From b6c9a750ab39fd2d353ef7e7a7a08d3af8c74e5a Mon Sep 17 00:00:00 2001 From: Gilles Louppe Date: Mon, 23 Sep 2024 10:17:30 +0200 Subject: [PATCH] save --- nb01-box-loop.ipynb | 419 +++----------------------------------------- 1 file changed, 23 insertions(+), 396 deletions(-) diff --git a/nb01-box-loop.ipynb b/nb01-box-loop.ipynb index f55f35b..e57959d 100755 --- a/nb01-box-loop.ipynb +++ b/nb01-box-loop.ipynb @@ -25,149 +25,46 @@ }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 1, "metadata": { "tags": [] }, "outputs": [], "source": [ - "# Generative model\n", - "import numpy as np\n", - "\n", - "def simulate(v, alpha, dt=0.001, G=9.81):\n", - " v_x = v * np.cos(alpha) # x velocity m/s\n", - " v_y = v * np.sin(alpha) # y velocity m/s\n", - " \n", - " x = 0.0 # initial position\n", - " y = 1.5 # initial height\n", - " # y = y + np.random.randn() * 0.1\n", - " trajectory = [(x, y)]\n", - "\n", - " while y > 0: # simulate until ball hits floor\n", - " v_y += dt * -G # acceleration due to gravity\n", - " x += dt * v_x\n", - " y += dt * v_y\n", - " trajectory.append((x, y))\n", - " \n", - " return np.array(trajectory)" - ] - }, - { - "cell_type": "code", - "execution_count": 91, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "import matplotlib.pyplot as plt\n", - "\n", - "v = 5.0\n", - "alpha = np.pi / 4.0\n", - "\n", - "trajectory = simulate(v, alpha)\n", - "plt.plot(trajectory[:, 0], trajectory[:, 1])\n", - "plt.show()" + "# Generative model\n" ] }, { "cell_type": "code", - "execution_count": 92, + "execution_count": 2, "metadata": { "tags": [] }, "outputs": [], "source": [ - "# Probabilistic model\n", - "from scipy.stats import norm, uniform\n", - "\n", - " # observational model\n", - "def likelihood(v, alpha): \n", - " trajectory = simulate(v, alpha)\n", - " x = trajectory[-1, 0]\n", - " return norm(loc=x, scale=0.5)\n", - "\n", - "# prior model \n", - "p_v = uniform(0., 10.0) # start with [0,1] and discuss\n", - "p_alpha = uniform(0., np.pi / 2) # start with [-pi;pi]" + "# Probabilistic model\n" ] }, { "cell_type": "code", - "execution_count": 93, + "execution_count": 3, "metadata": { "tags": [] }, - "outputs": [ - { - "data": { - "image/png": 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", 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" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "# p(x | v, alpha)\n", - "v = 5.0\n", - "alpha = np.pi / 4.0\n", - "\n", - "trajectory = simulate(v, alpha)\n", - "plt.plot(trajectory[:, 0], trajectory[:, 1])\n", - "\n", - "lk = likelihood(v, alpha)\n", - "xs = lk.rvs(10000)\n", - "plt.hist(xs, density=True, bins=30)\n", - "\n", - "plt.show()" + "# p(x | v, alpha)\n" ] }, { "cell_type": "code", - "execution_count": 94, + "execution_count": 4, "metadata": { "tags": [] }, - "outputs": [ - { - "data": { - "image/png": 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- "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "# p(x)\n", - "xs = []\n", - "\n", - "for i in range(1000):\n", - " v = p_v.rvs()\n", - " alpha = p_alpha.rvs()\n", - " trajectory = simulate(v, alpha)\n", - " plt.plot(trajectory[:, 0], trajectory[:, 1], color=\"b\", alpha=0.05)\n", - " x = likelihood(v, alpha).rvs()\n", - " xs.append(x)\n", - " \n", - "plt.hist(xs, density=True, bins=30, color=\"orange\")\n", - "plt.show()" + "# p(x)\n" ] }, { @@ -184,40 +81,7 @@ "tags": [] }, "outputs": [], - "source": [ - "v_true = 5.0\n", - "alpha_true = np.pi / 4\n", - "x_obs = likelihood(v_true, alpha_true).rvs()" - ] - }, - { - "cell_type": "code", - "execution_count": 96, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "trajectory = simulate(v_true, alpha_true)\n", - "plt.plot(trajectory[:, 0], trajectory[:, 1])\n", - "\n", - "lk = likelihood(v_true, alpha_true)\n", - "xs = lk.rvs(10000)\n", - "plt.hist(xs, density=True, bins=30)\n", - "plt.scatter([x_obs], [0.])\n", - "plt.show()" - ] + "source": [] }, { "cell_type": "markdown", @@ -228,176 +92,24 @@ }, { "cell_type": "code", - "execution_count": 97, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "text/plain": [ - " message: Optimization terminated successfully.\n", - " success: True\n", - " status: 0\n", - " fun: 0.22579135264472816\n", - " x: [ 6.878e+00 -1.522e-01]\n", - " nit: 7\n", - " jac: [-2.980e-08 -2.980e-08]\n", - " hess_inv: [[ 1.194e+00 -2.606e-02]\n", - " [-2.606e-02 7.741e-02]]\n", - " nfev: 24\n", - " njev: 8" - ] - }, - "execution_count": 97, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "# Point-valued estimate\n", - "from scipy.optimize import minimize\n", - "\n", - "def log_likelihood(theta, x):\n", - " v, alpha = theta\n", - " lk = likelihood(v, alpha)\n", - " return lk.logpdf(x)\n", - "\n", - "nll = lambda *args: -log_likelihood(*args)\n", - "initial = np.array([p_v.rvs(), p_alpha.rvs()])\n", - "soln = minimize(nll, initial, args=(x_obs,))\n", - "soln" - ] - }, - { - "cell_type": "code", - "execution_count": 98, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "v_sol, alpha_sol = soln.x\n", - "\n", - "trajectory = simulate(v_sol, alpha_sol)\n", - "plt.plot(trajectory[:, 0], trajectory[:, 1])\n", - "plt.scatter([x_obs], [0.])\n", - "\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 99, + "execution_count": 5, "metadata": { "tags": [] }, "outputs": [], "source": [ - "# Uncertainty estimation\n", - "def log_prior(theta):\n", - " v, alpha = theta\n", - " return p_v.logpdf(v) + p_alpha.logpdf(alpha) \n", - " \n", - "def log_posterior(theta, x):\n", - " lp = log_prior(theta)\n", - " if not np.isfinite(lp):\n", - " return -np.inf\n", - " return lp + log_likelihood(theta, x)" + "# Point-valued estimate\n" ] }, { "cell_type": "code", - "execution_count": 100, + "execution_count": 6, "metadata": { "tags": [] }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "100%|██████████| 10000/10000 [01:32<00:00, 108.10it/s]\n" - ] - } - ], - "source": [ - "import emcee\n", - "\n", - "pos = soln.x + 0.1 * np.random.randn(10, 2)\n", - "nwalkers, ndim = pos.shape\n", - "\n", - "sampler = emcee.EnsembleSampler(nwalkers, ndim, log_posterior, args=(x_obs,))\n", - "sampler.run_mcmc(pos, 10000, progress=True);" - ] - }, - { - "cell_type": "code", - "execution_count": 101, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "fig, axes = plt.subplots(2, figsize=(10, 7), sharex=True)\n", - "samples = sampler.get_chain()\n", - "labels = [\"v\", \"alpha\"]\n", - "\n", - "for i in range(ndim):\n", - " ax = axes[i]\n", - " ax.plot(samples[:, :, i], \"k\", alpha=0.3)\n", - " ax.set_xlim(0, len(samples))\n", - " ax.set_ylabel(labels[i])\n", - " ax.yaxis.set_label_coords(-0.1, 0.5)\n", - "\n", - "axes[-1].set_xlabel(\"step number\")\n", - "plt.show()" - ] - }, - { - "cell_type": "code", - "execution_count": 102, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "import corner\n", - "thetas = sampler.get_chain(flat=True)\n", - "fig = corner.corner(thetas, labels=labels, truths=[v_true, alpha_true])" + "# Uncertainty estimation\n" ] }, { @@ -409,110 +121,25 @@ }, { "cell_type": "code", - "execution_count": 104, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "ename": "AutocorrError", - "evalue": "The chain is shorter than 50 times the integrated autocorrelation time for 1 parameter(s). Use this estimate with caution and run a longer chain!\nN/50 = 200;\ntau: [166.32613135 200.24747429]", - "output_type": "error", - "traceback": [ - "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", - "\u001b[0;31mAutocorrError\u001b[0m Traceback (most recent call last)", - "Cell \u001b[0;32mIn[104], line 2\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[38;5;66;03m# Computational diagnostics \u001b[39;00m\n\u001b[0;32m----> 2\u001b[0m tau \u001b[38;5;241m=\u001b[39m \u001b[43msampler\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mget_autocorr_time\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 3\u001b[0m \u001b[38;5;28mprint\u001b[39m(tau)\n", - "File \u001b[0;32m~/anaconda3/envs/dats0001/lib/python3.9/site-packages/emcee/ensemble.py:605\u001b[0m, in \u001b[0;36mEnsembleSampler.get_autocorr_time\u001b[0;34m(self, **kwargs)\u001b[0m\n\u001b[1;32m 604\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mget_autocorr_time\u001b[39m(\u001b[38;5;28mself\u001b[39m, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs):\n\u001b[0;32m--> 605\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mbackend\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mget_autocorr_time\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", - "File \u001b[0;32m~/anaconda3/envs/dats0001/lib/python3.9/site-packages/emcee/backends/backend.py:150\u001b[0m, in \u001b[0;36mBackend.get_autocorr_time\u001b[0;34m(self, discard, thin, **kwargs)\u001b[0m\n\u001b[1;32m 131\u001b[0m \u001b[38;5;250m\u001b[39m\u001b[38;5;124;03m\"\"\"Compute an estimate of the autocorrelation time for each parameter\u001b[39;00m\n\u001b[1;32m 132\u001b[0m \n\u001b[1;32m 133\u001b[0m \u001b[38;5;124;03mArgs:\u001b[39;00m\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 147\u001b[0m \n\u001b[1;32m 148\u001b[0m \u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 149\u001b[0m x \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mget_chain(discard\u001b[38;5;241m=\u001b[39mdiscard, thin\u001b[38;5;241m=\u001b[39mthin)\n\u001b[0;32m--> 150\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m thin \u001b[38;5;241m*\u001b[39m \u001b[43mautocorr\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mintegrated_time\u001b[49m\u001b[43m(\u001b[49m\u001b[43mx\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", - "File \u001b[0;32m~/anaconda3/envs/dats0001/lib/python3.9/site-packages/emcee/autocorr.py:112\u001b[0m, in \u001b[0;36mintegrated_time\u001b[0;34m(x, c, tol, quiet)\u001b[0m\n\u001b[1;32m 110\u001b[0m msg \u001b[38;5;241m+\u001b[39m\u001b[38;5;241m=\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mN/\u001b[39m\u001b[38;5;132;01m{0}\u001b[39;00m\u001b[38;5;124m = \u001b[39m\u001b[38;5;132;01m{1:.0f}\u001b[39;00m\u001b[38;5;124m;\u001b[39m\u001b[38;5;130;01m\\n\u001b[39;00m\u001b[38;5;124mtau: \u001b[39m\u001b[38;5;132;01m{2}\u001b[39;00m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;241m.\u001b[39mformat(tol, n_t \u001b[38;5;241m/\u001b[39m tol, tau_est)\n\u001b[1;32m 111\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m quiet:\n\u001b[0;32m--> 112\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m AutocorrError(tau_est, msg)\n\u001b[1;32m 113\u001b[0m logger\u001b[38;5;241m.\u001b[39mwarning(msg)\n\u001b[1;32m 115\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m tau_est\n", - "\u001b[0;31mAutocorrError\u001b[0m: The chain is shorter than 50 times the integrated autocorrelation time for 1 parameter(s). Use this estimate with caution and run a longer chain!\nN/50 = 200;\ntau: [166.32613135 200.24747429]" - ] - } - ], - "source": [ - "# Computational diagnostics \n", - "tau = sampler.get_autocorr_time()\n", - "print(tau)" - ] - }, - { - "cell_type": "code", - "execution_count": 107, + "execution_count": 7, "metadata": { "tags": [] }, - "outputs": [ - { - "data": { - "text/plain": [ - "(4900, 2)" - ] - }, - "execution_count": 107, - "metadata": {}, - "output_type": "execute_result" - } - ], - "source": [ - "thetas = sampler.get_chain(flat=True, discard=200, thin=20)\n", - "thetas.shape" - ] - }, - { - "cell_type": "code", - "execution_count": 108, - "metadata": { - "tags": [] - }, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ - "fig = corner.corner(thetas, labels=labels, truths=[v_true, alpha_true])" + "# Computational diagnostics \n" ] }, { "cell_type": "code", - "execution_count": 109, + "execution_count": 8, "metadata": { "tags": [] }, - "outputs": [ - { - "data": { - "image/png": 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ASafWgRYjGY50vtJCaSLW17sjp49I56zgVWt1T7QTnC3w45w0FkSgCmBx7kBIZocQcF5eFpgRXlldnQ3PABfn5117gfUQrvEs2NJShWawP55BZpB4VkMHnGyNftD2YbGwt82GOp9kcEYbbbQPwybT6d2/9isrK+3Hf/zH2//0P/1Pv/van/gTf6L92q/9Wvuf/+f/+cbPnJ+ft/Pg3g8ODtqnn37a9vf3287Ozj2a/v5ZahNytc84ldZmV4dDSj1X67kFuidt1U1E6TgAgMN3rBX44mJ3qhyfOhAcdAotl5eLSSCW3N6uz6RGIwtQZaqo19x7pqK6b0AkHRomIAtspSYlwziO0efr63Uefac/WysWgfg0QVFqTQCyrMGR+4pkrY089xAgOiaZrMx4yXDY26ZrGN7bGBoZbbR32w4ODtru7u5L/fcraSy+853vtN//+3//zGt/19/1d7U/82f+zK2fWV1dbatZQ3m0Gy3TR28KgQzrI9zmUIYaiEyRxEqohpniO/8LgWQ2iWJSZ2flIDY2+mfR/XQJPut1/wNKQESGVYgr6Q6AE/clJONY+4UIrbQ2+75+yd8JoFKvsb4+m01C60FcqhBXMiZ5HwSojNMHaG7aATYFnDfpE4agYZhh4vhh+nGOh7cBZNxUS2UsrDXaaO+/vRKw+CN/5I+0v/JX/srMa//3//1/tx/5kR+Za6M+RLMavW1lBxQMqeYh7Zz7VnCiq6sVtshQSmuzLAlH6RonJ1Ww6eSkrre+XkzD8+f1P3BBg6GcNucM9Ci/TXCp4BRmINNh0f9ZSMrGYBiHIVAStmmtwhvJGiTg0p7ptAOLw8N+TimwNCHCITQe+u/y8ut6i3TsmQnjenQY7iG1FJ7j0AGnhiHHSmoa/H6bQIZ2DzNHRvZitNHeX3slYPFv/Bv/RvvJn/zJ9if/5J9s/+w/+8+2v/yX/3L7+Z//+fbzP//zD9W+D8KSrRgWnGrt6zT4TYLNPEdr5aQz7RHz0FqJNQGE5eVaqbfWgURS+piO1dWqTXF21kFFAgOZF1IwhUmAAqEB98nxcfqACXCRTimdqGvpmwREGJKsZimzI/cIef68rr2x0dt0dtbTTC8u+mv6T52NLMqlLWdnsyEgbU0GItmifFZCTndxwPn/MBXVuEhgkRka3zTAyIyZmxiX0UYb7f2xVwIWf+gP/aH2y7/8y+1nfuZn2r//7//77ff9vt/X/uP/+D9uf+yP/bGHat8HYcPS3EO7ja24LQSSRaAWF2c35Wpttuw2/UVS80dHs6LDBARnZ8U+bG9XyIBYNEGE1TrWRDXLLPqkjamD4PCxIOmgl5aqABadCOcuswN4SI3E4mIBgNRF5PtEm60VGyP0kmACEEu9SIZlsBrCHuno81kDXsCF/sjwwdABD8GF38PwSYKMIYvxTTn0MTQy2mgfhr2SeHMedlfxx4diSdvnDp4sUzkzm2BY64Bjdz5Cx0xnzAqWjgNahCyU2rY9OieKYfD65mY5eqzE6WlpK9bXy9FlGIL4M6tm5j4b7sUKPrcZ50DTQS0v13UxJxsbBSAIOR0ri8S1Eihlsa1kfDKUguUBbIACfY4tAS4AKZ8ZOtMMtwyFm0MAlu/fVJTqNic9PFdr33w4Itm1EVyMNtq7YQ8i3hxt/pbiytucAmeUmR25Mk1aPIWCwMPFRXeYWIphVUfnPT2tlXqGTjhVuomtrXLwjj89LYaBU82VuA3HMiNjmA1CpEmrIV20tVlwRQssdMIpn5z0/9WbwDQIMWh/aiSEW2zTnhoQ17+8rAJbrpUgCMDKLek902SDCFndvz7w2aEodxgayTECiL1Mm5HnGjIYL6sC+pD2onsbbbTR3m0bgcU3aLmSvC0TxOrdKr21rws2nSOp9uXlEl9yKsBBFslyvtwrxHmyHsX5eTl1bbXa55DX1jqASUdO4+AebUOeTjEZiSy97Z603aofQMmaFKurre3sFHsigyV3TE32AnvjHoV5fJ7oU8nv4+MK+SRTBKx4jbM+O6u6Iakn8Ts1M8nGDB19ahNeBi6c9zYnnQLTtwFgDO/tm2ZRRhtttPnYCCy+QbtJ3Z+WzuQmbcWwvkFmQmRa5cpKiSkXFipsgMmYTGplbgWdG4INszkUyMpVvsqY6ldk+W9OWrut8jllDjhTTgEStTHoNHJLdyt9WgbFregpjo/760qFAzRMv6boM0NTWAZtyqwQzyxrYHhWjh+WPMcc6NOsnEr0KoSTYOVl4CL77GXgIsfbTQDjTTMHL9OUjDbaaO+ejcDiG7KXsRXJPuT7mVKZ2ooUBSZ4UAY7sxNoCzhDzvr0tNIs6RAIDK3wOUAbdC0s9NCI6wwdP4aCzkO7shKokIVrAhX+Pz/vwCU1C/oBO3F52duVtP/1da+UeXZW4Or6ehYsDHUKq6sFnJxLO4VghoxJVh0dskdZ6CwZCUwFjYVCXcCW55WfuW11D+wBC/roZXuL3AQwkkl5UwDjpvsbwcVoo727NgKLb8gyhfKmSTQzQXKCT7YiC0zlKloFTWLFTPPjhK2ILy6qXLUsBw4Uq5GO+vS0gwpO9/HjYjKct7UKiWT2g/dPT8uhuSbgISyhra31Yw4PZ9NEFxaKVUmGJoWr2o+FUVlTIaw8DhAChmSnJFvT2mwYR8ZNAgPMDKAHrLHUfAAsk0k/xj3oj6GeZggE0gHfFA65q4PO86Ze402GJobgYswYGW20d9dGYPEN2V3ZimG83WfpDZLCTwHn5eVs+iRRYWaBLC2V4FE7sqBTroJb66GFk5MSaO7uVhggC3ARe15cVDgi2y+kYZ+OjY1ybtq+slJVMbWDvoHTd48pyEwQ434YJoLugm7EcxC2UdOCmBWbA0BlLZCFhf5eluj2Xu6lop1MP7tnjId7TTCXz1gfA6X6NR1z6nFeZfU/FIy+aQfv+sbLKOocbbR300Zg8Q1YshWvo63IbbuHsX7OUOgiz5chBmJFTk11SSJOn+UMj47KkS8v93RTYQyrdW2WJZIsxbDK5NJSBxVYBumr7kta68pKgQTC07wvVTJ9VkglV/scZIZqzs/759S/SBClvelcZb9gPzAyjqMPwQRxiEAafUZusobRST1MMgcZqsky6zmOHOf94TGvE1pw3WRG3iR7MWaMjDbau20jsPgG7EVxbM7d6pmjSE1BahiSdpceyeGlAxYCoSPwP/ZCOEEYZWGhv57bl29uFpMgzZPgUxuADG3e3CzdhusrvoUVyBoUNA4KeqUoEQBorfQXKZJUQ2NxsYCP8A1tyMJCB0mcewIojtrmbMAQkCN7A9PivjA2V1f9WhgYn8ckCG8Ad9ogY8X9aneW8KbHGDIj2ox1yvTTHFPJcNzFhuGRN81evEiwOtpoo73dNgKLN2wZsrhpBTgUE+bKm8PBAlil+0xqEqzaOUosx/Z2/Z2VKG2DzgECAsIZKaw8Oipw4n6yqBXWIHf/1C76CvoPjj4LJvnc6WmFUgCUtbVZ/QkWY2mpO/QUs3LqGXrhqIU4gKtHj2bBhWeAzVlYmN0LhdZDX6+v13bqp6fFaKTgNPcL0R5l1PU3QOg5ez65v4nzDgFLMmFDe13nPAyPvEn2YgQXo432btoILN6w5Wr+NgeQbEVr5ZiS+h5+hqNSedLrAAcnlqCCVsL72pU7hV5edqeOxs9S3Zyf69IFyBBxj7mjae6N0dpsnYzl5d52+gSiR2EI4spcmacWgZN+/rzuTzjl8eMKE7k3q/Dj434djIz+ZimMpeXwujDI6mpv++lpgQuMxjC7ByvhObinBI0Am4yc1gpcYKuybSn2bK0+n2PlLpkit9kwLfRNsRcjuBhttHfPRmDxhi3DIDe9l+I9NmQrOFMhBA6I8DApbGGArJ9A25C0O6c0LHe9vt5f4wiBEdfk8AETzpnjywyFFChyTFgIdTROT8vRrq/3VFaajdyKHbjAHOjXYUppCi7Vtzg9rX618ncfPquPM413KIh0PDADCGVNEEANEPOTIZ88Z1byBIIyiycBXRbeSl2E1zzvm8Sgr2MZ1sk2j+BitNFGSxuzxd+gvUy0mRQ840xQ9sPsgMvLWZEkRoDzTuoe0JhOK6SgOmdrs+WnM6bvOpzg1VXtAKqtuUeH0EHqRbIQlmutrpYYdGGhO+Sjo55amsW+1tYKzAiPHB0VA5HhA+AmwVkW3pJyKhxiW/aLi34+5+TAOe9kkByfu8W2Nlud1L3Sk6TAsrUOcAArzz1ZimQXsjJnAjZ95Pw5rlJAmumrmVL6OqZfXUfbH9oSTCQQHm200d4+GxmLN2gm4JuARU74HMqwngEHvbAw6yzR/kSVqbnIcAGHZTUsQ4ImQghCKAZIwYasr/f/T08LjHCiGxul63j2rAANkWKyLUSaWBfMxzCTA7uAbcBsJEujjalLUTk09/lIRqO1rjU5Pi6QkMW6MoNDFsj19WzdCf0v1JLAgNA0N2fb2CimYrgXy1CQqZCYzB4gwv/JEGlfsgnaAQB4ptqWgtjXtW8iNDIyF6ON9m7YCCzekL1MtJlsRYYy2HClaOWPqfCDwcgS2UIZGAaiQ85SOCCZkfX1WnGvrPSQxGTSK1lyVNvbBTgwDpnlQXjo/t2DtE96BNfnfJMdycJbWRAshZetzQIjzpfzOzsr5y2VFuBIIMZxpaYBiPPMABmgyDGpJ5GCCmjJFvFZ19V+OoysR0FomiLcFO0CPfrhJnDhngCiBAGp03hd+yZCIyO4GG20t99GYPGGbLhiHJrJkgP1mcwY4MCSreCYtrbqPK2V07baRskTWqrf0NpsdolQAqcFVCwutra3VxUwHz3qQICTBCroMHLfEPUdACPZE+fn5ShTsAhkcbjYCcfSVmBeUry4uFhFvLIWRTr6XO1nVk1rs4Wy8llk1kuyJJeXPSyzuVnsT6Z+Am5CJ/ogt3V3XgxIazenoOYYkFmj/UNwkZki+ZkEARik+zjmm7JGRnAx2mgfto3A4g3Zi0SbmcaXx2c8nXEwrVV9hSwQ1VoJNjk6LAYHbg8L18yV7MrKbOaEwlV7ez3EsbzcQQVR5zBbRVqobBOCVMLJdKQ7O3VdQAMbwfG7hs8QPcokUUsDCEtRajpsbVxfryJg+pYeJUWltpnXT9gQzn1YQEuKqesmUEkhKMYIeGltNhPEeAAyATVam9YKEAr7uH/9fBtzkcLNZDBS+/G6NrzeQ6ekjuBitNHeXhvFm2/AXhYGAQLSqQ7TBNMhDFejnK1wR4oxFXMCUnJzsTymtXJSVufb2/06e3s9BLKy0sGATcfoOJ4/78fv7PSfxcW+iue8V1aqdDhnSC/ACRM+Znlr976x0dsCRLhubonuB+BJMeOwWufSUm+nrBPnaK3fy8HBLDiT5QLAJVjKvUFSj4ElkskiVANwAG8ZwkoHn6GxFCpmmKi1art+zLGU9zzUVGQlTyDjvoYZcc2HFnUOBZ2jjTba22EjsHgDlmDhNtFmTowJLPJ19DXnhq3gVNRFyJoLsg9ska5mAwebq1krwMXFAhUHBx1UcMb2B8mMk9a680fN7+9/Pc1VSGBtrZx/pkAOj9OOrD7KwTqvtmcfYgOAAKyD4znek5O6pmJWWImTk37fBwe1NXxmlGTFzCz/jQkZMk0pms32ZsaOsIh2JJAUsvCcVEJlqb+5DVwMGTP9myv/YS2M17EhoMnCZw9h+Z166GuNNtpod7MxFPIG7EVhkAQVJsisYTFkK1LIJ1OCk89NxlJ/MJ12h6gyp+JT6aixFJkCeXDQwx9AxfZ2OcbcTwQ1f3JSLAVn3Vo/XhZIag04wxQoal+2S8gjV/3YgbQMnbif1gpcJZBZXZ3Nykh9gwJbuZpfXq7S58lSuK8EN1gVgMO96Lt05pnWm6GYzOTxWw2RTD3OQlmuk6GIoRg4gZrP+R8wuW8YYyjqfOiMEaGv1ma/L6ONNto3Y+NX8IEtaejbalcM61OkM7jpOL+BAw54GCbh3HzGpmNSQGVMyCJprc757FkPgSwvd0CxvV2fsYJvrWpGWNnbp4M2Iyf81krQiREgKs3+Uo+DIwckiBnd39VVb6+wynTaxaU2QOPEsSCZIpulupeW+v2trfXfdiLFYBwc9DbbXj6fJxCXDp5zA/S8nhkf+gTAcMwwFKbPHeccBLzJMgAk2nUToE3Hm+GRHJvzCGNgUfK692VDXmQJYsewyGijfbM2MhYPbC8LgyRtnZN8iv3y74zNK9ENGHAmVruZPnl0VPS3zcU4bBkGWIbj49Jl7Ox0sSZWgW6AUFP4BYMgNEOImc4lGQu7i6aY0w/jIHKnVtu1Z/VMFUf1MZYDo0CASbj6/Hlvu/unb+DEZcVw4gmmhiv9IcukAicHLzTiXFm1VCgqBZ/JPKTmRFtXV2fZDscncBmG15IRGYo58+8ce8bcfZmGN5kxcpOgc7TRRnvzNgKLB7a7hEEypm7SHa7uHJt1G7JWBXABUKQmId/LLAKiy+XlAgSqT06nffX+5ElliiRrMJl0diCp89yWnDPjPLPCJ8bE6j+BU9rCQm0shnXQV8nSYB5WVzsooO8AuvSxUNDCQj8mGZFhBou+AQoAFW3FUhAsCh8dH1foRpiKONUx+iWBQWsFCPUfMJTPP0u6AxuZOaOPWvt6WCQdb7JiNwmHjdt5gIE3lcFxWzbMaKON9mZtBBYPaC8Lg2Qsng3Fds5xU7yfo8+MEDH/BDQEm1b+uYupczmOg93Zae2jjyo9UxVJGSg2LsuVPsfNYee1cgW8uVnHDTcFUz9DOISuYpgO6j5bK+rf/xyt6pcJCmTJbG5WgS/nzHDS4mJlqmByMoRhl1YgKYHE0dFs9ouaIoqNDattAhvAlbZgN1x7CGqAJsArnelQc2EsDPUWQzBqzM2bafimwEWGe0YbbbQ3YyOweEB7URgkKXCTesbtc0KkQ3B8bmCV4YVclXLW2Af7cgxLeWMW7L2xsNBTMB8/rqJbWZAr74kOAYsCZAAVWZdiYaHSNq3YhTHSmQMlWf8h9+3gRFurUBAjHJUym/2qX1wP2yLdFBDIglMyXLQzHeLy8myq7cZGZbsAYzZxW17ux52czGa8GAdCXNJn9XWOD+fQV8CMsJT+G4KLoebgJgc/DIkMmQvH3lfU+SbBRQKohwy/jDbaaF+3EVg8oL0oDMKBcQaOS0eQK67czEvGx1C0qfqjawuRJCthb47JpJyeMIXQA1BBlJl7Tci2kNlBW0FsaYUsE0PbhFrcF2ft742NOk9mU3C4ufX70FlmRgtmxXU5a30H4ORxeYw+aq3u86uvit0AcAAI/Xl0NFtyG+ADALA9JyfFgHD+ngcAkU4xX59O+/WASBkqwFWCVEAjGbDUcSTDc1NIJEN0KR69b3jhTYGL4XVSuzPaaKM9rI3A4oEsNQ43vZcUNBtS+hwBuhvz4PNYCxR7ple2VgJEWQ7Hx3X8xka1Re2Lzc0OKGR0SB/VnpOTcl4rK6VT2NrqDs6mXsqGpzCTiDQ3QNNmYkdsR1bSzGJXmAvizyw4xSEniwK4ZXjBZ4AGaaUcd+4T4pwYHuCEs1KQS9swDdic1qqd+sO+HRy/8uCyTrQ1s2n0Q4pPOf0MgWSVTvcwFPICCkO9hbGQIZF0/PPULnwT4CJrqow22mgPayOweCB7kb6C48yYd07u/gcqTI65s2k6WXoCWgjnuL7ujm9trYMA1D1wsrhYhaLsUGpfENuiWx0LqQAKk0nXYXCgnKLzEjDShGi71SOHZ8dUDjdX3xyceh3SSLEi6WAdR9SqQuX1dTlvoCadWTph/aLvgbIEH+4js0Fy75ChBsLzyiJdrVWtDsAKMJBVYpMxz7m12e3YbayWrIVzZAVPYCcdeWuzY2/IVNykURiCi/s66jcJLsYaF6ON9mZt/Jo9kJnAbwIWuZp2nL/zcybw3CMiRZzofI4J0GitHLvY/NlZCTPTYdI7rK1VTYrDw6L4p9MOPjABxJQ2IGutHO90Wmmp+oC2I/UZnGDqDfRJsjWt9fuh/1CHI1kEIaHMWknQhpU4Pa2Qjzak7gPz4LV0eLQX2uNv4Qj97NnaBj7Bh98YGeyU54jN8X9rBWQAidzcTB/k+MkwyHAspqDzZc58CHQZUJnj+D6W1wcyHsKG9z3aaKM9rI2MxQNYOsjhCmkY6hh+LuPBVsD5GqABRMiQSCo9aXashOJO9vnIdq6vl4YAoEgHbpUOwHCCrc0yDFbOVqPJbrQ2u4lXgqbUWjgXoOSe0qEtLfXaGufns9kS6lUMV9xSPT2PdGDCNZn66XO5YseE5Ge1KTUaAEVmjlxd9fams5bB4zmnJXPhmIuLfr6trf760VExNpn26vzGwE16jdRb3MRa3AT2cqxmxsh9a128CeZizBQZbbQ3ayOweAB7URgk2Qo2ZCucI19LbQVnia1IVoOWQKrm5WVnIA4PSyC5uFhbnMtkmEz6OYe7fsr0sIqnMQA6OCj6C/cjPJAiSRN8OsDUW7RWTtWqnW6CniBX6ApZAR/6I7cDJ16dTquvWiumw/lSU9FavyZgkNcV2mitMjIwNa0Vc+GaNmO7vu6i2Kxhof9Tc6FPnJvw1pg6O+vPEeN0fNzBhjGVAGEILryXegv3lHqLYUjkJvHjPAHBmwIXY6bIaKO9GRtDIQ9gt4VBEijkyjkdgcmeM26tnIPPo8ZlYsiYSI2DWPzTpx1UCH9k2mKu4k9PywFiAQAJTgVVD4Rw6n6S/s/sBivrzE5prZ8jwxzueZjBkCvyFEb6OzcBOzysPrPFO81BlgSX0cJZJxWfxcS0I58VZibreRB+aqvsmp2d/vmjo14iHdChPwEgPGPptto1rE+iP9fX61ran+BSHyd4Go7Nm0JPbPj6TSGEeYYyhud6CHsT1xhttNFGxuJBbRgGGU6+CTzydasqDivFgZw5p5piTU5Gauf+fmVqfPRRf31pqfQX0iZlLmRmw+Vld46cnFW1FbVwDLaEw3VOq23v0RcMaXjZKkpfc852J9Ue57ypVoMy1wSYQ7GkUBHwQY+wvl6lwVubTQFNZmO4URndA0dO66CNhKOrq71yqWdxclLsUAIbP84J/LVWtTCEpHLr+c3NKtWOnRDSSbFsMg4pFnbd1LvkOPS520IixvhDMBcPlcUxijlHG+3hbQQWc7bbwiAm3iFlbTLNWLVVpomPg8yCWJydFfrCwmxq4+VlbQy2tdU1FJx4awUAWit2g3NB0Q+3+U5gkw6MZkNtB6GDoeBxOq1QgZobBImHh7Nsi/vgAFOwiBlJensYMjg+7q9hTpLNUYgLO0B/Mqz0CQBlZgWgsrFRYIXTl5Hh7/PzKjPueQjb6HtOVNaLcQE05v1z8ASiRKO5/bpnlXUsMqyVoCIBXoY+0l4WEjH25gkuHtrxJ1gawcVoo83fRmAxZ0v24KYwSL6WtOz19ey+EFb6wg8mbloGQksTvRUusd/xcXdUhI50FbZM51yHwr3WutP0P0CgTc+fF8ARihFSoXPwOZ/JlEvOPatyrqx04NPa1zMsmP7M2hJZrbK17rSTTdDfw7CMkIjrel1/Aja5HTw7Pi7Qo9CWMAsdit+0MOvrs0Jc4Y3sB/1un5PUYZyclI7COTEj7jfH0JCJyGeZ4CJBAwCZ48B4Tsd7myOeJ7h4E45/FHOONtrD2YjV52w3xW6T7mbYCpOniU3IIY/hsDkPDlp6ZYYwsBJ7e/29x4/r2NPT7uSsuBO4AAuZtqiiJIaCsFPIQugjnSUw4Z42NvpxOzuze25cXpauQ9jEZG/V71xnZ1VXI8HY8+clQhV+IOCkj8isFYDs+rr2RRE+4XAzy2QyqcwMn83Qjf8zRJQOHuNzddXvfWOjzp0O7eSkyn1jWVorJojAFYgE1Dz3zBhKUDt0mglY9clNmSE3jelhxsxNNk8Nw0OniCajOOotRhttvjYyFnO0nHRzlZWT45CxSNq6tXLyshS8lmxFa+VkhU5oDZ4/7/H88/PaSpwjtXK3ohbnB2aur8v5cdbamVUjhQtoClDznDNtRjpz18n+WV8vTcN0WgWwWiv2xmeEdfKefCYrdTo+i4Ipp42NAJqOj2erftrZFWDQR6lxSdZGO4We/NZnKcQFrhKAEJ5eXXXglHoRAGFjo7I/MsxCK5LaidTBCKGlWNVYy/69CXzcxFpkOOlFK/x56SQyTPhQzMVDn3+00T5UG4HFHO1F+orh68PVEpCRq32vZ12J/Fzu10GweXjYndTiYndkKPPWutPiJFub1T60Vo4xC1htbpYu4PS0qkJiGFqr0EFWmuTMOLxczXOIwhgcFsdnMzQOUlsuLiptFojCugAGHD9WpbViR2wPj60ZlupGwbsPIAA40ketFYOQz0E7PavWZsWgqUdxPGCSolxj4uKiH5/MhiJmHLfwBsvKqpnd4jklwPMMtXeovxiGyVLn8TJwAcDME1w8RMgi72kEF6ONNh8bgcUcLUHCMNtjODFm7QoTL2fgHK3VKlQYwmo761kISVxe9pXtdNpBhdXv8+dVAAtbkYxEa/1YeggrbK9lGGV5ucSILFmHrBBp1c+m03L2rc0Wy8oV97Csd4Ium6ZpH+e4sNDv8fh4VmvgfgGW1jqwAGoyK4TGwTX1aW7tvrZWbEWKIoERzzJTP5eXq+4I7QbwQwzq/vUJ4CK7xHOUfdJaVU51n0I7wMVw3Gmb+7GB3E06C5bsRQK924ScDEjTT6/rsIfA8z7ajdts1FuMNtp8bQQWD2BDsVsCDiv51r4eE8+VU5Z/do5M/0sGQ8hkb6+qTG5vF2WPOcg9KVLwJ+XUCn1zs1Ie1avY2CimwL1wqpwbJ+q+Oduk110PsNJfnDVn6l5TR9JahRz8LbQjTABQcJKtFRMjpNJaa7u71ZZkaFLkSfS6uFihCp+he5AWC1zIBEk2Y5hpAggNHTknr38ByM3N6vezs9rPxdbt+l82DiCa27ADMVk4zFjIOimpbRiGRIZg4mWAYV4izGHIYt5pqEPw8hBprqON9iHZCCzmZDeFO0zKQ3FY0sz+T4fPWfs/0ytzt9HWav+Q5897mODysgs2MzXR7qOuMRTfCXXIYLCS97qS3yh1oY5hOioHC0gkhe4+Odmk6rMoltU7xzcsJw4g6V/nADgy9LK+PgusnFf5cyEcLAXQp1DYwUG/b2zI0VG/7sZGhVdyM7AMByV4FA5I7YR+yjRV+pKdnboP+7BgnIwHVUSBQfeudogxIWyVjISMmGRibnKsQ+1FMhvu5WU2Lx3DqLcYbbR3x0ZgMSd7EbAYTtjiulnGOUMAacN0TyvMLD41mbT22WfdkWxuVo0Fq91kP/xeW6vUSU4oi1IBMysrtcU6x8ZBaXdmKQzV/MkkmLwze4RTTV1AawUybuoztP6w37wn7IAVANw476urzlzs7FRWSGoHOH26jCz85X4Bnem0A450/Ip9uTaQMwSUySCkqNNz1M8yUNTeyB1QsU7CRKlL8Byy2qcxCtxgaxJMDJkLz8Pfyey8zAnPU4T50HqIUW8x2mjzsVf66vx7/96/1yaTyczPt7/97Ydq2ztlN2V9mKC8nhR9hgE42+Ekzmnmb87D31dXfWUt6+Ojj2rVjPmwCreSVomytWJIiAKvrvq5JpP+GgeXwr90gBcX3UlzTpnV4vyOPT7ubZXhAVjRP9gADajRduEVr7kPOo7hhmgyPzAPftS5AD6ERXI1P51WSq79QtL5uhehIZqJ4+NZJgLTAPxx7jk2WquaGjJC9H9r/fwKlWX/aH8WQ7spRRlYMd6y0mdr1YcZkkkGKduawGIIPF7GXGjTXY9/kc3rPN/U+Ucb7UOwV2Ys/sAf+APtv//v//vf/X9xDEjOTELDlV6uHJNyzsyBXKmzDI1kGmFrVdqZk//qq36unZ3Kjri+rk3HiPs41dyXw0oWwNnb679zlY4dGdZNaK3SM1Os5z4BAToNDra1coqARG4JbiWu3ZmKe3ZW4ZIsBpXXT4Gf55HgI1NY9Un2PxZluCrHkmTl09yyXlgBgyOMpMy69qRjzhCO/pD9srtbxbVOTuq6rZWoM8WgxJj6JcWT2uM1fZp963l51sOqpUMh56voEuYlwkwG5CHEnKPeYrTR7m+vDCyWlpZGluIWuykM0tpsHDtFmukArBJzogccnE+WRu4bcXDQX9ve7j82pOKQM5bfWqU1Xl11h+Q4oQwsB6fCmeZErm0ADONQrdxfFMI5O6vdQzE5CmgJD6QehCO2qs+MElkXPsNBZ9+n/mJ9vfcbDUOyQPra9dy/vlhZKfYgwzuOc9/6BrOgXxzHgadGQoiFfkP2yhBcuveTk2I0nCeBlL4DBrPeB4ecbILnmyxagovsT32UffYyB39TSOR1wcVDOv+8rzEkMtpor26vDCz+6l/9q+273/1uW11dbX/4D//h9if/5J9sf8vf8rfcevz5+Xk7x7u31g4ODl6vpW+xWTXnRJnhDu8NwyApNPQ/uj0ZAg4rHQSnqMjTxkZlUKysFGjAPrTW/z46qte8LqUS2CDuE5MnpMSyyIho7evOMlMr3Vfu49FahWMAHmGHrG2hXxJcrK3V1u7Zp+pRJODJAlD6BoMgY+LiovQRuQOq5yOkkqECoYcsUIZpEaZwrxx9rvjt7gocAB+yPmha1CN59KjaKrSzulqCU+m2w0wjjApA55oJbFOTkQyEsZZ1MhJMDIWgQOddHPy8MjzepJjzLqBptNFGK3ulr+Mf/sN/uP3pP/2n25//83++/cIv/EL77LPP2k/+5E+2r7766tbPfO9732u7u7u/+/Ppp5/eu9Fvmw2zPpIuzklpSAWbkDMW738iQM7LCjSLUNEIoMSBityNk9O3ilb3Ih0ch+hz6lXYCfXkpFb4VnJraz3bhDZDpoXdVDmk9fV+TDIoa2vdYX78cdeEbG9XuzMNFlABtjLFlmYD/c+Z00OcnlbZblu6KwHeWjlkpcqHFT+95rr6kGgywzCZPgpMCT0lkAT8jAVsRGbBuGfgIYWbAMRQ72GspQDTeML+ZGYKsDZkhDKMl6LSzNq5aWwnm3EXSxBw18+86DzZx/OyIZMz2mij3d0m0+nrS5SOj4/b3/q3/q3t3/q3/q320z/90zcecxNj8emnn7b9/f22s7Pzupd+aywn6KTG08m1VqvGpJitVoUvhAEuLmo/itZmQyhWt2dnrX35ZdWcwC4sL3eHn6tpuorDwwIOMgI4Dsdtb5fTtYeFlTc2IzM1jo9nAY5jkhEZiiOtwJ3HvQEUXstsD9fzOtYigVT2O13H9XUVC3MeQArYwNTI3MCWOC/Hrrrp5WXdc4YTMiPEc6Rj0ddAYOpksBfb23Wu09POWCwvF/A6OSlNy2RSFUq3tmosDrUb+iSzYzzDzNZJ0CvzRd9n9kqORWPaMzbO7/q9yWf9uoxDnmfeeovWqv/u08bRRntf7ODgoO3u7r7Uf98r3XRzc7P93X/3393+6l/9q7ces7q62laz3OJ7akN9hRWeSZljTZEgJ9ja7MTP4eVn0e82wRLDV6dCCmmuNDk7YkAhjtQTpIjUhmHTaRdxCptgJ7QjaXK1LrAqymsnCKC5cH9YgwQ04K1jgIOM4ac2wbFW5q2VPsH17D3iGM+gtQJtGBsMhw3MVBBVL0Jb7FWSeg6Ozd9YiQx95WZvMmxaqxRYzz23jF9fn93PRKpphlW0fWNjltHRTwkQ9EvWD0k2zX2lbmQo7syfYQjwVcISeZ37hBseWszpOzSGREYb7e52L2Bxfn7e/s//8/9s/+A/+A/Oqz3vnN00ueZ7OXGboNLh5IQIaHBquY26c3nt+Hg2fMAB0C7kZHt21t8DDqzWOXvUO9bj+LgDkda6U9vdLeea2orr6zqn8wIKUhuzzkWudPWbcwn75Oo4QwWt1T0qcoUl4rABktZmU3QBGQ4xQZ+QBV0IRy7UpDx2hhDW1/sxdlwVdnL/7j2BJkYlmRhAzWewUY6n58hwyPp6v67nBnBmKA0jgWnKWij60XPJTJabtBMJJLLf8v3UZ7yKA54XKHgTYs6HAi6jjfY+2isBi3/z3/w32x/9o3+0/d7f+3vb559/3v6D/+A/aAcHB+1f/Bf/xYdq31tvSee2NgsscmLOSZczzBU5kwoKRHC6rfUJ8/BwVkuxuloFmIaOGIC4uChwwImmA0GLT6cljnT+ra3aK4SDM7lubc0WXTKxD2s4mJQzfVXbhmxCahmy73K3UbU7hDH0tToVmJwUWeb+IFmXghPa2ZndtTQLcOmj8/PWnj3rx2XYJB3NwkKFqpwj64pge2T45LPKUutCSZmC6hwABTYJM7O+PstGABf6JBmTrJA61P0kk6Bt+t6zzuP0V47zuzrfeYGCh8zkGH6HR2Ax2mgvtlcCFn/zb/7N9s/9c/9c+/LLL9snn3zS/v6//+9vf+kv/aX2Iz/yIw/VvrfactU9BBY5UabTZCncNAlylMIajmutQMF02lesBJbX111nwSGi513//Ly/T39hhZ0sSwIYcXugQloohiRj85yJdlpdc1gZ48eIcKDpzFzP5J3MjvtP0SWBY6bICvO09vWNx05PS+uQIZmjo1mQtbJSQA3DgH1QEwSj5FkOdSEbG8UGtVZ9dHxcVVCHmT7uG2OyvV0OTB9iNlqrglz6UMEzQCVFlRkWy9Tl4SqcY072KYHGTc8k7ztDb6/qgOcFCh4ykyPvbd7AZbTR3jd7JWDxS7/0Sw/VjnfacgJvbRZEmHA502EYJGPdmZ6Zeguv7e/POg9bmrfW/wY+MvyQK8mcEE2SshykrwIOW1sFKJ4/L6ZhWDbaChv7MhT40QpoBz1BxvQBhdZmHbX+IXKkL0hhaO7CChwk8MlKm8+e9UwUz2BjozQfydwkYNvb6yGR1dU6PpkGbU1nlqwOViH70bNR6CsZEbvICtNgKbAZjl9bm91mPUNiGJHWZkMWmJS8ZjriBA3GyZDFyHCJ9jj/67IWrc0Crtd13G9Cb/FQwGW00d4nG3H3PSwnmCGwSOeZFH+mCeaqN0WRuTrioDnw4+MqOZ2UvJWmiU+YgcPhnDK0olbF1VWJO5eXuwOVRWK/DNkn2owtyHDO8nJvz/r6rEMDPIgT19ZmNR1ZowGDgm3IfmqtzmMFr+/V7iDG1Kc0ItgSBcX0mfZgIVJU6ZxXVx2UOAZ74R5S4OiYhYXZDcnsIIuRGupmUhB6eFj9pi2OSYCRmugMTyQ7wflx1LJRUgBrbOUYcu08R7JygASAMWTfhgzdXew+n822DkHfvOwhzz3aaO+TjcDiHjacXIb0+BBY5Oc4PsdlumUKOa1G1YcwuXHyVqfAg3YIEbRWTk1tBJMjx350NFtjwk6p4vH2xGhtNj0yhZZCFOkQMQWpd1DjgqXeRM2J4+P+c3TUWZqDg1qdK6GtNsXxcWtPn84W5Eq9gmsBRpwuYJIaEX2Te51Iv9Un2og18RwyLMTpLi6W0FQfJauTzIdQjlBLZn8AHenMc3zlDqkZunAt77dW7fRckn0YgosEzrlCz/GcgCjTgm/6frzM5uW4k+2YNwB4yHOPNtr7YvfKCvmQbTi5JqjIiTjDIJwCJ5i0c9LJmQpqspdWSHsBKKTC//S0OydOOMEMUNFaaQHE/q2IHSPNVBgjKXdhC+2iUUgHhQlQL4Lzy/7ITdCAjSEdP6xumStl5+Ig9/bKMQuJqKiZG31l4SiMTmpUgIb8jNCEa6WYFGuQG4TRc6yvV1qwMNDpaReKup/Wvp7SiXUhBE1GLEMG2gFUZEpp/p8OO9OXz84qq8e4NL7cR+oncmyzfF6p0cjvyauEDBLUvM16izEkMtpot9sILO5pwzBIa7Px3QyDWEnm3hn+R8OLg2MqUOP0DM6DYuf0OBfhhqyDwWmIwatXocgTtuLgoDI/UhvAKVq9J0hynaFDQdUPY+/AknCG+xcKEZpYXCzRaRZjcg3n29np96Fehzb52/mcOwGQ9q2u9mudnNSzotvA4kynpWfZ2+ufV9BKOKm1Yii8JlW1tWrj/n7tXOp5Zknv4+N+DJDgd4Zpcjfc1EoYf7lFfKYtTyb1XIEl4R5i1Qx5pahyyFhwsECMcaifMXCvmukxD6Fkfi9fpw13PfcILEYb7es2AovXtKG+ImlRk3BOPgxFneEKDmsyKXFda0WhCw8QD3IOm5v9OPS+larVrteT+bAvh63OhTBOTmYzJGSESFl89Gi2wqVrEI1mfQoCz9aqJkdS++h5GRjJRPgs55QZClmbgsPEDOjL7FNbnsvSyLCH+1IqW4Ep9TpaK0bItTOksL/fz7W9XWEPTozQNOt1TCb9WJ8lGG2tdBoKkclk2dqa3Uck2YPl5Vk9R+566jXOdNg3rdWeLoBo9u8QxOX4yXGdzzyFk1lXxXflVZ3vPFiBebEft517LJw12mg32wgsXtOGqXbMJIb6zzCIFaFMj5yMTPpDIHB4WP+3VhkWuSsppzfMWCDwzAJLQiXOJxtBKWphBCBjMmnt8eNK1czYfWuzG5lZ/brP1AsADIANZgE42dmZdfpYlNZq5e11xbFSl8I5qn+RYZrcJyTLYQsH6buNjWJopG9iTzipjY3epoWFSvlUI0OGinCK9mdYwX2mbsSYARYJZ/f3Z+tdpGPUP/rQ+xyeMZh1LDBPxLNZQGxra3aMErtm+zyDoeYix3LqP+7DGMyLcXhIAHAfVma00d5nG4HFa9pN+oqcVFP0ZgVpE6pU0HMMSTVbNVpRnp93hyTunzUVkgJfXKydPYVIklFRDpyDsusnZkQJa1oBWgzahcw0cb/Hx/1vQCjvMXdblSmCqclVLrp/uCLG5OhDzlqYgVYFMLKyd608Xxbrwhb4zNpahQMAH7uHDsWq5+c9y+TkpCpv6gNtOz/v7xFkZhs8P+3Qn57B2lpnNrynrkWGG7AExgDmxR4snkOCpqwIenlZ960g29lZ1QFJRgjQ8xyG4CJTnG9i6W4Sf97V5q23SNZlHjYEP/NkREYb7V22EVi8hpk0h/qKBBZWSvl+phomiOD0T05qMr+4KMfqOE4vHQAwYBWetLxjWitaXbvtL3J0VNcQ37dKp8UAbpIZWVrqq2psjHAKJoSDfPy49CPOkdukayNWggCQeDQzSKy2tQG70lqBC9ui57PIuiBYEw5V/ysspvbGxkZd28pfm66uOrOAtQA4Wputlul+FbnyXFPcCmwBF/p2Y6M0L/YnYWpdCCfZ5XV1tYplASE5RrFVdBTuRVs9kxThcsQZVklw4fnlONfXCUhed1U/D8bhIfUWY0hktNG+biOweA0bTiLDUAhgMQyDcJ6cCSdjK3PpiWhnzsreFUpoZ0ohuj1Xsxlvb607IdeaTOp/K24raxS+z8gSMXGi0K+uSvjJEWY56q2tqh2RtS4AELoIDn0oYgWwUjdyfV07rWIXvI9NSeEkJ95ahY0ILd2b/UCAA7uJyr6R3SGDJJkAAs8EgRgT4kf9DUC0VuAodRKZtuoHgMQmCH1wjslISGNNLYXxZSwCB8InwlYyfLK8uvGUdUISXAi/uSdjHMBI5y0MZMzfRytxH8bB98WYnbfeYgyJjDZa2QgsXsNyZZaWIQ4Tqf8zVdFnc6IUfjC5Aw2Hh7XpFZ1Ea7W65TRPTmo17vO5YgVA7Cext1faBPS981uN53buMiM4pdZK18DpPn5c944NsH05QMMpcjaZXptFv3IVmPU7gC7tyvRR95l9L8Tg9efPK7zTWmdVhJxoWuynIu0UI9RaOW/PKrM/MCVCTFiC3IAtszsy5OM5AA4cPg2E55xZPsCJ7CF94bOZpWF8aidQRq/j3lqrsZJ9q715/Ry/yTQNQ4Bez3O/is1Tb3FfQehd2jeGREb70G0EFq9hL9JX5EQ6DINkCl1rpaPgyGQvXF4WU4Ah2N4u5+48HAZQYUUu/ZIg0OTvXHt7s1t0K/0t7p5sS+5ZgnHJyV06J2peWeqsjsmpJyjgGK3OU7CZQsPWSgiafayd2b/CC61Vae/WSleSmSaYC+AAU7SxUVVIXfP5865xETbQZm2lVTg5qfvUP/pZ+zz7rAWS+gb6mMvL3pYvvyxApB8BCUCFTsW1nCe1LsabzCChoCxwBhjl60NnmboNz9P4Sj1Fgtpc0d+Htbgv4/CQIZEEU2NIZLQP3UZg8YqWwjQr6NteRxFnLN+E67dVIkeWq/Dj41Lrcx6tlXOzxbbV9fp6OUgr7daKLr+87JkG2BElsNHu6kZwRM7PuRIKZkporqLzGA6bA82Km1ayAEVmULRWDgv1jwHIUJL3MQZDULewUGAnhYv6i6NPlsDzWlnpJbxbqxAD0HB21kMmV1etffLJLMMA2Ci7niLV/GGO8Rmfn077syDelDpLU+GZpdMHJDARqfPRn8an6wK1AFrW49DPGI90lgBsalk4+ky7zfAAZoqY93VsXimoDxESeUjQMtpo75qNpN1rWK7M8rUUbmZYxOoymY7WCkjQB2TmATFeUveTSYUhpD1m/N256CYyLZVGAbuxvT2re5Amqo1Jn3N2CYKAgQzNnJ6W4JRAM8MS+ke7MB3a53octc9rD4CVqay578nWVmcW7CLaWu0Vsr3dX88UUA47s1Za639//HFpSoAtjMblZRdWfv55XV+YAXDJ5z90gs63uNjbrA+JMJ8/721bX+/1Q7A3UneT8fHbGBgWzgJAOHXOFFjI1GdjN/UgCRByvKcotrWvF9JKJwuwMce+qiUwM15ex1Ibkvd0X0uQcp/2jTbau24jsHhFS1Zi6Cy8nhNWUsZZj6K12X07TPpW/Ept01ZYTZqUsR4ci8qRySrYHXMy6Y5Q1sjWVjlCIZIM3QAVnBEdQLICnLzVf6atJoMhLCPTgnCSo3EPfmeIQXsyc0YYwvkPD/vPwUH/nU5dpgi2xPkxGADCV1/VfUoVba2yM1J0KttFuEp9DPfiWR4dlUPN3wkqpb0qq82y1omiWV6/uurPIouSYW8U+0pwkWMlgYL7SrYn2Q/3oz9zjDP94jnl2MzwR4Z/jKvXdbzzcN7zAig32UOBltFGe5dsDIW8opmIkrEYshUm2Mx2SHpfvHxxsRgHtDRHLC7/6FE52hQ5yswQMwcoLi5mxYmtVdrixUWVocY+OJfVL42HbAcZDxmLz5LN7k2lyXQo+oDDyz5zbtuRD4WZuarNug0ZWlFvQt+lIDQrTOYqHBDb2urHHx6WBsMxWTrbfbg/IM+uskAcYKg/aRhaK22MPkjxZ4JAY6m1yoxxLayR9zn8jY1iRLQNgMiQE6CiaBjQquIqkAkgOA/QOAwzMf3sO+C55PEp8hyOj9cJRbwrIZFRazHah2ojsHhFGzITbEgB+0nRJltYKLaCU+aQssyy+D/gwLkpWc0BrK5Wlsfqajl/GQUo9PX1WZGeyT9V+ykwteJ3T1a5GUN3f9rPudNXZL0D/TcU+dmaXYnqTGVsrcCAv2VReF24wT27t0zBlLrp/YuLCn9wusnGZPnr9fXOQJydVQiKTgUgcM9nZ91hn572azx92sMzynljL7QPiGGeuee2uFi1ObJAGQBGjwG05rkTLGY5ciyQYmj6PDN0gEggaRjWSr3FsG5KZuHoc/2aTFUKPl/F3vYsEf0/govRPlQbgcUrWIKKtHRmeVxrXw+DmGiyHoIJTijDpEsTgMafTmv1apW+tlablLU2u/eHLA2O3y6enD0Q4h5aKxrdNu0clz0x3Fs6DKtR905fYSWYk6s6HByacAJdRToNOotkDhIkDHUmw1TL1r6+ygYagBmO0P0nI5I1J9QSIUrd3OxgDlCgvXBOgtPDw8rw2d6ebQexZgomr68rLVe2iDBHaiRS9yFEo/0JZjm5BCOnp5VSjLXIkADgAbTKeNH+obMEGoz3zCoBVjJ7BHORws9Xdb4JCl6XcXhIwWUyM6OQc7QPzUZg8Qp20wokwyCZ7TFc0WeYwWSTe3ZgFwAK51UHweedK9NHvc/RyhIh1KRvyFUsx5IrT07Baru1/jliyCwhnYI8kzo63XmHfUDDQIzoOpy7cwxXksIZnBVHnQApd3MlYk0nrq9cF8BJh8iIIO12CvAkWGqtnPWzZxWmoXEAgGwqlswIh01ACZBk4SpiWv2VG8DpJ/2q/DgQZpxksSzj0vjJMan/hs9tOP60zbjP70GCiGThjLd0sul0Xe91nO88mIE3lSUyr/OONtq7YCOweAW7jbHIbA8TXcark6ngVPN9r11fd8p9d7c7c2mBuYIXLuFost6FiX19vcIFZ2f9XNoMVHBSGAxOX3XLlZWqnsmxAkLuibPFUrQ2KxLMVWlqQGhKMDApcJSxwPnk6ra1um/hHZ/lmDlSoRJOXqjC+ThSNShcKwWe+jdX/vqJ9uHzz6v2xc7OrLCUEzZGrOSz1Ld2CesAPdvbxRYYI5y0sbS2VuEqwGJzs+49wZ9nyolKX3WfwzDHEHgAOVikIRhIZgRYzCJc7iFDY+lsAcVXtXkwAw8VEhmGRceQyGgfio3A4hUsAUQKN00aqcjPGD+HZHLNFEGO9vi4T9xbW18X+LVWk7lVr9UuB8GZ5Bbb9pSYTGadmbY7l5UvZ7262kWjW1u16iUqTTreirS1csCZBsn0Q4Z5koXQ5hSCDsNE2c/ABAbChM1pc6KpR7HnBhCXJc6xOlb519eVOcOyKFRqMOgfME0rK7XKT0d7fFzhjHSonCGGQ9quGhyYFZobz8KeKbliPzwsAadzpYgW0AA6chymZiVBVoZRpOdiu4Yrca9liqvzpyg3WYvUKr3Oyn4ezMBDCS5HIedoH6qNwOKOZnJIQ+OmA8yJJB2qUsock5RCm0iZ6OkqaB9amy1zjZ5eWurCQM4z9Q7qVaTDHlbaPDkpJgIFL5yyuVmrbbUVrNSHu2cKt2Qc/fR0VuOgL1qrrcVzj4rWvh5C8ndrs0W4cmWaWQaZjWCjrXSYCdBcD9DT167hOWd1z4WF3i9Ztvv0tLMUn3/enTows71dbQcG9Dn9BMbID+CwulrPDmuRoJAeQp0L6cg0K0dHxZwIZ6WOBLghgk1GIYEWJ23sZUgk+3oo5PRMEvzpW9+HZC2S3XtdcDAPZuChBJejkHO0D9FGYPEKlpNga7MiQRO3Yzi7XG2jyHPi5CRQ5yny49ABAM6yte5gsoYAUACwJMWd6YSp8WitX+/goP9eWysq/fq6AI/wS9Lxk0mlaWINMvtlmJKYdRwICLU770uRqWHVyqzOqc/zPkzgwh1HR7N9xpFmZkuGJ9IJ+u1egajcPGwyKTbo8eMO8r78slbsGANg0f1IL728rKwUoCPLehOXCnHpC5kn5+f9vBxxbiVP9JlpsOnQvU4zkWAgw0/JXBCISu9NPUaGIIxHbTZWklVIwWaOl9cNR8xLhPlQgstRyDnah2YjsLij3aavyImY007VfoZBTCqZ1cFJYDWsBF1HXYqcmJaWOhjgvOkqOIHptDsdMXpCQMen47NvyPp6X+kCI5gIzkFbtVGFTcCHzsJvfYGdsCKmg9B3+hXrohQ5IapjtSuZi3T6nKpjd3ZmnxmA9fx5OV195Xy5GVeKVLMImOeiT1dX61pfftkd72ef9cqdySJhO4CcBBeAHPCWWg7aCWMKUwIYAC0ZsuDMAbHUOOhfnzk7mwUVQ4bJeMV2ASWpIcmxxcm7boLqzHCiL0kwPgxpvAq4mIcI86EEl3kfo5BztA/BRmBxR0tm4mWvJe2bKYhi2CZT4kmrydYqti5EkHF0cf7j41nxJxCB3t/YKMpbdogiTcIoJyfFVGxudk0FWl2ZaiEFDtKqODMk/G2vEg7c/RFGZk2O3KkzN8hKJ6pPZbMADSh/fY0F4RiFl7JmQhat4oDT0QEUnl3WvFBuHahYXq79OzLFVPjh2bNigZJpyPAWYOa5ywLR935jnlqr9tJ10OQAJkJRyWJljQzAl1PLLe2dM9mGoZgV65UVYJMFSZbBGNdfGA7flxTUZhhjmEL6qqv7eYgwH0pwmW0bbbT33UZgcUe7SV8xnBCtRgAGE3BWxiRs82NDq42Nr9dsIEJEOXPwGTNfX++fXViojawyZIBSn05rlX1y0jcju7rqNP7OTrWdGFRaphAJoSYGo7VawfoR6uGcWqsVu+PR+RgIlSNbKyfk/oGBBBy5+uaws7YFRkQ/upfV1S7ITGfrddfPzAV9uLras2OOjiorQl/JyNAu2Rycboa+Mlyl3dqbIk0gCOgSduHoWyutxclJZQ95rhk6MgZSq2JMAqyYHyAm2YYczwniMuMmAcMwJKJP6TO0xxg2NlKDcB/mYR4hkXmFVV523pG1GO19thFY3MFuCoPkhJ1ZECZvdLEYOhP2WFnpzirDAjJBMBFWdFmLwGSOipYBoEiWiRBdbvLmDM7Pi0V48qQqQkrhnEz6qtvq1kpbbB+YIDjMAltYFswEp5OTMydihcy5pW4ia1tk5kfuVsrx52Sdq2MOOwWHHGqKPznt3OU0HZ6+k73iPYBkba2HkzjzzBhynaOjAhRHRx3MbWz0vwE5P/oOW6TP3AtgpjDawUGxFsCVPkkmx3mS1XEvQzGm8BYwQacC6GaF0wyZCDn5Tug/fZFsXpaAH2ZO3Id5mEdIZB7neNF5RyHnaO+7jcDiDpYTQU4IuYpMpzTMBsmQCG2CmHo6YQJLjiCvr3ZCXgdbgV1Qr4IzzVUhB6HS45MndTwhZmvdWZn8Fhf7Ma2VAxRO4XiEVTLkkfuR6Dv3oW+yPHmGg4Cy4cSbWQwcaGuzK2rX1MdCM4p+tVYsTxZvAuiEIKSmqnKKUbLDKH3K1lYxDQcHdU9D7YbS2cbGyUnt50JjIxwhVKNoFf2L/gEoZY+cnBRwwXYYL57dykrdvzZhEoBJ41O/e7bAaYY2gBvsUOpe0gl7NhgYYAdQBLATWLQ2Cy5eV29x37DDQ4UuHoINGW20t81GYPEKlsK0m/QVJo3cBCpp9tbKIaoJgP4eCt04aecyyS8udmfy5Ek5gmfPCnRMJrMTvh+r1em0tY8+mt2uXLjh4KDOsbVVTtLqfxiSuLjon2mtmAzCQM4a+5BZKZxchgh8NmtjcGapDaA9uCmzIPs/MzKwLnQNCZJyhU6YCOhwsFkzRJ9dXNT/WJ/MrmmtKqkeH1eo6/KyHwcgCfcAa0ATp09smeEwqaYbG/3cR0fFqhgzRKoYGkAlGS+OzT0ZM0Bapvlm2CSFtF7LOh8p5Mzn7HhtTKByk3DzdZ3wPMIODxW6SDZkZC1Ge19tjPTdwYYMgkk+V3eptcAMZEnlxcXajjudv9VvbjqWoRPUtfPL8uDI9/f7cSa+4+Ov15FIh7u1VZU3rZaton1me7scBdCRTMV02pkN+5GsrXXx5+PH/fMpVKWnsEsqlsCmXrQLqn7ao8RkzolluAPTMXR0WB9C1mfPev8IAXEWZ2c9fCFc5JlhCugnhEE837wPzlHhMP2Qugp1RGzFDlQSzroGRkEoiaBzMikhrbYkAwOs5BgRUqGXSf0D8IRBM0aTnveTKbcZGjI26URy/PtcrvJz/OXzbK10Gs7X2tc/e9t38GXmswnuX9XmcY4XnfdV72m00d4VGxmLO9hwUkmKlIYimQmrXhS4FZ1jLi8rs4Nj4Tj9RnWjna3sZXEQJaLKsQMckTg8AOG47e2iyoEe2RJLS7PVKYVftMc9uMbycjEb7stvDiOLOznOSjpj+UIOWTArgQRnuLBQDlx/c/raurTUBalffdX72Sq5tVq1Hx1VSEI5bpoJq/PJpMBBOlbhFjoLzIpsDcdsblZ/ZvrqwkK/vn51L8fHswzD1lYHQIeHnaGaTHr7gKXptJ9/uHndsH6J+0rNClCmr4GmBHJZBtz72Te36SEwUK19/bjMkBFaGrIWuZK/r97COHqbaluMQs7R3ncbgcVLLGn2oXhzeExrs8LDIYWPXs8dLa0ksRsmMKtJtLfPYxOWlrqDydCBa29uVtnl3LDL5maAT2u10uX4sRSc+sJCVZKkcci9N1DashKY7INhqKi1AhUAA7ZEzYssjkUDoM+Wliq0kFkOWAqlrieT3m6FuBJ8YClOT7vTzloQnL+QAXAgDXRhocSaHKWV+Pl5ByjHx/2eOHZCU2ESDJX7TGZLe2xgdnzcf9bX+/+AlUJVnkeOHf0LAAlPYSyyCiwdToJeAE2bU9SZgMOzzDoamUmSIRH9hcFIjQYx6U2hj/voLYbf19cNidz3HLedd95MyGijvS02AouX2E0rpQwzZEgknbYJNwtatVYMQmuzKZE0FOojXF1VZcSs9UB4iAlIFoHokAMhDl1e7imT2AkpqN7nJKbTCkVsbFQlTqEEND99Bgdq1UlbkBoNbdeOBC8Az3DHzJ2d/t7x8dfrW2Auhk6VwyFuBCSAE8fSRHi9tf5s6CQUraKF0BfCAQDa4WHdG+YGGyF7g7PXxtaqXLdjUxipj1srlmd7u9/Ts2fV79vbBcg4YmPFOYGJ1FV4Bsl+ZS2KIYDIZ2KcYF6AD33ifJ5X1ge5ibUA8uyNAljk987/99Fb3IfxmOc5hjayFqO9zzYCi5fYTSuKoaYiJ5rUTrRWDsXKT/giHW1OzJlVYtKhAfj44zqvvSlaK0BCBMqpcHC7u0WDHxwUDd1araan09IB2C/EPibobwWZjo7qdZkv9rmwf0U6rdwjhfNK1oJW4PCw+mZjozZk8xkUvj5kzoXdEPpQtEsxKQ4XeJHW2Vq9L7MidSkpMsSMXF5We513ba1fa3Oz2CTAEhtiDGAvvOb8QhUcGMbj4qKXDf/kk/4a9gm4UMQqq5x6DsJk6eDdezIBeaxQRo5/49SYy/AewOh7YexnWnCyPK1VqBB7JIsnwTp73RTQ20Isr2LzOMdNNqafjva+2ggsXmJDYJGruRSuCVuY9LJiIQFka1UQi7PMipkoYZONvzkhoYn9/dkVurAFXUXG83d3K7RiS+7c2ZOjUCJ8a6sc/dFRrT7d72efzd7z0tIssABefI4DoCvIfszMlayVIEyQxbO0V7iDANQqubXZOg3o9kx5zIwQK381IE5OSpdgNZ3iRA65tQpnAFmyMnZ2Zqt6WokvLPT3ZIkcHVUdk62tYmfs/ZEMhs3Inj3rbTw87G1YXy+RsPvybHOnViBSu/RXvpdhPc4OQNEH+jfFn4BFhgkzW2oYvkiQ6H9hHcB4KJgcgovXYQ7m4cAfCgQ8BGAZbbRv2kZg8RJLEMFu01fk7p8mIZkcPm+FmZUsM5uEk8zzTqfdMaHZOYqc6BSP0j5iQmmWQg+tlUMRg7+8rLAHcSdxaQr7Dg5qYt/Y6MdmPJ4g0STp3ulDOLRh2W6iUY7PNTNTYDKpTdZSBJhMihLb7o12ZXe3QketleM+OqosEtcAwoC1nPgzlRRgE7I6Pi5wlUJPYJMOhAbGMxQqubqarZKafWh/EFkoCwvVj1tbFWbLyqsZ+sht6JN+T7DkmtozbB9LPUfWsBiGUpw3i2Rldk8yMrRBwoC3Oduh3uJ1QiJvm5BzZC1Gex9tBBYvsJtARa6gU2uRsf8sGGSljGJOR4JhyJ0mM+3RZ9H3y8s902G4crOqBDxa6593vtxGXDsvLmZXv4ACR511L8TpaTwUj+Lgzs5m4/36KbMOiD2xIT6b+3poV2YfcLStzRb8WljoKa4KU2F7nN95iFIViwIQpMp6vkBU1tugW9ndLW2E0Acdi/NiUKzC19f768+elfaGI1YI6/nz3ucJUBYWZt/ndGQG6VftJ/7lmAEcYDPfNy5yDAIKwIIf/aHPsmYFZ5hskWM88/yu5HEZVgA0hJBkIWUK7NBeV5swD03DbRqQ+9pDAJbRRvsmbQQWL7AMe+QKzKRoErUyt9JFw3PeJiA1J7KEM0cuhdN+HrmC3N7uzkEBpgQT+TdHkIWqiDUTwCgyBcCobQHIAEBZaEobABYOH+PBGXBgzGc4MwwB0V+Wrc6sjKzImH0NXFiZb2z0fsWwLC52dodehAMWFvH78ePSidB+ZIaJUMXiYs8C2doq50t/gCXibD1Lz5j4Uj0J4yCzKM7O+rnpDQAK4+D6urcT0DQuLy5KxCv0gdFI0af+lx2EydGvKZDUHymKBRaGISsALR1shvicJ0M7AGEyU8aB68mCehEIeN1VfjIh9wmJPET6KRuFnKO9DzYCixfYbWEQk1KGRFKU6T2OEluR7EWuGonuTFocxsXF7IqY02qtaGolw61K0fGAwdFRsQqAwsVFhUmIGLUdO6E2AieVGgLtz304Wpt1SMBHpt6mJoABYTQi6bw4eiGIBC9Z/fHx46pIqv8/+qjf88FBpWZyWNrDweaKX2ZGhlZoGGSMEFliiOzXIuzhHFbxGBphDP2vYFhrtf36wUEdJzvF8zfeskCXaqGYEAXSUuuRYQqMmloZp6c17vQ9VoYjTjCdGonUyXjdcxt+PwCr/Mnvl5Aa0JWi4pvsdVJQ5y3knCcISBZytNHedRuBxQvsJuFma19Xt5sMlUk24aSDGW4fbuWMAs4CVJwZnQSnZDKz4ifwk55qlSzDQnEoLICVsxDM7m4BhfPzTtu3Vve2sVHZGfYVob/I0tociSwMq+0McXBaQNTQKQFW6ZRkzbiusAnHnvF6YEqFTU51c7PCQZ5R7iGifVmxs7XZ7ddTB5B1P7KGB2dunOiXPNZKn5POqpmuo+CVsueZ2SHbBHATCkmWTDZR7nQqBZnWx1gBzACC9fU+BqTneo6tFTDL5wl03FS/wnPJsCBG6SbWwr1k9kxqNoYgYOjg78oezEPTMA/m46ZzPgRgGW20b8JGYPECGwKLTKdDS2cKaab5yQbJ1T1n53OoentkmMQda3WMaWhtNv/fhGwCt+oHKtR6WFio3U/pHB49qmtaJbc2m4ECJNB4YDKOjmYLVrVWTAnh3+JiZWAk+Li+Lr0CJ0U34lr6CeDQ70BJxus9I44z9RPCNrQYBJBYhAQoYv35zIUZFO7CaKRg0Tih68hiZ7nfh3YLr2So4PKyin5l5U8pnfpJiMvYwvBY7RM/JktmzBi/2pbhuMyiUYzt5KTAnnEB7HL6XsuVtmukbgX4ScHokLXIZ619+vc24PC6Kaj3DWfMg/m47bwZfh1ttHfV7oWLv/e977XJZNL+9X/9X59Tc94eS3YiHcgwDGICNzn7SfFjrsJaKxBwfFxUfH6W81O0iY6BRmAoigN2pE0eHvYfjoM2wwr+yZPSXHzxRX9f+4gXrSyFDZ49a+3LL0ssyRFvbdUeIbnLaeo0MDD6BLOQFTZVwbT3hvRYjvngoLXPP2/tBz/omoe9vX6s67Q2C25y8l9e7m1MMKU/sSect/ACIJDAQ8jk9LQ2IBs+P4BRGxJoeAZYnwSaCpa1VvcwrA0BrCwsVBsSPGQhrhwj+tn9pCg0S2+3VhVbgd40gAWTYHydnc0yJ8laaMtwlZ+hliGbYcwlYHlRSCS/m3exYWjzdex1rvsyy7nmdds12mhvg702Y/Frv/Zr7ed//ufbj/3Yj82zPW+VDYWbKar0PmCRojbiOqt0RZhy3wb0ea44/Vhtc8BZpGl9vTvZyaRCIuLxz593qnx/vypfPntWTMWjR5WFcHjY3+NgAQorV9Umz88rzZTT0o4MS7Csk5AhCf1HY6DfMrRDaMrBbmyUDsG+EpNJraaJLIfAzDPLMuraRVTL0fs8dgBwkN6b6a+tzTIT6pNgjoAiW6Lrd2NFmXYahoOD2W3m9bE+MYY4XH3oHICQay0vf30HVuERbVRLA3gFcoHFxcU+dmwOp3+SNWGpp9DP2pjMRAIqDjNDIsPwkHGBARwyRGn3CYncV9PwUELOeYdZRhvtTdtrMRZHR0ftj/2xP9Z+4Rd+oT22XH3PbLhiGAKK1r4eBmmthJBSNjOU4ZxZfMpOo1aVVrsocedeXOyviZ1jL1orx3Bw0MGCEIDKkIuLXcy4sdHb8PRpX/mLleduqfYZmU77+bAZnOLaWjlnu5ECAsO4OoeyvDyr1djaqtcBEOwHJ4ml4PDX1yuFEygQlnn2rFbvVuKcfjIJQI6Qkf7NzBQ1Kfb3y4lzbnQY6bjdJxGkglnApOwWQMjz144EUhki4cRpU4wvK/vJpFgPQCUrZg6zjtLZt1ZMEI2EczoG6MCWYbSSlUiWIVOLfUcS5OXrqSMYgoIh25Tj6jbLEMhdV/rzYAfS6T8EazGGREZ7V+21gMVP/dRPtX/qn/qn2j/2j/1jLz32/Py8HRwczPy8C5ahkNa+rq8wAXO6Jqd8zarUhM9RWZmbSF0vJ2uAhJAus0Myo8FKKUHF6mr/mx7gh36oCjs9e1aVH22wlY6TzuDoqAMTDhYFz4ZCRlkUmTbISQMfx8cd1NA7JJ0uLOE6wkccr5W0olwYm+yr1gpsZVw/wQ0gZVMv/e0HeDk+rtLlHDNH6LrudzKp0MXCQu+zL77on819SoRY9BkNgwwcgEzfuB+vY66yoBjNxjD7yNjI0IJxo1+A1qwPgnlLLUvWuMiMHkxIZmVkSqzvTAIR790UEknWwuf9JNtxk90nJHKfcEYySfOyhwizjDbam7RXDoX80i/9Uvtf/pf/pf3ar/3anY7/3ve+1372Z3/2lRv2TdvwC51f8hSKmcitiIU4MrsgKXGTP3FmiufQ2tJNOSXOcG+vnJLrC7U8e1bgwM6arfW9JbTZSpoDz/u0oyYwkymPjktHwzlzQlbQmA3XvLjo1/3qq7qXoXAyQw6uZTXvdameWdiJ6BXbg0K3QsZGpGDTMyHIdH7OOp9F6ium0/4+Rsoz39zsfZV6DGNgOq0CWxwkcWWWDj846Me0Vqt/4TVpwa6nTDgGBGOSTjLTdWlysF76OMMuGZLILB0C4RTfsgwv5bjI1NUEDsl2JGuRADCzVYY2vP7QXickMg8R5vC688rmeAhx6GijvSl7pa/Bb/7mb7Z/7V/719p/9V/9V23NEvgl9jM/8zNtf3//d39+8zd/87Ua+iZtqKHwd1LrrZUwTtxaFsCw0uYw/k8jYG+I3HvBao3zmkz6Kh3RA1g47+VlBxytdUerfHdrtWnZ4mJfRUvFzHoO19d95d5asRRKQ7dWYQKr842N7gQ3N7sOYWmpH394WPcttLG5OVsjIsWdWdkytzbPtNksHHV2VtkowFTWfMgsBwyMtnDUyZToC07VM6Av2dnp/Y6dECbJ8Famr2KKiFntJnt52fsGSJK2aeUPXMiMScZmWJ7cfeWutcJxeb90KFmwLdkL7dIX3je+ksFINgIAyA3NkrXwk6xGshb5HboJpCe48T0YXnveIZF5sAMPEboYWYvR3mV7Jcbi13/919vnn3/e/r6/7+/73deurq7aX/yLf7H9p//pf9rOz8/b4mCpsLq62lYFl98hG4KK4UQl/iyWb3VGT7G4OOsULi9rRYytsLr0OWJEcXG7hXLEhIGtlcO2fTcx4fFxP9/jx7WNtuJOCwvd8Vkd0nhwkpx+roKlmlqx6wv3mRuLZcqrawqTqAQKzKDahUOGYj73JEvD/dtK3Wo7a35kTYbr6ypCpa8wK44HYFordoNA1PmyzgewCEQAlBipFMK2NltXQjuFmrynQmaWdSekBQ48ixREugfPioNO8KGfgC39zmhkCFUzfdN5aFxaKyYgM5yGYQ3fG88v38vnm+DCeymEBKySxdAPSy+YtVKUedfV/uuIP4effwjW4iHEoaON9ibslYDFP/qP/qPtN37jN2Ze+5f/5X+5/Z1/59/Z/u1/+9/+Gqh4V23IWOSqK9P5OAMTiRUmR5LiOM6HyM9rmXVgwkStt9Y/I62StsAka7XvWKviR49KIGmVj5nILJPt7XJQgEBqPYRH3I9NxtwbXUBrs077yy9rRU0bkbUWkp3hwLAOQAvnbHK1CybQBUQ8e1YhJE5XPzpvCiIzROXeFZsCDIQSsBFZdGprqwAYwOE11+YAsRFW8c4hC0YJbuEmf+srmSGOBYJybDIOjbBW5pHxiWWYTgvcCFNllo+2+w6k4LO1WcAAZAAOQkr0MViUfH34HfN+OtEcEwkQfF+c9yZ7nZBIAqrXDT04xzzDF0Nx6BgSGe1dsVcCFtvb2+0P/sE/OPPa5uZme/Lkyddef5ctJz3/J9gwWVm1c2Ti4iZtlDLHhkrf2qoUx9b6a+lsOK2trVpFt1bXQcWrlCl0cnFRNL4MBSt823YDSTs7NQkn+BCX39qa3ZpbWzk3jijbhV4XNuFYs9gRRkNf6ceFhRKYZl9zSvoDI0OsmdvMCz0N9QLTaWkx9B8n2lrt58IZr65WbQaMlLYeH5fokwMHlIR3ABRsA8ctfVM/Gg/GSqayYrRSE4EtSVDnedGguLbPJAOVz8m9qh2SAlZ9jynKtFO6nxQwq1wKuGWYxP1muzKkmA5zCAjoj/yfeo+XsRavWjhrHuzAQ+giRtZitHfRXruOxftsJvOM7w4nQ6GDTNk8PKzV9NFR0cicFXYhd6+cTGbp6ePj/lu2hoJU9q2wSlbaWW2Cy8vu8J486Z87POxtEP5QY2Ey6WESAkNpr8716FEBE05yWEyKRkOoIGl+mgQT7PFxXdt5cpWqfzjO1ApYCevj1dWuXbCLKKEo9kZhqcxekPXQWoGALOvdWoU5Dg8rVCQExHkuLnYtiywOIODysveX83GM+lNGiayQbNPmZj0jacSpUwEYWivGCugi0jVGiD+FlowJIAlITHCaQlQAmbbBce4hwYk2Yla0T+gF2wQUDNmM/J4l2EgRL5DjtWQpjIcXOe9XDYncxP68qo2sxWijdbs3sPjVX/3VOTTj7bFcLQ9TyTL+nCmjHCVHnEr3nAiurqpmBDYDRU6kKDzA6XBQnOH1dXcodrHkrFdWegbI0lKBismk9p7gmDY3q6Jl7j+yvl6CRSwJB0IHoER3tpOwsrVZIAW4uD8OGqvAyXIiVsTD9NvUFyT4cf9Z9jpXtZlWqc+AoXTKwJBQwclJ9YeQQaZe6jNjw71Pp72fsC7Oo8LpwUHv39Zmw2t2lT09rXva3S1HbUtx58G+YKcAQ4A2t0j3fIC/zNjALuRmaJ4VgJT96jsgYwnTkufmUDEVgJexknqjzEZJxiKBe+o+MD8J3BKQDy3PdVeHnGDkde2+eo0XtWtkLUZ7V2xkLG6wnFhy1cOwBrm6zLTG3B/CJEtbQSfB0aW4Dd2+tTUbTsFy5Oq8tWJNFhdb+9a3Sqh5fDzrgF0XawIkcI6KYskqMZETEQIIWZ0RuOLE3QNAwjlkmerJpEIoQFIKMLOPhXc4tGR7PIOs15AiwqTjOVvny4JV+jiZhqyfsb7e2R3OUQgkhaAXFxWeAS6k7QIKmJmsdtna7H4v6+uVJuyZW72nHid3MyUIluarHHeGAgCL1Chw+q3NCjGdWz9mVVP9n4WyhiwH8OC5ZMpqginPz3NOMWc6ZkAzQzoZDjEOb7NXZRDmIcKch17jpnaxkbUY7V2wEVgMbAggMiyS8W66A/UEnj4typgwUPy/taLTld7OVXzG9KWHJiOSFSqxDYuLs2JNK9WDg/73o0c1qV9eVvbH8fEsJb69XaAixahi5lbemIsUI+bEm0DApC97IidDIMKGYkJC+thvDhjIwShcX1ep79bKqdu6HLuQIAjAo4nJ4lQEl+mkzs8r7ba1AhTOJ2yjlobPKH6m0Jj+3t7un5XeqY0qqUo9fvash7jW13ulVM7fmMssD+3AdgG6alwIzWGqMjxhk7kU62bNi9S+eEbGcgKCZCSYsZy6kxSzDlkLoDCfvfMniE1glf8DA7fZq672E+zfR8g5b4ZhZC1Ge5dsBBYDG9KgJl6ggvbAys1qTSzdZG3F7hxXV6VNyJ1ErTA5UsBDuWbaBgWyMB2c+M5OMRxPn9bqF2vCcXIyrjWZ1GeldWZI4+ysHIv9LHI1xkkQbGoPJ5nOjCPmjDjspN1bq+slA6HPMEKO/eijcjQAnTh+a7VdutdlfmR9iMw48Ryl9E4ms/oQNSqyvgKQoN9sdS4EZTwQtCojbmdSq336kM3Nqs2xtla6mtz8K0Manq17PD6uEA5w+vx5f/aLi9Wm8/MS2F5fl0BV/2m39g5Fl5iLZKQAX+Mrvx/an/oKx7qPHAv+z+yh3E3Xcdr2Ikf7qizE64RQbjoHG1mL0T5EG4HFwIZU7ZDW5FzFpVurQk8mfo4C9S5ebaXmfECD1S7Ke7iy3tiofT+seukDPvmk/7+/38+r6Bbwk9kHHPbmZq2qJ5PaqIxTyXoO6VCxJRyPe5RRYYUJCOgzfTnUNAglbWz0cwNIwAHny9HTE3gGSpIDNlie7e3qT0xB1q7Q/zJTsoIk1qa1YluEKI6OehvV8xDyAAhaq/sCijBEWdY9WQGsSWsdLNHVZKYG8EFTAMRtbpamB5BQt2NpqViP4+PeB5mCurRUYlfgKNkMWhjfhQz7JSgQltEfrRVQ1TbfCyAo2YwMbyRr4drZRz7ruQoVac9t9qohkXmIMEfWYrQP2UZgMbCkYIGMnFym09oHwyR7fFx0fRZs8jmpgIuLxVakUj6ZAE7FJKxktF1GMQUrK30PENkMV1edgQBKgAorc85GuIWzPjgofQenahW/u1vFlp4+7e1LId3VVe3MiQ3gEIapi1nOGxsDuGBeMoWRk8/Kn+vrtdkYp9ZaPZvFxapyubFRjhTtbsM4Ggsbqh0fl8MHelJ7sLtbTvuLL2ozNfd9fd21GFih8/OqryEk4jlIK8bAJFhdWOjXwkodHlaGTgpVrf4xHxnG2d+frVrqfOfnVScDmDo+LvEoVsDzAIK1F/gCBhIkeW6OMRaG2iTjp7VZhmPIWuQz1S+Yj8zQ0q6XAQvnexVR5TxYi/vqNW46JxtZi9HeZhuBRVjGVlubFW6a/Dh+9HhrRSUTPrY2u0LlQFubnQg5i4WFqlsgPr2w0HUSMhrstWHF9sknpbk4OenHYjQwJhwoFoFDwGLkKh8lvrnZU1YVagKWWqtS38IcwBJqmpNrrQAT46yFMziF09PZHTlzwuRMVKBMqpwuA8CQ5kqgCsDt7BQIWlmpmh25At/cLEDF+QKMwlNEo0dHHVxcXPR+0q6FhQ6ycjdQICydoueg/DuHrC/1zelpBwWpc2itVutCXfp/Z6euSTS6tNTvbXe3UqFVY8Wm5WZ4nlHWBvGbsDczJ1IrAVQa15lJgrFw/8Ce8dxavW7MGB+AAFDjO5SpqHdx3gne7+Lo58FaJDiZl42sxWjvgo3A4gYbxlmTbrU5WK7iMs8/Jz95/gSPJvGkdLM2Adq9tXLe4vzeX1npq2NajePjSgFUiVNc2oqaIzbZW9UfH8+KEu0BQgyqFkdr/RpYBYwCx6mGg9X7sM9am039zOwYYI2z5Gg5Hg6HLgBIoovQL97f2qqQjfezOFZqDzINUupmUvjaoo4IBuTionZ9/eST2fj/+nqVORd+wNjoF6GGZDOwHtvbVQ1zmGFB02BcERBnpU4ZIlibyaSHRISLAF5j1zPRz55fMkbAqbGbwsmhgDczRfS575Q+EgqScWJ8aEOCEt8l40ufcKrJeNxVyHlXR/+2shbzPudoo83bRmARlpMZS3q2tVk6Xbltjs9KcEhZppPymkkVS3B9PbspFAd5ctLDFYpqCWk8f14ZIJwdZwWsLCzUxl8rK5WFIJyQ2RTb27X1Odqc0/dZEzPGBrXP8aR4Ne8n4/GEhfl69u2wQFMKB7EKgFqKZ9fWqn+EM9ScePy4hIjAARGie2itsiuEnIS3MADLy31jt4WFzlo8f94FtdimyaQ2GZO5A9CdntZKHttiDAAM0oSFZwg+sUbuOdkC4y7reCgbLvy0vFxVSxMQpIbCOMVqpOYkRcZAMZCQY9x7wI5zu5a+8JmsseFYzjJDHa19PbU0gWuCo3kKOd9W1uIhzjnaaPO0EVgMLFXpqRnwHqdq0iZmTNEetiJj1BmLbq3S5jjG1spxSk+0ayinvbzcWQOre5oAjsqKmdMW59cG4Y/W+nGbm/0zuYtnlhnPFES6Ek6EToPzTaACVCQ9bpv11EXkihcgy5W8ZwGYcVo2W0tA4Jm412RxZEtoGycrHHJ9XaEOYSlpoPv7lca7sND7bGurf/b4uPQsCWwAn+vr6iPPV5hFGEg/pvDU1uqnp5098iyMLxu7YVOERDyX/f06N5Mlc3ZWGT6ZCotFubzsxwA1CRZTF5HhCELdBBCAiGdNd5F1NbB2qV8y9pJNSseeTJmwEHsoIed9Qg8jazHah2gjsAgbruDyJx0b0aWVJtCQTjPLF2c57wwVyGywykT/r63VFt85+T56VLHq8/NiOnLSB0CePavzyWLgvG0KJqUxnQAnanLPKotW04SPqeo3yds+3SSPzTCZC8twrhlusHL1eX1tW3LPQj9bXQMw0ho59tXV3h6fkfGQz8d90RxkfQ99L7ODU1xdnU2/vbrqzAXg55m79s5OCWlzg7V0avYSOTvr7Xz2rPpejRFMkyyera16VhcXdQ4ZPIuLPVSDwVDFMzUSGbITMhJuwYQYr8IX9BicuvodyUZl9oZjjPl0iFlILkG9vz2nzNzJcyRrMfy+3mavAhbmIZgcWYvRPjQbgcXATB7JVKQWQOyexsHKM1dXjs0VtMlxMilnbmKn0L++7mCBBuDoqBiIra2iqmULAAspcGut9hdZXOwOkAmTAAbLy7NVKW1I1VoBJo56ba23obUSeiYFjW2wYs0CVJiYpPQ5DcclsMkVrRW5ME1S7Llq089ea600Bs6Rgttko9yLvgE2gLzl5XLgV1dVDwL4ur7u4tqLi54949kIYwhxYHKApNzBdWWl7woLGApb2dZcQS39jMmysjf+trYqVLO0VGMoU3tlqxD5YtYwHyk69b/z+4zXhyGTIXjW15415sXz897QYScjkSXAAQmv53gwNl+mtcj37hoSeZtZi9cFPKON9lA2AovfseEX1ESShko2kdNXZEnq589rvw2OSqw/J10rUUI7K2paAgK+1mbDCCozcth5Hf+j8Xd3Zydv4YCkyIUsUrjIWWELFLxyrizlTQRqkjdpypARxmhtlqbO0JDP5dbnxKL7+7Pl0zEgVsycXoox0+mvrdWKX9gJcDHREwVmui1np/2KVRG8Ymyur3s7V1db+/zz3o/CJtgPq3nMgToZwB9wpVqqZ3521gEEoNFajYnJpDMXGC/gQH8+elR1P37P76n7z4qn2uD6skEAsRSecogAp/7gyPUtBitrWGCMMF6epedv7GTtk3TCyUh4JpnSnTqoIdi9zYYsx12ByDxYi3kBgeynMUNktLfJRmDxO2aVm4xFrlJStOh/ztNEnJOvVV2mzXFqVp90CUSOWVY7He7WVoENe4ZgFjhJGSGunTFyjjprIJiMZZ1k9sfVVVXkHNZdyHh8fi4de2sVluCEOdkUbgJb3kOz5/Gbm5UqOZ0W3S+cYgUuPKSMuLTL1ma1J8lEeH7anCXZrawBN+wHRqa1Ap7Ahb4GCKQApyM/OpotSgVsqYTp+dBmCI+kQ83zZSn4zLSg07i87ABE8TFjLfesMe5yTCq0JS1WWETf0HC4ZynMCSKBuxz/rdV1AEDfkdtYC6EqACRX65kh0lqNq5c521dd8c+TtZgnsGAjazHa22QjsPgdyy/8EGS0VqWZW6sJ2WtEnMlKCHXkajvFkCYpjEHS67a5fv6810pQG6G1yjDgoNPZ0Qns7tbKkONGobs3zkPWCYdLoKj92BgA5/q6O0epqBzR5mbdP1CC1eDstFOGRoZD9AeKm7N3bkBFKGFnp1IrW5vVcAASx8eVCSFcMtRbcNCcKMCoHUdH/ZrAWWaLGBf6CVPlszI2Wiunf3raQYft7YU1WitGyXhR2yJTLJ0fmwT8tFaAivPb2enPFvuV5bFdW9E2AlvC1MPDAhecNcBCO4KV8WyHLEGOv2QSsFKem2emb333Wns5a8HS4fsuvyzs8CpCznk48Xlkmdx0zvsAntFGewgbgcXvmInMJDkURdFXZBiEkzKZ+3KbbBUgam22amJWP+TUsQC2v+YIaQQ4ME7k4qKcgAJXS0sdVCipnCl6Vviuf3bWry0DYGmpVrWyRUyC2oE14VgvL6sCpfai6jmR1CEIZSSISHEgEMPJtFZ9IbV3WG3Tc+J8ZYzs7hbLoCJmrpiPjmoVLnskAUzet2qmGI9MI3VNIY3t7d5ezjeBpjbbCyZFtXQxyq1zylgjq/Odna7nyDGSJcudk4Pe3CwmyzNorepc6Dtsj9CX8BxNUTp4mUiApbHiuBR3Gnfam8emLid1F+l0h6wFBglAMZaAH/2c9/oie5Vwwjyc+MhajPYh2Agsfsd82XOFOJyIcyVNZ4AWdg6TvUlW+GDohNP5pHgtqe5Hj7rGwISRn019hgn70aP+umqWHEy26+qqU+P2ttjY6D9W7D4HGAE1R0dVGtrqdnOzaHjizEw/TeDAieeKn8OmYxAWsprm2JPqp3OwWpaRkEJPAAXTwPkrrZ7MUfbR8XExBslqfPxxF2VeXRUoxB64RtbWEGZJlsn9EVRichYXSziZNSkyNZcjd9z2dh8XABSn21oBHn2f4yrTcDFHHKTQUdY1sT+Nc3DqKSI1jre3Z1NWAQlC0NYqvDXU3NBZ6J9kDFsrR57hjwRqQ+1CApS7shbOM7IWo412fxuBRfs6O5GvAxqEmlZcXjMpJg0shi9dkHM0sR8dVfgk1f6EgdT9gAddg5i++HvugGpfD4yCapEcg31EUO9e29zs5+T0XSOFqTQOrfV2bW2Vc85ValLVrc3S9JgcDkRMHpDg0IWGlNm2Am+tdAzpvIhgOXMA0Aod+9Ja/1/tCQ4UG5C1QJwXq6A0dgIOzsF97u11YCd8sbVV4MLz9zxOTzswmEwqayezc4QfAEziz4uL0k5Mp/0c+/uVrdNa1coQntG3yYYNgaDrAHqYiwRqHLXnKLPk9LSALFHwUEfDcSfAMs6wGwBgfo+StQC4gH7AIsGFNgJ4zvcyB/4qjnlkLUYb7eU2AovfsWEoBFuBdUihnZi4lXFrFUO3iZOJ0nuPHpXDWl7uqYW0FepWcNCppM8UyWyfNkwm3bEAJibsFOQBAvQRttYGBlDurZVznk4LTBBN5j4hNBoZuqFDsJrlYKxC9UdrxTa4B8cCCFb1BwfVR