From dc77138104fd2bb9db5251a030e7e7e5958b2ff0 Mon Sep 17 00:00:00 2001 From: EvanBianco Date: Sun, 20 Feb 2022 11:09:09 -0400 Subject: [PATCH 1/3] removing out of date notebook --- docs/_userguide/_Wedges.ipynb | 935 ---------------------------------- 1 file changed, 935 deletions(-) delete mode 100644 docs/_userguide/_Wedges.ipynb diff --git a/docs/_userguide/_Wedges.ipynb b/docs/_userguide/_Wedges.ipynb deleted file mode 100644 index ba88bab..0000000 --- a/docs/_userguide/_Wedges.ipynb +++ /dev/null @@ -1,935 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "corporate-inspector", - "metadata": {}, - "source": [ - "# Wedges in `bruges`\n", - "\n", - "Let's make wedge models!\n", - "\n", - "We're going to make **all sorts of models** using one magical function. Here's what it can do:\n", - "\n", - "- Layer-cake models with no dip.\n", - "- Wedge models with arbitrary thickness on the left and right.\n", - "- Clinoform models.\n", - "- Models filled with arbitrary stratigraphy, from constant values to well logs.\n", - "\n", - "All these models can have varying amounts of rock above and below them, and can be extended left and right beyond the wedgy part. You can also dip the wedge in either direction.\n", - "\n", - "**This is a new feature introduced in v0.4.2; if you find bugs, please let us know by [raising an issue](https://github.com/agile-geoscience/bruges/issues).**" - ] - }, - { - "cell_type": "markdown", - "id": "french-swing", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## The default model and a basic synthetic workflow\n", - "\n", - "We can produce a simple wedge model just by calling the function." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "changed-graphic", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "import bruges as bg\n", - "import matplotlib.pyplot as plt\n", - "\n", - "w, top, base, ref = bg.models.wedge()\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "severe-companion", - "metadata": {}, - "source": [ - "You can then use this integer model to index into an array of rock properties:" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "environmental-transfer", - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "\n", - "rocks = np.array([2.32 * 2.65, # Rock index 0\n", - " 2.35 * 2.60, # Rock index 1\n", - " 2.35 * 2.62, # Rock index 2\n", - " ])\n", - "\n", - "# Fancy indexing into the rocks with the model.\n", - "impedance = rocks[w]\n", - "\n", - "# Make reflectivity.\n", - "rc = bg.reflection.reflectivity(impedance)\n", - "\n", - "# Get a wavelet.\n", - "ricker, _ = bg.filters.ricker(0.064, 0.001, 40, sym=True, return_t=True)\n", - "\n", - "# Repeated 1D convolution for a synthetic.\n", - "syn = np.apply_along_axis(np.convolve, arr=rc, axis=0, v=ricker, mode='same')" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "reported-classroom", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, axs = plt.subplots(figsize=(17, 4), ncols=5, gridspec_kw={'width_ratios': (4, 4, 4, 1, 4)})\n", - "axs[0].imshow(w)\n", - "axs[0].set_title('Wedge model')\n", - "axs[1].imshow(impedance)\n", - "axs[1].set_title('Impedance')\n", - "axs[2].imshow(rc)\n", - "axs[2].set_title('Reflectivity')\n", - "axs[3].plot(ricker, np.arange(ricker.size))\n", - "axs[3].axis('off')\n", - "axs[3].set_title('Wavelet')\n", - "axs[4].imshow(syn)\n", - "axs[4].set_title('Synthetic')\n", - "axs[4].plot(top, 'w', alpha=0.5)\n", - "axs[4].plot(base, 'w', alpha=0.5)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "qualified-formula", - "metadata": {}, - "source": [ - "Note that we could also have made the impedance model directly — it just depends how you want to make your models. \n", - "\n", - "So we can use the `strat` argument, and pass in the rock properties there. " - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "diagnostic-journey", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(strat=rocks)\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "international-domain", - "metadata": {}, - "source": [ - "Now the wedge contains rock properties, not integer labels." - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "combined-relaxation", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148,\n", - " 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148,\n", - " 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148, 6.148,\n", - " 6.148, 6.148, 6.148, 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 ,\n", - " 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 ,\n", - " 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.11 , 6.157, 6.157, 6.157,\n", - " 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157,\n", - " 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157,\n", - " 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157,\n", - " 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157,\n", - " 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157, 6.157,\n", - " 6.157])" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "w[:, 50]" - ] - }, - { - "cell_type": "markdown", - "id": "radical-listing", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## A layered wedge model\n", - "\n", - "We can modify the stratigraphy of any layer. E.g., let's pass `(1, 2, 1, 2, 1)` in as the wedge strat, instead of just `1`. We'll also change the bottom layer to a `3`, so now we have 4 rocks." - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "hidden-phone", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(depth=(100, 600, 100),\n", - " width=(200, 1600, 200),\n", - " strat=(0, (1, 2, 1, 2, 1), 3),\n", - " mode='linear'\n", - " )\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "sticky-playback", - "metadata": {}, - "source": [ - "Notice that the `wedge` function returns 4 things:\n", - "\n", - "- The wedge model as a 2D NumPy array of ints (or whatever numbers you gave as input).\n", - "- The top horizon, in pixel index units, for convenience.\n", - "- The base horizon, in pixel index units, for convenience.\n", - "- The horizontal (left-right) position, as an integer, of the 'reference' model. You may or may not be interested in this, depending on your application.\n", - "\n", - "If you only want the wedge, you can call the function like so:\n", - "\n", - " wedge, *_ = bg.models.wedge()" - ] - }, - { - "cell_type": "markdown", - "id": "protecting-credit", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## Arbitrary thicknesses\n", - "\n", - "You can provide the minimum and maximum thickness of the wedge.\n", - "\n", - "**Note:** If the maximum thickness of the wedge if more than 1, then the total depth (i.e. number of rows) of the model will be more than the sum of the `depth` argument, so that the entire model can be accommodated. If you don't want the 'extra' depth, you can slice them off the model as with any NumPy array.\n", - "\n", - "Here's a layer cake:" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "frequent-dominant", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(depth=(10., 80, 10),\n", - " width=(10, 80, 10),\n", - " strat=(0, (1, 2, 2, 1, 2, 1, 0, 1, 1,), 3), # Floats in the wedge\n", - " thickness=(1, 1),\n", - " mode='linear',\n", - " )\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "unsigned-parks", - "metadata": {}, - "source": [ - "Here's another example. This time we'll also pass in floats — velocities perhaps." - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "reduced-modeling", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(depth=(10., 80, 10),\n", - " width=(10, 80, 10),\n", - " strat=(1.48, (2.10, 2.25, 2.35), 2.40), # Floats in the wedge.\n", - " thickness=(1, 0.5),\n", - " mode='linear',\n", - " )\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "cb = plt.colorbar()\n", - "cb.ax.invert_yaxis()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "outdoor-edmonton", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## Top and bottom conformance\n", - "\n", - "The layers in the wedge can also be top or bottom conforming, rather than proportionally adjusted." - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "elementary-leeds", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "confs = ['both', 'top', 'bottom']\n", - "\n", - "fig, axs = plt.subplots(ncols=len(confs), figsize=(12, 4))\n", - "for ax, conf in zip(axs, confs):\n", - " w, top, base, ref = bg.models.wedge(strat=((0, 1, 0), (2, 3, 2, 3, 2), (4, 5, 4)),\n", - " conformance=conf)\n", - " ax.imshow(w, interpolation='none')\n", - " ax.axvline(ref, color='k', ls='--')\n", - " ax.plot(top, 'r-', lw=4)\n", - " ax.plot(base, 'r-', lw=4)\n", - " ax.set_title(f\"{conf} conformant\")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "packed-closing", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## Different 'wedge' shapes\n", - "\n", - "The linear wedge is familiar, but you can also have other shapes (`power` and `root` were new in v0.4.3):" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "defined-cassette", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "modes = ['linear', 'root', 'power', 'sigmoid']\n", - "\n", - "fig, axs = plt.subplots(ncols=len(modes), figsize=(15, 5))\n", - "for ax, mode in zip(axs, modes):\n", - " w, top, base, ref = bg.models.wedge(mode=mode)\n", - " ax.imshow(w, interpolation='none')\n", - " ax.axvline(ref, color='k', ls='--')\n", - " ax.plot(top, 'r-', lw=4)\n", - " ax.plot(base, 'r-', lw=4)\n", - " ax.set_title(mode)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "capital-analyst", - "metadata": {}, - "source": [ - "If you're feeling creative, you can also give `wedge()` your own function (since version 0.4.3). Your function should have an API like `np.linspace()` (the function that produces the standard wedge shape). Here's an example:" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "plastic-lafayette", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "def wavy(start, stop, num):\n", - " \"\"\"\n", - " Custom wedge shape.\n", - " \"\"\"\n", - " x = np.linspace(0, 10*np.pi, num)\n", - " y = np.sin(x) + x\n", - " \n", - " # Normalize to 0-1.\n", - " y_ = (y - np.min(y)) / (np.max(y)-np.min(y))\n", - " \n", - " # Scale to required output.\n", - " return min(start, stop) + abs(stop-start) * y_\n", - "\n", - "\n", - "# The wedge function will pass 'left' and 'right' thicknesses.\n", - "# You only need to worry about the case where left < right.\n", - "left, right = 1, 2\n", - "y = wavy(left, right, 100)\n", - "\n", - "plt.plot(y)\n", - "plt.ylim(right, 0)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "guided-secondary", - "metadata": {}, - "source": [ - "Let's use that function to make a model:" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "sublime-poverty", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(mode=wavy, thickness=(1, 0))\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "exciting-completion", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## Varying net:gross across `breadth`\n", - "\n", - "**This is a new feature introduced in v0.4.3; if you find bugs, please let us know by [raising an issue](https://github.com/agile-geoscience/bruges/issues).**\n", - "\n", - "If you define a **binary wedge** — i.e. exactly 2 lithologies in the wedge layer — then you can pass a `breadth` argument to get a 3D model. The new dimension contains the 2 pure litholgies at each end, and pinches them out across the model's 'breadth'. Now the top and base are 2D arrays (surfaces through the wedge volume), while `ref` is still a scalar (the lateral position of the reference 'trace')." - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "psychological-spanish", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "((100, 100, 100), (100, 100), (100, 100), 89)" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(strat=(0, (1, 2, 1, 1, 2, 1), 3), # Binary wedge.\n", - " breadth=100)\n", - "\n", - "w.shape, top.shape, base.shape, ref" - ] - }, - { - "cell_type": "markdown", - "id": "framed-alaska", - "metadata": {}, - "source": [ - "Let's look at 3 slices: one from one end of the 'net:gross' axis (the last axis), one from the other end (right hand image), and one from halfway (middle image). These are the net:gross end-members." - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "polish-shirt", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "slices = [0, 50, 99]\n", - "\n", - "fig, axs = plt.subplots(ncols=len(slices), figsize=(16, 4))\n", - "for ax, slic in zip(axs, slices):\n", - " ax.imshow(w[..., slic], interpolation='none')\n", - " ax.plot(top[:, slic], 'r-', lw=4)\n", - " ax.plot(base[:, slic], 'r-', lw=4)\n", - " ax.set_title(f\"Wedge slice: {slic}\")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "cathedral-ceramic", - "metadata": {}, - "source": [ - "Slices in/out of the page, look like this:" - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "indirect-booth", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "slices = [30, 50, 90]\n", - "\n", - "fig, axs = plt.subplots(ncols=len(slices), figsize=(16, 4))\n", - "for ax, slic in zip(axs, slices):\n", - " ax.imshow(w[:, slic], interpolation='none')\n", - " ax.plot(top[slic], 'r-', lw=4)\n", - " ax.plot(base[slic], 'r-', lw=4)\n", - " ax.set_title(f\"Net:gross slice: {slic}\")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "falling-seller", - "metadata": {}, - "source": [ - "Let's simulate the seismic:" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "selected-settle", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(99, 100, 100)" - ] - }, - "execution_count": 17, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "rocks = np.array([2.32 * 2.65, # Rock index 0\n", - " 2.35 * 2.60, # Rock index 1\n", - " 2.35 * 2.62, # Rock index 2\n", - " 2.37 * 2.61, # Rock index 3\n", - " ])\n", - "\n", - "impedance = rocks[w]\n", - "rc = (impedance[1:] - impedance[:-1]) / (impedance[1:] + impedance[:-1])\n", - "syn_ = [np.apply_along_axis(np.convolve, arr=line, axis=0, v=ricker, mode='same')\n", - " for line in np.moveaxis(rc, 1, 0)]\n", - "syn = np.moveaxis(syn_, 0, 1)\n", - "syn.shape" - ] - }, - { - "cell_type": "markdown", - "id": "enhanced-cookbook", - "metadata": {}, - "source": [ - "Let's look at the three orthognal profiles through this synthetic:" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "liquid-manchester", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "ma = np.percentile(syn, 99.9)\n", - "vols, cmaps = [w, syn], ['viridis', 'gray']\n", - "\n", - "fig, axs = plt.subplots(ncols=3, nrows=2, figsize=(14, 8))\n", - "for row, vol, cm in zip(axs, vols, cmaps):\n", - " row[0].imshow(vol[:, :, 24], aspect='auto', interpolation='none', cmap=cm, vmin=-ma if vol is syn else None, vmax=ma if vol is syn else None)\n", - " row[0].axhline(40, c='w', lw=0.67)\n", - " row[0].axvline(50, c='w', lw=0.67)\n", - " row[0].set_title(f\"Wedge axis\")\n", - " row[1].imshow(vol[:, 50, :], aspect='auto', interpolation='none', cmap=cm, vmin=-ma if vol is syn else None, vmax=ma if vol is syn else None)\n", - " row[1].axhline(40, c='w', lw=0.67)\n", - " row[1].axvline(24, c='w', lw=0.67)\n", - " row[1].set_title(f\"Net:gross axis\")\n", - " row[2].imshow(vol[40, :, :], aspect='auto', interpolation='none', cmap=cm, vmin=0 if vol is w else -ma, vmax=ma if vol is syn else None)\n", - " row[2].axhline(50, c='w', lw=0.67)\n", - " row[2].axvline(24, c='w', lw=0.67)\n", - " row[2].set_title(f\"Timeslice axis\")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "functional-scene", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## Models from well logs\n", - "\n", - "We can pass in arrays as `strat` and they will be used as the values in the model layers.\n", - "\n", - "We'll start by loading a CSV file of a well log and dissecting it into three zones that we can pass in as `strat`. [Welly](https://code.agilescientific.com/welly/) would but useful for this, but we can also select these segments using conditions on the key depth boundaries." - ] - }, - { - "cell_type": "code", - "execution_count": 104, - "id": "b6903ba3", - "metadata": {}, - "outputs": [], - "source": [ - "log_data = np.loadtxt('../data/P-129.csv', delimiter=',', skiprows=1)\n", - "depths, impedance = log_data[:, 0], log_data[:, 4]" - ] - }, - { - "cell_type": "code", - "execution_count": 105, - "id": "1dc12225", - "metadata": {}, - "outputs": [], - "source": [ - "datum, top, base, floor = 500, 701, 805, 1005 \n", - "\n", - "log_upper = impedance[(depths >= datum) & (depths < top)]\n", - "log_wedge = impedance[(depths >= top) & (depths < base)]\n", - "log_lower = impedance[(depths >= base) & (depths < floor)]\n", - "\n", - "upper_depths = depths[(depths >= datum) & (depths < top)]\n", - "wedge_depths = depths[(depths >= top) & (depths < base)]\n", - "lower_depths = depths[(depths >= base) & (depths < floor)]" - ] - }, - { - "cell_type": "markdown", - "id": "1797dee4", - "metadata": {}, - "source": [ - "A quick plot of the three zones shows us the stratigraphic inputs to the `wedge` function." - ] - }, - { - "cell_type": "code", - "execution_count": 108, - "id": "ae5d27b9", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(1005.0, 500.0)" - ] - }, - "execution_count": 108, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(2, 8))\n", - "plt.plot(log_upper, upper_depths, lw=2)\n", - "plt.plot(log_wedge, wedge_depths, lw=1)\n", - "plt.plot(log_lower, lower_depths, lw=1)\n", - "plt.ylim(floor, datum)" - ] - }, - { - "cell_type": "markdown", - "id": "210c89b0", - "metadata": {}, - "source": [ - "The middle piece (orange) will be fitted to the middle layer of the wedge (resulting in the number of pixels given in the `depth` argument. The upper (blue) and lower (green) pieces will then be cropped to fit their layers, so you must provide enough data for this to happen. The safest thing to do is to provide the _entire_ log above and the same below.\n", - "\n", - "Now we can send these pieces to `wedge`; it will squeeze all of `log_wedge` into the 104 pixels allotted to the wedge layer in `depth`. But it will only use the bits of `log_above` and `log_below` that it needs for the 200 pixels above and the 205 below (adjusting for the scale implied by the wedge). We've chosen the depth interval for each layer to equal the length of each log segment in metres. This is not required however, it simply prevents distorting the individual segments at the reference trace." - ] - }, - { - "cell_type": "code", - "execution_count": 109, - "id": "b7add786", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(depth=(200, 104, 205),\n", - " width=(20, 260, 20), \n", - " strat=(log_upper[:-1], log_wedge[1:], log_lower[1:]),\n", - " mode='sigmoid', conformance='bottom',\n", - " thickness=(0, 1)\n", - " )\n", - "ref = 280\n", - "datum = upper_depths[0]\n", - "log = w[:, ref]\n", - "depth = np.arange(len(log))\n", - "fig, axs = plt.subplots(figsize=(12, 6), ncols=2, gridspec_kw={'width_ratios': (1, 5)})\n", - "axs[0].plot(log, depth)\n", - "axs[0].set_ylim(depth[-1], depth[0])\n", - "axs[0].set_title('Well A: impedance')\n", - "\n", - "\n", - "im=axs[1].imshow(w, aspect='auto', cmap='viridis_r', vmin=30, vmax=50)\n", - "axs[1].axvline(ref, color='k', ls='--')\n", - "axs[1].plot(top, 'r-', lw=4)\n", - "axs[1].plot(base, 'r-', lw=4)\n", - "axs[1].fill_betweenx(depth, 2*(log/10) + ref, ref, color='w', alpha=1.0)\n", - "axs[1].plot(2*(log/10) + ref, depth, c='k', lw=0.5)\n", - "axs[1].set_title('A model of impedance')\n", - "axs[1].set_xlim(0, 300)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "timely-forward", - "metadata": {}, - "source": [ - "---\n", - "© 2021 Agile Scientific, licensed CC-BY / Apache 2.0" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "geoml", - "language": "python", - "name": "geoml" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.9.7" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} From ad54339776a74d01fd91f93ca43179ab51361a8e Mon Sep 17 00:00:00 2001 From: EvanBianco Date: Sun, 20 Feb 2022 11:10:13 -0400 Subject: [PATCH 2/3] trying again with Wedges --- docs/_userguide/Wedges.ipynb | 1037 ++++++++++++++++++++++++++++++++++ 1 file changed, 1037 insertions(+) create mode 100644 docs/_userguide/Wedges.ipynb diff --git a/docs/_userguide/Wedges.ipynb b/docs/_userguide/Wedges.ipynb new file mode 100644 index 0000000..6aa3d52 --- /dev/null +++ b/docs/_userguide/Wedges.ipynb @@ -0,0 +1,1037 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "corporate-inspector", + "metadata": {}, + "source": [ + "# Wedges in `bruges`\n", + "\n", + "Let's make wedge models!\n", + "\n", + "We're going to make **all sorts of models** using one magical function. Here's what it can do:\n", + "\n", + "- Layer-cake models with no dip.\n", + "- Wedge models with arbitrary thickness on the left and right.\n", + "- Clinoform models.\n", + "- Models filled with arbitrary stratigraphy, from constant values to well logs.\n", + "\n", + "All these models can have varying amounts of rock above and below them, and can be extended left and right beyond the wedgy part. You can also dip the wedge in either direction.\n", + "\n", + "**This is a new feature introduced in v0.4.2; if you find bugs, please let us know by [raising an issue](https://github.com/agile-geoscience/bruges/issues).**" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "id": "mechanical-genius", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import bruges as bg" + ] + }, + { + "cell_type": "markdown", + "id": "french-swing", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## The default model and a basic synthetic workflow\n", + "\n", + "We can produce a simple wedge model just by calling the function." + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "changed-graphic", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge()\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "severe-companion", + "metadata": {}, + "source": [ + "You can then use this integer model to index into an array of rock properties:" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "80b58fa4", + "metadata": {}, + "outputs": [], + "source": [ + "vps = np.array([2320, 2350, 2350])\n", + "vss = np.array([1150, 1250, 1200])\n", + "rhos = np.array([2650, 2600, 2620])" + ] + }, + { + "cell_type": "markdown", + "id": "f513fc44", + "metadata": {}, + "source": [ + "We can use these to make `vp`, `vs` and `rho` earth models. We can use NumPy’s fancy indexing by passing our array of indicies to access the rock properties (in this case acoustic impedance) for every element at once." + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "5ff4f7e7", + "metadata": {}, + "outputs": [], + "source": [ + "vp = vps[w]\n", + "vs = vss[w]\n", + "rho = rhos[w]" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "environmental-transfer", + "metadata": {}, + "outputs": [], + "source": [ + "# Make reflectivity.\n", + "rc = bg.reflection.acoustic_reflectivity(vp, rho)\n", + "\n", + "# Get a wavelet.\n", + "ricker, _ = bg.filters.ricker(0.064, 0.001, 40, sym=True, return_t=True)\n", + "\n", + "# Repeated 1D convolution across the rc array.\n", + "syn = bg.filters.convolve(rc, ricker)" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "reported-classroom", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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H9LdrGn/3XkE0hvE+ojHdb47fdx9RRvqRuMvkmK6S8XjqbwC/RnQOmMgngPPi7Xwz9fyniXp6WTdwYxa3QaKiqDeKyDBRQH03URKqfp66jShj/POJNjKOic4t45rG9fa7gb+Jt/fWcTYx7vnSTI+oTQm54Ek0tdV9qvrOVrfFmMUo7s61TVX/ptVtMcYsHBIVHL0POCkubmSMWaJE5JNEw0LtWmKRsjHWC5CIPI4oa/YoUabsN4C+ljbKGGOMMQkRcYiGgX3JgmpjljYR6Sbq2XnRFKuaBcy6gi9MJwE/IyrH/wHgDfEUP8YYY4xpMYnmtz9CNH7cepMtEt29/du7e/v/q9XtMAuLiPwjUbfwf1XVR1vdHjN7ZhRYi8iVInK/iDwkIr1Tv8M0g6r+n6puUNUOVT1LVf9n6neZxciOwbkRT59hXbfMGHYMmvHEc8t3qepj4rGVZnFYlAkpO4/NLlX92/h8YDPjLHLHfIKIp5H5MFFBnPOIJj4/r1kNM8ZMzo5BY1rLjkFjzEJn5zFjmmcmY6wfDzykqo8AiMiXiMb63jPRG4pS0jY6Z/CRxixcZYapamU68xNP11Efgx2rirry5I4mNsGYhePQjhFGDlZbegy6nZ1aWLm6iU0wZuGoHTpAMDzczGPQzNwxnce8VXYeM0uTf3Di89hMAut1ZKeF2UZUZj5DRF4LvBagjQ6eIM+cwUcas3DdqD9u9iaP+hhcsbadP/rS0/KrGLMkfPwlVzd7k0d9DHorVnHKG/682e0wZkHY8pH3troJZqyjP4+tXMX6N9l5zCxN294/8Xls1seKqOrHVPVSVb20kEzraoyZK+ljsGNVsdXNMWbJSR+Dbqf12jLGLDzp85hj5zFjxjWTwHo7sCG1vD5+zhgzN+wYNKa17Bg0xix0dh4zpklmEljfDJwpIqeKSBF4CfDt5jTLGDMNdgwa01p2DBpjFjo7jxnTJMc8xlpVfRH5U+AHgAt8UlV/1bSWGWMmZcegMa1lx6AxZqGz85gxzTOT4mWo6neB7zapLcaYo2THoDGtZcegMWahs/OYMc2xKCe6N8YYY4wxxhhj5ooF1sYYY4wxxhhjzAxYYG2MMcYYY4wxxsyABdbGGGOMMcZMTVrdAGPM/DWj4mXGGGOMMcYsIdrqBixpdmvDtNokv4MWWBtjjDHGGGPmBwuezQJlXcGNMcYYY4yZmoV8s832sFnALLA2xhhjjDFmaoJ1BZ89FlSbBc4Ca2OMMcYYY6bHAmtjzLgssDbGGGOMMWZqllM1xkzIipcZY4wxxhgzNQHCVjdiUZrmLQu1WxtmHrPA2hhjjDHGmKk5WFfwOWWBtFlILLA2xhhjjDFmala8bJYddSAt9uMw84cF1sYYY4wxxkzNAYJWN2LJsiDazHMWWBtjjDHGGDM1BxtjHWl2jDtepnq8QNq6hpt5zAJrY4wxxhhjpuZigfXsywfUVtjMLBAWWBtjjDHGGDO1AlBrdSMWKxWyQbWknh+PBdKmFSb5vbPA2hhjjDHGmEl09/YL0XWz3+q2LHqpwGVMUD3VsjEtZIG1McYYY4wxk3Pjr0s+Yy00P55N8tSSC6Zz/5+0u/dMi5tZkG5myAJrY4wxxhhjJleKv5Zb2oql5mgC6aOequtoG2MM1hXcGGOMMcaYGWiLv1pgDbM2m7fm0uHZ7LWOyWBPFuTosWSwLdg2U5r498oCa2OMMcYYYyZngXUr5IuZjekafpRZawuczSyywNoYY4wxxpjJLYu/DrW0FfNFszPWSiNwnmyMtTNJoJ03067ixozHuoIbY4wxxhhzzOqB9ZGWtmIpktTXiYJuGNtVfLx18usb00QWWBtjjDHGGDO5FfHXwZa2Yp5odkyq42xPcxlsHTPGerwx11NktI+i4WIZbjMey1gbY4wxxhhzzI6Pv+5raSvmA6W5XcHjQEU0DrDTy9N8b/IGJ/96YwtjAmXLWJsms8DaGGOMMcaYyZ0Qf93T0lYsRnHiOcla17+OlxnMZ6RzY64ls5zNaMtRjrm2jLUZ1yQ3ZCywNsYYY4wxZnInAiFwoNUNmRdmqXiZaGqKrfE+Q+Uou3PnAvHMa/mVm/dNWUy+NFlgbYwxxhhjzOQ2AtsG+nrCVjdkUdJGV3CJ97AK0a2MetdwR1BSkfeYDLRmu347+Yx19j1j4urxtmdMzmQ9GfIjEcZ5s2wQkZ+KyD0i8isReVP8/GoRuUpEHoy/rmpek40xdXYMGtNadgwaY4DTgEda3Yhj1ezzWD2GbeYDBQkF4oeEREF0fUx3SDaLrfmHZB6qU+eNRTR5jG1Qfl172GPy36cpA2vAB96iqucBlwF/IiLnAb3Aj1X1TODH8bIxpvnsGDSmtewYNMacDjzc6kbMwPw+j9Uz1WH0NXoIEoAEggQSB9sSBdghSQCePOKMd/0xJvDOGZOhzryWfThOIwCf6cNx7LGQH5OZsiu4qu4Edsb/HxSRe4F1wG8AV8SrfRr4GfBXU23PGHN07Bg0prXsGDRmaevu7T+RaIz1Pa1uy7Ga9+exesZaID1vtQRCPXssYRQ/S30FJzUee4JN5p8Rp/GGVC/z+scln6WazU6Ol/2eLDCfzHhTi5nF4ajGWItIN3ARcCNwYnyQAuwiOuEYY2aRHYPGtJYdg8YsSZfEX29paSuaZD6exySsB67ZcdEOoMkg61xXXIfMumMC1nGm66qvI6LxmO38CpK8rpNUaBMZP9ieeH2LppeCaQfWItIFfB14s6oekdRvtqqqTPAbIyKvBV4L0EbHzFprzBLWjGNwxdr2uWiqMYtSM45Bb8WquWiqMaa5HkcUo93e6obMVLPOY0cRU06LE4+fltSGo/9qI3aW+Mn4CY2i7gaXKKVdf7+rEGp2uf5eQNwwE5hLZoCsxNnz8Yud5XfSVIGzWp3wJWFagbWIFIgOws+r6jfip3eLyFpV3Skia5lgXj9V/RjwMYDlstpu1xhzDJp1DJ78mJV2DBpzDJp1DLat22DHoDELzzOAOwf6egZb3ZCZmNfnsfoY6/TsWAIaNALp7GTXUWCtmUAaNB3ZhNFzjWXJzHutmoqkhdyc2BoH9qkMdi42nqqreHZlO/UvFpN15Z8ysJboVtYngHtV9T9SL30beBXQF3/91oxaaYwZlx2DxrSWHYPGLF3dvf0rgCcD72l1W2aiqecxYXrlj6crVfVbcpOZ5cNV8VOBtAPqpTPSgvqNdUM3G0iHHtnAOpXBRkAl2w09s2567HfSmGyENVXF6MneaxaQSW6iTCdj/WTgFcBdInJH/Nw7iA7Ar4jIa4DNwO/MrJXGmAnYMWhMa9kxaMzS9SyiTsbfa3VDZqip57FmdgWv97gWBSdg7JRaaUHqJQc0HWi7cfBc366rqNt4XYK4+3h9fU8a34coOKlu5vXlTEPz81yn+5GPUyxt0uDZuoYvWDPJWKvqtUz803/msbXIGDNddgwa01p2DBqzpL2MqHv0Da1uyEw0/TzWxIx10rVWQfxs1lqCbHyaCeglFyi72a7foSu5QBq0HiyLRkF4agB3+r0qcUY79VmZQmm58ddjs9ljv89pvWbmvxlmrI0xxhhjjFlSunv7TwKeB7x3oK/Hn2r9pWKCaaGPmTRi3Wj+6iC17Gs28Zv74Ezg7GSDY8eDMB0sB+mYSJACma7gYb5reCrbrZC5mTB+1/Dc62O+0XGeMwvPTDLWxhhjjDHGLEGvJLpW/mSrGzKvSK4o2EylE78BOL4mz7uVVGJYwQlyc2jlgtlJM9jpjDUQpgJrlXzX8Ny28t+zkOkKns9gjwmsjyajbea1fB2ANAusjTHGGGOMSenu7S8BfwZcPdDXc1+r2zPvNLH4lhIHtPWMdZi8gOODxFNmSbycLsuc7SaumWA3HBNYC5ouZuaTCaRDT3KBdnrbYwPrMd3Sc2OuM3LLzZ6uzMwhC6yNMcYYY4yZtj8A1gGvbnE75p+mZ6yjQmFJhjiOfSWMstdOvWt4qLhlRbSR0ZZg4gBfU8XIAMKCZDPWmTHXEHraCI4lfj3TNTy37GQD6XyGe86CawvS55RlrI0xxhhjjJmG7t7+IvB24Hrgxy1uzrykTSxeJpoKMjXb9TvKYMcZ6zjQrmesJdBGt3GIAu5U0KNuLrCuSnbctNcItNWpZ6w1XpZMhXF14um7Usvp7DdONlAes3/yGe34uWmxwHlemayzhgXWxhhjjDHGNPwZsAH4w4G+HptwOE8At4ldwTWqwK1uVHxM6xlq4iAmyWArTjVMMtbiK245PXF1iPgTpxPVcbIFyApuNoNddFNdwYWw6KTeG2W8G8vjVBF3soH3ZFXEjznIpomZbnNMJJj4NQusjTHGGGOMAbp7+9cC7wS+M9DX88NWt2feanJwF2WAyXapzsfuGmWlGxlsBb8RaBOGSC0V9YSN7DaAuE624FgtAKcRPIsfJnNXqwhOkA6shdDPLmcCa0cy03OpI9PIYI99brosuG4hy1gbY4wxxhgzpfcAReDPW92Q+UuzczzPfHOoC2FBCYqNwcniROOeJVN9u9G9WzREgiDp/i01H6lUG9v1Awhy6cV6oC2CuG4m0HYKXmrMtUCx0HibK2ihsb46gnqpQNt1st3Mndwc2qnXEBlT+CzzNb978tlt01LOJOP6LbA2xhhjjDFLXndv/zOAVwDvHujreajV7Vky4ix1fXqsTCVvV3DiFKGG9cxvKvhNU4Ug1RXc91Hfz76e+VyJovf6Yhg2gngRCMIk0BbHyRRKU89Bg3xgnV6WbHbcG//mQLRMkinPPFdvVz5FaoF2a1nG2hhjjDHGmPF19/Z3AB8HHgLe1eLmzG8COM3NWIdFBYSg1AisJYznsfajQNL1BK/sJl3BEXAqXqOYWRhmAlRVhVRgrTU/k8HWdDdxEdRNRfSOgxQLjSDWdZFCI4Mtnot6qfVdF1LL6jnRmO46z8l2DU8F4ePOiZ2WD6SbWDjOHL3k928cFlgbY4wxcyWewqVpm1MoHBHc6tTrGtNqkxX9mQf+HjgNePpAX89IqxuzpMSBurrR3NFhvSt4EBUME6cRSAdFQcI40AzBLbjJGGutBUh6zLQIKun+2JoJpjNBdvx65r3xVwAcP5OolCBAtBFoE2a3Lepmbz5oao5tJz//NtmMdS6jHQ0uT5c3J8PGW88fFlgbY4wxc0Rdpba6edGF+MIpP6xSuHtz07ZpzGzZcqjc6iaMq7u3/2LgL4CPD/T1/KzFzVkYml28rKDggB82bsBEU201AmmnBhI4yTzCXkmQsBHcep6TCWwckWwzgwDCRlQahhr1L69LZ7dFED8VTLsuUkt1Ky940RjumHgu4nnZ19NZ6dDLjhX3GoXUhOwYbBEZm8F2Jtnhc9k13IL4+dMVXJd14D/+kqZtT1Qp7B3BGZmfJ2pj0mRbsdVNoCABa4uHmra9mrp8e+eF7Bnqato2jZkth6o3t7oJkWZO3qMwuKFEl3RT3HkkW7jHmPnmiDv1OnOsu7ffI+oCvgd4W4ubs3RJPWMtyfzQEghhkSSQVgeCtsYyInjtqQx14OJUU921/TDqHg5Rxtj3k7hQVZEgTNK9GioQZrLWGqYz2NkK44QKYSrjHUqjOjlEAXw6GA7CbKCdH++dGXStY4PldPfjyYLs8VgwPGfmNLBe372Xf/nER5q2vcGwjddc/yq8zauatk1jZkvlw4WpV5plx7lVXrW8eZmt3UGF//nC81j7nYebtk1jZsvAPn/qlWaZ+EJxf/OCi9CDp73lep6+7F7e8MNX0bHVOqKZ+av6ydb/HRzHG4GLgd8d6Os51OK2LAgntHfyric+q2nbqwQ+A0MHGQ1qEEjm5qNUGxlqCcEtS9IV2gnAG2ms7FbBG21koL3RAKk0gl+nXIV61lmBaiUJWFU1KnSWjnfT2WxxkHRA6zjR9F3Jh+cy1K6bDYBzy5kx1uMsZ7uGT1EZ3IqZzZkDB4a46c6JX5/Tv8CdIlxSal7WrqIVLtq4lbuLa6nsa8ep2Gh+M3+NmcOwBRyEkjTvwmaZ1Bg8Dbou3UjHjY8Q7NvftG0b02yqrQ+sIZVtadK2dpaXs6XtOFatP8zhZR0AhL5DYVcRp9a8zzJmpubD38G07t7+E4B/AL4LfLXFzVkwHBE6Cs27lji+vYP1y5ezc2SQhw/tZzSIz9UhaCGEsJ5VlkxlbmpCUEoHlYqE6axwNtDRXHdsaFQRF42m9dJUV/H650YrZLtni+NMI6Cd4vX61F25bUdV0mXcdcfd9DgfY1N0zQ51J/+5L+hb2yUp8JlTv8vOU6o894Y/xt/R0eomGbOkrHI7+Pkr/43bfnc17/nTV1L8vgXWxswlx4cbfvYYftF+Hu+88ms8v3MLAHfVOnj1915Hcf88i2SMmV/eBnQAbx3o62nmII1FbffwEH/x0+81bXudhQKPO2UtF5xwEsd1tXHvoV3cvHcLg7UKQeAkWWQNBR31kmWpOhSGGhlub0QoDDW2WxhUisONH2vxSIA32gjavcEKUq1nsBUZKTem61JFq7Vs1jrdfVskykLXFz0P0lXAC162anjBa4yjltyc2JIdc60CuNIIjvMZa8kVLHNk6krik7DiZ0dnsv21oANrgA6nyImEXLhuOw+1Hw9A1fcY2dGF1Ow3xZjZtsbtZFNxP9uf5rFqzRMBKIyELP/RfQSHDre4dcYsfk4NEOGHBzZxOOgEYJ/fxYr1hxk9IcoqVcsFCltL870qszFzpru3fy3wp8DnB/p67m11e5ay4VqNq3c8wu0Ht/CEk9ax6bi1POa4NdxzMAqwh/wKAGEo+NAYF+0pfmrSa3WzAaiKZObEBpewEL9eD8796BwpQYgbz10dva6I52bHNoe57kbp4NVzM4G15oqXZabfcuLldOBcSK3rSPSobz5ebnxfjMlYj8lQTxICzbeeIwvNZPtvwQfWAF1OG5899fsE3dEv/701ePGRN8DBeTmWx5hFZ73Xxc2v+A9q8Z3drw2exbceehrcYYG1MXPBqcLNPz2Xm+RcAGqrAj736x/lomKUjfnOyAm8Y/fv4Y22spXGzCt/ChSIuoKboyJI0LzklYqCwEhQ4foD93Hv0MNctLqbC49fy0Vrjue+w9u54+CjDPk1/I5GVFP1PSqdhWRYdK3s4S9rRNL+kEN1JK68rVDrFLxyI7AudTq41foc2ErxSCGZo1h8xRmpNQqShSFSy92ZTAfduS7C+XmsteRmAumw6CbBr4pEAX86g+02ptxSJ9s1XB2ytc7Gmwd7gh/PMWWnLU+ZMaabfsqiCKwh6hZe/8Gf7A7x2NO2sGdkGQBHyiWGtixv6knAGJO1wmlP/n9x+wDvfdEL6HjykwBo3x+y4pt3EJatgr8xs0WCxvWPO+Lw33uexintBwDYX+1ixTn78YPoonPwSDuFzaXMXKrGLDHPAX4x0NfzUKsbsuDEBbSbRaTRndsVZTQsc92++7jr8KNcdsJ6Lli9jk2rTuT+I9v45aEBRoNo9oNaWGPEbQS7o16BqldI2lhzPcJ6JlhBxSFoawTaAE7cu1XCKGBy/HpFcsUrOElgLb7iVINGd3DVsfsgPbzbdTIFyMKCm7yuIoSeJK+rEy+nAunQy3b9Dt1JAmtnbFfxtLHdxJmUdQ2fwmLuCj6etV4XXz39B8nyVaPtvGHXq5BR+00xZi48vlTgl3/wgWT5L3c+iYevPo5w564WtsqYpcMbFq770Saui5er66pc/cz3s9aNboC97+BZfHzbs5H5Uc/NmDnV3dt/PHAR8LetbsuCFTb5mjqO5jw3pOhFJyafGncP3s7W0V/xmBVncvFx67jkuBN4ZGiA+wcfZjSsUu1oZKiHayWGao0iyYdH2imXG71Xy11FnHIj0PbbHZx4hkKpL9fn0PahOOQ0AnBfcVMVxyXQJAhPnktP1eVIJtgdk5H2pNGlWCDIvR56ZDLa6S7tUQY7u5wPtLO7ViYOBmf4Y1yKQbhOMrHHogysAVxp/FZt9A5y0XmPMuJHB9uOI8sZHljR3LlEjTEZ6erjT1t+Pz/445fhjZwGwIpHQ5Z95ebMHJDGmOZKVx+XIY+/2f5cVhaivuAHqp2ccPHu5PWdu1dS3Fya6yYa0yqXx19/0tJWLGDNnN0AicZPhyqZ3tUAngTUGOKOw7fz8PB9XLLqVM5feQqPWbGOgeFHeGDoQaphFB13FSp01hrnsaIbMFRsLB8WxW+PoiINhaoUcKpxZBhGAWg6sFbPaUzt5UOh6CQZaycAp5qa5zrUsXFFOth1s4F06KXGUIsQeo0gNcpgp97rxMHcdLuGpwPrfKGzXLvgKIPjJRhI5y3q4mXTcW6xg2+ccVWy/NFD6/iXLc+zruHGzJEXdR3hRa9pzGH/1Lt+C+ebBcKyBdbGzIXiQYebrnpMckHgnjvILZd9kg4nuuH8um1P5OrNj21dA42ZW5VWN2BBU5pbCFGIAttxsuBtro9Xj3Y5xJbha9hf6eS0zk1csGIDF644kR2j97N95D5GQ59y2Lipf6jWwRG/EVjvbl+eZLSD0OFAWyeBH0WhGjiUS4Xk+3L8aCqvRpdx8IdB4pOoUyMZnx2tn7vZoJq8tz4GuhFIQ5gOlEUIC2RfT5WJygfaOPH7U8uZDHZujPV4xc7SpgysLVzKWPTFy47Wxe0DXHbJA/jxnrlnz0mMbl7W4lYZs3S8cP3tfPjvn5P8AVtzW0jn125sbaOMWQLqF3qj+zr4g81X4sVXguXAo/vyLcl69w+spbTNCoCaRWtb/HV9S1uxgEkTu4KrAIGggeAHLjWnPuA6wFcHJ+liHVBwAvzwMA8M/oK95XbOWXY2Z3SexWkdp7K7fC+7Rn9FoFEGe4U3wlDQlnxOu1tjsBYthwieEzJai0KhMHQ47HQQxoF2UBPU8TIZ67DQGAvu1MgUg3T8eIaG9P5JZ7BzuysbWIPmMtaazli72UBa3XG6gk/QNTwKqjUbPI/z/0mDawussyywznp8qcAXTv1psvyXHRfxjc1PaGGLjFla3rxqgDe/opHBPu3k13Dm11rYIGOWmNIelzt+fHayvOYJu7jm/P9Nlq+kh4Ftp7SiacbMha3x1/Na2oqFqunFy4BQ0MAhCB38oBG5RN3DJfl/QQIK8V150WEOjDzCaHUFa9ov4ayuszmrcyMHK3dysPJLKuFhqqkBscd7KxkJ44y1OizzKgzHw0R9ddhSWEXVj9av+h7DhfbG91lzogJk9Zi/CkGpEXG6VZLx2hCNyc5msLPfczb4lTFdvcNcYJ0JpN3sOF91dczrk465dnKNyWe3J3jNRCxjPYWeFXdy5MmNO1o/33I6la1dLWyRMUvL7z32Jr7w4Scly+t/qLR/66YWtsiYpWXrtuN4bvG5yXKHV+Wxz7wfiC5mb77nNEq77JLBLA4DfT2Hunv7fwj8eXdv/0cH+nqssuZRiJOgzd1mIKgv1GqNiDEIQ0b8Ir7T6HdeDgsEcR2lggQ4ElIJDrJ16EcMFbpY334hJ3dcxEnt53G4fAdHKnegRBFvp1OhXA+sEdqcWhJol8MCnoRU49TwiF9kuxMmQX2l4lFzS0mAHFQcvGLqBkBZcFIDDBxfcNLFIcOJ91k0vVZq2SGbsRbGZrA9zSynA+IosK5P1D3eGOxUQ8abmmtMV/Gj+GEvhUB8kv1hfyWBK9pDrlh/fbL8O9UObt16ZgtbZMzS8q41d/Gu37orWT7r8Bs49VstbJAxS0xpe4FHtm9Mli/9tXv5XPfPAKhpwCX7Xk5118rWNM6Y2fFG4C7gX4FXtLgtC08zA2sFAoFACPxGhBm6wqhfSKaaciSkEnqEcfXsNida140bo8EeKqP/S1Bdw7LSZZzccQnr2s9jtHIzo9XbWemUk0A5QDKBdlkLFCSgEqeKR8Iijih+GAXPQ9US+xxF4/fXKh41rxFGhQUHp5jKYJezgbXjk91n+f2X68odTaHVeC2bwdZcxjobLKe7lSMabTvJjuvYrsz5QHGS8djjrr/ULPXiZUfrD066llOv2A9Ed+q/ed+FhLvbpniXMaZZrnz2LXxn/cXRQiic+hnwfnJraxtlzBJy3QOn89TBVcnyeSfsZvVzHgVgyC9y7W3nUtw/SX84Y+a5gb6eB7p7+/8V+Ovu3v7vD/T1fL7VbVowtPlVwR0fQhGCqoPG2w5ch6FKiaoXRZG10OVAtTMpZhbgsMrrxI37a7sSUmWEarCPkZHvsKq6mtVtl7Gi/XKWlS6hWr2ZavUOoEYItMlBanG/3ioOBfGpxanh4bBEQQJqcQR7uNZOwQ2SwPpIucSg1558C37RIyynbgoUnMyYa7cijX1W338TxafjZbDTgbOTy1A7ua7gjubm1NZsMOiMs5z67HTgLGOy2dMIqhd71tq6gh+dKzsqXNlxBwCBhly/51R27kkF1kv8Ro0xs+0DJ9/MB06+GYCK1rjsljdx4jXR6UpDtWm6jJllxS1F9mw5CYgu4p7+/Af4f8dHvUr2h6M88eHT0YONv4tNvcg2Zu78M/BU4HPdvf0bgXcP9PXYVd50NHsvhYIEoDUnySpLGFKuecmY6yB0GPRLSdFFVzTpyg3QGVaSQBjAD3ZTHf1f/MpJlNqezPK2p+GUHk9QvYVq7Q7apEqg9SAdYF/y/uGwRKiSBNoHvE5qqQpi+7zOTPOHnBI1p9GWUEArqQhTUpXUFZyaZGPUXKGzyeapHtN9W8gGe7lAfEwg7WYDackE1tl1JbccPcf0LcrstnUFP2auOLzt9O9z77p1AAwGbXzhl49D9heneKcxphk8XC59xZ3c8MyzACiPFjn9vQF6811TvNMY0xQKn73zCfzfyk0AuI7yjDMf4MRNRwDYWV7Bz67fRGFwsacpzGIz0Ncz0t3b/yzgE8A/AWd29/a/bqCvpzrFW00zaTQvdIggVQcN4q7djjBaKOI4USBd9V32Frpw4mCtHHi0O9VkuaZuUtgMAO8QroxCsBuGv8HqwsksK12O1/ZU3OKllKq3ENbuAnxCQlwq1JPMZR3FlZAgjnAPFTooSEAYR5l7istocxt9vfcWOzlcbGSwR7wSYdFNvj913UbXcI0y0ukMtjPZFMDjBaf5oDy3XJ8WbNzx0ZmgXDPBdD6QlnwGO7+pqQLnRRhYT3ZjwQLraXhB5wgv6HwQgMPhKN9adj7DhxrTkNh82MbMHlccPr7hF7DhFwA8Whvi5f/7Fpbf1ciWhZUK6OI7eRszH4hCcaDECNF8sEEJLnvBNbx8eVRY+d5qyE86ziUc9ZL1mzrHrTGzaKCvp9Ld2/8K4CHgncAZ3b39rx3o67m3xU2b15odL2kYJ2L91DRVjhBWXTQeY61h1DXcdRpdZA4VO5LAuuT4HHI7ktc6nQqdUos3pdT87dTCryPuOrziEym2PR2n9ASo3UpQ/SWOUyGMu5XXNKTmDhHEoWRnWKFcLBDSKJxWSQ18DmlULwcIAodqPROsEIZC6EiyLKEkXd5FIURzGexJYgtlbIQ7wc9DVOLLo0Yxs7Er5RZzgXdmsR6Ij7eZaYZDUwbjC9i0A2sRcYFbgO2q+jwRORX4EnAccCvwClVd9Hf4OqRI3/nfYPs5qwHYWV3Jp256Ms6QO8U7jZkZOwYjJ7pFLnzbndz72hMB2HFgBaf/zRDBg4+0uGVmsbNjMOLU4J9uei7/1hFdsBYLPi99/I2sKUYZ7DsHN3Dt1ZtwK5NtxZj5I+7+/Xfdvf0PAh8Cftnd2/8h4O8H+noOtbRxTTZfz2NSr5pdFbQeoTlK4LioRNfYoRdy2GlLAriRUgFHFCcOGof9YqYreFkLlAuNRFjo7aesNQg2Q3Uzxxc30l56ClK8HAoX0la9Fa3dA0RTep1IYzcMyggU9yTLy5xyJjve7tbo8KL1QxVcUYaLxWR5SCCsNjLYgaQScyG4Io38gIIEjUBbhUzgPGbojS/EhdLjeatzU0KJNqJeIer3nlQNl7FTc2k6Qy1J1jtZLR30TxEkL+YgejxHk7F+E3AvsDxefg/wXlX9koh8FHgN8JGJ3rxYFMSlp6MM7ADg4doDfK7z8QTV+Dc4jO+2GdN8dgwCHU6R/1x3A0SjM/j+SIl/W/8yivuiQkvq+4RDQ5bBNrPBjkGii7ri5hIaZ7AHVyhXbLqXJ7RFgfWPCge4uuO85MpOlEwRH2Pmq4G+ns/H03C9i+h4f1l3b/9fA58c6OtZLP0w5ud5LO7OLAGNCC6MuobXi2upOvhVLxOsDRZLyf9FlE6vEQx3OFXapHHyWemMJNltF6Xib0GCLyHuKRSKT6JQejpO8XFQvRlqv6IjHRQ6NVZrOekKHnhHGE6N7x4Ji1RTGeyhWimJhUMVypUC9ThaQwirTmNcdACaytRLPE94Zth1akHJBdcOjey3MHaO8bARPGu9q3cq0E6Px5Zct3JNrRolvmXCYFlT8ftSNa3AWkTWAz1E40/+QkQEeAbwe/Eqnwb+jiVwQZG33ivx4cd/nkNh1PXkjuGNfPH6y3AqVi3VNI8dgxN7QukgF/7bHewsrwDgpoEzOOvN2wj27m1xy8xiYsfgxLxh4XU/fyVuMbqa6+ws8+fP+D4r3GEAvrv/Am7/2dnWPdwsCAN9PXuB13X39n8U+ADwMeD13b39fw98Z6CvZ8GW6pvP5zEJ44jMT3U9FqLsaNyFWh0lUC9JmFY9j/2BkwR6I9UClaAR2gz7RY60NYaNlbXACV50A9BFKRf2scypQfAobvUR1hRPo1h6Ek7pqVC4iGL1FtS/FwjpAI5za9SjzoIMQ6rcUlECOpxson9fISpwFqqgKoxWC8nycChoXJSNQAi0UTVcAnDCRoQqIVFwXF/Ox7WqjYBWQFUySeUw1XVcRNBCusK4ZtLb6mhURby+OUfR9Gc7iqSj51xX8XzjJuvRHrVn8tcXmulmrN8HvA1YFi8fBxxS1fow/G0k+aMsEXkt8FqAU9YtviHdJSnw7I4acBiAdd4dfKnzUkInHmsWCFJdZL81phXehx2D41rldvDva29Llv952dlcc8qleMXoD5iWywT7D7SqeWbxeB9NOAa9FavGW2VBc3wobW1cYR45yeMJFz7Ehrgv+M7aKm7uOCsJrB1fcBZ9h3mz0A309dze3dv/VOAlwLuBbwH3xFN0fWGBFjh7H006j00VMB0NSWVqJcgGhY5oko3FEZxqIwgMNSSoprp+i3LEbWSwS25HMjUXwHKvnPzfJWSlO5yMoS4S0lF7hIL/KK57Km1tl1NseyZO+DjC6o24/j2UUqW3OyRguTTGu4y4IwyHjc9e6Y0kVcRDFQ4Wq8kNAD9wKRdCwnom3nHAdVLxrWSrfOenmc4H1qFknlQhE2hLkHq93k28HmjngvDks+pZapVG1XCJg+zUttJdxZMPT7eVyekim2ppyqtsEXkesEdVbxWRK472A1T1Y0R3+7j0wrbFtffGcWGxyqee8knKYXRR/51Dj+U7111sBc7MMbNj8Oj8/spbqX3SZSiI/sB97dZLOeeNI4Tl8hTvNGZ8zTwG29ZtWPTHYOGAx+/+6I+TKV2OX3OEf+n5AgWJrt3/c+vTGbj2lFY20Zhpicdef7G7t/9rwO8AfwX8D/CP3b397wU+PtDXM9jKNk7XfD6PqYATz+ssYTYYS2dLEQhS/QWcikuQGn5ZqzgcqjUC7UqtwOFKI2M94hc5rhT1pHFFKWuBZU50bVAQn9OLe2gTH/xtFKpfYG1xI22lJ+GWnoEWLsKt3kjg3wcoRRFWu41u5gGDOKk+2DV16YpvLoYINXUYqkXXJdUwmkKsFkRtDQKHciBJVlp9QUInVW9McINs8JruASSpfyHbnV4FxNPGuHXJ3bxwlDAdo7gaTWua2ng6g42jjfeKjq0a7uTvAshkiwuyavhkIw2nk756MvACEXku0EY0JuP9wEoR8eK7XOuB7TNv6sLX5bTx1DYgLth/KHyA/1t2AVr/pa05OGXrJm6Oih2DR2Gt18U7T7gnWd563ioOn30q7micXDg8SLB7zwTvNmZcdgweBacKpZ2Ny4uDpU5OL+ylI55rZmPXAR5YsSF53R0V3IWY+zNLxkBfTw34fHdv/xeAK4kC7H8H/qa7t/8jwEcG+nq2tbKN09Dc81gz80Wpol35qaMycZdE8z/Xn1QFrTjJcihO0mMUoOxqkiUW0cx0WI4oK73lVLwoEVaQgOO8oWRMdpvU6Kw9zKj/MAXvDNpLT6Kt7Urc8PHUKjfg+PdRSDW0TQI6nUYGe6U7QhCnnUN1WO41XquGAW3FGo4fVyB3XCpeoXETQZ1M8TEJGbM8Zv9lY+Ek+K0H3fX9UC9ulghzY6ZzGedo/HW6uhnJmHeQsXNs56Xvi4hmg9J0Q6dhIXQbnzKwVtW3A28HiO9wvVVVXyYiXwV+m6iS4KuIusiYnF/v2MXpV3wk6WrygZ3P4vobz2lxq8xCYsfgzPzLhm/zf188N6kU+qHvXcnpb7XA2kyfHYMzI1vb+K0fvDFZ7j59N596/kdx4+zOW+9/MQdvXtOq5hkzbXEG+3vA97p7+59AFGC/Hfir7t7+bwIfBn4WrzevzOvzWK4rsqQD7RzXJ4mw1IkKI9azsWFVCSuNjQU1YWi0EepUqx77StG4ZxGlHBToigNezwkohwXa4kqLHU6F4eIeihJAbQ9t5a+yrrSB9rYn4rY9Bwkfj1O5jpr/ABAF1itTgXXZO5JsK1CHkbYig0GUPa+EHtXApRxEQf2oX8D3XcI4sPZrHkEqU6+O0xiDDoSqmTHYTpDbV7msPz6ZjLWmst3qaNxVPF4W0FR0qK5kM9Zuqut3PUhPd0N3ssvpLu1K7jWmCJbz47UnWXVOTXIzYCYDLv8K+JKIvAu4HfjEDLa1aK1w2rmkMeSCi5dv4brVpyU/FC27OKOWwTbHxI7BaTjF6+JPVm5Nlj9z1kHkksckVTPdXfvxd+5qUevMAmfH4DS4VXD3NLpn7j+pgzap4caXSSd0DLPr+OhKT1RwhxybqsvMewN9PTcCL+zu7T8VeD3wh8CLiMZhfwj43ALpJn7057F81rOJ8lWp88tRljP+fyq+S/6XTq5WUp2zBWoVD42vv0WUQ6V2qoXo3OQ5IXuKy5ICZB1ukZXuSDKlVqdToa36KE7tEdoKZ7Oi9HjaO55PMdhHuXI91B5Ipv2CKOMdxHNgheLQ5TaGo7U5Lh1eLalQ7ohSKvgE9dhAhcBzGwGcp6iT+i6nyBLnM9rqjIlRG+/PVfkWh6TyefQ62SrhSjK1V1JRPNU2wlxpcCX74blIekyMOkn2fCEQncMpaS69sE1v+sGGqVdcxA6Ho+wOwuTgecujv839d9hYs6Vgx7+/j8qWrS09S9gxCI/WhrizehJB3K/qbz/9cjb803UtbpWZCzfqjzmiB1p6DLat26CnvOHPW9mElguKEHQ2rvwuvegh3rn+OwDU1OH3bn0N4T3LJnq7WcC2fOS9lLe39u/gbOnu7W8nKnT2p8DFwCDwKeBDA309D7SwaU3Xtn6Drv/T5p7HnFpUFVv8bGCYz8amX8t3a1YXwsY9PMIihMXGm/3OEE0te8ureIUocHbdkLUrjlByoyErHV6VMzr3UoiLn3W5ZU4r7sWNG9AhVda3rWNF2xPwnNX44R7K5V9Q9R8GYES9zJza2/1VyfRcNfV4uLyGkXh5NCjwyODx+GF0XTJaK3DgcGdyE8CvuMhQIxfqlB1ScTpuVRC/sez4jL05kd5n6SyyEz+SMdcQZjLWSurbQN3s9FzRcuN1XM3+TNJjrscLoqfZjfyozeLY7V3/8EEqA9vGbd3iKxE8z61w2lmR+gU8f+UOHjgx7gKnQnCkYGOwjZlFpxa6OLUwlCz/5dllwqddFC2EUHxwB/6u3S1qnTGLn1sFN1XZd9fwcnYFXUDUZXJ11wjb18ZjIUPwDno2BtvMewN9PaPA/3T39n8KeAJRgP164I3dvf3fIxrPfNVCnq5rVkluLO94Jht/HXPy2e3UNh3PSQpzqUQBa737teMog20lRp2oe3al4LG/2Ikbf0jNc9nvjiZDWAJ3hH3VR9lXHaCzcBYntF/Kss7fpBbsYah8HdQ246TuArSlpkKoaUCXW0mCdpeQTq+KH0eoqoJXCJLAOgyFsKDJ966uol6973ackU7vunRWH8buM02Nwc5l/VWzBcnDMRuDMWXE04E7Qr5qeONt+UBaxvbvzk/YnVt92lqU7bbAusXeccL1vPG4a4GoZ+rv3P1q9t5/fGsbZcwS8rMrPsDWy6N56Gvq8Zb3vI7jP2aBtTFzZeftJ/HaX/1RtCDwm0+9iTed9xkADgQFXnjNG3A3lybZgjHzRzy++gbghu7e/rcCrwPeAHwfuL+7t/+DwKcH+nqGJtnM/NfkuKWeSRVpZEDHC5zHdBVPZ7BT1bAhytxqNb0shF4joqwFBdSLNha4sDcQnHg8sesFVHwP14k+YFmxwlBQSrpvH18YYrAYVxyvHmRl+dusb9vAyrbH09b+YgrFHQxVrqfsDwDQKVXa4iriNfU4sXA4yWiPuCUqYYFa/I0PFtrww0bH8sFCieHU9xxKgXT4GzWpEWhLmB2nLiET3pAYN4OdylCLH42zTl73slno0JPM+0MX8r0Ikqm9kLEZ7NwNgUnj4aP9nZut2HqGVcHNLEpnsAMNOf+4nVy7PrpTH4ZCdX8bTsUy2MbMllO8Lk6Jz4Q1rXHw/JCu5z0eAAmUjlsGCPbubWELjVncogx2PLZQ4P7BE7lhWTSV7khYYtXqIQ7Wrxl9h8Kegs2DbRaEgb6eXcDfd/f29wEvBt4EfAj4p+7e/k8C/7EAqonPrVyCVGWc+ChJrzJhwNjYQOM94qcLWkezESRTTTlKUPQI48A6LAiD5RJOHFgHocOBQmcmC92ROxE55QF2lLewunQmJ7U/llWdv0XF38Xh8g0Q7kjqSgSEtDk1Ctrov93pVQjrGWp16CxUk7HOtcClXGhUHAuLLpqaZiysSTS2Od4HWmsEu0lHgEky2Jkkf24fOsCYLhapQFtyG4g6CTQKpY2ZXzuTwc59oIDkq5nlkuNpOlV37xZUO7PAeh5xxeG9635M7eSrADgUhvTc/HoqW7ta3DJjloaCuPziN/6dwRdEZ/KB2kre9Zbfp/1bFlgbMxdE4YEbuvlrpxuIxkf+5bP/j99eFg1Rvb/Wzst/8HpKe91JtmLM/DLQ11MBPtfd2/954DLgz4A3An/c3dv/X8C74yB84Wh2NjAuhKUiSXEsrQfO9Z7FYRycTRRMT5LNhnr2NbUcSLKsjsTL9cDa5XDgJJH4YNGnFjYSXavaRhnuaPSkObF0hLXFaHlrbR/bR7/NuvaNHNd+Ccs7X0yHv43D5Rsp+9soSsBKdzip9dLm1Kipl8wg1OVGQXY9sG73OjPfxxFHqUgxWQ7UQx0n2R8SQjxrWLQcpH5cOs5+CdIL+arhIOkx1l6jR4FKvA/TU4F5mllOuqwT/3jS+1+yRdnyGexJC5sxThA+V2apKriZBV1OYyL7klS5YO0O7vVOBMAPHEZ3dSHVRVn3w5h5Ya3Xxdr4/6udQ+x6ostxnZcB4JWVZT99gODgwdY10JhFLp0EkkC45uBZyfIBv4uVJx9heGV0AetXXbztJRw/vxVj5p+4m/j1wPXdvf1vB/4W+BPgj7p7+z8M/MtAX8/SvJNbz6pKJskMpOIYibuKp9+SjssUJF2UOZP5lkwXaZW4q3iYWi40uj1LIPhFN3mDHwqDxbakgrYjmnTtBig4QVJBHKJx0zr6KNtHt7CqdBYbOjexpuuFjNZ2cKB8I/i7k0JoRQJKTi3JWNfcCp2pea8rgUdnsRHEV2oevt+IUIOKS5jKWIdVcJIK42TPj/mh7Ll9psjYebLTUtlvIcpmS2ofIpJb1sZ47vobkm3lUum5ruCSD7Tzd3MmS7W3iAXW81iHU+TT3T8g2Bj9sjzkh/zmNX8M+4tTvNMY0wzHu53c/PL/oBL/5f3+8EY+/8rnwE0WWBszF5wa3HL1Odwi5wDgLwv56JWf5Elt0SxGPxldzV98+5U4vt1wNgvLQF/PAPCa7t7+dwP/D/gL4PXdvf0fAPrm81RducRwc9SD5tTUUKpE467ry3EF6+TDw3GKduUa2qijpRDkArew0c88+lxJXlePaMBwvByWlOHUfM+VcoGq3wijRvwiQ+2N6/NKm8dgIUqWba/tYnf5Yda1n8YJ7RdxfNeLWe5v4eDojZSDXSA+K93h5L1tYY2w1Ej7lnJ3Dh3RZOw3wJH69FxEhc/80E1uUEYZa0myzhLGGexUL4D0D9MJsz/ZfOX1MMxlqMNsVfAwbKyvQlKALVn2sl3DyWes06Nf88XOxmSwJ1yYvfHVU7DAep4rSSH55TjJHeax3VvZecJyAIYrRYa2LI8mdjfGzIoVTnvy/8e2beOfn9dF50VPBKB0SFnxf78kHBlpVfOMWfTS15TOqMMX913GLR17ANhTW8byMw9SC6KrxuHBNgpbSpNnXIyZRwb6eh4CXhkH2O8E3gG8qLu3/7cH+nrubm3r5lg9wxlf+Er8TyaDnQr0lNxUT0om0pb8lMKpQBuJu0DXs6khaC3VzVmj+g9JXKiCFtxkXG+NAkNe40TjOmFS2Ayg5AQEcZToElKQgOrIowyMbOHE9rM4peM8Tl72IoZr29gzeitu2OioUJAgM367y62wsjiaLJcDLznnhSqUSzUqqWJlWnUIU99XWJTkPKohOC6NCuMCbrrrN9mu4gKZwDsdlAPR56RfT8+xLYCfW06HLOPNx53LaGcz2NlAe9KbO/nM/ByxwHoBWeN28tXTf0AY/yr9olzg93e/BhmxsWbGzIULim3c+ZoPEMR/rP953yXcfkM34WYLrI2ZC94oXPejTVwXXzBVT6zxg2e9n1O9KDP00UOn8cHtz7XA2iw4A3099wIv6e7t/wjwJeCm7t7+1w309Xy2xU2bG/UAWuLsMuNkNMPsPNUija7c0RumGHOdW3bDXPY0VSlNnSijXQ/sQg9EneT1oOJQTiW2/JpLpdYIq4LQYbAt6r7toAQ4LIsnn97rb2Nf+T7Wtp/NCW0XsH7Ziyj7A+wfvYlyEN00XO01isYXxE+6jde35znZk9ygV0q+5aFQCCvxjgqjseNhHDxLEH1f9c1JAE7QuHshoU66Dx3NZZHT+ywe/57uuh8WGstClMFOdw0P0zc/0hnrfBAO2d+FZB0d+1y67bPBqoIvHq441M8pG7wjXHTuAIerUUZt71AnwwMrWlIFz5ilIt2L5IldD/K111xO4cgGAJZtC1n+tVtQ3wZ8GjNbMtmUYY9377yS1YWoG+XeaherL9ybjFXct38ZxQGbqsssHAN9PVd39/ZfDHwR+Ex3b/+TgTfFBdAWr1Qwlhk6m+r6HQW7jWUkm7EWjbuP10V9kTOfkQnNcjGdBOkIUnBqqaBQQcvZDajbCLR9x2NYSsnKB732pPiYg9Lu1qgUorDLJaTk1BgafpiHhzezruNMNnacw/rlL2awupndo7dS8w8kn1OQgC63TBh/s8u9USphI4QbKjXOcQpUKgX8uOiahkJQFcRvjB13qo3zqDgQ+o194QSSzPUNjC10lr9ZEaQCbZFsQCzR9uudCFSA9JRoThzU19vuZAMYdUgK2UXfC5n9L8lG0138WxsEWWC9gJ1e6OIbZ1yVLH/qyBr+YetvJQePMWZ29XSUufI1H06Wn//A89D+dnRw3g6NM2ZRKR4WrrtqU7KsZw5z8+X/lQzheMvOi/nO5ifMl7o2xkzLQF/Pzu7e/l8D/hHoBfYDf93aVuU0+1Iz3d9bGs+lx/iK5rp+h4CbXcxMUKtkBlWLZqeGyv/fSQduonH2NQ7c3Oz6UhNIVQkPAqGWuv4+pEI5zmALUTfmrnjMteeEeE405RbAwSOb2V++l5Paz2FN2yZOXX4qo7VH2DN6C5VgP51OJZuxlpCCk5p+S4UOr5r8vxa4yWcHgcOI7zSm5woEJ3CTSuDiC06Q+t58SPqRE90UyFQNzwXaTqrLtYqiqX2W6QJO9KNI7+LMePnoG8v8PMn/vHKzD2vqsxvTimXHdM81C6wXkfNL23j8xQ9SjcddPHTgeIYfXdHiVhmzuLmp26kvOPFO/uOvX5BMc3Hc3cqyL9/QopYZszSkg+bqwTbesPm5lNyo18hgrcQpT2pME/zw1jUUt1gBUDP/DfT1+MDbu3v7zySalmteFzSbqfrwaM1lJNVpdE1WZExwNWZu4/SyO8lrjM2+Zrancbfperd0Ba1KNlgczadPGx9Y8wqEceAtohwodFD2C1GznJBOt5qcp4qOT5tT4/DQgzw0PMD69rM4tfNMNi4/jcPVAXaP3kYQNDLYbVJjhdsYcz1SLCbju0MVhttKDLvRec4PHaqVQjJfd+g7BFUnCZCdGji1dNaYqChcvB9CJOr+Xf82c8XOMtOh1W+CpE7Kku6+7USxc7oXQCZOH3MDVNDUk7m4OdubIf9WWjLE2gLrxeSSUpEvnfqTZPmdex/D5x59SgtbZMzS8vqV23n9Kz+SLJ91zStZ9hUZ+9fcGDMrSntdbvvxOcny8kv2cdNFX02Wf9P7de7bclormmbMsfpX4EXAa4D3tbYpcyBXnCoTbKsi6Yxk8k/qPROVHVLiOZMn6eac62YufioIDKPPTzKkgWSjQpVGZlegJh5BLb4LIMohp53RUhRYO6KUXD+ZrqvoRsXK6sHxoP8Qhyt3sabtPNa0b+LMFd0MVx9kT/k2KsFBlrnlzNRetYKbVA4PVaiEHp2F6LOqoUfVd5NiZ7WaS6XmJFlprQmO76S620smQ+1I9uZl+maEpG5C1L/v1JcxQbY6EmWsU+PY8x0Q8tI/7xDNVIGvj8lPf+acXG3ZGOul6ZnLfsW2J65KxnjcuG0jla1dLW6VMUvHy869hU+/76nJ35V1Pwtp/+ZNrW2UMUvI3h0reUHXlTjxlZAjIZue/iAQXYDe/sBGSjsKrWyiMZMa6Ou5sbu3/x7gd1nkgXVS1Hu8buH1dZxGdSzJdSVWssGZk8tIa/IBkVA1G1zr2CynpDKiTrpLNJrZViadKlGAHwROslzzigS1KLgVV9lX6KQYl+MueT7tbg0vbkynV6Hg+OwdepD7hzdzWueZnNJxJt2FMzhUfZRdI7dRkMPJR3elAu0AYSQsMuxG4659dRj1C1TiqcGqRZcDvovGgXVYcfH9xsB214uKmzV2Yja4BW1UGIcou53eX6n9qUK2G7kqTmqfqTP25xXmI9P0sHdSVcIb86hltpcO6luR07DAehF7ahs89ZRrk+VXqvCLree1sEXGLC3vPOEe3vnie5LlM4LXc/o3W9ceY5aa0k6PB3aemixvevqDfO30HwEQaMhlR17C4I7jWtU8Y6bU3dt/BnAu0NfqtsyZdLA0XuyajnbTY6jrz9XfO05X8HQ35Ew6VqOgMFM4LV0ocUx1bHKRW77qmiB+46Wa5xLWM9iOcsRrw4un6yq4Ae1eI7AeLRQyGezq4L0cLN/Jie2bWNN2HuesPJXB6oPsGb2daniYTqdCWzwGLcChUijQ5Ua17mrqMhoUkm7o5cCjXPOSbupVz6VWS+WNHafRbmgMjE4vp77v/M2LMVXYyS6H6bsXKtl5yMllsL3s9lTS9zKiOzCZmD8b/2cKnzXTZF3MLbBeQn7vhBtZ/dTGtEDfffA8gp0dLWyRMUvL8664hW994tJoQaH7q1D8wS2tbZQxS8itD23k6eXfSJZPXbmfZc/eAUAl9PjFnWdR2mtTWJp55S1ADfhgqxsyq+JMdaoeVeP5mDLOuNqjCJ7CVJJZqQeFjSc0VSxr0vHXREG3kw5AM/NMRe2SoFGxWl2H0IvHaztQ8UpU3ShidQohe7wAN55Ca7BQyhQnW1EYBQ6zu/YAhcHNnNF1Bhs6zuC04lkcqDwUB9hHACgAK9zRZB7smrqMlgpJRfLRoEAl8AjiwHq4UOBw4Caxcui5+NoID9WBMdGvZCPYdCZf0oXQyAbXGmZ/XOpkf9qqY7PM6Zsjjk+2eF29Cvl4HyaMqSI+FyywXkKu7KhwZUd0ER9oyF0HT2ZgVyqwtmGgxsyq9629hfetjY7BmgZcfN8bOfmqdEnTYIJ3GmOaobS1yM6tJwPRxe7Fz72RfzkpOiaHtMKlA93ovvZkfasmblqpu7f/94A/AD470Nezs9XtmXWp4Dp5Ktc1PBOKCZniVmP7jee272ZX0ZBMNlbTY6xz/cpFc0Ei2W7ODiDxNFUq2bHKKqCeIF5j5VrRRb0oSgyqymChDScOrKtFl85CZ7LtQCUJlAGCobvYV76Lk9o3sabtHI4rnc6R6v3sGb2dWjhIh1MhiEPYUIVyoZBMz1VxPUbaivjxhOAlr0jV99D4pkDZKRD4jehVQocgEzhLNn4NJMpCx/soXfgsej+pBcb8tDJTnOV+fvl4XiXX1TzMrZMZjz92qMBcsMB6iXLF4S+6f8jta7oBKIcFvnjXpbDP5vs0Zi4UxOUpv3sbP7vsXACqVY/TPqjI9Xe2uGXGLA2i8L93P5Zrdp4RLYty+WkPs+bcqPDyvkoXP71xE8XDragta5ay7t7+EvAfwB8D1wLvaG2LWmycACv6TzawymdAx7w393KojUBNNApCk57hSqYa9mTZa8h1G483qKk5mnEgdOMMthNlsOvZ19BTym4JiedxrhQLUS/1uDGjbdk6EJXQoxYOs6t6H8XBzZyz7HTWtZ/FsuI57K88AKO3Uw2Hom2Lw2pvmFqc+i2HBSpthaT+0pFaG37oJIH1Ea/EEUh2cuB4qJNKAMQ3CdL7IJkjW8FFGzcklGje6gn2E5rLYKsSprL+DuNksNO91kn9LkQ7PTNnts5WVG3Fy8x4ejrK9HTcB8BQWKZ/+WM4fKARWOerJRpjmus/190A66LpuHb6Q/xW/1tZeVt8DIaK1qqTvNsYM1PFzSUGN0fHXFiES19wA3+44hEAHqnV+EnHuehQ41JJrFOJmWXdvf0bga8CjwP+HXj7QF9PrbWtmkPZwt2T5aPHLW6WTZdKIxBT4kissSxOqie4xvNYp17PzF2d61Ys5LKnMKaatqYy2E5VkDg+VQEtCKEbZ3oDQUfd+MZANCf2cLGYBNYA7V7jV6AgYVIFnCDkgcHb2Vu+k7Xt53N829kcVzqDQ5X72FO+g1o4kslgl5waFfWoxRlrTwJG/AJhKmKt+o1z3mgIYaqYWeC72THWviTBsWoUZNeLRdbHrU/YNby+X9P7NL1CkP3hZjLQEhcryy2PmfprjllgbQBolyJ/f9632XpmVMRlT205n7nliThH7FfEmLmw2i1x4Zvu5O5XrANg76Euzvj7UYJ7H2xxy4xZGsSHf7/5WfxnV1T0p+gF/PYlt3B8Icr8PDB8Ilf//Hy80cm2Ysyx6e7t7wL+DHgbUUjwooG+nm+0tlUtks8yp/47Xvfg9NsyY3DJjXtOby9OrGYCvdQY36jQViqDHdIIGGHs3FC5ruIEjXWSDHZ9TmcBHJLl0AXESZoaFh1GaUv2Q7VSSDLKABXfS7p2Q5TBHglH2F65l5KzmU3LTuPE9vNYXjqPA5X72DNyO75GNZaK4rDKG07e2xWUCNVJMtgdXjUT3B5wOhh2G8uBFNBCtg6FW81msOtzZkc3HhrzkE8rg53Zxdmfn0Pq5yvZryrjZ7BtjLVpCVccXtA5AkQH3hZ/iC92XoI/Wr+91ujqYYxpvpIU+K/118P6aPmaMvzdhj+kbftyADQICEdGxvaLMsY0hYRRBjsgymAf6VKueMy9PK3tEADXtm/hp+2PIaxPoZMvXmTMMeju7e8g6vL9V8DxwHeAPx/o63mopQ2bp6YsbpZe12mMewbAkWgcdf196QJl42Wo0xlQ8kF7al3GqceQC7SjwlvZDHZ9e+JCWGlUKBcVwkrjw3xxGS4Xk2XPDSi4jQi13a3hxeOzRwKf+4duYefoXaztOJ81bedxfOlMDlbuZc/onVTCcma8touysjCS6YI94jc+qxa4SaEzgJGak1k3rLiNdocQ1oT6/QNCUD91syKcOoOdDrSdIOoeXt9nhNk4JN3jQKbIYDeVdQU3R+tEt8QHLv0y+4No3ut7R0/m8zc8EWd0lmrXG2MyLiyOsumf72TbyEoA7tq2jrPesgt/567WNsyYJcItC2+89mW4xegCtqOjwhuu+BGr3Sjb8+MD53LL1edYcG2OSXdvfxvwWuDtwEnAVcDfDvT13NjShs0342SvxxQ3G7tK8tYxGeyJ3qDZJLSE2Z7j0XKqgnU+gy3kpqWaRgY7bovGRdXqy2EV4tHK8bLDaCqo9H2HSi0K4UQUP3QYTgfD6nLYrbC1cg+d7qNsWn46a9rOZ0XxMewt38f+8m34WgbAdUKOLwwm7+1wq3gSJF3Di65PyWuc5PY6IeVi9Fmqgk8RiW8CJFNL18dch/F3W/++p5HBzvwAU4XQot2rqTHUcnQZ7DligbUZV0kKXNlRAaIucbcWd/KFjscRxiX4JRSkOse/rcYsISucdj5w8s3J8oeP38C3N1yBV797W6kSHDzYquYZs+g5PhS3NC5Wj6wp8qQLHuTMQtQXfCQscWPH2YS16G+hE4BjZRHMFLp7+48D/gj4U2AdcDXwOwN9PT9vacMWgtz463FfTxmTwRaQTDCcWspXnHbGZqhDNxvopV/Pz7Y1VQZbgsZ4YlXQmmRn60plsBEhLKYy2J7HaH18tihDBT/JWAOsLDbqJVXCGvcN3sTOkV9ycseFHN/+GE5sP5MDlXvYM3onhNVMBjtUh+VeOfV+Dz90ktdGSo1u6aqCX2ncAFCFsOgmRdgkEMICSWDtBKC1xo/QGadmheQC68y49vSy6NFlsJtosm1aYG2m5exCyMef/GnKGlUm/Mnh8/jf6x5n3cONmSMv7LqX7f+1iiN+NBVQ/13nc84b7yUcHp7incaYZigccnn5T1+LxBe0q44b5B+e81XaJCoq9D87nsyDP++2KbrMuLp7+y8A3gi8HGgDfgK8CvjJQF+P/dZMVy6Dnd9xk2awnfxoqmw0nBlzPVUGO8hmsEPRbHHDKTLY6Z4uUYDeyGA7tXqgnl5ujGv2faFcawTaewOH4Uox/v6jytrLi1Fw7KAEOBx2qmyp3MVy72E2LT+d40sXsqK4iT3lezhQvoNAo0Sa64YUUt9IQQLa3Ubg7TkBh4vRdUiowm6gWo3apqFDjSIS32yM5vF2GpXX/XjH1Hse+OCkdoqksvrAmLnEJSD5+Y+Xwc5Ma53PZM8RC6zNtHQ5bTyzPaDeZ6OmD/CNrovQ+oHtC07FuokbM1vWel3884m/TJZHgwI7zjgFbzDKnungMMHeva1qnjGLnlOF0vbGtDcHnS4eU9zBCicKrH++bC/3LtuYXAg6FcG1DPaS1t3b7wLPB94EXAGMAp8BPjjQ13N3C5u2OMxGBlsaK0+awda46FjMUclE7dPJYCevhXEGO34yRHDSdeAlzmDXP8t1Mp/tl1zKTiH+FpShaiNj7Tkhw34pmeqrEla578gNdHi/Yl3Hhaxpv4CT289iX/lX7C3fTRj6lFIf3uFWkqm6AIYLpWSMdagOg6USItFnh6HgF72kKJsGQliUZD86IoRe7ntP3WCoz4Od7CLJ7rd0xjqZ0zqVwZZUBrs+XntWuoJbxto029Pb9/LlKz6ajMH4+J6n8bMbNs1OkQBjzBjvPPn7fOMLm5I/eB/58bM4888PQGjzARkzF9wdJX7rB29Mrvw2dO/jY8//eDIy8v899BvsufGkVjbRtEjc3fsPiIqSdQNbiIqT/fdAX8+BFjZt8Zkkgy351yEbOM8kg+3QKNJF1CtZnGwknQTmmvsKY6thpwPMUHPdxiWzvgRC4Ke6hodFyqU4pBPYq8LhQhsQjaEGaHOjYLkY978u+AFbynewynuQ81ecyeq2S1hRuoB95bvYX76LQOO7gi60paJfV0KWFaJseKiCIyHDtSiQ99VhF+D70XVJEMQZ7HqV8Jqg4iTfm1Ml08VAq9PPYOc7BESb0VTgLfme5M1jgbVpthVOO49v3BDj1uWb+enKsxsnqLKLU7YMtjGz5RSvizevGkiWv3n2hTgXnA1h9KfG2XMQf9fuFrXOmMXPrYK7p5HJ2X98ByudUQrxFfCajkG2rV7TWH/IsQz2Itfd238x0djplxJ1974GeAvw7YG+HitzN8fGrSCerhqde32yDLbkorTxMtiZqcGcVAY7zq5m4rFcNna8DHaqGZkMtuOSRPUaZ7NDqZcYh2rFSz7acZTBaomqG52r2lyfoWKJQnwTPtBR7jl8LZ3eCtZ3XMia9ks4qf1c9pbvZl+cwSb1fXY4VQK38URXoZIEw37ocqjYRs2NzoG+7zJa9ND6fNSOQ1hJ3f1QIUxn5vPfdz4yzgW041YUnyCD3UyTbdUCa9MUL1/+AFdc8UCy/Nebf5O7bju1hS0yZmn53Lmf4cYvbyCI/wL+45d+l43vtMDamLlSfXA5L975xuSqa9OmzXyj5wMABAivvuPV1O5a0cIWmtnQ3dtfBH6bKKB+ItG8pZ8GPjzQ13NXK9u25OQjnmPJYKfem8lgS65rcgipqaSjODedwSaXwc5Xw05/ZRoZ7HTQGAph5nWHoNoI4n0tUinEjXOV3YDnxZnqeJouL85cd3jx3b6a8sjoHZxUup/zlp3NcW2PZ0XpQvaXf8mhyl2EGkfAHnS59Yx1dL0xGhTiTUTBezmIPrsSeOwm6iIO4Nc8fIrJ9x1WBHVSGWyPTDcArYJTa+wkx59kn+V+rkkGezZYxtrMthVOOysaxVPZtGIHd51wcrIcDhVsqi5jZtGphS5OLTSqhP/dmSPokx+bLBcesam6jJlNbhXcA6mCQiOdHArbk+XjOkfYfGJntKCCd8i1DPYCFnf3/lPgDcCJwIPAm4FPD/T1HGpdy8xExmSw0+oZ7HRGW1JPhFFxrFScnctQZ5czQTq5DLYeXQY7P97b8clkkdNdqlWIZu2Jg151lWrVIwii5cBzGKyV8OIN+qHLkcJoknXeWx3mV4evodM7jvUdF3Ji++M4se089ozexb7yPRQzg6IDOpwqbrytWujSVahQdKN1ykGBI6USfhAF3CJQLrlJNe8Qh7Ca+kZDyYxmk4DGvONE/8/fgEjWzfcYYJyM9xywwNrMir88/iZe85Trk+VX3PtKdt67ZpJ3GGOa6ceXf4gHnxBlxwJ1+Kv3/RFrPmSBtTFzZd+da3jNfa+NFgR+/cl38ImzPwfAsHq88BdvgIfbWthCcyy6e/s3An8B/CHQAfQDHwSuGujrCSd7r5ljU2Wwxwm68hnsxvOa3Z5kp8eKps/KfXa9GnY8PjvbNXmSDHaugng+wBTNVSBPd6kWEHUIC9EG1IEaRYJ4NoOqp+wi6iIO0FaIgmAnjlhXFNsJ2hyo1Xhk9BbWt3Vw9rJzWNNxGavaHsv+8h0cqtyN1iegLjQy1fUMdn15NIgybvXpukZqRfaIJtN1VcsevjSycqHnoG4qY+2AmyrapgKOf2wZ7KaaacZaRFYC/w1sijf3B8D9wJeJijIMAL+jqgfH34JZalY47axInZAes3one0/uAqIbdrWDbTYG+yjYMWiO1ileF6d49TFUNQ6d57PyyscBUbeytju3EOze08omLih2DJqj5VbBrTaySI8MHsddK6NiZuWwwKoVw+zbEP8dDIXC3oLNgz2Pdff2nw+8jWj8tAKfB/51oK/nVy1t2FGw81jWVBnsfD9yzQXOmUA6l7FWp7FtzXczZ4IMdjqon6wOaZj97HS3cQSkFlcpj9vhVBw0Dqw1UCqVAk5c1ExVGKyVkoy1I8oRr3HDb2dliFrwM7q8E1jfcSFrO57Aie2b2DN6J/vK9+ESJhnrQBy6UlXECxKwvNBONS5h7ohypFhKzYMNlZKbfONhAGGqKFvo54q2+VHFdIhuLhxNBruZmjHG+v3A91X1t0WkSHSH7h3Aj1W1T0R6gV6iiofGjPHvJ/+U8tofATCiSs+tr2VkYHmLW7Wg2DFojpkrDtc97z848Nzoj9veoJO/fvtr6fqKBdZHwY5Bc8xE4ZGbTuGtt74CAPWU1z/rKl51YTSF3oBf5Hd/+MeUdltHwvkmDqjfDfQAw8AHgPcO9PVsbWnDjs3SPo8dZQY7X5wsk8FOVaCuv3nSDHa8DRibwY6WsxnsTLXyXAabXEApqplpq1BpjP8WgFRg7UFNitTridWKIbsBiT9gsFTCT83lNdpWJCg57K5VeHj0JrrbOzmj61xO7Hgyq9ou4kD5Ng5V7kMJCFQ4vjCYTMdVUy/+Gm1vOIgC+Prrh8rtHHAaGexKsUDNa5wD1XEJ6zMcarR/60XcRKM7H+kbEJkpysgF3c00k4y1iKwAngq8GkBVq0BVRH6DaE4+iIo0/IzFeiCaGety2uiK/1/RGuev2Um9okcQOJR3d0ZjQswYdgyaZljrdbE2/v/hcJg9lwpwGQBuJaTr2ocI9tssMOOxY9A0g1NtDIsMPeHmQ92sdocBGAzbWHnSIIPLokxRWHXxdhSzmSgzp7p7+1cD/0A0hvoQ8LfAfy7U6bLsPDa1o85g517PdwWvB+aicQa7nqCuZ7CTYmRERbtSGewxQf0UGez66irRuk69cU507ql3sdZQccpOsn0FKuVCElgDDBYb0/4UXZ9S6kS0XY4w5P+U5YUT2dDxWNZ2PJk1bRewe/RODlQeiDPYjaZ1uFWC+MMcUbq8SpJ19kOHkWIhWTcIhFoqYx3UGjtJUMJaY8OiIL4k+1xU0WCScepzZDq3Rk8F9gL/IyIXArcSTXR/oqrujNfZRVS4wZgplaTA/3T/kNrG6Cyx1Q95/i/+BN1TmuKdS5Ydg6apVjjt3PTSf6f8kuh27nXlk/noa16E8/MFeb04F+wYNE3l+HDHNWdxh3MWAH5HyPue81me1r4fgOvLK/mT7/w+zhG74TzXunv7PeC1wD8CK4D/BN65UAPqFDuP5c00g50plpXLYKcibyXuKZ4P9FIZ7KgneRxEhtkMtoRTZ7CT8dzJCuk2SyOQrgfY9VEooy6+FpP1/YrH7lTqvex7VINGuBgiVEKPPdVRHhm5jtM7Ojm9axNrO5/Cce0Xs3/0Fg5XH0AJKajPmkIjQ13WRhANsKLQjuc00sr7Cx0c9hrLo04Jv+Cm3uE2hsvUA26/vo+iGxPpfTZfA2sPuBh4o6reKCLvJ+omklBVFZFxmy8iryU6QXHKOuviZCIlKVCS6AA7yR3hgg3b2LpiFQDlmsfwtmWIbxcUMTsGTdOtcjuS/59f2smWZ7ex/MwnAlAcDFn+/XsIBwdb1bz5pmnHoBef54xJZ6Ndcfjf/Zdwf9cOAPbVlrH81ENUatE5uzxSpLClNHtdGw0A3b39lwKfAC4Afgq8aRFNmdW889jKpXEeyyWos2RsEJ7ZcU62K3K6avh4GexM0A7gNGbUdnIR/5iK4qS2Jblq2BoHn05j2alKZgC4U24MCA+BciqL7DohRbeRLm/zGv2tHZTt5UMcrP6EFYW1bOy6gJM7n8qJ7Y9l1+jtHKw8NCaDvSyeqgsgVGG4ONroOh64VP1GIO3XXGr1IF8hKDmoNMZYB1XBqfcKCMHxpTF1eKg4s3S+1EnCk+lcZW8DtqnqjfHy14gOxN0islZVd4rIWmDcwXqq+jHgYwCXXtjWgnsHZr5b5Xbw5dO/nyzfVBFevv+1yKAFgTE7Bs2sOqvQye2//37C+Jb3Bw5cyLV3bgILrOuadgy2rdtgx6AZw63AdT/exHVsAqB6vM+3fv2DnB1naz53ZAN9O37LpueaRd29/S8CPgfsI5qX+hsDfT2L6Xht2nmstH6RnscmGBNd/+94VcST1x2mncEmFVCP93mS6toNEIpEwXVqU9mq4KmXFEhPWVWfFyyXwa4vOzWJAv16YF11o7mmY4O+gx9P1SUCQehQbstmnpd7o+yrDfLo6LWc3bGM7q5NnNx5Bce1XcLB8s0crD4E6JgMdodTTYqmAbS7NUpe447jLkcZKjR6s47SRliN2xJGfe2TMdehZMaeSyhIOPfVy6aMXFR1l4hsFZGzVfV+4JnAPfHjVUBf/PVbTWmsWZIK0rhDdbI7xEVnbeZgJcqoHRjuYHDziiV7p96OQTMXOpzGH9IndD7EZ17+DEoHox6BHbtCVnztNrS2NK/q7Rg0cyFThGfE5b27nsWaUnRza1+li1Xn70uK/Ow/0EVhc4nxc4vmaHT39gvwVuBfgOuB3xjo69nb2lY1n53HZm7GGex0QJ2qWl3PYGe2latqHabSpEeVwWZsBtup5ZY9ybzRGU1V5haXipsKtFPZa0eUDq9KLW58QUK2lvezt/ojVhXXc0rn+azruoITgovYNXIb+6sDmQx2yamxwh1NtlcpeMm2QnUYTQXwqhLNx+1E8YKGQlCRpGu7hBpl4uPv2wmiquJz3R18uinBNwKfjysIPgL8PtHNlK+IyGuAzcDvzE4TzVJzaqGLr57+g2T568Or6N3+Eljaxc3sGDRz5pntAXe95kPJ8qsGfo1D3+8kOLg0A+uYHYNmzhQGheuu2pQsB6eVueGpH2KV0w7AO/deyFe3XN6SMYSLSXdvvwN8hKiL85eBVw/09ZQnf9eCZuexo5G+7Mwda8eUwc5XO8tlsJOvAmEucM5nsOs99jNjihnn/1NksJNhl/UvQTYYDQKXIGysMwhJd22RqKv4kB9llT0J8JyADqfKvtohBkZ/xtmdKzil4wLWdT2T44NDHCjfwqHqI9Qz2IVCo3GuhJlCaY6EtMddz0MVQoVyKQq2w9ChHEoUPMftlsBJxpo7NYluVs7COXJMt/2UaQXWqnoHcOk4Lz3zmFpkzBTc1JwG5xR3c+mFD1EOooNp4OAqhh9d0aqmtYQdg2aupXuRXHncXbzrL1+MW47+gK26P2TZV24cpx/b4mXHoJlr6Yvy8FCRN2/tod2NLjIP19pY+/idyetbdhxHcUsxvwkztT8iCqr7gL8e6OtZ1H3j7Dw2A/mq4LnF8WLszPRb42S0k+7ZuQw2CqRrdgGaXtbGxqPCaJrJQOcblw3ws4G3g6I1yXwD6kh6BdRpXJMHrke5HswLHPTaqRSjcNJzQjq8WnKeKjk+A7Kf7eWrOK54Cqd2bWJ91zM43r+YnaO3c6j6KMXUPGEdTpXAbXzWaKGAGzc+UGHULzDsxnNmhw61qkdYi9bXQPCrEt0YANRTnNnKWM9wjLUxLXVBsY2vnPbjZPk9+8/kYwPPtDv1xsyRVy7fxytf/ZFk+YKbXsryr7uob3MBGTMXivsdbvnRucly+4UHueXSLyQ3oV/S+Qzu2HJ2q5q3IHX39p9AND/1z4B3LLLx1GY2zCCDTSqQBtD0jWnNBYC5buBIkogF4ux1alshk2ewJx2DHWZXSDLWyTRW2Q/3xU2yxAgMSjuVUhROOo5Scv1knHTR8Sk5NUqOz8HafraO/phzOlexvvNCTul6JmuCAxwo38zh6gAAy9xRSrnJqLvcCgABDn7oJmOu/TAa+13Pnvu+S9UXiLPrYS3OYM/HjLUx88nlnffzqyesJYx/s2/fuY7ylmUtbpUxS8dLTruNT77n6ckfsLXXh3R848Yp3mWMaZZDu5fxu488O1kOVTjraY8my3c9tJ7S9sJ4bzUNfcAy4E8sqDZHbaoMdi4IH1NJOlUlHNEogK2vns9YB9nlkGzX8HRUrwqO5gunMXkGO13fAc1krFXAS21MXZDQSV7zPY8gnntaHGWf10FbIQqsC05Ih1elEEf57W6NguxjYPRHnFDayGld57Gh61kc5x9g18htHK5tyWSwl7ll3NQdgtFSIcmG19Rh1C9Q9qNQ1g9cDvouYT1jXXXwfZmV+kwWWJtF5cltDk/eeE2y/Drvifxoy4UtbJExS8s7jr+fd7z0/mT5tI7XceY3WtggY5aY0i6Pu3edmSyf9pTNfPfs7ybLl4++kH3bl850xEeru7e/k2h88YcG+nruaXV7zAI1VQZ7vPXSz6W6b6szSQZ7HJkMdubD4um7UoXRCHNNmCSDjYKbS5dnAnFHCFLr11wPrYVJswe9NsrxuGnPDWnzliXTdXV4VTq9Ci4hh/3d7Chv49yu41nb/lg2Lns2lWAPe0dvYbC2FchmsEMVakWXkTiDXVOXclBIholWA5eK7xLEFcxrBY+aPzsZa5yJN2qBtVnwXrT6FkpPadzh+uEj51Db3tnCFhmztLzoiTfxtY89Llne+E0offfm1jXImCXm3kdP5lnh85PlkzqPcOazo8LWlcDj+rvOpLTHnejtS9EGoljDutqY5phJBntMdjmXwZ4oMI+3FRJVwa4LtZGpTTLYE0ztBdkMNrlA26nl2uKQjGNGQL1oiq5oZaVWKOJ70Yc7nrLfC3DjCaXbCzWKjp+Mm17mlXGG9vDQ8A9Y03YqZ3Sey8ZlVzLs72XXyO3UatsaGWyBLrecBNq10GO0VKQSRqFsJXQp+wX8OJs+WvQ4HDrobFRNcC2wNovYsztqPLujcRH/3METuN8Ca2PmzL+edDv/+rzbk+XHDPwx67+Xu31ujJk1pW0Ftm5bnyyf+Zzb+c91NwAwEla5ePt6dG9X8rpN00V9Z21raSvM4jJJBnvC9SZ4bsoMdj34rc8/nXopk8HWo8xgh9llh+x4cNfJdq8OPUEK9TmuhHDERb0ouA1cZbBQwo0LjlV9l85CZzJ3dS10aXdrUQZ7aCd7ywOc0XkSazsupHvZlZT93ewt38xQbTsAy5wyQdwJPnSEinrUwiior4QeI+1FqnGgPVooUKkVZuXyw7GMtVlK/mTDT7hp9elAdNB+5Z5L0D2lKd5ljGmWp/3Wbfzo/AsACHyH0/5Lca69o7WNMmYJ+f4953HZ3ih2FFEev2Ezq08fAeBwrZ2rbz6P4sFJBgoufqvir0MtbYVZvHIZ7DHzTE+SwRay43glVEiPe57o8+qva+P9otEc0PU31TPYyfDuepA8UQY7H2iLImE2gx3WUhls10k+O/SUiltC4gxvpRjgOpoUWhsuFXFSUfpIcQRfd3H/0B5ObDuVs5adwyldPQzVdrN79FZquhO3fgtBYJU3TC0ul14LPSpthWQe7GG/RC1wM/N/N8tWZ+I0uAXWZtHp6SjT0/ErACpa46rt57B/XyOwno1CBsaYhv9cdwPE2bKDwQjP/slbOO7GxlRAWlvS82EbM+uKm0sc2nwCAKEHL37B7bxx1YMAbPNHeUbXWeiR+JjUJfl38ab46+XAra1siFnEjjGDnRsyHQeqqcrdSHZzcRY6WXQby0r0/yRYVsZ2j05XAc+9JmG2MY6fzWA7riTFz9QBd1TQOJAWT9CimywHvjBUKOHEgamq0O41MtiuaDKP9aHhHRyoPshpHRtY234Bpy3voexvY8/orQz7u4BsBrvmuIyExSSQLjk+I20FfG3+EBjPAmuzVHm4/O3Z3+GRU9cAcNDv5DO3XYZzyKqlGjMXupwSj339L7njRd0AHB5s5/R3Vwh/eV9rG2bMEiEBfOi2K/jU8icA0UXh88//JWsuGQTg0ZHjufraTXgjzc/szFcDfT2bu3v7HwKeBby/1e0xS8DRZLBzr+cz2NHdsNwbMtNvgaTWz3cF1/SY6TCeBzu9ndxUXZNlsN1qqoq4EM97HU955QKOk2Tjw6JDOVW0rdqWvRYf9QtJ126IptQqhzu4d2gXJ7efwdnLzmDjshcwWNvJjpHbcHUXBeKpvcTh+MJgMmNQh1slVIdwskmnj1EhPaA9xwJrs6i54vCCzhHoHABgTzDMV7oupjIU/+prqgiDMabpCuLy8Q2/iEoFAXdUKrzplDfS8Wg8RV4QEI6O2jhsY2aJKBQHSlSJem6NdCiXn/MAz+3YDcBtXW38pOM8nFp8QatRVmoJ+CHw6u7e/uMH+nr2tboxZgloYgZbwkz/7Kkz2PUVwijgTea7ZpzpoybqFs4EGex4zLEKOFVpdEN3QcuSvC4qaNlF4436eAwXG73ZXCek5DZOPu1uLckOHxnawuHKvWzs6GZtx/mcteJ5jNa2sqd8CyP+HtCQDqfRG64gAeVCYVa6gnuTdPGxwNosKSucIv920VfZ6y8H4KHyiXz+xstwRqxaqjFz4dRCyGPe+UsGhlYD8ODONZz19v34m7e2uGXGLA1uRei9/kX8TSm6gG1vq/Gay69hlTcMwPWHTuema87FWfwjNj4MvAH4S+CvWtwWs9TMdgbbabwU0giQ1akXJIu3peAwgwx20Hhd4g1qvS1O9GSSwa5ETyYxftVhVNuSTfk1l1rQ+Mb80GHYbwTeYbtwONjO3YO72NBxOucsO43uZb/Jkdp2dozcBsGuZF3XCTm+MMhs8MQy1sYAUJICPR1loAzAL9u28MXOS5MJ5SUUpGYZbGNmywqnPalWDPCZtcfzuXU9eCPRMUmtSnDocItaZ8ziJ0E0Bps4gz14XMhTL7iP8wpRYN0mNa5rPwc3f6HeBLOQPDpmA30993T39n8BeGN3b/97B/p6dk35JmOaqVkZbCE76lpSSxJlmdPLmaB8igy25AurjTNtV/q5TAY7BKcmyfvFg7AiqTcIYTEVSLseo4VGID1Y8DPjmVcWG/WSHhh6hCPVuzml43ROat/E2StewHBtgL2jtzIa7AP8TAa7mZxJflgWWJsl7QzP4WNP/AzDYXSw/nzwbL5+3eMtuDZmjlzZuZlfffhODtXaAbjq3nM5500PW3BtzBzxjji86md/iMRzz65cOcxfP/ubLHNHm/5Z7/jMgaZvc4b+HngJ8HfA61vbFLOk5auE51+eLIPt5EdTZaPhdMa6nsFO3hvGGez6cpDNYIeiZBK008hgp4uZUW5ksOt1xOrLThWE1JjqmsOo3/jsIHAYqRTj718JVVhejG7COygBDgf9rdw9uJNTOs7g7K7TOHX5Rg5Vt7Bz5Hbawj3MBgusjZlAh1Pkme0BEE1DUpR7+HrXxYSVWZiGZJJ574xZqta4nbznxDuS5Te7Ne7vPgvv4PKmf5bssKKFxuQ5tWge7LqDG4THnr+FE9zmZ3u6ZH71Lx/o63mwu7f/g8Cbu3v7PzPQ13Ndq9tkTL6b+LivpxxLBjtZ18llsDW/LJmofToZ7OS1MAqy65+uCprKYCPgVBobcx0IvEagXSt6lOvjs0UZqjYy1p4TMuyXCN3o/fcNPsRQ9Zesbz+LE9sfwzkrNzJSe5jdo7dRDpp8Q2+S3JsF1sakXN52mM8+9eNJ+f5met0HrTaKMVN56wk/4/OfPUw5bH4QfOdLKk3fpjGLjbe7yG9f9SeTXjweq11HPtD8jc7c3wIvAj7W3dt/8UBfz/yK/s3SNEkGW/Kvkwp2dYYZbCe7bXFAnGwkPWbu61wwnf7YdCHEaJqvxsqhL5n1HV+QzBjrAuVKI9DeEwqHi9GYbNcJCVXo8KLDtRhX6t5d24w3uIPTOs/grK5TOW35aQzVdhNojWZR/dWEr1lgbUxKl9PGk9umXu9YLLPe5cZMab3XxV8d9+CsbLvfK8/Kdo1ZTNwquLtm5/JwPg6zGujrGeru7f8T4NtEhcz+qcVNMmZS+Qx1JsMt08xgp+etTq08XgY7U2TNSWWw4+HSmXmxJZfFHieDnWoGTireDd2oqnidUxFCp9GYWrVxXnKcKIPth9HrRTdgqFiiEEYfcO/g/Ryu3Mm6jnNZUTgZpDF2e6Ymm8LLAmtjjDHGGLNkDfT1/F93b/9Xgf/X3dv/9YG+nvta3SZjEvk4rpkZbIkD7/R0XKno0EnNOx2/3LQMtoSamyNbcq87BNVGEO9rkUoxbpyj7AE8LwqkC270tRhvIMpkH2R37WHgYZrJHzM/WYMF1sYYY4wxZql7I/BrwH939/Y/daCvZ+LJao2ZR8ZksNOmyGArgkgmzs5lqLPL4mSDehVp1BDSXAXyeIMTZbDRbAbb8SE9EtOpklRt03g8dhivoI5SrRQI4q7jgecwWC1RdKLQ1g9djhRGccYMAp+5wAJrY4wxxhhjxjfQ17O7u7f/z4FPAa8DPtLaFhkzgaky2ONE2WMy2MkLmt1eqps4xMXHMq/TmLe6Pkd2mB0QLvnM9QQZbAnibuT1oF5zFchDIax3FRcQdQjL8Q0BB3wVgng2g6obZbCdOMhvK0SZa0eaf3+sEk4cPltgbYwxxhhjDHwGeCXwT929/V8Z6OvZ3+oGGXO0pspg5/uRay5wzgTSuYy1Oo1taz5IJzcGe5wM9rjtSnVDT3+2E6TeIHEGO26sOiAVgXiMtbpKpVLAiee9VhUGa6VZyViHOuHetcDaGGOMMcaYgb4e7e7t/zPgTuBdwBta3CRjpnaUGex8cTJJLas0L4MdLWcz2JrvCp4ZY53LaKsifnp9aYz/FgAHdeMMtgc1itSLiteKIbu0kcFuplrgTvjaLEzWa4wxxhhjzMIz0NfzK+BDwOu6e/svbHV7jJmpSUPLCbqNpx9M8lAhiibr1cQdUDd+OFEGu15pfLxHpin5hoZR1toJooDb8XOPalRF3KkKTkVwKg5SFaQqUHGoVApUys1/qGWsjTHGGGOMmZa/A14NvBN4YUtbYszRmmkGO931m1wGG8ms75CvOE7yYaL1nuRxBjvMZrAlnDqDnWTD4xXq03OpZNuibvSNaVyxPPTAp0gwCzP8qT/xRi1jbYwxxhhjTGygr+cQ8D7gt7p7+y9obWuMaS5NPcYYJ1udyWA7ZDPW6exz/fVUBruRuW5ksEO3/hjn/enPzjctzD38xsOpRdlrtxI/quCUHaTS/Me4jYtZxtoYY4wxxpis9wN/DvwN8Dstbosxx26cDHb6v+NVEU9ed6bOYNe3p0yRwQ5zGd1A0PTKkp1+a0wGO/Wa1OcFk0Y7VSRZDr3GNF3NlmljjmWsjTHGGGOMSRno6zkIfBR4YXdv/9pWt8eY2TLjDHb9MVUGO5+9dkllr8eOxR4vgy31YFtz2esgzlqnH1XBnYXHZIPWLWNtjDHGGGPMWJ8A3ga8CuhrcVuMaY7stNMZx5TBzmwjFXjWM9nTzGCHIjhMnsFOXlImzWBLfRz0bGSsJ5ka2zLWxhhjjDHG5Az09TwAXAO8pru3fxYu0Y1psfGqgqce45ksg02uSvh4GexM1XA3+xiTwU6tm/+sevY6k8EO4ux1oGMz2E16TDY1tmWsjTHGGGOMGd9ngP8Gzgd+2eK2GNN8M8hgJ4XMYtl5q+sDoFMby5QnT4p+A2OzvSGCxBtLVxIfr61jMtjhON9Ms1hgbYwxxhhjzFH7Xvz1uVhgbRY7YdzgOnk5F4Tni4NJegiyKKKNgmKqgJtaOcwuh+SC61RUr0rUTXySQmzZLuqTFxmbkUkCa+sKbowxxhhjzDgG+np2AHcAz2lxU4yZG6nptPLyw6nHfWSKmWnqMbZ7+NhiZo2Heqmu4F60TvJafdarCdoq2ugW3vTHTANrEflzEfmViNwtIl8UkTYROVVEbhSRh0TkyyJSnM62jDFHz45BY1rLjkFjlrSrgCd29/aXWt2QmbDzmDlqU43BzgW2+Yrh2Yc2gu5xxlfnx1yH+fHXnqBu9AhdGf/9E4zBbuZjMlMG1iKyDvgz4FJV3USUtH8J8B7gvap6BnAQeM10fj7GmKNjx6AxrWXHoDFL3k1AgWic9YJk5zFzzGaawU49Js1gjzsdVypLPc5juhnsuTLdruAe0C4iHtAB7ASeAXwtfv3TwG82vXXGmDo7Bo1pLTsGjVm6bom/XtrSVsycncfMzMwgg52f53pMBjufxXbiLuD1hwuhFz3UmyKD7TAmg92sx2SmDKxVdTvwb8AWogPwMHArcEhV/Xi1bcC6cfe/yGtF5BYRuWXv/tkaRW7M4mXHoDGt1cxjMBgenosmG2OaazNwCLigxe04Zs08j4V2HlvappsVzmerp8hgjzdFVyaoTQXMSZY6F0xPmsFu5mMC0+kKvgr4DeBU4GSgE7hyqvfVqerHVPVSVb30hOPcqd9gjMmwY9CY1mrmMeh2ds5SK40xs2Wgr0eBh4HTWt2WY9XM85hj5zFTlwsyNfcYL7ieLIM9XnfvzJhrL/tIZ7DVk+QRZbMbrzfzMdkw6+lMt/VrwKOquhdARL4BPBlYKSJefJdrPbD9aH4Oxphps2PQmNayY9AY8zBwcasbMQN2HjOzIx1cTxZ1jhOEZ97qgISpDTiS3ZySmfha3cayEv0/KS4moOk5r5tpJhlroi4jl4lIh4gI8EzgHuCnwG/H67wK+NbMWmmMmYAdg8a0lh2DxpgBYGN3b3+LyiLNmJ3HzOyb7Qx2erx1bnmyDHYzHzMKrFX1RqKiBrcBd8Xv+RjwV8BfiMhDwHHAJ45uzxtjpsOOQWNay45BYwywm6gy+IpWN+RY2HnMzJkmjcGOltNzXaUCcYcxy5kx1+lx2E1+TGY6XcFR1XcC78w9/Qjw+Om83xgzM3YMGtNadgwas+Ttib+uISpktuDYeczMuVw38XxPcRknw5285oDm+4KnynKHpLp+a6aXOBJGd46mmHb6mExWGXxagbUxxhhjjDFL2N746wnAA61siDELkjCzMdgCmVHXklqSKJhO1p1Gdnk2WGBtjDHGGGPM5A7HX5e3tBXGLGSTZLAl/zrNy2A3lWWsjTHGGGOMOWZH4q/LWtoKYxapfIb6mDLY8QoSjn3/XLDA2hhjjDHGmMkNxl8tsDamGfKB73Qy2NJYd9IMdlzUTGZhkLWNsTbGGGOMMebYjcZf21raCmOWiDEZ7DSZPIMdBdUyaRA8GyywNsYYY4wxZnKV+Gt7S1thzGI1VQZ7nCB5TAY79d7ZqQmOjbE2xhhjjDFmBsrxV8tYG9MC08pga2rZxlgbY4wxxhgz7/jx10JLW2HMUtGEDPactCulBTN8GWOMMcYYs3AM9PUoUXBtSSlj5oFJO3q3IFsNdnIwxhhjjDFmOnwsY21MaxxlBltbkD62wNoYY4wxxpipBVhvT2PmpTFTdbWABdbGGGOMMcZMLQTcVjfCGMO4Gez0f8cbgz3bLLA2xhhjjDFmagEWWBuzIMzSZFuTbtcCa2OMMcYYY6Y26Yw/xpgWmiSDPVdsnIgxxhhjjDFTs8DaGDMhy1gbY4wxxhgztRBLShmzMLTgFpidHIwxxhhjjJlaCzqXGmMWCgusjTHGGGOMmR7rCm6MGZcF1sYYY4wxxkzNxlgbYyZkgbUxxhhjjDFTs67gxpgJWWBtjDHGGGOMMcbMgAXWxhhjjDHGGGPMDFhgbYwxxhhjzPTYGGtjzLgssDbGGGOMMWZqNsbaGDMhC6yNMcYYY4wxxpgZsMDaGGOMMcYYY4yZAQusjTHGGGOMMcaYGbDA2hhjjDHGGGOMmQELrI0xxhhjjDHGmBmwwNoYY4wxxhhjjJkBC6yNMcYYY4wxxpgZsMDaGGOMMcYYY4yZAVGdu7nuRWQvMAzsm7MPnb7jmZ/tgvnbtvnaLpifbduoqie0sgF2DB6z+dq2+doumJ9ts2NwavPx5wbWrmMxH9vW8mNwJrp7+3cC3x7o63ldq9vSSvP8PDYff+/r5mvb5mu7YH62bcLzmDeXrVDVE0TkFlW9dC4/dzrma7tg/rZtvrYL5nfbWsmOwWMzX9s2X9sF87ttrTSfj0GYvz83a9fRm89tMwvbfD6Pzdd2wfxt23xtF8zvto3HuoIbY4wxxhhjjDEzMKcZa2OMMcYYYxaoZwJHWt0IY8z81IrA+mMt+MzpmK/tgvnbtvnaLpjfbWu1+bpv5mu7YP62bb62C+Z321ptPu+b+do2a9fRm89tW5AG+nruaXUb5pH5+vs1X9sF87dt87VdML/bNsacFi8zxhhjjDHGGGMWGxtjbYwxxhhjjDHGzMCcBdYicqWI3C8iD4lI71x97gRt2SAiPxWRe0TkVyLypvj51SJylYg8GH9d1aL2uSJyu4h8J14+VURujPfdl0Wk2KJ2rRSRr4nIfSJyr4g8cT7sMxH58/jneLeIfFFE2ubLPptP7Bg8qvbZMXh07bJjcJrmy3Fox+Axt8uOQbOkzZdzWNwWO48dW7vsPDZL5iSwFhEX+DDwHOA84KUict5cfPYEfOAtqnoecBnwJ3F7eoEfq+qZwI/j5VZ4E3Bvavk9wHtV9QzgIPCalrQK3g98X1XPAS4kamNL95mIrAP+DLhUVTcBLvAS5s8+mxfsGDxqdgxOkx2D0zfPjkM7Bo+NHYNmyZpn5zCw89ixsvPYbFHVWX8ATwR+kFp+O/D2ufjsabbvW8CzgPuBtfFza4H7W9CW9US/0M8AvgMI0cTo3nj7cg7btQJ4lHhcfur5lu4zYB2wFVhNVIzvO8Cvz4d9Np8edgweVVvsGDy6dtkxOP19NW+PQzsGp9UuOwbtsaQf8/kcFrfHzmNTt8vOY7P4mKuu4PWdVbctfq7lRKQbuAi4EThRVXfGL+0CTmxBk94HvA0I4+XjgEOq6sfLrdp3pwJ7gf+Ju7X8t4h00uJ9pqrbgX8DtgA7gcPArcyPfTaf2DE4fe/DjsFps2PwqMzL49COwWmzY9AsdfPyHAZ2HjsKdh6bRUu6eJmIdAFfB96sqpl5CTW6NTKnJdNF5HnAHlW9dS4/d5o84GLgI6p6ETBMrptIi/bZKuA3iE4UJwOdwJVz2QZz7OwYPCp2DJqms2PwqNgxaMw8ZOexo2LnsVk0V4H1dmBDanl9/FzLiEiB6CD8vKp+I356t4isjV9fC+yZ42Y9GXiBiAwAXyLqPvJ+YKWI1Occb9W+2wZsU9Ub4+WvER2Yrd5nvwY8qqp7VbUGfINoP86HfTaf2DE4PXYMHj07BqdvXh2HdgweNTsGzVI3r85hYOexY2DnsVk0V4H1zcCZcWW3ItFg9G/P0WePISICfAK4V1X/I/XSt4FXxf9/FdFYjTmjqm9X1fWq2k20j36iqi8Dfgr8dqvaFbdtF7BVRM6On3omcA8t3mdEXUYuE5GO+Odab1fL99k8Y8fgNNgxeEzsGJy+eXMc2jF4TG2zY9AsdfPmHAZ2HjvGttl5bDbN1WBu4LnAA8DDwF/P1edO0JbLibo4/BK4I348l2j8w4+BB4EfAatb2MYrgO/E/z8NuAl4CPgqUGpRmx4L3BLvt28Cq+bDPgP+HrgPuBv4LFCaL/tsPj3sGDzqNtoxOP122TE4/X01L45DOwaPuU12DNpjST/myzksboudx46tTXYem6WHxN+IMcYYY4wxxhhjjsGSLl5mjDHGGGOMMcbMlAXWxhhjjDHGGGPMDFhgbYwxxhhjjDHGzIAF1sYYY4wxxhhjzAxYYG2MMcYYY4wxxsyABdbGGGOMMcYYY8wMWGBtjDHGGGOMMcbMgAXWxhhjjDHGGGPMDPx/4/h/QEt3IO0AAAAASUVORK5CYII=\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(figsize=(17, 4), ncols=5, gridspec_kw={'width_ratios': (4, 4, 4, 1, 4)})\n", + "axs[0].imshow(w)\n", + "axs[0].set_title('Wedge model')\n", + "axs[1].imshow(vp * rho) \n", + "axs[1].set_title('Impedance')\n", + "axs[2].imshow(rc)\n", + "axs[2].set_title('Reflectivity')\n", + "axs[3].plot(ricker, np.arange(ricker.size))\n", + "axs[3].axis('off')\n", + "axs[3].set_title('Wavelet')\n", + "axs[4].imshow(syn)\n", + "axs[4].set_title('Synthetic')\n", + "axs[4].plot(top, 'w', alpha=0.5)\n", + "axs[4].plot(base, 'w', alpha=0.5)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "qualified-formula", + "metadata": {}, + "source": [ + "Note that we could also have made the impedance model directly — it just depends how you want to make your models. \n", + "\n", + "So we can use the `strat` argument, and pass in the rock properties there. " + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "873b26d7", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "array([6.148, 6.11 , 6.157])" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rocks = np.array([2.32 * 2.65, # Rock index 0\n", + " 2.35 * 2.60, # Rock index 1\n", + " 2.35 * 2.62, # Rock index 2\n", + " ])\n", + "rocks" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "afa65ef5", + "metadata": {}, + "outputs": [], + "source": [ + "vps = np.array([2320, 2350, 2350])\n", + "vss = np.array([1150, 1250, 1200])\n", + "rhos = np.array([2650, 2600, 2620])" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "2e6a81f6", + "metadata": {}, + "outputs": [], + "source": [ + "impedances = vps * rhos" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "f945d77c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(strat=impedances)\n", + "plt.imshow(w, interpolation='none') \n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.colorbar()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "international-domain", + "metadata": {}, + "source": [ + "Now the wedge contains rock properties, not integer labels." + ] + }, + { + "cell_type": "markdown", + "id": "radical-listing", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## A layered wedge model\n", + "\n", + "We can modify the stratigraphy of any layer. E.g., let's pass `(1, 2, 1, 2, 1)` in as the wedge strat, instead of just `1`. We'll also change the bottom layer to a `3`, so now we have 4 rocks." + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "hidden-phone", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(depth=(100, 600, 100),\n", + " width=(200, 1600, 200),\n", + " strat=(0, (1, 2, 1, 2, 1), 3),\n", + " mode='linear'\n", + " )\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "sticky-playback", + "metadata": {}, + "source": [ + "Notice that the `wedge` function returns 4 things:\n", + "\n", + "- The wedge model as a 2D NumPy array of ints (or whatever numbers you gave as input).\n", + "- The top horizon, in pixel index units, for convenience.\n", + "- The base horizon, in pixel index units, for convenience.\n", + "- The horizontal (left-right) position, as an integer, of the 'reference' model. You may or may not be interested in this, depending on your application.\n", + "\n", + "If you only want the wedge, you can call the function like so:\n", + "\n", + " wedge, *_ = bg.models.wedge()" + ] + }, + { + "cell_type": "markdown", + "id": "protecting-credit", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## Arbitrary thicknesses\n", + "\n", + "You can provide the minimum and maximum thickness of the wedge.\n", + "\n", + "**Note:** If the maximum thickness of the wedge if more than 1, then the total depth (i.e. number of rows) of the model will be more than the sum of the `depth` argument, so that the entire model can be accommodated. If you don't want the 'extra' depth, you can slice them off the model as with any NumPy array.\n", + "\n", + "Here's a layer cake:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "frequent-dominant", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(depth=(10., 80, 10),\n", + " width=(10, 80, 10),\n", + " strat=(0, (1, 2, 2, 1, 2, 1, 0, 1, 1,), 3), # Floats in the wedge\n", + " thickness=(1, 1),\n", + " mode='linear',\n", + " )\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "unsigned-parks", + "metadata": {}, + "source": [ + "Here's another example. This time we'll also pass in floats — velocities perhaps." + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "id": "reduced-modeling", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", 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" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(depth=(10., 80, 10),\n", + " width=(10, 80, 10),\n", + " strat=(1.48, (2.10, 2.25, 2.35), 2.40), # Floats in the wedge.\n", + " thickness=(1, 0.5),\n", + " mode='linear',\n", + " )\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "cb = plt.colorbar()\n", + "cb.ax.invert_yaxis()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "outdoor-edmonton", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## Top and bottom conformance\n", + "\n", + "The layers in the wedge can also be top or bottom conforming, rather than proportionally adjusted." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "elementary-leeds", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "confs = ['both', 'top', 'bottom']\n", + "\n", + "fig, axs = plt.subplots(ncols=len(confs), figsize=(12, 4))\n", + "for ax, conf in zip(axs, confs):\n", + " w, top, base, ref = bg.models.wedge(strat=((0, 1, 0), (2, 3, 2, 3, 2), (4, 5, 4)),\n", + " conformance=conf)\n", + " ax.imshow(w, interpolation='none')\n", + " ax.axvline(ref, color='k', ls='--')\n", + " ax.plot(top, 'r-', lw=4)\n", + " ax.plot(base, 'r-', lw=4)\n", + " ax.set_title(f\"{conf} conformant\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "packed-closing", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## Different 'wedge' shapes\n", + "\n", + "The linear wedge is familiar, but you can also have other shapes (`power` and `root` were new in v0.4.3):" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "id": "defined-cassette", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "modes = ['linear', 'root', 'power', 'sigmoid']\n", + "\n", + "fig, axs = plt.subplots(ncols=len(modes), figsize=(15, 5))\n", + "for ax, mode in zip(axs, modes):\n", + " w, top, base, ref = bg.models.wedge(mode=mode)\n", + " ax.imshow(w, interpolation='none')\n", + " ax.axvline(ref, color='k', ls='--')\n", + " ax.plot(top, 'r-', lw=4)\n", + " ax.plot(base, 'r-', lw=4)\n", + " ax.set_title(mode)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "capital-analyst", + "metadata": {}, + "source": [ + "If you're feeling creative, you can also give `wedge()` your own function (since version 0.4.3). Your function should have an API like `np.linspace()` (the function that produces the standard wedge shape). Here's an example:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "plastic-lafayette", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "def wavy(start, stop, num):\n", + " \"\"\"\n", + " Custom wedge shape.\n", + " \"\"\"\n", + " x = np.linspace(0, 10*np.pi, num)\n", + " y = np.sin(x) + x\n", + " \n", + " # Normalize to 0-1.\n", + " y_ = (y - np.min(y)) / (np.max(y)-np.min(y))\n", + " \n", + " # Scale to required output.\n", + " return min(start, stop) + abs(stop-start) * y_\n", + "\n", + "\n", + "# The wedge function will pass 'left' and 'right' thicknesses.\n", + "# You only need to worry about the case where left < right.\n", + "left, right = 1, 2\n", + "y = wavy(left, right, 100)\n", + "\n", + "plt.plot(y)\n", + "plt.ylim(right, 0)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "guided-secondary", + "metadata": {}, + "source": [ + "Let's use that function to make a model:" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "sublime-poverty", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(mode=wavy, thickness=(1, 0))\n", + "\n", + "plt.imshow(w, interpolation='none')\n", + "plt.axvline(ref, color='k', ls='--')\n", + "plt.plot(top, 'r-', lw=4)\n", + "plt.plot(base, 'r-', lw=4)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "exciting-completion", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## Varying net:gross across `breadth`\n", + "\n", + "**This is a new feature introduced in v0.4.3; if you find bugs, please let us know by [raising an issue](https://github.com/agile-geoscience/bruges/issues).**\n", + "\n", + "If you define a **binary wedge** — i.e. exactly 2 lithologies in the wedge layer — then you can pass a `breadth` argument to get a 3D model. The new dimension contains the 2 pure litholgies at each end, and pinches them out across the model's 'breadth'. Now the top and base are 2D arrays (surfaces through the wedge volume), while `ref` is still a scalar (the lateral position of the reference 'trace')." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "psychological-spanish", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "((100, 100, 100), (100, 100), (100, 100), 89)" + ] + }, + "execution_count": 15, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "w, top, base, ref = bg.models.wedge(strat=(0, (1, 2, 1, 1, 2, 1), 3), # Binary wedge.\n", + " breadth=100)\n", + "\n", + "w.shape, top.shape, base.shape, ref" + ] + }, + { + "cell_type": "markdown", + "id": "framed-alaska", + "metadata": {}, + "source": [ + "Let's look at 3 slices: one from one end of the 'net:gross' axis (the last axis), one from the other end (right hand image), and one from halfway (middle image). These are the net:gross end-members." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "polish-shirt", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "slices = [0, 50, 99]\n", + "\n", + "fig, axs = plt.subplots(ncols=len(slices), figsize=(16, 4))\n", + "for ax, slic in zip(axs, slices):\n", + " ax.imshow(w[..., slic], interpolation='none')\n", + " ax.plot(top[:, slic], 'r-', lw=4)\n", + " ax.plot(base[:, slic], 'r-', lw=4)\n", + " ax.set_title(f\"Wedge slice: {slic}\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "cathedral-ceramic", + "metadata": {}, + "source": [ + "Slices in/out of the page, look like this:" + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "indirect-booth", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": "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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "slices = [30, 50, 90]\n", + "\n", + "fig, axs = plt.subplots(ncols=len(slices), figsize=(16, 4))\n", + "for ax, slic in zip(axs, slices):\n", + " ax.imshow(w[:, slic], interpolation='none')\n", + " ax.plot(top[slic], 'r-', lw=4)\n", + " ax.plot(base[slic], 'r-', lw=4)\n", + " ax.set_title(f\"Net:gross slice: {slic}\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "falling-seller", + "metadata": {}, + "source": [ + "Let's simulate the seismic:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "2cc6ed01", + "metadata": {}, + "outputs": [], + "source": [ + "# Populate the model (4 layers) with rock properies\n", + "vps = np.array([2320, 2350, 2350, 2370])\n", + "rhos = np.array([2650, 2600, 2620, 2610])\n", + "\n", + "vp = vps[w]\n", + "rho = rhos[w]" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "selected-settle", + "metadata": {}, + "outputs": [], + "source": [ + "rc = bg.reflection.acoustic_reflectivity(vp, rho)\n", + "\n", + "# Get a wavelet.\n", + "ricker, _ = bg.filters.ricker(0.064, 0.001, 40, sym=True, return_t=True)\n", + "\n", + "# Repeated 1D convolution for a synthetic.\n", + "syn = bg.filters.convolve(rc, ricker)" + ] + }, + { + "cell_type": "markdown", + "id": "enhanced-cookbook", + "metadata": {}, + "source": [ + "Let's look at the three orthognal profiles through this synthetic:" + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "liquid-manchester", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ma = np.percentile(syn, 99.9)\n", + "vols, cmaps = [w, syn], ['viridis', 'gray']\n", + "\n", + "fig, axs = plt.subplots(ncols=3, nrows=2, figsize=(14, 8))\n", + "for row, vol, cm in zip(axs, vols, cmaps):\n", + " row[0].imshow(vol[:, :, 24], aspect='auto', interpolation='none', cmap=cm, vmin=-ma if vol is syn else None, vmax=ma if vol is syn else None)\n", + " row[0].axhline(40, c='w', lw=0.67)\n", + " row[0].axvline(50, c='w', lw=0.67)\n", + " row[0].set_title(f\"Wedge axis\")\n", + " row[1].imshow(vol[:, 50, :], aspect='auto', interpolation='none', cmap=cm, vmin=-ma if vol is syn else None, vmax=ma if vol is syn else None)\n", + " row[1].axhline(40, c='w', lw=0.67)\n", + " row[1].axvline(24, c='w', lw=0.67)\n", + " row[1].set_title(f\"Net:gross axis\")\n", + " row[2].imshow(vol[40, :, :], aspect='auto', interpolation='none', cmap=cm, vmin=0 if vol is w else -ma, vmax=ma if vol is syn else None)\n", + " row[2].axhline(50, c='w', lw=0.67)\n", + " row[2].axvline(24, c='w', lw=0.67)\n", + " row[2].set_title(f\"Timeslice axis\")\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "functional-scene", + "metadata": {}, + "source": [ + "---\n", + "\n", + "## Models from well logs\n", + "\n", + "We can pass in arrays as `strat` and they will be used as the values in the model layers.\n", + "\n", + "We'll start by loading a CSV file of a well log and dissecting it into three zones that we can pass in as `strat`. [Welly](https://code.agilescientific.com/welly/) would but useful for this, but we can also select these segments using conditions on the key depth boundaries.\n", + "\n", + "Well load the well log as a 2D numpy array, and then pull out the `depths`, p-sonic (slowness) `dt`, and density `rhob`:" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "b6903ba3", + "metadata": {}, + "outputs": [], + "source": [ + "log_data = np.loadtxt('../data/P-129.csv', delimiter=',', skiprows=1)\n", + "depths, dt, rhob = log_data[:, 0], log_data[:, 2], log_data[:, 4]" + ] + }, + { + "cell_type": "markdown", + "id": "7b9ad511", + "metadata": {}, + "source": [ + "And calculate an acoustic impedance log as input into our model:" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "fbf1d82e", + "metadata": {}, + "outputs": [], + "source": [ + "impedance = (1e6 / dt) * rhob" + ] + }, + { + "cell_type": "markdown", + "id": "17d24a87", + "metadata": {}, + "source": [ + "We must can segment this array into upper, middle, and lower segments. " + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "1dc12225", + "metadata": {}, + "outputs": [], + "source": [ + "datum, top, base, floor = 500, 701, 805, 1005 \n", + "\n", + "log_upper = impedance[(depths >= datum) & (depths < top)]\n", + "log_wedge = impedance[(depths >= top) & (depths < base)]\n", + "log_lower = impedance[(depths >= base) & (depths < floor)]" + ] + }, + { + "cell_type": "markdown", + "id": "28b6851b", + "metadata": {}, + "source": [ + "We'll create arrays of depths for the corresponding zones as well:" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "e76ab68c", + "metadata": {}, + "outputs": [], + "source": [ + "upper_depths = depths[(depths >= datum) & (depths < top)]\n", + "wedge_depths = depths[(depths >= top) & (depths < base)]\n", + "lower_depths = depths[(depths >= base) & (depths < floor)]" + ] + }, + { + "cell_type": "markdown", + "id": "1797dee4", + "metadata": {}, + "source": [ + "A quick plot of the three zones shows us the stratigraphic impedance values we'll pass intou the `wedge` function." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "ae5d27b9", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "(1005.0, 500.0)" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(2, 8))\n", + "plt.plot(log_upper, upper_depths, lw=2)\n", + "plt.plot(log_wedge, wedge_depths, lw=1)\n", + "plt.plot(log_lower, lower_depths, lw=1)\n", + "plt.ylim(floor, datum)" + ] + }, + { + "cell_type": "markdown", + "id": "210c89b0", + "metadata": {}, + "source": [ + "The middle piece (orange) will be fitted to the middle layer of the wedge (resulting in the number of pixels given in the `depth` argument. The upper (blue) and lower (green) pieces will then be cropped to fit their layers, so you must provide enough data for this to happen. The safest thing to do is to provide the _entire_ log above and the same below.\n", + "\n", + "Now we can send these pieces to `wedge`. At the reference location `ref`, it will squeeze all of `log_upper` array into the 400 samples allocated to the upper layer, `log_wedge` will be squeezed into 208 samples in wedge layer, and `log_lower` will be squeezed into 400 samples in lower layer. We've chosen these depth sizes to be proportional to the the thicknesses of these three zones. This is not a requirement however, it simply prevents distorting the individual segments at the reference trace." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "fadb30e8", + "metadata": {}, + "outputs": [], + "source": [ + "w, top, base, ref = bg.models.wedge(depth=(400, 208, 400),\n", + " width=(20, 260, 20),\n", + " strat=(log_upper, log_wedge, log_lower),\n", + " mode='sigmoid', conformance='bottom',\n", + " thickness=(0, 1)\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "b7add786", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "ref = 280 # location of the well (reference location)\n", + "log = w[:, ref]\n", + "log = (log - np.mean(log)) / np.std(log)\n", + "depth = np.arange(len(log))\n", + "sf = 2.5 # scale factor for log plot\n", + "log_bias = np.ptp(log) # offset from reference trace\n", + "\n", + "# Create Figure\n", + "fig, axs = plt.subplots(figsize=(16, 8), ncols=2, gridspec_kw={'width_ratios': (1, 5)})\n", + "\n", + "axs[0].plot(log, depth)\n", + "axs[0].set_ylim(depth[-1], depth[0])\n", + "axs[0].set_title('Well A: impedance')\n", + "\n", + "im=axs[1].imshow(w, aspect='auto', cmap='viridis_r')\n", + "axs[1].plot(top, 'r-', lw=4)\n", + "axs[1].plot(base, 'r-', lw=4)\n", + "axs[1].fill_betweenx(depth, ref + log_bias + (sf*log), ref, color='w', alpha=1.0)\n", + "axs[1].plot(ref + log_bias + (sf*log), depth, c='k', lw=1)\n", + "axs[1].axvline(ref, color='k', ls='-', lw=0.5)\n", + "axs[1].set_title('Well A')\n", + "axs[1].set_xlim(0, 300)\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "timely-forward", + "metadata": {}, + "source": [ + "---\n", + "© 2021 Agile Scientific, licensed CC-BY / Apache 2.0" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} From 127540a25f6c2b8b964dcf799637a50426bbfb6e Mon Sep 17 00:00:00 2001 From: EvanBianco Date: Sun, 20 Feb 2022 11:14:06 -0400 Subject: [PATCH 3/3] Revert "trying again with Wedges" This reverts commit ad54339776a74d01fd91f93ca43179ab51361a8e. pushed to Master by mistake. Meant to be on develop branch! --- docs/_userguide/Wedges.ipynb | 1037 ---------------------------------- 1 file changed, 1037 deletions(-) delete mode 100644 docs/_userguide/Wedges.ipynb diff --git a/docs/_userguide/Wedges.ipynb b/docs/_userguide/Wedges.ipynb deleted file mode 100644 index 6aa3d52..0000000 --- a/docs/_userguide/Wedges.ipynb +++ /dev/null @@ -1,1037 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "corporate-inspector", - "metadata": {}, - "source": [ - "# Wedges in `bruges`\n", - "\n", - "Let's make wedge models!