{
"cells": [
{
"cell_type": "markdown",
"id": "7b20a5ca",
"metadata": {},
"source": [
"# Edge coupler: Gaussian beam to inverse taper\n",
"\n",
"A finite Gaussian beam illuminates a quadratic 190-to-500 nm silicon inverse taper and couples into its guided fundamental mode.\n",
"\n",
"This executable notebook follows the same progression as the official Tidy3D\n",
"example: inspect parameters, construct geometry and ports, plot the actual\n",
"voxelized scene, execute one broadband FDTDX simulation, visualize the recorded\n",
"electric field, and compare the reduced observables with a frozen Tidy3D result."
]
},
{
"cell_type": "markdown",
"id": "7a87a93b",
"metadata": {},
"source": [
"## Imports and accelerator"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "9f961c04",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-16T19:36:57.220159Z",
"iopub.status.busy": "2026-08-16T19:36:57.219927Z",
"iopub.status.idle": "2026-08-16T19:37:00.771110Z",
"shell.execute_reply": "2026-08-16T19:37:00.770509Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"JAX devices: [CudaDevice(id=0)]\n"
]
}
],
"source": [
"import os\n",
"os.environ.setdefault(\"XLA_PYTHON_CLIENT_PREALLOCATE\", \"false\")\n",
"\n",
"from time import perf_counter\n",
"import warnings\n",
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import pandas as pd\n",
"import jax\n",
"import fdtdx\n",
"from IPython import get_ipython\n",
"\n",
"from benchmarks.device_specs import MODE_PORT_SPECS\n",
"\n",
"get_ipython().run_line_magic(\"matplotlib\", \"inline\")\n",
"warnings.filterwarnings(\"ignore\", category=FutureWarning, module=r\"tidy3d\\.components\\.mode\")\n",
"plt.rcParams.update({\"figure.figsize\": (9, 4.5), \"figure.dpi\": 120})\n",
"CASE_ID = \"device_edge_coupler\"\n",
"UM = 1e-6\n",
"spec = MODE_PORT_SPECS[CASE_ID]\n",
"print(f\"JAX devices: {jax.devices()}\")"
]
},
{
"cell_type": "markdown",
"id": "b484747b",
"metadata": {},
"source": [
"## 1. Physical and numerical parameters"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "f7fa36b0",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-16T19:37:00.773092Z",
"iopub.status.busy": "2026-08-16T19:37:00.772677Z",
"iopub.status.idle": "2026-08-16T19:37:00.785137Z",
"shell.execute_reply": "2026-08-16T19:37:00.784354Z"
}
},
"outputs": [
{
"data": {
"text/html": [
"
\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" value | \n",
"
\n",
" \n",
" \n",
" \n",
" | domain (µm) | \n",
" (17.92, 4.48, 4.48) | \n",
"
\n",
" \n",
" | center wavelength (µm) | \n",
" 1.55 | \n",
"
\n",
" \n",
" | monitor wavelengths (µm) | \n",
" (1.5, 1.55, 1.6) | \n",
"
\n",
" \n",
" | grid pitch (µm) | \n",
" 0.04 | \n",
"
\n",
" \n",
" | maximum run time (ps) | \n",
" 2.0 | \n",
"
\n",
" \n",
" | background index | \n",
" 1.444 | \n",
"
\n",
" \n",
" | device thickness (µm) | \n",
" 0.22 | \n",
"
\n",
" \n",
" | PML cells per face | \n",
" 8 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" value\n",
"domain (µm) (17.92, 4.48, 4.48)\n",
"center wavelength (µm) 1.55\n",
"monitor wavelengths (µm) (1.5, 1.55, 1.6)\n",
"grid pitch (µm) 0.04\n",
"maximum run time (ps) 2.0\n",
"background index 1.444\n",
"device thickness (µm) 0.22\n",
"PML cells per face 8"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Notebook quadratic 190-to-500 nm inverse taper shortened from 25 to 16 um; a compact 0.65 um 1/e-radius Gaussian beam replaces the notebook's 2.5 um fiber mode.\n"
]
}
],
"source": [
"parameters = pd.Series(\n",
" {\n",
" \"domain (µm)\": spec.domain_um,\n",
" \"center wavelength (µm)\": spec.wavelength0_um,\n",
" \"monitor wavelengths (µm)\": spec.wavelengths_um,\n",
" \"grid pitch (µm)\": spec.dl_um,\n",
" \"maximum run time (ps)\": spec.run_time_s * 1e12,\n",
" \"background index\": spec.background_index,\n",
" \"device thickness (µm)\": spec.thickness_um,\n",
" \"PML cells per face\": spec.pml_layers,\n",
" },\n",
" name=\"value\",\n",
")\n",
"display(parameters.to_frame())\n",
"print(spec.adaptation)"
]
},
{
"cell_type": "markdown",
"id": "88234b9d",
"metadata": {},
"source": [
"## 2. Geometry and ports\n",
"\n",
"The plotted vertices below are the arrays passed to `fdtdx.ExtrudedPolygon`.\n",
"Port arrows use the same centers and propagation directions passed to the source\n",
"and mode-overlap detectors."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "08116f42",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-16T19:37:00.786802Z",
"iopub.status.busy": "2026-08-16T19:37:00.786550Z",
"iopub.status.idle": "2026-08-16T19:37:00.949407Z",
"shell.execute_reply": "2026-08-16T19:37:00.948158Z"
}
},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(figsize=(11, 5.5))\n",
"for layer in spec.layers:\n",
" vertices = np.asarray(layer.vertices_um)\n",
" ax.fill(vertices[:, 0], vertices[:, 1], alpha=0.72, label=layer.name)\n",
"\n",
"ports = (spec.input_port, *spec.output_ports)\n",
"for port in ports:\n",
" x, y, _ = port.center_um\n",
" delta = 0.55 if port.direction == \"+\" else -0.55\n",
" dx, dy = (delta, 0) if port.axis == 0 else (0, delta)\n",
" ax.annotate(port.name, (x + dx, y + dy), (x, y), arrowprops={\"arrowstyle\": \"->\"})\n",
" ax.scatter([x], [y], s=22, color=\"black\")\n",
"\n",
"ax.set(\n",
" xlabel=\"x (µm)\", ylabel=\"y (µm)\", title=\"Exact polygon and port geometry\",\n",
" xlim=(-spec.domain_um[0] / 2, spec.domain_um[0] / 2),\n",
" ylim=(-spec.domain_um[1] / 2, spec.domain_um[1] / 2),\n",
" aspect=\"equal\",\n",
")\n",
"ax.legend(loc=\"best\", fontsize=7)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "f708a245",
"metadata": {},
"source": [
"## 3. Build the FDTDX scene\n",
"\n",
"Geometry is extruded through the device layer. `PortSpec` selects either a solved\n",
"waveguide mode or an analytic Gaussian source. The optional `FieldMonitorSpec`\n",
"records a complex electric-field phasor across the device plane during the same\n",
"pulsed run used for S-parameters."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "3eb998a8",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-16T19:37:00.951718Z",
"iopub.status.busy": "2026-08-16T19:37:00.951455Z",
"iopub.status.idle": "2026-08-16T19:37:19.317719Z",
"shell.execute_reply": "2026-08-16T19:37:19.317028Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Yee grid: (464, 128, 128)\n",
"Time-step ceiling: 26,225\n"
]
}
],
"source": [
"domain_m = tuple(value * UM for value in spec.domain_um)\n",
"resolution = spec.dl_um * UM\n",
"materials = {}\n",
"polygons = []\n",
"for layer in spec.layers:\n",
" vertices = np.asarray(layer.vertices_um) * UM\n",
" center = 0.5 * (vertices.min(axis=0) + vertices.max(axis=0))\n",
" material = materials.setdefault(\n",
" layer.refractive_index,\n",
" fdtdx.Material(permittivity=layer.refractive_index**2),\n",
" )\n",
" polygon = fdtdx.ExtrudedPolygon(\n",
" name=layer.name,\n",
" vertices=vertices - center,\n",
" axis=2,\n",
" partial_real_shape=(None, None, spec.thickness_um * UM),\n",
" materials={\"device\": material},\n",
" material_name=\"device\",\n",
" placement_order=layer.placement_order,\n",
" subpixel_smoothing=True,\n",
" )\n",
" polygons.append((polygon, (center[0] + domain_m[0] / 2, center[1] + domain_m[1] / 2, domain_m[2] / 2)))\n",
"\n",
"def make_port(port):\n",
" center = tuple((coordinate + extent / 2) * UM for coordinate, extent in zip(port.center_um, spec.domain_um, strict=True))\n",
" return fdtdx.PortSpec(\n",
" center=center, axis=port.axis, direction=port.direction,\n",
" width=port.width_um * UM, height=port.height_um * UM,\n",
" mode_index=0, filter_pol=port.filter_pol,\n",
" source_kind=port.source_kind,\n",
" gaussian_mode_radius=(port.gaussian_mode_radius_um * UM if port.gaussian_mode_radius_um else None),\n",
" name=port.name,\n",
" )\n",
"\n",
"field_monitor = fdtdx.FieldMonitorSpec(\n",
" name=\"field_xy\",\n",
" center=(domain_m[0] / 2, domain_m[1] / 2, domain_m[2] / 2),\n",
" size=(domain_m[0], domain_m[1], resolution),\n",
" wavelengths=(spec.wavelength0_um * UM,),\n",
" components=(\"Ex\", \"Ey\", \"Ez\"),\n",
")\n",
"objects, arrays, config = fdtdx.setup_sparams_simulation(\n",
" polygons=polygons,\n",
" input_ports=[make_port(spec.input_port)],\n",
" output_ports=[make_port(port) for port in spec.output_ports],\n",
" wavelength=spec.wavelength0_um * UM,\n",
" wavelengths=tuple(value * UM for value in spec.wavelengths_um),\n",
" resolution=resolution,\n",
" max_time=spec.run_time_s,\n",
" domain_size=domain_m,\n",
" background_material=fdtdx.Material(permittivity=spec.background_index**2),\n",
" pml_layers=spec.pml_layers,\n",
" field_monitors=(field_monitor,),\n",
")\n",
"print(f\"Yee grid: {objects.volume.grid_shape}\")\n",
"print(f\"Time-step ceiling: {config.time_steps_total:,}\")"
]
},
{
"cell_type": "markdown",
"id": "cf2ebce5",
"metadata": {},
"source": [
"## 4. Plot the voxelized simulation geometry"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "a81096d3",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-16T19:37:19.319170Z",
"iopub.status.busy": "2026-08-16T19:37:19.319014Z",
"iopub.status.idle": "2026-08-16T19:37:19.776495Z",
"shell.execute_reply": "2026-08-16T19:37:19.775850Z"
}
},
"outputs": [
{
"data": {
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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, axes = plt.subplots(1, 2, figsize=(12, 4.5))\n",
"fdtdx.plot_material_from_side(config, arrays, \"z\", position=0.0, ax=axes[0], plot_legend=True)\n",
"fdtdx.plot_material_from_side(config, arrays, \"y\", position=0.0, ax=axes[1], plot_legend=True)\n",
"axes[0].set_title(\"Device plane permittivity\")\n",
"axes[1].set_title(\"Vertical permittivity section\")\n",
"plt.tight_layout()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "b09979b9",
"metadata": {},
"source": [
"## 5. Run one broadband simulation\n",
"\n",
"The mode source, normalization monitor, all output monitors, energy-decay monitor,\n",
"and spatial field monitor are evaluated together. The simulation may terminate\n",
"before the time ceiling once residual energy has decayed sufficiently."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "da612f20",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-16T19:37:19.777860Z",
"iopub.status.busy": "2026-08-16T19:37:19.777727Z",
"iopub.status.idle": "2026-08-16T19:37:55.985116Z",
"shell.execute_reply": "2026-08-16T19:37:55.984483Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Local FDTDX runtime: 36.2 s\n"
]
}
],
"source": [
"started = perf_counter()\n",
"sparams, detector_states = fdtdx.calculate_sparam(\n",
" objects, arrays, config, spec.input_port.name, show_progress=False,\n",
")\n",
"elapsed_s = perf_counter() - started\n",
"print(f\"Local FDTDX runtime: {elapsed_s:.1f} s\")"
]
},
{
"cell_type": "markdown",
"id": "50dfc3b0",
"metadata": {},
"source": [
"## 6. Plot the simulated electric field"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "95d62f46",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-16T19:37:55.986609Z",
"iopub.status.busy": "2026-08-16T19:37:55.986415Z",
"iopub.status.idle": "2026-08-16T19:37:56.159866Z",
"shell.execute_reply": "2026-08-16T19:37:56.159085Z"
}
},
"outputs": [
{
"data": {
"image/png": 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7iy++GPe73/0qUQwxej1nhtdFLshncs1qgkYeKBQKhUKhUCgUCoVCMQb+8i//Etdddx0+8YlP+M8uuugiXHTRRXjjG98IIvKff/7zn8fLX/5yXHfddQCA+9///jjooIPw2c9+1n8GAL/+9a9xxhlnYK+99sJhhx22bG3pCiUPFAqFQqFQKBQKhUKxbcDa2f6ZEM9+9rPxjne8A3/6p3+Kpz3taXjWs56Fpz3taXj1q1+NP/uzP0uuveyyy3DmmWfi5ptv9p999rOfxcMf/nAceOCBOO644/DsZz8bD33oQ7F+/Xqcd955PvHiasLqi4VQKBQKhUKhUCgUCoVileOv//qv8ZKXvASXXHIJ8jzHe97zntrtCs9+9rOxcePGJA/CQx7yEHz961/H97//fVx77bXI8xwnnXQSDjnkEBizOn38Sh4oFAqFQqFQKBQKhWL1I0pwOFOZU2CfffbB8ccf33rNYx7zGDzmMY+p/e7AAw/EgQceOFUdlgurk9JQKBQKhUKhUCgUCoVCsWqgkQcKhUKhUCgUCoVCoVj9WIWRB9sTNPJAoVAoFAqFQqFQKBQKRSs08kChUChWCf7hH/4B3/rWt1qvOfbYY/G85z1vmWq0dnD99dfjLW95C4488ki87GUv63TP3//93+Paa6/FGWeckXx++eWX473vfW/rvTvttBM+8pGPdJK3WvCrX/0K//mf/4mvfvWr2Lp1K17+8pfjSU960lgybr311kqG6RhHHHEEXv3qV099j2Dr1q04++yz8Y1vfAOLi4t45CMfiec///m4173uNVa9FQqFQrGNwC5B5MEUJy5sb1DyQKFQKFYJvvKVr+C8885rvea+973vmiEPLrzwQnzsYx+byEgdF7/97W9x1llnYX5+vjN5cMEFF2DTpk0VY/+GG27AWWed1XrvbrvtViEPmuTNCpPq8+6778bjH/94fPe734WNFlBPetKTxu6Xu+66a6RuykTAJPcAwC9/+Us85SlPwZVXXpl8/s53vhP//u//jkMOOaRjrRUKhUKxzUC3LawolDxQKBSKVYY3velNjVl3DzjggGWuzdLhRz/6Ec4666yJjNTVgMc85jF43eteV/vd/Pz8Mtdmcn0uLCzgO9/5Du5zn/vgD/7gD3D99dfjK1/5ylR1edSjHoU3vOENlc8f9KAHzeye5z3vebjyyiux33774dWvfjXWrVuHT37yk9i0aROe8Yxn4Ic//CHWr18/eSMUCoVCoVAkUPJAoVAoVhmOOuooHHPMMStdDcUI3P/+98cLXvCCla7G1Nhhhx3wrW99C4cccgiICK9//eunJg/22WefsXUzzj0XXnghvvrVr2KvvfbCN77xDey2224AgFe+8pV4whOegEsvvRRnnnlm63YIhUKhUGx7sIWFnXGkwKzlrWUoeaBQKBTbKM477zycffbZtXvCf/e73+H1r389hsMh3v/+92PXXXf1391666343Oc+h+9973vYsmULHvCAB+DZz342Hv7wh9eWc/vtt/vrt27dio0bN+JZz3oW9ttvP3/Npz71KfzXf/0X3va2t+EhD3lIcv/mzZvxf/7P/8GTn/xkvOQlLwEAvOtd78K5554LADjzzDMTY/X000/Hhg0bJq7vpk2b8PnPfx633norHvzgB+PFL35xB22uTiwsLODLX/4yLr/8ctxwww24173uhcc//vE49thjYUzIeTyOPsvo9/s49NBDl6wNSwFp62te8xpPHABAr9fDSSedhOOOOw7nnntuJ/Jg3LELAP/xH/+BT3/603jNa16DAw88EJ/61Kdw+eWXY4cddsBznvMc/N7v/R4A13//9m//hk2bNoGI8PSnPx1PfepTZ6EChUKhUCiWHUoeKBQKxTaKpzzlKXjLW96Cz3zmM3jYwx6GI4880n/3qle9CmeddRZOPfXUhDg477zz8OIXvxi33357Iuvkk0/GKaecgr/+679OPj/33HPxkpe8pHL9SSedhI9//ON44QtfCAD41re+hbPOOguvetWrKgbYb37zG5x11lnYcccdvQH2P//zP7jssssAOGN/06ZN/vr3vve93tgdt74nnXQS3vWudyWfvec978G73/3uOhWuanzve9/DU57yFNxyyy3J5+973/tw+OGH47/+67+8nrrqc7lw00034eSTT8bPf/5z7Lbbbnjc4x6HP/zDP0SWZTO559vf/jYAF6VTxpFHHgkiwne/+91OdR137ALAVVddhbPOOgsHH3wwXvrSl+KHP/yh/+79738/PvrRj+KP/uiPcMwxxyRJUE8//XS8853vxFve8pZOdVMoFApFCRZLkDBxtuLWMpQ8UCgUilWGv//7v8enPvWp2u9OOeUU7/Ffv349PvvZz+Ixj3kMTjjhBHzve9/D7rvvjo997GM466yz8OQnPxknnXSSv/db3/oWnvvc56LX6+FFL3oRDj30UKxbtw5XXnklPvGJT+D//J//gwMPPBDHHXccAODSSy/F8ccfj+FwiEMOOQTHHXcc9tprL/zkJz/BOeecg5/97GcTt/Gkk07C/e9/f3z84x/Hy172smSP/i677DJRfc855xxPHPx//9//hyOOOAK33HILPv7xj+P1r3/9xHVtwje/+c3GMPtxTnVowi233IK7774bL3rRi/CIRzwC9773vfHzn/8cn/nMZ7Bp0yb81V/9lU/K2EWfy4lvf/vb3sAHHIFxwAEH4Nxzz8XGjRunvuf6668HUJ8PYccdd8Tuu++Om2++GXfccQd23nnnWTSpFm9/+9ux00474W1vexv23ntvXHzxxfjMZz6DN7zhDfjc5z6H6667DieddBIe8IAH4LLLLsPHPvYxvPOd78QrXvEK7L777ktWL4VCoVAolgJKHigUCsUqw4UXXtj43YknnphsF9h///3xj//4j3jlK1+JF73oRXjve9+LP/uzP8N97nMfnHXWWUlo+9ve9jbkeY5LLrkEj3nMYxK5r3jFK3DggQfigx/8oDfG3/a2t2E4HOJVr3oVTj/99ETWO9/5TvziF7+YuI1PfvKT8eMf/xgf//jHcfjhh9ca4ePW9+///u8BAKeddhpOPPFEf+3rX/96HHzwwfjd7343cX3rcP311zeeEjDOqQ5NeNSjHoWf//znlWMH3/SmN+FRj3oUzjrrLN8vXfS5XNhxxx3xR3/0RzjwwAOxfv16XHnllfjnf/5nXHHFFTjmmGPwgx/8AOvWrZvqHunLnXbaqbYOO+20E26++WbceeedS0oe7Lzzzvj+97/vt0786Z/+Ke6++26cd955+MY3voHvf//7uN/97gfA5WPIsgz/9E//hAsvvHDNnJqiUCgUywo9bWFFoeSBQqFQrDK0nbZQ57V9xStegYsuugif+cxncOmll2LLli0477zzcJ/73Mdfs3XrVlxwwQXYaaedcPrppwMArLX+aD5rLdatW4fvfe97AIB77rkHX/nKV7DDDjvgfe97X0IcAG5v+f3vf/+ZtLcO49b3rrvuwje/+U3svffeeM1rXpPI2mWXXfCmN70Jr33ta2dax7bTFpq86+Pg3ve+N7Zs2YLPfe5zuOyyy/DrX/8aCwsLAIDhcIg777wTN9xww5L2w7jYbbfdsHnzZtz73vdOPj/ppJNw2GGH4Sc/+Qk++clP4pWvfOVU98hWhqIoauuR53ly3VLhFa94RZJzAXBRJ+eddx5OOOEETxwIjjrqKPzTP/3TVFE7CoVCoVCsFJQ8UCgUilWGSU5b+MhHPoLzzjsPt99+O1772tfi6KOPTr6/6aabsLCwgIWFBfzzP/9zoxwxun71q19hOBziUY961IocdzdJfYuiwMMe9rAK0QEszRGXS33awg9/+EM89alPxebNmxuvufPOO5es/Emwbt26SlQBANz3vvfFm9/8ZvzFX/wFvvrVryZEwCT3bNiwAb/97W/x29/+tjb64NZbb/XXLSXqtk1ImW3f3XHHHUtaL4VCoViz0MiDFYWSBwqFQrEG8MEPfhB33303AODLX/4yTj311GSvuxjUD3jAA/COd7yjUY54ans993q46667OpVPRADgIwNibNmypZOMGJPW95577qm9TnSzLeEVr3gFNm/ejEMPPdTnm5ifnwcR4SMf+Qi+/vWv1+p7tWLfffcFgEryy0nu2bhxIzZv3oyrrrrKXyP45S9/idtvvx377LNPLSkxDobDYev3dURVl+8UCoVCMSGsdX9mLVPRCUoeKBQKxTaOr371qzjllFPwiEc8AieccALe+ta34uUvfzk+97nP+Wv22msv7LzzzvjFL36BY445phIiXoZc/+Mf/xibN2/GAx/4wNbrJTrhpptuqnz3ne98p/YeMa7qQs/Hre/ee++NdevW4YorrsDtt99e8ThfcsklrfevNiwuLuJrX/sa9ttvP3zjG9+ohN+/733vq9zTps/VADkBYu+99576niOOOALnn38+vvjFL1aOPvziF78IAPj93//9ser3q1/9qvLZj3/847FkKBQKhUKxlqG0uEKhUGzD+M1vfoPnP//5GAwG+Ld/+ze85S1vwbHHHotzzjkHH/7wh/11vV4Pxx9/PBYWFvCc5zwHN9xwQ0XW17/+dfz7v/87AOfRf+5zn4vhcIjnP//5lT3aV111Fb7yla/43x/60IcCAM444wy/Lx8Avv/97zdGDkgiu+uuu67y3bj17fV6OOaYY3DnnXfixBNPxNatW5PrPvCBD9TWYbUiyzLMz8/jrrvuwm233eY/Hw6H+Ju/+RtcfvnllXva9Llc+PSnP41rr7228vnZZ5/t++BpT3va1Pf88R//MYwx+NjHPoavfe1r/vOf/exnOOWUUwAAJ5xwwlh1P/3005PIlZtvvtmf3tEU0aJQKBSK5YW1gC1m/EcDDzpDIw8UCoVilaHtqMaDDz4Yb3jDG/zvf/Inf4IbbrgBZ5xxht/X//GPfxyPetSj8Jd/+Zc44ogjcNBBBwFwJyScf/75uPjii7Hffvvh0EMPxd57743f/OY3+PGPf4wbb7wRf/7nf44//MM/BAC84x3vwH/+539i06ZNeNjDHoaDDz4Ye+65J37yk5/giiuuwCmnnOKPBDz22GOx884744ILLsBDHvIQHHLIIbj55puxadMmPOQhD8Gvf/3rSlsOOeQQAMD73/9+XH755T664PTTT8eGDRvGru/f/M3f4D/+4z/wqU99ChdddBEOOeQQ/PrXv8Zll12G/fbbDz/60Y9m0DsBbUc1xu2YBMYYHH300fjSl76EjRs34nGPexyICJdffjluvPFGPOQhD6m0Z5Q+2/D2t7/dG/ByXOKZZ57pCaLy0ZO//vWv8frXvx477LADzjjjDP/5v/zLv+AFL3gBHvawh+EBD3gAer0err76ai/7qU99Ko499tik7EnueehDH4rXvva1OO2003DkkUfiSU96EtatW4cLL7wQd911F4466ig84xnPGK3oCNdccw0e9KAH4bDDDsOWLVuwadMmH/Hw+c9/HkVR4JOf/ORYMhUKhUKhWEtQ8kChUChWGdqOarzttts8efD+978f//7v/47jjz++kr3+05/+NI488kg873nPw7e//W3ssMMO2GOPPbBp0yaceOKJOPfcc3HppZcmsh/3uMclRtpee+2FSy65BC9/+ctxwQUXJNcfcMABOPLII/3v97rXvXDWWWfhhS98IX72s5/5SIVnPOMZeP3rX59cK3jIQx6CE088ER/60Ifw3//93/7z9773vdiwYcPY9T3ggANw3nnn4cUvfjFuvPFG3HjjjQCAJz3pSfjrv/7rShLJadF2VGPcjknxkY98BL/61a9w2WWX+QiLHXfcER/72Mdw0UUXVciDUfpsw3/913/hG9/4RvLZpk2b/LaB8tGTv/vd73DWWWdhw4YNCXnwwhe+EDfeeCOuuOIKXH311f7z9evX41WvehXe+c53+vwY09wDuPFfFAX+7//9v/if//kf//lxxx2HT3ziE63trcO73vUuvPWtb/XbHvbaay+cc845eM1rXoOLL74YX/7yl8eWqVAoFIoZQxMmrijIbkvZlhQKhWIN4+KLL8bPf/7z1mvue9/74klPehKstTj77LOxsLCA4447rvYs+wsvvBC/+MUvcPjhh1eODrzlllvwne98B7fffjv22msvbNy4EXvttVdjuT/72c/w/e9/H3me48EPfjAe8YhH1Bp0d955Jy655BLcddddeMQjHoGHP/zh+O1vf4v/+I//wEMe8hAcdthhlXs2b96M733ve7jrrrtgrcVznvMczM/PT1zfLVu24JJLLsGtt96KBz/4wTjooINw66234stf/jI2btyIww8/vLGdMY455hhs2rQp2TYAADfeeCMuuuiikfeX29Ekrw3WWlx++eW47rrrsGHDBvz+7/8+1q9fj0svvRQ/+clPcOyxx1aIgS76LOO///u/ccsttzR+X9bbXXfdhXPPPReDwQDHH3985frrrrsOP/7xj3HHHXdgzz33xKGHHjry1I5J7gFcno1vfvObGA6HeOQjHzn2MZmvf/3r8Y//+I/46le/ikMPPRRf+cpXUBQFjjzySKxfvx633347vvKVr+Dwww/3x59effXV+Pa3v40jjjiikg/kuuuuw9e//nU8+tGPxsMe9rDku1/+8pe44IIL8MhHPtJHBCkUCoViNK688koccMABuPx1z8D+97nXbGX/6lY86oPn4YorrsD+++8/U9lrDUoeKBQKhUJRg0mM/eWUp5gNYvLgcY973EpXR6FQKBQ18OTBicctDXnwoS8qedABmjBRoVAoFAqFQqFQKBQKRSs054FCoVAoFAqFQqFQKFY95LSFWctUdIOSBwqFQqFQKLZbvPCFL8SjH/1of9yoQqFQKFYxCixBwsTZilvLUPJAoVAoFIoavPnNb649YnK1yFPMBoceeigOPfTQla6GQqFQKBSrHkoeKBQKhUJRg6OOOmpVy1MoFAqFYrtDgdlHCmjkQWdowkSFQqFQKBQKhUKhUCgUrdDIA4VCoVAoFAqFQqFQrH5YCzvrnAeaMbEzlDxowW233YaLL74Y97vf/TA3N7fS1VEoFAqFQqFQKBSKTti6dSt+/vOf44lPfCJ22WWXla6OYg1AyYMWXHzxxXjmM5+50tVQKBQKhUKhUCgUionwhS98Ac94xjNWuhqzgeY8WFEoedCC+93vfvxTBoBWsiqMWYXUrFRbZlVuWQ+j5NKIa9pmjCaddy3Ttshokz9JmZOWUSd3lM7K8ru2Yxy545TZlr5lqdoyifxxytSUNNsHpP9n9WyU5bZhmjLHWWlNMpbHXclN0pZJnndBlzbVyW8qs67+k7y7Jun3Lroryy2XLd+1yR1nHBQ1Zba9+6n0p3QVRZ9ZW5LU1Lb4s7J+TOnfmnKSIprKHKe/Qttay2ost06fbWuc+r7sXDYXUW756LJH1WXMOqw5jH6OCMarzNoc1t4V2TQKxXRQ8qAFYasCYXUs5OsWIZNg1ovUUaWt8ARPo9pr4N5wVX3Wv/RGtKm2vPHkdy4zKau+jFFljZbbBe1lj5ZX9920ZBmV/u2KrouaSeU3ldkkX7H2IeTBrGW2jePlfA8sx/tzGyAP/BzZdc6dsE2j9u5WypqAPLDlby1LiuRUyhl3HKRtKb/D6stKyyT5PWlekxFt+WNTKc+XVdMmit8FjWpsK7Nrf5UN+C76jEmemjrUlZ20Mf23Xp/j1KGpLnWof8dOVodtGeVnte6Kmmc45cvW1vbraabuNpmKTlDyYJtCPDHoKF+9WKk3WkQibFNlty1cZ0UgTHLPOATCtNhuVkGKWix3/y8vgawQ6Hu7G2appzGMzE4J0xoMuWX3gi9VeU0kVvTzsja1JuJguyIOBB0avB3pxC5BwkSrCRM7Q8mDTojDSlcTVtJY3BZAU7/QxaMwToRAa11sSpd2kT9WZIC0t2YS7BQBMnbEQdO97NHoFPXRKJD/rMRGtLayR+uo6gWwMxhDbfJjzK6s+nJmI99Jbev/YiatWC5dKeowDUnBEWHaP9sEZhdhOMF2lSU23OvbNunYHmNMN7w/aeo2d4h2WDJMvp1q+4k46LLGALpF8hiQbuZXzBhrjjxYXFzElVdeieuvvx5777039t9/f6xbt26lq7UEWGvEwUpHVcxKnyPeajSDIjrXYdyCZvlG7iKra3mzVVrVFJ5t2VT5wYmYVStq5cewBJrCJKb4p7oFqp3+ae3kPeJ2TF8OWnS1BP2SilcoVhlmMc9P9TSuLCpVn5SgGqM9beLHKro+jH85QNHfnWH9X7OuyHaNpC9a9UHLs+RcCWjCxBXFmiIP3vzmN+MTn/gE1q1bh4MOOgjXXHMNbr/9drzrXe/CS17ykpWu3hJhnHDv5X3xdPdE1BgpK8GKt3jtu9+/St5s47alse7tXtvW11KrZ2Scva+TkCEjIhoS/cxuXzgBqN2HyvolO503vZPHiQDAgOz4XvVu8lOdjNsm7zEZpda4nJH9VFdO97ZMoqu0LKCuTdPKnQ6iP/XeVzGNTlbRPD82ys9El7Z03CffiulyXszsGao8j8vwbFigPopqHD3OYsxNm4B0kmiH2USPbR/o9owkEQe13UEzjAJSKOqxpsiD0047De973/vwqle9CsYYFEWBN77xjXjpS1+KPffcE0996lOnLKEl2dGKos6X2lTHVVj3Wps1+nCb2YfUUbd++8KkxYxDymCKsrosWCbhtScZg10JhLpQx/Ln6c/EcqePOekWbUETljbJgqBraRN5lcYuJWrDEk9Dy7l4Wq42zQ6zquikEU5LgdWo/JUgbZahvE5FyHt9ufuFSj9NXn7XObrLXDOrXhmrTfzeryUt2kpY0i6bLI9QaPdqfM6nQbf21PY71f+yvRAHtnB/Zi1T0Q2r4QiBmeH888/Ha17zGhjjmmWMwdvf/nYQET796U9PKX1b8t5Qy59VhtYM06u43hNj2jaNe/8k3oK4nFnWpavcWdSp9BnFf8qXz2qMdfd0TyA51L/zTTRGeTS+/LicJR+P3UHTtGXCEretI8NmON5Xzdy8muoCrBhxYFdyL3uEJSYOqNa7Wn4f1cz3HdGdOMDM5hrbKf/KOG2qkzdijCxp9KRFt+ei7R2+JBVbIYyzxi1dWyIO4v8UiuXAmoo8eNzjHlf5bDgcwlqLu+++e4YlrcbkiasLI7UzlhHEf81sUSRlN2ztIPnKJnesZCaGpS1kVobEZBpq8qbUL6Sa+q7NW9GtFtRSapc7x7KfbffSZrEgaIoNGE9HrQW0tml67zxFPT9mctGxSpj9JoPpMlDMrhYrU6a+JyfH9q47u4wv3Y4e8am7ZIwGrSghSaWfxnyWG6MeJqlFW9l1n6/0XNuGsuei7arStbWXd3QMrMW5xGL2OQpW89BZZVhT5EEdTj/9dADAk5/85Nbrbr75Ztxyyy3JZ9dee23NlUIcbF8EwuwZzXHktRn705TfJI8AKi9clsq0aJa+PCzyLF4s0/ZPvefG7RfvWl5dG8bwCHmCqiy3I8Zd6FG3srxnaxr4/A515c3Qaz5qO8405XQgEKfSVauOpgDLddPJSuY+WIkyt5/349JgO9ffckZQdHnuyf81RSHLmeNgGpQN1/HrMpv5blTZTd+tRitwnD7tovOOkQarKReXYs1gTZMHl156KU499VQccMABeNnLXtZ67Yc//GGccsopy1SzbQOrLgRqnCSAtRMvNfwrWB4vcCh6zGiKxi0edSgZ1jXRFN10JL+lv48XFdBdbvmeZsJm5cdm8KZParAGb73Awi7pc7fkzzQRqHZIz6rcpW7B6svfUFumx8rHNCimBDW9jxQjsWJHNE6LeOuAjVxRTe/3aUmLEagj7/3fo9YcXWagrtsVRpXdVIfVhvHHTTrWurR7W9XNbKA5D1YWa5Y8uOqqq3Dcccdh1113xbnnnou5ubnW61/zmtfguc99bvLZtddei2c+85k1V6/9qIPV2bpxPNzjTr7LvQRv8p6PSGbU+fM6D3M1mqKLvIpHt5HwGNU/I+RWLhev7agIhBXErKICgFSvS7EoXq4w2KUsZ2rvXzf5zWOufP0KjMFtMpmsoh2rYC7bJrFSepvSmI+e23Rz5KzLSktoRoOx2+pg6Cp7kjpMGnGwWjBe/TxZMuK2ztT5NpWDZ0LoUY0rijVJHlx77bU4+uijYYzBBRdcgI0bN468Z4899sAee+wxRikyGW4HD+ksMYsQKjIov4Cnh9RLGHJ+eXU5Im6sYw7bZ6exjrdsvZZ1VIlAaFug1Hkfaj4nYo95U4KnuOwx5DbCgDolkxLZ8nedxyQmOOojGlzdmo+Y8nWvVH9Um0aNJS67VS1tZWxLSV23XTT3/+i7Jo0TGO95UShqsCLhy7Mvc9Q7crLnc9J6jChkgiNmW8vq0iYus1Lq1HVZDXPQaqhDGdPlnW8fR+O0d3nGvUIBrEHy4Kc//SmOOuooDIdDXHTRRXjEIx6x0lXaRqEz0HRoIxTGiTaIr1tetLLhXavdJn2cd6Idp8BRXgsvtP5jdCivVvyEZXa9fSSm7hSFx4z7atyIhs5lap8rumJbeKePygHT1fM6g6p0KWRkORM+76Mc/iNL7f7pVAU1FmPLH8wIq20MT1YfKv/WImZMjnq7wVIcLKOBfN2xpsiDG2+8EUcddRS2bNmCCy+8EPvvv/9KV6kzJt3JuxQ7Xlcm10EbezttLNFys9VtbZG6cJu65HGoeIy6Mt3laIru8MfdtV7UFoGwMh4CghkjIiDWY0lHvm1F9dqxIw5mhS79XhdxMgmWM8KhXNYqiKDg/rerPY5xieo53tkjoyONFIrRmOa5H9f7W19W7XhfsoiNhqeLZnWC+iT6nLJsW14LdM11EOIFMdY7fCUwXV26RZF1SYbYxUmiUCwN1gx5sHXrVjz5yU/G5s2b8da3vhVXXHEFrrjiCv/9ve99bxx99NFLUPLKbl+Y9TFgS9uKttCsUfc1Jc3bHqhCavi53bybRWmdLrbjxk9MytYLUdEid5YD2Ec8oEXuuAuJScfsuGVgwnLkfl2UgODJse0P444hHS8KwaRjYYmfs0bx45Q7u7lx6WeVrt7/antm9zR3b+WSvMNnjsn6v5YL6XblhNesfVi7BAkTt8dX/YRYM+TBwsICHvWoR+FRj3oUrr322soxiw9+8IOXgDxYHXkPYoZyGiJhSSMOGtn7Lkx3yVsvn/n17VLmPljtqGGfLVDRVWubTHRlE5vd7qUHCGSb8wQ017djxAnxX5WQyCa5ctOUY3pk0qZx5deN5VGYxBs0KYHQzSsy/TMyRnTOSkKPuRoDqqdtB0s0rlfr82LREJ0zTuzzNG3jsseydtrmSPmug7y2Mmv6y71qTemTZYqsW4MRBz6aYuR1HSMLV4s6FNs11gx5sNNOO+Ff//VfV7oaK46l82t2YISXnLab1qMqUuobUh+yyH91alsTg1/nMY/bQlHHdfMQjPLgN3vp4xEyKcs9fj+E+lLySbey0xwR9XfWEQfjYpynZ5TuBaNOihjPIzQ+urSJGn6elfymsrpeuy2QeF0xfuLE5dxGlhw/acPveiCkYMbGzMhs9grAjUNbeg+sbTVR5W9Ufi7Brx9muQJsU7It/ThJnoO252mSDl6KLXV1P4+6q+baiaMNqPbH7R562sKKYs2QBwpB/VKzbfHXaXHaeW/VUi4yJ6VG6kSVvfVNcscxYBoWglTnMS/LJVSPUmyT3xQhIJd1LHMkRr3Yx1gk0Lgv4poyKP68y71dkRr8o69tozCoVPXmjRZLSx50adM0xtAkxv12Th7UzgUtl8s9ywkpbyzidHvAUhAHSh50RbJO2cb3encn4+re801t734iUW05tZ91JA9qy578PTrZs7bUuXjGvb3rvW0r8JZ1nkKxglDyYDtB6+TUeuMYE1fZsJNFZ+0iqSq3yrKnsD4hV/jEG2pTL3DDBG4T43p220BGby+hqEhbq/tmHdUZWnVtqr8/yKXGa+oR66jqVa3KbZeEioS4LpNGf7SXXZ/scRSZ1FX+KN9t3LZxdJRi9KJxKRcgZdntY21y+bNcGE8jb5WBwLkZNEJAMWusxHiarMxx3jX1pZbfOk0EcUyuNQmzLLMbZjs7r9Ktq6PKpPDJymO8OlTfy+1rgm4lzZisXGsoZp/zQCMPukPJg+0G00xC4xiSMcQAbmOXS783kRWJt65s3M2AQKh42aYzWCoew1K7mo9sI6QRCGPoqKyXRs9hA/nQ2cNR9z33dV20wxgMfLcoja51ij9uGldtuqn7bkz5vg/q5MkF4xjbNfq0QHva1KVegLSRB7MofzoSr7kOa8jQprrnXKGYBrP25HYtdtwyI8J7Qi9tV+IgXDC6nK5E3tIY7FMQrSthr44dlbiUmMRoH2/s6UkK08Ni9q88fYN2h5IHnbAdMoAUvZCnkjGON7Xl2pHetdEvvcBwd/EUd3j5N+hovMVAnWEsbWnrgyZDv86Qa/Z+V3VPpW/q21IfyWCTfmqvp/xWd21TfccjdKhVf9Wr2vu7Oj67yS9f3ZSHollOvY7qr1odnuelWAi2kTqT1mE6glChGBsrYSTNzAixLSRopdDSv0uFSeQvJykyRjl+vTSr9WbLNkg/JpqS9E1aB1v6t0l2/G/586Uosyu6t7vbe7n6ffP6cDURKApFO5Q86Izt8WGehcew66Udrh3pXesoo/V7/qvWI922d730Weemd5Hb5WVT95mNPqLmhV9rxEFNW2r7IGrHyL6k9O+64j0BUSYpxlwgTNzftReOLz++vbZN7fIbdVS5iDpEICwXlmqu7Nr/XReAE4ynZcf2+N5Zy1iJ/pxlmUuV32RSjFvGckdT2JqfR22Jm5HeRhI9ZUdB3XcTFzwCXRwisy6zC7oSB/x3p8uphTCIL9O5fiwU5P7MWqaiE5Q8UKRoTeI06sFazg1DUp9Ri4EuR8JhtByZ2BsN5zYDv2zQWwCGDT2Lrm2hlnLq/dplufISG32kYltZQc44CZpSee3y06tGtal+2VPX72P090hdd31GyuV0jxDopqMy4nE1PtrLnCYh16ww6lmZ5FjLZQYBZA1G6XOy/lcoVgK0eo0fOylhIG2awXPIdei+lQFI57KWOnjZk8PPNZ2aGenTAl3WE9OXudQY3ceTzcddiIPx5bYd62hXaruRYruCkgeKjlhKT944E2f10KbJ5Y7bptHtI/9XF7Hd2+LktvkGYu+Bjf6uuYHLrZOSfNLGh3ABqUbG6f8u3nSp6zj7R6Oba+TH9EXdpojOo7dWdvVDm17AH3YcR+MurEr9Ow6t0/6ByJ38CV8erIpVaDd0UuTyLqy3Ie0pFGNgQsN60geitrAJ8jiMLN/W/DQp4vJGFZxGU0xVdktRZZfL0qLJUVD6bawx0THiYEy5o2Su7nf07GCXIGHizBMwrmEoebBWQc6zNYtTCLrPbON4duUOU3pptZVV8NeGEw5O2ra6ckoeTSLeu1/Awv07WmrZ+9Lm/e7SluZ6dvF+N3qgG0+/qJNbfQEGZlvuKUdQjDsD179krZfTFoFQRuqtaT8EybS0Zfr6h5oTxvEGdIv6cGiW2y0CYTxvyjQ6mjUm8QK1ydm+vTXVuWs1QFdy2wdW4tmbxdqoTuxyzY11z0a9HqU+3QzZSSO3uvTh6DVL+CT9bOneOc3vkSWNNOg412r0mWK1QsmDNYWyx3X2k07i2S2hMYlerZRJ6tbEqXbx5I7rwm1ws/rTAJruq/5cf0RjW1vSnxt1XusyjmRW3N6j9lqWf217ERLiUyFSX3e5LCr9VK+n+jLgZNn2Iw8TuTRKbqMA7vZmv31VH5ON5SY6xMsjVL5pk5bou+3Rq9ShYxEluePFNpRFdJk/tgeMOsZzmWHtKiQQFM2YhjzfhrHdjdFJ2ttmzFPyZ+LTHkaSL0LK19UgrUP1u6iqIqqxjEkxijho/LpGzjhljr5mexvhk8BagrWz1dSs5a1lKHnQCbTalnlVNOUqmOGL1tlkzcy0syVHEQjTMKlN8lDzeXzFOF61UfLKhl0dgo6qDLroSD6PPQhNgiU6oz1/Q7NB16FNDfKaSvKSyEISAYbS434q93dZH83KrD5zbSsJk1wy+es3mLf1x3dR6ZMJyiGwzur6vypvPB11r0JKtkx29/jzYcv8MZG8bRhCcllgpaMe/JNrsR0aZ9sipvHWb8P92/EEp65Y6flmKfbDt0ZVlE50mDjiqLLWa6hDjexQZh1xEP7u1uxZRp9G9eus83HWAF10PQWZo1AsI5Q8ULQgTKJdJ7SqAdvRDVoysOsm72B0u3/Ihk+7Y1Sbmn3O8n33kkovwSYv/ZhtSVn7Ullxm2rlUm0bmnTe/BKN629rRDYtCoR8Kcut74tQBv/eFoFQW9W2cWsRZ39o29Rf9YbE+m8vI73RJj9WxiA1/jIC9cTaSAmTrFOiouqjatrGU0uZU0Q0zAYNnb/NYNVT3IpWjPMwdntTqB0So+u2sbbPuxqWtvJz08HDaT/N1nicIvPNWKXU/l5zLGkXInzq6ozEtHWY5L3c5Up9WMeBtbPPUbAUO5nWKpQ8GBP1+7/XIsovyQ4LEX5ZuD38ZVlA+8u7XFapsMQ7FxnlY3ntOrSpUd545IFfaFTen8RGUslL37EtIUNx/SIjNebKctvaEBv2pc8rOpKai6nSJjOWU0d2VL9LGxAb+DbRYSdCqo3pj9rRnvVeZMW17/hsRG0INY4IhNaHahyfRo3ZOFL+lIh1W+mPEbpvkuf5m+WeV+O6bqNz+ljPhmJ1YobP61I//9scRj8T7TPuuHOaRACM2K/v+8nwj7Pps/Hm0EnLLEfAxBEH6TtydJTDcpBdzeRP7Zqt9roxKjlWX+qzOg40YeLKQsmDTmhjKqtYncu2cYzfMMFW9351meCad3SP1mXb5F5jIFUkTL9ASKW0JZ6LdRRejPX74gWBAKnTUW3NqK6cUfqsk1veVlBbWKms5muaymlftLTppun6et23LQG6ITwTlQiExhJqdD/zdz5Ff1c/TzGL2aZLA6Z9rsbDykYgrCzG22+rWB40v5dWD6hEFm/nsM209raLUmv8MZTRnxr36Wzm5llqsmaNuQJ16Vb2JPUbfY9GGii2ZSh50Aky0Y3yrgpW2+uqrf5N18YflbysI0U0eb+6GIoNButIr9o45AiaGWEux0fiyzq+Ek1RrnPJqIzIlmo0AEcBlNvS6CkSCa6caqh76fcmuZUIhJqm+NJavAReXlsZzUhDA1vGhHxXF0vWoKuxvQJRfb3B2toPI3Q/I9QSUC3RGdOV1N6GTkvwRp2NXR3IONp+6QMs2bhSTIJtgTgQEOq3kW2fWJsziPX/hNN2lpo4KJU9FUatMbsUN8N+7TDXjq/DJsdLzXWKyWAx+wSHa3G6WCIoedAVFQOtLcy5eUCn+4KXcuKoM/inYVmp9FM9aeI92wSQNWgK2Wv3rjXVIfYIEywfdzhZ7oPR5Yy+ZzQZ0hyFUNOWkWXXyKl78REAKxET7XJjUqKuvvXJg+KjGWNaqm3hUm8MNycnsqVnxcUHNLelLEfkNyXos4EosG1y65DqvlVHyekcMXEzKpKl/Pmo59I2/N6GbkbRaN0vFbodNzlbrEQ7KSp1Fa1ePDHVtU7lMajYLjDjJIYdC538VtthTI/bJr8eXA3Pb8MsEiUpHOkgaBVfjnZwZTY7jOrf881rg6Qw/nu2pMXosuP17gTr5jafyJKTkV0iQBWK6aDkwViIH/jpHsylD1kaPSmOJ6dsNFODOiIDyWfib9AVNU/gdfpJvMI2LgcNL64mNBlpXSbcdv2lr5y6drm/0wgEacsI0qJiU7a+odh7O8p/W15QpDUd8RZ0f4kNHqijtMS6yJWGbMvxdeUXYHtbKNF9U06ItB421GXcTDnjRONE8kP/N5E5dWRQlz4oRU+MxHiJuZZ9G4G3pkc9F0tV+HK3dYIxuOQYh7gRQ0KJg+0PK9Hnk5bZlQwbX379s7L8z3RrhGT8Z+LoJmlpuaR6QtxNbw1ldajDrImD0WVPmLRyVUWLrcR7c3lhLcEWs9W5HtXYHUoeTIq6Iws7MNrLQxrUMbyppT9qQq7bX+/+7nJcoHi7DUC2NQKh3YAsX2lgR778R9XPtBqWPhKACpCN2kKGty7UhdATnJc06Mz93HYsXVHzAhZdxAvxONGQCX3QahzHXm/ZzW99m8Bl1zPgXGbJ80LEfWjlTkJzn5qamlGNfgJBQdGL19rQfgKx/eg+C5Ea6TVx2SA3VkbBXVOOcCjLb25TuwdhlI66YJoFXrvcSeahZt0oZgkLC7IW4YjWlSh7nB4ueSCjuUuxEliqeWOpYZeVQOvmKBhXj5FHvmm90Bmj32HTY8bP6ciIjWnbNMm7J17DNtVvkndi1JZR/oNl6UuFYvmg5MEssYrIvspclnIH3aZJKv9Ilc9rr7UlnzGFMusC25PbR07CYrxUfaF18iv+4c7vB2LiI8r0X1NCWnvi/8n/3AibJmbsmO8/KmNE3aXOSZXlF0pk1d9e0Vwqt6lcGi/6ozu6PFxUU/fZyJ39UrxjeyaS1yZ7Qq/KCmKS5ftsSl25yXwlffjjt3qlX3rb1nhWNGCWw6gSidjFS77cKL9Xmz6rwViRluPXaLaSq22a/ImdhjhoLnzpchoszeqha7lreeuCXQKucdUF/61iKHnQCQYpY9rEftYx/hOMcM/eTvN0tHitJtqjGLe/3QCxVHC4cXTuieypr2Hjyde3w148a0EwsGQR9vVbgMsMHn2xIw3CC6Qss0ZHFQ933thOaqtnfE2NrmxcX0LalkZ2vK6Ahr7gM2cqLw8CUArNcqw4oRoRAI44iIsL31trXZ2JdWYLuL3x8Xk37WOlLD8uw8aRPAQAptI/ScMqfZFGNJRhbXV8NssPZYzSEUvn+pflF1KzGvn1bWn3WqRRJkDhn6dqhEBDDo7WZFWTnl3UJRFjVy/SeF6b2eRJkP7Rs5tWNyZ5lymWDuP0xxhe5HHWLJU1xup7hsPaIfzpsp4IkHUOt21mZ8y5aLwq8dLST7VlN7dp6ff8p3WA/7vuPTIOmT5O/8gdKxlxUI4EVihmByUPOqA6XTRNIE2EQt1XLd7b5PtpPWBtk123sD0/uSZe3TYdEFKvfVrWOC8PKTv1/kc2sI30VMkyXV9GOTIgfnmELdY2uto6o5jbVC+RSvqJf44/s0Eq54QIbfFmedrSktygv7pERAl1ksiO+2Y06toRwybfpqO13ShOkxW1jAOvnzj6Y1R966IqymWUa9uFoW9p04jPXSldn+dYJ+VlTf29o3JBNNd1xDPoBw9qyq2ry7gLqw79Oska04ZZY3pHQt2ztYqx7K6TtvImjZ8Ypw1LLX97xTaqo5VwHc6szFFjucmI71A+xT/GpEX8dfxerpHJa4h0zu763pQSKP24CbWRFZNEHZTeolT+flRFRq2Dmu9bLZTm8pE1ywtraeY5CjTnQXcoedAFRDXT6QQEQuWymsU3cUmWvYnRcXJVj32XgT4peVAyThNDu42BpeCBpqJkz9uxmNt40vMGmBjSNjZUJ3ipNCS8qxjbRIA1cAy/a1ONNCQ5CTjaQeqf7udnuZD9/OUIBH9lVM8gNyEOak5I8EkLuUxrQ5tC7glglM7IExbVvf7d8mVUP4299pToqAkuZ4b1WzxG93Odzst1kvaHCIditPzaUy1GRVWQX1d2q386LlPZFPVpGk3gUE8qtBfX4VmsOXa1Suh1LK9OfBcCYSI062UyOYJVbFRNvcd67ALRrI+6MTqO3KXEKu7DVYNtT0crEqJtl6vcLlEa5W2csmgT7zevH2qTFRu5qaUYmV8m8WTXOTraUJ7LxohSSUoNf5eJg9Hvq7Z17qg7V5MRujbJA8XKQsmDzqifDqovjvqrasQ1XDsOYs9O2divYV0rd3csP6lr1WCtk+sNe0KVQBhVWE1CPaBkABK8ZZxGONQbmulLM74ybpsN95cIhJDHoWyUpARHqptg4PsyKSYQ6pvviJEmuSlxEF6MFCmmDm3jtDR24nLiisuP3J/xIQW+v5vKojr5Vdmhul086dH4p7oRWe7f8ndtZaQRHOGbWDejXspd5Meflcc5pV/X1CeR4wduW9lVGXWas53lzmJRMitDvyquO+00puBlQfSgrUpsewbm+Fgu3esCf+mxUqTUNETaMmLsqpXaW9qGMbqcpZpPa8qm8i/la6bvl/EJg0nK3B7m3G6wxRKctjBjeWsZSh50RScDpyNx0HjtePAe1LJR5j3SXE5DtYLXbzQCi93BaGJvpZc/DoFQu6fc/VwfUhQMbBuVXXlh13jp/b0Vj24gELy3PtpTXkcclMuJDfyy13s0gdCk22a5vofI+HFpQSAqSp7qmpdcybCn5GQHIB1PgCWJLkkJhDbdpxEH1TrURU80qgCUPnsjT8+o/6z55AxE7QjPz6iojxiN3nQvv258lmrZMA7qI1ki+SPDaOvaVId2ubPyrsgTPPMIhEpfzkQoIqFLikBV6oJm5bAculfiYFnQMi9OP5eN8owL0R07fLZx1OX0GXMsL33kWV2JDevIKbplkq0BIbqzO1rXjdsZLDosdSaQqegGJQ86IZ4YagPDElTPAKjDrHxhJcOj0agpG4yAJOkLNaoJQfYhb7FcCleVxLpggC7h5lWju67OadPIT56EKMKBUHqRwUUKlIzesgFbNtDKRlmQ3VR3ivRfMuTjfmjx2ld1VYeycVmWW9JdWR/8fTWfQzPce61OvoQaGE8gTOb9lutFdkgsJFs4gq4MJ2eMjX7y95dr3qT7CpgYcuOKkB6f6a1rr4EKEdJUh0j3le0jnSIOTElkuQ2Tzh0Nbaq9soVgGbe8WmzLr+kZEwh+vFTlWcAfnTh9BMJSRI0oFNspai0X67+rXwdO+cx5x4CQFbamrO4YTZqMIkVGyG1z2lQ+a9FnpzqkOq5fAzf0w7IQB+X18viFtiWAjuGWedvyO1ax2qHkQSc0kAcNzKE7UaB8fx1m7Q2Tn8XQCZ/VhibHH9UZlcnWB2poL1VuqXqiR9e7bgKuTpTE8qPFtDfKypdGekgM68hYq5HfXteqQZ6+HN2/ZeM18aonRrG0hZK2VIum5Mc6uT5s30d4VA36lAyJoyfqy0zC5yOPuX8SiFzuRd/nLLw2AqGtjPSlaqO6prqK+qDp2WvRfYzYD+TaZ1lH1kfL1D1XFeKAv0tnh1FGWqT7hjEeL3K6RWXE47NpIZbOCaMXL01yuqCubRG2+YXNbAmEtsW/hW0cx+OWEqDEgUJRjw7Phm15ZhuJg9kgOaVmFvNoEqEV/zAZcZDKlZmLEjXE81lCVNcWN04dSu/stjXwDLaDjR9xMIuxMFpGeHNv6+/ZFixBwsTmbb+rG1deeSVuueWWqWTsv//+2H333Ttfr+TB2JCjbMqwyTV1GwK6RyTIpGeSS8mmUqreZxMub8gbEJdTnmAoaVu7IV3Zcx9/SxzSbg0nBHTedfLHBwb5Fc88HxvYLN9Gnmg+JtAWCJ7wuqOGAMhxhB3qL21wVnHORiwl2xhiHYnnPJbp2mWq7bNFKexf2iIRCJFHoWywUqk/KfbW83eSpJL46EeJLiELa/Nwrx9UiOQbVHVi+BrZvhEdPWRlCwfXLT4eksD9Xu3TxLBPkkByu+W6kq5CS4lLSbfspPKrug/1lrHDkpKhwlEaXJfWxUEpskU0G+u+eQHW5ejTatmubkFXfkzU6b40jkKXx/1dDxmHvt/HXsCNegm36WZS2U3yZhNHsZKwsByBMIKUabi7qpfS2JhaXtu1mKAMhWJa1I/T0YlxZzVWqyRy6pGPozrT68JnUxrwkbzY2THWHMrvgjTaYfK6zD7aIV3jVt/Z5XUwzaSLuxAH5ZxXy4nkWG2df9c0Tj75ZJxzzjlTyTj77LPxnOc8p/P1Sh5MhKpBW/26dE0tQ9wmp87oT/2lqSSKyo2Ig7b9895rH7u8615kqG9T7SfB5Io9Zs6bSzVVL0/ySOpSV6KFhJqzGSVyiTjqo6yjejltL7EmGVZc7eU2lHVPQXrqOaZguFYiEFDqXirpPbwM6sxW6fPEY58slVh4Uv3qYiIuwf0vBjWSloS/pdKUfCf3AmEYphEBqY7KZkasK9jmse/kRwuHRPexRJFrfYkxEVejqcq9pVJrxlC8paZlmUq1P5ZqXV920wwg5ddeVNvnXdGs99pruxi37mEaQ256a9M39XksJi9rNaFu5tk2sO3WXLG9YdbjtIY8KzsBKqXOsg6R/JHEQTOxYiu/jJpLa9Z1I9Zco+rQvbz012rEwQTia8sbJWjc96xiHBQFoZhxgsNZy1sufPCDH8Spp546lYx99tlnrOuVPOgAggElnsK6sLQ6IiC6hogz9pdRlEwWWeSK4W2iayj6PL7HQJjshF0mKtW7VEMq2JYM1wR2OSUgyt5K8mXWmD58VKM3ijnqoD3kWuRJyW3ymZggA8veb4JJmXGf8C/IFX2Q90o364ZgIeGHzoANuqrqKNxF5OSWjWR/BRn2ItZFILAnv7bd3L++b01FrtONRAhEEQhe91SqfySd0j4N9U/bYq0c02R9PZyX3UbRGvUaFfnliAOKthekOZi4rjb311l/0YiFSKVvq30Q7GwTjaf6vq0b9/WRDQTI0Y+J7rugGj3RfGUYn40LudI4qo84SNvpIy743tDfkTzbVKbxxTV5ZWzLMV+e/KptU7eFZ9P4XtOwQPoeGffmSSMQZo3l6rdJo14Uo9FlPJV1bxucK9sHwjprxjI7kAWzKCkuJ3VaVdc/dZjVfF0XcZC+M8xMVNG2pvbXTB1xUP++66ar6r1d6qzYdrH33ntj7733XtYylTzogvI8YGM/aRWpxzK2huouTmWVTDrmC/yKHHXGWWxyp8QBJVeUaynXxwZhs780VkL55VBuUogAIE4GmBox1Z/Cu7Pu5ZPWO/bal2uY+qfLE2hUD++drp/gra+TRDhIwsF63VBi+KXl1SZi5K0toS313jkvjZDIpZJcb3yTZZIqikAgcuOMbFR+0Fn6U0wcyM9xPSjK04CIyJH9Zx3GTtSv5e0jae6DciQARXWvc6uX2hBrJ+mDMM7d4yXPVBu5xf+OzKkQ58iPTungAdukoVDHWHZcdrkMAD4io1zXtj6g0mdN7e0qN/q+w1ppRDzGiqCt2qurpoxKpUZpdDW0YluMPtjW6qtoxgyfgbZ3xaTFJEOt5lmxlR8aC+06apdsdFPpl+V8jCj8UHGyzaQeXYS0EQezqMQoGdvHvGWXgHPcjjnMsaHkQQfUe7zavIJxpEDTg8wMYsxQRl7PYKgYuH3s0ZE2FI9wg9TTnSGOOJB97HXexbjGPppC9t+X2+QNm8h7XDLKpFUu14FEG8RGsuEcBc1PKMVGayXrPBuQNmTjd0cTIsj18oOHM3hx2csdRR5U2WrWjScnyEcFBHIiMsSS6AL26la86lFuApJeFH3DRzU4YzzsMU89xVF9474o94EVAoG9a1Qw+USuLzivQkxYURTFQL6v04gD8foT56/we+y5zm1RJWWSw4+lckRL4tGOtxTE4ym2maM9/xJpEuveF2qi3ywgeSaiKBDU2eFeN2gY99Fxll46wR2PCUQjCIhyWjjzuRBtRPJKpATVyLe+FIQSEm2XtIdKGVFPVNubyC3LYLmtXpV6ueXvLQoWUe73+PlaeowuqzlSYiUwnpdukms7vLMaRRQtY0Pu3VY8YNtKPZcD23hkQGOkVBva+r8cecoRgz43wLSoq29d3plpT1lYPiNzfM931z6rk1t6B7VG8MnaaHREXCfUOhQa6jUBpr1fsXbx05/+FPe6172wYcOGkddecskl2HfffXHf+9534vL0DdkZqcFY/ydcW/1vhMzkvlSOKzP+NjJWS79XtxhEIfqJYWtK5QfDpUkeyt9HhpvIC/7S9NpkAhZdOUu1tg1ePbV15G0kifxEjUGL8V74Bt05QiE2rmKj2SDUqfwn7cek7Sgba6U+r0SGlEiItvp62ajx3DOpQEhlNO5Dr+9bp2dU61TadpCO7Jo6l0P8Kf08Ljcloso6jT+vabf7MNQxei7Tlqdllb+jSj+Xr4rqy2XGfwIxEumjRvdNpnvy/NbqM9Zz3D+o+XfE943zWDouq2O4HtU2NT8z0y1e6+SW21knu2FWbhHVNnuPV9+1jGih3xrBo6hikrGxlPqdxNBejUiJ6NmJbdePrflpthi/f8KbjqpfNA4/eZ6lvPKfunJq1hBdYTFSt22oviuBcgPrV+XU+F35mrbSm9s83js03Nbybp7kzxp8B7nIA5rxn5Vu1eR44xvfiPPPPz/57MUvfjG++MUvVq79wAc+gE2bNk1VnkYedESXidCFEls0H/dR9vaXvhPDwHsXDYgy9oLHXuSiMlF7YxcE8H2pZ5eikggURRqIHO9dj6qWGI9RFENdJIJFwfLEo0u+TdZyHb1nPdQkyIw9xPJpTRQExFsv7vrw0Is8S7FnN4o6iMoKn0VlxJELBLgTA7hPyOVyqCIYq4Sq3Nqs9hI9AcNefCp51cN9seGd/Be1IWjG6RXWhggEgvvd/VBX+yDbkw91/cyiIN5zgjuNglwmeK8nKkkv1z0eR6Ij4qEYnyBh3Zj0uQhS70BCNpTrnbyw0/EPv03HJB4HivqgCfUROJFohPwbJBElQI3uq4WI5DR6okY+FclxpT4CBxbpVo/6RUPcH80NNdHcgERuy01pKTWKDBEZ5MfSeKDmDvLzprsuiZ4oT2wdi5o+0WLcB9vwyqQNydiwIYChbXwpMJFRseTG/VoYo911RNHfo6WOq5slJBDsOBFRkxiQvIYokwaN74E64oDGHN6TpkpM18BpnaKfWysz6VxV/55L6zax5InvXUpZqwUWsz+qcdpTKYqiwE9+8hPkeY799tsP/X5/bBlbt27F5s2bsWHDBuy1115T1eeuu+7CwsLCVDKasOYiD+655x587nOfw5/8yZ/gOc95Dn7605/OQCrV/Gm5tjYioYnVrCmj4u13nnaSLQqUJm0jCt9JUr3gATUIYenpZ/E9yfdJ/YIsaYUYakFOMKgS2ZFcqjVWavRZaTvfK3JjI7pUVnJf0t5UntddTTRBRW7JGK39r+RdT3WfRXU3abvi+lWInlQn6QvZ1Lct1nVddEZNu+u8/Un/Ih1vVX2W9F6KCCjLTgzXqJy6sUrlOlO5vdUxFPqK+07GTF0dy17+ZOzV6SQqszxOy3IoLiuqXWURN+La0p/GMVLRdpOOyn1U92c8xM9H27gMjasfG20lTFq3RjFdRXJ9q/P1OAUmwpYJ9aHP3byI43zWsNxvjEBY7Z7tGYyzRNYk3y01VrIPVnPfj4vVOpbr5vgWTOr1H+XV9nP9Uoz16H2Lcj3kM/ltqUxnquGxO+h9ZpECo97jM3pvKjrhi1/8Iu5///vjSU96Ep72tKdhzz33xMc+9rHO999111143eteh9133x3HHXccnvCEJ+DRj340vvGNbyxhrSfHmiIPPvvZz2LffffFv/7rv+K3v/0tzjnnHNx2223TC+74YLeSA1Qvh9ILwp/EYBADLjbKxcgSIzFDbPCF2pjmP7FBDjE6y0aASevp65OBkCUyvLGM6LMawyLWVdBF0GFcl8SYj7ddkKmUH+stke/lhVD7svEf/ogOM9+WtN/r/1Dl30jHFZ3XEA0I9Zb6lkeWb4fXCUWajP9LiZ3ECC/pN37hStRBqvMsfFanMwS9l3VQeTYojWhI9VOue9Q2CjqtWwqkv/PYKBNclNY5yXuRbO9J6x/qmrYp7r/Kn2QMyAqmrm/L/VLT36X/5PmL761HOvdU+r+h/pOh9MzWjMukZeVyZG5saktl3lxm+PqNfVPL70uJBkNAMkzFfzrd20A0eKOjoQ61BslqNbhizKKf2hbuK72oX0n9bwv93xWrtS2TGI6T5E+I3mMN5ZTn/9mhuvZISqGlnnub37917722a+r/61iLpjXIzN7tqxfWEooZ/5k0kuGyyy7Ds5/9bJxwwgm44YYbcN111+HUU0/Fy172stptA2UMh0M87WlPw9e+9jVcfvnl+NGPfoQf//jHOPPMM3HNNddMVKelxpoiD37v934Pmzdvxuc+9zkcdthhS1cQyV+j/gRjuPYPEVBnmPnFeAZDPRBlJWM5i/6kIeBiYJvSNdU/sVEYDKg4ciFORhcb5GUvcCyvauAGI7xqsMbqjHQWy2MdBSM9Pu6PQp2Rtimuc6rzKKIg0U9Jn1EbQ7trDFFfl8iDjoYIiYSYEKM56idIP8d1FmOewj2JwW2q9ae0DvE4K+sk/SwQJSIbMSnk9RPV0esgnUpcTwYDXfo3jAPRe51+YiO7fooK15QShpaM9NrnSsZTcm3dQ14XcREiMeqf7brtDCEhpZdeIkh8dFGpDxH3YUw6xdE2NeSG11J8LVGqq4SIjK6J9JPWPdZj28Kwvi7xZ2WCoR6le0b9R5TcU6+TtnLq5/Dx0XbvOHJnZZy0RQg0RSCM3uM8O4wqZ7UaaV1RNmRWA7pGoYwja3XDTmQgT4spDVdP8nXdhkGtxcmsuzTjMJrPqfrOKyP0xzgEY4e5lUa9n6aFvGuqZVfKI1n/RH9q343Vd/HIP5ETots9iqXCO97xDuy666449dRT/dh49atfjYMPPhhve9vbRt7/oQ99CF//+tfxuc99Dg960IP85wcddBBe/OIXL1m9p8Gaynlwv/vdb/kK68LksVembQKz5DeIRh/C3+cMCAvISQXg7PChIomBEyawYJQ1lg3JSyD77mXPT7rYkam4vozws6Q4sJYnVwuACri95bJPj+tbCmtNX2iR4epfRrFuwjGE4O8sDGfj5wvJVuoYZJV/LumIEB1pWDYkavqybLCStCHum6idfHylXIfkZAT44xtFdjC8uayabQtSVjgVwobPff+QO7XD6y6qe42O4n6R0xAsVyn0MaFywKe7INTX1yQeP+lWmYo+rdO9HC9Zh1hyhRShetkEJGNHtFTe61YxWWu96TWLiEiuv5+aHLRx3eFJoVBmWhNEdXf/2qRPpex04UXJ32lf18hnncfHw6b5DurlV9pU+TTWi430UpZXustXo+OCt6RsQin3QU0ZrfPzRN64tnomE9kI+Id0zDrUiWopL8ptUS17uTAigmHZPGezLqfc38vVji6YUR9HR/cq6jCdYtI5aNo+4/mptUrjlBGvi0R2vHYYha5bpMrl8c+V1w81XDs7NHnxa4mDkVqI1y5T1GlkKWvv4bQFwRazbdck8obDIc4//3w84xnPqOQ4+IM/+AO8613vwg033NB6ssFHP/pRPP7xj8eDHvQg3HTTTbj55ptx3/veF7vuuutYdVlcXMSWLVv870VRVD6Tz6fFmiIPlgo+30BHhCRsbfe0XEMWZK339jqPoIW1uVvIlydIIhj2WhvKXI0jj3oTnMlKgM3hkxzCwooxGy14CIGMiNllEzGpYrS6hHGFKANy7KBlIsQd2VhOaCie517wSEfHTkqTPR1jLSzlXH/j6k2GTYWCDXIEQzv2fvvogxCi76SKDgrPiouOCiE/KHOtLCemI4KhqA3cB4jkg/UDa2HEKCM3FtwRlOTawMkOq+Mi3v4Q6ycydSkLiw3riBsQ94A1bHQWsBT6rOq5j7cuZEE+G7nWSjJJ+UyoCssEgxzZFnRTlh8M2PCzT+Ap4wSWSRxHrLg2ADbSZ0wA+TqLXKRGfxiTcTLMJt1LXcLTIjovtyFGSFLJciFElMgPBFdZ94jbQlxmdRA42TaQQ5YMYHMIWVNeNMmzmurKlV2VLsdYFmzY55AxbKOjZNMxJ2U2y/XX+vbXvLyYjIqbKnVyX7cQoTGh6uWM8tjVLdqkLfH8XG639SOeSy/dOy1WuyfXJuRvHcHi9Rol9pyuSM+oY5SOA9E0jqe5ue/qiSuL8ailbdTzN3EGfLlvOdtdrqvtXvWaebN7sTIWmguL36GJod29kPDHjjOux0W5DDmGUr6rIry/2jAOaToa8TvTryHHJZrHLrT5fUHRNXHZ/k3fop/xj7EsV6tDe5eNfF0buPbaayuf7b777thjjz0qn2/evBlbt25NIgYE++23HwDghz/8YSN5cMcdd+Cqq67Cgx/8YDzxiU/E5Zdfjj322AObN2/G05/+dPy///f/sPvuu3eq9/Of//zKZ+eee27na8eBkgeMm2++GbfcckvyWd0A6gJvCLU9r7y4rbskONTZ8IyiApxjLTKeEqMjMo4jQ7OxCuBM9mwYi5dOll1cDZ4fgzEYh+SXFwfOmCmcoQobGYZ8vZU8/RRKoDAFV/fRm2RyJB+F4U6ekJeIMwCTWid18v9R+m/yAvIebwPJlG99H3C7rbeZKyWELRR8T0y0lLpeTqJwBpoYgWzEllrg+zWRFPog/jT0H0V9G18jfVEv38ul9LP41S+GpIxNuabitY7lV/qVKp+T100w1UBU0hE4aiAYJWVZ4Tko920Yk0FRZd1H5yJQrDUkMtNIh7itjkDwcv1nPLbIjVNU5Mdj038SPYA8sq31z5IVRY1CTXQJKFnyeMTjRzpCSm+LoPDSWr0o1rc/PX0i+rl0a7kHWhqJRBmlX+uub6ynDERfSxZWu/6lhp+nwYwNgyWxM9qFyigN185CN2PIGdn/Y6JSLLUaVGsDsyCx6ki2ZUKn/pnVuKz7ua6s+M+URY2EzMn+r24FJKcsNBUcyetCHDS/PLzocWg+lNYnM5t6W8utLyRZk/mratZAbbKnMu7b3rmhZmsNjWl7ppQJAM985jMr35188sl4+9vfXvn89ttvBwDstNNOle/ks7bce7/+9a8BAOeddx5OOOEEnH/++RgMBvjmN7+JpzzlKXjmM5+JSy65ZGTdn/CEJ2B+fn7kdYJ9992387V1UPKA8eEPfxinnHJK/Zc+VDxF8JRWbhj5MIvnvbY4ZrKJejCm7yMODGRRFnhnMWYM70XPTB8EAzIZ16LqIY3rbVFE3nWAUKBA4e6zwfgv71X3XnVUdSM1NHDGcQHrYhEIkP0AEl4fRwakyexiD3vaBsueevcndwdXWsvbJqz3nLqekL1mru4m8qYbSnMMuLo4z7k7WrKAHBdoKGMjIg8EQmKQxbkQTKIbQoj+4BgGR9ygiKIPLP9vvW0LHiFxjgOUiKEQ6i5wngIXg+H6VnyoniQSUkHaIPVk3fh8GRFxQ7EH1kdOFPzelrFQwFpHvIT6h/tl3Lh/e0iM8ai9TjcSJ0BM5ITyrT8CUczotP4EHp9lA5/EDHSyCjuEHHEoupdFjn9eKNJ7rPOoj8O452faArJdB7YIZFmTQRNviYhyblTGpT9+00L2LjQdvxm0HxMHQmxlnqCQq2Q2kCNEgy3fXm9XxxBxED8T6fzmFqQS9eIiEBCIKD+7hYLqIw6qc6uTE+m+IqdpsW7qP+a2hWNx3bX1+3PRILupbHk2ytFdS4H0/VT2Vo56R01fepmmHFfAePqRfvJFMiEYdF6+usuCu32MkK3qdWmw1GNlqdBW7w6r/2kiAkZg8rE5qi9WRz/JXDwVWVErWOTVRcaV0fL8ALXzdUOh8HM/xWU3Rxy0R6qN8zzJOqX0Wdyw8haF6Prm948QIV302HC3d0CMkNCiC0UVX/jCF7Bx48bksybvf6/nzOg8zyvfyWdtRzZmmbMPBoMBTjvtNAwGAwDAYx7zGJx44ol45zvfiU2bNuHwww9vrfPrXve61u9nDSUPGK95zWvw3Oc+N/ns2muvrWWgBGHRPQ6C0TZyuhTDGWwssEFvSSIWbDQxRUZlnFCvxshx8thjbNm8JANio9nXjcoTX8moaZQPri+/FCz5hZyVRXlsIYOicoRJJtSGuMO6idCCw8sNyPKLwntlxbMJP7kSauodh7hLhASBw/tdPggxHC0KNibI/W+R1qsUjlg28L3mLSD+aCvGuQ1RGETk8y3E2kEU7UFRP6TybWRkF1yG9Gd48VrJRyB/l/o0NjrTEw6Ixwrgc3BE0R/u5zAq4zET9yuSMuq27Rgml2J9Wlln+DJEvoyV0LexrlLD04ENZBCC856ivqi++J3cSESkT99aT/6458qHtifGN5Xe81Gdo/4Iz3Rcbxbl/yIvIZAI6chBWS/+39A6yHYNJk98vomynksIukHQQ0J6hHviHCKB/OQ6l/VTaXGpP0oLOQKi3AnyXUy/NRj8UV/WwkfR1JuezZRNwwdWWlBdKqfy4t/q9F7FypsrcQ0mWwq3y2yHHzXlovlZqdP5RPIqF5KPhFr5PlAsPUZ55Gdc1ERI58zqnDotqrLTUsrlj4MuJELd1F334I8Q05pvJ1wYvy/Tr8qrtDpdyKXN9amsnUfUJ/5xvHvXFuSEhFnLBICNGzdi//3373TPnnvuCSBEEMSQaHa5pg577LEHjDHYd999ca973Sv57uCDDwYAXHPNNSPJg+WGkgeMPfbYo3Y/yyiMG25kxQJqe+zJXWGoh8z0UVjnwSwgocqx91oMg/jUAPbwIuQ8iNevEhcQ+dkBFLxXm6/ya9d4L3kUDeC3FGS+DnHLrHWRBgYAjEVhXeOJIxbchexx9MZe8Oo2e78BMYwlYkIMpwJgz6bbWx4MmnhPf1lHbKRxG8M+v+C5t7DRPn9ePEQ5G9KTAlLdExmXj0L0T6GuzqsZvPY+V4P3rIN1E0iOOC+E8fqPyAkKnu6wEcVyBIKFJD0MRnloQ8iTwREIKBEsPG4kLwQsXDQJjxdikoU8gYGkX4NeQkSJRLDEKGyejEPnnXY94vb7y3s7jMNwSkisKwIhS6T7x4+jayxxlA3r3hv/ZR15b0fc17GRLGPUem37qA82zGs3pFDIoZCexsHtEvLAypiT+htePFhPtPhx78VH47McqULyBMm44d85qkHkRjUF82Vp/aPnK7SlZvHo+y3y4Fe8jumcGHKRxCRIFX7OAYG4HGl/0FdcVtf9sZREucSfh76u8+a3vRPk+1KOBlAgcFpk1JEnMp6XG1VzuTy+u0LaO5l33ZU4OoqEaiMQmjDCY1qRD6wGCidF6RlbUu8jl7WEkQLTIqxRJu2n0vi0S/jMTZ3XoEqw+i2m43RPpzaGd2FCpo+NurJGj6fynNslB4CbR+P1eMNVFYLAF5L+XrnWJNe2vhfG0FlFTkdVt0VhbLuY/GjFNpnjYs8998Q+++yD73//+5Xvvve972Fubq6ViFi3bh0OOOAA3HzzzZXv7rjjDgDADjvsMHa9lhpKHnTCrF6IHJLeYcAHozTzRrKrhQ+ODsaLX7inRmxq5ISWSPhwAUlMZ9hIC/vLZS2XliF6qEY4yIJW7GuS8GpYvsb6hHRgg6O8LSL+uWzsJItmGxXEhZINRjz8FgYgHM0YyUzKIE9oEC/qfT2JowNs4b3JYsAFPcWGTZ3u08gDWWSGWAP51/DXciJFMhIQb+EIhmWzfKcT6b/IC87jym3tCEZvGFEpUZHkcPCL0bBFJCTAC4akRWx0ypaR8G/SvxzZAIRFXfDcMwHEJ4JYW0R1jUc0Jf+FLTAl3QC+X2ENiMMOwhMVPwMIdZExn2wZSccseKw5/TD5JNE2NXJZeDC2S5EkQefhWnBkA3yIfrg3JJNMljOoEGfxc5aMG1kYC/mESG5zLpEgKyVRkjEsyR0pjkCQf8n/XoXoNRpfXhclPz3F9XRXp4vveMElkqj6XaUGYduGr2eUa6J20ddEKPuPrR8X8nsXNC4wef5zkkqySrqqVGXmmDYCIRoNZaO8otcxFtFukEDef82XUbi+UfAkBEdbBZciasHWVHOcvlltREiM6Ucvxc8+TS9zvB4Ms1T4yDbPGx0Rk6wtF9VUpa7uo4m8dA4tyy4/R2XpXfRFpZ/ivpJPymuBlkKbiqiNQKDm7qCaskt6L5MO5fdPWuP6Pqv9ZOIxsnQzvgI44YQT8P73vx+bN2/GAx/4QAAuF8IXvvAFPPvZz06M/xtvvBG//OUv8fCHP9x//id/8if4y7/8S1x22WU47LDD/LXnnXce5ubm8IQnPKG1/CuvvLKSs29c7L///p0TMwJKHnSCN0qmQLKsHSlKppQeDPXY1Ey94UntxMMaedNTr3fKilr2Lroauf3lrpXsLRUDiCL5npyIyAqkuQ+8fBL/q9S6gIEFkPkd/84Ql0WhCbkIorwEiQe/LN8Se73FIC5gLHsKUSCYBwQ5hcJHM5T29RuKcxIQ7y0PJI8lpxtnFGaBjfcGn+gobofTfSXnAcWbKuJMAln4pLIfT4w0rnsktxx54K6zsJZgKM4cIDoRoii+JYomqeheti2E7TMivwCfCAIhiUQ3wQPpxw4CYZNGlcS6l1MsMrhtCgV8tIoncLgNUX/JNgVEkRj+eYijPrj+rnoWhqNjyIb7/WkPSQlxVEYUPRF7F2TsEDwxI9t0/AkGfvGT1N6PzxChIZEUZW8BuTHoCTgx7smXTTFBEY9BCs9RnFchzDU2kD5CUvjYFYOw9z+VH+YamQNS+TLXhGNaOQIBsjVIch+ggpiciOsrESPyjLjuND5KQAhabyiWhKfy2uG3cYlsKbXuiF0vvV2uZT2k+S5HLdRHLBxrSYJoAR/n8VhyTBOBIPfz7/55LS+wRxhJteJLZETbdZU6lTGucV1+9suiZmms25qxgPSzUQZzzf1NBt/yjStX2rSGUGr0+b8mxmTUTxjjnpq1LWOkM8YQwOOuvv6jyAN+X46ak2oljyYmqv0cveO97OpYGDcSWN7JaQTCqHdDTPjHnzXn5qnk7RlZz+ltjlTa2kNhsQTbFia77y1veQu+9KUv4dhjj8Xf/u3fYn5+HqeeeirWrVuHd7/73cm1p512Gt797nfj0ksv9VsRXvva1+ILX/gCnvWsZ+Gd73wn7nvf++Kzn/0svvjFL+K0007Dfe5zn9byTz75ZJxzzjmTVZ5x9tln4znPeU7n69cUefDjH/8YJ510EgC3RwQA3vSmN2HDhg3Yeeed8bGPfWx2hbU9/LWenvHzIxjKkFE/SR/nTHKKJuDgRUwTxslxgT2UJyIX2l7AIPN7hcWIcvvwefHnN9+TNw7E4ItD5stJ+wqbwyVezFxiPW8Y8zF2ACzlzhNEQPmUgoRA8AZmtLDk6hnLYfPWTc7OKGf53sCPPMbxlgikxn0wjFxOicInTHSfG5vDEpBzwsGkZ1mGoWC0xnoxSc4DV4ZLOGgcmULOuIevfxx6DZS90yHiQPST5lRwxo1bKBtkKMgZ9hQlU5CjJkOofzR2kJI20i/u9sIbZARngMcHWopBGwa7GJJl3Uufh20FIVlkwaH4HF7PW1DkxIskJ4EYlH4bR0RQ1JATsBYFOSPcRZXIqRGyqAnRJQC8IS8LFW/g1xyTKa1wzxWPdyFcmJDyRrT/O46yiUkhWShRqhsZ89yHZeNe+oJHptNb5LlPow9CrgzJ9SHNIc7x4U94ieQGfUbzDsiPwyQPCoV5CpBkpkAcKVF/aISM85Q08PMRQp9RVP8QRSKkWR1i4qR+iRZHwYSjNpESCLGRG+lk1FLN3U+Jbeyb3PiSGCVX3gXht0SrdeRCq5FcNuTratQS3dFyV/drhCRru7Kp3jFSo7kuSiPIKf/bVse07a13jBAXUV3Lg3JiHUULbMO/bZhEubUTIUYb8rMAy29IJNiW/DTMeS1zVAuZZWvmUSSfpO+wuhoAMXEwSvc1bxuStVnd0j6VXya1/RVJRALP79F8Eq5JC2hq05SBKKm0WQpTVLBhwwZs2rQJH/jAB/AP//APyPMcj33sY3H22WdXDP/73ve+OPTQQ7Hjjjv6zwaDAc4//3x85CMfwb/+67/i9ttvx3777YeLLroIT3ziE0eW/8EPfhCnnnrqVG3YZ599xrp+TZEHu+22G/74j/+49ru5ubnZFVRrNAS4RWY9gTBeMRkb/1bOP4BF4WMQbLSv3xtNSQRCHBmQGvcAwZAsvQveTmB4wmLPBZUWR94zHRMHVQM2vGosL7aDYewNDC9fZLKxEHmOjfesxxOuuBbd5CzeYwnhDgZGMKA86ZEYaoFgib3rfj8/1xgoUFjXFy6ykPze7aAZMaDE2x39jjTyIJzgAFjvXYfvXd9PkQErBlT60koN/mjQePkFkxJkXXRASCppoxcTJXISkkUMfD/GxFnhFhgGBgVlSf/6/qao7mX9R15wk+hRxqf7xcCw7sM2C2sNUhpOdCMyq+RNAgIMhk5uadHjDcqEzZb6ps9ZnPMgFe9yiLhknuHUEuKjRYMSua+SiI+03pXIAJ94VGaEYNwTZFymtQnkT7QA81sZAtHGjxATNIaJBBvk1sxd6TYpefbK4zSaS6zQnpKjARydUWM0E0VyRV4p+SUBQMgPYlEeK5Uqs+hoIdo4l1v4BKy8sAw6ik3H6sGnI1d9QkbI5SUCoaHWbV+GSiEaX/J5cl+8UG+TN5o8cFcJgdD13TYueTDqnphcaGvTCCJFPq/UoUv9EHQ/CaTcxPu5DJj1OWdrGrb04+wJhMkiAGYFGxHotvRNZXLmuTP83rombtHXaPKxTBxQ7WWNuQlay0vLaQ2iQFSHKOI0LHTq3ydhPYpwf6Xuy5GPYO2RB9bOPufBNPJ23nlnnHzyySOvO/HEE3HiiSdWPh8MBvjzP/9z/Pmf//nYZe+9997Ye++9x75vGqwp8mDXXXcdK+yiOwzGSzbUYQHZfjcAQkZ99GgOOQwMcuRYjBZqYqDwkol6MHBkgzP8on8RL7x5YY0CuQVALkrAALDkjDWLwts4MkHGZIQzirOwFcB7ZllbRJ7YsMgTwkM81yFgPxhlhiLCwMvOSkn1JMVjwZshCLA5LG/v4BZ6A7RiEEey6yIPJLWda4Oru4T/Ow26+hc2B5WMMW8Uc70z6iHe1+8W2u5+SzmsLWBJdJNDDHB/QoXcVdK9Iz2iNnj58PILyt02DhQgNgIldwBFkQ1x8ksT69yPn3RbioT+F8jdtgUb6u6NcGmDKyA1MikeQ6J7eQk77Tfp3tocjlQJZIwh92yaZMyUklayfFkYFdYmWzp8lgbJ3+A9CIgM+YzjJdLogJSAEMPYRcUA1ieU9AQSk0aeECo/VwmBFhtDgWxLs2NIwkRn7EteiIRQ8XrvIUTCRHMCZZBoj7DtIib5Ql6LeH6KI1Xgy3Malfb54yWlbxHRc1we2TCXyZh3UqLojgp5EK52SuUkm1b0ABATOOE6rrm0LSY7vJZt1G74BbUnJeSkjgqhIuSTq3kzLNfPwG8VKRMIpfY1L4VjqWEDVFyzROZE76SGe6KPm6Ml+EKqfNIsF3WeyKqBEcZu/Hm9rur8qFUDg6J/R+m8nANkGkOyq2E4qu9KOvLs1mwMz7aYiHgb3kyReGnL/04r1/9S/rL0+yTGe5e+nq2u6ohslKLXxoOQp6W2l6IuG/U3pafbj6eGiANvzFfGSHtrhXDv1q9pGSk5IGspRNcYf1eot0nEUVLXuC3RZVPqztY6LtdiwkTFSmJNkQdLhbopctT105YYjNoMhgr2YRZsMmRsYIbQ3GRvc2Q81YVXGwsvr4gMeXdv7G3kiS3yiFYTx4X97EC0rGLvTkFuqwJxYkayznhNF/NseIiX28s2yc9BvpvE3bYF51U3MD6/Aiwg576nxxDG0QehnHhfvHgSCwBJMknIy8GFtSdMtH+pBPmmpJskTNrasF2B9RFeauEl5cdCSfcm9q4j7hseDVbC5cE6j2T6n8NYC3qKIwPS/o2vtryRxl1rw95+9ozHvtjYuPa6YP2EJJYx4cB72SVqwJZlpNsKkrD/SFfp2JF7PTXEdZNoDyF2eBEQJ0yMdAMqyw7EFxBe2n6rAoxPKCnPkRXCJQrtT56rpE9L5IEteAymugf8U+vHTejHWOeZrzeieot4MWrTY1zrFm8xOREWTiSLqaQMG+pOzsglOYZTImEIIZEqEOYrivUTG+cRhCxAwdyK8fNiauBVF3/pNguRF/KZyFxDnkAoRSCkGgm6aln8he1I1j+LtREIsdxOkQxiwjVFIEyKrm+zpjCPOhntbaom6Kxqxf1TGpMNcqt6tQ31EjlSx4YKeqO8qX51qBM2K6O0TlbDgFoijBN70g0thuk4IipqGbWai7+bJXEgIm3r2J8KFbGRoTpuka2ROek7vdpNs2gf+b6qpwMIdWOkS8l1w6LtWj8nJO+O9OfyvO8dOk3bFBp05D6dztB3+aIa5sw1BMlCNmuZim5Q8qAzzLI9fzIpZZShRwPklkCUAwAs+F/LpxcAAFHkKe7DkEGGQTA0kTKgBUcbuLKc4Vx4/2vwayb73BLvdA8Z9dkg6fFe/0g+Cm8shJhkN2VbkgSNUWsjzzFRDxl6MNSHiaMpuB5W/rMFLOUgO+QJ2gIc5YCoNqkHNvN5JAxlyNCHRGcIxDvt9k9nbETkrA/+l43lYPxlSRuCh5f/jYxbi4KP22QdkxzamEf0SPCKuzaYRPchyiSNPPAt8PJZHyReX/eZeKxF/2kiSad3p5vMj5+gH5crwB9nYQFLrD9PcqVjOU5QGfq0H+ko1r1BYUOERkG5D6E37CGPh0+8jSaJnKAe4nwZBLgxw4aDRK+IT9z1JssmSupejlgJ0R+pV8flEpFeDIc2uv51feIifCR5IqV6iSJtYkJI8ndIrhKOn+BTQAIBIoa5X9xItAH3o6EMSRJFPwosjwuCQe6TYVqS6JooNwJHJSQklt+CEiIQpPclUseCPe3+JBRHKPjTFhLCgcK4RIgOSE9zsIhmA8iWLheBYHyfhsFSTx6UF3JuPpTtRGJkyvNk3cJMyLl4lJe8UxWwQUz+uE2JkJAIBCGcUgRSognyvAcvmPSo5NooCWyQN46hWSCpaSX0oOxhjfUr+mlaIDNxaMPvNrrW64PCJ6nea+T65JQitHlxHuS36J2KKDFpWr+RchOUFvmVeo6DOPJk9hDqdZI769rt6Qa/haRJds34Sd4YdWOtJH/s+jXB1hvVEyOqZ2Mdym3qgnS9N568+s+p3AeUPnPe6K10dZDn/m43z1I5Jim1aqinZEaYEhrGXOe+K5Xl2xvIZr82iHRRyYVV+Sz6rnVcTmto2GgeSWlYhWJWUPKgK6jtAZz1oynMpoR3F5Hhx55T9uh5M8cbmBJSXRcZEDyj7rfMm9qGXHC4W9TzpOeT6sUvjNi7nnrABc5AIpDNnXcUGXsb42tl771MzrFXNz6twIWLw7dUjG53KoTszyZI1ITxxmF4EZU86nE5XkcO3hgh8L543vtt438RZc8neU0AiW4CaZCG/juDSpL0JfXmfy17JRG3OtE9Bf1D9BPg9GNq9BNehqlJlfZr2oZAHoQtM7wVwka6tMYv+mPiIz0iM/SDif6Nay5mtxt3hhMacq4D1lk50Vn6X2TYet37i4HI8CtHHshzlBwDSHW6yVDezhG3IelLyLjnyBKSO6JxH/dpsiVCQrOFpQljNO5P98RJwsTY8JH+DgRLvOiRsRcMTe4DNjB9xEo0EkGRzmXLS7SYqizsvMzC5wyRRIzy7ITcbRTaHcmN825IH1k51YMiEoKYALWo1pvHU/hX9AIkxiSTBZLYEZyTwekjcEtJ4nqKxo4fV6VREZ1SEkNkxU97BT48tiQTAOJ8FdEXYh7U3VhnyMr2iZL0etjyqA+/1e+Pjq6LxkZTm0O93Xzjx2WluGhO9Qv9muq6QZsQEs2IDKMG2EQYVQz++jtrFhBxP0XXVNo7AssUXLB0SJUQPmv6yL+s4zfZGtDDjED+r+bv63Vloz+ouYpKP8fPXNMC2VZ/rik8nSOA6rNMpYY1zEBUqhMXKHNAVwIhlBKv8RDmBnn3Re+nZEaLyfCyYkbML9ODJxGeSMfLSbMNYQlyHlRCChWNUPKgC6jLoz67Qec8hgY9GmCAdRiSQcERB25/uTPg4gWLiwDIfMRBhkFk/Ll//Z5vHxpOIAzdJ9Z5HQHAUsY5C2QvNQUPpniOfXlu/328YBavrpvDxHsJV2fjQq0LG5MZxF50F9GQUR8G8q9EBsQvAg5T5hMbQOAMCFx2dOSRGDUSLWHQR4bgXY/lE79WnR926OSD99+TRYEhJznMkz4PXm/RSRTZEPWBW+oUfjJ3J04ARNwHPNEb2e7BpEnFa48eMur5Po7JG9GNM2bkRIswNmWDRGw0E9fb/4Hoqoe6yAOna4OcKGS4J3A0iERNBAM9eNZFboaMBiCv+yDdEUo5LHI+5g8obA+GJKoEkG0v3hBmD7uRyAlkSWRMMi7JujFfyjfhCIHCj3v42nNEj0SrUB9xPovKuORogAJD/3xKpIdBzkcByRahNI+F+7nHsjNvjIqh7OordXPjSHzs4VhLw+usEI2RcTRJml8hkBPu+c9A5KIPCuQw0pdJ3gDXjnAsbC/8y+PI/RvPBe7+Armff+pOjpEkinEeiLqjJb3OiSMabA4bjX2ZAwr/icQ2pCRH9WhJRLp2+pOZIJZXJrjcxXXbNWQxKZEKoo8ckvXBwiYyy6iGvKbeZYLQx/yZePn8LSVvW7IVqlJaVIW6sNf00uavajx8yfWpl7JMtLiZ0Y1lXwdPJAQvbUwayAK+qW6BFGOZbQZELK+Jyyl7U6OIgTpiJpUbtTVJIhp5oKmol9FUZVu6v2E8tQupq/c43tqxCkNaTyZ//Pitkm9isFXERONntB6WZt93WDeUqtbUh76d5Xou7b705miEKuqffxmf8Xuvq7wi+a3sAIgWbKV6xs94uczSM1UmEGW8WDGhA4Eg8mxpjDSVHa81ZH5PTjLz15lknMby4jE8SxPV8jsmBUXVKGqfqW0dhaUlOKpRyYOuUPKgA0Y/7iOYxDHHo0xsBs44D8RB5paPlDPjVg1tF69r7PUukwdu0iy8V9ZgCPjIA+O962A3m0yKwXPsjiU0ciJC5P0OS2tKjEox0HxmfgoLE8nv4L2uSOWn3m8hJ+SF7bYX+Mz/nDiNIiMg8RiX5KbyA3kgLzcreSHEgy9e8NLLj1jLsUEoeknlO+OdD2nksPzopAMY+CME/UspeKb9MZa+j0NfI9KN2wZhUZQiD4gNfjFpkeyLjxJhVuoOlu/a4Da4iDEuuinnKOC+TXIoiFEo8sULjEjvsoHGANxnhU09+n5cRlEMFI3HVD4gZq/kDHFHk0qb06iVdBUoei9F3ESEUNBN7gxua0NbZezAGSSB+IjqHB3RmCQNZT1ajjxwBJ8zuv39PiKGPGkuegkJPKNojCgqI3rIQ6QNFe74TY7ASCIFRDqV5deTEgB4qwXxzqXCzy0El5vARQwAIbFX0I0/KUaMfkjkgHgcxLgsQMhYXgHJ3SLGT3zUYxopIWOvvAANnje3PYTlcZSDa5domusubYoIDmcPWQQvNRsItuBtGkI2lYacr08UcRAbGgkhwHIlQa0t0q8Sg6vBQITUXYwG8vNnM+rluPHabLxWjX4qfc9zDFXrEKjmGhmUmA2Vqnr+AGh1LsVjrAnJ0IuMEmJPX8XIjdtdbmtizLhKVjevjIAvWySEv7svPuquq+ubcciEkjEXoVYK1dcjrL+a2mKTa9tGXlc0S2wqoe66riXVX0vRFSOLr9wpuqdGvQbCZpS06H1ekdsg2/q/Gj/z/VpLXFH0L5V+r6tkVK+k3tGcJqXzM1cjJJEX/guRcOn7iJLfY/I4iDFJjVD6Lf59vGerRL4kE0BZTrpOUShmASUPOqH5JRi+b/5qHMYXgF+YZ+ihZwcAATky9jwa3jfs9uDDT2/OE+q86Zn/t4c+YNNJtYi8uAVyzh1Afv+9ZQ+kNxSQel4NxGvfR4/LqYs8IDgPLHiBG2IGXNJGS8EDK95RiTzI0EcPA4inPV1cuWz/uZ+w3T5l2EXWkTOcRTfBA+u89dKGHubYFOz5udiSeCt9Dn4QEQrr2lHYnL3gASEqI+ieWPcGGTIbeb+9fGJaAiBaRMF1EK99weMmrX+q+yzSvbzMisij6U7pEK+17ONmj5d/dUneilT3Ilt0b2Ci/suRY8i9Ac6PQEy05DDo+RdhQtJQL9J9HJVBCJ5eN8bduBQKIff9YRF5+Ii8l97rhoLuY/kAee83YQhC5g1NidQAR3/Ez3MgUqT+YUym415OoGBCRRxqWPSepoJyyIYdIZgycrklMuohRNtIn6ZbOnIaunwQUci0I/0IRvqX+zSOhsl8/hDu08rpJZa3hRSsBSNmsyOISvOX4dwkPtImyl8BWWyFWntJFoWzna1EIZDXB0XPqzFxPozIw0PlhZYjx6yVox8LoOBtR3Jhsh4MJEdMyiXGHufFKJBDCIgQ0SC5JaS+4X5Xz3LOB3jvcoi2cOPD2jwcKYlSboIokiE0g3zZyckU3tsan3hSj7r9t7ay3zz28DdKqhrIkRxvZNZEIIStONWFdnIhE9ehVmUdyTstjmBIx0jcRoJ7Z7p3YR0xQknf1e9Vjtrq51ORRw0qS3UVRryNyIx4q5STN56/X8pm6t7Cj9gRR2F0EF0iEDqLi43MprEi/d805uLns408gLtfDMhKBIL83RxNUhblyfXkQwrVremhsQ00f+RRqGEiK47GiHVF1hNr1XgHE/RQGtPw4yyQVd27MzKiE7k1/esll6WXI5oorav/uOStj76rJfWSKLL4e+57ClGuYKdb03HqibzIQZHm9ukl748QyVYlo9vmkbrIxa49YkvEajJSqfqde+evLay2oxq3Nyh5MBao9ddO93S+hmBshgwZCo4akL35Loog+DBlwR4bOhkbN5nN/PdesiSk48RtOXoAAYYX9QUN3TF/fhINnteQqK+PDJzc0KZGlIVBQa7WAGCQw/J9lg39kLSP/MScRgP02FDOYGxKHhQoSi8J63TCRwi60yRsWNQnBmwqm2C4/vwytRI6LydSSHQG/0sZrAWK2ACPEheW+4Bs2HdPoChpnxhPWVT/KC+EDR7r1IDNfN1j3YfXJxvZbHBZ5JAj/AqEfnQL1ybdR22wErkSTCnxOsRHZiaedoSXdZLQsNK/bNz7rPPWe9kTnSNDnOsjePz5BZ5EevSq8kGQ7RthSwUbe9Yd9+i9+dEaUfpHDOWMx038fMXjXhb+QIGCIxBke430qeQWiI9l9FtRIvlpNIn1f4PgvdmyRULGiqw7ysk7w3iX5IlxkkoxaAmwYuiD9Rrl+vDtDGSW3ypSdywsFyDJLwHZMhOOJAUbPM4Dj0BUSoSEN/bjbUV+EvMGmCU2tywxARJtM2Aj1C/yahZ/6eI3bCuSn2WzEaJvfBv4+ScQyNREXiD0VfCAlVN1povGkEMhLPj8Ytami8yQ2JGN9SRyAr62sYzIAkJIgye/Fzy+0gR5qWFUY8iVow18xEW5LsT/l439mMAhPz9KHcjLi2QlUR6is7rFOj/zLLfO9qsmYhMCJ66XPGDcLguWl+ZJ8W2hsvEjc5D17fHJN+MM6S05JeoR9yCXa1Mqpx1N8mvuq4yvOlll4qC6bqIofKPODAdi3ZUNzLJRX5VRaRGl/VBFTExZnxAzPAPp3NO0ZmvUzRjbP5J2yqPga1kmXeLnuiwo1h/PPP42/7LgsRLVvaLMku5q5Kb1K9cXDe2P+zWeG8ZYM8d1KdeLZE0n18s82UG8H7/R2pcMgEAixNG+QmSG7XAipc1xmD4bPlqO0RyJYFHehmCjviNQ4zOlWJt48YtfjPPOO2+se/7lX/4Fxx133MRlKnnQAeXw5PJ3U8mueblKeQYZerbvlsIEt/gH8WkJxOHnDrIfXoyanpXIgx6qkQeSWMzJcp5k8fZaOM+xRA+4SdEbrpwroMfkgZSTkgcWBYfjuomM5dqQCyF9+QXvdyy/Z/uRkRbMnQIWhc2jFyahoCGsZaKC0heIZPcPRhQTH7bHLetH0l0LcusMHdF1Ti6Cw3BUhiTyA2s5ycTPhlpmJaeCGBWiHTF0cvZwAjn1YG3weBr/EhXdlA3BfqJ7kS9+U9e3Q69j16/O22nYWJQXn3i9RX4ghXroQU6MCORBAeMWV7yqcbp35JYhwHKbXM9ERr141znywNhYN7wLnLeduDvF3MwgiTdhAYNADElCzYzlS7SKz2dhgxFe2IxZeSfVos+LpwzO157BSEi89ybzc0QDSMREMPRNeAYJkPwh7lfJj8H5BFA43XA+jkDGcf4KGiQRH/GcE+J1ZEEDgKOPCpu5qAMb9lqGHBAcTYJBlOMjJHtMnlcMAQl7J4sCGW9fyODMfkkqGk798NFCSCMFEqKS8qjuLpeF3/JiCUW0Boy3K7hoJM6LQVUCFF4ngcRyEiycsZj7tqUJWKPFX8WADUQN8ZgW+aGceLHnxomQG/5UmJLB6UgxZ+S7LWgS4WUrZIAoQ0jDeI5zi39+CiWaBe4Zl+/c0aCAbGNICZcQocRPrh8GIs+figEhdcLpHZGgxvehl+vbFCK5kvsr3tGoD9hDKkSWjMkqmUEg6kUL9nI9pU6cGYRJHG9/xTWqkAZhm1eQE9qUEDX+GNJwhG+Q25BEkwIx5XUkfdBR16FeAFCkdlFshNnmSIZGwxPwYze+OpTYLDHu17KBFFXOyynbczH5WCcvNVaLalUqzanxZMfXsDGdEAX8vNYLrNNXbNDX6aYbeeDGXklv8SNs+UhjsYURX1utZ9q/vAbxS686EqREZMayfa6D5v6VNU4izzYYwtEaBzTeWjqdN+L5JIqOkGuJy7fu3dClJ8JpRVFS8PgULXLRvlJ2HHVApTm7fryMQni/JZ9GJxTF1/otzITKtlqpyVpDAXAOqdnK3BZxxBFHYN26dclnW7ZswWc/+1kcdNBB2LhxI+6++2585zvfQZZlOProo3G/+91vqjKVPBgXLXsho4vGmC9qJnxe4GZsxhXogSwhp0UAhEySeLFh6z4T8qAPYyVk3rCBXCIPoiPrcutCvwHrDViDntu6YMXIoYicGHjjL7NskFiTlFGgcJ55ZnwLYr8diQdI9BjIg8yTBgP+IwRF5iMDwqvZhSs7w9C9RAo4MkGOnJPXWKi7O/5RDOPMiiEo3nU3wYpxb8gZrda6cPEM7kjIwieAtPCvVsq87oNh7H5yfRAbyEH3BZM3gCOG3MLRGd5yVkSse08aeGIl1r178UrAufStiwCRJIe5T4Bn/cvOIPZM99iAFeIms1VDtuCXsxy7J1tTCgw5NwFHWhBBkgtmXr4QH7zdgIkI0b3LWyGLAEdDZLTIpMGQ9ytbCMvvE3dSupWjbwfcusxrskCOgsP9iigJqYu8cQazrKdkMZBGqvC2F2SeGPJ6sWErCghMATmjNuNx77a+uLEjeQ0yigmtvh9Dfmyzzi0VyDFE2PjgZBs+xcBGxpUnD6S+lG4xSiMPJFUnkywkC9QCBS+6bGSI+uiaeAsKDUBeLiX1dlEjuV/UyFaRsDgK80CSnBLRvwiRAvD1Lny9hHDyx9hyLAwgpFmIZAAMb7MQQzE1EAuOHIHfxhXqGUgceD2LPmSsg0K0EqI5r5AEtNZ4g1zkOYNB5pOwKJbIg8TgEUOHOELAdZjfCiLGP0onX8QGcYB44W1ESkiEhOSmkbbInUFmk+FhS/JS0wJ+zqwu/lmKGOM+UajIKSI5oqsodJjbWIZsA7BMOMtcE4ynOjKjZuuIjxQQAyRPSIQyQVIn13V1StK48RYIEoqSCft7KroWjTOd5fhoSLLJ2ACU/Br1CJJt9LeUHZvp6Y9NRnJsVEYGYd26yZMlpQSkvtQ60kDy0oS1g7u8iOoV5hSHlIyomF5k/TfwhKGMAxvJjeTVtdv/G2tS+jGOUKu7N65X/Htsjlv/reX3YzKG/fMQbZ+qbA/iNgmRVqkPyZTCv/I8KRGLkdPBzwHJlFKS539P+zcmJciX0TzGmyHr5bLxHo9cJqgI/Fc64lNx8uxzNKMn4p0DKpAHElFKUeSB3Bu3YxyjPTxTrlfjyMO4flHLbHhvhPd/PF7ks7VHHigCXvnKVya/33777XjmM5+J//3f/8WjH/1o/3me53j3u9+N3/3udzj44IOnKlPJg3Hg58n2B9E9p5M8rNFigycnZ6jwtgL02GzKeLnP90BC83ts0DuDmP2aEBNRULAJW/DCR5IpSui8QY+JgyDd7/mOjG8XeRBCrOWVkMOdQe8900x2+D+eWAgLgKr8YLwG8zjyfnOCPjH2Cx7KBe/F9ysqkR+HzVv3b88KIcKGIgJ5QLyXNTbuXdvc8ZYm2lcmhlcmRqDItT0IrRBeLqwDCzZ+h6z7ntu2YJ2X3dhYehx1kLXq3ufg5zVFjgwWPRjkvOWigEUPshBPt6L0/Bjq+XZUdU/smRciJOdIFdlCIKd2iJeaIEduBvliIMeRBxbupAnw8yPB5043vDhPxmVMrMTEkKMp3JaR1Osk/UaWPbuwXi8u6ablMqTd8TaIlHiKDWVnuhLi/dQFchgqHOGE3BlMksiznEshIg5kXCaEjY28xODTJ/gUCu/Jj8Z7OMFBIg5CVEayTQcFcolk4t/dXOO25xhOeAger/HJEBKtksGRBxmCR9/6/3I/UxUkOTicwV8QReM85A6RHAq96ESOVNdCUDrjzeU9sLB+PiibItHpEEwexAu9NFJiyPOUmGXW/+72zUfRXjWRDGFRKX0lkuT0DUrlRW1KEjhG2yqShR//WPAJMG63QkpvRAKD3krkS4AY51ZGQ6VeceEpuVFapNu4XX6mRp2B4raOiPGX9q2P9GCChKQPbB6JKOebCMnMqi0kr/XEuIyjM2IDINJV+eQQ0Q359yfLrOR3SCMYYuMwHNtpQUz+gYCwhaFG9eVxEJTuakbgyAVTSVjZdSXiXtfBM+sN93IEghfYkDsiKZFCP5erzvWksvy4bK+3dAzb2HBmlcW5QOI6VEidUmRQvKZzEULx/bElXZVdj0hikn8BaNeZLDBTsgkg1lEQQz6JbRHd68LqywZ+9ZmQCDMSi7rULv6sQtrIfNT+rJWf90DURe2luI0meebK97Zpuy7iINEdj2lfLZmzbHnEleqWbFcI71Kf4FhIhOjZJk+ATGaoV5LdQubCJvLEIj4ZKh5r/l2e9Okagx7V2IgPf/jDOProoxPiAACyLMNb3vIWHHjggXjFK16BBz7wgROXoeRBF1A6kVe+q95Q+b3bkOSXDk+CGTl/YcGseg89EDkDWcyU2HCVbQvBg+zMHQmQFuSQI98sjDUoMAeDDDlJEryCF8G8VxuEHs15A8QZTwP0bIY+G1Fx5EHGZuWi7DOPMp7D51lgL6RrKTKa42iDAXrWRR4MbJ9NkiBdlqQ5ChgOnZdkjwTDyR4z5HbR61QSJfYxQIYBBphDZnvoS3RGUnsnfwjXfovC6YiG7AUfutbasAzNOKQ9jjzIbA8Dlt9DSIwjIbQGxoXRw/pkmABQUAGyhIICNRQnGXQxJYNg4HvzPhia8sI1NtpVTfGWkbBAdy/Bvtd93zo99Su6D/LLug9bO4Z+j7yXDeeh7mMOGfro24H/N+jetVPMNGNd1Icbq8bJBcEdlSm0mYycATLerhDkZyy/hjTjCIGcDCS9o0/+KGMIBSS5nttO0PP1H9g595TZfmnUAEMMUaDAIn/uva/sfZY2AoiOfHTjvo959DwpFLaKiM4LFDwmQyg78TYDiYQRs8bAHYWZUR89zLFuXPJVIcv8nl6yyK1sXZIQcEkmOcSQt0f44xMRkjv2vG7mfX4W6fVA6g2REx/tyfk3CpsBxuVYEXIOSI+bdVtQXELTOKlmmMOckT+kzM8jBSeQdaMokhuRBsl2CISoFFngCtFpIPE6i/xMmsg4du8DH9GAeDFpknqGvCBDlp55ktBHT0C8Q1E7RT7EsA1zkyNMcpfHhHqALVBYl6Q0NrBTb2GDQWyFzHQe8EIiGGyO6qI17O/13sJojIJJ0dCuwueQieGM/Ti5ZCAi/Ej2IcYcDWFd3dK2wRs08ckcsaEOMPGGAiSJOq1EIkjUR2QARFEkZSdAyDXCEVzWQBJsRpf59ojRlUQf+PblYX6wri8luWaqrOjektErVrPoyOdBQVXnrlblbT/lssDGdNnQEyMtLTsxCr0zIDIMuX+qZbtrpa/dz6E+KVlASMdHKQ+MJ3AoklfX7nryJehc2kFeXrm+YyHJjyH3i/u7XMGUJImjfcL38TYiy9sOy/JMmKeZ1Gwy8t3ACWSFbIODRL0kJ93wiTrlZyyWy8Y4sYs/dhYl5JpsAfAy4zoHw9v6e2RuigkIGRvxvbK9INRP9C+5h4BhjbEpJJ773OcKMtE2WhpE/2bJfC9jMl4jjTbU02fPP0cUn4gm34XE3U7NJrpfEnuHucC7eJhIrBJDiu0BV155JZ7whCc0fr/bbrvhqquuWjny4OKLL8YXv/hF/O///i9+9rOf4bbbbsO97nUv7LvvvnjCE56A4447rrUB2wrCsqb6zWhaoMFj0KFUPoSO/+UQYEmOBjdRyLchEZ0L58+ST3wQJsP9VrCBJiHzho0GSSRn/aIlyBevccbGQuZr6V/53gPrwsAtMvbsZuS2YASvZGDIM/HuRpETmf+0nPNAjE0g40WXRGfkEoEgHmak3uPMZpW6i3EfB5LKlJvZDJYkSaXTkdRCapRo28uXuBFio0pqb30ZBEqiSgwbLeVNoPGRjxI1kfZvMMDFZyr+I0m4KVeLYRX8LSboJokqkVwCErmSLu9E9wVZZDJuuO7WZkF2kigx9G1MasmL142IImq1JEx0Y8ZQhsISj3tK5CdjkuWzCeD1KGc2yD7ZEGnD/1oXVRIMt3hLB2/TsT1pRfJcBT9Y4XWfMzXhokt4YUBM7PDiSZIkxsSB6D42NiTqAgQuIYfle924ZMNWIpYo3QaRcf4KY0OkDQC/3SLnhVvBtE1OPdb90C1bbbRNBL1Ifsh74skDPjZS/Nhk80CO8RYEY4ecpDH0j98aFZFl8oTK1hb/TFA4PcNybhLZamCjYysBSuS6DV6BPAiwXs8+maxET9kcbo+68bOWNzQRSIMeDfyME6TyVhmKfd8yxgsUiA3icMqG6LpCHthwPKpE+6RxB0KxRvJqIhp8/aiIjGELkJAkacLE8DxHHkikRkmIKivcVrUGQzY10gll77wjOcOiX0ihJIbIR+jFRkQdeQDAE0LSBzKbUUWeSQya9L0tESPym/EyYm8ypfUoGb3gnvI95iOKiPVfJQ9SA1pKj99SYviKt7iGhABKRmT9NaCi+hmCUZdcE2d8j7dN8QxXZ/z72vttBzXyEuIFKJ9qgkTnRVVepd1ShxojOko+C54/LUone3RGZPTFJ6KwrmX+L19bOVXCj+HwfciRwWsPn/sgjIMwL3FiP98HNe0OE4o/hSQmMNw1QqJlAD8XaV/E84iQG9H9SVOFkOF2RomU02c31Cusg9LTrXwDogiLJHlhQrYCPseM3x5Z9xxFYxWh3UIgOPKgB2KCWxx2kdbr9ezrYJNPUvIgjhqM3w9S90iu7yvJwyP3iNbd7EJMBIZP1x55wJTwzGWuBey11174zGc+g5e97GXIsvSkjWuuuQaXXXYZ9t5776nKGJs8sNbiU5/6FP72b/8W11xzDQaDAQ488EA89rGPxc4774w77rgDv/zlL3Haaafhfe97Hx7+8IfjpJNOwgte8IIJjejVifbwpDZSYTThEAxqgz5lwVvqQ/NdEsU47Fb2qPftAM7P3vP3EwAT6b6wIeldDhfyO4QzexaZ9S5oyEt/jjzAHGKv9wB972vPKDZ14DnnzBoMuRxDhhf3srCV5Zuku5tDz/bRxwAD28cAA/arE3p+sepg4aInMmuwCIKxhhMySoRAvFAz3hBxXvU5DBB0ZIjQ40WKGLCFBTIQcl5AZJyFfoghh3jL3nUHyQPhvN7Oj5whwxzLF++61N3CIrP+YD/2tLtcB25vuwFxFAhAPuJgYJ2Xeo77uIcMPTKJfNG9995z9IeLCOAlOAn54V64cVRA3/YlBsGZiSXd57AoLHk6R07uIBgUlCPHYlh7eN0P0LdzTvd2jj9xWyJ6lBIfhXWRDTnc3t0hhsgxgCF37KcrIxAOEnEQdDPnxr3rVWTRgsSNe3mWnOE59JEThg3zIR/H6QzCAeZZ/jx6NsMc5jwNUo08MF73Q0RJ2mDZyJHtHW7MGGQYYB4928cAc+ixgR/iSdI+HSKcfiFGl+zpz70p44zZPuZdNIkdeNku0oZS8oDNs6HNMeSIppwjPHJkbNMUPiojPka1b+d4XEoUSUQ0WSd7iBw5cmTouQgPchEkbgzm3jAkEMt2dXeRQRwpEeUMkTo7qQWGWOBn0o2/RSsL7ZBgMj5CNeTDELJDnnveysVHhC5iKwrKMUTmozL8nnRPe2U8T8dHtNaQB5yvwiLHEIuu9rQIOXJX4MNhkXldV+SRi4comJApsIjC5ijsIoQ2jOe+ODIiTd4nupRoA86jY4duS4k/TpMXnhTIOr9IryMPrOsda3l2i+T4OgHeEDGU1g2AD9+VCAbXtsLnKynXiUB8vCf5tlEUbi+L86JYhI3qFEfEibxyfgw35iLKl5NeumiI3OsvqRfIGzESKRS/8W0ig4lAiWCIkvSVT4CIpSSedyYhJKKhCTLHSR0QtSnuw8o9tQj3pnXh+3zdawzDuA3J/Wn/1uXFqEYeiGEo+UlsIiMmDdqOKg1jQqJRqi12YwRJO5PWxO0vfRdOh4n0XltPijz8kRRPPsgzJsRcnIOFkxMbjoBKjhBMahrGLghA7vgJnyA31IvkOYgiBByBKOtfG20tEgISzkMeh2dyQl8xyIl6MKbvPf0h8gA+mkSeKydXIrTIP58uQqCPOEGwe35d3fzzSkMfmVNg6Alrizg/iHufGpaZmYGLrDPzHGEnuYNknjf+/QFQhdyOtw7FhHFM+oVZJYosiH4XotOPdYQTp3x8kGyDjO4OYy6iLGqjT7Zt2Ab+c1qZawEvf/nL8aEPfQhHHHEE/vRP/xT77bcf7r77bnzrW9/CBz/4QRxyyCHLn/PgsMMOw9VXX43nPve5+NCHPoTHPe5xmJubq1y3ZcsWfO1rX8OnPvUpvOpVr8Jpp52Gyy67bKrKri40EwDykul2Vy1XzotekmWfM1Wsm7jdAhOAX8hK/EHwpmcwyMgg44VLTB4wp+/8YBbsObZ+oZ7zXnB3rfETZWaD51L8oxnx0tQvkJjbtcH7nfPCL6MMOd/tam+TmpcjDpx8YnIisKcFJKmUO5O+4DtcG1xeCImqSD3rcVRAqHtGsjBhdppDUoksci5H5LsXRjzhU6zx6D/jSRXpAyEnwsQPNuSk/o4SSPe5UVT/XlJ/IQ6yku593gALF89gMxScy0KiG3zUBxv4Pk8DJFGnjJ+ge/F8OMLJ1d2mI477YMiv4zgippfqJtK/6N6AmWRuusjP4BJXGorHDUHY/zTXgY9hcc9PNO5zGffSpzbzp4tkEikDeCMiRKu4/BKS7lF0X6G0bOZIrWisFLaHjCTnByBehBAtEfIciPweMn6eeLzbEM0AuDDsgqN4CkiizZ5/nspJQWPZgTzwtfbsvQXQ43GdIeQQcbkECgjNJ8lM3R+OaECIEBJPiIwXw58QCEMscvtdRIMYB67eabJOOZGjh5DzQJZbZAmGPdRu64zLY+B0LYtr8SHJom/ApQySxR8xqSnbWMS7L1sNwjGYYQEXh69KJEMP/ZDskyFkhCPHMiaonDw5jUPAsxEy79kaeN0EIsnVsuAxlVsghDmXyYN0W0VMNof+L1hWHCHBe6ejOSjkuzCR3Cg8GLLY5frB5fmIF7+Jdy8yRPyxpfzsW5L4qXBSh/Xy5BENbSEiGIp1JV7cmDwoAMNEGNdJ+sUb+yBPGnhSQ+ZqFF5aIJtCDEHQeUpCuLaVTEk+AtXr3od5x55pqtQNNcakvCtCmHhMU6flJsazkIJSpg3v4/Te8G5JREt/+xM+StsdYq8wqnkt4HsnRKdQZczFxq+MQTEMYwMr3hIWRyDERFUTgZFGk5TrmCpQZrJQTtyW5qSUQtaLEZneX0ceBHIMvr2cFYh/41NbJMSKAL8fn08gikP5Y/My+Fc5bslvgUnHTNWrnyX9yQIBnwjbwkUuMSlnDddd6heiAwyfTiV5bhLygMeyRGyQ7+vSMyEkArI0KoD7WQgDcE4YcKQbIc5M5DTi3RFcL3eSkNua18OcJ83dG7CP+Aju0IdRf3uSKPR/eb4v/JiIkh36kRSRAP45CaX576J+sF7b5KVR6Q7F9oGHPvSh+PKXv4yXvOQleOlLX5p89/SnPx2f+MQnpi5jbPLg8Y9/PL785S9jjz32aL1ufn4eRx99NI4++mi85z3vwd/93d9NXMlVgZqXX/Rl+h21fFcRW0MnRDkPesagXxg2BHtscHIeBHLmGVm3cA0RAQYDypARYWAkBDaggJvcqHDGpTthgZDz/mm3bOvB7bJ2i+SBnYfzpjuv9xw5k6FnnPFqfL2B3LL33hKGtuCFPvl91oYy5Fj0CwYDg4GdR9/2MYc59JFhQD0MmPzokUQGOMTyjSVkNktIkJxPRnDaN2w8zUVe9R56lGHO8LYCE79e3SQ8LNzS1RbuiMncOra5QI4hDX2/Eijo3g7AJaFHBnOUsQELT66I7o0lR0wUzmPtjGMTecaDV3Rg10E8vCK/TwZ9k1V0X/Dew8WCIyqEEbf8siJ5eTpWXzyxEtHgMh70MDDOQO4ReeLJct1za7FoDYwlLNrMHcvJujElz4WLaJjDnJ2D86+7uIw543TTE+OR0roPreE+zZHbHESGjZIeON4EhIxzEKS6yYgwoAyGkJIHPG4IQM9HlWQc9eEWaxIPIhtO5qyLPJBxOU/9iNAiGO/JA4bWmRSmoCTihqx4IUMeDhkzc3Yd+uhhHgP0SaJJKHlmc+vSDA5tgUU+etJtTXJGdU49DCFbjxxx4CI9+hhYF2fTg3ueDBM28PV2/TlEhp51uSxke4vkmrBsKjm6g/Ni2EESwSM68Ytd7sscBXJbYKvNMOQxN8QQxISERK0YhOipOZ5r+p6UMH6MSESD+M0WbI/7z42PRZJtUcEwlDwtA8mHwREYcT4MMZ4WOW9FD30XMUEDFBIpwHIDaeAWkRIh4XJVpPN9wd7zRVrk+i3wHMLedOT+HtleJXIlKWclb4eT4CIjaGsiL/Z+Zj5JaRzRUEMewOVkyClHbrfy8b2S4NFT2dEiPRCGZfKg8NEQQ08iSF4FmY8lWiOOZBBZRMGQzrHgIg8kFsnKUahiaFLIZ4F+RJS4+goJIXXIaQEh0kISmQZiRKJ2pC/KXtvCFrCUuygSyzqyFpbJUtGVbEmK2xcjjvbIOdLDG7F+b3gYFSEXRpmoEe9syFURe/L92iOSFe4Xj7vl+7mPvCEpUSrw/RJoQBuVxREYpdwWRkLcI+KjbuzFUSCx51QMOdFhuL9EHviIi2EkR1RoIjkpeZDqivXn82ykCAYrrxJKbRW92cqdZUTt9JESKOmHIMePJmXyvaIvY4f+dxkvznCWMPv67QBOR5wvxeYu8bQN/RC3OWwrMGEslyJuvR752SisIw2KggDKOVcht5IMiHrITB/GDPxRvxI15NvJc2ZeLKAwBFsIqSFJmQmZ4bw4Zj7kI0Dm5wMAEcG6CLKLKIo8ivSSPnCSybhtCb3MRRoMsh3dW5nWuchMjoo1vJ4MRGyk16SnZYsa/8dbYyTJtKOBbEQo2Oi/IrpCvjNJCeEayYHBpJA/qSWQcUKurTUUltx4m7HMtYKjjjoK1113HS677DJs3rwZg8EABx98MPbbb7+ZyB+bPHj/+98/diF77LEHPvCBD4x932rCyCFFjb9M8LmbSJ1POviMUt8R7/zmjPIhzwGTDryYz9j4M1ERhXVGbI8Nq56VU+6d0eD24Us5aeSB36VN7k+fvbuGEh+FO7+9cAuO3DqfujP9ej4szZMH7F3MxGfK9e+Z0Bai4Asjy+e7FiG7umtDCEWWhJDiie3ZyEdNwTDOxIAleXXx+omj7nr84u3xPv5FZMisdYnKwAay5IFAMP6k/s5Alpexq7clyNHgyMkAVrzUzkAD9SCvS7esTSMC2nRvpQzjFgV5YZBb8XM73bskde6O8E0v6AYm6QODoJyC4Dy1BXvwLNBj0mYREiEQoj786R9x3Zl0MgB6JpAH1oa6o3BeYAhpBmDI49K9Sk217l73Bn3WfRaNe2PJERSFe3rcmDEsX17EjlrJ2HCVsdNHhh5lybiR50q2FpJ1hn7O3sOcE9kVvK9cHnNHXvS9gezPiSCDvhA2CMSiseIdcj1mfbI9d7yqDBYLjmHhRKZ9y/EB5FrTN1GUkBjiRDDWeodnSOLZZ4++nN/B5IF1NXb/OdkDYqqF5QJgbyowtBLtIVErzjiTsHtZ2Biuc+bjGRyBKFtP5FmwfAxVbtnzK8Qn+knUgMglS5wo1aVK9VtaqByBwfdYNh8s3JYXa1Gw91gMLpd7RCI8mIyI8mwYIm/EiC/eE3YRiSeGrRgNmRXPlpAmpcSZ7JV3pn7mjV/ZdiPeLYHk05CtLpl/m6TkhmzLyCjn7WvOQI69wCG6iPPHWHnbhOWzmPw5uS0qBZhAoJg8EKpg4I19w2SERJPJuMht5okSGxM4tgiRAvKcUhxNIhEDbBhyHVxy4MKFMUfEjSMhREcxqVEiD8htMTB2kQmWDEKrBY83x/b4yBTRuWiJtU6OEDEY+rBq5xDw5iQkasGfJ5+M19yPH0eUDd1ok9MbEG/JECOy5IH2z4pLJhmS08FfF+dscM+2jG3rT8OwyCte1TjqoBw94Ntgpb6FN64SPVLYQhIMePZm+8SBvLVFDKUk14BEpcRbUAieAIlzHfBWrZCcL9ZBdC9J2V6L3sOdbvmoW+vF5IEQFbbSNkn+GZ8g4sPuxfAXcsyGLRluy0Lw5tcRYK6WIaKKCuLolzjqI4y9JEJItlNEo9m1pojqwn1ugMKaYMsSwR/DS32X0NfwaT2cyBYQs5dJRzb03djiaEZfH7l3zhn9nNA7JiFz6+YNR4bJaWKZO2raJ/PmtSX1ONJgDj2aQx/z6GMeA7uOSXJ5K0m2o6CHhCTwmpHsSqwhyz1NFF3rnlUfk0ISXULhewhRJhFO6dgUagaQ9yM3tzL21o5RrOiOLMvwgAc8AMYYbNy4EbvtttvMZOtpC11AaXhm9EV95EDdta2RC0he7BKS5SIPCBl7Ho0NJpOEd0uouQ8mph76ZDDIMmQEDIxhD2woK7eOYSMCsoJTsli3x99wBt7cul3FEpwtXrs5NhjmjTPUBoZgjBg7LL9wWyIWKUNWuBeAsWCr2b3Uh5AQd7dkm7NzPqJhQM7QGRiDngF7vwE5uSG3hNwCPbIwBUCFgQVcwjtrgycZwbj3HnX0MGd66BNhLuPIBt4KKvIL6/QyZBZyWBgU1hmsQ5uzN1n4dDjJXIaLmsjQNwbzmQnkAdvfBb8sMrI+p4KxhLzg1FvWnfQQU0WS4X/Aup8zGfqGODpAdMNkhHX7zbPC7ef3YY2R7gFA8lm4qA8XrzKHPgaUYY4yDDJnDPajvrVw4ya31nneC1fDonCJ7ZzJEeWbsM7DPrBzPtPEPPXQMwbzPC77hiLduH41hXXEVu62LuR2wPksCh6Xma/7HOdQmMcAPTKYNz1khjBXQx64cW9hyLXB5tYTCrLoMBwSLqc2zNl5H3HQI4N1WRYRQxHhBCAvrKs/CIu2YH3LQsUgs8GbK7lJ5jGHPhnMUx994/Qt0R7yPBU8Jhdyg6EtkBXGRwg4Izd3xAoCeeAiJXqV58kQk4ZCHlhX50Vr0CsKUOGiMcjn4cj8oljIA/cc9THHc81cZZw7neYWGFqDYWE5GsPl4JBIAVkgCYE4YEJijtwGiznj5jAhJcQgLKyLIsmtRVY4nRhrMESBjHrRnuAgV+YuIWiICT5BwZEHQ1sgtxZ920NuQwTCoo8aAR8fGyIj5jg2okdRlBc/Lzlv31q0LkdDHwPkKLCIxaj97j9HKBmEiAuXryYj0ZXrrwIWixwhsxUukmEBCwkZQ5Y8sea2JBHi7R+y8BfqoJxDQiLDZA51yWxl21fPk9XlBbQY+y4/zBA5FiHZJESWRG0YK3Rr5o8PdXNYwTk3XBuHtBCREZJ/gwkXSL4NIXBCEjMxbXI2sBdpK9dvAXLUJ/kaOUNfjjMNeTbSLSg5ORLDtXJrQowAgWaRxKKeGPF6EpOfoylo0bXN551Ik8GGiBEnx89lPvbGEQ+uv6r5F5rIh2DuiDHK0Q9xEkSIUVpOLsrvAiYsiihfQHofExdRREgMn/hVIi8i770j4Xo+SiWNXAjRKZajUUKOjqoBnBrR8i+PVs45IXk1ynUIJ2/U5UsoRT0kZYf1XKq3OEohImtqIg98v1EgbHKf/2PoiE079NckCf7ACWJlm0FU59znSRHiqqw7iWIIRJgQMfE4SqM/JHrDjeXcLvDvfU8eGMo4YqCPnhn4UwwMJ8aF7xVXtyFlyIsFEBnkhYG1uT8FoW/WIaM+BmZH9GiAPtZDNiyKpof8nIIJvcIMgcKiMEMXLWkLkHHjtGfm0TNzmMt2Rh/zWEcbMLBzmLfrOVrSveuMJ9HKz4L1OZViIiGHRD/JWAmbu4TAksS/JtqKJAS4zKh+qxVC7ocwvjjqgMc1/HGjjhaTiI21BrehZbakSPvBoNsWrrzySrziFa/ApZdeCgA4++yz8ZznPAcf/vCH8bvf/Q5vfvObp5Kv5MHEqCcT6i+tIw7iTyLiwC+hhBF1Ie+ZFXMyDbgVL5AworE3vWeAvoH3TguMlRBxN6UMeZ/uwGYQA9a9xLg0jgzowSVgFCOnT4Q+G5mJkcbeb+cndcSHLSwbzrLPGJAayI74PmUcjm8wMI6Y6Bmw91sMWEJeuEX5kELm3KJwGhla50+0NkQGiGda5A+MW+gP2ACMDVhr+QhMAkwBiF+gxxR63/Z4j3Rob89G8iGkh9NRRuJdR4g8sG6az60z9qkwGJI7mSJHz11AYSxU62+YPJDojDDyCrDuyb1DCksoCrfPP2fCxp14IScZxMSTYUMzyI7JCYkMyG3EgVuDIXEEgnWLnXjxFXuo+3CkSt8QkxNV3RTWjflh4TwXxlosFhnIusgD4z2OzjD0h0zyNotB5uo8lzWRB+HnoTVObsG5FGzhto7Y4E0eiF6MMzrnjNvm0uexE4IEgUVyci1cnxbImIyy3kNu+ahSMWgHlGFABnMZOd0QoW9QIg+CzjPrFi+2yIDCJU811vitJZITQ0i+OWMwZ8IzlRGQ8WTgvB5AXrix7gz6zHmjbM9vp5H+lEgJt6Uow7zohOcAR8KR78vcAosFMCRnTGRMKubsHilYtvifB+TGuRCT85lE7rj6GuLxDN5WZC2IgGHhBmdmC38euhCTLmmsm7vmTM9v5ZKoF0HBc+JQSNTCRZEQz1mZDYsvySzjtoaF7UnliBEhZnJY9AqCHHFaoPDRXgUKP8/2KGM9OPl9jrgI24YCcdKHQW4LZHBkTJb0FTFZwMQyhTwdZfLAbSvpefJgAQaFLTBEP3mOy9FPbvtLPXkwRA9D5BjaIXK45L4FGxrBtJZjbPlUFwqyQsYDV6dFX7+hJyLC3FiO1ggh/sE8dvcs2B4b/VKnEHkgmVj6CCeHEELMgFue58htgSEWuTa9qG1xHhafNQblaA8xG4Q8yOEIFkcGCHnAlLrtIUR8pEagGBxDJg3k3/To0xCdEWIW03pIQk/xRof7PYUBiaaQFUognkIER7nsQIBI9EyIHhBYrwluO4X8A+7uPo+zflT/YGS6Mofw0SRWjCiZL2RLi5BmWdR+6+tsuR+8B933Jfm2SxQA/N2ApZwj+YQUDuRB8NBTdBffK9EaiTHoeoxAUaJUIT044spaFMSGv49Wybk0ycPS89sBMn7GYp1JUmNHXA399iI5vjSs+5iwShKkkm+b9J9Ee7hjY3MvLyv6TAJI/Ry5kXHUgXj4HXkY+teN5SEKWoSBwdD03LY/ZEweuCSLA7MDehhgHjszoT3vn2HR9iI/V4DblleQS9Sb0xCZsT4qhZBhLtsRPZrHOuyEAeaxg90RA/Qxb+b4Xcp5jijtT3lvFDI3RwSBf+fDZWyJYwkMyF/j1rURoQD4ubzwa4zoOwh5YKOahE8BcicZgeMSSskcFWsfN998M4488kg88IEPxEc+8hF88pOf9N8973nPw6GHHoq/+Iu/QL/fn7iMqckDay3OOussnHnmmdi8eTNuu+22yjV1n23rqI84CH/Hn9Y9uARChcL09/Nri8QwJxRE7G10xryEQAlxICcfiGetz4a3M6Lq9n6733NyCbxM4by+4lEfwsDYHHIg3YC9dnPGhZw7AxZsrNWc5mClXE4QBjE+OSwU4dizjOWLkTZnnBFYSx5YoDDO4Fks5KUZwrpzMXrgplRZRA/QY0Mt88a9GLD9yIAVg8qQ043lmi5aZ1QNnLaSdUKfl+mDyLjvGWKjKq1/bCDnllyUA1kMPXHDCycb5TxgX+QcRzTMsfE6yMhHZvioj8i77kLqjX/J5RL6bsPOTqf7PuvF6WYuE2O2Rvdwhr3rb8f9Dq3z2g857FpyWzjywEU0iAd8LnNjc65G91LHjAhDw8dBFpYJIcLQDlz+A79ENz7aY8443c9nTvfzGRrJAwLYSIQb9/wyd9c4b6eceeC8686g7RvCXM+gT2DSTJI8Ot1kTB7AujEpTiXmgpBzpIDrU5d3Yx1HwcxngbQRwi/0qfPkZ0RYLEJdiaNM5BQG15/ObJmnHvdlhjl+lgbGEQeiE/c8EhaNRVYQTC4JDg1s4Y7ilCWKPKd9cGQKR9b0jTPy5Tn1JBYb4YsFuciDnLBIFsjBEQjiSbGQYHhZoK3LMi/XkR3VyKDFgiNgcsKQDJC7fsx424XIzZgQ6/HYywie7MgiZ4w8lwuFRV64yJq8cJENOSwTYw6STFQifySCqR+RJ9ZHMgBFYbFAvH2ryJxeIIldC/bik1+czhmRJ57PeAxzzhEmT/qFi5DoY+CXl2Imxe135I7xzzJsiIwYWhdxMbQWfTvwZm1syMWJSGU7nOQrAWQh7UwiJ6vwZnEceSCUQ59pgx5FW2lYmpiQi4WrxQKf2TEUWVSwQRHkyOkqcrqQ1AlwuUIKWCxwbSSvReH3P8MfkSpy/FGyHHIl5p7cnyPnPBYFGyhi8GacuDVs8Yt3R4s2JNZjSBylgaH3NrotHEKMGB85kkYeONJCcmnkXJf46E8hHdx2mBB673QjuSQKPg1E7h/6tgSjP8olYcnX00WCiPEsBriMGTaEmYxpzreRI6coP0ZEMqWnmDiyWOicApajU6QPFpLtSo4QCvkwHNkcxkbBhnTBfSn740P7U+IlkCjkySLps5AfRAxw14Jye+N2WxkJErUBJo1Icp0Y+KNaeRa2ZL3hn9sFrz+pr+z5l9OTvN4g0YYSF7TAp1IF8iDovZdsJ5ITZBqjKMToJR5PkutExqNlfXIER0acdYrmfT17fk3oDOxFWsAQC25rgt0CshkMLTjygPrIqId54yIE1tsN6Nue35ImW9EsgAUsYsgn/CxSHzmGgAFyLLp+tCESYj7bgD6tww72XpjDHHayO2JAGdZRDwMm9t06N8wt8s4YFtZH2uXWouCo0gLugGZxxsl872ZDTx+4o43B0UQklKZ7wtx63PD4FNpUaAgL2dZQROMPrEnwyEj/XTuw7Iibtcy1gDPPPBP7778/LrjgAhhjcMEFF/jvdtttN+yyyy747ne/i8MOO2ziMqYmD9761rfi7/7u73DwwQfjiCOOwE477TStyFWOJoO/+l2aXKaFRIh/ixZksTdL9ugW3py1sJYCccCkgXilZUE/z+RBLzGiKPHw2sgAd8d0W/ZoBe9SbJz1DWFdzy2WxcDPkkmV5ecSHSAJA5231HCiQ1koGSI2jJ0RNWDjci5zhrHzxAYDNrdAbggZGyXOI2lgCovCyv7ZENzVI3eY4oANb2cYE9Z5AxY+ykNeCD0i5MZJcB5lF/I9zHswpdDOmFjpk8F8j7zntBfJF3LAAlgo3FYFgNzP7O10WxvlVcqGZhQe3jcG8z1H3MyxfL/tAu5EgcISFvLQ55TzC5XDx2XxRXDkwTz1/DaLuczVey5D5AVPdT80hF7OBEXOWzoKQl70vMEJwC/m5xA84OtE97163eSWsFgAi5wcYpHIkQeWkOc9PyZleTNvemFcksH6Xhj3GaXbdYZsLBN43FtnTObIYApnJEh0Rg/Oq7zOOMJmPet8XQ8ceYOUPADQz5mQIGAxZw3k1pki1iUklWd+zmRsKLvxvq5nMGAyTnQeEiY6vfTIYqHgSJPcJcukHGyocW4ONsjmswxzPA/MZ4RBBo6aQEIe5GyILxYWWyXHSGFBeYbFwiCzQhKRT0Qp5NK6THQSPUdc58I6gmaRSb6MXDkuUoDHOqx/1noRsbSu56Ka1vWQbCsyAHIQG/muD3vGkRNE7JEv3HxjmWzJfFSHPI9ubItcRDourMVCThhawpbckQi9PESpCCQiZz4iCctj2bLWhoXru625W1xuyYVUMex5gid3+2T8lhsXNSZzfzCEc+vau1i4BJ1bc0dKLBRZ5MmKos840iIjN7aEhAFHaOS8+F3k7SULhfFkgveHelmG5+MQbRaTJZKQdNEWWCwc4bpYiI88kJWG2xrLMhTMLNlCslhw22zGyUIL9vIV7DV080sGwsA4s6FvJFojzLVDjv7ZykTQos0hR8LK89gzEv2SRXlwCJnvy4i4sT2ujxAtYngxYSPJZiHeyvCeF6PCEyzWm6/e2yimao/b1jNpFASYyCisxYIdsryhJyWkNCH++5Dw/bC2kNDpgrfpDIVQEYPGG89p7AOBfD2FwBBSJ/eJIyURshAgFEVyxOHpYq5L2TFhJTlFQnSK8RrgqBIrR/k6GT6SB+K3D9t15H54DVrX9igGpBohIxEpxrde7o0jWoZMojhjmiAEbIhciL3VIRi9iMoU8sDEpBFCjgHxOYuuhp40CcmbJS/VgI+O9jlYvOEa9C2ElUTzyHPgtiSRp71CHaT+0gr4etukVXnStpyjMmTbiBxlLQl93drVp8T1Y3kRQ2zFemzFFmylexw5Zod8bGIfO9oNGKCPHWk9+iZzUWVwc4LMH1uLDIvWRXkt2DkQCIs0j8z0URi3XaZP69DDADvaXTDAADvTTpijHnbKBpjP5P0M3k6YOlEWiuDEGvK8POQtqEOONhxaC0ucbwmWI+fk2fEUgR/37ohLmTEDUcVvNX4C/IYRyHYF468KT5bIVGx/uOKKK3DCCSfAmPrtKvvssw9uuummqcqYmjw444wz8NGPfhQvf/nLpxW1TcBFDDR8XvokvpCAlkiDWEb4XRaOhgiGvcmZNcxZyjXkGVdJFCfGTS8ycqoLZX7FUwiJHhrncSxIEoIV3rh3XnXCIAuGqyMPnJGakgfwryND8rPxIdxkwwJbjqPsk4RsO4+6izxwC/LYmHKLQWc4kJdCyA1vKygMyFoAPT95yiKuvCVikIHzQgT5BetHIgNyXowvFgQUBgvgsHEb9oD2KY34EO+xIz+cfBk2sqAlAEOiVPfOMQtLYB0Rkwccku+3KzhDYM6AIw/g99/niLaMsHznYTbIrctabW1KHrikdxTpBhzd4OpOJd1nhXDbjsAasu4XeZ+wsLfOw+i2Www4WiUYckH3MXkgpJbUnQgYFAZUAIs8LmOfWJ/D/gcmkE59Ay+/TB7kBVAwsTC0AMhgsbAuwVPulooW8B5RF43h5A4yYF0WbweCT5ho4X4fFrJ0liiEDNa65zo2ViQPwRyTB8HAD7LFQ5zD1ZuIYPLwnBEM5+cwyJiY6HGelHnW9XzPkWSDSCc9nmZkHlgowJEH3G+5Gy8ZXGSGePN6hnwfzmfOyB8woSLGs8CRB2ASS6JInNxFkoUSYMmyl92wDgjre2kfDnzkQZDbyx2J5Z4dJ3doHekpxp4YuPOZ214lfTfH+o3rK3lgthq3GHTEKvcbR1AQiaHp2jTv6xnIA3kOLbdvkcdcjwhD64yy3AILHJliEZEHPGeLvEEW3gHBgHU5ZRx5YtEjR0r0cwMJnTWA31rT4+e5x0QveXkUkUdMRhRsYBfAIi9+wfOI5OLwxJkJ2+GkvZLzY7EwWChcdMSieOF4TpCTZwa+bml0iYwdiXDKC4uthWViI/hIM7jnYcBRGgMmxpIcLV6O6ChjooW9/9w+yX+RSdSHCRFRGYXxJO1bKApfH2fsCDESttn0TcinE47SDSSVI2wsFgsX8eHIA9GRm/f75J7BEDESJrOc36ULRZ8JjWCyyTqiB4Lh95I4IATuPc2RIig4OqNI5igxPJOjaSk9SaWwIf/GEMGLLgZ3n41v2TITnk/r+2AYme710S6ZXye4JgQCY9EWkPiBODlpfH+fMm6/icZYIHGi+AM/1wXygH3wpSgby/cWKHz747JDrEI9eSBxDi7qIU4cG3KexIn5AnkgZQ5RkCMCRF8uJ42cuJWxzoMfukDh9e2igtwJK67evPefnS/hWN+MR5MYpil5ErdJypBoFgvZVhMIoR56vo4D3k42oJC61gJYRIGhzXGPnXNkAQ04WiJHD3Po2R52tDs7I9/M8fvT8LqB3/EW6MORB8gJPdtDThYZeoAJJ/3MYQf0McDOxQbMoY+daQ5zmcHO/QxzGbC+F9ahQh7kPG9uyd0ctcDk+yIRTGGRE0c0Wj6y3Fp+V1sMyfL6FJFGkegWsg2CAIkgMBKp5xNzypiSkRU0WN3WsDahpy00Y25uDnfccYf/vRwpf/3112OXXXaZqoypyYPhcIjnPe9504rZRtEQTTB2xEHpHiLOTOv2V/eIty0gznsAANZna+8bMUbcQko8sOuyQB7IRCSRBz02oAhuAhRPrIEcO8enNSCEVe/AC+b1PbCRCfSMTfbdi6e0T+J1JG9oEWXo5eT3/Bq4RZvIX98Tb6kzvp0Ba0uLVDZMCkI/J2zl73oFYJFhWLgwbJlCxSh23l3CDn33QlifgQ1B6xfpfq+2dV5DA+c9tdYtiHObYWgNsiJYHrKVY33PbbfYsc86ymTRbv2CVhbGWw25TPREWMgd+yxZ5d0Rl8aPk3UccbCevdM79oMx2Dc2IW/kxTYwxEaQGwdO9wa9nPzecxeWC29oru8R1mVgg9Ppfq6se+v6dKEIhgSRQT+3ANhbzbqR0Ov5LMP6zBngUvf1PVfvuUxoNsfKD9mYXSzcuFhgY3wxNwB67BUN49LpxLBcwk598Li3bCiHF+gib1UYDJ1uiFyEBpBhISdPyllrOUyRsGPfjZmdB1Jv158DHvPew8njcdEC/SFhIYpqyYxBP3d9KkawjPcd+87TvL4HzGcW8zweRTbg9J1bwpYCWMgJd+eEwdCNoZ5xCxeRLQbe+h75xc+6zGI+A+aNRWaCTiw/pwuFk70lJwyGhK2Zm3eGhcXWnCOHEAzbdT1HouzQs0lf9o1N5oDFwsleKID5IWFr4fQxLAhbcvLGs3jZ12WOlPRyM8vkm2XDPSRL3cqy787cvwOWu7WQ0EPr84G4PnNy+35sWPRLxNLQErbmrg/v5jFydy9Ew0jfDQzQJ4lC4Xoa656VaB4pwFEdlrAld/1499CRHAu5LOgD+TrPz9y6zCbPXuaJBmLi1PWXk8fPTC5jV8iIMH/OZ66+g8xlnBEyIo4O2crP3JaceEEclp4yjoVMFIKrRzYJ43VRFk7WQkFYyF1/DAtZGIONdK4b/ysEqOhXSC13r6uTm3OMN77FIJftTy5KxdVNyE7RxwJvybsnd/lytuTGkwpCXA6MvIcckTFngh49EVQ4XW/NMwwtsCW3nCeD9QQhbeAJ5L5/77lrCv/MyTzKW1CKEHQseWYkqk/yq8RREMNCdOQMcPcOce9tWUn0jBAiYQuhN559f1mec62PrLAI5Iz0l5xeY6I65IUzghdy9+9iwX5PG4ilPoUtOEKSOeNI3lVhC87Qhm0H8t525KHxpJO0rYAbB4uesCpYpryvOKoFYXtivHWzSMqGj2rxuWUkeoc9zjLe5B3uiEEhcGTPu4Ws7GS7X8YRLP454fEr7RUCxdrQvr5xKzzRWWwGLnJZCwUTAVE0m0QGzUU5lzzpZMHvTib1irBVycL6soWM60s0UER8yVHK4pAQ8k0iERD95vb+w5NiBferPw2J8wf1TBifop9FJjTvzgfYUszhnnxHFy2EwhEOxmCX3gBzGWGXvltzrcvgn5FFXgP9bjHDQmFwx6LB1qKPHYd9LNocW+0u/rmfN330KcPOc33MGYMNfUdi79x37+MdshxzmeU1nJsvFgqDhYJw60KGrTwHy3tuIec5Nbf83oj6mskE2SaZ83aqQA4FTRIK50AiifCQZME5wKSi0AghAiEQ/TGZAB6Daw1OJ7Nt11pJmPjYxz4WH/jAB/CqV70K69evT/r/oosuwk9+8hMcfPDBU5UxNXlwzDHH4Jvf/CaOOuqoaUWtEcTEgXzUNCCJ/yb/d/IpL4KIX5yBhw6so09nxC95CfOPF3sZ2TS0nV+SBQimABaNez0tGPfwuERh1u8/F89gvCgayJ/MLcLdy91NfJJ0zHIbZDEo2fRhjQublWgKXpz4iIPMed3mWLaQB977TYSMJ1ZZyCzy4rrPb6ECRuZNNnJDoj6p+5w3TgAil0LQLUAcg5yRWyw677fTd5+PQCzCGUTo1ciO5c+x8eONCuteF8PCeU8BwoCNHhf9EbLjygtdPIiyncORB9Yv4oU8GEbyDQjDDLCWkGdu64XlhZs7YYAXeEYiPkJEg3thBgPGeN2E/fjxQhYgLPARiBIV4zz3EuVBpbo7g2HeWBDxMX4WnlAxZLHIWwy2shdwoXAJFE0RFqIDzo8xl4l+3HipIw96TDpZzoewwNErCwUA9uIn5AHrW+TOsWE3YENRxrwk8csKV0bO+T6GTGDlrChjmUokjuyQLSJM8s1nrk8dMWH963/RkI88yHh5YCVniRiLhfu9z8bGfM8ZQusyZzzPG4v5zHmqexz6Y/k57RXktv/APUOUczimUJRWCEgXbSAy1/fc+NihVzB5ELasuIUTYWtB6BWsn9x5ChajhSIQkQc9YN4AO4jcrGDyrUgMy2FB6BWGn0mn8wJM9uVh+SVJY6WeOzJ5sD4rnB4issORhcSkmxtvQjANrduGIs+weKLW8zPi2u/0a2B9tJUQM8PC1SVs23AGSTCowVttAmnSNxbzxsKQ9dcGY58wYPJEtoNsNSGqSaJL5BkOZEThx6wF8X5dJ0cM/r4R0if0TyAirJ93Bgl5wBFIXL8tubt/q3Hz2rAgb3gIoSN1cvOA+9nAjcu8CATRsHBjY5EJDYkQkTlpjqNJPNGU1RM4Qwv0h64ufSNzTYjEcNEZxM8IOGdKmFeFDBsWwJYsluOeTbCcXolgSaKIEMjdrXkgYRdYbvw8iM4lAqUc5eSJGt5mI/2fC3lAIepwrhRxBBlLPtza1UeIBFiJ/gIk6W8SaeXnfTeGthp4o1QMa2N4/ue51pMxxs07QtJL5Iuri02i5iQSZ8BlZybdymVB2JpL9JTx7Tc8x0qOl7noforuHxZCxqX3S3SRrEv81kCCf085MgkciWKTeynqw8yErUdA9BwX1kfC5fxOlm1AomvZZuR1bgPhI/21WCKL+myM9w3Qz4QE4jVSEYhBIRBcW0KOpIGRqCfyYwCRzqTfUvKginCt9RFABPg5WdYbsqZMSTqn0x4ZDHKDAVyETmGti3wlwgaODNhlQBgY66PUDFnOh+PWB1sLZ2AOcgNYg2FRYGsx8Nt45nnttnPPOVB2Gbj5bee+xTpTYIdegYGx6JvCrz9lrtxaGH6nxXoiUOHmQ+J+dUdbB9JLBoKVjoHoJ7YHjO9X8lfwdxaRTRHustHP8J8hkaLYPvCCF7wAf/d3f4eDDjoIr371q/HLX/4S3/nOd/CDH/wA733ve/G6171u6hQDU5MHH/rQh/Cyl70Md955J4455hjMzc1NK3KVgl8LLc9gGnHQLCW+pnz8jVwFBK9xRnChUBy6l3ESPMAd4yVZ1ddlxi2UM8IO7CHdsWf5JRheMkPrFj1zhYTougWMMwCd4SIEg3gQJHxrp75bzOzUC0aUeL9lqnLkAWGLISxYtyCfywn9oXupLrC3VF6YGTmDZMD1XpdZrMtiQ60oeb/dAnpLQbjHEObZw7LVODplkUNdRd+yzUK8sTv1LOYMsEPPGVJzfsEpJ0IQh6I5Bn4r62arASwMFgtKjNJ5DsXfib3qGwZBfp9C/Z1eWTdiVBj3MjLkFkI94zx2i1J/gtt3lwE79Z1BuFPPGSqinz45I4O87p13bWtBGOSEuw2hPwwkTT93i3kS3bOhuVPfeanXZ/AvTTFgZOE6tGJsEO7ODbbk/JLmPf6LhUUvDyG/g8zpZ8c+YX0G7Ny3bMgV6BmLeVMkizJnfBg2ZAy25u4Z2Zo7QiS3bqEpYdPiVd5l4IylDT03Hnfo5a69UVI0t6+bcBfrpmecoSMRCAOTeSNHvH47992YuVffjZOdegXmTIH5rHAGPpMHFsA9ucFiYbAus86LbwzuHrrxv5UXyO65Ds/Thr7lPi2wLnN/5ti4JU7cIfW+J8+wpSD8bmhwV0a4J3ekiSQPBNfbRac4g2qHXoEdWO76Xs5Gs6uIi/QgbM0z3JMb3JMb3Dk02JK7BehiAWxhUkK2D8jY2KFnsVMvx7rMYofeEH1TYGAKgJ+LvDBYKAy25Bm25AZ3DN2/84uuvvfkYetVn9jL03NjekM/x7wpsGPfyZ3PcsjUOywIQ5a7NTe4Y9jD1pxwx9B4uTKDirG7Q6/AvLHYuT/EgOX2jEWf92m43ARO7j1D9lYNe1jICb/Ljd8mIGSuEDw79XLMZQV2iuppyCIz1odUbmV5vxv2sJAb/G5oOBJBcjMQ+jyH7sB9v1NviH5WYF0vR0YFMuPGQWEdQbeYZ7ib5d45zLBQEO7JjScPJApExtP6LMegJM8t/t24WmB5W3KDu/LMkz4FE6c9cs+si4zJsb6XY2AKDLLCzzsFgEW+956858fTltxFXoiBPTCOtFmfuedoXc+Nm74JsvwcyW37/9n7t1hdtu2uD/31W1V937jM217bjm1ITEBcrGAhNj6OhGxiEBIPWI4CKJHlB7/4wSJKIrCJZCkRSoQFApTIElaClCBBQFGOEII3zMWKo0RHAkUnECFbPpwDvu6911pzznH5vqrql3YeWutV35hr7e2N1zaG7V1LY40xx/iqV69evXpv7d/+7d8e7F7P1W17V7A16RgayZ5FsvdSnX4xhp1jqTo3Hkogi74/1Zzmy2eafOM6VgMf63YN6XuCrUsne88fq9tYKTwZd2Gy+xs7EGjvhQIZOjb9uXWGRbuYt9Fh4Jk+x2D7R3ewVJvC8Vj0+9n0Vjpw6fo9Oe1P9MLgBJwYaKjrSgcvlN2h4ytY6ovr42L7vGObO+pEeUrDnss+pzur0RtIFL1w+BggLNs+vjb9eb1YE7zrAIwYMKQBEG+xwXyxzxUDmjog0EGO/f7bExsIeuqj2xhM/fxewnrwHfjX+ZXMMfVuZ1bOdd/L+7X7fOrMtNHYPts7fGG/9Pvuzz5s960MscnrHhMuwL61ue15d+BnX+8wR9r2bmNYuT5nut1UvUbJO5OHzn7SuaLr8f4eNXsfV5sfue3PuR99D+difJud0z+n9oau931tvgRxmzgqbHPxXHsKFFQJti9rX7t9e+zAteuMk32sniUdo/uk/bgvgbUGzrWDVZZ+6+DFqMDhp4bGIQjPB90rpqAaIiKwtGDAplrrnxoKS1Pm49wc56J9XmwOFgOfm+z314NyXmTTQegMBN2Lnn7v6avN7ekhijzoH3vNnj055ZIbxPb944Q7/3U/3p2DX642vxKOq6srfuzHfoz/8D/8D/ljf+yPAfATP/ETeO/5vu/7Pv7r//q//sTX+MTgwXvvvcf3fu/38t3f/d2cTidevHjxEYrM+++//0kv86t+/FLAQf/Ux5z1xdvkKZPgsp0NeXRPIYfLRIjOPOi153tO/BY5to13eLJxdmfDW+RK28y2vrSgm1KQPUe155JrBHZ3XCfbXIOTDQwttsCCihjWYPn8wW1Rcc2d3Kmhg0Wlp4sI7MEMw8kMy0sHVmvVe3osIlskdrUFuy+fju5Q9Vx+bX+0TTZt4IE8ich1RfFipfEWc0qWqmN1Cbp3xsFo43MwRsYxNJJrjGE3IGtzVFRoMFv7HsfqAXEUE2nsY+noUT+3Uc/VONX2h4vx35+tnq+ouKcFM1gu+lwt6hYtKjT6PQJ+2NqWJ0aEiDoCqWn/taeazgEKRu1Zpercj0ZFn4w6fwjNHMWq4EFodPJZNWfWOyFWdbI8GhV17PT94PZI0h65tzEx4//KHOXkd/Bgbd7YAJHoOlNCDbKu4dCBgNGiXp3yf4zqmFxHc8Q258IEj8QRXDD6bLS54zbHw1m1AUc3qrvxo8/zOlYOUdsdg46NN2chN09pnlB0XGR789X5XB32vimwp/evRvdNbFzFwiFWjqkSvTokIDRzZIbSiCUQXLDItd/SR3zdwYMxaJvXsXEdG7dD0TEZMtE3htj2NaBqqkkqkaFou8mpoOna9vcfdhbNdWwcY+PZkLXdMRNDY0x1j9w2RymeIashyAKz98Y+chs1uTsA3cmfQuN2LIyhcjUWgm+kaFRPsXartpuLx68qRuhLMPCgOwb6vMbQuBm0vZuxEENjGireg/dCa9CaY82eXDxxbazVE9dIFse59IowTh1xL1wlHc+rsTDE3p4Qgjls4sjFk0thXCNr0fbW6hmr3+auAqIKFhxi4zgUUhSmoRIu2mttb29aA3MJjDmQq2fe3m+293SM1uZQGaKOn7NorgjkUsjVc1grc1Yg5lyCgVs2P23+XSdt45AqKTZSNADUQTWnbFm93tsSWKu219PJFFTX9z0F4WY0ACc1vBe8x0rUwpI9uXqmVdsZc9gcOG8Mn8lAjOvR3u9kz9LewdYUPMjFccraziGHjQmiaTJ6fwe7rzE2hqhgku9AYNU1aM6epeg9LeYs9eV5NIf7Kum9TanaencBHhRt57gGSnOcDBCp/Z7cfk+HQcd8CJ3krGBOqZ6lOBtbb8KpbmOvBCcK7gQd156e2PuwWB9OuYObfosyb85olG3+BAPWOvOgNEdufrt/Bax0nnjblwcDTzq7rs+RbmPMVQGM2ZgDWgloBz6UEdSMebGvT9Wc9qX57dpVdpuhAyWDgRbR7Y54Z20uzW1rQ2XXjnLs4ElPiez7cxfM645/B8PUGtN766ku3WZTu0ddxGTpKoPfUz/6jtsZEoM55O861FGgemHwbQMBempPBz26bkvvQ3B7UGiQDiTs81C2e+o56CbhJ/s86vuHd3u635aat5skCsLJzuAZrT/jhd3SU7zG8PT8Drw5dpBHmWqaHKtpWJ7ZGWPFkJxu33bNmtHW9sk3ktlXRXRt7foG52I2gs2vq9hwZmv1Z1kFQMeq0iscWYFs2XU/cE4ZwMKWNtmte/33U17yrruhaw722/63/vv+81O/4qvHr6XjN/2m38Q//If/kP/z//w/+cmf/ElSSnzLt3wLv+7X/bovS/ufGDz4b//b/5b/9D/9T/ntv/2381t+y2/5NVBt4Us9OlPh8qXfX+JLxsHlq631dK3O85ZzJxvzQJVw+2bjNpHEwXQCriIcokZgNYqlUZ1xo/52FWtnkVJVdV7aTvMayh7B7pvgdVTH5FnSKN6zVBm9GvvJ1z1Sijo7tWkUa6mescLJO4aqjvxitNadebBTq6+jLsbH0LiyCNdkjppznS6njt+5RE7Vc6oqyDQHzdHLjS2nGrDoN+ZQwW2qTF40wmdRph4x7AbYbGrzow8sTXWC542eD6num9XBUi2eWxT5xaBj87xHJOPuaPb2zzWSm2PKkbl6og+cjHmglFa3oflXpi/xYlBD6HmqHII6hWPQiFswKnppGil9LJGleqYQORSrBOE19/pcdjHCjuIfjKp3HRs3sXKdikbYe7TSnOTS1KA/18hjCZyKJ7rA2RgIq4097HncnXFwHYUXQ2HyjdthZfCNMRVLzRGKOcnnEllqYFo1ghmcPoNOX87GPIgObpJw8Drmh9B4OWR1EJM6tOog6rEWdYzu88BSPcknzn3uNMdYulIzm+bDy0GN11dD4RAqz8aVMRampA6o78Zwc5zXRK6e62XkVAOjh8fgOFSNmqqzohGm66jG8cuhcgyFF0PmOGQOqTAkdUb7+1RKoDTPaUmcc+R+HbgvgccSuC9+M3yhg2ONZ6lyHSvPUuZ6XLXtKRNiIyRdC2px1OpZl8h5TTwuibfrwKkEjiGyWJRKYKPR38TKTSrcpMyzw8JhyByvMjE14sHGWqAVR1kc8zmxLJG354lziXy4JJbmeTRAwaHRvUNQ0OAqFV4cz0xj4XibCakRr2wZddAytAWWx0BeAncPE3MOvFlG1up5rNHWW5hCZQqV23HlGAs3NzPDUBmfVXyCYCQ5EZAMbYX10VMWz939xJIjd8tAaV4pquZAHFPhEAs3VzPjWDk8K4RBiLe6WLoAUgUpQn2EusB8F7W/p5FcA+cc+1AxhsYYC1eHlWksTM8LcRTiM4+LDjc4aNpmOzfaLKx3njw7Hu5Hcg6c1rSBByk0plg4HDLTITM+a8RJCLfB2lOOu2ShLY322FgfHOXkeXgYyDky57g5FTFUjkNmOBSmq0K6hnAAf9T+9UTwdq60GfKdsJwiyylyXhJrCVTTQRljIcXK9fVCmhrDdcMfHOGgG4HzIKvQilDeCmXxzHeRZY2c5kSuwRhbQvCN68PCMFSOz7M+gyuHi+CSR4ogVaiPQl0cpzeRnAMPp1GZMbWLrDW9v1S5fr4Sp0a6QdsJuulIgTpDPcP5PrLOgcd5oFTPWoOBVZUhVY7TynRdGI6VcHT4yCZY0Gahro5871iWyHxKzDmSq9dUJAdTH6ObhTg2xptm96TjLA3Ko6OucL5PlKx9qU1BkuAb0TcOk97T8VkmDI0w7CZIy446w3LWeznNiVwCuRqA6IUUKscxM06F6SoTErgoSFUgq5w9pThODwO57HOwitM9yQuHQQHAIRW8B3fBoinFU3JgKXr/SwkbeBCcMEZdB4dQt/ffm51RDSxbO7hXw8b26QBD2oIO5oRfAMliny1mC7UL8OZdO+6jv3nqul2ep++gM3BD9+LuYEOP0HfW385e6/HiJm6zz1b7XjZwAUYD2Qa7t3TBgHzKEPBW0cltdl+y1KpnSa8b3a5VcDbW0ENRQOxt8Rt4cDQG07Wxey5tvWJr+akG7g0I62w174QrY67cRmVVXceysTwVuPF2nueu+C2NpKcSPWW37tovnYHxeAFYJcfGauqgk0cZXWvTIMNDcRvraLZr4XsYRG3QY2hcpYJ3DR/hJIGTJD7rR+4l8vNBhVF+4+M9t6Hy9YeFtznyoUsKUpn9o+l5zgRVjSXSNOblBNxWcUeZBb7PffzGRDDegZEN1MbbWAoC4p7WWNhna6/K1r7AvP7X//iqYOKXdvyO3/E7PrG+wccdnxg8+NN/+k/z3/13/x3f933f9+Xoz79Gx5cwydzHf/JdjYP9g+6dz12iqbtgD7K30PUOFHV2jEGN/Cuj1F51OmesG2bZN8zglA5accSqG6mi3J0CuSO9R0tTuA49AluYYuMQC4NFSp1tRqWqE+hzZPBalcD0ng1Zdqa8fgEeWOT4Omqfr2LlGIuiwKlsRoPgqFWNhegbvkSCC5piYVGI1fU77cyDLn7TI6dKi74ZshnaHTxQLYPaHMkoboJWcFib5oUvwUr2XMBBhy33W537m1iYQuVmtPZT0WiYMQ+aONJaNc8SFUgqFmXvYlNr689dx370aHTaaNKHWLhKhTFVUlAnFjOqanOEpTFXVSN0LmyRgZ5JV6WL4LHRxW+itn2dCtcW/R2HopEzo6uW6llLIOVK8InggukUqCHQS4uCOvgHG/ebpMbHzZA5hMrtYdGo8qiGYTcIa3HEtTIWLT2XLHKZzBjrecI9T/o6aHTrNml0/fawMMbKcSqE0EjJom0CQw6U4vCzsJiRlLyntKhsCp6CB4NR3Q+h8WxcOKTK7XElDZVxavgg+IBWKKkQZqFkjwRIORo4Fgyk6TnqGjG5MSbDsyFzTIXbw8phKkxTJY0NHzV6KkArlVoa8SQMSyWcG2FJRB9xLm559Tg4eDXSXoyZq6FwO61cXRWmQ2W4gpAcftBlvxV1xuO5Es4QTw13FoYlgtPI+9lK/SSLHj4bMteTfd0WxqkxPguEIagDaFZ1y0KcBf8I8VSRu4VxKYgXluIZfFSD2KLkx1i5Oa4cx8L188pwgPHliB8d4Tqa+AvI2pC54e4b6STIm8w4V9yDkItnWnu7MKbKlCrX19rP44tAPATS84AbHH6yiimi7bYs+LtKnQX5sDItjfjQKNWxmjEdQ2M6NMaxcXzmSIdIejXhJ4+/HdTZDB6pDXLFPxTCueJeN9IsuLtCyZXDXDajLg3CMAjTrSMdEsOrA/4Y8M8nXPIwREsgbvhzRk4Z9yYTHxvuDZSlMZ7X3fGKwjAJ43UkXUXSy4Q/Rvyz0agp1l6u+HNBHhfc20J6qLi3QpmFac4beBAijJMjHRPpOhFuE/4YcFcJks5vaYI/ZeRc8W8z4VFID0I6NcoqtLrfa0jC4SYQxki8Bn+IuIMm+DvnkNyQ0vDXhbgI/lpIcyOdCqVWanWEoGDvdCXEwTHdRvwA/qCoolNlTqQK4dBoq8AAdW2EU6ZWR7Eyv84J41RJSZhuIAyOcAAXMMVEB1XwA4RBIDbSCnHWdnJVdlr0ut6MYyVNQhwFP4jOCd+nmhCiCQVPlTjBWBrFnCAHpFgJoXGYKj4KIWhpSmcRX5zgBmc5/JVahXhlWhHN480pHcz5TsbuIrvd1KhGqx90744jVKmU5rcoeHCNMRR8aLgGdXVI1opMujApJnKcClUa41XbACyPsvmCNM39brsj7frmLApSTENmxHHAaR444ESI6jEh5gTXzQHX3zsUIEhB33WxDblbUVIdYuyGJg4xAKs70x5lpg1OcN6Yk06UAVg0ALLUsAH+1mXT+lAmR3BCNHDDeaFVfQbnEskVCmFz6MFtqRuD06DOEPaUnWbXoUToTApxJlrbGXHNmA1dpFVfrGaAhTQd+dLTKTYmicOF1rPKdjahnauPRJmFmpLYUw/ZbMzRY/fQNh0G54TqHasPnGLioXkeXUCih+iZR0dMcB4hDjAmoUWHBM9MZPaBO0ksLnBPIAdP9mF7h0N0ePvZBUcNnuodi4+U4Fnw1OipwZvyqsdHi4pERwue6j3F6Tzo2imXIEVnAqp2SiM63UMdEKUhWUHIdXHULDwu8PobnvOdf+1/55t/6meYQmVu3ligCoBEv1cYEnvuwSlI0JMSOpPWm/ZBDyNeKl4JnUfQZ/Vud/bfS9/ELqzSHRZyF///6vFr5fj+7/9+fvzHf5z/4X/4H/jWb/3Wj/37H/yDf5A/8Af+wC/7Gp8YPHh4eOA/+o/+o0/azL9mx8dXUPjCx07O+kK6CM59NCepC3R1AbnOPOiLjIoNWi3vsOfD3ySNlE6hcjuspKAR3o54F3MwTzmRW2BYhbl6govMzZTLDZ3tNDPNVW+8vIjATqlwHFZSqhYp1X7nrNGA8zwwl8DkRx6r1uIdvefcNJe9sTuw18Y2eGbO603KHIeVIVbGqeAtN17EUYtSgZc18bgmHnMiusSpBpwLrE0V9bfIpukD3MbKVWy8GFZ1NKeFIVTGMatzH5TK3apnWSNrDkxhZC4BUKZGZx6MF7nVV6ZBoNHpxnvTwhQLzw4zKVWGqZijqcaFNI3I5uw5+Ma5aDXlUwgkH7a8OYcY60PR9/fGwjEWXo4L01i4nhbSWIlJnU2NzDpqcRbRShxPI8ecGH1i8IFT9Uyli4WpA36bNC/+5ZC5GTK3w8qVRfTGo/a9R4xq8eTFs5wTD8vAaUkkP/JYIsFpHuxsjkIHhW5i48WQuUmZl8eZKWVubhfC0EjXbYsqSdFo2nqK5MVzuD9yXrXdcw1EZ7mxTSnwycNt1BzsTx9mjqnw4ubEMFbG26LR5Qk1QAXajEbr7hLrEhlc45QjyalewUPwloKgRsQYhPfGlUMsfPrmxDgVrl8shCPEa4vgRqdOSoF6t1AWuP4wcZ4TR3/gbk1c5WQ56l3oUXhmANB7h5nDYeXZs5l0K6QbwV8Fbds4wpIrsgr17cz64JlfB+5PEw/ngbfrwFLDJi55CJVDLLw8zByvVm5uF4ZXjnjr8M8H3BhhjDpxS0UWdezLXaa+ady8HpgfItenA0sJnIpuEWOoHFLh+WHmeJu5ul1JXxMJtwH/qSuYIu440ulBshQ4LRzezrS7lZvPzuQHuPngwLIGHtfBgERhHApX48rxRWa6qaSvG/C3CfdvPMcdBnh2rQpsAPMK55nh9SM8zBx/4UR7KDz/rDIGzudka6MwHgrjsTB82hNuPeHrbuFqxH3qGQwJOeyTw+UCpSAf3mm7P39Pe8zkz1faCmX2+CAa3X7mCTcO/7U3uNsRvvYVHCd4dgMxIinhc4Z1Jdw94B7PjJ97A48zt58/0eZKu6tmfKNAwXXAv3cNtxP8G5+C6yPy6iWkBOMIrUGt+MdHeDwRP/8h7v6Rq198i5xX2ptlW1DdFHHXCffyCvf8CvmaT8HNFfLyJQwDMox2zyvudMLd3RM/fI17e8/xc2/hcaHdzXTRA5c87nqA6wl3e0Re3MLVEa6vkBiVbVEb/nyG00x68xa5O8HdCXk7I/OKqCop/phg8LjrI4xJ58xhhGmEGHRASoFSiXePyJKZ3pyQc0YeZmQVpDQFB6LD3wwKYExaZsUN0QRRgo5ZE+S8Qi4M9yuSK7enWVkJWbbMNzfpO+dS3NXPepK2ACL4oqDGsDakVCRndaQ77ce5nSkigHRHW9N0cMpk8EC4EkYqV60qQ86usV23O85FmTYtCzJb1NKh4OIA6bbo72JWd8Gup/1SUKc8OOriWM9BAw9OcEGIqZGmyjgUrses7Aa7dSkgFdoirOfAfBeZ18S6GrPHCYdRGUeH69VYH6JzwSuLRwqcX0fWJfDm7kCuntyUNxm9gupTKhyPmWGoxEPFYg20CuUcOM+Ru7sDpxw5lWTgrmMKmpN+e1hIsXI8roQohNSURVDh4WFkWRJ3y2C6Lj0tS9ezYyxcjyuHpAydEJulHHkeHwZlY+W4sew6Lf8Q1Okfw0wKldvjQgiNmCo5B5Y1UOYjs4/c+ZHZBe5bpAaPD45hEI6jKFg8NOLYkORYJLJK4G2ZOEnkjQyciTxK0JRP7xlHiBGuR2WjpCSUEMguMLvAQuTBRWYXORFYvTrWLjjSoI54HNwWFSrBU0JgJlCc2zQkevCiB180BfZSaFY2pkTNUIuQVyhZaKXhayO0xrU0hla5doWhVY5SCLWRWqVlkCLMq6MWYVnVo3cF4lIYzo1BGlOrDK2SaiNUbbtq3gVSBNeEWPU6SRqHVkjSGOyzUoRa2fR8HoqmcJa2V315OSi74tOjMhdvh7zpwyxVA0mv18S5BH5+jvzv3/U7cF4ZNsdYlAkbNNDRxFG82rbVWAY9vUTfUWOj2DIRbJwbO4igK4EyB3auCzhjJ/XaUPrvvTgj27kXfoQxmb/Sjg6sfLnb/Eo4Pve5z/FTP/VTfMd3fAd/+S//Zf6D/+A/+MjfHx8fP9E1vizVFv7hP/yH/J7f83s+aVP/Ch+/1AR173zkMi79hc74Qn/by6r0yHMXQFLE/GlVhp7b1asGPEuVZ0PlxWFmtGheTI1h3Kl/tThadQxz1fzeU49SK4gQXdiUiLtw0LOkLICXh4UpVZ5dLeqkHStxBJ/UsEFgWCu1QHpsjEsgPDSGnJTy5iNj9czeb8yDaHToYyw8H1eupszVITNdVdIgxKPgO6W1QcsazRpOjXiuDOeC840pR0Bp0cntObtjaByD8Cx1WvTCNBSubzJxENJRcAF8cLQKUhppzpS14O8by6JR5HMJNBmsNNz+jHoU+eW4ckiFFzdKZ756VggjxGPAGwVWqtI+w0OjrA335sy0BMTBlAPeDUwmNNaf+21S+vWrw8JhLDy/mRkOwnTTiAePH42O7NTIbBnCfSOdV8LbRjoX4rkRXGIsgcF7y43VsX+WlMXwalq4uspcHzPTbSMeIF4lbTs6pSavGlFOj5VwvzA+FngQpjUCI0v1PJqjF5xSAG9S5XZcuBkz17cr41QYXzj8GAjXyQx4h2QhrA33oNHw4hbSXFjFKxNBhk1Yq4vMPRsyx1i5vZo5jIXDy0o8QHqe8IPDTWHbEdq5ElZBkhDnQpaZtEYqjrEEgoubcXowkbnrYeUwFKZjZjg2dcKv1Nlj8Ljg1ZmpAr7ALAy5IsFxVRbE68WTb1otAo2YPhsyUyxcXS2Mx0p6JsTbgL/x+KvUy6QozfGckVCRpRGrsg+mppHh5mAsgSxqchxiZUxKWR8PlXglSi/XGpy9jInO3GDr1KHic0HWxrBUEOHaxnwo1fpfGVNlHAtpqPhkgBJijm2DUjdpcNesZrt3uOTwkyPWxnSViUkjqog6IcNQmaZCOgh+wqjwQC62yJ32pXQtsGT9W2u46PCjV9BlbLgh63vpII6NMIFLDued9m/N8HiGNStgAJZEnpG1wOMCa9H1YPTEZ+pEhVXfXxdsPEetusJS4O0DnBcFNoLHxWgy6gU3L9rfaqKPx4hPXkEc66gbDIhyovf34R08nHH3ZwgBidGitQ1yhpxxp1nbPCbcEPDTsFOtgkXeHdqnz30IH97DL74B73EhsiFqtUBZUcu/4o4DMkT87VEVwmu1RVefr9ydYC4Q75EQd29WBJGCqxUper8uBXh+wNVpc5B1j1DWg6wVebsi/qT3abucZWLjpOgYi+CGAM8mDQybA2wPD3KjPsxIc7Rq7TjLIHaCd1UNbacekbuKbKrlIvtXFcpDpRXIS9go0s6JRvNDw3tNeXFBFHBwtguYDL00TS0ps6fMgTV7WvXGABNjFQhprLgEftR9ZwvlNmPBFEd+cOTFcz5FavWU6ojGMjuMhZAs7SMpS6LbBlKAJpTFURfP3duBdQ2c5ogYrT/FxiEVploYW8FF3QM7f16qplcsj5HTaeDt48jjGplzMExFuG2BsRR8bKTW8KnSCYY1KzvwTZs4M/C5dMU5RR5J4DWVYxwbw9iYjpUwNsKVINEcWgnMa+KxDtwtI48MnCRRnDrDMQouOaaxKogy6ZorgyP7QMFzKgOrRB7ayOICiws07xG7vkuOkETHL+m1a/AUp6KkVZRl11MHeq56sMi7Mg+U2YETAx40BaJlp4ByQUGcrI5sbEKSyiSVkcJEZqASm4bDXdXXUQqs2anjW1BnvDYGKoM0xlIYcmU8FVxrUND5l6FktQNyFihi120cpTC2ysE1hlpJrarzXYSS9TV/vCjV2p/zwdish6gsjZ5C2suOzjVYuV9n1T+6rWqCmQ4TrezpFrtbLOJYNv2JXcS3iZYOl83K6kubrhLR2Bqhi0paNYTOnBXR+aeClhr06VWMptD1Jdqmq3Ud2ya0rNoebWO7dmbIM4RD9IhrPBsqz4bC7ZAZY2VslTErO7eIaPUTlB0klhKME2oPBEp/5XdhWidW4UJ28dRLXbR3/YaulrZLoXd4wtmLXPnq8Wv3+PN//s/zP/6P/yN/+A//Yf7Mn/kz/PE//se/rO1/YvDgR3/0R/mP/+P/mMfHR37/7//9pJS+HP36V+roUYMv/HfYP/BU6+CLnPWxTT5ZHNy+CG8MBCurc3GlTWBmMEfw1ZB5eZg1onC7EsZGPIpGWJxGBVpxHB405zDRmHPEmQ5CdJ154DZ17BdDYQqFTx1mxrFw+3wmXAnpBvxBacBdHUfOFclCedPI56Cb5DwyoHl3J4sCVOn088ZtKhxT5sVh5nC1crzOpOcQj+CugtGBnRlXlXYW2kNlugscQyAgHHwCUXXt5AJdMGYyxfFn48rNkHl+fWacCodXFT+hucDBBrEoUt0eG21uDL6wngPSHOc1UsWzVFXY7U/9NhWOsfGpSXPAXz47MRwb46fBHQL+xqJiUR1NqjC8XWnnxuhXllMkVDgsAwHHyRTq+7N9ljJTrHzqeGY6FJ69mgk3jvgi4K8j7hAtagesFcmV8fVCfRAmvzKmgRHdZKdVAYSuyp1843nKXI0rr67OHJ9nDs8y8VXUaOjtoG33+mZzpp0LcrcyvhbyGwgIV+eEM0MiWT63prsUbmLh+bRyM63cPFsYrhrxvYibgkYOe3Ll2pC1EO4y7bHh2sIaPTUHphxppg6/BG/Mg8bzYeWYCs+vZ8ZDZfqUEI4e/2pUh2Pa16NwWpG14sNMfRRcbkzniBTP5CPR7aXgOnhwO2oe+uE6E68gPve4o/U7RX2upUJV49vN6qD6kJFs763AaGr7XTTsZlz0/bxaSdfC8Bz8bcDfJrgaYYhK4W7GDY4Ov1RCa6S1MdWCNxXnHFQTwTnRfOlUORxWhqPSmf1BwQM3KnjgkoYYpeqC4ErFF4FSGdZGQAVJSg4cijrYwTdibAxTIQ4Nly6WPAMOJFd10kFp+8pfhuAII7gGh5ypqyPFauABhEH1EuIB/GhzwTlYC1LN4e8XK1VDRktW0CYCkyPdNGIR0mROulMQwiXwg/ZDsgKo4s+46CEtKPghyJJhzlYLTZW03BQIlwpxthj3tUhqw80rfGjKW2/uLfLqL8ZG1Ho0EMYdEu5gliPuqWIYAsuqX/ZPnIHJfv9y3u8/Hwfrk9/HyBx9SkNOswIHRdMotlp6ztkYaBqDOwyaznAccTHANGprs4Ii8uZBgZL7GVnvtO1V0wLAMIQxIEPAHROMCaaEu54gBlwIet0lI3NGPn+HnArtblVacFaHlYaCKRFd20Z71wZlF7jglVlQKlIb8uaMrJX62YU2w3qnzC6pDh8bLqDA0gDhecSNXtu7WO8pjfaQkbmQ32+URzjdeaWgV2WMxdhIV41wBe6lshTazUBLgRYDRTx1reQZ8qNwWhInSTy0iZmoBn6ANFbCJAy3Vfe1G08bA3UIVCyP39Kfzm88pzpwdz6wusBKIEQFLsajOc03lTZ6OIadot0ste+segx384FFAicSzdgULkKKQpgafhA4OAMP7P0tQjOW2VpUoyO3LmIr274avYIQPjRdFxwKghXwWchnj2SYF78506Ep2DBJ4egKR78yucIhrEQ0Yu1Ko86eujjOczTMzEEFXxqHUki5Ms4rE4WbOKtj7YoCuRny2VNXx8McqdlRzAmPtXGgcHSZG79y9IXrOJOkEqXiGqyz6u48rANr9Sytg0mXop+ZFCqHpMzF4EXTYZpnyZHclLlVLXUClBEVvTB4FcZNoRFDxTtNO2mtO71qZ/SKKH056BVAtHTgLqrbtRY64NVB8Ke25R5XlQuRQxVt1TXyOsoGGjgDunv52d4HTYVwtscLx1A5RouPv2Mq9zHb+2Z9cZqCEV3jmd81FNTp1xTIU1E9qLlpMKuiDkuydEKtdLNq+mOsW/vnrNoob1Ys9VT71CuPDF77PBn7JPmmzFmeHr2EdAqVBAyh0sQx+caLlHmeMi+GzJgKYw2q4eQ9RYRkKQrJ/PjY9N0KIjSnPoW3ETW9Vbyzso/0573DqQYLGugp2yA7HE78ljLcf9ef1VfyIfIrUG3hK2jQvu7rvo6f+Imf4I/8kT/CD/zAD/BP/+k/5Ud+5EcIIXxZ2v/E4ME3fdM3ISL8tb/21wgh8OrVK96ttvCLv/iLn/QyX6GHWrmXUICmL+xIqzf7ctM8eLIwiG0Ae3t3JdLwPDRPCo3jYyEGISWxvHulBIpAXj217kJvjyVa2Sa/KehKU6q4zypel8UxzI23y0hMYvnZ4MOOl9Si18iLo2TPPEdV3s6Rc1Wl6iy6mWS3l/PR0l6BcR2ZHivDm0ZMQhisba/gQa17wGxZAusaeFgiaw3c52jqyTvzoGJCPCi9/qFGjbw8VELUfE/NWbQFqULJjlrgfFL19btZjYj7HIw677fN8qEEFf+RA8My8roMxCiMHwghag4t3m2CjxoVGmkVlpOO0aMZK6pO7rca5DqkkVMNrOJI58rxfCAOkCbBJ83xc5aP2GpQquo8UrO2v6yBeY1KnbcogebVCbkFmsBjDTyWyDBXxteN4bMQEvjBq2NgkbFWPK0M1HUiz468OM6LpnicSzTFbk9Piy0SWZvn1DzjPHJYDqQkxF/Q6E8YelROKbZSB+rSaEVYTybINSeyldHrZbKq0/xMWUYeSuLx/UhMjfGuERLEyVukeF+LpAxIFcp5oBVhOXlK8ZyXZCWhetksjX6EKmQ5EufGYZ0IEdJnwSeHT9a2cyD6YCWrSFs9i0beFk+2Me85uw5wTSgyEdfGQx4Ib4X0oeAHr2yJqPmparAJbY1IDdQ5afuLpo+0ohUC2oUxl5vHF+ExJ8KDEF5ruy7pFwGcNwfblKZcidr3nFSsLutzltbLbJnZuQBnwd2jkbux07SDzu8o9k4ITgTfwNWAaw6XwxYZk6bR/I2KuQInwb11EB3yswGx3FYxI6zfoaahC0FMPFY8TkzzCmGbeJjBiqP5gDiv1F8HzVfENejRK9dwreJaI7iKd40YCs5rvnmPGmNrVmuWS10drXmrsOEp0hDncEZ3VcHOQoyVNKjuibP0IndBJ5OiX2XRiOWyJFPCN6o0xhIKwpAKQ6wMV02jtdcenxxtjDQcrWqksiyao5sXz2keVCgwRwqeIspqCVFFI9PU8DeOeHTITUTGgEye5hy1TJR11Pc9e8qKCfwFFvFkp6BlC5aDH1TMUIKxcmKkpYB4T3We6ho1QnFVBUwXR26BLIGKozqPi9CCJ46CJIebHJI8bdBi7tXv60BbVcMnL97KyOo4FOd3in9oeK96BUrxZ6fz2XosRedlXZR9VqrfnnfXZImukpw5fE4djoAQaPgm+FzxWWBpyAKyAEURydAaQRqDK/plqX5DsEoKRSPLoTZkabhV8EU45pUhF5wxGxJKzT6+XYm+MiUVJIwDxFbV0csNnyvt5GAW1lOgZV0zfKvahmscXGEKmSlk0qDMCudtjluAYT0H1hL0mVtU2JlNMgYVSu6aPiHtKWitgDTHsiprYm49gs92fnSqaxC9RvBVt6cv1qgGThcQRKsUdVPHA15Uvd5z4SZfnN8/Wy3/XIKlqQR0bbIvCshq66eoYe3svg5T1rJTEbCIu+trTHZbP3vlin7RIVUmX3g2nJWlEtnnW9H0wlYUoMp1T4lwTvUbvM+8GOt+br+XRc+bl0htnrkoW66ZSOUYK9OoAHI0XR7MjiuzV3FVSyddS9yqA1yZdtXNcSGlxnClQKv3on3NcD4NrDlwt6qIrJbkVAHZcSgcp5U4CmHoOkOOfPKU7Ll/HFlb4JQj3mkg6+ArUypc3ayk1PCT3mNZHesSeLgbuFsG3iwDj6IAQvAWNJiUhfni1awpM0dbR7NwelOZzyoo3G0p0PTVq5h5Oa5cX61cHTPDoRGiMjSkOub7QCmB85p0/8MxhKog0VDxoXEtC8+uZ15cn3l2ddYAmGlXJN9IJujaS513YXDDD0z7QMxR3e28jUPg3Fai8VLVYD92JsKldKeFEhFjHHylgwiC412A7MvR5lfScX19zd/6W3+LP/pH/yg/+qM/yj/7Z/+M//l//p+/LG1/WdIWvnr88o9L4ODyX/1vrkfR7OfLud0DYj2Y1ICHrBUU3qxBUeGTlWnyzcRvtkqxm3BiNuXaXjs6CxtFr27BscDsVM05+sZpiVYrvV1QvLRf3VHKhhgrrc3bV6elbYE1PHvN5qV6hjVudcSj0+jGlospbCrG2VTQez353JSiVgUrn6XtqziO/v3k1clNrjE91s3I7yh+VyxWxWN1WIsoG6C0XtO5U/PUqG/iCQ0WiyzfL0nVot/UTdUYc4DExrWP/bp9d1vZL2Gvd+3QGsfedV0KYTzpmKSNXrdHFboCbZZen95bPW2/paK0J7NOWFskVuGxBNJZx2MwVeVgAk17GUu3CUjli7ar9DJNvZJGrwmtz/5UgpYMPfe8yWbiUWIBWNmiIL0tBSE6uNSpo5fRCx2vUGQzSoY7E7HyKhLWHXAuojHVjIJsBlCvB18vvnR8xBTZhTT3OuV76cp3oyzd0a7mdFRz/Pozv9zEl6rP9GFN2t4b2ZTBu/p2rw3frMZ1bf4j7XzkqMaIWdKu7N3XkW5kWERl+4OPGpF0DnHQuhx0cIh3NKfq3QVPJtCcARYLyArM1q+wn4c3mYJgXz36b3lWEqA5R8OcVJxGXp1epzqvDqVTx0EMfHNBFHQKok6A0a1dFO1rsDnkvNUNV+Gz4tSQrM5TlFuhffE94ioGgIAE8EkNXDc4xPqt5HddF5qo0V+bZ0WN8EKgmVMqwWmpv6TR75CsrGFPcO2RI2dASlNnTaoyPmrTCGaPEPb5EEOz/GoT1RydjkOA0MRYJA2XG6zglkZZApK1vB9F8+GDaM794AsHnxnHwpgK4eCIQRQgE8GHivMNVws4FQ7LLZjT45HanbjG8ZwZYmEYFsIojGMlTI4QlOrtBPxcYG7Im0pZPOVBnYuaNTItAhOF6Co3w0yKjaOl3sXJ8q09hNxwudLeNtriWN9EyqoVDFxV8dXBqRDuYcjE2DhcrYSkaXDOo9ZP1fEvs6OtjvNj2ioAXKr3a2nPyhCrsgdSI076TLv93h30OnvWHPQ5in8CQHQxxGSpOz39p6f8qePulTyyBhMLvNBMsihtjG0Dt7Z5ZUcXNKxFGRit+X3N9L0NWwcswsyqILtctCFNhSkPsXCYChdxDVuEdDGWZuvd6vc/2Q9DrJAqV2E10Kz/TSzNRFkS0pyJRl4ETswGOERlNvggF+CERunL6rViTI4mGOm2EptDVNHccar42IjDDk7U7AzgjRrgyOqM95SYIVRSrBwOmTg2c8R17Gp2SHEsj4GSNT2iNsdSghGChDGpFtTxJhOHRjjI9q6XxZNPnvkcWZbEXHQtAd1XUqoMg1bbCIMQp7aN63ofKIuHemAp+97VxJEsheJqXLXSym1VVgkGBN15zrPNbwNmOngQTVT7+dXCMFWmF6al4aGcHfXsoOp86qVtqzhCqAxeq7E8v55J14142NBb5teBdQ4si7I/Kq6TvfBeGGPl6iozHgrRCrXVGdbHQFi1pOUpJ05OaJhorQEWV4eVmxcL4eAIN16B76VBBlcVwIVdbyA6Le36fFq4vVm4vl2J1+CS0BYFZlgTM9CWYbNzklXjGg2U8UE4jpnjIXOcMrX0CieyCSL3r848dP1733KdgQQXbA0n+rvL8PcOILy773/0N7vncPmZrx6/1o8QAj/6oz/Kb/gNv4E/8Sf+BN/2bd/G1dXVJ273E4MHf+kv/aVP3Ikv5/FTP/VT/OAP/iA//uM/TimFz3zmM/zwD/8w/+6/++/+qvbrS0tleOcct9nh+wJjfxMRKmJ5YsJnz4HXNfBPXMI/FooutUxeBedi2EvvbGkWjm03VyDCPb240wVNgGClCb2tcr1uMRcM3UujoblOiYNGL6ejzsnlZTRSt7ftsYilCFRzeDbOnFK8ZGt3d9SaN8cnfNRRw7vdGdsWddkWarelhnVgxVgXDmpUB7BF7UPHdC/HSBC9Dztnc+a9DqD0GxT9WeiO2t6OXPzbuX1Q+/hs9OaL8ZPuGLsdm5buBFq7rc+7CwRK2H/eHtjuYSL92Tq2z4p72v72ZR8UB75Hiq3zzcb+4jafTmK3/0163y48culz88lYXTigFzvx1r8+V/zeJk6dT7F538/f2rAUFPH9ufd56i4ixOpEbu9Np/d2Z7GP3SVlfTu+0Hv/8TCAu/j+LkCxfeaXYRe8e4qjMwQMYLCf+2d9U6V0XzVK4gzxc03UsRTRz4BGXtHPOpo6lGLtb59V78gb4ulFxa6cfUfYf9f2fgVR1fYgQihCyBrFdQixte0+HLL3uQmhCcH66xq4etGfJgSESCPSSGLlVMX6juBEy2V6S9j3vU/V7qWx9TWYUF1o2p53KvYVnQKUW1TWs4FwT6aByBbRdN0pc2ogdkfvElxysUfR93VcUNaU6+Nr49Iv1YGNvmZ3wNS7tr3O27tl8VyxZ+bqzirB6O3bO9W7cPEsd/p0oMmF8yvNnrM6vy5gNdYcMurEdv2aa0NmaK/VAS5N22ri0MGCwSm4cT0uuCMwuj0Nqo/p2pAKdXYsp8Dd22jK9t7AayEFLb06XRV8zLgrb9UWOh1NYBVk1VS89RR5+7anUhnA6JVNMKbC4bYQpow7BtXc6AyopSBZqA9CXgLnN4G1RmU62Ds5dbDjtuAnh78Jyu4ZvI5N05Q9WRrra0eePaezlmoszZNCZQiV6SqTrhrxhWqOuOth30vXipxWyh3Ue3h8GFiNvQdWUjNVrm5XwrUjPg+4Y9y1OprQ7hbaubF8trHOgfvHaau0NEZlyNy8WEiHRvp0Up2Qq4GueVHvC+0uc/ogsjx47s5axlREHbZnh4V0LFy9yoTbiL9JqqPhHfK40ubG8vOF+RS4P4/MJfKYI0NoDL7yalKn9PgNEI6B8HLSidqE9phpb1ceP9eQ13A6aRncKo7oG68OM2EUjp8uxBeJ8PKAmzQ9UB4W5FzwP7MyPwjrgwYk7taB0dIRbm4ax+vM4dcHwk3CvzzQU7HSfSZ9fqF9TlhX4VwCp5ysQkblRaqMN5XDN0C4HfDPx23M4+dn6n1l/v8V6qMJHFo1iTEWLdH6qnL1spG+9qhaN4CsjfjZM+51YzkXHkq0QIsJJ4fKYSpcfV1leOaIX/dM9Vu8I76eqW8WzkXIa2VpnnMNBgD0+V45foMQPnUgPB8R0xDxP38i3jUOp6LsPgPjqyhoNgyF8T3H8DwRPnUA74jnQnhbcX5m+SDwMFdC9rpuGIB6fb1wfN4Yfv0Bf51wzw7IeSWcVsa8Ii3j3oqVvtT02NE3rg6Zl69OHL4+MH7tAXc9aFnXNzP1sZLPZWM5Zisl2dMi0lVjuqqEm8Dw0nF4rEwvG/MHCrJpoKsDCFpdITi1hfv3nnrsnAmXdtOLDhSICSZ+HICwSym+u697PI325Lz+t69UwURbCr/sbX6lHj/wAz/AN37jN/I93/M9zPPMf/Kf/CefqL1PDB78Usc/+kf/iH/n3/l3fqUvA8DP/MzP8Lt/9+/md/2u38U//sf/mKurK37oh36I7/iO7+AnfuIn+MxnPvMvpR9fzsP8nSeLC5i9iShVFhW6+ef/j9/A//uHfh/P/4//r0arBKLrufO7k/7Ef+uNWauXDoZ7kgD0FNX8uM+J7GDD9ovL5m1pcxfXU49rIzBzoSv7BIG9PMSS2/bgx36drZzVO/2/7P3lMnrZ38tzNwXsi+W4j7nrF+73ItYnnBrPF+hFb9OJOWBdnMvO3fx0aXt7BjQ42e/BGTW+OxpbJ9s2CPtF7frOPm9urjlYF+PS/95vsNMd+t+tpjj9nrfP60nqiGl/t7Zd75fs/bi4V7eNnz2Li75sGEl3pux7Hz+6Y+m6o8LmzG79gs358L3dtv/eXTjK7uL6/ZyuVN7/HrpzbU6N7+eao+t56vTu492fxrvvwNNj4xxdgAT95x652PxDtz/+fZ4+NRf2tnZ68bvAY2c0fOR9fueVu3xN5eKDPTV6759sEbfL9aUHUfrrcNn3jXnER/sajHkRvDrxydKtwkX725S1V6CDiLJ38yOgZAcNe6m1ns+7G3tikTirrS5slNdtml7cZ/Q7y8U71YXoTn53zpsozTgXY490ZlBzhm7tY5dMzTwljU7HWHFWJrXfkwgajc4aJS0X7JkuFNbvLUWl26axEWIjjAY4pP2BSEVTYbIyAHJWVomyHvQz3uu9xtRIQyUOQhibahN0kb0GYmKt9axR6LIElhwoZY8oh6ARwXHQUoZxaoSDU8pyUH0HFZVVB7uujnz2rGtgtnSO2pwKpXnhMAopwXDMKk57owKdRL9Zl/W+UVfIJ40yn07azlrDpqh+HGEcClOqqr/xHHX6B51gXQenPjbWs97T6ay51V3L5JAK01gYUiGMwnDdCM+Dpfd4fVcfHe0syKzVE9Y1clqTChGi0diApVmMQrhyxJceN3ncIalmTmlUCs2DvHZbX0rTezrEggyO8brgk+wiry928EDOGYmFtjTqg7DmwLxEzqZXw4jOvSCEg1etl5tBy3M2oDWaK7Qg5PeFhqYorFXLG/Z1xkUIk5hWTNTqJK3BqmyCWsG9VctjKXFL1RnFcSuLalZcCf6ZJ7xMqssRPPK20U6V+mHBr97uXfPkReomYR+iEG8C8Tbg3rP8xNrwA7SWCW8UEMui7MXSPEOwSigB4lEIt4HwaoCD6ujIIMjJEd9fCIu+e7mqw+miri8uiDIObhPhWcJ96qjr4ZL1nTkt+EFBwSLKnoxOwU9NARHijcM/i7hX07Y3xSXjpKlgpG8UY4v2QE3wQpy0GpB/Maj+iENFTk8zcdZ3ENhS9LZ5FxrpGhXufXWwEqOq+OdqJgzKwKm2PnbmQvCaWhpvtKKPf3XQfbQ04sNMq5rio6DBznzECSEIfnKEK497NmqwYfQEWRkOjTQo+7Tvfc7mVRy0HKq/GXVePjsoCBkgTJmYdCPua25nC6bYVEj4NhFeDHAz4WJAmj7zEDMEZYZmK9XZ9wKfNM0rXCsYFyaIkzwFdq1//bt71+7uYKvwZK+EHUzYF/un+7Z9iq6FsIsHQ9YAAQAASURBVFvrttFefvDJOV89fq0df/SP/lG+8Ru/8SO//0N/6A/xDd/wDfyVv/JX+I2/8Td+omt8YvDgzZs3X/BvP/uzP8vv/b2/l8997nOf9DJf0vFf/Vf/FQ8PD/zlv/yXefnyJQA/8iM/wt/+23+bH/iBH+Dv//2//y+lH1+uoy8cvjvVjouIo1BpFECkcC5w/uef5eb/+X/w6i/8GAc5EIlcuVFLOXq/6Sb0o4lqJuTWqAhZKo1GoSIIzYmVhvREAsE5BheJzpGcJ3gtExme9GtHBEtThDm3RpbGKo1CodKortoiqIIviUDAW/ue5BzJe626ddHv7nhU6W2ruu3alG2xkKlUisubIxEIRAkkEonI4ILVLdYxiX534jSAqG02gbU1qgizZCqNhZXqKpl1w4MDkSCBiZFE4OAj0XumYKU0/dP+I0IRpdOttVFEmGslU1nIOkaubu0PoqNzcInoPKP3RK8VH0JHs93F2IOOSxOWamPfmrVdyS5vkIjHM8ig/XaJ5FUMcvCawxwvNj8uxr40yGLXaJUszcaokl2x+etIEhlIjD4wuMAxat8PoVd72J3nPm9yUyPjXLT9x1oo1n6jUV1TLF0Ck4tEF7gKgeQ9h+iIDsbevtv8pK39uWr/z7WxNOFcK4XGKhV9AxoDiYjnOiYG57hOnhTgEBzJq35kZwU16/sK1m9Ym3AqOv6zjU8V67dzTD6SvOM6BsYAx+isHBaWjqL2LxfjsjTHWuFUYS7CXIVzbZpzLzqG/dldJ51/V1FrWI9By31Gc8KhM3dgqap0PRfHqej4nIq+W9mAl+C0HOwx6tdVhFsrIXod1ekdtnKqbGlQc9W64fdZU37uV2Fteg1tV5/VITpuonCM8DyJimHFSvKNQ6hbqkWxNKVTVertm+w5V8fb7KzdHXg5BKy9xjEKL4fM1EW2fGOIdZvXpWne8n1OzDXw/pKYm+f16rba4MlrEYzbpPf8qSFzjIVnQ2Ywkcqt5GtVSva8aHm7N8vIuQTeXwbrbxdQ28uZfmpauE2FV4eVcSwcnu/lRsUc2HLylJPj7mHiPCc+dz5wLoE3OWwU5ENoPEuVV9PM88PCcDMzXDfSp4JGf6ewC88+NuqbwjwHzg+Jzz4cecyJN6tG54NRfT81rprnG0+Ea096Dv75pBNW1d6Qu4V612hz4TwPvH0z8fl54j5HFousP0uFqyHz9bcPHIbC4bYRXg7q6AxJU2XOGVkq7udP1DvH+TTw+jzy2YcjDyVwrp6rWJlC49fdPHJ9zFwdC/HWE7/uoGUbD0kFInPF/eIj7q5SPh95nBP/7O0Npxp4mwMHr4rrX3/zyAvg+lCIzzzx111rO1eDiirOmfr+Gff+mfI6cl4SP/dwxUOO3BcVS/v0mHkpZ64PC/46EL8m4b/2Fq5VdNZVgdcP8GbFv31klcib08TnziNv1kRwKoT3bznhJmaeH1fCiwH/65/BccJdH3Br1ooc/kN4s1B/Fs5L4ucfrpirluJ9MWRelpXjy0wYC/5rrvRZfc1LFZwUgbsTbniNe5zh/YX7ZeDNaeL1qgKzX9MWbqPj1XjGPxvwX38LL2/h9rgJcvr4eeTDGX7mkdw8H84jpxJ4rJFPW4oZ40K4Af91z3G3E/LyFlcbzAt+ugP3BveBQxq8zYmHNdHEcWyZV83DEAgvEu7fuMV97TOYBiQE3Ptv8Pcz8f0Vl9n0jt5fEzfRcyUeCerchfeOuJcTfP2nlElWG3xwr07e+6rXcK6euxxZmufQHF8jCkCF5xH/3hXuG14hVwdkGHBXb+D+hP/FM252JowYeL3GvSRfcoQj+Peu8a8OyNe9p0y2eYHpjjCvuA/0nZir58HS+poXfGyEyeE/dcS9usZ97csNkPcFJJ4IQ8V7YW5+BxCBGCvhJhI+lXBf+1wFS71Hzit+KYRVGSXixVImwTkF49IghJcj/r0Jvv49BWm8w4WoqTI/k4mxsjYV1m6iBXxiaMSjx3/qoM/o089tUa34cyawkIaGnxtLUwZsRRCPlse8GXAvBtx7z1WceVnx8ZH44Zn0IIyWNiCwA6PHpoDQp25wNwd4cYt7OMHwiL9a8FNW5qjovtBFJtMkDC+F+OkD7uuea0ncGHDO4f2MH2fwsLTAuXgea+CmBOrgcaPTakivDloK9yYqKBdkAyf8BqRfMGlx27/Vnr8EExQ00KBED3KpXexxxnR9GnrQc5Vr0AGELxSc+Eo+errOl7vNr4Tj9/ye3/MF//at3/qtfOu3fusnvsYnBg9evHjxRf/+b//b//YnvcSXfPz1v/7X+fZv//YNOADN9/jO7/xO/pv/5r/h85//PO+9996/eMP/KryZH5nTuzsqCM1YCA0x91wu/tup/E+ccMwRFD13parzRzEXquHF4/HqdovHOY84r+Jf5qg65wi98cuo6HYNLq6h4ESRgriGE28Va7smUdN8abSCgpdOwf/oEOyBeAUSCmLQQWWlbA5yoFkp7oCjEUzPVsvhXIyKu2AC2M2o0ym2OQvF+r9Stk9FHFEgWapIBwgcF6kiXERinaM1eWec+j00sj2DLdtNvKoME9ny1q0979wWAXbO8vvsuajQnKV1XLS9mousI+JxoqXLKrItCFvbfo8ICzY+TQV/+lh1QCFLs2sU3egtiusJVAkbfbpHg4NTR7+DEw01gKrr9DHZx0WEpYNbUgl4S6f3ODMUOxjVxzw4ZR33udKzU54CIQpWZBrLBXiAPcfShOAvhLqsXSuTrYaQ6BgVt0fUO3iWm7BUYRUFKAI633stkK691R3e3nZ0O8P4suBSb1sdWmGuzcAWi0ZYdYAS0MgkGt3a2xWijUk1tsyldpyVz2auwtqEtepbEr0+n+QVcLBTN0ZAL50JFlBvUDSJE8GZyCicqzrip6KfjW4XlCrB0aSDWlglFtVV2dJbRHYtCGBtqolxKgqAnIsxRizFJHgsMid71MprbnAyhW1dQxzV2XfTINGa4J61wVoVPJiCqq0PVmoWLGpn1Sg28MCp3kJPlSqmP3IqnlP13F2AByKN6EzjQ/RheC+EQasE+FEnlnhoq7IHmrEO5qKOy1tzXARHjZXBwdqURdBz4t3o8aPdhGjETFaBoOeVqgJsj2vkblUKd/Kq03ITK6VZLlBwyjqYrOxn8JuDTdRBqc2xlsApBx5WFdvFWYaCF8vDV+aC66Urp2jObdMJFnThqU0ju6cSeSw6huAQqRsToadwuMnaORgQETTqjyml16bVeM7F81i8vi9o+63pYueiw41R2zoMWlZSRPvpTVPD2plr4FRUjHOpjWLl5VxwWn5zirjJKtbUptUoooo56vqiuj2nqs5j3dgk+2LgrHIFh2H3SpIJUoqyWxar0HOugWOtej/mqbgUcGNCDuZ4N61WgqUAABb9DlqyGchVtUJwaH/HiEwDHCZVLC5Vq3REo8XjTHRWdYu6ZpA4nXsM0SpwjIilGjHGraSo4LZ3pAkMXazV2RiksJ1PCDqmS9Fx9nsKYzbR23phN5C8MgbGQZ3h1rTvyZvobdui6KU5ilcGD87mzmDXHgcYrCpJihaZt3dO9mh8f4eV5ePt3gfb5JpW6ekbK2znenbnxfVyq0OEIW3MA7b5UzdguV7YXM59zLlBWTguacUnZ3maDR03Z1Fr70XnRAowDqZh4+x+/aZ5sQdwTJvJiVXw0GvKkPrCaNV9PM7tug0d6N7765UplKJeuzWds8nhw86U48k92rxKAVJEks3FGEwUuO8XPSBk4+pRAcpk1xuSVZOyezSvvt+fsjPsfK9pjLqe7N8x7ZBuo15+YXPwI7/7pMelMf/V46vHr8LxicGDH/7hH/7I73LO/N//9//N//K//C/8qT/1pz7pJb6k4+d+7uf44IMP+M2/+Td/5G+/9bf+VkSEf/yP/zH/3r/37/0Lty20X9WXdaP0woZIdlZAoxv+CiGwff+YdtgdWNj3oyLdIc5kCqtbqC5TKXgX8BIYOZAkEix/NYlu8tKt7+7cP3HAnw6ZIMoKsGsIDecUnOgNBTxBuhqtbcLdOb64DzCNA1FDXRVq3QakNCriZHt23gWatA1W6Y6/s0iw0sww4XzdIb1tIDhPEL8zJawHzVWEhpegwm90uEEH+glt2il0IYagi+UaRq9Awt4qNNdoF4q5lfgkD85tY+KMmQF7NQ6rwOEdrSmN0cs+PgDtAjzoM+fJHGF3YpPdh3f7Ruy80lSDCPXiAfc5WDte7jyxp2PQx8JZLqA6pL0cfQc+ELbn3+uWQ3+uzVglBSTQoZ9+7Aj/Pi7xctLYa7xHBWy8Eaq9Ax08iObmb+PitP0OGAS3l81yqIp/EAVs4F2GjII2Cup5Ap4mkb0U096mOst7+90CvszF62BQbcoaWpuCNg5HFE+ULg7ZIxjmjHstldrTr/ure8nsacaKWdvOmgAYCQRnDrPlbPac+XhB+9+ccec6c3jLYikNlqpgyqlUQNkz3nnyJXBgEZzom4qAXTAampW7wt6hIspsOFVhqfCQm/lWCkwNwW3GdY8ORSsxl2LdHlZtDlf9lgKhbTruM6xVmKv6EEUcU3BY8F7761XEMEQVdVNhN4/IDnoUUVr1Y/U8FMcbq8bobdFMXoVuq1gkKnTgAPykxn/zDTezgQe5KhBxXwKvV60o0681eHhmDqB4pdy6McAhaHnH2pTpOjdrT5kXDznwNkfeX5XJMHkFTp+nsIvQRnNODkmj884huUJat2oSWmoucJ8Dr3PgVHQxnHwgharl3pxTzYbBqyN5GCCok+0a5pw5qlHhH4qCLg/F21ztgIvvE1zLQx6UYo73OJc3JE7MGZibjVv2NNG6M/nCYXeJ3Vk/jBCLOpwpbEBLE2e53zpPqsCS/DZGBKOpjAmmAWKEWnFDhFRwQd+R0jyzPUcFD9om6KpO4O40y+GgejjeqaPknb1Xek/nqv1ZLBotmGZLMsf9MEEIWkb1vGqZWQMPsoEhJ2OIdPHkDYkbk47F1RFKgVwU1BgyuD4eHcBQYeTaLhbL7kAfDmAUcUYtYSxOU/rW5liqKdzb8xB2p5RxQA6jjuU0wFw0RSXsArVLdeTgbH6ZExmDOomT0uKlVP13ChCKsd50LelffQ1T4ML6voEH6QI8kE3PqYMHopuROrcxmpOq4IHUZg7urvfT15zqejBG7Llpv2U0nYhm58aAc9n2+j1lQa0a2ctO93OD1811iBD2FIDOaNs0VZ6AHUnfRe/1vlPE+RXnxM7rwLfZHd6umQxkARXKMkDA+4zzlwGTC6c7eHtGVnK6VL1He2/V/uh7pTJwfUCffYo7CJD0/F4qtwfNqmhghP5cOhjVgY7+jGLYDO0uoPzkmTr2dcYAjw2McRpu2ARI7XAX9vCX+9Bn/tR++7V2/Nq986fHD/zAD/BjP/Zj/Nk/+2f5fb/v923//mJH/+wv9/jE4MF//p//51/wb7/39/5e/uJf/Iv8kT/yRz7pZX7J44MPPgDg+fPnH/lb/93777//Bc//3Oc+x+c///knv/vpn/7pL1v/LrDhX3YLG3ppjqBS5p3lIHuaV1r+gYlEJLlAckoTT14dth7NRC7KxzTN60pAIajaOQOVqq6OcyQGIoGDi0Q8o3eErV02B7yjtiL7nhW8Z2gwCExAIapq++Y8eZKkLW0hOU9ynTrvPkKdB3NyvCM2TxIhNq21PTBSaWTCtrB6ApFIEv0++GCpHDomyXcQYX9SwSI63nmqtV/FWfuJTNzYGcHSCgbRsYk2JrtDxha2v1zsnLEGBu9pQfSZiZavLKTtc0kGAp7JBaLz9hzd7phdzK/OxugAQPK643kHkUQWz9F1cZ2etpCIBEYX9Hl21B62iHZ3XvuteIzK7qFFT2rafiVQ2GsrRyIDkdFpOkR3vrvxolUr2NgSHdjy5lMoK8UzSiQxbgCCt/8mNG1hCgpGdJDp44Rvtkix01JKY3SEBs4FCo5VnEFLmrYQnOfK5nh36M133qK8ngt5B2s/ehgFWnLE4BlqJMMGAnkcR69jrZHsfe5ptEOFQZtZl7vzi6Vk6LWjhxQCWcwJco7JeZJ3XCUNMCcLHgmYMb+PQ7XfdQMyOj1H30l1bFb7bHKeITiuIxwiDH6v/V1EFxIdDX3yRdzGmAhOmEwNvg7qqByisn+id5a2IRyCttvfmypaNSQ0v/2uWOUNZ+0egsKneXDkKhyDPV+nbWrahtb27u9HqQHE4co+qas5W8EJyTWujJWQh6dpC1MQniXhKvRqJ6oaX6un5ICve9pCLTutMvnGFBq3qZKcg87KccJNFG6TMBmoAagS/bpBMVrG1Eo6Sts1Eq6svvkyyFYl5Co2rqPWMY9eqxxIBckKFIgvlndekaKTy1npwWOslFZYm1BxDF64jpVDLAxBRQ615GbTPOo+MXO19prtLSoydp0qRXS/ALiOhWOsWw605VipkKDzEKv+vBSk6gOLoTGGynWsgLJRbqKmswyhEnzrixXMWR0a55AlK2sga5+9MU6ONmalwSE2roJSo4NvKvZY0D54p1HRXLWttUIDbxWADqGaoK6yUbQ/qleg4+uMjRH0vmpDlmJMBnU2Bl85hspNVMHOwfoYXLtA3DLEFZdmWFZYM5IrUtURjF6YQgVbJ6ag5SS9zRtK1VSHebVN2drMVf8OW9rRZPnwyfQ8bOGAXGDNsCzaXilILvqzqFMXXSN5t1Xq8d7Ob+znr6uCKGtG1qL3Z55ZNPC0ifbH2QsrRXC56vkx6DlrhlwQTaLfc9q9gZnGjJSG3udadOy8w5WK5Kzt9LQsA1arna97km5QkituWSFEfa6Lpo6Ili4yZpeuMV0wb7t2KTr2y6IBhWXd7lurVHjbSw2A7ft4fy/WAuu6iaBKtvnT9gCEd0+dcqk2b3LRNJfgkVWfN7Vt1Tg2e9LWwCbo+5ttvsSmXnq2/l4w1bwFdzYNrj5Xc9ZnAzZPqp2r1+hBMBVztUBN1TQYspVbyQUpfXxNfLUzB+wutdyvbHORbF9F3wsqm8m92WE2rlJAVrvHnG1TKNoPG5sOYHf9HQfal2pjVM146XpKfPGj200f9/vLv8tH/ibv/M6CT06enP303x93ja+62V/Jx6tXr/iGb/gGDofDk39/saN/9pd7/IoKJv6hP/SH+MEf/MFfyUt85HDuC7/GX+xvf+Ev/AX+5J/8k78SXQLs1RUxtPmXDyCAOW66bZjT7jiEwBAmPnQTz+SWYE7mFMxRDs6imbsjvjkRJrpW2qiuU99I2CPiPaKrDlpvS43/Tmvf6M/dmbKIaRVBVbeTCuZYGkB3IJ2dr0GOp9HdDkr0v3dzukede3tVVP23tkEj7xcOXW9/76elG/juZO/R9e15GdrcpKcuWPsybf1XfQHZwJLt+dg1YKevd1G4yyfv0XxvQaOZ2t9h3xLk6ZLf++cufn4SPXjns84i/FMAISASn0aw35lXl8/BOSuXeOHMXx7ead/BccBbX4eLNmXX8Llgdlw694IyYPt1L/sRnObBi6gegM6ngXePPicuBUFB7RjnoHzkDAsciIICAjyz2t5y8RD7WtH1PHp6hYi2Ke3pmHcb2QGTV0DgEPUd1TF/2vcOLm2sFHPwc4PqunPMR84Zg/b/qlcBsVJwNswbo2J/P5Vp0DUT3imlTi8FGJw6xsmima8IHxEg9Gbc97SKaC/j2hzFOcrF+GnkRvsyeOE2aZ+fpf7ehifvZfQwOLnor1KxSxNlBbgOYmkkyJsT+Sw1rq3dTj3ufY1OHZoptA2U0PKrkeCEtYYtkqX3qjR9YuMVhWfN8zwpG6G0vuYpYDGGxtGc89I8ZPBnE8/yQmtaSq5WHaRjLCSnTlUWx3tjrycPo29MoXI9ZKZYcKJl9soj+Bl8UmeT5rY678k3jinzqdFzGwPPUtwikINvHGPhdsyMQ8FJo2WQx0LLDrdUdcpyQ87qLEenqumvpoWrULlNiSZ9zhWtq54KLghSKu3k8GlWhM9oQ+0xI4vOgSFWrseVrxHHbaysTUvRXafCIWUVFXQNyYKcC3I/45aikeG5IEtF1oZrjmEo3NTM1+SFZ1b2dwqqh3E1ZMZYFNBYKnI3q3M3L+q0lKbtZQUhpqT6DdchcB2tJLBvXA8qdKjtiPZnzQoa1ApzUS2GrHNqSJWXY+ZgQEb0jWcpc5U0h55SkXPD3Z2Qkk2UTeBhRs56negaxyHzsqnGTxffPKaion1FFES5P6tOQC2b089ZwYzgtTLB85RZfeNQA7epcEwKn1NBzivy6HFv7zWS3Bpyf4LTqm2hgMN1KptA6DFWRq9gieQKp0Vzyj2bsyenBZmz5uJbG7pWOKZojKGmz4DzolH86UHPnxc4Lapt0TzOOcag+hNNYLQIOc2eq13f1aoAyP0ZHmdNu6m6bug7Kfa+G2hWQM4ZHmfc3YMuDK3pueesfbF3ZrJrjqEZ8NG0f6cF7k+4YpH0h0d4XJC1QXEb6HMIjcnbfRvoIecVHoNe26EAzuNZ53yJCB240WoAyQuYQy3nFXeaddybWL8X5JxpVZk0QXHIDaxvzemcXxruNO9Gz3lF5oysTdNzpO/psjEvWnUKCM4r7nS21AqPnBedd1Z1R8tPG2jSr5kFmTPuccE9POomYPcgS6E17WS0dXhjqfX5tRSdI8HrGJ0zsjRaYVvXtqM/11X0szHgprPOqfOq91guAhF9bMRRC7S54c8ZTmcFB1NUJs6cN2Clp8wNHQzCQMVs6Vm5ar9zfWK7vNPNjd37hYADkQ6O9EpfO2Rw+d/lWe/+XrbffoFrbGzbr6zjq5oH+/FuEP+LBfW/XMevKHhQa+X29vZX8hLb8erVKwBev379kb91UcdLLYR3j+///u/nD//hP/zkdz/90z/Nd33Xd/2S11ZAthO4LioKfBGwYjv3CWa8/+5S2nBbfFx3WCyvG29RUc+LwXOcPHej55ueJXN4HFdBF8HR7/nJ3X1Q51cjaxrl69Fgt1HTuoGfDIkdPE9Q9h5922jgbu9vN+Y1D1HbVWouW950d7g22rZrJtSn9G3vNCLQqWv7ePQcRfZrmCPTI9qXUXjnLnPKm0X8td+XG1p/Et257ZFODV7pWF3mGW6UQemO8d7vbYO9AD66w9mfuo6DjTcXdMB3NhwdI3nihOu/5Qmwss+rvX97291p359/b9tdPEP93p4AQu+2vV3D5tCeW6jt9785a+vSSfYIYQNutDV3MSg9x7C3Vy/G+N0tsPcv2BzpRsmuMyHbPfZztxKisj/ry/vRt0+2OeOx9A/7HpBNY+JyXDZAZHt/Ptp+/3y4mBv+yXfZ7qlTNfe+6ZjUizzM3uc+ho69MoFqPlyoQNs9uG2eA7LP9e7wy8fOwT3aH8zB79HJ2K/Rx+MiNaevI3X7/m6fd4GpXgUh+Z62sI+5Q51yYacoNzAlbPfkfewG8aUeQ7BI/daul60OuLt470vV93012vRlzmvva7To5BDq03ajGpLOSpDoO6G59leStd2i5dFy8Ru4FgzkGHwzIcdCCBdrXafCO/BJSwIep5WpecZWVaPB2mtF0zoCGq1PviLFkU+mDdAnNGiaVwHJjhAb03XhxXSmiieL3yKLwQmj32uct7OyPNy5YtQdOtIohjYOY+Xm2UK6Ua2EzooYnAIugwm+lRO42nAPRdvyYJsF7QwUGKbKTVyIk7XV3DbnjsNKio26qAHemkZMXazqbDWhPWod9xAr0yR8ihOlKb0/WNrNccikWJFVKI8gv2C0/pRtwVd1/3aG4CvTBK84keteqnEMlWkomtZ1hvJacHnGDRkXnIKT50I7N1rWkoBXxxWfGtdl3fa447QypEqbhXpX4RdOuHGF6bxFctvrlXZqeO8Yx8rL67MqxFfPFLVqRHAKGrXXC6wVt7QNAZXzirxZkVkd/sOQoUI0AOBqXBlj0fMfK+39E6yCu5t1XGujfXCm3SlDJLjGzZAZW2WKhetBzycL7SS0D864c8bN+lxkKbQPz7S3BckR7xxXBng0cUzRGCWl6RgMs77gY8R5j7w90U6FehJkheQrh+h5PmQOQVk3NCjZ016vuFpxWJpGE9rdjLzOtLNDmmPylZoKQ1PmhHdqRJS7RhhmCG81RScF5O6MnDL1UWiLPscxVG5i4WgMHQoK9H246PxutkAvmfZmob6ttNmDhA2ITL4x+qag4yK0NytOTqrQ1DTaXd9fKG8LZR2o1fpqa3lAgdb6WKlvK+H9Bzgp40GWQnu9Uh8cparG0eDbBra25inZUd8WXFgIn3+rjnzwyOtH5O1KXaBVT3IKdFRji9TmqUuhvcn46XHfaWujvV6od5VaIiJObTksdU4crXraQ6GNDX8wcGfOtNcr+S3ks2NtWr5TGYsKyubZk04wvDlDNrDmYYaHmXpqlEUBEtf3bmcVFFbPehdwH2b88UHnYwzImxPtPtNWoEEKjcnW8M4Ga4uuDbzJyKnYetD2fRireHNh/zSe7qWNjdywpw9ve3H/90cNnR1S+GLHR4GGj4ctvjKOPpZf7ja/enxpx68YeCAi/Lk/9+c+4pD/Sh1f//Vfz8uXL/nJn/zJj/ztn/yTf4Jz7ouWjPz0pz/Npz/96V/m1buXeun+d0fhiwEIF4uEsxdf/GbMvvNJYwHoiuhkp7xPQcGDdXTcj57f+ixaZF24NnrtaIZ+p7h10acqaI6k5XDWhjnKBh6YQ6IUf2Ey0OAQKskQ9+ibOeBPnW8tI6Q5nWvzm7hZBxG6A9cju2qkmkiaawZQNNvMd0ezOyTajuarquqw49xMrKsb/ewOcTRDcQz6fQrNaMo7Ra2PdRc+Ws3wnauzXGhVKM4XCOVGV3eCd25Dqzs4EczJv9Rt6Mt6L5dUhQ0M6ZtN22aQbGPkuXCqLpxOdzFL+k9d9KcahbzfU2dTPIlYv9NeL7/XUfeeaqDn7M+uC1X1a+nvdyfPdbDA2k1WHu9dx3Afl93h7E7bBmaxl+Nz7G277ngim5MfL9u1Odz71MGDvb99s79wFNnBiMvyft2x7ePy9B3t5f38BeixO+e9jB7sYEd0bWtvU2v2u7jf5thuz84ccHmqg9CPbbx7P80QdmDtdvbTtvDsgI/s1+nGjFz8Xdvf+6nU80YIPdfTHPHLeS47IINgQnmX/d3P2/JuL+6735PmAcu2Hn1JRwd4vPXPX/TPgQv7z/T7NTrwxzZn5172q19n+/e77fp+LbtEY6POYuPdFwO5/H5xiCGszkMYNPVgMEf7NqrTKVU/1xZBqqOuzqi9jlYcJXvkdHE9p7XJnXf44AlJSGPhENX53fprFm8rbhufuoCcgVYvbr6Pr97rMFWGY+XarwamXAAhNgaIlnXk1BD5qNmmomfCcCgMrnDjlm2MtrGx+2mrU8P/oVoO8uWHzAmIqk0xTvUj7fTnKFkZzO2cn86N/uwEvG8MB+FlqvszhH2OeZBZKEVwD/P2u21+VUcrCkJcXQmHahFP60PXzWgzynpYT5qnHfc50mYti+m9ZxiEl9fnLXrsg773gQvw4HHF3c8bo6qtDTk32ln7fxwKCWU9CJBiJUYFOdpDob1fcae150whTWhvMu2sLJvghOthVUeyOcahMMQKWahnIXxwwj14/P1MZ720u0q9q8gacE64joXRaSQ29uh/FupdA2al7yfV8JCHos7cSZ9ZCo2jFBBHMpvENairo75eYYFQyqbR1B4r7a5Q50RrUdM1YmZqXsfOwIN6Jzi34FtGRhUrlMdCmxvlUWirOpdaxSUzWIqNqwYevF5w64pfVOREcqPdV8rbSlsiYk78MVZL+6iWsiTUNxlfGq4ogCVNqB9k6oNQ1pHWvNoaPQXR6frazo32puDHR6XBeYcsjfpmpT5Eah1woiwyezW1PGvx1Luia/rNXad+Iq8X2tuFugwK3DlhCI0m+nOtnjoL9W2BdCJUTVuQKtQ3C+0eahkUPPBtB/vFgPDHQosFlx7Ag5wL9W1jvXOsZ9WK0T2/s0AdZfaUx4q8OWu6QqvIaYXHlXoS6qLrQk/181jwavUs94HwOhPHrCyLGJC7BXnU+U5VJgoCLuo4OQdtgXoSfMgKHDw26rlhas07QCDdNrrc/8ymM6bBZoNdLENbSsLHLE0fBQY+euy6Z5f//hL3yq8eXz3+BY9PDB585jOf+djf/9zP/Ry/+Iu/yG//7b/9I5/5B//gH3zSy37s8e//+/8+f/Wv/lU+/PDDjWVQa+Vv/s2/ybd927f98iotfOyxv5KXDIEvfPT4+uVnN/m7L9iC2W26BAhc1nR3dqaKuO3iO4//5jN+7vd9I4OJeN35qrmesW1R4GY1vLPVVJ5LpFSYm4pi5dopwOaMiDr1wQtXvlr+biEFLXfmg0bOXDBqsRmIuXhq9cx5r/+8VAUOcneG0IU9OQUMxqDo++Q1nzWGxmClepwXRZib0rVLdaw1kGvgXLTvpxI0VbDu4IGq8nfQAI6+GO3X8kyDRsGCa/RIbGtWaq1Giqmkl+Z5rM7AiX2RT0AUjTwNCFexKg3SqMraf3PiBJwItXikwZwTpTrtf3XM5UK0ybzOwaka+9EAm6MvjL6S7BlEX80Z1VxAmtvGvtdZX6uCOLk51rq37dH2kxeOvjJ4pasekkYtx1jMGdW8RameVqEWz1p07E/W91ZVpPFsud616byZvFJBJ6/U2MEidNE3UtqjtWJU75wDpXrOOZJb4DFHfbYXgnYdjDkEVeO/imWjMcfQGEelD4e4b6atqPr8stgzXZPW57ZazpfMmOi1IsIhVKM1a4TzMGVibERz4pzT3E/phmr1zHPUOZmTznvxW/R1FwPUfl+nTEqFw1iIg7brB1FBKHunW1bnMJ89JXuWJbHY2HehNwVqxJg7jUPSSPE0FsLUCEkIkzog3TGkqoHXFtG+L551DZQcWEvYwJqNPWJrwJAKw1AZrqrW/j46E6Ha4VIxelFbRA3h2VGzY12i6gGYjoFzaH3xWIlT0/aunAr8TSoK594VEGkN1oYUoc0NKeo8SoNWbS10go/go+AP4JPDHzXnw01hV/juK2223NyuA5AtN9goUiJo1NIEtzA1fRdU7A9vIlydRmHtutY97mYR10rPnQV6ftFFTo/DEJQ9Z8ahTl/vrrO+XHwXs1q7hkEHExCxvHDZ/q1t9AoFJvxlSuxYRYFN+MQinrKULQK/tXdp5To2gUPXBcWCOi7uYpil51339jaKzoWR2yd+7OOg313YQS2zwE2HQJ/b9rs+CXtbfVw73al3qDMmOrW+2TxoihK4/hl3+ZzsfNehyd4n2fLSKXqPGLbSQaWtL0D0qrGxteMu0FmbK650T/fiefZuDA43gr+yPjg2CrQTvRdna3w9Qz0L3PVcK92HsHc7HoVwLAp0NtOxaLbBVVjvPef7gHilseuDdLgSN8aJ943rm2UDCrt4XFk8NXvOJ303xHtztDwUDzlqKo2Dq2ndaMPOGE5l9dx/MMKd33PHAGpQBsEMtWrqht/Kr5qzVz3zOVJ+IeAjuF+4mIjVIzlSF93Px1iIvrKzzuzaH464e4f/vM5v50BKQJqnnjS9KPmKH0T7YOt7WT0nGcg/p+uQs6y1Vj0te+ocWedIa44xVAORIfhGKZ75McIvqHhnGGUDNfPjSFkd5yVSqmf0leZ0DnqBpQQe3yTq4kgPgo+aFygF1oeB5RyZcwRxTMY8ENB9fBHuPjuS7hrT46x7UIByEuopMD8EcomMXiAo4yk6YamB8JCIv9BI90I8rNswL28jefac10ipYWNKeKeg07JGzh80yqkS71bAURdYToGH1xP3p4G5ho0FW0WFYh9OI41C+OcrYVyI15m2NGQVzq8j51OgNd1vRwPj1+Z4mBPvv73ixmWuHjLpmPFptX0K5lOk5sBgNlVqmoaCwHKKtOzhAU5vIqfXifPbhKuioJnsAov9q4lpC0kPyF1+9ZRXuQAY+s/y1P6//M9d1lJr27/ZZvdTEOEr93BfEOj/JG3+63h8KQKJ7x6/6oKJHydQ2H//Td/0TZ+0+X+h47/4L/4L/sbf+Bt8z/d8D//9f//fczwe+aEf+iF+9md/lr/6V//qJ2xdsc8v/O8vfMqTT26/22J5X7C9bks8oTe9Y2Nd0uBf/NwbPvP/+inGJCaWJYxJ6X8hmvON6CLWlLJaGrjicM3TSlDKavUUHLVd2rON5oUcPfhGSF6Ve2MhJFMC94BXA76Jo6ye0gLzGrVubg0sxhRYeoRT1BZLJlg0hcZiX7qhN2Lq4IHZqqJibrX6zYk6N3WkHksgi7P2dbx6usIQ9RqHoBtCp0YOoYLXKLiIKudXK3O2lEi2UlqlOU4tqF6TqTk3pzoQ0cEY1eA5Wr7nZGMfYwOv/W/O7f0Xz1wj2fKwszEbsjjKRTzehLUZo6Z0TKESgtGlu8K70xmiVR8cueqzXGtgtTJci+hzzc1tYnxY34Pl9yWLWqUopiJv4+7QEpPSVcuV2lybZ5Gwb5o4VtE+NNfTRC7YJCYGpmCWGD27550bM6D6zUhoTVW8e2qKvgN7DnxnAnSRrhSrUci1/c1Rxgxw0QhLawo81e1ZGLXemALqrypjR1kqhUhVsKxHtsypdoZSSUGprmugVUfOGoXTL1BRQSGIMFJ1rvhMCpUhFmJsaoDGnmJgDkCxvs9CKYE6a1m9Ujy1ul0AS0Rp4U7BvSEWplSIQyVGIYxqDAavn6ULa81Nne8Zshn7OQdQP5dYBU8j0kiuMKbKlDLjsZCGRjw4QgQfjebeKhTBrxWZBZkb7QFkhXwKKiRYtERYRN+/KWaNMI+VdOMIA6SD11JdwXRPEHyuuFJxpwJL1ffK8p5BQUvpa2MQvIEmYQR/aw7/dTJl8IvwehfpmxU4aLNT8GPV9YaGlQdTkMQlhztYGbIrbc+NyXIl/ObIqnhX05ze0pDoVOhuQ2YNHInmdHvrV9gV9T+y0G8bAE93EcFyuKUvlAbktKeOdd88uqMfgyqOR6/fvQEYWHu1as5zaxuYoIDK0/ZcPy96VWoPFnK/3OJygVo1F/yirScbmzdvO3bQQOvNb32CHURaTPhuMef6SS6W/uC609nBiN6Oczs4kovlaDeo3uYTe15Uf079+V4KuHQQxUTjZG3IonngW0K6NwAo9goI/dn7/RmbByELUJ2yAoq+N4g6kM47q57hrMylM0BrW+VMSE4da8lQVv0uXbnX2WMJBrAN4FLbSvEh0FZRxsqj6mwsZ2/7uo0pEILHedF0Fq/Mla0XzQDV4k2/w1sWyYbq4JyBqUHZVmMo21zpLJXWHMs5IidNL+g20MZGsnU6hmbGbN32CBE0Kn6/c5UUGHDbHOlAQwqVeCEyI2YjLaf45HMXE57OpgpBCFRS2IvqtubIS6DmtvUV9H506uoeJCjwkbyBOqjtweqY76BrqIjtu2sO1OYoJWyR/EuWX6me5RSQDHXWvar3Z10jawmq0YIzMVVL+2qeNQdO94k0q7ilMwZMXT1l9eRFQf3gGoNXhl1wotecAydJDHMhpn0clnMiFwWjqzFUlNGogpG5eJZHrwD2WUUZyxqY18DDaeC8xi3Q1LUZijjmVdm10wcrcWi0U6EVh2RYTp51jUgzbStj2xZxLCVwdx50ks+N8ZgJUdlarTryGqjVmeBm2xiTAvq3bjucAsspsJ4CyTRpOjPwMkX0kn2wpQdeLBmXWgf9d7D/7il0sH+Od37LxdlPf/7q8Wvh+FIEEt89ftUFE//O3/k7n7SJL9vx63/9r+d/+9/+N37wB3+Q3/bbfhulFD7zmc/wd//u3+VbvuVbPlHbPQ/JXXJy3/2MGUDOErgFM9Kdf9JO/51uJ3u6grZrdCnnLhaWd5aHDiZcLEq5QjlV/q2/8//hOjaeD4XRN66SOuBDqNtGW0UXwLM5xvc5sjTHnX0/FdUPKCZU5oFDVL2D21gZQ9PvFyrc0RvNEN2oqjjOxjh4zJFzDTyWwGP1zNUxW3qBgKHDqkFwFYVjqByjRpOHzcm/qO8uVhPaGAdnKwk2N8/b7K2O/J7rr/nZGqWevHCbGqMXblJRMCEWy+Pec7U1HcLxWCJL9bzNwcao14DfN4NBA3ZcR2U3PEuV0QvPkjIDuuq5tq8b/WJgxH2OrM1zl7XM1UN1LNXACZszgxeSg5uk/b9JlUNQUbQxPE0b6akJS1Gg5jFHTlYi7rFoKavZSouB2q1TEMYA17FxDPp1FVU5fIplo9QLlopitbzPVlv83sbmoXhKg1N92vdpa1u4TZWxR9y9MMaqc8wJvXb9UgJr9dwXnT9vc2BtjsfiLGWkgxL6TEdv7QbhmVFHj6koCBKavTfmcDfHadUxv8+JpTruStjLhNmcGUx341lSwOP5WBhi42ospGTgRwScAjYbENQcD3ng3CL3JXIWnZeLeA1EenUeptBIEW4GfX+OQyUNGjmLg4EeXsGMPuZzjswtcq7JgLjAjLPqKOqADKERAxxiZYjCNBTS2EipEVJT5yWYP2yMiJI9uQatFV8iiwTOEjWFyWv5BR/UH0xBtvtPScsThgBiUaoaNFe+Dp46OvIxkEtgfqUVVpYSKM5y6nskv7edGj4KcWyQHH4UJHokWfqHU8ZRFY341ab9rs2xSNxSLnQNli2SF6KxJgYDABIbi2A7mjpXklHQoLiNfdTTOTBDsjs73tqLiQuQw/QWWsO3hstNc56XissNWcHXhlRldHVWj4Kk2P17QnCE5PHe6Zdoe74UXKmEOeMNRPHGlPDS8KIssJAgDI4weMIUCSngx4Q3Jzg2wbdKKEVp1fOKXwvufsVnu1ZVsCa0imsQB084DPirgTgE3JgIXiu5hFbxa8avK/5xxs0n/GnFncsuQIM5uz2AnALuELW84mj11r1XsMLE1lgK7V7F6TrLRKoyc/AagSegJeaixx3TXvqtb45LVhG5tytSGu1RmR+tsKUa+FEd8G1eDF7Bgg4wddZFbsh9Ufq5ARZS0LlhrB43dKKB2zjTrrNIROnnnJsptxsL5SJQ6CJ7yot3Sm1zantsDr7ZAbKovdDeiTTq9YHBEZrAIDTz7fe22TQwtnu3tkNy+AbhCPFciQ+Vuiqw2NN34mDv60HfKT+wgVxS9P7qSVMn8lmZPK2X+3SWnhGVFeWijl8HL6Qp46pmT5n99i72w1uqVA+K+CQbw0NZGhq80KonfnPuXF8bvL7HIShj0l8AJyLouc1y8g3E6IPuu2ZKUMDFBwEbE6kmlFrs2nZ+z4vva1MH6Pv863aTGLAgAmsOm0O6nW/rW/QaSEihWYqcN/zK8bgOnFaQk00SmxGuO6/GgBtDI1fdl85V7ai7krRPb7oWjRBRnR+n250yRX0jmH16KpGHEvn8+bBhZdtzMgaPt8Ht6X9dsLa0wP2qL0yxe11NR2QtGmham98YqlVgqZ7Pnw6kpfFmGW0s2wbUrVkDS8XYbYOXLfjwJifuS2CYR1JoHEzs9ND1e1yz/lrFDhvBXD2nfKCK4y4nPn868OrxyIenA6+uzmQTctXUXAsANdVXNAkXqoiRisSYCEJlZyA0UWlDLQDe/7sED9pWfnz7i/t4OOHy6MXLv9KOr2oe7Me/DIHEd49fUcHEX43jt/yW38Lf/Jt/81eodXX3v/jf4XJ3F3pawn5uBw06dOD694vmNwxROkL5dFF+F2PslWPOVcsLjiVQvbOcr2Y0Yd1ga3fuzdk5WzrBuZpjvAkcqsHiHZrDJxCdRmkjltPdHNki+ZfOfW3a/lo1an+2GtJnc16Xi6BTV/av0lmdViFeIAel1u0OrNvAg84I6HWyZ7uH3Nic+w4e1Kb3Iv0eguBdIDldVgMYNV8fwGoaCo9VHUutn723f+4sWfrGpBUCdIwCxUTlhtaodc+j7EbAUlUP4rGo491BlVPRscltD8YVv5cKrAG8CxtIkKs5Hpa2sIEH1St4UALnqu2fiiruz3UPrKnKv6WosBtZgmNozVTmZet7sbFXJonXvpf+fR97UAOxU/c8HhEForJFeJITcvWbo9ef62IaGQ8l2HdPbmjKiOhm3NkkDdWf8A5yUyMnVdlE1VJPt0BrwtfmeTS6/yXosTZY6h7ZKhZAjU71QJITSnGEKrSgDksw9oF0anpp0DyUiquCKw1fPa6qIS6yBywHKx94SFXzZWNhtPJ6Yyxb28AmynbOiaV2QEjn/dyMSWJLxxSEwXWAqWppPFOkHwdjIYU9GlWqRmnmEjlnNQKXGngoCm4V0dVpMGbKMVaOsXAVC1fTypgK00FZE2HoqKZVC1g9yxJZ1sjjklhq4D4nZR5ZPXkFDhuHqNUGDrFwfbUwDJXpthKSqGNnY9EKtBXWk6csntNpYM2BhyVtgnHdyR9DYwyFq0NmGAqHm0IcG+na0jfGvQRkM7G//Ki5rfNDpGTPeYkqJmbvcE+JGYbKeFsJkxBfRGQMcJWQ4JGg2jGtCnVu1NxYHhw1w3zWtI21RjX8vMdPgpsgXHs4ePyzgTZF5HqkxYDEQEWN/JYbLTfKuVKKkM9CrY5STDsleFrytNGRj2b2pxGJEXEjLQRqjKZVIkhoFN9ovlJTowzq9BX2FCHB0byjjRHGQD2MMATqkGg+UJ1V/miNVoW2NkoVahVqp9v3I/S68JiTbwyLzgroEfgmSFEGi6wVqbKVxtvweMcm3qkpNQpCaTUgBelDa7i14GuDueCNaaO55I0ojYA6oclVYoAgQgw9vUiBoGBAkM8VNxfc2mDRdihCFCH6aqlYEGgkS/WJoo6el0aoel2/VC0/KIKrbbuGR0jG8olBz4217sK4hgp0/YVmJemkXVgf9jnXU59qg2aCjRanoJmX1wwwqG5nUvR2zGEUJ/jQkCDK1Ojte3WYm8Mi2JdonFomW3KmE3BuCzDsWiQgbhec222bj+Z/d62WS9aBGGDQLgwnu4KxyHaGI+J4ooWBnudkvwa2/lfxZsf4jQGh13SGbCjwos2p4eZgu2a11Mq6pZXt9+adgFHht4oH/V7t3M4GaMZc6wo7/fF4dzEyF6BHk87Q6Fo7bnuWXftmJx0aaI8CyU0g57CNuacLzqruVPJtD+LYUPY9u4g3m8Zt4qig2gG9GoW+p23T9dFx1j2oiTEMWxerNTDh4r472xDcRbqeIzpdw7Zn2pkKNk7R67qRRe2IWQJzDQQnzFaJp8SiqZtRq8B0HR/vNCWhoaDGWgP3a2QuQcH8HLdnVGVnMFaByp628CRdAbissqBOsLn48i6f4N0A4kcTFPa35fKteffnrx5fPb68x78weNBaw1/SB3+Fz/tX++gvby9o+MU+CbZVAbaRIzjnDUCwRAbxG33tCe2pf5enC0gVoTTRMmwF7rInN43iDl6Ym1eRQC87Lc4W13NVhFSdJ3X+FrWxVDSxp0gCa1B6fmmewWtkfPCiJSJNfbyLnHVRNxVKdJtjf6qOk5YDvwAP1HEcvJbOW5vjHIRTcByDJ3lhuhBMVIdd21cGgDMHUP99n7Um+1z3cord0ZybY7RrDF6Yq5ZmG0vYBBX7cpvNcToVdc7ui+oc3Gd1UmcrW9TEytd5/dwQVM9Bx16dzjHsCv39OXbhyFNVx/WhKOPgVGBtYlUddDwHr2Ov/XbMVRiDZ/LqICVzlroB0sRtTuWpOs5VdQh07AVNu9a2vXOMAZJXYGQKgUMQjsVb+ahIrwbQ286CgRMKRPR5cyra76XubSeP9dkxBu3P6D0PMWwlqpwzpWjbbJfqycLm1D8YKPFYFLkvsmk5cSiOwcOcdF6eqs2ZELd0if7+FBO7PG3z3rFWuLf217o//+Qd0TnOSZ/lY0mMQbjK0RzpC0qjzcnl4n3qYMpi49+rdPS06UPUsXko+hyvoop2jb7t5aEMLKtP5ooCcBsIV91WbtoBQ9D5eJU9U4hchcRhGZlMETx6jXphBnI1oGk2JkkHgs51r5Di6GktcBUih5A4hMbVPDGFysHSf5KBEmLvf950TryBEjo22d5d6EFeYQrCcR44hMbN+cAYGlevszpjsZuQSukt1TOXsBlyq4Fk5aJdTTnRd+/qpAyd6zfKSjkMqocRw25wVmOlzGvUnNqs30+Wb9tBtOg1tWoMlasPjDUyqc7GMGS6sOOu36HpJec1WPQqKvBp4IlzGsVT9snCECvHScGY4VDxXtkI6iAqSFCzY5kjuXhOq+Y+501UjG3MpqEypcp4KMQkpGPT6HjUSd4KtKy09HVRavK8RkpVg76319kRKTWG1BgmZceEYRehFFGRxpId6xxYV8+yBqNJuw0I7WlRh6Eo1Tw1TalJsgECtWiUeV0CpWh+d+76LaLjGkwEcxo0bWuYKi46/KCLgwQtH9owRlANnEpkJXKqkYxndUHZL8Gp1kaEYWgQNS1AAkj0FOepeBYChcBSRxanDJ3sPcUFpLMMAoSKRsQjluev4Ev1nuq0vZVIdp4sgdwBGO9oISgzyKvuhxgroHnPZXShGTNtczQvHLbuIIaLPPp3RUhD12So4GwBcRVca/imoEWSyoCma42uEKXtDJgquIKlfDgNLlSIVZXvE5XUKkkqsVViawSpDFIUJLF0LAwMlAJlcbgq+CakVjmQiU01fQZXGHwlocKO2LXbnZZDXSxNrzRLhbB5q2uXOrBjqDvoYI7v2oIxu9RR7eBDd/Z7BFq1ZHb2o5gd9WTs3c667B/qjEC//2rThXjXodvZBdpWl5btoMQO7Nv5sv9+02qg22yXibH619353gEWrWalz73iyNa/atZEZx8Er9pQHUAANodZ2RI6Wj3Cv61tdj2tULMzGXsqhjr5nSUg9LCa9DmMbELRzvri2cf10h7cmBJO13VvwRQHrM7SHczu7akFB7Mxm2D7bzWGXdfBEpYCreo8mavndY48Vg1uPOTImpVRd67evnRvXpvaormpTadMBKGYzV5ElH0gYuyDzjzY+Qbt4j/VNmjb79nm4lPOwcZSeAK9feUd3b7/crf5lXK01vjrf/2v83/9X/8Xd3d3H/n7937v9/LN3/zNv+z2/4XBg2/+5m/mT/7JP8l3fdd3fUlgQGuNv/E3/gb/5X/5X/KP/tE/+mV18l+lQxkCTxH6X/qkjhBfLt1Pf+6/6UBCxw2fAghPUcl+tka/ZStV6J06cwKE6oleF6YOBBTbhOaqC+piC53S5dWxL0at6puRdxrdXJpuS9EECXXD6OCB9qkr78/mBM5N0xSWy2uYcy9gpYb0zjVtsG96HWDwHwMeqIM/G918MTbDUmVzBC+ZB8E5vOVFx6abbWzdAOhUun3jUjSdzQlfmoIe6tiLtk9HjrvInvYteR3fgEawO02wO+A7eKBR+p4GsVax64hVXdgd3yoKIDTREpz6N928Ne/fCoXaPS9VQQzdyNjGRoEb2cEDewJNtA0dd2fzRKOTT8EDjHnQx9v6boyD0uQCPJAt6tPLLHV2hjo5jtJpjfbZamOjjBgbGwNUlgq16TzvZR87GBacoxg7IzWNpGi6imyvX7b2zybaeTZAaN7mzA7MKYPE2CReK5v0GuhrE0a/GyvdeFPGjuNUPEvT6yxVxyVfvE/eXqrS9Gc1NjVqk73bSgv2FaJHc84Gxp0NkOhzvlfo6O92Mku1vztVHDnoPfdSi7AzkJbWAQNvzBcDD8Q0UYDgHdlbaon4rQLGagyg6HrqzD5fsxlbyoDZWSpZVNDUmVG4+l4u1gQgQUuBNTZB0350B2EugbUFY6dou+XScEVYPAz2Lo1e2SjJN9biLSK1szuKsTB6KtdjCcZs2qNgvfzq5BuDV4d98JVcNH94SE9TcFpT7ZG8iX9quz261reEXllmKZ4hVNbsiaEyzn6jR/cc7mJCqOc1kos6xMXa61ogXQ19Wgpj9BwWp2DEqW5K/ghG6VaAY82BnAPnrGKi2WrBd4M9GsAxxMpwdqSoaTBdnkBE89tL8SyLGtOLpXyViwob3fk4Jm96M5pWEkPbHLtaVCtkzR1wMeHR2iN7e+70YdGI4XRSgCuZSn9/L1XYrxKqJ+RIbJ5YAk4cXvaqKpOx545RU816+U3fgRHpaU8KXOWmjkI1YMm5vSzo6CuTpffFXu3kYp7VpgK2nYHTNVe6JTAEff+Ppvkzmo7LlvuO5rZX60sHALtD2d/x0Zw9Fac10LDvb86zSmSWaN8DxQeyMw0G01QYU8UNkEbT64gaha3Os4imIs3NUpIINOcVBImONQhr8kiIELHzFUQp3pNdsPPsfB+oLtAM/HHRIcFD0HP771vwFB+oTgGgauywLTXBnOdu7/R1plex6WOA2SlGscFVIdSGNyaIb8pcSbUSpSoLpLXtcxQFOqiCr8YqqaIATLVzDTiJrSrg0vSzrtjnrA0vjVD0urFp+4mGr1UBma62Z4uys7ak7GtugO296E42bs/O6oGurfoPPfXSbeV/S+tQA1tlitx60oGmQnaqhu4BT+dyD4p0+03Eq/Cl6H6/2PyMXugpGJvYYNvX8F46vNszvdJY9Kp/M4ZGcFqpQgAnGoTre7Hu05amWJ0BzLpHnwoXugQafBi9NwAh0FAQLIiKaHdwqcoOMPVD0yw0zXK1VNdeNrx/VTHyj3R2wX59nbPd1X9X2+CjDIT9OcpHvu8z++lZH01k+OrxlX4sy8Lv//2/n//1f/1f8d7jnKNWtaNSSnjv+fZv//Z/ueDBd37nd/Ld3/3dvPfee3z3d3833/Ed38Hv/J2/c6tuAPDhhx/yD/7BP+Dv/b2/x//0P/1PfPDBB/xn/9l/9svu5L9aR3dzvzBwIiaLvGsf9OXYbS/yZuKKgQXGQIBuIDSayK7QeuFI9jIvALU1Cp61Ch6NLiv9X53YeuFE9aNTyRdLT3gsulCfijqu57rnZ22AQzPnWJQhUMQxVGEOSj8Pfkf6lW7WHQvNgV+qUv3nIhfggY2FcwwNVo8Zwphz2iP3Fmm2u264raRkBz4eizqwj9mi361teWTBmXPZ9Dp6D+aQO60+5el1hHVB747mbFHjxyzWfiOLsNS2gQfReYLlY6uz6kke1qjRa+2/bPWYL8GJHpU+FXWOz6WRm5BlH5+heXO6L8femU6EggqdedCNgY54zxVzYJUtoQBFsw1LDYuxibE+PEuAJTjmsLMGujECnaa4g0xrg7M901NuFBFWDUNsAEHyalSMQQGf5B1LcATTuTD/wzZU7Xtp+9g8ZNnYHk0Use/Pa7HIQW93bY7oHZONebwA+coGavUxVyDgMWubnXkACtAEr4ZT8rCakTHXQLQovGdnWQvGpmnG8Gj7+7QY4NTZAc7BuXqS03k+eDhFx+iFwfutbKktHwYe6GdXG5elGhjUFFDp+nt9PpyKMj0OwTQtfNgYDV0XrJcHXTsQ1BznovcxV33/c+tRTNX1mIKzLzgGb+wjuRhr2dYYFQDV9k8G1JwsBX5tash6p+/g4LWvYxCuirJIjmvbHLL+GHs507lrkmxpRHuqlc49nb+qddLbiyTrby+/ebkmFgNUe2WPngbWU6ocJrxqz/8YtG/HoMDJeFEWs89lrSzjd8DK2i1tN/eSV/28ycrqXl2U1+35wbpudIpwZ3V5A3l0jEXYnVhrT5+P9m/y9SPvcjbwZ7HvvX9dnLTfc/KyMW460yxdgC+6ZhqwU3d2SQcxxRqLNv8Oodlzb9vc6WO3z/du/HuL3nVRU7byu6PX1IJp69Muorfpy7QOvvWx2+cRtr/pPem7Eu0Ze3PEugPTx36xfW1pT+dGB7iT3+fIZclbrI0qjlWw1Lt9Xdrmg41R3zcG30vz7vtHf3eXuuvAyMXY9Pc1dOabjX1/jzpQm6X3wW1phLCvE2PAGGIWgXZl22NKy9u6pA7SnvYVfO/7vg47AANjGj0X3Mo3215yqVnS34sh7HtEt0d6X/u1+7MobY/R9FLJOrd2sLmvUt0Xz0B2QZkqwSNBQRIV/9wFTbEKLdU7mvcU56jRU70CJtXELyX6LX1J82BU36VGZZ600AEURw1Br9eFOPuDs2uLVwClBL1G8Xq9y2v3OdzlOrzb5+LF9rcDBTZPulfriwIfoQlD0zSZQRqxNoam4IWCJVpppVotb1dMz6Xs4InqshgAs/19B1xSbQw0xlY5tMpAZaqVIPrwpAjLAmUVzmtjMUZmf94HK534Ium8fh6rrpWhbRU+VtMIureU0NergvmdadiDGwDHqGxRtU/03DEItzltjLAOMvSy3cnWmi6wfTeP3K2Juxz+/+29ebxkRXn//6nTfWcGZFXAiFEEh0VBQQFDVAQUd0RUlrCpARcEk6Axaoxr3DVG3ICgRl+KioriRvJTEdCoX5e4RCUoICooQXEBZZl7u895fn9UPVVP1Vn69Ha7b8/zhpk7t/uc2k6dqnqWegq39jPr7enWo5v65Axd/JPX1oScCut1ALuuSWMdyH9VxTqwv+VObkhOYCj9LLBokPe1mWyai8BHPvIR/PSnP8UVV1yBl7/85firv/orHHroobj00kvxnve8B69//eux//77j5XH0MqD1772tXjWs56Ft771rTj33HPxhje8AQCwbt06bL311vjTn/6ElRV7VMv222+Ppz/96Xje856He9zjHmMVdP7hpZb8Hf4zqx3llW2k/w7fJf2WJzj+wxMz6xQBtsLbgalPVnA2sMIAW787WeyOE6yGPHnDW+tX2LXKCTs8MXGk266xaWUGKDK7ROtnBl2C13TnIv1eYZygw+lzHoXfd8+RiEk2jVO3cB7WRdxpql17eI8A5xbGP/vuJ7kBuUN8nKVV+HQMb2ew9WFVECsPAPhF3bITNJddu6w4d7MVKpzXgf3TgUGncJ4HOQtzBksuzcwYYQHgSSRYpZdzcsKgFb77VCCcBewUIHnHb8MoOnAWMbi252jENn0WwDc5bwNruS9c+rmNSe3KaFxfiTffGK81z7jt/SKa24ScgsIKx8tF7vpg4Z9l7vYvZuzj4PqHAdApgDwzfkHIGvmVnON32Ge5nBf2WRS5W/AVtj2dBxC7LLLSrFu4BaxTAPh+X3DAJTivD9veywWhX9i2YT39kku/Y9izwZYVZBUiPbcwdfK99yaxng28tSX0ee7v/C4RwcckyTuuvV263QzouOdJcAHvifs5K4RsuVdyVjCSjzHRdYKkXXA5IcEpgjrGxLFJRLpSEbQpD4seK0Aa9DJ4YYnf8XWZcdtI3D5z8DtqvIcBKzxYSdZ36fJUbdsT3pvIbgWC82igkuLTPkODFbKLNLu9KCzOeIhdMi7twgbA7BfWC2s5Z6FCpgshGFrPDu4jXGceI9a5eBgrhVVQLPutYaEv89jN259YcL3DneLXE+Nx19j0NrgtN8sd44R16yHR4T6GVIC16fIzZHhcW5dlbktISE8qMVkg7jkFT094o/l2dHW2gpxV0LHyoJtlyZgWFBkrBbvtGj9e27rad+n2jlWS2e1BwWLKz4KVWv0CuEMIl5yWj2vYCQrgjrHKZlPzXm7Kg7dX4Tz1+H1ccrLbhoyVmnYGYuUBgY2+TrlJ8O+efK/5WbISr2vYjV7OXfbd8AHVyAoUsj9wP+u4NvfeXxQ8e6wBIAjBUnmQuXJY62zwvmN4fLBH1DrvJQrzHwvb/HyWnPdV5voNifGU27cnFGI8X693XnFBecAeAqywC8+V52zud90sKBalF4FUHoR7C/8s+P6ljOvBsZ/CO8LvZ0689bPvPTy5/l4g94oH5y3Fz5vsu8l9m8T7wlnZOJkGrBqSnqQsxLNihLfiLTnrejcL37GlOhJCYRXH1rMiKEvXZ9wHw3sS+m8Y63swdttNx93YybBufYasY9Bdl8F0bdBW6mQouhl6xqDX6WCTcQoMp9TI3fdFlqHodFCs69rAufyd+0Ndexys/7OU+ReGOlaR0u9kWDEZelmGlSxD3/A7Q3784G2uHWMVSx0g8u4pCDAFkPesMqK3Qij6OXorBSjPkff6XqmxvrAxku5kgHV5ga1RYB1ybIUc64ocGyj3ipWiRzB9wsoK8Oud74xdf/Yb3NrnQNod3Nq34zt7Yvp3229RcIoDrygIioOgLAgbE8KnJH5KZQD5P+nWBSB4KIQ/iwWPI5NOcxH4+te/jtNOOw33ve99AVgj5w477IBjjz0WD3vYw3DYYYfhf/7nf7Bu3bqR8xgpYOIuu+yCs846C294wxvwX//1X/jqV7+K6667DjfffDO222477LLLLjj44IPxkIc8BBs2bBi5cGsHdggDwrQBlE9fCB4LZVeiMHOTCRONH2zEnijvqOQGISAs8pcz463tfSfNdwpxpDli4V5aeIPQw5pRLn9wPzMmc4sEu+C3btZhcgXCRMfpLztXebaA95wgm5NthwxOk++Ek6ITjrvpujx4ApeTvpwIN/VD2ftOkOWB2Qrubo+oC+rUdyvVjrEL+Qx28ciPIQj3VoDd1HfW76JAvyiwifp+GO9SBx03zfcL462eBDvZ9Ui4qyNeeG3qWy+D23tWwNxUFOhRjh6FyaKfd9B1G4KXCgOCteT3OhQWdcmC2U5c5JU2y0WBO/ICvaLACvVRuH5jyCCnDpZMFtxzi+BpItO3fYeFvLA9xKZLuD3P0acCPeQ+7S7snuCCCL0i814ZeWE4XlqFwBUUKvb0BivcbypyN/EW1vMAtuxdY0DUCds6MnYzh7eyA1J5YAWHO/iZ5jl6ROhxnwFhydhnSgQsZXZfpxQYl1yfjIWUkL4VlAuncLLtzqeIZwD6GaFrXNvnQK9r0+TFulyAckyDFd8u8IqgXhHGBsCWtWvYmmzvWZ+baDHJQgQBfiHK3kDLfgwoXHwJK0VaAcBguZNhfcdgU4e8d8r6jgEb5xgWaHgRdUc/PMvclZvHFhaQNnWsYHpHbryXAxviwtgVFCl9p0ixz9KOlVLo9Ueoupget3esQBLaYXC6vL3KKmfCor6buVghhr1c4ON3hL4cvCGsVwqc1TuUk8egTmbcot+m1zXw1t7MJVjACXuF7GvhfeR+mBn2+LHKy/UdFibIe8vAXcuKAqksDUoYWWcjBONgiOUmlGMmp2fbMihf4NouM8Yv/nnu4MMITNLf84LbjuPABEWZgeFTLZ2ixabHYy0Lw3wfv/dB6A97xK1QYryX21KW+fKEtgrPLiegl/PcHPpcxylZuk4JYcfOLGqngsj3i75U1DtYWbvk2orbrGPCCUxBgU6+bPxdWiceq3gM5/oUYMVk8HDkYrCVvusUjlwGOd71CyvCsFdVT1SCleVL7h3m9FghWlDIm62xsh1C+W0ZeNziKlghnNyYbhW0BYU1C2DvN27ckuOefA7cn/pETqAP4xIrjzquHaWdk++XP7kPsJLBAP4+vofXbVx+9hbia/ldy5ySTSrWCVbBUhTBMzFs+zNOuZdhqRMUPkYoD/g9XHFrMKvQtmsBNj5YBSPP+8YrMGCc6z3Xl2wfMESwul2yR4lC/E7wbdY1mRP6Mzc2hbVFJ3OGItcP2UPy9n6BFcqxXOTInfC8hVnCksmw7bou1ncMtl1nvco2dMJ73yerWLkVGTYZg5vzDJsy4BbKsZzluK3bt94hmQG6W4C6SzDr14PWdUBbLCFfMlhZn6FYZ5AvZe5YVKsIybfM0N8qw11//jts87M/4HcrS3574h3RFk5nxHJjTb9g417h+2kO9jgoolgHrELIXZyD6D+TCzVBUDXEngaht9mtHEEpp2we3HzzzXj4wx8OwG5TuPXWW/13f/Znf4Zdd90V3/jGN/Cwhz1s5DzGOm1hw4YNeOQjH4lHPvKR4yQz/1S8eLFiwH3m/o6DJ/KEbvxv3gOBzfp+Spb3EOS2BdaycWAVApwAWACUWVfugidw41wAg0a7Q6FUnGYq7NifVihhlyrA8ClEzoJPyDO40xeC26Z0Ccz9RMfKA2fhddZ1K8Da9HlLBxXkgvR0fJNTB+g6S6MXYN3EUBArD2TZg9V+2Qn33vMAHWdht6csFBQsRfzEOoW08FGwUhdW+O45q30fBXroR65lHWRW220ydPIQNKmbBeu97ANs6dmU2wXAclGg58rdoxx92AmTr88pQ1YYFCbzbU9k/KkALGzKBXPurOrsdbBc9NGjAivo+Wkmg0FBXeT2XEAUsAJ+AevR4D0PENomL1h5wG0fyp67tuHnmqODggoQdVEUNihXn+ySInOCuBFvACsPrOLDLig3OaXEJuq5STaHQebKXqBLHWs9pAzGZOgWwTqZKg9svydngbR9ZVNh23vFT+OEnLr+mfaJYEwHSwWhoAy9LFgHM8OuuhSsYEJBtkKF7zM5C+IwKIouusYAvj0ybzkKyiDj3idKlAe2n6+4PmNdH23avaLjYmLY4HJ5kaHvhMeVLFjh+B3jxTsHdeL3aNkpaqTyoOOUHX3en1rY8q4UwdoNxAtV7iOb/LO0W1v6bkFjXLpdZwFfl2VecdUrWHiIxxZOl8eWPgGb+oWzpAapnLcrrbgtLTbmg7VWs2s3qtJ1YyKPjbzYSwXp5Y4VTDZ5gTP2LInGES8Iu/g0RZgbOsb4BTtvc+q6viA9ouy7x54bYfzzQqS7pizsB0FdKqUI8GXhd44F435RFkTZkp4K/NyX+smz4eBgBQULEVukWXBg67h8FmydZSvrihPSWWBiRY4BsNQ3XhmRCWEnfgZ23Oe2XyncYp2CMGiFG7sdzFpxjU8nvCuuvYjLEwQBYkVLbp8hb2WzAmzc5tIo0BOuy7zs71jx0wtc/DMVXAuwAM9CsxRiDYLFPXNKIyl8k3/+wWWaBT74vt5x9bBeB0J5ADjvOPcT3A62hFYYNVjK7TjNgn/mFCAFRBu4sTEnPlaXvZ0yZMiwZDK/TS0YKFh4tnlbZXvhBTAA6FDm2rHj68JtY/uGE9yEAFeA99A75QGx4iD1zIPPqSBuEYSrWCEQ3RGcywsW6mBjaBkYO98Yg6WiY8dFkR/f1/P17fv62nJm6FKGLnWwVHTQ5XYTCh9+zivklPyUu1WGU6IR0KWuVebmHfvsXX0yw7ESSPSdIPT6n5SLdrQ/DQy61EGGDtblXXSLDtbBGix4jDbgdZ2de1Yox+20jBWsYNkse6v8BqxHF0tY6W+J9XkHy/k6rMvsVjqej3m+3JTn1qjR72OZ+rijuA3L2IRNuBUF5a7EW6BrlrA+2xaZWYesswFLWYYtlzJs6Bhs2bXjplTo8wxzB4BbI89dOC/GMH+wUksqt/h9r2o/rzQAJYqDXPacyEdBfs4+ZbEPwmJia2sGXjdsmotAURTodq14v/POO+N73/se/vqv/9p/f/3112PTpk1j5bFwRzVOhyDkys9Q6rhCKRB9TPaUIDeMyw7KwRer3I14ocGKAx4QeJjIUcCQPeouJ0IfwRKxlAFkgsWhQ/ECvADQy6V10LnkO4103y1qePKxgivsUXVkFxbklAteeeAy4MUia1tXihBskK2wKxRiyvoFQcHTM5sajVt8VnsesDUqWHdt2XvO+s2TWI4MXdjJEQR0cmOPSMut6zjBBRlCCFXpBc087IfvkU27j9ylH/ag5chgnDKla+zxkgY2uj+58hsfXA8+gM6ya/MV53GwQjl66MOK4bmfDrrI0CkykHMNL9wX7HrKi29Ony3S7HWw4trcCsl24UHGLlysNaEDI47aIl/2YHEC2Frl+gmxoFl4jwPbNj1wJOCcunY5VhiQa+OCrFtG5jwQYmttsEQtO0GTFztc7j5yZE55QATkIN8/TQ67d9UrD8K7GITwIESw0sOWWyqECB10kBUGuSFkuY3eTiB0CmstkacthDZn5UFh2909077rL7ZX87YCu7i1EasJ/Qwu6CMvlLkNhdKjCM+zR9aLhPdKArBHxiEDyAXB6th8lrwHD0V9RQp78v1cJqc8SLxICmPT6zvvjiCU22BWnK5dHLGQ65QGruxWaApBEDPjPFSc91FOmfMecVZ08QzZWpgqmDhdaXlkj6M+2fgSfafkWFcEa10YE8mPiblL1wuaTkAyLr2uW/CuK+yicrmIPSTsOELROBLSCxZDcm0VC9QG6wvjvDGCRZLnAzvuib7m3LX7BfsSwQtrHe/2HlzQU0G2yvrL7SgFUY4B0mWruonbjxUltq1CNPG+FPj5mZjQhl3fJ+UztrVli/aK7zO8lYu8INdhod9tobB9MJ5p2UJu07HvJC+3mY4bT1jgWjL23YyUB05w4nLwHMBKXtv2GTrI7HjthK+0nViIy6mwSkUxj3AaGazCO3NKhHSlwQJcH8Fbiv8Ls6gTnt3PTLQxey1yO7AQGerhFBhOfMxEPXiOZOGn7+fAArxKCXl3XF1CGXi7H89wfQRBmIUmkHHPpIMl/3SCAM/X8rjaR47CFMid4prc+G1g0C2WgnAODr3HygPX+iaIbvwcjHsGhmyfytxP34aGlR3h+XNsK7ASJrqHxF718MS4TF1aQobMt3lHxNXiZ5y7tloxK7a0JnfKgw466KBbLGEJXXTRde3G9Q1tvoK+/c/0fHpc+i51bZuTvbvjfPxkD5QW8rTtc/RdW+b+GtsPltApuljCeixRF+tgy9lB5t99r9xAHz2s4HZzO5bNHVgxt/v0NmFLdLEO/b7Beiyh18+wLsuwoZO58Z4DWfN2xwJ/KnpYxjL+lN2KZboNt+Nm5OihoD6WMpteUWRYjy1Q5B2sNx2sFEs2rk8evAGlEju8y4gUrjyOrhTkPyvceMgKtlRhFdrT9UETVExepWXkG85msfg/VPweZJJFEYuVYXn0ox+NI488Eve85z1xv/vdDxdddBGuueaasYIlAqo8aI+brKWnAbtmIfk81fkZGH+//0wsCFPPBr/XiUIsg2j7AsKfPuze+6wAyGR2v7Oxe4L7hlAgCN48jUlhJHgeEFbYgizcxHgSLEBWk28Ajg7P6WQZ3L6zMAlYy5Gz2guvgOUij6zf3D52MGXrt7Xw5h1rkSw6ITgdNxe3C8dnYIsmC4LLWPFDcoYMObpu0dKBKYwTMjJ0ChvF2S5sOf2wl3WlcEKPE2CXsWLTd9pwO+R3kSFzXhEFOoWNRm3gAlEVxi2a2W0RflHN++03FX300McyeugZqz7g5S2hQN8tYnLqAAWQI0NBGbpk0CmCVYZcn+QFfBAyc6yghx76WDHLfqFnTGYXbtRxk2GBIu+iIEK3sIGd0iOeWMjokVXYbKKea/Nl5CbHCpZ9X+6YDnIsgahATkvekp+TbXvePsJ7aQvR3631u8AdtIIcOTZ5C0TuF1w55eiiCxRAz2QgdJ2FnC1e4d2y7tBOOQZyfTHHJrec6pkV3+K5WzqxZwPl8NsM2KLIijn5TFngtN4kffRg271vrC8J9/ec1qGDDEVB6FKGnDo2Erwx6Lg9r7EyzvV1skqJHmzZV9CzC2DDygO7IOsXS1hnOuhR18VRsG6tVonFQn4s7PWcl0SPCiw70ahv+vb5kF1I9qiLlaKDJeqgT3Y7jXc/lVYuhL2eLNz3hbKDvVMAayHsIEOv6GKFMqwUto3XdUxkmZJjCwu5ywUrmPrOitkPfY+sGLbiysmBR9flmfemYdgSyp4CHBek55ScfcqthdAYV15rIez69GIrM/cJr7ByytieS7fvN5zBWjdh0C1sOyzlmdu/z27HrIwQfYGs8MaWa07PCm5JekaWTwqyvKWAvLKY6ytFSSvIGHQKFoqdVTsVrt3c1HdCcZ9iwZi4rpR5wabrrMqhXHySDHlvHdvDrWhiA4fxvAF00LXp5U5ILVhcKgu5PS949fxinWExaQlLtq9Txwvg3FZcFxaW+m4Os6MJp5M5kbfrhd+MYps1C4G5E7ikMGnVtk7QdikE+2+A24GFfmmZ5Cudvd4L0TLIM1s1g90yVm4afwcLj1Lwdnmb3N2Z+zSCAqQT5S3LYAXooHzPvQol920AY3zdO+iWysBl76PnnkAPbCpgVYp9dhm6ZsnXBb4dgnhGYKVD4dogrEui1jCx8iC8RfDppe2cXh7UPGXlQccsuWcennvoM3lSX6s8KIq+LaNxfc4sYQnr0XEKBG43+Yz73jzRs0I0+t6TNkMHmcnQNesr296WpRA14feg7wXygnLkZNuTG6FjltBBF0tmA7pmHZacB0FHKIZyY8vXwwr6WMEm3I5+cQdW6A4ULr0VswU6Zh36ZgXrsB4r2BpLRRcbaL1XUvHz4LXg7eYO9LCM2+lmrNDtWC7+iH6xgoJW0DO3o2OWgE6BJbMFCvSwntZjpbcl1vc72KLfxbosc1uRwnYW/1wobLfIxU9WWPadl1PfKT3ZS1CanqLtCuLd8P4bpux5EP4Lv8d+La5nEonnsFhIj7ZJprkIHH744dh1110BAI961KNw0kkn4R/+4R8A2G0M73znO3HXu951rDxUeTAUYTkVf1bngVB1bfp5VW+1n/ktCgQ/paXaRh4WctjtEHlBMJmxbqeZsccAGeuFEFnZiPeAk9932XcL0lwMblxW46JB9wvrS9shgimc9Qe2fD4QG9jzwO3tZCs1L1IR/rjUfbWtq7g9VikrDGD4fF/Dxmx/vA3vGWX32B4vWlGgb/J4YCWg7yZp69qcWcuW85iwlpWgr8394M8WtCIsit1/ViOcW+WNm64NDHrO/bJLBoU1onhXdJl+zoKsLDdybxXwi2SyGvUeuiBYoQgFYDIDKoDCiJgHlLiECm+JPnL0jS17YViQzfzx4R3qO0GmcKcxZaCiKFnO2HWXhVlehlgBuY/cBMHQtj0vHjP0yJ0fXwCFse76vCRjqxwrVkKbuzZBD2wlCos6G4+ggwxEHXSKzLmnEjLEFs0gyLHgxcsn29493+aEggrY0907INi4FgTeOmL/yHYBnDUY5C2cPm1Xdqk8MMagIFZQ2HepMLZNOhSnzVbxPnt4iLR7xikPXNpkyCqYnDILMFYhRzauiFVKkH+PCKw8YCVT4b1TrMDWA+CUQE7BRGS9aeyCD84zyG1b8AoPtrxYoTR4j9jS9uyJ4m7ssstU+153UBjrak1u2ct7YoHg0p67tl52bb0MXnj2/IjKS3AiQp8yFGRdcQvi7VxJ33BtbJ9hLgROK5yzJZGtyzkROiZznldByWFMUBazQL3i0rXCeREpOViw6TolSt/FUOlnmU+P97OzwN9zniFs/e4LS1RIzy7NeybzFj5r/Q3P3lvD3LgcW9MpKl+HrFW0A7byJRZ1SGs6i4R9vwC2Y5kVFfpYsot9kvbg1Kpc+LbKDY+50poGdLHkxhVrX+9Sx48NfC1b5/vGlqiHFb8gZzJYz6s+ClfXjq83j2OspOtzDU0QekNbscKAW6oT1Y6VwX5jmgm+B1xebtnM+QxkxA7s0jPMCRyG/Y6CcBHVSSgfMulZZqTCgf8tLej8VIIiw/A6wPA97KnV92WoztvOjmy9j5UHObz/BYV5wziB2N67FNXD+mSxt8OKTYV6YNs6f8dl72PJpxUrD0Kb59Tz7ZGuyULPlD0+JtyXqnnia5xd3P5H/LxtXTNYz4PMdH19GX4+tp65K28Boj5gjBuXltAxS+ibnvPXWPLKH7j+S14N10NOPeS0IpQH1phgqIOOWbajsqlue+6D3PYF+j4tq0Dog3gLmTGuLF30TQ9drEff9NF1n3XcO1t45cEyclrBMm5DnzahXwTlAWUFMqwgM13kpgdDXSxhyR7r60Z8bu0VOKNGtgk9LGOFNqFHm9AvltEvlpEXKyiyArnpoZOtR44+lswWdgwoltA3hJxs0M8lk/nYG/x02fzHnrC8LYHnJx5b5RaFsE0hKA+8Es/ILQlBmRArClLlAfe7ovwZpdcpmwunnXZa9Pt73vMevOAFL8CvfvUr7LPPPmMrDgBVHgxNVawD+InAYiD9m+IX1w/A7jjHiAqtJrv+50WwDkk9v/UKYJc6YIUyFEVhNdFEdpFvggU2eB5wACob8I4X+D3KvdUxWCIAYlsRAd3CCmz9zO7tz4o4IBMrO1gpsVKEvd8rToxacVZkbpOCuijQBQgo0AG57Rd5ZpADsMfwiPSJ3W3t0YmbqO89A3K3QGRBM6MMHdMVewzhBCy76Lfh96ygaSf11GLIru3Wat9HDz2z7BdMucmD9pxy99MK+B0YH5Wc98eD4BbrcPvh2SughxWzCT2z4i0MAFCYvpu8gT46ABH61EFekLcEsrBZgD0n7OK757ZBrIiyr5g7/ELPIENultClvl1Q8yRXWEGL95tyv2TtOafdh/PGMH2smE1O3Fz2fb6Drg/yk6MAiNChDgrqWgsHFT51Lnsf1utmxdlHNrl0l80mv/jhRVphcnSxBBCh67xLOpQhp64TlPiNE4IcWQGWy70Jm5CbnmtzW9bM2EUvgdBx6Xapg5yW0DFuWW94WWbbpe+sChyzYhk9q5TACvrGLrD4Re+jjw46yJGjS13ktA5dZyHntHn84ECpfWdhZqWB6zEoDLcJnMXTptunLnq0hB510TUddAvj99K6bhgEPqeQYE8G61mTeyWW9czpoEvrrMsprUO/sHktub3JcnuBFZwLbz3mZ7liVoJSwi2MrFeDc7SlDtYR/7QOvFkhxklybQ1WGlghrGd6QTB0l7IVeNmnu84KwBTsqXKULigImivoITc5gkt1z/c5tgyylXodLTnlIyvCpFJCCMCwnhxW3GL36sIvzvk/uz84QzcPgie82MGu4laQ5XGOrb9kCreHOkrRC/9GWMGlC3VuWAXV879HAjF1fHtyekHt5/opSLgvW8E4uEU7wcpw2br+uceqgyAYBiE9+B6ETXu2ZGwZ7bKQQ6HN/JLbsEKEBc0VEMXCrneSN+ucANfxwieTCrsswNn3OlYecHpWEAzWaK+cRG73h1PfC4YswMH1IRYiefe7LAv3nYKE0iCxMtp1SGpx5wQSKyaxUFuEe8ECvBFtYaJrrbK6L9JweZugALHjZDf0FWLRqACR8zjg58HrKMMKDH4WHVEWk+TN7WB/8nqMPQUydFw7dNxnTnlAQZBnxYX8LLSjeKtN+oaLJvXXV33Oa0TX5mK9mBnrIZGZ0FZWmdDx/YXLVnCfox6ICve8WCnYQWa6tg+brhf8+bmH9g4Cfk4rrh/admMlS2Y6MKaDjL0h3PsQ16vwbe7TKjhtLp997zvZEjLTRTfbAh2zhG623r1rXa+YKIi9QFaQUw+94g7kTtBnZUSe9ZCZLtAhrGTrkJs+uliHpWwDOtR1SioLb8tYwR3IaQV9ugN9WrbvbbGColgBUd/W2WTom01Ax2DJbEBu+ljCOmygDViXL2EdutaXSChNpWegF9mF0pjXPITyVg9WHADswRP+Y+OLVDYFb4/UAyEowCjqW8F4w89p0WA5YNJpLip77bUX9tprr4mlp8qDkUh7mEm+JbfXrfx17KeQpENBrelfeQrCg9Qv8lDEN7AzNweBygsCjLUMGqIQc8EARRFbp0MQKDmwhYB9wX3TWjUNrIhlyLqC81FifEYzC+DsWhx7NIT/YjfJDAY5cufmmcM4YTNzVmrr8iqtb7L80mMid3vuCrYuub39uVMk5G6y4u0Xhr0zEAb/4Irmgjkhj8rPCz5v8UWGHDmMsQoEAOhSATLW8muPFgxP3WukIdrF5K7sfb8oAoDcLYT7TkDswwrcfRveGES8PBRtjyJuE7Y4OPd58gtnm1ZugIy6tgyUow/bILzklBGj8yhtV25v0eCyx8o0Frj6sNbrDjJkRHAbUsDbFuxeXN4LmyPuL2zT7Pk+k7uFYRc5QLafFgAMhRMZWMTpiwk9lLYvrH9iIY8CBh0rPBOh74ZKtmTbkotyI94D3EfuraW2zXtCWHELYFMgIxsmOnPKLJAV6nh/LQu13FekF0YfPS9YsfUzCJAdOPcR2y+cJ4mBQYHwntpxIHim5GAPkp57rsEDJkPhrVy8gLZbm7qwe03Dztiwv5M9DYInQ+4EQh7JMtMBu6oXpuvicDglHzLn9h3eHa88QOFUEiFd6bHDO8eJgMIJ1QUyq7iCcT0lHm99eV279r0w3fM9KXNCKoHQMR3neZT5AG2R8gCsPOglVmuuP3GK4MCluem6caor0uPxPwj77OJL0V7vwgvodiztoAsbYLRDsRBq21u6jtt6skAchCEnmLCSg4KyVCoPeHHM4wy/ZWGsCRbtHFZ5mFHXf8b/seUtdwohfne8gAfeRmVQmL57kq5MRrjH+1mS3et71qXaKWZJxN0wTjgqqLDlcsKurKO3GToBLodUQpCoX8cpkjrIyPm7uWB95IMCuje6RnlgU+p7QS61aHslBIXnzpbG0Nb8nmal+/1YwW9UIjSzoGjIKiBM1BZBmOURlVLFBbHioQ9WIsR9xVlRXfsR2efhy08IgixYkRMEYYK1rFqreVUa5GL4WC8xQ8aPLT6apmgDIlmHWBHCSi9frkSIboO31rNATSS8tKxihJC7ctqfmen4WZfvY6E8p16kLDLIUJgOMpODMrsaKVCIGRD+WfHWAvtTKA+I/LMOyoM+MmMF/NTzgvsswW1VKHr23aA+iiJWbgAFyOSunoUzEhVW+efeWe7HOdl0clpx/w6eDHbuIeS0DBSEfmfZ9SWgY7roYMmXj8eNnFb8u0+unvK5GxCKooc8M+jBBpFbMXd4Ax/H6FhCgYwyH0BTrkftsw1vEKsGUu+C6HfDI4H0Gih7F4RZr/q/uB+zlBCeUvijKJNjbOXBD37wA9z//vefRFnWFNHRJ4nHQKy5rp60qzEAObcwU3gXbv7DAlvfuwsWCMt4O2Rk5ALSAc6Sbhf01ivA5ms1pXBH9bg92hDWQfScNTO4WRPIWXXsXnuroMhQkBGW75A+Cw82YCJbv3OsOGuv3V9eROkX6Lj6kx+IOzmh76JNZ8Y4y6NMXwbr4/38feEZYN1QeXtB4YIx5W4Cy6jAkovG7CPnw1kMiXj6cVZkm27uohPwoi9YmTIUbAlzC/UOZcjdcxHGZLdUJy9ULRu7z6+HZfSxHBa4sC6L7M1SwO7fLFwgwtxZBDvEC2/bv4K9NEfPrKCHFfSc50Efm5ylwXrQ2IgKS9ZFjgorUNA69NHxngEd38dYUVV4l/wVLDsL+zIK9NGjZd/XMuOUCYYFCeshYLcFhHaSlkIWuJbNin+WwaPBWvx4QWev7wPGeQi4fpqjsPY/Cq6frP3vOc+aFbPJPlPX3j0s+0W0QbD+d4wdJjvoIqfC2fY7diFRUW52s7aeHiv+T/D2AAqss5YlU6CPJSsiOctJV7hyc7l5n7Qt7wp6ZqXUD23adrGdG/tM+1iHPta5WAhdZBQCcYWlSuGVBuwl0cMmsHurbw90bJ5mBT2zhB6tt/4CLtBXRrHygPtJAedx4Nra5rbiF0ve8m7WoYMu+ughQwc9Wge284fR0/5tLe+597yw6RZJumxNttaznmtzdnXvCDdu66XEAcly5ymSu/aVAqLxQmrHWc26ZskFLJNWZr8UtncbduLvuSdp25XIKWRgvaM43J71EHHpyXKa4O7tBWKw9Zbr7f4zHS8IB0t2quj2Tx9SQE+t6dyWNk0pzIXn4tUv1PcWZS/U+bSMF4i9YGikuzGnQ06wDsI6ubRsbvb9NE5h0zHrwIJyOp6QG3dkerJMvlzGIDNLLk0OmCjanrgMwcptf4YtKBBtz9ZjY7J47U7izfMCb5EIrHB5B+t/2abthFIq/HhehaxDdC9J5VmStxSQTbqGsQQrPwvE0vOgE5U7M/FS05tDiHw7SuWBzc1ahH1/K9XD3evrb9uThUPjvQQyN/dm/jmHFITARdwO/BlFHgwpde1aRaSc4fK5NPk5Z9xmrAAT6XvlQWGVcSzsewWY4fu76BQryLIglJvo3bL3eAVC0XOCudyyIfqv6XqPhrD1I36OLJRbpYHzPCiWfZoGBkRLMMbO+52si4J6Lk27tUe6lbI3RF6seEWE3wZBhVMYGuSZVcBaT4ZleC8GVtS5d6pPdv1g0w1GGT9GUOG8G3IY00FhekAH6GI9VswmLJsNWKJ13jMuI95OU37+ZbFeKAv9dh9WIbj/TJFcKTx7/H/xNdLzgPtp7IVApRItGgR5eOrk0lwUbrzxRrzrXe/C97//ffz6179GUcRj/Jve9CZ/nOMojK082HfffXHAAQfg1FNPxfHHH49tt9123CTnDqldrJpE4Sz7TKosaHxvk+0PwcoRIovbuAepPpI1lGwBLJxQWSA3HNTQWlvZtZrhfcO8tzy1JLPiIHbrtIEYrVu+Fa7t5xmC/dgJRk55UI6hEKzUhXdntWnkbiGao++XpX0yznpq68n6Gq69D/Ql/gt5CIuMe3qZyVGQ8xAA0Afbw601NhPph8A2LlUTFsPBfdUuXDLDwpLdi2/LAOeBwBNC5reWBBsWiXKzBZwX8UEgLAxg0HGlsS7vMPBChbWB2vbjvhpaw9mTDQsIffAxRQR4S0ywBvaRUce5VVusgCwFTul1wJb1UHZ2/QfYwmKQOysau9dbwUEKFMG6GvxS5O5pp4RwQoldkBjkpufaswsYoE99dJzlnnwOrt+D3aFdHzfBlm/Tjl3JDWV2IQFCbuyWmr7puMWftcTzAgQIVmZuj7Tc5NrUwADONZH3tWZOOWT7OAvrodwFKPJkEFEsor7CWy14AWXYU8Clbft6GsU79y767OoZ+ko4dtN6HsQCl1V0ckDFoKjx/cS7jIezOLxF2i2I7dgS9tEa54lhg1PZWAUhP7JxHdz4EYT8sBeYR0iDHGQ6oZ2N3YtN5I4RNR3Rxizq930wPBbyuc+FNrMjFJkC7FqcmcwuPmH8M+CFoHXll4HdQjkB510F689lrdZ9q/B0/VwKL8Fulft0pOu8VEYY4s0FbMHul+YvFmCjdzexpsMtlQvDaQblQZU1Off9nS3CPA47RYQxIFZEm44X1uWbaoV9uc87sSrDCuQs0JB/Z4yvP1vjvauvExxy6rs5RS6mMrefH95zIxW8gvKABf++q1squNt3xVBmra1UJWQULp3cCrxgK654v8gpMMmIfiDTgKuHEOArCF6Q9UaMaMsBAAjBNT4xwOccbRFI0zPgk6C4b0fak+geb/VPlQeGn0nh9uJnzlATxkl+FtbrgJ8PC/5hboP3hACiUKlROcj3GS+EsbU7aXvAxO1iqtQL/Izi9Cx2TSMVXgX3YVZYUPl5+b3/Rd+3nc3e+lFZTzh79HXG7YZQTn6PpMDPv/M7zCtKuPgzyGzedkwuexux8sZ7frAyCFbYJ2MNWhkMCurDDvU2cGZmCr/VilPksoVnGkf8skqiHCDjFXeG7PsexhPjy+Dn3/Qd8R4oPmenYMyQ04o3CtoxxfaP3IStVoUwTETP2+dCKLx3gfQQcCsRcYJCndIgVUdQ1TWifyG5z3Y/CtVUNgt+/OMf46CDDsLtt9+O+973vrjLXe5Smj+WlpZq7m7H2MqDf/3Xf8W5556L5zznOXj+85+Po48+GqeeeioOOeSQcZOeH4iFIP6gWoGA6OvUxbAaXtiHa8NkKCO3s9ja94KVXZTy4JY7F6oOMrcPyAZec7KbEEXc0oxgI3VDHuEX9mizsMw1Idi96iuw0fmtVd0qHzo+YnZoCqs8sEtStlD3jHO3dnkQwsRnB9JuGPZckxUuSJch+M4vj3pi8XLFrETCD0cjlpZNAO6owwzs5WAD7ZX9Q1i4D+7WKy7YIAcH4gBL9lkZZOibLjog61Xh3HGtXj1EFGb4iKme2wPeM8FCbd3sgobcpl+g705GMMa615IBCheYS5afBWQrEFpLsU/bhdoLVjwWf1xHAXkNeQeFd/GOrank91uzx0GOPvouYFIIXkWuBdz2Clihlvdn22CBqWs2eQVT3++PX0EBDu6UQ7ob8+IAxqBwFtucOnZhgiwOEubqxv2bPSX6sHsqrWsj95kgOLDFNjddl1vXWa/jVs9df2C3f/ZoyEm2ufPIQB/GeR5Yrw+ggz4ydJE77xVRakilhHyOIUhV7sraQYGOHT94O4ZTHIUAWvFiktPmsyHss3QeArSCIETy3nwbmMvG4ugiBx+dGU4mJ/8s2eLu0sWycx1fAVtgeQHNlqPcrEdmOuijh2ClNk4YY1+c2JLfo2X4DS/OkhjStYJq7iKI97zVW05/vpXByg6fbqI8ML53WI8Gv7fYVAicyBEWsIXoY2GPtbcw+7tFwDQTp8eCl/c8IBd1XViBYzdz0X4oR5vntipYqEAunguJGkv39Y4X2qXngfc3oSBghwW7XT6z8iBDF7wFhssZw4JSEPqDkA0vxPg2l3V05QwLaxawg5WahSj/TL11ewVsKU8F9sLXSVq7pUAIkV6GYKk1ZaGLy8UCsxdc4cd9WZc66z/nTU750GSpYO81e198rQxuJ/OR95TyTOMDRGsg8VySPhwEaSlQk29PztnWW2zb8J4EJmqr6DmL9pTPIqSXvk9couAFwWOBLUqsYAptkT6PsnJHtrMX7vz7QD4NY9yWAMNbjkLfjtuc/DtQFL1QTrj3yHSsstQUzoJe5cFAfu6XSgTyAQ6dUsPwe963awDjlIdCGSH7XEjPKeF5iwBylmndiUAGYKHZ9G0ZTSdqS6+U82UL44lbSNg1RuHWdqYLQg5juk7B4TZa+jYLAT2l1wH3Ly98U4GiWEE/I5gis3NX5uZOs+Q92HgeDcFQ6zxQhNLAxFsJwkqqSjEQvotTEooBv2WoiPKL0qGQZ3zdYqCnLdRz9tlnY6+99sJnP/tZ7LjjjlPJY2zlwfOe9zyceeaZ+NKXvoSzzz4bH/nIR/DBD34QGzduxCmnnIKnPe1p2HnnnSdR1tlDrAyOrW+ly6xJtzIJI/62KVFpvic32BROgVCggD8fFoVwXRUuqu7e3FmUM9a6Ey/9QiYhqJ63X4GtyCxssKoi1NIF3TG5jaKOYCUgspY3fxoCWIANXgEsggcLeLzv3reMYXdwa6uOlhJSO+2nA/lfbPH1brz+FAinVYb1EMiddU3amZjgXyC9JUK7eMUBCld68u3F1vXcdEBOO00IbooEPmKriModzlxgS4Ab/A1bFEK5rZCcOeU5H+8V2p5jG/BPX3aSngdWKcF74At0rPDvpkaAXN7GC+GsMedyx20SdqLzhFwY+9IU6Nsygz0F2EJuKxi7/8dRCazioC/cjvu2xGydMQBbXvvoWosLB8UzsTWcEKKue68Dkh4Z7D7MUcFtXVgx5BfTJBYgvs9wMLxwdBUrDuwCRu7pJRhDbr8rXHt00TE2/xDFwi0cxDna3oJPQolFua8jewiQUHiy4oSt0bJNWLngFRKuzQsXXCsEic2CEtX97LjeY0zHR83mlAvXflZ0toofjhYuA5SxdwSPeyC4BaFTACEIcmF5FDbmWKHX7QUGW5XD4pzAwb6sSB6imedRO9iWzl06LuCqU4RVCTa2HBm8pwqPIpGru7TAF76cbA0HFW5SCYIwj+tc75LFmIVYWCu67bM83lHkTcT1twKGE/bdaST8jnrBGsHSl+6/9xZwY2PTeKt4VC5K0hButOypZjLAWZNDelU2WyFEeGEnLKjtCTHGl8NEHhfGWxX9Yjp1j088DwxJ6zaPpGHO8e+Q9D7wVv/yloFQjkzMXVK9C5FWIkxL5QErSpLjHhGlVCHIV2Cc4AXwDxZoQzq2v5iKe4y4K8mzagunXQS57+N3Iq6r6IdpO7rxhv0rOfgzgRVDLBSRKAtbvEN5fFlcO4bnHuokZk53fRAoQ3n4XRWV5baKPAVEW0XPhaK0o1WZId/OfHhj/CzJC9Ru06ZvN5ubNA5xKunRkfw8ZN+V72oBrywh2TasUuj490SUCkFBx8qHVIklVyZBwcjfZEn5pWAs28D3RRP6jN+uQ8bGUDKFH+vlqE5uO0voF+J5RcY78koQwBrlWFkVPM3c+JwEQw3SgHzPqdQelHwe/ov7SrhG3pUozaJ3ksJviRdT/DwWA9FbJ5rmInDLLbfgmc985tQUB8CEAiYaY3D44Yfj8MMPx69+9Sucd955eM973oOXvOQleNnLXobHPvaxeOYzn4kjjjgCWTZ8sJm5osHDQFxU+67KIxP9taW77QInBDNkUVtsLXAL0qBBtSn1XfC8zE22BCC2ETn7UOLNwDbN4IKeeyHY2OWiOwYut/Kac+8iWDfejHiiCtOHD8CGvrBs9sD+CGHbQhhsM3Rsrdw+UZsWH5sVAtTYYVQGprMeDVZI6Xtts11M2+mpMO7wPdMHCMhNBnJCsXHiBACfdgHybtHSNT+nvhMCePK2E2pOPSfkdV3Qu4475YL8PjlfdqcACm7ibElmYbYnFvDkJqyOE5R7VuwxxiluCvAu+TDtctsLgZBC20tNfphiM+RirVg4IcLux+6EvoNcuM7L7RDJkVsUhO0ctqzGuZEb50VhJ8NYecCBLlkI7/NRUOiHiV2444OsMqLwQmHXKT2yEIgQ8B4V7JXSx4rwOBB9hgURF7jT9lPngiwWEqlgJwVa9sBgBQILofIdN04JRM6LxEZq6CIzObwLtu/vbBW3PkJWadDzwrgXzpzoaXu6a19/NFruArklyoOSIiX3SomcVsSYl4Hc4ol8DBEbSSKDDfSHKOVgIZeeDMFiTj5tW18bqcK6sdq4K2zhCcG64nSjo8sod+3M74txAcjCyRnGZD52i9yHzYJCnG6RWL8JcRR3DtbX94tJFtJ9usQ+TFYQ9jEFqO/rwmSUWWHTud1mbquMJCwSi2CdQ1BuyL7rLddCOeESiVMU6aQCrLgMwbvCCdjR2lQseiOlQYXyALBWTFTtYw8UFJSQLPBEGKu0snXNvcIEQhkVrIrSk0EobkLrWyWES4/4KNvEags4gcULOE6gS/2CfVmCpbY886eeB7KthCXbDch1ShZWjZcE+VbEfbBqiwWXpeSt4IV00Y5k3BqHRVcReDEpbzy/BcGa8+R3mHz/NQBlUSv49yAV+jkdAtirhcS4F8ZuUX8CglAeXOWTgotf420QQf1iRH0KX9/wjJlCvEcsOLKpx87mPi//HvEWHFlO49cCdrsIOS+GIuqDxvBpT0LBB+7L4qevk1s/oXDpFuEZSE8aqYhgL13R0gCPWzYNzsPNqsipSMrH41su3lEhkBO8BxqRjf9llxF2/rBBiGNlRKlfgJVy8RNlZYTfVlYQyMVTKpxZxQbPjeclViKka4Iqi3+VV0H5c6E8oPJn8VqCgKSvUKm+iyIWK2146EMfimuuuWaqeUz8tIW73/3ueOxjH4urr74aH/nIR1AUBf7zP/8Tn/vc53D/+98fH/3oRyd6XMRq4IXQism73h2oZrKnePqovpOcoF54138fWZwt90YqD6zrvd2Dbc+77QthOyNEZQnCPVsFXbqlvdpxdHjACtOZm0SCVZ3d8rlNeFpi9/Mg3HvLqQhcw1ZeQFp2jbeq8+ex8sDt9I0s7LH1PgyqrBPniAE9dAyh7yIag9gmmaTO0dFl2l5ADhr7zGRekALBH7VjPQ+c+77fm1u4UrHnAQvhPauYgQwyxgtLOGHbLqZZAAfsJNqhAqxg4X1zvO3EC7JCOGSBBmxhh3F1tFZBuwUg40djBSRhFSpE2qyUCAHXwt5CcgsZm4xTIlDPWwdsKEm71aCAtCpzMLgV104sGAb3Q2uoCT3OxsxwR5S6RWeBDJmJBXa7zOQgc8LjQKTvF++8IDAF7DYXJ3yyII4giIdyh33yUilRRP2dhWUr4ttnadwWBn6WMu3Cpc/vzkrwlkDYzynTdp3arx06xvbX4MYfvBq8SpKCx0FOITCXDyJJvL2oALmpg9+zzMSW/EjIZ0s+5RVCeY5ggeY0rJXLlk4s0oQ12W8H8PvYXeT7KG4F24EK3yY2jgVbjPr+Cha8+KQQDqpXuEU1H4lnJQwnIDglT+F+ZiZHOu6zpS3sk+fAbsHi7K91VnleSLP1i71zAMSCuWs/uV/cvnNcK/ZAqHKdF8/Ju8wXblxIhRz49LynQIWLdiTo+7byIxVXEuz9wOnFsxN83rZOYvHvhYBghYwEJO9tFwQ4KZiTU7D4YHOijrzjnAUk405BKe07920VflYFK/TCs9vzHfv+hQV/7HVQiO/88CzeVWnZDinBtzC3cdUKg5KfVb8B0gswui4RskQpK/ILEZC8AiBKN1YY+HGxJCi6/spxE4hNE1XphO0LZUGR8w7jOvn0ZdtJBYZ8D6ra0/WwSMHDKUqvgTQdKTQ667cBQJnobxRbxsHvAPx7Ct9fnHKCspCrCdZ4qeTz7SY8hMplC+W2/Zf7Hnw5jSH3LDJ/TzSWeQUDdw1eO7NShZ9H7nKx7Sg9S/07W9Hy9qLClbIQvaXjThaL41REXims4ABs+UveJO4d57Hf1zC32zjRQQY33vOJLN7LqyqwabkGlHzOa8K4Lbkl4laIvRNQcX1IJ+1viwePCZNNcxF4+tOfjhNPPBEXXHABjjvuuMotVeMyMeXBbbfdhg9/+MM455xz8L3vfQ/bb789nv/85+M5z3kOttpqK1x44YU466yzcOqpp+JrX/vapLKdLU3vpd+2UOOZ0JgswRAL4MHbIBxBmHoeEKybcuYEWXeknJvEecqU6VvlgXOcL7nlhz8Mexlk6DurugteJAf8KH1ySgnnbp0E1Uv3n9mTJUNgPWshdAGsiJeCifJAuM9HLvSRCy6fUW9sQDNjrCAIuz+cLYlGTIDx+efxMX4sIMaBs3iOtlOh3L5Azh2RUO15wDUI6QaXZL+/0ViXPLu331q47dTLAj6BlVteeZA8R/JKA2cJJXb6soHa7F6vvhfieIuEfT6ZPe7K/S7LLbegyLJ7K6ZbQHB6hWEFSA/Wih3E9DBVCsUKR4WGCMQk9vK51bUVBIlQoAcY52LpBXPul9w2QTAOe9KDazkLYAQD4wJI2rYn5O7IrxCkMlizeNtCOH4t7i+FFPCNfceNS9dwQxn3/peUB07IF0qDoPQI7xIovPGheewCkuN9cF/htKN0KfR3u9AS23+E+o7TzqhwzzhzQQ/lApD9d4QywqVbeEHOCcj+/WBh0iksENJlDyJ+N2y7cHrhyDa/OPY9xCklwUrIQuTJi+Dggs5Cvhf2U+UBwmLRvR2u/1ZNp7Fw06Q8AIWFqP23U0bIuDheEOaRUHogcD5ccSFQe0EgtX7zgpX3B8fu/BKfhtiiVlnbqrpF11hBLqSXKlxk/WLBMChOwphhkvSC5VsKIUFQZSWCtNKz8OJTFoq3cFGV0GvHq3IlWfC1z5LnIfhkmy3vfA1Kz0wobshdU/EMqhQI9YYOSRvP0FSsk+myxGiSP1nUh9M6szIlKoOTWFkgLymsXP2l4B8Jwv53Fsx5a19VHVOBTHoeJO1pWBC2wQ3l4ym1un8fi9p07CKncMO/67+JkalKMRIJ4sb6fxkUANnxzHojmKA/kEON2PoE4raCuJAAPlbRfWTLBpc+hW6YbJkJigKeLyD6rFurogh5uTVeXF9E70OpWf3f7MbP8x2PFzw+c/nCPBrGcLi2E+MAkXsWrJwgf6+92hk8knmJZ4TgadSe0Ne45eX7lPRLhDYhSq9NPBrEemN4jyRlLbO0tIRzzjkHj3nMY3DGGWdgl112wbp166JrXv/61+Owww4bOY+xlQdXXnklzjnnHHzgAx/ALbfcgv333x/vfe97cfzxx2OLLbbw1z33uc/FkUceid13333cLGeAHLSrqPAycIv1usGvGTvwujB9/mi5nM8yR18MhPb6zJ0tnbmgYj3hCm6S8nmXfPT9cWccXI+t4CxE8ERgXbUKp5Tgn07QpvSoLTs58N7yvtiy4F3zWTjhYd64SUwG+3LCid1rFgZltsOW3f5jt2teBBiT2YHUAHDWYxbQrOeBEwVMEDbZpT5Ehw9nhMujjUK6BQo3oXBgNxZUOHhfsHiQF+L9Ng63vzw+15gDCzq7mBO8c2FZtt8XzmJrROsLzwPqRfmkAYhsGuTjKLBAbk+KXxJCFqdOvm3knv6c3P5zsW0BIBf3wLpp576NDApnrWZBLLR9cB0Pyg/hkSG9ICAn9vhZB9fC0C+BsE88eAaIZ+ojRdt+bwrjFwnkto2w6yUfIcaps1ImjzwPRJwJYZHlSOR8p13i5u5PfDQZ38deBqHcMlp2WICE2ABd/xm5RY9tlXDiBSsPWLlRcEyCIuz1D2dHF64n2s87phDPMMQmkP0wKNicUqKQMQSClwdR7vfDw/A7mgM+XYh0USHk21gHXsgXiyUrhGcgd/xYgRCAESLd8CzIu8xHru7e2udKw8+HtyvwaQZSyBHWeKAs7MceI6wIc33PH9UnrIeRpToswq0yk98I3yXBwmYY/zm9eD6L04sXqTy/2eSMHy+riIR9Uc50e4IdI1lRws8gSqUynVAx4/62Sm1Ozy7mwzP1S3Ip7LMwEW1bCP3W9sfyoV1yeR+O96tTtjgBisIzpVIdE4EwEg5ljkLQQegL8pq45aj8XSo91kB1WqEkl7j/yHtcX/HPwnlc+D39fEviSh4JN+H4QUIGUO77XXN5iqjPhG9zN12SK1ddHWU5ZLnid8WwcsQ4lRBV1L/0HNI2CzIrrxmsAsAEr7poHGEBON5W4ZVSBLAVnYzcRhP6dPh3qqyqVkBxHBEv8EcKlbgdS2tjF2+Lovc+rCHYQ4DLWX9EXvruc2ULkPO24Haz42DwcvCrLf+et1mP2/HLrn3Jp2GoALIQXtqqt8Mx0zxe+y1ivr3bwG1AKLek9JQQbSL6VnQfxVfJeW3RYPPXpNNcBH71q1/hwQ9+MP7v//4Pe+yxB7beeuuS98G4IQTGVh7c9773xfr163HsscfijDPOwF/8xV/UXnvPe95zTSoPSPw9wo0j5sieBy7CgeGf7E5F0YAQdKtOY+r28xu2yIiBzApkwvptgoU0sqy7xbsVywrIoH3sol+20lhhMQiwRZSmD9YnNd8wKMgAJvcu4YUTSGCAwltuRJRw0RZFlfXbL+pYKQEQZShMsKrb+rr9t7xHltvIhEBnwTothUsnBIgBukDhvCUKhDYEyDnol59B4X96a6rfjyj+c8JwQbkX6t15FzAuD2mLJwBRm7u05VYLFpL8osbvvc9ByFD4Y7EySMst/2cnNRGALHqmcjEH29Ymd1Nx7svHVptgxeXycxvHio64zzC8aGBLS2GPtqQcJlkIS0thkZZftrtYrBQmQ0YQ/T33R3OyIsq/sWIfqVR0cJreVdQVGwS7T5OCVafwwkbhhVvf32U7R21i68RdwD4t2972rc3FWo8VWyx4UUhX9kNOW7oDRwIAWW8Uf4yiDBrFi8TQx0qeIxX7zsOiLPSH1OE5vD8yHVFWsWXG9xC3yHQjjfdBMH5Li1AeeOFcetDEzzH0PN4eExQxpb4srV4i7RDVPX5vQUJ5AA6GJiZ5HnNIvoehb4fFeCAVXIMHR7wgD8qRuJ72ptga3LTYlwv+YLlkgcMXygo6QixO39ZYcEjLRF4ZzMpO+1GWpBMWzpGFtOT1AedBXiCy1lbVUCgfwhiaXGOCqAQWBkttlgpy0kotLgELvf6DupIlZSkar67CUNXbllIW0NNSGPdY+K2L05XzpuzLaVmERb2xIlKAEulWXGUF/7Alr1RwXxJK/vgL/G/Gv7DxIrz0DAH/XlZkKMoG12ZOaKU0XdlWUjAMbxHfy9fYV8SO3XIO9/0/8XAov4gUygPr1cDxfoi3WlTCJYqDXkd1d++cnUerU2k+QYTrwi8/G254aCjCO+jT49+r+hy3J4/qgA+waeDXFvap8CkNQslLIVijMSap72DIjeWVdUzrEfWvivE6uV7ZvHj729+OP/uzP8O3v/1t7LTTTlPJY2zlwRve8Aaceuqp2GGHHVpd/6Mf/WjcLFcfN8A2DQVVk98YGcLaGa3XQc9Yj4OesceR5VgBJYNfxuK9sdrRgshZ0oV7qJsZrNAdBNc+wlnp0TGEVAAI7utAZoMM8vLesJWucPt9bdn98t15HvTcUXs+YCJbqRG2LbACokAOY/rIXZ4Fcj9ZxQIm12AFfNAk76lmt24WYP0S1QcVMi5N3ndfuL3sHfBg7QO98XnvZI+WtNb72MIZhAbjIszzdggOCshu6KEHsYt7KHcI9Bj2sXM7wrm4Z04d0hfCJ3m3aekd4MvpI/27aP/Sgo+iJJz4acoQyO37lW0fni75di5tFZGR3/3CgwmTsY3VwVbbOMhcZK0WJwp4q7VLX55lbVUTVqkCA2f1Sj0P2JosPBt4O4cXzkV5C1hLTkHewmxz6di97mJPKG8F8Wm6IH5E/Uggt61g+x+fx839LjPWooJSfycEF/3yyRncJjZt20/IWXfI5ChMx3tKGMijsVgxweUTWyG8ZwMrEJwyyR3ZhcIG5iJXl7CNKjzxqE+wAsQLz7w1x/UMN0ZRVrjYBDk4wGE6+MZCPiUeDSSsTRCLO7stp3CBL7nPSY+gUFce2/Lkc7Ew5+fE2wvq4gEI4T4KupeUMy4v4OMDRC7foTfI9FiJEC6SC+ZYcJUexFEho/TS9hYBCWuI61KhGEFQjMR5BDVJXO50f2+aIcAWVfIpVF3rhOhGa7eJ/vCY3lRPqbApCdPpdoPKeBMQ5UjLJQVVQpO3R5QWZBuUhY56eBxrI/BIhVCaDLef8VtcpHgblTWtt+glvh4kni57M0S1oiS9qjy4XEV0j6nwZBjcUhV9OvVg8d07Vg40p0nwShL2QIjK21C3UnJWkLZeCLyVoapfVOElb9vq3rMSzlOIFQhw/64Y7yLiAJfxL+7dcYrEwUqrqroWbmsoIWxPCWmVW615nAtXkWjH0HYc9yccP2rE2s7Nfj6w57D1qRh3ZZlqPRCo9GnaN6rmmbWOHtVYz4033ohnPetZU1McABNQHrzoRS+aRDnmH1Zw1n05QaxLl7N1s3XdBM8A3tcutY88yXCgOz5WrRCaUMZbulFA7r0nJNbBKH3eKew8D7zVLWwH8OmzUkGkW7LaQ6bPAkewfBoOQgYOdMj754JVM1jvpVWaA4jJhSK7RhfWwg5rXbLRed0kGKYVkCi9t1KzgMUWZARLonGTtBc6XCRgq87hesWeB6mHRGRFJvL52IsLkLPisEskue0c5E6/QGJxS9vZ30MswLJ7MqwA6D0mRFlcnIhMWNfZjS62yrpnKcvv8mPlQ2hz99P1G781RvafyIOE4nby5eenZdy7yVsL3KLJpU+lNif/PKN+7tpEtrt3P3XvI7vuF2RjaLDlQaYPbue07RHKbdO0bqrWgsPtwm8V3Psa9/e0r8C3jRRgABFpDdb7ILfeEwCMIWT2odtL+VlFz5Iqf/p1mesM3L/Datn1ciEoeYUP9zdvrS3Ee8rDgBM8kiPPrPIsHnxlW0ZeHZH3SOhRNrnM9zOnQoR3sa606CfjiL/G1cG4MkZHA1YLeaXtBr4PV7gMR9OJQcnl211UXggL4VEmksYUqJiuwj31wjrHAakjtYaVMzKRVTAtX1puOf5VlMZ+5dKDG69MVXtGz5UQXMApTo3Iu1kbLzCYKCVEd6bpyjaXY4MJVurW6clrxFgn6t6MSKNOyJRwX6559nHS7dY7BAQX/5p0pTAfBH1ZFhEvwiWVBkyUSdSWk6hUx2bvmUHwNVVKkRa3+3vjcT78O6jDZB2rhMXmYpJ7R8rPYJhVq3wSxtUxvHs17dhWdvZlHOamqhLasbDJaygdL8sjFBeJ7CAAXuO58UiO+QBCZkG5RT4obFXKI9Yu2noh/5XKAKgYQ4Z71sra5yEPeQiuvfbaqeYx8dMWFpdi1d5A9sLK0UMPK+ibZbd9YQVsbU8HiMLw2fBAtHUB7DYorJhOuM/dcYm5OIM9BE+zgqmFh/VgcbH7qjs+cFxhYq8Am76LeSD33VPYBx42W4RpIweCJtnYunTAjsGZLwsrD+IgjGlwPTnBk3MLD5b7HD1fJ68IgRCmQAhW5BzEpxUIS29QCvBxQx0U1LfeH7B1ZC+HKuVBWu6wh73vFwrGqyDYUtr3kxgBTrCLNfc+bXF8ot/eIRREXlvuOh6Hfwt7Ha0rfSg/+XbhUxtCHsIzAEFAKiD3OFphyCBzbn6uDKL/BC+Gvk+frdVpzAPrBWBjKIR9iRyxP/Y8sNcDpSB7kbWdlVrSelH4oJ3shUG8rUYIyyHoXGxl927vkUIuCANhAWZFfT4uLsUqF4Q3gIhfwW3OdbRt0gGy0PYZimA5iQKdBmVPvBVFKHBc5HvjrmPlhu2V3I9cH6HQ08mnnXoc5D7d8Gyc9w6X3ymCMhGIMSCVBORjFASFh1hUeZmEYx2Qk8nDUYZVgmsUiNDnFXsQhH4i3HMrjrsjVp5EaRFigZsJsWbI941yirKF0ZReJM/E20rK19YLJ+HTxF25ZCmvs3LxopsX2lXlk+kWDek5i6aLL2Ovj8fAkHwQ7lkxVL4m1MUqydiqaMrpiGt9epS0J8uqyJwiwdU/brj69KLClRVszaR9efDCJSg3BlOrXIIJfUEEFaxPNwhncj0TYk3HSkm7jkn6DhC9V1XpVdbReSLI0gPpZ9W1lO+eSNF/i1KfqUrFtHiWsj8ldax1Uy/AW01tqxGCp0BDX+YYBb50aT/lubuAD4QoPRCq6gfeLFYuJyvmvFLDK+4a2mtAv7eKA6k4Lity436CZLzjYKvuuQojBdzR4QQKJ7KYrps7+IQWuQ1LKhgA6UU4Dk0eBN4TqpLF8zyon6nGS3MROOWUU3DqqafiwgsvxFOe8pT5Pm1hkZlmh6peNNm/7EkI4hg8uZcabMGzWMsiOfd7OJug3BYQLza9YOwFWBmYrkAsfJNbBHC+1ppp3E/wJBXlkFpfY8tpWEDDrimpANgrQAjWLm4w2BU75CG9JcpWZDk5Ek90IDf5CeutsW7ofOwQpeWP9oOH/yJBAHDBgYKgRuC6uApGP1lAdvmwtTt1q/WTKv9MPAR8+e0TkCJbybpOsYVauu0RwXkfFK6uVjguDAAOZCf6askTwLeHsK4LSy5Arv+J/F0+mdfkx882dR+PBaRQEuP2XcooyQUvaAgoTFjO+d7g0xR9Uf4nrRfEQRjtAspuq2HrPdl+4wXx2MtAvqdxvwG8W6lbRIZYDWJPpewyBETxDihJVz5TY2xfMhywzZXPm3dkfxTPSgjkoQ7hc4PwnnrvDt+uwT3ZBjvkckuB3qVFFKXrl6x+8cXKK4g6xO9P6Efs0cBtECsVYjhtQiyQZ1E5bPLc16qFfs4rKqtPv8qbQN43SAhwo4rvu3UCMfz9fuE40CpMztMCKLcPpzOIIlJuDfY4EPBjHTipinGwKj3D4kcRPctqPYscNwaVz/VhbtcovfjekJ77LmlPWz6KP67VA8lxP/qi7oYhabon2JRHS6/pvqZ8m54Hf1aRdkvPh0Z8J0yF5Cp49qirZ/iu6SqZWt2ntljj1c+nYeRTrVBjlD5gAZ3EmJb0R9duabr1fadN+/LXSZ8qJSlbl8InBCf0x7WUap44jYq2EF/b6SasjeCNWWKbBoWVaZgPuRUSxVDVNDQKVFdyv7KpyMzdN4l3Zs4gcrHSJpzmIvCqV70KP/3pT3HyySfj9NNPx73uda/SaQuvec1rcOihh46chyoPWlG0mhRGo2LydBnZiAfLweOAVuCFZm8Fc6k46zaItw3wnv5wtnsqKBX+sEb2BgieB5SUy66NOZAeOQsAp8PWa9Z4S6u6sH6zdTqyrMNF3mcFiLN+e02vtNynMQ9C2tG59CwUes8AOOuUEcHv3B5ltkImWmpWoNi2KUAuhkBJ2CIKwpIX8HMnwGZW1UJ2kRtH5o/39XulDcoCkEnSzcgGTAQf4Wj4mDuhPBDWbxn0MVJSeMHenVAAmy5PRQaFF7SM2LsYhOxkG0pkYSfXHuyh4drV5MjIqmvs3kCOeSAFt9A2XoEglBWRFcYAIN5vH4JC2c018li+EAE7tK/Y4uIUK2H7AlxfNiLdwj3PzFnyOz5V+V6FssbB/OLo8SF9/syewNABW4+MewdcoyAOwiiVQrGyhReB/AxMRtYTxthFJUfRTgNoyTSll0dQ4sgBSgYKdKorYckP7ynXl1y/DB4HIV1e0IXnZMh68fidv4QkLgbfU1SkZ9/gdAzzecjjAUl6vVCUPj9LyJ8+TTcjGOOz4PGvaqZIlRk8PlULjbI4NenJe4jrK29sWCw2ynNcnjLBWppcEfWNtAyh/HZkCUraurpVWvLTsnjFKefMnghJkk4A4vEatQtwTpeFLmcFbVxzy3JWt3nwYpL1L18VnqdIo2rBP4QQUK5n1b3pu8qf1oqc5XK6O8JTbSsw8rhDyae8LuDiVZdxWOLykegr1WKmxED2teaVYGP/qrw3fg/GqaNMoWrUGIy4K9kuFZ4LJYnXKxBib4dBZSj3qVLe3C/de+B1zLxtKVIkiqMiS1lV9WH3GYVxLszVYX5iZbP3kyD4+ZTHyPKxuHkYP8d9vOXKNCoHgpFE2dzYf//9p5a2Kg9aM/6QXp1sED1kXiC70OajAqMz6d2xd3Iyy9yiyAYYc/uE/YDL2xd4icLu5HGguEIKJH5BZFMoYN3ajLFHghWmAFz0f+8O7KcHu3DnoH0klAbW9Tpe2PPUw/EI7FntVvPMkdEJqXdDIdokjtPA+fjBH2xJKmxsAipcvIOOFQnJHrEWu85Ly3oeB5QDC5hBmLBzAlu77akLfEJFcOEkUXoOiBin4wWKRLCQng02fXd6gVwHsaKb3NYVWYfUYi0XbVQgBLYS0Zpd3YPrrVAfVKUt/vNpuXLz4p0t7JmzGHKsgrAoJvj98fKZCiu1VALYDshpwG2NANhyESzvHA8h9M8odgNE+cVEbNcQFLZcgC0ixp6SIF3qnRAlPSdYORELof618nUgTpc4NoF4/cCLmlB/HxeDlR2lNoePnWLYs4XT4iMR/T3imUbvfvws/f1+YcT9QbRL4lZc3uufpsveCyHgHVuS4IT70FZxVHH4eqXllO0sxozIU8CIfyMhVhJEZRb/tsJqGCNDFPIqASEZ5ylsAQNVfO9TdTEZSsmF51FelJP4vomqOa1pEYqadCn5WfW5i1iTKHNi121um7r0GorqPRHiz4NQXlX2KIHwmS1ocm1SxmHKWVv/qnK0+b2qXIPSlNcO7hv1SoN29w+G2iVTehbD1LfqOx73hFW45IEgrvXjMKuRR697lEOr7ScS2fZtyyDHbFeCYbJsvJ7npPbphhWiTKVcl0i5UypLGG/TdIJDGW/DHP1pWU/G1LuCuwJv2xWKUQIIuZhb43kwxHSpb6hmz59Bdan7NsxZi8Y0arUorfTqV7966nmo8qAtU3f7SRe5hEKcThAssanywO0TdgHd7CCVwY59wiqYWO3tspuFeXnGfe6E99gikLEwBg7qZoMN2vUfldIHyMdOYK+AaLtAJNAY2H3QtjZsVef9zyCrAOHJg4U+eT59OEUguHb7NjWAFbDsVg7bhq4OxlnYYZK9yjIPK0R7xQcJgR+23UMQQAJRJ/I88EfDSSWOEy4LL6BXCMksAPnjqsgH1vOKFnesmN2LLoV7PlquylJty8wTND9n42Jk2P5j68I9CqW2IQRvCalokQJXAVbcBCGRf1qlhA+YKANO+vTZCp56HHAdhAKBRU+3BzqzL5IItmd8unEeQriPninX023XoRxkMvsekGwHtkawciKUnftQaTsNEWAyt9jJYbfUBCE5ikqIWACKg+NxW0iXdTcqEKziwD0Dfs72qMIOgmoRUR4h4KgUxEN+9t9BIQO/eGQFkLXM+HSFh4AUvP07IJQpfrzxbeDa1ZCXH8rvUbmcUbDRCE4kE2WOtDTl9qCg3CiVP7nP8HNs2l8oPCPSMbZqOUS+vHVU1LPBe6Apr8EMuJ4a2txvfUrSIOfsK4NWtsivLE5S6fNyHWXqVfUX1vPIumpq7qlS3NSVVIohA6CKPlBDtZqq6o72ioNmJrEOolIdm69FKnlXlKlBeCo9A/t3tQdCimHJ0P02mgIhEgyHVhwwQwqCrg97RedIedbfQ74Nh0lNKJZrn1tdX232buF5L4y/o/ZVCj8iD4QsTE0E8LYFIz2g/PwovAb594Flah7nR6oNr0fU82Cz4oQTTsDKygrOP/98bNiwYSp5qPKgBV7omGYeibXTigV9d4QfC649EBFkMD1WHrBbvz8j3fBRYuQFcVkfkPUMCEqJWBAPQo7zKXAB2Qq3T70g9xNwxwhKIYCFM3ZhD0EHZXC60kBqXAR34jPqnbO4swxEQR8hzr0Xwr0XCoVwzIO3bUOrNLB52TTt8XOxEOEFS0gXbhaApKAcJlFrnbbxAuyn9jlYpQjvqy6i8vnjE1PvAJG+fcxODcHt6RosM/DPSU66nEewskvFRLCKR3Um6+zP8Q4MZS74oBPgKtomKGtcWhQLcay4sasYirYxeCEfRvR/FvAptEGFxZ1/9+eyw554URAfPykXF5lVtiSu50GpIvpMIsBYhY17xvwdezdEQi4QC7SibUpKBYBjEoAyG+RJWqCTZ0q+H4d0Q3+J043jHtgSsU+J3boEr/6T+H4hvDFKzxKhv5BfPIWFOTm3zfJYKdMRCkSRXnS1VwgBrIwIuZgQAyQqT7y9IBZOEuHBOO8atwWraoEsPRdKioOaBbxVHsI+09K3colbLr/LtDLdSEHghZx6Aay8KK+6boLzGYVxMMX3Mz8WlAUCHqfjBW5bIUla9Eks0kVeRPK3mrTjPuLnjmheqEsvRX5TLwjVl6E9o61LhhUik/q3vaXy3aIomXplUV0chornNBShTO2FXyMeV1A6xDlXlWMUYX0eKAvm8b957z+i7+QYPQ4lpWw0hsRlCx8ln1fdH10R/q4i2h4ReSBwIGYApXlKtImfP1j51Nw/qnpUucyj9HW/chry3vlHj2qsZ7vttsMDHvCAqSkOAFUetKTtQmbcPNy/3IBYEFvtrbKAg+xxkEKicNRY5uZEK0yTkx/sh+n+qyAqhQjosYt4WIQbF1HX7+8UQfvskXWcokw/WF3jYxTjP3IhYPyCOljVvZeDnyAoqUPiOi+sm1JgYSWKPG7PBrixbZWxECjmmMojAoXQnWpyvTBuwndeIDRygpGCu3T3r2oXt6h284+tA7dvOP4wFWLDvVJAEe3i6if7dRw0L0yE3u0/WfAFhYS9R3zq/x0W4Ah5EyWKkGTStYWJyu3TpfgzOMGe13UGQQinUpoc4E8qH4qkHWQ+fBsf02SfrRU64RUI7N1jix2eu1eolIRO2RbGCye8xcAmFYRQ2Rd8m3vFStrn4X9yLA5uY+PPDufAp4nyIG2T2r4j7xTPTwY1pOrlGvdz3yY1FvJ0pJJey7yvNX1OVenLb7iHGK/EcmInP9tSacX7XaE4qF6MuVgwLaxEcdvGdai6mjHhrMOaa/l62WjTnb+qBcAaobHCBT1eyKflrsHE/wiCYHX7UfJ7NaHsoZ9XC6mNbS/LLZU95cI3lGVajCrYDVtOOfZHE6u4oqrfENIRoFqBMIrygO9L72+rQCCR3SDlz5wqDpqqG1Wx6V1KIxkY8W5Pot5V7eg+q1JaOO/L8JF8/0xNldP5Q2aZ5smfuVUGUXxYDIXbeO1OvhXDKQ3lbMKaLR4DJ0NkHGrt6aMsAscddxzOOussPPOZz5xaHqo8mCKjRDi1QzOBKLPHG9IyqgKlhYWmW0y7oIJENjo8vBXc/p56HlgrfA64bQsgDsSYg6jvxxoyuVuw2kBu1lWd3MCXoaBOvO8b8OULHhOcZnwknlys2X3efAiQi0uAHBzRniiOqcCCDsci8HEbRKBAe7kV+ojIO4UVKJyrv3G/O7EiWthYIYTTCwIhH5MXYkh4t3XDwmPm2zPsjHP75Eikj0I829TrIAi2rMAhuKP2QPZZ8LYL5z0hgx4ERQc/UwpCZ8X+exYuAbYgFyCCPT6J4KzjLHhzL4q3FfiggFH/5MdcCOHSuZ279uDdpKX+E51IEdoklEPuc7QKIYPMn3bBkzb7sHghX1jV42dbIRg6bwz51DhokpVDywtI6ckQhHGplONG55UaOTGcEB0JhSLK2ytMWMEkhPxoa4EvSgEWgmR4ROM/iccEiHRsXrGHQMgfydqy4GUVQtDDUqsg9DlZXpQWNqEG5H/3Cy0ilK6WSpnKZ8jbfzhFF1PFlbq8zSBdWKaKAzl2pXeGbSx1lBQHUZmb5wwKlWi+tsLzol7gDbSzGlarW8q/V7gZew8Ebv9qASV6fGhyuw7blqyiqalkSX6NQj57NJTdfWtbsUpJIyWLunIMYNy99qvFuBbn4RjVDZtFyUSkjPplHUFxZ3+z6dSNBNF9dek1fj85bG3ZAzAVwAH2T4NbgQ3ub7wGMSHdqdSDxBtpFbPw613Ok4TQHq60t5MY92WyzWNnKTSBGHP96UvR0ZKuXXnc8EqBkI/tXumWPvHdhI5zDCWV3sCLh+2Bk09zETjwwANxyCGH4KlPfSpOOeUU3Pve98bWW28dXXOnO90JS0tLI+ehyoOpMmxX5EUFT0pSoA/CPosmzgQqRk1yx3DxXnX432PPgLCQl3uxg4AZrdy8SECG9xo7F3ATBvNonzNPLBQLZrHrf7K4TS3ARtQxVU5ACno1gqXIw04sBK+Y8dZpst4ZbAGP1hI8OQpBXPznpwVh/Y7qYUI7233nWVxlX06rRIiXuKkwGILJARw4kgUxZy7wecs05FaFWECJ6gB4YcrIPL2nBh9LJO8QdSUexoN4zm3DE7dxdbICskufIM5oT/e+BwE21IvifN2V/vxuY3y6tg+xsgWIjs+TVnXfVyDeqfi95W+9m6KL4hwC+EVPNUk39JjQv0XChsS7xP1dBD0MrefLHZQTUuCMWj6BFYnklYoG5M7VFiVPhFhZ5rq28ekjWGRqF9MlD4lkDEjvcP3Ht7UpL64iZUzSt+OmpsToTfALZsqidx/k//L3ViolaurJb2vTNdV9rA1trqx7TpOBKv5V/j0WxKNrKoUXeUlFX0DTLeHb5lqn/S0t77DpNaVf9fnowtWgHjU7piX4Nj/xqaTNEmgjiVW68cm0qcPqKVyi0lQW2SD2rhgh3amQ5hDmRCOeR/z4KlwDhspS3GPiEvj1sBT+ZcOScUNc3DfsdF8zO/q5fpKIZ6meB5sVT33qU/GJT3wCAPDBD36w8pqPf/zjOProo0fOQ5UHbfDWvrESabHwBEJALWOPTix6FZ4HcgFuR7bMZOAjZAwMOoA/WaBsCWOxwyoOeNuCPObQW3adhdXu2w8O8yGcofVqYE8Ei73fBmIk8NGMVel73Dhrt2RAOFfzEY1szxTCjVca5HFcAu/+H7crZImNzcuQi6xgTGRlCsJa4esgAw5SMjCTcdeA3cVZ4CZnl433mQeFBKdfVq6wYGTcVpHUqm734hVBhwSEskXKFBfXgsSefhlTwZXHgIMw9mHcMYSuJ4KkVpyqngELtYVoO/vT+FgEJM6Y973LzbxSMAzKJqRt5J9tECitrGf7FgentOUOQmEcTFKWPbRRyCvsVzTem6PwRz9ZRV4IRshCbRocMFYClT0yjFPCGT7pQsYB8B4Irh5I0nNeHuKh+OcaPmHFIi8K2YuC/PIrRQbajIRxPy453wuyHio23Szpp4k1nxA9M/kOy6MaUwyAcCIHxAKoPJZVw3mFK32dZbquoWuDeZGtd6mcVM7b1r3FXOHbM5QzKne62GsbZK3UJ4ZjlDuaP68qMwlBTSjNBpQlEhYqLfpNZZTPreL5eKVvmMMGW1Or+231pcOUdzo0eQYM/9xtivHPScGimhDZ/POZloV7EqSKhVFTEUfoDoNvo07yReKd49t1Wp4CBH906pTTDWayujnBNPb7dlmTW2a7lNy4Hx8dLItAbn5M822YG/wcWY1cywwubnlcGl9+mT+oetoYO81F4KSTTsIBBxzQeM397ne/sfJYSOXBpk2bcPnll+PWW2/FIx/5SGy77bazLlJMbQeNxbng8m/dzjnIYDw4WKnRLtpZsDIoTCEssPFpC+xmLAXtsJiX6Qsh2VnoORgjxw2wA5pB2FZgIPf1U5J+vLeea2D89yEmPk94/HkYANMAdGFRzwIK3PcufWH9ZsuutRoXzvoq3d+5+aWbuVAY+GcTnpQXckDewyHUBaL8yZMm3yq+reV/4crgIBms7KE9jalIK32GMl1um0i7LvaRu739XjgyscY8fZYk8uA0w9/xHkGOC8FtwoKbnFSjCPr8vSi7LLq0dhs3Afs4BCTzCaWXbRK1T2nmkHU2vm8azt+vFbmv8nuVPM+o7cI/bOA+46+X/TQqi5Hli3tHlCrFn9hnGDxTfBsZ6ckSJxP6RbgnKnRt+oBUTKRJhw9C2lH/qxgTfZBOArcKQvAqvo0qy1fRJKUaGApl5r2x0ZUiXUq+qi00t0kjA8SCqhWM7G8N6db/Vv2JZUbCWKs6Nd1U9++qe0ZB9uuq74ZNtyk9gT+5JPpwhPxWg6a6jCOgjtQ5GspR3XYj5VKZ3PiKA1Z5j/+oRa38P8Nnk2hZO5eQX/9F416S39AJ1yHTlRaTAQmWhfh2RHdFCgQ/S0fXRq+sKT9E+cmwJYrnOZlmqvAGqsemeRw7xqOAO5ltwmkuAkcdddTU81go5cEPfvADvOENb8All1yCLbfcEr/4xS/wve99D/vtt9/E8hhbg1fr+sufhvQL6iMvlr3QYPfxxxZj1qyyld6KwpndYm6cxZ4MTOqiDCRWRj5VgGCj7jO5ywVh2wI5q73POfNDqsyBSAR65C0S4FgCVtDngI92X3+wqlsPAW6PLsLER5DKjyhgYmr99k3OEXLtvvuCcl9a60YfPQB/j61DfMRkqEcqWPIA7/7w8YqunKnFJG37aB87EqtyFFhQCsaFm0fd/vgo5gELnPG2kRAwMoig4ciqwi9cua2scOtiaIiGStsevm0SodBPZB33m9yGwK70FMuRkeeFe55ScE6tq9IDwdUjisqfnjYiPADi4ICxV4+ti7Sq81Gfxu17jMRlf1e4l5+jTJeRezf5OMjgz2P7pTzpRKQfxQtJFVuyDPx+wsnHzjOJ4N65ZE9khedNrYDs0+f+kS5uhNcGED0/fkZ+vKuw4ANwYwL7p7A2wI4XIuGojHHfbhLwQgQVm5dBtVVYelyEXOLy8ndZxbVNpOVL3x20/G6UvJhZLpaq6zRAtVKflr9PeDSMlFaaLqdZldewyUmBqw7XFxMPiVFjH7SxvFbt0R6LufEQkB4MdeuutqcuiDQrns/4tLcup5Tmcr8uc3PYSOk2v0femOHjJVV5ATSlbq+lJP2qNXYU3wDeZzG6385FPO/IMoz2nEL8Gv4gUSBERgGTeCLUnGhEGPHdyKs/LsVQqHl/F8WkPsf86U9/wlvf+lZ8+ctfRp7neNCDHoQXvOAF2GmnnYZO6xWveAUuvvhi7L///vi3f/u3kct0++2349JLL8XPfvYzrF+/Hg984AMHeiS0ZaGUB7/+9a9xxBFH4LzzzsNZZ52Fl73sZRNKueVigfxf7S6tfdHtX+mxfVWB7oJbMgt9QXCFFFqlcMa5e7dtt+AuCd486QahxboqsyCZunjGeZCsA4QQiyC8eS2yiGpvvKWUKtMP1lwWzrjcZcEYkIsunmRiQcZUxTxAaAt5L08AJa1z1FIFwraFWNCUqcMLyfyngCy57B0mLQM4sGZseQ938vOM74nnkNALWaAMbRSeoT9hICqZTL8kAiXXAl6IJxL7+7it0olUljvOryqn8sLeiDpVeJVw6lKgTRQe6VPgVMMytG5ne0iPks/9H6GgCA+O8wm9tVxuhHS9cquq3eJPjEvM9pUQF4IiISZWP8TVF+lWeKuwB4I8zrOMqH/0WRMhXZ9l6TZut4rylZIjX+7KvGs/IvFLU/mr8p60NXwtMWPFRKvP6q5Jx5Rh02nKgieDeRCuNwcm4bUxbhphhdA2v0p1DvebVsLgILVIOh4PyDu6jwszbL3GoORtwPNUsnYjuDUkl3GMLMW/jU+cV0hxDlVrwpTmIJvtqX5CdU9rYirBuWKeti388Y9/xEMe8hAQEV772tdiiy22wGte8xrsv//++MY3voG73/3urdO69NJL8frXvx4AsNVWW41WIACf//zncfLJJ+Omm26KPj/kkEPw8Y9/HDvuuOPIaQMLpjx45CMfOZV0U81o05XtJ5ima1kwyFEUHO2fBRJCrPGWWkxCYeD3W4XI50YMphBKiCDA+X39Ph+2blqvAvY04HQzX4cOqgdD6XEQ4gXYrRfBEuuj5so95b6O1tJu97OnyokiLi/HhBCfRQJZFK2dAHE6RcFzD0ktrowvEQT7IPBKK20WPE1NKJfdz5+hbJ+Wz6AQdQmeGb6P+HYy/ncZdNCfMiCODOT0uQ9FsQ4qtfAsrLrvWLsug+xVErdz9Lmrm8dtoyGTiaMPC3+rqdCgs5IoKJykxT0V8MV+RK/cYo8WqViBT9eXkWKFWSxG2+sMe18Qe8q4UylMXHcrXxbiZ5JWhQJEKkWChwO5tqpLP0lHbDVIroa0QkkvDb8FRtSzjFCepUo5p5wMCgS3qHJbCwYpNgYR0hWxK1C3HOT8m/Lgfu5feHl3yxI1CZJ1qVSVeLrLudkvF2dpea6pe5uVYaRgapHmqKyCAmGUvd4T90BYCOI1VvnbwW0mViLts/RGn5IIW1mOYWh8vrV5h7vjskwfLm+5/arKIpXq1YF22+YazxFZUCBAjhNhbeavdWvZGGnIG+P5GfGPAWOaX3Oo58FUef3rX48rr7wSV111FXbbbTcAwF/8xV9g1113xYte9CKcf/75rdK55ZZb8PSnPx3Pf/7z8Z73vGfk8vziF7/Ak5/8ZOy3335429vehj322AO33XYbvvnNb+Itb3kLTjzxRHzhC18YOX1gwZQHU6PJHSi+MPmteSFbN4hIIdUK3qkAK+IFEAun9o6sgHfrtSI+fx+s96nFNSgPkvSJ9/AHTWqwuHKbuKB+iV3dC/TCrdrXS7rME8RWOSFIGRaM7TcQruesXIjLL7wEvLDJ6fLYadNlSzrB7cX3ngex2zaBFQUi3agustzwbtrk282Wk68y0cQfhOKyS7toQ7ngcB4aUrkSDtqgaF0h7y/1Q+mREK2VTUgregbVgkB6bKL8U1enEBeDvLKlPAnGsQOSonPrlOpk52V52oJNixUIstxVZWw6PtBvrUhOQqiak7l0FLUFiW9l3wlvlq+Gf+eq61lON32+CJ/JrSwc60B4q1RRfp4N+D4p6uLbp9wmXhnGaSceH6XkAa+Y8J+1WrPKGyj5JE6v1hNhYszDwk2t3GsO8e76j6pHhdUoDEI/Lvel1T2msR3NbRUNAI2plH8vj63N1LfbcEx7nOI8MF4+fi6eXr+IlQnpnJMYmoj8+mYSuVZuR0g/pWSW98rvspduW8I6kOfANs9oHuae6RCkj8mmOQof/OAHcfDBB3vFAQBsu+22OOqoo/CRj3wE5513HrbccsuB6Tz3uc/FFltsgVe+8pVjKQ/e//7348ADD8Qll1yCbjeI+Q972MNw5JFH4oEPfCCuvvpq7L777iPnMZfKgx/96Ef48Y9/3Oraxz/+8dhiiy3GzvM3v/lNyb3jmmuucf9qsYiuhKIfdddUL5kpFuhJBExM9t/CnTtrwFHgM79v2lq/eX4zYkIlbxmW2xf8dgBROha+jRPGgmXUCtb2FABxh1dOBMUHaz+D0sH97izRtoxhy4L93tXdZJEA6+svFRScrxD0fYlMuNML5KIu3gop5Q2+lveXy7JTmj4LxVm423kIkFNOWHdxoWApKYSS5x+1lUnSLQAfoZ+fSyIQodwOUd38c2LSRQOXIWy9KMPpByVFiK1QzjNWL4lgeCUrcJxudfkrShMpu8inHRQKnI8QwKO0Kp5DqfwufYI4azq5wy8cUsVBaPtASDWk5N5eKm8DqFIclNMUSicCQuDBwsV/IO+BkFKKTdCAX8CVrKhhMVd1V7im6vk2P+92a6Zy2WUaZeVNfd7jM0+Lt/kT8JQmqoXF1VcgVL0jRnw7v/1qsAJhkOLAJL/zfVW/1+Uhrx2VaY9TaT6j5RHmBCRzwgThCRgy/SYFAsHGQphExkna3vpSzjNGvsujtG0yV6snwdxw44034le/+hWe8pSnlL7bd9998b73vQ8/+tGP8KAHPagxnU984hP40Ic+hMsvvxwbNmwYq0xXXXUVTjjhhEhxwOy555540IMehJ/85CeLpzw4//zz8cY3vrHVtddffz3+/M//fOw8zz77bLzqVa9qfX3ryZv8X/VfI72GBdfcHbHHC3p2aZeLbjGgCdd8+5ETs/34ZsRdYfEex1JILKMUB4izwnzhlRHyeEhfehLCPAoUMtBgFL+BrasEUOYEP+lt4BOUs1Eouww6mAg90fPhW6kIgzxlKFC4kwrSo40Qp8VbIkQbQfxtnFAGjnXAAhoK697ujt2LUxdtHXl/BEE85OCEadMJ7QUC3DF/kQWf7yhZu+sD09kmJueVIUVkt7UDru0qWih+HvaeuOHDP1mot9sIXFm4bSq2Rsi2CekTFzi+1qRHYfJ1adtIATkNrifauqGdotMdWlrB64IZcd5+e4WomvGBqFrlAPiyh0/5h/TU57aq8g4JgvcwC2JeuMX3mIokqvvfoEWVzG+IRVPk5VCXslAs1a0u/Rg+rQVbdZ9eG1Q9k1UUJkuKqzWE9BZbi+VfJdL1xfyzGh4CozCqIqNeoWDnQYovm+qz4rHSeMOAzdFEVwQPx/Bp6+HVNCvE0vmkettKshppk7cZlOvofWoRj2osYI+Qn3SagDQcB3bcccfK4Ic33ngjAGCHHXaovEdeU8eNN96I0047Dc9+9rPxsIc9bMhSl9mwYQN++9vf1n7/u9/9bmwFxVwqD+53v/tVanGqaOMK0obTTz8dxxxzTPTZNddcU3nkRckq19iB2770Mj2+RwrdgD9rXI5ETuDmSLN25HPRydm1vaaYUsAPy+w4fW+pRNiuwIHoIsGM5FAphHlvpRd7y336LBSLiLl+QUUlq3psPZQKCi65FKBK0rowW/IfF+G+ygLLgqsQ5oNiQiZKXpAEqCQxeYEZ6ZQa2oZc/VBb/qqJkIXY1DMEoe39RBtaqHkWC8+DKyWPWSwvCri8Fe9E0u+FWkMcF2h8+asel/QiCelXCMcAbCwCUUK5MBfNl/bz6PeqdJNPwxYV30Q1hD5eKjsl1/l4Fkjc/QcvQn23AScR906I9g0KBCO8ZcopDjdeBcteeRFZc19l8gP6pV+gDbo2vXPwtYOFk/EWbq1YKMXBagp6PA+tJeFSEA3cSh3zpUBoGpdXy0NgFMqrkPY0KRCqwgeOn2MVkbLAT8DldQnxNaXStMnEDJ7DPLywSNIeOmbKoFYaty/NW1+cb6rkvle84hV45StfWfq83+8DADqdshGSP+v1eo35PeMZz8CGDRtaG80H8dCHPhQvfOELceSRR2KfffaJvnvXu96Fq6++euxTF+ZSeXDiiSfixBNPXNU8d9ppp9ojNViQr6dCWB3lGgJkPANr5eZAegBbf/l3qzDgGzMnBLN13F7hk63MjgWosH0hha3q/kQCka4/6SERQ0pxAmTcA59HENvALtSRBR/Oqs5CYNmqXg5iSJV1iOvr8jZ8IgIfO8n1CYKwD9Qnti+UhdkkB3LWeu/pYNuIj6SUAmvaVlHcBsArRsKRd/GkGE4qMKGt+Ep5HCFvR0lO7ZACYNRG3N/Z1c8J+2l9Iwt+0gPqhS1WtrALfUd82nRHO4GWokCbBH+UkdQzpMfuSWVLZK0O7WNcunzsI1Em4gakzu8UpVtXVv+dP37QJB4IvGUkWZBJhV/pWVa2CjjwoE2bAz9W7b/kMok28e1S7u/cPhahSDRNfSCpf+mrpG+KU0AGC6dtx2JZbtdGrQX4tv1x7WHE34GmJzlYNJi90FensGq6JZ13Rs25aoSYMVVHxSXvd31U+AH1mIsjGt2Y0Tj+1lBxrHJl+vbi5NMpbCdxwXnr5tTK55QocdkDcmgl1YC8QxytpnSd5+rE+0TVXGNCDDDD87wc0dqWgSp1uek87K/l7ytWAaU0astAIw1Tban2MlzbTGMW5vQ+9alPYePGjdF3dacTbLvttgDsUY0p/BlfU8X555+Piy++GJ/97GexzTbbjFDqMieccALe9ra3Yb/99sPhhx+O3XffHXfccQe+9a1v4Yc//CFe/epXY7vtthsrj7lUHswdLXroSJ24dFM64FD4I4TaIHgGQQDGeGHFzpu8+GkomY8KXycMuzwIkQcCfyMDx0UTqlccFCxG+c/LFQ/CSnSigDxajoKV1It2cs+3tOBXN2zyOXmB2JbaTXCUxoOQAhTatRVYWAttZz0rEE4Z8NeHCaPcRuVUeUFrP2ELeJjcU/c5AuJ2StqmdmEbuzG4ele3ZypcSuVH3R3pRD6ZBVfSB/l30Wbx5WkfbJqKZNrhs9homFrG69LzPdh/4l9T7yLA75VBmne6HaUt3GfirAxq9hbEeST9tqo+YRTgdke5yaK7atKj+FsTGqMFbZYT8pqylUypaugmS2vdPfzNrAVJJP15iJta97u1RI2wV/mI0w8n2xiDetXMaOUNsoqlH/hsqi5In9uAAXmovNN8atL1xRvOb6RNy9bPNenYznPesCNRXQmqFQjVyrj01mpfv8F5js9cvmdjUtAUti249DZu3Ii999671T277ror1q9fj2uvvbb03U9/+lMAwF577VV7/49//GN0u1288pWvjDwbbrnlFnznO9/BAQccgFNPPRXPec5zWtdj/fr1uOyyy/CSl7wEH//4x/H5z38eAHCf+9wH7373u/GMZzyjdVp1qPKgNcO4rrZYxDbsP4+FVmnF54CJcmhkLTtYOoW1VsJtY5BwwERheRXCcKXngT/WreyBEB0FGQmDwpruBMvIAl6qNwezYQFZ1l0KZbKFQpnD1g4hGFdYL1Mrt49VwEc0mvRITFdmV/a6tuJjElnJwhrxkgcCTFQu3yZpG3E7+LqEkxXkM7PeBoWzEMT74+NjJkuPNWnLsO2FAztKRUStrjx5lnFMAiAOvOmeAWXcRZ0AWxd9WHoCJBWo9C5hoVvGPuA0qi0f7T0a6mAFV3xMZu21A+JO1N7Z4E1Tl1d58Vi2ikjFo8gM9W3SpBAhgONjgJ/BoOVakl5F2/j0fDnHeWbpvbJdZ2Exjd/zWdFmWT27KP+bO6Lfz0FfGRu/pdKOQBV282llLP494fyiOq0SrU96WG147cpHFfKW0GE8EMSR3QNy8nNNvGfRtUsWfRZUGKON82VP0Lg0cXmzci6jeMJMjMWLeTAvdLtdHH744bj88svR6/WwtLTkv/v85z+P+9///o1x+U4//fTKbRKHH3447n3ve+Pcc8/FzjvvPHS5tt9+e5xzzjk455xz8Kc//Qnr1q3D+vXrh06njoVSHvz+97/HpZdeCgC44oorAACXXHIJrrnmGqxfvx5PeMITRkx5mJe+SthB+bPo94bFuhRYRdqRfpVgrehe8AbAe+LlUYEGQlCVqRDq3JrKAeKSGAgUdBfyHpdqEMArvQ7iFjBEwT1e5FvXNlFwwahO6TNw6hbn3WDzcW3i8uS6yHYOVnVZ8nJbeQ8J8PMgpxCPPRD4eJ2qSTFSGNRUOigoyC+7WPOeHt2TRs1Pn3ftcyCxLgF8W1UvvdK2R+VVVTUJwr6tx6ClXagBVV4XVEzVC4Pq8iXP0j//8h1eieLjBZjku8SKnXQ/8v1o8IIoeCLU12dk/MAh0m7ob8MnbuJfGwsxZNoEBK3TKAzKdwrtPecMU9u5tRQrE2KWT3g18m7KY1bv/jj5TrPNhklbrlu8VaBiVmyZrUhyWOLWdAujiT7WaOXdeF3Zx1KZKGLJPMk0R+GlL30pDj74YLz0pS/FG97wBhhjcM455+B73/seLrrooujad77znXj/+9+P97///dhnn32w8847VyoHut0utt5667FjEwDA1ltvPXYaKQulPPjd736HCy64wP/+lKc8Bd/4xjfwjW98A9tss83IyoNBHgLNNw/SoNZZUZ2l0sg0ROwDtmS7Ozi6vxWIjbN4s5bVWZRTnUZqOa4oi0EmrKtlD4R0r31ISyoOnMdEJNCG9Lkd7NYBVwZX3lqrtxdARSDGKA/hGQATW+jd8ZC85zu12oe2IKRu4tVWYPIKBL8Hj2Cj5QsPBOsYUvjkfDuIeAT1BCWAIT6qMbUYx21DEOl6L4TyiRqVuREfNZkJpZEoSuIxMfyoK+tStoxXeZFI75I0TxKafiujy3gB1eXzR5WWTjGpV1/IeAHeilHzjst0B7cEeeu69+ihDA0RGYfG5xMd+1TTNiM+U4sZ8f5BKU9zOVZWRU0s3RlYB9t4Ckx7S8FcbFkYCL/X0y0rP4tJ5VMd4X28FIUGfUaMKTnWpjq4rcL4spp9dpQxh+fKakvyiCJ7TT42xcF5kxj55b2rDc/h7OHAc1AmrojnpVE8EVKv1jpPhLhXrYWxUBmVgw46CB//+Mdxxhln4Pzzz8f69etxyy234Lzzzit5Ffzyl7/Ed77zHdx6661TL9fNN9+Mq666CjfeeCOKIn5vH/SgB43k0cAslPJg9913x4UXXjiFlFsuhIcKuNXyupJwJgROk1zrPvdH4Qmlq4+hY2Qx5QBXs8h1wkvVEXUGPJBW1c/5BHihNQi/5WtdujZDJ/wN6XkQCX71yh5CEG3CogIV91gFQKyUKJcbrsxxDvEkKj0QYit9ldBZVYfyxEPuL2Pq2zSpDUo1FZ2C2yVOIziVWsXHoMWdy6PuPXCeMXJhEvpTTR2HXUhWapyGnLjJ/xWnUZmMrE8pkUGZhLTrriEAVYsTX8bBiqBwg3h+zoNCliHYmvg5puVsQ7yMnArO5bmp2cYTQJqezSyFq8mhS1mlms3Rv6RuzBo0lg2aD2va0s9R03oL6+Yk/m6aead58TzijCou79Fzryo/r33DnBApUeTitzHNlLalHDSXN8/Q47VGu3d1ckrG+aHA5DdjjJPeUUcdhSOPPBLXXHMN8jzHxo0boy0MzN/8zd/g6KOPxn3uc5/G9L70pS+NfJxiURT4p3/6J7ztbW/DHXfcUXnNxz/+cRx99NEjpQ8smPJgerRUHqDNS9o+rZJA7C2lbgiO5AFrjbaRdeG8AxC5s4fjHBOBo+mEArbYg63r7IHAY3X5Xul1YNOoF3LiusjJuEDYN1dVLgDSYlzhcVCVFys8wjxS/TxkoEGbRxKhX9wTFAV8feZPrjRe+ZAJUVyIxYnVuto7o044LWy6g6zTtbEP5ETMChVEWxfCFoxUuVCZUcmbJc0r9CfW+AsPhMp7hnlf3D2+b8p1w/ATdJUiqPr7USb/CuVE7TX1lo12Fv54cWPfA9tP46SrvDRGWXZMb4E66JmEq0ZdLDU9l2H74nyiVjBFYQaNVU3fNykPqhUH5bXbJD1R2ouSfNf04DVO6i02bt7l+zmneB0GoT6oV6Y0tVg7L4p4XWVqn2l9PqP6iohVZOurlemSZRn22GOPxmvufve74+53v/vAtPbdd9+Ry/HBD34Qb37zm3HGGWfg8MMPxw477FBaAw8q5yBUeTAsjd4F6Xf1QlTjNZT+IgXOWPjkSYjAMQ84ME04QcDi7O2x64FIsxqve2jwQCgVXyo5pDBc6dkgJgFnmfaKicq99HG5hdgN1OQhz7ePXTHq0489DqTwLesirZ+UKCUA6WVgTBLQ0KclFUL1pbH3VHl/FCgHxkzrMYBKzbzwzhAKhPS+es+MNO/kICNXieZFz3BKA1/eqm9rPWSGIShY7K1G/jIByK9zoroMKjsNU4a6hRQ/gyHqkpYr6T/ii5pyjEmVB8K8bIKcA6Qvifx0vBTbCShrQUHRTtHPzH99NgvkomcQLMitylYMw8Z1NM9no/ej0cJLhnWOqZznJ503JXNj9TXpCnR4qpQQad5yTUBJNk3lC6WMLxncbryuG85YsYh+AdNnmqctrHUuvfRS/P3f/z3e+MY3Ti0PVR4MAw37mg8huDXdX9qPHSYhqzSAUCAgMrmywiDIuDWCSNXHJuTERz+GIwIjncLgctdapHmBGzTTQThuiPQv0g/31eThBe148i5PDulNUnEg2jPZ8xasoWQFeROejk+NwpwdUiKhYKi3lsbpo3L7SE0NhIDfRNWihkvl+k6tckB6fVDpu5iKiT7yNhmHqsVE+l366ZB5ukaPW2tyUeh9i/v32ZT6UdPdrRZ2AKI2iuSjVCExXK6m1BmbFsvjtVmlB8LQ43O7nNY2kxZ6qy2q8RULJGhHbljK7EnnjSYmNbe0xYjXI83Tr6Qw0jsZLR7aDs6sLAgrjJHezSHyDqsGoFTPqOqTn++jvKNjiOv6QQtlgJzfWrVd0zpk0D2KMhm23HLLsT0LBpENvkSxm9/rhF8gCPTpnwHXTFQjnuYp8+HjBqv+k0HdqsrPQqE8Zs6enmCPSMwhjzMk5P67KsVBmrsNeMjfF7Eg2lDucpDElq3ktiD4e5Pn5D9N6opSW7mriZJHzWUKZZd5E7HCQAYuLPznvj7yz6A6JbXg0lYFkuT+MEx8jro2msSk59uk8bu47dvmHSvbai8amC6FC8vPuvT8y+kOpn7MmJZNIqpTmjeF7yj6cFBZqvprm7FxHOR7osdRKaORjtWrmk+rccKgHFh2+kxHEeTqMlGlzDBts/rt2I5h5mXHxNsxShzVbVX12aA5zK532r9ixv/XnHfDWptkCSquqZu7a4jXE8038tqlaX2zWlDLdeRao25lMe6fReCkk07Cf/7nf041D/U8aAGJvwdd1XzJNLtmWcDjv73ree2d5e+M9FMP7gzuagPe/y494cqnN/CgVTW4h5x4ePeucTTIsyEM5PWBGKvvivIkFwNBemZEZaZkq0Ja9jRN+Zlr8wrLuv9Xqojwk1wqzDW5F4gHkHzOfSDaehHlVw8/8fr6Taovh5zqvpdtXxLw066UpNnO2iLSbehv9bEnoszF58O0UdIO3NfY9XYKlKwqVPetL9DA9CotTlOcktuNzYoy51Cbd91ZU1e5uw/2NZlmqoPmh2HTm4E3whCrk9Q7cpLpj0ZV+nVtWFV2HqFN1fTcnG3lujXNu5xYyBFwx47VvFt1c3cd8ZzYvK6oXJjMiMWcH4kmv81gUXQsD3jAA3D44YfjWc96Fk455RTstttuWLduXXTNne50p8qAjm1R5cHQtBEKqib44Xolgfz+uZHuM4X4rP6omLD4TkUFvidxTnFH4Mno+HycYyycIhKOR7NUNykFWChOjiKM8hFH9hCBTKc0zVgFReHrE1noG0tFSfrwx/eRayP4oxvLDj7VRz7WER8PSOSO3kSGMIWNazdzbeTKbcgFxjRVqYtnWrE1pfpZs4Ioi9oqKHJqytSm3CBwPw3HlYZnMFzf4zo0X0MVzz8cDzJev7ftVFGnSMVVl26b/FzbJOnJgJiNKQylsGvBpNNbFJosza29WhRlCLyL+jz0rVEE6WDkKH/LhopJk9XkKbcpTDrXqjxlDQcpzcMaZhrCrV2HujnMiM+mkmddXWLlQNU8yusef90QXhzpceANFh63rnSq9YkbBOrWT/Y7ZfPjqU99Kj7xiU8AAN797ndXXqOnLawqLRdsM514WSAG7GDIn9Zf779N5mqvCXfHupnyl8mV1YqD6B6J4QnFOIGyasKrLnnk5eAENipdny4+Qjnjg+lMCCZUesZ1/y6VqLqdbGHr7xElbyaui3VqEJNei4CAFP/VIj+mZvFT+ojqvhBXBItA3FZDvjMU/7Nse2hvTRj8ScUFpeTt868dI0ao3mh1anjnTPpFlcWmHc3KhVLS46W32dLQiNM2OCqbMYvcuVa7btPMb5S03Tw1ouw6TI5V08AIU8PI+PXrMGuBMdqmXYngjD8TTLX1mm6xsKqoyT6sSac3K0466SQccMABjdfc7373GysPVR60YpCVWGov25EKjKnAWa81HuyCbVPPWM/pPxt0mz3mkbWvMh0CHz9oZHqUWHZL2xZEuyWB+4z3aGAbbtm67q91lvvytojB++AjbTORTZ8yK8R6j4CidGfJ1V/uvRepxxbo6oZt9J+ojafQFk6/fBSkTb869oS9s0oTX1W+4IHg85yQgowgPRDK39a3XZs9ylznGovCUN4foW3ry9uUXsvy+sVOOf2mY0irk0veOUrboeyBMC7k0i3nNQ6y3tOxlE0P9kAa5d2eT+p8nSa1P34kXyp3BOza6hsKMDnfuYkyZn9qVSceEwx7EbQIQWb4BK3ymmUwfOLTiOOz86Q0jXnXzWGTn2tGY9CaragYpge3VbruMo3Psmn9ZBpPaqg/CltRAkcdddTU81DlwUjM+uWtF1RLlvZRiuoFLpuGj3HAxlVZCv9BGNTk36jViorEBhy9FPZSU/RpWeJP/2GiH/GF0gOhOlfOu71bNdcjyb/26qCgSBMnkUZw8KBEgZMI9IldoDYQofg7KG+ayhrXJ012oBWay5pavp2Wv+7p+zag6Lf6jKjueSPOJOmT47zNTT13/MVwizrF/2iRJCULoTZ9dcR6UNVznwTN48Xmw1q0EI/oadSGiXSLxelb7eK9zCMT7tfRdrLVYNjyD9nnSsnH71Q590HpD5F/lHibeoZ5Pv543LmhLu+4LrzSq5pHK9dYdcisWpV51HGkzbNSAD2qcdao8mBYhrBWDiM8kB/4RxxNKwLnxULisOXgv1lwDh4IXEQ7zFW1R5V1viofqtTQliy8FKfQbKUvxJQQ/q5M33kgVFNtrW+GnIDv6uT23VdpkmOPA1vutHw+TeGlYefBEFvBeOtIXM7mmAppncoKhPT5VGu821nTqwPpcXpZi3SK5Gd1LiZqq/jbsIgxiNu6Od3wXX26wcsnLs+4E31zneRV7fLx73blkYrA8N4ULfKqTXdUhl7FLShGrJ/X0IqHvdrmtMg8Z65NobvMaigQxl67RFQpNkM+7fJI50R+VwZ3uvHrIsbWAUGqJzo2RrEqktLXBVV2JcHI5RisCKyawyYzN/Azjtea5bLVtTUl/26eY6PrxRq4/g55T7N3Z+neIT0iFWUWqPKgFW0EgbKud7akJWg0XVZfm2iHgxYX/vNKwaXyuLaaPJxQZ/e/I0q79l6RvleQDPAOCHvtISbRuomznE6wglfk4K3n1RNEKTW/4K9TqlR/VpW+fURV6Vf+0o6SdbrF9RDPwv+oznuUBW2bWkidfa0/Rau+WfV50ldK3jmTWjzL/Ez4u/ReTAPZgovIFK3ea56kb001bs8aU3z4MXby77cyS1Lr9TQFaZP8rMZ2tSZhf9h8mzKL13eD8xk2j7SPV7RvizKMFuiyJu9o/Se/HUZplCg/Bz6ncfqVUgdhCqctTDa5hUaVB62gxsXUXO3V87Sx0NUL9XXa4VjwqxLs5d38Qf2E6jXTPqZC/F1d+tEHVSc9lG8K04mbQKonjLp0yP1f/o7XldUiMdU0U1m7XG+tbpp8qtMPKY4y4aN2km2+b7DHyepNpFX5jNgW/t9178ak6xSntzrux23Gi7WOKg9qMf4vx7TbyGAWxw6OBonXfzLvBs9I477XcxkvYE1Q5QWXfj5qmumzGFZRPky/GEWor1/f1ecR7mybQ/ne+PNWZfAeFePlPfh9G+b5Dz9XTtzTRFFmjCoPRmRak3XTxGEqJ4phB7thrhVWVhMC3kRW/MYUBuVbZ30ZvKj06oCGoxWrvQ34S6rwQBD/8tb0EVzIokBITM3CYqDio5S4/d8Mmvgp+afMp1qoD9Nnu8XCcO8AP9MaC2dlQMMm5VGDosjnM8SuxoHpDqZde4yWfv07N0p6LAwNo1QclZrn7rMZtc1XSwm1mTJXR/YpawaiIZQsa8UDZfSxxtQZQWZGneA7TB2H8wUgtPCmmEp8nBoDQlTsOM/hg8A2pxdfmcbyX625a7x1zbwyjVotXitND1UezCHNmudRB5xhFQiJlZVM5Lo5vqA0aLJqoXhoIXhXt6W73gfsaxBEfV4DilO6L140SEG/HAiQmvMoNdFgBUIaJaJScVB6BGVlzkgLnzqZH3V7D5v6dJpYm+ct8xiUfrt0BxavTps2EWGf75zM1NZsBZns9Fn/3Lkk4+SnCoTpoV4ayogMrUAYdn6dBYumQKj3CBjICAEom9a0kQdo2+m6Za5wKcefJOuyKJhinXKlTT6D76tbE04TGnuenU80YOJsUeVBK9bQyyctRbUTeMVkXeu2yp8VTlot0FYYCz+SzBLtM4vaUbBBl3dcIin4siAsBPxKqlIIzp5gC2xSzuBxQOK7BiUDATCFmyKrhflIW19p0atJP1FypIEN65YBjeWW9a0821i0TR1U0fYD2yqUGxDeNJWXk7h28u/f8OmmC4s2Cy5Zh7pL5Dsr05qX460mQdUznsQzVQXCeJiGeWLQncMokidDUEbp81YGUa0AWx1hnr0qWuRDcIaZYcb7Kut/kycHz+domX5bBnkpVtWpTkBvWo8Myr+pnZvmiObvyj1nEMk813TsYmntpmOasnZQ5cHCIQW5mkG4anKpEyABONEe/sibNEDfgPLE2tZ67bPVPFNSDi/mIx6YqxQ6DRpgXxU5WaT/rplwfX7V+AVt5J1RVqGXvQGq0ip/7jXyoMrJqLlkdYoDOXnVafz5edckLxNrVZ6q+4aZ/CcHib+HvzPuk4MsCG3ao94yU/lgJsMUk67KahrPMaSuC6+RmLgwoSiTpkrAa/vOy3l+0KcV2Y71ajTPbdFM4hX19euHOOk663+TJ8e0xslBrVmVb/X6qLQeGfiQ2lxUryCIlJGVlzWsKQfmh4HrpzZrY6WaaXhUrBkj8RygyoM5ZTJB0qid5lte64/+q7wCxnsgDLJIV4sLBHL73/i4myZte93gUIhPB1uPfVDGunzqjsbxk7Mshbx2gJWgxZE77azfNdp7v08wKQPF5YzyEHXifxlO3yk/wtkBBqh63smxjdPyDJgca8hzaGSGewat3+XopvRdUGaOxiZYHIaKsj9ljD1CdzX7VbUnS43gN0pbDV2nwWuiikxQb4yoyqE2zDKMO+p5cB2Hy7OUf+v12HiEvLhOXF55jGOyHimtv8ahqW5t6l21jhh0DGMhHknzs5TxtcxEnsHmsO5RZoUqD0Zi2BdytEFgdaKsD4cd3J1FuuaKQQOWTyPSzFd4CSC5xKc/XGkrcmh5b5pfu5zbPreBsQ5ErqG9KlIv3V+TYE0bDm6bpuc9AmI9OChvKv1jyHwGFbs23SEzrDduDJd/ZZnHqkjjHcGbqP0988m0rGprgVYmujlMWykzj/14XvvAPLbV5JhK7SoSrfIBaJPzcL2ivOqryy+9ZjV6HptSIg8EYPIPYBW77KIrDoimcFTjYjfZRFHlwci07WXjjRSrrkDwJwWk2uxYO4xRTiEYlHWiOS9rX4fzOOB7qqz2sbtYVsoblCpBqurL91Sl3+yGluY33KkOMrbCMNaGcTTRk3newQuE+1NznIj6NkrrXe6fbbX3zekOplyn1jdGeXN9TckbYFTNRKsiACgq8lxrlMcpZQJM1bNBWCDnbNVWFV+mPDfOAtdmNPw4NV6u8xb0L2Uci3nJQlH9/BcC9675PjximxkAyGD8OmmQ98Nwc9hw3ozDeF7Urdn422Gt/+maqskTgY1Fg+fauvqbVvObehwo00eVB62Z3cs4Ow+E1DuAGccKmizGouMSK9IlOaE3pE/J50McCTR4oG0vnNtLDeQxgc3XVpmeU5KYEy6LNv2i/STirhNW6Pbpkyj24PyqLB3Vdw3zzo0qYI/6XldZS2j05FrlB1TXTxcKimJZbGv0aFTN42uhjcq27cmthTjtqvXNBPvQSE4b7fOvPzRx2Izd3DVoPTYpL5TSOmwW722LPEc4QrJVHIPaIMmDUx8m/0VmGurTzaPlJoMqD1ox+y41SQVC3eBStrLADZpVE0YrZ/MaghXDeGG1vKgZFKIw/SxYC6rLV/99U3nbD1HlI/CGHejr8jIV6ZO/o/kIpLZlt3+X02/So6fpFy1zqy/B6KzmorhakTb9SbuqjqtrgVSU+YUFIGD1BZHRKM8Z08jD/u1H8qGOUhwmn0la6+vn50mthaq9KYYxkrTLBca4+AVt54iWcxk/w5IRwogpvP3aBWhejw2zrmmVl/97Fgqtwc950HpycLp19yXXDLVtUOd6ZT5Q5cEaoupYvvGE+Krr24xikxzApMa7bhJp4Wkg/k2AC8zTkG6qUW5IL85XppsWSHoIIE6/sewN+bVALqYqJxef3yh5VG/BGG4RBFQ+06Y2ipIYta0a8hhiYTUTIq+c6IsBv2PEug3qs8M+b5fWqjOLhWgL/EJ/jvucoswKM813YzJCb0hjWmNLjXK4zTzpGcUzYLWs/hXrgWgdNquxu0X9KSn7iMJ+7YlKUfJzNnfNKQVNPubBpNNbZFR5sMYo9+26aL3DvwWDbc3NJRmFemv9IM+A5n1dZetESLfaQtJinxjVWT3iMrezJqWBGEdtz9QDYfi2apN+2cI+KL2qa+I02mv0R2ur0J+r85lXLX7ZClS+YnAKw9Wtsa1oEsqi1WK1FsLDMkkBRlEWibZegOOmP27aUx7fKgwTg+awmFHacbUF9jA+z5cHQn2e7RQAg9JvymMe5s21B9Hk9Y2q22+PKg+myuoMBFMVgqwZH5OrS5sJoqE+Y1nRKxKrTYbin1HsBbJNAgynJRYW4VFEO1Z8eCV9knepH9S2VZOFuNrSUdvHRq7TtJiE9WacvAZdO+9Mqq10QaTMN6PYaBVmgJfRxNcNk0J6G1bVocqTi0bc5tGuh80kOGPt8yGxtmgzhodSh8CJnME4hWvKs45x8h5yLq/KYuBakEQuDYqEUrect3dIUVR5sAqs9RdfTiYTTBPAaAqEyUWSbR0okcpX13sgVCyihs63phyRZ4NJPqby5bVt1eQRYP8uWzqayzzWM6lbY46UZJWnhP3bNtOk38fFUiBUP/9xvFbW+vinLC7zf4bAfNM09pF4/edtDKgS6gcI+kMrEObd0yh9PvaXak/Qhjrz/albv793xLKN3GdGzbv9PF4dntJUd6nKfAYrGQYkosC20qTPfJvXt3UeUeWBUqJSMK7y55ETT91b12LCtUpwd9RSk5JiyOOprIcAiXSHUVpIj4M6ETz1QJAeAvx3+Z5yfqnHgChnTVHj+Bd1kneLvACMd8xVdenqvR1iod5w3qmLvvCamNyATjX/lr9XPQv5PFZzMi/Q5lin6UDV7/xql2FkKxIv0sZtu1GtYGuEUmDc+aE+kvyCM6WAhmubGoFqym016ZOu2qurJjCGDXXM6gBFUOW/RyWtG68f5RpgVgL0aGuhcjyy5jVmXLsB69HoYh0TlPlAlQdKDamGtNJPa8D3KAuFLXOrumDUOA6m9AkG5Jb6GDRdWRVbIXgItCthXbrN5Sx5IETfTGCSH9RUtVnUfVGnQKi7bbKCA4m/m66oK4N38Fil+Tt4Aaz+gmE+BLY5KMUIR3WtPebZQ6Sd6/diwVbheX0ms6Kqn1LrNcbouU5iDA79eHX9XYZ5f0T7lpp6euWtn+dmNS6Nlm98RCNQ8nKsaU+bW8v16JT7+lpCAybOFlUeKKPTyhPAWTBNqs3lezPxCYVTEsqpVHxSdW1W8Vnbe1eTOo+DMAWF9shc05W14nZhE6fTvq2aSsfpNrXnZDwDqurAqccM46Q2aW8KUc6SN0C5L29eNPWvSXoBrCbz4HmxtljNvdurlVdlPjzvmc31fZ8ujScHNTL8WDN6XkMyjBcAFaX1UtmLMk7bEHvpyPqP5tRtUxjX6234MhAKFyR4HuaJ8dYP8ZpmUDrS2GMGjGmFmGrnpa2UzRFVHkyNeXyp27uCrZ7ON85p/Cm8puTDVmisggzKrEpxUJ1ttedEtS/FpLE5UVmD3pj3aKVZK2Ja85Od0lsz99bvtfL0hmABq6RMm9G8JGZiX514pvPsvcK0eT6TroPMc4j+UdGcjS3cmPTw/XKUpzkZH6G10I/aEZ66q1Or5ffgDalRDnJtthjN1hrC5PX7Ou23R5UHU8EkP+eJ9oPzRPf7eWvNYA+EwTRps6s9GgAaUqs92eMNy+WTHw2bV1ut+DAeB9VWm3bHMspytc1nEa12VXUb38tluGMtlcBa9XpQ1iRD7TGPmfTe+ro8ALa213kEjpZy2RtuBh4hA+Fr655PKujX595+DmtvgZ+aNw0/Y6oow6S8aFweZqi1TJvxOZ0/V3PdkOY92rtiUwhtbwamE66lNp4I/mL1RFBWD1UeTI15eImbBvH0u+ryrsZCgHNqnkBWCarLb4Da2C/Eqq6vSwctF5rkmifNd8Q2S/McKt3aRIe8fsy0655T5TNoo2SpTr+2Vo3eAG1cU4dtr5bPZK5d7WdtVZqGMnCazCrfBcPAWejm+d2YR9z4RkGoHU4wHLLf1j6nKT07YyrGyzZzxSzGAZFnaa0x6bwA3+bk/j1ydoMUNjJfZ6NvNbfOakxs5T7QIpkknYakhlqDy3QXXJFQYPKnLUw6vUVGlQcLzyBBGBjsHLUaCoRB1vrVYpTjDd3iqhTMZkC5qVE8jdIvW54HTWLNiqO4tYdJtzq9VVce1Dyn+mfQ1rLRnD5/E1Icob+2fO5DM610J8KsF32yDKPcSq7oq1j+ud+uslaIhWBlGMZRIIyXl//MM8l8TfjRtl/4k0nGfyGHO3Uh3FW/1pgUYZwm9/t4Xm9tlAfx3NDsaTfLeWRYRVNdKnE6bYIl0sDrwrXh1wWfO2gKQ7pOEa1ZKOUBEeHSSy/FZZddhuuuuw4777wzHv7wh+NRj3rUKpVgHt7U6fT+YRcMtQOdVS1j+kqCmkmmSjPbOAIN44VQ5yFQlcQ06touz/kYH1d7ETBrq/d4BIsMFt6iMB3mo9crNVRagUekcY5ZXcYTtscdIydkJa1lOKvy5EjbZdr1nKABxZh6r7kkR3HTqJlVpDUov8koRsZXY5Mo0rwpEdIySEYpDyVJVQv98WkObfIR6ariVJkwC7XxeOPGjXjiE5+IW2+9FYcffjgA4ElPehKOOOIILC8vr1IpRtsXNRmo4s+sSlKX9yB14aTqUL6Pkv84+dLnleVpn367Ik/oOMXK9qpPd34s06vZP2f/PkyC+Xl2a421/+wXGzdnTkwpxnPMfDzzkYVOajuXNCYybgI1tFzn0KTNgzXPdc0IR0NYg8eu0xBr0Uk9J8Pv8Xjvsn3KbdaJs2S4tVd9KnLt2bBuHjqP+ZAFpkUxpT9KOxbK82DrrbfGF7/4Rey2227+s7/8y7/EUUcdhbPPPhvPe97zZli6aTGpQWHylppG97OJuAGPq50f1uNgAjRa/9NPTfTNyJZnvyioUnjUpdtGs1+fbqV1ZWgLQlO6TcqpQXlNCl7cr6Z7YI1FZqiF3yytNvNgMVKmyerFyZkxs9jKUsN0txOsNYYfY0azlo83lo13TGTVPDcgxaECesq6TWKeG377gv+sar4r3TPos9WiLu92DWdX4YnSsKLew219UJTJs1CeB1/+8pcjxQEAPO5xj4MxBl/5yldmVKppkGoTJ2+lnxRNNvDxNN0UtOW1Vqbm9Ks9DdrfPyrtNOrlOo2zOGyqaaOXyMA8m1Kt8+Zoc39d/s0pDj4dYnxLQZzS6mr16y0yo0S5ngWLaQVRYjYPQXbcOWyyzF6AmJ+2GG2cGbb9ZjeWVc47BgOs/sPUj6J/jT/PtXSzL615hl0vzUMfHK9MpXVTZVLzVN/ZQERT+aO0Y6E8D7bddtvSZ1dffTWICNttt93qF2gqlIWpNc1Q1htKBs8kHaBCS9v2WEOZ7rBCWJp+UZtEfcpVDlNlTTyBRDTiAXWiwVPv4HSHnKBohHvmaRIcos3GSX/sZPzz4t/b3RVfOey7MSg9RRnAHFnrh2F+jx+cFyJT6URSbONNMXyb8Xgn5m4fb2OaY1mGtuNldZ343inb++b2/eS131oNAli1vhs899pxR64Dq70vKLlmTTaRsqaYS+XBhz70IVx00UWtrj3vvPNw5zvfufb7F7/4xQCAk046qTGd3/zmN7jpppuiz6655ppWZZg+C6YwiHCTwkSCDLIgP1uGfzqDNOum+pO66lLlP1uVYvzWa7CAj5vBKlVmum/X5BQTizQKKJsLhLUaBXxtb8eYj7lxWOZzO8Ys2zLJe+JFGfB+zqjq5P6u3Qa7wEgTgV33ufpXNkPZ4LSoFGT/TDpNpR1zqTz44Q9/iE984hOtrj3rrLNqlQevf/3r8dnPfhannHIKHvGIRzSmc/bZZ+NVr3rV0GVdPdZur24+eocvmmaokjoPgaprVpvR6s1uhPbIJrmYKGbXU6j5eEPjFyYjTGwEAO3qZq8pym0zJYIXQLY5zNkTosnrQT0aVh22vE4g2Jkyb8ReAZFle0rPPQh7C9iXxj71huclGmwQaXg+7ec56fUwRN7JuinM4aPOc6nXRx3jesStFdJ2GOxV0motnXgiLOQ7qMycuVQenHTSSTjggANaXXuXu9yl8vPzzjsPL3nJS/C4xz0O55xzzsB0Tj/9dBxzzDHRZ9dccw2OOuqoVuWYzEBXN6CuxkJ68m6HaeqrM4StJQvLMNsjmhQv4R8T6SnDNmHLrQoDPSbaZDOnDKySb6NZUfd8Nh9LxdispaFFUeaKIV6e1sd2TtsKn+YmlSEys7UwMLDQPh62pu28h8bLsWFeWgvNPRLtKuYVCCSurb1ttaMyrS6LWq+1wFwqD/bZZx/ss88+I9//gQ98AKeddhoe/ehH45Of/CTWrVs38J6ddtoJO+2004g5muTnOMxawFjjo7LX1Fdpcac1jI6yH3EYj4P69IebGgZrums9Ggak21ZtEdLf3Kz0kzqac7S8m/uIKhDa4ax1ap2fG9Z2nIA2LEifG8pa7wTTSIFQtf8//S5tq+Hn5UEnIFRvXRlv/Bzu1IVR1hqTJezDbyiDMQAZmJbegnU5ucTKeS/k+kH26+b3Xa77zEAvjUVWHyizYi6VB+Pw0Y9+FKeccgoOP/xwfOpTn8L69etXMfdRhO95fKlVmAikz2fcNpknAXLAc/YLsYYkV2NiGjkCLrmitdhjPRHPAJffWFslFkCB1xodZ5RZMwmL7Kj9eLrefhNFeANMxoY9MMOKXFYn5+khPRUmyRDzXNv04NKLPjPxb4MUQhN7XBV5T2SunWfqGq5hrSavWdRmEWjMg9myUMqDT3/60zjppJPw8Ic/HJ/5zGewYcOGVcp5nMXDvPXW6S3o12TAqUionPTkvFoM77LuLXqN7omrZU0f+SRsAG2DLI1fl3b7EZtT2PwE6s2tvsq8MXZQPn9KzUg3Y/77vgk/XF2tXDhva5e1QHsFQluvmuHmuZZEpy5UK7lWZz3XlHf82eJR1Ufq12rxFYvcLhZVHsyWhVEe/PGPf8Rxxx2Hfr+PdevWlU5X2GOPPfC6171uFUqSLobXcm+c/MJ+9dxMxyk7tfh3VbpNeVLycxRGqVMbBdWActfePmZdFtByEFlkSt8MujPta4vVNvXUecQoilIJC3Zzdy75bLwpxhZkR2rPCayP2sZ3sBMLyuvKxDug0YMuidFQ2hrShnReGmWemszauJX3w8LR0hO2dsuPokyGhVEebNiwAeeff37t93WBFSdL3WQybxN8G9a4RXBkaxA1T6iNrvyD2mwS7rGTVhw0pzst61Jry8EafHWGb7MqxQGwZt+9kViDD1pRZsY8Gycmq/hs6xkyngJhhPYcy+NE5NlKiCfRrNIbIHbnby5/hRfBUAqESc5Lk1IgrEFv1rEYrBSQ74pfY83jMDEmNAXPV/Wmas/CKA/WrVuHo48+etbFECxKJxxUj9EG7mE8EKpe6Om4Zg1QHAyTTqvPmr6fRGyF+e6DAy0HNHg51G5BwxaZioWet9SM450xLcbNcxhvl2EsFZPwohmXSb8vabrz/e6sBeZuYc9jzNxZ62Om650XBPvo+ZQs28NQLwjOJKBl5HJvSwHI39N/D9cfqus0vqV37jaD+HYE6gXV1bL+18+F9qhk/nqOxpup00aRAJg1sBZU1h4LozyYLxbtRW1yg5uVm+KkcxtCcTAw8xEszzLvsSfAtTNZNAsY7c9wsNRPoKj1dGirvZ58j2uXJ8bMd5h+MEwd56B/TfSdqUlXWSDm2Vq/GvD7Ld9z8RlhhPdomDad1hhakW7lnv0073T9MoVyDM2kyzQmlZ6WcT1XT0k4QIEwT4rKVWNwn5uGhX4eIEw+RsHitdL0UOWBMgZVr9pwA/g4g9rgCSN19av5nv89RM7N6Q6TVIWg36jJT683CAuOcYY+vp/TGyeNKurTtZYDl7ffAzqoZ6R5DRa0Qz7DIPOZRBulDHNkp6LUYDIMUoDOz7GGExw/G7OZvEV0ZkKKr4v/a21CBcY/dlIK2NNRSMyTF0DsITLpPs1z7rBHR7t7/SfJHN42bxgMf2x1nHe5DMwiHudYRboWmt0xnsrmgyoPGlheXnb/mocpZK2wum3Fy+Hmi+oWK2MKbrXpDkNDGVqlPynlQZreKDS1Z3O6YQlolQeDa1JX3+aJc/gWqqrTWlEejNIn2tRtHjxbkjJMrDgt6jbWez/s8zYuv0mkH/vgVF9SVbdBbdKksBgmr7p82owGw+RT1UbtO1B1Xvychq0D1X5fmc/AuqTpNOdbmj8bm6FOYTv496gurd8fWbd2eQ2fT1qnQe0pv3HpR+/nKHkOateq5zSqgNjUP2vqWtuOcRmiOdx/OM5c3kR1/WOzyqznqFlRIH1eRDkAKdOsfahZVz5ymko7VHnQwPXXX+/+pdZBRZk25P9SFEVRFGUtMU9z+DyVZV64/vrr8cAHPnDWxVAWAFUeNHDIIYfgU5/6FO5xj3tg/fr1sy7OQK655hocddRR+NSnPoWNGzfOujgLj7b36qFtvXpoW68u2t6rh7b16qFtvbpoe68ea62tl5eXcf311+OQQw6ZdVEmRgFCMWHt0KTTW2RUedDAdttthyc+8YmzLsbQbNy4EXvvvfesi7HZoO29emhbrx7a1quLtvfqoW29emhbry7a3qvHWmrrhfM4mMK2BdUdtEcjayiKoiiKoiiKoiiK0oh6HiiKoiiKoiiKoihzT4HJR6PT6HbtUc8DRVEURVEURVEURVEaUc+DBWLHHXfEK17xCuy4446zLspmgbb36qFtvXpoW68u2t6rh7b16qFtvbpoe68e2tazh4hAEw56MOn0FhlD2lqKoiiKoiiKoijKnHLFFVdgn332waO3eza27e400bRv6f8Gn7/53/CjH/1ozQTCnBXqeaAoiqIoiqIoiqLMPQXZP5NOU2mHxjxQFEVRFEVRFEVRFKUR9TxQFEVRFEVRFEVR5h4CUGDCMQ8mmtpio8oDRVEURVEURVEUZe4hsn8mnabSDlUeLDg33ngj/v3f/x0/+clPsLKygt122w0nn3wy9tprr1kXbSHp9Xr4yEc+gi9/+cu4/fbbceCBB+JZz3oWttpqq1kXbWHJ8xzPfOYz8Zvf/AannnoqnvSkJ826SAtFURT4whe+gEsvvRQ///nPcbe73Q2HHHIInvSkJ8EYM+virVm+/vWv40Mf+hBuvPFG7LLLLjjllFOwzz77zLpYC8ctt9yCj33sY/jud7+Lm2++GbvtthtOOOEEDYi1Crzvfe/DJz7xCey22254+9vfPuviLCR5nuNjH/sYvvSlL+HWW2/FAx/4QDz72c/GtttuO+uiLRz//d//jY9+9KO47rrrcKc73Qn3u9/98Nd//dfYbrvtZl00RVlVNObBAnPZZZdht912w2c+8xkceuihOOKII3DFFVdg7733xrvf/e5ZF2/huOGGG7D//vvjrLPOwgEHHIBjjjkGv/3tb/HgBz941kVbaF73utfh/PPPx8UXX4yf/vSnsy7OwrHnnnvi2GOPBRHh6KOPxg477IBTTjkFhx56KG677bZZF29N8va3vx0Pe9jDsOWWW+L444/HH//4RzzwgQ/EZz7zmVkXbaH4f//v/2HnnXfGW97yFuy555448sgj8ctf/hL77rsvXvva1866eAvNlVdeidNPPx1f+MIX8JWvfGXWxVlIbrrpJhx00EF43eteh/322w/HHnssbrvtNhx44IGzLtrC8bKXvQwHHnggfv/73+PJT34yHvSgB+G8887Dxo0bccUVV8y6eJsdBWgqf5R26FGNC8zBBx+MH/zgB/jlL3+JrbfeGoA9x3T//ffHL37xC/zud7+bcQkXh6Io8JCHPASdTgeXXnop1q1b57/73e9+h7vc5S4zLN3i8t3vfhcHHXQQXvSiF+E1r3kN3vzmN+MFL3jBrIu1UBx00EG44IILcK973ct/9qUvfQmHH344/vmf/xkve9nLZle4NcjPfvYz7LnnnjjzzDPxpje9yX9+zDHH4PLLL8e1117rx2tlPD73uc/hP/7jP/DWt74V69ev958/5znPwb/927/hhz/8oXogTIF+v4+DDjoIu+++O7797W9jq622wve///1ZF2vhePjDH45bbrkFX/3qV7HFFlv4z3/7299ihx12mGHJFovf//732GmnnfC4xz0uUvBef/312GWXXXDSSSfhAx/4wAxLuPnARzUets2zsE13x4mm/cf+Tbjsj+fpUY0tUM+DBeaPf/wj7na3u0ULUWMMdt99d/zpT39CnuczLN1icfHFF+Mb3/gGXv3qV0eKAwCqOJgSmzZtwsknn4yjjz4aj3/842ddnIXlkksuiRQHgF20rlu3Dl//+tdnU6g1zPnnn49er4dnPOMZ0efPetaz8Nvf/la9DybIoYceirPPPjtSHADAYx7zGBARvvGNb8yoZIvNP//zP+PnP/+5blWYIpdddhkuu+wyvPKVr4wUBwBUcTBhbrvtNuR5jj322CP6/B73uAe23HJL3HLLLTMq2eYLIcQ9mNifWVdqDaHKgwXmhBNOwNVXX40vf/nL/rNrr70Wl1xyCY477jh0Op0Zlm6x+NznPod169Zh1113xctf/nIcffTRePrTn47zzz9flTRT4h//8R/xm9/8Bm9729tmXZSFpipexzXXXIOVlRXc+c53nkGJ1jbf/OY3cac73am0EN1///0BQAXaCVIXa+Z///d/AUD77xT41re+hde97nU466yzsOOOk7UMKoHPfe5zAID73ve++Od//mccffTReOpTn4r3ve996PV6My7dYnGPe9wDBx98MC666KLIY/dDH/oQbrvtNpxwwgkzLJ2irD4aMHENcP755+OCCy5ode2///u/Y6eddgIAvOhFL8IOO+yAJz/5ydi4cSPWr1+P73//+zjzzDPV1biGn/3sZ/ibv/mbVtfK4HxXXXUVut0uHvjAB+IJT3gCnvzkJ+PKK6/EM57xDJx//vn43Oc+h25XX7eU5zznObj++usHXrf77rvjrW99q//9sssuw9ve9jacf/752HHHHTXWQQs+/OEP48Mf/nCra9/97nfjbne7W+33//AP/wAAeOpTnzqRsm1O3HDDDX6Mltz5zndGt9vFDTfcMINSbT7ceOONeMtb3oK73vWueNSjHjXr4iwUt99+O04++WQ86lGPwkknnTTr4iw0V111FZaWlvDgBz8Yhx12GJ785CfjmmuuwRlnnIH3v//9+MIXvlDyuFFG5+KLL8Y//uM/4t73vjce8IAH4Oabb8avf/1rfPKTn9QgzTOAphCjgNT3oDUqzawBfvzjH+Piiy9ude3tt9/u//3d734Xr3nNa7Bx40Y885nPxIYNG3DRRRfh7W9/O/bff3888YlPnFaR1yy33HJL67Y+9NBD/b/vuOMO3H777TjmmGPw/ve/33++yy674JnPfCbe+9734tnPfvaES7v2ueyyy/CTn/xk4HVslQXsdpynP/3peOxjH6sa/yG46qqrWvftpkCIb3jDG/DpT38aT3/60/HoRz96UsXbbFhZWalVJC4tLWFlZWWVS7T5sGnTJhx99NH4/e9/j09/+tO4053uNOsiLRQvfOELccMNN+CLX/zirIuy8Nxxxx3o9Xp46EMfGhmX9thjDxx//PF45zvfib//+7+fYQkXiw9/+MN43/veh2OOOQaPetSjcMstt+Cd73wnXvGKV2C//fbDrrvuOusiKsqqocqDNcDJJ5+Mgw46qNW1d73rXQHYwIjHHXcclpaW8JWvfMVroE866SQ8+clPxoknnohrr7220gK2ObPbbrvhs5/9bKtr73vf+/p/b7PNNgCA448/PrrmxBNPxLOe9Sx8/vOfV+VBBeeeey5uvfXWgdfJo5Ce//zn4w9/+APOPffcKZZs8TjhhBNwwAEHtLp25513rvz8vPPOwz/+4z/icY97HP7t3/5tksXbbNh6661x3XXXlT7P8xybNm3SYIlTotfr4eijj8bXvvY1nH322XjCE54w6yItFJdddhnOPvtsvOMd78A973nPWRdn4eE1R6pAP/bYY/G0pz0Nn//851V5MCGuuOIKnH766Xj2s5+Ns88+239+/PHHY88998Spp56KSy+9dIYl3PwoiFBMON7/pNNbZFR5sAbYc889seeeew51z69+9Stcc801OP3000uua0cccQQuuugifPvb39ZAcwnbbLMNjjjiiKHv22OPPfDFL36xtId2iy22wBZbbKEBdWqQ3htt+e///m9ss802eM5znuM/u/nmmwHYbTuXX365P5pNCeyxxx6lffbD8IEPfACnnXYaHv3oR+OTn/xkKTCo0g6OQL9p0yZs2LDBf/6LX/wCRDTWM1Kq6ff7OP7443HxxRfj7W9/ezR2KJPhO9/5DgDgP/7jP/Cf//mf/vP/+7//Q7fbxRFHHIEjjjgCp5122qyKuFDwOJGuObIsw7bbbqtrjgnyX//1XyiKoqRw3G677fCQhzwEn/3sZ9Hv93Vr6ipC7r9Jp6m0Q3v6gsLRd//whz+UvuPPttxyy1Ut0yLz2Mc+Fu9617tw5ZVXRmcs//znP8ftt9+O3XfffYalWyze8Y53lBZGP/nJT/C1r30Nf/mXf4knPelJ3gNHmQwf/ehHccopp+Dwww/Hpz71Kd1LOwaPfOQj8cEPfhBf+cpXoj33l1xyCQDoPvwJUxQFnva0p+ETn/gEzjrrrNYxbZThePKTn4y99tqr9Pl3v/tdbNiwAaeddpq6dk+Qxz72sXjjG9+IK6+8Eocddpj//Le//S1uuukmHUcmCK+V69bT69evV8WBsllhiNRPY1E5/PDD8dWvfhWXX3653/Zw3XXX4eCDDwYR4eqrr1YhYEIURYGDDjoIt956Ky6//HLstNNO6PV6OPHEE/HpT38a3/72t3H/+99/1sVcWL7xjW/gL//yL/HmN78ZL3jBC2ZdnIXiM5/5DJ7ylKfgsMMOw2c+85nIWq4Mz/LyMvbee2/ssMMO+NKXvoQ73elOuOmmm3DQQQfhnve8Jy677LJZF3FhICIfc+atb30rzjzzzFkXabNj48aN2GqrrfD9739/1kVZOA499FBcf/31+MpXvoK73/3uyPMcp556Ks4//3x87Wtfw1/8xV/MuogLwU033YR73/ve2G233XDJJZf4ozA/85nP4KijjsLTn/50/Pu///uMS7l5cMUVV2CfffbBQ7Y+FVt1Jnuay635Tfjan96LH/3oR9h7770nmvaioaqyBeZDH/oQ/uZv/gYHH3ww9ttvP6xfvx7f/e53ceCBB1aefa2MTpZl+PSnP42/+qu/wh577IF9990XP/3pT1EUBT7xiU+o4kBZk2zatAnHHnss+v0+iqLA0UcfHX2/22676VnuQ7J+/XpcfPHFOOaYY7Bx40bsvffe+M53voN9990XH/3oR2ddvIXiwgsvxHvf+15st912uOSSS7x3B3PyySfjuOOOm1HpFGU8LrzwQpxwwgm4z33ugwc84AH4+c9/jjvuuAMXXHCBKg4myI477oj/+I//wHOf+1zc+973xn777Yebb77Zn6glT4JSlM0B9TzYDLjppptwzTXXoNfrYdddd8U97nGPWRdpobnqqqvw85//HNtvvz32228/LC0tzbpIC8/NN9+Mr371q7jvfe+L3XbbbdbFWRjyPI/2L6dsu+22OPjgg1exRIvFD37wA9x4443YZZddNEbHFPjlL3/ZaPHea6+9sHHjxtUr0GbIZZddhm63q+PEFPnpT3+Ka6+9Fttssw0e8IAHaDyaKUFE+NnPfoZf/OIX2GqrrbBx40Zsv/32sy7WZgV7Hvzl1qdMxfPg//3p39XzoAWqPFAURVEURVEURVHmFlUezAe6bUFRFEVRFEVRFEWZe4isJ8ik01Takc26AIqiKIqiKIqiKIqizDfqeaAoiqIoiqIoiqLMPQUIBSbrKjDp9BYZVR4oiqIoiqIoiqIocw9NQXlAqjxojSoPFEVRFEVRFEVRFGUErr/+enz1q19Fnuc48MADhzpB6U9/+hO+853v4LrrrsPd73537L///thuu+2mV9gx0ZgHiqIoiqIoiqIoytxDfuPCZP+Myqtf/Wps3LgRH/7wh/GZz3wGD3jAA3D66acPDOpIRHjGM56Bu93tbvjbv/1bXHLJJXjhC1+Ie93rXnjHO94xcnmmjXoeKIqiKIqiKIqiKMoQfPKTn8TLX/5yfOADH8DJJ58MAPjKV76CQw89FHvuuSf+7u/+rvbePM/x8Y9/HO95z3vwV3/1V/7zl770pfjbv/1b7LLLLjjyyCOnXodhUc8DRVEURVEURVEUZe6Zjt/BaDEP/uVf/gX3vve9veIAAB72sIfh4Q9/ON7ylrc0eh9kWYavfOUrkeIAAP7hH/4BAHDhhReOVKZpo8oDRVEURZkCmzZtQlGM7go5Lv1+H71eb2b5K4qiKMqicscdd+Cb3/wmHvrQh5a+O+SQQ3D99dfj6quvrr0/yzLsu+++pc9vu+02AJjb+VuVB4qiKIoyYT72sY9hp512wh/+8IeZleGTn/wkdtxxR/z2t7+dWRkURVEUZZIQJu99wP4B11xzDa644oroz29+85vKcvz85z9HURS4xz3uUfqOP7v22muHrt9b3/pWAMBjH/vYoe9dDVR5oCiKoigTZHl5GS960Ytw5pln4i53ucvMynHMMcfgnve8J17+8pfPrAyKoiiKslY46qijsM8++0R/zj777Mpr2UNgiy22KH235ZZbAgBuvfXWofL//Oc/j3/913/FQQcdhBNPPHHI0q8OGjBRURRFUSbIBRdcgOuvvx6nnXbaTMthjMFznvMcnHnmmXjVq16FHXfccablURRFUZRxKdx/k04TAD71qU9h48aN0Xd1c+eGDRsAACsrK6XvlpeXAVQrFur41re+hWOOOQb3ute9cOGFF6LT6bS+dzVRzwNFURRFcRARNm3aVLnXMM/zVnEMzj33XDziEY/AzjvvHH3e7/exadOm0vVFUZTS5bzSstWVuY7jjjsORVHgfe97X2OZFUVRFGUtQKaYyh8A2LhxI/bee+/oz0477VRZjj//8z8HANx4442l7/7v//4PACq3NFTx/e9/H495zGNw5zvfGZdeeinufve7j9I0q4IqDxRFURTFURQFHvOYx2DnnXfG9ddf7z+/4447sP/++2OvvfbCzTffXHv/b3/7W3zzm9/EYYcdVvrupS99aaUV4tJLL8UWW2yBSy+91H92zjnnYIsttsC1116L5z73udh2222x1VZb4VnPehZ6vR6Wl5cjVeI2AAAOlElEQVRxxhlnYLvttsP69etx9NFH449//GMp7Tvf+c7Yd9998dnPfnbIllAURVEUpY7tttsO97nPffDtb3+79N03v/lNbL/99rjPfe4zMJ0rrrgCj3zkI7H11lvjsssuwy677DKN4k4MVR4oiqIoiqPT6eCCCy5At9vFscce6z0QzjjjDFx55ZX4+Mc/jjvf+c6193/9618HEWH//fefSHle+tKX4rDDDsOvf/1r/H//3/+HCy64AK961avwd3/3dzjkkENw44034vLLL8cXv/hF/NM//VNlGg960IPwrW99y7tRKoqiKMpaZZ6Oanz2s5+N7373u/ja177mP7v22mtx8cUX49RTT8XS0pL//Jvf/CbOPffcKADj1VdfjcMPPxxbbrklLr/8cuy6666jN8wqoTEPFEVRFEXwZ3/2Z7jgggvwiEc8As9//vOx77774n3vex/e9a534cADD2y897rrrvNpTIK9994bT3nKUwAABx98MI477jj867/+K170ohfh2GOPBQA8+MEPxgknnID3v//9eMc73lFZn5WVFdx4441zb9FQFEVRlLXCGWecgcsvvxxPeMIT8NznPhcbNmzAOeecgwMOOACvfOUro2svuugivPGNb8R+++2HnXbaCbfffjse8YhH4MYbb8QLX/hCfP7zn4+uv9vd7oYnPvGJq1ibdqjyQFEURVESDjnkELz2ta/Fi1/8YiwtLeGEE07A6aefPvA+3jqw9dZbT6Qcj3rUo6Lf99xzT9xxxx2Vn99666246aabSsGduCy33HLLRMqkKIqiKLOCQBMPmEgjeh50u11cdNFFuPjii/HlL38Zt912G/7lX/4FRx99dCng4UEHHYRnP/vZuOtd7wrAxkF63OMeB8DOz9///vej64c9qWG1UOWBoiiKolRw7LHH4mUvexl6vR7OPPPMVvdst912AFAZf2AUUg+GrbbaqvHzW265paQ8YKXB9ttvP5EyKYqiKIoSePzjH4/HP/7xjdccddRROOqoo/zv22yzDc4999wpl2zyaMwDRVEURUlYXl7Gscceix133BH3vve98bSnPc2f6dwEbwu44YYbWudVdbIDY4wZ6vMqbrjhBmzYsGFiWykURVEUZVZMJ+LBZD0ZFhlVHiiKoihKwplnnonvf//7+NjHPoYLL7wQP/vZz/DsZz974H0PechDkGUZ/vu//7v2Go6LwPzwhz8cu7xNfOtb38JBBx0UBW5SFEVRFEUZFlUeKIqiKIrgQx/6EM4991y86U1vwkMe8hDst99+eMc73uE/b2K77bbDwQcfjC996Uu115x++un4yU9+gt/97nf49Kc/jTe96U0AbITmPM8nWpff/OY3+NGPfjSXQZcURVEUZVgKU0zlj9IOVR4oiqIoiuOqq67C3/3d3+HYY4/F8573PP/5M57xDPz1X/81XvziF+N//ud/GtM47bTT8OUvf7nkYcA86UlPwlOe8hTsscceePOb34wLL7wQj3jEI/CSl7wEn/zkJwHYIEzr168vbU8Y9HmWxdP6Rz7yEaxbtw5Pe9rTWreBoiiKoswrHDBxkv+NGjBxc8QQkbaWoiiKokyIfr+P+93vfnjCE57gvQoA4MUvfjHe+MY3YrWm3TzPsffee+Pxj3883vKWt6xKnoqiKIoyDa644grss88+2HObJ2NDZ7IBgDflf8BP/vhJ/OhHP8Lee+890bQXDfU8UBRFUZQJ0u128S//8i9473vfi5tuumlm5fjYxz6GP/7xj3jZy142szIoiqIoyiSZtNcB/6e0Q5UHiqIoijJhHv/4x+N3v/td6djE1eT444/HDTfc4I+PVBRFURRFGYfurAugKIqiKJsDS0tLWL9+/ayLoSiKoihrlmkcrahHNbZHPQ8URVEUZRV49atfjU2bNs26GIqiKIqiKCOhngeKoiiKoiiKoijK3GMjFEz2WGONedAe9TxQFEVRFEVRFEVRFKUR9TxQFEVRFEVRFEVR1gCTj3kA9TxojSoPFEVRFEVRFEVRlLmnAKEwkxX2C9BE01tkdNuCoiiKoiiKoiiKoiiNqOeBoiiKoiiKoiiKMvcUyKcQMHGy6S0y6nmgKIqiKIqiKIqiKEoj6nmgKIqiKIqiKIqizD0EmnjARNKYB61RzwNFURRFURRFURRFURpRzwNFURRFURRFURRl7iHkKGiyMQpIYx60Rj0PFEVRFEVRFEVRFEVpRD0PFEVRFEVRFEVRlLmHUEwh5sFk01tk1PNAURRFURRFURRFUZRG1PNAURRFURRFURRFmXus58GkYx6o50FbVHmgKIqiKIqiKIqizD2F+2/SaSrt0G0LiqIoiqIoiqIoiqI0op4HiqIoiqIoiqIoyhqAprDNgCac3uKingeKoiiKoiiKoiiKojSingeKoiiKoiiKoijK3EOUg2jCARMnnN4io54HiqIoiqIoiqIoiqI0op4HiqIoiqIoiqIoytyjpy3MFvU8UBRFURRFURRFURSlEfU8UBRFURRFURRFUeYeQgHChGMeqOdBa1R5oCiKoiiKoiiKosw9RAWIJivsTzq9RUa3LSiKoiiKoiiKoiiK0oh6HiiKoiiKoiiKoihzD4EmHuCQQBNNb5FRzwNFURRFURRFURRFURpRzwNFURRFURRFURRl7iHKQTThgIkTTm+RUc8DRVEURVEURVEURVEaUc8DRVEURVEURVEUZe6xRzVOOuaBnrbQFvU8UBRFURRFURRFURSlEfU8UBRFURRFURRFUeYeIgLRhD0PSE9baIsqDxRFURRFURRFUZS5h5CDMOGAiRNOb5HRbQuKoiiKoiiKoiiKojSingeKoiiKoiiKoijK/DOFbQvQbQutUc8DRVEURVEURVEURVEaUc8DRVEURVEURVEUZe4hFJMPmKhHNbZGPQ8URVEURVEURVEURWlEPQ8URVEURVEURVGUuadAATNhT4FCPQ9ao54HiqIoiqIoiqIoiqI0op4HiqIoiqIoiqIoytxDUzhtgfS0hdao8kBRFEVRFEVRFEWZe4hyEOUTT1Nph25bUBRFURRFURRFURSlEfU8UBRFURRFURRFUdYAxRSOVtSAiW1RzwNFURRFURRFURRFURpRzwNFURRFURRFURRl7tGAibNFPQ8URVEURVEURVEURWlEPQ8URVEURVEURVGUuYeomILngcY8aIt6HiiKoiiKoiiKoiiK0oh6HiiKoiiKoiiKoihzD03htIXJn96wuKjyQFEURVEURVEURZl7NGDibNFtC4qiKIqiKIqiKIqiNKKeB4qiKIqiKIqiKMrcQ5hCwETdttAa9TxQFEVRFEVRFEVRFKUR9TxQFEVRFEVRFEVR1gCF+zPpNJU2qOeBoiiKoiiKoiiKoiiNqOeBoiiKoiiKoiiKMv8QTT5GgZ620Br1PFAURVEURVEURVEUpRH1PFAURVEURVEURVHmHppCzAM9baE9qjxQFEVRFEVRFEVR5h57TOOElQcTPvpxkdFtC4qiKIqiKIqiKIqiNKKeB4qiKIqiKIqiKMoaoACQTyFNpQ3qeaAoiqIoiqIoiqIoSiPqeaAoiqIoiqIoiqLMPTY+gZlCmkob1PNAURRFURRFURRFUZRG1PNAURRFURRFURRFWQMQJh+jgCac3uKingeKoiiKoiiKoiiKojSingeKoiiKoiiKoijK/DON+AQa86A1qjxQFEVRFEVRFEVR5h4CYdLbDEi3LbRGty0oiqIoiqIoiqIoitKIKg8URVEURVEURVGUNUAxpT+j8eMf/xhHHnkktt12W2y11VZ4+MMfjm9+85urdv9qo8oDRVEURVEURVEURRmCX/ziF3joQx8KAPjf//1fXHfdddh9991x2GGH4Xvf+97U758Fhoh0k4eiKIqiKIqiKIoyl1xxxRXYZ599AHRhYCaato150MePfvQj7L333q3vO+WUU/Cxj30Mv/zlL7HddtsBAPr9PnbffXds3LgRX/ziF6d6/yxQzwNFURRFURRFURRFaQkR4ZOf/CQOO+wwL/gDQLfbxROe8ARceuml+P3vfz+1+2eFKg8URVEURVEURVGUNQBN/L9RTm+47rrrcMstt2DPPfcsfXef+9wHRVHgiiuumNr9s0KPalQURVEURVEURVHWANPYcW/TvOaaa0rf7Ljjjthpp51Kn//ud78DgMhrgOHPfvvb39bmOO79s0KVB4qiKIqiKIqiKMrcsv3222PrrbfGn/70p6mkv27dOhx11FGlz1/xilfgla98Ze19xtTHX2j6blL3rzaqPFAURVEURVEURVHmlp133hk//vGP8Yc//GEq6ed5jk6nU/p8xx13rLz+Lne5CwBUlufmm28GANz5zneuzW/c+2eFKg8URVEURVEURVGUuWbnnXfGzjvvPOtiAADuec97Ytttt8VPfvKT0ndXXnklsixzp0NM5/5ZoQETFUVRFEVRFEVRFKUlxhgcddRRuOyyy7ynAGCPWvzsZz+Lww47rNFzYNz7Z4UqDxRFURRFURRFURRlCF7xildg3bp1eOpTn4obbrgBv//973HGGWfgxhtvxBvf+Mbo2he/+MUwxuAb3/jGSPfPC6o8UBRFURRFURRFUZQh2HXXXfHVr34VRIS99toL97jHPXDVVVfh0ksvxf777z/1+2eBIaJpnHehKIqiKIqiKIqiKMqCoJ4HiqIoiqIoiqIoiqI0osoDRVEURVEURVEURVEaUeWBoiiKoiiKoiiKoiiNqPJAURRFURRFURRFUZRGVHmgKIqiKIqiKIqiKEojqjxQFEVRFEVRFEVRFKURVR4oiqIoiqIoiqIoitKIKg8URVEURVEURVEURWlElQeKoiiKoiiKoiiKojSiygNFURRFURRFURRFURpR5YGiKIqiKIqiKIqiKI2o8kBRFEVRFEVRFEVRlEZUeaAoiqIoiqIoiqIoSiOqPFAURVEURVEURVEUpRFVHiiKoiiKoiiKoiiK0sj/D88kI/16tgd9AAAAAElFTkSuQmCC",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"phasor = np.asarray(detector_states[\"field_xy\"][\"phasor\"])[0, 0, :3]\n",
"field_magnitude = np.sqrt(np.sum(np.abs(phasor) ** 2, axis=0)).squeeze()\n",
"field_magnitude /= field_magnitude.max() + 1e-30\n",
"fig, ax = plt.subplots(figsize=(11, 5))\n",
"image = ax.imshow(\n",
" field_magnitude.T, origin=\"lower\",\n",
" extent=(-spec.domain_um[0] / 2, spec.domain_um[0] / 2, -spec.domain_um[1] / 2, spec.domain_um[1] / 2),\n",
" cmap=\"magma\", vmin=0, vmax=1, aspect=\"equal\",\n",
")\n",
"for layer in spec.layers:\n",
" vertices = np.asarray(layer.vertices_um)\n",
" ax.plot(*np.vstack((vertices, vertices[0])).T, color=\"cyan\", lw=0.45, alpha=0.8)\n",
"ax.set(xlabel=\"x (µm)\", ylabel=\"y (µm)\", title=f\"Executed |E| at {spec.wavelength0_um:.3f} µm\")\n",
"fig.colorbar(image, ax=ax, label=\"normalized |E|\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "ceb0b03c",
"metadata": {},
"source": [
"## 7. Port analysis\n",
"\n",
"The useful check is wavelength-dependent Gaussian-to-waveguide coupling efficiency."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "3408a9a2",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-16T19:37:56.162195Z",
"iopub.status.busy": "2026-08-16T19:37:56.161938Z",
"iopub.status.idle": "2026-08-16T19:37:56.275243Z",
"shell.execute_reply": "2026-08-16T19:37:56.274751Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" wavelength_um | \n",
" out | \n",
" monitored_total | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 1.50 | \n",
" 0.805639 | \n",
" 0.805639 | \n",
"
\n",
" \n",
" | 1 | \n",
" 1.55 | \n",
" 0.751486 | \n",
" 0.751486 | \n",
"
\n",
" \n",
" | 2 | \n",
" 1.60 | \n",
" 0.693321 | \n",
" 0.693321 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" wavelength_um out monitored_total\n",
"0 1.50 0.805639 0.805639\n",
"1 1.55 0.751486 0.751486\n",
"2 1.60 0.693321 0.693321"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"wavelengths_um = np.asarray(spec.wavelengths_um)\n",
"powers = {\n",
" port.name: np.abs(np.asarray(sparams[(port.name, spec.input_port.name)]).squeeze()) ** 2\n",
" for port in spec.output_ports\n",
"}\n",
"total = sum(powers.values(), start=np.zeros_like(wavelengths_um))\n",
"if len(powers) > 1:\n",
" stack = np.stack(list(powers.values()))\n",
" uniformity = np.std(stack, axis=0) / (np.mean(stack, axis=0) + 1e-30)\n",
"\n",
"golden = np.load(f\"benchmarks/goldens/{CASE_ID}.npz\", allow_pickle=True)\n",
"colors = plt.cm.viridis(np.linspace(0.1, 0.9, len(powers)))\n",
"fig, ax = plt.subplots(figsize=(9, 4.8))\n",
"for (port_name, values), color in zip(powers.items(), colors, strict=True):\n",
" ax.plot(wavelengths_um, values, \"o-\", color=color, label=f\"FDTDX · {port_name}\")\n",
" ax.plot(wavelengths_um, golden[port_name], \"x--\", color=color, alpha=0.65, label=f\"Tidy3D · {port_name}\")\n",
"ax.set(xlabel=\"wavelength (µm)\", ylabel=\"normalized modal power\", title=\"Port spectra\")\n",
"ax.grid(alpha=0.25)\n",
"ax.legend(ncol=2, fontsize=8)\n",
"plt.show()\n",
"\n",
"table = pd.DataFrame({\"wavelength_um\": wavelengths_um, **powers, \"monitored_total\": total})\n",
"if len(powers) > 1:\n",
" table[\"relative_port_std\"] = uniformity\n",
"table"
]
},
{
"cell_type": "markdown",
"id": "d630ad5d",
"metadata": {},
"source": [
"## Reproduce and refine\n",
"\n",
"The notebook output above is retained from a real local execution. For a scientific\n",
"result, rerun after reducing `spec.dl_um`, increasing the time ceiling, and checking\n",
"port placement. The benchmark command below applies the catalog's frozen-reference\n",
"tolerances and records the result in `progress.json`."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "f6f5d800",
"metadata": {
"execution": {
"iopub.execute_input": "2026-08-16T19:37:56.276518Z",
"iopub.status.busy": "2026-08-16T19:37:56.276340Z",
"iopub.status.idle": "2026-08-16T19:37:56.278468Z",
"shell.execute_reply": "2026-08-16T19:37:56.278046Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"uv run fdtdx-bench run --case device_edge_coupler\n"
]
}
],
"source": [
"print(\"uv run fdtdx-bench run --case device_edge_coupler\")"
]
}
],
"metadata": {
"fdtdx_execution": {
"executed": true,
"working_directory": "repository root"
},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.13"
},
"mystnb": {
"execution_mode": "off"
}
},
"nbformat": 4,
"nbformat_minor": 5
}