5xilsdurfQpmYaYoSQZDCj+BE0Z8si0xgxz0GzIugFmXEvNEOBAW/UpB0czIwR2dNTPj3UYOmPtybAR4LG9XaJVTAuWx7MGkmSkAMXAhv5TD4RAmSZGtdUULKcmQt9hOxYXC6imQNjY8B0BktP5Z1prOuxkLQCgdMrJOKQ+Khm+1u4u5HwZwzGyFqON9nIbgUWbZSxS6Z8rb4K3yaSEm1T7mVZptSRrorVa5Uk9FV4QTsiKmDIy9vfrnOm419aqGmRrfRU/mfQVs+vv7vb3AAgrURUoOQYOhhYkdQhZk4N2wkpdZgMn71wcQ66S/XBAwBjdBHDDGTvWivriol9vb69W/WLsmBzPZXm5RJtSKz07Dk+xrbxX5wEUhLKAJ6ByY2NW/2B7dkAPSwKMWOljZ6TFfvxxf1+YC4gSCnrypEIrxorsDeclYFXWHTPlOaaYdnW1hLqqexq/WRK+tRqLdA0ZZpDx1Fo57eXlfi1pwcIr6dgz3DJkM7yf7/kOZriDw8dwDLUWeYxzvqo4cxhSuc1G1mK00V5sI7BosxOniS2/nByUiS8zRAALTtIKUebG+XnR3SZvGoFcJeZqzuqP8t/qc2mpr46dh/MQWllaqnCBDAYbch0e1kSc7MDCQj+nSZyzRcVzHmhu5wAsWisnDMS0VgBKSqdVMQbDxOxHumqKRre3K90Sk2LfE8+NhkXRsdb6/dmJNfUy2ZcAkPPcJAQE/k5OamMx28TrP4AEKGqtv4/d8L82+Sw9DNYiM4eePq0NyYDMrD+RzAPNiD1eaCyy5PnycqW+6j9hOeEFegm6Gs9YyCPTitMBt1bb2ef5AcnsX8ASCDQWXDtDcQlKcpxo71BrkWGUZC0eIv10ZC1GG+3FNgKLNgskchLzRQUE6CJy1Z2q+Cw8Jd8/N+k6Pq6qmpub3RkcHxcIMbGpB2By5sw5odZqbwu7mUozTWqfw85NtDAUk0ntJYL6zhXy5WUJO52LyNRkrt0cBkoc6HJ9WgdpjVaemcZoRZ9po9fXFQZxH+kAZYpwdvQNtAiTSQGSq6sOrpS1TqaF0bykyNR5T0+7wwc2ODIr9sxoAcY8Syv9paVKfz056cDBtu6A18FBFcXSV3aPTeYH2+A4Dndzs4AmW1npACWBmoJbzq+Y1uVlb4OQDXCZYTxsgeOFinLDOwDHc8y0XEDL9ROwZ3gMcMjvKfDu+5fsiGNSa5Eg6K5CzpG1GG20+9kILMKGq1ZxcXUNptMSPmadAo7OhClTgwjT6oqjWVoqdb4UVitEK+3MehDXd20OhaORIpj088JCZXMQIKY24vi433NOPlJos+T3MGTBAaCjFQ1LzYKJNosjaWuyEuhqegwpna6TWSEZHkkwon+s1lPPYeWsXLlzSBe20s9S04Cjzbk4042Nqvkh1Ze2ISl7znE67ayDsBXNzOJiPwcQurs7y5IIje3v17PVp9qToQLOEAi7uOhgRYppCjh3dvr/zo39SHaKYDO3XU/mIBmO1ma1RUJGyTrcxgJiAI2TvDfjw/cMSEtHjg0ZajRYMhgPEeYYWYvRRrvdPnhgMaR1TW6+oLmrpxg4ShuAsOprrZgJE6e4ODqdhmJ1tTa3MmnLkLDCb62ElOpdoPRN/KurVbgqdQcEkFaWJmvgRCxcHQQahq2tfl6ppByCdmSmQKZUAi42u+JwfQaQcF8AisnUJMgBZ9qoVSZHajVMzJjUt9CS/lTXg7OlrzChHx1V6XMhrCx81lqVaVd/wrhQB4JDs/rWPpO7VTW2aTqt4l2t9TCF+6JNAX7cU67IFRjL2iQM06UfgOGVlQ50PB9VLPUDcEVkub8/y4YY/8Yn4AosY5aEvlJgm6GlZCc8V8DA/0MwkcxFhrKS3Ro6er+HrMU8wxwjazHaaDfbBw8sWK60UkiWhYVQ/MIFuVNlpimi/3d2irrnhLENWXRJyETIIjeNssK0Utzd7edCoT9+3B0Uant1tYMQYQeCRuGABADTaT/3xUVr3/pWORGOyQSdYYgU1wFNRKi5V4hVttAEJ/r0aWVLCMEQCmaVR/3jHrQjBbJZwdN1l5Z6nwBQhIwp5LTCtj/K4WExPrQK7oF2gCiWwxf6SQYmQWGGwoS+rPSBp+EGcpwpNkHGTRYME1bxjBYXa9wkMMB0CPuot7G1VeGqoWDVfeunw8PKOHJtz83zNbaFpvJ7keGMIfORRbd831KEms52CCzy2hneSBCRzJ33551++rayFvMGK6ON9qr2wQOLdKC+jDkRmpCXl0vFLwzCoRDQceBWYECE0tNWhqurs5kdKytFq1vpWeFKK11YmE2bVClzb68c2dJSr8ooa8Pk7X/sBkbj6dMS52FdkmEQHlhdnS0AxWkw/dPabH0HDoOgU99akfusa9KBOHeubFPsCugAfMIwwNJkUgxF0un6L8Fca8U8pSCSg5dNYZWsn9W5wMIAKsAWIChDZGGh6xb29qrd+/v9/S++qI3MhMByO/jWqj6FPmltNmsI85VgKvf/oMWhEaH3IXoFYLwPdKU4ObU2GYoAwI0jjJDw3lC/NGRhfO8ArCHT0VqxHYCGYwG81HMYU8Pwy6uIM/McL9NlvG2sxUOAldFGexX74IEFM0GkY1TMyGSmGJCVrAmBQ2itilo9elQrsFzFoYvFqKVFpqjRRO1aGcOnGwBGaC0I/549m03BJC5dXOxturzsu3Baya6ulpA0V3gmaA5FOihHv7lZwIvj4pzoH2QycBaAFWdg4h6u3IdCQVuE57kUVZK5gEnQbpoNbMbGRtHtnnNmLahvgfH5+OMCXdgqmhtaD+cWnlAUTX/p/6OjKmJFd+EZKXKGUfK5FHwCTsngYCmm02IhWiuma3+/AGc65CxmBWwkUyLEQbuibz135/Gd8TztK8K5np3NFu5yvPYZJylaBi6AkrR8rkPRpu+raxhXeeyrshbZphfZPFiLu17rdc85AovR3rR98MDipowQExMa3IRnAs0VtklSaWmqdhMu8adV4WRSsW/XtxrlRFrrzjQFbjIDpK66hjDC/n6VVvaea9rc6ssvS9chlGDyTyGqe8JCJIVvlS+kQOSZGRGLi0XNpwO3kvLDCcgi4PA5HX1s9Z6gr7Wi4IUNgDfPL+l39wxkpVZAJVOOlOj18ePWPvqoWIpc1bdWAkm6FCEM44lYNc93dVUOH/vjbwDCXi658gSgVCIlEsbiZH0L2gwhk3y2AJt6HPZMUQBNxkdqVbIqqf439r2ewAf48Azyx3NPfY3vQYbRAGr/59jUL0PxqveAoAQYGc7J12+zN8lavMq17mojazHaN2kfPLBo7esiLysdMefWyiHn6lz2QGsl2nz+vCopij+bzNVEEGJorbIlOPHWOkjI0s52G5VBwJmoQ2DfCCp+IGRxsVIMsRmcsUJTlPzuW5ycQ0qFP6CDPWitgJR+5OQTOOVqk2PE2CSNng6ZQwPaMivFbytk5aeFkjLLASDJlW3eLweV51GQSvYM0AEIZBYDZilDOUImu7sFxC4ve5iKmHQ6rXvWT6lf0a/annoEIKO1ApPOJWSEFRPC0n7XztoT0nCzLoe+ABaykqo2ZYG0BDa+Rxmi0O/OYTwlK5ahjOvreoapf8o+AhBvWu37TDrrBFfZjtvsrs55ZC1GG23WPmhgkV9kE4hJp7UCAcIOKHyVEq3grZCsPL1n4jZ5clAm6XR4Vul0D0xBpp2dcmwo88XF2sIcIJAmKSNlb6+/rjKnlTVQkdurt1abq+3v1/VSD8HZ56pQ5gxLUETU11oxHxxSMhcmPkWwTIZAB+1CawX8nj8vEEWgafWKJQE+rJaTDUkHylnt7lYIJDcFAwa9pmZGpl9mSu1kUtqW7e1+X0dH/XUpyFn9M7NJMC9CaZktwQFvb9eYPDiYvTeZLzlGZfNkITYptHa6JcB1LRkqqafAaggFJbjQjwCO55Pfq2QihJRSoOs911DDJBnFZB2GYCFDIL7jjtN3PqPfX2R3dc5vI2vxEGBltNHuYh80sGhtdsIwKQIF0gOlPaKGMxugtRLDcVTo2NwZkgYgQwMmziyVbSXPqV9eVjpigorptF/z2bNqh8wDq/ZnzyqtUSlve5ZYEbKrq7rfFMdlPBzLop2pk+CwVIvM1SkQkDqGFAAma+L4DDnoR+ACSOD49LkiTSZpGTmtzabOAlgYGU7HM6JBMLlvbs6KFIlblfQ2PvQ1nURrlfIKsNAiaLMVOYEpXU2GA4SatBMYzMJhrdWW7UCJ/lUAi1YEsCDm/eqrPlZ2dnq/ZIgp+49eR5YJQCxElCEo104nCZhkJk+yV/rcNZOZyvHmPX2W58pnnc7ecx/qMu4S5nhXWYuHACujjXYX+6CBhQmsta/HdVXInE6LqSBU5EwIGCeTcsomTnUYWiv6PydR1Q+BBSEWEwF6eGtr9jgTaO6QKfaemQFfflnHqVmB/cjVHEfJudNsiLln5cXWih5PVmVnp2h0YEUoST8AKxgREx3wwTmqB0IEyYFY9fqMtuQqNTUNKHnnaa2EsvqKQJFjTyeerJMQB6fN4SZI8gz29mrc0NKsrvb3Pvqov28juN3dApQJRoWMaHaAqNSGAJPb2xVuA4qEQ4AJOpD9/dqOHXjY2upsxfl5Z8u2t6stzu15OheWZ6h7EW5QFbO1AkAAOfAAnPuOZCEvzxhDhB3yXQRoEjCk6HSYcdLaLKOTYZe7ONu7shEjazHaaN0+aGDRWoGJXBEtLMwWq1I0aTKpCo65WrLyzfh7Mg+tFVDhlDK1bmGhsknSuVv9SxkkPlTQynXE1IUtFOKyOl5enq0Aqs1ZgEnMP2tSmOg4ChM2vQhNBod3dVXUfepIcvXIyUynVd9Bpktrde/CGvQsgEfqEjwHDqW1ak9ey+paO4+OOhjKWL/2YBuIJxU3Aw7duzAXbYWUY9vT09eop7G9XWEDuoYnT2oPD/1ja3WgJPftkOmSe7S01p+tMehHGCL3LAGkgC7OfHe3g4qDgw4+Hj8uxkeJ8GHoAdBSqM37CUSFMxL0+t4YFxm2AFZTl2Lspb7D99azAxiGOqnUp6S9KmtxVzZiZC1GG63bBw0scuVuouXUxKTR45yTYwCI5eXuJAALEyHHlDFmBY+yUBZdhRUdDcTmZndSdsYERDAV0jltib6zU/cku4ETJOrkqKxCOd7NzaL/s+ATsJWrMI7dxGm1nBqV1GS0NhvqAHJkHtAESH/kdGSrZDluRa68vr8/u+HVykqFA9SpsIoGVDh9KaCqhB4fVz87npM0JhLgbWz0cyjLnloI15QGquQ4gPH0ae1Walv7o6Oqm8EpZwErgIIzVZMDuFO0Sz+pCprg19jUz1nJdWur19PY26s9Z/St74NnTwOiYJzvUGvVBumzxqJx3NpsRkmCAEA5M5p8b7AWmV6cbIQw0dB5ZpbIUGuRx89LQ3FfwWQCgXmJLkfWYrQ3bR80sGht9sub1HvS01bOqbnY2pqNEWcqXu7/YXLltE5OZqtUYheIGlH6eX7hjbOzHuIgblQt8smTAjxPnxalv7k5G++3wsY2LC1VW4AJx+gHq85Mo1UgCwPDeQAYqVXJwlq5SZtVuHYJSRwdFXjI9NvWZkMBJkts0nRaVUSxEWL67h9YEI6x4RchK53E48ez275zjPrMeT/6qH8+24D9IloF3vLawKXy4JmhkdulO56expg6OyuRboIcG67RJHhONBmbm6394AfFLGBZgLvNzf75g4MCXJ5ThgoBtxxXmTIMZOeeI8lC6J8MmXi+gAvgjfkCHlL0OyymhbVorY5P4DAEvclavMyJ35WNuKsm40WWDMPrFt0ano/NC6yMNtqL7IMFFongTTrDVXiWgSbexEpYgQEWBItAhOJTJkUOOCl/BbcyBEMAyQlzoqenfUXJAa+v9x+6icXF/j5q+fHjmngBmsmkskvUtmitVrSyO1DQuVU3liVFipnlkpURsR6TSW0BzynQJqSyf5h90VoxEASbmIzptDZdw9pwRisrVdEUg0PjIJ306qqYBFqIZF3OzyvLhsgTEPH8hcqIMt1bako4TftycGQZziL4lb6bdSAAFGGX1koXQb+RfbO9XQBYHwIEtBRSU5WIlxnSWj8X8eveXmvf/nZv3+ZmbTdv5Q9wGzsEtGq5YDTyPjO92bji5I19wD61Qsac8ec7kqX2fW6oq9C+/B4NRZxD8PG2sBZsXkDgvvqP0UZ7FftggUVrs1/aVLEfHfW/Fxf7ZIxmtto3uavSaFXMkSZbwellKh5KWapfa33C39zsDsCKm+M9Oprd4twmYRzL4WFvhwn2449nQwCHh7VJFEcmYyJDJ6pcymwATMTI9/cLCPhc1qNobXa/j8z+uLjobdQu8fQUTmZGQ078HE+CkdZKM3B93fvt4mJ223YOlzPP8z16VCDSXib66vq6P4PsJyyDbAmpvlgX76W4VvgMa6RU98HB7Pbnxl7u52LlO5n0zzx9Wn2MHcgaIrJOPHN9QX+xuFj1UNRk+fLL1n7P76lnRJORBcUwbClKTp2LMSlbKcNnQI9xrsw4oC7Uk87es07tRGopWitwoY1AA4fpfEOnPGQBkrEYzgc3Wb73Ir3CPFiLeQOBkbUY7U3aBwsskoI1sfvbxGiCUy/Aqk356+H/VqtoXOyFyTQ3/9rbq+tY7a2tzVZ6VNkRzS1bw+rv+rqzFEDL8nJ3mO6BoJO4Tv0N93t+/vV7a61Wy5gcYQIrYpO/VS4HaPIHSlqbVf07VxY2yrTODKNcX3cnn/ueCEVkBkqmL66sdOcFHKjf8ehRgRzXIWa1pwhtBnZoYaFKoOs7jkg2xxAk+fzSUm+LfV441YWF3o4nTzpQzDLoAJvVvZW6fhWa4bAz6wITkMBRP+ez8Vw+/rhf//KyQkFZYAtwTD2D/jPOPXcakAQSwAVNjp126SRokFL0q2ZHZntoDxsKNTO7JEMzQydqTA/DJvdhLV6mV3ibWYsRWIz20PbBAovWZldHJnGrds7ZSt4mYSay1mYzB4QTWFL0SU2bQK3arL6kI5rgaA3E8DlNwIKmgFOjqdAmmoaMLaf47uBg1jlZ8XH2rVV2Qsa3bdGe17Ai12ecbWo0rHb1u1BMrlw5JRNy9l1qO4QkCFqt4DP7AXNydlY1GuhCVlaqCiaHu7LS2g//cD/24KCu/ehR0feuDZjoAzvLJkCT3kuro/DZdFqslGMvL2dTKnOMETMCD1dXfUy4LlDrnpNZyyJTxmcWzbq46MDro4/q9Y2N3tajo9Z+6IeqDRiJZN+APamudCiZEQWUnJxUPRXgZKibSMCUgAGA8N6QoQBiUneRjjPDIUNnP9RZ3IW1SA3EbazFPAST8wYCGSoawcVoD2kfLLDwhc2sBzSxWHs6VgJGK8e1te7YaSYI2lorsMIRnJ6WJsL/VoJSFT/6qM6jENfRUa1qfV4sX0aClTqNh3BIpujRL3AKWdyIs2mtVrtAAWfPYYjL64eMiy8tdYc8rCxKFJhMhL4WR3cfHLMV7M5OUfMpCry6KjFjawWg3IP2cL7X1x0wEKna1AywW1+vzBTpnkAJ0KF0O+BzdFThBSxU1hqxY+rubnfei4sVgjg/r3LfqbVZWemvJysEpGmfLBPZNa1V8TPPW9VQDl8oy4qcaDeFsipvttavJXwmxHJ9XYyC7wc2THVXgCprSQB42JisY5GA2/cmn2GGP1qb1UGlkHT4vW7t6040x2oCgiFrcVdw8TLQcFcA8iJ7CCBwXyZltNHuYq8x3N8vy0kqhXwmQ4r/zMm38gU2TLomtQwdmNCtGvf3y3FgKlTDnEwqNAE4ZLEqk5QVNfCg6NH1dbW3tdm497NnVZzJBKrgF51HvoZx4Vj93BbiACpykzb9u7bW2iefdPDEoQIWrZWmAvuAAdJHKHMTocwZ76Xj0B6sk1TXDF1wgskAHBxUP8i2SRAGoGgfMHZ52T9Lh7OxUeyD0APBbGv9nF991dpnn1VfYYhoezhj2gZOL9M0hYk8Z/fv2voHKyF0pn8U/UqWC5j0XI6Oast4IBS7wjlpP2DpOXLggCm2J/cwAUBzrLQ2q1FKgaaFQLIN+V5rdXwCjqHeYhjKGLIXQ7AyNNd0rhcd19r9WIt5nCMtwdu8zjnaaEP7IBmLnDyskMWKMyyCVpZHnzFfdQesdjjiFHH67O5u7VgpvILKf/SoKHlaCjR8TtomPQJKxaWsRlsrIR1mYTLpTmw6rWwSAAowWVur1zAGHE5rNUknTU/Uh9r3GY4bo5GiRABLZkNrFQZx/syeaW02bTJj6t7jcK3gOUbP6enTCrdY7WMy1FvgZPSPUJV+xUzIsLBSz77c3u6O/quvetuEjNw3RsF4oAv58stiqxTCwnR45ktLVXRL3wKuBweVlQJMZAVYY4L2x3OXrZQC0mTejHFAMRkq4AQwyMqjrpMMmbRWIM126pllZIy5v8xAybBHZoewFEomqPE9z+98HpvhpiFQuEn4ObQ3xVrMQwh6U7tG1mK0h7RXGuo/93M/137sx36s7ezstJ2dnfYTP/ET7c/9uT/3UG17cMtVEMcqJn521h2RNEwrORMbWpjDMBFm3v3Z2SzbILThc9IVHYsp4OCz7oMwDeeUKanuA9DgYJ4+LSBDP3J8XBU57cKaE+32dj9H1gjI8srJfKDEc+KUfSKswHloRwruOFyrZ4wIh+qae3vdcQNcmS2wtVV6jd3d7oQ5O87v2bMSS4rtn593xy4LRr8oLqVNycbQFOSq3njY2Oj3liW9MQjuFeCjq1lerv1ePJ/T094mz0oITCgqtR0nJ/0Zc+jZp56xLeHVt0ixqXGjomeyY57TyUmxMSnMpGfwHLIGRTIIQAsGJVOZhZWIhX2HWpsVGSfbBHSkQ0w2K52lzw+df4Y8ci7I3+8zazHv84022tBeibH44R/+4fYf/Uf/Ufvb/ra/rbXW2n/5X/6X7Z/+p//p9r/+r/9r+wN/4A88SAMfwpIK9bcY+OVlxbwzY+L5814bgqJdXD9jwcIRWbWTs/3qq1kB2s5Ozw4QfsAAcMBy9Xd2qqy0lbxUSRO1mHlr1X4rLytVbcvaECkM4xh91n1nCh8zwYuxo6eFi7Kglj7OipI2XbOypdsg7Eu6W+nxZHqAt93d+nxrdR6OVRgg9QWcNa0BJ5tsymTS+3Nzs4DcUMdBsMlpb25WCur+/ixrw6ly+piG1B+0VlU5Ly/7eAFuPvmkVvmuTSeiKFZqMoRt6EdSI7G2VhvXAdPuX/8ShAKCaqDIkknGDdBzrPBGshgyedwn8EFIm0DG8al7ADKTWTMuhzqLIbAAeozDZBDy2CFQuEuGyF1Zi5va9ip2l+u86vnuy6SMNtqL7JWAxR/9o3905v//8D/8D9vP/dzPtb/0l/7SOwUs0lJ0ySmKD0v3zElGWW0rSGmCCTSsNh8/7s6CGPP0tFI06SpQxFZsJydVT0CRK84eK8Gpq1OQ9LFjTeJWkuj51kr8mCp6zIPQRGo6Wpul/a249Z/rZd0HYQcsRK7gTfCqfhI+unZmMqj7cHBQqb8c0GeflaYh6XHn8yPtE9MDSLmW+hFCWABPtt1+GVme+lvfqtAVDcpHHxXbRQOhgBrwIdtnd7fazCkLi6mf4tk9elSMCXbF8wYcja9kJog8Dw5qrCgHLmwiDAQoYFNaK9aHuJSTTzEnQJPjAeOgHUAOzYvxenRUQBeL4T6znoZz54IgQyXOmboLx2XYyvO8yanepMV4WSGsuzho7XzZ+e57nVc956izGO2h7LU1FldXV+2/+W/+m3Z8fNx+4id+4tbjzs/P23nkYR4cHLzuJedmOUGZSEy0JrKjo8oK4WDEpYk4U6QonKAaZNYFODycTen86KNaSZpMM6WVfoKj5dw5Wyvyra1yBgAFR0drcXlZ23vLNDHZitenhqO1fryVqXCLtEGOAiDDHrRW5+SUxP0BEZ/FPmSI6fS0alYsLNTurLIhHj3qTIBMEfcAdKyull6E2NCzNSEDMp7XwkLtF5IVI4W/VlcLCKUG5dmzKvy0sVGVPIU9trb6+wcHs9VVpQrTfxwellN1vcXFDliMjYOD0toADR9/PFsl9fCw90+2kVPWBzQfGxv9+R4c9PYAbJ4jQMX8j8Gz3TsGwTNfX6+N9IxZIMTYBRaEv2wsB5hnKNF3Dss3LGrFwSagyO+3MZBsVY5xY+CmDBHneFXW4rZj31bW4r5tGm202+yVgcVv/MZvtJ/4iZ9oZ2dnbWtrq/3yL/9y+/2///ffevz3vve99rM/+7P3auRDWVKi2ALMgji3Y9DnVuLDPPsshY1ytmskNmJtrXYsRb37nGqRmAqUP8aktZroWqsNytSk4IiwBCZvToI+w+pNG2WNLC52p8OZpQjVCpKWJCd59RqAEytVLIYJUdvpP/Sl8w9Xc54L8aQVb2Y0pCNL/UUKQjMMBBzRLAA8nDZQ6B4AjfX1AmjCT54L9kDYxKZwUlSXlmpPEOmmGxslDsWUCHcZJ9/6Vu+Ho6N+n7/1W73MtjZkNgeGKIuFeR7GZ7JSQjdCbc+eVdlyz9DYfv68mBVsQ44B/Wvc5b4vrg9oJrOQbNDBQa+ZIdQDtBDeJgBIxsI5sT3JYCTwwEhmBhFgPFz934e1eJGDvq9g8iFYi/syKaONdptNptNXw8DPnz9vf+Nv/I327Nmz9mf+zJ9p//l//p+3v/AX/sKt4OImxuLTTz9t+/v7bceGDm/YrHixFGLa3/9+j8mfnLT2m7/ZQYHJ+OOPaxWadLNwglXp/n6V50ZbCxNsbbX2Iz9SToWz14bptK88VYHEhrRWGQxEkZyJAlocAgeMjlaPAwjguDx14MMjyslZnNwKkm7C+17LTdVMmq5FADtcXXJ0zsPRJ22efWNVLDTAmeR+Lq0VqCEgba2YKDqPTBmdTmu31em0NAutFRBsrcSP19d9DKgBkUyO1bxtx1dXZzN8jAP9Q8MjXOFe9D2NCEHp5mZr3/1u/+z+fg8FXV11xw9wEN5q7/5+aVo4tQSBrfVjgAs1UT76qNrz5EkJPFO46t45awyWcep5G4uKfPkfOFxa6n0GtLVW4S1sXrIKQAWA6JpD7QTAmnqePIfQHxaF5bmEeV4EBoYhw9uOzTo3rwMu8jrzAgL3bdNoH5YdHBy03d3dl/rvV2YsVlZWfle8+eM//uPt137t19p/8p/8J+0/+8/+sxuPX11dbaty2d4C41CHim61KlqrQlKcXK6AW6uVU4rbMutBDQO7bUqH/KEfqlWd1bpy34otARUKHLVWAAGdLEzz1Vc1+WWtCcI4m1y5Pw5cyqS0Q9fPdNOhg05RXW6QBgwcH9c59BGaP/t8+NowRq5CJoYkQ0aZRksYqRpka91pcVwctFDKdNrPrc8zFHZ4OAtwJpMKhwhhyATa3OzgLwFXa7MCxqzSmkWggIdkvJKtUj+D9iMdZAovv/WtylwBLB8/rufsXoBITAPgiXXQLkDVmNaP2AhMzNpa7SODlVCT4rYQAmDhO5DHZNhlGJIDJvTVTeEQx2SGTrI0ySoOtRbOk8wGe5tZCzav8MV92zTaaDfZvetYTKfTGUbibbcUbplwOHJpgllPAi3MAQEZKWLz++Sk6O+Dgyq+tLXVGQ+bi1ntoo2JMbe2yokmJdxa6SuUqE5x5ObmbE4+GUtmftj90gotQxUmYkADQ9Baxd9VmBTWSaU9J8PBc1pWwO7BdRUZM+lzaMvLvW+GVU6FjOx14p49i9YKXOkjQDGdHCDiudPMWJUKWwBWakVwQJy0sFGm0bZWGTKAG0YMmCM05diNLc8TCKI5wPQAI16Xsvz4cW+vrc4fPZpdbacIl5YHeOHIs2T45mbdtzDLZNIBspRegGkINjEZmRWEyciQIobBGFpbqxCkkFyGV2SY6OsMAQBuwCYwgXXTppsEmxlWGDrW19FauPbLtBb31UnMO3yR7R5ttHnZKwGLf+ff+XfaP/lP/pPt008/bYeHh+2XfumX2q/+6q+2X/mVX3mo9s3d8gvEKZ2ddQBglXpwUJN6hgFyO22rIytXEyUHJU1S6OKjj/p7zi0b5OqqO/3Hj2cdgPi+9D808rNns+WUpRaasKy+W6vMFNqGLCLFqbRWE7NJmkPww3lm+h7hXVKpxJrpFHN1iQEgrEu2guMQ5kBTt1aARjuADPoHfZ7VOFurzcRoJJKp0L8EqpNJbZRFe6Dy6ldf1aZlrVUobHW1Kp1iffSJZwdk0pYoKmWlvrZW+gxgUh8AM7KGgBzbxq+tdTDxxRcVohMG4+QzRVd/uKay3a2VA8d0YDtojoAZgNNY8KwADWOPGDWdtQ3WOEb9hOkyVjKbJFkWlsfpL+Chtdk6F97P78hQo5DjcHiNu7IW+ZkXAYv76iQekrWYl3ZjtNFeCVj84Ac/aP/Cv/AvtN/+7d9uu7u77cd+7Mfar/zKr7R//B//xx+qfQ9iqeI2mXM6WTFzOi2n5DixYfQyyvj4uDsfzkb54t3dHgJRDElcXZjCXhri+xzA2tqs49zfr+wSMXkrucxAEPNeX6/U0NYKOCSzwbkhnHIlzbGleM4KkIMR2kjmRpvE+V3XSp7T4ow2NupcrRWAoAPB8AA7mR7LcU6n5VQxF4AQJ6YvUjCZRZqAIgAB6LJC39+vLJzM4Mj9XzBPmX5KaAqA0olwMkIU2uIeON2lpapYubRUG5DpMxkpFxdVbwI4bG229oVnkBuXOaa12tYckDEuFQlzP4pvJTuir+h5vNdagSPPV38APK3N1sRIoCHU0tosw+UzxtOwvHvqLrKg2hBc3OZQ32bWYt7hi3m0abTR0l4JWPwX/8V/8VDteGNmEuRwptNadQoPcFioak4Trc9JZLrlyko5lefPuyOimZBtgaEAXlZW+spYwSPvyfiQQiilEhhAZwMEX37Z2yrd8smT2VVbOjJ/5wqxtaK3rSQ5WxMqBkEfYDkwGPooS3fTSbRWmReZwWHFq3pmaxXGsEJcWKh+a61qJ3BOx8d1PwAEQaNraQOmAegZfpbGw/80FzIuOKmrq0rbXVzsnzk8rLoQwgdXV/1Z2DF0cbE2+8IG2QANeMgN26zUV1f7WKDlub7u5xNW2dysyqIbG8UMcPRCXvo/N55Trh6bBTxIhZUiS3fR2qxo2XMBFDE+gGmGKVzbyl/oIyt6CiEBDZ43wJpj2N+ONxZTv5NhNu1urcBIzglDR/3QrMXrAoO7AJhXsXm0abTR0u6tsXjXLCcdqzmOXhiEw8kKkibEXA1bgR8fl7aCKJNC/9vfngUTJyezO1murpYY8/S0qkk+ftzPf3hYq9R0AJw3Z9Ra1SgwGef+IAk0Ut1vYh/WfTBxqQ+h72gxOAwTO5Bl5UeEeX1dsfuM98uWOT+v7d+xNGLuq6v9fj7+uByvlMx0tsDg8XFpVQCs/f3qc8BoOi2mJFM2sSPA5N5eZfhgDACwBKRSi1srBkT/0oXs7PSxBRBxzMAMfQk2JBmyR49a+/zzAnQ0FwcH5Ui1EWD17BUY8zpwwVHrM+0ilhV6ESbCzm1tFZuTTBY2xjO0+yxnjOXTL9gtLAXwiJVKcahjM2zm+saYvsrwTGozAI9kKTLr47ZwyBCcz5O1uI9O4qFYi3lpN0b7sO2DAhbDEEhrpYWge+C4zs9LxW9SylityYwjyLoTAMJHH/XPcYrOn6t0BYrOzoqpUL3x8LCvRGWDpBMnjLQy/+STfm7ZGdgMGQUmaWDJqt+q2DHJQjiPVR5Gg2PMCTzDSiY6Tlgog6NL1kfKKMffWtHs7kc6q8JTnBCnnODk88/7++pACBkBjnt7xRhgJYQKOEx9MpmUUzbxcpJ0El98Uf31+HGlAF9d9WsRvroHTI37ANYwTs+edSABQFr1K8jm+WHHjo/L6a6vlxaC8wUMhWo882SkhFBsGb+9XVVngZis3+F7AAwCdYuLfTwKu6QAVGIYIW5rBXaMHRoa4TWv53cQGBimXQIoOX4zDJdZMACGZ+G4m8Idyeq1Nj/WIuek1wEG8w5fPIR2Y7QP1z4oYNHabIwVOODkclWcjhdNa8J+/rw7y4wBW0nSOWxtdQeBrbi8rD0kiC6zNDMxHud0fFzbXXMAAICVJaexvNyp8VyNcWLOn2EUTgnQQH9zXpnFkYp+qZy5UmytJvJ0hsJJYuApGnUv9CrCK66tzghWAIhSk4FTfv68SmPnPhwXF/1194qx4VwAHSJbNUI4IbQ+1geDJYxyctKf7cZGZ1P29srZYWpsey9kgqUiyFT/Q/GsnZ3KKrH6B4YAjwRwwj2XlyUq9ixpPra3SyyqWmoWa5Plon/1g/AKNk+9CONduMX4ANxogwhAM92W9sV3Lst3t9bPSewsyynZisxEMuaG2RH0GwkaZPhkhtAwjdVrN4EBfydb8TLHexennyzZ6wKLh9RajMBitPvYBwUsUl/BgRC+ARaZMpn6isyc4GiVdF5f75O7GPjOTms//MPlUFD/nLsqj0AC9mJrq5/H7qFCCCcntQpcWuoOg3BQtkVrVUfBfWlnZiFcXVVbrq+LvsZiEM+hq4kTrTSt+Ezi+gTrYsJLcSDQYbXJUWXM3DHi4SmoxYTYQ4QeA8vxxRdF2W9t9fsD5i4uen9ltgqnA0AILWW9g9YqFdh44Cg4do5BFUur+GRJACOgcG2tgIhnJVvD8zLGtrcLfAoPeb+10uFg3TBlAOfRUbUF8ACajfP19WLsCFiFMWSyaCuQJdzhuXtfuIToNAuqARnABeBwdlbhmWTDnB8ozGyf1mbDIslmZNijtboP33PtzDRW4yCffVoyJO7nrnUtbsu0yBDLfVmLh0g9HcHFaPexDwpYtDYbCuG0Ub6yOc7PKwVQHDxz9DnmXLl7fXe3x/ZbK4W9cAcWI4EM9mJ7u1/3yy/LAaHgrSRNhrQP2sG5u6awiVV3TrgmOkxBaxWCwDA4X5Znbq0m/9ZmhZmZQWJSHxbsmk5rdZyTPno/62Nw2ulYWqtYPMAju6G1ckZra6UDENoAEvWzapYAi7YMnYtaFTIYMutif7+eaYYYkjrHmEhjBkZ9XlXP6+sqXe4ZtNazieyRcnVVZeYXF/vfQOHHH3dwRZCaDBdwtLFRKbrAJQBpjABKQAggpzibY2RA0UMACpgBDFRmkCRgFLZxn7mrrO9F7m8DlLivBF/5fIfO3PcTyBGq9B3K9gCb5og3wVrclyF4iPDFyFqMNg/7oICFL7mJySSJPTg8nNUaDFeIrZWzlbZn1XN01CezjY0OLi4uSjhosrVSpNRP1f35eWs/+EGtqk5PS6zpS84RyC7AYthtNSldYAHLwcEI8aTTzzCBVb44dGpKvG/iNvGkg9LHgEL2HQCXVSudA1Uv9JMx84WF2iU2mY/hDwfKsWGM/AgT/J7fU1oIgsJkT7AQaj1k+qf+lcmhf6QAb2zM7jCrZoSS2QCtfh+KBhcWql2Li138u7tbzh6IVe6blkQYhWC0tQIlQiLYNXoU40OVWKAJYPDshkXEMB9CgAnuhA2BV2PJuPDe1VWN+9SO0IgAZfoL6EzRMPMMfAeGzANwLtUb22bMavewtkpaCjxdcx6sxX11EvcNqTxEm0Yb7YMCFhkKIQqT2aHuxDA2Kx5t9ZdbbLOnT/txjx/31SPA4rxWaGj3LHAllv6DHxQtC6BkCh1HbOJeX+/OyirdSmxY+Ec4wV4S6i+I38sg4djTmedELtyCrk6qGzDJwle5LbtVY66ks/qmCb61miiTqZCtAzDow8XF7jwnk1ldhloQNBD7+8VItdb7Tcjg5KT/ry3JPk2nnX1SyZQ2Qz9y4CkQFHoRAnv+vF/r8ePakC5FuPpeDQvP+/S0Qjwff9yPzx1MMUCHh8W0+O0Y+3DYNn5rq/9WFEuWh/RQrIhN8DY3S+cjE0ebjQOsDbA1mZTgFnOVOokszOZcQAEgb78WWgvjH1jO9OZcLKRzNfa8D1ALv7guViXDe7eJONm8WIu7gI+X2TxCKre1aWQtRntd+6CAhS+wiVcc/uys4vImFxNTa6WcVzkRFZ+rc1kLVmEnJ7Xl9cZG0a4EbtiKy8sOKji01roDaW12hQQ8SHfd2yuqHt3MQeRmTjIgsAPYDZNYTrBYmnRcucLWHxT+QgCt1WSkYJXVJrCSqYX0BpmxMlx5cdR+pD8m4JOi6f4Ur8r6II8eVVZNa7W3Bt0Khkjf0mioxHp+Xvu3ZHaF54+ZoGkRQgIYnz/vwEVGi7Gk3zlauhHP+vCwn/tv/s3+ms/Lqnn2rFKO6XYwIJy5Z5JVUhX58nywAzJrHj3qfbqzU+Eb/7vfZJWEVYA53xcAeKjDwTxkpdGFhSrORVAr7TfDeclaADnJqGVKs7Gc7Ibvm/GUIuI8/21OdciU3AVYvAnWYt5AYN7ajdE+PPtggMVQW9FagYWsL2FllvRua7MluH2B19a6JsIK/OOPS7dhPxBCNxMaJ7e52f///vdn6VkraSuoLFK1vFxOwsqQcyYkBYis0EzOVsgm0NaK2rbid79Z0XKol2itQh+Zlmki4hw4Oav2XI0m4yOV0sSbIrlcdUrhBESuropBQMmrM8IxtVZgT1VU2Qf6QS2LyaQ0DI8e9bZ8+WU5Lp/XL2dn3VHROmB1aCWIazk4YEK6sX6WqgzYbG/3czx+3MHj4WFrv/3b/X/PFxuTgkesGCCXGoLptJclB+aIK40JQBeLBSDKbvrqq7oXYznFncap4l6cu+9OVnJl6lp4TX967kdH9V3JPWqS+bJvivGUWR/O42/vS2/NujSZ0eRebnLQmW0CCMyDtWCvCwxSdDkPewjtxmgfln1QwKK1muys9DkhToXIz+oeAMjqnMRoaPmtrU6ZW43aDt25OC90v9Xg979fTnx3t+oXZEy5taJ+pSYmjT4svWxyzlLSWAqrXc7OanOohbCKxX5wlN7LkudDtb9VKFCjLbkSBDAAjum02uYzyWKo7SEDImuO0MZ4xvodvf70aWVmrK72vscMcVicuX4QIphO+yo+mSe6Bf3gfKklkGLKEadOhwMDklIL47WPPqpQEpAq2yiflT5yP55Pa5WObCwZB5991kGKbB+OQ0gE00BYLPx0cNDblQCd0/c8hOIwK4AltieZNN+fDA35bgHGwm82nNM2gCFDgxgIfTOse9FanV+7AJUM+zmX8fomWIt56CTuG1K57XwjsBjtdeyDAhYmBDF6oj4VLq32rNZSYIdxsIpeXi6HtrlZ2QEHB+VYUNRWxCjf4+MeP7di294uDURS6Zz18XFVcEwKl8Nurdqb2gdCuKTZUdjAkhWYlSwNRu4FwWFb0XGimANAISsq0jqgsbXDKtvkd3xcYljOwueAJxP/Rx+VQ8gwBGBo9Wylm6GWvb1ygtggWoAMISXQAhqAGePB+e3MubxcYkPpmPru6dMKsQBiMoyEbgBANTlWVmrzOCEugCX1JPqU+LG1umdjQ1u/+KKeoVCEeiDCDcCG+zS2MQPPnvVCbFnPJTUJgLjQYIaOPAd9JkslBZsAKiALkOljzg5jAtgAgwkUMBcZNhPOc61kCn0HjK38TFqyFjmvzIO1uI8jn7fockw9He0+9kEBi9Zq4iDikgqYK3AToVXZcP+KXPEoamV1+/Rp/3tzszsmG3G11p3L2VnXVFgZPXnSj1tcrDaIIWubyVksfnGxaHGZDnbk5LSWl4u+5khztd/abIlrAEB7HWdyydBHWlYFTWYjqXDUNuYkM1KsYhPAYXGAIA6MI2ytrkUAq2S21Ewr5HRYmBb3AVhK+2ytv76/X+W1hRykynJY2gsoAnr658mT2jTu8rIEoxleYipmClkANsJEwg+eZRbOmkx6zRRVPrPYm6ylra3+/9OnBRpsNAa8bW9XkSxAGBu3tVXalL29Di6MO4AEo2e8CG1sbhaAxTDQdwAFk0mlwnqu7l9fYyAAMsAAMwfoZEZLVvUcij+xfZnBktd2nD5PG67mX4W1uO3Y+zIEDxG+GFmL0V7XPhhgYaXMeQl9nJ9XtUaOzupQaW2shklraamKCAlfnJ52h8T5Wwk7n9j+558XnfvJJ31C5yykS7ZWzAcQpBhSpleqAJrpiOj31moils0itix1EmCS3gpMmewBLP1GcGqlyHGnowUw/NanrRXo4CiEP+x3kir/PM75cnMrzEICFKwAEMMxZ6YJQJghJeLDbPfZWX9W6jUInQGenN6zZ7PsTv7+znf6fX3++Wz4qLW6H3VMvv3t7rQPDjoAaK0D1tRi6D+rf0Bnb6+YDc/p8rKySra2ag8ZAIkY8+Skj9vcrTV1FtKhbUSG5THGtA1wE0YyZgAEf6eTpQu5vKydfxcWqtQ99iKZMde0os4wnOeaFUgzgySzrBKAZGVP2g/fu5vA9BBMvAprcZsgch6Mw5h6OtrbYh8MsGitvthWbGoZiKFnHnwW1GmtJgQr6svL2qDq6qo7GMI9bIJVn8naqvLysgs9TcAmRFuFZ22NxcXaQ6S1OifgY2I2mWaclSBV3QFaBk7JJJRxaityDkB4hIOeTksMCjC4Hmekr71nNZjivSyUhT3IST5LU3MIqRER+0f7S9nU/ypWtjZbMjy3Y9/ervDJyUltesbp2ABOsTRlujEVzq3PM+3UHiJPnlQaZ2ag0GAIb3z728V8YV4AyNb6cTaZA0pkHi0t9c97dlnYjYMGdIUdVOmUykt/Mp3217Pmw85OH7vYl/392QJlWUDL96W1cvpYMI7cePEsZecoTGds2XkVe+f7Bwy7Rop2vUeUbOwAhxkSye9opllnwTBjMS3BUc4tLwMWLzr2LlqMl9k8Qiq3tWlkLUZ7FfsggEVO/K0VYFAqmQiwtfoyLSyUoA+QsEo1ydlwKatr0kYknYrNsJr6zncqNp7OT8jAyhYNnTQzmv/b3y4BIzW+lezx8SwD0VpN5AAFRwtQ2StEW7LENxsWCcoQAFDmOo7L0EhrNVln+W8hJffIWQM62AR9JX0XK3F9XU6RVgH4IcjFfOQzzJCJ+9MWoCqrXSp/7d4fPy6NBEee4Z3cbRVoOjoqZgnAODvrGSjqoGCYpJLqU4DCOS8u+ueOj6umCT0CJkcbnjypZ0z3oW+xPJ5V7lAKWGDc3NezZxU60T+tVeaSsvO+e4C5fkpBpVAK8ahxQ+CbheIylXV4rqGmI9msZFB8LwGVBL3GSrb7Jkd/UzjkZeZ78ZCsxbyBwMuYltFGu8k+CGDB0PxWeoeHtWW59630UccpUqPLuL7ubMGTJ1WGG2MgxNBaCek4p9b6Z6yiOGaZA1bZCwu1lfbhYTmh1nqlRY6AvgHQOTioyTiFelaGVuKt1aQjHVWsmk7DpAvMAAQJvGxa5vilpQInuSolrnPcZFJsjT5trWLuVtxZvyAdBSFrrizF9MXu9bcwDzHtZFIrbc8sV7bGAJ0MNsUxaodcX89mh9BBWGVzbvZ8UY1V6Oyrr6oi5/Fx1eSwHbx+Ey5prcaGFFpjK1M+9d/VVbVfCW41Vnzm2bM+njgN+pWs3aGfHj2q2h6pOQHWAB7CUM/LpmQypTY2irnBThHtYhKNydZKEJrpqkC4cZKvGRMZysjvouslY5LfhwQeL2Mt8neO+dvsLqzFi96/i807fPEQ2o3R3n/7IICFL5qJ4uCg/xYqsNK3KrJKByJMRmK98v6V7cYwqCZpNWWCpXOgqF9crO3QARYr1KWl2rVS+IKITpaCapsAEWFdaimk/OV9aVtr5ShzjwuUPTAyZCg4AJ8drvKEU1qbTS8VS+cEMpbNidByZEw+wyvu13GTSWUgZMwdJW712loBJA7z8nK2uJgN4NS3wIQ4n/oVAJ4aDln7INM+MQKuzXFnwa7V1S7idV95TWJCoE35dsJcYQwgeG+vRJWeWTroi4v+/scf9/s3ZlUdpaForZi81nqf6POPPqo9VmhzMEOZwaHNMj6UNM8qr8Cp/lOsTJgD4AMWjo+LkRqKgxPUAc7pXAGuBMsJerX9JubBmM7wTdpQ03AXZ/4yRuG+Ool5hFRetc2jjTa0DwZYtDarI8BUPHs2K1ZMMSOnlgV/xOk//rif49mzCltwujnpJagwCT97VitCwEYGgth+axVm2N2t9hGq0YjYeIrDVQZZ+qlJ0YQjvCHWLOxByEdw2lqtKtfWqi+9ZpLheFwnM0P8T+DpswCDY/UxTYVJkbPxHkCHxVEgDPgiQlS98dGjKknNeR8dddZod7f6wcoXY0ITY+xgMXZ3+7GAKQAArMl2ODoq7URrvS1bWxUu297u96FehSqaJyfF5HjOAAnnu7DQz7O52dv55EkxJcfHs2EkoRTsiVTYTz6peit7ewXCpDx/+WV/37PjYB8/LlYNiMLmqDSaJbuxDWtrlV4qNEVAnMwU1kK7M2MIW2YsAwUyQVKUCfAa/4Bf1hBJ8ab5IcGB3wByslvsJtbiZc73ZWmc89BJzJu1yDaPNtpd7IMAFklpoqeJNq36gYvnz2u7ahN2xkYVSXr+vKv9iROtPDPH32eePCkWxFbW3kfT218CALi+ru3Us16FsuO2ac8KgmjnLDJl5Zzxf7UJTFwmdSEEE7XVpf5JbQTwYtJxPZqJDINgIVKHYfKn+2itHINtxDkY2QLuj0YidRvDbJnl5Q40tJ3js3oX23d/AE2yUp4PZ6jNnD/n2NpsldSdnQKuQJqMks8+qzFj23uOnRZD+fZ8BinY3Nrq4tAnT2pXXE5b9gl2A6jB0AkV2WX35KSHZYAKGSSHh73/lABXNO2jjwrQEpSmDsGzlk11eFgCYN+LrH0CtMrEwOCdnPR+NFaEOYBIG/AlU5ar8xQgJ7BIlsn49WyTpeOYXTPbkDZkKu6iRXgZA3BfhuAhwhfzZkFGe7/tgwAWid7FpY+OKs308nJ2m3QiMsK3XOWoMfHll6VhUBFRuqQQytVVn4h9KRUGaq3U+K31yXtvrx+DAiYMBXas2LJcOCfmMybBLMfNsWxvV12DdO7pnKVn6jMrT5MlR5epf66bk6FrX1zMxu8zpDQUPHImJkEZBgDfdNr7KPUcnIxrcsrCElmuWxrks2cVDsM+YaRkWBwf9/5fXCzHfXAwS9kDfvottR1SM11X/xhjT5+WjgIgpeXI7dk9IwzH3l49U/2SgDAzM5Srz8Jk+p5GyLgS/jK2FXWTfeQ6xqUMKEybtgIJAAIWZWenv55pnUA4Z53ADQBMxuXycnZ/ELVaPGvPH6DSH4Au4OeaGSZJIIH5yLGVYH/oWBNYZ0jkvqzFfRmH+4ZUhjZvFmS099s+CGBhIiIOSwGb1THHzRkBCuK8qPnHjwucmIw5o42NEvRdXZXmwuqMSPPgoNgS5b1N3uLvKPrWit2QBUIkKRUv20zgh5lwnNCDCVnFxUzFTLEmsaiJOanQy8v+2wq4tZqMTbKpO0gAkzoCaZBZQ8GzwhRpt3aZ4DgTq0Niwdy7Q4rsV1/1PrJ61gccb7bHhmF7e6VjALgS/FxflzDTyhaYATRsuS6TAjMEqAjHSF01zqz6PYPptHY4xVgZU47PMMCjR/2ehdQ2NkoA6dkAOpgHQsyFhc6EJAiT8ksMurs7m71kfHLcxoNn7bsBcLRWY1ZoDIPmOweUDDUT2mjPFaDE99f30eIg9x9JDYg+TGFzgpMUL3uegAWgwYZg4r6sReok7stazEsb8RAsyGjvr733wCJjptNpFeJRw8Jk1lo5s3TgmYYqhPDZZ/XF2tzsYGJxsUR7uZpyXas5G0tNJpWfDwRY9VlFZRlpojnAQz0GsXMrP0DCbpicYGvFGrhfwCoddorwWpudSE3eaH36CqACCMvskVwBcqwmbqtSjkUxJ6vwZF84NjH11uo63gcSp9MqPNZabejFGS8vd8e+vt6ZJ3tRON/Tpx3wWe0L+zx/3p32F1/U9elr1MHg3GRgYFaEvLLyZ2u1qvbsrObF9FUSnUw6y7CwUDUuOEbPCCNEv/H8eT92MmntR3+0wJGwUKYVY8awMsYnQJ6ZOru7tQcLICnNlMhSWAGDl8JmZuXuGQJxyTrIaAGsiW4zHJbj3PdAu4FGrIexl2MIeMn5IjUYmW2irxM4DMMhzvMi5/syBiC/j6+b5nlfcDK0ebMgo72/9t4Di9ZqhUubcHAwW0DJRARUoIhzglQhUWppa+VQ6AKslEzYJjOpgXt7dZzMh8ePy6lZucrT5whVO1Qc6fKyRKcmPWBC9oVVHNq+taLc/Tb5Dut0pB4jV4pWleLbGSZy3YWFEj9iFUxww9VgtgE4I6LE2mQ2iXOJx6u1MJykhTV2diq9UzonoCKWr++xRViYp0+L4cIMqeUANHBsBJCpqUhdgfCM0Nri4uxupzKMcl8UY2lzs7cbaAWw1NMAlNyH+19e7iJNY/6zz4ohypW6e5IBIx2bs/Y9ACQVk9rZqYyUH/3RAnXSTo0h+geABljGZiUw9V2cTvv5f/CD6j9t8p0E9AAVbc+QpUyULDvPMeYYNK6yzVkOPlmh1mYFpK3dzDDcBVi8SLcwD4Zg3uGLebMgo72/9t4Di1x5ixnL5jA5p6hQqMRqRQjELqUEgbnPgQndpGalZiW+v1/ppFZkk0lVfuQkc0t09LnJ3/lNzM6fKYzuFXjiFEyInGlWLxwq//WVc+Vk4jilvTm/FEymowZaptOqisjRpHBRfQgZLpwUR9RaVcTk1DAAjsliYOpCEDWqCSLT4OSkFP6YC8/gk086eEwqngPM6oyetQwfoKG12YwKQJBDFupZXS1NRdZLsTcIoGEsKAf/ne9UZdcsM58AVvhlba3f++ef9/v8/PNKeaYL2trqfQTYcfjr66Wv0GasmwwSG+kJq3m+nLnx5Pl4BsBwMiGAToaTUkS6u9vPBQC7Hsec1T8zNKRNxn9mlyRwSBYJM5Eg2Hc6wUCGRIZg4i7O966sxX2AxbxZi3mfb7T30z4IYGHykL//9Gk52BRlUdSbBE1isj6++KK+UJlmKGY9nVZ8nxM+PKwS3VTonM7hYWcshFxQrDavGjr81sq5EtIljX19XdksHGA6xtbqnNiH1goIJIDJyRk4MVFxamovYG2AiAQh+jdZDO3IAltWyFdX/bivvur/0zRkcamMnXNgKqheXvY+JV4UTpFdg76/vq4y1gqYPX9e9ULUBslaF65nfKjVkNqN1ir9V1hgaamfNwugZUVQbXEPu7sFQE9Pi9G4uOhjcHe3SrkDxRygMQ8YbGxUITeAi8PG0shSAgRz7Bsj+/uVygwc0lPYa6W1ft4nT+r9DEFia5Jl83yEvvTN5mZ/3sAh1sLY9x1zfguHBAtZXwMrCWQL9+X3/yaWIGtftFaM1DBMcZOTfRXW4jatxX0Zh3mEVObdptHef3vvgYXVN7Zif792r2xtNqvA5JSOlagwnTPB5eJi/W6tHDOHcXBQ6YpElrkKVfBKZoFMkWHRqtZqMrfFOi3HMMc/xWbu3ySeeovUD6ROIcWc+g04y9UdvQS1vokrd1TVfz7P+ajemNkBrRWQWV2tokruDwtzclIshX63As/0WIyAvktgBLAk60Psd3BQ94/1APys3O2mCshNJlUjguMBdpwLYNGn0j+vryuLJIulAa7pSPf3+3Vam91aHtuSK2vnBeqk00rd1W/YG+02hoSACDcXFnrY41vfqrogdut9+rS1H/qhGh/Hx5X1srJSNTPofnzvsH4AGYAOzO3s1B4n+plYNp2y9vh+etZAChBibGQKK0BrvGeaNGCeTEeyFsMwRoYR7+p8X+T4XxYuuYvNI6TykOcb7f209x5Y5EQur1445PKyMhFMNICCiYRYksI+V1Yo4KTJ6StQuM5BO4C5sNryOatV7IPVp7i7kAemIWPOJlGr9yyZnGEeeoUEEpw+toGgNQWUOUGinYECwAfjAiRp95AuTu2J/iI+ba230QTt/ieTnhUhC4K2wSqUniHDDGj7LNqEOVAPo7Vy4EI1ANHSUj3fLFwFMOSKGwshPDOZFAvgGjIgsFa5upZ+CrxxavrMZzlZz0o/S5E2lhOETqcFhoyTBBdElUIysjXW12dBred9dNTPS2ti/Dx71gWjrdUePDJ+pMfKfsr0Uf2foYnJpO6TYNcOroeH1Rfu0zgienWfnmWmiXLgvgNYn1xMmDcc61zuNTNwEmxkGCS/Ly8CBC9z1PNkLeYFBEYR52gvs/ceWJjEzs/75PTsWYm6UgtAByBGTQAmhZEjNwlZZZn0aTBa68erOcD5SPF0TqshMeoUMw4rXz55Uo7TZCdWfRNzYQJE2ctWsBLMGLEsjtZqEs5iQybSBDFo+SwsxIlqs3vOOheu5dyOyZAJIWGq8rNglNU9MCAFFCDhZDkY5+B09BlHBHQRipqAsQTPnpVTVtbaZ6bTiuuvrZWWRvoxsKfvW/s6qJtOu5MEXI2hDPukGBI4cy9ZByPBZWpJ7BgqO2N1tQMEzmF7u9pm/B0e9o3uJpNi3TyfjY1i7WRpfPllbTyW2Tf61UZ/WCxtBnaF7DAvnuvGRj0vabrr6wUOPVeATWiF0DW1HI4ZhkmScRACMh5zDOX3QX8BwPlagoC7AIIXOep5MAQYmHmFL15FRzLah2nvNbDwRVIX4fy8x+7F2TMrIjM7TK5Wc1lt0urUSjBDHK2VKBSl31o5/wQa19cVKvGlt9q/uuor3kePii7mmDhmq9akzcWQcwVvNWni8ls57BSuJSjJSQhQALiEB9D0rulcSc1z8iZr5wCMsq5Ba7OhHPdlsjd5cyiZAaBqqRCNmgucmfd8LsNMVvbp/OxxsbLSxwwn8+TJLDMhXAF4PH1aq/MUZrbWnyenloJQIaSzswrRyUQSptBfnrn+kq6MSTFOhwCOY3Zs7n/SWgEU4PTqqoOLR4+K8RMiOTysdN7d3arJQmQpdCQF1zMn6jTOAF8FuTK0BjBkuAoTYrO27e26VyBLppdnm2Jq/We8c7jAAuYkWQbfA+9nCCRfy++Rz9yVKXiZo54H43DfkMpt5xuBxWg32XsPLEwUilIdHs6KI5M6BkAWFysezIlYDVuNpQjThKjMNmq2tVrxSVk0SRMymshbq5CJbaqFZKy4TVgchdXScMOp09NaZWbGQU6MnIdJdUi3DrNb3CtQILTEuQshmeAxA66B1cmMG9qEBHPp8I+OZq8HzGxtlQaDAwQa9Pf1dYkNrbYBSG1WKwI4U8/i+LiPlUePeltl7xApcsKYh9YKZCp5rW2ZmkjkSYuxsFCajtx+XBqnZ+OaT5508SZwh2EAbDxvIEqfpYaDuFKoRygHEAEw1ZDg+K2q1U0RDlhYqJRYAk2hn7OzSr/W79hBQCfZBc89dwgWrlTzBCj2fUrgbXx43sZxMkwYTAxjhkN8D4Ebxxv3CQqFJFOPNNR++D7dRTj5Ikc9D8ZhHiGVhzzfaO+XvdfAorWadA4P+8p9f7+2f+acrq+rSqJJw0pIPH9npybz1mplaCJTjZODT8rUZGsFLfWUc5XOiqbOfS3S0ZoIU/iXpbG1zwScFLaJNwV+yRyYOE246GkTfq5yrJatTFMMZ+IFnDijvb2aoP1ov98cUKbFcpwmevUksCRYINS+GiVYA/Q8h6vfgUFVWB8/rkyEhYUS+gIcwMoXX3S9h9eMHw5vebmKfKlRAajIbGmtRIiyQVZWSmexsNDH6vl5jTvpodvbtQkZcWrS9SlqBWwAE+NCn9JsAF1YhMygyVCWZ6BkOB0LoWyGyIwNmiL3Nfxfe4ANoH1jo/Q+tCREuwSiMqMSNBibWasldUa+S1gw7UgRMXYjGQgg0ueHK/+bgEXay1b2LwMP92Uc5hFSecjzjfZ+2XsNLDg74YCnT/uEZJWSTADNBCrdqlR+fB5n4gREcnU3jL+K1bve/n45Yw5TXQjbgAMoQAVHzHm2Nhs7HsbBs8BWakWACq9xztNpsTcpVsOYYEKAAaxL1qjQN8CSn6znILPCvWMsnCv3PAE4ptNKB/Xe4mKVK3cf7s8W4M+edTBzcdEdPQAISKmPwREbG8+fd2e1sjK7Sd1HH/Vnd3lZoSVZLumULy9rF1TCQ8WkPP+trX48AJKFuL7znd4W5zs4qPGT6asZRkoACgwCdBgHY+vLL2vspsgWo5XaHH2m4msCac9dH2hLbp4mvLi+XhkmQF2KPzNDJO9DeK21WZG0sZa6pzyP8QVMD8N6WVcEuBiuwIdCTt9p7JOx2VqBghRyDu0uzvdF4GEUcY72Ltl7DSx8SaWrffZZZYVwvCmeXFioFS5tgNWQGD7nhLoGPjjCdPxW4K3VjpBAhcl+YaE7mMmkCivRGGQ1Tw4wBZbU9sBNa/08RHP+RvPaqTIFmblKA56c1+ostRk5oea9uoa2OxdGAThprfqE8BFjkRN+qvWBIf2jFol7Ur7a/V1cFMAQl+cAU3ORlLfdQTlS2SPCYdNpFaAC6Dgm57u66uf56qsSk9rEjOOcTqskt4JYtDbTaWdOPvqodjwFYjA+qQHhJIQLhKRkMmEd6IAwF6kv2tzs51NN9OiowEtr9T05Pa1dfVurzBHi5XTuRJ2tVSl6zyiZNWyCe+FQbbfuWe7sFJBKZkzhsKyH4j3nylBfAmbXBlaB8mQIh8LOzCzJUFNqixKc+374Dt1Fa3EbeBhFnKO9S/ZeAwsOOMt4SzNdWSmhnEmFQ8FEWHmJE4ujW/XSMmTaI+cqBus4sXQFiqzY6Q7E3GWKYCJUP3Q/QiRobQBAeIDo1LVMuL74mWqX2TEm3WHRMMa55youV1VDsWDGsxOYcaicRNZ+AMa02zUStOXqdjotoay+aq0yBoQvhFScO7NgcqMvoRTAgU7G8an3mE77sR9/XO3OehgEv2trJQ4VNlH7YWmpf/7b3+7lq/f3i+VSsGxnpwPi1vpnaAswZ5yo0MDZWT/Pd75Tz/n0tF/j/Ly3BYgCvIxp2qK9vRrjk0n/nGP1Cf1EAivg17jURn2S2T0LC72dWJhkA1orpiPDKzdVjvUdT7bA88BsJCDI70KKggEo7/leaVOOx3SowEiyGreFK+4CLF6mtbgvQzCKOEd7E/ZeAwsTS+orckLEIHAuKHDsQa7oT0+Lehe/PzioCQw9nSltHFVS0rYuT6pZFUWggaJeBkmWLk5nL5TiOAwJJwqcCDewVLCbUFMXkkWeWiswkeEZv638sjphlm3mZEzArdX9uM9kJVZWurPBJFhVuoZJ/vnzEh22VkI+7INy15lq6PMYFFunu1e6AWGBFGpmOi9tAie8tdV/WusO/IsvytFjWbAr7omG4/q6F5d6/LjYFayW/V8++aQ2/eJcOXv3JaTifr/4oop4tdbbY2de48Rqv7Vy/EIV0jrz+dKIJGuWoQbH0rQAiAcHtTkeNs1YS/GqdmFrgBBhJeGPzJC5ST8EMBi7vjecfoZDiIYdl8cblym8TDGu75Exmd8tjjbZgbswBen4h4LPBDSva6OIc7Q3Ye8tsODQnj/voOKrr4q1MKFkrN1nrq9nWQIiRPFlK04FexKty+qwSkNjy+UHUkx+rfUJlyNEkQMdhIY5cbsG4RxHRWHP7KDqp7UCCsNVi8k+swLcj2u4ToZXGEoavd3abE0IKYZZEZTmJO9PyeuTk17hsbVZWns6nc0cIYrVn9JgOVThCsySz2KfFJTKzJQMRwE1Yv3aLAzw5ZfFgHCOy8vlfG1xLj0T4JPG7Ll/+WVvM1res8RKqbbqPWMRI6MIlWNoOYw1DloarlU8B3txUe1T/Eqf2r9mCLh3d6tUfWppgM3W+nFAHSGs/sLwYFh2dqoPCV6zvoy+zcyq1ur8gKzwpfvNFFrAwjgELozrDJkAR6nV8L3J930/nDvZxRR73pUpeFnI420UcY6sxWhDe6+BhVXHs2edav7qq9kNqtIRE3xx6FaGJgexckK7rI0gTdFEaZ8Jqy+hiSyrLZPh+PjrIABrYQLkVMXOk46dTAr8cAapjk8RJYeZKziTkwk2VfSt1YTtWA7X5JqZHkCCuHqu2Fx/c7O0Jd53Dc7y5KQ/L8csLVW2hvN5RglMkiHhpGktsFNnZ6391m/11btVvt1CAY+k0K+v+7Pn+IQR7BOiVDWtTGsVEsjy6Jiyjz+ufsBQHR72v7e3Sw+xtlZhGddKPUJmAnkWFxc9lfTzz6sgHIastSpjLqNERor7ErKRecJ5Hxz0c0i7xTZ4jhy3NnKmnrsxdXhYBbFWVgp8Jjvh+pnFYhz6XGqfMqMjnbnvZwLr1KToM4DRmMc+cpJATTIQruPzvhsJKoashfu4y8r+RSGPeTAE8xZdjsBitKG9t8CitaK39/Y6lSxVbTqtPRduOp6jw2hsb9fqSQ6/VXNW1jw87JOwWPTjx+XMOUHn/fzzWnFyzq3V5G9FxEnSUHCkVpoJAjj4jPua5MSh/R5OfiZHorm01DekKDO1BVkamtgUyJGeeHFRm4thApyntRIgZg2QXL0LYaSGgqhPyMfqkqOm4dje7scSQR4elnPXBrUTUlsjxq88tZU6Sv7ysj/zo6Oua1DF0nOSPjmZFJjMnUUT6LY2y5BkWXCaA2LJDEEcH1eoY3GxgwuCUOMc5Z/3SVxqHBJuYoGwBN7LUJtnKKx3eFj3odIngDUMPWASaUmML2BaPQzHC7sAA/k9YEImgFdqUDxLICjPY4wC39iWrHEhNJWMm/4bCjwzOyS/Y2l30Vo4bnjsPBiHF53/dWze5xvt3bf3FlhwhPv7HVQ8e9YnW+/dZCaeFDMKByj4AwRcXVUBJrFiqzyg4upqthAP2l1+vpW/lStGgzNReREFnxSwUIpJkQ6BA6G5AICS5k1Gwzms9H0eXa2N7jt1HiZ8dDwAZXJJBkBtCQBDPyumlFUXk3Le3KwQiVCC1XZqL0xmHN/JST3v9fXuQGVcyAQC3Pb2Kv7vuWf2weFhbYrVWj17zl+Brq++qja0Vs7Lrqv6XUhCzQjPEpB174CWcyaYUWOC4wcigC8F3mzcdnHRvwcffVSal729YpCy7ogxdXbWgRRgQaDM+XMkm5v9usAFoCpEgb1ShyK1J5g4IAQASCbAuBRSA3yN29Q7yIrxXVD9FtAdAoRkJzLbBGDyvc3vvtducqjG7k16iBfpJ4b2IhZgHgzBvFmGkbUYLe29BRZWLYeHFQYxgfudhiFQd8BEtrJS+z74sRrOSc/Eu71dDgowIBAFKHLCPDmpMIvJyjmkfZo0xYs5LE4/J7RhXr/3Mk6sD3JFZXJmgEzqLUzquccGEET4aDUtZAMo7O6WpsJul9gMlgCGY+KEM1OGeC9LWKPWOS39Z3O3/f0uaMQ8OJbTADKyDgJmwbWkh2KdhLqePOlO+vy8M1E0FtqZYHJtrTv4DB/JIuL8UnzoGlI10/lnqGxtrUpd7+z0fsmdQIk9aTSE2zAIQIxnvrbW20yEKjSRwAFIyBLfyfJpqzFzfFyv6+scx4CAEIOQShZhwwBmeigQnN/HodaBlimZDN8Z4CJBquerCmiKgJPVSFCT3+ubAMVwfnoZa3FbyOOma7yqzSOk8pDnG+3dtvcWWKBWv/yy/+ztvfwzaGurN7FmKzQVMU2i19ez5ZsfP67Ki+jsL74oWtjkZVIxicpSMWHmRMaJmLjQ2SbGbLsMlaT3tZMjcI6cWJlVFODl/dzvAo2MWclY9k2shs9lCuX6es90ODmpUAdnoy85v+3tDkpkL+R5U/yJXldtk3M9O+vPQBn3Z8/qPnd3i7ZHtVuZZslogC0LVgFQz593YPFDP1TVMlXE3NioXTifPq3PEjMKJZiQZUMIoQCdwiPu1bgwXmkdsBN0GinszFABQadzDcNPDJs0FDsmK5VjBDgQHkwdAh2J4lrLy7UDKudvjNIsSc+dTEp8qzppFu+yLwzgS+fj+RB9Xlz077EU8cx+8ncyFxYXwIWxMQxNpEMFLrApGarM79pdgMUwpDJ8/7b37mLzCKk85PlGe7ftlYDF9773vfbf/rf/bfu//q//q62vr7ef/MmfbH/qT/2p9nf8HX/HQ7XvtY2j+fLLzliocfCi4znEi4uKpS8uVgaIOH/Gi8WenzyZDZ3Y60GMO2OtHEhrs6EOCnyr2dZqUuSAcrUmdKKORSrQ3VMyLZy8fT1Mepx1TmbagX1pbRYwZBaAzxKhZszahM1hou9tPZ5FxDAetA2eSQIYDlipa6tMdTJkhKC9Nza69uHx4wpJCFnYMM4zy3FAh7C9XWmfSasTVLr2Rx9VaMwYogGhlbi66n2UoRTjAzsma2N/v9+bTc1sSIdNIZDFphGqnp5WpdEcS5wkhsOzOzkphi4Ls8liEk6jNXGccSs8lZoRYRrOXFaU6wFr9CVYKGN0b68/s83NSulWWTY1Jr43yW4AgK2VjsN43Nio55JF7ZK54Kh9V5wDA6buBzCbos/83viecLJDIHaXlf2Ljp0HQzBvEee8zzfau2uvBCz+wl/4C+2nfuqn2h/6Q3+oXV5etn/33/132z/xT/wT7f/4P/6Ptrm5+VBtfGXzpd/bqzDIyywngtZKaf7s2WwBJysZMfqNjdlVZa7CTXBoceflKNHDWUUROEmKNSnlLEQl8yTTRtHCyZBYRbVWIlQTMceTq73WitnAfpgwsp2pwncNK7qMXQ8nGaBGv2s3pwe0cHIpAtzYqPBG7qnCQXD4GeIBCmQ1bGz0cQEUZD0GO5q21s/1gx/0zyqEBQBwjFgpGR++Buvr9b6xtLnZge7qah9X3/52MVZAhjLfjx71Y6bTPn6tsPWbNkilVTGWpkMGCTaCU1xcrP1WiDX1sTouCTY5Y8zH3l6NmXSa/l9fLwFzOr1M2c3y3MB7awXMsD4ANUZBhoZxq0y4+3IskWuKjq+vq3Q+QOS5+18fJ1gWQiQmFSJsbTYsNHTwvhdDPUX22cvYhhexAPNgCG7SgdzH5n2+0d5deyVg8Su/8isz///iL/5i+9a3vtV+/dd/vf1D/9A/NNeG3cfQtoeHrf32b3fn8KqGUWitJtaFhZqELy9rF9KdnZrgTeAKaplUrNhbm01lzVLXJnWrstZmC005jxWeezVJofNNZhgCAMM500FZqfk7Y9Pa2Nps+iSQ4TN+Z2giV8yZljcEJ5zSTaI3IEUoSegJg8Bp+4x+TJFehlaEAqy4v/yyf4YjBNwePeo/9DXKwT95UivwhYXaMnwy6ee6vGztu9+ta2lX6i2kkU6nHTioPWHM5v4bu7sdVDhWyMOzVxJdVoesEwJGoRYMGf0DlmJ3t4Sp2paZItNpP1/utXJ42FkU1zZW3OPaWhXw4uixHp5Jhvg47gRD19f9fu3Cqs8xWc4xrKSqPZl9lawCdiXPpW36nobG88jvQVZWzSJfCbxvYicAiCGQuIsDfhELMA/B5H1DKg99vtHeTbuXxmL/d6rwfPTRR7cec35+3s5DoXdAqv+AJub75ZcVX7+PmdzEqa3MTMR7exUGODysuGzG/k2snOx0WlQxtkB9jFSlt1arqWfPahLM0IAvsAkxq1aiiS8vS51vdZk1KBxrIstJc9gXjneeVNmns9EuDI3XTYTJUqClxcdTlJpgw7N1TuED90VsmLoJK0tZCUtL3akCBqqw0kioOUF8q//R+LJXVITktJ4+7cc8eVLpt54VsaKtz4W9ZIqkvuXZs67ZUD9FdcqstyAEtrPTr6vf19aq0JpiU/7WTgBjeblqrDx71r8v3/1uMXHCGqen/TwffVSfT6Dj2UsTNYa1J8vGq/WR4QKaB9vKYwUBRd87IRD/YyFoczJFFbOR7Ivxi+lKpkKoiiZDGDG1JamvwGpknZehhkI/JAs4BBN30Vrk2M9jRxHnaG+rvTawmE6n7ad/+qfbP/AP/APtD/7BP3jrcd/73vfaz/7sz77uZV7LOJ8vvmjtr//1+58v0w5bq/oIdAKKOhEbmsxMyJx4OoTptM6XtRgytz5rQZhUW6uVqNVg1tVIpsBKKycgE51Vprhypp9y6pzBULvhnD6fDsDnARXhC/dmks+NqNxrpsRmNgzQoFgUZ6/POCSiv+E9ckCpYbES39ys0tzr66W7ePq0nidanaCztao3srTUP8+5ESoeHc0yVkqVyzqSrkmACYweHPRrfvllByHDwmWYBwza5WU/jiYECKEpwlhkjQYgU18AIGdnnSFRxEsWSYodt7eLxTFWbQLmuXHCKWAk2qQByTCazwGGUnGl42KrtF0qrXb5PLYHSGD5vTNOhVH0q+9TZl1lWNRxWZRNBokxmuPVdYZAPQH7XdmGFx17X9ZiFHGO9hD22sDiX/1X/9X2v/1v/1v7H//H//GFx/3Mz/xM++mf/unf/f/g4KB9+umnr3vZO5n499/4G32Cnsf5kC7DXRu9Z3IW57dCNNlk9oKUOKtekxE2pLUCEmLiJjyTtRV7llQ2uWYa3hA4oKAzJOE1seQUVGIMZKOYtE3C2pxVQfN+9ZF2yH4hPAXMrEA5TfR+lmh2jtZqtZm1IDAKWdiJEHOYkmj1fnlZwktpvipeEt8qMS2zRCYGEJN9pzjYykplfuztdfGo0BTNQ5bnNr5kINHg2FFV4TYZJbu79dwxAUSeCwsdIJye9mOBC+fKa3leBKbn5/3+r64qFEELoW8zRDCZlNgT27C0NJul5Nl5lp5ZCj+FGBYXKyU4008BAymrQI8UUP0JxOaeKBlu49gzg0k7fNd9f5LKx1oAiikazRBI6k2SAfTduynkdxfW4jYWIEMPL6uNcZfzzwMIzPt8o7179lrA4o//8T/e/uyf/bPtL/7Fv9h++Id/+IXHrq6utlXLvDdklOV//a/PB1gwCnPCSBOGSZAT4/BXV0sgZ7WYq3mgwISnLLgV0nASskLCZAhDZGhkGJbgsFubFVZmGIWDyUnS5604s85DtqW1isVjBGR3ZLYJdsf76dRQ8tpzfj5LoQNLKUjEyKSOQj9iP4QyrPRliVhtcj77+/VZqcTSUh89qnt8/rwyHvb2+vtbW/0zyrjL+Fha6ucV3nr6tEIouVV5VkKlASHAvLzsIRFOtLVZ4DXUAmR2kvRI+5lg0owN7IGxiIkAmNUD2dqqEJrxvbRUtVeEIIBGrJnnoi+ABDsIJ3tgLKg3srzcgZPvgc/5DmUKaRYFkzXi7wQJqRUyrjPkkaDB9zT1QoCF740wJfCa35lhKjfQb3w7/q4O+Ca9Rr7HXteRzyOk8pDnG+3ds1cCFtPptP3xP/7H2y//8i+3X/3VX22/7/f9vodq172McPP735/veXNvkbQs8tRaTZocbZqJqLWatDhewrUEDQSLVnpWWNiRYUopR9pagZicbFLjkIDDahqASCeUNSMmkxLAmeBy5aafcgJvrSZiTlM/Uf5nuCRBD6o+6yQMwyNW/AAeNoMj1879/WIJ7O/hnvTrs2fVruvrDiA+/rg7bNUtaUCurvo5ARIrbs730aO++s8S54SUHHmmugrrqALaWi+4JfQGPCgM5jPZhsmkMkS++KK/jvKfTArs6lvZF631EI2iWLKhPv64MlywPsa30AAgR3CZDgVQTNBhTAHJQkZ0FQcHs2G6HAP0Hd/6Vh0jBCJbC7uW7QAcUieR2ou8J2A6hdCASoJ4YwCAypT1TENNAWZ+91JA/TK7C2txH4ZgZC1Gm6e9ErD4qZ/6qfZf/9f/dfvv/rv/rm1vb7fPPvustdba7u5uWydlfwvs4qK13/zNHgp5m20o5GxtVheRceb8gtqPIgWUrc2GQVC9udIBQkyMfjIEY0K0AtUmoEU4J1X/WVyIQ9e21marSAJH7h3DY1XMceXqEV2urcnwtFYaCmEKQGhvr1IrtUe2A4ZJCqL7FqbKuLoMIc6YWFQ1TgwWB3t9XRVHt7frmWBgfGZlpTt5bdDn7jFDVRna2dqq7KDptN8ffYc2X193J0/LQRxJo4BpAFhsoe7zR0eVGuvesUfJsgFowjXJNqQ2BOulzUIPqp4aJ5ibg4Mqcub5AUXYGGXEgV5jJ2tyZBhQeFA4J1fWySr6PwXF9CRZLMw9GYMJ9Ic6iiEjmOzDTUzE0F7ETLwIdNzV5hFSecjzjfZu2SsBi5/7uZ9rrbX2D//D//DM67/4i7/Y/qV/6V+aV5vuZSamv/bX3n5gkWmmSaeiTlsratwERMPBCWaRH5N4TjL+NyFyeEnV+hsYIQ412UnJy8wRxztfa0UZU/CnpgQzMazamPtzcEB5TGuzMWrOI+lpoMmKkdPiDGkvXBPAWFysDcWANc+FE1CKXYquvUFyEy1ONVfJKlaqvkkj4d4AAYwCcGKzNBkvgA2nzGlylrlDqRAOBsjEvrtb/aWoFjFrZgXp10yBtr8IQCYThq5CWrWspfPzCmcIG3HEHG9WyxTK075kAjKbZHOzwKxnOplUKXPnMw6MfX2mcimwYywaQ1lnJjUYqVHCWiTwBa5pPVqbZUeGIZBhOIrdBRTkOYbA4r4MwTxCKg95vtHeLXvlUMjbbtNpn3T+f/+/b7olLzcTBZq/tYqn+z8rhqYQbGgmZL85f5MaIJCZGRl3zl0mc/L0+aRvh5szCcu4jwxJcBYHB/24DOEkAGhtVkSaYtPcN4UzwjK0NiuqHKai+gxwoAKkybi1ckTCJpub/fjMWNnfL5DH6SSTwRljKzAwsjz0FY2BlS52SQXO3IQrs0Xcf2sVTuHgNzZq5S4rgqZkaamHRL773R6a+fLLCkfJHlFlVqjJ/if2Nzk8rIJaCwu9LzxjzlPo53cy0GcyULLAHD0Mtsi48uyMIxVUhUtSj5MhNmMGuEjAnUBTO4xHImJhTOcUuslsq6HwObM7AI6sdSOcmVomn5OGexu4eJnWwnEvYi3GcMho37S9dlbI22rTaY9L/z//zzfdkpdbggR/v6j0+G2gorWvT6gpdDSxDYWcHLpVJMagtaKe06zeOIKFhRIFtlYbWQEDJlzOfriyM5mj551TGMLkD9gQJXL2P/RD3QEpUKaSqftJsJGgY2urnJUVOg3E1tZsaIojPDio9FOOXL8rCCWsoC85tsvL/jn3LsUUuJpOe9bI0VG1Q3+dn89uKvbsWT3Di4vuzDEQPntx0duYTn1/v7ItgJ/j49I0KIq1sFAakZ2daisAk33rGQKTakQAC5z2o0flXDAGe3ut/d7fO1vMbHe33x8hpzGRFTJbq3DRdFphHWEYY8VnhD8yQ8VztRmdDCTPRN8CuBleTLEtQOV7hKnTL8BFClVTvOk7i+m6iwO+zVkn6Hhdm0dI5SHPN9q7Y+8dsLi66pU2/8pf+aZb8vBGRNla0dlWz/naMMYLbAgj5GZMrZW6Xk0EtHHqJqzWhBRykpTmx7ldXdXfnJnql5w4J5osg89qL0aAw/zss6LHFxdL9EhrwGGY3Dh66ZwyODI1llMGzugX6AvQ8EtLsyEOK2tsjNRcfby9XSAAWyF0lSGF5eXuXGXZ/OiPztZzsPoGIL76qgsZgRlpoXt7lT776FE/hwJr19e1lbwdP9W1wEyooUFkih2ZTGpPEBu+AQfGo/sH9jAeQnJCTV7H7tBTyIjRn6p5Ajip99jZqXBIphG7XoLt1ipbJTNBAFrPbjqtQmvANkBtfPm+eD9ZlQTzAMtNos7UW7R2Nwd8FxHny/QaLzr3PFmGMRzy4dp7BywuL1v7//6/omTfZ8t9PFI0RoVvNZUTBXo3wyEmw9b6bytFjj2FbVkMS0gk1fBWbOvrFa74+ONa6QIY9AvObdUrRm7SloJpwuNQAQoCydZmMywIBIeskBVnZiVkiCerpDreitprUhrdh9TYvMZ0WjVPspKncIzrZpEn4ZuFhQ4Yzs+7Tmhjo+sctrdnNyKjD6H1SJA2mXRwcXnZgQfnfHBQYOLJk/6sj47KaRJTfv55f27SY4ECIlAMQmbIAD5DLUvuXTOZVIZH1nsxfr3nOatR4r4ANuEeAA+A873wPDPkxRnLJEkhaQIPAFKGCWBxdVUsBCYlmYxkKDJc4vsyFHJmaBNrcRcR54tYi3mJOOcFBG7ThYz2ftt7ByzOz1v7jd/4plvx5ixTXa3mh+mvt5lJxOSZDs4PgCEmbhVHyOfzVnzoaoJEbEJrRdebvL3ncyZvzkYII+PZrc1uqmWnUboIYCadtwJI9BMcb4KnFKAOY/qp7UCR63tZCK3NrkyBINoW93d4WE6Pw6JzwEzs7vbfP/hBrfqfPatQTG5L3lrXUOzu9uvLLnH/NjL79rerYiWxqXAXpkEfKBLmfp88qaJj0qKxDinU9XruaooFSrDGmQIPKZCUNpx6C7qY1ActL/d+U88iAe3JSTEwAKCxnILnLDXvOQlTYKbUyADmMrMD8MW6JPAQfhkCBZ9NUAFQJHtxl+/tMONiHgzBi3Qcr2PzCNGM9u7Zewcsjo5a+8t/+Ztuxbthvuy5L0Oa1SWQMZ1WdoDJPAV5jpFGKWOBE83Pmphdhx4ks1FyFcfJYWRSnMhR0gQAMLk6tEU3fYGtuK0AaQIS7LRWICPpbmXaaS18DqDgtFwPQDk+LsaGs+Wovvqqt5/OY329a0iUB7+46Czc8+fd0at0eXXV7/3Zs/55Ilkgam+vxJbf+lY5YswLEHJ6WhuvCTUJnRwc9Pfs8wFkymi5vKxz2PYdGAACc0dYDtdz292drR+BpQJc9avxIHRChNpagQT3fXxcmhyAy5gHUjODyThsrV+bGDa3dvc9yHocvkPGOobrZcyBcTdkGfx/FxGn678rIs7XDdGM9u7ZewUsptO+evvf//dvuiXvhwlTZE0MziLDEYuLtV24SZVDydCAktCZ4ZF7MEwmpZNQnVGYhUOwIrSHR9YW2N/vn6OByEJG2kvUarUOGGFaUNvYkiHlrfjaykp3iN/6VnfeQhKZkpirexMrYSQq3Plb6w5cjQUAaX29g5G9vVrhKpO+tdXfS03J0lIHKTJwAJ4Mm+zslNPEDEwmpT3Z3a2Ml729WU3Ao0c1Hq6vix2gmeGs6SWAztS5ZBiKUPfqqvZSAcqwHSkqBtIcI4sDWANUWquUYPqT1kpgK1U6M5foRLANwi1CWMk05HgkygXQgQvjbchOGGf5eoYR7yvinGc4ZB42ijg/PHuvgMX1da9fMdr87OpqdkMrdLj/Uf6Z2mdFaPLMyVXBppxonNNeFpz4o0dfTwXlmMTd00kLS3CmOeFjJcTvUzQIgHBYJnn3hkoX9gEuhG3Q5Rx30vrp3IQ9trYqPANMEYGmMFMYQPbN3l5R/LJLOMgUB66uVnYFgWlrPfME2JBx45lgFJRB39rqIH1xsa5jxWnbemNDqObjjwt0ABuKWGGPWivdhT6yYdvVVbFBdgmmddAOoSwgCKjECOlzzBTwhlkxHulFgIp8xsak5+D6rdXnhVRyLGp7a/Xch2mnQ+ea2UP53svARYqx0+YhwJy36HIUcX549l4Bi9Za+x/+h2+6Be+vmUQZKpuhw60kU9yZQlJsgkk3N90abszFAUg/bK0cKKo8izqlyDRrc6QOQkiHQ7bCzLLN2pY6CBqT1qoAlGOtYDkKFDuKPPUrqka6hlW5FNOtrXKo19fd6Sqr7dxSRDEwrRV42dzsv58+rT69vq5wi/61NXpmaqinQUgqlMA5Z82QjY3O2Hz2WfXRxkY59BSm0l7kyp5zFIY6OOhsQ2Yg6SNiy8zGEVoDNlZWSmeTgkzP+fKyanEYoyks9RwwB5grYyVBRYqdnZv41Lgl6AX2MqU1w23AAHBzl3CIz90UYnibwyEjsPgw7L0CFmdnrf3Kr3zTrfhwDX3OTJiyFqwOOWwFnXJ/j4WFKmblHDs7/W8TOpZiMqmt6VOT0dps8aLptASPh4elETg/786ZA2ltlhVRzRHboeKp6ylmZsfNBBm5R0myBlgSjtz1CFYJLmkxkk63vTvtABqdDkafXF/3LJLWKpSxt9efweZma9/5Tj2j/397/xpj2Xre9aK/cR/zWlVd6+ZlL0cWCE6Ck7DtsI3D5SRALCyUgyU+hMCODELaiuREBIsPBD7kokhGinQEOpGtRAgSjnaOs7fAgQ8hBx8h7KDsaMcGiyhEKDnJlh17rdWX6qpZ8zLmuL37wzv//T41V3X36rVqrV7VPR6p1F2zxhxzzHF53//7f/7P/5GjpZii09OgR7AgTKkfCSatt4OEp+qlIq+Kg4MAKnVs9hitM6fSXroHdF6UuhBQEVMg0zGxUQII0n1YUKjzJwClpnOqJtJn69rpmtuSYYFBfW8r9rXdc3Us2qdSNhKAXgYubHrlUVIG92NBrkKAeT9G5I3GkA55uuKJAxa/+7uP+yiGUGggkeOkQlS8JgGlDqyCX+WpmpytO6UEiLasTxOBRIOqwhBrABfz+PLEkMhPE4JV/Esgavt0aHKTwZQmMLsK18QvHYT17IDQll2rWx23mAdNSG0btrUTrZgagZCjo6AD2Gz8Z7/0kk8lSTtx6xZ8/euhAkSTriZLlZ1qooTgDyHGRWyBzqvOoc4dBJ2D9VKxYM2eS7EEVeWvi4CMzqHOp5gg2ZCfn4fSWzmk6hxrf3keKlnEBghcNk24dgK90r/oGHUMmvSV2tifpO3307mAsE9bHWUN6yCAHivktGXgT5KIc0iHPF3xRAGL6+C2OcRF4ytNcPJPED2tlZ0qQJTDttUlk0nYRrl/28zMsgAayDRBie4WeNBx7Lfc1uSpCUD5e62ctX+xL6pOUEpFVRrWU+Ho6GLH0a7zVtuHh0GMqbSEJunF4mKbddH2WoGDZylOT/1k+7WvecZgOg3bLxYeXKSpZy0E+uzKGULliUpOZXKlCV7gZN8ETCBOgk11IRVAgIv6E2lVBDIlipWPikqKkySYfamMVtdrPA7Mh2WprHOmdbYUeFMPmMkkgDql9vI8AFTLSCi9BgHUSqsiHYotX7X3hz0WgQtdZ51Xm2bcZ0buF2+HiHO/rPWNxuBp8fTEEwUshjTI9QjrKaCVHoSVrGhlAQBNItZ3oG29hqDvgx21DLggDMrz+cUJSSkP7VeTmgZQ9czQcWpw1mSmFbcAiQZuq+Gw5YbSStjPVdhJTrbUURREqdKUKL1gRZRa3UrkKSCmig8Bl9XKAwzZai8WPi2iCS5NPSBRczG5XkowquO/efOiuFWVQFrJq6RV5/rkxH8/9VgRINIkKt2HqmdUAiwh6Xzuv//pafCUkNDVAiJN2upxIqZIrJGuhbQdql4Si2aZG8vQSCui9IwswPfLoHWfCOTt+2Xo3rCpPgFZ3SO6nvtlqq+HLXiQiFPxThNxDumQJz+eKGCxa746xDs8BCZEOWsFC2GVpBWsKgwgrIhtyqOuw6SsiUkTXJ57waLsqAUKlDpRZYJCAkxN3uv1RbW+dBHSX2ji0mSiyhKlSiQ6tcZKEnUKEEjjIS2DJreyDJ1Rz878z9HRxSZcstZuGn+uxEzIqVQr99PTULrqXCgRldh2uQxMjhw012sPRlSmKz+MGzf8OdXEqGoOXbPNJoAC9VNRukrnV4yAfDLESEkDofOQ58FSXOdajMZ6HUSXYrokklS1irqyytdCfUw04eu9VqehayMbc5l1aZ9HRxe1ENYQzLp/6j7WebXN8VQlIpbC6kAsSHhU1uI6iTgHT4snO54YYNF13qlwiOsRGtQVYifW6zBJSTdhV4ei3m0Jn8oqtXrW5LlYBCMsTawq3xQY0SpU+7Sulll2sQ+FKiwgHJft8mkHX61MdTzWDEzfZbu9aCal7y3thf6mfQtEWGGoGrCpAysEfwZLyyvNYMtBde4Wi2BsJQpf/g157stIV6tgMw6ekQD/OWXpj+PWLT/xbrfheljNhXp4qNHb6WlIs0j3YVkSe00loMyyi2WzatWulIJ0EBLban9RdNFtVGkKgQOJa/e9KcTMCFSqXbyt+hCItc6bViOhslaxcQIVVsOh1KBd1Vsm40Fxv7THVQgwr1p0OYg4n454YoCFLXsc4vqFWAmtKDXJ2RbyEjxKo6GJUpOBJkQrTpRFtCZS5c3lkSD9hSh+pRtUEWJXzyodVYM266FgKwe0ShUro+2U4hFo0vfTZ+vv6laqfUaR306gx56T+TxMlpoQNaFZnYgmVh2PAIG0DJrYLPBSx1axI5ocBXKcC2wMBI2L2BqVf+r8K20lj4lnnvGLAXlZKKVg2RNNtmoVL8Hq8XFoggahs60qfiQKlvZF50ZpJYE1sRi2gkNpN6XWkuRiKk3sAlxkwHReBRwhHL9YMKupELDbT4koLDPyuEScb1U65Kr2N8Q7M54YYPELv/C4j2CIqwitIG3Ygdo2vdLqUFUmAgBnZ2FFJEYhSfyEpFLFOL7o3ihm4+7dkDqxFR/W80JlplZEKLpfGgEBGqV9NIlrcrEVMBA+584dP4nb8kSJE/WdiyIIWO1kLDZC6SVR+Eo1WHAhMKayS4EqVcmoHFeeELJLF/ugifXkxDMI+i76TOvrIJCoChUIaY7z82BsJR0FBBMxnWuJddfr0MBMHUwF5vTdrDusgIAalanyRaJWgT6lU/Q91uuQXlEKTvemNB86D7bUVNfTmqzpOglEWOGy1VMIBEA4D3bbB8X9hJFXkcq4atHlVadXhnjnxRMDLH74hx/3EQzxdoUFGta0S4OVHDuXy4sN2bQKXixeW6paln7ymU6DmFKgQBPeZHJRdAcBXGj1KQdITeRKk6j/h45ZJbPgj9M2ulJvkKMj/3eBHu3HlpsKcMiCejoNYMQaVUmEKP2Fqm0EslR1cfeuf58YGRlpyaRLzJIYIH2+NCKaLJTC0cSoCVvnS5Ow2rOLPYKLbJRSWBKjKk1k7eTF5BweBrEo+L9Zm3LLUllLb+lsBBB0LZX6EiDQfaJ0HIRrCBdZDP0I6Gli1v9t+syyFkrjiOmw+3k9rMX9RJxvNh3yZvexv78hHfJkxxMDLIZ4ukMKfw3cmhAlmtM2CjEKmryk4tckI4MqrXZXq+DqaHtL6DXR+0ofaFKy3VE1caVpYCEkDhQ7IF2Cc2FVDoFmPz0N4CJJ/EQ6m4UJXBO9qHd9hoCAUjtKN8kmXFURs1kQmN65EyYVnU+ViYqJkO5BZlgSkdp9qtmbQJqOV4ZUslcXcOn7YOiVZeFaaDIXm6JrBwEkaFudD9nFn58HgKTyUTFJ1mBMLIv2IebCVvsIxKmKaDZ7rb5GqS8BD7viF+CSfgQupq6s8NPqLx7GWjxMxPlmBJODp8UQjxIDsBjiiQnr3qhqCw3GViiqsJOHAMB4HCaKOA7CPsuS2Lp+uVHqsxVWeCrmQiE6XNtJz6HupxBYi7r21Q3SYOjz949fq/zbt+HZZwM7YNM4AheavMWqLBbwjW94zYN1o5T2Ic9D+aXYA7Euy+VF/w4BGnW3zbKgY1GVj0CdvgOEdJY0JmdnQYypSdWW+gok2eZg2kalnQIMm01gYKz5lkCPGBTtX4BF+5duRAyWHEyl6dA+rIW8gJTA5L5PhWVxrNjT3mO2csSmze4X92MCBk+LId7uGAp+hngi4/w8NOKSR8J+iMLXZB7HfkJ8+WUvKtxsQkpBq8zz89DNVJPZbBZajkvHcPt2SLko7XF2FvQEWjnaskkxEXEcUhpV5XUMWrXqGG3DK5l4nZ15luH0NHg2aDs5TNrGWbaXxdlZOGeaJMdj/71v3QogRZOAdaG8fftiyaqtwrDmYlrJqxrECh5lkFaWHqwJ8Lzyij/fdtUubYVEptaAC16rmxATIiGsJkhNtrYSyX6OBLia3PW6zp8Ag5gbm7LQ5GsBpCZTgRelWyyIECCxWgwI73tQ7DMBD3v9UeIq9nHZ/oZ0yJMZTwxj8UZuUL3HlvqJ6pX6/PTUTy7f+IY3Cbp92///7Mz/e3LiB8Bbt67y2wxxVXH3bjBoEt1tQ5S8xJSisNM09BXRBKW0hSZ3pTqKwgMBNdmSfmO18p9/44bf7saNIKqM41DJJA8FpRWsiE9U+J07oZTTdj7Vil70/WYDf/iHXmz53HP+u0+nfoLWqlj9QQQ+dEwqIY2iACpUPSJWRzoDeXm0bShFlW22NbGy/hTq4ioDqn3h7GIRKnLk0XF+HkBdWQbdia6FJnMBOKurUMmqAIxSD1aQqxSVUlPal7V3t+OEtpceRmktiVYFLAQUJPYUe2Vt3/VZOi5ruCZ2RO+1LMyD4n4pi3eyp8XAWjx58cQAizcSNn8MobJAK5rnnru4stHr1ilSjZcWC/9z+7YfZLV6fOUVDzpWq7D6un374auPIa4utDLfnygUEgNOJqGaAC6WVmrVK9GdbekNYbJMktD3QgZVYjfA/6umXSrXVGmjJjPnwmSsVe1oFBqACZSITblxw09E06nfj+7Jr37V9wyZTPw2d+/6Y9CkZ9vVC1Sdn/v3P/tsaBCnSU6iQ6UzZrPg8aBzpMncVkdAYDGsJ4VzXryptJEauk2n/v0qcV0s/D4EdmYz/31u3w6aFh3Xfjt0laQKIAr06drtp36sM6aqe2xJrfZr7yVd66oK4lgI11CaFQjgVqkkjSnav/UesVVAOpcP00k8yInzqtIhVy3ivKr0yhDvnHiqgcX9wlKZcFHlbR988IPp8XH4XTSpBhqV8Flm4/TU/3566gfHqvIDusCJthniamLfV8D6SNiwpZZWcyHvCk0icLEcVZoD5dq7zt8TqrJYLALIEEMg7wkr9FO1hlbzEoXaMklNeDKHOjsL6QTZoGtl7JwHF4eHF1uHi7VQIy6rw1CKYrn033PfiEzHKNClY1LPDjEHYgm0bwEou+rue3//TybBpVNCVp0bpQbUWVY6DO1TWgsJZ62nh3XDtD1MrBBSWgsxlTYtIUZCugrb6n0/baLrb0t+tQ+NCXpNAEcMi47DmmpZ4aZl2x6FtbAg5CoEk4OnxRCvNwZg8TpCAwVcBBk2rB+BmI/9tsy2Bn65DBPD+bn/fbHwr6n51N27F+2Ul0v/782bb9c3f7LCiibvt+oShS/nSQ3OR0ehN4muvdVYyHYagsX2c8+FsktNmAIhEPwqtMJXekLlreNxEB0KZGhyKwrPjOie2Ww8EyKAodV2Xfv7R0ZaKukUQJGXh+3FIRbGlsyKDbDlo5rkdBxV5Y9BaRsJN1WtY0GUPEdUtWOrR5TKEIMjQefpqT9OmVrN5/676bwoPaJ0h61OkVvmdhv0K7b8VlUuEpk656+rPEKsfkLfQc+6wJnuL21r36vP0n2j8ycmTKyH7MYFLi7TWoh1uV+8HhHnkA4Z4q2MAVg8YtgBUpOMHn6bW7VCLb0mAeHBQXCFFA2+2QSzoLMzP4BqkhHIEMUtAaFo68UigA6t/IZ446EBWSZImgAPDkIvC11/aQ+0MpVoUKtUOVCq9NU6Pa5WwW8jy4IplDQ+fR8qLkTVW+tqpWNOTvw+T08DGCrLMFnru4jZkDZB7MlyGdqmK7WgFMR8HgSO6jArRkQaitksgCoBFRlnqTGYDMKURplOQ18RnU/9TcyEKkXiOJS6rte+Q+u73hXKR8Xa2MlX7xWgl6OoQL5A1n7Zqs672ByZb1n9gxVi2tSVTXEIeNhuuZa1sCkmgcD9VIdlMzTGiB15GLCw97Itgx0svod4O2IAFm8wBBa0IrEgw9KQyq3uAxGp1TUwa5BR7wTZF+v/zoWBVUBiuQzsxsmJ31Z56vU6pGDOzl7rZjnE6wutqLV6tn0iBCb3S+cs6NDEenrqr7P0BNaIyzm/nSYzCRZVKSJRKPi/3bwJzz8fTL1knd22/lprVTubXWyQpWOzv0s0KItuVZjYUkjt7+5dr72QpkHMzDPPeNAlgKN7ebkM7IostjWBqOuq0ilZ5vel+1RVJtYCXBPucuk/Sy6qtouo1TiIZamq0IrdMgDWeEypFX2G7L+V0hEwkvBW22lfYsLkIRJFIa1kdRW2AZllWgRMdU8pbEpJzIg0H6+XtbhKEacWT1fFMgzpkCczBmBxBWHd9TR4WpBh6+xFb9rViaVZp9OwMhaTIZAhOl0DklIqKmOUFuD83P//1i2/nVpBa7BUKeQANl5/SACqcyYWQ4BPq3lN2JpobGfWs7Pwvvk8lKjWdUiRKGUh9kmpmcPDAEra1pfDPvNM0Eaol4VEkLpfjo7Ce3ScMolSkzZVl+yDj/XapzXe9a7AsCyX/hilfYCLbcZtVcP5ebjnp9OLxlBq0y7QIN2HfDmk3RDjYxvESbv06qv+d+krJJJUPxTbAt72cen7i2kdCWfFalimR9dbE7wWChJ6Kl0kMCbGYh94iEURg6n3CCjYDrjW4MymSKxQ9GGGWa9HxDmkQ4Z4q2IAFlcYlwEMKxQUwLBsh0CGhGN25TudBidEDaZabYrSluisrkPKZLXyA6OEozI6unMnNJeSG+FmE9gN+R8M8fDYN9xSlYSuvyYmhc35Q2jOpcllPA65d6VL7t7110QTsCZG8O959VUPQrWqt+kY0fF37wZmTJ+vyU33q9IF+4yGJiaV1ApEyeFS28nJUqyLqH2lLzRxq6pDk53t9xHHF8tgrRj28DAcj5gbHaf0I9Z+XQJPgQirtZAGBcLkLDAjvxMJePWs2NSnc+HZFZAR02HLQvWaAISt8rGAQCkSleUqTaUxYF+AKcBhdS/3iweJON8sa6F9XEUM6ZAnLwZg8RbE/QCGBigN6nARZGjwVPWJrUSZTkNpn3L4cjRU/n2z8dUIWm2enobBUQBCoEKTltgQUdd17VeyYkrOzy93rXwSQxPDGw3pW7TytQJfWXZDyK+fnMALL/jr+vLLoRpFVQ8ShUK4Z6x7pER/Vkioba3AUCBHk5qtQhGg0ARr+1dYFmA288clNmEyCRUzm42/PyEcg4CHLaWV6ZQmEWs0pb4nSktI36JOr30fgIp1yFSpq0CaWrDLW2S5vPgZ+p42HaIUjBxM7bOmdJbtLWMrP5RmsVbqAnfSZujYLHCzOiylSDQOWAGoYl8QKvCl/VwWb4eI82Hlr693X4qBtXgyYgAWb2HYFYseZA3a1kxHofwrXKRMLfMhqrfvg9hPqvrZLACOuvYrPXWk1ACrv202/jWbNjk68ts/84z/PLEk0m0ojy8/hCct9kHFPjh4vWEncvt+mTApksSDu6LwfhOnp+Fcy1b84OAi8zSfB72Brmvf+2u3DwDVs0TgM8uCYRRcBB8CEDa1oFWxxKWyHD85CSBBFS/6zqpyUEpGDIDVG8j8St9TVL/SFirDFIgQIyLgIS2S9CFKSQm0qC+IwNZiEdJUSvlA0DYJOEhTodSO9BqLRUhbqbLECmH1/CmtJWtvLRQEGpR+kWblMrBhNS32+beh519Mk3VBtXG/CfsqGIKrZhn2dUpDXO8YgMVbHFaoZYWdNkdtAYZWLPY1u71dJehHbo9aAWqFJMW9AIJYCNG1AiVnZ/Dii35APjsLrIZobDEnqlRR/l+6Dtvt8UkKsUVR9Ma+32WgxE7+ui5p6idrdfJcrcLnSQCpgVfiQQkKBfb63rNV8mrQvWM7quraK6Ui4ajSHZoMn3suMA5iutTmXLoM8ABBXVtFzy8WQaxpdQL6HJW76p5er0M3WqUMpAVRGuLkJIg0lRaS1kHpGoFmPWsyv9L5FDuka6KUA4QUDoRUoISjURRE0rYDrRYIOo9iEvQ3AQ8di9gogTzrbaEfMRdWyKn36Lta5krPnY7pfuBin524CobgqlmGq06vDPF4YwAWb1PYPO0+jWhz3trWoncNVhr4rfhz35BHg74GJvkkaGJRyar2pQFYYtGTk1B2qFSIFP2aFI+PA/MhP466DqZeaJJ56gAAZqVJREFU6r3wJICNfQvwtyLu3vXXWWzEZBL6WugYlMJYLIIuYT7310VC3FdfDcJK3SdRFJpx5bm/XtIbaL+aGBXSdQhc6N5drwMNrz4gTRM+UwJDTc66B+19LT2JqlcgAAlNgJroZ7MAFqQhspN6XQcQbV0qkyR0UZ1M/D2tc6eJO0n8vS1R7GQSvpNEsBBSUwLWh4f+datxkO7ETuKq+tJzooWCrRLTcyw2R9/NshZ2kWEXJ1ajZQHK/gT/dqRDBhHnEPsxAIu3MSx7od/1EFkdhkDGfmWJzcFq0ta/Giz1HtGjYjMkKBuP/UQg4CDbZlG6Mg+SV4aEoNreOb+ileCzqnzpoxgRNcwS26EV75MAMt7KcC509FRPDAFHnU9dW2k0pCU4OAilqmdnQaegbe29o1SAPC80eVlRpZgMGbyJ3dIq3FY1qJ+KdCHSR/R96H1S18FfQxNxnvuJXt9ZwNgaR6lDqs6PequMxwF46Bzp/rX6EzlyCjiLsdH7VWartImeBaV/xDzINMyWjFpwo1SKwL6eZ107Cx4sQ6FzI3Ag4C49isYE66OhdE4UXWzfLgC8Dy5sOuWdng4ZgMWTEwOweAxxGXuxn/bQAGGZDZsusXXwolU12VjhqLYty2C7LPpdA6JAgyYQ5ZAnE//5y2UoUdVgNxoFoy91pjw78ys6TQK3bwfxnvw5BDBEiQ9xMZTrV88MVYion4eqMDT5aCKHQInL9Ep5fd0D0jpAED6KXRBzJTZE/hdlGTQ1AjLyvJBAUl4MYsLEkOk+EKtWlqHyQveuvieEyhXrgmk7lOoeVeWHWrprkha4gsDOCDAoPSMxqCblszO//Xx+saQT/P1q2Rgds4C71ZLYdI9SFko5SdgpcCGNjECKAIsFV2ItLLjQgsR6Zeh1aWX2xwq4numQAVxc7xiAxWOKffbChmUv9LtAgg3pKzS42Ry8BnMNchpwRA9L1Cnxl0r9ZDkuNbxWl8895wflmzf9YCyxnwbXKAqrbFmUHx0FH43btz3okHZDYEbnQPTzUO4aQoJblWJqgtXkI5CoVb1AyeFhuCbah4y2IFDpmjClBZC+RmZQtuJAdtvPPBOqVQRmj46CsHKx8EBEk6cmxcUiTHAytlL7d1vppLJL8Nucnob9WBdPGXkJTGSZBwGqCpHoUsBMQEBMmhrBaTs5rFqdRJIEIKJyUTEG1rDKaqAkNpX2Q8+5tBV6bvZLSG1FmMD3vqW3rSLRWCC2Rukvq2vZBxEPYi2GdMgQVxkDsHjMYdkLuDgIaMBS3K+0K0kulvdpZWUpVNGV2sdkEgRyKrOz3RxloqSW0FqhZpmfXOQmqdWYrJidC1025dZYFKHiRP4ZZ2cXS13l4wChAZY8H57m0Dno+zChauKZTML1ETjQpLffmfP0NIgtdW1kI6626GKnzs6CN8SNG4GNECjUql7/1/32nvcEIaqYEWkZJhM/gR8f+39v3Ah25Tb1d34eenvIPVT3p5gCaSuku5DXhe5ZlYGqXFWTss6fwLDauEuQfHwcJmqZcalKR6yH1VBAAGDWo0KTuwUhcJElkjZEKRMBPKWabFWYZTc0Hti+IkqP2pTEZeDiuqVDhri+MQCLd0Dsayr0mh4w+5A9CMmL9ra9KrRasoBFKyBbBqfctgZumy6RMVfThLJGCfyUu5b3hQUXWik//3wQea5WAWSos6tKJq1g1foGKLdsAdjTFkonqcRTOgClFbSiFjiYz/25F9BUMzNdY/DbNY1fvauXidgs2w/l8DCwVK+84gGEnQghCHff8x5/fcVoLBZholdVyXTqr70FQ2IL2tYfl/wkBGi1rRgurdhlbqUyVqX39Pyo34m+j8Sq0oQoPaiS2qOjoJ2QLmS1CqkQeWrod5u+UApRIQbGpjUFGuTQKUC3r9OwwEL3vF1YWK8La7Rn9TIWXFw2YV9VOuQqWYarTq8M8XhiABbvkBBlKhHW/kNlJ9XL1N8Kmf7s06banwYmTeLK09vPVy5ctLFWZNJTKG8s58+y9IO3ylDVRyNJ/EAdRX4APTgITMVyGZpXVVXo3qrVoqh+CfGUktH3Ee3/NIUqE6QRkF+DJkFNdrruq1UAf889F5gg+TVYC+nx2F8fAc07d8JkrklePhu3b/vfNaGInVgs/PvUrVV6i9Uq3BPjcfDoEJiVUFTOmgI8+q4QGAb1w5HTpyZenRut7m0qR6+rQRoEYal6v1ijLelAILAg0ooobSH2wH6OwIWeP2kn9PzpR5UuEJ4tWZfbHjTSi1jBtoCk7gcxHjYtYwXhl2kuhnTIEG91DMDiHRb7nhc29WHBxb7ewobAhQZY0asQBq39UrX9XhHzeRjclS7RitlaUQt8RJH/23TqQYIoabvqlUX5chkEgWpkpdLC8/PQx8JS2KpUUCpA4lGlVt6OstB3SohBsj0tBLIk3hV9b8si1a9DJacCDVbjoMZmMluTAHOzCVUMAnya5MRIQAAkYiAEQmV4pZLP557z+1CKRZ+pY3UuaHC0opfjp76fQIWqlGT+ZUWOAi26R20aRQJRlZRKD2TLtwVozs4uAhaxGbbiZr9EVM+IAILOmVKH2r/SMwI0Aghil6yQ01b56NxrnBBzYsWd++DirUqHwJAOGSLEACzegWHTIvseFxq44MHgAkJ+XWGrUDTgaSAWe6HtLEUtO2p5Wmhw0+rOlu+NRmHCE6Wt7wQhF354GFIjoouXy+A0qe6tcp20RlUa4KXof/HFwHAsFk9HusTeB1od63Wda5UDTyZB0BhFfqJN0+BPolSJrLmdC/bZOt/aXtdAGp4oCveD6HnbVEvb634RuMhzz2bJFvzOHf+5aoh2dhbYAjFeSrHpnlWp6K1bwcreHoeql5SiUDpI6RXt25Z4K7UnJiDPQydauc/qmVD6AkJqSJOh/e5iSrRPnQftQ6yFTVHCRSdS21pdoEITurUEt6kUPc8WXFyWDnmnsRZDOuT6xyMDiy9+8Yv89E//NF/+8pd5+eWX+dznPsfHPvaxt+DQnu6wq30NBDavbF34HhT2PXbbffMdy17oQdbgJOpdbabFSGjAHI9DOeB67cWdGsTPz8PEpxWuJp4o8oO2jLvS1AML5dllvKUqk+XSv0dukhL/afU6n4cOmXJLfBpWPftAylLlyvOfnQUAp/JOpTHqOrQ9FwN1eBj6g2gi1+RnwZ1squ0qHUL6BMKqXJOm/E76PmwjjwndBxAArfVrsEwMBIZBTITMvwQmJGCV8FN6CVlvw8VW6PoOKodWqnA+D9bip6eBubOsolIWNkVhAbyYB32udEsSjO47a+qZFKsi8GLTpXYxIOZE21hmY1+fNKRDhngr45GBxWq14tu//dv523/7b/PX/tpfeyuOaYhd7Is6NXjo/1qpvB5wYXPqGkBtTlZUqgYfKzTT9spHixpeLMIqqij8ZCSAcXQUAIkMsjTAS3+hagMBCmkpNKEcHQWAcOtWEBZqMtS5mM/DalGrXon5lF7RyvppDKUfxDpJ+6CKDYHYoyO/rVqSyxFT20qfIO2DhJii9xXys1gufZrCVnSocZ6AhLQ2Kl0+PLyYptP9pTJOpSAmE/9Z2odSQKp6EZug+08gNI79cc9mQWCs5wMulnjKolzf8fAwVLyoVNZ6X+g86v5WaanAgUC7PZd63gQa7P91Xq3mwoJGsTIaI2xZqp4FPb82var3C5RcRSpjSIcMYeORgcVHP/pRPvrRj74VxzLEJXEZuNBgpcEEHg4uLlOTy4hI+7aMhR0o7KpMQOb42A/WSmfoeJQnVs64LP02MnHSvrUyHo9DKkXtseXPoNX20ZFnQb7xjdDaXboAu2K2g62MkfTdBWpkJf20gYy29eBM52u59NdQ2hhde2lYnAvunM4FJkirZ1VbCDTonlIZpPwfXn01pFdsukzAWIJdTd5auR8ceM8UpXI00Sok8lWztKYJ5c/6vvsdQzVhC0zJtdQKUAXANEnb8us8D1UhYk5kEictkLRBNr0osGEF0lY7BBd9LWwllC1dFfjXdhD2ZUGFBRqaoPfZJIGPt4K1sNUrbzSGdMj1jrdcY7Hdbtkam8XFYvFWf+QTF/djLuBimeaDqkXgYkWIXSnZidYCCatk1/vt6k65e3kUSJSmwVmTgaympZVQKkRuiMuln1hsvb5MmESN57kf3M/P4etfD9UkGoC1rSZJsRuHh0EX0vfwrnddTLU8TWHLQzVZ2Z4hmtCVxtKkJ6+H+dz/rony9u0wMauyQvuTLsKaSildpSoWXTPZZdtKElUnSSdihZd9H0TAcie9c8c3GTs5CYBDTd2slkjshqpbosjfI2LPZOQ1HofnTsOXdfBcrwPosROqzoM1HtOzKvGz7nHrX2EBgcCI0keK/U6mOj6dO11ba89uK8m0f50LAR3t6yrTIVcRQzrk+sZbDiw+9alP8RM/8RNv9cc88bEPLiyQsIPF6wUXcHHQkVeApVat1kLHYD9DVDME/YX6RGgSEEVdln4gF02uqhMNlDJtsmK24+MwgFunyMnEr75VuqrSQdsEy7ojKt+vCUxukeOxn5Cus724hICPEkovSJwpwKiST+kJVPUjW+t9F0qlL1S1kWVBAAoXKzusO6S8I2TY9fWve8AoPY9NG4ghUDOvNA0+GVYg+cwzwYJbAEL38rPPhslWgESt1GVTf3R0ETTo3E6ngQ1TakhgQNbiAsW6P5WqEzhTag4uAihrxCVAsV/dpPJVywhZdmN/AaD970/y2r9N11iN1VWmQ7SfqxBxDumQ6xlvObD40R/9UT75yU/e+32xWPDSSy+91R/7RIalUuEik7CviXhUcKF9izXQ/u1+tRLTZ2glqOOZTv2koe6oVjyY536Al8BOg6oslzX5CDgJcCg9IhMt5dFVenj3bjB00oR3mRhVlQ4QJkNVJmjSci6UYV6XEKhQiuP1HLvdRpOodXVUZ1NV6iyX/jVrqa1JU4JOazwVx/79EmFa23ede5m5yYpbpc2K+Tx4WEgw6py/3qrUEJjVql3HrOdCpl5l6YGH9DeaWPvef6b0CwIAqpaBUFpqPSmUYhNoUOmqdB9wcVIUkyMQpDSFSrwFnmxZuAUPet0CDC0sBK70HrsfuzDQ36yWah+IXEUq46qrQwbW4nrGWw4siqKgUJOCIa4kLlvZ2Iduv0T1srADlwUXVumvAUY5X9HRdoDTKlOMQxx7elzeF7ZJk9iIs7OLufnj4zAxORc6p0LoKyH6WiWPWilqcrl7179P3VwlDhX1LbAkat76Dli6uixD8yp5RFyHEIPwRkGRqh1U6SDtS1F4VkciWysYns9Dyaet0qgqn3LSfjTxQtAI6VpLf6HXwV/ns7MwqUwm/ufmzZCu0L2n760fqwcRc3FyEnRBVnehiV36DAipuijyDIgmcN27Suucn/vXdL9KtCxGTfeQwK0YPD1H0nXoWHTf2uu3z0iIBbHaC+0LLqYwBfjtPrSNgJR1s72M5XgjMaRDhoDBx+LaxmUunfqxWoyHgQu7mtFDbNkLDfh2ZWodDJW7lemQAIMqSAQqpLIX8FgsLubeJ5Mw0KvEUMJQrRrzPLASWjUXhd9Xkvh/5bIoTcXhof9sS8lLJCgBokyfNKiPRh6oaAXcttejb4nA05sJVeUsl76fhwCGWCbnLjbtKks/yeo8i9n6xjc8uFCqTCBO9wmE1JR6eAh86L67ezcYYh0fBxt4VbbM56GyRdoFNRfT8dS1BxaqUFLJ7fGxB0xiTrrOfy+1UJcOSRU19sf2AFFqR4wGhLScbVQmwzgBIjEXMsqSV4WeIW2r/Wl76x9iQYcVadrYn5QtiNgXdFpfnDc6kb8V6RDta4jrE48MLJbLJb/3e7937/c/+IM/4Ctf+Qo3btzgve9975Ue3BAPDg2I+ymQfaHno4CLfbW4BlmxGDbHa8GFBkcdi1T4EJpcSUQp4GHV7yK1RFXbPg1qiqVJpuv8/o6PA/DQCvTsLAAPsRnKreu7yaJZDEzfh0lHjbWOjkL1hLw69L7Xe12uc3Sd17GonbhSWJp8tNIXgBSl71xIg738cnDYFKhbr0OlicCrtteEKg2GVumzmf95/nn/2Scn4d5R9ZD6hQjIKLUhtuTkJAg/69p/r9nsItNjrcLn8wAK7t4NZdYC4AIyXeePQe3jlYoT+6LzoTSRXhfwUHWTBMoC41YbYZ8//S69hw2xFNI16Xfdi1bwbccKe82vWsR5FSzDwFpcv3hkYPGlL32J7/7u7773u/QTH//4x/n5n//5KzuwIV5f7IMLvfao4GK/BO2yVZAeaoEDqyrXCksrOlt6qCoNKe9tV0xpHWz/BU1Q73ufF/apnbdWpF0X8tmzWVD/W+GnumTKpKvvQ4WA7MPPzvyEI5GhVqzqeqnzaEtbZSP+oHLV6w4qbIgNOjoK94JYHGkmdJ/oOijPD8HvIY79dRbjoa6lWqmLMVJVkVJjVmT4/PN+AhcIEUA4PQ2M1MmJ11OIbRIbIq2ItD03b4Z27xCqWPSvKojENtgW7DoPSumUZWDmBFzEqAk0CAQJXCidpHMloKDjlWhT99J+ukKfYytArDBT10nAXYDIMgA2jaKwKZM3GkM6ZIhHBhbf9V3fhRt4qXdU7IMIrUQeBVxYgHIZuNA22oesilNzB2kgE8shutj+LpfBszP/ugCDNQySEM85P7iPRn7CAD/AF0UYUKW3EGuRJMHPQGyEfBXkm6E8uFatd+7492iiEM0uIHN+Hioe2jZ0y+z765EiebOh0lJNprYyScxF3wdNhpraaZIGfw2l07D3hbXPVlM1pRXEKKlMtu99esZOuFqhS8S6XnumJYr8tVMTNud8Z9Z3v9tf6yTxTIQYGbFh0vDIHEvHo7TJ0VG4h8UM6B4QqLJl11Y3IibN9iixaUJ7D+s90l7YfiOXsRFWwClgoWdKYMMyFPvjgU2LXMZcPkoM6ZAhBo3FExA236qBTQP7G0mL3A9c6P8SoWlAlMrfdnwUg6KJaN8YSN4W+ly5Iio0qB4e+t/lGqmmaNbuWYp8DTwCIsqFywtDk5gGKjVFm8/hq18NKR31hBD9LQGq/AXW60BbSyMiuvtJjr4PLqYCfnK2lP36iy+GSU0TqPp8CFgqnabzpkojvUeVF/qbmAS5XupeE2ulf8VMgGe6lA47Pg6MwmrlXxMTIxA7mfj7QWBHzdGk7dluvdmXBKfyadE9boWk0knovhRzYYXQ9hmVvkFl0rYlvdId++JLy6YJCCkVCQFwXSbetPuxz/Y+uLAMx6PGkA55umMAFk9IaLDRw6dVjl63A5oVae3vw4ILxWXgwuavtW8BDHs8NjSoKQct+2Z5pikdYg2b1MdCNPKNG371rJLWzcaDAwgljnKVtG2wpZWwjbRUHXJ87P/26qt+tSsQY1X7EpfaXhYWYEgbIN+NJzWU6tIErZW3ykVv3gw23jofELrjqlTY9rPQ/8V8qDJDq/uu88BF10/Mk+676TRMxvN5ABe///s+faI03OFhANlK58jH4uTEsxH6jvrsvg9maxKP6nht51HrB6E0ju5F3Tu2/Bouphlt5ZV1C7VCabgoqIaQRhR7pPdL6GkruGz1k45Fv9s0l12gXEXZ6VXEACyuVwzA4gkKTdgaEC1DYQWFrxdc6Pd95bkGC62I9HnSTgjQWHChwVCDoFZcBweBBl+vLx6j2m1rNavUyfPPh2oQCGkV+S9oO6U2xCycnYXVpYSEmkAODvzxjEbBPEmC0+02rGYnE3+sTeMBjcCHVt36XqLwHxaalK9L2O+ke+Xw0AMyCBO12q6rS+pmEwDbbBbuL03wOt8QynyVBpA3inQvul9kSS9djpiSgwO/j7r2QGC99p95fBzAUBQFEy3bzl3aB020KiHV95F+Z73231uVMbrvdb9LCCx2Rr1LxOTpnlZ6ab/iSgyGngPrN6FzZhcOEteKGdIiQs+anl+NCXrG90tSLTB52ELkQfFWpkMGcPHOjwFYPGEhcKEVuaVHHwVc3A9Q7P9fA7EGwe02DIZ2BWQ/064a4aKxkO1IagdVVQ8oj63GZTdvhtXa2Znffj4Pq0JbJlgUofX7ZOIni8UigAO5LE6n/u8qd1VzNA3Q8m2QhbhKWHU+1ENF2zwomiZMoFdRLvp2hvQxuhZKbZ2f+7/NZv6cWP2CQJTt+6F7ZTr1ugexGKenAbxJbyGmRCv2OPagRn4YaoSndITuR03ks5k3atM9W1XB9VMg1Bq/rVb+PUr9yJnTOf/+w8PwuUqDyEBLn79vQmYFm0q1ifFQKar2r/MssGCBv54LAQ4932Iu9DkCKhYoWK2F1WnYBYH1snmjWoshHfJ0xhskuoZ4J4cdCDRIKSyYeFD1gt2HBQH2obapDZsSkO+DAIRdWWlfNq+rcs7x2E9Qom+1f2t8pElmPPaTyXvf66sApMJfLHxKQ0K/2cwP3moBfnAQBHhp6rcpy8BMKD1zeOj3/cIL/v+qOFG+XBS8jk8gSrqNgwP/HmlELjv/CuX/VbFynUIluZvNxfJH+YSoC64YhTQNVRdV5YGE+nOU5UWzra7zk75KgSGUaMot1XYsXS59iav6mqh0WZqcW7f8cartuQBDkvhjkgeKqpo0MYstKUv/c3QURJvf+Ib/DstlSHPovhbjpnJY3btiNnTP6V4XQNBzpGZ+1sUWLrIKEJgyATQ91zo/Ns2h7ydwbnUedjzYT4u8kZSGHTOuIgYR5/WJgbF4QuMyZz2FZS4eJOi0wk8r7rosLaLP1ICr1Z7Ebzqey6pPLLjo+9D62nZ+VEmfUgcqH80yT3HLmTGK/GR086YHDaORf78oeE2Eyk1DKEnV6lX5+83GgxZNQLYXim1spsFcnyX9iIy2LDUvRkM6AIVMo+rafxc5j16HsKkcXVfR+yovlrBRE6p6hahCCPz1EoBQCsKms3SuZUylfdoUFnhg+dJLgd1aLHxVx2zmtRS2KsP2Alkuw/2qdFaSBH1O3weDrTT1nwMhDSRWwbIPAsk6R0rLjUYBIGl77VfnSboT6YIEnjXBWqdVW7EjMCEmT0Joa/ylcUHXSWBDz6hlL6zw+1GZgqtkGa46vTLEWxcDY/GExr6+QQOQwoq29v9mw6469tmK/Qdd22sVqAoKKyrTAKpj1GerDHEyCQOyBnMdr3wEBHC22yAkLQrPMBwdBUtnWUBHUfAsEG1vc/KTSWA3JDiUPkAVLO9+twcZx8d+X5bF0GRi8+OaFJ95xh/baBQqBDS5XBYa4MWGXLfQfaAJSrS7GsZJJyEBqLQHi0Xwo1DaSZO60hm6FmoEpkqc1Sq0ZJcfycsv+2MZjYJoU+yIbL6lSRAAybJgSS4vCq3kpVcQICwKn1LRZHznjt+3GBULTGyjveXyYuULBACtzxXwlqeKmqPp71Z0acu/BZbE8Imd0I9lRay3xX4ZsV082EXHG2EurpplGFiL6xEDY/EEx35FyP1q1y/7mw273WVAY18Ypry66GG1t0737jaBBlWwSE8hFb4d0DUoSjypSVwDjd4j34uXX/bbnZyE7pOzWWAONGhbQafav4saVr8H+TIcHYX+JHYFqFJLW6UgT4fFIphqqZpAlQZ5/lrmQkyJwNk71WxLPiEKMVI2dL+odFRMkcp+JYjVfaGVubQbOtdKIVRV8J1QumCz8a9p5a/9iEWQ9mEy8a+fnQWBozQKmrwFwKWNEANlv6dz/nofHweTL4GUb3wjgGNbPaR71Dq52vQOhM8VS6H3KbXiXDgOsQz7mgvpKSwLoeO3aQ8xbFbgrefLVpAo9pmLRxFzvhXA4iqrTYZ4a2JgLJ7gsAOJTWnYv1ugcD/mwm53Pwc/bWcBx2wWVkKrVVjJWepX+9CkJKZC+XZ9pnMhxy0dgtIF2o/U+fO5Zy+efTaYY0lEpwFd7MF8HnLhSeKZC5UoijXQAKwKgHe/22svjo/9vp57zk9g0l9IEKqOrmIrkiT4ZmjSmkzC/xWqDpCb6Dsx7GQLoceLrplekydEngcLbQGF9dqfKzESSpNohS0LdVvldHoattXELZ2FyjL1mScnvioEQimywJ1cOMV8qUpIbIrtDxPHnu3Q50ozoXtNwk4BWbEnttJC7IRYD/s99MxYQGBBtVgapYF03Hayh9emMrIsgDulj2xIzKnvaAGEwlaHWYD0KHGV4OIylnSId14MwOIJj/0BY5/OfBRwoYd6P9+qwdMCCw188hjQSlzpC5sW0XvshCH/ifE4ULcqIZVrpqhrW+apSTrP/eT/4ouhr4M+HwJDIRtlKy6czz1ouHHD/1/fVxbUs5l/3zPPBPHnwYEHEaoSuXXLH1sUedBhdRpZ5l+z30PHoPOrCUfGR/tszzsxdJ72V+NV5ZmCqgqdSjXRCVRKVKmVuSZ8raxtR9zz89dWUUiDoMZkaj52cuKZBFXf2C65El0KVArs6P49P7+YRhAjoAolaTwODoJQ9OzM/wgQ6Z5W1ZEqS1ThoudE31PX3aYjJI4WoyCWy1ZcWQGm0jr2+bLlo1awaV+zqVMLdG11iL3WrzeGdMjTF9dguBrizcb+g7hPZ+6zGvdLi1y2jWVC7H70OZrsBQ4kLJNAzoofbTpF4kwrLJPoThOyKgvEDth9Kr2iksdbt4JYTitIa4SkFV5VXVT2a1JQdYLKR599NnSsnE5DK+/x2E9mmij7Pkx4Cq32b9y4qA2QoFEAZl8o+04XdSqFodSRpe816cnoStUR+63uVZlx965Pa2kVbu8vgVQxEBI4xrEHbAIq6vGh6oj5PEyk2udm44HHu98dPsuyAapo0UQsJknXS4yThJs6Fn1HpbMkyrSVHtJOiI2AixUpYuCsOFjiTHWUlTGYcwE06Z4VELGpULgozBT7IGC+L9a0oF8szOtJn9oY0iFPXwzA4ikIO3Er9geFy1Iml6muta8HgQsBBA0A0ilITGYV8vv5XfseCODCTlCqDpnPw+pRuWnpJeRloAFT+9CEYx07IZgtaTUtoae+j4SE+u5nZ0HAt1gEIHR25pkSrVzl6dD3fmXrnAcHortVXjmb+Un37l0/ochgSSW2ECbdR1ktvt2hSf/GjcACiGnSZKrvLh2F7kOxBRLFvvqqT0vpvtAKvyiCX4lYJk2oq1W4ZzRxS98i4KY+MCpPTpLQol0T9+FhqHBShZFzwaVVwM+yJfa5kA25hMTqE2LZCZum0H0qZkppIQty4zhoQTabUF1iWQlpUvQMKb2iZ0D/Km1kXU9t7xI92zLcs4ziGwUXDxpXHiWG6pB3fgzA4ikJK7K06Yr7gYsHlZftgwkNRvbv8NrVkAYu60opVsBStRCU7UqL2GNXHllpC3kEaJ/WPEkrxuk0sA7ah+yWNQFpkJfIUwO13iOmRZbSsjRX7wi1GZdTp4yyFotQnqqum/udO50L1QtiJWyHTL1fE6ZSOu/EcC407To48K+p0mU/P79c+nNm6XjLRqhxma6ZQMTdu/79ErnqHOm+0LVSGkk+FWLNDg+DeFROqt/0TUELIWZCE+8rr3iQo/LXw8Nw/dQtV86xKoG1nivOXTRZOz0N5dJW/CzBJoRzYJk8pRVVjm3ZIT2HVlir1/V9LENonw89U/ugQcyHBU2vdxFi4yqBxVuxvyGuNgaNxVMSVkdhqcl9OnFfS3EZ3bi/zf7+7TYCKRqMlH6Ai1US+zlevaZBWhOEwI4VoslF0zIiSsE4F4R7Sn88+2xwg7ROkFqRacBWmeBs5gWaKiWdTsP3L4pQEXJ87Pc9m/kKktksiEF1LqS7sKWsliqfTPxkLEpeugAZiE0mwYnxnR5N41kbnTfw586yFHCx3PL83P9fugJ5XAhsWAFl1wXthu5V6+Ggfh1HR/6cakJeLkPpqa7D2ZkHD4tFYLf63r+3LEOV08lJEGmu1xftvcsysAm6/5Ua0eQs5qFtAzgSuNAELzCh86B/9VzofO4LTPVs63P0HjFHtsW91XTo2lgzLZsS0bO7P25YQffD0hKDzuLpioGxeIrCKr4fxExcRnXurwou28a+ZoGFJk6bJ1dXUqtKF/DQal4Dl+hzgQRZJNsumaq4UJpDr2vVKfpbxzSdhv4KAkcSXtrvrAG0LL3p0te/HkSI+u6jUdB6CLicnFysNlH+XRS5AIMmCFHlx8ee+RAt3zRhpalyTVlRv9PTIhB8HbTShmDhvj77DA1z6npLW2/JSKjbmH4d4VgxJmHMhvYERjSsmBLR0ZGRve8TnJ4GoCXQsX8tlTaTC6pSU/Y5KEt/Pk9OwnE/+2xgSI6OLop/yzLYgMvo6vjY31NKy7VtAH/OBS2JXpf+4+QkVBeJlRLbYgWWVvBsUx5qzqfnyj6DSg1akauuhQCD1VvpWVXsMwL7Am07qT+I4VQM6ZCnJwZg8RSF1UfYQWJfzKlt9ynRB+3vMnBhxV+iWu0gCWHlaUPumgIgyhdb8yhN0BA+L00DO2Ep9CQJaQhVAUBgDDTRiD6OorBCFl2s3Pbxsf/bchkmL+XSoyjoOm7cCOWLSeK3vX07pDakN7B0u0Sk+gxpDsSszOeh26vaiV+XJmY6Rk1GZQkJLQnnxOQ0jOioienoiWiY01BTk/AMFRkbchznxER0NOuQjtA9pzSKUk2qBrJmUnJ1Vcrp9u3AQEWRT1FAuGf0XjWps83wVJUkMKHUhu2JYu9BiYwlwt1sPLCQSFMARxVQEoAqTaR7XGBBrJ0qXuyzpedSKTNN+tJXiE2xLpt6nvWcKqz2SefmspLT+40TiiEd8vTEACyesrAPo9VGXCbCetjftc39KkM0oO7nZ/U+uJhftiI1K2qLorDiFY07HgdXTau9UF59NvODvj5HIjoZaYmOlp+FvBa00rMDt3LdEoQ65/9/506YODSJ5XmoPBEroclGoj6rM1HZq0oIJXaU3bR8HfQ95nNP26uzpkov3+nMhUIeEH0PjgI/D9XM6KjIaIgoqHHEdMSsSIhxHBARU1PiqJjQdRcrZAQmJMKFUKXiXNAiWBZLjJnYJaUZ1MxO2h+VsGpFn2V+f2qYJyBw44b/XKU/5N0h8GdNqaTjWS7DNVS6T4yUHFwh3HdwUXu02VzU6eiZs4ZfYnTs+622yaZELICA1wINCy4uS4E8SMw5VIc8PTEAi6csLMugAeZBIqwHOXfC5czHPmW6rzS31KoGUv2r13Vc1k3Q0ukQSkVt1Ysm4Sjyq0xN2AIDardt8+CaxDXhaUUo06SqCroAsRrbrffIuHUriP/kUzGdBrtquXxKM3B6GvL8Ykqk9teKVaDHum/a/Phzz4XJUOBDlSfXIXSdelLA4UjoqClIyEiJcKQ01MRsSDgnJwZGO2ixYs2kD+kJiTPVXVRlxioz1f0E0Pz2P8D1HaN4QzFJaZY15djh0ghXlWxcRR3npONzJs+ckmYb1kVN/H///90DL9tt8K6Q+Zq8OiQe1fHEsQcmMoqrKn9s6qy7XPp7SIBAFTGa8JWO0X1g0z0CI7rXrBDUmoXpPUrRSONjq0n0jNuyU32OLT3VPbi/gLDbPQxcDOmQJz8GYPEUxv6k/7BKkIeBj4fpLew20lsIhGiVKAAhoADh7xoMNbhBWKUJBED4fDtAzucXmQuxEipbFfuxWAS/DR2j6HClLuS8KYW9jK7SNPglzOceaBwfBw8E5c3Xa2+qtViEUkedUwErrbhtiZ90ACq3BL9/GTgdHATHz313xcviMvvtNxf/m/m/Ax48wnfdhq7rSIlpcKT0RIxZ0VDS0FLSsqYg4hkyVqR4PJfQU5NyfE8QKfBgDcTEZNhqHjXEa7bQZyn1puCgaImKmISeyDWUk5blasSmLeiWKYlzvPBMR0TMOAr3w5074V6QoPbsLNh1K11ydhbOs4Bp1/n7QAJf6zCqew6CvkYgUykOfR/dj7r31d7dikQlWJbduVJuq1VgQyxzaHUXeq7s8wYX05lwEZzovQ8CF0M65OmIAVg8hbHPWjxMb2FXJ/cDH/uiLpuz1Wdq8NEqzLIZmuykQbDCSVvCp31oPzpWifes6l2TjXwNIKjuVS4qkCMAovyztun7MIFrELXVJKouSVPPIty5EwSFN26EtIiYi+XSvy6LaPXNEMASI2IrH5S+UUdWVS1I16H0yjPP+P3v9x/Zj/uDiv8FPySI+qiAFjjgIlhouTh09IQCM21XA/crXRkBFS05cH6PnRhR0TLCkVIypqIBtqS0JIyBc2JgSUuz+X/jNi05K3hly7NpRUdP3aUkUUeVJ5DVRFnLuo84OD4nSmoyF7FYP0sUJ2zWG1yUkI8aIiLSaMvhwYKz85ZqNecWNyCDzXjLC5ugj1guvTZDjqqymde1kPZFot6zs5Aa07UTS6U0i3qpyMPEuZAO0Y9SZAI4Vryse1e6IT1jYgVVYaT9at/7wEDPlO53Paf6UWrEhh0f4GL65LJxAoZ0yJMe9yGshnjSY/8Bt6uLyyh1Teb6+/6DbOlm+367IrID0j6bAWEgtJSutrGrNg2GNk0jvwmlYvQZGnild9DAC8FXQd9tPA4DtxgE9TtRKsMOlBJqjseh1HQ69YO8KgCSxDMK6g8iA67p1E9MR0d+W6ve10qyKEKKZjIJfThs+kcC0IODUJ0g74hHjy1+SEh2/47w4GCx+5tCoEIIJd77OwRQYW+mFaBcVrl734w1I0b0jMjJ6UlYURHRM2XNjG4HJ0YkpMTMOCGhpSKnY0THnLN2TLtLo/RxRNQ1NF1OVY2pmozN2RjnYHKjZZRtiVrH+bqk6zKWZxnn6xFVn5P28K7pKcVsSdc3nG7GrKuCb3zDA8e+D+XSi4UHnYuFvzfGY3+/KOUgtsumvsSILRZhcpedu3N+fzblIaBpJ3x5Vew/N0rL6D02NamwZdQ2rajfBR6soBjCfnRs93v+7YLisu20LVwNGNhPhwzxzogBWDylYSf8/Qn+fisAy1S8HvCh1yxoser0/dJU/d2a8tiwn2nNfPQ3TdD7uWMNdOoqOZlcFF0q7eBc0FvouGXypPSOmk4plSKBaZL4Sf3w0P9dfgxaPY7HwSlRTIPcQw8OQs5bPh8CSRDSIwIaURRafgvwOBfAS1l69uJRIyECNnjWoYKdtDIhBS6jQSxrkd1nr3aIGePBSLP39wl3yNkACY4JjpKKhC0dBRVjHAUVCeDIiZhyypQtK1JOiFgxoWojkjil61JcFFFvG6KmY7uecLocc3Y2Z9tMGeenlKOOcd4TZz1NX9CsI+7cPeTm+Zw2TriRrSjzljSpqKue5dL7XHzjG0EHIwt467+h9JhEuBLs2kZn4K+XbMGVCpNwWKXLEviqskNCUd2vek33jICI9rGvm9CzYj1QdM9ZrxELMGxaDi6Ci/2wwF9pkfttp2O/irjq/Q3x5mMAFk9x7D+QlwGD/XgYs7Gfs9V+9br9jH0hmv6mwU4aC6vIt8eqyV6v20HSfpb2oRp+5cflDyG7cQ2uURQmf4ENrVKjKDQQU+5eE418KG7cCF4F8qFQOeJ4fLGtehSFXiLqOdG2QYwnliKOg67DijpFO2vF2zShO6tEg/p5WOR0+Im/JoCAbMcxlFwOLhQRgcGw0RJYi4jAZLjd5yjmnDHijJiGhCmOnBU5LR0tSxIcGe2uFDUjoeeMKQtSHBtGrDhk1UGWdlR1TpE7XOoo8iWbKmOxnrE+76m2B7jI4aKWki3ldE1RxNSrkrPFnFfuHrF1EMcRaR+RjCOOjvy5vnnTA4ybNy+CO1VfWH0OhPtWzpyqEFK3X/mSWEZC2hs1S1OKQuya9BditvYdZ/WMCJzofbqPbEWImEClTGw5q45f6UP9rtfux0ho/zrW/dTbACye/Bg0Fk9x2EnZvrYvxNyPh1WKXCb2tDqOfbrU+gxYkZj2K7ZBCncZ/NjyPA1gctC0Tbw0+CrX7NzFtILKS3Vcyi/P58EXQRO+Bu/nnru4UtVgWpYeWEgkl6ah9FDqfX1ffaYswK2XhehuaUecCx4W4Ccp9ZLQfrIM+N3/JxVLjsYOt57gOKAmBdZE5DRkwMRcrQY/4UdsiInY4MjwE3+7+1tMRIa7BzoSxGZcjMuGk/3Xot1rFnAoZjgiNnS0bMjod94WER09Z/RMSfBqiiMiGnrOmXNOw5qaGStyuialpGFVjZiOahoHSQxN1bOIJxRpRNXnTPIaRi0HxZo67ulcxXLzAmdnLU2dkmVbuqJg3IL78vfzQt5ycjZi1eVsM2jzFceTM6K8JpksyVLoyKBrSbscV2e4tMH9uS/cs/NWN9v12qdHxJrJJt6KM3WPbDbhvrGCToFdW0Gl++AysfP+AsI+e/Y5se+zmiUxEmrmBwFEXSbohuA9Y58du9+hOuTJjIGxeMrjMobiYSmRh21zP+bDshZWj2HpUgtS7ACp3+GibbM0CXpNDASEv2kA1cAocKG0hB0YtaLTaktiOglK7evveU8oa1yt/I88Dp59NjAQYhN0LAIqEv6pGkW25GImNPiq0ZQGaPUhmc8DEBGV3tOSZlOaTcKz0yU3OGOEo8CR05NTAyfmamUETUWKY0RKi5/43e5njbsnxuzxWol9duJho3lPYCii3ecW7LMg7a7EdMuEDWMcNV5a2TPDERMxomZLR8WUnkNqMiY4Elb0OziyJaN3sNikRHGM6zvaPqdtJsRJS7tJuHVacuf2hM12RD6qODhoyJNXcIxwQNPN2CzH3FmNOVkX1HXM8XzLPKtxDZxXY15dHXG7mrOpJvRdC66h6zOiuibNe5rWMzRqlS4bcTlnyh5cE7AAhH5XSaoYEbFSEv5adkT3v4C27gv7rOm9+8+f1Wvss4Lat0116BjVe+Uy9kIMoj7HMhcDa/Fkx8BYPOVxP1X166kCedA2ln2wrIbVTtgSVCv+sqJNDcB2ULO+DhJaWqGZ9bxQDnrfvVBgQ6tE0dFauQkQORfMtVRSOh4H3cSzz/rt1Ajt/DwYMB0chMFfdLYd8CE0LVMOXrbkYmR0rpMkOHGCP6b12k9EWg3PZnBOR9f0lGVO3SRMozWRc2yY0NER7wynKpbAVFdz929OQkdLhwcU4MWWOSMqNjg82yHgkZj3O/Pj3xNiQxCCKt2S77ad7F7TvsY4FlQUjHFAQgbURMQkJFTE9JQsqUioGVOTEnGXnJaCjuIet5IwpaeuI/K4Z92nvkyzzKBv6LuEk7sHdC7ixeca0rJhNs/ZNme4BtKipmpTknXCrfqABJiMarKiYUJLH2U0TckpEdttzgsHPdNyCQk4CuoqIy3X98SSq1VIlajxmsCA/FJUhipHWDF1Z2ehSimOwz2iVJru7dUqaI2UfpNhljQb9nPFctjyUjEW+r8qPKTzsR1U9XzbDq2WoRS40L1vQb6er6uI+41jQzyeGIDFUx52IrcAwL5+P3px/70PsgW3+7B17nqvLSO1ZaV2pQ/B2VLgQkLHPA9pCws2rGGXPkfHqTx1UQRPBAEAHav2o+oMpU4EDA4Pw0pM4jwxKWIalJqRYE/HJItnsSjSYshISedIPU1Urii6WmkfpVM2G8gTaKOIdd0yLSKaNKFoGhIqaqAnJSUhZcuSBD/B68I5up1A0oOBAs8stGxwFGzZ0uMByQYv8Bzde6//iQnAQ8OLtmH3Wb6MlHspF4GRxGzvkyAtHSUlHdEOChVkrBizxbFhSwHEnHJARse7OSOip6SnwZFkEa6LcFFK3jd0fUK9LsiLDV2Tcb6NyTZjbt/tOZyfQtQTdRnlvKHdOrK4pdqWjFzLYjvBuZiiaHAktM5xozxnsR7Rpo5i/QJEtxiXNS5xtF1GVI1p/78fJhmluCqhcgV3J+fUxTnzCaw2CUW8ZdNl1F3JMu1pkoqjacXh3/y9e/bgAhm2mspWTknzI/Gm7m3dY0obwkWGUAB93/pcz5/YDJs+sfonPSMCDfLA2E+7CFzYVOeQDnlyY0iFDHHf1cOjpETgtWLO+6VELICw771fOkZgQWHbiatpmFZl+zSwVcVbgyH9rtW+BJqTSeiKqsFSk7dKTwUQNIiqI+l0RwAsl2FwL4pgG66yQgED62sgd87j41C2KMZCrpz63vo+o5H/TKVrigIi+nvyhW3dkzlIi5goaYhpOaAioWFMxyErglcFeCDQECo8GmBFREpEjKPbQYUlAhyhfFQlpx0ekHRcrP5QOLwQlN32+myLSjOgoSUhIqJjsesn0rIhoeaAEpixAU7xjElJQ8L/yTFn5KRpTRZ1bOqUKGuIopqWiI4U1zjabkSWOHK2bOuM5XrEZjOi7jLoelarEVnhiIuIfFTTupSmiWjbiHVTstiURG3M3dWUyagmzWIWSzhZH3O+zIkdOCrO64LOlSRdR5rWRNGWajVhW084Ocup24wuTpjmNUXR0W4d237Mohrx8sv+/tD1hfAcyHX0/NyzGSp51XbWwVVA3Ao3rVBTLecFDPQ8afv9dKWeKTtuWPChZ1B/s9Vf0mtYQemQDnnyYgAWQ1wAAPcDF5d5V+xvYytB9v+mfdjXRfHbv+2XlOo1KeBtikSVF1LbW/8J+zkWXFiPDK28VPev/gsq2dTAbFMo0mRYTwH1JlHZqI5LoEfHKy2FAIWloHXsk4kXf6pqRFSyLUcdjcJ3E+NRljtfi7wlyyqgIM6gy3qibc0o6slIiEmY0FHSENFxxDkXPSjmeD1EhtiMhHMcCTUT3AXgAZ650KyTEYBKDvfKV21oKRnjmQmrvbA3zxQPNkY4cqCiIKGlpaahYkJDxugeOFF5bMotbnCnLehdRBq3NFXBeN6R0tHRU/UFadTSNY48SmgdrFYZy2pMU6Ws24J2E3F+llFknjaKsoi2jlltYRKtmZQVp92IrUtZLGOc63FpwrJJuVvf4GxbMIp60hhubw9Zbye0Tc5susYlNXWTs20K2i7lbDmnIWNaVBSjjnG6pNtpF05PvRmXqkPktaJ0n9Iii4U3XdNzofSKtDoWXNy7ElHwtFCqQj8qMbXPnfXXgAB8tS+xGA9Kr4rBsymZAVg8eTEAiyGAy5kFvf6wB3Zf5PV6mQ8NNAqb+93/bIkyldIQCBD9q9yyNBw2rWP1HRbMJEkwGrJW4hJ1Kk0C4e+WeYCQaxYoOD72/8pbQjbbAhyydpa+o+/9v9YbYTbzVSdiOzTIa78CPvo+YjviGLIiYlw0TKcbXJtR1xlkEU3bk1ORJRF51JPSMKMmpeWIFRfBhdiDFEjJ6CjZAgkdJbDGsxHj3fuq3fYZYUjp8YBDzMZ+JHCvQiTabbs/HCU4UlpKImK2JESkdPS05ETktEzIWBIYkhrHhCUHrIhZ9ylJnLJZpoxGNWXu2NKzaSLSrCVKvf1WFBWs1gWujYnjgiZO2awmVKuSuKlJXMO2Lam7krNtQRp3PF/ehQhWbs5qnVPXEW7bUTc5y+0Bp+2YmIZR0nDelNSu5Ox0RB53xHFPmnd0taNrUxbLMctVDFFM1ReMsuaemHe99gLP09NQWWSfn/HY3yOrlQcXeibUhM0+R9YQzlZs6W/Wy0I/Ar8CHXqO9RwKeNiKFLut1U9Z5lDiz/uVrT5q7KdDhnh8MWgshgAenKO0ZalvRG/xIL2GVZjrfXY7/U2vSWMh+nU8DgZE0ltoYNX/berFikf388VqZZ6mwUhLKz24KFRVuqTrgmp/OvXCO22TJH61KX2EdBcSiqq3yGbjB2SlZUYj2P7ax3i+zThbTnBVRlrEbNctaVLQbmHURThXslrHRHFHcZ7hmgP6GLIspqRm2SU0taNpSpK8I45bmqrGERHTMQFiCmoaWs445xg/4Rd4pqEBUjaMKFmT7dINHgDU+Ml8SsyS/p71tzQa4AFFvPt9n+lICMxIT9BcSKNR3Pt8iIhIgJqOgoyanjUdYwp6lhS6mxBLck5CyZSeDVXveKbNKbOOebkhjgrqbQFxT5JtKbqYbd+zqVJWeUGeVPRxQR/13D2bMJ5EzONTxmXEej3GkZLl50zijlG8hqTgvIlp24zOZczjFadNwbSN6Ecb4i4mi1Zsm4IontM3G/KuoiSjHK9paqjaEZ2DcdTQ9wnLeMyR8+Lgk5MAGmz5cVWFCiKlBvs+9JTRpP3MM+G50nOge19snZ4Z3adwsSmg7k/t15aDW+AAF10699Mq2s6abOlfAZg3o4+4St3GEG88BmAxxL140EP5sCoRu82+EFR/uwycCDzs+2JYcLKvUrdNzGyeWIZDOj4rsrTv1zHqc+VEaFdP8q2I44tGQwIsceyBh1aQsnYejUJjMoENHZsobLV0VzWI7L/tZDDPFrTuWQ7HG2J61k3CdBxRbVu2aYpLa7ptT5mlNCRs05hxv2JZj4nKljhrmeULlqsJ0bamq3Pq2BHBrrNHDEnNqOuoGVGypeeEFXP8pD4ipDEKarbMWHJGAsxJWAIjOtb0jAjpCKU2CnzFx5LXshMKlbQWBDCi39e7/+dAS0tOTL87/oSSyIMGUhIcPTHuXs+SCVBzi44jego6zrsGR07R1ozKhq3LoElYb0syNuTkVExYrBuemW+IdgxVVae4aEoWwyg7oyhacBm3bs2p5iXPzBfQbjguYVmPabuO0+2IUdGyblJapiRuy9E0petTsr5muRmT5RPq7pyYhjSuSRNH1xVsmp6kj4iinjv/2wfJ5neZx1sKN+Z8mbMsW6JRRYpjWZU0eUuXbZhOaqZxQ9ul1P+PE6oq6CZu3w4t3XVf2mcIwv293YaUndUZKfVie5QIYOgZ3tdaWAChz9TzLKbDMiN2XLH7eJQYqkPeGTEAiyHuxYOYiddTJfKwfVhwYhkNDTQSfVldx/7gYldAGtg0YCmdYBmIfTdCrfgUGhCtk6W+r1W3a1v1fpD+QZqLpvFU9fm5X2VqFdf++w/RLmeso4rD+QZHRNSlTPqWdnnEthtBtGQSJTTbGXRb+jyhjRwH2ZrTPuVgCuk2Z1MnpFlH5DrWXUGU92RJTdJ1cBhzevuIotjS9xmJ20IcMZ2vOT8fkcdbTrc5cVTj3Ig8amg7yPOWo77mvM2IqYjJOafFT84jPEjwk/2aza5gdEtPTESFF2JW+Am93G2/JQAICTmr3X5shUhOEHh2XAQeYiEWeN1HhaOgpyYmIcLR0hIzw1FTEO1SJR0958CMGMddag7JaOgpO+jpyLYdcd+y6R1ZlNAnI4p0S1c1RG3GupqRl1tcHZOnWzbbMXE6p3MVB9OeKGlocKyXEV/vDnl2umYUbZhmS2qXe0OvLqbucpquJU0SukXGbLTEFQlR10KTcO4mdH3K4XRDHp8T5z1VU1JMNjR1hus6TqoZ8zwmZcN86qjblChyOHryrGVRjambiLpNOZhWlHlDOQ+aI7l4dl2wm9czJ62Q7u22DZ1P1VtHLIXeY0G7ngfrN6Pncx9cqFzVmsPZ509ji/5mwcGjgIyhOuSdEYPGYogL8SA9xeupErHb7Qs+71clAmEw2i+ns4PL/nEKNNj37gMDdZLU6kuva5C0qRKBBQgNxkQD27LWKPLgQkJQWXWrw6nKYCcTeGZ2Sp73JBn0bY/rY7KsJ40d09I3juhcQecch/kaXEJEQ5IU1K4jjVNG5Yqj0YJJsaVMIS4i0qgh7yPSMmY27phnK8aTDU2bEvctaQZJ7HB9z2F+hksjZmVHEickUc25K0njnN719K2XQo6JSTijwAG38SDBpxd6chIy+l2qYkRMT0tCD7vy1YgNHiyUeKCwITh1TkhYAed7d4sjAJFm73X5X3h9h9sdT0NGR0MBpCzoSfFr+C0p6e69a3piYqacktIyYQ105PR9ShcnFJFj42LoU6oqI89XNCT0dUxXFURlRZ61ZH3HehmzWR+z3qbUbU6W96SlI+lbTk4LNu0UXEwWd4yzjoSGpIBtk7BscjYU1N2I9SYmjXs6WpI44+7qkFuLKW0/oqoL8mhDv3XEaU+WNazPU87rMRs3x+HIXUXkYsqs53C0YpJVrJsxd1YzXj49ZLEe32uep0Z30l8sl8FvRWkOW3mkRcFicTE9YUGBZR30DCu1p/fYZ1bvuUy4qW0FLvSe/Yoxy5w8SESuGEScjz8GYDHEhXjYQ2lBw4P2cT8AcT9wogkcXlvapu20WrL6C7Ed+rv0GPsrJgsu9ilXiS9tlYWAivW6UBpDfgLSRijlMZ363199lXsuiqOs4Wh+B9eVtIwo4hV915PmCaNyRZmsWPUTIhexrCMOpzXOxcSRI0ti4riha3KypGdWNByM10zThrLocNGWeNtRRyMmow0H07ukacK6yXAuIk23jEsH44TJeEta9BRpzyhq6dly1uf0Tc542hPFNZOiZrYrG80pyFjgJ3yvm6iIyEjocKzJiEjo2O4YhIaSGp/CGOGrOvy+YLUrVp0T39tGoeoTWXyrQiTd/VS7f6XF8NUdp8xJiMhxjKgpd31N6nvpkAR2jcwgYYFjQ8mWGNcX9C4mK2EUVyx75zuo9jlF0lC1mTe/2kyI4o7RtCKNGjZtynI1Z7PKOd+M6PsIohYXR5ytI5bdhKpJ2bQxo9Qxj9dkpS+aXW4KzjYl62ZC7cZkaYNjTZk61tsxX7/7LOfrhKopWVcFORVdFDObbKmqjM02Zbku2XY5VZ2wbWJGRcNzszOORktiepZVycunM27fDnoMgYs8D1qktg2W4hBYPFnIg/+bxJy2WkSTvmUv9KyoQZp9fvVcqrrE+ldY7ZKedfvMW8MtOx5YYehlMQCLxx9DKmSIC7EvwozjR/u7QqsTuFxvcb+UiAYy5XX3xaAWsCjv2/fBDXCf2rVMhR3AlPqwYMQq150LJX46FjkcjkZhgBYN3LZeuCkR3NmZ3/7goGHbbWgOTumbmC0T0qima3PSPKXMaybNkq2bkEU1VdsyK7bULiFxLXkypXYRadqTpkv69ZiycLRdSZfFtH1P3Ld0ecZ8dMZ6ltPzImergueO1riuIotnkJ4TryHNc2qXcNjU3HUJa6awikmzM1xTcpDGuLZiTcSCjBFLNrs0R0S8AxAZFRWOkoglKQ0wIqUnJ6LmFDgEJkQ4HDd3BaMpMTn9hdSJVB/Z7v9y5ozM39UUbQ4saYlIqVhTktIyouaciIR812LdA5qICEdGRkNLyjkpBT2VayiBs03ENIeijnFA1cIoT3Gu4WQFB3lJ2zSU4y3VOiZ2KW3bsXE5BY6tS4lGEeWooa8i2qonKRK2LqFpIw7TDeOoYRs72ihnWZX01DRtzCSD2WgNyRlVe4OqTYiSlrpLmRXnnC1jirxmPNtyODqj7XPqPqHqpvTRko6SJOmZFhXHB0uKrOZ0M6VqMk7+l/8b9bimLjbkWUeZ1NDmVE3BNqtJsw1Rlvo6oLQmjxsilxJ93+qekZVzQf+jZ6Vpgg+LnhdpgyS83E8zWlAgXYcFKVaTZUWgly0CBDjsjx2T7GJBMaRDHk8MwGKI18TDBFCvp0pE213mvHk/cCIWwr5Hr9tKC7taUWpDqyvlfPfNffSaBJ3OBUdPWx6nVZLKW9drWH/23UzSJWXR0tUjiiqDOqPpIig6+iaGztGTMt5G5F1KS06dbEnLlLLsOUpWbKqU9aaky8aM4jO2XclksqVpUqp1QpuUpF3OsltwPKtZUuLanjzZ7s5fxLTsiZsN6djRRlPiDXRRQ4ojKsc8d3hC70pu3ZlTVSWzgzXr1RlxNmYy27DZZuAamj7h2G242WVELmPez4jKNUnnOOgSnMtod8mHlJh219Q8pmFMjSf7WxxTatZMSKhpmNJwQoI3rprsGpq9QMMt5vR0RDtj8d5Yh2sYkvumRJ0x0BOR4O5pMKbAXVoSWrY7zUdCSUNLy4YJngGJcdS0ODJqCkYkbFkzoqOhbUfM0oq67cmiltr5JmvLGvLIkQKrOqbvxiR5x8Fsw2obU1UFk/ES10asuxKiDtfFRGlLFDuyvsZVEWmesG0LSHtSOq8OiTu2NfR5RlPFpFlEFm+ZlguW9ZRtVRClDXe7MWUWMeOMeO04nMfM8wUVY6pNxHk1pulakjjCuZhpsWE+2ZJEjrNqRNNmbDYxXTdlVFS0aUQa96RsfRon7ZmxonU52zYnSoHI0e2qgi24r+vgkaK+NAIM+0DBOsPus4x69u2zbscEMRh6Lu83PjwKyBiqQx5fDKmQIV4T+4j/sni9KZH7bbc/QNjXNfHv19xbfwu914rAVN1h88fav62Vt8yFrau3g5Jo4SQB+o5tX1DXCUVWk6WOJO4Y5zW0PWnaezDiHEmekKYto7wiSlJW65y+i0hpmY1bpuOKqK99+qJYk6cVk3HDpOyIuoaahG1/RF3VTKdLsqijaSGP292gu2SSd+RpxWG+JEk6yiQlamMiWqKipCiWHB42tH1Cv80YzxNIIvICRsWCbAR5GUEecRwt2RJz2sZ0mxFtEjMad5ScMsbteIOelJZkZ0fV0HJ0r0Q0BqasdimKni1H9zqmqnTUW3GtiMhoGdOSUxHtTMb9fqTFEHsR49Mg0a7zh9v9VHhwUdAyYktDTrdrT1aSsySUqSZARkOEY+urQtgQk9LQc6ed0vXQu5SeDd0OQtUu26lGvJrk5PYhXe9Iog3Twy1dm9O5lLbbUG8nVNsEV8d0dUIVjYmTlm3bsnERkYvo8pgyaUmiiCxzVFVMBNxeTqjaMefbhDLb0McZ1TYhdo6qaTlZHXH3fMrJ3RGL7ZxRtGI6WjPKO7o+4eS85HRZcrqe0rUwHW05ni45nK7JckfTxZydjzjdTNlsc1yUUFUJqypn3RTkyZY8bWm6lLZL72kYrIja9uWRaFPPkgXsAhQShPZ9KH8VSLkMbOhHYEL72ffLuN/Yss+K7KdKhnTI44kBWAxxaVgtxGWxX6lxv7if3mJ/9bH/uj7fUqv7xlm2hFSDjC09FUDQZ+znZTV4WpMfq2pX+qPMarZ1Ru0Koq6lzLbkWQ9RTFF0pHGLS1LiKKZuYuI0ZZxVFPGWJO7Y1DkdOYmrOZ6tGOUNCT2NGzEuWop8SZ7VHIw3dE1LTc55c0xWr5mkG5I0YVkVzNItURyTxDVlVjObbJjPtl6VkDuSrqFMW6bTljRak46gi1qSLiZPaloXUeRbRmlNUjYktKR5z5SanoQ26mnbgk0Nz84rxqyY0pHjyOnIOMFR7pIMKw53fhieaZhQM6GlpaFhTEvCOR4oOCCjY8KCgoiEgnrXaVUmWhJvKjfWw66M1adaZLJV7v7W0zIiYrTrcLKmYEtGgu++utltBzBly5g1jlMSclpyUjJ67jKhpSOlxLEloieipycmoeOk863bbp0dkKaONNqS5QlZ1pLGOe3WsalyNn1CXWdsVz29yyDNiF1HT09UQ4MXdbZdQUxP1ea4tme9TejcjNXWo+CoiKnbDFxC33asNmNOFnPunM+4tbxBFPVMsiV52pFnHVVTsN4mLDYTtk1KnEAW1RyNVtyYLsnSjqZN2bQ5VZ2TxF6LcbKes6pKst29lCbdvYndVnHY50TPkf6mVKKeMXli2LTlPqDX7/vmeHpWLVtiAcKDxhg9+/vaqUcRfA5xtTGkQoa4NPYZhcvoxPulOi7bbt+nYv91yxjs73s/77qvGrfvUWMupUS0gnIO+F8nEO0I99hPeG0ckSUteZOwaQqIGvoEkrijb1OyPibKY5quZVPnFJOGpO9IEkff9ySxI407HBVdV4KDbR15/US6pcgTNnXBeTXiMK8ZZ1uOZhsWmzFRt6Xpd7ny/JTT9bMcjTd8fTmiT6aM2kMORudsXcbCzVg2JfPpOZUbEfc547iG0Sl9m3LeFEyyDU3fkKY5ZblkU49JJilxtCZqS5KsJYoziv6EKHoW1+a4pqHZVmTJhFWXkNWQ5SNWq5h5scRtYcWYCS3VbrhoGFHjKDhhzoxTSmBMQ0ZGsUuXdHQk9FS4e6ZZXoVR4ejZcsCSUyY0dDgmXHTwTO/9v6VhSseSFV5rke1+tiyZEJGQckbLmpwRPSmbe83OciKaHesxwZGywnMsCTlzeu5SkhFxgC/rJK3pu5LEpYxIWPYpaZ2SncO4bCjKzc5NdcumynBtQr/J2OQx48SxWHeMyi1xPiZ1a7LMEbUx265lXPh00FmT0Mc5SdvQ9D3jvKSrvRajTGvmaUec1bgupXcZJ6sRbRfjIsckr5iWS863E/K4pXYFru7I4obIJTs41VAkW45mjvNNQd9Cn0VEUUznEs6WKa5ztH3MbFQxGjVEn5uQuJi0d6zrEXnaEicNUQR15MjSjq6PaXfdbPuko0l60qQn+2vdvb4kspyXY+y+ANMuEOxzLnChpn561pXmlDbqfnFZqsTqOew2Q3rkrY0BWAxx33hYnnI/TfGgh/5+IOQyIades3+zivHLjkMh3UTTeHAhF822hdolRL0jjnv6PtqlL2KciyjzLU2XUHfe6yFJIpKkp3UJWdIyyhu6dcS6yimTLVlS0zYlfRRTJg1J2rFtMvK4oe5S1nVBWXRk1Dx/eMof3Cy4Ux2RpbfJ4w2H447FakwZV0RFRtNlTN0562rELF+x2s45Wx9QpC2TdEHV5dDHtFVGkrQUyYbapUyynqY8pXfHdIzIkg3jvGY9yelcTb/OcPOEsmhYLArS3OHSGWm/Js0dncvJJo7NqqKIRji3oW8T6jgi3SZMypa+WrMlZcJq1zr9mHMqniWhoGJGwoo1PVPWRIw5p6JhBpzR0rDG+1LUeKAAbueKOaFhxZaGMeB2vUgcoe16DtS0LIEZF0nWDO+ymTLmeXLukNPQ3PPbGNGxJcJR0FKxombGEofDMWZJChzTccqMV0k5pGXWJuTlmmqb0bkch6Ml4m41omsdEROybEHbwWhUs20K+trfiKt+wsH8nL6NWdYZyTgFOpLIESc5bVszGkc065ZVXbB2HaM8ZbnZEMf+/lk3JT0JhyyIopY47khdRFXBK/0zHJbnbN2Gcdb6CqOuxcUJq2bMhBUQs3W+TDeLayalo2pHRH1DkfZEkWPVZpysJnQupieh6WvGRUUUOSChSGu6PqZ2KWnc4xKHayMSWlycEtPROS9uioD4f81wTUYfQR015EWPa2M6F9M4yLOWOHJEkaN3/ho6wH3/xRISaytuxwqZ1amC62FhtSA29hcxA8B4a+INpUI+/elP8773vY+yLPngBz/Ir/3ar131cQ3xDojXU7a1X2/+oH09LCWyr6HQ/q0w6zKhlj0O50J/D+WLldZIog4iR9978rzv/WtdH+OIKfPWr866HS1NTxw74jhiXGwYjTu2dUZHSttl5FlDuwUXJZRJy3y8Ic08P9x3EauNT0CPspYbozP6Hk7WU5IMIuc4mq9Jk54iaSiLLXnRMSlWTLMt42TNshlxvp7SRgU38lPaKKJNMqI+ImVLEdU4Uo4mFeNyTZI48iwi72umWUeSAXlD3EVEcc/hjQ09EWnW07ueSbkiZkWR9EynPamrGI0T+j4lTXPiEXRVR05EQcOUhENWlNwl5ogF052kcsmEM5KdwHPNBEfEigY/TUlH0e9+YjoiIt+9ZLe6uYW7V1aqyhDwKZIJFS/gTbvG5ifFg42WNR0rbrAlZkxCyoqODRDT7xI2Y9bAmoqcNSVnTNju/C8mnBHhuMucBSl1lTOfbJml/a7A1vlGbG3B6SJhUx3Rbr1letQviYuMOGrpe8dmVbBpS0g6FtsDmiamdRGR60jykq7rmIxqZllNGiXUHdTdlO02YrUtSJxj2yXcXh/S9iO2DRTlijRLSbst59sJd8+m3F6UNJRUbU5ft/RE1L1Pd0RRS9UWdHFB3HUkUUNHRuRaxvmWadkySmvOliNeuTtnsS5ZbMY+nRK1ZGnvGYUI4rin6xPaLqF1KV0f4VyE651X4UjvEHW0XeyTV01MmnTEkYMI6jal62N6FxNHPXHUE3FxwLCVImIzbJpTz7NSLg8LO47sp0q0GBpSJW9NPDJj8Uu/9Ev8yI/8CJ/+9Kf5M3/mz/CzP/uzfPSjH+W//bf/xnvf+9634hiHeEzxetXV9ysfvWy7y0pQ7Wfsp0T0d+v+534xoXcRSewn/q6PiboI+pgo9iuisoWmT3E9uKwhjhxJ7Nt/t00CPfRRRN/hR08i0qQjS1qaNqFqcqblhq7paPqUNHaUaUWdJ2ybjCzZ0rmMOI1oupQ0ahlnFd00ob6b0sUFXZ+wqTLm857DyZpVN2LdjLi9nHE43pDQMi1bqiajbWO2cUqcZ8zbcxqX4OqUs2pKEde4DGbxmnU3Is8b6BJcD1HSkTrH4eiMu12E62E0aqlcS5r2RH1E1/WMR7DqE8rRhrh1RMWUTdszOezZLDuadUyaO1brhHEes616EjLPcDQ9qYuoiRnTkHO6awo244yOG7vaj5Q7rHieGu7ZhLc7j06HXxlHrHFMgZQa8HudMWLF+h5bkcE9lqOAe51Q90PlqABrGhIqCjq2jIiI2LIiAwpianJSGla0OBxbtow4p+TGLkFzgzW3KagY0VDQLh3jfMVRNuJOU1DRk5JB37HaxGy7Gzx7fAv6kiiviLqYqG9pk5So2tD2OVnqWG3HHCQbcC1R0xGPIlwX+9RUN8I1Gyh6ztuCtIeuqpiWEW0EryznPD9JubuEo2JNUkbQbdm2OX0f0bQtZdkRJRFRvSXOEpI0J+p9ozkvsIwp3Za2S1l1M0ZuycFkRexy/0yScHI+ZVtXTMc1bZqQpd0uxbd7zlxL10ds25w0aojzlK6LiKhxMcSJI00dvWtp2pQ+jojjnjTpaFpPHfR9hCPCRdx7dt1ndyCFiBjouojexUTxDnzsBoIs6om6hK73oLT669t7qc4Hxf749bCqkv20zRBvLCLnHg2rfehDH+IDH/gAn/nMZ+699s3f/M187GMf41Of+tRD379YLDg4OODs7Iz5fP7oRzzE2xpWOPWgh9jmSe/nbXFhf/+fZDdw6P1+cIlwfsBx3KNMwQ84jogk6iHi3sonTXqcw6+mep+IjaMeR0zTRLQuAxxF6qexqs6Jo55tm3rjnrghTiCNe5LYsxfrbe77USRb0rRnVY/IYi+VX2wmNH2M6yJaElzb+06rWcskX7PYTlisRpwsR7tSwBV5Clne8eqtMefNDOc6DicbiqRhWm7ZtCV3z0fUXcLpakbV5DRVz93VAS5KiOiZZQuiJPODctL6VeQ2oyMhjTvaLmJZl2y3JU3fU9c5L6/m1F1GkdQ4l9A6n1OPXUMWpZwup7R9TO96qvOSbTNivXWkOHA5VduTJD15VLFufRvznpgyW7JqUmqe4e5OnDkDYLPTSzzDku2utsP391gxQqZVPrw7p7cRHxPtilc9a+ENun1apNz9jAgg4sKdhzfCWtLtOqnGtIyo6MlpKHeaADjkbNdTpNwVulb0FExouMECiFl6noqOEQWOlAU3yp66dqz7KQ2OjA2jGMq8gTjhYHqHmIx07EjjhiRuydLO76ftibOMPNvwzHRLEnVkKYzyFVVbsupG1A3cyM9ZbguW3RgclK5iMoVt3VKWCQfZhncd3qLIKspRi+scW1cS9RGu2TKe9pRly6zYMEobsrwlTzq6znd1TeOWzSZn48b0bc8oqchH4NqGTT2idRlZ2tK3MB43TPM1cRrjdmmMMqvp+tRXGu2IpzRr6V1KkTWMsq33tegT6ia5ByeLtCFJHE2X+Hshgmj3WCeR1yppXHAuoncRbZfgiEjjjihy/j27caHv8cBlR7an0Q5A3wcMaBzR+wH4G+7C3y+rHhlSJZfH652/H4mxqOuaL3/5y/yDf/APLrz+kY98hF//9V+/9D3b7ZbtNrRkXiwWj/KRQ7xd8YuXP0ERQL/LiUb3f4AjB855o6EHbgfEDno8LZpEHrV45mG3onF+MAl9qdyOtYjpo5g0auldvAMeomx7IvznRxH0LiJNHa7paF1C26UkiZ8onfMrJkdM06dkUUsXxUTODz5F2rCuE7ZRQdxtyJOazqWkSc+42LCsxnQR0PWQxPR9R+NSqq5knG+om5T5KOJs5dtsj4oVbRMxn22pTgsiHOfrgmjmbapn+Yq6TOiqklGxoa07+nTMOF+zrkfEWU69c4uMgElcQZ8S5zXddsK6jcmThiSLSPuGUdpw15XMi4o7q5i6SbgxW3N6PiKJc19vUayo2oztJqbuM/JpS3N3S54U9K0jjR1FnBFnFa4bMynWnG0n3smimTDLlnTNLRzHLMk4oeOAKS3nlNxhxoxuZ35VE1OyoeIGofpjw2hnaNVzhuNod7lbYIOjIMPR7ISh948YGNOxJWdLvaswqcnpacjpaRkDI05peIEFFf0OwkZENNSk3KLkmJoCyKmo6FkxIuaIvDqhSCPGbsHGjUiZUPdLmipnNqpZNVPGZQ1bcHmKiyCLoeCcrphS9wmtKzhZRMxHS+LY38fTfEna9Jx2E07aGYf5mnF9xu1+SpeUnC57RmVEtYko04KvLZ7lhckJSbJkNtky5i5n1Q0aN+W82tL3EVnS4yIomoiqLZjkFds6JSoc82lFsm7ZRGO2/YhuU5PlEUVeM4q2NH1GnDkW1ZhmGzGdbIkjbzmPgyJrSOOebV+QpB2u989q3SZEUUGR1iRxz6joqOvUp0T6lB6/6nBxTETnmbY4onMC5jvAETki53Au2qVNInCRT53E0Y7ldBR5u0svpbQupW97ksjv5zXjzW4ccZgBxYx1EQGuCty4XZJGw8+9BdDfeKQ1+FMdjwQsbt++Tdd1PP/88xdef/7553nllVcufc+nPvUpfuInfuKNH+EQb0884KGJlIOMuXzRuHtZ2zmzKnnotoZ6jFUSunt/ZFkQB327e9gziFRNkoW/R+qXtXsvQNpDX0OUQJqD29XoZ7bePYYog0jGWREU1a7cbuQniX4LcQZZB+XG53lHqW86FscQpxCX/t/DHuIF9Ke7zzoITdaOF6FOP44hPoD5EaRryO/6Pg3T1v+bLeEo9kp7CEJUmQiptLaqfK+Sqgq2yocR/OEfQrkKrdjflQYr58kEXixCW/c49q9vNqGUULluUc7PbkMXTHVxPT31FubyNShLb3u+2QSjpCzz/797d3c+smC6pNb0ec69jpxt6z+3LOH/vPN16jtfeejte/DSd/PHXnj3vY6x6umiksg7d/xr73nPxfx6klysZBiNwvm6cydUNrz4YvBmUI7fep0cHfnfmyY08Lpxw/++3frvNZ36Fubq5XFw4I/ta18LBlM3bvjroHOqRaFs5Q8O/LV+4V3hmmtbNRmTJ4TKpeU3MZ7CyPm+IWoupmsry/qm8fd0msJoEhxskwLiHEYFZLV/fxxDsXPq3BFNsNNElPhtnPPPssy09F10v/SEZ1hjQ9L75/de+lNiTrhXjZzttpOGipj7zmaXjTWXbkcY3i7oLh4w7g1xebyhqpBo7+r4FeblZ/5Hf/RH+eQnP3nv98ViwUsvvfRGPnaIxxQPSm3sb/d6ne4u21ZplMtKw5wL9fKXpVtUqqbyNkttyoobgvnWZeWs2o/eY106iyL8bTIJ/3/uuXB8Vkh6eAjvfW/4m22IJoW7Jm29V4O9tqlrP8HVdVC5W4Gbuk+qxwqEfYOfdLQPbb/ZhP9DABE6p2ooVVX+fArAWFMknbvp1FuXS1vjnP+86dTvb732E93Z2cV9zOf+bzonR0fBIl2TtkoL//f/f8n//AuoDxk7PWYgMVZAAf+vHyr5H97tj1ut6lVqHMf+e8exv3ZxHACSdVvV99c17ns/yaqNuMBPvAN706k/zrb1QMGWVPe9vwfWa/8+XdujI/+aSqOjKAgS7XW0osKyvFgVVZb+/0UR3mut7PefL5uidM6DF2s+J4Bl7wFbEq5tZNudZf6cyP57Xyul3wXW7HO1X25+2XhhPS72v8P+dkVxsZz0sngjaY39zx/i0eKRgMUzzzxDkiSvYSdu3rz5GhZDURQFhWT6Qzzx8SgP4f1KWB/2/wftbx8g7P9/vzfJg0ID/WUD2sPislteA+39HofxfRj/yeT+n/Ogvx0cvPa1o6P7b/9G4l3vutr97cc3f8sN/vl/K3nlrNqrIfARAS8clPyN77lB8oZq3N7auCwNfb/r/EaiKO5/Pz0obMmmBTTa537s9/rR7/ulnw97Zvf9Zx72XF/2PD9onw/axxuJAVS8sXikRzHPcz74wQ/y+c9//sLrn//85/nO7/zOKz2wIYYYYogkjvix7/0W4LVstH7/se/9FpJ4mAGGGOKdEo+M8T/5yU/yz/7ZP+Of//N/zu/8zu/w9/7e3+OrX/0qP/iDP/hWHN8QQwzxlMdffv+7+Mz/9AFeOCgvvP7CQcln/qcP8Jff/xbTJkMMMcQjxSNrLL7v+76PO3fu8JM/+ZO8/PLLvP/97+dXfuVX+KZv+qa34viGGGKIIfjL738X3/MtL/B//MEJN88rnpuV/I/vuzEwFUMM8Q6MR/axeLMx+FgMMcQQQwwxxPWL1zt/vwPlTkMMMcQQQwwxxHWNAVgMMcQQQwwxxBBXFgOwGGKIIYYYYoghriwGYDHEEEMMMcQQQ1xZDMBiiCGGGGKIIYa4shiAxRBDDDHEEEMMcWUxAIshhhhiiCGGGOLKYgAWQwwxxBBDDDHElcUALIYYYoghhhhiiCuLN9Q2/c2EjD4Xi8Xb/dFDDDHEEEMMMcQbDM3bDzPsftuBxfn5OQAvvfTS2/3RQwwxxBBDDDHEm4zz83MODg7u+/e3vVdI3/d84xvfYDabEV1hs/vFYsFLL73E1772taEHyRuM4Ry+uRjO35uP4Ry+uRjO35uP4RzeP5xznJ+f8+KLLxLH91dSvO2MRRzHvOc973nL9j+fz4eb4U3GcA7fXAzn783HcA7fXAzn783HcA4vjwcxFYpBvDnEEEMMMcQQQ1xZDMBiiCGGGGKIIYa4snhigEVRFPzYj/0YRVE87kO5tjGcwzcXw/l78zGcwzcXw/l78zGcwzcfb7t4c4ghhhhiiCGGeHLjiWEshhhiiCGGGGKIxx8DsBhiiCGGGGKIIa4sBmAxxBBDDDHEEENcWQzAYoghhhhiiCGGuLJ4YoDFpz/9ad73vvdRliUf/OAH+bVf+7XHfUjXJr74xS/yvd/7vbz44otEUcQv//IvP+5DulbxqU99ij/1p/4Us9mM5557jo997GP89//+3x/3YV2b+MxnPsO3fdu33TMk+vCHP8y/+3f/7nEf1rWOT33qU0RRxI/8yI887kO5NvHjP/7jRFF04eeFF1543Id1LeOJABa/9Eu/xI/8yI/wj/7RP+K//Jf/wp/7c3+Oj370o3z1q1993Id2LWK1WvHt3/7t/MzP/MzjPpRrGV/4whf4xCc+wW/8xm/w+c9/nrZt+chHPsJqtXrch3Yt4j3veQ//+B//Y770pS/xpS99ib/wF/4Cf/Wv/lV++7d/+3Ef2rWM3/zN3+Tnfu7n+LZv+7bHfSjXLv7En/gTvPzyy/d+fuu3futxH9K1jCei3PRDH/oQH/jAB/jMZz5z77Vv/uZv5mMf+xif+tSnHuORXb+IoojPfe5zfOxjH3vch3Jt49atWzz33HN84Qtf4M//+T//uA/nWsaNGzf46Z/+af7O3/k7j/tQrlUsl0s+8IEP8OlPf5qf+qmf4k/+yT/JP/kn/+RxH9a1iB//8R/nl3/5l/nKV77yuA/l2se1ZyzquubLX/4yH/nIRy68/pGPfIRf//Vff0xHNcTTHGdnZ4CfHId4tOi6js9+9rOsVis+/OEPP+7DuXbxiU98gr/yV/4Kf+kv/aXHfSjXMn73d3+XF198kfe973389b/+1/n93//9x31I1zLe9iZkVx23b9+m6zqef/75C68///zzvPLKK4/pqIZ4WsM5xyc/+Un+7J/9s7z//e9/3IdzbeK3fuu3+PCHP0xVVUynUz73uc/xLd/yLY/7sK5VfPazn+U//+f/zG/+5m8+7kO5lvGhD32If/kv/yV/7I/9MV599VV+6qd+iu/8zu/kt3/7tzk+Pn7ch3et4toDC8V+C3bn3JW2ZR9iiNcTP/RDP8R//a//lf/0n/7T4z6UaxV//I//cb7yla9wenrKv/pX/4qPf/zjfOELXxjAxeuMr33ta/zdv/t3+ff//t9TluXjPpxrGR/96Efv/f9bv/Vb+fCHP8wf+SN/hF/4hV/gk5/85GM8susX1x5YPPPMMyRJ8hp24ubNm69hMYYY4q2MH/7hH+bf/tt/yxe/+EXe8573PO7DuVaR5zl/9I/+UQC+4zu+g9/8zd/kn/7Tf8rP/uzPPuYjux7x5S9/mZs3b/LBD37w3mtd1/HFL36Rn/mZn2G73ZIkyWM8wusXk8mEb/3Wb+V3f/d3H/ehXLu49hqLPM/54Ac/yOc///kLr3/+85/nO7/zOx/TUQ3xNIVzjh/6oR/iX//rf81/+A//gfe9732P+5CufTjn2G63j/swrk38xb/4F/mt3/otvvKVr9z7+Y7v+A7+5t/8m3zlK18ZQMUbiO12y+/8zu/wrne963EfyrWLa89YAHzyk5/kB37gB/iO7/gOPvzhD/NzP/dzfPWrX+UHf/AHH/ehXYtYLpf83u/93r3f/+AP/oCvfOUr3Lhxg/e+972P8ciuR3ziE5/gF3/xF/k3/+bfMJvN7rFnBwcHjEajx3x07/z4h//wH/LRj36Ul156ifPzcz772c/yH//jf+RXf/VXH/ehXZuYzWav0fRMJhOOj48Hrc/rjL//9/8+3/u938t73/tebt68yU/91E+xWCz4+Mc//rgP7drFEwEsvu/7vo87d+7wkz/5k7z88su8//3v51d+5Vf4pm/6psd9aNcivvSlL/Hd3/3d935XPvHjH/84P//zP/+Yjur6hMqcv+u7vuvC6//iX/wL/tbf+ltv/wFds3j11Vf5gR/4AV5++WUODg74tm/7Nn71V3+V7/me73nchzbEUxR/+Id/yPd///dz+/Ztnn32Wf70n/7T/MZv/MYwj7yBeCJ8LIYYYoghhhhiiHdGXHuNxRBDDDHEEEMM8c6JAVgMMcQQQwwxxBBXFgOwGGKIIYYYYoghriwGYDHEEEMMMcQQQ1xZDMBiiCGGGGKIIYa4shiAxRBDDDHEEEMMcWUxAIshhhhiiCGGGOLKYgAWQwwxxBBDDDHElcUALIYYYoghhhhiiCuLAVgMMcQQQwwxxBBXFgOwGGKIIYYYYoghriwGYDHEEEMMMcQQQ1xZ/F9pEMCCbNhirwAAAABJRU5ErkJggg==", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# Posterior predictive checks\n", - "# p(x | x_obs)\n", - "xs = []\n", - " \n", - "for v, alpha in thetas:\n", - " trajectory = simulate(v, alpha)\n", - " plt.plot(trajectory[:, 0], trajectory[:, 1], color=\"b\", alpha=0.01)\n", - " \n", - " x = likelihood(v, alpha).rvs()\n", - " xs.append(x)\n", - "\n", - "plt.hist(xs, density=True, bins=30, color=\"orange\")\n", - "plt.scatter([x_obs], [0.])\n", - "plt.show()" + "# p(x | x_obs)\n" ] }, { @@ -550,7 +177,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.13" + "version": "3.9.18" } }, "nbformat": 4,