\n", - "\n", - "We're going to make **all sorts of models** using one magical function. Here's what it can do:\n", - "\n", - "- Layer-cake models with no dip.\n", - "- Wedge models with arbitrary thickness on the left and right.\n", - "- Clinoform models.\n", - "- Models filled with arbitrary stratigraphy, from constant values to well logs.\n", - "\n", - "All these models can have varying amounts of rock above and below them, and can be extended left and right beyond the wedgy part. You can also dip the wedge in either direction.\n", - "\n", - "**This is a new feature introduced in v0.4.2; if you find bugs, please let us know by [raising an issue](https://github.com/agile-geoscience/bruges/issues).**" - ] - }, - { - "cell_type": "code", - "execution_count": 1, - "id": "mechanical-genius", - "metadata": {}, - "outputs": [], - "source": [ - "import numpy as np\n", - "import matplotlib.pyplot as plt\n", - "import bruges as bg" - ] - }, - { - "cell_type": "markdown", - "id": "french-swing", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## The default model and a basic synthetic workflow\n", - "\n", - "We can produce a simple wedge model just by calling the function." - ] - }, - { - "cell_type": "code", - "execution_count": 2, - "id": "changed-graphic", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge()\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "severe-companion", - "metadata": {}, - "source": [ - "You can then use this integer model to index into an array of rock properties:" - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "id": "80b58fa4", - "metadata": {}, - "outputs": [], - "source": [ - "vps = np.array([2320, 2350, 2350])\n", - "vss = np.array([1150, 1250, 1200])\n", - "rhos = np.array([2650, 2600, 2620])" - ] - }, - { - "cell_type": "markdown", - "id": "f513fc44", - "metadata": {}, - "source": [ - "We can use these to make `vp`, `vs` and `rho` earth models. We can use NumPy’s fancy indexing by passing our array of indicies to access the rock properties (in this case acoustic impedance) for every element at once." - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "id": "5ff4f7e7", - "metadata": {}, - "outputs": [], - "source": [ - "vp = vps[w]\n", - "vs = vss[w]\n", - "rho = rhos[w]" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "id": "environmental-transfer", - "metadata": {}, - "outputs": [], - "source": [ - "# Make reflectivity.\n", - "rc = bg.reflection.acoustic_reflectivity(vp, rho)\n", - "\n", - "# Get a wavelet.\n", - "ricker, _ = bg.filters.ricker(0.064, 0.001, 40, sym=True, return_t=True)\n", - "\n", - "# Repeated 1D convolution across the rc array.\n", - "syn = bg.filters.convolve(rc, ricker)" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "id": "reported-classroom", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "fig, axs = plt.subplots(figsize=(17, 4), ncols=5, gridspec_kw={'width_ratios': (4, 4, 4, 1, 4)})\n", - "axs[0].imshow(w)\n", - "axs[0].set_title('Wedge model')\n", - "axs[1].imshow(vp * rho) \n", - "axs[1].set_title('Impedance')\n", - "axs[2].imshow(rc)\n", - "axs[2].set_title('Reflectivity')\n", - "axs[3].plot(ricker, np.arange(ricker.size))\n", - "axs[3].axis('off')\n", - "axs[3].set_title('Wavelet')\n", - "axs[4].imshow(syn)\n", - "axs[4].set_title('Synthetic')\n", - "axs[4].plot(top, 'w', alpha=0.5)\n", - "axs[4].plot(base, 'w', alpha=0.5)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "qualified-formula", - "metadata": {}, - "source": [ - "Note that we could also have made the impedance model directly — it just depends how you want to make your models. \n", - "\n", - "So we can use the `strat` argument, and pass in the rock properties there. " - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "873b26d7", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "array([6.148, 6.11 , 6.157])" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "rocks = np.array([2.32 * 2.65, # Rock index 0\n", - " 2.35 * 2.60, # Rock index 1\n", - " 2.35 * 2.62, # Rock index 2\n", - " ])\n", - "rocks" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "afa65ef5", - "metadata": {}, - "outputs": [], - "source": [ - "vps = np.array([2320, 2350, 2350])\n", - "vss = np.array([1150, 1250, 1200])\n", - "rhos = np.array([2650, 2600, 2620])" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "2e6a81f6", - "metadata": {}, - "outputs": [], - "source": [ - "impedances = vps * rhos" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "f945d77c", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(strat=impedances)\n", - "plt.imshow(w, interpolation='none') \n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "plt.colorbar()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "international-domain", - "metadata": {}, - "source": [ - "Now the wedge contains rock properties, not integer labels." - ] - }, - { - "cell_type": "markdown", - "id": "radical-listing", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## A layered wedge model\n", - "\n", - "We can modify the stratigraphy of any layer. E.g., let's pass `(1, 2, 1, 2, 1)` in as the wedge strat, instead of just `1`. We'll also change the bottom layer to a `3`, so now we have 4 rocks." - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "id": "hidden-phone", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(depth=(100, 600, 100),\n", - " width=(200, 1600, 200),\n", - " strat=(0, (1, 2, 1, 2, 1), 3),\n", - " mode='linear'\n", - " )\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "sticky-playback", - "metadata": {}, - "source": [ - "Notice that the `wedge` function returns 4 things:\n", - "\n", - "- The wedge model as a 2D NumPy array of ints (or whatever numbers you gave as input).\n", - "- The top horizon, in pixel index units, for convenience.\n", - "- The base horizon, in pixel index units, for convenience.\n", - "- The horizontal (left-right) position, as an integer, of the 'reference' model. You may or may not be interested in this, depending on your application.\n", - "\n", - "If you only want the wedge, you can call the function like so:\n", - "\n", - " wedge, *_ = bg.models.wedge()" - ] - }, - { - "cell_type": "markdown", - "id": "protecting-credit", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## Arbitrary thicknesses\n", - "\n", - "You can provide the minimum and maximum thickness of the wedge.\n", - "\n", - "**Note:** If the maximum thickness of the wedge if more than 1, then the total depth (i.e. number of rows) of the model will be more than the sum of the `depth` argument, so that the entire model can be accommodated. If you don't want the 'extra' depth, you can slice them off the model as with any NumPy array.\n", - "\n", - "Here's a layer cake:" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "id": "frequent-dominant", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(depth=(10., 80, 10),\n", - " width=(10, 80, 10),\n", - " strat=(0, (1, 2, 2, 1, 2, 1, 0, 1, 1,), 3), # Floats in the wedge\n", - " thickness=(1, 1),\n", - " mode='linear',\n", - " )\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "unsigned-parks", - "metadata": {}, - "source": [ - "Here's another example. This time we'll also pass in floats — velocities perhaps." - ] - }, - { - "cell_type": "code", - "execution_count": 46, - "id": "reduced-modeling", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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X52laUSSwGoETMvi5OZjUWNv6YsgiPlWt3P/lzAHudvejzawJaCNo9+5x96+b2SXAJcDFVaqzLAccunOYh5daG3Taf7aJ3OV5mp8aGHYTbwCOy+Dn5WCKAqssSVhI0My6gPcAnwJw936g38yOAmYUNpsP3EfIwfUPJ06qyn7VYUWMO22/2ET37DzNy4sEVho4tjNYdXSqAms0jMoNzldLOR3XNGAt8D0z2x9YCpwHTBgy8r+G4F6k1zGzWcAsgNwuVVpnu6C/LzhNaGrV5exEcqftl5vovixP8+NFAisFfKwT/3wOpjXVtr4EqeAtP1VRTnA1AG8HznH3B81sDsFp4f9wd7ciEV2YRTsPYOp+marG+DWf+SMwunlc6qZiwJ22e/vJzd5Ayx+LBJYBH+3AP98NuymwxioJHdcqYJW7b52mfytBcL249X4iM5sIVObxIiJbudN6fz/d387T8ujwz8x0A47qwD/XDXsqsCom7h2Xu68xs+fMbC93fwqYSXCD5DLgFODrhV9vr2qlFaIOKwbcaf3vfnLfztO6tPhDfv0jHfgFOdirukMQdccglYCOC+Ac4ObCFcWVBBPEUsBCMzsdeAY4tjolSj1p+e0mur+dp/WhEoF1eDt+QTfso8CqBqvgPK5qKSu43P1RYLgbKWdWtJox6k73AOqq4qjlwX66L8vT+pviz6r3DxUC6y0KrGpLRHDFxcePaQ27BBml5iX9dM/O0/ZAicB6f1sQWG9rqWFl9S0JVxVj4+PHtIVdgpSp+ZFCYP1XicCa0YZf1A0HKLBqLSljXBXRleqr6mncK68ES5Z0d0f8foU61vyHzeQuy9P+q01Ft/H3tOIXdsM71EGHwSq4OkS1JKrjOvuzwa2SP1wY7yWck6jp8c10z87T/ssSgXVwK/6FbjhQgRW2VErBJXWsaXnQYXXcXSKwDmoJAutdOtWPBtepotSnxqc2031Zno67SgTWOwqB9e7W6I8G15Gk3KsoUrbGPw+Qm5On46cbiy4w4H/XjF84Dt6rwIqqFAouqQONKwuB9ZMSgfW25mDQ/ZA2BVaUWfR/PIkKrpM+oTGSWmv865DAGv45FPh+zcEp4QcUWHFgQDpV5IcZEYkKrg8fqatRtdLwzAC5K3roXNSHDb/oKL5vU9BhfahdgRUrGpyvqdWrg39Bu+yi9biqpeG5AXJX9tB5ax82/Aoz+N6FwDqsHVIKrDjS4HwNXXj+ekDzuKqh4fktZK/Kk1nYhxW5/9n3bApWaziiQ4EVY5ag1SGkTqXXbCF3dQ+ZW3qxInfn+G6Nwb2ER3ZAWoGVBLqqKLGUfnEL2e/0kPlhL6kiU7F8WiP+uRx8rFOBlTA6VZRYSa/dQnZuD5nvlwisNzYESyR/rBMaFFhJYzgNuqoocZB+eQvZa3vIzO8ltXH4bXxyA35+Do7NQKMCK6kMjXHV1Omfbg+7hNhJvTJI9toeuub3kuod/i+r71IIrOMy0KTASjwNztfWzA9o3aZypdYPkp3XQ9f3ekn1FAmsiWn8vG44PgPNCqx6osH5Glr5l2Bi0Zt2S9Qfq6JSrw7SdV0P2et7SeWLBNaENH5ODk7KQIvWNqs3pgmotfWlL74KaB7XcFKvDdJ1Qy9d1/WQfq1IYI0vBNbJGWhVYNUrAw3OS7gsP0jXjb1kr+0h/WqRwBqXxs/Kwild0KbAEo1xSUisZ5Cu+YXAWlcksHIp/J9ycGoXtCuwJGBojEtqzPqczE295ObmSb9SJLCyKfyzWTg9Cx0KLNmOaYxLasQ2Opkf9JKd20PD2uHHJzyTwj+ThTO6IKMb0aW4VLE1iiIiUcF11jkdYZdQc7bR6byll9zVPTS8VCSwOlPw6S58Vha6FFhSmiag1tjB/1BHTzje5GQWFAJrTZHAajc4Ixt0WTkFlpTHcBrUcdXOsieC9Vb22bcx5EqqqN/JLOwje1WextVFAqvN4LQu/MwcdCuwZPR0qlhDX/3X14CEzuPa7HTe2kfuyjyNq4oEVovBqV3BlcLxCizZMWaQ1qmijMmA07moj9ycHhqfG36NZG8xOKUrmIu1k36kMnaaDiE7ZsDpuH0juTl5mp4uEljNBidn8LNzMEE/SqkUr9ipoplNAW4CJgAOzHP3OdttcxJwMcF1gQ3Ame7+h1L71d/2qNnidPx0I7nL8zStLBJYTcBJXcHtORP1I5TKqvBVxQHgAnd/2Mw6gaVmttjdlw3Z5q/Ae919nZkdBswDDiy1U/2tj4pBp/3OjXRfnqdpRZHAagROyODn5mBSgi9ASKgMp7HYo5tGyd1fAF4o/H6DmS0HJgHLhmzzmyHf8jtg8kj7TVRwXXhRZ9gljN6g0/6zTeQuz9P81PCPzfEG4LgMfl4OpiiwpPqqMY/LzHYFDgAeLLHZ6cDPRtpXooLr7dObwi6hfO60/3wTucvyNC8vElhp4JhO/HPdMFWBJbUxyquK481syZDX89x93uv3aR3AbcD57v7a8Me19xEE17tHOmhZwWVmnwPOIBhceww4FZgILADGAUuBk929yHNgauPhJcHhIx1g7rQt3kT35XmaHy8SWCng453BgyimRfjPIomVouzB+ZfdfXqpDcyskSC0bnb3RUW2eStwHXCYu/9tpIOOGFxmNgk4F9jH3fvMbCFwPHA4cJm7LzCzawiScu5I+6umb/37BiCi87jcabu3n9zsDbT8sUhgGfDRjqDD2l2BJeGo5EKCZmbA9cByd59dZJupwCKC5udP5ey33FPFBqDVzDYDbQSDbYcAJxa+Ph/4F0IOrkhyp/X+frpn52l5ZPgnqboBRxUCa08FloTLoGKD88DBwMnAY2b2aOFzlwJTAdz9GuDLBGdu3wlyjoGRurgRg8vdnzezbwHPAn3ALwhODde7+9bWYRXBlYLXMbNZwCyAXSbV0RIq7rQ+0E9udp7WpUUe/Qz4RzqCpz/vVUf3WUrEOekKzeNy9wcIsrDUNmcQDEWVrZxTxRxwFDANWA/8GDi03AMUBurmAbzlrY3Rno5bIS2/3UT3t/O0PlQisA5rxy/shn0UWBItSVlI8P3AX919LYCZLSJo/7Jm1lDouiYDz1evzHhoebCf7svytP6m+DUK/1B78Lj6tyiwJLoq1XFVSznB9SxwkJm1EZwqzgSWAPcCRxNcWTwFuL1aRZbrS1/JhHLc5iXBGFbbAyUC6/1tQYe1vx6hJtFmVrlbfqqlnDGuB83sVuBhgun7jxCc+v0nsMDMvlr43PXVLLQctV7OpvmRfrq/naft/hKB9b5CYL1dgSXxkU7AqSLu/hXgK9t9eiXwzopXNAb//etNQPUXFGz+w2Zyl+Vp/9Wmotv4e1qDwHpHa1VrEam0St7yUy2Jmjl/9ZV5oHrB1fT4Zrovy9O+uERgHVwIrIMUWBJPwU3WMT9VFGhaHnRYHXeXCKyDWvAvdMO72mpYmUh1pMufOR8KBVcJTU8VAuuuEoH1jkJgvbs1uMlLJOYqOXO+WhRcw2j88wC5y/N03LmRYj8/f3sz/oVx8F4FliSPOq4YafzLALk5eTpuLxFY+zcHHdYhbQosSSQjGfO4YuOr/69rh76v4ekBuufk6fiPjRT7efl+zfhF3fB+BZYkm5muKtbUm3Yb3R+n4ZkBclf20HlbH8V+Tr5PU3CV8NB2BZbUjVEsaxOKRAXXPYs3AjDzA6Unezas2kLuijydt/Zhw68wg+/dFNyac3g7pBRYUj8M1+PJaun67/YAxYMrvXoLuSvzZBb2YUXuf/Y9GoMO64gOBZbUJUOD85GQXrOF3NU9ZG7pxYrcneO7NQYd1pEdkFZgSX3TBNQQpV/cQrYQWKkiU7F8WiP++W74qAJLBIJTxSYNztdeeu0WsnN7yHy/RGC9sSFYcfTjndCgwBLZKliPSx1XzWQ3OyevHmTqwWtJbRx+G59cCKxjOqFRgSXyepVbAbVaEhFcqXWDZK/t4a5lA6T7ht/Gd2kInkt4fAaaFFgixWhwfjtNTw0w5T1rK77fhhcHSfUNf/nWJ6bxc7vhhAw0K7BEypGEpZsrxvqh6enaDPr5zmn8nBx8IgMtdfSQDpExMtOpYs290gjZfx4Pn8xAqwJLZLQMaERXFWvCd0ozt824fUKan30mG3Y5IjGmjmtbezUxeMMbKr/ftMGUBhYeXfcPGhIZs2BwXmNc/6vZ4E16UrNI1GkhQRGJFcM1HaKWFn53YtgliMSeThVrbPy4dNgliMSeAY0anK+dG3/0GgCfOi6cJ1qLJIU6rhq6ScElMmbBcxXDrqK0RAWXiFSCq+MSkXgJlrWJNgWXiGzDzGiK+INhFFwi8jrquGrozh/sEnYJIrEXPBBWHVfNtLVF/f8TIvGQQsFVM3NvfBWAMz+1Y0+0FpGtM+ejHVyJalF+fMcGfnzHhrDLEIm9FFbWR1gS1XGJyNgZRqNF+/a5RHVcIjJ2wTyuynRcZjbFzO41s2Vm9oSZnVdi23eY2YCZHT3SftVxich2jLRVrKcZAC5w94fNrBNYamaL3X3ZNkc0SwPfAH5Rzk7VcYnINoKOq7z/RuLuL7j7w4XfbwCWA5OG2fQc4DbgpbJqdK/dPUlmthboAV6u2UHHZjzxqRXiVW+caoX41PtGd99pLDsws7sJ/rzlaAGGPn55nrvPK7LfXYH7gf3c/bUhn58E/BB4H3ADcKe731rqoDU9VXT3ncxsibtPr+Vxd1ScaoV41RunWiF+9Y6Fux9a6X2aWQdBR3X+0NAquBy42N0HrcyJrxrjEpGqMrNGgtC62d0XDbPJdGBBIbTGA4eb2YC7/6TYPhVcIlI1FqTR9cByd5893DbuPm3I9jcSnCr+pNR+wwiuYc9/IypOtUK86o1TrRC/eqPiYOBk4DEze7TwuUuBqQDufs2O7LSmg/MiIpWg6RAiEjsKLhGJnZoFl5kdamZPmdkKM7ukVsctV7FbE8ys28wWm9mfC7/mwq51KzNLm9kjZnZn4fU0M3uw8B7/yMwi89hwM8ua2a1m9qSZLTezv4/qe2tmnyv8HXjczG4xs5Yov7f1qCbBVZjOfzVwGLAPcIKZ7VOLY4/C1lsT9gEOAs4q1HgJcI+77wHcU3gdFecRzETe6hvAZe6+O7AOOD2UqoY3B7jb3fcG9ieoO3LvbWEy5LnAdHffD0gDxxPt97bu1Krjeiewwt1Xuns/sAA4qkbHLkuJWxOOAuYXNpsP/GMoBW7HzCYDHwauK7w24BBg64zjKNXaBbyH4LI47t7v7uuJ6HtLcLW91cwagDbgBSL63tarWgXXJOC5Ia9XMfz9SpFQuDXhAOBBYIK7v1D40hpgQlh1bedy4CJg6yOHxwHr3X2g8DpK7/E0YC3wvcKp7XVm1k4E31t3fx74FvAsQWC9Ciwluu9tXdLg/HZK3ZrgwdyR0OePmNkRwEvuvjTsWsrUALwdmOvuBxDcr7rNaWGE3tscQSc4DdgFaAcqfguMjE2tgut5YMqQ15MLn4uUIrcmvGhmEwtfn0iZd69X2cHAkWb2NMFp9yEEY0jZwukNROs9XgWscvcHC69vJQiyKL637wf+6u5r3X0zsIjg/Y7qe1uXahVcvwf2KFyZaSIY7LyjRscuS4lbE+4ATin8/hTg9lrXtj13/6K7T3b3XQney1+5+0nAvcDWRdgiUSuAu68BnjOzvQqfmgksI4LvLcEp4kFm1lb4O7G11ki+t/WqZjPnzexwgnGZNHCDu3+tJgcuk5m9G/g18Bj/O250KcE410KCWxSeAY5191dCKXIYZjYDuNDdjzCzNxF0YN3AI8An3H1TiOX9DzN7G8GFhCZgJXAqwf84I/femtm/AscRXGl+BDiDYEwrku9tPdItPyISOxqcF5HYUXCJSOwouEQkdhRcIhI7Ci4RiR0Fl4jEjoJLRGLn/wNqKcrjSSSZSwAAAABJRU5ErkJggg==\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(depth=(10., 80, 10),\n", - " width=(10, 80, 10),\n", - " strat=(1.48, (2.10, 2.25, 2.35), 2.40), # Floats in the wedge.\n", - " thickness=(1, 0.5),\n", - " mode='linear',\n", - " )\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "cb = plt.colorbar()\n", - "cb.ax.invert_yaxis()\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "outdoor-edmonton", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## Top and bottom conformance\n", - "\n", - "The layers in the wedge can also be top or bottom conforming, rather than proportionally adjusted." - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "id": "elementary-leeds", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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c4LeWZd3M/JhlWRZgeXueZVmjLcvqZFlWp2hiC1WsSKBc4hyXOJd3wyChvEo4C7W8QsEyq7xKUeF0Zn3q/BpjonGFcqplWfPcd18wxlR3P14duOifEkUkP5RXkdCizIo4y5ezPRhgHJBkWdYHmR5aBDzv/v15YKH95YlIfiivIqFFmRVxni9zfnsAPwb2GmP2uO97FXgLmGWMeRE4ATzjlwpFJD+UV5HQosyKOMyXsz18AZgcHk6wtxyR4BRJZKBL8InyKhI6eQVlVgScz2y+zvYgEq7am/hAlyAiPlJeRUKL05nV5Y1FREREJGyo8yvig6PWAY5aBwJdhoj4QHkVCS1OZ1adXxEfXOUiV3WmIZGQoLyKhBanM6vOr4iIiIiEDXV+RURERCRsqPMrIiIiImFDpzoT8UE0sYEuQUR8pLyKhBanM6vOr4gP2ppugS5BRHykvIqEFqczq2kPIiIiIhI21PkV8cFhay+Hrb2BLkNEfKC8ioQWpzPr6LSHSDIobT2wbXlpRHDPRNu2PJGcXOdKoEtwnN15BbhFDBhj6zJFslNe7XGfKFJNpK3LFPHG6cway7IcW1knY6wdjq1NJPgZ2GlZVqdA1+GN8iqSlfIqEjpyy6umPYiIiIhI2FDnV0RERETChjq/IiIiIhI2HD3g7UyLcrw6va9ty6t66AYJicm0Wn02xzY7a9Xnk/jBbKvbGIAHbe/max2xX5UoVI0iuXrrd4GuIEd257XYzYf0nHKY7lOPUOxOmtc2F0uVYUxcArPbxfEwSgezSpAJo7yaDItWK8+QMCqZKkdveW2TGhHJ3LZdGd0tgfNlytu27uzyu922WyD7AeH82gstl7w6esBb9ZblrZ/aGM5HqqXcIGFkEi3XncuxzbbaDfkkfjCbnqie5f68/mPt/uCF9AdJbJf01u+C9gAaf+W1+I2H9Jx8iO7TjhJ713sn+Hzpsozq1p95bbqSGqVr8UhwCMe8mnSLNitO0y8xmconbntt8zAyktlt4xjTLYGLpcvZXkN24dwhDOfXnl+55bVITHs437QsUz+KY9iMviT1qua1TZdTR5gybThThoynY8oJhyuUUHd+9XzOr54f6DKKhHtlY1j1Py15d+lANvy0MQ+LeZ5KqdqtG7y2ci7LR7/B9/ZsJjrdeydZxBvl1T5WpOGrx2ozdF4Cs4d05Ertkh5tYtLTeW7Xl6xIfIM/rZ5Ppds3A1CphDKnM1ukhlTONi/HlE+6UWvvVRISk2n6xQWPNt33H6X7/qN8Wa8Jw+IHs+2xKlkez75XY/fIsEaSQ9ODCzlPrZGCuVs+lhW/bcUXP25M/KSDxM08Rsz99Cxtqt+8zj+Xz+alzWtI7N6fRa06kxap845K7pRX+2VERbD7iTp89Y1atFt8in6jk6lwJuv2LDY9jZ/s2MgzezYzo30PxsX140rJ0rbXkn275/RoaPb1ObkdLqqv3enMFomR3+xOt67ApOHdGTmlNwe7VfHapsfxg0yf8jHj35pEm8OnHa5QRB65UzGW5b9rzXtLBvLFjxqSGuv5Z6nWjasMWTaLxWPe4tt7txOZke5lSSLibxlREex6si4fLBzA3Nfac62GZ+enWFoaL2zfwMqRQ/j9us8of9f7dAmRQClSI7/ZnWpTgYmJPai76zIJick02nrJo03vrw7R+6tDrGvYguHxg9g9KPdl5ndkODu799LsXJ5GkSWQblcqxtL/a8PGF5rQe1wKXeYcJyo1I0ubOtev8OaS6fy/TasZ2WMAS1p0ICOiSO7DiwS1jOgIdj5Vjz1P1KHDwhP0HZNCufP3srQpnpbKi1vX8YNdXzK1Y0/Gd+3LjeKe0yYKK5hGQ53ejgbTa4fQ6UeExVbjRIdKjB/dk9Hj4znaqZLXNn2PHGDOxA9JfH8qzY/nfOCciPjXrcrFWPyntry3ZCBbnq1PWpTn5ZDrXbvE24unsWjsOzx2YBcRGRleliQi/pYeHcH2p+vz/mcDWPhqW25ULubRpkTqQ17aspbVI4fw68+XUvbenQBUKvIfRXrkN7vjHSsxdlw8DbZdov+IJOrt9ryW9IAdSQzYkcTKJq0ZFj+Yw5Wznh0ir72qvPZ6nD67RH74e92hskfoTUyFyoEuIezcrFqcRa+2Y8NPm9B3TAodF54gMi3r2WkaXL3Ie4s+5RebVjG85yBWNm2DZcJin15yobw6Lz0mkq3PNmDnk3XpPPc4vcelUObygyxtSj58wC82rea5nV8wuVMvJnfuza1ixW2vJZCjoYEeCQ2mkeD8vHanM1skTnVWIJZFw62uTnDdr656bZKBYUWztozoOZAjlVxnkShs5zcvgT6NiT+FcufXX8Lx1EkFVe7MHfqOTaHDwpNEpnv/u5VSuTojegxkddPW6gSL7ZRX30XdT6fr7GP0Hn+QUlcfeG1zI7Y4k7r0ZkqnXtyJ9Rwxtksgt6uB3u6F82vPLa/h2/l9xLJovOki/YcnUXv/Na9NMjAsa96OET0Hcqxi1SyP+bsznJei3FnOS6CDZQdtTPOvwqnb9B2dQrslp3LsBCdXqcGwnoNZ27glGM9pEyIFobzmX/TdNFcneMJBSl576LXNjWLFmdClL5927MldP3aCHwnnDmE4vfYif57fQjGGQz2qMnJqbyZ90o3TLcp5NInA4vGk3Swa+w5vfTaVulc9D5yTou3cslmcWzYr0GUIcLV2Keb+uyMfze/Prm/WJsPLX7FmF88ybN54Zk/8kN6H94ODO/kSeMpr8EgtEcUXzzfm3aWDWP6bltwt63nlxrL37/Hbz5eyKvF1frZlLcUfeh8plqLL6cyG1ZzfXBlDSq9qpMRXpdmG8/QfkUSNlBtZmkRaFt/av5PHD+xiUctOJPYYwKmvsh5Al32vyt8jw8E8h9jfnDzTxUPt8ASdK3VLMef1Tqx/qSn9RiXTZtlpIrL1cVteOM3IOeP4unpthvcczMYGzTQSHAaU1+DzsEQUn/+sCVuerU/3aUfpOfkQJW6mZmlT/t4d/rB+MT/dtp5xXfsxo0N37kfH2F6L5gT/R7C8dqczq5Hf7IwhuU91hs/oy6cfdOVc4zIeTSIti+/s286S0W/xr6UzqXHd+5xhEfG/y/VKM+vNzgydl8DXg2qS4aVv2+bcKUbNHsP0KUPpfixFI8EiAfKwZDTrX2rKu0sHseq/m3OvtOdIcMW7t3ll3SJWJr7Oj7dvIDbV+3QJkYLSyG8OrAjDgYQaJPWtTss1Z0kYmUTVI7eytImyMnj66618e9925rfpwqhuAzj3VfksbfLaqwr0yHB+ainK8nrtGQvTfWongXOpQRlmvNOFqi/dpN+oJFqv8rxiUNuzJxk7cxQ7mtbho6cT2NyygUaCiyDlNfg9KB3Nuv/XjM0/aECPT4/QY+phit3OehnzSndu8ec1C3lx6zrGxCUwu10cD6M8O8uFFayjoU4IltfudGZ9Hvk1xkQaY3YbYxa7b9c3xmw1xhw2xsw0xtj/3UQQsCIM+wbU5OM5CUx/uzMX65fyaBOdkcEze7awfNQb/G3FHKrevO58oSKZhGteAS40LsP097ry8ax+7O9X3WubTikn+fT1CUz99zi6HDjmcIUiWYVzXu+XiWHNfzfn3aWDWPdSUx6U8ByTq3L7Jn9ZPZ/lo97g+7u+JDotzcuSRHyXn5Hf3wBJwKN5AG8DH1qWNcMYkwi8CIy0ub6gYUUY9g6uxb4BNWmz/DQJiUlUOpn1RN3RGen8YPcmvvv1Vma37cbobglc+qpsrsvN78iwP/cKw3n+cF5i6nrvRAWxsM4rwPmmZZn6YRzVk67Tf2QSzTec92gTl3ScuH+PY3OL+nz4vQR2NqvnfKFiO+U19NwrG8OqX7Xgy+ca0nPyYbpNP0LsvayXMa926wZ/XzmXl7asIbH7ABa07kxqpP1fYAfLaKi3WvwtUK/d6cz6dKozY0wtYBLwOvA74AngElDNsqw0Y0w34B+WZeV6ceBgPRVLQUSkZdB22Wn6jUqm4invV6u5HxXFzHbdGRfXj8ulPOcOQ/4/WIE8TUo4d3795egP/mr7qZOUV+9q7rtGQmISzTZeyLHNxtYNGfp0Arub1HGwMgkVyqtzSl59QPzEg8TNPEbM/XSvbU6XrUBi9/4satWZtMhIv9USTqcHyy6Ut/u55dXXXaaPgFeA0u7bFYHrlmU9+u7hNFCzMEWGmoyoCHY/UYevBtei/eKT9B2dQoWzWT8kxdLSeH7H5zyzZzMzOvRgXNe+XC1ZOkub/O5lBfK8wvlddiiHJsR9hPLq4Uyr8kwe1p1aX1+l/4gkmmy+6NEmfu8R4vceYUPbxnz0dAJfN6oVgEolzHyE8urhToVYlv+uNV8835he4w/SdfYxoh9kvYx5rRtXGbJsFi9vdo0Ef9aqI+kR9neCNRL8H0Vlu57nnF9jzDeBi5Zl7SzICowxLxtjdhhjdty9VvTO3ZcRHcHO79Tjw0UDmPf3dlyr7nmpxuJpqfx023pWJr7O79Z9Rrm7twNQqRTGxWGzuThsdqDLyJPymrfTbSowMbEHiRN7cbir90tq9v7qEPP/lsiYd6bQ8pjngXMS3JTXouN2xWIs/b82vLdkEJt+2JDUGM9uS53rV3hj6QwWj3mbJ/btICIjw8uSJJg5nVlfRn57AN8yxjwGFMM1J2koUM4YE+XeO60FnPH2ZMuyRgOjwfW1jC1VB6H06Ah2fLc+u79Vl47zT9BnbArlLtzL0qZE6kN+vnUdP9i9iakdezKhSx9uFC+ZpU1h97ICfcW5/KwrlPYg067eyLtRcFBefXSyfUXGj+5JvZ2X6T8iiQY7Lnu06bc7hX67U1jVqTlDv9uPpHohN5c0LCmvRc+tysVY/Mc2fP5CY3qPO0jneceJSs3aya177TJvL57G/9u0mpE9BrCseXsyIuw/o6tGgv/DrtfudGbz/FRYlvVny7JqWZZVD/g+sNayrOeAdcDT7mbPAwv9VmUISY+OYNsz9Xl/8QAW/bktNyp7Xqqx5MMHvLx5DatGDuFXny+jzP3Q6QRKcFNe8+94x0qMHRfP2DE9Od6+otc2A3YksfjPwxn+4TSanPQ8cE6kIJTX/LtZtTifvdqW9xcPYOvT9UiL8jxVYYOrF3n3s6ksHPcug5P2YCyNBEtWhTlM8o/ADGPMEGA3MM6ekoqG9JhItny/ATuerEuXucfoNf4gZS5n/Vqq1MMH/PemVfxo50Ymd+7N5E69uF0s67QJu/eyMj8/0BPpNYfYUcprHo52qczozpVouPUS/UckUfcrz4vXDN52gMHbDrCkays++W5fDtWuGoBKJQwor3m4Ua0EC//Wng0/a0LfsSl0WHSSyLSsg98Nr1zgg4WTObipGsN7DGJ109ZYxr8jwU5vp4rqSLC/5avza1nWemC9+/ejQBf7Sypa0opFsum5Rmx/qh5dZh+j94RDlLqatRNc5sF9fvXFCn68/XMmdunDp53iuRPrOWIskh/KawEYw5G4KhzpWpnGmy7Sf0QStfdd82j2+NZ9fGPbfpbEteLj7/bjaE3vc4dFfKW8Fsz1miWZ/1oH1r/YlL6jk2m/+BSR6Vk7wU0unWfogkkkV6nB8J6DWNO4lS5uE+Z0hTeHpBaP4sufNGbb0/WJm3WUXhMPUfJa1ks2ln1wj99sXMbz2zcwoWsfpnaM525MbJY2ds6jDab5wb4I5BziYo116quwYgyHelTlUPcqNPniAv1HJFHrwPUsTSIsiyc27+WxLfv4rHsbPvluX45XrxSYeiUL5TX8XKtVknn/6sj6nzel3+hk2i05RUS22Q7NLp7lk3kT2F+1FsN7DmJ9oxa2d4IDPRIaTCPB+XntTmfWp/P82qWonYewMGLuptFt+hHiJx2ixI1Ur22uFi/J+K59md6hB/eydYJzYmfQgq3zm5dQ+bolM3+cN9QuymsmlkWzDefpPyKJGineD8xIN4YF8e0Y9lQfTlb1PndYQpvyGjoqHb9Fv1HJtFl2mogcujl7q9VmePwgPm/Q3G8jwYHeLoXztQFyy6s6vwEWezuV7tOO0HPyYYrf8t4JvlKiFGPj+jGzfXfuR+fvKpf+/PCFWuc4u0AHE7QxDTmWRYu150gYmUT1Qze9NkmLiGBer3YM/04fTlep4Gx94lfKa+ipcuQm/UYl02rlmRw7wV/VqMMn8d9gU70mfp8OEejtTjh1hnPLq/0zvyVfHpSKZt3LzXhn2SBW/1cz7pfynIlS8e5t/rh2ESsSX+dH2z8nNvWhlyWJP53/cBrnP5wW6DIk0IzhQEINhs3qx7T3unChYWmPJlEZGTyzfherf/cRr49ZQI1LnnOGxb+UV3nkYsMyzHinCx/PSWDvQO/XCml79iRjZ45iytRhxB0/CA4OCoqL05nVnN8g8aB0NGt/0ZxNP3Rd17z7tCMUu5OWpU3lO7d4dc0Cfr51LaO7JTCnbRwPo6JzXa4/5x8Fem5RYeVWb/bXlnEr8KPEEjysCMO+ATXZn1CDVivPkJCYRJVjWS9eE52ewffX7uCpDbuZ3bcjI5/sxbmK5QJTcJhRXiW7i43KMP3dLqx76QYJI5Joue6cR5uOp48xfkYi22s34JP4weyo08j2OsJ5TnBur93pzGrkN8jcLxPD6l+14N2lA1n/YhMeFPe8VGOV2zf566r5LB/1Bs/u+pLotDQvSxIRf7MiDHsH12Lo3P7MfKMTl+uU9GgTk57Oc6u3sea3H/LahM+oetX7dAkR8b/zTcoy9aM4hs3oS1Lval7bdD51lMnTRjB+2gg6njrqcIXiBI38Bql75WJZ+euWfPHjRsRPOkS36UeJuZ+epU21Wzd4beVcXtqylsTu/VnQugtpkblf19yf5yMMtbNH5CZ7rRG3I73eLwJgRRq+erw2ewfVpO2y0/QblUzFU3eytIlNS+cnK7fy7JqdzGzfjbFxCVwuVSZAFRdtyqvk5Wzzckz5uBs1910jITGJZhsveLSJO3mYuKnD2FSvCZ/ED+armvVsr0MjwS5OZ1Yjv0HubvlYVvy2Fe8uHcTGnzTiYTHPzm2Nm9f41/LZLBn9Jk99tZWo9HQvSxIRf8uIimD3E3X4cEF/5vyzA1drev4hj01P4yc7NrIi8XVeWbOQinduBaBSEQE406o8k4d1Z8SU3hzsXsVrm+7HDzJ9yseMmjWa1mdPOFyh+INGfkPEnYqxLPt9azY+35je4w/SZfYxoh9mPYlh7RtXGbJsJi9vXs2IHgNZ0rID6RE5jwQ7fd7cUB4ZLlGvcaBLkBCSERXBrifrsufx2nRYdIK+Y1Iof+5eljbF01J5YfsGntmzmekdejC+a1+ulSgVoIqLFuVV8ut0mwpMHNmDOnuukDAyicZbLnm0iT+aTPzRZNY3bMGw+EEcqFbb9jrCdSTY6czqVGchqvTFe/QZd5DOc48Tler9uuXHy1dmZI8BLGnRgYyI/A/yOx26YO78+kvSW7/TqZPCQGRqBh3nn6DP2BTKXbjntc3d6Bg+7RTPhC59uFHcc+6wBJ7yGj7q7bpM/+FJNNhxOcc2axu1ZHjPQSRVq+W3OsL51GiFlVte1fkNcWUu3KPP2BQ6zTtOVJr3/8ujFaowvOcgVjRrW6BO8CPqDNtPG9PwEvkwnc7zTtB7bAplL9332uZ2TCxTOvViUpfe3CxW9DMQSpTX8FN/+yX6j0ii/q4rObZZ1aQ1w3sO4mCVGn6vR51h3+WWV835DXE3qxZn0V/a8f7igWx9uh7pUZ4n6G5w9SLvL5rCgvHvMih5D8byPlIsOTs5azQnZ40OdBkS4tJjItny/Qa8v2Qgn73ShpuVPK/cWOrhA/5r0ypWjRzCLzcup/R97yPFkjPlVexyrHNlxoyPZ9zoHpxo5/2iNQMO7mXB+Pf4cP4kGl0673CFRYPTmdWc3yLiRvUSLPxbezb8rAl9x6TQYdFJItOzjgQ3unyBDxdMJqVydYb3HMSaJq2wjO/7P07PRQqmOcJWqver74kURFpsJJufa8iOp+rSZfYxek84RKmrD7K0Kf3gPr/8ciU/2rGRSV16M6VTL+7EFgtQxaFFeRVbGcORrlU40qUyjTZfZMDwJGrv87x4zaCUrxiQ8jXLmrdjZI+BHK1U1fZSiuqcYKczq85vEXO9Zknm/6MDG15sQt/RKbRffJKIbAO9TS+d4+P5E0mqUpNh8YNY16hlgS7pGGwhzC6Uvp6R8JRaPIovf9KYbU/XJ27WUXpNPETJa1mv4Fj2wT1+vXE5z2/fwPiufZnaoSd31QkWcZ4xHO5elcPdqtDkiwv0H5lErf3XszSJwOLxpN18I2kPS1q2Z0SPgZyo4P0sEnYItu1wqGx3Ne2hiLpauxRz/92RDxcMYPfjtcnw8j/d/OIZhs8dz6xJH9Lr8AFd0lEkQFJLRLHxhSa8u3QQy3/dgrtlPa/cWPb+Pf53w1JWJb7Oz7aspfjDB16WJCJ+ZwwH46sxYmofJg+N40yzsh5NIrB4Yv8uFo95mzcWT6PONc+zR0jgaOS3iLtStxSz3+jE+pea0i8xmdYrThORrY/b6vxpEueM5evqdRjecxAbGzSzZSQ4O+2RiuTuYYkoPn+xKVufbUC36UeJn3SI4reyfh1Y/t4d/rB+MT/dtp5xXfsxo0N37kfHBKhikTBmDMl9qpPcuxrN152j/8gkqh/MegXHSMviyX07+Ob+XSxq1YnEHgM4Xa6i30oKppHgYN7mauQ3TFyqX5qZb3fm4zkJ7B1Y02ubNudOMmr2GKZN+Zjux1I0EpxJqUYtKNWoRaDLkDDxoFQ0619qyjvLBrH6v5pxr7TnSHDFu7d5Zd0iVia+zo+3byA29aGXJYUn5VUcZQxJ/WowbGY/pr3XhQsNS3s0ibIyeGrvNpaMfpN/LptJjRtXA1Bo8HI6szrVWZiqeugGCYnJtFp9Nsc2O2vVZ1jPwWyt26hAI8F5CfQpWzIL1B6qTp0kvih28yE9pxym+9QjFLuT5rXNxVJlGN0tgTlt43gY5dlZlsJTXsUXJsOi1cozJIxKpspR71dwTI2IZG7brozulsD5MuUdqy2Q212nt7M61Zl4uNC4LNPe78rHs/qxv291r206nj7GhBkjmThtBB1PHnG4QhF55H6ZGFb/sgXvLhvEup834UEJzxlrVW7f5K+r5rN81Bs8u+tLotO8d5JFxL+sCMPewbUYOieBmW924lJdzys3Rmek8/3dm1g+6g3+snIuVW5dd77QMOboyG+ntsWsbSvsvxzgXy+2tn2Z4abGgWskjEym+ec5n6NwS93GDOs5iF21G/ilhmAaCc7u/CsTAKj73C9tXW4wjyQpr8GrxLUHxE86RLfpR4m5n+61zbky5UjsPoAFrTuTGhleh3ecmDocUF7toLwWXkRaBm2WnSZhVDIVT93x2uZBZBSz2nVjTLcELpcq41htwTIS7I/MauRX8nS2RXmmfNKN4VP7kBzv/dyEcScO8enUYYyZkUjbM8edLVBE/n93y8ey4reteHfpIDb+pBEPi0V6tKl+8zr/XD6bpaPe5KmvthCV7r2TLCL+lREVwZ4n6vDhgv7M+WcHrtb0/Po/Nj2NH+/cyMrEIbyyZiEV73ifLiH2KBIjv49oD9U+tb++SsKIJJpsvphjm40NmjGs5yD21qjrlxqCaST47L/GAlDj7z+3dblHf/DXsBtJekR5tU+py/fpNeEgXWcfI/qB9ys4nqhSnuFP9WVBz7akR3p2losS5dV+yqt9IlIzaP/ZSfqNSaH8We/buXtR0Uzr2JPxXftyrYTntAl/CdR21x+ZzS2vGvkVr061qcDExB4kTuzF4a6VvbaJP5rMzMlDGT57LC3On3K4QhF55HalYiz9vza8t2QQm37YkLRozz/tdS9e453Eeaz8w8d8e+MeIjJ0mXORQMiIjmDnU/X4YNEAFvy1HderFfdoUzwtlRe3rmPVyCH87/rFlL3nfbqEFEyRmgg2pMreLLe1p1p4J9tXZPzontTbeZn+I5JosOOyR5u+Rw7Q98gB1jRuxfCeg0iu6v1UavkV6PMVin8pr/a7VbkYi//Yhs9faEyfcSl0mnucqLSs3+7VO3+FD0bM4ZcL1vPJU31Z0q01GREaB5HcKa/2S4+OYNv36rPz23XoPO8EvcemUPbS/SxtSqQ+5KUta/nhri+Z0imeSZ17c6N4Sb/VFC7bXf3FE58c71iJsePiGTumJ8fbez9Bd8Khfcyb8D4fzp9I44s5n0ItFJWMa03JOP2xl9Bws2pxFr3ajvcXD2Tr0/VIj/I8VWHDs5f5aNhslrwyjG9s2YcpQiPByquEkvSYSLZ8vwHvLxnIZ39sw83KnpcvL/nwAb/YtJqVia/zy43LKX3/XgAq9R+nM1uk5vzmRXuqNrEsGm69RP8RSdT9KucTdS9r1o4RPQdypFI1R8oKxT3UcJ5DmBfl1T7lztyh75gUOiw6SWS697/5ybWrMvTpfqzq1BxLI8FeKa85U17tE3U/nS5zjtF7/EFKX/F+GfMbscWZ1KU3Uzr14k6sZ2fZX0JpO6s5v2IvYzgSV4VRk3oxYUR3TrXyfoLubyTvYeHYd3ln0RTqX7ngcJH2ynjwkIwHuoKWhKbrNUsy/x8d+GDRAHZ8uw7pkZ4jwc1OXWDkh9NZ+OpIBmw/ENJXeFReJZSlFYtk048a8d6SgSz9XStul/e8fHnZB/f49cblrBo5hJc3rabEg/telhQ6nM5sWI38Zqa9VBtZFk03XqD/iCRqJl332iTdGJa06MDIHgM5UcH7AXR2s3MPVUePB5byaq+KJ27Td3Qy7ZaeIiKH2Q776tdg6Hf7sbZDU79c4dGflNfAUl7tFXM3ja4zj9Jr4iFKXvfeQbxWvCTjuvZleoce3IuJdaw2u7azOtuDhB5jSOlVjeHT+zB5aBxnm5b1aBJpWXxr/04+G/M2ry+eTu1rngfOiYgzrtQtxZzXO/HR/P7seawWGV76tq2OnWXMe58y72+J9N5zMKRHgkVC2cMSUWz8aRPeXTqQlb9qwd0ynpcvL3/vDn9Yv5iVia/zwtb1FEvVNx+5KVJne8gPHbnqB8aQ3Kc6yb2r0WLtORISk6h+8GaWJlFWBt/Zt50n9u9kQevOJHYfwNlyFfxSTrgctRoOlFf/uFyvNLPe7Mz6nzel36hk2qw449Gm7ZEzjH97Mrsa1+ajpxP4snXDkBsJFmcpr/7xsGQ0619qyubvN6DH1CP0+PQwxW+lZmlT8e5tXlm3iJ9tW8eYuH7MateNB9Ge0ybsEqrbWZ9Gfo0x5Ywxc4wxycaYJGNMN2NMBWPMKmPMIfe/3id+SvgxhgMJNRg2sx/T3uvChYalPZpEWRk8/fVWlo1+g38sn0X1G9cCUGjRpLxKfl1sWIYZ73Rh6Jx+7Otfw2ubDodOMfnNicz85xi67TuikWAbKbOSHw9KR7P2F814d+lA1vyiGfdLeY5jVrpziz+vWciKUW/w3I6NxKSlellS+PJpzq8xZhKw0bKsscaYGKAE8Cpw1bKst4wxfwLKW5b1x9yWE0xzkvKiPVX7mAyL1ivO0G9UElWO3fbaJjUikjltuzK6W38ulCnnSF352UMNpTmEyqsUVrWUGySMTKLlunM5ttnSvB5Dn05gW4v6Dlbmm1DKK9iTWeU1fBW/8ZCeUw7TfeoRYu+meW1zvnRZRnXrz7w2XUmNcuZL/0BvYws159cYUxboBYwDsCzroWVZ14FvA5PczSYBT9pRrBQ9VoTh62/UYujc/sx8oxOX63ieoDs6I50f7N7EilGv8+qqeVS+dSMAleasdO8OlO7dIdBl5El5FTucb1qWqR/F8cmMviT19n6qwrik40z/9zimDBlPx+TjzhaYh1DJKyizUnj3ysaw6lcteHfpQNb/rAkPintevrzarRu8tnIuy0e/wff2bCY63XsnOVCczmyeI7/GmHbAaOAA0BbYCfwGOGNZVjl3GwNce3Q7J6G0Z5qd9lTtE5GWQdulp+g3KoWKp71fsvF+VBSz2nVjbFwCl0uVcbhC5+Yt2T2SpLy6KK/2qrnvGv1HJtH0i5xPWbixdUOGPp3A7iZ1HKzMWX76pqYdNmRWeZVHSl55QPykg8TNPEbM/XSvbU6XrUBi9/4satWZtEjPzrI/OD0fuLBne4gCOgAjLctqD9wB/pS5geXqQXvtRRtjXjbG7DDG7Lh0xft/goSXjKgIdn+rLh8u6M/cf7Tnao0SHm2KpaXxkx0bWZH4Oq+sWUjFO7cCUOl/pN+8Q/rNkLi2uvIqtjvTqjyThndn5JTeHOxWxWub+L1HmPPaaMa/NYk2h087XGFWIZRXKERmlVfx5k7FWJb/rjXvLRnIFz9qSGqsZ1ev1o2rDFk2i8Vj3uLJr7cRmRHYz4/TmfVl5LcasMWyrHru2/G4gtkI6GNZ1jljTHVgvWVZTXNbVijvmWanPVX7RKRm0GHRCfqOSaH8Oe+XbLwbHcO0Dj0Y37Uv10uUcrhCOLbwYyD45xAqr94pr/aqs+cKCSOTaLzlUo5t1nRoysff7ce+BjUdrMwllOb82pVZ5VVyUvrSfXqPP0jnOceIfuj9xN4nyldiRI+BLGnRgQyHrvCYeSQ46Ob8WpZ1HjhljHkUugRcX88sAp533/c8sNCGWiUMZURHsOO79fngs4Es+Es7rlct7tGmROpDfr51HasSX+e3G5ZQ9l7IjOo4SnkVJ5xsV5EJo3oyekI8RztV8tomYVcKC/8yksT3p9L8eM4HzoU7ZVb87VblYiz+YxveXzyQzc82IC3as+tX99pl3l48jUVj3+Hx/TuJyMjh6jdFhK9ne2gHjAVigKPAT3F1nGcBdYATwDOWZV3NbTlFac80O+2p2ifyYTqd5x6n97iDlL3k/ZKNt2NimdKpF5O69OZmMc9pE3Y7MXU4AHWf+6Wty01663f+mkOovOZCebVXg22X6D8iiXq7r+TYZmWT1gzvOYhDVbyfSs1OoZRXsCezyqv4quz5u/QZk0LHBSeISvPeBzxSsSrDew5kRbO2WMb/I8H+yGxuefXpfBeWZe0BvC0goRB1iXiVHhPJlh80ZMd36tFl7jF6jT9ImcsPsrQp9fAB/7VpFc/t3MiUTr2Y3Lk3t4p5jhiHI+VVnHa0S2VGd65Ew62uTnDdrzz7aAMP7mXgwb0sb9aWET0Gcbiy97NIhCNlVpx0o1oJFv6tPRtebErfMcl0WHSSyGyd4IZXLvDBwikc3LSKET0Gsappa0c6wU4J2yu82U1XtLFfWrFINj3XiO1P1aPL7GP0nnCIUlezdoLLPLjPL79cyY92bGRilz582imeO7HFAlSxhArl1Q+M4UhcFY50rUzjTRdJGJlEnb2eF68ZnPwVA5O/ZlnzdozoOZBjFasGoFgJJcqrf1yvUYL5r3Vg/YtN6Ts6mfaLTxGZnrUT3OTSeT5aMInkKjUY3nMQaxq3KhJXeFTnV4JeavEovvxJY7Y9XZ+4WUfpNfEQJa9lvW552Qf3+M3GZTy/fQMTuvZhasd47sbE2lZD+Q7dbVuWSJFmDId6VOVQ9yo0+eIC/UcmUWv/9SxNIrB4PGk3g5P3sKRFB0b2GMCJCt7PIlEQyquI767VKsm8f3V0XeZ8dDLtlpwiItuU32YXz/LJvAnsr1qLYfGD2NCwha2dYKcz69OcX7sU5TlJedGeqn1i7qbRbfoR4icdosQN75dsvFq8JOO79mV6hx7cs7ETbDd/zSG0g/IqtrAsmm04T/8RSdRI8X7xmnRjWNSyE4k9BnCqvPcD6IKB8hqclFd7VTp+i36jkmmz7DQROXQRv65emxE9B/F5g+ZBOxKcW16LzgQOCRsPS0Sx4cWmvLt0EKt+2Zx7paM92lS4d4c/rF/MisTXeWHreoqlPvSyJN+l3rxG6k3Pr3BFJA/GkNynOsNm9uXTD7pyronnRWsiLYvv7NvOktFv8e+lM6h5PecD53yhvIoU3OV6pZn1ZmeGzkvg60E1yfDSt21z7hSJs8cyfcpQuh9LgUIOpDqdWY38Boj2VO0TeyuVHlMP0+PTIxS/5X0k+FLJ0oyJS2BW+248jPLsLOcl1I4et4Py+h/Kq31MhkXLNWdJGJlE1SPeL16TGhHB/NZdGN29P2fLVsj3OpTX8Ka82qvK4ZskJCbRetXZHNvsrFWf4T0HsaVu4wKNBDt9tgeN/ErIe1A6mrW/aM67Swey9qWm3C/pOZW98p1bvLpmASsSX+eHOzcSnRZc1zUXCRdWhGHfgJp8PCeBGW915mJ9z4vWRGdk8MxXW1g26k3+vmIO1TSKKxIwFxuVYfp7Xfl4dj/2963utU3H08cYPyORSdOG0/nEYYcrzD8d8BYgOnrVfvfLxLD6Vy348kcN6TnlMN2nHiH2XtZLNla9fZO/rprPi1vWMbpbAvPadCU1SjGQ3Cmv9rMiDF9/oxZ7B9akzfLT9BuVTOUTt7O0ic5I5/u7N/HU11uZ3bYbo7slcKl02QBVLKFCefWP803KMvWjOKonXSchMYkW6897tOl86iiTpo9gS51GDI8fzM7aDQJQad408itFzr1ysaz6n5a8u2wQG15ozMNikR5tqt+6zmsr57Js9Js8vWczUemBva65SLiyIg1fPV6bofMSmD2kI1dql/RoE5OeznO7vmBl4uv8afV8Kt2+GYBKRQTgXPNyfDq0G8On9SE53vupCuNOHmbK1GGMnZFI2zPHnS3QBxryChLaU7Xf3fKxrPjfVnzxk8b0mniQrrOOEXM/aye3xs1r/Gv5bF7avIZR3QewqFUn0iI9O8simSmv9suIimD3E3X46hu1aLf4FP1GJVPh7N0sbWLT0/jJjo18b88WZrbvzri4flwpWTpAFUuoUF7940zL8kwe1p1aX1+l/8gkmmy66NGm+/GDdD9+kI0NmjG85yC+rlE3AJV6UudXirw7FWNZ9vvWbHy+Mb0mHKTr7GNEP8h6EsPaN64yZNlMXt68mpE9BrK4ZQfSI/7TCa7QpY/DVYuEp4yoCHY9WZc9j9emw6IT9B2TQvlz97K0KZ6WygvbN/DMns1M79CD8V37cq3Ef+YOK68izjndpgITR/agzp4rJIxMovGWSx5t4o8mE380mQ0NmzOs52D2V896cKbTmdXZHkKE9lTtU/riPXqPP0iXOceJSs3w2uZ4+cqM7DGAJS06kBHhv9lBOnq8aFJe7ROZmkHH+SfoMzaFchfueW1zNzqGqR17Mr5rX24U95w2YRfltWhSXu1Vb9dlEkYk0XD75RzbrG3UkuE9B5FUrZbf6tDZHkQyuVWlOIv/1Jb3lgxky7P1SYvyPC1LvWuXeHvxNBaOe4fHDuwi9dJ5Hlzx/EpHRPwrPTqCbc/U5/3FA1j4altuVPa8fHmJ1Ie8tGUtq0cO4X8+X0bs2ZPKq0iAHO9QiXFj4xkztifHOlT02qbf4f3MnfgBQ+dNoMnFszy4ctHRzGrkN0RpT9U+Zc/dpe+YFDouPEFkmvc8HIiKZkKpMtzu/6St606cM04jSWFAebVP1IN0Os85Tu/xKZS5/MBrmxsmgvGlynB0wHdIs/GbG+U1PCivNrIsGm67RP8RSdTdczXHZvOLl+Sz4iWJ7feEbavOLa/q/IYohdN+5c7coe+YFDosOklkujO5MKCNaRhQXu0XdT+drrOO0nvCIUpd9d4JtpvyGh6UVz+wLBptvkj/EUnU2evMebtzy6s6v0WEwmqfCqdu03d0Cu0XnyTC+5Rg22hjGp6UV/tE300jbtZRek08RMlrhbuMeV6U1/CkvNrIsmjyxQX6j0yi1v7rfl1VbnnVnF+RbK7WLsXcf3fkwwUD2P14bTKUEpGglVoiio0vNOHdpYNY/usW3C2b/8uXi4hDjOFgfDVGTO3D5KFxnGkWmIvWaOS3iNKeqn0qH7tF6Ze/oP6DdGq2qWDrsptvvKCRJFFebRR7O5XIZ9fS6XYa9VqXt3XZyquA8mory6L5unOU/PceyqZn2LqNzS2vOs+vSB4u1S/Ntn93BKB+XBV7F952vr3LEwlzD0pFc+xv7dmP8ioS9IwhqV8NjpVwdUdtzWwueVXnt4jSFW3sZftGVCQT5dVeyqv4k/JqP6czq9mMIj64kHydC8nXA12GiPhAeRUJLU5nViO/YSLznqr2UvNv9buu9++5cfEBrkTCgfJaOMqrOEl5LTynM6uRXxEREREJGxr5DUOaryQSOpRXkdChvIYGjfyKiIiISNjQyK9oT1UkhCivIqFDeQ1O6vyK+KD3/7QIdAki4iPlVSS0OJ1ZRzu/Z9KK+2WvJ/uelRSO9lQ91WpXMdAlOE55DQ3Kqyfl1T7Kq72UV++czqzm/Ir44PSeK5zecyXQZYiID5RXkdDidGaLxLSHR3tO2kP1D+2pwoZPDgA6b6gdlFf/Ul6VVzspr/6lvLo4nVmN/IqIiIhI2CgSI7+PZN9j0p6qf2hPVeygvDpDeRU7KK/OUF6d4dPIrzHmf40x+40x+4wx040xxYwx9Y0xW40xh40xM40xMf4uVkTypryKhBZlVsRZeY78GmNqAr8GWliWdc8YMwv4PvAY8KFlWTOMMYnAi8BIv1abT9pTdYb2VIOH8ip5UV6DS6hmVnl1hvLqH75Oe4gCihtjUoESwDmgH/BD9+OTgH8QRMEUsVP//wupPzjKq4S1EMsrKLMS5pzObJ6dX8uyzhhj3gNOAveAlcBO4LplWWnuZqeBmt6eb4x5GXgZoEz14nbUXGCZ95i0l+o/RXFPtWqzcoEuwSfKq+SX8hpYhcms8hp+imJewfnM5jnn1xhTHvg2UB+oAZQEBvu6AsuyRluW1cmyrE4lyscWuFCRQDq25SLHtlwMdBl5Ul5FQievULjMKq9SVDidWV+mPfQHjlmWdQnAGDMP6AGUM8ZEufdMawFn/Fem/TRfyTlFYU9105gUAOrHVQlwJXlSXqVQlFfHFbnMKq/OKQp5Becz68vZHk4CccaYEsYYAyQAB4B1wNPuNs8DC/1Toojkg/IqElqUWRGH+TLnd6sxZg6wC0gDdgOjgSXADGPMEPd94/xZqL9pT9U5RWVPNRgpr2I35dW/wiGzyqtzlFff+HS2B8uyXgNey3b3UaCL7RWJSKEoryKhRZkVcVaRusKbnbSn6hztqUphKa/OUV6lsJRX5yiv3qnz6yOF1TnBGNbBf2sX6BIkH5RX5yivUljKq3OCMa/gfGbV+RXxQcV6pQNdgoj4SHkVCS1OZ1ad3wLSnqpzgmFP9dD6cwA07lPd8XVL4SmvzlFepbCUV+cEQ17B+cyq8yvig21TDgPamIqEAuVVJLQ4nVl1fm2iPVXnBMueqoQu5dU5yqsUlvLqnHDJqy8XuRARERERKRI08usn2lN1TrjsqYr/KK/OUV6lsJRX5xTVvGrkV0RERETChkZ+HaI9Vef4Y0/1idc7FnoZEjqUV+cor1JYyqtz/DUS7HRm1fkV8UGZaiUCXYKI+Eh5FQktTmdWnd8A0Z6qc+zYUz2w/DQALQbXsqUmCS3Kq3OUVyks5dU5do0EO51ZdX5FfLB79jFAG1ORUKC8ioQWpzOrzm+Q0J6qczK/t0XlyFVxlvLqHOVVCkt5dU6o5FVnexARERGRsKGR3yClPVVnFNVzGIqzlFdnKK9iB+XVGcGcV438ioiIiEjY0MhviNCeqjNy2lP9zntdAlGOhCjl1RnKq9hBeXVGbiPBTmdWnV8RH5QoHxvoEkTER8qrSGhxOrPq/IYo7ak649H7OnHmTQBeeLaMrct/09alSbBSXp2hvIodlFdnZH5f/ZHZ3PKqOb8iPpg88yaT3eEUkeCmvIqEFqczq5HfIkJ7qiKhQ3kVCR3Ka9GjkV8RERERCRsa+S2itKcqEjqUV5HQobyGPo38ioiIiEjY0MhvmMi8p6q91Pxb/GmNQJcgYUR5LRzlVZykvBae05lV51fEByVK6EsSkVChvIqEFqczq85vGNJ8pfwbOfEGAP/1QtkAVyLhRnnNP+VVAkV5LRinM6vdYxEfzF50i9mLbgW6DBHxgfIqElqczqxGfkV7qiIhRHkVCR3Ka3DSyK+IiIiIhA2N/IoH7amKhA7lVSR0KK/BQSO/IiIiIhI2jGVZzq3MmEvAHeCyYyvNn0oEb20Q3PWptoKpa1lW5UAX4U0I5BWC+/9WtRVcsNanvBZOsP6/QnDXBsFdX7DWlmNeHe38AhhjdliW1cnRlfoomGuD4K5PtRVNwf7eBXN9qq3ggr2+YBXs71sw1xfMtUFw1xfMteVE0x5EREREJGyo8ysiIiIiYSMQnd/RAVinr4K5Ngju+lRb0RTs710w16faCi7Y6wtWwf6+BXN9wVwbBHd9wVybV47P+RURERERCRRNexARERGRsOFY59cYM9gYk2KMOWyM+ZNT682lntrGmHXGmAPGmP3GmN+4769gjFlljDnk/rd8AGuMNMbsNsYsdt+ub4zZ6n4PZxpjYgJUVzljzBxjTLIxJskY0y3I3rf/df+f7jPGTDfGFAuW9y6UBFNmlddC1xa0mVVe7aG85rtG5bVgtRWJvDrS+TXGRALDgW8ALYAfGGNaOLHuXKQBv7csqwUQB/zSXdOfgDWWZTUG1rhvB8pvgKRMt98GPrQsqxFwDXgxIFXBUGC5ZVnNgLa4agyK980YUxP4NdDJsqxWQCTwfYLnvQsJQZhZ5bVwgjKzyqs9lNcCUV7zqUjl1bIsv/8A3YAVmW7/GfizE+vOR40LgQFAClDdfV91ICVA9dTC9QHvBywGDK6TSEd5e08drKsscAz3fPFM9wfL+1YTOAVUwHX57sXAoGB470LpJ9gzq7zmq7agzazyatv7qLzmrx7ltWC1FZm8OjXt4dEb9shp931BwRhTD2gPbAWqWpZ1zv3QeaBqgMr6CHgFyHDfrghctywrzX07UO9hfeASMMH9ldFYY0xJguR9syzrDPAecBI4B9wAdhIc710oCdrMKq/5FrSZVV5to7zmz0cor/lWlPIa9ge8GWNKAXOB31qWdTPzY5ZrN8bx02EYY74JXLQsa6fT6/ZBFNABGGlZVntcl9PM8vVLoN43APc8qG/j+gNSAygJDA5ELWI/5bVAgjazymvRprwWiPLqAKc6v2eA2plu13LfF1DGmGhcwZxqWdY8990XjDHV3Y9XBy4GoLQewLeMMceBGbi+mhkKlDPGRLnbBOo9PA2ctixrq/v2HFxBDYb3DaA/cMyyrEuWZaUC83C9n8Hw3oWSoMus8lpgwZxZ5dUeyqvvlNeCKzJ5darzux1o7D4iMAbXBOlFDq3bK2OMAcYBSZZlfZDpoUXA8+7fn8c1V8lRlmX92bKsWpZl1cP1Xq21LOs5YB3wdIBrOw+cMsY0dd+VABwgCN43t5NAnDGmhPv/+FF9AX/vQkxQZVZ5LVR9wZxZ5dUeyquPlNdCKTp5dWpyMfAYcBA4Avwl0JOdgZ64vjb4Gtjj/nkM19yfNcAhYDVQIcB19gEWu39vAGwDDgOzgdgA1dQO2OF+7xYA5YPpfQP+CSQD+4ApQGywvHeh9BNMmVVeC11X0GZWebXtfVRe81+n8pr/2opEXnWFNxEREREJG2F/wJuIiIiIhA91fkVEREQkbKjzKyIiIiJhQ51fEREREQkb6vyKiIiISNhQ51dEREREwoY6vyIiIiISNtT5FREREZGw8f8BRgOAPWsK5OAAAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "confs = ['both', 'top', 'bottom']\n", - "\n", - "fig, axs = plt.subplots(ncols=len(confs), figsize=(12, 4))\n", - "for ax, conf in zip(axs, confs):\n", - " w, top, base, ref = bg.models.wedge(strat=((0, 1, 0), (2, 3, 2, 3, 2), (4, 5, 4)),\n", - " conformance=conf)\n", - " ax.imshow(w, interpolation='none')\n", - " ax.axvline(ref, color='k', ls='--')\n", - " ax.plot(top, 'r-', lw=4)\n", - " ax.plot(base, 'r-', lw=4)\n", - " ax.set_title(f\"{conf} conformant\")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "packed-closing", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## Different 'wedge' shapes\n", - "\n", - "The linear wedge is familiar, but you can also have other shapes (`power` and `root` were new in v0.4.3):" - ] - }, - { - "cell_type": "code", - "execution_count": 48, - "id": "defined-cassette", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "modes = ['linear', 'root', 'power', 'sigmoid']\n", - "\n", - "fig, axs = plt.subplots(ncols=len(modes), figsize=(15, 5))\n", - "for ax, mode in zip(axs, modes):\n", - " w, top, base, ref = bg.models.wedge(mode=mode)\n", - " ax.imshow(w, interpolation='none')\n", - " ax.axvline(ref, color='k', ls='--')\n", - " ax.plot(top, 'r-', lw=4)\n", - " ax.plot(base, 'r-', lw=4)\n", - " ax.set_title(mode)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "capital-analyst", - "metadata": {}, - "source": [ - "If you're feeling creative, you can also give `wedge()` your own function (since version 0.4.3). Your function should have an API like `np.linspace()` (the function that produces the standard wedge shape). Here's an example:" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "id": "plastic-lafayette", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "def wavy(start, stop, num):\n", - " \"\"\"\n", - " Custom wedge shape.\n", - " \"\"\"\n", - " x = np.linspace(0, 10*np.pi, num)\n", - " y = np.sin(x) + x\n", - " \n", - " # Normalize to 0-1.\n", - " y_ = (y - np.min(y)) / (np.max(y)-np.min(y))\n", - " \n", - " # Scale to required output.\n", - " return min(start, stop) + abs(stop-start) * y_\n", - "\n", - "\n", - "# The wedge function will pass 'left' and 'right' thicknesses.\n", - "# You only need to worry about the case where left < right.\n", - "left, right = 1, 2\n", - "y = wavy(left, right, 100)\n", - "\n", - "plt.plot(y)\n", - "plt.ylim(right, 0)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "guided-secondary", - "metadata": {}, - "source": [ - "Let's use that function to make a model:" - ] - }, - { - "cell_type": "code", - "execution_count": 50, - "id": "sublime-poverty", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", 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" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(mode=wavy, thickness=(1, 0))\n", - "\n", - "plt.imshow(w, interpolation='none')\n", - "plt.axvline(ref, color='k', ls='--')\n", - "plt.plot(top, 'r-', lw=4)\n", - "plt.plot(base, 'r-', lw=4)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "exciting-completion", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## Varying net:gross across `breadth`\n", - "\n", - "**This is a new feature introduced in v0.4.3; if you find bugs, please let us know by [raising an issue](https://github.com/agile-geoscience/bruges/issues).**\n", - "\n", - "If you define a **binary wedge** — i.e. exactly 2 lithologies in the wedge layer — then you can pass a `breadth` argument to get a 3D model. The new dimension contains the 2 pure litholgies at each end, and pinches them out across the model's 'breadth'. Now the top and base are 2D arrays (surfaces through the wedge volume), while `ref` is still a scalar (the lateral position of the reference 'trace')." - ] - }, - { - "cell_type": "code", - "execution_count": 15, - "id": "psychological-spanish", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "((100, 100, 100), (100, 100), (100, 100), 89)" - ] - }, - "execution_count": 15, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "w, top, base, ref = bg.models.wedge(strat=(0, (1, 2, 1, 1, 2, 1), 3), # Binary wedge.\n", - " breadth=100)\n", - "\n", - "w.shape, top.shape, base.shape, ref" - ] - }, - { - "cell_type": "markdown", - "id": "framed-alaska", - "metadata": {}, - "source": [ - "Let's look at 3 slices: one from one end of the 'net:gross' axis (the last axis), one from the other end (right hand image), and one from halfway (middle image). These are the net:gross end-members." - ] - }, - { - "cell_type": "code", - "execution_count": 16, - "id": "polish-shirt", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "slices = [0, 50, 99]\n", - "\n", - "fig, axs = plt.subplots(ncols=len(slices), figsize=(16, 4))\n", - "for ax, slic in zip(axs, slices):\n", - " ax.imshow(w[..., slic], interpolation='none')\n", - " ax.plot(top[:, slic], 'r-', lw=4)\n", - " ax.plot(base[:, slic], 'r-', lw=4)\n", - " ax.set_title(f\"Wedge slice: {slic}\")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "cathedral-ceramic", - "metadata": {}, - "source": [ - "Slices in/out of the page, look like this:" - ] - }, - { - "cell_type": "code", - "execution_count": 59, - "id": "indirect-booth", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": "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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "slices = [30, 50, 90]\n", - "\n", - "fig, axs = plt.subplots(ncols=len(slices), figsize=(16, 4))\n", - "for ax, slic in zip(axs, slices):\n", - " ax.imshow(w[:, slic], interpolation='none')\n", - " ax.plot(top[slic], 'r-', lw=4)\n", - " ax.plot(base[slic], 'r-', lw=4)\n", - " ax.set_title(f\"Net:gross slice: {slic}\")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "falling-seller", - "metadata": {}, - "source": [ - "Let's simulate the seismic:" - ] - }, - { - "cell_type": "code", - "execution_count": 17, - "id": "2cc6ed01", - "metadata": {}, - "outputs": [], - "source": [ - "# Populate the model (4 layers) with rock properies\n", - "vps = np.array([2320, 2350, 2350, 2370])\n", - "rhos = np.array([2650, 2600, 2620, 2610])\n", - "\n", - "vp = vps[w]\n", - "rho = rhos[w]" - ] - }, - { - "cell_type": "code", - "execution_count": 18, - "id": "selected-settle", - "metadata": {}, - "outputs": [], - "source": [ - "rc = bg.reflection.acoustic_reflectivity(vp, rho)\n", - "\n", - "# Get a wavelet.\n", - "ricker, _ = bg.filters.ricker(0.064, 0.001, 40, sym=True, return_t=True)\n", - "\n", - "# Repeated 1D convolution for a synthetic.\n", - "syn = bg.filters.convolve(rc, ricker)" - ] - }, - { - "cell_type": "markdown", - "id": "enhanced-cookbook", - "metadata": {}, - "source": [ - "Let's look at the three orthognal profiles through this synthetic:" - ] - }, - { - "cell_type": "code", - "execution_count": 19, - "id": "liquid-manchester", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "ma = np.percentile(syn, 99.9)\n", - "vols, cmaps = [w, syn], ['viridis', 'gray']\n", - "\n", - "fig, axs = plt.subplots(ncols=3, nrows=2, figsize=(14, 8))\n", - "for row, vol, cm in zip(axs, vols, cmaps):\n", - " row[0].imshow(vol[:, :, 24], aspect='auto', interpolation='none', cmap=cm, vmin=-ma if vol is syn else None, vmax=ma if vol is syn else None)\n", - " row[0].axhline(40, c='w', lw=0.67)\n", - " row[0].axvline(50, c='w', lw=0.67)\n", - " row[0].set_title(f\"Wedge axis\")\n", - " row[1].imshow(vol[:, 50, :], aspect='auto', interpolation='none', cmap=cm, vmin=-ma if vol is syn else None, vmax=ma if vol is syn else None)\n", - " row[1].axhline(40, c='w', lw=0.67)\n", - " row[1].axvline(24, c='w', lw=0.67)\n", - " row[1].set_title(f\"Net:gross axis\")\n", - " row[2].imshow(vol[40, :, :], aspect='auto', interpolation='none', cmap=cm, vmin=0 if vol is w else -ma, vmax=ma if vol is syn else None)\n", - " row[2].axhline(50, c='w', lw=0.67)\n", - " row[2].axvline(24, c='w', lw=0.67)\n", - " row[2].set_title(f\"Timeslice axis\")\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "functional-scene", - "metadata": {}, - "source": [ - "---\n", - "\n", - "## Models from well logs\n", - "\n", - "We can pass in arrays as `strat` and they will be used as the values in the model layers.