{ "cells": [ { "cell_type": "markdown", "id": "beda8055-7d57-4f43-80c8-f4579aab5d87", "metadata": {}, "source": [ "# Introduction to `lamatrix`: Gradients of models\n", "\n", "The gradients of best fit models are often extremely useful. In `lamatrix` it is possible to take any model and create the first gradient of that model. This is possible because each model type (e.g. polynomial, sinusoid, spline) can be mathematically written with its gradient. \n", "\n", "Let's look at that here" ] }, { "cell_type": "code", "execution_count": 17, "id": "85c82848-dac0-41b3-bec3-f7148293285b", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "from astropy.io import fits\n", "import matplotlib.pyplot as plt\n", "import sys" ] }, { "cell_type": "markdown", "id": "27cadebb-c575-4a0f-ae47-ec18d5396fa4", "metadata": {}, "source": [ "Here is a simple sinusoidal dataset" ] }, { "cell_type": "code", "execution_count": 18, "id": "cae86953-16b3-4184-a1d0-f9606e4bc0f5", "metadata": {}, "outputs": [], "source": [ "phi = np.arange(-np.pi, np.pi, 0.05)\n", "y = 3.1293*np.sin(phi) + -4.294*np.cos(phi) + np.random.normal(0, 0.3, size=len(phi))\n", "ye = np.ones(len(phi)) * 0.3" ] }, { "cell_type": "code", "execution_count": 19, "id": "98c37a15-7c36-4fe0-9a1f-acd9ac936f66", "metadata": {}, "outputs": [ { "data": { 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.errorbar(phi, y, ye, ls='', c='k')\n", "ax.set(xlabel='$\\phi$', ylabel='$y$', title='Randomly Generated Data');" ] }, { "cell_type": "markdown", "id": "e3843633-8a50-4702-a9f5-0db34a57648b", "metadata": {}, "source": [ "We will fit it with a `Sinusoid` object" ] }, { "cell_type": "code", "execution_count": 20, "id": "4c365394-b44d-4912-8eb9-497776f9895c", "metadata": {}, "outputs": [], "source": [ "from lamatrix import Sinusoid" ] }, { "cell_type": "code", "execution_count": 21, "id": "42de05b9-7306-410a-8724-fdd11ce2b5d8", "metadata": {}, "outputs": [], "source": [ "model = Sinusoid('phi')\n", "model.latex_aliases['phi'] = \"\\phi\"" ] }, { "cell_type": "markdown", "id": "e6d29fe3-e55d-45be-a6ac-9d66bb46b964", "metadata": {}, "source": [ "Let's look at the equation for our model" ] }, { "cell_type": "code", "execution_count": 22, "id": "56cdbb3d-d9f4-4a97-a671-ef566f2a811e", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\\[f(\\mathbf{\\phi}) = w_{0} \\sin(\\mathbf{\\phi}) + w_{1} \\cos(\\mathbf{\\phi})\\]
" ], "text/plain": [ "'\\\\[f(\\\\mathbf{\\\\phi}) = w_{0} \\\\sin(\\\\mathbf{\\\\phi}) + w_{1} \\\\cos(\\\\mathbf{\\\\phi})\\\\]'" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.equation" ] }, { "cell_type": "markdown", "id": "daf61a7c-5147-40b2-9f6d-f068ac3a19a8", "metadata": {}, "source": [ "We see this is a simple sinusoid. We're going to fit the weights $w$ to find the best fitting model. Let's do that fit" ] }, { "cell_type": "code", "execution_count": 23, "id": "694da877-b7cb-4129-9766-92ad2abfc72b", "metadata": {}, "outputs": [], "source": [ "model.fit(phi=phi, data=y, errors=ye)" ] }, { "cell_type": "markdown", "id": "b978c1f4-eaf1-4e99-8df3-cd749f4ac0d5", "metadata": {}, "source": [ "Now that we've fit the model we have posteriors" ] }, { "cell_type": "code", "execution_count": 24, "id": "931579d6-ac60-443a-b04d-4344d974aed7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "DistributionContainer\n", "\t[(3.131, 0.038), (-4.333, 0.038)]" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model.posteriors" ] }, { "cell_type": "markdown", "id": "737cdd4e-9b47-4d73-a323-0eaeeba74d5e", "metadata": {}, "source": [ "We can plot the model and see it fits well" ] }, { "cell_type": "code", "execution_count": 25, "id": "8d6ee13a-cd28-47ed-9b5b-c1a56156d1e8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.errorbar(phi, y, ye, ls='', c='k')\n", "ax.plot(phi, model.evaluate(phi=phi), c='r')\n", "ax.set(xlabel='$\\phi$', ylabel='$y$', title='Randomly Generated Data');" ] }, { "cell_type": "markdown", "id": "6d7589e1-cf2f-4677-a74d-00110038474c", "metadata": {}, "source": [ "This fits the data well. Once we have this fit we may be interested in the gradient of the model. Given that we have fit our posteriors we can now take the gradient of the model" ] }, { "cell_type": "code", "execution_count": 26, "id": "cb57827e-98fb-4b9d-8378-00b152d5ff5a", "metadata": {}, "outputs": [], "source": [ "dmodel = model.to_gradient()\n", "dmodel.latex_aliases['phi'] = \"\\phi\"" ] }, { "cell_type": "code", "execution_count": 27, "id": "7369c996-285c-47e5-9c24-196a717bd2bd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dSinusoid(phi)[n, 1]" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dmodel" ] }, { "cell_type": "markdown", "id": "7393103f-c4d0-427f-9a26-a1d4b33b60c0", "metadata": {}, "source": [ "This gradient only has a width of one. Let's look at the equations of the gradient of the model" ] }, { "cell_type": "code", "execution_count": 28, "id": "48515ff7-041d-4b31-a35b-5e879c897925", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\\[f(\\mathbf{\\phi}) = w_{0} \\left({v}_{0}\\cos(\\mathbf{\\phi}) - {v}_{1}\\sin(\\mathbf{\\phi})\\right)\\]
" ], "text/plain": [ "'\\\\[f(\\\\mathbf{\\\\phi}) = w_{0} \\\\left({v}_{0}\\\\cos(\\\\mathbf{\\\\phi}) - {v}_{1}\\\\sin(\\\\mathbf{\\\\phi})\\\\right)\\\\]'" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dmodel.equation" ] }, { "cell_type": "markdown", "id": "be74d06f-587f-4a0c-825d-55c1b11e1db9", "metadata": {}, "source": [ "The equation for the gradient of the model has the best fit weights from the model, $v$ baked in. These are the posteriors from our previous step. We are now only able to find the weights for the gradient. In `lamatrix` we use the symbol $v$ by default to denote the best fit weights when they are baked into the model. \n", "\n", "In this case we have fixed $v$ to the best fit weights of the model. We can still find them in the gradient object by looking at the `weights` parameter" ] }, { "cell_type": "code", "execution_count": 29, "id": "0ba1e072-d1b5-42b3-9b50-ccff0f54c270", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 3.13081682, -4.3328903 ])" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dmodel.weights" ] }, { "cell_type": "markdown", "id": "1515379b-381a-41d9-9c3a-dd400f3683dc", "metadata": {}, "source": [ "Let's plot the model and the gradient" ] }, { "cell_type": "code", "execution_count": 30, "id": "5c44306b-136f-4dbe-8c35-703a59dc422d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.errorbar(phi, y, ye, c='k', ls='')\n", "ax.plot(phi, model.evaluate(phi=phi), c='r', label='Best Fit Model')\n", "ax.plot(phi, dmodel.design_matrix(phi=phi)[:, 0], c='b', ls='--', label='Gradient of Best Fit Model')\n", "ax.plot(phi, model.evaluate(phi=phi), c='r')\n", "ax.legend()\n", "ax.set(xlabel='$\\phi$', ylabel='$y$', title='Randomly Generated Data');" ] }, { "cell_type": "markdown", "id": "c5ed73f5-3d4c-41a5-b5be-08f2e72c03e1", "metadata": {}, "source": [ "The `dmodel` object enables you to fit the amplitude of the gradient ($v$) using `lamatrix` to any dataset. This can be useful when you are looking for small translations across large datasets. Let's look at an example.\n", "\n", "We'll make a 2D dataset" ] }, { "cell_type": "code", "execution_count": 31, "id": "3399484a-0233-40e0-8b45-98179d2627dc", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "t = np.arange(-100, 100, 1)\n", "phi = np.arange(-np.pi, np.pi, 0.05)[:, None] * np.ones(t.shape[0])\n", "t = t[None, :] * np.ones(phi.shape)\n", "dphi = t * 0.007\n", "y = 3.1293*np.sin(phi + dphi) + -4.294*np.cos(phi + dphi) + np.random.normal(0, 0.3, size=phi.shape)\n", "ye = np.ones(phi.shape) * 0.3\n", "\n", "fig, ax = plt.subplots()\n", "im = ax.pcolormesh(phi.mean(axis=1), t.mean(axis=0), y.T, vmin=-6, vmax=6)\n", "ax.set(xlabel='$\\phi$', ylabel='$t$', title='Randomly Generated Data');\n", "cbar = plt.colorbar(im, ax=ax)\n", "cbar.set_label(\"$y$\")" ] }, { "cell_type": "markdown", "id": "d6ac6bcd-2dc2-4bab-a700-85a8671a1dc3", "metadata": {}, "source": [ "Now we have y as a function of both $\\phi$ and another variable $t$. There is a small shift in the center of the signal as a function of $t$.\n", "\n", "We can start by assuming out data is a function of $\\phi$ only, and retrieve a fit" ] }, { "cell_type": "code", "execution_count": 32, "id": "43a1ffa0-ef03-4536-97df-ca0089adb919", "metadata": {}, "outputs": [], "source": [ "model = Sinusoid('phi')\n", "model.latex_aliases['phi'] = \"\\phi\"\n", "model.fit(phi=phi, data=y, errors=ye)" ] }, { "cell_type": "code", "execution_count": 33, "id": "a14ec62f-d0ff-4f1b-af8d-c713d1fb8c06", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = ax.pcolormesh(phi.mean(axis=1), t.mean(axis=0), model.evaluate(phi=phi).T, vmin=-6, vmax=6)\n", "ax.set(xlabel='$\\phi$', ylabel='$t$', title='Best Fit Model');\n", "cbar = plt.colorbar(im, ax=ax)\n", "cbar.set_label(\"$y$\")" ] }, { "cell_type": "markdown", "id": "cfab395c-b838-42af-ab25-a4b62f8ac8ac", "metadata": {}, "source": [ "This looks like a good fit, but we can not model our shift as a function of $t$" ] }, { "cell_type": "code", "execution_count": 34, "id": "ee4d4569-2aed-419a-a941-731b951799e7", "metadata": {}, "outputs": [], "source": [ "dmodel = model.to_gradient()\n", "dmodel.latex_aliases['phi'] = \"\\phi\"" ] }, { "cell_type": "code", "execution_count": 36, "id": "e88c72f2-1b32-4e61-9027-96a366271566", "metadata": {}, "outputs": [], "source": [ "from lamatrix import Polynomial" ] }, { "cell_type": "code", "execution_count": 37, "id": "364bd170-6122-451d-97e9-ff39dac2e8dd", "metadata": {}, "outputs": [], "source": [ "updated_model = model + (dmodel * Polynomial(\"t\", order=1))\n", "updated_model.latex_aliases['phi'] = \"\\phi\"" ] }, { "cell_type": "markdown", "id": "38f130b0-5e5c-4f68-b9f7-73b4e9d97cf3", "metadata": {}, "source": [ "Now our model is the original sinusoid, plus a polynomial in the gradient of that model with respect to $\\phi$ multiplied by a polynomial in $t$. Our inital model fit the to the average of all data across $t$, now we use the same model and allow for some small flexibility as a function of $t$" ] }, { "cell_type": "code", "execution_count": 38, "id": "d7895459-17b7-45ad-bd22-527587ea2de4", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "JointModel\n", "\tSinusoid(phi)[n, 2]\n", "\tCrosstermModel(phi, t)[n, 1]" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "updated_model" ] }, { "cell_type": "code", "execution_count": 39, "id": "f88b80ac-6f18-48dc-b924-2f9a3604fad1", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\\[f(\\mathbf{\\phi}, \\mathbf{t}) = w_{0} \\sin(\\mathbf{\\phi}) + w_{1} \\cos(\\mathbf{\\phi}) + w_{2} \\left({v}_{0}\\cos(\\mathbf{\\phi}) - {v}_{1}\\sin(\\mathbf{\\phi})\\right)\\mathbf{t}^{1}\\]
" ], "text/plain": [ "'\\\\[f(\\\\mathbf{\\\\phi}, \\\\mathbf{t}) = w_{0} \\\\sin(\\\\mathbf{\\\\phi}) + w_{1} \\\\cos(\\\\mathbf{\\\\phi}) + w_{2} \\\\left({v}_{0}\\\\cos(\\\\mathbf{\\\\phi}) - {v}_{1}\\\\sin(\\\\mathbf{\\\\phi})\\\\right)\\\\mathbf{t}^{1}\\\\]'" ] }, "execution_count": 39, "metadata": {}, "output_type": "execute_result" } ], "source": [ "updated_model.equation" ] }, { "cell_type": "markdown", "id": "dfb6fb77-7ba4-4650-9d81-879ece020bc3", "metadata": {}, "source": [ "Now we're fitting our three weights $w$ to find the best fit. Let's fit this model" ] }, { "cell_type": "code", "execution_count": 40, "id": "bcc5de03-5818-42e4-a9c7-166f39ab5912", "metadata": {}, "outputs": [], "source": [ "updated_model.fit(phi=phi, t=t, data=y, errors=ye)" ] }, { "cell_type": "code", "execution_count": 41, "id": "8833f98c-3595-4baf-a11a-ca479ec8236b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = ax.pcolormesh(phi.mean(axis=1), t.mean(axis=0), updated_model.evaluate(phi=phi, t=t).T, vmin=-6, vmax=6)\n", "ax.set(xlabel='$\\phi$', ylabel='$t$', title='Best Fit Model');\n", "cbar = plt.colorbar(im, ax=ax)\n", "cbar.set_label(\"$y$\")" ] }, { "cell_type": "markdown", "id": "4fafdf85-4f05-421f-87f3-6664b9aea6ea", "metadata": {}, "source": [ "We see now the best fit is with a significant component in $t$. \n", "\n", "This model fit is **an approximation**. In truth we should be updating our grid $\\phi$ since we know there is a drift in the signal over time. \n", "\n", "Let's look at the best fit shift model" ] }, { "cell_type": "code", "execution_count": 44, "id": "9dfc3339-d979-48e0-89d2-295afef494b2", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.0072361, 9.5e-06)" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "updated_model[1].posteriors[0]" ] }, { "cell_type": "code", "execution_count": 51, "id": "dbac706d-5474-40f8-88b1-fee58286ea20", "metadata": {}, "outputs": [], "source": [ "best_fit_shift = Polynomial('t', order=1, posteriors=updated_model[1].posteriors)" ] }, { "cell_type": "markdown", "id": "ce7ea221-4211-4845-8f0c-bd426d7cd288", "metadata": {}, "source": [ "We see this is capturing the trend in the grid. Let's update our model for $\\phi$" ] }, { "cell_type": "code", "execution_count": 56, "id": "031b5c09-987f-490d-ac95-4afd78450350", "metadata": {}, "outputs": [], "source": [ "updated_phi = phi + best_fit_shift.evaluate(t=t)" ] }, { "cell_type": "code", "execution_count": 60, "id": "e9eb00bc-594d-4481-aace-b45fa4ecccf7", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = ax.pcolormesh(updated_phi.T, t.T, y.T, vmin=-6, vmax=6)\n", "ax.set(xlabel='$\\phi$', ylabel='$t$', title='Randomly Generated Data');\n", "cbar = plt.colorbar(im, ax=ax)\n", "cbar.set_label(\"$y$\")" ] }, { "cell_type": "markdown", "id": "5c77e207-64fc-4a43-9312-572bb07443ad", "metadata": {}, "source": [ "We're now able to update $\\phi$ to remove the shift. We can repeat the process above now on our updated $\\phi$ grid to continue to refine the model and position. " ] }, { "cell_type": "markdown", "id": "22020c5d-afdf-4468-b4fd-e22ab38b381c", "metadata": {}, "source": [ "We're able to do something similar to this using the `Spline` object. Let's make a set of synthetic spectra as a function of $x$ with a small shift as a function of position in $y$" ] }, { "cell_type": "code", "execution_count": 185, "id": "78341bb5-fd4c-42d4-8688-63b3f7c13100", "metadata": {}, "outputs": [], "source": [ "x = np.arange(-5, 5, 0.01)\n", "y = np.arange(-1, 1, 0.01)\n", "X, Y = np.meshgrid(x, y)\n", "\n", "z = np.random.normal(size=len(x))\n", "z = np.convolve(z, np.ones(300), mode='same')\n", "\n", "spectra = np.interp(x - (0.07*y)[:, None], x, z)" ] }, { "cell_type": "code", "execution_count": 186, "id": "f10db95b-cdb0-491f-9e5e-117d5ef3d056", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = ax.pcolormesh(x, y, spectra, vmin=-30, vmax=30)\n", "ax.set(xlabel='$\\phi$', ylabel='$t$', title='Randomly Generated Synthetic Spectra');\n", "cbar = plt.colorbar(im, ax=ax)\n", "cbar.set_label(\"$y$\")" ] }, { "cell_type": "markdown", "id": "ef65d985-c640-4b69-a039-fd34399bdbfb", "metadata": {}, "source": [ "These spectra have lots of fine bumps, and a very small shift as a function of $y$. Let's apply our above procedure to find an approximation of the shift." ] }, { "cell_type": "code", "execution_count": 187, "id": "f335db31-64cc-4a3b-9638-0f21c4655710", "metadata": {}, "outputs": [], "source": [ "from lamatrix import Spline" ] }, { "cell_type": "code", "execution_count": 188, "id": "392a35f4-837b-4b5d-aecc-d2f90c83a10e", "metadata": {}, "outputs": [], "source": [ "knot_spacing = 0.05\n", "order = 3\n", "knots = np.arange(-5 - knot_spacing * (order - 1), 5 + (knot_spacing * (order - 1)) + knot_spacing, knot_spacing)" ] }, { "cell_type": "code", "execution_count": 189, "id": "41636690-a8d9-4e86-9972-51f6d52bb7f8", "metadata": {}, "outputs": [], "source": [ "spline = Spline('x', knots=knots, order=order)" ] }, { "cell_type": "code", "execution_count": 190, "id": "5bd41c5e-a461-49c1-958d-72c08f74ab3e", "metadata": {}, "outputs": [], "source": [ "spline.fit(x=x, data=spectra.mean(axis=0))" ] }, { "cell_type": "code", "execution_count": 191, "id": "813f5a03-3ad0-4e64-b6b2-3f66247b3e5e", "metadata": {}, "outputs": [ { "data": { "image/png": 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ElHonlGXPPPOMmfpER3Bq09MVhZ74W6cK0brAatWqmZHAOh2Hnig70VAwDgAA4uKNN94w84jpaYo0vNBpQKZOnWrOl3jBBReY8yz+85//NHWWehqpESNGmClZ9OwGiYTgCQAAOKZq1aomgNJzQeos+3pu0sA5SXX+Nj2Xp04uq/PSJQpqnuJAT+2h5wPTSQHjcXoKAIA7ab5CTxmlk7qeySS4xaXdY9olH699zv/blpqaalpRdASvnvtRJ3bV7ruNGzeaUw2FnpZIJ2ytX78+wVNZpIFTSZ6sFACQWPS0Peedd55jgVOjBhVl735/XLantUnHjh0LWzZx4sSIZysInDtRgyXdD73vkiVLzCz4mzZtMifXzn8y91q1apkTvScSgqc4CJx0tlurkeJLSRPb5xUrxSe21yN2ksdcWnrp078l77peasl+7jLLJ+Z2Kzl3uZ0/geXJXWaW593usbTfVcSbndt82XbuMv28hPTGmmV6kvTAIk/eY+c9htmWnXs/b44tHr8tXt2WmWtYbzi175ZPVz51mbsB3X7uY3v9eQ9in9qWL9MvnhxLvNl+EV1P17Ess0xy/CLZWSL+vLO4+7wiegLUpCTxV0wVKy1Jcsr5xEr2Sk6a1xwfKzn3ePrTRPz6Ds47fuZ5meMoucfXrGvnHk+fbZrodZ8tniRLvD5LfMm5BzE52ZLU5BxJS8qWZK9ffN5TZ5W3bI/Ytkcs8Yjf8kq23yd+22uWW5ZHcvxec6nXxdJ18w6zzzbbSUn2S5LPMttN9eVI+eRsSfJa4jUHONdPOUmSqc2fZB5Lm9drScWUTKmQnC3lk7LEJ5akenPMfX2i/xK0pKIvUyoknZSK3kxJ82aLN+9F1n3NspMkx/aJZV5skSRPjnnMNE+2JOvfZj2RTDtZTlrJ8pOVKtm2VzKtZMk29/OY9ct5s6S8L0sqek9Kssdv7qtSPTmS4vFLJe8Jqe47IZW8ttTwlRdv8I1RfNm2XzLtHPnJzpGTti1HrCQ5YSfLD/4KcsJKlUxJMvukzynLSpaj/lQ56i8nWf4kOZSTJsdzUs0xzPL7zLIcvbR84vd7JTPbJ1a2T/zZeW96S8S2POLxe0RyPOLRpjvh9wQ/Jx4r7+/Ab48uM+/pvM9Jlr7X867nfb50uS8z8BnU93nu50I/P7mf69zjosvM5zVTPxPa8t4Hed8NpuXWVAS3Ze6nb6y8z2Tu51U/R7rOqfeq7fXmfufo50jC1/X4LdNyP/Oe3O0F7qdZBfP50ft7xUryms+8OTDmeVvmsXR/g9vIt27e2yz3uOV9zwSY7wd9rvqdkO3P3YauZz6bXrOuOVaB7xxzp8D3jtd8T556joHH9og/2Rv8PjDrm2MY+H47tU+B78/gd575Dj31HZa7zZB18l5r3V9f1qnvuNzb845VvqSR+X72ivhTc7/fc7/TT20v8H3tzzwpW5+fFHay8njTjJMGTt9ubCjp58SW3Tpy1JIG7babYE8LwANSi8g66fkeNVDS0129/PLL5nRa7777rrgJwVMcBNKZSb5U8SXlBU9J+YKn5MjBU2CZJy948oQGT55iBk+e3ObznAqezBdRtMGT+Y6yxeO1zY9w7n3ygqekYgZP3pDgyfzA2+Lz+0VDD69ldkzMT4Ne2vor5jc/WqJ/K/NFmSziSxKPL00sPUFtUm7wJOaLUsSf4hGPflmmiIieaD7v+IUGT3ocdV0TLOnxSooQPGlLtnL3MdkvvmSfJCV7JamI4MljecXK0QfxisfW6x6x/V6zXK/rj3Lgu9+bFzz5knPE57MkyadBlE+Skz0FgqfsnGTx5ySJPy940sfU+yalaCzpkWQ9DB5LUrx5+ye2eD2WpPosSUvySzmvX9LyXjezz+IRn50bcASCp2TzPtHgyTZ/6/vFrwGSnSQeK0lsK0l8JvJMFm9I8KTbTfNZUs6bJMkej7mv0uUpHpEKXp9U9HnlHK8t6T6v6H/RyrZtybS9kmR7Jdm2xTLH0ysn/bo/PrOPSbbPPCevlSTZ/mTJ8uubIUlSslMkKyfFHEPL7xNLj6HfJz69r98rvuwkkWyf2FlFBE925ODJ/EMk8B7P+4eKCZ70WOqlN1/wZNtmuX6G9PNUaPCk/06wLPHa2iIET3nBhNmup5DgyRNF8KSfa/PZKyJ48hYRPOn9dL9t/bycYfCkz9V8r+j3gR6kQPDky/0MazBonmNI8KTbLiJ48hQRPOUeyxiCJ31Yry3mq8U6FTyZ17GI4Ek/FJ4kMS1S8BT4Hj4bJR4Vz/GYFgt916jA6LniSElJkaZNmwbPP7lhwwZz0ukbbrjBBHZ6EuvQ7JOOtqtdu7YkEqYqAADAhfy2FZcWj7rgzMxME0glJyebE68HbN26VXbs2GG6+RIJmScAAFzIEtu0WLcRjXHjxknfvn1NEbgWxuvIOp1P7u233zZTEwwZMkRGjRplRuBpJuvOO+80gVMiFYsrgicAABAX+/fvlwEDBsiePXtMsKQTZmrg9Itf/MLc/vjjj5tRhjo5pmajevfuLU8//bQkGoInAABcyDL/xb6NaDz//PNF3p6WliazZs0yLZERPAEA4EJ+WweFxNZtF+v93YqCcQAAgCiQeQIAwIVKomC8rCB4AgDAhTTw8RM8OYJuOwAAgCiQeQIAwIXotnMOwRMAAC7EaDvn0G0HAAAQBTJPAAC4kE5vGfskmYiE4AkAABfyx2G0Xaz3dyuCJwAAXMhv57ZYt4GCqHkCAACIApknAABciJon5xA8AQDgQpZ4xC+emLeBgui2AwAAiAKZJwAAXMiyc1us20BBBE8AALiQPw7ddrHe363otgMAAIgCmScAAFyIzJNzCJ4AAHAhy/aYFus2UBDddgAAAFEg8wQAgAvRbeccgicAAFzIL17TYtsGIiF4AgDAhew41DzpNlAQNU8AAABRIPMEAIALUfPkHIInAABcyG97TYttG3HbHVeh2w4AACAKZJ4AAHAhSzxixZgjsYTUUyQETwAAuBA1T86h2w4AACAKZJ4AAHCh+BSM020XCcETAACurXmK8cTAdNtFRLcdAACAm4OnWbNmScOGDSUtLU06duwo69evL3Td7t27i8fjKdCuuuqq4DqDBg0qcHufPn3O0rMBAMAZOtLOH2OLdbSeWyVUt93ixYtl1KhRMnv2bBM4zZgxQ3r37i1bt26VmjVrFlj/1VdflaysrOD177//Xtq0aSP9+vULW0+Dpblz5wavp6amOvxMAABwFjVPzkmokHL69OkydOhQGTx4sLRs2dIEUeXLl5c5c+ZEXL9q1apSu3btYFuxYoVZP3/wpMFS6HpVqlQ5S88IAABnaNYoHg0FJcxR0QzSxo0bpWfPnsFlXq/XXF+7dm2xtvH8889L//79pUKFCmHLV69ebTJXzZo1k9tvv91kqIqSmZkpR44cCWsAAKBsSJjg6eDBg+L3+6VWrVphy/X63r17T3t/rY36/PPP5Xe/+12BLrv58+fLypUr5bHHHpN3331X+vbtax6rMBkZGVKpUqVgq1evXgzPDACA+PPbnrg0JHjNUyw069SqVSvp0KFD2HLNRAXo7a1bt5YmTZqYbFSPHj0ibmvcuHGm9ipAM08EUACA0iRQ9B3bNqh5SujMU/Xq1cXn88m+ffvClut1rVMqyvHjx2XRokUyZMiQ0z5O48aNzWNt27at0HW0Rio9PT2sAQCAsiFhgqeUlBRp166d6V4LsCzLXO/cuXOR933ppZdMndItt9xy2sf57rvvTM1TnTp14rLfAACUBMv2xqWhoIQ6KtpV9pe//EVeeOEF2bx5synu1qySjr5TAwYMMF1qkbrsrr32WqlWrVrY8mPHjsno0aPlww8/lO3bt5tA7JprrpGmTZuaKRAAAEhUsc7xFI9uP7dKqJqnG264QQ4cOCATJkwwReJt27aVZcuWBYvId+zYYUbghdI5oP7zn//I8uXLC2xPuwE//fRTE4wdOnRI6tatK7169ZLJkycz1xMAAEj84EmNGDHCtEi0yDs/nX7ALmSSr3Llysnbb78d930EAKCkWXkj7mLdBlwQPAEAgNOLxySXTJIZGUcFAAAgCmSeAABwofic244cSyQETwAAuJAlHtNi3QYKIngCAMCFyDw5h6MCAABilpGRIRdffLGcc845UrNmTTO/ok4XFOrkyZMyfPhwM+9ixYoV5brrritw5pBEQPAEAIALne1JMt99910TGOnE0ytWrJDs7Gwzd6JOZh0wcuRIeeONN8yZP3T93bt3y69//WtJNHTbAQDgQpbtMS3WbRTXsmXLwq7PmzfPZKA2btwo3bp1k8OHD5szfixcuFCuuOIKs87cuXOlRYsWJuDq1KmTJAoyTwAAIO4OHz5sLqtWrWouNYjSbFTPnj2D6zRv3lzq168va9eulURC5gkAABey4nBuusAkmUeOHAlbnpqaWuRpzCzLkrvvvlsuueQSufDCC80yPa1aSkqKVK5cOWxdPcWa3pZIyDwBAOBClu2NS1P16tWTSpUqBVtGRkaRj621T59//rksWrRI3IjMEwAAKNLOnTslPT09eD21iKyTnn/2zTfflDVr1sh5550XXF67dm3JysqSQ4cOhWWfdLSd3pZIyDwBAOBCfvHEpSkNnEJbaoTgybZtEzgtWbJEVq1aJY0aNQq7vV27dpKcnCwrV64MLtOpDHbs2CGdO3eWRELmCQAAFwrtdotlG8U1fPhwM5LutddeM3M9BeqYtJuvXLly5nLIkCEyatQoU0SuQdidd95pAqdEGmmnCJ4AAEDMnnnmGXPZvXv3sOU6HcGgQYPM348//rh4vV4zOWZmZqb07t1bnn76aUk0BE8AALiQP6/rLtZtFJdt26ddJy0tTWbNmmVaIiN4AgDAhc52t11ZQvAEAIALcWJg53BUAAAAokDmCQAAF7LFI1aMNU+6DRRE8AQAgAvRbeccjgoAAEAUyDwBAOBClu0xLdZtoCCCJwAAXMgvXtNi3QYK4qgAAABEgcwTAAAuRLedcwieAABwIUu8psW6DRTEUQEAAIgCmScAAFzIb3tMi3UbKIjgCQAAF6LmyTkETwAAuJBte8WKcYZw3QYK4qgAAABEgcwTAAAu5BePabFuAwURPAEA4EKWHXvNkm4DBdFtBwAA4ObgadasWdKwYUNJS0uTjh07yvr16wtdd968eeLxeMKa3i+UbdsyYcIEqVOnjpQrV0569uwpX3311Vl4JgAAOEeLxePRUFBCHZXFixfLqFGjZOLEifLRRx9JmzZtpHfv3rJ///5C75Oeni579uwJtm+//Tbs9ilTpsiTTz4ps2fPlnXr1kmFChXMNk+ePHkWnhEAAM6wxBOXhgQPnqZPny5Dhw6VwYMHS8uWLU3AU758eZkzZ06h99FsU+3atYOtVq1aYVmnGTNmyP333y/XXHONtG7dWubPny+7d++WpUuXnqVnBQAAEknCBE9ZWVmyceNG060W4PV6zfW1a9cWer9jx45JgwYNpF69eiZA+uKLL4K3ffPNN7J3796wbVaqVMl0Bxa1TQAAEmWG8VgbEjh4OnjwoPj9/rDMkdLrGgBF0qxZM5OVeu211+TFF18Uy7KkS5cu8t1335nbA/eLZpsqMzNTjhw5EtYAAChNqHlyjquPSufOnWXAgAHStm1bueyyy+TVV1+VGjVqyLPPPhvTdjMyMkyGKtA0qwUAAMqGhAmeqlevLj6fT/bt2xe2XK9rLVNxJCcny0UXXSTbtm0z1wP3i3ab48aNk8OHDwfbzp07z+AZAQDgHFPwbcfYKBhP7OApJSVF2rVrJytXrgwu0244va4ZpuLQbr/PPvvMTEugGjVqZIKk0G1qF5yOuitqm6mpqWYUX2gDAKA0seMw0k63gQSfYVynKRg4cKC0b99eOnToYEbKHT9+3Iy+U9pFd+6555puNTVp0iTp1KmTNG3aVA4dOiRTp041UxX87ne/C47Eu/vuu+Whhx6S888/3wRT48ePl7p168q1115bos8VAIBYBLJHsW4DCR483XDDDXLgwAEzqaUWdGst07Jly4IF3zt27DAj8AJ+/PFHM7WBrlulShWTufrggw/MNAcBY8aMMQHYsGHDTIDVtWtXs838k2kCAAAkXPCkRowYYVokq1evDrv++OOPm1YUzT5phkobAABuEY/Rcoy2c0nwBAAATo9uO+cQUgIAAESBzBMAAC4Uj3PTMVVBZARPAAC4EN12zqHbDgAAIApkngAAcCEyT84heAIAwIUInpxDtx0AAEAUyDwBAOBCZJ6cQ/AEAIAL2XGYakC3gYIIngAAcCEyT86h5gkAACAKZJ4AAHAhMk/OIXgCAMCFCJ6cQ7cdAABAFMg8AQDgQmSenEPwBACAC9m2x7RYt4GC6LYDAACIApknAABcSCfIjHWSzFjv71YETwAAuBA1T86h2w4AACAKBE8AALi4YDzWFo01a9bIL3/5S6lbt654PB5ZunRpvn2yZcKECVKnTh0pV66c9OzZU7766itJNARPAAC4uNsu1haN48ePS5s2bWTWrFkRb58yZYo8+eSTMnv2bFm3bp1UqFBBevfuLSdPnpREQs0TAAAuVBJTFfTt29e0yNuyZcaMGXL//ffLNddcY5bNnz9fatWqZTJU/fv3l0RB5gkAABTpyJEjYS0zMzPqbXzzzTeyd+9e01UXUKlSJenYsaOsXbtWEgnBEwAALmTHocsukHmqV6+eCXQCLSMjI+r90cBJaaYplF4P3JYo6LYDAMCFbBNAxb4NtXPnTklPTw8uT01NlbKMzBMAACiSBk6hLfUMgqfatWuby3379oUt1+uB2xIFwRMAAC6eYTzWFi+NGjUyQdLKlSuDy7R+Skfdde7cWRIJ3XYAALhQSYy2O3bsmGzbti2sSHzTpk1StWpVqV+/vtx9993y0EMPyfnnn2+CqfHjx5s5oa699lpJJARPAAAgLv773//K5ZdfHrw+atQoczlw4ECZN2+ejBkzxswFNWzYMDl06JB07dpVli1bJmlpaZJICJ4AAHAhHS3nOcvntuvevbuZz6kwOuv4pEmTTEtkBE8AALiQxjAxj7aL8f5uRcE4AABAFMg8AQDgQiVRMF5WEDwBAOBCBE/OSbhuOz1Tc8OGDU1lvp4PZ/369YWu+5e//EUuvfRSqVKliml6Pp386w8aNMgUsIW2Pn36nIVnAgCAc2I9NUugIcGDp8WLF5thjxMnTpSPPvpI2rRpI71795b9+/dHXH/16tVy4403yjvvvGNOOqjn5unVq5fs2rUrbD0Nlvbs2RNsf//738/SMwIAAIkmoYKn6dOny9ChQ2Xw4MHSsmVLmT17tpQvX17mzJkTcf0FCxbIHXfcIW3btpXmzZvLX//6V7EsK2x2U6XTzOusp4GmWSoAANww2i7WhgQOnrKysmTjxo2m6y3A6/Wa65pVKo4TJ05Idna2mek0f4aqZs2a0qxZM7n99tvl+++/L3I7mZmZZkr50AYAQGmSG/x4Ymwl/SxKp4QJng4ePCh+v19q1aoVtlyv7927t1jbGDt2rJkGPjQA0y67+fPnm2zUY489Ju+++6707dvXPFZhMjIypFKlSsGm3YEAAKBsKDOj7R599FFZtGiRyTKFTgPfv3//4N+tWrWS1q1bS5MmTcx6PXr0iLitcePGBaecV5p5IoACAJQmjLZzTsJknqpXry4+n0/27dsXtlyva51SUaZNm2aCp+XLl5vgqCiNGzc2jxV6YsP8tEYqPT09rAEAUJrYcWpI4OApJSVF2rVrF1bsHSj+7ty5c6H3mzJlikyePNmceLB9+/anfZzvvvvO1DzVqVMnbvsOAADcI2GCJ6VdZTp30wsvvCCbN282xd16dmYdfacGDBhgutQCtIZp/PjxZjSezg2ltVHajh07Zm7Xy9GjR8uHH34o27dvN4HYNddcI02bNjVTIAAAkKhiLxaPvdvPrRKq5umGG26QAwcOyIQJE0wQpFMQaEYpUES+Y8cOMwIv4JlnnjGj9K6//vqw7eg8UQ888IDpBvz0009NMHbo0CFTTK7zQGmmSrvmAABIWPHod6PfLvGDJzVixAjTItEi71CaTSpKuXLl5O23347r/gEAUCrEI3NE5inxu+0AAABKWsJlngAAwOnFY4ZwJsmMjOAJAAAXYp4n59BtBwAAEAUyTwAAuJFmjSgYdwTBEwAALkTNk3PotgMAAIgCmScAANyISTIdQ/AEAIALMdrOOXTbAQAARIHMEwAAbkW3myMIngAAcCG67ZxD8AQAgBtRMO4Yap4AAACiQOYJAABX0i63WLvd6LaLhOAJAAA3otvOMXTbAQAARIHMEwAAbkTmyTEETwAAuJFOMxDrVANMVRAR3XYAAABRIPMEAIAL2XZui3UbKIjgCQAAN6LmyTF02wEAAESBzBMAAG5EwbhjCJ4AAHAhj53bYt0GCiJ4AgDAjah5cgw1TwAAAFEg8wQAgBtR8+QYgicAANyIbjvH0G0HAAAQBTJPAAC4EZknxxA8AQDgRgRPjqHbDgAAIApkngAAcCNG2zmG4AkAABdihnHnJFy33axZs6Rhw4aSlpYmHTt2lPXr1xe5/ksvvSTNmzc367dq1UreeuutsNtt25YJEyZInTp1pFy5ctKzZ0/56quvHH4WAAAgUSVU8LR48WIZNWqUTJw4UT766CNp06aN9O7dW/bv3x9x/Q8++EBuvPFGGTJkiHz88cdy7bXXmvb5558H15kyZYo8+eSTMnv2bFm3bp1UqFDBbPPkyZNn8ZkBAOBQwXiszeEkhxN27twpTkqo4Gn69OkydOhQGTx4sLRs2dIEPOXLl5c5c+ZEXP+JJ56QPn36yOjRo6VFixYyefJk+fnPfy5PPfVUMOs0Y8YMuf/+++Waa66R1q1by/z582X37t2ydOnSs/zsAABIbIujTHI4RXuctFfpxIkTpSN46tKlixw5ckTOtqysLNm4caPpVgvwer3m+tq1ayPeR5eHrq/0RQys/80338jevXvD1qlUqZKJlAvbpsrMzDTHILQBAFCaeELqns64OZzkcMqKFSvk7bfflvPPP1/mzZtX8sHThx9+GLFLSwOIsWPHilMOHjwofr9fatWqFbZcr2sAFIkuL2r9wGU021QZGRkmyAq0evXqnfHzAgCgtMufMMjMzIxLksMpmujRUhz9vR4/fry0a9dO3nvvvbMfPF1//fXy6KOPisfjiZh+O378uEybNk3KgnHjxsnhw4eDzem+VQAAzniqglibiEkShCYNMjIy4pLkcNqAAQNk69atctVVV0nfvn1NLKO9TmdtqoL69evLm2++aeqEtA+zWrVq5lJb27Ztzc7piDWnVK9eXXw+n+zbty9suV6vXbt2xPvo8qLWD1zqstB91+v6nAqTmppqGgAAZWGGcU0SpKenBxenJthvYK9evUzGbObMmfLPf/5T7rzzTlMTVbFiRWeDJ+3HVCkpKfL++++bomodwbZp0yZZsmSJWJZlRq45RR9X024rV640I+aUPqZeHzFiRMT7dO7c2dx+9913h/WD6nLVqFEjE0DpOoFgSQ+upvpuv/12x54LAACJRAOn0OApXkkOp2it1YYNG0zbvHmz6T688MIL5bbbbjNJn0WLFpmarFdffVXat2/v/CSZ2j2XnJxs/tYRameTVvAPHDjQPNEOHTqYkXK6P1qYFkjPnXvuucF04h/+8Ae57LLL5M9//rNJ2enB+u9//yvPPfecuV27IDWweuihh0xRmQZT2jdat27dYIAGAEBCOsvntks5gySHUx5++GEz+Evjgk6dOpn90rkcA4YNGyaPPPKIDBo0KGz6IseCp0DgVBJuuOEGOXDggEm1af+pZouWLVsW7F/dsWOHiS5DC8YWLlxopiL405/+ZAIknYJAo8+AMWPGmABMD+ShQ4eka9euZps6PwUAAImqJGYYH3WaJMfZUpxaZJ0DUhMmZeL0LBq9FhbBrl69usCyfv36mVYYzT5NmjTJNAAA4FySozSpWbOmrFq1qmwETwAAoPR12xUnyVGaaPJES3vOBMETAABuVELBU1mQUKdnAQAAKGlkngAAcKGSKBgvKwieAABwo5AZwmPaBgogeAIAwI2oeXIMNU8AAABRIPMEAIALUfPkHIInAADciG47x9BtBwAAEAUyTwAAuFEcuu3IPEVG8AQAgBvRbecYuu0AAACiQOYJAAA3IvPkGIInAABciKkKnEO3HQAAQBQIngAAAKJAtx0AAG5EzZNjCJ4AAHAhap6cQ7cdAABAFMg8AQDgVmSOHEHwBACAG1Hz5Bi67QAAAKJA5gkAABeiYNw5BE8AALgR3XaOodsOAAAgCmSeAABwIbrtnEPwBACAG9Ft5xi67QAAAKJA5gkAADci8+QYgicAAFyImifnEDwBAOBGZJ4cQ80TAABAFMg8AQDgRmSeHEPwBACAC1Hz5JyE6bb74Ycf5Oabb5b09HSpXLmyDBkyRI4dO1bk+nfeeac0a9ZMypUrJ/Xr15e77rpLDh8+HLaex+Mp0BYtWnQWnhEAAEhECZN50sBpz549smLFCsnOzpbBgwfLsGHDZOHChRHX3717t2nTpk2Tli1byrfffiu33XabWfbyyy+HrTt37lzp06dP8LoGZwAAJDS67cp28LR582ZZtmyZbNiwQdq3b2+WzZw5U6688koTHNWtW7fAfS688EJ55ZVXgtebNGkiDz/8sNxyyy2Sk5MjSUlJYcFS7dq1z9KzAQDAeXTblfFuu7Vr15oAJxA4qZ49e4rX65V169YVezvaZafdfqGBkxo+fLhUr15dOnToIHPmzBHbLvrdkpmZKUeOHAlrAACgbEiIzNPevXulZs2aYcs0AKpataq5rTgOHjwokydPNl19oSZNmiRXXHGFlC9fXpYvXy533HGHqaXS+qjCZGRkyIMPPniGzwYAgLOAbjt3Zp7uvffeiAXboW3Lli0xP45mhq666ipT+/TAAw+E3TZ+/Hi55JJL5KKLLpKxY8fKmDFjZOrUqUVub9y4cSaLFWg7d+6MeR8BAHAkeIq1oXRlnu655x4ZNGhQkes0btzY1CPt378/bLnWLemIutPVKh09etQUg59zzjmyZMkSSU5OLnL9jh07mgyVds2lpqZGXEeXF3YbAABwtxINnmrUqGHa6XTu3FkOHTokGzdulHbt2pllq1atEsuyTLBTVMapd+/eJtB5/fXXJS0t7bSPtWnTJqlSpQrBEQAgoXnyWqzbQILWPLVo0cJkj4YOHSqzZ882UxWMGDFC+vfvHxxpt2vXLunRo4fMnz/fFH5r4NSrVy85ceKEvPjii2GF3Rqw+Xw+eeONN2Tfvn3SqVMnE1jpNAiPPPKI/PGPfyzhZwwAQIyoeSrbwZNasGCBCZg0QNJRdtddd508+eSTwds1oNq6dasJltRHH30UHInXtGnTsG1988030rBhQ9OFN2vWLBk5cqQZYafrTZ8+3QRpAAAkMqYqcE7CBE86sq6wCTGVBkOhUwx07979tFMOaDYrdHJMAAAA1wRPAAAgCnTbOYbgCQAAtyL4KbszjAMAAJQWZJ4AAHAhCsadQ/AEAIAbUfPkGLrtAADAWffwww9Lly5dzLllK1euHHGdHTt2mNOr6Tp6jtvRo0ebM4yUNDJPAAC4UGnvtsvKypJ+/fqZs4g8//zzBW73+/0mcNLTsH3wwQeyZ88eGTBggJmjUSe0LkkETwAAuFEp77Z78MEHzeW8efMi3r58+XL58ssv5d///rfUqlVL2rZta849O3bsWHnggQckJSVFSgrddgAAoNRZu3attGrVygROAXq+Wj3V2hdffFGi+0bmCQAAF4pnt13g3LABqamppjlp7969YYGTClzX20oSmScAANzcbRdrE5F69epJpUqVgi0jIyPiQ957773i8XiKbFu2bJFER+YJAAA3imPN086dOyU9PT24OLWQrNM999wjgwYNKnKTjRs3LtZDa6H4+vXrw5bt27cveFtJIngCAABF0sApNHgqTI0aNUyLBx2Fp9MZ7N+/30xToFasWGH2o2XLllKSCJ4AAHCh0j5VwY4dO+SHH34wlzotwaZNm8zypk2bSsWKFaVXr14mSLr11ltlypQpps7p/vvvl+HDhzteb3U6BE8AALhRKZ+qYMKECfLCCy8Er1900UXm8p133pHu3buLz+eTN998U26//XaThapQoYIMHDhQJk2aJCWN4AkAAJx18+bNK3SOp4AGDRrIW2+9JaUNwRMAAC7ksW3TYt0GCiJ4AgDAjUp5t10iY54nAACAKJB5AgDAhUr7aLtERvAEAIAb0W3nGLrtAAAAokDmCQAAF6LbzjkETwAAuBHddo4heAIAwIXIPDmHmicAAIAokHkCAMCN6LZzDMETAAAuRbebM+i2AwAAiAKZJwAA3EhP6hvriX05MXBEBE8AALgQo+2cQ7cdAABAFMg8AQDgRoy2cwzBEwAALuSxclus20BBdNsBAAC4MXj64Ycf5Oabb5b09HSpXLmyDBkyRI4dO1bkfbp37y4ejyes3XbbbWHr7NixQ6666iopX7681KxZU0aPHi05OTkOPxsAAM5St12sDYnbbaeB0549e2TFihWSnZ0tgwcPlmHDhsnChQuLvN/QoUNl0qRJwesaJAX4/X4TONWuXVs++OADs/0BAwZIcnKyPPLII44+HwAAnMRouzIePG3evFmWLVsmGzZskPbt25tlM2fOlCuvvFKmTZsmdevWLfS+GixpcBTJ8uXL5csvv5R///vfUqtWLWnbtq1MnjxZxo4dKw888ICkpKQ49pwAAHAU8zyV7W67tWvXmq66QOCkevbsKV6vV9atW1fkfRcsWCDVq1eXCy+8UMaNGycnTpwI226rVq1M4BTQu3dvOXLkiHzxxReFbjMzM9OsE9oAAEDZkBCZp71795p6pFBJSUlStWpVc1thbrrpJmnQoIHJTH366acmo7R161Z59dVXg9sNDZxU4HpR283IyJAHH3wwxmcFAIBz6LZzafB07733ymOPPXbaLrszpTVRAZphqlOnjvTo0UO+/vpradKkyRlvVzNYo0aNCl7XzFO9evXOeHsAAMQd8zy5M3i65557ZNCgQUWu07hxY1OztH///rDlOiJOR+AVVs8USceOHc3ltm3bTPCk912/fn3YOvv27TOXRW03NTXVNAAAUPaUaPBUo0YN006nc+fOcujQIdm4caO0a9fOLFu1apVYlhUMiIpj06ZN5lIzUIHtPvzwwyYwC3QL6mg+nQ6hZcuWZ/isAAAoeXTblfGC8RYtWkifPn3MtAOaKXr//fdlxIgR0r9//+BIu127dknz5s2DmSTtmtORcxpwbd++XV5//XUzDUG3bt2kdevWZp1evXqZIOnWW2+VTz75RN5++225//77Zfjw4WSWAADuGG0Xa0NiBk+BUXMaHGnNkk5R0LVrV3nuueeCt+vcT1oMHhhNp9MM6BQEGiDp/bSL8LrrrpM33ngjeB+fzydvvvmmudQs1C233GICrNB5oQAAABJutJ3SkXVFTYjZsGFDsUMiZC3gfvfdd0+7XR2N99Zbb8VtPwEAKA3otnNOwgRPAAAgCoy2c0zCdNsBAACUBmSeAABwIbrtnEPwBACAG1l2bot1GyiA4AkAADei5skx1DwBAABEgcwTAAAu5IlDzZJuAwURPAEA4EbxmCGcGcYjotsOAAAgCmSeAABwIaYqcA7BEwAAbsRoO8fQbQcAABAFMk8AALiQx7ZNi3UbKIjgCQAAN7LyWqzbQAF02wEAAESBzBMAAC5Et51zCJ4AAHAjRts5huAJAAA3YoZxx1DzBAAAEAUyTwAAuBAzjDuH4AkAADei284xdNsBAICzavv27TJkyBBp1KiRlCtXTpo0aSITJ06UrKyssPU+/fRTufTSSyUtLU3q1asnU6ZMkdKAzBMAAC7ksXJbrNtwwpYtW8SyLHn22WeladOm8vnnn8vQoUPl+PHjMm3aNLPOkSNHpFevXtKzZ0+ZPXu2fPbZZ/Lb3/5WKleuLMOGDZOSRPAEAIAbleJuuz59+pgW0LhxY9m6das888wzweBpwYIFJhM1Z84cSUlJkQsuuEA2bdok06dPL/HgiW47AABQJM0ChbbMzMy4P8bhw4elatWqwetr166Vbt26mcApoHfv3ibI+vHHH6UkETwBAODmSTJjbSKm3qhSpUrBlpGREddd3bZtm8ycOVN+//vfB5ft3btXatWqFbZe4LreVpLotgMAwIXieXqWnTt3Snp6enB5ampqxPXvvfdeeeyxx4rc5ubNm6V58+bB67t27TJdeP369TN1T4mA4AkAABRJA6fQ4Kkw99xzjwwaNEiKovVNAbt375bLL79cunTpIs8991zYerVr15Z9+/aFLQtc19tKEsETAABuVAIF4zVq1DCtODTjpIFTu3btZO7cueL1hlcSde7cWe677z7Jzs6W5ORks2zFihXSrFkzqVKlipQkap4AAHAjjXusGJtDc2Tu2rVLunfvLvXr1zej6w4cOGDqmEJrmW666SZTLK7zQX3xxReyePFieeKJJ2TUqFFS0sg8AQDgQvGseYq3FStWmCJxbeedd17YbXbeY2ph+vLly2X48OEmO1W9enWZMGFCiU9ToAieAADAWTVo0KDT1kap1q1by3vvvSelDcETAABuZKYaiLXmKV474y4ETwAAuFEpnmE80VEwDgAA4Mbg6YcffpCbb77ZzDOhJwXU6vtjx44VecZmj8cTsb300kvB9SLdvmjRorP0rAAAcIgVp4bE7bbTwGnPnj2mQl/nfBg8eLCpuF+4cGHE9XUqeV0/lE7ANXXqVOnbt2/Ycp1fIvQEhRqcAQCQyErzaLtElxDBk07lvmzZMtmwYYO0b9/eLNNz4Fx55ZVmfoi6desWuI/P5yswA+mSJUvkN7/5jVSsWDFsuQZLJT1bKQAASAwJ0W2nZ1bWACcQOKmePXua2UjXrVtXrG1s3LhRNm3aZLr78tM5JHT+iA4dOsicOXOCc0wAAJDwBeOxNiRm5klnHK1Zs2bYsqSkJKlatWqxz6z8/PPPS4sWLcz5c0JNmjRJrrjiCilfvryZjOuOO+4wtVR33XVXodvKzMw0LeDIkSNRPycAABzFaDt3Zp707MuFFXUH2pYtW2J+nJ9++snURkXKOo0fP14uueQSueiii2Ts2LEyZswYUxdVlIyMDDPzaaBpfRUAACgbSjTzVNyzL2s90v79+8OW5+TkmBF4xalVevnll+XEiRMyYMCA067bsWNHmTx5sskspaamRlxn3LhxYefW0cwTARQAoFQh8+TO4Km4Z1/WMysfOnTI1C3p+W3UqlWrxLIsE+wUp8vu6quvLtZjaV2Unq25sMBJ6W1F3Q4AQInTaQY8cdgGErPmSWuVdCqBoUOHyuzZs81UBSNGjJD+/fsHR9rpGZp79Ogh8+fPN4XfAXrSwTVr1shbb71VYLtvvPGG7Nu3Tzp16iRpaWlmGoRHHnlE/vjHP57V5wcAQLwxVUEZD57UggULTMCkAZKOsrvuuuvkySefDN6uAdXWrVtN91woHT2nZ2zu1atXgW0mJyfLrFmzZOTIkWaEXdOmTWX69OkmSAMAAEjo4ElH1hU2IaZq2LBhxCkGNJOkLRLNZoVOjgkAgGtQ8+SYhAmeAABAFCxb+91i3wYSc5JMAACA0oLMEwAAbkS3nWMIngAAcKV4nF6F4CkSuu0AAACiQOYJAAA3otvOMQRPAAC4kRkpx2g7J9BtBwAAEAUyTwAAuJFt5bZYt4ECCJ4AAHAjap4cQ/AEAIAbUfPkGGqeAAAAokDmCQAAN6LbzjEETwAAuJHptYs1eIrXzrgL3XYAAABRIPMEAIAb0W3nGIInAADcyNI5mqw4bAP50W0HAAAQBTJPAAC4Ed12jiF4AgDAjQieHEO3HQAAQBTIPAEA4EacnsUxBE8AALiQbVumxboNFETwBACAG2m9UqyZI2qeIqLmCQAAIApkngAAcCOTNSLz5ASCJwAA3EhnB/fEWLNEzVNEdNsBAABEgcwTAABuRLedYwieAABwIduyxI6x246pCiKj2w4AACAKZJ4AAHAjuu0cQ/AEAIAb6QSZHoInJ9BtBwAAEAUyTwAAuJHJGsU6zxOZp0gIngAAcCHbssWOsdvOJnhK7G67hx9+WLp06SLly5eXypUrF/tFnzBhgtSpU0fKlSsnPXv2lK+++ipsnR9++EFuvvlmSU9PN9sdMmSIHDt2zKFnAQDAWaLTDMSjOeTqq6+W+vXrS1pamvmdvvXWW2X37t1h63z66ady6aWXmnXq1asnU6ZMkdIgYYKnrKws6devn9x+++3Fvo8e5CeffFJmz54t69atkwoVKkjv3r3l5MmTwXU0cPriiy9kxYoV8uabb8qaNWtk2LBhDj0LAACgLr/8cvnHP/4hW7dulVdeeUW+/vpruf766yXgyJEj0qtXL2nQoIFs3LhRpk6dKg888IA899xzUtISptvuwQcfNJfz5s0rdtZpxowZcv/998s111xjls2fP19q1aolS5culf79+8vmzZtl2bJlsmHDBmnfvr1ZZ+bMmXLllVfKtGnTpG7dug4+IwAAym633ciRI4N/a4B07733yrXXXivZ2dmSnJwsCxYsMImTOXPmSEpKilxwwQWyadMmmT59eoknORIm8xStb775Rvbu3Wu66gIqVaokHTt2lLVr15rreqlddYHASen6Xq/XZKoKk5mZaSLi0AYAQKlSyrvt8pfQaLCk5TkaOAV+o7t162YCpwDtPdJM1Y8//iglKWEyT9HSwElppimUXg/cppc1a9YMuz0pKUmqVq0aXCeSjIyMYCYsVI4/U+wcj9i2VyyvT2yvR2zxmEtLLy39W3Kv23opIv7cZZZPxPadWm578m3ck7vMLM+7XWfd139U2Nm5TbLt3GX+8BESZpm+/wOLPHmPnfcYZls6HYhfxJtji8dvi1e3ZeZX0xv0OeXtp6Urn7rM3YBuP/exvf68B7FPbcvO8YsnxxKv32/mHdFlerZvj98SMcuycs/+bfbNPIhZbm7KSZKcHJ9YHq/k+Lxm3IgeS318v1dENyF5x888L3McRSy/iK3318fX4+WzTZOc3EtPkiXis8STnHsQvcmW+JNzJCcpWzxev9jeU18Ylj53O/c19Fte8ft94tfX2M7bD7/XXOp10dc4cAj08by6Xb94fJbkeP3i8+VIdnK22b435F+EOTmW5OT4Jcfvzz3W5nhbkpOdadbPTsoSS/fAmyOW1xKfvrM8liT7siUpKVuSvDlie3PEm/ci675mmadri2VebJEcT455TNuTk/t33jicTNsjJy1tPsm2Lcm09K1kmeej63u92eL15ZjHyPH4zX3NY5i//ZLs9Us5nyU+ry1pPiu4D9Ewj2tb8pNtyUnblmOWJSdsS074/XLC8kumeCTbts1zytJ99WdLpj9Jsvy2ZOX4JDvHk3sM/T5zDM1rZPnMa+PPzhEr2ydWdt6b3vweeMTj9+hBEY823Qm/J/g58Vh5f/tD3uP6WcvJ/ZzYWbnvL3M97/NlPndZdu6J7P36Ps/9XOjnx2zWm/uB0WVe85m1xKufi5y845X33ZD7vaGPF/g8596u180Nutx8XvVzpOuceq/aXj36ud9BuQtOraufN/OZM595T+72Avfz5B0XW++vnzOveQ+aA2M+y5Z5LL0MbiPfuoGHDJ4NJOQ7zHw/5D1Xj9+fu428Y63b0L/NsQp855g7Bb4/vSJ5xy73OQYe2yN+jz5+3mdP1zfHMPD9dmqfAt+fwe888x166jss9zsiZJ2819rW1ybr1Hdc7u259wtuO3gMc5f59fXWp6fvj7zvpdz7576H/Fknz1ohdo7oGy0O28jrQguVmppqWqzGjh0rTz31lJw4cUI6depkymcC9He4UaNGYesHftP1tipVqkiZDJ40RffYY48VuY52rTVv3lxKk3HjxsmoUaOC13ft2iUtW7aUNZ89XqL7BQBIDEePHjW9IU7QTE3t2rXlP3vfisv2KlasaIq1Q02cONHUH8X6uz569GgzUOvbb781SYkBAwaYAMqjQWopVqLB0z333CODBg0qcp3GjRuf0bb1jaP27dtnqvgD9Hrbtm2D6+zfvz/sfjk5OSZ9GLh/JPkjbn1j7dy5U84555xS+YLrvxj0ja/7qKMKUXwcuzPHsYsNx8+dx04zTho4OVlTqyPTtHRF64Xitc/5f9tSC8k6Rfu7Xr16ddN+9rOfSYsWLczr9uGHH0rnzp3N77D+ZocKXC/qN9r1wVONGjVMc4Km+vTgrly5Mhgs6QdKa5kCI/b0xTl06JCp4m/Xrp1ZtmrVKrEsy9RGFZfWSJ133nlS2umXSGn7IkkUHLszx7GLDcfPfcfOqYxT/gBKWyL9rlt5XdBaVxz4jb7vvvuCBeRKR8Y3a9asRLvsEqpgfMeOHabKXi/9fr/5W1vonEyaBlyyZIn5W6Pku+++Wx566CF5/fXX5bPPPjPpQI32tZpfaZTbp08fGTp0qKxfv17ef/99GTFihBmJx0g7AACcsW7dOlPrpL/j2mWniYsbb7xRmjRpYoImddNNN5kuSO3W0ymFFi9eLE888URY2UyJsRPEwIEDA6eHDmvvvPNOcB29Pnfu3OB1y7Ls8ePH27Vq1bJTU1PtHj162Fu3bg3b7vfff2/feOONdsWKFe309HR78ODB9tGjR203OXz4sDk2eonocOzOHMcuNhy/M8exK/0+/fRT+/LLL7erVq1qfp8bNmxo33bbbfZ3330Xtt4nn3xid+3a1axz7rnn2o8++qhdGnj0fyUdwMFZmgLVEYJa6B6P0RFlCcfuzHHsYsPxO3McOziN4AkAAMCNNU8AAAClAcETAABAFAieAAAAokDwBAAAEAWCpzI8GkUnD9X5sHSeDRRt+/btZq4RnXy1XLlyZi4SPT1BvGbwdaNZs2ZJw4YNzUR9OumszqWGoukIsYsvvticrUDPu6lz0ulJUBG9Rx99NDjfHxBvBE9l1JgxY5gINApbtmwxs98+++yzZrK2xx9/XGbPni1/+tOfSnrXSiWdzE4nstMA86OPPpI2bdqYs6HnPx0Swr377rsyfPhwc3oKnUlZZ1bu1auXHD9+vKR3LaFs2LDBfFZbt25d0rsCl2KqgjLoX//6l/lhe+WVV+SCCy6Qjz/+OHgKGxTf1KlT5ZlnnpH//e9/Jb0rpY5mmjSDojMIKw089ZxVd955pzlxKIrnwIEDJgOlQVW3bt1KencSgp514uc//7k8/fTT5gwT+t02Y8aMkt4tuAyZpzJGT6qop6P529/+JuXLly/p3Ulohw8flqpVq5b0bpQ62pWp54vs2bNn2Pkf9fratWtLdN8S8T2meJ8Vn2burrrqqrD3H+CqEwPj7NIko57t+rbbbpP27dubOh6cmW3btsnMmTNl2rRpJb0rpc7BgwfN+Sdr1aoVtlyva/cnikezdVqvc8kll8iFF15Y0ruTEBYtWmS6ibXbDnASmScX0G4QLYwsqumPlv7YHz161JyyANEdu1C7du0yJ5Tu16+fyeIBTmVQPv/8cxMQ4PR27twpf/jDH2TBggVmkALgJGqeXFIX8f333xe5TuPGjeU3v/mNvPHGGyYgCNAMgc/nk5tvvlleeOEFKWuKe+z0zN5q9+7d0r17d+nUqZPMmzfPdEehYLeddgm//PLLZrRYwMCBA+XQoUPy2muvlej+JYIRI0aY47RmzRozwhOnt3TpUvnVr35lvs9Cv9/0+04/pzrCOPQ2IBYET2XIjh075MiRI8HrGgjoCCj9kdMC3/POO69E96+004zT5ZdfLu3atZMXX3yRL+Ii6PupQ4cOJtsZ6IKqX7++CQooGC+cfh1rUf2SJUtk9erVcv7555f0LiUMzap/++23YcsGDx4szZs3l7Fjx9L1ibii5qkM0R+vUBUrVjSXOmcRgdPpAyfNODVo0MDUOWnGKqB27dolum+lkY7m1EyT1tZpEKWjnXS4vf6YoeiuuoULF5qsk871tHfvXrO8UqVKZn4xFE6PV/4AqUKFClKtWjUCJ8QdwRNQDDrnjhaJa8sfaJK8LeiGG24wAeaECRNMAKDDxZctW1agiBzhdOoLpYF6qLlz55rBHgBKB7rtAAAAokC1KwAAQBQIngAAAKJA8AQAABAFgicAAIAoEDwBAABEgeAJAAAgCgRPAAAAUSB4AgAAiALBEwAAQBQIngA4qkWLFvLXv/61pHcDAOKG4AmAY3766Sf56quvpE2bNiW9KwAQNwRPABzz+eefmxMnc1Z7AG5C8AQg7jZt2iRXXHGFdO3aVSzLkvr168uMGTNKercAIC6S4rMZAMj19ddfy2WXXSajR4+WatWqmeDp4osvlpEjR0r37t2lbdu2Jb2LABATMk8A4uq2226TX//613L//ffLjh075JJLLpExY8ZIenq6vPfeeyW9ewAQM4InAHGzd+9eWbVqlQmg/H6/fPbZZybT5PV6xefzSUpKSknvIgDEjOAJQNx8+OGHpptOA6atW7ea0Xb69/bt2+XHH3+ULl26lPQuAkDMCJ4AxE1WVpa5PHnypHz88cfSoEEDqVq1qsyePduMuGvVqlVJ7yIAxIyCcQBx07lzZ0lKSpJJkybJsWPHpHHjxvLUU0/JzJkzZc2aNSW9ewAQFwRPAOKmXr16MmfOHBk7dqzs2bPHBFInTpyQZcuWSbt27Up69wAgLjy2zmAHAHGm3XXz5s2Tq6++uqR3BQDiiponAHH33XffmQJxZhYH4EYETwDiTqcoqFChgjRq1KikdwUA4o5uOwAAgCiQeQIAAIgCwRMAAEAUCJ4AAACiQPAEAAAQBYInAACAKBA8AQAARIHgCQAAIAoETwAAAFEgeAIAAIgCwRMAAEAUCJ4AAACk+P4/PGGMp5SQzXwAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = ax.pcolormesh(x, y, spline.evaluate(x=X), vmin=-30, vmax=30)\n", "ax.set(xlabel='$\\phi$', ylabel='$t$', title='Model of Synthetic Spectra');\n", "cbar = plt.colorbar(im, ax=ax)\n", "cbar.set_label(\"$y$\")" ] }, { "cell_type": "markdown", "id": "6f2139e1-91b7-4378-8cb0-0dae789ca2d0", "metadata": {}, "source": [ "Here we've fit our model to the mean of the data in $y$. Now we can calculate the gradient of the model with respect to $x$." ] }, { "cell_type": "code", "execution_count": 192, "id": "bfae947e-b459-4570-ab1b-1cdcd2b9b686", "metadata": {}, "outputs": [], "source": [ "dspline = spline.to_gradient()" ] }, { "cell_type": "code", "execution_count": 193, "id": "5205b7e2-b4f3-445b-a278-aa7a266b105d", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = ax.pcolormesh(x, y, dspline.design_matrix(x=X).dot([1]), vmin=-30, vmax=30)\n", "ax.set(xlabel='$\\phi$', ylabel='$t$', title='Gradient of the Model of Synthetic Spectra');\n", "cbar = plt.colorbar(im, ax=ax)\n", "cbar.set_label(\"$y$\")\n" ] }, { "cell_type": "markdown", "id": "f82929bb-fab6-4b10-993a-1a48a3638b3b", "metadata": {}, "source": [ "Now to capture the shift we need a model for the shift as a function of $y$. We'll pick a simple polynomial with an order of 1. " ] }, { "cell_type": "code", "execution_count": 194, "id": "dcf0862b-36b0-4d55-b901-fc87117f959f", "metadata": {}, "outputs": [], "source": [ "model = spline + (Polynomial('y', order=1) * dspline)" ] }, { "cell_type": "code", "execution_count": 195, "id": "c3946edf-3eac-48bd-a9cf-b82778f11ec3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "JointModel\n", "\tSpline(x)[n, 202]\n", "\tCrosstermModel(x, y)[n, 1]" ] }, "execution_count": 195, "metadata": {}, "output_type": "execute_result" } ], "source": [ "model" ] }, { "cell_type": "code", "execution_count": 196, "id": "8a91877e-3dad-476b-b75d-258d632d2361", "metadata": {}, "outputs": [], "source": [ "model.fit(x=X, y=Y, data=spectra)" ] }, { "cell_type": "code", "execution_count": 198, "id": "c40bafe2-8a60-40fa-b5b8-acd8ccd51015", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = ax.pcolormesh(x, y, model.evaluate(x=X, y=Y), vmin=-30, vmax=30)\n", "ax.set(xlabel='$\\phi$', ylabel='$t$', title='Updated Model of Synthetic Spectra');\n", "cbar = plt.colorbar(im, ax=ax)\n", "cbar.set_label(\"$y$\")" ] }, { "cell_type": "markdown", "id": "774c8d6d-9e20-4daa-904e-058f7990cd28", "metadata": {}, "source": [ "Now our model captures a small shift in the spectrum position as a function of $y$. We can look at the residuals and see they are small." ] }, { "cell_type": "code", "execution_count": 199, "id": "a2d0d1fc-63b9-4af2-861a-78890aa633e4", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = ax.pcolormesh(x, y, spectra - model.evaluate(x=X, y=Y), vmin=-3, vmax=3)\n", "ax.set(xlabel='$\\phi$', ylabel='$t$', title='Model of Synthetic Spectra');\n", "cbar = plt.colorbar(im, ax=ax)\n", "cbar.set_label(\"$y$\")" ] }, { "cell_type": "markdown", "id": "c310b4e9-8ac0-4bae-89f0-a5cbe1c23c03", "metadata": {}, "source": [ "We can use this to build a model of the displacement in $x$ as a function of $y$" ] }, { "cell_type": "code", "execution_count": 200, "id": "deee125b-19f4-4f39-803a-38677161b019", "metadata": {}, "outputs": [], "source": [ "dX = Polynomial('y', order=1, posteriors=model[1].posteriors).evaluate(y=Y)" ] }, { "cell_type": "markdown", "id": "1f06dcd6-2465-418b-a3c3-28b97134775f", "metadata": {}, "source": [ "This can be used to translate our data to remove the shift" ] }, { "cell_type": "code", "execution_count": 201, "id": "8fedca2f-f2b7-4767-89d5-154d2b7f4889", "metadata": {}, "outputs": [ { "data": { "image/png": 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aAmqY+PkEfRXVvsF5h2uCz+ks99HjHvc4q1/7wAc+EG2H7V7LOZeef3hn/P7v/37vMhSKowFlnhQe8PIE5gRckGHUB35N8EMA4lMwgYQfVEj9wAF+MPCDCuJP+IGFDgTQ+09/+tP9SBb8k/7X//pflnmCKS0YSb7jHe+INE8wVQOjTtA8wHQObAedLtCE0PQdQPnDMuiAwHQJtAE0GPC59NJLbXvuda972TZAHdAu+OH7zne+Y1/6AJh+AYbokY98pHVohpc9dBKRGVoLoJwugFcR/EDB9CT43MDIHzqcYB4J5w7F93Cuv//7v9+86EUvsp0YOF44N5Luo+8x9wVcr49+9KO2zF/6pV+ywnVoM0ydveY1rzFrAZxr6JjCtQUfL+iof+UrXzFvf/vb7dQM+vwg4L554hOfaH7v937P/qhSgf2sAFYHyoCOGJw/0FPBvUj9kLoA08jgdwT3KFw7OAboDEJqGrh+cI2gs9d2b3LAc/K///f/9mLvn/zJn7RtA7YNfI6gI54CsHJ3vOMd7X0CHXdoy9/+7d+av/7rv7YeS/xZhbrgekIAAlxHuNdAU0inIfveR3Au4JjBPwuE63AuQHAO5weeV2CToU3gyQXf4Z6G5wsE6tDmFMA8FVhImG6EAApgr+C+mWUKVqE4KtjSWD/FMQkIoX/gAx9ow7IhXBvCysEXhocJY9j7n/3Zn1UvfvGLrR0BhEM/+tGPrr797W9H5f7+7/++9wq63/3uZ0PDIWSZWhVAmDP4AUH4OGx33/vet/rQhz5UPfnJT7bLKD71qU9V5557rg3V5qHhEGIPHjzgJQN+SmCn8GM/9mPVX/zFXwRlfPGLX7T1gzcVbAPh6BgCPotVQRu4VQHguuuus1YGJ510km0/hIdLId033XRT9XM/93PV3r17rYUC/A0+OlIIeJ9j7mtVAPjc5z5XnX/++dY+AcLEIRwezjnFLFYFcK6f//znWw8l8BgaDAbWRwp8fKAuCZ/97Gdt+Y94xCPE9XBPwP3Gwe8rwFvf+lbrKwa2AvQczFIG+BvBvQ62FHDd4PpBGP9rX/taazfRdW9KPk+At7/97fZeh3sevKyg3o9+9KNVG+C5e+ITn1jd+c53ts8d3MPgz/S///f/DqxD6DX6nd/5HesNBfWA5QX6T1H0fXbg3rzwwgvtejhO8DqD5/TGG2/02/zlX/6lbRNca3rPwvGB9YmEf/qnf7LvHzimM844o3rBC15QffjDH+593yoURwMZ/N/R6aYpdhpAnwCOzRDCDfYECsVGA5gOYI1gavjnfu7ntro52xLAiAHb89u//dtWDK5QKNYP1TwpFIpjFpDgFnRgMJ2lUCgUxwpU86RQKI45gG4HItBAg3bhhRd68bFCoVAcC9DOk0KhOOYALuogVIaIQ/AsUigUimMJqnlSKBQKhUKxIXjzm99sP2hzAt5sEMWNlhjLy8vmec97nnnve99roz7BkBWsKCB903aCdp4UCoVCoVBs2JR7URQ2awB0LyDdFgQr/Ou//qvtSIFVBqTbAp8/SMED0/LgdQZWLdsJ2nlSKBQKhUKxaTjhhBNsBwqissEwGcx2MUIbshZAzkzwEoNE7dsFqnnaAIAz8NVXX22N4DYiDYRCoVAodiaAr4CMDGCCupn5L2F6jGZ0WG+b+W/b3Nyc/bQBMiKAlQ0YuJ533nnWFBjSctH0P5BQHRJza+fpNgjoOG1kri+FQqFQ7GxArtDv+Z7v2bSO0x3vsNtce/10Q8oDuxCa4QHzjb785S83EsB1HzpL0A7YF9L4gOv+5z//eZtZAJznKUDvBCmrthO087QBwHQaD/neC82gmDPl4sjkK1NTzg9MOcxNlWemnCtMWWQmn9azpJP53Iz3FMZUxuTjyuSTykwWcjMdGTPenZl8bEyxWtl9V3cbk0Haq8y45bC/MWOI3s6MKVZgaGBMPqk/w8OVyaZQpjHlKDNlYczwUGmm87kplktTDrO6PGhKZsx0LjNVYczc/tJMR5mZLGS2jGKlNNmkMoOliSlHhcknpVndM4CMn/YYoFxo4+rewmRlfVyj/VNTDTJ7PFWRmXKQmSqHNk3NcP+KycalqeYKk01KGM6YcjQwg+tvNaacGjOeGjMsTHXwsMkWF4zZtWiquaHdbun03dBUs3zCwB4blLlyfO6PYekkY4YHjcmnxkwWjMmmxkznjZnsqcx0VJmsMiab1O2uBpWpdk/M7uOXzOGDc6YqM1OMpmZufgJVmTP23WrKKjP75lbM0mRgrj2018wVE3Pa7oPm4OrILE+G9gPbHD48Mnv3LNtyl1eHZunQyGR5ZcpJbhb3rpjp1J2rKjN7FlfMKYuHzPxgYm5cWjQLg7HZM1w1g3xqJmVhblmZt9vdfGSXWV4dmEFR+rbsGo7N2XuuMSvV0Hzz8IlmlE/N3XdfY65d2Wv2DZfNaaNbzYnFIXNCcdDcPN1jbpkumgPTBTOXT8xpg1vN1ePjzUK+Yq5b3Wf2DpbNQ3d9xVwz2WfGVWGum+4zS+XIHJgsmBOHh8yh6ZxZKYe27HFZmHP2fNfcMlk0D9r1H2aUTc03xyeb0mTm0HTB3Hf+W6awN5Mx3zdXmEPlipnLBmaY1TnK+uDbk0NmPsvMcfmcWarG5ruTzORZZf5t5Qx7vIiTikPmcDlnvr16olnMx+ZLh04342pgVqcD257rj+wyS+ORPV94vb783dNMNc1MVWWmXClMNs6NWZzYe6Zazc3g1oHJx5kph5WpBsaUg9IMDhUmdwN2ODS4z8uFyhSHM/usjQ4ZU8FzMzJmdNiY3D2n5bB+hgZLpf0O9xw8S3CPwnOyfEJhn7PdV43tewCemcGhsa1n6ZR5u42t093f9l1RQhvqbctRbp9HKBuexcH+JWOmlVk9dbcpliYmH0/tM7d63Fy9DbwDVqZmeMuSKeeH9tkz8Dxm0LbKTOcHZnDzkjFFZqq5gVk9bt4ut+uhDUX973QuN3O3rJj8yKqpisKUi0P7XE92D02xMjXTucIMD47tOYFlgyN1jr8ptBeeu7Juh23jkfrElgtDM10c2nYWy/X2xc2HTLVroX5Xzg2aNozLur1zcF1KM10YmPHuwpYP7zd4aIeHS9tOeLfBdYD2wf7FSn1Op/OZfc9lcOmtV3ndLth/CtsP62s9OOL+XansuYZ3KFzn+sJk9m9YD++ZclDfB/Ddvo/21u/RyS64J+CdV5f76Vc/K7jfDxw4YAfb+LuxGQDGCTpO377iLLN3z/rYrQMHS3OHc79lO3s0p+VcC+sEeRWhowSpkCCND6TbgfyUOwnaedoAIJ0JHSfbeRrMmXwyMeUAXjK5qQa5mQ5zk0PnyT65kLgLHnzodIBTaVUvH+bGjOoOTw4dJXgv5MZku+oOEwCXF7Ad3LvwN7wL4N9V+x40xVxVd8jsCz4z8Ds2GFUmL4zJh1XdecIBCTR9VHdwBsPSlgXtGAwrU5SlbVsxmJiqyE1mYF/WeTLQOSnqF30F9bjOk4Efo6bzNCimZgAvwhJe8IXJqrrzVBUDU+RzxpTwAoWe4ZypsrExS1OT7Z0zVVH/eA5G8/WP0GhQd8zgx2U5M6t74O1lTDFfHz+81Kq5uvNk5oyZLlQmx87T2HWe4IdycWKKxdLk03n745rPTU0xP7adp8GuOfsDPJyrzMp4ZIpyzgyHuRnuGpnBcM4MJkNTjIcmqzJTmDmTQ2ctg/M7NPl0zmSQ/WOSmwLyw07rF1cGHbRFY4pdYzM3yMwgnzOjYWbgdELnKSsLMxjU9ebVvCkGAzMYTJu2DDMzt3topuXIzGVDM8ozM797aEbDkZkbTs38aGCm2S4zP1o2c5OBWZhCp2JoFvPKLA4LM786MAv51OQr82Z+ODG7d+dmcVLYztPCZGCqcmBWJkMzP4R/5wz8CkDZBdS9e2jmJkOzsHtg5jNjFlYHdr/5cmB2LcDx5bZTtRd+3MrczGX5TJ2nPZPcdp725rnJq8zstR3OzNxjcb/5+upptmM0rXJ7HJPpwCyOCzPM4FGBh2BgKtd5GmRzplgd2esyGBSmWFw1xa45Mx3D/QbNLEwGz9iC6zwVuclXBva5NCO4F+FGgx/M3BTu9waeT3soc5UZQKcOfuRX3Y/myJhiXD+/8OM8KKHvX5oCyoL1UKd71rJRZQZF/WM/GBb2ebedpwIGV/C8zZm8cvdpXu8P36FC33ka1M+g7RiZ0tQZT0pTDuB+mZi8nNh3Dbx/oNNh3ytwDxWlKYuRffbgwOxAaHVq8nxg7z04D+VgZIbwUrHvErgHodzc3tdwzgbw7oCxSjGw28JzXYxzUw1HJivq8w1tNsOhGQzqzlAG+7tOSjGG+lbrcw2tHoxMNnCdJ7d9kY9NBe/PIbw3C1u3gUEZvHLg3Azg/ipNNhqYCs6hfa/CO6Wy7y5oJ7zbbAfHdZ4GblCXw8vQvVfrg3TnFTpfsL3rPBUwAIVOF5x6eKbhOrhOEpxT47aD90zGOk/DIrMDtmrk3tHj+h5JJdE+GhKP3Xsy+1kP4NkCwHH0TQg+Go1sLkUA5D2EXI2/+7u/a/OaQscOkkVT9glsSU477TSznaAO4wqFQqFQ7EBMq3JDPhuhC15ZWbEdKUj4/bGPfcyv+9rXvmauvPJKO823naDM09ECH2Ww7zBKqv/g+0llCYscFW1Hf51tMWsCjEjtv3Y0LBQLy/zQzrXFBnPWy2D0GGy/OjHVCIZvpLAMhrdAMUElzRRDTaO5aQ030sPjaDvmYiWzTJMvvibI4rbbUWblR1kUsBymgQDAArUBpof4cUqwrIBrSWkPxphRMTXLk0HQHtoGwG47R8uOEdgHe1Hq73uLZXPrdDFdd1aaa6f1CHKaGD/hcRZwTlz7/DqTmSPlnC2Ht6/eZ7YxWWpr4D0Bw2xqVmFOzS0DtnNWwHWJF9asJQDYIWCeyGE0wPuMNxSfN3ufu+95ooo2lqHreeTPDXzn9xiWAfVkMBVW1kwJLoPbA5he3y6YYiIVQ7vt8xs/pxZ4qfk5wGN39ViGhhwrTKUNluDk1hv55xn+dVKEpqz2E2GvDSu/7759ANNw+B71IO8vu80Qpm759SD3AbbT/mG2HCXMFqzheeFlzIIXv/jF1tMJROAgjIfIOsiD+uEPf9haEzztaU8zF110kY3AAyYLDHGh47SdxOIA7TwpFAqFQqHYEFx//fXmggsuMNdcc43tLJ1zzjm24/QjP/Ijdv3rX/96G2X4uMc9LjDJ3G7QztMmgY+OYGQCoxbQ6zQL3T90NFfFoxdxNDwDcH8cfIPAFUeJvI3RKNuNEsMNsWA37CSrgzL7jLwSLE3m2It8ZWxKEI3TYyHHY7+7UXF0nigT1+McWr1R4mRTRoqyT1aX4bBrbtUcOTjvl0NZUqwL1sHrwnJ3z6+YWw4tNmwYqQ//5mzQ1GReuD2tMs8oUXaIs1Up1qkuLzejfGJWy4EtO4Wby93muPyIWQ+AAKEtsTo60Dmxeu1xVbk9Jn78x4+OmGsPhwJcOFf+1rX3jfww+dOb1VqjYDlnE4Id248rKssBxM5z+2smsy48fleAFohXYFmbviyAY5A6243PN7LKyAzZdjmdD7JdlimqBdp19Erd1tXjCjM8XOvI5PPgVvBbkbE6ZlpKpGA7k0vWWfbe/qKRMn176+MGPRTqR6PzURF2aZyok75Lw1df0PacvXO3CqX9b/1lzIK3ve1trevn5+fNpZdeaj/bGdp5UigUCoViB2IKUYrr9MFe7/47FSoYP1rsE2NAohGJOI8vbVdrMzohjGb5OrQXWM/dUmscmpFYrNmqQ7XF0SOsA/0S2BLg+kAzhVQZMFCSyCrWLNQ7snX0O2mGpF+iTBJfDyzQ4qAOLecA/ZJlp2CA7iLs2gDbIvNE6wFtDupzaFvaQBksYGYQc+BrkdrHnQhgoFrLNpXVHMV11vtB1Bctp4BIrTW8VmC/uv2VZZ4s+1Tlnk2Dc3SwXLDnDZkpzkoBBnlzPF36tNbTS9dx4tU9f8EjxRjRuLK4bMsuef0eoVoo+p5K6f1RMuY48SMI0X61tUL6hIB1QLSfY6zs7QEsF9iPcGknKRLLt3qrljaJ701cB0xYQr7WvNcS64OGxds0G7esS+3imTuyTH9ddzT08h4N8Km4HgAbAL5/VJ59abVUmwvrO16kURlUVJrAYMkJuZlgnf49WSi6xZ0QC+07TM00QiSup9OdVbfANDgevOO9lta1nU6rTIvk1Bz8eEPnxv9Ii9rVBJ+Phym83WkHqJ5uqsxkWoe08+k9LzQ3mfVxqveRH2Xo1ByE+OlgWeU7JbgNB+94wPY4zYcdNNivXp5Z64K1oiAna18OQnTXBrIc6oaOGu0cIuqpza5XGV5wCD13x8vunWjKOejwZMlnFH84pec7uFdTU4AdwSTi0RABN/gn4X7Nj3hHGXi6cACVga2IW5joT6PQu1lABk38NEXC8mYg5P9NPLv5KpnSFID2AH3fYeExdKwjHWAbg8HE8NE++A7m98sxAhSMr/ejiKHTdgqFQqFQ7EBAx2d6lKPtbitQ5mmTkE3ZVAeZjqo3aBkFkdGPIxY2vn2UTi9bpgn9cjeqpfQ0EZYCJuCgGIxMCXvj2bdmpGspfytqTQ1BwzbYdpBlnaPrBOyo0rmNc/CpMmlqLVkuVRgDgzVpZ2OgbDApRIYlxXZR9kkSeSOLVE8d5n4bZGMoy4Tl8HB//h3KqQX0pV+3f7qLbB/SEziNNt4AT5imzPhY+bEFbbZTnm67MrPn1Z9Hyw64aSM8z8TCog29RL88xJ0jYLFCYXqOzBGpL5zuIlYmLWUjS4y3IZ0mw3rjdtfPH2dkUyxKtrza+R4LnmcqDUDRORyzcxqPSNiN0tdYqUB7O+3iluwlfnt2LSSgO7zitgNlnhQKhUKh2IHYCp+n2wqUedosMPFiyqOv3mjGov08vCsn7zkK46JGxgwFbez7vLQI0+Vj5iIkZ/hHGKlsfi7USAj7WEau67wRtqFpb9NsOsiVtE9J2wLCcJQudx0uxzpsWgtfZhUYY0pWBRNyEX1kNdbRQX1AmYt5bJ7Zdgwo9E4BBdgUwDbBficMDoWWB+tUxuYkogfCooHpGle5Lxf+BaapNuxsLAxQ79V2jiDViT3/qcjzbDaRt/+bPLt4+DTEn++PusB6O1LFWpmW8Oat2yBdUv7sQHqTVPAGbgK5b3j78Bl1ASA2RRJaGQB75dnrRnOFKZuaYI2wzcljpzpHrndEuwTe7oSeLHKnSOjSsP0zXw/+vvPHKmsutyrabr0fRQztPCkUCoVCoVDMAO08HS2kolK64EYwrduj3mKWq5kKxXYjSxFU50SLouxQqp2gfaCGduOprItASghGpis1s1DrrYRDSI0qGSPXGuXIyrUJW4XoNtDJWE1R14WbYZBWl1drixCg06m1Os02iEPTOIs51/4sZivRcloGYJbIuDBFDNoGgFFlzaDxstcCtClo2lvD6reQfbIWBXXEH9SPbBSCRuYhQVIzhAIzypoMSV49yPFSZriySXgT0ZXIEPaITK0LFhbRdkn3uvRso6aJaQOLlTIsjxre4mZgK4DLmAYL0XY81F6BRqSFx0SuiY2uiw8cEgwndaG4L2Zp9uVKG8UsYiurKL0XpFuZsEd1hF+8f8AktmiotgLlBn0UMVTzpFAoFArFDsR0A6Lt1rv/ToUyT0cJgyPT1jl1PjoS58txNNnnXub6Cx950xJ5gvKGHneFZLBJGTL4F4+5XkD+pHoGfj5g9Nkxx27rcb453hiTgbajz/GMV9LjCJ4sONW8YLnTPQV1OGMgZGsCVsexWguDcc1yCRcIU7VAhB4FRtM1hpLNAaMXE0fg8ySs3zdYitgrjLDDiLeVsk6bIyVTXiuovoLqrrAt/l+WLgdZpiiNDhZXbFwUV3J5y2nwCXNLOYqLolgF58z29pZDclOTyFULxwqVo44bn2mQsJ0So1JXGi7wz7jEqFMNEi8HWStSPxh1draTvtNmvOXQyFfSRNl/id6rS6tkNVJVD3brGOhzgOxsIz6KGNp5UigUCoVCoZgB2nnaTAisR53ws9EL1AvJLqkAlN4L29dj+eDJ1CnfcS7APPUAbSOzNhIjYehIrdnPeRtB0l8abWcXQjgPCpay2HFY0IaI+W/7jFB9kF8TGSexPsBiHJkMm8S8QsGWMRpOI8YJdTdY7v7VBe+hJNVD4SPzrCu4i0gjN1UqaS+kZmlL6MtdxlPbHp40OiusnzJCUMZx+ZJZD2ikXV0mtgli++ovEOEH54smDObXYGHIM742595f32mjg/KERiJSy2vn+Knh9x/7jp5MyeeLJuyFRuQd7v6MhZKSjjdtJqlPyDILHqkG+y6669vGtFCtDzJcLFI30C6lYFk3+QVHl0daKXocVLclvDf9+7UNfbROs4DfD31TaB0FqOZp86Cdp82CIJ7snZ6Fhzqv8WGfWbzIhOntQmvXIaCcLhOeeko79eNAzfsKTBhGO5esI0ZfjMzQU6LkeTt4MrJATOzey0sr9VQUF4vbv10Fc8OwMwc/zPyHvM2/k6di4R0m+L6yOkjaC8QdrDDPHMWt00VxOW3DahXWJU3j8fKpSWZbJ60PxuSGBk8ZTNfCxfBQ55nDm+s62bqUaWaERAepXtcEPXQNLKgFSW30Gm/DZld92bOkafKnue2GEtbR6SQvDvcrw2cWPoMDgtUFnern+9l6Sf48uoz+TTtFC82zhVOYwTHSOqRL55YNlqbdeevEZ77r+pPBlEu70mYASlPuxI11+2+xgBzeS9N1fjZyWn4nQTtPCoVCoVAoFDNAO0+bgR48pxWFOiQG+iYf0xFivD6abkhN+dHpCZqKIVVOFH6LDnKJUGIywkzS1ZEwHAvHqQucGoRplVKm6h3LJQrbsx7TdjiqJMXzUHbbNBaGj2JkytZI+9Fl09VcyPcaCsVvXlkM1jfC52YZTBXSdtU2laEo+pbxLjbS7H6spWTAbVgpB2aUuSTEpHye1mUtgMsKrYHUv8HyxHEgyxQKyutrBB963v25XMPgOV9lgRsdh5qepmNtoI/1EBnXNMvBQ/UjwL5jIjKPphnrE1zNE4YxlbJFSKnki5kfhka77pml2xXLZfROiab5/HPMEg1j/ZCQN2C040OOp1I7Lk4Lk5VaD5g6w9A2818bN9Hi8LKVAAXERnwUMdSqQKFQKBSKHQiqEVxPGYoYyjxtBnLG2PS0J/Do0luwkPi44PCri5BvRZ9w/mJZmMAnYc1+lC4Juq29AAuvFpAdPlIPdQRRrBe7Lzixe8v5C9i8HiKTZiDefvLbTDK9KWPH9eOC9MVBKHTmbcA6kS1ChqrNoLLeBswswaoAmLQyyTiljolrHXziYZsqJa2zmhUl85S5YVoEzBK2oxGs5+ak4cHO9u4drcjXU9K90Pu2ha3iwQ9W14RamcR1D9jYhOYJ0p3weuK6BbF0GQuso2eji5Uh63PCiNtjsiJzfjycuo6LBKPO+ABaHgyaMLxtPQlgiUw8Ba0aZbC8cWh0PLwu9nU9fQftd+xYKPOkUCgUCsUOhDJPmwdlnjYTQbRYaDIXRYeR6Jj6j2Z5yghyVuaIRsaldFbJZKh8XbC8WTF3C5qBptuRla5yZ4UgTapXhw7XmgppJEo3lzQpUXRiPEIFDAeESbNpWWImY7UHbdfFVkloSzpM24jb8XaEaVPARTg3B8uFZH2oE6KpWdoS+vJ1qfZy5CYzK9W417at5WSV+d7RdXG7TM16NaaZDTtFGbS+7U1FQwXsEiEGU6aI5ahDE5URdsnd700i4dA2JJWOqA/y1Y7wLiibMkdoX0ATcZOoM7+bj7zL2tk4b8XCE40zO5LcmOmCe7G1vLsyPGctrBV9l7W+d6R1JCrP/hkdN9bRMF8UNA0OyVN9zABZ6vV+FDG086RQKBQKhUIxA7TzdDSQd48kU9El4ehNWCYWJi3r2AlHT+PQs6ZJ1cD8TeiuhPkJ2tbHsA6BIzvq80TbjiNZ0rbRgS4thzH5Chc4YJkyYxQlBWYMjy2C7BdFdvWI7pLSswDmBxNm7Bjvu5CvJlkVTJy7K1+ZKRqOl0dZJzSm5Jqi/dMwUpDWA+zTWgE+T9geOl3gEwQ7c9E+UwkwYobrac+ndF3ofY7antTDJWmaJF1SgtFtM8zkJrRd8CxIyzNtvZB4+8q4rZRRShlYYjujOg5PaiNP1x6p/dP5xE9MKtqPrkuBJ/zucd6QFWqLTEaGv44CJM0h20L6li4vuSSrvwVYr8fTRkz77VSo5kmhUCgUih0IGEz1sS5pL0MhQZmnowWeqLNrdIX6gr6j0Rm8OKx/VMf2ks5K0jtEKVJgJCrpQqQB5uqkHuWhrxNoobK88X2C0fDKOGKx/MiOa50koLasywbGeTtJhwjL5wfdOp7d804c01IXsjfAPjU+UuFjuHdhOUoTw9khmtoFGCfJYTsF2Pfa6d4OL6XMjNxwnZcNxwBME5Rzc7k70kcVcA1nQGprKBfO0ZAIkyDaL2C53Hk5cXS4tY6afeIsZM/nK7FNwHw43U/tOk2i35CJIDqm1b1Fe/k2rRNx4JbaI7l923/r5yZ4VkUHctA+keXQbqE+vw06iefx+2nluCY7gE+ALDHrrM0180UX9LgYifLtu6JHBtvpXEfxbalmslnZfrPlsMmy1/lZi6bztgDtPCkUCoVCoVDMAO08bRLE5J0pv6e8fVTLWSXraCsWRAsgTI2glZKYKuoPE/okpXRDYWQYr4OPvERNBWg+dqejxHAULXlM8YjF6JhEr5x0VXWy3vbR63wxCaJPqEaqDijKTDnNkwmGg2S/bL2PHCPJbNPbtEXKZT45sJR8mPo9pZzGkZECb6U+moe+0W0pDMk9hswSdTKH9tw0qVkuOCaJDUv5Y4X3rBDZmcnrKFkV6F4GCY1fiz9Q8Oyh/VtCE5hyzxYZlxRyl3MP9VHue9ROeP7A5dzrroj2iVRXzhdNZB6ud55SkvaoyVtJ/qaeVNKxoC9e9K7C6ERjqgEXXPKTXqXzyaUY6BYdVFx+2L4g0pC9XyGwdatJG9U8bR6083S0QR++th/yIk0FZ2sIjeWZ1+0/PXz3g9+oxN0yWHIJgSVRrS0EwpKlHiJXW5OUD3Tqx76k3fIWUTb9UQumDhMC/FQI7sp0EK3vSo5ZG0j2f8nwFCu+fZhixP6WdD+eCwV0kOoODoTwe2F1x6PdZrDJQafN/P7EJNOmjKE2ATO+Vujs0bSCxMD1h760oXxrUZA4x9hhHORhZ1Cchh3U28ycqBu/Jn4sWwM6Up0sahUg7dfjVA6OdEwp8yTbHGW3YFzqg9fTdk6MD50WSECcOlfYCXLPst2X2xfgdqvkxSZ1JFOHkpjOq9vKlyfKsBu7f7rOPRyOayoV/Ud2M1sIeB9sxEcRQ8+KQqFQKBQKxQzQztMmIZtOA+paTvxJv/Sk8Pm6tuhiNLwTVzYr+oTWpqYM+NRGMoFm6lihbqwf0rd4s756dBpNf9rph37HHyR17SCFmtkEFHHHU3N1Yt6aGeIMBz1Ou31mzHgiG2x61iarzMDm94invWidkVh8hiEtTMsdnM6zZZVPr4LbcEsDPH6sC7a/fuJE5m4kavdjNw9YDcyKglycfXmj6KVpYJBJs8sYKyVNGU5Lbu4n3ACDrigC8reUCNqzm4QV5UVQFkOYArTfubFlSnBNv9MsKoRZahgQQXAuMUve9gCYW/dzkLi17TQgBnD4uuP3BzJMXceUvFU6pielOqVL3XY9/HfO3kvsoX2PyHYzwTvoGJzdsuaxlh9ez+cYPLBjAGpVoFAoFArFDoSmZ9k8KPN0tMDFoT3m3O1uMDLqEEL3mZJudBotFQvR3EE9HdoJSNgbmVty5MJolocwLzIBOepBZtEtdKCaNqLssKrGQoCyPsnkuWWoV5IalSdYKl82mlAywTjfjmuZMCUJsDPz2bhJ3Ou2QVE1Z4f6gOuY6nKqo/JyhUdlXMUjXlhCjw30Xr69sL3Vi9FjqE0yG/agZgRTodcprVKX6NdmvOmwwxgsU+Gd0wimykskDxZBGC0UUzdMMBGao76IpkYy1BQSd3JGkH0uKd7uCU2hBdVV2vpd9cu1rUfbrdmtOYoTiDfrSDORXOsiGoWZgdbZAoIC7F8Utyko86RQKBQKxQ7ERgi+IYhDEUOZp02GD0tuG8mlBk9UPxSMFNfXJj+yZXYGqdDpUPuBo1ky8iPRJZIXYdBmdz6y8TRM0UCSpNZmmZBJFXdmBVaVycc9Q7ejoaM7fhxocyZMKJIzLn0SZQLjgawHMh1ojClZFUzIBa5PaxVZKByYtFg6OOzJl4Lvsbmm0zD11CaBPgu3BY0TsD8nDA5FVgfrYZ9y8oKGeDqsL2DZrP6psufCp4uh0ZCJa5LlzXWQALuB7CwZIYfEVUEZFHmbKMQ/9TjxCLQOdD7voMchJpcDsPXIWvRTGBlnj8Xdo6ksKt7egDyjNsrMsWc5ROnF+8GzSROR07qwXVB2YNSJ21CGmyUyRsPRuKHYXvk4koa67l2I7+lZIw6j6ELcBlmr7FjQPK3/o4ihnSeFQqFQKBSKndx5uvTSS81ZZ51l5ufnzQMe8ADz2c9+NrntQx/6UJPBCId9Hv3oR/ttnvKUp0TrH/nIR66/oWx0NDgcJupMMTQzGbjxiJDU1SR6Jz/ClMoLWKX2+qhHVDBqTUXbpTylojQTTp9hU7NM0sdkU1g4vYkvixXdpVUJCC8SfcjNEp35ZX0YWUvgkvO8SdQ7tuZdDaxGiQ35F4Zjp9XBbBhNRZLhJexPt0GKnpbLo/PGVWEZpDbsLpajZVg/lk0j4DYDgdeMTQnTaJ5gGbbDppEQTnqQWgJZwI4ITRFS0J5wjUvOokhFQWCdyNQ0y4txfG34KbYpRMSkuuijROrxz7xUMWF8+xwP0zRa81prxhmvr7VW7exL2zM6c5Jltp6/Yzvft5WQ+LfHvSKZEB8rQA3kej7UrFaxTTVP73vf+8xFF11k3vKWt9iO0xve8AZz/vnnm6997WvmlFNOibZ///vfb1ZXXb4xY8xNN91k7n3ve5vHP/7xwXbQWXrHO97hv8/NdSRAUigUCoXiGIdqnjYP26pL+brXvc48/elPN0996lPN2WefbTtRi4uL5u1vf7u4/QknnGBOO+00//noRz9qt+edJ+gs0e2OP/74o36m+aiFzpfzBKSd0XfSSJmlZpjO0xEkrXONwyerYWj0VPDv4Ajxr6lizUOdLHkQs1L8YZ2UUWoZ6psTt4UUJQfARRivDDrTjCxP6m1S7xLLFI3cMbfUyZmgPtodbBusR28oDoyqA0YGUrPYZQmGCbbF7VPReJbVIuej0TfVyznrtVYU5J6DFzU+KnTEe1xxxLcplZpm92jF+XA56RwygYC+tzVNtyPtk/IOos+rkKAWE+bi89EnWXVfRKcD7ZpoInJxx8pUi3NR9F8kE8TjSbDNEusUlIXPK0nrgvU35eVxRDJpZ1ww38adY6GMVJod6ksXyNgEXRStB69fsH+WiMDcYqzf40mZpxS2zVkBBumKK64wD3/4w/2yPM/t98svv7xXGW9729vME5/4RLNr165g+Sc+8QnLXN3tbnczv/iLv2gZqjasrKyYAwcOBB8RKRGq/Zf+wne3XXyttAlSW9MY9KsTTTZp6gFfvt+I1dNlVeDo/EDsTefP8OUHL1NXRlLESati/Qmx09TyY4hTdSvjQZxPzlkC2L/x35ZfYywrEoy77/tXF6I8evUUXpPFXDLYROG6nzbD6axE5wfW3TpdFNf3FYwfnsz59klWBVD23jye4psFVCxel4nLs2jaEH1ruJAVz10XMmdRQRHd12xqTgyAsMJlLKCzWlYhnb8XDCXd8gqm5qRV/Blzn+A54Ua0+G9qcOSeO7ETxeprLBCa7ew0It1fqKYaDYioPksK01sDQarKDJbqh701r2UbOgafvY2DuQRCOPZknj3Ftse26TzdeOONZjqdmlNPPTVYDt+vvfbazv1BG/WlL33J/MIv/EI0Zfeud73LfOxjHzO/9Vu/ZT75yU+aRz3qUbauFC655BKzb98+/znzzDPXcWQKhUKhUGw8YACyER/FNtc8rQfAOt3rXvcy97///YPlwEQhYP0555xj7nznO1s26mEPe5hY1otf/GKrvUIA8xR0oMgIL2UxUKyUZrIAabfDssURVI+RkgQ76mFXuI1q5lnivbnctDRVwZgQKSVFi/lf68gQRp1QPnRY6/mWoI7obzdFwqcnxTrQmoCsg1mvMqsis8T0dFzIHM0NJ2ZpPCRNIwwTznCMc2MSzgINAzVv9g5XasaEEgWknCOToU0FU9sc4LQcY61Ikl6xPmE53X+1GgRWAzYBb6DEN2alHPhy4GWamg5cC6CkZqqOiN9dagifIsaU5szhzea/Vk+OdBxokklvFSoYh2tkSyHi/zVLOVjghy0fp6Z6hLbTexGmrTM0rpTqgaS9RWaySXquOLi/HatLbylrCcD24X8PDqyY1RPYDRtsZ0w1R14maFFShtvBe40eazRV76YB7e1FGTFOtGYkHRMfx/Ipst5TsmHqGen9F5wowqj5IraZ/gdF3+srY3sd89HCtmGeTjrpJFMUhbnuuuuC5fAddEptOHz4sHnve99rnva0p3XWc6c73cnW9Y1vfCO5DWik9u7dG3wUCoVCoVDcNrBtOk+j0cice+65dnoNUZal/X7eeee17vvnf/7nVqf0pCc9qbOe73znO1bzdPrpp5uNRDSPT0kVPvBE2Q8dbabCm+moMzU4dVfZM07sqtdCyx4agrbkxdwgkOsfrIaDVAw2A7Q81DodOmKqyplkYp0psXtXGHJCLB6EL3vqgDalNrJEU0vxmFmFmDA4qN5KUeL920TpPMVIyDDV6VdChigzt4xDDZ800hxugPjCC9JpG1iS3rVgtYLjgluiLvfmac1wpIThsPyk4cFgOgFZpr5soiwGzkLzzFVmdCiUBSwm1wBxRIchltPR0Na0SsBMlelnENs3z5gjuzCsNydpRsQQfGpa6Z5Z2SSzKSNI/+LXk+dbOM6U6D74TsXhAcNFxPsk8bGIFo1WW910/xJI6C4Wa4uAARbr/ShibKuzAlNlb33rW80f//Efm6985StW3A2sEkTfAS644AI7pSZN2T32sY81J554YrD80KFD5vnPf7759Kc/bb71rW/ZjthjHvMYc5e73MVaICgUCoVCsV2xXo+njZj226nYVpqnJzzhCeaGG24wF198sRWJ3+c+9zGXXXaZF5FfeeWVNgKPAjyg/vEf/9F85CMficqDacAvfvGLtjO2f/9+c8YZZ5hHPOIR5lWvetX6vJ5yphVa5zx5OTCmaOyq5JFe3/vbtmVtTAEY4k2p7sGW17QJRmejA9PGaI5XgykQYJRsR5guUo+fn1IaqbJqBc0T/TsgWrBx7NAHRSkMxMOKVsvCsxpoFdAG2A5SgtDvTR3yfbA4WDUTVw/UEbFaVWbb4b87HRBnxQ6WC+YUU0d+0nZClBywQzBA5mlV2sAjCmEfZJ3akg2vVGMzlzWasO56uL6irvdOoxvMF5bPDI6jLf8qb+/e0YrILIa2AoSpSDC4xYoxk8Uuc8XWQ2zawDRPVEMTJ6ENGVdRb4NRf7jNxAkdg+NtEvLar0VuspaAGHpcqdskuEWFZoH2KbJKYM90uUDeJQHdSv4cg01JyD6jpit6FPu81oTXH5P3xbvANSsrz3QxiSJpKxiLrqFNim2JbdV5Alx44YX2IwFE3hxgP1AlOi8LCwvmwx/+8Ia3UaFQKBSKrQb0fdcbLbdxoSE7C8rHbSZwpAUjFhvpQRgJNnLCufnIn2gt931idE51FSJxUFWmoEP7Dg1VU1isfYhH0bQh7F9qkomju0OHg7KDMty/c7dWyTb64laEE+jlFu0ir74JMXnqli6kNE/zg0lUBjepXMhXxXokar02uQxTqkBqFr8PSW8SlCXQmKgBw/X7p4tiJF++hhs2pZmSPLXwOGlqFtyGHgc9b5zJ6+v/JPk8eYPLNSDQMLZEbnUlvIZ3BW0D3771cHnZGC3Ho1lp0zK5rYPDE3ccZCHRIUE7JguJnxjJNFNqX9fynp5MdSLx9m2qQXzs/Frz9C00Dc6xGNGvJpmbBz0rCoVCoVAoFDNAO09HCaJLcWoES0Y/kragc4QjRp4RDcyqJJpCjxiZQaojZjrqZT5RyXQLWPbypBnlcW8n+DeH5MB1mhEx4olHyqSiDoPwumafPtFxyGAsDFf93ykmY8/8SicThiwKRvRJsOU742gJfD/8jjqmXflKeyOMMd+dHJcsD9mlhXzsXb27QB3LZ2Wf6L7o8wRtwnrnMncPuCkIKUHyyXMH2yupeiyzLEIigsxpZQKPNGmbFMgpWd1DXruO9RE1PF1oYWOsCzdvTxTV2zxrwF7ZZ5xH4qLPkY8oZHXmxqzsKwL/uLpM908lZBGgdYupVyh7JRxjxHy7f9oiFt17bToXvweCf1mZwTHQ/RjCWQRzzCBIrr2Oj2IHaJ4UCoVCoVB0g6cxWmsZihjapTyK6EzU2VP7IEX2zKLDEEfNvI4+3WrnMhyNOAWtiFif9ZaqTLV73lVayqwVz61XsvLbGLyubYRDippJIuAWB+Pk9l5z0xHQiJFyqCHiPip7F5YtA9bmBxVFwWG+O/JIL+aryRx2GC2XCkOGY0Hmx+uL8Dvk04P2Z6W5udy97pEp7D2XNWXgcUO5NucfhEv7NuBxNgwebSM/htD9nYVJhTbc9J8Qmfxs8ITdUi64OlKLaRyrbg84G9k1C4PBI8hQhyhErga7wfM3LNK/BAHrEjJTPkclyVeHCZCjeoAVYixTxNDwBOFSc4ZNA9aiPeuzTzL6jhLYWY9tjgFqQpmnzYOelU1C/EIkLxn8jtsKV8EvS6UdEStl9eGfPQTkdZupuRyh7X3nhXQOCAbL7ofHOh22v6jldtPzAu6ZZArPvaCL1fiXhBt7Ri8rP+WYbFJTbc+T3JaAtp6ZyEw5rS9eqvNTm12mzxNNQoxlNJ2E7lEgRtekptug09PXsgDsAaRpsvZ9Zn+t0LQs2OGjQlXo5N00qTtqsJ53ltCkFFLZ+GWJc5UPw+NpzFzD9EK0w5NKm9Q5QJCeR3y28Flpu6REWN0YS4bPzOAg9TFpntfgeXMDlebY2LSZTYuEx4rLmt3LUSG3jbyfwJolLp/87VLN0POReuxCkX7YsRUHlfT89nFhEJMxs/cJFbWTbaKqcbCUmOo757mvN7cVXHLJJeb7vu/7zJ49e8wpp5xi/RXBLohieXnZPOtZz7K+i7t37zaPe9zjoswh2wHaeVIoFAqFYgfiaJtkfvKTn7QdIzCe/uhHP2rG47H1TgQza8Rzn/tc89d//dc28wdsf/XVV5uf/MmfNNsNxwCxuDMBJnQVOb0BZT/LVJIgZLTTADb0uYc5HxGZNyNsEIc23yHFhCNLYvSg0rH8lGgUMIWQ5Vv4sVDzO5gSyJuUD4y9CEfdcfnhxmG7UpCYCWB4VqYDM8ynwXrOFI2KqVmeDJKMFSxfnRTtpAJjk4JEtqYfFoqxF1fDVBxS7PjCA9YIbQWCutnNx6f3pBfmd8cnmDuPrmfloHFmM9zHNCt9gWQEYG82Z24wK1HaFzg3RV5aq4W5fGxWOm78aYn3kVvg75nG3qI3o9tjisaWFU3HJVKc0O3ALxamqy1jVLdtZuG4dLoTdiJR/a4N9vlyKZMkhtiyZaUL8phv8pFY9swee8xWtaGZ7hOm+FYnxsw5potLDFzgik3uDc3gbD4ps2aE6mVeqiBd+zVM/+F+BcS8sFRTnL3cSsVQG1M+Sxl9cdlllwXf3/nOd1oG6oorrjA/+IM/aG699Vab8eM973mP+eEf/mG7zTve8Q5zj3vcw3a4HvjAB5rtAmWeFAqFQqFQbDhuvfVW++8JJ5xg/4VOFLBRD3/4w/02d7/73c3tb397c/nll5vtBGWeNhGBRigSdLLRjziP3z5/jwMCSAkAI7FofVvXeMaUMXZEStKO0DZgOyBh74BEyQdsW0V1ElRM0ZYCQg6fjsr3C8jfPGEyP//MFLGJ2iYh9ygiJroj1NZ4tsgxHLWwuR6F43lKjddQQwTlDfKpTc3CTR1pO6iOJ4V5Es7P0alrEtbj8SFDBayWF5k7801xv3VmQ4X9gXVaropa38T0VrAM9E6UlbLMmzA6DkfMwtUYdLSV6lhomp2EcaLIMgnVdzJeKcE1/U5PC2oDB7l/59hnB/eh+iZIjQQCcd/42RgjCkyTwiVxVoTu6EQpFQ3sly+tmOlwodWqwGoau/RLlFnyy/ofQwY+n5TEdO+qgDGyNH9C5+gYLbB/meyqz0dQ1hbDBluskyNB7eGBA3XqJ8Tc3FxrGrOyLM1znvMc8/3f//3mnve8p10GadVGo5E57rjGKgUAKdZg3XaCMk8KhUKhUOxAwEBjIz6AM8880+zbt89/Lrnkkta6Qfv0pS99ybz3ve81OxHKPG0yYPRnQ1/B8DEVWcK7sNUM33umi5DCqCMGa5D5NDFrBWggZikDRqOBxgJGzIsLxkzq1A92JO0sEZp96nQLZqHbFqBrFJoPSjOdNiNxaxFgo7mymef9A/NM8meel6aMMoaG0XgTchPwNCP4/ZbJotk7WG4sDlxKkoidIWMiiR0CZsfu03GZolQxrqyTBwfMVeMT67J6mmi2gSvD7CDf5rLNgmOC+umxgd5r1fkG1C95YAVJ+0EHVpRmYiA5d9oc1WoHR2mtUefyrnsQjWnbjCEZks80r4fpbWxdy5Ccm7tdVnJqJGSE0HbAMtmZKQTDScooQcLeEnRJTJNEzxVE804Lwn7RBMX2e4Jx74Bnu3smOW+MftNskGW42CMapeJpe9dupbDpKOGqq64ye/fu9d/nWlgnyD/7oQ99yPz93/+9+Z7v+R6//LTTTjOrq6tm//79AfsE0XawbjtBmSeFQqFQKHYgYGCzER8AdJzoZ07oPFVVZTtOH/jAB8zHP/5xc8c73jFYf+6555rhcGg+9rGP+WVgZXDllVea8847z2wnKPO02WAGj83y7l2DaB2Y/++QvliGa9KxjfUuMQZkNKmEp6m2RhElPMIGI4VIVB8tP4qoCSKAqN9MHX2UjSemGg6IIIls60bK9phb/XVknZb8JQYwP+B11MVC2Sbazeo/gMGCD7AcyHRMmP+Tj7bzZpQZObymTvR7Shle+raayqZmWZ7WIg5Lt2eNISbWCRFrXWUtFqvmwGTeaZvqbUfZ1LM/3CdqPewTHcFB7B7WZ8Okne4JjgWuA5p3ItPU6b3Fb3C2XZBuhYOwKpVlUGRdYvJUSpvDbY+aGtsk0OtwJqw05SBhBik1w5pqksXuGeSMEj5jlu0F7RP89qEOifjKIYCJzoNE4a5ypwGCY4D1/X3oemxI3wPuxFZF7j2k7K2c0IfWx4blyOul/YTboj/Y9afv6LUmkN5I0Gm39ZTRF8961rNsJN1f/uVfWq8n1DHBNN/CwoL992lPe5q56KKLrIgcOmHPfvazbcdpO0XaAbTzpFAoFAqFYt1485vfbP996EMfGiwHO4KnPOUp9u/Xv/71Js9za465srJizj//fPP7v//7ZrtBO0+bBTY6GhyemsnucFK9GX3igpY5fDKiCtJCzBKFRkZzYgQJHRl2BSKVVe3xIqSWQAyOTM1k0R0z6qCo5gGqgRF25OJLvqcGPZThSrS5LeqJG75PVgozGk3E5MDoHH5kMgzYIQ7PfiSuS22lw1ms8AAXhmNzeHXk20e3xyi9UTGxEXq4Py8TMMymZsUM6wTEwnrUL80CrJ+ngrHeUuvQfMxnhVmuplEZ3rOqys2eYimuswPom2UZQPQlkhz7u9ou3WfCPtSNvDV9h3DvzMp8ACvk3ybEwdvKu1wUHOieiml7uFq16KZeEtqjWo8YpmCJ1gOTBUw2iaRtizTGcmBfF6xqKvB4Y8eTZJk6kPJZ6pWWatgd4Rex6O56B/UKTN5WAA5lvZrEHobtwbRdF+bn582ll15qP9sZqnk6WnDTZfhQyT/sTXivt/zv0VnC8No+ebnw5QG2AuI2bWljUp0199Kk0xFilnhuaIdTClRgTjK9e0zKaIrRFkeX0elK9vJsa79vklvXlk8OOyHS+wGTxudD96ppeV/tX1kIygvMOGEKymRmPJEF5nSKasxE6GiS2Ydmp9YDbViajpp9SIerbkvdcdubL5v1AOxk/d8VdPZMlJ4F66fTEPQ44ZztHq04KwnhNxdvK2ZREcFGI2BIfb/2twmRxdB+fFY7AkNsaqTWdCK1sWy0LvW9JT2S9Hx5Q0kUj5PnlHaUYHvozIkWCxj6D2MktEhItSeV2oltF0gD/EL3ziFlpKZkMaAl6uS662I/eKvzzh8Vn/M27fBoO0UIZZ4UCoVCodiB2IjEvpoYWIaelU1AY04nrJMGf2wE1DmK6WCi6tFey1QYpa/p4o7Rs5gklddDR5+JlBBRYk9MzQKw6R7Id5ougo4qc3b38iI7GKcUVsaDiH3iqVnmhpPWxL52n3GeTN2CDNKBcROtQu0ReCh9VDZ5mWFaFgmw7tB0XlzfJRjn9SyXQy+cX6/pHse4ctOBKEJ3h8+NL2Ha8IxhneOHn3/KyPlZLEtFdNcf3dcJUTlFcEr584jCbLJNyHBU7Ql32TbtjXc0G0+rwo1opeVIl8Io+lCdXFhkoHAqbo4Eb9Bt6Sw7JvDunAoVpv9sW4Flbtm5qsxgaTqzIFt6dwXv3P5FieXWhfOV/ZIUK7YnlHlSKBQKhWIHArR+XQO9PmUoYijztMmgjCcd9dSmefH2dJt80nxJ3r4t97VESEQjL2E+PwAs6zK97MGaWX0BSQuRHF0eXiIpIxiLhctRw9rFLknaCJcI2RZDmInaVoB4CbJ0KWgXwA0sKbC8WHCeiRYFUpi9/+42AZG63ccaW4blYjm3THaZLkAy3RTqzOndL0gUmQMj5K0KeuimulCy9Cz7nZarNkaI24VtpeuodUGzjCRaZtez/re9XUVNxsQgTBMevtcoSptTcokL1m3gRns9aEyZenasjgqsB2z5xJoAq0Q7grmhEBhCbnp7zGVnAAlaINjjBVeR1Hm0DHfIhlmbBK+hSjNjaE0gzhh5kXlznL1YKMe4x8w3+ZddG6vlaivPivfl5cfStN16P4oYelYUCoVCoVAoZoB2njYBmFIER09+WV+wTaPMHkKorLTcb94W4efbF2/DR3PFCnWAayJt6Ah2dLCZ5Pdl4QiUWRBw8z6/H2hgaNQdrueRgozxCpKQpvQmnnFrTCx5WU0T5TB/RKOxaRIGc6R0TxSLg5DiCE6T2395OrA8DESgYb3I+iAj5Jkh9ljb/djosS2qUNZI1dF5Y/sXTf9SRazVSpVmuVLRdlAjxO4BGvPLONoOlx8/OByVw8//7uFqzC6lnh27LtTz4D2VZKB8GR3ReR1t4CxzAGLtEWiafFlh2pdstbZ8CJ7nGZOAI1KmuWBaGbWBAdK3NOXE4Y/w7JcLgmpEirb1+8jtjI6RMM6dkcpwruD92qkzxQg9fgOltl+HkGoDgUz2ej+KGKp5UigUCoViB6Kekl9ntJ1yLCL0rGwG+vgjUYanj2xEiIoTTdnamgVaA/B04QNHN1KzFjduBNw/5ULCeLAFXp9hv2C0HY0Oqkx1+Eh7tZkxc7ey0WZUUbumq3B+PnZTP3ivtU00YS9qZ6jmibIc07I5oXZ5QJoRXYageaJIjfJQb8XTufAExrdOF0WNEGilvE4IWasWk0zUOPCyLPvkTuLBct5sFGgGEOr5dKfRDWH97LxNBX8ser7xfNFrUi9gDeij/etYDuaKvZ4/dnk8kyE8Q35d27NljSTJNpI5IybkRYYMmKMU60vNLTvSTYEJbt1OYTs8rK73gsTIU50ovI8sixOeC+oj59+f0jvA7eclfy3t6XMNse4INlWNvFyxM6HMk0KhUCgUOxAbMe2m03YylHnaTATRYnHUGr0n7aiUbkv/5iOsLvRlgSJfEpbks0NDldY/xdFH9juLqrHJgQ07LwmXYYndak2B4VAsS0N6bIIb1fZ4cSwM08IXZDh2zXWIY9j2HIuDcRAhxgHMz+5iWXyZAbXu25GvuJdmHqVUQb3SVZMTGoap58sR9V80+mYtaV7itof1c5ZsSOzjMVlw4zLeRN5JkZBdnlmNi7bgCcV35emUOHr+xvRhadu2AYfsMGo2jr5DVqheEEa8BX8TRioCPrOYZDjZnsTumTGThTjtikXOsy8IEbZUT0bSt0j6UXtdpqFTutSeemO+M90oZvlpmeUwPtdRW9b/SGwYrEZyAz6KGHpWFAqFQqFQKGaAdp6OIsoRHT3JbreSay+d5w+2mQVktAYeU3Z0xOsgubci7xJbRrpMLCNoW16X13rXtWkrcsJO0fNCI2gkpoyfV+o0HVjcEC1MVlkNFI2OAzaDskS92IwuJgv1SkTDxNftXViuR/v2FHCdT80wIaNE29UHPDIvtT/Us5CPbT3ABKXquGG6h5Wf2c8s4G7n8B3qk7ynrMeUMLQ/ee5geyX2vonv1wDWt4mxqFxbGESxCXWkQMpY3ZMzvVP9nDRlZ+3+Qr7Mlm3cKqthpImDU+VgNJ/LwekPibUjYH3gz9yY5eOKhqFB5phruyD6Tsp6QJcJSYzFKGVBUypmP+CbVcZM0dSfv0PI+7g1+g63Ye8wMZcnqXerAM/LRnwUMbTzdJQw0/3nO0ty50MSNgYPqJ3qS1eIL/5gqjAFZ9CXpO0ls0o+XWcrFfYF3SoI2HfP11N3JbEoCOrIrHkfF4hGv4W8w8emDnm7Odqmr7DDBFNrrGnR/pCapa3/wO0PeEh+51STsA98h2k9GhmzmK8m07B0mVuKwvXEQUFHq0+6lzbMZTit2HQqbUfR2hjUU3U3TPbYv7FDB/Aienc+RsU0OIbIKgI6pMMO91gJZDUOLIIw+CCBd3OebP8c+g30OXHblfBs2aS8vKeBFa39DW3L7DU9WFnzWm7E2RTkmjIEbxHXuSJ1wAePGxPuhuWb5PRh8hYUp+XcwAXaIZVNt5VSorDO1Sy+j6LdQY+pW3EAepShVgWbh2Pg8ioUCoVCodhoVEQfuJ4yFDH0rBwtULNH/N4Cf7+2MRgTvpNU0NpoY2lUmApjHixXzT40eS9p+2QxbxWdWoAoFBgItC7wYdEpPnz94lu/jdsIqlpyKVF8s4R0KpThoIjC4lvQZsDJbQ1S02a7B8AuhRcLaXZkZ25m6VuAueH7SMxRnXS4EhmoemqtFNcXjkXqi9wxToC92ZxvCxWqWkE8GHJWudmTL4vlcMaOjphFNs9dK2laLvjeR4Rsv8TrJTYq3kgqmP7tWBdvIBmyOIODq2T6uXluLKsEpxC+F6HJZsx2ZaJ9Qits2SHjVDNsJEUMY208w8WDTOwXN525OpGF2ISRxxRLUvvXDPautOeu451VjElwDGPcPdGoxM2OhDJPCoVCoVDsQMAAqE/eyq4yFDGUedosgH6HQBxJOc1RGysKbE5snre2JqVSr/hEudIoG0aVQrJRqezJPNNoJeoLd+RpW9yIFNkLzj4RoW5SoFkmBOy0WghNFyAJudv0PmHC2XD5ZCpfWMomjYqGPmzSkmRBbYO8uZe4/mBKwvlBx4Q2Aqh9AnZoFkG5L1d4NXx3fEJ8LC5ljG/fGrRPKbmN9NKG62ATBnPNF7M3mKLwm+mMamWz+3PA6FWe0Jk8D2t55lKMVpBMGMXUif1EY1kOTL9EEm+3vtk5q2U1We0sr20zvIuWJ8GNHgnnBVsDXyb1xl1e7WR1atasIyWKJELHzVwQTNBOPOfu3xwcWruubdX9NzXIbGMyjzaslHTdmqetPYZjFdp5UigUCoVCodjJnadLL73UnHXWWWZ+ft484AEPMJ/97GeT277zne80GUR1kA/sR1FVlbn44ovN6aefbhYWFszDH/5w8/Wvf31D2mojUTCijY2A61EtHY5Kw82eUWI8cTBWlbfrr/ioqDM8WigvSJPAottE2wXUYGA73Ig2GDHuWnT7Z8l6IVlrdHzBuQ0ZqL7RdW2JfCWrgtIxHHVUWB3h5PVTuB9hjqTyMLUIlt0n2k4qJwUpFUub3grbxLfDCL2TBwcDq4S47LW/VoC5As0T1G+j+LzJZ8aYtcwsgODEHb8UTg37DAYojklonvqAy4PYqQPjRLushREtaA6aSk78G+iWeral2ZdpKnnZtt7KGM5gIa1Ao8RSVCBL/OsToCeMNiGaN0jWzbVb2KZZELFQhFmi7DTdpKUKbIuP0CPXsVdzJI2c/2K2HMDQbsRHEWNbnZX3ve995qKLLjIve9nLzOc+9zlz73vf25x//vnm+uuvT+6zd+9ec8011/jPt7/97WD9a17zGvPGN77RvOUtbzGf+cxnzK5du2yZy8uyKFWhUCgUiu0A67y/AR/FNu88ve51rzNPf/rTzVOf+lRz9tln2w7P4uKiefvb357cB9im0047zX9OPfXUgHV6wxveYF7ykpeYxzzmMeacc84x73rXu8zVV19tPvjBD25cw2EEAoaPiZFIZ8cepuUFY0mcxw/M3TrA0wv4coS/14KkWRwfMKL5JfeQwhG0Ncgc+9FtsC/z10miI1IKkDvdS5g5Iky4C5F1NA2I/ZcdZEQWtNSLrA1NNExB/Ykoq3TLZDFggzAlCfVsgtQsXayT9YQi+6SSBNO2wfZorIksj00UTDyX1oqC7Y8Bm1bfRDRcWL80Eq5HyMK9zZexZM22PncrRrt3PBecWe1MywG38mSNEaL8GcC6IDg18JXKTLE8jbVL+IyhlJBpMiNdYxaa+tZtCn2efKQiJdU83Sq0P3rOU4x7uMwmMqbffb1Ee9Xzl6zLRJPWEaTiafPNItF2x1JqFsXmYtt0nlZXV80VV1xhp9UQeZ7b75dffnlyv0OHDpk73OEO5swzz7QdpC9/+ct+3Te/+U1z7bXXBmXu27fPTge2lalQKBQKxbEOdRjfPGybztONN95optNpwBwB4Dt0gCTc7W53s6zUX/7lX5p3v/vdpixL86AHPch85zvfsetxv1nKBKysrJgDBw4EnyTcKKqgiTrtcmFbHEm1RZOtcx4d3Y6lEVjjo8JXGFmrwP1g2EhysFS2j/gwJQRb5v/lqSAYE2D9ZHqwbRyhLqH+Ml4eiJoniR1KOe7WjEaa/UhF31E2a2E4TrYDGZh5p/VJJu51jzUyNJRlwnK6HMEXQVTmPaHcPqQN3M18PezTvrzx1YLYvaZMEsVHGCioizJNoZ9TeF6DoxRuwtbfBceqBJc1xU4ldHUiBL0hRc50SdKzE+gTpTbB8wHbBJ5LQkE2Gbjzg+JlpcKsyHMO6V9amTQbrUu/J4rExL99NFCJxMD0XzH1jvgOCpdL2Rt4PX0jL7cyLQtCNU+bhx19Vs477zxzwQUXmPvc5z7mIQ95iHn/+99vTj75ZPMHf/AH6yr3kksusQwVfoDVUigUCoVCcdvAtuk8nXTSSaYoCnPdddcFy+E7aJn6YDgcmvve977mG9/4hv2O+81a5otf/GJz6623+s9VV10Vb5SImKGd+D7JLHvnWqJ18OV03t5hOhcyO3W0UBgRlMx31aZPSO2Co1gWAVQNnKN4QBmQ4ank8gvfGcljfVbEkaXsERNLMFyEnD0tzKfGfT0yGXqWQxogW/3RaOqS+oZJhrFsYIf2ry7UbU5ceBsUNS18HVhn47zNNDvCgQ9d+FCqDtAPjUCA04Gl6cj/DWyT9XUiNzEs25XVLNVaMa4gio5E9SGDhmwTuIoXS5b5SrF+sHzvXBjkgdvW1wFPpqSxWUPuyZaoqtbnk2lp2lz3JX2ifI9n9XvF53xsP5jAaXzRZcpN+TsBMwURw/iM8rx9bnnlEwJj9JtjvAJfpFDzZBmvluhBS5imtF5riX6zC+QcfFGEXl/tEk0onM2WIeJoAHWR6/ps9UEco9g2nafRaGTOPfdc87GPfcwvg2k4+A4MUx/AtN+//du/WVsCwB3veEfbSaJlwhQcRN21lTk3N2ej+OinFyRhJQVJWUDpZ/ruT5bbl05OUNe8DfW2cscjKjKwH2iZ/hPS09gXLLzMkLbHXk2QcVc2+EwK3bNE/ZLVAjvEaWJqjYqMR4NJesYVf6MT5dTNqIgwPRQ685cV7Rhxe4Dlchh2ZEgoP+LW6UKnLUFf0Prr6cw6Zcp6MXVljKup7UThEVDzTeyogU0C1AvHSY8dfyQA9Pbx162lsxMAbq4cQ+pNcl96KfD5rPr+AAtTS5HZJBcwS7eTFXDn4Trp3sf1qY5aVZnicNMBTk19URNO+sz3SUED2wcmnhKgA8aF7AJAEB9X0NgVYKcOzwH/FxG9L6V3aEdHuQtikuKjiGoDIu2gDMU2T88CNgVPfvKTzf3udz9z//vf30bKHT582EbfAWCK7na3u52dVgO88pWvNA984APNXe5yF7N//37z27/929aq4Bd+4Rd8JN5znvMc8+u//uvmrne9q+1MvfSlLzVnnHGGeexjH7ulx6pQKBQKxXqA7NF6y1Bs887TE57wBHPDDTdYU0sQdIOW6bLLLvOC7yuvvNJG4CFuueUWa20A2x5//PGWufrUpz5lbQ4QL3jBC2wH7BnPeIbtYD34wQ+2ZXIzzVkgplJAYsWNXAYrlZnUszfRqBVzy4LJHA8fxu2D77x+OgXn9yFDKDrKpWRQKp1JK+tVl4si9Jq+r0d9wSgO0gSMBiZfcvYDtkKhMtifUgeBh0AWpW5oGs+aRUeb7LzlExhRMWTMHJImAzbMCDORriXWvlei4SWWfWA8Z44bLQf2CDnbB6YKMT0Litebabx6+YHpgjlhcKhpbzCtVgWC8TaWioOWAywX1ielbgGMq+5pQLEeL0iHyJ7mJLZF+fDzT6cYfDYQG1WwpiY1RqwdvxvBqaXPmjCdXU9lMYHyqIjSs/gy8E9I6jtJs0Z2issaUlb14SIr5GlQt+nckE3Ns+lyEqLfh1GSTHDzVcw908GaS6aedPWUnBNpu46k4NagmKeREewI/HuCFl11Gwdjlh9bBvyKSm05BgTjis3Dtuo8AS688EL7kfCJT3wi+P7617/eftoA7BMwVPBRKBQKhWKnYCOi5TTaToaelc0AagEmZdK8zTMibFSVGk0lB8BZj1GxoBcK2pDQXNQrmjbiqDI28EvonJggPRwJJrRVh5caDZTXVLiRvBN6WrE7P3ZJb8JE5fJJwKZSbVF8IqSweL6dZYwwPQspt5LYLFIOtR7wzBJrAjBTaBWALzOblqTlBqDr5mjmUsGqALaVGCouQh+bwjJCyELRfYbZ2sZiY3L9gYU66PwnbAJgqv9ydUFbTwLtk8A+UYzyqT/3YQLnUPQfsRKsnHQARuI735xLfVhgBryFIeQ/3jGRSLwtSENI4i2a0EptsWxbgvGhLBQwwCTZr/TOgvQt0fvNsUGSSN4vY+2PUzA11gdepN723gwoJSOfv7X+CvLrLWnkthjrTwq8/mm/nQrtPCkUCoVCoVDMAO08bQJ8SpHAliCRnqVHQuAo8a8QldM2evIj65TpnbAtlpsEj7Rx+onhoSa8JIpWcqNLqwmjaSW47qIqTXVkqb2hWWz7kEx/I+mhBAsDQQJiR10Sc4Tr8N9ZwnlTDFQblqcDkp7EaZ4wzYtbfnAq6/S4vQBvA9cwiRopl4pFAme/VirZxLMr2g6Bx3fW8KaoDSnA8UVpV6QboiWijd4oqIeB9c4vNAmrNWoj3VBrB8xRh1YnAk/uG5XtWFl8tlanseaPP18s3Ylsnkn+TN2i7LluRcSWZaaccyetbGPvY91SW1t9u9i2ntyVtsV/uT6Lkmbu3Rmb+jZ/BuRuSut1lKG57TYP207zpFAoFAqFohsabbd5UObpaEDU3ZA/yx6skDV3M/20GK3lkFQMtBw3IkbtRWskC0tS3IutSo1OcWRM9AvheqLRYKPhuVvp0FAuu1im2iqpaNTEYDPriLcgAW+VmfnBOGAypCg6voyWX3935SZO0nwxcUyXnB4G/p7LJ8FIMEodYzIzz/RNlB3ikXrBNsSUUgLuA/5LB8v5Xmle+gAIGSgZXKM4CxXUTzRfNk0L88cC0PNdRy66ZfQ0SZo9yTxzRvT+jaG3LYmKjchQft/7pL4C+4HaRBeFOqBeSJU7wYLPWhxt16Ej8v5sxgxcyqm2d8V0Pm81AuUMffTdVhbvJnrISeff1d3n2rSxh7g/RN/JHn3kT00OfJuAMk8KhUKhUOxAKPO0eVDmaTPgrfnDm27K0i10agkS3zs1Ex3ri9VmtBvu1yT5LPt0q6NouqZ++zdnpAJPnMxkq5OEy3BzANnyOKlp6nX+UN8kRN0Uzj+pDX2SAiOTtHt+JWY5GCbgyt1xAfctLIt1oO4IX4jc3bthzHAbqAv2ieu7anJC6zEBgOWKIv5MFbh7Xz/dY9aLMTthnCUbZpPgWCkzhtucPB9H33HPLPGGkTQuLdFzYmLYjmi7sABjVvd2Z7PuSo1UP1/wrCSi76o+rG+9f9p53EW0dRzXyj7heDgjbaPvqECIb99E2wVN9MwRMmXN35zxBta87Xce1tlsQ4n3K543kZln24rrJGxxv0Oj7TYP2nk6WmA//imBc2Q8R16EuG4616e+jpcvaLbH8TxW8JykxJUtdYVpIRIUN5/22yUInTEk2qFYQac/+dwE7eVi18TDH/ywQufEpeVASD/Gi4O0GBrLK8fdj5Voh0DyUGHVfDvsOAzyZlqmtiygqUrqvxfzRukcCcZNu0kmX8fbgbYBfPovX8OvBXTI5rLQ2JPbMMC5uXa8zx5n3YEM24fnbVS05/QLIGyC03eRpQf5uwSvSX7vJcprCqbbuQ4BGWSFdWzAjxXePzANT2wFpPeCNc/E5TaXZFxc5cwiI9Net70/Xz7HndAmKUclXTaNc5nwc1GOEumTiMCf9fk7piHd8Sbex6mOsiRd4K8ZHIDOmrtUsT2g03YKhUKhUOxA6LTd5kGZp6OEme4/GMkU3fsJuuAaWU92KMEyBSMlN33QJvoslgkr5MTnHJPFov3uw6k6PjJGQz5rbRCuir7zoYDU5JYpFnhJgKh7aTIk1TuWgIaxByLwcP+uKRwozycG7hiSpggIut/uQcMuAQsU2Q70EHS3tQMYJj+NljgoYKloPWthnxD78nnfHigXz5Wtw6aUyYI24baSCzJeTwtyXfJhmZiPa2mYwHDGAm8jTz0lElvXZTUpmDpZ2gSGB1a625yYBrTPtWuD+Iy3TP/V6WaIBYtofhnuXw1IAvAEspWYgcK22fJYqqteU2lIiDEWP92Ihl0SHw+3LLKxkGaGt7DvUasl1psYWCFBmSeFQqFQKHYglHnaPCjztFng8/c8LYJL5pkECiNF7UC8KG0R0L2cyGfSzRHSPtQVkz9tvHnIcLWNSut2M90DaF/QuiBRn5R2pi1Zax/NATIUcq7iKnqRzA1akuC6MibT9scLWJWRtScItwNmi6YTgcTAsUEn1QjFGiAAsjM3T3ax44kNLzlDBcfJzS+vGp9Yr4NULlaXFIvRx1bUPttrJSfJgYM2uNcT/AuMWp2YOTd78lhQzzEu43PKkRUx29QVhi5C0j9F2xBdU9WRSBzLKxPb2PVNIcF7whn0ejYLkwQz9jh6lntesnyF0d1RWxLl+2N3z9nSuLZoCQI58ta2NKxRFr+zhAe3z3PPdZ+i7gnrStwbPjgmcciKnQllnhQKhUKh2IFQ5mnzoMzTUUJrCG3LVYhGZ8FKlr4lFZEszPMnI/1QG1ASLRIf1UVRePX6yTyLruMjMTTxC8qKc6JkuwlTIjFekDJjpQ5Lbh1dthF70yytSUpEwkkpW3iOVSkRbc4sEbylQEu6F6wttQ1iSsL5+bJ6/5i16kp1YstwF4oyS9wawbeJXNRiLdF2ZJdpVVpWS2K+6vU1CwVM224iOLHaDPJDYVkqy+C5Dbw+htlWBBpArunp0L348HekWxLlYtQbVuNOfd90Qo3RY0oE5zYbEl0h5NWW2F5gsCQdk9ddZSQKkO2LtghVVScJdzrErmfQt7vs/8sTnvsZVDdtuisaqcvaGPzbVl7VT3/aW1u1yVCrgs2Ddp4UCoVCoVAoZoB2njYLqDPguiY6IsHRXsoQj3q/4KCyLQFu30nYRHRPyUw8+9wt6G/iR6CC30ngA4NNAO0EHZHiCA+0TmDWmeXNiJUmEabHINTjj8tpo0Q/HjzeKjPFsFvwhfqm1qg0q8ch0XY9NA9NpFiTfBPYE0mfA7hhdU9rOaBjms/qITCPupPaOytQJ3Xy4KD3ecKkxGHZ63utoP6Km2Faf6dkxF+8HPYZDFquL7JULfI1C3ZPS1F2NLVR50C9SiT+7TPAT0XSkuejWJrISYUJi5KV5LoJRptRFaV0Tly9FWWwQj0RPVex4WUfMSK8l2gG8JaoSCw3637XUf1UdA/wVzZWz5ubYLFS2ratgDJPmwfVPCkUCoVCsQPRNhibpQxFDGWeNhE0pQAk6mxNmsuj8VoLxvIZq5MaMUnskhAhw53M25BKZJzMhhFE1ZAV0YgW2SZI3zIWR8RUT9CmF6s3Zv/y9rLEwKBVQr0M30bS1kiHZPVOQn0YfYesjS2PlbNruJpMItywPY6x6kFV2JQu7CSDXohG20n6J0wujHXB9sgyUZbHei+tM66I6qRo1B09vjrarnZFrxMDy5oojuba9diW30sdu8S+Yx07AFEz6Y4Cy6UoXJ6CJRdYWfSMEnWCSfrVt63LzTvSLEJV00pOhJsTLRaJ+AuOJ6nlZM+WkBC9fveRe6U7442cWoeUCevQFRyvbcq7i+43U3oexY6BMk8KhUKhUOxAoNHlestQxFDmaQPx/k9fnFyX9D0RNxa+t0WERHV1b1NihBBtEkvmGZdL2JhUVB3ZZrDUDBmjER/qJQrB2VhKEkoiAbF+P/pOIcU2ZfGX8fIgipJD5gfn/Q+NIatoO8tRjMretLfXPLFEuIEzNtkWc9jNF+NIC2S3Qa0QbJONvfcT93Syy8BjikToSYCyV0iGaIy8s/nlOqL1ZsG+vHF0B+BlpbqtXflKsAyOjbJ28H3v3HJAsEQvfccIJqch2jQsbQQWi+LqTtzd/RDPlA+Nt8m1N8pHJ0S7lotz9fPH9UKJSMGmDvowkj+jCD2ie4J6ErdNVSBNtUFCoeh9Q/6kzF7LKySV6y6ZI49Wf4z8sqrmafNwjFziHYhmHij5UEXUMO6K2U5SOvK10sRgzElTRZC2SQkwvZA9VQ9ME9AOTKLzFZTNRayunKDDBGJWmqhUqJe3K52qhlRupw/i6sOi0ycVOzuDYiq+4/1LxvYLQfQebwQdnP2rC0F5QRl2WhCm+ApfB5bLjSyP2BTx7ThYhkmXeyXMZcB6ocPEBeKwbFe2uq6pu2lV2c+4moLdpygYt3W5jqxUV+olb2MY7DHjyWTPI3Y06GJMEJ2875lRa+p5FMXd4S3ZFoaPU+xhihO2UQ6eBM5eQOqYwI2OKVFa6syXhQfIdnyq8Bkl0231VBdM27H3AJMs+GXQVtIu2DcSV4OVAhXAC1N4xbKUvsX0gwtqifbly/qODVIyBexobdwYQ3GMQTtPCoVCoVDsYMH4ej+z4O///u/Nj//4j5szzjjDZFlmPvjBD7I2Vebiiy82p59+ullYWDAPf/jDzde//nWz3aCdp01AlG4BQUZHxWoLFc6E1nTgnESLGLJ132BUKxhi0m0SrBKMeiWWqknV4ISpbaJVHJWicJ6Jyu00HbV0YGyBZEmQeubzcSYQXi6MWpgyo+aXKQqbDtDtdkJqloZMqzc6MhlGaVWobQFgaUyTFNf3Fa6vpxSb5LmUraFTXpItAWWQpGk9juVy2NTv6uBtX6lS9F87IKVLm/kmHhOwXGCTYAXjTjjebBszT9TMtPfzQK59VwJtvkvEPKROK51aHNVK5zZLDbjvxWkgDP1nIu46lVK8nWwg2XIy2HFRE84w7QsWlgXpToJpfiIgb0Xe4/wl3lFo/4KMGLVRoccxyzu0hHdOlzqgB+t1znNfb24r03aHDx829773vc2ll14qrn/Na15j3vjGN5q3vOUt5jOf+YzZtWuXOf/8883ycnfapWMJKhhXKBQKhWIHYiusCh71qEfZj1xWZd7whjeYl7zkJeYxj3mMXfaud73LnHrqqZaheuITn2i2C5R5OloMVI80D8G+lRCyzPUBuKx1JI3b4DBS2IeaXAaNmkEf40ZtWI5klFmO6r66N9eTQqqPLLUkEW7E7vXIlx2n8Hcg9m3TirllOMqCZLwIz/SwE831Q1KzRd2TkHKF2iO0CczpSBBF2wemCwGDJCUJXnSC69BigDE7bKjPy8H6rG0AWimQc5KvUfeE9gRFllnt0zKyZy0v7ZOGB+NyCGsHt5Vt4zrCyEn2lxhItOIpo7oZdiOAwW3NgCArQvbBuliCWlt2n8fPsbTBpZNSIME/c6Ew31OvpL2QdgXrTdbPAzVa2plkzSVrFlJuNi07Hqx0nXYXrjVN6Es9K8XbnCw43Ab2h5gK8Vbl7+ltjgMHDgSflZXwndIH3/zmN821115rp+oQ+/btMw94wAPM5ZdfbrYTtPOkUCgUCsUOBHrSreeDg7kzzzzTdnTwc8kll8zcHug4AYBpooDvuG67QKftNgN8rl+AZ0SsFiheF0gWcmNYbllXT7iNmdLRXpq9CTQAPXQACJsMdCFn0T9u5OuWDY6UphomImVcm/Lx1I4Mg0geCjgnGCFEt+PGnCnmCdudOjaib/IjycCMsmGBkv8KhWN5UBZqpyhtThknyiCB9cDEufzF5pv1PqvTwlsFICNUWxc02++fLpozBrf477AOIteQZaKGmTxyrw+g/rEJ3QgDs80MxG+19mkuYyxHC4BtCr67YzpreJP53HS3Z7dAc4UGmVwbJukyYD+JxePLKCtha2LrIZKzpIfD2SzYbzBDZFXEuMTPvKhPcky0fXbI9cN97XMyLmNmh7bLsb3Jx15kZYmhJYmCS7E59pAmpSlZlF+9rTPyhGbNNT8//hnnbLRNTG7k9Cxt0cJrYKXaYCMKeRotxuBDihfr7HEMsUwtPwUzlQG46qqrzN69e/3yubk5c1uGMk8KhUKhUChaAR0n+plbQ+fptNNOs/9ed911wXL4juu2C7TztAnwmp7A06lhZwKwiJV+Ood+7eAj4VRKFVouNZALzO3oZlKkjbBdU1CXjqCKE3mC9inMeRKVOTrIRt9CHcUyizzyjBvxYXIMHJN/kObFzBFFr2gUsglnoBCLg3GzTBrNm9LM5ZOZo19gP2SrUOdE2wDLKIMlm2qG6VmOlI3HFO671oTA4yAlS9gu3oYUuGkmP0Z/ravEbcf8n+z6nqe5NpnsZhyshpHfp136GsEXLXiOhdROPNouiqjjTI540xOtVOK4BkvTMKk3R8bMeP07o8cLLJvhenRprqymrEUfikw8kKod16Z3Cp91sj0b7TC+3s9G4Y53vKPtJH3sYx/zy0A/BVF35513ntlO0Gk7hUKhUCh2ILYi2u7QoUPmG9/4RiAS//znP29OOOEEc/vb39485znPMb/+679u7nrXu9rO1Etf+lLrCfXYxz7WbCdo5+looCW6y/7JR28SUyJ4kARajZaoO+75AnPzUzIiRO0T1UPNpiFo2k8DnCKvGT+SzQzIY8zqlKSNyLxmq6pIWhfQR2Fbu6IKpWVBG9h5T6TqQM0TjSSbd6xQczih/wmMzhZHY3PINI7eASHg/l0tCzMqYodkW4YXaIZt4X9DXdA2YIjqdqKOqWyS+spVeFw1Pt4n/408oty/wHKF6VnQZ6oZfq9FO8UBhAzISWrmqj4mimE2MStVIzqqdU/g9dRsd/zosLnuyO7gesL56iI5QhaoeYiQyexKWbQWZmRlb2EWlzktHLYF9DU5Rpzh8qSLOO7kTiSYii9PTTnMm2cT3zHUuVvwVKN6oNrDjTO+jhkmi1f3FGa0X/b4Qs+lKNNCwkGcM/bB8bfBOp27k0Gfe8aegSn/YInWx/5NFd+1HX+fs3YfI0TUUcG//Mu/mB/6oR/y3y+66CL775Of/GTzzne+07zgBS+wXlDPeMYzzP79+82DH/xgc9lll5n5+TAbwrEO7TxtBhKzF9NhZnIS/hyJRHuKuKd9pprtS2n2R9bbAQw6QrWxDtJp8sAfHSeE9euZcNV+hyJ2L5hsvws9h5c1nZZwf/NpOWp+F7eL/W3TpcudJN9e91tSsu2osBu2h6m1pQnPxebOAQrFMb0HG7XB+j7pUfYtLJul5WZazHaQsqoWfGMeuwy6MFXc6SN58uazSS0ad8JyaLW3OUhMHbahFpyHdV4/3WNuR0TqawEc0ZztTUOfL630t4L1Kk7bwo+dLvMjb/s4kE44EXvTv+30Xcc0kBWHj1sE5G2YIT1Ld1kw4HACbPZs4Hebl66jjspZiMQrhAGI2I7EvnQTELKnciLZ7eEZrZICcy8ytx3CelpS9D/N1t4B8rdH3lIm1ttjhtoGGWyxeNzmyVwn8zSrTOChD32o9XNKAVzHX/nKV9rPdoZ2nhQKhUKh2IFISdpmLUMRQwXjm4lA8BwzJ20khB/9kCJ6T6n10WOWcrb0cKrNDvfJTnJZg+Vq7Xddz12LFWqaJ+9PZpia1RG11xxHYGApsEKSULJtFOZTuIzbHyuoJ5UUmJbvjR4J6rQkMcPCxdVxu+P1EoMjAVgr2+ZEwl4AMlJrNcqUwI/z2vG+2nLBWRbQbZAhxCnRNoavGHV7CtBksbMyHJ0Q0qrQ8oJQ+sQlooc33L8kbJCom7M/XJCeJ4TSwzxuG2Xv6PS7Wxc/e5Wp0L7A1sN1CB3sVA9Yc+FJep2vKus29ISp0653rWXnq5Z3DbuXFDsHyjwpFAqFQrEDsRWC8dsKlHnaLExDxe5M91/HCAnB9L4NOHtkl0lDLaqLIIuF0VabNsO3kYtridh0shiaK4p6BxQeYXtz90mNRrnWlImzZeV6sy9/KVh9QFYFmiZkMGBb+vfcoB7eRk0j+pfxJD5myuDA32CQyWHZlLbrTi7Q7sFqZyj/DZM9cRlk21pPFTNc9bpmu6+vxj4sUp3rYZ/25fOiASi0x5p9Vpk5fnA4WCdhXNYMXWRRIIj46+XMjJGDsgvIKPBD7xnQwO09GvPL1kNqKTsl4iF/A4NcJp5rpytqTxLs7tkVdr/mjbBebFrV0WbJDHSleXci04Vts+WBaTBNZ8MOX2ToE6fIl8PXo9Be0HNKdXVqraqt7Tyt96PYAZ0nyNR81llnWWU+5MP57Gc/m9z2rW99q/mBH/gBc/zxx9sP5NPh2z/lKU+xAjb6eeQjH3kUjkShUCgUis3DelOz0IAZxTbuPL3vfe+zYY8ve9nLzOc+9zlz73vf25x//vnm+uuvF7f/xCc+YX76p3/a/N3f/Z1NOgi5eR7xiEeY7373u8F20Fm65ppr/OfP/uzPNr7xQkguNaSMYFmcxJw7WwaZPWa3Fmhpm7iPkMTX7tv8ae0PSHROmAQVw3/4qJUoGnGkt3tXnHyURu5hBHdKDxJE9SWOZyKvkA6xTT9DB87+JSNpqgTYZMBW5xQeCKZ2QdAkxU1d1C6gSbsSG0vWUXrh8TRReynAsXB2B8uBNkO5dTlVoIEatxhZppAnrCKg3PocNVtYq05mR1C3t/1VJo2esyJmmyJDVZ6AWsB03qXlSbC8cKqD6LCIveDvBrdNmUgyTlgRX581pIQwwCwokxraWtByKKj+iuocGUvG211H+pHo0qTWKlQvZ0vjmLlzEZfdqa1qRrotDVUK0SOZYq/psmkLo+/gCeRuiahih2BbdZ5e97rXmac//enmqU99qjn77LPNW97yFrO4uGje/va3i9v/6Z/+qfmlX/olc5/73Mfc/e53N3/0R39kyrIM3E0BYDMPrqf4AZZKoVAoFIrtDOyvrvej2Madp9XVVXPFFVfYqTdEnuf2O7BKfXDkyBEzHo+t0ylnqE455RRzt7vdzfziL/6iuemmm1rLWVlZsZby9JNCwC4l7sISE+maWXUD7HuH7iBM2RBv55mjiL3hw3FeAY0OymJjPV+nFMbDnk6bXBZ1CLXeSWK8ihXQabQzbhh1I6fFceUMp71YIgTPNB4fitNoUHNLxhwhWxKkaSGRdhKzAv9et7q3F4WO5pE+bYpwbG2pToLtyL7IVp06uDW9vfWVmv21gmlZplXjJUUZJ2DUgIVClguYpt3EiAzOHzUutYwVRN+NEqFXBBluws5Tn9mKgMVN6GFse4gEEp+t6LI4xkeKUquXy1o4rgsqlqfi80a/+2eKPmu43C9L1AVGu5AkHB5Vp3mStrN6IsegW9BbDvN+S48dYZlpu9vSW7Wx55EWUqoS7gGR5afvb+ndR4xUO96vWwF8J63vs9VHcWxi23SebrzxRjOdTs2pp54aLIfv1157ba8yXvjCF1obeNoBgym7d73rXZaN+q3f+i3zyU9+0jzqUY+ydaVwySWXmH379vkPTAcqFAqFQqG4beA2Y1Xwm7/5m+a9732vZZmoDfwTn/hE//e97nUvc84555g73/nOdruHPexhYlkvfvGLveU8AJinqAPFRkLFytRM5wbeZ6iXBo9KD0DXNHUjHdBQCJuD87HpGGhDok6M0ku1IdAaUNfflq524M7LR65CNE4GUTv0HHlNFDI3OYSrGTMcuJEo02G4UXhdX9wWHA22nWeJxZE8mCCyris55jAvzVRwMaeQou94OzxzJWzHHcWRZcqdozkwQ/PZ2CybIUkALOulpLLC44kHDzlhhLBcm3TY1tVsP2uCYCqxsd9NZeAWpZorOEdFXppxVYieVjRVC4VnCPHaJPMHtaBjM7xdJN80DmRjRJ+l0p3TaWWmCfZWLrRjmcAcZ64ubIPE7k7nclO4NDL2crNbyWoybdoX4ZnHqttOid2n6+SCf1tucnAox32EXcoBZdIoBVQzZfadAMfJGC/vzt4WLZe6nRN61NCza2u1T2pVsHnYNszTSSedZIqiMNddd12wHL6DTqkNr33ta23n6SMf+YjtHLXhTne6k62LJjbkAI3U3r17g49CoVAoFMcSqg36KLZx52k0Gplzzz03EHuj+Pu8885L7vea17zGvOpVr7KJB+93v/t11vOd73zHap5OP/30dbe50RUkNqC6Axa1ki6Uls+jYdw/ecuIiUe/0QF4D22AbzrJORclKHYolhKu4IFLMfOfwfPQMvKWNFxxHbStLVF3rpDJ8iCpfcJtDo1HkbYm0EJZKsyVIYw4sWzP2rioMopdw9Uo2g6B++0dCo7SDMBA8Ug8CmCpRk7s06Z/QrYJtocEvW0sz1pxSr4QaZ/qepobGJMY1w7rkBg4jgbkCM5t26aUNRWW82Vr1rOQ52T2fcPGBLpCkuS3IjrBSHsovF/KRZdD0T7HXdpLeC7DY7F/SrcPbMfeQ6hdwjYGTSvyHr5V8TtHPLY13J6eoASLNykZNEuYHOznoyzJ8oRTu2LnYNt0ngAwVQbeTX/8x39svvKVr1hxN2Rnhug7wAUXXGCn1BCgYXrpS19qo/HAGwq0UfA5dOiQXQ//Pv/5zzef/vSnzbe+9S3bEXvMYx5j7nKXu1gLhI0GJsutv7Rsx2dMePefT4Hxh7THQwvTd2L7gqlC9oILsq/L2/ROrxC8jPi8myBsZYJMLtAsVqQ62BRpz7sdxca0g4PJedsAnZ4+qT9uXln0ZUuwYfolTrtVURoWDMs/MF2op7P8FJoTXbsD7Qrf7wKUvUJy3lDxeLOsnipcDyB9MQX+5keJfk2ZPDb4vnduObSOcB3dWachKrAwoN9Tv+Vs0NHV+fDb9Bgk2VzWox7Xb1jIVgepOoUi7fMnlNE5HUmP3wvO2TZl5dKTuMAP+ngIxWarse7Ad86i6ceW85gIErHjmoRFDE3PAnVK5p+9g3eOEahJ5uZhW2menvCEJ5gbbrjBXHzxxbYTBBYEwCihiPzKK6+0EXiIN7/5zTZK76d+6qeCcsAn6uUvf7mdBvziF79oO2P79++3YnLwgQKmCqbmFAqFQqHYttiIeTdl0LZ/5wlw4YUX2o8EEHlTAJvUhoWFBfPhD3/YbDSyMY1LJiHAqe0TN2dXKH53Q4RFzrCvqaS9Dd1xsOEINGgzmabwy6RRJDf8AzGrRO1TUSizMEgKM6VpOFo0M7bsg9FgYpbHTQoXCVVZT71JIzdkk5anA5ueBRkWy3DBcbEmI+vlQ/h9OD6czHZ24mA5b04eHIzqRlG2/bvDMBO2PTId2ek9ZH8K8i+gawqtDdMKLAigPVNTZLUBp2j4mVXmxOKQuao8IZqWSzkh16RHZeC/kPp16yk76e7l4P4VpmTs17LHNi3sh69/VJhsNRHZGwRRIL0l3KsucMK2iTPbcKNjMl4f8h/Qc3UVy2NjFsFkMxEsgkl98ZkHSxJkcshzj+lOOtO9uHb4LTh7Z/+NGTE4RrBi4KwcZ82jurk0gSzn+84ELp1gbep4tDYfG8EcKfO0/aftFAqFQqFQKLYa2nnaLEhMExmhFKt1+Ky8r/Ehy5KIOxgZtw0KolFWhz6JG8Il2hUsqpj2ieuSEGVlylFLcmBsy9Jy2A64Q8uEIDxrHwGK5xcyO4wzgfByI2Yn1qYpUdBojuqfak17xXIbO9YocU1sVglIa0IaKumSkImCspYIw4WCcVxftyc3t04WIpE1ZW2gvt3FcjIxcF/4+hNaqpVqbdonKhIHLOMxsH8pIDlwZ7mpUXdPljVHD07O1NL7hsZEJK47kY0l6+8a3MvBH85gNgjAwLQpbDv4Zy5mSzlDY80vSTstOxQ8Z4wJarGg9jYAvvC4HPkZhdRVZZq16dCW0WS93Dag3j+9L2cLS67plOoruq/hVplmqsP45mHbTdspFAqFQqHohvo8bR6UedoMYLoEmoQzabTG9D74ZxvzI0XXVR370G2FbbxWKaVF4qNSE4flwv5gqhdF7SErxO0KfASOFHbDI/2a48NIQToaD0fHVEMhHLtbBhFt/hB7vB+6jCWlERpPzSJhhHlkEsadgOXJIGC+AKg3wii4W6eLaTaLlQs6J2SnkNlp0z7VmqvSLFe1ASeyXvSc5O4kzspA0WTCoH3ybY6SHIfMFz1OTG+DrFydO5Ywtx0sb/M9DnlHU9nUfjRKyyJKi4IsSKMTqrdrti24eabwDsgTSX3p5c7ATJJffpZ4u2t5J0tiUzCR95w/x1nUVjw3EnMWMdGg7UoxbD3ea7V+LdaYtqWlkhI2S8mD0ZqFb0NZrug+UcZmR0OZJ4VCoVAodiK60iz0LUMRQZmnzUCPyDrOiIhz836nVCRZYvRJRrTNBlUzemqLEEl4oEjHgOVGmpA2fYRj5MJ0K3Fbq2Vn3JSI2oHjHR2KWYKwwpZ1uBhPiTsojGyjSXpp0l4E9SDiaVlsWc4s01PeyIQw7ygEMDjzxSSiyRtjzcozTJRxoVFuPBULrIPINcoyDZ2JGEa0SRg6JowzWNTn6Ug5itiqtSQEtu1E9sXdE3hMZw5uDrbD45sylqlua3yNPCvWoQukJq8z/VgQxsLqXjp2sxpGuz2nlEIGQ9yGsCnRs+PSpATPCd2GmdC2PnvkmCRGif6NCYjbGBbJTy4qk2qvePs4Ky0mFzedIOSuCPvKbJFk9kLb9d+i/odqnjYP2nlSKBQKhUKhmAHaedpM5AIjREHm6HFdm97AD/LbRgJ0kChIJKLUAinWiC5jQw9J7yCyXYl6PaY4cmUjZs+QZY1nFtdGCeychGI5ESKYVU0KFBz1J0ZZwATNFRMxnQo2DbAwnMiRVAmfJ4CY5sVS7XE5ECE3R4bQKYdyTGUSlpsH9V05qb2SAMBKhUl45dcC1G9ZrAQzM2tCYF9f8Hd4TMAuYVqY1jJs2pb4PPtEy0FkpBBtKSR1ThJQKW0hf54kcO+2tmc5xQ5z/yXLJJPjy7JAn5j0PELn8dRzC2Wj3Xv07nLLgfGSNIu0HrIPtKXL/6kTtP2Bp1JcbnCuHePe6sjecW2CRyNFqm21txNFtUEfRQTVPCkUCoVCsQOh0XabB2WeNgFR4ksXaTMdhsuSIxV2r/J7d+oyx8RajcRoie3Pc1VF5cAyMBvuGnFQrxbvXhyW69ktMsK154ffeSSJaVWViaigdFOSbuzUPZpsa6vMQ00SH5C2Rdfx5MA8D5stUhjRrpZFa047+OydbzyZpG1rXVbNAtXtdFF3Ce8m6umE2idpW+6rRFkum2DY+0w1F++Gyd51uYsDVqvKeaWH7Ni0JdrOsmXk/B8/Ohz9UNTME7n2AqMXskCgHSL3dIIx5b5NTcLbFvaWYGWvIK7JEr5p1JE/emYw4y6hTl1ZXl9oveISWiupqULEb9dv5+qeouO5rCItZegkTpBa3tUOnhg4sa1N/BvUx/7l7BKvG091V45S9i5W8mbnQTtPx8pZ7Xqxzfj0RRnVhXqCThTfHFd1mcRJ041eaMq2LYXv8Hu2a54tr6K/i5VpexBJRn7U6IuuZVrSd0yIzyCaYfIODUz7wPLFQXsYvu1UTZofEy7+xrIHM3D7KGKvReNlY5JJEhjj8dBO3Lyb7gKhN3ZwUlYIbRg7Ja3tQLGTiCLuNgF6F6CEOSc2n7aUc+3kuI5yMjMqptG0nb0G5LCLYWgE2cvOgyA6g7McOunk25Qq5HmMk9CCE2tH+e4Z8tukQv2jAVrT4aqG3Urpahh21MTbqM1k157nlnuvdpmNjqE24Ww6W+Uw95YPqVs5EIfTji2RKojeqT0fjZT5Lv/bdtSOBdJGp+w2BTptp1AoFArFDoRO220elHnaTLCpO8mgjcOPjCgtzJltV06B6SOiQthUXl9YMWdYTh8MluMpO36sk0U2upVGobWzodw0KzadrV1iYwjTgJYCuA2yQkfGdRi+BGRuFobjlqm1+vuYMFAUnCGSyq/bF66zyXiZMHrvYFmc4vLJg7PS3DDZI9oO4PQcbNvGHCG7hNOYUrqU9YBO+x2fL0bH4NvskhGfNDgYCeC5mD81NdoKfv9StoIux795Pt++vzEbEPtNAzQGt4apd6LpQ9jOp0/KBOaqnrOOhNwpBrkNdPpder9hkmLLqPH66oTgGWOZxWpcAuKo/MS1SrWHgpudwtRplDSYP5PwDk5Nb9L6s23KOin7lIR2nhQKhUKhUChmgHaeNgsYhm/kUQl8tykZJMhEhliGCHFOPlxoyYSMaJ+cJiEpvE6VS9oxHbGEpGQUGpRJ7zocQRN7Av+vTdfQMmRjI2zvPDDlo3BBfDqNtTB1tUTvZEL9E/7NxeJhwenm0jLw7/miYbCQjbJl47XJqkDHw8vA72h+2RdURC6xNMguedYpq8zXV0+LtuPCc9AsYZqWvqCsFyi6sD5JiA4icc6y2f3Y9RiXeed1yXIuMoq38SQbewYjm49EHVLZ3GQWxNRUwxOF0mPalWTZ7r4ZERVGwJY04nNv/cGbjtukNFYoQF8lgiLYxeq2EjYsiTLs6uVJJwsHzA8/F7Yefvlb2KZo3xSDxdtr3xuVoKFibfTvUHOMItugj4JDNU8KhUKhUOxEbMS0m07biVDmaZORMVuAWebgpRFovSL8ClFms0g8Ik2Eq2cyv4YRhjRiI6PzqF30jsNoI56YdPcuVmYdpu3Dx8taZ9V1/qxX5AyHVEfVhezTLKLJgP0g5RRFmbRAqFO/AA9EtCIuuk8s1y9zmh8S3o+aIAqbnkWwJWhLApyqE8s5bbg/TJeyTg1U7FpR65egXBtRaG0JchdpWGu+gJUCvReyZqlkyPPzLDrS+UIGiyZdlAX7zjadwnOTSmfi7lf48AS0vjjc3uuS8ACENvRglX2ZQkLemMlxzx9Nsk0jbLl2ygGiX+uot/CE0tsGWJ0olRNln7oCToNIRHbScqeBFNPYhN+pfi3FkInJnzlouT3Y+aAZ2gHZcVDmSaFQKBSKnQhlnjYNyjxtNvyIkQ15yQiwpOaZCKbl4cZ8Qdmox0jYtdDR1nSuK+QkPSr0o9Zo9EaW55nsMcXSMmRLwlDPJjnFaJzMmMk0ycCh5qQP49a2TTGs65DYJgSNrEPfJ85EDfPSDaxjHVVK1tFmwum3IYmBr1vd28oIAXZlq948ss28MmWoGSUWJucF2SrLArm20/XNdrO/VjAty7RqvKSAZfJ1WgtNGiEIDFRTDzB3kXGpvU4dzGFfHWEPFjdf7XE9VyFBt6u6bXOB8WmMJcObqjbldexMlpnB0jRKtht8B5Ts+gvJgqcLeXtyYpumST4O+q7A9km3XJg+pYnECxKlD7D9rGzS7ulonT9l7jrGgbM0/E7ez0fkkXthLcGemwIU0633o4ignSeFQqFQKBSKGaCdp80CY0u4Q7aInol11zqqoRokqQwcEQc6CYiCk6J/WBLOIArJAUfAyTbTxKR47MA4AUuFo1A60vWVNe1sk9vgoEnUVrBDmizXeRvQyZsj5cuUgsRkoe8TZZOCOqrM7B6u1tqrFqbq+NERvwxYJizHJu11e2L0HeiS1uJ5RFOz8PppehZQa9HvxRoic24/2CMuD5MVZ95dXYq2S7W1KYCIXhKnoxzI97TkHr0uJ2pajcTGpBLt0rILcg4iXRMmJW/RTNKULlaPJTxnQZtIWzkbQ7VHEuksXS7m8xQcT1AxLwzeR8JmWFQkaMPjclG47P2H2rBk+hbe/h4eeva94/bZatKGvl7X81HE0M7TJkKa5gpDnckLTDSNnLVC9w8+uGKqhrpeeEm0mrrZHxO2QSLnU5AHjEwptE7zeRNQyKvCC2U7SClinK2C3wR8Av0LMSFkL+LOCp/OaROLH3LmmdIUkJ3Og2mu0dSXkbp8N68sBMLoeKpJtkJoBNqz3RjSFB10LkaYvkVYj53FcelSs5BcenWHrdlnPgunYDFHXV+Mq0kwfYfTdjBFh9N0807R6/Pv2U5Ucx6gTcfNLaWvr3TK2Lpe4fbCdj5Uv+dlSQ4kWKdpOtc2MmASACoLQCE3Xc/3cSgXRy3np8WQ0uXrtH+i0SZF3tgY+F34eyGFZKBMy684fYd2Fc/y7NVtol/663zaDDSPCa1QtUEfRQTtPCkUCoVCoVDMAO08HUX0nT2JZkx4758yLKLIESvsV18gzuTTCl37MlZIIkV42oN6YbNhIGTFEbSbcqCh0JUT1gcCTb+f0Di3TRMi3nZCHFsE03Ys4S5NzmuTzw4mIjNkWQ63XGKnkJFKTdvRulKmmjBlhULpA9MFP51FQae1jpRyqhm6T8pgkx8jNdaUylkrUCy+4hgonG3iU6VQ/3HFkYQtQb0syviRuk4tqBhDKd7TgvWAaOgYLAjvZ9vueTnKIzKeTLExwyKoV2J1rHmmnxaXi8mXx4ytotYLuBHbnx1/XT+vvIUNkwgtasKJy/AWc/vn1iahQ+YgsEtdASb8PRVcAy+6F3ZsYR034PFYH1QwvmlQqwKFQqFQKHYgRPf3NZShiKHM0yYgSIGQEGIWK+khScpMT65sxrbRETOrQ9JyhO2iI1xUI9ZtsPooKkRlbbN2C6OeyYEhjBp1HEJZyfb0RDbmVFtTPrISg7xJE5JMxdITnOlANml5OojSstQh9822h8cjz3r5EH5XHjJBt06chordMMjGUHbIi8uZUWcbYNsj05G1JYA6gdlCnRT+C/qjQ2WYoLYvfEoWMAyF/1zTIsNP13aoq7YqCLVi/DjsufTf5F8R6VnAzazMqoPFDcTDa9A8tTITNIiitUDGAFNWliT8rWj6FkTJmV+6ThZf01RO/HgkfVRw2uF4U1pM8kynRPOp89WpV0udQmSjEusj3aeAPhYxWwbVPG0atPOkUCgUCoVCMQO087RZyDKTJ5JwWoCZpGNv+kb5+NV9NU0tOiPxe4chXC4kJ+XWB0nrABxJMv2Crxe/LzH2Iqch0q4IGEBLmiemC6t1UXz07EabkWdpJaZGwebBchodV8uyONPDoreAqXEMFh6yxA6NEllF66wZ8YVAhqVuj3zCOWuz24YjtuuXupILA8t0pBol6yzcNVyp+uS6aDCuSjMlFwOj6HxknVDfSYOD0TJJpxZdT84iOqPHVnKxKxKrY2QeGNwm6rHJuTuQT0qhbvfsOMsBGgUXbEObIKU9IXoivm2gL8KE3XR/3IYC7Q+kw3LReb5sjrYoPrK+D6JbR2CZekgh0/YRAoktbrZV7I1qnjYNqnlSKBQKhWInYiOm3XTaToQyT5sBSedkTeH67Wf/tBINYujXtq9jWbpGN3b0JG0TMDiMEZphdAf1F8ulj4aLjDNxFAeMHD1HfFQHI9KV1XCRcHxRlKBwPG2DpmmZN4e4jsHVZNqUkzxlwa2QPq+SdgewPBlYbyXuC0W1QLdOFy1Lw5khGj2IfklUB8WZnaFkkJlVZphNfNuR9aLHMjAJ8UcHpqQMykDdfnBLeJyOLYN6MeqwMe4Mz0tNkCS0PIyhDCDsIyaNZXo+a9jaxRgzBjUwlxTaEhBmok6oitZljh0OtVzhzdnKTFlGqPtHF+osljENTLNv0/bwuGwb2TFEGkhgtCKmKOHSKLCB6J0XvHfccriGnQRKSlyduncYeiUXVuwYKPOkUCgUCsVOhDJPmwZlnjYDLXPyTVoAshBHTfg1ESkSpQVoiwDi6RJ4RI00mKsS/ijRhrTteEBC21hKFa6vSNI10Ug41i3BSHZ0OMEsEAyWSKJedt4yYV9kL+i/1jk8hyQkTX2UHWr0UqyZWSV6CknO4lD24qAeutJ9qF4H9qNpU7gzOLp+ezduaDc4dtu0LbF+iOuiomi1KhXtlov+UWtJCFzXWwWaKa954j5PLaFpeD7pMdjr1RJJFbCapWNc1gPpWUNmirAhbfU0LG28kejY7zRPcGr8c5Ibk9PnuGxhlvukhJLcyunfbceTilZreUdKqZiCNvdAxK4JkYH1dk01GDXXen0Iyx7sTzSYEcNI6j/qqDboo4ignSeFQqFQKBSKGaCdp00GHbxHniHZDD4mfSukA0Mp6WjVRPZELt1UpjBI6DKCwhoKJ+lyTuoNVqdGnlQDBSNqjFiUtFG0bDFqJ9EezD1HksTWLJFJOn8Di9Hl+bQwnNQMG0s+i0wS7A/eTrT8yKsIkgPPrUTnz/o8uf2QEaodx2cb0mJ9350c35KENxeTA0OEnmWxSJtvnu4m69f2OhlTx20ejWgyq7XibUWWCZmmPYOV2BGdMH/1NXE6O/+vcJ9CAuEucQxnfvH+489TAqt7yHmCfQW9VDWEhR3NKGqqJNqX5YuMmFu/goWc2mW0oKpJLhxpw9zy0pjJYktSX8rGOBZZak/ESrchS2hEhfdD6NJeRz6mWClE7+Cy7RCEptF2mwbtPG0wLvu3V9cPJ01+29VZCCjy7od5ymZMguk8pJNJOHG1xvDo1mkM3m5hCsA/d2wqwp4LklW9WpwL96tYr6+qTAEh1C00eGo6RHr20cIgCGEX7Aua6psCcGoNgD/W9W8V6XxMBOF0S8esL9BeoDbNbBL14nI+jTfvOh2wHjtEkvGkNKVHsVyBFLypj2PWDly8P4jRoeuVB+eVt/W68b5AME4B5wOu05BYQ4gdpLZOPbnOeN9IlyuwHiA//MnfGH7f+mc03jSqT7L2oPVSqwLBgsBOw7d1kGw72n8G4LjKUXqbTqG8+G6QRo7EGFdYb9sBncoO2D7/rB0g3hHGvxPb+2vXcs3pfVJtscP4ej+KHdB5uvTSS81ZZ51l5ufnzQMe8ADz2c9+tnX7P//zPzd3v/vd7fb3ute9zN/8zd8E66uqMhdffLE5/fTTzcLCgnn4wx9uvv71r2/yUSgUCoVCodiu2Fadp/e9733moosuMi972cvM5z73OXPve9/bnH/++eb6668Xt//Upz5lfvqnf9o87WlPM//6r/9qHvvYx9rPl770Jb/Na17zGvPGN77RvOUtbzGf+cxnzK5du2yZy8trSzUhntWOKSU7oOcjM8ncbSNCY0UhamLqDcAS/8Y7Q6qZxugzNUqZLAi3mjP165WCQmoz/dtR8gGkaUnSviJ30zrEoxO+L0+GdZMwDN4ZLVLWKJVcNhR7x+JvKMOG/eexISUXkUP76FQh1u9NMk1ldhcrYRnCzQZTa8gOYVk+rYpwHJyBwlQuln0C2wNyg6OIm6Z7mRVU27w3r1PNSOCsHW97lEiYGJ8GVhEDxqBJJEiPw/Geoi3MVrwTrwcfHJ7GxE1vUYuTxNt6cGA53IYfD2WnfMX+hk8y5HLYvpvyzGZ4t9DvA3YQlGGaOiaVJwcW2pFNmMFmKsUMYwUj+5QW0JQ3qYCeAh1VaHm87K2c9doiwfilM5Icm4GrrrpqU8vfVp2n173udebpT3+6eepTn2rOPvts2+FZXFw0b3/728Xtf/d3f9c88pGPNM9//vPNPe5xD/OqV73K/Pf//t/N7/3e73nW6Q1veIN5yUteYh7zmMeYc845x7zrXe8yV199tfngBz94lI9OoVAoFIrtjffNSHJsFmDGCWaVjhw5cmx0nh70oAeZAwcOmKON1dVVc8UVV9hpNUSe5/b75ZdfLu4Dy+n2ALiIuP03v/lNc+211wbb7Nu3z/aUU2UCVlZW7DmgnwjECDI1kqOaoyD0db0jFzpP3WPU4NtBU8WsYcRB9xVF3KmQaboMGCgq/LTGnjDKjEPJU6PHQJrj9E3hBsZUU5e2g6yS9EgpgfjCcBzt12io6n/HkvYJhd6O3Zkv0vQh1j0qpi4xcK07SrUJ21FrnJCtqvVOqHlC1shqnXBZVVsapIDs0ldXzrD/SkackuFlX4zZjcJZsvqY6uPH1Cz+eBgrh9cAWCkvGOeXH2U1OTON5c9MgpFKPo49n9PoduxhD4Lml0EZmJLFoZwbBOaQHhLj5Hei+kX+gOE+JA3TyjhmxUUWSki6TOrOV9h9b3VRLiE4WdboySgLJOm/QksIXBZUwfVNmMiYslESyzVd47sY34Hu33s/5/XmaANff+v6bDLJsVn46Ec/aj784Q+bu971ruad73zn1neePv3pT4tTWtCBeOELX2g2CzfeeKOZTqfm1FNPDZbDd+gASYDlbdvjv7OUCbjkkktsJws/Z5555pqPS6FQKBSKYx2cMFhZCSUDayU5NgtA9IAUB36vX/rSl5pzzz3X/MM//MPR7zz91E/9lPnN3/xNk2WZSL8dPnzYvPa1rzW3Bbz4xS82t956q/+Ic6sdozMxAkwCjc7BETP7Hml9xHIYCyYETkHIcasWoGMIMh01qRGSOiaepgFH0LSavbvDBKRROgkwv3RDoo5Bez2abNEn+dEoZ49kDQ0mm5XYn5QOqiiak90WbYcpRmzZWUrnEz+yqKNqyokj0fzfjqqgiYGlNvF66vQsU0HrFN9I+YxjVc56wXdgnwL7BG+c2UTaHTdcatb7hM0SXdSzIcJ2PO2KZIo4WcCFLUWnmCBSLhpKJiNzk4UL9QcaHHxRuNRIbWXA8UrPLbESgEtvo19hM6fJ8sfnn1mhDskMt8UMFPRRneeCaJpS0ZFdekxkhritgZi0XWKzrP3LMRrRv4FWBUASUNLgkksu2RCSY7NxwQUXmK997Wvm0Y9+tHnUox5l+zIw63TU0rPc/va3Nx/60IesTgjmME888UT7L3zuc5/72MZBxNpm4aSTTjJFUZjrrrsuWA7fTzvtNHEfWN62Pf4Ly2jb4TscUwpzc3P2o1AoFArFMYs1Cr6jMpwAe+/evX7x3Db7DXzEIx5hGbM3velN5v/9v/9nnv3sZ1tN1O7djVfdpjBPMI/5j//4j2YwGNipu7e+9a3m+7//+803vvENKwx797vfbSPXNguj0cjSbh/72Mf8srIs7ffzzjtP3AeW0+1xHhS3v+Md72g7UHQbOLlA9aXKnBUQFQKQRiW4DBibcAWuJyPvHt1cTC/QJx1FlLaCPGQz+XpwHyX4LkToRXqvI6v27vM6C2KMGW7YeGZF9USRS7NHIw5GU8G3qQoYl12j1SSrRGH3b9HL+DLdRiFblN4B23X1Su1zJLFMtW6p9N5OCJueRWCHUp5NUVvJdljOacP9wTYpf6i1oIQjsvquWpOFbBf8TQ060SjTRyAKbYD18/PuJiDXJbI9sr5AXRRm4m+y62BZvofxFHLmuF5Y6/nCHfAAhHZItwnbf3DE3QNth1SWgQdTkuFpYcxgH0mLiChW6yThwf5MwyQZW/L6wDDU+1ZVyF6Tevuw+NK5J8tnjlyetUOy3g7MMQDoONHPnNB5WgvJsVkArRVE2kMgGDBlD3vYw+y03TOf+UwbTPYv//IvVpMF/x6VxMAwPTcc1qHcEKF2NAEK/ic/+cnmfve7n7n//e9vI+WgPSBMQ3rudre7nacTf+VXfsU85CEPMb/zO79jKbv3vve99kT94R/+oV0PU5DPec5zzK//+q9bURl0pmBu9IwzzrCWBgqFQqFQbFtsIPM0K8nxWPcbiiTHhRdeaI4mXv3qV9vgL+gXPPCBD7TtAi9HxDOe8QzzG7/xG+YpT3lKYF+0aZ0n7DhtBZ7whCeYG264wVJtMH8KU2uXXXaZn1+98sorrTiNCsbe8573WCuCX/u1X7MdJLAguOc97+m3ecELXmA7YHAi9+/fbx784AfbMsGfYiNRrJRmOk9Gx5Kfih1ddesngnQQ7ntftmg6l1lfpgBs1AmDeImYCDxg7IiRaZLsqJBGxZAIGJaWIUz+2UT7GUguO53U5UymxgziiDVom9ecdOmegLSaZKaCyKq2zbzmqXWzZKQbOFt7zY0/LW7k7KpeHQ8iBqrWOTX3xd7RirlxaVfofs7Ss5w4OmxuHTcvAYlZoomB1wJgfOz+pB3IVlkWyKargei/at0JgnMhLUvAqjmd09BM7d9tKXJSqCYtKUSwviHeWOltonJ76O4o8lUW4Sc1yUaYsueDs67Bc1bfc3Y/59LtdUN5GE2XZJhyWQM5OCLfW74c92w3y9l667QNrKF0nMzPDu+byOOOsE783eH8q6ajvJ3FclFzSZIUmztg0XX0nYybMm2Uf8cJBOJWE04b4RA+6/4XdZAcx5LPEzBTQJisBTN3nrYa0HtN9WA/8YlPRMse//jH208KwD698pWvtJ8NBX25bPADwCLsI/AXBBWY49/lEDKvs+2oaSUCX8hBBS11k00HS1Mz3j3oEGsKolHoaOGLFH4IhqwDxQTzgGJJbgumYkm+LN2qydLQzM1NIvE1APOoHVidM/PFJClMhrKK0dRMV4uo81MfSr3s5pW64yPW4z5YOt3GdrZcWxB2GivjnRvIBzc1y9XQdnAkQTh0uGCbsZ/rlTEum/XeNJT9utXf65upWMMNf/vBHnNTedi1HY04Q8H4yE1HQscNOlLUfqFuQ2ZOnD9irjm0NzhX/taigQHJe5ENIiQBcldHquU77o8Dk1l/lOwUmeiWK9QrmWX6DZr3U7k4ql1KvfllM6+J7YPpt3rjcD3W23kcfmqetRkHS1ZykHefezT7FCAOQO0KNk/rcnsGeUZxl6rH+7Rl+jZoOwksOBZ15FtJchxLOOWUU8zHP/7x20bnSaFQKBQKxbE3bdeH5DiWAOQJSHt2vMP4dkNIL+My8i+nnx18MvvNGrI4kWc0MmYPSTA6sw2Li4JtgjBhRuMnTQDJdIIdkfrRrKDoFUW1bEhHRo5Jo9EiZno8g4TCUZZYtq6+XokMzrCQw7256Dt1+byZpRc7M8YjYYWAQNH0LZPFoBy7jtV6aDqfsBOo2Z0UpHVUZI5CcrA8mM9CtS0m+J1FJA5YqeobH6caLctEhv3WINRbFoTM1FQ4Z0nrAgS79n4xu0/ilCrhtLZnhjsCGJoKaCNxY2YOa6fY824x9QjmmQjVgWXRKhac1ELKeo278JQopJ2W8eK3kH3mXWqjFhPJkDEPxeJiO7h5ZvSOcknCZ2T7U+lV/PRmNnuHo5txk+UPRxXVBn0UEbTzpFAoFAqFQjEDtPO0Ccj4yKiKRyogIG/WpybP2b9sOYpVU6lYRDkLH1RLGtkZdB6IchiP4BpRKUuRQUfKEqNkk5USDQbW4SwdvIYrEJsKjXIMlG8TMkir0saxtojDmmQKqUOC7y6JsMR4oOYJmaLVshDLocuWXJLier/6nkGtD4i11yKervdt7j/OHElYKQfeWJMm5KXlHCgF4VkPjCtiF2GF6Ph3eGxQ/558OWFLIAvJObPYhlmtLpr7Cr93VOLYGlpPOZ/WnPn7HPRASa1PzcpalpgwtEFbhMTjzUEkgjjo+fACPPaLwY7fLsJUT9G2jYjds85SkziLhlpMXEe1jIGWqQfbzXRUUZocgWXxtiuJ8x8EDByD4qZ1p2bZAMH5ToVqnhQKhUKh2IkgDuHrKkMRQZmnTUROkgPPknJBvFdTvf8+2/YcOXQn1mxW+pEfjVQhUTy8bVAWJi5tFiKTRCpaInkTfchKHartIwUH+E5g7VkLGDOBTMXAaZ8wJUuKiQqKkrbJy2h5FGWXYLP4PjahMAnVRybo0HQuiIbD9CXAxtR2AqXZVxwJ6qYWBlg/Tb9C24PbAtO1XA1s+VxHBfqjWdOyNPWHZaH0B49DwgnF4Zi1g1g0cmqXp4Pw1vfWEYl2SoxrIgydFdn6jEUGt6SRyKrkGNHGy+XPh9gIIbVI8OwRfRQ/pWVYfr46bWFyCQsjWa1IKFmKk54aoC7bgc56sbou4+BESpdU+XSZJ5uhjo5bX5BSHh2o5mnToJ0nhUKhUCgUihmgnafNAI0ka0FjHtm+nTg3b/9gZUUV8ILqqBm/rdUh0O3psCouJx93D5/4CDpsT9UkJ+UmmXRUC6kjqD5CahNnA1K6rejkNT4s43GjN5F8maJjI9Fx9FRNpk2KFNoWXmadZSauZ+TDK0P2xEq/nP5qeTLwDFAqSu7m6S7/N2dt8PtivlofS18KgEBM80KWFe6arVSz5bqYgslhVVnmClgojKK7XXGrW99ovOpjiY9fYgfxetXXgQoFGyBr0Ma4ksvjdoq/12aUPQ62hemIwBinfAIPr7ANTfw7KUUTyaAJEpMlva8sawQ6KtIWxvY26V34vriRcFzWTy6ziZBF3ZhP3SI0k0pFyb4pPy4xsW8jT4y2j1B1MGH0VE+6WaqjDdU8bR5U86RQKBQKxU7ERky7aedJhDJPmwGuc/JUAtmGpFewqyhb5UdNtaaoMwUEjo46dFF12of0+qiMLq0F6qRsgt94WeBpxesOooG4uKoy1coqWS+P3IZHqtaoF1hWLAk7euYNTY5JOS5ajjXH62RSuiTKFokgu1H2iUaOLQ7GkYM4BeiXqC6p1mMRHySXTDfaj0QPtnk7IYYR1YKaK/ASr+scV4NaUxVEKa7tdTLuyYIhy1USl/HG9TxknizL56Ieo2wxAqualQJV0cbmCs9MF7vgWRPpGbP+ZukyRJdr1DKhW7fUTloHfg30Sszhn6Zaann8oc5iecqY8LBcmzjYecXZNvLrICUB73MLSSyZ16Y1bBb9FyInk+cWt2Pvsaa+Hm1S3OagzJNCoVAoFDsRGzHtpsyTCGWejgZqsUv9Z88bsTXSo+qhqfAaBSnCR2agAv+ZtvzPkk4KH9JU2yTWKZWolLaV+LVQrRcdiUvuzkFbma7Cu4kLLINnaMi/wGoUec26iFW4cuYHIWMj+T0dmQwD7RSClp2KBuP7IRPDk/OOCDsFbBT1YkJm6urJ8V4Hhcs4KzVkohOsD/aTdEdrj7arvGbK6p+Ii3jdDsH9mmGhiFk7e77oNd9s4Qnel5HGKGRBVve6m7eN2RmEflD1volnxWkZvZbJMij0YSbb8n0FqhTrrRnk2Hep2bBePpnvOK8im9PzWtB3WbC/sIgw2DQxMd2eE7P+utByeryjOdtIIzJFhnGr2Ktqgz6KCNp52gxQUWUupzsJwp/JDSqaVrJMJNNRszwFmnW9VcSYEFoHHbXUXBSZZpSFmZk//lp4KLzc4O8FPCAUjCcErm3hy1lXJy8o0FXlpkXZVJ2USBc7NzC1ZpuSOvn2tyzsnNL0LqmULLgMPrvnVkRjTewkoQVBbV1AOwthZ4dO8TX2BdiW2GqgaYf8WoD6oSNGTTJvnu4m69f2OoEO03wmm0XS83zDZI9vK3aUcL1kbArL4NzX/Yu4c2pvK9KxsfcoTN91dLK89YDQKe81OOLThmSKO7mdtLooEgmJ4RlyTZrWou/WTkvCXkRsi2Ru29YRCkTZ0CFMDEBsdERtBtpm62JNKzNpmjBRPV/OLE7EOtreq7QT1tEhiiwqFDsKenkVCoVCodiJ2AjmSJknEco8bQJ8uC05u8nRjjeKxO/xtNRslZOiS3kkhXXlmEpB2NdvV3S3u1hx9H8kTEUGqmXaoA0kzLrgFgjRaBumOnoY7HphaRUKw5uZxLgMwhxJjFE90CfMzSSdcgPZp7li0m6MCeeVCNntvl4w7abtstLsHSy3WgngfsgmcQsDYJPazCgBYIwJZafsDZC1WrtgHNrgWDXCIHW1iwKZtCFxI/QMImN68qJMBEiE16LvLJ9lTfpOyxB2SnrG00Efwn3nnrnBrSu9gjtoG3yZqalz28DKn4dyLnFP01uCtyET3kVFzT61TdfnkKRYWN/XLNvGO3Qw0Y1dS5qhTrH3UV0S2l+tRw1qVbB50M6TQqFQKBQKxQzQztNmYUpSXXSMguyorGXkmLIqwMSlrULySIskCERBlD2LeV8LUmVMFppbzY46c3YeiDC1qhjDQUXpAvnBtVte6tMyqmwG3vHFWXbJeH0YvNNEUS3UqJh2JuWdUAaK6G4ogzVfjHsZPdK/A5argrQozUmRtFigS+ICb85SgT4KhePc7gDNOf9r9RRXR/zaoOleZgXGBABztTdfSG6Hx7+vWKpF65wpIt9hXW1V4JYH2pt13s+oC5z2e04lU82m/Ep+/pxBZbB96m1tReruOXFanEBbhEaaoiWB24fYC4jH7vbNgBVirFykuSpkI82gXt4O2k4OSS8eseYxi0wDZ7h9ASIfY7to4UITCFMlPvZt+2+VWFyxqVDNk0KhUCgUOxGqedo0KPO0hWc10hxJEXA9Ri1x4lEpyqTf8KeXHQKrC/crh03cr2gfAGSHZ5yaiKAAeWayPU0EF0bYwYiYh3xHI0CpzU7fFDV7WjMTvr3EVLFprpwQOMUINdYEzWhWSgrM6+kCJCm20XamTvLbJAYO20DblIqqa/RSlWdoasar302LRpy4fRy1N/ubNmWRmTr3lDVrjrOKWLfUefYBY6ApCzR57F9Be2g1IKw8H6rfFnQ2a0Qe35+lRvKsClmMibcjBoxaf0CKl6hwxuCh1qdvm6XnPBF9i8hXWAofaCOw9TQK1+mj6mOibFZGjlPQWSYQ6Jza1jMEDGNSP5qolOs+jzJU87R50M6TQqFQKBQKxQzQztNmAtgSZJfY6I2Ocqaj7mEJmFZSPxpexsxNEwagkwWeKJjv1K9sqnkQwVNNpPReUrSLG8kNloRIKtZOyIFbj075cNH9k1VmOOeGjD2HV9xEkyLFJhUkusuXw04mehbR5MJWz0TadeXSCXL6lR5t58wS6KSkshB0HXpKIeNzu+HNEeO00ZBMOKH+2qCzZr6OGy616sUAiwskzU8CqB1MgTI5kilis2FnVW47mXH2qUz6+ib5ZSFTNDgC0Wo924KXUUrELdbvmMtlUgdlJ4A5dtGHUSJxIdo2m8b3kcQy9UWbuXDbYwLMUWTyKyVtr7rvjdS2W4ZqnR+FCNU8KRQKhUKxE6Gap02DMk9HCTn3KWpjjtZ4s1YY3NUyWJvOEXYpxTLNyGglI28Ic8RHcPmR1fDuQ/dwjAqCf8eTMAqPacG4y6/kJtzabus+HUauARvF3cZ3jVbtdsjwSAwT+AtZ5oPoRDhWx4Nam+Q2khijvaOViEGhuh6+H0a+wTbAzMyzVCY2PUtH4l2pHehOThkm3A79l2CdVPZa07QASoMsV+2eju0AJoy6m6PLeGtZZH01xpCyBNEpiZlS4FGbyPggG9oC8ESTotjC8mZ8ASR9mth3eqnK+gtGwkkMz2QXjRblB50l08gEmyXW9WKUUO80zP05seXxVFcZvNdoNK/UENB7ycspfFqqrubN+o7WDsiOg3aetgpSSHAQXsxeMMELl5XFRH29tL9BZ4kJRFO70Db7zg4rk0zZFUem8rHRquEl7kOy4UDyuiPFc2rRXHZ+qqG9vbhNPunecLpUk7Bt7/QDq3Od5RQjEL26qjum02xKEdsJCC8YTxfTCMLrAz9xdDjYR+rA0NQsYjsz6Gi1z1el7A1sR8bdLNZkk1sbzJim5azBHrl+n3Ov7jjh30FOQJKyRkJXB4uGnpfDcvYwdAQVBbObiJrVSnYGsmEk6+xEAwc2tYWWAM6gF5fVA4z0NFi5y93T0umzHStiUBuJs7NoeTiQclPcA0i7guUR8To5vmpQ1M++1BbsOJHgkWhKH19HbSmc2qbuZujv95rhd4e81VDB+OZBp+0UCoVCodiJ0Gm7TYMyT5uNgJkBetzMLGBd72iJCszxb09P0+1gJIisSemsB2Akx0fGpD1T2CYY2dIDcWU5F8RUYuDWtC0wih7GqSG4VUHRaIeFA3PlFbRcVpX7PhxMo2ksyl6gMFmauvOGjIx1avwB6z9uXqmNIKV6uPCZbgMsDybEBdw03iUeLp3aQrE3R9dUXtOmvJPNGpHlxRrH25CWBTCtYCrQsUns9QRMnWejiF1CvW1mTpw/Etg41NfJbeBZoTBpcwBMGDxAhqO73W2C4WToOybt7fhR8lNRQri+r2N+EL3Fbb00IflinXg7MN3krJGfGm/mNaP22aTlJKULnz4L2kDYbCwP3VANsywhyJyFQe9gGJbeqnU/d62SaakIy+JZsejdFL8vvYWKIINYT1CP4tiGMk8KhUKhUOxAbMS0m07byVDmaROQ2zBeOTzeb7NSpgU2gqCb3sB9b2YvII/KbwwnWyPO+ai95W7xrBZqG3iVfBHTYvh9QMsAIcJUN+NGuiVaOuDImWtR6GjPMVNtI79AD9MxQgRmAxmcYSEzMFJqFAmNTsdpQoQ0IxKzhUJzZJagHExDArCCataGQ9P5Vr0VQNI+8WNZKkeB7gj1V1Ky4FkTBINIHLBS1YpeZJ7gWKieCurfla+ICYPR7JOj1YyU2EKEy9l3/iizNEH+B0rYLgLTPJWjgpjGyg92VbScT8t+rJPeKJu0K2HF7h94X1CDW1xtWSjGxlB2qZOVokLNxEstujaVKVYSej5qwuktYuJgE3xX1e9AWW8WbD/jr6TfN5FO6qii2qCPIoJ2nhQKhUKhUChmgHaeNgFN+oAwii3JGM2QEDOsh5WbLL+9TDpS6lMvBTJYmJpFirbBMjF9RHCsPE3L8kr9r4umkUaGM5mEIvtEA/dWiEaLHXxDgFHNEtE8uYK4gSVlPTBNC28eTQyMZaVsCRBLLklxvZ9jftxQGFOsHJjI7BLVN50wOBQuE4bE8x1ukcgy0YS8tJxbyiNmLQCdE9c+1ctTEXS5PR7Osknn0l+7HvdKZKfRwzwzNL6VK/Fpi+y92B7an2xPpDsM9YPlMG+0SBhtx7YtR4JKg5WTZHUQPKE3i5oLtqOXj0fOImvF4dpPo+Z4+cgoB5F1LDFw0q4gce5T7xJv+Ju4trYtwjnhyLeKgVLmadOgmieFQqFQKHYgVPO0eVDmaRORj6fpUaknPOI7M8omwhNtdt3Ma7zZfdQI+R6sJ3qGiK1yyKWBqzRqC3yueERLqFeomTkSKTjokUBZ0KBwjcvqKhk7+KqyKOEuRsB1pUGxLAdPBNxjyDlwJ60t9cvytDbY5Hof2q6bJ3VCZdwGGBprZGnNJdOPOrJpfJsg6s8mJa7McjUQNUeAoVu+UnVQNgwT009DRvVVcVthLYmuc+csgGByipF1IvB2mXYwV7OOzgWvI26iG2ocHWPJ053gOvrMQuJf3lb7/gBzTgg1i9eFUbBYUGhCWf/LWJjEO8DXaf9tTEHtOzDwdppRq7UGbVdZ9CiWzgwktKXIcqVSbCVNOLcayjxtGrTzpFAoFAqFQjEDtPO0GeBz/R3pFmalReUIln77wUi3GV2yRMCptqS0UJ4hIiMUqkPgLBZsDyNdYOSctiEoB1GWploV2Au22WC5+/gH3P8J9RL2w6i2GaPkEJOp/BhllOlwuwCrlWKwdg9XI/YE64P9vP+R9zIKmYi2ZL3IFu0uak0ZliWBa5+8mzipz+uuUAdlMlOsMeprWkHUIKStAQ+rpo7TioNhO3x6GKI7I+eEXxc4z7A2H5TtZkzM+TtMnyI0OHoO4lRB4foq8gVKISDUopQoCSYAdVSSI7ldV3Wnf5G83CxrVCXakpl8BTII1MxS8jGSkntLEYKUnWq5j8RbXJqaYnpQSPzr68HXDmWvqXZpFmTH+HSXMk+bBtU8KRQKhUKxA6Gap83DtmGebr75ZvOzP/uzZu/evea4444zT3va08yhQ4dat3/2s59t7na3u5mFhQVz+9vf3vzyL/+yufXWW4PtMhiZsc973/ve9TVWingB0JswD1mfYG7ej5pqN2QcFXclvo28ZrhmwXTkf2K59frAjjohjxOXLUHwD60X6mwrk+opIupF2l74ztvQEnWD/9bp9JpkwFJeOSsVYayTJNMaFdN6edZ+iFRTFbhko+bJFVBLVKj+qrQu37i+1mPRHHe1AzewQVSXFNTn9v3u5PjeOe1o/bVzt/zamNXfqWlT1Vo/MmyU+YLjo+2YKyYy8yTdABLxUnazZlJeOr6+D3uxslfYyPqbtZSdzD0XM0Pef4luF7SzYXwjFopFyEIOvVDbI53PuOFQLtQjZRygZbURv0kiVUoUju0gZfZ1fG/Tea6FdZF0n+o0vvOwbZgn6Dhdc8015qMf/agZj8fmqU99qnnGM55h3vOe94jbX3311fbz2te+1px99tnm29/+tnnmM59pl/3FX/xFsO073vEO88hHPtJ/h87ZhsKlMigHEAqc2MT+6Gb+wWvr7U95apXWTglu437VpW0ZxY3pW4rVGd4cNLUB7YPlAvWL1DxMz0nmgFRQCy9hnF0hnUH6YxJNG/C/+XSH76eFU4xSxycUTTfGkhRdCYApjkyGZnGQFlRDfbtGq+bgkdh+gHbgrBAcOxWsfv6dHgcKrWkHq0nAGx7bMCvNEqm7maLL6w5OlZubpnvMcXm9FUy7rQVjA0mKCzvtB9N3XZ24VOeNHkOdO9Z12HHatEdHKrQHSNQBzwYzyaz4s8YSf9Mf9MBaJJH+A8TUecfzB2mLYAo8Oh1503mxQR6pqbfEsj63M004PJ1rD+e3nTCSMDyJuaGQFNj/H2uksB3t9+F0JUudws+Vvy606I5BKl0mddTwGkNgy5ZPeW3EtNtWH8Mxim3RefrKV75iLrvsMvPP//zP5n73u59d9qY3vcn86I/+qO0cnXHGGdE+97znPc3//b//13+/853vbF796lebJz3pSWYymZjBYBB0lk477bSjdDQKhUKhUGw+dNruNj5td/nll9sODnacAA9/+MNNnufmM5/5TO9yYMoOpv1oxwnwrGc9y5x00knm/ve/v3n7299uqg6B98rKijlw4EDwCdBDOBsMgsnoQJxqYplI6HJxcR8dtJQgE9vSJfikocssVDpimIJ2sakF/HuhTlyaAuxXQDqb1o1gJJ5oZ1xgs9ol80X2CEP/g2TAkJrFHRiyRm2pWCoQkFvyoZ42wqkjZI7g34XBOGa1mOi5INOJlvnxbawf29q6gJTB5jlgig+m8uq0LWhfkPVgqcLXwpFylNwWYacLaUqdGUDZJvs9cW5vmOzx6zFBsp/CdOdvSKwh8JpFjzO7X2OzWbn+JCNRzfhDg886ni4+xZ3ajb9X8FBd+pRgCo7eCoGQvKMiaQoLTDjnSBqZaJ9MTM0SlOeTDVfpd8O0TlmVMhu1xVAGi7F7CC8Ol+CMSvtk7SkFtizJcEvf+65TbEtsC+bp2muvNaecckqwDDpAJ5xwgl3XBzfeeKN51ateZaf6KF75yleaH/7hHzaLi4vmIx/5iPmlX/olq6UCfVQKl1xyiXnFK16xxqNRKBQKheIoQKftdibz9KIXvUgUbNPPV7/61XXXA8zQox/9aKt9evnLXx6se+lLX2q+//u/39z3vvc1L3zhC80LXvAC89u//dut5b34xS+2LBZ+rrrqqmC9D7eFEWXbGc7IqE0QXHchX21fH5lrMho3MppkI+hmJC6NKJt2FyvOCE8SnLt/p/PCAaXKRQ0UF49D6DSObnsIxvEYI5bPNZwbWGJ1R8YhE0aZI2RuQBzOTkVYPlgYTGKHPiiDliMZYvJy/L6OQqD77KV+DQnsny5GbBJlqYCVarM5QH1VbZQJhpuEHfO6K5su2KwFUMIUmb08PPcSw7cnl485KRh3LKAF+buDYE6zE3gLUoaDP0tsW7pdmxVCp01CVH5ligMrsWA8KJOlf4qYY3yW09pDf8yYQBjLo6aXkSCc/OnsCYA5Eq0SSH25lKTYH5s7hxJrLqCPhi3JnPdAK8vFNJZb2nla70dxbDFPz3ve88xTnvKU1m3udKc7WT3S9ddfHywH3RJE1HVplQ4ePGjF4Hv27DEf+MAHzHDI53ZCPOABD7AMFUzNzc3NidvA8tQ6hUKhUCgUOxtb2nk6+eST7acL5513ntm/f7+54oorzLnnnmuXffzjHzdlWdrOThvjdP7559uOzl/91V+Z+fn2BKqAz3/+8+b4449ff+eopOE4cnoW0BxBKHAw6KfRYX7f9t6/1zglRgldegrL5gxqo701h9RWlU2A6iOPaL2+bXV6CBsJE0UIAePkQpBJolgs25chWBlwdsmm08B6pQAr2H6Su6JQ8EKb0uif2sB1UW3Gk7gKmadJmVv2ar4YmwlGuyWMHgeOIePmmsD2jKtCDOVPAbVP0rYYdZdK5fJfq6eYe81fZTmosMz1Da1Xq8pAwFbu/vORgaweqhmD46YMGLBj1JYA1tXMk1AhXvKiSR1iITxokg0HZxSmc+wZ5HWl9qfPHz+FLALVMi3wSgqi/MJtylFhMqsbwihVDAVrou1s+hZI0E3sCgL9oaAjqo8rfW9HlgDALjmGuI48IxF/JsFgYTuJZUlVhLYqrY8jD5VFhs/Vm7IvgHewvX8FLZOPHp7UEZZ0XScDxUm8LSKgUoTorGUotqnm6R73uIdlj57+9Kebt7zlLdaq4MILLzRPfOITfaTdd7/7XfOwhz3MvOtd77LCb+g4PeIRjzBHjhwx7373uwNhN3TYiqIwf/3Xf22uu+4688AHPtB2rMAG4Td+4zfMr/7qr27xESsUCoVCsU6o5um23XkC/Omf/qntMEEHCaLsHve4x5k3vvGNfj10qL72ta/ZzhLgc5/7nI/Eu8td7hKU9c1vftOcddZZdgrv0ksvNc997nNthB1s97rXvc520taFnESXALvUcZanI/B/qoeUMzE/KDuAgSQzZos1VGwUKmC8mJnBUqMN6YVK1mqgeWYAHvXj0lVwZHv3muqW/W6fmGWCXYrlyox3MR1HFWvC7IgR3UP5+kAH4/4M2IwmAg50MpT5kVKsYHRd0N4qM0VRmrIsgjL4dm3Re7Q+YJt4hFnQXpK6hAJG10Oy3Kc68dqrtF6JMmrw92mD/T7yDbVSuA1ql2ZBN18m47jhkrl+BdsRe3DBssWFVXPwwEJIStAoORt1asy0iHV6dtuWALL+K0KPMinpr60W2N9x871JjcLqoFpEOHnopZbUaNEKhY3y1LsiZmH8LisTM11ISCCc1tImMl5whSNrbOuX6HE4FuGZcgyaxI4lGTFO8ktsIANkJJr0/DWkXl1R8mTp78R77mhArQo2D9um8wSRdSlDTAB0hqjFwEMf+tBOywFgs6g5pkKhUCgUCsWO8HnatmARLoHz9oyeIH7OvWUk4FO8SIMxFvUmBVdFo5Q1jjg63YRzY/LDCat1m6bCNW46ZY7BAsPUommp90usz2oPpeEcai9aEvbONW2VdFCwX52ahVIaLfoIgSWxZTv/IloXbdN3l46zeqRUGwDzQQhYwwxJzJJ3FpfKY2lhqMP4RkPSTKGXE3hVIagrOh4PPUddGrWZQXUyEsPKMDjS/cBAZGpXmF+bz5FvmlSEWzY4POl+dlGTiUl6hTrHu9HbKdUIYRloOLvCGH17IXqWhuvJPk/VsPtnajrXvQ17NNhK1EixxZzRa4mojNPFdOx3NLDeKLuNmPbbodg2zJNCoVAoFIoZoZ2fTYEyT0cJ+WqPUbukcWiLapllRMjr4NvR0VOPclNRMPTvwdK0RXdAdBVU78C8Z0SHc2wLa2uKFchX5ducun9Pjwy9tonmqqPMz4HVOgIT9pnFnwmxOh506qaOm1uuy5Z0GW77U+cPyHoowgzNg4ijBRihl2pHsy7eDtmfYTYR2ahZc9zdebDb/w2KLp/kmJXDPaaoV1bqeuD1rVYbz60UMVLOdT+jEAFm/yX33qyakJDdpVFpuL67QK9LsjtkQt45YafU4dGIu7y9nUECb9RptSQtr3O8oe6JvjNYmwexJxrdDs4JvHNsPS1+UvU+QkE9b8kgqk7MBdhzBkF/WXc89BIfZaQ6GvGG7AXTMVVlX2C4uuOqQr02aaXUkSEA64GZ6HJGcfupthQgDBymD/hLCjpS8OOAL+jRIEhhgb/nQUftcI8OVtHSGEzZkrV3slLADlUxmvo6UwmDb15eCBIN0yk1KIOmi8FlfArOT1uZ3HZgIoG4TwAsT7dBR2Q+a+9gRZ0XTAwMqVhs5wZSskD5Gzu09Z00cowIa9VZZb5tzZRdbk5eCG+CoFOF55PfA2hzQT02ONqmY+gy3I6bVJL7VbIzEKfpIFvJiPZk5KZV8852IJhaaqa+aAJfqa5q0ZmSSu8Ml1i3wIFfZBGC743UQIrJFsbTMOk3vy25f0lbQmM7PUi3xTLb78WMp6VKjc26+tE9bvnsGGB/sGO73o8ihk7bKRQKhUKxE7ERmiXtPIlQ5mmzkXWHDEdhwIwQSPb8mT6ZA9mlMDSaFcGTeTJ2h7a1GWmSdTz1gzDNZusA2j1F26OJni2L3ZJku5KwXHYUn69DkMkHze77cMA8HwLmp7YGKPLQkJEeRtPsSpjxqDqnyfgUFDWGBJYHE+ICbhrvEsvAqS1gZyCpr1QfZaN25QnxPt+nczgO5WZrShBcmsocqcZmWkEqGMcmcZNMU3m2jLJv9bYuWTCb1uPXt/WHALaH+2rQTKXF2wjsZ0ownADua6e0wLCyC35qDx/O9NSWRJ1Od811TgdaVojVJ92mjU1AnX6qazs/LW83pO+JBEu3tNqZKDmQQCTE9WLS87br465jbIjKaUKyi7Mg8Aapggxik2Isdgxe/epXmwc96EE2t+xxxx0nbnPllVfa9GqwDeS4ff7zn28zjGw1lHlSKBQKhWIH4lj3eVpdXTWPf/zjbRaRt73tbdH66XRqO06Qhu1Tn/qUueaaa8wFF1xgPRrB0HoroczTJuAjn744HhGxr7kzxeyLNvaoL5p0KSQVC2XAeJOgHtAQ9BhRT+ZxREpGa0x8Ol0gfXWmxWiW14LxjLIXLIWElHBT0pJ5jQk7YflyIzRuGkibENsWALPRxhg1Te0+WVHZQpJgLOcwSVKM9gHILEE58PchyA+CgurExTppcDBsAxlCS+lYGrPNet0SMFgCI0SF5zeVteZo1gTBKBJHDL0wPQvahswXT9viy6GMnWureD3w0DtE/54BbrmkgS6kD/MkaJ7q5el2VkXL+XQmmZCaxe+W8WfPXTfQDmK5VK9E3QKEdljtYtmSMLhqYbLbrEyCcvCkOxbNB5DwneXy6/NfM4fhCvJewvaS62aPV2TOmrZ2aki5VCvQn7nDignto4Nqgz6bhFe84hXWpPpe97qXuP4jH/mI+fd//3ebJeQ+97mPedSjHmVzz4K5NXS8thLaeVIoFAqFQnHM4fLLL7cdq1NPPdUvg3y1kGrty1/+8pa2TTtPmwivI0hqllxYPtcq9NROtJqyUcKlI1IvWpfYRtJM0ISofPTN2SI/eg2O1aVpQSyvpGPJUftRCKPM1Iierhf+5saWYnQySwAsGVhSLRKmaYFvkJolBdTp8HIktmR5CjYHaxNQ2Gi8hCknRZe9ATA/h6uRS7qbtihYqdrL4QCdU91OOIftjJhtd5WbEwaHApYN2sQjDg8R1i71TJXDhlnty+jOyvzyqFXJAsAy0TwZMP2aZXW6E7Yff4/YZ44bTbZZH7B1xQrVPiX2cdF9XmuVui2lpMpdZroJw85gP6/LFJgru6LZJogqZvv7zXlCdEkulXolJd4rqXLu/ZzXm+0abYf5YfGzstJPK7keXHvttUHHCYDfYd1WQjtPCoVCoVDsRGzgtN2ZZ55p9u3b5z+XXHKJWOWLXvQik8FUb8vnq1/9qtnuUMH4ZoJHkgQjyfRu0cjIJdpsNpBHTn63JHPUXV8gA2obNQqjN2wrGgk2K0NaKFudsGhDHtFSmWoyqckkb5oZm9MNVoyZLGIhQiNdBExDLoXRSisr8u0fpiZxehHGEFGMJ4UZjFwEXkJHk+WN+WaXdkqKtsO/Qe+DOiSIvhuXud/m5sluc6fR9YEmCBkiZHH2DZbcvuANJRsTLhYr5tB0nmmIrMNS5BlFI/CAOVoLKNtUH3/972mDg+aq8YlBGzgGWWlWMfoOEsiSouC8yFGR9N5raRjeLgm9SkBaeiYmXaCNrqPph4S6kGzrz4JVpqTP0qQ0Zq4QdFEu2tWyQVUy+a74/BOtJJSDyFentdaqra1obOnYMHu7pPSOqWOkjDUxFZ2FTbfJn+fbz6tdRwmsDgaKGpva9xMEgCVyJW95epb1lmGMueqqq8zevXv94rm5WmvJ8bznPc885SlPaS3yTne6U6+qQSj+2c9+Nlh23XXX+XVbCe08KRQKhUKhaAV0nGjnKYWTTz7ZfjYCEIUHdgbXX3+9tSkAfPSjH7XtOPvss81WQqftNhtutNSV7NMn9W0rqs8IomOEY5mhFqZJrCNVr3Mg9nojOiobhK7H9agO6SkMQcnbk5bOMDpNBU45okXctiYKMssKNb5PgjaoI4Iu5SRea5/iMjnzhOzQ4mAcsSe0fvA/gkS53neKMTFYDrJDDUPVJNSlzuO+fHfwTaLg8LrgtiNHwQTsF7qOQzTiGofX46ouF/bnkXdBO1gUHvV1SiVLhj2KIZSfuLmD0Mz6T8m5OmAwozIanx9RxxMxPeTvNhmb91uiD5bwPDJWNnDVt5G1ifsTIuPa6m9z627xqQuQSq/E4croek+mzlfUhh7VBt5M3Deuo51t9WBk3bHgzH2sO4xfeeWV5vOf/7z9F2wJ4G/4HDp0yK5/xCMeYTtJP/dzP2e+8IUvmA9/+MPmJS95iXnWs56VZL6OFrTztFkQXgIlfbHmDUVOb0774PnlhKKW6OSuF0RiuyYMmK0gL1lJaNkmpPRtwrL5i9cvjyn4QDBPl/t9hfqz2KwuTnsRp3RpUqfUU2m+DHcAPDUKNo+aZAbmiwSjYlovF38/oVxjlsbDYFqQp2YBLIxqwXU9y+Km+gzYJ7hOEUlNwjs6iGDqTugofXdyvOlCqpNH67x+0oxEh1mPEUBi2m5KTigKwVOdRAlzxSTqQOG0ne+84g3R8gPY+UPRMg0S2HSkkBmzsjfv7GTYwYewb7hN3jw7xHIgCr9PtAkuo+9YpTotPqWMvJ2dNhzKHUs6DVjC8eBh2+cVhe1SnR1CdG4/wI4zJT1orFp4O1nxLRKJtU6/9TVQ3XBUG/TZJFx88cXmvve9r3nZy15mO0zwN3z+5V/+xa4visJ86EMfsv8CC/WkJz3J+jy98pWvNFsNnbZTKBQKhUJx1PHOd77TftpwhzvcwfzN3/yNOdagzNMmokmnQEZdCaCoMvhuC4m3nXJRojDd4MmBlvBZn8IgOR3Rb8jBRa74L6ZQ4QZ14egxM9VcSmXZjIzzlWl/Abvwd8DeZeG0Gi5rO1xrnGkqO7UWtZGWA9VMuh+rPUM5zLdtijAUrzfibZzOssl6CSsEU3y8XLoeE/s2CXjdNuyGODidr9PDWNF4M3UGDBTWbdu3xmH51KZdqVkrykBx3DDZ444lD6YO6TEWjk20jxy9EVum3JJI7ANMSydbldiXiowjpoqN8sXnWSqTryOMEqZGCpmZTJ4mtzuQhLuk/ikkIOZ1cgYoFQTSd+oH3gOpBMX4J7L3qfdalpliHD7zdHqumoV18gu7l0lSCJG9P8qA67ARH0WMY+DyKhQKhUKh2HBsxLSb9p1EKPN0lIHhsFGoLWVreia9zVf7hdzWBXNBUM/9JMFn0PbKFKtOOM7LJSPR6Vwe6ys6zDCbdsUmotH5gWV9woTpyN5XlwXsxfJkGAiRJYNJZDiS9dkmx6HysAwYkYkTPEu6JFqHZG9AGZdd4NfABeNkW2CjIDkwT2nCLQckoFAc7QgawXb82gD2ai0JgQFjNMnMMrOYQ1tlBowi0jeZSlxm/9emWyHPYsO4yFoczkp4Yo+wlz4wgjFIXaH1fTQxMWPknr+Dq1YflGQIUGOU0jnSxML0+Aib06qNwv2l1CzNQ9aeENhqtiohSbF8SG1C+/od2n5CIwZKWBdoVBP7BTYWLWzjllkVKDYNyjwpFAqFQrEDsRHRcsdC1OCxCGWeNgvOkE7UKmRMc9QD4sClYzRjR6Nlx8OUkXYk9BZJhohptII5/hbNll2cjO6BdC1klEvrBsM9HN3y3SkxNWmWydE8lTETF1XnqwKWJ52epY52a9iNlD0BPd7JpNbxIPuECYdpOSNw7/OHR1KMkHIGecwoYXmzwkewkRsDmCT6PRXB918rp9S2B+SkNror0EOt7XVSOt2TvC6uazFfadLbkPWUeZo489BKuF7+7xb20OuSRA2OtEPieRRYLx7NlWSM6PPY9a6AqLe5QfNsURlT2/PblhqK67HQ4Bb3BQgMUDlEESQplrBfVkeD5bBj6JWaJcOE5YJGlB8ie9fRtDIA++7rYAWTWYu62KRjodNRbdBHEUE7TwqFQqFQKBQzQDtPmww7YkzNwWd0NEaXhdt06SF8lg1hlNBoqLrn7ycLXIfQUilvtzf0E8qnugcbfeeiD1Mj4j27WUPd6LBq6i2Ww32laDr8W4qwsVFPVJOUyVFtbYD1mMdU0kUhbHLgarayeVvs39780p0Dxxbh8pSOCSPT4F/UK0nb1saT8SsBI/san6lwmzZtUh8g65S7/zAVDtdW4bnAdccNGwdUaJtkRrprERJNk4X2Hmq+hixQuH+bKWa9s2u/8+rjfmx+G872poimAYl0k8AujWWUAnaoYWXDaDfCuoGeKHoe2HG7d0UyKtBGvzbMkSdLkXCKEhxLwjMBEPVHtFnccFTUoWFdvHzC8M1sLsw0cEHWpZT+lBNpTFu5VeTNsW6SuZ2hmieFQqFQKHYiNmLaTTtPIpR52iz0cBpGWPfdju1FzxAefNPH4FmoR4wG6fvACKM7KUqFI18auyggXOAoHA42ipWdjOXhndUqtOgZIJptODdxkXFuE6GC3XMrPkouqpszfZy9oEloBc0TAqPvUowU7HPN8r46oS86jAsRZphChQPYIWCPYHvKFFH9Ul0PaJrk9Cz492mD/cH2fJtZMRZ2xeOiXlUcvO2U/cNz7dPjtOiRoiok7V+Pwxse6bER0zw1UWxSQt1YixgxyJhoF7fJjRkcZjSI5ORPl+XdWsSZ2AeXyDwfl7HHGys/0H0m0sFYJ3VpOWGEJgt5q26LmsxLgHdFXxfw1uTJbX9vAZR52jxo50mhUCgUCoViBmjnaTNBozpW2x2y0R9GZIFmHb0IowX8Pp3PezidN+Ukt5M8XUgZQTkIKrNJMW0wsna+P2Y6DUbEvMzkSJEtz8dsgT3HjYcSYHJkIORya3LZtWqRssrmtSMtE9uxvDpsNDuM3cHy9o4a36YUC3Xq/AGxPaEXVBhVh1om0CsBSxQ4i9tjZO0hF58nHEYMfVhjg1TUXBu4Zsom/rUO5uFyqN+6olsGrWl7is2jzF+12tCyAflBnpVyxENTE/f2zEdIjmGlp/4ngcBvqa2cQGPVsh31gGIY73LnrOWAy2HM6vHovqmPvhOuT04i9OC5t/nuaBQdMkdZKzuGwaLiI1OxqDnp/YrBg8wrLnqPweF2W6QF9XKd3VGFRtttGrTztEXoShMQrgy3CYScAvqkBajTK4R1cDM/+2KkSNQnpSYADJaaDkXQL6EM+7iU5r6aF22emZKnb8GXEa3rUHfbonXBlBr+G3egEAdW51xS4PT0WjFMTzPhj/xNS4tR2XTayZadyZ20WtQdC6M55hPx1Sguh3/ns3Gn5QF2nGjnjAq5JeH5rGla7jxoAgRgUhKnAMPpxdxP1WH9gZFplZlTF+ObQJqGnRXB/e36E9IgpxFOt9cpnW6atgUxne+ZaNlPxWH9/AcfewbxruUup3b3z1vczmKZPKPUbNObgpK247FLU1s0zQrr/KU6JEFHCqf1+K8WqStvMerE65PzeWIqPaDTcKJviTCAk97Hx9Avq07ZbQ6OoUusUCgUCoVCcexDO09HCzyJZgsrUqwI9HTVPS3no2mrFgYKpwaFts1Ez2ZN2hVpObYf2iKagaJdAVoWTBxjkzLJIwmGRYpeGLl7dgoPbyAJvhs6D9iL+dEkYp9gG8pgFM60km8TMEIt5AMt3xo9kikzZLayjik4+NywusfbBtikuAK1cGQ6Jy5Hm4NZwMtpbA82Znh6pGqYMJrkGI8R2gyCeCp6b6wfYkYumHL1NEqYxLlhkRrDVOk+CXcAhqP56hkLVpVfT+7XyM7APo8pCpkqyxNNWRjGzwyb+prumW+2l9Ki2NQowv2AaWbw9mQnDstK+sXSJMNok9DBNmVLJOcU3ZZYoUCScGC4UvYPsjEultNP0N35eMD7ts8jhNtsFYOD13e9H0UEtSpQKBQKhWIHYiOm3nTqToYyT0cTpAdvhaOJm1M02+NFUc1Fx7bZGoTfdFRVFXk4ao0YnsyMwWDTjlIFUajTD1AhaTTa9qki8nrETawLcD8qdo80Jz2kLZ58WCLiU6px6DCvpKLkVi2NM+BE9qiRi1Sh2WOP4eiR8cjvE6dnkYXcVhdkTTGzJMNE99nl0p1wUM3RUjnyZdkkwD5pcNOm66e15mgtCYJL1DlVjeaJmnHW6V+YRoyJ3CXmqXPQ3KI9FAXGLc/qWuRVmFIlAmVS3DPln5ksZq7K+SJOoI36J6/pWf+vILbBG91SLZI9ICbwps8X7kutB4LUMHnEMuMxBgj2kU+6zHazr3QTdx2jd3HXrezeQ5IGbqs04oqjA2WeFAqFQqHYidiIaDllnkQo87RZgPl+mgphlug6XhQbEc1Ko1LNRawLotEswiibmvVJYGlZUhEnsH66kBplk/JXIJ0GsDZheDPVT+BosEs/5jUmXMMkjBK7wv6l9Cs8Ss0bMvLULD2BGh3UPQGo9glNMWlbgGU65PKD2KS9iXaeNDjYWb8UoUfZHaj/cDUKGCGM3qvrB93V+sfbQx/VJ5cFWqsTisNhO521gdeHmcocXHWRZIaxtKnbmSVlbo3UTOibxPaOQi0cPo9033w1EdnVBW6SiW0Lnj3H5I3c82d1P3isoHci7QA9UfRMZ6G+JxKNdbRRen/w9Ez4N6aG8cnB+7HmqQhkPPfcrDN4n6YDZOtd8tmuiTRzQDVyRxOYHH69H0UM7TwpFAqFQqFQ7MTO080332x+9md/1uzdu9ccd9xx5mlPe5o5dChh7uPw0Ic+1GQwaiKfZz7zmcE2V155pXn0ox9tFhcXzSmnnGKe//znm8kkNv/bFKDOh2sV+Nz5dG2jnaQflGNxouWd2ql4A18OZcc6tBWWkbNeND6rbtA2q+Og14CmkiDbBSPCLu2JoI86sjSKEgPzpg9IwtmUH9J4UgSMECYcTg2afYRYYgtJT7U8BRNP1BzJ7blhskcsz5pKurqOHx5uWCy3jBt2ptpG9VPYluC43D7jarZh9riqrzWwVqh9ApxWHAraRuuH9rWlmQEEiZ8lwDUbNmGqKRaJH6oY6cqjuFq2TxpYJtKTUKNdcT/KIgEbw3VA7KbOaGRdSk+EkXYSnMdT7dXUwkzkiXOKxpc90jh1HUu9jG1L0rakPLWavxkz5crjt006orAjOfBWC5+qDfootq/mCTpO11xzjfnoRz9qxuOxeepTn2qe8YxnmPe85z2t+z396U83r3zlK/136CQhptOp7Tiddtpp5lOf+pQt/4ILLjDD4dD8xm/8xqYej0KhUCgUmwmNtruNM09f+cpXzGWXXWb+6I/+yDzgAQ8wD37wg82b3vQm8973vtdcffXVrftCZwk6R/gB5grxkY98xPz7v/+7efe7323uc5/7mEc96lHmVa96lbn00kvN6irxG1krMFrMzc1H0R2GJQduQ8DsuH9So6vUCDoxioi0Q2t4WLANnu0aEK8ZaYQqpGBoGtF8T3rgQM+fBokl2KbBEtU7hCwT6omyIjwxNKqLun7baDvqAi4hsTzLm+g7KY0KYPdwNUoHwx3G64g/9D2qNVC4jeS31LBV6AfVeCalsOiMxoJ2WKVTw3xJ5axV70TZprpeI2qesH6qwwJmEJdJzuvAPA1GRHvImL3mmcrWnhWAaIPaAE3l3kdRHXniRw9ZWl4m+kRxDyYa9WoT9TrtIjK+4vGFUWy+/oSO0TNhfd4XzHsq6efGjxPajbcYYYki3WKK7a4IKyRpPm255N8ObSl1MOc+c6230FYxUOrzdNvuPF1++eV2qu5+97ufX/bwhz/c5HluPvOZz7Tu+6d/+qfmpJNOMve85z3Ni1/8YnPkyJGg3Hvd617m1FNP9cvOP/98c+DAAfPlL385WebKyordhn7aXxr1i6nsQ1OL02y9duu1rX0RBZ0Tso7m+Rp2vOQzQu3jS4dvz8qOHsK84/bDcGg7rRm+zIJ22x+lVBmJtuO7OJq2i3dosy+oy6kbNhTNM8MyD49HQg69slWYnmoPFWvTcprt4g4OdqK+Oz6+2Y5N3+F+vFMGnTXML4e4abLbd3RmTcvS1I8pY+D443M4ZPPWNved6yxRA1E4DnqL2c5T9yxyA+n+lToQKcBzLj3j3qui/md1D+m8+Y5BuAtNjdRpMcA7BcGPepbc3w7qQBCceB9ALzacGpc7P1XH/EXQtlSfvWcHtLWOGX/kuwJH5H26d0BxuDI2OxvbYtru2muvtXokisFgYE444QS7LoWf+ZmfMXe4wx3MGWecYb74xS+aF77wheZrX/uaef/73+/LpR0nAH5vK/eSSy4xr3jFK9Z5VAqFQqFQbB502m6HMk8vetGLIkE3/3z1q19dc/mgiQImCdgl0Ey9613vMh/4wAfMf/7nf66r3cBg3Xrrrf5z1VVXxRt1jVDympHioyYppJUTHz7tSpsWloYvZ+sQY9rl7N82MNGrH7nicsziTqYaKgihplN8VNAahEjTtvNjaZ+S5CP8ugk43EVxcc0SxelZGiZjvph0my+yacG6DCjX9ML8sLYMqGdZ3NScqVOWAIBhAaalLaEvsEOUsaFsEQU33mwDGmtyc8qmrLWxBuOqNEPSPpyu44zfjZNmyl1CKmFyzfyxuW4EScLc98dmyvJUBwJjxjJF6DktLjIpjOGthkUYbOItSZxhLbJLiZsVLqNlnaYwrZmYbvYBIVhguB2yVrJVSCbLEvAdwCUDC2GSYnFmmUzrpQhhnKLD9sdltC9LpX0Rt2+55Wl6rA3IT702qGB8ZzJPz3ve88xTnvKU1m3udKc7Wa3S9ddfHyyHiDiIwIN1fQF6KcA3vvENc+c739nu+9nPfjbY5rrrrrP/tpU7NzdnPwqFQqFQKG572NLO08knn2w/XTjvvPPM/v37zRVXXGHOPfdcu+zjH/+4KcvSd4j64POf/7z99/TTT/flvvrVr7YdM5wWhGg+EJWfffbZZr1Izo8LPfk61JkJmkEM6sU4bRWRMjobFaYwmIK2QmqmEwp2hRNj4t+Mi3BBL5HJwtrAkkA6R3ykXNbmfVESYroLEFYjYwogbXi9SDDgKArPbx4niQUsT4Zm9yhMWdLG8vgmo/PEJDcml7cHBgk+e4YrPilwoHkijR4wg03JHmChGJtJVdi/aTJdXieWi/omyjjxfbhQ++B03onVwxQp0HYsZ1wN3LrZHfWmllVD3VV83hprhob5AiaNMmAoni/yyoxBx0M1bIxdCq0C5DbZXcTnQmYqqhnYhcBChJpDslRJ9XPktpVufbdvcWjFTPbOyUJysl1zbMxGIyUUJ7tN5wemID6rtD0Ru0veXQG7zo+Bs1hlaVO3WCuTlKFuCvhcUy0Wew94oTnfNcE6gUa1gDQvTBgetBk8RY9h5bBO220ejuHL3uAe97iHeeQjH2ltB4Ap+qd/+idz4YUXmic+8YlWzwT47ne/a+5+97t7Jgmm5iByDjpc3/rWt8xf/dVfWRuCH/zBHzTnnHOO3eYRj3iE7ST93M/9nPnCF75gPvzhD5uXvOQl5lnPepYySwqFQqHY3tBou9t25wmj5qBz9LCHPcz86I/+qLUr+MM//EO/HryfQAyO0XSj0cj87d/+re0gwX4wRfi4xz3O/PVf/7XfpygK86EPfcj+CyzUk570JNvBor5QGwKaRFO6D6mOQRodpeb2E24KYiqXlpQKmERTalunZsAbWKatEAABa5QYEUdl0kgjNyLOx/VIMDLIJBFHQZYRGlHDWINw9F3/4xka8i+yNZR1AYajORz5OKbTPIreg23R8gDKHjlnPSlJMNdfeXNNVyZPCOzbRvYBNupIOfKaJ2SZeNTcMJtEkX7c+uA7qyfWZZg66TBFbWWw1mg7x6BkmVnMoa2OhUqUNyekkbHlkHM9KYHRSxg9rlF/wu04IvNaz26SSt1zEbGwQbktP0743pgKLK2LnMX0Kb4c/lYv2wwmG80Ub0djVdBE7GUrxAkywaxPR6wB9JzkLftKJqGS9qsHGyImJhaANjIBGbmG+4NG7omWFluleVLctqPtABBZ12aIedZZZ5mKPGRnnnmm+eQnP9lZLkTj/c3f/M2GtVOhUCgUimMBOm23edg2zNN2hTgf7tglZHz67C8OXHCkI3WBmSklapdi871wH1E/lRoZB0aXYXRJkHzUb+NM+tr0YLB8T+0dFI2IYWTaFsWEVXdFwkBjJ47VIRF2vEnAXiAkZsgu59om1F5Q8oGkU0H2iJaNCDRPZP9BXkfWIaPEfZh8WzoyeNY6oVA/RNc17QjbFhhhQvJhMrRG9guWDzPQPc0+xB5XldU9UQxR32SEusANqsrM3uFywApG0XamNsmsyRWBKYRrR1ghapjJk1AHYJd8OmIMp7BNcn+qf+qxXRvKuUHzbDH9kX+WJnRFJqaG8gabjEELQCP8oue8KcuzvGQ72x7QNQX7xGmqksbB/vkGxi1mzVMaJmwPnB9ucNkGSnSm9otSs9iNzdaj2qCPIoJ2nhQKhUKhUChmgHaeNguOZckcuyQyLS46BEZY0mjNfnUj44DViepK/E01VJKcgDMtC4kRpLTMjyKxsCoaMfp6veaInAt0Du8C883BNhcrPIIoPkYYMUoaMh+AlVVmMId2wE11yOiEPkH1d2Q3suDvdJJf21YSNdekWAm3n/QI2blmeW+oeXLsTE4YGSntCo1Mk/ye2linus2lLRvZqtMGt7L9CVuwhmEqZ53g+KyL+AyvJ2gb15fBed61uNL6fFgm1muCwv15stjo774kG2M/kklm6XsgVRRJu+LZGrui+XtwhNEgkl8UXd3hzxWcB1d/TrRPnizFy4WPbAuzjmxywL6zZMf8XATPckcSZXqe+0w7eeaIvK+CqEhSbi/QQ9lC8gZnGtb7UWxjzZNCoVAoFIoZAJ3Mro5mnzIUEZR52iwEoyiSRJMsS27fFzz4psfVnM7FQ6d1RYMII/k+w6x8yQkJMjKi9ToKVwA4H9s6cAgoR+lE7Wd/5+NYR2RX4ZCQSC2k3Ha751Z8lFxUt9t+VAjW8LS8ypiVcT1WkZin+rAzmxyYIkgMTBzG6T4UUnJgADA5qBXCv+1ysj9E4gGDY/+lkYWcGXL1Q4QeslGpevsA7Y1y9x89LuqSThlBG/FHGEEOvF7oGl+NC7LS/etZ03TbZhl1F8tCdB9jMYrVcJsmmrRZVmuWXCJf2r7U802zCfioXoHRoZoiuizwbCL3w0LR+X6iOfj4MdVeU05vmXAoD8D1V7h40O7vBpjMh7ot3m6rMXVMdBvKYXs9/G8xefKxFFmnmqdNg3aeNhN901WQaS2xIzPjw1gW8Uu/749AbdaZfmC8uFYy9GPfB0usQxGkWnFJScHRkAI6URVNz1KZcmHos9FL5nzNAumAEstAgE0S+U6ODAQBdtjJuXVlPliHh4F/ww92MbTx48m6cdpOmmJqg0/Sm5Xm1Pk6ETXt4FAxOkzjjTJngSBM40FHB8Tn89mYCNX7vQp8ipjE9nwKrg9uP9jDyqjPDT330KGjgnFEI4Cv7R+4tYPUGQ4eS5oMe4SOlLih0FiYik8cRyMyb39gu57FNusCat2Bz5CIYJoxXV65ay75nsJTN1ietreZ704eAV9OauDjbqNymItpYpr0L5mf4sMOHk8OXk/B9rj/Eu/XXsnFYYzXxwcWO7RcuqDYMdBpO4VCoVAodiDcOHHdZShiKPN0FJE0y2M3dxFmBonCmVHEt55kkxJxwMu0qVuCDeJ9JvNhQT4NCtk+smTgdUsjYzoC5SM9gRkYHJLbGdDtg7AeykpgdYvzsfOoJBKXpt0kloMCmaGblhZFgTkug7IhdYxNCMyYFGBgsO5rV/eKrBXYVcbHEC4DdkpK5RK3uRaKW6sEciGa6ToQk28sr2/TzFjBeHyOaoPOMDULAM7JyQuHo2sQXZOiu63VkN0nwmWtQ+/Zfr3FxML0ryAkn84X3UUtDMlUnPsHTg19jvct1n9IjIlPmI0Pa7OqEUwL0242QW8zTe/bnjtDTWFqK1tNC9mRzcmOrARTh8HfHbdr1/nH9dZoN1hBBOZUZF7B1CkvhKVmISz9liX/bYM6jG8atPOkUCgUCoVCMQO083S0wObyIdR+ppHKGqbyRXsD1FW5Hbx2SSJ/cFUh0VTNNqlQXjpqjEZwaFeARU/QMoCMcgGoH8nBSoEOi+N64zriNnF4ZsKxSlJKlNposSkkJRyv93fFpRIDWzPOet1AEE+khOT1vmXE0CDLZJPiCtTCkelcMo0LYl9RpzRqw6HpnD9un+qFvT6+O60zx641TcuhahUk7Y7lipMcg97LC91dehvUpQETxc9dYDpKrlmUqQjnNnoIyKX1nGmN9H/s9NP107kWdsnpd7o0VJ3ayi7mwGqnypm1U/h8B8fLNEdJW4Y2k1yhvkaEDszR1DFcuDLWWEXsEr02wt+zmhz31jF5GwyzJVCrgs2Dap4UCoVCodiJ2IhoOe08iVDm6WgiMQKUzODqtBGJoQ1ne9jogJeXy1H0ZIdQM5FCm5neGAw2YX82SvbMVAVRcwO5LBo2vTquR6/EuiBKWFp22BMEG4dtARRL3UNGiV3i0XfJCDkvC6nMcBCffLpfnSCY6cZIHUfGo3gfy7I0+xyezEV1AGtjLQkc7XHqMDS2pGaayF4tMrEd1xxhBF8d+YbRf027Crd9kc3+WgFzTWSsdjl7As+qmdy211s1VJk5oThsNgQtuiWflqNFn9i53KZvaaLDuJlr/XwI92OKRY3aUycGLueLJg2LTT/i6iQ2BtWwiOriz1a+Qu7XVKLh1PPL1gfbZKS9znogIl7xvuEGupHJZyZG/IbbhOe+E2vVK7n3kBQlTb+K6VsU2xrKPCkUCoVCsQMBneM264u+ZShiKPO0ichgbj5FHpGRWBdoYsqwgtnaI0X0BMl9SQSR/Ru2JWZ9kWkftp+kUghTOfAGuHLo6JaUwbeL2kejiXgknTR495onIXoqM+bw4bmmKrctj3ADXZLVzrCTLUXWoSEjRaCD6hAPoEaHslu4z5HJ0LI8tC21oSW0tx7C3zzdFRlf1tsJ+iFBByV5N+EyqBuYnwPlvBjNZ+tx7NO46qI605hWpWe8pGi7ejnqvEhaGaeB8vowU5lbVhai68unMUoaWZcQIUq+PlK0bC8NI/EJorcDTzdEy/W7ck80ySRz6jSNQdQcY26nJWGbpXobfVG0imoSvSGn3Cx/DJJBZo5RgeykcX1XT72X+P6Jtk1oO/F2bdH3+OUtxxqwS23M4dFEuUEfRQTtPCkUCoVCoVDMAO08bRYoYwJz89LIIxlxEn9v0zQlvWjYaKyJTnFu3W1szQxAHUczOosbGLQZo+x8OhZeYGUMjI7J92DE647Bprrw32UGYHCkTZMUL2sjAlMap/Gkjpji7FRQPIm+S5WDqVl4dB/ug5qftrQkKbYG23b8sNYKQVm4jLNSe4pl0YfKRrsxGgaTEgOGa9A61W1Dz6iwztOKQ0HbQp1WFkQswjnh0XZwjHAeh3MJwYl/MDiNGa7mkNz02yK3vM+RFHlF0ocAywvJgXsBb9RyA6Lt6CWljJQ/D1nIvqHHEzBhHYJkUZfUwnZ1QtyXtZ1E4uK5p6wQZeBlXRa7HWa8rZtZhS1knNi03Xo/ihjaedpMROJM+oX8XVVmOuq+FJw6jjpFLH2JiLaOVw9qOtUm/i/8CPgXk+34xNMfVQF5ZLjKkk2PQV6sZOXCi4/Bi3T5D6Tt0JS1NYE1TiSdG/I3/EjDNlOXOJAaWVLA96FL95Il04JUQacHp5p4ORShSWYdxk+n0ihSZpVhOpN636snx5sUUh0w7CjRaUHaoeGdn76g03wgHPepDX0OvWlQPx4DbadkVYDXwV6LHh2hrpBsfknj71n7/eq2Wd3b7zyF7wuS+1EoMzAzBAE5bUcpT4Xbjg1ZHnYk4nRIFpJrSWpah24bCchTF4QdJ/x4Y/tJWpZIoN3nB16SLbjl0TswgZx1BiXpgBigs1WdqGqDPooIKhhXKBQKhWInYiMcwpV5EqHM01FAPVJio0EGSi9HpAUTOorml0GFXevlDaghGmRLbxuJo/1AKzUNyeGdB6AkVI+E6Lx9dAqBjRp5UlBxioWMTsNpB1I8mbopy3i6zKdLIYl3WxGlBwlF5AdXY1sBFHwjczIayNNMnrEiInEucOdMFGwH7FBbKhY+fScJx4H1AaYLWCxqjnnTZDfZJlvztN1wxlcRTVNj6wZhv2UJSZvdeYlvrxRN2fLckV2mo479UhDYDX9fZswYk0zfpaZNwHoAU6FwVjtk1Mhzxk+zTahL2aeWdieYo1a225lZ2sS/rr4UKkhSnAJlsdcwpZdkliS5gyDo98UJU4Opcjrf04ptDb28CoVCoVDsQGyEQ7g6jMtQ5mmz0DZSkjRLa6FG20TiNHyZricjP5ib70ymCWxZHy0Uzo2z9AzhNjAEjXUN1WjAEgGTRro/i+Vpe/3AHI3k5VEzXPXeOsATXe3XAJiM+WIS2A9I+1VTZwIYpARpRN7w2TdaFuugQu0ir40hLbtk6pQlQXvYMJ6nb6HwKVUcTYD7ct2UhEPT+XrbFtpguQIrhbUxT1N3MoG5Av4ItUxcw3TjZK+gdQr/Lpgwv360wmiCqmRClWydPzYoMEY21hZE19ObpWdYPe7HGVOuQaE2H3RbbEafMHNrqSJRJ01i3OlCkdBx1syXPY1tddFzQETuASNkGeS0tqsN9JpZcTjXg/oNSXBIijnC09lHvN8myUww5UcVmhh406CdJ4VCoVAoFEcV3/rWt8zTnvY0c8c73tEsLCyYO9/5zuZlL3uZWV2to44RX/ziF80P/MAPmPn5eXPmmWea17zmNeZYgE7bbSLa0plIaUwwBLgZNcHIOUuO6opVSJbLymBIWRIETZlW9SirLSVCAjZR5wRGqKwSCLt2o2z4dzokDFZbHdySwJbVHINNqGxtDv7/9s4ESJKqzv+/zKzq7um5sIdLREB2VRAPFFSuRVACXTcCjxAvQgUNXFbxVkY88FrFXQgWFlgHYxdYFcMz8AqdkBAV10AkUBQMnb+iyDAwgDB3d1dVHv/4vcz38vd++V5WVnfX1HTP7zNR01WZL1++zMrMeu/7fgerynGOjFdOZR/lXx7AElWKTtKCdlS6zChTEe7ZFmaQ8EwWrOlxHEG7HbNcyHnIAa2YoH0RtV9yJQbWmHImSGYGy6IedArjCppMl9oldbNWuT+TQsU+nnaReiXfttqGXDHTSlhpG0XrCdU+B4+o10N7qmKf40Ebz5y1ngf9RO87PD5qm6UDiPI2+7wezXLPZe510CPKj/aq0jmFneFCUDDlT1mmHAWotOLzgHhyVVI2uYa5xcUW7exAvGrc/9zRFydZr0Ss0GEHZXm66fLEDqgTV9rjDpOSQRqEtrrOj8GhYqHSrYILL2v5lSxXqBV9iFTRZgqT73lg2U9a3w2p1xRwfL99JAh1nkcUaBL3O999D6vtf/jDHyBNU7jmmmvg7//+7+Huu++Gc889F3bt2gWXXnqpKrN9+3Y4/fTT4bTTToN169bBXXfdBW9+85thn332gbe+9a0wSqTzJAiCIAhLkT3Y2+4lL3mJemkOP/xw2LBhA3zuc58znacbbrhBKVHXXnstjI2NwVFHHQV33nknXHbZZSPvPMm03ZBY/5tPAZMcHHPz/S/KulGNMUUqzBHqK7Lte5z2UA5lyBcXxdUY3dZamxEdHLNQmNxJUekI3B6Na9XJOi8s5ouVJqFYZyVkxfe93IOOHxNVL7pJZKdD8cgUdbZSXPnQXnu6zrGisa669bZjhcRBve2oDRKqLlRp4qoSPSatTFGvOeNlx75YbWOl23Z/d01eHvKkwxS0oUKbpbl43GFsp7zd5bZt9BDk++gzBObHGVJJyKUeEPsoJ4H73tIBMTPufWfsd4itm1J3bPWjLkVSZT/6vS8JrvakQ3V2rGisVpRYGXU/o6rDt2cJuHnMNrquSbsrMevopnpV7PguaWBcbXM0R3tQ81xxeEtS9HnN5pIey6qH7ps3pt42arGAKhB9dTp2IvGFYNu2bTA1NWU+33rrrXDyySerjpPmxS9+sepkbdmyBUaJdJ4EQRAEYSmSLdALQNkbrV692rwuvvjiBW3qn/70J7jyyivhn//5n82yzZs3wwEHHGCV059x3SiRztOwcXmfsbl3Ff+J2Be44jwNMnDJvffsZTrysdP7pCBehtk6SR2+us2H0sjHpKfg661ts2b2YCtXVLfD8nguie0TPw7uxWQpUPwgUAwslAkVZTzIbIc/Fj/JpzqFKjo5gZwHrUjRyOJUPaJKSVzELXJFyUZFCLd7uLOy2LbwmGNfkkuZ0epRrhZVo3BzehmqbSyJMI0iHqSwX7TduW00x/Qs2tvOfKbedNT70KRxyZM1r2qXaWRc3w8uWzHZqRcuLHVFLyMxzpzr/dU1KeOL8p+hXSDHsi0KIKO2kmnNvUQvBZrCxVU2pFmEUS3jhj0OG7hu0jeTgpWWqo96pO5xniDcW7jcr1aOGnu2FTH3eBmevsVHbWynhg/pE9ZeDYsxPcvGjRuVMqRfF154oXOfH/zgByHA76bmhfZOlE2bNqkpvDPPPFPZPS0GxOZJEARBEIRaVq1apV79eN/73gdnn312bRm0b9I88MADcOqpp8IJJ5wAn//8561yBx54IDz00EPWMv0Z140S6TwNEzZqrEC8Q8qkvaxIsRwdqtC7rrI9AdOvUTMOFAx4lNtkPIDWTDHP32ekVJfol7abr0VbhahHbKy4IoWLurFb96TnKU7Qrc1a7bQZ0cfiG9F7opOjqtMaT6A7jUYi5aFyRWflWD63n+eVK46bxIjCJtP4Qr5Dmu22AJbl9cRpCK0iF56TmoF6rorZy7QNk1KJ2LbaMw2VKW2vRFUqrUq57Jzy40ZvOHdb8/0Gar8htIz90iD0IIO2etE2B6pNOq9dHdwWjC5XywoVUJUy76teZZyKNxeHqRAVNdQB3hcVjy5ajW+d00aRGAOTezSaSSAZL421cq9dR7u13SFVnhzPCuveYhde2iq3NYKlq61E/aIKtGX3yfLvlXkyQwi6if19aEW/aFs8EUConzlQjduVFepS4rIPpcfnUBrnFKOJqP/BXmYwvt9++6lXE1Bxwo7TMcccA9dddx2E7Fo8/vjj4cMf/jD0ej1ot/MnxE033QRPfepT4XGP8+fn3B3ItN3uIGAyd7HMQrksu++2fmkA+v1e+ToW1vpgsJvEtNVUQuTzYlXUcRinaldpXV4bjuJD2QT7y+wHdRGIL++IVU9AJUkoex/2qm7pOlCmXpbOVscRNIEv/uDy1Cp5sEzWmfJRdLL01J1r+gyXrWjbPWRX6pUDJ/JpM+yw5AE0y+kszRgJPeDC1RnKjaz9qVz4tCANb+BLStyEJ0QrTagD/OcL2aDPBf5VHT6WnoUa52vDfNO3iO2pKfOWXK9py/3jS1EG5INMyekp3D4dIfoDrgZaKkAlGYCog6TlPT/JxmnD0SlxLEsnx/yDPJag14ly+mCHQtLBqL6rMkuovz4yHCT1mbZzOdjUpWWiwYd52AIfKf4+u3xYTIezfntTpsZmfreCO07n+RpS4zdt2gSnnHIKHHLIIcq77pFHHlF2TNSW6fWvf70yFsd4UL/73e/gq1/9KlxxxRXw3ve+F0aNKE+CIAiCsAShNkvzqWMY3HTTTcpIHF8HH3ywtS4r9omG6T/84Q/h7W9/u1Kn9t13X7joootGHqYAkc7TbsY37UTXR51iBOQsQGV3dxFMxstzy/LpNV8IBGr4jYEtW2wqgifYjMdDFWSTH5PzGFOeesJlvMrnIjNIx9uFWmV7ndNRZHuHJxEnHTy3MghiqlaUI/tycG6v9xlY06Sz+j2qHVE7hVSrHGrAbct+WHbLLIlsytuim82mAZVihSlaiAs/N5LGMpUULoVahNu0C0NrHc5gIujBbNoulB6/2kTrxPc9clL5+mRIw9S6xMZ5OzLYb9ku2LhjH2sZnn/1HZgoq8QxoFCd+JQ5XifQ8YcP8IkPZWqkenmiXwiAfFkAyUSUpyWqrNPtzyAbb7sTdFs3uz0dVt2hu736lLVmk/rwI3xzrVZQtQfPm0kDw0I56OeRw7lGTzlSRUy/dwbnxOC8fc4/KljJmEfBNvv1HJ/HrMJ/UWiD/dom7ZWcffbZfW2jkGc+85nws5/9DPY0pPMkCIIgCEsRMnU5rzqECmLzNEw8LrxIvzQBLmiqgyZpV1KX6zNvIksJ0c/Ntwl8lFqxVXBddWgcrsncxsnxpB6m9mtAE5sIVCDIsRf2SJMT3Cq/mnzWZYek9kVtbvoEYOQBKV3LXPuiCszm7qpKCATOdJLbaVmpTHT4gmLZ6mi6tq2oLk2nY7WJgReCnVl57lEp46of3X+ZIiYv41MIXelZGlNjJ+OK19l4V+THTBt291Okm9VLG1i+jfdZ1rxNYV3ASS4vl/s1bQ8Le0afiuPap/mcQjDT9YYx0ZdwyAN9Or4Pl/F4v2ebK8SLs+3aNFU3w2dYru2NivpHgiQGHhrSeRIEQRAEQViKnafHHnsMzjrrLBVnApMCovX9zp07azM2+wJ0ff3rXzflXOu/8pWvLPwBsNFUrVuzGfEONlyplHaNGCz7B7rcUZ8eUbFwAXxbHHH1Jv12CLquZJLMEutjCx02GdTrxme/wDzs3Gkv3JtGGJqgUCWoMqG957Snlm3bZKdzwbKRI9RA3SBNK0S6npZDvuCeZtO9MfPZ5ZKPAQJ2xeN5e2qUoce37VQG2kNvEPT+TVoXDI1A6tmU7CjqnvswO4UUVoZxnuSYp4uxwiuU54knPTZ1eYxYnN+RJQv3ScvB7FwGVYwGLd/PhgfvlWRZeW9x8zB92rK2w09f2Se5G2R7CGq5RR904WXKPQmZ3ZIzrEgLEwYzVZ5fjsQz1/bgK4uYcCjs9NQmA+/TNt6GiqkdszmtePrOI8XLUEgX6CUsXpsn7Dg9+OCDykIfYz6cc845yuL+y1/+srM8hpLH8hQMwHXJJZfAP/7jP1rLMb4ETVCInTNBEARBWMzsyd52i51F0Xn6/e9/D+vXr4fbb78djj32WLUMc+C89KUvVfEhDjrooMo2URRVIpDeeOON8OpXvxpWrLDTf2BnaRjRSjEQpPKG8ZB7oWC4PpcBVM1nkoRXf7Y9eOxNi7yy9n6thhYB6eZwj1jpKJjHj/aQ8yYZDh1xaLo9/PKsuE/q5lUKFTsOnhzY2UCHQlC82bVzXHnH2SurKHVKp3Phy8l7o3SYwXkG7VZSmxIF1RLu6eay05lNWsZzDsvjqy62kkkAXAS4RIXKp+LodZPo5knrqCQKTmF7OlG8zypJiKOi/FwCZboUqzJhcWi3Nwtgv9YO2AhTRI2rpp55dHaybzqadDyDbEZLvc1Viwrk2ue2gyrBLZB4SOxexfsElehMlSNlqIqjYsWlecwkaven7o2w/IErglEaj7TQtmusKD7shzHsJGXgS+3FF9arQi7lSrWTKhbm2GtiOWF6H1dsqYqtlboZ2Q55Xfkf9KqjHsPGm5iUQ9ulrM8voYo9y565/a6LJuaZwuJlUUzbYWZl7ODojhNy2mmnqWikt912W6M67rjjDrjzzjvVdB8HY0hg/IjnPe95cO2115oYE4IgCIKwaBGD8b1becKIo/vvv7+1rNVqwdTUVOPMyv/zP/8DRx55pMqfQ/nkJz8JL3zhC2FyclIF43rb296mbKne+c53euvqdDrqpdm+3Z0oVY2QLLuiZhdhJWllr4hsXKnf3qbJALlqF1TaKtHRFbVByGOtsFEx2CPJ0j6KlNMDWB4bpYOpFtgIkyQZVn8TrQgFXm/F3KPGVnsaUyhS5isptudKBdolcW+7vInlsk6vBWNRUjxnqnY36vDC0tZJRch2XAra3onuj9pZocqj1us4T8WXpP/+LV4JMP6gibxt4kGp/eVfxr7t3E6wzj5qZTQLO5JcYdKqGO6bqj8uQqI+DQqqVag8JcTTck00A38mtiI0rhUeD7ZtLIyhm2BaGPvcYVkdYbw9HkM3Hmug6Lrbbh22y7Oqofervr90fW57oABAx2jjSqunfm4X5PT6QvR+8d6qs6csfjDdaZD08wKT8qaQtaJ62yHqKk/3qYftzkTF9L2/nbm9kY7GTpY5UIl/80u6tq3eY3GohnS5eh4leM95yu1F6Vn2FkaqPM0l+/JcmJmZUbZRLtXpox/9KJx44onw7Gc/G9auXQsXXHCBsouq4+KLL1aRT/UL7asEQRAEQdg7GKny1DT7MtojPfzww9byOI6VB14TW6VvfOMbMD09DW984xv7ln3+858Pn/rUp5SyND5u5zLTXHjhhVZuHVSe6jpQaHNgKTKOEVIy7s69pT9TrxZXMl5TL62mKOezceobl4bbXfQra95nKsaUGu2RtlgjGExl1Wp4+akcWVy+qp5POvrUx9eaRi8/ZqtkOwxBEGWQJWV9rphJvTSCdtQ/SW0TfDGZMK9dt8hc6rJ70mqKVpbo+/xzHn1ce8PVtgEyo2AZ2yJy8bjiUOkI572stL+iXnvRgN6h5b5Sr60Vtm0i7EEvi4zyRY9PtxnPQyUxMNoZOQOq6b9MujWyUnV136j86k1p3+RcX5TxJbBW91o/zzoOnpJ2tU68/8rnhcebDvNKqkj/HiXInIfAVt8sldijshiVy3WwNct8x09Vaa/NVHV55VYjz9BqLj/P8ySsz69X2Wfi+L7ndmvMH1GelmbnqWn2ZcysvHXrVmW3hPltkJtvvhnSNFWdnSZTdmeccUajfaFdFGZr9nWcEFxXt94H70CZh5A2zFTutwDFjEn/+nzyfO1GNfUQ4280tHQFmnMlB05NMlK7Y2dPzZHpD57g1Pdg5ufMZTiqDeLVj4//2AJMBWN+TfT29Mc1q3mul9vqTkXqSOMSFYExcapNhTZg9eDy7Z0JWDGWT/nqqSYKD4FAQybwxLwcY8TNTkRuMF5O5WG5jb018IT2Y856uKE4TwScd1TyJMKPJStg/2h+IQr0VB1O+VFjc187lHG46iTS6dSqwbie8tQG/148ht7e4tn8whB0VwUwvq3+hwmn76z7T5kA2PdCNtYCwA4QfY7oslZlng4Hv9dcSbfJNKPCdLL6Hye9z9PxCKJdbN8uHMfJd2ay7XCTCDMa8gcdVVOnjsGpFdWiboxknh1lW2i77IaOsNOkWYjUMBKqYPHaPKGtEoYSOPfcc2HdunUqVMH5558Pr33ta42nHWZoftGLXgRf+MIXlOG3BpMO3nLLLfD973+/Uu93v/tdeOihh+C4446DiYkJFQbhM5/5DLz//e/frccnCIIgCAuNhCrYy73tkBtuuAGOOOII1UHCEAUnnXSSitukwQ7Vhg0b1PQcBb3nMGPz6aefXqmz3W7D1VdfrZSto48+Gq655hq47LLL4GMf+9jCNJonsOTyPf1IpgpcIyO6LSb+dW1rQCXeZWBu1mdOCZqHO+iXwNibSJN8Vu3wjHrNTcmD91XSNmQQdezkpK5zVGQisZaVgeyIrGCm7ez9pGkeJJMaJmt1SAfOnGz1iXaHBuI6R4T9swAAKa1JREFUMbBTLMsXrJmopkThwTA51C1fJeQtFC9feVSYTGJgNjWnp8BoqAFf8t1t8aSanlNG42wYak3bzXGIG0MCbWsqzl3uETSIrwG/K3ouysTANWl06n4XPMpuom3P2X3tmwKiy1QZ17Sgft90mlxVkP8wVqe0eeDKsqw6zax82CmvadMmGmYEbdgxwG2faVmnMKrSteTnSLWzRsXIlo/769WKVIOpYUuxo+e6yeXJnoGV1VaCYtrI6nsrUfmoFShh71SeEPSs8wXERA477DBniAFUkvDlAtUsGhxTEARBEJYMYvM0NBaN8rRoIa69BpdK40u6WQPaR1V2xwwiK+uZfVEljAAfpaPNEbGFqoCDWTQKdRmOkrqVIa02Tu03gkxJmIIG8+1aBXMes8teuNh9iDZKamO7XCcZbEzBFSyubNE0MDpFi20zRQNWlsu17ZNSl9BYuzjBpTt+CitIYEufTRQaWJuUKoW6RBWjaloT92NBq04ug/TZrA1tDHI4BxKthKJyVHPhm4TGKqRBbuNUqnV2SIl8GYbY0EpTKUFkaP+mofZQ1CHDBHAt/jqaZYLPalHTJbAm1ZRIlsJbd30X94s1beK4z6Lpbl6noy6sv3baRdkAee5HooJV6mAqW3/nkz4/wEX7lXE62nH1wal0+1JPWQXJLul35jp8GrS0YTtc+BwNdgv4HS7ES6ggnSdBEARBEIQBkM7TEKlN7Iu2AC43XjIayu0ZbC/qwRrgSEfgaopuhzXCbbZDK3wCXk16lJLmba8PoMe8ifRfvm/tIZMBRLPMY85sX54jHSLBaT+my/ZsDyxUibSXnKuZVDFypfxwZZKIY9uWS6ldKhhkqTzR5MCuerHsWCFxmPQsNPglu4W1suQLV6C3pbZO1JPOhbaP2tibKtrurjuEcE7qE0/nor3o9Pmg4RhUe1TSYJ5uhtWh7MLc36dRCqPqxVlVXlkBl8KqV6lrsIkUwfaJSitz0a/aMeLN7FhGLrxsrAhzQeyqTDlXM9CTTttBmR3bCjn3QAy6tiuaS9WKJyJji2Wdfr0fvJzwmcPW87q8qhy3Ja1Z77STtDzrSNocfd4tLz5mQzWA7VKtjebuQiKMD41FY/MkCIIgCMIgLETnRzpPLkR5GjaoxOSSQy35iGew4UnGRsd1Ko/x/Kgpk0ywRnpSNNQ2xjV6pzYlLBifU51bucI5GlWjYOW9BxB17dGgfxRK2sDsV3KlyV5G0QErNdQLT3t1Ra20avPEm0DW6/exR72h6hNXTUpvu0I9KoxcUHVBJcaXKFirZcr2ieyX20GhKoXBKHl8JR2cUzMV7VRlVHJiHYdKpe9FW6TBH7Q9K9Bm3pYJR7Adno5mRatbOU67fAYrJ2f9uYtqVKS6GD1andCbpjz3N42dpNSd0u6losaS+EQqNUsfb69GaEWJtwfv5x5LjaR2lH822zjtn9gmceJVgFzev42OhalguZ1kvZpn1PvM81xh9mje9C0uJ1pWp7vNuh1kkcdLU1haiPIkCIIgCEsR8bYbGqI87WbMqJV6ohGPNl+cJ2diYAaN9F21q2CF60bcDdrvtE8q1B3jpcJGbNbIFu08fDclt31g0YNVEcc54slBTXoYj90TLm6NYULfPI4TVS90/CT8u3zMVjjsphYqUFg9D9yGikYL57ZTPlsqmkz44U4e58hrc+SI3VR6qJXbqFQnDdwYTcRyXW+fi0OrRoOi1Sqd3iVPMZO/XMmIVcR0/T1p+y9iR8bTs1QuM2bTYhYbKdflotlfPUE1tKyjur3zfc0uFeSUKhsiahtVxG/i6VOiGabaaQ/XJtHHqckTuY9rPfb4fV7YPSpVyKjO2iCRHV4vb7iqX6v0jKzV/7pKxoli20DAr6Te4V54DbezmOu6YSLedkNDOk/DhOaZKx4SFYxk7s4DRQPVVVfW795lcJmOlcHvvO7V/IfC8eDkIRFcUn3YxQ6Sp3EqvIHLYJ40CKcGaJnCCN2Jx6heTZOgcbij8XQ6Le20nLbqfOpK/0CbbfnzvuaQZrstZ6gCykSkrd3BG0pg//EiHYrVSarvDOkOF3Xtd4UywA6SCsLp+eJoZwaNzMupQ5y2w8m7wR+0yn7YYzRu7dtzjHw6ky43y0juwso0a/GRBpY1htKuw8nm/uMY9dhUuPOaLaecvOVMmXJKzoKkIamGGSB11OaKc+yfGbanpGNTCe+gP0ZF545MD/IpwiwKyxAleve+Tia+dEer3zOQPMvUYEoHKvUcZ8KnYGsN0+v3bab0+hQTFicybScIgiAISxHMG1nkjpxXHUIFUZ52By5J2KX66GU1krLX8JW8p2kBfKEO6MxPadCdWZ+bBIkrK8kqU4bl6JLXX04DmIB4OKLVI0ImE6eYAFUfg0vWDwBaO8kCfr4c5zPTQTId0Ok1tf+igm1dO2MzqhrcqBunAZ1ov4Egg22dCafy5AxVUDNXpFUgHfASlRm9bIyEHqBTdvhepXaBFCaCnjvMAbk4sKwu7w/COb+x9YFR7iCAypVSr3SIAtruIvRA3qZqqAJs274k5Y1Op6MuM2o7jeEJ6CwVXd/AqllNn9epwco4nE2DVZRcfwomUy7NIB3nc1xsE0caI7qunEL0qFO4m+XjLOVIdforV5D9U+y5GkSUPfMsIEpxoxAOdHreMYXtCu3Cy+hnR02YFBOapY9ZQr8wB/UNsT+ObOJLQhUMDVGeBEEQBGEpojqT8+z8iM2TE1Ge9hRI755k3HCUy//UBr/UNhztARSBhu61PBlqXIyO6wbtJgExFS50qhZq31TZEA3Ls+aGnX1sUZTqYFVfTSuzbNxWY6iNk7YDompQabpRqGqsUb5wA4m27mfL9d+AqWLKVgpTtASpUXo2d1axNC9lChfNbOFHr4yviaG1BgNQrgxnSB0uA23bAJ3aYOWqVHW/c2FnVhrm+2zCLFutPpbB+lyq70B/j9TEh/+uaDOiFlVw7DrV9h57wqahBagdTqOM9ZZRO7sfxtv5U9zYJFU3j1dP1NtK4TbOgL3URqlfGy0jPafBPIZJ4IqS5fuQZhBM2w8/fbxUEVNKmM+5Rm1UbZcuVxdweNBAlhiewGmTym3FpO+xJBHlSRAEQRCWIhKqYGiI8jRMKq765fuwUx268pGUsZ1wO4vV79oxYnaWYyNOl6KlPGH60F0e+r31BgGPmRsohvnIM1mG0f8aeDv1GUFG03nkQup1pVOw9PPiKr3Vshq7pCxXjmrageoNTc3iLJMFMN0bs5ZReyTNTDJWaxuV11Vup5QitBsiy3zhD7TaM52O9fXouzfeUfGamyt5EE77BObKWWj++r4Piis9S76ifOu1jekNKbUG+TFKJqrj14q65LM9JDZCyXJWzyBfgyeIb6nWMLXKVUWdOsZtHtuRM5iouu9VyhZ36ioTaNTRVn4rWSlVeDscbTY2UlTZ1zZu/NnSVLlyqJq7HXVM87V5GlHb93Ck8yQIgiAIgjAA0nkaIkE3nuOGxV/jLVP8qfPCc1GM7Iq8sv79FCO3ShLQrJm6k6ecsG0LKrvKAJLJVnnV6dGsGnGSHXW6tteNsnvytL3Shmqx2oB3xFuOO/e0Qp0KhNi/0LhQWQBRUcau0/7cbpUnX8d44hgVhSXE5fvnSlg/tYny+PYW67P20KNM1hrb5fvbmk5anm5UjdJLMU3LXEkhhdUhxo9Cjzp3Pbj/qdZOK6CperHyD0+v8CtPdTQ9rQ3vR2576Iqhhkq09+tMbVsfe6fFvULsjNTlxO5tS/Fx1K2JOuX16oz1RmNDFfec874jallpF1QqWDzWkk+ErZTL7JhZ+UJoFDzThwmmW9m568A83tN9iPxxdoeLeNsNDbF5EgRBEISliAo8Os84TSx4qZAjytPuwpGMM/f86N+rV7YX1ijQswv9t65KGnuFt20OAwyejiIjo+w8nlO1bDhbDPVMRGJqDIaRhovRDj1n1KPI1E8b4mpcTTwt9O7aQb2Q8mjUOlWLVjXQLokqVC4wcjiu5zY6voTBloLFGueKHYXLZhOMTp4apSq3/UHPt9L2Z0u83Gyj7ZnQO0/ZCBXl9h/bbpaXbWj2GFCxnsiDmMdaGiu+r7lEGaeKld7DmnDWap9us0uZy89J9fybZdxDslicjus4RQ7bDke8n7wCVkxlB2hQ3hO1XKkrzmS89OaprjYHQ9OnFJG8tWKT2xKRY8eyJNuB2s6psBB7F8/l0c8Wit//dWXLBrF2KxtIEpFcQ2NpMY+2Og+8ik1nH+VI3ybO9FZsW67wW053o7J5EoaGKE+CIAiCsBQRb7uhIcrTMNF2ATqKtucixNFQjJ5kUB+LpBLxlttGLQDak6XWEawyQi9GmGQESO08uMKmEpw6lDj/+cmcx2/iR6mV7qa2dtF67Dd54l6AsIUGX0W7ayJ/01xpLnsp0/yAK0l53Caa5NfFila3VqXSCX9NMlwdYZx9WTr+EbUZ4l56dZ5zK6PZyva4b638YF1tJbXYSYjn8zDRalXiSQWR584jXmqF+jZWGKzgOeHJlXWE8fZEje2hUYWC/jZyDvWT1tFUXTBqhsNeyNgK1dnvVWytiuuQ3D/pGE0hoBf2/6KoUuW2IdTnCT3idFJff30BtUtyqWtWUuKw2YVk2uCpU+9PFbLz2rmgz1LvsQQeLz7jkcgrhT0DsXkaGtJ52o2dKEyQ6XWbreusMGPouodVjcd5ua31wCofRLQNyRg2uAhcV3fz1K2jiZG1yyzdFNOuuOqgHa3CyLXS2aK7wfzBQc1DkZ0wvVw/q/MGkvocJ7iXRn0NtPP+X/0v6NbZZbX14I9/3qmr1uNK1ksDRWInCjs81dQl1NA9X7epN0Xq0FN/1YuHLtNBOuk039Zk0ryPAgzEOf/5Cd1p03/LjlrReSP71+3rJC2744SJnE2vhv2Y+k6/8c23P9YVNTRNaRQAdFZVz3PFGQTrafKbhaeEdeqqLvmukViQD+p4sFreriJMiPV8oveinrJ0tUuV9dzf/BToMizxcGV9zQDUmELw5Q7j8DI5uuM+o4OyBs/USlvo+fB0eIXFj0zbCYIgCMJSRNKzDA1RnkYJne8prs+o13+Ukjo8jvN67DLl6Kpahocl4Ns3AZNwmnroFARJqeBsa1i8CuNWZSTum76jsjFdzo1syVSnK4VLkLKy6m+u8GiVJ03zKTYOVYEmWtUpID2dZxSepDA8dx06Mxa3AnA6AkPS7fT0nFabfAqWnpLTKVNyg/HqVB4u06pOJUClo/XltB22s/romGuIgl4WQxvQAB73ax8TnW58qLfaajs9FjqlqtEKnvr+XE0zF0fxp+H1n9hxS50pOujpqQasZde3OahmxtR6O6Pc6nuGhxNw7YPXl2UQzna9qpIm5kE4PcdqQZan476HFqln5bJqG1xtdrSBHiMqR97YqK6ULo5lXtWRKUl16aK8z+ndSJalC/ISqojyJAiCIAhLETUtKwbjw0CUp2HCR1DEZdmXcsVpFOoxIHd4Ydv78aED8xVz+y4FqkxP0F9NCJMycSj/m38IVKoZbjdhRuCV81S1kcDgfRWDeUqAAfGqy8yokkpt+o8dBdC86yXlkFErMCoxMAuS6aTGUAbr0PWsmZj2ltP7wSCc7iCZYZ6QN8hgMuyW5R1ffKlW2XZNxu2/wSNgS2+5ClGAL5+h+a4M07fMTXniapN+1vMgmTRUgw9+vnLlie0vtlMJuVBpOSoL7Y/meib2M87rn1ah1B79nlamG1duqOowtkPuc4v3UDjtcDSg+1cBNAvbRRqg1hQujcDpMktR0+9rLhen3SaxYbLSrriOR4dd0A42xTJVL1GavQmBXdBz3WQb9ZgIGj37rMC8ru+SIjZPSw5RngRBEARhKaJGDqI8DQNRnoZN4QHi8upwJb+cb8j/WgWIjw6LtmkFirtO0wCYrmSfVkgF1z3K7QF8SpMvoq1OO0FozVTPmW6LCcLZc7fBaotuBlOjXF5uXpVJ76JykvM/SRIWpii2bU7IgnCWiorb1kiX1cqSCZ3ATg4PWaCh3mlagaLb4j7Hw57X606rOQ/Fqyv10XrmavOEFll6+7o6okqogtJGDI+dnjvtHUn8NsuKdLGIGf7Re0arww5loZ87u7Uoodd9dXuVFskXwdmEDKgJZKkKsGCUlbRLNT9+6HBH7kfrUufTPbifblJve4T2Ucts2Y4m3PV6zWbutC0DJT63bCLrg2XmbclVc9cx+GjaPmubUdo+4bW1EC+hgnSeBEEQBEEQBkA6T6OC2AJYoyY2N187v6/Vkn7edyjgtBu0qcZDh9pqWE2g3nvKg84u5B+lM48gPaLDvytXOEbH2h6hPCa7vqpK4D13KnBpHk8pL1jaI1GVaDZusRA0uWJElagWBthsQJ72pYzV1E/N0mD5sRC1HttLT7dHq0A8tpPrcy9rmW1pcEtKx3Gh0FQuedtDpyqEcZ7aVvCsZvSYNw/aOk2GSd9ztKo1y9pVVfgqqXWKOFoWNapSxg0bHApr2iLXmS9VSVhvv8jjGzm/Hr1t5vZETcdITDTLnI/YUfUSq01OOyjyXpsK+tQrZ0JwojI5zwt+3YXiYyUiZ0o82km6d1raPlWCVnrab6/v731Hj8W5D76JI9YVVe4HstNaSCRI5tAQmydBEARBWIJkaQpZbQTmBnVIqAInojwNETUC1EpMzZlOo8Jmgc2n09Gey8GoYmJUN0CgtkkcbaMzwXaiPHRY0Qb3kYqynJaxVsrRZx8PH7JfU8x6X7Y16lZtsDg0JYNrPaZMidrahsOxfXHwK8Y7lZhK+jMVAVjTy/3wbTGhryP5L1e1OI/18mjevIxWkVD96TlkyH71avsh85l7uWG0bp1aBjKYinYW9YZm32j71IIIkjmMUhNyYUSFckUFzDKuVZmOBpU06imI7eDHiG1eOTlbSCeOHRcqjvPUMJunynXvEGIbp2fhqpBOqIwpjVw2h03UGNLG3DPVoSKT+Gv2hm7VyTpAdvxBTBQsXl1hI2naoG0p+TMsCCDs2p51rudkndebeS4a1ZmVpaehRv3RdpJOB9wa+y5XkmgfTeOICYsD6TztDkgmc2fgSrWgoYxcQ6rz0jmmFvSDNcW0K2R/FbIGHSTqoksekJV6fZ1B1aksUkPUUTyg1XY027rr/JA2VR7mMTtmXd4cQrmB/gHmf33pUfLpuAyisLqOTwN2e5EJVRCzDosGp+h43T542ADduaBTctrIGjsbqtOR4fRdpLblU3s4pWc6KDgNx47XMtgujMyt9XOYssv3W3T+iu84TzGTv/iUoQs1RefokOIyE6rAFSSVUZv2iFxfvnJRrxhssEEPvR/V1JRne2fKEJqizlpeOFMURta1p6k2T2V5b1WcQnSqGRpWxGpwAGnL1dspyqak82PmvnkdtJ2u3iI0Ihm3jd6rHcQyNYsuY+1GDyDbA6blYftwPr/JoG+3I9N2Q0Om7QRBEARhKYId0vlKXtJ5ciLK0yjwjXwdoQsqQdiC/vUkKP/XTLEZ425fHSwRMXcBLt8zo3fqio0KPJXkfYE6iQGrqZNNOejkwPmDoFg8R3WubKA9nZZ1URUC99Qcpl6BDHb0xo26QY3NKS2cBmRGwbZgYIcqoFgpXiz7WrIcAPYd22W1j6pQWh2bCGxViO4j3zaF5UEZ60KrUKgucYNwqv7Q91iXSQWDIRfUVNrgD9o14XJr6i5vT1CTdiYtlUFSbmp8xirvS19jqXnkt8Wk00DFzzPNrWZFfVPfGVVanLs24UD4VLZ36tD13vWZo50smHLLp+jSyTH/tFTxXt3Hen+uacOKwlytwwS6dChcpl7aTofCVwbYJPsN6p+hPPwKeFSpOVGnULFkzcLSQ5QnQRAEQViK5HPWC1CHwBHlaZi4zAH4yM6MxkpbnKhTs43eNPWPUC1Dcx7Msq5e5nasDL/7kIwVB2mpRUUbi4THJhAdNVgl9hoVmO2DKlMcg8/moL2D2TQ5jjHDoIjknLjsicbbcWkc3UfuRvVDhyDoizb5CDLY1pno64YfOmyoOA91VuVliSJTpl2hBuBoX1WGNDApW0yy4GKdK9lvEcQT6/YF4VwodqS9XL0qzo0ruCcP0UDb6ULVRWyO1DVAhRZqH6jT37Tt+8BrF9hUsWiqGjGVJB2vfzwHNDkws03JDbbz9/EqlreoYu/jPhA7/ICn0eoezp9jFeNtVo6mXXGmZsIyM4Ua2q9NvnxtRKH33b7meeTanCvormd2TXgCqx6tfI1QhMrQcWcBXsIi7jx9+tOfhhNOOAEmJydhn332abRNlmVw0UUXweMf/3hYtmwZnHbaafDHP/7RKvPYY4/BWWedBatWrVL1vuUtb4GdO3NvIkEQBEFYtGCYgYV4DYkzzjgDDjnkEJiYmFC/0294wxvggQcesMr89re/hX/4h39QZZ74xCfCv//7v8OewKLpPHW7XTjzzDPhX/7lXxpvgyf5P//zP2HdunVw2223wfLly+HFL34xzM6WwfWw4/S73/0ObrrpJvje974Ht9xyC7z1rW9d2MY7BlEVeyCfXVFdnX3KKdfnftUkeuToL5O1y8vEGXaAjbSaoEae9BSg913V6Mj6mCwLna7adepa3XlSHnLMM9GlRqGKo7zkwK9I6e20d12gVS4ybFVBMk1y30ClZvHaPBXM9MbMe71/ag9UCVvATsJsEfRSea4RWyFtP4RhAPaJyiTF2iOP1zmdjpU2UWT/xsMPMrgnnt+gQ3vbuY6rtBdLKyEMXOW0V6NJj6O/F2rLxO2amOLA37s+V2DXk6tOSjpeGFrxQyGjfeOq73taU/uauic6tSmi4QtCGrTStonK224rx9661d/S7kgpY1y9QoXK5aGHJM1+pPWzsy4IrglsydR0+pxo8qzSkT98KmS/xMCi2dRz6qmnwte+9jXYsGEDfPOb34R77rkHXvWqV5n127dvh9NPPx0OPfRQuOOOO+CSSy6Bj3/84/D5z38eRs2isXn6xCc+of5ef/31jVWnyy+/HD7ykY/Ay172MrXsC1/4AhxwwAHwrW99C1772tfC73//e1i/fj3cfvvtcOyxx6oyV155Jbz0pS+FSy+9FA466KAhHpEgCIIgDA817TZPbzv8LR0W73nPe8x77CB98IMfhJe//OXQ6/Wg3W7DDTfcoISTa6+9FsbGxuCoo46CO++8Ey677LKFFzmWqvI0KH/5y19g8+bNaqpOs3r1anj+858Pt956q/qMf3GqTnecECwfhqFSqnx0Oh3VI6YvJ3VeKNaK0gPHstHRKos1eqs76rIM3RfGN2muCNmeQ4q6AWHRtu7ykHj3uGNNJctI6g/fDdnr2TIxjsBDkuqBejX5PA/7eCS2duXBdyxvO9wN+dwKU69XHILrojC1tivrKxStAKDdchtGcHWHK07KzJPEedLrqbebVmF2JuPGi08tZ18Y2jsd1N6av4ewSKWSmTaggoNlVkZ2uhO6n2pQT3eKFu41NxdWh7FSyqqqGrYD25+SQJ3ae7D8DuiyXHWquS3pvcKFT7fDolek9apLVAEu9lcfTLHOJidzKknJcjYOdtk4aq/VSqUqb5Aimi2DIVmpUyy7Sn5C7XOobR2tetTzoGrnpC+j3DuN2EQR9Sqvo7Sp0n8xrpadALna3njC7/lI2197vPx50vQSJ4+DyHMt7e3TdtyEBjtLaJ6DHSf9G33yySerjpMGZ49QqdqyZQuMkkWjPA0KdpwQVJoo+Fmvw7/777+/tb7VasHU1JQp4+Liiy82ShiFd6LieFbd9GkcqU5A3EshizH6b36jxr1W3kFS7xOIeyEkoY40jT2SvJ6kUxiodnMjRR14D3+W8YXLzAu3wejb/Gbt4XRL0SHrpRDjVEAvU3WpfeLDCYP89TJIuqFap6RvLBMnubt+nOZtTgO1LglxGg07Z7hNBFmcQRzHkPRCyOL8WPG40EAzTQOI4p46GDUBhn8xUGSSQZgkEKTFwaZJ7maddSFI0XI+giQOIS72jW1L40y1Fd8n3fzhmOApxuPv5OdE9V+iYnmIx1k8jJMAgk4A6UwPkukOJJ0E0pkEsjjMP7djiKMY4l4Heu0exF2M1ZmoFAd4DnpxF+JOCEkaQpIkkE4HkIQdtY1q/nQL0tmWil6eZDEk7TxHG56TsJ1C3O5AHCdq6qvX7kI37uaBK9MUenEKQZRAPBtBMt1WU39x2oE46UAQptBtd6GT9aDb7UGv14VuqwudVg+6SQgzWb7/Xd0EptMEZpIYZtWrB+0ohulWvqzT6cFsO4bpHh5TUTaLYTaOoYfTLCG+zy8e3E83AZiFGDqzPVXfrl4Cs1kAs7MxBGFe764iv99ElEIYBhAHKYzXWdM62JGmKsxBO0xgR5zCzjSFOAtgpherzuBMEUcAg4jOpPm+O7t60Ot0VYeq28vfx7s6kKBhcphCL+qq7zSdwWs7ggy/e+xvRD1Ie6EKnBnMJpDM5vdb2k7ygKq9QC3LemVC+RQ7m7NBfg/iZdkFSLDP0c1DHGC9YTe/LvGlrrUMIG4F6n7Be1/dV3hdxvhs6OWDJWxr0lX3vnKuiDN1nyUYcDQM1D2kLme8r+KWFWQzwHsoifNnS4xlYwgSPIsRpEEIaRjijop7NA9Ki/canp8wwfpwX7hNbmyu64jJvYuRxHFbVQavwySFOI7U3yROIInwHkzUs07VgaFHsM3F4AHvWXxWhHFX3fN5wwMIEtwGkwLiugTSMMrv9zRR3xO2LX/mFOuwTYAdKAwImu8HjzHu5QFC8aWeQ3jO0ryjpV74eFXPvgCSAO9VPN3YyS+efwEeVvEMwfPUBfW9x/o7TDJVt3oe4/bdAAJ8vhadKLw+1HM1xnpxH3k96nmtDxdPb/HcVs/z7uzQFR1NjD8E2QLU4fh9Gx8fV6/5snbtWrjqqqtgenoajjvuOGU+o8Hf4Sc96UlWef2bjuse97jHwV7ZeUKJ7t/+7d9qy+DU2hFHHAF7EhdeeCG8973vNZ83bdoET3va05Qxm7CAbIMlxwZYKvy/3bSf+2rW3VG75W8WvC3CoryE9lB27NihZkOGASo1Bx54IPzf5u8vSH0rVqyo/L597GMfU/ZH8/1d/8AHPqActf76178qUeKNb3yj6kAFjdyYYe/sPL3vfe+Ds88+u7bM4YcfPqe68cJBHnroIWXFr8HPRx99tCnz8MMPW9uhcoLyod7eBe9x44W1ceNGWLly5R79hePIAW8AbCt6FwrNkPM2N+S8zQ05b0v73KHihB2nYdrUomcamq6gvdBCtZn/to17VKdBf9f33Xdf9XrKU54CRx55pPr+fvGLX8Dxxx+vfofxN5uiP9f9Ri/5ztN+++2nXsMApT48uT/60Y9MZwlvLLRl0h57+OVs3bpVWfEfc8wxatnNN98MaZoq26imoI3UwQcfDIsFfKjsqQ+WPRk5b3NDztvckPO2dM/dsBQn3oHC12L6XU+LeXK0K9a/0R/+8IeNATmCnvFPfepTRzplt6gMxu+77z5lZY9/0dYE3+OLxmRCGfDGG29U77GX/O53vxv+9V//Fb7zne/AXXfdpeRA7O2jNT+CvdyXvOQlcO6558Ivf/lL+PnPfw7nn3++8sQTTztBEARBGA633XabsnXC33GcskPh4nWvex383d/9neo0Ia9//evVFCRO62FIoa9+9atwxRVXWGYzIyNbJLzpTW/S/lvW68c//rEpg5+vu+468zlN0+yjH/1odsABB2Tj4+PZi170omzDhg1WvY8++mj2ute9LluxYkW2atWq7Jxzzsl27NiRLUW2bdumzhH+FZoj521uyHmbG3Le5o6cu8XDb3/72+zUU0/Npqam1O/zYYcdlp133nnZ/fffb5X7zW9+k5100kmqzBOe8ITss5/9bLYnEOB/o+7ACbsHlELRUxAN3hfCS2JvQc7b3JDzNjfkvM0dOXfC7kI6T4IgCIIgCEvR5kkQBEEQBGFPQDpPgiAIgiAIAyCdJ0EQBEEQhAGQzpMgCIIgCMIASOdpLwe9UzCIKMbFwngbgp97771XxRvBAKzLli1T8UgwRcFCRfFdalx99dVw2GGHqUB9GHQWY6kJftBL7LnPfa7KVIA5NzEeHSZAFQbjs5/9rInzJwjDQjpPezkXXHCBBARtyB/+8AcVAfeaa65RAdv+4z/+A9atWwcf+tCHRt20PQ4MZoeB7LBz+atf/Qqe9axnqWzoPB2SUPLTn/4U3v72t6vUFBhFGaMqn3766bBr165RN23RcPvtt6v785nPfOaomyIscSRUwV7MD37wA/UD981vfhOOOuoo+PWvf21S2QjNuOSSS+Bzn/sc/PnPfx51U/YoUGlCFQUjCCPY6cScVe94xztU4lChP4888ohSoLBTdfLJJ4+6OXs8mG3iOc95DvzXf/2XyiyBz7LLL7981M0SliiiPO2lYHJFTEvzxS9+ESYnJ0fdnEXLtm3bYGpqatTN2KPAaUzMF3naaadZ+R/x86233jrSti22awuR66sZqNr90z/9k3XdCcKSTAwsjAYUGzHr9XnnnQfHHnussuURBudPf/oTXHnllXDppZeOuil7FH/7299U/skDDjjAWo6fcepT6A8qdWizc+KJJ8LTn/70UTdnj+crX/mKmh7GaTtB2B2I8rSEwOkQNJSse+GPF/7g79ixQ6UwEJqfN8qmTZtUUukzzzxTKXiCsNAqyt133606BUI9GzduhHe9611www03KOcEQdgdiM3TErORePTRR2vLHH744fDqV78avvvd76pOgQaVgiiK4KyzzoL//d//hb2JpucNs3sjDzzwAJxyyilw3HHHwfXXX6+mpAR72g6ngr/xjW8ojzHNm970Jti6dSt8+9vfHmn79nTOP/98dY5uueUW5dkp1POtb30LXvGKV6jnF32e4fMN7030KKbrBGEhkM7TXsh9990H27dvN5+xM4CeUPhjh4a+Bx988EjbtyeDitOpp54KxxxzDHzpS1+Sh7IHvI6e97znKZVTT0MdcsghqmMgBuNu8FGMBvU33ngj/OQnP4EnP/nJo27SogBV9L/+9a/WsnPOOQeOOOIIWLt2rUx7CkNBbJ72QvBHjLJixQr1F+MWScepvuOEitOhhx6q7JxQsdIceOCBI23bngZ6caLShDZ12IlCryd0uccfNcE/VfflL39ZqU4Y62nz5s1q+erVq1VcMcENniveQVq+fDmsWbNGOk7C0JDOkyA0BGPvoJE4vngnUwRcm9e85jWqc3nRRRepTgC6ja9fv75iRC6UYMgLBDvolOuuu045eAiCsOcg03aCIAiCIAgDIJaugiAIgiAIAyCdJ0EQBEEQhAGQzpMgCIIgCMIASOdJEARBEARhAKTzJAiCIAiCMADSeRIEQRAEQRgA6TwJgiAIgiAMgHSeBEEQBEEQBkA6T4IgCIIgCAMgnSdBEIbKkUceCf/93/896mYIgiAsGNJ5EgRhaMzMzMAf//hHeNaznjXqpgiCICwY0nkSBGFo3H333SppsmS3FwRhKSGdJ0EQFpw777wTXvjCF8JJJ50EaZrCIYccApdffvmomyUIgrAgtBamGkEQhJx77rkHXvCCF8AHPvABWLNmjeo8Pfe5z4X3vOc9cMopp8DRRx896iYKgiDMC1GeBEFYUM477zx45StfCR/5yEfgvvvugxNPPBEuuOACWLVqFfzsZz8bdfMEQRDmjXSeBEFYMDZv3gw333yz6kAlSQJ33XWXUprCMIQoimBsbGzUTRQEQZg30nkSBGHB+MUvfqGm6bDDtGHDBuVth+/vvfde2LJlC5xwwgmjbqIgCMK8kc6TIAgLRrfbVX9nZ2fh17/+NRx66KEwNTUF69atUx53z3jGM0bdREEQhHkjBuOCICwYxx9/PLRaLfjkJz8JO3fuhMMPPxyuuuoquPLKK+GWW24ZdfMEQRAWBOk8CYKwYDzxiU+Ea6+9FtauXQsPPvig6khNT0/D+vXr4Zhjjhl18wRBEBaEIMMIdoIgCAsMTtddf/31cMYZZ4y6KYIgCAuK2DwJgrDg3H///cpAXCKLC4KwFJHOkyAICw6GKFi+fDk86UlPGnVTBEEQFhyZthMEQRAEQRgAUZ4EQRAEQRAGQDpPgiAIgiAIAyCdJ0EQBEEQhAGQzpMgCIIgCMIASOdJEARBEARhAKTzJAiCIAiCMADSeRIEQRAEQRgA6TwJgiAIgiAMgHSeBEEQBEEQBkA6T4IgCIIgCAMgnSdBEARBEARozv8Ht/l7rFOvLWAAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = ax.pcolormesh(X.T + dX.T, Y.T, spectra.T, vmin=-30, vmax=30)\n", "ax.set(xlabel='$\\phi$', ylabel='$t$', title='Updated Model of Synthetic Spectra');\n", "cbar = plt.colorbar(im, ax=ax)\n", "cbar.set_label(\"$y$\")" ] }, { "cell_type": "markdown", "id": "38616be2-766b-4940-9720-180ebb693040", "metadata": {}, "source": [ "We can iterate this procedure, updating the model when fitting on this new registered grid, and refine the shift model" ] }, { "cell_type": "code", "execution_count": 202, "id": "63328efe-7289-4580-95b3-cdfb4ab28562", "metadata": {}, "outputs": [], "source": [ "spline.fit(x=X + dX, data=spectra)\n", "model = spline + (Polynomial('y', order=1) * dspline)\n", "model.fit(x=X + dX, y=Y, data=spectra)" ] }, { "cell_type": "markdown", "id": "e7942c16-1a52-4f20-afba-1d0c69b00af8", "metadata": {}, "source": [ "When we evaluate the residuals again after iterating, we see they are even smaller" ] }, { "cell_type": "code", "execution_count": 208, "id": "ef9117e8-756d-40aa-9c33-09e42648a378", "metadata": {}, "outputs": [ { "data": { "image/png": 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f+MB+Y2OjH41G/TXXXNN/67d+6ykSCD5Gv/RLv8S5hrZ/+qd/ev8Hf/AHp1z3jswjT6v/nu/5Hko4+PswXzBv3N7+9rezf9C2eM6iPzCfT2d/9Vd/1T/hCU/gM1188cX9s571rP7P//zP7/C8TZbsfLUM//fJPpwlS5bsk2sI1yA77fnPf7587/d+7ye7OeesIUT7zd/8zacNfSVLluzcsMQxSpYsGbWOEK5CGCtZsmTJLmRLHKNkyS5g+/3f/30SslGKBGU3wJlJlixZsgvZ0sEoWbIL2FDLC0RiEJxRJytZsmTJLnRLHKNkyZIlS5Ys2YHYT/3UT/EHmcCwBz/4weQuuizKuWDpYJQsWbJkyZIlOxD7nd/5HepkoTQOjheQwnjRi17E+ns4JJ0Llg5GyZIlS5YsWbJPmB09epSHIxSzPhcscYwOwFBOAvWlIGh3ECURkiVLlizZ+WnAIlCmCIKkd0XA9Y4aFN4hRnpQbc72fbdBvBQ/t2fIdEUtQYiSPuYxj5FzxdLB6AAMh6JPZmHLZMmSJUt2bhlKxdzznvf8hB2K7nPvDbn+xvZArrexsSE7Ozsrf4O6/ulU9L0WHw5CaAc++1u/9Vt3qbzRJ8vSwegAzAuU3uPHvlu+4J99WE7WU/noz91PbnxUJ7KmE7P62Ejkml1Zf9u6HH9Qq39f5DL9cCl7Vzdy79/u5cQ37sjJ41O+Pzs2kunHcikWIp/9NX8mf3Dt/aR/3xb/PX/ITPpbxtKttbJ+0Uzqv9ySvBVpPmVP2lklo49WsrhHLaONpdQ3TyRvM+kmWi373ve5QW542z3k0s/+uMx+9QrZuWcm7Ugk+9RtmR+fyOZfV7L9wEbuca+bZfv1l8vePXvJ77EnzVJrK2W3jqUbdzK+oZC8EZndbykXvb2Smx/VyKH3VXLymk7u9+sz+YdnVFJ9fCTduJf2SCPFpJHqb6aydqPIicfO5Iuu+Rv5vfc/RK5+dScP+a/vkw/tXiTv/8t7yeiWgm25z0W3yu5/v4dc+ySRS95ZyE2PrUUykSMX70iW9XLrhw/LFW/NZO/SXNa/5HrpXnmpXPf5nZQnC7nPb+7IPz67lG57xH/f+//uyT/+q4kc/ptcdq8QmdwiUu32csvn1HLZG0u54bGdSJPJ9LpClp86k+xjE2nHvYzvsSMX/cqafOwLM7nPNdfJTa+/p4xP9PL1z/kdeclr/6Vc/N5Wbn5oIYcefrMs33ixZI8/Ju1bjsjykLBv7vv5H5KP/M7VMv2Cm2X5houlnoo06yLLey+kqFrpmlyufG0lJ+5dSL0psri8ldHFe9L//aZkjcjWP7tZdv74YqkP99JfOpfs+olkXSbZUqS+qJWtvy1k5969XPWQj8uNb7mH3PP3T8p9XvKP8jff/yC56j99QP7sdx7EPtu7/1KqG0aSL0SW951L32dy8UXbcuLPLqaSWX2PhWz92Vhml4lUDzwpu7dOZfLRSkYPPy6Lvzgs42Mi84tF6nsu5MkP/gv5i+/+NHnoD71PblhsyrU/do187Asy6Ue9fO1nvkP+9N98ikjfyXU/NJH6T47I3tW1HP7zSuYXiSwubnk/tHt2sUhz77lM1pey+ZoNWTzlhJz46JY84Mc+Jh/4pqvk0Y/5a7lqekze/vxHys0PrmT8ObfK3ruPytojbpVbr9+UYreUjfscl5MfOSQb99yW5V8ckuU9a8nHjTzx/jq3podnUi8LKf52XRb3Wsra341kdkUn45tzqbd6adc6kUkn42srWVzaSr7M5ao31PLxpy/lBx/62/Ldb3iqbP5DLicfoH39jGf9X/m5V/1zmT98T/rrp9IXvVx6/5vl+LsuleKhJ+VfXv0++V9v/Sw59LeZHPvMpTzjEW+TX3zdF/B97dFajv7xSG79rIXkt47k3v9nIdc+s5VnPfjt8oZv/Wy5+aFrcvGTr5WPv/kqKeYi3/XMV8tLv+8p0o0yOfapmRx92I0ye/2lsneFSHNJLZt/WcnGF94gN/zdJVIdy7n21/94TU5++kKqj42lL0RGx0VGOyIn7t/J5j/mnJdZJzJ99C1cy9s7E5EPrEv5qSdl87WbcuxTMv5+zx8V+ejjt+RffcUfyh8975HyoX+dydF3jmT7PiLNWidb/5DLf372L8lPPvdfS7nbyL/5qd+T73/rk2Xzb0vuHZ/9kL+Tv7r1cpn84iFZHsrle//jK+U//fzTpX74rrTXr0l5MpN2vZfsyj3Jil7qm6ZSHSuk2ezk8H2Py85sJGtv25DtR85k7b1Tucc//7D8/V/cS/q81z2xFtm7opesF8nutSfNDVMpd3OpNzvJO5Fuo5XyllKk17XSXj0TuWUixV4m5a7I/NJOyr1cx2XSy+H7HJfpqw7JDV+2lOIDU6l2RXYftJDRR8ayvNdS1v9qJOVcZH5EZO0zbpUT/3BEx/ihrWRLRVH6XKQ6mUvWitSHO5HDS7n8dyu55cGFyIO2pXzPpswfPJPsuolc9LY9effr/+tKYeuDNiBFOBR9+N1Xy9bmmaFSJ7c7ufcjPsSDHErHuN0eWoT6ge9973tZYuk3fuM3WMLpLW95yzlzOEoHowMwhxiLzZHUkw3py5EU44nk2HjHeiDJtkrpRr3k/HsrMm2kR0HJcSnFqJVi0kuxVks2Q0HIXvJJJdlGLmUrspyuSz9al2I6ESKvVSb5FK83kk87KUcTvcekl1xKKceV1JNCZFxKvjaSrMkkL3p+eZXrYylGE8nXJ5JPJpJPM+nHIvlaLcXeVMpRKcWhhbS433gi2VovgrZVmXR1IdlaKTmuUxWcPflaJtl0LMXmQvLpWMpRJ/3Ris9eFWNZbHWSjUvJJo32yVQkm/Yy2Swkn0743M1kQ+pmXYrRVIpJLutHd2Wv2pJsbSr5tJd8Wkiej0Smrcwkl821ueRrE8nWM5GtXGSyJlUxkfLIUorZRMqqkWKjEGnGkjU535dtlJJPCilHwjbgCzqf4lt6JDnGqBQpi0IaPO/ahM+YT1vJ1tfYhnayLtn6hBttt4a2TiTb6CRfy2VRbkqBz6yNRSZ4JpF8KdJPp9rPa2Mpqom0a6KvjXLJxq2Myk7KaiLZJuaBSF51Uq230uJvpUg3WZNscyKo99mt43V0HnYkXAP9m0s+6WXrUC7HMoxny34pxlMR9B36qBM+d7ZW8ZpZWUg+amWB5x1P+MWQjwopRpW2YbrgOKC/mmpdCswRtBt74KFObi0v4uv1ZF36TPudc2iCvphIOdaCpm015vji3vmaX7uVrM1ENnMpxyL9Ri9didemMt3clW18fv0Q1wjmaT3eENlck3ytkEW+qf2POYMGbYks800pq6l0o5ZroNnIJS9L2RkfkrxYk2Ktk7Ys+QzV0U6qbCLLqhfZwvrpRVA9Y2upzzhtpehzbes0l5OTo1wfmI/5uJVsrZDldJPjXqy30o8nPHxgjPD50cZMbq0ulmxtLNlaLtmokN3xUT5LN+0kG2H+VVJu9pKfwNwpRUaN4LuxLMZ8NvZfOZH+kMhkA+3APMj4b5lMh/WDPp1ijWGeYo1kUm5gD8H7C+mPlPyCrrYzydaw92j784mwzejL8agRnNQxP8ebM52HG9gLGpFDJecrrz/R+V+MR9If6QXuUTHKZL52SPLJVPKulTWs5fGUe0JedHL50Vree2JD1jEPN3I5PrmEc6GvsK9NJG8y6TY66Yqce1++MZJiXkq71cqy2BCpKu1nrK/pRATraDqWrsD6ySWr0Abde/tJL2U55XzAXljMc+6t2KeKeSayJtKv9yJ7Y8myXIoGn+0lw0LKe8nWOulGeEasl1z32F6kwHrD79NMitGY+0MxFenHUz4D9hSst6zI+FzFMtO2tULHsZ/mUo5Gkq9jf2r0MxPcG/2qtN6zQbvY2Mz4cybWcdPReoPxwej2bDQayTXXXBPqGf7Jn/wJCxT/9E//tJwLlg5GyZIlS5Ys2Xlobd9J25/5NQ6Ch4sC1ueKpYPRAVo5amWnHkvXZ0Bx6ZFwTvWZdCORro4gzSz6L7yMMpM866WvM8kKfkQ6ePidyF4zlrbOFS3KRHr83it8i7AI3gNPUPA3loC0e8I7x/uLnp56j//Z+9nGwj6HtwGXbjPC0+WkkUVjU4PPYNfB69Zu3hN/BhJVKNrBf9eZLDcLviGvhSgV790NkDOsyju2Fc89ayuZNZW1W2RttJS95UgmFT7TS1cAEs+kn4os9yqR9Tnb01WZNFORusul7HqpJo30FlIvCt0Q0LZ2nAtcXd7b2t0CZMtEmikuhOZmDH+hA9gneCvHTdvQtIX0pXncnba1HWsfLpclwDn2Hccdl0FoswNcj40l52tegKdvcpFRK1XVcMBaoDFwYBFpynvpMGcykbopGOZkP8K7tXGGh0okCNFF9FdZM7zQl5nUfc7/LruS86cAcsW50vPvCN8CvVssSinQ/5UwjMj24d9dznkAdLNfllLYPOSYVa1cv7cpfYExG8myKyTjros520vdo48AxeXSNAU/y360/uR0qjPte3wq7zVEm4mMyoYP0wFxQTskk91mLM0aridSL0vJgaJhnBa5tFsN5wKeu20VWeXY9ZmcXALZy/g7fzIAeTXHFz8I73LOY9yrYdPHmLWccyLX1Ye1TzjXM479TjMJf+NcRQS21UEti05umm/o81ZCpPKW5Zo+S4nx0jVUlB3XSDvJpWtzqXBTXA7zpFPEoVnDlpBLn2ecsxiLZYuB12eULgt9yjmRa1/y33XOsHk+z/VZ8bFRJx0QXqzhUmS5qGRUNdwfMG6Yc2xD2UtbI6xb8jaLvuIaw425H01byXf1xsfbNc4n/LRcULi4ju+Rck/qWu+Hfe+jy6McQ4SOw76Fn2UuHdebXr+vOq4l7HV8FryGNYo56XuRb6E2DtiTiEAZVQDouO+reP5mguuwy3gf/MPXE/feTGTZFPacdk00Ha/bfgvDGsW9MUbi68bmRld2IrPc9nxMgGHe8X24Of6OW2Lvje71ibYO+6d31hlc487Y8573PGoW3ete9yLJ/Fd+5VfkzW9+s7z+9a+Xc8XSwShZsmTJkiVLdiB24403ytOe9jS57rrr5NChQ/LQhz6Uh6Iv/MIvlHPF0sHoAK0ogRiNpAQD0LwReorwKuCZwrt0h4bekHmu8NDhzdDjgeehUd0+IEaVdE0RPC14hbhmRtQl07g20AyHK3BZeGbw4mBwuueZdFP1xOllwqMxj9S9MPI/QL0YNbKsS0EYn5eElw5PF8iPe6YtPDz1rPD5slJiLTzG5Zb+HTwbGbci84KIEdtknlMOd5vPmMke0IcGvAh9z6HRXG4+uSEV0Rr9TL7MpMUHZ6U+J9CFUpEfeu29yHSylBmRA/SNeTnw8iZKtKQn2NnfzONrgNbQnVQPE+PiY4E2A7HBa/DY2ceFyF43YjvbkfZHMy+lAjoTzQXcp+4K5aFgjOBlupffKII2Ac8DtzdUCF53kXfSom/xbG1OdKOc6304bmUvHRAjesroUJFJUSunqcyl6QoibGivI190+DBlSoyJ9g3aXOLj+D942Y4Yoa3wwCtFOIH6oC14bTyq5dhsjbSueVspYmSIKLz5DihHUUhfFfT6C5tXjjjhfRzHsfYPkAq8D+M7BvkD710DGpexHdtAjCbab+2iEKkUESoWtp7mhSJQTS74J/gt6NftJbhlvhaMHzGdy2J5iH9vNjp9vc2IgoUxa9A2ff+Ny02dF9Z/6I8dQnuKQACF4xg32slF1skt8zVFePC8rTAJg/0DXhPXjrZRGkcqs4AYsb9tbeI2QN/w3ER8xh0RS1yGU98RYluHGFsivkSMMuk3wR/ScezBMQKaizYZ+oe+7NZy7g+4TgWossf6yKRvMqnBiwFi1AJ1xMMa4gFOzbbe+ESzxnnWASG0+Y4mYB4fLXekXer8w/r5+OKQPgeQUkNkMO+yha5LoFbcB6uenxN7H5EsrFWgoLafOurFfsXvhvQ2mMeGEvmwc00Zn0eRc+s/9Mt42B+augj7AVEeIkbDvsjxAWKEKWMIIdeyrRn0bwZEz+5jQ2ptxeTROU7UnPuGnDXr+L8zv8adsZe//OVyrls6GCVLlixZsmTnobUI1Z+hhnN7AWpAf+LUpS5AG49amdUj5ZbAOYDHQ8RIuTbwzB3UCd6PoUrw1vhneHqG9DjCMW9Lco/owRiPh55K0auHb15j8GCcZ2S8BpBJ6CEDDaFLZBwjeDFspzWJXBuR9fFSPSN7jWiPcZAIiygJRNsOxAgJamWrHnEtUm8oKkEEBq48HY59HCP3lIEYNZUsGvBVtN1bozk5JYzPGxcKSAM9wj1vrHGM1sDJySXretmcLIz7pMgLOVdAJcbKpSDa5hwjoBZZLy2yfIxjhBR5ogGOdBAx0nYDGXBOFhAu9/z4N3AlAHRYn3pf1kCZ8LqPib+GedBnMq1q7crR4O3CS4YDDyNihEwecIkyRYzYh/C228E7Xi8XUiyBJOXkFmEucc4EPoaNNbIIF5l64kBg0BdAn4xjREQP/UAeBPhu5h2b+zStGtnenRBpxJg11u98prwn1wtoUT8qFOEk7Kn8HDc8S4uMMDH0ZKlrZQLEiNwvwHLglRSy14ykmej4gxuFtmLeQrKiGLeSz1QyAtwVjqFx7naXI86XgKBmIkcne5LXOif7qL/BtYl5YZhT+NxN802dP7Y+0QcnAV85AGGIEZAcWJH3cmJvqsgZkNQWXCfADJjsugZwLXCR0AcN+GlArDDpHDFy/t8E/Djlp6Gvs1EbkAouI+4X1qH4HevOECM8N7Lo+Df0DZDMChwjQ0MAO80LaYle6HXQJt1veunbXOo13V8W5KnZus1EKmR72Rw82UKuQDlGQAqJjBvH6Gi5Kx0QI+MY3bTYVFTLUDzeh+glyGPKIWPbsYfgb/ixOYXnwDrSN+i/yb20PY7zFesFz+UIGqEr3M/WsnGVlGOk/cJ/Gw8U88ef05ElovGGxCk6bHuOoYgDxwiZnoqmez8piqr35jqysad8wFnmGCW7a5YORgdoCAfM6pKbmh98SOxFiGgEVuXqgiCR2aBXXywO8TvsDXIriMkIn3nYi+EQrHEyGQcCZvgigGHT88WKL9vaFUz1syARcnO1jYMHH/tSXB8tAwFS2ZJGusb1PJRmUDZIztRMqXQzpo7HxhBKAyGdm4Z/qVs7fSMHHD9vSobufEM5Mtoj3O9EWFwfJGJYuTdsQIC/8SWCUBo+ixCcw9j4ovLNiYeb+GCEv5kEhxOB0T4PpZGVbDdx2BsHI4wHuJf4wtANzsIY+NL2UGZETke7GEozwub+kOVahfiXkoH5UYTHMBb2DCDnyghk3WGs2ax9obSNcsn+webe4AvVvkz8QKKHMiW54mCEa2Vz7TMQXn1TD+R9/Bt/xxeUf1EgVFktpQb53Q5euAcORj4XnXyNAxpCMt4XPFjpuZxzAs/L3/GsOBgho7nUA0q7VgTyNQ5fTkxHHzO0RPK1EsGLmRJp2V4ejPQwDOI+Cbac79qGiye77CP27aQNIewJCPC+HhHG4gFX5Ob5WpjjPNSUmgTB9eZhq1bDeJyXRSt7s9EQ6mkz2V7YQcqTH6B1U7Z6OMRhHfe3hekHa+4FI4QlEV7XgwsOgTwY+RyKQ2n8XQnUDB8tMxlPav1bjQMI1iCkQYbQDuYA5iRDaXlPJ4KH4lIPwzXkLTo7GGGOW8h/bboIocmT9UTXQzigDaG0S4qTNnd0/dw0W9d2257C+YT2wdnBoRyHECxRzDkkB8Dxw5S1+5LwzIcdDi5+P4Znazt8Mkzmg6l7nh9u/FCl68z3PUtKAH3BD+92D/anE7QZStPPh3Gw8DIPg2Wnzow5VbqehsSX/hTytZx18vWZ/lxolkJpyZIlS5Ys2XloONSQm3mG17jQLCFGB2hIOV4sK/XWLczkKEwBzz/yot3rdA/GPS96Pwa9MmQCzw1oCrwo83oAV2OuEq0xL9NJzfpBu4chAfDOFGK2v5N8HaXNBiRDr7E5WmgohA1Sj9xDOYF8bd404e7MPP7CQmnr+nzw0EHkds/On5dt58XUe5ojLMNQmqJZSPdF6MQ9K153odcsZ9bZgMdxrJ+2lubcy9HxXvDc0DdOCgZiRK/UPE0SkY18iVCch0XgYXvokfeNvDt4ivSoC2GquqbrGxoH1MM95xAeNfI17uXP7l4+xrjPZGukuh4MbxAt1H4ZEKOMAqFISSe6YqgbyZ5Ruv40X0qxQAgnY3gLnrwSv3VsGG6x+YQxwbWIHPUWBoCXHUJpmjKuSJV9ztq9AYRrR0N0IObWnq5viBHDswitQMASCKehRMEbd8QIqdX4HcgVQ8QZCeQcD5CfjQQOpBShTh1/RbFIvp4rEbyYWbjEQmkMEfYZU74ZLonWwmXjkww3MlwJ9NaQuUmliuqc6gg9Wej0pKE9zJA3hAaJFXw1CosQlYXERdZJOyujUBqQq4rPTyTEwtqjwhEjXVejEFK2UJohWsseIVFdm1hDQA+5jkLofVizK6G0RmRjglijPiuuOyrbYS0hNDvP9blIvu6VfA3DflOrBAYuB/QxDqV5qBp2op7yNYTTKEeBLrU5eVGxq6FMS1c/MZvoUoxCaVJ0DIkyjGshLoTjsZY85OYoGNP1Hd3JBwTT6QIMgSNlHp+xR9H7Rd9wuGQ59JGjYAy/gnQfka/jdH3fpz3c7Sh8HEpj4onzkx2RcukO7BlGvvY9MCQjJLvbWhqiZMmSJUuW7Dy0T4aO0flgCTE6QJuWNZEFxsRDur56hojzE8ExxIQWpeu7Bwg0SL1LE05ESTWksoOwazwBokrmcXvaMJEc4w8Fb4r30/i6E3UD+VqiVH0KPBoXCmV+RjPliFgbKVJpaa7wsMJzGQ8A7ZqUdSBfIx2aJOK6l8moVsTCParTkK+RWg5Ok3taF1c7gbcDw3WdY1TsmRdnHKxi0oY02IvHO4aMGfmaH+hJAHUhSucY0QMkx2hA9Zxj1Efp+vgs30eCpgs8GscIwBGeGZwN8/hXyNdG2CZh09P1KQug/94oF4qooCSJ9Sm4Uc6ToHhdpQiDoiF27UJRJUVrMlkrjHxNYUegVBnn4JAmb+NMfomheSiXgGeuuuDJE6l0Thx4E8b18HZvVAvWpML157Uio94mIHQNOEZFboiR8Sr2ecgAhlAOhSgL0BMj1U/5Qi/NVNEf9CWQUiArLAWxABoFiVKdC2ujmughUTPMS/SH9VGzQBr/QM7FlL90dJLzEX07GiufiXw6oGArAo+KNO3MVGgyyGmQY2QipNanXEfGMeJ82zNJDcyzJpP5UmEF1MVzZAcIFeYZuWvgGKHGjIsrksyuiFYswIryHV0kXLjCVzMR09zmOxC5rclcOUaNrc2qVhKwiSgCceOaIWdQUayAGAE90apEsmS6vneOyJHxLCAhQM84t0m+tj0Ly5Ico1priGGKjXvZm2nttoH/Y7ycpe135PL0JMKTPF47UV15iySKk4w9SA6EeU2uHRB5fYaVe7gwqovtuiyAka99b6RESvScmG/c1yKBR6xR9p8L1XJNKDwM8rondRCJNK4kbqzp+vZW5xiVZz8r7Ux/LjRLB6NkyZIlS5YsWTKzdDA6QBsXLbkAkMhHyji9B/MSEOen1xin6zv6Qo6RZ6VF4mXkBvVEHsiZ8EQxZNfEHCPzbFe82T7iGEVZafRKLTtNEaP+lHT9w9Us8KE0k8s4RnDKXIjSKTz2eXjeniLcb7S8J1AMpqQTCcr2ZaWphwvvCRlp4DQ5CnVxeZKIhntWmomnv6PKNe9vnuNkulT+Rdcr0mSeOUqOuKAky2qgr6KsNKI0MBT0ZUMyKYAoGCdrReBRDBkw1AnihsycAiBQKG+HaIaPg40peUlM13cSi3EcjGN0uNoDNBLKUuAzQB6cJwFBUGT14dmZOeQonXOMGvVO1/Kl5AsUwxyEHZE6P2TX2b2dY4SxWQz8CKItUbo+7g8PnKiPc93APSsXAvoX+o8oH3k2Q7o+5z1KRFQmLmhz0tEKn7ujqcoUAB1j36Hup01QpOc7xwhIaYPUfm9vqQKO+B0ZfUA+iIQaN41ePhCiWhEjLwmCZ7iyOi7FAuiYyGRch7WGciq+Hl0olTylmeW3+1wve0px6NyzdU1U1rLS8k6KWa4SGuDxQGNxrsgikA9f+8hcRdsgGIjXBuTUEIUWxX1blgSh1EOhWaJIo9eba3mROCuN/eNzaylyeDzXrK/aECdIEoDHhvmPOTA3FJPyGz35UTQgHxDAnBpiBLHQiGMEDp+/dbceaZYgBCONY6Tp+iJH85EifCYPgEzGwI00jhHaxzGtM93H0Ddly7/5+/hM4BgZZzNklhn3MnADG/CTFHVV/pBx/+z3ML5Rur5zAZVMNZRY8fapuKShTdzccSPlC+naH9YW+td5gb7HeJ+hv0NWmkm3nE3EqDugnwvNEscoWbJkyZIlOw+tPYCstDZxjJKdiUGkDlyAmGNE/kqbyXRUD1lpYZ5F2jrGUaE340Vb4VlBDweIEbJ3TIuH6Amyc6jbEmelDVk4rpkRstJMvDDotZgwnKNWQT+nB2K0p5oj5qXRI/cst2yfjpEJocHz9qy0cn2pyV2Lnhlu7t2tZKVZQ+GRkotDbpW+76JyRxEjy/xQjoner9obFPbwOjJlWAyzE7msOrHKMTKkBO/LnWPk/AxwBtDfE0Bc5nkuTc/Jy4mgNIVrjrBsi3rg8KTp+Y0GNEMRo4hjBPShG3gxzgWhl6sVGOQI+lkGfgSQmoDMGccIujdAspjB5XweeMf0zpVTs54vpKg79iW5RaiqAHFI46SFIpZlR4QGfQPUgDwfQzJ9zrhgHjxw53p4gWIISVY7im5izKgf1Rp6ArTHypEgO45cDxd4pBaOoZzLAbEByuJaM1OKDJnwpiFGRBKhH2NZieCloI/Lec8MOcwF8q88I8p5WAstoBoKKmci9yiPKceoVQSGc74VWSuWA5qFLC7TMeqQYRaywHR8obflzxrWgPHFgLpQYwvzzUpW9ChvgRI7ROV0TWOPAJKqZVEyqVA7xDSEgLzkbS/T8VI6E3jEVrIxWijnzzOdTLsozkj17ClQtS4a7SqSWaMtPdFc/FcRDOMYheLTvZYwosCi8sraqZYkIl8t4t4gs8/3lz1yjCJhWkOb0YfTbKx7FJoMpGUPAzig1mybz0UMhSFDyOolGm48IWauehmOqON9PurmoHMN/CRfd95e6jh5gVzLNvUs4CDqaYKqPu4+37mvOaJka5T/9qw0E5lEE8dod3TfgJATpcJGoXtH9knQMQIN8SB+LjRLB6NkyZIlS5YsWTKzdDA6QBvnNbkARApM44dODzzTaqle7D7Va/7ereoYBcVdZBEhgwU6Le6BA6WxjBuX8vfCqOohe0FQ5XnQc0IZAkchXEo/cIw8c8Pa2vWU9Pf3s534O7RvLPMnyN5T8Vf1gTaqeYjfb6wvmCUDjxWqzF6kVXkCvKpyK6xcBDxC6N44YnVJsUMUJnCMULZgoT1X7fYoVRoUhg9NZkRWgFxcVp4I7fKsNOrrjMwDjIrIItsLBo6Sozjk7OA5rV/p6VkRWSJopmMEfo2W8jA+wmIYvxgxar2MSKxjZMVq8d9DEOKxor3uyQJ58AxCjB+y+jAn+DxWsBUoknrnXcQxaiP9okxLVTgfzCArIAJA8agHNTfum3GMwjwyFIIZQphnXkoB7S1nUu3qcxCRoqK3DizGm5mOVU7dKCKcISvNZj35QT1LzhA1BGJkyAKQG8w1VySHhk6DTMCpjlu5sNIWnSJGW9VcypmVnUFWGjP6VC8IvBXnGHGOZSJXlduSL1u+f2usRDWsKaBguq5Mp4tlaERy8IX6VZ2xxVInJNEZy0pzNXtkdmE4VV/LMgsXqpKM10JWmnGMwF2jjpINNosDG4qDjDuqiBtCuVUtmDmlNx94cj5mGJ8ilAQRuWS0rWseWWml8ajA8wLtrGo59ooMakbYyBa7IkbCPidSHWc2Wmaf8xlny0oRLRSKZUkQPDpQKlt/GGJ0zUi5V0S1PNsSKBUzEk27y9Yqsno1U83RaN1ryIeyMdKsvyjzy1AqoDa+7py/ybZEytdEbwLHaODGkQ8XK1+7kjj2CUOcKhR8dh0jL75sl0FGrt83IFI2d1h823hgQSssrjb9CbbEMbprlg5GB2gIB2DheCjNN1DC99UyfGl7bIWp4b6Q7DuGmwcPRppeioMKqpwr+dpl/3WBAQJfTdcfhPr8yx6GMJLD2KGCt4uOedgogsNRHTuQZ7FxuMAjDg/7yNeAu3GdDTw7Q2m9XLK+wy85EIJxYOK+Gws8YjOLyNdM1WeNODsYITQEgmgk8IgvVFi559/i+ncQQlWmoJfLy5MBJqdQooXS8CWEw0QopwBy9lhPqVsoc+CZuwylWeiRYaUhrZ917hDKAfGYMTW0r2MKMcN8tlEGgnzbM8QXj4v/7l8Q7GdWrddN18nXAepHCLaq+exOJoeR7ImxqrsQSsOXPkjPFBfNhzCezzf8DURrDaUpARfXmMRhABfMo/ChH4xsHtpBDgdTEtqb3Eqx6DPhmhpK03ELXz5WKyyEUJe9HJ7MjHytByOGYo1dryEmDaW1dcHUfpatwMEIh3AejDrZrOYWStN5GUJpII97yjfJrvqlekUxkWJhB6NqEdbdFk+ILkcxlOagnEGczFD2DGlzrkRJFV5njqE0CE5ijZpD46V7kC7vh5k1lm/ppZtou0cIpXFim/RGq6Ezrg07GNHpMIK8OyVDrTQ76FubML48wGDMahwqe97TS2YghIWDpe9LWB+lTQCGT9Huqa4Nr/Xn6xaOh/cJpBS8fX6gi+c2nAUeQkatlLtWz82cO7SNIeKF7ktOssYBjskBtlfh8MQ5YXUbPeQWyNcmLYH3Y03wvislQYawOENmUSgtOKW4dD0kevjhi4c1cxjxXAz/Rg6hOwt8rRzI1zyI2T4WhGadtmBSKTx8nyXDft+e4U8XgscXjqWDUbJkyZIlS5YsmVk6GB2gAZKGBzlAvwMKA7JoTEiFuQdEhMBDaQAPnPTJKupgv+XqRRmZloRFCx0Ez89KBayQr4FYGEHaPSkvk8CQmhVVDOiWI0aFIkYhxMDCmXofFuqEBfK1pgFvlbMg8Hj5dFsJvouOqf8aAookCuCRG0BLhKHB85lIX49030oJzVF4Cl4uQ0C7TSCRI2X20vG2wttdT6RJS4JkKloHT9bI1x7yc8/dPcwjUyBOhtbUHT1venlExRBKs9+BDFgoDeUw2IdAkyztGGiSvtH+g9tbyQWvyM1wQgilZXIYapV9H8jAROQYsrSwSKvhBYQkQygNiBE8VJLFFUVayxaSzxuGAxD+QBspyxDQPWU+g2hdeD/ivx4G8NCdCTwypR1ChEa+5rwjYrQno22gZplWJDfVOkVrOhMl9HT9gWjPyudGvsZ9ISAKQykKhDsUMUJIq9eivka+RqkPpPbTgwdqVipRuZi3RHqAHlIX0ojJLIvBftECu0zdN5RlnFWSLRu26xDmpIWGN4pFKC5KEq4VByViZOOp67OXxsjUcRKDl68A6gIpAyJGLPKrwp8k5xZWld5I5kSMMK86CDwOiBFCk2gDSsXAU2dh4tzkM7zQrxV7dhHSEEqzdYlrX1Jucw6TfFz0slnOVeoAYbOyZQiSoTS0P0rX9wK346lW4GVY1goA4+dyD1UjhX5poT6IiSKUZqgd5qq2w0QaRxZitL1BX+y5PhHFVPFSRRQVTRtCaWyXh6+8/BD2jwit0fXUc514mRdPalHytd3TKAVxuj7XGEOOq4Ruhsc5CXrdoxENqOqBfO1z2vofSNdA+o6SJ0JpoqjwLdP1zx6bGYDuQfxcaJbS9ZMlS5YsWbLz0DwcdqbXuNAsIUYHaGMypVVUbqWIbCvkRARCM71OSz9d4RgN6fr6eSPuAU1hQUSNkcMrhBdSWQx+hWME84x2QwIoWW+cD+cDnEq+HtKeLyp2BrTAvCQiGeAfUCTNUA1DmsgxKrUMATzGe0yPK4l50ZKwG0qUODccbc/aocBoG3GMUKw0n5zKMZqrV1vu1lYwU9OiLx1tWymTXi4rJsGjpbfpxU1HmpLcRYgRODR446WTHe2r1hCYCDHiOAAVMvQN5E18FtwLOrPw+oG+gNDsopCO/OFZwI2IiZbOMQrImHKMQMx3xALtDAhgk9EbRbvIPbJ+xPuJjNRKwgbHCGgI+sPT9MmvMQ+Znip4VUCMcK2sl2pP+ycIcNq84XMaUuVFOJ1jdLjYleqkFgsmYmTp+o6ieNFRkNLd6+drILrb7+CdXYx0ciMlO8dok/oBSmgPHLg6V24HUI25loygwONewwSBcgdtNAI20Aq648o58ZIgzjHiGC8bvp9yFDbmuG9I3Y45RrNVTg8RFxDwrQxOkHgwIj3QYnCeyFlxrg4K34LHBcTI1jhKn3D9TnRtV0GDQRE39OdWNQvp+vjhGopKgmCeeHFiR31Cuv4SXLvjihg16BSszaVKQtgcwNhrqr8iqkC08JzoX5T0WJ9qqRpKP0R8mMvL7ZBE0dVFxDFy8rVJSFCqw/bEUUPuVRBcNJQGyBVQwCLiGK2jneAdGdroKBjFVYHE2P7H0iUuAYLxBsJZOMdokPMgemXX5p4VEKNo7yWHMtprjHxN4rcplnBPAu/LysPoRjTAKEwciPa3OF2fKKcjfM4HPYsco2R3zRJilCxZsmTJkp2HlhCju2YJMTpoxCgTqZflUGQwymSIuUREbJi1pJ4LPBZmsw0OjxYxNUl+z/qgsFucHWHoUjAr47HfkLWF15a1cgOQYRMyW6KMOKIzEknuG8eI5lwhPpq2HanrsJ1mEgpFgj9ELhP4ByGveMiOgpd2c7NJJEwL4yrfQy9sb+9MnM3LALiHV7daVNJKJDC7DdcpczAd7BkskwL9as8J7o1nqJB/QJc4GzJqiPZoRiH7hkiZlREw4UqUAwCvyZ+Z7fSikUWvJUA8RR3etAliwuP1v4fClE0mx7s1ji/bYuPmJT2ck0AejxWF9XnBNhNt0+vWJKMogoZsIbGsscHf1fZZlZqAeMDIj4iE7XwMPMspzC10A/kTnTRj7VtkE/pr4AtRxqAbRBrjsjSaleP3V+SNxZENwZszlc0QTEMiyZGjpINxrsAdMR5TGK9quL5nz4T5uk+UtC9L6y8MqHbPHiEqQ/MMHQuefVy2B4iRFXsOaK8uBJtPXchEZOFiPE6c/eTFi3FR45DhWrtsC9BInT++j2yDbOW8PF/XgaOnf0IJlviBmQzbCkUjeR+zMkOhZeUBaRZpVH4oM84cRFGZyaV7E4rpUgTWuDe43LxXgUvysKwMC4vrdiNFkWydhP0mWh8BUWHh60yWDcqNWMke4zv5vhLmRFOFEi3e155pyvkaFdLV4tgYi0EHhQhxZmshKknk5Zf4b0Oc2C60w/qcewzQcJvfzAAOc0OFPH3ur2Rt2Ri5kGzYH/xlzquzyTHKDuTnQrN0MEqWLFmyZMmSJTNLB6ODFniEtP/CvH7j/sBLoFfmBQQNDYIYJD0YvFSZkJmbxc/b8SCUR48I7wWK5Jk7hkoFc8/fERZyBYYipkBDyEWxrBIXH2NGzNJ0hXiRSGjSkAvnJrF55l3PlxX/ftNyU/Vb2l4WfcWSEe24kEWnXjo1QVx/pejlY4vDki+VR8EsE79XL7LoFcVwcUHyGEbKh4ARhbISInVXSl7nvFeD/JgWCJMWU+VF5ooUzRbV4HjCo8c/mkwLwlrWC64Brx3FP+ntOdoBzsgSxUkhYKhFfXU8BoQO/AX2qSOA5SCwCdTKV5qL4uHZP7y8WLpRrplkhpZgnkAg0TNX5vi36RO5IVuI/TAuOG9OdpPAz6kXpXrv8JIdqSTXSjWvHI3x+bGB1CDzbuMMJM6taA7hPUQoMpSM0OftkKVl1wePDW0FR6ZZc26O8lgC587uQ/HCXGR3OSKygDl3ol0bBLiQhQh+SStEFlBk11EO1Y8qiDC1k1Lq9aFEgxdUDqiczV23blpxHm03E53zucixZl2fAXpX1bB2Av/OCqWycK+VhXH9sZB1ByqZo1LIsCw7za4z5APcK0eLsR7YRgqE9nJrq6gh72/7QZV1cryeBj0cFe3UdeBClKx9GgrLGicrIkYAJfH5DgQXpYqYWYn3jvQF15rCGggCs63o2p0oEhL0dzKR65stzaqCsKllV2L+Ad3SfUyzAXV/2IcyGLLNEjldJnvLEfc25cUVfNaQBceMU5Ht+VgLEDMTLAulf3xsAwqbDWV6+HkTKu0qhW50LeDz2ifkE9laoIaaZ5ERsdd2A83Ue0ZfkVHGaRCI7EX2mlFAlri32B4PZIpzEhpojjx6+8+SnamGUXsAobhz0RLHKFmyZMmSJTsPDVIK+Dmza1x4lhCjAzR4euSkzC1jw4p3wktYwlOMFWvhXdTwEA0RcY6RDIU/4X3Su/N4tuniwCsK6I0XLvVDfcTJCXwXeJOI3QMxcv0R3tuaYnF+ZIiwqCu4BK5k61wTQw0CqmUedV2rtsux5VooiLvXVprRMspl1qLY5MAxYVZI2ckN8y2iMERPkDUX8Vl2ei0ZEbRL6LWj7IQ2hJyEpWbCAH0A0gXvs+4H1Wh6n/j8Qr1EttNRBDxvQIyAcpj3CA8W/b7Qchqu/wP9ItLHamRdGWJk+ipBvRyeIvhbNlYYT88kAtJEjzxCZpCx9NHlUUWHDE4hYlQDMdL3ZK4+XBoCZvOG5T4wFkCMyl62u6kiOSORDm33uRLpWuWmk4P35RHiwZIY1tfMyHKNKEcio1IG3GDRbRPjXi2H7QMZkuhzIAbN1KaxlcPRlDvn1WRUyMaYzmvcUJ/1RDMNiCB1q5idl0kD9WtTHPfF0Y5zIi/dOA/3Iuoao5nO7zAtL75nUhAV2m2UV4Q2AJlRlEo9fdcHcrSS6xgoDjLrcC2l4wxzyTlr1tFYV5jP4Fk5x4j8Nlv7aLfCRaqRdUu7Ln2RK2JELlpGTaQTQIwM7XKEzX9cw4fzwLcTK3isXKtcURKgNk6FASKMTDloRY113rL8EBEjRUiZeVrbHATFiXwuQ74zkZuaLT4Hy7ZYdiX6Z7cZhz3MNbhWeI7OL8S1oP/TZVyP4KrhM1RQh/4bniFCjGbzkWZweUkh6pUN6tTxvgekFeuVqJ9xhbAeOI7oV6B9lqHoiJGiSYpWBXTR9iEUMGY70DbvY8vOVD23gWOE/hv2X0Ot7Hf+Jy5BwozCs8cx4rw4w58+cYySJUuWLFmyZMkuXEsHowM0FkaFfsjcNEgczSFipBk77k3QqwGi4DwGcIyM6+I1pvA6EAX3TkJmS2nemtfeidRdHYHyf9MDsn9CgwgeEr0y8HuI8BhaAQ0lIkYiy950ejwrhgrCxjGKVJxxH3Ba8PdbF1OtYdT2MgNnAR7aKJNZh2KTqvPj7Ue9pptm60Hd2l9zPst2ZwiScZPouUf9QE4C+q7L6IEDfWlHudTwlemRDZwcvEaex0K9Os++ch0XIkZ2b1wDhV8xfuREuUIuNFggTl1DmKQfMsQcPTOFW6JwuLZ5pY5WoABoyFK08cP1rpsfovcOzpT3J5Ahev6GXMATJppoXAeiSHZ/IHK9czwy9b6BVrLNyBjz9iGjrBwylZRjpHMNCtKcJtYu92zJe/KEIPPYqa1jHCM8L1A7Jy4h22mJLLOml3bNNK5cGdrH0taDc1eATHhm08lmGurwUTEZ6CtQlTpn4dMwx8nNATqoiAP4TPyzATEBlYuywdyaic79nXqs6wRI1XIaNMfYf5E2l69NvI8aP5jTGDtD3Hw8PCuN/64zzu92ory5WG+ImVbgtHkxUXKMNoiisWiprX/sIyeXk6B3pVl01qYoS9TnhGdRhXpfpv3D7D3LMOzBL7KYCFAVIreWQUbEyLhTlGKrwQ80nlnEMbrBOUamw8NsLvQnUGFDSjLTMQrcNN+K7PmB/hExWpR6j9KKZLeug2Xtr0TqGea+Ioc+GWMNOOdcMRPYUFTlGNl89YxF8Ih878oGDhBf835xBNgQKe9boGVhAyUX0toQI0bgI/nzGvJIfpLvM7bPu2bd2fzWTRyju2bpYHSAVmYNv+TzuW1SFkJgKM0qsofwlR2MPMxEkqF94fmXEQ9GgK1DJW18Y+jCi0Npp5CvbQNVcqiFVEgw7aTHgQifd+IzF7lugixVUA2FZl24T0Npw9+8jQzr4Qu4Fzk5n4SDEcKG2JhBGsYXux9w/EsLoYbje9Mg7ocvkkC+Fkth9lCak69BUPW0ZCsUGkJpqFY+zmTOUBrzypWYmllpB/QFDi0h9GHhuEbbF9KfAe1DzBKHKRzW7IvKq46jbAmKcWoq/CAeyGHGOON1+3InSdcFPU2WgIcA+6JF6YPrZ5v8kvKwFQ9GKM7JUJoeOEACxQYfiLYR6RaHZrRz28nXCGUgdMgXLfXYjF+84Ut8CKW5sKLPQTeVWxgO1+HLgQcMPRhhDLxNEGvEHGfK+tQePBJAHOQaMiMTawKAf5mdbCZDuRlMcy+m2+QsbhrS8Rki0VBaGx2MGErz9WOlKnhPG8NZv5B2ooKFO/WIcx7vO1lDW8BLeewLpQUCdh/KsGgobSCv+/28TzGnQETvxoNQJ8uz2MFAQ+r2BTvq5NZGD0a8fyBft7KLNlo3MvzmMh3maHEuhWSNXg+bdqjgFxmJxvo6Cyo3mpaOtuNguT9d31PYIdAIQnI3NbK+zVvc+5Z600K4+gesNe3PyXDgD+TrYb6EwrdWzoOhOSZMaH9ir8DrHmLlZ/AsCAtjTjo5OiJfh7GxeaxSEbrv6j5lUg6U+LBUfpNH0VCa90GmzpSJN4ZDp0lRMJTmiS6erh/LMCCijD0uSuwIEgdxKM0OUgyvnsVQGpyug/i50OzCe+JkyZIlS5YsWbLbsHQwOkAjebFE8dRBoI/wMbx8k813DwwuB0MtTvq0UFpIkSZxVcsrrBD3zCMZUkxXvTMnK694tIZIIFSRgfBcGYphZGnC9FZKgagF3ThPLbUQmIcN4lAa7rvQsNvOfKwhsdbSf1GaYqTp8HGaMYm1RSe7uxMrvop/a2kL97q2O6Rx22cslAZkRUuBqPdG4qh5mUBf4H2yAgDF2oaUdpYmwHMi7BOl+QJdgMfM8E8IpalXCpQJnrmWMOiJaPF+kAgokfps6BNCHXZNhpaAAHqflwP5WsfZU7uV0Au07Na9NfaRh1zxd8gpkDRKxEhTpxlucGJ+RLolYlT2sgOmLD4/QhkW85It1OifQWkCT5snpuTp+kCMXODRQizsYyAQFppdIV/jPtOOY+iIUWYlMZREizojWgLEiapELR15sPR1Pu/SUNQCAqFjJdc7+RooBz5b59r2EErTEC2QQoYhEbYztGwgXw8CjL5Otrta2gnkFkRm9SiMw87SECMTZQyyCoYUudgmiw5bur72nyOyhnoapAZUEfPZS36Q44+1b89JEr0hryjTcWuzLr2JfCKsg/dDLFOlDGy8T5OuT0TE0s85F6x4sFsQj3VwAmiIk6+rIWwGwxrg0PrfUO5lbGKaRKh0Tt202LB0fQ3nMV0fAo8QYnRZg6aTW7rdQcpAtzq9BvoJoTH8viikG9u4nTaU1kuGkDZRaAulWYhsCKUNyAvnnhcB9lAa1hHEarEWPBnBw9yOYnq6fhQyVomNSAsg7K3DnI5DaZCUcESUIVkP1XkY1a9vBO+zCcBgHZOMf0Y/mVxoltL1kyVLlixZsvPQUkmQu2YJMTpAG2UN0QU64UCBKFGvJEx6isYxoZGYGqUFQ/gskK/NM4GTCu/GyddWosLj6PSQ3atzM+6EE7Hp0XrKNj1C83qXQ8zcydco4IhrwxuP+UT0cvYJPHLmgFdjXJ/lolLiORAjeKCtxviZyor3WaorfodH3eyVRHrQBha5jQQeyZkxFAN8pCAe54hChBjVvQpTAj2pjffA1Hvzpkmhcf6Pi/IBgWIpAPBdFMnjY4J7AdkCoExEvwY0CG0lzwhig06EjgQ58UxAC9yLJd/H0nRRmNPH3cm8aPOJvenAMTKkD/wlerr0rA0xqrLAa4q5Jfg7EKM9QEwo0VL1isK5OGUk8EhyuAk0xojf4UILqoZisdZHRKi8vIF50pA4IMl70inHiIVi9TVwgtBWIAajtTrwSojgEVXxuWYpwEDESN5WdEB5P0OpB6Ss8xnqTIvHRoKBeFygKJQ6MD4TQU4jxjpvj/w4W1PbQF4mipbOkIptzwZkxjliWhQ14sg4Ub/QorpEbEH38WKmQbQSRYqtoDPai7kw1sKxTNe3Uim4NpMwmK4vUo0aygVwPZo8gZOvIWUQc4zItTNCuCNJ3C94U1MAiNxcFRXUwQTCtcIxMmQQ8hwwrFcXrmSBW4zLxBDGsEeIHF9O9XnHCiGTm1MoYkQEjhIVndxkRW5DGZCIfI0kAKJXS+VPUsi0zXktnRdOsBcpZpgIhjC5/EPEMQrfXpgmQG2cGG4Ik5PEKWxpKNvAMbJpjz3VER3nMJlQp062QfKA/EFHjCKBR5bxidP1Xf814hh5ir4W3z57HKNkd80SYpQsWbJkyZKdh3YQ5OnWPesLyBJidIAGz6zIDTHy2Lx5Tpic7jV6KoV6dcYdqDSNdX9WGuLwRIw8Br4i8BgVu3SPBehPlFnD65nrQq8USJFlRXlJEMbFKfCo19aipPaapwczxj+k7nqGCXkmEH2bF+RXKceopDcLjz6Ix1nZD/xOj3pXhRnRBnBIYqn83W4cnCp+Dpl4zjHqjQ+F9HmUWmFJEPUwl5KHkiCalTYgKMq9sX5kVppyjOBpeh9SHI5ZaYb0mGfo6Ag8vxKp48YdCmhbpplImpWmL7mkAp+hWeXYwEuGt77cHQVhT0dKkJ4ODgcRK6AczO6L0AHjk/C/8NDLTnZYtdUQIyBk5BjZfLEJBd6Kz604q2ozn4V2UXzPLKRqRxwj8A1ok1bHcGnTrFOOEVA6IAYb08UqKmpzMXCMPPvIBCLRV8jCwtrx9+J66D/03aQEYmSPgrWEbEdmpYnymWKBR8KEhq54FpCg0Klyklhod6kkE6bPA+k0ZFI5RqsCj/7DYrtM1+8HjkskXMiSICjEulQOXTVphgwnjIMLPAJNRVZan8l4VFPIEfMVKBQERz31n1IGhtqCe+OIolUt1f9Y5iVRIJYEGUrmkFeDbLdQlHlAQ4js2BzBZ7EGPLMOWWmUHJg0lok1iB4eW0z13kSMgNoqwoxir46EgmN2C/Qc9nGMfOyxlpitCMTIhEzx3GgLJCICxwhrZGGcJBcJNUTHQM8BGQ+onAlwev9YiRsguby/IXIunsqmGZIWuFveZGSlYY5EyDmzJg0xcvQa5oKvofSO8QNDcW5ykuwa0e9nj2N05j8XmqWDUbJkyZIlS5Ys2bl6MHrpS18qV199tUwmE3nUox4l73rXu27zvY973OMkQymMfT9f8iVfEt7z9Kc//ZTXv/iLv/gutw/oB6osBD0N8FtQIDHwDMwDc40XCqMhbWgfx8hep3cXCTzCIwkcoyCiIytowEoRTeMYUTSPyAd4Fir9r2iAaagAhVl0pwg80ju7HR2jYmF/jxAjZIRB1JAibYi/ow+AVnnGETg7ezk5TXj2Cp5YxIdhiQu6WqYPYygZEC9yVIBuAa2Is9JwL3rK+jnnyJRz5WUVQMpirRFyjEwTqItRnozjhz5RT1LHFNwL9Bmyk5wLQt0TQw+AGDCrD5pMnpVm3AV4w5qlaFwioF9o/66JOYaCucptQEYQPGV6vciAA8gQ6RgN2TWKjkBQUxEjQystKy32gEfI7NqnuYMf5xipx++qnkP/Ba6IoZ7sj2nDEiCOGFHHKG8UMWo7OTSZ6dgR8fHMrUHHihlvQBvdkwdPagnEyPk9mBOKIgK9mJT1qsBjZRlMlZDPpP2tYxoEHiMPHc95shsHQUGUo/DszXqpfCP2CTKhosw4Ik/GO1orl8qpMYHHeH1psp4JPDYi46KR6bgekMgILebaMARubVRTyFEFHpVjBPQRHKPGsj1dJ4clWND9povGMYkERoFKOWJEHbIoK011jLRtaLtma4Fj5IKpmtGG9+Fv6PPxuDYdo4FjtLMY85GRTUeOUaPrFyhYEJ4lx2hzhWMUZ2NRKNN0yICMss0mskh0wskdmMszIEZ8wRZoVBLEOZR2fS8wyzaYGGQQosQUIefOsoCBjBryzXXiOkYh6820jxxpMx0j50l6qZeVLNEoK801yDgPGRmwvRZ7xFnWMQLK257hT3fuHRMuLI7Rq1/9annuc58rL3vZy3goeslLXiJPfOIT5W//9m/l0ksvPeX9v/mbvynLpe/eIrfccos87GEPk6c85Skr78NB6Od//ufDv8djYPTJkiVLlizZuWuJY3TX7Jw6Cr74xS+WZz3rWfKMZzxDHvSgB/GAtLa2Jq94xStO+/6jR4/K5ZdfHn7e+MY38v37D0Y4CMXvO3LkyF1qHzwuogtzVz8dtILogWN+uQfm+hYu9Q+Oint5lsmG1xGHz/dlpTk3SJWvT9UxcvXlkCnhfB1DQTwrytvGmDc+VnfqRaOIbKR2HPOZAg8KnyXHyGpwznNm5MFjpC4KHL1KVXXBu6GGEhE09ajLPSEyQy+ybIL6LAwlLlxtl/pAVswzIAqmuYTPADmgYvfIsumMY+TlVcq5Fgj18geqcmwZTOjflaw09SzBbWB7jWME9IKI0VKogAwP1/vFjQiKjQ/biGc2fo1n7wS9ICJYvRS7moGmJTJ0HpBXBq6Q8a5CCRfPzFnJSlNV7j0W8cwkqzoiZEQwrJyEjz+ewfWshskCjpHygXjvFeXroSSLl0FwbaPpZCmjoglZTXgNWVnUo2k6uXiyZzy5iGNkc0w5RqpjRH6aoRLzZamIoLWrzPT5gSqB3+Pet+oYWVbaWGRzTZW7qYfjczPiGDlqt91PpIHSMkq6QD/JstBalsbpVRkcnr7dZ9Ax0vW0Xi6Djhi4UI7KelYaywEZOoG5sDFeBN4cNXZc+ZpFS3UP2BgtZLsec3wxt