{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Tutorial 4a: Tilts, Decenters and Asymmetric Systems\n", "\n", "Consolidating tilts and decenters, coordinate breaks, and non-rotationally symmetric systems.\n" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "nbsphinx-toctree" ] }, "source": [ "### June 2024" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This tutorial shows how to tilt and de-center surfaces in a lens. We will use a spot diagram to show how ray intersection on the image plane are impacted by tilt/decentering." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T10:13:55.458104Z", "iopub.status.busy": "2026-03-24T10:13:55.457796Z", "iopub.status.idle": "2026-03-24T10:13:58.992449Z", "shell.execute_reply": "2026-03-24T10:13:58.991930Z" } }, "outputs": [], "source": [ "import numpy as np\n", "\n", "from optiland import analysis, optic" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We start with a simple lens with all surfaces aligned." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T10:13:58.994680Z", "iopub.status.busy": "2026-03-24T10:13:58.994287Z", "iopub.status.idle": "2026-03-24T10:13:59.101450Z", "shell.execute_reply": "2026-03-24T10:13:59.100969Z" } }, "outputs": [ { "data": { "text/plain": [ "(
, )" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens = optic.Optic()\n", "\n", "# add surfaces\n", "lens.surfaces.add(index=0, radius=np.inf, thickness=np.inf)\n", "lens.surfaces.add(index=1, thickness=7, radius=19.93, is_stop=True, material=\"N-SF11\")\n", "lens.surfaces.add(index=2, thickness=21.48)\n", "lens.surfaces.add(index=3)\n", "\n", "# add aperture\n", "lens.set_aperture(aperture_type=\"EPD\", value=25.4)\n", "\n", "# add field\n", "lens.fields.set_type(field_type=\"angle\")\n", "lens.fields.add(y=0)\n", "\n", "# add wavelength\n", "lens.wavelengths.add(value=0.587, is_primary=True)\n", "\n", "lens.draw(num_rays=10)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T10:13:59.103086Z", "iopub.status.busy": "2026-03-24T10:13:59.102905Z", "iopub.status.idle": "2026-03-24T10:13:59.210566Z", "shell.execute_reply": "2026-03-24T10:13:59.210175Z" } }, "outputs": [ { "data": { "text/plain": [ "(
,\n", " [])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spot = analysis.SpotDiagram(lens)\n", "spot.view()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, let's tilt the first surface by 5 degrees and redraw the lens." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T10:13:59.212304Z", "iopub.status.busy": "2026-03-24T10:13:59.212062Z", "iopub.status.idle": "2026-03-24T10:13:59.788838Z", "shell.execute_reply": "2026-03-24T10:13:59.787267Z" } }, "outputs": [ { "data": { "text/plain": [ "(
,\n", " [])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens = optic.Optic()\n", "\n", "# add surfaces\n", "lens.surfaces.add(index=0, radius=np.inf, thickness=np.inf)\n", "\n", "# == WE ADD THE TILT TO THIS SURFACE ===============\n", "lens.surfaces.add(\n", " index=1,\n", " thickness=7,\n", " radius=19.93,\n", " is_stop=True,\n", " material=\"N-SF11\",\n", " rx=np.radians(5.0),\n", ")\n", "# ==================================================\n", "\n", "lens.surfaces.add(index=2, thickness=21.48)\n", "lens.surfaces.add(index=3)\n", "\n", "# add aperture\n", "lens.set_aperture(aperture_type=\"EPD\", value=25.4)\n", "\n", "# add field\n", "lens.fields.set_type(field_type=\"angle\")\n", "lens.fields.add(y=0)\n", "\n", "# add wavelength\n", "lens.wavelengths.add(value=0.587, is_primary=True)\n", "\n", "lens.draw(num_rays=10)\n", "\n", "spot = analysis.SpotDiagram(lens)\n", "spot.view()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's decenter the first surface of the lens." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T10:13:59.797076Z", "iopub.status.busy": "2026-03-24T10:13:59.795039Z", "iopub.status.idle": "2026-03-24T10:14:02.094644Z", "shell.execute_reply": "2026-03-24T10:14:02.093881Z" } }, "outputs": [ { "data": { "text/plain": [ "(
,\n", " [])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens = optic.Optic()\n", "\n", "# add surfaces\n", "lens.surfaces.add(index=0, radius=np.inf, thickness=np.inf)\n", "\n", "# == WE DECENTER THIS SURFACE =====================\n", "lens.surfaces.add(\n", " index=1,\n", " thickness=7,\n", " radius=19.93,\n", " is_stop=True,\n", " material=\"N-SF11\",\n", " dy=1.0, # 1 mm decenter\n", ")\n", "# ==================================================\n", "\n", "lens.surfaces.add(index=2, thickness=21.48)\n", "\n", "lens.surfaces.add(index=3)\n", "\n", "# add aperture\n", "lens.set_aperture(aperture_type=\"EPD\", value=25.4)\n", "\n", "# add field\n", "lens.fields.set_type(field_type=\"angle\")\n", "lens.fields.add(y=0)\n", "\n", "# add wavelength\n", "lens.wavelengths.add(value=0.587, is_primary=True)\n", "\n", "lens.draw(num_rays=10)\n", "\n", "spot = analysis.SpotDiagram(lens)\n", "spot.view()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "---\n", "## Part 2: Non Rotationally Symmetric Systems\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "tags": [ "nbsphinx-toctree" ] }, "source": [ "### February 2025" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T10:12:31.614129Z", "iopub.status.busy": "2026-03-24T10:12:31.613967Z", "iopub.status.idle": "2026-03-24T10:12:35.116966Z", "shell.execute_reply": "2026-03-24T10:12:35.116363Z" } }, "outputs": [], "source": [ "import numpy as np\n", "\n", "from optiland import analysis, optic, optimization" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**1. Surface Coordinate System in Optiland**\n", "\n", "In rotationally symmetric systems, all the surfaces are typically aligned along the z-axis (so-called optical axis), and passing the `thickness` parameter to the `optic.surfaces.add()` method will simply specify the distance between the consecutive surfaces.
\n", "However, in a non-rotationally symmetric system, the surfaces are not necessarily aligned along the z-axis. To represent this, the surface coordinate system in Optiland includes two additional axes, `x` and `y`. The `x` axis is perpendicular to the optical axis and points in the direction 'inside the screen'. The `y` axis is perpendicular to the optical axis and points in the upwards direction." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**2. Folded Mirror System Design - Approach 1 (more intuitive)**\n", "\n", "An overview of the design task can be found in the following image:\n", "\n", "![diagram](../images/tutorial_1e_diagram.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To design this folded mirror system, you need to consider the following:" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " - To rotate a surface (say, tilt about the x axis), you need to pass the parameter `rx=...` in the `add_surface()` method. The same applies to the tilt about Y or tilt about Z, and their corresponding parameters are ry, and rz, respectively. The default units of rotation of a surface are radians, which means that if you prefer to specify the rotation in degrees, you must use, for example for a 45 degree rotation about X, the parameter `rx=np.radians(45)`. \n", " - You must not pass `thickness` after defining an `x`, `y`, `z` position for a previous surface. Hence, if you want to design systems with coordinate breaks, the best approach is to always specify the location of the surfaces using their (x,y,z) coordinates, instead of `thickness`.\n", "\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T10:12:35.119551Z", "iopub.status.busy": "2026-03-24T10:12:35.119259Z", "iopub.status.idle": "2026-03-24T10:12:35.149467Z", "shell.execute_reply": "2026-03-24T10:12:35.148744Z" } }, "outputs": [], "source": [ "lens = optic.Optic()\n", "\n", "# System settings\n", "lens.set_aperture(aperture_type=\"EPD\", value=5.0)\n", "lens.fields.set_type(field_type=\"angle\")\n", "lens.fields.add(y=-0.5)\n", "lens.fields.add(y=0)\n", "lens.fields.add(y=0.5)\n", "lens.wavelengths.add(value=0.633, is_primary=True)\n", "\n", "# Lens data\n", "lens.surfaces.add(index=0, radius=np.inf, z=-np.inf)\n", "lens.surfaces.add(index=1, z=0)\n", "lens.surfaces.add(index=2, z=10, material=\"bk7\", surface_type=\"standard\") # material in\n", "lens.surfaces.add(index=3, z=15, material=\"air\", surface_type=\"standard\") # material out\n", "lens.surfaces.add(\n", " index=4, z=25, material=\"mirror\", rx=-np.pi / 4, is_stop=True\n", ") # first mirror\n", "lens.surfaces.add(\n", " index=5, z=25, y=-15, material=\"mirror\", rx=-np.pi / 4\n", ") # second mirror\n", "lens.surfaces.add(index=6, z=45, y=-15, material=\"mirror\", rx=np.pi / 4) # third mirror\n", "lens.surfaces.add(\n", " index=7, z=45, y=-10, radius=-30, material=\"bk7\", rx=np.pi / 2\n", ") # material in\n", "lens.surfaces.add(\n", " index=8, z=45, y=-5, radius=30, material=\"air\", rx=np.pi / 2\n", ") # material out\n", "lens.surfaces.add(index=9, z=45, y=10, material=\"mirror\", rx=np.pi / 4) # fourth mirror\n", "lens.surfaces.add(index=10, z=55, y=10) # Image plane" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note how we define the translation parameters (e.g. x, y, z) and the rotation parameters (e.g. rx, ry, rz) for each surface.\n", "Note also, how we must rotate the surfaces of the last focusing lens (surfaces 7 and 8) in order to meet the correct ray propagation direction. In fact, you can try yourself, that if you forget to rotate this surfaces, some of the ray computations will fail, because it will be assumed that the surface is still in the origin coordinate system (i.e. with rx=0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can then visualize both the 2D and 3D drawings of the system we have just designed:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T10:12:35.151917Z", "iopub.status.busy": "2026-03-24T10:12:35.151546Z", "iopub.status.idle": "2026-03-24T10:13:24.108259Z", "shell.execute_reply": "2026-03-24T10:13:24.107777Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens.draw(title=\"System 2D Layout\")\n", "lens.draw3D(num_rays=10) # Opens in external window when you run the code" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And we can check its spot diagram (before optimization) as well:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T10:13:24.132804Z", "iopub.status.busy": "2026-03-24T10:13:24.132496Z", "iopub.status.idle": "2026-03-24T10:13:24.395097Z", "shell.execute_reply": "2026-03-24T10:13:24.394641Z" } }, "outputs": [ { "data": { "text/plain": [ "(
,\n", " [,\n", " ,\n", " ])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "spot = analysis.SpotDiagram(lens, num_rings=10, distribution=\"hexapolar\")\n", "spot.view()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**2.1 Fine tuning optimization for best focus in the image plane - Simple RMS Spot Optimization**\n", "\n", "Once the design is finished, we see that the system is still not in the best focus. This means that a simple optimization can be used to optimize the distance from the last surface of the system (i.e. the back surface of the focusing lens) to the image plane (surface index 9). " ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T10:13:24.396750Z", "iopub.status.busy": "2026-03-24T10:13:24.396524Z", "iopub.status.idle": "2026-03-24T10:13:24.806512Z", "shell.execute_reply": "2026-03-24T10:13:24.805994Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\u2552\u2550\u2550\u2550\u2550\u2564\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2564\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2555\n", "\u2502 \u2502 Merit Function Value \u2502 Improvement (%) \u2502\n", "\u255e\u2550\u2550\u2550\u2550\u256a\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u256a\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2561\n", "\u2502 0 \u2502 0.00643671 \u2502 99.9334 \u2502\n", "\u2558\u2550\u2550\u2550\u2550\u2567\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2567\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u255b\n", "\u2552\u2550\u2550\u2550\u2550\u2564\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2564\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2564\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2564\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2564\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2564\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2564\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2564\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2555\n", "\u2502 \u2502 Operand Type \u2502 Target \u2502 Min. Bound \u2502 Max. Bound \u2502 Weight \u2502 Value \u2502 Delta \u2502 Contrib. [%] \u2502\n", "\u255e\u2550\u2550\u2550\u2550\u256a\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u256a\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u256a\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u256a\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u256a\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u256a\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u256a\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u256a\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2561\n", "\u2502 0 \u2502 rms spot size \u2502 0 \u2502 \u2502 \u2502 10 \u2502 0.005 \u2502 0.005 \u2502 35.94 \u2502\n", "\u2502 1 \u2502 rms spot size \u2502 0 \u2502 \u2502 \u2502 10 \u2502 0.004 \u2502 0.004 \u2502 28.13 \u2502\n", "\u2502 2 \u2502 rms spot size \u2502 0 \u2502 \u2502 \u2502 10 \u2502 0.005 \u2502 0.005 \u2502 35.94 \u2502\n", "\u2558\u2550\u2550\u2550\u2550\u2567\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2567\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2567\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2567\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2567\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2567\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2567\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2567\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u255b\n", "\u2552\u2550\u2550\u2550\u2550\u2564\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2564\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2564\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2564\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2564\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2555\n", "\u2502 \u2502 Variable Type \u2502 Surface \u2502 Value \u2502 Min. Bound \u2502 Max. Bound \u2502\n", "\u255e\u2550\u2550\u2550\u2550\u256a\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u256a\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u256a\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u256a\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u256a\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2561\n", "\u2502 0 \u2502 thickness \u2502 9 \u2502 13.0626 \u2502 10 \u2502 20 \u2502\n", "\u2558\u2550\u2550\u2550\u2550\u2567\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2567\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2567\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2567\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2567\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u2550\u255b\n" ] }, { "data": { "text/plain": [ "(
,\n", " [,\n", " ,\n", " ])" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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vL1pCX/vcLH6MtWgfTbsSXiAIgiAIgiAIwkgQDwFBGAHKZR8LbOWyj4U5jkcvyrGoR2LAkVYDmF2eT8VGL5WWxj9vpO2Opq+CIAiCIAiCIGQvYhAQhBGU8xutyz7aSMbieyTtjravUspQEARBEARBELITMQgIWc9I4u2Vyz7Ow267Oi8VF9Cj6avkGhAEQRAEQRCE7EUMAkJWEx1vj910PIdr/nhDASaTkfR1NGMXBEEQBEEQBCHzkKSCQlYz2nJ+WCgfO6c8LRbMw/V1LKUMBUEQBEEQBEHIHMQgIGQ12nj7YDA0bLx9JpHNYxcEQRAEQRAEQQwCQoYDt/h1e9pjltwbbZnATGK0Yx9uLgVBEARBEARBSC8kh4CQsYw0YV465QZINCMduyQfFARBEARBEITMQzwEhIwkOmEeHvE8nqdAuuQGSDTDjX20cykIgiAIgiAIQnogBgEhI5GEeYlD5lIQBEEQBEEQMhMxCAgZiSTMSxwyl4IgCIIgCIKQmYhBQMhIsjlZYKKRuRQEQRAEQRCEzESSCgoZSzYnC0w0MpeCIAiCIAiCkHmIQUBIa5DYLt4iFcdk8ZoYhpvL4T4LQRAEQRAEQRBSCzEICGmLlMJLHeSzEARBEARBEIT0Q3IICGmJlMJLHeSzEARBEARBEIT0JO0MAg8++CDNnDmT7HY7rVixgt5777245z/99NN0yCGH8PmHHXYYvfTSS4Nef/bZZ+n000+nsrIyTpa2ZcuWIW2cdNJJ/Jr27+tf/3rCxyaMHCmFlzrIZyEIgiAIgiAI6UlaGQSeeuopuummm+i2226jDz74gJYsWUJnnHEGtba26p6/bt06uvTSS+mqq66izZs307nnnst/n3zySeQcp9NJxx13HN11111xr3311VdTU1NT5O/uu+9O+PiEkSOl8FIH+SwEQRAEQRAEIT1JK4PAPffcwwvzK6+8khYtWkQPPfQQ5ebm0qOPPqp7/v3330+rVq2i7373u7Rw4UK644476IgjjqBf//rXkXNWr15Nt956K5122mlxr43rTJkyJfJXWFiY8PEJI0dK4aUO8lkIgiAIgiAIQnqSNkkFvV4vbdq0iW655ZbIMaPRyAv59evX674Hx+FRoAUeBc8999yor/+HP/yBfv/737Mx4Atf+AL98Ic/ZCOBHh6Ph/8Uvb29/BgMBvkvW8HYEV+eqDk4/4gaWlpbRC29HqoqtNHs8vy0nN9Ez8tkkKzPIhPmZrxk4thFRg5F7vXYyNzoI/MSJtPGL/JxKHKvx0bmRh+ZlzAjHX/aGATa29spEAhQVVXVoON4vn37dt33NDc3656P46Phy1/+Ms2YMYOqq6vpo48+ou9973u0Y8cOzj+gx5133km33377kONdXV3k9/spm2/Kvr4+/oLCmJMIio1ExcUGmIyos7OT0pFkzMtkkIzPIlPmZjxg/JmGyMihyL0eG5kbfWReMlNGinwcitzrsZG50UfmZXTyMW0MApPJNddcE/k3EhNOnTqVTj31VNqzZw/NmTNnyPnwYtB6JsC6O336dCopKcnqUAN8OeFOjnkY6Zdzb7tj0K5zJjKWeUlHxvJZZsvcxMNszjwxLTJyKHKvx0bmRh+Zl8yUkSIfhyL3emxkbvSReRmdfEwbKVpeXk4mk4laWloGHcdzuPHrgeOjOX+koLoB2L17t65BwGaz8V80uCGz+aYE+HKOdB6yqbb9aOYlHRnPZ5npczMcmThukZH6ZPu9Hg+ZG31kXjJPRop81Efu9djI3Ogj80IjHnvazJDVaqXly5fTa6+9Nsj6g+crV67UfQ+Oa88Ha9asiXn+SFGlCeEpICQHqW2fOchnKQiCIAiCIAipSdp4CAC4UF1xxRV05JFH0tFHH0333Xcflw1E1QFw+eWXU01NDcdfgW9961t04okn0i9/+Us666yz6E9/+hO9//779PDDD0faRKzzgQMHqLGxkZ8jNwBQ1QQQFvDkk0/SmWeeSWVlZZxD4MYbb6QTTjiBDj/88EmZh2yqbY8FpKptjwz2OC7Z69ML+SwFQRAEQRAEITVJK4PAxRdfTG1tbVwmEIkBly5dSi+//HIkcSAW9lrXiGOPPZYX8z/4wQ/o+9//Ps2bN48rDCxevDhyzvPPPx8xKIBLLrmEH2+77Tb60Y9+xJ4Jr776asT4gDiuCy64gNsUJqa2PRaQUts+fZHPUhAEQRAEQRBSE0MI/rtCUkFCmKKiIurp6cnahDAqxAMeGaWlpZJDYBzzko6M9bPMhrkZjmyQH9kwxuGQez02Mjf6yLxkh/zI9PGNBLnXYyNzo4/My+jkR1p5CAjZBRaMy2aUsGs5dpPFvTx9kc9SEARBEARBEFIPMQgIKQ0WjrJ4zAzksxQEQRAEQRCE1EIMAkJKgIzzsnucnchnLwiCIAiCIAiTgxgEhEknW3IFCEORz14QBEEQBEEQJo/szbIgpARSoz57kc9eEARBEARBECYXMQgIKVGjHuXoVI16PMdxIbORz14QBEEQBEEQJhcxCAgpU6M+GAxJjfosQj57QRAEQRAEQZhcxCAgTCpIIoe4cYPBQAe6+vkRzyW5XOYjn70gCIIgCIIgTC6SVFCYdKRGffYin70gCIIgCIIgTB5iEBBSAqlRn73IZy8IgiAIgiAIk4OEDAiCIAiCIAiCIAhCFiIGAUEQBEEQBEEQBEHIQiRkQJhw9rY7qLXPKzHjQkz2tDk4r0BlgZWKxWwpCIIgCIIgCElBDALChPLmjlZ6fHMHOTwBLjGHrPJILCcIimfer6fH360jp8dP+TYTXb6sjM5bWTrZ3RIEQRAEQRCEjEP23oQJ9Qz4x9YWCoVCVFuSy49Y+GE3WBAA7gXcE9p7BPcM7h1BEARBEARBEBKLGASECaOl10NuX4DK82xkNBr4EbvAcA0XBIB7AfeE9h7BPYN7RxAEQRAEQRCExCIGAWHCqCq0kd1ionanh4LBED8ibAC5BAQB4F7APaG9R3DP4N4RBEEQBEEQBCGxiEFAmDBml+fTGYuqyGAw0IGufn5EDoFsTCwI1/h1e9p1wyXivZbp4F7APaG9R3DP4N4RBEEQBEEQBCGxSFJBYUI5cUElLZk3LaurDGiT5nFixRW1dNKsXP3XsjDpIsa7bEaJpsqAd7K7JAiCIAiCIAgZiRgEhAkHu71zK41ZUzpPa/iITpoHl/gnNtTRvJKZ1B0c+hqeY3GM9+u1l6lgfPgLBoPU2dk52d0RBEEQBEEQhIxEDAKCkARi7fSrpHlY8KukefVdTupyeslBniGvwW0e79lc15X1ngOCIAiCIAiCICSWzN+mFYQkEx3zr1c6T5VX1Euah+cleVZOnKf3mtcfjNlerD4IgiAIgiAIgiAMh3gICBMCFqrNPS7KJzeVllJGewJUl+TE3Ok/dk45n4P34Bjes3pFLdUU51Bpaf6Q1/DcajbGbA9u9Zmed6Ch20U7ujtoSlFOxodKCIIgCIIgCMJEIgYBIemoBWu/x0ezC4lO7wrRhUfVUrqjlw8Az2/6/PzITj8W79HlFbVJ83BsVlluJE4++jWVOyBWe7H6oPIOpDvPbjpIr2zZQ3t7iXJtlowzdgiCIAiCIAjCZJJ2IQMPPvggzZw5k+x2O61YsYLee++9uOc//fTTdMghh/D5hx12GL300kuDXn/22Wfp9NNPp7KyMi5xtmXLliFtuN1uuv766/mc/Px8uuCCC6ilpSXhY8tEohesFApxEr1McG1X+QCwSFc793iOHf3o0nnR5RXxb3gL6C3ao1/TK8Wn2ovVBxxPd3CP4F6hOKESgiAIgiAIgiBkiYfAU089RTfddBM99NBDbAy477776IwzzqAdO3ZQZWXlkPPXrVtHl156Kd1555109tln05NPPknnnnsuffDBB7R48WI+x+l00nHHHUcXXXQRXX311brXvfHGG+nFF19k40JRURHdcMMNdP7559M777yT9DGnO4OT6BEV2S20ty+8YE23HezoLP/afADRO/dY0Efv9I8HPc8BEK8Pen1Ox3unqNBCXcGhoRKCIAiCIAiCIGSRQeCee+7hRfuVV17Jz2EYwEL90UcfpZtvvnnI+ffffz+tWrWKvvvd7/LzO+64g9asWUO//vWv+b1g9erV/Lh//37da/b09NDvfvc7NiaccsopfOyxxx6jhQsX0rvvvkvHHHNM0sabCWgXrBV5Vurx+ijPZoksWNOFWHH6ejH/2p39RC5c9dpT3gN6fUj33ALq3ulx+yhotlK70zvI2CEIgiAIgiAIQpYYBLxeL23atIluueWWyDGj0UinnXYarV+/Xvc9OA6PAi3wKHjuuedGfF1c0+fz8XUUCEGora3l9sUgEJ/oBevsQgOtXjHYfT7ViRenH2vnfiKJlXcg3XMLoJ+4V5BDAPeOyiGQLv0XBEEQBEEQhFQnbQwC7e3tFAgEqKqqatBxPN++fbvue5qbm3XPx/GRgnOtVisVFxePuB2Px8N/it7eXn4MBoP8l22cf0QNLa0touYeN1cZWDyrOq3mAdURkBBRhT3A0wELVBxHQkD1B8YyLrwHC/fxzEl0H4brc7pw7rJqmltM5CA7TSmy0+zy/LS6dxJBJo5XZGRy5ECmInOjj8xLmEwbv8jHoci9HhuZG31kXsKMdPxpYxBIJ5Cz4Pbbbx9yvKuri/x+P2UjxUaiwiKivj4fZ9SHd0eql7rrcnqpJM9K2I9GdQTyOzkHAsIe4OkA44aqDjDeL2tfXx8LrkTNC/qm12dXbzf98+NeHhdKHaY6mJsCo4+qC+xkNHoTMt/pBu6NTENk5MTIgUxB5kYfmZfMlJEiH4ci93psZG70kXkZnXxMG4NAeXk5mUymIdn98XzKlCm678Hx0Zwfqw2EK3R3dw/yEojXDsIatKEKsO5Onz6dSkpKqLAQq7Ts/XIiQz7mIZW/nCh1h+z2KvYebuunL53Dx5AQETkQcOyw2TUpOy+lpeHyjto+HzKlgB5Y1zxoXOcvn0apTLrcM8nEbE4bMT1iREYORe712Mjc6CPzkpkyUuTjUORej43MjT4yL6OTj2kjReG2v3z5cnrttde4UoD6sPEcWf/1WLlyJb/+7W9/O3IMSQVxfKTgmhaLhdtBuUGAqgYHDhyI2Y7NZuO/aHBDZttNqc1yD1d1fDlTeR449n7DAVS6o+kleeHY+w0H6N6Ll9KymaVJyxWQjHm58KjaSJ+9/iDds2bnkHHh9VSPyVdzs6+jP20rJoyHVP2ujAeRkfqkunycTGRu9JF5yTwZKfJRH7nXYyNzo4/MC4147GljEACwmF5xxRV05JFH0tFHH81lB1E2UFUduPzyy6mmpobdrcC3vvUtOvHEE+mXv/wlnXXWWfSnP/2J3n//fXr44YcjbcIFGYv7xsbGyGIfYPcffygzeNVVV/G1S0tL2Tr7jW98g40BklAwPkOy3K+opZNm5aZRmcTBpe5QSjDdFqKqMsG6Pe0xx5UOY4LXBgwY6VoxQRAEQRAEQRBSkbQymVx88cX0i1/8gm699VZaunQpbdmyhV5++eVI4kAs7JuamiLnH3vssVwuEAaAJUuW0DPPPMMVBhYvXhw55/nnn6dly5axwQBccskl/FyVJQT33nsvnX322ewhcMIJJ7Ch4Nlnn53Qsacb0Vnu8Qj3dcTmp0uZxGAwxI+ZUOounceFewb3jvZewr2Fe0wQBEEQBEEQhLGTVh4CAOEBsUIE1q5dO+TYl770Jf6LxVe/+lX+i4fdbqcHH3yQ/4Sx77TXdzk5UV86lUlUu9HpsIueqePCPYN7CaEO6ejdIAjC6MLLor/Xe9sddLCph6YFrTS3snBE7xEEQRAEIUMNAkL67UhjAad2pJHdPhXRKpZwRV82oyTjFE29caWDQo17Ru9eSgfvBkEQBqMnc4aEl2lCgvDaE+/upyKjh3qCjbT6mJn8Wrz3xLqOIAiCIAhDEYOAMGE70qtX1KZkqbtYimUmKpEqpwAYTqFOFXDPoCICcgikm3eDIAifoSdzYKTUhpdxwtN36/g4wL+RDbUq30bdPeFwofICW8z3QC6ki2wTBEEQhFRADALChO1Io8pAqtWRj851EK1YZirpNm6UR0xmlQdBEBJL9A59LJlDBoqZ8BTgtRklOWQw+qg8z0p1XS7a1doX9z3xZJt4DgiCIAjCYMQgIEzYjjTKRKZTVYFMVhbTcdzae0kQhNRFb4e+uiRHV+aAeCFB6rUysyHy2rzKgpjviSfbNtd1ieeAIAiCIKRzlQFBSDTpnH1/PGTruAVBSBzYbUdJU23FD70KM3ju9Qd1Zc6y2hJemKNeNBbueFQhQSr0DMdaHJ7IayctqIz5nliyDdfX65fqu95YBEEQBCEbEA8BIatJ5+z74yFbxy0IQmKIFacfa4feajbGlDn4i5XIFW0urS2ig01tNG1qRaTKQKzkr7FkG64vngOCIAiCMBQxCAhJI9VjNVX/oFRmYlWB4YhWqAF2yFJ5DlL9nhKEbCBeDpJYFWZw/Ng55TFlbbyQoNnl+VRs9FJp6eDXY70nVkUVvX5Few6kej4VQRAEQUg0YhAQJmz36PwjaihVkCzUgxXqdJiPdOijIGQqWmNcvDh9LPrjeR9NVC6Q6OuMxXNAkhAKgiAI2YAYBIQJ2z2C22dxCmStSLcM+8kmHeZjb3vq91EQMpVoY9yqQ6viJgKM5c4/2YzGcwCvixFSEARByAZSYHkmZBpq9wjKldpxwfOWXg+ldv/CJauyjXSYD9w7qd5HQchE9JIEvvxpCxsF9JL6KfBveAukijEgVr+0iQu1YwHxkhAKgiAIQqYgHgJCwokdQ2ojIu9kdy9ujOtk7X4fbOqhaUFrJGFWNs+HHrh3Ur2PgpCJxAoPWFpbQmcsnppyXgCJ8hxAPpV0K80qCIIgCGNBPASEhBNrxwWJoVK5f8lS8uKVs4JL6nf+/CE9+s4+fsTz0bw/HedjLODeSfU+CkImEC1v4pUoTVUvgLEQPZZ445YShYIgCEImIR4CwoTtuASDQUoFoMRVl+TQTZ+fzwmlkrm7pRd7i501tbON1ygUoqp8G3X3hF1SMW8Ac7flQBe75yY7hlX7eSHrNuYF85RKin6qxiULQqYQK2Y+G0uUxkpCKCUKBUEQhExDDAJC0piobNLjVXixKzRe9DJRR8fe7mztowde303l+TYqybPSsbPLuB8zSnLIYPRReZ6V6rpc9PTGelq3t4O6nF5qd3ioNM9K8ysLYibSS1QWbLw31ZXdVLynBCHTk4tmqzFOrzTrjU9tkeSmgiAIQkYhBgEha0hWNn1lZOjq95LFaKQLl9fQdSfPGxR76/IHqMflo2CIqCzPSv1eP/3940Y+H/0oMxsirqk4nmsx8XmtfR5+H96vF8P6mzd20TObGsgXDFJJrnVcC/h0qDYgCEJyiFdKUBnislEOaMcteQUEQRCETEQMAkLWMJzCO55FdIcjvHD3BkLsBQCQcEvFoOJ6eM1mMlKv20dtfV5y+wNUnGMhfyBALSaiLieR2x+ibpeP7GYTVRSEyGoykicQJJcvENm1VztVMAbgWoEQkdVkYGPCeBbwyZgfQRBSF613UTokF51s4s1Rojy1BEEQBGGikaSCQlJJpeRL8ZJEjRUogPAMgDEAie7yrSb2AsCuPUDOAKcnwOeZDEQ5ViMbA7CjbzMbOXQAfThhfjk/4jmO43Wch/PxvvBiPcDtqdrZuAauhWvi2ugD+jLWUnzJmJ9MvZcEId2BZxPc33/43Cf8iHAhSdw5tgSsmDvtXOolhxUEQRCEVEU8BISJi9dfUUsnzcpNuSRR41F4sViG2z92//OtRvIFwrv6vkCQ/rzxAK3f28mL+1yLmZbNL6YdLQ7q6u/nRf/00lyaUmCnPe191N7noX5fgOaUF5DJaKD6zn72IKgosNHy2hJ+H9pBgsHKAjsnRcQ1wtcKkcVkIIc3yH0Z6wI+GfOTKJ7ddJAe33AgZXMbCEI6ESs86N6Ll2ZlroDRIHkFBEEQhExDDALChCmcT2yoo3klM6m0dPL6NdbkWBjP5gNd/O9ltZ8penhEzgC47vd5/GQ2GqjAbqYcq4nW7mjjbP1zy/N5/A09brr6hFn0yD/3kdlkYGMAEg12Oz30QZ2fOvoCFAgSJxAMBEPkD4T4/D++V095NhOV532mbKJCArwJPP4A9bn9HGqAa6Mv2jGt3dFKu1r7aF5lAZ20oDJp85NMGrpdfO+EQiQKtyAkgHjhQZlSRjCZSF4BQRAEIZMQg4AwYQpnfZeTM+eno6fDfa/upDZHuO+VBTb61qnzIjvUSCD48cEeem17G+/WY4E+syyXDna5aVppziAlcUZZHl130hxe0O5ud1Cn08vJA2eU2qjR7aEOp5ePc4LA42ewJ4B2HmFoONjp4uoDC6cU0K6WPr6m0WCgk+ZXcF8U33vmQ3r+w0byB8PGgi8uqaa7Llwy7HiVEqtCDyZbqcU9gzmYXpInCrcgJADJF5A4ZC4FQRCEdEcMAsKEKknY1U7FOtvxPAMefmsvL9QtJqTcCFGbw0OPvLU3skONc7D7P7M8lxfszT1u+vBgLwVDIers99KMslx27VdKInbg8N7Xt7fQ4+vqaF5FHpcdhGfArjYnXb5yBp1yyGe5AtQ8egNBquvo553yXyOZYDDEYQe4pssb4D7gfLwPngEwBoSIqMBm5nAEPP+Xw6YO6ykw2jlKNirPgijcgjA+tInvUjU8KN2IF2oliQYFQRCEdEAMAsKEKUmrV9RSTXHOpPVpLGX1oMw53H4ykIFsyO5nMFLA6+ddayzo1Tna8oL4N5hSaKN2h5f2t/ezx8DVx88eFGoAXviwiRq6+8laQNTQ5+PFrzIGaOcRBoj9Hf1kNBC3hcoDKEm4ZHoRFdgsFMwJ8TwjrAH9eXdvO3sGwBgA7wGUMURIA8IH4hkEUrH0IO6Z1StmcA4BWbwIwtjQM/QhZ4AsWMePXqhVqhlWBUEQBCEWYhAQJkxJmlWWS52dnZPWn7GU1UO/8+1mzt7vQX0/CnIyv163nx5fX8cLemT+1ysvWFOcS9VFOVTf5aKrT5hNFy7/TBlUO0c1xXb6545eMniDdNBppBPmFwxx1Wcl0kB0zys7aXpJDuXbLeRw+6ix201tfR7Kswx4EPiD9PA/97LnALwT4EoAzwAYA/CIsAHkEkj0HE0E5y+fRstmlsriRRDGQDxDHzyWUo3hdtZTceddm1cgFQ2rgiAIghALMQgIE6YkBYPBtIj1jFY2rzl+diSHQIDHYKCiXEskWSAy/8MogEfkBIAjQWGOmXIspvC1CmyciFC1/fTGenp9Ryu5fAGuLlBkN9OMcgt1B/20dmcbfdLYy54CaHNpbQn3A+9HO7zAt4ZDACryrRyKgAU7FvtQPlG9AGNr6HGR3WIijz8YSXaIHALwDoinTKdyPKz2XhIEYeSkqqFPD72d9aW1RXSwqYemBa205UBPyu+8p9N8C4IgCIIYBISsYSRl9WK5eWJn55E399Cr21uou9/Przf3ublSANrCwv2MxVNZ4dtyoIuNA9HXQNta1/+yfCvB6cDlDSI1AfV7/BQMEScZRJ4CVC4oz7excQBtRPf926fNj3hgNHa76Ldr97DiiX7hOYwBpXlWOnpmKV2wfBobA4ZzY03l0oOCIIyNVDP0xTJK6u2s3//aLsq1GqnK5qcWTz31e4NUnGuJu/M+2R4EqTbfgiAIgpBRBoEHH3yQfv7zn1NzczMtWbKEHnjgATr66KNjnv/000/TD3/4Q9q/fz/NmzeP7rrrLjrzzDMjr0PxuO222+iRRx6h7u5u+tznPke//e1v+VzFzJkzqa6ublC7d955J918881JGmXmAQWtucdF+eSe9LKD2GnXK8WHPmLBjuR9FQU2TtSnlE2wtbmPSnOt5PGFyBcMUn1nP7vnK0VP7WDDBVcZB5QC+Mymek5OiHADGAMMBgPnFzBSiNz+IHUjJMEfJKvZzHkIOh1e8odCbBwIhELcL4QdoNwgShlqFV1t8kF4BsAYgPwBdrOJvQ/qOvs5+WC0so1zfwMjQoFt0DzEm6PJKju4o7uDphTliGFCENI8iaDWKAnPpZMWVNBFR9VyX6J31pEwdWeLg2qKbVSVb6OD/T7OnTK12D5k5x1oDbKT6UEQy7CqyhSmUqiDIAiCIKSVQeCpp56im266iR566CFasWIF3XfffXTGGWfQjh07qLJy6KJl3bp1dOmll/Li/eyzz6Ynn3ySzj33XPrggw9o8eLFfM7dd99Nv/rVr+h///d/adasWWw8QJtbt24lu/0za/6Pf/xjuvrqqyPPCwrix2ILQxXAfo+PZhcSnd4VoguPqp3UvihlES77SlmEK7/avcdivbrYTv5AKKJsIpEgFugVBcSx+25/gF9HecBo5U4ZB9T1cB3s+pfmWdgLwOsL8HkG/n+IcxT4AwYyGYN0oL2fXP4gv9bS5+bQg4ZuN+cQwEIdimV03K9SQLHAh2EBxoBpJTlUaDdzDgMkG6wu/qyEodaL4McvbB00D/HmaKJ5dtNBemXLHtrbS5Rrs6Ske7AgpCKpmERQa5Q0mwxcNeV/1tXRGzvaODQLxlftzjrkLEByVIfXz49EnkG5U3C+MgJARqMkKzyjULVlMmP3o3PobK7rohuf2pLSoQ6CIAhCdoI6amnDPffcw4vyK6+8khYtWsSGgdzcXHr00Ud1z7///vtp1apV9N3vfpcWLlxId9xxBx1xxBH061//ml+HUgKjwg9+8AM655xz6PDDD6fHH3+cGhsb6bnnnhvUFgwAU6ZMifzl5eVNyJjTnehdaSS6e2JDHR+f7L7gEc9xHH+I64cxwGQ08mtQVrGDBWUOCicUzW3NfayMwoV1ekku3fqFRTGVOu317BbjgHEh7AmA9IQAGQmQc2BacQ6V5FnI5Qvy7j6MATinqcdDe9vDnghIKKjtczToB/qDfk0tsvG5HzX0cMnER/65l8egvAjg3aC8CMxGGjQPseZoosE1ca9QCvRFENKJWN9jAGNishfHuD52wqO/q8oDADv/SIoK+WoyGNhzCv2DXDp2dhnLSOysI0dKjsVIu1sddKDTxY94rnKn4LyFUwrouS2NPEYYbGFw7XH52NMKRgVcTxl14/UtGSiPMZAqclUQBEEQ0tZDwOv10qZNm+iWW26JHDMajXTaaafR+vXrdd+D4/Ao0ILdf7XY37dvH4ceoA1FUVERex/gvZdccknk+M9+9jM2KNTW1tKXv/xluvHGG8ls1p8+j8fDf4re3t5IUr3JTqw30SBMAJ4BUIJMRmIX9n19Pj6OqgOT1Rejkagiz8pKJY4DfDYzS3OoscdNgUCIDKEQnTS/nEKhIP3j02Yqy7NQr8tH3kCAHO4AXbFyBp0wrzzmZ4p22/pcZDEaqKXHzYv8sEdAmJJcC/V7/WQxGNlgML3USr2uXppSZGMF1h8IGwXCfQvRgU64nho5hjbW/KE/1504mx55ey/VdTjJYCCaVZ5LVpOBx7BqURX95YMG8vkDbAyoKbHTlEL7oHmINUeT9XkVFZqpOzi5fZlMMlFmiIwcCsaNhWIixh9P1iX7uwOvHhjy4PVkMRrpgiNq6OsnzeXXKguslG8zUXufm4KBABtfTSaiqnwr7W130h0vfMoyC4aCkw+poGPmlNNtf/uEOh0o/QpDqYG9nm7+l0Po3T3t9ObONnp7Vxsnc0U51vxcK9lNBi7L6vb5eQ5wPVwX8/rQ2t1h+RcMUkmulcuZooJJsknW55HIeyadybTxi3wcitzrsZG50UfmJcxIx582BoH29nYKBAJUVVU16Dieb9++Xfc9WOzrnY/j6nV1LNY54Jvf/CZ7FpSWlnIYAowSTU1N7LGgB0IUbr/99iHHu7q6yO8P16jPFpAzAGEC5HeyMcAUwHMzH5/oEoSD+2KhHi9CGAzk6u3mHaVpuQHeeZpbZKdul49MRgOduaCQDja1UZHRQ/OrbeQJWFjZ7HP5aFGZKe4YXnpvJ+WH3BQKEE0f2JCDsouKgGBqkZE6nHDTCVK5NUgun5fmFRuowB4g+J/AowCnKm8BIhe8Zfm1lzbupAXFC3Sve9KsXDJ4K+nP79dTRaGNci1mCgVD1OLwcJ/nnzKN/nd9HXsmVOQbqc3RR1PtxPNQUWjXnaPJ/LxwzxSbiHq8/knry2TS19dHmYbISP0fbXzWUGBg7E6GrEv2dwf5PhDikxP0UtAQIF8gRC++v4usgX46d9k0KjYSXb6sjJ7b3EBWX5AMxiBNLbRTMOiiCquPiu0GLvPq8flpX2MrzS820MyCEC2pzKVCo59mVZipxxWgzo4O2nmgiSqsIarNN9FBU4gMPieVW4jmlRA53EGy+vupONdKZyyqomKjlx597SN6cXMDWUJEuchPEPRzX+eVGKimOIeSSbI+j0TeM+lMpslIkY9DkXs9NjI3+si8jE4+po1BYDLRehkgrMBqtdK//du/sdC22WxDzofBQPseWHenT59OJSUlVFgIrSB7QAJB5AzAjhE8A2AM+PySOXTY7JpJ7cvePsRxWuiQKQX0wLpmdiv1+g3k9ft516rAbqF/PW425RUW0a7ubmrxmKk7EKLyPDu1uzxkMJhp2tQKKi3Vd73FztVz23rIHzCya77a6beZYREg8gZC1ItQArOdKBSkOkeIeoI2Wjy7nD6s76Z9PX7yB4ndY+FO6xsw8CGkAX+NW3votGUBOnF+he71l8yz0uObO+iAA322cCyt12+mdp+FltYW08qFId4p+7i9n9y+AOXbLTwP2DE7femcQXOEY5P1eX2+M0hrPtxDezv9nENgsvoymcTyREpnREbqKy9INoo5GKvysrcdSQQ9VFVYNCnfYyT/3N4VpG4nxmLknf5+b4D++GEXnbRkNs0uz6eQtZ/afBZq9cIIGqAOX5DlbXu/ieqdqLTiZxmXYw3R6cvyWS72OII0v8jG8owMZtrY5KV3G7x8ntkUoDyrlbr6fdTY7+aksHarhXxmK500p4bOWzmX5wV9aOw1UK7VFJbJjiAV5wXJQXY29k/0bw8MFbh2d9DK8zJZ90wmkGkyUuTjUORej43MjT4yL6OTj2kjRcvLy8lkMlFLS8ug43iOmH49cDze+eoRx6ZOnTronKVLl8bsC0IKYKVF5YIFC4bu0sJIoGcowA2ZjTclEggum1kaqTIApXSy5kH1BUn2kAvgr5sbyGZGPoA82tnaR12uABXZDYSUfhvruujxDQcGjAVBcnoC5PQGOQ5/9TEzaG5loW55Kxx79oOD5PKHOAkWjAG97rBVHwt7s8lIFXkW+vczFtCy2hIOSYAXAgwMqs2H39xDz21pIG8I/gHwIQjnFbBZTATzgtsXpA37OunkQz7zbtH2Be2sPmYmx6nWdbm4/7CS/vbNvZF/Qynu8wS5rOGiKYVsNHj47X10zQmz6cbPLxhSzWAyOP/I6TSv1MiKc7ZWGchEmSEyUh8oL2OdA70kgvdcvGxCkwjiO2o2msgdIMq3GllOwS3K6Q1Qa5+XDIZ+lqkWs4mWTC/hfCbwhDpnWTWXTYWszLWYqN8XIJ/bT+UFdpZjT7y7nz2cyGCjMw6dwjkD0K7BaOQqLJ0uP5Xl2zikoMJmopqiHJZnL29tpTMOq+Zrow94j9sXIpvFSA5vgPuKPk/EPad+e7SVEP6yuXHcCQbHc89kCpk2dpGP+si9HhuZG31kXmjEY08bgwB25ZcvX06vvfYaVwpQ1h88v+GGG3Tfs3LlSn7929/+duTYmjVr+DhAVQEYBXCOMgDAErthwwa69tprY/Zly5YtPMF6lQ0EfaCMIlYyFVy9ke0ZinNzj5uzUk8rzWGlDGEDANn4Edv//IeNXK5P1bvGQhql/7CI11YQ0Crg4L5Xd1Jzryec3Mrtp1yLkfMIYAFeaLdwScOrj59NFy6fHrmP4dKqvA3Q9l0XLqEZZbn0zKYG6nP7uOoBwg2w26a8DZ5+v57mVuSzIqnXF5XlGsaPh/+5lw0fSOb10cEeNi7MKM3lXTW8Bwm4fP4g7Wt30p0vbafyfCv3MbqawWQAd17s4GWzQBeE0SQR1GbXT+Z3ONogir8Ll9fQA6/vZnkKWWU0GPjfWAQvrS0ZVFYQC3fE0kMu5dvMbEBAGVbkHkBeFRglIceW1hZFjKZY3MO7CfKrgfO9hMOwltUW07amPm4zuiQhro0+IIQhGMI1AuG2l9cMMpToGXgTiWoTxgC9zyobDZ6CIAjC5JM2BgEAF6orrriCjjzySDr66KO5QoDT6eSqA+Dyyy+nmpoaduUH3/rWt+jEE0+kX/7yl3TWWWfRn/70J3r//ffp4YcfjliOYCz4z//8T5o3b16k7GB1dXXE6IDkgjAQnHzyyVxpAM+RUPArX/kKu6EI6ak4dzg85HD7eJG+H2X+vH5247eZoIia+Fy8BkVVq1zCWAClTU8Bf/itvbyoRlZ/tIE2AyGifl+QQwVWLayi1cfOHLGyed3J8+iMxVNZQf3t2t309q6OiDHANGAcwDVRijDWYkDV9kaVAoyh2+0bSG5o4PsfOROQEwEJwJDUC7t1Do+PnF4/3f/aLlFSBSENUNn71UJbuxhO1vc3lhEScgsy8In1B9ibCYZIvA7jJryRtGUFVdnAeZUFNLU4h9xeP+VazWyQtVvNLCsBXOqV0RReBngP5N2iKQXU6vCQxYTF/XS6Z83OIW3DkPu3LeGd+H6Pn720IP++vKKW+zrceDLhsxIEQRCEjDEIXHzxxdTW1ka33norJ/3Drv7LL78cSQp44MCBQbuIxx57LD355JNcVvD73/8+L/pRYWDx4sWRc/7f//t/bFS45pprqLu7m4477jhu024PKyJw24Ih4Uc/+hFnfYXRAAaB6OoFwshBPCd2eSbDHR1KFxa/2C0yoaQVUvX5gtTm8JLZaKTCHDPlWEzU6fRw/KvLG6BgTiiiXCoFVU+p29HSxwonPAOsBuKEVtjdh3Hg2pPm0LUDmbZHg9p1A5829nKVgxyLmasGOBF/6/DQu3s74iqY6LNSwmHgCBsV4K1g5vEiQzfCJ2AMQLv5Ngt5/HDx9bB3wWTVK0f/kR0cicgEQYiN9juuXQwreZWM7+cjb+3leH14PEFOao2Qpy6sole2tlBpnpUc7nDZP8iZR/65j46aWcLlWyGj1ML7pAWV1N4XNmT2aRbkerIHx/Aazm13ejn/QHQb2rbf3dNB+zv6B/KvGGhqoY0QiYU+aseD94XzqZiHjCedPytBEARByCiDAEB4QKwQgbVr1w459qUvfYn/YoFd0h//+Mf8pweqC7z77rvj6LGg5c0drZzszuEJJHUXJhZQuuCOCm+AHLOBENkP11TE+p9ySCVt1SiqJy2ooB3NDtrd5uCdLa2CqqfUBYLBcOxrIMS7UmYjkcFooKlFdjr90Cnj7ndFvo29AnCdXn+IF/DY+f/HJ82ceDCWgqlVoJt63DxWKMdQphF3e9mKWup1++h3b+9nI4nXH2CjxmSh3alDyTBkJT9vZXKTfglCOqP9jmsXw8ky5j29sT6yyEY4U3Wxnfo9AXp9ezhnD2QPyvphYc0lVINIoGpimQhjwE2fnz8kR4kKcRqJy36sc6OPA3hRoZ9IFgtDKDwKEG6A15XhsbHbxSFk8EyA7MP58FRIxq79RH9WgiAIgpBxBgEhvT0D/rEVsZOmSYudVDGu9766K5LoD+73QWuIVh02la4+cc6gpE+oVw131FWHVg0yXEQrdShRaDWbqKLAyIolQgU4gSARLZ1ePO7x4f2I6f/JS9uouz8cmwvKci28o4VjHn8wpoKJvrf2udltlyxQdk1s8LjoqFo+b+2OVnpifR0bHBRFOWbOlzCRRIdidDjdfM8smTeNEyUKgjAYtaiFHB3pgnq813t9R2tkkY3v6p5WB3tYPb6+jl74sInlD/5+s3YPyyUYA6aV5NCUQjvLKBgD9HIbaD2ihiPWudrj6/a0s9E0Ot8AZJ/KJQPDYzAUoi6nhw2iKqkhvLtg2E0GeoYL9HWyk7gKgpB6DJfbBLr1waYemha06upJyc6NImQGYhAQJgyUw4JLZnleLu+cT1bsJOLyobgizjUYDPHivdvlpztf2saLbihqKunT3PL8cLbqT1v4fdGLbKXUYYfp/ld38e57p9nIu0xIFlhZaOMdMQjkWGMcTpgrcC2458KAgZAHZOru8wSoKMBBsVwdADkO9IQ+ro8x5NlMPP8Y0/q9nWwQwI483H89/nB5RLRvMhnYFXei0QvFcLv7+N6ZKzk8BWEQExX3rkXlJFGLbJ8fnkoIkTJH5CX6dO/FS+nWLyyiH7+wlT0DYAwYrXu8NnTI2evisoajqTaiPLmi8w2snFPO+QaU4XF/p5PruJjIMCSpYbJQhovJ+AwFQUgPouUDNqeQnFXpeXgdVViKjB7qCTZyVRbIDyU71eaWyBdhOMQgIEwYVYU2jqdvdnqoLG/0ymGigJDEdbG43tPq5MU0FEPEw0Lw4vlIkz4ppe43b+yidoeHmgPhcn6IxYfHQIHdzJUMYhk9YgnzWP1G3e4yxOz6guQPBDn0AWOwmAzU2uuOVC7Qe6/emJAjAGPG2NEGK8AhojmVeewtMNHGmuhQjA6nh6bYTXzvCIIwssoCif7OaneYohfZdZ39bFydXZE3RF7GiuvX6x+uAXkEyvNtHPv/j0+b2cPAFwjQtJwANbrNnJvlnKXVVFloZ6+nygJ7pPLLSPMNQM5p5SF+Cxq73VSSZ+Fra5MaJnN3bSI/Q0EQ0oto+YDS2KjgAhmFMFYYB7DYh9tTVb6NuntCfD7kIo5D94Reilwu8ysLRL4IcRGDgDBhIFP0GYuqOIfAZMZOKoUWiQNRwxo1BcwmIyuFHQ4vn6NNwoeEe8jGH8twoXbfIXQhgGEQ8ASw244yfuE4W1hpo11klbCPFuaxhDXagHINjwa8B8YAVAxAZYTiPIuuF4N2zEiSiJ0wlQQMYwRQjHEMscCBQJDbR+LF0jzbhBtrokMxkEMA9wzuHUEQJj5bvd4ONv4Qmw95CSMvdv9ZpljMQwy98XIDKCPAxn0d9ObOdi6DCu8DKMADYo4xUIiKjCFq6wuwnPrlKzv5uIr3h/w6cX4FHTWrdIhxQO/6uK7W8Ii+V8L7ymjgZKoIw8IYtWEFydhdk4oDgiAooyNClLS5VbTyAaWh4RkKmVeWZ2XdFSGgCGudV55HBqOPyvOstKvdycfhDYrzIM/wPrw/Wr5ojbCxjKpC9iAGAWFCOXFBJceDT1aVASV4a4rstKO5l93ksaiekmOJLJI5bj5E9ItXdoQNBAaiqgIbK4d6/VVCe1pxDhXmWKip28UhCBDcdrOBinL0F+vqfTNKciLCvK7LpasMao0OyBcAt1ZQnGuh2tJcKs21xlUk0Xdcq6XPQwc7XVSWb6V/P30BjxVjxtjzrSZq7vWzIg4jyGHVRdwemMjPSavAh6sMhI00giBMbLb6WDvY2JmC3AQGA+RDHicsjWXo1Yv3h6EBpU2be92ciBVYjOFFvkpqimvgn5FrEYUNogPAGIBzm3s99NT7B+nZzQ1snPjWqfOG5HyJ7o/W8AhjKcYAbwd1HbXLlszde6k4IAjZjTK4IvcU8pbk28xcghXyCbJGyQcYDLWlsVENq7vfwSFQeL3MbOBHhDshyTRCQ+FRqkpL49/KsAn5guve9+pOrrAFYBCNlptCdjFqgwBK723YsIHq6uqov7+fKioqaNmyZVyOTxBGAnZ751YaJzzhiRK82P3GTjsW6hCurQ4vdfb7eDEPV1T0ZVtzL+9WAQhU6KCxlEH02+ML0EcNPewdoJRbk5E40zastHCpjV6sa5VBJcxjKYOw4qLPiGsFoYFcV7D8Yv7acyxcMUDvvRGlHmPhCgtBngOMsbokh5V71OnGHMA6XZlv5R+QtTvb6JOmXh5DsuPOou8B9Yc8DJ2dnUm7rjB65DcgNZiIbPV6O9iouqJ2oApyzFTX0c/u9qimsurQKfSlo6YP24dfvbaTfvfWPnbNx6480rtCPqkcfsoQEF3sRPvcMPCn0v7h32gLivUdL26lxh4XffPU+cMaHlEx4eVPmzmnCowbM8pyWebz7lsgSHMr8pO2ey8VBzIPkY/CSNGWO4UshHxz+4Lk9voj+ib0M8iifp+f8zup0tgN3f1sDDj5kAp6f38ntTg8ZDDY+Pkb29v49Zri3EhpacitXIuZk2oD9vByerkNSNY2h4dzSUk4QfYyYoPAO++8Q/fffz+98MIL5PP5qKioiHJyclhZhwCcPXs2XXPNNfT1r3+dCgoKkttrIWOYqIRK2p0u7LKHrbF+mlpZwIn46rtcXA0AO0J/3FhPLT3hMoIwGmCB3+vycw3rWMogyldipwqlAPk5lNtAiBpQzqrXzTtQ0WEDShlEDgElzFfrKIOYIwhvCGy0yXmuBjRmuNQixhYCH+UDY3kwIJSBx2A0UIHFzIaEJ9Yf4FrhWPAvnV7E8zG9JId/kBCrBuMG5gqJF5MZdyZJtdID+Q1ILSDTYNDTK+GXKPRCjaBAwk01x2ql/U3h3fUg8poaiNbt7WCDQLw+X//792l7izNyDK6vWgOA8gbQI/o1bXlUXN/nD4c89bj8dM+aXbRmazPdcuaiuHODPuO9JoOBUJkQxo2FUwuoG4lbB3bfRhI6Nlak4kBmIPJRGKvBFSFKkGWocALvT5Q87fP46c8bD7ChEvIWi/ll84s5kesnjT3k8Pg5J8rG/V101IwSmp4XoHqniZ/jNXgbYFML3gaH1xTRjhYHtwMdF/qfw+0nAxnIBiuDwUgBL97jl3ClLGZEKXS/+MUv0sUXX0wzZ86kV155hfr6+qijo4MOHjzIFtBdu3bRD37wA3rttddo/vz5tGbNmuT3XEh7ot1R8YjnOJ4swYtdnj5XOE7VNbDwPdjtYoG8pb47YjBABCt0TSy2kWwvnHRPXxlE21DIZ5bn8iNc73nnasD11WwwcJsQxNFjgzL47dPm05EzSuiMQ6tYMdSbIxsr/OHEethFgyEAgtxiNnDIAJLMIPOsHugz+q4SB2JMYeV7YKyhEG2p7+E5wFxgTjA3mCPMFeaMww0GwgfS9R4Qxo78BqQWMKLd+NQW+uFzn3C2/MYuV1KUOBVqhEXyh/U9HK6EHSYYEbFARmJTLNNRlaQyP76cQOLVi/9r/SBjgDYPgAL/htETCVkh93IsRn6OU2B8KLSbqSTXwt4A0R4D2nAC8HFDH137+0103e838ZzF+l1A3zEGtIIxYWwYI8aKMWPsmAOcizlJNPjsYCxG2+pzxaNen4XUQ+SjMBzQaWDo0+o2yksUhlYodTACGEIU8Zxau6MtUu0KHlkwBlx69HQ2BEwvzaVDpxZSh8NDf3rvAL30UTM/4jmO43Wch/PxPrwf7aA9tAtdNRAKktMXINeAdwJkbrSOq9dvIYs9BM466yz6y1/+QhaLfhkyWD7xd8UVV9DWrVupqakp0f0UMpCJTKikBC/cqNr6vLwbBMGIXXDsrh83t5zer+uiaiSY8gdYEcVOOZRDLKDhVQXlMFbCPrQNty+06fSGF9wAiuz8qQVkNxnZCwGu/9o2oCT/zzv7qMTkof19RvrfdXX03TMOieyQq1CBaaU5lGfLpU6Hl/sFNRzxZADWYJX9Ww9cD32//7Xd1OsOu53B2yGsbJsox2zieYdR4vkPG3lO2P3WYOC5ghKerLhWSaqVHshvQOowUZnp1XWQzbqmOIdL9sEQiez+KsyId+iDQS5B2O8L52DRUygffnMPPbcFLvjRQQBhIM+qCqxclQCJAWHghMKqkmwhJKuzo4NCtnxaNqM0IhsR51/X3k9rd7RGYmGB8jgA2PVy+/rprpe3U3mBja8RLbvRd+SVQQ4BjAmeABgjxgrFvLrYzkYDnJfMSg5ScSA9EfkojMULUnmJIpYf+lw4oWqQKzx9bm45vbWrnXU/rW4EfQ8eTTVFOYMSDSKvQDAUfo7jeF2dr9Wx4O2E3FjTSnLYgxVeVYaBfFQou62VNeK9mV2MyCDwb//2byNucNGiRfwnCKmUUEkJ3t+s3UNuLPgtRqottPOuOAwCUEK3NfdF+oJQAbfPQ75giN1oSnJtXN4qXttw61curKhcEOB/GajX5aOdPW5+7ZF/7mVNFUIVxoD7Xt3FRofCQuJrIdniz/5vGyuB2C1ScV6d/V6Obc2xmsnl84bjZwcW9mj/ipXx407R9+IcM/8Q+HhHLpzsEMYANe+YA7jPwmsA7mRYlGOu4JGQrLhWSaqVHshvQOowEUY0LE5f3x4uW6Vi6KFo7uvop3te2ckLa+RbQRjS6ztaWXZZDYYhcgIy7o/v1XPCQSi7MJBq3fwV5y2roetOnhuz/+FcIiYqLS0lI/z6oxKdor+/fWM3PfNBwxCDAAyaMCzAYPDdpz+kKz83k647ed6QGH6MAbtqpyyo5LhbeHTBGAv5O6ssl/LtFnbl3T0wN9F9GC9iHE1fRD4KIzH0IZkzvI8efGM3CykkdVaJA6eXGlkfhe4Fj4EN+zoH6X4wUuK8eZUFQxIN5pjCmzs4xxUIDUogqD0fXqLI+QJZjJLO0PVgCMA1kcxQeaiq6gOqnypcTAyUmc24qgw4HA7+odZSiJWNIKRgQiUswqHI/viFrWQ2GdiCCiEJ11BVWUD1BQIT22HYJccOFXaJ4glDtpoaiJVlLNS7nD7yBrCYDtGBjn6yqJACk5EX+a0ONz3y1j4W5tq4HSix7U4f/ej5T6mhy8X9hDKKnas9rU5uG9jNRh6LSlgYK1xA+4OE0oo2i4mV42AobI3WzjvmAHOBnAFQSjnZVyBEt35h0aBdtUQiSbXSG/kNmHiSbUQblHzV4WFZgQoqkEGQP9ixgnKIBfO9Fy/lnAF6SWFhDEAVAXgFQJwql37IO+0dc/TMYvrlRUvH1Wdc9xcXLaUDnU7auL97UKJByGAFjL/3vbqbZeYPzz40Zgw/3PWhwGOsUMgxdhhQEVKFNh5fX0cvfNiU0B0zMY5mHiIfBWXogy6HnCtIGIhNlv/8+zaqLcullbNLWUbNLM0L7+BbwiFK1cWmiO63v72fZpbl8g4+dDEYKiGjIYvg8YnkrgilKsgJkNfp4+MqGbQ6HwkD93eEy2BPKbBxMm30a1Z5HlUXhr0J0FdVahV6K4zAMOKi1Cu8pKAPioEycxm1QWDfvn10ww030Nq1a8nt/ixWED+eSKwWCIT3RQVhJMSrUZ0MtMI0egGKP96ZP9BF963ZRUZTOB/ASJIKAiyoYeGt7+wnk9FIdqMpHEZARNVFdhbQ3U4vW2gffnMvlyaMxdu72jlMAW5g2LWaXprDBgEopV5/iJPDQGGH+xdceuMpjYOSChoMHCfm8AbIbDTStSfNGVR/dsji/PjwD0om3QPC+JDfgMklmUY07W4W4k1hHIRyGTYiEhs1C2wWyrOYIwokYt/1yqQ++vZ+llXKiMnLcuRUMRpYiV00tYAuObqWLj16BiWKP3/9c/TH9+po3e4OemtXG7veQn4rkwBCHrBL9sT6Ojamaj0F1BgQL6vdqcfuHBTyve1Odr/FrhrmJtEu/WIczQxEPgp6iVmh98EYqqKmvP4A64eI58fmizIEwoMAIEQJXknQ+RBuevUJs+nC5dOH6ExIVv2PT5s5MTUqTX15xQzeINLqUtoNKySOxn0I/TO6HCHkvKp6gP7RQH8DA54FCA0TA2XmMmqDwFe+8hUWbI8++ihVVVXxjSUI4yG6RnSyyhCqdrGzfvnKGRx/Cld69g7Q9AXnGIyIIzWEQwYMSPISIG/ASI3dLm5Hr184BnfTx9bt57ha7MhDmHc6fXSg08WVDdgjAPH7KB/oit1X/GbgPAjoPa0OVmQhmLEzV8QuXhR25w+EeNEea57Q1w/ru/l9OL/AZg6795oMPEZUWNC+l13GDMQ/SnATQyxvMjJexyozKKQ+8huQudUFot3W51cW0O52B5112BQuZQUPJxgJhtu9fnJDHe+sK5QLP2Qp3vPlFdMji/FEAwMD/uDp8Os3drOBFrKT71KEWQ14DWCX/4zFU3XLyGp36jFm7M6hnNeLHzezMSBZLv1K0YdRGmh/m4T0QORjdqOn25y0oIL+Z10dyyHIQSRKhaUUGzpw1//8wioO14Q8gbypyLdyvhKEKOEROmu0LFBtwyB7+qFVdLCpjaZNraC5lfoeKHg/2uH28myRcoRabwL8nqiqB9w/i5FcqNwSzh3L41CybqLKhQspbBD48MMPadOmTbRgwYLk9EjIapKVxES1Gy436ONQAJS7QhbWKUX2sMv8gMUVi3DlOg9vAiziIcQ7HD66++UdnOEagvGio4aW+YP77Bs7WnkXCjFZu1sdvNOPBH6wxIarDoQ4ln84VAIu/B87aqgqEBxIkoWFOgwGsdz5IaxRsgaJv1B6BnkK0BySCtotYUMFxoixqgW/chWLN0eJ/CwkUU16Ir8Bk4fed0dbyjQZbuuITZ1bWUCFdguHCQy3e/29Zz6kv3zQEMkVAGNmOH8/0fHzyumHXzh0QhRItbhGQsNnN4cTGqIviuZeD93yl4/oz18/dtideuRLQILBHEtb0l36lRwW+ZieiHzMXqLlMxKTYrd+5ZxyemNHGx9H1RLoVWZDeIMH50Fv1IZeRdz2R+gpNLs8n4qNXiotjX1OtFyDNwFKVWu9CaA3qqoHMN76B0ohIs8AjmMc0BfhlYDfApFRWW4QOOqoo6i+vl6EnZBwkpVlWbULNyiUc4EwDpcTNPJzHEesK6y1iKuHgFs4pYC21Aeotc8TLnnFNaqRWMvLcVWw9v7j0xZadegUFuSqf3hEnBeuB2MClOI5lflkN5loe0svefwhMpmMfP3hgO6KMoFQZPGI3Xxk/cdOP4wB1500Z4gxAGN9emM9vfxpM2eQhQcBvAE4GaE3nJ0WC3z8GGCMKFkGoQ6XNfwIYA4wJ+i3xx/guDc1R4n8LCSTdvoivwGTw0R8d6KVRmT3h+z77do94cSjM0vYOIhEVXqGSGT7/8sHBzlGVguMojBiDmcMGO2u03Dn49hdFy7hHa//Xbd/SL/e299F3/nzliE5DLQ79Rv3dbBhFV4FMKD2e/zsMZYMl36Rj+mPyMfsJPq7i/LND7y+m3flOU/V9GJOXA0ZgtAj7MZDP1u1tCqyGI/21OR/a0I6E5VHa1drX0SGKxkKcB0YMZ7Z1BAuS+iFl4JpkL7IuWX6wgkJ4UEmMiqLDQL//d//TV//+tepoaGBFi9ePKTMyuGHH57I/glZRLKyLKt2oRRioWszGcnnD/BCmV1JDcQLfyRNQWIXCDgI7nOWVdPv1x/gZC0HulxkMRp4h91iQqbsEIcPIDwAHgEwAigLqVaZRFUBuIDhGri2hR/1S2/FAt5l6GdBjoVj0aDU6nkGwDqtEsfgRwkeDrgSQgTs7KVgonybib523Ez+MYBwVz9e+zudPAeIEQ6X3UK4QniucG3l2paoz0Iyaacv8hswOUzUd0cpowip+tvmRlYMcS0ouE9uOMALe+QtgVIYvSuEEqp6tk4YIf/99AVx+zlaz6HRnI8Eggi9WruzfchrKIc4pyJvSAiDqvKC2FnIb+QSyLUih0uQfxuiw80SgcjH9EfkY3ai/e7CGxQ5m6A7YeHs8vhp4/4uuvqEWTSjLI9e29ZCr3zawoYBGBshY6Bz4v2QL9DLkAAack0lQNEmPVWerCpkDKUKDzb1UKgdFbRMg87T/jt6Z///Pm6KXPezjbBu7lee1czVXxZOLeQQ0r9ubmBPV4ynpdfD48M4RUZlsUGgra2N9uzZQ1deeWXkGHYQJGGKkKpZllW7yg0KiVSg4HkHdt6x0FVJXLRKGBQ+WFORFRbu8w6vn2Uz3gespnBMLMIDoJji3OiY3pMXVHJZLghL7PSz0TdGLW49PqvbHeJYWCjjpy+q5ESDQFl3VTIY9EW5eqm3YoGPHS0YE4rzrHTKIVVDFE+MvbHbzXMRHlM4GRjmikvZDOyIJeqzkEza6Yv8BkwOE/Hd0S6yYbeEYnjo1MJB9a6RjA9eVtG7QpBFHxzo1m33/CNq4i7uR7szPpad9K9+bha9s7uDDaRaEB/72Dv7B+UTUO37AkGW/ah0CPm4cGoBK8PPvN/A8jHR7rIiH9MfkY/Zifa76/MH2asS+mWfyxfx7Hzkn/vowuU1bAxoc3hYH4RcRcJSVBRAWcKPDvbw8cNrijjeX3mvYvGtdFXInn5PgBfoeI1CQZpiD9DOrhDZrGbW9aDHWS3hjRyABNXd/d7Izn5Dj4ue/7CRkwxChuI5QqvQNmReLxE9+0EDVRS0cxuq/Cp0SIQ7YHxoz2kOl0MUGZWFBoGvfe1rtGzZMvrjH/8oCVOEhJKsLMvadpGkJeD2kdWCne8QP0esP+5ilcRFKWHaUoRmk5eCnsEJssKu/EZOvrevzcnlDJWSCEursrz29HvJ4QkMKbc1GuBy6/EFWUFds62FE9Bor6GUd+zwt/Z6OGeAFvS1NNdC1xw/OzKfWsUTY0ciGxzDucghgNgxNUf4MUn0ZyGZtNMT+Q2YHJL93cEiGDvikDEwEMI1FHIAiiKUThgJ4TEEWYC8AtG7QvCIQnhRNEhMhczXidwZH8tOOjyqTltYSf/3acuQ1xDXi/6r96r2MQ8ouQX5CpmKUrCYk+IcM9UU51JDdz/9Zu0eNgYnohqLyMf0R+Rj9qANWQLHzi6jv24+SB1OH4cYBSnEMsNgNPDiHSGYf3yvnpp73fwcXptOj491Lsgx5IeCZyf+zRtPBuKcTvBuZe+BqM0khJ72YBOHQpRvCJHbb6B+vy/yutJVgdngo5AhXHoVCV8h03FdTlbtR2hYWE9EjqncgRBTyMU8m2lQ+VVcE/3A+Ha1Oagkx8pepyAZCaiFFDYI1NXV0fPPP09z585NTo+ErCZWCbrxZjTVtqtcrbSP7+7p4J38WKUIX9/eQr97ex+HDUBBdPsg6onyrCZegGMxDjfamqIcVhLZ8lqaS+V5Vt7Zh5DPtRip3/fZQn0kfgKw8kIZhcWXKx34g2HrruYabN3t7mdFFbtX6JPTG+AfA5VAENf/7qpDImVrohVP5BA4+/BqOmZO2ZC5GW8m8+jPTsoMpjfyGzB5JCu2FCAJKVxXsTsEGVdTZGdjKeJcVb1rZKaGMUBv5xpusHrhAucsqR62n6PdGR/rTvpvVx9Jl//uXfrnro5Bx+E1gFwBSj6q9mEoxTxAEYZjAXK3YE5gDIBS39Tj4Z0/GIP1QijGglQaSG9EPmYHWm8q5eYP4w+MAQjWxC465CEKT+caDayrTSmw06dNvQPKn4GNjGG/0RAnOfX6wmVSsUo/2OmkHneAZRMSQw+HntlJq2PCaxQHXMEg7WjpY89P5Mw60Bk2pGJzi98TCg30K/x+yEGUmkXI1N42J8tClSgW+05dLi/nZ4GhA7qiJBnMIoPAKaecwllURdgJySK6BF2istLrlbbTto1FN3aQoqsHqH+/8GETC8upxTn0aUMP9XuD1Nnvo26Xj4Upu3X5w14GsJ6qXTVYeyHglavqaDII4C1QxPEmvA+WYrSnrgGrbjd2rPKs1NTjpqZuN+cowFtyrUY6tKaI3f3xQxWtWCrFEwsB1MJVngeJFOaxPjspM5i+yG/A5BD9XYJASKR3AGQA5Anc46HwQfHDwvhLR05jL6jWXnfMKgO/eWMXlyXUAhlUmmehq0+ck/Cd8fHspN/2xcV08UPrqN05WMl+c2d7pKSstn3IbSjzKCk7ozyX3X73tTtY8fcFg5Gdv0Qm1pJKA+mLyMfMR5uoGt/9g10e3rxBwlUssgE2Ytw+P7n9Ic7/BGMADJeoUmWgEOuOMLYqWQm3fGzMQJ7ASwvyCSEHyCGl2UeKyUj1SlwLC354nCKnFI4g1BR9xWteP5KnhvtiGfgtwIYSDAhlML72uclsRknu8PFgEF4HPjKZ/DSvKp83ppDLSpIMZoFB4Atf+ALdeOON9PHHH9Nhhx02JGHKF7/4xUT2T8hyEp11OdrFK7rt9Xs72SAQjVZBDC+6iSoKrFRdlMMKaZfTR1sbe1mYIysr77INZGJla+pAXP5Y4LcFQ2ywgGdCn8fH8Wdod397P/8QoT8wBGA3qzjXSo09cG31c1/huRBPWcaYYdmtHthpU/MLxrOLLxmzMxP5DZh4kv1dwvccBkbsAiFWHgojdr2wIH1m08HIovTei5fqem8hKzXCi2xmA1dSAZBXX1r+WQWW4YjnObS33cFJs6YFrZE622P1NMJ5py6soqfeP8jPsS8GIwhiZLVhA9Htq0U6vMHgSusPBlnWq52/RCXWErmZ3oh8zEy0uiMe4cqPECns6ENWwjCgjAEgEMQxE5mDAbIYjSwfIBNRshqy9vfv1vGiGwmcIV+xscQx+rlW3nVHyerZ5Xm8WN/X3q+74B/Ya2KgcypUdSq986uL7Jx4sK7DyfKEcwu4vLSnzUlleZawJ2ogxGGqR88qo4YuN+1ud3ClhBPnl9NzWxrDSbKD4XxVPGT0IxCiPS1O9o7AMVS7uvnMheP27hVS2CCA7Kngxz/+8ZDXJGGKkGgSmXU5eocN8V6jaVspiAgfeHx9Hc0tz+dELz5/iAUjhD2EMNy77GYju93ChR8/ElrRDJssDL4QuHC5gmuZqtMdHfcFlNDNMRu4sgHHpLFADnsImAxGzjKL55VFdnbvgvCGEL985QxOIhhrrmLNL4Q5vAXGs0MlGbMzE/kNmHiS/V1SLvJYhCJxHmRMh8MbCYPSLkqPnVM+pG/INwA5B1uACnPCbhlKso4GrecQShi+/EkzfdrYTc3dLqrODdCBvl00b0oBVwRAzP5YPY2OmlXKCbQgaKGcQw5DSmvDBrT90S7SkWRxb4eTja1I8qp2/hKVWEvkZnoj8jHziNYdUX4VO+HQ06DrwSCA3X6EaCq9Dp5F8ASYUmij/zxvcSQs9dVtrSwf4eVZW5bLIVjYzPmwvoeTOON5Zz+SVhv5+IzSPDZCwmDJeqIhbETAeVZz+L1IKlicG6IyP+RYuMw0vAzQRyzuIbfQVySERYUp5IVRZbehK7b0YXFvYPmCfAfQaxHqCmMA2sG5KEeIxKvv7G6nNoeX5wV6KZflHgi7sphgSDBCOeWxIsRMW9VAPJ0yzCAAq5AgTBSJyrqsVeiQyRVlVP7xaTPvjI+mbW34AM6HVRYWXIQH4DXU7d7T7uQkUwU2M21v7uMtKCh2hlDYS8CGZC6cxMVABhPxD8bFR5RTk9tMT7xbTwFe3IdL/+F9kPfYfZtelkv7251sTJhWksM7eQgngBsrchvsaHHwuPIs4fmCoI9nDIg1vzBsYG4g5eEqjJCDsexQScbszER+AyaeZH+XtB5QMAQg2VVhjoWNAcMtSqEMQ/FUm2Oqqurph8aXPfFY/bt36e1dHRHDKJJmFZlC1OMO0nv7u+m9xzbS8fPK6ImrjhlT+wifQpLVlr6wYqsXNhBvkT67LG+gao0h4cn/RG6mNyIfMws9jx2ER2FnHUYALISVm7/DHaCpRTnk9Qd4YYwQTyRyhhcRyjzjPHynsSBHuAHKEZbmWLnNygIbL7yVPPnikmpOGo3nU4py6KvHzqTKARmgwj/Vznu47GAbTZtaQQaDcZAXrMpFEh3ypW0fxgcklUbOFPQPOWMg38rziGaU5nP/8F4YBL592nxOPtvS4+b8KUU5Vt6MgocDlEYu0Vqay3ms4DmGpITi6ZShBgFBmEiGixUdqTuSUujg1rW/qZ9dYqHArpxdyrFc2E2HW9fJh1Twueraw/UJVlvsiCFerDTXSvs7nawkYiENzwGzEdUMULrKSEaTgYIhP1/baDSy69YZh06hC4+soWKjl0pLS6ks30ZPbqinlj43W2rL863U2gcF3cjtcjsGWKJNLMS5LKDZyAIZAh3HRqqgqrmDtRs/cN2usFvY1CI7hxFgXPByqC628w/fcDtU0Z+FZMwWhMQwEd+l6MSrUGBHsihFLevoZILYJUP96rEaA96KSvqnB84561f/pBe/ecKor4F5g4eBChtQQN5pwwbiLdLhAXHT5+ePO+mqXt9EbgpC6oQHRHvsQFfCQhfGT2z88C69wUDXnDB70GJdJWWGTNG2AUNrOOyIIt/xb506b0gI1HD6rToGI1RYh8xn3VIvBxbAgj5W+yokCv3BcFTyVK1BGOOoLsmh75+5cEjy6Z++tI36PX5+H+YDxg3kWCnPG+rppOZHwggywCCwceNGeuONN6i1tXWINfSee+6hZPLggw/Sz3/+c2pubqYlS5bQAw88QEcffXTM859++mn64Q9/SPv376d58+bRXXfdRWeeeWbkdVj9brvtNnrkkUeou7ubPve5z9Fvf/tbPlfR2dlJ3/jGN+iFF17gL9sFF1xA999/P+Xny408EcSKFR1NskG8DzvfyKKNR+XW1NjjpuPnlfOCGG6vT244wLv/UPai29MKT22fthzoilheIQRh6YV1FWX74KgFT4CqIhvHnGkNAXCnxVjwHcI9BuAKC6GtEv0hnksZHArh0sv/ERXYzeyOxSVknF5eyMNyO9IfFDV36BN292BgQBswDry1q52viTnC9wNzBotvvB2qWJ+FVBTITCbzNyBbmYjvktYFHzlQhluUQr6s29PxWbgTwgU4zGlspdYQJjASY4Di08Y+NiCMxVMAnlUAPeUwB477DVFrX1hhHckiPRGlBvUQuZneiHxMX6J1GbjKRxsDOdRoIDwURkRsxkD/0oYbaRODQueE9+hIDIrRi/lEfvej29M+VxW1YhmEcezhf+5lGamnb8MwjMpXLX2eSK6Ehm73EKOy0pcljCADDAI//elP6Qc/+AEtWLBgSI3VZNdbfeqpp+imm26ihx56iFasWEH33XcfnXHGGbRjxw6qrBz6w7xu3Tq69NJL6c4776Szzz6bnnzySTr33HPpgw8+oMWLF/M5d999N/3qV7+i//3f/6VZs2ax8QBtbt26lez28ALosssuo6amJlqzZg35fD668sor6ZprruH2hIkhWpCNNvFSeEeogv5nXR2745tMA25NvgAbAxAHBQEPpRBxVXDn0rYXL1s+Ymq1llf8ECDLKlxvC+1mjvOCgqwyVStDQKyEWXjtljMX0UVHhRfzSoC2O70cA4aY14OdLjYKXLailpbWluj+oMTqszZDLsaKMWPsmAPMBay6mJuGHjch3BHWYsxdrB+m4T4LqSiQWUzmb4CQPPA91pa605Y4RKw8FNdod3re7TF8ltxKlaMqsptjlsuLt+t1+/OfjLrfCC2AIUG7OB+J51hlgZ1DruApNlDym8eB43p9xs7YpUdP53hexOFCnj+zqT4yX4mWcaq94TzWhNRC5GP6oqfLQPeCUUBt+mCxi9fhBYocAAjThGemSsQcq51+LxKuBkdkUBxtIj69pKvDjVOv/VgGYTVmFfIQreOhPYQfQCZytS1vgI0B2nlTxhU8l4SpGWIQwM74o48+Sl/96ldpooFl9eqrr+YFOYBh4MUXX+T+3Hzzzbp9XbVqFX33u9/l53fccQcv6n/961/ze3FTwqgA4X3OOefwOY8//jgL8eeee44uueQS2rZtG7388sts8T3yyCP5HHglwMvgF7/4BVVXV0/oHAhjT7yE6gFv7GjjWK/KfBvHS1kQAxYIUqHdSoGQm3f13f5wTgCUgVHK2HDGB60ghUFAxb4W5Vrp3KXVQxbtCizan3h3PxUZPdQTbKTVx8yMWEtVm1qDA4wDyPKKvuEaUF6jk3wNt0hXc4f4NijDasxIcoMQCHg5WMxGWjSlgFodHn6uV3lhPJ+FkL5M5m9ANpOo8qux2r7/tV3U2ufh5zkWIxXYLRF3UFYGLaYh14VM63R4I5muFV87bpbudz/eGLCo39/hGnXfcWkkH1TK9UjnCYt4ZPlGdmzVDp5HGzJUe03dLjYGYF6gGMOzyjVQDwxeYXD5TeROVzI/byF5iHxMX2LpMtDflA6GxM6/XbuHX8M5yNkUre/ohxn46JRDKmluZX5cA+Jov/fxdMjxtK+8lGAk3t3aRy9+3BwZc7SOFz3eYE5oyLyp8Iu/fNAgumKmGATg8gy3+onG6/XSpk2b6JZbbhnUl9NOO43Wr1+v+x4ch0eBFuz+Y7EP9u3bx6EHaENRVFTE3gd4LwwCeCwuLo4YAwDOx7U3bNhA55133pDrejwe/lP09vbyI1zHsjnhDMYOxTIRc1BZYOUaqh1ONwuVDqeHn+P47tZezu5fVWij2eWfCRmUdLnmuFn0xAbE/ntY+TtqZjFtqe8ml9dHFgNxLVYu7+fFI1FjVz//9Xt8A0KMqCLPykKsucfFbUZbaiGc7WYDTasKJ2NBgj4k2MK52rGrc5EhtirfSj09QX6+tLZoUL9V35E4Bm1p2451Pvqm1+fNdeHQBNSX5TEaQjxm5E/AHORajbR0upoTP3s4rF4xQ7fvao7jfRbj/awTec+kK6k29kT8BoiMHN29/pmsCNGMkpy43/3Rgrb/+6091OFwkw15ToJEfS4fu7jOm5JPTd39vHt+WE0RG1G1131vbzvLCZTu04Ja29HjGG4M7+5p46zcenuoRTYjVeYbaX8vElcNpc/l4euNZp7Qd87nojkGTykcV3Jdtefx+snrC3D/+t1e6g3CkBziTN9cstDh5jlMxOcxkrlSiHwMk0rjF/mYHJJxr2v1GHyv4ukykAn4w3v0zoG8fOb9A9wuckFpz9nV2kddTi+99FEjV27BTky07jgWOT8aHXIs7W/e38n6Mvre6fDQrmCQ5lcWDBkzwqygU8abNwAdNp6uGP15jBeRj2FGOv5RGwRQXxVx/NhZn0ja29u5XAt277Xg+fbt23Xfg8W+3vk4rl5Xx+KdEx2OYDabOQGcOicahCjcfvvtQ453dXWR3++nbL4p+/r6+AuKH83xUGwkunxZGf1jawu53X00xW6iMxZV0Ye7DoaP+QIcF49jJ2rcsk6alUvzSmbS2u0tvOhtam2nMnNYaBQUE7l8IfYOsBg97N73/Hs72a20whIgsz9ERXYL9Xh9NLvQQPnkjsT+K+C2BUttVb6NDEYflZkN1OLwcAZYJH3RP9dKRZYAzS8yxTx3tG2jb7PhOeZ3RvpcYfHRixt38m5eiSlc5aCgBIYAP+VYULvWy8cwJ9V2YsPASYdUUU1xzqBxvrmjdcgc630W6FP0/EzmPZOuYPypRCJ+A0RGju5eH813f7SotmcVhF1CsUiGHDQZg1Ri9PJxONSXmL00Pdc86Lp1jS00u/CzRbxyFMDxzs78UY3B5+zjtvRYNi2fZSQ8mXrdQ8u2VdkCLGtGM0/RfVf91/ZdtTe1wERmJNAyGbgPvDBDKVhLiMxI7uoPUr4xMZ/HSOZKIfIx9WSkyMfkkOh7XU+Pga44nC7j7HXRKTNzWH/0u718zozSHHr4lS3U7fJHDKJHVxdSXaeLHE58l300rcJM04ut1OP20Stb9tC8EgPrVuOR88nUIRu6XdzPKmuI5hdaqb7bT31uD7mdQZpit/CYH1nzIedRANioyiUzz0mZOaw/Ont7qFPTbiy9Hdf+6/rtcXX3sSDycXTycdQGgX//93+ns846i+bMmUOLFi0ii8Uy6PVnn32Wsh14MWg9E2DdnT59OpWUlFBh4dgyL2cC+HJiwYl5SMSX87yVpbRk3rSIRRF8588fUihk4symzXCT39zB52itjd1BB72+fz+FQtawKxcSpgSC9K/Hz2bLbofDQ//91l52ly23h+Ol4O5l8hB5Ozzsan/1cbPpsNk1Q/qEGC64bXX3hKg8L1xOxmCwcTkYZIDVOxdWXQjynT0IZNU/d7Rtl5YSnd4Vokfe3kuODg+PJRA0U7HBEhkzlNir44z59f0uOuvookFtw4KLOY2e419etGTQZ5EI624y7pl0BAbIVCIRvwEiI0d3r4/muz9awm3X04G+AJmN2E1BHWoDywJrvpX29YXrXxcUWqnBFRh03RnVDtq7oW1Im20+KxvNRzMGS14h7e1t1+1jw/YemltsoG2dIQrq+BAs8Jr4eqOZp1h9n1FdFem7aq+lz0/NznDWbCMZyB80DngIoDRsiPxBA9VaEvN5jGSuFCIfU09GinxMDom812PpMdBhzlt5SExd5tlNB3nHHO7xJqOZTp5fSSvmlNHP/m8bHexEqUETmxXrHH7q9Lvpe/+yiN3tn1hfR1X5+dQVNFDQHPbWdJB91DIymmTqkDu6O2hvL1FtSR73OzffSo0uB527ZAbNrSygu/5vGx3ohCctPgsDBYJBqiw009GzStlYUr+jj3VIeJiev3xaTL0d8xvv8xiPLinycXTycdRS9Jvf/CZnTz355JOprKxswpKklJeXk8lkopaWlkHH8XzKlCm678HxeOerRxybOnXqoHOWLl0aOQeZYrXAQgtrYazr2mw2/osGN2Q235QA90si5wEJVOYOGBHX7WknhyfAbvIo2VeWZ2fBi7J9cyvDCbFUDJg6r98fIIPRSE6fn6pLcjkeH+0gNHRqnj3STlOPh62W4f0kA6fT1hsD+oMYLsRo1XW5OEZr9TEQoIUxz4XLFqy0EOR4HispzGjaZvi7GXbCRSJCjz/EY9HOjXbMTl+QbFYz9fuDkde31Pfw/Kn8B/h3rDlGO+qzSOV7Jt1ItXEn4jdAZOTo7vVRf/dHAdr41+PnDMohUJBj4Vh5pydIZfmocx2iNqdvyHWPnl3OuQVULL3i44Ze2tfRPygudLgxHDOnnB765z7dPnqCRC5/2BigZxBAXzFno5mnqcW5LBu1PgmGgeNq/rXtWS1+8npClBudQyAQzuWCOUzE5zGSudKS7fIRpNLYRT4mj0Td6/H0GOiKWr1SAf3x4bf3DcpBtW5fJ82dUkB97gCFyMj5lqB3+bx+9mSCbDxl4RR64aNmanN6BxLyeSnXZqEpRTkx5fzDb+2l7S0O3nw6d+lU7pfBMFiejlaHRP/RDipcIQ+Vav+a42fpno/+oZ/afhfn2Xg80KMxPshPCxabIRhFied04/5uLsmI3FTIQYU5WzazdMhvgXZ+h/s8xoPIRxrx2EdtEEA2/r/85S9sAZ1IrFYrLV++nF577TWuFKCsP3h+ww036L5n5cqV/Pq3v/3tyDEkFcRxgKoCWNTjHGUAgCUWuQGuvfbaSBsoR4j8Bbg+eP311/nayDUgpA56taJV7WxtIhVVAmZnax/1uHzkDYQ4LAAJ+7CojW6nobufk0kh9gv1Y1WCvvKCcObt6GSBoykZhXMRvwWXLVhph1Moh2tbGT2QCIyVWLORFlQV8BjaHS5q6HFFxqCtK46xI6ssrLZwi0WZQ6gxj/xzLxsTVPIZXDvWHAvZwWT9BmQ7+O5D5iAeFVnuE1nyTptACqjEeuq5qjIQLXMga1Cu1NPjHrSwbulx6yaKiie/MJ5Z5bm0r71/1P1ftbh61PIX86iqIyjwHMe1c6ttr67DOajKgHa+Ep0US1vlIRntC8lB5GN664qxQClolGA2GQxcarCmyE4+xA0hRNNu5rLVHhYmwUhpaCV/9EqWxtLdEI+vTEi9Lh+XwkYiPpWlPzpBdTwdUrWpLfUH3dDrhzcDfJ2wGHfzhpBexYF4/cb4OjFmP0K4YFhFyJmJvah8fgNt7ejnhK2BUIjnDpWzEvl5CIln1AYBuLjAFWoygAvVFVdcwQn+jj76aI7RcjqdkaoDl19+OdXU1HD8FfjWt75FJ554Iv3yl79k4fynP/2J3n//fXr44YcjliMYC/7zP/+T5s2bFyk7iMoByuiwcOFCrlSA6gaoTICygzBAIOGgVBhILWIJMBCdcb/HhRqyXo4DhYEAwg0CExlRo9tBKS3sQGEhrTKjftLYQz9+YStvwutlah1NqT24RCGGaqSuprHa1ho90GcorodOLeQ+1xTncqwXkmZFC3f8aGDsmIM+t59DCdodHlb0sQiojiozM5IfNyFzmczfgGwmOjs0DHiJzDofLVf0slFHVzSBwobd8ujIf8TZQ/EcyXW03PaFQ+mrj20cVb+Pn1c2xDgyEvmbbwtXWQGq/CD+cFyvz6ge88f36ick63/03GOCRcamByIfU5PoUnuj0WPw3rU72ljfw2Yr9Ku6zn42CsJYinLSf918MJJDAFVHEI6pXbTrGSmjF+zQSSHXS/OsNK00hz462MOL9sNriuhgt4seeH03Xy/XauJS0Kj+hLaidUi0+/TGenp9Ryu5fIFImzUlsdvEhle0wSFWv/GI8X3mVRai4hwzfW5uGW3Y18lzA4MD5gr57DB3KKMda37jfR6jLcEoTKBB4Ec/+hHddttt9Nhjj1Fu7tAsmcnk4osvpra2Nrr11ls5oR929VESUCUFPHDgwCDXiGOPPZaefPJJLiv4/e9/nxf9qDCwePHiyDn/7//9PzYqXHPNNewJcNxxx3Gbdvtnlqk//OEPbAQ49dRTuf0LLriAfvWrX03o2IWRoSfA2B0+qgRMh8PLmfVhvYRO6PIGqb6zn17f3sKPqDl90+fnR8pu3bNm56g9BpIhyKLbjPYIUEYP9BEurVqPgKnFg8eER5T6wo4YxgxjAeYCBhJUYDAawnMVXR5mNB4QQuYxmb8B2Uq8MqKJ/P7Fkiexrod/wwUVLq5qcU0DMgTyZbRgYf8vi6vo/z4ZHOoXi+W1xfTEVcfQWKjTeCJgYw9KMjJezyjLG/H8x/ISS4fPWkgOIh9Tj1il9kaqx+AceErOKMulxm43J16FvKsusrNuiHaLc60sv46aVarr0RPL4Ko1AkCewEuz1+Wnwhz/QICqgXo9fvZmDcvYEC+4/2ddHb3yaQtXsPrSkdM4YR9i8Z95v4GrUTX2uNnjqSwfJbUpbptleVZqc3gGGQfUHMUyrmq9yjbu6+Dw0vfruiJeCFYzccLVGWU5rFsOV1pQ7/OQ0qspbhDAQnjPnj28CJ85c+aQhCkffPABJRMszGOFCKxdu3bIsS996Uv8Fwt4Cfz4xz/mv3gWXxgWhPQgWoDpuSNhVwvuXrD4ItYJO+N+T4h+/frucJZTs4mqiux0zfGzWQBBYI/GY2DhlALa1tw3SJBpXXK1LrgoxYLsr0j4AncvrVKOnXqAHxjsUGmFo/YaI/UIwA8WhCwUeLj1uv3hjK74sVCeEoiNQ5yczWKM6cI1Gg8IIbOY7N+AbCRWfexE1m+O52EU73rHzCmjx9btZ5kBfRXv7fcG6LVtLUM8CkbCb79yJN3x9085ERfCufRAecSvrJxBPzz70DGNFTIWO3paoDxXF+fouqnqzf+nTb1xvcRS+bMWkofIx9RiOAPbSL5TSodEGwunFlAbdsVDRE09btbjVLvQx645cU5cT4NogysMAcoIAO8kyCHoZdBDYYQwGkIUDCEHVDASrsBhr/4g7/A/+s5+eumjJjqq2kLvN3mpqTecBBZtWyxm3vwyhEIx20Rb8CLQGgewUfbIW3vZShovXEkdf3x9XcSbtMHoYn1aeSS4vAGymQ0jcv/Xfh5iGE0Dg4BypReEdEHPHQm7Ws9ubqB+r58XwCwkjcSKWCBI5PX7ye3vp/te3ckCSBvPicX87c9/Stuae6miwMb5CLQeA9idf/7DRnYnU7v1yEILetx+jqvCtQpzLFwDG9FXKBHYHayn2RX5tKPZQd0uL/X2+whOt9itL7Kbw9lScy2RNqOvAY+AHa19XBs7EAxFPAK0RgUIWYypzeGNuPQGgn7uD+YAc4EfiFyrhU5fVEXr93ZKaIAwCPkNmHiSHWOpVb6wo9TQ5eL41Vg5R7RAEYQLa48ryEoy+wUYiHevvrxidDJDKcx4H/7+8WkTHeiA91KQbIF+WhCw0eJpxXT6oVPG5YUFw2xnv4/gxACbA4wYUIZRKkuvnej539vhpO5+H497VmleQpVViadNb0Q+phaJMLBpdUgssLEhdOzsMlqzrYUXwSNpN9rgCn1tdnke79SbDTCi+unAgKcmdDHkK4CXJrS0epaBIQoYQvxeGA0grxDqBPmFRNkfBfvpYG84iTRyG0KPDXr8/H7DwPl6baI9XBf6IDbCYCSA8QCeEPe8spO9FuIZO6PnF78XkI3IJ4C5GqvuKIbRNDAIwBVKENKNaHcksG5vB1tMUS7lQKeLhazXD+tpWHjiEQvnh9/cM2i3H/VWYZlF2SlYdvOsJsqxhrOqwtKaazXzbhkW5XWdTj7H6R1cOxtxVZ3OcP1WROCibuveXh/taHHyghw/CJFzAyFqHzgXO29Yx8M2gWtA0KMkIuL9IeybusPJvfD6UTOLI54Nn3kV5POYMDa+tgGGANSQNfKPTU2xnWO/4DWA+DT8SWiAoEV+Ayae0ca8jhalfJlNBtrfFF6AQ750Ob0sx7T5WKITUOHfkD8wiioZCiWzqcfFcaw3n7lwRH3Qcw+97qR5/BqS+KKyD7z1VFjgeNxJN+7rZPkNIAo5usFgYHdfLVqDg5p/eAZA4fUHwx5ckP1TCuwJU1aT/VkLyUXkY2qRKANbLB1yJO1G73bD0Nrd76UtB/286w9PKIgj6H1I6gwgSxdMKaBet5/1Ohgfof9BainHKf/Ao9aPCv9W6VuU1qmMCNAttW2W5lnYAIA/tOkJBGhfh5M8PngOEE0vyeFNonjGTr35nVJkj4SnjlV3FMNoihoEcBNPVHlBQUgW0e5hSunq6g/vimNRDM8ANgYYEWUFK2uQXt/eyrv/EOQQlh939LOgK7KHDQD48waCbDSwwjRLIbbOIiM12hrJV8cfggtX+ESDQd9NFsCAsb/DyT8iEPp7Wp18Tc7sGgj/mCAcAj8wHx7soTbHbnZDUz9Cr29vo2AwRCYTSrEY+N+4qt1q5B8BvK/EZhqkgIoiKshvwOSTzNwdaA8yEEbFcA4RI8eAQgG7YHkNl9Vr7XXTjU9tGbIA5+RTy2vo/td2s2KpgAx8ZlM9femo8DnxGK176HjcSfHeV7d9lqMA0hbVA6cUWiPVFaINDvDSQuKwS4+eTo/8cx/lWozU4fSx3EX+FWU0SZSyKnla0guRj6lLogxsWnf/aCMh2oXcRKK/kex2Q0fjPZ9QeAMKu/YmY4hmV+Txv/e3OznO32w0UnGuhT22sGC3W4xDSrwOB+5Ki8nA+iGurdqEV8H0klyyW02cx2B3q4PvYeiErIEaDJwcNt7OvJoTJCNEUkTt/KoqLLiO+hxGgxhGU9QgcOihh3Iiv/PPP5/L/8Vi165ddM8999CMGTPo5ptvTmQ/BSHhaJUuZHlFbdZej4MVWcRc+QJhZRGx+Fj0QynEH45h4c01ZwfCAPIsJo7JgqsV3LAQiw8jgdsXJKzvlQtXLDjma+DfITYMDDUKwK2M3Vsh4I0D7mLBEAWMQbYAA4QLoF8WU4h63D6OS5tZmkfNfW4WzDAo4Grom7oExgSF/9yl1UNK2ggCkN+A1EB9LyGztM8T0S6UWSSqgveSyUQ0ozSXOpxeTlKFha9KfDW/smDIAvy6k+fRxw09g5IBQrzAs+mRN/fQzy5cklD30PG4k/7o+U94MR/NifMrdONXLTCUdPZzngRkD4cMXVxdRDlWNx3sckVk/uXHJ05Zlcza6YXIx9Qi+vszXgObMg4297jZ1R+bLNgkgpEQO+Hv7ungjP6vbmvlMMtobyUYEaCj7Wt3cHw+cg9Al7MYUJHAToW5ZtrZ7ODzEIYaVs3CGzxdLnheGVjXgyxSZqfY20ZDwftgEMBiX7UJAwbCFODd1cK5BIw0vyqf3fzRP5y/vamXddl8e9iAgHlVcxftoaUqFGAMmI+f/2P7oKoL3zp13qhzrAxXnUHk4yQYBB544AH63ve+R9dddx19/vOf57J/KLmHTPxdXV20detWevvtt+nTTz/lhH/XXnttgrspCMn1GlDJrx59ez+74CuBiwQrqECgdoIQ9w+BjJ10LLrhToXnM8pzKc9q5mQz2GWbVZHHDexs6WM3sPI8KzX1hmP59VBu/ljkw1VLr2IXfijanV4yGwxcBQEuX4FQkC2xXD+7xRkxXKhcAIU5ZvYMgDBHP3Is+MqHyOEJ8HtgOT52Thn98AuHimAVYiK/AalBMrMuIzzojR1tHCpQmW/jXSOVG6Ug57PEV5AxegvwUxdW0atbWyO1uRXPf9hAV8dJtDUW99CxupNe+8T79NaujiHHIXO14QLK4AC5jXra8JiApQRGX8wJcrYgcSs8yCCrb/3CoiGlD8eKZNZOP0Q+pg6xvj9jTYSsjIMwBGIBDemG/Cpwu4eR8B9bm8nnD7KcVLJIayxV/Wnrc7PepXQ9bPBgF74DSa4tRl40YzMHC/KKfBsbI1nfMxpo6fRC+uBAD/WP0jsAcBUtX5ANp4V2yMxwXP8Xl1SzVyvkOLxMK/Kt7OHV6/ZFwlY9gRB5nD5e2N/1f9s5L5VKkB3toQUPAfC3LY20t93JRlLol/CmRQUDJCkcS46VkZTDFfk4gQYBlNt7//33WaA99dRTXIavrq6OXC4XlZeX07Jly+jyyy+nyy67jEpKPnO5E4R0AUIfAm1qMSyOebwjhN2xmeV51OfyR3aCkHQFsfkfN/RS30DMLNyvIHVzzCZe0EMIIrMqkqtgR60TQh2xVAXWAUOCkWNi4Z7FQteL7LIGqigwkcVs5l8LlyfAj7AMc8Z/s5FLuEBQc3maPCsv8tEGnuN66AdizNAvnHfO0ho6amYp/WbtHhb06HtFgZXrxiJWGIIcngtIriUI8ZDfgMkn2VmX0QaqqqBNKI3aaiouf4B3lsJeTwFyev1DFuBwt0c8vc8d3hVS9PtC9OSGurgVAUbrHjoWd1KUWH11e6vua9gl04YLKINDq8MTSQIL+Yus2dg5gxEgunpLIpDM2umJyMfUIBnfH2UczLeb2c3fZjJSr9/PuaQAdC94kdYUf1Z1ShlLARsTvJCJcNc3sMEUBgDojCYKVwvA4hk76NrdcGxA/WXTQfa8Cm8mDYQXaHIHjAT0EmaEIpuJSvNttGx6caQ0ohofrocqVkpXxCLewDmqwv3jyge+II8D40Gj0R5au9sc9MymBkLAgfJigFcDPA8CwQBXHhhvjhWRjymUVPC4447jP0HINKJdUOEuCyGPHX+43GMnCDtjFx5ZQ4umFtHWph7eLTtmdtmgkoTRlteyfBtdtqI24oqvrqX9N6oUGDwOmja1ggwG45DXtf9GaAMMF1DY4b0Aga0yuf7HmQs5I+yu1j52aUM9bbhvoc9/3HCAwwlybGY62O0eMA7Y+JhkbhVGivwGTB4TkXVZW1u6tc9Nf9vcGNmFL8qxsHEThlJVp1p7Xfz7iNpiWruzfUi7z37QQAunFMbdyRmtW+9oz/+fd/ZFEglqgUfVlZ+bOWQsGB/Ks8LFF2EUqKcN5R+VXs5ZVs2uvvFKco0Fyayd3oh8nFyS8f1RxkF897EwhvclFvPs0Ymd9UJ4U/nYeIiE0lpvJVRJaejqZ9kJOYLEgNiwCecOMFJJnoWsZtMgDyPlVYAd9f1cFYC48guSqdoGvD47HB6KylOtC4y4WDzDE2FWWR7v1KM61bo9HREZrmQyrgv9EaVUPf4AdTlRhjBsDICeCEMG/jq6+ml7U98QDy1sdMGTdmoR8s14yBcIsAEFG2kAoQfjzbEi8jHFqgwIQiYS7YIKoQ8XKrhSQeCoGLDH3t7PLqPYOUMm1bkx4tNgyYRSDaKVxuh/hzNom6i0NJ+Ffrxz0X7lgFCNtvCqc5WBQhvvBg8DuI25/F72YsCPCoS8ZG4VhPRgorIuY6dIuWTCWNnvRaxpgI2bqxZPYbk3r7JAd1f8q5+bRW/v7hhUJQVADv3ilR3D7uSM1q13pOff8fdP6e3dQw0VALlTkAMhGvT1GsNsrkiwpb6bd/H6PT5WsP+yqYHnHguDRCd3lMzagpA63x+tN1K4gpSXjYjYdZ9ebGcZoNz9tV5DqE4F93kk5kPOEngHBDn3VLg0IBsIbGb2ytLKUrULDm8sLMYRroTFOapRefwh6kSVKKORTMFwZYBYQM/jnf0AqkgZ2Murx4VFfjgUFteP3l1HP6A/whDa7vCyf4HFhOoDYS+Gfe39fN4T79bRkmmFBGcwNWYklsVmFQwn00pzaG+rk38H4CUwpdBOVx8/W0qypjhiEBCEGC6o3z5tfmS37OF/7iWvL0AdqOsaCteMhetstEBVbmJapTpRcU7RsVP4IcK148W7oa8wYORZbWS1mOiaE2ZztvDojLBiXRWE1GYisi7ruWTCZVQrN5T8geIYLdOgUF5wRA395YODkTwo4WotRM29HrrjhU8nNF8JxgPFHB4KenlZjp5ZTL+8aOmwsvacpdVsiMXvAIyrerHCiUAyawtC6n1/tJs+2Bxav6ed1u5o40WyzWzQdffHTjyEX67VyHmosDgOh5ha2csISVyRtyW6b9A3IVvhFYAwJchiGAeQEJBLE6IqFEJFc63U5sSiXR8YLVQia8jwA+39vMOPjSCUlQ5SiA52uvh62j6osf554wEeI7wfUCIR/Ycsz7EY2RiCsFl4NsATVW1IwWsKc495QcWEpZrwhESFtYl8TB5iEBCEYVxQ8Rz1uLGw5qoBhnAlAMTLOgbiorQGAFiC8ahKFQ6nOO5td9DBph6aFrTS3MrCESvq9726kwUiBLUSjEg2qOLd8MOF1+DZ0NLnYU+B6uIcunD5dDpj8VTJ0ioIaUa0YopYT23m5/Gi55K5u91Bu1v76I3tbXy94WTaXRcuYfnz2Dv7I/WvlcPAW7va6YpHN9CXj67V3ZVPJFjU//qN3VTfhbKA4fKvXL9loBQsdvXuvGDJiGQtdvpOPqSCw8aQUyGZ7qps5B0Iwk10SIIgZDrJKtmp9UaC4XPlnFYOz9R6S6nXX9/ewrpXgc3MeaAsxiA5vAE6/4ga+uLSmpj9UqECCMtCUld4cnb3+3mBbTUbaEq+jXNAIU6f8xDEAUYH5IdCqgObxcRGBezWw0DR5fJy8mvIQhg5sbmkNe6ib7ecuYguOiqczf/5LQ309KYGyreGq1ghuSpCH6ATq4Tcau5V2GosL7LxIiVZU8Ag0NjYyFlTBSGT0XNBheINwQcXK6XcIha1u9/HsWF4XatA7u90UpvDG0kyk2sxUX3XUEssFM+nN9bTGztaqMrmp55gI51x6BTd0n/Kajy95LM2dzq8ZDEbOceBUtBRAgfGAfRNxcuiz+g7xoC+xhqnIMRDfgNSA3xvk+GBpOeSubO1j/MGwEUeWbVnlo8sdvPLK2bQ3zY3sKss5KXybMW/W3o8dO+anfSPT5vpkqNr6dKjZ1Ai+eN7dbRudzsbHxDqgPh/0hgCwmVbjXT5Sv2dpWijCBRpxPJiDiBDsVOnSi8m2l1VzwtM5HR6IPJxctArQZds/Sb6e6q8pVRfsPnCZf18AdbV4HKPeP5Vi6cOWkBHjwNtwugKOYsFO4wBBTYTuYzhMVUU2Cnf3k/72/t5Myoe4WSABppVmcdeCd0uL3sEIO8U3g+9cGZZLuuQsYy7ah6hN8IoinFoq1hhnOv2tEfmPta8JBq9z1dKEU6gQQB1Vh988EH68pe/nIDLCkL6AAGNnAFwwfeEghQacJ0yGQysiON1CEC4eHUjZt8e/lohyQxitlCxAIrwIxpLrDZpjNkQoppqKyeKeeD13WxhRdZrpeRHW42R8BCCGeBauCa8FZBcEH3B+5At1jig/EKpRS4ExL/hdUEYC/IbkBokM9Oy1iUTngEwBqCKybTiHPqooYeVVBhBESeqFsOxFPKvHTeL7n9tN/kR64od+nCVrbDXEhF9eLCXPjr4Cf31g4P0569/LiFzc9FD79DG/d0RAwSuqYy4qtwXFPPVKwd7KGjHoDWKQK5izGhjdnkeHex28ZxgbpSMTpTyKRm00xuRjxPPRJegU7mhoI9Fe0shCas2pGpuRR7taHGyIRV5A5BsOt6OufJERXw/kj7PKMulxm43hw34PQHa1eqIeIVhIY/Epg+/uZdLAkZTnGOma06cTc9tbuQFv9YjANIX3gbwFoXnAIBMi+fphH6j/wiDwHhgaFhQlUd/fK8+Mt5Vh1bx+LXyC/MEoZtsTycpRTjBBoGf/OQn9G//9m/017/+lf7rv/6LSks/q9krCJkMFEQk0kJcPhTEnn4fC0SVGRY/EhBE9Wx9DbEFFtlkIXz3dfSzEgyLLxblEFpY8EcnjWnt81JPPxLNECvg2IXSnqu1GqNNZHLFNXa1OFgAI4ShNM/CfYUFWmWLhWtXUW5YgUfcmCRfEcaK/AakBsnOtKxcMuH2+vi6Ok6cqiqvQPZglwnyBQogPJxe39HKrqjRiphacENpbOxx8U49El35NImw8M/39nfTv/95C1178twx9x8y+Ddv7Oa2AMyewYH2saMFI25oQLaiooDWGKBVJnHuKQsqI8otxor3QQHPt1tofqWZy2vBu+CUQ6qkwoAQQeTjxDLRBjQlJ7DrHS5JncuJ+vBdxXcUJffybCbui/KswnPofycvqORQqnigglS7w0NNPW7W2wAeELOv1f1gKEAiQsjZynw73f7Cpyw3FIV2M/3grEWR17XVCiDHOvu95HAHaHeLgw2lkHkwWOD6sbwXAPoPY+4b21s5/8DuNifLU+UthfH3+/ysY2JelGfVPa/s5N+LZC3S490Hs8pyE369TGbEBoHrrruO/uVf/oWuuuoqWrRoET3yyCP0hS98Ibm9E4QUQLtrBjetwhzLoNrT//ikiXf3VdIqs4koz2qii4+aTk+sr+OMqwU2Cy/yoeAhvgoCHGX/OJNrKBzb5fWHOPEflwc0mwadq5RE7M5BSUXbf0B/POH4Mqi+6AP6AmVXZYtVfZbkK8J4kd+A1GAiMi0rOfHCh03cvnJ7hSHyhlPmcoJBuJAqRRPGAihk0Qo5ZBHylTzy5h7665ZG8qksV1E8u7mB3trVxnILSajK821sBK3rcLKMQ+yqs6+b2r2tdMyccppemhspjVjX3k9rd7RymJYeXAvbZKAiu4V+/qUluhm90XeL0cDeXI+t2x/egRtIJPjr13fz2B1uH7vKIjdMoo0BQDJopzciHyeWiTSgaeUEwjbhqbm3zUkWYz/5Wf0KkdcepBmlxZFs/gjZDFG49N5LHzfRnIq8mHlT0D4MkNAtUbJPC/S32RX5Ed0PCV6RB0prvP3HJ43U3dVJF5SU0emLp0bGzwtwA/GiHP12B4LU1xE2Hqi8LjA+FNotfH3I6lhz95s3dvE4oG5C5kPvxDgxXsx9Q3c397UTFRVg+IXcNRr4upCbyTLWxLsPxCCQxKSCs2bNotdff51+/etf0/nnn08LFy4ks3lwEx988MEouyAIqU+sRCYQ5LCMGoxGKrQaw7v+ZGAvASz4YRll91rLZ/VpEXcFyy/i/KuL7VTf4WQ3LpSSgdCHMaChJ7wzhXO1SiLaQptoG9ewGo1kNobY+8DlD3JflFCX5CtCopHfgMlnojItq+sgeSnylQAk4lPVBrQeTg09blo0BTtFQ11P8e+fXbiEasty6dG391G70zfkWnDlb+nz0lPvH6SnNx3kXSu0DSNp+PUQzS4M0d5eAz381j42msJjS1t2C0qoMjdozQ7Y2Z9SaOOyV9Euu0qZLM+z0taOfh4LXBkwNowRngIwKCCRF9x3UYoW1WeSIUslg3b6I/Jx4phIA1r0ohMeo4jDhwsSPC9zrEbqc/tZb4MXKeL3sdA2GYyUazGS0xsYpJvFar8YiQC5ckCI/IGwhxPKRR/s6ucQJeh+qty0Au2dfugUOthkomlTK4a0j/PxPg53cnhZTwyHvBJXTPEGQ1ScZ+XrxzKmKD0XRoT8gfF5Q0F+RKJV9Bm6KfqPigqQzfAmmFaSw/IX4arJMtaIIXUSqwzU1dXRs88+SyUlJXTOOecMEXaCkKnoJTKBgPMFwwljoIRCUYXwRyZWFtwhisTjIpHVgqp8dqFFXW7sfCE3AX5cjppmo8/lFdHGum76tKmXX4cxAOfWFNlpR4uDul2fxa2ibVzDHwqxNwKssegD+qIVupI8UEg08huQ+dUGFLgGlCvEocIICaUPiiHkDLwF4OGEXbNAIJwzBfIsliKmvAWu+/37HFurgGKqLacNQ6hKiKoYSLrPQCmFjOWcBANhAeq4tqIBXltcU8DZsmMZRJUyib4HAjDKwsMrPFa47mKsUHKnFtuprc/DhtfoUq+JQOUwQNtixE1vRD5ODBNpQItedAKTkWhKkY1yLeZwrpFAP++aY3Fs4P9QktDIsgxyA95RsRbEaN/jC9DBLi+3oWQaCgnA87Sl18OLaoQKRL8foQxPvLufioweTky9+piZQyoGwLCJ/FTQFyEjuRQsymf7wqZTGDdg7I0lu1nP5cSI4fFgXFj0Y5QYL3RbGEZQCtFrC3usIpE2gGdsMhfp8e6DoMooK4yIUUkquEB95zvfodNOO40+/fRTqqioGM3bBSHjgIDDIh1CD+5TDm+QFdwLl9dEFuNwa1XxVWt3tnHc1eLqImro7g9bg0NGqut0UU97kI6aWcrlvZAUpqY4HIu2q6WP8wDghweCXQl7XANCHuVsYAyAdwH6IpZRIVnIb0B2VBvQKoLY6UElE+yMwdOpu9/BxkgYB+DhFElWFSI6dnbZsH3+x40n0a9e20m/e3sf9XsCZDIZyDOgmKrEgwMhtIMW/Oq5lnAFlfC/8WAzGQZKa5npquNn0TdPnT/sGNHnlz9t5kos0B9nlOXw2KDkQgkuz8uNjD0Zu1ySECtzEPk4sUyUF2T0orPf42cPTXgNceJmlBY0Gbg06akLq+i1bS30+3fr2GsAi+jiPAuHGsXTzdAeZJ9WpkHu1BTa2MipDRWIDmWAwKzKt1F3z9CwLYDKVQjDQsJC5D+Al5cnEE6OjXAqTkCthG4sPRe5rULh6lp97gAbTr9yTG1kvI+vr+PXAHJXQ5Zh7BPh7STesBNsEFi1ahW999577Ap1+eWXJ+jygpDeaH8oILyhRGKhrmLFVGwYkssU5Jg5vqrX5Wc3KyzeYQhArVklzGEMgBI6ozSfz8G5+HGAkIPRQRvnpa6hduwSnfVaELTIb0D2JdXSc8eEYgjDJHIIQOGFpwByCGBHfc22Flq3t2PYRS0W6tVFOXT/a7uouTesVCtFUuscEK2ixnuOf+O9U4py6Funzht2Ua1diGPHa+XsUs4h0OeC55aZ5TjkbTJdUaWyQOYg8nFi2Nvu4CTMauE3UV6QatHJVQb+uZflDTykuIJJKMRVpjbu7+KSqwunFLI+hspP3mDYRT+eboaFLLy85lXm88ZSQ5eLZRnaxgIeC/noUAH1PsivGSU5ZDD6OPSprss1xGipFvRtA5Wv4CkAinLNNLUohwpZxseuNKANH0M4FSjJtfA40fbbu9oHnQ+vBngM3HLmQh7XRCzStfeB8riqLLBSsRTWSrxBIBAI0EcffUTTpk0beeuCkAXEs05qY8+QfAU7+RCocLfqcYetqZwPwBhiYd7lcvLuGxRDlDXEuXiPNtGgVmgrN1yxjArJRn4Dsi+pVix3TO1iHLrlnjYnu9ZXDyycoxe1eqUJtQr2xn2d9ObONurq91EwEOTdNm0OAS04rnIIQGFG4qryfCudOL+cjppVplviKvr6egtxjAG5C9TYKgvsSXdJlsoCmYPIx+Tz5o5WenxzBzk8gUnxpsF3UnlNwaDJJQWNCNUMcegnkupBnkFmQK9D3pSRhBqpkIHGblfEsAlU6Wh4DwxnsC0zG2IaLbVhAxxahWsQUU+/n7w+JxsLyvJjhwxow8emacLH2DvBQGwYhhzOs5opEAzyfMBrAsaAeJULkoHW0JtvM9Hly8rovJVS8SOhBoE1a9aM9FRByDpiWamjd9jg1o8wAVh9EXdWOSBYQzlhYQ6rsip5hXPwg6ASDcYT9qI8CslGfgNSi4lKphRt8AQ3PrWFd9VLSnJ4Vx2yCnH2eovaeC7xSnbBFVbV+AaxqwxYh1QZwMI9Xp1rvetXl+QMWohDFu9scXDSQMjkfq+f33PvxUuT6ooqCbEyB5GPyfcM+MdW1Lk3Tao3jfrOdrt8vPPvDYTYgMnJo23hJZVWtow01AiLfiz+4QmKdtEmqgvAWwmeBnrvVwZb5BBocXjIYLDR6hhGSxU2gJxTiO83BIKcDwB/0EkvW1Ebt3964WMYF0AfUc7QH0QyxfAY8Psw0XIs2tDb4XTzPbNk3jSaW1k4oX1JRyTbiSAkkegdNlhhIXghnCEsEQMcLcyhLKtdf9SGhXFAsk4LgjBZSbW0Rsd1e9pZ4cXOGDLz+/xBToSFMlyHVRcNWtSiHOBv1u7hUIDhlHg9w6baXUJyqM7OfK7tjmos6vzRKIjwwELywIff2kvfP3PhoIU4dvGQe6DL6aPOfh97Z9ktPpbB6MNExSaLjBcEfZBYD15ByOlhmERvGlxr4ZQCem5LA3swYRFvNZvZRV4lfB6NkQ8y6vXtLbzTfvi0It5t39fm4F12B0JGA8G474e+uLS2iA42tXGVgVgLXxU20On0RCrE2C1GmlGWS05PgEusQrYPl4A1elwYLyq4IPwLYWMwGkBCw6gK/XYiPxs9jyu3u4/vnbmDC8wIOohBQBAmMaQA/9YT5ko5hjIqIQGCIIx09z6eUpcI0DZc6+EZgDJ9SEqFmFG4y6KaisplAmUQxoD6rn6ym0187pRC+4Qq8UpBVMYLVBJA8sD1e9oHLcQB9ucCFKJcs4nrZvs9Qa7gkCyksoAgjJyqQhsvupvhHp9nnzRvGnxv39mNmHm4xBvY2GgzGemmz8/nsqZ4HflI1u5oY9kCWXlKVLnTaO+lLqeX2h0e3lkvsJl51x5hA/XdLq40cP4R0+LKhdnl+VRs9FJpaf6whoy/bOohFYllNoTYAAH3/of/uZeNovFCMbTjQojASQvCSTNxLkob3vinzezRZTIZOZwCOQcm0oMj2mjR4fTQFLuJ7x1heMQgIAgTQDy3/uGEuYQECIIQCyUfJipbPa4FBfexdfuxdc/ZpudU5nPFgMtXzqBTDqmKhBXAWMClt4Kope3i+FL0DQttPcOFXq6BWMQ6V3s82ngB5wJUEoBSe9FRtZGFOGJ37355B+9quf1BVnZRqQBhC8lAKgsIwuiAnnTGoirOITCZ3jQIVWpzeDnXE6qaIFs/8kG9u7edtjb2sEcnvteQO9NLcmImW9V6L81FibxQiI0Crb0edruHIQC73JBXG/Z1jrusLN6PduBdYQqG+BowOsA7CgkCkQNG7fxHe3Fp5ZUaV2OPm17d1krr93ZymGsvSml7A2SzmCPzgnnCfE3UZxTtcYUcArhncO8IwyMGAUEQBEFIYyY6W/2XjppOb+xoZddTlWDKlmdiYwCuh8V+V7+XS6xiUY5Ft9sfYE8C7FLds2bnkMXwaBbJsc7VO641XmAnrDLfxh4A2nAAzB+SgsElGfkEMB7sRiZj91EqCwjC2DhxQSXHg2urDEweISKDkXx+P4dM/fn9gyw3IPPmVxZwWWkswJHvRO97Hu3ejvfAUOrhvwCZjUauNIWFO4ypf954gG45c9GYe4v3w1sLRQJg5kS4gCrRCmMpjAF6OWCi5VVDjys8rpIcfo7S2EhWCLmJeTBSgGxmCwK9aLK95sJVBryT0o90JG0KMnR2dtJll11GhYWFVFxcTFdddRU5HI6473G73XT99ddTWVkZ5efn0wUXXEAtLS2Dzjlw4ACdddZZlJubS5WVlfTd736X/H5/5PW1a9cO1Acd/Nfc3Jy0sQqCIAjCSFHKpVapw3McTwZQFBE3WmC3cMIr/CZqd+tQl7qlx0NbG3u5D1icTy/JpatPmEXbmvsiyiUeoWwi1wAe3V4/u8ziEc+hjKqEYp809PBjdF6APreP8wKoNqLbPmZOGc0sy+U+4FhTr5v7hj5qx4P+wwiA0AcVD5yMBcdEf1aCkElgtzeZeT2GAzHzSDyKWHmHx8dJBeEJBcModtxVWWkstHEOFsp633OteztCBVRJV5QvhEd/vzdsDABYuP9l00H67drd9Mym+ohcHA6ch/N/s3YX/eWDBjYGADy4fEGW2yV5Fsq3D+6HNhQjWl7xwn/AkKAtjY3xYx4wH5gXnIN50iuXmGxUuK14BmSohwCMAU1NTZzJ1efz0ZVXXknXXHMNPfnkkzHfc+ONN9KLL75ITz/9NBUVFdENN9xA559/Pr3zzjuRMjEwBkyZMoXWrVvH7aN+rMVioZ/+9KeD2tqxYwcbIxQwHgiCIAjCZDMZ2epj5Ub5zRu76MkNBzg8APqs2xekQNBHV6ycQTPK8nTL7O1q7aOmblf43JB7UFI/lXi1yOihnmAjHTO7TDcvABRfvbbh9n/O0mrexUJsLlxzkS8AfUR9b5RujTeeRCOVBQQhfYFc+Nap8+iRt/ZSu8NLvSEfzSnPo+JcKzWYXJGy0gg/QugRvAaCOSH2GECJVpWXRC+h6DXHz+bXfvLSNuryh8tSo+IAEgC2O330y1d2sss+qqF8+7T5ccOM4C2FGH647SP7P4wBJgOxkUEVc821muj6k+byv2MlNkV/0W94BtQU5fB4MC6Mj18fKI2N3DHIAbun3Un5NguXgoXRWLye0oe0MAhs27aNXn75Zdq4cSMdeeSRfOyBBx6gM888k37xi19QdXX1kPf09PTQ7373OzYYnHLKKXzsscceo4ULF9K7775LxxxzDL3yyiu0detWevXVV6mqqoqWLl1Kd9xxB33ve9+jH/3oR2S1WgcZAOCZIAiCIAipRKxs9clOMhid3yS8I9XAO0Yol+rxBQlmAfxbVVbRLoahZELZhJKJZFRQVHMtnyX1Q9nBP75XTzipKt9G3T0hjv/Hjhni/rV5ATYf6OaQAKW4ahfauDb60OPykZGMZLMYOd4VfUXSVjWGZOdrUfkNVGlZqSwgCCP73jT3uCif3FSaAiXlYTi82jCby54+t7mRLGYjl4bGdxmVSprhrl5opy8uqWaPqE8ae1i+waMK4VLtfR5ezMcyQrY63HTPK7t48Y/yg6gCAGDItJhM1Obw0H2v7eREfkhkCM+pg009NC1oJYPByHH7v35jN5eDRa4DVGlBCzAGIK4ei3js4MNjSxkV9PqhQrDghYX+d/f7OLRKjQvjhPzGuDF+p9lIs8rz6LxlNewxMBneAdE0dLtoR3cHTSnKERmbCQaB9evX82JcGQPAaaedxuWHNmzYQOedd96Q92zatIk9CXCe4pBDDqHa2lpuDwYBPB522GFsDFCcccYZdO2119Knn35Ky5YtixyHscDj8dDixYvZWPC5z30uZn9xHv4Uvb29/IgvJf6yFYwdLpvZPAd6yLzERuYmPAeZhsjIxN/r5x9RwxVLUGIJWZW31HXTTU9tjsTTr14xg85fPo2SCZR2fzBAdhPcXINkt2AnKci1rxHPOassly5fUUv//fZe+rC+i11OUcP6b5sbeJcJ4/f6A2Q1EuVYzeRw+6jf46MZJTlkMPqoIs9KdV0uOrymkNbAmBAMcFLDwhwzdTo8ZDcbqdMRpA6Hm4pzrHTBETV8zVAo3Ieefi/ZrUbeMUMf0Vf0Geckm2c3HaQnNnyW32DVoipawkYSG7u2juVzF/kYJtPGL/Jx6PcGcmB2IdHnO4N0/iQm4Iz+Hi+bXkTbm/toa1MPy6sCm4llzapFlfT1k+bSmzvb6D//vpVK8ywRQyU8niCr8b2H7FHyR322py+qoj++W0edTi95fQH2EsAfLKZ+v4/8AaKWHjfd8cKn9H8fN9KO5l72oNrXu5fzGsBgCqODwUBkMMAlIFwKEHh8ATYyVBba+DrqmtH9gJEB/cR7D6suZA8HODfceNo8OnF+BT20djeHIfj8AXK4vDx+GAswHy9/0jShvzsxP6v362nNh3toby9Rrs0yqX2ZTEYqM9LCIIB4/WgXfbPZzDWJY8Xy4zh2+KN39bH4V+/Bo9YYoF5Xr4GpU6fSQw89xMYICOj//u//ppNOOokNEUcccYTute+88066/fbbhxzv6uoalJ8gG2/Kvr5w/KiqJS3IvMRD5oZ4/JmGyMjk3OvFRqLiYgM1dPfQK1v2UJU1REWFFs6CjefzSgxUU5xDyQI7eIeUGKnXbuRdLdTSNtmJzltSwsmdkAvI4HVQhcVHZPWRwU40tdBIwVCA7MEAu90inhVKq9Vsoln5IV4E+DwOMplCFPR4aHahib54SCH19XRFYnSRdKukEPHFds4RAMW80EK0ZU8D/dXm52Rkly4pob9u7qdAKBxukGczUWGOkfuMfiV7lyr680DfPlebQ8VGw5ivL/IxM2WkyEe9742ZTAE3L/DmlRqTKsdG8z3GZ/LlJRX094+ayWSwUkW+jXfw1287QPOLDWywrMkNsIcTjJq5hiC19Xrow10HqdhYGVOOf/v4avrr5gZq63OzxxUMAsrVH9jMBiqx++mTvQ0cqz89z8CG0CAZaFp5Dh0whjicirF/9l6jIURVBXY6d1l1RCbr8eGuVrIH+qmi0Ea5Fh+VlZupxeEhg8dBr2/p5fFNzyU6ojKXx4tLnX14Cb22vW3Cf3difVa4V0rMflpaYZ/UvqSLfJxUg8DNN99Md91117DhApPJggUL+E9x7LHH0p49e+jee++lJ554Qvc9t9xyC910002DrLvTp0+nkpKSQXkIsg0oL5zEpKQkq5WXaGReYiNzEzZ+ZhoiI5N7r8NFErsitSV51BU0UNBsZfd0B9nZkJ4s0PTpXSHeQesJhd1Vv3hEDX1tIE4Vu04oG9bnNlFLv5Fd/htdfq480OYNkttoJoOHyGw08y7UzGlVVLLXSS992EDT8oJ00GmkM5fU8PH5TV7efevr9VOn08CJA9t9VtrV5SZPwEiHFORSszvE10Nm8q+dejh5Tbm8q9WPigNGK124dAYdNruGkk2yPg+Rj5kpI0U+Dv3edAeJik1Eezv9SZdjo/0eHxWyU5PbxPlLPu10U0MXypcGqPH1g+yl1BMMhzt5AwE60BHOJdD9XiuFrPkxd6zPW1lKIVs+3btmJ9msRmrodLGBVVFeYCGPx0wHur0UtJooFPLT/j4DL8x9ZgN1ey3U4QznIQAwgtaU5JDLH6RzjplP5x0xLa4XxCPvtdKBjgAZ2vuptiyXrCYjGQw22toRYBl6sAseWSaq8VpoSmEBHezqp96QfVJ+d+J9VjAGdAdtFDCHc8pM1r2TDvJxUqXod77zHfrqV78a95zZs2dz0r/W1tZBx2ElhWULr+mB416vl7q7uwd5CaDKgHoPHt97771B71NVCGK1C44++mh6++23Y75us9n4Lxr8YGfzjzaA8iLzMBSZl9hk+9xk4rhFRib3Xke8JFwk25zegcR1Xn6O48me3wuPqqVlM0t1k/OhXJjDE6DyAju1OXyc4C8I91eHl6YU59JNn59P7+7poNd3tNKr29to7c52dj2tLsmlGQVEQSvRO7s7aEt9D3sHIMb2uHkVtLm+m8xmlOkKkjuAOFsj2S3huFYogbju3EojXXfKfDrjsOqkJw6cyM8j2+UjyLSxi3wc+r1BuFCP1z9hcmw03+N5VYX8eLDbRU09Hl64W8wmMpmM9PLWVlp16BT625ZG2t/h4jwnM8pyWfb95s29VF5o5zwAeiybUUplBXauumI2mSgQCvCCH0Nv6/NRpxPZ/In2tPYTFYWo34cKAgaq63BxAlUkV0VCQgoZyGQykNlsovwcK7cba/5QrQX9MhuJk8DWdfbTvnYXG1zPWTqVc59gXBifJxii+i53uOqAZh4m43cn1mcFzwAYA9Cnybx3JpORjndSZ6WiooLj+uP9we1/5cqVvLBHXgDF66+/ztbxFStW6La9fPlyrhbw2muvDaoUgDKDaA/g8eOPPx5kbEAVA1hgFy2KXe9zy5YtHEogCIIgCKmaZBCLRSyIVVlAlWRwpGWrxnN9vdJgKqkgkghWF9tZkUSFACzg0T/U7F63t4NsZiPvtiH5FbJkI4N1YY6FH/Ecx/E6zkNyq3OXVvMYkUQLCjASCMIYoJfBP1bfkgHmGfMN9D4PSXIlCCOXYwiKRxz4ZH1vYslVLOjxiMU5PAOQhR+yDDkDYNBEUtOrT5jNVU0Oryni98FwUN/VTz9+YSsn74t3PbTrRd4TqylclnCgUoAZBqKBsoQDWQYGgWotKPeKMqowUvgDobhyB/1Af9Av9A/9RH/Rb/Qf48B4MC6MD+PEeNE/7TykgpzDNXGvUAr0JV1ICz8rVAZYtWoVXX311RzPj2SBKCF4ySWXRCoMNDQ00KmnnkqPP/447+CjzOBVV13FbldwD8Ei/xvf+AYbAZBQEJx++um88F+9ejXdfffdnDfgBz/4AV1//fUR6+x9991Hs2bNokMPPZTcbjfnEIAxAhUKBEEQBCEVic5gjfJ9Nz61JZLsCcpRvLJVya6GAOV0RmkunbSggi46qpZfw+JZWzoQmaobu93U6vDQ9FwLtTq83A6Oa0sLQlFFtQCMdcuBrpTI4K8ydGvn+96Ll064d4IgZIIcU1UGJiLEJx7oi1p7I4u++h6jn8j6jwW12WSgKQX2QQZJlO/Dwhzff7jy+4JBNmjiXMgJtBtdsQXn4vitX1gUaRdVWFAtxWo0UHVxDjV3I9N/gBOr2vsCXE0A1+vo85IvFKKCHAsv3LFoRztsdNWpPIProR+4BvqF/iE3S1mehftdnm8bVCUG44MhAnIc7SovB/V5odKBmqPJAuEYyBmAMAGpMpAhBgHwhz/8gY0AWPTD/eGCCy6gX/3qV5HXYSSAB0B/f3/kGOL81blICIgKAr/5zW8ir5tMJvr73//OVQVgKMjLy6MrrriCfvzjH0fOQdgBQhtgcMjNzaXDDz+cyxSefPLJEzh6QRAEQRgdqoyeUvaQfA6LbSh0ekroRBCr1BaILksITwIkzIIHARJaWUxmfo7jeRbzIIVbjRW7/8o4MFkL73jzjf4JgjBy8B1GBvxkJ/8crZEP2/Ra+YJFMbL7R5d/hTH24bf2ctUApwehUqiiYuLFORbWOBfyCmiNmlpj4nUnzeF24QWFBX5pnpXDKJq6Xbz7XWS3kMGAigQGzvaPxTquhz94VqEN9A1lDyOVTg6tipSDxXWVMRahWPWd/eT0+snl87N3Ft6HNoaUtz0+7BmgBeONNoZOtPFZgQSC2BTOtjCBsWAI4RdLSCpICAOPhZ6enqxKCBMNQjwg0OXLORiZl9jI3GSH/MiGMU7mvY4doR8+90lk5z0YDLFCd8e5i1Nugaq3s44SXQeb2mja1AracqAnZZTNyZ5vkY/ZIT8yfXzpcK/DyAcPKyyZwvHxYZd6eP1EGx3V7r4KVbridxt4IY/FOnbeYRCYVpJDs8vyIu1gcQ4jQFe/lxfuWPDPrywYdB09gwEqsqDEa21ekOocBrKYzWQ1G4cs+IG2/ztb+9hYAK8GGAzU9dXrHzX08OsmlIC1mNkDoSzfNqgfegbX0cxTpt8z6SY/0sZDQBAEQRCE0RO9864XW58q6HkQQLFDiazS0nyaW1kY08MgVUin+RaEVEW7sIaHwGSi3UHXhivheLQMUt5K4JlN9Zz3BF5ONpOBjAEDubz+iJFQLdzVYhyGgJZeD/W6sDsf4BCB+i4Xu+BfuHz6EC8oGAf+tqWBiDxUlGulc5bWRIwA2n6hHzA0TEelAV+A20eCQlwPfcH1VT92tzuoz+3nfCyFdgsnKMT5SIiIa8bLwTKaeZqseykVfzNSATEICIIgCEIGo43d17qyAr140slGq1CP5fVUUDj15jvV+iwIqcoQT6EVtXTSrNw0NvKFiAzYpQ6S2WSkS1dMp6XTP3PXRyk/LKJd/gBZTQZOnNrQ1c+Z+uFR8Mg/93ITyhtKyRIs4DkJa1EuuXrCC3sYCwYZA96vp0fe2steCvBAKM+3cvu4To7FFKnGonKxvL69hX739j5yuP3higkmAzm9ATZqDDfeVDSGoozi4xsOpLRXWSogBgFBEARByHBSMclgpqAX5hAvV4IgCKPLwfHEhjqaVzKTJquE/FiNfEiqh7wnbQ4PBbx+rg6A52cc+tmiHfH6SDoIN/6akhyuktLu8FBzn4fj+WeW55LVZByU9wVzhIV7l9NL8yryyGD0UXmelXa1Ofm46rOaS4QRoJ26jn5q7vXwbj9XfPEFqKnHzRUJ0AfVpxc+bCKTwcMJDB3eIJkMRBcurxl2vKlmDG3odvG9g+D4yc6fk+qIQUAQBEEQsoBUTDKY7gw3lzKfgjA69NzO67ucvPidTMZi5MM53zp1Hu/Qww2/wG6mq4+f/VlIwfv1dP9ru6ix28WeAAgXmFpkp3OX1tBbu9ppWmkOFdgskRADXFsl7eN8Aw4PhUJBKqsO5wVABYPH19fxgh4L8eqSnEFzCWPDwU4XTSux08cNvRxGgOvm20ycOBDPMU61qMd7LEYjGwOuO3le0uYpWeCewfinl+SlVAhDKiIGAUEQBEHIIlI1zjMdkbkUhMQSy+28JM862V2LfKdVVYCRfMdjLZBhTIShAN4DqDoQDBL5g0H2CviXw6bStua+IRVV6jqc9Mg/93F5wLnlyK8Soi6nh+o6A9TlDFBpno2PN/S46Ddr99DVJ8waUrkFRolul5+qCmzU0uehQCjEngtuXyBizBzPoj6V4vVxz6RaCEOqIgYBQRAEQcgi4sV5ppIyl6po5ygVY2YFIZ3RcztfvaKWS8ilanjQcOh5C0GGwGvAQEQ2s4ng1+7yEbvuw8VfzQGS/GGXfkFVPhsD6rv6OW8ADAeoRLCnneiIGfnU7HXQnPICau5zs8eBxx/k8/G+HS0O6nY5uKLASQsq6NVtrVSca6VWh5fyLSZy+4NslEDeAGXMHIuH01jnJ1ngnlm9YgbnEEiFEIZURgwCgiAIgpBFxIrzTKX60amKnsKbSjGzgpAJRO9Qo8oASshNJokOtcK4sFvf2e8ljz+ASvCEvfp8e9igiGz+rX1uemZTA/X7/LR2ZxufbzebuHwhcg8EgiGuRIDygbkWF3sGwBjgD4b4PIfHx+8ryrVQriVc0QCJA9fv7aR+r59zB/T7AmQ2ovpBYFzGzFQNRTt/+TRaNrNUDN3DIAYBQRAEQchyhRuo+tGppMylErEUXtTYTpWYWUHIFLQ71Cg9mmnhQXgP8gkgh0Brn4crEVTkW+magRwDkDeoGpBnM1FBjpk6nT5yeYNUUWCltj4vuf0IE/CS3Wygf+5sJ6eHyO0PsWcAjAHqPJQXhFxS5QVhEFBGTLvFR35PkHKtZrJbTOMyZqZy+JTkcxkeMQgIgiAIQhaiVZJQfjBVlblUIZ7CG682tyAI6U8ywoOUYXbzga5IVQJtngIlb7TlCAvtFt7Rx84+QgkK7CaqyjdQdyBEfe4A2SxG9hrAIr+h2z2kvCDa1RqEVYjCeI2ZEj6V3ohBQBAEQRCynOGUuWzNLSD5AgRBSGZJvVi719HyBhUCOp1e6nB6OVneKYdU0ZptLfyaKjvo9Lro7EOrad3eDj7PaCB+H4wB0fIq0bvmqVZyUBgdYhAQBEEQhCwnnjKXaomiJgrJFyAIqWGMQw6BVEBvZx39TIYMiJbJZfk2umxFLS2tLYks6rHwx0K/zGyILPi/dNR0/kMftxzo4jCBiZBXmAeUObzp8/MT4nGQaLLVqD1SxCAgCIIgCIJuqal4iaJApihY0cqi5AsQhBQyxq2opZNmpYZRAN/5iUrAOlz5P1z3iXf3U4vDQwaDjVZrFvx4RCgTcgYkW17pGU9x7VQhW43ao0EMAoIgCIIg6LqRxoqb//PGA5ypOhMULD1lETtdki9AECYePWPcExvqaF7JTCotnezeTXw2/Xiu/ZC5S2uL6GBTG02bWkFzKwtH9f5EkKrVBRR721O7f6mCcbI7IAiCIAhCaqKNY0WWajyi/vXaHW0RBQuPULCgGKYb0cqsGgvcgaPHLfkCBCH5KCMkjHDKGIfnyKifyv3D8clgdnk+La4p4sfJINXmI5qWXk9K9y9VEIOAIAiCIAhx41gNBgPvkOPxlAWVXOc6noKFhTYqF6SakSC6X7GUWcTARo9b8gUIwuQYIfEcifRSuX/ZaixM9fmoKrSldP9SBQkZEARBEARhxHGs2mRWetn248VrTlRiJ73r6PUL44pVOQChAZIvQBAmP8Hp6hW1VFOcQ6mAZNNPr/mA50Qq9y9VEIOAIAiCIAhxiY5DjaVgxYsnnahEXLEW/rH6FU9ZTHb8rSAIwxshUWWgs7OTUtpIuqc96wyHyvCKuUhl4+lwyRkFMQgIgiAIgpAgBStWEsLNB7riJnaK5zmApFAHm3poWtA6KGmW3ntiGSTIQDGTBIqyKAiph9YYFwwGKVX7l60Z7NNt3GLcjY8YBARBEARBSIiCpY0n1brgg1gL8nieA1A6UVaryOihnmAjrT5mJr8WSxmNZZAAsUIDYo1FEAQhnTPsJ4tsHXcmI0kFBUEQBEFIWhJCdtmvLdFN7IRs/npZ/qFwapXOqnxb5LW1O1pjvidWgitcX5IECkL6kKqJSdMpw36ySLdxp8O9NNmIh4AgCIIgCAkjlgu+Xqw+svnH8hwAeG1GSQ4ZjD4qz7NSXZeLdrX2xXwPEgHGygmAPwkNEITUZ4gH0IpaOmlWLqUasTyiMj2DfTqN+9lNB+nxDQfSJrRhshCDgCAIgiAICUXPBV/PUIAdm3iKpXqtzGyIvDavsiDue+LlBJDQAEFIP3f0JzbU0bySmVRaSmmRYT9Tkwxq87akQ+b+hm4X3zuhEElowzCIQUAQBEEQhAkhekE+XMkq/Bs5BFocHjIYbLT6mBl00oJKau/zxFVGZeEvCOmJXh6Q+i4ndTm9lIpEGyCRE+XGp7Zk3I60Xt6Wey9emtIeV7hn0N/pJXlDvMlSsb+TiRgEBEEQBEGYNOLt6OO1pbVFdLCpjaZNrYhUGZDKAIKQXe7oJXlWSlWUATJTk+3FGxfCtFIV3DPpEtow2aRNUkHUH73sssuosLCQiouL6aqrriKHI35yCLfbTddffz2VlZVRfn4+XXDBBdTS0jLonG9+85u0fPlystlstHTpUt12PvroIzr++OPJbrfT9OnT6e67707o2ARBEAQhm4GyDMVST2meXZ5Pi2uK+HGk7xEEIXMSk65eMYNqinMo1Um3ZHuZPi7cM7h3JJlsBnkIwBjQ1NREa9asIZ/PR1deeSVdc8019OSTT8Z8z4033kgvvvgiPf3001RUVEQ33HADnX/++fTOO+8MOu9rX/sabdiwgRf+0fT29tLpp59Op512Gj300EP08ccf8/kwSuD6giAIgiAIgiAkhmgPoFllubwxmOqkU7K9bBnX+cun0bKZpeJNlgkGgW3bttHLL79MGzdupCOPPJKPPfDAA3TmmWfSL37xC6qurh7ynp6eHvrd737HBoNTTjmFjz322GO0cOFCevfdd+mYY47hY7/61a/4sa2tTdcg8Ic//IG8Xi89+uijZLVa6dBDD6UtW7bQPffcIwYBQRAEQRAEQUgw2jwgwWCQ0oF4OVG0CfnSYVEa3d90SCIYC8kpkyEGgfXr1/OOvDIGAOzYG41G3tk/77zzhrxn06ZN7EmA8xSHHHII1dbWcnvKIDCSa59wwglsDFCcccYZdNddd1FXVxeVlJQMeY/H4+E/rZeBEmjpItSSAcaO+KNsngM9ZF5iI3OTPorQaBAZORS512Mjc6OPzEuYTBu/yMf0vtfPP6KG85609HqoqtDGoU7PbDzA2e5VQj64sWPnOlXnBqX69PobPa5U/jzS6Z5JJiMdf1oYBJqbm6mysnLQMbPZTKWlpfxarPdgEQ9DgpaqqqqY74nVzqxZs4a0oV7TMwjceeeddPvttw85DgOC3++nbL4p+/r6+AsKY44QRuYlNjI3xOPPNERGDkXu9djI3Ogj85KZMlLkY/rf68VGouJiAxF56eO9DfTKlj1UZQ1RUaGFetw+fj6vxJCQvAiJnhuU6ovXXzWuVA/hSLd7ZrLl46QaBG6++WbeaR8uXCDduOWWW+imm24aZN1FMkIYD5AUMVvBlxMJPTAP2fzljEbmJTYyN2HjZ6YhMnIocq/HRuZGH5mXzJSRIh8Hs7fdQc09bsonC80oLU27e31Hdwft7SWqLcmjrqCBgmYru907yM4bm6kmB5Ld34kC89LY46amHqIpRdYhSWmzBfMI5eOkStHvfOc79NWvfjXuObNnz6YpU6ZQa2vroOOwksI6hdf0wHHE/nd3dw/yEkCVgVjvidVOdGUC9TxWO6hYgL9o8EVNN0GWaCC0ZB6GIvMSm2yfm0wct8hIfbL9Xo+HzI0+Mi+ZJyNFPn7GM+/Xc9x6v8dHswuJTu8muvCoWkonphTlUK7NQm1O70BCPi8/x/F9Hf0JySswHjkQnSsgXn/T6f5D2AM8G2DcQP+R8wDJKrMN4wg/s0k1CFRUVPDfcKxcuZIX9sgLgBKB4PXXX2frz4oVK3Tfg/MsFgu99tprXG4Q7Nixgw4cOMDtjRSc+x//8R+cjwDtAVQ6WLBggW64gCAIgiAIgiAIYwcLVRgD4PJdW5JL5HdyXDsyxqdTgrhYCfk213XxMRWnPxkLVmVwie5DOicQVPcO7hWEPcDTAcYNjAeVK9JpHBNJWvhZoTLAqlWr6Oqrr+bSf1ico4TgJZdcEqkw0NDQQKeeeio9/vjjdPTRR3OZwauuuordruDiAjerb3zjG7zA1yYU3L17NzkcDs4H4HK5uIIAWLRoEecg+PKXv8yxXGjre9/7Hn3yySd0//3307333jtp8yEIgiAIgiAImQp2rbFQhTEAm5xFdgvt7fPz8XRb1EWXUQQ3PrUlYuxAGb/oBWuiqxJEtxdtcNH2Ibq/6Tbf6t5BDgSEPcDTAcaNdLx3Joq0MAio8n8wAmDRD/cH7PqrkoEARgJ4APT390eOYdGuzkXGVlQH+M1vfjOo3X/913+lN998M/J82bJl/Lhv3z6aOXMmGxZeeeUVuv7669nroLy8nG699VYpOSgIgiAIgiAISQALUexOY6FakWelHq+P8myWyII63dCWvlu3p11j7Bi6YI21cz+coSDWa3rtVZfkxO1DOpfqU/cOEiIiBwLCHvA8Xe+diSBtDALY5X/yySdjvo7FO6xcWux2Oz344IP8F4u1a9cOe+3DDz+c3nrrrVH2WBAEQRAEQRCE8brazy40cPm7dF2kxjJ2hOP0PZEFa7yde70wA5Q5VDHzj284MMSIEKu9mz4/P2Yf0h3cI7hXkEMA947KIZAJ9w5lu0FAEARBEARBEITsQLmuN/e4KJ/cdNjs8OI33YmVVwDHY3kPbD7QpbuwX1pbRM5eF8fMY1802ogwOPTis/asZmPa5wqIx/nLp3GpRFRHQELETBlXshCDgCAIgiAIgiAIKQcWcrPKclO+7v1oiRWnH8t7AOi7+HvI5/Tya9NL8oa4/8fzRjh2Tnla5woYjpriHPYwT6fqCJOFzJAgCIIgCIIgCMIEggU4FuXahbjyHkApQSzq8Yjny2pLIgv7YDCkWdjbqCTPGuM1e8z21DX1+iBkH+IhIAiCIAiCIAiCkMLeA3ou/rPL86nT6OWYeeQQ0HP/T/eqAULyEYOAIAiCIAiCIAgpT6LL8aUqeln+9Rb2wWAwEjO/bGZpzLlJ56oBY7k/KgusVCx+8CNGDAKCIAiCIAiCIKQ0sTLpZxPxFvbZsuiPhba8Yr7NRJcvK6PzVpZOdrfSArGdCIIgCIIgCIKQsjR0q0z64Sz7eMTiDzvCghBdXhGP/9jaQnvb5f4YCWIQEARBEARBEAQhZekayKSPTPkqkz6ewz1cEFR5Re394fYFuAqDMDxiEBAEQRAEQRAEIWWJl0lfELTlFdX9YbeYuAqDMDxiEBAEQRAEQRAEIaVryiOTfqzyeUJ2o1de8YxFVVyFQRgeSSooCIIgCIIgCEJKM1wmfSG70VZhCFcZ8E52l9IGMQgIgiAIgiAIgpDyZHsmfWFk9wfKMXZ2dk52d9IGCRkQBEEQBEEQBEEQhCxEDAKCIAiCIAiCIAiCkIVIyIAgCIIgCIIgCGlbg17yCmQf8rknDjEICIIgCIIgCIKQdjzzfj09/m4d16BH2TlkmkdyOSGzkc89sUjIgCAIgiAIgiAIabdDjEVhKBSi2pJcfsRzHBcyF/ncE48YBARBEARBEARBSCvgLo4d4vI8GxmNBn7EcxwXMhf53BOPGAQEQRAEQRAEQUgrEDsOd/F2p4eCwRA/4jmOC5mLfO6JRwwCgiAIgiAIgiCkFUgkh9hxg8FAB7r6+RHPJcFcZiOfe+KRpIKCIAiCIAiCIKQdSCS3bMb/b+9egKOq7geO/xLyJuQBgYT3S0Fsef2xIOq0Ko9QnQoChTpUQWlBpNABpxbGClU7BSodWxyQ1kdAR+VhbQVEHAQMbQnvhxYwiAYjkvAoBAKBEJL7n99hdrtLdjcbyD7v9zOzXe/Zc3fvPXfzo/e355HJbPM2w3VvWCQEAAAAAEQkvRnkhtB+uO4Nh4QAAAAAgKjCOvXRgesYeCQEAAAAAEQN1qmPDlzH4IiYSQVPnz4tY8aMkbS0NMnIyJDx48fL+fO+15u8dOmSTJ48WZo1ayapqakyYsQIOX78uFudqVOnSp8+fSQxMVF69epV6z2OHDliJqu49rF169YGP0cAAAAA14916qMD1zF4IiYhoMmA/fv3y/r162XNmjWyefNmmTBhgs99pk2bJqtXr5aVK1dKfn6+HDt2TIYPH16r3mOPPSajR4/2+V4ff/yxlJSUOB+aRAAAAAAQPlinPjpwHYMnIoYMHDx4UNatWyc7duyQ2267zZS99NJLct9998n8+fOlVatWtfY5e/asvPbaa/L222/Lvffea8ry8vKkW7du5tf922+/3ZQtWLDAPJ88eVI+/fRTr8egvQxycnICdIYAAAAAGnKder2JZJ36yMR1DJ6I6CFQUFBghgk4kgFq4MCBEhsbK9u2bfO4z65du6SqqsrUc7jlllukXbt25v3q64EHHpAWLVrIXXfdJatWrbrOMwEAAAAQKKxTHx24jsETET0ESktLzc24q7i4OGnatKl5zds+CQkJJpHgKjs72+s+nujcA3/84x/lzjvvNAmIv/3tbzJs2DD5xz/+YZIEnlRWVpqHw7lz58xzTU2NediVnruO/7FzG3hCu3hH21xtg2hDjKyN77p3tI1ntMtV0Xb+xMeG+a4P/7/W0qtduhw/VynZaYnSKSs1Ktsv2uPA9V7HaG8Xf/l7/iFNCMyYMUPmzZtX53CBUMrKypLp06c7t7/3ve+ZuQheeOEFrwmBOXPmyLPPPlur/MyZM3LlyhWx85eyvLzc/IFqcgVX0S7e0TZizj/aECNr47vuHW3jGe0SnTGS+Nhw3/WMWJGMjBgRuWwmJ49GdogD13Md7dAuDRkfQ5oQePLJJ2XcuHE+63Tq1MmM3T9x4oRbuQZF/VJ4G9ev5ZcvX5aysjK3XgK6ysCNzgXQr18/M7mhNzNnznRLImh2t23btpKZmWlWSbAr/ePU7j7aDnb+47wW7eIdbXO1N1S0IUbWxnfdO9rGM9olOmMk8TE43/WvTp13+9U5UkVLHGjo6xEt7RKs+BjSKNq8eXPzqEv//v3Njb3OC+CY3X/jxo3mYuvNuSdaLz4+XjZs2GCWG1SFhYVSXFxs3u9G7N27V1q2bOn1dV3CUB/X0i+knb+USv84aYfaaBfv7N420XjexEjP7P5d94W28Yx2ib4YSXwM/Hc92ta2j/Q4EKjrEent0hD8PfeISKvqygBDhgyRn//857J48WIzWeAvfvEL+clPfuJcYeDbb7+VAQMGyBtvvCF9+/aV9PR0GT9+vMmy6lwDmlWdMmWKSQY4VhhQhw8flvPnz5t5BS5evGhu9tWtt95q5iBYunSpee7du7cpf++99+T111+XV199NUStAQAAAOBG17bXmet1u3f7TCarCwGuR3iIiISAeuutt0wSQG/6Nduhv/o7lgxUmiTQHgAVFRXOshdffNFZVydoyc3NlUWLFrm9789+9jPJz893bjtu/IuKiqRDhw7mv59//nn5+uuvTbcLXalg+fLlMnLkyCCcNQAAAICGXNtebz4da9vrDPZazg1o8HE9wkPEJAT0V/63337b6+t6867ZJVdJSUmycOFC8/Dmk08+8fm5Y8eONQ8AAAAAkYu17cML1yM82HdQBQAAAADbYG378ML1CA8R00MAAAAAAG6ETlinY9S1W7r+Es3NZ2hxPUKPhAAAAAAA29CbzrpuPHXCO25Sb5w/7ejP9UDgkBAAAAAAgChdmjBUaMfIwBwCAAAAAOBhKTx91m0th/9ox8hBQgAAAAAAXJbC01nvHUvh6baWw3+0Y+QgIQAAAAAA1yyFV1NjsRTedaIdIwcJAQAAAACo51J42v19y5enbNsN3tf5s6Rg5GBSQQAAAACox1J4dp8wz5/zZ0nByEAPAQAAAABwoTevd3TO8tozwM4T5tXn/H21I8IDCQEAAAAA8JPdJ8yz+/lHGxICAAAAABCgCfMiba6Buo6XCQOjC3MIAAAAAICfHBPmaTd5nTDPMYY+GuYa8Od463P+CH8kBAAAAACgHvyZMO/asfb6S7pu637hePNcn+NlwsDoQUIAAAAAAOpJb4J93Qg7xtrrzbVjrL3+oq7l3vbTm3J/b7K/OnVejpaclTY1CXJTizSfdf153/oeb13nj8hAQgAAAAAAGpjrWHu9ua5rrH19hhdo3Te3HpH02Eo5W3NMHr69g8+6/rxvfY8X0YFJBQEAAACggTnG2sfExJhf2vXZ21j7+izl51o3OzXR77r+LBHo7/EietBDAAAAAAACwN+x9vXpru+o2z4zWWJiqySrcYJ8feaiz7r+DgNgbgD7ISEAAAAAAAHiz1j7+nTXd63bLC7G77r+DgNgbgB7YcgAAAAAAIRQfbrru9Y9fr7S77oMA4An9BAAAAAAgBCrT3d9rdurXbocLTkpbVo297nKAMMA4AsJAQAAAAAIA/Xprt8pK1UyYi9L06Z112cYALxhyAAAAAAAADZED4Eg0OU91Llz58TOampqpLy8XOLi4iQ2llyUA+3iHW3zv7jhiCPRiBjJd90X2sYz2sUeMZL4yHfdF9rGM9qlfvGRhEAQ6BdStW3bNtSHAiCC40h6erpEI2IkgBsVrTGS+Agg0PExxorWlGqYZamOHTsmTZo0MTN72jlLpf+gffPNN5KW5n3iE7uhXbyjba5mdTWQt2rVKmqz3MRIvuu+0Dae0S72iJHER77rvtA2ntEu9YuP9BAIAr0Abdq0CfVhhA39w7TzH6c3tIt3dm+baPzVyxUx8n/s/l33hbbxjHaJ7hhJfPwfvuve0Tae0S7iV3yMvlQqAAAAAACoEwkBAAAAAABsiIQAgiYxMVFmz55tnvE/tIt3tA3sgu+6d7SNZ7QL7ILvune0jWe0S/0wqSAAAAAAADZEDwEAAAAAAGyIhAAAAAAAADZEQgAAAAAAABsiIQAAAAAAgA2REECDOX36tIwZM0bS0tIkIyNDxo8fL+fPn/e5z6VLl2Ty5MnSrFkzSU1NlREjRsjx48fd6kydOlX69OljZgrt1auXRIKFCxdKhw4dJCkpSfr16yfbt2/3WX/lypVyyy23mPrdu3eXtWvXur2uc3/OmjVLWrZsKcnJyTJw4ED54osvJNI0dLu89957MnjwYPP9iYmJkb179wb4DIDrR4y8ivjoHTESdkV8vIr46B3xMXBICKDBaCDfv3+/rF+/XtasWSObN2+WCRMm+Nxn2rRpsnr1avNHm5+fL8eOHZPhw4fXqvfYY4/J6NGjJRIsX75cpk+fbpY72b17t/Ts2VNyc3PlxIkTHutv2bJFHnroIfOP3549e2TYsGHm8Z///MdZ5w9/+IMsWLBAFi9eLNu2bZPGjRub99R/DCNFINrlwoULctddd8m8efOCeCbA9SFGEh99IUbCzoiPxEdfiI8BpssOAjfqwIEDunyltWPHDmfZhx9+aMXExFjffvutx33Kysqs+Ph4a+XKlc6ygwcPmvcpKCioVX/27NlWz549rXDXt29fa/Lkyc7t6upqq1WrVtacOXM81h81apR1//33u5X169fPmjhxovnvmpoaKycnx3rhhRfc2i4xMdF65513rEjR0O3iqqioyHxv9uzZE4AjB24cMfIq4qN3xEjYFfHxKuKjd8THwKKHABpEQUGB6eJ12223Ocu0W1JsbKzJSHqya9cuqaqqMvUctGtPu3btzPtFosuXL5vzcj0nbQPd9nZOWu5aX2nW01G/qKhISktL3eqkp6eb7lKR0k6BaBcgkhAjiY++ECNhZ8RH4qMvxMfAIyGABqEBp0WLFm5lcXFx0rRpU/Oat30SEhLMPwKusrOzve4T7k6dOiXV1dXmHPw9Jy33Vd/xXJ/3tEO7AJGEGEl89IUYCTsjPhIffSE+Bh4JAfg0Y8YMM9GGr8fnn38e6sMEgJAgRgKAZ8RHIDLEhfoAEN6efPJJGTdunM86nTp1kpycnFoTe1y5csXMGquveaLl2g2orKzMLcOrM8R62yfcZWVlSaNGjWrNcuvrnLTcV33Hs5bpLLGudSJhxtxAtQsQDoiR/iM+ekeMRDQiPvqP+Ogd8THw6CEAn5o3b27GZPl6aJet/v37m6CsY3wcNm7cKDU1NWaskie6DEx8fLxs2LDBWVZYWCjFxcXm/SKRtoWel+s5aRvotrdz0nLX+kpn2XXU79ixowlgrnXOnTtnxtVFSjsFol2AcECM9B/x0TtiJKIR8dF/xEfviI9BEOBJC2EjQ4YMsXr37m1t27bN+te//mXdfPPN1kMPPeR8/ejRo1bXrl3N6w6PP/641a5dO2vjxo3Wzp07rf79+5uHqy+++MLM/Kkzg3bp0sX8tz4qKyutcLRs2TIzg+uSJUvMzLkTJkywMjIyrNLSUvP6ww8/bM2YMcNZ/9///rcVFxdnzZ8/38yQqzPh6sy5n332mbPO3LlzzXu8//771qeffmoNHTrU6tixo3Xx4kUrUgSiXf773/+a78IHH3xgZojVz9DtkpKSkJwj4AsxkvjoCzESdkZ8JD76QnwMLBICaDD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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "problem = optimization.OptimizationProblem()\n", "\n", "# Variable Definition\n", "# thicknesses\n", "problem.add_variable(lens, \"thickness\", surface_number=9, min_val=10, max_val=20)\n", "\n", "# RMS spot size - let's minimize the spot size for each field at the primary wavelength.\n", "# We choose a 'uniform' distribution, so the number of rays actually means the rays\n", "# along one axis.\n", "for field in lens.fields.get_field_coords():\n", " input_data = {\n", " \"optic\": lens,\n", " \"surface_number\": -1,\n", " \"Hx\": field[0],\n", " \"Hy\": field[1],\n", " \"num_rays\": 16,\n", " \"wavelength\": 0.633,\n", " \"distribution\": \"uniform\",\n", " }\n", " problem.add_operand(\n", " operand_type=\"rms_spot_size\",\n", " target=0.0,\n", " weight=10,\n", " input_data=input_data,\n", " )\n", "\n", "# Local optimizer\n", "optimizer = optimization.OptimizerGeneric(problem)\n", "optimizer.optimize()\n", "problem.info()\n", "\n", "# Final spot diagram\n", "spot = analysis.SpotDiagram(lens, num_rings=10, distribution=\"hexapolar\")\n", "spot.view()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**3. Folded Mirror System Design in Optiland - Approach 2 (less intuitive)**" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this approach, we make use of the `thickness` parameter, though now we define decenters with their corresponding parameters dx, dy (decenters in x, and y, respectively).\n", "
\n", "Comparing this method with the first approach, if we want to rotate the first mirror, we use the same rx parameter as before, but we set its thickness to 0, and in the next added surface, the translation happens in the y-axis (due to the downard-direction reflection at the mirror), and therefore we should locate the second mirror by passing the parameter `dy=-15`. Because the second mirror changes once again the direction of the rays (they propagate once more in the +z direction), we set the parameter `thickness=20` in this second mirror surface, to say that \"the distance (z) from this mirror to the next surface is 20 mm\". And so on..." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-03-24T10:13:24.808507Z", "iopub.status.busy": "2026-03-24T10:13:24.808317Z", "iopub.status.idle": "2026-03-24T10:13:26.594857Z", "shell.execute_reply": "2026-03-24T10:13:26.594389Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lens2 = optic.Optic()\n", "\n", "lens2.surfaces.add(index=0, radius=np.inf, thickness=-np.inf)\n", "lens2.surfaces.add(index=1, thickness=10)\n", "lens2.surfaces.add(\n", " index=2, thickness=5, material=\"bk7\", surface_type=\"standard\"\n", ") # material in\n", "lens2.surfaces.add(\n", " index=3, thickness=10, material=\"air\", surface_type=\"standard\"\n", ") # material out\n", "lens2.surfaces.add(\n", " index=4, thickness=0, material=\"mirror\", rx=-np.pi / 4, is_stop=True\n", ") # first mirror\n", "lens2.surfaces.add(\n", " index=5, thickness=20, dy=-15, material=\"mirror\", rx=-np.pi / 4\n", ") # second mirror\n", "lens2.surfaces.add(\n", " index=6, thickness=0, dy=-15, material=\"mirror\", rx=np.pi / 4\n", ") # third mirror\n", "lens2.surfaces.add(\n", " index=7, thickness=0, dy=-10, radius=-30, material=\"bk7\", rx=np.pi / 2\n", ") # material in\n", "lens2.surfaces.add(\n", " index=8, thickness=0, dy=-5, radius=30, material=\"air\", rx=np.pi / 2\n", ") # material out\n", "lens2.surfaces.add(\n", " index=9, thickness=10, dy=10, material=\"mirror\", rx=np.pi / 4\n", ") # fourth mirror\n", "lens2.surfaces.add(index=10, dy=10) # Image plane\n", "\n", "# System Settings\n", "lens2.set_aperture(aperture_type=\"EPD\", value=5.0)\n", "lens2.fields.set_type(field_type=\"angle\")\n", "lens2.fields.add(y=-0.5)\n", "lens2.fields.add(y=0)\n", "lens2.fields.add(y=0.5)\n", "lens2.wavelengths.add(value=0.633, is_primary=True)\n", "\n", "# visulaize the system\n", "lens2.draw()\n", "lens2.draw3D(num_rays=10)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Conclusion:**
\n", "We have explored the surfaces' coordinate systems in Optiland, as well as providing two approaches to design complex optical systems which involve several changes in coordinates, as it happens with folding mirrors. The first approach presents itself as a more intuitive method, since we are effectively localizing each surface according to its coordinate system in the 3D space. The second approach, however, involves considering that after folding mirrors, the translation happens in another axis and special care is needed to ensure the correct modelling of the system. " ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 2 }