\n", - "\n", - "We'll start by loading a CSV file of a well log and dissecting it into three zones that we can pass in as `strat`. [Welly](https://code.agilescientific.com/welly/) would but useful for this, but we can also select these segments using conditions on the key depth boundaries.\n", - "\n", - "Well load the well log as a 2D numpy array, and then pull out the `depths`, p-sonic (slowness) `dt`, and density `rhob`:" - ] - }, - { - "cell_type": "code", - "execution_count": 20, - "id": "b6903ba3", - "metadata": {}, - "outputs": [], - "source": [ - "log_data = np.loadtxt('../data/P-129.csv', delimiter=',', skiprows=1)\n", - "depths, dt, rhob = log_data[:, 0], log_data[:, 2], log_data[:, 4]" - ] - }, - { - "cell_type": "markdown", - "id": "7b9ad511", - "metadata": {}, - "source": [ - "And calculate an acoustic impedance log as input into our model:" - ] - }, - { - "cell_type": "code", - "execution_count": 21, - "id": "fbf1d82e", - "metadata": {}, - "outputs": [], - "source": [ - "impedance = (1e6 / dt) * rhob" - ] - }, - { - "cell_type": "markdown", - "id": "17d24a87", - "metadata": {}, - "source": [ - "We must can segment this array into upper, middle, and lower segments. " - ] - }, - { - "cell_type": "code", - "execution_count": 22, - "id": "1dc12225", - "metadata": {}, - "outputs": [], - "source": [ - "datum, top, base, floor = 500, 701, 805, 1005 \n", - "\n", - "log_upper = impedance[(depths >= datum) & (depths < top)]\n", - "log_wedge = impedance[(depths >= top) & (depths < base)]\n", - "log_lower = impedance[(depths >= base) & (depths < floor)]" - ] - }, - { - "cell_type": "markdown", - "id": "28b6851b", - "metadata": {}, - "source": [ - "We'll create arrays of depths for the corresponding zones as well:" - ] - }, - { - "cell_type": "code", - "execution_count": 23, - "id": "e76ab68c", - "metadata": {}, - "outputs": [], - "source": [ - "upper_depths = depths[(depths >= datum) & (depths < top)]\n", - "wedge_depths = depths[(depths >= top) & (depths < base)]\n", - "lower_depths = depths[(depths >= base) & (depths < floor)]" - ] - }, - { - "cell_type": "markdown", - "id": "1797dee4", - "metadata": {}, - "source": [ - "A quick plot of the three zones shows us the stratigraphic impedance values we'll pass intou the `wedge` function." - ] - }, - { - "cell_type": "code", - "execution_count": 24, - "id": "ae5d27b9", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "(1005.0, 500.0)" - ] - }, - "execution_count": 24, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "plt.figure(figsize=(2, 8))\n", - "plt.plot(log_upper, upper_depths, lw=2)\n", - "plt.plot(log_wedge, wedge_depths, lw=1)\n", - "plt.plot(log_lower, lower_depths, lw=1)\n", - "plt.ylim(floor, datum)" - ] - }, - { - "cell_type": "markdown", - "id": "210c89b0", - "metadata": {}, - "source": [ - "The middle piece (orange) will be fitted to the middle layer of the wedge (resulting in the number of pixels given in the `depth` argument. The upper (blue) and lower (green) pieces will then be cropped to fit their layers, so you must provide enough data for this to happen. The safest thing to do is to provide the _entire_ log above and the same below.\n", - "\n", - "Now we can send these pieces to `wedge`. At the reference location `ref`, it will squeeze all of `log_upper` array into the 400 samples allocated to the upper layer, `log_wedge` will be squeezed into 208 samples in wedge layer, and `log_lower` will be squeezed into 400 samples in lower layer. We've chosen these depth sizes to be proportional to the the thicknesses of these three zones. This is not a requirement however, it simply prevents distorting the individual segments at the reference trace." - ] - }, - { - "cell_type": "code", - "execution_count": 25, - "id": "fadb30e8", - "metadata": {}, - "outputs": [], - "source": [ - "w, top, base, ref = bg.models.wedge(depth=(400, 208, 400),\n", - " width=(20, 260, 20),\n", - " strat=(log_upper, log_wedge, log_lower),\n", - " mode='sigmoid', conformance='bottom',\n", - " thickness=(0, 1)\n", - " )" - ] - }, - { - "cell_type": "code", - "execution_count": 26, - "id": "b7add786", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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CIAiCIAiHFBs2bABgzpw5ZDv2kh5MEmtqrW1QB4l0Zacpn7n8eD592UrSrk9f2qUv5dKXdulPm8e+tEtvyqV7MEtnf4Yf3r8lt+1Na3bziUtWYFkyT+10x3Khrk08x4IgCIIgCNOCwytr9va3v53XvOY13HXPvVxx+WW85W1vZ9vAPHr6p551TwTtNEYpRTJmk4zZzG5M5JZ39Gf41l0b2dExQOdAhn09eS/yj958Gi84Zo6I2UMJeasFQRAEQRAOOZqbmznjtFNpbW3lzVe+kY/9/NEp2S8UQXsIct+zbfwokpGN8p83PU0yZuWEcMIJn1vEbVNQyrEt4rbCsS0cWxG3LRzLIuYoYpZFLFgXs1VheyvS3rZoSNgsm9tIwpF5cmuFVuAlRm4nCIIgCIIgTD+e+9zn0tnZya//ejcdHe3E6ltw6hqx7KkjE6dOpELVuHDFPD53xfH0plxSWY+065PKeqSyPunoa9cjnfXpSWXNOtfD9TRZT+P6PlnXJ+trsp6PHoNr9dTDZ/D9K09lVqMoq4nGSfnMeGbqWUsEQRAEQRCEEswbXfMf/ehH3H///axb9zSJTRvYu2cvHZ0HSCYbaGxs5agjzyCZOHl8Yq0SImgPQRoSDv/y3AoN9hXiBcI26/mB6A3Eruvj+j4ZNxDBnm8EsafpGszwnl8+xuptnVzz57W84pRFnLl0FnVxydhOFCqVJbZ2Z63DEARBEARBEKrB2bNH1fxFL3oRL3rRiwqW+b7P3j37WL9uHRe/9GI+985LuePGh6oZZVURQStUBdtS2JaxKWutyXi+yeraHumsAjz8rCLjanpTWXpSLr2pLC84Zg73PNPGnx/fzZ8f383Khc3c/N5zan06hw5ag+vWOgpBEARBEARhkmBZFgsXLWDe/LnMnj2bXam1k7q/KIJWGDVP7erm0m/cP2S5UhCzLTKuP6r91cdt4o5FKuvx/guPqVaYQiVYCpUUq7cgCIIgCMKhzuDgIL/5zW949tln2bhxI6tXryadTnPp617Mlr/fTDqVrXWIJRFBK1QNrcmJ2SNm1fPGMw8nESkslXAsmhIOzXUxmpMxmpIOjUmHmG3VOPJDF52IkTlmQa3DEARBEARBEKqBOvjaKFu3buWtb30rANdd90Xe9tar6e1N8vvfPk3vYaOzMo+K3WPbXAStMGqOX9TC5s9fwsa2Pjr6M/zwvs3csW5/QZut7QNce/O6Idu21se47f3nMq85OVHhCsOhQWVGl1EXBEEQBEEQph8rVqzgq1/9Kh/4wAfo6OjgM5+4ibrkDGByz+YjglY4KCxLccy8JgDOPHIWP7xvc0kBW0zXQJafP7CVc4+ew9I5DcxpTKDUZP6KTG+U5+P0SJVjQRAEQRCE6cHYnI9XX301119/PV/60he5/PLLmW9dwNZn91UptvFBBK1QFRa01FXc9lt3beJbd23Kvf7cFcdXveqyMArGMueSIAiCIAiCMG1ob2+npaWFmTNnctddd3H2ya2gF9U6rGERQSsAkHY9egZd+tIuWc8n4/q4pabi8YZOvxO2+ehLluN6+blp3aBNb8pld9cgu7sH2dOVIuMVWlwPn9lQo7MW8DxUZ0+toxAEQRAEQRCqgZ4xps0XLFjAn//8Z7Zt28aVV15JYmYPy2afzJMPbKxSgNVHBO0hxv6eFGd8/s5xP07MVjiWhWMr6mI2M+rjLGhJctyCZmY0xJlRH+PFx83nxCWt4x6LUB4dj5FdOsoZuAVBEARBEITJicqMqvnvf/97brvtNtauXcvevXvZt28fruuyYMFCLjj/At7znn/nI+/7A9549helKJQwGrJ+9eylsxsT/OjNp7F4Rh2ObRG3jYB1LCXjYqcIbp1Fx4r6WochCIIgCIIgVIXKBa3rurzqVa8CYPny5Zx5znmcd+mr8eNNtPcMsHlPB1d9+1b8Y8a5mOs/xra5CNopxuptnbzrF6tY2FrHzIZ4ruJYKCAVoAHX13i+sfx6vsb1/GCZ5qg5DaRdn52dg2OK5UBfmke2dnDikiPHtB+hdthZTcM+r9ZhCIIgCIIgCNVghNkYe3p62Lx5M+3t7Rw4cIAvfelL3HLLX7n77rtYv349N/z0h7zpPT9m87YDAFReJad2iKCdYjy4uZ0DfRkO9I3OTjAW4rZl5o6tc2gJ5pBtrouRdCwyns8P7t1sMrO2Rcwyj7YF6axPKuuRcn0GMx6vPGUxh82SbOBkIluvaDtRfgYEQRAEQRCmAyN5Md/0pjdx00035V5blsXyFSt43etex/Ne8ELOu+ACPnHbA7S1TmD/8M9j21x6slOMq89bxqtPW8wjWzrpSWVzhZdcP1+kKf/cFGvqS3v0p136M655THv0RV5nveE/+hnP50BfmgN96THF/osHt/Hop140pn0I1SU2oJm7JlvrMARBEARBEIQqoE4efv1PfvIT/vrXv3LgwAH279/P/v372bNnL089tZZf//rXBW1f96YPsqtj7jhGa9gwxu1F0E5B5jYleelzyvsJ1u3p4T9veorHd3QPqSh8MMRti4RjkYhZJBybuJMfL2tbCkuZR9tSJByLuphNMmaTjFnBo03SsXj1aUvGHItQXbRSeImxzVcmCIIgCIIgTA1mzJjBG97wBh555BG++93vsmnTJjZt2sT+/ftZtmwZRx11FIcddhjHHnssb3/727n0HT/Er2INnvFABO0Ux/V87ly/nz8/vpsdnYPs6Rpkf6/JpL75rMOZ2ZAg7hQK0kTutW3Eaix4Ha6LWSRsm0TMCFfLkgJP0xUvCZ3H2LUOQxAEQRAEQagClUjP/fv38/rXv57zzz+fq//9gyRnzWHQSbK5vYvt7d1sa+/knwe6+NEXfwzLJn/iQwTtFGVbez/XP7iNvzyxhz3dKeY0JVg+v4ljj53DgpY6Vi5s5kXHzZNqw8KwaMuIWkEQBEEQBGEa4I7c5M1vfjPnnHsul7/7vXzgT7cDJeaYTVQ9snFDBO0UxPV8XvDluwE4e9lsrrlsJRcsn4tjT/47KMIkQ4EXn9w2EkEQBEEQBKFCRhC0q1ev5sknn+Q9X/5v3veX2yA+MWGNJyJopwirt3Xylb9tYG9Piu3tA7nlX3jFCSyZKZWDhTEgSXxBEARBEIRpj9aaH//4x5xy6qn8+NHHp00fUATtFOGLf13Pw1s7cq/nNyc55+jZ3P1MG/9yxmEyzlU4KLQCXzK0giAIgiAI04P+8qvWrFnD9773Pe564AH+7ZGHpk0fUATtFOFLr3oO/3PHM/xxzW4A9vak+O3qnfx29U6ed9QsjprTWOMIhSmJBpWVmyGCIAiCIAjTneOPP54VK1Zw7hlncMEPfkxvX6bWIVUFEbSTmH09Kb57zybW7u5ha3s/+3rS2JbiyNkNHDO/iWVzGjn3mDkiZoWDRwEy9FoQBEEQBGHas3HjRnbt2sWNN97In7RiS1dnrUOqCiJoJyGrt3Vyw0PbuGPtPlJZnxMWt3D2sjkcOaeBl5+8iEWtdbUOUZguKPDqxj5XsSAIgiAIgjAJ6Cm9WGvN6173Oj7xqU+xalYT9617CqaJpBBBOwl54w8fYjDrAfD7//c8Tj18Ro0jEqYtSqOd6TF+QhAEQRAE4ZCnzEiym2++mXXr1jH/whfwv/+8c1qpwGl0KtOHW99/Tm5anmv+9DTHzm9iYUuSuc1J5jUnmduUYF5zktmNcZmqRxAEQRAEQRCEYVm5ciVNzc08vH1LrUOpOiJoJyGHz2rgjg+8gN88sp31e3u579k22nrT+EWJNKVgVkMiELgJ5jYlmducYG5zkjmNCZqSDvVxm4aEQ13MPNbHbRKOhVJSCEgAtMJKyU0RQRAEQRCEaUEZ490RRxzBq179an5+5TuYf+7Z9J10Is6M1gkNbbwQQTtJWTa3kU+89Ljca9fzae/PsL8nzb6eFPt7w8eUWdab4qndPbT1pkd1nC+98jm85vQl1Q5fmCJYWUi2iaAVBEEQBEGYFpTp1iml+N53vsPHPvIRvvK1r3H9178JsQQusODVV+HMmD2hYVYTEbRTBMe2mBdYjk+gJbd8/d4e1mzv4pl9ffz1qT2j3u/hs+qrGaYw1dBgp2odhCAIgiAIglAN1Ahd+6VLl/IfH/0ojzz0EA8//DAAv3/Xa3nDz++cgOjGBxG0U5jdXYO85H/uG7K8KeFw0mGtnLi4lfOWz+GUw2aIxVgoibYh21zrKARBEARBEIRqoN2R25x44onMnTuPmx9/mj+tfZarbr1/SvcHRdBOMTxf09abZk/3IHu6Uxw5u4HNB/oL2vSmXe579gD3PXuAH9y3mQ3XXlyjaIXJjvLBmh5zaguCIAiCIAgVjCT7zGc+w9VXX813r/sCW48+naznVbLZpEUE7RSgayDDFd/+J1uKhGtI3LFY0JJkfnPSPLbUBY9JVsyfwrdbhHFHW+DWybQ9giAIgiAI04JhyulkMhk+9KEPcf311/Pe976Pj33so7z8139kcKCCtO4kRgTtFGBX12BZMQtgK8VgxqOtL00qax43tzkkYjZ3rN1HImaRdOyCR9uy8HyfrKfxfI3r+Vx0/HxWLmwpexxh+qEt8JK1jkIQBEEQBEGoCsMI2jVr1vCNb3yDSy65hDXa5/T//grO7NlYyfjExTcOiKCdAqxc2MKWL1xC92CWPd0p9vakaOtJ05t26Uu59Kay9KXd3Ou93Sn+sa991Mf5379vZOt1Lx2HMxAmK1YGGnbJ+GpBEARBEITpgGosv+6MM85gx44d3Pj733PfPfdw7x/+kFv3is98h2c6BycgwuojgnaKoJSitT5Oa32cFQuGtxHf9vRe3vWL1bnXxy9qZm5Tkpa6GMmYhW0pHMvCsRSOHT4qXnL8/PE+DWGyocCXXwFBEARBEIRDgsWLF/OB972PDWvXcuKJJ3LllVdywgknsM5vYP3fH651eAeFdGWnIS8+bh5Xnnk4v3hwGwBff93JHDVnmNs1wqGLoqLiAYIgCIIgCML04aijjqKvr4+/Zlr48d+fNgunaJ9wioYtDEdbX5obV+0A4NLnLOCIWQ01jkgQBEEQBEEQhMmC67rUNzQyr2XqJ70kQztN0Frz6PYu7nu2jf97dBdp1+eMI2byzTecUuvQhEmOlttagiAIgiAI04JK565YvXo1F77oxXx3174p3xcUQTtNuP6h7Xzqj08VLJvbnOAzf15La32Mi4+fz9HzmmoUnTBZ0Qp8u9ZRCIIgCIIgCBPFQw89xJ///Gfe8cGPkN71T5jifUERtFOcrOfz5h8/zD83Da1q/Jcn9uSef/X2Z6SCsTAEpcGa2lOPCYIgCIIgCCGxkZsMDAxgWRZvvOylnPOx69jQ3jv+cY0jIminOJva+kqK2ZBXnrKYOU0JLlo5bwKjEqYKWoGXqHUUgiAIgiAIQlXwR27yxS9+kXQ6zac+9Skyxx7B2tVPjn9c44gI2inO8vnNfPKlK7j25nUl17/7vKOkwrFQFqXBytY6CkEQBEEQBKEqVGAf/td//Vduu+024vE4f3xsw5TvC4qgnQak3cJbMYtn1HHV2UtZPr8ZrTUH+tK01sVw7Ck+4luoOlqBH691FIIgCIIgCEJV8EZusn79epYuXUrDc8+h564HYIr3BUXQTgOuPm8Z7zjnSJ7Z18stT+7hlw9v59N/XjukXVPCoTHpkHAs4uE/O3xuE7et3DrbUgxkXHoGXXpSWXoGsxwzr4mvvvYkGhPysZkuKA12utZRCIIgCIIgCFWhgm76Rz7yEX7961/z/Y98gFTLfLyGZmItM4m3zsSum3rTfYoymSbEHYvjF7Vw/KIW3nvB0WzY20vXYJaugQzdg1k6+7N0DWbY05XiH5sO0JsafSWgre0DPLOvl1MOmzEOZyDUAisDTdsrGGwhCIIgCIIgTHrUkSO3sSyL+++/nz/88U/84Q+/5w//97Pcund++gbWPLNnmK0nHyJopxlp12Nrez97ulN09Gfo6E/T3p+hsz/Dnu4Uj27vJOtpHEsxrzlJU9KhKenQkHBoTJjnjQnzemZDnNmNCeY0JczzhgQt9RWUThOmDNqCbIOqdRiCIAiCIAjCBNLQ0MAxRx/FP+6/nze84Q2cf/75vPKVr+Q93755yvUNRdBOE7oHs7z5xw+zZkfXkHWNCYcZDTFmNSR46/OXcv7yuZy4uJW6+BSfdEoYM9qGdMvU+tESBEEQBEEQDp6Ojg5e/vKXs23bNr78la/wtD2Lbz+1ka9+/iemwRTrG4qgneL4vsb1Na/7/oOs29MDwLK5jZywqIXDZ9WzeEY9y+c3cfyilhpHKkxGtAVeXa2jEARBEARBEKqB1iO3ufPOO2nv6OD7t9zOd+59mPV71xtVOEWV4RQNuzo8vbub36/ehca88+U+ALpohc4tL2qHxtd5kRk+er7G9X283POhj/m2fn65p/F1pJ0X7EPntysV88b9fWzc31ew7C//draIWkEQBEEQBEGYxvi+z/79++ns7Cz772c/+xnt7e285PhjOeML36p1yGPmkBa0L/3f+2sdAs9fNgvbsnAshW2p3KNd8NoqWO4UrbMtco+ur+lPu/SnPfrTLgMZj6PnNbJ8flOtT1WYhDiNWWafPbUG/guCIAiCIAiF/OPFXwbg88DnP/e5IeuvesdVzJk9h3nz5/OZz1/LzOZWWlpauG/Bfu5t2zqxwRaxYYzbH9KC9u4PvZA71u0DQCnF7q5BNrf1kXZ9Mq5PyvXoS7n0pFw6+jNVP/7bnr+U/3zZcVXfryCMBl9PrXESgiAIgiAIQiFX/OE/+dDci/jqV7/KvffeS1tbG4lEgpNOOomzzjqLs//tVXxj8y1k/APAgfyG+wGmdl/wkBa0R8xu4O3nmNrW3YNZTvz03w5qP/Vxm9mNCWY3mqrAsxoTzGqIk4xZaA2eNpbiV5yymCNmT725nYTpS72T5ZTZO2odhiAIgiAIgjAGfNfn+c/9DACxWIyP/teHec4lx5Ge3cue9E7u6foux8/0ahxlaR4Y4/aHtKCN0px0+M9Lj+PO9ftIODYJxwr+2cQcheebKXHSrk8665vnWZ+Ht3YwkPHY3jHA9o6BYY/xk39u5clrLpqgMxKEkRn0YjzZubDWYQiCIAiCIAhjQGvNq774brpuf4YVK1bw3a//gO5PdwHwlr9ey+bY5BSz1UAEbYBSiredvZS3nb20bJtn9/UymPVwfc1A2mNP9yAPb+2oaP9HzKrnZ287o1rhCkJ10KDFciwIgiAIgjDFUew7pZ4X9p/Fxz76Mb7xjW8AcMwxx/Dco05i07a7axveOCKCtgT7e1L8dvVOtA6qFmvNrx7ezr6e9EHtL2YrfvSW0zl8ltiNhcmFUpqYPX3v2AmCIAiCIBxK7Nu3n4aGvOZ405vexOb+HdO6vyeCtgRX/uhhNuzrrdr+sp7mgq/cA8AdH3gBS2bWEbMsLEsyY0JtsZWmJT5Y6zAEQRAEQRCEMbL9rxv4/vfuKlj289t+xTGnnUFLY6JGUY0/ImhL8KO3nMb1D27HUvD4zi7+sbG9avu+8Kv3lFz+nvOW8aGLjq3acQShErK+xf4BmdJJEARBEARhqhM780QuvNDmjjvuyC175r6neeYlT7Pi/72YmVecWMPoxg8RtCVYPKOej128HID/vOmpqgracpxyeOu4H0MQinEsn9l1fbUOQxAEQRAEQRgrdbBq3TrA1AeaPXs2yWQSz/P4+POu5J7W9bSlK6v/M5UQQTsC17xsJYta67jhoe24nk/W17iej+tpsr6P52uynh7zcd7201Usaq1j6eyGIf8Wz6jDsa0qnI0gFOL6FgcGG2sdhiAIgiAIglAFTj31VObPn8/+tv3s37+fnt4eGmY288Ubv0vTm0/Bap5+/T4RtCNgWYp3veAo3vWCo8q20Vrj+Ro3/Of5ZD2N6xvhO2SZr83yQCB3D2bZeqCfLcG/m9bsoifl5vbvWIrDZtVzZCBwTz18Ji88dg7JmD0Rl0CYxmTTDju2zKl1GIIgCIIgCEIVOP+kOm666SbAaJTevj527dnNt771bX7z7l8z83WXk1p5dI2jrC4HLWiVUkuAnwPzAA18X2v9daXUTOA3wBHAVuA1WutOpZQCvg5cAgwAb9FaPzq28CcHSikcW+FUSV9qrekcyLLlQB+b2/JCd8uBfu5Yt58f3LeFWQ1xVn/qRdU5oDApmZDvmK+w+yT7LwiCIAiCMB3QOu8cVUrR3NREc9OxfPPrX+c1r3oVr3zFK3jxv/87DySnT5GosWRoXeCDWutHlVJNwGql1O3AW4A7tdbXKaU+BnwM+ChwMXB08O+5wHeCR6EIpRQzG+LMbJjJiYtb+cemdha01nH0vCbW7zXVl9v7MwxkXOrjkmSfxoz/d0yD8qTatiAIgiAIwnTn3HPO4cQTT2RZJsODsWStw6kaB62GtNZ7gD3B816l1DpgEXA58MKg2c+AuzGd7cuBn2tz2+BBpVSrUmpBsB+hBGnXY/mnbiVyo4XZjXEspbhgxVzqxHI8rZmQ75gC7Yx9DLggCIIgCIIwufnkJz/J6tWrueaaa7j+kYeYLj3AqqT3lFJHACcDDwHzIh3ovRi7JJiO+I7IZjuDZQWdbaXUO4F3Ahx22GHVCG9K0t6X5t9vfLxAzD72qRcxoyFeu6CEmjFe3zF7Rit+bLr8nAmCIAiCIAjluPPOO7nqqqu4btcWvGnU/xuzoFVKNQK/B96vte4xw/gMWmutlBrV1dJafx/4PsBpp502fa70KPnDY7u495m23OvjFzXTUherYURCrRjP71ji8CUaSfQLgiAIgiBMD8qMJEulUjz44IN84JOf4A87NjCd+n9jErRKqRimo32D1vr/gsX7QpujUmoBsD9YvgtYEtl8cbBMKGJvd4prb15XsKy9L4OnNVa5T6kwLRn375gG/OrGLAiCIAiCINSIMmmOVCoFwNa160i0xBnIZicwqPFlLFWOFfAjYJ3W+quRVX8C3gxcFzzeFFn+HqXUrzGFarpl/GxpGhL5WyanHzGDr77mJJbMrK9hREItmJDvmNJo+5A1QgiCIAiCIEwvyuS+2tvbATjvja/nmzf9SjK0Ac8HrgSeVEqtCZZ9HNPJvlEpdRWwDXhNsO4WzHQiGzFTirx1DMee1uzqGsw9P3vZHBGzhy7yHRMEQRAEQRDGzNy5cwG4d+umGkdSfcZS5fh+yt4D4IIS7TVw9cEe71Ag7Xr8Y+MBPvzbJwB44bFzeO8Fy2oclVArJuw7JtPQCoIgCIIgTGsee+wxjj/hBLan+qZd308mMZ1EvOBLd7O3J5V7fez8Jh7f2c2shjj1cZtkzPyzLRlHK1QJBYyuppQgCIIgCIIwxfjBD37Aqaeeyp7+nmnX9xNBO4m48qzD+fJtG3Kvv3fPZr53z+ZR7+e9FxzNB150TDVDE6YrGvDlBokgCIIgCMJ0ZtGiRXz3u9+lddMGBuqT+LNn0njOc2sdVlUQQTuJuPq8ZVx93jJSWY8DfWm2tw/w2I4untjZxZM7u9ndnRp5J8DOjoFxjlSYLihPEe+YRlUBBEEQBEEQDmXKJF+vu+46rnr72znt1FPp6ekhHo/zple9lb+s21B6gymECNpJQsb12dTWx+a2fp7Z18ufHt/NlgP9BW2OmFXPKYfP4JTDZrB8fhMtdTGa62I0J2MkYxbR+UkFoRK0BW7D9LKdCIIgCIIgHLIMll7c2dnJO97+dk486SS+9rOfcuuObfzqqSemRT9QBG2N8X3N63/wIA9t6RiybnZjgmPmNXL03EaOnd/MnKYEadfjJSvn49jTbDS3UBssjV/v1ToKQRAEQRAEoRqUyG91d3ezaNEiLr7kEt76hc/wxrv/yICbhRjm3xRHBG2NUQra+tIl1x3oS3OgL80/N7UPWffykxZSF3eoj9vUx23q4jb1MfM4oz7O/JYk85uTzGpMSBEpoTwa8OTzIQiCIAiCMF1pa2ujqamJ//v97/m/3/+eU/7rI/TPbkXFpocUnB5nMYF4vqY3laW9P0N7X4b2QHR29GfJeB6+NllXz9d4WpvnWuP5oHXxctP2mLlNLJvTiJ9bD6msR3/apT/t0pc2Y2qj/HHN7opjvvq8o/jwRcurfSmEaYByFYn98jMgCIIgCIIwLQgcxJ2dnezcuZPe3l56e3v59re/zbPPPst//Md/8OinvwTA0lNPJ3b568sNu50yHDI9Wa01Nz+5hz1dKTKeTzb3T5Nxh77OeD6prEdf2qUvZYRlb9qlN+WWPYalwLYUllLYlsJWCstSuWVD1luFy8LllqWwFdTHbRoTDgstxfL5Tbnl0X1YwXPX80m7JubuwSxtvWna+tJoDc87avYEXmlhKqHqPGLP6ap1GIIgCIIgCMIY0FmP9J521vxtJy9/+cu5++67Wbh4EY2NjTQ0NtLU2EhTUxP/793vprmpiYGBAZYvX87qkxp4sG30s6pMJqatoE1lPdr7M3T0ZegYyHDjIzu4+ck943pMX4PvacqWFwM+cckK3nHukeMahyBUyozEAK848vFahyEIgiAIgiAcJNc+56bc81CaLlg4n75sJ9lML6//3CtIzrLJ+CnS3iAZv4O4n2YP21kIvKKpJmHnWDvG7aedoP3BvZv53C3rah1GWTa19fH07u58hlWBUkE2Vyksi1y2NnwerlMW2JHsbpgBFoSDRQExJUWhBEEQBEEQphpdewb52ovvLLluz+69uecXt/wrN6Y+XLDemUYSYtoJ2hMWt9Q6hGH59SM7+PUjO6q6TydnU1b554EV2QmfW+BYVs7ibFsWdpFAtpTCsfN2ZidibY7OCKRQxB2LuG2RiFkkHIuEYxN3zPN48PqMpTNYNrfGt3yEYclomx2pGbUOQxAEQRAEQRglgzrJ8899Pqn+FHv27KG/v5+enh5s2yZZnyRRlyBRn+CiK16MVWcRq4vhJG2cBgenwcaqV1gNNvHGmPnXEKdxQQMthzdjTaEZVaadoD3zyFlsve6lw7bRWpP1NL4O/2EeffPc8zU6WO7llpdu52uNDttF1hW002E7UxxqSLvgX7iuoF2kgFRYVOrxnV3c8uTenKjsS7vG7zwJGem9EGrL4J461n3+hFqHIQiCIAiCIBwMs+Cola289Kj5tDTV0bP7fj7+8Y/T09NLd08v/f199PcN0NffR//AAP19fWzdsoX777+PNXc/xt69e0vu9tzzLoFZ5+N5/gSf0OiZdoK2EpRSxKdwnn3Zx28BMMWrXPMhi9mKuphNfTCVT10wnU/csQoytfl/FrYCyypapyLZ2+hjJHsbZoEdS+FrnYsj7fqkXY908PpFx82r5WUSKsCtUxxYeUj+DAiCIAiCIEwLDtDH410boQterXzi8TizZ89i9uxZQ9p+/etf55Of/DjnnPsCXvqylzFrxkxmzpxBa2srLS0ttLa2YlkWz3nOc7jiJ3+kc2Bw/E/gD2PbXHqyU5B7PnIe//KDB9naPgDAW553BKcfMZPZjXGWzm5gbnOyxhEKUwYL3IbJmd0XBEEQBEEQRsnA8KuPO+44Zs2axf/ccAMfveVvrOrrpz+TQXf2Q2c/EEwN+uhTpthKw3gHPHZE0E5BFrXWceO/nsWrv/sAOzoG+Ok/t/LTf27NrX/ZiQu59vLjaamP1S5IYWqgwSo/E5UgCIIgCIIwjTj++ONpaGjgXf/yL2QufgWDrovCaNepigjaKUpHf4YZ9XEWtdbha83G/X0c6MsA8OfHd7NsTiPvu/DoGkcpTHaUD3ZqKv+ECYIgCIIgCDlGqOU0f/58fvazn3Heeefxufd8kF88vnFi4hpHRNBOEbTWbDnQT9dglp7BLO/91WP0pApTay86bh6Hzazn5MNaZfyqUBHaAi8plmNBEARBEIRpQWb41Y8//jjnnXce1157LX5z47ToB4qgnSL836O7+OBvHx+2zUUr59ObypLO+sSsqVNqW6ghCnz5FRAEQRAEQZgeDCNo29vbOe200wB4/rnn8vZ/PDIt1OA0OIVDgwtWzGVhS5Ld3amybT4UEbx/enw3rzhlEQtb65jfnGRec5K4IyJXKEIb27EgCIIgCIIwvWlqauKll17Kn266ifPOPZeXfusHbOjqqXVYY0YE7RShtT7OP//jgiHLfV8zmPX49SM7+Oxf1uaW3/NMG/c801bQ9ntXnspFK+ePe6zC1EH5EOuTMbSCIAiCIAjTgmHUXTwe56Y//pH169dz0kkncfPV7+DMj15HtxWfuPjGAUnZTXEsS9GQcNjU1jdsu4UtSY5f1DJBUQmCIAiCIAiCMBnp6emhqamJF7zgBfznqy+pdThjRjK0U5xHt3fy7usfZW+PsSL/8E2nGZtxS5LWuhiWJdk3oTxagZeodRSCIAiCIAhCVfBGbnL77bdz2eWXc8xr3sSHb/n7lO8LiqCd4nz51g05MQvw9p+v4rITF/Kxi5djNUxt+4AwAUz1iccEQRAEQRCEUfGNb3wDz/M4/OhTyGp/yvcFRdBOcX7y1tN5Zl8v/3vnRu5Ytw8wBaH+9PhufnHVGZxz9JwaRyhMajSobK2DEARBEARBEKpCBeL0xz/+MS996Ut5//wZ/GLj3vGPaZwRQTvFScZsnrO4lR+++TTW7enh4q/fl1u3pzvFo9s7mVkfZ0Z9nKakIxZkoQClzT9BEARBEARhGlBBV/+8884D4LlHHc71z4qgFSYRjQmHec0J9vWkAfjI754Y0ua5S2fym3edNdGhCZMYVcFYC0EQBEEQBGEKUEHJ30QiwbHHHsuLznk+p7/jA/TNWjz+cY0jIminCTc+soOP/H6ogC1mV9cgP7xvM46lcGyLuG3h2OZ5zFLEgtcx28q1aamLsbA1SX1cPi7TEknaC4IgCIIgHDKsWrWKDRs2APC5V7+ED979FO4UduyJQpkE7O4a5Nqb15J0bJJxm6RjUxe3zOuYTcxW+Bp8rYN/4Pka3w+ea83e7sGKjrWzc5Brb143pnj/ePXzOWlJ65j2IUwOlAfx7in8CyYIgiAIgiDkULNKL/c8j/7+fvr6+ujt7WXGjBl0dnby4he/ONfGsm1OeOunIV43QdFWBxG0k4Av3bqeW56snn89GbOwlcKyFJZS2JbCUuRFsZ8XxZ7WaK2NQK5Q1zgyDnfa4DuQmiXvpyAIgiAIwnSgVHd+27ZtHH300WSz+UqgCxYu5HkrVtDY2EgymaS/v5/du3fzo/dfwb/85raJC7gKiKAdBza19XHBV+6p2fHXf/bimh1bmFpoG7LNkqEVBEEQBEGYFvTkn/7tb3/jj3/8IwMDA5xzzjk88MADDA4O4jgOF5x/Pse89W2s3d/GYDaLymaYmc3yptvvmHJ9QxG048CertTIjarIZScu5LWnL2FBS5KFrVPLIiDUGFvjznBrHYUgCIIgCIJQDXrzTz/60Y+yZs2aIU1WrlzJO679L66+92Z6Mun8CgdoGvcIq44I2nHg7KNns/W6l5Zd7wdWX8/XuL7G9XxcP//a8zSu7wfrwuV+pL153d6X4YO/fTw372xIU9JhdmOCmQ1xZjXEmdUYZ2ZDnJa6GHHbIuaYYlBxxyJmm3/muTLrI+tMe1WwXcKxUEpsqtMBlVUk9sjPgCAIgiAIwrQgklx97LHHClZls1n2HzjAC845h4+/4930LzyC2JIjsBLJCQ6yukhPtgZYlsJCEbPHvq/zl8/l2f19dPSnOdCX4d5n2nh2fx+DGY/1PT30Z8ZvTpYzj5zJL656LjG7gvrgwqTEykLDrlpHIQiCIAiCIFQDNaf8ulgsxqIFC1i1ahW/uOGX/OqXN/DYb64nnUkTi8WxY3GOPPtlxI44ZeICrgIiaCeYW5/ayz3P7AdAB3dQtAaNzr+mcHl0YX6dHtL26d3dbGrrH9f4ozy4uQPX01UR5kJtUB7E+qfWOAlBEARBEAShDCUErdaa/v5+urq66OrqYu/evbz3PVcXtMmkU5BOMTe9m6MXX8pjG6ZOxkME7SjRWhfYg8vZhYvtwZ6v6U25/Ov1q2t9CiV52/OX8q8vOBLbUjiWhW0rHMtUSA4rJgvTD68OOo6T91YQBEEQBGE6oAcKX998881ceumlZduvXLmSky55KUe/6CK6BlP0ZzLcv3U76SnUPxRBOwrW7u7hkv+9r9ZhjAvPXzaLuc1T2z8vjB5ta7Izxs+WLgiCIAiCIEwcfp8/Yq2b4447jmOOOYaZM2cya9YsVq48jr+lD3D/nm2mwRQrDCWCdhQsmVnHGUtn8vCWDpQCBSilgkdQBAshtwzAyrVRuXWRpliWyj2P7i/ck6XMax3MI+v6mv60S9YrbRU9+bBWfv62M2hKxqp6/sI0RCtURsZAC4IgCIIgTAcsy+Kzn/0sTz75JI7j4DgOtm3jui49PT10dnbyxBNPsPi5p9Nx7lmszqT5XW87fo9GMTX7hCJoR0FTMsaN7zqrpjH0pV2O/6/hJzt+bHsXJ3/mdq46eykJx1QsTjg2iZipUJxw7GBZ4fJcu3BdzA6qHiupajxNUS4kD0zNHy9BEARBEARhKJ/85CfLrvvzn//MZZddxt9+8jP+beWp3NqRIu445FNtUw8RtFMMx1IcOaeBzSMUf0o4Fj97YCtp188VmzpYlCIvfnPCt1gMR4RwsDxuW8H66LqRxXXW8zlsZr1kmCcA5UOsr9ZRCIIgCIIgCNVANQy/Ph6P09TUxMKFC7n52//D9h07qG+ZQbJ1NjS0oppaibfMJt4yi3jrLOxk/cQEPgZE0E4xkjGbv3/whRW311qT9TRp1yPt+mRcn7Trm9dZP7LMK1ie8fxgfbg80i4b2UewrnswSzrrRfbvFxxztNiWYtPnLxn1dsLoiPd4LLyzo9ZhCIIgCIIgCNXgsuEzrRdddBE9PT25167r8syGZ9m0cTPbd25j06ZNrF+3gY0PP8yWndtJpUyVqdee/3k62wfK7XZMPDXG7UXQTnOUUsQdRdyxRj2+O6zonAlEacYrFL/Fy8PnxevSWZ/+jEtvKkvPoEtPKktf2qU3ZZbt60kPOfZ1rzihOhdAGJ5MBrV1d62jEARBEARBEKqBXjSq5o7jcNzKFRy3ckVuWSaTYefOnWzdupWXvexlrFixghOWtHLf6o3VjrYqiKCdwjy5s5ub1uxCA67nkw2nEfJ07nk2mDbI9TTZYIqhIctz64MphjxtRKo3drtyiKUg7hgbctSePKM+zrzmJBnXZ/3eXgAOn1XPS46fX50DC8MTj6OXju6HTxAEQRAEQZikVDAU9qmnnmL79u3s378/92/Pnj1s27aNbdu2sX//fhYsWMCSJYdxxRWv4IUvfAHrH7TGr8+4Zmybi6Cdwnz/vs38+fGh2bX6uM2sxjhJx8YJijo5lsKxLZIxCyfhBMvMfLOxYF24zLFVIDyt/KNT+DpaRGpIOzu/Pnzt2FJ4aDKSbrXZdumMWochCIIgCIIgVIEz6Bx2fXd3NyeccALLjj6a0884g3nz5rFg/nyWH7eSlrlzcVpmMmAn2Nndy66uHnZ29vCD/d10L0jDePUZ14xtcxG0U5j3XXA0R89tZFNbH0/t6mZTUChqIOMx0DGYa3fUnAbuHMW4W+HQQtu1jkAQBEEQBEGoCiOUrmlpaeG/rrmG677wBWYefzJb5h9N10AKv78LtneV33AS9xdF0E5hls1t5L0XHA1ATyrLJ//wFH8qkbGd3ZiY6NCEKYLSYGVrHYUgCIIgCIJQFSoQnh/76Ef59DXXsIgsCxcs5M51m6boDLQGEbRTmIzr846fr+KeZ9oKll955uF89OLlNCbk7RWGRyvQ8jERBEEQBEGYHlRQ/+bLX/4yy44+mtd+/Bqu+cudU74vOMXDP7TxfD1EzAKs3tbJ1Tc8yqyGODMa4ni+pqM/w/svPJoj5zTWIFJh0qLAl18BQRAEQRCE6UEFzrsbbriBw5Ys4b9/+3+4Dc0oVUElqUmMdGWnMHVxm/WffQnr9vTwj40HWLenl7V7eli7pwf2DG2/ryfFb9511sQHKkxalAexvlpHIQiCIAiCIFQDVcFIw4cffph//8AH+PGXPs17v/wt7mgbOoXmVEIE7RTmQF+a0669Y9g2h8+q5/VnHMashjgvXilT4QhFSIZWEARBEARh2lDJjJsXXHABq1at4l3vehfnvvBc/vaH28c9rvFEurJTlGf39fLXp/YWLHvFKYt4wxmH0Zh0aErGaEw4NCUcLGtq2wiE8UNb4NVVabJhQRAEQRAEobZkRm6yatUqPvWpT2Gd9QI+cdvt+FO8LyiCdgpy37NtXPmjhwuWHT23kWsuW0lzMlajqIQpiZJpewRBEARBEA4Vfve73wHwmte+liv+dBtTurxxgAjaKcjiGfWsWNDM+r096OCGyrP7+3jONX/j05et5M3PO6Km8QlTCM2I85UJgiAIgiAI04PjjjsOgGu++W1YfFSNo6kOIminIEtnN/DX950DmPlnf/HANr582wYA/utPT3P72n18619OoaVOsrXCCGiwsmJJFwRBEARBOBQ47rjj+PKXv8yXvvQlzvz0V9iw70CtQxozIminOM3JGFeft4x3nXskb/nJI9y/8QD3bzzAjY/s4B3nHlnr8IRJjtJgubWOQhAEQRAEQagKFViIr7rqKj7xiU9w/sK5PLtLBK0wiXh6d3fuecdAht88sp1FrfUsmlHHwtYkCUcGSwqFaBlDKwiCIAiCMH2ooL7T5s2baWltZcC2p0U/UATtNMGxLf76vnO5/sFt/G3tXr53zyb8og90S52pfDyrMc7xi1r46EuWiy35EEdpsKf21GOCIAiCIAhCgIqP3OaUU07hkosv5lvvfhsLz7+cgflT29UpgnYK4vmansEsXYNZOgcydA1k6Ow3z5WCM5bOZOnsBtbv7WVb+0Buu+7BLN2DWXZ1DfLEzm4aEw4fv2RFDc9EqDXKA6e/1lEIgiAIgiAIVaECQet5Hm9+85t59NFHWfWzb/KBb/ySOzbsHXnDSYoI2hrSk8qyYW8vWc+neyBL50BeoPamXHrTLn0pl760S28qS1+4LO3mqhsXYymTiZ1RH2dWQ5xlcxpprY/TWh9jRn0s99z1NC85fv7EnrAw6fAdSM+sdRSCIAiCIAhCNSinEfbt28ftt9/O3//+d/7yl7+waNFiXvnqV/OzG27gl8/sJN0mgnZSobXG9TWup8l4PlnPx/U0Wc8nU+K56/l4WuP5Gl9rPJ/I8/xjwXqt8f2i9bllkfWRdtFlng+/enj7sOdx5JwGmpIxmhIOcxoTNCYdGhMOzUmH1vo4MxoCgRoI2Bn1cZqSDpYlVWuFytBxzeCSbK3DEARBEARBEKqAt9Wjvb2d3t5eenp66O3t5aqrrmLDhg0sX7GCd77rXVz53vfwhJ/iL1vW8+OH/mo2XFLbuMfClBO0bb1pTv/cHbUOoyIsBbalsJTCthS2UliWyi0bjr/829kcv6hlgiIVDlXqkxlOXbGl1mEIgiAIgiAIo+CBj93K3vu35l4rpbAci+tcn+9++zs0NjXR1NREU1MjOqgU9dWvfIVfzbyT+/p/AEDTfDh1Ehg2h0/xjcyUE7Rx2yLuWGRcv9ahjIiv4UdXnsZ5y+fWOhRBKEmLM8Clc56odRiCIAiCIAjCKGhrqCNqEtZa42U9mpqaWLrsMGbNa2DZc2by4iuXEm/wyPrPo9f7ES9099Qs5nL8YYzbTzlB21If45lrLz6obX1fk/V9sp4m6/o523E2sB2Hz7OeT9Yteh087xrI8IP7NrOvp7LSsP/32C4RtMKk5UCmkR9uPbvWYQiCIAiCIAij4QNwwYdfxexEE7MSzcxONNOq6tj+43s45YzTeP+/vY/b/9LO2Sf/mi81Pwo0AnOBo2oceCn+Oaatp5ygHQuWpUhYNgkHSBzcPj7956crErOzGuLMaUqwu2uQV34n/yYpoNhtrFD5lRQ+VapEu8jy6PrnLG7lgy86BseuYEZlQQBils/8hp5ahyEIgiAIgiAcBBna2JOBPRnz+vjmObz/Pe+lo6ODd3/oPdyy6Q58bwdOQ4xYYxynPo6dcEjOrMOKTYNJaDnEBO3BEFYc7s+4fPGv67lrQ1tF27X3Z2jvz4xzdIX8Y2M7lxy/gBMWy9hboTIGMjEe37G41mEIgiAIgiAIVWBZqoeOjg4Avv3f3yzb7uKXXcqON53DgDv1i4OKoI2Qdj32dadp60vTl3bZsLeHz9+yfsTtjphVz+UnLTKFn4KCT8UFoaywKJQi9zxcbinyBaOC5SrY3lbKpGuDEtzRStzRstwazZymBMvnN1f1mgjTm4ZEhtMP31brMARBEARBEIQq8LUrf5J7ftttt+HFfRqbGmloaDCPjQ0kEkl2p/by5Q3fIuvXXtBuHuP2h7ygXbu7h0v+975RbXP+8rl85vKVNCYcGhIOMbH4ClOUmPJYkOyudRiCIAiCIAjCGNi3toNfvdHMBDN37lwe37Karz7zH2R14BgdDP7tz28zOz7hYY4Lh7ygdezK5mxdOruB615xAq31cZrrHGbUx0lOE9+5cOhiKU2dXfs7c4IgCIIgCMLB47hZYrEY2WyWn//hB3xn04dxrPQhIfaUjvpWJxmnnXaaXrVqVU2OPZjxWPGftw7bZut1L52gaIRSKKVWa61Pq3UcU5m5x83Sr/rFwVUNFwRBEARBECYPzkCMb5z7UwA+cOu/Mji7t7YBVch3TrthTH36Q0G0HxR1cZszj5zJg5s7yra55k9P05x0aErGaEw6NAXPm5IOTYn88/q4jSoubSwIgiAIgiAIglAlUtYgAA0NDZxRdzZ361sOCQ0ignYYPn/FCdyxbh/prM/+3jT7elK092foS7n0prL8fvVO+jIuIyW5LQW+hqaEwxPXvPiQ+GAJU4OU5/Bsz5xahyEIgiAIgiBUgauuugqlFB99yyfp7u1mwYlLWfLe5+E3TV/ZN33PrAocOaeRd85pLLve9zWPbO0g5frs60mxvyfFvh4jfPf1ptnXnWJfbwo/ELy9aZef/GMrbzt76QSdgSAMT9az2dUt0zwJgiAIgiBMB85c1MRnP/0ZtNbcf//9nHvuubzj7VfzA397rUMbN0TQjpK1u3v41cPbsS3FLx7chucPn55NOBb1cZu5TUla6mKcv3zuBEUqCCNjWZqmulStwxAEQRAEQRCqgCLOM888w7HHHgvAa177Gk4581SaNjxT48jGDxG0FfD07m7efcOjKGBr+0DZdleeeThvff4RNCQc6uI29TEbR6b0ESYxMctjXn1frcMQBEEQBEEQqkA63ZgTsxs2bODG7F18Y9dPmVc/fWe1EEE7DFpr2vszfPT3T7BtGCEb8m/nL2Nuc3ICIhOE6qDQxG231mEIgiAIgiAIVeDhhx7KPX9Ur2VN92OgID6NZxsVQRugtSbj+ezvSXPOl+46qH1s7xgQQStMKZQyc9EKgiAIgiAIU5uOtft55JFHALAsi+aBukOin3fICtpfPrSdj//hyYrb/8fFy5nTlKC1PkZLXZzW+hitdTEaEg4Jx5LKxcKUJGG5LGtoq3UYgiAIgiAIwkHie5rbPreGNb/fCsCOXdtZ5d/M2r6bWGZP/37eISto5zQlRtX+C39dX3bdT996OuccPQfbElErTC0sNPVWptZhCIIgCIIgCAeJj2brPR2510sWHcbpL1nO5V8+mnrLr2FkE8OYBa1SygZWAbu01pcqpZYCvwZmAauBK7XWGaVUAvg5cCrQDrxWa711rMc/WF503Dw2f/4SDvSlSbs+Gc8n45p/2eB52vN5608eGXFfb6mgzXDEHYsHPnY+sxpHJ7KF6c94f78G/RhP9C4at/gFQRAEQRCE8eflt7yNs2ecwXtPfDsDAwM8cut6iM0g1ZShv6+fo165ktajZ9U6zHGhGhna9wHrgObg9ReBr2mtf62U+i5wFfCd4LFTa71MKfW6oN1rq3B8Vm/r5LerdrBiQTO+1ni+JutpPN/H9St77Xoa1/fN88jr04+YwWDWY39Pmv296WqEO4SM65N2p//dE+GgGNfv12A2xlP7FoxP5IIgCIIgCMK44fYM4Hb24fcN4vZ2cWvvrzjrrLOYOWsWd/397zzy5wdybT/58o/w7fa99Lvjo2dqidL64AcKK6UWAz8DPgd8AHgZ0AbM11q7SqmzgGu01hcppW4Lnj+glHKAvcAcPUwAp512ml61atWIcZz62dtp76+tbTJmKxKOTcKxiDsWCccyr2P55+HylroYc5sSzG5KmPG3KFBgKYUiLNSjCIflhs8VCksRLA+fF24T7GrINhRsr4L2Zj+qxDYqOI5CYVn5ZdFtovEWbKOC40SW2UrRWh+vqi1bKbVaa31a1XY4yRjv7xfAaUrpkb9hgiAIgiAIwmRCA8WTgy4CbOB5wFHBvyOBpUA9EA/+xYJ2kwUFY+rTjzVD+z/AR4Cm4PUsoEtrHc4DshNzbQkedwAEnfHuoP2BMcbAbf9+Lr9fvZN1e3rwNfhaowE0uYxr1vNz/zKexs291jmbcfg665nMrQ72U4nmN9u59E2/mx7jwo/fchrnL59X6zAmO//DJPh+CYIgCIIgCJMLhRl79gCwC9gdPK4F1gNPApkS/7JAOtg+TqHILX59PPATJn/RpYOOTyl1KbBfa71aKfXCagWklHon8E6Aww47rKJtZjcmeNcLjqpWCCXRWqO1uRvi554Hj8FzX1Mggke1TWRZ8Tbk2gXb+EP3oyNCfsg2OniO2bFfYht0NMb8NuTaFW5DcBxfazbu7+Pbd28a1fXc1ZWqzhszTRmv71ew79x37NRq7lgQBEEQBEGYME4J/kW5Jvg3Eh5DhW4G2AxcELRZA3wDaB1roOPMWAT384HLlFKXAEnMGL+vA61KKSfIIi3G3CwgeFwC7AwskS2Y4jUFaK2/D3wfjOV4DPFVFRWxANtINeMo29sHRiVoF7XW8dcn97BuTw+nHjaDl5+8SCpED2Vcvl9Q9B1Th8DkZIIgCIIgCEIBNlAX/IsSFYevxXQmWycopoNlTGNoczsxGaQPBVVYfwv8PlK05gmt9beVUlcDJ2it/zUoWvMKrfVrhttvpWNohcmF6/l0DGTo7M/SOZBhb3eKXV2D7O4aZFfXIGt39xQU2HrNaYv50qtOHPVxpvsY2pDx+n4BNC+ep0+7+l9yt2hU0e9B+DqUvQodWVfUZoR9DNe2eP9RmZ075gjHKxWj5Wts38f2fSxf40Sfex6W1jiej+X72L7G8b1gnY+lg2Wel9u2ZDvfx/Y0tquxtZ9bFh4r7nrEXA/H84iF/1yPmOcS8/yi5y6O5xP3PISh9BKnx0rSoxL0qCQ9VoIeu54eu84st5J0WPV0WvV02vVkrHjB9jq0mxQs9AvHleTuXNoox8m/BnBs81pr8CKF/LQG10VrjbKKRjQ5DjoRA8tCx2Ngm8ICWimU74OnzaPr5fdV/B3yNdrKFSkA2zL7CI6lwm08H5XJgu9DJgtao72igoOWKpg3PdcH8PXQaxEuD7YruD7KQtlW4bJwW6UwxRdUfp3vg+eZ43keKCsfi1Jg2+j6JDoZQ6Vdcx6uhx4chOj7ZltmWzDxBrEAKMc2x43H0I6NyrqQSuePmbugQezhe1l8LcJmjmP2F1x7HY/htdaDpbB7UpDJotJZdCZTeK2iaD93rrlrXHAQK39tyxHdb7h99Fqr4lF0wxDGUSpOrSHroj0v+Ox4hW2DOHOfn+hn3fcLl9m2ucZ++eub25dl3n8cB1Vfh7Yt89pS5nvm+yjXg3TGxOW6hdegcIfm/U3EwbbQyQQ4Njpmo51IvJ7Gyrhm36kMZF3z+XQ98zmKR76zxe9PaH/zC99LFT3X4m3C87EstB1ZF/ke5xYVn5fWqHKFQ31/yG+Rcr0hseXidt3y180uM6IyHkMn46XXhYe1LPPbVgmeNt/NSvSH1ub9KXU+leD76IPddgRU9PdtknH622bwmc9+Zsz7aWtr4wufv44HHniAZe4FHNjTNfbgynDr7m/WdAxtKT4K/FopdS3wGPCjYPmPgF8opTYCHcDrxuHYQg15368f46Y1u0e9nWOP4o+xUNXvVzrusHXp9CzhPmFoZTSIX8U/bFoT8zwc1yeW9fMi2M0LYsfzSLgu8axHMpMlkXVJZIseMx6JtEuyaHn+tZtbnsxkSWZc6jJZ6jIZGtOTryBAExma/AyVTjTVT4wulaRT1dGh6uh0GuiyG+i06uiw6jlgN9Eeb6JHJXMdk6jA0+WugW0PFa6JeIFQzOH5qH4jynJrY7Ggk+1AzEE7lhG9YMRt2IH1zHOtcuNHch1p5et8R9uyjNCzLfwGc6891ynOuvkObthpDzvAkU63si20DsVnRHhFT9PX5O4sWRodtrHt/LmHj6GAjNwgIBYzcTlOIB5cszdlgeuhXBfVqyCZQNcnTczJOMrzYWDQxO26oN1AIAQd8CAOnQ3icV0Tj+NAMmG2z2bzNzS0j3YjsYc3BoreulA4hftSno+TyYJl4TfVoevjWD2DqEAk6PBaRUVgKDZDEW/bhddX+8b3FxWlxWLIirwvYbuwifbB9wpuNAxL8Q2K3HLL7DNho3Tw2XON4As/c+H107mbjHpYcavDz0AglErdSNGeZ87fC27CpNPmHBzHCOLwu+LYkGjMHRcdiCLXMzeToiJXBzdCAPr6zbEdByu82RGK3UQMbTvQkDDXz/VRngdZLyeiVHdvgRBXofBzbLOfCDpm5a+xXyQys25+H9FtLFX4WxLcsCoQuRboWLnyPTY6cl2V1kbAldBwKhThpW5o+L75npQSmVkXNTj8MLFR/fULb/JVIgaVwm9prFwsF6M1yht6k7Aa6EzWvK+lrucUx/d9rr76atasWcOGDRu44oorWDnjOG7/7cO1Dq0sVRG0Wuu7gbuD55uBM0q0SQGvrsbxhMmJfRB3qpIxiz88uos/PLqL156+hE9depzYj4uQ79ckR2mTwLGrexdYo8hohwxw0H8uA7Fd6Q4KRLnWJDNZGtIZ6tIZGlIZ6tMZ6lMZ6tNZ6gfT1KXM+vqCf2kaUhkaU2ma+lM0D6RoHhykKZUiGenUTQQNZGnQWRbpXrOgTOI7jc0BVc8BVU+b3cgBu4k2p5EDTjPtTiNtduMQ0auz2cKdhK+LMm7KMp3zMDsDmE54JotKpdG+byrUO07QyQ462zEb4pE/0b5vRG6Qic2J3GBd2IHOHTnMkAbCOez0Ks9DDaRygiUUtzmRYqkg82rlztUcQw+9gKEw1jrfqS7OvObamqwfdpDldhyTAQ2ypzqaTR4YNB3oWAxdlzDCf0Yz+Bo1kDIZUc+DbCYQiVb+2EGsWnvmWoQZwPo606FPpc3nPOyEBsIapUw8EVT0Jkfw/irLAsvC8n0jbJvryc5twunLYHX25q9rsRsgElvBawiyo5HfD9/KvRcFlPrbGArRqEAuPmYpijvhxaLZsYL3JxS0GjKZgsxkwXs2nLgN24frojdAYk4ultz+fNdcQyIZXJX/HqlYLPiOOCaTGnEB5DJ/6YzZVxh/ePMkk8mLXMtGWQqVTBiHQCKGTsTwkzY0Js0+Xb8wY5oNvruuh+rtLy2UYrHcDSpzIIVOBG6PYtEYZlSjZEvcXCl349+KOCXCY9kKnKHtNaBV6W6/0qYQaqnzUd7QbPQQPH/kNrn9+ah0tmKRWfY6V4Jtm8/YOGRSdTyGn0xUfb9VYYynq5Ri1apVrFq1iuc973n4Ay3c/ujT5ubCJKUqluPxQizHU5e+tMve7kE6B7L836M7+dXDOyra7olrXkxzMjZyQw4dy/F4kli6WC/49HtqHcb0YDyGIytQ1sHv12iK8fmN16FYHrZRoUiOZ12aBlM0DaRoGsgL3qbBFM0Dg2Zdf5rm/hQz+gaY0T/AjL5+89g/MC7nUSkpbPZYTey1mtnrNLM31soeu5l9djN7naacvbmsrTlEWcbSaNtGiFlW3sJcbF22LCNIQ/tj2CkOLcuel+9shtuX6pBGLctWIATIZ4NzWVzXQ6eLpsArKaJCkesNXRZuE1phozbVqDV5NLZky4K6pOnUh7bidAbVP2iyUZlsof242JYctY/HY2jbQqUyQ63CYaYzKriKCPtMufMJb0TUJ3Fb6rBcH6t7IGeR1e5BZHCqbUu2ymX3yjCSLTmwIkeFfllre7GTAYbak4N2Ja3wJdrn2oU23vDmSOh6CI9rKXPzKMyQZrLm8xLeXClF+P7HgxtLdQl01IrrBDebwu2j2du0F2R4XZPhzZ9MPtsfZJzz1yn4PpayNUe2LycWVYn3aYjdOXpuVpnPklKFluwollWQBS6569FoCd83v1uVEP1tPBhCu/p4aB3XKxzKMIk4/aqZVbEc33XXXZx//vkA3PDDG/nFp+4Z8z7Lceueb006y7FwCNOTyvLJPzzFo9s7UQraetOksvkf4ivPPJxFM+qY2RCntS5Ga32cGfUxWupjtNbFiZf7QRXGBw3alYz4mLEY8x3Rcmjv4Hc8qpvSSo9KPCsLrEra2/k2Xsyiq76erln1QXX1MqLBJ29/DbB8n5a+QWb2DNDaN8DMvgFaeweY0TPAjN4BZvb1M6u3n9k9vczp6WVOd19VxyIn8Vjqd7HU7wIXKHLgtas69lmN7LVb2O00s9OewQ67lZ2xGWQccxc/Z7N0vXxGF/JjOm17qHU5zARBPuMYGd9nslQO2rIilkKTiQ2tjzkrbCBGlOcVdm4TcfxkIJDjMdMuGIuroxbFUJwGGSEdHRda0prs57bRlj00c1uJLdnz0Z6JRSlVYNf2Z7Wisq7JOPu+EQ2eF3SAI7bk0D6uLGNrVsbWTF2TGaubSufPJ4hLa222LRpzXJC11TqwG9uo3gFig2m0Y+M315mMb8ZFub7JKvcPjvAJi1A8Rji8plEhUvy6nC05tCSH17mS8balbMnhfhXmvSH4jIXjZEN7MvmbOppAjFQy9tbzjM02Km7Dz1cgKAtsymaBecxk89ncqMgNLMa5sbBhNi207QdZQp3N5j+L4U2l0MLc21f4015sXc6dk0LHHfxEHFQCaCi4pCrrgWcyx1H7MVkXNTBYaGsOstg5bCt3U6sYbTNUoJYTgEXW52LK/bnQtjV0iEUxxTbp4RjWQl0mhoPMsCqt88MLqowqHr88zXjiiSe47LLLeO1rX8v73vVJ7vjDGnRL08gbHix7xra5CFqhqvzm4R386fHCcbTHLWjmmHmNvOX5SzliVj0tdbGyd7+FCUYrVHoyTa09NdGWHjdByxj2rZUeOut6WRR6FJmkir7CqnTsSmnTry6TPbZsUGpoR6EnXkf3zDrMFMsG7avSlmqtae5NMafbiNs53X3M7upjTlcfc7p7mdfVw4KObhZ0dNOQyZTYweiYpQeZ5Q1ynNdm5j2IsF/Vs8NqYaczgx3ODHbGZrIzPpN2q8FkRsIMjuuayQEhn510HAg7zmERoyCbqgZTppMa2pqjluWoyIXAjpkXuTlxmzXZWwWm41+XMJ3HhsCiG4y/VakMOhR+RfbkgrG3AKqoQ+1rYyMlsE6OypZs3kudyaK1lxNIygossTHH2OAscudXYEt23cDuHYiiUKi4nlkej6ObGgIbZFB8JnhPQqGmI9nm4vG2OijoZQogGcurnXXz1zLuoOON6BlNWANp6OopFKPDfeeKbcnRsbblsnDlRCgYYau90Qvb4n1HbdOJhLnmoXU4fA89r2DcLTDy2FsIbkh4+a90scgFYyGNxKHDMb7h9pZVKHLDolOWnR+Xa1um0JFSoOpyx845FbLZ/M2a6Ge5hHU5JGdhjsWM4I0UUtN1cXAs/GR94We+VMGndNaMdw/36/movoHKsozBzZqSFuWo9bmYMBNaitDKPRwlbNLlyLlFKiEYNnGwfUatVK4QX7XRjJy5rhkl/n6Oluuuu45EIsG/vu0/+K8P/c4srJ+kFmvEcixUGdfz+eemdnZ0DvD4ji5+/+guvKI/iu9+4VF85CXLx3wssRyPncThi/X8/3hfrcOY8qgymcaqMJafaBWI2krDG414rqStYlgrdtm+QLltFFh24brRWKo1hRZoMP375v4U8zu7WdDRw4L2buZ3dLPwQDfzO3pY0NnNws4uGoqtuFVgAIedditb7Jlsic9ma8z867brCgoY5Sy6YLKM4bjB4qrLYZYS8pbloOKvsS4HmbWwAx2thhpaaUtVVA5t0YHAVVnXjOPNZArEWUH2MvzdL7a/RrN/o7Elh4TZs7CycZjZjtiJQ1uyGkihe/sgGk+xHTlaIbkuacR9cH54Xj5DXVxRuahK8pAMG+Szg7HQDmvjJxxU1sdu6yoch11O2EZiHGJFDuMZjR053E9x32+0tuRSRAVvkC0PxWbB2NtSwqmcRbmU1TZaSTmSIc0dm8j7UWxvhkJhHI6dLrYsh5lnzyu09XqBlTwU7ZX2ocMx7IlEoeXYtvM3kQJ0zC4cA1tmKAGY77LKRMSmr1GpdL5qepRhKv4qyzI3zkoQfn5HpNIbomGGfIKKKZW1YI+VsBjfJOSMVzp85jNjsxx3dnZywvEn0Noyh2Obr6C/d/jCYGPltrVfEMuxMHlYu6eH257eiwZsy+LS5yxgb3eKvT0ptrWbMXDPWdxS2yCFQibpDcaphB6T6hyBMb4/SpfJYJZiNPbmUCwPR7m/9UHmuOT2ikDolN6356nKbraXsFCXtElb0N+aYFPrXDYtnZuzQmsdEb9aM7O3nyX7OzlsfydL9nWypK2Dw4J/Czq7cQ5iaoh6XI7xDnCMdwAyz+SWt6s6ttoz2RKblRO62+2ZZLHy9tkoYaVey0LVJfPLA+twWKFUgSlY01RvxsvF4vnpg4JMkQ6L6oT/go6ndoIxvzFjq1RaQzpmKqOm0mjXK1FYKrjAkC/QEy4ejS05KnQcx2TAXNcc04vY/rLZAlsySkFrM8r10IOp0nZkAO2bCslh1jaZMGLHsc15Rgs9BdbUgirJqmgqpLBAV3ATRLkmHpVSqAFzDd3Fs9BK4bT1mOybrYoKcAVEM6nFGdvwcaTMbbmKxtF9jdaWXIpo3I4p2KSiN2VCW2/4GQszuMG2mrxwK5vBhbxIDbOy0XbRispFmcByluVw3LgKb3bYVn7MddRWDEOty9EbGaWqLucPbh5SJURBd+TtUArLcQotx0G2v5R40raNXx8RokpBU3JIuzAG42IosS7rms9rqTH4A6mh51PcptgmPRxBXQBdaeXisQjSqCOl2oTjcycjeuzyrr6+ng99+EN8+tOf5u0vX8FtN07eCscgglaoMpd98x8jtnn/b9bwnPu3BuNmY9THbba2D/D+C4/m5MNmTECUQgEiaMfOeF3DKvwNHpXYHuV5jJiZ9ih9DsMo0mFt0qEQjr5WlIl7qIW65GGHiF4jhI2G0rkMcPfMerpn1vPk8kVG8EY6hY7rMf9ATyB2Ozhy7wGO2tPGkXvbOKytA3uUnalZepBZ7i5OdXdBMPQyg8UWexbPxOawMT6XZ+Pz2O7MwA0FY5jtC8VuaJGNxQoty76P6ug2lyy0KcdjuWyVrk/kbZCBmNNK5zpvOXty0NnXYDKRoS0xKJSiw45ebmohhVJOXhTaqrCTGdqSLVVo8Y0WjMq9Z0Gl3HjMxBfaQ0OramhLTiYgkTQZpkTcxDiQQmeyRsAVV0kOxKEeCG4AxANhHMxLqnw/P6+tHxFi4ZDVYjtyboxnBjKgHMdkgrMuTiqDti381ga8+S04XSmsrl6iBYRGZUcOP5BjtSVHpwE6WGEbjn2NWpMV5vPma1Q4dVGY4RxuaqDIFFPDilxgSEVlyIusYstyiUyujmRzcyK3f6DwekWty0Om7XFKZznDsatBATNdLIKixdXCMb3FVdQHShfFU0qZ6xl5TTJhbkAVY1nounh+eqFoiAkbmutKHqOiIk4ZU3SrEpTroXr6Kmo7ZoIbK2WrRI8Fy0LHJ2eGthp9kiVLltDW1oZSiieeXWPcJQf7mzABiKAVqsq9Hz6PXz2yne0dA+zsHGRnxwDt/YVWvVTW5+GtHUO2dSzFj95y+kSFKgBohcqKoh0zCjOOdpz2PaZtR7P9KE+hIrF8MCK57E3vomzzcJbq0O4cHa5mlRDLxW7MaAa4KEusbCN0UbrAoenbFrsXtbJ7USsP6CMLdFo843LYng4jcHcboXvU7jaO2ttGU6ryuX7j+BzrtXGs1waptQBksNlkz2RjbA7PxOexPj6PXc5MtFLB9CfaZIRC+25YfCoZzrtpMpaqbwDt+0b81iXIVVQOhINWCivjGiEI+cxUaMOOOeDETEEcTKZKpTNGjITzvxJkaYNxwUNsyVGB6/mEmVsdjRtyoty0M+MlVTwiIiJFffRAysThOGa8pGWhm824ZTWQMuLU80sLW2WZ802n85ZUpdCN9SaMwXS+gnGYtQ3ORwVioljYhuOkwyyy8hT2gR5spfCb6sgeNhsr7WJ39ptzLBbP5RhJ3FZaTCrcl6Iwa5trW2EGrrjidfFyywZHAbG87dQPxndnIlnCUhlcKBC5EGZjrdJCN8zGhjc7ylVWjohcKMrmRi+D5wPB+NyBokJfYeVy2zbfpRClzHzTYXa3+JoU25ozWWPZjsZSzt4cfN5zL2GoGI6glCr9c+mUEeNKmWzqCLNP+ImYmc+3EoaxUA/dMVjp7MEXX/J91GB6dFWYKyW01E9G9KyR24zAzp07+e8v/zef+OQn+MnvPs+1H/oa913/bBWCGx9E0ApV4bHtnVzx7X+WXT+nKcGshjiNCYeGhBM82rnnKxc288Jj505gxAIAGqzU5L3jNmVQetis48GiFaaK5cFSSsANd7zRiPJKxXK1RXLRMYe1VBdnkItt0uE5RJdZketQdO20X8buHNqblcnwRvurbtJm89I5bF46J29nDjTH3M5ejtm5n2N37GP5tr2s2LmHo3fvI1FhdeY4Hiu8NlZERG4vcdY5c1kXn8/a+AI2xOeTdvJTCmnPz8/DGVobw8xhqYrKiUAIJuP4jXW5SsrK08Y66vvGrhgKpUAo+KHwC9sPpHJjD3PCNmJLLhgzXGxLtjQ6FGnRcZOhuC0eJxm1JWezOWGdq24cFmxqrEelM8G8vJEpiyxFtHiS9nxwU0ZYZ7O5atTUJ/PT/0TG2eqgsn9oWy1w9+pgupugEJlyzI0Dq7sfq3cQnYzjzWoCrbEGMuY9GUjls9AjUUrchh8n2w6KeOnywjbEL8raQqEtufhY5SgX85CCU7Yp7BV+JkKLenR+0xI2ZSBfTTlyHhVZlsuI3Nz2ZYoXDbEu51eYCuiAJi92c9WXwWT6ozGVmCdV1ycL7cWhbbYEyvXyFu5w+7DadynKCLCSWeHoccquwXzGw6mxKiHmmOJ1lViJlTJiuVJ7cila6g9+22FQblBobzIyxu5IOp3mkksuYevWrXzwgx/iwgsv4MCWOPfNPlCd+Eqxd2ybi6AVqsJAZvgvdVtvmva+NI2BgG2uizG3Ocm8JmiIO3QNVGZVEaqMphrF8ASlys1AM7bdAmpMfy/VkCzjcE1NMaDKmmu7TGY02makwlHlMqtld1hq0XC2zBKLom9UuGl0mQoXlbgZYGnTtPi8FLnxtkP6v0GWOFrZ2bIBG9rnNvLPuY388+SjcprByvocsbfDCNwde1m+fS8rt+9mQXd3+fOM0ESGM9ydnOHuhAHwUGyxZgQidwFPxBdyIN5izjEYG5oLNVpROcT1wMugMlnsIPsUVofVdUFGNpVFh5WNw+rJRVMD6YY6aKw305YMpoMCVqOwJXt5UVMyawtDbcmWZYrwBMfS2oP+QEynjYjX8Rj+rGbTOe0fNBbmVCo4niY3xjdaJbk401pfZyrjRue11fkCXbkxztHqvgG5Il6B6FGuhx3YkXVDEuKOsWhCvkhVlFFVSQ4EXCWFpAqyiOF1juwr+lh8rNFQSkgDxIMsdzSLHxW5MNSqDEMrKldqWY5m/SEvdIu/0KWqLef2oYcWowr3FVZfDqskB+SEc5SiMbSqxFjeaDy6oYxVuJhwWEApUev5Q+egzp3ACGNQI66IikgBvZU1RSmsYeaFHpHg5tO4WI7jMfz4ZJVRY+vYpdNpHnroIerr67nnzlXcd8t+WuqWwqQ9XxG0QpV4/rLZbL3upWQ9n52dg+zpHqQ/7dGfdulNu/SnXfpSLn1p8697MMu+nhT3PtNWsJ/XnXFYjc7g0ET54PSL5XisaHucLMdhhvYg3yLTKatsY61Gd3OjIqu6lR9fOOR45QTxcPZtVfRY/HzIQUotKrGwnPAtvpkQzNk8RKhH7M1Dbc3mpoJmqJXZjNel0MJsK7YeMYsth8/mFn08aCOW53T2cfyWXRy/dRfP2byLE7btYn53zzAnH+wOzTK/g2WZDl6WWQ/AbquJJ50FPJFYzOPJRbQ7zea8tIb+YKxeWM03HjMd7FxxJA/6B4xAa6gzAjfhoG3bzGMbjr11I9O3eJAbwxuP4ScTpu1AygiQqC05LApUbEuOvhmebz5b4VjPaCEgyGduIbCB2rlxhuGcozqoxKtCge3Y6MZ6UyQrFTcd/3Qmnxn1C6f/CcWhMkGbjFow/Q+ptLnBEcbueaazH469jH46opWhM1kjvFwz76dyPbRj481owE/GsHtTWL2DefFc6fQ/kfdzSNY2XDdaW3K4r9w2B1lUaqSpgaIxlhK54Q2UUEwWV1QOP0OVWJZLUZzpLM7q5uIrYWEucZ7FFlWtNRRn+YrstSXtzSGhzTkXh2XcFqUKNNlWvopzMUpBU5lMpuuZz/VworZ4bu1hGFWF6FAsV7TnEmSzUKoQVzVQCmuyjinVs8e0eXNzM729vTz91Fpu/9vtfOBD/87Hr/oSq/+8pUoBVh8RtEJVidkWS2c3sHR2flJxz9f0DGbpDv619abZ1jHAprY+ntiZzzp87P+e5MLj5jG7cfLOczUtET07ZpQHljv5LqS2KCsoh6A0vkPlGVrFyHZmT5W9UayGu15lBG3ufIoswuViHiKMQ4txQaMy2w4jfEvanMMsrypva86J+KCK8xALcznrsq3pmFvPPXOO4Z4zjgn68Yo5nT2csGU3J2zaxcmbdnDy5u20DI7ceVvo97Iw08tFmWegF3arRp5wFvBkfBFPNBzGAbspX5wnLDIVWgoty2Qk/SCjqbUpvmRZ6ETMTDkSto8K21BkZPycgPCbzN+JXJXlYWzJOiw0VGxJtshlmXNTn0QzOq5baCUNx9tms2jPD+yqGcgqI25tG91QZ0R3MmGEbdZFDw7mOtfmGKYibs6ObNuojLEj64Y6Y8McTAfVkfMiTWezOREezTqZDG0wJ3Fgo1aeh1IKO53Fdmz8hjrceS1Bhtpk8+39XeaaRb+Lw4nbsCBTVIxGBW6Q+S64mRDJoBfgFxw02JfO27WD/Y2KcgK31LposSkoXVE5tCwXi9zI/kZtWc7FU/TjVjx/bpTi6ssF5zH0B2yI8C1nIQ4zv9G2ZcItsD4XY1uF436jxGP5qbHKoJNxaKw0U1zeQj10xxqVzlbefsixAidIqSmvxkr4WZ+mKKU4/oSV5iv8ITjxwqWsvmljrcMqiwhaoer4vubEz/yN3tTw9pOmYOxsfdzG9TUXHz+fWQ2l50ETxgkLvOQ4ZBYPMVToTqw2GpSvKnYNl9y+4r+3CmcUzn89jJAM8e0Stt3cuvLb6zIrlB9uErUIl8/mFk8LMSR7GorPITbhErHp6NPhxe4QW7PGdAbD8XVhhjcUuZAT5kOsy0UiF8IkoaZjTiN3zzmGu08/1vTXPM1Ru9s49ZkdnPrsNk7ZuJ1lewtdMKVYqPtYmH2Wl2SfhX7YYbWwOraYRxNLeDy5hIwdN+IvOl2QsgIhq3JjadVAXuCGoi5nS856eXHr+wdlSzZCK5rBi3y4c9MAkbclh1ZfyE//4/vmeI6DSlgm2xkUd9K+iVGFduK6pOmoJ0yxLOV6MDCYt2pHp//xNdrL5jJVyrLM9vVJU5gqkzXvdyhmwoIyRVMVRT92OrgRoFxjE7V6+7H6B3MfDh1zcBfMQFsK50CfucHg++hQXJYStrn5eO2h64PsrXb96tmSo4WlDkbkljqHIcI6egOphMgN4wgFbyheQ5E4kmW56HgHJXaLqy/nzmUEW3NIccY3t189RPyWPH547BICGACXspbjkiK8mOKphoZBBfNjV1R3QikzZdFYa1SMQ/Gm3Pjlacqzzz7Lhz/8Ye6++24+8uGPcOwRJ6DqR57JpFaIoBXGhSPnNPL4jq5h28xuSjC/OcnS2Q0cOaeRI+c00NGfYZZkaCcMrcCPi6AdMxrGYxCt0oBfTt5VgKZyG3HYtsLzMLEN38YeZl7bsv2joChTyTCswN5dtKOSbUuc+5D6nqHAiOpPi9wY2bIZ3jLHg0AgF3+lCvS3QoXz26IgS/5YgcjNzdFrmTa56rkRkRsK3IKqyzZsOWIOm4+Yw29fdCpaQ0v3ICdv3M5pz2zn9A1bOWnzDuIjFJ1a4nezJN3Ny9NPk+mxeNqay6OJJayuX8rW2GxTRVlrk7UEM041mAJIhdWT27vyU4pYlpn7ti6YOme0tuRgah4dFReWAssZmrUNCSySBXPbhkTHS9q2ydqG1sYwOwzGWj0waOburUsYu+aMZvOdHEiZLG84prbYjux5BfPa6sZ6MxY2HMMYXEM8D9z8uGAsNXT6H99Yvc08qSpnM1Weh7M3A5ZlbMlzmowtuWfAXLPomN5iSi0bjS25mHLZ2wKFHhl7G6m8PWrKZaCHy+bmKiuXFrk5y3JE5AKFmerwNIqty0XHH9bCXIpytubcfovGihehioWkpUrOWQuUvXbDVesdUum5FKOoQmzu71X4V81SI2aHhyWsOD0ORRtxbCO2pymJRILBwUHq6urobbP4yJt/jJrE56smbclp4LTTTtOrVq2qdRjCGPF8TXtfmj3dKfb2pNjXk2JPd4rt7cZ2vOVAP2k3/2N430fOY8nMkavSKaVWa61PG8/YpzuJJUv0on9/f63DmPqMw9/KqlHpT7xWoxO/kYRYOcplrlWQeS63faVxhLbnkoK2hIW6lE26rH4Px8RG11sR4Vm8n1D8DiN2hzwvOJwqXB9mj0OLtSJfjCoUvhSJXEAFGV9lFd4I0QBakUhlOHn9Ts5ct5kz123hpC0jC9woHSrJo84iHokvYVXDUQzYSSMAI5Y+5Tj5qYF8P28x9H10Q52Z6xbAZ6gtOeyTBKJAxxzTJp0xGZF0ZkgxKRWKQ8gL3OjrsFpt8dy20U5udNqXMNYgk1wgNJMJU2AmyDCpvgF0/0BemCsrlx3MXZPoeORwahQvEFOuG1iMi2zAYdErpXLnUtxfU0rlphMKBYxuqMNrSqCyHlZf2mTC+weHzn1aCh3JzBbHU3DgCrK3UUqJqJy4LSE8q8lwIre4TbFlOTouN6SUdXmk/UeOUVLIVSJ+R2O5HW5/ZbKow2ZhK6muzfCieOg+q3Q+NSJ3vSrMSk80Z/zrPD7z2c9UZV8PPfQQl192OWefcgEDjzbhV/h5GC23Hfj+mPr0kqEVxh3bUsxtTjK3OcmJJdb7vubxnV25aX/ccfqyCKXJZ4uEyciYEr/l5mgt07bi8bZUoJODrHVJR7AOhEy5deX60X6Jz6tf+hSVVlhFFupim7SZFqnwGmk7uOZB5eqCfXtBlrf4pJSxN5etgBwVu7m0W1FsRNoE8ecKU0UCKai+bOlIZtfEFY7Lze3e0qhIRjddF+PBk5fy4ElmvtxkKsPJz+zgzHVbOGvtFk7avJ3YMJ3NmTrFhdlNXJjdhNt/D0/Z83gouZSH6o9kj9M6ZGqg3FjRWAxiDiqVQfUNmKxnUz3asqAunpvrtqwtORHHTypUIm6Wp7PoYB5fnUtgqWAcanCxPC9/rYJCUmhlro1t59+m4ul/ooWkHCdX1En7GgYG8+cTVH1mZisqk0UPpoKMq2uEkeMUZD11Op0v/JRMBNvHTRyuZ8bXhnGH1t8wVssa6oLXOleIR1kmFtU3gDOQQscc/IakWdeQBM9YlvVAMMY6FK1RwlgrsCVHx9zm9hcy4pRAOr9dcQa3eGqg6DEOhmpZlnNtS1iXc+tKVF0uOkbJ4QolhOAQ4TtaUVfuO1xmuR7pGCNlOEvZpIejnIW6mDLFtEbNwY7BLYMG8x042PlxpxDPfe5z+eCHPsiGDRuIb6mnfU9XrUMqiQhaoeZ4WvOeXz4GQNy2qItNzjteglCO8ZiyJ+Sgx8/CqAMbVfORxHKQRSwXftnT0uUDUWFGL4pf5hqFwjiyr2KbtGJoMS+dy4AGY4AjjQvEbrTvFxxL5fYaDVqbsbyhsM1llSPZ1uhmOowjIvijffto9eXA0l2wr+KphTS5Mck5e7JjUuyWgkx9jIdOOpKHTjqSr/mKhr40Z63dwrlPPMs5Tz/LEfvbS1xcg4PmJG8vJ/Xv5V39D7DdauGh+OE8mDicdclF+MrKV5f1jPhUiTjUJU0Hs70LK7TQjmRLTmfMWcQccOLoeMzMA5t1c+Nac5+2IAurowWQosIWjB0ZhoxhNW2CY4ZWR8cxWWet0Zmsmf4nLFpVlwQVzKtZlzDW4L6BwCbsgpsZapn0dU5YqngsGNNrQzJustCpdKHVNRjfm8vYBvFHBUSBLdm2UVkXO+uabHIijrYV3sxmmNOC1TMI3b25axUeYwgj2ZKjjx75zG0pwTicwA3bhGKyYP+agsI7B2tTLj5WMcOJ3IJ2JazLIZGphaLrSlVfLlhX4nhDfjnLCadymd9qZjUrEYPFNunhKDVueIT2Bz1tDwxvwR4Lh1Dy5YknnuC4Fcex/uHOsb0X44gIWqHmOJbi9CNmsGvNIBnP58wv3Mmv33kmZx45q9ahTXuUZozznAowur/No8F0uMe4j1HENirxPEYVP+w0R8NVOR6ysNwBAgt1RAAX26RDgVtw3uF2fukxwDmbc1GMob15SLGsSEXk3BheKxgzWWRhLihQVSabW+oWQUHV5ejUQpC3LOeOpfB8XbrolILB5jh/P/NY7nzucrSGw/a2c84TGznn8Y08b/0mmlLp4sPnOMzv5rDUE7w69QTdPQkeih3G/cmjeCxxGFkVTJuTzkAqhXKcQAyG2VGN6u5DFduSw2rJQeEpsq4Z7+jYZgybHYekGQObq4Ya2pKjhaRKTf8TFpbyKRzDGorbUISEYyJVkFnVOj/9T/8gDKbMOL14zMwfO6PZXNr+QchkTVvXDfavC0RZWGhLOU6QEbbR4fQ/g6kCO3IuYxudgzd8GyNVksNKzMp1zT5dUy1Zx8w4Z12fwJvViJX1sHoGjYgeTI3OllwsKktlbkOxFVZNHo5yUwMVZ3ChsNCUOfnCbQ6GSsbljtRWWeAMtWMXVF/2dcGYWQVDKxgPJ3zLxDJaATwk9OH+iI2H5XcUwxxGJZZLMV6W5dGOlZ7CLF68mDWPraF/b8vYs+XjhAhaoeYopfif153Mhy46lrO/eBcAWw/0i6CdALQCLzE5f5ymEqMppjSq/Q5jv614H6NoO7oM7dhO+WCt7gXHHC5LXMJCXUoMD7Uw65zwLR4DnKs4rSmYdkhpcvbmIbZmS+cyu7l1oYU4tDDnzkXls8CR8bIjWZYLOrO53YXZxsjxgnhwdGR8LvnKyrl5cclNG7Rz4Ux+tfAMfnnRc7EzHidt3MH5jz3DhY+u4+g9+4uvaI4WnebFmWd5ceZZ+onxUNyI29WJw0gHVZNDW7IKx4E6TnlbctJMKaLSLhrPZHFTnslAhlWS6xJmHtkStuSC6X+g0I4cTv+jA3EbjOMsyIhGKzJD4fQ/oR05rG4cZF11Q50Rp6k0KpUx42XTGfPm5d5TI25zlZMzlqmKXDT9T24+3LAScdbLC+MSVZK11jlxqwLxoFxjk1bpLKpPQczBbwpsyY1JlKdNdnlgmKmfyonGUpnbQLPo4jajsSdH25USueGxSmVyh4u3UioYF1vRNmH22cJ8PiJtFeSvG1Aw7VBIOYEa3nQpWjaSAC6mvJeGkpWeSzGqzN1ECsEq240LGI0wn8JcccUVXPayy/jwFZ/hb7+4r9bhlEQErTBp6OzPD3jbcqAf1/NxxsMmIghVxgin6t8Y0DA6RVpiB5UUbwpRnqq8bbjvYRuV2V0o1A7i3IqzqcMxZHWxAFbkp80JCaso66E7UF7Q+fSH3mgIb2qE2d388vxY3tDOrG2dm1M3J3LDMbvF1mUrX4k5HO87ROAWZLHCh9IiV/kKMpEsriKfwY1MI1RcUdmyNTqpeHTl4Ty68nC+/C8vZvHuDi58dD0XrN7AGc9uLjv2toEs52c2cX5mEykcHo4v4f7EkTxSt5RBK54vKhVmVWOxnC1ZdXSb7GJjvcleJhyw4qish85k853/cOgl5G3JocDzfdMWCu3IkM/Shvga/GBeW20VCsZgXwWP4fy8nhdUYs5XN1YZI3B1XQJ/ZhMqG6nanEoFIiWwCdj5rGeucnIw3pZkAhWvN/PhZoqmVgmrJBeJcFWqmFSwrXIclGMyt3Yqk7clOxZ+sS05KjgrsVhGBWRxUamoPTlsW2lxqeEypVGrcvGxSmVzxypyi49fiuHE7nBWbiA6hje3qNyxSo3lDS3zJY9fQgBH15U6RIlKzyXbjeZv4GjGnhZXKR8th0gWdTw5cOAAs2bPZqA/PWmvpwhaYdKwZGYdCcci7fp8797NfO/ezfzx6udz0pLWWoc2fbE0fv30L2owruhACA4zRc1YGOsct7pY8AzXtljcDdt4+NXGzlu+crIqN/YVysZbyoI9nKYdsv8KFLQOBR4MsT7nLM8l9hvam4dk1SOvw8rOylW5XedErpXP5uYqNyvM5yrcPhsRuUG2Jze3riqyLFv54+dDKQy8YPogHbz/ni4U+kGxKd9X+ErlsrdKwa5FM/jZorP4ySXPo6k3xblPbuSCx9Zx3uMbaB0YLHl9k7icm9nCuZktZHptHokt5q66Y3m47ggyGjNeNGJLJmmsx6rPVBJWyWD6nJiD31hnpvZJu/nOeGBPVr42hZFaGlG+n5vXlnSm9PQ/EEzjkxeCptNt2oaW5JzVN9rBDsbbKsfJi2fPy0+3lM2i+m0zHVFTg7FQR8fLZrPB2MvIvLZgxIpvQZCxJeZAc6OxIxdP/1NsS47MwRvN2kJEMIMpNmVZ5W3JGRerN5W3JQ+ZX3WYH4JoRjbarkQWN9e+nHAttXwkkRs9+ehxx8OyXC6OShiNrbmY0OYcJR4r/RNaXAG8eF25bGMJC/RBtSloPorrE47DP1jGq3DTaCp9T3FWrFjB2rVPk7hQDbXITxJE0AqTBstSBdP3AGw50CeCVpjcKNAxH+Ljs3tdIlNY+cajzLqOou2Ih1aArdHl/sqUOU4ohEuuK5UZHSmGosYjXUo1zPUuELsFmd68vbmU4M0JWV/nBW6Q4c6t8woLVIWZW98ORK4icowg8xituqzIj8sNrv1IIrc4i6v84MaMArIUVFTWjg+hzvJMJWVlm3SysjX9rQluOWclt5x9PJbrccZT27j4kae4aPXTzO3pK3k943g8P7uN52e30d8T44H44dydPJrHEkvwbCdvS1ZWvipw1kWl0uA42DEHHXPQ9YHVOMg+5WzJYZVky0LXJ4ODxowgTGcKsrZgMpdRcVhgSQ5swlpHBKNSeREQtSMHIpxg7lztBVk018UKYteNdaaQVDxmYk5ljD3a9yCbMUIltEmHAtR1USmVF7dKgWPnpj7SrhupwBvMhRuZ/mdIElPrYIyuX9qW3G+KVflNZqyzyiRRbnBzIJXGzPMbvUZlKFdNGYqstkVjcMP3ZqwiN2w/nMgdL8tyJVQiXisVT+UywCGlstkw1Aod3WS4KZxCStmkh4uxUkE7XEa5wu3HdcznIVIYKhYzn43nveok7vjuAzWOpjQiaIWa4fuare39rNvTy5odndy4amdu3aXPWcA3Xn/ypK2mNq2QBO2YUSWrFVVjx4GoOFisQGxXmqEdzb49NfI4WI/SbYY5UE6MlVpX4i9W2Qy2VgUFz1Rw3ILLWUq/h4KwBCOK3bBRUZMw25k7VjhmNazaHBW5RdblaGGqqMgtVXU5L3KDk1OBXTk8pyCbqyPjc6OBRSsrF0wbBGjfygs824zB1doyUwRFpgVSlsaPWWZqoJOXco17Kadu2M5LHnqal6x6moWd3SWvXwNZLsxs5MLMRrpUgvvjR3J3chlPJxejlUIPmoyvSiTMXK6+hkzW2HoH0yaLmoib7GLElkw6k8vMohTEHHRcQSIGnp+fbsfPizOThbXy4lZFOtXRKslBheYwE1pgR7YsiMVQCZUXm2AKL7keKps171tDnYmpsW5I1WYz/Y+bn/7H16bCcsSOrMLpg+IxM3Y4aksOCwYFx87FGpxLQZXkcrbkrFtoS47ZeI3N+HEbpzeN1dVnLNTZojmyRpNhjFKqenJx23IidziGq6wMpUUuDM3mwsSK3Vwco/w7cDDZw0qy7WXXM8QmPWzz0ZxPOFXSwRBUnB4XUTtWsT2FuPHGGznhhBPo3eyiKp1yabRkRm4yHCJohZrx9p+v4u/rTVGRuG1x0pJWrjzrcC59zgIRshOFBSRF0Y4V7VM2qzi2HY9xvz4ofxSdrkqFbzjmcjiLstIQK6P/wvMqKUSNJbfUhsXT7phYysVdIjtcLGgZmpUusEIXhxjag0scL7dNJdndwG9ccB8kEMtDrMvFIleDnVGF+w3tyioQ/WGM4YS0UZFraXxH5cVtiXHFZr+68LpEpwtylRHFts7fgLB0LnOL0ig7qKTswOqVh7PquCO49k0X85yNu7n4oae4eNXTHHago+S1atVpLk2v49L0Otp6GrgrfiR3NK1kR2yWyaqmUmYqnVgko+T5qJ4+tNZYdUljnbWMCAttyGgjgoFcllM79pDpdnJCdqQqyYG41WHbnNBRFM9rq+JBHKGwDYVxb7/ZLmGmItKODTNbzPn0D5pCUmGG1lJ5OzIYgZtKmSysYwciOrAlhxZhrQE7ZynVrguWPcQ6nbu3UYEt2ZQM0OiGOrILZ+arJWddY6H2i4oIVSJGotWToxbl4gxu0VsQBDi8gButZbl4PGupWKG02AWqOk73YKlm5nA02eHxwLIPvtq/Vfj5rirDjVWeRjzxxBN8/vOf5y9/upn/ftOvTXX68aB/bJuLoBVqxqtPXZwTtN94w8lctHJ+jSM6BNGM29jPQwqly2YVq7Lvg2UUzi5T8noUnwWffCXdkgy/r1yWsMRmusxNFg1DBL6KjDEtbqzKTbsTfR0rukC5DKU5VsHlDyzPpe635TO0wwjeohVDLMylrMtFIrcwm5uvumyF42szEZGryBWgymVptcLygwOGlZXD4lSWRjvRePLXpNS8uMoNLLFhR9bSuamBdNHUQJajUY7iieWLeOLYxVz3xot4zjO7edmDj3PZQ08wN5wXtYg5up/XpJ/kNekn2WDN5o76Y7m34Vi6cYaKuUTciEPXM7bkuiR+aM2ti5v3LxNM7eN5qHCeVicQtzOazXXuC4Sk7+fG2+amnrGcQkuy1uC5BeNsh4jb0IoZZG3RRvDj++YYrmvEcSptxuEGQlu3NJpd9PSbDLXWeTtybgxwMB2S64HO5m3JsRi6qcEcazBtxGz4+fN1PqMaHRtcoS05nFdX9Q0QG0iZscpNSTNlUTCe02nvR/X0GeEbmR84PP4QogIwur5Y4JoPXFGQfmmRGx6z3Byzo7EsR7ctV205Gs9wYnfIsslZZCfHeAjViRp/Op6W4HL27WnGjBkzSKVSrP37Hvp604U31SYRImiFmvHg5vbc80e3dXLhinnYh9Age2EaocuIqmow1q/EcFPbFLcbZVGoEVt7qnyGuUS21YShcnOpDl3JkPlftVPeUj0kPl8VitwwG1xiw9wY4KLjA0NtzoG9WYX71IXb6HDbIrFbVuSGK0uJ3PA8NPkpP3xKilzl58flRotP+Qmdtyor8pWVLdCeKpg2qKCislV43uHVyWW5g876kKmByM99q2zfZG9teHLFQp5csZAvXPkSnrt2Cy/7x5NcvPopWvtLF5Q61j/AsX0HeGffAzwcW8KdjcfxcPww3GzwQQqmyM3ZkrMuqq0DFYsZa69toZMxI8YybiACg+wtGKEG6OYGs5/BtMnoel5+jtZo1hYKp//xfHPdfHJ2ZLQunNc2nP7Htk3m1raNyA0ysdo3WVylFKQygYU6ZuzIqXQwzjaf6Q0rMueqJIe2ZM+HTMZkVuuM2FSZrDmf0IoOB2dLDsbqKtsy7bMudngNg/ZeSwPenEYs10elPVTWw+obMBWgXbfQAjqS6BhuDG4uuBEqKke3G0s/Y6RMcHic4cRuwWtNwdjdkGLhO9lF72iZyLGn0q8cEzt27KC+vp7+3sFJfS1F0Ao1o2MgP+bme/du5qqzlzK3eZysDEJpFOCI5XjMaMXI6u5g9hvZ/8EyHlZoyImtYbGNsBkNejjXQLFNWQdZwnKHiGrX0CZd9HnX8cJ2BOJM+UOFdSgah9qcI/bmYkGr84IvJxyLRK6JLzhGmfe82LKsoXCKoaBRwdRCOvIYZHqVD/ZAIDxts09tm+c6yHYXmPSsYIohuyh7G3nUFN40Ub6CtKKgKJVjsrdaW2Zsc5Et+aHnHMmDJxzFf2Uv5Zw1G7nsgSd40aNrqc8Ujc0EYvimmFTnNrpUgnuSx3B7/bFsis01Ij2wJat4HFVfZ7KLQQZY1deZ7Gc8hk6acbYqOv0PGOGpFDoZRwfjWlU6Y8bCBoWech072y5fRCq071p2PmsbChXXJVdIKpiDV+WErZcXpeE0Q0qhkwloqMuN/cX3zZyxvldQkTmXQQkLQwXTCJFMoBvrUa7JTofnbCzWVn6bEWzJ5ryD6srhWN7w2jkOWAq7sxe7k1xFau1YZBfMQGmN3T1o5uXNuiZTPFp7cpSoVRmGz+ZWYFlWYdXoKNH9Ddehr1TsFhy7RNtSBZjKZXxLMRksz5OJQ6Rw03jR2NhIW1sbjXPik/paiqAVasa/nb+MPz++G4CPvORYEbM1QFmaWN3QDqMwSrTCH4voHG6/Y6k8rBW63FjVku1Ht+8RhfZw90rKbTpcpriEONbB+NKhKxgq5n1MAa9hCK3Q2tYQKxK/YUbVZ2imN/I+FYQT7iuMiUDY+orofLahzomK5YqyuSUsy1GRG1ZRRuvc+GDlBuLWCzLiwU+A74AfCzOzQex+vi3ZiD1ZBQJ3iLgvFLgqvNmTUUbc2sFct2VsyV7c5q4zjuWu05dTN5jmogfX8Yr7H+N56zdhlfDPt+o0lw8+yeWDT7LVauX22DLuaDyOnniTscr29pksYjjuazCF0tqIx5iDTsTwG5Jmap9MYP0NpyDJ+EaEWhZ+Y72popzJmirJg6kiO3I041k0ry1ePmtbal7bYPodLCs//Y8ObMG+NkWrBsnH7NimarPW+arNgynTPmpLDov0BJZcPZCCgZSpZpuIB/MbK0ZrSzb7DDLPdnBzJBwvHBaVCs8lqMCsAKt3EJTCb67HCyzKWAor7WINGIGrevsLbxjkrmEZioVbqWzuKCzLung7yAt7GD6zfLBit5hSdQ+G23ysAjh3jDIHEXF8SDNz5kwAkk59jSMZHhG0Qs3IRuYGa0zIR7EWmH6b/LEaKwqwxjLWteyONZaty/YzRmI0U/7oQDzrSoW5H4jlYXdKeZFc7jgj2beLN1Oa4vlicxQLYF0UTpgNjsYSilMYkqHNjfstlekN//OLqj+H4jfan45WGg6PGRZ+8iIaVUPUplysxSuxLEcLd2lMfJatI8ekoOiUM6jyx1JBRWULtK3w7aIss2cEbk6kBssLr0v++Dk7uUtFtuTB+jh/PP9E/njeSczf183L/7GGV973KEftO0ApjvC7eEd6FW9Nr+YBewm31q3gsYal+IAOp/8JKiETiECVyWIH40B1QzA9TdYL7MF+frxtaBVOxM0ZxWMm8zuYNvPmYoSPGYscmde2xNQ/+EHWNtgm9wUPjwFgWaaQFJjpf0I7ciAyVZDV1fVJY0mOGRGs0sH0P14w/Q/kqyQHwkeH1mMw4roSW3J0jtuoKC+VvSUQuGFmOIw3GHtrdfVhRbbVMQddF4d48B74vhG/WVOYasgY3JBKs0UHa1kuFrnF24+X/XJU4leXPp/RhjbctDyViuPR/KESkTxlSKVSwOg/UhONqAihZiyekb/bUx932N01yMLWuhpGdAjiKbyecZpA9VAi7mPFxmGy8bDPNwaxXOkfIaU0dmw4JTl6fN8qK3q1a5UvWDXcuNshVZ1GEMBRSl3L2FDVbYRfURzR7GwJO3LOXltK7IZNw6xsMLY4OhbXiNUS1uVIO8uNHCt3PiUyuQUHLRK5ls4ngCJW5DCDa7mRZX5+2iBtYwoZWea5xrTJV1lWucJSOSEdzd7qInFbzpZsl7Yl753fzPdeeS7fufxcTnp2J6+49zEue+gJWgaHjrd10Jzjbeecvu3sG2jgb8nl/K3hOA7YzaaQFEG2M8iE4vkoLxNM/2Ohm+qNSHT9XIYxl0kNxCsxB5wYWgdjSV1vyLy24ZjcIVP/+NqMfbWUmdc2KhDDbG20SrLjmKxtWPEY0MoCLwPZrNkuqOycsyVn3VzVZjJZ0G5OUOZsujAKW3IkyxlmfCEfezh1UXTsbZi91cG0KWHV5NBubdtmzls/mD4pmH5IWxbunGZ0zNi5leebLG7voBHq6UxQoKvE78TBWiJLWZbLibxy1uXovkYrSqOMZtvRiupy12c4gVnJIUaap3ZIHOPw97IUtZhiaRoyc+ZMejrGWIZ4nBFBK0wKPvTbxwFY/9mXkIxNzgpq0xGVVdTtkp+BsWAqyTL8FDYHu28bvDo9pBBSxdvHNCS9ym6cR8c0VtAWRu7nWEqXH6PtlO/QlHMNaF+ZcZ65BSNYqouXF9ukNUPFcFT8Fb+nwXnrYjtz9PUwtmadE4RmvGXOLh3YgEtal+1CkQumTW58bKTqcqUit6DQU7TolDaZ2FIVlS1PFU4XZIEfDyzOwVy3uVxdODVQmH1VwTEjRaVK2ZJ1FsiafemYD+Rtycr2TQErR/PEisU8vnwJ1155Cec/uoFX3vcYL3xqA44/9LM2z+/nyoHV/MvAalY7i7i1fiUP1x9J1vVMtjMsgmQF1Y4B1d2H8n10Y73JHNpO8L7qQBxqIxh9bSzLyQTK81DpoIBUWLgpV4lYoZRjRJjnGaFXMK+tX1AluXjsaq5tOM423I/WaM83420Hgnl6YzEjCm0LPbPFvJf9g5DJGgux6waCKxDOYUd/FLZkonP0httFKyBDQTGp4mn4tNbkbN3ZfBtl2/mpgYLCYMaWbKHjMdzZTeY6WebzYvenUelgfHMqXWgHPthxuZ6XvyalhOlw1uXo8uHEbpSgCnPJ4lvFlDqPaszHO1bKZYmHo5oZ5BG31ZQsvCVUxMKFC+no6GBfauvE3Yg4CKQnK9SMVDb/xThmXiNvP/tIEo7cRZtQAjEmjI1wXGLVyYI9qA46QWuyZ05FrmNtafxEZcJcK/Dr/CFjTAtQoGK+sbeWXF96uWIY+7bjg1PUz9elbdIajCU2uq6UTbr4FHL+3hKZ36JMZ2FsOaVWmHmOTofkB+ItTLGGQk+BTvj5cwpiDackKp5+SIfVl0NBGKlwHBaBCi9hbkxuROSqomsQzeCGhZ90+J82nz/taZM1DY6jNNgps6EfCwpLheNr/eKpgTAC19Z5YRs9frEt2QM8u8CWrLVldJXSKEujLHDrbW47+zhuPWsls7v7ePl9a3jdPas4ak8bxVjA6e4uTu/ZRVdvkjuSx3Bb4/HsoNUIPWXlqwsn4qAc1EAKevpQyYSpkqwUuj5hxF3aRSvfCNusyX7quoQ5WCJu7Mj9g7nqyOFNA+U4hWKwhCVZh5132zbxhGIxHGcbrIMgaw7B1D9ezpasLJPtxLKMMFcKayBlBLnrBjZpbTK3ULkt2bHNuXl+kJXO5OPXfl5olyqEFb7HRe9NQQY3fA/C87Msk8XNZLH6ww+wEbU6mcCvT6Bn1OM7FpbrY6VcU+grrKjseaOzLI80Jre4bTnhPFJ2N2QkW3NIqemHhqMa4rdSxrvy7cEI5ijjHN50Z//+/SSTSV71+iv4x8++UutwyiKCVqgZOzvzVrEb33UWrfVifZ1onBTMWC9VjseCVpBtVLjJ6v/V1A5k68dw0yGXAaugqaew+iIbjUTXCB0MZTJ4fqnYLfDq/XzV3IJ1GpX0UKWCVqCKhGS5aC2lhxfcAFoZW3S0H+qFWd9AdJbL8pbadZDxLD6faKY3l90Ns7OhGHXzc1vmrMsxP6d9c1ng4OZJvthTXrRGx+Xmik2FojgUuSovrkoVnSqwJwfxa4JtnMh0QRqUG4hbV2FlI/cCHI0fD+K2zD6tjDk57eSLSVVkSw6ywtrx8xlrS+es+Moy48w7Zjbw48ufz48uex6nrtvOa+9azUsfepK67NCid606xasGn+BVg0/wpDOPWxtWcn/yKNK+Y44/ENiSE0GVZNeD9i5j+61PGpGYcMw414ybm9onNwY25oByTIVfX+en2yGffTNZWMsUQArfsGjW1lJGeAbirqCIVPhBilRJNgWjiqf/MTZilTG2ZN1Qh25M5rOanm/G5+Yyz5XZksOCTzg2NDXki1IV3DzSwfjX8M3MZ4Nz44bLTA2UE7eRLHdOGAfZdGUpc9wI2rFNdtqxcBfODKov+yhPYw1kTKba840Ij2bQo4zWsnwwFt5Kso1lhG9F2Hb1ReZI12U8Re0knipmMlf9rRbd3d3Mnj2H+/7wWK1DGRYRtELNSAd3rl9wzBwRszXCd2BgrmTFx0qsT1PXPg43BjRY7sH/wfRjimyDqixDa0OmWVUsnn1nZKFtZVRxMi44GDh9dkmhrS3wY6X/NPlx8JJ+XgBZoJMeqpStWWGyw0UHKb4UluUXtsnZe4sqV4cVp3011HIcnFPYbthphMLsrh3ZSJO3TuceQfn5+Sx11L6b9AsyqPiBQ0Dnx9tGxWVx8SkrtDdHktFDbn4UF5uyNAXTBWlQlhEllhfGG1ZEVtgDwXbB1EB+3Ly3KqvQrqrclhxeukDwa9+8p9o219DY0MmJW5Ri9XGH8+hxh/OZN13CZfc/yWvvXsUJ23eVfEtOcPdxQvc+/l/3fdyZPIa/1q9kqzPLHCudMdP/xGL56X96zTgylUwYARWMW1W+ydaiNSqVMbbYYIyobqgz41ozWSOqAqswkMtiFoxRjaqXcAwrFArbaCGpYB2QtyX7vsmy+jo3tleF2c+6JH5jvoaFCrLJFduSvSK7tuOgG+uNsM66uWJaOupaCTO4kC8uVeJ8Cj51xWNwQ5tyGHe4rW0bkRsUolKA1WM+gNox63Qyhje/NbB1g3J97L60aT+Yzgv74D0piLtaFE8xFFJJ5ng0llvvIG2hw4z9jVZ6LkVZm3Q5RnNdJ7OgncyxVQnXdWlpaWH/7q5Jfb4iaIWa0dlv/sh2D8q0MbXCd2Bw7vS/wzjepGapwEpaXZQHdprKix4VYWcg1qvLFgEuOJYPde0+qsKOhptQRpCU3WGQuS5R582MvywviK0y9m0rC7He/EbGUm2XnrXH1njJ/PhQAD/pQyJyMS39/9n783hJjus6ED43IrOWt/SGxtIAGiRWAiS4bxZJURRXiaQsaUYiKVma0S6NbMmjGW/SWPOTSS0c0Ytkf/48Y2vkTzZpWjZtWbYkipa4ijsBECIJYt/XbjR6f+9VVWbE/f64NyIjs7Lq1dvQr4G6v1/3e68yMzIyMqsqTpxzz4XJfV0RmeQH16TPieM0+7qUmYEob+YW1+Q62E3Y3fS84SY1pcueGvm5FA2paq7LvUSynJpXOYpsrRwDuI5eY+JuTB41GfOYo3IC4EO5oMCwO9tgbhVgE8szDBCsk7Z9zvAZNi1LJh1fdgEIs+SK631JZclnFvv4d9/5Snzoba/C8+99DO/+1M34ni/cij1rAzRjCQW+e3AbvntwG75pL8JH+zfgM/1rMbQdkQ2H8j89lRWH2rT9HtA3YGOAhS7glO0M7shFKaAqGB4FOfLZNQV9ZaP8D4tLcgCAEcjJT05NblJJb7P8D1HSV6mdG0H0yirM2qDKGzYCunl5ETQYSo3YabLkEJ7BrhDmdjSSvuS5XKs1oE4u28pS7lNa2kjlyREItZUG0ge6mYNbbdJjyzK+VgO5RAJySVhqc1rOIznfBtzvgPs5/AVLYEuwQ8mDpmGpbK4Dw89u2rTeZ+ck1naWz9xJYHPSsZvJOZ2S+zvTt8JGZMFPNzDaCSZ1F4O77YxOp4NBi/nebos5oJ3HOYt/9Rf3AQD+8pGTuO2xU3jBpXvPcY/mMY/NRcxp3O7IANfdwvEMDA7Otit5ghlNYRcbka8AdjhlZwa6Jz0WjrTvw7adOfY5CVPcMjdyXdQBcpNVTDeVBHN6jI+tgUg2gO9yrR+ux5LPmnmYrqvtH2WuzVanyJvZG3hlXdmZCqQ2mdA0TzYwuYDIlVOQG/ZtAtcU5OqlsvVAkP76al8qtD8NZ2VyiLngY47KpupqmzxZyvdU5yIr4xTybk0p5zdDghnJe2ZDsuQwXGomFXNt1TiqZnBlVJasCxBkGLdfewi/cu078es/+B14+5duw7s/dRNefff9rffs+e4onn/2KH767Bfwie7Vwtr2LhamcEWYP+p2BeCtDQQgdjqSQ5tZMZIiAg0LAcPBsTiATyLwnkVpZ21YladR1VKVL6mLN2n5nyizbTGSasqSAQGteQ7KIefwgSV1AFzlPDySvFte6MEfWBZQF8ytmrJkoAJYpuojA5HdpczK+FgD7ikbzCwLZsNRdGuOoYCDS3VWDu225eG2SJWrTQnIbZMsWxvZRiqkD2GJjPMM3MnhF7rwF+j9KX3t8yVKl0sX6wRXG6cAnO0AVBtpYxq4nAaMt2S+tBEWefOn2VDE5/TZAT53Iu699170+n3YXe5xMwe08zhn8V0vvhS3PnwSzMCP/f++gi/90pvPdZeefUGTWbJ57I6gLcwvgDHl6OT9jDJnM0a5iHXBrylNe/89kK8CVI5vMgWje8K3HidMYnVSNiKp9nnLKXJCsYRaDm8wLortsZhupdeRrRCIDdgKmxiPJXWczhnc8aBuMiOjury5OeQ2ODpraSf2Rthc3wC5QAVUm9LlBDwigjwFASlIDnm2gSmOjKswmmwULIZ9AiD2MjbcrcBzrWyQT9TApupKHJzwQ5N1Odd9M9nAGavBlYDbDcmSDY/l2zJxHJ/IHuv1st4Ltgxn1URK85hHixn+8I0vxh+84SW48tFjePcnbsb3ffZmXHB2vCTFEkb4q8Pb8VeHt+N2eyH+pHs9PrN0PUa2IzJe9qBuV5jQ0oFOnxUgqzVdud8B9zowozLKkSPYVIDLvQ54oSeAciRsZ6hrWyv/0zSRCqEuyRwe7KaMNy3/Y63kATdckgFUsuSiELfhbgd+ebF6/FJZsq/Mn1CMBDRk9Q8PDi7SSTmc6Cbd7QALPVDpqpJIka1NrhUAymCANoGZjidsAbmTJMuJs3IsH6RsbgS5J4Tt5jyrnacpXa42qOvy2kjaaHNd3q683a1GmyQ5dXZui/UA4UavYSvAeaPn2b3GvOdFvPKVr8Rtt30DvXdi83L2pyHmgHYe5yze+vyL8b4/+iaAek3aeTyNwZLnOI+tRWrGs/1tb+HgcOwsfWPMzM4CCrTXm+Pkkxt0k0pOM7DmTGtfTCEsHkUgI/nLdlxBinxF2OGUXXEdgutUnfYZMNpbzxt2OcAKkJvvDTtQx19jwbb6+mSjzG6msuZOkudnGJRRjd0lYjG9sgzqOFGVetMuXU7vyyTJcuq6HFyKw3FJO+SoqvlKqEynQvuOYIbVA5eWDSIPkfT6apGlYmgVS3L1YgVu5WeoxESlgNuZZMmssmRSRt9of4LJVlwDqP8dZcmC9EUiruV/xFBKAO6Dhy/A//U/vQ3/+N1vwlu+cjt+4BNfwWvvuBdtcYN7EjesPomfWf0iPp5fjY8uvRAP9C4SIDgcClDsiQMy1gZy2YORMJT9LvxiT0r7FE4m/wFojrx0O8/glxZEIjvqVEZLNTlyYGATwNdkboMsua38T5iMmgqAUlgMSmXJzgNl2S5L3rso11A6qR27OpC+lCVijmgo9dOWewtUTsZBnpxnlXtyszRQiCjB9rODXB2PSUzuxLzc1GW5kRs6Jl2uDgT3O/B7F8CZkXJDSR/sagGUXsoRjZI0K+/HZc1bdTNeLzbjGLzdoNtuYCV9q+d+usDzMzTC++cFL3sePva7Xz7HvZkcc0A7j3MWdx05E3//2TdcfQ578uyOzZaEmUcVO1KyJza++UNZJ/Azx4zznFB7d92+TTp1YP/athPg29yPAWFiG2tfw/3tpyBvYIb117JVIFur2jYlsPSIh3EKAklYX7aSI1wsJ7JaA5Q9yf0FoZZTSh6JvLkha7YM1wE4Y7gFD2QM6nhQ5iPI1csely6rMRVruaENg1xAAG6zfq7Kf4l14YAQTaf8ootMr+TgyrVyyFdNauKaouoLhXNTcvo0zziUJ8q4LktmVLVuJ8qSBUiH546IROYfDK9M1Sf5Ia+TIyn/Q6zlfyCAmFT6SrLgUPYsPvqtN+KPX/tCPPfxY3jXJ27G9//FzTh4Zpy1XUSBv1rcgb964g7cbg7io/3n4zNL12PADJxdESDZFclxrFdbOtgzq8LGLvZkfEoFtGqgFMv/KIPJgJTd8R60OhDgHECbrS465sWmNJTzwmp7Vwdnab5tcGQGNixLRi4OztzriutzKWVyasxtUl+3BjyBujw5vK4MbiiPFBnXoows7njJrXDDE5ArFxrPNQbqgdlArjo6o+GSHUsKEY0ZJVFRjgNqPTf3u2BLKC/cA85T2QjDFD5ZVQLMmYHIvUM4Py5vTmOnAfBOxNPZj62U/JkHHn74YVx22WV44v7ju3os54B2HucsDh+oZqZffuA43nTDxeewN8/OYALK/i75gjuPQ6SZO9Ou5CBuDtVuqj7ujLtHBm7aPmZye5tinnn8lJPaaZNQN2XSxIAp6mywHQLZGmBGjP6T9fy5wEwW/brZFWcqb1bn55qs2ROyVQAg5KdlQ6jb6jsM3xNgRj0nJlUN6bIhlvq7SXgvCa2trssBSLZJlkPtHpUVc8jFTZ2VnanKBlkGcgUKJVXlgoJqNphLlZW7cmDum6WBwgJAqyxZ+zxRlkxyLjbCErORfUSWDJGBBzY4XCsQZcnEJOV/CJUcOVNW2xOcHmsyj4cuuwAf+KG34bfe9Sa8+SZhbV/3zQmsrT+GG1Y+g59e+QI+0bsWf7p0I+61B8EDLfuT5xUTRQQaaP5lloH3LAqwsVZYQK2ZGlhKNiTlf2wG7ndBeQYUZZQGA4jMLSALMRNr2ypYmlgbdhZZMnvJVQYArT1LeQ7udYS9PbBXjhkVwi4PhgLCQgme+ByKYdTYxDiUBjolwJyUFUaeVfV9FehGJ2XnFHw32L7UUTnUu09A9UwgN5ErpxFziQ1F6XK8tEZpodo270FEMGfWauAVxoisOQGlfqkLf2ARs4QZlDBnE8MeZnl+mjnK8QBqB5PbLSl+tsSzgP29/PLL8eijj2J1ZXVXX+8c0M5jV8Tfedv157oL85jHpoMJO/JpygCQx9821cDMDHwEz+vvGtg3ctMnQTQl3WYioCWulZGpb2tg+waAqZ8AY+B1bBcCXLe+wfWA0V4BZqsulQ0K2DUFkK0y8tWkbe+xcBQAM1yX4PKqQ64LFMsEnynDbADjCChVwnxKxoKtbZUuk/UwCcsaQW6L6zIHkMsYr6XLyeCF+9J0VvYAa3mceG/1J1uulwvyBBpJjnRkXXVbLA2U3BpWkLuuLJnl3E1ZshnKzyhHNiT50Q6Si03CrEcWNpElB8a2uq7KSErK/8h4em9lXDNG0bX46GtvxEdfeyOuePQ43v3Jm/F9f3EzLjx9duw5WkSB7xp8E981+CbutAfxJ4s34jP9a7EW8khDXqvmpoIZdPwUCAAvL0bGE90M5LTMjrK7AESO3OsqkHOSe1qUylr6mJs5JktOWdvwt0eUJEdwC1TgbgZZcgCMrIZRZMTBWcrjdMBdU7HLoa/MMe8YzgNcYqI8GQAXOnEeDjEmKe52KqBLJOcIbHfTUTm9fpUst4HcSXm5rQ7Ltv1zr03CHKLpvlxt8CIzT5sfjJoQXSTMbX3JM/i9iWyFCP6iPe37epY8X9fyYTgqQKuD1r6DuVZCqzU2Y7r0TADJu5ix3K44deoUrrjiCgxWyl19vXNAO49zEsyMP/ra4wAAa2in0g/nsV6YimWZx+YjsFM70/YW3h20gW6pnHPmYF638TTfcmybo3awzRNejwfWdq0AcFskzrwRJKf7cuMnAuBSkNmQa3stlz3cX78vxAQzhOb01t2fswHQf0om0D4T0DVaIrg+wXXVxZoQa7hG6TJVbK7v6M++l7zbrpPcXL1+AmJerrFJn5ngvdF5PFUgtwFW47gSx/zfNK82BbBRnkwA90Q6SiOjeat6WqMLBVyNJ5UEU6KSDcdtVR/aZMnGSjumAJiFJc4KbSNT1jYTaThJSrBsMw1ZcrzVujAQGGNfjYPkFBOc5tuS9SDLeOiyA/jAD70Fv/XuN+JNX74DP/DJr+Bbb7sHbfE8dwzPO/0p/NTpz+GTytre4y8As4uAi4gk3xYAnVkBew/T7wlAM0Zkyd6DBhWwpaKMgNj3dLFA5cihNE7MtyWViBud4qUuyYG1DS7JADYkS+4GJpjVmbkUZlWBEIWSSP0euJOD+xl4ua/Mu4wBrQ6EvdW/EUoDBfY2ef5jBJkyMGY2hSyLub7c0zdpcFRWB+mJIDc8BG2S5Ul5uSGa+bWT9kPC9Ab35RAtQJCaDC+R1KRui6KEXavnVkz6GGdrwL0uuMWtlnt9+Iv2tH6WmtJL3vSUMKsjKUU1S2i5qpljtzoUPxMA+QzR6/UwGAzh3YQv810Sc0A7j02H94y1wmFlVGJ16DAoHYaFx7D0GJUew9JhGH4WHiPndbvD8ZUCv/u5+wEAzjN+7sNfxT//ay87x1f0LAwCeA5otxwbrSk/e8PYkpR5GqBsDb8OmKw1vv4unE3BvJMGjaeAYI8xVpjW63MLAK7/3bLPhLljrZ5rAhwZiPLmYql5DMEUFuQkh9cUQL7C6J1QAMBiRFUsUeXMnEiXTUmxnA1OCKD0eQa2wub6rubl9pyAWs11DZdkjIDg2Fdv4AozmcEtw5joMcFd2DPYVuAWQAUEO14AlJd2qNTSQMkYc0fzZZ0A21llyT6HLjAQwAzjIOWFPMEOKQJkNiLjRiJLRlhoMhg3kkpdksN1eM1/zqTsD7MRlYERp+Qiy/Cx174Af/raF+DwY8Lafv+nb8aFZ9pZ23cOvol3Kmv70cUb8anONRggF1Ad8m17XZHXFiVw/JTIlHsdwNbL/yCws0WZsJokRk1EUj9W2dAoS05dkiH3UCh1rv6WK4+vzSRLDmAry6S/3kf2VQCyAVbXIrglm8iHrQEvL8jfo6JiV4N7cmBxQ6SMZhPkNs2mmo7K1so5u3lsg5yvHKfLsnJWjtfJ9babn1Nt+bnptti3KWC3wfCOyZq9l0WKEC3y5lq7TSDdZIHDvt7L9U8IO+EzmfNMjMGmhO914Gc199zA9yU5D3tmUKkVNhhUunHH6e2K3Qq0tymYGUePHsWHPvQhHD16BN3lbFdf8xzQzmNqrI0cXvGrf4aV0c5adb/nVYd3tP15TAgPmMHu/YA6XyJKHbc7QomWTQbbDc0dNrTinDJyE/dRgNO6DWg/nlAZDzWCk//DrxPNpViBT7qtIZNu7RklzG9z/jwlJ3iSvFtKx8jvIYfXqLmTGYmM2Y6A/AyLM7NKl8uegc+Bsi8gl01lSGUKmeDaNS0xZAC2GXwWJMsM7nsgE4Yx5OWGrmddmRxGZ2U1nGKfsLdRuqoHmeRZDGCwCCY/AmJj7m2oIwthZqOMWOXJUNfkjciSQ3vOBqdlBpWIeeImyRWPsmSnEmxiYXENS63cwLyHSw2sbQD4I72WIF028ndgbUHAw5cewD/6a2/Bb33fG/HGm+7CD378y3j97Xe3PhqRtcVn8cnetfho7wbc07tEzr0mrBZ1u6B+TxjMFX1t2KlkvAtdUOHEqClIW5mB4UhATSePsuQgTeZQRzZMQg2BKJPJvXMCrJpOwrPIkr2C4pAvSiSli8I2lUKz1qSNDswj7Wu3E3NHeaEn54IwuHR2rWLwPANeWdwmyA39mQZyiwIYJiCXlM3VUjxRshwBbmWANcbmpmPUzM8N0ZAw1zdNYHo3KGseP5wxtjjYJhtO+9G+YaLzMKXy9wlhByPYk1N3qZ2Lm4sBk8IY+IUusNSbsfF6MEEY6Sns+WbDDAqYtQkrDec6Nnm5jz32GF784hfj2LFj8bXDhw/j53/+57Hv0ouBC/ZtT//a4omtHT4HtPOYGgzeUTB776+/HXYXr/g80yPkps1ji1H3Fdq+UDfXzR+PmWXEwkzyzF+Es5QqknlfG8pTNm4SEJ00H2vKkUMTkxSBzW+4hkyagLG8YQFLJGx186MvACDTInMO8uYm6E0AdzBMCi7OPq9ALl1IUbpsHJCtAHbA6JxmLB7xYENSUsgSRnsIriNyZR/8cjwJOA4LVGQBEumvz9RUqe8Ay7A9FwFuMJ2iHPDOwE8qG9TmpBzKE5VaIifdR/djdW3m1DW5pA3LkqsSQZJjzAwgk3sUZMlhASXIkn3O4A5kMssAQXNzSX7GZ1hzd9M8QWISN+gSMc+WSVlbQpRd+5zw3197Az72Lc/H5Y+fwLs/eRPe/Rc3tebaLqDEOwa34x2D23GXPYg/6d+AT/euwyDvCcM5GAjr2VHZbHDNNQTiDGwt0A25qb4CYcGMCVBmV8sHdTuy78qaAGFDkakizY+NzNVmZMlAHTwpuIW1wsrmeWXc5LmSDSfSaHlUbSUZ3rMItiTX57QubMgXTkGuZ4DHmdlWkKvXx4AA1gTkAqjKB3Vy8EJPQKbT8dXFgeTBmA52AQQJcxpxDJt9W0/WHBto/x6YJnNub2bC90l4ltpihjnamEx66s5qZjZj3+1oi6BxB8AsAHA3B3eeWTCqLEtkWYZDhw7h0KFDOHPmDO6++25ccdk1+ODvfLru0L3L4pl1J+ax7bHQyfDA+98x8/7MDOcZpWcUzqN08rPwjNe+/xO1fXu5wa//ye343996HRaeYR8K501MAw/zmD38phdE14+CNt34NPns2L6AMlEzNm7GGcyxNg0q46E0CGO5jbXjJmF4zzXGN7hLt+fiohUAj+2SY/xF8Nh7I3WcbpU5p8RmU9YcpLVjTi8VyGXLNenyaFl+mpJApYUpgXwFoJLRPelhiqpfRZ9QLFIEyEGuzCQA10bUb+A7jGKvBecMdB1MJg8vGQG4Nq9PaqOjcmEqV+RoLqU/gyw5AEKnYJABKmW1hzNlOy3AOUsO9QZkyXFIA3NrOD6DLgv3BWjKkrNVREdpqbmr+bZOWEi20JI+jLT8Tw3c6vWwCcAWtXJIAY88dtk+/OMfejN+6/vehDfdcgd+8ONfxrd9s521vc4dw3Vn/wI/dfYL+FTnavzJwgtwb/+QlI5ZWwPIgDrycNLZVTAzTK8L7uQC/MJ3ZnBJVtAXZMms9V0BK5JRz1r+RxyKQ75tjI3Ikiextz45LrQXXJNDMMf82TjCgcE1JKWBlHGWnM8OeKmn73MWgD4sEEodiTuyF5ALjDsqt5UNiud1OhYtwDjk5XZysO2O3b+adDlpr9V1OURaPzge0wIyW4DvmLy5uX8aU+S1UwHwFFZ4PcnumEx6WkyRULfFTIB/4rk2ALQ31C6B1rzUmt6NwTPKvxtxxRVX4PHHH49/33HHHbjhhhtw7bXX4M9PPjjrdOKcBO2Irnyb4hWveAXfdNNN57ob89imOLVW4JN3HMWtD5/EIyfW8Oe3H4nbvvrLb8H+xc6G2iOim5n5Fdvdz2dTdA8f5st+4X8919047yMtZbKt7QKTAdussUMf8VPlt2GfKYB6EvNc1bhtB8K1nNf1ri29JwHcNkAqGqZbNQnzpOtr3hMFuzSNeaYKB0ZmMAFstbbSPjSDVarLlVzZrjHyFcA4hikYIELRF4BbLEmJITYJeNcxYK3N6rvClnLXwywVIF2EIAAUSuw05MmILC4qJjdhUSu2T7dryZ8acAy7J7Lk2v1JZMkVQyu/h/GPyoI01GCLHGBHFBcOmFCV/wnllYLBlRGgLb/r/UmwnFxW9UCE8j+wDFJwS3qc0f54T7jsiRN4zydvxrv+4iZcdOoMpsVd5gJ8tHcDPr18A9ZMJxrnUK8n4DQYHIXIMvDygjC3AfgXLrK25Flyj62tATsajIC1AWJJHqAGbomokiUDdYDUNDRS8DWpFE7t7wAsws9maaA0tD8RzIR8WGVSQVSTKqMoK5DpgjTbV2A5AMlUDmxagGcTcLYxqkl+bnp9wYmYQgmmNIJzNdYHh63Ad9oxbTm0rbttngneidjN+GPW2ChD/nTFK3/8AN77vvduS1vve+/78B/+43/Aq/Z8Hx67/8ltabMt/vTxf76lOf2cFpvH0xZ7+zm+56WX4XteehmYGW/8R5/G/cekcH0xJedjHjsX5BOJ4jw2HZxhdmZzI+0GJnMLDUwFR43YiFvzLLV3pw4JTWCDA/BrmygEsFH7u/1E4xJqHpMnM+t/XD+wVlM1PX0AvzR+v6O8uZGHXDG7iMxurA2csLo1kBsWAgKoCoAqSJZzBUwdJTpC245gRwCVQOcMwxTAwlEPO2J4SzEnd/UiAud6DACzAuRnCK5DcGcsOGP4BZEnU8fHHFwTcrozYcqdE3MpLk0FXMMFhfk8CZOKTlXPNjK7YfcZZMmmkLGLGCkFtsHUKQHUnAEggjMsylk93oy0/E8moJStlFQKAFjGV8ZfWOD00aielVj+h1km5kYkzESAM+I4TZbx+KX78I9/8M347e/7drzxljvxA5/4Cl5/290wLZP56/xTuG71s/ip1S/ik/lV+OjSC3FP7xLwcAQMBmLA1O1UlDAz6OQZEDN4aUHZRAt0MsAxMBxVoNEhSoIlJ7cn5WLUlGnDsuQQzsu1p4ARaJeUhu957ytQqwZG1KXoAp2CaQ5thhJIqIAZWQtYreOaZ+CuEeOy1FF5VFTtBulzWBRwo1qfJ0qWU3DZlp8bIgDlrGGipOZdMEbGOv2MCExzOgeaJmtui7Q99nGRoBnxlYl5tOO5v7L7FhjSSTEpd/g8ivjef4bH6771dfi9f/N7ePF3XodH7zt6rrszMeaAdh7nJD785YcjmP2/f+jluGh5cwn/89hasAHKhWf+B/JOhxmpRHInYitle5SJmiUYKnedlQ6eYcI1ZsqUbpviwLweEK51YxKgBWRym0ZTJp0CyXSfTBrg0FCIwMw2wa6ylJSylGETJfcgAIVw7X46yI0liUyjndD9sABBAZxVpYVGexVMlwamBMxIXJZtwdh7n3R+tEzwHUK5IPm4dkQqZabKUbkj7RZ7HHi5QE2enIVyRCaWBYq5twHgJosAIAXDOU+WJWcesDQmSw7lxaikauziPdRTREaV4iIBW72XamBMRVhkECMpNpKDyxbwGQnDGtyWg7lVALfp/QlGUkGOHPNsEfNtA3Ahy/Bdgz/7lhvw31/9fFx+5Dje9clb8O7PtLO2fZR4e3EX3n7iLtxtDuCj/efj00s3YKV0wGhUgS6jZkzGgNaG4DMrIkvudgToLWo+6KCouxR7X4GUzAKUbUyWDFQsYng/RYZVFyfY1IEiEjarKU9ulgZKB0Nl1BNBriFgMKxArkpMuat1cRf7FcjVWrU0KqKzcmSH18vLTWNSLc5Uwjxs358yWx9Ha6I51aRolTcn5+TayuI6H/jTjP/UUGvs5VlA26Tc5Um7z2oKFdreSuwQ6DzfAfmsceTIEVx22eW4/5uP7uprngPaeZyTCCV7AOC3P343brxsDy6f1fJ9HtsXluGXd9bB+tkQfgbH301FADqbpH/JKSM1y74MraW6/t4pyJrcoIAIP2l+NQnpcosZU3LIGGs6aV9AStCkTRuqA06C5gOm+3AEyWOy6ABYuOV2a35vk+VOZc0EPdam4JQrgMyoS5d9cu8ic81VzqnBuHw3GR8mgDtSxxYLAnJNScjPCnANzsr9J0WuPNxjsHaRgDyfyznMSHpghhn4uBUn5T6Dcw9aKmEyH42l4nm1NBA41L7VMeDkfUIMdFWCmcqSnRl3S2ZorVvEGrWxhBOLiVa43rohV6C4Ac71OKMg2nHMszUFgUtIrVsj48UGoILAJQGGBewazQNOzsPiNqXMMlXPTXBmNspmA7Gu7aOH9uOf/MCb8c++/9vxhpvvwg9+4st4/TfaWdtr/XFcu/JZ/OTKF/Gp7jX406UbcVd2kVyVZ/DKqgxnrwda6Iv09vRZyV3t5ODMghe6YGNgRmUFjELd2KKsZMmhpA4WpsqSiUgWHZgSgNR4IzpddTBUSdzDZNjacedkoL00EFE7yFUn5QCsI8gN/VBQTsbIscqaynhUzsoAIsClohSQHPJyg2SZWz5k2tjMaaAuOiP7yDTX2kr/bLLbppJZjzVrOvUcUeaqFFIzAjs9qTzPVmRGbTLpKTHmED0ttgKiJrDO2xE7wlzvwrjrrruwtraKUafc1dc7z6GdxzmJlWGJ/3zLI3jfH92OkX5Zfu1X3oo9vaZDy+SY59BuPbpXXs6H/sHfONfdOP9jS0muUyLNU9zk8VHeOUNQOeO+LJN9s87+VE4GnBMNoQKr3Ma6BpYvbWaaW7KyqXHfxt+T+lUDjI2+QR2Ox5jvlOmtgarqX+hrBL1tkvBwbGAglc2N7suNfVtBbmgn4LmWsQAEEIoMF2I6dYbRP+YBEhdlHxyVu8L8+k7VHlsBtj5n+D1ldE6OpzYRxYCZpPata0iTY0eSsWNoGSATnYTj+EKBbXjuAsGnbZKrLrl5L7jRTqi5TF6f0wQgh7GL5X+AmG8bc2+DS3KI2nOmDG94JpS9hZb+ATFMYioFAJc+cRLv+uTNePenb8LF6+Ta3qOs7ad612Al14VgZQcpzwX8eK6DQ2vACz34bi7lcQpX7ZPOA6NTsf5U91sqHbA2EFly3JeqfNsQAdhMyrvV42rgr600ENDO4KZ/qwM0giNxA+TKPsmbuJmXm0ldTe52lKkmcVh2XEmxR0W9/0G6rJLmWrSds+1622I9MDjt2Eb+c3RtHmuDwFl7jdqas3MzknJGE2Mn5bcbKCc3Fs1ncbtjlwK8V/30RduWQ7uysoLDhw/j7/3or+MT//bWbWmzLT725P8zz6Gdx/kXi90Mj5xYi2D22593IfKdcKKbx/RwBDo5+yLCPNpDalXuQLuGgdxvvm3yoO6MX+YMZdNm+4JmR9PKHUpMAJvEKiVtOZ6csIfTnItrL03KXybE8jjVzvUdI+Ob7pawwK1gnGhM5syAyBqJxyXQkbETlhDQ+RXLLxNBbhi6LOkeV2xuyM0lvWdxvAKAMxXIreXlojpX01m5XCAM91uQA/KzgCkZveMetgBGS+qk3AHKBQAOyM7KRN2v5vA2h+8xfM8DmYftV6WBACDrOIBKuNLCK3s7TZbMmZPXVZYc82RzMa+CIwG3kS3nmMdMJcV82PReA9JOWmeYDYBQ29ZxZUTFgBlKGSXOlLUFRXMpdgIeOOexPPcoRw7SZQ+5DqP7EsH5qq4tGeCxS/bht3/gTcLa3nQXfuCTX8Ebvn5XK2t7jT+On1v5LH565fP4Qv4cfLx7DW7uXwmf5QI4RyMp/5PndVB6egWWWRjKBZG5MhHI+1ZZcszVzVWS3BWgHOrconRSbgiowKIV2QAzV8Cytd4tI34ATCoNFF6Lx4VFkhagG8oFNRyVa6ZTQRIcwGGbZDkw1R2RLPvlxfrnb1O6nF5Xm+tyiKb7chpN8LkB6W5TJszNc83YLlkjAL8t8gzcm8G0c0bgOFVC3RZBcr6p2OEyM1sB2+dJ3HLLLdi/fz9ufNkN+MQHv3auuzMx5oB2HjsW3jN+68/vwp/eVlVLZgbWCofVkcPxlcru/FVXXoB+Z/fWt3omx5bqnM5DgiET1m0OAoGaxiMbiFYH2Mkn2xh4zkQ+OfnkoQMtm1gAcWt+MAMulaamXQwAJ/zNKqluA9a+MgBC6EoAMLEBxPI2tUbDuXxt15hD2wS6BKi8eRzsyjko3ouqHwnI5eRyG9LlyD4mgJUDyM1RgVzFCKbU/ZulhagCuWxRv896fMpIFkvy05QG5IHucaD/lI/Az3UJK5cY+I6MlTEAVgnEBq7HKJYyAaZ9B7IeJhOjJGs9bOY2JktmAIWJGIicETDed2IkVeiigDKsIlVGrGubsu7xFgcWNdyXoAxgqVELL2NJTsy2shV5VqJLsqfqWfJ6T8P7IRLI1Q0IEnJ2ytoqwxvq2sKISzJbi0/8levx8b9yPS49chLf/8lb8O5P3YRLTp1GMzrw+LbifnxbcT9OrvTwyfwqfHzhetzbu0TefoOBnDvPq/IlVvJt6eyqgMdQHqffAVs7myw56woQLsoo1+XBUCTQ4ZoNRXALoAIkzbJAIbwuCioYi5LgRDLaCnKBimVuc1QOplNh3bYJcpuS5QbIHcsZzLLottyULsd77ZyUFgqR1LON7G66LcibJ8U02ewGc1cnnYdLPxkIz/IdFNyfZwl97mYN3kDN2rEIUvKdiDY362dY/OEf/iHe//7347777sNX/uz2jeU+P80xB7Tz2LH49N1P4p9+4p5191vsWHz3Sy59Gno0j7HIPMwFw/X3m8fU8IURp9dtb5jABdXKhWwoAgky4/GmnH1RiWn9fXkSQCYGcgZlEyZxEyTcHPIUw98I+cvtwJgacu0xmbQXuW1dxksV0E3AKQMVE8cNEJ0Ayjb353BGjuVCZMKeSphjTnKor6qya2bMBnIVsLlMO6SSZXKogLjm5IY5bZTMpqCe6sMfHJXXLgYGFxpQqeWChsDSox7GAasHDcpFybv1HVlI6D4VrtXCW0ax3wu4zTxM7gXTdcs4nq2y5NQtOdcLKklzbgEaGQGFHV+NFRBlyZwxXHAwDi7J4YZo8zWXZB17r88sWwJ5zbVVebYdyOKEzwWAeScyVblnUqs21lgO/zhhbQNgH2kJI6t5uUb+ltI/BDKMxy/eh3/6njfin/0Pb8AbbrkbP/jxr+ANt93Zytru4wG+d/RNfO/om3jA7MPHO9fgk8vPx1PZspawKarc1SwTt2RmYG0geaaDUSVLXuzVZMkcAGiocWs0t9ta+MW+MJadHGCuasQGphJoz70FUJMG11jQwOACMQ8XDZCr7W4byNXrawW5aQQGXK+nBngT1+Umoykux5AxTaXKoa5uek/Lsl7GKC0/NBYMcAOwTQK4s0ifJ8V6kujg/jxLFIU4cM8apmVhYdYgmph/vOXodkTC/QwNZsb3fM/3AAD+5t/8m/DDPnjP0s6d8PH1d5kWc0A7jx2Lb73mIP7lD78cg9JjZVhiZVjibPzpsDIscfODJ1A4j37+zP1Q2NXBBD+aj/1WgzIPm+/MKjBtIT/XM1XyznWCGeChbWVGW/vVqBnauk/RPnEiBrA2oR+BvWq7bgOgUz8p5a7OiMaGIOAofakpk1bZa23BQFm9IH1O24usXsijjJ1I5M3cYEYDAAUqWbFPuhzKFykB2ZQuB9Ab3ZeBqtxQYGEZCdgNE3xtL07a5T9KmOtaznRgcC1if2qh25EBrifnGy2Lg3L/KGPhSR9Nt0bLhNWLKeYZG0foPmkBWBRLDLfsZpclhwWMcF2hbJDXBQKm6JIsIJWjLJkKAxqq43Eo/1Pqc6uYs+aSHCTCCvSDARW85FUSi3EUmGIZoFCOiJXRJ4IaSenxIY/WoAZsAX3uSgJKZXe19A+s3FunOcQmJ3zyrzwPH3/V9Th05BTe/emb8L2f/yquePIE2uK5/iR+fHATfnRwE261h/Dxhevxuf41GHgj53cjYAhhW/K8eqiCLBkA97vikhxC3ZI5PMwB4DqHIEsGEXyvK9c2GEZwy2U5xt4CaGdw20oDAeMgV9sR0JmAtGaebK2NhBluAt1gPtUlBbS6X4O1bJUuh2hKmJMgBdFQo64YeQa/0K3v65LzA3Vn5ma4OrPKCQM9FqmLc1usB4SnxWZA8qzh3KZtJACMm3BtV+zkNW85Dm65BSLCqVOn8F//y3/D3/3Fv4OfeOPzgBPjSpHdEnNAO48di8wavPUFl0zcfuzsEK/41T8HANz22Gm87tqtvwHnscFgnXzNY0vBo2xnUmkIMrnd7OGWYfJmkuiknRmmV05kR5vhnZ2eAsWQxZKW54uZpgPiktDmzUwMYNAAqc2yOyEMKlYvRFMmrSC1dh2e4AKzm0qiFQCSSlxrZZp85QbclDUzoV4OSZnWFIgSAyjRKl0WcKmgLOTiqkHRmOtywg7Hkkl6jaTb2QCuF9hCVKZTynSbUXLeAKwRgLX2mRFNoRwA1yOQt8LcDoBsjbH/Lg82wGhR6t8O9xNcD8jPEjqnM5ElL0vNW/T8+rLkIFEP8mSjwBbCjFaSZVSyZGLwgoBfo7LJwDhX+cfikiyLCTp2AdjqGIAYnOuijxEq2KiRlHEEFHKssLYUZezkhFXkjAGL6N4cnqcauA3lf0xyX9U4ykPmzmQYRw7twW+/54347Xe9ES+/80F872duxTu+9HXsXRugGQbAy9zjeNmZx/FzZz6DL3euwKd71+Er3SswokzAWSkrSzVZsqGpsmTJIWUBs6VTsKuMW5AkdnL4XhcU2U+VfnoPDIZg58cALgBQltXlyQBa83DT7eGmtzkqzyJZDsxiG5ub16WxY9LlJFI58dhHY2BYG+BqjOU1RgyqktI+0+TNzSBmYFRInmozdFsrMGaWhYe2YF7fFGojsRHn4c0yyk9XbMDZ+XyMPXv24E1veSNO//XTuOr5l+JLH/vLc92liTEHtPM4Z/HU2Upy8iP/+st42wsuwf/nB1+6q+tcPePCsLAk89hSRJOfbW+XtiRl5pLgRrN/zLswgZ8hKGOQnf5lbvullHRp6xtT65CxV9VAy0YulY2LL0AmsG25uB4wRV19MCaTNhyNmmJkHtTxrePApZF77UjyfJN+BIBuCqoxn6EckiAcCJurDG8ETKmcmJOfDTweGFA5LpEsR3k0xwUQDkMY2NwApCN41XYslPllleaiXjYolMQJOaLh/EDsnO8IonZdAHsE3A/3VaWBsjUBuSBguI8w2qey5GO26qtJZMm5h8kSWTITXGmq90M0k9I+BOl0YMmDLDlcvwH8gpMxGMliipROkmtmZbpNeq0U7kUd3AbZubN6TMFyzz2QrYWSRyEnV5jaSGpqfd3IdusCgXRTXicmoND7rICNcw/WHFvSBRwyjJtveA5uvuE5eN+PvANvvOkOfO9nb8UbvnYXshbA0oPD60f34/Wj+7GCHF/oPhef6V2Lr/avQEl2fVkyICwhkRgm5RnYWqCTAS4BSgF0jgp5PDRvF4ak3iqgLswtZXJQXwyq8vVMHeSGm7suyNVnYysgtw38NaTLsb/hlwDikwgsdbO8DYf+VCduBY+t+byhD40cU+52xMRrvJEofR7b5FjyfJsRygCtl4fqXN0Be1pMlVCP7YwxSfVGY6dK9+x2sL1Nsba2BmbGg488uKuvdw5o5/G0x6m1AvcfW8EDx1bwzhcdwh997XGUnvG5e4+NpbzMY4fDEdzpucvxliPjLTGpk4IMw3Tclt4TGzGHjIBtpn0JPANYbp3iEAQ4tjKrDNsrW0nXpvyaFei0AVr2BB6ZGjAeY4UZoKFpYFeVQBquu9cGxsxq7m+jZAs7OZdrMbsKAJIKAYimJFBYz2MBPV5zZsekyw02N3QlGZQEHFMEtjEHN0peRbLMDFCZtMfVudgAHNSPLY7KpqDYASbE8QkS5dCe7zBGmkI4PCDguHMSyFYZ3ZOMhSOMYqmSJZMuCIzJknMP23PC2ubyJPnMyL0tTVXSKi1NFVQNGauclwJqkH53vYDVwkid2TBeSMa5JCkfm+RQB3BbgXkBrR4kQD+YSHmCHZL2VZ+jnOCtjDuFurY5KnOwGqPP8ZmlkNsLI6xtkCQDsfwPWcawk+Ojr70Rf/raG7H/xAq+63Nfw/d+9la86MFH0RaLKPDm4d148/BunDnVwWez5+Azi9fhL3uH4YM0uE2WrGVdaDAEM8N0OuCFnuSN9jsAkeSIqnw5uiY3QWEuxkpRnqyuwXAOdHa1ArdtDO4koylgMpMb9wmvJ3m5YTBnAbmxrRZTq3R/Y8aOpU5HGeQG2A25u22lj5IYkzeHCDLn9FyDCb4YwcW5LTIrCxXNayYC9zPwcr/9uLCb43bw3xZtDtGTQmvn8qxtt8V2sstpOL91sH0exCWXXIIrr7wSh25cBD68gdznpznmgHYe2xJ3HTmDbzx6Cs4zPDNKz1gbOZwZSN7sidURHnxqFfcfW6m5G2eGcMOhPXjJ4X34mW+7CmaHCmDPY0J4glnbvStu500o87bdEWSmm4XKHCb2s7CuBGHGZs3ZncFng5X9at02CTyzgRtMyOU1qC8cEAuT12RZw7Z+/dq9VxAU+0fgka3PHdXVVgBo/b1Bw9BFrt9zgjpEs7C7TbCr7r0BgLlQqsdRLDFjCgLcuHSZTR3kAoj1VlPX5TaQK8AzAW2KBYJpURz/xHSKynZHZbKyX3R51jxSAPBatirm3ibDzgraBhcAuADIVgn5WUI2YOy7Wyjo0ZLKkvdNkCXnDFosYTJ9PjOvDsHCxPpCn5fAqKay5J4ydCHP1onJGls1k3LC2kYDKgK4I503ugBRK3kUCUCKzwJbiIGbBYi5YrmdmJBxKRiHM3WRZoIJsuY85M2iMumi8OgoeA1yZM2zjaWgQOCk/A8TcHz/Iv7NO78Fv/eO1+Cqh47if/yLW/FdX/hLXH78JNpiGSN8Z3k3vvPU3Th5qosvdp+Lz/Wuxq2dy1GQHZclWwt0O+JoWzrg5GlQloG6HXGj7eTgzEQWk7yX/YCKuSxKkOcqNzOwuNaAD+xFzVxKa6CGMkC1T8NaLi5QA7opyK021aNNsox2kJvGpgBvs5Zu+nqeT//6aJE3x01N1+TQ/7YILs5tURDQIluXLk4BwiEy284Kt4Ux8EsLs+0b+rDZsj3TJNhbjVnq857Hcfr0aXz605/GL/7iL+KFL3wRrr3sRaD+rTt3whNbO3wOaOex5VgZlnjrP/nMho558eF9ePP1F+F/fu1zsac3ZwjPWXDCusxj0xHlntscBMhEdpO3iJSVmvVksXbpDMEZY92SQPkEWTIBpjuZeZ6UlhSYueoFgh9k7bm4NC6hbsqkyTLsYlFjfoMU2pcGHErFhG2FqZyTG0A9yJu5cU4YyKKC1hSmZMzYGblWTzWQm0qXg4lTaCuU3Ynld5qS5QTk6jDoL5X5lOT0IjGA4kq6bMfbCyxyMK5CDsA38kiT8jgR5KXEqbZXLjLKRZUl75Vc5M5pRrYqsmQmYLS3IUs2QLEowLZYKmH7wtoa4wEDGF30YSclgKJTMiAPAbGYiTHk/aT4hUot/9Pzcj917ElZ3Srflio5crKIIfnL+jxQwoCbcC/FIdk4ik7JppDx8R05lEZSC5YtC7toOEq7a8CWhP2V64Hk7YZ8W8NgL1R3Kku+/zkX4h8+5y34wHvejJfc/Sje+fmv4Z1f+TouOnUGbbEPQ3zH8E58x/BOrCDHV7pX4HPdq3FT/zkYmI5ISpMcUMpzUL+HKEtW0EEAeGlBXWANuJtXubTMoGEJRgJyE/dkWBvlyUxUARnvBQiHGqahBM5GQC4w2Vk5xASQm8aY23Jy7i2B3VpbjbYb8uZ4aNs5WiTP4dxhzMa3jbPCsTky60uEyxKYxAw3YqJ8elJsxaXYyPPH3e1fuGei9mdoN8QWp3W33HILXv7ylwMAXvziF+O73vTj+MB7/xj+wn1b79ukeGxrh9PmixXvfLziFa/gm2666Vx3Yx4zxB/e+ig+ccdRWCIYQzAEWP1wHxQOayOpPXt2WOLh46s4ekY++K48uIgP/cSrcem+6XKWtiCim5n5Fdt9Lc+m6F12mA//7C+c626c/7GDDO1WvjAFXGzggFlr1iIAt3V2IrQD5JCL2LoNAj5aFgjIMExWf33iVxgrYEy3T6p9m4ZKiskwTENGHoCvc0ZceOO5CBgZNSOiOkUSWNWUZA2lWqyC3AAqtc9RRhtArlf2tpDXTIGqbBCjcl0OElY9EQVAGqTK4Riqni1GdRxb1EvOIDlWmeQxF2coQ+wUTCfjG/NOA/g2iCZUteP1uM4JIF9lmAKwI0axmLgl6zldT4BjueRg9hRCpJGYSYWOBSaenS5KpBHY9SA/95pTG9yFoa9pzeNYc5gQGeza/U2BJyXn0HYAyc0lBf/x+dDjXKfhaK1ycdaFEKbkfZKct1nKKz5PujgRa9uqLJkgizVUerzy9gfxzi98HW+/6es4cHYV68UIBjfby/D5havxpYWrccaI+7GUuHGAsaBeV8BfAGKjAlyWwuRaW0larQHnVvYrfSU3DpLSNrCnRlUwpmaMRM5VZlNaOzfmqqbRlBKHMWuTLE+UK88QAfy25VZOc19eL6bN0yeB4UnnIGrPJ21KodMIiwfTYgogbu/HBr/YtqDe2zFfFmvHFx52Sbzyf1rGe9/33k0fz8y466678fWvfw2/93u/h5z6KG+/AsVo5zxX/vSh39rSnH4OaOdxTmJlWOJz9xzDT/3bmwEAn/27347L929QgjIHtFuO3mWH+fBfnwPaLcfu/RjdENBOcwa3Y9+JDsSYAHSBqYsDMd8w2c65bwfiBhGY1ppPj2WoHDh5zZmkVEyjX8qcUSamRbXTpWAq2cTOgIdCrUYwxKgBw4olra6HAqsb+0hVPmgAuiVF2XJgS6MBjgJIbgO5wcy6MWxilBTYX65AViqF1fMTI9Z2rTeirK2Wt4mGSE2wxi190N+zVULnDGCHjM5pkemuHDJwPVQssMp3fZfhDhTi6G2lUaPg1jsp/xOMvOJDx9V4pwZTwXCMmwsZpcqSkzEgp9c27fkOYDQMX2BqveRRI7l+nyvDG8A/ULHmOY/1qXnvQn3bKEs2APQZDfm2wUWatYO2cHjNN+7Dd33ha3jLLbdj7+qEWlpJOBBuNxfiK/lhfKl/JR7sXSTtpbJXMqBuR3Jl1eG45pTb70npmjwTcEvCUpP3oEFRMYyN+Sl5VmM0/RfMkMLxqaPyKJEshxzVjQDdpmS52jh5cKYB3xTs1i5qXNbcCsA2Aso2CoBDTAJnmwHh02JaaaG23Z3fGFh+umIXGyS96qcObgnQpvHAAw/gla98FX7iDX8fX/3MHdvSZlt87Oi/2NKcfi45nsfTFp+/9xh+8F99Kf6d2+oD8sNffgh/+23Xn4tuPauDLVAu7WY0dh4EI8oJd6Jts5UF0RbQMi1oA+ea6WrNZLn0REBMCQBrbqLx9mhkpwLgmhlxUyZtAGoAYpM7UBdjztWclI7hoYVbS3LKCHDBrKchKza5h+nKRN6zgCo3EtDMpalArtYxHZMuWwgwMai7L2t/Qv1TF0CZ9tGMFDyVKgmmMLYQQyLiKleYA0taPQM1R2VD8BlXEucg8TUMsJYw8glAN1KrFswRtJqiAoE1WXIyJ5wkS7YjYOkxD1MCqwcNimWI43UO2BEhW+nEckQ+B9xiJUvOeoWU/9EcWg65tExRJh0XE6yLCwfkKS7IcKaKAkYs/8MZg1mAKamaubkYUyv/oyZjwjZrKZ/ESMoUYhQWyv9El+RUOm0TYBvGLYx5Q5bMhgEnMmR57gGv6SVkpXyV7xh89mXX4LMvuwa/NHJ49W0P4K1f+SbedvNtuOj0WbSFBeNGfxQ3Do/iR4c34ygt4kudw/hK/yr8Ze8whtDndzgCBgMBt1ZZWjWBwqgAab4mAbItz8B5Bl7ogo0R5pYZVPoIiMUwK/nnfQS5BNRycf2iqL6iZLl0Vdkg/RlceWeRLIdolS7HwaHJIK3pvlxtGAO08iy1AN+2MC3y3c2Czwl5ujO3txG2MpsdftBWs9K2Yig1LRJ37mdqrK2t4W//7b+NEyeO47qXH95RQLvVmAPaeTxtMSzqb/zCMV595QH8jy+7HG99wcXnqFfP8jAs5SzmsbXwycRzG4OYZI6xySTaCFBmOL4y+5m97XX39ZOB71TwPEFe1iqhNhMuj3icedFyKLXXTKO0j2U1OWKRPofmCGJApeevzVsZUd7MhRkzwnIAgukWiGE7XvI/NbwXCXN0Zk6lqSUl5YdsrE/KoQ5r1iJZ9lIbNjKPCnJEqiwAUUCV7mLl+MAgtjkqk6MIbjkwh+r67I0Ogm+UBgrkNwGuI/uYUkGgIyAYLqWyZIsoSw5uyeSBYtHAOKD3JGPxqMdw2WC0T8ykyr7mGp+W3rqVHD7PUS452D2SI511dFEhExMwX5qKtY2AX9F9RyFOYdBk6b2WOaOR5FPX6tomcmQKCwikaxBh/EieLa8sNVthFqlUwM+AHci+Xkv8eC0zBAW5kdFPmPTqUaz+lkU2MY6K+1oGs6nefypL5o7F5196NT73kmvwKz/6TrzkrkfwHV+5Dd9x0204/NQJTIqLeAXfNbwD3zW8AwNY/GV+KW7KD+OW3nPwWGe/rB2UpbCzQ0k1ol5PSgIF5i/kxxal1LM1Whoos1VpoHiBXDkpO1+BXHkjRfAShyTIb60BZ90oWabEiblWPmgKyI2PAZGA12lgt7bBTwe7bce0Ad+2MDRen3Yaczjhs3VTUuhmzAocp5hcjcVW+zRNfr3VyHNQd4fa3iXBzPjIRz6C3/zN38R9tz0JWuid6y5NjDmgncfTFt9+/UV44P3vwF/c/ST+/n/5Bh58ahVfuv84fv+nv+Vcd+3ZGzo5nsdWY2fGkIEtAWXWWqKznmws/3NKBMOidfdpa2898DyhXUILEJ6ImGkM/DZzkpmguZfJa44qM62EhY2sYjBOSiXHKm82hkGdxjkZ6m5M4FIQuRtK6U6oOzBZD6Ng1/RlULw3AmRKE8sPRcBUSh/FddlGKTYbBnIBTNRT62MfTJAolhSioQCawOIGeTBbAZHVYKHmqFypBbRUUCbgKkpircpmVfqclh0Kz5bPBajVZMlOGDb2QJQla95sKCdULkq/yj5hpbTongIWH/fwmbgkc0YYLctx2RqBBwA5C+cJnHmYxVLyoo0HVJ7MTPAl1VlbyHlBLM7VBAG8WluYSgMmcUgWUycjxk4G4K6yuJF117HThZhaXVtl8TlT6GRJTKQYmm9LiWGfMuK6cKY9AYjhc2o1kqqOSphiD3GztUkOOwMMEtdhQHLUc8JXX3AYt9xwBX79h78DNzzwBL7jy7fhzbfcgec/8jgmRQ8Ory4exquLh4HVz+MILeKrnctxS+8K3Nq9HGespBXxYIC0Rh9lWZ2xcx50ZkVKAxHVc3CNAXezCIaZCOSclI0JIDUAR2VxpU1Xd1YmAjJp13flTUth/7SszKgYyx+dyMqNsbtxg3ZnHcAb/97A90mtHFF8cfL+ExcLwyrIZCZ4Wmw4T/Xpqs84qcTSdsSzoMbkwsICfumXfglf/eqtcF87LPWmd2nMAe08nvb41msvxN/9juvxsx+6BQBwZlBgee50fG6i7btwHhuPnfxe20qajtnYDZ75e59nBMsNk6BauAmAmDHRebuVRZ7U54RljMePNQiR1qYRGF9CTfoswIQUBNPYxC+AXT8ma+Yoa7Z96ZB4z8j4sSNwYeC0dqlT5o0ykYWaXlkDucyAH1o5NjCdygCSq+rbRsCUC9CEZVDXKTPrBcwFyXFwVh4R7BrVxoEt4JXkYFMtKhAjnss7isxtdE/OKo6LISAtMK9iwrQBWXKYa7MC7hxY6wKDAwbZAOgfZZjCY+Go7Ld60KDYI8CSVyxcx6BctPA5wy+XMLmPLsmmA/jcgz2J0Vd4roN7cThxlwGPymU7Lf+zoOz2SBZCfM7x+aMgJXf6catrJDU5sjLDnCvOs4TgIh3eDzSE5AwrayuSfYIdChjhTM2lUllyxOcKbANgLwnsEgAcZclckyUHU7Q7r74Ed159Cf7Ju96MS46dwhtvvRPffuudeO1t96JfTJ7gXswr0TUZAO42B/DV7FJ8deFKfLN3aSVPdh4oE3kyUVUaKHwoKciNl0Uk7rfGgDu5lIyxVDkqB6a2cNHwiGOCufxNA12haeblZha+k+uYNT5gWqTLIVpdl0OM1dKtbaz9NeZtM81waT3mtxkT83zD6y3nMbTuwioDswO88Nk5o9HTlk2dngXAcyfjggsuwCMPP4KlC5Zw+sTKue7OxJgD2nmck3jR5XtxyZ4enjg9wJv+0afxwZ94Na67ePlcd+vZF0ygwTr15eaxbrCa0Wx7ENoNjzZy/Ea+y2fdN/Zr/b5NnGsF5nDsAAVIbacNZUvC3wHgtoDmIH2tOcM2ZdLh+DQCI0kYmwhxKI/blDkn8mZWUFNtQ5SIusCKZT6aPtlcQa4Op5TyEZDLAeQq6CBlDG2/jCZUzAQfwJiC4wCi4AVkNR2W0XegzAMdBUfK3LouwfcMYtkgR5KDWyCaOTEpaA+5syx5oHKtLaWBgjGVFSDKqSPyBmTJnCX50MmCwygHikXJeTUjAY69YyJLXrvAYPUSqQXbOSnnKlcMOGOUexzsorhjGc0LtlaAvitMVfpH855DlZkoQy+pwhgs18eLvmLAfRgzAezMyrqWybhQxdqysqXCUDNgAWf13mm+M3lln6lqw+s9JK7Gnq3KwlPHalKgFLBuCtgnyJLZAcHYKrglH714D/79216JD7/tlegMSvyVb9yPN91yJ7791jtw+YmTmBbX+uO4dnQc7xp9AyMY3GUvxNfzQ/h691Lc3rsMa6HuLXspD8QMGCnjQ8aITBmocjVVKkxrwviSMcL0WgPuduRnJ5Oc3ESWTKXm5Dbr4zKDSlfl5IZzpZ8D1sDn7bLLMdflEA335THAO63WLdAqb06jFQC37jiD9HlSzOT0PGu7G5AdGdoYWG6LnTJv2oLz8vkUL3jBC/A7v/P/4vUXX7e+2/U5jLnL8TzOWTAzfvkPv4EPfvEhAMBvft+L8K5XHJ75+LnL8dajd/lhvvxv/MK57sZ5HzJh34GGDUdGZnPHY9wddZ3zzXyujey7XcEYB6+TZNKBeUwi5ogm+5hGGZbUKXhqNEFrKL3SWESI+Y5ItgXmTCXHUcKcODOH+Rt7YcPZExDYwdBfzfUly5LfC1SlhcoKGKOs5+VGdjCcP/OSehD6rYxvHG8G7JqBGVb1aaHmUmy4kpYHVjy9fl0ECIZIAaxFwM0YkyWn9yLU4A2g3Ic+h3EM50wiSKm7p4D+MY+iT1i9pMoZBgQIiimeB/YWKkdWJlPzm10pLskxz7Z2Eh2vguIYhWchlP8hNf9KF1IiG63P3SRztPS5iQy6Lgak7tECglF3SQ6O0uGZzLlyHA/AufGeCextLBMUcrSpGnwy1U/Sc4TmfEF43sNH8G1fuxuv+8Y9eNVd96OXgrp1woFwt7kAX+9djq93LsU3u5dixXQrx+FQUieRxlKoT2qNAM+GozIHkGuMmE6FskGdDEGuLOOrkuXgigxMBX1jbsshQj+AsbzWaHI1LOr5o56BoqiD0lnLBAHrg+FGTJ3zTwPC68VOYomNjMfTGbsY0L7qZy7eNpfj0WiEiy++GL/4k7+GT/zrv9yWNtviY8f+5dzleB7nZxARfvV7XhgB7YXL3XPco2dfsGUU++emUFsNMzBx4r2t4QjZcEIe6gzB6cR/vQiT4lkXs4Mx0TpttjLMYZI8qV/TXm8C9CmAfcypuEUm7ZuAWIFfW83RGuvbZHpTE6VG/2uOwQngCEZLBKomwpYrFlRBRSgTRJ26ZJkdRbdkt2ar8SaI27Jl2LwEGQ/2JuaM+pWs1XSKM8kNheHKUVmBjssZTt1/oQZI2ZqMp8+VkUV1XVGWXCqG8joGVmW6s8qS+4zKDRji2FwmrC8li0ks5/SayzoEwecGdsDYe58HG2D1YoOyL6CeLWBGFnzSwHeB8kAByhgmJxAJY2szF027Yh40UIFYy5K3rPcCDFBROSGj4yUvu9Rnz0HZaLlyYcLHFzuCkZQ8Pwlj6+XBjs7UuphgRg1ZsqGKBfbyUPpc2mHidpdkJMytnyxLZk+xFBDp82Zzxj1XXYS7r7oIv/Pdr0O+VuIVdz6E1339HnzrbXfjxocew7SwYFzvj+H61WP4/tVb4QE8YPbjjvxi3N45hDvyi/Fo54DIqxXksppMxSADyrQ2aK8rwC6wr6UDDdSUCojOypKTm0fzKe51KsmyV9Y1BVQt0uUYqetyE1RmWp6o3x0Hu812SgcqU9A7Lm+u9aeR09sqeQ4xBYSNS6HjQZPbi90IK04zflltpAzPDhGs2xK7FWxvY3Q6HRw8eBBXvuBSwN96rrszMeaAdh7nLL752Gl88EsPAgBed81BvP7aC89xj559QRmjd3D92oPzmBwy9yGw3/5vXe8p5ktuKkqCWTOzAWIWd9WZVWPrScAI8IGRa9kWSomMdSNMtts63QTI64H15vYWmfQYsZCYKAlzmDQQ2DGnDFtsZArYBSIrHI8QKrW24JCCXACVdJlQz88FgI6wuAJyq+tgzckFS2khZiWbdSGArB63T5Jf/cgqi0vKJBLMalI2CNC6uAByD1rQHFwtF1R0DeAAu2pgB+EC6+ZSFGrmJlJjLqkuS05r37bJkg3g9Tqp5DjWRl2rfWKIlMqS3QLD9eVejfaKJHnhqIcdMgb7DYplgusAvkMwDshWO/CWURzw4K4DdWQhwRBL6SUmOCsLA1wmkuQgze0IkBbzL31+SpE4c9croA2vy7gEBQaV0gfm5EEJ1xNAJgkLi/CIMUA2WTjwiSzZVG37TP42Ib/akuRWU8LIhvGbQZaMUA7LyKIWkeR+E1XMbbFg8YWXXokvvOQq/KZ/K/afWsFrb7sXr/v6vXjNN++d6pwMyCN3lT+Bq4Yn8PahlAo5ixx32AtxR34J7uhchDt6l2LF9vX5l45yyOkNYFfrvFKW1Z2VmSNIpNU1WSTIMgGe1oK7eQV2k8+6CD6D23Iaqety84OlKOslhmKD1WJWjCSHd72gAHZDMFeuzS2RSp/Htm0SCMe+RPfnWWL278stK0mn5SBvNXYz2N6mWFtbwxNPPIH9ywd3NSs9B7TzOGfxK//1Nnz5geP4npdcin/w3TfC7uI3yjM1mIHRcP4xsNWwmUOW7xDT3Z1dtteMALZn25lQjmyCCKa3i4EFTTBvCu2ZEcEOJ+wz6TxGgHDrIZZlIh4igKBJ3WiC6TaZdPPveAwn/2sogGHfGFdGJedtml15ASpoAt4AgtN+BGdmBTIR5DbzcwcmAkCvDsdQ4ymTSaNhDu5D7VxP4JGVCbcVEEKZhzUM6gu1WY4y+NUMqaNyYBtREGCsgk5xCua+OB2VHY4gjUrJWbUD7XMAq5ngOeMqJta6ZB/IPkGWzB2p84oAbJWJ5EzviQeME/AVZePhmm19scRnDL8kY14uGlAJ9I8xlh8WOXKxRPAdYLQMGBC6R6V+ULHs4ZY8XO5he1LX1ur73GemMpIqdWUi1LXNlCp2yiY6Ao2M5rWK41Woa0uFOE6zZbgMdWVAeFwD4Ax5skBc8OFcYEg0koqLAfLeY5LxZsPgXJ+vcH9JpbMGaioVAKvs0wQ40eBNn/WYb0sAMi9uyYFhtj6CW2OBUwcW8Cff+kL88be+EOwIh46ewqvueACvuvN+vOrOB3DNE09ivVhCgVe4x/AK9xgwAHAaeJSWcY+9APfkB3FPfhHu7V2M06ZfvWdSNnfACmgTkKs5txTKBzmVHa+sAgBMs15qi3Q5jZrrcnxRGGKOyeyNbc0SNs7BJKBT7tEE5BTMsZLwvclqtzHGOR6kzs5tUToBwtNikhnWVmOL88JJJZa2K3Zz2uZ2xZ//+Z/j+c9/Ae756uMbqh/8dMfu7dk8nvHxthsvwZcfOI4Hj6+ieIYXp96tYdYM+l/vn+tunPdRLgBld/u/2DhnuD1uqqx2WlDmkXXKmfw0yHh0F3zMwVwv/OL0RpkJzhkpFdOyjdfamWcqCWZgWh2QjSNgUDc5mpiDaHSyn25LHWCBccYXqEBv2+UZQKhs/Vm7JnkpMKTVBoy5Cdckua7ar1W6HIyWkmtlI7mLKDUPMAW5JrByAjYQ5Mo692avzCwDPMpkbmvkuinzyPcKs+W9ifuGsjVUGAGWAwVnXWVvlTEOzK1Xx19ysqhBAZiyAFbfW1+W7JXBr+XeBiMqTyCDpJYrVywwV7JknymjqfgSBLguA11gpUtYOUTonJY8WyZCfkZY4+F+gusB+RmDzimDss8oFzNwx8MsFZKzTBxLN7HKcFvr2urYciavU1lJy0EAd70A0kIWA9gA3OH4vDTfjvHvmPMqL9aMpLwwiVSE8ZVFBk4MtoQdV+CsIDi4Ja8nSw4PaDBpY8OAs1U/CGBvY85t6HiQJ5NlHDm0B//10IvwX9/wYjADB4+fxSvveBCv/ub9eNVd9+OGR59oeQOOx2V8BpeVZ/Bt5QPAGoDTwBFaxD3mAO7JDuLe7sW4L78Qx7IlyadFA+SmYa3sYy2o30OskZtGU7ocr0+BpbXgPBPX5YihSOTMRMKoJmA31sNtgNyx1I8pZjzUzFUO+b1jO5Lk+bZJi5PyRWOHtTHOzQjuz7OE91L+ZUYwOLFM0izH7gTIDvEsIWEuvvhinDp1Crff/MC57srUmAPaeexYnFot8PVHT+HhE6s4sTrCydUCJ1ZGOLlW4OTqCPc9KfbfX33oJB49sYaDS/Mc2nMRM+dMzmNi5GeBzqmd+HIj4LHN3yCfA2UfGJsVt+2bAeUeLxPadbvFoP76rHSWOZhOe3vcbx8v7wnemdZpiCsNeGjjBBsM0MBWLru1hrQETdpQAH/V4XXQGxhfdacdB7uoXmtjeiNAbgG7CGBX+lZzIg4MZMgfbTK5ySmkH3VmM9SgJb1GJkT2nE1gZZW51FJAFCqiMCpn5dKgGNkIbslwdFQuCysGU07LBfnKIZ1zyU9F5kG5FxY1o1ppIDMwki/qATNYX5ZMiSyZFdjCsoLYChBrErJch85oqOSktJAykUF8EFhcLa0zPACM9hmYobC2dggsPib9GlxAKPYAdij5wj4zKM9acMYo9pawXQdjGCZ38E7rBvtGXVuvz4T+E4CtCwSeauWVuCOyZDOscnBZGWjyeq+1/+Fzu+aSrC9wJveWjI69ZWW0KbK3pkBk+VmdkWGqBZVpsuQawA2MbADzZThe2ejkuJB7yypPBkEk8AQcP7iIj73u+fjoa14AMLB8ZoCX3PsIXnL3w3jZvQ/hpfc9jL2rs6XHXMwruNit4LXuYUAx6xl08KDZhwfsfjzYOYj7swN4oHthXbLsGewKcVgOYW3DcdgCKQMa3dsUmI4K0GodABIRkAdWNxdZM8J9NEC/0y5rjju1yJtDeAY3V/8mAVDNDaYWhnZMCp1G0+m5LTYgkw4xVhJpUhTlzOB37BxuY+B5Q+HclsD2+RAPPPAAPvaxj+Hhhx/CjT9wNe68+f5z3aWJMQe089iR+OX/8g382y8+WHutmxnsX+hg30KOfQs5vv36i3DdxUu48bK9ePHhfeemo8/y8BYY7X3mS2Z2OiTXbyfalYnnZheZyQP5GaCdbmzsywA9ObtVs+vmE6XB0FMWS4xRv6XzloGlUkrHNA8zjCxz7fOn3AH9uizOTyj/w96gVCYyxtCChtUCAXnADKmOWwMyCNLnZDHA59J3DjLf5jWlE//aRenPuFjAMQdS5MCIJkM16bKCj1B7Nz5jgcWtSZapweIq1iMWkFvqxJoAHhmRKitIJOthOr4CtwyRJ2t3HQDqOmT9Uk/F8N7ArWTKOhJQCHMLAMgZ3HOA9SAFrT4XwEeFAY0asmSVEU+SJQurGErRBLCk4FANowKAjLLkDLHkUMgtjXm6gUQ3Mk7kGd4CZw/LuHdOAtmA0XuKsfQYY7iXsHah3If8jLBfbi0HmxzlPge7ZyRpyrlQoD5jYbdLU7G2wf1Za86io89AEXJx9UExgF9wiCWXvJo5QcG+5m7H8j/6vKXMbcx/VjWCs/q642rRQKXxpqRYb3hDsuTGM56CW+krAaVFUBTUcm8tR/ltfJ8rgxtq367s6+JzL78an33ZNQLOncdzHz+Ol97zMF5690N46b0P4/pHnoCdEagsY4Qb/VHc6I8CxZ3x9aeoj/vNfjyc7cej+X48kh/AI9leHLfLwlg7X2f5yhIYDBCly0lQJxdJZigzlEbphMUcjmqlTwyRgOT0A6+TgxPQO0neHGIMDJdemOC2SKXPYw1NeH2WUi0NmfS0mCqhbgZRNNTaTDAAXmgvs7TVoCBRf4bGLbfcgpe//OX48R/7CXzqE3+B3/vNzwEH9u7cCY9u7fA5oJ3HjsRrrr5gDNAOS48nTg/wxOkB/vPPvgYvu2L/OerdPGIYwC08cz+Qn66IbNt2t8uMWNpkMxEYv1mOZ0QGbaa+lYCdkHIVInuSqry7Ztdy25pG6zOgXG53W3Y9D15y8YKIANtxsFnLaoIRBjmVUPtFYQ1DMEtplnS+6ocWGBlQYdQkq9o/U3AU2b7QTpA3m4TdDRFY28jeok65hjI2IWc3sqYVEArPVwC7pkjK3bTk5cZTkAzSGMhVeWnTdIpzD+o7GOJxR+XCoBzYSp5sGdlSASJGsZaL/DmAWweYM5mOjYL/ngP1nTKRUjs31Gs1wclbawCzaZElj+RafAnAKGhU110fCDPPSGXJyABn1RFY710w84rXbATMQceTDWNwUJrLVwjZKiFbZey/y6PsElYPEXymz4EBQBau6II7HnZJ69oayTE2VqCQL0ydtQ23m1jykQlAcEFmgAoDJpF0M0HGqaBKeq3Hy3VVYD0sssRH3gW5uo4TAcjCYgnXSya1yZJz7W+4N+G5MdV9jf1J38tcsbrEyWdAqQsqYfEntJMwuKH2bZQnK4MLQ3jwigvw4BUX4A++/aUAgO7aCNc/dAQvuP8x3PiA/Lvu0SPoNHNSp8QFvIYL3Jrk5SYK5AEyPGr24JF8Hx61+/FItg+P2L14JN+PtUwAUiwpFC67KWEOkbovd/I62G1jU4cjYKWSnRC1uCaHyDLJ603lr90OOGv5ACUSs6u2LioQbt2WljOaFG0y6WmxgXqmM0uZW6LVcXq7wkyQb++G2IZLvuqqq3DttdfikYcfw//5Ux+R76Tder2YA9p57FB85wsP4YH3vwPeM750/3H8wL/6Ym37w8dX54B2NwRBJ9Pz2Er4IK3b7mBMBIQzRQBBM5+L0YoyW4Ic1gXKVGo+Y8u5zKj9eFMCvaOT+mDBJnlgSfKXfYtMmnOgaOQfU88h6yQTM2J0umUN9HKv1Dmm5ABXGwjl0IpUdCg1WdNtIm+uQGKyScuoJAxXcHFukzCH4xPpchPk+uC+7Cqwa0qqL2AkQLcGcg3gbZB+Sj8oypQteGgqR2ViIFd35FzYVgEdBuwI5apMIUzPwfa9AF9I3q1ftdVCjyPQSgasAOh6UM/JGGdyjO8rUE9lyUN16u0kIJUR5eXkxJ25liutst4oSw4gjQDuymsmlgZS2W0CqkL5n7BIUCwxiiWRHA/3E+wAWH5ImOy1C6X8jxkR+KyF6xq4sxa+w/B7CphMZLWGGKbjwLkXOf1IF1A8VWAR0HxnFlCtebYx31blyFQKu50+WxzK/0yTJYe6w+E609xiBdEbkSXLwgMJ42oDc54wtxQfXXX9TZ5toJInU7KPPovB/Zy1z00GFwBI39OjhRxfu/5yfO36y1XxQMiHJa555ChuVJD7ggcfx3WPPIGl4QgbiR5KXO2P4+rh8bFtJ9HFEbOMI9kePGGXccQs44lsGUfyfTia7UFB2ZhZEJcO4KIGmmM0Zc1ZJjm8s4TzwNqg/vVzdrWVbSUF1G1sJ2d2yjYzEQjHtmfJs4195snmVC0xJqneSGykXxsNt4G84ac7eOveKPv27cNP/uRP4u/8nb+Df/Pbfx3/7p9+chs6tnMxB7Tz2NY4dnaI/3zLI3jkxBqeODXAkdMDPHZqELdfcWABn/7bb9i5FbN5bCwYsmo+jy0F1TR/2xxbWRC1gM83sBLuk5noeuGwPtj2aM3XAiq2cex1CBBu22ZKlWCHYCBbndyP/pH6V5zr5lW9VIiEeNTIG+a+g+0Ls5s3coTzjkxemjLnKG92BAwNzCiRNTsBRBFpKHCK8tksgKmKtRqTLreBXEDAj7K4vpmXm7oDpyDXA8an7VIlvyVUZWHSskEEYQtDuSBdFOBS5Ml+YOF9pvJlAcDZ/lIWBUoBv8EVm4ZGpMmTZMmlGE+ZoZhK2YH0w+cyZsHtOMr8SYA+QwEX1WXJ3qAy4tJ7LveFYxsmMIeeo/w2OP2SFyMp1wVoGSiWDUwJ9I8wFo4yVi8yGBwQYGtGAvjcioG3QLmvhOmXIM1vttbDLjiwN3BB0h2Z+ID2GAjyb82BhdZPZsvgRR9fI5Ulg9EqSw7jE+5hBLaBtQ3PHTYoS7YKloNyQO8BgErSnTpNh+c4kstcW/QJizNAUhoo9C/K+3VbuC5U+6TlgsqexR3XHMId1xzCf8TL5WKdx6VPnsZ1Dx/B9Q8fwXWPHMF1jzyBax5/ckNsboh9GGKfH+J5o2Ot25+ivgBes4QjdhnHzBKO5cs4li3huF3CSbMQZcIxd7cmax7UQViLvDluskbyc9MIrs3NCHm+be0MR+AzK63bjBplTY3g/jxLrCOh3tZgBpV+Z0Ct81sD27s87r77bnz605/Ge97zHnzzlkfBu5idBeaAdh7bHK//zU9iddT+gXnp3h6+48ZL8EdfexxXHFjAJXt7uGCxg2yXv0meyRFqFs5ja+EzYSp2pvGZSdPWmGL10dixPslcp1EByy05sLPGJEAb6ry2HuO5Dl4DsGnrhk+kueH4ErAJQ2IHQPekqTFI3lpwBrgOUC4mMjpiuGUH6nqY3CPLk5X5RN4sYDdh0XwAdQY8sOL8OyBQEfKjFUwF+WsqXQ7scvjZLDvUcF0OIDfUig3jQFq6J4DcCLADgwvIAgWhchoOQEjBGDtTKxfElkELpchqrbQnhkgELq0wkYZhci/75ALE/CADBqYuSw6ll3oOtFCCSwPX0T4PpaxNtiZ/+1zAW8iLlVxPvYYSqMmS86rMEyeOymDS8QVghV2i5HlhL/ebwz661sAWKBekvbIvgLv/JOPA7R7DPQZrFwljbD3BEmAHGWAyFHs9sFzUckSznqzMuMJGU65Y1zaU/wn3PUioPUDOREaTLYM1R51G6pKsz02s4asLGQaoJOeM2ofKRmXJ4Zho7EWSBy4lgnR7Vjkey2JJ8uymzzCjltMZ39+hf5QcGxjmKFPWBQxQjckFUJMsU0Z4/NBePH5oLz71quvk/cGAHXk898gxXPfwk7jq8Sdx5ePHcNXjx3D1kSexZ61aiN9oBBnz891RoCUtowThKVrAMbOIp8wijmXLOGbl9xNmASezBZy0izhL3THg2wx2HihnrCWfSp+bkWWyrS1mYTlHBTCjaddUCXUzlFXeNJgyasS1E9/P6ly9K2MbgPa73vUu3Hrrrfj//rN/jY/++8fgl3Z3RYwtAVoi2gfgdwDcCPnY/DEAdwL4fQDPBfAAgHcx8wmSp/e3AbwdwCqAH2HmW7Zy/nnsvviH3/9ifPQbT2D/Qo5TawVOrxU4tVbg5FqBh4+v4l9+5r6Jx/7id16Pn/62q5/G3u7+2PH3mAeylV36gXxexc6MIRtlXjbZPNuKuVl335Abt4FzrQuWp4FkU5/IJj0B52g9TuSRiYQR04AxxiTUYzJpbgG9hZgSZQMgP5uWCBKWhAlwPcD1ElY3U3lzLg7CNmF2yTA6PZE186JMpL0zYqpUGPBQjIPsmhGw25Aue6vgwACo1QpNfiIZrwhyIx2mQFfNp5jgczPRWZnKenMwFMsjcRbArUxIucjl9Z4D5VoeqCOA0BdSlsmrLJk6Xsyn+iVokcdlyV5lyasMdLguS/aEoisg2K4a2DWKNWsBVCZGCryiLNmLPDv0PbKvKkcmJ8BW2FDE8j+mqNjJUAopnCsMjNfSOoMLCKNli/wsY989Dq5DWLvIwHUAygVgdp6ywHGRKJf7C8AybIequra5g/fCTkMXBaD3DIx6XdtoEKZAJ4C8juTcBllylFLruLAuFOlQVdcTLmsDsmTS18gD2SrFz6mwKAOC5PyG6wjGZCH3PDzH8XlFnb2tPYDK4AY2O13PShZ6xkBucFSOz/G4szL3CPc/50Lc95wLpT0fFmaAC06t4rmPH8PVjx3DlU8cw5VHjuHqJ57Ec44+tSlWN40MHJ2Y4dAKegEBvqeohxPUxym7gBOmj5P674RZwEnTw0mziNP5Is6YLoYkDOm02qhcrGN80BZkhAmeelEbkElvJJjFOXoDObfN43dshpNlNcfqXRW8uOUm/tN/+k/4yEf+E371N/4+Tp44hW97zo+Ah+2lnXZDbJWh/W0Af8rM30dEHQALAH4JwMeZ+f1E9PcA/D0AfxfAdwK4Vv+9GsC/0J/zeAbF2194