8kLIk1NCxL7/EImG8v5GKfGkVtHmJ1jFDJeI6Rs+LdxaayviF44YsTix8YxWiqqvDFZDjpGNm925yAFaTbdgBhpaRdm1rIMTqvFZiOOkdVIVu4YNJ7QpUvVQ6JaviNGnpXGBdVzLlPjzBSpPSuNKG2kfM1nMvVsokE+XyO9ppDR5s9vv7OwrhW+5Xr3KejofVyIGfwoQ85dU41IKov/2udMj8zXlJYeirXozm5W2plrGOUXJGJ0zjwxkJ93v/vd8oQnPCH8Lc9z/vsd73jHHbrGy1/+cnnqU58q6+vrK39/85vfTMTpAQ94gHzTN30TkaXbs8ViISdPnlz5ccPC5xe+kY29JAhSnUO9IIPCXYyQJGaETkC+DBL6VrtsPMD7/AzSrk088pRaabYwvSSIm4syYkNXwrN+ye9P18em6On6XnaA5OuVdH27pn1pMrW909Ibmnbfqzw/iKqVpbLal4m2tecXR7UjUSjN4PIg8Kh1otAAiuWZRAEOnrw3Nvl6CKUF8jXKg1i6voeeyplB2AAOnTCLL0WkCCNUacJwMK9vhoMtQ39GlEQYCm3F+xlKsy8wPTjZAQ59a+FJL/3hJRc8lObjT5L0spdq1yqiWziU44HSJeNOSqQ1Y3gY+ow2aAuleT02zAet7p0x/MZDuddkig5T6HMdNxUTDLXSsmV00B1Oel7PzEM3IZQmIpuTxQr5Gq+N80ZLNjSdXDLZ1vsilBYR9rMoXR+Eej9U4/e6LqNQGlLWtf/Rp34w8mfBXGAobSRyGGG7EB6NnI9Y4BFf6t2YiQwMuUHUz8nVKEticgskVtvhzGv4OQl7vdCDDsbOBTLDwcNDcVZ/DMTxI+PZIBzqh28Lpfki2hotVC6g0Fpz3A+Yrg/lUfsMBR5z/VKmBMEwHvzytvvzik6+FiVfY6xDqrulpaPt4cBQD4cKrwHHg9FSZHM813npMhvYg2cV7z0ZI2asddEYHjTysR5yOrm52QyCsN4+pxFw/VjyBOa5lhHKOE+UfG17XdVKOdMwthPow+EoWsceVqMgo5dsiQ9AFt50p05rutkz2TrxA6OSvAeJDVsIIZRGB/U06fq8dwildSpK6SFdNLMb5pKH55Pdve2cORjdfPPN0ratXHbZZSt/x7+vv/76f/Lz4CK9//3vl2/4hm84JYz2qle9St70pjfJD//wD8tb3vIWedKTnsR73Za98IUvlEOHDoWfq6666gyeLFmyZMmSJTt4g0N+ED8Xmp1THKMzMaBFn/ZpnyaPfOQjV/4OBMkNrz/0oQ+V+93vfkSRHv/4x5/2Ws973vPIdXIDYuSHI4SJmhk8Ia1u7h434HQCNEZ4pndhpDyWxahaqU9Lvu4DbEvvxtATFUQbwnVuTBeN0/WNOA0LBGEgFkQ37D5WVDVf1BZKK9SpiUIxDiE7gZifBfIEojKg8YWl3UM0keECRToYRohFHJHtXTRS7QFOB9Sk/47DPnusLmkhFXwOz1SthtKAuMDzRJiBwpQQk+wrkq9JmA2hNHzeEDInzFol88wRoyiUht9LoENB4FERrd7I1xT6M8SG42sNJ1kYsHwgX1spA4PrkcHsJUFAci4WuZQ7IoujqwKPTO0ftTKqWkEUEGnDRJXsWoEADy8ZKBpDaZXkRIxaCx0afB+FQoFieCiP7TOv+5BzuhGqrFrKA8AoIeAienFJkCyTw+MZBR0p+YCEBYgVEhbNoawpl49Ohjk8hNIG8jVLgpB8bTG7qmdB2WIjLiJr5OsGiBFim56Or+MEdAFhZoTtPhrI13IbobRetttpEBREeZhsQ8NhlK9AGjnaZ+RrLaehIViKXha9bAAxYhja0/UNddsXSsO6grzAWrGUjzn52kNpQMYoD6GIwlY1k9niUsFWEYfSuN6JGOmAaSjN2hsVkWWZC9PsJIrIuVcMobSoJAj3DgsZ6Z5i5Gt8FqGgQkU6myWESkUOj+fsV25aEC7FfENR115kfbSU40BQjHzdIhTnJVWAGNUbp6IihpZif9R0fZGMJG6sQyRrrIbSgKCXez2R07n7qCY5wAQTE+iUIM5oZVcwPigcHQleUgwW6wc/Tl3AexxNYnjLkik8xIbEgP2hNCvEHCNGGtJUuQ1F9HV9Z0AiI/I155Un0JzFUJoTqM/sGr1caHbOIEYXX3yxFEUhN9xww8rf8W/wgm7Pdnd35dd+7dfkmc985j95n/ve97681wc+8IHbfA84SVtbWys/yZIlS5YsWbJz386Zg9FoNJJHPOIRDHm5dV3Hfz/mMY+53c/++q//OnlBX/u1X/tP3uejH/0oOUZXXHHFXWonyLkFECPnZhgqw6Kl5tB5OqkXI2Q6uZGvvZSHEk81Dg9SqpdYIPHTiMz0Rixd2I1xcOdY7CNfe4o1PBrnGLnAI1GBRaterQk8OjIxkK/V06WHaqKN8JDZrrkRK5vOiolqjJ/8A3++SOCx2oUYocbj8e+YLArBQucAIJXfy6CQp2QEA6AVLDzZgXzdSTvuNU0ZXjY9aBN43Gu1f1m+wrw2Crcptwgogztwmm6ckZdEvoWTr9FvC+UQUejPOQkR+RreNomc8NrpuXpaL5AA4xxZmn0WOEbqvXu6PudKrenQQB2IDIBjZDICoRSEp+tbn4DgzjTvspVqz7guzquw8efYODdshXxdDYiRoV38t7fJOS3GacO1j473iECxfIRdH0iAc4yuHB2LUAp7i81pIg+W+swxJCeoI+/HEUF49eAsOcdoo1hGiQTGXetQhLSXyycnbAA0XZ/zEzwVK5Ph82qvG3GOEBUyNIAIHYsL98pfs8+5aKOnyONno5zrei07jrW3x9cfPx84Ro0cHWFwbV45Qlz0Kg9B8nUmh6uZLJdDOY5QggZ0V7TR5iYkLwbCd29oriEgNkZMJogEHpW/qPeFYCSv5WOBPiAp2RBY8NqsOG6+aDguF412h5IgNleymUoNgDTOYUKyBhEjLS6sHKNWbl4YYtTrfXzvQvu5frBfLDHPsbaxbjJNUPBSMdirKp3LSMyIkU/nIjo5PojYWukOPltITjBej+1Rvh9D1kLXovIGuc86wulTMFrjzjGiOKWl64e5asidtwP7ho+DI3bcR0ICzcAZPRvWgYt3AD8Xmp1TT4zw1c/+7M/KK1/5Svnrv/5rEqWBBiFLDfa0pz2NYa7ThdG+7Mu+TC666KKVv+/s7Mh3fMd3yDvf+U750Ic+xEPWk5/8ZLnmmmsoA5AsWbJkyZKdq3amGkbtAYTizkU7pzhGX/VVXyU33XSTPP/5zyfh+uEPf7i87nWvC4Tsj3zkI8xUiw0aR29729vkDW94wynXQ2juL/7iL3jQOn78uFx55ZXyRV/0RfIDP/ADd1nLCHyZZt5KX8Brg4cND0Y5PCweaenPmu46iH3B2186L4BFQO1n1JJnQ0cJnlbRyYLp27edrq9IkKcB8a/6vIZqOGLh91YOEwo7NoYYDeJy/LRnwYR0fY3Tg/cAbhG4G0CMJhW8wUJaCNIZx6hHhlrekYPTmjjbpKil2ukkX9D14r9XSoI044D8sM2WiRdKRrDQqz4j0/XBMRr1soTMQAPPOmPZDorRzRrJkIlFxMjT9ZGZpF7qSlbaSL12IFkquKcIHMZ0tmjJyYDQ3yDwOLS5tCwqoC5eNJWcEU/XRxYWROPAd0KmzVKImoE7pWnR6NNeiiZnOjQ8ZeXYWFaaZ+Zg3J3jVAIFVHmESZEx46eYtdLnWm4lRozQPv5qadmeVTXNdJ7j93HZCiqnsC88pZ4lHBS98A3yssm23DDftDmk9xlnQNKYmy5XVoYYGWITpmCUrs+Cw8hqwyXKTrrtkWYgWlvA2eH8B6elXKxITzArDRlMVS+Xj09YX5jAIztckUHve890BMKk2XAmaor+nuWCmsVEAMANcW8eHCggPPhv3slmPiBGcf8FZDNrV7LSLh1thzmt4oOK5CK1O+sUBTlS7kmzQKq7zXNDt3AtRznwPmSyYQ+oHVmK16OLuqJPIyTCs8DCGrbsK6b2GzKGDDS+hjkGnmPeSbtsOC5EvAzlCtIZxt3ZqhbKp1m2koEgRY4Sng/ztGWx2dA3NvYudRAjRpjntWDNGvoL7pmhLRCCLPew91kxXuf2WKasNkDha/LcTNBU0SBFtgJfiRmaJq1giE7oO0/XD5mclmVoCLMKadoaL1phcqtzjHxOWikX3osIt601opYaGcC+jeWBe3lJk2R3XzunDkawb/mWb+HP6QyE6f2GFPz+NgSqptOpvP71rz/wNiZLlixZsmSfbMMR7Uyzyjq58OycOxjdnQ2xfXhdQC3oPZmsfFz4M8jY8x/Dr/AIA/rjji+8mQoIxFC0VMtiqJtK7oLHsv0tXuQ14mSonpJxCBjvVu/Ujd4PL6veJHWMYoHISAtJ7zF4qszoYAkCvT6y8ch3oNjakB0WDCVBqNmiSBr5QyuQl8g2lfiMOwE0xYpZsrxIVfD+/DzLJZio46i3UiImsOb6LV0nWTagQso9wTVdt8TQH9dAIdKiXl34jHMDoOECdCvO+GLJEuMWKM3EOEarWilB8M4EJjnm0ByCw22aS0RoaiuZAgQKz4mMIEcArf3sbxZTdaQRAn2ZagtRWyYae0eAJGN2FF7j+41jE49LEFj0DDD3eM2L3mknfBnoELLGyM0orEAxtV80RWozQx2WqO+cr0QeV6a6Pq6Pg48AbWghfqjbEctLBGE8RVCcM8RrjGxegLOSL43nM5Rh4DVMUNPHYqeZDBwdy/BjZpzpynANuG7XaTggYXydc+P3MO0qcJgCpwRCrzZ5yIWxta9FSYHEmR5UMZd+Ce0e1ZYKGXxi4pc2yTDv/VoBbbAsKp2DAGqG+bGHIsymkUZ+lXP2oEUEzSsvcurPiznmSzBXLiT6FfPFRQ7JmbMSLkRN/dsS/TG39zE9tZDtpaGQVhyXwGnMebQ14siPc+dYWsP6l+WLGuX6hfmzT6CU4+Q6bo6iuTYb2ow5ZnubTpyYGLbPXIco4lWGZ8feY6qNKx/135vTtUs/xzkbzX99/ewdNQ5CoLG7AENpF94TJ0uWLFmyZMmS3Yalg9EBGrxy997pHbrnkGcqG+/uHmPj/qFMZOEB6siLNw4BOB4oI+Ael6NHTBwzDydWumYpDJhng+DP0MIpV9WMY1SFCAo0UUal9JNO5iYZS4/HPR+WHHC3Xzkuyo3R19E2eFXNoUloI7KA+J4uC4UmNdOspe4QeVilKje7h492gqPgtresWMIBnz05m0izMRqUb02NmdedtnK8XdP7jgaxnm5cqpfuJTnQx4bQOPcAfaHIgaIt7XhAvdB+tK+rtOQCtKBcY4ooCzkbyo+gyjGubWrO2i+Dd25N4rh1Y30fvH54yii66yrpy7pUz94LYEblNDg01DfSvkT2GkoyoH3gQPSlcbui/sTnd+qRtAsUrc1YDFSLxorc0imXhMNqyAb0gdy8r3Cda+dH+DhARzjFwJ2b6NgBZcwXKGRbyl6v6AkF1KNyJvh3MxWZNxXnIBCvWD36xJ6WgkHfITORnJtcZMG0vGHugytEJeIm07ZEGljUMMJ8j55B1lq5pV7X6xHBVD4SUEZHE1hI1VSwtUhqJp3zVtpcTlCISm2G9psukY/p9Yut0KfztqKWD5/fy6wERFekXQP8Au2jRrKF6lQBbQ2cJENgvQQI+FQYY1WoF6HAt5fYcV4hxgkK1kUmNzWbxpHBePRy03LDiq6iEKyODeYp5gK4TSxFhP0BYn4bY94Tfd6SzGj8n6lpBwExRMYg9J/KXPuK5XXAUcylPbRGNW9qt401SzfMAyS81FD61nmsa2WYG1jrocQH+r/MtHyM87lsrVLV3pFeahPZwPh/PRMtEM0iBBEZdK7nhTmAUjLloB/ne6cbuXVjLXtC3p0pznsEQPmgAxzka0g1rwzhM50pRXk1I/Ns10o7058LzVIoLVmyZMmSJTsPDYds/JzpNS40u/COgp9Aw8mayAFQFOf9WH2eUE9nn5YMPVio3BJhMs/Kla5BVSo7LfJoHh+ty+g5eVHNkG3ldXtYsydqmGnhuA4NC9GapzMoBKM4Zyn5qFUP3bw4ICf8p3mV3q7wLHiPeWTwopZb5eAFwlu2NgIFcWQL3nE7BrKRB+VmarlYJolzFGALeJEo9IlCo7ORNGtDqo1rvLBO2LiRY826etyoBWUoTTspiKJ5MUwiGaZjozpGirDQwzPeDRAn57jAQ4dOENqKmlYobuoZMq4/gza7ZxuUtMuo6KdnEFmjcc9mrEq9LGSLMWNBYft3mwdeidfPotq2e95RnT0UcyXaUeWKxBVahFZ1kwz1y0V24akvC6I0u4tReN9NxpeiLI5lS/o4cxhNPwnXuWG+xQ5B1qDPg3ZN0bymhwK5oo6oS8ZpGhCjoSgtvO95UyrKAcQIKt2W4bPYRUVdVXDeBS/Gasw5541eOsfXxr8GslENXDCML3WKTC3c5mE5reVEPVX9IlOLJtqKDCZz3oF2Ar3BZ0roOaHNrL+VEYECR4n3zIwL5euCg9TLTYtN9in6F4jR8XrNECRFeYgiyzAnQ/YZOUa+BvW/yK50HSL0GbTAmiW0qoY1RzTC3s86beC5sCCuyK3NRpg3/aiTW0xXCK/NFqhKrereihipArnXKKs3SgIrCwwOuEO+N0wGlAOIEfhGXZlTsZ9zF+hak0mzOZJ5rYhaN8pk4gWA7Rk5D6F9BFV87GuhsLLIfAnozJBvrkuUo7B905XTbU/ShllGna2zeF9lBqjtjb4/EemNeIVEVCtDmOOMPv+d+7ciqEC8yQU0/TBFlIci4b4/OyfSM/1cx4ltpmq7onRnyxJidNfswnviT6BhA+cXZDGE0rS8gB5YwsbmoS+DgrmIYVYWInyZMpu9kw7wb3ygsi+vkK4fka31YBTlylq4RomACjtT2h4bdZRuzoPPqJBy3OoXkW1WbD/aFDYgkxuwLxe+Bz8MpeFgpJsdXx9p6jq/DPDlbQVuQU4FpMyDRtEyNOEhRGwmCPWEL6xlqV9Y+FKdlVKvW1jRno2HglxkMqntYKTV1/11hMU8HOhhR3xxwrzKuRJLfXPVQxuh707JsvgiRFtxDRY3tYOOFsfVUJqTlTU120QLcc8gBBeRp/nl6MU9EbIBOVzHzA9KTGmPQ2ldHEozQTwTzMMXDL+ksOGinahaHj0vfvYQ3rCwzWKh/Y3fb2qtoHJ2+lCaMmd1XG7c2+A1Z/hWs1Bag76iZiEkFCBIWvBg5F+G/EL0AxcOnRP9oscc1Crv0b12yyDQuF1P9Mu90LCOH2bYlZxXum72Wg3b8O9Oel+axIG9fzqp5eRyonICLqKKwqz4UjfDF5evw/Go1r6zwqT4HEJ7biT8R6E0HJZumq1rOIqhtFKOLdfUeaFzEJVi6TJpJ/oFy4PRYvgCDbIRVkbC9wLM8SCiaIkIWqTahCNJ3EYoS19D2DCUBKl6uXm+FtZzPS814YGhtJxp5CT42xyuN3R9YS1jvugcFemmSoBn/xQ4GOH5VSICBwQVpM2k3iplgTVrBwovAOyhrL0ah3Kde9jXglgpwqwLSHtYeJLPqUR9XQiD48TP8G0qgXG6720S2U2M1gs0u/xFqHBrByN1RqMlGg5JmvSAcz4cO5bJ8YOR7b3sk7iYbyTF4vMjEMcRqhxhzzt/S2y88IUvlM/8zM+Uzc1NFmaHfiAkc841SwejZMmSJUuW7Dy0sy3w+Ja3vEW++Zu/maLJb3zjG6Wua2oDQoj5XLLEMTpAQ1ojQiAQFGQoy8mBVuRwIPdFP0CMmJo7QMrBc+l6pmPveRguyjalN8oP2fEWXg68ISP5raSHNvtCaYZM7Q+lteNCJuNZCKURgja0hYiSE8ODh26hKfs7PNtuI7rxWCUI0Cb3eFmUFYgRwlWVlrEAsTGQowGpLyrZtEuAeJ3Ds0QX7BZSr3voUD0zwrx5JuvjpRyvlSBLQMORKsDknsZtfYX+6McDrA6vsdoZpBTakZKvtUyBIgSjShEzL27q5Gt46+BJuzfJshithSsdMfLUaC+n0iOUlkm5p6KQIM7mQI4slAYEyVP4ES5CuygWSsTIUIpmIF/j/ehLCAvOjfAb9yc+P1tUnGcMHZioIDzaG9vNoSSKk5tBSvZ5ah423n98byqXov5mW8mG9UMz1XFtUMx3js8WTBd3hCKE9AzxBPDSomioIW0hBR0CgrsWBi6sMC6KlOYg4BqCaUhoNtIJiDGYRYgR5z7CY9vFSihtazqXE0tFoELZHWSWV9Ywm7skj/eZTKtGdgxdoExCK3LSQmm4P8vcRIgR/nZiBpVII183pa41IkYmt+EyAkANgGIa+RpCh5brEJ4DX0QeKvUitCzb4RGgfeRrlgFCWQ1DT25drgcENKtaObmYWKgnk25esI8YCmRhZpuDhmLU69pQ7AHoD4LKkOKY4LcqyDUw/FZkMrG+wvUwv5YbOQsCO2l5o1oOFAHMHZDIgVgBlcQcp36IzRWQ3/eTrxkqjxAeQ7G5lrguBmQtSDW4QKPPa0O1OZ5WUseTNxh2Lq1o8H7EyAjfQL6IxNvfOG89OcPWrCNO2Ddc1DFGjAJyjvClCUCeDWM/nqmOUX/HPw/B5dh+4Rd+gcjRu9/9bnnsYx8r54olxChZsmTJkiVLduB24oTWMjx69KicS5YQo4PmGFHk0Tg+OHZ6rN9FwOjODKmv5BhBZz54goN3BK+Dwo9AW7xwovOKjGMUeDN2bfAiVAPQOEwW+w+cJCuzwc84P4k3h7efy3RUy9I5HeYZdfsQI5IOI76UozHgqJCy4oUYqzaIKXaNknSZSpt19BjhqUGUkKn8mo1Mb4xpwk4oWagn3006KWaZNGuD8F0WcYwOTWZyAqUI4J2Oopg+qCEuAucieUBfzEP3FODA5YGHPjKvz0syoO2BYzSQrynsiLGM0vW9fAZkCBwx8goGwch9GnhkLF9C8rUJDrYZ70l6hHv+9gxO5nVEYQ0FVoHUlZkWNwVhFxycAhIARqoFgbdWcjT7Zp4H/ssN9aGV9GU2L/J0nZOBcVmCHA2eSFPJRjVnMVQ8B67Vihb27SpFjBwlyAIRXgX3qELQ5DJCOYg4XR+b0a72cV72hhg5+dokA3z+jlpNaW8U2Qhp6+QnKWeGyJo9xtHJnnxs+5AieU6U7TKpqkY6rzKDYsQL3AsonHKMKFhpa3SviUQSMTZAnqJ+2puNZVpa4eSuoNwCp4RzjCJ+YAN+Wd7LKGuVlxUnNdg+4vOL8xH3sz1A+1HJ/c5J8pR7FhwGsrecBvI1BGJ3ZwOClwExGrdEoIBeoEizCnVqEWauL0vXRwkQgiEo+TKtpRFFnki+RhHqCogRoCMdC1yn3siI/JArNwbHaBHmLZ6d6DASEwA+UbzUyPB4JhT0BTLlkhbYCwzlDiTnmGPkCRQr3E3be4AOOpcoIGyGphuvydHiwHWzrYVr2gVssT+Me0Wu0edMKhnI1J7EEvZCW0O4v5de8fmma0vlSs5mFKM9IIHHkydPrvwdZbNur3QWirw/5znPkc/+7M+WhzzkIXIuWUKMkiVLlixZsvPQUFXgIH5gV111lRw6dCj8gGh9ewau0fvf/375tV/7NTnXLCFGB2jwbME1YZUE4/1A9MwRozgGHgQYieh4xthQ4JGeCxEjqKvti/G6cJ+XPPAYvHm3jhb5zdR7GThGmpVm2RQWT9d0/UzWRwump/Oj5Kl4SYpVrzf2Xj0DihyjzShNetQyC4Ypz552ToHHzrJBMhmVrWwbP8MzOTpkpzjCslRPHvp68GAhEHhKVlomcnQ8k5M1PGPLSPJ0cqA/hno5ukauTchKUzTNOTv0nAGMRAKPQG+cpxBKQxAJ7AeBRwp72uesaKSn84c+cw8W5TmIahlqZanOlBCgoKBm41Cb0fpNBy7KhKIr3zNDCIiTc4zggYNDgnlU0iM31GFRytj4LMzyM/7LzY2xuaKUYmZSeVazednMWtqtJOtbZl3xI0S+dA4NHKNcy2Nkq1l0WrbD+Et1LvkEqIHJRhikVu6K1JuQqGgpAumoGBBMtsfmVWXZZFg3zJAzZI/FhSstVdJOh1Swiyc78oGbL1YUwdYhxmlUtTIP4paZlECMRGS9AhwylCTB9SBMyGfOvBCsoTa2FupZJUg2I7LWQKATKKPypchpsefssUdYn03yWnLcc2uYr2xLD87ZgBhRaLJezQQN9zaOEZ4LiB36WPlU2rfoq+W8JDuIAqVADY0Lh7Y6YoTsNe5hpmPJ8TQkG/2wPl3IiWyDDWK7jWO0DnSNBa8VNaqBGEN+hOn6Ihu4iM1bPANkB4DqKWKUKw/RstI4L5H9ZmOtHKMoXd/3JJuTmo23Kuzo/405RoGT5YVoI4TROUZZjOKHyru210KoFjy+DKV6jJOErD3bEwMAFGWlsV0uAOr8RivjMzqL6foHaddee61sbW2tIEa3Zahn+ru/+7vy1re+Ve55z3vKuWbpYJQsWbJkyZKdh4YQN37O9BowHIrig9HpDAXbv/Vbv1V+67d+i0Xd73Of+8i5aCmUdoC27CrNTmLpjKEkRxBTdHmhfVlpQERopv1C5MDQhKpo1cv1rAfnFUU6RqHECH4nJ8RE88ycr+D6QoFjFMXnFV3JZWu0UA99n44RESXXWIoLyvr7kFWCbKv1gdsBb9Wl8N1TV4FH6BjpM1CgEBpPcQkLpFZ5lyyVg4XPlnsiDSRZIoFHyvTnmRwZ7VIY0iX7vQ2aleZlNbQN9CbdQ+c9eylALoHnDR4M2mY6Rq7BxBIm+cAxylG4NodskHKJII7I8W0HxIj6SJaVtp9jZBqIikogo8g4RvA0UR6EpV2QOUUUwBC7bPBCHRFYLxaadViBY9Rqm8gxsnsh2wjeMJA3IEZICpobglF2cqxeGySvnAdhWV/KMbLX0G97elFHFFXHyJAhcIwWQNsyLSnj88IEHoM436QjJ4pzEChF5OVXyOhlHdJORSCtj4FeOE8D/52May0JUiuaFLLSeqE4I5GmiGN02XhblkAqmJU2IAHI6POJhDHmOmSRVEC4+uxEGFB6pDHtJiI4jhhFN96DlpQ+L9AiZFbieYFgxTpGFAy0PvOstIBEtsMXEflhlpVGdIIZZxFq4llp5OwpN01RHGFJDi+OO6oaaefGGcTcmCk6wvVMjpEibBQkBSdvTe+JfgWaRa2gVmRrPA/Td5zXUpCXlDHrzLM0yTGClNhCizYDFV03jpHVYJUWPCIg4yPNtAyoDvpgOSA3rtfErDTr95CVFnGM/JlPEXgMOkaWoUmkyfWNBoFHQdag6Rjtz0oLHCNDObkXhqy04TphHzXxVvxR+XFxVtrA1cOefi6G0u6IIXz2S7/0S/Irv/Ir1DK6/vrr+TObzeRcsnQwSpYsWbJkyZKdsf3UT/0UM9Ee97jHyRVXXBF+Xv3qV8u5ZCmUdoAGT5lZFFaolR6eI0WuZ+SOhivWQyPEYvmqfD3AC/CYVWXWPhs4PsaTWCkiO3BWgvK0J8eBczEZishWRSesS4u2gedhfAp4eFvVXHaasVI2vNAsvFMWjbT7e2aPKyvTi9NyGO26vojX10ZL2ZXpULzRvDLycoxjBK+9raGEbI9W9qrrZFlp4ETQk897KWcie1urHCPqhuQil4x2qO48pvL1gNKA5+DlNIKX6UCBOW6ufI3xAieEGjiWaQNjAWCU0LCsNOcqEMkxD1L1lAb+A7IJIRw8KF/H3CwdD46N8zOcz2IIEgtlkkdj2Y3+WdOgcURgCtfddKpKZPvhv6NGlswCGvSbwHUDAtAd6aXcs+yvqqPmjXaGe7uKJIV5GilflzuscKoFTQ0xAvLFshVdIeUcaFsmM3a6Zusxe8yz0sDJmjTSzUv2D+ceBt7Gs9rpJbtUta2gNDyp1dtnxp8pW+NiU2RCGSoAvpMif9o2ICQNVZnBKdF1c8XoOAvoDjpGOken1VJO+PBYdijWwlq51DZjfQAxgV5SxDFyxAiZhyEDc5YH5Wtw0pbgdJVW0ocDO6xd8svAMcpqzm3X+HE1c+cYYY1yHZtGUWuZXdxfCtUf4hqBGnszIKt785EcahQthc7QNpA+W6fk63FfkhUdIyi1E/GdiowWQIwKcq58nRydzOQjtn7Rbi0jolmRnL/GlVweNpS3Va7eoXJP5yCRTi2vUkwbLd2CPcULUhti5KgY5xyUry3rlGvNlM0HxW/j4BkapZ/VhY/+yk7DMdKsz2jTtvI5sfI19id9cPv8qJNsVogASbVsXaxPgsGxjpGh0vwo5toKxygbNNPOYlYa7nTmobQ7bgilnQ+WEKMDNFakDiVBLCQW1cAKJDyu0KEkCL7bnBjNhW97Nz4DQi2/nDzt09Y+4VxbbPq9YYcBg6dXQmlGvnZBRoZ/hu8HNatNdLiaaTkKT+81EchQVsQ+51/wXouLGzoOBRsahoAh9V8PBEMJC4ZMstbS9UUmJA9rKE1rcvWSz7WOGAybrZNKEUpr1yJisIW50NGXVSdkvjRhSg+lQViSrFMLAwbytR0qLVTG0h5L63cXn2O6vh4aKaBo4cKKTHbbYFkSBFB8r6E0k2cIoTQPkUQCj954JV9r+ESFBHVecEPthpp3mBshlGbhrxBKw+Ez1y8mHlyMfI0yDUGOgQdtPHOu4Y+qJ0kabUOdK6R2e39qiCJjKE4nzhCSwHXQ/zCEiuKwEEnVqDE211DaXqtV0kN1+ehQWE0aJQpjDiKMESUkjHb0vTwYoWwInrHow/0QUoKtQTQwhNKUqK/jmbGaO/sQ17bHuLI6xjpxGqYcpAk8ZOakWQ+lbZXoIEv5ZskeFW30PqEwIQ6/XlIEmft7Vr+w7DUJYankayQXhHR93sekGiDwKEjXVxK69ycMh2y206v78GA0hGQ4ryKBRz8gcF4XIkuIeeJQiUNMVUuO0KntH8XMyNpW6w0SD7g2D3lipHWUITH5Al6/FbloNCgXY/1ivWCuIVTmexXa0Kx3dGY8BLWZz7U0koWVeEAn+RprTgVpfa/BOmfIzP0Ir4vmySWWrs+DmO2j3k+6KIa92ENmdEBJgh8kUFxuhA5O1Vq6/uDAMPxt/coD36hVgVVzbpkgY3Ie8cFI5TqGxBkcXsOccSeW9IHzN5R2vlhCjJIlS5YsWbLz0A6iCGx7AR6MLrwn/gQaCIsa2lESIT19D6XFAo8R+TrfF0qTlXT9nqEmhnn2lQRRwTTHfqPXrFp6LKO/nwiIwqeOYvkMQDsQBjlc7dELD9CwFUsN6cNRWrEjUESjjKg9WV+Gxmjas3lL/vzSEy2gfECpYQtWBbcwAZ6fnmrnoTSJQmk9i1mSFOlSBYZoXVIqwZYeHVEKr2btzxCn6w9hxxC+q3stMeCIkYk/sk2OlsGrRWHJiHzNyuZRuj7T21uFywnfR0RxN4rXjS19GJ6+IRl4L67rxU41DGretocBEUpDvxjCtRaRryG8h6FD+ITzyEjnzPRfaj+SaA5ABAhc2TK1e2iYjhsJw9boIIoI0qiBBiyJ4aE0SBsgXb/PpZi1GkprI/I1fnXydd7LdLJUxAhrA89iQnqwarvhM8OjRmFcffZBPNNDxEgQ4Jw1JCcmXwMtw9+BrHmSwD3KYyQE04v3Me+MZB3QslzKhSKEQEF8LXmICIVRA1HYQkdABT1tHGFehlhQcgVon0kiAP2iXEVIctCipBiXSd7oPZ1QD/kITj0NRXm6PssGBdkGQzh5Xb0mw2GNoossIcIyOjo/pmUdyPYeSgukYqAXIF/js5B4AJI5VTQZewDQLO+HS0bbAbUe0vVFNhB2NLSIqNamij8SIQdihMnmSCfJ0hnDiwxPGTrKsCtQMLQNqewRMsZQmpUx0vWryJGj4vG+FFA57HF4fh8v9JuNlSOg/gLEQjXhZUgEQH/yufFfbMnjlqV5fBwxp7k/+H4SlQSJi8hCEDK0y0FBhC9XMjGS3R0tIUbJkiVLlizZeWjQ6sZB+0yvcaFZQowO0OBlgWPEbPcIEQqp8TGJFrRO+zvj9UYmVJKixcM7cHDqQLT1NNaBYzRwlujxkETt6fpDu1Q40XhMeZSub94aDR5kJXK03CW/IMj0O/kaDmooIhuluxqxkchRm8vhdbjO+ratCvUOXPAsOy3HiORhFyI0JAxOZiC1EulQInu124lAAC4iX7t43uXlCXrKPRUkzeNzxCgqyUAPz8nXXYRSGck5j8nXbAPU+8Ax2lcSBN6uc4yQfhwRvHF9kovhoUdk0uCpAgQYR5wHLzxLhNHLhBjHaKlIlnunzmsB/wZNA4fDBTxRnBf3hEino0z8L5Awyh6AwKOInKMZSO3WzjBkzTg+bO4+jhHJ0T04NIV6vT1Kgmg7wEMo5srXCHIP6BcWajUuSS6yMVbECMKlQCkCSo/iwtuAIYQJB12dR+n6Rr42BGijXGi6ftOT9B0QhC4jSkkUFgiFefhXlTN9/iYe+4hkTbKayg3gA0A5ghggrgV+u6Nk5LUoYgSit1ux57IVRs4GCgqOUYGyOKviqORlZb2MwDGaR/wbQ3vJMXI01zlGBGKHdH3lCdkYebq+cYxQ8sXlHICKgTLFxA7Mn5klBAAFDRyjXgVJSVrTsQevC5wx7SuRS0dDOYhJttQ1WYhsgbRkfYU2jNbxmqFf41YOF0a+DhwjjH3HUil5jMJgm4EWZCQ94gVj2Qcme0FSvReRtXT9gWM0LDCihpEUwH6Oke8hkHfgdOV9DbnbxzFC6RjwoUIBYux3Lhlga9YRfS8PQiQYHCMHr+393VnmGHko7Ux/LjS78J44WbJkyZIlS5bsNiwdjA44XT94h1bmwD2/mCMAUw9FPRJFjCxNwjIZ1GPtZZRrlo17JKFwrJeGCCVBLNktLp7omRfGMXKOBvkvpxF4VMRoR71wz+YwjtFQ1DISGwypsENK6qVrO+EZN6t5QLUc9YKxiCzSZCuRKfgKUbmUzBAj9/bgRdKTZ+ZPK2NymOy9RIw0nffyYoeZQJzR4C8wK81KYERojmagWcZK8CiBqCjsQMQI6f4u8AhD+zwrLWuUd9IaEgPkj1lp2g5HGiDipp79IP8/ZKWJ9BNN+yfvJRIeJNphJULYb4ZkeZ+DQ0NPlhySXtbyRchKY7+66B44NniLZ6V5dl/VkauFto3Llqndbo7IkKfj88fmExGjXX0AcmgCx0jRPKANxV5DrtM8ZKUpQhWePe/l8HjGa0JaALICXnuXY31yxvchswyImfOrHDHyFG3MK74fSE5brKTr89nBmSFipB+7oljXTKlY4BHokuejG2+onKmHv0HI0taSZSA2mFsGZgTECJ6/rSmgMirwqIgRy84wKw1w3lAShJmS4JcBAUWJiXk3iHYakEA0zBBal/pYyUqD5EbZBr5U4BhhH8F9wKcyjhFQMYI6VqaommkZGyLAlY4DkR5kMmIMJ3hoRRqAZrmAIRBZ50WCYwSEFXON6JrNYdzz0NpMuUL496iVzRwQlaEnRHJUjgEFphUxsudiun4kb+FZaZaun9naCtw55xh5VpqXWLJ5C8Qs8MmIBA+lfFzmgJy0UR24XEHexHmBhlJNx7VmuTmXyFErW5PheuQ/6YVwf6Bwp+MYYU8/W4a5dBA/F5oljlGyZMmSJUt2HlorOX/O9BoXml14T/wJNHjKLFFRZMoBcHTFPf6IY+TS9+QYWfYHkSXL1NF4eE8OjpewoFeE/zp3JBIwCzL2nknFf+h/VL5fUamYY+TZFP45eLxHix1FP8zjp2cUI0Z+j8h7BX+Ar7WZ3GPteICTNulGG+fJ0Cn0CTK7oKcDj5g6KBB28yKPBXRQXM1Ps2jAdcDzlXuNbEwXA3/KMsbwh4sL43VkmWbAuMCjaRoFgUfLSvOSK3weikp2vAf6BmgWvUvnrpiAYlwShAVo7f14fpTw0Cw+zShSVK5fbWs0NvkYaYDar4oSOcco0jbCLYBkmYYL+hxoio6pNn4diJF5zSgISt7HCJlAfiPXMdJ5hr5Bf+L90LhhJp9PFytD4gKKsY4RSiqMTuqzU2PJ5gEyj6h7A1HC+ZL6TNT8YSaQonfu4eOeQIyAiAFRg8bPUERWJDuuaCOL4QJ1aXSeEsF0RCvr5YgJKgGhABfGwFm2B4KDWC8svmxckhz/WxqKEHSMgAyBbDVwQ4je9NqnAx/FeCwQKHWOEfoJXChwjKybqz1FDlmKBOJ/C3B4VKBVEbeBx9WNOyIYE6Bmc2RFDYKuQVuQ88t/jxBXRz3B0/GSIEA6iQh6dhcQC80uWy+WRLNcawyo2KqOEbLSes4rkHTXporI1uCRoT8MyQJi1McCjwuda5vFzERKtY0Xr+8qV6jtWUT6cD5TYU/X36oVacNrXIdehsYy5pjlGe8tVhTbM8R8TwpZmsa1833QjVmboSSIZfE5ch3VcJ1WQDlXkSoKZhpyhP+uj5aqsWTzL4hM2p4d9sOIp4f7BK6eoemO9HMPSXa3toQYJUuWLFmyZOehHUQorLsAQ2kJMTpAg6fsJSqCF3xKVppXkh2QJMTryTGCt+KFKc3LhjaN85S0DIipJLMorHtOg2qrOyP7i8giNu9IEGPorlEU6R/Bg9zK5/QWeTnjGAXl7khjydEvLxBJRKrN5PLRyVCqBB754AGvenQsB1G6JsqQJQINnVBUl9wYU6UG0rVXh2KWgXNlSM2RfM0KbQ5aP5TgB6JhPCLP7GIGWqwtw8wcR4zc62eqlb4ecYzcm+SPF/UEUgAejJffAG2E6I3yOVbMUnCgjcJrO+/BvFtHqhzNwvODn+G8MaIUbJN61kA38sAXUQQGKIFn4bjKOhEFXKsaECNo3KBURtDIMpVyFPYN89M5RkCadu3vVq4EAw31ale+zuY15xB1sNh4LbHi/YX/O1Qpxwj9Ao/a1woVind2+T6ooWMsOZHAMcJ8dA2wPpONcs65jH6DynTgnCBpEQgrELuIg8N5tVjtV4w/1paOv5bIKIDO9ZmMKVozvJ/rZwUx0ufx0g6qY6RoDdFKU6pmVhoHRzPyNMspI8rGOYcuWrShdITzEOtey5d4FidR28DR07XCe/vaMj0fL0jLDCovMlwuLKPNXpt3gWPkyuxEccqWfUq1enCMqHxtfMdWiPz49AXiq6rkqrxOJMb2scunJw1d0SLSE3aWZnp5liNQViB67D5XHvfMUHtEn39euDUUYy5jxW/jGHm2rGsRsc8si40fHnSQdEwHeW1wwILemO8HzjcyHTisE0yJwCly/pohgfsrCHAsgaBhD/D729pi+aF4Yn6CDbPsIH4uNLvwnjhZsmTJkiVLluw2LB2MDtBmTSn1vNQEGXiGzGzyQqbRGzPjaeC/yLwoMnq+fW3FQ82z6Ma57Dbjlewvz45xjlGcYbGS/WCedIzSQLGY7QGSAi/LijPGuh8oOLjA+yyLSOPxA1eKzefvpq+D16FHA8+pyWSvG6mCdC1aTJTe8sChgn1scVibXIjstJOBFwUPbgROBrKdwNXSzBeoKesHLCtqmRMhQcFL8JPw+boHsqZ8oyEbRL3mUGSX2Wm9NBOQYjJpJigGquPUjhWVmC8gYqReeju2Qq6WYQTu0S5li1GgM6dHubscE52hmrWXEANqYiiH97VnBeG+yBqCNgrGF5o2BEIAOOU9C38OaBfmTs6MHPuTKmwjCw1/70VOdlMiAugP1OrDPaE87RlmmjKl6Jx73l7vjsrPrDU38C6o1N5nWijWCmayP8h9M1V3FMhthyg8+hTFXKUspFnDOqhW1NG98eCANVbbbLcesbZdUIfGXFpfs+Qy1YxppyURqb1lNdS/W+Sy6CrZmY+kXs84p1V5XefGiXrKNiqyOqCCVGquMhbv9dpzx+s1fXarBYgxhd3QHBrUlDHueFSgNoYm+Bpb4pktY8rnG+c6xtjQEKp2W4YZeC6e0Yb1fysfSpGOzpWeJyInm0koLMv5YWjnsB4HI5LpavpixaI53ywTk4im1UuEKvcYta9MSbtQXqQb6tNh7TtPBv3liM6N7QbbDQ7Z8W5NiypbG10hH/dArUWv8Qa7tjmk2kxNocgqitwuK3LbnLenGXI9lfChF+W6Ql6jkQiWz1OS3AxBt/Gl0j21wLSemf5NdaTa2viS4b1ebFavsXQ+nO+hhWgfGGoWLOIJBWTY9uGQbOr166KiBB5B0H/ovTF/z5ahqPlB/Fxolg5GB2jzppJuYanuWFSWQsx1YAS9EFmxhc4vLHz5IzSAYqVGLGTF9lEmu6w2al+eOChQ+E7TsIMIoQs/GlzsISZ+zkuB4DsZhTRxbduE/cuakLTB34DxUdk8wMYWMtKQ2kDwjkXTkJLNTaEeykGwjAK+OKKyIx4KvH6umyUPRs3IwhVWRmSs0Dw2ZW6O/GKKvo3wGwQXKxxscB8cbnppcKTzsKURjvnFYF9WcfFbfNmwevmahSWx+Mc46AgPtnxGHow8Zd7GqdJNjWUX8Fqmm/wK0ZkpudlAGHbirR/QrFL6ZNTwwOd7pFf45nX5QW2n9sPwbVhjnrAQqc6v7dYORiMIIWpYjAKL4UCi5Hh+iblQHmMFKpRIKQKH+ll+Qr/MMVeYhm8HIxaWZZ9mJA7zHm7Y7BscYgppp6KHquiw6+3Ac7sK795yFL4cmfaOBqxNg6AjnrGZ5hQCnONg5BXoFzn7dj4bcfxYMoJfpDqOJ+txIO+G1PxwMBqK3uKAcrzWAroqQaGHTdj1y8Phy10LwxoJGP3gJGDMlbbg656KznkPmQRL5fa15nIROLAzkQKH3jaXW9p1bRvEQEk21uLCPNyhELWVjomrxwdhQe9W9Ffk/aAILL+sTZAUQpxYkiC8swwP5hz2DZPwYEkVC+NiDLn2efbIpK/MSctErrcDDubZ8XZN+lKvhy9NL7eD8NrF1U4IZ8E+Vh/l8/OAYkkai2UlzaLUuY99A3MQMge4Hte2hfvNmdH9dBCI9ZC4F5jV/dUlLjR0hX7ke+CA4t+232rBWNsjcyXvx+VaSPbHIY6CtcOBIHY6Y+oCw+7+NisJ5HOBb4nEJH3/2WsGiYxPtKV0/btmiXydLFmyZMmSnYfW90AI8zO+xoVmF94TfwIN0Ho2Vw8ERSq9ECkIwO4tBJgVRGELocCLgXdC8jA8DHguKEw6UbE8mpfeIEJi6IR7xTCHeB1dImJlKI05UkCbFCa3opJRKA0p/Xht2ZfqXTmCYB5PTDBU8ncUSkNRSJAim8zCOR5KQ0hFw1fhuXuRG2fqKcPbntG1M1IkUIyxErYZUnLEyMNLZlmdE21p1yz1vgXSBZE73AsFSjVV2QuoshyBP0OBMhaKGNRrVqqChT0VNumB+Bnh1MNaRBtY9LZnqBBmQB7RjCD9H4XSnDCs8g0e3rDyDotM1kZLokO8nLUVXrJfV1Ez9fBDiQKEZjA2CKVZmGO7m2hJkCiURvJzVFgVoa8QSnMhPKQhR4iRIwMeSuNcMUQT74UYIy9nZVMCwdoQRaA4fZlLs6bIQ/CcgTy4/MTSkLQe/VZqCRdG4DpFQKejQOTGMwIxystWw9NErrTvFn0l7axkKBUhGqJJRs7dXgIOtDtHWdGOGAGB8TIOJ2stoEtyezOM902LjRBu8bHz+RkKGKOfMcaRVAbDyy5x4aE0Q79ImIawIUjl3BsyubXd0HZyWWo/MZS2nAxhWYaphyLCIU3ch9fRYjOIR7o0AEU/pYtCaZj7Or5ODmcIlKKrPZGSurZQPeYAkFrbQ25utgxVU8SIUywOpRlidKTcXQmlXVcf1ucF+gJkGYgMQqgWDvdyQ5TvwBrDeAIxMkkRfs4EOLmGTSST9/BSMUbI1lR8ndxcH9g/SFlQpI17oIXvbGqGkLHPZdIVDDHyPdTfG5PdvdQRkhICQmbzytcS91lvq+8/eU/KRbK7t6URSpYsWbJkyc5DA2cUP2d6jQvNEmJ0gAbvA6UHgvihk68Rh44IeTTEw40HwwKl5BgZWmQcHniwe40iRvQg4bkuY8Ro8Ipd/C6kaHt8PJbYN7SJPA9P/4eX4+RrAFl9IU2tXCS+Zl5yIHwH8vVQyBLFQOH5wRsGAkTy9VJJwIpkrZKvb91b0/YUGm8PKdEoPDtScT1ya4yT4PyYQBCuHVFTYjS5UUgqNY4RC7fCSwxcowExkggxwuf5LCSVovBuT2I07wFOhoN15l3D490zSAeeN6g6zaKgx8/xjjx1cIE4bo7O2bNQSHApLHYaOC9eEgHikl7TlXwOJWPH4nNAoJQorB4rECxcD3Ostvoa5E2EQr/KCVIOE9An83A7ka1yriib943xLNhmcEIMsaNsBEpGGPkaCMtQpkM9cxB3+6KQbtoFkr971W5II3e+Ql2X0teK9lAEEXymtZF69YaENtOMnJ1+CRRBCe5IuyfPalZIva5Iq84PvdGsrhSF9YLKQAX6WvsIHJaJzgu8dnKpfCSWmyChXdt283x9KBNB0v0gfhkEO8ExMmSBKJzx9SC34cKQ5IKRfG0FiIkYGTLRZnILECMiblbAFc8+UmK683b68VBo1xHawFO09jlJmN2NIsss6qxrhHMGyBHlNoR8I5KvbU47iR4ikUBKWlv7XUCMtF031ECMdL6eaNb4GhNEJCqF0/RyUbFj8g9ZSLTgXAACCfI12os9bKHcMCcsg9zPfxuSpGt4QKod8QkcI5YLMWTGSgBxLtv7gSizXRH5mn2BNe0lRHJIQQw1afy62P84FraH+hoO0iMRggsOXChQbehXzPt0OZFhrQx9fjYMiiNnzjGSC87SwShZsmTJkiVLluxcPRi99KUvlauvvlomk4k86lGPkne96123+d5f+IVfkAwlIqIffC62vu/l+c9/vlxxxRUynU7lCU94gvz93//9XWpby7IC6lU7V8jLJgSOEczLCtCbM1TEC0XyM5YePlIPmEbvXXk8lN8Hb8Subxdd8WoYk6caWyT0CK8NYFKXhywoTzWGiCI9QrASEJc3zpK3O6SpBrHGgWMEUUbE+dF+cKKIGDX2u5UUYZv4+Ux290yCwDgOcVba4ZEWEmUmDZAOeP/7HCygRPR8p5rlg6y0OThGzEKydH3jbznvw9E0ogmgsiBTHUlJdm9FjIBIGDIQcYwonIc2VF3g8RA4ApdhWQwcI89KA2JkKb+exu9ZgLgvfraqBa8fZ6Xh/isco5GmMDNDx+vZGv+L7e2R1TexrDTNFNOsNEwe42aAe4HCuADvVM0gCItSgBP9HkrVqMfLDEnMFRPvxGsTCEuy/EtGTlDgGJkHTZSqhGpkQ+QhlmBwzx/PjQwqcqXA5UIJFxazVcQI6fkSpeuDY1eCwzHPh+y4hXKpsM4wfhCb9JIOuO5soYgRRUatDM1eDxFRLVrsJUyAoEBqgb+DY4TnNlmIW+cgrzkio1IHjmjqWChSQYkNIqeuxqklYjwlH29C5hpRWog9QtTQstLwfDfXm/oxrG1DJYBo7dUjosich8gGjLJNvcSOZ/fxMxHvCEVgnc828JSskDQyv0a6Nym62ivHxngzKA5MTg45RpbabvPu1uW6Pse4l2ONpet71rnNJ3CMLilPrnCMbppvGmKExaXoFxBAZJN6Wj5RlhIFkBUNdo6Ri1sGcU/nczl30lFRIPJ4Jhb9HZA3RYwMmbfraFbagGCzIHK2ioRj/wvX9+UYCaCG/RC8KoiUEsnCfjhwwGKUyIvc+l668D39LBiI1wfxc6HZOfXEr371q+W5z32uvOAFL5D3vOc98rCHPUye+MQnyo033nibn9na2pLrrrsu/Hz4wx9eef1HfuRH5Cd+4ifkZS97mfzxH/+xrK+v85rzuSosJ0uWLFmyZOei4QB9ED8Xmp1TB6MXv/jF8qxnPUue8YxnyIMe9CAeZtbW1uQVr3jFbX4GKNHll18efi677LIVtOglL3mJ/Of//J/lyU9+sjz0oQ+VV73qVfLxj39cXvOa19zp9kGbhPUnzcOhVwEvATHwfTpGzu0IGUtEjDRGrllpyoWBNhLbCsem7AKnRnVbVgUeA5fHPS3XMXKPpjbOE/kwxh+xYreKVoFjBPKOevWBx7RPx4jPVAyaLuCfUKq/NQQIXIulcl30uY3rY21u9pR7pBwjFQP0LJ6jo13TcVIui3I8lP8D0xIGxm8AYhT0lwaPj+3im630SaRjlDnHiBwW8zChszKyArdzy0RDFs8oymiycg/MonOuAmxhiFGkGcUutLIZnpWmvA9F/NDmjWquWVIjbRv5KcYxcu+UmTr0niOOkeniuDYWOUYoKVP2QceIKEXQD1IEjeJ6PmY2Dw+Ve4P2Uzwve/O0jWNEiaFqaRwjLdDKjCwfWnI1CurejNZqatH4eA6LTTMI6X3i2cBlAecIZWGKhs/YTEw/xsreIENrVDWSA1lC2QxmpQF1KqTcQ1ZiJz01cAYkgdwlatwM2WDbXcusS6JOkzagFDNoUBnihfF2hHBnPlZ+la/PMuYYDRliRFic02ZrlDwiIhemRWWcsFBQ1kpLgHcE5MXvzzVJpKNnuzzDsRyjhoYPjokbDhVvVNss+uIaTfT91DFi+QmbQ0CMkJVmKBA5RhA4tHHk+4ASLh0xMo6RcXtuWa4b96+TbROgJF8IiIKhiihce1G+t6JjdDPQN6I5GcvREPVeanahZxOynAlRZ+f2WWkeE390xMcRT88udeQOWbFhD4mEHF2vyvdj5/8FridQSvCJXIjUM0ttXP2Nzv9yizl/LI4bXc/LnDhXzrN6+TnbQxfW58nuvnbOHIyWy6W8+93vZqjLLc9z/vsd73jHbX5uZ2dH7n3ve8tVV13Fw89f/uVfhtc++MEPyvXXX79yzUOHDjFEd3vXTJYsWbJkye7ulpSvz/OD0c033yxt264gPjD8G4eb09kDHvAAokmvfe1r5Zd+6Zek6zr5rM/6LPnoRz/K1/1zd+aasMViISdPnlz5gcGDLOZRBpUpU2fVUPDRPRdqbpjGDj2zFllpjmCYN1YNHp2jO44YkRcRc4zwu3nNNGS44RYRxwhICx1ei9cHJVkgJcYxQlYaP+sIFytBqKe6kpWGLDRDkuDVQysHXii5J1TS1jIRrtLNZ/D27ZaBX8UMjai4J5RzeTvjjfSn4xgZggPvH8gUXODaMpnwaJVnXhla5Pd3jw08CSIEa4aEMXPQxgXXs/c638c5RvB4wW9h1oshTPR+keGi1TWDV8pMIfzdyza4VhGoOkstneCIkaNp5Hl4Vhrmwagj7wUIjc8d5a4posbSGs2YYwc0QPseWVsDx4gcMCBGptAb0KdOZDO3rDQr6aBIo8LvROXyQSMGWXQ6hsoxYrYV/6DoJfk2RSZr0+XAUQvzXTky4AcFleZlbshfr4gRrjk1dWLPSpso/ygHbw/tCFlpBdcZEEMiDKZ8HbhLXsnC0IbtvpBiYcjJCAQ9fW0BPR3TdtLsUW3a3gxZYUNGo2YT2txDeRxHBBwxMk4b5hY1mTwrDYiRz8tCZFrVqhdm/e/K29Sv4nwR6SYdeT+eDYhCrLGOEdd8rHwdZaXB1qcLQydXdbW0CHSniEmX6/4DBXPjGLHoMcYt2iNMkoz3Pb7Q0j3IktuuJ6EkCPWXQnmiXi6hivnAsTk2WwsZY8jYY/blEgVqFcFy9A5cMo6PzQm2J3CMlEPkyHcodWR7BrNiA2Jka5x6RUBovZSKzmcfY9eQA0ctfO97WR+b+yGz93Q6RtYUcuBWuKPDHk/V+6iUkpcEWRpKdTYscYzump3XT/yYxzxGnva0p8nDH/5w+bzP+zz5zd/8Tbnkkkvkp3/6p8/oui984QuJLPkP0KhkyZIlS5Ys2blv58zB6OKLL5aiKOSGG25Y+Tv+De7QHbGqquTTP/3T5QMf+AD/7Z+7s9d83vOeJydOnAg/1157Lf8Obx5iwl7bx5GQYtQGLzN4HZ4l4XW0wDFy5VZTi0a9Us8aceRDs7CsPlOsYxQVNwxIT8w7smwutAlZLKFWmnk/+xEj1zFy7RbnNYXfC8vA6UQm8OrBf0JWWlMSlYBnrGiQ6uhoA9SbAj+EbUZiElSS2+E5oJzrqs9UsI4Udn22etHU0RTZRtqepSinBIiG82jU2+8DDyAgRpUpHQNxCFlp6rkT8SPXxjhG1HyBB9pLWbUhG4uFgQESzRVB4fPgPq6WbBwj1zdiW8h5UJXxQ+VMvdrR8BnwKoIStiGNruniKAHrXIX6e1qbDugcdGC8cC0RhKB8rYiTFxYNytdAjIqZZicZj0jnpWelDRwj1lUDYmReNrKrwGPy61OHB9lhZS6HJzMiDzHHyDkeRPqMy0GkDRyjChyjmu1CFlpcKw0cI/DXiNiZFpijTuVMJJtiEBVh8AcAd8lr8pFXg6y0rpK8Vp2cCpwd8+xZkBljaMrXjia0qJcXisgOiBERK0c9vRC0ZaKx74AY5QNiRD4dkGD2sSFjVqyZOkqOGDErzYCGUct2OVozHdcD4un8pliN2WuGmW2N54Z2ZadkpUFzhxw2coxUAZwq94ZaIRORtQdXdIz0Pifnms2LLLkdZs0pmujrkuuIHKNJ0BvCNYG+sT9qZBgq+oVxxxomCshMW0Wd+cxAa0bWpyv6Wp5VaWvBakVy/KqWSNqgfD3URKPSeFw7MqptRp00Q9b5b9dqY0Ymrj/Uuws8PHSbzwEUvaa+13C9UDwZfLyoTp7z+rCHQq39bBnJ02eqYyQplHa3tdFoJI94xCPkTW96U/gbQmP4N5ChO2IIxb3vfe9jaj7sPve5Dw9A8TURFkN22u1dczweM9st/oEBlsUXKxdKlK6vFePj0JSlz3oozYT/nADtoSpWkPcvWKYVI+Rlhy0SnyNYnf+NUvPb04XSPMqHhW5kYJKvcdjQQwJKgmgxRjsIWShtpYisbUzcIFClvVoSJmcoDeEzHDAWEP0r+cUbyMmWRl3u2iaFUJqldvvBCOm+LrSGA4ceKoa+J/naQlvTyVL7o1VxQw+d6KZqpR8s1KFjYuG5saX2r2nhWZKZSw8pejr1vlAa0q3LVku02MZL0vrCRBOjvmZ4g2nAQ5kBD+t5KA0HQB6CIOAXhdJYssJDYCM7GIXdVsMgfjDCf9EekK9zO7Sx5AIPRkY67bQfITXAaJ9PwF5kK58F8rUfgHlQMnIu+4qkZ5HNam5FVTOpitZCP1ZkF1+wKIBcZnLJdJdfsJ6u3kfznocatN8KyqrIYM/SJEq+HkopsP8nItOy5udAfOchbw5pgJIHo/FaHUJp4csKRG1zUnw+nETZlCXWU68HDYwbDkJ+MLLDTDiAzyBWaV+gFsoNX9DhBKmFoBlKs8Mm3juC9ICFdDhO9rx4Hw+APr86FZjk/MLBkp0kUoxb6XC4swMpwm9OvtYkCCMJ27cx1nAcSjs8nusXvoVBC5QEqXrhkjDZBiVKa99TzNBDhBgTts/S9a0MC24FQjqeB2RwCFB2oYisJhdkPQ6bnVSZhif9sLDc0+QKjDWI6ZQ3WJpzg89ZKA0hUzoHPAR3w2GzjfZTm3JBLJdzPON19WAWOz/aNzwsWchfSdk2VnxoTYYIcgC2VkEUV0mLfQeCcAIa9ly0mwcvK9AcHAIv1eLFbz2Uj7ApDl5nyfoDyEjrL8CD0TlVEgSp+l/3dV8nn/EZnyGPfOQjmVG2u7vLLDUYwmb3uMc9GOqCff/3f788+tGPlmuuuUaOHz8uL3rRi5iu/w3f8A0hY+05z3mO/OAP/qDc//7350Hpe7/3e+XKK6+UL/uyL/ukPmuyZMmSJUt2Juaoz5le40Kzc+pg9FVf9VVy0003UZAR5Ghwh173utcF8vRHPvIRZqq5HTt2jOn9eO+RI0eIOL397W9nqr/bd37nd/Jw9Y3f+I08PH3O53wOr7lfCPKOGOBaICXNmpGuzWucjBppo6KeJCcDyrciipoimilR0AQeAScjrRyhAdYLBUIDgjM8OiJGitYE8jVDGoMQnAq6KcpEs7/Rc3LRMRNM0xR49aoWKPxqobRYlCwgRoaCIXxCTxep3GXNcA28M5SGwDURmpsj3OJhP0/hJWJkXh/QjaYQ8jUNMbq02KZgI8jQVdEJHNqYfM1wF4QC10UOTeeyF4UAneRaoXPNgwuEY4Pg2UdVx7aWU0AWIyUzh3R96652CK1gTNGXk6oOZHiQpql3uDRExlA0vlZG0L2TsjHOEBllKK2Xw8Wekk1BzLfxBfLQIbSWKYoGFA7XCtc3wUYXAFXEqJR80ZGAivCWCw/GpHyS0a10gZe0wOuHHTHaF0oDykH00gj6eG2znPPD3r87iPOG+Wzp1ECMJts6ly30xMvauGNO+CYbh1PWippzCWVW6O1D4BFjMuk4tzAmQIz6eUHESENpvWxO57JsNzQk44RYhIs9vGQoAQrtFgvty/XRUk7mU51vQJdsfhBBwrihnRCUPGQhEgo8miArkBabR3zNkAUiaAZloG/idH0PpaEcBhAj9IGHYXaWY9nsFXnlPMkyost72xqqYlHl0SIgrp7UEURcPV0/QjYuGu9q0eDcCNwMpWn7EVImkoKwE9a7iRnCGAKklMSASDm6RFHCeSXIExgDMVpqyRJKirAkiBW0bqJ2+kSboVMViSS6Yqg3kVkgWtjTOg2Zcq4j27/qhjXswrhxKM0QdX8Nn60NdQ7EeEvX5zwmumchNUNAQ2zL0/kdCbdwt5K7hzUc0yAo8mnvB4q8s69kS/g+YOcPwq9KDB/C7MnuvnZOHYxg3/It38Kf09mb3/zmlX//+I//OH9uz4AaAVnCT7JkyZIlS3a+2EFklXUpKy3ZmRg8Lni0Hv9WkqXyBIJHHqVF05Mx4T3G4b0AoXOMUBLCPDp6P5YST0G0feRrRXH2cYzgqbm3aeiGis5pqRCiAS7wuEScHlydQuPyEZnbvbRwfSNfk5eA0hLVQkaVljtAKrXygDr1lklYdY6RciSqPWsQRAlNjNBj85cULvCoyIR6pv5QjjYoynFkPDPOVS9LR4wy9X69z0iOdcTKnqEwwU2klju/ycnUGD9yYIAgjK1wKdLhi56eqafEkwtE8rVyTHi7iHwNLpDyZQyJcPQKY4d0fSBG8JCRPu5FZMFVMc6RyyA4CZ3jYJ78KseolGLZkdjKNH0XN4w0AZnub+UYSGh38nW+HDhG7uyjL4woTbkBeOYUg5zZGKogIwn85lWz3Zauf/noJDkaoSSIZy+TY6Roj4s9Ev0se5nmS+UpTQZhPLaDiNFS32uePpAf8JSq3V4OTx3xUq4cxwDkXSd72xrb7caS11q2BghMQE9RMJjyDso16x0hnA2ldLQkiAn3GR/IURTKWkSComgDiOlxur4/C64zBWJkRWTxtz0TmCRaZqRhcqCWVgDWSO8k9UZJECtcl2I11HHxaGfgGPkzgGMEhNREFElMRzvwOiQHjCjNvUW56YoYGc+JSx6EdKDDo6XMUajXEgoCMdnI16FdZvlM0UtcG+gKuYlAjJiu3wVeDrhkXlYI6GdI13ekyEuDOHITpdMTibL9Uzk9kXgt0R8TxrT91q/DPSwiXzu6Q8I2+iaaw0SSDOkLPDOUyimNuGkket/HnCsXOIYRx4iyCGfJzryAbHZBhtLSwShZsmTJkiVLlswsHYwO0tpMytmATjgfh15qSNe3IoQUeIQL7GncxjFybhL4ACMTXYPBu7GsKbzOGLyhB55V4WVCYER9ZBUx8tR2FXi0rC1P11+0A1fHOUaGCNHB6sBxGjKmcF2mkQN5KOehQCY4Q5rd1envEG/zrDC9JL19/lp2zGZiUVzPSjP0DJ4tP7dP4NH7AIjJ0fEuUQiWghDl5VCAMOuiwo49s1ZiscoKWYKtyOE1RRzgjZLvY9l0/ozgZvCeC6Tj9PRqPU2dvA2+fyizAU4QxxkoYOSJKqJhiBmeddnL0XyH9xyPlMviaA4FCM0rhieM93Csre+YbcV76L8hiQB0DuhSzDHyecb+Bu8FWWn5Kj9i07Kx3OPn3+F8k4Nic8c850PFzNqZcayBSvl10A/gGCFT6crRMUVjHP1kB+r1gca590meCVALcowWipogS49FUY2XM+lkvVxqH2MMgX7NOuUY7bVy6XRHs4rAAfJbgSNDuYwBnd3upkREMS4o3kteXTugS4X92zk15DQZypiFrFF/lAiVJcdIeUWelTQy9MkRM/BJXN5inDecX8o/zGTuiJEJhOIaQGSYFeUyCeVCEU8iUhgvS6HnHwzRijhGl1Ung5Bi0OAEMmPrkHMaZWJYQwcLRz+LNeO8r4D02RzjP+f6HOBoQUKEaJJxjEKR29brEw18IEhzOGIEdEXT9U0eBAiRZQiCS0ZOZA0UtWE/8hGJ+hmvK87u4rzUPsN1HeX1MWf2WcQxIm8Tn4cYZJxFxqw0RYY9XZ/ZkhGniJlZpxF4hLHdjhiZuKePje7lij4FmROTRThblmqlXSAco2TJkiVLlizZP20pK+2uWUKMDtDgzRVz18yx7K2uV55AzDECEmN8GHiBXizR4/v0Ck1vx5EHeKbw+IhomDaNZ77pG/RaepMhOyIUVHUUyQpb0tO0jBwtbdEExMjRJs+yGDhGSpxQbSITeGzh1S6p3wIvFGgFPfBFS/E4IgUrWWmZVDuD7g84VJ69B7soX1e0BhwjIBNWrFI/kNFjJ+en7OWy8TaRKdUxUnRKIo4R228evWuZ4HlZmLQVuWiiRVQdLaCHOzNEBeMz7gKvhdlTZU2EhsiJCTMGxAi/h2KyQykDIgFWLNNLwaDNhwsUke1lOlKOAlEl3H9s6EMnfI1CluCtxHpVxlui7hQEMpct3wPuDTlGJOr4fMvYH+SXROKXRPqy0vRsvPSDji05KEA9jKeC9x4qlBjmejxEpSIdI6JupciV1TEtPWOlEUgLc1RyjixGRbwGjlEna/mSmXPOMXIeVTmpZb1YEGkCh4pIx1yfk4jReNsEKgfk07191zFCe1FoN1u05NocGs10PhO5y1Z1jIjS4B5RNifGzQokB76cizGaBg7nG9eyFcQ1ngnnsWelFfqcGHt/rV6oX0relyF8m6NFKK6L+22V81DGJaAOLjroiJZpG8Euq05o8eVckTR+joiRIqeDjpFmuUp4Bs2mY1FmQ4lcx4jzFogRUMbRggKUA8dI5xyfyThG8fdoASFOrDtDhSgMCx4RqF7gTBqKCi4ZRFTxPnCRQp+GrDQrLeNZaZ4BRsRI966gH2U6RpzP2FNN48qzDL20CBEe1zEKSJRlpXHea796EVnutyby6XwjPBOfPyotEwRAXXMqQsu5JxlKl+zuawkxSpYsWbJkyc5DS4jRXbOEGB2gwcOARxs8HUNCtqrZEJ82L8czZpBt42qrLmnvhVfp6VnWCD0tIEbwtFuTzLcMNpqhIeE+hvp4uQoYvUFyjNS7da0feqKGGM2hYxR5PXwG84SCF23K214SZKuYyRieMio0AAGCNzZvKX1PbkOUlYbPjrYNLgNq1eaKTgz0BDZwyErT38MzZBFiVJ3UchjMSitDBgv5CcYvglfIbBjnCMDDRNHbVuSyyckhKw2ZO0DlwBEz3RUUcVUEoSEfAl6tIiXmhaN/gWYY3EUuk5dS8QKULAlirqYhRmjzYTwbrlktV0ooQMfG5w/6FJ4vrx+qXgyZLkSM2kLyZcOMORZyNZ2UQcdI+4PlGOjcD2O4kauaMRG502Sl0aO2jKjDyBa07DlczzdLoj+mBwOO0VXlcc69/HRZaXNkX1kJCqAGzDbrZD1XjlEXOEa6BqaTWjYMMaK6Mbz1PeV5lTtLucf4mK6VSMfIOSVB+VpEdtqJzu+yY/Fe1y0iuuTcrqgkCCSbyGky1JHoga+ngMqaerTPN+MAjQqdW46Cdq0hxwW4VEvlq3k/Q3k7zkpDSY9qIQWy0mxMDld7Oq+M2xJn+2lWGjhGwzZ+SXFSEagoKw38MjQRyIrr+FDpnkWNI46RjUmsY+RIZYlMPSBYoznbTZSbHCOd32yXi7V51hc5RrY3gWNUoNONl7fQUj2K1qnGExAuvq+q93GMbN8yMXmuBZuXMKI2RKUM5TG9In2+gWPEe4Nj5HuJK2NHiA7V6U3DK6KTDYVgo6w0/GetXAwco/06RoaOxsW3WU0gLk77CbaUlXbXLB2MDtB6r9dktXGc5Ee42b5UYhIf/gx5eIaLQoVme80E2UINKNs4WTi9GL6UQoiK3EeDtaO/hSrZFsrB701TkJwa2kEyrxIqG097txIVFPlzQUgj//qsmS0r/v1Ys2ZpyRo6YqiuyvW6VvsqHLR40NHq7f58XtMppLXaBjVvPC1Y29+sVyHdGwdIbMrsk1Eux9s1bv7tKLP3ZFpaoc9Yvy2cB7xUCgQ2eyu94GU8UO+rGtKPSRoGkbXMGdLElwcOIvqFO5QC4REJ9dbiTRkEdgroeZhjqI3XjTK5vh0P4TGSmnt+4QN+941UQ2OW4u7zxkmiVj0dBHcYDpEg8+LLjAJyUbr+HpVEh3Ah+zsTOdGhRL2lEJ8GO9brDDW3GIYdIz2/k2ZZSjvRCU2RviUOuFaaBedfF8qzLzQXFGUo0tqOA21m6fQnZxN7Hw79WsICBz2ESAOJmKRaF9gstK6f95/N8yDuF9akyLF6TfpRybmL+7OPfYytthxrf5kz4muJcw8HG/sb3rPAXIrDTCaQykrzTc5yJagaY1NwSKbILNwbyMEissBBVuejlljRkFZcVgKfgWjqaoV2W+s2KJjTLmuBki8gxvv7b6nX+dy+nn1usQ4aicDabxTVxIEAbRmLNAtdG0Nyh5UowQHG5iDESfcwjy2M2q1bPTXbWxDe9UM8+gLSEh4GxhrAH/Uw7yeL4bBzsh6v7ot+0PSkAt/ffH/h3rbvC9xLtUQhLZaosXsw1G8HLwqyeog0lLHRgw3I5i7SiDb44R73XnJztfC29zPGw4niJungew7pCNGBK9nd01IoLVmyZMmSJTsPLYXS7pqlg9EBGmHq3LxPFmmF55BpcU9LyVbkxT0klPzILYTgbgq8JrixueSTBv8xQUhDR0ol86p4mHtP+lmWZXBUym7BsAjJv+YxATFaAvUYJjs9zDEqeqtH7eRnR5hU7C2zMgvqDRGJqSspCpFbl+sq7Ehyt3qB8OgdLYDH5V4Y+ggID4ivLAwaIWwxaoG2ovSAhtsUgm7WSsk9TdyI4vT4x7nc2m6EMh5EdXC/ec4yFbNFFfqqrQtpSS7uFT1wr9TS3IE4Mb2WqJAhZgW86ZzePBAaovxAEmwI6EHW+VDME4gRy01oqNDhf0dm0N4P1RfxGl7QF28CGkGkgjIBGdEHeqVIw3doP0IbMc+IJmRKvq7npZRAjJrM9Qn5/t3lOIRGKMZo/X1zqFOzKong/Y/rKJoompYNFEsLwku7zKWd5IMcwAJyE73sdiMrVaFhGg9hKIKCZ1IkIpSbEJETzZrs7Y01eoEyESxPIVLXigoFtIQlU3JNIR4XRCv8GZXkjmezMFRkx+s16aaVVrRvJvpeS4f38fMSEkQI0be1oi6QyygmGkdDP2DOxKigh0C5PuqCqEg71XCcI1keptxrRyy2yuuOewpMAo3E51l02EJaKuVhc7IvWOjV1xyj5RRGtXlFdNlQZ0efMIcM+bhpsamvG8rsiDKQUf4TkgWuIWthSHSrF9jFHA16kgzLavyQpW2qTnbwZhbgzaTdsvEwoBvh3bmv61xkpx4pAjkSaVDuKCSCAPXRPVI/nsmJ+VSlBYzgr8K3mSLWERqPz6LPV2Q9fJ3gffmqdAM/b2n0TPwwOYAgeRCl4rvAI9al76tEx8J7tYhzeLuj8wgro/ssxMz5b6KeoCPEt/hEm7Itzuxg08uFZ+lglCxZsmTJkp2HlhCju2aJY3SQxoKw5o26txLFoV2m3oXJmHK6cG/PPCCP54OMDbff0IRQ0BDxefy43LxzivCWRtEqeijmMcK7YQjeCJnkuLAyqxWrdYIdEB54xGyMcUCcF2X3BcnTCc7422KpntStizUT5TP+AhEjRRMCD8aK0II0CVSGBExwU5BabN4Ybj3rVQyT3thCOUzq5YJjVCifgDdB+RHcP+P1jjXrJF/CG2XZDnQbPPIuk7oeOEZAAFxAEN6eo1QYC/zdC5mC/6LkeBQfzZlCXWVKHmaKuBHQYYoYZUNxSEvvdkTQU3sDx2uSyUeXF/E9zi0h/6YuSVh3To9zS4DGeTHXYOaJE2nIFWnoFgXLyAAhiHOm5+BIRIgR0ANc78Z2zRUUTMxvSF1m242rxHlj3KHGaivjuRpDjMAJwngChdtDUV67nguW+jrgWiBfw/hOhqKdbKfS7NpAGGJEIn+N8cazR+gmkE3w2MaFzlX/O1AgE/Xjs0ScvZP1RDrwodpMdpqxcm4i/kwNxMhkIVCihf1hHCN4/07YJUJn6B3u5SgoBUXx+TpXxAiyAy6wGEjztrYCx0gFFf3ZfO6EIrTG8yOqCfQq4nlx3CPeHvhvvDQesc85J/zet86nfD2IezrXsDLk1eQaiCwbWR2Il8yNY+SlizwhIG+IfuC9VdUQgSOnphSptxQ9cX46BFGdV4f7z+qRCYEqVw3jwLaS26h8Oj5in8n2fKwlWgIsZqVwXKjRFrQjqoG3FSr82rwgl8wKCseoK97W5EqgjwrG2q20bwz5wpz1NH9PTvB7k7/ot0XbIFKJeR/xipyDhH6J5VOS3X0tIUbJkiVLlizZeWgJMbprlg5GB2jkOIBX5Jwelt3IiHJ4PDxkRhjnCDF+l69fCQXXGYt/Lr1wK4X3DC3CdSLESOX3LQZvSI9DAS4wGLLS4FUtkdYyiMIRVSLHSL1aT43VIqL2Ht7TizTq38BVgkd2bDEl56HsNJbuiFHPwLqiGuS8UHag08ympWgKuV2bKEyJ8g2WGgNPHtwKlkyBMGEv9Tq4M5YuDyQocIwyZh4RgalEy3YwzR59n7GdwbsGp8vEN+Hdu1Ai+waZZaOoKCZkB4gYlVogOIcEgaJNzFixFHxko4FPE7gHTO82vhiz0hwK1PFDez+yOKp8Bc/4Q9YS0CIrceHcBswjFNodvN1B8NM5MBhwikDOwZWxciQRxwjZakSKjA7hKOBN7Wboay9/EuayZeqQi+Eco75XNAEfWQIx0qwdzFMK9rXgGCnPhBwjK+qpSKpyYPCMRCisbTAgOvmeTbSqY2YV0D88G+bjwDHSDEQuh0kuM9YQGZ4TAoGanbX6LCeXY2kMMUKGHjx7Ao+GWJETx0wyE5Jkv1o2HrhlkAqwsSP6aSgIW4w5Ypl+yPACwkOOTkCthrI9urYwbireWhwHSquipV4suswsK83XQJ9LHzhGnraumWh8i/FYiFg5mMo5oYN4cmGIjnFeiFLjfpahSJmCYuAYkTI0VvFLLYUycIxYpoYQiyJNKBy922hWGtbdcnNAc9FYCNvG+94MyAtQIoCKlnnnKDcRyYgXuVgADQby7Zwge3Zrj+9nuDa5eI7IW5YtuViGxJIPSDTHuES+hsCBO4VjFC8C/eE+ZPssk8q6CDEC58wWDPdR4xgF3pYXsbViwpRPOYuknXQwumuWQmnJkiVLlixZsmRmCTE6QIPgGbxi5/nABVKOEdxnE/qyeLN6M71kM2Qh+QWGeDS8MHoXjgi5jhE8Q+MYhcKKnpXm3IKIjOLS/lrE1PgXy9UyHORsVMqzYFtd9M+FzSyLh56S6fuQs2KlAXYWihKsuRdoyItzjMCRcG4SeFPwLoEwsESBX9tKMuz1VjASt1qA9AGXTQX86rVMqn1Zaehv3AtcB5b2GCknhyKUQIxwfSBkrlFSa9Yc+DDMFmQGmXqhQLpwLYrHuQAnvFbTXSrMs9fSA4piuU4VrkstFHzMiknSqzX0JqCERIxEPj47rN4kO8U1rQrltpDTUii6AqTMSn34sHoWHfuWY56rQB/4alMVBQ0laNCERSHVpBmy0gydvL45PKCG8U4Ql7wwfplbOzHRwKXxsXotucIyGq1qEjmiQo4Rxp2IqM79BmiGoZpegPZEPZVyx+Zu0VNEkX1TQ8do0OTh/YHokROXDRwj49KJIa+xjhHuiay8cqpzcJeZUUMZFI6fZaXhsyjqS8CF3C0tkYISMr6OWnCkqOxpYqrMSlOOEfoLJVq6Cfh8Lr40rDMiXIaiQhsJqGnIFrP17UVVudSc82eZY14qhZmdJjTKH+MYKRLnmaM673ZnECWKdHVs7NuQlaZZl5jDATGaQqBVywZBbNJRFNx7YjVXgOiNq1oz7QztXW6YeKeVT4EgqmfwoT2LpYrHoq9Rb5acHEO5VzlGIs0c1ZNtv4z6MeioDfqp5OJJPO4BWTXNLtdsc+TGuENcJ5bxynW6fz/3kiDkeNm4UcdoQIy8RBD/bRl2LvzJa4Tr6+9eNuhsWUKM7pqlg1GyZMmSJUt2HhqpFGd4sOkvwINRCqUdoDHzCzpDziUyRGE/x8jRH/S+yv8b78Az1ejNZFoKwHgsWsrDru18n33K184lcI0PiTMlrJArPEst8jnwUNwDZ7wePAgvUuocI/OwXf8j8F1MHXdvPlLeDnghaCOyu4AYQW+GaBDcOYUvCnB2RlpyArwY8FMCOkWOEYWTQkaXF7ul8vV0UJ0NytXwfoEY1VNyXLrAMVJUiu0EYsQPGafLstKQzRKQEvQ/OD+mKeUcI22fthccIyA0zDrB0BgsQwQKXr17/cVQvDL0syN+8JbHIjfsbQQlX0VTgEYp6uT6TlAod2XmWDGdfeUIpKmdo20o28Ditisco0EB/BQdo3rgGNGrj0tNGBKBdmu2kyKUA2KkGWos9gqEB+BA08vC4E/3nOmhW2YhkQlmISF7cChfA32bateGoegCYoQ1oFlpQ7t0Xmlm3yzSkGFZjEqL/QaOka2D3cVI+VBNpmrthlL4+qH6shX6ZdkMQxCIKtWZjK0kB9E+Q2qA6oVyGcgINL4g59TYuE6RYjQMCKVzjIqx8rI8K82LRVfGMXLEkhmtpqmkb7Ts10iHDPw253D5tfzei5nqN3E8LCuN6ufWdYoY6e8oAs09AvwnrB0rbh3vJ2gfP8cSIzWzsqjbg2auW7cbQrNeKMfIs27B1eF8gtYWQGbTa/OsOK9eyy/iWcE+DsiLZ5LZWuDeZDxNz9oMmmSeNmt7LJ7fEes4+wxjrJpRWsJnv74Q9wDLZNWsNCv+7ZmxiAZYVpq2bSjuHETZmZ2qz4XfWdD6QhQGOscsIUbJkiVLlizZeWgUQz1DgcfuDD9/LlpCjA7QkMHkdaDoJRh3ZECMBo6RatdowUJVOl5Ff+AxV1AA3qdjRPpMrBCtSUlq7WqdNve+vFaa69VQddo5RoYqdc4xgmp0F+sYKQpE5CeqOcTmWrFLKC5TiRfaP9QHwfWcj6RZUq75AkTAOUajsiFq5G1GVtFJy2qid7bIyfdxDZZmbYjvo41edwsoDzKPXPlaa7NlksMjB5IFngSQGeMYeVYaPU1HF6iQm7NtvLfpGIHnxdpuGA+mvQ1ZaUXISsutLphxLJxjRJ6OgX7O5QH6MhY5NgPCZcifcT/gmcL7xjyiE0v+UB9QilCgMnCMjMOUaR03PC+L2w4l9gzZ03atZKWhhhg61N+2L5PLaz65bk7HDhJymPiMS0PX+kyL1M6HrDRHR72YKueAj7FlpbkOEGul1SMtNmprSAuaah0vICbM9HTl8pFyJvBfoilsLNA6U622awdDNhjquo01Kwhq7Xx/jEKZjhEeESgI55utJaBAKPTL/nPdKMwP4xiRImaK5ugTZq1N2yErzTktppLsNfiqCmrh6FvNbiSnyThGod+AMrWlopFEuAaOkc81/ezAMeLfMG62Z3RzW8/R8+qz2DqyrDQtHNwrmDE1NMu0nmLUZpzXWietEWadIcsv93W3LnKs2wvt36owKbwiANTSlfuHecOEQqxly/7zemccTrRlnmsfRwiQF+YO+5uhn8rFG+Z3rBvm+l9BeZ/7nu4HaDdlhahjZJ89TVYaEOeAXJuG2X4NpUHHSAsOx1lpTmYDrzEu6n02LBWRvWuWDkYHfjCKUubtcEQycFjMtpFbOj9CEISMXZPPwlTYDHFw8AONfolaWq4VfQyHFK/2TMjcK41qm7yQK2F0D6Uh7EGitEHv+BIGL9RJkB46c7J3+LelvXp5goU+KzZfhqcslObpu07a5qZvXw48aOBgtOxZPR7/DuG/SmS7nwRSbF4bIRP9hAMCQmmhoqimMuOiuNdePeLGgxCNHtIslIZU+jo6mC39YIT3qRyADp7C6UxjtmrhaC8J4gw/6sGIxX0hZElhQxP+wz1IyLaxC+RrEKFPE0qbiOzsTlTE0MnFaCCetzVBQSN9arr+qaE0ji++OFiwUqUEQIAux81wT7ssUut5vapnariTr1HKxfuah4l9oTpex8JO3u8oU8P/GlEXn8HhltXSm072eFqyL1WrSK9fUCZlgWuykPBwP4xdtaO/I9SqoTT9wm/2ka/9yw/39lRpzk8cVCHOSLL86pdPvfCDUUYRTX+mIF7Jcdd5to4Uc7zGflXHZVqphIQXiuXcRHjN0v0RHvE5gi/pYtyspI77IYftxYEbIbtxzUr2CC/qA+l/MMd8LjEMb6ToOF0f85NyG9a3TA8nwdlkFYxszQPMTGUK4rIqLtuB+U2isO0naA/HYGyHNoaCoynXi0xQaZb7U8+q9ij07A4JQmkoM+NCrxuYkJwLFlpEEob1NcONJmTroTQ6gfZlXszgIGAR2b09Xd/EcV2ShI4nC9EOh+9YVJN/CwKPWNe2NoyuoHPUQt6x0Tmy66DdkcBjSNeHnIKFu/lvCxMG0chAvo5CaZDVSKG0u72lg1GyZMmSJUt2HpOvz/Tnzthb3/pW+dIv/VK58sorJcsyec1rXiPnmqWD0QEa0RCGutQr9DIIJM+GdP0hzRfhE6I3hIwN5XHibytEVNyLCqn1kcDjkK5/evI1XzeUKfeSIEAN6oGQCFNirsLxXoDVBeFI9IyKbgZRSZKbDREiYgSP3MTLAI8zrdo8NhYTVS8MZGYiRguk89b0oEI5lMIEAh3EWaAsikoWAJ1p1lC2I1slX1soDQVnnXwND5LjMdN+A0oUrllrWr6G0jR1nH0Qka+VNK2ID8KZJF8vLcxhonDoP4ZQgFihTAgcaWubl7QAyqUE5AGqBzIDdK7ZNU+b8IONPZAtCEk62ddIn/qe/aE0eMguJKnlShDOYojG78mLaPgwDpdx/mQix5fTSGpiH8RvaAIJ4pYGjgKo1dQQo6WiNiRf494z9FkvC0IROpaetu1z21EoztkQSutZsqTa7cIaQmgO1wLSxxBLhHYM6fomLWHPiL4vLZSdWSjNdTX7ZUGiOJ4HYp8sblzE4RUlX2MOYE4SYTWvH4gC/qYhRUNq8LqFO9lPQOEMMULYczKph7IkjlBkvYWptY3ro6WRr4e1y37lHBvahs8MoTQr0AqUNQg8RqjP/lAatiEU97XyImhn5uRri0JSGoAlX4CsKtt4PFkamjXIVvj14nT9tXIhs1rnMdHmjY5lZoh49SKHCixAKk9oX0ImBP1oiBHLEhliBGTM9zquIcg/2HiGKcl9MS6crd9gLl0wpOtHiSVGIOfbrfSHUwgYtrbnCwkxsdqJ7Xfof1+j+8nXvtc4KqxrMt6TDeGzMioQLz3fQ2m7u7vysIc9TF760pfKuWqJfJ0sWbJkyZKdh/bJSNd/0pOexJ9z2RJidIAGPopzjDTAr2RGR4xcrDEmX8MzYyzdBRjd00M6OwpKRuTrIIYYish6OQmJCkKqRzgIowEJQmFOL7Cp93RJfr4FMv1VtlKcMlB5TOCRHqZ7W84xglcJUGMx8HbIQwocI+NRRWRS8FHg7YOTMikaomIB5Sp72W6nER/IvC3jGHVrLXlBfFYnTwORGyvBVkmgWgwWHmA5N9KjVRnBNekJk1Ss7wt8FHqDEWLUoR+13AX1OY187V4mOUzGMSLBm2KGXiID3KIBedI32X8gzjfpJd8tBvK1cYyQdo12Q1BQkR7lTsAjVpkHQ4p8vOnRY04MHCMIFBINjDhGGB/ee6TlK1wgD4T18Ozoh2gDdHSHHn7ZB47RGtAEyC5AnBDgUIcxbaRc4Jk7Cv7x816A1LgjLkfB1HMgL5AVMOY5eD+j7S6sITwLOCwYN4pw2nyLUQHchsRXty6T8QiaCihUHHnluOcC8hGGftVAbQbOjZfXIGk2V1FCbbtyodCGNSPfEFWykhRAp3xMKePgiFGTy/p4OZTqiThGSBYg/ybvZWO0kHKhBX117SrKoRyjoUAtU/yt0KvPex93RZ11rmn5IeWCeRkPjv1M1+Mg8DiU0oARbXLy9VIfCO0nPSgqIuvzb+wco6aXjWIpS/SncYz6jVaubw8FhGazmFnChyF5QF7Q9yPwDB0ZjzhGES8SYBP4ZsOEjFAZUguNKwUKlQnbkicWc5KMnL2CtDoX0J49cIBcBDKaN07iJsIeka+d/8W9xzhnMfmaxH0HlVY4Rj33v3idnUt28uTJlZ/FAiTO89PSwShZsmTJkiU7D41h5zP86e0gd9VVV8mhQ4fCzwtf+EI5Xy2F0g7QmHqOHvUMhuDFqXdHNCfOJguIUadJS84xMi9lEmWl0QvxEhuxGB+PtlFWGjkEg1PC9wHxyPUe9GiQ1j1kalvG0iCWNnCMjHtj/9YisgOKBI7EcqJeKTPBGvWiibygH4hwaXkB94CHrLROJkUto3wUOC9EjLoJM3coggdHveikwe9AZ5AGHaXre8YSM72WEJqDy90p5wDIzQwQgSJPfExDocARoLQ/2my8G46Veb5Ap+hx5po5h8okzErLG/NylR8BzgaMnCXnMRhiVFtCTUjXhzeJEgXGP6uOGRIQcYzoUYPjUbaCrqTMwMiy3oga2nj5+Boihd+BNFSzXnKWaYjGFs9vCVRaamRAc1DKxedJDiTLL2+oErPmPIPL7PBkNnBTxr0Ue0jXb6SYIxupC4VdPeWd88HKkABN1bItSHcfODrNspTqJGC9UkU/rYgsOUEubumPY2gpkL1QjsHS9adVI8fLjkhDi0EzLgo4ZsgEZF+xHE4kUmrFcpnhh6y0EovDMuosK41/470trd6yFamHaH2vqf2atXZoMpNjvrMakoo+gBjgetcRfdiqFrI9V26S9ycMHBRHJWAQK+V1WU1EEVuKpDb7OUa9FsZ1UUHrF/DO0OSAOFlZjEHgUUveMBNsoRyjrclcthfGYbNyH75PKMcIc7WXrXJGEVIAnEBryvWl3NRsadamgGO0p33pkhvGdQNaqDIaJnMRstJsfvaZVJhmWEeRVACRHy/V40g61j9EVy3Ll2soLrZsaLvLRgCFJZ/I1g6zH00iIdzIP2f3xPzxdH0vIsuX7d4E/SgloPMoTtf3MiDUeUTh3bMs8MiuOMP79fbfa6+9Vra2tsLfx2NDnM9DSwejZMmSJUuWLNnt2tbW1srB6Hy2FEo7QNMMKxUsc7QozkrzIonODcJ7ENdnLN286hCPboSICpES80hCSRBqCxnyFHGM6KE7x4j3MZ5PxDGCR1MgZh4VkfVyEV3MMXJ9n0jvRT0v1zEyvk6hGWYsZREQo4F/Qp6CZ6XByyi0mCkQBnjiKvBoiEnZyQ5c+4hj5J4hssPG68uQIYHrQfwOLjMF45bgOih3xbPOFDFSLlTgLQGYMA4OM9ysvzXrSzVWBo6RcgLAA3EdI3KMyE3IBh0jahsNWkXU4YE3avyPMBacJHC7W5bA4GeM54J7aakWkQl0cyxrxss/uC6NZ3exDzwrLc/YP8gMA3cl5o8R/FmuZp45Qre3HA3cq3JVX8WzeXwuUB+nEzniiNHSkB+K/jVSzKCf1IXCriGjya7vvBbNQuqlqAbPGWNXbisqA+0u6AIB/UOfEzFyPhA4JdZkZvZFfDP0PcQZ0SfKTRkQA2Rm4XMcN6BwcZFkQxSIpmXgzSwGYUNDzTbKpfYNUCX2dx94YOwLy/LyuXV4ND9FUwfIDrPSMEezXg6NZuRlcW4RsdD1DBTSOWzUyekUMXKEi+MJDpu9rgKP1jYOkYqEOuLBxDDCFdZWLz8TZ6UZCpfXLT93eDwnB9CLKXvR4hUdI3CMyrk0zjEa9bKxvmCZGban72Ur17nCOcwMXO17zMN8hA9ZORPbI9k2M2SUsiSSf0OZuCP3n1jgEa8bUk4tp31lWIjk+Tx2JNhphVHpldPqGHl/10NJJSLAQUNKi0oHzh+uaxwj52EOOkbZwDH6JChfn+nPhWYJMUqWLFmyZMnOQ/tkZKXt7OzIBz7wgfDvD37wg/Le975Xjh49Kve6173kXLCEGB2gITuHWiIhM0w9GPJiHA1yMw4SUJeRKby68jXj2o3ItKgDYhJKSsArMm0h1zFyhIjej5cdieT18R6gGKofYwU/I8eFiq1U1DadoOi6vJcVovU4v3uvWjagZwYL4+5taxla8MAjjhEztrRNQNXgXYLPsEaO0VASBG3fblX52jPIEJ9nP+WdbEwXgT+kOkbGMRr1yh1BNg/4F+Z9lzNFQYCQqXut19TiqD3VuukJsvPUm2TbgPTAUwRiZO0DF2Mo8KnvZYaXOFo2KF+7jhFQulBI1TPF0P/jlkrPrmaeOXoIJK/JZArkw/RTWJgYY2LtizVcUKxWNWRQEqSVcq9lmYbAd2LjBsQox72jrLTFYvCLXDvJpmZAS/T6pqUkIheNd4lqQLkc2UXMVIoQIy/sqoiToZ+mXu4qzUAioLfEe2GOLXPJT2hNEKBF4CxBRRvgBLPhTGeHHrpxY8Bvog6Vl91oM6pWYw4hkzA8CD6+AMfIOCVQE4+y0rx4MLhmaCcy0Ij4mv4MxiQoOAPpMARFs4v0EuQYASnAPKtzuWi8M5RYcc2crFeVZOMYHa5mRE0D+rfCMYqy0hpDjFy7DEgoldUH5WveFxwjK/Y7aPPoGo1LgriOkaLOivyQ4yMow6H9dtFoVzM6TYsqzLmAGKnm0WY+pzo7OTVlL5es78hNy82QVXcYiBFVwlWLjPPbFMrxg98DxwjsS8+YA8dor1M0eR/HKHCFIi4Q9b5cvd3mvK8VRbrtb/t0jKg1Bo6RZc6ewv2JstIUMbL3ufI10Sqfg4pcgRfFZ4p0jMJ+0qrm1/mufP2nf/qn8umf/un8gT33uc/l789//vPlXLGEGB2gTctG5n4wYujDwmmeVm9fSOFAgy/8Ra9p/i6AR3afLsZprqG0Ji4JUkRhLl+c0SKMX9M3WPjMQ3I4yCwVus+0CP1Avi5Wyde8ZhB4tC+5KF0fbccG66U3/IuQpF3W0VLYnF9I9l2FFH2KTC5afuHgS5BQe6alMHYbCDz2Ubq+wulo/9Hpnhw/uTaQry3MwvAXD0aNFKNOmrnWpMKXtfSjkK7v5GtuYL1+2btQn5KvM+mn3UC+jg5G4JEW2L6Zrq+v47BJ85IgBr3j8LegwCMOadaPfv6qOhmNG6l2EM7IpI7J10zxV0FBJX1CfC+C63kNCx9ENdkQvkXbcDBCfSoSnKMvFH9+T3/2OdPgYGTvY9hifyjNvsgwfxBKw3y+eLTDUiK85ljJ7TgYZXM9fYX6ZfxSdYKwpeuDfM3U546hKK9ezpp7x0+IyJVMOOABtEa9NCUfr5CvMU8xX0f7xPV6rd2F8fRncYFHHIbrQxp2ZBkbP6ipOqOuhYkOFOakilPquDBd306WEI7UQ3+vYTuTT9CDkZa5wWK9ZGQHI9YkHMLIbC/mTt7LRdW2FHPMLT3puRhmTuL5MF8YSjMZDhd4xMHPQ0A46HoIXfaTrxlO1kSBMGfsYBxCaSBfh3R93Fjk6GhXyfT4Qvdwr+1bI4wN51Qnm+grEJ+xZVW9XD7dllvrNe4DOKwfzhe65iBIiTU80/Erq1aFPS0xoBnrWoxxiWoPe0szHGBDrTSTIuCDmiPJcFzPtaWb2iBXwZAuxoHhcgvv+lrkwcjCkfsjXCvka3y2w3Dq+0II3Ij77qtgH4DzgSQQy4BRWY8oXZ+DKWfN2K9niBh1d/Lzj3vc46Q/U8b3J9nSwShZsmTJkiU7D40ZxWealdbLBWcplHbApsiPpdPDWSu9yCFfHd7oIQAg1oBXHe62MBgcCxRJdWE7mFdZJ2xu3kg8gl741EsQeLmDQPp2lOEUyNjF86ySu3laIZU8lATxYozmZZHEav9tculGhkBYRfaQ/+3yBEZMViKxigZqMVwjLY8aOV5PiSw4+VEJtprqDLSJlzN4nCUhcO2JkqKVmDpUPR/6OZIZsH+zZEmU+h8I617I0uQKSD40AjpRE15HPwcyrUsXhKE1IU4PCYSSGAa14z6hgCgABA8NRiU4SOY1UUktJzCETSigaf2KMCPJsy4S2EHAcRDFC+ET3BrFTYuO1dD9+TSPO5qWhiww9BuVgQBh/FizrqiedBp2oVccTSTOxZzXD1IRkaNJ0U8TWaQEhb1IgrqPg5GPa5R6qbTxi0bnFEHERoUa+TegKQhNuViq97v1ZSDfAp1cRuRvI/CG8hFk4etcwNjssc7JbYRV8N5YO9LuvdOOFYUyoUZqv5g8R0gkMKFOKbXPgUIh9AjUkGsZKJ+5qUOJHJOUcMFADwcT+RiEDr3qPPpmu5vqtSxF3wnE+B3yBhwqk2BwZNRLAfVom4UG0eEMuxma7EO97CGQqb9raNkIxr3IZZNtOb5QgVbMyV3G3w3p9jnhYp1RSjzuD5HPkFhBBMezB4bQsYcHfTg45pQFiSAte0+Ye/E33D4BRy/Z5MKSIUnAi9SaPASvt9Jm+52p+QPPwfdf72/OWfSj7WVcW9xo982tZHc7S4hRsmTJkiVLdh7aJ4N8fT5YQowO0EB8BJoAnggJyx1QlAjpEfMk3RtxIUTxUgnqLbmXArE8kC/ds0EBTCdGa9HWgQgde0P0TC1VtTchOCduutia/7i3TURl3PF+bkr69XRY/Vtw3tCGQvkWLvdfHx4Hgnk79hTkiKjYD+TDrsrpae81KP6q152OazlZT4jm8DkKkeVSO+jkbBzIzih4CwPHiAjLWD1X8kmMo0VhzTH6ztpn6BoAAX52DWiciT1a0cdQZJWIQs7/zptSiaqFyF43Um7TRD3u3eU4kFhjyQSgXE6W1XR36zNwIfpMpkjHZx/p3CD51/gc+Ai8d9TSJemT5QqsP4BykOitSBS4NBSsrDJZ9BXnHjg+K8iD8UmQEg90ZsfKgBDRs7nBNuLGhuogBdvnD9tdtfLR+RHyRtAHLG3hnjt4afi/Mpd+VMocqISjbmU095Y5+43XK3oiBPgY+UD429qaogeSkWfWTAFpiMwWlQJ+GKcl0u572ZuNyH9CPwfuSCey04ykw3oJCIKwjIwXTUZ/uwwBxzpw8zISwNFOkIcDyd2SDk4000CgdrFOSkXYgrhxsWmIq3KKjjVrA9Jia4c8QvxtWnF9KirjnCldy1Cq6IASY10BLQLB3NejI7EuhuhyAo4G1zk/f2uzMZC1wQ1DqR+0rRTZmY8VzQI3jzxIIzCXvcybSpoNnd8xYofPNtNhDh7v1nQcykyFay3RAUqMR8pd2a1H/Ew7yeRjzWGdfyC8+3wseqmXJYUhff/B/SEd0dq8I7qG65NcPySTEOVUDrTuTUDnjHDtHEYSpFF015NHDHmLSdreFpUoGZCgUMrJUCqCiRDWdPK/r0GiQ8a7NI6R7jFWONv6W8vH2HPYnsL9rjv7B6Mz/bnQ7Jw7GKFi79VXXy2TyUQe9ahHybve9a7bfO/P/uzPyud+7ufKkSNH+POEJzzhlPc//elPlyzLVn6++Iu/+Cw8SbJkyZIlS/aJszMtB9LZz4Vm59TB6NWvfjVT/17wghfIe97zHnnYwx4mT3ziE+XGG2887fvf/OY3y1d/9VfLH/zBH8g73vEO1nr5oi/6IvnYxz628j4chK677rrw86u/+qt3qX1AMLysBz0aIEIoVwHvKJ5b7skQMVIBLQid0dN3LkTb07uA9x48q0ZLa3imWFwEVn/xsh2GTMGTNlTA+RfwxgJaZEbEAp7YqA1FEQeuiaYza+aU8RmIGClXCMJ4XnC03vQyDIP4H0o10OKsGHqpOVO7yXmx92yMF3JiMaFnxfcUyJxSL3I+U2W/gKhZxg54NdUUhVP5IlOZnRPVjZFONnBLyOkxgcB6zbwhIE5AFDy11zaCdqyvAwGBp4qfhbmLLfhJOQQSq8BxGNA3tCvXzzhaZhwlLxQKEUZHC9Df4M44xwgG7hRLk6BdnEtGbwG6wJIk2k4iRkhpB2KE8hilIhlBvNA8ZbZxoffYXajHykcx5EnFLhV9oxeNOWefIwdu1MoNs00+I8YMqJRm8Rgqg34sgY4WMnOOkbVXG5IRUQSiwTmQ91IvtJxHSMmeqkwDroV5304LRQwXlv4PTtVcEUpkHQIVYN9xXHVObQPBq93Ltc9MG+1HlNUAWGYZSCG128T9soVyf4j+OEfI1i+QzRVeHvhthuRgLd48X9ditOivRuREDYTJCtN6en/VEKlpJ1BTzGRk+fkUVzTeGOYm0BpS5zB/Rsr5c34KUeh9mWcuMirLXNppLzfXG5Y+r0WDOQbGH5yjL9HHVrg1CJQax6hZx4cwz4E6Drw2FD325z/RrikiY2vUERzsXxeX27IL0VCgJCORa+uLtN1Aanw+GnpJVNLKbGAsgAy3QO3smXB/cjMt80wLYHvZHS1anUfIn3J9DCg0Ec4VpMn+HtYpBSEHXlfYd10I11H9kV3DUfjQBuXeBT6TZ6z5tSCrYog7uUa2trDfnU3EKNkFcDB68YtfLM961rPkGc94hjzoQQ+Sl73sZbK2tiaveMUrTvv+X/7lX5ZnP/vZ8vCHP1we+MAHys/93M9J13Xypje9aeV9qPly+eWXhx+gS8mSJUuWLNn5kJV2pj8Xmp0zB6Plcinvfve7GQ5zy/Oc/wYadEdsb29P6rqmAud+ZOnSSy+VBzzgAfJN3/RNcsstt9zudRaLhZw8eXLlB8bSHyGbJ1OPE16beTM0j2Gb2FjgcRgvgMiFydjDu0B83j1/eIXqBqMcqXElOIKmmeElQKK4N7gH/N01OVDEFVlMISPDNI2ADIzbEOcPwnf2ekCYzEMi8oT2RojRctPrVphHTrHI1QyU0sgAXZmTSwKEwcshbI4W9Dgd1SFqBV4VwLeZunbMFAPHKEI5pmOIGg5ZTvrZXtqxcilC2Ycs4hhNtW3wBJn9hc+ZBhQ8PXILMNZEYlREca9VtIWIUaEeuGasDVk35CDB0w1ZKQOi4UVjKcJoWjzQKIIuipYhsfnVlLw/OUa8gGfBKLrhmklAWyBeif5gBiM5Rspv4vvxX/O0MXfgic/muKlpPxmCxX+Ts6acGqAu6vXqfSDGeNPeBq9P/k9vRYEjjlFfFUSMwB0KmX+GVrB8zCKTBoiRaUYRlcozEzftpVsDAcgRo4rjQ56NjT/6jRpE0E7aM20fjLnxgcDvAE8FRUKJppq3Ppku2UdANCDyGBAFFDKN9L9yrC0RuXWhfCLPbsL4nmTDo0xSlqMxxCjv5fhsGrSBcO2TqKxspXh07WSKjGHOTgq2e4wFHxXFdY4RMjU5dzBu2Dtcq8kz73y/sLImnk0JFKebdHJLvR7KfADN9eLQEFytZ6Wiabaei4hjtKxLqdeLUxAjduUUYox63+NAjCwTkuVHbO0CETxa7nAMdJ1lct3ycEC6fT1zLSxy5R25oGPVkT/p7+PeAmQpiC/p+4juuAAtuYGKIOraWhW8XBHw9JJDvg/btoQ1hud0juDpECPy0lyk18bL+x9irb7vBJ0xrndFC730k85HRXZ1v5OzZnqwOVOOkVxwds4cjG6++WZp21Yuu+yylb/j39dff/0dusZ3fdd3yZVXXrlyuEIY7VWvehVRpB/+4R+Wt7zlLfKkJz2J97ote+ELXyiHDh0KPwjRJUuWLFmyZMnOfbtg0vV/6Id+SH7t136N6BCI225PfepTw++f9mmfJg996EPlfve7H9/3+Mc//rTXet7znkeukxsQIxyO4EkH3Q3qe2jWBLWEYH7yNo+FiJIDNCyuafwj48SA39JTA8mrUBpihPfAg47KcwwlIEznxlSuUbhRHWvjGJnyrXtF9HdMB2U0amS2mAREa8hKi1AP99DNs4JaNbNjaiBGQ9kTlovYVUTHmqWlBKwT4KnN20rmdRUQkMOjmXz41iOyAUTIPThwP6Amu1escox6VUWGmPPmZCF7xrkAx4geDvlEUPfuQn/SqwdiBH0kAAPGV1D1W1MPhldOxEi9Jegn0fsmx4iEECI9REoWpUC6SQcwRowKyVn9YdCEgvosM6N6oTr1ddBxQvadzZNQDNQKhwJpRJ+yJIoLbJvHTIVsjFfZyAKIUZmpl18oYkQNJNPRYbkX8JWWmXJ75iXrjcLTdm/XuT24LrWG4M27EjuKxI4aObE3kUsLHTMWQ+1ML8oydvoCHKNckRQba+d2uJI7EBEtqKplQPAayujw2abKvXDEqAaih+7D+BuKV0KPaNRJfgwcI0XbXBcJ4zJflkQuVO1X7701XUgDpXdw+DaguK7oDCeOL0fjWjV9RvQngHSmk7NHNXZDZwx5dQ0l3Ht7NiEywUKyrXKd2DdAFIDg5Vo8mSjnRHWJoCDtY+oZo0QQ2W+G0I5bRZttkBwl8r0E/QvUhzVLkSl2pJVjUCWnAr6qzg+8RSA1yHZU0hPVvR1dLaATVki9rurTjXHcfK/KoQreKXfsGBApFo927SxtO+bqpcW2ZpEaGnPDYitkrOp9DEUDYoT2GEILRfEeRaAN3UZZGPQBlcJdFy6qGsB+s3tyn0FJGePn4b34nQloBhySZ+iFYsnvNCSnAgcrykpj5QFfy7ZPjaxYtq2VQTfJKhxEKthEBx1lYwbdwMHzAtXYT84uYpTS9c9rxOjiiy+WoijkhhtuWPk7/g1e0O3Zj/7oj/Jg9IY3vIEHn9uz+973vrxXXARvv4GTtLW1tfKTLFmyZMmS3Z2sP6CfC83OmYPRaDSSRzziESvEaSdSP+Yxj7nNz/3Ij/yI/MAP/IC87nWvk8/4jM/4J+/z0Y9+lByjK6644k63UXU3zCNmVpryBFxLKKj0hiwGeG7GjaHn74iIKr9CW6RnLN40S2pXd1atnsAxsrh7mMF+P3g0+3SMQlaaZ2GZjovrCDm/hJ6VqQHT03KPLarRpIhRa20TqdcHxChnkchBJVbrq0VZaZVmfC2aInhQR0Z7sgBvx3V4ioH7Ucwy/Sw5Rob6GMfo0Ghu2T+ZFK4yTY4RUlwMgTMP2/lLDUqumRq1ZqWBAGUoCLKHrNabKgLrZ6Er5dom5C4si4BeBY+WOkaaleZ16Nh3LLzJ3patch44Rsw0RBu85hVoYbgnFJtr12UyPhSe2woM47ooNuvzhjXKgBhRQ8n62PVb2I8Zr9UvVLlY55jNF3izVFhWzgY8/JDNhvtUtcx3R5qJ1yArzdSPA2IEDS5DjKBPZJ69ow5EN5eKGHEqQLMJ9dFyYW00IgzTMqwhzHvo4FB9fG6oAQCGuc6rcs/6Em02JJAIYg1vXBE/55Qdme4pxwjzA/wkL67KulqOJFhx4V61fsI6Ms4VM4k8ic2yPlWRXdfTYgYNKeeAQd9K5wkL0xLOERmj7heQyLFq2lRZQ1VkcH9clwgcKKir+3wjf8+U0QNPzjlGvG5P1Xy2A/Vzx62crMehMCvqBoYxwLiiLyOOETM4Ycj0qwtp1rLTZqWNplrUGHaymeqcq4B+Uso5IIJHiz1mkTp/56YFeGkD/4dtR59gH0PxWeP/5eCZIWvS9h6gYF4xQNHpYT8I8w5ZaZg6QP5sDLVwt9UGjL/ZAscoVsQGWqT38edUjpEV9jWkE1pSXEOxlpita8yhlWK+Vs+Sn2VW2qD0rVlpqouWstLu/nbOHIxgCF9Bm+iVr3yl/PVf/zWJ0ru7u8xSgz3taU9jmMsNnKHv/d7vZdYatI/ARcLPzs4OX8d/v+M7vkPe+c53yoc+9CEesp785CfLNddcQxmAO2sInXBdmCgfF83/z96fB+uW3WXh+Nrv3u90zr23b49pGhshYAkUIAjFXIpCQYA/pAooUBBDpYIowSkCicWMIZYipUQKRAsjBRSWpViAFIPiDIKCSIEkJf6IyTchSSfddzrnvMMefvU8n+dZe72nB8ztk9vdt/dKn9wzvO8e1l57v+vzrGcA1CvzwdzwoWrjRKdmS3pq8jUJnpg04ENKSxL4cON2JdfPCdJl0ggnTF6KiodQKddHAKUDbcP6flweOFogpmCU63Nfgogz7F2Qr/nAhwxZ8RXt8UhaZHq2zd8Kg0fA5BEDEEsm210soeAw7p+fpG7bjPA2trut8sQo97MjOgjjD+m+5Wn+gMzy5XNLaRFZMXCJCieApTTuQ3J9Lz1y+5JpcylNdgl5Kc2yeS3zkKBczP8Yx5DJ1+ME1RNZtCvNmWJJYuLqh7onnZzcLPpU75EUH0GtPC7KgzWR6yOQF8GlvWT66Bcsw+VjYrBofADggx/LmDN8OJI4OpKvOYmR/JkBvyZf67iP5rs0nDYklWIyS1sKOdlh6QLEb5DpQS6FcV82IyT5OraBoGGQg/k9w1ljnDnmpTuKmSSWfEE+B9/ZE7q4TjOeQ4Nk9o0+5GQz4agOEHhJvLWVRZXSA8sTBqVymXIZ1gDMLZ6j08drxiBk7BsBxCX5GsaIe82mdV6cxChOhWIGCAMs14doApJ1jGkEFOvDEeeJD1eaXHYprZTsm5fS0PcgW3sJEivIy3YsqkTujQ/aknyt4d6mtFzt0o3tSqGzcY6ZfN30YXdAu4eQs7OISIoY2s94T8SSIq7nOK6PV1hLip9BRD9YSpM5K/r3QcjsSZavuGT93s1RLujiGRDFB4j4fC5pAoIJBq6zn1WcwNeFmEXPy2x7oYkRSfOY4HqiqPueQhYv6dOIVl1YkK/5/EPRWpBJHA+Sn4ukBIh6gCLMUUdaQkT/ZtpCGRfjZ69tU7Tc2M0TnyfPxVLaZPB4F3OMvuRLviQ99thj6Zu/+Zs5wYEMH0iQCdlvfetbqVRz+77v+z6q2b7oi77oYDvwQfrWb/1WLs39xm/8Bida165dIzEbPkdAmLBcNrWpTW1qU5vaC7ZdxFrYkF507QU1MUJ71atexa+naiBMlw0o0DO19XqdfvZnf/bCjq2DUZuXyRRWmRZdGjbGs0cTslJ+SwAHVQ6qeOrmg0CIyjlMyYIwyEqtUZWaI0G0dMTtjxUtGpClTErU70nWNPkaEnHL9UFihvGgK1SbVNoQT2GyrpBowjYL47ozLaVt7o+YAZwfJN6dYO98zufI15DCt+0soXhHe2B+M6S8GpUkl24BrA0JIAuWm7hMicp8E0tOOJ77Fid5KW1ey1EP57moGCprEjGrR1SARCgC+uIy1h7hqzj2Pg2p1pJHHAPjPUS+9hISJbzo2+JYS+M9I0YjWhYGeV4Cu3d+IrKtSPotlrlwreI6k9irpbR4oSTKWupjxdlX6ajZ8dghbQ+ZfizxxFKaCKaS3c9vCKlBtS6psZfuiD54PGEMngo11BIk7AVmJ0DOel4z9hWDNUVo51IaULYwXczmeEArLLWnweIwht9Cej8b0grrXEh3WMZyLhATxoUAMQICCJSjWEoDQplOhVRgrCoAmNU5lmcU4mpbCQSb/u427gMsNXnpDNvhUNcSJrZNxGpjSMCxD4lLe0G+HvuLNgsyLJ2dzdJwueX5AtUCAZnXW4gRxnEgY2EcijE3J2W6kOsrkgcSeKKNGALzLu0KOXgsvRfXrDBpxLPh0mrHZbymRQhxlZZNl5C3y/EPpGajGA+Mp3oY0VWgqu2My8uL60Asi6U0IJzLTTp1YG67LOT6QSpmePG+Sg/URyGW0LW/LlJ6Sb7GvnCsYcIYy2AN4lKADMv2AqjyGbbvKCUJRrD82yjuw6KJBn0kxCw6Rs88v89iEy11ZVaD0dRa8TdCpoyEmxKAezRL8Y1W61kLg9U9LqPGeV7mq7TEh2VFI3xCm4CoKgXnzrSLQHyGFx9i9IJaSpva1KY2talNbWpTe3+2aWJ0gY1r4q42VIGDE5E5PyZfF/EaORSSVVhsh8TLPgIkSxt7IgiSCGeOkcILc+O2xGmSdHX8G/i5sX5vNAEt0C3IyLeBInCNXaRsI0oFxwjNlRXIszxeIAKXuhxqCYl3RFdo30JtssHjPKTwMJT06x5sbpIgmpEGckzi7UCMuP9CMsu4hH5IDy1u5uPG+dlUEeRmoGtlJAg4A0Qm1jqRriI5l+cpTg2JziBGYx/gXIFIOYN9giIVSL4O/pORouxFR8QoSLtuJI+Kh4F2tQ5OFHhEeP2s5Bglnde8I4IEjpE5WERzhDwFx2hPhCLI12GYyDFoU0tWxYE0sUqvBnK1uD2gGa5cC84GJOZBXgUyFxfv0nybmpMwKgSaQ2NNR89Irg8EAQgdjfsUwGmDRxwMOTzr4JcBqSD6OatGxGgd3CeMa4x7ErVn4/XH8dXbIa0X+yBh423gZ0muz3Fp2baCXrHdhxfXyNVC3y+XwevB90A6RxGE9oP3AP400Vqy97O9k0MdIgt+U/QBrk99KoEEo3wUY4PjdR+TY4QbBAHEcS0t13cIMX9c9kR0SNzHexZIyi3k+ib5GzHC/S0uDMbBPaszhu6SY9QMRMV8DXC96zMLDoTGCbEhT0chtOkcxwh/v3d1lhET8K0oX5cBo+9dmpHif4r1AKp6erbMwow4yLjHyHdz3I3iUmgnIa6fOUZGjPy6fE9p7OE6Am3yNbXFBM/f4bqz8T444PZgzIDcLo6XydcWlWRrABH2Kde3AEJgFBCjTKQ+v31af9j2RHE7QIz2NYGyO9Um5+sXyVLa1KY2talNbWpT+/3b5GN0e21CjC6wgfeTFQ0K+4RpYq4qZM7owFJHbVDGjopHgYhhHDZwPZqKDkrso9IiBUklRw4w1Bq2I0GypB5oQ+YYKfbD1ZfX0i117VK6PN8E2oQ3GPWyRP9cJAirulkolljZo2I83mc1ByTe2e3M/6CKzhwjqa/AC1Gl9WB9gyiMkTNWtVQLQZUWqir+XhJ5czNeMr+ej6uhvD1QGgA8RoxYvaGKW8TfZ+voGHKMYAAINMWmfwp8RJ8BASEPBBwjcJqsSkPliyzYwlogWyjQlLN4oIhj5Or6nvo0LvqyP1ClGfUCYoQqHoozcKZy1Asq+0KVdqkGxyhM/HBsrEhB/DIPIlfaA1ExXDP2J/kvI0JVcoxQRbPizqG6KV1uNml+Ej9jP7Sl6BQsOhuIMMB+gdW0IyxYXQu5oiptSPUSEnWgeuZPpbTGgSl6wWG2QBEhXTfHzPdOsx043uan8X4jnZnTtwPHSPENQmcfmV9Ls10gc7Cj4H3RBtKZ0Rfwj7bmMclQUrwS9OkWpoUyFzWPz2oxWA804CfZeBSIIcwKpQA1Urmud2G2CbSxq9IqR4IMGXmBkjMCeWM84R4q5eCW6ztiIqM+4ijetzyj6ahVabAIIEcG9ydVaVZIxTOl0YMJPJ20r1J7FNfUY0mesOn+5Uk2vby1W5LXRoQQkSA5RFZDTipS8Mn2sjEYzRfjOGZbWY8ImQEXCoidX4d7mEgkn4/BWxyVXkJPZbMB1CbuY40Tjy0/r2x0Krm+fQeIXKG/s5Fl2HrgenI/NrSVHYlReSqHhRpiDGWDR41Bo0+0VBGiGkayDmgeTW+n9vxtE2I0talNbWpTm9rd2OSB9qy38SJrE2J0gc3VAlEW+RiRJ+DoBUdsqAIaQ2BlDiZPDiJG8kphFSWDMvIgxGvICrFs8DiaSNpQjao0VubiJD2FjxE5CvLZuDo/k1pEFaqRDFda4jkElycqUSiWXBWuj3e50rq02GaPkziY8yGy4ekBboNf91B9i8qZbEpXIAbzMynHVJmzAkO/dkNwk4i2VGnBjgzVDapzRoRYlYY+lwRudRTkFSr1dj2vmY0zQ5UmdKoTx0iqtIgECUULUQZxr3IkSFf6U/ncA0G0Cuzq7DSqbPigCK0DkgeUkPyMdsYqHpU5fZ9wfdD9GB/kc8T4AAoBtIvxJFKlwdsJnjXRf2NIJytyqfvC4DD27TFDJKoNvknp64T9wpCyOY1rBv7P3hwj9SlUaUQQ4D8lc8jMxdL4arYprVaBkgAFI08FiCM5RkP4+wgF7Mh3ifBPX39GgpwN6Xi+47/BG5IPk1HPfZxDcDriOB5t3ptm245owfEiINeo9gM94nUHV2UrvyX4ZWWOUYSBArnN49icPO07OEYydQWa0Aq56oVmCMkkMia1I//Gmz8UljjnWTek+ULxKFKSQSVaIkZlJAjvfdzfvAjBMbp/eSv1W6DM0Xc4R6J2GKuNkC0qyYSYAB3BrQKlGNR88plirExRMj+wuJX7BHwrXjtzI4XaGe3h9cKYADKLGB9zIzUecRxEvjHWcG/Cy2q+5/s87nAP8/4R+ghkKbzERgUu9wl1oRCjzNMzQiXFLf8VEm9E1vckVH+lXxPRKaP5QgcbRKjIcy6UoeM9g/41Op/Nb7UtKhJtzCmEifuikWq6Y23iGN1emyZGU5va1KY2talNbWpq08ToAhuqdasozDdBlZqVYa4gGGQ4+pIQzZG9PStPcYy4Hk2FxaEqzUGpVqYc+BiJK5JyJRh/srcLeAWsvqy8UAUNdde9zUnml0RlrfNBdab4ADsNZ45Rs8vO1/cen+aCDEhS6eth51677UKVxlgFVPmZY9Qd8nbokhv9Mz/p00yL8zmGQ8jFw/X1QNzMMeKBwvE5EDK+3pwMqATB8zli+RyRILs4n+zrArRBDtngktj5mr5J5ApIXQPORqEkRONxKBzYHCOqpg5UaWe5GgXyECG2UlbhMrWztADvAs7XiM9w7AIiCApV2qV6m2pxjHBs2Cf6lOo6RykQJYsqHYo99GdW1BQco6yiJFKl8aEK/Z7mLM1vAXmIa0aOEQZgEZIJ3xsifUYrFTviKJh60zPs91CVltJasjOG1wIlRZ9BCbgKbljmGKWK27iy2KT5aaBaGZFUdU/eChEjO52n9IEY0+AYteDQbbPz9VGz1z0QXCugUHQz1rDI1xK8Lbg5ByA5+oRBfSe+FFE4qvjCmicc6hGQG31Mvs8suIYM0oWPkcYy0Ug9K1bLvTyhYixfanbFOdr5ulCH4jmh+wljGM7x8M6hHxbvzT2VjHTRbjqeo58R2KjvFajCENGSjuLeAE8tIyNwD5/fzMeAoF7wxRivkw5VaXEcunehuKTB2cgnA4cS9yPHIlAjnQujbfAzxh2DhQMxIkrDcSxiUREJYlUa0CZfQ9/3uG/8IIokAqHG9jcSmr5c7MUNlCpNnK3gGsWxzeHsT1Re2zNCrKiccb8jh5D9oHuHzw4h8uxTjNE76mN0QV8vsjZxjKY2talNbWpTuwvbpEq7vTYhRhfYFB+VnXhRJYATkXkCTtcs1qStXiK/Q9yQSogR1qOJDkhVkVVpLD8KJUYxqyeiQMRoOECM7L5KVESu19n5WjwBqKWMNuXfqxrL6IOz0uQoC8US3bv3KX3A0U2qOtAuNcExioOywgnO1yPqQw6VVWnISputWLGH90pwZ1CdojVACbLz9ZA5RkC6XlJvMtoyqtKCYxTVpzxF6uAV4DjuX5/kc6u3gdSRE+LARzlkI+ySgZDISusiK41oEvqX6Na5HCdcL6BMriyFGLGqzhwjoGnhM8Pr2ynHzFwuIEb0dumDM6UqGZ5YRClQEcOpHOe9jwo3wmOlyPK+iRwNWeEWHKO4rhkxcq4ZeTPhC2PnYKuAMC4WNwOFwDWj67o5RujnFGgRfaPKwGTwTKRuBIfn8jLgGPCmjCIcEcJSwCz5DMFTSit2Slx/o41nbbrcbFNzKzye7NjusWplU/ZkqlL6wHqdZrvo56vLMMMyYhQ/xHXBGGDfGjHy/Yl7Ty7XRmfMbyHyVgOJEQ+G920os+hVJJ8bojc4uIJjtCoQI2QsYnvkQJljVAN1RThy4WNUIMzsXyAwut/wbIA6E/tG3+DaB2IUaAmuN9R8fm5UVqVV4ZANtK0BBwyPnXM+Ri9pRtUngnox/sBnA7o1cozkpwQUFejMomfYrxE6nivuvwaoMNyw9QzBGGjCj8tjgqg2Tluu/3avJ3fO6lvxmoA2+Zo6Aw10rtHHSP5kJaqke3INn6cSGgBnS89F3xdUMopvFspQJQAgQxAco5yPJsRXfUZFohEjZ+HhuTap0l4QbZoYXWDjcpX41ZbrwzQx3wg0o9MHZTExIvmyHSLxu7zJsMwisz20PEkolrVKKaknSP5QoDngOYNHS2EtVgiieLznvuZkTKAW4ZDfiijpfWYTtiqIuSQi74f0yPpajk2g9L8MVawK0qkf/ti+lkTQ5lVDgqiXp/Bvs/HEqB3l+pqERIjokB6sFyKiV/Gw98SIS2kyeJS0HMaTuA4PrW/GoVH22/G4c9o4HoIwduPEKMjM2AbSvsP0rRuX0rQcM8YURMwHYfO8lDYGbaJdncWDFWaFQeQ1gVjbaStKgXFcsRwTr2ccBp7bmOTAXqE+4+TJSeRczsIx2HZAS7ZYHssTI3zwS2pcRoKwH7D8A1K2yateSqtP0/xWkPaxvEuDx35cSuPSCz4omzGok9djUaTZbzrKyXktsWxp8rXWXhA6ygkpl9IqJrrjw83XnwaPmzZdmYMIjg9SBcMW5GsvMZp8jX1jTFWcGA3pnnnsn8tWtZbSkibHm5BXj0t3JjuDjRzLZl4S5X2MyZtCkbG0x+UaLLHSLDL+tqhj+QxjhxNA7GKpiWm2nojgWBwfrS80vnFsuLfGpe1x+UyXNj7Ic0jvkCdG1d4To10Q9mcDx1Fz1udlHU6MdA9jOQrPmfVqz+1yWXY+RqA83FzPS2kM6t0q5BVEbk0QM/nahqzLlhPG0uAR4wnH4UkQi6gqjpO/i+GdFrP2YCnNEyiQqGPZN5552IYnuGF5EdeT4gSLISSqCHuU8drid2sIR2RiarGBDR5ZhGm5zOKNuF5eU8M1jaVO/pjJ19FpEf4sIYuLLRit4pmOovdOtmkZ7X1u01La1KY2talNbWp3YZuW0m6vTYjRBTZKuwW529APlWm5ZJFfq+qTcl1VcUZlMoMZSIGWxQz5m7ya4XSbzhXvcxWDiiyTr/sx9NLE6/OvP54VkSCOWcjVWEhZTSg0OgYECEgBqjSSP1VpU4ZdVhva136oxyUBVn2yHTDyjRUHVIuSz5JISeO4drzRZfFPknRVpXW1zCgZCdo2VEOFpr7zcaPCtzWBj7XSMkBuqPSAEvEajsRMSOK5bZnOxZKCSNqWUZucy9gW97OWMGQFMFNnkDhqk8I8LgIxwjXG74GAuVrl8peX5IBWVEB3ItZgh+BVmuLNRnM6VdpYHmCFzuW/GHeUqwv9ix2PhGET2W3PgHHRnOE6Vzx+oFM+V/QtESMssy0LAirGNCv1QJaAbB1Bs69GgjCWSlOgFtmigehDFcGiuH4i5LL/9h3J2kCA8pKK7zehnh5LpRUGLB3wOxCgA3mRDUIxzjnOJHsf+0RLJ/sCCfY11hJXmGaGHYaXT41ckTivcQdjU7yHhPR8T1QUXDgQGoKFPcjXNj40hFIaCIrsnknnurfQn7CBiPspJPokfGsZHkt+uAZxP8tcUe9d1kAng4TN60gEcNwvrn8mEmP5G8IQiBF4E/t66l+hQ42MHPPzxaiPkNEyFgMIEY4/ZPYYhiF4yOijkM8DzwTeZ1oOtHWJzscCkbBP0fJYcf3U9bHMrkiWuPeE4lnqD3AY4b8y17TNgccArEfK/eZD0z1nRD/uBxnTCuW8Y20iX99WmyZGU5va1KY2talNbWpq08ToAhvs+G3YFtyfCGQkeiFZKAnaCkckWXYeFRoaqnF8ASnqlyF1ZaO1/Bg5wOrU69duQCjqw+qFKBEqpXpI+309Hps5OkI1UOXRcJEHVBC5Bb6w6nW0h2Tcp7vg9Ty2u5wNKU/7RcRZtCmdMo9Dr3eAazOkt2+ukoPBc9H7ymrLXAZWujRpRHUbB4S+xHmg4t2vE6XJ6KceNaYQgh03nFK/BYyV0skOOnBVjHXEL6CqPuvm0Yfkt9Q87tMN2MPB3xll0OBsRLAtzA2jEyIqhQ3nAB6SZfvNGOLLOBFxDIjmgLexm6X/285StwiuDjcHYjeDU8NQEJ2OgN1+MQtTSVVtRmpgpIjTPAExZ6Zrt8XGFXrr+ALGS7gKFloovhcjW/T7HItAcEUGjQp/JRmX2TEIeg2BQKuIDKNnOEb0f4drYoATYAf6KaN1QdbFuSJWwvfE9e4oV+HBXQuOFkwVTXofcHywBFjOiVL0q3naX1LfCXHlPoQ0clMFn2RYz2kPcbNdxX1UV+n6bi0pd3DR0NfuD+5TX+DoBNIzIhdGsNynvO4g1Ta95PjxNyBp5hhthibQHJzeckiP94jLiHvYCA22dX2/zqgbztXHQZRSqnWMVZ4jLCkUOusW5pCj4SvDbkWIx71Czo1QnU3XBNqrGA2gji0uTZaZR3++s70nrAYWRmKDQ3cLibiO3hGymxGb4vs8xvqUNgghXkZ/kquGa01DSR3jPKVr2/W4nSL6Z4wGGbefTVdxDUWQ5nHq/qN1hsOOZQzLcd7O0lkbAz8CYuP3CEnm32lJoT61sMKGuhr7DJXOYyHsGuKeGIOBSwNfP88xFu9cqy7o68XVJo7R1KY2talNbWp3Y7uIpbAhvejahBhdYBu2qvAU0ogKY9c1gbgoXoHoj2SoLHZQ8YJzo/BQVjftLLXLqHK4XUUTEI2wcsfGid63Kylb2qvSYpOaqC8QIyMzlArT4r9K+yGOVSreUVWFfRqFEAoEozccw3t3xyHXbxNRGLwO2yMiI1uAbFBXD+ndZ5cUpZEYD/Ak6aqqL1ZXPmfyVFCB16lDQCeqVxSVu4ih2A8y0oMBoVCytAmuBgJAcz8BMZIx3LZvMrLSLYHeVGmHc8J1EreBXUfjuQhENWJjgzwHrZbyfKN6seFAAlB5u2LFtt7W3seq1jwtyu1RSS+MGFVp0+LnGWX4vgZEFhi3oIqd8ASCSYfUYezJHNLnxQcakDcjRix741rQPPBg3AhZErqVjUM5joRUYXfoQ6i0fLlmA20MwDtBCKnDgjPXyDEOQJyEGCFWguOzSek6YagR1YIVBd7bIi5GUnMbegLVwXUDwrc/EsKAYVggbzkYtkAiuyMgRimdtEAE4364sQchKhSDRC+Wh+PbyBFNV/sRMcpWG0KoLJenpB+Buqtx30AniZbWQFCXWcmG6/VYdykNTdyoRPkkU7+1Xzp9J8aopOoZoQRC5OtrRaDKW3JzbO6JW4iDZjQQZWSLZevVkLYttl9lxAhoCe6r2M6IEr+zvRrHvRT6CfUjx99SzzBc7/EaHvCijD7hPPoqbXZzPtts10EZO+wefA5CjLhr8bjCfkH3iq0/qhH1wniLcRAXx4gMrgmvnRB6olZGgdoZUVnexw4dTiMq7N/F89Kc0YIoKsQo89j0LOe2czixnuEFP4zbLBDaqT0/24QYTW1qU5va1KZ2N7YJMbqtNiFGF9hmm0BlWHXLlI4cI4c/qhJ0UCvNAYGKmHNEjlFwAljBZvt/haI62kJEh1yt8EWF/48Bg6xWG9Kwj2BIVpiq6oPfEBUlYyXEMbLiJe+La/0j+gSUAOgK/n5tuyKyg4rxrBPHaK9qCsdTWuM3Q3r87EgIVajwciWF9f0BPipSUtF/SOesvxNxAJKgaAVwNtBPQIzoDWLOAd6/jQoenCRXmowJkZke+QFCbIBEAI3pwBGT30nmGO1V+TVR2cd1GtGDCOotOUaFySHfpz7EMMA576r0lt0DrGodOkw+SluzkmZfgl/S1jwunLPNFI0U8NCBQvQLomRUTm3iPOmhlBGjqHa9H/5KFSy8Y/xzWcEaxeJ1tpEjN1WRYwTT0AGmlxqXQFzge0Oe2tqqp1GlZGgzDAGrA7QRfXODEEuBGBFprTJnh9wkhwYv60AN8e/R2N+8Hh5jHqb2/yHS1fAcgcbweovnxMtS98FPmZccI/Hb6jFsl+hRSbkQlyRQOAy8WaBpMKq0HVbBMQL6w7Ekg9D3dpd5bhznuGbw4Jp16dZenlwp+HLnOUbk0ACJ9LnZjNHXl68fERB6fZljtJAvkDlG7TzGpMxFuz14blZ+5kuX3rO/HKgxxh25YeK4QYao8WODx+xha3RNzxkioVA07mIf7HMiOoEEZ1RwntLNTWzXyCvO10aeZQA2xiRQrxzQak4ckTHFtuh+IEIPSpDChWGiSlNUI5xCNXmPk59ZjH0/u2WMqUcq0SqjQOlJHKN4rh6ES5v7eSfhCJPinu3Xi6xNE6OpTW1qU5va1KY2NbVpYnSBDWiAYxmyKk1Bp6WagUGbUpGxCiPHSJWNXHWBhDCY0iiA0ROsyRPFKRAjef7kijkjRnZeDi8WoxeugMJrJxxkjRgZncihptl/JxWqtJRaqL76lG5sVnSDhacIOUbtIWJkvhP/rYd083QVXkWN3WHH4701AEoaVWn4Co5RxJiQP4TKHJXn0cD+Bi9nn1VpVXBy4NezEW9rp6pQ6ADdq1up14zALMRD2ATKVHKM7NILVAbnxv50TAMv+nDAMcpeJWj8/ahgYmW9q9LbtveHskzIIl2EwQGDmgZOxUaM5jof87x0PfF7HP4pk1fDGwdopX1mRshw9F0hOmFkxo7lBZI3Khk1rswxAjoX0EigdDhfc4w0htinQOzW9glyH8QY5vXHcYpjRLRRHCMoxey1E6o0XUuMI3OMrEoTx6hbzYheub/NBzngGAltuNVv+HpyYvahOsTrqFaUHxX5Lgtfz1KVNtCPh/ec1FvZMV59l0OL9zMq9hz5wfgMhw6DV9UtFAINA50+Pd4ek6tDjpOQSHCMTqDY030H7haPw/e0Q5k1/qxKy4GvRDdGF3a+pg2+F44d45zXR+PTMTI4ByJGu1nqVtqmng14PZWnVNNp/3XsE5wtc8Dson5oFjSq0sIVvEo9EKOF1IRAjIBWF+eAa73ZzuXbpOsqDyGjdeFzFmMW3mLmgLl/AgGFjDPQbo6P6lCVhr9lPhH60wpVoEzYrSNAmMVk5P7w/MADzHwzjSM/I6nI7A/Ho73r7iRiRIXhBXy92No0MbrANsOH8XnyNW/c8aYIYqoT22MpDctnTmE20ZAPMV8dGYsRzu+LwXog1z+UsYY1wDgxwocZ4WsRK31MeA3jGSjXD1g6+6jpwXAg11eG1sAJSkon2wWt+vFgJPTPiA3BzJoMWa4Pw7/dyTzHQTBPSB8i2PpJL0M8PIswadLDxknXXFaCfB7S8FUQRjkxGvowJbQJI94Pgjce2khG97KXpNH4EOCHgj5gKB/Gh/s2zBFzvICsDLhUtuj5mgy9G2GWeaIJmty9HqD4UKLaXpMNpq/vU3r72T15WYJ9yg/H+MAg2RcfQpT0V9lU0uaQJpFif/iw5bLJHBOjmGRx0uZJrMahl0QcrUDTPpstcuIxPvnK5T0ulTE7Kybu3Vr5eyARa3zgBehLLGUujsZcKS+lOSeOy4WcGIG8HedEAjnIxiX5WhMjWCQgyiRP3AZf6+gXT4xG0q3iO0q5foXJdktyPfrsbI8P8riP/OGL/cVSWkG+1r2GLySw8361XN/E30Kuz76FKSeW5dZ9Qb7WhyOuVT/XxAg5Yl16zPhpGAABAABJREFUvL3EySon/VreAVkacnbfg+wv23DYxHIYJ1LcRz/mmmECGxOjcQyQfO0lKZ6j0u4lTUfhQfI17kmMuZWuRZE6/57dcex3abl5fJ1iYiTScTZJ5S7GCbgz1jCueUx4DkF4gGPGsjuI9lgO9FL0fEi7s5DB57gNXF8JQvKkXeN4h8kN9oF7ghOpyO3Lk0L9ziaiWQjSVvFeLwn7XlTxkydjBaG8XEqjpQaI3x5vur/z/YxrXyznhlxfE/w7Sb6eDB5vq00To6lNbWpTm9rUpjY1tWlidIGNSEhGjMaltICfFbpp2ScrQSFGXrohKhBLUYTkBdOPr9eSCmGDc+Rryf9L23xO9rWEZPTCMHkYpinAdn/O4t/BnEKnRjh6JBwTXelT2m4WRIJQMVI6283YD4CZbQbpCnqGyv+0yf0UAakjPH3T+0clrhBTVqNGjERM53GtEXEQie6bIcjfRIxEqGRKeq1lHy9/IEpFUnKiT6oIuTSFyno7Xjf3YyBGqni9hGbytdE4nIONFEm+dqhkESaLZY95jJF3nl7O6J1J8wOXTxOXjyg/pqlklU0gaWJXLAlQ9g6TQBzSArEUYyWcydcg1itmJls/CGm4rBh5IyRuIOPzcC2zJ+AnufOqj1gSLBlXo+leiyUjhKCu4W2gytoBtXkpVUuHPNdYYqLZI8jGrsIBfilmAcvJSKf3MowRIxB121WV2uNzyEY2N9SmtP+buAdXsdRyBvM+x7uAAK7oBlyjQFNKuX4EsSJ53snojpYoDR4joT5sHfB3h8RyvGJ5VsgYlplx7Rkgu2zTE+0RSczcvxCgedUTxfESdpCvdd8XS9u89xVrUcZ3xEPoUDLvqJQY57oPu/H4bCyJeBvcK8MqonCyzUJK6fHtkewSAv4h+Rrk/zbk6kRiuqcgXwuNIfpIxKjicwPjnIiRlvkOltIWEhIU15AEcjvNFrYkaEArTQxnv3ipiiRzoT5+fnIcjUuMFlPw73rmkbBdyvVlgeCIJwtB8DMQpxgLozjGophs8MhT0TPCBo8T+fp53ya5/tSmNrWpTW1qd2GzJ9az3caLrU2I0QU2hCaaU2JOgCW7DjJlZQKOKioyxh1E5EB22yNxNdahS2loRk8c7Fpkx56v/DP3VsiBQ0QdPzLyBxScSY7MSL7OFZ85RkVMiFGgGThGqOK3NZEgVIzkFXXgLA3kxrDSVRgqA2HrPtWnswjdbAaSr0tC481+kStDcll0ziYNAw2qt3E89bpllQ5ezj4Fp4U8FpkwEkEBmqMAUKMD5BKJY2QEj8aKOO5NcD6wrVnBvyJqBCKwKkzyFjK3IKTOjt4oDR7JMXDYbTZ4TOnx06Ns6+DrxdiRZSKvhv0Ovsd8RB3YhzZ4JGIUZPcEnkrTp+bMvCBJpItx4+vmfqTBoxEjjAWglgVhP/M4Sp4F/r7uiOjUu4LcXZCvr67GYF4H3QbUEP1FqwjsD1YKquxP94vMITOZOcjblUJNFXmh6wQUhWR5WQME6Vby9HMcIxzzydAEYjQPE00KGsA1AzoiThN5+DL/8/i2kAFBv0QkhKxk1FRcFfcp0Any4tZ0LMzmqeYYgY9ijtFy0aZr+7XI1yLvi2MEY0ueP81hmbJ7wGsqydc0hwSCY46ROFyOBMGxMTAW5OskuTr4ROJ/YV84L6BeQI15ryy7cQwIYLm+Wcf3S3EAa6FgQozA75m1PYnuT0e+5jNCSCBQXqI3QowwLjJxGXzFsxjnI9dR6GRhqurtg0Dt6zMiwPozzkeCltEywHytKsxQhRhlo1k/L7BPn4eCooNj5BtC18fXBcfmgOBCrj8imBqbd5h8PXGMbq9NE6OpTW1qU5va1KY2NbVpYnSBDUIfRzqcD5EdDdpsbx8cIyi6yAsxsiBFT3CMUsEVKVVpqpCfKkT2aeT6tBIAMiCzQaNY4K0EggMTOkg7DvkJrtYMKfC8gKoIuQEfoCYPIyIGUP2i+oTdPs+v4Bihom5OAoVB1TQXx8hoxc0e7nLxMxRrYfJobkfFvsxV92pPpIuIEfs0XhOqNMj1VakC3cgcIyBGVULRx9dZlQapNvoBHJCsShMSsEMlHUiOjfLKGJPgb42cHF4jVOSszBVVUMj1ccy3TlbBMbIRKPoUHKNFIq+G26d8vyIK4JgWcj8KxCgsESrKxM0xMgfL46Y+xzFCH2GfV+vT8feFKs0mjIH0CKnRm+tVS5TPqiYbPAKFgyrt/vXpk3gt5IoRNbHBYyATRB6aIeJBzDHCPaRIEOxj1QAxsoVBoD4YA5SNH7WBHlDVqWO3tB1qQo05jCm8HuObZp+W41OtGJYRUEIZZcimpOIArhuo0mTDIMSiNMuEKSPHGcZI3aV62WZlZeYY8VoFtw4/A4W6tjsaUTwhxpTU47h0PkRgfd8XIbJGmBnzwUiQsf9oilmgJxzLQohG7o1+RsgqbDOIAsa9Ml+3svTQSVRSngIFXASaGTEgA/lQo43IkN7T7+PR4cNxECyQOdw/6FZYbCwDXTGaRR6PEaNFT8SoVKUREXRMkVSxpSqPnDxxjEa5fnD9eP5SZ+KYswoWNgFEgAvuFt8z8vO4rSKIueQY2VLDdiREIvl8FS1HCJNR/FDNjjzEO9YmjtFttYljNLWpTW1qU5va3dguYilsSC+6NiFGF9istmLFpwqvK1VpuSpRBQjPGhrIyeiPyIAMF+Fpg7JXlROjC2Ri9iSDR/vFFOoiNPvk0KcE693zCFHNAaGogKlK67MqLa/rF6q0A44RqtF6CHQFx7WZEZWoup6GdKh+gUDZPI6qKPEMAjGCYkyKn7o94Bjd6Nf5ZyITQIyQ66p1fXoQab+X19usSoO3jX2MEB/A92MfQsrMC6HnjKrUzP0SJwF8LKBMVFFZKYfDFMeoafCmqvAxUiUojhGUee6f7OGDPgdi5gBM+A3tU2pPItQ0I0BEmSoqmsCrCcQIAbmhEosNm8ugihNePEDlqopoFjlGrrJd4fUjV8oGj1mVNjsrEJIRAsuIIpG+4FmEeq5Kq9We1wz9ntEAqO3EMXrJ6kact1VpQjXM3QlkQNdkiAobIb++vpljRMSoSqsGcsCCvzWPkGBcc3smEckx5wavK7y/iHYMiwjsxdAEGpOEwOAYZgNDaxnLI96dOVe8l2pEpwRiBLShJuTxNKq0fags0UceVzHGYjtAf8jjGVI6XuzSDUSS1FWMc6Gm86pj3IrvNxpEZlXaiOBmhAkoCO7nHCIbBqV+LtBLp/AxGjlGQi7AsVGsCZ4BuC6r5T6eL4ySifedbQJJbpZxoDZ4ZAitVWltn97JZGdzFMfxSBPJGp0otHgR/U3ESMpd+xhV8yHBe5Tfm86j15Uhvn5QMYgW1wKop/qn5FKZc8dnHkwmC48xexaVPkbmJNJoV+i80WD0I5+zejHUmCXXEGPE45i3qrmlvies0CwQ2qk9P9uEGE1talOb2tSmdje2CTG6rTYhRhfYgISQE0DuRXBVWDVyDXqsTOz/QkTDiJFVa3KORpULXhEa1/eFnrC6tDrlvPP101zNrEqrC18OHwMQo11wjOyyfMgxKipVKUKoLtvquDYVvW1QhYJTgeOjKq01YjRWaXhdc4q/B0K1kGeN77vTfpn5Gai+rRhCVc0QU2xfXjD3rM4ysrZLUKYEGmJVGhCjCHgdVT2sOIluuJqP6xE+LEC6pKJThAKv6TYqz8UcQbVjv3jVPVRFoVqzYidXpTg3q6bovBsOw/UtxH2MLtPhng21zkBeDTll9DFSVZpVaQrDzByjqNjBS2rOAikgR+KZOEa6lJdno48RxmD+m31nhCoS9YTaCe9ZbckLo0uyuTw4HqqLhvTw4hxi5P4hYhhoTyga1e9NhBFblYa+8JhAnwKtCQ+cQFpwT2Ab+JeeSUS8pHojejRK6IzC3OzWCi2NIOU8hsGvofO1gpzFSyFyYVVaPTBsl6gHBYAj4pbHNDhG8jHCOEUf+W8O4cVxbc0xSildXmwZ/RE+RuExZkQTXkIWv/F+xNgX58tqNSPM5tiYu8J7XcG75NX4WpRqLbp0q5vaUIORY4Rxvk/p0ioc0TPCjXtqM+fxAE0yj45KO/hCgWPE+6dPj3VXDlVp3FD0N+4fPi/QB/BDanTfFJEg7Md5l0h/cx/7fnOfWn0rRMpBtOQs5f5WX+wLfhL6UEG2/BvQJPV7oKx+jxXFI8eI6L+f2/Znkju97wPeL3JozwHM2ccIz23b1x+GNr/f26RKu602TYymNrWpTW1qU5va1NSmidEFNiAludKS8svozqhKK9abwdUBYoQKTogSeSFAQpbD6DuDyh+uzXmbCjgsr55UbtmZt1Cl4b2s1ODFU6jSqKSgj1Fse8vAoafISgMaU+QGAQWCZxP9hLYpLZuWFSN9PYB47SKsFZWs89Bw/qiu5ycDq1NUV9n5Wudxs1sFJ6MaiEwQKUJRqtIRyAVUXfjxvuUZ+xvVFzhGcF4mxwhIEDhGZ7EdVumq9IkOZI5R/MvuhSqNPkZSUQExQn8PVWq2PfdJJMdqoFK1Bi4D+qGxK/BYkZPXlbPiApmAw3BzK9RA5P7IyZfI1rInr4ZcBvlOgUMyqtKMjER/0itqFn4/zan8dXBORgtwXPZdORgrKV0xYgRQAqovB8w68JfjtRpDZKtA6YDoZA6VvWXoSN6nRxZPxO/Rf3JC5pEYMZPaycpCjAHwfg45RjEm8BojRjPwu+T/guxBXK97oYCzQsnXRX5Mdh0mx6hf0h+KPCVl4YVaccxmA+eDXCUjfsrpw9dxLcQI96o4f/neED+H3bsPleXlZYTz8rTtQQVkrG1i3A9Vuro4S6e7CFnGmPQ4BIcpvHeCI3XIMRpVgqUqLThGcd7MZsshssU1OuAY4Vh1bRQsDcdt3LO4V64sN9F/VqWhnQVquV4EYkTEshlSK8QEaBw5Rvt7/ODJuXz2McK9zmcb7scl7utAyux8bX4O+XLmGBWqtNLHiIieaXTgCYHGaLSGiIzPr+BHkoM5+qbxXycOFPmQHJtGgfw7jAc/t30PFZl1pJ7p/uafpEorlWh+xsc9dwchmEmVdlttmhhdYOOHMZdSDMfCgC2g8SwLzeTrnrA3Jw7FUpoDOLnsogcxl6csx88ToyJk9jz5Oj+8C4NHmRCSzOslOi+HYGmLS2k6Vv5ND+xyKY0biw8TTjjwwbuJpZzUxfIZ9lNv+4CZbeLo5bGmS4tbmBh1fDDmpbRzcn3sA5MoLtOQuBn9UC6lPbS8GROjxZD2CL+VgRpt/nEtTrsgEPtBpw+SIKPquuj8KNfvqlh+Q19ZGkzTTnxoYIlrHxOCc+RrbrONZUKT7P26kHkXSz0iX4OATlNBxwdwCQwfGB0nA+zXXRjhEcovCPCxlBAfXPiwTXXFD5352ThxLk1A2f8OPy3GxmV25EiKd3OgMX/n0FJdoPuWp5wgxmSzSDznZLNPj8zHiVF8qA05ysKRIJm4r+UPkI2zwWN1Tq5fe2IkM8diKe2BVVgDcEnG56txkpceZ6VcXzYBLCBk4wDyNZaymgiSzZMdfGjLagJhu/yAw/v5CRgfyk5Ux0QOfcGJ0azjhD0vXdk4cDaQKI/xin1cnZ+lDSdGFSf9YfBYpVnSZEHXDucaS2OasNtfUsuEHIrstPGDtj4v1y8mRpxQYyLviZHsJGIpLZZIcY2jeIr98dtNPBeOF15m06R2j+VyTQgg128vP+kz1NchjDIrFhlYLmPwtOT0XKrV8tIcE6NTPRPykrAmLxq/B2MZS+M4HRKrFSLbPIVcH+eN61rI9bnsXAYv617OAouSfJ3l+lahgBQe94qX0mi9ouNiQSNBSBxLzNruNPk6j5ln+fViay+4idH3fu/3pg/+4A9Oq9UqfdInfVL6lV/5lWd8/T//5/88ffiHfzhf/9Ef/dHpp3/6pw/+PgxD+uZv/ub0AR/wAWm9XqfP+qzPSv/7f//v9/NZTG1qU5va1KY2tedje0FNjP7ZP/tn6a/9tb+WvuVbviX92q/9Wvojf+SPpM/5nM9J7373u5/y9b/4i7+Y/vSf/tPpFa94Rfof/+N/pC/4gi/g12/+5m/m1/ztv/230/d8z/ek7//+70+//Mu/nI6Pj7nNzUZ47vvQgJSYDGrEJcutiwoolmoi9iKIyyazBmnSyypEStCAIFCuP4xLFKrE3LhE8DRyfS6lKQg1pNsmX0eo6mzX8b1bYuSHMLwjQRyBwOUOka9xLECMgKZUXacwUYSxdgEz10KMVLFyKe1Wx7+julrM2iA0q4uut0d5CYQoCIitlutXEahKgnSX0oOLm1yaALLWJVV3OD6ZZ9ZnLfuES2++BCzDy6W0cWkK7wdiFDEK2idAOC2lrVHxdk82eASSh3MYEaPDSJCMaOCwEPa6G9L8lsjA6tOwFUipXnbp0jzIu45wIYmzQIHKsGBaIqAab/apPg2jwbz8kLQ8qDdaDu2xeNnLV/UQx+4xI4mxjRlJvuYvqvTA4iSumUjEPE5bILR9erS5No5v90FGjGQUqWVYLzGBbJyX+5BIAQsHADP7RLSGxqCo9EVaxTaAHD0MawAtpZlojNiJfB+J7HraL8JQkMT30eyTSyY4HK43Co310iIQKpXKl+qtyNc90awnka8hsccx7mLM3r+8lStsh58CqQCaWm/iPK/OT1O7jTgOjh8hjFyWpZVBbJ/vocnpuCzlJZ2Q68f96/se18lL7vlZU4ydQKEl16dNR9gT4Bxm20ACcY1LiTrH+Fkc01UtE9KBBH2GexzfL3DPdOndu8ujfF3LXkZNaJSppTSE6DJ4WkuuXmJFWy32aX6q8Oz8vCyW0hQu7eVx3s94HcOX1e9AbkQy57UQooMlY183An0yc+T3B0tpxbIcYoGEejsqqLy/jFDy2vEZIGK8jXF17XCeFjSQfH6Xk6+/930EMG6nve1tb0vvr/aCmhh993d/d3rlK1+ZvvIrvzJ95Ed+JCczR0dH6Qd/8Aef8vV//+///fSyl70sfd3XfV36iI/4iPQd3/Ed6Y/+0T+a/sE/+AcZLfp7f+/vpW/8xm9Mf+pP/an0MR/zMemHfuiH0jve8Y70r/7Vv7rDZze1qU1talOb2gu7/bP3EcC43YaVIKz2nJ5qWf25nBh96qd+arpxI2S5d7Ltdrv0q7/6q1zqcpvNZvz5l37pl57yPfh9+Xo0XCC//nd/93fTO9/5zoPX3HPPPZzhPt020bbbLfug/EKrN0BCxM2wTNkcEa3Zl4gRvkxAHjlGqlqWfa5O8D5WguIOmPPhKpevcSXFH/RLV3zkFYSknORk7cvmf9Wu5baAGJXryQeRIObJONoDfBygLFtwQVoiBjRbw/Fv9xHQaIK1qjSQtOc396xOUTESHRBfArs9aUOuD1QE/COSr4FoKHYB5o1AXLC9l8yvB9mdHCNwm0KmTMIrzvl0T9Ik0Q0Rbkk8lXzZlv3BMQrUodlEn/v64KCBboGTQaM/IXtRvZp0GZUvuDc8dnKMXCUaMVJIKNDBPRCjInBSlS+uz3K5T8eQh6uyNvk6c4wIG4jvUoc9As4Z+25O4ERZcCoy+dql8HhdKb2vmigGQb4tESPxnnheQht6yfWB0oH3AwK5OSDBsQrE6BFLk8lrEcphAi6sIoBSAG0EikckBbwWoFrDyNmpRL5uEXS7zQiljfswfiFMeGQlPhOjJaJrEE3j+8Vy/VvtKvUIP23CwDCQVZGAyRHqiSSQmKyYEvL+dD9drjfRp+YY2WBQKNhcPECMRYzZhxY3R26MyNdAoHCtwOPBJh6Y30z9TnES5vLRs1PIrpAhvkexONU5ub77llyWgmOEa2m5Pq5baZ2QjQ9L8jUQI1zr7Z59cv/iVlzDgnxdwwt0SOnKHIhRvIdE970MJYHWgGO0u5T7P3PwhEDyGUHuXErLeUt0zxwgjjmhPEBm5yfnEKNSKi+ENT/jgPoQfRQaVHB43JcRXRMI/WjwaLm+IoDM/zQnMXOM9Czws9lIGHah8F8+n/GssV2EDSJxD5if1AoxQivsMd7fzXy1Z/WV3r8Axu22n//5n08/+7M/m/7QH/pD6Y1vfONzOzH6r//1vz7lMhMmB9/wDd+Q3l/tPe95T+q6Lr3kJS85+D1+xuTmqRp+/0yv97/vyzbRXv/613MC5a9HH330ts9ralOb2tSmNrXne7txDgwAQHARAMbtNoA0oL/g8/ibvumb0sd//Men//Sf/tOdnRh90Rd9Ufpbf+tvpaqqnhISOzk5Sd/1Xd+VXgztta99bbp+/Xr+8lonKjVXlEAuUBGCJ3B+yk2Ja19FqKUVlZJgR2US6pcdVB/Fe8MUrwo5rQs6xxM4FqFAi4jaQGkrLgsqFuyTPBJJSlkBLhqqu3Y9IiZk4IaKE8fUhQQ9du73ySwSwaB1BHu290BRJlRpobTKvorYCsUooNrql3UaGqhthnTSLqL6lCnbtf06E6Nu7RchaZ6ldH2zTu3x/EARApSI57rq0ns7qGEUJEkYBPEaTSisIgWC20F/sosU1YLzI7+DyrAhdfMqKnBHodAuICIQqJayIkjKPFyLXiouKvq6sV98LbNdg9CYbiX5fQfDykANzA3Cz4xVUeXKvwnBsdImx0GIt4JjBlIx1KHWKs8X/57tm9Tuar7/2nYVxzdP6bEezCxt8pyah9JvEknid2/f3ctjBl8n9986+pbIJxV0TTodgm/DXM+5xpaOpV1VVNExdBZUNkuXq5RunCo8uAnUkGiPImrKwc9oDyB9+5ROITWzFBuoFswwMbZxDro3uvWQniBvLcKZbbpIebmDXqFyE3pDmXev6wKUr52l6+0631e7rgkEzaqiKqV3bS5H3Mi8ouHmE/ujQMfEITMqhO35uoDTk8AxmkdMi9EKIp82BcTxd7O4Xz0OGN46IkAcg7jHd4EcPtZeCWNVXIPFkN67O873843timMS2+R+FQbsc+kurbhPWEDsthoI4OKtxmfKEvwyKPs6KcvQp+D/wIz0yird2i8j4mM5S0ugd8W4xf1MJeYc92Ezhq3WKZ3skH803iN8xukRwk8ojUPHK+VIDxm3ls9X2h34fqvH+wD9lEOb8TMMdMXtys9Yx3cI5cQQ2+zngdDTlkDcRMcxmaMoNJsoNJR+NnAkJ1OmjovZGKh9J1VeFyjXf/TRRw8AAUxILgLAeLbtK77iK9Kb3/zm9Pmf//npcz/3czlXwWrQHYkE+aAP+qD0Uz/1U+TlYM3w/vvv57/4+tiP/VgeGJRd76/2wAMPpLqu07ve9a6D3+Pnhx9++Cnfg98/0+v9L35XHjt+xjk9XVsul/ya2tSmNrWpTe152y7CuXqIfwAAXLlyJf/6+fYZ+Nmf/dlEst7whjekf/2v/3X62q/9WnKQLl2KJd73C2KEdcP//J//c2qahstp/+gf/aP0aZ/2ael3fud3SLL64R/+YSq83l9tsVgQKvu3//bf5t/1fc+fP+VTPuUp34Pfl6/3uqRf/yEf8iGcHJWvQccCnnu6bT5TA7IQBIeoPHMloaolIzyqBiPUUuCKKyStpwMRaIU2ZfWZzdU8iy+qJarA8uK3GqrDRjEgUhoBPciRAnwNqv2aKrhW0iVWplS7BBKVFTsy6uP3M/0eSExXp/09gSbwWBaKsRgKxKwCf6RP3QLco5p8kNM2qki+B4jGbj0ikLtleL3MUrp1tkz749k5xAhIVJXqVZseb4+1X/0Z/QRkyso9oS7sT9vzS72SkZl6SN1SXjviPYBnASSGXkos5W3aKHM9VrHRJ6xm5RFF80bzCcoHE3gjK3EiUI3LII4eK/oZqN24HyENHh8Fdwa8laj+I3gVY48qNiNGQuLQh+CzAG25uV3FNW1SeoxQQOwbqFfZf9kPSuPt9zZXANUQzeGfe50Hw347+twMizqd6lixDyAoNgg1YrRtayoheZzFk2dzAqgrzve0WwSXC+9h0uj4OqAgvH776oAPRz7NXKgAqnUrQY+6dH2/FsohM02MayOLQGmwj22YkYKb4qgH3r/7WboF2EAXb4fxYyRV/fSe7XFGOM7aebq2P4p7FEhMYcKajVLBn6tahtia85M5QClQRyOsHRBBxZjEPefoi/g54lhm3Bb2/5795RiHet3jm3WOCjrdLPL59/MwuqRfGsbwUKX2UsAcMHnFeOHpAdU8Gp8ngRjFGIQRIzlmRIyqtL+yYDBuIC0VfYvsuYV2ul+Ejxq8qIByeVzXVdpskbcS+wmFWvQxn1F8lo4otj3hyO/xc6nwNSJvSByn7PmF/sJz2OPCfCsbMJaujbonHEGDaw4/KqO2vFd8Xa1Kk3kpG5+XMtoF14vHhkBoxL/4Wr8wDROvXLly8PVUE6PbATBut4G7BMU5RFNAsD7zMz+TS2lf/dVfTeHVf//v/50cJ/z7fg+RxZLZfB43EZRcd7KB6f7n/tyfS5/wCZ+QPvETP5GKMhwPSF6G1D7wAz8wQ3x/+S//5fTH//gfT3/37/5dwmw/9mM/xk76gR/4Af4dy4J/5a/8lfQ3/+bfJIELEyWsVT7yyCOU9U9talOb2tSm9oJtF4gYva8Ahj9DDWC86lWvShfZXve611Eohc/9T/7kT+Z+4UXo9lVf9VXpO7/zO9PLX/7yA4ue98vEyJOi56J9yZd8SXrssccIj2G9EstdP/MzP5PXM9/61reS6FWSs370R3+Ucvy/8Tf+Bic/kOF/1Ed9VH7N13/913NyhU68du1a+vRP/3RuE/4L72vzmndZTRAxKtawjRoRicHavNAchyhaUUNEoK1T49dLumXH5BKBIl8CFS4rpTHgM0l14ugJ8Ar2p1goL5AfVnh1qhYd4xZ8/ObnoCIkZyYVyrTCsTn4NXXqLmONXWjDUmG04FHBi0X9Qo7RAlU91DZtOm0jFsH8kuu7VUYBwI3Zg+sAROp0LsRo7GvwMXBOUHI93l7i6zoOzegbHMPQh5qNxyW0jK9QEC9DeelnExElRLPIIQi1HlCtoYljzBwjVq9wTB4S6EAR4hnX2Q7Jwcka+U6xU3E5lhUd0tGvVPE54Bbv7aq4BvJAiuugalW3HbkVUBI1Xdps5kQr6K8DZIuIh4I0pSpqd434LCmdbBdpKWSJgZ/qa3ttldwIIBEE22YpvfP0cvCV/IIh0LXS0wrXdSPeV3Bs4vqbG9OuAgEhymHEyIjnaaA/6DuMCaj6UG3TV8v3Fra7iOsCpOMMyJL5GrovEhGjwn9n3aZr23WgCAXHiCoqwQ303gJihEOHv4y5eRgHbZVOMmIUyOjIMYob74kzIUQ10IUm3dgHKsfLqPskOIf2VrJv0Ig8GQFipIeuu98DnhOR0sL1PJ8fFHEYd3iO1Il8KgebArECN888nt0G5KQYY+h/+u7IDZ/9cBz3E7hyaVPThZ1I3KpP6XpcV6hIqeyDb9e8S3ueU7hG7y7XaQ/ECMjnMqXj+S6GvlCds33cR3x+CY30WNnvxG3Ucw73Jfu4UqCx7lXcYxzfhHNG1Dsj8UIT+8XI/YnrEAoyoOCggfIaz8O1v0Tds2pMPkR0Wsf943tCz14r7Xzd7JTN/fMZUPw+c4yC11UG1t6JdhHO1dVwsQDGnfQxAqIEsON9be/zxOi5bph1Pt3M89//+3//pN998Rd/Mb+ergE1+vZv/3Z+PdsW0CnknPHBR/m4TdBM/JPcE+RsmNsd3MBKu8cHMycxeJgVULEfEJ4k8ZNLzouZXCpo2HJSkm0twcYvkd5dPFQ48cFDYtmGYSDhbT2UcUy+0S279iRND2kTdXeX9LDjB2wVctUygRrLLjMspQWUjw92wOtaxeFDByRMzPfx+q2WgPiwOqtTezTOivCdydeXVrt0o8MHQDzIYimyihgILQfmPsYHs5c0nNslyS2X0hYj+ZrScibZ40MHD1TZMJh8XfUJiRyeuDh7LWdbFVYLeQUQE5UV4kpiqQxybL5O5GuMFRB4Kf+VAaGXHPyw5cSoCWPQ03aZIx24tLkYeN3yUto+cbnWyzbttklY5cSHzmPt5UIIELEKed6j8Umv0ibxwx+vPuvmNHj0Uprl6pB5Y1J5gjUqRm5oWc8+eZhEroLUjPONlPfxetYnGgTNwA9QL1ciA+/gmbzo47rsw1rCE09eGiyzKfvLH1Kr9S7d3C8lC3cFofgILcnguuHDnkTyJuT0iHrwEtHNvZcctSzsJHcd2I2zpfo0Jk5YTuKYg5kgJzPFp/cQ5ouYGNWbmBjZUJT3gJdxPWYh9wexWvcc7kvuW6Rf9s4exx9j8vHdcc7vwuTvZBOkZo59FhnhzhjLOj3HB8Y99ovCA41LlDTC1HFhYlTFAS2riMXBF4wYz3Q/4Gt3ecZlW0SiYdLMaButLqMftpj8YF+4x7ikrVw7LLuiYCmW0lANRv5bIWI4WEqLCVDm5hddXNvU0QWeCc+4b2xjoTy15gSTrKJ2KSdGIl93+7hHURtywub7y1EiuZCMDZF8DfsPb4c7i2sdE9l017cv+X0AjDvZHnroofQLv/ALd//EaGpTm9rUpja1qT3/ltL+XwCMO9kAfIBOc1c7Xz/fGyplkim1lMZKwuiM4x+yQVxUpGyqRhzqCsidpnaGxU3uMzRvub6XI1ipjPC0G9EQIkxjzAMRI0HBbKhmFrO0WLTjUpqqs5CRS66v15poaDIil0kgK740pr9je3mJA+fgpbQkgnNTxVIQpPyW69dBEM2kWC4BRfULci+U/ES82NFaSptVTDOnzF9yWv8dCIbN6PIyBBA6IkoiXyvpneeJapYRHNE/6DOa5VGuHwnkXuYElEJzvXok1xN1UQRAoH/pKcnXIHRm2b/Qqlyd9xVRB147mCg6QgDDScRoHq8iU4Ao5KU0WAdgqUkp47lfd1hqEWK0kXWCECN3p4mj5VIal56EUN48iSVOkOX5Z1XTXGKsgX7ENUeSvVEAk8VZSQNRW6P6rmM5VUtprtZZuaPvGoStaikN48piAPffss99APQq2yrgXyy9MBR1jGC5st4QhQxUY4xqYHxEQb7Gshb6GkaP3B+W3rSUhqU99xMRL5xPkaK+3UiGDoSrrSkaMLKTrwPl+hp3MDusdjQ6zEtpGTGaBVqmJXceB54Rssiw/NzILc07EcEj9ITLeHruwPBwdzYf1dZngVxHEn0sgVKuPgdiNEt7ILI4n74hmuXjmq3wInW/4mBwfWAq6j7C/veXKqJCFBEsUrrUhDmnUR3aDmCZGbc4JfUjUR/3OdEaIz/uP1mMEBEsECObih5QFzx0cbh+TOSlR5HvTb7m0paiWIr9BlE6XhAoJI7VRPEQW+D54OeJzWm9RBv7l1ml9h8xIEG+zvFId1Suf0FfL7I2TYymNrWpTW1qU5va1NSmidEFtqgQVIWY4KyKeWQHjuRrchsU6opKF+8zmsCYBlrWnzNtLDhGhfdWrF0P59bMWUGP/CZKq1GtKaKClThIwPMqrZd7mt3lKk6majQzE5eI/IrC4NHkawR7AjHK6IbM/cJ4spCkg9MBtACmhHUXRm+qKMnR2I7VeQdkSzLq+nSWuqMiZgCIUR98qPuWZ+n6LkimpcEjkClbJkR5jcDSsWJkk1yf14v8B1n5KzKEwb04T8n1GS+git4RLZkcLX4Ig3ltiJkHxvgtVPIR63BoUgcLAYwJGjwqRDVbDZhjJJI2GuTQRCUR6THryIMaFoqPULwG0bGdxhkQlW2dicHv3QfHiH0vdMhmf4FWBO+IXB8Q9iGrl/kkEaOFIzwQjIufq7ShDr4gX9PgURws+DG2UTXT/LBANpsT9VHdE0Wk8SAIwxyAehH6aN5FRMM+/pYjI0SIJuejiMd4YH2SzjCmFD2RkdoiuoExMzDwxVsVBBzGhcFjgTEhX4qxuw/ydYk4dWcxhnEdgBjRlBSHjePw+LPVBa7xbBD5GveBDsPbchiyyPs4DnPg3K+lXD+k/gqdnoWBJ2XpGO7gY4FELdSk3ii+g5zC4M85sgb7bY9seBkIGrffVWm52mdUZG65fuvgaI/jlPbHiWIJkq8XEQBse4G4n4UYoW8QJWLCPx4PQobHZ0tcR/ad7wFZh/D6zEZj1vzcVXYF72dR2Mr+yiafviU5XgqDR9sA+FEtVMnH6udLPB/imW6uF3l1Fr9IgJFRJcYuxXuJ0t1hjtGzjgMZnj15+4XYJo7R1KY2talNbWp3Yzuonp/FNl5kbUKMLrBlg0cruFAxmWOT5fUKNO2qVEOy67V2KnWiugF6ABSAKhspzTKXopzKcn3cMSJSbOSDGUMi+aM4CZbbZqUb19IrhjcaheE+pEorVTKslErrgbrgGB2XHCNxRlDpFagIUBeqUhoEn+5pnjbK9YfUbZVfgj7az6JyBTqzScnJDD43GNHhvfcvb6Vb4r5QmcTSTohGybXBpmz+JlVaIEbB+4AKEGgW1YL6O8NrFXvCGAdyjKLqJ2IEcMdcsqdRpRHFy9fFyjlVq6g4qWJ05T2L2Ayq0hRAqerUaI4r4jVUP0IEEbwKjlE1j9DdqLADfYSUOwJph1TBiFGKKfKy3J2SBlJU5vGrviIP5lYQ1aAYQ+Arvu+XQhHAMaJcv0qn/KVUUA5llVVCt+6JHkINhWp9NOUbqNLjdakjBochvDB4LMgjvFyLKLeBFpAPV8j1gZYRgYMaTBX+A6tbaQfeS4EYoeJHmPLIGwrEiMaLc/FpEIorJAacJ126kNyLR5ZRwNOIW6FRYjdLW6GgULhl1ECIUdWHKg0Gj+YYgXdnFJC7Ke5NHgc5RlJR4vdWWUmuT44PtlVX5DdZnVojsmOj+xn30Jm4R4VCimOpCaUf1JJoQOJwbDwWBPmuxjysVRWIEY7x0lxhx1CpYSji/qd5bIyNK80mnlvm2wBtIyoLFEZRMeZW6hx5D0NhqzGaVV16PuR7SZy83E++13Jw7CjXz5xMco9GxJjjhf0+coxyaLeQex4rUOZCGVpGu5SIk9EojrUizJvfGzFSMPMdnWhMHKPbatPEaGpTm9rUpja1qU1NbZoYXWCDSopVR/Yx0tq2qpbseSHVj6v/4PVAzSb0p09pAU+VwnKekQKZYzQqrXKMiNbfjVih2Q/GvkPw3kF1mbcrFAjbvLTYRpxA9uXQMSkYNU5QiJcNHgvEqDsW7wJUCvFLeCjiScUhKAiUiFFL87SMaKEi3NTjMv8WlbxiJ05RkUIJVqjSdKz3z0/Szd2SpIJSlUaTt3M+RkCgDtbMYdSIa4DrBaTHx62KnHwYcHeAGKnaY5UIRAAqFXKMrEpTuCaCZ0vECE0eJ2jdSkhOq76RFxW5B/CDgSpNPBpzQjJ/KklJg7QLIEZSDEIxR1RgAYRLaIbGHK43EAD0L9RGHDPzIT2xOxrHnqrY3qosVMxCjMivOo1+c8BtcHqiTxFg22wigBeqtOybI08p9g9+t+qJHtbi08XYjbG6uDUcxOAEKhcBr2WDdw4QBSI5CnT19armQP/AH1LYMYIrlzfp3RQco+hHjHfGWYiHQl8kgCKzFMGnBfpKI8l9DCoqy8CX64HGjBwlIjG4J4EY7Wfk2RAJAo9J4y8MGoNjhGtKH6PtOVXaoGMpQmQDtdK9ap4NUcTRMBV/xzXG8cPA0/d2qAV1vTE2tkIvxEsD8od+wblAlQaOEd4HlI7Gh7rOV1abfP8uZ3txjIZ01Oyin3Dd9intL+H+DZNT3OP34KYtFWM4D9xPCG8Vz9F8Rt/nWZUmZMwcHY43obO8Pjr2p4oE4f3hW88Im5+PhY8ReGY41lDDHSJFvF64dgugauHJVqp1fTmtDvT1ibETXLn8zJEqjfdpHTzFrLK8A23iGN1emzhGU5va1KY2tandje058jF6obcJMbrARsUFqhmvgRMZGtVFbPbNoCpNPBhZ+Ls6wjr9Avb7+yer0owA2d3VBsJRdfr14qOoqqLvkDlG4giMJjahIrsy3xL5CadiVdioduWFRFTFFB4rpaRMg4fPcAmlmlARoDW+IQtVDTlGtPuv0qpuWWEbTQOKQE6RDsvcGPQXfXLWqtKtSpOP0UOLGxE3QFTFXKwq/IJyiGxUjuBXGZHjNWKcRVSmjGABymF3a/i21K0CYXGjBCIWFT2ccKU+s4pIURXhll0YO5+ruPpljA2jGFQisr8DZaS7MhGj4AvZkyciEoQkVSmtAHWp+ocrN7hQ8KICb4r703txzhxn8wIxano6NLtlfxftw2iFVWnwGUKzxxIdzfF2IEbkGIU30YEqjT5GY7XNiIn9jP2W96O2uBnHjGvQgouyt4+RuE/KylmJA0RVmuI5jOJBsRYcL3FHqpT+wOLx8HEiOjeq0oDGGv2kw7fGGZV+QkqM6ILzlNFecH54nOGQzTF9FogrKU+IJIH6CihIY+frEYEAxyh8jPYx7lSWWqkE5CY/N6QK8/Xmc4L+RAXHCAgwUB+r+OD9pfttMe+IZhF1JMdoDGTNHKMW3k0dUThmClOVpv7QMwWqz/hBxw0fo/2QjokYRb8yjPa4SzO66scYvzzbHKjS4PIPFA2oJDhFHtfkYwHF1nPRETJE3OxjpPEcyGvcW/Z74vgwcq5nnp8hRLqFoPL1hSoNqr0DVZpQQf6rGBL4ZvFYHSKLcds/RSQI/aFG7yeiz04bwHgUwkpO2IvA+fpuaBNiNLWpTW1qU5va3dguYilsSC+6NiFGF+18TQRAnir2ujCPg2jS6F4biJFyx1BhWinWhbMs1RtFuGJWCZUu2EJyHOZY+nKgmiOfQ9UmeQfkGJ1Tpc2hMtnQjyj7GBExEvJ1zvl6OOd8DX7N/BhmKnoZA0R9LiOKBV4DOAZ4HzgKdJX1toEYbcI7h8gIuDEbqZFQtB617Dv+HYa/UtA92NykVw33YX+Zop+M5qBaZvWNv8v5ekbn6+B9oJoLn5LIUkMDJyBzjAQjMQgU/j32MRKyZv8jIEbBMSoQrvHbCOUUFyGuQzy5iGr0yBOLPsBxkRMihRVywnjM4hihYjcfBfwnHOdy0WaOEbcrdIXbnvfRn6rGb8LzxuNWbr7sPx5w5KwZybPPENAsYopUpYU6zxwjoICn/SLnzlEhKLSH3j3rlugjHd3ht4RcQXGM5reibzE+eyCFbfC37MTuYzpebBUiO1BBac8q9C8Ua0TscB+pen9k/gS5auSSGLnC7q0+cyYcVWlS+qExHDX6YL8Xr0pKPe7LijNyjOyXg/dFtpmdpf0a3vPYPxEjcIz61JBjNKLLlYgnRBTEQzQiYx6hx5XPhTlrOGdlpSFb0X/D88PnxXufganDoSoNAGPdMbyWqsEq+px8JPHe7l1AMhhtRY4RxuqQjuvtiNbhGC7tifiCH4axcU+NQEAhNtg1uFBAgcgFGxEWXEbuT+rMeI4G4mbEheNQgdaj83WpShNCS86Vs9JC2UgE1b5hxX3YLNq4LwreYnbWlxIOKCTRMzv+P40qLT/fdX/yPP3YEcwOMBUq18n5+oXRponRRTZzmp2WLrLnUy2lUa6/H5cJSB4V7Ery9Swe9L7xaCAo2Wom7xXLEeMNV5CvGRKpF+DhaPK1Hp582GtidHV+Finr+mCzOd2B4Zw/XLy0oKU0yJSvXMInROzK5n5xXKPJHWTl+BsNJes9l1YyHA5y8LaYtGyrvMQxPxvS8nh3bikt3vtwc40fXrRKYDq6SOpaFjNxnA9ZnnuxXMelNExIBxpqZqicn/0Vr4EJ5nyomTSNCRXDUsclRy5vYlkD5GuTLp+iaquYWh4fOvyg1TKAH94I3cVxe8LmCSbOjR9W+uzGBxPJ15R8x6TueLGLpRZJ3z355nk3fXyIYxzMuzAi9PjxfAiTCk3cYW0Q4y2lOSZGWErzJIHy43gTQmXrTSxDbsV+D/K1JmgaU6slDAFBvu65H08Y0OY3QvrNCJYWE6NYRjxYSkshEfe43mspzZNMELPxL/o/SLFV+sDmWizvaLnH45FxFjoRSPAxscP3JLR7OUTLWFjuzSfNqJA4zryUhmVeyvUj0JWmpDUifSKdnhNRTUgwqcbfFgnEaNgW+JgKubmI5z6OWEorlmZkHsjXakJd72IsYtnQpoOww0BBkSdGZ+NSPa4pnwUtLAo6LuF5qZpLaVtNZtqUHlzczMVZRJlEMQE5vuX6eN36eBcTHBRj8yFdrU9jcs4w2FjSxWQH45jXwmaxXkornnNc+sOECO/TMcdSmvrFRU62Pxn7jxPJconLEzPbY/APVVrOWxmyjs9RT5K4z0GTbU7itB8H+B5MjMbnefkMsADCE2SMESw7l5OzqT1/27SUNrWpTW1qU5va3dgm8vVttQkxusBGuJchsiP52stWuVJA5aHf05hN1TAM4bJcH0tpdVQ08Z5R4mmJb14uEYITpMMxlJbbbI0wqQqbRXxDJiWrgsZx39OcBYlaMnxXaSRW5qW0cVmvlOsDFXjg6CTvn+RjSz1HTvYYINoE4gHzNO5LaAVlwiZX7qMax/fNaZ8urUejOS+l4Y0P1iep3cX3RDy4VBbk69EYLhAUIlJGblBtw6JfBo+o7AYYutnELymoVeeJpTQT42lKSMKz5M8yqWT1riW20eBRfakfF+t9Rp5Ius0IYowZxk6IfE3UR0uRJBfToDO2cwn956U0GDzWVToCojI7J9ffh1wfJFss35BMjQDfndAdm9OBVCwDRRLCXdXXQ5qfxMEDGQTRm+MHga6QcNdAjIJUf6qEXI4JGVLKp4FGgdgmI0Qgly8k1vVNrPHFNQCKWLVBUubSrlsFxGjL+wWohZccSZbvEZESSyNEjLTE8WizjeWdbPAYfQM0Jd9XQoyAHJDQbtJzJ1KzrofjN7Avy/rRoEon6b8ZDRnxPcaOifkmX6c2ruGqwrUI9Mj3KVEFRIKUy9wMaC2X0oQq27BUCKKDhYFWcYkJBqBzELw1DgrEKJ0zeKRtBsJrERaLzNquDgRNKAvEDUatsZRm8vXlepOXg3H891864f4YALzs05WZNP8+R9zPuN/mIGmPZrF8LpF8PUIpXKI8h7yWaA0Oh8vIxRjycxXGqHl1jHL/cul6hNhjvPghpUP181f/Ymna9iZeIs6IstE3i10K8rWPmcuEJWKUl9LunMHjJNe/vTZNjKY2talNbWpTm9rU1KaJ0QU2rpejkrBhn4NXKetWRYFqwpEg4AaYxDnvxUUwYhRmajlGxKGsRkDE8xmNGgsOkJolrcFjCkv6qIAO3wcU597mhBwjr/uzuirI15n4XEiHI2A1TAgfXt/MBMQyzDWHYGJzKRAjGkoC8XBcCBGzQIxcnRDl2IrofNql+9anIjKK7mGOEfYPiTSDM1XJy4LfHI/YwZDRskAAhKBtyXxlhU+eCNGdOAhUeP2TIkHOcYx0DuQXqFrENeKxFpJ9N3JtFEY72iZgvIjXxUiSQIxADjeRlHEYqojRLoHjIbTKZpNXFtsgfuo92A5QD4yzpumJGhBharrUIn5FzbwrvMaVN1EWoRSLm0AphuA/8QKDE9eLfA3EqGV/I6bFfQ1zvHhtHMvV1Rn7CoT2OcJgLWPHn6/dCl4dUBagLkAd6hSGo+6+KqV75iEdB2JxQL7uEtEyhy+7kn+4vhQIRyuyrjh/QGO5SVX6zSbOG4R2bt9ICNCaXRwDx78QI8r6s1w/0KIQKkTMD/vMx5Hl+iX5GtYJiHERmhJDMN+PRoJ5DIV8n9daHCrez0DvCo7RDIiREEacI8n2kuvPT20Loe2QnzSk9XxHFA7keLpr0OAxRCLYN8QNHsch1wfS1KdLQIwYXxTX4yXrW9wfxvFs2aWrs7MRsRFihGtj3o6vURg86r4pnqPkm5FjJMRHogJbbRzK9QuOVkHs5v2ZDR4Pydcg8vN3RvBxb/tYjSzO9/G89OZxvczlNMfIAJDJ1+K5ZVNdHT95XXj+FnyyqT1/28QxmtrUpja1qU3tbmwTx+i22oQYXWADusBKzByjHAkSFSMrE1VwrOYh2VVVDN6HFTVQLa3r3ahKkzLHFbxVOvGPeUnjcWQBHEMioxKjMgX8jt3wJINHVDNQkfBYZsX6uc9DlW0p1w+LgTgXyL3/wOqJkWOkAFG08rgiRDZQoyOcHzlG8UIgZsEBknx9B45RVM7NaZseWt8qTjDCLrG7+2fHUdVXVSAekm8btRojMoJj5KoR14mch23LawIVEThG2cBNiivzqMCtMf8LSI7l+hmVIm9I4bLmlagZpUI7XoarJ1GMHEkgqT/6mnEJQJS6kCqLFwGUJbhXsaF76rNRrk+OUUpX5mfZWNAKJKrS9hGQSnRD0RcwIsyIlvaB11hCH/YBEX+yuBkICwwMXU3DII8co1mbZqc79vcps2A0zh0vojFzdXEWPJNZz/2UIbLDtevB6YCpKXk1QJSGjBi5MZhU/Qy+UzZ47FO6DASA8vMRUeG4Iu9lNFEkumT1mSJXgN5gPK8t+bP1Avoa10PoUgSRxnG664DE8J5kIHFwgvA9VYyZYyQEtuuIYMwp8+8YeEuU+JwqzU9lx21kxJhqt/7JqjSblFIuH+cOOwyoOR1BBNTVUv++QC/QF1ClHa0AjYAGVVMx576C6nNUpQFBwXn26fLs7IBj9AeOngh0pR3SfNmmewQ5UkUnBBiIIMYxqVxlJAieSdngMZ5VDNEW9y/GIbhj5yJBDuT65msdcoyohDMHs+AYQeGI10aEk/o7h8nGPbRe7KWgEypM6b85RueQdx2bLRCsXIOVRsTtBLp6p1VpE8fo9to0MZra1KY2talNbWpTU5smRhfZwLuBYqtALUbvH6E85vGU/kRaEydvhdbzs9QSqhh9SFAhcx1b6ERs126IBdyZ4SL7DRXckKKFj4y4UHx5H/twOC2qZnMSbCRpFEmoAZRH5FegyldpwUgAGjwKKSsUUo/vjjM3CYoj7ttqLShAiIDofApEDFUofI9gMEjuyTL8VnIlI54PeAlWmbCKL0N2bbwIEGZZBZ+KBpAz/m0Ljx6dI0Juk3lMQowQQYLGv1VDOm3n+fyyUtCKvYITEiGxMsxsK4b14hy9D44VcITws/g+EUMSx+Vz5NjgtYn34Xiir4ccj4LKvwyo5DhTvIFRTDRyZOAhZd6YK16hQuSl2K+K0Qn4OY6TakCiLaEcix8iUuKsm+exnBEzqrGq4MMgZ7RtiEqYjxdeMwXfCee0qFmdn+2b4LGhj4TcQE0HM0mPBaJtRBBHBKys5Kn8dESJeDt+Lcc3zzf69BZUdeXYM9Kj28znxnucGw+0h6gk0ATwo4p9O0Q2jP3gZDnn/X9KT6NQHVqVCm8v9B+PxerTA++w8RnhsWVvMyDMyO/1uUeEzYhMczy5b3CvOG4Fhz3rGcjrYGoeT6GCRTAwKVJNfO8xBbNWB6nOpF7LvlKzId3kjVPRJ4rIsuJG8IzxfRnHFn/DMyrUciOCk41tHQ2iKI6Mnst3jKi3j1sIGY1XMb4Kz7VxkEW/u6/9zOPzD5sTUok+jP7V2/w8MxLte94RIuPtwD+UJrrYP1Huc6+9I20yd3yf28QxmtrUpja1qU3tbmwTx+i22oQYXWBjkCl8QlTFwH05u0x73VtVCWMTUPVB6QK/FCEHrASXs3TSwohHFRBcgHdy+kUVxIrTOz1XsajyLyskeuPgeFzFCIVCsxM2FEVElrKiSQGniiJAs8rGbrSMG4HqYz9LZ/2CFTgrdJx3UTnb+fvdm0uqtlCdLw+8RYJ7g/cCKQmejlEUN6A6qCrbVVT9cU52Oh5VJRmpAWqkSh+8ICBN4Cbsj2esCoEaAZ1AhXe6W+SKGogS2qabK/R2dHXG33Cdbu2WOaDW1SOOF/46ZRimkStSLnYzKscQsktnbiFJ5HasxuqVsSmLWVa0oDHgVx40uCaI3wD/JI4t+FboE8Z7FNwe+kbNwnHaVTqjL6wIzGqoQNB6hNiST6HqHwqySi7oNdCpwo16FgjS0MxSewQUbXn4ELXaZ18RfUM72y/Sfl+H0g8IH8bS8VEgifLx6Y4aogFn2wXdoXEu4KMBGdudzdPuUiAPRJOkSDrZRxwJ76NCyUUfrnkgWuEfVuUAXaJeRKji2N6zuXTglI7rWcZQGDnadrQbH9FA3c/m3BhtNAcMCjXGdqxxYav03l5xLIViFGPzxm4V++cYKByw7YCO62/keRb7yPf4SsfAGCApFTFW6I6OiBagieHphNedtTGeZ0I/t7t5AFNUdMZYQHtXe088y5YpXeuP0tAAAZoxRsQILLhYUK+VYa7vaK/EfSkkCOeK6J79Lu5h8xeBeKKf8YzCuGc4M+JNhOpx3Ft9azWsUNlwqhePU0g8jh1jiuOYUR3xft6+xfMI52yk18+4HVBIbb98pufm7jZa5b/h+vi5a7TNwbNF4Df2CWTwxTjReKG1aWJ0kc0fiJq4ZNk6miFdxArQXl5wOEzzWr1Hsut2WfFDOd90+HCF8Z0M97ChTOITsdjNCdKlhBUPpzBFjGWDmBwVae19SruhYU4Vb2IbUlqGqm3Z9DE/qLmUholRFcRbWfXjoT4eqz6QhpTee3ocP9dYdllk+Tva5WWY/OHBwSUGxiwcdi8mh3yIHmkprceSUixT4LxITCW07SUaMQcJ70dsBT4Y9kczPrBA7u2WMRHbbmO9AX/HxAWND09co/kg80JPjFI6wUTK5nNa0uGkrRsnDjFB0+RM5n+Xmm18UOtBjWuD/sQ+Q/Yb5pT9sh6JtpiwaFzxwY/lmG4ZH7bNwIkRtkWovhgX2YTTSx9aIgXx1DYDfmhzQoIPFyxZWSBg00dOpDG57LkPX1QSpDHZnteMlMCSjCcSjrrBscJkEct87NPdPO238eFIaT368Gidl6Hx/vaoJnkblgKc2OE4NhXPsz9rUnuEJZpZTN70gXm2x/gTd1+JH7x9MFGHRQQmovowPsGkFqcpib0/rJ7YrmPMauklJhaaIBbjcNdqic/LKZo0ZsI6M++wAU2MQCrfV6lf40Cq9Fh3Rc+LIYoVXNJFSrf2C2X8aWLk4oYf8MUHqpZvHJmCAdmu456JiU/8mvcSJmdzTXb0XMJ7uXTMmJ6ekyRMVm0yGcu8MWF7rL3My4iJ2/XuSMvAGuOaWGM58b76lpwXo6fetr8/xgGWbDExw3L0vk4d72FN4vpyOX6mBProbC65aaLL8ZmX8sdJfyZD6/mJ64tz5mtgtIkxpcKDz+Lift11GIO6qtpuu4+JEbfFX480Bdtm5GeqlgDZfC55GRLHE/vBBNK0Aiwjl3FJd6JN5Ovba9NS2tSmNrWpTW1qd2ObltJuq02I0QU2VziR0C7kRAaObEQOHLuBKgpLF7OQ+HIpTVXGsiJawW26MmVApIzOWJWqanf6eq78vZRWlLl4L47HyzsmP+ZUd5GLRb7OsRIiH2bipmNCVL0hjZ1VW1sFksCwSJy3pLVFRY3t3TiNJQS8FERXB6eiXV2GYRyrxubcUhoLt4HxDPg7ltIcIhqIkWS/IoRG5SpSrJfSAK8D9GlTao+ikgTqgGVL9Hu7UUAqEASgN0OVtm0T1axRGVThi0D2sCzg88vIGBEjQfiORsHftJQG1ACSc6BFWJrw0g72z+U7XcdAOGYRJxCXQQafQIyEkGgpDRU3l9KEIIzjQRXzvEj51lIarBJiqbQwHkXVTZJzjE8jF5BXs8GKoh5YaZuci6XTGFOzlI46jtmDyAPH1ey0BDQEUhEoggwdcZ3WsQwGBA/vb1czxrv0QJYYOTPjuMKy3exslvZrkMRjWdFPMJCyedx4rVCRs2Gblxu7lY1VUzpDHIrT6TEOiBhV6eZmmdE/3idaiuKp4LW6x3a4xkJdeao0bZU5q6wZgL5xPNcRu8FA2lVDRPe9LZaUA3k1CZjkdSwH1kLcYGvhwFghb2Xlfn7Jp1/B/0MydiFGMd7DEoMoqCJi8Dqeg5bSuERttJh2GxgLcRnfvbuSl3cfb2Op0fdltqmAEWQ9GkHin3fs7o1jBnIDxBtI+LZh0G2gNyKKz/tYPtTvaZuhJTQjZeNSWjy/SFVIWs6SRJ5IeV46ThzHGWnTvZhFL7OBy2ZaHc9LaeiDGEPnltK83GxDUi4xh/ggCxwOltIkqMnfx/FvgECXqwhTe962CTGa2tSmNrWpTe0ubBexFFa9CCdyE2J0kc0VjqvF5XBIbiXZduQIOCqEfKTCxh7oAdAK/iz+Aoi7WaIPLkxBvj4gQIDLgt+V8lTwRiTFtfzf6+0mXxMx8nsLmbBNJdnEG/J6P6omVPaoQiE1pqEbqreSY+QqDQjM6YiCgUNV2vTfuzhl7ASqVXBZXLGXjdVmA3JuT+IpZMp7MAFULSJugvwt83qMmklCDJ4E+q1dBwqBPu9A9sZJbhUWSjJu7A8kW1aaIAKbY6S/gSdjHo4NME2mtyFfoA/i6zA0GIjRWXCMTL4W5wzHFhsJMzhwJUCY9oONla/M+dBn4HSxr+d9wTGqM2nWBnquoEm+1vA5bsIM8YB83RWyeFkb0Mxw0WbyNbaRCb9CFsEdgr3E4mjH/ioDcx2VQLRH72t3TaADQIyaMNfsj0Im7+p6f1RF0Ox2NnKMtkEyr89mqT0OEUNwjGJn5MgQdYp+Itl1aGkeSL7aYrST2O6CrE4jP3CriBCmdLZZHKCA5P+KY0QjQKEotArQfQm4D+ONUR22n4CdgsQBGBuI50AfdCtYLFTp8S64dkDgSvI17QmI1FW0SSg5Ru7XUn5+ELK7jpiVkmOEviN6Bo6PCNWORtmZYzTrAhkVx4gEfBCs9Tx6z/aSLC6GdL1dx3aaKvWEfISQdUN6qD4dEZmU0jt3Qb4GYkUuInk/Mwbd8rqZrO4AXnCw5hHOjEZzT9wXQo4ogTdvjn/T80cco7igYR7LQ8M4PkBOC34QCPSt7m0dNLcLLib+lUWDSd758W77DFx2oNoF+XoMCReSJ1NIj0eMEe/T8SEvCKn+8OJEuKaJ0dSmNrWpTW1qU5ua2jQxej/I9c0HQJViBGaszFWFUOouc0RUceDBUK4ffACsR3Ob5KiE8osVGKpMc4yMRBXVrCuXjPJQshzvRYVpfhErXsWGEDAheUemg+ZLWH1WGLJh/1COULGEqh6co32o6CoHtZJjpIq6UK8Mp80hYqQwVbT75ifZLNGxGqUqDZEcFSNEUhpWPbk82Md+iH2VknSgZe43V3OULwPUAmJ0HMgOKkMCQXjNVmGhRBBin5ljZFRGvA1WhQhhtfIvy/VDZRgnqTgIoVfBMUrpHiJGIyrlUEyK9Gx6twCCVOU4AfYLVUkRaIvXAKEjP6wJpRhRAPBGLOfOfJERMTKCc6UIoDUKSaSMiEKoAkPxk9IaZpAcL1WEz9oOQKozyPeBIBytd2mzBwpYqqdiUDL6RrJlqJKAfqJfGa0BJG8dxx9mp0BWIt6FkTHi2WAbEXCaUgfED9wg8+WkWDS/w912s+8ZP8HrsgoZOPoMr8U5MW4CXCUZksIKIBsElqo0cXF8L1NCLtNTnqZRXfH1eO8LNcZ2GAhNxAgQQkpP7AMxghrSqASuP1AcI3WwSfC4cthticTxOVFEptSrCKW1RYDHo3k8HNPm48D+Q3J2cPeIHiFWRyiJ+WX4++Pbo6ySu9FCtYdxU8WzBJtAvM1+SA+AZ5ajNYb02OZyoIVAbvSsw3WPGKBRrj9DPA1uJXChFoNQX92f5giRYzSi0FR84deI+zBP0QhptgIYo5hCweYxGdsg6uff2ZJEHCOjZdlcslADelgzrNk/2zzVaB4JhmOAt/lG5HLdYVXahBjdXps4RlOb2tSmNrWp3YVt4hjdXpsQowtuwQWRX8hyNOjLnB3xYWz8R1WSwilt8Ai+gVUjfA9QmV1UoOAlMCi15BgVVzGraArECEjLU3GMsL96H5UYIyaEGGVejtVnrlzlaURuRh+KJVROOH54dARiNKQZAk/tf2TVDqqs07pAjOB5M1bkD8xvCWULPyJW7JljoXDevcziVl3a28cIyjkZ+jF4Eo1IEfpKVR36jaq0eC08X+gJ1M1CZYa3bBVQKcQIVZ9jJ8BlYIwEVWlp5CQJDTKqwUrYiKA4R0Td0NdGjBDWS8Ro9DfCsZFjZOsfcUIcRhm8BnmjSCkFxA3bm+HYEOlgUzzzF8RxiAq6IjKAfkSfXaq3Y8ixQ3XNpSE3QxU+LIbmu6y8wXVhPyhCI/gUuCazdHV1lrZtoHgl34JhyVAqGskqUANwb4C2tCv5x6j/wQFD0OxsMwufmz5QJ6jSmlOoCkMJWXKMoFg0v8Pmojf7hqGnRArpxyRkTIgR+h3nTb8fbGYTUSQxRoP7YgTIiiTHV/i+DMXUEOG9PvchjD5DLQmOUYSRtmuM2So9QVmkIlGESoCPSONL7RP+UQcGj/KHys8ZPCcU64G2RAisDR4LjhGPqeAYMRQVwJVigsAxauGlheeLOEx+LTZ9bbuO3y/7dKMNA8rSBJPDqh/SvbOjfM3RHsf7aF4LxCjuZ1x3BN0SSRfHCOHR7GcoFxuFMxMxkqpMRolWBfIeEwIDxDqHL4vHYyNH5wHnCCZc16xYDZ8kn4f9kWx6So5o8bw0ahuRIPF9A0Qvc4wKpN4xJjpWKi2Fuu8LJdwdaxNidFttmhhNbWpTm9rUpja1qalNE6MLbK42UL1YtZVn20aMULG52kTFUnCMuA1yjORMK2QJKBG5O0SMAq3JVTneh+pLfifZ9bcIOQQKkJ1ZhRhxXZwoTFSVVNGgwvOauY9XlRg3pf2TY9RFVY9KGdsgAqRKrUF1Lj4Sz0mOzs2JKjEGhM4PEaPmZuYYAZkgf+TcQm84Pae0ONqrEhvSRrwUIhpAsuR8TWRLyhHyocDnmAshOAI3IZA9IEZAwOCszH1IlYa+YoWHSncOV+d5dijOCJMrevANVMXnSA5Um+DpiLNCPsU+patAjBj7IudxjQeGgJpLAlXaQuGjqtgi5FORIHAqBxqyH1i5OhQVfeJq2tcP5+yK29fwcr0Z1UtCcqyM5Hggmjlkl+xQXlXs38wxQlVtH56mSvevT9lfpSrNKh7zg1h17yLeA+cRiFGfunWgA+CtELFbprRs2uAmKUS23g48z2aTUn+EFwXC4Kqd3kjipBgxOhnmqd4FIlEvuxif6G9wnMS7Iqrj+JPN7OC+OeAY2dsLxymHZCIIQiCwLaJu4v8ZKcAYWM6gjpNrep/SE7tAV9x/vI0XPflXRuqAxhq9GlVpo1FQcIxGrsolIEbgGIlDRK6Qonmqug+n9YwYwRMs+mtexX6JFJqXZo5RSvR24r6XfbrVhs8TECXHCwVPUPe5jgVj7dpmrbiQ4ONQzYprL86Xvb0acIzg2A2/o8WQFkJ9I8x4RHyoSisikdDAQzNP0Tye4NQF7zGc3oUCyamaXQiOFa7hQSSIUMjinnBf528LyA4xL6M/XaFKU8gwuZ+4DuKa0ZUb56RInzvWJsTottrEMZra1KY2talN7S5sE8foLkeMHn/88fRlX/Zl6cqVK+nq1avpFa94Rbp169Yzvv5rv/Zr0x/+w384rdfr9EEf9EHpL/2lv5SuX79+8LoKvItzXz/2Yz92ewfpilVVQrNs86CKiibUElFGh0qGKI08ZNDIC1mMmVvmyjjTjLwZu6nyDYe5aJljJN8abkIcJiIK5hipCgMnyCGy5jplBVqhRGPT9+YerYEY6djoYQPkZTukJfghQEgyByNOuTnRITd6vfgBaA82N7LzNXkGyktzn9RpiMytJqWj1S78TcADKjgl9EDBsekcyceyazB4M+IYpeMuuAtAHcgZClTD3C0rxsC9wLESlZGjNXkbQNqALujiUqGi82IWnlRhrA6llJtlxOgkOEYKoQzn6+AYZVUh3IDnVThDGzES74FVbh+cLiiu0P8bc4yYzzX6GLFClq+LuRuBGJ3l4F2PI45BuEaj+pZrOLZ0ab7NHCP4DnEMcRdCjJSt9eDyJpVOwbMpLJDJDxqRkRk4RnSjFvcG1fuqCNw0x0jBq0BBsEMgRUCrwDGCZ4+r+8q7km8NK3Txp272q8wxWi5DfsnjgwIL19xqPKEpRA2FQpljlLlXytzj/SNVGv22eJsOoXATpY3jGONT/Ly1VGnIQER/ICwWjUpB01aW/Ri4Kv+oUZWmDzihvhwS4Mk40LdS1iDz2saMNSNeM6AlRsWEKNGzpwIK2PF7chizj5EuXiVvJ5z/oosstwNVWiCCVedBNIItt84CaSIqBPQLzvTkGCnjTDxFoM70W8K4m/ccpx439iGySz+PT5wfol0IITZCaARzXiLzI/INZV4crLhI7ms/Q8WByk7X6osDry8jREMct5+jfCazC0a36zxWilBjoHST8/ULo71gJkaYFP3Wb/1W+vmf//n0Uz/1U+k//sf/mL7qq77qaV//jne8g1/f9V3flX7zN38zvfGNb0w/8zM/wwnV+fZP/sk/Sb/3e7+Xv77gC77gto6R413mXlxqwsOtIF9zJUs3SSxXxAejJy4kyCoF3uTIWEqDdFkfrg5FLZbSMBHwfritc+RrLo8I4h0DZCPaA8sxJDHzQ9EGj36g6N9Cro8P4jpPjHZBkm0jWDMmWn1aQeLtSZw+VHF8c3yo6Zww0SiXBB/GxAhzGKaRt08yeIRcnxEYdSLRNyIXIsTUS2mcSPDFQe7kUongfoZTykZgfrTXhDTCXNEPkIGX5GtcJCZ+gxDadE8iX+MB76WUmBhpaUHk+nzt9Jq8lDYLuT4/CPUAp+8nltYU8oqlOewHywom//phPS6lYfljYP+jL0kKLifMjkjAhyI+xHPeQ0qXZ5Dry07An2kYqoqM4HXT3y5jRqJlQiztOfWcxymyM371yPJ66jQxMnHf48dyfY5xLqXFhyMnDFVMjPKkhmaCiNHY85rwAw3b2IS5ZHM2pOVxRJoEoVaTU0+MQHrWCvaNfp3qfc8+WGNipOUbxlRUWv4yWZn7wC/VIVrq9lJaXkbBaWhfMfGOcYD7wuRrT4y8lHY026VmOzD2A7+7uQ83T4xJBpXivwUuqpZaZJNgyw1Ors+FyPI5UfzuvuUZl8x4/9s+QoVAreWqkOtH4cDIDMzBuY4ek9U8GSiW0vZnmO2ntFi26RbCd2F9AFIxnla6t7DNsmFc7E7DjgPbRd/wXsAlwLVXEDV2vcSSFCYlFBJ0aaEHWIRteylsNGqNJd64wTD2Pfk6kOXrOjvyhvJ9k+pt/IrCiAaPhaiE8SVjYK+fl/nSazkVPyPmZZTrjwWePwjCZFcFAQUyMRktjSbvSJuW0u7epbTf/u3f5qTmv/23/5Y+4RM+gb97wxvekD7v8z6PE59HHnnkSe/5qI/6qPQv/sW/yD9/6Id+aHrd616XvvzLvzy1bZuaZjx1IFAPP/zwHTqbqU1talOb2tTe/21aSruLEaNf+qVf4uTFkyK0z/qsz0qz2Sz98i//8v/zdrCMhqW4clKE9jVf8zXpgQceSJ/4iZ+YfvAHfzANdsd7mrbdbtONGzcOvtgMw6pqRJVaPUmub/hViBFk3CySVH4o7JQET0ndWdmKfA3I3tvnu1SNuLnCBSnas32/F4jCcI58Tbk+YhL6ZiRuZ0QAFX/A3j4HICAmrYKYCzibUmSQTVF17Ya0XgCRiUrR2ztcSguDNVbY2ueDs60q7EAmSJY8J9en7LtJ6V4iRpLri7A75KU0O7ANAbULgue5UN47pOOjbSAqMvcj+RpLaSYhA71JY+zEYt5x6S/I1/E3oBlGjEACNRzP7R6Qrw8NHq/OtrFEA4K6EEQcW5bvgwDNpbQgJx9UbIoZ4fXqgnwNlMzBriHfHsnXHD+QQxeIEf7hUpqNAAu5PpfrULk7gFdmkDZ4xL6yqaBY7ZDQY9nvkcUTDHYt5fo2CG025VLaiBqs6x37HqTkHL6J/l/36QiIEcatl9LOYEtQp/lJn66shXgJyeT5CgWiUWoX1+W0X6YZyNfzlI4XWJeTqSCWTGYRIUN5uwweeU0LU9KSfE2U1PcylliFOLEbinsiyNewgpAhq8nXQIyWsb2T3SKMEbmUFseNZXcgN17egU2CUY68pO0wYSFGCMx1u395i88Ukq/1azxHZroP+3Pka/cXTURpoaBVZyGA2bZjE1E5q+WeggmS4bFiyw4QIb0f0TS34UxL5ftx2Qn7wDXFcqVRFqDLQb4O0YbJ1zZodDhsDvElohP7AmqTTWJFVQhid6BT+XlMlGh8FvF5WfS1rzcR6SJY2fErvm8yaggErS4RIy+lqTsk7BjtDHQvgPAOq4Jxt1N7nrYXBGL0zne+Mz300EMHv8Pk5r777uPf/l/ae97znvQd3/EdT1p++/Zv//b0J//kn0xHR0fp537u59Jf/It/kdwl8JGerr3+9a9P3/Zt33abZzO1qU1talOb2h1oF7EUNqQXXXtOEaPXvOY1T0l+Lr/e9KY3Pev9ANH5/M///PSRH/mR6Vu/9VsP/vZN3/RN6dM+7dPSx33cx6Vv+IZvSF//9V+f/s7f+TvPuL3Xvva1RJ/89ba3vS3+oDXx4K8MEaeQRhTJsm0WW15bV5XtwUfSMdADka8dwcFKSxyf8+TrEuvM8mJXSOIYlWTCA7n+DiTIIRAjSa0t18+VquX6oECBxyAkCVU9qjZsnwgQuTd9Oka1q2M1+Rr9sjgRigXCrTgYmXxdh6siKlsgE6zYiRiJD4JjFXHz/uWJZNmIpAjkKeTkqjYl129Kg0eQt+chqb53fRqGeSX52hwjFH8I8ER/kXMw8BxJbBZi5Ne7X1ARo/F4C4NHIkYaF+YY3SMkggZ+5hiBGL7q8utAViXHCHJ2h8gWpnE4BxwPuB0guuN7knFN+PWQwM4VRmo0jbyhyhyjAgUxyRjIljha+BsiTGDoiO0DwQKvJZAZIV0iXz8yf4IcCiJGrtI5jkC47TPSRM4JxqM4Rhjb4N5kc0agFishRuBxYQyJY4RtNKdduro+CzPSQq5PjpFtBEy+7lZptgVfbUiX59hYnB/vJRD6q1Guz7G9GYn0YaehmA+gO4XBYwTtSsLPmySQF6J/JknLkBHHf1RvKXKgiWdfpbNtuPzx3IVO0CzVhHLZJGSkViTx/Ix4Crn+g4tbfKbgnuAzhNclEDsgpzmMdy/ulzg8TdWx74yYchwXsRUUGfSBuG0QvkuDxyo4RiaFtxIf+Fpg+5sYC7je4BHhnsc+zC8j+bpLad3sI8pkH30AdI3XVCKGjLTzwDRmdd7gofEZ0p+3pxBiJD4S0aBs8Bhjm2ix5fqyJDEx3fecLQlichFWJm4Yn0bmeL+U10fGmwdy/UpBuUJA71ibOEYvPMTo1a9+dXr5y1/+jK956UtfSv7Pu9/97oPfgycE5dnvxw26efNmetnLXpYuX76cfvzHfzzN589sPfpJn/RJRJawXLZcOvL8sOH3T/e3qU1talOb2tSm9sJtz+nE6MEHH+TX79c+5VM+JV27di396q/+avr4j/94/u4XfuEXUt/3nMg8E1L0OZ/zOZzE/MRP/ERarUIm+0zt13/919O99957WxOfXEmrary82KbHh0MuUHCMQq00coy0Vq9KlYiRVRlAYaAEC4pENv3LahlzjApVGjkL9VPJ9a1KG+X6RIwgkYbKyYo2qYnyv6yw4nvEVJBPgfObb9KiPk4bIUbkAW27dGUekRN13SX4IFoyP79F/TIrRITAAiQhwrFMaV2FvNfGf1YF6YBY2ToQ9CWLG0RHqM4CYqSKLKMi6g+q1DLHKJAYvOSh9Ul6C6vMQIxwPvVGihMgCAt9D04AEaM9eSFsi0DMiGYA6anEZbJJnOMFZPwIHklGjNoh3TNbsqqFHBtJLURYrEpS+CWuXajSxDEqTBNRceI14Nssd32a1226tV0GwiZuQ7xQ9hDNOY4ReEPmc5WqNHGMiKhQlRbnggiTLNefdSERV7QIY1bEe3q0uRaybyuEpNbhmDnrUgv1oFVvu1Gthf5pHcwLE1CMCSJGW3KTEPuA8OF606bdMEur0zY9tL6V3mLEK4nDZU5JUaGDY1RtO/I6rkK1BSShDfWRbSGA8rRSYYFOhTHCw8f9Ce6LRWr+RhYLcY8J9SM62aU9rqXjIXQcQKBW1T7NgJotY6zudthhR8SqJVwVfMS9OHRArmCTQJQjnTsvHwNiPsCz00teMr8u64xQtuaxCpSt6dLGqjQoVIWohMEjEKMSVZbthDZRn8Y+riw36d3XLqdGwb2IgglVGsZJ4W6o5wffZ44RFFxSpYFrhWM3ykLkBf3cQsW7H1FfRYEY8Ykg3ZEfhGPHe/laonq+ZqMKlONCYwFoGkEdPx8YKTNGfIC7ZNWrFYCZz1WclxEU7zvG+aHBI5VuQsaBHlnhC0QQ5rJ3ksxswP7ZbuPF1l4QHKOP+IiPIOrzyle+Mn3/939/2u/36VWvelX60i/90qxIe/vb354+8zM/M/3QD/0QSdSYFH32Z392Oj09TT/8wz98QJLGZKyu6/STP/mT6V3velf65E/+ZE6aYAXwnd/5nemv//W//hyf8dSmNrWpTW1qz7JNHKO7d2KE9iM/8iOcDGHyAzXaF37hF6bv+Z7vyX/HZOnNb34zJ0Jov/Zrv5YVax/2YR92sK3f/d3fTR/8wR/MZbXv/d7vTX/1r/5VKtHwuu/+7u/mBOy2mlRFNni8ujhL/1fVg9Vo/hfVHSgh5CW4lEHD8vQSwaxjGCwRjW0gKPTjKX2MsPZdqtKE+jCAVM2VEJUk5BhFxUYfo13HY0DExHmDR//LkFNsSKo48HVwzPC4QeV0az8QwZnD02jbEkmqhNicEFWJym1+kyYr4dNjPko/YGtx7EIxFlalFRVznaQcq4f00OJGcDj6Ie2xPVWHSyBNRipouqegRxn0gY+DfTyyvhY8MBlK4nzgj8O+wlvA/0G/oqpc9OSKIeLAnB1UjkAz2C9Sx2TFGN6D8GA0mmGqWgSCBr5FNWeFDIRgSwQjDB7nqza11Zz9huO8NU/k4BzIbcUxIsLXwXsmeF7vbFHuAnGJ6v6Ay6Yw0hIxujxrM8fICFOgioEYod9swAfEiLsmxwhRLOJQOYJBhoCP4LgUPZNVgOKR1Gdd2pmzsg2OD8YAuDcYT9uV7L/EnWtW+3Sp3nHMQ13ZAsk6jRiY+uYuPbS8qaiLcXyQHwKkA75g4NnMqnTaL1K1a9PQ9Ome+Vlw6oDQApkRYkRVGr2DoEoLXhrA2QjSlSHrecRI6iVz2Hj9Zl3aQA3XyFcL7wPwBsRotk/NpkvdqmGI6n4rxMghsuCsLHbp1h4RNRiLFe8t+4DlMGd/zpEj2AdCmEbEiPcmDR5HxIh+akC2Gl/fUEqG71MViBGMF4VI0+BRJoRDwb0DCtwisgTPD/oYWZWG+6SAS8gNxTmMvDryiBRrxGsPzyehd0fNTh5HFe8jcozIW6rSsIKUdlSl8ffYp/hQjJQxT1EmrkRUS44RB12g7r5+6FcoKAXWZbSX75HSrgyRtY9YjtUhYhThytz8uUiQbMYKxMiIr7hpBzFRd6BNcv27fGIEBdqP/uiPPu3fMdEpZfaf8Rmf8fvK7oFC4WtqU5va1KY2talN7QXjY/RCaaOCIWbZ9OQobPLt5+Net4+M16DpgotGt9+xUrLTtL1TDnc6bjsjPfI+ydEfei94QJn/UnhyoMFV2C7X2frem84Sp1CHMRBUjagTqm5HmEDBAwzoKeaksz0q2CqUP17bL/rDiBH6IYfs0m1aCj0gAYg/mG0UMlmlE3jVyP/IDR4yPgCfJ52yqe4Z0iVLcMhpMpIyIio4Pr5WSieqsRRBkorwXb5eAbWcgxNhkAOvIgqestk/RmgWKlPHS/j6kWuSzqGD7ERdLzqHh48Rw27hSFw4IRvxg7cNg3CF3OW/+5Lai8WKxILHgtcD7WD/zUP1h/0iEsIoHPyrhqpKl6pFVO3FNnJcR6v3ibJh1AKNY1LeOHGN45ixL6I72ek9VGn4F9ev9O9yVV/GOWBH15EtonNhX/LFQtOKJ18Eh44KSf+N6ilyxqox7JWI3ahEc+xDvG/kpBiR9P0KVIWIFl4Ph2shK1aWAe302CGXUJ3oPjOn0AGq6D+MSas+j8Ebs9cP+FUgbmnsM0DZ6CsJMGMfgOdEIZhChR0bZOUXOUnwvppvwtdL4bpbwkoaJ/O4eIGshIrWHKaDsWD0vLgvwAsMZC5UmOA6hoP84fPMfRwXWu7W5x8yCvQ9eA4K4aSCsLyN6PckxEvKXqOs5vSxfz1Oirdze/ZMK1uOMSmilDTewul7fC7dsTap0u5uxGhqU5va1KY2tam9j+1FOLF5tm1CjC6wsfJVFhn+Zb6WXGrtp2M36z2crZXrY2SH1RpQCrxeFQ6QGBR5RASaqFzHar94DYq2IrCV6hIej4ITG/Cwojp30YJqtV+EA6yzy2g3YwdZZZeF2knHOqR0ultwO+/ZXiJ6RKdhoRj9okln3ZzbYfCqSl5mLC1m4WXS9OHjhH2oAs19OEsMq6SiQ8fSHtcMuXUFCO+iYT+jY/Lj3aUcBAo3aKJA25qVNY9T+9/AtReIg1y+Mw8D4at9zW3lrDL6nkDhA5htxqrWTt10SFafUhkHpYk8esjlATcMfB9k3aH/VLECcWlXKb29C36M+QsMf0UmGxAp8Q8CRQlvqezey5Mfrw04RvRuwrGdNeGWjmPMfKQx88qhuB6fj9E4yH4458bwTPvHcRd/6wS+QFHFbDMM0VkfmW3dkM6GQJbQFZG7FohZnOMs8twwlpoS0TlKJyc6lkYO7224vhs5iD/CjXwe98FyHv2i3+Mk6NGDbRdOHDi3a/t1GtZzVuq3ukU+J98/OCZsKiNE8oKi4zIQSSgFhd4hC9DHmREGXYtuV9N9HACVIvUOvMY2PY4h0Cf6YG1AFgw3d9wzaOY7GenDOXZURY5WZUR0jMzivlHIMXyF0AIRDmXiE+DE2cOHckCNnfnoJ8Vjx/0rRR/G534TXkXm9nj8WSFJh/QmPKIw9vFM2l8JBa/Pl/5tGlvY/+kefR85gy3CkvuKHEP8nehzBpur9J7dcXB/sH+PZfSbHMJ9TH6+GsEax8M41vM2pHg0nw79Zu4Y0eXzTWj2dh/hzObsZafxWUobhCwWiC/HkZV0RAj1PBFvkbl65X08ted1myZGF9hsR8/7Cg8aPdx9c/kmxYMXBEyakeWbPaBxxA3gQ3l8j27gRgGH2niOQ0DDDamJUTYXlLW/k+b9AD+0vMfECB8OVUziTO4l8dTnVB3sE8tcMKjDw/jabh0TKgWQ4iGDyQ+I3Hg/JxNeNWM4LoJPg5BKqTfnTfoAjwNiPyCskuZ2gJ/RV8czhtzGAaW0GeZMSMcS27XuKIJf50Eg5wfSZsaHLwzp/DDatbVMJYeDiZE/DLtFTEgjTgLBvSCmx0QHHyx4TUny5HsZoVFMjLyUhokTrgn6zNdvjnDUKv3/9peDWOolxFlK7b6O0GAFTOJYOWHLkmj1j64vJwGcDMfyFiaC2D4IpeMA0KRY+8byJj9Aq5Te3V0e5f+lrZfHLSe0moxjiRXqZjldgIDLiRGk9SBOdw3P+XSItZ4wLR0J71EoVBwLYcA3TsxvtKvUnkbUSkyMgpCLCQHPPU8yYKEQP/SrOp0x5Vf3Bj5k4Q2KcV7K2zEx2h2l7ggdX6Vb+1VMjLTczeveR9r5+bHAe2A/I0Hc9/UWkw4uG40fcLFEhQ6b8ZrBwJHLZeWyUTXQNsAf2pgYMZKknh18MHNJWuMLDWO019K3zT394WurDSxt8R7S/ZOXwYaUbmxX8UGtPvTzwtc7JkZaltPECPPlAc8Ih6wWq1cMm9WyEPZ50oa9Bu67/ZU4ABPvYW/BfarwQ5QIrTHwDFrqXBCoWmuJ0gVeqtLj2yM+F8vII4fyZhK2xulGUTg+J/eTJ062OMB94Agh75tCEy15+z35NtB5MJZJE2eawXrJlPueZ4NLjiuM67aYGMmWxdsbDXcxYRruOPn62X692Nq0lDa1qU1talOb2t3YJrn+bbUJMbrAJu+7jBIBJo7vtZTmgE/8ziGGLvK5lBYIBKoLEvfwe1QqEJ9zKU2Se1W8hnJzZahqyrJb/k7LGaw2UQGZIG7EaB6v81JarjCFTgUxtSIU7qBPLKfg99d3Ky5DEWUhYjQjAoVKjucvxMjSZ1SLkGsDaWBciFCugyUQV5hYSpMZ2/4ols/QIjgWyFPF7T3RHkcVuxC0DqRiG4jRfh8dTBRk1+RlSC7FGF1QLAP7IUehaFkHKwIIt4SxoewFGE9hxAhEciz9uOoUYuSlGLRcZWL5a5nSW/YPBFmdcQOBzPVYMgESoDBaIEhcZvC6zHm+PZZUsH2ZWs7OsIQZZnIluTojITDQEwqIw3msvZJfdD6igKgJlwGLpbR+yEtpsYSpUOC6j2gSBKNqvcd2AhgnNLfkOQZilJe7CsRodiIkCEiTltKAwBDVw7IQd4prDcOGipJ3L6UNHvu6NwLNMcyR0o3dkq8nYgQyMlFU3T9YJcV4EaoRxxBLPBQg4D7E0qb6LyNeWooLAq6WnHeztG0b9lF5X4bEG0aTizBBJPIFc1D0reTlWhrDdXQAL7bNsbw/DCJlxEReSgsT2EA0Ki6JcXkKfTakdLJZZCNKj/NKS7p8u8jW6FNGtHi5FGhrYfwZHZAko4/xjmuIpUkupc2rtLtscUS8HHEmBPO0lEbkVmaqRNXwvZfSiiVT3CvXN+uD8F6jPlySVpSRl+k2bTxneJuUxHuYfmKbjumYFaR1/Cxz2Gw7ca7xNUDDQJLXc9ghy9GXQqt8iELDzi+f5SglLqWNxo4vwnnG07bXve516VM/9VOZVYqg+OdLmyZGU5va1KY2tandhe35vpS22+3SF3/xF6e/8Bf+Qno+tWkp7QKbidf8qqqQMjuCw1U8vkcVgsoMJobVWAlxHbytwtTOXKVCvp2t+kvESNLgXDU5EYKZBaosjcqwAlL1iSq8IF8z6iFzjIwY6V/FZ0QUQJU6kJvrlG5sVgyXpFweCAOOY14FYkRUo05cWscxIcJgPmN1OmPugypKVZZngyTYWL/fNaywSKeYDak9GtETI0bVLki3T+yPiFj1i4jJIDl6E3wA8GHiTVH9zeqoFFuQtxUWiSIQ/Q6eiuMccP6I+eh24BkEwTkImzICRIyFJfngNw2HHCNsh1koAClM+EQfL1L6v9sHMqJiLgTRJXBsFhH3AgQJY4hcrUJ67GwTXhMSPSsaC8621Rgjk8nXEXMQPLKRQ4N9vqe9PI7Z89GBJXEcx8xye+QYYQyR4gPECP3QzVLTDWmT+yAMFI2WmCvXYpu4HApsBVoC3k9zopuj4BghbDPz88zRkmVDvww0yedInguOR5w1/loo7MlumRaruOYnIPSbfK0xAbSLHCOjqNgfBh0DRSvGg1iAQLsBvI4E+UDrIHUnUXgfiBjQEJ57EeEBVOkU6ArI19jHEoaKsjwQEZjdzmDXkXwNDktE0ujS25LCyAftJOLezeddxGjszoJblYnlBXGf+yNXKJAmS+vj+PWMEJfJ4w+IESmAMtI8BcdIoofdJR2TEBrEmZTkayK3JJ6PhPnMYcseJtFubpYiuI9cOV43S+F1Htyuxsghx8jWCTbb1diQ8S6RUCG9cQFGxMjjwrYTQEejL0JqT2RYYxpoVSZfm5dWxgEZMVIwM/loPp872Z7nS2nf9m3fxn/f+MY3pudTmxCjqU1talOb2tSmNjW1CTG6yCaEJqqKKqSoluujmQKBag+VGfgdNiQDQoToA3BaoPbRdsgTEN+D0nmFcR5IPsE1EPoyqtKisiNXiYqdRJTFKqfwYqvIOaCCDBwjVfwZzbEMVeqfqOBDuYK/b7ZzGgyuxDEKHkHwLXi8qLqzfDY4RpDrL5uW1dfG0ltUoEM7cj/2QIwGomYzIUZACWLtv0r7vkn1LtRI4KmwcoWkug+5OvaxxzlSO659oLoG6jAMoaTSgbHiBDcKVWfBMcI1GKBK20dwL/Zr1RARI3ZSyTGqIjQWfxDiwMNV9UnV2DKl/29zbyHXV5AwEKKqZ2Aq+0A8F48fowgeTrwOQiOhNqvPqtRdCvPMA+jbBohQpdFIT4jR/lIeOsM5GTG3jQoY15tIopCNdR/cKvSjOEbzuku3tou0aMGjibKdx8TSOPrJqjQibuDIcCexO/B+mhPxTmDhAJ4N+m8/y/w8bgkKoWXcB+2yyoogq9Iogcc2LaXXuZzu5qlehjQbdg3kyWVpfphTWklKLh+RuOh7RGEgfJWvRT9ALSr1nI8fiBk5R+C7Qdm4jjgPH7NfRxUdOUZVmi06jk8gRpTRC7GgXN+cGABzuB/FMaL1gdRVRLRsmJg5RunQtgOb3YL7VSBGVqVZiSbkh+aiigzqcI3PcB49UchxkIxGn0RnmyqdtnNxjKAUVJdHZnM6roNjRER8JuSWPL5xe0PmGM0CYdXzaLNBZI7UnVZ0AZXVudg0lHJ9oTbcro1AnfNqNadtMWw5Iim9VWPuz4NmfpgRO5nw+rXcN1Bx8zl1blal8XoJMWJ0USc+3nMg17/ISJAbyhp1Q9D67YStvxDahBhNbWpTm9rUpnY3tgt0vn700UfTPffck79e//rXP+UuX/Oa16SKzu5P//WmN70pPZ/bhBhdYAsFQ3AUwscoLPRZ6ZWxIEAUUA0ue/09zPDoldNW5Ldk23xUI/IkGv1+XAFa9fD0qjSb7KEyhpKrDMZ0YCS2TS+e8z5G2kautlwNQfUFpc4GZn/gRUUYJjguNDIUxwjVdw6jbQYiPOBgLJqWCNWoShvSzV6qDSAl2zqtjpE2KY7RWujJgSotuCU39utsnIdt4hwi+BLQE5Jlo4+B0PWrqLzDVM7SogjjdNVJxGiGSIo+deBDAcGrOp5bGDyOUQSsBtsxvJVIkSrRQOXEjcg+Rin93tmViCMwp2VmJC+uO38PBAmImRAvc3IG8cXYt0QJw8eo2aS0W3YpnckNkDscVWmOgzCqeG1/lMdi9v7x0MLvwFVCnxChjHPrEehJ/5tA6vB3IGmMJiHHSIiRVGnBMRJaCb8a+EFJJWnEE7wfI0YRlhwcoxl8gahKG8c7+Gnkty3luZUVRvCQwQuAjAVqRh4WuWrztF7HNdrsm+DJCVHhOAPCIt8hDgdxt3Ass/0sLYDgiR9GxIvjWOMUFD76GGFMV1QSoo/6OvyOAr0IE8gzGTySl7XsOD5tymheGJA/psTYfBLop5FgqaQCSYlzYyyNYj1CXQY5YYwjIhxnUoS6D/lsAs8vfqS6TBwyhBF3dYS21tdmqT0eOUYef0vCSorSqMExwjnFNvD62GaMpStz3IAjxwhorQObgzepgGZcA47xcQx2Z6EYHUOyde7mAvkZJwPZ8K/yu5/sYxTXOpAbIpkKqLWPkZ+F5fjndcAXETt4qcW9z+POaNU4BokYCeUaDR4jKDzuj4gkMYpYiEBfUByjt73tbenKlSsHiNFTtVe/+tXp5S9/+TNu8qUvfWl6PrdpYjS1qU1talOb2tSesV25cuVgYvR07cEHH+TXC7lNE6MLbPSygALCjsb4hoqz8TVWoKHK7KFwUXWDigKOv6jIUInbr4PSLFet5vtkrlJsMyphvd77KREj8iRin91SAY9SrtnHCFySUlWRVWlW7GSOURXOvShQNw35NfYxojpuUWU0KJAHo2R9BJFuBgZm5n2IY3QzTi7W/fd1hD4COJn1aXsM9EQVWifEaCc/lf0iFDaLUKmQAwQOB5CdnWIdUAXuK3Iw6OIM7yW5GluJhPcTyeuB8wR/pkV8yd6KIXBVomIHFyaOJSpJe0vxuroSxbnjHMkxCkSqWw3pXSeXR1WaOUaonvsqLedt2hAxgizOAa2HztfRb0IOYJZddak+S6nCWLo1On2zsDa3zX48urZP7IQYaVw4LNf+L/nYy6eDEaOd+qqPPgpH8CGdDOFGHS7BoyotFESQPIEPE2PRx3iyW6T5SUrb+wLRaGoEx+J4hLaOtkzhmMxAYakPtR2OWaCCdKrGxR19jIA8gpPEGBgqowonaDp8g1s23jdZjUWOGByc24S4YaJKcl6OAGQPnSE8onC84MysoFIrA1UD2UFEDjhGdIVe7Dl20ScMWy6cr+1jhEZ/KCK8I8eIqE9xfrhuEWmi62UeDsf+GDkTOxijgfgjjhnUp6FK9S4RlYVirt4ivVgu3Faz4bhxUexj1ECVNY/7Ds7Xx9Ehfs8VDkhxjDAIiBiJC0bOjhAjcSazjxR2BtRzJb5VyZEpwmAJsjm6Bs9buPMXbuPseqnEJOSM+zAHy47Het4jzOOK6Biel+s+o8VGjBwnk5+3eNaCx3c6hgiXPka4P2Z5hwVp5wXGMXp/tLe+9a3p8ccf579d16Vf//Vf5+8/7MM+LF26NHIh73SbJkYX2fCBpSw0TyL4ea6HkmFy3DB8GMnEkBMjwK4gTO6x1NSNBoeUwmsSIbKkZf/Zyw43rc34ysmRlsUowZ6nBIS7OyqwXHBO5/FwxYeEl9JCaivTRo6QcdLEBynk4dj2ZhZQMSF0fNLEMks8sMaEcbQZ5PqIQLsxpKNmH+RjQe2AoW/0y2ycB0k4PiTRb4wOWUcmF48Enw2eGC1SxIeQEBofJlyu2Eiqiw8WZSxhuYqTzH6IfDf4CAhmN/k6y2tnPSenux0mkVXEIXRj1AWJslrGwe9ak6/rcSnuYGKkpTQstVw/XaW5pMK2cohJW5DSMTHCcmq36sflQyeNF2nylmLjAxXn2ywwSRExX9c2/zAfxniOHsuPIwTOCZVtDbxtGdXFhDkI681qH8s9sDBYRT8tEEfCD7khnYCRXU6M9GGfBQE2K6RNAngGsdR1+Vas92DCwaR1LKVRrh8J9L7mmFvgPshLaSJfsyjA5JfZbH0aYMWgoqHfSULfhcEnl2QKaT6WQIO8HAMv9yuKiH1EW+wcxcGlnyHVWK4rydeaGOF99apNQ60MLX0QV5betzHejhb7tMfEvdGHLD50GZ/S58gK/AECAZOinbuGexKTfc4lsCxG8nUYaLKwocGjHkWbKIJK8jXfo0tNEjWWONMs1TjJqkrzdZtm2+VoVJoLryBf8zj3MRmEXN1yfRD/n+hPtdQ8pHua07xPHj+OmUtpmBipX7T8f34pjeTv43YsBhzrgXuM5GsVT7RQiMKTk9s8gEcTxkxmx/UtstJG8rW+P3/P6BnLidHlISWs6hdxLVwC5MRIDyyeC4qiQ0NOFHVMW+liWS1bFdxJZu/zXK7/zd/8zemf/tN/mn/+uI/7OP777/7dv0uf8RmfkZ6rNpGvpza1qU1talOb2h1vb3zjG9MwDE/6ei4nRWjTxOgCW0RYCLqtCpJv9oIf4WAGlAKWN2KEKqgPs7VF3cZSkkMKC7k+iZhZfjtaznN55TBDVDELQq+4lDYatpHMqwR2blsE4v6pIkFUvVmuz6UqVMrbWQTf9uNSGhAoIEZEmlCNKRKkhmHiHGjOkFZ1S5l/NqlshnRzQIKlqrhdBJTiWFF1paM2KktVYgiUhVEk0CnEhxDJWfTxGho8CvkBSsQOwjEHokWzQvSz4zKIjEluqyoTJGAsE6GSjqXNIPUSHsfSYUF6t1mml9Jo0mcStpYAgjyM9YgubW8tgzRbLKUxeqSr0tF8F9dmF+hTJl/repVLPqlcStsMabFotc8RZSGCxewOhaHq2gJly8uwOdxS10JIHyt8L3WklI7WcC4U+RZLIj3GaSyl4XskyLsajqVVLTlKXMC+BwpKg8TY3X5fpwURowgWZgwLyddjnI7vG4b8cikt0JQ4IUnE5z23C1Qyk2/x8m0gRgT8iFqMERlcghFplk9Bj/1Mvk7peB7nHBEVsUzCyl9xEkCMcB8A/cVy0WLVZgNFL+NgrNAMsAuk6XixTfVWS5bVk5fSvEwONIR9rXuO2zMp2eRrIUq5nxTwShNSoabnl9J4fCJRE2XFvbQLZG+92vFcchhyKsjXXEoLgjXOeQcyu7aRjtv0LiwX4bqnlC7PsPPYToxvodwLoMbovyA/87lD9FDLfBgzZ1U8F4sQ2bjOuna231B0DfunsAHw8iWvpawyTL7OS2slYnR+Kc1iB6JjFtToGXuAGBmKi2V7LknbzNYokZfS2nielLYYd6pRAHABXy+2Ni2lTW1qU5va1KZ2N7bn+VLa87VNiNEFNkqfWWqMFVAOPnTL5Ouokm1vT4QIqMQuSJ/kwKCh6jOyk8nXWqd2dUIi4yHLLt4Dqek5xEg8mHiNuBuU66saEspwwDESl8O8DATB4j2M3mAsRj+Sr8E5oNFcVMOZb4IKHQTFbZ+Omi35KZl8Pe/TzW4t7lRwTGgmKKPF5fEuc4xQPZbk67PtPBCrecRT4NyAShE5wvmKN8CoBlXnQCOATnAXNvcD/wG/A/m6Gnh8qOwt148qM2Th4MKw34VYmFAMNMGky4PIAZwXeD6Q1N8CJ0uVcokY9RW5V9wOkC5FxGSEr0AIbURpk8D56UBSb2kQyCpb4w68GI89jBmYMsYJBPcro0zibrDCp8HjQI4Rdnt5tSUPJrhd0b/kGImUfiqOERGLgmdK/g54Jeh7jAn0s1BEGP/Nb0RHoe+AQM32YfJIcqsjQWSQGfEm4pKZbNulNF+2RFOASpbCBCBvRowsGS+5eBindCA1MuvwVN2fvB6+r8UfWczbkWNUWa4f6OjxejvaH4gvBNQM0nYaPIKYvNhyfDoShP0iuX5Jvsb5jxwjbU9j1fcTkUdw93D/wlahkOsTMcJ1sHycsvNAe/h+IT89+HbbQPaOl7t4H/kyYz9lg0eSr+PZALm6OUbrS9v0WHccXKuU0tX6RB0UaByRWxz/og8+GHYHc0gjRsXzsQFvu3hGcezje8VxEFnTI5BxKgwpHhH5jABlg0cjuOOziPL5p4gEGc9XfQhuEVEvkdGLSBCiVUaXcK+AexY5u5mTSXRRKCtNYvXMvZPk66ndXpsQo6lNbWpTm9rU7sL2fFelPV/bhBhdZEOlJU4RqwqHyJZKMUnQwZFBRcEKA4UrODdSOYGDY0XPGB8R6q0s1y/s8VkJnVelqQK2GgkVDfZZXvHzHCOrdXyc5hhlgzm9BBwjVMr8V6okVmtWqUCVJumzKziYF1KVtu3TpXoXiJFUWaj2byJXoB8rTKzJAyUBj+PKehMRCeJaQG4PXgTRg30YDIJn4nX/+WkgWK5g2ee7UYGC/gQS5fO1XN8mbPgX6EWzhXpwII+H1bwqehwT3yve0XmOEbdjVE5KMSBSi2Wbmlv1OYPHQKWwbYRvUkoMi4AaoZNFOCcq5UKVZlVPnXqeL8J8HQnC92A7qliJpJibJDWYn3X+Wzk+qahTpIzb1eUZ/yVwsAhkbIFgUY7ZPhs8Gs3iMRR8EKOaDBA2qLKvU3MTgvi4F4DAAH2keSc4RsVYZgCpOEY0ZiSSFkqj+Rwqzj7uvRE8YKxFt4qKHQafJefG8RrkPFmVJn4OEUbeh/uM9rFP4BfajIopmGsSicX22ypdWW4yYkRVpKTiiI9IbUTeXF2c8h6wwSONBs0xAlqp46facz9G83BcKnKG5yaOUahefc1HuT7uzdJ+g9fFHCNdxzB4rFKN/Bxc49UZx/xoVHperg+LACBNAw0tyVNaDOnq8Vl6Z3tPNrG8Wp/KiNQIpPoV5pgLoLK6b6R6LO1M6tNA0jNfR/c8+FPmZUVnBGIUiLMR+hExPbCNENKW742uuKcKlDVHLXkXQAJ1z8V7rHiDItD5POKlOcakRDKFEqFfspKVv0h3rg0X9PUia9PEaGpTm9rUpja1qU1NbZoYXWAzP8dVMg3L8DuvoTuFQhwGoCh+LRQMVD7BP6Xej6q00sdotJs5VKU5/qFwzffx5O2Ag4HivFi/pxpLIZTZH8n7EMcoVGlSX1k5Ao6RgjZpmtj2VGaQN8D4BPGbUEkLkAAiADSp3nZpDcSobrMXE1AEcIysKMrBrVCzzfp039Fp+OmockOgLBAgVKvdDmGZ4NF0ROioyDkrECNvExW0OUZQ4tSOdoj+oKW/0A7sE4gWuBfYBsNNiQ7pGhVqwFyVSq1Gg0JX3OaQ4CWLnhwURGCM/A0hZDjOPqXjJlRprLARuptVaXEduV3xsAINiFiO5rRLl4E2FaomI1+MrjBipP7ew8TPl9n9wOORQrI1+jCQu4Jt3rc85fkBRKH3UZ/CqJMcsyFtEXshJNNeduwnqdK4TZg4LroccQJ/m9n10wikbbrMMSJiZLTV6JL4daAy0chT9xP2dbTY8frzfuLJj0pEmlGCUyIvnYyg1Bq7NCFUv1F9Jp8xqNKabcGbiu3CY8yKKXOMjEbetzrLyj/zW0pVGtGU+VmqN6FmYx8VPkbst4wYSZUm/owRQB8HFW0YNwjm5f0LjtHIrQkvr8KLyEi2+hHXDN/T7HQbzyFcY/LqgNgUHCMaU3Jn5iYNqTdnqxnSw8c3iRg5EuTqLNDF4OcYMUqpRoAurr+5eX5GCh3H9/OzuP/KSJDgGcXryudrAnIoNNyvPUCMhPyc5xihn3msTxEJwn1on+h/K4cdB+RtGzHKqjkHSBeIEVFp7Q/Pk/HZfecNHp/t14utTRyjqU1talOb2tTuxjap0m6rTYjRBTaqKVTZU/Vi1+WyKEE1Co4RVGmoKFT9kLeCSkaIETlHCkJkpUxV2nDgfJ33i4LPvjziBQQ/KPbF6gkVDaMIQllFZYddfR0UazQCG+L2xLvwzYXqzJEbqpTJoemiUifnAOqhUpWmmwpoQKjS2nSphioNLsFWRkGVtsqeI1TsMckxYiceWt3KrtYOgUVlC94O3I1TN5BnAqUIVWMn+0BwwoYm/JBY1cfPrExJchj5B1DMEOEYBiricHxAt+p9cIyIeAAxkiqNlZSqUHOMUCGyGjV3gTtTBTkf0uXFNs1vqupGf4FjZoSmq9LlZpO5DeBZ8JytzCHHSNuU8ovvTUOqT9p0yR5IOUJBiBH6XmGoObQXfaYxGShLOlClGenzeEN7YHkr1UkqPajAhpFjFKq0IhIEXDFtr+QYgQdE9Eq+KAgjTtdu5PHBfm2j8jZiZH5NyTGimkwcIxznerFPDXyQgKgY2SRXLVy6yfuSe3FGROWGTM6TUALzUkI1OqRLDQZ4RKpEfw90wzYXBWMo1J7BM7p/cRJKLCNG6gP4elmVdm9zmuoN7u1AGDkmqV6Ta7rFqBkxGuMsZoUjNVFn/N0+TFan6pnRnAkZNhosF3mff6jLoPCcpRmOB4jR/JSKuUCmDp9tC8kvqRpsEMEirtxiSH9gfS29e3dFDvhAjAJdwvX2dWCEzLyj31bpY4Tr7HGK1pwOEaJtvyYjMrqufpaODu1DHE8Rj+Sxnl33hbDma1Ko0g6UnPzFiFLNSlWa7tG8b3tiGS0Wyla6hdO7SBwjjO948532MZoQo9tp08RoalOb2tSmNrWpTU1tmhhdZLOCwUow5y+VrsVSViBzKHtbSKnGgNL9kJazNit6yH/hdsKvIysvCrUbN2MvDzWoxVLhfI2KBtumu3ORDUQvEyADhasrdyFkyX5GVrzQ+RqKMHGW4NbNc1aVRcSILscKUrQqjYgReBFdOqq3aY5crABaWO3fIMcouAYObo18yYFoBfk2qsTIi4A6ZtmnilyHgf4yOBYiLtsoB4OzEf5L5oFknpSrSOcogWOkjsG1gOII24ljCSQiI2e+3Dy/uCbmzRBxKBCj7FPTdOme5SbNT80bExfGqjQYfBPSi2oWxwDE0dfJHJHgfY0hsjyOs326PN+MSrjSLdtoncais+jczINwsxKSSFczZLUZkA7uC4iRVEMcp0TphnC+5gueDL1DgWWOEREqKdbISbt5M48P9DOQFbwWjsylwpJqR3krla7DOFY4VAMtsjdVuC7boT2uc/Zm0n3D+wkoVnEfmU/HcdemtBbkyG0ILWDln22h4p60Ku3q/HT01Cmcr4kYCSW7r7mV6s2hQ7a3VYYFGzEy14+okrk3VqWRUxQ5geFjNHJrgKhmJSkRIzlCe79tIK64l3BPYpv3L26l2a4nMkXhZXYeh8N6ID1AjBxmG6hinx5dPZ4e210O5+sqpSNeXAVYCxHFNnCPGg0y2kVeYPF8BNJVqgutECt9jHKWIwN/zQNC/+mBklGd4t45FyKbEahSQannXrYLk3I4O2RnKSfGTinvDYQ39xn9lIYibHrg9c3I7B3kGE2qtNtr08ToAhsnRIgZ6GY5TJUt46vxBSmuIW0mZGOJqSD9nbTLHMRK+3lI0qmTH5O2DeceTHJEzKT8Xjeu4wRoDSBpuidnJJ/is2hZyE/xMMN2/dqCTGoI3zb8lBIj8PPKKhMK+fkogzTu3w8KHegwr9OtbpVuthGNgXa02qX37o5Sv4inOvbJ2Io0pBvbVZg9ioCL82TUCk4VhokKa8VEhyR1fE4vmxxHYLIyjf7w3uM4IXzwcslIkSTcfo/rNmMfI/gTSenYJ4nFWOnE37D6s1vlDxgsiXAbXRVp7TbhZKcpmkTHCDk+fka8BZaDLDe2zHc7zGMsYPJR9zEZ5KSginGFSSCuJx7CkluDiA4DRcRkZCm6YiJgZQATRXygXtut4xri+jihHefE5agYgz3Gq8YP26JPb9/ey99hqQzLLpwI6rryQ3UHgvOMY9bjEGnnvI647rsqtWtJ02cDrQLQYfkD59Ix/4ZzPW0XqV8vuP/TDVjTmuBXigLZLDjBCZL9aA1wc7cMCb/WkZnruY4+YkwN0mY02ckWBCLegrwffexPrVi6QrfeaLW8q/PC9yRSS9jw2PZSLFXB5LFN6dr+KFsz8N864n24HLmGb0BEuHgsc4kLQ3iFMNdCCMFroUJFhoMH9yEm+v7Q3c0SaorH2stZys8lZkSoyOLj5mYZZq4kK49iEOzvtFuk7vKC54fJLcaa94t+c7vWH3Ec9/NZGIY6YmM/Sw80N9P1/Tqu42qW3oGxSAPGOGg+jxA8u5vHc83h0TBo3c05Rj05xvXxUmk2yvWyGM4Bk1sEEvt6yUaBX/tYWouftWyI8/CzTdcNY4n3b55k6fXFJBmvQf/xWDQxd2FUkvFLAjeHH8j8mrzScoJxQxVNPnNkz52U61/ActqLsU0To6lNbWpTm9rUpjY1tWlidIENlRgrXFScMqKLytmE0FgqIloggzeHObJJRgu0IiorkbhZ1QaZ2ogRX15Us7GsoGqkgHpNXuWxOZohL1EIDl/E6202GVV6sVxjKLmAxx2+iYpxf6XJxGDKo3U8XiojMVmE5X5es0oFOuDlJhjj3divx2oViAGQBQSengUSAUQNf6fKG4gb+NJrkKwDB7fpIvqoX2IdRRVggTig7Y+jOqccGogCyOlaosR5d8uKlTzRiwZ9XvF4Wa0u4xoAzSIqYkRMJE4ShgOAyOOB/9LQcSRXA71iFWvptQi1p908jCZb2RsIESSCgEoZ4wm/E9ETxwCUaWhmadcDJdNl1bhptw2J1ui7a5t1BMPOxwoXSw8MD8axYwkUFbcrdFzeeZfeublCVAyIENEphxrj8FNFE8V+ARRwkcmo7GvJr2cFYgS0sd0FspWX1I6O8nIxqur2uKH8fLczJBfvpTXDWQSXsu9sS9CntN03RFUZa6Nx2h9B+h99j/52P+tSRkM/gADOqJHCHBIIWlOlE75Ry35azoFZo5fr3rs5in01cU8CBSUptxmRHcT7AIEagISViBFQQPRPp/GAYzCSgvtRS8fxYi9j636VvQePDYjtKqUn2uPRlHE+xPUkgpHSGdA3hp1KTGEkphnU52G10A5ASEc4g8R19ec1RH5gpbepUgMCtZaIsf/7m1vpxn4Zz7Zlld7eXo3t74vleYQib+vUEgkf97/dNUSWHBiNZxTRP5mfEnkSUsx7gUgvkNk4/6yCF3IzGngKOXV0iBFrI3K4Zlpa5n2j76tiDPNvohiMz+gg40Mo4+GZl9kyuhXRLEQKef/O0qZrYun9DpOv48PnAr5eZG2S609talOb2tSmdhe2i1gOq15886IJMbrIRgk8UANFTJgwfCDRFCLDdfdkAqOIsuIDoYrr9sExIuK0d1xH8DtcNTqgNPYBiKCo0Py9+D6OBqG1vtfkuyLcMa/VB/fIfy/JpPhbbCfk7eTw7Ku0uwymtXgLChjNvCqRcUeO0SydETEK3g5eBVLytS14O3EMqM7OFHS6O52nGXqqII6CY4RjWC1Dlu9qMy4CqtZA22i2JwI55d5DSvsjmTwqpJNoAMibRoxQKYJvAZ5EDWQveDzBMYqK8GQbPJh8fiJZo99Q8ZpjRPsGmRCiXQFi1Ec1T34R+he0CJFWz7o592Fi/sgx0riSqd5sXnCMdJwI2R15T/rCuNlFYC6OOYwsR0I4+Vo06AyOEdA/V9o4MJgxvvP0Mn931s+DU6Tq2OZ8NFGcBycrCLCBhtiuAn83VwVIRbeLfYS56RDcGxWlZ0Av1vQgSN1W/BQhQxxXp3HNGFxronKf0mY/j/7M/Lsq1es2zCjbCJI1l8vxESZ/wzKAtx7DdPUpINTnpBW8VNybCE/lcdVDurEBbyiMErHtG7s4F5qF6h5FvA/v95URI0B9gdAx8gX9Bc7LABREzwUiuGP0DzgrGZlUEK6fF0Dk+nWf3ru7lA0GsX/w2IzK7DdNoEUmKztaphnS2X6e2qMYZxhLRm15/VYjinatOyK/q29maYkgXVtDtFV6sL5Bnhfvq2WV3rG/V88GodZAbsCp2tWp8xgTsgV+kZFK2h9Iws9rJOQzB+kCVfNzztfRfDmFT2fCeOYOiStpGxMiRgrTfUqOkZ9j7vtDxIjjDhwyG0OaI+hDxDHrmUQEeYhnyoZBwiYyvwhnGi+wNiFGU5va1KY2tandjW0yeLytNiFGF9jIV6HdPaoEIC8jauNqhYhMwRkoOUaWsQKtoCpFlT8DMFHclBwj8x64A6nPXBkBqVC1xu3KfDDiAsZIAR4rvmDT70BGV0niGLGiqp6sSsM6u437dpfGg6G6p4BvzTshB4iV14x8lNP9yDG6ujhLN7erqHKteBJikDZjDgqrPHGMcFyXV4rBkBFkcF+gQIOZoFQpsjZA1UYexVFsCzwvIgqonl1B9zOqeVDJb9uGfAps46zgGIG7BHWNr1mEfAYqBMSoDF7ltnG9JFe+pzkLRAHFNU3ugvvgQEvyhKRwagqOEfkiqs5RdVIajExPqdLAg0LMCblS4pjxGu+EGFV92mznBWI0jgvygHDs6B9U3JZCQ6I979ITZ0fcPtATHF94YCrUmEabeG8oyjwWQ7kvE8sdVFfxe6KNQAhmIXsnEnQEOCfQE3KFjgKlS9vgncRYDB5cvYnIHCIfNmQUxwj8K6vV8L7lep+NF3sgHw5kFtIQ91twoLgtq5w4DkIhdmu/TJXNKGU0yLGnMXV6BhQokExc45v7OBdaPxDZqSIsGWrHNbhVQxglaixblSYqU1ZrIT5mRCRChp4RSiFGRkiJ4qz6dG2/Hg0GoUqba1tAwjZ1XDPFvOQw4jniSuZpfxyIEVSHJcdoWMtoMQWHKcZcpSDdkKRj/w/Wm3S6wwAKjt7v7a9mNDmfF8bUDkrM4P8FF6onisRxylBecIxwH8k80dYKDvcVT4oIrI00gfpZHUZVmp5tHsdEvsuU2oFjCfeUn23BLSpUaeIBWsUbzy3LzrCNCMLNzzd9b4SOyJBCxK0qhZrxuVCl2Zrg2X692No0MZra1KY2talNbWpTe6FNjB5//PH0ZV/2ZenKlSvp6tWr6RWveEW6devWM77nMz7jM1JVVQdfX/3VX33wmre+9a3p8z//89PR0VF66KGH0td93deltnWC4u1wjGINnN5AhRFd9taQeVv2JZHRWcRRhGEgqjiqxBwAi0pIHCOb2j2ZYzQqxxgUq7V3KyNmjgaxsZkqZkZcLOQHZB8jq6XIbSgiDszlwXZQ7YFatK/S/lJRfS0jYDSrNORj5OBV81FyBQXTu8UJOTCsvO3DRG+TKs3OZmFmB6RNCBBCRLFdqNkiOLMKX5eMDoFIIdUc+ghVPf2VRsQIaExwjCI0k6q/XpUifIzaOflC+DrgGCGEdVMowApVGipdHyMauRwKzES7pz4dt4P+Vp8znaQCUggfGZl/1uc5RhXHAc4H/ByiPOI/mWNktMocDrwe14cmgxspysCPyD5GgSIEkiJEShwvXC6Es56cLrk9HBu4XWFOGdeWcRLb8GUCyumYDtKNgNwpPsYcI4xB+BrhIi+auMf6I3lE9TOidPD0IUKwLe4dtEWfmtO4ZkAAYjwGMkM+Hu45KUJxHPccbQIRJBoWhBibCgbHTlEh2xi4GM9GOckXgzISvBD+Qv/0FdWivFXrgfw39pciWuDJE/ykuAeCY7SPcbUCFBgcI6BQ9ruyKg33aXjrxLlmrykhElY7BhKl54VMCNOqo09VDjHFvVkgRtXGrq2B9PG98N+a97wP9+tAJjGWMk8Nj5EVOizG0vV2HfyuOiJYfI9jnw/O6vCdwqVZpvTO7ZXM+cnjEcexBU9u9Boit29bZ+NVomu458xxtFFuXarSgLTCkNXmiR7zYZSaA1qtSitQH76uKjlGBSKl58WIfBs9kjeWUX2qNRWZouflAaJijpHMcPEi9OluH6q0km95R9pk8Hh3c4wwKfq93/u99PM///Npv9+nr/zKr0xf9VVflX70R3/0Gd/3yle+Mn37t397/hkTILeu6zgpevjhh9Mv/uIvcvtf8RVfkebzefrO7/zO9+v5TG1qU5va1Kb2/myTKu0uRox++7d/O/3Mz/xM+sf/+B+nT/qkT0qf/umfnt7whjekH/uxH0vveMc7nvG9mAhh4uMvIE5uP/dzP5f+1//6X+mHf/iH08d+7Memz/3cz03f8R3fkb73e7837XZKIH1fGl2j4QtThTdQwTGKUiNeZkfpvgheReN6bjeE8qVQb4AHwbfDvdrKG62F50Yui/aH6iyr0uR8bW6QlCmsWuRei2BHVjPZx0NO1Xht4bibuUnwUUEwKarPfSJilD17UO1akcZfxHvhY8TjoafHnDwdBzg+ML+VtvDcsY+ReBHs0rNZqmWjTSRDLsk4BnCTzKvKIY0Fx8joTalKKzlGjh4hYqTgTnIPkrySxDGi4srIDba1rem1w2N1/wD1ERKYVWmKF3BgJREjBaKCX5T7XH2L6p0+RnspdIQI+tjJp+gSVUGsjnVsOE4er7kjqn4xbvgFtG0TqBddmc0xYgLHqIwMVQ/yDQKZBDKwP5lT5UW/GyFYVMgBhQPHCEGti4qKstj5WG3Dc2ZWIEYYgzON62UdnQIkJXhLUVXD8wjnRe5PwTECD67eyL1a49Z9B6UblXUF/+7e9SmRN75+GfEzRGeBFtibCxE8W/WtxgAvHcYUXKH3VqWNiCx8ePg9+mhTh68X+q6D91Yo/6rMMUppXe94Dt06znulgNXsfC1VWox78aaISJSI0ZNVaXa+BoerWbVUhRk0xbn4GuD7+ixOOFRpiNxQf9R92sEd/Uj3BpWN4707X4X6DA0u4NgX/r5GkK5EhejTK7N12st3Cmjoe7eXMmKZ7xGG7QL1HLlwNbhUGJ9SpYFjxPvH7vz2MSqcr4lwtlW4b8sHzv3k+yl+Do5hXPeR18N9LwLt9qwhq9f0b9yjhQ9advRXQO+8G5Eqqx0Fw5PfKf4bnK/DO6ziM/0gVuROtcnH6O6dGP3SL/0Sl88+4RM+If/usz7rs9JsNku//Mu//Izv/ZEf+ZH0wAMPpI/6qI9Kr33ta9Pp6enBdj/6oz86veQlL8m/+5zP+Zx048aN9Fu/9VtPu83tdsvXlF9onEyYrAY5e/70NJlQpEN8sCjd3ktpfh3JpIgdYN6Y8sJEEKUhmZbSIh38nH27P/C4lKZNOvldDx2bCbLpWFeLfYazD5bSvB8tWYQsPh4YIObyA6xFzMZI6IQpoI8n2wLIoJG7bGLZBUsSfqi9ZH49tRvB+HpQ8ZzxPMWHoaX+Il8zdb6q0gOLkwxpY+KVjQcxuRD5OptbLuKB1R73kXGFD8Vd5KMxtdxyYEqngwgMWB/bwDKVjRmZbL/RBMhkdZFow95gHCc87mIp7aqW0ig91+ujn+M6k3SPD5A20rgZ2eIJGSbRXEpLJL+atE+Zfl1F/IDHkY6Ny2j44Jz1abbRMpgS2qNDYzJoUjI/s3VOeC0yyNJJGDJiTLof+JzMcv04vh3GrLP9FsVSGiZOa00QcRwwCaxCxk5J+FFMNHB+bTtL8EjkxHuTP+F4EbHcC+66Yz48YeE5ySzTKfR4/0OrW8wL43IZomM0njHp8BIKjTQxMeo10XejwaPuQ3eUJkadY34wwTjDQNWEHcTsXUzyMOHwcSBPDsfVLmN5dy5nQF/TIF8PEQmipR+ca5mbxsl/GQlSLqXt4Hiwj4mRltJmxVIaniGYUPpDnbmB+V7t037fcOJK41SR/73f41Vk9+H7m5gY4VlVV+mIE6Poa83zaELLScwypffA+FJFE8/1YGI05tOhz7GUyQmUl9K49BXPR9yXJjTnZwqWwNvxelm4gPHGYsHLYzLU5fOrWErj/QvhiCxS/Dob1+a4lIWf1dqv+x/PUlhNFITrElHBpNjCABqOQq4/V6yTs9tejBDMC6y9IJbS3vnOd5L/U7amadJ9993Hvz1d+zN/5s+kP/gH/2B65JFH0m/8xm+kb/iGb0hvfvOb07/8l/8yb7ecFKH552fa7utf//r0bd/2bc/yrKY2talNbWpTe/+1aSntBYgYveY1r3kSOfr815ve9Kbb3j44SECAgAqBo/RDP/RD6cd//MfT//k//+dZHTeQp+vXr+evt73tbfw95cioElBNgdDsSiWTrwuo3nJ9LmNE+rKX0kjwpFw/qhZU3ekpl9KKSkhLLUZ9THxEY9q2yddGKSQDZjr5YjfCzSJ7RkL8eYPHgPBZCS9aka8DhXE6NYncQl9Gqb8iO4wYgWQLma6q4gebmyRhGv5nf4AwigLvLPZpg0ciN0LgkAbuvnAkSBCtq1Q3UX1GlRxJ4kRIjlSxQ66/G1g9N1iGkxzb0mnHEuAcKdH2kgf6FiRSk1QNIGiJh9Wx+706NHi8OjuVXD/6NsiyWu7hUtqcxNl6PxBRYRill6YGoSV9SkfzHZeJYiktkC2iaJYna9xwqRCISUJ/apkJS2lFyrgr8IgKGeMbsL9LzS41J2GmuclLaTHGwzcUiBGkz7GU57FmxGgwogRCvpfStjH2iRjJENDka5CoEYgaiKE6UdcXy71GjJjsXiylYXmGRo4iZeP1L1neYD/i3ObLQKcYydDE+MUJ4nyx1Ic3wAIhXzdsg6Gniv9wI9F7NFutz2KNzQaPDEPFPX2wlBYwRgdSOWwKYt3lQK5PdKJYSgMikQnyEmXkJVqhERZrYPOXVtt0tp1n8jXOJQwKY5kY/ZbFGVpKI8o673g+7XoMZyZxXidNcYOeXbAusKnopWab0Y+8lKX7FffP9c06jlHHw/FU93yO8bmkZwpEBDAAxe+DfB3PFBtRwv4kL3WVS2ldESlTRoJgbJh87UDXQtwQN+rAJbz+PPla+8lGtFhKKwJiy0gQix/yfotlNZKxbcyJ5xTNQ1MEQD8XIbIT+fqFhxi9+tWvTi9/+cuf8TUvfelLyQ1697vfffB7KMegVMPf/l8b+Elov/M7v5M+9EM/lO/9lV/5lYPXvOtd7+K/z7Td5XLJr6lNbWpTm9rUpnZ3ted0YvTggw/y6/drn/Ipn5KuXbuWfvVXfzV9/Md/PH/3C7/wC6nv+zzZ+X9pv/7rv85/P+ADPiBv93Wvex0nXV6qg+oNBO2P/MiPfJ/Ph6iJKppm2aYtQi/xB5vUeS1bnAFW1CSESnoqxIiVL8ikR4GDYm1+AA8Apn+QRctALKq2UXpN5AGVGgwAS44RyddBuKTMW7J4V5Hgkozco9HYEdvg8Yq7kcnZVUrr+Z5FYoWK+1IX1R0mjfM2ta4wJAu2uR8r58XAIE5XUDheRAqAt2O0hRyTLSpYcYzSIccIaE4NHsn8Rg6RBT8BB0ZuCzhG+NcyX5wD5dizVB+1mVgOA0B836iCJeIjM0VwAvpzHCOTr8F/OSBsqvI3F8Ry9pDri3+ECnyGSjv4TuT8CBXA79BPJN0D0dkPPJ/MMVrGBnlNIaNv9ukmuWkjSZyEdHGMTMIG6kJUBOcIdIOIUSE1VkzEyDGKSp12D0CM5pvUAOQSagbEKBNIxTFqtimBUgKuSoxDoU9A+Ph3sLhxoevgOonHRBk7HAsQAWKOJ8jvSNUAmgGUA7tC/0GRvtin+lQ8kGwHEagPeSvnOEYfuHwizXYRtgt080TjmUR7GwJ2gcZSgNB0ySAV5fpAb8wnKnkk6C+cPhCQTUqtDR5xio5sgZkq/hPZGn1MG4JZH5EgQiBsDEqLC6MSs4HHu/c1EuKaydfU0R/K9a+uztJj1y6ltZBHIBp7jtVAj4JjFFYGuA/IEwRC03Rpu19mjhFNQguOEaJ6HtN539ovgh9WV+kYiBH6HV2p50zYK3S89xj8LMSSfpi1nknoa/KJYv94VnQYD7pfGnSGTGP5HKsHejMGobmKp4AMU/HeEyG1vJ+FvGaBi0UEFpyYFF2Dr9aOMUwykrRxLflP2BEjj4AUC6UTdwhvWTZd2pwPkVWLay9E1XYbHEtFjM0dbNNS2l1Mvv6Ij/iI9LKXvYzSeyA8/+W//Jf0qle9Kn3pl34p+UNob3/729OHf/iHZwQIy2VQmGEy9Za3vCX9xE/8BKX4f+yP/bH0MR/zMXzNZ3/2Z3MC9Gf/7J9N//N//s/0sz/7s+kbv/Eb09d8zddMiNDUpja1qU3thd0mVdrdOzGyugwTn8/8zM9Mn/d5n0fJ/g/8wA/kv8PbCMRqq84Wi0X6N//m33Dyg/dh2e4Lv/AL00/+5E/m99R1nX7qp36K/wI9+vIv/3JOnkrfo/elMZiS3JGKVV+oZ8I4MFcjVplItRBKmZHHY+ULFUiStZpvQdQHRdA5RbzXgY3qoGrJqjQVnlRtkWMUJQC2RWVJl9KV+TbzAajKwDG5EgLKlSXl8T5yRJp9VHW7lBbHu8wxWs33Y5VVxIlYrg+OEZARVNdGtR6uz4J7onV/VGdUCxUcI56LCnhWYhW4STcy0sVq00gGqDrgGInrQWk1bASAjh1vgwsmVRoqRfIVyN0KY07uA7JicT4QroltA+3CtnBsOQhTCBH7W7J3N+wnUMD4+Z6Z5M/LuD65z6lKG0IFVQNVAWKk8p8IzCjNxraAGBkdZPAnVWkxXjgObfMAjtE++Fc45ow2FHL9HFmCYFpxnswxQujt/FbsB7w3KN/MS2K0DRC4TSiggOJxm5I6o1+BeDVnQxgFavySTzIT90aclLANCPM/BJcS6dD1N78BCOX8dJBpY4FgdqONgdEv/P6ReSBGONfjJTourhF4NVYfMXplE0jCYm7oQ+hPLc6Q1abuL3GM0NdA04wask9hVgh0FvefeEFLEnOAGIUiau6x3IQSDccEiwsaPEpJhnM1tyUiJ2yUqmPAvsG7Y4hsSvctT6nqhJoRDeOZnDogr3VwjPjZhv6xVUdV8V7Ffdit45hC4TiO3/uWJ/k+PtktydnC38E947guOEY0ysShLoe0P4v4k8wTw5gDcrUVQicOHNSV+B3VZEkKPpynEaMc8lrEDCk2Ce/lNSFiNKoMDzhGen76mcdf1wPRJloA+B62Wli8Ju4Wqjf1fTy3dC5Q8eL6lKrB8nsdq8PCk68rECNbHNxJjtHU7l5VGhoUaM9k5vjBH/zBaShmto8++mj6D//hP/y+24Vq7ad/+qcv7DinNrWpTW1qU3s+tGkp7S5HjF4IjXEZQgiybX4qlAiqTGhlUvjfwPsHLbyIBipFyvVyq9IYBKuqKcddeNDaE0n+H/YQ8d/q85EgQjNm3ZAuzzeZm2FOQ+ZvFJEg3Lb4AZfmu+xjdM/RWX4dzztzjMb9zzJiFHwVBuOqgnpgNidvx0aXrDCFGMzPhvG94gxZMfZwff3Ax8i8E2wHlXKOEgDq1YS3DI6Vh9YiABV8iz7NrWgDt8QKoRacp+AMQfGVuT5QtWxGM7gIl5Ti6byPEapPI0YVVGkRg4Jq1GhdGdBLbyciN30gKngNClAck1VpXeL1Aj+K3B+YQjYV+wQctBwiK4QJm8E1A/JGNMMcI19TIJxSq9kHhj5YQozIMZpFFIYjSuzLZQ4R+gCcLF9rmkgCMWIkSJ9WqxiM6GvyVGYVjQ+xE3BvZBNEdVmJGPF34uddXmxTc9IFLwwoQaGss7eRFUsYGx/UPJ5mu47j83gRg4n+UFIrhupSyNRQ5VDbkmPU45wMuXIAShGH+0kco6xmwnWFT08fiI3vp6NZoCtWNK7MMbI3VQeVlIJl5WME1eGotorjzONKPBlzjIB6PrC4xXBej7NV02ZVGo4FSFupSqsLjg+OuQdiJI4R+WHa1f2L8N3CL872TaB9QIzqeF4wRFaIkX2nEL8ynEW9nXmOszH4mNdOz0GgzrjPzTszYmSOI+9hwt2jkjIMHkeD0DyWSx8j7lzoDdVxBUSDazAPjpE/8Y1O8Xmm2KVmqXHisFiH1oIy1xTP9mzwqH4QWhjh0jLwbMyDey4MHidV2u20aWI0talNbWpTm9rUpqY2TYwusIXzdVQJqFKJCqhSyy6s9geyj1E7kPdAvoGqMCIFRGtCQaPiOqoZcx3kY5L3LVUa0ZO6y4gRqxY5X/NqG23S+jm2dbnZZLTJSJIralZdxb4cCXJpvmVVBETioeNbmYdBhZurjKyqKThGcwVxiheCdmm2Cr8bFprBcTHHpDntUw0fHuxXDrhUYFUpPdxERTtyjEKVhmqZCACjBCr2G4Mfh5RecnQrqm0gdeCgpEMfIyuEIsRXXBNKYxTAOhs5Rjl2QNEu5XWNvhSiAQ4Rz3MZ12IZPijm9Nj5GnETqKyrfR/Vs7g09MSSAom+UzU4YcH3CFWa4jfsfC1uBlVYQIxwjkA35PBsZCHQLHGMsF+HE8tV/Z7mNC1uxfWGKzX6PXgeCpuFj9GmC7dwuE8bhQLHSJ5e4CCR4wP/l1mMS/RN5hjB80i8JVTVwwpIH/rYvLuo2OmpdNqS52Lna/NH6PCNc+gLjlGzSbNtG5EVQIzUH+QSie9HztFZoLxAL/K9RIRmIP+GPxf3HZWEuKbwvwIKR+dr3DOh6mPMiJ2v65RWMNfpwJ2KbS44yGKM28dovhiVajg2OksfcFjGceXIkexjtBvSQ4ubVIWZY4SAXvDS6FDfdLyHeG8IUSWyjWsAxAZKOjiDn1elJak+1c/b3ZxoHVBUIkZCPzJipPsV1w8xPkRh/AxqcI/Zx2jsT5wnf9c+GTEiyqRnlhVhdu/GNsDD4j3hZ5U4YyPHKFRpVAIXTu/gX+LZTId5I/hASMWt47FhrAJVMq9LKJ0bOX4FopfRoyI42qpNB9DyeYdn+x1uB8kIz+LrxdZeMByjqU1talOb2tSm9j40TMae7YSsf/HNjCbE6AKbEQIqvYAYuZKQwsRr664AGSILzyO5uAaCMxCtYGWlKoXVsyru0vn6wBfDHCM450LZJM8bIyFWpdkFNhRTUbHe0yCMVUiSfD8qIw7gNRmgwrZ5gkCZtsF12A/pA45uZM4DKvuyggpVTQSZ2tOj7eoIN82GR+FbY1UaFT/Kd0K1O1fJZx8jOi/PqvTgzLyKKqpN56LNo2rOahZU9+BxDSk9sroe5w5uzbajp0vmKwCdQODoIPRCHix7EgaAhPTkb/FYxQfJPCYiRoV6Jfex+CfwWUlQdQ10cQ411YjcoLIFtyxcj8ExAs9EHlQM5g3kENcP3B/0Hc4PnldUpaGPfa3smA60aGcfozgWoGOjc7quDbg24DbJOdgcI2S7zW/FuAEiFNlPQIIkmIMP1xkUUMor0zhMQMTkfwWU555V8LqojgNfTtwbZqVBraWsNJ7vKrgdpSotOG2b1JxAjRequpFjJM6RVWk6tg+sL6dqh3DkIV2Zb0aOEZBEoX2895CnRsQo3LF5LaUuBP/G97U5OkSFxDEC/42ooXyMmAUGTyQhkESMpEqj+q4e0jzn/sEZPI5pudgHwsaA24Fo7Ijgjvlo+T4HV8sco+3ArEHeT0bjoBgF8olxP+t5DxnpI7JS8ASpKl3v+XeM8/A4i78/AEd6Ib/7fZ3qXSA4l2ebJ/kY8XphzCPs9xQPkiGuNf8YXCccK8ewfJTQ50aR6L9UiddjPzYj7BiPzoUkAhuoDa+N7yGqMENBy26iD1I8qzJiJFUa+ZEHPkaBHpFjJLf6FVA88504eJ2niH2PHLDzz+FSkZhDoBXQnFGmO9kmjtFttWlidIGNEngtaSH53bJ1Gn45LVrQboZpuyFuwgzVQ8otGa8eIAfkaxMO/bC2VN/RE1U8hLJVvyY1DJHNcv2SfI3U97Ms/86ka/1ruNnLd15Kw4cNHyT7lP7A6om8lIYPMEOvDnQkIVVPBXyIdpj47Q4fFF5K43bwQN/ERpqzLpOvnVwNGTi2i1Rv9yVl0MXEiJNIPVDxsAPpFt8/uno8+qTFxGjP/fmDjJMPLVvRYLOOiA8abuJ3mDxA/rwZE9rDqK/KSzwl+dqhwuV5MtIDESxaSguLhyCJ9m0dxN19l46Yvqq+0/iwXP9yvcmRIFiWJFG4n/Gh7Gsbr4e8PcjrnBh1WEoaA0r5ryZoDPQU4Z9kdSyl1adpcbMdJ0aQ6/PDyXL9Ks02++gDLzvhEGgi2Aexe7NP9y3P8hjE0g+2h3Ng/2HCgG7SEgk+pClHxxIXB0yMO04Gb4F0Hkt+Xhbi9UU/aikz31s0HYyw3avz05gI7WUzIfNNnvdp9Ic/aNlvWkrDMlO+gTgAZVDIe7FL85OIquFruaQXxzv35FNLabTgWMW4XumTG5MgLn+2GA+xb0rssRzd7A6Waky+5sRf9hP+AEd/IlIH0RpeskXcCsNysXTXtGl+gptb78VSMJ8FCIPFxKhKa4TFYiicW0p7eH4t38cIiY2ltLh2nhi5uMlL38uORP8weNQkEMdRd4dLaVXiGMdkqSRfx5JnLNXyHmahpImdJ/JtGIT6WrGbMLYOIkHCIuBgKU0TF0w8OdHkTa3rd458jaW6POnhcti4nHqMEykmQ+X2Y1neS5+FGEEB0B63U3t+t2kpbWpTm9rUpja1u7Bp7vest/FiaxNidIGNcmahBEG8k2mYCXwyWPMSDZAIQAZ4Las1VOZLMIZje4RiSSAc4Vr+zlfNYYWRXXmIeNJkbIhoCweeytAMv+fSBcJDcRx0NxshU0tUWfVK/xrvg2x3wd/f2K8i7LUTBK/qd9dDkq4QSMHwOL7HNpcCMgdhGxVgGezofdl4D9EnQF6Iqg1pP9TpbIf1GoSOonqVbLx4355vTqnb1qwAGcgqVAf7s5kmzpXRFlwaa9jvJ3swgIU40EQTcSFaSmsClXGfEo0RGdMkXVaFtYm/h5EvRpWABqFBWp8vkRC6fqk4jz72NczDTDFMJ91B43VGf/B6N0PabQGzBeKSnRtgKoc0g0ahwrmTtWTksVCgW/47K+4SPifaEUsw230zLsHNwhBwmM1Si+gavTYvG3I7zpCJ/Z3t5yFfrlO6iTU0xTA4PgX9z6VB9EUlw09eixnNJNEvjBDR9rgUrHsgENTR+JGvWc3Z92fdIptxclzIyJQGnrgeQ5Vu7Jb5vmTfzEekJi+5+EMGY0rIBJA0jAGG4Qo5IEldiNFmmI+BzkOVrvH+hbXCkE0xgeCctov8AQazTq7eZvsMLyGPZHAaQjrAOAUa7HN0/A5jb4iEKDhasnVYPODcsSyOe5ZWDMtx3Pief297KR5nDDFmgvSIKMlINSNbhTgj/1zYWWyxj3lc+94Gnb4HhCQ/0R5lVJsGuEIoOfZlwOjr0HJDo4UHj11L8bgmpCvICNYiDPZtN+MzarQSiW98j+M+yqfgZfLCtgRtm9fLNVaK5yv7wGHMimFxfBOR1Ts9y5icr2+rTROjqU1talOb2tSmNjW1aWJ0gY2Ta5H9WsUnlBU4KxjxjFAhsdoMPitNBIkiATFSdWLEiAWO0RtJwfM+RRpkc2FqlGemaAtIzoFICYUxcdYIDhCITG40IqI4ChcLNg483UXV/8TuSByeIZ32C1Zi2N6mm4/2BEJzgGy85+yYHANUeEQHiso+diDkALJxoGQ0UIyd4/g2QBugsj9yWOdwUJ2hiiM4AcRI6ATRG1b3PREtvHbbzwPZYxwFkJkq3douFV452vUDMSLS0wjZcycU5E6GXbpaBMHSKR4wh8T7xC3r5hXjLt7a3ozrzvJ9rICJNkBe3QsxWdVxPuKFEH00n6lJ6RQad1Tv4KlsEL8QMTIcL+pLysEVMZGjFWSqZ2JwUfiK0K7xVMKPkOozwHggATf3w2yQVcAsDAJljGjUxGT7QYgo9neyg+tgnMONbp0rbJ6euCAYrzCb5NjFuAc1Z1sREexXi7S/ZORtlPLbbDOPB+cqr4EYVemEngARgBrjIo6PoMMiDuL6Zh3oH/sggp2DTB9CBN9fGdnU2KQJJO6v9RjJEyT1OK6TfsmxZATnse44EByQ7YUS41gQ0kpy9BD3kNGrEqkC0mIO2XlpPe0FZiPHLeJRhJIs4jlj+fwGpqB1le0TWiFGcZ2GuPRVSu9q7+F54G+Bio5jhs+qeSGgMJJYmGT63gdaA7l/t4z7heHIekYaQYXlw3u2l+K9ZT9SCDJGdvie3jBMO0xhHb2B42GDEICIkZ53Qq2MJuH88zNUhw87CvPmjPi7Ly1M8etxffL56vlMi47CtDe/18a5uA4+vjvYJrn+7bWJYzS1qU1talOb2t3YLkJVNqQXXZsQowtsDMLUejLXwFVR5DVrqi1CBUG5rqoqvA/IBauwFbYxIkas/FG1doe8pdyegivC1/FvIf03ShGIgJAkqYCw7T1LHnNojE6pKNI6fexnSBtwffqUHt+uQ8LagsMxZxUI1RSqMXNvuM6vNf5rp+uIg0BOqg3wSo4Rzwv8ooF/5zmrH4DygN+C6pHoxW4W3KYhQllRKZM3gO1s4hpsd+IRiL/C8xUfivJ7Vqk1eR6nm0XI1FWdZjQNRekiwlDjDapeLQduLaMObsZozxDonMNuGbOwm6X/214O9EionxEjXHNElpBDBU7YvCZKlk0niYwIAaoTETqjGglmekBloKIzgsJxo9iJWdnJozFeNs7LKKOQEIxNmZSS11NVqVuH9NmhqkYC0Y/DHNr77tBkFMMe9hBEPCsiA3i9UT/0FThqZeCnrQ0o+wd6puO3TQEQNCBp+yNHNChaR+iR74lQZsbY6FYNt3Frv8z9vdnOJQWP8FtX8bc2C/GLFPFBjlF1IF83SkA7Af0O6CVtE1Yj0oF+4XkC3esXgdSIY/heIkZCJxx9UfXpVNw9bBRj2feplXfx/kB+cI8SbSnu+8yPyijHiBgRFSvUWVYyNhUUkBGWC8QrjwvdmO/eXYlxIMQISFfJV+S4tvr1HJct7mfF/HRV2u+aQKWElPsZadQL233P9nhE5XCOiOJRn2ZOnPYDxMg8LjyjMH5zpBA4XXgGkd+D+yaewbxeuN/JMyvMcnGIQkM59oWYjxwjw0PxNuzbquLY/njepZ2K7wn2vY9PXLipPb/bhBhNbWpTm9rUpnYXtmrApOzZQT7VRL6e2rNpXBNXhUeOkdEdq7yoeoIJSlQxQBaIKAwRAkquyKLKxo5EKA44RqMnktuBuqio/vkjKhUoeoB8kGRQrNMXHCPyWfhGvU98prxPc2qgpNlGNXxza1XaENU8FDDtWMmBd5GrvXpIZ6eLHEJJk0FV9rl40msZNDrTOdPvBIhWzaqWfjBHil5AH6eI1sD7duAcQA21jfMEH4bIG35XDeTgkGM0zMnnImdiOWNVCmUX0Sr7Qym4l6AfeDzgErGaLApjq2fkbxK2/zonqdLIMTJi1FbpLfsHomLOocLR6VDaNQt431Tk2HQ4LqEOUb0WqjRdL1TjQDVmWylvUDWLOxXEKnEfABYgZkV9bb8ec3jyOBLaGUrAgmOEyh3gDraHqhpwhbxYqG4CVwXeQ+JiZI8kGXsSNVD1TdRPHKOb7TIjgkZw+F5wjMyX0fHB8gj9AcXm/lg8rkJp5Gtgrx4c89mwT92qFmIUiCDew3HB2JxAjBBRQ9UUECOguEJGEexso0cjj1bkmbdGdAOmjkKM3GfBeYnjOu3AMXJAdJUe7y6xz3hfi2OI8UnuE469H2NesiJO0T3paThGDLaRepVIm/hMRohwjjZsRaPyUeo1eP/gujKypDAmxCYe210KjhECcBniHNeE6DYRo9E7iUPaHEU9u9yXVDbuZtwOx5yODSi2xyCQ2WvgeSmqyErLiCcqUCN9zyBqoTBE3jJiBNgV74tQYfI5zUdjgHcVz4o88LVtGZT62pWqP6vSfP3Jb8qo2KEqjUarRQA40VVz3ubPAVjUX9DXi6xNE6OpTW1qU5va1KY2NbVpYnSBjdVG5hipvJECi4UUKhlyGPSVOUZAjKKKa1eFT5HWp8OHQzyhQvnBVqjSXI2YI8Bj2cc6P44ne6M4jgQ+RvDpEZ/FFV/myojbwG0qXLQHctOldLJdkBcD12aqaLpZcEGoFjHHaFSldacNK2fsDy64pVpjO0QkgUMvwTEiAmOO0TBnVRsOwn1U6fD8GcbgU3jqEHHaRJUIp15X+eBw0DuFHCOgMVKlLYKX0wMFEwJE3xeIk3Ss8NTBuaFVBxyjCK10wGVfuoqD7wNU0BwjRQL87vZBVtklChccoypiYVDh7mdEsujLlFE7heMKAQKnKxA8OFqrMgeq5etVIFUHdzhiIJqwKA6PphEiN8coLkT80wGJwPGtFTy6K/qBHCPw12bp+Gg7VtaFKi2iEYwYjWgjzgO8n6y+lC8Q37uvGE9SqtLgqgzeDRAgc2E4PmyObX8Yx3lUKd0kxyjQUvB3jLjB5ypHQAD9WEi5tQk1o72VECFj7xmOCXsKycOJ7tFUegXCZY5RcGOAFgePkBwjOdfjvnisvUyOEa+nfMzgCA40zQgh/aGyMrNwX3Y8BfaBvjeaVarSfL0LxIjniOvRjnwacPgQwUH+E9Cc1SAeYox/tMe3x3G9lgGTBcJmhAr8LLm265jyP1Lmlqo0jmuIEnGtWqnSfA5CU25tYIM+KrmoHhUKH1xFRbAYIca9i+1h+/YxYvSLfdnkG8djUL+0FXmQo4+R/gFXTMhr9lgSP7RU0OLnbfl+I1JG76VKy2iT36txn3l1d3gp7dl+vdjaNDG6wBbLVXETmijND3c92GIpTRloJC6PEk8a9OEBuzQmHUsyNDss5frFUpoJhbwJTQ4tJ0Z8GEoiqw8nm/jxw79cSismQfmhkom/RfYQPtz6lDabOaX1WH6ifBXHugvzOGZZCULn/rA0cVoXS2k2eIxtnw4hIcdoZAo3iLEyggwy6ywN+FDGsawRKxFJ1Xs8yjs9KPUkwoco+xQTKS1XcfXHE6OhznJq9DUfvpv4sLQ5IZrJ15SOK6LAS6LRt5L3izRtuT4bJrxevvRS2r5K/9/m3vEhqqUB7A+kVKa+43SxlIYJG09CEw1cC0UW4CvIuZhAdFxmsjllvlb9U8n1Y7J07ImRyde+5JpM8RprCQNLJngfPjQxYcWkZTR4DINCfMBeXUXkB/PnHNHAT9TDpTQuxXHCEMtb2TQPcwuNCXyo4bzK48O4wtI0+qU9GpcVPQEsSeT8oMbECBPgdQgP+EHGCU98QJM8jTEmOwZeckyMsB1NSJhZp+y7LBcvrBoiMzDGPDbQrseUdY4pkcwxicVylfvnif1xLIPi3HHNtJRGKwSNSxyvjSYdz2IScFySgeaHpVwfz5MD8jXNNkW+xnKhxQKQtWOS0iByo4/j18SI54bz17h9AgILnMcinhec5BZFmJ9L55ujNHg8oAzg2LdYItZ7UCBqYuTjBbXg9CzW7LJRal5KU/8XZPMdlsb7wnxSkyveC1hq1/Iar7vMU/mytgozx9KwE//KhNPFBc9X/fskg0eQrz0R9/b1TBjl+rYTiclmXuqTPcsda8MFfb3I2kS+ntrUpja1qU3tbmwX4Vw9vPhmRhNidJHNYbEyL2NTdAFahDhGuOOQEaMg9tLsDfA0eKIOi1VgZBkJYpQoQ8Baljs4DFVQjNfAUpoMyLJ5nSwCKNeXOWJJts1y/RwJEsZ3DK/cCk3YNmHG2GIprWElhsBSkiJR8QmGZjc0Q2pOZgyMxDkyZLMgOt/ssWwRMDmW2YAacfkwy/UbVpzYb71u89LEfgjCNJfSOi+lCa4GwuQQXvQ57AQ6kFYh0Y8lHSAQqEqDwDyG5jIUdqsKlUZ/Zk+OiJLDKQMxCkTEyzgOIcXynWXN6OvfO70SKI4q8ryUtoCMHohRxcoVSBaW0nj9fS20tETJOewRYHvQ9Azs5Ha4lOZxpmtdyNh9bS8p7dPXJcZUVOe+xnlJzsjWKq6JQ1UjRDbk1IjUuH99eriUlvs8WNhcokFf4hpqSeFkV5Cv9Xqe774iOuV+wx8bkq+BOFQk3/NSqL99D8Q3o1z/JkxHl7H8s5F1A++jXSBGQEtwDxJNwZCBzUNBvl4U5OtSru/lsnEpTagulnjNO+ZSWvQv4kjyUtqQ0rX9EfuMy8UiU4McD5sGL9vQBkEIkO0zvBRvawObQ6KRDF0cO+7/0mwTgC52nqX1IH1Lrs+QYSCB6y7GJSXq0Sc3Nqs432WgolyKJ/ladhQUFega8v8iZPrgWYhnBK1BvJQ2PJl8jd0t+tRtZLmhPi7J144kMjLO+x2vI7FaS1WSzVucwTGNawe5vsYs+iVH/Og4uU/FpWSrCo7ZeNgGkqzXD+Ozxii398sxq9f7k7Vchsty/ak979uEGE1talOb2tSmdhe2i3Curl58gNGEGF1kC2K05PoKKi0N2sjDAeoCPgUQo67gGDF4dSB6AHSADZVWlpuOvKWDq1bI9c9LQQMxivV7muzlYMqw/Ue1SMK3NpDX281pOEe+RpVLxAgV0WZGxAJID8mMXZXq3RDVGJEuya/Jnh1ScwoJPM5lYBRBJl+TKBvVcsioO5JRiYiwKodBYJ2rwOVqF/LnLqUdKlQiRiHpx8ESECEyIF6QKmxyjEjYhkS/IF8DSdoE52MkX8e5kA8BRKjgGLGCFwGer0elLplzlvuTYwTkRRJgIEZtSu8+uZRDOjOZF9X/KqI6cHw4T4wBG4Tma0GEY0TH8O+i6YimBEpZkMzwPfhqi3Njw4iR+RoFx8jGhRHXEiZ3INmy/4AYmY9iOXUaFPhapZesbjw1+VocI3JJZB1hEuoGZGOPYxkmsj/3VVrO25FsS/L1QA4ZolO6o+CdEXEV4sLzkHGe0YaTYcHXM/JG4be8RuCSmGMkMjH3gTHASJAhh+2aY8TAWP0+c+Ek18f9xfetY0yTU4bxRY5KzzgScOvMEbq+RxSKxlsh17e4AGMM/JnR0NAcxRF94JgpiMvs+0Ku73s4k9OBignJZAOKDOQWiNEuIldmy26MBNGwgPEpxzoRI/HEgLLZLJYhsoefmpmjJySX9w/G9Q6cvrin8Dd8HcSaLPqUTsNKIaKUxAs0Squ4GiM3eM7Q3gIcQJGvMycI3D+cK0UCg0QiIxcPESi+ln7mcVyII+RIpDIUdnTpDXI9z03PdyNLeZvnIkEcqB2IkSKi7lSbQmRvq00To6lNbWpTm9rUpnZH21ve8pb0ile8In3Ih3xIWq/X6UM/9EPTt3zLt6TdDpXEc9umpbQLbJR6imOUVWkFYgTUANUhuDlUL0AlImt5VJlco4ZiVdVoIEzi2zyNwWNWXZTHURg8WlIeFVCokyhhLQ0eYcro9ziaweiUnNtYbeP94hiB8wPEAhwDvh8co20olRaoCMExEueGsvKTqPzBr7Bcf+QYKVyU3I8udTNxIFipx/EhiBPvubLephMgRlSlhTqNJpBY98eABucGsSJQd/EC6JykhIHaKyr6QGbAp4FQqzdiBGQmjQq62Tyk/uwbVL65xEyJdLF5l9oBoZwFWkIbhOAYkR8xj+O6frJODdMIVJ1KTYjTP57vgouxE2JkjhH6kKq0kR9GOfcsuDizs4ExGcGp0ADA96ikGcY6wojY7WWSsITGkMs2mkJm5WFWpVHSlhbrPXlh5KLYfkIxK0CMHl7cyJUyEISSj1HK9cHlwvXCeIQ83Vw6HJd5Z7gnlk2bdjR4BIcNHKMwNKTsHPEjj8ug0M9PnKe5OFApzqp0s18TiaNVBawbJMMHkgj5OdFIx+3InmFPlDOOFQjezUKVZhUh7xmp0vjzTurJFS6Uuh/XHf3RhJUFxj2uOY7vBuJJmirGUYGuIWTYCEbmGEm1aPRnVKXJPFSoBGwVcI9FiKzVUId2Bn4W8BitSoNcfzdQ5VnbpFMoHXk8pyDEpVQvutRtYfcRSKifOzSO7Id0oz8bVV4GLoXcAVENxAjRMsFVIvqrZ6RRL6A6s7Mg62SbD6n0rAi0XN/8tswrsiljluvL1FLjtLQOwX47BcZ6jPI9OD7ZEhDdIXwtRZ24h6YaZlWbbDSovLNSD/ewQrT5cgeJ2+DRBqp3qJXI4bPZxvujvelNb0p936d/+A//YfqwD/uw9Ju/+Zvpla98ZTo5OUnf9V3flZ7LNk2Mpja1qU1talO7G9vzWJX2spe9jF9uL33pS9Ob3/zm9H3f933P+cRoWkq7wMaKvURchNrY34Q+L+BqoHpWNWyOUZg9hqcN/s7XA5FgZas1+6cIkc1hk3yDfqeqB1VOBLeOKhab2EU4Z3jKMIC19Ks4zzFStYzKGBQVoALgZACxqLo+e4rM9ojekHqsGVEhnOscHKNtVOkLcIyEJqHd7EP9goMGtwPoAc6Zyh1yjKBoi+O5Z3UWvA7yhcKk0qZ62BfQBRr4AWEiShCRIESMFNViDgiQGnwPEAUoGvqYfBLGUAQfgkZ/rtRt8Ch/FJwD+0DVOyty8RjoKyMlDHxgcMy7E8RO6BpZlYaKfzUwqiM4NjouwodCxDSOzBEjx6gOo8zmLFA18poKVRojJ4gYHY7Ry/VZXGocL/gfbjoHqsms8tGAOl7t0qJuwwzQHBCgFuAYzav0yOIJvo7+VbqOUFoFx0jVN7aNuBb5w7Q7cIxG/xeq0oSqAq0JDksoG5tNT0SQfk9Hu4we5DEk5Mn3DLZ30i8jggJ9sJ8F4oZjEPeMIbeIe1FQKMYA+0MGqAjb5T0HToz5Rbxwsf3MMQJHZzaQ+5b5ePLQAYqDwFLcZ76vbmxX3Ce5XFalYXxC8WdVGhAJRwFlg8dDxV/4GI0fWOS6KQSX/d0XqAxQysLgEV5ROK/5rE31DmrDuMb8/LOPERr8vYaUFkvFyDCmZHiSKu1dnclLY7OPERDVeDaEuo3XTeitlbjsz0WX6tNR/emYm+wtVqrSMNz1nBnNGxVYKw8ym2LyviYX0s9g+GmNN4V/H2N7jF+xr1we1w6dJceofkYfIxvc5n7wcxnI0guYyXzjxo2Dr+02FK4X2a5fv57uu+++9Fy3aWI0talNbWpTm9rd2C7Q4PHRRx9N99xzT/56/etff6GH+ju/8zvpDW94Q/rzf/7Pp+e6TROjC2z2CqJfjkJkc4WdEaDgN0DRRbQjzIAjdgJVGHyMiuoEr7dXx1MhRkR/7ONyzvnaqjRWxnLldrBqVl5RlaZjVTPiRcWJtmXFmJEbIEbggsxaeReBY7TpGYzJCtFIGSrcuk/zW+AyhHcMECOrVrDba11ED6Dv8DdGeEA1w1ItEC1WdH1KD6xOyP8hxwjHjWNkPIU5Rn34LQndYBcBvaDCJfrBHBD6u6AfiBgFUkIkgX2jYyWPauRNZB8jqdKgoDKKYPVK+DgFV8c+KrjW1c1GnlIjb4J8keWQLs03GTHCcYFHRASFztfiocizihyUWSAr85PguliF4+tHFc95xAgco5k5RoeIkSNBmoJj5PO8stwQnWKfogk5AzKCbn90/t6ozqUGIjqhfiDvxRwjOUATddjNYpxrv+h3nz+DbqvRVRzjikjfPKVLiB+xJ5ERybl8v4Q4UenYrSIYFfcO1HCK9QiO0EDEhzwe/F2xI4giiY0IwWMkSCCODjA1AsD3Y2zvg5d2abUb7yGp+oDiQLEJjlFclyqd7BbkXTFIWd45gRjFexi4imeBfYyALJlaA6THIbLgJOI1DKGeBRexQI/NTxs5RqFC5d+ASjYpraqWxzbbxjWO6Jnoc75uE8+FNRCj7GOE+y7GH9A43FPv7C6N/e9nlzg9dEzHs2Qn5Rn6E1zLcyGy83lLHp63w+eUuVX23ZJzP8/ZiBFQmCK0F33Dccb7IThzoZ7V9UOfC12OAa59+h4vY3gcCVJ4ruH1wVHSNcH10fgLlEvu7weqNDtfD6MS8wUYCfK2t72NiI6/Xvva1z7lPl/zmtekClzWZ/gCv6hsb3/727ms9sVf/MXkGT3XbeIYTW1qU5va1KY2tWdsV65c4dfv11796lenl7/85c/4GvCJ3N7xjnekP/En/kT61E/91PQDP/AD6fnQponRBTa6pj4Fx6hc30Z1OWc1DR+YscKjZwd9jIY0h5OufHOAtrDglY+RXY3dqCLBl51bJeRAowIOVfwcnAS9T+v0EZSKNf86nFz5Zm2z4BiBN8UtG03Y6jx2KS1reL304SRNVVoXlZy4N704IDiHxS14IHXYSGrMMZqf4xjNhrSq27SpIyuKaJlcblHVAk17YHGLShq8fpeC28SgU3kTNacoE1U16v08p9Z9OAt0ThwjcHOgSiMfS4ievXOAJiDD7CxzjMT5sD8VEKMmHKuDYzRWy0AxurO4vYYF+GSz1NwKtZ0VgtkHZdWlS/UuOGjiGNEHq1CUYNy4uibHYSb11mkgF0TESsQCr4ez92x0+R3EMQrEZWAlbTPkfA5WnVmVlhKdrXE85KsVHCNwNXBMjzThY8Sx1ocqjcgBXgdVGtSDQEjp5xP9Ct4PzomgRjUGCxsxyggBEaMubeh8ndJD69N0M90fzurK2wMPjKdOpCuQk9N+GVwtoAjbWfBbxAlCNQ/EB/cFeTLiGGGctuDoADHC9QAYOA80y55YgSJZlRZICO4LcN8EDDEklcfddGnTztNiw46IjMHtPB0j504ctbgtg3cjEWWMZapRh0NVa+YYQdWn0Fs18vHUZ+zvwlPK/jnOSvv/t/clsLqdVdlrf/MZ7tC58JcWaiRtHCiWuUQZGtCa1LEV04gQAkHBAVQKBiGiiBGijQUsidKKQlDBohhtaKxaQwo2SBPA2iAKrZZCob33nuGb9vDnedZa736/czvc3ntuzx3Wk5z2nu983x7e/e79vetZz3pWB9WFrEoDYwT3677sGU7kgc1lslzopcZtjvU8VodTecB8jMD4sLkw9oPov6zlvnJP+zxyxsjcn/EcmOG+ghYL1W3meu36J2W9ChkNSinHIrNd7fxyF2qnzDge9pDCPayMUc3rq+dp+8Y8tApePn+dxQVzhv/7sxJjYakiZ5hJjnhVmncgyDRG3I/5T/Fz9Jlrqyt5zHmvNHtm8O84PnPWP5HF12eccQZ/DgVgirAouvjii+X666+XTufYSGIdG0dxosCafR5Uro8byxYaeKjhQcoWC1aur40H9cvSS4m3iq9Z5mw37WJ6pG0JsvV+o9CbBnSaHtIO3LZg4ANSf2f7kiwb52LGJGC0VALaKGgqDeJrFajiwchu4lgsTUvS1PgcS8ntQY5z7a+X0plgYZSJr+081qolK7tHKq3ULx02m1UvfqSV2IizFjl7uF9TaZWmxZDuw3Zo+FY00htXmkLEe2wBsFiuj1WU2f5buT6E1m7wyPFmeg1tKZokwvXroekfpcSx7+W+im4pqDUhOLdDUzlrujqoefz99bakOKWD8IU1rNjc1RecOC42xc0WRt4QV9OGeDAXXET2NnQR0clTadb0El/8qfGmfbHvKpA31Ac3F7qcOJ6+0PQlF9+sJteUwWmDDe5L01T2xcZUh5brP6lrc91TH+nLMRNf+zVp2i8zF7ozNeWptBILo5meE8YQC4zNuRoaYmE82jTBddPOL6Rr/DxsoaypNG3WnMz7LJWGY+H+rEEzANE+hfQYt27D6+GtXXTsbdViX9pY3HORMtNxPHUInwgbaqvrxnGhIWwP896F1TNNp2KxxS7wHsCYgSnnJe4ha2bLy+bPD7e/gCEkFrKZ+JptVPw4fS1hBRs0GGWwoAtNT+GzXH+Kkn2RU4cb+kzAnLDNmrOD7OqjP46l/dlyROcFF51IpWFhVBy8MML7aZRpC14IrNXYVu9fXlMLjnCfwQTWn5NpsW/zib/7NcC1tLEr2KTWUmkulrYgyFN7qWm1p1+9GbLNGX7G5oWnkdmGJxdf+z1E2YO1z7FUWkpJZ4s5/6wuEK09ElO1WZHL4wFLzx7RT3N0Dg2Lohe84AVy7rnnsgrt/vvvl/vuu48/O41gjAKBQCAQOAGRa4SOZBtHAzfffDMF1/g555xzFv7W7LDbdjBG2wmnbsnuWETjolyLHkDh44eMihksEmA0QNwMLJK3z4GlcRt9R84YeYTbvtCKtBGRYx9M6zAFp1QuIy8KIhGiW1PETF/okYJHXb5PtusAuwKWZSpkEaSsKUakoHKC3zViYjmzRdc4194aWnmUIr1ahp1Shd0W/SG6VyaskaXuPAljwV54ebqLvs/qHVDDPKTS0ErE0zrGlnQ35mqHwFSa5wG9hFfTDKTSzRwOUSnPKWfomFopeQxLVkbftgRxWkCPgUJhG1sKwe060/TPjSHBkODUN3KzTWeMRPqjUvb0NjWyBunmqTQyhGYfgOMy8by3JMD4dzeUXXGxKfdnESuM+baW6+9GTpIbNGFsmlS5+LpN3QJnDNbI5Ln4mpEyoniyFtjmkjIi3orBUmmdTHzN48HnzfgQTUXBaMpDpNLA1pCNsUi8mMw4HmCMzh7tT4yXG6Si4Ws6b5tXm/WA7CuidFg3YMdJfA22DGyqia85XydoHFvqvdERWe0htanpD28Ymwu+MR7MtsDgsajlzOFaW8GDe6DR8QWTyRSy3VfVDFYLlkrz8nmwRzY2bP2DlGrv4FSaC5rRPgVsixddgNnjtbQmsu1Y2KU1k0oyRpZqQtqJrNUUJfu4xuvKwJJFVEYFYmh8Ke41NowmpkylmVksxNRVI9+ctboTTxv5saJAgEUNSL1jfI0pd/sRNW0UMq/9zfbYnb3Rgge7/4z91XPQ50zHbUHoEmr3ihVq8BkItjqzDlG2yvPh7fONn3FBtRefmPif8zp/f5Wl0sBI2fzT18xiI2sEntg0L9d/PFNpxzBe8YpXcAH0UD87jWCMAoFAIBA4EZEFV0e0jZMMwRhtM5wpgg4kRQpZkIA5CiE0BJeet2c0wkaImocmu2NI5eGuRdpq8OjNC/lmby+StQ2xqImmcU52uMjQBIuMPt3S3ttV4Hiy8n9GiFkE5HqbZtRLzVKhe3Gdix8ODpjiVUZwmo9Hmb3vD/98sFxOTAP+pi0vwBT1pBrqe50RGXVQRq2tRdYa9HxQIzweYx6JJQW6lvLnXaYpeWG7B2sZkrQh7fjoxVD7gGR0aaX/OoBZqbWZ2flJq12BnbOxeoz0jazxMcax0Wwy0zuQ0TBDTr3u+sdk0NkDY2QGj+x9AKPC7Jwt0mbZsFk9bJaD1EQVgnVtKNs+7cBgmApY55hd4wdKLcNmVGy6MFocUL/WNoVtL3Y7Ds42oY0HzBndtFSpORVmz9BI1uYzGTIb/65kmhJZ3B7YxlbLo5otb+LreizYHxwoR63w3jRzZE5UtqbCX9OyJMYt3QR6jzpzka6FlW/jLZvlsD3XdKO3x0E2ydi9Ym6Nb/H+iQrWyeBk7FrafzKIbO9rbwCcN+hlmxpr0kt2LGt6Op77hNB/qyVIe4zaskbnctNTywvojXisHEAzhTRGa8UKA9SCoJIpe1vo9upRV749X1Gmy9r9pOcGyFnSdO25JYNUDEXZSzYIqjvM7CUyPVfe4ojPJe7Yi1vaMTuoiXauO86eBxS6O8vcLLYw8WeyF3MkTZPrmPA/b17sbDTZ07bpsR8r2SPq8Zw9N8brcdUYRRPZw0EsjAKBQCAQCASOt4XRAw88IFdddRV9FPbu3cuuvOvr64/YuffhzKX+6q/+Kr3vof7+0Y9+9PAOEhENGYAi6UC44DZ2AP8HezGZ9RllqkmaRd8gItC6oNcwkmZkkkUqiMb03xlDBLi5WRbBVCjl7Xk1kEYvc0TnzNlbqSqiwkGXOgyaI1pEi4iMES3+7onWPHrFMaOZJNiHqivz3YMUUDRDraTC5ti2wj7DsvtBV5p+l7oRRNvYBg+/L/LAbMWuhcj6fCRrM/RFaWRtMpT5yuIUVXO5Qqp+QWNINDllAOtltqOuRW/tNWEE3WSWB24AiU2DnRkUjB797yx97kI3VSStlFbyQG9iDBXNDQtjOnQ8eI280sqtFQyQUblJHw3izGgTpdGI/jerYTIoxLbcsFJLra1NhJX8shUHIn5WJHa19QWNCnVO8Tzm9vmeyL7ZKLVwuL9aTWSRR8xezu3WCDrfRO6d7uG/11Enb8xLNdTIXNvNtEaQPDbuwyrajOEqlwrdZmHjlrGbkw1tHozX0ToDdgc8d6t6Stsd9LRKqBSZ1r0FzQ2OHWPDCi0b72qpkf3zJatENCbBz5P71qa0NfU++jqOAdshEzPvyFo5SlOfBqZ2X/ixf2uyzOvtn9s3X0oGiGpiadVjnAeqUcK9hmo8zN1kZ2Cl4V7FpSfQ4bzw+99bwTiTB80TbTHY1FeZPcwJXtamYNsRPnu6IpuTAY+LDX8HqoF0VhLPoGoZ1JDeV/OJ2UtgbuslTywdDSihkRxUsr9cStVd8119eXC2QquLatSRUR+iRjPWNMYK+8ccReug1Canq9YFqcEqnoewdsAcydhuXh8wds7sVG0bkQWtpRtkOrvOVi94DneT/tDvJ1atGSvOzzozaWwrNX6YG8aac364DwrZRX3dGXZW/qGE311P2Khbq4i9gjNVthqT9Lih3qafkwzHjcYIi6Kvf/3rVLLP53N55StfKa95zWvkIx/5yEO+H/bleH8OmEe9+93vlh/6oR9aeB3+CXkzOyy8AoFAIBA4nnEsV6UdyzguFkZ33nmn3HTTTXL77bfLM57xDL6GniqXXXYZ/Q+e+MQnHvSZbrcrZ5999sJrN954o1x55ZWyuqraiXwhtPW9hwVGNBrFuQlf0gBpKQ8ju/m8K6OBtj1Qu37NOyPqkdWa76G0xDxgPALViDBjh6z5rPp7tGaGYK1MFmFah1pm475WSXlUhQiyjyjSGswaY6TNE+08sM9kaNiyAPw8NEB1V2a78CYNh8BAeZSHc3TpCiLnatilGSTYmPU52iKYBqAncmA+SmaH6+VA1qdD1XGMB9JbsejahhCRLY9lWMgD5UqK6FRDgUgXkZ61cLCqFzB0eYUXKkbQFsEN8RDBK2NkrVLAGPV6vB7Uf3ilirMA3cyjx8z0MI7U6mSNLpOWAAzK0BqVlmAYWkYERod1ryNjmiqpSSQ1DnYBwWbx/2CAcCwwJbRqMLZMQZSN8/fx9P9D/7OkY7PGxqX6vvtLqyDyxrvcR3tN6QdlLM43JvresQuLcB4gUqyhcGdq587SITPaxGkggjZGFIwRK7PAtOE4MbH93DeV/QF7ASNE9/UCK+RQpgX7n5LpGFcDu5Z6X2CbvNdQ6Ta1bS9Xsm+6pFoa14M4E2rXhD5RU7tH2X7DWF6wCPNCNkoblKJRts6O02+yA5ORMUgFGd51aI567XtUWmONhK1tDfR8YNlSs1MvVkNLD+i3sD3TsECFyHvaWVp4H3nLDMxBjCkYo67It+arPEaQdRjPjYlpynCPTnqqNTPPKVax0rhSm8HOV8FOF7yvwKAVS6jCLKRcamSwz3RdbCCsrS7gzQQGkWxcIzLb3ZUD8yHnQTkq5JS+Vkka4cl7j+xUv5BynrEwvYKeTq7VYaseMm4toeIsHe9Nb9hqjbd9bqTqMrzuLUMSY6TtO8quaafwOxo6U2OkLW38XrDHs71HGVdU0IFFIhNsx8B9ux6s8ApC0/WZrxTZPfg9WdsSthax1j6q33zUb5LADuO4SKXddtttXLz4ogi49NJL6ZL52c9+9pC28bnPfU7uuOMOpuC24nWve52cfvrp8qxnPUs++MEPHhPlgoFAIBAIHBFCfH3iMkZwwjzzzDMXXuv1enLqqaceskvmn/zJn8iFF17Ifiw53vGOd8iLXvQiWV5elk996lPy8z//89Qu/eIv/uLDbms6nfLHceCAtkTwKMRbVNB3xjU9FskgKmX+etmqv+iCa+0hECmiTcO8KyAKcndW5t6zKooUVW2pkODbzfLfG4NS4wObf3OSJYwxQrsKr6AjQ2RMEStTTAfEaMj1DqaV8kqi2e5Oqnip+6rFwOcRxbu7OxgrVJfBu2bQn1JPkip6+iL7pqN0823MB6o9AKMx6Uu53I4BfmaNVrKASfGqKbb24D/wOqL+1vFZ9VVdl/Toa+apwyojuB/TAVujO84tVNZ04fNUqEOye8JQY1TLDONiDFLSGFlk6ZoJhxehUGO0zxyB3TkX24WWZACNkeqgvMmpulub15Jpkbi9njKK9BwqKlYVga1KjrpeDUPvHmWyNqYD6Rvr4GPGv1G7said0epFvYbf3FyFBEs2yqG2f+H4tp5W86k6j0+b+YLGiJWXZBebljHCOJteyvfV2TCGsacVSgOwZR3otrIWNRgDXFM6tRubZP5a7l6OqB0fcQPi7vJc1uZDdZO2xqvUzSSNkbBSjmNUeLPdQlk6VPOVBSv5HKzWsoayzgKujUcytHHD9TgwGyq70TX3cngV2XPA25SgLUnXGgmnNhV+SO7MDE0KGI1UkWX3XFZ1R2f4Uucn5vC++XKro6kLaoUwFTHHqklP/dGcMTO9C6tfpSPlkt77HNepjXtZSD2CLgo6wUKGxVxdy0th6w7MB29aPFstqAmk/9awoP8Txxv7IjtqekfodDiHbczBis4wWBnTTZ0ezYHS9XcWWx34rZ2Hh/O5xgjX2dhVdeg2lhfXve54T1f6xBWTtvI23aT+f2qxtPFwAx8sY/V5DObN5M9cPpLI7NbpnnYdEhlS0wzS0yx3sD/BW4KcCNhRxuhwuvAeDsbjMbVID8UW/cZv/IZccskl8vSnP12uvvpqedOb3kQd0iPhXe96l+zZsyf9QM8UCAQCgUDg+MeOMkaH2oUX+p9vfvObC6+XZclKtUPRBn3sYx+Tzc1NefnLX/6o7332s58tv/Vbv0VGaDjMSjMyvOUtb5E3vvGNC4wRFkcaBWYeGR5BeAWF6XSQv2Y1AxkBODxrpEKXajSNRV4++WdYIGNePSnP7VSE5dbdHdar29y7hFoHlIzM2qakGukggu5IZzBLGiPm+I3xUe2Hnh9z4l6BYdEc9SjQGK22uiVE9u6gTC+lzOcDFTFglOBCO4bGyJbkOC9oioY2TuNZX2ZTrcqTzW7LGGUaI2eMDlRLelxgAqxMRH2PVKej5VMNGTqSKua95M7YZC16ymTgeL0qDe7P0P0g2mNPLGvg6T29vGrP+4A5m+TVQw9ZlTa0BquIeKHt8b5MiPqXOtTxaFWa9r4je4G3OssCXRJuWDTinOdVacoY+b68egnsHH/vNTKe9NG7l9cTepSt3kDO5IDhoX+Lzbd9m0tyet3IpOorY9TodXSHbO1ZJ7LZqOGNXhc7Xz/+oeo8BoOSGppUeYVz2XD9nFZijqAJAgu3pSqNujFjjKANUo2R7hvbh5YD1Jb7By0vzWRjNlD2JfPdYhNP0/xh7kKTpEwfdGMFPaWo75kX1MHppNPjT583QLvTd8Zo3pFNzGn8zqa11pDX3MHhDs95MYQuyzyEsh6KqSrNw1Q8Q/DjPRC92s3vTev9h/HHcT84W9br5hqZSU+67qw+1so7Mic99bbSxtJaMTdf0YEGS0eNlrtWL2vjWwBaNnerRuNisGlg1VhluypSTYeCtoZkjPoQ0ikDx2nLyj+t/GRzXb9VsWk0f800RnRJZ1PZ9n4nYwTNpWkQiy0aI/oC4T6eF2RofB66pxDmBp7FLGSjJs2cxI0d8musDyp72RgjOnsb+0VfMHu28V4z4aXrhdAkmvSqH5f1o9TG4V6Vpp/LKzmPOoIxOv4WRofahfe5z32u7Nu3jzohdOEFbrnlFqnrmguZQ0mjXX755Ye0L+iQTjnllIddFAH420P9nTep3bie7sjpWi4+8MADTetpAnTvRqdvfpmp8Jdfgv7AMM42faF42arvE1/QW9NroML9yloqDWZ8XLT5m6wsFW0jKG5M5fq6qGK5vj1N9EHQpuac2kc6olxpzeNYDmytA+rsHGDwOB10pNuvaQDnpnM8nZ6menxhNEF5r1HsnQmofmvcaueu4mulu1EirYJfLY3FQwoPZ09zcSzwxQchZfYwwuKTneLRYb5bc/GROnnziwCpOP0ixkLIv4S1XN+b+lo6AF3nsS6A2BL7zFNpJhIG0NDUW37wyxcPbvsSxu+TlEqDI2drMIfz5KJ33jYmRarEm4AilYb0gFiT3dobX6KLvJX3l/Z+fCnATJOv21x0AbMvxLEI4HcKyqk3dXGA1Ocpg80kIseH2FAY34GVyAQDz0VaK4SHSamKr3UudEaN0DUhfZk10t+wNBcsKpBuM+F5SqXxAtqC25qDzhghWHsWK9dnqTQazlIVX8jupYk8uIFyfVtkeIqECxtdPWDudicoV0fvDhVfs3krxLSzgmJwvaft+LE/7MPGrhr39AvTuq1vIpjhAgYHpfc+5wqPU9u5oLs8TD49pfdQqTT+mwEM7mEzgc1Sab7ggqUARdRdFC8MW4ND7A+LIbtPcY6+IEwpPCxyepWl0pBuVIuEtDCCsBqr1EJT2sPOXFvqoMFvf8b54Is6LIyaaV9Wq0bK5UJ29yZJLM6UIooGKL7GHO60AmlcYjwHR96htW1SS6NYm6RuIZLE157qtwVQuqetDYg3nOV7WGquhRXplhygJYnZk3jLHit+0cH2kn79nJ9LMt3MzUB94csb3NJ0FoyyEbg9NxZTadmC7PFA1pLkiLZxkuG40BhBG4Ry+le/+tVy3XXXsVz/9a9/vbzsZS9LFWno1PviF79YPvShD1FE7UCDultvvVX+/u///qDtfvKTn5RvfOMb8pznPEdGoxGtAH7nd35HfvVXf/VxPb9AIBAIBLYbUa5/AlelAR/+8Iflggsu4OIHZfrPf/7z6UvkwGLprrvuYsosB6rM0Ln3JS95yUHb7Pf78r73vY+M1EUXXSQf+MAH5Pd///fl7W9/+2EdI0SOTuerGK9tJsuRthYQMHljmsuaYbJxpxnYsRmksQOtY1nb+mCrmWNqoGiUMl9jeq1NpcGk0A3anBVRMWkh/X7VtptgKarR9bnhnFHHXoLt4kaIUtENwFNpKHtnlAexYlaSjgiXxoD9DptKTme9ZCeA6Gw6tXJ6sOso4Z1oRNcdF1KuZM0bPZVmZeFrcyiasd2WnSFlbykHpiERoU6tIWvdsIQajFF3piXUiOYYzbpRJlNpYGKMMbKWIGAzwOSwwW23HWMv16fQ3q0XfD5krUTAGKWGlMYqMgAFY1QLGSPfD1gHtoUhW+I5RB0wNDr10nNNpaGfgjYcVW8GT6Vpw1uIbDGe3B8Yo1mbm6RwNDM+ZHSM62bzrdpQFmvCOvI2zeDia02lNbLpEbAZlvJ8LR3G/sBVR9kTEzlzX0hLbtp17TYsOOAYmw0E32P3CA04PZVGs8U2lUbhOdmcVsx8+tKGzGY9TRlZCjSV2/NEVDSP4+ecZ7m+sblgjEprq2Hpm1R2bU1FearjbhJbI0U0hWmrNVnNU15arq9zpj/Uhq2YJ5iHfh6cQy6cL4yxYarXGg4zRWvsEcYNDXDBRNjxr0P4bfebNni2Zw/m97hlkpL4umzI3uJeoo8lSOy61zJGlchgaOnRQmRUlGR/8Dk0TXbGCMcAxhipb29+DMZIGSFLK4EVAmOEeYznms9rZJNN/O5wg8xkeWGCdy86cbYrMUVsKmuPP5bDbxFfY7zAfHt7j6yhszbnbberz29ryjuErUIrIfBUmjfG9TmlGQFvWWQssO1fn+mYS8oyp37JXiQROKZxXDBGACrQHs7MEXjyk5/8kGX2YIDw81AAC5UbOwYCgUAgcMIgNEYnNmN0XMDE1xQRWn66VSBb7tt1JSYCRV4aGhyN8o0x8hJjK9d1I8SWfcqan+Yl+P5nlqKnCneNWNC+4aByfZGl4TwJNzWfr5Gbt7lwQWdqT+Lvgw6m6Ui52oqeoDFK+h7XWFmEq20XCkacKJ/3mUdh5rSlw8AcsIwa+p+JSL2cCTHYnFfL9bE9aiuo09KTcs2J6zL4GqJKiDwtOgfLgvEgY9RtON7OGEEc7WJTll3P1Uoh1xhRSG5RI7VUqVGkRsHe+kUHpD1uaClcY0Tdi/kHsAyaGqNe0hgh8nSDRy/XBwMEDHtV0lng2CASLwZw3jOdhDEL1FywvF+1WmREoEeZaasLbts0Ft4SxEXeLrzvbirTNq160rE56tYAGCPoZXA+E6MWF8XXxgyMrLScBo+2Dxuf/rq1xQCjgP2WqtMCm5O3DiELaOdE8bVpR5KxprVYcbb2rNGalNOeammsYShZHBNPYzzBdkIIzWOBAN91JJXZAswtZrQ2FLx21u6D9xi0OyYmB8MDs0JeK5iH5logiq9Br6DUfX5oGqOqPW5vkOutRig0xnMGhosmvl6fwrPA2B5M60l77/bGzmwYU2XNa6FVg7Ek6heUQesqA4i/l4WsLE3TdaLGiGMpvH+hv+IxzkXK1VrqaVcNKocie3qbrcEiNo3nDsbXjBUTo475BYNQey6mJrhgiHwcXFtpGiOeey6+3qIxWmgJ4rYV0J9lxrbdQZ0aVvM+NKbfrzX3aUacZJSsBZAetLOPmUWKM0EmlncdJgterGgD7JEbPD7+GqNme35OMsTCKBAIBAKBQMAQC6NtBJvBWjTC6i6WZOvfUjUXqpjQFsDZl36t+WiUg86EVVvJtDEvqbaopdiqMfLc+paqtLaJqjJGXlqd8ttWvrvUn2u05qXeZCP0PFJxkJ2DVxpRC2BmlfWKlrPz7/2sfUl2DtQYDbTx66hXsr0Ft23RmUxMA4TIEa1EzIAN0a4sWVhtZIO3BIFmAWaQfBHaFS/XR2WctzVB9IwKtKzBJJgPlppPEZmqvouVVGZlgLHANQDrx3L9otIyehwG3k/qoGXUWEZuVWks1/YdkcHKIt2hMUamzdA2Li2DBE1L0jIhSgXjZloqlvsaA4SqIBpusuWEVs+hhN/Lk3FOzj7yfHuVMkYcp5rGh8lQz0v8ncnBMYGpsGvYW9fHQ2JPqDHSiB5jhDEEy7ZBkZdplIwxgqkeS+FH0HQUqjHK2ABgsGYsCFqwoPILZe1erp8x+N4WpTtvUpNbNXhsaJrISjJUjNm9d9bwALUtrjFy1pMaIWMRwcj1plaZ2DdDUNOR4D4kq+kwpqPbb+d6b2ytWDA0845UpqVh+wctTKOOiOxAjfnUyDIYo4nqmZSZybwFFxgjZa1yU1XML2d7qZMDY2Rtbdh2I6tKA9OaqtLG/lmtMvVyfWjVKimoMcLnMOb4nB/LrsE0PWdGxZzPD8zNXf2JTEvTb0Hvs4rOvmhPAh2hyN4uhGOmFaKGrmP3BipjW40RGTVUTuZGtlsYIz53MK9NC0SmDPeLz1/26zbmFfPdGSPXKpFRb3VA+L03KK2JbPtsJtNvVW/USKJyjVVu3r7EmH43b/RHkplE8hbHNk0rSpbcNEZsvGtVx+1zQR4/hPP1ia0xCgQCgUAg8FiwHQubRk42BGO0ncgNyBAV5D5GiEbwU5kxm0UjiGJbH6O2YaPnsFMlmlVZuZcGQe1Lmz9PDI0Z5aWqtEJ9e9zg0U3GEAmBgeAxuimaMSH026HviRuatdtjBGVVaZ0VhK26X9XqmEYJzIMB+2djxr7IcnfG9iTJi6Rfk9FI0d4MkauODSLY4crsIB8jZ1Jg4scqJxixseqs1RjRA8bYAVbbWBsJHg8YI2h5rGKP2pBMfzXoWEsQaL68JYg1g6TGKKvao8aIUawxAcYEba1K64/QUsMiXm8fkPxX1DdH50CtppPuYwSDJ7wd0XajDJ+zVfAxQgsOmCeyGopRr1WlWTQONoQMAsa733DMEozRoumdR+7WHJQtNlDg2ShL4810EU2TReiWyhhVjUwWGCMNmakxAuBTA8aIFXKteR91SuvGovVqzolirkaI0Bi191TrjQRWAsaMPq6M3HE80DCZjgPbP2fwAHVlab571ZD3DLFWHdD7AF3obdwvx9gaGBOyTNm1KI3p/4wBBBOjLSzM/BNzGroZq1xrq9LYU4TntXs4IUu1oDFyxijzmyGjaHMqefkYI5g0Rmg1MTM/MeipXC8DZgvMj81DFIn5c8c1Rrhm0KpBr1ct6ftwjbE9P65TRuP0DBqZjxHGf6U7JYOo+i2RwerMmgk3nKt7yBhlOqG5XV+yMNbqxFgdjn9WTevMmO5X5xuvi40/WbbcCDPXGGXsW2LY/PnozWKhl+praxveJ8YCgUXzZwXHGMeKsXBmyJrEunYxsZCshvNKPsxBp6XNC40McSN9ZgHa+Qyvo8CxjWCMAoFAIBA4ERFVaYeFYIy2E4jmLKJxHyPPU4Nt8OoQagNMF9Tp16zw8YolWO4XD1GVphoj3Y3m/s3hmM0cU0cMfc0apHqEo1VpiwyGOx6vgjHK3HUZGZmeQStbWv8Ub/PgrS/w+9IKwlavbmo1RrK1JQgbSRaygpAZdvudxaopRneIEmdFiiQR7cLFWI9XI8DSWoLg2KmtMNaN42mVdhxz1/+gCg0FNkljpFWAnSkGvJFBr2y9cJwx6lbJuReaJGXmlPFLPkbGuHEfphlKLIH3+vVmp4XI0miWrjF1RamVgb7P/XmwH8yVtmJMWSrXDKFJJ3UT3nKiW8jyYCaFVcHonLN9mFO2VyZByzO2Br2cR7YP1YPo/CTTxyrIRnob+j40Au2aK7C2SWjIqvUmGsFv1OYCn/kusUEtWKGlktE0o2ZoeVwXgk0dULaRuhxoZsz52ivy9B5RfRoARgPNid0ZmuM5sHvHNThFIU/sPygd1xiB+TR/H9xrPExrfQLGi6wKKv2sElMrwuDn1FrN01eoVsYoNXJFxWRWlQZneVYtbqlKU8YCpkON7O5PpTtBBZxdU8wpf3SQYTbmwo4hd5tXfyQjjE2fBAaHrBWc4l3TRx+jVmPUG2uLGfUE0mopfA5MMdhX+GsljRHuE/ME2gunc3umjIoZqzhxfVa7U23KjDlfiexZGfP+xd/AGO3tbOp9b+xJF/czWDTT7VD/Z+2H+EzKGFZ9Tlr7FE5+XBw9b38+uK6K7/fPulbPNXOZxojsquuDQGD2VWOUHP3djdqZI3wGLCufl+Y3Zi2Ako+RXQcdb90Gr4fpisi2okeKeW95RiDh8dQYRVXaYSEWRtsI73+UyoPtJiL8iweUK+h0WzVAOOviPHR8R4rC+3i5wZt/UREmADxIfM1f7Djw8HC9rKWLsG238Sds8bDam6pQnOJbu+m9HN0rls3oLi2g7AsB6Z7TVjdakaz1LNO+Tu3xMF2FVFpPZKk71y+RtDCCENpuYBNrYnyY5ho3cvqKfTtbShGl45peaVQgi2cnytWtFxrLxbPxwsOOD/zsYaR9vnRhhEWpUuUaGeFcBp1SF5RzbX3Bh6Y9+CB8TQaYWOzZww9fzDTQczp9Szn26nCm488fLVP2BzrmCgXO+AKY1/wiSYsW9Nfil5leB/SiUnG5LvDwEF4ZzFhK7oaEnpbFAx9f5p5Kw8IAxocJ1rU8F1/7IgDn1t/QfZZo14GUon1pYK4MkEqbYMC3ptJ0oD1VzAWhia87fRW1871Yf69NtLwcwmns11JOSJflSKm0Eqk0s16wNBlME337/oV1bu9Bpne8v5dfix7E0/ZFiLmLhR2+XAd9XQjT+gJpOdw/WLybINe/FFE4kNKxWGyaMaR+plgwa03l+riONW7uRvYMxtKD6N9SaQeJr10knq5fZj3haR5fGOEL1w0qkTZMqTQXX5utwoamjDlnLDWOMUlFFyhucMNLLBTtuM4YrLfia6bSsM9GVnsTtdSwxRvuT9o2zGHi2Mhe5BizhRGPE4tFpMwtCPDgiqm7LKBjQYEFkKl03tL7AFsb5QaPC73SssAR52v79/vNgQUh54UXxmQtlnitKdDW3nB+P/nCUrdt//bgNKVq28/jOQr5gKby9BlDKxAP/k7CFhvHGyKVFggEAoHAiQgaWB3hSqw5+VZywRhtIxgNuDgwS6XxbxRf6+tgbzw9hYjeGSNEXWCMUvTo5fqpJYiXfyv9rSXLraDaoy9PpZFtQmm1mfGRwbBGi54KQvkt572ZoqVyfY/MMkMzlmCbdQA7kteFnLW03oqvEZHadj0dCOBTZIz6Bal4GlwaKYASaIpFnSqftaLM/mYtZ47WF8YYzS7RZBLGmNq5W1MhyWRyi8EjmQpsL+kiVQzZmdW8JizNZ8ftlm5HtKfia5Tno6hZS8MReTN95W0BTBDPyN9SbIxE3QzTHTaLRlYHU24DrIdHl3nzS6SrKASdV9qA0ucNGo9CQI7oGowRaQJjJDCuSE8iCkZU7gyHMw40hCxTKg3MDIwPE8HoolakmIwxpEDWyv4H6/pArFJaydg5CtTR3gKtKRqZmJqYbGLGGAG7RlOOD9gtCMFzg8div84dsj1kjLS1iafSyGaZ+JpjNasp+E9i+LqhaSJtFSyFhW0/sdfaU6Ty7rqQAeYJbgnaIRRkJPE754AxRtpqQ1N7epCtSBppV2cYmKLCPdCz6w9xPNKPSBnmjBGYmjkYyEb29sfSnZi1QmJ7tU0NGYWMBU6CfhNfpxRdLr6eGmNlQnN+tkaaT9vX4Hr0x8pW8RnStfsBKbGeptK6aBYri4wRtn16fz1LpcGYUufurs5EagjljTH6f8v7ef8y1TyqZG9npu1xTETtprVkYTCHvZAD85HM8KL4GueZN8xm495cfI3DtXvHx9GP2cdAGSO7H5Aa9kKQQm0IOL7O7hvTn/4PkT3SbZZKc+uBVOTi5frOdGWpNN63lsrDM4YWLJU+YxbMPKNc/5hHMEaBQCAQCJyIoD7oCBc29cm3MArGaBvhwkUv12c0ZKJI5rxNjMm2AFYij4iXpoEW5Y+6GgF7ZI33aUsQ0xhkkiLuM4tEWiYgFyha00mPoD1asTYjaPro7Uvc2JHia9PQcHvOKOEXN6q0MtonLu1LIsbE1mQNPQE0YsXfoEHa1Z2w9NyPr4foHrIE1xjNCi0xZkl0LU8Y7ddjsPu7FV83FJ3inIcDjeRpYmc6J8k0RtB7Jzt/nB7F16UyRtAYgcnInh+wTGB0PdOSeBdfU2NENqllxtAWhaXL1rRzoVzf9S1FI3sH0Aa5psj0I27yV1t5OEu7a0bYrjHqDitqjLyUendvnFg9XsZuIbsHE+o4aCiXGCOU4DcsTya7YQ1zqZ3x+eNtCljGruJyPx5cwz4YIzAN0NBwEjaMpvH5IRijccU2HpsQX5uVQ4GWC6bhwfmhRB1RO+YgRc4UXxsb8uD+JGqmCacZPKZS/1xjxKi8ycTXOr4wTaTGyMv1OyKndVasXYkxDFakwAa8vCA6d6mRAiMCvY2xnd7qwk1BtXGpaoyWevNWfL2ptg0+17uJMdJ7ObXEwPurivf/af016W6W2nKC175tMaLavoPF18m008rPeY/Q4BH7VL0XrRz8OVO1gmveBusqZHLTU7JTYIz6EzJGsJHA+6Dropje5uTpvbVFg0dqjGrev2rGqSzNuaMHyBhRgzQAY5Q978jy6fUlC2MaI22ebcyctQTRNxtjZG11OHbGdiXx9UITWZvKeFbM2+cjX7fPUSSeMTSrfTCYul8v1/diAM4haMkGYENbLVEScufl+v78dabOWEtnq/Fc4WdKNYVdMHjMNE+BYxPBGAUCgUAgcCIiyvUPC8EYbTO8lYbnp1NE4TlpRhGtTT3yz9QYUatiFQyMfJV5cI0RoyjXrUimM3LjQiv/T6Wr0FFYZVCKTrPycUQtOM5laAK8KWJWlcaAx83WUlVaxgyhCqvsyCl9uAB6e4+26sTPH5ih8Suja2tIaaXnZB7QJoFVeIWZSWr0CXSntZzeX2sN/7KKJVRroRUDPoQxdMbH9ShuV0D9ikpLpOkVUouxH7VqjHgYriEg0VdklWf2d4/qMaYMGVtWhQaPxnalcv2sCaYazxZyysCq65KZn2swTP+BRqhmS8CycDseVFI5E4mPgKnJGUFWpfVm2rTSYdoz7JfNXhH9IoqFuZ0xRqpPM4M7Z5+spQ2PG+zHWENjNynF62SzoI1DFIzmqIImskbpmKFk+kxTUMuStBzGqvm512OUT7VtKvi5nrX9sFJ1FnZBn2aGl2x4zDcqiwN2j4yNl0S7rs00WT7P+B67Z1z7A82STitryuytJzAGucbICDUyu15Rh892vSrNNEGogHT9HrRvHCOKmjj+0Od0ZtAzmW2AaQkx59rJkZlXWssJtvUxNiI3gWQlmOn5yKQkg1ezX4B9wAzzxxlgm891w+rQad1Luiuv+vPrvEJhXtamBH+DpquYS5E0Ro2cN/yWtV6pqSPqJx8OeySZngdsCqeoMy+wLGDlV6s39EdYqvji3MR1NcsTZ+St3U87Zu2zzdlvv7e1erGthExMTsb2JOsUM9R0TZAzdNrmxVvltNWffh/5tdTGscbMecWatzLJj/dx1Rhth85ITjrEwigQCAQCgUDAEAujbQT1QGCMzEsH8Kav0Gkoq2CmbPRMyczsrA3HRmktG8zWvpz1FnPtrluxyCjtx31vMgsYVo9Al4NqMqtS8QiQOopKGDUKovBkDmhh0BadBKNPfx36Hmyv7MhmhbYcqnlAZJ+bSDJya0TuH6+k39erUaqmc38fZXpgBKcaFDS3dcBYcHM+4GtoeAkjOrJKw0pNJFF5A8bIm6Dix/RciB4RwfO4SpH5SkfKukvWqR72yVTsn43SuFYj3e9GpfuDfgfjoy1IOox8981GrX7LInC8D9dzwY/F2Qlsd9allgvniGPR+aDeUYnlgDEcqv1GPfNOMj8hXGfTg+F8cTxkIfq1XrtCvZ1oqJhFv9gXfJ7ARrrxH81DbcxS1RsCaGy/7KixJPaDYxpCv2LRN+ZhrXourXRs2IC06XakHnR4TekBVGfMEBkZZegAXEMcD7ZPwz+M0eqKatZ8/JcHHFMYd7IKE9uYFryf5uOezFe6ZIx4jBaCo5UKtoH7SJk0qxKa6xjg0JxRGM/U3BKRPTRGOHZc+7WZG1Qqo8VhTZVQrdfNZtlvjVD5fmXZko6lLnivucEjmAeMQbG8xPGhXo3MozHBmFfDQtZtfnMO9PN72B4exjp6NVfOMFVLpg20xtHU8g3xbNEWJfWgq9Ws1qoIDWCV8atkoxyqfxbJIG0q7f5q95V7Elu3r14m24rrrQ8WY3YrkTN6BxaegfdWWlHZoPLU/M5wPdM1pYmsHicfPXPMIR0r11TyVOnd5BWFrd6Sw+G+Y2XbjBsNqtVYVz3SnAUng+ymqx1cQ7u37frhOVZirKwpNk/PG/cmzZKxJs4Ypfu8rTr2ql0+Hzv+nMIcKzhv1F+tUKYq0ygddURV2mEhNEaBQCAQCJyIgLnokebu6vAxChwBVG+CiM1eMCZAtQLmLs2GkBrZUBeQsyu1yIT20fYeeLrMNBJWxqiNyhmpeB5dsoaHmbdHA4fa2iMgaxRrbrHJP4fdYL2HhWmWrNoj6QvABoAxQnUboz0ILuD10pFxNVB/HzTGZTNWP/dWn7Rvc0kPuSdkmJJPC6qsULVkjBH9ZRBV+nKdzEstmxZtlstonQEGrZHBEigqjezoH2IR4UIjStMT4bgQ3c5XCpmBMarAGHU5DuvTYTpHtJ5AdI1roF5NwvPj8I402jswVcbI2xr4ebkGBp/31gvUbOE8yw79m8hgDG0+WNVWakiJMYCWZtjTdgLGvHF7dcd0ayKb9UCvXR/VYGDrVMPlkT4ZJouUwVS5RwurqgZtA1onI8gkgOmEXsvYEOqO4BLNMdXmmPCP8vPD+8gw9BHtF3pNM6bQ530XbI95b6F5LZqd4try/KBnWl5qWSiwE0v4Y8P3eQscNBRmyxYwRqsdjjPvDdOwjOfKgDhbm7fFUfbEz1NkCtfvwh2U9dixj42x37A655Qxah3fXWuCuefVm2ohrToe9znCvew+S2A1UGHKasKlERkqrXBURtNZCcyHjfkgVTpWA/gjZeOYtarxaq5Wc6eMmLasMDd6sLl9UCh6nGTFzGeHcwUMEaZPpyZ7os1yfd4aOykiX5/t1WfHUGRftSI1WFFs158HaNFTNXJGV/2OVAAk8n/lbn2GgAkyhghMYTlVtpDX3fV52J+9j/ota+7rztlJV2S+UKklkfuOOaPqjYZxbag7VMZSXfqdUtfxmOAaelcA01VWc6t0Texcq+VacMbGv/NGyAudDRb1oMl/rt+Rcdnn2PnYhvP1sY9gjAKBQCAQOBERVWmHhWCMthFsVmgao7YnmUUrrE5BNGg+HfBGITGgrIb6Y2hEw22ZdwkiINf4eLWRviHzKrIqs62MkZiLsUen2nPJKtesdxp1KjgW90uxiqm2qWX7b+otTGME7x9U7oxJEykDhcg+Vcn5cSEi39SIHJEaWA7vGQacOty0SLnQiifXuRi6UsvUGKMq0xgtDdVThnoJa4hFx133Y7KeRmCTeD2cMaq6/KmGHb5nc6KiH0TUOAaMFbUkZOxU08NIFtsoGrJXyUclaYysIatrD3oNWQmvysF12NPbpI8T9Wd4j7nxskjGmAFlOLqstErVO0n/odcex8PT7arGCJ8FC6aaCqeBLIKed9TF25hA+vBkPluAsx24lurerfMMFUbKcIIxcj2TaTqsOq/pd6jtWK+GqZ8Yz8m0aGQRLbwGW0N2AK7Adp3FGCPXB5Ur+GMtNdgF74+GbQxEOuOOzJdNy0WNke6LDIhtg01ZC5H1erLAGHlVGp3STWMERgXHjhdmk3bC4fjAZOQeVM6uzUplFpwxdAY4+YPVhbIa5nGFCii60C8po4aeY7pRq/Ckxkio8/E5D0f3xNRSq2WVW15klTNG1BhZ9Zk7sfcazjMyg8bKJG0itC+ofiwKOrpjntfoN+jb7is7CXxrtqosHhmj5aS5q8Rcts3x/YzOtPVPKxrVJpGBxHzWcyEDCFYGDJK7xuNvGLtMY8QxdQ2cM842l3hdvLoMGjVztVY/OGWFyeBA22TVfPy/MzzGDvGcEyNtzwvTGJE55e6MYc8qgBPMvV3ZpkW/NmrljKlSrZne07i+2kfSNhfO18c8YmG0jUC6jILFYSua9C9vLlys9DN18mYqrRVNI0U0nqtA1BtHorxa01tKD6cb0UR+W8XXeFAngFamKaLd+FtSaYWl0ijm5cW6WHsAACkxSURBVEYyMbBv3/aF406NOmHih1RaWWhTVzZctYWRNbVND6OmkGpT04N4uI2rfjLSw3tORbk/W56oSZ8LNjkmXIkpFY/Xq6U6daHfPZokITEFxnxSZ+Zutm+cKxc1laXi6i7THfWwwy/wGdI7Lv61jMqk7OmD2I4XwKIJ2xpP8S1t5floqGo0P+0X/EuUawgr5+XCqCN7u5s8Rxdfc8w53rYtiIGxcBp2tFzYy4PtS9E7fCNtRkPJfs1jwwOc4vpsIc7UAt6PDvPmz4AxW/aFkdtJ+MIM8wqLY6aGdA7AGBKf8zYNEF/zmngxgWCx1mEqiOlUW2BxUe3C96xZMpvXTvU68vywr+VhKsvHcZSjjppN2vs0HaeNabvjQubLJq7FodiURYNbXh+ksGzRt96oQR+v4VAbxeJLnF/OMD2kGaSmhpgumrYLI1+Ypy9/T1czlaY2AilVa2J/T7txgZ+l0pa6My7smtHAxNeaO6ftA758bcE9mff1+vKLVK8Bd+kd4LMUJY4P93NazIzqhRY+XAxhrlpnek2l2bMGonkbA4qvkcLD8yVbfLso+dvTFV0YDUT2V0t6X2L+8uLruGkqzVb6hq/PTzGTTF2Y8d7Ac2jasXSXLuJkUOs4YwE1gNGq5tZpW0HxtafSNJXJ62KLycJSaUwP4lhsvjOwYwBqURnGObMCwLGwUCFLpfnxeTpW53hrQOvXIRnAepNblxpkVgBcVGZpPz5T+gUF75oabgseAsc2IpUWCAQCgcCJiGgJclgIxmgbAdqbUSvEoobEwHiqxS3wzZTN2x8w6kOwbKk0tmeAKRrSYZ7WylJpjAjzqMYN8rJUWsdaGSyk0vwwaMqmwt1UmuxlqR6luQGimQCSaaqssSOPzcTixkBRFJmYg6w1yoaxDSZmTi0PROS0gTYSZeoBdDoiw8zADYxHhdQKov+lOqXS9liLDXHTNh9bL9knnW4NYRmNN2SMILxGWwkvv0faxscVpwL2AiXgzlxhfACwSYhM55OsCaul0ph9yMv1KVS3lghgd8pCGaMstcP0pYmCXZDKdOGgYCNhT6VpGkUF00x9Vj1tB9Gr9dhSKs3E0TbPyJLNzcySBwnGCGaLW20e+F81KSSbqXMAQm0tcS7IFJJ19KgYzAOOCeXd/YL2BmSc/JpZGTNaRZDdwPBA5IvyfYqvVZheL1n5O5g9MnoFmTB/H8XXYFwGNRvhVss6zrSKMEbS02Ne+IB/ryGFaqm0GkagPs5mbkkTxrIVE8vYxs7SLS5m1gFqhepI2y0yr+19q2J5Te04wwEzTjBG1TIOpJCBbdQNNbEBzAek6HzO41zrreLr5mHE18ASnCtbcTXuQWdIwRhpujD7uxmJgjHCPGfzW2MCWfJuk/jByZLOyVEjD85NfG02GjlDtlQo6+eH+/XZHr3n2Sja2C+wUjNNo5LR5bG1jBGYJTfPZKk/WUpjXL1Rq6W6SATBlLJuCwfIDPlj01JpqQVQLr7uNDKDXUHGqjO1Z02tvQjAn5du0JqLr1MjZPzu19635fYszuqZLQHmjSkOsnvu8UHT1Nvyc7IhGKNAIBAIBE5EqEjxyLdxkiEYo20EomlGWWCMkubDIhhG8o10IL5mG4Gs9N4jl9LaIQCIRsA8TAuWyLstfYo2MkYHACvBKNaEiUABrWcWASWbfmN4sF0wEDnL07b0ML2St+no1hQUU9A8qHkeiM4gFsf2oOmg9iiPtE0P3N1sc+9gmPJmtmf2D+iY9QsaNaYo07YB8TU1AJAyLZWmMUJTVjRTVUZDNUZtuT6OzYXIrjGihmWlobkjNEbQxvB8JrozCuFR2t20mgBEyWRjrA1KxxkmF7BDRGxsjjd95e8UX7eiZ1yHXZ2xbhOSjKQ5wzU1BtH0JTguMGCMLtnWw6aR6V7AEiH6R0NWjKULPT2o81YsPN55Ozb47EpX23OoNUSmd2AbFtN4WRS83EfXYWtC7Bojd3UgQ4My64IsA47DTQ45F0yLBrYn2QhA72SmfxSX47qgPN/LnNFId6lgCxSU6KuJn7JOaEyLRsNg/MC0ucbIDf28dYaLrzeannSnJsg1xojHNzXGyNrE6JjCRLJ9DLLkHZfYWZGsXB/6IWVt2nJ93pde2m8aI7JH1BhpuX41Ul0cNUYUVddpXDAfShhfWjsd6Gec9SVbYuPqYm08F9wUFuiN5hQjJ+2YMzEm0HdLAmcmtZwdBQslrQ46pkPkuRtLJ2ZLoRYStRwoRzYuMOyEdkafXRzvDBirb01XdUzNUoJzDdcejaOxfdNDgXmhqS3mxKC2OWGMFsYc9w8LPlxj1GqA8NmkU7T5zq40fIbaODnLZO1XXJ81BTuXMXLJHDMTXy+U65sI3p+53b4VJfChmzFG3r7FGC9qjHBP4x6BptGLLowdDRzbCMYoEAgEAoETEVzlBWP0WBGM0XYC5cWVRanNYjNI/z91HMyzW1XFlqo06hgsGkYEj0iLEf2Wcn3VAD1E3jpnkVCCDe1A1hJEthg8apVTm0T3qL8t17fzQCUPNUaN9AalNjctwQD1GFEhMi4skksRqFW39azPLCI1vt81RoW2FIBZnGqMQIWYXsAq26CFoD4Bf1+aS2Uao9OH66qXMY0RK0dMX+THyqgWFVKsYoHWo1ZzRzBGYJFgWAm2wKI4Vow1hcxRlu3tDKD5wiWwcv1ibCXb1jC11f8sluunxqRWobO3M9bKui1VaT4vqFHqu8Zovmjs55qHqh0/lLyjeo7l0Fau78yTG95RY4SGuMZcrfSmqV1FKte3yh5qzthOxZqIgjHq2DXoVUkr5LYAqYUEqqpKYx2zliA4n7wqzVkDXEe0JmGl25KNpd03aPmCpqZsAwIGAKzTtJHuoKLGqFzW7S605LBmr7imzoat1SPpzGsdg4GaSfL85q0hKBhW19+AoUq3sOlVUuPbdIMps5PMB71dhVdZWbk+LTvMCBDl+bgvyiVlD/qgf+xe5jW1cn3or8im4G9gJCxcBWuSV6X5cwHX250ZlkZzqxA19gOMEdgJzB+3vjA7Ci9nx3XFfQUbDIy1l6izssuu1/p4qPsY1rJWjpLxqt9/ykI9FGO0YnNeWTMtybf2MPjdqvjAvNAIFe8b1KkqzTVwrjFyxppWHGbwCLY0PVvNE0TL9e25ZjYHvGfAPKbyekn3dpo/NKc11jevBPVvRm+6baeKeyGxSf6c9LeaRonzw54p1BXCkiAv1388GSO4Vm/Hz0mGWBgFAoFAIBAIGGJhtJ2w6pTOsFx4zf0uEPWgmkhz4d7A03sYaPSBiAagdsEiINf4yILGaLElSIpwPadulSjUCZhnSssYIVLTSBdMAKPpLRojbSLbtpNAlM1qHvO4ge4Ex0aNUqeN7BPL4fuqC+lt2GtoEIqqKtMHAGd395t1fluV1jICaAIL1kw1RqtLUzI++OzpfTBGOoN7ZvCojIeOsVbYeUsQi+xWVKNUlWCMtCqsM9GI2Y05wXCwSsir0kzzpVVpDdtceCSLyJX6LbzFmR9Wq4GxaplCjO+uTqkaI/rqtIyZa4zcxBPHBf8bMnfeFsQZRVYRdvlZMkbWooKMoDeztOPAeIKtSC1BGmFbEtWitJGuzxHqPjKDx1UwRryOBdtHUMfkXi/WyJRVX301zXPdGM6bLVpw3SfmPYO5SMZIWUP6KeG4R60+iPocMEZ9eBC5oWkhvWkj/T4Yo0bqZWscnDXyZCsTMka4NzC2hRwAYwTNG/wiR6pdofeTMUaogOI4mG4LOqb2RlqsSiMTafMZTZldl6KMgt6jeZUWfHhUn1fLkIxRQ8YI55eq0oxx43WC5xnak5jeicaaWTuM5J9jrVho4JhpjFZH08RaUbPTazV1eBZopZkzk6anMSYWZo+4Jqn1DBkjHQM07eV1G1ayPh+qvogaI30GYd6me729XeXB8XLGGNXUa+GeoZ8TGDzMfeitoM8DY4TL08dY2TPT9D7qv5UZbFIDpG/BHEl6S2O4tbGwVd9lrZhQPevXlU25M42RPxM5L7wS1hl290Lym8dOFM++3IAzZ4xSRSLvSasIxj3iLJXfC2HweMwjNEaBQCAQCJyAaGoUgRzZSqw5Ccv1gzHaRkBfQA3O0KqKvOmrOyB7NG1RClkKRGqmN0DEy6oWAOwSWBoEhIjQ3MfI/W2oAWr37QEXXZ/9NWObGGF6VZpFY5CxkIEwJ2l+1uz3XZ9D1sr+TYbImp6O+iUjJ2wfviA4oO6sZmSfWoK4nX8jAnNrjk8PVSGqR2HEjqq0rrYEQWQJ/x5qsLKIroM6GDANXW04q006Gzmrvz/51ngDSkbUWVNZ17yoxqiR0cpMK0TIGOn7emALkvO1jh20JGQI0ADTqrGoVylMjwLdErRNiB6tYiY5jwPmEs4xtYa5ezsakaPKRxkM0954uxUwiqxKE42et2gmnTECc4M/g12jtsgYI6dQUlUaXMjBktjFxf92deEW7no2u+ZkplSDQkdoY5N29SfJN2fQK1VjZM2QcWCct/S2Ud8nZx3Jqtmc6RpjRPnXzDyJrLkq9DNgUrSJrEbR5ZLICPqjqb6P827cyHAwl/4mms6CKcic0TvaesKbhvp82KyH0jWN0cj8mDplo6xFR1j96FVpsoUxSs7XVqnJykUHqtIyZ3Uyus6+WTsIVkPhfHq1jIqSTCoqDakLK0rq6aBtc6a4hi8O3J+NvUrtUtz52jVLTmCwKq3VHe0djbkvZU/BllapmTOYU9e2uDO2s2ZgjNhk2LqU8FgyjVE96XG//WEp69bklo7OpjFShiwbG0qXGlmbqDYJ15oaPOjt4LvlLKAxbHh+uMYILJkzRq65Y4Wkk7Nk4EyXBcaIzvCtPo5O4taglueT6ZLAoPnYkZEFe+OeRTae9GDrLlaltRojrWzlKYIx6ikDyd+tSjfNHWM+uR8bJ3puWXuUNFRRlXbMIxZG2wjv+IyHcds7x/sDaeoGXz6eSsHD2qHpDdy41l2aCyN9mHvPr0WDx0WhNctx8UDBQ9KN9owmzw0evVcUUmn8osUN7Jk/FxmmVhWtOSC/NIu2lBsPJy6Mqi7Ftp1pzS+whd5B9oDqb5gRolnyk2q3Ut/Tu/YAQSqN/H9rue9mfBCIYrF0+mhThae1yFk9WxjhIW+pNKYKug2/XHwhqeJr/eLYuzLWVCVMArEwwpc4F0ZGeyPNhfEyewB2Bq/MQHDQ6IJy0go5h1m5Phc23pWlr4tI75WGcVotBrpNlo+rGFh5e21loqkdpD6EZd4plZbND3yGqcRSS965KDXa3nvypfRG3ywZsmu4mhZGWgqfp9L4BUXjRVsYccXYjq+n0jzVouX6Kib3xa4fAxfQSAtN2wUABK5cmPSwAJ5zzpQwu2SKRFNNWBSOenPpTc2Yj+X6tSxzYVTLcBnzy1NpPr426Lz3dCwpvp5igdDwsz7eKszVFjJsEWLXjV/aWcd0T7Ft7ZWGBYz3yHKDSQr9Kyvpx3z0UvaeptKQTixH2qKjbxvFfZ1sDDAfbL6lZ0dmSpjSqW6aal+6DvQaxD3vBo5M76JQgPesLpKYUjZRsor+YTZZSjPvMvBKz4isbQV60+H10XAum/OB2VcgU2sLo+qhxdeTcWvgikUa03tI6dqi2BdGmjZXK4t+v+RCTZ9jKhHwANIXJVwY2ZzFosqPgfPYe6KZRMGLEPR56BoDFWJTCJ2Lry3NqkOaWW5kWbTUFkZ0fqbz7Wy5R92M0xav/lzzfnCesvTH1eOCSKUdFiKVFggEAoHAiYg8wD1cNCffwigYo+0EBaCiUaq0KRovUcUEJVVuDAEFkz7n+FqtTRTZNqDWcn1LhzGaNyM83/Zi+w/9v6dw+Bo+K62YkIaQJuoExQ/WhoyPd1g3apjlqZZK86gVUbYa9zUs5UbkhH0ytUVRci1LFskRLp4EY7Ru9gU93Z+n0vD3UzrLSl8bk+BNdvUECho80iiw18hpw3UVONaNnNldS9tIpb5Wss+0n4mv+bqJr89Y1s8jqvdUmkfMZJ8QdSJapBhWI1CcH8DUlDNMFmmO+vO2lN4YO14DMFZOv9fKVgwL7eoNs8L8/cpymIAXVgVDkWXmDheN4DyVBsYMTCMofS/XB4OQxNfeVRwmnGCMLOdCFqgzbhlMZ0Qs6sbx0AzSmLY9qI+3liBIcXobCk9dcFdsCaIFA0WeSjMDRbA9EOs6I6UpCzU+xDaqkR2riYPR8gXCbF4TpJiQkhmXZCh765XsXjbGK2MUPRWkaWz920Y9lM4M4t5Gdg3hEGmpNOzfxddgCYylITmWmfaR5bD7KW8iy6bMyXJDUyxMp7kImOkdbcraYyptTiYVonKyQUbNMk1k0xPCY547Ui14D1I1VmKeUtut9pdzhPecvXb6YF2fE6WWwuP54s2ccR+kVhllW8zh4mu06sBU8/RREl+LpYwbfZZtzvqWStO0v6cZ81QaGj7TTHVsjDCIL0sL5mlUF6vj+eGptNGgpLVBel6S1dYvdGepXYwPLIG1wVTFnPMG2xyztlzfDXAxNnp8an9A8X5i5NRMk8fmbXKM1dFGtO0887/h+rTia7MnSYNgNiO4j40F5RxjqtSOyc02A8c0gjEKBAKBQOBEBFe6RyieboIxChwJaJMvGqUCHl15hA6NEa3ujc0xRoB6A0ZSWrrL6MYEvIieEZkh8lEbftfEWOTuwQ8ZCI0Yfd+uH0liQmONVHxtpoewrk+lyX6cJr72JrJgfaApMq0GSrlp0jc3toAao0qW+tpyImkyLNLqr+sOoKHB+8FU5Xl2z8WDSYCYNZXTUiiu4mtEXmcPD5j4WuQs6GVcYwQTSIveMY4UZ2YGjyzZbRp5wtIBii8R1SPn75ohj1RhzMlrkWuMvBUGGBjJNEaFmiC2wvlWfI1I2bU9Xq7P8+mK9GDlYGXFfu7KKMKQryaTtdydphYbDkbeYIyM4QOLQ7M6mAS66DcXdqKNRqYxwrZ2m8ZIHqJcH9uk8aHNsz3owWHHjCiZuhaMA7VyqpHBGLFJJq+pbSdnjMZlKtfHPHbWYBmtMjp1aqjrwul65IyR2i6oxqjkfOttzuWUpU3VoBhTmowyXZvCcn2R9WokxVQZo92DqdlT2P5NY9S2BFGROLdhLAMveWbw6CXYbLuzxXzQ25/wV8wBu264D8GC9CYVtVR4bWA9XvAZMmm4FCjUgHYJrCYZCRyoCeZ9m26aikuAcQMbYff9mYM11dTxuqp2BwJ/NwH15qWYC0nL5vfMrNDX/fFFU007LthYiD7LYARJxtk1RsmeYKvGSEQ2VQOIe3YAs0oUQ2AezjILkqqRpf6cLBnmDf6da4xc15Z0XxmbjYNikYbrLVE4QPE1tt3aYPh4KdNu7Cyum2uM/Bllz2I1PTWzy4MMHlvKDvPT2UXsd6vGiO/HM8y0RBx/zE0woKZf2tpK5WiigR3INvycbDhuFkbvfOc75XnPe54sLy/L3r17D+kzTdPI2972NnnCE54gS0tLcumll8qXv/zlhfc88MADctVVV8nu3bu53Ve96lWyvr5+lM4iEAgEAoHHCbQA34afo4TLL79czj33XBmNRvye/pmf+Rm59957Zadx3CyMZrOZXHHFFfJzP/dzh/yZ3/u935M//MM/lOuuu04++9nPysrKirz0pS+VyaStz8Wi6Etf+pLcfPPN8nd/93dy6623ymte85rDOkZtrqhRaiqtt5y5MzFgXtxwbiFHT1YJjJFVhUAvgHLyqUYlXnm1WJXW7tsZGDJGXpWmBTka7Xe2tASZaiULq9K8CWbWEoRMh0euVhUHxsRLuRE5Yfsof2fgNZ0zst9qmcGS3wPzpPUhw0SNUWbSh6ikq2Xq2Kdrp9h2wzRGeA0NZ5XhauSs7ihpjDBO3A6jeW1ImRo/skpMy3vPGT0oNca3VG2Mluu3rVbQPoL6Ahq+6TF541AwMKwqHJs2oWPRYyrXb3UqibXLyvUBtjUZqEaB15/l2BrpUpcBbcLANUZbNJM2ZyoygSh5L8me0VYAY+JRsbUmoXaFjFFrG7C3o9YIzhhRkoXKIjMDZRm7sZt7upvJAA8armQq6MaEMHhEY8++2hvwHC265jxBS5BxmVWlWWVSv2Z1HCqzvD1KYuxGlSz3pqp/Q3UlmIcx5tVUOusTOXO0rvPc54czBKTN9N5juX41kGKmWp3dfWilwHQq2+kaI/7byvVxj7Ul2KaFsXsCBqNp/K0UnNVWrJjKWAOfQxj/Rq0cRsVMOpOKGiMyp3ZBUQ3p4wKLC5TQa4WcsrHUMNl9muwv3L6C+hU/WKFthWqMVFuDliqNaYxwX3g1lFbAejk7KuTA+GqlYGqD4SaHOEbM80b4LJujya1Vpc0bvX/BfPEeTg8gYwvHypKDkQZ7hWtAjRFZQDVepQ6zh+a3+oyChgwVfP689IpcnqI/O9nmQ8/b7zuesz2vVJdl1Z5mf4H/+73IscPzrMw0RjxumxfdLOvUypl8mBOWu7MFjdtClsqvCxisVLqvFgl4frgGydnigMgLX/hC+cu//Eu566675OMf/7h85StfkZ/8yZ/c6cM6fjRGv/mbv8n/33DDDYfMFl1zzTXy1re+VX7kR36Er33oQx+Ss846Sz7xiU/Iy172Mrnzzjvlpptukttvv12e8Yxn8D3XXnutXHbZZfKe97xHnvjEJx7FMwoEAoFA4OiBqbAjrEprjqLG6A1veEP693nnnSdvfvOb5Ud/9EdlPp9Lvw+viZ3BccMYPVb8z//8j9x3331Mnzn27Nkjz372s+W2227j7/g/0me+KALw/k6nQ4bp4TCdTuXAgQMLP0kTUIqcMnBHQ2NyMo0RGqUyekE070yCt/egxsiai6IqDRqjmbI39BHKdXTMu2cVaObf0d/ymlrcW87cqtLoDTSDLkHbC+TRvrd1YDWVGTyKMVb694YeN6ggQ1QIzQ58kYpJqa0eFipVjG1aU70KNTRVZ0F34+eiGqOZMUb2MqrSWPGmjNH/6z+ozULRlqSA174bPC76GFH/ZNoQwL2dnjL8pjTYPxijAYwIjTFyHRXaRzAS1agSx8GqNFyPgeqG+H5jUlZ7U61yM8bHdwh/o9RE1qrSeD69RpaGqlHoPERVGpgImEyudKathsIlE+ZjhONhJU93Ts8rbz+wVWME0zy2+cg0Rrs6E9XLZBojjf61Ko3tV0yTsberfVywfezLtVTUYXQyjdGgoe+TGzwi0lcmTKSYqAaLzBQ1Pmhy2pARw5whk5I0Ro30RqWsdmc0dfRrVmxOOd+K9bE8YbQ/VXn6saVLb/5BuNc2azBGMMipZS8Zo9bg0X2WqP9Qb1Lur/UxUoNR14E4c6H3rN2b5mOE+w9eQe5jpOygHgfYEmiMwHih0pDzy6sWqRPSbdH7C3MBGhR4hPVmqa2Pj2Pe2BTXh/esze0zemvqKUZ9FViakpWP9Arqla2PEcbe2RGwgEVFbyky0o0yWNQY2UCgUg/7wLOMTW6tCXWdM8wHaYwa6RljBJ80Vm1a1Rfb08Bvyar4yLyYuSJYKdcY+fMS4+pmtKlC1uY4q1d9vF1riao+0wu5xsj1ZLphew7g3s6qeb1qjiySsfze9sbNdHODRzRiTl2cbB6lbZlGCefp1XvUUeGWt2vKqrTHUWN0rKfStspaPvzhD1Mys5OLouOKMXqswKIIAEOUA7/73/D/M888c+HvvV5PTj311PSeh8K73vWuxGDlqCcTKWF6uD7jv2t80U17Uk8aqSaF1OOplBtTqSYTqaZIQdRSbU5lPppJPYar80TqcUeqaVeazYmUnanU8wlvuHpjym1W6DQ/aaTg9nQ79bhOr3P7s0l6jdXmm1OpphOpJ/pgqDamUpY9KeeNCN4/1ZLmehPb6/L/5byQanMi9bQr1bTgdnGzl/OJTNfnMp/OdD/4TD2XsprLfMNem6B3laZTcN5lpefM91alPmixqJp25MBaxW3Wkw63y31OelIPSinnHdlcq+x8Kv6bx1bW/ByPeyb8HF5312+OgW3H/41tjddLjplMUKqs7+O+xw2PCe/jIm0Cd+wmXYdmOtD9oi+VjW096ep1xmcmOB91tS5wjp2plBBmcz7odcDx8vpt2nVEB3meC65fR6pJzX1huzhOnyM6vjjujh2jHrPvW49xKjXKpCcdkWnRfm6mx4jxqzqFrK/VOg/Gc6kmlc2Rws6/o9fYPoexxn58G+28KqUQu9acU400Y/xNuF8sZMpCrzeue7mh14l/nzXc9wTnZ3OS9w0/X3Pfs/W5XhOORSFlPdX911OdH5hH47kUky6PneOIL+yilrIspZrWfB/ej2vNuYF7a47x60k1kXTs+DfmfTnHtelKjfL2Qcn5geMVfMna/cq4BsUKaWx7+n+Z6ThNcQ1FaqQIZ3q/cAxt7uNLcm2ttjGZS8V5ofNBzwnH3uOx6fY76W+Yq3qt9f9YvGH/5bzU+2NjKg3ncaXXkM+FOj1r+DrmJ667PXd4L/F5grSPpHnJa2Hpe/xwnnF7uoDgtZtiPNFrbZLuw7LEfab769g+On4ss54U2A/u0b7eDzOcJ//W4TmPh7rdGouJ/Dz82WX3M8aIc5rHbs8+/G1sxoqYR5ijuIel5thwO5MO7816jEVeY5/pSE0HcIwF0tg4hqp9DvJ62vYnfc619Gwv9PXOtK/PjWmf41vjvrLnXIHXcH/wHptIM4bl90wqPHePMhPjKDGJm23YhkgiABzD4ZA/R4qrr75a3vve98rm5qY85znPoaRlx9HsIK6++urUIvHhfu68886Fz1x//fXNnj17HnXbn/70p/n5e++9d+H1K664ornyyiv573e+853NU5/61IM+e8YZZzTvf//7H3bbk8mk2b9/f/r5j//4j0c9j/iJn/iJn/iJH/+55557mqOF8XjcnH322dt2rKurqwe99va3v31bvtfvv//+5q677mo+9alPNZdccklz2WWXNXVdNzuJHWWMfuVXfkVe8YpXPOJ7zj///MPa9tlnn83/f+Mb36Da3YHfL7roovSeb37zmwufQ9QJSs8//1DYulJeXV2Ve+65R3bt2iUFa1aPLWCl/6QnPYnHiOq7wKEjxu7wEWN3ZIjxOzHHDkzR2traUdWwosoLchIULW3XMRdbvtseji16rN/rp59+On+e+tSnyoUXXsjr9pnPfEae+9znyk5hRxdGZ5xxBn+OBp7ylKdwcfOP//iPaSGEmwXaIa9sw8Dv27dPPve5z8nFF1/M12655Rap65papEMFNEnnnHOOHOvAA+JYe0gcL4ixO3zE2B0ZYvxOvLGD3vVoA4sj/BxP3+s18rqm491JHDfi67vvvlvuuOMO/r+qKv4bP7nn0AUXXCA33ngj/43V7S//8i/Lb//2b8vf/u3fyhe+8AV5+ctfzlU6VO8AVqc/+IM/KK9+9avl3/7t3+TTn/60vP71r2fFWlSkBQKBQCBwdACSAtoifI9/7WtfIynx0z/90/Id3/EdO8oWHVfiaxg1/umf/mn6/elPfzr//0//9E/yghe8gP+GF8L+/fvTe970pjfJxsYGfYnADD3/+c9neX6+ioYKHouhF7/4xWR+fuInfoLeR4FAIBAIBI4OYNb813/91/L2t7+d39OQvICogMXOdoi6jwQFhEY7egSBow7Qkqike8tb3rLjE+54Q4zd4SPG7sgQ43f4iLELHAliYRQIBAKBQCBwvGmMAoFAIBAIBI42YmEUCAQCgUAgYIiFUSAQCAQCgYAhFkaBQCAQCAQChlgYncRVGzC+hN8TfCQCj4yvfvWr8qpXvYrGoUtLS/TaQJnpdjnLnoh43/veJ09+8pNpjwHDVHiFBR4ZqKR65jOfSRd99HGE5xpsSAKPHb/7u7+b/OwCgceCWBidpIDHU5hYHjr+8z//k66sH/jAB+RLX/qS/MEf/IFcd9118uu//us7fWjHJP7iL/5C3vjGN3Lx+O///u/ytKc9TV760pce1IInsIh/+Zd/kde97nVsiXDzzTfLfD6Xl7zkJfR5CRw6br/9dt6r3/u937vThxI4DhHl+ich/uEf/oFfWh//+Mflu77ru+Tzn/98apsSOHS8+93vlj/6oz+S//7v/97pQznmAIYIzAecbQEsKtED6Rd+4RfkzW9+804f3nGD+++/n8wRFkzf//3fv9OHc1wA3RC+7/u+T97//vez8wGebddcc81OH1bgOEIwRicZ0EQXLVD+7M/+jM6jgcMHXNZPPfXUnT6MYw5IL6L/4KWXXppeg6s8fr/tttt29NiON7iTf8yzQwcYtx/+4R9emH+BwAnZEiRw5AA5iK7Hr33ta+UZz3gGdTOBw8N//dd/ybXXXivvec97dvpQjjl861vfYj/Ds846a+F1/I6UZODQAJYN+phLLrlEvvu7v3unD+e4wEc/+lGmbpFKCwQOF8EYnQBAagIiw0f6wRcSvsjX1tZokx94bGOX4//+7//Y0+eKK64g+xYIHC3m44tf/CK/7AOPjnvuuUd+6Zd+if0vd6KrfODEQWiMThAdwre//e1HfM/5558vV155pXzyk5/kl70DkX2325WrrrpqoUnvyYJDHbvBYMB/33vvvWxa/JznPEduuOEGpogCB6fSkKb92Mc+xqoqx8/+7M+ymfPf/M3f7OjxHQ9AY2uM06233spKyMCj4xOf+IT82I/9GJ9n+fMNzzvcp6jEzf8WCDwcYmF0EuHuu++WAwcOpN/xJY9KIXyBQSx7zjnn7OjxHesAU/TCF75QLr74YvnzP//zeMg+AjCfnvWsZ5Gl9LTQueeeyy/8EF8/PPA4hkD9xhtvlH/+53+W7/zO79zpQzpuADb8a1/72sJrr3zlK+WCCy6Qq6++OtKRgUNGaIxOIuCLKcfq6ir/D0+eWBQ9+qIITNF5551HXRGYJsfZZ5+9o8d2LAJVj2CIoGXDAglVQSg5xxdV4JHTZx/5yEfIFsHL6L777uPre/bsoX9W4OGB8dq6+FlZWZHTTjstFkWBx4RYGAUChwB4ykBwjZ+ti8ggXQ/GT/3UT3Hx+La3vY1f7iiZvummmw4SZAcWAfsHAIvwHNdffz0LJwKBwNFHpNICgUAgEAgEDKEcDQQCgUAgEDDEwigQCAQCgUDAEAujQCAQCAQCAUMsjAKBQCAQCAQMsTAKBAKBQCAQMMTCKBAIBAKBQMAQC6NAIBAIBAIBQyyMAoFAIBAIBAyxMAoEAoFAIBAwxMIoEAgcVVx44YXyx3/8xzt9GIFAIHBIiIVRIBA4ahiPx/LlL39Znva0p+30oQQCgcAhIRZGgUDgqOGLX/wim+xGd/NAIHC8IBZGgUBg23HHHXfIi170Inn+858vdV3LueeeK9dcc81OH1YgEAg8KnqP/pZAIBA4dHzlK1+RH/iBH5Bf+7Vfk9NOO40Lo2c+85nyhje8QV7wghfIRRddtNOHGAgEAg+LYIwCgcC24rWvfa38+I//uLz1rW+Vu+++Wy655BJ505veJLt375Z//dd/3enDCwQCgUdELIwCgcC24b777pNbbrmFi6OqquQLX/gCGaJOpyPdblcGg8FOH2IgEAg8ImJhFAgEtg2f+cxnmDrDYuiuu+5iVRr+/dWvflUefPBBed7znrfThxgIBAKPiFgYBQKBbcNsNuP/J5OJfP7zn5fzzjtPTj31VLnuuutYmfY93/M9O32IgUAg8IgI8XUgENg2PPe5z5VeryfveMc7ZH19Xc4//3x573vfK9dee63ceuutO314gUAg8KiIhVEgENg2POlJT5IPfvCDcvXVV8vXv/51LpI2NzflpptukosvvninDy8QCAQeFUUD97VAIBDYZiCFdsMNN8jll1++04cSCAQCh4zQGAUCgW3H//7v/1JsHY7XgUDgeEMsjAKBwLYDZforKyvylKc8ZacPJRAIBB4TIpUWCAQCgUAgYAjGKBAIBAKBQMAQC6NAIBAIBAIBQyyMAoFAIBAIBAyxMAoEAoFAIBAwxMIoEAgEAoFAwBALo0AgEAgEAgFDLIwCgUAgEAgEDLEwCgQCgUAgEDDEwigQCAQCgUDAEAujQCAQCAQCAUMsjAKBQCAQCARE8f8BwYOhhrHsgHgAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = ax.pcolormesh(X.T, Y.T, (spectra - model.evaluate(x=X + dX, y=Y)).T, vmin=-3, vmax=3)\n", "ax.set(xlabel='$\\phi$', ylabel='$t$', title='Model of Synthetic Spectra');\n", "cbar = plt.colorbar(im, ax=ax)\n", "cbar.set_label(\"$y$\")" ] }, { "cell_type": "markdown", "id": "80eee838-2986-4545-b831-f6ddc02cea98", "metadata": {}, "source": [ "To sum up, the gradients of models are available in `lamatrix` in order to enable users to, for example, fit small shifts in models as a function of other dimensions, and to better understand where the rate of change of the best fit model is highest." ] } ], "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": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }