{ "cells": [ { "cell_type": "markdown", "id": "f6f2b0f1", "metadata": {}, "source": [ "## Test 2D Benchmarks\n", "\n", "In this example we reproduce the 2D examples in Birky et al. 2025" ] }, { "cell_type": "code", "execution_count": 1, "id": "48d71e76", "metadata": {}, "outputs": [], "source": [ "import alabi\n", "import alabi.utility as ut\n", "import alabi.metrics as metrics\n", "import alabi.benchmarks as bm\n", "import alabi.visualization as vis\n", "from alabi.core import SurrogateModel\n", "\n", "import numpy as np\n", "import corner\n", "import matplotlib.pyplot as plt\n", "from functools import partial\n", "import scipy.stats as stats\n", "from scipy.stats import multivariate_normal\n", "from sklearn import preprocessing\n", "import pickle\n", "import tqdm" ] }, { "cell_type": "code", "execution_count": 2, "id": "bb88f590", "metadata": {}, "outputs": [], "source": [ "def run_demo(lnlike_fn, bounds, savedir=\"results\", \n", " gp_kwargs={\"kernel\": \"ExpSquaredKernel\", \"fit_amp\": True, \"fit_mean\": True, \"white_noise\": -12, \"gp_opt_method\": \"l-bfgs-b\"},\n", " al_kwargs={\"algorithm\": \"bape\", \"gp_opt_freq\": 20, \"obj_opt_method\": \"l-bfgs-b\", \"nopt\": 1},\n", " ninit=50, niter=200):\n", " \n", " sm = SurrogateModel(lnlike_fn=lnlike_fn, \n", " bounds=bounds, \n", " savedir=savedir,\n", " ncore=10, verbose=False)\n", "\n", " sm.init_samples(ntrain=ninit, ntest=1000, sampler=\"sobol\")\n", " sm.init_gp(**gp_kwargs)\n", " sm.active_train(niter=niter, **al_kwargs)\n", " \n", " return sm\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "5919814b", "metadata": {}, "outputs": [], "source": [ "from mpl_toolkits.axes_grid1 import make_axes_locatable\n", "\n", "def plot_contour_2D_no_colorbar(fn, ax, bounds, ngrid=60, cmap='Blues_r', vmin=None, vmax=None):\n", " \"\"\"Modified version that returns the contour mappable without creating a colorbar\"\"\"\n", " xarr = np.linspace(bounds[0][0], bounds[0][1], ngrid)\n", " yarr = np.linspace(bounds[1][0], bounds[1][1], ngrid)\n", "\n", " X, Y = np.meshgrid(xarr, yarr)\n", " Z = np.zeros((ngrid, ngrid))\n", "\n", " for i in range(Z.shape[0]):\n", " for j in range(Z.shape[1]):\n", " tt = np.array([X[i][j], Y[i][j]])\n", " Z[i][j] = fn(tt)\n", " \n", " im = ax.contourf(X, Y, Z, 20, cmap=cmap, vmin=vmin, vmax=vmax)\n", " return im\n", "\n", "def plot_two_panel(sm, kernel=\"ExpSquaredKernel\", true_fn_name=\"True Function\", title_size=20, text_size=18, cmap=\"Blues_r\", cb_rng=[None, None], \n", " show_text=False, show_labels=True, figsize=(12, 5), remove_ticks=True):\n", "\n", " theta0 = sm.theta_scaler.inverse_transform(sm._theta0)\n", " theta = sm.theta()[sm.ninit_train:]\n", " \n", " if cb_rng[0] is None:\n", " cb_rng[0] = sm.y().min()\n", " if cb_rng[1] is None:\n", " cb_rng[1] = sm.y().max()\n", " \n", " # Create figure with GridSpec for precise control\n", " fig = plt.figure(figsize=figsize)\n", " gs = fig.add_gridspec(1, 2, width_ratios=[1, 1.09], wspace=0.05)\n", " \n", " # Create the two main axes with equal sizes\n", " ax1 = fig.add_subplot(gs[0, 0])\n", " ax2 = fig.add_subplot(gs[0, 1])\n", " \n", " axs = [ax1, ax2]\n", " \n", " # Set equal aspect ratio for both axes\n", " for ax in axs:\n", " ax.set_aspect('equal')\n", " \n", " # Share x and y limits\n", " ax2.sharex(ax1)\n", " ax2.sharey(ax1)\n", "\n", " # Plot contours without individual colorbars\n", " im1 = plot_contour_2D_no_colorbar(fn=sm.true_log_likelihood, ax=axs[0], bounds=sm.bounds, \n", " vmin=cb_rng[0], vmax=cb_rng[1], cmap=cmap)\n", " im2 = plot_contour_2D_no_colorbar(fn=sm.surrogate_log_likelihood, ax=axs[1], bounds=sm.bounds, \n", " vmin=cb_rng[0], vmax=cb_rng[1], cmap=cmap)\n", " \n", " # Use make_axes_locatable to create colorbar that matches axis height exactly\n", " divider = make_axes_locatable(axs[1])\n", " cax = divider.append_axes(\"right\", size=\"5%\", pad=0.15)\n", " cbar = plt.colorbar(im1, cax=cax)\n", " cbar.ax.tick_params(labelsize=text_size-2)\n", "\n", " # Add scatter points\n", " if show_labels:\n", " axs[1].scatter(theta0[:, 0], theta0[:, 1], s=10, c='limegreen', \n", " label=f\"initial: {sm.ninit_train}\")\n", " axs[1].scatter(theta[:, 0], theta[:, 1], s=10, c='r', \n", " label=f\"active learning: {sm.ntrain - sm.ninit_train}\")\n", " legend = axs[1].legend(loc=\"lower left\", fontsize=text_size)\n", " legend.get_texts()[0].set_color('green')\n", " legend.get_texts()[1].set_color('red')\n", " else:\n", " axs[1].scatter(theta0[:, 0], theta0[:, 1], s=10, c='limegreen')\n", " axs[1].scatter(theta[:, 0], theta[:, 1], s=10, c='r')\n", "\n", " # Set titles\n", " axs[0].set_title(true_fn_name, fontsize=title_size)\n", " if kernel == \"ExpSquaredKernel\":\n", " axs[1].set_title(\"Exponential Squared Kernel\", fontsize=title_size)\n", " elif kernel == \"Matern32Kernel\":\n", " axs[1].set_title(\"Matern 3/2 Kernel\", fontsize=title_size)\n", " elif kernel == \"Matern52Kernel\":\n", " axs[1].set_title(\"Matern 5/2 Kernel\", fontsize=title_size)\n", " else:\n", " axs[1].set_title(f\"{kernel}\", fontsize=title_size)\n", " \n", " if remove_ticks:\n", " for ax in axs:\n", " ax.set_xticks([])\n", " ax.set_yticks([])\n", "\n", " # Optional text annotations\n", " if show_text:\n", " axs[1].text(1.05, 1, \"training samples:\", fontsize=text_size, ha='left', va='top', \n", " color=\"black\", transform=axs[1].transAxes)\n", " axs[1].text(1.05, 0.9, f\"initial: {sm.ninit_train}\", fontsize=text_size, ha='left', \n", " va='top', color=\"forestgreen\", transform=axs[1].transAxes)\n", " axs[1].text(1.05, 0.8, f\"active learning: {sm.ntrain - sm.ninit_train}\", \n", " fontsize=text_size, ha='left', va='top', color=\"red\", \n", " transform=axs[1].transAxes)\n", "\n", " return fig, axs" ] }, { "cell_type": "code", "execution_count": 4, "id": "a2c8214c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computed 10 function evaluations: 0.0s \n", "\n", "Computed 1000 function evaluations: 0.0s \n", "\n", "Initialized GP with squared exponential kernel.\n", "Successfully initialized GP on attempt 1\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 100/100 [00:09<00:00, 10.17it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Caching model to demo/rosenbrock/ExpSquaredKernel/10_100/surrogate_model...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "ninit = 10\n", "niter = 100\n", "basedir = \"demo\"\n", "kernel = \"ExpSquaredKernel\"\n", "benchmark = \"rosenbrock\"\n", "savedir = f\"{basedir}/{benchmark}/{kernel}/{ninit}_{niter}\"\n", "\n", "gp_kwargs = {\"kernel\": kernel, \n", " \"fit_amp\": True, \n", " \"fit_mean\": True, \n", " \"fit_white_noise\": False, \n", " \"white_noise\": -12,\n", " \"gp_opt_method\": \"l-bfgs-b\",\n", " \"gp_scale_rng\": [-2,2],\n", " \"optimizer_kwargs\": {\"max_iter\": 50}}\n", "\n", "al_kwargs={\"algorithm\": \"bape\", \n", " \"gp_opt_freq\": 20, \n", " \"obj_opt_method\": \"nelder-mead\", \n", " \"nopt\": 1,\n", " \"optimizer_kwargs\": {\"max_iter\": 50, 'xatol': 1e-3, 'fatol': 1e-3}}\n", "\n", "# sm = alabi.load_model_cache(savedir)\n", " \n", "sm = run_demo(lnlike_fn=bm.rosenbrock[\"fn\"], bounds=bm.rosenbrock[\"bounds\"],\n", " ninit=ninit, niter=niter, \n", " savedir=savedir, al_kwargs=al_kwargs,\n", " gp_kwargs=gp_kwargs)" ] }, { "cell_type": "code", "execution_count": 5, "id": "eb4d0286", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plot_two_panel(sm, true_fn_name=\"Rosenbrock\", title_size=20, text_size=20, cmap=\"Blues_r\", \n", " cb_rng=[-1000, 0], show_labels=True, figsize=[10, 6])\n", "plt.savefig(f\"{basedir}/{benchmark}_demo.png\", dpi=500, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 14, "id": "eb4d0286", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computed 200 function evaluations: 0.0s \n", "\n", "Computed 1000 function evaluations: 0.0s \n", "\n", "Initialized GP with Matérn-5/2 kernel.\n", "Successfully initialized GP on attempt 1\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 200/200 [00:41<00:00, 4.87it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Caching model to demo/eggbox/Matern52Kernel/200_200/surrogate_model...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "ninit = 200\n", "niter = 200\n", "basedir = \"demo\"\n", "kernel = \"Matern52Kernel\"\n", "benchmark = \"eggbox\"\n", "savedir = f\"{basedir}/{benchmark}/{kernel}/{ninit}_{niter}\"\n", "\n", "gp_kwargs = {\"kernel\": kernel, \n", " \"fit_amp\": True, \n", " \"fit_mean\": True, \n", " \"fit_white_noise\": False, \n", " \"white_noise\": -12,\n", " \"gp_opt_method\": \"l-bfgs-b\",\n", " \"gp_scale_rng\": [-2,2],\n", " \"optimizer_kwargs\": {\"max_iter\": 50}}\n", "\n", "al_kwargs={\"algorithm\": \"bape\", \n", " \"gp_opt_freq\": 20, \n", " \"obj_opt_method\": \"nelder-mead\", \n", " \"nopt\": 1, # increase number of optimization attempts since function has many modes\n", " \"optimizer_kwargs\": {\"max_iter\": 50, 'xatol': 1e-3, 'fatol': 1e-3}}\n", " \n", "sm = run_demo(lnlike_fn=bm.eggbox[\"fn\"], bounds=bm.eggbox[\"bounds\"], \n", " ninit=ninit, niter=niter, \n", " savedir=savedir, gp_kwargs=gp_kwargs, al_kwargs=al_kwargs)" ] }, { "cell_type": "code", "execution_count": 15, "id": "8e5219b9", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_two_panel(sm, title_size=20, text_size=20, cmap=\"Blues\", true_fn_name=\"Eggbox\", kernel=kernel, \n", " cb_rng=[-250, 0], show_labels=True, figsize=[10, 6])\n", "plt.savefig(f\"{basedir}/{benchmark}_demo.png\", dpi=500, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "id": "3294b503", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computed 50 function evaluations: 0.0s \n", "\n", "Computed 1000 function evaluations: 0.0s \n", "\n", "Initialized GP with Matérn-5/2 kernel.\n", "Successfully initialized GP on attempt 1\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 200/200 [00:27<00:00, 7.31it/s]" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Caching model to demo/gaussian_shells/Matern52Kernel/nelder-mead/50_200/surrogate_model...\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "ninit = 50\n", "niter = 200\n", "basedir = \"demo\"\n", "kernel = \"Matern52Kernel\"\n", "benchmark = \"gaussian_shells\"\n", "optimizer = \"nelder-mead\"\n", "savedir = f\"{basedir}/{benchmark}/{kernel}/{optimizer}/{ninit}_{niter}\"\n", "\n", "gp_kwargs = {\"kernel\": kernel, \n", " \"fit_amp\": True, \n", " \"fit_mean\": True, \n", " \"fit_white_noise\": False, \n", " \"white_noise\": -12,\n", " \"gp_opt_method\": \"l-bfgs-b\",\n", " \"gp_scale_rng\": [-2,2],\n", " \"optimizer_kwargs\": {\"max_iter\": 50}}\n", "\n", "al_kwargs={\"algorithm\": \"bape\", \n", " \"gp_opt_freq\": 20, \n", " \"obj_opt_method\": \"nelder-mead\", \n", " \"nopt\": 1,\n", " \"optimizer_kwargs\": {\"max_iter\": 50, 'xatol': 1e-3, 'fatol': 1e-3}}\n", "\n", "sm = run_demo(lnlike_fn=bm.gaussian_shells[\"fn\"], bounds=bm.gaussian_shells[\"bounds\"],\n", " ninit=ninit, niter=niter, savedir=savedir, \n", " gp_kwargs=gp_kwargs, al_kwargs=al_kwargs)" ] }, { "cell_type": "code", "execution_count": 9, "id": "973fd187", "metadata": {}, "outputs": [ { "data": { "image/png": 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s0qCW3nwyyZ70xFVnZ6ccfVd+Xxp0WrhwocomJaTUSSnTApgRFErfrhzU2bZtm+r4kjhRpvxJ5xkdHc0bIWc94NXU1ITBwcGcIhhSGnhXV1fe1MSdO3fmDCpqEY1G5feL1oDT6OgoBgcH80bt9Cj0nCWk9tLf34/29vac6xbpmZm9FpYVNwnCT5RkMpmM2xdBEARBEF6mt7dXXgAYmBFDPT09qnQ5aQF25SBGNBqVo/zSd6U1n7IruEoCTGvQaePGjRgYGNAcTJMGfMLhMBobG+UFp7OJxWKagzrSb5COs3PnTnkwMBwOIxKJqH6ncoBJisppDTBFo1GEQiEsWrTI8ICXdB/7+vowOjoqFyxZu3Zt3shVf38/tmzZopmdkE1jY2PBOVLhcNhUwRHp2Un3TvrdUuGWbDZu3KhaSFp6DtltQqRnVuhagCMDf8pzGBHKBFEMkCgjCIIgCMLXtLa25ggRgiAIkSBRRhAEQRCEb4nFYmhoaLCUbkgQBOEUVOiDIAiCIAjfsnXrVrnQCkEQhKiQKCMIgiAIwrf09fWhvb3d7csgCILIC6UvEgRBEAThSyh1kSAIr0CRMoIgCIIgfAmlLhIE4RUMrVOWTqfx7rvvYs6cOSgpKeF9TQRBEIRJMpkM9u/fj+OPPx6BgL3xNvL5hF/4wx/+gNWrV2NiYsLtSyEIZtj191NTU0gkEravIxgMorKy0vZxiBkMpS++8847mD9/vhPXQxAEQdhg7969OOGEE2wdg3w+QRCE+Fjx91NTU2hoaMD7779v+/zz5s3DyMgICTNGGIqUzZkzBwAQXHo3SsqO3PhgTcjUyarmVJnaP5vqObNsfd8uNTUVzI85MRFnfkyjHNx/yPYxJvdPmto/MREzvvPERwYuwMTxWFIVKrxPzVGGD1dMtsTDjgCypUxyConn1sv+2g7SMfYCqAHw2SVfwFDtSabaqZU2yqJd8mpfImOn7Zttu5P7JxE89n0EQ+NIxGqR+Ms83X1N+XsJI35fBEz4dyVmfT3gni0B3rYnlu8Euz7erH+XyLahpvG38OsXf4gJAPMBS/4+kUjg/fffxxsje1FTU2PpugBgYmICpzbMRyKRIFHGCEOiTEpfKSmrRMXc40ydoLqm2vxVyd+11/E0Qm2tuw6nrtL4/RkfZ9vpnFOhPvfBCfNOY/bcI8/o4MTBgvtXzD3yokhMFJh4Pffw6M/4h/r71Bx7+OQOTeKuriu8T+3Rhg4VrDFwLOWpyZbyIpItAebtiZUtsUg3lI5RA6AnfDH+FP4EjD5dK+3Ubvt0u+3V1OR2SCYmphw7v7Ltm23bUts12l6Pu+QFzD7vD/LfY9sXYt/zn9bcV2qjBX29krmKUf98vt8NDPp2LZzw9yz8vNu2xJLsd4Idv2+3v2TWv0tk29BLR52O3vDF6IhuA2DP39fU1NgSZQR7DIkyCaMjPFY7jzw6jn5yMPl+C4tOZvb9N+t0pOdu1OFIL6mCL2zpRZjvBS2JJV7izCUxJpIQI1syh/L+W7Wlme8WtqdgTR0y04fAOlb410tvx8vHnmloX7Nt1U775N0WtUQW72OwEnHKe2OmLRtpr+XH/K9KkAFAXfMuHHjjFMTf0x+wVfo8UwIt26c6LdJsiDDAvBADnLUjwF9+vRBav9Wqv2fh382IM2VbuvOMy/DUUacDL/7Q1HkJ8TElygrh1siORDE5l2z0frudDqZVkWalQwkIKs4YiTGvjJJKkC3l4oYtzXzX/AucFbvrG5BvHNbLQoyF8GKJ3vXYEWt2BVp2Oy2rHdXcf87xhxB/z9ixDft7LXiKNJsCTMIJITbzHWu25JRvZ2lfPKPOVm1EiVWBZravJBGsqcOeWecCLxr+CuERbIsyCrGLjdsjQ2acjuHRVKPizI4wc0GMkS2JjZdsiTdOiTGWbVM0EWaU7Ou22kG10vnMFmfJ8XrN/ZLj9ZYH4wCLAg1gJqTsYkWIAd60Iwkn7anQuXhEmQFr/t1pgUb4C0uirBjmDLj5Auc9F8Etx2NmxN/QaGohcWY1alZIkDEUY2RLfCFbYouZ9upmB9KrAswILESadI9Ni7MP/g8OvHS+KoXxwEvnY/qD/5O1v7VUdsCGQHMBkaNixTSgwSPKDNiPopFAI8xiSpRVzalCIGjcOYiUqqLEqw5GCcvOpt2OpVnHYyV65og4E1iMkS1Zo5hs6cA++xUgjZyn8L7OdyBFb4c8Uf52s23ZbKezuqYK6Vf/Ggc/PBfTZe8iOV6fI8jU+1ufOyOiOLMaEQPY+vzSuXsRmPMR0vuPQmrfkaUraEBDDasoM+C8bz/yPffS1wnnYTqnDCje8LrT8BoZAuyNDlntVDoqzszikhgjW3IGv9hS1Zwq7Dd1hsIYHYjzsxCrn8NnUGN0P/slHFgINCPtNLVvPgKYjyCAabDz80qyfapbIs1JITbznfy2VHHur1Fx5n/Kf8df+TQq37zc9Hkk/Ozbs+El0qz6doqeEdkwE2UUXhcD1qWZ7YwOmXE8zMUZiwngHhJjZEvs8aotOYnZtmqnnfJsl7yEl9VzshBsVgWa5dRGxlkS2Tgl0uyIMAlemRClc/eqBBkAVJz5n8iMLUDJ+EmGz+eGjzdrYzwGLbJxc74mYC96lk6UMB+EI9zHlihzq/NInUZzsOxc2pksDhR2PMzEmZFiIPkoIMiMvLi9IMTIlszhJVviiVNijEf7dEOAmUXrGu10Uq0INCupjYBz8yIL+WC9dwML0aWFE3PFAnN0Ftau/ggoIMp4+Xpe9mT0uCzFG8v5moAzAs2LDA4OYmBgAI2NjYjFYgCArq4udy9KECwW+nBudBRwvuMowkub9yiRW87H6IvbNXEmuBgjWzJPsdsSS8y0VxGEmAjtjxXZv8Vqu5buL6/omVVxNvMddmlZvMSXEqfWZJXufyatsxbcwaM0NxeDLbEewFBiJx0YYL8khR/o7+/Hli1b0NfXJ28bHBxEa2srBgYGXLwyMTAlyqrnzEKgwpgzoTQVexS6TtYdTbsdS14pL0Zf2MGaOnvzzRwUY35J+QK8YU9u2pITL3KpPe3/iM8L3In2yqqdeqE9skL5W620YTvRMx7ibOY74s+bcUqIAbm2VDJ+EjLDS4HG545sHF6qSl0kWzpy7VNVUUxX/AXl8WMx+Rf9gjRGYOXXizl6FovFsGbNGoyMjKi2t7S0IBKJoLe3Fx0dHS5dnRgwL/QhwuiohJedSiH0fpvbI0RWO5SAMYFWSJgBBouBmKCQIBNNjJEtmYOnLTk52FE9Z5apYxvB6DHdEmJ+bpdmsBtFMxs9syLOAO8KNKtCbOa7bP1+yWuXIvP+2TMpiwePQsn4SWRLGuw77qeYOObX8t81tZ/F3Pf+Vv7b6XRgiWKOnm3duhXhcBihUCjnsxUrVqCnp4dEGYuDiNB59JtDsQqPUL7TAi2f0zGS1siqpLIbYsxtWyI7OoKXbckp3BBjTrXR+tnO2cLoAbbP1GoUjac4A6x3LLN9LW+RZkeEzXyf7xzhkvGTAEmM1Zg+FQB/+/qpqqhKkAHAxDG/RvX4eaicDANgnw4MOCPQpLaVjmdMnUsE+vr6UF+vvQB9OBzG0NAQYrGYpmgrFmyJMhod9QYsO5dOVPRyW5yxSlXkLcbIlpzHa7bEC7Pt1U5b5dlGnRRe+dC7DhZiTbp/VsQZYKxtOiXOjnw/1/9aEWp2xVfu8fgXbBLVluRzOGBThexiuuIvutslUZYNC5Hm1JIUXmXnzp1Yvny55mfh8MxziUajaGpqcvKyhMK0KPPzyKjqnC69rFmPmOrhlgNyS5wZFWYsomNGX8xkS/xxwp68YEusMNNmRes8iiLAzJB9zXbasxPRM57p64WPxVZgGT+vM5VzrdqTH20p3/lHD8RRHj9W8zO97ZrncGHOJiBuVgQLjETBSJSZoKbGmRcywL/z6LZT0cPIdfHoaLJyQDzKLbMQZ4WiZiKLMdE6t6rjC2pHEoWuT2RbAsx1hFNTSdPnMoJT7ZVlWxW9XVqFlUizEz3jndoIiD9vxooQA5wTY8VsSzPX+zGkxy7FX+p+KW+v/ctndaNkBY/pskATXZxNTEyo/q6oqEBFhbl2I4m10dFRVpflSZgX+hDhhSwf02POxCg8U10AeyP/PEf8WYozo3hRjJEtGUdkWwKslS9nCe+BOFZt1a/tsxB2RZqVziZvcQaIKdCsCjHAGd9PtqTmhNEVqDu4CFPl76Nyeh6q443A7JnPWEWcAWd8Oq/o2XQqjelU2tb3AWD+/Pmq7evXr8ddd91l59KKFiaiTITOo18ciR207gHLOQmAGCOr1TVVtis1GqGQIOMhxsiWxMDrtuQU1HlUc/Tscvn/Pzww7fj5lffEqkATSZwB7go0J4UY4I49iWhHrKiON86IsSx4pAVbFWeANYE29oE4S0bs3bsXNTVHKs6YjZIBkBeR1isEUizYEmX0QhYf1p1LUSaNs5pvlu97+fcp/LLmLcbIlpyFly0B5jvCgLsCze+dR6W4cuoYrEWcdL/8Is6AXL/LWqTZEWESTogxL9mSFkZsw8lBDTuDGfIxbKQ4Whl0M5PFwJuamhqVKCOsY0mU+f2FrAeLF3U2bo+mAtackJOTxlmIMyPCzAtijIUQ86MtuWFHgLfm+LDAT51HHv7cDlrXw6JdW+1wmvXxVgffAOspWSxEFAu8EBXj7fdZ25PR4/EazJBwo38EiJcVwYJwOIxoNKr5mTSXTKrCWKyYEmVzaipRVmnckYj8QpZw+8XsluNRYneUiPe8BBbirFDUjEWqoshizCkh5pY9mTmvX21pbIpfOouT7ZVHW3Xbz1uFtVCzK9BEjJ65iehirBhsSe96WPl5N3w6IG7Kuh2amprkNMVsJLFWzJUXAQ6FPkR7GUuI5kjMku/6WXYyWTkgXuLM7nwzs2WTWYoxr3dsJciWjMGqCINRW5rDaAHx7GMaHYgTqb16vY3mI/u3WW2zVtIbnRJngLgCzYoQA5zz/yxtyct2xMpOlDjdPwL8FT1rbW1Fd3e35mfDw8NoaWlx+IrEg5koE8GBAN52IlZxIu0FcCb1pZDTYZXSaARWgsyLL2OJYrMnXrYEOJdG5jQitNdia6dK7BYXsdIueYszQCyBZlWIAc74fyu2dLBiWF2ZEP62I1GizkDxRs+WL1+OSCSCaDSak6bY39+vK9iKCduizCkHooefnYgdeHQunZg4LoI4cys6RrYkJl61Jd642V6prWrDSqCJJM6AXH/LW6TZEWGAcymKVu3pnfotqjW8Gg7+DU4/cLWlY3kZVtVSnax6Csy0r2QwZeo8IhAKhbBp0yZEIhH09fXJ2/v7+xEOh9HW1ubi1YmBZVHm1guZXsbWYZ32AvBLfWEtzowKs0KCzE9ijGzJOl6yJdaYba9ebavHznHunH/Zz36eo50Op6jiTIKlSLMrwJQ4Icbs2lN56C2VIAOAkepf4NipJQglT7F17EJYsSketqGFKD4dEGPQjRdtbW0IhUKIRCJobGyU55gNDAy4e2GCYEqU1c0OonxWcbyQAWdfyhJOOSCAzSgR79QXM+LMXiEQZ8VYsQkxsqXCOJFGZgenO49OtFU32qUWetfBqg1L91JUcQbYS8liKazMInpUDFDb0v+Wvae5z8Gy9yyLMp52ZOTYog1qSPghI4IHLS0tNH9MB+aFPiRYORCeiPJCVlLomnh1NFmMEvF8gRsRZ2ZSGs3Act6Ymy9jXohoR4AYtuTUy7x+TgWmy/j8HjNtVmQhJmo7zUf2Ndtts1bbJm9xBnhvvozoYkzPlqqTx5nano2IduTUoAbg3LxNwP/ijMiFqSgTtfMoohOxCm/nI8Ei9QUw5oDcEGdGcFOMiWhLfrIjwBlbsjvYwWJRUzvUzQ4a2k+09uq3tirBUqRZiZ5Z9e2AvehZpvYtoPoj4OBRKBk/yejlMseKEAOcE2NGbCmUPAUNB/8GI9W/kLc1HLxMM0rmdTtiPagBuFtYByCB5neYiDLWIzl28LoTsYrW7xZhlMjMCKtZcWY3pbHQdwud3whOiTGyJXb4wZacQpT2Sm3VehsVPXp26KSnkZg/KG/LDC9FyWuXGj6GXawKMUBc/3/6gatx7NQSHCx7D9XJ42RB5nc7EiXyLGFnWYoPOK5LSbiHLVHm9gvZ7w7ELjxHiUQQZzyiZm5Fx8iWxMartsQLXqP4RqH2mguLNmonesZDnCVnv6kSZACAxudQtX8hJt+dZ/gazWBHhEk4Icbs2lMoeQpOn/UxoIhNiUfkGXDGpxvNYiC8hSVR5uYLmV7G1hHBAfESZyyiZm5Ex8iWvInXbIkVZturn4TYUVXszv/RJP8iNNL98rI4S8/6QHd7Tc3JOdvNzkdjIcAkREpRzIfbdiQyLCLPgH2fDoiVEUE4h7nqi9UVCFY5+1J204GwfAkbwYkXtRLWDshNcWYmamYFIy9v0cWY2y9jJ+3JTVsC7KeSWbGlvxw6YOmcZs5hFBZizOn26mT7zHcu1m3Xjp93UpwBuT4+cOgYze/obWcpsoziBTHmpC35pd/kZv8IECMjgnAeLtUXvdJ5dNp5FMLI9TjhgAB7o6uAcQdkVpyxSGk0g9tijGzJGm7aEmD/hW7Fluqq2ZcFNzsQ54X2KlpbzUbr+li1Vavtkrdvl7+TNQBXduBkBPe2qFIYg3tbUXbgZMPH5IEVIQY4K8Z42pJINqR3LSz9u5fmbhLehqkoE3UkRyQHYhcnHBDArlPJ+gXOMqWxECwFmZNijGzJGH61JacRWYjla6/v4TWM4V3U4Xgch9O5XQMLsn8HizZqNb2Rl29XfUcZPXtrGcr3LUB61gcIHDrGVUHmlBgTyf971efzGtxgKdDcFmeT8RRK4ylb3yfYwkSUiTSS41UHYhceL20JJ9NfWIozq1EzL4oxsiV2OBGp8IM4E6njKGG0zT6PR7EDT8l/L8aVuADXcbkmHrD09yKLM0DytacDU6e7Ei2wKsQAb/p/P/t91v0kNzIinEhXJ9zDligjByIuvESaky9wlimNRoVZIUHmZzFGtqSP8t64PdrqtjgToa1KWGmz7+E1lSADgB14CqfiE8JHzPRg0T7tpjbyFmeAM+s12RFh8jE85P+L2e+z9OtOZ0TwSFcn3MeSKLPiQKjz6C68Roh4dihZR83yCTO3omNkS97Di7bEArfbKsCmvY7hXd3tXhVlSlgKNFHFGaDvj82INRYCTD6WQ/PFSIjxgUf0GRDfrxNiYUqUHTW7HBUmjdnPDqS+wrwTHo2LMVmT1QiRE6OrZsSZkXRGs/hJjJEtsYfVy9yuLf3vpKXTGj6+GViJMR7ttQ7Hm9pupW0awYn2a9fPOynOADbzZVgKLUPn84gYE8H3s7Alp/w+6z4SiTPCCFyqLwLedCC8Xr52zuH0ixsQd3TVSEqjmYVJjWDkBS+6GCNbmsFLL3MrtnQUwzXBrB7TCwMHx+F0LMaVqhTGCwLLcVb5x7meN5t87ZdHW5Xuq6jiDPBWpTkviDEnfb8TPr/QeXj5eC+lBxPehqko80Ln0SnHwQq96+XZwRR5dJVV1KwQrKNjZl/GZEvsKRZbchovCDEJqQ0sQwcWpi/AR5l3cFTJCZgfOMOR8xtFq62yaqd22qTT4gwQS6BZEWKAv8SYyH6fp91IeCU9mPAmTEQZOQ/ncaqD6cboKquURqtRM5bRMSfFGNmSNfxqS7wRfeCgUJudHzgD8yGWGMtH9u9h0T6ttkknO5VuR8+sCjHAWTHGw5784PdFHeAA7NkRr3R1wl1siTLROpB+cCB24fHiBpwdXeWR0mhUmLklyMiWxMMPtsQD0dqqRLG1WeXvtds2rbZJN8SZBE+RZkeIAd4VY8ViQyxtR4LFoBtg3JZ4pKsT7mNJlIngPIDicSB2EMn58BJnRqNm+YRZsYsxsqXCeD1SYRdR/L4EtdkjsGybVtqkG+lYLEWaXREm4ZQYI9/PDtZ+vRhS1gl+mBZl5EC8iyjOx4o4YxE1470IqBOpimRL4uDVSIUV3G6rALVXM0j3qhjEmQQrYWUFr4kxsiV9ePh1EmeEUUyJsmNmm9NwxeBAQpXGf2NsSizjctv5mHE6rAuBGEWU6BjZkhqyJTXHzinHVIB9Md1jZpehstpc2yuGgQMzbVWJ0+2WRbv0mjhzEq+IMaftaG/61YJFdKzYkBftB/B+yjrhHFxK4rN4Kbv1Mrb6suVxbCcdEGvnI4I4syvMWEfH3BJjZEvFY0tu4ZdBA55t1sjxebZTu+3SaXEGiCnQrAgxoDjEWKiyHE8f6sXA9BZ5W2twBZbN6mB2/HyIbD8SdlLWSZj5H6aizCsOhPeLlxX5rlN05+OEOOMlzFhHx/z8MiZbyo9btuQUXh00ELXd6l0X6zZqJ73RKXEGiBU984oYc8Ke9NrpSPJ/MJDYoto2kNiCc8s/jYayj7lyXTz8uxf6SIQ3YSLKRHYgor587eK083Ha8bCKmplNZ3Q7Oka25Dx+tiVeeGXQAPBHu83+Dazap53OpRviDHBWoFkVYoB/xJgZ+/kg/Y7u9gbwF2Va8LIdCVYRaMC4LfFKVyfcx9ZT9boD8Rs8nY/TqS9uRM1YCjI/iDGypSN42ZZY4gUxVgztVvkbWQs0kcUZkOuDWYs0O0IMcFaM8bAnO/ZzTOAEU9vdwAnf7oeBN8IdLIkykTqQxfACtgqPFzfgbOqLmaiZHWFWSJAVgxgjW9LHD7ZkF5E6jkqKvd2ybpteEWcSWr7ZiFCzK76y8bIYY2VDDWUfQ2twhSqFsTX4d46kLlqF5wAHYN23kzArTkyJsvpZ5aiy4EREdSDFBI/RIbsdStZRMzPpjGbgIcj89jIuJrxsS1ZQttX38BrG8C7qcDyOw+l5v0cRXOdh2cH0mjhTwlpw5cOrYoyXHS2b1YFzyz+ND9Lv4JjACUILsmy8HoE2y8FEEoF40tb3CbZwTUr1ggMpVrz48mYZNTOKkZe7E9ExsiVxEcWWJtPsn2v9rCPHfB6PYgeekv9ejCtxAa5T7y9YOlUxw6pdelmc8cTJxdRZ2JWTdtRQ9jHX5pCxwssRaMK7cBFlrF7Mor2MqyvY3q6DNkYoWOKll7eZqJkdYSZKdIxsyRh+tSXA/rpnLHgPr6kEGQDswFM4FZ/AcTi96AYNrLZft9opi3bphjgDxBNoJMbsY9f/O21HPAbeAHO2ROKsOGDaM/K6A2HdUWRxPrecj1vijGXUzGo5ZdaCrBhfxmRLbGwJmGkLbguzMbyruT1R9gHqSz9u+/gidRx5tt1Cx3aijdptl074dyUiRM+sCjHAHf/vlj055ffznYe3DbmdGSG1p3cO2jo1IShMLMhrHUinO4x20LtWLzgeOw7HragZ63RFv7+QyZYK42aUghV1OF5z+1El1ququS3ERGy7WtfEq33abZe8/Xs2bkTPSIxpI6LtSHjJhiSs2JIytZzwD7YtS3QnIrLzsIMbjsdpccY6alZImLEUZE6/kJ14GReLLfEUaW5FKexyHE7HYlypSmG8ILAc8wNnmD6WG2LM6bY7PP0K3k/uxbyy+WgsP9PWsZxon3bapdPiDOAr0OwIMYB8v4iIbkMSbg++Ee5j2dJEdSJedx52UP52EZ2OWYdjNmpmNJ3RKrwEGdmSWDgx4OFGlMIuyyo6sDB9AT7KvIOjSk4wJciKKXq7df+/4FeHnpT//tysq7B8zv+P2fF5djC9Js4Abb9sVKjZFWBKnK6oyMum3LYfJ+DZV2KVGUHCrDgxbX0idiCLwYmYxYkXN+DMy9to1IzX3INiEmNkS9o48RIXVZwp2+n8wBmYD7HEmEhtdnj6FZUgA4BfHXoSCysvsB0x04NH2/SiOFPCUmwZwcnoGA+bEsmGnMZPgxyE9zFliXWCOJFidiBW4dWptOt03IqaGUU0QUa25D6i2tLkgf3MrkXCis8v5pT095N7dbfzEmVKWLdNp/y7hNcqzHlZjIlsR27Cc5ADMG9LJM6KC65WydKJkANhh0gjqzyjZnaFGQ9BJsILmWyJHSLZktVBM1ZQ9BaYVzbf1HaesGybTvl3CZHFmZfTFL1kSyIgkn8ncVYccLFQciLeQZSRVR5RMzvCzIggIzFGKBHFlpyG0qmO0Fh+Jj4366qsOWVXOxIly4d0P70qzgD3BZpVMQZY8/+s7MqrtiQaovh3mm92hFgshkgkglAohO7ubt39+vv7MTAwoNrW3d2NUCiUs+/g4CAGBgbQ2NiIWCwGAOjq6mJ52Xlhaq1+dyJVFaVcjjsZT3E5rllYvbiBmbYgQtTMrDATJTrmZ1vyux0B7tuSUxTzoIFeO76+4ov4v/HP4L3kXhxXNh+nVpwFQIz2yapj6cZov1vRM6fFGMDGrkS3J7vvATftibV/B8zZUn1FBSqmE7bP7VUikQii0SgWL16MwcFBtLS05N23tbUVPT098rZoNIqLL74Y27ZtUwmz/v5+bNmyBX19ffK2wcFBtLa25og6XjCzWq87EV4dRbvndsPxiPDiZi3MgMIFQPwkyIrRlgqdtxhtiRd+HjQA7LfhUyvOksWYmWM62UZZdCzdGO13InpmR4gB7okxEezJKf8vQr9JhBThYkQZFduyZYvufkNDQwCQI9rC4TA2bdqENWvWyAIsFothzZo1GBkZUe3b0tKCSCSC3t5edHR0sPoJuti2YC92IN0UYGbRu1annY7TL24zI6os5pmJkK5ItsSXYrUllnixjeohYtvVuibe7ZNVu3RjjgxLgWZXiEm44fvdsCkR7Uci+9qc8PEsU4RJmLFhcHAQixcv1vysqalJFm0AsHXrVoTDYc2UxhUrVqCnp0dsUeYVJyKy47CD007HTXFmVJgBxuaZWYGnICNbcpdisSW7eKWdauHltutU+7TbLt0uYKDlo7PfB6yElxZ+FmNeth/AWR/PInrm9uCbn+jp6UFbW1vO9mg0inA4LP/d19eH+vp6zWOEw2EMDQ0hFotpijaWBKx8yY4jqa4o4+5IqipK5X/FgvI38/zdLJ6f2fZj5mXH46Vr9Jj1FRWOCjKyJT742ZasnsPqeaTf6EYE169tl/dvs/vMrLYXK/6zEEdVlav+8cDqdYvs+/1sP4B3fLwd30sAbW1tGBwcRHt7u1y0Q6K7uxuRSET+e+fOnSqRpkTaHo1GuV2rhClRFqoos/1y5oHfHYgVeN8Pp52NmRcfy5evGUFmBhYdXR6QLeXiN1sydWyL1+W0ECvmdstboFlFJHHGAztiTDTfX8z2A3jDx4vMxMSE6l9ckOqQ4XAY3d3d6O/vR0NDAwYHBwEAvb29aG1tVc01MxIFc0KUOfLW5OVECGMo7xXrsD2LlBde6YxOzTFwOjrGA7InYwhtSwLM1aJ0Knfh0T6d9vESoq7LZEcw2hFjrPGiDb0R/1NOVVPWiOrjeaQ0HoqnUBq0/hsPHb4/8+er12Fcv3497rrrLjuXxoyuri6Ew2G0t7ejtbUV4XAYAwMDulExLSSxNjo6yukqj8D1DUqORDx4ORwnnQ1vYVYsYoxsyR4i2pJbOJFGS5hDumciiDM7HUpRxJkfxJiX7eiJ2D/j5/ufkP++fM5KrAx9nus5RfTxIhYC2bt3L2pqauS/KwSLdIdCIXR1dWFoaEgucd/X14empia3Ly0HS3PKCsE6xF7MYXWe8LivduciGMVo6ojZVEbRBBnZkjcQzZacxIlUWsI6rO+jG/PNAPfSGu2c1+rv5eX3vcob8T+pBBkA/Hz/E3gj/ifHroHHPbT6nEOV5UJkRkjU1NSo/okkyiKRCGKxGLq7uzEwMICenh5Eo1EsXLhQTmcshDQfTa8QCEuYijJyJN6FR4fSCjyKgBid5M1DkNFLufgQxZZ4w0M0khDji0jizCqSSOIt0Oyew+3omJ9s6b3kXlPbeVLMA3B2aG1tRUlJiaV/2UU6jNLb2wsAquqLHR0dGB4ellMarR6bF8xaAUtH4jWM/nYvpCOxTHmxGqJ3I52RlyCzQrHakp/sCBDDlnhAKVXeh2VallN+XgvWqY0shB75ffYcVzbf1HanYJ3eKJKfZ83AwIDj5+zu7sbw8HDO9nA4jF27dsnFP9ra2hAOh3ULeUhzyczMQ7OKbS/gV0fCY9TCS51OUV7aPISZVXgLMrIl9scjW2ILzzbqxCR+q/AaxRapfbJom24VMMj2zUZFGutom5uCTDS/n42d37ig4ly0JVahP7ZZ3tYWWoUFNecC8JcdAdZtiThCoWqKoVAIa9eulYVYU1OTbtRMuQ9vbHkCPzgSEUPGWtfkpoG6+dLmIcysYPTlXcwvZa/YEuCePbndAbZzPhbotVE3JvFn40b7Fal9smibohQwcHruWTH7fQne9rP6qC/i/NkX4t3EXhwfnI8zKs8ueG6v2hHg/gCc1wmFQoZSE6XoV2trK7q7uzX3GR4eVpXP54mlOWUs8l/dynVWLowpYidSj+zrduPaWTwvK9duZl4W65exmXkFbs0dI1syj9vX7pYtWT2PXfK1UTcm8YvgT/Ph5vWx8Ce2ChgIviZTNm4JMlH8vpPt84zKs3FRzSUqQZYPN22c1fMRzTd5iXA4nLeYx8DAgCy2li9fjtHRUc0Uxv7+fnR2dnK7TiWmRZnXHInIL167uPHb3HQ0Tgsz0dMVyZbYUWy2ZJQqB9oo70n8ogswozj9G1iJMyt4QZy5VcSJ/L513BzksPPM/HDveRGLxXTXD+vr60MkEskRZrFYDJ2dnYhEInKKYygUwqZNmxCJRFT79vf3IxwOq4qF8MTUU2bxguZNMTdc5W/nHfJmlerCK53RbiojT0HmlZQVsqUZPGNL+1ldkX3MtE/Wk/iLpd061UarKkpdTWkE2C6Yaxe31pt0SogVo/0AzqQJ2vX1NNdsho0bN2LHjh2IRqPyv9bWVoRCIaxYsUIWUKFQCLt27UIkEkFfX5/qGN3d3Tlzztra2hAKhRCJRNDY2CinPzpZpMQR6+PtTIrFiZjByRc2YM/JAOaukbcwE1mQkS05j1dsye6gGQustM9TK87C5XNW5swpM1rsg9os/zbq1iCchAgL5vpVjJH9zOD0QBwJM+t0dXWZ2l9vrpgWLS0tjs0f04KrNZIzEQMnnI3TI0C8hJmogoxsSQy8YEtuYLd9rgx9HktmXWC4+mKxttdXp/ZoFjpQwrNAgBuDcBJuRs38KMiK1YaMwNOGJOzYUnVFGTIJen5+hNtT5eVMyJHYw4kRVa8KM14FPUSNjpEt2YP3i9tu2phTsGqfp1acpSvGqK0Cj3z0g5yS4KuP+qLu/jx9vZtpWE6JM7tz2kQUY2RH5qBBOMJpmFsoORPvwKtTaXcEyMw1sRJmIgoysiVvIHLnlycUvXWOV6f2qAQZAPTHNuP82RcaqkTH09e7ETUD+IkzFgVGRPP7ZEv2EXlAm/APTC2VnIk3EfWFzUOY2cHrgoxsiT8i2hIPaMDAWd5NaFeifDex13B5cIBP+3S7eEG2X7Yi0lhWerTahlnbFNkSP0Qc0Cb8AROrpQ6kPxDthc1DmFnFKUFGtuQPRLMl1tfAGmqj+Tk+qF2JUm97IXi1T7eiZkqUvlrvncCj3L4og3BkS87BK3om2iAc4Ry2rZecif8Q6YVtVpgB7qeziCLIyJ7cRyRbYnFellD7NM4ZlWejLbQqZ06ZmSiZFqzbp9tRs2ycWutMBJ9P9uQuotkS4U0sWzG9oP0PDyfDW5gBbKNmZl7qIryY7VwHwQ9RbMnO+VhB7dMaq4/6Is6ffWHB6otWEKl9OlH5jhUiRMfInsRCJFsqxGQ8iZKg9euc9ICNeg1L1lzML+hqRr/9oIdGP1g6GaujP24IM68JsmK1JcA79iSCLVk9j1281j7NoNeWWbfLMyrPZirGshGpfYq+HhMJMiIfrG2JImbFgWmLLgZnwrKzaPUcInYy3XYyTr6kvSTIit2WCp2HbMk6sxg8P5HbZz5YtF0zxxCpnYrSPkUUZiTGrMHzXSCS7WTDypYonbE4MGXZLF7QgFgOxalOo1m0rksUx8PqRclbmFmNlpEgswbZknlY2tKB/QwuiDEitc98iNB2RWynInQoRUpndFuQiWpPbtuPU5FqO7C0JRJm/sVRCxfBobjtPOyQfe1uOhw3HYyZc5sVZrwFmZ/EGNkSG1jZEqtBMxaI0D718FK7FaWdujkQx/oarJ7bDn4RZF6yHUAc+1HCoh2LOghH2McRK3fTmXjNiZhBBIfDysEA/OaZ8SiX75YgI1vig/K3eb3j6yYidByz8VO7dbOdijDS70bUzG1Btjfz6kxxlwzb4i5G8JPtAGL0mWauw347FmkQjmAH9zeoGy9pvzkSo0i/u5he1iyFmdEoWTEJsmK0JT90fN1AFEFWLG3WrXbKoo2yKAJi9xqMnsMqLHz+1v09OcsgrD7qi7aPm49isR/AvT6TROiPQyj98+s4cGIY8YVLXLkGQiwCPA/u9Eu6uqK0qByKHtJ9cPpesHjevBanBfKLLhJk2ecjWwK8bUtOUV1R5vr1uvWcRMGrbdSub+TR9lgck8Xv2pt5VSXIAKA/thmvTu2xdWzt85H9OP37Z6//CuZe/CmEOm/ACZd8BvVfu8OxcxPiwuVN6uQLulidiFGcHgliNYpqZgTVygLTVnBDkJEtiYMXbYk3lE4rFk5Hz1ilr9stXMDCVli1ZVY+/93EXs3P303sZZbGSDaUixM2VL7zRcz+zv2qbXXf/xYOXnoZRcyKHOZvVKde0uRMzOG1lzVPYWYFPwsysiVzeM2WeEHptGLj1CCCGwNxha7F6PWwbsMsff7xwfma++htN34OsiGj8LKh0j+/rrl99ttRlH3yk0L6e8IZmKYvOvGSLuYQOyucuodOp4C4nUKlxAuCjGzJPl6xJdY4HcGltmodr7RR1qnrUhpivn8ssXP9WtdzRuXZaAutUm1rC62yHCUjG7IOax+UOuW0vNtF8/eEczB58k51IAm2ODGS6oeImdn2bfflzBuyJfY4ZUsz53BvFJWit97FiTYqVQqsx/E4teIs09/34gK5PAfgVh/1RZw/+8KZ6otBa9UXyZbYwsKOphctwYEv36pKYTzwj7dhetGR1EVRMyQIvth+w/J+SZND4Q/vl7XdzqSbwsxPgoxsiT9eGOiwc17+56A2yhtebfSRj36gKkxx+ZyVWBn6vKVjeWWBXCcyIs6oPJvEmIDYtaMDd38D8b9ZhtI/v47UKaepBNmRc7g/EEc4i630RZ4vaQq1Ow/v+22nvbiRyugXQUa25Dwi25KI56M26jws7/mrU3tyKgX+fP8TeCP+J8vH5FmJlwWipqiTLTmLnfs9vWgJpv7uGk1Bpj4HpTMWC5ZFGe9OJOEOvB26V4SZnwQZ4Q4i25Io56EOpPuweAZ6lQJH8a6t44oqzEQWZIQ7+MXfE+5iSZTRCI//4fksnBRmVvCDICNbEgdRbcnQ8YM0YFAs2Hke+SoFilYAxC4iCjLy9+LgZX9PuI9pUUYOpbgQ0bmYeSnydmKiCTKyJXER0ZbcgNqouFh9NoUqBdqtdiiCMKuqKBVOkJEtiQv5e8IKpp4uj1FTcijiw2tiuJ2CBWYmgps5jxmHJ6IgI8SGpy3t38/0kMyx2j5fmdyDdxJv44TgiTizis2iuUR+rLRTI5UC7fp8wJ3KjKKJsZljkr8XnWL294Q1XJPc5FC8R3VFqa+FmVcFGdmS9+BiSxxTDe1itY32vP8gntz3mPz3VXOvRee8m1ldFlEAs+3USKVAp5dJsYtogoz8vffgIc5Y+PtYPInp8mnL36eqkOxhuni0UcipeBce6RIiFCwgQUY4TTGkHtn5ja9M7lEJMgB4ct9jeGVyD4tLIwzCo416YZ6ZqOmKhHeh50cUwnFRRo3SH4gizKxUZNT65wT0gia08OtztPu73km8bWo7wQ8RB+N4CjMWxyZ/T2hBz5HIh6OijBqjvxDlJe3kJHCr56IXNJEPvz1PFr/nhOCJprYT/BHF50uwiGZpHdMu5O+JfBRDlgRhDUdEGTVA/yLKS9qpdBYrsHxBky35Fz88V5bt88yqs3HV3GtV266eex0V+3AZUXy+Ehb+n5XAI39PGIWeLZEN97wtanT+h/UkVqsTwXlOABdFkBH+hle1Lifg0T47592MT9cspeqLgiGKz1ei9NFG3wOsB/PI3xNm4VH0ifAuXEUZOZXigqVzYfGSdht6QRNW8dqLmmf7PLPqbBJjgiJqOy1UPp9HZgX5e8IqXh6MI9jCLX2RnEpxwvK5W3nJ8XjZWjkmvaAJu3jluXvlOgk+sHr+PAouSSmJ2f9EhuypeKFnT3ARZdSwihs/CTMSZISbiP78Rb8+whlEFmZOwOq6yZ4IagPFDXMPSA2KAMRNazEDCTJCBES1JWqfhBJW7dRrqeskyAjWiOrzRSEWi6G3txf79u2T/x4dHcXatWvR1NSk+Z1oNIpIJAIAqK+vRygUQnd3d85+g4ODGBgYQGNjI2KxGACgq6uLzw/RgKkoI6dCKHHzJc2z6IcTkC0RSkR7SVP7JLRg0U5fndqDdxN7UY/jcWrFWYyujA8kyNgTeHE7Am+8jvSppyG9pNnty3EN0Xy+KMRiMWzYsAFr165FKBSSt/f392PhwoUYGBhAS0uL6jv9/f3YsGED+vr6EA6H5eNEIhGVMOvv78eWLVvQ19cnbxscHERraysGBgb4/rDDMEtfJKdCaOFmWoudNEY3o2RkS4QWorQLUa6DEBM77eORj36AW965CQ98cDfWfdCJJ2L/zPDK2EL+/giBF7ej7InNCLy43dZxgutuR/UFn8SsG69H9QWfRHDd7UJcl1v4oW2wZuvWrejt7cXo6Khqe1tbG0KhkBwNkxgaGsKaNWuwbds2WZABwJo1a9Df3y//HYvFsGbNGmzatEn1/ZaWFoyOjqK3t5fDr8mFiVcphoZTXspvSbfpVJrbsUXAa2ktJMj4wdOOALIlJ85fDJhtpyXbt6PkjdeROfU0ZJq1R/eV+yQWLWZxmcJipZ2+OrUH/bHNqm0/3/8Elsy6QLiIGfn7IwTX3Y6KB74p/x2/5TYk7r1Pc998dlWyfbvqOABm/r7ib1U2JdnRdOMpeSNpZq5LZNz2+aKhjHQZIRKJ5ETVAKC1tRWLFx/xw1u3bkU4HM7ZDwBWrFiBnp4edHR0WL1sw9j2LH5wKnrw7kBqncevnUq3HIsTaYz0gi4M2RI76CXNBzNtVCmwSp9+CmX3b5Q/S97aheQG9VyFsrUR1T6lin2onc7wbmKv5vb3knuFEmXk748QeFFbSCUvvwLpJc26NqU1iFHyxuva+77xuryP0o6COGJr2TZU6LoI79LS0oKxsTHNz2KxGBYtWiT/PTQ0hMHBQVU6okS2wOrr60N9fb3mccPhMIaGhhCLxTRFG0tseRc/OJVsnOo8Gjm/317WLDqTvOeXuVUumWyJ7/nJltic009Ic1cCp5+RE93KF/nKFljZlN2/EallV84c543XgUQiZ39pn0xzM7XTwxwfnK+5vaHqZIZXZA8SZGoCOkKqYvOjSAUCmlHjbPuRhFXm1NM0j1UyPIyS7TPph3p2VJ51nozOdQXeeN2ToowG4gqzceNM21CmL/b09OhGv7LZuXMnli9frvmZFJ2LRqO6hURYYdnD+MWpAO53HvXw48vaLWFmBLfSFsmW+EO2ZP9cfmLWHWt1o1t6nUZgRqzlE2QSZfd+HaXP/DLvPoFfP4OMQviVbN+OCsXffmmnRjmj8my0hVapUhjbQqtwRuXMwuFuV2QkQZZL4PQzNLeXbepB2aYe2XakQY5CAxTJW7tyPi+/527gnruRuuRSzXMpI2mFriutI/y8AAkzfWKxGHp6elSFPICZIh3S35JoC4VCGB4ezklpNBIFE1aU+cGpiNp51MNPnUo3hBmPNEYSZDOQLbmHEy9qP7RR4Mhz1xJWyuhWvk6jXopVNoUEGXC4s3mY9OIlCOx4Uf47eWsXoEiB9HI7NdNGVx/1RZw/+0K8m9iL44PzZUFGOMcrk3vwTuJtnBA8EWdW5d5/pf/UE1ISZfdvBN57D2VPbNb8XEISVskN3UgtuxKBXz+jsg9A36aUETZlhDv7upK3RTwZJVMiqjCbmJhQ/V1RUYGKigqu55TK4g8PD2N0dBQDAwMqQQYcEVEbN25UlbWPRqNYuHAhdu3aZSiKJu2TXVyEB6Z7lV59QXut45gPP3UqnSSfMHMjbZFsyX3IlvxNcOcOU3NX9JA6jXopVkpSn7sUpb8qLMqUKAUZkJsCGVRcvxfbqZnO5BmVZ2uKMTfXLyuWKFnP+w/iyX2PyX9fNfdadM67Oa/Pl4RU6aOPoGxTT87nhQQZoBZWmeZm3fTD1CWXqsRZcuUq2W615nbGf/eCyv7LFcfyoh0BbIXZWDyOeHnQ8vcn43EAwPz56tTj9evX46677rJzaQUJhUKy0BocHERnZyc6OzvR1tam2m9oaChnPbJwOIyWlhasWbNGc76ZmzBfPFo0/NSB1MKrnUqR0xiNnruY8LsdAcVtS3q4NcfSDpIQCwwOqDqEheau5BNc0mdakYHkbRGkLr9C7vwBMC3KtMhOgZSuv5jbqRs+v1gE2SuTe1SCDACe3PcYltZdhLOqzlFtz55zmWluRgrQFGWFSC9pzkk/1LPF5Lo7kVx352H7/s2MfeuIPmlgI33NKs3rVs5D85IdicjevXtRU1Mj/807SpZNS0sLFi1ahLq6Os0qidkRNABYuHAhOjs7DaUtSpUe9QqBsMRUT8tLL+jy0kBRdCSVeO03s3hJmX1hVlWUav7jeU7tY3jLlooNr/1mL7UnXpSXBjDrjrWo+NQnEFx9bc4Ifdn9GxH40cPINDcjvXiJ6jOpYyiJLiXJ2yKqTmNyQzfiv3sBiUceQ/x3LyD5jftmjnnNKt1jWCE7Xavs/o1ywQPlb/b6WkxmcXJArFgEGQC8k3hbc/ve+Nso2b4dgcc3z6T+ro3INlbxqU+gbO1MYYVMczOSK69RfTe5cpXWIVUEXtye067z2aEUsS574vGCx1ZGv/WuGyB/b5eamhrVPy1R1traipKSEkv/jJS/D4VCaGtrk4WWhJYgU27fuXOnpd/MC18O93vNwFhTXhrwzMiPqDnSPBHNoeajmG1J+u1esSUvDZqxprw0YKgIR7DzJiSf/4+cdEGpY6ic15Jv3TGpc5iNNBKfWnalfIyS4eGc+TGF0EuBzC5qULY2gkrFbxZ9LSYv+ftiy4Y4IXii5vZPfOOnqPjOI7rfkyJSpU8/pRJKyZWrkPzxY8BxxxW0S61iHfns0OjcTinilm8eqXRc8vd8GRgY4H6OxYsXo7+/H4ODg2hrazNUeTEajQKYEWnS/2cjzSXTE3gs8VWPy+1I0XQqrfrnJm7fCyfx0sipVwSZCO1HFHsS4V4Q2iifjdGOmt4cF+X3lZGv7Hao96/k9i7VSHzp008hfc0qpD97ieb5kqtv1Nw+fcd6JL9yp+Zn2UUNsjuaFQ98U/iImRsZEm4e3ws+v7w0gHPnfBwrj75Otf3Wdz6DeXkEmUTg18/kip4nZiJryshyouchze9PN56iaVOJRYsRv2olEosWq7YbmdspRdZKtm9H6aPav0HLZxjx9a9M7sFvYr/CK5N7Cu5LsKWurg7t7e2an0kCTBJXTU1NukJLQlrXrKmpSTcipzweb3wxFORUh8lsx9DI/ryv3QtRM6+MnhbLyKkT9mSlTRb6DtlS8aD1rI101PIhfd/KM9ZarLbs/o2IX7ZspuLbLbepPpfmoZU98rDuMbXmrhmJFpQP/xlxj1eZMwKv+WXFKMgkvnDc3+PC2qXYG38b8ytOxDn/vdvWsaUIWGLRYmDRYgBA5vXXVLYQv7XLdFXExKLFujaljKwVWlMwc+ppOfPjlEtTJA5fsxK9YigEf2KxWN5UxuHhYQBHIlorVqzQFXDKCBkwk16ZXRBEedyWlharl22Kkkwmkym008TEBGpra/HOB2OqyXwiwLMj5nQHjHenUvQOpV1hxnsCuN+jZH5rf37yDUaYmJjACcfUYXx83LafFtHnB17cjvLhP+umFAKFF3aWSK68Rp1qdVsEh77+DcvXVvbEZsy68fqc7Yce/rE8r0ZarDp96mkoPf/8gtebvLUrbxplyfbtqPjUJ3K+F//dC56o1MhqII6l3y8mQWbEP+q1MSWSGNLa7+Dzv9cUXEpbsFOmPvs4yt9U6NqTt0WATEZlf1pLUyQ3dMt29MrkHnxhZHXOsX7Y8Ijm8gE8sePvJf++6T9eQdXsOZavYfLAfqy58Ewm7xyjdHZ2oqdHu6DMwoULEY1GMTY2Jm+rq6vDpk2bcqoytra2IhwOy8eKxWJoaGjArl27ctIUGxsb0d3dnXMMHng2J4dnSpFb6VK8U7VET8MS+SXmZ0HmhC25aU88EN2W/EZw3e2ovuCTmpP0lUUIpDLy+ZiZ67JZTqk6+PzvbQkyQH9RWuX29JJmJFeuQnrJkZTIQ/dsQPx3L2D6jvU535U6i5lTT5uZm2aiGIKEyO2UlU9kV4yjODIhAOMDVnptTKvQTfZ++SJgSluwQ/ZxlD5fL5KcXNOJ+O9emIlUZw2IaC1NUbJ9u2xHesVQ9LYT7IlEIjnFPACgt7cXQ0ND2LZtm2p7X18fIpGIav/e3l5Eo1FVZCwUCmHTpk2IRCKq7/f39yMcDjsiyACPpi/y7ECKgnQtPH6rX9Ow3CyR71XIluzhV1sSieDOHZqpgXJxAUXHKnXJpQWPl25pBQBVSpVd0kuaEc9KpzKalpVYtBhlr72qWkNJQq8svvy3gaIkALXTQrAWZKIOwlnxgXptLLutHbpnAwKXLWMSAbPLdCqNQOMp0FqBK3XdamSamxF4vPD6aYC6CMnJs07S3EevSArBHim6JYmnWCyG0dFR1NfXY2xsLKewR0tLC3p6erBmzRrU19djdHQU4XBYTnVU0tbWhlAohEgkgsbGRlnIOVGkRMJz6YusO1ZeelEVy28XLY3Rr1GyYmlPWvjxt/sxfbG8NIDA45sRXH1tzmfTd6w3XdUQ0E+pYoHVtKzAi9tRfcEnDe2rTE80iwjtNBu30xiLVZBlz6Uy+pkSEduTkuC623PmnSW/MVOd1EhqJpBrbz9873t44sNH5b+vnnsdOuZ9ieFVG6NY0xf9jmciZSw7UaI7Ej1Yj/jT6Cl/vPKCtopX24/yulncC7Il9kjPxWwBj9Qll+as8SVhpaiAGdJLmi0dXyvSNn3J51D+zK9y9tUqH56zj06nWmqnrOb0iIQkrsyIs2JJWcz2cdlzGZUR2HyfAd7y+Yl770Py8ivU884Of6a1EHx6SbOqeml2OjBwpBjKm4fewgnBEx2fS0b4G09Eyoq9A6mHn++LKNEyP0bJWLQbEduMXbx+X/wUKSvYicxTXCD+uxcAAOnXXpXndHlFgCjFEgDN6FmhSFmhTnX25yKsbca6+q4R/89DkInm77WK4+QrEANA9zOtSoReRl5KQzGAkZ0OrbQdvYEOLZ/vxKAHRcr8ifDDRH4WHnZhFTkTcZTfK2Xy8yHaC9rrooM306k0E1uSjkVYw9AzyGQ0R7qlke3pVFo1X0x0MSaRHWnTmqeWWLRYc/4ZUHiRXL21zZKXX+GZe2QEragZ/7XNxPL3Oal7hwWGXgGMfOv8pV97ldn8S1GQ+0+HF4LPZzv5xFp2/yn7vosw6EF4B6FFGXUijcFCnIkozOzAouiHn1JbyJaMwUKYAf6zJ6fQGr0GoNtZ0ipC4Kf7rpV+Bei303wd7kxzs+7ngTded1WU8RqE85MPN4PeunmpZVfqpgPnSxPWqy7qByRb0rUNrYWxFQMdgDotOPu++3HQg+CHmLVyQZ1IK9j9vaKVTxZt5NEMIl072ZI5WJXSF8mWvIB0v8rWRlDxqU8cKX9/79c195c6UZnmZqSvWYXEosW+bKd65cO1fmuhDrfe537udDuBSP4emFlAXIvAr59ByRuvI7nyGtV2KcJstrS9X5hOpU3PXc0WceWlAQTyDHoQhBGE7DXY7cy4tS6SCBTr72aNnRFWkV7QZEvWKdbfreTZ8d/glck93M+jjJBlj0rrFe1QdqKK9Vll22ehtcv0Pheh0y2S3/Qy5aUBXYFRfs/dCK6+FmVPPI7kylWqtcYkDt2zYWbtvod/jIPP/x6JezY4demukli0GPFbblNtS94WQfqzl2jur3WPA6efobkvDXoQRhEuts+iE1ns2E1nFCn1yk5aC61bZg9R2oCb+MmWrPDAu99A6UQprpp7LTrn3czlHMp7q5dClF1RUSk0vHx/WaFMZyy0dpnW5+Wg+2gVkcSkXLFUY75lNmVPbEb881/ULFphtYqo15HShbOLo+jNXc1G674XQ6SRYIdQoowEGVvszI/xemfSDsUeJSvW556PYrelJ/c9hk/XLGVe/jn7nuqN8CfX3YnkujtzhIbX7ytLlAMIUiqaHlqf+6GdFjNW/JM015Ce+xHSS5oRX9Ksup9aAxl61RiTG7oRF2QR7UKMHprGZGDa8venDln/LqGNUKLMDuRUtPFDZ5KiZeYhQcYeP9iSHd5JvM1UlJWXBnI6NvkqKgIgMWYAL7dTr1XdFWUQTmth6HxRMonMqaeRLemQnSWhHMgotOxE6fnnY1pgMUaIizBzyuxEycip5MfO/aFiBcYR9QVtFLKjwhSzLZ0QPJHZscpLA7kFPdZGABweaf7dC5rzXQBqp0age1S8lGzfjtJHHym4X/K2iO/WHuNBti3plc4v2b5dtY23vw/s2sn1+IQ7CBEpI0HGH1ZrmrmFU9Eyr5dQJkHGHy9HIqxy9dzrmEbJCq2npZd+58V75xZW26nbbdQr0TIRBuGyF4fOjuBkk+h5CAgGkTn1NBJkJlDaUqFlJ5TwsqXguttRnVV6n/AHrvdASZA5i5UXtdsvaS8gwgvaKvRszcNqPTPRueX4r+C0uWewT1vU6diUPvoIUoCwgizw4nZPzBWRsDoYR4ugi0/O4tArr0HZE4/r7p+8LYL0DTcCcOe5vjK5B+8k3sYJwROZz011Asnnm13njXX/SVoLLc7siIRIeLZXQS8LZxGhA8pb+BRjlIzsyDpW750ItmSUi2r/irkgA/Q7MGWbelSpjBIitNPguttRfcEnMevG61F9wScRXHe725dkGBHunxlEH+Ry+/o0F4fWEWTJNZ2qNGA32kLP+w/iCyOr8Y3/XY8vjKxGz/sPOn4NLJhOpQsuO8EbWvPM37jaO6BUK3cohs5kNl4XXIUgQeYOxWhLLNDq2ChRztEQoZ1qdYIrHvgmAi9u1/mGeFi5j8XeTkVFb3FoLVLXrXa1QM4rk3vw5L7HVNue3PeYI+sf8mA6lS447zUblnZEa575G895XBFe0H7Aq/fR7RFKLUS8pkJ49fmLCN1LY2R3TKSOTXJNp+b+eimObqA3Ou21UWtqq/YRwd/rLh2xcpX6bwHW83sn8bap7V4h09yM9DWrciJkJdu3I/D45pzCH6xIL2nOWeSa8A+uiTIa2XcfGjk9gpcjaX59Jl6CbKkw2Z0VqRx+WqfggEjluvVGp704am3kniqflVvtVATxIyLSOnQ5KXQrVyH548c0Izhu2pFe1VaW1VydRu9+6lWUBdj6+8S99+HgMwPMjkeIgys9URJk4lAsBQsAPmuWud1xIFsSByqio8+sO9aqqsKlFy9BYMeLun+LVq5bGp1WpjDGb+3yRLEPLfK1Va01mKbv2eDUpQmN2/5eSXJDN/Deeyh7YjMAzPz3uOOQ3NCtit647V/OrDobV829VpXCyLqaqxtk21C+irLATOQ/yLDqZXrhIibHIcTCE+EBt52K3zHbmXS7I+mVkskiQrZEOE1w546czopSgEl/i16uO3HvfUhefoWnqi/mQ8vv63Usg8uuFPKZvDq1B+8m9uL44HycUentTr4R5LLs27cj8OtnZEEmoVxWQiQ6592MT9cs9XT1RS2MlMovu/frKH3ml0c23HIbEvfmn4NGFC+Oi7Jiicr4HbeFmVW8nKaYjVlb8uLz8hoULVOTr/x9NiV79yK1/i6h70V6SbPnxVg+8q3BBBdEWb4BuEc++gH6Y0dESVtoFVYf9UWnLs01Cq1FplwvSyRbOrPqbN+IMSWFSuWrBBlmCgQlL7/C136EsI6jColSrcSF7rN5REplIcSBbEmNXmclm/J77kbJ7foVGQn2ZLfVfGswiTSg+urUHpUgA4D+2Ga8OsWvop/b/r68NKAZycxGeobkh5xFa55f6nOXau5rpnomUVyI42U1IKfiLGbvt5svabdfkG5DUTKx8ZIt8Uars6I3Suy1MvN+QNlWC63BJEo7fTex19R2r1MoRU7CyfWyiCNINpRTKv8rd2rub3Sgiig+hM3lok4kQWgjSseIIPKhbKfJDd1ILbsSgV8/AwBIf/YSBH79DMrvuTvne4E3XqfUHheRnlXJG68jc+pprnfytVIYjw/O19xXb7sfKNm+HSXDw5qfTd+xHunPXgIACDy+GdONpwBkQ44ipzE2NyPT3CxXl02uvEa1sLcsnKmPS2jgmCijjqQ38FrRD7fwUqSuGJ+PCJAtqSl9+qkjqVf33I3kyms09/NimXmvk91WlR3LwOObVeJMhHZ6RuXZaAutyplTxqvYh5v+vrw0kHceWfK2CFLr71LtEwQQ93hBiVcm93iuMIhkRzkVTFeuQrqlVTg7IsRDyEgZNVR38UqZ/GKswkhpi97CK7bEG82qfk88juTKVaoKcl4uM+83tErjJzd0u3hFalYf9UWcP/tC31df1JtHJkXHJPGcvY+XC0p8/3+/pxLcV829Fp3zbnbxioyj7es2Y7ohTGmLREGEFGVewowo8FJ0xQw04kOwgGzJP+SUWteZC5NuacXBzs/7psy8l1GV986z5pIb6Yx6A3BnVJ7tWzEG5K9emmlslJ+F3j5eSwU+GE9pFnF5ct9jWDTrApxRebbwvj/92qua28vvuXsmQ0AxuOF23+mDA0lUpKctfz8+yXbdV8KhQh9mRopF79wfjKdU/5z6rtOI/hzcRPSXgoToz5CVLYmOmefg16havqp+6SXNM+k9Huo8+p28pfHh33aqhdv+Xje6kkgU3McLqcDZvrxQERfRfX6he152/0aUbKdiRoQ2xeNZbcKjA+iVTqXIuP3CdBK/dIRYt3svCbRiILhzBwKPb1Z1PApV9SPEQBpAyCcEsp8twRct2wGAYOdNKFsbkfeJ33Kb6nMvpAJr+WwjRVxE9vfpJdrPS4nRtRuJ4oN7L8/rUTInjF9U50Ij/N6lmG1JVHsqBoLrbkfFpz6B4OprUfGpT8idRkCjXPQ37hOynRL6yxgEO2+Sn21w3e2OXlMxDcABudVLEz0P5ewjRV2mU2kk7r0PB5//PQ49/GMcfP73SNyzwcnLNY2en5aKuCjRK+Iiqq8/dM8GxH/3AqbvWK/5uXLQg/pOhBKaU5YHJw1eOlexvXiI4sDpl+fBeEooWzJT8MPteQZWCby4HRUPfFO1LXseklTVzwsYabMitTHWKEvjI5FAsPMm1edeLiRhFKPP15FKgcGg5uaSN14HFi0GMCOcvfA8CtmWmSIuovadMs3NSDU3o2TqkLpgDmUIEHkgUaaBm6MvojkYqh7nPUTq0LttS6LYUTEQyDMPSasTIlI7lbAytxEQx1+zQOnzJREdeHyz5r5eKyTBg573H8ST+x6T/+ZVKVAvpXS68RTm5+KJURszW8RFNH8v2ZFo6/4RYsO1t+3F1EVRwuGiXAehxi2n70VhLEIbFimd0e/pwHoT3L1SBtpOOxGljfEg36LFXigkwZNXJveoBBkwUynwlck9zM+lNy/TS6LYz3aSj0xzM9LXrNIVZF709wQfKFKmoFgdBivcSrsqxvXKREe05yHaKKofKT3/fCRv7dJM1SnZvl01UizKIJwEi/bqx6hZoUWLnRYEovn6dxJv6263k8YY3LlDM7KiGXURzJb0cOK5ec3PK/2ilIJKFDfcRJnXomQiOXoJrzkYwn3IlvQRwZ78PrdMq9OotQjxtCBFCHi0VRHaGQuMLFrsFUFgBSPP8ITgiaa2GyG47nbV3MzsRbu9NC9Twun5+aLYX/baf/n8YumtXTgkiF8k3IMiZRC3EwmI4WBoXhlhFJFtCRDDnvyI0j8oO416ixAHLlvmetoVz7bqh3ZmZNHiYufMqrNx1dxrVSmMV8+9znKUTK9YTvrU04BgUE4Fljr3CYquaCKa/eUMTK1chbIn1PM0RfGLhLu4LsrcHgkWvRMJiOdgCGfxiiD2gi2JQDENcuh17N0uEFHMqVRGKgVOp9IIGpgj6EY0V7QUxs55N+PTNUuZVF/UK5aTXflS5pbbkLj3PsvncwK3npUo9pf6wx9QmT0w9QQVzrFDe3s76uvr0dnZiaamJsRiMezcuRM9PT1Yu3Ytmpqa8n5/48aNaGpqQktLS85ng4ODGBgYQGNjI2KxGACgqyv/unMs4SLKiqXD4SSiOJhCeDHlyiheuP9EYbxiS6ITeHH7TCfi1NOA88/X3EevyIebBSKKNZUKMFcpUCosQeW8C3Nm1dlMSuGbtYtiWJbA6+gJbc19Tz+D45X4h1gshv7+fvT29srbQqEQ+vr6CgqyWCyGSCSCvr6+nM/6+/uxZcsW1WeDg4NobW3FwMAAux+QB1fVk9udd5FG24zgteslnMVNe/Ja2/Ta9YpGcN3tqL7gk5h14/WovuCTqkWilWhVjIvf2lVUnUhR2pqVSoFaC34T/EgvybWXQpjp9DuN223f7fMD+kI7ufIa9d804GGYpqYmDAwMoLu7G93d3ejr68PY2Jhm5CsbpZBTEovFsGbNGmzatEm1vaWlBaOjo7rfY43r6Yt+42A8ieoK/91W0VOuREtpIdjhV5sygoiRZyOLRCsntSuLf6TicaC8HIEXt7sizIo5lcpspUDJ53uxsIRd3HxWhRbtzqbYlyUQnfSSZsRvuU1dvOW2CJLfuA+pz3+J1i+zSEtLiyERpmRwcFD3O1u3bkU4HEYoFMr5bMWKFejp6UFHR4eVSzVFcfZ0wPblfDCezPs3AGadShFe7gShhKctaW33gy2JPsiRj0KLRGtVW0xu6Ebp008hqNge98B8GJa47bt5VAoEaF4ZD5RCOPnG67rLEogcdRbl+bhtdwBm/NwVf5sjwIpxwMNNhoaGdOeH9fX1ob6+XvOzcDiMoaEhxGIxTdHGkqIUZaychV4HMt++Xh7x93JH0qsYvd9uRVPIlooPvZH5P8z7EMc8/wQ+plFtMX3qaTkdS6fnw4jSSXQL1pUCCWfIXmYCANKvvYr0qacJK8hEQwRhll2VliJkztLb25u3YMfOnTuxfPlyzc/C4TAAIBqNFpyzZhfq1VjATAdS67t2O5MiOJh8iJhyRYiLVXtiIc5EtyUR0UrHeeT6Y/H9Y57A5365D1/X+E5g5w7NYzlVbUwUQeZ2ezNbKZAG4pxF715nR1SSeUrhKwvwuCXaRLE3EdHLJCDMEY1GMTg4KP89PDyMtWvXakayotGobhRMwkgUjEQZB+w6CzuCLPsYNNJPsMCrUTIWtiQdh2zJWRL33ofk5Vfg/T89i6/N2ow951QDAN4+sVJz//SixcCmntztNB/GcexUCswe4Zf+DjSeQlEbAcheeLrYUoTz4faACKC/bmNq2ZUzn3vUliYmJlR/V1RUoKKigtv5otEohoaGVHO8hoaGsHDhQuzatStHXPX399sqay8db3R01PIxjOJaT4YiKfYQwcEQhFVYCTIWkC2ZRxqNf+ukSuw5tlrevuecavz4umNw/aMfyNuSt0WQvuFGxF9/Td1hFHg+DE+82t6yR/jTi5cgsONFAEAQzgsAP88r0xO/+dLdtArwUMl8cZhOpVGhMx+37N6vo/SZXwJw1pY+OjCNYHra8vcTkzPfnT9/vmr7+vXrcdddd9m5tLxolbNvampCU1MT1qxZo/q8v78fbW1t3K6FNTS8bALWHUkvjvBTOgshIl60Ja+iHI2/CMDN1x2DB//+BPnzB//+BDRf+y00vp1WdSKl6JrTqVV+7bg7idYIvyTIJEgAsCGf+AVmOuzQ6LDrFeChBYnFQW/dRkmQSXjNlvbu3Yuamhr5b55Rsny0trais7NT/jsWi2F0dFSeE2YVaRHpQimQLKDeNUEQjiJSlIwwh9Zo/PWPfoCz/3hQ/vuao69HwwUrkb5mVc6ofnpJM5IrV3mms0HMUGJwLSyR18zyAkbFb+DF7Tnf1UsFphRhcdBatzH1uUs19/WSLdXU1Kj+aYmy1tZWlJSUWPoniaJCSKJpaGgIwExxDyfK2LOE+dCyX6MovDqSNMLvDdxIN/KrLfHCa7bkxaizXkfhrvi1eHn+uZhfcSLOqjrH4avyHl5LYdQb4c+GBIB1Ai9uR+nmR43tqxH90irA40aKsMiRaRHsTquaZumvfpmzn99saWBggMlxOjs7EQqF0N2dWxxFOfdraGjIVFGOcDiMaDSq+Zk0l8xuxM0I3unBMMCqs6CRffNQBUZ/Q7ZUnOh1FI4/62IcVyde9EvkDqJXmE6lUX54hF+VVrekWRWxSd4WoQioRbILdBRCzw7dShEmzJFTTTPLtop1vq0Rtm7dqrsAtCSqFi1ahMHBQWzZsgU9PeoCU1LUbcOGDdiyZQvq6+vR09ODpqYm3YicdFzelReBIhNlomJ1hF+EUR+CEAmyJb5ojcYnb4vQWjtFQPYIv2YBChqIM41WSrCSbPFbqMOeXtJMHXqPkW1biTxLHhQ7HR0dmlEyYCYaFw6HEQqF0NbWplngIxaLoa6uDmvXrlV93traqnvc4eFhXSHIGhJlBEEQhGGyR+NLzz/f7UvyJF4cCMge4c/+mzCPXkpwck0nUtetzhG/1GH3JypbosENXRYvXqyZmhiLxdDf369ZmdEIy5cvRyQSQTQazUlT7O/v1xVsrPHWhAaCIAjCdQoV7CjZvh2BxzejZHtuQQKCII6gl4ooCTJgpsOuVTiH8C7kI63R1taGnp4euZiHxMUXX4yOjo6C5e+lVMTsNcdCoRA2bdqESCSi2t7f349wOOxYWX2KlBEEQRDMyC7pnby1C8kNzowyEoTXoJTg4oN8pD16enqwceNGbNmyRS57n52OmM3Q0BA2bNggi7JIJIKBgQG0trbKFRrb2toQCoUQiUTQ2NgozzFjVaTECCWZTCZTaKeJiQnU1tbinQ/GVGsRaGG0mpgbRSBELk5gtWqcyFUBnX7GPCf1031WQ7bEBiPP2OjznZiYwAnH1GF8fLygnzZyLCs+v2T7dlR86hM5+8R/94IraVeiF/rwSvqiqL6I1/N147kEXtyO8uE/q9b201o0WvQCWl61uVcm9+CdxNs4IXgizqw6m8u5y0sDeX2kmWdsx99L/v26H7+AYNVsU99Vkpg8gEev/wSTdw4xA0XKCIIgCNuUbN+O0kcf0f7sjdcBmgtDMKa6olR4EWCU9JJmpBXzMyma4hw97z+IJ/c9Jv991dxr0TnvZi7n0lvzr+SN1yk6StCcMoIgCK9ELESlbG0EFZ/6BMo29Wh+bnSdK0JceM6BCby4HWVPbNZcFLkY0VpEuuz+jTT/iAOvTO5RCTIAeHLfY3hlcg+X8+n5QvKRBFBkosxqx4v3grReSrcyiugpFoQ7iGpLhHW0OpBKaH6MNiL7byXlpQFZdAdXXzsjvtdGCn/RIMF1t6P6gk9i1o3Xo/qCTyK47nbD3/VLlCybfNEU0RG5XWtd2zuJtzX31dtul8zhNf+UpD53KZdzEd6jqESZiFAn0hv49eVvFRFfvF6zJaPzdERHr6OYXNOJ+O9eQPIb9zl8RQRLeEZttNboqnjgmxQxSyQ0N1M0hT0nBE80tZ0FyQ3diP/uBaQumRFjpb/6pTzYQQPaxQ3zXoFfG5TXOnyE9yFbIryAXkdRWdLbbV6d2oNnJ57Bq1N8UpL8DM+ojd4aXXrbi4GytREEO2/K2U4RZz6cWXU2rpp7rWrb1XOv41bsQ0npM79U/V12/0YakChyqHdkguqKMqbV47zYOfXL6D7hL7xoS35BSsdRFSUQpANZXVGK7//v99Af2yxvawutwuqjvujiVXkLo3NgrAwi6a3Rpbfd7+ilAid6HkL6hhsBzLyDRR+wE7EAS77sjs55N+PTNUu5V19UojeoEXjjdd31Hwn/41oPmzr39hAxfYwgjCKSiCJbso+UjpN45DGhUhZfmdyjEmQA0B/bTBEzE/CcAyOt0aUkfmuX651StwSFbvQxGHT2QoqQM6vOxl+FPse1HL4SvcGOYh2QIGYoOmVktwPGojNZXVEmVKeU8DZuDXCIYEssj0PYI9PcjPQ1qwCAW5U+s+hN1n83sdfhK1HjtYGAfHNg7JK49z4cfP73OPTwj3Hw+d8jcc8G28f0KlSZr3jQGuxI3hZxdEBi7GAcowes/xs7GHfsWosF6s1YwE4aIxtRJ/YLXfTUCkIcJHuwYk/FYEteYDqVlgcG8q2t5Ebald5k/eOD8x29Dq+SPeCjNQcmtexK26mq6SXNrkfHRCCxaDFKs1OBV66SI2h69znw4vaZtLdTTxPmPoqUwiian5cWBU8tuxKpZVeqFwin/lNRU3SRMoCNgUrRLqMdQz9Exyjl1HmMdmK9Gi07chzjtuEHW/IjIq6tpDWJvy20CmdU8p8zoodoHUSj5Cv4QQNx7FCmAidXXoOyJzbnLEWg9Pd2lhQoBkSzt+zlJUqffgrpa1YJMQeXcB/q2TBAb7SfR8dRNAdDEKzIthfe9kS2xJZ8nXY3Oxyd827GolkX4N3EXhwfnO+qIBOZVyb3qAodGJ0DQ6l17JHspWy1ekAhOzKpt6RA8vIrhIiYiRQtEwG9gSsW0WbCHxStKOPhLPw8ei96lIwcv3vwevGSPXkLkTvtC2vPxRlx98WYqAMBPe8/iCf3PSb/fdXca/Gl//MPqn3yVtn0YaTsYDzlyPPSSz0sNMhRXhpAxgMV/NwUZqLYW+DF7QgM/xklw8Oan7s9cEWIg6u9Hi+UdhUJURwMISZkT8bxii156XnqddqBmcIfmVNPAxYtduvyCB1emdyjEmQA8OS+x7C07iKcVXWOantyQ3fuHBiX8MNAXHDd7apIV/yW25C4974ZwWVgkIOWFNBHFB+f/Yy1EGHgihAD/w3XmkAUo/UTXupEmsUPnQBekC0RQG5pfGQyqvkTs+5Y69q1ud1G3T6/HnoVKvfGtbdLVTYlQeZnn88TvdRDafFgvep8SiEs6pIC2Tjd9kWxNa1nnI3ymZItEVwiZcpqXKLjlZxnUZwM4TxesSeyJWN44VnaIdPcjExzs+78icBly4TrNPLG7TaXD60KlWf/8SDO3fkySs46CgCEiIz5jUCe1EOcfz4AY5HJxL33IXn5FcJVX8zGqfeDSLam94yn71iPTGMj2RSRg+uTNkRIuRK9M+m2k/F7J5JgB9lScaI1cKA3J6Z8+M+Iu9RxdKN9it7mpAqVUgrjzd97B9c/+gGAdYf/HUG5xEExwHNeWb7UQ+mMUul0vc671H/yypIC0r3kZYOi2ZruM/7sJSTGCE2ot30Y0YxZQtTrIsREBAEtapsV4brMPB+3B6vsImrhDyfbgQhtzgid827GDxsewTf/cvVhQaZN9hIHbrVRkQd+jFIo9TC7dDqLhbpFgbVdVFeUCmlr6SWFU1AlvO7vCTZwi5SZSbkSIVoGiDfKL6KTyQe9oAkJsqXiI9vn56vWVw53OyFOtE+vtbkzq85G2XsvFdyPKsWxQy/1MPWHP6BSI/U3feppQDDoi7Q3VjYosp2VlwaEKo5DiI/r6YuiIUpnUmRHQziPV+aVKSFbUuPFKFlg105g6UWWvy9yh4Rn+xSlzZnFSNU+tyOdTsO7NL5W6qHeXKRg503y//shldRqOqPX7EuaZ0sQheDayzPTsRCpw+mmwYsWhhfpuYiACCLDS7jdlt0+v9epvqQVwXW3G95fy+dnV+uTEMG38Ggffm5zeqlXTlIMPtiIOJZSSUWwI7tI/Z5CtiNa/ygfOXNst29H4PHNqvRfCVEG4Qj38b41c8IN4/eKsyHERrSXtFu2JJI9eTFKJqEs0+1HWLUT0dqcFcqH/6y5PbmmE/HfvYDkN+6Tt1lpp4EXt6Psic2+bk8s0JqLpIVeMR0voxRo2f+8Co/5gYFdOxlcGSEa3HtvXo2WSTjhDER1OF7uSBLiUcy25HX00qmMkm+UWAQKtZtXp/bg2Yln8OrUHt3v+wG91MTUdattR8iC625H9QWfxKwbr0f1BZ80FYF1Gzeic4fu2SCv+ZfoeUhzH+l5idh3KmaUz0NvaRDJF1rpOwXX3Y7qS1rtXSQhJDSnzCA8Srn65UXuJsWQyiLhxeI5WvCYy0O2xBcj6VQS2e20bG1EXexDMRdGtHaq5ecf+egH6I9tlv9uC63C6qO+qNrfD5SXBvIWZ7GD3kLJycuvMFXKvZj8PaCei5R843Xmz4Xgj14002rBHMmW4nYvjBAS4USZaC/pbOyKM6+8xGnkTR/eE79ZIbItZd8/P9uT1yPOyjLdZtEbJU4tu1LoDqXUrl6Z3KMSZADQH9uMi+ouwplVZ7txadwxUpzFbDvNt1CyF9bXAtz3+9nPBQACj2+Wn5HI/r6YYb00iN2sBUJsHBFlXqwcVwgvdAYJwiuQPYnJwWcGUGKj+qKRUWKRO5PvJN7W3e4nUZb9fmZdLS7fQsmEMZQLSZc+/ZRm9FlkWyoWJFtSPi+96LOVZ8XSZsYOJFCWtB5zS04lmF0LMYNwkTLCfcwKaHoJOIfZAQ56SbuL1wej0gsXWfpe6g9/mCkakdB+aXulrPoJwRNNbSe0kRZKVqYwmo3AFlvqInDE32enAGfjhehzMaGVsh3/3QtMlgaRFx3PSgcm/IFjPQavF/woFrwkyNx8SRdjB4Hgi1/Es1TQIbj6WgQ7b0J68RLV51pzYUT1+WdWnY2r5l6r2nb13Ot8HSUrhNV2mrj3Phx8/vc49PCPcfD53yNxzwZLx3ETN/y+Vgqw5n6Ho9Ki2lIxUF4a0E3ZBqBaGsSOv0/cex8OPjNg/UIJYRE2UkYj/AShDUXLvEExdo60CjoEdrw4Uz0uGMw7SixqO+2cdzM+XbMU7yTexgnBE0mQ2UBroWQjFPMgWPq1Vw3tJ0WfS7ZvR8Ubr2O68RTPzNfzA3LaosHCHq9M7rHlU6xmMRBiI6woA8R9SfsVipL5F7IlZ/GSLbFEdxJ6MIj0NaucvRiGnFl1tq/EGOEdjMwhkqLPyrS5IID4Lbchce99+b9MMMVIYY8fvvc9PPHho/LfV829Fp3zbuZ+bYT4ODqU65eOB0EA7gpDsiVxKcYImYReB9LoHLJivncsMLM4c7EOHNjFab8vzyFSkLwtIq9hJi3qrZU25/eF30VBaUvSshJKlCnbf5r8o0qQAcCT+x7DK5PaayASxYXQkTKARvidolhe0AfjSc3t1RXCm0IOlMboD/z0TLQKOphdT4naqTWC625XF9LIEyXxkvilrIiZOUTJy69A+fCfVSnASrvSS5vz0rIDXkSz2mKeZSX2xoujoithDcd7olbK49NLmi9eE2T0kiZExUudXV5IHcjAG68jfeppSC9pRrnbF+Vz7CzOrOxMZpqbc/4G3Pf5xOH5eOefr9qmela07IDjSP5eq9pickO35mDUcWXzNY9FFV0JwKVIGQkzcaBOpD3cXlCUomXiYMWW/PoszBR00BIB1E7NYWZxZmU7ze5MphcvQWDHi/LfyVu7cMjFKomiDsC55feV/l5TCGish1V6/vlIky0xRxkh06q2mKmchfRnL1EJs+lUWq7o+uS+x+TtfqvoSljHUzlb9KJ2Hy/ff73URekzL6YwWoHsiD0kyGYIvLhdFSGT0Bs80OpYSmk/wVNPQ2LRYkeu2+sYXZxZKtld8sbrQCKR05lUCjJgpnMZuGwZpb8JxHQqjeDOHZpC4H+2PY4PLn4AJ749hePPupgGOTih9GV6aaPl99wN3HO3HDVT3n8/V3TlzdDQEDZs2IDu7m6Ew2FD3+nt7cXw8DCGhoYwOjqKlpYWdHd3a+47ODiIgYEBNDY2IhaLAQC6uro09+WBa71QK9EygJwLS7wYJRNx5NRr0TKA7IglXrQjHhSa05TdTvVGmJXbSl2O1HgFI4szG1mEWAu35iSJ6OuVuOn39YTAT/5rHX516VzgGGDl0bPxBaifP/l89hQqYiQt7I2sASaq6GqNaDSK/v5+9Pf3591veHgY4XAYkUgEnZ2d6OjoAADEYjG0t7ejrq4OIyMjCIVC8nf6+/uxZcsW9PX1ydsGBwfR2tqKgQFn1oVzNTRAwsw9im1kP1+UzA+QMHMHq4LMb/fdypwmvY6lkrL7NyK47EqKmBlAay6fhN6itkagOUniMd14CoIa298+sVL+/yc+fBQX1i7FWVXnqPbRi2YTxsj2+VK1xXy2lX7t1RxRRlhjx44d6OjoQGNjo+bn+/btAwCEw2H09/djxYoVqohaKBRCX18f6urq0N7eLoutWCyGNWvWYGRkRHW8lpYWRCIR9Pb2ysKOJ8WRr0Wo8Kog4z1yWkwpjBIkzKxDguwIRuc0KQcPjJbJL3njdZQ3N/vyvrFGay5foUVts7+vLKGeHW1zCtGjZBJuRcvSS3KFwCPXH4s951Sr9tsbf1slymbdsVb1HVrHzBx6Pl+qthj49TMzaYtZ0MAGW3p6enQ/i0Qicmrijh070NbWlrNPKBRCR0cHent7EYvFEAqFsHXrVoTDYVXkTGLFihXo6ekpDlFG0TJnoVQrPridwgiQLTkJ2ZEao3OalBgZYQYAJBIIPL6Z5pjZRE8EJ3oeAoJBVfXF9GuvUiRFcA7dswHBw/Mvh08M4Puhb+Xsc/ofYwi8vVl+9lrrmBmp0EkU9vmZ5makmptRMnVILXxdGtjwK4sX678Dent70dnZqfp7aGhIM/Vw4cKFAICdO3eipaUFfX19qK+v1zxuOBzG0NCQLOB44rooA+x1JqXvE4Up1pF9v6cuKiFhxh87gsyv99jInCYJZRvNXs+n9Omn1NUAlzQj2HmT/DfNMTOOkTSr5G0RpG+4UbVfYtFiV1OtvBIlE4HEosUob25GA4CV7+1TLUr8Lw/V4WP/fI38d+qSSzWPQeuYzZAvrdOMz1f6tOnGU+jeMkYr8gXMzDUDoEpVXLRoke5xpCIekhDbuXMnli9frrmvdMxoNIqmpibT12wGIUSZXahDWRivCzKnXtR2UhhFiJYBJMx4QoJMn3xzmrJRpTE2N8tV4pLNzXKHBomESpABNMfMKNntVKq4mFp2per+IhhEyfbttB6ZDdz2+5ItfeG4v8eFtUuxN/42Tv9jTCXIAKD0mV9qfp9S6/SLFOnZUfaC0NlIPo2WInCO7u7unLTGfMU5hoeHAUAWWUaiYEUlyqx2JCWoQ6mP1wWZHYopSqaEhBl7KGWxMGbWJ9Nro1KHJvD4Zs3v0Ryz/GTfU61lBwBoLnbrNqwH3/L5fz/NH5Zs6ayqc3BW1TkIvK1tO6lLLlWJM1rHTL9IEa74W5Xw0lsgWo9i8k8TExOqvysqKlBRUeHY+bPTFo1+x+gcMUmsjY6Omr000wjVy7DbiKnTpKa8NOALQeZ0OosdIeeH1Buyo1zs3hOR7Ekk8t6XREJzc8nwMEq2b6d2qoHWyH6hZQekbak//IH79TlJIT/OcsBONL+vN38wue5OxH/3AhKPPIb4715A8hszRT6K2Zb0ihQpC+Po2VHJ9u3ZXwPgHX+/f2IKEzb+7Z+YAgDMnz8ftbW18r8NG5xNMe/r6zMVwYpEIgiHw7prlbmJcJZIwowNfrkPor3svIQdW7Ij6P0GCTK+aN2fsrWRnNRFifJ77kbFpz6BsrURaqOH0bNXIxUXJfQ6p07B0tcbFVwH40nfZFMo7UiaP6gkeVsEAHTT74rV5+ulbyqFrZ4daW0vRn+/d+9ejI+Py//Wrl3r2Ll7e3tNCbKhoSH09vZiYGDAcNGO7PlnPBHSAlkIs2J0LgCb3+4Xp2Iv4uWPaBnZknXIlpxDeZ+MrqcljVQXa/uUyPf7jS47APhjbpFVkcVCmIng95V2lNzQrYqKIZNBxac+geDqa+VBDYmS7dsReHxzUdqTVKRISfK2iEq06tlR9vZi9fc1NTWqf1qpi62trSgpKbH0TxJFWvT09KC1tdXwtba3t2Pbtm2qgiAiIaz1sWjcxeZcWPxekZyKCC85P0C2ZB6/2ZIXkO6XmeiOtK+X2+crk3vwm9iv8MrkHlPfyx40UHasJfQiJtnb3C7bzcLX2xVWfo2Ypa9ZBSC3HL40qFG2NpIj1optMC5z30bNtE75cx07Ugo38vf5GRgYQCaTsfRPL6IVjUYxNDRkWGC1traip6dHM7IWDoflCo7ZSHPJnBByQs90tVv8AyiewgXUiVTDZuTT+5UYJciWjMGqI+L3+8SL6VQaQRMRG+VItReXSOl5/0E8ue8x+e+r5l6Lznk3F/yekWIeUpVFZcVFZdpa/LJlhipl8kYEQaY8jh8KgGT7e72BjsCvn9GeX7jsSmSam4vK5yurwGqRvXwHCTL3GRwcBGBMLHV2diISiaClpUXz86amJt2InCTWeFdeBASOlEmwGuX366gPqxQr0ZyKH6Jkov0GsqX8kCATg8SixYaiO9kj1RJeaZ+vTO5RCTIAeHLfY3kjZlr2p1eEQBn9KH36KaSvWaUqfZ9e0ozkylWeX0eJdYTLj6nrZtJYAbWI86vP152HqRFxlpAijyTIxGDXrl2G9tu4cSPa29tzBFk0GpWFXWtrq26kbHh4WFfMscYTlsaq0fvJubD6LX50KGyravkjpUWClQAnW9LGj/bkBofu2ZCTTpQ9RyY7xUiJF9rmO4m3DW/P10aNpHsqK8WJ1Ebtihi/+WfWSP5eL/0u/dlLNL+nJeL84vPz/Q6tVE4JLbEmki0VI9FotGCxjv7+fjQ1NWmKKmXq4/LlyzE6OqopzPr7+02X3LeKZ+L0LNKvJLyY5iLB0imK+vtFGm20i2hpjBKs7MmrtsS6c+G13+8FEosWozwrEpYvxSh7YVfR2+YJwRMLbjfSTo1GQUreeJ0W3TaIn1LXgcM2oJN+l7y1S536ejgCrbdQsuh2pUchW9KLOKeWXYnSp5/KSQ8+dI+zZd+JXPQiWxJDQ0Po6elBe3s7ent75e1SmuKWLVvkaFsoFMKmTZsQiUTQ19cn79vf349wOIy2tjb2P0ADz4gygK0wA9RGKqqD4TUyJervFXHk1C/zDLLhMdAhHVdEis2W/IBeG83uMOZb2FXUtnlm1dm4au61qhTGq+deh3PnfFy1n17nWEKKghSqWDndeAqbC2eEKL7+jfif8F5yL44rm49TK85SHd9Pfn86lUa5xqCGcq4UEgkgGETZ9atQ9sTjR/bJWii5ZPt2VCjapEh2pcSMzzc77y5w2TLPp/56nXzzwADg4osvRiwWk1MUs8mei9bW1oZQKIRIJILGxkb52AMDA6wuuSCe8ziS8bPuYIn24uaZJiDC7ysmRBw5lWA90AGIN5JKtuRtsttojgBbuQplT2xWfUdZrECJaIULOufdjE/XLMU7ibdx5p/G0fjfaWRO3S5fdz6xqSS7CEH2yL7b1RWzEUWQPRH7Z/x8/xPy35fPWYmVoc+rzmNFmInq8/X8faa5OafNKCm7f+PMkgnBIAKDv8kRbDjcJkWxLa15l/kGNgDz8+4Cb7wulE0VI8qIlhZjY2Omj9nS0uLY/DEtSjKZTKbQThMTE6itrcU7H4yhpqbGiesyBO/8ZjccTDF3IEV5Uethd9RUxJe0Er+1PT/6h3xMTEzghGPqMD4+bttP8/L5gRe326r4F9y5AxWf+oShfROPPCaXA9dClOdXXhrQrZ6o9Vvjv3shb5U4iZLt25F+7VXXqytqYcfXs4yQrfsgd57Ivcf0qCJmVv2+l/x9yfbthu1Ki/jvXpg5jkb0zK7Nm6G8NGA4iq4l1HL2vS2C1OVXaN6bg8//3lW7suPvJf++YN0vUFpZbfkaUlMHsfvev2HyziFm8FykTAmvqJmEU9EzJybPitIB0UN0QVYM8IiaSZAtEcF1t6PigW/Kf8dvuQ2Je/WLdWiRfu1Vw/sWGvl2Mzsiu0OslR6VqZyl+d2SN14vKMqmU2lg0eKZf4IhgiADgPeSe3W3s0hjFDVaJqHsP5lZG1CLsnu/jtJnfin/LUXPskWOUZvXE3Ja2/NH0a9RRfWAw+u1vfeuZnqmVtn76VQauOU2te8SLPJM+AdPizIJ3uIs37HNvMzdqFxEHUh22J1jIPpLGiBbygfZknUCL25XdWoAoOKBbyJ5+RWmOjdpHaGV3flKrlwldzSVAqZQ8QIl2c/b6Ih/9n4FCwyY7BAXEpvUTo1xXNl8w9v9KswA82sDaqEUZMCRdMfswYaKB74JXPG3su2l/vCHHJvKHryRBFOhVF7NwY0sQaa3XZnuLP2bTqWBw7aUuPc+JC+/Qoh1/Qh/4/36pgrcWG9LKq9q5J/TeOXl7KUomd1zeaWypFvphiLakojr+HmNgN4kepOCJL2kGfFbblNtS94WQfLHm+Vy+dIcs+yy1nrlrvXWJVK2t1l3rEX1BZ/ErBuvn/nvHWs126XWfnpI50Uiob1DctrUvfFCOxUlSgYAp1achcvnrFRtu3zOSlWUrFhILFqca1crVyHxyGNI9DyU97up8/+v5vbAL/9Nc7s0CFG2NpJjK8GdO3IGb8ru34jAjx7WjCaXbN8u21Hg18/kvc5CSNelZ0d+WdePEBtfRMqy4ZmG5QVEfzEr8YpIYYkXRk8BZ6JmouMlW5oU2Jb0Ilx62/OhOWp9uLIcAJStvla1v96ofb40JiX5SmVnR+GM7AfkplmlFy9BYMeLqn3K7/uG5u/XSl/0QjsVSZBJrAx9HktmXaBZfVHrGvwaLQOO2FX58J9zIsnv/89/Yd53HpH/Tq5chXRLKwKDAzlFdiTK/vVpnRMlUHr3XaZSdgM7d2ifIyttUovsQkBahYGAmQi0F+xIQmR/T1jHl6IMKF5h5iWnwkKQuTGXzG+lkgtRjLbkJTsC+A1uTMZTYDF9W4pwsZqXkV7SnPPd6VQaFXoROb1OXZ40Jgm99MJscZSvpHZGkTKpJd4CO17E9O1f0RViSpTpi15rp1bg7eNPrTjLcHTM774/vaQZcWmu1uFtP3zve3hi1cs4e8HpOPHtKXzs3Ctx5ee+NdOOswZAjBw/2HmT+etatBjY1JOzvaAguy2C5DfuQ+rzX1SnLR93XE51UlrDjxABU96F1QvaKZQvLD93KovhxayFlZe13uhSlcMjmV4ZPZUgWypeWLVVJ+ZlTDeegqDGdr1OnRbZYkt3Dpci7bBk+3aUDA9r7lZ+z93y/ydv7UL6rLO1z7tvX8Frkxb29Vo7LcaMCCUi+XujcyOnU2m8MrkHT3z4KABgzznV2HNONX6F/8Dpk3/EOQZTj6fvWI9MYyOQSBgSZNnzQ1OfuxSZs87OiSanG8IIjORfPBiHi4tnLzovFfQQtTppIYrdnvyM6SEfkZyLGfzWqfTaSzkbN5xKvnD/ZDxlSpixGDElWxIDsiVj52DRVrUiXCzRi8hlbrgRyTdeL7jAMpArwvQWZw523oSkND/GwHGl/fTm6OgJx0TPQ0iVlalSNb2EiGmLdvBytMxsBdR3Em9rbt8bfxtnm0g9zpx6mqGCNtIARnLlKpSMjqL0mV+i9Fcz/7IpKMigHfmW/b2g1UkLwdLfT0zEEYhbb8vpeJzZtRAzWOpReV2lSxM5vdYZ8+p1Z+NG2iKP/GsWHQayJXfw6nVn42T78UpbTdx7Hw4+/3scevjHOPj875G4ZwOmU2kcumcDDj7/eyTX5K5NJSFForKLfyQ3dGuKqbL7N2oKsuk71mP6jvXaJwkGZ0qGK8+7chXSN9yYsz1+axfi160uygIDIgoyCSvX5rb96FVADby4XecbwAnBEzW3H1c2H4lFi3Paqxbl99yNik99AoHBAcPXWvbE5oKpiQCQuuTSgvukX3uV/D3hGSwPc/ulcYhurKJfn1lEnkfm1sRZsiVnEP36zOKXdsMDvUpp6SXNiK+6TvM7iZ6HkPzGfbpVGhHUSozUJtPYiPRnL9H+7NTTZtZEWnmNvK3sic0oWxuRhaNSUHoZq22UhY+fjKfy/nMDN23WSgXUM6vOxlVz1fPGrp57Hc6smknBPXTPBhz6l02Gzl/2xGZVm2dBct2dctVV3Qi0zXL/okD+vjiwFYP3avqVHqKkZfml05iNW07FzAvYjTTGmeOQLfG+Dj/hli35oZ3qpTgmrluNYL4KiibTtbTSHpWROK0iI4HLlnFP8XQKNzuRRny+tI/V+cReS2O0WgG1c97N+HTNUryTeBsnBE+UBZlE8vobEH/jdZU9pT53qWbKYbrlr5C44DOWin1kI9kSAHmeZeb112iRZ8LT2PYofnhJa+F0p9KvnUcJVi9oEVNaSJjlh2yJLW6PmPqhneoVHUm/9qrm/iVvvI70Nas0RRYyGU3hBRwpKJC9YLXeeQJvvO6LTqRb88isRMDsijOzuGU/diqgnll1do4YU5JtTwBQrSHK5MGKrPmd6SXNqjRKPbtKXX6Fypayfb1fF3l22+cTzuGdYR4XMdLJy9fZ9HsnsRBuCjKrL2mzL2gSZsYgW7KHKC9nP7RTrYiUXtRguvEUpFNpTN+zAYHLluV0+qRtgdPPkIWXZkGBw9sCDNdt8xNWBRmLdEQn/b5b9sNTtGTbk2Y0etFiQMeOtKpCatlati0Vug6vI4rPJ5yhJJM5XDM0DxMTE6itrcXrez/CnBrtovhef0ETfPCaIFNi9gXNMpWF7InIppAt7Z+YwGnzj8L4+DhqdPy0UYz4fMCf7TSnQt2tXVzmdjl1HqdxOkrGen6YlYiZVd/vR/tRYrT8PqFNPluy4+8l/x6+uR+BimrL15eOH0T0wTYm7xxiBma9SKnx+N3JEMYpthEelnMM/BCJINghqi35sZ06lQLlx1Qrrwsy6Zh+T2V0Cr9FrZykkC2Vv7TLoSshnIR5+qLfnQxhDJadSLde1m6mMc4ci2yJEFeQSfixnTrVmeR9nlcm9+gWaGCNHwSZ8thuFHwiCKCwLc1e/xVUfed+h66GcBIuXsSPL2nCOH4QZMpjkTAj3EJ0QSZB7VQ8et5/EE/ue0z++6q516Jz3s1czuV0O3WipL1Twoxsh1BSMEK280XM/s79mHDoeghn4VYKzSudCYItfhJkdmBZJZJsqTjx2nP32vXyJPDidpQ9sTnvwrw8eWVyj0qQAcCT+x7DK5N7mJ/L7nM36yud9PFOnYtshwCMtYPSP+uvK0d4H671qcnRFBduCzJeWH0xkzAjrOLV530wnvLstbMiuO52VF/wScy68XpUX/BJBNfd7vg1vJN429R2q/hZkFk5px2fX+x2U+wYff6pU4q7Qqvf4b5oEDma4kAEQcZ7joHbkC0VB354zn74DVYIvLhdVVERACoe+KbjEbMTgiea2m6FYhBkVs5Nwowwi5nnPr1oCQ58+VaOV0O4Cf+VXEGOxs+wHhkXUZDZOQfriB/Zkn/xW5TJT7/FKIE3tFOL9Lbz4syqs3HV3GtV266eex2zYh/F+Gydgu5t8WDV5x+4+xsY/dd/53BFhNs4Vi6ISub7D9YvD5EFmR1YV+YiW/Iffu2IFVsRA73Fn91YFLpz3s34dM1S5tUXWbRVL0XJlNdgtPCH5PNfndqDdxN7cXxwPs6oNH7/ycf7H7t2NH3eQkZXQoiE4zVci+0l7VdEEWSszmNUNFldw4ZHyWSyJX/gV0EmUUwdzPSSZsRvuS1nUWi31mo6s+pspqXwi1WQSZjx/71/eRA/3/+E/HdbaBVWH/VFU+cjH+9P/O7zCeu4srAGORpvI5IgY5Xrb0Y0kTAjWFFML+diaau0KHS+4zgnyAqdy6ovNuL/34j/SSXIAKA/thnnz77QVMQMKB67KRaKyecT5nFttcNiGj31CzyciQiCTLkPCTPCCbzyYj6YSGIOy+MVSVt1avFpJ3CrrfKueivtZ8UfF/L/7yX3am5/N7HXtCgDqL/kB7zi8wl3cX0J+mJ5SXsdvwsyq9cgkjAD6KXtBXjZ0sEEn3ZOcyKLF7eKODlZVMmOONPjuLL5mtuPD2pvNwrZjjfh4vMZ+PuD+w8hEC+x/P104pDtayDUmKq+yO+l76+qY36C17NxSpCZxan0Gl5CkWxJXES0JTfPQe1UXESpquvk8Q/Gk8yE46kVZ+HyOStV29pCqyxFybQg2/EGPHy+2XZKeAvTQ0M8RpWOHJuiZqLA0+k7KcisnMtsZMBOxAwgW/I7otqSlXOZbauZTAbpVBLpdBpAJufzWGLmv1VBaqsiMJlg31YPmTzmlMn9WV/zwcmE4fZ4MAlU6uz7d9U34PzyC/Bh6j0cXXocTgqegunEFLPr9Ivt/PnQG/jL9Ls4tvx4nDLrVLcvxxCBQClKy8pQUqIfZfLqABzhLpZ7gzxSsGaOS+F5txG1E+mEIFN+1wlhZuVcxo9LtuQ2otqSnXMaaauZTAaHDoxj6sA4UskECiXIjB/+b54+DsGRTK5eZkLa5HEzJi5E2rXS3CkMkZ4y3hYPAbqd82NRhWPRCACYwruYAhBg3Ma9bDsHUvtxMH0Qs1GBg9iHPwemMLuU5SxWfpSVV2BObQiza0Kq58/L55MgKw5s9QR5dSZnjk0dSqfhnRLhFUGmPAav9u3kuciWnEdkW2J17nzt9cDYh4hPTmDOnNmomXM0ysrLgILSbIaAF3uXHiXNS40BSKdN7m/iWnhetxKjbdFsmw2YmjhiDq/Yz1R6Cu8l0qhGtWr7vOBxqAzwkNqMyGQwnUxi/8Q4Yh99gOlEAvVHH+u7ATjCHWz3Anl3XCkNiz9O5Kd7TZBZwU60DCBb8gOi2xJL9Nrr1MH9iB8cx7x581AbClk+vlc6l16Et6hJ8RRkZsNvNgkYDG2Zba+lHIWZhMg2lEjFESjJvQmBYAkqSwUWZZiJzs6ZMwexWAzvvfceMqUVqKzmE+ETxd8TzsDELfCfxJuiAgYccOKe2p2U6rYgc3qhU6dsiWCLU/dVtBe01vVMTe5HVVWVLUEGzHTUnYqIFAtev6dOCzIz5zR7X80KVyuI/LzLS4KmtotGOpNBTW0tqqqqMDW5n8s5RPP3BH+YjdU4VRGGOpX28UoHkmeVRTNYEWZ2Fz2lgQ5v4KQtifqCVl5XJpNGMj6J2bOr83zDHCJ3LL2AdP+cuoe8omRuCDKz5xZRmAHOtwEjzArMQn3ZXNW2+rK5mBWY5dIVGSP7PlbPrkYyfgiZDNuHKaq/J/jCPFfKqXk4NE/GPE52wN0QZDydmJV2LXo645HzkC2ZxUu25ATSNVYE0kAmg4pK9ulHUkdI5JQsUXCr8+1HQaa8BiOpjOlMxlQbTaWdSWWUEMmOji4/BrNL52A6k0B5SVBYQZavnVZWVgKZNNLJJErL7Uf5vODvCX5w6fE5WyCBOpT5cDoSwsKh8BRksalpze2hynJD5/CrMJs5F9lSPtyIKnrtBT0Zn7GvAMdKBiJ1KkXDK2IMcEaQpfKco9RC+zEqzMzitDAD1PffTVuaFZiFWRBPjBltn5KvS2fSsPvm9Jq/d5PBwUH09fUhFAohFoshFAqhu7tbd9+BgQE0NjYiFosBALq6umzvywNuvT2eazBpn+9Ih4k6ld7tQLohyMyeyw1hBpAtuYVXbcktZvrQ/Dt5onQq3cbtlDSegswq+cRY9j5mxZkRYWY2Wga4I8wkyJZmsNYu2dwvL/t8p9m4cSMGBgYwMDCg2tbe3o6+vj7Vvv39/diyZYtq++DgIFpbW1XfN7svL7i7AHfW0inO+TJu/m6vCzIzgs3Kb2UxP85NWyo2vG5LbpNOOzdfBhBzzgxPRPm9vJ+xmShZKpOR/5nByneMXJeVZ+OkzeghSttyCrd/r8jzhUVkaGgIkUgEPT09qu1dXV0YHBxEf3+/vC0Wi2HNmjXYtGmTat+WlhaMjo6it7fX0r48cWRcxs1G53eB5vbvY/VsRYiQeUWYuT3QQbbE6/z+ezm70clUdrL80rEU8TdZfbY80hbNiiq9Y5g5Dk9hJoI4A9wXLKzJtiO3f5ff/L0TbNiwAU1NTQiHwzmfLV++XCXWtm7dinA4jJBGJeAVK1ZY3pcnjgbL3W6AfuhYivQbWIkxkYp6eEGYWT03S0Rqh1YR6Te4/Tz1OGSzkijgbCdzKj2FidQEptJT8jatjpgIHbJ8iHyddp6nqIKM5/GsPj9RhJmEyG1SC5HtncUA3CGPvnftMjg4qCnIAGDhwoUYHByU/+7r60N9fb3mvuFwGENDQ/K8MTP78sSUKGPRCEQaDc7ulLndMctG1OtzMzomnd8oVuaROSHMvBw100LUtioh6vWxtCWeL2kW7ZW3OPso+SH2Jt7EX6bfxd7Em/go+WHB7+QTbE514kTuPGZj5/mxFmRW0g6NYvS4vErly9chUNQsG1HardcGXNzsO/mBfMJIElVDQ0MAgJ07d+oKOGl7NBo1vS9PTEfKWI70i9KhVKLVeeO/wLLz57QCy2cmqiCz8l2r94RsyR/ntIIItuTWeXh0MqfSUxhL7lNtG0vuU0XMrFBItBnpBIog/OxiVxxYFWSX/X+fxcd7Tsf87xyN3e8PHbkeB+6bUdHHW5gBYoszJTzauh/sB3B/MNsvaKUXZiOJJ6kqI+t9eWKpnJvdanJKnCz5bQcRO3ZOwbrDL7ogUx7DSKl8wHo7JlsqPljak9MvaOl8dtus1MFkVW0ukUnobq8E+zXTtHC6g/h3P12O3e+9hFe/9Aa3Y1oRAlc/tRy7338Jr3xh5hh2ImT/+ne/xre334+v/natvI21IPvx7ofw9Gs/xeoFN+HCky5GqDKEN2NRvPyXl/DUq334x+YIFh7XlPO92FQMD7wwU4K7ftZcvBmL4qKGFlxxxt/qnstKVUYlblZoZIGXRBRL/C7GJiYmVH9XVFSgoqKCy7kWLVqkGy0zI5okATY6Osp0X7tY7sGx7kwCzpX8JowjQgfS7DWwEGTKY3lNmAFkSyIigi2xPD+LNstKnAVLtBdt1dvuB3a/9xKisShiUzGEKkNMj7lvUvuYD7/Ui4tObkFDnXaaDwDsfv8ljBy+rpqKWkPnzRdtWnrSRfL/84iQjcdj+O1b2/Dbt7apttdWhPDo5U9iwbzzkMpkVKXzY1MxXPBoMx67/EksmHdEsP3Dv38Bu97bgXuW3qd7PhbCDPC2OCsWRM+GmNw/iZJy6zaVmT4EAJg/f75q+/r163HXXXfZuTRdIpEIWltbNT/bsWMHAGfEEy9s9dxYjZpKUIdSHLwYHQPYCjLlMc0IM8B8GyZb8i+i2BJrWLZZuxGAykAl6srmqlIY68rmojLgTJTMDV790htMBRkA/OkL+Y8ZHYviopPzH+OVw8cwKsiMkuIYZPnOX/0QI7FhvDk+grrKeiw4tgnXL7gp6/xHhNm1T/8dLj/9SpUgA4Dv/r8fYv53j8ZFJ7fgooYW3fPZFWaAOopJAk0s/DQAZ4S9e/eipqZG/ptXlAyYKVHf0dGBSCSiWiy6v78fra2t6O/v1y3YoUSKtrHe1y5MemwsR/oB6lC6iUgdSBEEmfLYRoUZIEbUTLoOgGzJDUSyJZ6IEjU7quxozA7MQSKTQLAk6GtBJsFCkGWnKOY75nNvbsNN53UUPKYZQWam0qIZkgaOW3Z4EehlZ7QZupepTAZvj4/gube24buf/aHmPlec3oZvvfDNvKIMYCPM5Oui6BkXptJTpvxJsYkxiZqaGpUo06K1tVVVGdEMY2NjqvlePT096O3tVa0d1tLSIhf4MDLvTFSY9dRYj/QD1KF0Cl5FIkQUZKPxuOb2egMjO04KM4BsyYuIaEtOIF1fBYNOoZ0OZmWg0rE5ZF7GylyxkbEoXlIU29DDzLwhI4LMbITMiBhT7ms2JfLhl2Y6gg0h7RTOhrpGPPLyQ4aimCyFGUDRM5Z8lPwwJ/J+VNnROful00A6AxxKpFBazub9Krq/t8LAwADT43V05A4OSaJv0aJFAGaqJurNM5NSHKXKimb25Qlzs+XRmKSqNSJWmPMyvO6p3ZLvTguyQp9ZOZeEnftLtuQdeN5TL72gpxLsrtUrFee8gnQ/rdzT2FQMlz75/wrux16QmRNYZgSZ6jwmvvvyX3ajtiKk+3lDbQMAYNe7Ow0dj1cVQTvPu9gxUs2V1731kr8XjV27dqGpqUmOlDU1NRUsCtLU1GR6X55wGTbnMdIvQSP+9uHZIRdRjAHGRNdoPC5UxAwgWxIdUW3JTTKMO5k0+p/LJU/8FUbGRjA6NYp/XzmA8w5XB4xNxXDVT5fLn/1+9czE96de/SkAYGRsGCOxKJ64cmtOFOfSn/wVRmIjGJsaxa+uHsB5h+dLPfxSL576n355/5U/W4G6yjr5e7+8+jfy8/7rJ/8f3jx8jH+76jfyMZT86KVNGJuKAQBGD+3D+FQM//iJ23IiT0YE2c9f+yn+/tefx1PLf41zjz2v4P6F2PXeEHa/vwsLj1uEBfO0j/fm+AjqZtXnFP+QqD18n0ZiUaTTGQQCxiJhrKNmSsiGzKFXzTWejqOcUyTeq/5eJLZu3aqaZ9ba2qr6W8nw8DBaWlos7csTrubJs5HRiL85eN8vUaNjgPEomJl9rUTMRIuaSZAtmUN0WxIFnqP/ZtlzcA+eGf0V9hzcw/ya3OCZlb/BTU0diB0WNxKhyhD+7arfYNkZf4vYVAwjsSieevWnuOX823DL+bfh+5/7FyyY14RP/mhxzjF/efVvcON5uce88bwO/PLq3+CepRsAAE9csQW/vPo38j/lc/63q/4dN5y3JucYEt964ZtYdnob/rH5Vvxj8634+mc24Ioz2vDxntPx3JtHqh8ajZDtfHcnxuMx7H5/l6H99fiPt57F9168HwBw3bk3IZXJYNmWS/BbxTVJjB0aRe3hOXNa1ykJ1vH4OABzc+acKBlPEbTC6FVtLedUzdUP/t4p+vv7UVdXp7m9vr5elda4fPlyjI6OaqYl9vf3o7Oz09K+POE+ZuJEB4M6ldo4dV/sPl9RBJnZ78Smph1PZyRbcgev2BJrJm3+ZhFSs37w7oO46c+rcffe9bjpz6vxg3cfZH49bnBxw8UAZuZcZd+PtjOXAwAeeqkXt5x/m+p7N53XgZFYFM+O5E66v+jwMY2g92yXnqx/jDufWyuv7aXcf8Gx5+HbL3zz8O8x1l6S6QzWX/gN7Lzpf3DduTcV/oIOJ9fOROj+fsmtcrTt3GPPw8N/8xMs23oJdr//kmr/8XhM9bfe9Y4eOpL+phRm8cwUDqQnEM9oL2zu5KLIJNBySaWBclQiVKqutBcqrUdFySym57LzTp8s0nf06OioPGdMYmhoCJFIJGfeWigUwqZNmxCJRFTb+/v7EQ6H0dbWZmlfnjiWt8QzDUuJsgNRjGlZTnamnRZjAH9BpvyukVRGwNl0RoBsySm8Zks8X9J226zUyeSRnpUvNWvPwT3Y/OFjqm2bP3wMF9YuxdnVZzO/FieQfq+RAhgXa1QArJs109nUi2YZwYpoSKczaAiFMa5x3vPmLcRv33rWkCDLnvt1sk7BDaNcdvqVmttrK0O47LQrcf3P/w67O1/Lewy9VEYl6XQG45mPMJ4+soZSbaAedaW5xSMAvjajRbYwK4Y0x3xitL70GFQH5mA6k0B5SZCpIHOj7+QXOjo6EIvFEIlEEIvFMDo6inA4jF27dmlWXWxra0MoFEIkEkFjY6M8b0yr8IiZfXlh6i07GU+iJOiNDiWQ23D92LF0wzhZjOaLLMiUx+ApzAB7bZJsiS3FZEt2ziOqOANyO1l7429r7rc3/rZnRJmdKIZWhUBpbtjYlLUFVq0KMgD47zziZvRQ4euxWsjDKgvmLcS/vv4U/jw6jFPqGwHMLCotpSYqyRZm9bPmqj6PY0olyABgPD2KqsAcVJToz1PiOdcsH34SaVZtqKJkFokxAenq6jK1f0tLi+E5YWb25YGlt6vdUVPA2Q6lhB86lm4apZsdSBYVFq3AU5gBZEtuUqy2xOq8dsWZEx3N/xM80dR2EWCZSiZFxexiJ6VOa07Vc29uw89e7UdDXSNqK2rxkoE5YWZL10toCbkyg8U3pCqL//2X3Tg5FEZZoCTvPU1lMhibGjv8XfVabUmd4hHTmUReUQY4HzXTQqtdiibURE7DJEFGGMHyW5VV5TY3OpQSeo1chA6mSAbIap6LF6JjesflLcwA/9mSCHYEkC3xQuSURomzqs7GyqOuxRMfHUlhvOao63BW1dkFO3BOdDhF7kQCxqJi+dbjyhZkz725Ddc+/Xe4fsFN+NpnNsjfe+n9IYzERuxerkyhiJr0+W0DX8R/vv0sdq551fBxT65tyCsiJVGWHaUsY1A8QgRxpiRf++VhP6LbixYkxggz2O41sRjpB9ztUGZTyAhY/F4vGJrbHUgeguyjSe1jHlWVX0hJxzdaMh+AK1EzQBxbMvLcyZbMIdpv9UJK4xeOuxkX1i7F3vjbmF9xIs6qMpa26MUOICvMRMae+p8+3HDempztGQ1BdtmWz+K7/++HuGHBkf0LRcDMrlVmhpf/MoSxqTH5e9kRNKmox8ePXSBvO+eYBfjtW7lVGSXePCwuswueVKASNYF6TGTNKSsUJdNCNHGmRTHbD+DtbAjCPZgMZbNc70iUDmU+/G4oLCvAeUGQSZ8VEmbSubwQNQPIlkRABFtyAhYDCjw7mmdVnW1YjBUj0r03m6JopliIVF1RS5Blz2/77vb78Q/NtxoWWVbnmn36xIvwmwvuVR1HKcx2v78LtRUhVTGRZWe048EdD2D3+y9prmU29P5OfOakizWLf4RKjsKs0tlIZhIoKwmiApWm1jLLRvm8RBZoxYJfB98I52AaYGZZMtova/V4Bel+s3QqVtMVnRZkZvYxc07A/HpmEjxsiezJGUSxJac5GE9iMmH/NztZEryYyWTM3WspHW8kdmQdn5FYFCeHGuS/0+lMToRM4s3xEVVKnzIC9vJfdueUmjcqtIZHhw3tp8Xlp7dh838/lHPeZDqDN2NR/OvrT+Hbf/XPqs/PPfY8XHjSRfjp/2zVPObPX3sKX26+FYB2lK8ClaguqUGFYhFiM2uZ6SE9S7Id58lkMphi4PsAEmTFDpeseZaNijqUfGF9b+10IM0KGJaCzOy+ZoWZHXHGErIlfohkS24idfbtQh3M/IzlqVYofabcR7qfo4fGLB2zoS6MBfOa8LNXfypve+7NbbjocNl9SVhIc6qyWb1gDUZiUex+f0glVn68+yH8+LInAcxE3mJTMcyvOSL0YjpVIpPpDNb/9ito/tGZOcLKKB8/9jyMx8fx/R0PqLa/FYvi4s3n4+bFt2iWzP/R3zyJX7z+FHa9N6Ta/uV//wL+Yckt+IwiddFo+iULYSYfiwQad1jfY6/6e4It3Gbis0zDklB2eEROyRIdXp1yL4ux7O+xTmUErKUzAmRLIiOaLbEmFk+ieo6170qdTKupWfJxKEUrh0t/8ldyYYyVT63ARSdfjO9/7l8Qm4ph5VPL5c++9MzncXKoAY9fsQWhyhCu+dkKeTHkO3+7Fk+92o8HP/vPaKgL46+f/H/yfKhVP/s7LD35Yjx4iTpK9MurfoNrfrYCNz/zeTTUhbH05ItVYuKy/++zeHN85hjX/vwqfOaki/C9z84c4x+bb0VtRS3u/O1XcO6xC9AQasR4PIbLT78SJ4fCuPvCb+D6n1+FC066CH+/ZCbS9Ld9l+Ctw9d0479ehZNCDfhp+zNyFO3kUANqK0I499iFlu/llxbfguff2obbBr6IsakxTMRjqKkIoa/tGXz82PNyUhqBmTXMtq16AXc//xU8/WoIR1XNxUgsiqUnX4zLT//bnHMYWccMYGczqmOS/TCBl8C13G8S5B1BsKUkkync0iYmJlBbW4vBl95C9ZwaSyfiWYmNOpWF4RkdsdOBFE2QKTEizCTMiDPAfBEQJWRL7iKqLf3vR6No+0QjxsfHUVNjzU9LSD6//4VhVM+eUWWG2mwqgcqpDzH/pJNQUaEuYMCyo0mdS22cjoyYje4UihoZSVl0eq0yiUJl9I2U2TcizCRY2ovm8cmG8mLUluJTU3j7rTdRMmceSsrM9QPsDGQfPLDfsr+X/HtFazdKys0XmpHITE8hPhBh8s4hZjDVu7MzaspjtF+CRv214Z2m5qQYA5wVZMrjiBQ1A8iW3MBvtmTnPFbbrZ2CBjnHotF/AM6LMPm8FoSRW4JM7ztG1ypTHiffdwp9DhiPmAF8omaq42c9j2K2I8BZW/KCvyfcwXSvzu6LmWeHEsjtPBVTx9KpuUJ2U6t4RccAdoIs+5i8hBngDVsqJjsC/GtLLLDTbnmnZwH+7ly6PUeIhxgD2Asys8czKtCcFmYAf3Emn4fsiAvD06/g/eRezCubj3np0ywfh8RYcWC5N2dnpB/g36GU8LNIc7pggxsdSNaC7C/7tfc5dk7+tmxGmAHm0hlFF2eAdlsjW7KOF8WY1jXYiZoBfDqafupcui3CAHsFKJwWZFZTG/XWKdPbl4UwA8ylMzolzuTzaTw7L9mSCLazdf+/4FeHnpT/bg2uwLJZHaaOIYKvJ5zDVi/ObmcScE6cSXi1c+lWxTwWBQesOhXW6Yp6gkz6jJUwA8xHzQDvDHRIkC2Zg1XxDpFe0ixSGgG+Hc18nTOROpkidCKV2K0G6KQgYzXPzKg4MyLMjBzHbNQMcF6cqc4tkC2JZi/Z7Dn4R5UgA4CBxBacW/5pNJR9zNAxRPL1hDMw6b2xFGeAc51KiXydNCc7mSKVKnezA8kjXTGfIFPuY0SYAcbnmQHORs0AsqVC1+E0fhRj2cjt1mKzdaujaaRjx7qzKXJnklVZdhaCjHd0rNAxjQgzIL/w4pHOKKF8Vm4ItGxEbtdOIvn7D9LvaH7+QfodNCC/KBPZ1xN8YdpjY9GhBJwf8c+HSJ073rAsw807OgawFWTKfQsJM+ncvKNmANmSlykGMZbN/ngSQVjvnInW0QT83dlkuTYWYHxNLhaCjHcVRpZRMx7pjErcjJ4RM2szHkqkgNQRn39M4ATNffW2A97y9QQfuCwebWexXCXSYnqirNnjV1jeY6vPfjQe5zJ/zIwgU36P1TVImP19EmRL3oLlfWb17O0wZqHNAjNCxmgHXfcY6Qxz0cCaeGYKB9ITiGem3L4Uw0j3lQSZMVhcj9HrZWUzotuNH5Dvtc4zayj7GFqDK1TbWoN/p5m6KIKvJ8SA6/A5q9F+wN2ULD/CunNux6G4HR3L932W6YyAtagZQLYkMiLZEg+stlnAfgQAEDcKMJb6EOPpUfnv2kA96kqPdvGKtOHdQTcjJLwmyLLPaSciZiRiBrCxGUDMqLPXMWtLy2Z14NzyT+OD9Ds4JnBCjiCzk1E0aXHAjBAbUz2ysXhcXkjUDCw7lAB1Kq3CI0rilBgDnBNk2cfikc4ImF9wGiBbEgURbYnnS9pOmwXYijPA/U5mPDOlEmQAMJ4eRVVgDipKrC/GygKnoiRmozp2BZlZMTadMrZ/eanxtmRXeBkVZoD1uWZaZLcJt+3HC7Cyo4ayj2nOIXNiigfhPUz3wkTqUALUqcwHz1Q1EcUYwFaQKY/JWpgBZEtewi+2ZBcRxBngvkCbziR0tzstypxOVbOSYuekIDMqxrT2NyLQWAgzwFj5fVb2kg2JNDVO2ZCXfD3hDpZ7XnZSWnh0KIHcjlOxdSydmC/ktFNhGR378ID+PkfPzt8WeaUzAmRLIuJHW2KJKOIMcKeDWV4SNLWdJW7NF+IhxozsY+QYZoVYoeMUEmcsImJmo2YAe3EmUSwizS3b8bKvJ5zFVk/L7ouZV4dSQqtj5afOpVNFG1jMcXE7OpZPkCk/NyLORIuaAWRLdvGzLfFEJHEm4UQHs6KkErWB+pw5ZayjZG4XbLBTeMJrgiz7mKIJM4C/OJPQa3deEGtu24wSu/5eJF9POAOTXhWrDiXAr1Mp4dXOpRtV89zqQDotyLL3ZSnMAPNRM4BsiSfFZEtOIV3b0eXWCvry7GxqddJYdC7rSo9GVWAOpjMJlJcEmQgyETqUdisAAmoxNY0ppDCNUpSjHJWa+xQ6hh48BFn2sfOJs0KpiEYLhBTaJxvlM+It0JTka59OCDYR7KMQfvf1BF+Y9qDsdigB/iP+WhTqpDnR0RSlVDmrym8iiDHAnCBTfodVOiPgjjgDyJbcxk1bcovxRAJ1ZdY7Tm5HApQY6WRWlFSaFmMidixZCDEgV0gdwD4cxJj8dzXqMBtzbQsynmJM61wiRs0knLKZQojYrp0ijQz2x5NI2RSmXvL1BB+49JBYdigBZzuVWojSyeOJV8QYwD46pvf9QsJMuhYjwgwwn9IIkC15ET+JsdFD06iabf57yXQGAYudTMC9SIASv3YyWQkwJVoiahpTKkEGAAcxhrJMFcqgL2RFEmTZ5ywUNWMhzABzUTMJEWymmJDuN4vF5a34+tFDYi2dQrCB67A1iw4lIFan0k+wXA/JagdSlOhYvuO4HTUDyJZERwRb4vWSttpmAXudTAlRIgFehYcIU6InolLQbo8pTOuKMpaCLJVOG9qvNGA85bZQ1IxVSXyrUTMJEmh8YG1LTvSbCG9hSpSNHprGZMCd0X6J7M4PdSyNw2NRWqecitOCLPuYPKJmgHviDCBbsoOXbckqoogzgDqa+eAtwiQKCahSaLcTve35jsdDjGntb0SgOSnMAHs2A+S2B7IdY/C0I2F8/cRHQJmNvkTS/WwOv2EpUiZCh1KCRv7zI1LnEXBXjI0eyH/d9bP12yWPqBlAtuQlvG5LrGAhzgASaKxwSoQB5tYLK0clqlGnSmGclQmhLJMbJbMryMwKsULHKSTOWAgzwJgNsBJnEiTScnHChrzo6wnnsZW+aGWODKBunLw6lUBxdix5dBwlRBRjABtBJu2TT5hJ52IdNQPIlkTEL7bECzviDOATCSiGDqaTIkzCjBhTUpmuR1lJlVx9MVuQsUhX1BJkx7X9DcrfehOBsTG8+9N/Q+LcBaau24g4KzTPzGjlRaPtn7U4kygWkeaG3QD+8PWEc9ieU2b3xcxjxF9Cq1Plp84lz06jhN1iA1acCutURSOCTLkvS2EG8I+aSZAtWccJWwL8+YIWRZwB/uxgutWZNCLEZl9zFcpefgmxP76q+92yTKXmHDJeggwA3uv/BUIPfhtzv3ZnwWMUOr5IUTNp/5n7vhsH/vRq4S+YRK+98bSlwEtDKH94E0pGxxDY/RIyoVpM37gGyRvX6H8pFkPwm90AgEz9XARGhpG46GIkr/jbvN+pvH/mO+n6uQhEo0heXOA7FnCj30T4A2aFPlh1KAE+nUoJvc6XyB1MpzqMSkQWYwC76Fi+77FIZwTcE2cA2VI2xWJLbvDR5DRmlaQwv8ra93lEAtzoYNrBLQEG5Iqkih89hOmlFyHdENb9TtnLL6F0ZAQlsRgyoZDmcYycK5tCgsxIuuLkBUsxt+BehTEaNbMjzIzuIyHd99ToGDKhEPPomRaF2qZVmyp7eBMAIP79fz5yrGe3oXLl3yH4wP3Y/18vAIfblkwshtn/9xOYfPxJpM87T95c+aUvoGzXTkzdsyH3RFa+Y4LxRAKJEntptF7x9QQ/mFdftNuhBJzrVCox2llj2eF0o4OYDxYluEUQY4B1QZZ9DFZRM8BaSqOE6AJNCdmSe7YkCqmM9QpyrOad5YNXB5PFuZ2iYKGOkSiml16Ud5/YH1+VBZnRFEcnBJnmebOOW1Zg7TGt8zohzIDC7V553818jydW2nXJSBSZWAyJf7oVUHw/tfQiJH/575jzf5tRdc1VmPy3Z1Tfq7rmKiSvuEIlrgBg6vs/RM3xx2D6ohakLrrY9ncKkUxnkExnbJfF97KvJ9jCrSQ+iw4l4E6nMh+idf7swmotJKtORZToWL7jGRFmAJ+omYRXBzvyQbakjVVb+uAA+zXgPjiQREXaWpsF7HcW3epsiiKcWGJ2Xlj5c89i6oabCu43XVMLOCDIzFdVzMj/zRZkgFqkGRVoLIQZULg9GxFwmezoEZwZ0GBJxcObMHVrRPOz9HnnYfqii1H+7LYZ8XY4YlsyEkX5s9sw8eAPNL+XuLINFd+6H5MKgWXlO1pYnVuph51+U3zS/2t+FiOmRJn0gnajQwmI16n0IqwXpBVFjAEGi3ns196nfo5+ezKSzgh4R5wBZEss8KIt2cFqmwXYiTM7xygm7HYeAyNRlO1+idk5nIqOKYVWadZnmdI4UJIEMmUoSVXofq+QQCuUzshioWlpH4CNzdg5Dk/Knn0WNT96GBOvvJ6bogggvWAB8Ow2lO5+CcnDoqzicLpjRietNh0Oo+JHDwGxmHxMK98B2IswCdF9PeEeliJlbncogdwOEXUs9RGl8wiYdyqsBJmeGFN+nk+YSecoJMwA8ymNANmSV/CyLbHCTXGmPIbd4/gJlp3HklgMNZd9jtl5nBBkWpEwJemKGDLlE/LfJdM1CMRDeY9lRJzxTmeU9gPst3UR7SZdX4/S3S8hMDKSk1aoR2D3bs0ooXzMhgYAQOnQLjkd0eh3SnbtxPRScymMRvGiryecx1b6ot0OJcCmUwlQx1IJ646jhBfFGFBYkGXv53TUDCBbEhU/2BIvWIgzgASaFZLpDCp+9BBKxmMAgODoKEpiMRz6p1vzFuYIjEQx61v3qzqoqYYw4ofTFCt+9BCCP/spMrUzn89ZdTXSdXWQ7nLs57+Svxe6/HMoHRlBIDaGsX99BskFM53q2V9dh4qnn0LZmyNI14aQPLkBH/7H71XXUX/d1Zj1858BAOLnLsB7z858Hnz5JVT/7KeYbmhAYHwcpSPDmLj2Rt2S9oXEGABkAgmVIAOATPkEgrteR83PfoHpkxtQOj6O8rdGEFt1A+IfXyAfWxJmcx77EUrHx2fu4dgoAuMxxG7+JyRPblAJs8B4DEevvgZlb42g/M0RvLlvErP/8zmUv/wSykZGZu7hd76PklgM9devRNmbIwiMjWH0+ZnfX3H4npSORFH65gjGH/1Jzryxuss/h9I3R1AyNoaJf/s1Uofve0kshtmrrpI/G//PP8zc06efmjlmNIrAmyM4sPlJJDUESlmgBCUjUVQ8vEmuTJi4cQ3S552H4LfuR6Y2hPKf/RSHHvyBHHEq+9lPUfXFz+PAL//dsKhSMvlvz6hSE7MJHL5n0m+UtqXr6nWPKbXdwMgIUhrf0RokKKmpPXK+pWZ/RX784OsJ52Ayp8zOy5lHpxLQ7kz5sXPJq9MoYXcCqptiDDAuyLK/wzJqBvAXZwDZkl38ZktOobyuk2vylw/XgkckgMXxRCL7t1V++37EV9+kElflz21D3Tkfw8QvfqU52h/82VOo+upXMPGvv1IJt5JYDJXfvh9T/3gr4jfchPgNNyGwbRB1l1+K2KNPIKXTYY79/Feo+s4DmPPVdartB752L2J33YNjF5yJdG0oR5ABwOijP8FRF56P8S/fhsnLrgAAzH70Ycx59GFZoKXSaQTGYzih5dPYd+fXcPDwfvI9MSDIZn5gKmdT6EdbUf/Qz/DWb/5L3hYYj+Gkv7oAH97xNRz4m2XyOeq//20cuP4GpA939gFg1n88h5MWn4N3+3+BQxfO9OJLAwGka0P4y1P/hrq77kDtg99C5W+fRXpiHAf+4RaEvvwlVP/4YcS+831kQiHse/qXqFm/DnO++y1gZAQV/70bk1++RT7H7K+uQ/0F52Pff/+P6trHdO57JhTC/l88g6o7v4JZ334ApW+OoHT3S5j6x1vlfaru/ApqP/2JnCUMACDw05+i6qtfwfh/viC3q9CnPoF0fb1caEMaBJAo27UTJbEYSod2WRJlgH5KIQCU/+wppBacp9onMDaK9MkNut9Jhupmjhsbk+2m5PB39KK2kmDL/n1W8auvF41YLIZIJIJQKITu7m7d/QYHBzEwMIDGxkbEYjEAQFdXl+a+/f39GBgYUG3r7u5GSGMgw8xxjcK00IedDiXANiVLC71Ol+gdTN6dxWxYVALiJcYAttGxQt9nETUDnBVnANlSPpy0JzdsyU0+OjiN9CxrqXSso16q4+14EYE/v4GSU09DaskS28fmiZEUweo71yEwOorJr39D3ja99GIkF5yHym/dnyPKAiNRzFl1FfZvfjInklbxyEOovnMdDl12hSzAggavNfEZdXVG5bXv//ItqPvyl1RVAoEj6YqJBU2yIAu+/BKO+qeb8c6uP6nSFdO1IYzd/I84+p9ulkWZYTEmkVHPLqvc/QqO//u7Mbxjp2p7ujaE0S99GfNuvRl/PizKAODoe76KwNgoPrrz63Lk7NCFSxH/+AKEHvyWLMqU6YyHPnMRah/8Fmb99lmM3XUPkMpg31e/jkPLrlSd89AVbZjz3W+h+pGHMProTwBFSuOh1Tei+jsPIPjcNiSynqd031OHq/8p7SX+t+2Y9e0HUPHwQzjw+JOq703dcBNmffsBlD+3TdVGSmIxzFl1FQ587weqZ3Xw6/ei5m8+h/TwMNINYSQl0Xj4OR/42jcQv3FNXmFlleC37gcATP7gX1TtqiQWQwb6diI97cDoqLwtEIvByKxE5XfMMjaVxCEbBYK85OfdJhKJIBqNYvHixRgcHERLS4vuvv39/diyZQv6+vrkbYODg2htbc0RX5FIBK2trejp6ZG3RaNRXHzxxdi2bZtKmJk5rhnMD2sa4C/7p201sI8mp+V/TjAajxv659a5nYDFPZeeu9kiHmaiY04IMrPHMnpdgDnxCbC1JSfsSXRbcsKe3LKlj0y2LZ7HlDqLVkna/L6SqjvXoXbppzFnzQ2Y/ZlPIbjuK/Lxlf+cRusajF5HqqEBJYdHZlXHPK8JpW+O5GyvunMd0qEQEldcmXPudAZIh0J5U8IKXo/GtU9efyMAoPrRh+VtkiALvvwSDn3miCiY+49fxKELL0L8xJNyjn3w8itROh5D9b/+zLwgA5BJlgHxOfLfx31pPQ5c+CnEjz8VqZS6q77/splzzf7F0/K2xEkNKJ2YSV1Unn9qwXkof+tN1fez579NNxyJ6KRrQzjwae3cuCmFQJLu45HozXihn6jZdqY1KglmpGPG1Mcsf+7ZmeM0LVQf4/B1SSmQWkyf1KDblq3+ywwNYdYdX8H+zU/qpq66jXStqQyQsrE8mdV3PA9/7xW6u7vR19eHrq4uzQiWRCwWw5o1a7Bp0ybV9paWFoyOjqK3t1feNjQ0JH+mJBwOY9OmTViz5shC5maOaxZTkbKPDkzj/5hYGFTZ0OyO+EvwGvk3gtMRK96w6qRbcShmxQkrMTYxMaW5vaamsuBx3UppBNjYEsAvxdEsZEvaOGFLVo9vpr1K2I1+2f1+2Y4XMevb96u2zfr2/UhcdjmSi9URMzeEWT6mMYUUplGKcpRD7Z+00s8kSsbGcraV7n4J0+c1af7GyS/fokqbM0OqwD07eP2NmPOt+3HgH25RFfSo/tlPZyJIh6l4eTfGr12teQwpbbB8aBdw6bLC13S4h5xWCqSpWmB6FlCaxKzdr2Bs5fU5+wMADp+rcvcuOYVxZPt/q46vnGsW0LjXSmGWWNCU87lWAZBUVjpeMp0BpHlOY8ajN8l0Ro5ipRtyU/ykKFiJzjEztbWa2+1EkKwgRe2kQQQl6VDIUJphuv7IIIOV72TD2j9YHWzl7e/9xNatWxEOhzWF24oVK9DT04OOjg4AM1GuxYsXax6nqalJFm1mj2sW0+mLVl/QdtOxJETpVHoR1pESJ5wKq7ljemJM+Xk+YSadw4gwA/ikNEqQLbmPF23JLnbEGeBOWfzAn9/Q375Y3DTGA9iHgzjS4a9GHWZjbs5+5c9tQ/CpnyIVDiNTG0LZSzMdh5z5dW+OyIU4WCAdv1BLOHj9jaj+8cMo3bYN04dT7gLjMaQUnd/gyzOl98vfehNzHvtRzjHS6Qze/+Z3MXVursBRkh31yt0hiMrdr8yc6+03EXr8Ec3d3u3+DhLnLczZXvX8c5jzi59h+qQGpGprUZFnyQBpMWHlPDQlctl8af/D86A0L9uiFpiurTNsM9Ii4WW7dyOhSEUsPfwbtaJuvJh9zVWYOjy3UYtMnf69Ao6I2Izi3lv5Do9BGjtZLyTGzNPX14d6HaEdDocxNDSEWCwmi6uenh60tbXl7BuNRhEOH7ELs8c1g+U5ZXY7lADbTiVAHctseKSrOdV5ZFnIo5Agy96PVdQMcEacAWRLvBHJlgB3X9DKc9uJnrGouljoGOlTTjW1XQSmMaUSZABwEGOoQLUcMSt/bhtmr7oa8dU3YuLue+UISOClIVRqpC8C0ExrNEMyncmZH1aIyXMWYPrkBtR+71uYOizKqp7+KQ5cd4O8z/ScGgBA/OMLsP/aG1TfN5KuWFCMKfc9HH2aOudcxK7Rjswd2TmN0tIAqp5/DsevuRaxa67Hh3d8TRZalf+9Oyd9MZvp2lrka6FGO/6sl5JIZ819yoRCmFp9I2Y9sFEVnZp1/0bEl13JrUx8NlV3fgXJhQtVxUmySZ3cIA8+aCGlZiojhfm+k0xnUDoWAwBMn3QyiTEfsXPnTixfvlzzM0lkRaNRNDU1oa2tDZFIBO3t7di0aZNKUHV3dyMSObLIuZnjmsX2nDIzc4KysTtfJpvs+TNOzUkTBV6/3cr8Fgmz7cPMvDEj0TGjgiz7e0bObwSj4hIgWxIJkW1JpJe0nethMZ+r0Hys5OIlOJTVwTv0T7fmpC6KRAra91PaHtg2iJq/+RwO3H2PSpDlY3rBeZZEWTKjnq806+mfGvredCojR4PG//6fMOs/nkXgcPpY+chMqfxUOo1UOo3k4dS98qzrKyTIUqm0KUEGzMx/AoBgATElUfncNsxffhk+vONufHTn1zUjXwWv08g6aybEGSvRkDOPKxTC1A03ofrmL6Dy2/ej+uYvILlwYU6xEF5U/OghpBrCmoJMOX8yteA8BDTmU0oE3owCgEpITp878x29OZySbWQXVLGDHV8P2POtTjMxMaH6FxdkeoKRaFU0OtNewuEwuru70d/fj4aGBgwODgIAent70draqpprZua4ZmFWfdHO6CnLEf9s9DpUXo4EONFBttvB5xUZA9hGxwp93+moGUC25CR+tCU3kK5xutzajHeeZfEnv34vEpddjsCf30D6lFOFFmQAUKqXFJgpQzKTQeg7DwAADq3OTe/KnuNU9Z0HMPnlW5D4zEWo/s4DeSNdwee2YfLCmWhWqUa/X6uwSDZaC0EfuO5GHPVPN2P2oz/C1IVLcegzF+UIlQN/swwVf3xZ/ltL6FQ9/xwmLzhc6dBGZYWJSy9H5Z6X8+5T/fxzOHjBUsz94XcAAKNXX4/SrH1KFfdaKp0/8Q//pHk86ffaWWxafTz20Zx0ZibdFIcLtEgwLdGtQ/BnM4VEtFIWAyPRmbTKwxE8qbpk6e6XkFpwXo7Nl+7ahfjSi1Tbp65sQ/V3HkDZ7pc003jLh2a+YxfP+frJGFBqtNaqBqkEAGD+/PmqzevXr8ddd91l/bgOIImqUcV8ya6uLoTDYbS3t6O1tRXhcBgDAwOq1EUrxzUDF3uzM/cgu1Gz7lhK5OuMidDJdCMywSLS4nUxpnU8I3PNAPbiDCBbsotbET43bGnsoBijk6n04WIIFr7Lqyx+cuFiYOHMJG4nOplWSaYzKEEFZpWEcKgkJm+flQmhLDPjh0pHRuToUjZlu1/SjCIc+Nq9mPXjhzF7/Trs/+4PVOcDgKofP4y4ory9dPyyN0fkIhTK/9e6bi1BJrH/uhtQ+537UTK6D6Nf/XrO5x9++/toOOUEBJ97VhZeSmb/4mlMn3SyJTGWSmWQUlzb3vu+i7POORmVv30OU5/JPdecf5s5FwAE334TicP/L527tHRGWFX88WWUZhWPUBYB0bwWRdl8LeS5ZibEGasBjbKXtefIFYrMlY5EkWoIWz5/6e6XUDI2Kguy7PPNenYb4p+5SBaiyY8vQHzpRSjv75MX+lZS+fRTGPv5L9W/YcF5iC+9CJVP9eOAhijT+o4RkukMUukM0pkMPjo4DeRId2Moff3BimFMlb+Pyul5qI43Wjqe0+zduxc1NTXy3xUeWBpHj1AohK6uLgwNDckl7vv6+iylIlrB1Ptp7GAcx1bNNry/3YnhAN+Rfz2KKVXLjc4jwF6MAYUF2fi4/nFqa/WdiJGoGWCsEAjgvDiTIFviixdsySxjB+MoT5ebaqsSyk660U6mEladTb3jauHEgtNG0s+qMnMRRLVcfVESZABw6IabMOer63JG/Wc98hDGH/sJ5l5wvhzVUoqoj57+FY66/HM49JmLMHX5kXlDUuqWct/UyQ1InHseZj39lCzWKv7jWRz4B3WVxvQ+Y6PB+6+7EXMe/ZFu2f10bQh7t/4rjl9zLfb2/ULV2a74790ojY1i/HOXGToXMCPEsC+3MqJ0rugTT+Okz1+H6JM/x9Q5R85V/crLKI2NYf9fLwMAjF2zGsfeux6Vf9wt75dKpVH/kx/j3U2P4eS/+rSclpk4nBqZTGXkbYGxsZyUR6UwkyKb2RHOacUxtAjEcn+bnIp3eIReq2pjvmhnYGwMs7+6DlNXzhQ6kCox6i0eDswscF39nQcw8d3va0ZuC1E6EsXsa65CYulFmHXzFzSvKfjbZ/Hh2++rto8/+hPUX3A+pq5sU9nAnH/4Ig5++RbNNEQr38mG5XwzLV//Tv0W/KXuiDg8duxSnDC6Ime/0QNxTB8SYxAOAGpqalSizAtIiz0rC3ZEIhEsXrxYXoi6t7cXnZ2dWLhwIQYGBvKuh5bvuGYwPWhop0MJeK9T6TdYzjtyogPJKjqWT5ApPy8kzlhFzQBxbAkge7KC12zJDlbaqhKzEQAlrKNnRs/lNmWZSpQh199MfvkWZGprMXv9OiTPPW9mzbLxccQvn1n8ef/X7kXtdVdj6jMXzYgo6TctOA/vv/w/qL3rDlQ+9yySDQ1yRGwyK2UNAD76+a9Qf/1KhL78JSQbGhC/8EgkbTqVwbFX/jXK3poRdEffcA2mLlyKfd/6vuZvOXTOuYh/fAEmdMreJ1MZJC9YiuiLf8TR93x15hyHqxxOn9SA0auvL3i/lNGwk69ehuDbbwIATvz89UiceDLe/MnT8ucHP/0ZvPpfL2PehrsAzAiqVE0tEieejH1XHUlV3PeFLyNVU4tj7l2PqXPOldcsm7j0ckyf1IAP7/gajl9zLSYvWIrRL/0jAuMxHL/mWlQejjod334Zpk86GbGb/0leZBoAMmOjOPbGVXKhkLm33IzkSQ348JHHka4N4ejVKxH8790AgJr1d2DW008h9p3vI3VyA+YuuxRlh4V0/fUrEf/MRYh95/soicVQf/1K+bM5//AlJE9uwMRjP0EmFELttVej7HA1xdnr70DF009h/3e+L4uuie/9EHMvOB/Vh9NjlUwvOA8T3/thTupfqqEB6VAI0xrVKo0Qunzmt5Q98rDuPlpR4UwohNHn/4DZ69chUxtCur4epSNRJJZejHjWAt12vsPDH+j5+oMVwypBBgB/qfsl6g4ukiNmTvp81rS2tsrztMwyNjZmqZKhGaS1xZTVFzs6OtDS0oLW1la0t7djZGSE+3WUZDKFlyCfmJhAbW0tLvvBf6B8ljpSZvUlDdjrVGpBHctcWK8SbzXnmYcYA+xFx/TIJ8wkCokzCSPiTLW/RXsiW+KP6LY0fegA/vWLF2J8fNz2qGU+ny+h1VZD5WlcdkIGx51wIkqD+m3ZijjLxomolpfgLSjzpSfqYajIRZ7jGklXTFmtGW+AUgPtVEpn1CNfOiOQf55ZNnbtRs9mKp5+amZO4ZdvUUXGSmIxlL45glmPPISqRx5G7LGf6AoYr2PVfpKJON7d+xZ++1E5DqS00xeN+Pp9s/8Lbx7bk7P9qLdvwJyx83O22/H3kn+vOGcNSmzMKcukEoj/cROTd45VFi5ciEWLFqGnJ/feNTY2oqmpCX19fTmfSamJu3btQlNTExobGzE8PKx5jlgshoaGBmzatAltbW2mjmsW2+n1yg6C2Q4li5QsJcU++s+60yhhZ/KpW2IMsCbIlN9jldIIGBdnViMSZEts8YMt8cZO9MxuaiOgXdSjWHAqomdFiAH2xRjgviBTHj+fOEsdLp2vh5F5ZoAxcWYn4gxot5uKt0ZQ8/dfyEkRBGaiS8kF52H/d3+AxNL/f3vn8htJccfx77TH49faHtgHhoBYvJdI5IFWkXKLCIsjJHLggOAaKVLOOa2FEgUhJYflTwiJUM6sIpFIUSQTUDjkQpZDFIISBaONloXdtdf2zHjG8+juHGZ73DPTj6quX1VX9/w+Elo8U13d3q1v9e9bv3pcwZlf/KzQpsxkJly2r1/sb0R+Pt99hOJxZpLLly+PphNOEuyOGJRJyoDV63W89tprU9ek1ZsF0jXPqgFlgK7AMqAMAaauoDFAdRegIpqxqHrSsma2mrMA1lI6ZdOSacLPV39Ivj1QGDTA7DRH09huwgJEzBigbsh0m7Go+6UZMyA+axb8viqbgIRRNWdh5j54H71nLqfqZ/DtZ0ZTI20l7+nHKn39SvcSHjl4cWwK4/qdF7DYFt/5jxlna2trtD5sks8++2y0Rqxer8earDDBLoyi9WZBy0ZUKtkzgG7dTBxpQZgNgabuQDGKPIJHSjMGpBuy40Y78vOVteXE+kTMmciUxqzmDGAtZWVWtHTQ6indk4LDdg+eX4Xre5n2IaMKNqOCs6IYtSyB5aDShYceHNRQ9cX7CVUTFmC7GfMins+RmDYYvrctWTOARi/dZ5/D+us/H/ssqg3WPnh/dAC4SfI2WmkMXB+uBxy0B8h69G/Q3y+3XsKje99Cf+EO5ruPsCFT5JVXXsH29jZ2d3entrW/fv36mLHa3NzEe++9F2uodnZ2RtMVZeqVRW73xVYP1YHYDnMBqgvEdQeVUeQRxOUB1ZkYOs0YQJMdizNj4e/jjFm4foopjYC8OQNYSzZTFC2ZRDbADEOVPQsTF9zladYoAs4T5z66zuHo5wWvjkUveucvKhMWIGrGALOGLMqEiZQRMWoiWTMVYwZkN2eAvF7ci0/h6I1f4uxLL442E5lk8d3fY+Xt32Lv3T/Bt9wk6YZKQ3F9/WJ7M9WM3W92MTjJfxDOBg4PD2PPBKvX63jrrbewvb09tv7r+vXr2NzcHNvU45133sGVK1dw7dq1qYOit7e3sb29PZriKFOvLJkyZSoBJUATVALmAssykWfwCJg3Y0C6IZssl2bOqKY0AqylIlMkLWUlGIgD5DetCQgH7rYYtDAixiiLcTMxwj+odMcMGQB0nUNU/RX4A4VDYVOgNGMAjSETMWKidaSZs7SsGcV0RiDbwEYWvbR/9GN0n30OK2//BgDghbbzrn7+OU6+/xzu/fVvws9QFqgHMQC16ei2DsCZ5s0338RHH32E3d3d0X9bW1uo1+t49dVXx0zRyy+/jHq9ju3tbVy6dGk0TXFnZ2esznq9jhs3bkwZLQC4du3a1Joz0XplUZq+mCWgBGiCSoADyzSoT4c3FTzqnqqYBkXWDNBvzgD17FlAVFthPZ1SVC1REr63qkHLYs4A/QYtDlunUHmIHi3v+z1UQWvKZIwYUCwzFleniDnTnTUDsutGRi/uxafQeONXUvWXBR3mKwwbMVquXr0qVf75558XXuclM/VQpl5RSNaUqbysqYJKID5wmoXgkjpoDDDZmVCZMSC7IZu8Pi9zBmTPngF69DQLOgLKoSXdqBo01ewZkJ9Bs4W+68N35hG1eM/xabQqa8QCimzIoupPMmemsmYA3ZTggFnTjW7zFUZ1gybb+nzGDOQbfVBkzwCaoDKgTGZNV8AYxnTwaJMZi6vPtDkDsmsJoMtGh0lqe6ylaGbhxTxm0BbkszPUBg0oX7AZF0w63gLm3XX0545Gn82763A89ammWSiLGYu7X5o5U82aAfrNWZiyGTWTpmuSw3YP97tqf3dF6O8ZvUiZsmbjBA8trgiVVR1J1RFUTiISlJkMNk0EiVFQbLldBDN23DhO/H5lLb5tp01pBPSbM4C1JMosask9EdOTTo6Oe/C85H0XPacLvzJAxa9OmQddwWaRAk3ZwHJ+8DDmvBV4lT4cf17YkKkasAARIza6p6Ihy2rGvIj7OimHPsfdX6cxA8SnNAI0AxqTJLW/PHSUp9FKw/U8uL4Hz1d7RjZjTIB0pkw2oARog0pAX2AZRV7BnW5sN2KA+Hlj6TsrJpuxyXJx5kwkawboM2cAa8lGiqAl07iuD9+ZHvkfzB/CrZ5mdeYG66j269PXEwebcYFd3maNKuB0vAU4SNYylQkLoDRjwzJ0hizKhImUETFqaVkz1emMgFzWbFQv0YBGEjYbJBNQakjFiNkyCMfQk3n6YjggyBJUZl0oDuQbWBYRysNns3YkeZixYRkxQzZ5TVrWDKA3ZwBryXaKpiVVmo0TzPWGmS+ZthkmCDD9uS68kCEDALd6BMddSszu6MgGBIgEmVmNW54BLLUBC2OrGRMxYqJ1iJozE1kzIJs5A/QatLIjrCEJmatmxGweiGNoIFlTlseI/1hdEYHSLAeXlIEjoD6iI0reZizqepPmDGAt2UZRtaQDkcGDngt4vg/fjwhoKoPIa/zKAEjJ8gTkEXAWITtgiwkLY8qQUZixuDrTzJmJrBmQzZwB0+2CTdo0qtrxH0xf7MdUw0aMkYF0ow/VEf8A1cASiA+myhRgUgeMY3UbDB5tMmNx9eVlzgDWkgnKoiVTxLXPVh/oDHx4/R7makvjF/nRr5tKzOdpzHLAqdOEAdmNGFBsMxZ3DxFzppo1A/SZs9F9ZlQzOvXi9Xs4Gfg4Do05sRFjsiL1Nmw0usIbfWQZ8Q+gHPmfqjsl+LIp0NQZKE7dK4dOxLQZ6zUOEr+vrT2UWH+SMRuWoTdnAGuJApNaAswbsaOjLrxuPovFJw3afw8HePThNuZX1sfKVdwFVPpr8Ocbp5/11+D1a/CgFmwC5Z22pduAAWomLEDEjA3LqRkyE2Ys7p5J5kw1azYskz6lERj/96LSTEDRtON6XuLmQbrpdtr4934few1XuS42Y4z0EGXWgBJQDyoB+sBy6n6Gg7c8odjxR1dWDBDf3j7NkKWZsclyceZMJGs2LKfXnAGsJdvIQ0uAnJ5M0Gic4ONbc/jmuRYWlpuoLq2Ofe906/AHS8OpjH4VFXe8Dc56sGnCgAE0JgwQN2LDsvlkxzw3etosADhzciGQqDkzkTULUM2eTd0/5d/BlI5EtSC6eRAlwd/5oNPEYaOFTw+y65aNGBMm8/TFcDBgKqgEzAeWZYFyy1XdwaNpMxZ1XVrWDKA3ZwBrqQgUSUt58Mmei7/stvGDyh2sr3cwt7CM6nzoOIQ+ELx6fMT/Lr3QZp1JQawocePYcxXzZs2NWnOn614a1sS5nnidHsG5Y7Jb4fuuWNbCc8d3hK3MJR/nEOC6KWeWIfn7wQOf6CS0a+9BmTlHrO1T6yUO9XwQHV6lh4FzMPZQHg7gD+bg+PJnJsYxqSHPdTE4aeGo0cSHt7r4z6GcxlSNWJ4zIxi9kKwpkx3xB2iCSiA6QJr14FLHmRdZO5E8zBiQ3ZBNXm/SnAGsJRuh1pMJLVHRaHThdIevCZk2ufN5D3ttD9/9WhdPrM9jrlIBKoBTUQ8WHcEgVRdxv4PqWUVUeBKGSapeyd9P5Dl8gTLChozS6EoY9STzNawqub2Ktues2slbLzrxnC68amvqc2fQzjSNUajNYqiFL5ouPr7r4p/7Yu2Owogx5Yd0o48sI/4AXVAZEBdElTHA1HXooEoHItt5GDVjR/eiP18/n1hfXuYMYC2Zogxa0olMm/R84MZXA9z4aoDVWgVL1QomY8ozZ9RHstdX6EbDi8jRcU9r/a2WfP2tptg1nVYn8fv2cfL3Af1WI72QAvNn1lLLLK8sJX6/dCb5ewA4syrWllV1UybN9Ba/xL0nfz31+fmbP0Ht5PHY61R04/vAiTvc1CgNNmKMLFKm7LjZweqC2EYfWUb8gelGTBFYBiQFXbYGmSZPejcdPFphxia/t8ycAcXTEmCnnsquJa8nFsRSIGPQmj0fzd70CPSdY/UBhHud8eDKxnZHie42bKLdmtq4iYy9oa6S+n7cH7bD2L7/qPng+4Q+v9kR6uMD3bBmAHSfQPveM2hc+PPoo/U7L+B/ty4A0DtgEQXF+jA2YrONdKYs3KHqHPEP0BlYhqF42YU7N5MBYFbyGMURNWLDskQv5jRDNlk2xpiF70dpzoZly6MlgK79F0VTebyMZbSkE9V2CeibglvkgNNEezfdbtParE1mbOnxe6idbaC3v4bOrfOpa42B9F16jxvtxL7exLEpkxRtNsTk81aaP8TK7W/AW7oLp3MBaF009ixUm3SwEWMClKYvZh3xB2he3gE6g0sZyh40Atk7D+vNWNR1hszZsCxrKQobNVUkLZnGJoMGFGedZFEMWBjq9cJaNm4SeQdE9PMXtv6Oc9/7ZPTz3odP4+7Od0j6fZG+3uSxKXHItMmsmqJq99XWRSNmjFJDbMSYKEjWlMmO+APTDTLrCxwoRnBpkjxfvmFkg8fczVhcPSnmTGT0FJAzZ8PyrKW8KaqWbMA2gxaQV2bA9ACDjq22dWRzybNjsv3/RPmlpzFmyIDhz81Pn0Tn1vmx51E52zItawaYPzYlKzYOnqlig36iCDRlcro6Yw7SjT4A+RH/AIoXeJg4QZUpwNR5voVNRgwgMmPHKXWsxLxgCdabAeO/q47sWQBrSR4btQTI6andpDdux80OnO5whw7ZdhjGVoMWpsiBpa72q/M9QGrGqAbiANSWv4j+/GxjZMoCVI9P0XWmJWB2unqR0X1OGKURY8qPlClrN9uozPvaRvwDKEf+J0kToE0dl8lDBVU7jkKbsXC5OGMW3EdgSiMgbtBYS2ZgLamj0g7D6Jh6a1NbM0HRBxHIpioSmrHRve9G98m9/ehdGKmyZoAecxYwy5opUv8fwEZsNsmUKZMJKIfl1V7mOgPLSWbldPU8Rm9kgkeyaYqihmyyfMasWYBs9oy1VFzyGgk1Zcai7z3+vFlNGlVWt8wBp+0j+YVaLyxA52YdezubOLe1O/psb2dzKks2iWrWbFhGzpwB5V5TLEre7xo2YgwViht9yE3HGl6jPtoaJQCdwWXRoVxQqjt4zM2MxV1v2JwBrCWbyfvlm6cRS4K6Laq2waKaNNsNWJiymbEwd//4dTT/sYHahWP07q6gc7MOgG4DKJGdeXUfmRJFUvszraG8jVYc1Bt0sBFjwpCtKVMNKofX0UyJCZjF4NKWDkM2eLTGjMXVZ8icAawlWyiqlvKGoi1SZ3RtXBdpIujMuw3nasZk3gUR/XvnZv2BGYt5FgVzRpk1Gz0W8VriSWw1STrRtUMihRHTsYaYyR8pU9ZrHGLhbPrJ9LJTsk6vo1mzEJAkqCIHmTq3UlXpLLQYMSAfMxZXf5o5A8jWnQGsJd2USUt+386gybYsWhjRQFPUvOUduOpozzpnR5AbsqzvgcnrktYWBxDszqvDnAH6DVoZsfVdMF5PsQboGHmkM2W6R/xPr6Ub+Y9CRICmO7M8zq1Q7SyydBKFMmNx90vbEATIPXt2eu3saQkwryertZSRYHMnQL7dRWGzQUsib7MVhY2j+LmYMR3vAJF+PkBwAyiKKY2AXZs9FQ2T7wQ2YkwWhEyZ7w9fyv7g9MXU3f9y9P+1tXpqHa398TMVllflOpbm3nQDX1lNz9qpcHC3fGI4bqqfbZElbd5rHIoXbuwJPIREfTpo3Bn+uVyPL7N/a/jn2rnEqlhLxcQ2LQX9c9BfqzDq8/unv6Nqu5sk3A6ztr/JdrW2Vt6As9HQOJKv2JZF27HQe0Ck/wfMvANE+nlAqK/v7n+Z2L8H+krTlapuyqwZnRpJg+J9AIhrKeiblfp7twelt4XbU7maiUDIlDWbTQBA74PXI7/PIoNmhmsYpuywlhhVms0m1tfXlesAgNYffhpfRukODDN7iPTvrCtGhiz9fa1Ww8bGBr761++U77+xsYFaraZcDzOk4gvYbM/zcPv2bayurqJSqZh4LoZhGEYC3/fRbDbx2GOPwXEcpbq4z2cYhrEX1f7+5OQEvZ56pqtWq2FxsRi72xYBIVPGMAzDMAzDMAzD6EFtOJVhGIZhGIZhGIZRgk0ZwzAMwzAMwzBMjrApYxiGYRiGYRiGyRE2ZQzDMAzDMAzDMDnCpoxhGIZhGIZhGCZH2JQxDMMwDMMwDMPkCJsyhmEYhmEYhmGYHPk/MOLbyPiHFbYAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_two_panel(sm, title_size=20, text_size=20, cmap=\"Blues_r\", true_fn_name=\"Gaussian Shells\", kernel=kernel,\n", " cb_rng=[-1100,0], show_labels=True, figsize=[10, 6])\n", "plt.savefig(f\"{basedir}/{benchmark}_demo.png\", dpi=500, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 10, "id": "e33e5339", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Computed 10 function evaluations: 0.0s \n", "\n", "Computed 1000 function evaluations: 0.0s \n", "\n", "Initialized GP with squared exponential kernel.\n", "Successfully initialized GP on attempt 1\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "100%|██████████| 100/100 [00:12<00:00, 8.29it/s]\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Caching model to demo/gaussian_2d/ExpSquaredKernel/10_100/surrogate_model...\n" ] } ], "source": [ "ninit = 10\n", "niter = 100\n", "basedir = \"demo\"\n", "kernel = \"ExpSquaredKernel\"\n", "benchmark = \"gaussian_2d\"\n", "savedir = f\"{basedir}/{benchmark}/{kernel}/{ninit}_{niter}\"\n", "\n", "gp_kwargs = {\"kernel\": kernel, \n", " \"fit_amp\": True, \n", " \"fit_mean\": True, \n", " \"fit_white_noise\": False, \n", " \"white_noise\": -12,\n", " \"gp_opt_method\": \"l-bfgs-b\",\n", " \"gp_scale_rng\": [-2,2],\n", " \"optimizer_kwargs\": {\"max_iter\": 50}}\n", "\n", "al_kwargs={\"algorithm\": \"bape\", \n", " \"gp_opt_freq\": 20, \n", " \"obj_opt_method\": \"nelder-mead\", \n", " \"nopt\": 1,\n", " \"optimizer_kwargs\": {\"max_iter\": 50, 'xatol': 1e-3, 'fatol': 1e-3}}\n", "\n", "# Define 2D normal likelihood function\n", "mean = np.zeros(2) # Mean vector for 2D Gaussian\n", "cov = np.array([[0.2, -0.1], [-0.1, 0.1]])\n", "lnlike = partial(multivariate_normal.logpdf, mean=mean, cov=cov)\n", "\n", "sm = run_demo(lnlike_fn=lnlike, bounds=[[-5, 5], [-5, 5]],\n", " ninit=ninit, niter=niter, savedir=savedir, gp_kwargs=gp_kwargs, al_kwargs=al_kwargs)" ] }, { "cell_type": "code", "execution_count": 11, "id": "c8a39bfa", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plot_two_panel(sm, title_size=20, text_size=20, cmap=\"Blues_r\", true_fn_name=\"2D Gaussian\", kernel=kernel,\n", " show_labels=True, figsize=[10, 6])\n", "plt.savefig(f\"{basedir}/{benchmark}_demo.png\", dpi=500, bbox_inches='tight')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "e81760a1", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "py310", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.16" } }, "nbformat": 4, "nbformat_minor": 5 }