CG9/4aH491W/+MezpklgNMGQ4FkeO/4e2wr7Nw+NnRpDRlXHc9NtzMrQQmtTznYy38F0l2Ogkm62bfNTAPGkPijIS9v0dkL+MutEOEW7TZk0A77bAMiBCQvMX7LNFAoKinFlQ++ofJ26bh5lu/I3Y7jHg3MGLZYwmYe1HnlWAh0Ai9BqGlSTLlOQ6BaanwtEiZ7PIGxahrrrMjV+hjEDKvMpFuaMGRXrF/JwC60bq9JkOZkOu+bCRnkyBMiDAC6zyNx6zQU1fal/HObWfmTBo7os2e4TYOAKZSgnyZIzBmcOYKDscGS57RrVQFQsA1RWpll2oIArIxmzUIpG2VvSmrUxn5WFnQck39YE4JuYJXHCYJeLDCwA5RJhuN8iGwALRzzIAcN9hLJPKPuA7xLyFSA/24HPGcV+LyZcPQeTec21LcHewGdJ+Z/ggA29r3qNIa8aYR+92VGWHNjtsKbDyuoqGI0uyeEZCeso02TJajwU69y6aqztMD1O7oW4hCNKp4MrNzth6TjkkAfWFRgDuPJrO8iN/gAB3KdS/eCoHIAuAwHa1NjcwOKGnwBggZMH+/jqwcO45QVXIA0qGZc8dRqHnzyBy46exOFjx3H5sRM4/KT8O3TyFMw2yVszsLC9vAb48VzeZgxhcYY6OEM9nDFdnKEuzlIXZ0wPZ6grr+ULOGt6OGN6WKEOVk0Hq9RBSZM/zJkZXK6TK1puoLTOFAn1WBgC5bnk9242ZnVU3mh4LyWFnqFx1VVX4SMf+Y947LFH0e128d7f+Un88nv+33PdrYmxaUBLRHsBvB7AjwAAM48AjIjouwG8QXf7PQCfgky2vxvAv2FZOvoiEe0jokPM/Pimez+PXR9vff4l+NPb1i+Q/n0vvxw/96Zrn4YenT/xtLzHdII2j61FYDC2v2HIRGwrgHkD3+XkwknXj2yGckJsqL05AlyHW/smJkoTukHjYzEVFIfJbYgZZNLUAHk1bJ2YLtVk0UGu6oUdNIla0a4Rek9Zva4MbIByiVF0GW7BgxYcKPPIcgeTVbV9eRnRmKos1SV3oCyumieZkQ5YkCsbdaY1XOUwtuXlRqOsOjhypYHvUpVzGljccL1h7SC4EQd5cpBHl1Qx/cOkNJAR12TTZXX8VVmy9svkHiabLEtmI+wjLAMdDyaG6xi4BQH82aruq4ZJUZZcpjJrAKSy3MDYqnRayv8k+bnK+lfyZkR5uNH6vr6RI+pzWWAoF4BiyYBKoH+UsfiER9EnuC7g+oTRHgHJ3SMWIItij4XvMVzPwfZLuT1ZKP8jFLEbGQGuqRw5PJghRz64JAdZsmFwX1hu0vrBwSiMDYusODznnNzb9WTJpM8aAFgCZYmLdMrmDimkvsZnMyxwsZYWojB4oTSQLjTUAG76Hm4Duel7NzXZStysodfVBOjh/oniIDZSA7mmWYu6Axw5tAdPHNqDr/Bza5vYA1nhcOjYKVz+5EkcfvIELn3qJC45cRqXPHUKl5w8jUMnTm1JzjwtunDo8hoO8lqyyDFbDGGxSjlWqYNV5PH3FcqxartYNV3ZFkFwjgHlGFKGAeUYmBxDk2NIOQaUwa8DWGeu3+oZPGjkFG8kdlASTFm2fm7xeR4/8zM/g36/jzvvvBP/6lf+8Fx3Z2pshaG9EsCTAP41Eb0YwM0A/iaAi5MJ9BMALtbfLwPwcHL8I/raHNA+g+P//uGXt77+oS89iF/9o9uxpsXCHz81Yw7Isyvm77HzJDiwATsUW2FoN+ySPOO50jIhU9tqa4/Xy91u39aUUEfw25x0AhMl1GMAuCmLDixckxXidPLfKG/EiPLmpqw55GZCQRF5oHOCYByBjQGbTIDQIsNlQLnXRYbTZg5Z5oS5YwIvVSDXM8ENLFBISRejYDcbaacji6omScGJ1gAIrtxxEq//Ol7k3oyxskEU2NsAbhNQTx4iLw3jTdDyLxTb9h0Pp4DU9t2GZck0kIkj5wpsLYMWHNgZFCr/JQVtqSzZdTXfVtn2YCrGTsA3ZxyVCay1YUMN3Cg7tmqa5IW1JXUDRhny56txJJZzogucvUKMm7ongO5JRrbG6JwUdcPaQQLnQH7KAKcA1zdwvQyu52FCvq3WrGU1xGJPlYlUWv4HaJclF6Yas47cI9I2yKEmsyaVo88kS47gVp8tBiiwsJoSEB3O9TlJc299noBbAlJtcDT6slRnWDcKcnU7hXFyenICUKByVgaqurjJZ1oN5KbRkC7XNlnAW4NHL9+PRy7fjy/iSoSLDuWvwEB/UOCSE6dwyfHTuPj4KRx66jQuOXEaF588jYOnz+KC0ys4ePoMlieVAdqBEDDssJ9bwPYmVMojGAyRYUAZBvoz/D2kHANbgd8CFiOyGFGGAkZ+kq1etzlKymr7FPp3QRYjyOuTQPQ0CfZWQvKXn7kMLQD82I/9GL7lW74Fr3nNa/DOH34t/vnf+g/nuksTYyuANgPwMgA/x8xfIqLfhkgfYzAzE21sKkZEPwXgpwDgiiuuWGfveZyPcfT0AP/HH3yj9trXHjmFt/6TT+Py/QsgAIcPLODvfsf16Hee2atf68SOv8eyvfvnkuNtCPJUOcduY2z53pBKQHcgmgzO5H3at03t1aRmVUJai7UJ/aBxCbXPUXM5lgk5jYNeF2fD9Q0Gasbj68dwYIe4YnfTbS4Bu5DJfmA/jTJb3RN6TCJd9rmYEI2WRJ5qFksYwwJyDYNT12VP8N5IaSFHoIG6BY+UyQVFtsz1qTKdahjupJLNlMHlnOC7lZMyORKZaZqD6xKWz1MNFBlv5PwjA5fx+rLkzEdZMjPBnc0UiBFoZIRZLYwAjL6MAztB8W2yZGH9uSpvpAsP7AhUIJpIRdUKQRx/g5mWE8DuO9U9DddtRlS5/9YWCkTavXah5Npma0D3OINKYM+DHkyE1YsJ5aIw+QLCCe60lP8p9hWwHZGoI2N4L47RHEy/OLCuNC5LZl1kYJLyPxxYaQ9kArAE6OtzQXqjZ5ElJ+/9iKv1cya8Y8iQGhmhKhul7ytTEGiULH6EfF8D+FzZ25hJoCcwCYtrOelP47lN3nfyox3kVs7KqEuWAyZqSpaTdseky7F9BbqJ63J43SS1poe5xYPLB/DgFQekyYbCJwDf7qgQgHtqBRecXMHB02fl7zNnceGps7jgzAoOnjyL/Sur2Leygu56tWKfxujAo4MRllnLJTU/8HcABzoQCliUIJQwKMmghIEjqz9N/XX93SG8Lse6xj4F2bF9PRE8GTibwUN+9yD9neBh4PR1F15v7Ocm/D72d9oGGV0nJh1Sqq0bs37OoyyBwaB6SInG/4XX14l/96EP4eTJk/j9f/8fADPBQXsXxFYA7SMAHmHmL+nfH4FMto8EmSMRHQJwVLc/CuBwcvzl+lotmPlfAviXAPCKV7xiZ2Zi8zincdGeHv7b33gdHj6xipOrBZ48M8Sxs0M8fmoNf3770bhf6T1+/HVX4cqDW09uP09jx99jvcsPM28hNWUeEhydd7a94a2ZFQZWcSdCGZpp4acwuBMPZZoMhKnl5SmX15RQj8mkQx5fEkE6yhYxR7TaGEieJgJOJtgZ182u4pyWIksUAWBixmRU0ptKl7M1IF8h0BGpv+vzHN4CxTKj6DD8ogP1JQczyxxs5mNpoVhLt7RwJYELI3m5pUp0lXmsyW8zBnKuXU8c41y2xZq4nsAdlfoOTex/el0ExImr5LAqc1tQXZacswDTPJEljyyYpOwOGUa2XICIUazl4JGJwBbEQGG0j14ASJAlWwu2Iv+VhRBxSWYFvCHPNgA30hzhYDjFVvJs2SbXVMrd5wyRzRXmPTGRCqVrlPGT1xnFIlAsyj3unJaFhoUjjGzIWD1oMDwAySEuAawR/GoHbIHighJ2sZB1hrSUFBNKZblZnaxrsuRMblZwoYYTcBvAI1sPDgB9I7Lk5NmIj3rIr9YXROWQvAeYVMWAyHKHdgODKy7J0obkievbx6DqG2SMACjo1GcpmqQlIDccm7wP99ur5wABAABJREFU5df2D58ayI1Av2VRK7hMN5Uhba7LVePyowGQW2XN2r8yt3hiUdyZgzPzWOj7HJ7RGxXYf3YV+84OsPfsKvadXcPelVXsW1nDvpVV7D+zin1nBti7uop9K6tYGgyxvDbA0mCIbLOmS7soLBg2Rcrc+Pksil95P4D3/8a2tPVeiCvpez76/+AkgL3b0mo9nqBFHFp/t6mxaUDLzE8Q0cNE9DxmvhPAmwB8U//9zwDerz//UA/5rwD+BhH9e4hRzal5/uz2xfGVEW577BRKz/Ce4TzDM8N5wHH1mmP9GbfX9w2vxXYax/rYBuC8rx1T29czCs8YlQ6FYxTOY1R6FM7X/h656jXXcI/64Bcfwge/+BBu/vtvxgVL3XM0sucuno732BQCbR4biDjJ24GGm4BrozFp8tayozKNMzbczC9tCfLthlaR3WzbqCBmYptjc791TLPSiaxOeCdtB8TcpirtU2dvg1Ry3D2aqtxD1/IghAmrBZh8xWJxBSB8kGf6pCSNryb7IY/TFkD2pDCl3hqAcriuMLk+B9yeEsgYtl/CWikvZLosrN4ewJUWxdkccASzZqS2r9Z89ZmY+Uj5IEUvqZuymi+Fv9mKUZPLWfqfyJPtCLUPmCj1zSojJwqy5KG06bseTgGpXSijLJkdoVzNZJi7DrZfSL7v0ALq6iv5rUIH+47Kko2Afjhll52woGYkcl9vATJQgzLE8j9VbrCaLAWn6cBqs7KXnoAMcJmytcq2myR/M5pWJU7MvsMYHJTfiz3CdHdOMRbv8BgtGaxdKPcCXp+rExn8ioVbcLCLlVMZAch0AcOVMk41WXJwBY55pOogXhp9TqtntSZLTso8NWXJaW55ytzK84z45k7BLfT38Fnmm/Lk8KyzLhhwVW86GH6l9W/jZ2KQELtkkSkFuclzux7IlT/b2dxapNLl9Ngmu2sabSXuy2lMlTUnxwdn5vaQfYtOhqNLe3AEe4Bmv8OeQfpce1HA8PLKEMtrQyytDbC0pr8PBlg6O8Ty6hBLA9m2rD/7owL90QgLwxH6w0J+jkboF8W2GWPNY+eCARwDcDr5d6bx95MQViRoKv8zgB/dkd5sfQK1VZfjnwPwIXVfvQ9ynQbAfyCiHwfwIIB36b5/Aikncg+kpMjOjMl5Gvc9eRZfvO84BoXDKIA9BXyj0mNY+9uNbfvaI6e2vU+GAGsIhgjWECwRjKH4WhZ+N6i2UbW9kxl0rEEvN9jTy5Bbg1xfyy3J39agm5n4e57JQ/3U2RGOnB7glc89gAOLu9cm/GmInX2PEcbypOax8dipr+5pkt2ZgjfwNREYxln3tzPs2yixUzvdpFqzPAMQbhwwDQA3266V8Wk7R+2A+rYglRzrDImUOZgy1d5Thqt8QK8T73SiHyb5au4TSxOl4KGRnyuSZZUrq+ty7ym9eY9LKR3X60g5oSUPt+AjSDTE6O6TPLnorFyYyOBmZ5QWIyvXFZjKDo+D3PCv62vMLTzBj6jKXQ0/XQUahSFMZMnEE2XJAMClkWEZWHifgToe2YLkFvtCpbiFqXJfRwa+64GeAzKAcy2Z1BUwZ1cN7DAANsXeUU6MaCaFgrR0EmKdYBh95rT8jwlGU10oAxmYyAQURlZUb72+XiwxiiWgWCKsXWSRnxE5srfA4AIp/2OGBJ8T/ArBncrAOcP3HWAZpudAhsdlycElmYFY/ieArLzKlQ7gtyZLzrwcExZZElkyJwxjcDmuVmgQ92tLSZgkT64YXEhpoAByOVnY8Q2Qq+3E+xc/vxTaBvm7vt/YNEBuuJak3/H9vh6b2wJ22yTMtWuP75kE+KIBhJPxaBabmajybHoAQMdwwiqfsQC1yH6KPMNTixmeQosiTnOAp0WQSesf6BZlBXKHI/RH8vvCcITesER/UIHgTunQLYr4s1uU6JQlukWJ7qhEd+Tk97BP2dhH/7ZzEL1u3A0Bpw8C+DCAL0PMWvZM+HcQwEsgOWqX6b47EW6xA5zdWhu0U8nS2xGveMUr+KabbjrX3dixKJ3HHU+cwa//ye34/L1PjW03hAgKO5lFNzPJ3+O/P+fAAt7+okM1UGkNwRokvzfAaQJS5XfE43erTj4EEd3MzK841/04n6N7+DBf/jd/4Vx3Yx4T4unOb94QgN4IWN5oTOpDmOimf7dMnCdGyyRvLH+Wqw2tcu908t7y+tgYUsUqRfYzMRKqnT+VLiflRoAK3NaMp5TJrUBuYkAVAKRu9xZVTu6lBUzHweYONsmxdqWWDSoF3MIBdmCSeqyopMkW4wA3HYsApIKsdGSkT0UFTNIxAlDJTJXZhAJItpInS5arWqGlSmQtw/ZkQIzevGItB4IsuRDjJ+76ej8LAWxmaKqySAEoKfAxrr7wEuXIiZt0BGOaZ1sj1tScSe4FVUyjtiP3tf68kJPxsUNg4QmGKRmrlxgUi4hgMfYnY4z2MrjjRXrecfL4GLlh3pvKfCsFtil7GhygwjbNU66VgtLnMMiSa30mfcYCQ6/3P1VDhD43336pc3L1Iqr3HocFLoyD3DB2tbb0+QzjS8nrLR8RURreJiMO+094n4/9vk5E8Ns8hlBnj8M5mwxvi/Fd3NbyuTYVAE9oJzg7tx2znZ/1DGCihLpt/xmrCFgnwDcvHXLnkDmPzDlkhUfmPDqlQ+Z0W+mr351PjnHIw3HO6TG6r/6eOwfjPawDbOlhvYf1LK8xw3oP4z0y72E863YPw8nvnnW7Hs96vLaTJfvJsbLNei8lsxggsPyu15++/hue8Q+CA7Pkn+A+7/EC7/EWAM8B8FwA3wXguo3dvh2Jhy/YjyueOrGlOf1WGdp5bCK+9shJ/Nof346vPXIquvwePtDHB3/81djbzyNQzdYrZD2PeWxDzE2hth5bcSE+F+1OipqhzSz7z7DPxGuYsOJP8b/2jU0JdoPrqW0YA6RNmbTKlWspr3GSzXUDKTTAbtt1NSbytb44IFutZsky6dZ83QDcEqlkzZgqTMpDTqTmvddclyPIRc2JOIApKuX3/Cyhc2dHygctMFwHKBc9eEEAUXdB0GZaNsh7gj+TIztjQSMCDaSfrkPCjgWwOM1YyjKcmhD5Qn7OLEs2BB4J88w9J27IuQdyuXa3okZaen7TdbALIwG2K5LsalakdFLsa86grofvePi+GGjZVaPgTMaQLeC7ajClSl8aAVL+B2Ik1RGAHxYqAhsNJqn7C8AZnWwG+TggjBdVEvYA3jhjOAuVkcs4LT7OWH7YY+2AwfCAmlx15P53n5IHrlyycF0p1RNkycZ4wAhjx4CWTDIRNIa82DFZckYR2KZvxihLjiCeQCOqGGgk91LZaVDVQvr50sbiVuxpJU/m8F8EuRwXjSqgW+Xdh7JKCF5EBrF/HOviaj9c5HC1owyQvjdVNRBl9rGPCfhsm6JN+Lxrq6UbolZuKESZ7BjHrKXx5md2AOYT9w0D39LHSc7Os0RTJj0tFDxPllCPtz1T5IRhL8cQdWOQAKC3O5gxJiHfLfHDd68B/+C98W/nHH7qbW/DjzzveXjOj38f/vihO/Cnq6fxz3ZT7vQP/9KWDp8D2nMQn7/3KXzp/uMAgF5u8M4XXYpvvfYgLt+/ADvzO3we89h6EKsZzTw2HQxUUrZdGBsBxTsBoCeOywSp+7QuRPazQV6074xxOX1TJt0iiY6GTUgmymH3ail8osy5acLV4g8VO00liVFV8qLPhWHyORQoUSJTbVBdgcVMzX3C+ZVJ8wEEBDa3VGDNQH46sF0WgEWxBxhcpDm4iyWM8dFR2eUOfq+BdxRzV7NTFjRQd+KUubU8XhoogPEM4A5tTJas95INQKXWpe0wKDCzicsxexJZMmeg3MMeGEq+7WoWARjYAGqEBWV/2RPK3ABeSyCVAmJNUZX/ibmzulAgN4wqE6mcK+CkcmRSmTmznNZr3VYTrj2y3/XyP9I0AxmweglhcNCie4Kx7x4HNgTXkQWF1YsJvgtkZwn5GYLriSzZ9zz83gLGCtAwxDAdB3ScjIfmG8eFpVSWrP8mypKDZNcyeFHkyTQ0tQUkn7EsOKTMalgogDKILcxpeMZrefa6yFQDudpnWcRRlioxWQvvg7BAkZYNCs9lqCUcJOcwVX3caCjX+FBsky5XnU8Ab/ODKaJ6jMU0WXP8Mzgzjx9c/7kOImXbcq4QdoLjQvM6WxvGmEx6UiRVmmaLWQFt67kajtPbGIYAsrsIEE6J06dP4+Mf/zj+2i/9b3j/PZ+HY/mszp5BKWdzQHsO4of+ynPw6Ik1fP3RU3j05Bo+cvMj+MjNjyC3Bm9/4VZ9vuYxjw2EB+zqbF9C85gcMtneGTo1sAqbihZGc+J50gnkjAfMsutm5xGtc7eWieJMADjZuXZ4W3smOaShiauZ10xamW9ccAp8AyMV+5VO7BKQS4CylxSlt94GmWslzR1zXU7y8TjX0kIcGCCuQG5HjjWBxVVnXTsA9tydSQ5uJxeH3WVG0WX4PSV6y0MBKb0S3hOKhQxcGphTmbgID+WCOANcTyf+mV5h5iMAF6mu5hYrw9wqS07ckjmj+DyzhZSkGRhhuXtSPNXkDpQh5vECQDm0IMvI9w6ldu9Krm6/AsJADIyMAFsFyD6zgAf8SGv8FmImJay0jLOYF0n/zFBZ05IkvzaU/8m1rm2QLicA1vVYx16eJeMIcHVgG36Wi7Jv2SesXmTFGGwFMAVjz4MeYGD1YoNiWdyczRDgVQt/1kiN4wMiMScrkMNmHjZ3mChLDqxteJbz6n7V5MlefyeA+06e5XAvlYUP76mwmBFyiwPQpcb7IC7exBfq77Oa2ZRRAJYuVIX3mJNX4jl88v7T97FtgudE7h5crMdoREY9PzeN1JCqCRybxlQh2sDvrKC32c46QUxoNa0LUbZv41kAbQD4MwRvYN807WIz0eo4vZ3xdMuoNhn79+/HL/7iL+I3/pdfwBUf+N9xz6nxNMfzPeaA9hzEUjfD+77nRgCA94yXvPe/4/SgxM9+6BY8/9AevONFh3DhchcXLXfxksP7sG/hWW2KNI8djknmPPOYLYghZTJ2gqLdACBtizD5n+1cYSK9/nUEWe16l8yTVsbXObApA95szAKAx86jYJPQcqwQmSphawG74dgE7NbaD1LmJshFAyBzNcYBOBivEl1AJs1QNlclywKiqAK5bZLlXDa6TADSmLNyKS7PwmgBZgRkR4QZKpY6KBZz+B7DL5Wg3CPvlTB9RtEr4RzBj6zkro4MspXA5sl1uB6JoZKyooKs6vTSNFkyKSNKRsBslPg6AheZMoZiZBVkySGHlx2h0NI+drGAIUY5zMAjzQkdCSOLkYAR9OV4zhnsCF6ZXSoJ2Zqyy1rT2DgIwPFQkynZr1YOySqY8wkQ1vvjO3L9YczBWjc4MIgpo9gR1tP1gdEeAYajszJGveOM5UdEljy4gACVmlsD2EEOmByj/Q604EDWi3EQsDlZclikcFQZRxXyUEf2tiMsejDpQrhmShzCw7PP1T5BMdSUJ9feL9NArv4+VbKc5uDq+zWAXhPeN8P2z7lW6XKI4CrtUJUWCmEEuUcDq/SCpsma4/GYHLOuQW4SFLdKottiAiBuO0+rJHpSbJFhjXWLtzvaFiN2cfzYj/0YfuM3fgNvPgPcvUul0luJOaA9x2EM4ZZffgu+/ugp/I1/91U8dHwVH/jYnXH7FQcW8Km/9QaYuRR5HjsQbIHRvvNjhXE3hymrCfd2Bil7ttkV6uCAO+PeGwLPbDF9koXAdrR8dhEqmV/btg30Y9o8Z5Y50Bi2DpPotrYSxre56p8uHNQmjgHkJixRmEDXJMwNRidKJpPzVvvLj5rrsubl+lwmyD4Pk+/qvgqg4Cj39ioLjs7KTnJCY9kgBZLkCXYA9I/qDI46cF1g7RIH7nrY5QLdfgHuyZugKCyK1Qwojch3HWDXDGgVcB0Gd3l2WbJKWQPQjsyeh9Q+DYw1cawjG2XJPQ+7qOV/SkEmbjWDY4LplciWS8kRHlkgMLaOQGd1atRzoK6XMVTmt+gawAHZqoEZyDj7brUgQAxQyAV2BCaqSv6oVJqhnxeMCHA5A1ymiwtB1qwgz+cVQIsqWBZZ72if/F4sEUxp0TnJ2H+3Q9E3GBwU4O26AqR6RzMAGYplj3KPuiR3nKRVNmXJYVyAcVly8tyiI4sjXJI8oOpIHEGZgbgmA1Xu7ajOFIZ8cnnudZ+QEx7eA1R//mcCuWHjNJDLkIWGuBgVflYgN215TLocO1EtQKSuy2mHmFDVZ04PnCBrrl3LJJY0gMMJn2PrvhZPMm3TBtjUGaNVPj0pQqmkzQQB2IHvZgCzMde7KK655hp84AMfwHv/l7+FN/2Lf4RbVk6e6y5ta8wB7S6IzBq89Ir9+NzfeyMAYG3k8OEvP4T3/tE38eSZIUrP6MwB7Tx2IOY5tNsTPgO4u1MLA7z5xWlf5fytFyGvb+a5i6sm7pN3mvy5NcZUxGMQnUrbtzX+nrBK3iqhbpFJrze20Zy0cZ4xwOurDbXuBHYUGGN3g/RRfm9chHZso5LlYIpj1+TFwCb5TEsKGVIDKiCWEArXpiZVUZ4cQTjDdwllISCLCun70oNCWQ8OZhgsiCGRWShhDKO3V4r5ek/wzqA8k4MGFmZEsKdoA7JklvzT3AiDNlRZciznAlgHgCgyZqG+rGcLV5IAtwVJzGXNB/VDC7+WAbmH7ZXyWk/YXKxZAZoDC1qz4I4Hul7ybjOpvVt01CxqVVySWWv4gilKuWPOqNPrNFTJkbMAfhQMq0syG8R8aHYcDb6kNBBX75uwSKHPT7kgY1j2Jd82WwUWnpCNw70E3yEUi4DrAflpg/yUEdOrDrfLkq2HXZggS47sLQlYIIgsOTDtDGHrnOQJR+ZOwRd3VQ4f5MnK9MZFHuboAl0tBiWLLAEUhuc/vMeaIBeovdgKcoHkfZm8v9K83PTN3pQux8YBO2o5V+hncF9uLAQyMFHWnBwe/x8LUil4evg0RnKSYVQ4xUaBcDzpDPvUdt/gAbtwCjwx7WQXx8///M/jfe97H37wuhfiqzd99lx3Z1tjDmh3YfQ7Fh/+8kMAgA/+xKvQyeZux/PYofBAtnL+fSjvthCwswPjqEBks1/mbBN53wznKvuzTzLI0bpydVNWjEa9YzpJn3T8qP2CxyR+KRsy1sEw+U82NmXSERDXQS+Sl2ZOKW5OUutdiUAgTMQBRAkzAHAKciNbVLkw19yXTdKu9rmZLxyBv75uh8KysjroQg2K2FJ9HAI4yH3tOnyueacsQI484AfyDHSPE/pHCd4asM1RLDMGlxSg3CPrOBjr0d0/ADOhWMvh1uyGZclsBUi6nKME2Ix0fALbqQDDqjMylYB3Ru77yMhEv+9gMh9BBJcG7mwOGIbpOphQbxeAX82AociRaZRpPV4F3R0PJoazFr5jBKhrnq3PUbFxYVGglI+IwCKz7sM5a2kiVDnDWvcVJODQhBuZyJHD/Yr51Pqc+I4sXLgeMNpjYApg4Qijc8YjPyPAe7RMKPbI/nZAYgk2TZZsHWAoypJjndtYq7YOWgEI255zLUe6VhqIqZInJ+7JFGoJh1xe6LXaOsgFUJVJSnKtNwpy45+T8nKbb+YW6XJsv8V1OW4rqTVtNILc9DXLMy/cRVl4uvs06a9Kn8eaMeHztaWTyQLKpGhliafFRqa1O7VWvMXYMCjfBXH69GkwMx7kYmOy7/Mg5oB2l8WwdPjW/+uTOHpGVrcPLnXPcY/m8UyOsPo/jy3GpMnGNoR1m2+YCbCzdixhEWZqO8e60mDXZ5StszhEaeFYN7zKpFsOM1p+JkZibDQe4xLqMXZErzm9ealccNr1bYTpreUDpvsnk96Au8ekywHcRra0mjDXJMuTmFw9aewDQ/JAZU8AqjCwDJ8RfI/Hc3ABwAI+93HCDq8g1xFcV8u0qEtxfobQOdkBDFAuyKLK8KIS+dIIeb8ALYxQlhaFGjSZtRllyQSg65WxJbDKf82wXm4nSqWNDn4wkiICF0aYzq4HdR0o86Cc1R1ZpkSUS2kfu1iClhjl0ILXrIz7QG4Q54FNZvBiCdc18H3N+10lGI9YkiksvATwTYCAQYLkAyuAieV/rILXEjFfFzlAjitZsxeUE0sd2bosWZ5fAbdnniP3qXccyFYYvacY/WNicDXaE1ycK1kyU4ZyyaPcWwq7nVNNlozcgwgiSw7Ox2neLRBNuUT6oc9QYOJLkrJFgZ1VFMqGY23jmKLuqcrBbQC1sc+r5HMlPAvUfP4x/r6eSbKc7DzmthwidV1ufj6k7HLTCb3xHdxcBOT0+W9ErNmcbJu4yAdgkhNxJYWecOA64Kcpk566b7JQNdP+W5X27tSa/XnIBXz5y1/G8p49OLJ2dmOLCudBzAHtLgsC4bL9/Qhov+0Dn8J33ngJrr1oCVdftIRrLlrC1RcuoZc/g7y25zGP8zl43e/6cxZEkyc2rfsHU5NZYjRD21oGY/xECbPUCCYBwu1tNyaKrJO/lsoJAowr9iIs3ozJpBvMemQq1Fm4ti2YwbSwKo3Lm/o3MM64RKDblC5X8/2JkuUIcBonbQO5gByT5kIGuaspAB5SBEKpozIzYqmVwNj4HgPMCmw5Al1TAnZNmKxsRc6bnc3BNsfwoAcODkWWvG8AAHCOwL5FlmwB1ye5bgWZ8fw5g3MHeAHAqfmQ1bzduDhCqMr/ZHIhXApI5Y4HdzzIavkfhuSOFgbOsLyeedj9mm+7kglwKeRBYJUioyOlk9gDvmvEkGlFGFJWZQATopxYwKrew4LgrfbRCmML4mgYZTTnNNas1WdA0gR0gSM6CjdkySw3ny2werE8B9kKoXOKYUfA0qMebOqyZN8F8jMG+alOrMXrM0a5v4TpOn0OBBplHZVrZwz2kNJJgY1V0F17fwYwo+CWw6KO7h9KA8XcUIMK5HaTfRXgxlrM+gaqOSqH95EeQ+pOHBbF4meMafwd3i/NF5svNd/Yba7L8SA5kFTCn8bYonJT5hxY4dbPuXHmd+Ln8rRFyykGgkxo90JIm1ZztFliKnAe21l9GDYLHmkbAPGkmCbf3qVx3XXX4cgTT2DljntbHtLzO+aAdpdFJzP4g599LQDgD776CP74a0/gjifO4KPfeCLuk1vCTf/HW7B3IZ/UzDzmMVOw0fIR89hSpPK4bW03YeU23cYO9EsaXn+OwDSGF+PBk8yqpsm3I5OVAsEMAgBaIuQVxrM2ZNIhbzgd3+g2C8DUZrgJ29Yizwv9CmB47JrSfkxZBGmTLq8nWR4DuQ0mqCZZRjVxbTorx7xPR7DD0B+50a7PIlVOF0kSR1tPFaD1jgSMhfa81L61I6D/uAGe6KNYSmTJ3RI2c7D7XSVLXrWgQmXJUDmyVedcqwMYxrqTmg4BZa75rQOSckLAODMaTJqcAYYiR/ZdH6XHZILjr4BfP5LyP9myPLjlIAMKAWB0OhN2tatv1p6UsIl1bdcM7JCSG6rlf4CYD2wcgFJBbZksKoTFn4zjvQnPDpPKx8FqTEcxHzcyvZTebxmjYolRLOlzWFay5O5pkSX7XEymoix5jWBBsGsiS3Y9hu/I9dpFoYyN8XJfcnmDudKCywTcxmeM0GoupTLzttJA5E31zIf7TgD3Qi5uaFfGoJIFV+PUlCxTYIcjq1t97DDQCnJDTAO78eWxVS0gsLtjb/3GTDyC9NjguLy51hdf/3vs+CRM0315nZhFrQJUn80zBVXtztSBLU5RaEfQLCqwvRtjwphdc801+P3f/328+93vxnf/ww/glp2YuJyjmAPaXRzf+9LL8b0vvRwA8Ny/98fx9cIx3vZbn8HFe3v4a6+6Ai+5Yh/2LeTYv9BBbp9hGoJ57GyswzTNY7aYWqx+y41v/lAKrNWM50kngeu2nbAiU/eZukP7S5MmO20MMqcIr9GQz+od4Kz+vHsCXLduOypMiBj7UFG/Biqpyv3l+nlTsNsqaw4gCmgteTQtZ3c9yfIYyI37cWJiM764wabO1qTuxjX5Kku96mxFWEKvrr2uVwF7Ir03Vq7X5YwoKfWSV0peczaHlSyZbSVLLi4skS8Px2XJJSE7bUFOwBZnmncaZL/h/RfGSWXJLjPwuZhImWEol6O7ap5trfxPKWV/fGEAw6Cuh+07eEcCzhyhXJUSQbbnYPoexWouF+0Bs2KjkzGIgZxB1sHnIs2lgmDX1NxKny2fy7ULGA3vWQCk8npDcF0Fe8FAKwFsoaaryJIV9Kos2RRyT6L7rpGuBmaYw2JEQ5acn2HYIaP3lJQVGu0h+AygjoxXGEvXMyjPWmljTyE5t/oAW+tBuRN5uDf13FtnKhAaHnCv964pT2ZEd2SEzzIPUPibEwbOCMgFUEmWgzFV47OwYuvT5x9RNhxL+6RvutDlAPImfLS2SZhrxzd3bn6mtXyfTPwoDQA2bdJz+wEtnwHVMePt1I5b1y9hdmCXmprNsu9Wyu7ERcadwJ20dbB9LuKlL30pnHN43pPH8NUDF5zr7mxbzAHteRL/+Wdfgw9/6SHsW8gxLD3uPnIWX7jvKfzlwyfH9j20t4cv/OKbnv5OzuP8Cy+Tk3lsMVoAyrYEjedHbSRYwcUsfdsQCxzB7+SGU7OW1u1TwPNG+jJNVm2bE7SmTJowtsLOGYv80wBuscHwBha0pMjiykFaQifkcbbImqNMOTK8XOV2AtsLctNjEkaI9b+q/E3D9Tmwgagmt2N+WV7dsCE/2XA0c6pJMaNsWwFGJsDC54yyTzVZcn5WGs/P5OAsx/ACD7pwCCKRJXtPKBYycGlgTmfiKjyiWE7H93x1zsTYCrkXcO1EThtY2xQ4koPkdBpd8CDAKCPIIyM1e3MP05MZfWAdpfwPQD2HbKFAOVLXZA8p/wMABYONAToetFAKIO4oa6uyaDMiGEfgHFXJJL0/8RljlRtrrjOMso0MOJtci09kyR4wjmugt/ncVTdWxi3Kki8C8rMiSzYFsPSILPoM9hNch2QBoiPfHZ2hLnKcNfAW8AsenHn4rhfX5PAYau4tAHhnRZ4cjKVSWXLKLtaeJ64WLgJeU0Ab2dnEUZkDMDYAW5Ush2tVUyqUVFsYikxucu4x4yddoGlVWYRzNBbkWqXMbRunvTzJdCkAvvTYaYvUE0CrgPgJH7yzqISmAeKWc6Uy8an7YmNguS1mZoM32q5JnrPzKK666ir89z/7M7z1LW/BoSuvxMU//b/ibLlDtY2expgD2vMkXnbFfrzsiv211z5z15P4L199FJ++60k8tRKLEeIlh/eBWVfM5zGPaRFWqeex+WBqn9xsR/iGCdJGYwNf5LKSPftKuEyaJl/0usMxaZKUGLq0NToGkKeNfXPfBsHbKokuxfV1TPqsjC8rGGhK9YO82ZSNch5ey3lwxZyFkwc2twK7laQ63VZ3gJowmQYmg1x9gRj6nteXAo0VFyiSSakeGB2VA3tLVeMx97aUAfK51pA1Us+WCYilgSzgMw/KCPA8WZY8aMiSD4ksOe9JOaCiX6IsDXglQ3bKgkrAjKyMWc4VQxrYwiBlzQDmBNgOKeZfB2Abrs9bkrF3ABckDskDK0xuvxS3Xyuoih2hKHNQ5pHvHcJ7A7eaCWgqSVx7SwLWrDCo/SrnFB7wIxP7Y9cUHObJ+OpPU1Ac29QIiDO9trRUkCORTGsObehrdB3X93qNbWzIkkfLjNGy3Pdg+LVwhNE96XVBgDHcZ7B2UAyeyMn7BmdEB18uMdyCB+ce1JMLCQxulCcnD65nAbd+1CgNBNRBWApyI3PH+jxjzFGZggtzeF+EvFwIwOakfSkfJOeNSoUme5qyuo33YHD/bn5OUdLvNnA1VdY8bacJ0Sp5DjEBgDHWAcLrfKDHWtYzRFMmPcu+W0u72RkmNZTTOh/jLW9+M371V38Vv/u7v4sfeOlL8Lufu/lcd2nLMQe050kcXxnhU3cexam1AkfPDPHl+4/j5gdPAAAWOxavvvIAXnJ4H37q9Vfhgrkz8jxmDcZ0i/95zBY7tAI8S+7Stp0qPAuzfvHPcL1TV7DbcsnkqCrXrS0aEyHjJvQ5AWkhmjLpiZMknf82xz44Trfl+YbySj4DfDoxzDiC35D/aIoEeGhup+QUV7VUI6A1XBkapduaXZ4GcvWaIsgNstt0WzAQ8lzfJzgqm4q9jeeLDJm8ZkYEGsrE2I8Qy0axUQaOSNlFAbguq8Zloiz5VAc+B9YOOXDPwy4W6C2MUHZK+D0WbmhhTmYwJcGsCXgJsmTf9ZJfS1CJI0fjHpcbKf9TaPkfLwsO8IDRZ4wzZW6d3ouCwKNcXuuLQzK0WS4MipEBDJAtCkXvRhZcElAY0MiAhgSMcpH99p24K2fqsNwVABzL/wBV+R9diAhy4sD4wwDeyTav5Y6ihDoshgUwx4AzAEGckk2ZsPM0RZZsGc4C6ABnr5DxNSPAjkSavO8eB9clrF5k4DvaZyvGU/kZCzYWbLO4COQzwO0pYDsVSiEog2sZppeUBtJ8W24YP0WHLV/1Pz6UDcly03QqglxAFhooAbmWtZ4uosyZmp8vU9I4uKW0UHy/+NDe+Pu02Ro3X6QN4dmpkudpMdlMav2Fzo2k3WwIW6aLbJsJxmTmeYsxyahrV8Rw+ubf//3fx2/+5m/iv3/yk/iFv/iKGOud5zEHtOdJfOBjd8batJkhXLjcxQ2H9uCX33EDXn3VBbC7NTF9Hrs6wuR6HluMHXr7RQZxk+1vSGq1A+A5guS2mAImJ/UjyCXT8KZdUp0yk/G1FllckHem/Yr5cxPyxtpkzkHebEbjOwdgHyStrhtKf3AEhhTMgZrSZapAdJQsB+CSMrwbAbm1PNsG0Lf1fSQJElHSmkbIUTYJsA2yZBtSGRRQlQus5YEgwCIx95lFlrz0gDB/gwszDJY8eLFEb2mELC/h+wWYCaUCSHNGZMnkDLwnLf/D1TkBcSUGwLmCSWVJg9tzrB0LHWNbycbZAFRm8jwuONi+E3fjUm5GuSIUq+mVsB1ho9kZ8MiABsLY0plM+tPzIsW1BO5I+Rzfk32yVa33m2mebZMB9LLIwiTvswCoWBlktnL/qvxc0pJHcu8C+zurLNkH1j4HykUxjhpcYJGtAYuPe5hSFl+8BdYuNBjt1edL2X0zlGfBrXbUwVocppFxdE9OSwNV5xZw633IwdU34KwgF5jsrBzBLqIMOYJcAjhrIJaAbxlVTm/YlLouN2LMfTkZ17GFtobJ4FQFUNvpNpkCM/EcMza2oXPOAJJlv42B5bbYMai2yYWDpyWmANr77rsP73nPe/CRj3wE/+zee/FEuQL0nr6u7VTMAe15Eile/ZHXPBf/21uvw0JnfvvmsQ2xSz+Pz7vYCUnTFtvcaNbBRgDwuuBX25q63wRKcdJ1tzLIk8AvYUxCHXKKa9E0i+cE+DalbqnBUrMfAQQ3xq9alKAqh1cNlHxwbTaSPxmAH1BJl6msyg/FnEp1Kq25LmuudJqnG5mdRLLcNjmu3Xeu/hFQ3UcCQl3cpjw5yFdr7q9hMUDvT7Yq1+A76vA7SZacj8uSyQN+Tdit7lOE/hMWxbLFaG8O32dkBwawmUOmDrvFQomyEFlyftJKPnRf2VllMmMJoEyADnsxkQIDZmiiVDywtuR1IcOR5gZDZL0rGfzQgnMvZX8Adeol+KGF9wTqSD4pcg/uK/BdswKA1ixo1QqbnIsUl/MS8IQilP85Y0SOrAZSYYxlwUjvaSHPBWdBMs2yLwHcYSm7FHKGFWAKoJd7uRFZcnj+fS6GUq4PFMuSE5ytySJp9wRj6TFG2dVSQDmhWJI2slUB4dlZC2IrCx0Zw3WA8oBIzFODKXnLMGwDXHovyM07YV9bHZWbLrnh/QCMS5aDL4Cv2ollhNLjgcjq1t5HTdfluEE/u2Kd2sZxjc/dVgA36TOxhTGmaRLdaeuLUz6rt9+H4emZeEyVX281drLtHYxORyzWj1x4IT5/81dmNuja7TFHROdJvPuVh3HP0bP40v3H8TufvR9vu/ESvPK5B851t+Zxngeb8dIm89h4ROZkuyMBD5uNmb9vp7EAbe3OcL1J6lrjYChImjCpmcjQTuhLS79bJdTN06WT9vS1NuALVEDPN+53CvKabEvj/IRqAtsmYR6TLueMcpGriSsHyTJFgGIcgFFglpJriGwbxVqo6SJDm+nUxDxcXwHcIE9mDgyzsLRx8kip9DJIlrWtkpBrbVYffq4nS2ZorVuCGwnANyNg8VED1wGKEwtwGVDuFdBoF0r0FkcYWkZhACpIyv+wgmgLeGUGEVh/g1j+x1sWgNQJebBScigw1XCAdfL8khPZLxUWrOV/0Hcgy6AOg4jhCwt3JhcmsuNgcg/qiBOzX8lEklwQaJhVdWgNA10t/2Os9GEgwDZdLAqlfUxZPQ+2BNhI39kgGnZFSaxX1jYAwHDPuSFLLpKCJ1TJktNngFieNadS33JBXs+WCXYoOdGdswxyHotPyH1evdig7Ks8WYlqGgkznq3lsZxcNPzqeJD1MFn1wBJUpkwMY1kWGxjRUdkrEI2mU3GhJrxJMFmyHMzFoCA3jTbpcojUdTn9rCIIE619bIK5sc+p5ufLlIjlmWovTt5/klw6GKVNPG69fsyyU9LY00VsblZ+/UyOyy67DK985SvBDz44exWE8yDmgPY8iRddvg8/84ar8aX7jwMAnjo7wtlhiaXu/BbOY/MRmYt5bC2Yd+RLM4CFzQLaAIJmBaobOtcMALgJ7sa2T3mxVUYMjLMik1aXacq2dDfXUqWQUTdkSs+lILHmU8PVcWOy5uQeTmJ3UwnzmHQ5MQHymVyX6zOYuGovGDMlkmVT6HUEyXJwVE7Y4Ahy07604XhCrHeb3tNQtULADTdAPcUGvaleIw5MGGKN2HVlyUbBFLMCWwFwri/X2zmpAOColNQZXJhjsOzBCyW6B9bgnUGxKOV/7KkMdqhGUlZYTO5w5aIbWFuVh7InwBF8IQDRjqgykgq3yFPlWE0E1rI/3BPHX8o8qMNgR/AD+c6mXGg0u1yAIHVteWBksWQoA8bKlCJjcMej7HA0LpK83wC0JW/Yd7lWazmkk7AuNoSyVWwY3GUFV7JgsBFZcrjwoDCQC6o/P+Uio1yU49a89NWMpE8LRxlLj3n4TOTJZY9QLEtpoHJBDK3M6Ti6CDnCviN98gvCZFNHFw70fRqYXAJgOombXjCd0rzcMckyJ8/hJMlyiKZ0OY2G63IaFN3VIOxu3AApP9V4H3Lzj+DM3Iy2nN4pn7mT5LtTfQvCgt2U2Egt9qkS6rbTb+WrNS6ebqGNZ1gQER577DFcdMkh8NEnz3V3ti3maOg8iJOrIxw5PcSp1SrZ8Wc+KI5kH/zxV+N11x48V12bx3ke5KW+5Dy2FiE3cttDJ3KbloVz/G+GfauJ8AzdquSL0/abxlxPk8VNm/A0J4pTxmYM0LaB3LbJjkp0I4MVXi6rY2oSQUKUN09kdxGAQVU2ppavG64rkS4zAXCINV7tMIBs+TvUg42MFgEIeblFakCVgFwIMKnkyVUb8bVkGNKf4VrH5Mmhvzq2Im9VoBRkloG5JQhInUGWzDYpBxTGt8PwxPAlweTyzLoeKjAfZMlHrORxXsYwGaO7JEllxUKGsjTA6QzZqjCjGChQ6iuwyHzF2irQ5VyBYUflyFp2hzw01xlVnm3GAIW6tiInZpUT24VS8m1HFvAGrhTwazoOdmEEV1j41UxYuiAtD9ff8QKGPMH1hCmkofTDDsVQKi3/g/CMaS5wkEuzUZdlkzy3uZgxzSJLDvnURsF1YH9r76/wbOu26N7MClqdRTYA7ACwA8biEx7eSl6uz0SeHAym2MgzK4s8BJyUk/iOmk11WZhcy6CeAxkGKcsaYXFLXq5XttaX8rNmPpWC3La3c2OxC8CYhLk6F6q2mzm2DHHCbrad7hJMq9o6kvH4e3KSq68uXLR9WbVJoWuHrrM4uOE81w2A2jFjro2eZ3y9YHtiC9061/H6178e/+of/yMsve3tWBk9M4xU5oB2l8eZQYGXvPfPJm6fV+aZx5aCtaTIPLYWTSOgbQqZyNKmwXIwIpopSCWuM8wyGJjp22OiXDoyme3bTFuuLNonXdNY4DHATeOvjcmijbBsEbSmwDWZ1NVIljhRxPjMiZRdRACLybQ0YWzDpC1lOcfGR7s1UbJM45Jl35FSNpGtdwIcpeSEHBzzbcP+AZjQ+DW3gVviZO0kjEEoDRTybl3jehJZcpWLq3+nsuSO9Mt1KgBOJMDM9b2YSGmOcXCQDbLk/Cyhe1sP5QIwuKQEOh75wgi2W8J1Szhn4Fcy2NPqknzKarukkueEtVVQyZkTUKYmTWbNwA5Dv/X+qIw3sKHGG0DlyK4jwMt0HcgAbmQAr/m2AwvKGPmeETwT3CATA6mRAQ0yAZ1ZYCeDkZYXo6SuESl0kCUHOXIY1/CeK/VRcdpHSmTJhteXJQN63zi6LlPyno2LGil7mzzvxKoQgOTeyv0HyMk49o8y8hWP/jHAOEbZ09q3PUKxXD0TIM0tL9Q4jI2qEATkln11kFbTLbI8lpdriAHjYWJusDK4IS+XAXaNHNr4nLcAwya7m0bDfTltq8b0Bna3mYM7URo6/vrE8msEGY+WYKC2eFeLKc7O1T4bSLvR6531e43z5g3YYOwQ6mwzGTwf4nd+53fw4Q9/GL/xG7+B2y49hM8/9NC57tK2xBzQ7tJgZqyOHE6uFnjzDRfhz28/CgD41z/6Slx70RL2LXSw2LHzWrPz2Fo0GJl57MLYwuoyOQJtAGzLZHS2swWGZ2JbAQy17BNKi7SeigE3CaD6cUBqygmTCm4BtC2swNgkLM0VbTQbHKdTo5z0mlr7HCb7aOybsJWMhOEIjGdqTNVkc5vXkPQpgNxoJBgkyxZRzjvaIw2YQtoMdUbJqWIjfC4QotyZm+WIGv1IWSIKk3ROxjJDZAArc60AZNUcKhjxMGqyZCaRYDMBrkcREMW6sV2vxwkICbJkOyBkK5LHuXx3Bp8Bg4syFAseZqlAt1/A5Q5+uYArDHCyI87KKwYEdaPuaM3ZzNcXObqSA+ssw3cMTKEy4OS5Iyc3x1sZT3IAl2JS5bXED/VLmI5XJ2T5V5ztAIZhew7oMdxKLjmxjmDWbDXehoG+mk1prnHZ4Zj3GxlvlaqzlfsQSxRVt0xlyQLkJ8mSgzlZlI7rdcEL+IQ+s3GBpwyfA9WiQPM5CSA4lIUqnyPSWjOUfuYrgF1jdM4yFp7UHOec4C1htIfguoDrAr4b3jcCrDrBZZssQIDriIGV7zC474QV10WFpvkUaV5uNdBVtEqX45sAFXhqfngEQNgKNJPPwiCzb7zJJ5Z4bUp9A6PcAi6ji3NbEMBpP9IwGHd7bomZcWPqKj1LoxtIm9l8pzbRdFA4nGdxww034Prrr0f3216Pz37pC88YJPgMuYxnRvy3v3wMH/3G47jvyRU88NQKBsX4B8hFy11cvn/hHPRuHs/ImMJuzWMDsZNjuJU1K5q86D626wafBVPMNsmYNGeZKNM2gSlu62SV/xnCd4DWjquEOm1mTCYd9qkxJAlwnDCHa1tHjMyUGe97E+wG1otC15PJ/kTpcmRvkz5PcV2OINdDFj4LBblGJvcwgb0NnRBAlq215+D6DDAZx1zcyOjr9TTPH8cj9EfvBUv1ncmyZCAC/VSWTKWMl9E6rK7HIjUGqnzbMI4qS+bMSG1bB7kuByw8ZgA2GO63GC514RcduvvEJZl7JbwzKE93xKRoqO7CmQBpWIh0OBoHQWTAGcOFPFtHMIME2HpIXdsSIkm2ep/FfQlc5PAG4K6D6Qn7y1qexq3KFM30S9hlh3KQww8kmTkoAszZTNoLLskdL0DUEUY9I3m/K0bBdfWc+S4qFQCjXZYcXJL1mQwLCZIvLaDElLJ/SBENyMuUiAxvLN2lP7zlKkc9fW/oM8D6vAFAsSQ/jSNQYWEckK0ApmR0TjOyYWXq5jqE0bLcr2Kx+oxhQjSokk6YeD2Rze0ok9vxKlmuQG4aY9LlJFpdl+NGqq5xjNld50OaMP4Gix3iWGqrOkF7RBfotl3CtrbTuylAOO3jjBHLQs1K6XYmf4+sfzJMvuYthuSzb+UL+umPP/iDP8BP//RP4zWvfS0eOnPyGUVozAHtLopf++Pb8cTpQeu2D/3Eq3H1hUu4ZO8zoFjUPHZPEDae+zKP1tiJHFpibE3SlICz2U86434tSryZQye5kxa3J33Hsk60Y5CwOq0sMBQUphPBsW88HqsbGWvAJq7C6bYIHpsA0iX7NM+SMHtjv1eXMi5dbgG5QOogjAoQbgDkZmoSZINhVMhxtMBor68k0F6BiZpOGXXYDTVwqVMBXMmvpNq11MYgNZXy2pc2WbKj6uBUlpzUugULk2xXBXS5BXVJjuMrsmS2so2cmCaRlzxkKkWO3DtOKPsGxXIG12fQRQNY69E9sAZmwmg1hxtamIFBdlYYVdfVeq/BSCqYSaV5trnk2ZohVWZLQZ5bQhdtFDg6Bf9lBl6z4JxB/RJkWayUIfm2fmhhOg7ZvkKcfBU4+ZVMlBhDqXHLOUfQTX0HZqDMrY6ZuikHpYPeRyYIU6mfF+vJkkPOLby4UJPX8kZcLdL4DIDuU5mXye/GEVCidr9S2Xt4ttNnyGcMZLK+USzJdqPA0Y7kvpoh0DnDMI6x+AQAZpR9ccIuF6R8kFyHtGk03cauqmTZqtFVHlyWGdxzcn/DeyiRLreC3VTCnD7/6r7MTnN144Ykdze+1jy48WGRRtvn+6TP8ODi3Lqt7cR6+ilgt9aPmTXE+mztTGbr+OlibvM2t5t7oLP97W5LTLjeX/u1XwMz46U/8UP494/dKWqFZ0jMAe0uCWbGL73jBnzk5kdw8wPHsTKqP2TPu2QZB5e656h383imBvnEaXQem44wwd+RtreygtosSbNObAQ8b7WcUDM/c6YIrFfSSDbFz6IpoQ4mSrU+2Ho/2LJMUhqgNbJZCgZMujKf9KsN0KavBXaXCa0S5jY2lyZJllPX5bwOtIO7dWAJQz9qgJKqfUGAMQCPUDkqm8pR2YyoArcqVQ4lZFLznmbubdNYKjgmp+CUwr3QeqQ1Jj3IkrXOrmksMpiCYE/KPlL+R0Cnj4ATmksuoNknRlKmINgh0DtGYEsoTyzAdxjDSwrkCwU6CwXM0gjFKEOxZoHCIDtlQUzwQ+lTKCsTpchZlWfrcqkjS4X8Mw5iIBVYW0JlJGX1XpYEHnaknZ64+Cp9LcB2kAlYzYRJNHslp8Ct5ODAEK9azYXVwe2KUZLLrMg3lX0mh+imXZMl2/Dc6b0LtyLIksPzp/crSNojcxvAa8glDs98pvfbJTndCpYCgxzyzWsMLiXPiz7HMV8cotIIIHftYhkDO5I+5GdZ7vFTHkuPMbxVR+j/P3t/Hi/LVpaH48+7qrp7D2e6I9zLPA8KouAQUNCAiIomJhqjSYQEYmKMilFjNDFmwCH8zBcSI6L5iokmXw2CZlBBDcGo4IAigwJyvcyXy53PPfecvXd3V63398f7vqveWlXVu/vsvc85+9Dv53NO7+5atWrVWqur17Pe533ekjA9LX/XEwdyFWwnscQMndZjRlT6Mm86Cgix5M8tswlvh9F4dz3Doy+NT4yhlS6ol96cDgK9ALjPetSXO43s/XwBEDbroUkvskEKdacgVD36AOuUZenNK9vReH6P0n7u534Oj3/84/FZ41P46Z0adLUkocUa0F4R9sG7zuP5r/wtVLH5ZkzKgEddv40veuKN+Mdf8oR1rOzajs6O2QP5SrRlFH8v2lRB9WIsiRstYwZClt1kL/YHy4vWN7lntF35okqzoqF/rdPnRQ3zbkxxfi4XTcxp3h+WFxYM1L5yR2+mKgOwtljPvKZ9INfuJ70uALnw9aax4+b8UsWnRtZ4NPGNcwfQfb2E5D1qpQ0iIE5Yc1bLDYSKRIxHQRGpuJR5bOPIwGRP2/N7tWOOlswKenNaso+3TSq6BsyNljyXmxFaMjd5QQlCxwWD54RYM+oNAehhTih3AewQyvNjcDHG3o016NoZQmBsnJ6irgnVVgmuAoqzJYqpePZirSJSpQ6wpyMD4BFJ6p9KlIjNqwjzhgKiFpzArVCGaV5K27drhEktY6N0ZJ4V0m+F0GOLrQohRFTTUmjJEaCZdnAlcxqTCJrU4HFAPYkJ4FAttORQuQ0JGqYl22ThyjzN3NCTFURz7c5Lr9RsXAAJ1aRNFqMw65wGbLPHxZt7L26aSA3ITWwD9ZzNThk4l/sL84ayvHVXlHvWa823CNW2gFzz5qY2qAl12T5oT+44FpBfj1UxO/UVRH25iK2YXXe4ZSHElld4kZm33gPEjhe41cghsIuLB8Krmo7p0mbfqwPYkSxzIpaP6bkC7Ny5c3j2s5+Nv/dN34TbbjwJ/shhDurltzWgvQJsWsUWmP3+r3gyXvQXHokQjs8XZW3H05Jwz9oOZKvGn65sF1n3qmuAlZ44tL/6ssVa9h4LGNz1H6q3l4K9SDSrs1LcvytF/be/xpRnNPP0cjrG3V9Vt6APFlOpdN4WRdjKZp7epMLsv6sOdKR264I0Ty1kANDAhoAgdJSVU9yweeUMUAStqhYAa4JeHIDqhJxU7FFKmRMqATNhTo3HTz3IHiytSktGArbSfyYi1JkTzvMbNEcrB2rihXXO8Ug8bWSxr1HAralAFzNg++MF+LZNzE4z9m6cg0YR4805iID5ZoW6JvDZMUbngqhKT1QleByRUv6o1xalUllHMgl5KrTkYqZjpmNAhBTHGguAAhDPKx15HEEbNUIRQRPBg3FWgCtCXReo0dCS66pA3C0TsKV5kDhIKgCtxyZYTksOGS05xUobLdnmTA0UFUSwqrLxVpXskoWWzAZeAcvXLTmTG3oyE4BSD5ecWBBpbK2sfQ88yKVmE8Wb36xhgsRVZyB3pw7KUlKgu8OY3BcVWAuNfb5FLaX4arNNXfbfwaS6vEOg+0L7+mWR0mulWGTo/W7EFLMLoAG+6YMuvdlbKLLd1AUre6M+dz9XL/DAsaWA29Je1xU9rgfBXUe5jCZeeuPhSrH5fI4nffEX4ofe8X+HY3uOqa0B7RVgT7rpFN71/c/H9/33P8H/fNcn8PsfvBd/+1mPutzNWtuniq33TQ5sXrnz8Cs/2LlHBraX2DRfGL9L6b92tc4T03cOZwu9RZTsHPwuRZNetMljgKoH8ApYk/yerfPNaxkk3hAE1B7MZp4p87q2qLqZVzd5JG1Br30G9CzsjdZpTSakNnZEp5RO7GOvPcDmoO81j23Q1Dr1BKi2olKyBbCUO5RicAGpV5SWuaG3rkBLtsWXqe4a7ZvJ0VSty23DoBJKuqgKSx/VG0qvZQZBgaOm/5F0NWjibfck9+n4fsLGPWNUG8Deg0fgSUR5Yo7RRoXZGWC2UYIszpYIcSbAP27EJsZW6eEYR4C1zQzwWISbwsz1fQ1JwVPLBgrVCvarArwXlBLOotS7WQnorQhch4aWXEaU23PRxJkVAlamAmxprwD2CglJGOlkc7TkOqMlW1oio6FHBZSWBsq8/jYpxYuqGz/++1zIYMag/e/yvprgWWIcpDhxbsXgpthZdqJ0AyBXJoPOfavDzTFTqK2TQjJAsblnqiQmN20SoaEucyBUE4J/hM1OEqpNmT8xixAzRkE41xbT63vexYl6vO19iaTM3LGCJR+zfyQNPJgJEBXnvoNlBEr0C94t8t5aG6MwFZYyhoiiLWsH/Q07Erqx1nuMnJynTp3CF3/xF6O4+77+gT7mtga0l9iqOuL2+/fwsXt38LH7dvCxe3fxsft28Nu33I17L8xwzdYI3/a8x13uZq5tbWtbxY7aQ3uxtqoHfpV7WIYFtuj4wLEE9IbOo/abwfvroSb20aQ7wklukd17bfMIdbyj8q+Ydltui+wE5Ex9tUDyYtXqqkoAQQWSkvfUg8weqrBdZ5m43JR+xSicJvRTMmqLc/SKyga86/Y1Ld+qAFtKOUw5ALMzAtxCpZ7bqaZiqUhidYtGsToJE2XAFnBt98Be708EidATYywbHRRJVIRY71nvnUk9ZZqWJsVkptyuJPltR5ICJ1Sa6zQCJz5UgEOBvetLTLcicKrCxpk9VPMC1ckCPA0o7y8RZkCYF+JJnihwDKz0SaR8pFzUIvA00VjbiiQ3uHkprb8jiYCUAfuZgHGeB8TAwEaNMG7TkqvzIwG9GzXCmMFjpStPC9CeeIppqh08D8vRkk39mmUDII7V62obMTZXGGnjo0lNJYMcRxAwbX3BbqNCRbQSYNWp6r/PUdMI+bj2PpBrcyHNo2zzJ81l/X6lNCxlA3Kn17TnY05dJmXXEQPjc4ytO8XN3orLD8D0FCGOCdWW5FQeMmKZaymGN1n/g45L8TynJhJQb8X+3K2BQbpx0b0w+j/HgmexrzrEJtXRYRqTxBRfbNUKni/6/IV1E67I3/0Be+c734lf/MVfxEu/69uBd73lcjfn0G0NaC+xfem/+23ccuf59L4IhJvPbOCJDz6JR12/jX/ypU/EyY3RghrWtrZDNJJci2s7mBnd80jqjdgfOA6Znn8ktgxrbNHxgXbt61HOAeiC2GXvWZEPMpp0H+j1tNQOaKXGW5S33xbQRc952u6U6mjaXCuJKZW26IdQl0d6ElMCCKIk67y5BnQz75PearqHHOR6z2hLWTmo5zD1i1MZrtpgG3B9H/QaFQFTBatKMY4lAPPKMkSRdo9WpiVb24l1Cuimh50LtIG/eW9FDIrSMTuvvEDABZf+h4CU/qcAYhlBJQGRRU14LPVGjRveuJtAscDugwP2bgDCKGKyPQNvAfNtibPF/SMUew04iSONrSQ0eW2DTQ6nkjxWOvJeaDYS5gAFOd4aS/Xi8lzp4OMoXttCgDkiCfWYAZrUknqpqIAtvdZMhaLmtJiWHAmVbr5QJfUWU6GhI+h4q5fUAK5thqQNKk25JErPGqtu461giMdKi4/tcUtx4w6weqqxB7nmzRWvKKX36Tzz5vp49T6QCzf37O+Muuwt1ASqC4QZNEWQfQ6MHmAU56K2q/mixpIw324D4PkJalJS6fVzenPTTkKx6z5goLxQ9P5myPex7H0uxxFQ29zMzxtH0GTxD5GkOsLSP1ar/FqGcJAfQQCjIxK4YEI8Ku/vIdsb3/hGvPCFL8SPvvrH8FvxXhSb+Y/j8bc1oL3E9uDTGy1A+z+++Vl43INOYFJeZWT2tR0P69mtXtvqxgCOYguYO3+sbquA7VWUi5cqu+j4QJMW0rfz+twCdinj7rqoA4gJSUyr4/01Dw66XWr0Zh+P2rE8hlfBAQEgB3I9dTmBXiB59WrnnUq5TvtALtptSSC3cP2cAVzzZDYeLjlg3tfU7qhl8/slaU+h9EO5jgBHLoTyW21yLy05pbRZQEtOdTpKsg0F57Rka5ujpqf0P3pSsSe5d2MJEb0KEIVZIliOTy4Ytaagieq9rTekz8f3ETbunGB+irF3Yw2MIsYnZgiTCvWkQmRCfW6M4nwQIa37NZZyUzzaKFmouDYeQVWSFUBSTRrXavPFDQ8JaGWSNnMAyGjJIwY2xBsXNuSkOCtQTwkoVSW5YJQnZmAmVFMBtpjtT0vmWgB3NQnJq2xjCf3uWExxC5TqPAkpztt5cH1qIO0HmHoy6ZguA3JtTpc6UQ2j9cXl9oHc7DuRKMtp8rlrZ5ZSC02A+cn2OXSDzBvx3DeHwlyVmJ1Y3fj2iGLeXMDozX1slHpDqM4+pKCeoLNRl643QAuWdvSfxKHYl+kTVf15mZ8aLhm8GfdXTgYAAsKobscUr2oHFJQarBaqXH0M7KEPfSg2Nzdx7ok34b/e+oe4GiV61oD2EtvPvuRzsTur8bd+6vfxhx+5Dy/80d8BAFx/YoITkwLjMsi/ImBUyN+Tns/s38R99rwnPwiPueHEZb7DtR03u5oSa182O8rftIHF0wqnY9kGroTJl2jXIiXjhYB4Ba/yQmXmIQC8ZJle769bhLdOU5A4SGu2hbi/pquntXkR29Rlu56BvKgpXlqqyw7kGvBJ+WlzkGtqtR60ou3xarVd4/+8Z4sLoNY4UBOESpRTvQegub9yR+NdR+qJ9LRkFSEq9gi0BC0599qm7szAO8Pdtw6KjU+ukky1xMpyIElVVGjsYqGdECCe200GmDX9D6MoBBCXFwjjD5SoJ8D0+hLzDQadnmE8qVBcswc+A1R7I+BcKQDwguxu1BsCGEUlOTbA1nLbMlAFdnG2lLyeYIhiNSB0Xr8BUhF4FkSBeCOKGvIoImww4jyAp4WISgENLXnCiBOJxeWZ5LVFJJDNxSqo8Jn+G0fwGOCaMJsIYLM8t2FOkrfY5ikhiSFRRc2GjPfgktTFQNeDa8yJ0Gys2MZFArV+/lv8vM2DEq24XD9XU4qhAcpyzupoUZdzsGtzLtvkSerLPQS86XXt92EeWuySUAno7dsoK6bAqfti6+Ftatm5xZIwO0W9v/n1GKg3uxt16Rb2edYXe+qtX9qK4ed268LCIrtYRyiXjHp7UQzLAWwcEcbHI4/rU57yFHz2Z382fuG7fxA7121ifmYLdO0pbDz50ShOXx24YQ1oL4Ntjgv8l5d+Lt75sbO47b5d3HZ2F584u4sLsxrzKmJWR8wq+ffAXoV7ss/m+vdUX81+6I3vBwBsjQv873/0HNx8ZvNy3eLajpMdI1GDK9qOascz9+qtaiuC1GUtUT8XVbdoB34I6Br46zueLxStnmXnMPUs2PL33gMz1Iaea9oClAO167TFuAO7DQ25WYi3QG4G4PL4XFuPJrpy0QBqy81plGXxRiFRlik68SG7Vy/8ZMJTPR6qBG4rwMSlPFBpYiipmxrInJCRgBm6tGQaoCVrHKapFLN6TPvmiPfmsvVlgMbJKohJIlldlWRLFVTuCAqy/KSxoLbnkCDUU2JwESS9TaUiUhWwdVsACJie2cB8A6jPVJic3sN4awbenKOuA+bnxhIvuxNAu5obdRxUDTk2oJYATAQ41uOAWFGKaZWUSU6RuEaiJSe6NZGISQWAJxG1AttiqxJcp97KuFsiMkDjiDCK4DICm0gxt0hgNaTUVzxSRWdiYFNTFFXywIpz8942nvwwk36OYzdP4TYXbI66L0879pXSGFgMuinNMsn5tolhiso+Br0jJGXpg0ZWvpmzskGjIL3vOUDd59si1eWmUBcc5t7PesJAJiqV05tTMyK1ReoiUO46L7gvWwGT+2PvRp0A+/6HcrUZUO2znKy2aN8yZinEYonfTGL5Xl38jyBhdC4ciZM2ah7mK9J4r/PRr/3ar+F//vKv4IMf+iBuv+02/MzP/Az2yhLXv+y7MT+SIONLa2tAe5lsY1Tg8x593f4FF9gd5/bwuT/45s7nO7MaP/TG9+OLnnADTkxKbIwK9eISRurRHRX+b/H+lukzWue9/RQxxoIf3rUtb3xEeHYVsHZQI/dvCVvq528IFGJ4x5/1/8Hf1+zzRZTq3AvcB0R72+eoi31lF3mX+7woqZoWxRK9FGbKvU2+TX35NytKFEa/6OecskwMjCHAYm6Ldrfg12v1pQ0C9NreW4ZG7TmJ6ZADnApOg6UGqhxQIOxLS643OKXQoVqEckAKgtVzmtLJcPvV6iQIThFwqJ8HTl45r5LsN1JY+9/yFidvrdJJjYZNmsKpLjX9j6kjb0jfjh8g0H1AdXaEerPE/CSjuGEPIUSU1+6CmTDbGQGzgLBToLxgKYbEi8aT2FZJHkfwSNrGKoIUZyTq1FMnzJRy25KL01aqMAE8CqK4reAWlNGSZyVQslA9C0Z5sk1L5ioIdTsC4YIIX/FYkdpI8uJyyeAJgEioLY5VY2/LXfXe9gBADmhvtuh3tuUI1U0jmzfmvW2BXI1NTvT6iBbIbby5XcoyF2iDXP+dy6nL/vmCdj3e7PvROUbZq17D2yIwxgWjzp4L9RCwZGDvxv4dUqoaNevcyh1gdGHxE3/8QEQxWw4UxYJQbWQbfwPGAZidpl7P9jJmKuxHkZ6QGKDZ8Vkrj8djfPVf+ar0/lWvfCUA4B885Gb8f7d8DFQc78XgGtAeYzu5UeJpDzuDd37sbOfY/3rXJ/C/3vWJQ7/mi5/5SPyLr/y0Q693bZfJbBd/bQczBviIxCFWihEdOn9ZO2wAvQAgL1xgLACzHe/G0Ak8AABzQJzToj2QHOiLXpozN6/EPZ/7Y36BnlGY0wI89HhzcyBtoBhoeXN9aqHGa0QN7VFpvGmBbwv0SvKi+j5Ir5ya0YhMaVvNK5vuV+NgESAKvABIVYepVsDl51oPLdm8t7PTUYVvxPsZZgBNJeaVRgpYMm9Pi5Zsc8Duw/oryP0bsLcTUz3a36znFlMCz0StmQOj1vQsQoNVwGhxtiO5z3oinrJijzC5jzB6gBDv3kK1yZjeNEMxqTHemiOcYMxPlJhPC2AvYHROGh1nBbhQISnz2tq/IIPNheSR5XFArR7bMKNmnqVNBEJUTz5FgOe2GVE0tOQygkYRNGFwFURMyrrO0ZJJO7ealoi7hYzrVL1guzoWkygxt5peSEC4dP58IoCY5jYfmk2ZRE82YJoLsQ2A3JQuSGPQU+y3Cj4lQOkpy1EnbGz3l8z7BnC1HhmeuhxbR1p0+zxWNSlx50CXsnlnZSgrMxRakT/63GZAx6jtGW/ZaBgIz07v/zuS06QXlx2mUOdGEdj6ZESoLvJHUOf9oRsB823JU3wlGp3cv8yP/diP4U1vehN+/LtehnvuvhtbJ08BocBo6wQe99V/HxdwvARq14D2GNvWuMR//+Zn4Y3vuR2/98F7MK0i9uY1zu7Occ/5Ge69MMPd56eYVks8NZa0995+7tDqWtsVYAzQ/Mp8IB8nE+/V0WwMLJPPfsiSt2nZ8qtcbAmgTVhQZtFjaagZzjvYaseQ5eCVe9Z/+bg5b1+nP6JbLA61f8gD4/qrtZBzC3QAXepyWqSjn7KcAc8hyjI5+m6YqyeqbBbLMTBQaqoabYf34iZw5LxZiAJujfpsHSfiN3rj+nksOXluaYR9aclFRkuuNA5OcsNKm8pdzfc6kus2cczo0JIXpf9hiwWu0HSaF5KKlKjYlk7JNgyqTUa9qYOofR83IohFeTjWEp8YFGyWuwKOx+cmiAWwd1MNnJyjGEVsntpDtRVQnywQZwWK+0rtxyAqxiPWtD/NtWDqwEUNsNKS5+q13aPkjUYEQgRQQUCwbUYQo6ElF+CJ0I2pZBTbPbTkiOQxpjJidGaKGAPqnRJcU/Lc0lRicNPmTMES700snmZi8TJr3ebBLS5IHlihxVMTF6wbHTbv01gADaXeAVIb4Fx0KoFcG3ftww5l2YHTzgaVzascnJZpaonqsm+KgXGL1/XHalrsrKSe55Rd029y+M9W9Uj2bPZ1rrPA+mjSi2x2erlystEWlgK/vefX4mG+2PMX2egCY/uOKzRmawlA+3mf93m45557cPr0abz3ve/FO97xDjl1vod/+uXPwQ+89neOuJGHa2tAe0zt2//bO/FLf3xb67MHnZpgY1RgUgZMygI3n9nAo67fxsZI3k/0dSN7nZQhndd6HQVspPPks2u3FyRQW9uxM4rA6Pwa0B7UxAtw+P3IoVF7vajzjT63jBH3ChotKL7/9QcA8kKvMy+43UVAsnMRdIWb+urraYcB395FZPKA5ItSfc29qP5v8/g4teBekJu9T5jY5pinLBugoaZd/R6sBtQlZWWLhTRl5RGjHkOFf9z9Kk3Z8teme7XxsDGjBoj7eUfcqDCbl5gLTjTgYCDIct5mtOQEwoPEX1ZbEWEqoJdqEqokN/GWi2jJLSq5gX0FJ3EMSC7U9vxm9cICaFSS9ZxiJu2PJUm+WfVYC7VXlF9pRIg1gcZCp6Za0gaFCtj+qLhN965j7F5bgSY1Jltz8KRCtVkh1gTcM0F5Pkje15EpTmunmwfU7ktpyVwTeCRqxGGqALfSeVEhxUH78WpoyaKSXI+iANdRVA+t7LZwHaT+ecB8FoCCUW7PQcSSxoQJ9U4JTNUdrulzaKbPpLFSqUvJi5r6ORKqUQGLdRZ6PKXctMFEh3T+e0p98uY6OnHaLOljRPh7N7p8QAK9KNiTLtxkkDnSx5joUJj9aQaiTX3Z1ddhjegGRHpvm2t9z6ruR+jVCtCKekMpFp0DDHuHvS2xwemasbTJfFnhhB6rtg90+qDt1bTaJvAlNN5Hq+rWW2/F05/+dHzFV34lXvgVX4kv+9qvA5++Fp+cVfj42XN45Z/8Ce57whHwtI/Q1oD2GNq9F2YdMPsr3/r5+LSbl9zyWtvanB1FbMmnmlEEcARihwRCGIhrWrKC5cc3kOQgXbK8Ke0usqRSmn+OfbwBqwDh/QDwfmuh/GRbN/adxw3YzRelCcDlC1S/yLb25KA8LXRdtdy9X0+F7izQPchVoNMHcj3QT1XrsTCVtCKWNihRPzUOrZ40qXDIgJJ5xQyY1zLnLM1GK9cnycLcp+cBOVqy5Q7NaMlEOidIvKgGbOcnOHnzTFmXoqMljwFsCDDhDNjq0KTxTuCHIIAQDbDwGxix5BbAMLpsCABrDt5qU6/HDAKJOvIogmoCq6hTirfdlfM37iXQnSNU2yPs3TACjxmj01MUGzWm1xLmJwPoQoHyvHWkNKneipJaqIzt9D+lpf8B6gRsg7S3BsiEwXxO4Q4tudCxy2jJBaMYRcSaUixvdUHpiWUEBUaxVSGciKjrAK4aAIyIJC6VxqFQD26A5L4lTl7h2ry41udRxaWiAHTblAFTwxQgL1TmNnhsA8N52+07ZHM0xeVaPuYMzDWbGy6NlR0zsJsLSdk1/XfRrAench/TM+al9HRft31W94PqQbE915Y+6yg9D5y77G/NQgp1p3D2ehF2FN5ZAGlz7oq0fdYj584J2/K7vv9f4O+86S3Anfd3Cx0vxvEa0B5H+6+/95HW+6c97AyefNOpy9SatR1rI6xjaA/Bjip+Fjjgj3HPYmfQaqCY77Pg8VUvsSDhQkFy37EhlUtCQwXMz0H7HFug9l6hb/HWA3A7ZVqUxeyY11Ppqxse8DYHOFuUdYSfhkCuXyB6b2K+WLYFuz/X59I1j9aoDcb6vMdWp1dUNpXhWEpdRv2MmnkjTNX75zxjsHyp5pV2YIMLKeNpyUb9bdGSa0rANoGPCBBRUhWOJaPekPlSbXFSRRXQI55QoS47leTAHfVaz2YwKisX0gEc0agkmyKyLvJDrXRkBbdUAeMZaa5Z8dCm/KyBEccy0FwKEIyaazbMpM+pAk5+qEAcAXvXFphNGLhuho1TU1SbBarTAhBprwBMJTkCcUKaEokbWrKOPfSaUWnYce7S61j+4iVpySCN6w0AjyLCpnptC7kfVtGoumLUVIAKUU3GmBG2WMSldssG3Jpo2FwneyXzFuoVxkgANFg3NZhQT+ScminVQZWqPlsKKZ1bJmbG5OJHcxZDbOZY+hrM3ffHA9qcuuy/cypOhR6mS3oGaC7ddJoH26lwM898/X3Wy8IZijPpe35Y9TYWPTao9NwpuEQZa8oKITrL/NYsPP9KBZ2X0X79138dj33c4/DBqr5q+mcNaI+hfcVn3IwP3Hke7/jIfbjt7C7e+bGz+KIf+U185dMegkdet4Wv+syHrFWK17a8HSEYW9vB7aAe9FV+rPpiTActj1frq28OlAMqkAupbwN5FDn0eEWKgcWRLjg7ALh1smxGDAFfsr/N9gG7eXFfl78+h36QC6BNXe4Dub7f9gO5rr4EcgMUmDaL7taC1dqYzZswE2ov2/gERpyo82yTJQ+u0YbrLDUQ7PMGYPfRkqmPllw68Ou9a1HqKmoFrwGJYRBHQksu9gjlec1xq0CpHrOyERyA5fbcYGG9NpsN1mZG8pR5lWSUAlIaL5wcL8/LYNWbLDGGFi9KLECZImJBADPimFBviAc6TgTYbtwt5+/wGHunAsJGjY1tURzmk0CsA+bnxwJszxciOjWSzQcuNKWOgSyCxLCqZ5FHMmGjUXv3ggJc7EtLJr1vmhfgaQCXDNqshZZcRhBBct2qV7bWzZFa21Fs1Ahbc7kPFjo2zwJQE0hfg3mHCam/UCoFeuwQIJOkFlJgnCsqhxmluRdmCpYVfHKhGgUKdFOKK6AFcr01m0bUeYaJ57FJLdT+HM3n/lj2mt54UNonCGfNYHSEFjrPLXdg6PeEu61oLAfcfVXH5co15Xtc00NlD8J+smfmEVgSGjuG9qIXvQivetWr8Btv+nVQuXG5m3Motga0x8yqOuLkRolve+7jcP/uDL/1gbvx7958Cz58zw7+/ZtvAQCc3Bjhi5/8oMvc0rUdC1t7aA/HBna9D8NWiTfq2Iq/5CsVL5aYO4sobgNgmFiAcG/4as9GncTP9TTcPDLULusXdLbA9OtBD+xyz3sCjn3rmEVzwBbRvqy+epDbS13O4gIBdIB1B+TClc2vFYGilhOTxzS4fiF3vr8ftxhuhJHk83rCyQuKsRyPYwW4lQoTmchUbIBti5bs7sNoxzaGHCSND9B44FKsLSCgLTZpgFK87QiYXRNBFUn6n6g5LQGEkQlVKcCHA9/s2qXvE75opZfhRuSHXF7bzNNV7hDKC4Q4ZsnVSZCNGaIksMRj8a7GCFFJjqTxtoTNOwPCx8eYXsvYvXYEjJTSGyImpyXf5Gx7hHoWQDtKSw6S0oeDiFS10v84ry3rfKrVUxxntC8tOW0Umcd7roCUOKlbY1Kj2JATLQ1SrOTEerdAzaWkDSqUwrxVyX7BrBCAOlMProJMVB7k6iCULN+bkoXqbICRkRSVW5TlmhQsS7226WKTPuV1dr+LvcJwblPFW6ukeyalvoJsBrUeij0eVh+zrZ90NvLSkQ74XQwWB8Hhomf1EqBwJS9f3uYFRtA2X+zvIHcVpw/LqDqaei+FPfjBD8aZM2fwxn/3b/GsH3gV/uyOuy93kw5sa0B7TGxvXuOJ3/emwePPeux1eMpDzuBh127iuU+88RK2bG3H2o4QiH1K2ZC38RDsYMPDK1WwEr2Zl9v6HiwyAIZ5wUm9nsgFlOqcQt2lD6JDfU6g1wku+bZZXGprPcaZh7O9Xm0+Y/8h2h6TzFWTvOXM/SBXwelQXG6Hpsf+fL2GARXXFuuPXFE5AQt06y2SWI9QzE28CAAwYYA1zrSSRWCw+NhFtGTBR8mrluJtNTbS6vGAK1kEKDSLeiZgfjqmtorQkLAHPB1Z1JKbajpzx/ej9QNDRLQMSKChtloOXi/GNb5fQE290VyzlTs1SFwsRdL0PwwQIZSS9mfjnhKxAOJohDgB9m6eI2xWKMcVik1GtaW05L0C5dlSHILzQii3G1EoyQYCzRTgMtBQoY2WXLv8thZTbF7MAPHCGgAkjREmgGfmBefkWQ0j4fSyAi6uA3hWSNgpAyg0NVBgBFWOjnUhHtwqCMgFRJmfAVQEAoGmACD3iEJBrt4nmQBVlPRGKS5X/za6c4rBTrHbCnIzUT52c7BPGM57d9PnXpiqQmcDrgNojdbsJuIg7Zay51Qai56yWIAjNfa3zzrq0b3n94D/IVvht5KB/pjiFSxXnD4sS7oEV6LtDB+qqgrb29tgZrznPe/B333zbwmD5JjbGtAeE5vXEdvjAhdmzS/3f/47n4MzmyM86NQGHnz66qAMrO0SW8/u8NouwhjDu9uHVP9F2YpAe7W5sARY3q9fLsaDnJ2yqM0dCnW2MCMGaNqNpWwoidnCU72FnINdR2/OQbcB9I5318rkINFTlxeBXHeBZUFu8rS4+loe3BrJM2recC5cf/gYXN8+GxeWPLZcGRBt4m65BKqxKAiHCl1asrt+Hy25UUmGULYLRl3KPbbiQNEAiKDHOABRxaTqTUa1zSimDR210PQ/IjjFiGM3D3RMHcM13at1QRpPi7NVj5DF2XpKt4hFidcWkJQ+AqqpAetaaZyoFzUEycE7B2ptc6iAYhc48ecjcBhh90ER81MVwkRoyfVGQH2iQj0PoLMjoYzviJswTljq9nTkZWnJ5h1PccPaHSralfpNNyeICOaK56KQubBZg8qIMK5F8EvHn2vNfcsNPZkKlrIblYBcADEGwV+zAlBhKqOrQ1MHJQVvkg7lkpMidFJW1ucP1xEcSVISWVxuRU36Kf/McNTlnL7LBRADxIufPVS8MFzHs5vlb+08FXvozb4wZwr7Q1TYFG/b91DWzYA+Mwr+QmMsQMvdhqxCIzb16Iu1o/ptlnCDo6n7KK0sS9xwww34gR/4AfzDt74Nt+08cCzvI7er4BauXnvbrXfj3R+/Hx+/bwf/5fc+2jr25U+9Cc95/A2XqWVru1pM18FrO6jREj/4F1ftwSteFWwvW3YZsLxvv/Qc5f6PgZ772Gfydg7nNGkt0KdImuJBfXEvYuQXkdRQYxMY85dQWnMCNR6AenCp18+pvr2qxDnIRTsut+VZtUW0B6DWNg9wfQyo/wx2XzRMT45oAGgCl4RyLmXqMSehoXqTV6IlJ8qmem3JvIAKGBuPmQ6PCQNZnQoqmeSYgdb5qYgwF0GmlP4HToV55HLbOvqxH1sKEFEogipoIcV0h0rjbIOIKPmNBwNxYa7pbGZA3AN4JKl9BAjrdcaMesyIFYEmKmilfVQolXrrEwH08TGm1zB2rxsB44jJyamkCppUiEyo7x8j7AaEOaHYK5JQ2Kq0ZERIfOpcwJ2PNbVvhcRZowF+5GNvS92UsLhnFvGnPDVQFI8vz2SpWis4JQWmxUaFoAPCTIiREOcSg8vz0LAKonqb+0BugNCVRxY0K+W5Fo9urA2l242hRV32x0IFVQn3PSF/xsK/th9kLc+mffdy0LvAEzgIgHvMUnT1VTKY6zZ7pvWX4X3LuNKDFOqeovpcu8gfQtuAO4If6KUFF68we93rXoc777wTT3jSk3Dr7/z2CuN2Zdsa0F6hNq8jvv4//n56f83WCM9/8oPxHc9/PG44OVmLPq3t8Gw9la5YO5TfyhV+y1eaCguAZ6pv0fGhYwuAcvcUHq5nCMj3rPRaHxHE+9pTzsfO5V6VYm7oDq32s4kwERo6r3rGbEOpAThd6jK5v30bF8Xl+te0SHUA16i6eb25qnILcHvapK7xjY6ZAItfOGbtS8BNc8OuQksmvQYBjedPgYWk9HH36gCuXbPtSQRA2ge7hHrMqDdlAOJEPbZ7ch6pdzfFBwe08tqSTRNjCSiwtTGMI+lIizm2E9PUUs+dAcYQCTD15oJRb+n9KtDiEQv9klk8kazXiEC5R6A5Ei252gCm15eIE0a4dorRqEZx7R6YgfnuCHS+lH6ekuDXeaFCX7wvLRnqMatrpSbXhLDngK2+ekEyUANwY6EbARVAID2u6skbUWJry5gEpqDjxpESyAUH1HuFZCdRIE6BUUxqvZy0vTZgPA+Dysq0F5r5k9GkaeSljyFgV+d5oi6r5arLftPJ6MydXWT7HjkT6n/28BoKw/CMDP/ZkEbBIorswLrSNpQWWYcmvchotXQ3Q6r3y11LvjdHYZz1+3Gxv/t3/y5e97rX4d/f/mHEq4BqbLYGtFeojYqAR1+/jQ/efQEAcN/OHL/yntvxkXsv4C8+8UZ87TMejlOb5RrYru1gZov3tR3MFglqHCNbKdRoGQ/twosNf74SEB5qwxCQz2+y73oDi8dWTtX8cgZAs117qoFy3qYMCiijRs3XUQFz6jIvArl9qsv7UZYDozZvoykrOwqpB6QtmqNfJGufkXqj0v0YhdW32VGqRUiph5assasLacnee6x9aPeavMkZLTkWjLipIH6GBnBZPxFQ1gSeyljUG9D4VBaRqal5b82zC9CYW7HG/vqdeGjdAOBSnrMtISs9MSktmzdR7zFEQrhfwF61rSrJ5kEkgEdRQKWltBlR6q9a0yht3RbABTC7bxPVGKiun2N8Yobx1hy0PUOMhLoqJA3QfUZLlpuKYwWXhC4tOehNarw0RxJ6sgOLKZUTmnuy+VPUDgDZ/Zh6clWk97IZxA1gHSnIHWu1Ub4frB5TrgLqqXHUpa1knt/NCmE7gmOQcyIQpyJzzEovNvEpqqgNctN4GdjlNnXZm1ddTp859WVta6oyNl5uszBHJ551EAC6TZam0oEH6AKqLwHDx4yBscBW+ilYBfwCSWX7YswYMkfCRAvZ/Dgm9tznPhf/4uX/GvMXfd3BfsOvMFsD2ivYfuMfPQe337+Lj96zgw/fs4P33X4OP/t7H8HvffBe/OCvvr9V9tV/47PwZU+56TK1dG3H2Q6aFmZtAMD94OkQ7GAqxxgEZ73XIRzqjvNgVXat3oYMn5eAXFbX0gC4D4T3Xo/b4M6KJoA44OV13kp/wIM7o9YK7mu8uqbWHFtxulKX9woCAiDS+0Ug1+45B7nmFc6Ulcl7r3JFZfMkOZCcx1Haf0k52AG2YFRVu9cELvehJY/cor9u7jl5R1PfNc8yYoDmmkdVlXBrvWahMZGJ1klwXjXpq3oiY1BtMbAlAKPcVZXkXVlcx7EBLtd/Nj42PVz6n+Rdtnuv0JpPRsE1OrG3Yk8AoqT2kZOSx9dSFQXpmERLrgiFqiSPz0md1bkx4niM2bU1iuumoBAxnlTApE1LLnaUljwtkuATFxrTa9RSA9fGNihU0diEsMYBdUXJO92i8McMQDkPbkoNZDHcrVQ7SjE30SPNUdsCuTo/TFGZp0Xaw6oV3FApILfcqkDESc081oQ417jcOYGYgNoNKOv4eOqyt1LzKCv4bplRo+vQ+o5a2qKWmbqzey9pq7rPnVBDqPKt59zAw5UatkhuPn1Rx7g7JztV9z17FpRdKYb2IGl7gE6M8aFZcM/wY2RveMMb8NznPQ/v+P4fxCO+/TtwfmPzcjfpUGwNaK9gKwLhodds4aHXbOGZjwXOTyu88Kk34Y1/8kl84I4H8LZb70llj0jEbW2fAjaUTH1tK9hR7QBjaTzab70IcOA6WBE8LwGWB+u7SODce8p+ADivYAik5uV6wG8qusjL26P+nN6WuvHhY3cdyAXa1GWLW035VQ24KQXPt6ITl2tey+w9gJRCpENTJudxMIegj8HNlZQdEG5ds+qmBoolRFTKAzYDKtYsT0tWoGj0YUuJE2bU5Eo1iq+P80UDHE30C6EBQXn6n9zzjFq9tqQxtKpCPDsTQbWk/0EUgEkM1BMFt4QOsAWQKOb2/bI280g/qwHEtthWLLnd9xUJdqwEWMdSvNrJU+zEnRItOTJ4JG2tJ3KdcocwegAodwrET24hjoHZyQgeZ7Tka5SW/ECpscUEzIEwE1qyeZyT0BJxQ0lVUMRFDYzFE9pKmxNJKN3RzSnbpDAPtvPetuKXbXznCnL3gh7n9B3BSEB3KAU1G96Iem1JCaTKyjZIGscbyohio0qU5ZQj14FLngdw1fZGJzPvLgMNDx1JfdlAeEt8qYigse1IqcX2NcFAvdH/oDOasxmxxAv3gcuk5NwHPBc8z/N0Z71l+mjSC09YfqP1oLGqRxbrGtG3N3DFGxHhv//SL+H06dN4xQtfiH/4xjdf7iYdiq0B7TGx//7Ht+Fl/+2dvcf+1z/8fDzloacvbYPWdlUYMRpa2NoOYBdPiVpkDBxIsMHoViuVX9aWAMuDQLMHWPpGHBZ9u7PR1+eh7ZyENhjsO77Qy8td0OwXkK6TWb0iPt+tpy5ThACsmQCsInkkG49eQ1nmJD7l6+E+kJtTla3e7N4ZDcA1pdFWfJ4HkrZJwe3xNe9KopkqGJI6qQ22Dbyw0H05CICV2E7xQnIB1IyuIJH3+jBS3G3yEJsybWHpchgYqdfQiVKl8619BrAV2M5Pyk0Xu4SgHsjyAqWY4BQzrX3YAbcGejU0kwuIJzcCpCjLgK15JJN3W/sqzAjFntxfnDTtM6+4jWe9GUGs3kbn7S72COUeUMyAydmAWACzs0pLvm5/WrLlcY0j8WajYKFAG7AGHC0ZaYAtbU6leXbhPbcK2slvVui0SvOTqJkjCnaJZLDtmAe5MG+uxsSGMoJKtONyWajKqAmxKhuvvQLQMKoRPFAbSf7fRF12h+KsACoBoz6GNn1XuMml6+dEGjP7bMRt0EsD9OZWJUh9zJZ7t8eM+pwbRQIG8qpKbPs+m5dKk17m2Z2E5Zb8vbFn3EXbEcUDtVKZHSO78847cfPNN+P5z38+/vSBB9Lz6rjbVXIbV7+d3Bgeqq/4D78DAPg3f/Up+NrPfvilatLargLzC6y1HcAWAbQD2kHoVuT+X6Ywr1C8Q63tv3jvQmQwBYUcXQyE20UXA2ADWQus9zA1xzrN9KCt71jPvbW/Y9yuo8+bS65/HSBNi/w5ENgpmQYFuYR2aiEFGF5hWbyQOjP8Z7aQH1JUJsDnxO3Qkz01mZpzW7RohsbdOlqyYzcM0ZKpVq8sEeqJpAIyzyiZt9S8e3bN2PzdBpLUpAaymOWJjEkozCMK5y2Uugr12gb1iNYToNqKKHcJxa7QlYs5CWV5zOoVRpsG7cGtoyODm35HAJg5qTkbNbxFR+am3mJPvbrqsY0jEmEnQvIGR1UrJo2zjSOg3nJAsgbG98trdW6MejLC/EwcpCVX0wKYB9BeQHk+CItgRCm1E5tasgFBmw8GFAtO4JZto8RSA02poSh7zz+3q7G+grIA/PemAbkQbyUADoWIayVvPQNjja/N0wcZyGUg7pWdh0SiLme0YlNd5vw7zYR6FuR+56HNirK56gBonkoMWADozFPubRxB5ZAqVP8DkXWDoc/qSAKEF5k9D5YxTYe0FM5kiylerupeOwpasD5TjmPI1tbWFh7xyEfiox/7GH7hTb8KXHv95W7Sodga0F6h9qY/uR2/e+s9uOXO8/jIPTu4MNvfjfbm9925BrRrW82oofSt7QC2QFXyoJYvjlaxhZ7QA5YXb9Y+bet3BgDAcD5EO28ICGflLgYALyzTc0rrjS2c+5oCdBZerfo94E11sGubB5lNJzSxotwcQ7Pgl5hRbYNPLUQKdNUrmWJNjRaabwjEnjmQvGNZh5gXDEgAxINuu9e0eeHrVtC4NC3Z9V+xSyigokUK4qotawcaWvK8uU5SQrZFqAF8vY55yUx1mQrpFxGmagC71COewFABTAIeZ9dI+p9iR/rSQGYYAbEQCnAeB50LSREjeftI54bFOEsbpNFGvU4DkuKYlZY8B3iPEEeMetP6Xm+4AOJIqNMxgUYGIiEqLbnYJUzOEkbnC8Q7thDHjNlJFlryNUJLHo1kl62aF5ifLIBpgfL+AiECcDHGccJNOhfKX6HgVgaW9V7qTFzKNiAoulRMBnRtg8dTP0k60KcMantyG5CL3SKxG6KB8BG3QG5uLerytJ2gtUajukweZBKjGEcQMWir/eSITBrva3NcFZm9R5Sb/uiY5t31ZoJWuSVGSN9Dz+jaPfdMZdyf6ZPTpBeWVQr1MmbK0Rf7OxhlvI/CSUtzfc4cI4sx4od/+IcBZrz/fe/Df/jmb8ZrdmrsVcefqrcGtJfR5nXEuz9+Fu+7/QHccscDuP3+PdzxwBSfvH8Xd5ybAgA+42Fn8NmPvAYnN0bYmhTYGpXYnhTYHBfYHpet1yc8+ORlvqO1HTtjdNKPrG1187F+h1/5xZ/qYzSXulQP4FtY9362IMZoISAe+JiBFgW7j67XKj8AgDt1+iIJdPUsghZ4fBP1MFtLGoZNbzJPXT/I1QN9INefal5GT1n2i/wkxEMOFDd5TjvKyt5T5L1ifQDXA1/KcuBGp3Br4GPIcwu0aclBxZw8Ldm3wfD6TPLGcqEiTgmsKi15IuCu8OlkDFgr0GmpJDvhG/Pg1QWSJ9pEnBJjQusR9Cb1pTjbXT1nDpRT8YgGFahKKZzIXduPZ973gG5OqEpybJ/Yp5JMtXiUiz3py2pL835GSKODUISb4SNVSQbqsQgNhanSkvcIk/tIaMn3bWI+AeoTNbBRoxhHbJyYIW4RqhOF5G7dlbjbsEsY3R9abAHz3vJYwaOjR9t9pty32gccqR2Dq+AdrDRYm+e5N7dDWW7H5dqGDAFCEzbKMiGBXGE8xPZ3uoe6nMbPKMw1tQEpCPVUv9x5CprACKPo6mLQuAYFtzPGhLoeAKlVAM8cIAaAqi081bKKQAMPzIVAeB9Am+Kpl7HAoI0sHdJgxdaAi7OkOH0UP89HlN/2UOwT3Y/Onz+Pb/u2b8Ov/fqv47++/vX42NYIf3DnJ3Duz9936dt3BLYGtJfRfuhX34/XvvVDvcfGRcBLv+BRePQNJ7A5KnByo8TnPvpaTMo1P3Rth2dUA6Nzx5Azc6WZLZAP2Tg0KU0u6nxNq7HsxjkALOVqNrC3T1Hvdeo9f8iG2HKAqI769wtAcb4OSuI57aZ03yuKOzSwa/850HpQkNu0pwfk2msPZZmixHwCBmhFdMroczzixoMJNIrK3sPqvacZuDWKrKkKWxtNyKnP49vy3Gr+Ug6UaLvpWnDAxb5zLGJHzT03tOQIyHhHicn1dOTkmXVxtnbfwWiqqV9Y4m2jqc02X5OgwIoDEOdSV7UtXrBiT+47zAlhT+4pjPR7PUbaoLHrpj63sXfvCdbP3AC41rg7WrJTD6YaGJ8TwFZvscb5ElrB1tSmJceaQGOg3tRxz2jJoBJMJWZnGHvX18A4Yrw9Q7ERwVtzMAOz3RHqvQJUBYRdiZkNu3JjccaNArWJORm49TTlBKQUvHuQy0CMTbqdRFmuqJlHNlcXgVybA70gF6BZFvOaU5fNiMW7W7RTC6XzrO2aFzdZJMSdbCmeP9KU3kw9D80wigiT9q40M/U+ijiSxPn2HawJmA/8iGWU6D6jGYGmC4u027LsbxJpXuSLxbSBRQ374jHxsB1RbO5R2cte9jK89rWvxY+8+kfxT/78rbg9yoDR1mVu2CHZGtBeRnvaw89g8vsBRMA1W2PszmvszGrMqohZHfHq37y1Vf6H/spT8HWfs6YUr+0QTX/M13ZwOxJKU3VQShMtvxAgNIvdJSyOmnjKwTKDtGJup6VoHxpUpRRg6LyR3F8u1ZMd6/MKdxZWPrdgBor3BbvWyD5acwZ4+0Bual0OWv1JzqPF9n9f+SHKMjt6sFI4iwTgIEArxd8iieswIXmCWzG9DqSm+3Ag3dpYB8UstQNcBkzt/NitW8SkkNR8Dah7QZY0DxXAJFryRPO3MsmiWIGt0Yh9P3BAEqZNNOAonlnzGFs6IbAKUlkdmu6niCrepUJW9QYw32AV1ZHvczGVUaYKMGpuEvbyHmM3jOTnh5azfvZxw4mWPGr62s/h8oK8qScisiWKxQrcemjJbOAwoyVTJUB99ABh454S1Qawd2OJ+ZiB7QphFFFOKhQKbmMkxBgk9rYmFGdLSX+EZiMipQbaiN3UQPZ1aoFc6QCGjDkrNTVmispprI26nINcADBnYQ5ygQbspv5ndKjL6aCNo6ou+3aXUdL5FIwiT+kDtDb+klfavffph3LryCyUQpvuGHFSce6zPsAMAHWtys4LrEOTXlhY5tCyRrOLX6TILR2NI0ieCccH1L74xS/G1tYWXvEvX44nPO0zcOavfwXu29u93M06NFsD2stkzIxnPeY6/Oq3fQF2pjUuzCrszuT1gb0K916Y4e7zU/zPd34C91yYoQyEz3/s1RG4vbYryw6kHrg2AG6RdCSVX7pzzfu0jMmCdLF56mjerjhywNGfY165vsUVt1HhfpTqPKarP6Y26yYVIbJ25pdnv9DOm5bOaV+I7doObPaBXEAXtn4R7808TPuCXDQrZA/sDeAW5vHqAtRyp6EnCwim5FG0GFPDPqyqpnlMo22UJXBrn7GOeYmVaMnEUDEpnVNB6aOlAvRWPtOma6gilLWcU4+heUKlzmKmnlgFhd7rmVRVFWhJ7lEBh5b+J07kxpLqLwOweN0AEJk3UwBkvSGAup40/ZyEtXQzSUSy2vG24vFu3icga/2lqzjWeFhPS87T/1g9kmNW2mabBH20ZPPayrUbWrJ958IciHvy2fbHAoiBOCoQC2DvxojqmjmojBiNK4TQxN7ON2tUNYH3CtA8SCzinoD8MCtSf7DG2KZniG6upFezPkVlG8taJ1Uel2ueZ7cpMAhyvfVQl83asbrZiUE6nwMj+rCJwJr6KHU0qBRPb7pkD705na/fw9ZmWTUALjmgng54aI290nMaFRGhB4S3yuQ06QXGMaSNh33LssYqX+TvK3OP4vRhGQM05NW+3NZzv8961rNw880340//9E/xnGc+C79BGzg7X8GtfoXbGtBeYvuJ/3srfvhN718pb+zDr93Cr73s2dgcr+nGaztc4wKYnzoqJPapY0bJO/R6AfHkXOSPcfLSrHrRQyrbivnLLEyHKxjy/PoYRLM44gQAes5o0NwATZrMu+M/c4vb/PPe2F+3uOWeRSF3Fr+8NMhtgUKnQEy+gAeteYHWWo4TcPU7WS2FWKMKG3hWReUwd+DWgFcpfZ9S+nhQkD9WbDMgGkgTr63167605CR+pF2kys4GOs3LmNOXod7QMJdz6jFSHHG9wSJOpXRkA9gppU4AECgBaaBJX8LqvY46J4PGzLbibBX4lDWJUFNpnlFgfkrGotyV88KUEKYCUEnT/3CJFv27NVbWrdYvFqfKAmyTlxJI6X9S/wAJ2Fs/rURLNm/omFCP5fxiQkrJluJbtwfgtgniWMByHAHV6RooI0bbc4wnNXiTWh7cOCtA943Ek72nE8DNTUuLlISNPAhzrIrU97DPbQNHvwIe5DIJeDVvrsXnepDrzX83skPizaVmrvvTjFlgHmAbvx4Wjc0tV6hRZs6tyNSWCQiTfkEroAH63c8JXIfu/QLgWYF6iuHfobQBtuQPVQCo7KdQd6oOjGJ7vlTZIYtHtGsf5wF8pQLau9tvb7nlFrzgBS/AbDbDZzztafjir3ghfuqPfwPYvjzNOwpbA9pLbG94x8cXgtnHP+gEnvKQM3jhZ9yEv/Do6zApA+hIyP9rWxsAYqF4re1gdhS7v2gWWxfrRhcvxLLXQhK+2dd4MVjNy/ZfEIOAeKgNNCMFwv7DAVCsC2B/PJZop7iwhWILQfYo9tohHzubAcjkLe7ZQPCA0cDBQpBr9S/y5Np/DuDkIBdWXw5wzZOVg+GWeFR7I4BqqJKyjoGCQwRoDlR24ByNYIrhe9tMsH7QNi1NS3bpgpr5Z8cUuBWuT7P4YcvvWmq99UQ8klwC8xELKJsh0Yy9qBYHBYyEJuZV6zMqctQ4W0ShHHvatNGpi1pDCEIjZDXflgEopgLiqAbKucbkjpu8tuy8tq15kAlJARBPJesYKlBPdOTQbCD4DZWlaMkJRSPR0Y3KzSPn/WQRkwoz6YPJfVr5HSW4APZuGGFvK4K36pTqZjSqgVGNemMOjgHVTESmMA0IsyAbD3s20aU+S/sUS0j6mj5FZf8ds7+H4nItHpcJtT53Q7ah2KEue4vtS7WMpN15/lUGOht45uVNZQhderOrt/XzQG4+9rVhFHsFnhYpOwPY1wmTxJeWMV5Moc7tQCuUXHH6sIyMPn48VDU/8pGP4IMf/CCe/4IvwXVf/yX4hx/6TZRbx6Pty9oa0F5i+5m/87l43yfP4a4HpviDD92LP/zwvfjwPTvp+AfuOI8P3HEe77ntLH79259zGVu6tk8J8zvba7vijMFA0YNmlj4fK60GaEkaGCCeDIqLC0uZ/oalVCT5ObbW7Ku6DwQvAMXmeTMr8hOS56P5yFLHGKDotNtAWg52TTypp+3pHPPu6vX6KMw5dZmzOlqCVNnUyEFu3vZekOu7SAWH2g1BimFttyNPT4MmL2PwgFgvZXRPDwRWpSUDDSDwMbDmWdW4VKG6Z3M56w9TP44jFmBOmv6HFdi6WNEOnRjNvZoCcpPfVDy/AiQdRde8eipGVWpeWwGtooRcbUr6n3JXgJX1b73BKactK83axiIXkuqjJceRfEAO2II4baqsRkuWe5Q0SJy80PVmVM8tS7ztiNuU3ih1Ug1s3EkIdYFYFojlGHEiwD5uSO7boqxRjmoQMWIkMBNiHVBVQUDTXiFjsxdEcGumHWBjn8T0tL0XCXJFXTibOJ66nNF6gz3vctEu953JnxsEmVveODTPCCs0JDrY0JybwlwBvUrGBGBIyTg0auedYwVLDPACo5IRyoi+y/aWX7IcAEmVdLHLFLZY8BUuuGzVLNP9yrT2zu/znvc8vPe978XTn/50fPWND0L13Kejmo4uU9uOxtaA9hLbg09v4MGnN/ANr/0D/NYH7modO7M1wqOu38ZDzmzihU+9+TK1cG2fUhbpQIILa1Mj9MaDHoodZHiIl3/K8/Ciqbf4iPddZCwUfqqod9vfYtv66m4ov+79fiB8HwAc8kXpTAt5sKmWBJMKbtR3/U2hAVm+jZ18r7a49SBXX/qoy21v7j4gt69VDrwSXLc7QJR7QhMSbYFgF18LyNzUeyhnWWqgCdSLp4vlwoDQgAc83Tc6tOREnbdzzDNbunr8PVXyj8sm7jenRCeKdU0YXUATZ2ueZ2KECoiVlEl5baO7DuQaXChemhmoErAYRyzqyBqXbYyJtMEBA5iykSKpfYDZqQhSQCuAmVDO7H7gNkKa72wfLTmNnW0GjGT2mJK0nzeDtGS711pEoABqBJxKycPb8t4GgIuIWBAwFnDrxbeIgXoq37swl8/KC6KgHEcFZmc3BdyfjOBxRNioUIxqhEJicZkJrDTJuioQmSQudBYU5IrycbmjHaGbJlyqRz40oLwTk5uDXLCk2cmsRV12nR4zCnNzDGlzr6NQ7b5jZn3hK4NwjNAR8su9wN1jPc/djAqdHxOe8FAjbE4u+RsYoKJZS5QngMb9XuWljBjF5tGw0Lhn7K5ke8ELXoC/9FVfhW/559+Dv/OHv4xQrD20azsEe/JNpzqA9uzOHH/80bP444+exa/96SdxYlJie1Li9OYI3/IXH4sXfPpNl6m1a7uabRW1wbUNGGG1LeeV6j7AL6blVlyqbBtE7V+e9wXbgwscJvU0DZ04cMlIkl7CNYGqAcVkRpcumNOk+xYkbmFrIM7KFjuukK/G6M0W5+cohAzrB07g2xb4HQqzrfE8ddnwugKl9NkikAuk+McORTW7V8O6res7AJxANdt/TZ3sgH8eP1te8JsChHqjSYFjQHRZWnLy2uoGRgIFTsTJ35z33BY1teJR09h6YKznl7tKrR0xEEhS/2wKAIwWKzptjyEqJDpyogXX4h9LeYLVe0sRCOo5TgBZwUuIAAKBNZ6WCxWSIkaxQyhm4gku5tS0mYB6zM3GgZ+3cFM3tQuNd7nQ8bSNFQNhfbTkzEx9PQSApwLG6023GQFKSsVcxKTlRiz3Hkthdxg9WdLtSL3jc+rVvrMAUKCejBDH4qXeOxnBJSOcmCMERlHWCIHBY1mYx0iSmoYpKSrTXiGiU3NC2NFJr/MglharzCI+Fbgbk9v3jLN51Hq+cfN/RFuQzs11U19OVek8bam3123Q20tvdnXnAHihnkOwG8iqUcza++h1GydDltOkF5l4lZf/veTdA+jHBEZ9FJRjQMS89vFcX0n24he/GP/23/5b/OY73o4bv/4rEB9+w+Vu0qEa8SrqRJfYnvGMZ/Af/uEfXu5mHJkxM+65MMMH77qAszsznJ9WOD8VlePz0wrn9yrcfv8e/vf77gAgIPhf/qVPw2c/8trL3PIrw4joj5j5GZe7HcfZNh7yMH7YN3/75W7G8TZqLyYPvW4VvLnY85cFqLLYX+H3YIm6FwLkVa8H9Hfygl3yPJ61FZsJAJFE/MUvHhVM9i4iKXtdph2hWTjHEVLeTQFo7Ryx1iYgA4j+Gu76CynLvtkt0NyOnWzV62/NKLKLhihmoN9OyOOQHUCux0oHzWjJANq0ZLuuLaR9e9htThggaN2w/su9YYQkaGXz3af/8dciFtAXLZfzSO9LvYyW/iddI40FUixvHr9suWLlXqXfwtz1EbJ6FKjWGyLUlOJsYwNa7FpxxAm0Gy25s5nhwHxnXG0MjJacOrs5L3jqZ89GUIr7JYBHGYvBU30JYOImtY6Bstj0R0qLVFsMMBJd25gS81Ms82krgrYqhIJRjqoWrmLdOKqrArEi8DyApgWgwlMdCrwxMDT3KWchCYPU5WUt/+5lKXoAA73tc4y+3TF7hvmybrPn0GzfZ/3+ZXxdy7KB0u/SAX5fj0gT6uLG/xLZ37z7fvzrf/WvOp/v7u7i27/jO/CJj38ct37p87AzP1BewEO1D3/bdx5oTb/20F5GIyJcf2KC609MFpb7xNld/MZ778D3/88/xde85nfxqOu38ajrt/GEB5/EUx9yGs963PU4tXF1ceHXtrZjY+bdOKr6h8RAlrEVFg4gCE1wSRrYUgsYWlAfpf+6n+uCd+hY837BopK7996hSbMqYLYWmA3w9ewFAtpUzb4F40Bbgo5hsaeFkkIuEg0ypke4ekENEDLa8bnaxnT7S1KWU/vAzWK3R3Qq7XHn88aDbjvHPDoaSObBrfV9yzsYBQgWU7RoyZav2KcT6tCS7b4cSExeW6VcGshreW8z77HldU5xtgoGTeXW7p31PouZxCSGmXhN41idbSq4VEzFo5pAmQFpBbZ+PqRrUKNaW6uAU6go0ZF9O0i/J2EuGyKzM7HZdIlAsSN1FpEAVUmWlFhIgNLmTUMvdvjZjq1AS/Zj7cW7qJZ0RIAJhTUg19giaSOBqPHgprYQeC5gjjbcBoKC2TBXJWWlKm/cJfRiDgEcStRjoNoWYF+dqoFRRLFRa0xuhTBhoSwbyK0lfUzcK4AqgGaEYk/SCJVTQ/HZI6OPupwGGF0Prz9mr/4cF7ubrtGz2ZCUmXNjdFPg1MPaBWFROIcpO/fZPj8Lq6r8L/2rRgAW0KGXOX+VUJpVbIi+fSXb5uYm/p8f+RGcPn0a3/AFn4+3FFdP9pQ1oD0GdvOZTbzomY/Epz/kNN7y/jvxobsv4Na7zuO3PnAXqsh43I0n8GsvezZCuNhv/No+VY2DLirXdtFGR7UjDrcQv1jj1RYaRV9KmiEbWF+1Lh+QFGg7x4qBXXett1/UJF8k0sJd8k4O3B6adIelxNR8xrLITpaUT7nt/eWG3kx9i8kekEhRRXcM5JqHy1K2KHU5EmCuKS8stBJlOQO5zQKvq6ycxyS3FvNFg4lTO9x9sf1v3wkvLFUg5XQ1r2aLlhxEWXeIltxSDA5oxQFDga2lomnRktk1wwFkA2wcPC1ZAFta9JOrU+Ngw1w+rzc4pQGKpcTbWh7nNAbqUTTPn+972+SIKloUx6zxtt143QAASvPlaQNWmYD5SemIcle9mkZLDg0d2YBlDmzhhmhZWnKoHbgg2YhJMc5uvlBFKM35c971bxB6ctSct+l7rptTcSzCQjIPGaZOLa8O5AKyAVCrcFcl38GNe3TsPlkCBFQbAtKrLcb0RA2MJA2MKSsTMXjSUJajgVyjLO8WrWdoqDLqsjNRo1YvfEZzZYsZzUFQ3/Or730P8E11IzsUqV9BuA/82iWycI7WMZ+be8BymvTCsvr9WMrsubZk8d7rHeDcfSs+hllItra28Ja3vAXPfe5z8Q2v+Sn85ifvvNxNOhRbA9pjYnVkPPzaLfylp92M+3bmuG9nhjvP7eH7/sef4pY7z+PD91zAo284cbmbubbjZgGIW8cnBuSKtYMCzwX1DlLNljGjoy15fi5otG/b9tu1j+goeLqjvSsNL3jTORaoC1IX0L07YL4nprgLetHyrrDvEFWcrsfo9FOiy2a05pTf0miizvvoKZgAEpVV6laAoECQCwW7pGCAGqDhqb2WU7dFWfYgV/uX3X22PLhNgCx6aav+jW3uewqrB4IKbqUfpD4mSB7R3AtbA2Ul7avH6NCS2aip+Rz1Gytp44AlH2vt0q7YbfWk/7F0K8ljqx44A8apb1wnFOqJrDcYccKIIwKNOXmhbby9IJIpQLeArYJnAZDipa4VzIcZtT1nAYkOHGZQAChzo9oE+ERs0ZJTTPBYNwlG6HirOuNb6BDamNpmCOxcbvWdtScqgGs8vtTkPDXhqkrga9A44Djy6s16raTCrO8LII5iM49UdKmhf3MSnmriUTV1ksXmToHROQJxiVgAcTSSdE0nGXHMiNs1woZRlvXLayD3dPuBUVcFaqMu7xXNnGMgTENK2dSm4SPRx2Wjqg1oOY/xzEM1lqE3+2M9QlaNDYDi9LzoXoQjOrTozuU9dX8/s2fiMr81B/0N7HtmHJYd1e/+JbCnPe1pmEwmePZND8JvfmINaNd2hLY7q/GBOx7Aa/7vrfjIPTu49a7zmFb9T4u//axHrsHs2i7SuJ/aubaVjIYQ1YErBnjMB/jN5OUdx+ZlWRb8VrSv9zcBkIHrDVLfFja63dc5rbNVfdk+Zt6yltXUXVkZPTKnDQ7FznEDFLoeX/M2af9GbqX3CCoI06f4Cyho0EVy4UGuApSoQKiJV+R0ni3mcpDbUOQpgRXbGPDCUx7O9+UdTp6h4D9Ae7PDPIDBOqqpZyVacsmIhWtH3zxJY6BtIaeSbItiR0VO9GDntQWAogaYSBWMuQ3s/X2RAKcwF5GzetwAUwFVaNRtHXWWCe28ttbGGTkFWCBO5GJh6gCApShSIF9EAa2hZHAhQlaz0xGhIhR70ldhJs+oOG82SKJ+N3IhqaVoyUXTz+I1RduDRy4nbL4p4jZaij0S7EXa3wVQbUdR7fUiV+iCXKYIHlm7dBI7oFRvuGeJAVvdbApzIEyFIUBMiEUAwgjVBlBvaVzuyRooI8qJKCybtajLp9rTr64K1JEQZ6K6nCwCxa5TYXZ9lTbwUt8hbWClMn30Zle+Q2/eT7tg6HP9znesGPjc2UpyPKvkrMVqv0sdW/F3bRXLw1KuKMvztTt7zWteg+/+7u/GF37RF6G+9owLdznetga0V4j91O98CL/4jo/jvgsz3Lszw968eYB++kNO4Rv+wiPwsGu3cGZrjGu2Rrhma4wz+ro9WQ/j2i7SCMB47aE9qB3ZlgDTIA1sKXOL/6Uut3BnPys7WrBoMlNPSm7mSRlSJx4Cyn0U7MGyAJAvNihrjnoS2dPGNB9jL53MXFY9HuTUd/likhtQZDG8kXUTRD0fFFm8VjxAXXaeMmsGVQTMda3pAHgco0kZk+JTHWXZ6nbAggBJNUKQeF0P5qlZdNtnjVfYLcx9NxHQSQ1kRa3u5DlxdThasgHA8gKlVDqsaW1MMZgDtTdAEpBFoiWTfazXDCq4szD9DxvAlJuRFDVN+wF3vg1NLcCRC0Y9QfKaErMAqLnzGLL2NxTMWv9a+p/KAX5SgaJxE2ebvKMK0P24hQJJeXh+guX6CoiLGSHsAVyQlDMPOK1IS/YMA6Vkp7nhPW+qjBU91d5t8LDrT5CcO75fCpuXnEcmqjYAciFjneJxxzZ++tzT71Gt4Dt53dmUphXwR6DcA0bn9YtGARzU8+3AZbXFqE/UQCnU5dR8EtXlUWgozKn/GEJlZkI9K8Bz1yE1IeyG1uYMzQmhBUho8FmbFNZd0ZR7Ny/bR3l25w2mxsk38IbKLGsF7+NFblvaOLsYY7QVpw/TVvFKX2q70P0oxohv/MZvxE/91E/hrb//+/jFC/fgFe95q8SbXwW2RkJXgM2qiH/zxvdjVkf81c96KK7dHuHa7Qmu3R7hYddu4ZmPuf5yN3FtV6sx2jvJa7s4O6ouJF68276fqSdjaVsB/MpCcZ+GEXoXTwwFEX0Lqx7QmqrLVYq9562nng4A5u4lu4CYWiCu5eF1qV861E2rJ6c1G4CzvjBwAIblM2EG4qS5R09dTq8mBOSAaL7QpJraqYUA9cZRI84D2YxgoFHzZSTA23hxE3KQyxUQsE9NH6TOjO0xaHWxnp/qdW1fREtmUxVW8FHs6f2YV3qkFGzoWDhPoKcYWgysXTuSAa/GY5sUg52nuQX4K/PaInn9kyBM5l2nmlBekDIWExxHQD2JoIrEaxsJNDdwp9dxwDZRdCMUUEubLa+tp/umemz+RYCCxtLOCBwY1SaAiWx2mIJwMbVxWI2W7D2Kae44bGmeXVEt5gbAOks5bx3wTUrRNu1s7s/0orb5ZJs2JnoV5J5bcfcuVp5HedoglmcXi/efmJvvXGyua2rL5R5aoGV8f5u6nL7PBFQnGfMNRtyICNtOPZaAclRjFCIw6oKHmMW81lUBrppB4ErSD/WBJ5lT2XN7MAYDSRU7Ny5YvnM9ZsrsC61Hn+BQyqZzVizvzzuqHPHHjG+8s7ODn/mZn8F7P/ohfN973oq33/lx2ZC6SnSh1oD2CrDbzu5iVsuT6gkPPoGbz2ziptOb+LSbT2FjdJXMtLVdubbGswe3BSDsYHbAneU+L+PC8iuA5xHvD5ZzBWFvAzQwwvA5rClUsk8HCjfgMNWd0aTFs9ZTnXno8tubO89ZyE5pAR13jNwQ2B8h85YYQOQGLBh1uaFTInltDcRT1YDATqxnAgaEwmIwd8TbKDlhNR1NaIC11Q04sBFdP9XUoicbwEXhxKUMHGffiZY3rgfcpn4doCULfVXuuZwReAYB6kr1FZqr9ndLSKg530C83aBRk6lwqXAMbLu2ejBOGrsq4KoB/W0XtbxYWph6zOCRAMdqS/PRzqUtYe7oxF5IKgH+LM7WhL2M2mxeXV9P1YBjIsKogohuafofmQMNuJVXLEVL7sTc5nRz619dKDOAlL/Y0eCTuJRWGkt0wa9NzdDUTVHFprjp/5SyyLyVRA3IrX3j9X5GsT1caa7oq4/LzeIvLV9uUlt2x0qvulyUjWc7iPpyNQKqkzWw0TxYqIgoJ+1UQ+NJJSrP1g099GazWAfUdcMPZybwXtHL7KEeb3C6r5qAPeqMLzAMgltlyixN0yILPCwKmFu2EbiyHSWgPSLH71FZVVWYz+f4L+/7YwGzV5mtAe0VYI+6fhvf98In40d+7c/wg7/6/taxr376Q3HN1ghnlGJ87dYYN5yc4EGnNvCgUxsYl2s0srYDGAEYXamcmWNkR7YBrJSmg8TorgS2VwG/S5Qf8NACEBXQAe/toOU5G3tAa6uujNbWoUkzOgs/i7XLc5j6GMpc1ZqAht5M2XAFpHRIFu/LES4usAG5rTYnRWJOFXbUl2soPZcFiHJDWe7kDNXFfKLxGnUaKs5jIGacgQ/1wqXFPtCiJ5O2OQlNkQACtusauDXAbn1GWImW7D3jBv6KKcBzUoEkSvl+PS3ZNk5a4Nmubdc3EalCrpWEpPLxZNcvlVRlKXK8c7CV1xQKNmdI3lpTRwaJR1TiOtt0Yg+SJZZXp4sKKlnb7J5rXbSHSry2AFrpf6DjzkQihKRpdepJFEDcR0u2vLYZLdlb8sxam2wP3vWDTfEUexulALnvmAFcnxoo1Z/FMDcMAT1X+9c6RTzp7dzPXFDjWe4BuSiAWMbU7624d/cYiREAZ4Jh2i4LozDVZX8P47Na/s72sjuWovpslG0mYHaCETdd5UWjzJwbBcZk1M4lypv9z2Vm9f72HKurAJ72OFAYoFlAmPbXmdpREcoFcZtZ6aU30hny3L7on0BV1z4K8JmUq4+JnTlzBi996Uvx41/3Ejz4m16E8w97EChcPRhiDWivEHvJ5z8KL/n8R+Hc3hyfOLuLH/0/f44P3nUBb/vzu3Hfzhy782GO+yu++qn4a8942CVs7drWtraW5R6awzITVrkU1CbGvkqWLVuGnhyBwZVEPXCM+j+WY9yJveJFGzK5lyK2BVkAdHbv40SvY4DHHW4EfnoWs658a40TXTokt7Dn5OVDAmqAAyEuJVGiLNsrQyjLBSl12a5LqDUuN1ScRHJCjeSB6tuHCDOSzDcFNbG3mj7IcsSmNDdAAhhJTKnKPLfk4pCh3tvYnAdkU0en0iJacpPvVMFtAdQmEqXgoTAPuuVALdVjZ3Pb1+36wSip1t4kJOUp7q32NOMU5gAqJCBtKs65mrUJWhV7SvEdMRBIgOVI09/ovZjSdTrfPK5Fc/00dnbPBTceSgeSBZS5+yVpg6kkgwixYNQbAG8oLVnPHaIlm5AV+/7IngU2Rn6s03yxzRsnPCUgEUqvzxBtTxxuiwXgH0WGVVVRWe6BUowyF5w2FbxoXKIsZ3G5sYhofV9sM0mpy602Zd7dlmdXv4PmSU/nRQhF3SG2yX0EcjsHsQDieNQL6upNxvSEA3yBwds1wri7ZqTAKMu6n7QzqoHNec8BudW4z29DXRWI8yXBURVAe2Gp3xvbbAkH2Xc/ItHGxJK4Em2gWT/5kz+JRz/2sfjP/+k/YffcOTzin3w37p33j/txszWgvQy2N6/xU7/zIXz8vh1M5xF7VY3pPGJaRezNa0yriGlVY28eUTNjMgrYq+pBFblPnN29tDewtqvHFoGHta1mR9WPl+r3krCSUMdSZXXh2fv5osXM4OKFFAg7W5R/O6ealdwFwDktOnkiCQ3I0aJJcTpfvSN5dUNFbe+tA352mnn3jMKcKKRAh7rcoSwbwAU6lGVmc181qYWICTVD4gZriRcspg6UO6+lKQyDu4rKcQLUGzHVb5TnVuytqScTdVMDOTrxUrRkAz8GgFOKIG7FXnKACAFZWW1XOSPEcSqWUqNY+p9WqiEbA+f5FEorA2XjdfPtMm+70ZR9XltL/2OLXRO5atGIdezDHBrfLN5W6KZCGovY1C1CWGj6s7URIh7epIAdhFoObgPbBCodtbmw9EaktOSxUHglxjSjJUdKlPuUSsriWX139jweOvRkv/njN3jQpAYyb2l7rJYAuT3XtPjYYs/GW8bJaNjmQbdxbsXltq6t57tnSat5PWJBMcXpcodWnaew6YRGKL25jzlbTEly7/prlUXHkw7I/c1Pcu+xeoPBJ6reixTjiKKUnL1DVmQ06UXGPJAnd6BsXRXiGb8I4zoIBfsIiGhhGiT39DGx1772tXj729+OW265Bffecw8e9chH4iXP+Gy84nd+93I37VBsDWgvgb39w/fia17TP2Eees0mNkYFJmXApAzYGBU4uVFiUhbYGAVMygKTUUhlTm6UuP7EBNedmOD6E2Ncf2KCG09OLvEdrW1ta+vYUVCPuPHqXTI7zNtQb12vLQLEQ4dyyrGVXVQ+b4/v0L72BRbg22kTNfTVngUrFwJ+6jG3x0w9pin2VWmWuTJvArmeupy8YNSvvmyUZVtge7EVoywbyC05UYfjWJSVWylldFFtuWqTp0s9u6EGit0ipQjiAkoFZJdvtQEUrdRAaHszhDa8Dy056Ftu2iH8XbjzOAEZG6Kcllw+oCrFEyQPpnlL2YNxP48MKOoxDtx4g52AkIEeyQ+L9HmT3sZ5BkeNejP0/mx+UJQ450Jp0wJu0aT/2bPUO0jn+xQ61oaU/mdO+l7zFhuN3IuM5XlAdW61aMlj+Qp5WrJPf0Nz9YoHnfd2r1qfj731r37joINT/YaBWpuF0IyLAd2mvgUg1+YMHMjV+Va06LSU5olRllt5qUMPdbl1Qe1L335q0u4Ilbm9i9OJ9Y/cena1xMMy8zH1Zqba3ClbAxt3U2890rhxvxd4ooC37zS1aotRb+e7RANWMsrNaiFAbprFGI2XLNtjzARsY2kAvYrFSIixZ3fgSrD3td9+zdd8DV7/+tfjla98Jb7wS78E2w97MN5f7OI1f/428MP2Lk8bD9nWgPYS2M6sny786Q85hQef2sTmuMDmKGBzVGBjXGBzpP/GBUZF0H+Esf1dyvvdWY1P3r+He87PMC7JlQ1SVj8rA4FWEYZZ26eOMQ6WFmZtYq0AwMOu+4BVr7IQuJQAelGzaOD4ULqHZQCtAR9fltEFvYADjNnnBhL7Vou1uvhMXCbVhQRGUwyvgZ+kYEyNp8+BqwQKHWU5qcwaePCe3BZlUkFeoq1DxJuCeAF9DKkB9KDpQlqKynDlIGApzKC0ZGlDPdbYWw846ra3zOrkgDSGK9GSM7XiBOIBWa0yXHuVImuKuwwUO+qNM4XcEVKcZctraxfWOFYOzXWTd9zAlIFX5zlNYBfNRgHXMh4GlNLGAZr7sGuEmaX/AeJEAakqFIc5kkeodQ0gefLN05go02jaJpsR3Mw5A8gOKPfRkgXECS253pCGmue22JV6yl1qAevk9aQ2OAX6H0lM7bKt74FrF+tcSOOOZgw6olJaUR/ITefl+I6acSAGsGMfajsz6rJ/RuSqy02VfgOqfY7kWM53x4BWbnP9ne59lLMCYA+IBwX3kOK0cwt1o5jdOVYB5dl9fhgymvQiiyVQj8dL/dZwAcxPxXZqohWMRwzarhCOgBocihqjHtXqK9HuuusunDhxAj/zvrfhjjvejtEtp1FeexLh5BZGo6tjDbgGtJfAnvP4G/DhH/5ynNub45//9z/BhVmNvXmN3VmNT5zdlb/t30wox4dt4zLg5X/50/EFj7seN53ePPT613ZMLTDCRrV/ubUNGjMBcXkK1WqVUwI/F28r/Fit8rt20N/A/c4fOt7XF0NlO4sY7r7NXRImwmWgpnXMFqY9wD8oourz7ialYk11pOdyKaJAjesITtyJWl4/D+YaPG2gFckj5lMLJW9ucpGp567gxutEUJEeoB4x4oQaQOq9ypVSVx0AM3AVZgp6ykakqJMayIFGq2cVWrKlh0n97vvBgx0g0ZITwHIq0CZuE1TN12JYU1k0gCAJPKV6mqEyIamgsZrew5vna02ACzq+RtEl7gFgzbnFjrypt0ydmFCPG7q3gcrWRoKB6xwc2rUhoJxtnmoaoDCnpp0ZLZl0HhktORYNRXd2JiJUQuO1DZowR/L0s8Xb+thbU2s2YOk3I2x43VjboV6Qa/29QFG5D+QCDU3ab4R0xKdyjMZAi7rsDwXdNEnf66b9POJ0PH/kDNKamwIdZeZFNiiUx1naM39OToVuHcPgealM5Wj5+1kEimXDNhkYPdCvzLzU6QGIo/Lgv1c9Vm0C1eZR/PAfgvHZ1ts3vOENeMMv/RLe+6d/ivf84Z/gox9/Bz55++3Y29nBeHsbz/jef4qP03IbEleqrQHtJbRTGyO86q9/5r7l6sgJ5M7riHnFmNVR/q4j5jVjVkWc3Znhzgem+K0P3IU3v//OhXXOqoh//Pp3AwA+9ENftvbYrq2x9VQ4kBEx6AiFIQ4ClLmPorvoOqvkoe0Dg7nlC7PWsX3qH3LjrDJf97sX6rmOF+Hyh3LF6UVgt+8aBAG7iVNJiY6caIdAoibWYwdyfXxuWqQ39+gBUyu1kAEKU1cuIDHINRK4lbKN5yjFmvq0QQBo2uTmNDBlbU7iSTOJvbVUOin9SyELZk5ttXu24XTgZ4CWTG5uJnCbCTSlMXO05NTdtlYbNeeEOSmwFZAWJ2ip+rJ5Yf3mhvWTAqs4YkmdE9vpd/wY5CAR0fLakioYt8GdB9GAeEsLCJiNIwi1fCz9GEbcUklOXldq6rHxt2nXium9CFpyYXO1AKJ6k6ttpZ8bhXpPKcopFVKjVB3Hjeqwp4mn+wcGv/6LQC6ArqKy/e82hpqxcJTl/eJyWw3Rl4H1f1t1OdUGoPFcp6pMyIv8Z9Spu0Nvbh3MnrMD7WKKArT7qsq+Yy3LFZ37mpDRpBeWZaBadqOWVXl+FcFCbxp/fBQRQaPzwGQ/z/VlMtpuv7/uuuvwjS99aeuzN73pTXjVq16FX/u1X8Ozz92P/7V3Hep4hQL0JWwNaK9AKwJhe1Jie9IMDzPjv/z+R/Hzf/BR3PnAFGd3ZpjX7Yn3WQ8/gxMbI2yNCmyNhbIsryXAjA/fs4Mv+bQHr8Hs2hqrCfHcaP9ya1tsJcu/wzZiBEslcTGnh9XA9irgmZcAvwsBtQeHuQ1RuKn/4+HVykV0nK+K3PtccTq/pPXHfrRm790NzbzhsblJKYHdlItV843WE63YFua56nJrsa6vNTriUz7VTEt0KjSAtpU2CAr6rE16TfHKOSEsHR+qCeVO+36rTRUbslhaBcRL05JtjKPz2mr/Jk+k9bd5/AzMqYKuHLaNA4jgk8WCVgJuESRmMIkryc9nWuynlE0GxAChNgcFKoyUMonqpiyX7fFJ3nZNOcSFxs3qxkefN63YU69gaFIUxRGAUZPHNdGSrQ/Ma2sAuU9MCs37Di3ZwLi/d7Mo4JbJvO4GuMV7he2YBI4S6GYBusTWx9KeWHBDY+9xWPpXbx7k2vADbv6nD3KQCySqut2fjXN28b4wSU9dbn+GNC/aB/XF5lnnJtzbAi1A20dv9se4yM4fAJ+tkIS+9rlNlPY14v5CwYw2TXqfsoMU6h6LNVb7cWpda9grfVBbxnN9uYwXpFBiZrzkJS/BT//0T+N7vud78C3/7J+jOnUav/ir/xuz+vAZopfK1oD2CrO9eY3vfsO78dY/vxuPf9BJMANnd+e49a7zmFURN56c4LlPvBHXbI9TftprtsZ4zA3bePQNJy5389d27IyW/xFaW78xgN1wND9szlt0McYFA8vGHgUGlRG0ZBJ6Ctyf/qHdguEjKsrTdwoPgmAaUKscAsbLFVv6nBzseksbB9k9e5Br92UL3+TVRYMqc+qyPze6RSNBVJcJaWGeQKIXism9uZWAN1vgMwSspnmWPJHmNeVmsVtw8iYyM3gkbSr2QuPRU6ppiw4MzX17QVV0NTa0l5as4KKPlszWBqChkrpNB/PckgEK8646MJNUkk1IysecVnJOqf1Tj00UCI3n2GJPzcNk4NAB6agrdQouTjX3FDsQ34yL3m+p966bCx3PGYuQkQBJJGDboiVHAcB2/XQdVWJG2ijQdlh7+mjJaMakFa/KaFIKRZkzYY6kKh1LjRvWjZiKpO+LXUrpawzcBVWsJsvPa/G31lZtk0dWfVRlwJ3XdHOLSuxBLvKyHuTCzbM+yy7e8e76ojaGfWB3gNaczu2hNzcHM28uNQJduTFhEBj3UaGbQ0s8OKn/mkO2CoX6IGb5uo+k7nh0YPnANgBoP/axj+E7v/M78cY3vhF/dOutePW734VvebuK1h5zfdk1oL3C7N4LM/yPd34CAHD3+XvS52e2RnjxMx+Jb3rOY3DN9vhyNW9tV5sVEXS6w41a24rGRxRDy5GAvmT3SxrVBLoQelZQQycs2S6SBcnCBQwJmKaif8eXCkYYBM/9n7diGO2z2L8S66VQ516VtIrPG4dumf3ozkO34r2LBnr7QK51U1+cLnFbfdnuwasu22LZQKLz5iY6rMXnmhBQUlaWhqa0JbbIN6Bti1WiXnpyVdZp4SjpYzQ1UHRtM/rslCQXa8niCdV420hYSEvmQAKcTGBLvaKkfZic+mzABOI5dUATgKMjc/O5ikixoyOTgsZiCklhMwZSfl4ATNmGgXq3WnOU5H4SJdk8OtZWIHl1zbtHEeq11Y0G85oZcM8Aum0ipLQ7RktWujei3EeLKu42ORLldwVasrXDCwm1ABjJ99LArc1l88LWE6Daji0vsKUE8nlj0zxMHnBqwKq1O/tOLgK5UqAf5EKndS/I9V9ut5mR03A7FGZn0TFlesFup8HZ2ySg1lMue8aVu4seVP3HLAVTn0lO58U/IhxW+w1cSKHuFOahZi9nBYSmf8jGOGC7jtLO9n98yy234HWvex3e+ra34Xv/6LfwvnvvArYuacuOzNaA9gqzm89s4v3/+gX4z2/7MH729z6C287uipd2Z45HXb+9BrNrO3y7FNukV7nRQX9wh+oNDOR5U1cxW38u44VngOehu0IcKEvzAEwXl6Vd9HtUFXjFPkAbIPfcc6yPQh3KHpRrzcw/ZrS9v0xd6rSBzJYbx/3pQWZ+U4vMFyf9wFFr0/Gcusyubq++bCCX0I7LdXGtDfgR6iw2BODwjCT+Uj2HCUzVTXykgQUBFEpxLdDQFg3QGpCjqOrJIi4TJ7rAr+R9mCk1WfuQakJ5Ac190WJacqK7RqXIapmW19b1IbEbfxsaD0IMuDBSwUTx1o0DctTh8gJpehok4C/UXEpgMwFbBwzT2KqIFBVyIGRqsx2VZLfhYAC15U3192ZgV72yxVT6pp7I2FRb3NCR56Tx2Hp6JgC1Ly2ZGgGtmPL0osl16zzBNrQGmm1uJa9yqa8FUJ9gUOQm5+3cpZSaI839pIRMzfhzgbRRkSsqW3/tB3JtmFr92/dYd5sJnSr9Jol77vVSmf1pxj4YsD56c/tYVt9wVcOPKZ07fVZg+Prpmi4t136Wwh6W+c2kJt76oi1iOS/zxdhRBOcehg0064u+6Ivw6U95Cn7sNT+O2z//cyTF11ViBwK0RPTtAF4K6br3APjbAG4C8PMArgPwRwD+FjPPiGgC4GcAPB3APQC+lpk/fJDrX622MSrw957zGPy95zwGe/MaT/y+NwEA/s2b3o+f+L+3YmPk4mNHhbzXzzZGBZ580yn85c98yGW+i7Udhh35d6wmxAvrGNoDm1eNPUwjgPKUDqucbtTHZX50CaDJCvypJcTSuQ799GEGMAv9u/Q1QLtl/w9yyBZNBMRR7E/lQwCNYvveyQCwb0jWNKNCG/j1q66WkEnuGur/uHPcv++AXHSpywawPciNWYV5XC4BXDqQq3VQLaAsauqVmICsgRyN77PPHQCkuvEWikIvGuDvYiElRRELuDV3KQNhFkA1a2ogaa+POQSAcoeAC4Q4Ycl7qRsfDGi6EUoeW6oBaJuSkJXvQ39vQEdIytORGwBqwFYqSwCOGyq0Lfp5JEAsjsRz2fIq519Zm0Z2PWbUAUlYy6tYy9hZ23VI5wDmUAEpA3XcAKW+vRfbMCCkvqzHklM2VIQ4R0vIamlacmxUndOmQrB0Pk2/GqW45R03iwA5erLcpAhz1Rsyh6otOSm4XMkpNtjEqkwAzTZVQgZyyR2zTaAFyspmfeJTqV/d17N3T8uGo5VHF27TJKtUx3DfR/RAgcH43j5zquHdk/YBwvsBSkaiq+9nYQ4Uu0sVBUDD3uklzCjvRwE7uezGL1/pRkT4uy99KV7xildgcscnsXv9ddh8xtOvCm2diwa0RPQQAN8K4MnMvEtErwPw1wF8GYBXMvPPE9FrALwEwI/r633M/Fgi+usA/g2Arz3wHVzltjEq8ObveA7+29s/hnO785Tax17P7shnH7zrQjpnVNAa0F4Fdkm+Y+rdWNsBrSZgyR/zVY2nF781zauMLzGoXLDK65TfHyhTEcUj1WdD4LkPSNqhioAqtMrSXjGswJlVwzn4DQJ6/T1TYJezsH1/RifN29eiN+feFO+97wO1nZvsKdMHcodUl/soy0E2XLhUN5ypJac4UgZKoC4ZcdyAW6PTJpqqXj7MLKeq9CFHNAtenxrI3XvciAADsSLQJKMlZzlZw0xAb05LZuJGhVeBPTGSl6FRzBWQRXZvbiHP1n+5R9SNhwlJGdgA0HiINF6WKqAwLyJrGw1Yx3b70pj5aWPt0by2QTcVvHevk/6nUmBPABuNd6Tj68GKAWdta6EU1DhisMW1bkpBE/kqpm1l40W05BTGzQDNCN5bap7SOsvX2/Laeu+l1RedMBdRAspcysYBSk4pUkzt29IDJdGpGoC1x7W5SRvUpix3lIS5/dpnfdTlTh09oDFXX27VmReOWRv6Nkms3gwMN+3rad2AwFWr7X3Wp/TcW26JMmg2GZa2IRC+hCV2xZHY8QSB3/zN34zHPv4J+C8/+7P4uf/6X/Evv/rF+P/++L2Xu1kHtoNSjksAm0Q0h7CwbwfwFwF8vR7/zwD+BWSx/Zf0bwB4PYD/QETEfBSRZ1eXPeaGE/jeL3vS4PFZFfH4f/ZGAMBDzmziX/2lT7tUTVvb0dvRfscIoPGVqmpwjOyIhLVWTqXTqYASBXV/I/Aq4dQB+8cllQtUlgMPAmIRpuoeowLAhpuvhu/6+j+SUqjdZxWB9poVpSw+2ytMEbMRAIhRG+BTwQJ4e2jO9i3rUpgJbGNgANTH7nYWoAPj5es0b1OuumwgV+8/LQRzkJs8mrEpa4JbNdqKyrXUG2bUpL/QBXYxlcbEEgIWFISA0KQGSsCChRpM0scUCXGsdGKtd5CWTEjANo4ZcRITkPHe0wQGo8Xb6nWdp9hTPxPWLLTXYzYM1ADO5LVNn2ubKwX4JRDHSGlYUuwnu9Q/ftrY1NRjSUjKAL4DgIn66zy5KSw7CrjlEi1PVov2qudbOhmJibT+QS8t2UBiuq6+JlVsas5PnmY0xparNnDD4Nd/iU7sxy0blLSRMFNnp4FcAljpqvWmsAEawKxUbkdZTowDlzbIgHm09EwOqA+B3KH3ueWqy9ltdYEp9xTvkT0YvKwJwvk25l5g+9w2GHqOLfwJ2wcIr2qLKNS95Q8QdQNc/M/nvnYl49kFy7qiKPBlL/gSvPudf4zxi16ET+zsHozSfYXYRQNaZr6NiH4EwEcB7AL4dQj98SwzW3rljwMwV+FDAHxMz62I6H4IZfJuXy8RfSOAbwSAhz/84RfbvE8Z+5rXvA1v//B96f1tZ3fx3Cc96DK2aG2HZZfiO1Zcd+bKfigfGzuan0wiHA2Vuc9YRT2WXWjUDjwN2SwMC4UMaVURC+DqaQapp7H1GQ0A42JYkMqMmcBV1pB5EOrcnEDZzj5bqpSSAU8FJyR6c1f9mYERGu8uC3hMwLe21b7zUtqro0ju681tgVx3MPccM5o0PsGhHxXsSTlRI8SDq/XGDUbcgFKXFTxoXlqLx5SOQDtGTumepCq4rPT8hpYMUdfkLi2Z7L7YUX1nkBRCI6BWr69d3+jt7Xyw2r/JM9f0S8uzBbS8tglo6dDk6X8SuFVASBEodtRrasB2jAaEAU3KI6D57li7/LUMRBdtleQEWLP2iae0aafRkjvpfwiaExgI1p8KwOoNpQ47WnKYIZ3foiVbdd7bade0Y5GSNzmBRQWQ0QuWGcgyerK1Nbpr2DS1eOWZtVv7u2xUkY1eDSgl2yjLVUNfTsrK+qVq3YMTHYO7vzRPsu/lyoC3T304e99HCx6stwdAD4ETBjD4QGYs8AIDi2KAL8pWiD2NB3S9HVWY62De3mNir371q/E5n/M52N0dktA+XnYQyvE1EI/QoyB6Wr8A4AUHbRAz/ySAnwSAZzzjGcd4qlwa++i9kuzvwac28Gk3n8J3PP8Jl7lFazssuxTfsckjHsp8fq0NdyCzheNRULcVIB1o02HZZpEBsSVPWEZ8mRcoX9aEXvAcAcz6V2R9VRlA6hhBvMNZDK0Hv0QMGmVb2WMJ0mQDnXYd1nZFAs1J4nx9O9RjzaOsPQUrrVkAeQjNXOmAXEYGQC3Qsml/fo/dDsnet/pGvTlG204LZ5IdfQN8fYrKldCEoflWfdqeMFOBKa2zlRpIAUESNqoJltN3JVpyUj1u0r0Ue0GA7WYDYgA0tGQD2+qdI2oAZif9T9595D6waWTAFoCl/5HYWEpDhQiJEYaJH5F4lUcK4nX/JHlhDXgb+PdgRoWkgm4UtPLA2tdHy+a0ZPGe6hi49D9Judh/f7mflixxrD20ZOdZtfokLta1KzTXsHjVDj2ZrJ2y6WPe28YjboAXbVNcm4tN9Skqx1IB0ZhRqTc3xYxrHHHy6iobwc/bHKj3UZd9u4b2A5ehM6dr9IHUBeX7YpQHyw79ltj99LVn3xagS5NeZAvAc7csLYx3XuL0I0O0+4l5XVZbgnhHRPiqb3gR/s37PySbtMfcDrKSfR6ADzHzXQBARL8I4FkAzhBRqR6khwK4TcvfBuBhAD5ORCWA0xDhmrWtaMyM287u4jt/4V2445wkm/rkuT188twe3nv7Ofzu9zz3MrdwbYdkR/4dozlh8xNrQHtQqyeqInvIlsRWLtJLm/LQLvODbgDwUD3CC3LVLrrOwCqBGV0KdU3tuFpfPs/Fl9OkA4AyttuYvKztTQqClDUPWYvmzADPClnUzUMLkHsvXxzHdE3xIDfXIg9ygeTBZaMDG9hNlaLtnTF0NdTfdiuERjnbPvOiUymelZry2hc8ig09We8JLLG3NTee2xTP6ABPkQSc0OTCXJaWHIFiT+qy2F5ArlXEJidrHDfpZYyWnACSjYPRkYvGEzeY/kf/JmrGJS3EPWUY0vfeYws04DJUJMC2ZMQJWkJW6AO22vUGWOOIGzBvQK8v7tfaxwbU7RglejCPuD9/5gq0ZAPWRrdutV+HlAmSNsnux4HonJ5sXmkbu2TpPijFc+ee6VY1hA7INRICAmnqH43JDUC1rYDd6qsE3HrVZvFSty/C2f2k5ro55WNEWft3P7A79H4/69S7YLNxqOqh2N90fL9GDDFuVmxHb8kDUI47seyHaUwIB6RDXy574IEH8NGPfhQ/9apX4pqv/DpM985f7iYd2A6yBPsogM8joi0IHfK5AP4QwFsAfDVEhfVFAP6Hlv+f+v539fj/WcfPrm4fuOMBPP+Vv5Xen5yU+Cuf9RCMy4Dz0woveuYjL1/j1nbYtv6OHQdjYHThiBKsExAPoKLIPhZyPwsN7XCpdo3j/l7pBXlorZ5+66+3l4I9JNLN1FVYzmnSNQHzon215GHiFGuaDhVR43vRUU+mjQp9xlFpzZGExjwn0F4pFFJTiS1YUxUBVObU5QbotkCuxcumAEUPQK1d3Kx2fVd4cAu41EGMQUVlctfSPmATI6oJiEb7ZKAG2ACBCVCZwNRMwEKiJZsnjDBMS2Ykb3CxFxQkolFV1WaZlzHRkkultypY8YtbqqgBGj1e246QlFmukmwLeUdHZqOy+ry2lYCsYmbfSyTvJIcMuLUAFJITHcQN44Gb+2ho0Oim/7Hr1wDX1r9IOUctnjHFXdL+tORYAFBPbhyLUFeYZv3LAKpmX6QTe5vHqtay0YBap56pdefpYNiNj6OW7wtyI0TJdZ6BXN1cMOBu6soGdGnepqZTpaCfXXyuv5jeaxfsovHQ+3unbl90vIoD9OZUxSH8yg/F/qbj+5zfR5Pet/yydoD4TgZEhf3iq1hQ+RW8vOr/OUr28pe/HNdddx1e83M/j6/7+dcvv064gu0gMbS/T0SvB/AOSNf9MYTG+CsAfp6IXq6f/ZSe8lMAfpaI/hzAvRC11rWtYHVkvP3D97Y+e/e/eP5VIbe9tq5diu8Yl8Deg9aiUAc1mtNqieKXrbdWmt9F7gJTDYzOL9+u0bklyxIQy7CvV7qecH/8U2BJpTCQbgfj/i31XkC7wOXQEaTKPRd9lOhIyWuGTGGaERQEcRvME1re7RatOXAjvLaJFiDleRAqb60gF2hTl9VjSWVDWc5BrtXXArnsGmYvfmj7htkw8ZCictoMcHWaerLR4k2pt6CUYzgqIgxTSqAyAbylaclIHs2qrMXDOBNwmNK5+KbVtsHE4CB1pfQ/tfRX25Mp4Nby6rKJbdkinZvvYJovNjXMc+hBTOQEFAEDZQZA5V+p915PkDyhsVQac3S5d7m5lqcjkzVP55rFh3ovW0r/k3l1JaaUWm227+J+tGRivR8ixBGLt73QuHJGym0cKomhTWQC71G2OOLMg2tmQD3NSeqCXMCxYgzMxuVBLoCkhG0K9UZZ9hsNXKKdL3uMhrrsle1ZN1mc6rK/H2jaqV6ack5rLhieNtJLb/bnewC8Dwf2qEDxfoC4U36Fug/UthWB9ip2nJfem5ubePazn41v/eVfxf3TvZXG7kq1A5HkmPn7AXx/9vEHAXxOT9k9AF9zkOt9qttPv/VDePmvvA8A8OVPvQlf+Rk3r8HsVW7r79jxMB7z/oq/F2n1iQOcbPFiSzSNNBZyWU9zMSWEnNKbl9kdSvcg3rNegZRCadY9jzahbLpjhG4qnuYS4h1e+IjsoUQHll/GnoUhW1/20JwTvVkprL6+lA6JkLyvADftYzRxtPOQqMtkgJoV8IxjAvwmkJWrLuephZL4lHq12sJRQC9VueV1gnO5wYFmaujJeeytoyXbRk/ckDpopjTgFLOIBKCCKdt2aMkN2LT+5ZLBEwJqIExDEy8bkVLgBJ2jXEhuWybx2PIoNp5NU3eG0kxJPZBOSIqYk3CTF4JhoKHVeuDkvLYNRVa9gWPpbwNexZ7UxyMRZEopiiCgEWhAot1/GiIFfMTO41q3QR3gwFAPyEtKyiUlz+IiWrJdlyJQRIlx5kLTKxVCPwdB89zqhoNXbeamDSnuFg0gSorDPWrDLZCb7sspSocM5Fp/2LVy1ebs/hJVmtAGuf7LYdcpMrGikKkuO3ZI2shQynzrujZvs4a0Hj+uX3JLYlvuYA6QW+WX0T7osf1+3o5KeAnYF6MvtiNcIh/hLR+5vfrVr8bP/+Iv4jve9W553l0Ftg6eO0b2tIedAQDcdHoD/+5rn4ayuAp0ttd2eY2dd2NtF22r7k6vVLdXZl3VSBanS10H0NyUy9k8W7T1WUssyFuUhXwfeA4zoNztB+EcqEPXqydFr6c30a1d+TiObRoxoZOH1j5PLjD/sZ2b05w9cKyp3S/RpUMyQFAqvTg0lGyL2fUgFwC4DgKkawLNFOzulgKCSosJZKUsM4J6c/PUQhwdaK5s5W6ICB2vUa8xkue0RU+O/p5Jjps3zeJ15wFUE3jMqMfc0JIjNcDWPInzhpZcj7U9Rnc26iZB8uoWhLqUiWSbN0ZLNjDVUiA2oaYJC13WgI7dBxvAoCYW0kCT94SpFzX1sN2+3Yd9RrrJoB7flI6m5HbKoQooHRUbqjiMwIggUEALkPqxYj0m71kVmTMgGV1Z30YDfpVOuyVpyS2PqkuvZHlfPd27hoB4G2cTl/L0au89BhpA2/R7P8g11W1rVzrPYtJN3MyMG5CbznMge5CybNZHXfaFSTbePHuFofHd6vlvXcNEqdxnLTq93meH3pwOpv+a6w0BWgW/w8d6PgeSyNciW0l8iYc2OvvtKMHyQe2KFYXaxx760IfiXbd9AvfvXR0Kx8Aa0B4ru+VOCdq+/f49fPy+XTzy+u3L3KK1HXvrWSSs7SIsX2QekiXa4QHQ8ko/uAuES7pled8Y2rjJg5i3Ojl0EunirXtiqJr0LQAUvOjCPbOOZ4W6NOlYqEiP86jGsVMqHre53i3F6RaocPTm/FfVaM3m0WSIdzeqdwWaBNVoxUpdNtoyFVHy7wKSiZoV5DJEfKpuqy6zgslo9zCKIj5FjFCoB6lw4DYB0qafWq+u/1r3TmjG3841zy0jebjSqr9UUSkD54mWzHI699OSy4o0tytkfkYoYHZgx8CLPsuMlhz2CLSDBoxBvbD6yoGTSjIAUN2l/JKpJNt3w5RNLd62burm1C9Nf/jwZqGH6rUy4AYFmjKnBRiJSrLQkuMo8/wZAFTvYws8KzBLuW1DO/1P67mvmyer0JJ9fHEybRZVJHseFSSWWWm7jMbzbYDbqLmeKpyn7/HhFl4ZOfVZBjgTQPY0dEKjSEsO5NrGlN6Lefb3oyyna2XfkZYg1TT/XApLjmt3TMG/v4gIhzXvW97pvA2xielNn1Xo30gEgKEN7AVrAdukWGTitV7yx2OVdYeN78Wi2iNEnLRgblzJZtIqp5iPZfuHbA1oj5H96JtvSX+/7L+9E49/0Ak86voTeNT12/jCJ9yAjdFVwhtY2yUzirJbvraDmSmlHrpRs0i6aFtlJ7xe5VKLS/bFxrWOD6UjCoy4CfQ1PCIDwupt6VPBJBXg8ceKWZsmXTCBHmjfSyxkAW4eJu+BixOlupbcKAXrsWF6s4t7tUe0xVYakIwkINc8ftwAU1NDRqIqK8gF2qrLFkc7FwEqmhEoBpgiCpcNyA2blXqHFQgaTqldXl6vqJzGUjxtHXqyzX2LPbX7MnBrgB6UNgoW0pLnJMwRpSXLc0o6OpYQ1d6CgYKkTQUJAHBAh3UezUuAKpbnnKMjW+xsqIFyT+JBq00FW5oup50uSL11ppIcOI2ReEgzESlG0x4HFBNd1ue1NYVkatpvnmrSAaa68ZoSy7B6r3JK6aPetFb6HxOTsjjemlreScBtDlhMsFusp5jaSMlb59vr6c0tWrKCW0w9GCVRhTexJ7J+kHExzQCfomjIiwudVnm6oNS/zsjipv1+mN8ICRIrm4gLHuR6sOjblT13OuDAYeoEdnt2+PLNtyQgZWagtwcExpLbIRppc6J7nZSDtxcYU8rPm9ugd7hVAS2PHW2TZMnyMYspXsn0WkeC21bZAL6CbD6f493vfjfe8yfvQTx9BhSuDq/GGtAeI/vxv/l0vO3We/Dhuy/gQ3dfwFv+7C687g8/no5/weOuxzVbY5SBcNf5KU5ulHj5X34Krt0eX8ZWr+2KtgiUF47hE/kKMwG0R9CPxAvjofY1UyRd9lqr/q4tapd5N3rAJtCAmN5Th9pB3Y0DHsifx2DErfZnOU2aolNnVQszQpiJ53d0ob2YjaUCr7HSMQ2cBDSL9Fz9OYuhtdYBEEDZEt7poS5Hkvhc76koOcXPJpBrf5fa4UrgiVVIMb80l1U1z8cCAEecaM5kaYQKce10FJUNPOWbFDm41XtO4NZePFCuSY4boMhpySWjHnGblqwxmaECUKFJRRNIPOpkSASC4VU9mgsGIhAnIr4V9hQk+1hGknEfa57UakvzxhY6vzQWvSXUFBVqGjAr2M15ajYarGvUEd8CabawB7fot6w0cB5D6aYaC6yxxSmVDjlQZoDaM+htfjqwI5slnLz+HrAn760Xk3LnGS3Z6jaxKybInHSe8FRGF/3J2xmBckc3dHRjIk8NBKDlsTUveCdlEbK/3f22QK79nYNcfQaRxbAmoM4dkJvOSQPafYblOXqT5e9zy6nU0d2MFRl6XBJ1npeycdUtyuRzNneODnui87jfHstp0otsEbDurfsAWjF9itOHZZ2Nh2Ni4/EY73//+/Hc5z0PNz7yUbjr6c/E6NrrLnezDmxrQHuM7DMedgaf8bAzYGY8MK1w9sIcH7tvB//49e/GbWd38du33N055wsffyP+2mc/7DK0dm3HwYjN87G2g9hRxdCyLVYutm5aAA47ZUl3wpesdwmgbYvVRfV0T8LgQodidxE52Aa/oE2fcQtsSoxmdjFbeBuV1y1gg6acCXON8221Q0BIHIWWWEwjmMNgU3a2PLSExrvJ0r4OdZkdLdi8RTP15hreNvp3QPIUG2U5lFHqmoj7nasA3ivk/i4I9TkJ3YwZZN7bTFE51qSiWDRMT+4Dt/a5gVYD6gxA6b8LackFA8wpbY/FZSclWYJ4lqFAjCC05BoCbMuocbcQsaURodaNDFPiNRqytb88L5On3uAU+9iOt6WGzRABYmo8trrpkuI7XT/IWMGckg3QYWSCSzYn2rltDQx66m29gbRxFUtHS+7bTLLvAzf3ymlDZHlast2MKTYLIJVNij5acu6dTp5LyytsVWrcexKnIlZacAOWTWAJjFZKKN+XLfptDnKBVlxu856bNkdqQG72bE/jDHQ207wgVcd7Wzdt7Rwb2PRrlRl4zvn7MgsDwNJTnzvHQvd+7Byb/4ssp0kvskUU6k5ZyHOXejzbS5nN06PAnapcfUXaPiD+sY99LH76ta/Fc5/7XPzYX/sa/OQdFabV8c54sQa0V7jtzWt8y8/9MX7v1nsQglCdzu9VqOLwt/P6ExP8wFd9Oh56zSaefNOpS9jatR034wDMTxy/HcYrylg8eoMxSwew5JG66ApW+L0l3Qlfsvy+gJagIk7988vAR+dz8zoNLeBygDw0fW3xmDcqu1Znwaogk0vuCGrV9rZueyyMum/5OMvd9jXH5wTwCl1WqMux0HjdcZaHtkNddsDXgVxAgFyi9xplWXORWM5LLzRFUG/siahlZVEp6YNUcOq+sSzazQOtispURARd1FpO3ERPzsFrt6ubMt6baQDZ6lhAS7Y66pIRo2w2hDkaLx4jxe3GUuaXpAAKArR0sc7qFW/VM23G0FOFiymh2FOP8cQv7FliRJXGanGgjVJvN6+tX5Cn7iL3gYEg71FKwFb6hgPEs2pzmxtvZxwzYtmmJbe8tu46Caz6sfO0ZHdfvbRkfd9OfWT1WG7XBtw2HloXe+vb4TomeW8D0iabeW+jUUd1LGsFr6mtGaW8RZvu8era84uCDMYiAarm3Azs+uY7AbFuHlo3lq0Di2nNeZs77Rl6/vU8PwnumZcfq9HEvedNpIEKfZlVvJULKNS5RQLqE7zgRvcxxpGk1APMK30kVR/cFjgq3vrWt+Lbvu3b8JGPfAT/8Fu+BQ9/9hfhwv94I3DMyZxrQHuF253npviN994xeHxcBjzuxhN47I0n8PgHncTf+NyH48zWMZ+Va7tkxgGoNi93K467MbA9DMAOZD0KmKtYElFadp1hC9hlbJ8fck6LwoFF0sI0FENeBG4vFJMnp6ewV6ZNFfQUyxeO+n/fwi95crJ2MKFRiK7b4MXypFKUsQhVEyeYaLNFQ1nuUJctD23TuHQj5D0qPi7XwF1NQEUNyFWQReNaPbAyb2lSAxs1uCbEcWgUlRlJUTluRmDSgFufX5er0KQ0MjViv1j1ykgJQEGBiVvoe1qy0XZTnKN60GqJl2UV9KKaUnysgSWhJcsGQhxD2pLAIjdiQmWUlD5jqSeOSGIJpwoydA4kFd8A1HN99el/6sZ7mOjIBmxVvMp7bVOXMJKQFDmQmeakeQKjbEb4WFsutD8UuIVZRku2DROtxxSVmza6cWimjwJ6jSEu0AKhyXtrRftihA1kzpDAbaLy+thb4iYFkp/GRVMPIhAiSV1o6ohFz+tINkk8yE3eOQ/Q0bQ1tdneu75IlOUcdPkNh/yQjX3+HLW6/EaTO+Zpzb24bQEo8/flPxtkuVzEb0lH6XmgHavEua4UoRNWiM/NTDbnLvondKHFEuDJUdR8CLYA0L7vfe/DH/3RH+Hrv+EbcNvjH4uXvfmNqLev0PtYwdaA9gq3h1+3hV/+ls/HR+/dwT3np7j7/Az3XJji3gsz+fv8FLed3cWffuIcAOD3PngPfuRrPgMPOrVxmVu+tuNgPp5pbRdvKb3HEdR7EMpxNQKq7bjUYmAVGhgAFDNH1Ryqc5Ha5gKPdlKU7dbY4/nAADCmjqe3T62zN42FeaEyx4BXnG5TmdEARvXupvpLFTuCxvCyqpJWAm6DenZHD2gaGF3pGXU5jpX2WgBxoq42y0M7FJcLpF/3Vgyseq94t5TSpqhsr4EF3AISg8sQReVIwF5AOFs29OSSQVu1gNsyIoyQPLcpNZDvIE9fbTe5+XyIlqz9KgJMnMpQJd7TSvvb5q/RkkMl9EtLhWPiTU36HyTQzAWjLgXQxjGBatZ4arm+gYSkQDyTsYpjAbemCuzjWC2mkIObZ14Z2oFFtv4gJMEnD2zlODvgqHUrsIUDw+WO3vNMvgNx3FyfgSTABPQAHJvHaQ+Ck2iY0ZJb6YNsP8IDUThAaeVd/aLqS6lfUju4Hdds/2zI7HqFKvWmSxqlPMj3jQlNLmGlLNs9G2U5iWPFpt5FlGWzDnXZm22UUNaxOs69z9jejbNuqMawVkCPxZ5xtXYMPHf7qND+IodN2V0W+zKhPX8u5kKz/Yutas2G5/FbP730pS/Fl3zJl+BbX/Yy3P0Lb8BNX/k3cOf5C5e7WQe2NaA9BvbpDzmNT3/I6YVl/t3/vgWv/N8fwG/fcjc+9wffjJd+/qPwT7/8SZIvbW1rW2RXk277ZTJLO3GlWfKSLvMYUM/DsrOh2gSwvU/wly5SO5dijYvq8TpQjSQA1Hde7hledH9eqCt5iDqAtt1EdkCnA4htEZN3kgIJ9b11b9k8barsHCcMbHBDYTYwVBOKqfSL5OMFsEMaoykgV+ImNa5zItTghrLMndRCFBzqKBVwGtXXPLjp3hk0ltVwS1FZY1F5G0IznivCOifAmDdj4/VV4EkqLGSAOtGjffvyfrKGeFpypZ1nc8W85AU3gk3aHqOI14WwdU3gi2pNpUKZqFLQ9hg1XgEzFwI64lg3HoyW7DxlSSlYYy8FOHICTK0csxr7nQBc8vxxAwqdoFIzHmjidHM6sp7bos9qvVRA442lk4PPvWvUUAXNbGArE4BaSEu2ueXS7XQ8voUv1x7jpKZLSLHn6TtXqtKwU43uCE3lHlIFii1F5SB1c8lpg6wdl4v2+Bh13MW69gG5IUGqNAZQsJar/rrx2c+opi6VdegZTqoCnH3Wf512ftyew70/AEkheoH10aQHyw5cZ7DsQe0IlsEED2qPnz3sYQ/DD7785XjKU56Cb/3b34RfvX8NaNd2BRgz48XPfCQ+79HX4h+97l247ewu/t/f+RD+4hNvxDMfe/3lbt7armBLoiJrO5BRzUcHaA+4O76KmMZQ2oY+W+bH3FRQ+yyOAQ5DgWEDH9dZagn1mA31fYeuTeiAzVyd2rztHeVqU5wOzb/WsSy+sN3upv2A6ztqQC6PGUyqzGxeLR8rWjeU5XJXAVfZgLQ41rjcDVX3VQVjlDGBUxAS4GwagpayMu8UbS9TpqhM4xqY1BJDOwtCsdwLoAeKJqVRKamBQEBQWnEMcg2uhdK8NC15FJFoyPbq1ZaJwRvawQrUJb2OzTGdNyYkpCCPywbYxlJBSKBmI8M8miWDx4R6Q0CTbDio8I6JS02h1GW30RCUjuxEmsw7D+9BNBDK7CjHbiMGABljIX8WJHDHzmvaCEmxpenRWL9QyTFR6ba5LrRkufbytGRhEzQ5ZUMGBJvGoyWW5L8P/n68wFcrlCCn47qNAt8PyYvtOk40CPLvHCEayFV2R1IsNwDNSLThkAn/9FGX07EMqFH2h6cyt5raR2tekvFD3CMCNfR7sahep+ycG4fhfOK+HUubPduWBbWrhMLkxt1xOSy7on0BSyg7P/GJT8SZM2fwpI0Sb7wCN+RXtTWgPaZ2flrhx3/zz/H2D92HP/3E/bgwa8/GV/zVp+LzHn38ZbjXdsQWgHpryW3VtQ3bEf1ggulAolDiReLld8NX+FFb5sdcvFvDx7mPQWLAsW8BFWQh7q3e7KdUJ0Vk185iJl67pgEq7JF5gKRt+eKvEY3JF36e3mxxfc0xNIIwHhAY5TMDuemaJkxVNiB3roAuxeROu6rLHBrQwgWjHmssZSkCVAjqhXWe20RTLghcNuAWjEZR2TyiLn9tUHoyjwNiJGBOoCoAMwJPxzpeMV0zlAwu6mFasgP6fox8LC0MzBht1gf4KQ3baMkcSfMUM+KcNF2IehU1BQ0HAs0BBMlFywEpHpCVip0A4kjALSJQ7IVUT1DgWuyS3PNM6qs21Wvr0rkYuJXvNTVzyW2KWLxtmhuui9IHNqXs7wFaMhPA5pGsm42RQj2ZBuyHaMnUaoDNTbsWEmCI9kDQF+uTFjC2ZlmYgDs//W1gUZ97HJp54ZkTSWhK77PlYba+0nMaUSppi8+9nmL2iSUmUq8R1dsfx+0OyKnL6XMdL09h9sfkXPTaIlpz+mwQiKLZgGp93vOA5gUgMvZ4hbNrLLI+mvSg2UbRksUx2r/IoPFwvx/UrlRmFoB9f/N3dnbwwhe+EDfdfDNufPwTwO/72KVp1xHaGtAeU3v7h+/Fj73lVgDAMx9zHT77kdfi8Q86iZvObOCxN57AqY2DPAHWtra1rWRHED8rxq0UMKufvjyYTZ6hZcqzW7AuMKpZUqj0HVtwnf1ic73FgRjaBC7d+w5NWj0+7WtLjJ5Rn31/JNGsHk+HAcmi471t2silXrJAA5QykNJsYDhhKluwqnc1aq7OWnPNQj2QyYMYjSIrYkbEJN5b9eTOT0UBp5aHNnltF6QNmgcBt9YlBPCkbkSiCsjCk4A4D8C0kIX/biGAZxxRFwyMI4KBXB0frkM7NdEQLZnReJdVJKoFvs2NZLRkIHnAQfJ1iCP13M20zwyYkAJIakSVEmD2VGGNZazKGhQJxY64VRMt03nMRpUApXoiNHFRHm4rEEvsrWyKJE9saLzDgANKQBKRas0bOMCs3k2ZT5y8mtB5xwUaim0Ewp7MsyFaMuv5XmjJ05JFcMq1w/YdVKSppW7sxZic99dT+XPva4via7ccmnFO9OIFisp9uXG9CSghlLr5JnXqxpDLN23HWtTl7PvbUl32zw6fYqjPs+vf94VbLHjWMmWPQKVb99oCYLwIkO63gdlLk154wvLlOMsFvKodXR5aPhjYPkrbXXz4/e9/P97znvfg59/6u/jeN/4G6o2ltxeuWFsD2mNqf+HR1+H5T34Qfv29d+Btt96Dt916T+v4X//sh+GH/+pTL1Pr1nZszBaDazu4HRX/6KBgeYXzOY/FWmCd/K19psI3uRGjneM1OycMeZW5b/E3PH/LzDuc06TNQ9X6rADmJ2zl3b62effCnJS62liiN+feEkJKh9TQKNFQl4tmkdxLXbYFsmtQyoNpwC0w4oYUrk8gfa89cLM40DAnFLtCK64nrKq4nFII0WaV3bumDZrUDbg12u9eIev4URTFZY29DWVsqMIQ8IadErRXAPMgMX+FoyWrGFRUYDpMS0ZmCjYM5Oa05AChTDPSxorlTa0LRg00wk9oQENRG5iRGEwQRMTMAVv5O6LeBuoJIcw5qS23wAsRyh0RaopjRrXFDWgFUsofWAwnAVwrbbp0ZVXQKqdPpj8TiEXD3rb9KW6DyxTLqxO1Q0sOtvmBVlsTLdmBWovtbV0PSF5MhZmt2NsOPdndU+/8z+7ZqxOnKTGkqBy4F+R2KMv5Xp7WXWZ03oZJ0RWd66guO6sTI6P9DGuJiflrZ3HHi35eOmB3SESJ3D30HR74rVgqVnQfQHwQo5oOFqp6VFgtYPlURVeYPe1pT8Pdd9+N5z3hcfjcf/0K0DIc5Svc1oD2mNrGqMCP/82n42d+98P4l//rvb3H17a2fY1Y0oOs7UC2tGdzVbuUGw7E+y9aWuWxf3mL78uMgUHVTqBZ/HUumdPimAT8DghI5d7hPjAcetIbMFE3RRAaD1e9EVuLtwTQoTG9nooYHdhNNEp0xXAK9FKXW1Q+5w1qhHzIusLVJyCXC9l4qPUcKOV2dE7osqMLmj5IFWfjBJifDBJXuqGIZMROUdnlxGWJQ0UkYB7AMzRgvmjUkklBLp2Q3YW4V4KmAlhbtOSCQaMFtGS7d//qgQ/QT0ueK7A1GvKYG8Bfq0dywhJnu+e8pkrpxtSl/yEkoC1Al1K8bT0C4oS0HrTozdbWMCOMp6JAXG01Y5TEreq2J5TmlL4rHNAIZdl45irJ+RzxMbAEBZUKbn2cLqFNS64E1A/SkvUcHx/codp6gMPt1xi4VZasPYxOaqAOUPKgnduf9ykqt75nSRyK03UB9/zOQS7su+o+tutbHLUzzXLUgFrfDsfO4PxBlKV+yUMlvDJzbr2019hftjln4MCSlOg+66NJDzdgSZCclz+IHfaGs7EWjqlDIISA5z3vebj//vvxj7/0S/A9v/zmy92kA9sa0B5jK0J31+rrPufheN6TbsQzHnHtZWnT2o6Z6eJzbQezI92lPRDXCgs9mHnZZVUqAWBflRBgMUhe9PnAfpyIHfkPGHGo6/PFBvfQpJl7BUdsgT2UcqgrCiULWCZgvs2Nx9DaoQtmr2DcEt9xi/acusxJgddRl43+moM6drGZGfAzb1UcM6bXK9icN17cYiZAfOPOoOlPQjs/7nYEb9YNPZmUzhoE0LU8txHgCyWMLiiqx0JNDhsVsLkPLXnECOM60ZKZSdSVe2KdO5RkoOl/cgUMfBi4LVU4qxbhLS4Y9QkBWmFKSdDJNiS85xIBIoplKZqSkJiqTo8oCUZZHHlw1yeWNE0gEsXqAoilxtsmumoDVIxy3N3caDZzWgBV51T6Htlcc32WQFUCh7ox0kNLJo05NVoyF41AWhy1KdQt6nE+XjbHs3KM5hlKSif2CsSd51IOiHx9A55Nnw6os5nkNzzIAWzrO/TYIo8kN6mFkunGWZ/YXMxZIgHt1F/AMLWV0QGoKWa7p2xHQMrO6evnpon72qpxqqsk4OhQqle6EJoxP2xbBZRfgfaIRzwCd9x5J77vjW851vdhtga0x9xe/KxH4cuechN+/b134BVvej9+7g8+ip/7g4/icx51LV739/7C5W7e2q50iyTekrUdyEQ85ogqP5DEceON2Nfcona58t4tNHD5Ic+1gZ/BEwcq7ltALOj3/N47NOmsHaZuKhRA7saEtRbI7Ya04u86i1O5VLWJZuVHAigNLFlamA51WRdjHBTkEpKITUt1eQHIzVMKGY1WlJWBuMmoGKAZodylJBxElQgdEQPV+QL1pubGnWgMrgFc77kFknc1xcRGAtcMRhCwOqpbtGQ2KnOiJTPiNCRaclJXBsBVECVctxkg/zxiUzPwzWhSFTEE3HpP9maUZ+FcJlPc0HuaKbDVnLbJa0sSk8yF3lfBqirMzbwrgLqU2No4c0rVJkik87ZQMa84AngkmxZxLDdnc6EB101cNTvQnhSpgRYtmXX803fEgx8PbgGsQku2k1k91+K95SZfrM4B0nmYRsVf28Bt+s/GU/vQz19tUwvk+vrc/XQUlXOxqAGQCzjRN0JiZ3BGHe6LCe6YO79jjMyjSgOhER70yoZHH+jIc2snD3Tf45XRpArLm2w0557jVCtNfJHlNOlF5sZgGTsMUacjwWuEA+03H6kt0a6Xv/zluOmmm/BP/8rX4fW3fvLo23TEtga0V4HdeGoDX/WZD8EDexV+9P/cgp1ZjT/40L1g5nUe2rUttDAHtm5b09MPYkyS+ihOVviFXqHuODmAIEbg5QFtCxisUH6BMQ/UZTlIBsDuoFfZgMlS7eP+NlL2t/OmMgRUJLCetS8Bi4pAzjVs9OZeSmDdKFWzLZwLTkA0jsULipPqodLY4mIq6ruJsuzabpTltoepAatNTC6SImw6nxvRrVx0ikeM+UTvXeOfw0w81cUOYXKvAp1QgEtgdqoAjxhxuwaNYurzVmogvRDP1cM6C4izkGjJRAyy8/poybOxqP5u1SI+VUaEkcTbchWatsK5cbL7BUFiacHtOFsVgTIkxkqTxjwIeNS4YtQAzwWYBz8mFRAjidc2QuJsPaAgSP7eghAnMhfiWGnJKt5FAY3nbC6bFnEGpbaLYnMgBYg2x2KzoZIUg5MaczN3ydIbua+az21rczf1FWE5WnKqX+YFAhDn7c0bLpz31kCg3uvCOFa7JDfXUojbD3KtP6y+DPx08lQz2m3w1zKPOADMtT1Dab1oAOxqZ3VAWNbP/r71Vtr1+KpjW5k5t/z3gQvqZw2Rjk9fVdQVwPJtr/fZvVwmV62vb4hC3S3rch1fjPnxPgI7KgXlA9sSy7rNzU0AwMO2N67c+1jB1oD2GNkd5/bwu7feg3d9/CzufGCK+y7McN/OHGd3Zrj9/j0AwLiQrbpvf97j12B2bfsa1cDogcvdiuNvdJaP5AchFoQ4oYsGtHEssXrLiHWYl2VZRchEtVxY58ACCUBH8CedhGEQbkDYWwSor4MSKMvPzyxf+DmQ16lS4wc73mlGinsLudhVbHIUe++uT8fkAWhUj8v8RExgxBaLxR5pHKwqLmeqy2wLcAO5hLYXVxfjydvjgAlBQLIX0zFF5Qig3iDM1Zts7ZjcKx1VnaAmPdAoAqXG0CZA6TysdRAPqdKSEwijLi2ZqwDeE1oyzpXS3M2YgHCY1OCItkpyPnUygNRRSY5QYOvQVMlgioDSnKkgjfts6MReCTvMJZ44pX0xV6UTAYPGwSav7VhSaoWp5ch1KslKVw0zGZPap/9RIOtBJbGMOxEaWrL+Tdovfk4yo/vdW4WWbOAzNAA7TEnbodWNWUS1EnugeQ7l9ORewGHXQLuc3ftBQO4QZbk3LjcLO+hQl73Zd8w2NXxVWrSTf9WunTWxA3qXZQBpm4eoxejRDLD2cdF/jqTs2ueypM+VZW1pdWA+mEYFo1GnP2STtHiHX++h2D7rkV/5lV/Bd3zHd+B5z3sebnj0YxD/9MOXpFlHaWtAe0xsd1bjc3+wCdreGAU88rptPOTMJj7t5lO4ZmuEh127hb/1eY9YA9m1LW2xBKZnLncrjr+ttDu9Ur0OvFyEFTNgct9yZcW7F5YDzwRUW0A9Xlym3uCUzzE/FkcDgJaWAMLeCmAwo2HHddEGomSAprPAtNXnANgFOm23BWwfrdmDXXnPDX3SgVzAU5eb2FlTQk7qy9aEudCCLRctMRr1ZcoAroHmoOOWYnLbyspU2y0qeHHgiDeBCEZ1AkBNKHfk+uV5wrgCYkngIqDeYMxPBRkbzXlLmtOViiifm4eU9RVK36UAlEJLpiKCTkSJV7V4270AOl+IaNWGpg0qo3gxDX8ZLTkfOz/GpONrgNraA2i8LQnoHXNDobbzGKhKAcTFnvZ9BRQaZyteMFVIDlpPioVmFRyT+pLHdoYmttpAq6kdz6R+HjHiJLbArwlJGeWzRUsuGq8tQ71J3AaTCTCuSkuWSar1y/kMJCAZZiq4luLAkdgDcSTgp6kHYA9ErU05pdiDXCuzDMgFWsJPfblie0EuMOxp7QPhLUGqZsL1qi+b9aSk8ZsH6f0qvy+rAGB/2sDvTKhoEAibdWjSi8q6ubBU+eLi7sesHqBrH9iYu78xV4rdP3zo7Nmz+Nqv/Vr8xH/8jzj16U/Bd735zZifPALEf4ltDWiPib3/k+da7/fmEe//5AP4wB0PYHtSYlIW+HvPfjTec9v9uPnMJq7bHq+B7dr2twBUV8GD7LKagYCjoOwwNTGVF3U+lhaFIkaiUy5jo/PAuNqnYZT+azcrEKot9ObY5QKotvsXO1yy0Dv9SrJPNdQuS1lZv2AF+inRTM3C3fdd8vb0NCynN3e8Kwp2Ddzbwlp3+OXVxHWyRbhuakjTxPPnva5xA6g3G29uUO9nsaceRFWtbdoCUEXpbxOdSiI/BsjJtdPUbI1Sq/1qz456IyDUAsjCVIBueaFQ5WQRl5qfjOCJem9HcXVa8obcRBwHAZizgHDfSObEZpSyZZSyRkuutM587Pu+EqpWDIZ4Zm2saxKwp8dYPbtUExBZYkhL6VOLsyXdVODaaOAy1yXOmBoPXhCRMxOSqjcBmmsuYU0PZWMJWD0KDkecaK8MKd+iJWv7yYBtEjLj1jxOXlm317MvLTmNWcNMYevU0sAzJXBLldannmeLuzX15AS+AQF8TC2wmzyYy4LcntdEwXUAuANy3T2n6nLKclZ3x9va83cLqFu73U10c1qjtWHWR29u1ZAdWujRXPTIHvipyJWeB9uw5O/UQg9y3/UPspSl/t+Zw7A0f4+ZMTNufshD8E1//+/j077hxZg//BFHgvcvta0B7TGxz3z4NXjTy74Ad56b4oG9Cg/szXFub65xs3+OB1DhB371fan8Mx5xDV7/Tc+8jC1e23EwDrgqEmpfdhuInzywMXdSOKxiJnK03LWQ8mcuVXeNfqqvqy8ptva0q9gDygElzo27+/szjgLqiSsaxFPc5wVmFddpCaaoWE9630d7ts8YXeqzUZ5zmrMttBeBXaC1ALf2eM9Xh7ocBTBwBiwsBtb3QyufbQnMT+kK2kCOChIZTZbMuUBI8bhcSCxkn6Ky3WdLYEqvGTej3LreQ5gSRuclNVC5I/dT7BbgssB8m1GfqJvUPnbefrTkSQ0qNMctAB5F8CaBZwHhQqFgU8bUaMkgKC3ZqSTnoDbzyIEgYlVAErQCQ9L/EBIV2wASj0Q4CiNG1A2KMKMWkOOakkJwVCEuy1HLmr+XC8jmTMngsQLZ3ZBYGqRphopEnxSgXW2I0rKl/0kbJAaiWDcwoGNq7TYBK5tXq9CS04loQhSi97iq57ZkcO5pTBtnXuAKEvdZ6AaB0qZNcdjAdtpgykGuB1N2uSHRKW0Hox/kLkVZTjeUgS0/lzog073Jjw3RmlvXGXjWpo0KV31AN5TCjg1UkwB+70lYbqNzWVRElxAI2rP0KH6fZ/sXuRLtmmuuwQf+7M/wkpe8BK/9D/8ef+NVP4k/vPf85W7WgW0NaI+RPfHBp/DEB3c//60P3IV3fbzhFxABL/2CR13Clq3tuBrFRmVzbRdv7BROD7VepWZdfAVYHqCy5H9dTqgDg4qYvj7xXPe5WtGbLqc5r39OhqrxVlo9o/P98ctCbQytRVa1KQJeqUzBqDfcwlYX6EkFOB9T65w+mrMXump5Z6ihNVtfUHO9zgLcU5eT98g8tQp2a3fMqqqo7fBMisgN4J2fjJKOaCZ9XExlHEMNoJJyoXJpgwhJUTmOm9hbNnEfw6MqPmSxt3HCmG7UUkaFtEYPBIQpMJkR+P5ydVrytBDcP4qgsilHmxG8UQNRvbE1NbTkzQg6MQcVDCqkPXFetEFQtskgnaev5rWNNobU0JJNJRlIeWShXsc40n2RPecxreS3mVRh2WjfMGBrSunUfOersgZFQnEhIMy5idlz7S135E2csMRfKy3Zcjazj82tASgtGk4Ve2Vasr138y9Rju1g7H73WyJksLntN74E+IMIsWy8yqzUeIvRTKG9HoB6kAv0xs0uA3KBfspyqsbmgvWVt9x77O89U19uDmTX6Hum9rTDX7PztKSeBsC+nwOgdhHI7KFFd05nDFQ8UPZSihCF/m69qi1X6O+xnZ0dfOd3fieuf9Lj8fbfe8fRt+mIbQ1oj7H9yW3349W/+ed4z233tz7/wMu/FKPiGPIg1nbpbQ1oD8fCgh30g5iPb7wI8567pa61QlzTMiuEhbkNh5QrGS3BpPY5XRGOIfCbPFvuGqMLwPj+fIUKidtUqzeAeqKCWpvc6nsRzWKNa+3W06EeAw2t2ajMcItiD3LRc34fyIVsPCT1T/MK1pzye3rKso+/ZnJeMGJUJ7Q9CjqLKaHcQQJ6nBa5AjSE7sopFjcq7bXjuU3iOJwosdNRDbDSkc8P0JJPOVpy6WjJTCnmFPMAnkEA2IglhrZQynEhky1aDG1N4PvH4IJBW5L+JyQvMIkn2BbXvt9zr63GMoMZLZXkSA0dOehYswFJoN4WlBRm1MRP63eiVDpyHJF6Vn3MtM6DgjU/LlDXQJiGFBaQvLA6R8JMNjQSLbkw9g03IRHadmKAMqXrlWjJfiMAzfi3+wxtD6ibl4mebJtG3FyHNMSimLsyAUAgRO3nFnsgtLeWWorKQAM+XTuS9QDspiIPct3HfV7ddLAntZDZIi9v33JtP+A7VG7oM2trHwB2bekzy9u7yHKa9MKyhIUU6k6zDoJG+xSnD8uOMUpmZsznc7zxjW/Eox/91Eu7wXBEtga0x9j+/Ztvwa+/947WZ895/A2IQ6ky1ra2zGgBeFjb5TdTnb3487HCImMg1cNQ+SXih0Qds79OLtG/SGIgDv24ZhRmgr7vKZ88ve7yfR7jPEY5zIHx/QBlAjhMEisaSwW9m84fFZAUovOcxC1as4pdNYviBiWkuLecutxHWS6ko7hsAHOtAMQ2CiT9DycA1YDcZhOrSe0j91BtMqpNJHBLGn8baoB1gyClC/LiUiOncKq3FDRfqW2QcMlAISC6OrEiLTloah9AQB5D4lynQWNUZcFNpazWQxmBEoizAlwrbf/sSADbVi1guWCEspb0P+YFtnlk45V7bRVkAmjK1iR0ZKN5kqb6ASSvbYR4TzdY8g5PKc3blNd2SqKQPNLvVE2NkBQ1eW7rska02FTbhDAvsIFPoyWTCoTpuMYRGgq7n28GcDNaMrt7ZRgYoha4BRRApjmJNnj1wNd/FTN6MtyffamBKAKogXKm7IEEwl38d6LcNyC3RVn2cbk5yO3zrJpXbwFg7ALetnfXW1I3XgXstipodVXn2LL1LQR3i4DwPraS2i9h+Q1gA/wXu19sc+KI7ErVhNpPxGtvbw9veMMb8BM/8RP45dAftnPcbA1oj7H9+6/7THznL7wLv/zu29Nn//cDd+E5r/hN/Ke/89l44oNPXcbWre04mAnwrO1g5tNpHKrxiguFzMLA4qrXbJGx5G2w5mlcWCZQ72rIp6npPTagSskFpwVvsiEPcN533P9ZHjecAKAX2FELMwEg5Q4yz6fQm7kQWnN0cb6xZM0nipTqqBWXSsMg19ONpTJqzgFaYMHiOy0PKFI+WWro33MFU3NuUbuNxh21f1PaIHeD5Q6h3EWTg5UEBHEAgp6TgEVAOzUQFIAxEugfoiUXe+Jt5HMl6onQkrlkYFNiaAEWcaVRBEYQMDoX9MEzQaI8iiI8NZJYWq5J0v8wgc4XoFgibtagiVCdi3EUOrMCW7bYWa+2nYPboP0b3EEV2zJvPY+bWFyaE3jE4mW3OFsTBbM+rcSzGnWzh0sojVk3RZzXk0dy/TgKCRjTvJm3aW4DGM8FCNabjHpiuWFtIwWDtGSbpx1acgKGDUhL4C/z3PZ6FnN6cgsEk005B2YYHWoxy/0GbjZN+hSVk0IuCSWbGAl8s/dAW73W7gUe1RZ12Rs3H+b3zGEB2HX3nd5n118Y4tH3+ZC3dWjVv+g3og+EH8T65sQCO3BqHLr41HeL68WxFIUCJAftK1/5SnzXd30XvvBf/khHl+E42hrQHmPbGBX4D1//WXjV10bcdX6KT5zdw5998gF87y+9By941W/jn335k/DSL3j05W7m2q5gsxQKazuglQCOiBlxELpVik1b4tc8gb0lr7eU+vKCnfjBfLekQLjvHKN+2nu/YO3UoymDciCC9nuK3F5MRvcv6zvacB6j7Byjgo7PAVRnfpugYFeVnWv1mIlqMzdAxYGh5NXKKcsGcm3xnINc7100kAvIRsCEJRZ3RgJ86kZ0ykRhwp5dTjYjrH/rTfGuUq2pgirxrIYZwDVanlsu1Htr42Pt0JjRUDvABCymJe8U4AKYnQ7SZ1u1iEfp/VLJoi7GJACFobTkAIxYxKSCUI4BII4LcE2gaQBdKMATRr0hYNlUkmOQergOmqO2Pe/aHnNu1JHt+nXmkgwiVIWaQFUQr/YmAyxeW1N9pUrmnHhYCbGCUG1HjZc2eZsM2AYF45ofN0wDipn2s9usIQDlBUJ5gVBPZJMl5SS2DY9lacl2/3bfNie959b1leFcO9ARSPLd1ZMaKAe5IBNTU0BqNF9GR1HZYkZNdKqJyXXzz7XFRKx643LNFoHdbOhb92n3n4Pddiu6PyUDIFmOdSm1C8HvxQBT21zZz1YBqau046A/rSsC6FXsis1Du0Q++Ze97GX46Z/+aXzeOOID8/3LX+m2BrRXgZVFwOaowBvfczve/8kH0uc3nJwsOGtta1vbYVnL43bYdS+ZdqfPiKFP+SV+zVe8hSGqr7ewIPH8YAztAssp2F5kpq9sTqHu0KTJPIktf1FamMvCsDlmFOZcvdkomylGzY1ZWmRHieFFBOgeORbHotocS01VZMrMjrrcAN0BkAtuXzMD2624XAJQAFFjK9NCuXb04llzGoC0cy/xi40acl0gefvKBwjFHJLWB9LHpKrABh7qCRKI5UIuHzxgAhbSkif3yMBVJwj1RiGpijZr8daSjCEZQLFxrwJ4pwSHRlE5jGrx7I5J6LvTAuFcqV5jjcUdR4SSwSokxXUAW5qR3GNrIE49mMlrawDXxiPqBsFEQDsq2VTgsXjuYo3E9Ch0DMwTDhBYNx6sj6FsClaBLOvDuqwRN0V5udiT+VDMqBUnXEwlf67Nf4u3jeMm3nYRLTnFVrsYfw7cEpLqCELZfzoH04c5WOsAQm61oTVh7K21pUdR2W9OkXlz9V8sZUyiecLd902Hy39N0rXz+Nx0Tbunvueimy+dDbgBANs6PW+HKzwEgPvqSJ7ubjXDIHPong5gK3k2D/Lb6ubYYRsdYd2Xwu68807cdttt+IwnPA647V2XuzkHtjWgvUrsbbfeg//3dz6U3v/SP3gmPvPh11zGFq3tOFiogPF9R4TEPoVMdv+PoF6NzbzYH/QUU7bk+as4mSn0uSHaFpmHL53ReZtGdGnA6ZqZyJRhmSHLPb2JJk2+THaOj8dz1OdWX2YLGe/dTh5cd5+hFkBRWXyr0ZmrJn3R5D4tPg4pHZGIU3FKP5Qoy30g1zx3eWqh6NprQYUpptf6QKnckREnlBSV5b44jRU5WhoHFZcCMD/NmJE8T8JM8rEWU7mmAR5ydNo4QuMddF49A0xGy0605Fo8i2Eur+P7CdVGQLVVSHyqxdsWEkNLWWoaMMA7pfTTOKZyoYwCsDcBngfQjgw8z6M4WSc1wiiK57aUzSWe90imWrcYYDP0oYJWqA1QGlKC5mtlVXGG5osFOHLythZTmSeyyUApn20rrlDrTXNV5weXTT1xL6R0TcH1MaDvK91cIFZRNMuJLDea05KTeBNR23vrv1sOgSVwq2PdArf5A8I/F3yZAZBrl+qAXDunh7Kc6NUz+Y4EX1bzMqd+zkX1eqjL6Zo5hbl9WnNP+4HDnn4ZfMwNgKq+56J+K4af8/sA4UXWR5NeWHYVMHhQ0HhESxzum79Xii3RZ3/0R3+E+XyO28rt5TzwV7hdBbfwqW3MjA/dfQH3nG8iwItA+IyHnrl8jVrb8THWhefaDma07+/9xdcb6ICAdrmT2YQhltw5j6UDDPu0ofshFnoK4oCQVPKAuLJDqYH6KNQdmjShS4lOSq89gFgBbVTQ6y+W6M093pIk1GSAoHKg1qieChgSdfl+IFSmPCtiVNUWwCVQbak3d8TtFEMe4RcQQSq/GGWWvqrcfWUeXFMfNUVl8zAWU0KYc8uTU+xJPXHUKORWW0Jjrjbl3ky0KFQA5kAIAswSLTnzjLGCtBYtmRjVKWlP2BWl32KPsHEPIZaE6oKq+k4UyG1G0LhO6X9SXCwDmAVwFDoyq5IymQdXc9biQingvSoRAwMjRtiomnIA4jw04NTNp64xYPM5pSFCMwaBZay8gnIl41eVAsSKXdkkoAoonKdYNrx0vppL0dGSWanYtab/ibOGLl5MqQ0KFRiXF9DQklXlO6clJ1qugU+W65MHkM4TaR7zvthb10sw77bh2HSAewCaAxMG1HppvT2UZb/506IWqwecQAj2u+gp1kCXuuzaY/lz+8BEJ8VQ62A2dVYAh3bt/P1CALzg80VAeJGtFHHTN54LLDEFLsbc8+rQbRVQfqltiZ/9pz71qdjb28N0OlurHK/t8trOrMIX/z+/hdvO7gIANkYBT3jQSfz95zwGYSAGbW1r82aeoLUdzCRtytHUfalUqCXOcUnwmxaui8vHUT/oTbHbPeCZTS2277o9ngIqMLia6qzzMpp0iyqcGj08lra5EDLVzURvJgGcrQWwCdT4diiV2QSfEi3Zt8cJU4WqAbmmvgyo6vJYgGG1xZoCh1Oe0VbMsXpmObDIxLJbKFrspAe31oGqqFwXLHmKVUkZkVDMlKLqcuCaJzuOZIzrrSgbZ7uEQgFVMUUPLVlAlMTs9tCS1VMWNyPiFlBvEaqZxPCOzks/cRCPYXUiCC15K0rsrKkkMymNmESZeFfSBvFIxKGoUHB7UgLK4m4pSsVTAu+NJb3OpgDlMIricJ0P0JH93zb4lteWISrN0H6v0agkQ78zUWjD4jUX4Brm1GzKKMAsdqUPRWlax1JVjpPwWmDtU5lvsSLEMQGW1mlFWnICP5Y2yuarzmNAPbeaP9azHKwf2L4HeoAMxdo8sj5z3tmFINcX8Pgn0fMzkOv/1I2gFmXZNp8yJkkfdTnVlakut5pr6tHtyw/TmvNH2gDg6GzyLSjbnDDw+cUA4VXLXETZVdT3D3qtVczYNlekLbFu+OIv/mL803/2fbj1gXNdscVjaGtAe0xtVkX85R97K247u4u/8pkPwT/4osfgUdefQLEGsmtb0Y6CKvupZlwe4QbnASpuYseWLF8tV3bZp0yYoR/0KiDu9d6SxbZ1D8WyrXLsF4p9luPcXpr0OKNF2wLWRHX8+XXzr3Mtffb25WO0e7VURVG9aDmFuY+6nBS0GaAtWUwnZdy5KC6X54HNu+Q69VgFqLbFc1qPlbZuwDpwkzc1V1aOAk5bq24Pcq3dI+nchhprQMbugVBWfuNDAFm9FYWS7GnJdinCMC3Z+h4QD6p6w+ptRr0JVFuiGFxM9dpKS56dIsxrzfO6oel/zBUYSOZHTcAsOA8bizpyYITNCthSb+y0kO/i/SNJpbNVgxQIh0kUOnKV0ZEpe/UgbaRfbFNUZjQqyZp/lycKcCu5v7rklLYnVNRsvrB818KsoSW3vbaS/gcBQnUOQG0qyUpLX4WWLBtVunEx5gRk89Q4lrrJ7jmnJzd0f6ee3JMaKJU6LJC7DGXZvMsGytOB4fQ7LdXl7PklGzXUxJCnk+R50LLAyHHS0HM53+RbGNfJnWa1jh3oR4ywNLvHLrdSwQOA0qMShGIcAtg+KtsH0N511134xCc+gSd9+Vfge9/05qsCDV4Ft/CpZR+9ZwfP/v+9Jb3/1uc+Dv/oix9/GVu0tmNtPT+8a7sI61ncHFrVBxgfLrBabMwKv81DwK5VJo8nNXML8e5JjTBRx1SUqFVVgV7PslGofXl2dMxWWX+6o0PmuflaQjN1exFp3t9BWjMhxfAW+lnyRAa9jx7qcpNGqPEaBaUsw21YJG/uXD7buFuov7EgiPdTUwqNgfnp2AbU6qGCV4zOFZVjcz/J46b9Y9TYUEm/UGRJIeM8GEVkybc6AqrtKABtQ+pdhpacxtK+a+rZ5AARViJG3NL+2RWlX6oIG7cXcs+ngqgpb9aar1bT/wQWkBdJvLZVAFdBAOA4IpTyDyMFrTNRPqadAlSXiNs1aKsS766KSMV50e2z0IJfzRwxr60XkLK55RSrueTG+1oKvRoR4Jl6WlUh2WjJKY1SkHRBIJI2EKliMiuuk7Hr0JLn6rX1wE9pycWefMa68cBBvLegmOaL0HepuVcDmwZa9f481bw3NZACtkGQa/8tALnw9Zn5eWz/95V3lGW4j1rU5daB5nuaLqWAn9KF2+3Iheo6Hl4yYI2OJQVxdy8LdQV6wHu69AJRqH1/hg4KiBfZQdYpPXuYh2ZXKJZdxn7sx34Mp06fxu98/ONXjVNjDWiPmRVZPNxH7rlwmVqytqvCqLtoX9tF2BF24UGAciuH6TLlV7iPlcFyfq0BQLvQq8xIOVPN8vepKKEFdPto0gJ627vsBqT6qM8t0ZeYgV1tX35fFBua6P+/vXePtyWrykO/MavWY+99zulzupumG+gGuyFwBQEFFROfmCigCfKLSTQxGo0gRjTJzRXRRG4igYhGo1yDvwjiIy8kelEvEREIjxZ52CJgR7t5tDT0+3VOn3P2PnutVTXH/WOMMeesWlW119r77LP32l3f73fO3ntV1az5qlrzm+MbY9Tl45wQ9MxFkhuky2mAn+Q6b5LlVO6pvsRmvS2UWDizKhfA+CGRnQ7OWxohkwbLT2TmkxuJboio7ClYiiPh0mPqN+ktfZUGlRKixaFfiBEstCZLZqeyZADZlvjqUlmTJbuU2CZWWyMOpVlttaoqS842HVwhsuTxfWKFnZ5wEmhr3YvVNo2QbP62MyfPzSSDn2QScGpUgijxoR06kahOHfj0EDyQ1EBEDDeUc7hwMZWQ1rHVamvycBaCGWTgLONiFjAhtjoWDhKxmllkzz7KksMGCEHy8AKSYziT+WLW4BBgrEmWbGPYIkumkpAVUi83g2ycDK0sJXzJZl94ftTajjR/t5HaJPdt+mBZN0Wf18QaXCO6dZJbQRvJrZ0fDtVlHowq2W1A8COu1Cd5d9TuO0eAa24Q3GH9DBsX6V5J3lI1698Wq+Kcpdgu4/lumK9IS0yExnOx1HfmniysS95raayoQeD666/HaDjE506fOeiqXDT0hHaF4D3jY587U/nsbZ+4Gz/zd56BPFsmBnqPHgJG+5dYj8VQsQbs6w2WxyJBm+LJWLgNwfK24yKnfTHStkjjDMCwu44Vn7Y2mXRCooD2buRJ9WiIcOwArkmfS402DIdgnQzX2SJbfT/TA14zqAU5cUmBcDSRXBDAU72P5YN1ulAFVDocF/9xUczV1EK+eq9Cf8+3pC7DM9I/5dCBc2C2AUxPefUr5SrhIYivKaAdhESejCp5yCBpfpiF9zPgJk7JNQcZdUWW7Kqy5JTYyjgL+XcDlWwrEVfX2MqGgcmSy7FHuSakON8kuEKkyOQJxUZM/8PrKkd2Sm4TQmqWU97MJUi0kmCXS194DzCc9PvpoVi+NzSAVO7hCPAqK+Z0gymxvsbBt37UPs+0cSVFP1sSQmIBn0KQKe0DkyWTRpw29QAl/eJzivNX59dSsmQluKYKkI0maYjT58mPOPjQ+zxtoIzTXERgmydJaqBAbM23mOLnjSQXmIuoXLlzF8nVnxXLcH189O8KVa2T4lCfFrLbcP+6hYxqxXYpgEQmXi2wNfouQfx8G44FtUjjsXmSPocGmXQbliKojIpv87LolGDvFR3fb4cdN954I657/OPxVx51Jf7snnsPujoXBT2hXRG8/r2fxk/9/q0A5Pvn5d/4FPyNL7wK112+0ZPZHrsGcbuFq8cSaFtAXARcMjlQA1nsPHURstx2ihLiNiLaltInyOpSa0RXuu1aGU0y6bpE2M0QFr7VdB0xAI+QyYQEJ5JYboj+HNbGZjG2dChAlBOrtZUK+cwlRDFIljO7ny76LdqqWe5IgkKFmzJE/mvyZP3nBxQJib4DqACGZ4HRmRhR2edAuS5pSvzIi+9sQrjMn5ksLY1JZo0YAeGnX/Ni3JtJ+p05WbIHspKDLHl2LMqSqQTyLbG0cgk4Ml9R8Y8thwikv0rw1WdxwJidYrnHlhP/3QuEwTmgHGUo1p0EsDpRiDVWc7uSklYhokpKL8ggSPofyVlL41KssTORI7uHpWP8egkM5Dw38GJ8LWVicaETzDYMwoSoQ/uSEAksAMtDa9ezV/KrsmTLaUye4FTSbdb8zAOcBORiqsmSNXUNLFqyWo1Nllyq9dhNITlzzac3IYxuSoHc2jPjhyKN9SMGD0SezGGeItafY10JSRn6a3i+qE5y0RhRufJ3tWerSJrQSHLrF9bf+5Qerl3U9n5tIGtzH6Vtbjh54QBSDHnmmo82XwQgRn5vP2fON7gDkSAveH7GbfsDO1+LfSSdeyTbB4U77rgDb33rW/H/vetd+O73vi/ZcFptHJFmHH2899b7w+/XXb6OGz91P26+62GcWh/g1PoQz3r8KXztk686wBr2WEkQjkT+sQPHfu3U6gJkT1ji+3Yu5+Jey+3aHXfceqiTCNesH3W5XqWK9TVlg0za1wlxkO/ORztOLb5z/aQRdmWxlhxMyK5JbGGpdrQt0iYxy9hi2uoQogo3bD4FyTIBlhM0TS0U8rmmkWm9EFVK72FW3EIISrTexg6cnMwwu4wjMVGiCFKZsnVKW2ogrScPWCx/NVly8BXmmix5CGAg1nFiSSmTTQDW+oKU6FrAHd1UsFQzbmb9IvUoj0mO2XKNQDOxBI/OEHwGlFsDcM6YnfDgoQcGQmpJgzQJQVbWM3Ni3R96QHPbUubBTPBDkSzThQx0PoMfe5RDDyixBRiUyWKYC6dyZK4SpPRnmHQcZchqJQ/9bFLSIPWV9nEmwbMAwG27sIFjFj+yiMglhcBlPhduG2TJRqZUlmwm8XIA+LEG5NpG4kNO8fVg/JuTiMwzeV58jqA2sDlqz1iTBTc8G2aRTDa40nRB9lnoF9SITfrcNaDyMVX/pvSk+oZZ+nf9IpovK5zYQJgXIb6th+qBrNIqtfnPdryr7d3Qhblo8R3oklA3nWvRo3cFndP78vXcEZDwMGMymaAoCrzyZ38G2095Mtza2kFX6aKgX8quCH7pHz4L7/qL+/DHf/kQHtyc4PTWDH9x11mc3pri9JasctaHGbamcQX2xKuO4bde+ldx2foRiMfdY3/Amo+wx57g82rwoYuGJlniMugilDWkEXYvGtoiGUPJZVM90FGH0B6ufNR1bnWRSVXpXsPCkZMF0JyEzleJYKWcsnltw4SY/sQsrLlF81U5ZiIfnpMuM8eFvJI+V0aLa5tk2VILBb/cECRIrbgU25OW5aeUBKKKcuXBJjB+SKyifihBpiaXSxArP/KJHBYxNRAQfSRL7QyzSC4iS/ZimWXHId/q7ARjBiFH+ZYUnfnYdiaIHDlTf1vNp2sRd0P6nyEDY0a5Rig2hPgOzhKICdl2Bs4yzI558e/N1XfW0v8A4m9sxHYzB6ufLQhwA5UsD4Tg4kIGdy4H5wxvxHZUiix5KIGkuNT0P4xmUmufB0udEiG1+Aaia77fxOCxbBxQIQS7YiVP5MgAQtAiLgluBvgskSUb4U5lyUAYax5oxGtGSDWUaUqlyjOn7TFZccWCq9Lkco31OZF7h/Q5dZILBEtkUDYE9owoWU4s4Ev55bYgvH7q1llUh64uRd6R7KL62Vw1upxYlyTAjUU01cOOLfjdtowPbddGZL1MS5W0G3S1a6+woGurhhtuuAEf+MAH8I+/93tx+3/+L3jqy34Y06uuOehq7Rk9oV0RnFwf4luf9Th867MeV/n8M/efxxvefxve/Mefr5BZAPj0fedxemvaE9oerSAPZBcOuharj2yHfKy7RVd0y4WuV9K0uLRriXstQJYpsQTNoey4VVsAFOuPRZBYdtIPuX5O7e/UP7guTzZ5Y5DeNtyvTnbTCMiZlmfRjkGUpPShKF3WKKecWJeAWC+vi1tK7unKpM5mXWbEQFjBeiyW3hBMJjNrqxBAN0BYcIYAXV6C/bg1Cqld8i2xlrIjTK4gyYObx/KCZcyst5kQHSopEqQuWbIRrplYZrNt6XDrn3KNUWywENFzSZRkhsiSHcGXQKl9YMHvgj9pkHEz/JqQ/HJNfE8H5xzcBBhNHfi0Q7nOmB130pa1MvrakrbPsciRN3MhecNo1SXnQcc8eIPAkwx0QRrrpw5wAI0l6rL8E9LGM+uQpH/S+RYmBMTaD46+tEwx/Y9ad3moOxczJ77IA0ZpVnvduKjIkguZq62y5EDqkzmajjcDPJRxppKrKYaSDZmUzJEnZFMNPIXor865zCtPkAmZEGQjRZV0QelGlk82VOokN/ms0y+3RqSWIrzhouqQLWaRrf3d9V5us/w2oSNIYGvbFiSTy6h7Fo7vkAbT2i062rxb2Hv90Lps7bAJ8dSnPhU/+LKX4cMf+hDe8PdfhBe//cMo/V46+eDRE9oVxw/814/ilnvOAQC+4MoNPO2xl+EHn/tEPPbkGjZG/fD22Bn7Yll8BGI/JMfm87QXZIsyVCM8i5LfgVrYus7JIPK3xoPtn7f1Jal/YPXDlnKa2tN0bn2xw8liq1YP8/MzC2blGBsxbelDI5uskYeDtVUP2zjXpMsmnzW5dCqtZPWB5axGcoEQLItKqpJcAFxQkP2lkZV9nlhvrRyrp6ZyCZGUS0ju0xJYu08+K8cxPdDsMq+WWkQrmSkZlpElTyWIk5up1bYwCyKrFBGYXCGDQTOqyJLNYij+pJHY2jsv+G2a7FbJ02RYAkwYnCexBG8S8vOZ+PaeEH9bXi9BwxKU+RgdOVeiNnHSfbmQe8qE4NK4AMYAlw7YykQ6W+TCm0YebizBpNy4BHvAF8kETklSE7kNc5aDv6/MUWM7JPUZeKBwVaJnsmRWK/lOsnofK9MAAF7LSURBVGSLAm7PoxF7SuamjTeLyzhx9L3NthFzOpsvfY3gZpOk3tB7mjzZJPy53s/eGYnlj1Mi1EVyYc9Bte4pyU3BViYwJ+EInyfPTx1cJ7tpPZLL527a9k5s+rzt3arPfBta3+Y7hjhG53u7+fxdWJB3i3yZii0G2bg4xNbZBdYNr3zlK/Ga17wG/+kzd2F6BLJd9IxnxfHKb/5C/P03fhjXX7mB//V/fe1BV6fHqoEP8Q7jKiEEzbj4uFQbDmZNXXhRUuxMllvrruSpMcqxUxluB1GNJ6ObAO/g92Wkt3p/Wac0WlJqVpwmWeFc9OekfmZdLgfJsZTY2q5/cr0Qz0hyQRLUKbXmBkIBRFmmtcsky0lQKDeh2j0opF7xMyvPCLqQslJJYVqORSKW3LdCNAfnxHo7fDhGTuacxYI7jNbbIEu2PgOaZclrDDDDz9QKO41k3U21XwrtFyVas+OM2QkN/LSpRc60zwKxReL7q30/jVZbOBZ58wnxPR1skub3dWACZscJfpihPOZB68IAKWMZq0wIMaYOKCj498KJHJkyDzrhAQb8hVwsmRMH3hqJdXdd9L9Oo0r7mYuS4jqprT8PhOhPa362qfXWomaPTKdN7bLkifjC1mXJUB9W87cVcquWW7JjHMeREAJLAYwyj/WiktVHU8Y35L61thn3tPFh9cWFEWsO9YCbj6gcJMu+heTqvCO7YQvJTVH3z63eMSm/dhHZ+OzwjmXUzkn6oencRgLccnLn+72LCO8E2rFZtXstcfayZHnu+kNMPA8Q1157Lf7KFz0dv/KnnzzoqlwU9IR2RfEzf3Ar/p//9enw93c85/EHWJseq4y95DntofCLfefvCnsomJck2stEnlwErYuQRH7bcFX74q0h56IfcDMxJgB1b4uGhebc/E/Xrw1kt7FuyQJ5TkqX3DO1RgWLLgHIqyQ3lS4H2S+iv6ybQsl4DArlcyGl5VD6wyeBYcyaYIt7n7P6HSZ+lEZSy0gWpM1CVPzQCLTIk6UcBJLpUktwAWTbQnQHZ6VDpyccyjFQrDHKDR9lyYQoAXWEkHqoJkvmoWwk+IFG7p0S3FStc1rnXDfnjOj7AWN6XHw2c3WtIM0H6zUnq+XhDVbFpF9Mku3HHpM1+Tzbkjyvg3MEVxImU0IxEzkurQnTJtsNGWv/zxxQqNS4EMJOA7HaujVhiX6aCVEsCXR6KBs7G6VESM49MIBEUjZyGghkMifnLH/SP2H3QkkriPT6ZI4M9UEoaF6WrEHD3CSRJbMQ3EzTKckGCMVUUmn9HCq+t+EZUQuuEBYh1n7bJVJ3hIBlYSLXSW5BwMyEIBT8ei0AG6u6QZ4HX3kOyCfPRvIMyzxJSG6lTxGst3OBiih5phtYJsfuTj+eI1zLkreFT+8gnY0beMkNFqrTMvVe5ntmWbI8h71d3VnsPhW937j55pvxvve9D//qp34a7G496OpcFPSEdkVxx+no+Pj6f/AleMEXrb5Dd49LD3YiD+yxNxjxuOjlJuRnV9fbwnCB67ltUdx2/gLkt1XCvMN1XZLjul9ra1Azmr9/iH6bnlP3G+b4sx7IpWLxpervnZsHwReSq9YXrpLcFHPS5WQs42JfFRYUSW4ltVBNshysVw5BEhsIvBEUtYKlyg0mzWuaqXVPNxbKkfrN5kCZWG6pBPyQYmApNqutBmEaZyjHKks2n1sjAVmLLNmsfRpAq8xYUvoUKmFlSORjJTluJkS1HIscO6T/2SSVTku73BTgnOCzGHjKoiWbv2f8jFFcJn3mLkgAq2ybMLgrQ7kW/Wx5Q6XIOoFCXtvSCWktnJBTYmDo4XIvgaSGAJcEP5LIx3Q+BzHgjxUSRCr3cAMxbrFabEOU5DT9T31+2pyzPMK2YWDEOJ2TJksuSay2Nm+d5Li1DQSzqrpCx3xq95Xy/ABBacEOIESCWx9vsNI9TQ0UNinsXmXyM9lwCISiRiDJUxIbQjdocpY0Tw4SxEqt9BXJckLWOSW5tX6cky4nt2L7mb4L6lLm2jX1mzQS344krxfD3aWziAUI5VL7oEsSwT23b79IZ4fl/LDj+PHjcM7hvny4cMTpw46e0K4gPnTbg9ielbjq+Aj3n5/gG5969UFXqceKojNoT4/FQdjfXG67/NJcNJIkEInSwucvUHZXtbsIcVvgp7aIla0EuB54qi6TblhgSmAj89FsqWODxaJV3kyxrWGRmxDaSvqiYK1CyM1q7UujL2Oo5/s4brbYn496DFSDTwHFBldS/KSRlXlgpEXqUo+obPJkkfFK+eVILWHaXiqFLKTWXz8Qy182lXy3fB4YnnXgTGTJfsAo1zpkyUVitbV5oNa4ItS5JksugcGmktUBwANgelJ6O98k5NtCglEAjkjTyWh7jMRqtGlL/wMx8ok0lwCGQ85iMV67V9L/zI47sXAeKyWlj1pCzd+WvZBaMIBJBr+dSb7aoUg9nBHgoYf3JD65Wxl45EFrJYhYgk4BIFfG9D/2Lk83p9LfbaKZddysg4wWWbI5XVNFlswDHesBwyvRtCBedg83VUm4Q9hAYSO4aRqWELDMNiw4zlsY0UXY/AlzQccknf9NEZWDNbckUYVw/JBzBhMFa71FWrY7N200zUmXU5hSp775FSox/w7jpM0p5lPxtL9s60e6vtOpgxjvBZWNup1wqYngkgR6GexH7IxLgc997nO44oor8PkzDx90VS4aekK7gvh3b78FH//8GXzjUx+Nr3vyVchWMGx4j8OBpaLG9mjFfllogb19YS6TssA7LPWNsBChbbMu20ZKS5/VrbDVg7XFXocVeBG5dd0KY5amTPO6prBgOBagJnxOkL4z0pCWl24a2ecU61epY2J1qgSmSkluYkmqRF0eVsuwwD4xsqweniHJzZr44qpFWPK3xrRBXn1wqUCIVmsbBbY4dkXSL9omP1SConX1A6mDnxGKcZQlZxOVJQOYXpbIko9ZUCkl3QNpnMiRa32ZSFkZNVnyRPPXblNI18MEFMfERzbblqBPxFIXkBCm4G+rPqJm2Q9RklWyW657lMdEjptdILhC8tqCCbMtIUvlhgeva9of/QcNPBUkxIUDT520d+QjAXYE9gCTAxUO9FAmfqNDmRS0lqT/AaIseW6+mSmz4XPdWAGwsyyZOEkVJH3PebKBUaASOCykgAJC9GXxu6WqpdaiJ2vaqTD/TarMCcnVsfBjBKkylQT4+YjKlnoqtDt5J1IpPsJBjaDk2jZALId0+g6dky4jlk2Mam5pVI+n1l0DJf+HU3VPIT2pNQ9r06ZcV+CnlnJ29K3t8EPdb1K3p+JrY36xkTxVK4W3ve1tePGLX4yP3HnHkVkD9oR2xXDLPWfx8c+fwZc+4RT+0z989kFXp8dRwCq+jQ8Z9tM6u7dgGIsRT7vPMvdaJM5GZ3CntvVZIvubO2bWmPRY0WjgaJRQW2TfSh07UhXNWWHTAGq1VE1G5DhHNfqzEr3UQhZ8+OrEbBmSG8ppjrrsNbVQ+NgnJHcW+ywNOuUHQDmO7QipWAggR+J7q/ev+FTOIJJSswJnZs1FJMpDFn5UyLFOWfKYUKzVZMkDmaCcs6xcvFh8AcTI17ZwNVkyQeTSJSRKMkeJusiwhXBOrvSgmUQ1phJBRustQnIOUEJwmNINLAKDpX1jBkog2xI/0MF5gjsLlJsZypFDOWaUx0vAATTwSPPacsZCIEsCb2XSBjtn6EGjElw68cEtCTRVs//MwTsGxh5uGGXJvlSrbSBQhJAruFUaASDXhmld5mXJJJPHchtrsCcqhMyxRh6mGVXIbSBzXCOQSJ4dJ767TMmmFlHybCi5tJ+MIFU2ZUElojIjBJuigpLAa7U0PzXC41SyHidV0kWJdDls2uhpwW+9/i5N3sNce3F2ypoNTfLm9PT6IbccAW4so3ZN15dIeIUt8121hKV4T9+ByXt3v7DPxe8LbrvtNnzz3/ybePM99xyZNWBPaFcE7//k/fgff3IHPviZBwAAP/m3n37ANepxFEDp4qLHrhEi0O4H9rK7TMuT7YUXDy2kMy2nzUK7Exn2XTvGtUBPXZGZ6xJqYgA1SW5WlwrbWDaMafr3HNk12eOsRdashDENVFNvB4B56bIt9tN5YH2vC022z9JyLNen1tUIK6CkwzYHTE6s9c8scrBKlUWOmQSFSixQPuMQbdjKciXAJSS6r5FLQsU/tVxTQpsjWH/BNVnywwCfl5ywfgBMTylpHHohZmalZAr+lvCoBiPKWKMkoxolWX0yxbLMksbIAdOT0mH5FomctRCrrZsBfirk1ohtOZS2WFlB7UJiXQYAP5K65ZuE4VmC3yT48w5+wELUcxZJch7z1iIjsUZ7IatgSETi3Et0ZJs3G5A0Ohdyaf9mBj5flSW7USkks3AybpbOp/5OSTd/bF53yZKNjOg4gHQskJwz0HlmBSYBntyMKs9meHZI22RzNH0WU6slxfuHYFOJFD1GVEaU0DOh1DkSgqGlkmXdWKmnD6q/eyvS5a0a2U2jLqdpUCgeq78zG+MktBHfJtTJLyBRm9sIcMdeRmv+77p/dltVlvmeWjQPLfZGGNs2Ry8KmizxK4Bz587hpptuwj948UuA+x446OpcNPSEdkXwU++4BTffeRZfct1J/Ju/9TTc8KhjB12lHkcBZiXqsXss9l2/e7RJahfBkkR7KVK+A9G2dXDr5W0Sbe44huriLUQbbbM41L7hmqzVrkZ602dirtiEnFaDvrT3XbB8+ySyMyW5ZjNULH916XKjb7NZQlM/5GAm0T87JMtRuonKOa5Q38fkXhJsijQasMhE/QCBwLEGibKFYwhWVUsN5EzGq0GkOEPMeWsS6oES3USWnF8QUplvEeAIk1OEYoOlv5REsVkVNUxxkCVbfxDAI82JOlDirUQ1BBmCEmsSK3Wx7uFmYqlzUyHZmEnd2CnJ1VRGXqMBi/9yEnl6KCS1HBGmFkDqHKk8ORP/4RMefsySrmckA01mhcx0A2HqwNu5RFJWabFJl+nYTAj7JJP8siZLHjD8uuS1pdzDkVht4Unk0uaPnPTRwrJkI8ZAkBGHY7kSXL2XWURBCH7WPo/z2jZebGMqKDDM+m7PCQFsQcksVZUHYrCpBpILBGvuHMkFKumiyBOo4GC9pSDZp2ZC1PD+s7mEWUwtFB8A21SqbmZZkKo5g2X6EkwiM89Vg1HNgNPm32toc/MA5nN827EO63B6W9r5tHCzRUlyWv5usIzbzS5KX0nr7C233ALPjAevPFUNkrji6AntiuDaU+u4+c6zOD8p8Ce3n8adZ7bw7Cdcji+57tRBV63HKoP2OZjRIwT7tksbiMjui9gxF2vlZCz85d8awThFVyTkjs+7LLRtUr6m8+rj0hRhtBzU6mLXNfR7WGybfDct13hArc1zxDOpGxUIFuNsW04wCXSIyEzzxJOa2p0S7Vp7KpJlJRipZcj6xasvZN16G1LzKLk1iWi5pvJLq6tFbNaUOdGX14ih3JtnQmjdDBVZcqkSzrosmUohtVQC4/sJdA9hepkEeOKcUa75CinjnCWYlAdopmzbCI6SqjJnlF7qlU2S8faEbFuInR9KFHgaMQqVIuebatktNZBUCZQlQpogIJk3ag3ljMFDoBgwig3N13vWwc2A0YNSsdkxh2IjE2K7VoZJQqQELGexem/mcWPFMWgkPrRuVALjElyoLLlwcGcGsomwVgK5EtuBF5/cTAqxaMlLyZJT662RWyM9pcwROI7k1h4Ek8iXQkZNnmz3J0/yHKRuBzYXYc8KhfaHgFO2MQRUIypD62IEqk5yjYRnhErwKaaQE9kVXJHHUolm6XL6rLW8R4Pkvf6+qjFBnzM4j5+ZZL+pTJ6TF4v/eONXUsf7MoxRAxaycja8b1uxg4R6vgI7377z2jCnLzKotcsONa688ko8fOYM/vCPbzroqlxU9EvZFcFLv+YGnN2e4XMPbeFNH/jL8PkfveK5eMzJPu9Kj93DtezK9lgMy6a7WQoECda0lyKW+R5fYlGyaDqg1nVxC9lt8nOtlEXVv7s2ZJoCs8yR1JrcL12gzJWdN18DIPoJ1haMlPxSse7az1pdA1FW6XJ6rgQo0kisNT/bsH5vkyzX0ohwcm1qwaWySjLDJbPoWxry4arUVqIcR+srXFT+lhkAFhkmVG5qhLBTljyWe5k1z4itm8r9B5vA6DRQrjlsXy4y3ZCDN8iSIXJdlZlKaGbrKAA5i5V1xCJ1nhDgOUaMnhAyFqLqc2lLORSZ9eCctAMTKdty2hqxTSNaB19flZv7DJiMSsCL366byM/hWUI5cpgdUwvrsQKUaxApEpIepMNqOeQLuYylSZdVlsxDDz+S82grA5UEP/aSeif3yIZxou5alkwQYut0V8Suh9URgVBK+5XgJpbeQGyU+BcbuimglltXVPPGzm3qJJULBJcQApTFjY4WkptshFQky5k0tBwm7QUapcvhmPnrensfJETY6t5Edmt/O7XyVrBVv8hOVp/9ZHzEtaHh5Wzvy1Y/kOYX+kJBDxlzMukuLOvasuuvV7Z34j4xzxUktE94whPw4u/7Pnz0f/wmrv3Wv4e7zp476CpdFPSEdkXwjGtP4pe/60vxgtfdGD5bGxyR0GQ9DhS9hfYiYJnd6SXR5SO6E5baPTbStLtbNRfZsbPfalntLLBGzLADMW5YOO4031PLZdcibs6KnJDdut9uZUFui12tTxfJrdRH/XNhJBe6aK+nGzEfY/Of9TWSq2Q1ILGESVThSG5T8sC5WrPtM69WUy+yYKuX5fcs1zQ1kEWkdUrAcobvkiVn0res/sZ+pNfniJZiDdrjCvFz3bhTmzyUNECTU4TZMQkkxUMvqXKcNJYKsxTG/oDKPgvNs+omTn2KWeSoBSGf6WbCUMZselLaNzhPyLegMuQkOrL2g7WfScdxSoG8wTFml8nxbMsh25Yyxg8Q2BFmWwPpyxOFWG1TOXIuhbIR9akDTyQPLg3FpOlyD+QAD7yQja0M7nwGHjiUEwYyluBUtIMsOSWzdestp58j+kaa5DiZixXfW5L7V+TiZlFn7Z9cNyn0PuYr7WYU5mAawbgSUXmWkFx7t2Xx90ByoXVJg081SJZDcxuky2lfmHVX5Myx7m5GUVqdbCKTtauOHUhvCldUD7pJ+wWtKdEssnPTsZwXWycsKiXqkFC3Fbvr76X99HPt+H47zCAi3PSRj+Dr//pfx8ePHcOdPaHtsd9gZrzjf9+D3/7Tu3DzXQ/jzjMXwAw889qTeO3ffjqecOU6RnlPanvsHpb2o8cecZGJ4Bx2WfiyATGWIc8LzZsmUqnXdvnrdgZAaZABL3r/OZl0Qigr0PGst7Eig6zXw9au9XumJDq1LKUL8hrJtbqGhXgTyQUk6rKS3CDD1EW7WQnNahXmASNGaw4LeIR8qxV5MuJ1rqBQRxu/Yl2OZyHQksiIRcarBFdTA5Vr6vfqqrJkW+CLD6MsxikjcGEkEZrrloXk5kDpzd9X6lSOLNiQ9Of4fskJOzkFbF8l95IUMRotOU31wlBLIgK59WteYgNNSS2ELJGcOZGGa/+WIyG5bkpK7BF8RsVSRhLMKocEslKe45RwmcWsXPMoN+Se2bb0xfCs1G9a5igmTgI+jRMHb2KQtoc1X2+QJTuIfFmDTZHzoOMeOA4JJLUtk4N8JuR7vdTAU7yzLDmd4+kzkj63JktOPw/lULMFlxhs7UtSA5mvq83JQHLtOSqpYh1Nn88YJA2B5NafldSay4QoWU5JrzWxQbqctp/BakmvvsT8KJkb6YaX+u6mLxsL0JaWOydvTo7NS5jRSoBbA+jNSFwKmo92EmpgXibdBUsVtpB1kxCjR+8KHDfnLjZ22PQ8rHjLW96CT3ziE/iXP/dzeNO733VkmOARacbRxF0Pb+Ol/+Wjc59fsTHEr3/wszg2znF8lOOq42NcfdkY11w2xjUn13Bs1A9rj8VAXPUF7LEL7PemwB7K7pTvNp2/xP7YQnloWwj1jmuTtjan5HCBslp9YDvuVSGQ9b6j+K9uoQ3lNkQstWfM5km4B8dr67LKucBUySaABGOq1j345SpZddOahUrTz7CLQXUqBLuM5zVFVPYDswrauEaCW470/MQClSWLYyYlcEQo1lgW94ksWcrlmDNXLbBMCLLkSGzFYlQaIS4pEFmTgJosOdsGNu7IUI4kgrEfKKFVS7T4FGv6n0DYEHy/echCnkqCGwipcFOOaWBYyJUfyIK+WBMyMjgXoz5b202SHSJdq0w0DSRlnxcnGPBAOXagUgJiDc9kmG04lOuZjKPlqh15pOl/kCkB9QAmTqZYLjJfi6bs1gpgHWBPYpENsuRMZMkDD8qF2NokDbJkX+urNnKLcGn83AiuFZumA2Kb5InV1MbJOtLOK0ksoXaJBQhLN5xKqsyJOb/cChmJz0qQLdtzMPcOsEmLKtm1zaE0tVAD5hQmSOqt8OZvnPRjXd4cbltSA/mNmwBz57e9tztI8CLfQY0y6U4s+MVGFktgd1+EppRoG4+9IKRuWjG8/vWvx+WXX44fe/3rUDzxCXBrR8NtsWc+hxhXnxjjpV9zA+46cwFb0wLntgtsTgt85v7z+PgdZ3Buu8CkmN8eetsPfiWe9tjLDqDGPVYNVALDs6v3Qj5sMCvURS9Xo8IuQ0or1+9gCZ3DEmuGRaJHdhJ9RqvFoctC62qvvNZ7NJDOuVMaCHddElhBEl04XV9V+sJhPmIpaovphntUrMeUEFsjtynJ3aVk2U0hFkPLqZpztOBSPK/SJ9ZmW9yHdsToxraoTn0XLZpw8EcN/rcEv9UgS6aaLHmIIEsm6AJdCaDJesshhzQpoV884IZyn2xbcttmFzT9Tw5MrmCx9g45yoEHSpg8KgGBggXOJJeeQ+7cbAKxKM8INBU/RiG2wORyISmD82L1Ig/JlxzSICX+wjYG2kdMUj6TWIplmB04E8vt8ByJJDuX9D/Ty1jqP/IiHwaDMgYcAXkpBHTqZGNAI00j93C5BxGDNK9vRZZ8TiIqlzk3ypJZ5wCXTiXPyfxP534bwQ3BmDh+Xk8NZBenVlKzmg69nGIPjF2jczGQXAAYRRJtaXkqkuXkHVD1Fa1uCIUmNEmX7Rghse7WGu9QlTKH28x/lsqaw2d1eXM4gEju9W+UoipoOtfaXkcIUtcA8rSYJXIZzrnEuXVJ9bLItpe84aKoK35WBL/xG7+B//n238dP/9Rr4X//Xbj+X/w47np49WXHPaE9xMgc4RXPf0rrce8Z1//Y781dsz7sZcg9FgM7YLaxgm/kQwQjHPshPaISyKcAcctiZgdw4he287m6k73guUGmtxuYYabpXrTDIqGBgDbeIl2w2qUL3M/aFK5Lrg9lNhFe7Wef1bowJZnJOeEeKclNyLwRVe9Qs4wm7Up+ChlC7Nsk6mt9nLKJ/qSqZcoPkmiqTZYsimMPIFjaLABNyOUJ+xyRbGrUYlfG3K4h5+0CsmQ3iVZPgsmTSay1QwCOg4yRB4Avoblz5bp8W+65fpd00uQUMDsuFls/UsfLjMVipqyN1HoZSIcSJTDU35aQXVDJtSfk26hEpJ2ekA7MLpCkHbK+J4T0P36I4AttkaEtqi8riS82PHAMcNsSuEoCWAFZQVjbJrBzmJ1glGMfZck6kShjYKzEfeakPWUGP3XSptwHv1yTJfMxAm9noG0H8sLg6rJkSwdEudSTC9Xpe1Q3A2yiM7UTXNI/tB4yt4ykRrIaSW5KdjneK42orH6pQeJLiH65I67U1RXQAFXNJDdFk3Q5NMesu0Z6UT1Wib4cCqz1C6E5pU1bmhsG5pLH5IS2rww/bv485OBteElSGdMZtSEGwmo/J62zWybKMRYstwm2EbdP2Df/3H3Eox/9aHzPP/ou/OAP/BM87WlPw1MffRXuPtMT2h4HgHvPbuO3PnoHTm9OcWp9gNNbUedx2doA1/c5anssCpIFVY89Yp++1KIUdXebDp3Wxjo4pi+5WLB8o3Ofkx5rWWh0WV3nzm0LCtV0eYPcrtNvuLYZkEacnluX6sLXNcnuEpLJJGvYQD6bSC5QCUxlfCDUI81Vm7YhteIWlVtHYp3cy+4XLKll9H2VzY0konJKbstYXiqdDqQhmbfW55zJmFtAKPLNsmR2BD+SKMepLNnKdVOqRFvmmcmTKRCBcpT4EGdyPyO25u87fghYuw+YnXCYnBRJcLnuo49kZpZT9cErzPKGuEgmhh9Lu8RaK6dkEyVTOWt7gO0Nj2xKyDfNSijn+iL2t5tFYsuEIFkmCPH3I4Zfi2SMCsLgnKT/GZ4mABmKdUv/w+CNQrifkVvNYcuFWGxREjDLZG4NvJCuTGTJtFYAawCzklUPkSUXmW5mcUgxRCRpg4LlNrmmMgsJzT/t9/SZMuutfchAJYKyEdKK7j4hh5aaJw06pWWYFddIsB9pHzGScxAly0m1TFZvdapEOa63N/mTMy2+/t6j+dMrsub0sya4uKFUKXNJia3J75venDauXaC6TLoLXtMhLVQxtdDu8nupKeL0xQKFObh6uOOOO3DNNdfAe49b7nlgZduRoie0hxQf/dxp/OoHPotp4XF2e4Zz20X4+dCmrALWBhlOrg/wlKvH2Bjl+JPbT+M7nvP4A655j5XDCu4wHkpc/O/L5SXDjYUsfuoyQaF22o03y3UjwWMA22i0PDNRNQpvekxTo6TolBXXxmROJp1aG5O6BXLYQn6b5NahHk2+tRz7o1JmTcLcJV1OF09NVulwf8sjm5xb98t1HhWCm943De4ERCm9H8W0OEY+whxI2sG2FlerG1ufqk8jbDOD5SeSfjGiyjOxfPoBUK4LufPB4szwjCj39QjBbNgJUXGFnO8HQDlmIZCW/kctvaVGSXYT4NjnAD8kTE5l8ENJHcMDlkV+pmlmNOhSiJIMa4sEq0LJ8GXMmWtBp1wBcMFwTub19DIPybeqx6cxxy47ifJMKgkvh5CgTmaxJYoyRyd1nF5eAgzkmw7ZRGTJg/MibZ4dcyIdPq55aDVtDmn0Y7Ba8jRKsljVG2TJAyXCKkvmqVh6qXDA6Uwk4utFsNw6x2BXBnILn6QbSuf/HJFLfq+/GgiR5Nalyummn42NPTx1kutqkZWBIFkOwYPUz5ybKlKXLif1ragZ0st0vhIgGwm1dtUJ7nyarfaNuxhYawkC3OiM21I+0G4dTtAkk+44W1QVi50qPsW7Xafou6fVZL0HUEGLbxhfapxv/ng2m+GHf/iH8YY3vAFf9dVfjX/37/89fuSDf4xisvoLwZ7QHiIwMz7w6Qfx53c/jNf83i0AgEefGOHaU+t41PERrn/UBk6MBzg+zvHkq4/jhc987AHXuMdRwCpKZg4l9mOHc48kedlN6biIWwBKRrrQFWVZSEyzabUtUJmbAdl2tUAjMXPFqNWrIglcRCadELzG/ksXrXZJiyU1LXPOupssgCuWYyOQJl1OF7zJsbScCoG1tb5ZfhNrrp0fgiiVVYJuKXPqbQPEDy3bpop1vRwJwQ2Se07qXFtdsONEnk/WlZVzK7LkaVWWXKxzsPj7jEGO4HOVI88o+gBqf2YzgislInI1/Y9YXCUaM4FGQLkmf6/dx2AizE4QyiFQbLBYbS1iL0HIKxADSSXjxhmDOfoPm58tKbmNfsxAORZi4bTN2bbIiNP0P26mxHw0L0cGTK4NwDGK4x7F8ShLdjPC6DQBRJhtSZ7e4piXKMIOQmqhaYDAy8mS10SizYUTcusJ7mHpGB4wvGNg5OGGYr0lJaBm6fOF7tYYEQ1Bluxf2BGZxxwhZl3JcvW4SVpTyXJKcsP9OFpzKSG6JlmuWwcJVelyCi/3MMtuuCTZ/Jl7JyYbTZVmNVl5m7okkF+KzU3z0tbLUMn+/LGu3UnaUbbb6B/chazjfvWy90JGmYKbwEUHt3yHHQZsNn/8iU98Am984xvxnve/Dx8jjxe9/+1y4Pilq9p+oSe0hwi33HMO3/HLHw5/D3OHt3zfV+DaU+tw7pA+ND1WHof1fbxyOIT9uPRmxRLnLzJvuqIst0ZUZpGMtgaMSs2WLOSnMciJ12AgXW1yCeFTeCVNbcQUmLeWVNa7i8iajWw2SJgbpct2vvVZzSd3WclyaSlEPOYsuFmBikWoYnXV8mkqx4x4WUqd0G5GNTUQ4mYCO0jAGiPhSbTkLlmyK4XAiZxYiKUfCIG0lEPGb4IsWYkiHOAtmNRI/XQzqbcrLHAThfQ/+SYwfJhRniOUowzFOmN2Qiy2PBBWYkF6yOS7qRw5F8t0Ja/tjGN/l2KBBknwK/H1ZRTHxC94sAmgBLiUQFKlSpQlSnJC/sLmD4U5G2TJBSFbk74dnBNyn21l8AOHcp1RbvhKwKdlZckg+UlrYrX1Q5UYT51YxLYy8JZYb5H7QKKJJHoyKbliJZxc2m6NNs7mq5HOJKpxBQTMk1wZgzAZgcQnF5HktkmWU5Jr1lxDYhFuzB9r1t169FvbcCpqAZY8zb/DGjbNmhQjVu58LVo2+dLNsbl6ywZRI7quC6c0WIk7L2iuYxMafYoXvg/is7kPmPNfPuT42Z/9WfyNb/gGvPGhz+Mdn/3UkWKBR6gpq4/rLl/H8592Nd5z633YnnlMC4+v+en34q88+hje8c++GrTLsOU9enRhFfOoHTq07Z4fMPazTguvXTrO66pfq39tjQg3BfM0zBFJrwQ4qZsrqnV0E4CYg/yz4ruqUtC5fLZAJG6E6uKJYp3rvndNEuZUupwGpiJukG8ndZnzy22RLNeDPIU0SCQE0PqjnjbIAhdV5MnB95biOZoaKEjDra26aLdyEIxwnEiPW2TJSmydWYK3ScjdUBbh5VjJh5IVkyW7qRBElBJACWTBmDiQSEu7Aw9k+tPnQlayCTA4Z2lzCOVIIhjzgOGHPlhlkXHwaY3tSsZhzcOPocGcpKJU6JhOxLrsB+KvXI4Z5Zr01+AshY0ZdgSnqX/gdJ44aEoTxEBSJkt2jPKYEOpyLPl08/MiR84vEPxZB5+L/6jPGf5YCSjR3FGWrDsqnLMQYAKcypIxFqmxn2TAzAmBuyCTjLVevF6CBkpuzVKXlzE1kFlTAwF1VVLS8uxVUH8vVHxKE5ILREtxF8mtl0XcTHYB2QSoqzhIifugToF4XtxT1kgvd0QnBuZlr3UrsJ3bRJQTWKqvOkIk9A6YcmMRdG10NqJJUr0M9mvtTJj3Xz7kePnLX45v+qZvwld9xbOA40crgEpPaA8RNkY5fvE7ngVmxr1nJ7jtgfN47dtvwcfveBhf+up34YlXHcOPPO8pOD7OcWw0wMYow8Yw7623PfaEZXKP9miGBajZn8J3f2mTr2fnucuWvUd0rlGaFl4tVoc2NEmo6wS4LgG0SL2BrCX1yLci2a1YaBN5c6usOd30cMktOdah0aJqVlIg+Ofuyi+Xkvsm1uBUqmwW0EqdbFMg8VUNdcoi1wAgVtmZki/NG+tzTmSRqAaVSlcgjHZZcgYU6/JHNoX4z6okmR3FQFbDGAjKZyIf9jmHYFehDaS+repn6zU3bbGm/WDEdkQoZgg5bQebkoqHM8L2lYRyzPBjTZuTjDsZ+bBxsei3A0YxYMlrO1UJcsniI1sQ8pnWW+fS5HIpYPiwypFLtYoT4JTQSoRn6edgqS4hZM36WfPpBgv0lpDbbEKgc9KHs03xuy1NlpyZVLhBlmxy4ZLAm7m0bVRGWbIGiTJyG/xoVZ5MmxmolNRA3jYEBj5ETg6pgexebPdMCGN4EJL5nU7ktvdC5VnhOD6pZDn1y62TQyPbwDxRSq27GSoPZvitrO1+6kZOvV51H9o5ebPBJ/Wxy2fx+anACG0L2W11D/HY0aWGgBj9eQEsHBvC3jW7XecS798ah7B/ZHmvaBnLZzzjGfjO7/xOfOy9f4T8ec/FYXUB3g16QnsIQUS4+rIxrr5sjN/8/r+K/3HTHfiP7/k0PnTbQ3jR6/+o89qP/NjX46oTLXHZe/SowefA9ORq7TAeRizyhb/bci3wza6gRHuRzW1bsy6KhX1Ru8roOr7gOqGzbbVjjS67tXaExQ/Pl51KZFOrCHGHvNnIbiJvTslqqJerXl7JQ1sff13Ad/rlltXz00AzlkfTrLMW4BXJxkyIsaN1rqQ0SaXKek5dhm3kN1P5YzlKyK0Rr0VkySH9ipxTjgCM5dpMfYGzC1rOhUSWbOlwTEI+ECtqZul/CiGRElmYJI+s5oYtNe0O59rOmViDLeATeWD9bhnI7UcBkysghDZTy92QESSpZvWzVDYOktdWozb7GWnwqMRqG3yVhdgUG4xiA5L+50LsMyYlzzrHTC5vsuQwbzT9DytZnp1gzI5RSIfkSiA/rz7HmxnKocqSj6m/bV2WnLG2lyL5286EhNo8HvpgtSUS0kqaV9ePnBDUmZP6Tx3ovERP9uulkOJcCa5LCDWE6LJtdhg5ZMT0SkE+kMzHLslyLDqZvFwluSmapMvhWP0GDXXRwFSV2w9qD3g9eFY6l+rQTYTK5WM0vxg7SKtEHm4+NCeTbsIO1t+5Mpc5d0+sq2NzY49oSom2CvihH/ohfPlznoPP/d7v4bkveSk++8QnHXSVLgp6QnvIMcgc/v6XX4e/96XX4mOfP42HL0ik4zfceBtuvvNs5dxR7jAa9Oa2HkuAxKrRY4/oWijsAcQapXW3aXuMfCxyMnfs7DeVPavJdxvQ5t8qBbQ3a5lFwjJd0+aX21bmHNm1vxu+OUMe2XpOYvV/BCfBWY24GeGipOyU5Nb6KCW5gbxyPHchkksAm6zXJdcCYvHL4rwJ97SmpPJkI7/2k5P6miQ2qUc2EX9Wn0MskAvLkoX4BdWpBlfiHChMKjzVMkpVg6osuRhLMKngY6zpZghCuG2h7qaykezMz3aoYzIQkksD+Yw8JP2PXVOKv+3gfIZiHZic8lL3kXRakKSqxR8e0d/WrLYjBnOMkCw+vVxJGWOWZyO2lBBzN9V+KQjOSb/4QUJsKeljC1RkAawyIe8liyyZygVlyerTSE4nmCNwViIEU2IAUwc/cXL/XH1u9aezfhmpv64nzWVLoM1cIl1rNF4e6IOTcbg+kNxasClmEpKrfb5j2iA0/J30VyOapMvpn/Woy5VjmLOmSpl1Sy/X6tQgb66UXbX4VtueFIMWUgwATtMXNaHNOpzCx82nnRCCZi260Vp3HVkW+7TEqW9srgquvvpq/M5v/za++Iu/GD/yt1+El3/iVmxOm9IRrBZ6QnsIMS08fvfjd2GYO0xmJc5PCpzfLnB+UuDcpMB/+/DnGq+78eVfh8vWBo3HevRoAy8RbbBHC/apCxlAW27ARdAlI2u6mR8Ci6Y3oLoVoemcli98YvHXatyl552JcOX0Nl/bJmvsslbftP/SNWNT2SZvbthTrFg2GSHyrSsAusCJ32O05lZ2/9tILtfKT35PrcB1klvPVVux4NYCT4VgUwlRD/Jk/boJvq1mtWXA+A0S0sxOx7ZAVZasxCtIdhnATK+xVYqWy04tt2pRYpKIwaE/OMqS822V6GZAucYhijOT9vmQ4VTGGzYegJCn1BeRXPuRWlTVauumQj7zC4DbBoYPA8OHHcoRsH2FRFb1I5agSKTklgnwLJFRA7lU8pKJL3E5YPih1EdS++izwiorVmv47JgP0ZqpFOttNkWUJTsh3xwsz4mM1ccgW2EjZCS7CuVIiHJ+oV2W7Eea1mjgQWPRvAcrqqVXKl2Uwxbqe6sEl4derLwqTw4W3EyOMQM8zdQv2YEmLoyvbDjoLt0gKUfTBVVILhCkyhW/3CAZTohj3Zrb9a7oejeFaL8NZBdJHcLnicW3UlC97JYK2T1TZJwExdq52qFebZuZi5BVgsz1BcCEIF/f+WQ0bxAsiLAxtB8bzvukzNpPeO/xjne8Az/5kz8JAHjMYx+H8x+9eTmf5kOKntAeQvznD92OV73tz+c+H+YOJ8Y5Hn/FOi5bG+AVz3sKrjoxwlUnxjg+yvugUT2WB2vQlB57wiJBM3ZfNncvrrquXfLkSKB3RlMO2Tl07ayvtRwzC1vDMae5R9NzLXfpXP3QUEZqCbUidiK+TWvLlnq3llf35R3GzYa6v262DZBXwkVKppTEmDW3Xre5IFWMCvms908qNU7PJw9AoxxXIirXrK6h7pb2x+TUCal2Mz1P82+yA6hG1IMseVvaWpElW6AoJZlG5MIC0rFYk83ak8BkyZbjlSmSvHKM4DvLA0apcmNiIbCBJOoi3izpIk0WiybnUp/SS7uzRI7sZsCxzxNAhO0rgWJNiK0f+Uhc1aoZJNUml9W+tjQjEiVZSfMUIa8tADDF4FY8VKUNJ7Jk0o0LInj1NfYj1mBSHBW4TbLkITAbqCxZCXWQJRcAZ5ZKyaE4lgm53SiC5RaAREJON3eYgj8sZg48QdyccUrAiEMuWxrbxNHLPUnk5ZJAUyHLdCFHsOibjHsQrcFBspxs2gbJcvhJkXh3SZaTduz4Pm56P1hb5jaQG4hvXcrc9Fl6rE5ES7thQx3a6k7cUDdFvkAsX+vHRdAloW6sGzq+SHa4lcN8xOmLhWU2jC81tpo//uQnP4kXvOAF+N7v/V68/o1vwHe8/50ojq8YK29BT2gPCc5PCrzxxtvw4PkpHtqcNp4zLTw+8IrnYpT3suIeFw+LSkx7tIO6LIp7KhjtO/MLoGKVWeBe4ge5xC77TlVzHd3CHbdq+X71PH8s5uWcL8Pyk4Zz6zJpbpBNU2xbqyS6o92Lkt2KP2tyjlhYKfqsKlFKO9LInflMUlrXhORWFIbW33WCaxa6vEp+6xGVOU9IrvWP8AkJ0lRU21dJDcRQn1Wtq9ZtJ1myV6slkDxjRoqVIEgaGQ6Ly4osOYMEegoWVZVHk+SZ9QOS6MIjSf9DGo3IIiu7mRK4EkChwZgsj+xISFQ5ljJcqXLkUn17S2B8v/ycnnSYHdegS+teNqnMkqjWPLIUOanVMAPAjHIsBJxmiRVZ25pty8l1WbKbSQArm0eB1IdAWIgE1u7HqMqS85jeKJUlS0AuQrZNGGzKeM2OOyGVZpUeePG9tblNST5ak+2WFC2Dk4RQGwnV84iUmGpKIWiAMJMqY+aAgkCzhojKNclyJbKy+eVaNa28IBtOH5IEdatuHV2f7/R6bSVvLRca2U3RZU1t5S6E1ghBi6bYWTTir9tBQl1HG5lf6Fp098cecGhz0HbgxhtvBAB88IMfxEfe9wd4eLJ9wDW6eOgJ7SHBTZ99CD/3rk9VPnv240/h/vMTPHh+ivOTAt/+Zddi4I6ALqDH4QF1RE/ssTCWkvYuA7Pg7BLkKcpKF7og/LcjJADOTud0kD/qINttMuLwX1JM27qI5/3D6zJpI1rpZ0ZizPpbLUCLrpF5bvm9jso61dfKs+sbpMupf26wSpdAPkVMMZRIls2y2xh8Sgll6l8LBpwpYpO0QaHOeu96jlqvwaU4TwxcqbVX780E8BBhA4G0nJ1kyc5RIO/lSCyYFRm7lW3zRe+fypLNH9MIu/m+ZttCoH1O8NsEziXKMYjh1XrKOUtOXMtVi7gBaP625QjwYznPDaTdfiL3LYci7c23gNFpoFgjTE9k8ENGcUyIH6tlkgcM5BRJJSMQDM41z++A4b0FtSKdv6yEPcqSvfrRbl/BlTy0VACYyRwPAcrUn1uCaHGcJxowKk2xEmTJ6/K32yZkFyQl0OghGUBLKzQ7zkLe88RqavlrQ3Th6k4Pe5LUQCWB1S/aUhBJoCi14hrRVQus+eiaH20lovKMQNvxhSJWbZ34A7Pgmm9vfJEHv1wjuHa9WUSbLKNNEub68UXlNnuxXnYRy7ZDbb6/hkX45zKb44tu1Ib+3OUXLAEYdO2e7h6HeuXU0r2vfvWr8eM//uP4nu9/Kf7Bjb+DM+dX0Am4BT2hPSR4zvVX4Ju+6Bq899b7sDmVCXbT7afx/KddjZ944dPwqONt3vo9evQ4aOxnLrpF/ZKaL17Cd8iscwuev5APbY0sxgPQ1DcNBxPCNFdFwnyEUNdeZ64tzuZk0gxQLexAmfq7Jou44PerhCq17BJiHZrqHoJMpZ8nv1e6gefPDSRXZbjlCNGaWpMsh9RCalUxK249j2xjZOV6QCurpxKf0Gd6TqZBpizgkp0/d25yE7O+LiVLNuuiEltLq1PJM0zJdaENQiBsPFN/29Ri62YAHMFNAM4I5bpIcwPxVz/UkP6HAZoBBOl7X0Dz4rK2kUW6PBTiWQ5lYyqbAmv3ywbE7LhaNk8wyrESP90kClGS08A5Ru40UjGYowqhJFDButFByAslbkoup6ekQ/JNF6z9+bZtBug86ZIl21w3WbIqOfyI4dcYKITYimReNoSGZwg4nYk1WGXa5Yil/pqHNswvbSRlDKzJQHFKGksjqdoVpiTJOfjPUmLNDRGVE4uoV7kyCo2szATaUiKtMnef+06SG2aVPaO1d2Agv01WQSOztc2w6nEraEGLaBu63sttVuKuyM47lQnEdi+Cps2ArnMZ2FuHXIzrG4pbPQMt/vk//+d47U/9FN55/VW4a3oBR8J5VtET2kOAovS49+w2vvuvPQHP/6Kr8TN/8En85QObAIC333wPnnTVMfyf3/DkA65ljyMJLz5XPfYGzmhxudUy5SbWkd1evwzZXipf3wLFUo0UVuCpPVdiW9kEgKhG9rh1YVEPeNYkk55zBU6slnPW4JESjbpvsBELI2m+Wp6rWRTrcuYmo0gnyW2yTCIhuTXJsks2FjhTP9KmoFMuzoF6ROXU8mTWTjvuCgTfW5MDz6UG8rUysZwsOZB2JQp+FNUlwV/YLOouaYtTOXHaLywWST+Sa4xYZxO9fCaEQvxfpTxPkKBFOQOcpP8pgawkuAzwU4QAUn5geWEZriBJ/TOiEHRpcF76QiS7GaYnGMVxJXyadocHPhLbVI5s/zLAa6RhKgi+RJAlEwPZVJ4VMmvymliG3VQJqM4NmzdBlpwjWHklPkBVlizKBUrGmVEelzoXx+WcfNOp9RbIVRbNTq6ZnXDwQ7GUsuYAxsCL0U611FT352QN7GQBtRgiNdZ6s12bCTEL1mCdbC73suIdlYHUcemCVZhKAk0caFNJu5bjB776Dm6ULodKyv+1d0ewGhuRa3wn1glw9+FO7HRu2/GdiHBnmct+/y1x/l7copYhz7sp++J/7e8rrr76atx911141eOfgp+49U8PujoXFT2hPQT4p7/xMfzPT9w99/m//zvPwGNOjvFlT7j8AGrV45EAVwKjMz2h3SvECrYP/UgxJ+ZuIAvOFkto0/mLEtoaIWsvryupPbcW0kaCzSIZ/maotaWtnqkZFHMBtsKCvHINzxHFcL46bs5JzDla56i2YI1RjVW2qsTOqXXT6rEUyZ1f68vPlKSmgZ843tdSzRBzCO5jaV7C9Q3EOyWkJk8GAd4lhNLaSoipgaychCy3ypLTqMlKkJ2Vk1pMWSTDbqIRjMc6ZmnO3LJ2z1JuHCy/5mfrgHINsCjHxMnPguC3pH/KNa5IstnJPHCTOK5ZIWTIzzRg00iegXLIwFDJo1p6zd8235a2rE0I/ABJ+p/LWf1RffBlRc4aQErH3wbGZMKDRJZcCgnOJkK+zacYhVjuJRetOY5SVZY8g8iSsygfDnJ2lSWHjSE23+k45+0ZK455IbeVdERSl8FZgiupkje3HEobyuOltHUuX+t8JOUgVTZfXEaMqKwslM3ymKnVFYjW3MyDMgADIbmspJNLB8ykTNrOGl+fQbqcohZ12UCp/3ADB+ayumvJTaS3jZSlMufwWfOplWvq2KtVGNg/crfXzeL9yuSwYmT2tttuw7d927fhDW94A969/QAwPBrBoAw9oT0EePFXXR8I7fFRjve9/Otwcm0AV89N1qPHPmAF4xocOjj1TdsP7MWCHhf0C5Rh5HlBi7DIEne4f5sPbQOBq17XvFKQtlSPtQY1Y8ylDJrzoQXmx02jx1aks1akfT5fjSBvJua5Y0IEGbSm55j1tIgRdZ3KbuvS5UX8c5uIbkpyAcS8rjBfz2jFzaYAlSz+pJY2qBZR2T5L22TWTpte3gHQPLYhNZC1J82320BuQ93Nqqvy6hBxWNdeFvHZyqYCcOfVaqtW4Yos2dL/6DHo/o53DOQJ2YNYbMEAZUZoY+TiTMlzoel/xIqpJHco57ipTA6RSVteWxJrZC7z2qvc2urnLULyVK4bbALDswQ/JGxfqcGr1j04N1myDayS1UIniW3WBFmyEGoqKaT/kX4k0ESDW5GOKdVkydvSD2axrsuSbaMqpFxCMt5qQefMyGQSWGpD2pxtuSDfdjPZCBicE3/mYkstxNZnQx+lxRZIKMxLvXc+P/GDHNiiSBcEZhefqTSyssmWlRySK4FhMicT+MIJaS5pbjONtnOxGGdq2Q0HIH7EDiH6cnrMDeaJxZx3RJuLRyrPDpWM/TCHNj9eav64el0HLgYh3g/sJ+mkfS7/IuP666/HFVdcgSc/64vxqj9910FX56KjJ7SHAM+89iS+5ZmPwW9/7C78zsv+Gi7fGB50lXr06LEEFor4e0CYC2zUBlb/wAVh5KHzHM2DOXcrmidMASn5aLguJdEVqWED5qyvdaLJwFxqIU9hUU51susoLIbn0v9UotZW7ylkkqIPb7CaMszP2XIaVqTLpVoodQ1aJ6lpP9TRRXL9oHrMiI4RuMo1FlF5EOXDqJUTyFJyXT01UCC/SZTiLlmywfyFXaH9U8Q+rY+vzfWQR3aosmQlvgACEQsyauJA9p1KWS16M2eQFEtKOLkEhhrtOE3/YyTbDznmjfVKtrVcS79kQbtMecGa17aciUTYJNCuBNbvlHZsXe1QHJfctiKx140ntrY0REkmAJnMy8Jk0tsuBJEKY65pjVJZ8uw4I5sQ8i2xFGYWWTlY5mM6I7Pu+2EiSyYdKyO3iZUeAMoNkQMX9vyVJPO+iJbi4AM+cNpvKlHOAD/2gSSS9Ued5Np7x+ZsSvwsZcxErbkpyTULq15PtXeLSJfrxFrHwiTMBYFmyUPqAZpEsltxAzFZc+g7VmtyzcLruCWOUsP71WMufkA41hZk0IJCtWKxTdGFcCm/K/f7Xof0e78J29vbOHv2LD49WnzjepXQE9pDgO1Zid/5+F0AgM3J0Yk41uPwo1Fy2WN32Ked2lYf1AWxsAW+xQDQeckOdcu20ZjaoGsDQCSwzbv9ZuGKFUBVZov5Y3WJsRzj+LertzuSzLqs2EgAioZgW5Y3tk52Qz2qUk0A8xJmnpcuB+ttKdas4JObGFoq/rT1tqZVSUjuXNApJVykOXLTiMoWVTmjSG6Df6uNgZLCttRAZq03otcmSw7+ueZXq+WUqRzZ6qYBo0LE3sRyC6/HmQLZBKIlMcicbZPErLYsfW3RkYHYZiO2FnwLRBIZ2eTIakH1GYuxVCW2QnIRLPLspJ9FZq0Bp3LEwFMafMyN5O/RacL4QcL0MpEKW97V6OupFmnUZMnaTrPclute2jcjjYrMoS8txy0XHKJLT096mLxZ/H4pBvLSTYWQCmgW54FsWMWNAptzIYduCC6lbRioLNtraiCvPsraX/kFAFsEsrHMXbD6BjI9VLJfi6hs96745aYkl4GQOshDoiyn1a776DdIl8M0DxJmSGohAyMEjOKZqwaM8oDbqiWqrj277Lg9l2ruQ/TncHlN8hw+J7TKbzkZp/ljtKMfaqNMuvVkLP7FFHbEFiy7sYw9XLtj2atjoj137hzW1tZw17kzK1XvRdET2kOAwjM2hjnOTwr8zV/4Q7z5Jc/Bc66/4qCr1eMRgHTB2ONw4lJuOCw1F3iBNcluSDJHqWNjgbU/hVQ1kGYjMXXi5mI5bIQgLb5CdOaoLiqENzkgxICClLep7sGKa0RQ78Gx8HnpMkPy7zIHybRZRM2qFXxyrZyUJDYRelTJbYUY19IGeRUMOQ02JFZcidRbjlCVJ9fIKRDnVHjXkJJD67OkLnOy5KRfzMIbSG+Q0CLmzNV2mMVUou7K7xYl2SsJqkSxtvaHSM0xkFSQtCuBKzQHaqbpf/ILQr58Lr64IT8waaRpZvUJVpJq1k6zIheRMPuRkDqTJUskZkJ+AaApMHoIGD/g4IeSX9cPgekJr/6zQmqCLJkRc8paO61fh0oglcxZP8VAYpGEV2TJl6n1ciZWVDeRuqHQeyUbTH6QjKcGjpqbEzULLkjqxgSJngwAJUL6MYsynm2LP262rRsPGYV+t/ENEZWHHPPQZvOSZao/5ynJNWtuSubq0uX0RdAQddlAFrwrJdrJ/A5/MoGLGuk1eXMDqaRtF94T1jYecHMwQAeVPjeTXcprdQvHGoJ0NWDOP7j1RCXAi55ezu06LocuCfZesEwapkOAK664Ao957GPhb/nsvuXmPUj0hPaAsDUt8HPv+hTectPncWarqmu79vL1lqt69NgHHL2NukuPffxuuJQbDstYcxcrsOXyuvWzXocl+tOl1qgaLLqqoS6TFv9HqixKg49m6udp5yd+rfUFY/DvrXViau1MCWkgnpq+KJBcLTcNTMVa2SBZVutlOVZyHSSkGqHXJMu+QbKcEnZU+yMdl7q8uRzKv+CH6aM82YIH+axKbmO/QBeV1U20LllyCL6U5LplQIhNoWOn1lwy67AFrUpkyXYPp760FsG4HKu1PzFupbJkEMBeNxZMTs1xs6IcaXkTJbeFWFZ9EkXajwDOGWVGoEws8T4NEKaWUSHcCL655Ug2OTiXNFJmCbVNBSqB4Rm5f37eqTWVUawxkHO02lr6H5PY2sLeAiUlGyo7yZIBgPKY81ik1oxiXfp7cJ5CIC8AEhjLNpAcJBhVxpHsGkGiOHZMAE2psrEEZ/l6I8md2ThPpW1uKn3fFFFZiLVYwUuVLPNIB1RT9NQlyxWSW0vr1ShdNtSjLqfIzXLMc4QylTUTMWhQzt+35Z3IJVWDSjFC1OY5lABdyJvflw5ojV0w4CizbkPGIsdeEG6ZdHT57pWLIZ/wfhBaT0sR84PGq171Kjxw//34qi95Nt74J+846OpcdPSE9gAwLTy+8JVxMj378afwvKddjRsedQxPf9xluOJYn3O2x6WD2/13RQ/FfvrQ7vl7eInrF1Yhce1nx32b6l/3hW0tv15kAxHulC83lVGL1eK2UJFFm3+nWBKpUralYpmT6ptVscFqU5ED2xo+JXelXBRSztSly6HsRMocrJfCBkxiC6CSWsjkyXPWwcQyuZAFF7FPgu8qR0LpNHCSmwgB9DkFUlexHGm9F5ElGwE1WbJPiK0nVHLm+trGQ5AlQ8tJCLL1VXaBkF0QwlOOI7lKNyA4k+vIaf8yh0jLZsXkHChyRN9X8/MlQjkBOCeUI/X/9CRlsRA0I2WuALiUa9ipZTSxMhZrBBqxEtpq3uHsAuC2NXicI0xPANPLfCRuANiIhm5EwENS31iH2DNUkyVnUwIaZMkGn3PwC55czjAZuCuFBGeTZNwpti8EHksJrxJ+Tggu6aBULLhGNgnwY3mIStbYblo/0vs7Jbs0IWBTnnOfiV8unG5qZIAfJXmA1dJNaUT09EXSJF021CXM4XMk0ZdroAYi2RA4ilpeimINrn2Jj1q+1M0y2uQGUpIQ8qZ7zEiIcBeai22Gk7RWC33hEMRXereRjkn6yO1Hrvj9ip68T3jNa16Dn3/d6/Cq2z+ErG2OrDB6QnsAGGSElz/vyfjF93wG5yYFbrr9NG66/XQ4tj7McWyUY2OUYX2Y4/g4x7WXr+P6Kzfw9MedxJd9weUH3IIeRwm+fwvsHfXF+UVEsLDtBsssMpAQryXK3/GUtrq3WWk7ytyRCNeLqo/JvAEVbbJok2GmsIjTIrNNSDCpH58FPEpTOFGNmCIuYBmQBXTis1uRLicWr3r05UCcrf5Wds0v1zOqwadKIN+KOVTrOXJDHWv9FEhzslFh8mSfIVj0wGop20zKdWK1tHdNvT8WkSVnKXnVCNveIioX8Xor3+fq/zsDUAJZiRiMzMVzM7XusZMIxha0yupFJaK1nuM/s6QHYjtQH1izXNv8IZHmck4oh4xyLBX1TgaOc0aplnWnMmaTIztN/1OsqZRW/WwD4dP0P/AxGvPoNDB+0KFYB7Yvl0BSfmzBpCC5bT0BnmUjx56RBlly0SJLTjdj8kL6IgS7GgMlebixyoQL0o2OZJxKmRiB0BJC9GQ/rG7mpJtnKckN8yjMJ7F8+rGcXG7otaUFWVP/34KCsiDfIp1TmTy3g2jFLcdCcHngq8TFoUG6bGiQMIdDWue5iMQ0L/8ssqp8t2GjLMDk1GkRFrG5ASZ9nvs8QzcR3uGLhAsXN0l2giexxC/4hUObe/C7IcAPm6XUe4b5bK8IXvva1+L7X/pSXP2UJ+Hk1305tr78qQddpYuKfil7ACAi/JOvfSK+/2tuwOve/Wm87RN34cHNKR7anGJWMh6+MMPDF9pzgPzRK56Lx5xcu4Q17nFUwS6xTvTYNVpTx+wVyYJ+N6jk+lwAF9taHywzFwldUuXG+y9iOa8bCmoWybZ60LT6Wb5NkRCmxpmMxLKb+JpGeXG6KFeSW5Mup5F/g2TZvh7qUZcpKWdOshz7L0h1zYqrC/1AAJONkArBrZNcH4+lUYf9AHAq53UlAK+BfbzIcMtRtbxFZMk2N10BoECwnhr5tXEBUJElF2OEwFrWVrunEWJry+C8BZBCTE1jZD1J/2NWRCmIAVAg/EzRz1aslQhpvbIJwV+ApKdZT4ImOaB0HINCTeI4Ewi5WYsHqOY+5ehv64dx/NxUrOXHb5cASttXirXXj1kW9w4iTeY42ZeRJRuJN6u0+L2TTUkAmqpoCJRjDxzXcS0o9LNtNIT54wAQVVIDhf52CclFMg8rc4Uq8zQluZwJUdVUxOo/TSEatdP0QW6Sklz9OcrgE0Kbkl6zgIfJl3ND1OVksIDFfFHrVlQl5o3vvsIB09qhLpfTQQu56/CTJWonyOGcJpl0FzYWP9UXbsegVO0XE2jqFg9YtQymDnT+kEbVbBiuF73oRXjggQfwpl/5Fdzyi/8F/+J5b8Vv3faZS1+3fcKOhJaI3gTgmwHcx8xP088uB/AbAJ4A4LMA/i4znyYiAvDzAF4AYAvAP2Lmj+o13wXgX2mx/5aZf+3iNmX18Mt/+Jf4D+/6ZPh7kBHGgwxrgyz56eT3YYYL0xLXP2oDVx3vJclHCQf5jMmu+z6RsUcIzGq4Hy466WJ9v9GYwqbr/A7f1XCO+XAuibaN+8Y+7uj3RQjwnL9beu/atSG6awO5qxhUfPX3bBJlk2IltDQuHFPEpJF6E4tMJT1NQr6CxSqNukyAmWo44zg31U/QJMDBQmkEdwiAWa1pFAISAdFHuSmatPVbk++tzVuvnwef3hkw3F5elmybIzGgEJAV0j5f99ttkCWXFtxKg2jZ9Wl+XesXseBRCGzkMw7n1KMkW/9yqC8FX2A/1HpoGh6z3rpp9OUt1jn6IJNYyjhnsbpOxYIqJF4Iq58iWIzFR1TIk89j/1rwJD+Tn2v3Sn0mJx2KdZJNhXUv88I2LLpkyWZxtPZmGsisZPhSohFnU668PySKcpw3Ub0g/r42JyywmW00ZGG8Kelf/VvrG2X/nDwryTxi7bMaya375ZaaQxfHEIm6BrjK7DmYANkcmTLptKu8B8qxRl0eMHyF7EKIZNZiwa2/Z5qsqG2rdZM5pyjrL7XkPrN2ttv2qkznSSM0jVSwXO8Ewo4EOcUyvrmN2Cf7Dx9mH9rT8x+98pWvxN333ouf+LevwmOf/CS8vXgIfHm78WzVsIiF9lcB/AKAX08+ewWAdzPzTxLRK/TvHwHwfABP0n9fDuAXAXy5Ls7/bwDPhjwzf0JEv8vMDV3+yMG5bdHfPOmqY3jdt38xTq4PsDHKsTHMkblD+pD02A/8Kg7qGUssFj12j7pV7qKWvYdyzT9t4fsssxG+wLdHPado5ViJZvKckJg65uTXLeu2zmN1K2O9DraWbFoPdvRl2tb6fefypSpZzBLpJOfULF1OLFONkmVl2CnJFZ/chOSKE14guZxzhUiyVlrSInEgZqYQsI2vEH3aSKsFbkra25YaKBDcgchQqRRZMnEMNNQmSzYrnCsjsQ3BhDj2p20ssYPIks0answpS/ET5NZG3hPrq93bLKuWxsb8Wu36kNrHxXuwq+a1NT/bcoAYrIuTn4W2faQ+s042OmzeEGs0X90QyGYUZdGEJEoyaxCqKH32SsokmBdhcB4YPwTMNgjFRgY/YM2nu4AsOeVY1v9GbgcMP1RJe/Dx5Upe4PR5L4dCgPwAKBPiRwVhcI4qFvWUsFpu2khoKW762NhbOqMGkruTXy7nMf1ReSzWKX3nRGk4zeVsTqMu+yx5WTgd21ytuwOuHONhbScxWyyqsDVsLsh7l79oywuTzQrchCZZdAXSR7yozwqhOQpzy7nIm9MQLXb9Hq7dqWjilfKjPXXqFB573bV4zfAe8F/eA0A20I4KdlySMPP7iegJtY9fCOBr9fdfA/BeyGL7hQB+nUXH8iEiOklE1+i572TmhwCAiN4J4HkA/vvem7C6+ManXo2ff/en8Kn7zuP5P39j5VjmCKVubX/wR5+Lay7rJcZHFQf6jFHvQ7tXVHwf96P8PV6/jF/s0ufuULkuQu01lcf8RQ05YMOxeZJMbVZl3tk6nFpNF0GXfLvLvzdcZwSy4bxAcicJyVVS6wccfEZTC1WrX66RXEa0mnkluQQJAGMW20AQE2swz0dU9gOg2IBa0yhYA2UBH/uw0fc2+dzIG9hkyRTIS5cs2ScW0rmgVqnPK0sdUajlNrV8G0FXy2GM2qz/CuVA1i+JVdpIr5sa+RaCQiUkIpGR52ScK3lt9f3gte2UWlQ1cnG2LZb7Yk3uXw4BJgaPARpFi2a6EUmlkDPLb1tJ/5NLqidnsuQBBSI2foADYUxlyeWa+o3uJEv2hEpAqdwiM8v5NCP40tquAZ90fLJpnCSsvuGsc3t6SlinyZPdVAmkkVzI2NpcCiTXxkotu5xz3Jxokizbe7uJ5NocsDRICcph4p+bvg+YgmXczeJzLIOOQNQ5o6qa2AF+5KqbP8OqtDykH2rxoa3noQ1tbEQzAWv1/V0QbcGmGuGxeNoYT8CkwQq9BJaODbEostUitE9/+tPx8pe/HA8++CD+2ht/Gp/PjlZgqN0uZR/NzHfr7/cAeLT+/lgAn0/Ou0M/a/v8EY3/45rj+J8/9JV47e/fio/efhrnJzF8oJFZAFgbHKEtlB6L4pI8Y2IR2ntlH9GwtcR+fK91WCsXxTJ+sVTsfE71gu7DnT60ZnFp+rxtAWKkrn5JhxV47u/6uq9FFt0oK7a/m6rdMQfCdTU5c0Wq20RySwBFzT8XQkxYpamVqMuJdZHNChIUhtGSK2SBKumDoGlVxII5H1GZLHfrECiZQ7oUi2jrinjfig9ug/XWuim12gJK2DRY1fDhBlmyEZc0CFWCEMnYiK36vlb6x9L/JJGQQyTjJMgUFbLID8qFtGwP0KY0rBxHAmlBvOYs6o6FwFrAJyBsHoRI0UpsuQSGarV1Q93QGHFIJ+WHRpIRCV+phEKtyn4KtdSyyNrNYjyUOvohoRwrMVYJ9tq98nNyyqHYkBzDfq1FlmyBx0oSP1ibQ7C5BMknCwBJPmUqo4w3tdiS1zZQ0odqdS3WGTimbfbR59WI41z+5bBBQ7XnIqYNCs9Ik2SZ49wJJDdFzaob4FjSChEk6nL6LmDdiPCEzOTmVpwGaZt/dySkXzcqmt47fqCBtEL/swYQa3gZETrz0HZbdtsPAWgNNtWIDEv52+5J1svU7n+8V5S0eCCsQ4Bv+ZZvwTve8Q685S1vwcue8/X4kT9810FX6aJiz7YZZmZaRgy/A4joJQBeAgDXXXfdxSr2UIKI8KSrjuP9n7wfx0Y5nvzo4zi1McCp9SFOrg9x7eVreOlX3wDXy48f0djPZyw/eUokdD32hP0ktG4vCdDVKrJo3ZYhz11y4vScpWduB6FtJJktluIQqCg91vCNN0d6fWxbvT/mcrqmda79XSnT+qDWF3NW3TrJtcVzrawg/TUpsVpyzX8v+iwSKgGj7NyRR2oJJ7W4UUnil9oQUblCjpkkJ6nmSXUjxIi2M+i81Ta42JaKz622ty5LtiBHbhBlySC12GaoyUtj/Sn5yQ7wDjG9DQBYlGO7PkkRVPeL5WFsA6n1OFO5cz13bjaRdvs8WtXS8kLb9b6UJVbbhOCXQ2mj5LOVn3kpZcxAwDCRIzOF3Lt+wIHYkpLTrCBgCvipjKMfCXkrhwwMlcTqua4gQGXJroyy5GKdMD2eia/pWP29NY2QdYCkupEJGqS5Rj7StDeJioA5kngqjORWUwMB0QJdsbJqVO1ivWqRdIVIsl2R5PcNabCSMhpILij6MFf8cu25rL+/albdyqHkOauQQ9JND2L4utjO+i7521I5hcsb5M0G8/WNcnCKubTrt1JlQZOSxGeAHzd/ASyah3ZxmfRy2JtkmIVA7wf2JXDG/uH9738/PnPbbfjIp27Bv/rzPwSt9RZaALiXiK5h5rtV7niffn4ngGuT8x6nn92JKJ+0z9/bVDAz/xKAXwKAZz/72Ud+pf2z75SgUN/6rMfhX/+toxVCu8eecEmesfFjruV8c7VeyocRJpe76OWSEpRLMEQx/+ZiN1sognIL0Q9Eqs2y2kKWG2tWJ5Ndn9fJcmLRNAQptPml1utlFrq6BaalL7h+z6QhTRshrSRXf28i9Skpy7fiop0J4AFJUKOUDA4SkgqEyMqp1daIhUVUZpXvBnmytYvl+mC51TKyC9EX0lLxBHLRQvjbZMlpKhw/0HbkiLlpsxrpL+M904jO6Zw1EmO+nGmKoCAZzqWvjNiSF7IZjqWkuVA5sqV8oTh2Nm+MSFuj2Y4lPtCcibTbUvEQA4NNgLdIogaPULXYWfuVKFtQKCFGAEjz3Dq19Oq5XqNQk1dZsvqFlsNIoNbuM/KayJLH4mctZBZitVWLrFluA0lLN+Ma5ckI59ucy7alTzh5xshT8D8O8yTdnCDAa7og63cj6tlEg07Z5gSSeejkD5dK712UQKfBrNJ2zEVbNnSRXWt78tyFY4Pq3+WIUaEaDITo0zW4omrxBasvb4PaxhVAfqbZWintbGZ+c9G1u85Z4OvD/K4X2u1Uq/KeSO2+fX+uFkW5++67ccMTb8C/vvUDuPXh+/axXw4GuyW0vwvguwD8pP78neTzlxHRmyEBax7WBfk7ALyGiE7ped8A4Ed3X+2jgz+/+ywA4Ff/6LP4ihuuwDc+9eoDrlGPQ4JL8oyl6TF67B7724e7/9apLKAXuM3Cye6hhpgdqtYWCdlyWHaR3c5j6WdtVuCmz2t1biObqV9eheyqHDdYN9PLAhGcv6+rEaWmiME7klwgWhp0vqVpc4I1EPEYASJZ5ihZ5lwIE5uFyiUWXUoW10YmyjhebluHRoPx+AHkehtK8731kUjaOOSbFAIhxX6uti/tN/vViJdF8c0mkHpkgNP5XY5imUAkvEZkmOblyOa3mxLjYH1NLPTB4pum//EN10M/K1GJYFy3Igd/W5M+eyGVMfhV9Lct1ZqXXUj8bCfJhkUGFBtqubUAXSpLplKluWqtdDaG6WaAQyCnMl4cog77IaEcxdzFVALr90i55djBD4DZcWB6kuYJSnA1YB1/nSBlMtAJwYt+q1xNDeQRfXA9orxT70MFRUMoy3yu+M7mwGzkE0s8hT6kUjcnapst9vxHWXKsn/VvGrE5QIlqF9kN8yC1yDZtvNVdNay/Gkidz4ByzSenEgpNkzR/sikomolxtt38TnYzIL+w08sezS4kDZA5isXILwHlGodAaUvDYf/y0A486JDmoc1ofof9uuuuw//+s5txxeSrD6BG+w/iHTytiei/Qyw/VwK4FxJJ9bcBvAXAdQBuh6QUeUhTivwCJBjNFoDvZuabtJzvAfBjWuyrmflXdqwc0f1a/qXGlQAeOID7XmwclXYAzW15PDM/6iAqczFxwM/YOQC3Xsz29LikOErP+CMV/RiuPvoxXH30Y7ja6McvwbXXXvuY4XA4rHO8wWCQ33777Z/b3t6etlx6kHgyMx/f7cU7EtpHIojoJmZ+9kHXY684Ku0AjlZbDhP6fl1t9OO3+ujHcPXRj+Hqox/D1UY/fquPvY7hfgWz7tGjR48ePXr06NGjR48ePfYVPaHt0aNHjx49evTo0aNHjx4riZ7QNuOXDroCFwlHpR3A0WrLYULfr6uNfvxWH/0Yrj76MVx99GO42ujHb/WxpzHsfWh79OjRo0ePHj169OjRo8dKorfQ9ujRo0ePHj169OjRo0ePlURPaFtARD9NRLcQ0SeI6K1EdPKg67QMiOh5RHQrEX2aiF5x0PXZDYjoWiJ6DxH9ORH9byL6pwddp6OCozA/Hokgos8S0Z8R0ceIyNI1XU5E7ySiT+nPUzuV0+PSgYjeRET3EdHNyWeNY0aC1+lz+Qki+pKDq3kPQ8sY/msiulOfxY8R0QuSYz+qY3grEX3jwdS6h6FtLdE/h6uDjjHsn8MVABGNiegjRPRxHb9/o59/ARF9WMfpN4hoqJ+P9O9P6/En7HSPntC2450AnsbMTwfwSQA/esD1WRhElAH4jwCeD+ALAXw7EX3hwdZqVygA/Atm/kIAzwHwAyvajkOFIzQ/Hqn4OmZ+ZhLe/hUA3s3MTwLwbv27x+HBr0LyRqdoG7PnA3iS/nsJgF+8RHXs0Y1fxfwYAsB/0Gfxmcz8ewCg79JvA/BUveb1+s7tcXBoW0v0z+HqoGs92D+Hhx8TAM9l5mcAeCaA5xHRcwC8FjJ+TwRwGsA/1vP/MYDT+vl/0PM60RPaFjDzHzBzoX9+CMDjDrI+S+LLAHyamW9j5imANwN44QHXaWkw893M/FH9/RyAvwDw2IOt1ZHAkZgfPQJeCODX9PdfA/AtB1eVHnUw8/sBPFT7uG3MXgjg11nwIQAnieiaS1LRHq1oGcM2vBDAm5l5wsx/CeDTkHdujwNCx1qifw5XBLtYD/bP4SGCPkvn9c+B/mMAzwXwm/p5/Rm0Z/M3AXw9EVHXPXpCuxi+B8DbD7oSS+CxAD6f/H0HVpwIqtzgiwF8+ICrchRw5ObHIwgM4A+I6E+I6CX62aOZ+W79/R4Ajz6YqvVYAm1j1j+bq4WXqST1TYnUvx/DQ4zaWqJ/DlcQDevB/jlcARBRRkQfA3AfRAX7GQBnEuNhOkZh/PT4wwCu6Cr/EU1oiehdRHRzw78XJuf8S4jU4b8eXE0f2SCiYwB+C8A/Y+azB12fHj0OEF/JzF8CkcT9ABF9dXqQJWx9H7p+hdCP2criFwHcAJHP3Q3gZw60Nj12RNdaon8OVwMNY9g/hysCZi6Z+ZkQxeuXAXjKxSw/v5iFrRqY+a93HSeifwTgmwF8Pa9WfqM7AVyb/P04/WzlQEQDyMvrvzLz/3vQ9TkiODLz45EGZr5Tf95HRG+FfCncS0TXMPPdKou770Ar2WMRtI1Z/2yuCJj5XvudiN4A4G36Zz+GhxAta4n+OVwhNI1h/xyuHpj5DBG9B8BXQOT8uVph0zGy8buDiHIAlwF4sKvcR7SFtgtE9DwALwfwt5h566DrsyT+GMCTNHrYEOIY/7sHXKeloXr5XwbwF8z8swddnyOEIzE/Hmkgog0iOm6/A/gGADdDxu679LTvAvA7B1PDHkugbcx+F8B3apTV5wB4OJFE9jhEqPlUvgjyLAIyht+mUTq/ABJY6COXun49IjrWEv1zuCJoG8P+OVwNENGjSLPFENEagL8B8YN+D4Bv1dPqz6A9m98K4H/tZFik1TI8XjoQ0acBjBB3BD7EzC89wCotBQ1d/nMAMgBvYuZXH2yNlgcRfSWAGwH8GQCvH/+YRbHrsXschfnxSAMRXQ/grfpnDuC/MfOriegKAG8BcB2A2wH8XWZeNIBNj30GEf13AF8L4EoA9wL4vwH8NhrGTBdtvwCJyrkF4LuZ+aYDqHaPBC1j+LUQmSMD+CyA7zPSo65K3wNxV/pnzLxKMTiOHNrWEhAfzP45XAF0jOG3o38ODz2I6OmQIE8ZxJj6Fmb+CV3XvBnA5QD+FMB3MPOEiMYA/jPEV/ohAN/GzLd13qMntD169OjRo0ePHj169OjRYxXRS4579OjRo0ePHj169OjRo8dKoie0PXr06NGjR48ePXr06NFjJdET2h49evTo0aNHjx49evTosZLoCW2PHj169OjRo0ePHj169FhJ9IS2R48ePXr06NGjR48ePXqsJHpC26NHjx49evTo0aNHjx49VhI9oe3Ro0ePHj169OjRo0ePHiuJntD26NGjR48ePXr06NGjR4+VxP8PPjj/3PiZTC4AAAAASUVORK5CYII=\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "ref = 280 # location of the well (reference location)\n", - "log = w[:, ref]\n", - "log = (log - np.mean(log)) / np.std(log)\n", - "depth = np.arange(len(log))\n", - "sf = 2.5 # scale factor for log plot\n", - "log_bias = np.ptp(log) # offset from reference trace\n", - "\n", - "# Create Figure\n", - "fig, axs = plt.subplots(figsize=(16, 8), ncols=2, gridspec_kw={'width_ratios': (1, 5)})\n", - "\n", - "axs[0].plot(log, depth)\n", - "axs[0].set_ylim(depth[-1], depth[0])\n", - "axs[0].set_title('Well A: impedance')\n", - "\n", - "im=axs[1].imshow(w, aspect='auto', cmap='viridis_r')\n", - "axs[1].plot(top, 'r-', lw=4)\n", - "axs[1].plot(base, 'r-', lw=4)\n", - "axs[1].fill_betweenx(depth, ref + log_bias + (sf*log), ref, color='w', alpha=1.0)\n", - "axs[1].plot(ref + log_bias + (sf*log), depth, c='k', lw=1)\n", - "axs[1].axvline(ref, color='k', ls='-', lw=0.5)\n", - "axs[1].set_title('Well A')\n", - "axs[1].set_xlim(0, 300)\n", - "plt.show()" - ] - }, - { - "cell_type": "markdown", - "id": "timely-forward", - "metadata": {}, - "source": [ - "---\n", - "© 2021 Agile Scientific, licensed CC-BY / Apache 2.0" - ] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.10.0" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -}