOn1epjNZuzYsQNXr17FlStX0u6Ni8AQ51uv1+c8Fzkr7/j4OLxeL/h8Pstdk3Wg89cox01lQNwK4Xg8jtHRUfziF79gbLRIJAKhUIihoSGcPn0aMpmMoQ9ERg+Hw6yZyPtVBnS3QlaDmgrGYjFEo1F4PB6sWrUK+fn5AMC2WG4Z0LFjx9DZ2cn6TdDCJ2WlBix05hqVAXF5DtR1nQIghULBrkXvvVMZEKE1165dwz//8z/Dbrejvb09rQyILHymO0j3TVY0Ly8ParUak5OTmJiYwNTUFHbs2AGZTIaqqipMTEywHh2EhNApniaTCatWrcLq1atzHv+c0YaNGzeyYj+ytJSypW2Uzm8QCAQYHR3F5OTkbQWYlF7mbsPclZy5Vb3fBZh0D9lkKdelSVSpVKwAkwIbq9V6WwGm3W5nY0MLlbBruVyOwsJCRnXkQmjU9zcYDLI6wlAoxBSWjAsZE+qkQ2OeLdlBlpUKMFeuXIna2lpUVFSgrq6Oca+52DfNeTKZZPV0wK0+Fz/84Q/x8ssvsz4PlZWVkEqlDFq1Wq3Mn6daRb1ej+LiYpSWluLFF1/MbcxzVV6TyYRoNMp8m+bmZrS3t6OxsZHRCelYpvn5ebzxxhs4deoUO9aK6rK4RZlcJflTpT65GTpuTp7riy2l9J0skNFoZAw5OgKL26OAXhSwKhQKlnyhzxcVFaWVvtPh2vPz82kFlpml78QRJq5JOBxOg6a4XAauS0ABuVwuZ5hvQ0MD2traWOl7cXExoz2Gw2G43W7w+XwW9CWTSVy/fh3f/va30dHRgXg8zqqIV61ahfLycoaUUE0bN14SiUQ5Nx5ZUpdICrhqamrwwAMPYNu2bawfFjfCpmrWgoICTE1NwW63Y3BwEJOTk0wRslnbP4VwFZcYcFz8lvx2Li92sXsm/35iYoJ11KQgjawhNxNFv6PFQgaCmrzQ2FJ/L2oomNnIOvOZuNk4grO4jQWj0Whau1ZuBXgikWCHwNAOGw6HWV86at4nk8lYA2zqpiQUCtHY2Iivfe1rcDqd6Onpgd/vx+TkJNt9aZEA77le2VCRO0nOyqvT6dh5WlRcR1tIJi1RKpUysrXNZkNfXx9ef/11zMzMMCWn95NiLFWBM3PwdyNcxSWlooJGwi7JEsdiMbjdbuY6UdC4ULsngoUy/UTanqVSKaMacn1nPp/Psk8+ny/tnAo6sCVTcbONHbl2dA4ewZuFhYVp7Z4CgQDm5+dZjZlCoYBIJGLtntasWYP29nZotVp26CE9k0Dw3qEwo6OjEAgE7FiC9evXY9++fZibm8PMzAwCgQD6+/sxNjYGPp/P5pzLSV5qqj9n5a2trcXAwAA7BZ06utDDZvaBlUqlKCkpgdFoREFBAWw2G2ZnZ+FyuaBUKlmjPXLiCUgn/47rWlC2jCyHWq1mTf4II6UTGrlb4p2Eq7ikvHSer0qlYteiwMtms2FiYoL5bMFgEMFg8DarkYnpZk5IpsJxWy6RcF0Y+gx3B+Diz9mE+udSDwluoz2qTKHvpF4ZFPELBALmkxYVFbFCWW6TFO51TCYTZmdncerUKdYiNplMwmg0Ij8/HxaLhS10wtsz3TQArBI7V8lZeT/xiU/gl7/8JUurDgwMYPXq1ezcLErJZpKSqVhyz549MJvNiMfj7KF8Ph/OnTuH06dPw+VyQS6XIz8/n20z1OJ0xYoVWLt2Laqrq1FYWMj4vdTi9Nq1azj1fy1OnU4npqen0woXSTJBeIJraBApcKBmdKTMtJXS5zM70HCFa0UyhSws+f7ZFhpXObIFs1z4ivs37s9CoRAmkwmf/vSn8YlPfIId0JeZ7csGeXHT1lzOBf0ts8KDx+OxSuo33ngDv/rVr9gBklQOtVA/NW5sIRQKUVNTg89//vOLaGG65Ky8O3bsSNumtmzZgrKyMvB4PBaMEIMoswE0n89HWVkZ65JOLkMikUB1dTW2bNnCmkvL5XL4fD709vZienoaRqMRq1evhtlsTmOX0SDr9XqYTCZs3LiRBUb9/f145513mL9FAQzdD0E8XGYUcQa4zaXpGKbBwUFW2UG9zEh5s1n5TGXIRFFoMrNZzYUsKdeac10Q7k7HbS7d3t6ORx55BKWlpWm7YrbvvdP16GcujZG6AAG3DIFCoYDNZsOFCxcYZyRbAz36Hmpzm0qlEAwGodfr8aUvfQlPPPFE1vvJeo+5og0UMFgsFlZ2LRDc6uNK/pJarWbHV1GJczAYBJ/PZ5aSO1ikSLRdksWOx+Ps+COZTIb8/Py0chKudSOfl3tcVDQahd1uh8ViYW39CfdcrK2/VCplzDfq2n7hwgUcPnyYnTu2kLV8v4WrsGKxmCUBqJCysrISNTU1bBcsKytDU1MTNBrNotTRxWDCTGyXfs9VSoLmuru78Y1vfGPRtv4EJ2o0GmzduhW7du2CwWBANBpFQUEBWlpaGDSYi+RseaPRKKRSKerq6pgSEaGEerDK5XKkUil2fNXMzAx6e3vZgSrZ2rVz3QwSPp+P/Px8drQpt3Qkc1C530Pvo04y5eXlaX44yWL+IvdvkUgExcXFiEQi+P3vf4+5uTk2MZkEJPrs/ZJMCI8WsVarhdFoRE1NDerq6lBUVHTbgSqUxeIy2TK/m/u8i1nfzPfT/YTDYUxPT2NmZgZzc3M4evQoBgYGFu3HQDh4bW0tdu3ahV27dmU9UCVXyVl5f/zjH6O8vBwbNmxAcXExI2TQyY/ExeXm9MViMZRKJWvMTM0rgPcY89koj7RCuZaWu91ysUnuZ7i+WTbfbqkilUrR1NSEv/7rv8a2bdtw+fJljI6OYmxsjFVOZ54OdC8WmbZ/o9EIo9EIHu9WJbZQKER5eTk7ykqtVkOj0UCj0bB+DwsdZQW8lxrONm6Z1+f+fyHF5vFuZe7+53/+B6+//jrjVSxEZaSFVF1djRUrVqC+vh4VFRVp+pJM3joybGBgAFu2bMltvHJ1G/Ly8iCXy7F27Vp8/vOfx+bNm5FKpXDt2jXYbLYFDxEkd8PhcDC2kVAoRHV1NWpra+/rIYL3Q2EXEm6Ga2Zmhh0iePPmTdaAmdK0pMy5JjgEAgHUajVWrlyJ3bt3s8qTYDCIqakpeL1eGAwGxtvlxhILHSKYOaYEnWUGbTRWS3Ep4vFbhwh+5StfwY0bNxZN29OCXL16NZ544glG/snLy2OddTweDy5evIjf/va36OrqyrlfWc7KSw9C2ZT29na0tLQwn7K5uRmlpaUsD04kdKqWePXVV/HCCy/AbrdDKpVix44deO6552A2m9NqnLJtxdx2qRRccXFl7hZ7v5U2U8hPD4VCmJ+fx8TERNrxrTMzM+xUokAgwDJgXCWmZySl3bp1Kz7zmc9g06ZNDCcFwPL/VFVCMQONCSkp92y8zPGj78lWU5Y5dlzJNo7J5K2DU3p7e/GDH/wAhw4duiNxXCAQwGAw4NFHH8XevXvZfNPCPHXqFE6ePMk4v0tJWuXsNnCDI7vdjj/84Q84d+4ci9DD4TAsFgtjlOl0OpjNZtY/ljidlIc/d+4cbty4wWAc4D1XYiGrym3BtBBM9H4LKUteXh7rCF5TUwOv18vOfhseHmYVBzabDX6//7aDs/n8W4eHP/74rZPvy8vLbyPjU0YzsziTnjubomabeLK4NFZcy5xppRcax2QyiZs3b+InP/kJjh8/jvHx8TsqLo93K/XN7aQDgD2Py+XC0aNHMTg4yHaGbM+6kCypVxk3SIlGo7BarXC5XHA4HJifn0dpaSl0Oh3y8/MRiURYpQQB1hqNhuGbNpsNb7/9NsrKyljbImopn2kZuFBXpoWh93xQysu9Jlk86jVmNBpRVlaGqqoqxqyixh7BYJBZUkJgVq1ahU9+8pMoLS1dsIpkoWdbyDplulzAndsL3On3wK1ORy+++CL+8z//k1nIxYR2CpVKBZPJxEhG5DLI5XKUlZWxOkGxWIzW1lY8+OCDi34vV5bEbcjE7bjFgsQLIKxWIpGw7V4qlWLjxo0YGRnBwYMH4XQ6EQwGcejQITidTmzYsAFr165lzfCyDUS2CfigrS4J1+JxoTaxWMwydMXFxWhubobP52MkmmAwCKvVipGREdbJUa/X31UV8J2eeSEXIvNv9POdvs9qteLs2bM5KS6Px2MLurS0lNXxkXGj1HtNTQ327NmDqqoqtLW1YdeuXe9Phi2zPSV3YKh3g9FoZKtMo9Ewq5tMJqHVarF9+3aMjIzg4sWL7GzigwcP4vz583jwwQfx2c9+Fo2NjWnHYy02qB+k0tI2TZxdbkaRK0Qb5LamomAzEAhgbGwMXq8XDocDNpsNPp/vNg7EvchC7kDm33O9Tip1q/HfqVOnMDY2lpPiSiQSGI1G1NbWorq6Gk1NTaiqqoLRaGREI+BWgmnv3r341Kc+BaPRyJQ6V1nSaUDc7Bi3n5VOp2OnxhDngGr1qS0Q9Xqtra3F9PQ0pqamGE1yamoKhw4dgtfrxY4dO1BRUYHi4mKUlZUtCbS+35JKpRjM53A4MDc3h6GhIUxPT0MikaCqqgqVlZXQaDSMjcbtaEm4Myk5EcPn5uZw8+ZNDA8PAwAefPBBFBQUsHS0Vqu95+e+Hws7Ho9jZmYGR44cwY9+9CN4PJ47XpOyZ9XV1WhtbWWHshQVFd3WeJsaldOutVTJGW3gJgq44LlQKITRaMS6deuwfft2NDQ0sF5iRPjw+Xzwer3s3+npaVy9ehX9/f2sKTRBKuQzV1VV4emnn8bOnTvTDq37oCQWi2FsbAxvvvkmTp06xTpZ+nw+RKNRxh/YunUr2tvbUV9fj8LCwrQew8B7C8DhcKCvrw+nTp3CmTNnMDExwRI/5AsSklJTU4NPfvKT2L59OzskJR6PpzW1y0yM3O9dKBQK4ezZs/jJT36Cjo4OOJ3OO7L3uLtwa2srdu3ahVWrVrHWpZmNDSmAzbz/+55hU6lUjNTMrRwFbjUtHh4exrp165hfk0wmWWEgYbvUv4FO/nG73RgfH2d+dCgUgsViwezsLDuStaSkBOvWrUujBr5fQri0zWbDsWPH8POf/xzd3d2sPoyb3RMIBPB4PEgkElAqlezkSFIsKrKkQ72vX7+OU6dO4cqVK5ienkYgEGBVJS6XK207vn79Ok6cOME6bRJcRmdzUGUCCbcd6726H7RbHj9+HP/v//0/9PT0ZD0aIFO4fnMqlYJKpUJDQwPq6+uhVquzzh8XBaHPvS8Ztm9/+9u4dOkSTpw4AZfLxSJnQiG8Xi/UajXrcJ5KpdhWqlQq2YmZxFug7pJzc3NMOegBiHl1+fJl/OM//iO+/e1vY82aNUuCUe4kmXAR4bc2mw2HDx/Giy++iIGBgTSmP+021AFz69at2L17NxobG9lpldwyGVJk4tNSq1axWJxGBs+cMKq+OHLkCE6ePMmurVKpcPz48bQWUUqlEhUVFaioqIBWq01zW5aiwDTuDocDx48fx/e//31cv349p/b7pLgEIdbX1+Oxxx7DypUrWRf8O33+biRnt4Fw3O9973t45ZVX0jA+gUCAiooK/PSnP8UDDzyQdrOEOAQCAXaizczMDIaHh9HV1YVr166xHgXZtiU6H+zLX/4yPvOZz7CymPslXOSEQPjr16/j4MGDOHPmDKxWK5LJZBrPt6SkBBs3bsTWrVtRUVHB0t5clhfXUpMLRf0Urly5ghs3bmBsbIz1CVusvoz+TxW6VJQplUqh0WiwYsUKbN++HevWrWONRzJbiS4m9NydnZ145ZVXcOTIEda9/E5C96VSqVBdXY3Nmzdj9+7dWLt2LVQq1YIuwGIYda73nbPllUqlMJvN+NKXvoRr167hxo0bTNkSiVvn4tKhK1yhchGqqRIKhQiHw8xSNDY24t1338X58+fTiC8ksVgMvb29eO6555BKpfDFL37xrpz7hYTul9KmarUaGzZsQF1dHZ566inMzs6yrjHkHhBBhmtps30v97upTq2yshIPP/wwLBYL3n33Xbz99tvo7u5OU+JM5lomNBmLxeD1eiESieDxeFjxK/dwwYV4I5kSj8cxOzuL1157Db/85S8xODiY1kDmTmNHLZ6efPJJ7NmzB9XV1czvX+jaXF8309VZituQs+UliUajOHz4ML7zne+gr6+P3YRIJMLnPvc5PP/88yxyzhQafLfbDY/Hw0plpqamcOzYMRw9epShEJnbKY93q5PgT3/6U2zatCnr0Uv3U2iAM9lj3ETJvfiV5BpR8NrZ2YmxsTHMzc2xAksqWc+2I5HiKJVKFBYWoq6uDuvXr8eaNWtQUVHBKiYy248C7/n2LpcLnZ2dePnll3H8+PGcgjISimFWr16NL37xi3jkkUcYqy2X5892WtJSZcnKC9yyhufPn8eBAwfQ3d3NJlej0WDfvn3Yv38/1q1bx07LyXbj5P9S55np6Wn09PSgu7sbQ0ND7LR46g8B3IJWdu7ciQMHDrATdrgstj9FwuJehBZIJBKBx+PB7OwsRkdHMTAwgMHBQdZlkcjdpPSUXpbJZOzkS7lczg6qMRgMjP9MWUvqrREMBjE/P4/x8XH09fWht7eXVfHmIkQ8X716Nfbs2YNHHnkEZrN5yfEIKW82olCuclfKC9xyFV577TU8++yzcLvdt77s/+Cuuro6/M3f/A327t274BbPnQwqRKSo2uv1YmpqCt3d3bhw4QKuX7+O+fl5JBIJdrpQe3s7qqqqoNFooNPpoNVq03y9TFiP/v9hFG7AGAwGWdfFubk52O12eL1e1kY0Go2y09b9fj+mpqYwOTkJv9/PMls83q1yHeJTcP1wGmsiOi2l3k8ikaCsrAx79+7F/v37UV1dnVaQuZDQDstN6nDLjN73gC2beDwePPvss/jd736XRovj8/moqKjA3//93+Pxxx+/43bCDW7IGlGzjNnZWVy7dg2HDx/GpUuX4Pf7oVQqYTabUV5eDo1GA6PRiMbGRtTX18NgMLCIm+A8rlWmbf/DKFziDu1OpGikjFz4raOjA2+99RZGR0fTjkbljmPm9GbjPtxJZDIZg+l27dqFjRs3skqaO0ksFkN/fz8GBgZQX1+P+vp6xjwkuVvlvSfwVKVS4Vvf+hbsdjtOnz7N8MBkMonR0VF84xvfwBtvvIEvfOELeOSRRxbcWjIxQlI8LrFDoVBgcnISfX19cDgcCIfDmJmZYX10TSYT1q9fj7a2NpjNZigUCrZdZp4DDHx4z7qgxUZlSdTCicuPJvjO6XTCbrezQI+Eawi4v7sb0Wg0+PjHP479+/ejqanpNjhuISGc//jx43jhhRcwMTGB9evX4/nnn0dNTc19Gf97Ul4ej4fGxkb8+7//O775zW/iyJEjaYPodrvx5ptvoqurC//1X/+FBx98MCdCCfdFMExpaSmEQiHDRmmLJUszPj6OgYEB9Pb2YufOnVi5ciV0Oh3DVbmVzdzrfBgl895oB0n9H0+aejvMzs6m9RHO3MGAeytNUqlU+PM//3M8++yzKCkpuY2OupB4vV6cOHECr7zyCk6cOAGn08mw78HBQVRXV9/1PXHlntNWPB4P1dXV+OxnP4uOjo7b8t+pVArT09M4duwY2tvbl5Qpo0Eiq5lZAEkcUC5N88qVK9BqtdDr9aw3GtEtyf+mngXvN1rBfYZ7Ea5ykgQCAXg8HrZTZYPW7kVxebxbB/s99dRTKCsru62H8kKSSCRw6tQpHDhwAFNTU2mQGJ3ddr/knnzeZVmWP6V8+By/ZVmWHGVZeZflIyvLyrssH1lZVt5l+cjKsvIuy0dWlpV3WT6ysqy8y/KRlWXlXZaPrCwr77J8ZOX/A8IlIiIpHCJHAAAAAElFTkSuQmCC”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 7n”, “tbeta = 9.6471e+00n”, “tJ = -2.1445e-01n”, “tgrad_norm = 2.2958e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 8n”, “tbeta = 1.1088e+01n”, “tJ = -8.9444e-02n”, “tgrad_norm = 2.2555e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 9n”, “tbeta = 1.2529e+01n”, “tJ = 1.1362e-02n”, “tgrad_norm = 2.2093e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 10n”, “tbeta = 1.3971e+01n”, “tJ = 1.1210e-01n”, “tgrad_norm = 2.0336e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 11n”, “tbeta = 1.5412e+01n”, “tJ = 1.9396e-01n”, “tgrad_norm = 2.1514e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 12n”, “tbeta = 1.6853e+01n”, “tJ = 2.7025e-01n”, “tgrad_norm = 2.1704e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 13n”, “tbeta = 1.8294e+01n”, “tJ = 3.4755e-01n”, “tgrad_norm = 1.8862e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 14n”, “tbeta = 1.9735e+01n”, “tJ = 4.1219e-01n”, “tgrad_norm = 1.5809e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 15n”, “tbeta = 2.1176e+01n”, “tJ = 4.6086e-01n”, “tgrad_norm = 1.4479e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 16n”, “tbeta = 2.2618e+01n”, “tJ = 5.0012e-01n”, “tgrad_norm = 1.4009e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 17n”, “tbeta = 2.4059e+01n”, “tJ = 5.3230e-01n”, “tgrad_norm = 1.3394e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 18n”, “tbeta = 2.5500e+01n”, “tJ = 5.5752e-01n”, “tgrad_norm = 1.2881e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 19n”, “tbeta = 2.6941e+01n”, “tJ = 5.7865e-01n”, “tgrad_norm = 1.1554e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 20n”, “tbeta = 2.8382e+01n”, “tJ = 5.9717e-01n”, “tgrad_norm = 1.0243e-02n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 21n”, “tbeta = 2.9824e+01n”, “tJ = 6.1391e-01n”, “tgrad_norm = 9.7453e-03n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 22n”, “tbeta = 3.1265e+01n”, “tJ = 6.3077e-01n”, “tgrad_norm = 9.4796e-03n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 23n”, “tbeta = 3.2706e+01n”, “tJ = 6.4800e-01n”, “tgrad_norm = 8.1805e-03n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 24n”, “tbeta = 3.4147e+01n”, “tJ = 6.6236e-01n”, “tgrad_norm = 7.1684e-03n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 25n”, “tbeta = 3.5588e+01n”, “tJ = 6.7200e-01n”, “tgrad_norm = 7.3689e-03n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 26n”, “tbeta = 3.7029e+01n”, “tJ = 6.8189e-01n”, “tgrad_norm = 7.4940e-03n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 27n”, “tbeta = 3.8471e+01n”, “tJ = 6.9442e-01n”, “tgrad_norm = 7.2038e-03n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 28n”, “tbeta = 3.9912e+01n”, “tJ = 7.0622e-01n”, “tgrad_norm = 6.1630e-03n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 29n”, “tbeta = 4.1353e+01n”, “tJ = 7.1699e-01n”, “tgrad_norm = 5.6555e-03n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 30n”, “tbeta = 4.2794e+01n”, “tJ = 7.2542e-01n”, “tgrad_norm = 5.0796e-03n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 31n”, “tbeta = 4.4235e+01n”, “tJ = 7.3167e-01n”, “tgrad_norm = 4.8476e-03n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 32n”, “tbeta = 4.5676e+01n”, “tJ = 7.3623e-01n”, “tgrad_norm = 5.0041e-03n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 33n”, “tbeta = 4.7118e+01n”, “tJ = 7.4070e-01n”, “tgrad_norm = 4.6467e-03n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 34n”, “tbeta = 4.8559e+01n”, “tJ = 7.4490e-01n”, “tgrad_norm = 4.7943e-03n”
]
}, {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 200x200 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step = 35n”, “tbeta = 5.0000e+01n”, “tJ = 7.5133e-01n”, “tgrad_norm = 4.1301e-03n”
]
}
], “source”: [
“# assert Falsen”, “import optaxn”, “n”, “# hyperparametersn”, “num_steps = 35n”, “learning_rate = 0.1n”, “n”, “# initialize adam optimizer with starting parametersn”, “params = np.ones_like(params0) * 0.5n”, “optimizer = optax.adam(learning_rate=learning_rate)n”, “opt_state = optimizer.init(params)n”, “n”, “# store historyn”, “objective_history = []n”, “params_history = [params]n”, “beta_history = []n”, “n”, “# gradually increase the binarization strengthn”, “beta0 = 1n”, “beta_max = 50n”, “n”, “for i in range(num_steps):n”, “ # compute gradient and current objective funciton valuen”, “ density = get_density(params, beta)n”, “n”, “ plt.subplots(1, 1, figsize=(2, 2))n”, “ plt.imshow(np.flipud(1 - density.T), cmap="gray", vmin=0, vmax=1)n”, “ plt.axis("off")n”, “ plt.show()n”, “n”, “ perc_done = i / (num_steps - 1)n”, “n”, “ beta = beta0 + perc_done * (beta_max - beta0)n”, “ value, gradient = grad_fn(params, step_num=i + 1, beta=beta)n”, “n”, “ # outputsn”, “ print(f"step = {i + 1}")n”, “ print(f"\tbeta = {beta:.4e}")n”, “ print(f"\tJ = {value:.4e}")n”, “ print(f"\tgrad_norm = {np.linalg.norm(gradient):.4e}")n”, “n”, “ # compute and apply updates to the optimizer based on gradient (-1 sign to maximize obj_fn)n”, “ updates, opt_state = optimizer.update(-gradient, opt_state, params)n”, “ params[:] = optax.apply_updates(params, updates)n”, “n”, “ # cap the parametersn”,
- <<<<<<< Updated upstream
“ params = np.clip(params, 0.0, 1.0)n”,
“n”, “ # save historyn”, “ objective_history.append(value)n”, “ params_history.append(params)n”, “ beta_history.append(beta)n”, “n”, “power = objective(params_history[-1], beta=beta)n”, “objective_history.append(power)”
]
}, {
“cell_type”: “code”, “execution_count”: 24, “id”: “9e23ed83-80d3-48a9-848f-c1367468b359”, “metadata”: {}, “outputs”: [], “source”: [
“params_final = params_history[-1]”
]
}, {
“cell_type”: “markdown”, “id”: “98b1ebc5-643a-49d2-90ea-483403d52db5”, “metadata”: {}, “source”: [
“## Analyzing Resultsn”, “n”, “Now we can take a look at our optimization results and make some figures.n”, “n”, “We’ll first plot the objective function value history, and then look at the transmission spectrum and field profiles of our final device.”
]
}, {
“cell_type”: “code”, “execution_count”: 25, “id”: “58ae6972-9f74-4ec7-891a-5a11e6a95161”, “metadata”: {}, “outputs”: [
- {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 640x480 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}
], “source”: [
“plt.plot(objective_history)n”, “plt.xlabel("iterations")n”, “plt.ylabel("objective function")n”, “plt.show()”
]
}, {
“cell_type”: “code”, “execution_count”: 26, “id”: “23dd95a6-0112-4c57-a945-cca3b5e548a1”, “metadata”: {}, “outputs”: [], “source”: [
“mnt_fld = td.FieldMonitor(n”, “ size=(td.inf, td.inf, 0), center=(0, 0, 0), freqs=[fmin, freq0, fmax], name="fields"n”, “)n”, “n”, “sim_final = get_sim(params_final, beta=beta)n”, “n”, “sim_final = sim_final.updated_copy(monitors=list(sim_final.monitors) + [mnt_fld])”
]
}, {
“cell_type”: “code”, “execution_count”: 27, “id”: “a0db3c79-03ca-45cc-b4a0-3402de15ff7f”, “metadata”: {}, “outputs”: [
- {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 640x480 with 2 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}
], “source”: [
“sim_final.plot_eps(z=0, monitor_alpha=0.0, source_alpha=0.0)n”, “plt.show()”
]
}, {
“cell_type”: “code”, “execution_count”: 28, “id”: “f203c7e5-f791-4bd1-bdbc-cecebe3e9c2a”, “metadata”: {}, “outputs”: [
- {
- “data”: {
- “text/html”: [
“<pre style="white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,’DejaVu Sans Mono’,consolas,’Courier New’,monospace"><span style="color: #7fbfbf; text-decoration-color: #7fbfbf">14:50:33 EDT </span>Created task <span style="color: #008000; text-decoration-color: #008000">’bend_transmission_mf’</span> with task_id n”, “<span style="color: #7fbfbf; text-decoration-color: #7fbfbf"> </span><span style="color: #008000; text-decoration-color: #008000">’fdve-2c8321a0-a619-4955-be76-0413614c27ac’</span> and task_type <span style="color: #008000; text-decoration-color: #008000">’FDTD’</span>. n”, “</pre>n”
], “text/plain”: [
“u001b[2;36m14:50:33 EDTu001b[0mu001b[2;36m u001b[0mCreated task u001b[32m’bend_transmission_mf’u001b[0m with task_id n”, “u001b[2;36m u001b[0mu001b[32m’fdve-2c8321a0-a619-4955-be76-0413614c27ac’u001b[0m and task_type u001b[32m’FDTD’u001b[0m. n”
]
}, “metadata”: {}, “output_type”: “display_data”
}, {
- “data”: {
- “text/html”: [
“<pre style="white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,’DejaVu Sans Mono’,consolas,’Courier New’,monospace"><span style="color: #7fbfbf; text-decoration-color: #7fbfbf"> </span>View task using web UI at n”, “<span style="color: #7fbfbf; text-decoration-color: #7fbfbf"> </span><a href="https://tidy3d.simulation.cloud/workbench?taskId=fdve-2c8321a0-a619-4955-be76-0413614c27ac" target="_blank"><span style="color: #008000; text-decoration-color: #008000">’https://tidy3d.simulation.cloud/workbench?taskId=fdve-2c8321a0-a61</span></a>n”, “<span style="color: #7fbfbf; text-decoration-color: #7fbfbf"> </span><a href="https://tidy3d.simulation.cloud/workbench?taskId=fdve-2c8321a0-a619-4955-be76-0413614c27ac" target="_blank"><span style="color: #008000; text-decoration-color: #008000">9-4955-be76-0413614c27ac’</span></a>. n”, “</pre>n”
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”, “text/plain”: [
“<Figure size 640x480 with 1 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}
], “source”: [
“plt.scatter(freqs / 1e12, target(freqs), label="target")n”, “plt.plot(freqs / 1e12, transmission, label="measured")n”, “plt.xlabel("frequency (THz)")n”, “plt.ylabel("transmission (P_out / P_in)")n”, “plt.legend()n”, “plt.show()”
]
}, {
“cell_type”: “markdown”, “id”: “181882cc-ca9e-43ce-8b6e-e68db7b810c2”, “metadata”: {}, “source”: [
“We see that the final transmission spectrum more or less matches our expected bandpass filter!”
]
}, {
“cell_type”: “code”, “execution_count”: 30, “id”: “1e086827-fa39-47e1-b83f-fbef91fb9f6c”, “metadata”: {}, “outputs”: [
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“sim_data_final = web.run(sim_final, task_name="final")”
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“cell_type”: “code”, “execution_count”: 31, “id”: “5dbbbec3-9713-48e6-ac30-9df21d822ada”, “metadata”: {}, “outputs”: [
- {
- “data”: {
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”, “text/plain”: [
“<Figure size 1000x600 with 6 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}
], “source”: [
“f, axes = plt.subplots(3, 1, tight_layout=True, figsize=(10, 6))n”, “n”, “for ax, f in zip(axes, (mnt_fld.freqs)):n”, “ sim_data_final.plot_field(mnt_fld.name, field_name="E", val="abs^2", f=f, ax=ax)n”, “ ax.set_title(f"wvl={1000 * f / td.C_0:.0f} (nm)")”
]
}, {
“cell_type”: “markdown”, “id”: “724f1448-a601-4a47-abd6-2b33b5515bc7”, “metadata”: {}, “source”: [
“We see that the field patterns at the middle and edges of our spectrum behave as we would expect, respectively blocking and transmitting the light.”
]
}, {
“cell_type”: “markdown”, “id”: “f3109463-6b77-4bcc-9b0a-82008dc21413”, “metadata”: {}, “source”: [
“## Using Inverse Design Pluginn”, “n”, “Tidy3D now supports a higher level syntax for defining inverse design problems in a simpler way.n”, “n”, “Here we’ll show how to set up this same problem using that tool and run it for 2 iterations.n”, “n”, “For a full tutorial, refer to [this example](https://docs.simulation.cloud/projects/tidy3d/en/latest/notebooks/InverseDesign.html).”
]
}, {
“cell_type”: “code”, “execution_count”: 38, “id”: “aca68595-7d54-4069-880b-668214b0fc54”, “metadata”: {}, “outputs”: [], “source”: [
“import tidy3d.plugins.invdes as tdi”
]
}, {
“cell_type”: “code”, “execution_count”: 48, “id”: “e32999b5-85fb-4e32-a7e8-f9b6f19b347a”, “metadata”: {}, “outputs”: [], “source”: [
“# transformations on the parameters that lead to the material density array (0,1)n”, “filter_project = tdi.FilterProject(radius=radius, beta=beta_history[-1])n”, “n”, “# penalties applied to the state of the material density, after these transformations are appliedn”, “penalty = tdi.ErosionDilationPenalty(weight=1.0, length_scale=radius)n”, “n”, “design_region = tdi.TopologyDesignRegion(n”, “ size=design_region_static.geometry.size,n”, “ center=design_region_static.geometry.center,n”, “ eps_bounds=(n”, “ 1.0,n”, “ eps_mat,n”, “ ), # the minimum and maximum permittivity values in the final gridn”, “ transformations=[filter_project],n”, “ penalties=[penalty],n”, “ pixel_size=dl_design_region,n”, “)”
]
}, {
“cell_type”: “code”, “execution_count”: 49, “id”: “85f78505-39b3-4fd8-9707-6580910e4cec”, “metadata”: {}, “outputs”: [], “source”: [
“design = tdi.InverseDesign(n”, “ simulation=sim_base,n”, “ design_region=design_region,n”, “ task_name="invdes",n”, “)”
]
}, {
“cell_type”: “code”, “execution_count”: 50, “id”: “daa10522-dfcf-4ab5-b155-177585b71d60”, “metadata”: {}, “outputs”: [], “source”: [
“def post_process_fn(sim_data, **kwargs) -> float:n”, “ amps = sim_data[mnt_mode.name].amps.sel(direction="+", mode_index=mode_index)n”, “ transmission = np.abs(amps) ** 2n”, “ return get_metric(transmission)”
]
}, {
“cell_type”: “code”, “execution_count”: 52, “id”: “bf58d5f4-ab86-458c-b3e3-a4992634b1b9”, “metadata”: {}, “outputs”: [], “source”: [
“optimizer = tdi.AdamOptimizer(n”, “ design=design,n”, “ num_steps=1,n”, “ learning_rate=learning_rate,n”, “ results_cache_fname="data/invdes_history_filter.hdf5",n”, “)”
]
}, {
“cell_type”: “code”, “execution_count”: 53, “id”: “be749cd3-20ee-4c62-a281-28c6b4e12f20”, “metadata”: {}, “outputs”: [
- {
“name”: “stdout”, “output_type”: “stream”, “text”: [
“step (1/1)n”, “tobjective_fn_val = 6.785e-01n”, “tgrad_norm = 6.173e-03n”, “tpost_process_val = 8.023e-01n”, “tpenalty = 1.238e-01n”
]
}
], “source”: [
“result = optimizer.run(n”, “ params0=params_history[-1].reshape((nx, ny, 1)), post_process_fn=post_process_fnn”, “)”
]
}, {
“cell_type”: “code”, “execution_count”: 55, “id”: “3371f339-076a-447c-b657-728a9f406704”, “metadata”: {}, “outputs”: [
- {
- “data”: {
“image/png”: 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”, “text/plain”: [
“<Figure size 640x480 with 2 Axes>”
]
}, “metadata”: {}, “output_type”: “display_data”
}
], “source”: [
“sim_last = result.sim_lastn”, “ax = sim_last.plot_eps(z=0, monitor_alpha=0.0, source_alpha=0.0)”
]
}, {
“cell_type”: “code”, “execution_count”: null, “id”: “0632b041-633f-47a5-8b42-f99f541f561d”, “metadata”: {}, “outputs”: [], “source”: []
}
], “metadata”: {
- “applications”: [
“Passive photonic integrated circuit components”
], “description”: “This notebook demonstrates the inverse design of an integrated bandpass filter with permittivity binarization and minimum feature size control.”, “feature_image”: “./img/adjoint_17.png”, “features”: [
“Adjoint inverse design”, “2D simulation”
], “kernelspec”: {
“display_name”: “Python 3 (ipykernel)”, “language”: “python”, “name”: “python3”
}, “keywords”: “inverse design, silicon photonics, filter, photonic integrated circuits, design optimization, adjoint, Tidy3D, FDTD”, “language_info”: {
- “codemirror_mode”: {
“name”: “ipython”, “version”: 3
}, “file_extension”: “.py”, “mimetype”: “text/x-python”, “name”: “python”, “nbconvert_exporter”: “python”, “pygments_lexer”: “ipython3”, “version”: “3.11.7”
}, “title”: “Inverse Design of an Integrated Bandpass Filter in Tidy3D | Flexcompute”
}, “nbformat”: 4, “nbformat_minor”: 5
}