{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Outliers \n", "\n", "This package offers a few algoritms that might help you find outliers. Note that we offer a subset of algorithms that we could not find elsewhere. If you're interested in more algorithms we might recommend you have a look at [pyod](https://pyod.readthedocs.io/en/latest/) too. That said, we'll demonstrate a few approaches here.\n", "\n", "## Decomposition Based Detection \n", "\n", "The scikit-learn ecosystem offers many tools for dimensionality reduction. Two popular variants are PCA and UMAP. What is nice about both of these methods is that they can reduce the data but also apply the inverse operation. \n", "\n", "![](_static/decomposition.png)\n", "\n", "This is similar to what an autoencoder might do. But let's now say that we have a dataset $X$ and that we're happy with our dimensionality reduction technique. In this situation there's a balance between reduction of data and loss of information. \n", "\n", "Suppose that we have a datapoint $x_{\\text{orig}}$ we pass through our transformer after which we try to reconstruct it again. If $x_{\\text{orig}}$ differs a lot from $x_{\\text{reconstruct}}$ then we may have a good candidate to investigate as an outlier. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pylab as plt\n", "from sklearn.datasets import load_iris\n", "from pandas.plotting import parallel_coordinates\n", "from sklego.decomposition import UMAPOutlierDetection, PCAOutlierDetection\n", "\n", "X_orig, y = load_iris(return_X_y=True, as_frame=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll demonstrate both methods briefly below, using this following function to make some plots." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "def plot_model(mod, components, threshold):\n", " mod = mod(n_components=components, threshold=threshold).fit(X_orig)\n", " X = X_orig.copy()\n", " X['label'] = mod.predict(X)\n", " \n", " plt.figure(figsize=(12, 3))\n", " plt.subplot(121)\n", " parallel_coordinates(X.loc[lambda d: d['label'] == 1], class_column='label', alpha=0.5)\n", " parallel_coordinates(X.loc[lambda d: d['label'] == -1], class_column='label', color='red', alpha=0.7)\n", " plt.title(\"outlier shown via parallel coordinates\")\n", "\n", " if components == 2:\n", " plt.subplot(122)\n", " X_reduced = mod.transform(X_orig)\n", " plt.scatter(X_reduced[:, 0], X_reduced[:, 1], c=X['label'])\n", " plt.title(\"outlier shown in 2d\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### PCA Demonstration" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_model(PCAOutlierDetection, components=2, threshold=0.1)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### UMAP Demonstration" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plot_model(UMAPOutlierDetection, components=2, threshold=0.2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "One thing to keep in mind here: UMAP is a lot slower.\n", "\n", "### Interpretation of Hyperparams \n", "\n", "Both methods have a `n_components` and `threshold` parameter. The former tells the underlying transformer how many components to reduce to while the latter tells the model when to consider a reconstruction error \"too big\" for a datapoint not to be an outlier. If the relative error is larger than the set threshold it will be detected as an outlier. Typically that means that the threshold will be a lower value between 0.0-0.1. You can also specify an `absolute` threshold if that is preferable.\n", "\n", "The other parameters in both models are unique to their underlying transformer method." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Density Based Detection\n", "\n", "We've also got a few outlier detection techniques that are density based approaches. You will find a subset documented [here](https://scikit-lego.readthedocs.io/en/latest/mixture-methods.html) but for completeness we will also list them below here as a comparison." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "from sklego.mixture import GMMOutlierDetector, BayesianGMMOutlierDetector" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### GMMOutlierDetector Demonstration" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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D5AAsDi44AfD6kbcYLQ1TDPL9uq2tbptjtUmO1SeJ44jiS69SengL/gt7iASOrruGiY/egXXZFeT9kEquxFBhgMFCBW9WDBw/rhOHt22DN9/UIUHXXafFwO23Q6GwgHtuMCwsZhJiMCwM5toznG8sBgHwsz/7s2zdupWJiQnGxsb4rd/6LT71qU+dcRkjABYxIqJ2vrGbJE3JeSGjpSFGSkP9KkCpSplqzHCsNslMq4b7zhEGH9lO/vGdpJ02M6tXcnTTbfRuupEwyOPYNqWwyPDJYuDgQS0Etm+Hw4fBceCmm3SI0C23QBAs4FEwGD58zCTEYFgYzLVnON9YDALgvWAEwCJGRNQLB17BtR06UY9Wr61bOOcrjJaHKYfFvlegE3W1V6A2QVyrUX70CUpbtmMdm6BdKXLkrltpbboLvzKIJYKIUAqLDBUqDBUGtBhQCt54QwuB7dthakpP/m+9VXsGbrhBiwOD4QLHTEIMhoXBXHuG8w0jABYHF5wAeOqN54jSGNuyyfs5BGh0WyRpQuD62itQHMJ3dfMvpRQzrRpHaxNMV6fIPfsClUe2Ebz6Oj3X5tj6tVTvvZvcpZdjWxZREgNQCgsMFQYYKlTwHA/SVOcJbN8Ojz0GjQYUi7qs6MaNcO21ppKQ4YLFTEIMhoXBXHuG8w0jABYHF5wA+KPtf85gvkwlX8G2BBA8xyNwPeIkodXT9WYH8mXGSsMM5Mt9r0AvjvpegfQHb1B+aCulp3aRRj0m11zG5EfvxLv5Vkq5At04ohN1gVOIgTiGZ5/VYUI7d0K3C0NDOnF40ya47DIjBgwXFGYSYjAsDObaM5xvGAGwOLjgBMD/2vkdau06qUrxHY9Srkg5KOI6DrZlE3oBllh0oy5xmuA5LiPFIUZLQ4Sejt1XSlFrNzhWm2Dm8AEKWx6lvPUxrOoMzeFBjmzcQLTpLsbHVuI5DrV2sy8sikGB4eIAg/mK9jJ0OvDUU1oM7N6txcHSpdorsGkTLF++kIfMYHhfMJMQg2FhMNee4XzDCIDFwQUnAHa+8SyhFzLdnOFo9Ti1dgOlFK7jUvTz5IMcoRfgOx6+66NU2rfkl8MiY+VhBvMVLMsCIEpiJupTHJ08gvP4ExS/v4Vg/wF6nseRW9cxc89GRi67itHSEHGSMNWcOUEMzOYM+K4H9bruOrxtm+5CrBRceqnuPHzXXTA8vFCHzmD4kTCTEINhYTDXnuF8wwiAxcEFJwBePvQatXaDJE1xbZfAcZlq1jhSPU6j2yRNU1zHJecF5LyAvJ8n5wW4tkuURiRpimPZjJSGGCsNk/NDQHsFGt0Wx2aO03h+F4XNj1DY/RxpknD82jUc23Q77vXXs2pkJeWwQL3TYrIxfXoxMDU1V1b09df1DlxzjfYK3HEHlEoLdRgNhneNmYQYDAuDufYM5xtGACwOLjgB8Phrz5D3QzzbI05jmt0WqVL4jofrOEw3qxypTtDstEhVimM7+I5L6Ibkg5BSUMCal+xbCPKMlYYZLg5gWzagm4xN1KeZ3Pc69vf+ktK2x5Bmk/qSMQ5vvJX2hltYNrqcZYPj+I7PVGPmJDGQz3IGMjHwzjs6eXjbNnj7bbBtWLdOi4ENGyAMF+yYGgzngpmEGAwLg7n2DOcbi0kA7N27l1/4hV9g9+7d/PZv/zaf+cxnTvtZIwAWMSKiHt37NKHr0U0iAEI3wLFtkjTtT8ADV+cBVFtaDLR6bZI0wbZtPMsh5+fI+yGFrJlYmqY4ts1wYZDR8jAFP3dik7Hjh+hsfpDC5u/jHD5CNx/yzoYbmd50O8WlK1g5uJSx8giJSplqTDNRP40YcFzYt2+ux8Dx4+B5urfApk2614DrLsixNRjOhJmEGAwfMnEMu3YhGzagnn0W1q41xSUM5wWLSQAcO3aM/fv3841vfIOBgQEjAM5XRET95wf/B67tMJAvM14epRjk6cQ6xt9zPBzLJk5julEPESHnBSgFM60ax2oTtKMuaZpgidVPGi4EeXJeiIhgWxY5L2SsPMxwcXCuyViqJ/fVnY9hf/u7hC+8SCzC8XVXc2TjbVhXXMGygXGWDIwykCvTibpMNqaZbEzT7GoxUAjyDM8XA3v3wtat8PjjUK1CPq+7Dm/cCNdfD1megsGw0BgBYDB8CMz2nnnkEW0oqteR73wHdf/9MDoKH/sY3HefrjpnMCxSFpMAmOWzn/0shULBCIDzFRFRX9nxLZrdNq1eG6UUtm0zEJYYLY8wmC/RzhJ+bcvOxEBCnMRYYpHzQ5I0YapRZao53RcDALbYBF5A3g8JXB/f8XBsm8HCAGOlIUonNRmbfHUP0Te/QbjtMdJ2m+qqZRy+81ZaN61jsDzEisEljJaG8V2Pdq9zSjEwW1o0sBx4/nl9w9+xA9ptqFTmyop+5CPG8mNYUIwAMBg+QI4fhy1b9MT/0CHtCb71VrjnHuSWW1DbtsGDD8ILL+hnwfr18PGPa6+xaUZpWGScMJH+/OfhzTff3w1cein8vb/3rha5GAXABXdnqLbr2JbNaGkIFLR6bSabM0w0prEtm1JYYKw0zEhxkHbURaGwxMKyLJrdJkpBIQgZLg4QJTHTzRmqrTrtqEOr26LZbWKLje+6hF5ItV3naHWCvB8yWhpmtDRI4Posu/Ym1DU3Mv1Lh2k+8G3K332Aypf+gva3H+LwHet57vZbCIdHWFoZY7wywrKBcZYPLpknBmbYP3GQ/RMHtRhYvYyh6/4Bwa/+Kjz9tA4R+su/hG9/G8bGtBDYuBEuuWShvwKDwWAw/Ki0WvDEE3ri/8IL+rVrroGf+ildKCKfn/vsxo3655134Pvf1z//5t/AwID2CPzYj8GSJQuzHwaDYVFywXkAPvfQ/6Tg54nTmDjrCFwI8tgiNDsd6l1dFlQsoeQXGC0PM1IaIop7JGmKUgrLEpI07YcBBY5HN+4x3axS7zTpxN3ssym2WLrakOfjuz7FoMBIcZDR8hADuXlNxnodZrY+TPyNv8B56WV6lnBs/fUc3ngr9spVDObLLB0YZ7Q016VYi4GZzDPQAmY9A7qaUNCLdaOxbdvguee0e3jVqrmHwdjYQn0VhosM4wEwGN4HkkR7ex95RHt7ez09cb/nHvjoR/v39G7U5WhtgkPTR7n9ipvYve8lPjJ+CXk/P7eeZ56BzZu1wUgpHTb68Y/rwhKet4A7abjYWegQoM997nN8/vOfB+CBBx5g6dKlF6UH4IITAL//wB/2//Zsl5wfgBISpeP6i0EO23Jo9drU201SlSIiFII8I4VBxipDxElKkoUGiWXp0qG2k/24dKIu060qjU6TXhyRpIn2JGBh2zau7VIIclRyJZYNjDNWHiZwfUCXE63v3UP7q3+ObN9G2u0yefkqDm+8lda1V1PKFRkvjzJWGT5BQMyKganGNI1ZMeDnGCrqnIGg2YbHHtOegVde0Qfgyiu1ELjrLh0yZDB8QBgBYDD8COzbpyf9W7fC9DQUCvq+fc89sGYN3Tii2qpxtDbJ0dpxqq26Dl21LH761vv5yo5vISIMFwe5dHQlKwaX9KvWMTkJDz+sxcDRo3rdH/2ozhdYtWoBd9pwsbLQAuBUGAFwnqNzAL7JZGOGTtRDMbdvTmbJt8VGiZ6w5P0cnu3S7rWpdZokaaITg/2Q4XyFsfIICl32s5dECEKqUjzHxbM9XNuh2Wsx06zR7LaIk5goTbBEUIAjNo6tPRCjpSEuGV7OcGFgrsnY1CT1b3yN9DvfIZk8TmOowqHbb2by1hvIlQcZKFRYUh49wSsAzCUQ108UA4OFAYaLAwTT1bmyovv26ZjQtWt1mNBtt53oOjYY3geMADAY3iVTU/oevWULvPWWLv+8fj3ccw+ddddTi7tUWzUm6tNMt6q0ex2SNCVwPQbyZUpBAddxuWb5R3juwMvUWg2O1yeJ4gjP9VgxsIQrxldTzhX19pTS3oXNm7V3IY5hzRotBO66y5SbNnxoLCYBcOTIEdavX0+tVsOyLAqFAi+//DKlU/RiMgJgESMi6is7vw1K4TkeKkk51pyk1eucMDmxxMKzHVzLBQHbtgmzxN521KXeaRAnWgwErs9wYYCx8jCWZRMlEd2oB2hrfuD6eK6uLlTvNKm1GzQ7LZI0JlYpFoJCIVi4jkMpKLBscIzVIysphQW9niiivfVhOl//GskrL9N1HQ6vv5537roFa8kSSmGR0dIQ4+URKrlS3ysA88RAY4ZGpwlA3s/1E4jDI8f0Q2bbNm39cV39kNm4UZcXNa5gw/uAEQAGwznQ7cKTT2pr/+7doBTqiiuINm1k5sa1VF2oturUu03avQ7dqKvDUF2fgXyF0AtQKqXRbekO97bDLZetY8fru0iVInADkjRmqlllplVDgIF8mdUjK7hkaBmuk5WRrtW08HjwQd17Jgi0CPj4x01RCcMHzmISAO8GIwAWMSKiPr/lTykFRXJBQLvXIU1TLMvGQphqztDstkhUOrcMgmPZOLaDY9u62o/rE7genbhHvdOkF/WwLAvfcRkoDDBeGsZzXbpRRCfqMHsIA9cn9AIEqHca1DtNGl3dcCxNUgTJvA/g2i4D+RLLB5ewang5eT8HQPzyy7S/9mfE27fR7XU5dtVlHL7zFlprLqMYlhjIlxgrjfyQVwBmxYDOGThRDFQYylcI9x3QnoHt22FmRlt8NmzQnoG1a021CMN7xggAg+E0KAV79uhJ/+OPo9ptkqFBmrfdwtTNNzA5UKAb9eglEb04yp5ZFoHrUQwK/dLVnczwFHoBA/kyg/kKxSCPZVn04oiJ+hTHapM0uy1tvHJ8mt0WE40pulEP13FZWhnj8rFLGCoMaEOSUvDqq9orsH27FiiXXKK9Ah/9KBSLC3zwDBciRgAsDi44AfAf//K/kSqFiOA7HoUgR9EvEKcJSaq7+1piU+80aHSaxGnM/CNgW3Y/dMfJ+gAErk83jqh3GnTjHoLgOS4DuQrj5WECz6cT9bTgUCm2ZfXFAApqnQb1ToNmt02aploBZMddRK9rsFBhxeBSllZGdQOyqSm63/wLet/5Np2pCaqjg7x9x81Mrr+eMF+iFBYYLg6e0isApxMDofYM5MqEr76uvQJPPAHNJpRKcOedWgxcdZWxABneFUYAGAwncfAgbNmCeuQR0mNHiVyH2k1rOb5+HdXLLkFB/5qJ0xhBcB0Xz3b73eiTrAx1MSgwWCgzkK+Q84K5bSiFWNYJ116z2+JYbZLjtUniNMGxbESEmVaN6WYNUJTCIpcML2f18HICT+en0WppEbB5M7z+uvYW33ab9gpcd515JhjeN4wAWBxccALg3z/wBVzHwbEdelFEovQN1LUdcl5IMchnScExKQpbbFrdNs1ei14SnRgqhGBbNq7jZssHeI5PL+7R6Db7oUCu41IJi4yVR8gHOdq9Dq1um1SlOvfACwk9nzRNqbcb1DqNvndCLKufM2BlIUeVXIkVg0sYLg5Stn3Yto3O1/6c7huv0/BtDt68lnfuWI8MDVMOi5RyhdN6BQC6UY/JxjQTpxIDfoFwz8s6+eypp3TVieFhHSK0aROsXm1u/IazYgSAwQDUaqht24gf/j7J3leI05TqVZczfetN1NdeixPm8ByPNE3oxD1tEAIc20EQ4jSBrDR1JV9iMF9hIFeaC93pdPTkfO9ebbnfuxf50pdQn/kM3HuvDuPJcrzSNGWqOcOx2iQzrRoAvuPS7nWZalZp99o4tsN4eYRLR1cyVhru56fx1lvw0EPaa9Fs6kpEP/ZjehuDgx/2UTVcYBgBsDi44ATAv3vg8/3kX0FwbAfXsojTlERlZT5Fu1fzvr4ZJ2mSNfzSN+B2t0U77pGeECqkPQee4+I6DqGrPQO9JKLZafbds46t4/xHS8PkvYBu0qMddUmSRC/nhYReQJzE1DtNqq063biLSnVpUlvsrC+BEHoBpbDIWGmYoXyZypsH4FvfovvEYzSjLkeuvYIDt6+ne+kqcn5IOSwylOUrnMorAHNiYLIxTT0TAzlP9z0YtANyz2YNx559VpeSW75cC4FNm0wdacNpMQLAcLGiej06TzxG/P3N8Mwu4qhHZ9kSqhtupnPbreTGl+LYDlESU+80sspx2lMsSGYIElr0BqwAACAASURBVFzbZTBfZqBQphyWsEXgyBE92Z/92bcPMtHAsmWka9Zg//qvk/7KryBvvz1ntb/3Xli3rt8tvhv1OF6f5Fhtkk7URUSwxKLWblBt1UhVSt7PccnwMlYNL6cQZIUiej3tJd68GV58Ua/v5pu1V+DGG3XissHwLnnllVe48sorTzlHWawopdi7d68RAIuV2TKgFtIv3zknBsDCwnEcUIpEpaRKYYng2o4O9XG0azVRCUmaIujym92kR5TEJ2zLQrBth8D1CN2A0AuIkohGp0037urSoY5Dwc8zUhqiFBRoRx06UZcoifEdj9DzCdw5MVBr1+nEPVBgWdr74Nkujm0TuAEFP0clX2a43mFg66OozQ/Rrk4xsXSU/bffyOT1VxGEecq5IsVMhIyVh/CcUyf6nk4MDBUGGFI2uad3aZfwnj16gSuu0ELgrruMFchwAkYAGC4WlFI0Oy1aLzxL+vDDuDt2IM0WcalI+/YNpHffTW7NVViWRb3dYKo5Qzfq9fvSKJU9jyyLnBdm8fxlCtjIrHV/1sJf05Z7wlBX7Fmzhujyy5lePs60nTDTqrPh8hvY9eYLLJmsM/zUs7iPPQ71OgwN6Tj+e+/Vhpxs7LV2g2O1CSYbMzpkVWx6ScRMVmnItmxdTnRkBeOVUVw7yw07fFh7Bb7/fZ1DNjg412RsfHxhvgzDeclbb71FsVhkaGjovBABSikmJyep1+usXr36hPeMAFgknNwHYBYLC5X91/8sgmM5WECC0v0A0DkAenIeZGH6ihQFShGncZasFZ/kHRAsyyJ0fAIvIO8FRElMs9emE2kx4Ng2eT/HcGGQgVyJVtShHXX6YiDnhYSuTzeJ+mFCvUwM2GLjuS6BFxA4Ho7tELg+hVRYsutFSg9tIT50kGrOZd8tazl0yzrsSpm8n6MUFhnMV87oFYD5YmCGeqcBzBMDnZjcU89oz8APfqBDgq67TocJ3X67SRQzGAFguGBRStHotqi16zQP7EO2bqX4xFN4xycQ3ye55Rase+8ld/MGeqR9o0o36tGLe1hi6bLQlo1t2RTDAoO5EgPVJuGb++Ym+/v29XPDWL5c93G58krURz5CY3SI6U6DmWa1X/rZc1wquTJXjK9iz9uvUm3XAai4IUvfOEDp8Sexdu/WHoM1a/RkfV6IUJzETDamOVqbpNFpogBbhEanRa3dIE5jQi9kxcA4lwwvp5LPnh9xrJuMPfgg7Nqlx7xunU4c3rBBeyEMhjMQRREHDx6k0+ks9FDOmSAIWL58Oe5J57cRAIuE2U7Aru3QjXt0494Pfyb7V53wmmQWfRuFIk0Vs3GYruPo/gGWTZoqEnRcf5qmdCK9jdk8g1l0iJGP73qU/AJRGtHqdehkdZxt284m1xWGchWaUYfOfDHg5whcj27Uo9au0+i2+mLAceZyGQI3yESLReXl1xjfvgN/zyu0JeXgdWvYf/uNtJeOE3oBlVyJgp87q1cAtBiYas4wUZ/+ITEwXG0S7nxKewYOHdKVg268UXsGbrlFl5MzXHQYAWC4UEhVSrPTotpu6En/1AS5Z3ZT3vE0xTf34VgOrL0e976P4d55F3VL9Sf97V6XbtzDEgF0OWrXdhjAZfidCUpvH8Z57XU94a/rCTu5XN+6z5VXwkc+QpQLmWnVmGlWmW7ViDMPdDEoMJAvMZAvk/NCRKR/7XWibj/5txv3cCybsdRm7NmXCLY/Bvv3nzZEqNVtc6w2wfH6VN/bnaQp1VaNdq+DZVkM5MqsGlnB0oHRfmNLJia0R+Chh+DYMW0MuuceLQZWrvywvzqD4UPHCIAPCBGpAF8ArkXP2X9RKbXjDJ9X/33rn9GOO7qpV5bEq9KUbhKdYLU/43az5UD1vQAicyE5tm2TJikIunQoFr0kohV1iJPkhzwNvuvhuz4FP4dSKa1et18xyBIh54UMFioM5su0el06UYc4ifFd7RnwXZ9upJvCNLot4kQninmuTynIM1So4Ls+cRLjHjzM4JZHGXz6WdJOl4nLVvDWhnVMXHkZgReSD3IU/TyDhbN7BeAMYiBfZvjYDOHOJ7UYmJwE34dbb9Vi4MYbTVnRiwgjAAznK2ma9i38tbau2Jb0ehRefpWhp5+j8uLLuCnYK1Zi33cfatMm6qVcv8pas9umG/WyWglC6HoUJ6uMHjpO+cAhwrf2IwcOzFn3V6zoW/e58kpYsQIFNLttZlpVppvVfkimYzsM5PSEv5wrzYXjAHEcc2j6CKtGV3C8NslwUYdlKqWotuo6zKc5g1KKvBeyZKrB4JO7cLY/qsXH4KCerM8LEUpVynSzyrHaJNPNqq6oB7SjDo1Ok14cEXoB4+VRLhlaylBxENuy9L4995zOFdi5U3sJrrxyrsmYMQwZLlCMAPiAEJEvAo8qpb4gIh6QU0rNnOHz6t997/PYYuHZHo7joFRKFMcodLx/qhTRSSE8Z8MSQdAF/FWa9sWAbTvYImhbj+jtuh5JmtLKrPbpCWJAVwwKHJ+8F4JAJ+71KwIB5PyQSlhisFCiE0V0ou6cGPBDPNujHXWotuq0em2SJAGBnBcwWBhgrDSM73q0J4+T37qdga2P40zP0Bwss+/Wdbxz03WoXNhPGs77OcbKw4yWzuwVAOjFvf5Dr9bWYiD0AobzFYYPvEO440l4PIs/LRTgjjt0mNC11/YtTYYLEyMADOcLaZr2mzbW2nXqnaZ+HihF5cgEI888T+nJXbjNJlapDJs2oT76UerLx5nol1Zu9T3MbqfH4DvHGHz7HSoH3iG37wBOu6O9zfn8nGU/s+7PD8GptupMt3TTrl4cAbqr+0C+TCVfpuDn+tdWO+pyvDbJgYlDHKtPUm3VidOYv3/Pz/MHj3yZgp9j2eAYa5ZcxlhpGBEhSuKsP8AEzW4bS4RBL8+S1w9QeHwHsmvXXIjQbBWhgm5Q2Yt7HKvpZTtRVxfLUIpGRzcpExFKYYGVw8tYWhnrj5VqVVcP2rxZl0INQ20U+tjH4PLLTVU5wwWFEQAfACJSBp4DLlXnOEgdAvTH9OIuqUr7pTVty8G1HWyx9OtKR/Ynadq/qSnOvglBW/Qhc7tmy9iWhS02YvXf1d0bHR8saHU7tHvtExqQAThi43s+oRvgWDbduKet/1kCcugFlIIig4US3TjWIUQqxXdcQi/Ecxxa3Q7Vdp121CVNEyyxyAc5llVGWVIZw04V8ROPEn7vIYIfvEXPtTl007Xs33ADneEhcn5I3g8pBPlzyhWY5XRiYCgoMvrGfvwdTyJPPqnL1g0O6gfLpk3mAXCBYgSAYbGSpCmNTiML6WnQ6DRIs3M174dU2jGDzzxH7vEd2G8f1J7LW27Rk/5r1jDRrvc9oJ1el+DoMQYOvEPl7cNU3j5M7ugEruVg27YOe7nyyrlJ//Ll/fudUop2r8N0q8p0s0a93UChsC2bSmblr+RKeI5LFEfUO02mm1UOzxzlaHWSRldb4AXwHI9imCfnhfz42rv59u6HmWlVafXaCELOD1k6MMYVY6tYUh7Ftm0anRbHahNM1KeI0wTf8RhVDmO79+Bt3TYXIrRhgxYDN9wAWY+BeqeZJQ5PEyW6al43jmj12vSiHoHnM1wYZOXQUkZLQ7psqVI6v+HBB+HRR3VFodWrtRC4++6+0DAYzmeMAPgAEJF1wB8CLwNrgV3AP1JKNU/63KeBT2d/3vTvHvhDHbtve1iWECcxUaI9AJkdH8d2dMMv29aTf6WIs6Yrs8LhnMeZiYFZLLGwxEJEv6eUwnNccl6IbVs0u22a3VZW73kOCwvf1ZWBbMsmimO6cZck8wwErk8xKFDJlYjSmE6kvQaeoz0Dllh0Ms9AN9IlTB3boZwrsGpoBcsGlyBvvE76zW/g7niSJOpxbM1q3rztBmYuuwTf88l7Omk474fn7BWA+WJghlqWiBZ6AUNOyMjeHxA8sRPZvVu7hZcs0UJg40btCjdcEBgBYFgsJGlCvd2k1qlTbTVodJv9c7OQFUYoiUPpuT0427bB88/ryepVV6HuvpvaTeuYlFh31Z08hvuDNynse5vKgcOUDr5D0I11b5hyBWt+KM8VV/St+/PHUm3XmWnWmG5W+16D2eo/A/kSOS9Hq9fuV4I7VtWhOzq0SJfsdCybnB9mxiKd49aJu6AUf+u2v8ZXdnwLL2t8qcNFG7Sitt6WGzBeGeXS0ZUsGxjHsewf6g9QDguMTzYY2PE01vbtJ4YI3XNP/14dJwmTjWmO1SapdxpEcUxKSqvb0eWslaIQ5Fk+OM6SyigDubJ+Pjabc03G3ngDPE97iD/2MbjmGmMUMpy3GAHwASAi64GdwB1KqSdF5D8BNaXUvz7DMuoPt/wp7V6HJI2z+MXZZl4OKlVESZRZf2Y78Vo4/XKbDolKiOKYKI1J0wTFrNVfr+tM8kCQfqiRUlnokMw2+lL9DsI5PyBwA5rdFrV2kziJTlirlXWEDFxfJxyrlE7c0+E+gO96FLw85XyBJNXJX6lK8WyX0PMRsWj32tQ6TaJYNzfzXY/hwgCXjq5kBQHpA99Ffe97xNOTzAwP8INb13Jo7ZWIH1AM8hTCPAU/9668AgC9OGKqMcNEY/oEMTCMy/CeV7UYePFF/cC99FItBDZuhJGRs67bsHgxAsCwUMRJQr2jrfvVdp1mp9W/3+aDHKWwQDksUvRCnJde1uEpO3Zo7+TYGOruu6nfdgvH8x4ze/egXnkF/823KOw7SOH4JK7t4LoezupLca+5Duuqq/SEf+nSU05c271O1nW3Sq1dJ1UK27IohyUquSK+69OLIxqdJvVOQ3sDOk2a3VY2idZeZc928VxfG7Liua7Atu1QCvKEXogI3LXmFra+vINO3KXWbswZhryQXtyj1qnT7nUBbUgaK49wyfAylg+MY1s2x2qTHKtN0I172JbNSFBk/LV9hI8+fsYQoVavw/Ga7i3QjXtEcUScxLSjDr04wnc9BnJllg8uYaw8TDjbwfjNN7VXYNs2LQyWLtWlRO+7DyqVD+ekMRjeJ4wA+AAQkXFgp1JqVfb3XcA/U0r9xBmWUX/wyJeyEp82SZrSjbt9D8DspNyxbBAhUSnJSUm7tlg4lkPoB5lgiOklPR2+o1RfEMxO8k8uL/pDY0LICkLMdf1Vc/kAOS8g7+fo9DpU2w26ce+Hkohd29ENyCyHVCm6SU97BpTqW31KYZ5UQS/qkSqF6zj4rg9K0ep1aHabREmMLRaBF7C0Msal5XGW7nmV9JvfIH7jDequxVs3Xc0bN11Nt1IicHyKYZ5KWKIQ5N+VVwDmxMBkY7pfoi5wfUZjGH7+FfzHd+i61wBXX609A3fcAeXyOa3fsHgwAsDwYREnMbVOg1pLl0ueP+HX98IipbBAMSjg2DYcOABbtuifyUnI51F33EFj7bXMtBu0XnwO69XXCPcdwOn2sC0Lp1zBuupq/Ouux7/mOmTNGh3LfgrSNKXWbmShPVU6kZ5sh57u3eLaLgpFs9um0dH3+Ga3k+WJRf2JvVgWrmUjIv0+NCKC53qUwwK+oyvvtKMutXadKMsZmPUAWGJRCou4jkMv7tHqdojTGM/x8CyHKNX9Zma9EIHrM1QcYOXgUpZVxlAojtenmGxMkypFzgsZUw4jz+7BeWSLLlN6mhCh6VaWONyo0ot7JGlCO+t5k6QJBT/HeGWEJZUxhgoVXWSj29U5Y5s3w0sv6aZit9yivQI33mjyxgznBUYAfECIyKPALymlXhWRzwJ5pdQ/PcPn1ecf+TIFP0+KotVrZzH/inS2+VeS6BtuVj7NzjoiJkrnBJzc/de2bALXxxaLOE3oRhGpSvpT9NmbtCAoUf2QndOOMStEqjsLixYUYmFnsfsFL0esYqabNbpR9wSPw2ypUtd2tYgBokR3lVSAaznkAx3PL6DFhFI4lovvuiRpqpuR9TpEaYJrOxT9HCsGl3D5RIvBh7eR7txBJ+7x9pWreWX9NRxfOoxl2eT9kHJQoJIvn7Xb8KnoxRFTzRkm6yeJgUaP4edfwn/sCeTgQX3Tv+EGLQY2bDjtQ9ewuDACwPBBESWx7o3SrlNtN2hmdfBFhGKQpxQWKIVFikE+q96GTkTdtk1b+7PeJerSS+mMjdDoNIlefQXr8BFdic2yiFYsx77qaoLr1pJfeyP+ykvOGJbSjXr9CX+1Ve8nEXuuh2u7iAi9uEcvjrLnRpderIs66Nfifi1qEVBKcG0bsSzyXkghLODZDqSKRk/X5Z8VCoEXUAryKLS34f4b7uWB57fgOx61doNuJkDyQQ7f8YiShF7UJUoTfMdFxCKajd+PI0R0TsFAvsTSyjhLKiMkacpEY5pGp4mIMJgrMT7VpPT4TmTbtrkQodlGY1mIUBRHHJuXdNzNkoe7kW6m6ToOpbDA0so4Y+VhikFeP0MOHdJC4OGH9Xc3PDzXZGx09IM5sQyG9wEjAD4gsjyALwAe8CbwC0qp6TN8vt8ITERwsAj8HDkvIFXaIpEkOs5/tkuwUqrvcp1fU1kLghPj9AXBs11c2yWVhF4vzsRA5hcQEOZCftJUkXJ6QSDz/589bCwE27J0cm6QRxRMNat04u4J45n1cjiOgy121t04IUoSRMCxHPJ+SOiFuomZShGlstwHR3ez7LboZeVRfcdnIF/iUuWzaufz5B99jLReZ3LpKK+sv5o3Ll9GIlqA5P0clVyJocIASyoj78orAPohMdnMPAOtTAw4HqPTTYZ3v4D/xE7k+HEdJ3rzzVoM3HST/tuwKDECwPB+ESVxvyRnrV2n2dWx7JYIhaBAOSxQCgsUgoIuQTlLrwdPPaUn/Tt3Qr2OyuWI8jm6rQbdTls3c8wFtC9dRXzFFRSuX0fh+huoDI5pb8FpSFVKvd3UFXuaNZrdlvYsK4XruHNeXpHs2QJJ1gyyHXXpRl2iJOpXAp3tQO/YDsWgoMWLbZMmCbVOk0a3SZpVnMt5IaUwDwitXptqq0690yJVutT1p+/5Of7gkS8hIhR8XRbaczzq7QatqNP3FAeeT6oUaZIQp0nWlViHxXaiHlES9cNUS2GBsfIIw4UKSZowlfUi8ByXkbDM+Gtv4W9/DJ5+WocIfeQjWghs3AiFgm6e1mlyrDbJRGOaTq+jw4SSmDh7Bue8gKHiAEsqo4wUh/AcV+eJPfWUFgO7d+uDtW4dfPzjusS0KS1tWGQYAbBIEBH1Hx74PFjSb+Y1u3ezN9zZJKpYJf327Gma9usdS+YRsMTCsnQH4STzGpwc/2+JpS0q6HJrcRrTn9Bb0m8whpBt48wJxtkzpO8lsESwxSbwfQpBHltsqq0qrV7nhCRiycbiOi6W6Aei9nbEkIU8hV5I4PpYIv2mMo7t9B9Y7ayHgYgQegGjbp4rX9nH6PYdeEeO0SsXeXP9tbx07WqmnLlkap3MVmLpwBjLBsbflVcAtBiYamY5Ay1dFSNwPMbemWRo1wv4Tz6FVKu6Wc5tt+nqEdddp93FhkWDEQCG90oUR1T7E/4Grd7shN+iGOYpBUXKuQIFP491cliIUvDii/D1r+sQn4kJVByT+B6dcpG2Y1MdH6a6Yindy1djXXU1I1dczXBpiGKY798vT0Uvjphp1fphjO2ejm23LQuxLPwsb8yxnX7IabPbysKSmnSiudBR27JxbYecH1IKC+T9HJZY9OKIWrve7wtjW9rAkvdDQOhGXaZaVRqdpg4LEvAsl8ANcGwLEP7GrX+Vrz75AIlKaHXb9JIISywKQZ6RwgC+41PrNmh0mlk+gk3gevrpJPQ95EopulGHXhITZxXlHNum4OcYKg5QCoqkKukLslJYYCx1Gdz1PPYjj+gQIcfRntv77tMTd1sfl9nE4ZlWTVfES1LtvVYptmVR8HWI6Vh5hIF8SX8vx4/rBmMPPaQbjpVKWmR87GP9vgUGw0JjBMAiYb4H4IyfQz9cPMcj7weARS/uZR6CuD/RFwTLsrCwsG0LCyElJYqTH+r+C1mr9yycaNbDAJJVBcqqBWV5A+kpBMXpx5tNuC2dC1AIcti2TbPTotXr9HMc+mPObty6BX3miZh9EDk2oe0TeAG2iBYSIliWjcrG3Ut6JKnCtW2Kfp7Vbx9n9RPPUtz7GpbnM7N+HS/euIaD5SCrREH/4TaYr7ByaCkrh5bqHIR3QZTETDWmmWzMUG3VtRiwHMb3H2Fo1/N4Tz+DtNs6R2A2eXjNGlNBYhFgBIDhXOnFvX7Cbq3doN3rANoLWwwK/ZCeQpA79QS9WtWx49/6lrb0HzuGAtJyieaSMY5edRmTK5Yws3IpyaWrGRgaZ/nAGMPFQUIvOK2BYtZqPdGY5mj1ONNZbf40TXBtl8DzyXkhBT+HYzukKqXVbXO8PqmFS7dNnIWcOpad3avzVHIlQi/AwqIVdai363Qinevl2g55LyTnBYhYtHptpps1Wj3trVCpwrZtHMvCEl0QYn4fG8d2+NSmn+EPt3wZpVS/C70CokiHGtm2RcEvMFoawHf9rEJSkziJdY6B4+pEZ9vpi5I4SWhHbV0qW6XYYmFnlYhKQZ6clyNRid5X22EoX2Fsqk7h0SfOGCLU7nU4XteJw81Oi3bW5yZV2ggXuj7lXJHx8iijJV2mmjSFZ5/VXoEnn4Qk0TljH/sY3HmnbkBpMCwQRgAsEkREfe7BL4JoC3iclfU8FyzLwrfcvmWm3mtmyUwnLm9nVX1sy9Zu3jTJYvB/+Djaoi00oC0ss7kCliX9B1uqMjHwLsqPWpkw8WyPnB9gWza9uEez2yZK4/5ETLLmZLZlYWXVhLQgSEGBZVuEjo+XVRvS+5oiYpGSEicpSRpnbmGPJfUOlz31AmPPvICXKKKrrmT/7Tfx6sphat1mtry2MOU8XUr0kuFlLMuqTbwbtBiYCxNSKEJlseSNAwzseg7v2eeRKNLxobNlRVetelfbMLx/GAFgOB3dqNcP6am26/0kWduyKQUFiqEO68mfasKfJNqy/Oqrulzn9u3w2mvQaKBEiJcvY2rdNexbfx1HVy6hM1ghl5UxXj4wzlBx4Izhid2ox5HqcY5WjzORWfl1qIsuyTyQLzOQK+M7PqlKaXSbHJo+wnQWBhSnsQ4hFQvf9Slm/VRCz0cJNDotmvOahnmOS94P8R0fUYp23GW6VaOTeRcSlSX/YiEWWYNIHV5qWzZ5LyRwfLpxj0avRavT5h/+lV/gcw99kYKfJ3A9WlkVHkCHh2YeaD1ZtykEBUaKg/iuT7OrG6J14x4ohWM5BJ6P73i4jks30r1pWj1daW42d83KvAi+62vBkZW7zvs5RnMVRl99C3frVnjmGf0dniJEaKZV64cItbotoqzSka6kp8NghwoDjJeHGSoM6hCtmZm5JmOHDmnP8N13azFw2WXv96lrMJwVIwAWCSKi/v33Pt9v8mJlJUCtrFJBnCaobKI9W7LzlOtB32w9W5fsjJNEu3/nWdrnYyFI1g79dE3F5KTfBF31wZ71DmQlRtM0OWvuwMnMjjX0AmzLIk7iOc9ANp5Z0WBlZU+TzOKSZrkBlm0T2D6u6+BYDolSSLY/KekJD5BiDJc/9xrLdjxDvtZExseZ3nQne6+7jCnVoxv1Mg+JwrYcQi9gaWWUS4aWMVIaPmOs7ak4lRjIRQnje99kcNfzuHteRtJUN+GZFQPj4+9qG4YfDSMADLN0om4/fr/Wbpw44c+s++UsDOaHrPHVqm4eNfvz2mtw9Kiu3tNsonI5esuXcnTDevbeeRPTA/l+9Z/xyigrBsYZnK0ycxKzjbiOZ0mqE/Up6h3dI8DKwlCGiwOMlIbI+yFJkjDVrHJo6ggTjeks7l/H8VuWELohxbDAQE53VE9SHb8/G+9uiTWvg7ubhVp2+yE/s5Z2hdIV5mS2iaS2tgdeQN7L4Qg0urpPwGyjyNmqR5Zl8Y//yqeYfe7NVo0rBHlyXkCUJHSizrz8MUGRIli6CERY0GFCrk+z26bWrtOJu6SpTo7OuSH54P9n771/LLvyO7HPCTe9d1+q2IE5NMlhaLIZmpkUZ4ajlbErrG3A8i7WWBn2GjCw+mGx/4Z2ARkL2CvJshxgCVovYC80o6FmhqOhOMPQOXHYZLObnasrvXjzvcc/fM8591XnJjlSD1lfTDdruqpueu+d8w2fECBwAsR5jGE0Jn8aVWmoLBUDrpDgTMCVEoJLNFwfc60ZLCqJzof7wH98GUTIqAgJYd2KlwYrFiJUaJU7AHaSstCZw2J7Fi0/pF306FEqBN59l/gf991HXIHXXrvCj2EzNuNXFZsFwG0SjDH1+9//91aFoSxLSl7VRniMKQiMzj+ADUn75cUBEW4lmq6HwA0wyWPE2Ua40Je6bn1dQgjyDgDsdIEIy0ov+Ljh2TgYpJDwpAsppZYBjZGXpS0G7GRACA1roqlAaTs8HK7jwtVjYYMPraoKJSqoijZMnwnc+ekZ3PPzfeieOgvZbCJ59RV8/sIuXGhKTNIYakpdSWoC8ZbOPLb3tmA27MFzbo3Ye9XJQJRi29FP0NtzAM4nn9Lm8NBDtBG8/DLQ632Rl2UzbiE2C4BvZiilkBYZBtFIS3OObLdbcmElOY3B4IaEvyiAkyepu28S/qUl+l5MOHMMh1BCIJ6fxYXdT+Kzx3ZgbaELrouJrd1F3DW7DZ1G64piIi9yjNIJBtEYy9rFdpLGKKtSKwiFmGv1sNiew2zYQ5KnuDRaxfn1JYKoaJlO6I6057ho+y30mm20/CbSMsc4iayyjyOE1d8XXKKsckRZglE8QVIkmnNWEdRSVTbZ51wgcHw0POJplVWJYTQi59+S/GgAAIzWbV+68D0fvnCRVyX+2cv/Of6Pv/2PAGBhNWbyLThH4AQIvQCMM8RZLc0JvRsIRhPeTiNEr9FFw/XpujUZmZ4XqRN1Gy0EboAkT7E26WuVn0o32mr+HJ1bIHB9tPwQ23oL2LIyQvC37wI//Skwn/t6MQAAIABJREFUHNK6bCBCd92lhSliXBquYGm4gnEyQZKlWimP9qWG66MdtLDYmcN8a5b2j8mEFJ9++EPyGHBdWvfffJOgQpsQ0c34FcZmAXCbBGNM/f4P/nAKAkMhGAcY1wuvuiy5h8bKA0pV9reuVxBwxuEKCV/6YAxIippMrPQRzDWoy451M2EmF1IIQv/rYqZUpTUxo+Nfe4ph7k1wSWQ1KQEFrcSQ6/ulYxFnQIIzRnKpFjpFJGaStiOim1KkiGFI0YYMvLgywH2/OIDFg8cgKyB/6kmsvfEqTt85j1EaEfyoqlDqa5dcIPQbmG/NYqE9i16ze2WCcIMwxcDauI9+NISCQrM/wtbDH6O75wCcM2fpeDt30lTgxRc3O0O/otgsAL4ZoZTa0OEfxCMLN5FCaoUeSvob7mWf5/V1SvJNwv/JJ9S5BQgvfuedZM515gyq0QgJV1h65EGcevwBLN93F5jjoNfsYPvMFtw5sw2h37CHNgRcMteaYH0yQD8a6uQ8gxQSvuNjLuxisUPKZXGW4uLgEi72l7E0XLEd/kopCC2q0NbSx6HfQJZniHR3vyhzOMIhqJDjgQvCzke2U58hy1OUWp0NGgIqNDeg6TbQcAM4QiDKEgyTMYk76KmteWyG9+VKF4LTOerkXqLp+vivX/xt/Ok7/wGJdg32JUE6x1lEjSoNU+I60W96ARzhIC9yZGVuleCYAoQQ8KSLbqONjuYuZHmGYTLGOCHVOAag4TUwF/bQ9AKkRYaV0Zo+VwkhhJ1s22m8VjNaaM/irs4i5j7+DPLtt2uI0IMPEnH4lVeAVgtVVWFt0sfScAXLwzVM0ogKET31IGdkugbaPzrgjJHk61tvUZERx8D27TQVeOONTX+ZzfiVxGYBcJuEIQFzTZolRPrGxF3oP8W0FOgNjLxu9H3THZLaK6C0ij+1W4BSFaAVF5S6tZKAihRB6hO6QClVBYVKT0mV+d91r1UwDskkHCnBOUdW5sgL7YxMVQsEExCczmWkUE0xwMDgcAHXcSC5Q74HZWlxsJxzdJIcD+7/Jba/tx/eJEKxbRuG330DF3c9imFJOth2AqM3MkdINL0GOkELM2EXM80u2o3wugodl0deFlifDLA6Wkc/HpIl/aU1bD34ETof7oOzsgomJfDMMzQZePbZTfLYVxibBcDXM5RSFrYy1F1+k/A7wrEuu+0g3EiwNd39aTjPpUv0PSkJr/3ww8Tb6feBvXtRHT6EOEuxevd2fP7EDiw9tgNoNjHXmsG23iLuntkGz/UslMd0qMdJpDvxCRJtPmUU2tpBC1s685gJOyjKEhcHy7g4uKQ7/LEl1AoNYwm9JtqNFhqub/X7U80FIzNGcmhnUEiKHKNkhHESIy0z7bo+NXHWcEvf8dDwfCvJPEkjjDQvwEBzlFLkScMlHOlA6Oeo9NrMwCwJ2Xc8ONJBWZaIsgj/5XP/Gf7fPW/Bc13EWYpJMkGUJVAggq4nHKRFgTiLNEdMvwy6Q+9KF9CTnKysjckEF/AcD20/RC/sIJAe8qrEKB5jnE6Q5ikYGAIvwEJrFqHfpMnAeF178ChwRpMBgGRRK0Wk5pbXxNbeIu5zW+h+sB/s7bepe38ViFCSp1geruLiYBn9aIgoS7Rin3m+LhpeAwttaiY1vQYVku++S1OBjz4i1bjdu6kYePLJTZOxzfjKYrMAuE2CMab+3V//73pRL+1CfK0wMpuOkGAAsrJEoQrr+PuFrgHMKkAIJlCiQlHqcauqdAddQaECFOExv8i5yGGYbZg20DfqjeNGdyG5gMMccMltIl+pym4QxBfgEFrxgvSbS5iZrOQCnnQghaMLhZLulTG4FXDfx5/j/vcPonVuCVWzgcErL2Dl1RcxaBKJjcbgHGDG5Ixb/KgrXfQabfTCLnqNNqS4ef1nWwyM12kyUFVon7mALYc+QmfPAcjhCMz3SVb0tddoQrCpL/2lYrMA+HqESa6nZTnzkhJ+VyfUBtITOF6d8K+tbUz2T5you/tzcwTJe/hh+nP33cCxY8Dbb6N492+RjEcYdEOc2fkwLu56FOX8PObbs7iztxV3zGyFQoVRQt39cTLBWHeD87LQmHyaWhqlntlmD91GG5VSWJus48L6JayM12zCT2o5DI5w0PAb6PghXMeF0go7WZFBAdrzRcJ1XFR6wjCYDBEXKfIi140earuQ2hvBL33pwnd9+NIDoDBMJojzhH5HK+dAMTsRkJyTMSVgmx6OpImFcYBXUEh1gQFgg1zoa488j7cOv4NBNNBSoQye46EsS8RZTMWAuWdJa3Va5CjKHGWl7PrrSAeedCA44fKTLEWlm0yCc3jSRTtoEQzI8aFADsijNEKS6emD62GxPYd2ECLNM6xN+iQbqpS9R6UUMq1w5AiJTqOFO2a24v5xgfDn75Ocq4EIvf46TQY0RGgQj3BpuIqL/UsYJRPkZQ7BaFoutNx1Jwix0J7DXKtH+8aZM7XJ2GgEzM+Twdh3vkNfb8ZmfInYLABuk2CMqXeP74ErHDDOMI4jrE/6GMRjxFlcbxg3OI5k0vb9aQH84gUBQIun5CTLKbjUm6ZCUZYoylr54GrnuNEEov45/bOsLgjMtAC4MQyJChcOwR3C7SsiI4NpyrQeDxtOQKG1os25jcGY5JLurSLvBA5g4fwyHvnwKLZ8dAKMcQx2PopLr7+Ewd3bUVQViqoAYxwATSCklPClpzdIri3uQ8yEXfSaHfi3IC9alAXWpouBskT3xGksHjyK9r5DkEkK1moRZvTVV4FHH93EjH6B2CwAfj1DaY7QtCyn8QmhhK+G9Pgm4c9z6taaZP/jj0mzHaBC+oEHKNE3Sf/cHH3v1CmoH/8Y+Y9/hHR5CWPJcf6Jh7C06zGk99+Lxc48tnUX0Q5CxLnu8CcTO3GAnjIaKUwAGgoSoO2HABhG6RgX+8tYHa/TNKDIreiDIx0E0kMYNGqeWEWmWAywHX4D5xlEI4yTsYb8bFSUY8worEm4jkQgA7iOg6IqEKVE8CU5ZSKzGggOYwRhYYxp8QhqQrmOC4c7kILWO+NgT2pvJP3ccAOSH60qJHmKUTrBJI3xO8//Q/zF+3+JbqMNT7qoQHKmkzTScCIqKrIiRZplKFRpiw/OOPKiQFHlmp+g7HOVUsLhEkVZaphQqScVHI7jIvSa6DZa+n3BMdKmbXGeaDlSF/PtObT9pvU7mGRxDY9VQFEV+rVUcLjEbDiDOzvzuOf0Eho/exdsGiJkVIRaLeRlgdXROi4OLmF5RMWdFe/Qsqa+42G2NYOF9iw6QQusKEhG9Ic/BA4coHV+1y7iCjz33GYTaDO+UGwWALdJMMbUgc+PwhGOHd+ajcJ0ifKiQFKktFBlMSZJhKRIb5hi3wwB92bDKPIY6TghBFDpEazpEn2J4xvfAKVhPeZYgnE7FbmZooKDg3MGpczP00ZmPAk810WlFHJtbW94CZxxOEJoreyaU9Dsj7Fj30e4f/8vEeQForu24/yrz2PliW+h4ExDpKBH3oAnPUuMU6DzAEDDDTATdtBrdhFeTUnkGnF5MYAsR/fjT7B44CO0Dh6BLCuwuTnCob7+OnDvvZvFwE3GZgHw6xGGaDnttGsKeU+6aDdaaPshOo0WPOnSZ2tlZSN2/8QJKgIA6qBOd/fvuw9wnPqEa2uo3n4b6V//ENmnx5FUJS49dC+WnnoM8c7H0e3OodfswJMuJmlkTcAAwHc8eNKDQkUJdZFZOeWGG0AwjihLsDJew/pkYOE/xtBRcgnPceFLD66U4FxoqCSxlzzpaPljhXEaYZyMME7jms9FTWswI6XMuJ0Ye44LwQUqVAQTynMytjLCEuazoBXezO+bLrzk1LF2pGP5AY5w4DkOml6Tuv9C2oJimIw14VZPWAXJifquj9ce3o2fHPk5BskIqVZcClwf7aAJwRxkJfkuZEVmoZdFVREESasQCaNIB/KGKarCmpgxA50VAqpSyCtDImaaV+DAd310ghCeftajJEKkOQiMMQSOj9mwi3YQIi8LRGmsfXfo/FmZoygL5GUJzhg8x8Vc2MPdTojth4+j+c7PwU6epCR9924qBnbtAoTAJI1wabiKc+tLGGjehyOk5k1oCJbrY6E9i/n2LDWQlpaAH/2ITMZWV4kfYEzGtm//lX8ON+PrE5sFwG0SjDH1B2/9SU3SdXw0/AaaLuEvA+mBcWYlQfOi0Hr3BZKcioJRPKFpQVX8nV03ZxySEZbR93wIxpHkGeI8QZbntyQJerVj251MJ/AK1MWB/vpWDMkAox3B7L+ZBZsxhrzMteKQJhHrThNT2g+BKfA0wz2HP8GOD49gpj8G63Rx8aVncXr3TqSNAAqwBGiDzw29JnohJQpZkWGUTABQ167X7GCm2UUnaF3pFHqNuKIYSBL0jvwSi/uPIjz2MSQY2Pbttazo5qZw3dgsAG7PUIqS22lZToPx9h3vig4/suzK7v7KCh3MceruvvkzM3PlSdMUxbvvInnrByj2fIg0T9HfvgUXn34cg107EcwvIPSIjG8aEZILtPwQDS8AZwxZUWCUkCuw0gmy5BJpnqA/JS9aVqXtlFMnnSAzjnbpZaz2Y3EdSraTPMMwnmCSTUiyWB8DDDbJF4KTVCaX4JySdqG9VPIiR5qTmIJR9bEKa4xvlFzWjRAy2nK0Y7u0CWpTY/olF8irEuNkgiiL9QQhpwRbOBoOJME4h6oU0iIlKFRZ4nde+Ef4s/f+E0KvgYYXgCkgKXJMUjL74to/oOkFAAPiLMU4mVD3XWvv52Vh3eqNcaUUEqpSqJjeKy23gSYZShtMkskkwAXxKFzpIvQa8F26ryRLEeUxkjwjzoDrodvooBU0UZQl8iK30/myqrRqHX3NGUdT+wHcM8ywuO8wmj9/D3w0BrrdWkXo7rtRVRXWJwNcHCzjfH8J4zSyJpWB61sSdLfZxkJ7DrPNLrhSwL59BBH64AMyHXvsMSoEXnqJFIU2YzOuE5sFwG0SjDH1v/z4/4IQEqqqUKgSZVlaEpUxU3GlC19qZRvpwBWEfWRaKSgtc2R5hiSjRdYavlx+Pg3P4TYxvnXFnyvuAUT4bXg+Ftvz6DU7SLIEl0Zko25UKr5ImGLAdMwNgdgYrxgi8c0UHNebiDhc1pvlBpdi6C6T0GWHwsKnZ/DgBwex/eQ5+EGI0XNP4+QLT2FlvgswmjRIreldqgqBQ+Y88+1ZOMLBOBmjHw21FB1Ht9FGr0lQIecmeQOF5gysjNcxiIbAaIyZg0exsP8Imp+ehOQC7IEHqBh45RVgdvamjvtNis0C4PaISlWYJBEG8RijeIxhsjHh70xh+D3pXL27X+jmx8LCxmT/3nuvDZNQCsn+vUh++AOU77yDfDzCpN3ExacexcqzTwHbtyH0m/AdD4JzNLwGWn4Tod+EJ13EWYJ+NERfu+/mZQ4GhrwsiNSap0jyRBtjkYcKQRYlJOOQkuCHQgg4GmYpwJEVKSZZgkkWIb7MG4XpZF/qxJXrSazQeHIG0ywqkOYpsqJAqWrjRwO7ZMzIOHOtDORYhSDfcTUnzEXg+HAdBxwMeVUhSidI9WQjKwoqNIQDASoSuHZqT4sMSZ7az5fB/3PGsDpaxz99+R/jP7z3lwj8BsbJBEon8U2/AU86UJXCJEuRa0iS57houD486dGEIYsRZ4kuagrq/pcEA+V6+iE5FS1lVdlJh1HUIw8bkoc2z4VzoScwtL/6LhlWFkWBpEiQFQXAgIbrI/SaaHoNe3+VqpCVVGSN0wipvnchyDhuxmvintOXMPfBfjQPHoFQiiBCb7xBa3SrhTTPsDxaxdm1C1gd9xHnKRw9EapfHwfzrRkstOdIga7fJ57AW28BFy6QYpwxGbvvvl/hp3Yzfp1jswC4TcKoAF3x7xtGsOQDYAhXwuAxtdW5FJL+ME4jRCGsfOYknWCcxojTGIUqr3Ieczb9NwOuZQx2KyG5xGJnFt/a9iB6jS5OrZzFmbVzWI+Gmlj2xScEgO7oKNjCgDMOVdGYnIQ7b+IYMFS4+v/RcRmkEKig7KZxtd9rrQ5w//uHcM+hj9GoGPDoo7j42vP4/P47kFQFhHY+FoKjLMmkpuU3saUzh4U2YYzXowHWJwOLGW4HIWZ0MRC4/k09i6IssT7pY3XcRz8agK+uY2b/IcwfOIrG6XOQ0gF79FHaaF56CWi1buq4X/fYLAD+fqJSFcZJZLv7o2Rs3csD159K+EO4FSjBnybrrq3RgVyXkigD53nooat396dCKYXJp8cRvfUDFD/+EbB8CZkjcfGxh7D89BMoHn0E7aCFXrODlt9Eyw8R+g0Ero8ojbEeDa1cZ6Zx9kVVkCtuWSDNMztJpI40NQKoQy+s2ILB8xuibpQRvCTLsyk1timDLekhcMipl26E1mmup8N5mdvEvCyrDQ0RM/HkWibUlaQK5DseAseHFILIyLrQUYDmemnJzSK3ctGC8EVWzMEk+0VZWvaWKx14joeiKLEeDa36zvSe8q9/61/A7HuCcbSCEAutWTDG7ASFjMU8uGKaBKy5Hg5JmQruIC1SxFmCKIuR5KmF5UBV2oeATCcdKS1ZmCYhhTawVHrvINELxgUVaMJMZagY4oyjrEpkZWbdjgPXR8P1NceLEYyUS+RlTgVtYkzlGFwp0fJbWKgk7jj6Mebe34/g7HkI1wN77jki+O7aBcU5RskYFwbLOLN6AaN4jEpV8LQcqoFehX5DE4dn4HABHDlSm4zlOX023nyTpsGNWn52MzZjswC4TYIxpv7N9/8IU4j1m/s9wBYHZMZF3SXJpR3fCkF6zJ7uHIAxDOMx1kbrGF9jQkDHrkm8013zL8MpEExgrtXFPfN3QwC4OFrB2riPKItJhedLeBBceS4OpklpXAHg3JKWbxSWmAxYKJAvybwmK7KrFi4ySXHPvmO4/4PDCAdjVPOzWHv9VZx++lsYS5pguNKF60hI7qJSJZG9wi62dhcw35pFXuZYm/SxNh5YTHHg+phpdjHT7CD0mzfFGyjKEuuRlhaNBpAXljCz7xDm9h1GsLwK6Xpgu3ZRMbB7N+DfXJHxdYzNAuDvJqqqwlibWw3jEUbJxJJTG25Qy3L6TTjr/Y3J/smTdXd/cbHu7D/00PW7+1NRlCVWzp3C6K3vg7/9U3inTqNEhbUH78PysztRPvsM5ue3YUErwYReA1JI5GWBfjTE2riPS8MVTNK45jzpxD8rSNGHcQZjvqhQ2eYM52SCJQUZHOZlgbFO+Mlky6itwTrU+o6LpkuuuJzTRCEvcmrgKOiONnXg86pOzqfDQHk8STKcTc9Hw22AcyoCHC42SDwzxqzLL6CsslpVlSTfrEUUMp2Ac10IOHramRU5hskIkzSxymyXh2DcegT8D9/+p/h3b/0pkiK7Yl12hYNu0EG7ERLWvsihQD4srnDAhUBZ5Cg1LNYVte8AFBBpFaFJSh4AeWlU8sjl3eFSy5JKErQoS2RVgbIikQhjYqm0s7DgNKExPAjzWitF3AJoxSHf8eA5Lk1E9OsYOD7yqtDr8ZAgRYwmWy0/xLb1CRb3HsLsnoPwohjOzBzYG29YiFBRllgdr+PM2nksDVYQpTERw10q3ph+nWeaXSy0Z9FttMHGY/IUeOstcjL2PBKM+N736LOzyRH7xsdmAXCbxLUmAAAgmSCrdQXqUtwCGXa668P0qFdyIoO5wkPLbyJwXSRFgUE0sISr6QTXTgfMRvEV3O/09QXSQysIUakKUZbYca/SG+LN3uvNno+IwA4qpqU/b/p36W9HSDScBpHoihSZlvOzUVXY+vFJPPDeIcydPg/luljdvQvnXnoW672W9R6QemrDNSQg9BpY7MxjS3cBs2EPgKJCbdzHMB5DQcERhjfQQafRhrgJ3oAtBsbr6I/7cE6fxcyeA5g7cBT+YATZaILt3k0doqef/sYpSmwWAL+aKKsK42SMgZbkHCdjO0VrekEtyyk8OJ+d3AjnWV+ng3gedTCnE/5u96bOn5cF+uMBzq+cQ/qLd+H/7G/R+eg4WFlhvHUB/eefAXv1NSzeuwNbuwtWKcioCy2P1nCxv6xJugniLIVSFQpVY+cB2CTfQEoMDt3T3eJKEWl1nERIixSF5hmZLj5nhNdvugFmwh6afoBSVUh0N7soSyo2qtLylCptZjgdNC0mM6zA9RD6TbT9EJwzCE6wHACad0DO7YYQC9BEJs0y5BV1+w2ZtixLSwI2EsoKClmek+NtnpLL+lUmpFwn64FDxmF5VSDJE7vu/t73fhd/8MM/AefkfaAULCH6ckNL33HRDTrwXRJWoGmRsnKkjNOE1RRSZsIiBCc4Vhprt+FY8wLI0Zhzco/3hQvXdai4KitdNOT22VseAZg2HXM0N8I8PwUoRa70jBPhWjraG4EKroYboBe0kZYpzveXsTbpIy9yMO0U3JI+7jx5HvMf7kf36MdwGYfc8TDEd79rIUJRGuNifxmfr55FPyIifOB4aPoN8sHR3j4L7VnMt2YROB4Z1731FrkOJwkZ1735JvEQNk3GvrGxWQDcJsEYU3/wV39COM1bgMWYzUboMbJSQHkLxNsaB0qKEQzMuvmWVYlCldogxl6n7lBxcCZoQyxLKHUrZ71+SEZ4VDLz0putHoXfSiFwszKkAOBw7Qdwi3fBweHqjlCux8LT78vOhWXc9/4h3HnkOGRZYfTIDgy+8xu49ODdmGh5Vxua8Cw18avth+gEIQI3oO6aNiOL8xQMZGY0G3YxG/Yw0+yQKscNoihL9CPiDPTHffjHP0V37yHMHTgCL8kg2x2wl16izeaxx74RpjObBcBXE2VVYpRMyGU3IsMl81xDr0HJvh+iNZzA+fTExu6+KcS3bt2Y7N9zDxkh3fDctZvu6qSP5cEKimPH0H3vQ8wdPAonTlC0Oxg//wzcN7+HhSeeQafRstr1eVng0nAVF/qXsDJaI8hGRnAVguIQ1BBQthtc68PrNVEQybWsSF0nykwXvIZSGkhnw/XRbXQw1+ohcHykWhxgonXp0zxDXhUotNkXXUMd5pxSUBe46VJB5TqOLUIUKMF1pFNPifXnOS8KRGmEqCC4UVrk2nWXigOaLNNxiqpCXmSIihR5nm1oQtXXQ+6+vnQQuA24UiItciSFTua1xr+BPjEmAFT4b1/7r/Anf/MXYAzab0BLpAoJVzgoipzc6i+DrQot1dkKQjjCxfRM2ij/gCkw0P0KTuu0eb3jLMEwmSBKY2p4VWR2KRi30KjA8Sw0NCtLErYoMv2aKOtPILSnjCs9cD1ltjwDpSA5QXJd6dgJkOdQ02shnMEkT3B27QLWJn0URUFKUV6Abg7ceeQ45j88gOa5i3A8H/L5F+C8+T1g1y5UgmN9MsSZ1fM4v76ESRpBCHJYDv0mGZdxjnbQwkJ7FrNhDyLLgHfeoWLgl7+szcu+9z3ylNmcCnyjYrMAuE1iegJgOs3GkhzQijfKLLw3TmsNjp+DOjdKb1aXQ2C+rESo2Ygc4WiXXa21X+QbNrAvcw4OIhcXqrylpP5q16q/0Dd99SO53IGCuiY06vrXqhUoQF4J5gzuJMK9e47g3g+PwB9HSBbmsPbGq4hfegGRgFX0YJr0Xekukue46AQtrTDCrepHWmSIswRxnqCqFKQQVtt6ptlDKyCCouu41iDn8iir0pqOrQ/WEBz7JXp7D2Lm8EfwigpyfgHslVdoMvDgg1/bzWGzAPhiUZQlRsnYqvSMk8h2wZu+TviZRPvsRchPPq0T/sGADuD7V3b3b6IbaQy/xjrhHyUTrE8IMleeP4eZDw9gYe8hNFb7YJ6H+JldcL/zXbSefwmdsEsa+mWJlfG6ddZdGw9IqlJRBxmqVowxqjiA5hjp7xtYDHXoMzsJNJNL8/uedND2W5htUbHuSRfjJMK6nrhO0siqyZRGmeayIHUe09330fQCBK5PRpCMoIoETyF8e+B4kIIaAmmRYxQNMYhHSLQ7sPEPsPsEE2CoFebyskBeFaiqK3lUTK9xnnDQcH0I6UJVJZKCCpfp6+eclIUUaL2pqmpDg+tf/YP/Dv/mB38EQCveOD4El6iqAnGRopoqHEj3P0dWmedsng1Ntn1Brrqcc6uoRt15WrcEI2loyR1NWpZ2wjGMx5a0W2qIFWcCjiBH4YbrgwsODq5NylLERWwViAx8yhiZecK1Ew8zsQFgIUFG5rNSCp7jottoY0tnHuMkssVAXuYQXKDh+phbHWLbvqOY1xAh0ZuBfOPb8H7zt8DuvRdZkePiYBmnls9gdUy/G7g+Wn5oBSWkkJgLe1hok/MxO32apER/8hMyGVtYoKnAt79d+19sxtc6NguA2ySMClAFvbFo/fmqqq6SpmqyLmO6aw9tDFOgUjcLDbLnhc2I9a9Rv6s+j9nUb5USLPRo3BFOPTYucxQFbXRfNJHn4F9KXnQ6jMISdNK98XvQJD2g0MoSX+j4YPZ6WVli+9FPcf97B9E7fwm57+LCs09i8MarYIuLyErCoFJSCjteDr0mZsIutvUW0Q1aUACyIkOSZxglY6xN+hhEI7Kxryo7RQi0I6cUkgoCjZE1X5v/Ci4wSsYEE1pbQePQEfT2HEDvo0/ggkFuvwPstddoMnDnnV/uod9msVkA3FwUZYGhTfjHmEwl/KHfoInVcILWyTMQn3xCcJ6TJ0meEAC2bdtosnX33TfV3c+K3BprjdMJxkmEvMyR5Bnpw49H6O07jNk9B9E5eRqcC2SPPAz+7W+j8RvfRmdmAUVZoB+NcHG4jEuDFayO161yDPQ9GFKr4NzCaUzRXVREhqX/FijKsl7DlOYMadPEhhtgptnBbNhFN+yiKHOsj4f62Y0QZ4mF2FwNUll396kLbvxEfMe3ZGBXSq2976LpNuA5JPkY5wnWRn2sReRim+bUsdZ5Pjnjak38SlEyXhQFClVYzPt0mGmwJ119DS4Y44goLK7MAAAgAElEQVR1sl+UWshhqqFCXyoiyFpxBg214S4cKSCYABcc/83L/wX+9J3/B0VJij6FkUbV9+87HgRjSHL9vKAsHEkpmtxMN7XMRJsgrpK8avS02kyvTVdfcCJk+9IFZwKcM6RZhnEW2QmQgaIa3gJh+2ktdRxSFkqzFOM0JsMxey3MSnq7mg9Qqcr6ISgFbRpJXg+MMyoGpIuZsIuF1gyiLMXp1fMYxkPkVUFy20xi68mz2Lr3MGaPHYeoFHD//RDf/S4a3/0H4J0ORskEp1fP48zqOYyTCIwxIrIHoVXVDlwfC+05LLRm4FQKeO89mgocPEg/8MwzNBX4BkJCv0mxWQDcJsEYU//2B39kl19jO05YTVgNfGtstWHjUHZRM0pBRm0CmrRVViVp4twEhn+jZn6tsDMtPcEYswXDFwX/CCbsrqT0WPmLvKKmWPkqeQLm3m2xBdrcwQluUHwBrwWuj2Veh5kzF3H/+wex7aMTYErh/MP34/Pnn0T04ANENNOSfoJzO6J2hYNuo43tM1uwtbOATqO1gRSc5hlWx+tYHq1ifTLQCQ7pV/vSaHYXG6FHOsxGT3Ajwuom/XX0DhzB3P7D6J34HJ5wIO9/gIqBV1+lrtGveWwWAFePvCxIjlOr9IzTCAA9r9BrosMlumeXEJ48DW4S/unu/o4dG7v77fYNz1lWJSZpVCf8SYS0yADANkNKVSFPYjSPfYze+3vRPfJLyLJCtW0b1Bu/geA7vwm5ZQvGaYSV8TqWBstYn/QRpUZKk6ZrwEY1NUdIMDBkZYG8IFhMoY2jyIRKaR5ULQzgOQ7aQRu9oIOZsAPGSWAhyVKMkjEmaUwwmCK3yeTlYbr7jiaxGhKpKxwErm8L9qZ21G24PgCGUTLG8nAVq+N1jJLJRvNI1MkwrdUVKigURUlO6VeZJnONbZecOvuBG0BwchaOMyI+m8aUKXyAmhdm3IKhiwbJtSeBYqigtAx0ZX+PMYZ/+eY/xx/88E8AEEwn0M68WUmKSgZuJLjG1AtPT11qBTlznxugNzB8DKaJ0DQdqV3thW2gQXsxGH8DX7pgDCiVwigaYT0eIckSyzkwvg6uVgdyHcc6vE9zPcqqsryB6YLOla6e4qZ2Siy5gOe48KRni0lHSMy1eugEHeRlhvPrSxglE+QlKcv5SYa7Dn+CLXsOoXX+Ipjjonh6F+Sb30PrhZfBXReXhms4uXwaS4MVZEUO3/WsA3KhuR29ZgcLnVn0Gh2wpSWaCvzoR6Sy1evVJmNbt97MsrEZv0axWQDcJsEYUz868rdWNznR2saZlmCrKpoGbOzOMyimagtaG3VBABARS+hFUGgZUXK5rai7VU7Dgm4+ja7JwZpaO4V1/fICol8sar1+TvyFr/gqpjkSUkqUZYGiuvXpgC9cgNNI2+33ce+Hh3HP3mNw4wSDLXM48fxOnH30QcBxrGwg1/re1L3iCIMmFlpzuHt+O7Z1F+0mZMLg/dcnA6xNBigrcqrsNNroBm00/QYAZWUD0zyzrqWp1jOvVEW8gyxBsbKCuYPHsOXgMfTOXqSE6ZFHUL7yCvDyy/Bm5+004WYdjm+H2CwAKPKy2OCyO0lJhYrrhL83mKBz+hwaJ0+DHz9O3X3z3LZv36i7f9ddN+SPGLLtOKkT/mk3XTOdKity003yBOLkKbR/8SFm9h6EN4nB2i2Ur76C6rXXkN97D4bpBJcGK5aDYAicRrHFJPxc84wqVepjp7abXCfH0DBK4xAuyQPAa6LdCOFJF0mR0nqtMf+51cbPrwl9NEmo8XLxJZllNTxK7lt+iKbfQNMN0PACCCawMlzDxeEKVsdr6EejDUZi1BWnCYY1SWRUMJVT6j1q6nqYhpi6joNA+mh4DUhDls1iJFlauwqjFmOoSwvC2psEm/MaaqNQodKkMQOhMgZnDDRhrvRr+j9+95/hj97+M3iOC6UqcjMuax6AJxwoAHmZIc1zu7ORb4GE4HLDtLxuUSmUldL8tfpahHn9dYHCtIuwgSqZAsYRwpJ2Xd29n6QTLI/WEU+RmE0hSKpGEoI7aLo+hOCIs9RyDApDImb19IGmFC6MW7RRguJcwBMOkZ2V4S+4mGl2EfoN5EWO1UkfkyRCXhXgjKN1cRl37D+GxX1H4E1iqE4b6csvQb75JjqPPA4AOL16HqdWzmAYjQEG7ZpNRXmlKjjCsY7DDeEAe/fSVODDD2mK98QTVAi88MKmydjXJDYLgNskGGPqP374V8h0t6v+dxojCiGhVKWTs8zat5sNzmJPb+ZcqCcFUsuhcSEAKFsQGOIZKRtUUIrdEuzmy2D1v+qQXFLn/SrKGV9VmCnBzb8KdQhGmwGSBIsHj+GB9w6itbyGtBng5DOP4dQzjyFrhcTnEMyavlW6yjOqD71GB7NhD7NhTxvpuLqrRBCgNMvQj0nO0HRVQ7+JGe1GHLj+hsS9UtWGgiDJEqxNBlib9JGe/hydvQcxv+8wWsur4EIi/tbDGD27C9HTOyFbncsgRxuhR7dTkfBNLQDyIscwHmOgk36TfHPG0VYCM+cvoX3mHPwTp8A//phwwgAQBDWM5+GHqdN/A08JpUjGcZxMMEop2Z+kkdX9l1wg9MlUiYHgbUNdEJRLS+h+sA+9D/ejsbQM7jhInnoSycsvYPToI1hPI4zikcZwZzaJp5xYa+gzkuIsylJr5Wd6MqrXNLaReyW0wVZDJ+GudMEAJDq5L8rCwoGM5vzl4g0mSTYJppGQDFwPgRug4zcx25pFK2jazr4CsDRYxoXBMpaHq9o1ONHNmkp3h0n0gTFDRjYNHd3d15h0s9bVCadjTbRcIZFVBeIsRqyhPNOFj5mATk+WGWPWOBKc2+LPeAEYrf3arLGyTSbDYbPPRr8uv/fm7+Lf/tUfW9iPJz00fR+u8BBrGU/iRjE7EVWVshAqmGcsOCQj92SlNf0rXfiYqauauj/72mgFNqZJ0tAwIUPWJsUfqYnbARoemYKN4wlWJusYxxNSUmKmqBL6mEIXd4T3JwGHBHGaTPE86AmbCQWZRjJbeBkneSPjCkB/TbywwPVRViWiLEGUJyiKHCrPMXP8JLbuO4z5jz6FqBTyu+5E/NorkG+8ge7iHciKHCeXT+N8/xLSPIXruJhpdND0GuRDw4CWH1risBwMaCLw1lvA0hIQhqQe9OabwD33XPdzvxm3d2wWALdJMMbUH//0z+BMGZVMO8lWUKQBXdVGKyY4N+oTpTVkSYsMZWmcH28u7TWLHkBJMweDlLQoGT1oClrMK6VQTknaKfX31fe/tWBTT/B2vF4BhrnPTuPe9w5iyyenUHGOc48+iBO7n0B/+6LuHGkJOs61MU5uVR/MGDvwfHjCtQZxxlbeky4YGBnn5CmyItMOnQHmW7Tot4Pwugl6WVXoRwMsj9Yw+ugomu/vQW/Pfvj9IbjrIX3yCQyfexqDb+1AepVGsLnOmodQFwmmaJB/R0XCN6UAyIrcdvgHGosOUId7ZjBB78wFhKfOwj/xGREEzTO5886NCf+dd96wu19onXsD4yHoApncMcbQNG66XgO+4yPN09oMr8yRjUfoHjiC7vt70Tp+AkwByQP3YvD8s1h78jGMJEgxJ89JNlhLMJppJBljUWJsjKyMohhNLQGAQYABjMMRwhpXGbWYUlVQmrRaVkQMzctcf2byK9aO6aSyVoZx4Ts+cQJaVJy3/CZ86SHOEyz1l3Guv7QBxlOabrZO8rkmwRqHXzC6DuIhlBuw+9PdZYPbF4J07uMsIQ5WOY33v3IF5OCW72+nu/p51dyxepJMiXVNFjZFA9PdcUdIgh9KWrckl1BMIc0z/JMXfxt//t7/h0ITaw0PADCQIB+tRhtMKWskVqqKmiGcEu7pKbaB/ghBU29A70t6ImKKgGnIaX2tUjs004SmQmWpcdZ0E8yuUQ0vQOB4SPIMlwYrGCWTGhrKGKThHnAGVxd/nnQ1F4D26Lwo7HlsEaFhnwBDOVVYGk8Hw0uT2seg6QcEHWIMeUFTrKTIgOEAc/uOYOveQ2idWwJzJKInHkf8yotwdz+PVtjBMBrj89VzWJ8MoKDQ8kP0mh0Izi3UaDbsYaE9h5bXADt8mAqBn/+cfDl27KhNxoLgumvCZtx+sVkA3CbBGFN/+Pb/jbwqdFK9sVtiknPBa1y44BJCj7ZNt96QpAzW32gTF1Vhu1+5ljEDbpwAG8iJ7QTphdA6EE+5EFOyRkVBrs+3caR+O6bbX32YRdw4MudlQVJzX4Ar0Vzr4773D+Hu/ccgswJrd27Bied34vzD90MJmuAE0kWr0YLgghRFdKJFJjNNSx40iUytVV5v5GVFUIi0yMAYgytctAPaDHrNNo3CpxJ2PpUAmmJgdbSO+PABhO/vRWfvAQRRCqfVhnj5JRQvvYz0Ww8jU6WFHJnJgoFMXB7TRcLVpghfVZHwdS0A0jwj4mk0sgowAOCkKWbPr6Bz+jzCk6fhfvYZ2HhCv9Rs1tj9hx6iP2F43fNUqkKUaiiP7u6b4gKo34eh/tN0A+RlgfVogLVxH4N4RBr3WYrw408R/uIDdA8eBc8yZDMzWN+9CyvP7ES/GyLLM+pYGwKt5sbYnrUiU6ZaPpjCQPcMTMaR5L/hCqeWUubCCgEQppxIm0mWIi2zK+4bgIVWOsKBJx14rouO38Zcu4e5cIbcWYWDtdE6LmjFofVJHyP9OS2tDwmr4SQa8ieFtJMTKmBKCwO196SLA89x4XAHUjrkgFvkSEuCnlh326tcv1nfwabaItNfm1D16l0rHNUmlFKr5fjSgyMIrmgT3TLT8p71dRuC7z958bfxxz/9c504M/j6850UmeUdmGmOK1yEbgNh0NTu9jHSIqHrgdmTmCUS26KIMauGp2+FnofG6NvJhOajMTuxIR6dAE0GSlVOGaZp3ggnd+DA9dF0A1RKYWWyjmE0nDKH4xZ6xGC8eKRVcMq1Yl6u18BpRC9NJaiIgb5WU5AQz49rFSSBQPrEHXFojRaco9KKWfzz05j9YB8W9x2GN4lRtVoY7n4G0asvIXjwYbjSwep4HRcGy0iyxCoGtYPQvga+4xFxuD0DN06Bt98GfvhD4PRp4vy88goRh3fswNdVMe7rFpsFwG0SjDF15MzHaHoBpKBFPEpj9OOhVXeJ04QWdd0V2DDSnBpdmq4Rs0ke0z9Ln0tTMBRljrICSlXUBcR04XHZ38YZF6j1HtRlP8e5KQxIqcKTLhzhgTFlpxNmklFN3cP0yPrrFlxDdJou4YdHyQjDZIKsvDLpvVbIJMXd+z/CfR8cQnN9iLgd4rPnHsepXY8ib5CLLwM5cjb8AAKcnjEq+NLDTLODO2e3od1oUTdQ4/pz3Rm1sAkQd4Ak/WoZPl87Tvqub5OTqyXkDheI8xTD8QD5gX0I3/sQ7QNH4Ocl5MwsnNdfB3/t9SucKCtVIS8K7bCa3XSRwLVu97Tk6eWThRsVCV+XAiDNMw3nGWnoSAoohWBpBbPnLqL9OeH3nfMXwMxiYLr7jzxCr8kdd1x38zYStDVJl6A8JolyhEToN3V3v4mm34CjE9koi7E2HmB90sc4jfQaVICdOYP2zz/EzIf74QxGqBoB1nc9jpVnnsTKHYtI9ETzauphBlpiEzPoZsVUkmaw3oaIaRoo9L6gxExVCrHWxI+y5BpGWwRVcnRnveGSFGe30cJs2MN8axaccywNlrEyXsfaeB39iCYthqBKB2JaLlh/joRLfKKq1Jr8GXI9WZ1O9g1sxtXqP5xxSvb1n8unAZcHu8pXYABTzKBRwBgVUlyLPJD0JZGUp6eLjhAAqKmQa9J0rosysylwrZxjCLpFVSAvChRVTvh8KPzr3/oX+P3v/3s43MCTXCQlSYlyRhMAQ5iNssTue4Jx+K6Pjh/Cd1yMsxhxlhC0UdUQJoCgq6oil2bzaCw5mu52g+Le5bsaKRgR6dcVDhhndtpuFH2MF48URAhueAE4GMZphEE0QHqZ8ZjhoWxs7HFUFcnKliipEcg2FmlQsJMpcx9cFxjMypxSUeLqa/EdD6HfABjHZDyAPHQYM+/tweyxTyDKCvFd2zF48TnEL+xGY24RRVlgbdzHejSAUjQVmA278BwXkS7se80OFtqz6DXa4J98SoXAO++Qydjdd9cmYzeABm7G329sFgC3STDG1IHPjyHO4g2kJbJvD9D0GqT97BBOdJJMMIwnGCZaoSOZYJxGOqkz+vtKd7RqmTsOVo8+9VgXqPGadiFUCtU1UnKDdzfSbmaEakhnirEN3TdzLxwcQusvS16TWwFotQ06f2k5CKSl/1VJft4uIZmAI43mNUeUxqR5fTPv56rCluOncP/7BzF/8hxKKXBm58M4sfsJjBZmN/woAyCZBHidQPiOh7mwhztmtmGm2SHzIv3Mi6qyvJK0yHT3McMkq81yGGMIHN++HyWX1u/h8iAzuQLpZAL/4CHM7DuM3rHj8BWD3LoV7hvfgfyNN2jDuImOkemGmiJhmp8w/W+Xx4YiYbpo0Z2y0G/+2hUAJhEfRCPb5U+LDDyKEX5+Fr2zF9E+dQb+ydOQSUKf8mZzoyrPjh30b9eJvCxsom86/Oa15oxrKE/Ddvc96dpiq1IVhvGYSOjjPpI8RVZmyPMCZX8drff3YH7PQYTnLoJxjsG3dmBp1xO4+NA9mCgy1TOJMDClbAOTx001LExzwyZWgBCSYJTCdMip688UQ1IkRG5PU2SVkW/cGBwcUko0XA+hFyLUvJp20ELoNZBXBSZphP5kiH48xDgxpONKJ3uwjRgDCfIcT8OLavIxKfPUniNmPeWo1WtofaUEv9DJp+ly18TX64dJac3xGWfgSkNbOLPTZUdPNCTnUKZZVJVayagmFdvnxGiHUVoMoaymk+lrXQtdx7/6rf8ev//9P9zwkwxEwqXJpbDkWCLaOpZ3YYjWAO0pTT9A22+BMRAuPqsdf5WqFZwUQJ1+XRCYQkCpGgJbqgqVmc6w6SuD5s4RLt9zJBjjlpNXVIUlYUvjguz6kEISBC8ZI9M8FQBa5Y+TEacuDuoGHrN7MSX9RCLmmn9heB+1QlVdTNQTemahok0vIM5X2IUjHAyWzsF99xfovbcHrbMXoKTE8LFH0H/+GWQ7H4fjB4jTBIN4iLTIIbnAXGsG3UbbIgkcITHfmsFCew6NCsDPfkYQoePHST70xRdpKvD445tTgdswNguA2yQYY+qPfvpnhO3WFuOOIAyhUYxwpQMhJBouKUY03YYtDshdkZL7vCSXx5HF4NaduihPyaSrrL0GANgF0hYEUNbVstCwpOsv6RTcdDjALVyotN2VCmVFkwN91/reoY1XOISQuqPBrPnOtMxbURbItDTf1ylc7pDzpSpI9ekm3tvtpRXc//4h3HHoY4iixKX77sSJ53di6cFrJ9S0gQndXfPQbbQx35qB62xUdZBC6kRLodL8krTIMEkmSPLaSMiRDjpBG71mC6EfblCaKqvKJuZJnmGcTJAO1tHYf4hkRY+fhMMYqu13oHj1ZRQvvwi57Y4rOvhmU76ZsJAJXQxcOVHIr8Bvv7TjGew/dRSdRovMq4KWNc+5XUIphSRPrULPMB4Tge/CEsJTp9E7fQHhqTPwli7VBoJ3370Ru799+3U34cq46U7JcBrYEAA03AChTvZbfhOB69vPqAnS2x8SWXy8jkirmRVlgSyeoH34IyzsOYiZj09AABjfsQ0XnnoUp751P4au0BKVlel5WpUZgN67pqlhoBX0M7yG4uipoyepqy6ZQJKliPIUSRYjzlJUKG0TxITBznuOpx242wg8T3deOUqddEZZrLkHxhG2Lk44M5Acgre4khxqK/2ejLLEyldOiyQYKI/Q65+BfJous52U3uKElLD8Bg9PCT5TxOsyynCMczBl1vnSJvgmgTdqPgAl2hWU1fjfOA2+Mux96Ymhw2sxi6Kkde5fvvnP8T//+P8kqGSeIS60utFlx5FcwnUccGiHY5PYMq49IVIqFPTkx5MO2kEToReiqApEWYokT2p1JvM89fTDFEVkmKmnIvo1raCmOv31NQF1B96TDnzpwXd9VFWFKE+suZspXWl65MARUqsgZUg1DMzKlnIGxgTMp8pMKgQXlr9ioGBMw0zBYb0pqIE3XQxwK/hhiwJtLjbT7GKxMwdfuhh+fAzOT3+G7gd74YzGKMIm1p59CuvPP4Pqnrvt2jBJY3BOqmBzrRk0vACTNIJSCqHfxEJ7FnNhD/LMWSoEfvITYDIBtmwBvvtd4DvfAWZmbul9vBm/utgsAG6TYIyp/7T/R0iy1HY3pg1Opp0Gaym7muzV9AK0gzY6DUpgOo0QTa9xxQZtEqQkTzBKIoyTMcZpjDiLMUljImGZkbJxOATsiLhUpXWLpA2juLnONVB35riwXZiajFXjS+21QllZOzBsuHcwhqok8jF0J8T8voJRWKiP83UON4pxz56juO/Dw/BHE4xnO/jsuSdw+slHUHg3lmszsIK230IvbKPlhzSOd3xSnipz5EVhXyuD7Z2ksSYWZhYq5Gp4ROB6CJzAyhm2giYRErmAUgqr4z76Fz4He/cX6OzZj9Znn4MxjuTeuxDtfhajZ55C0SVXWDPStuZl2klzmhtwNafja8XlRcJcewZHzn6MUTyxCV3DDXQxQJ8nVzpf7MX5gqGUIijVlCxnMRggOPk5wlOn0Tl9Hs3Pz8BNc5KHbbVqzL5R5mk0bnj8DQ2CLLadXVc61NX3mmj5DTS9JuQ1TLvSPMPapI9Lg1WsjNd0p58Sm6osEXx6Alv2HcH8oY8gkwxJu4nTTzyEU4/vwGCuOwVjNPhwQYmeJm4aOU1ai5jtwNLr72i1Kw+OcFBWOUYxqQclU4pAGzvMAGMcDnfQ9AJ0GiEabgDOOeH9NUwxKYhrUFSl5WVNk0aNdrwvPZtgUaGWIc5jFEVxVRgRbKEgwJkkLDpTdi291X3NwImEkIQL19ASxjcWe5TY0/Oopp4LnW7qCal6z6Hv2G9M34X+Sk8SNJTFJJumKw3AJtwApl4713IA/tef/jmiPJlaQxx4QkusZimKyySWzXvE+DaYBNmsLeZzbe6I3Hc9tIMWAsdDXua2ME2023ClKp34c5KM1ZMBI7tNKkUcVgBDF0hGNtQUBqYYpTWQIJN5SZOiTIs1KJC7PdOKQWYiZMjMpMZXbejkKyjNYakVmUyRaEYbQkjiQNj923AWNGdACMtDMIZoUhe9i+1ZbJ/ZCp8LxO+9C/n23yA8dBSsKBDdsQ2rzz2F/rNPoWq3keQJwbHKEq7jYL41h5mwg6oiyWjOOGbDLhbas2gLD+y99wgidPgwiQc8+yxBhJ5++qaMADfjVxebBcBtEowx9e7xPTV+TzqoNCQjybU3QG4WrQxZnmmyW7lhk7TmJ5x0rgPXR+g30Q1a6Dbb6DXaCLwArqBzGCKSCZPcJXmKKE3IzCaLEaVR3c3TRlJFWetEF1WJTLs11sQziptJwGuco/5rejRLBwGl9uoyGEC9qZpihTG2AUZl1UEMCcxuTl+v0oCVJbYdO4EH3j+I3tklFJ6Lz596BCeeewLRTOemjmEKLKNA5TmudRRu+k20/AAtL0TTD8A0zyAtUvSjEQbxEIOIOtNGkci4dgK0+RvCIG2QBGljALC8jOD9D9DdcwDBmfMQ0kH12LeQv/wyJrt2IvEcm7Rfz8RsGuZzOTfgWkWCSdwqVWGcRDbpHiVjKxMZuD7aQYhOQFMC6u5+daE0Wc/Kck6G4GfOIPjsFMLPz6L9+Vn4SytwBEn2snvu2djd37btut19I8FpnHRHycQWzYJzhJ4h6TYQek3rLHutax0nEc73l7A0WMZAw48MWbMoSzhLlzC/9yAW9x5BsD5A7gicf+R+nHriIazcsw2Km2aAhCOEfg02JqnTibZk2ijJ8UjdRnqooDBJJhinCbIi2ejOq8MmiIzD02Z4oReAgSGvCsRZirzMNviiAPXaYvT15ZRUo0nMiqpEmmtH3OrqniNmrTLmjKbANDLLt7L+WIUYRoo1JiE1CaAxzaoUdatNwTIt7QnUE1fzb6abXe+nzHLH6jNvVPex92Zw9VNddANhEULA5ZqXox10jVKNaRr8zgv/CH/xwV+i5YUoqwKjNMJI81dM08t3fThMIs1T0uC/SkFwOaeDpFeFFTeYbqY5wkHg+Gg3QvjSs947URZPychWYFoNifxX6CYrVKhKRZ16PRFRWiGvfmaGW0DPwhESTddH4AXwpYs4z7RHhV7L1EYnambOU5lj6+JJT2ysNBGr12vz2lRVZac7ghNHxBja2T0RhkRM8DjaLys9AXOxpT2Pu2a3w08zFD/9CeTbfwPv1GkoztB/9CEsP7cL40cfRoYKcZ4gyTO9hjSwrbuIVhBinEYoq1ITh2cx35qFt7xSm4z1+zQJ+M53aDKwZcstfBI246uKzQLgNgnGmDqzesHq/N842XFgxoF5USAtU6RZijjPSG84S5FX1IWbxmwaUpyxkSeFDup0Nr2G7vy6WtVCFwnSsURKA+tINYl0lE4wSSJEenpgzMtMBy7Pc617bDr0l3WaLC7z2q/lhs0HZmTL7PVMFwPT+tXXC6MIYroqlSId6konfL/uhOTe2Yu4/72D2H7sUzClcGHHvTjx/E6s3HNtGIjd7hm37xFfJ4JFVb+GgDHAkZbw1tJFZisIwZlAViQYxOSEWlaVdgWljSnXcIqkSJHlOSyiWycx/sVlLBw4gi0HjqG5NoD0fJRPPQX++uvgu3dDBA398wRbyIriMk7A9YuEDTwA6WBLdx5FWVxRIFSqwiSJNMZ+jGEytgmi6Sh29ITgegnz1cKQYk13f7S8BOfTE5TwnzqD1ulzcLMCUkjwTgds2mTrwQevK7lXVmRaRBM+6u4b3wcGhobnT3X3m1f4P1wtsjzHxcElXBhcwvJoDVEa6ySdaeWdHEW/j933aX4AACAASURBVNmDx7Bt/1H0zlyAAnDp3jtwZudDOP/I/VCupzvAXCdVsBCXSoOzGYPt5vq6s+9KB4IJJEWKKI2QFDlKrTI2LURgkk9DxnSEdtMGp6ZFRaZ9VTWt5mKEE0yiV08Yahy2ImheniEzso3XCQFGnc4KYBw3xMNfLbjprOtuPhR08qf9P+w6OpXcX+UENjE1KSzTLudT0Bcwk+Cbbjc2fk9h6lqogKeDKW2gpd3n9TMz013zGpsg8rQLT5DTbl6V+M0nXsNfH/4ZoiyxylFSSIReA6nxjUgmyEoi93ItDeowgShPkOQJiiv8F5gtAphuONBnW6EoqalmJh+CMTh6gt70GvAcxypNjZMJkiKbKkjNlEMA+j1g3IFJNtQUUXUhZZ+HnhYYz5am00DD9yGFiyiNCFZWZChLw1mgV8QUGqaQs1MopQBO2lbmfEaRyUB5rSSqLkIKVZIMbFHY6zaKRpJzONKhPVD/m++4WGjP4o7eFrQvrYG//Tbkz94BGwyQN5tYffoJLO/ehcnWRb3fE3zLEQ7m2j1s626BYBzjlBTGuo02FtqzmPFC8H37CCK0Zw+94XburE3GnL/baes3OTYLgNskGGPqavdTVQTBIJfWy7HM1052TOfVEIVS3dGPswRxkVjnQTvKBLMKPkS2osV6upMauL4uEDw7fidrcweOVh0AgLRIaWqRJRinEdYmfayPh+QumkUaG1lSP/+ye7YJPuNgCpaAdqMCQfeY6w3HErum4EU3+1pgIz6Xfvf2e69x25dS10xJ/OEY9354GPfuPQo3SjBcnMWJ3Ttx5vEdqJwb49wF4whcH1u7C9je2wohOPKcyGyjZGKl+gz+1KpcMA4pSRrRKIEAtUrMls48FtqzaLg+oiwhzHkaTRWT9LVz8hRm9h7C4qGP4I8mgO9hsPMxjJ99Gulj34ITBCQ9qN+LjtYaF0JA48NgsMyG4DztdAwQB+Dnx/ei6TfQ9kO0NPTnch6AUgqTNMJgCoe/sSCgYqAdhFe4MtPvxvR7kyGST4/DPfEZJfwnzyBYWYXDyRmW33cfmFHleeghYOvWaxZtZnJgVXnSCaI0se9XQ3I2MpxNr3FDToUhGK+PB7g4WMal0SqG0UibXxUQQiAvSFe+yBLMHT+J7fs/wtbjJ8HKCqP5GZx+8hGce2IHsk6biKVcEmxPK9UYSUXzCSPsPr2ODpeoVIlEd9cznbCZ4twkVrUCirCdcaMuU1XllPlTrZhChmDMdvGNJC6gnXMVwTCKMr8isbxaGJy9wY5/Eaz+dH/dKrnxWplq4xKprvjSQH2sSptO+KGqOrlXbKoQUPaabTdfQ02MGy5NPrg9kfm9Gopay2SaLrQr6y6/UgpFQe+XrCpRaO6NEQww9/Z73/td/E9v/W//P3tv+mvXld2J/fY+853eyJmPIkWKgwZSUmmyVe5KynPZaQQOkARJGgkagQMECBIY/heC/pI0ko9xN4LkQ9odIOikgcRtwN1ul11VllSaHilKJCWKszi96Y5nPjsf1lr7nPtIioNIieV6q1DkE9+95557hn3W8BvguR46QQvtoIWQZUBTka1l/5I0z3mCNaZnniITxcgN4DouxmmMpExqc7fG8ZXGl6jtSOFasIqRTEVchybw7SBCK2jBd1zkRcG8mBHSPLOTG5q0Oyy7Tf8mxpngxNw+37hb3zx1mnH6kRei7bfQCVswAEYpyeiSwRx5PaACoOX6gJ322KtHuAvyP6Ua97miYo2LN8U8CjGyk8mZTBZENMF1PAicNnA9zLdnsau3gMWzFxH+zU/gfvABTJZhtGcXVt54GauvnsAocDHOJtxwUGjxs2N7b8E2Nl3tYFtvAdt7C2gPJ8C/+TdUDNy6RapBP/whFQP79j34TbQVjxRbBcATDKWUA+B9ANeMMb9/n9fetQB4kJAioVkgUMFwZ7Jj38NEr7zKkeZEokoFWsQLdHNRaUqXudqxVuoeFwJE8HKs+UxzemCLBIeIyuNkjPXxAGuTdawMNzBJYxqlW1fjCiWMffLJZ9bEVPrO1NWri5ivPb5Tc4QHhSU9eNHwtIQDDaOmXTcBQOcFlk6dw8F3l9G7uYqsFeLC917AhTeOI+l+vRLM1Hag0Q4j7J7dgaWF3dgzuxPtIEKSp+gnQ9J1nwy4OEhqicKqMQHiTr+jtU1Q51ozWOjOYjaaQTdqoxu0YRSQZAnGWYLbG7cx+fDn8H/2DuY+PgU3TlC2W1h/+UX0X38VyXOHoJ0aGytwjWZn22HcuOd48NkcDVA4uGMfzl3/EkmeYsSENqCG/fSiLnph544u/1RSLzh9/p4i1aiggOEAOHsOAXf425euwi9K2se5eTjPv1DDeZ57jjS17xEpwweGrMozTsc24XG0w4l+y3b4H4S7IDr+g3iE1dEGbg9XsDEZYpLGyMuSO6A0aSE8fIHZazextHwGS598Di9OkLUjXD1+BFdffh7j3TvhuqQkU7E7LSndlBB4Cd3PBEHUSqOsCkusJWnPyiY40sxQbPyklYKp6A6uUFk4nxBTpZnhKIdN8BxbyAsuOudOq5Be7xcyfRSIhzEP39XfHMKJMkamF/Tvdlpr1yr6U6m62yuJPfj9AvdXEDdb8Otlv2HvDX6XLSyUqg296s9DLU/JxbzPykAK1FgqTIGiKPkev1Pauf6eYgg2XaC72sEfvP67+Oc/+5fEQytSK28pRlttn7ryaZFbnXyPGwtxlmGcUcFbcEHgaheRF0BrB5NkjLjILOxq87GX7+dqx66XwhmRoofEN3yeclJTIC9yrE/6GMYjpGVuybkCO9LckhHNfvm9nCylGnCfxvRb4JEdv4VWSAIfWZFb8m1SpFaMQxkxu6unp3yy6bw2YK+WM8APNJnmyOQGgFXfy8qi5vUpKmNcPgZynIQftEMF2HnyM8z89D3oL79EoYCNY89h9c3vYe3oIfRzQgWIoVgv6mD3zA7MtHqIc5ogtoOWJQ57n5wmrsA775DJ2NGjVAj82q997Zq4FY8eWwXAEwyl1B8BeA1A70kWAA8SlammCoIplZS8LhKMMRbbmvDUQVwnBbdK+6u53664u6EshEK0iAWL6HGyJYutSM1Jx6g0BGOSBCzjrl9VVoiLDFmRWs6BTCuE+CWJlqscFBXryJd5I3H5po9pCoX6gSp421/IMAaLF6/h4DvL2HXuAoxSuPb8IZx/6wTW9z4aDlODfAJCN0ArbKHjtxhSxuZhng9tgGE6wcZkwI6emdXtLqqClStgz6nPTsaRF06rXoUtmDxH8fP3gL/+Mdofn4LOMhTz8xi+9gpGb76GZGkPKu76i+mO64jcHitTVaUtTN4+/Bp+eu59eI6LVhCRNK0ByzzGtnghCUiaDnTDzhR0RvgDt9Zvov/ZJyg/PQ3//JfoXryC1uoGXfN+APfgQQQvnoD3wosE69m5857d/aIsp6E86djKnCpFbrqdoFblCb3gvlAe2m6BYTLGMBlhYzzE7eEqhvHYdh6t+ozIAvM91NoYYOnkOSwtn0F3dQOl5+Lm0YO4/soLGB49DMfzYVSFrOCEsCxsyV03DrTVr2/Cf5r8HSuDCMFE0zBHjJuoQDCNJIchay6RYAFjTe+om8/Txoe8pmXfH3aCuDkk6bbTTU7CjN1oIxNv/IhGsi6Fh0AWa7y7srh3pbRtmpSmYjgJHVuS8K3hljJlaHIkXMeBoxyboJKss5wnUzvpNiYBQvp1bUPI5zVe2+lIZeoGlRReEv/VD/9T/C9/+X/AdVx0gzYc7SAvCEIqxGCA1gWCqAbw3YANM2nyTc7NDpIisVPusiqt70PkBoACQ4mKexcEwq1gEjNgUFiIqYHD8s2B66Plt9CL2gj9AMN4bJ2cpXlGE4ca6iZFerOxJlcHSYAS6V1eQ3AjBZ85K60wQsuLMEyI4D5KaZIuij9yjdTQHlj4kSj8KSYoQ7gKpp78kOwsUBnAcRQqA5JwzrN63/kYBH6AlhfAQAQaPOzYmGD3h59g7ucfQW/0kbcirL52Amtvfg+rO+bRnwwwSRNUpoLnuJjvzmJ7d9HKujpaY749i+29RczkFdRf/RVNBa5coeT/Bz8gOdFDh+65Xm7Fw8dWAfCEQim1F8D/DuC/B/BH33UB8CBRFwk1vEiKhEmaYJyOMU7jKTnFmlxVj+XlgV+TK42FF9kHtnIayhX0cJMJQ1VRJyItUuRladdKrRRKY5Dmqe06NeVAtdJ24uA6LhylrX51xrrF4o8gD7FvkswL4Xpzt/1phAvdLVprfRx87ySe+egzuGmG9b078MWbJ/DV8wdhvqE6g9OUnuNOE43yA4ReaIs/33GgtYuyKDFM6eGWFiklLIIXB5HcalwvXWe+48ErSsx88hnmf07SktoYYM9ulG9/H/mvvY142zzijMiDzfvL1Q4in/bj6O6D+OLmJZSc8DddbFt+CI/5NlVFsBR5yFemgj+KEX55AeH5C2hdvIzo0hV4eQFXu3Dm52GOHEHy7AFs7NuF1Z3bkLl0Nfuuh17YQa9VTxfiLLUQB5mgSEy56TJUQt8HygMAIh86TMboTwZYG/XRjwcYcVEhk78mTr0+TgZummHPZ19iafkMFi9egwKwfmAJt187gbUTzyP1fRRVjiRLa3NCiCQmwW2UQS2lKNs3YtRF960xdH6NMTYRgqnfI8B0gTaI/whtihxL7gaFfNCQFF1w8PLzo22r5hXUCTd/inTq7XixxuJTUwV2giWcGeqWu1bWsTKw7rFlKWpsdZJuP6P+gRI/1PAexVMUAI3zXtX7y6/TDaUaaeTQeaVNk9s7cSvKTdPYJp/CZ+K277oki1rmyIoC/8mv/n38s5/9P3C0h0k2QcZcFVe76IQteNpDXuX2vqyJ6w41BwLS2BfvBQCse68wSRMk3GQoTWl9FSIvQFkZjFNK2O/G6dC8bjmOA5lagSGpdP7oOhSuXDdsoxt1Ebg+bg9XrdmdKOnVyn10zZclnaemjCyMsdA0CNCHC0Qqih20vBDtkCBDSin0kxEmKeHvKwvhgXWMbk5jmiIYUrhpC1+j39kJG920tG67dHzFONJyfwCEno9O2IHvuKhg4FYGO768ij0fncbcqTNQZYF4z26svPEKNl5/FStOif5kiCRPACgEno/59izm2jMWphV6AUGEuvMIz1+gqcBPfgKkKbB/f20ydh+H8q24f2wVAE8olFL/F4B/BKAL4I/vVgAopf4QwB/yf37vaf4+Es0iQVRLhokYkZGcaNHoPAmJiUbWtPiZql70DC9y8qCjDoWyUwKtHZiqZLOnlC3lKSRhyIsChSGnyYI1lUmWjroTkR/AdwIrH5rztiSZk4eHLJalqagweEiVjnuFFArgh+vTNj1w0wz7Pv4MB989ifZaH3GvjQuvvYSLr72ArHVvsunXhWCrxehNmpu17CAsJlkKQ0drTjDoAVhZx0vSLg8c4pl4nuirVyhLwbLm0KMx5k9+im0ffYL5i1ehASRLezH5lTdhvv99+Dt3kfuqclGZCklBhPnXnz2Bn557H1ppxslHnJQSUXeYkPlVnkzgXLmK6MIlhOcvoH3hCoLVNUreXBfZviWoY8cQPP8SwpeOo73vACcQFCK92Z8MsDrawOpoDeMkRlZSl02I+Z2ghbn2DLphx8J5HtSXQIjL6+M+VkbrWB/3Wb0rxSAe8zVfa6Hb8yX4YaWgygrbvryCpeXPsOvMBbhFiWTbAm6+8iKuvXIMg24baZnbCRu9XxJLzZ3EJvyBguQMiXgpKj9QArZA4x4EXSmqTmIlARP42KOGJOei7gPmCNwfRLh5O02qZw0ulL+bSjnyReVzLZSSfQt8p3awVlC2uZFXBbum07omZolms9uvqgsOMNafJg11cTH1GtRNGpnIyD45jsOwFFEqMpYbYZs5DWiJYP8Dz4evWVVOE3E6yROMs9hKqzYd7CX+6Hf/S/zjf/VPoRS5mAt81HUcularAsYQNr/tR/BdD1lRIM4TxGlMikAGljQe+iwHK5h20HYB0HuyhH1WKp5Ok1tuURWIUyoW7nZ9CZmWim421FQ1aVopUj0SvkInaGO+1YNRCjf6t6wRXsVFFkHUGlMbvieMqexFpFB7tlT873LmHZ5utPwIrSBC5AeIU+ICJWwqKYw4AzbUbBRnVv2JrxnHEeiSFG/y2XWDi/gKEaqqZAJ2OjVNCRwf3aiDbthGUZVwRiPsPHkWuz44ie7V64DjYPzS81h763vYOHYYt+MBBvEIWZlDgUxPZ1r0fioOyMF+e28B88qH89OfUjHwxRdEFH77bSoGXnxxayrwiLFVADyBUEr9PoAfGWP+a6XUv4N7FACb3vOdTwAeR0jS1J8M0Z8MMWSyqCgEWIKWEgws0ctEgq9ExWPfulsBGIsh1TxSriFJ0q0CqzMolj5Lp4jOYJiSq10Enk8Oy34Ez/NQlSWr0uTW4dCa/HD3sqpKFCWZmRXVNzchE06CJeVBffeFgTHY8fklHHxnGdu/vILSdXD1pcM4/9YJDHYsPvJmtSKfgSgI7cO4YGx4ZV1DAZmdyLGpk0EunKT7htpcyHeYaOx6cLSLyHMpwV9bRfvnH2Du/Y/RZUWa/rP7cPuVF7F+4gWg17Na3b/x4vfx8y9Pwnc9lGWJOE/oYby2hvbFS2idvwT/wkW0Ll6BykmNJO91kRzcj+zQIVSHn0Ox/xmYIJhyRRaYTjuI4CjyvkjyxJIYZYog5EAxV3OYW9OUHW350V3hPVmRY3W0jpXhOtbGGxjEQ7qWM1FZIjfdutNYq5mIakvF5nzdGytY+vgz7P3kHMLRBHkU4vpLR3Dp+BGs7F5EyZMzSRyEMCpQAlKiqVMILSolDHmQ4q9ZFNSqYI93bibFjPAHjJGu6MOm+vf7HPAkQ0qLWsVItOpDL0Q7iNglWbNyW4Y4T8lrgLvhpST4QigVToOqV4n6M6VLjEZCXsOnmj/L/gl8SIGOh1G1H0C9ZS7mGrAegfEFPFWFkjWWoTpZTFKTpchS1wWKfK5MAOWe9RwyBfsP3/w9/OnP/qWVnc6q3BYIriMQzwCOdlFVZB4mCX/LD+E7PgpTWBUhmUi7qla6I5hpZbvvrqYGQJwm1utBuuK+6yJ0QysNmhbZXa8XKeY0cyLsRIcn4IqLKd9x0fZb6LV7mI96GKUT3Ojfxsakj6wsbMKvN021ANhiQTWKASsTKhwUnqRp7qYL7NIYg3EWI81SVKhoksPXnnzu1EROzlXjnqns1A322BkuwmkCE8DzPIwT4ijIPkmx1Gt1Mdfu0bG6dg073j+JnR+cQjAao+p00H/je1h/6zVs7FzE2riPEcsuO1qjFYSIvAihF5BwRCTCEYvkHP4XfwH81V+RydiuXVQI/PqvA3Nzj+3e/mWIrQLgCYRS6h8B+AcACgAhgB6Af2GM+c++5j1/JwqAe0VW5JikMcYZLRbjZIJROuYRMiXUJNdGRN+S3SIFj5wVBQruiokluiyEBRP7JPmQ5EY6SVpppFmGSZ4gKzKLPVaNB1Po+Yi8EA6P2gEihKVlzljLEqWpJUaFNJWXBbI8RflY0xfYwuC7iu6tVRx89ySWls/AKUrcPrAH5988gRuH9wMPAD25VyilEDoBZts9LPYW4GsHaZEjZudMgmrlNJXhwk3IoDQSV5bAXk9ojCVU0n/VnBRHO+isbmDXqbPY8dFptFfWAMfB8Ohh9F9/GWsvHsPv/+rv4Z//9b9AdO0rdC9dw+yVr0h3f31AD3bXRbJ3L9JDB6COHkX4wnGEe/YCWiMvcsbTjy3BlPDtFTsgUxIhXdiWH2Gu3cNCZx47eguYbfdsASDqO9YLgPX1AYIstYIIGpogedkE62OC8pCjaFbDMcqa+9LkywRMgAbDZcqqRDAYY8/JM9i7/Bk6N26j0ho3nnsGl44fwY3n9sG4LiymhI+rJAWCVaZioE4QoDDlJtvslj+JkHNP6iYGaBAwH0dIciy8BIfVbyShDb2AYVkRtHJYSYjI73EWY8QiB4J/b8o5ypplz9VdPt1xNKYLGm0nq652YEANEKg6Ea0JvTV0SgoH4UxQYe7AZ/Ulq23PSWJekkBEU21ONPJlSgPZJpQlabusMU9KXLRW56Xo0E+fFeEAADWB1yiwFGdqnXsBWLdnKgiosBSFOFe7CNgksCwrKgjyhCRfG++tyayVhSi62mUSOskS01SBZEx9hvhYkYx7TggYwjUFazNTBZirNQIvQDtoYbEzh8gLsTrawI3BbYzTiZ2c20Qc2t5609wL9lngbYs7trxOPBgCJ0AUBIBRyErm1VXGQimhFE1mCpHq5iuRz63lBii9qUho7hcVVi0vQhRENDGNx1RU8XFyFPmMLHRm4ECje+ZzLLzzPhZOn4MuKyR7dmHjV1/H+muvYBg42JgMkWQJjCLOQeQF8D2/djDuzGHv/C5sDzrw3n2PuAKffELPpTfeIK7Aq69+o+fUL0tsFQBPOH7ZJgAPE2VVUQeJVQ5E7aDZ6fWbmH7twNEKWVHYzhMZ+eT2gUvSaQWTACtO9BnLqD0EHmmKS4GRNbr98jqSQfXQCkKEbkj62yxdSEkddY1oJ/khXBkqUMrSjrsr1JjoX9TwJgn2f3gaz753CtFghPFcD1++cRyXXjmGIgzuv4H7hJzj2aiHnbPbsK07j3bQgjEVxg2IWcxdRpnOlFUFKANTGZvsSqdR+B8GBmVZIa8KnjSU6F6/hT2nzmL3qXOIBiMYz8Whn3yAL3/tDThFAaUUsl4X/X17MHxmD8bPPoP0mSV4YYsLSpcTDseqdoiaUF5kGKUTq8BVmcrK6UUMbVCKDKSka1sTi8lDIWIib14WGMYj3OjfxlfrN7EyXMcwHTV8NRr47QbOVzrznuMi8giKoByNOI2521wAaYYdn32OvR9/hsUvLgHGYH3vDlw5fgRXX3wOWSuyiagkdjCkfKO44ykwPgDcVf92wuLrUcPpLETicWzbdqxrwifJIZO7ta/JiM0YgzTPEecxJmmMOE+YEyUdfD4/pi6fapiQaUxORLcdqDv2AtGhAlaz/GOz4y/VlkwCBE5FBlAOFMujujyJsHAT7t4XXGQXVUHynDz5tPvPcB/hZDQATTYJlKK2WRRKCKSTjPgCRG6A0COIDhn2UdFxdPdBfHjhFPrxEP3JCP14gCTPIAlo4PrQWlsuWl4QXE4mI0JCdTXJW5bsVeI2zl9RVUjyZIqnIhAsl9WIhIMixXJZFkjYEVpUosgxnSYKAiXKiuye174t1iyUjc8tHzPPJfjRTNTFQncOpjK4NbyN24N1mpibEqYy9p6TSRbYDtNIE0tI4KLos0n8QkNb0Q1HOyhBDt2lqZhb4gCmQl5VyIqUfC8qIs7ba1jxtcoXskDJhIdENUMF8g+ggjgvC/TjAbKigJSiGgL16aGTFVj4+DQW3vsQnctXYbSDjecPY/3N72Ht2GHEhhybaaKq4DlEqpbGTjdsY+fsduxf2IP5/hjqX/9rMhnr94HFxdpkbPv2B10CfuliqwB4wrFVADxcCGlRigGZGoj6CUBqLO2ghVYQEUnT8aBAXaakIHWZcUp68qN0jGE8QsyQCNGgloW+OdoU5Qx5SDRJbCJv2gnbiIIQvvZgYMhNNE2s3JlMFgDDSjMV8jxDbqR7Zh5LsvJthyor7D5zHgffWcb8lRsofA+XXjmGL988jvH87GP9LK0UfE0FWC/qYb4zg3bQZk8KsbuvMMknpF6TTDBOxjzhySkJMHWCII7YrutCG5qsFGWB6IsvsfDhSfy9//l/w1/8t/851pd2YX1pF/L52YarsAvX8QFToWT+i6jQmKpqPNA1Qi9EJ4gw353D9u4CemEH0MA4iZnYO7LTqpIxyMYYC1XLihRJliGraOo0hfs2pnYHRa2JL51jrRRCL2QPghAGFUbpBHEaIyvJEHDxwlXsWT6DPZ9+DjcrEM90cPn4EVw5cRSjxTl77AUSInCs76qEldS2Mf/5xtMEOVZybzsMMxHseehH5CeAEmVRICmI4JwVm53Xm93sGlqzOSlXugGBksTJNOEWjpUsVVpZWJbsay3dSZ1fUfshqJG2yZCQgwVeJZDKXJL9RkNEoJjUyW8aizVLFLDUJCew0nVm6J1AMkPPR8sPEfmhVQILvYASzSnluQybn2+udvDmoVfw03Pv2+/bCiI4SmOQjNCfDLERDzBhJS4FcRd2kZUl+XqUGcqytFM/aij43OV2qEkAmQAQnInMLFPr+ivXuUhNaz5nomrnOBpFUU9FmtPjwPXhKIcJsuJZcffQjQJPK81qUDIxoAld6AdY6MyjHbZQZDmubdxEPx5QcSbPJQs3M1wIGDltXAyQmpHiSVxpJ+SwUFhPe9CuC9WQKBWid8XrIyloNaY+9dXe+Imn8aaGQ1Wo7DXuux7zBgpMmAtSobJFfOAFaPsRFvtj7Hz/JLZ9cBJuv4+i1cKtV1/ErTdewWDHIrKqIP6fAsv7OlbZytEOZls97J3fhQNzu9A79SlNBT78kHbz5ZcJIvTWW4D7YFyqX5bYKgCektgqAL4+7oAQpZMplRSSiYtYKi6yrsYi6ZaXOdIixyAeYmWwhrXxBo0a88RipEX6DyD5N+mSyQJaq2PU5LfIC9EN22iFEXzHo5Eswz9yli2Vh23OEqzUySqs2VBZfr3R2dMWs9du4uC7J7Hn9OfQVYUbz+3H+TdP4Paze6U19NiDSN3aasd7rDMfepRwtP0IoR8icH1UqDCYUAIxTMm8x8LEGqNt6io5+Ic/+I/wf//8zwk8whOcMRucWf8CUJLQ1A4neVEXWpMiESUOlDBI91KIbHPtGbSCCEVZYG3cx+3+Km6P1ogExx1YS5DcvA6ouvMNiMyuax+eruOgqgz68RDjLEbRSEI6K+tYWj6DfSfPIuqPUPgerr1wCJdPHMXqM7uf2Pm6XzzJAkOBkgQyqWokXCA4DSmddYKnKwAAIABJREFUkKY+dcHrQosIr5VNqgiTbWzHWc6CQGkchm8JB8Jwd1rer6FZd11x97Im3bqqNsgzMLYDLedZDM6kWIASzoWxE0zZX4HEibxqwX4qVUWFoxCHpzX6lYX90HXtWp1+3/UQsMpO24/QDiKEXgTPof0huWiSibyXGSUV0D7Ls05/NzGoPLbnEM5d/9JOWZMixSgZ2wlX6AXwGYLTnwywwR4jJFkNKzdqYBpTjHIKSiPXgviCiOypJLylqVgYYlpVztUOtEPbhzHQ7Cfhagd5ldMaLusKT18CJnJnRU4cnE3+O82QiSUVetoms/LZPvOA5tqzcLSDOI1xvX8LkzRGxrwFNM6lwPKEZAxgSkyjasj7NpWaFF8H0hATYrirHfvsKniKmvM1Z/hGk/sDjb8tXE41SMWKPRUcD1AKSZYStBb1sXO0g1C52HP5BvZ88AkWPz0HVRQY7dyOG68fx7UTRxFHIUqe1vsO8b5gDLKKCkxXk8ToMwt7sd/46Pzkb4G/+Avg9m2g1yOewG/+JrC09PWLyC9JbBUAT0lsFQAPH3eDEE2y2BKNFRQiP7SFgbg7iqKKTBto/DzA+riPOKsXbenEVVWFSZ5iGI+4YJh2s5QFr5a88xC4AXyPk1XHg1aaiWiqgf+FlfFLsgRZVRBHgbkFok7ytEY4HGP/+5/gwPufIBjHGG6bxxdvncDV44dRfkt27hqUTHlseGVJbLrRsWQnYkrQ+IGjHXicEPwHb/wIf/KX/8ySAYVH4mnP4oQB1sUucpLwg2kkEw5cHk+7mgzIoBQMd1pzTi5lpC+FiCTfFhNuGgo3pn5AyxVACkYOQj+0+tmjZIxkE1HRn8TYe+pzLC2fwdxXtwAF3Dy4D5dPHMWNowce6dxM8SvwYIR1SZTlNnncib6Ggu/5QAWrtlQnuQ1iucE0vplhLfYLKSpFDAx1ZZuY9oZ3iXTiKdGuWC2shqMA9dRJuuRNyEztPkwf63K3X/xSJAmUdUW69bIelKZEyb4GJSf1FU+mDMs+YgoOxt9DwXphCDFWlGpmojbJODI8RKYadVKcWffbqWOvtCXYiruyFHMGsMlido/iQDhar+x/Ae988aFds8VkytMk6JCVOUbJxBpZOpqkMEtTYphMsDHpYxCPrMiEwG4Ag6wseaJb2omZ4qmLy9MfOa9SHDgOwTmzksjzZUXwE4CUd7SuVb1q9TKHp3W0NhhU9t99h+61vCgQF+kdhpybj2ktm8wwML6GfNeD7wWYb82gHbRQVSX68Qir43VucIioQC3RCdQiGnSNUePA81wYKOvUXHM6MH29Oi58p+ZyGGPsOlYXy6WdLCieaArvQq5DIZ/X1yTsJAkAcemKXEZ+EFhTmBV45tPzWPr4M8xeuQ7jOFg7egjXXn0e1w4+g1zR9l3HRceP4Hs+sjzFJE9RVRU818VCZw4HFvZg6fItdH78N1DvvQeUJXDsGHEF3n77l9pkbKsAeEpiqwB4PPGgEKJWoyhoB4TvBoA4S7ggGE45u0Z+iF7YQeiHcLTGOJng5mAFq8M19OMRJlmMLM8bSgiAYD4FKy4dlloPWh7Q0tmtiawVJ6uEXy+5S1xYfsPTFDovsPf05zj4zjJmbqwgi0Jc/N7zuPD6S4hnut/+/kB01LnLCgXtaOuiKSRiGaf/N7/1X+Cf/Ns/tdwBR5N/hEBn5Px4rkeTBi8AQGZikyTGOCfvgqpkaIgylgxrNj2QJWrSp7IQAK3pb4sfr4wtJAi7Xd5VsxwAdFFg57lLWFo+g52fX4SqDPo7F3Hl+BFceekw0odwe5ZoQnDul7zLax93wWo77nycHHYDb3p5WGWxxr7IdIHcUqnWIpUigdOoRmIuTuMeiQaAEsicYQeisy9F2ub3WtUfWygA4ATQc124yrHJvRQIgGL8fWYnVMJtsd37hgynKCxV3DkQMigghHdJ2DxWg2lhttXFXGsGraBF0wU+PhWTZzOWQ26ujRLUuHAbkCTpMNcQukzM3qR45f2VRog44zpa28Jc1jwD2odX97+I01fPwdEOn8vS4usBKsTbQQuhGwBKoTIlJgy5lOsj8kNopRDnCfpjgg2JC7mobBkDhj6VUwWBJKRSIIl6k2Y9fAWgrGjaIXKsFqIlsqANgqw0BIgIXjaeB/T9fc+jjrVMgu/hXaFk+zxFglZw4ACqVkdq+RFm2zNwHI08L7Ax6WOYTtjXo7TqXs27wvDNIAadvhvAdTSKskTGQgK2iKaLBZrNFAOPZJhlelNURJYWN21pDghfQIQySEJW1rwGrM/C4Oh5KCphZVnYxovAc2dWNrB08gyWPv4M0ShG2W5h5XvHcfHEUaxsmyEFNeYfzERdhK6HURrTRLQqEbg+5ts9HArmsOfjz9D+8d9Af/UV0GqRydhv/RaZjP2SxVYB8JTEVgHwZCMvyEzmYSBEkReQbntMxcAgHtkRMRGZuuixTKPnuBinMb5av4nrGzexMlrHYDIigrKFnwB1agIe6QPijwA0x6iATBYAWOUFWpgr5CWRWoW0ZzucqBOgbz2MwcKlr3Dw3ZPYfeY8jFL46thBnH/rBNb23tvx9tsI6awJFICIg6T49A++/wf4J//2T60MpxjKdcMO2l4Ix6EH+jiNMYhHVl2kaqhRCSxC+AHNMfsj7W/j53tuxRjMX7mBfctnsOfTL+DFKZJuG1dfeg6XTxx9aOlWhRqyQg/smmz8bUXz2rUmRVPzh/oOmlK2EV9y3UAoNyE7DJuy/3dJ97w0lYUH5mJs2CBQyrZdh5NaTUWi73lWUUaSZDHvcrWDohTiaYKUndRFoalsFKBW2YWT4oqx2gLhkNkEkYFp2+QV0Uav1UWXoY4B4+4BmhxI912Ki6ljzHAMSXIBWAiRQIvyMmciu7HKRZWppjvUIuOsaulTaW7ccV658LGFEh+no7sP4aOLp21CD1BHl6A08l3Kqc55iyFJkjTGGTV8ZEohZP0szzBOJ1ifDDBOJ1TQN/DwpRRZlpsl5GzD+0hFkMfuwEop2y0vqhxVVaGoKj6GBlAEF6qMTAg1d/G1hW2JQZeW60ppaEez6lFmScx3uy9kewQ9U1YW1OPj1Q3baPkRoAwmWYpRPMY4j1EUBX92vW0qKOutu46D0CPIogKpAwkEsp5Q0qs917VTbq0UQ69ElruaUunzXY/gR6a0nAuBEDXXRyqQAKWceg1QgAYAoxiKpWDKEtvOX8bSx59ix5kv4ZYVkt27cPO147j80mH0A8dOglpBhMX2LHzXJ/ND5pIEXoDZqIPnVmPs+flJtN//ADovgGefpanAD34AtB++YfKLGFsFwFMSWwXAtx8PCyFq+SEqAJM0tgWBPHTaQQszURczrS66YQeu41i8963BClZHG2yHTkZpBb9PA6gA65ba7KbR4gv7UGheH5L8CClUEgl6Hb2GKWIQGTpA2W0/ac5BtDEgl+EPP4WXZFjfvR3n3zqBay8c+sYuww8bUyPxu3zvP/7RH+J/+vP/Fb5bQ7aUAZKSjOfEGA6ATQTq81Si3GzM1PhcoVQ+zqPdWutj6dRZ7Fs+i/ZaH6Xr4KvnD+LKiaO4dWDvfeXvBDYlnU7BwMvo/ruKZuderm80knxxlHYZrw7USjXg92ot+Hp2VLXZhLGJZFnVsBlSuWnIpXLxZ0nBLEHoy3WhFJFI85R0/PO0NuuqGl1fm0w2rzmSbqTuZ+M+NbDTH6te4wV23en4EQI/sAo0YsYoWvVNcQFx94WyXxvG1DyBchPfoUlm1ndMM4Tv4sL3SA7Tc7w7knj5b1EGkuTOcCEsePgkS+wxE+7AH7z+O/j/Pv5LzEQddII2wiCEhsIkoy6/lZ+E4umKQWloAiEdd9/10A5a8B2PpxMlRunYTjYcRXytoiqR5gkG8RiDZIjUemSUAJRtqEgia8nwpi5wyHOk5jSI70AhDRkmCEsXXLru05MjOjni3GuhS5rgSUoBWZEhztJ7TtTsZ1i4EJF/tdYIHB+hT4IEnushLwriNOU5kjy23fumkMBmCFDgBmgFDDWsKsRZzCpXbP4nUEmGggUeFV1FwZOh5vaNoSLFC9HyAyucMVVg4M6CQO5/+W+tSRxCKYLn6XGMXafOkOvwlRuA1th4/jlcf/UlfHVkPxK+zl3HQZvNFQPHt1ypkicDc3Bx6MxF7H5vGa2r16HDEOrtt6kYeP7577Rx9aRjqwB4SmKrAHg64mEgRJEfQoEMnOI0wTAd225eO+SCgOUdxbV4nE5we7BKxk2TPplCsbKM4rFsEztM5OESpSE4QlYy+awhM6qgYBQIggJRIaJQSvDP9eIuyytBT9goiR/dRVGgvAfM5FHCyXLsWz6Dg+8so7O6gaTbxoXXXsCF115E1m49ts95lFCgcf1/97v/EP/4z/7pPeE195uoKJnU0MFmq6nHey+7SYo9p7/AvuUzWLh8HVDA7f17cOXEUXx17CCKwP/a99cAEMaxf6epvqiVUMdUvDrs2B81np4649Rplc6iMZUtDACZD0xP0SpUqEpJfI2F0ACwEJXAD9Bik67QIzUxowxh3/MMsTVSE0WmkruozBdoJAay/0QK5r3mDr8CAIbOiEytdJZDP2CJ2AAOJ5YwBhmbGeaNLvw0HKhWRQIk2Z9uBEjIuuI5LhUzroeQVa4CJtET2darO/mNiaMlSpcEgxEoovydsmZ/WqS1chUfL4GJCGRKa83dYyqu/t7RN/HnJ3+MYWO66joumeC1enbCUZiK1+OJLfqs4poCipLeK+tnJ2gh8APiqxhq9IzTespAkE+Sch2nEwySESZZQjKjXEjJdFVkd5vy1Ir3k5zJaaoEwGr5S2FQsVKYQKhk8kC4NElstb3mK8bQU5Kr4bG5pTjX37sgaEy85N7SGh5DdyIvQugTQTlm4YskT1EU1L0nWFQN1ZGrSgqvyAvRDiO4joe0yOxzq+nsTB1/1xbMVQWkZcY8t8ruJyXkHfRabZjKYJiMGz4I09Ps+vvVVnjy/QKHpguuoxFcv43dH53Grg8/QTAcI2+FuPHyC7j+vRexvmOB1g/QZKcdtNCLOnAdF+NkjDhPAVCRt2NlgP0fnsbOjz9FmJdwl/ZB/fZvAz/8ITD7eNXunobYKgCektgqAJ7u2AwhmqTx1Nja0Q4iPyCyb0UEuoyJTUopdMM2elIQhG2rn5wVOTbGfdwarmJ1JE6utGgqSyoW+UvdwMrSqH6ckdxprXRTu4iW7HwqIb2UzZ0W+W/BYzrKgec4TJ6sWLrtG16bxmD7F5dx6N1lbP/iMirXwZUX2WV456O7DD+O+OMf/SH+hz/7k+90H+4Wqiyx/fwV7Fs+g11nL0AXJYaLc7hy4giuHD9yT36F4I1hzGMt5h42tIUWkERkO2ihE7bgKJqOTfIEcRozXCUnp+EpoywztS25l7SqcfY1X6KyGHJYvDlhu5vKNp6QMstawaZgeU+Le26E4Ng1Q1iEsCtFhki0CoFbtNmbPB+XDcM87pIbwOLQm2t+U21Ivq/FzXPBI3hpUhai4t1zfISeN5XMR16I0AvJu8D1YUyFvCqnEve8FFz7nUl9EzZUNZWSSsF7G0tCtsm9JPjsexFxk6TtRywTSipdTmNCJdO0qqp4WrqKtdG6hWxI0RZ4AWZbXcy2ZtCN2gjdEFmZYZRMMMkmdZFS5HRdcMIuEz2BdjqaYEPS5JFpr0wyMnY3lgaQnbBUtXNuU0JVMPVCbPUZJy+wsClvBdRwL0n+DUODZN2Wawd8riueMkqh4CpSLcpygpbda1W20DcuJERlx3NcCxlzHQclFwKVMcwBqGqoGn/Pzfe07/nohORZ4miFfjzCOJ1Y1TsAVhY0YKilVpq2z9eRjME8x0E36GCxO2/lX4fxCDEXk9Y472sKH0e7CDwPnvbgQGH+iwvY+cEpbPvkLFRRYLhjEddeeR7Xjh9D0m3BGGN5YtLIk/3Li5wKjDTH3s++wN4PPsHC5evwgxDer74N/du/A7zyyt8Zk7GtAuApia0C4BcvSh6NNk3M5GEEwI59JTEpq5JlLB10ow5mIuIQdMKWxc2WVYVRMsLaqI+V4RrWJhtEiuMJhDyoQi+Ay5rGvuOBpE4LxFmCOIsxyVJ+cHPXriIFkeaDpglPuVtxAHmdEqdXZR9I3+RK7ays4+C7y9j38Rk4eYGVZ3bj/FsncP3IgSe+sDa7y+BO0x89TQWAMZi5cRv7ls9i76lzCMYxslaIKy8dxpXjR7Cxe/tTN5LWoEI19APMt2cx35nFQmcOvucjTmOS3B33MUhGSPLMKlw1iYHAdLLrKDI2clmNxKHs3ybIxlTIioJVSOgqJjUaUtMRrkxV3VlQNBMtcW+VjimRGBmiYah8qt3Km9sRboGuDegYLqO1anyGwwRcIR87DSlS6f4C4CmSTENEd993PW4AeCyr6VnFIMLhK1SVqRN4Tujvlczfce6YrEzHpYbtlPy3GB421bVc7dpCI/B8C5cKPDL4ch8A4pcXBZI8Qa/VRZ7ndi1rRlZkuD1co2npeAP9yRApd2uVUkx07mGuPYNe2IHnetYDZpROLI+B1k6ayIgyD3WB23DZQ6YoCzLxY+dtOS60xidsPJkQhLOadkSmRLkpr8k8Aibreq5P0sDQtSmh7ZwL1IXgPAQpbJBmG+fH4YJAJmBaKXjKQc6+Bl8nOWrnvo3zSCRgD22/ZaFzSZE1VHkUioKckZuFjJ2Age7TVhChG3URuj6yMsP6uG+LCrm/CXbokOM0gBLEUynLWrLVdRx0gjZ2zSyiHbZZiGNU8zfKAiWv2ffiJjlaw9cePNdDKyuw89Q57Hx/Gd3L11Ap4NZz+3H55WO4eXg/KscFFBPeGfbnMYwMfP0rrdG6eRu73z+F3R+cQivN4e/aDf93fgT3t38H2Lbtvtf60xxbBcBTElsFwN+NEAjRZs+CrCDSWMpOlvIA8ByCAcy1ZzDb6mEm6qIdtCy8wBiDmB1xV0ZrWB1tYMja8UVVWOUan0f64nvgOI51fxUznrKqUBQ5kRKrxuILAFBwOHEReMHdOi/NicE3JRt7cYJnPvoMB99dRtQfYTLbxZdvHMfFV59/LC7D9wp6GGo7HZEJgFbadl6/Lml6EhH1h9h76hz2LZ9B9/Y6KkfjxpEDuHz8CG4+98y3zpvYHFoJnIBkGudbM+i1e/C0izTP0I+HWBtvYJSOp/TR62ulLrwkyRYXVtf1EDgkcxh6ATztUIJYkHlfVmTIyoIkFkUaV5KnBglbPsd2zBufVSc+cl/RdAvSua+mCwSBrcjEwWkkTSTxWevIS3IHNMiwjrYdXklwNhNk6fu7aJJnaydgDaOMldMsHjCZ91jJyGWIkciRilBAKcosbBKWFXeShEXiM3QDxncHBBnin0Uykw6TsZyEJM8I51+kSBnrn/GUJeNkPC9qrX4A+I9/5e/j/3zn/0U7iNCLuphvz2C+PYuF7jz8uxQFo4QglKvjNayPB+jHI5SspOM4DnphB7OtGcx3aD0FYNfgYTLmZooYk1EtTcpJtAa3/QhKK5v4j9OJ/WyBZtL0IKbmTxYTT6iqu9WiiiMcC+k1OAJ/cmid1lpbaFktW4uGtwRxvHIrT2wsD0aK5LKq4UQC3crKkuBY1d0Vhug+oT/t1NdxCJLGxRwZuZVsfEhTIBggN0QQL7j4rp8fdcE7E3XQiTrQSrGT+5jUohqf3YT+GRCpurSclFqUY1t3AQvtGSQ87RnGBNXKyswWSvcqCBRPID3Hw+zaAPs+/gy7PjwNfzBAEga4+tJhXDpxFBu7FmH4Mz2XHNQ9NoSrKkMCAsqBLkrMnT6LHe9+iIUvLpL3y/deQ/h7/x6Ct78P9S1JXz/O2CoAnpLYKgD+bkde5BjztEBIx6NkgqRIkOb0gIQhvefQC7DQmcW27gJm2z20/GgKb5wXOQbJGP3JACsjehCmOcn5iSoEkbNCeK5rFSjyIscojZEVKcGUGHqRlw1yF2BNYITYl5uSscgNvCe3rZShbs43KQZUWWHX2Qs4+O4yFi59hcJ3cfkEuQyLQ+2TjD/+0R/if/yzP/nWUfFOlmP3p+exb/kMtl28ChhgbWknLp84imsvHEIefTv61DLloYSo7mw7rPJCD2nppMMmI1a1BjWJsKmeA9M0cCNiK0FTCG9esjJIkidIigx5nlOHlGEHzeJUSJUEUdON5FzZjrmjVO0HIKRGaa/K3sl3NAYV6/8rA6uTrsQEiRMiMUWSTqwrfgCqPg5NHLdgxsWJVgialtvQ5Cl8jZyvFBfCFxBvgel/o59d7Vj1niRPWbs/RZJnd5X5JJKnf0eSTyTfGsue5CkSu62auJvljYReCJ+m5lhMfQ+tLQxHphliEBZ6Pl7YexjvfvEx+vEAg3iMQrrYSqHtR+hFHcy2eljozmGhM4/Qm+a6VFWF9ckAt4erWBttYGM8wCidQByRfc/HTNTFXHsGi515zERd5FXBE9sJ+pMhEYZzIlVXpuKuvZhwzRBszABpkWKUTixcTAq2tMqRpIklLqe5wFcMTFWhhGGCMRfFzCzWWsPXPnzPY9gPNVfyooBMm6AAV7mCmLHQTzvJtbBNntBOwdAcKAN20c2s8MTdYqog4CmP53poeYGFwGXyDACsaWbeuA7KTcpnGuROPtPqIHQDJEWGYTJiuF/Fo7haDtnRGlBExs5LKUrJwyBkQ8XFzhygNLIiwygekds5cxoEkiWThzvvKQUXCrsuXseBk+ew/fTn0GWBwfYFXDxxBJdeeA5JJyLoHTR810XkRwhcn8jdfA8Hro9gfQOL73yA7e99hLA/gpqdQfXDfxft3//30Tt0ZOp5/TTHVgHwlMRWAfDLF5shRP3JEOuTDUwyKgqKspyaECx25rB9Zht6YXtqgamqCqN0gmEywvpoAyujDfIlYNUG6QY6joPIC6CUIpJhnjJkKCEsaJHZYqCsKpsMuo6HyPfhOz6qqiJyZJHbh6wke1CwzqSPGjPXb+Pgu8vYe+ocdFnh5qF9OP8rL+PWs0tPDPryrXIAqgrbLlzDvuUz2P3ZeTh5gclsD5dPHMGVE0cwnn98RDPqtDmWfAgFi9++X2iGez1oCEaeEjyCgRgolGVhcfbWw4K7dtMkP0nwG9r8TLJ0HRdN6cNaGldZpRVwAiGdfepaCgmV6LJTeHsY65AqyZPt7itNfhHiKMtThKmEn3H4Dbo9qxPV7r0SDidUd0/gnbsm9U2cPMH7qMOecoLfTMjTPLvjnArfQYoHrTWUIdnT0hTICuJASDecxAVq9ZZmsW/PcWPqsTmht5MC4SD4ISIvgOe4X5sMyXEF6nXs9nAN6+zUTtPOTF6MyAuoKGjPYJEnBZE/XSgXRUHQodEaVscbGEyGteQzFxYzrS4WOnPY1p1HN2wjZk7AIBlhbbhh4UBZkUHkLFt+hNlWD92wTYo3VYFRUsOGqCiQ6UGKSRYjzhMkeWJVlwAyvirYTKs05VQH3XUc+G4ARzmcHANZWUwVV652bSFZMq+jEv4IwHKxmhWo5Gon+CiMQlYmyIrivrwumZ4Rd8Ajgq9DHI6Sr0mAeTKKyNYZ3+/iGFx/Ou135Pnohh0ACnEhz7miVqPiokArF+BpX9nYjlYKvuNjJurwlIggXMQFiTHiabtMZDYXJfa6A+ClOfadPo/9y2ewcO0WlKNx67n9uHj8MK4e2ofCqbkYvuPa61qUnjzXha9czJ79AvM/ew9zp89CVwbJcwdR/uZvYuY3fhvz8zseCBL3XcVWAfCUxFYBsBXANIRoY9LHymgD62N6IJXcFfFdnx9gs9jWoSlB5IdTY/kkT3n8OrLkYhnBgx9ojsOydo6LrMgRZzHijIqCpEGQFLw2UDt4dsIICkScIqJcZX8vCVpREA75UYiowWiCA+9/ggM/P8Uuw3M4/8ZxXDlxFKX/eEet30YB0L25in0nz2Lp5FmEwzHy0Me1F0ivf23pm3kkaGibeFkTszwjBY5v6EfwMFHXGU11nAbngn5gsIyycBdHuwRfcTmpbBB2JUGUbr+CaPcXNsGX5MrAWMKmAKvlM2yXlE2p6n1WducFk22NtTYZfAmEwybWmxJ3+jfnjn/T+ut5LcaQrGWyqXNP0xFK+EsmRAq0xMKJ+KBL57PixDJnuJDV95/yIqmTeZvQy7EXhR43qBN6Viryea24m87/o0azALhXjJIxbo/WsDbsoz8ZYJCMLBcAAEI/RC9sY7bVw3xnFtu682gF0wpjkyzB7cEKVobrWB/30Y9HdtqgtUY37GCu1cN8Zw7bewsIvQBxlmCYjLE+6WN9tIFhMqY1sSws4Xcm6mAm7CJkAQiBB1kFIE3NEVrTJ5iwFGpZlURcB6xhlhQFzVmqcBZcx7XFJ5l1ERYfALxGQSBqTXIPyHTKsQWBcBRgCdFpURuAfV2IwpXAasQlWEPVUyBF++MojcKU1osir5ocCZkMOmj5IXzPp3vAKk2VtvhuTvJqhSD+N1DToeVHmO/OouWRGzD5b6Q82cmsLKkYQd4tuisb2Ld8Bs+cPIf2aIKy1cKNE8dw8fhh3N45bwsszdCr0A+s34RmA7JgNMHCux9i4WfvIVhZRRlF2Hj9FRS/8evYduI1bO8tIvC+Xq3t246tAuApia0CYCu+LrIixzqrBa2N1rExHiLJUwCE92/5EWaiHha7s5htzaAdRGj5kU0+8rLAkPGY/QnhtdOciGMVj7N9SWq0i7yiCcEoGWOSURerOQKGkcXQQSuI4LseFx6JlXxrYpJlwpCxzN6Dhi4K7Dn9BQ6+u4zZr24jD31cfPUFfPnm8cfmMvykCoBgNLG4/pkbKzBa4eahZ3DlxBFcP3wAlXcnxvlpj5pM2JTdFDK5aSQZzfcoJrT6tovW8iOCPiiNgmENYkAliStxWVw4BPSnjmlVMRmwsh9OD+banAqooRG68XdtVlUn877rI3R9TnJDeKxaIsmPfmr9AAAgAElEQVS817gnHiSZv1cU3BlNuDMscBGZwEniIxrtxtQa9FOqXUyENqbuKDeTeSlcfNdrfD/yMoi8gGFYATzreeFakul3EQ9SANwtJlmClcEaVsfr2JgMSDmmYezoez7zAXqYb89isTuHdtCy56+qKgySEW4NVrE6Wmfo0NgeU8/1pqBD23vzJBuZxtiYDLA6WsfauI9hMiIZZ4b0iB9Mix3DK1NZ2JDIl2qlkOYZRtkESZYiyRMmxgvErrIcDTuJ4ULPwnMYqqWUqq8XLnqtGzVgi2XDBYF09bV20ITuAaw6VJXImKj8IAWBGLz5nm+ho2XZSPS5sHeY7yCTq4KhfvIJUhAEng+fDcYAw/CiAmVVoOJjA+AOmI8UOoHrkzln2ELghSirApnA2fIUOfsrkIz2Xb5fVWH7hat45qMz2H2WjMbGO7bhq1dfxOWXjmDSDhrnpHZU9nhCFDC0bebLy5j9m7/FzMenoPIcwz27sParr6P4te9j565nsHtuxxTX77uKrQLgKYmtAmArHiaMMZikMW4OVkgtaNxHnNGDxNFC4gsx2+5hJuqgFbSssZCYCY2TCQbJGMNkhI3xwJKVi6pg6A8lPmJ4E2cpRukIkzRGYmVHG11FJRrfHjR3gEQmUUiQvuNBQZHRTZFZD4QH+MKYv3IDB99dxu7PzkMZg6+OHcQXb53A2tKub9RBf5wFgM4L7Dp7AUsnz2LHF5egKoON3dtw+cRRXH3xue/c+6AZDWTQHWegVuMXxT5lCbN328504t3U8iciI6RnyYUjYcOpOPRcH47SVm8/Z5fVzTKEdTfTsR12x3HgOjSV8h0PvudbjXtJ6kM/ROSF8N3pjv2jJvMSQvjMy4JcZ7PYJvWTLEGcJoiLhBKPPLcJvsh9Ej+gnoyIlCTh/Z1GUk/qKUEDctNU4WlOJayPyHeYWFTWdKw21ZIpjcifyiRjz/xOrAzWWCY0+EbThSRLsDJax9poA+uTAQbxEJMssfAZcvduY67dw1x7Foud+SlJ5qIqsDpcx8pwHavj2rhRIvJDVh2axbbePBa7c1BQGMZjrIzWsCKFRDKe8jToRh10gharzLjWxE2uH6U0yqrAMJkgyeh6IU6YEa67FZCY0smXJox2eArAE2DhDwB23ZVZl+2Em2ZBoK14BHgLsgKUFWn43888Uop863PBalhAff/T5LmWtM6LHJNNBQFtC3ZiJypTnuvBGGCSxUQkb0y35Ds3gyCJhOGfabXR8lpQWlvIVFZkiHNSdUq5saXsp9O2nCTF3k8+xzPLZzB/5QaM1lg5fADXXnkBt44cQO44EG4UH2wuCDy0gwhz7Vn0CoOZ9z5E969/guDqV8g9F7ePH8XKr7wBdewYds5tx9L8Tsy2Zx7rZO1BY6sAeEpiqwDYim8SxhhMshgbkyFWh6QWlOQJ4Udh4LIhTOAGiFiTvR1EaPsttALqXKRFhmEyxjAeYZCMMGC1IcF6SlEAHtcOkzGNxXnMKlAhat4odgqljpUkmgK1EDMXT7uoDJDk5GVQ3kViVCs11QmN+kM8+94p7P/wNLw4xcaubTj/5glce/EQqrsoh9wvvnEBYAwWLl/HvuUz2HP6C7hphrjXwZXjh3HlxFEMt80/8KaEEGfY0I0f9Y++bw8Q8rB1tQPFiUBpSqv5/mD7DauW4ziOxedTMkhuyZIMfp2mt0CCSJmllpgUHK3ozrvapdF/ewaLvQXMtWcsv+VRYgqCYOU0y1pes8gxyRMm8CdIciqC86JgacdymoBoAKVpQmbVjhocgFo2s8bOi8ynJPJNqNHjTOgtXKihVlPKedqUvNsk/o7XNl9TTr32YZ5jbx9+DT899z4AuvZDX/gDIVp+iMiPEPnBI08psiKjhH60TkXBZDjlMEwJehszUY+upS4RhaUoSLIEt4ZrWB2S2MJGPETOmH+lNDpcUCy0Z7Gtt4CZqAtjDNbGG7g9XCNi8mSAcRZbZanA89EJ2oj8ED4bkuUFJcBFRZyACgbjhD1eihQpTxn4DMIYTGHdZSpUe0+wwo6x7+D1l6R1+YCjqEj3X0z2NMN8tLqTM6O1RlGQc/K9iLYS9eSNnLWpeFeoyqqG0jia3a1pQpDkGeIsRsIeAE21OYCmyS0/QieM4Dku0iInQ7KSCwJ+z92aGZqNw1pBhG7Ygee6DSJzgXE6xjCesLoQwbA0CGJXGYPOyhqWls9gafkMosEYeRTg2ktHcPWV5zHYuwuk2lVLDkvBpTVdI9u7C1haG6P9479B62/fRRVPMFycx1evn8DKaycQLm7HjplF7JnfhR29BXrOfguxVQA8JbFVAGzF4wxjyHW4Hw8xmIywPiFt5qzILVRAyG2CEW359ZSgHUTwHA+TLLZSbkPG3srDSDTIwQ+rYTq2n1H7DdTRVFMR3fW6eaKI5KkcS3ikwkNobEJq1RZuorMcSyfP4uC7y+jeXkfajnDh9Zdw4bUXkXYevNP+qAVAe3UDSyfPYt/yGbQ2hih8F189fwhXjh/B7f17nringYZ64o6+Vh2k0amuJQubf95/G6oh2SnXATm18oTA1MZSjqJOYuRHmO/MYkdvEdt681YRixStJpbbAgCeQ8ot3bCNTtBiombJBORGMm8lNQvbjU2zjIyA+PdNDf3SkhTtIYASpSwm2fquj5YfIPLr+8dnVR2bzLuuNSa7X7dPuujNxPpeXfTp10z/rk7Wy6lu/MOGcA4cXbs2O5v/5t/VrxVzMKfxmunfea6HYTwm/lHOk5OMMNzNVC5wfbS4GIjYWCzyQwuFeZjIiwKrYy4KRn0MWE1G4CWO46AbtNFr1RCg+fYMy0IyUXmwyh1/8rcQ6JC4GM9xMbGd+QhpkWFlsEZFwZiknGUK4DoufNenKYgXsLxnyZNX8hiAASZ5glEy4WuWORBGUntjC9emW7Skoo6mJJjHeWh2+cX1GQYoGgZ1cp3bSaAxMPJeQ1MJBUWu2/crCLSGA8WQPsduowQXLQA810fg1TKpYsSWZAnyhqSpwBBDP8BM1EPkBzSJSSck81rmKJpw1c37wvdu4Ppohy2Ens/FtofKlBjEY2vIKU0tR5EsrykrLHx5Gc989Cl2nvkSTlFiuG0Ol14+hmvHjyKf6fFzSsFoNAoCLhiDCLvDGRw6fw29H/8U+uxZZMrgxtGDuPr6cfSfexZREGJbbwF753Zi99zOO0jujzO2CoCnJLYKgK14klGZCqOEEqZ+TOoaQhaUREaxkoNdsKDIyTOI0ApatNAaIM5TDBMqCpIsZdhQCXG+jLMEo3SMUTKxhC4ifzbVVGpVB+EKiMuxyD86WqOsDPIqtx0ySTdVQ7O/qiosnL+MQ+98jB2fX0LlaFx98Tmcf+sE+ru23/fYPEwB4E0S7D39OZZOnsX8lRuAAm4dWMKVE0fw1bGDj52gLFEn0aKSo1gZp6GnbQx39Mo6cf0WCoT7fYKYyJFKjmslIH2X5BalWwjQdZoXOfFOigx5nqG0yQgp9YRugCgI0Qs75HILg6IUwmGKjDuaSsESdUVbvUkabrrxNuVLRZJQOAuhH6Ll1YmnONu6DsEcNMul1kl3+a120WW/p5PvRjJ+R7J+l0Tdypbe7bW1z8LjjntxACpTIWFBAiLOJixSkEwVY9QVDm1BIFOD+6kPbY6iKrA+6hNJeNK38qBNnkUnaGOm1cVcawaL3TnMdWbgahdVVWF1vI7bA5q89hsdf4BIyjNRh7kI81jsLsDVGqNkjJXROlaGa1ifDBBnMbKigFLkTeBaw0cPUiA7ymGIpkKcpRinY6RlhizPG/4YfAytEWRpE1FLdNfMA+BGjpwL4hk4ELcXumbr7VrjOgMY7o7L74ScXqIil+ivWRlEJpeeOzyVslAhUp4LPIK8tbwQVVVxATRGwpPiZriaTMRm211o5cDAYBiPkeTJ15KcBbrkuR4iN+QJVICW34IxFQbJEP3JCEmRoeLpDGSNiBPsPHUW+z7+DHNXrgMKuHnoGVx++SiuHz4Aw/Kuyiiw8oE9XkprtLwQ++MKz538HHPvfIBy0Meo18aVV1/ApZePIZvtwXc9LHTmsGduJ/bO78ZMq/NY78WtAuApia0CYCu+zaBOFhGC+/EQw2RsH8Si004LKT2IReoOIInBdtBCyw/hOR7KqkLG8KFJFhPGsiRPgjhNsD7pY5zGyIqMH6i1ZCIw3XWqJSA9aH7AiJkOIERQdjXm/REimoJCeHsV+9/5CEsffwo3K7C6bxfOv/Uyrh85AOPcvet6vwJAlSV2fH4J+5bPYue5C9BlhcH2ecL1v3QYSa/zjc/HNwnBkYtKSP0z/15pS5Z9EoCiJslWzNQqNCA/TN6TrqTsk0DAPNdl6cIa5kGQBtqGOPGKA2uNuaXZhMPJqsvFhBQlkmDXWv2KPs9x4XER4rouAse3GHvPERiOU29jqtNefqtd9OnXOHftogsJ+BcxHpYEbAyp1kxxLUTKuGFo5mqHi4JoqkAIXP+BE6iqqrA27rPXSh+DyRDDdGzV2Kij26KOf2cGC505LLbn4LouuRgPVnF7tI710Qb68eiuLsYiRTrb6iErcwziEdZG66TcltQQTJGMVdB2aluZCi4nuwDBncTnJc1zVJyI2+9rDDnCC34e5FMg+6SVguGEGBAFLzGma8jr2gZRXTAbltqtrDM3cYY0Kw3JdO+u1wAX3E1eTsHmbqIaJvdr5EcIPR9FWWKUjAmmWmZ3qAP5rode2LHE76IqMIhHSLKUpK7vsS/k6k3qeIEX0EQ8bMFXHjbiIYbJiFXvSsvbMcagu7qB3R99ij0fn0bYHyGPAlx98TlcevkYNnZvtxLH1uTPVDDKWGJ3pBwcOn8dh06ew8y5LwGlcOvwAVx89RiuHtiLyiFo5UzUwZ65nVha2I3t3YVvzGPaKgCektgqALbiu4yyqjBMRrYgGCcTiBV9N+wwJIjG7eSQSQ9gefgQhIiULxSA0pCCwySbWPhFVqRYHw/RTwZIspSl6hQcJoe5jkOd3DK3D4s6YaKelHSJ6FYxKOXBYgAxldFaw09yPPPRp9j3sw8QbgwQz3Rw/o3juPTq83cYbN21ADAGc9duYWn5DPZ+8jn8OEHajnD1pcO4fOIo+jsXbSeI3zCVWD9IZ3xzCJlWGdC42UiC9Oh9fNX4E+Aun4z/mdgrcb8x/oN/Zk0IlO64dDAFa36vTxEDI0lu61xNuBFsrmTqTrnVELcwI207802Vm2b3TqZeNjFkU6zpBPtRuuibIC/fQhf9FzkeVQVocxheb2hSIApLKeIsRl7W8BGtdGNSENZwogfkj1RVhX48tMIL/XiAYTy2CatSCi0/IvgQJ/iL3Tn4ro9RMsZNUR2aEPRIignrYtymQmJHbwGBF9CkNR5hbdzH+rjPho80DW06Mjva4fVaPKlp2hVnwlXJUYIKWcG2a6W5qG5AxMS9GJgi9tfkftA9ZNgtvrEWSyPAwKAqDYxAg5i/5UBBM3FWOEF3C3EJdrUDsPpXZQt5wHGoWI/8AN2wA82QqdXRBsbphFSPLH+AibkeFQShR0TzSUZGnFn59RKoAhciiF+ITthG6PoYpRNMxOOhbCg1lRUWL1zG3g8/xc5Pv4DKcwwYInT1+BEk3TZ/R2U5GrTWGwt9nBmOcWj5c+xfPovWKIaancXtN1/B5ycOY6UTICtyOFoj9ELsnN2GZxb2YO/8Lvjuw0+ftwqApyS2CoCteJqiKEtbEAziIUbpBAAtiESa69rFd8LqJ2N2OG524kIvsMThsqqQsdFYVmRYHfUxmAwwziY8pgZcreFpH4FP5Lg4y4ikZowlltquUjkNl5A/FT+EFDRQVdj9+UUcfGcZ8xeuIHcd/P/tvXmYLNlVH/g798aWSy1v69f7KtFSq9VqLcAIIRkYFg8eQHzg0WDZ/mRsBMbA8GkYjz9m7MEGbPDCDB5ssPAwAqwxtgEZGWYQm4QaxCJ1t3pXt6RWd6v39+pVVW6xx50/zrk3IutlLW+tqn739/XryoyKjIzMyht5zz2/5em7bseTX36XE+d2C4Dexgg3PMjWncO1DTSBxouvvQ3Pv/EOnHnVrVBhy9+u6xoNNahr63ZiW+yGebamXSFzq/GK5uz+LBVqr6AtU/rzmbITrIWflkl6e0Sr07BzoaoS/ryptjvcOT93d1XRrvTv7DDSUlza8yOZfHOCr51QuAJD/gS2CEiiWDjkPfme5gkPW9tyKFgcxlgV3veJpaM4OlzdV4vMKwEXqwDYCUxLPLtj0O1qEhF6YeI0Bq5ACJNdV1mbpsE4YycgK/odZ1PJXAFAhH6UYLm3JFkDqzg+5KJgfbrpdAHWitS+H1EYYbW3hCOy//GlIyjrmk0a0gk2XGe1dOJhfr557jkneQOAcTkTNrm3m1UQ6EBohJWEQdYoq44Yl9prD5FNv7ZBfJi7DhPxRN52cW0nrmnaBGMNBa0VGmO2t+UEhOYYIhCDAmeZCnH70WxwsdJbQk++bzbSETamI6RFPmc8YI0sOMtmgFAHqJsG03zGCc7WqWvBeVijg0BrJGGCQdJDErAtqLXJLus2w0CnGa556HHc8MBjOPLM82gAvHTrDXj6ja+Zs4G2CyZ24QxSyOkGuPYLz+LW+x/D1Z99GrHSKO94LcZv/wp8/lXXY62YOuvbMAhxfHgENx67FjefuAFLyWDHz6x7Tb4AOBjwBYDHQUZZcwt1lI6xKU4aAK/8LydLWO4vif91gqIuXTEwza2TRftlq2wbFGKjWJUY5zOsTdYxzWccdQ92YdCk0I97ABG7PciXqhWRwgANmJJRNTVMI5NJKziV1V4QMHz+JdzyZw/ghgcfh64bnHrVTXjiy+7Eu3/gx/BrP/4+3PTQEzj+1HMgIqzfcgOef+MdeOl1X4IijjjFtmlawVvHkcOuPCsiQHj5CgpBELR6O8jkXbjsCnaFnFwxUHTEp7UrbM5tgs9fx53V8nMsD6yFp/X579oJwrRdgq7V4MWClgk+FwUNthXxgR2mQh2hH8YIw9A5GdmiwMAIdS13HGD7mQiDEEkQYRAnWEqWEIURqqpEWuYu6AloHTxWe0s4MljF0eEqBnFvT5NCj73hchQA26Gqa9cxaLsGmeSrtHDJxpJfYQuDnRJeG5lUnh6v8+ReAsyKsr0O9qIESz3OKjg2OILjy0cRqACnx2udDsMY2Vkpxss4JkXBMBm4FPhxOsWkE1Zm31u7Im5X+q1eyAbH5WUpk3722rer/LbD0NhiQK7V7QJPtyDo5HCYTkEgVYntDrC1qOhkjHHC626GhdWmbXftClXgtAOcC2JtTWW1PwjQj/pY7S8hDmOUVYkzk3VM8hSl5N7Y66q9liRhjF7A47qo2RjAJWPvQl0KNXcjkiB2BUVtGpQNu4eVdYXeqdO47v7HcP2nH0WyOUaZxHj29bfjqbu+BOvXXQV0iytZILHXWgKhP53h5geewM33PYrhxhi0tITsK9+K9KvegfXjR/Di6BTGKdvPaqWx1Bvg2iNX47arbsLJ5WPbdrd8AXBA4AsAj8OEsirZYSidYDMdu5UIrTRWektY6S9huTdsXVvqSiwU206BpRDZJEyAL+ijbOJoSK4YELFrpCNorXjVq67hVkskY4D1CKUESlVzXyHWo7mfFrj2z+7HjX/+aSTjKW79swfw5Je/AdNjq3j27tfi2Te8FtnqSmdVf971hnmpytFcNGmEQeBCpkJZYXKWhkGMMIgQKA69SosZ1mebGKWsmSjKQigtZp6rb+a/Aued+bfe2hmuC+H4wMDOMr2tj+fVL/bvD9wKPoy0/E3Nfw/Dmo6LQSWyfFzrWNWgmeP1u/2cBiFAZL3wZXJmCwJCm5JaVAWqpoERxyFFGlEYohey4H2YDEDggjMtc9auCC3CCoOXe5wcy+L4llLiOwbnhv0sALZD0zQdKlFbIKRlNneukYQ/LRIgb4dJNsNap1MwyqbtBB9AHMZYToY8yV/irAJFhJfHa1iTYmKUTuaKVBd4NjyCY8MjgDGYFFOMU7ZpLiVgD4C7FhdlwZ3YunKT8FrGRFXX7P3f1E5YTIoQiGjXiu5L66RV2iwXY5dDOh07ttqEncxaypJ08hQp1iXIdd5y+QNiCpBSGmVTbkvTUUQIVegcjmrTZm3YRaIoCLHcW8JQgrdG6QTTfMZi4kasQ+UazwVBIHog/js2UkTZoMLtPq12ESIMQpegHW7J0cmLFCuf/QKuu+8RXP3o56CrCuMTR/Hc3a/D0294NdJB3y3bdFPKITQqGIOrn34Bt9z3KK5+7PMIGoPpTddj+o63oXn729HECU6N18T1rwCBRehXLR/DrSduwE3Hr5+jCvkC4IDAFwAehxlFVWAzbSlDdhUt1AGWe9wdWO4vzXFtm6bBrMi4S9ChEFmrxkxW5UbZBNMsRdVYni17OsdBBK018qpwSZswnHkQKI0wDFHVNWZFhrzM0WA+VCoC4abPPI1vft+P4j984J/j1DXH2EWnE+7SFdJa0arWGnEQIwlD9rGWFWgQAU2Dqm5QNiW326sChYSmtSFQwpuVC3v3Qq9A3JIHISAWflluqKXLWFGqLZ6630juS9K09JqtxYQV+UF4vZZaY0W3NqBoL+WBCxKylADbKbDPaUXA7hwu7Bpn3yu7muhKs063wLbUtdLspiLFGVO3+I13r1GEvbU49NhCyVozDuMekogtPTWAvObi0r4mRcp5+kcBp+0u4pifj13llYCDWABsB2MMsjKXoiCdKwy6ovCwoy3pRz2hFiWIgnDhSmxaZDg9PoO16Qbbim5NNQ4i6RRwJ+rYYJU579MNtjKdjjDNpm6lOgwirIgV6bHhEQzjHgrp4I5FWGzdqjRpNKZBLvoJWyC3blTiBNQN3TJ20UXc20S7VdYliqpEUeadTmHbJ7AUTvd+ykVKKy7Crc7ABgJ2+59WvG8AZ3e6CJo0Is2haJbOZK+RpPia0A97GCQ91x1IixxFWXChIV0SqzMjEJRmHUCoAglV4wyGoipRbXEjsrBFkC1A+mGCfpygF/ZgCBymub6GIw88jGvvfQhHnnkBAHD61Tfj2TfdiZdvvw2F5oLGLLq+A4hmOW566AncfP+jWH55DXUU4dQb7sDa274U0etej0E8wEy6UON8wpazKsCRwQquP3oNbr/6FqwMln0BcBDgCwCPVxKyMufuwGyEzY5XexSEXAxIlyAJ47nHWZePrRSicTbFxmyE9ekmp0F2RHexZseGQGluvValo5EAvNoUSVJsXhWY5Nwmt6NtqwiYRKAVhSF6AU/orJATgJs0Vk2NsuLWeeUmzo1MetvVrPa4VhMgIlVpP7de8qFLgrUFgmUQKXHJCJRyjjn2cY1pRGRdOD6wLaLKunK0KFs02MKARdjG3W5k1czSh9ovbcAGZXWPsRsUbCCRBtnUW8N9h9bFyWzpslwa2L+pTQ3mjoyWSYWsetY1yqZCXVdi5cnnZq1qA3EP6omFaaD4tbH/Ca8AxmEsbi1tGBNgJ4W9sywrQ714Unil4DAVANvBXrNaKpHtGqSoOnoo7ZyJkjmNQbJAgJyVBdYmZ7A2XudOQTqZsxYNdIhlCTA7MljB6mAJVVXh9GQD69MNbKbjuRTjftzDSm8JRwerWOkPEQYhZnmGcTbBVPbjCaIGkZKkXLYZ5clugbKuXeHstE7gFX4reudxEQAwyGvO17BJv93rRtdByOql7EqGE98ToSFCVZUoJZ3ePj7UASIdSRL3Ylcfgk3WDtwCRNVUsMwkUjyx78fM5We6U9O5nlYo66K1C8a841mk2ca4bmq2w66Lba9hlvapxdp1mAyw2l9GEsbIyhzpU09i5U8/iWvufRjJ5ghlEuP5u16D5998J2Y3XIeqaVCaytmrzi2mGIOjz72MW+5/DNc//FmEZYXJVcfw7JfehZfechd6R45jtbcEUgrjbIr12aajiL33q/+KLwAOAnwB4PFKhV05s/qBzXTiWtJxEDn9wEpvCXEYLTxGl0I0Tid4YfMUnjvzAjbTiaQQ8+Q1IJ5Ic5uTRIRmdQIVmsZAKY0kiBCqAONsgvf+1+/G//Wx/4BhPEASRmjQoBRf+bIqha8KmKYV+9ovbNO0Ql7b6gaEE0twjjBaaxG9MU1IS8egFcI2jndr019tgBQHBHFYTbu9TYplW0u+bUWyFk3D+Q9M1+L3nzsqU6G3lG1HwdStWM9+IZv2tdkcB3595BxuGmMkLEt0GLtM5e1k2XYgnGIXcJQi6/ZzcXyJtgfrBrjlH8lKfj9KACJxXClduJ1NQLWvQoG4uyDFgZbJU6A0emGMKIzQD3voxz33ecyrfE4kbyeF3dTbftQ7J7vKw4xXQgGwHSz/PhVHIqsxSEUwaqGIXDHQLRKTKJ6zdy2qCmsiGD4z3cQoHWOap+1Chw6wZDUrw1UM4yGKKseZ6QbWRU9gNVRKKQxiTjFe7a/wZx6Q/Jap62jY60xd18iqnPUG6cSNCZfzAlsOyCRZVtttAJ4ihbKqkJUc8pbX5VlFv+2+UceUwADOFUxDoTasRWg6NEAC8WRca7fosWg5gUDuGtkWA7LUIcVIHISI5FrbtTYu69IJx203F2iviYEO0A8TaK2RlrnkVWxvFexsiXWIYdzHUdEYoa5R3H8vevd8Ascf+gxUWWJ8/AievfsOvPSmO9EcOwLTGKczqO01WwqCIC9w/SOfxU33PYZjz70ECkK8/Prb8cU334m1W2+QwpHdkGrT4J1v/npfABwE+ALA40qBMQZpkWFTQslGs7FbKUvCuKMhWNrR2sxSiJ478wI+99JTeGHzFGZFys4WQm3RpKA0r96HQuvQKkBVV8jKFI0x+O6veTf+zR980B3XWokyT5Ut84xcZNk72zhubNc607a4idoVZ54UduxMhUaURDGSUJxpYg6XGsR9WVUKEMjkvmv1txfUTcPJtmWOvCyQVXnnditwtXQf29Q+GMUAACAASURBVNrvdgwqKZTqTogb5AuTXS5skWBcQQSzJVAIcKt6tgBrhMe721XOOR1R6xbUkrFaR5FLBStSt5+XJIwwjAeIghB5lSMtc2RlLsVh4zosRFz4cfu/0+2Rzx5rB5ZwbLiK1QFPusq6civGtijmc1CLV4u3TAoPO17JBcBOqDp/964Iec6ZCNTqiMJukZg4KkpVVR0qEE/yp/nMBZhppTFMOMBspccd16qusd4RJrcpxiFWRJTMCbkJyrp0qcUAfy4HMeu68qpEmqcYpWNszJj2WTYVmloKZUJrdiBdyyiw17UAVVNhlmcurGvRuHauYW4DSeeNxMbU0pNa5x4rBLap8tvrB7hYhwEMQdzm4MwCbDaBPec4jJEEEUAKaZFims2QVXwdaFwxAqH9cIBZ2dSY5bNtKUv2MSSOSHEQYbW/gmuPnMRqQ6juuQfBRz+G4ReeRgPg5dtuxBff+FqcvuN2hEnCtqpijV3Itbuu2axi+aXTuOm+R3Hjg48jygrkx47g1Je+Cc+85XWYDbjg++6vebcvAA4CfAHgcaXCGINZkboMglE6cSssvSiZKwh241KvTzbw8HNP4Jm157E5G0tgS5tGWze142b2hZv7rrd+Ez70qY/AmAZlxSFm7CjEqyx2hb4r0uWOA4TOo9zKfWRXkoOIw9LiBIO4j0Hcx1IywFIyQHgefs0WjWmQl4VM8gtk4lzTtffrgohYkBzGiMNItAuR+zKzCdBd2DTnVPQZo3SCiQ15a2onsnbUnYZ1CUVVtk5JQoWyRYILKJPVfjtJdgFBtrUtdJqdroRugi30A4ZxvPxLBVvgMf2ABaBxGAmHuhAaUTUXEiRn5nQRtjjtfgZXRfB5bHgEvagHgC1mrRB10aSwqzHoRwmSsJ0UHiZcqQXAdrBi0bRIkZYtnSgr8rnPdhxEcwJkWygGmifW69NNrI032lTjbNquWiuFQdzHSm8Jq70laKVR1jU2Ut63SzXqRQmW+0tYjgdIogSRDjEtUszy1J1PXz6DVVMjKzNsziY4M92QwqGUBQUOgCTVCnxDHSIMmUpnaTppkSEvCwmUrOd0Wxa05f9aa6dFqk3N9tDg5zNgWpOCAiklDmuLeft2wYhIoW5KPoJoqVjjxOcdh1brY8e/YTvrLEVaZXO5E9aFrhclUKTc9Xqn65TVN2mtMYh6uGb1JG4tFPTH7wH9wR9Ara2hiCM8e+er8czdr8XkxuskyDACKdUmQFc1GzLkOU4+9jncfN8jOPGF5wAinH7NbTj11rfgm77nh30BcBDgCwAPD4YxBpN85igr42ziWtID4bIu95ewnAw5Y2AbbM5G+Mzzn8czZ57HxmzETkNEnPLaAHlVoDENfuAb/gb+5Uf+b7CNXCtqtZSe1gdb3IaCCAOZfFnHjkHSiv3ONXF062svqhJ5xRN6KyTO5XZ3MghI+1tcJ7ZO8OMg2lZ4eD7gyck8z5m1GjPpHNSyGta69Vi9RF6WKJsSTd2GeDk9QYf/a18TyfvPAr55EfNOX56dtcJd9rx4IPncaOICMA4igIhF652ixIqtFRG37usalRSdtmOghZ7Wj/tMz+gtYxD3EQaBK5ZqKcJ2sqvsrhjvZFe53/AFwN7QGE5kd2OvbIXIXa1RFITuOtQXSlkv6kGTwkY65k7BhDUCo2yKum6NFQZxD8u9JSyJW07V1K5La+1LiQjDeIDl/hD9kIW0AF+vbYER6hBLSR+BClA0JabZDC9trmFjJvqtqnJe+1wQtKYNiXRorX4mKzJHqbFuXItGdbdToG3XtFN0A+x6BjBVigwLrNj6dPHxbMp2Y4xbZW9gxKhBiQ5LC82v7+hDdVXxYlY+Fv1DW3Ao4g5wEGg0tUFRF9umEttXZBcMoiDE0f4yXntqhqN/ei/wJ59AlaYYHVvBM3e/Bs++4TXIl5fYjCCKEepI8h5qp/OKTp3CtZ96CNff/yiSyQyv+vMHfQFwEOALAA+PxWgM89i7BYG9aA+TgYiKh1juDbe1YZykEzz6wufwzGkuBhrTINABhlEP73rrN+ODn/jPMsEupVCwEzsb/MKTqySIEQYtBz8WvugcLz+Y5+cHsl13gmzaiX2XqsMr+1uvAzypnJ/Yd2/vN1e8aRpxR2nTV2cFt/bZUrB2zjmQFFCmE1WoqgpFXYjgrmLHETRoGusgZKXC8vUueQtGDMu5KdNOCi7PlH/v0NY6lTSg4Og7tpgMVIA4DKGgUDQlTxiq1hJRiTd6qLWstPZcsdeLeq1FqrHFVjOXSgvIpHCLh30/Si6oE3Wx4AuAC4PVVy2yLe1qTewqdFdjEAcRsjLH2sRqBEYYpVNUdRtgNoh6zBmPEpDh7uAkn851aVl70McgHqAXJgiDAGVVdmhDxAm6YQKCQVYWeHm0hpdHpzHJZ8jFjtN2x2weQBRyJzXSoaNPFkJl5ITjfEc6oCsKpEC39J6mMc7YACLMtVcOawt69rGsPoFcR9hekyzdNAoCRIGlbLEZQBKwyHcjHWE0GyOvSnf8rlsZgRcMtisGlF3YoNZGddgQbn/yBdxw3yMIH/8s8qbEi7fegKffcDteuP1WNCFTGG12iXV5IiL0jMbSZx7Ht3zv3/cFwEGALwA8PPYGm7y5KQWBTc+0q1Mr/WGbVLyAFjHJZvjM85/D02vPYX26ie/66u/Az3/03yOJEqwkAxwdHsFVy8dwdLCKQdJHqAKZxLIPdOn48qWbxNrb1mO+bnhFvJYJsA2UMcbMaQyUUpIZkDiruL7oAeyX9GENnXKTk7lVS165tMI1+54oUixqq2spDkqkeY68LsSiTwoEoR21IULWJLtTHNjrqKwA2gyB1t1o/8EcY+sIpVwQEq8qhoh0CKW4U1CU7EFuiFciOQRNCtAgQhgI9UxHCINQ3hHT0q4A6cgw/S2QyVSgg06noC0QLmbXaNf3wRcAlwS2k2hFx7OObWmXoqKVmutcJkGMBsYlDW/MxhinExS280iEXhhjKR4gCkMYw5PmiXQC7d8yDmMM4x56UZ8LXFLIy5b60osSDKI+tFaomwZro3W8ODolmTIpqppzCEg6soFih60wCFxBoJV2mQ1ZmSEt8h0ThYG2KNCKnM2nHSuNabgYILCuxxjUCyhIFsqNr9bu1Op+wiBAHMSIA14k0ipAEkbQpDDJU6xPN1gz0Qk8a4sJXuBY9Nw23FJJorzVKyytj3Hbw5/DjZ9+DNHGCFkU4Iuvuw1P3XU7zlx3FSDXlmE8wCDqIy1TFHXpNQCXAkR0A4BfAnASfP19vzHmp3d5jC8APDzOA3VTY5xOXbt6kk0B2JWnodMQDJP+WQLKtEjRj/vIyxxRsNiBaNHzZWW7Yt/ezpEVIoTrUGCA1snC0ossbOGyCIHSzt2n6/oTbLkfiiXlfncC9oru5KTrjDIrMrd6DViRniR+mhpVVUu+AnuWz7IZu5GI0K8Rz2ybINy9ntpJsb1nv6zZEQRwdqQw2O8+gnVRIUnCZochDhjSIDRCTG6adgKgiOSzohEFrO+IwkhSsMVtSmxqS+eaJRoMt/IqQs2Q9SuW5+xcaRbYVV4ofAFw+WGdiWZbBMhdZyIimisMYAxmZeY6saN0grxDQUsiDtHTxKvpZV2zqNnuQ8QLHFGCOEwQBtqNVYDdhobJAKFmqts4neKlzdNYm57BLGfb57qpAUNQmqChEUURQtESWB2WIsUFQSHmB3WxkOKzFYo4SKzNSAHfVwQDTkPeLpncvWdonZDsfko0QzYrxJ5jHEbQpFGIu9Asn3H32TRz3QWL7boSduEAaOmSJ77wLG789Gdw3WOfR1DVmB4/iqfufg2euvNVmC4xvUtDoR/38d6v+Q5fAFxsENE1AK4xxtxHREsA7gXwTmPMozs8xhcAHh4XAVVdY5Sxu9CmpD4CfDFmqpAUBMJ13ToJaZpmMT1HaDvdSao9bhyK0DYQgW2Hj7+TTsH663PSZImyqhZ0GjrdhnqxmwT7zltL0C0Wobp1FQo7dKSDWDCUEkg060xMmP979uQkDiNAViCLqkTRFEjzDJN8hkk2ldXOWjoHvKLY1RxsvdqyGwdBabZpZTdCcqvnO3F1LzXcuUm3wJ5nIPdtAUiknPMK2xOywDIJYvTilheudQBjBeVl3vkMSnaEOF61XupcjA7jPpZ6QwykW2ApSefbpfIFwMFB1RGedzsG22lNtNIurHEqrjhzAWZhhCRMEBCxVXDDoYxOjEyKPfjD2GWg2AURRYRBPEASxjAwmOZTrI3X8fJoHZN8yloj21GVfA9r8WltR+3toixR1AV3FKtiWxFwF5byoyWTxWYIEgndrjELBco7waaVJ2GESMdQCrLAwdfupmlQis1obtPs6+1pQfPn2xExy1hUaYZrHnkC19//GI4/8zyIFNZvvxVfvPu1ePpVN6LQwA9943t9AXCpQUS/AeBnjDG/u8M+vgDw8LgEKOvKrVptzsaYFRx8o5XGcm+IO657NZ544Unn0NCdbAJbnHTmJvi8bZGTzqWC1RB0CwQbUb+oeOjygLtga8oFHYWziofQrUDvJyrrTFTme5qc9MIECoTSVCiqErOC8yNG6RTTbMpFnTj32BTpnZKKeVLNehCS4sAmpFpR837ArgJaVyTOVgALKZVGEISIRFCpSMOYxk04oiDCUjJwRXE/jKF0gKouXVfLJnVv/bwBcFztUByRlpI+lnpLWE4G6Mc9N0nc8fx9AXDgYWk2WzUGaZnN/e2iIESoAhR16T47aZkiK4tOgFngaI1GArfysoRdM7e0tCgIXbaGvfZwgFYfxgCzIsWZySZOjdYwkbCytrDgiXaoA+mkSUEMLoiNaBnyIkNWFTtadFrYgsAGQvJYM66LYUXNewWhFfwzRUiSkEEw1HbruJtAqOoCeVWiqEtZyNjuuPx/RSxU1qQQkEL/zCZO3vcgrr/vUfQ2x6h6CV6+67V4+//5i74AuJQgopsBfBzAncaY0ZbfvRfAe+Xumw/D6/HwOOwoqpIFxaIhePMtr8ennnyQRbVhhCSI51b0Lycn+mKjaZqdOwpV93fltu1yvSCgbGsIWXf75Xq/6qZBVs6nr86kMOheT+MgannOYQxN2tkWbkxH2EhHGKcTfmyRib935XIOdhIaKrE1tLQdDgwTJ6QdHnupYClB7QaSAsZOjCRrQgWOGsQ2h+JwlfSxkgyx0l/BseEKlntLMDBztrNpkWKczjDJp45XXtWVm0wFwtHuCTVkmAzYMau3hKXe0OV7+ALg8MIY4xx60k5RPtsSgqWIUNXiXCU0yaIu3Iq6vbaQdApsF8o6sUUBe/BHOhKP/UBSvQMsxQMoIkwLziN4afM0xtnMud/YsRAEAQIKHHfefuK0UlBQqEyNsuTzK7ZYKW8HBTaJUKSgNLcIqo7z2V5huf9RECHRIaIw5PwZtB1i2xmJA6YO5VWGSZ46J7vtoC3lVWg/URDgxFPP4eQnH8BVDz+OL/nj+3wBcKlAREMAfwjgx40xv77Lvr4D4OGxD/CTEIZddaqaCmV1tti53NJpqDoCtq3YTr/Q6hZ4Anqp9AuNaZCVxVkTk60JnaEO5p1RwognLBVbIJ6ZbmJjtolxOsUkn8rkpURVWbFh61K0FbY4sKFFvLLXOArB5SwMbOa0ItUKFmVl1HZ4rNOKBCo48SXbCvZYXN9fxtHBCo4MVzGIOBCqceFzBfPE0wnG2dQJQ3MrdjTWTpecj/3X3/UOfPrpRzkjozfESm+IUB/egtuDryNcJHbHXTpH/7E0y0qME9j6uIQC5oS/kGszX2tkhZuASAunXmsnhrf5BqEKkJYZRukYL4/WMM7aDoGlBkUBX3ucZkieg123FJqmLUR28+23UCAEOuRiW7PI2GYgnAt9UAulKQ5i1wVRkmFjnb6ISIIkExCAzRmPuaIutr0WWYqVgejjaoO/9Zf+li8ALgWIKATwmwA+Yoz5qT3s7wsAD499gC8Azg+76xfmuw7np18IO12HC9cvdCcns87KZXdyAsCtXrfpq9wNahqDSTbFxnSEU5M1nJlsYpxNkJYZJwOL+JtfmJEcAHnuuawD/r+l73TtTC93x0BZvYPtEpBCoEPYwDUri7bvuCYFLcnGK70lHB2u4MhgFccGq1jpL52leambGlmRY5RNJFRugnE+wyxP8Zfu/hr8yp98uLM3iW1pjH7cxyDi7oGlKu2FVuRxMGHpi2cLkDPpPjYu9KyURYiiLp3zDQm1jQDRFFRQYuEJKCRhiFBH0FqhH/Vc+nYUhMjLAuN0jFPjdYwzDiiz4ncb7pUEEUhpcR0TYwEYt4rOrm5MKdxZDswgEDsWCS+/biqUEjC5l8fbY4RS5ESaOwMsTOYiqjHta+jHffSDGGVd4cxsA6NOfk4XCkCoY9So8YPf8J2+ALjYIP52+kUAZ4wxP7jHx/gCwMNjH+ALgMuDRfqFbqehqs9dvxDqEEEQLOg0tLf3IlDlcyvP4jnbyUn73GouedXqDbTWGM3GeHHzNE6Pz2BjNmKnlEq8yjur/g1YbwAR2vJ/i1w+2v9ffhoRnNYh0NKtcTQNSXhuavdaWtGldimzVy0fx4mlozi+dJSdZBY9DxFm2Qyb6QTjjBOnx/kMac5JuEVVtmOzM1mzVrnDuO8KhCRKkBxi29wrGd308a4zUWsjzLcdzUwcexoDp8thFzADTRo2ATgKmDYUix++Tcytmgqb6QTr43WM8ilblJoGIJ60J1GEXthDoLRbMOhek2znq6o542SvBUEAhSiKAMN0ocrULhBxL9CkWWuhA+7SKXKLIW2RpKX44YTwSTrBqfEZpFV21vG8CPgSgIi+EsA9AB4CnFT8h40x/+8Oj/EFgIfHPsAXAAcTi/UL0mlozl2/sLCjsAf9wvzkpF297KYyEwhJFLdFgdCKYAinJ2tiabiB0Yw91Qux4nRBZ2LHaScE9VwI2sH5bFr7VK0CRDoQsWYIGINSVkhd5gWMC9OLdIB+3MdKbxlXLR/FdUevxsnl49Babzv2rF3sJJ9iJBSHaT7FNE9dYVZ3+NHdic8gTjCIuTDgTI2YeeRBeJYVsMfBBaePt+GCbP+bYiMdYZrPkBY58oopZiQcocZYbj8LamGMdI2IO4ySNNwXq9s4iNCYBqNsgvXJpoST5e56EgWhKzijMERRFZjlHHpoLXXZdrgRm93tqZFdEICAmCrZGB7zNh9lr5SjKIz5mmXgsk5A5PRamrhbqpRCErAj3fMbpzBOxzAwvgA4KPAFgIfH/sAXAIcfXY/7tqOwQPi8F/3CHOVoG/2CDqGJOM/ACSEz8T6f5wx3nYmsdWlRl9iYjrA23cAkmyAv26KAKQ78hQ7hJnOYHAfM2ZTkvdIILhesDaF1erGT7aquUMjfotvVUYrwfV/3HvziPb+GfhRjEPexnAyxOljFiaWjWO0vcbDZArpXmyWRYpxNnUZjks/mVmurpuaJlkz6Qs2pyMO4h4EUB0nHtvcwC/6vJDSmQVa0IYPTfIaN2QhnphuY5TNkW1LVGxG6k2Ri2I4VKYVIB5L2zoL1OGDr0Uk2laDJWadDgI7r1QCDuIeyqTDNUkxzziWpmhqAQd0YcQqr9zxWAwoQaoUGkGyTvXcHuHPBic2V4esEAYiCCP0oQRLHTFGseQwmYYx3vuUbDm0BsL25toeHh4fHFQPnea81envY3+kXqrJDPzpbvzArMpTVWL7UFzzvFv3CMBlgtbeMBsxRruoaVV1hks2wPtlgIaNMMKMgxMmVY7j+6NUwTSP+3znGGa9AFlXJIkLDCcCWflM1Feq6Rm2MCLYr91yNTVfeh+KgEYFz2VRIy5ZuwPaJYhkahIh0AE0aZPh9mImDy9Yi3P5NIx0iDriIGiR9rPaWcGSwitX+MgZJD9ceOQl9rNUFWJ1HVuaY5RlrDrIppvmM7WAzTrm1EyxLcQq0dqu9w3iAfpxIcdDa/15OhyuP7WEzBPpxD8c627vp49M8xcZ0E6fGZ7CRjjAT15yqrmHA44pASOXvacW2oViQRkGIpd4QJ5aPQZHCNJ9ilE6l6JxgMx07itwg7mO1v4xhwq5Ek3yGcTrFrJiJAJnHZC0FwXajszIVqo5UKiSmMNaoXeG/3WOLukSRMl2RwInNcRijqAqsTTNgagPXhlhOBnsOvjyo8AWAh4eHh8c5g6RNHu4Q0tZFY1q+7yL9gt2el9Nt9QsGNq2TVyTzMsfGbISqruZCvsIgxFIyZDeSTgfAOoDwSiZQVRxOZmDcKntVVyJErlHL+RZiZ3ouK5EXEwZw4uiiKjHd8vusyJwLkVYSwiY/jTEomxJZOsb6bJMLGycJIBeCFgYhEtEGcPo3ZxsMkz5OrhzHjcev49V9kON0Z5IpYbsHaZ65hOqXNk+jMfxezxcInJLMK8XzoX9xGO358+RxaUBETqNzdLiKG45dA2A+fXx9uoEXR6dxZrKBUdoK+Iu64FXzMgOESqOFWhYHIULJfVkWG9u0yDDJpsiqAuNs2hYEKpAuUx9XLR9FGIRsPT0bi94gd+PU0v62Q2kqQH6tAGiyOpx6R3tiA05unkkhrklhEPdAIKxPN3Bmsn7otTJ+pHl4eHh4XHKwdaBy/vW7oW6as0TNLQVpXvhcyHa7f1pkvLJfi9hRKTHx7Nw2vJrHKb8R4v4SAhWCwCuBuVgsctBZhUIKlkpWINl2sThnmsHFhIKdgBDKukaxg0uU6lhDagl4UmARKKhBWvBkfm284V6LTZRVpKU7xK4wg7iHYdzHIBlgKR7g6HAF1x+9GlEQOipZVubSQWCK0axIUTU1ptkMm7MRdyvk+FwcBAi1RizWjDYFPJbuQSIZI97BaH9ARIhDtg5dHSzjlqtudL8rqxLr0028uPEyTk02sDHb5Il9mTtOf1pmzo1IEUFLZ6oXJVjpLSFQAYypMS0y5GWOac4ZGTSSAiKMMIh6uO5I+zmbZlOsz0aSdF6IsxF3+BahAdCYqi2AwRoCENONdhrDtWkwytrSO1ABetp3ADw8PDw8PC4qeEWbJxy7YSf9gqUyuPTjMhM3lBppkXLwkFAKrNd3qANO4g2ZMqOV4vRT8UI3MOxLbgyqukZel8jLnGlH4stuLQYvZVnQiD9Gvc0KqE1fBXhFs2lqmRwVW/ZDJ+xMOX63skcgoJR02nE6xWmZKhFZe0mCVsoFpNmMgn6coB8PMEz6OLF8FIFM3utON2iap65gy8sC0zzFGbGlBAy0Uq5AsB2EllK0JV3cOxjtC8IgxFUrx3HVyvG57dM8xfMbL+LljdM4M9vEaDbBtJihqvlvnRY5RulEcgvIuQ7FYcRJ5EqhqAsUVeUMBE5P1iXMjIuHE0vHkIQRiAhZkePMbBOTdIqiKqTr17ptbYUBuHsgv9KcooAGu6cSV02FzWx8Ud6//YIvADw8PDw8DjXOR7+QlTnGErg1LWaYykr1JOPJw8ZsjNP1OiBOPCzM5clmGAQgkKMPMT2gj0HcF0tPoBaKEnPpC5dxYGTSvp3j0sXE3JrmDk9nALFUBeoFXQRbIFibRGWdUWAzGNo8C5O3qQ3M9ed0Z05RVgh1wJM8ETn3ox6SKEEviqFVwOm1xqA2NcqqRlWXUjBUyMocwMwl3AKYKxAUcQZC2z2IzuokeP3B5cMg7uHVJ2/Bq0/e4rYVVYVTm6fx0ug0Tk3OYGM6wiibCIWIQ8NGKUBkg/S4INdaqG0y7rIyR1Zk2JyNXKpxHERYToY4uXwcgdLIyoJDCLMJj0ExCWi2yRGoMe/5H0Cjwt4TiQ8bfAHg4eHh4XFFoctz3rpqyfQVdkaZiTPK+pRXL9MqxySbsCOKUiKsjTGI+giCABDxbF4VqCsOWeqJl7jtCDSmRlGJ8NhUzraQC4LFJARLX7rU2J4PDcDypU13otQKJvk/ck4xrmCQs2cOeY2sLAAznZuIc9eBKUqWEhQFIQueFedURLpNvGb/ep7IQbjpeVXwpK/IAZrweRv2sg9EeEwSkrZVd2C7CN7B6NIjCgJcd+xqXHfsaretqiqsTTdxenwGp8ZrOC2FAXf06o67l/XpV5wQrhR0w9kDVV1zknaRAiD5u/P4O3biBoQqQFmXWJ+OsJmOkBa5czLbriDYOvkn0IGyFL5Q+ALAw8PDw8NDoFW7mo+lo7hJtjemQVYWGKVjnJlsYH02wmg2ZutM4QZz+nEPy71lLIvFIU9OKmRicTorWgoSC4yZVlTWFbsTNRx4xvShRoSKDLsSD8Me5gfFxtQWBgaGNQULYK0j7USc+f9SPAj/qhar1hwFprk9duuC5KwnAWitESgNpTQC0iAFEUBrRydRncRrXkkOUdYlZkXK3REDV1QAwnMPttCKwpZeFHgHo0uCIAhwcuUYTq4cA/BqAEyxWZ9uYm28gbXxGbw0XsPGbBN5UXCGSV2iWxZbGpEVtSvpNuVVgc10zA5FSiEOItx49DrEYYiyrqXA3+CCoKk6tqdnj65X0uQf8AWAh4eHh4fHrlCk0Jf04qtXTrjtTdNgfbaJtckG1qeb7KU+WcdLm6dgYCTsK0IvSrDaW8LJlRNIooQdemBQVqWjH42ziQtIK6qSJyFNg7KuhWJTtm5GW+gKQJtkSqBLrj84VxhAdBOyYcvp2yxWReDVXVIgESrbXAdbJDTGgOoKtmdiA6wUqbYDAbALjdCPXFfCAKoTbBdojVCFCMMQodaoxLrWUpG6E34tXR+mFrXCZEszCryD0UVDoAKcWDqGE0vHANwGwI61EdYm61gbr+PFjVPYSDeRdlyBajQuebyrT9GkEYURMpVjnE1ZiCyOYdcfvQZxGKOpOd349GQDaZE6JzJFiovyPWgDDhP8p9XDw8PDw+M8oZTCseERHBsecdvKusI4nWB9uokz0w1szsZIiwyjdMK++SJ2jIJQXHX6ODZcxbWrV3GoHniiO06nWBcOc1GWbmITBAFCBMhrFvOu9JbF6rRyKcg8gJn6fQAAGjNJREFU2d1+zfJy0Yr2CpvZXBugNqJD2EK/tinKdqIPVhdABxrUAKQIDdgakjslDWrUc8fhAkkBZFwCrS2c0KEwaeIOQxRGoiuIEOoQUZCLE5GZ2x/gDkS3YxBLgZAE3sHoYoDH2iqODVeBq1lX0DScQHxqdAanRqfx0uZpbKRjdp2qOMyrbioAFdIyd50oLZkVoQo7HTwFrQJcs3ICw6SPqqmxMeVwtLTMYBoluQUayhAKGY+HFb4A8PDw8PDwuIgIdYCjw1UcHa7iNtwEY4wEaE3Z73w2wjidoqxLbJY5RunY0WOiIHIUhiSMcfXKcdx47FqQUIkm+Qyb0zE2szGaiqfNS0nfPbcNVYuCCBqEpjFIqxxFWSCvbTha7exMrQbhMNAbDCB6iS2VQXeCb52PqLU+1UohJBaS2rA1iONR9+BODG0MatTIS4NJPmuzE8gWIUoC7LQEXgWIdIRQBQiCAFopl0sR6pAnjMSUlK22pkmno+AdjM4dSims9pex2l/Gq6++GQAXBZN8hpc3T+PF0Sm8uHkaG7MRsiIT7U2NqqqRV4XrEgRKIw4iBEGArMzx4ugUu2JpjdXBMm6Mr0ODGpvpBKPZmIP6DjkdjLYmBx5mEJF5Jb0eD4/DApJ2uYeHx95Q1hUmQvth96EZU3zqirnpMmkEmOZibwNAEnKqr1Yat19zKz799KOoJeysqivkdcmuKlXJGQl1xcEHWyFhbpEOReDYoKjYxrSsahR1jtIVCpJ34ATLhxuEjgZBKWiQc5MBMKcLmDdTlSIEAKSYaBoD0PyxLfVEgQsQLYWZVq0OQotA2aZgDyIOSEskgZYLBe9gdLEwyaY4NVrDF9dfYPrQdISsylE19dz3l4JCoBWiIEYc8tgo60qC7TjLZBD1UBuDd/1X/+29xpi37OPLOm/4DoCHh4eHh8dlRqgDHBms4MhgBQBcl2AiXYJxNkVacAopDHOiwyCAFiFsVuTIKlbKTvNZe2Ai9KMewt6ScNwDaNIwMlmtTIO64YCzStKOreagqNgvnYgQhQGicH6KQKSgiROHG1Nz+JrkL1ghc224q2CLhYPaXTBCN2JbowbO/FTeUwsnXoZyK8UkmgIFQqgCUKAAIwvCRGg6zk6VqVAZAJXw0ql1k+GijtNy0Sk4HA1JMQ1Jy9++J3SxpWSAvqQp9yMuGLyD0e4YJgMMk8FciNmsyPDC+kt4au1ZvLh+GpvpiMdDzeF/E/k4BMQduShOEGqNUTZ1lLzDCl8AeHh4eHh47DOIyLkPnRSRcdslmLqfVpgYKI2V3hIA4Orl404QayeejWlQN2yNWDVsO7poIk5EGCYDJ4oNdcCiR9OwqLLhgqFsanYukq5CURVQqoSqSwR6MXXFGEBpwDQsAK7rCmXToK5qsUAVQbNdRcfBc1px4mWwgLlszp702bQD624UaA07sbd5Cdxo4PeJiJyYmbUIJEJmggYBpGGMQSmhcgY0Z8NqSyoleggbwmYtTQdxD8Ooj2HPFgp99MKYaWGeZjSHfpTgtpM34baTN7ltWZHh6dPP48mXn8ELmy9jkk1RNTUmRYpJkQJgF64o8EnAHh4eHh4eHhcZi7oEaZG5DsE4Y7/7F0entz2G9cHvx71Oci8c5cEWDMY0yMsSaZHJZL1euKIc6gC9KHG0lVCHIANZ+TdCF7IFQzVXMBQVpzSb6GwHo6quZTIsFoymQVk3Lf2o4QyFZpfMhP1AezaSk1BtHx7FItIAcMQipiLBhabBaRe6wmQ11xEQepgImW0Kdl7m2DAj9z7NiZolMM0Kz3thgn7cwzDpYxgP2r+ppDnb7lGXenalIIkS3H7trbj92lvdtqzI8PgLT+LxF5/E2mQdWVm4DtxhhdcAeHh4XDC8BsDDY39ARMglV8BqAPbys67rHafQlsduJ6EW3cLBhSiJ5ahdkZ4L+SLiSaVMLtmbH6gbg8aKkeWcyrqSYoELhrKuFuoX7Gtoi5e241E3DWpTb6EgHS7YrIP2fbTC5vaeS2OWlGpLEQs05x0oKBeYVhspxuq269KYTjdBgu3YEpUn/oFoQ3pR4qhGURi1RYLrGMntIJzLVLgScGY8wrHllUOrAfAFgIeHxwXDFwAeHvuD8x17duW4Ej1AqwuwhULtrEXn79eOhrToeK1DD7U/WDkrQWE8WbcuOW0CsHKT2e7kkvMSmIo0p1+Q82Ghs2gY6gp17dj8qGpeCa9Em2ALgtoYNE0lgWvSVThkZQKvzM9FxDlYnUFXRxDoEEkQIgpj6SKw/sB+fpqmRmmzJupqS6HH0BLGppWSv1PI1qhWa6I1kiBCFETt3zBoi4VgrnAIoF8BBQMRHdoCwFOAPDw8PDw8rjAQWRtLDYTn9lhjzLbdhdpSf6TLUHULi3p+ZZ65/zypt8LhzrPAdFeoXXeBg71sKnASxVgJlxDpSISwbTFS1zWLcG2QmhQJhYiey7rkzABwsVCZCnVVu7C1BkBjbzfNgaIebX2vurkOZFiwDdOgqmswUSXFJrCli9C+j1pphFojCWMMwz6CIEAjugduA3HKM3dtWFOSl4U7A5vE281QUEpJOjN3F7QUHpbCZNN6z+ooBO22oFsMev3CRYXvAHh4eFwwfAfAw2N/cNjGXtPpOuxGUSqbyt0vqlK0AK3LUPuzbleqjYHppALbCa5S7GAUhRzqFQWh8+5v0Ih+gQuY7fULJRc/dcXnVsn5mhpNY1yxYmCLhYOH7no7kep8drrdBLY0sl0E9z4qhUBpCUTjFXwN5TIXrEWqLZHc3wMGirTLR5inLmkopSXYzcUtSLGgtwSt2VyFYEHhsD/6Bd8B8PDw8PDw8PDYBUopRCpCdI6zjy5lyXYZXBHhaEFWS8A6gtbetETT1CiaElmZu86DLSIA0S8oNVc4aMVpscu9JQ6Jsj7+4DV3ps7wOW3VLxRV5bQZpWQxWPqUEc2Eo9lcxp5C95mMOVuM7faQrosxDaoG4LS1ecqRDVyz4WhWrAwbkiaTe60UNDWoRbdgYKCVckm6NhOBJJfCvv8gcrazWinUDYkmxJ6p7Q4p133oIlB6joI0Xzxc2foFwHcAPDw8LgIO2yqkh8crBX7s7Y7tKEuWopRXJSclVznfrgoOUCtLlB2tQDffAIBb+bZdBivAjSSJOVABlCbn+29ThhsDdkqqKuRVgbIuMU1nmJUZyqYU6pJQpZrmwOoTlH1dAFxRQHblv7NV/ue0CZCfytK5NDTJT6U7xYNy722oA2jNeQy2e2DpRSACEXcZbKfCeSoR5H2X7IcF+hU5u7lQtlDtpF8I20A33wHw8PDw8PDw8Dh4sCvLoT73Kc9WypKlBWVljrwspMtQuG5DWVeYFRk20jEXDE0DLJjAU0fwHAURBqsDBErxpBiAMQRDDesgpFORVwWyIsc0nyEtMhSiYbCuPpdbnTBfmFjR8IIdDfHehnsnSroAqBuYynScplrhsUtglsA1pVrXI62YOhTJBD0KQhEeh/weikCaNQiBoxcBcMWEkv2ULUykcjGAy88oZ9W2BYN1tzrM8AWAh4eHh4eHh8cCXDBlqa6QVTknN5c5dxnKsi0ahDaUlinKqmQBcrOImsNe/koprPSXcWx4BIEOttiFAmVToShLlFWBtMhdh6GsKtSmweX2O+qoAdzPekuVYKRloMkmKreZCDBgjUbNhdRWW1fbUbD/cxQupcTSlIXNnJicoBfHaEzjqEpN02w1UQLAeRdJKF0cZTsUNrFZ9AoLKVSHB74A8PDw8PDw8PC4iOi6LCVRDPT39rjGNCirEmmZIy9zDpwqM+Rl2ek2lKJzKFrHoi30JCJCL04w7A1aSoxMXrk4qVBadyahItkORmPqfSEd1XZCveXJO+UAFJSjvWml264H2VC7GnUDmNogQ37Wcez/bZGgSSMMAsRBhF6YYJAMsNwbIAljAJzGXRYZynpRAvTh1gz4AsDDw8PDw8PD4wBAkUIcxohlArobbAqwDfrKq4I7DUWOrCqQl4XkJLAwuW5qNDBQSiOUrkKoQ/TipGMJqmAaw50DCWizicxVU6Moc6Y3XaYyYd581bgCoe50SlxkmlCHgk7OgZuok30MJ19XdY0S3KEZY3rW81pxs54rFLibsJz0sSwJ3YcVvgDw8PDw8PDw8DiEYF/9GNhDwWBpSdaVqKwrVHK7ECF0JtQkWziwALqBEZ2B7TYQERqZRLe2rSXKupPsXJWXtUiwrxEwWMiiEthuCLsHQVKTFUix9gLi0tRAnKLqGtUOhcJhhS8APDw8PDw8PDxe4ejSknp72N+6J5WVLRjawqHbdSiqUgqG0tGQLCWprGtUdcn2rXWDsqmQFTnKppJCwYqYLx+fvrVgraVyEKHvAr2vDUwLSHesRrmnYOhgujPtFb4A8PDw8PDw8PDwmMO5uidxR0AKhGprwdDer+R23XCxUNScKlxUOYqiQF6XKOqCiwSbzNw0MDCX3e3IwKAW+1Z7/5UCXwB4eHh4eHh4eHhcEBQpREGEKIiAPUgY5ulI7FRUNYuKB+4wOOvVukCWZ61wuanEKlVcgqSbcDHpR6+kib+FLwA8PDw8PDw8PDwuK6x+IdmzfqGe6yhU3SKhKpGWBab5FJN0ilE+RV5myKsSlRQWZwW5bTn+QQ1cu1Q40AUAEf1FAD8NQAP4t8aYn9jnU/Lw8PDw8PDw8LiMsMFpgQ72rl9YQD/KigyjdIL12QijdCyhajmKmhOYa2PpRp3nlue3ycOzMrtEr/Ly4sAWAESkAfwrAF8H4FkAnySiDxtjHt3fM/Pw8PDw8PDw8DioICKEQYgw2Ftab1e/kJY51kZnsDZZx/pshEkmyctVgbKuEKgARkLJDjMObAEA4MsAfM4Y8yQAENGvAPgWAL4A8PDw8PDw8PDwuCjo6hcGcR/Hh0d23D8tUrywcQrvu0zndymg9vsEdsB1AL7Yuf+sbJsDEb2XiD5FRJ+6bGfm4eHh4eHh4eFxRaIX9XDrVTfu92lcEA5yB2BPMMa8H8D7AYDokJuyenh4eHh4eHh4eFxiHOQOwHMAbujcv162eXh4eHh4eHh4eHicJw5yAfBJAK8moluIKALw3wP48D6fk4eHh4eHh4eHh8ehxoGlABljKiL6PgAfAduA/oIx5pF9Pi0PDw8PDw8PDw+PQw067DZGXRCReSW9Hg+PwwIiOvSWaB4ehxF+7Hl47B+I6F5jzFv2+zzOBwe2A3CemBDR4/t9Eh4eVyCOE9Hp/T4JD48rEH7seXjsH27f7xM4X7zSCoDHD2sl5uFxmEFEn/Jjz8Pj8sOPPQ+P/cNhtqA/yCJgDw8PDw8PDw8PD4+LDF8AeHh4eHh4eHh4eFxBeKUVAO/f7xPw8LhC4ceeh8f+wI89D4/9w6Edf68oFyAPDw8PDw8PDw8Pj53xSusAeHh4eHh4eHh4eHjsgH0tAIjoq4joN/e6/SI83zuJ6I7O/Y8R0a7uCUR0zcU4HyI6QUS/faHH8fC4mDjf8UZE1xLRr27zOze2iOiHO9tvJqKH93j8HySiv36u57XgON9HRN95ocfx8NgJRPQeIrp2D/t9gIi+fa/bL8J5+fHnccXgQsfhHh73PYvGRXdsEdHdRPSNnd/9CBH90B6OTUT0B0S0fK7nteBYv0dER3ba50rrALwTwB277nU23gfg5y/0yY0xpwC8QERvu9BjeXjsN4wxzxtj9nIB/eHdd5kHEQUAvhPA/3POJ3Y2fgHA91+E43h47IT3ANh14rEP8OPP40rCe3AJx6Ex5ueMMb+0y253A/jGXfZZhG8E8IAxZnQej92KXwbwvTvtsGMBQEQDIvotInqAiB4monfJ9jcT0R8S0b1E9BEiuka2f4yIfpqIPi37f5ls/zIi+hMiup+IPkFEew5OkHP4BSL6c3n8t8j29xDRrxPRbxPRZ4non3Ye8zeJ6Al5zM8T0c8Q0VcA+GYA/0zO7zbZ/S/Lfk8Q0du3OY1vA/DbcmxNRP9cXt+DRPT9sv0pIvoncuxPEdGb5L35PBF9T+dY/xnAu/f6+j089mscynPeJbfvJ6J/ILf/ERF915YVjx4R/QoRPUZEHwLQk+0/AaAn5/JBObSWcfkIEf0OEfUWPP3XALjPGFPJcV4lKxoPENF9RHQbcefiD4noN4joSSL6CSJ6t4znh+wYN8bMADxl3wcPj90gn+3PENEH5TP9q0TUl9+dNe6IVxLfAuCD8lnvEdE/IKJPyhh8PxHROTz/TmP7J7d+ZxFRn4j+IxE9SkQfIqI/I6K3+PHncZhxucchEV1FRPfK7TcQkSGiG+X+52WcudV8OYcHiOgBAH9HtkUA/hGAd8k5vEsOf4eM3yeJ6Ae2OYV3A/iNzvn8deJ55gNE9Muy7QNE9LNE9KdyrK8iniM/RkQf6BzrwwC+Y8c32Biz7T/wxPfnO/dXAIQAPgHghGx7F4BfkNsfs/sDeAeAh+X2MoBAbn8tgF+T218F4DcXPK/bDuAfA/ircnsVwBMABuAq70k5pwTA0wBuAFd+TwE4Kud6D4Cfkcd/AMC3d57nYwD+hdz+RgC/t+BcbgFwb+f+3wbwq53Xc1R+PgXgb8vt/x3AgwCWAJwA8FLn8dcBeGin993/8/+6//ZxHP498EVtBcAnAXxEtn8UnH54c+fY7+s8/10AKgBvkfuTzjFvlt/dLff/ox3fW577HwL4/s79PwPwrXI7AdCX894AcA2AGMBzAP6h7PM/APg/Oo//XwD8j/v9t/T/Dsc/+ZwaAG+T+78A4If2MO7e0jnG0c7tXwbwTXL7A+h8D3X2+QCAb9/Dc5z1nSXn9m/k9p1+/Pl/r4R/+zQOHwF/V34f+Hvv3QBuAvAn8vsfAfBDcvtBAO+Q2/8M7ffheyDzzs5jPiHj5DiANQDhgud+GsCS3H4deL57vPs65Lx/BQAB+BYAIwCvBy/o32vHtuz7WQDHtnt/d0sCfgjAvyCinwRPEO4hojvBF5jflUJKA3ih85h/DwDGmI8T0TIRrYInwr9IRK+WP2a4y/N28fUAvpla/lQC4Ea5/fvGmE0AIKJHwX+k4wD+0BhzRrb/JwBfssPxf11+3gv+sG3FNQBOde5/LYCfM7IyYp9H8GH5+RCAoTFmDGBMRDkRrRpjNgC8jIPZJvY4uNivcXgPgB8A8AUAvwXg62T15RZjzONEdHNn33cA+JfynA8S0YM7HPcLxphPy+2dxt1jAEBESwCuM8Z8SI6fyXYA+KQx5gW5/3kAvyOPfwjAV3eO9zKA1+zyej08uviiMeaP5fa/A4+F38bO466LryaivwueLB8FTyz+yx6e9/ZdnmPRd9ZXAvhpADDGPOzHn8crCJd7HH4CwNvA32n/GMBfBE+27+nuJN+pq8aYj8umXwbw3+xw3N8yxuQAciJ6GcBJAM9u2eeozBsB7sL9J2PMaeCsueZ/McYYInoIvMD8kJzTI+DxbMe3nW+uLTqhHQsAY8wTRPQm8ErDjxHR7wP4EIBHjDFv3e5hC+7/KICPGmO+VSYNH9vpebeAAHybMebxuY1EXw4g72yqscvr2Qb2GNs9PgUXHedyrGbLuTWdYydyTA+PPWEfx+Enwe3UJwH8Lri4/i7wpOFCsHXcLqIg7HXcbR1n3THYHc9+3HmcKxaNIcLO4w4AQEQJgH8NXon8IhH9CPb+PbLbc+z2nbUb/PjzOEy43OPw4wDeDl5Q/g0A/7M852+d+6nPYS/z1YqIlDGm2eOxdpprAruMu900ANcCmBlj/h24vfEmAI8DOEFEb5V9QiJ6Xedhlp/8lQA2ZYV+BdweBLg1ci74CIDvt7wtInrjLvt/EsBfIKIjxEKmb+v8bgxeBT0XPIH5FZLfBfDdcmwQ0dFzPN6XANiTC4OHB7B/49AYUwD4IoC/DOBPwCsgPwS+QG7FxwH8FXnOO8E0IIuSiM6l6wfw6uOr5DzGAJ4lonfK8WPLAz0H+HHnca640Y4v8Gf7j7DzuOt+v9hJxmkiGoKpPXvFbmN7Ef4YwH8n+98BpgRY+PHncZhxucfhPQD+KoDPykT8DHjx7Y+6OwmjY0O+Y4F5bef5zDUBfl23yu0/AGtUjwHnPteUOfPVYHr6QuzmAvR6AH9ORJ8G8L8B+DGZFHw7gJ8U4cOnAXxF5zEZEd0P4OcA/E3Z9k8B/BPZfq4rFj8Kpio8KO2NH91pZ2PMc+C2zZ+DL4pPAdiUX/8KgP+JWNB42+IjnHW8KYDPE9GrZNO/BfCMnM8DkEnPOeCrceGVpMeVhf0ch/cAeNkYk8rt67GlFSr4WQBDInoMLIDqdgneDx4vH1zwuO3w/4FbsBZ/DcAPCLXhE+AL27ngbeDi3cNjr3gcwN+Rz/QRAD+7y7j7AICfk3Gag53jHgYvYn1yr0+6h7G9CP8aPCF6FMCPgWkO9nvPjz+Pw4zLOg6NMU+BOwx2oeuPAGwYY9YX7P43APwrea6uuPijYNFvVwS8F/wWWFsDY8wjAH4cwB/Ka/ypczgOALwZwJ9auvoiXNQkYCL6GFgc8amLdtDzO4+hMWYiq/QfAotDPnQBx/tWAG82xvyvF+HcPg7gW7b5MHl4XDAOyji8UBC7Cf1dY8xnL/A4bwTwPmPMX7s4Z+bxSodQ5H7TGHPnPp/KnkBEGiwqzGRx6/cA3C4TpfM9ph9/HvuKwzYOLxTEbl+/ZIz5uotwrJ8G8GFjzO9vt8/58AcPA36EiL4W3P75HbD15nnDGPMh24a5EBDRCQA/5Sf/Hh57wt8DixEvaAIC1i78/Qs/HQ+PA4s+gI8K1YcAfO+FTP4Ffvx5eFxGGGNeILboXTYXngXw8E6Tf+AidwA8PDw8PDw8PDw8PA42rrQkYA8PDw8PDw8PD48rGr4A8PDw8PDw8PDw8LiC4AsADw8PDw8PDw8PjysIvgDw8PDw8PDw8PDwuILgCwAPDw8PDw8PDw+PKwi+APDw8PDw8PDw8PC4gvD/A5oB+3H+2QGVAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mod = GMMOutlierDetector(n_components=4, threshold=0.99).fit(X_orig)\n", "X = X_orig.copy()\n", "X['label'] = mod.predict(X)\n", "\n", "plt.figure(figsize=(12, 3))\n", "parallel_coordinates(X.loc[lambda d: d['label'] == 1], class_column='label', alpha=0.5)\n", "parallel_coordinates(X.loc[lambda d: d['label'] == -1], class_column='label', color='red', alpha=0.7)\n", "plt.title(\"outlier shown via parallel coordinates\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### BayesianGMMOutlierDetector Demonstration" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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KaUchM40ZZmoVskePseLFV1m7+yCDlQae6yPXXqtzAe64A7rVhMbHdeLwQw/Bnj06JOjaa7UYuOMOyOcX8MgNhoXFJCIaDAuD+e0ZLjQWQxLwD//wD/Pggw8yMTHB6Ogon//85/nUpz512nUutiTgi04AbH1lG3GSkPUyjBQHGS4O4tra0ZGohKnaDGOVSWYaFTpRSK1VZ7pRptVpUxqbZN3LB1n30kEKU2Vs24ZrrtGegdtvh/5+vaNDh7QQ2LwZjhwBx4Gbb9YhQrfeCkGwgGfBYHjrMZMQg2FhML89w4XGYhAArwcjABYxIqKeP7AT13ZohR0anaZu4ZzrY6Q0RClT6HkFWmFbewUqE7Q6bSqtGuVGhUanhUoSRmZqbNxznBU7XyU4PqHXu/rq2TCh/n5dVvSVV7QQ2LwZpqb05P/tb9eegRtv1OLAYLjIMZMQg2FhML89w4WGEQCLg4tOADzxyrOESYRt2eT8LALU2g3iJCZwfe0VKAziu7r5l1KKmUaF45UJpqoz1Dp1Ko0atVadKInxbIeV9Yir9hxn6PkXsQ8f0eE/V189GyY0MABJAi+8oIXAI49ArQaFgl5m0ybtSTCVhAwXKWYSYjAsDOa3Z7jQMAJgcXDRCYA/2fznDORK9OX6sC0BBM/xCFyPKI5pdHS92f5cidHiEP25Us8r0InCnleg3Kgy06hQbdfpRCG2WBQzeda3LdbuPkDuyW3IoUN6Un/VVXqif+edWgxEETzzjA4T2roV2m0YHNSJw3ffDevWGTFguKgwkxCDYWEwvz3DhYYRAIuDi04A/OnWv6XSrJKoBN/xKGYLlIICruNgWzYZL8ASi3bY1hZ+x2W4MMhIcZCMp2P3lVJUmjXGKhOMVSaYblSo1Ku04g5KKTJuwGhpiCtChyXbd+Nu3QoHDuhJ/caNs2FCg4PQasETT2gxsG2bFgfLlmmvwN13w4oVC3zWDIY3jpmEGAwLg/ntGS40jABYHFx0AmDrK8+Q8TJM12c4Xh6n0qyhlMJ1XAp+jlyQJeMF+I6H7/ooldAK2wCUMgVGS0MM5PqwLAuAMI6YqE5xbGac8eokU/UyrU6LWCW4tkNftsiqweWsbiWUtm1HtmyB/fu1GNiwQYuBO+/UYqBa1V2HH3pIdyFWCtau1Z2H77oLhoYW8OwZDK8fMwkxGBYG89szXGgYAbA4uOgEwIuHd1Np1oiTBNd2CRyXqXqFY+Vxau06SZLgOi5ZLyDrBeT8HFkvwLVdwiQkThIcy2a4OMhocYisnwG0V6DWbnB8ZpzDM8eYqs1QadWJ4gjbssj5WYYLg6wZXsmSSgv/iSd1LsD+/Xpwcz0DQ0M6YbhbVvTll/UyV1+tvQJ33gnF4gKdRYPh3DGTEINhYTC/PcOFhhEAi4OLTgBs2f0UOT+DZ3tESUS93SBRCt/xcB2H6XqZY+UJ6q0GiUpwbAffccm4GXJBhmKQx7IswjgCIB/kGC0OMVTox7ZsAOIkZqI6zeHpYxyZOc50rUwYRwjguR79uRIrB5ayfGAJ/VNV7RXYsgX27dMD3bhxNmdgaAiOHtXJww89BAcPgm3DDTdoMXDbbZDJLMwJNRjOEjMJMRgWBvPbM1xoLCYBsGvXLj7xiU+wbds2vvCFL/DZz372lMsaAbCIERH18K4nybge7TgEIOMGOLZNnCS9BODA1XkA5YYWA41OkziJsW0bz3LI+llyfoZ82kwsSRIc22YoP8BIaYi8n53XZOzYzBh7Jg4xWZ2i0WmSKIVruxQzOYYKA6waWMZoaRh/bFx7BR55ZFYMnBgmtG/fbI+B8XHwPN1b4O67da8B112AM2swnB4zCTEY3loSlTBTrzBY6Ge6Xp5X5tpgWMwsJgEwNjbG/v37+au/+iv6+/uNALhQERH1u//4x7i2Q3+uxJLSCIUgRyvSMf6e4+FYNlES0Q47iAhZL0ApmGlUGKtM0AzbJEmMJVYvaTgf5Mh6GUQE27LIehlGS0MMFQZmm4wlCZO1afZNHOLg1FEqjSqRSnDTbfRliyzvX8LS/hH6syXkyBHtFXjkEdi7Vx/AlVfOioGhIdi1Cx58UC9XLkMup0OINm2C666DNE/BYFhojAAwGM4/3VDU8cokE7VpojjizituYcvup/Adj9HS0Lwy1wbDYmQxCYAun/vc58jn80YAXKiIiPrWY39Dvd2k0WmilMK2bfozRUZKwwzkijTThF/bslMxEBPFEZZYZP0McRIzVSszVZ/uiQEAW2wCLyDnZwhcH9/xcGybgXw/o8VBiic0GTs4eYRXxw4wUZ2mHbWxxMJzXEqZAgP5PlYOLGWkOKQv1EeOaCGwZQvs2aMP5sorZ8OEBgfhuee0Z+Cxx6DZhL6+2bKiV1xhyooaFhQjAAyG80c77DBenWS8OkWz08ISoT/Xx3BxgMF8vy5fXZ6g3KwCusz1SHGI/lwRS4yhyLC4mDeRvu++2XnPm8XatfDjP35Oq1yKAuCia1NbblaxLZuR4iAoaHSaTNZnmKhNY1s2xUye0eIQw4UBmmEbhcISC8uyqLfrKAX5IMNQoZ8wjpiuz1BuVGmGLRrtBvV2HVtsfNcl42UoN6scL0+Q8zOMFIcYKQ4QuD7rl6zh8tHVjFeneOX4Pg5OHqXRbnA8nNR5CDNjFLMFlvWNsqRvmP4f+AHkB39Q5wN0w4T+6I/044ortGfgYx+Dn/xJePJJHSL0D/8A3/kOjI5qIbBpE1x22UJ/BAaDwWB4g0RxzGRtmonqVG9iX8zkWTZyGYP5Phx79vY9XBjQ97ROi7HKJOPVSV46+iqu7TJSnF/m2mAwGOAi9AB88Z/+J3k/R5RERGlH4HyQwxah3mpRbeuyoGIJRT/PSGmI4eIgYdQhThKUUliWECdJLwwocDzaUYfpeplqq04raqfLJthi6WpDno/v+hSCPMOFAUZKgzrUJ7XMt8M2r44d4NWx/UzXy3SiCNe28V1fewVyJZb1L2GkOMd9e/TobJjQq6/q19av12LgHe/QIUFbt2rPwLPP6rKiq1drIbBpkxYGBsNbgPEAGAxvnG5n+vHqFFO1GRKVELg+w4VBhlPjEoCanKT5zNM0n36SoV/4JSb++D6KH/wI7shobzvT9TLHKxNM18uALnM9UhpicE6Za4NhIVjoEKAvfvGL3HfffQDcf//9LFu27JL0AFx0AuA37v9S77lnu2T9AJQQKx3XXwiy2JZDo9Ok2qyTqAQRIR/kGM4PMNo3SBQnxGlokFiWLh1qO+nDpRW2mW6UqbV0l+A4ibUnAQvbtnFtl3yQ7cX9j5aGZi/cSnGsPM7uo3s4NHOcdqcFCL7rkfOzlDJ5lpRGGO0bmicgemJgyxZ45RX92vr1OkToHe8A39dCYfNm2LlTv79hgxYCd92lQ4YMhvOEEQAGw+un3m4wXplivDpFGIc4ls1goZ/hwiCFIIdMTqKef57Os9voPPcsyaFDxCohCQKG//6fmHznXSBCctNNBB/4ILm77kHSghHd8KGxyiStsN0rcz1SHCTnZxf4yA2XIgstAE6GEQAXODoH4K+ZrM3QCjsoZo/NSS35ttgo0ROWnJ/Fs12anSaVVp04iXVisJ9hKNfHaGkYhS772YlDBCFRCZ7j4tkeru1Q7zSYqVeotxtEcUSYxFgiKMARG8fWHoiR4iCXDa1gKN/fs7402k12H9vLnvEDVJu1XmfiTOpJ6M/3sbQ0Mt8rAHDs2KwY6PYQuPzyWTFgWbNlRfft0/kB11+vw4Ruv117DgyGNxEjAAyGc6MTdRivTjNRnaTebiII/bkSw8UB+mttrBdeQG3fTvT8c4SHDxFGIWHg0Vi/DnX11cRXb6S1cgVXr9rAy09vIfPIo/gPPoQ1U4ZiAXnnveQ//FHcdZcD2vhUblYZK08wWZ9BKdUrcz2Y78ex7QU+I4ZLhcUkAI4dO8Ytt9xCpVLBsizy+TwvvvgixZP0YjICYBEjIupbW78DSuE5HipOGKtP0ui05k1OLLHwbAfXckHAtm0yaWJvM2xTbdWIYi0GAtdnKN/PaGkIy7IJ45B22AH0BTVwfTxXVxeqtupUmjXqrQZxEhGpBAtBoRAsXMehGORZPjDKmuFVFDN5QAuMQ5NHefn4Po6Vx+mEHSzLIvB8cn6WYqbASHGQJaVh+rLF+aXejh+fDRPqioF162arCYWhFgIPPaSXdV245RbtGbj1Vl1m1GB4gxgBYDCcmThJmKrPMF6ZZKZRASDvZxltxgzuPYSzcydq+3bi48foRCGtwKW6bjXN9ZfDtdcQX7aKBKi1G7rDve1w67obeOzlp0mUImN7lHa9TOahh/G2PYvEMVxxBf77P0j23e9F8vqeE8YR45VJjlcmaHZa2JbFYH6A0eJgr/y1wXC+WEwC4FwwAmARIyLqvu99k2JQIBsENDstkiTBsmwshKn6DPV2g1gls+sgOJaNYzs4tq2r/bg+gevRijpUW/XehNx3XPrz/SwpDuG5Lu0wpBW26J7CwPXJeAECVFs1qq06tbZuOJbECYKk3gdwbZf+XJEVA0tZPbSi54qdrld4+dhe9k8eot5ukqgY3/YIvIBipkB/rshocfi1XgGAsbFZMbB7t35t7dpZMVCtas/A5s0wM6MbjN12m/YMXH89OBddTrjhLcIIAIPh5CilqDRrjFcnmazNEMcR+ckZRg8ep3/vQbxdL6EmJoiTmFYmoLxmJZXLV9O8Yj2yejW2rUtXt1LDU8YL6M+VGMj1UQhyWJZFJwqZqE4xVpmk3m4gIhTbMfmtT+I/uBnv8BHE97HuvJPsBz+Ce+NNkP5mq606Y5UJJqrTJCoh62UYKQ4yXBzslbk2GN5MjABYHFx0AuB//MMfkiiFiOA7HvkgS8HPEyUxcaK7+1piU23VqLXqREnE3DNgW3YvdMdJa/gHrk87Cqm2arSjDoLgOS792T6WlIYIPJ9W2NGCQyXYltUTAyiotGpUWzU9oU8SrQDS8y6it6VLgy5jWd8I+SBHJwrZN3GIPcf3M1mbphNHPU+F9grkGSoMnNwrALNiYMsWeOkl/dratVoI3HEHTE5qr8Cjj0K9DsWiFgp33607FRsLkOEcMALAYJhPo9PS9fork6hDB8m/spehfYcpvroft6Kr+kSFPNV1a5hcs4Ly5ZfRWTKK53i9bvRxWoa6EOQZyJfoz/WRnVvNRynEsub99urthq4EVJkkSmJcy6Zw+BjZzVvIPvY4VrOFvWQp7vveR+YDH0ZGRvRY4pjJ2hTHK5PUWnUskZOWuTYY3ihGACwOLjoB8Fv3fxnXcXBsh04YEit9AXVth6yXoRDk0qTgiASFLTaNdpN6p0EnDueHCiHYlo3ruOn6AZ7j04k61Nr1XiiQ67j0ZQqMlobJBVmanRaNdpNEJTr3wMuQ8XySJKHarFFp1XreCbGsXs6AlYYc9WWLrBxYylBhgLyfY6I2pcODZsZpdBqAbmqWcQNKmQLFbP7UXgHQHYW7noGuGFizRk/4b71VhwY9+CA88QR0OroJ2aZNWgysWWPEgOGMGAFgMOjQmonKJDO7dsD2HWRffoXSqwfINNt4tgODg7Q3XEF57SqOr1pKbbBP54vZDoIQJTGkpan7ckUGcn30Z4u4TtoBvtXSoZ67dulr+a5dyNe/jvrsZ+Fd79IFH9IcryQNNxqbE26UVRa5Z54j89AjZHft1t7xG28k+6Hvw7nzzl6n+a6IGKtMEicxgev3yol6jgkbNbwxjABYHFx0AuA377+vl/wrCI7t4FoWUZIQq7TMp1gEadUdz/GIkzht+KUvwM12g2bUIZkXKqQ9B57j4joOGVd7BjpxSL1V77lnHVvH+Y8Uh8h5Ae24QzNsE8exXs/LkPECojii2qpTblRpR21UokuT2mKnfQmETBr2M1ocYiBXwrJsjkwf48DkEabrZeIkxrYdMq5P1s9QyhQYTPMVTuoVAC0GHn1Ui4Fdu/Rrq1drMXDzzXDokPYMPPMMxDGsWKGFwN13w9Kl5/cDNFywGAFguFRJ4pjyzu3Un3qC5Pnnybz8Cl6zhe94uKNLsa67jsaV65lavYyxrEc7DokT7SkWJDUECa7tMpAr0Z8vUcoUsUV0wYddu2Yf+/ZBkt6Xli8nuSzhVRYAACAASURBVPJK7J/5GZLPfAY5eFBP4G+/XYuBG27odYs/sRKQiJCbrpDbspX8w4/iTs/glPpw3vUu7RVYtw5IcxZq0xyvTFJpVhGEvlyR0dIJVeoMhnNg586dbNiw4YL6/iil2LVrlxEAi5VuGVAL6ZXvnBUDYGHhOA4opUuoKYUlgms7OtTH0a7VWMXESYIAzU6LdtwhjKN5+7IQbNshcLUlPuMFhHFIrdWkHbV16VDHIe/nGC4OUgzyNMMWrbBNGEf4jkfG8wncWTFQaVZpRR1QYFna++DZLo5tE7gBeT9LX65Ezs/QjjocmT7ORHWKZqeNiC57mvECStkChVSEjJZOY7GZmJgNE+qWDl29WocJXX+9vtls3gw7duj31q/XQuCuu2Bg4E3//AwXLkYAGC4ZkgS1Zw/NbU/R3PYUvLADqTewRLCXLsO74Ua8G26idvlaJrIOk/UZ2mGn15dGqfR+ZFlkvUwaz18ij410rftdC39FW+7JZHR3+CuvJLz8cqZXLGHajplpVLnt8ht5es/zLJ2sMvTEM7iPbNH5XoOD8M53ajGwYgUwm48wVplgMu0z4IhN7qWXyW9+hPwz23HiBPvy9QQf/DDOvfdCoQDQazI2VpkkjEM8p9tkbLbMtcFwNuzdu5dCocDg4OAFIQKUUkxOTlKtVlmzZs2894wAWCSc2Aegi4WFSv/rLYvgWA4WEKN0PwB0DoCenAdpmL4iQYFSRElEO+zQiaMTvAOCZVlkHJ/AC8h5AWEcUe80aYVaDDi2Tc7PMpQfoD9bpBG2aIatnhjIehkyrk87DnthQp1UDNhi47kugRcQOB6O7egcAzcAEWqtGjONKpVWjSSO9VjmVBAayPWd3isAWgx0PQNdMXDZZdozsHGjbtX90EO6IZkIXHutDhO6447eDcJw6WIEgOGiJY719W/7dsLnniV8/jnCSplYJYQjQ8g115K56RZyN99KrZhjsjbNZG1a3yuiDpZYOszHsrEtm0Imz0C2SH+5TmbPvtnJ/r59vdwwVqzQfVw2bEBdcQW1kUGmWzVm6mVq7W4YqEtftsT6JavZcfClXrfgPjfDslcOUNzyONa2bdpjcOWV8O53zwsRiuKIydS6X2vVUUDQbJF/4mkKDz9GcPAwnh9g33kXwQc/hKQehUQlTNcrjJUnmG6kTcayXU+1aTJmODNhGHLo0CFardZCD+WsCYKAFStW4KZhcl2MAFgkdDsBu7ZDO+rQjjqvXSb9V817TVKLvo1CkSSKbhym6zi6f4BlkySKGB3XnyQJrVDvo5tn0EWHGPn4rkfRzxMmIY1Oi1anpV2/tk3WyzCY72Mw20c9bNGaKwb8LIHr0Q47VJpVau1GTww4zmwuQ+AGPUtSrGKiOKbRbtLoNHWyshIcR3s3+rJF8n72zF4B0AnCXTHw4ov6ta4YWLdOx6Bu3gyHD+vKQTfdpD0Dt94KgWk3fyliBIDhoiGKtKFj+3bYsYPkhRcIqxXacYfG0ACNKy5HrrmW/NveTt+KNTTDVm/S3+y0aUcdLBFAl6N2bYd+XIaOTlA8eARn98t6wl/VE3ay2Z51nw0b4IorCLMZZhoVZuplphsVotQDXQjy9OeK9OdKZL0MItL77bXCdi/5tx11cCyb0cRm9JkXCDY/Avv3nzJEqNFuMlaZSBuR6X1lDx0l/8ijlJ7Yhtdo4SxZiv/+D+C89329LvPtsJN6BSb0Pm2HkcIAI8Uhsn7mLf/oDIa3GiMAzhMi0gd8GbgGPWf/pFLqsdMsr/7owT+jGbV0U680iVclCe04nGe1P+1+0/VA9bwAIrMhObZtk8QJCLp0KBadOKQRtoji+DWeBt/18F2fvJ9FqYRGp92rGGSJkPUyDOT7GMiVaHTatMIWURzhu9oz4Ls+7bBNuVGh1m4QxTpRzHN9ikGOwXwfvusTxdpDUW83db+CKCSMw7QUqpBxM+SCLAU/x0D+LLwCMF8M7NypLVSrVukwoZUrZ8XA5KTuRvz2t2sxcNNNpqzoJYQRAIYLljDU17EdO/Skf9cuVKupvbgjQ8ysWUlt/TrUNVcxsGINg/l+wjhksjbDZG2aertJO+yktRKEjOtRmCwzcnic0oHDZPbuRw4cmLXur1zZs+6zYQOsXIkC6u0mM40y0/Uy1VYd0Dll/Vk94S9li/PKckZRxOHpY6weWcl4ZZKhgg7LVEpRblR1mE/a8CvnZVg6VWPg8adxNj+sxcfAANx777wQIW3dLzNWmWS6XiZRCjuKyT+3g9KWreR37sazHJwbb8L/wAeRO+8Ez+vt83hlgql0n4Ugx0hxiKFCf3o/NRguPowAOE+IyFeAh5VSXxYRD8gqpWZOs7z6zb+/D1ssPNvDcRyUSgijCIWO90+UIjwhhOdMWCIIuoC/SpKeGLBtB1sEbesRvV/XI04SGqnVPpknBnTFoMDxyXkZEGhFnV5FIICsn6EvU2QgX6QVhrTC9qwY8DN4tkczbFFuVGl0msRxDAJZL0hLtg3hux6VZpXpeiUtdRqnic468cy27F7ScM7PMloaOrvqDlNTszkDL76ob2grV2oxMDKiew9sSeNP83n9+qZNcM01PUuT4eLECADDBUOno69Vcyb8dDooIFyxgsq6VYxftozKutVIXx9D+X6GCgMolfQm/bVWo+dhdlsdBo6OMXDwKH0HjpLddwCn2dLe5lxu1rKfWvfnhuCUG1WmG2VmGhU6UQjoxmD9uRJ9uRJ5P9v7bTXDNuOVSQ5MHGasOkm5USVKIv79vR/jDx74Bnk/y/KBUa5cuo7R4hAioqsSVacYq0xQbzd1aU8vx9KXD5Df8hjy9NOzIULdKkJps7BO1GGsotdthW3iJMabrlB89HH6tz5JZnIGt9SHf++7sN/3ft2NXoQwChlL96mbjNkM5fsZKQ31jsdguFgwAuA8ICIl4FlgrTrLQeoQoK/SidokKumV1rQtB9d2sEXHLyqlI/vjJNETYzU/P+CU20db9CF1u6br2JaFLTZi9d7FtmwCxwcLGu0WzU5zXgMyAEdsfE/H8juWTTvqaOt/moCc8QKKQYGBfJF2FOkQIpXgOy4ZL4PnODTaLcrNKs2wTZLEWGKRC7Is7xthad8ollgcmTnOWHWSVrtFmMQoEkRJTwjk/Az5IHd2uQJdpqa0Z2DLFnjhhVkxcNtt0Nenb7CPP67L1g0M6BvL3Xf3bhKGiwsjAAyLlk5HT/LTkB5eeklb/UVgzRrCjRuYXruKY8tHqHkWIsJArsRQfgDbtpiqlZmoTlNt1Wh12gTHx+g/cJS+g0foO3iE7PEJXMvBtm3tHd2wYXbSv2JF73qnlKLZaTHdKDNdr1Bt1lAobMumL7Xy92WLeI5LGIVUW3Wm62WOzBzneHmSWrtOJwoRdBnoQiZH1svwgevv4Tvb/oWZRplGp4kgZP0My/pHWT+6mqWlEWzbptZqpA2/poiSGN/xGFEOo9t24D340GyI0G23aTFw442Q9hjoNgubrE0TxrpqXm73q/Q/+gSlZ7bjK3DXrsN7/weRd74TSqXeescrE0ymTcZyfib1CgyYJmOGiwIjAM4DInID8CXgReB64GngPyil6ics92ng0+nTm3/z/i/p2H3bw7KEKI4IY+0BSO34OLajG37Ztp78K0WUNl3pCoezHmcqBrpYYmGJhYh+TymF57hkvQy2bVFvN6m3G2m951ksLHxXVwayLZswimhHbeLUMxC4PoUgT1+2SJhEtELtNfAc7RmwxKKVegbaoS5h6tgOpWye1YMrWT6wlFqrxr7JQ0xUpunEHeI4JkHhWDa+65HzdNJwzs+cvVcAtBh47DEdJtQVAytW6JyAXE7fcLdt07G1S5dqIbBpkxYMhosCIwAMi4ZWa/6Ef/dufe0R0TlM115LfNVGplYtY0y1KTd0LH4hyDFUGMBz3DSEZpL65Bjuq3vI7ztI34EjFA8dJWhHujdMqQ9rbijP+vU9636XOIkpN6vM1CtM18s9r0G3+k9/rkjWy9LoNHuV4MbKOnRHhxbpkp1OaqzRxiKd49aK2qAU/+b27+Nbj/0NXtr4UoeL1miETb0vN2BJ3whrR1axvH8JjmW/pj9AKZNnyWSN/seexNq8eX6I0L339q7VulnYNGOVSaqtGmEUYTWbFJ96hqHHnya/7xBeJot3+53Y732vDgW1baI4YqI2zVh5glpbV0wazPczUhyimMkbr4DhgsUIgPOAiNwCbAXuVEo9LiK/A1SUUv/lNOuoL33vmzQ7LeIk0h2Be828HFSidEy80km+eh0Lp1du0yFWMWEUESYRSRKj6Fr99bZOJw8E6YUaKZWGDkm30ZfqdRDO+gGBG1BvN6g060RxOG+rFqJDhVxfJxyrhFakJ+wAvuuR93KUcnniRCd/JSpJy4D6iFg0O00qrTphpJub+a7HUL6ftSOrGC0Oc2j6KAenjlJuVnsl6kTpvgmFIEc+kyPvZ8/NKwAwPT0rBnbs0GJg+XK45RadI9C9MSulOxNv2qQfw8Nn3rZh0WIEgGHBaDZ1SGI3pOeVV3TlHsvSHsdrr4VrrkFt2EDZShivTDJVnyFOEgLXZzDfT+D61Jo1ZnbtQO3cib9nL/l9h8iPT+LaDq7r4axZi3v1tVgbN+oJ/7JlJ/VmNjstZhp6wl9pVnUcvWVRyhTpyxbwXZ9OFFJr1am2atob0KpTbzd0Txilvcqe7eK5vjZkRbNdgW3boRjkyHgZROCuK2/lwRcfoxW1qTRrs4YhL0Mn6lBpVWl22oA2JI2WhrlsaDkr+pdgW/a8JF7bshkOCizZvY/Mw1tOGyLU7XQ8liYdh1FIcPQYA489ycCTz+rmZ8OjuO99H/Ke9+jzBT1PxHh1ak6Tsa7ByX3N+TQYFjNGAJwHRGQJsFUptTp9fhfwC0qpD51mHfUHD3w9LfFpEycJ7ajd8wB0J+WOZYMIsUqIT0jatcXCsRwyfpAKhkhby1UCSvUEQXeSf2J50deMCSEtCDHb9VfN5gNkvYCcn6XVaVFu1mhHndckEbu2oxuQWQ6JUrTjjvYMKNWz+hQzORIFnbBDohSu4+C7PihFo9Oi3q4TxhG2WARewLK+UVYPr8CzHQ5MHWUydXHrC3mEWELg+BQyOfoyRfJB7ty8AgAzM7NhQt1J//LluseA4+ik4pdf1stedZX2DNx5J5RKZ7d9w6LBCADDW0a9rif8XQv/q6/qSapt6xj7a67Rj40bIZOh0W4yXp1ivDpJJwqxLZvBXB+ZdkTy0k4azz+L9dJuMvsO4LQ72JaFU+rD2ngV/rXX4V99LXLllboW/0lIkoRKs5aG9pRphXqynfF07xbXdlEo6u0mtfQaW2+30jyxsDexF8vCtWxEpNeHRkTwXI9SJo/v6Fr7zbBNpVklTHMGuh4ASyyKmQKu49CJOjTaLaIkwnM8PMshTHS/ma4XInB9Bgv9rBpYxvK+URSK8eoUk7VpEqXIehlGlcPwMztwHvieLlN6ihCh6UaaOFwr69y3sEN++05GHt9G6cXd+I6Ld90N2O97n77GBwFxkqTehAkqzRqC0J8vMVo8B4OTwbDAGAFwnhCRh4EfU0q9JCKfA3JKqZ87zfLqvge+Qd7PkaBodJppzL8i6Tb/inVCLGn5NFsESywtBpLkNd1/bcsmcH1ssYiSmHYYkqi4N0XvXqQFQYnqheyccoxpIVLdWVi0oBALO43dz3tZIhUxXa/QDtvzPA7dUqWu7WoRA4RpV0kFuJZDLtDx/AJaTCiFY7n4rkucJLoZWUfnAri2Q8HPsmJwGSOFQdpRm/HqFNVmnVq7Tr3dJIojLMsm52coBXn6cqUzdxs+GTMzs56BrhhYtkzfqEHf0A8d0la7G2/UYuC220550zUsLowAMJw3ajUdWtid8O/Zo68fjqMt090J/4YNvTLEYRSmk/4p6u0GkiiGpqsU9h/Cemk30Ys7sI4c05XYLItw5QrsjVcRXHs9uetvwl912WlzldphpzfhLzeq+r6hFJ7r4douIkIn6tCJwvS+0aYT6aIO+rWoV4taBJQSXNtGLIuclyGfyePZDiSKWqdBpVnrCYXACygGORTa2/DhG9/F/c99D9/xqDRrtFMBkguy+I5HGMd0wjZhEuM7LiIWYRTS6DR1ToHonIL+XJFlfUtY2jdMnCRM1Kapteo6JyJbZMlUneKWrchDD82GCHUbjaUhQnMTgLshTHa5wtDj2xh64hnyk9P4+SLO3fcg732v/sxEaHRa2itQmSSMo7TJmDY4mSZjhsWMEQDniTQP4MuAB+wBPqGUmj7N8r1GYCKCg0XgZ8l6AYmKaYZtHfeukl6XYKVUz+U6t6ayFgTz4/QFwbNdXNslkZhOJ0rFQOoXEBBmQ36SRJFwakEgc/+f3mwsBNuydHJukEMUTNXLtKL2vPF0vRyO42CLnXY3jgnjGBFwLIecnyHjZXQTM5UgSqW5Dw5KKertBp20PKrv+PTniiztGyVwXOod3bW43m5SaVaptxu6ilDa0KwvW2Qw38/SvuFz8woAlMuzYuD55/XNfMkSfTNIEu0ZGB8Hz4O3vU2LgZtv1s8NixIjAAxvGpWKnuh3H90GWa6rrxFzJ/xzrglJkjBVn9FGjONHCPbso+/AEXL7DuC+uodOraabOWYDmmtXE61fT/66G8hfdyN9A6M49qlLVSYqodqs64o99Qr1dkN7lpXCddxZL69Iem+BOG0G2QzbtMM2YRz2KoF2O9DrkMs8hSCXlpeOqbS0ASZJK85lvQzFTA4QGp0m5UaVaqtBonSp60/f+yP8wQNfR0TI+7ostOd4VJs1GmGr5ykOPJ9EKZI4JkritCuxDotthR3COOyFqRYzeUZLwwzl+4iTmKm0F4HnuAxnSizZvRd/8yPw5JP6mn3FFVoIbNoE+TxKKWqtOmOVSSZq07Q6LTpRh9ze/Yw8/iyDz+4gEyvc1Wuw3/s+LST6+3UZ0lqZ45WJXn5CX7bIaHGI/nwJS0w1OcPiwgiARYKIqN++/z6wpNfMq3t03QtuN4kqUnEv9j1JkjRfQF/Au4m8lqU7CMep1+DE+H9LLG1RQZdbi5KI3oTekl6DMYR0H6dPME7vIT0vgSWCLTaB75MPcthiU26UaXRa85KIJR2L67i9C6T2dujEN8eyyXgZAtfHEuk1lXFsp3fDaqY9DESEjBcwmO+nlCnM8aAk1Fp1phsV6u1mL5laJ7MVWdY/yvL+Jefuuu2KgS1btBhIEi0G1q7ViXsvvaSXyWZ1A5t77tExvae5WRveeowAMLxuyuVZ6/6OHboaDejJ/caNsxP+K654jRFAKUW1Xmb6xe00dzyH/8oecnsPEExMoZKEThJTXjJEeeUy2pevwdp4FcPrr2KoOEghkzvthLIThcw0KkylpT+bnVYaQmQhloWf5o05ttMLOa23G1RaNeqtOq1wNnTUtmxc2yHrZyhm8uT8LJZYdKKQSrPa6wtjW9rAkvMzgNAO20w1ytRadR0WJOBZLoEb4NgWIPzrt3+Qbz9+P7HSjSA7cYglFvkgx3C+H9/xqbRr1Fr1NB/BJnA9fXcSeh5ypRTtsEUnjojSinKObZP3swwW+ikGBRIVU2/r5OJiJs9o4jLw9HPYDzyghZrjaM/tu9+tG43Z9pxQH5103Ow0kWaLgWd2MPrkM5T2H8b3Apy336a9AjffDI6TNhmb6OUY6CZjg4yUhsh6puGkYXFgBMAiYa4H4LTLoSfMnuOR8wPAohN1Ug9B1JvoC4JlWVhY2LaFhZCQEEbxa7r/QtrqPQ0n6noYQNKqQGm1oDRvIDmJoDj1eNPqRZbOBcgHWWzbpt5q0Oi0ejkOvTGnF27dgj71RHRvRI5NxvYJvABbRAsJESzLRqXj7sQd4kTh2jaFIE8+yOGnFn7XthEsJuszVJrVtBIFvZvbQK6PVYPLWDW4TOcgnAuVynzPQJLojpOrVs3W7m42dY5AN3n4yitNWdFFgBEAhrNmamq+hf/gQf16EMxO+K+9VlfVOVkzwXKZ1o7nqT+3jfCFF3D27MFud3QoTy7L1MqlTK1YwsyqZcRr19A/uIQV/aMMFQbIeMEpDRRdq/VEbZrj5XGm09r8SRLj2i6B55P1MuT9LI7tkKgkzS+YpNKs0Wg3iVKDiWPZ6bU6R1+2SMYLsLBohC2qzSqtUOd6ubZDzsuQ9QJELBqdJtP1Co1OkyiJUInCtm0cy8ISXRBibh8bx3b41N0/xJe+9w2UUr0u9AoIQx1qZNsWeT/PSLEf3/WpNutUWnWiONI5Bo6rE51tpydKojimGTZ1qWyVYMts/5hikCPrZYlVrI/VdhjM9TE6VSX/8KOnDRFqdlqMV3XicL3VoBm28Y+Ps+Sp5xh96jmy9Rbe4BDWu94N73mPbpKmFDONCscrE0zXyigUhSDPaGmIwXw/tukxY1hAjABYJIiI+uI/fgVEW8CjtKzn2WBZFr7l9iwz1U6dTtR5TUy/nVb1sS1bu3mTOI3Bf+15tEVbaEBbWLq5ApYlPctTolIxcA7lR61UmHi2R9YPsC2bTpR2AE6i3kRM0uZktmVhpdWEtCBIQIFlW2QcHy+tNqSPNUHEIiEhihPiJErdwh7FTA7X1l4G3/XIuEGvI2a1VUvX1xamrKdLiV42tJzlabWJc6JSga1btRh47jktBoaHdd5Aq6XjgMNQNyDrlhVdvfrc9mF40zACwHBKJibmT/gPH9avZzI6+b874V+37rUT/jjWluWXXiJ+8QXaO7YTHTpIlMQoy6KzcgW11SuYWD7K+LJhWgN9ZNMyxiv6lzBY6D9teGI77HCsPM7x8jgTqZVfh7roksz9uRL92RK+42svaLvO4eljTKdhQFES6RBSsfBdn0LaTyXj+SjRFW/qc5qGeY5Lzs/gOz6iFM2ozXSjkobIhMQqTf7FQizSBpE6vNS2bHJehsDxaUcdap0GjVaTn37/J/jiP32FvJ8jcD0aYavXVMwWu+eB1pN1m3yQZ7gwgO/61Nt1nTcQdUApHMsh8Hx8x8N1XNqh7k3T6OhKc93cNSv1IviurwVHWu4652cZyfYx8tJe3AcfhKee0p/hSUKEZhqVXohQo90g6rTpf+lVlj75PIMvvoxv2Tgbr9JegbvugmyWThQyXp3keFk3J7Mtm+HCACPFIfJB9s3+5hoMZ8QIgEWCiKjf+vv70jKf3Xh6W4fyKKVvGulEu1uy86TbQV9sPVuX7IziWLt/51ja52IhiGVB15V6kmXkhL8EXfXB7noH0hKjSRKfMXfgRLpjzXgBtmURxdGsZyAdT1c0WGnZ01jpsKckzQ2wbJvA9nFdB8dyiJVC0uNJSObdQAI36CVm+a5H3s/2EtC6ZUW1h0RhWw4ZL2BZ3wiXDS5nuDh02ljbk1KtzhcDcaytS6Oj0GhoC2KSaE9BVwwsWXJu+zC8IYwAMPQYG5ud7G/fDseO6ddzOT3hT8tysnbta0P5ymVdKjh9qJd3E9a1MaaZz9JYcxn11Sspr1rOxOgADUuXV84HWZb0jbCyfwkD+b6TGhy6jbjG0yTVieoU1VZdW84ti7yfY6jQz3BxkJyfIY5jpuplDk8dY6I2ncb96zh+yxIyboZCJk9/VndUjxMdv9/qtGhHnZ6hRHdwd9NQy3Yv5KdraVcoXWFOuk0ktbU98AJyXhZHoNbWfQK6jSK7ZaUty+I/vv9TdO973apx+SBH1gsI45hW2JqTPya6ESSWLgKRyeswIdfv5Xu1ojZJopOjs26GXJAh42Zohk0qjZruT6OSNFRWiwHPdrDExnMcbMsh6wUMFQYYVQ6lJ7dh/csJIULdKkK23etWfLw80QsRsio1lj77AkufeJbC+BReroB11106tOjqq1FAtVXjeHmiV7Uo52cZLQ4xVOjHMU3GDG8RRgAsEkRE/eb9X+pVYdCNrpKeIOiGx3QFQbfOP8CJpTdPfO5YDjnPJ+NlqIdNmp354UJvaNzpuGzb1r0DoOdd0AnLKr3gc8a9Weha/r7j4ThOWga0SRjHPTHQ8wzYdhrWpL0Ccc/CY+G5Hl7qFu7GhyZJQkyCSvQN03M8AsdFLD3unJ+hlCkSq4Rymiug5lRXctIE4iWlYZb3L2Ew34/vnmNib1cMbNkCzz6rxUBfHwwO6vKA/z977/0s2XXfiX1OuqnTSzNvAjI5wFAgSCEQAEGQYABASaZXsuwqy7u1rpXLXle5avWDav8N7VbJtVW2JVmWQ1kq7apW3lJYrkRQJEGCAAZDYgYAASIRYWZefp1uPPce//A959zuSXgDgtIQ6C85gzev3+sbuvucb/gEl2zccQcVAw8/DCwvX/Nrsohri0UB8BENY4CNjfmEf3OTHut2gTvvpIT/rrtoQjcL19AaeOMN4vm4pH9jAwaABjA9vo69G49ifPMN2L/pOKb9BGlVeDnjftzF0aV13LR6DIOkdwm0p9IVxsUUw3SCLetiOy0y1A1xnXpRF2u9Zaz3CUqSVwU2xzs4t7dBEBUr0wkYn8z3ox6WO330og6KusIkT72yjxLC6+8LLlE3FdIyxzibIte55Zw1BLU0jU/2OReIVYQkJJ5W3dQYpWNy/q3JjwYAwGjdjmSAKIwQiQBVU+OfPvzr+L++82cA4GE1bvItOEesYnTDGIwzZCXdPyoIaDcQjCa8g6SL5WQJSRDReVsyMt0vUidaSnqIgxh5VWB3uo+iIrNKarS1/Dk6tkAcROhFXRxbPowj22PE33kS+OY3acK7vNxChG66yQpTZNgcbWNjtI1JPkVRFui9cx7Hnz2D9R++iKiqIY/fQL4CX/kKsLpKJmPjPWyMtjAtMnDGsdol/5petDAZW8TPNhYFwHUSjDHzO3/1ezMQGArBOMC4XXjNRck9LFYeMKbxv3W1goAzjkBIRDICY0CuWzKxsc/gzsFc9FwHCTe5kEIQ+t8WM7WpvYkZPf+Vpxju2gSXDgLXOgAAIABJREFURFaTEjAkDVpZ4zFjn4s4AxKcMZJL9dApIjGTtB0R3YwhRQxHinZk4FiFEEzAMOIDLCV9dMKENpF8SvCjpkFtz11ygW6U4FBvFYf7q1juLKETxte2WI/HwPe/T5MBVwz0elQQTCZkSsYY+Q584QvAQw9d4tS5iA8mFgXARySMAc6fb5P9s2cJ4gMA/X5L2L3rLuDmi6Q09/YoyXcJ/49/TNweAFhZgT5xAvs3HcPm8TXsHV7DqKG1KqsKGGMgGMdyZ4DjK0dw48qxOciHI+CSudYUe9Mh9tORTc6JQBqpCGvdJawPSLksKwtcGG7iwv4WNkbbvsPf2GMpqdC30sfdKEFZlUhtd1/XFZRQBBVSIbgg7HzqO/UlyqpAbdXZYCGgwnIDOkGCJIihhEBa5hjlExJ3sFNbd9sc7yuQAQSnY7TJvUQniPDfPPSr+KNv/1vk1jU4kgTpnJQpNaosTInbRL8TxlBCodIVyrrySnDMAEIIhDLAUtLHwHIXyqrEKJ9gkpNqHAOQhAnWusvohDEKXWJ7vGuPVUMI4Sfbfhpv1YwO91dx02Aday+/DvnEEy1E6MQJ6u5//vNAr+cVnTZG29gakZQrihxHXngVx589g6XXf0ImaffeS1yB+++HkRLTIsXGaBvb4z3UTY04iEhOtLcCtTAZW8TPIBYFwHUSjgTMLWmWEOnzibuwf/SsFOgB3H2v9rjrDknrFeA63u3vMSourOKCMddWElCRIkh9whYotWlg0FhZOeP+f9VzFYxDMgklJTjnKOsKlbbOyFS1QDABwelYTgrVFQMMDIoLBEpBckW+B3XtcbCcc0QyRCgVHG41DmMsxT0ADNOCumV+AmM3MiUkOmGCQdzDSncJK50l9JPutUm+TSbzxYDWpBzU7xOsIMto/HzffTQZ+MxnyJl4ER9ILAqAD2kYQ5j92YR/d5ceW1pqk/1PfpKIni5zdd39GTiPnwxISXj/kyehT5zA7g3r2AwYaepbHfuiLv00c623gmPL67h55RjCIPRQHtehnuSp7cSTdHFVa6/Q1o97ODI4hJXuALqucWG4hQvDTdvhzzyhVlgYSzfsoJ/0kASR1+8vLBeMzBjJoZ3BINcVxvkYkzxDUZfWdX1m4mzhlpEKkYSRl2SeFinGlhfgoDlU4DBwLqGkgrD30di1mYF5EnKkQiipUNc10jLFf3X/f4Y/f/brCIMAWVlgmk+RljkMiKAbCoVCa2Rlajli9mWwHfpABoAxKHSJsm6NyQQXCFWIftTFcneAWIaomhrjbIJJMUVRFWBgiMMYh3ur6EYdmgxM9qwHjwFnNBkASBa1MURq7oUdHF1ex21BD0tPnwZ74gnidV0GIpRXBbZGO7gw3MJ+OkJa5ujs7OP46Rdw7NRZJOMp5NIy2Je+RMXALbegbmrsTPaxMdzGOCeTsZXuAIcXJmOL+IBjUQBcJ8EYM//mP/2fdlGv/UJ8pXAym0pIMABlXUMb7R1/39c5gHkFCMEEajTQtR23msZ20A0MGsAQHvP9HIschtnctIEeaDeO97oKyQUUU+CS+0S+MY3fIIgvwCGs4oWuazSmtlqldJ2hVJBC2UKhpmu1j0UqghLS/ptbXGrsN1Uag3OAOZMz7vGjgQywnPSx3F3CctK/NkynKwaefBI4fZrIwmFIkIThkDpOUUSyoo880joTL+J9x6IA+JCEMcSpmZXl3N+nx1ZW5hP+48fbhH93dz7Zf+21tru/tkaQvJMngZMnYW69FfuasPgbwy2velPVGtJCCw/1V3Hj8lHcsHIUBg3GOXX3J/kUkyJF3dSoam0x+TS1dEo9q51lLCV9NMZgd7qH83ub2J7s+oSf1HIYlFBIogSDqItABTBWYafUJQxgPV8kAhWgsROG4XSETBeodGUbPdR2IbU3KlgiGSAKIkQyBGAwyqfIqpx+xyrnwDA/EZCcA3Ytd00PJWli4RzgDQwKW2AAmJMLfeQTD+LrZ76NYTq0UqEMoQpR1zWyMqNiwF2zpLW60BV0XaFujF9/lVQIpYLghMvPywKNbTIJzhHKAP24RzAgFcGAHJDHRYq8tNOHIMR6fw39uIuiKrE73SfZUGP8NRpjUFqFIyUkBkkPN6wcxccmGt3vfh944okWIvTFL9JkwEKEhtkYm6MdXNjfxDifQlclDr3+Dm567ixWX3gFITj4iRNUCDzyCNDpILWwos3xLnStEcoAh/urONxfu3YI6iIWcVEsCoDrJBhj5slXnkUgFBhnmGQp9qb7GGYTZHaDcfCXq4Vk0vf9aQF8/wUBQIun5CTLKbi03QcDXdfQFo95pXT9vSYQ7c/Zn2VtQeCmBcB7w5CocOEQXBFu3xAZGcxSpu142HECtNWKdsd2BmOSS7q2pvZYW2UJymRzzxEqRd0wGNR1A91oMMYB0ARCSolIhnaD5NbivouV7hKWO4Nrc4acTlvOgCsGhKDpwHBIX/d6xBX4whcIs7zoDl1zLAqAn9MwhsiZsyo9IzJgwtpam+x/8pPA0aP02agq6ta6ZP/ll8m4D6BC+uMfp2TfJf1rawCAaZFic7TjSbWTIkVjDamcatixpXX04y6yKvfwQadoAztldFKYADUxSJqyC4BhXExwYX8LO5M9mgboyos+KKkQyxDdOGl5Yg2ZYjHAd/gdnGeYjjHJJxbyM68ox5hTWJMIlEQsYwRKQTcaaUEEX5JTJvllB8FhjIi7jDErHkFNqEAFUFxBClrvnP8Kqb2R9HMSxCQ/2jTIqwJj69b+Gw/+5/jT7/8FlpI+QhmgAcmZTovUwomoqCh1gaIsoU3tiw/OOCqtoZvK8hOMv69SSiguoevawoRqD8VSKkA37GAp6dFEhHGMszGmRYasyq0caYBD/TX0o473O5iWWQuPNYButH0tDRSXWO2u4MbBIdzy1gaSbz0JNgsRcipCvR6qWmNnvIcLw03r9pxBpTlufP5l3HjqDLoXtiDjBOyzn6Vi4FOfsgXhvvcjAIDlZIDDg1UsdxYmY4t4f7EoAK6TYIyZH/zkBSih/PjWbRSuS1RpjVyTw21WZpjmKXJdvGeKfRAC7kHDKfI46TghBNDYEazrEv0Uz+98A4yF9bjnEoz7qchBigoODs4ZjHE/TxuZ8yQIgwCNMaistb3jJXDGoYSwWtktp4C4EzRCj1QIaX9GcEFyd4w2BRp5A6EMPTHOgI4DAEkQY6U7wHJnCd0wOfg4dzptYUKnT1OHkjGSIxwOaUqwtkY41C9+Ebj11kUxcMBYFAA/J9E0BM1xkJ4XXyQuDUCSui7hv+su+jdjhPGfxe6/9hoVAQBJ885093HbbeTYa6PUJTaHO/jJzrvYGG1hkmdoTA3JJUlmdpex3BkglAGmRYq0zPzvRipEKEMYNJRQ69LLKSdBDME40jLH9mQXe9Ohh/84Q0fJJUIVIJIhAinBubBQSWIvhVJZ+WODSZFiko8xKbKWz0VNazAnpcy4nxiHKqB1Cw1NNKsKlYXPECrTfhaswpv7fdeFl5yglkoqzw9QQiFUCp2wQ91/IX1BMconlnBLE9ZAkJxoFER45OQD+MbZ72KYj1FUBQAgDiL04w4EUyjrEqNsQpMNC73UTUMQJKtCJJwiHcgbRjfam5gxB50VAqYxqBpHImaWV6AQBREGcRehvdfjPEVqOQiMMcQqwmp3Cf24i6rWSIvM+u7Q8cu6gq41qroGZwyhCrDWXcbNqovjZ15B59vfBXvjDSowH3iAioF77gGEaAvLvQ0M0xGKqsDqxg5uOv0Sjpx+AWGpwdfXaZLwla8Ahw8T4Xu0g83RtiVwSxzqr2K9v4Z4YTK2iGuIRQFwnQRjzPzu1/+wJemqCEmUoBMQ/jKWIRhnXhK00trq3WvkFRUF42xK04JG/72dN2cckpGuchRGEIwjr0pkVY6yqq5JEvRyz+13MpvAG1AXB/brazEkA5x2BPPfcws2YwxVXVnFIUsitp0mZqwfAiMOBJHhAnSCGLEKIaWkEsMSqR0B2uFzu2EHy11KFEpdYpxPAVDXbrkzwEpnCYO4B35QU5jpFHj6aSoGnnsOKApKjsKQIERJQhAHJyt6/Pg13fePWiwKgOs06pq69bMJ/5Q+Ozh6tO3uf/KTlPCX5aXdfUfyVart7rs/KyuXHrJpsDnaxptb7+Dc/gWMrQOttJ3+QdJDNyQyvmtESE6mg0kYgzOGUmuM8wlS2zF2CX1R5djPxhhlE+Q2IXadcuqkE2RGWZdexlo/lkBRsp1XJUbZFNNySpLF9jnA4JN8IThJZXIJzilpF9ZLpdIViooIyk7VxyusMT4vuWybHGS0paxjO/3brX+R9WGpmhqTfIq0zOwEoaIEWygLB5JgnMM0BoUuCApV1/iNz/4j/PFT/wHdMEESxmAGyHWFaUFmX9z6B3TCGGBAVhaY5FPqvmvt4VTOrd4ZV0ohYRqDhtm90nMbaJJhrMEkmUwCXBCPIpAkDR0FdF15WSCtMuRVSZyBIMRSMkAv7kDXNSpd+el83TQWDkZfc8bRCWOsdpdxy6jE+nNn0PnuU+DjCXFQnIrQzTejaRrsTYe4MNzCuf0NTIoUvNI4/vKbuOUHL2Hwyuv0nvj0p2kq8OCDMEphLx1ic7iDvSmZjPXjLg73FyZjizhYLAqA6yQYY+Z//dv/B0JImKaBNjXquvYkKmemQvKVVtlGKgSCsI/MKgUVdYWyKpGXtMh6w5eLj2fhOdwnxteu+HPJNYAIv0kYYb1/CMudAfIyx+aYxpZOpeL9hCsGXMfcEYiNVQJyROKDFBxXm4goLtvNcs6lGLbLJKjssE8iOLlXLiV9dKIEdV2TMQ2jSYO0mt61aRArMuc51F+FEgqTfIL9dGSl6DiWkj6WOwQVUgflDbhi4MknqRjIMiIxSkmmY90uJT6PPELTgdXVgz3vRygWBcB1ElpTh95h+F98kd7PABWxswn/6urlu/vaNj8OH55P9m+99YpcGWMMNkc7eHPrbby9ex7jjBJMzjniIEQnSNCNOohUCME5kjBBL+p4l/GszLGfjrBv3XerugIDQ1VrIrVWBfIqt8ZY5KFCkEUJyTikJPihEALKwiwFOEpdYFrmmJYpsou8UZhN9qVNXLmdxApB3XkG1yzSKKoCpdaoTWv86GCXjDkZZ26VgZRXCIpUYDlhZJwYKAUOhqppkBZTFHayUWpNhYZQEKAigVun9kKXyK0SEtDi/zlj2Bnv4Z88/F/g3z71F4ijBJN8CmOT+E6UIJQKpjGYlgUqC0kKVYAkiBDKkCYMZYaszG1Ro6n7XxMMlNvph+RUtNRN4ycdTlGPPGxIHtrdF86FncDQ/hoFZFiptUauc5RaAwxIggjdsINOmPjra0yDsqYia1KkKJwKlBDoR12shB3c8tYm1p4+jc4Pz0IYQxChL3+Z1uheD0VVYmu8g3d2z2Nnso+sKtAfTXHL8z/G8VNnEO+PwLtdmvQ+9hhw220oa+2nArMmY+uDNXTChcnYIi4fiwLgOgmnAnTJ9+dGsOQD4AhXwuExrdW5FJL+MCKjCSG8fOa0mGJSZMiKDNrUlzmOO5r9mwFXMga7lpBcYn2wil84dgLLyRLe3H4Hb+++i710ZIll739CANiOjoEvDDjjthPPQMKdB3gOOCpc+y96XgYpBBoYv2lc7ve4PbZgwhu6KCmRlTlyXUJY52MhOOqaTGp6UQdHBms43CeM8V46xN506DHD/biLFVsMHHism6bzk4HplLqiQlBi1O8TT+CRR4DPfY74A4tYFAD/UKE1yWm6hP+ll6hoBUiVx0F67ryTCtnXXpsn6zpFnyCgJMrBee6447Ld/dkwxmB7tIvXt97C61tv+64yZyQO0E96GMQ9LHcG6EUd9KIuulGCOIiQFhn20pGX6ywtzl43mlxxa42iKv0kkTrS1AigDr3wYgsOz++IumlJ8JKyKmfU2GYMtmSIWJFTL10IrdPcToeruvKJeV03cw0RN/HkViY0kC2kMVYRpBBERraFjgEs18tKburKy0ULwhd5MQeX7Ou69uytQCqEKoTWNfbSkVffmd1T/uWv/HO4fU8wjl7cxeHeKhhjfoJCxmIhAjFLAqZCj1zdQwiuUOgCWZkjLTPkVeFhOTANYEUzAqGgpPRkYZqEaGtgaezeQaIXjAsq0ISbylAxxBlH3dQo69K7HcdBhCRwJpOMYKRcoqorDLMJxjlNfQCGQEr0oh4ONxI3vPAy1r5/GvE75yCCEOz++wnuc889MJxjnE9wfriFt3fOY5xNYJoGR966gI/98GWsPP8iZGPAbr2VCoEvfhGm28Uom2Bz1JqMdcMEhwdrWOuuXLuR5SI+1LEoAK6TYIyZf/WXv48ZxPrBfg/wxQGZcVF3SXLpx7dCkB5zaDs8YAyjbILdMZHZLjchoOduSbyzXfOfhlMgmMBabwm3HLoZAsCF8TZ2J/tIy4xUeH4KD4JLj8XBLCmNGwCce9Lye4UnJgMeChRJMq8pdXnVwsVttJ0wxlIyQAODoiK7+kAGCJSE5AEaUyNSIVa7Szi6dBiHequo6gq7033sToYeUxwHEVY6S1jpDNCNOgfjDaQp8MwzVAycOkXkSKdswjkwGAD33kvFwAMPkLLQRzQWBcDfU5Ql8MorLaTnRz9q35M33zyf8JflfLL/xhttd399ve3s33HHVbv7s6HrGuf3N/Dqxpt4e/cCplaRR3CBWIVY7a/g6OAQDlslmG6YQAqJqtbYT0fYnexjc7SNaZG1nCeb+JeaFH0YZ3DmiwaNb86QzHBAimDGoKo1JjbhJ5Mtp7YG71AbqQCdgFxxOaeJQqUrauAY2I42deCrpk3OZ8NBeUJJMpydMEISJOCcigDFxZzEM2PMu/wCxiurNU1N8s1WRKG0CTi3hYCy085SVxjlY0yL3CuzXRyCce8R8D9+5Z/g33z9j5Dr8pJ1ORAKS/EA/aRLWHtdwYDgWIFQ4EKg1hVqC4sNROs7AAOkVkVoWpAHQFU7lTxyeVdcWllSSYIWdY2y0agbEolwJpbGOgsLThMax4Nwr7UxxC2YnQiHKqCJiH0dYxWhaoj8Sx4PJRgjrkgv6uLY3hTrp57H6rM/RJhmUCtrYF/+socI6brGzmQPb++ew8ZwG2mRIalq3PrSG7jp9EtI3noHXCmSIX30UeDuu1GZxrsUp6U1GbPmcb2D7iOL+FDHogC4TuJKEwAAkNakihlQl+IayLCzXR9mR72SExksECF6UQdxECDXGsN06AlXswmunw64jeIDuN7Z84tliF7cRWMapGXux73GbogHvdaDHo+IwAoNs9KfB/5d+lsJiUQlRKLTBUor53el4wlrHEYcAEc6tmoVgnwNJOfohgnWB4dwZOkwVrvLAAwVapN9jLIJDAyUcLyBAQZJ/2A4zyxri4FnnyVpRNdpDQKCUzz4IPEF7r33IycruigAfkbhknjX4X/5ZSLgMgbcckub8J84QY68s3CevT16jjCkx2cT/qWlAx2+qjX2J0O8s7+Bd3bPY3O0jcJ21iUX6MUdHF8+iptWj+Ho0mGrCEPvhbTMsDXexYX9LUvSzZGVBYxpoE2LnQfgk3wHKXE49NB2ixtDpNVJnqLQBbTlGbkuPmeE1+8EMVa6y+hEMWrTILfdbF3XVGw0tecpNdbMcDbcWhPKAHEQoht10I+64JxBcOknlcQ7IAd0R4gFCL5SlCWqpvLrVG0a1HXtScBOJtnAoKwqTPIp8RnQXPIZcnCaQCjEiozDqkYjr3K/7v7WV38Tv/sf/xCck/eBMfCE6IsNLSMVYCkeIApIWKFuyC3HyZEyThNWV0i5CYsQnOBYRWbdhjPLCyBHY87JPT4SAYJAUXFVN7ZoqPy99zwCMGs6piw3wt0/AxhDrvSME+FaKuuNQAVXEsRYjvso6gLn9rewO91HpSswxpEEEXoywo1vnMOhZ05j6YWXETAOeftJCCcN2ushLTJc2N/CT3bewX46hm5qHN4Z4eNnX8PhZ38AmeZga2sEK3r0UZgjRzApUmwOt7E92UXdNIiDCOv9NRxamIx9pGNRAFwnwRgzv/vXf0g4zWuAxbjNRtgxsjFAfQ3E2xYHSooRDMy7+dZNDW1qaxDjz9N2qDg4E7Qh1jWMuZajXj0kIzwqmXnZzdaOwq+lEDioDCkAKG79AK7xKjg4AtsRquxY+ErvS8E5kiDBamcZQIOplXf1YQnPUkhSwoi6GMRdxEFM3bW6Ql4VyKoCDIASCqvdJax2l7HSGRxsIXfFwJNP0n93dqgYaBoiDx85QrKijzxCydlHgEi2KAA+oMjz+YT/lVeoa88YmWe57v6hQ8A778x3910hfvTofLJ/yy0EYXuPmHXT3ZnuY3O4jZ3xHkb5BGVdAcZASYWluI/b1m/EbYduxiDpefnEymKoz+9vYnu8S5CNkuAqBMUhqCFgfDe41Ye3a6IgkmvdkLpOWroueAuldJDOJIiwlAyw1ltGrCIUVhxganXpi6pE1Whoa/ZF59CGO6YUyvIUYvTjHgKlfBFiQAmukqqdEtvPc6U10iJFqgluVOjKuu5ScUCTZXoe3TSodIlUF6iqcq4J1Z4PuftGUiEOEgRSotAVcm2Teavx76BPjAkADf67R/5r/OHf/SkYg/UbsBKpQiIQClpX5FZ/EWxVWKnOXtyFEgFmZ9JO+QfMgIGuV3Bap93rnZU5RvkUaZFRw8squQnGPTQqVqGHhpZ1TcIWurSvifH+BMJ6ygQyBLdTZs8zMMb7QwRS+QlQqKjpdbi7gmmV453d89id7kNrTUpRYYylCrjx7Cs49MwP0Hn3AlQYQT74WajHvwrccw8awbE3HeHtnXM4t7eBaZFCGeCWN87j1h/+CL0XXqarv+suggg99BBqJbE93sPmaBvjfArGGFY6S1jvr2GQ9BZTgY9YLAqA6yRmJwCu0+wsyQGreGPcwvveaa3D8XNQ58bYzepiCMxPKxHqNiIllHXZtVr7uprbwH6aY3AQuVib+pqS+sudq/3CXvTlnyngCgbmitCoq5+rVaAAeSVc6VxDobCUDLDaXUZRl17Rg1nSd2O7SKEKMIh7VmGEe9WPQpfIyhxZlaNpDKQQXtt6pbOMXkwExUAF3iDnksjzdjLw9NNEqkxTSmx6PYJlfOEL9OfEiQ+trOiiAHifkWVE1HUa/D/+MSXynBPx3HX3gwB466024R8O6fej6NLu/mDwnod1broTm/CP8yn2pgSZ80potoOshMJKZ4Cb127AzWvHvZNqXdfYnux5Z93dyZCkKg11kGFaxRinigNYjpF93MFiqENf+kmgm1y63w+lQj/qYbVHxXooA0zyFHt24jotUq8mUztlmouC1Hlcdz9CJ4zJn0QQadgAFp4iPaRJCmoIFLrCOB1hmI2RWyND5x/g9wkmwNAqzFW1RtVoNM2lPCpm17hQKCRBBCEDmKZGrgs/YfHnzUlZyACUFDfNXIPrt3/5v8e/+qvfB0Cu6rGKILhE02hkukAzUziQ7n+FsnH32d0bmmxHIkASErzJKapRd95xtEgaWnJlScvSTzhG2cSTdmsLseJMQAlyFE6CCFxwcHBrUlYg05lXIHLwKWdkForATzzcxAaAhwQF0kqxGoNQBVhK+jgyOIRJnvpioKor6zMRYW1nhGPPvYBDFiIkllcgv/wVhL/0K2C33opSV7gw3MKbW29jZ0K/u5RVuP2lN3HsmeehtrbB4pgaO48+Ctx+O9Iyx8ZoG1ujHeimRigDrA/WcKi3ujAZ+4jEogC4TsKpADWwG4vVn2+a5jJJpCXrMma79rDGMBqNOSg0yB8XPiO2v0b9rvY4brR9rZRgYUfjSqh2bFxX0Jo2uvebyHPwn0pedDacwhJs0j3/GCxJD9BWWeJ9PT/YVc83FAFWu8tIwghlTRhUSkpbgnE37GClu4Rjy+tYinswIJ3yvCoxzifYne5jmI7Jxr5p/BQhto6cUkgqCCxG1n3tv6cbyNOnqRh46ikyR3KSi4MBcPvttHk88ggRND9EsSgADhjT6XzC/+qrNDkSghL5O++kDr4x1NV/+WX6r1W/wbFj8yZbN998oO5+qStvrDUpppjkKaq6Ql6VVoWGVM9yTaRMJST6cRc3rh7DzavHsdJdgq419tMxLoy2aDow2fPKMbDrmyO1Cs49nMYV3bohMiz9V0PXdbuGGcsZsqaJSRBjpTPAancJS90l6LrC3mSEUT7BKBsjK/MZKODlV3fnzBsI5f1EIhV5MnAgpdXeD9AJEp+wZVWO3fE+dlNysS0q6ljbPJ+cca0mfmMoGddaQxvtMe+z4abBoQzsOQRgjCOzyb6urZDDTEOFvjTWH8WJM1ioDQ+gpIBgAlxw/LcP/5f4o2//O+iaFH20k0a11x+pEIIx5JW9XzAejmQMTW5mm1puok0QV0leNXZa7abXrqsvOBGyIxmAMwHOGYqyxKRM/QTIQVEdb4Gw/bSWKkXKQkVZYFJkZDjmz4V5Se/A8gEa03g/BGNgTSPJ64FxRsWADLDSXcLh3grSssBbO+cwykaoGk1y20zi6Bvv4OipM1h98RWIxgAf+xjEY48heeyXwQcDjPMp3to5h7d33sUkT8EZw43nd3HizGsYnH4evCxpDX/sMeDLX0bT62F3uo+N0TaGKflqLHcGONxfw3KnvzAZ+xDHogC4ToIxZv71X/2+X36d7ThhNeE18L2x1dzGYfyi5pSCnNoELGmrbmrSxDkAhn9eM79V2JmVnmCM+YLh/YJ/BBN+VzJ2rPx+XlFXrHyQPAF37b7YAm3u4AQ30O/Da4Hb57qaNpEAdXyUJNUJwQUE535EHQiFpaSP4ytHcHRw+JKxbVGV2JnsYWtM2tCU4JB+dSSdZreehx65Y9uNPtQNei/8CN1TpxE9+xzE1hbENAPjHGxlBfjUp1qPgcOHr/k+XG+xKACuEJMJ8MILbcL/2muwmQvZ50SEAAAgAElEQVQVhLffTpOismwT/tnu/u23z3f3+/33PGTd1JgWaZvw5ynJ6gK+GVKbBkVVIq9yC+GorLxkjOPLR3DL2g3ohAkmRYrtyR42hlvYm+4jLZyUJk3XgHk1NSUkGBjKWqPSBIvR1jiKTKiM5UG1wgChUujHfSzHA6x0B2CcBBbyssA4n2BaZASD0ZVPJi8O191XlsTqSKSBdSF3BXvHOuomQQSAYZxPsDXawc5kD+N8Om8eiTYZprW6QQMDrWtySr/MNJlbbLvk1NmPgxiCk7NwVhLx2TWmXOEDtLww5xYMWzRIbj0JDEMDY2WgG/97jDH8i8f/GX73P/4hAILpxNaZt6xJUcnBjQS3mHoR2qlLqyDnrnMOegPHx2CWCE3TkdbVXvgGGqwXg/M3iGQAxoDaGIzTMfayMfIy95wD5+sQWHWgQCnv8D7L9aibxvMGZgu6QAZ2ilv4KbHkAqEKEMrQF5NKSKz1ljGIB6jqEuf2NjDOp6hqTWTjvMRNZ36MI88+j965C2AqgL73HsjHv4reZx8GDwJsjnbxxtZb2BiSaVivAU68eg43PncW4WtvgAkBfOYzwOOPA/fcg7zR2BhuY2u8Y03GFA73V3G4v7owGfsQxqIAuE6CMWb+5ux3vG5ybrWNSyvB1jQ0DZjvzjMYZloLWh9tQQAQEUvYRVBYGVFyuW2ouzUHVTl4Gt2Sgy21dgbr+tMLiL6/aPX6OfEXPuCzmOVISClR1xq6ufbpQCQCgHMrhXrl3203ZWGxucx2rzi6cQeHe2u4+dBxHFta95uQC13X2LfyorvTIeqGnCoHSR9LMfkWAMbLBhZV6V1LC6dnXhTonn0J/VM/QO+5HyLY2oXIUjAhYZaXUd17N+ovfAF4+GGEq4cQWLjRzxOWdFEA2BiP22T/7FlK6o0hE63bbwduuIFIuVlGxYB7HCCd/lnd/Ztuek/+iCPbTvI24Z9103XTqbohN93MJvzjfIpCl+CMIVIh1geHsN5fQShDjIspNofbGKYTTIqpJ3A6xRaX8HPLM2oMEWwd8XQWuw3AwiidQ7gkD4Cwg37SRSgD5Lqg9dpi/iuvjV9dEfroklDn5RJJMstKQkrue1EXnShBJ4iRhDEEE9ge7eLCaBs7k13sp+M5IzHqitMEw5skMiqY6hn1HjNzPsxCTAOlEMsISZhAOrJsmSEvi9ZVGK0YQ1taENbeJdict1AbgwaNJY05CJUzOGOgCXNjX9P/6bF/it9/4o8RqgDGNORmXLc8gFAoGABVXaKoKr+zkW+BhOByblretqgM6sZY/lp7LsK9/rZAYdZF2EGVXAGjhPCk3cB276fFFFvjPWQzJGZXCJKqkYTgCp0gghAcWVl4joF2JGLWTh9oShHAuUU7JSjOBUKhiOxsHH8hwEpnCd0oQaUr7Ez3Mc1TVI0GZxy9C1u44fSLWH/uLMJpBjPoo3j4c5CPP47BJ+4CALy1cw5vbr+NUToBGHB0VOD2F17H2tPPgY/GwPIyqQ49+ijMsWPYmw6xMdrG/nQEA4NB3MPhwRpWO0sHN61cxHUdiwLgOgnGmPmzZ/4ape12td+nMaIQEsY0NjkrvX272+A89vQgx0I7KZBWDo0LAcD4gsARz0jZoIExV4exXHqMD64j/9OG5JI675dRzvigwk0JDv4qtCGYsEY19RVdnKmk4eCCedO3xlZ5wnIFli2nYLW7bI10AttVIghQUZbYz0jO0HVVu1EHK9aNOA6iucS9Mc1cQVBOx2CnnoP83lMIn3oa8sIG+HSKRino5QFG992N0f33Ir3305C9wUWQo3no0fVUJHxkC4DhcD7hf/NN+n4QEGl3dZUgOuMx4fvHBA9AHLcwnpMn20nAVcIYknGc5FOMC0r2SYaT1hTJBboRmSoxELxtZAuCSZEiK0gfH4aw4v2ki+Wkj0CG2E/HGGdji+EufRJPObHV0Gckxanr2mrll3Yyatc0Ns+9EtZgK7FJeCADMAC5Te51rT0cyGnOXyze4JJkl2A6Cck4CBEHMQZRB6u9VfTiju/sGwAbwy2cH25ha7RjXYNz26xpbHeYRB8Yc2Rk19Cx3X2LSXdrXZtwKm+iFQiJstHIygyZhfLMFj5uAjo7WWaMeeNIcO6LP+cF4LT2W7PGxjeZHIfN3xv7uvzW47+Jf/3Xf+BhP6EM0YkiBCJEZmU8iRvF/ETUNMZDqODuseCQjNyTjdX0b2zh46auZub6/GtjFdiYJUnDwoQcWZsUf6QlbsdIQjIFm2RTbE/3MMmmpKTEXFEl7HMKW9wR3p8EHHJkRT7D86A77CYUZBrJfOHlnOSdjCsA+zXxwuIgQt3USMscaZVD6wqmqrDyyhs4+twZHHrpVYjGoLrpRmSPfB7yy1/G0voNKHWFN7bewrn9TRRVgYhJnHh3B7f84EeIf3gGrGmAT3yCIEIPP4xSCWsytoO8KiC5wCE7FViYjP18x6IAuE6CMWb+4Jt/DDVjVDLrJNvAkAZ00xqtuODcqU/U3pCl0CXq2jk/HiztdYseQEkzB4OUtCg5PWgKWswbY1DPSNq5IuR6DzZzB6/H8xVgsGJ2l31c2VGyEgqcc2uMQxu46xZFMkAcRghF4A3ilOUFhDIAAyPjnKpAqUsPoTjUW8Vqdxn9uHv1BL0ogFOn0HznOzDf+AbM+XPAaAwTh9Crqxh/7kGMHrgPw1+4HcVlmkXuPFseQlskuKJB/j0VCR+ZAmBvr032z5wB3n6bvh8E1N13EJ3dXXrM3ZMbb5xP+G+88T27+9rq3DsYD0EXyOSOMYaOc9MNE0QqQlEVrRleXXl313RGKSsOInSCBEpI5BXpu+dVRbLBVoLRTSPJGIsSY2dk5RTFaGoJAAwCDGAcSghvXOXUYmrTwFjSat0QMbSqK/uZqS75fM4mla0yTIBIRcQJ6FFx3os6iGSIrMqxsb+Fd/c35mA8tetm2ySfWxKsc/gFo/MgHkI9h92f7S473L4QpHOflTlxsOpZvP+lqwwH93x/P92196vljrWTZEqsW2CjKxqY7Y4rIQl+KGndklzCMPJG+ccP/Sr+5Kn/D9oSax0PAHCQoAi9pA9mjDcSq01DzRBOCffsFNtBf4SgqTdg9yU7EXFFwCzktD1XaR2aaULToPHUOG+6CebXqCSMEasQeVVic0iqOh4ayhik4x5whsAWf6EMLBeA9uhKa38cX0RY2CfAUM8Uls7TwfHSpPUx6EQxQYcYQ6VpipXrEhgNsfbcWRw99Tx6726AKYn0U3ch+/xDCB54EL3uAKN0gp/svIu96RAGBmua4eSP3sL60z+AOHeOoHwPPww89hjMyZMY5hPi0Ez3YYxBN+pgvb+K1YXJ2M9lLAqA6yQYY+b3nvh/UTXaJtXz3RKXnAve4sIFlxB2tO269Y4k5bD+TptYN9p3vyorYwa8dwLsICe+E2QXQu9APONCTMkaFQWVPd78SP16TLc/+HCLuHNkrmpNUnMfmFBqG5JLxDJAL+lBcEGKIjbRIpOZjicPukSm1SpvN/K6IShEoUswxhCIAP24i+XOAMudPo3CZxL2uRFwWZLZ2Le/Dfzt3wLnz5PxWLcLHDuG5quPo/r851H8wkmUpvaQIz9ZsF3Vi2O2SLjcFOGDKhI+tAXAzs58wv/uu/R9KclMK45Jl397uyV8dzotdv+OO+hPt3vVwzSmQVpYKI/t7mdl7h9378Ou/dMJYlS1xl46xO5kH8NsTO+/qkRRVxhlExRVQQUt4+iEJCtZ1hplVVLH2hFoLTfG96wNmTK18sEUDrrnYDJKkv9GIFQrpcyFFwIgTDmRNvOyQFGXl1w3AA+tVEIhlAphEGAQ9bHWX8ZadwVrvRUoobA73sN5qzi0N93H2H5Oa+9Dwlo4iYX8SSH95IQKmNrDQP012eIgVAEUV5BSkQOurlDUBD3x7raXOX+3voPNtEVmv3Zh2tW7VThqTSilVcuJZAglCK7oE926tPKe7Xk7gu8/fuhX8Qff/BObODNE9vOd69LzDtw0JxABukGCbtyx7vYZCp3T+cDtScwTiX1RxJhXw7OXQvfDYvT9ZMLy0Zif2BCPToAmA7WpfQHB7HtGcXIHpuI0RmMMtqd7GKWjGXM47qFHDM6LR3oFp8oq5lV2DZxF9NJUgooY2HN1BQnx/LhVQRKIZUTcEUVrtOAcjVXM4j95C6tPP4f1584gnGZoej2MHrgP6Rc+h/jESQRSYWeyh/PDLeRlDiUkbttN8fHnf4zO06fA8pxI/JY4XA362LJTgbTMIDjHancF6/3Vg5tVLuIfPBYFwHUSjDFz9u2X0QljSEGLeFpk2M9GXt0lK3Ja1G1XYG6kOTO6dF0j5pM8Zn8WmJWZ1HWFugFqo9sCYrbwuOhv54wLtHoP5qKf49wVBqRUEcoASoRgzPjphJtkNDPXMDuy/rAFtxCdTkD44XE+xiifkj75BxgM5MiZRDEEON1jNIhkiJXOADeuHkM/6VE3sCqQlTklIXZM39hxua6dpF8rwxcFIWIVIQoin5xcLiEPG4PwzAsIvvsU+N/8DXDuHJFJez3ChX/ta8CXvkQJ5kVwo0pr67BaHrhI4Fa3e1by9OLJwnsVCR+aAmBrq032z56lQsx96FdWCMuf5y1Rl7G2u/+JT9BrcsMNc6/LxeEkaFuSLkF5XBKlhEQ36tjufgediDr2Du+/Oxlib7qPSZHaNUhjWqQYZVNvEEXJIb2v6qZppSsvox7moCU+MYNtVswkaQ7r7YiYroFC7wtKzExjkFlN/LTMr2C0RVAlZTvrSUBSnEtJD6vdZRzqrYJzjo3hFrYne9id7GE/JdUfR1B1953kgu3nSATEJ3JFkC5R2cnqbLLvYDOBVf/hjFOyb/9cPA24ONhlvgIDmHESQQBjVEhxK/JA0pdEUp6dLiohAFBTobKk6coWZW5T4FY5xxF0daNRaQ3dVITPh8G//JV/jt/5y/8Nijt4UoC8JilRzmgC4AizaZn7fU8wjiiIMIi6iFSASZnR1EiXvlhx+1KDBqYhl2Z3azw5mq52TnHv4l2NFIyI9BsIBcaZn7Y7RR/nxSMFEYKTMAYHw6RIMUyHKC4yHnM8lPnGHkfTkKxsjZoagWy+SIOBn0y56+C2wGBe5pSKksCeS6RCdKMEYBzTyRDy+TNYeepZrL74Y4i6QXbTcQwfuh/ZZx9AsrYOXWvsTvaxlw5hjMESD3HyjfO44dQLEC+9ROdx3300FbjvPkx0gY3RDnasyVgSxDjcX8Wh/iqU+GiZSv68xaIAuE6CMWZ+8JMXkZXZHGmJ7NtjdMKEtJ8V4USn+RSjbIpRPiYN43xKWNmSlC6cWUljda2dzB0Ha0efdqwLtHhNvxAag+YKKbnDuztpNzdCdaQzw9hc981dCweHsPrLkitPbgVg1Tbo+LXnIJCW/gcl+Xm9hGQCSjrNa460yEjz+gN+PzMAkkmAtwlEpEKsdZdxw8oxrHQGZF5k77luGs8rKXRpu48lpmVrlsMYQ6wi/36UXHq/h4tD1QZLL7+K/tOn0PvWk1AbW+BpCvQHMB/7GPiv/Rq4tbq/WtLpwnVDXZEwy0+Y/d7FMVckzBYttlPWjTo/fwWAMcDmZpvsnzlD/9aaHuv3CaYzmdDPM0bd/VlVnttvp+9dJapa+0Tfdfjda81td74XJb67H8rAF1uNaTDKJkRCn+wjrwqUdYmqogLUSS02pgHnHJEMILlEDYO8zOlnbSIMzCjbwOVxMw0L19zwiRUghCQYpXAdcur6M8OQ65xM9YoCZePkG+eDg0NKiSQI0Q273s27H/fQDRNUDRUv+9MR9rMRJrkjHTc22YNvxDhIUKhCCy9qycekzNN6jrj1lKNVr6H1lRJ8bZNP1+Vuia9XDy/aYJ+fcQZuLLSFMz9dVnaiITmHcc2iprZKRi2p2N8nRjuMsWIIdTObTF/pXOg8fvtX/gf8zl/+3txPMhAJlyaXwpNjiWirPO/CEa0B2lM6UYx+1ANjIFx82Tr+GtMqOBmAOv22IHCFgDEtBLY2DRo3nWGzZwbLnSNcfqgkGOOek6cb7UnY0rkgBxGkkCh1RcZ0lqcCwKr8cTLitMVB28Bjfi+mpJ9IxNzyLxzvo1WoaouJdkLPPFS0E8bE+eouQQmF4ca7CJ78Hpafeha9d87DSInRJz+B/QfvQ/npu6CiGFmRY5iNUOgKkgvcVDDc/sJrGHzvGbDdXZKI/tKXgMcegz5+HDuTXWyMdjCxJmOrnSWsD9bQjxcmY9djLAqA6yQYY+b3v/nHhO22FuNKEIbQKUYEUkEIiSQgxYhOkPjigNwVKbmvanJ5HHsMbtupS6uCTLrq1msAgF8gfUEA410ttYUlXX1Jp+CuwwHu4UK17640qBuaHNirttdO3+KMQwhpOxrM6w/PyrzpWqO00nwfpgi4IudLo0n16Wf03qYNTNjuWoilpI9DvRUEFxm/SCFtomXQWH5JoUtM8ynyqjUSUlJhEPex3OmhG3XnlKbqpmkT8zRFePYFDL73DJa+8z0Em9vgWYa630fx8Y9h+rVfgv7Cw5DHbrikg+825YOEh0zYYuDSiUJ1CX77c7ffh9NvvoBB0kM/7qIf966/zpUxwIUL8wn/1lbr4tzpkAlXWRK0hzEqrGax+8ePX7XQapyb7owMZ14V/vEkiNG1yX4v6iAOoks0wklvf4Td6RC7kz2kFsvvkrasKlBYgycnxygYR9lUyMvSSlQ2rufpVWYAeu+6poaDVtDP8BaKY6eOoaSuumQCeVkgrQrkZYasLNCg9k0QFw47H6rQOnD3EYeh7bxy1Pb80zKz3APnCNsWJ5w5SA7BWwJJDrWNfU+mZe7lK2dFEhyUR9j1z0E+XZfZT0qvcUJKWH6Hh6cEnxnidTllOMY5mHHrfO0TfJfAOzUfgBLtBsZr/M9Pgy8Nf112Yqh4K2aha1rn/sXj/wz/y9/+3wSVrEpk2qobXfQ8kksESoHDOhy7xJZx6wlRUKFgJz+hVOjHHXTDLnSjkZYF8ipv1Znc/bTTD1cUkWGmnYrY17SBmen0t+cEtB34UCpEMkQURGiaBmmVe3M3V7rS9EhBCWlVkAjyVlv+guOuMCbgPlVuUiG48PwVBwVjFmYKDu9NQQ282WKAe8EPXxRYc7EVm5xHMsDo5RehvvktLD19Cmo8ge52sPuZu7H34H1obrnZrw3TIgPnDF0V4+T5IW7+wUtQp56jxsPttxNE6POfx1QyTxyumxqRCr2cKH0uFnE9xKIAuE6CMWb+w+m/IUMb292YNTiZdRpspexaslcnjNGP+xgklMAMki46YXLJBu0SpLzKMc5TTPIJJkWGrMwwLTIiYbmRsnM4BPyIuDa1d4ukDUMfOFn1nTkufBemJWO1+FJ/rjBe1g4Mc9cOxtDURD6G7YS43zdwCgvt8yziyuFgBf2oh+VuH72oS+N4FZHyVF2h0tq/Vg7bOy0ySywsPVQosPCIOAgRq9jLGfbiDhESuQArKzSnnwP/xjcQ/s03wC9sgOUZdL+HycnbsfPVL2N8/73QS+QK60ba3rzMOmnOcgMu63R8hbi4SFjrr+DsOy9jnE19QpcEsS0G6PMUSPUzufdXOUnC7M9CejY3qaPfNETOqyoi8MYxQawcZt8p8yRXVugwxiCrivkGQZn5zm4gFXX1ww56UYJO2Lkiya+oSuxO97E53MH2ZNd2+isrQlAjsyo5bnLgOpoXS246eKIUghI9S9x0cpq0FjHfgaXXX1m1qxBKKNRNhXFG6kH5jCLQfIcZYIxDcYVOGGOQdJEEMTjnhPe3MMVcE9dAN7XnZc2SRp12fCRDn2AZY5BXJbIqg9b6sjAi+EJBgDNJWHRm/Fp6rfuagxMJIQkXbqEljM8Xe5TY0/1oZu4LHW7mDpl2z6FH/AOzV2G/spMEC2VxyabrSgPwCTeAmdcu8ByA//2bf4K0ymfWEIVQWInVsoC+SCbZvUecb4NLkClJNv5z7a6I3HdD9OMeYhWiqitfmOa2GG1MYxN/TpKxdjLgZLdJpYjDC2DYAsnJhrrCwBWjtAYSZLKyMLfSijUYkLs9s4pBbiLkyMykxtfMdfINjOWwtIpMrkh0ow0hJHEg/P7tOAuWMyCE5yE4QzRpi971/iqOrxxFxAWyp56EfOLv0H3+BTCtkd5wDDv33439z9yNpt8n/40yR13XCJTCcZ7g5MtvYfV7z4K99RatSZ/7HPDoo6jvvBO76RAbw22MsjEYGJY6faz317DcGSymAv/AsSgArpNgjJknX3m2xe9JhcZCMvLKegNUbtEqUValJbvVc5ukNz/hpHMdBxG6UQdLcQ9LnT6Wkz7iMEYg6BiOiOTCJXd5VSAtcjKzKTOkRdp286yRlK5bnWjd1CitW2NLPKM4SALe4hztX7OjWXoSUGpvLoIBtJuqK1YYY3MwKq8O4khgfnNalAYXhyuwnAJVqALvKNyJOuhFMXphF50oBrM8g0IX2E/HGGYjDNMZAqdLCJjjh7SEQdogY3SYxOqP38Tyt7+H5O++BXFhEygKmKUllPf8Iia/+jVM7rsbeah80n5VE7OZwuBibsCVigSXuDWmwSRPMcoIVjfOJ14mMg4i9OMuBjFNCT7wLpYxpLzjEv4zZwjDP5nQY0JQ4t/vU8J/yy3z3f1jx67a3XcSnM5Jd5xPfdEsOEc3dCTdBN2w451lL3+qBpM8xbn9DWwMtzBMx3NkTV07LDu9Xo3VhXcF5Cx3SHAJJYR9DeaT1NlEWzJrlKRCUreRIRoYTPMpJkWOUufz7rw2fILIOEJrhtcNYzAwVI1GVhao6nLOFwVo1xanry9npBpdYqabGkVlHXGby3uOuLXKmTO6AtPJLF/L+uMVYhgp1riE1CWAzjSrMdStdgXLrLQn0E5c3fdcN7vdT5nnjrVHnlf38dfmcPUzXXQHYRFCIOCWl2MddJ1SjWsa/MZn/xH+9Om/QC/som40xkWKcTZBXhW+6RUFERSTKKqCNPgvUxBczOkg6VXhxQ1mm2lKKMQqQj/pIpKh995Jy2xGRrYBs2pI5L9CF9mgQVMb6tTbiYixCnntPXPcAroXSkh0gghxGCOSAbKqtB4Vdi0z807UzB2ncc9tiyc7sfHSRKxdr91r0zSNn+4IThwRZ2jn90Q4EjHB42i/bOwELMCR/iHctHocUVFCf/MbkE/8HcI334LhDPt33oGt++/B5M6TKNEgq3LkVWnXkAQnJwa3Pf8you8+BaQpcOQI8OijwFe+gqzf9VOBqq4QSGcytnaJh80i/n5iUQBcJ8EYM2/vnPc6/++d7Ci4cWClNYq6QFEWyKxDZlYWqBrbhZtZRBwpztnIk0IHdTo7YWI7v4FVtbBFglSeSOlgHYUlkY6LKaZ5itROD5x5mevAVVVldY9dh/6iTpPHZV75tZzbfOBGtsyfz2wxMKtffbVwiiCuq9IY0qFubML3YSUkXy38ds+4f49ENhHUTfsaAs4AR3rCW88Wmb24C84ESp1jmJETat001hWUNqbKwilyXaCsKnh1EK2x8uqbuOHJU1j//nOIt3fB6wbNyjLKB+5H+eu/Bjz0EERMnW1jscml1hdxAq5eJMzxAKTCkaVD0LW+pEBoTINpnmKUTzBKJxjlE58guo7iwE4IrpYwXzaMAX7yk7a7f/p0m/A7bXrX2T90aN5k68QJeuwKUTdkWkQTPuruO98HBoYkjGa6+51L/B8uF2VV4cJwE+eHm9ga7yItMpukM6u8UyEt8nnTo4s+1RzOe4TbpAoe4tJYcDZj8N3cyHb2A6kgmECuC6RFilxXqK3K2Gwx4ZJPR8ZUwrppg1PToiHTvqaZVXNxwgku0WsnDC0O2xA0rypROtnGq4QAI/5FAzDeOhhfy4rCXWfddvNhYJM/6//h19GZ5P4yB/CJqUthmXU5n4G+gLkE33W7Mf+Ywcy5UAFPT2asgZZ1n7f3zE133WvsgsjTAUJBTrtVU+OXPvUI/tOZbyEtc68cJYVEN0xQON+IfIqyJnIvt9KgigmkVU7E8Uv8F5gvAphtONBn20DX1FRzkw/BGJSdoHfCBKFSXmlqkk+R63KmIHVTDgHY94BzBybZUPgC152Jvx92WuA8WzoqQRJFkCJAWqQEK9Ml6tpxFugVcYWGK+T8FMoYgJO2lTueU2RyUF4viWqLEG1qkoHV2p+3UzSSnENJRXug/V6kAhzur+KG5SPob+6CP/EE5Le+DTYcoup0sHPvp7D1wD2YHl23+z3Bt5RQOBJ3cdc7Qxz5/mnws2fpTXj33cBjj6G5/zPYKzNsjraxNyVBgkHSw3p/DSsLk7G/11gUANdJMMbM5a6naQiCQS6tF2OZr5zsuM6rIwoVtqOflTkynXvnQT/KBPMKPkS2osV6tpMaB5EtEEI/fidrcwVlVQcAoNAFTS3KHJMixe50H3uTEUbZGNMytdjImvr5F12zT/AZBzPwBLT3KhBsj7ndcDyxawZedNDXAvP4XPrd6++9xn1fyvzMaNKCccRBhKNLh3F8+SiE4KgqIrON86mX6nP4U69ywTikJGlEpwQCtCoxRwaHcLi/iiSIkJY5Yc6L1BeTeTpG/MJLOPzEd3H4+6cQbe+CGYNyeYDd+34Rm7/8GLJPfxIqjkl60L4XldUaF0LA4sPgsMyO4DzrdAwQB+C7r5xCJ0rQj7roWejPxTwAYwymRYphNvFTgvmCgIqBfty9tKPVNGS0deYM8PzzwDPPABsblPDXNXX4+336M6vKc8cdwNGjV+zuG0Myf16Vp5giLXL/fnUkZyfD2QmT9+RUOKWfvckQF4Zb2BzvYJSOrfmVhhACldZeRUo7CMVMuGLdJYaKS4LtWaUaJ6noPmGE3afXUXGJxtSk/mMbCvQaNv7ZXXLuOuuuM+7UZZqmnjF/ahVTyBCM+S6+k8Sll4hIrLquoevqksTycuFw9g47/un0DYoAACAASURBVH6w+rP9da/kxltlqvkl0lzypYP6eJU2m/DDNG1yb9hMIWD8OftuvoWaODdcmnxwfyD3ey0UtZXJdF3oQLZdfmMMtKb3S9nU0JZ74wQD3LX91ld/E//z1/8PKKnQDRN0wgSRlQEtLP/E+ZcUVWUnWFPa8xiZKMYyhBQS0yJDXuetudvM/XWNL6e24wpXbVWM3FRECprAd8IYSZggEBKV1pYXM0FRlX5yQ5N2YWW36XvOOBM2Mff7m+3Wz7503OL0Y0X+Ft0ogQEwKUhGlwzmyOsBDQDu3h/w0x7/7nHcBfc/xmY+54yKNVu8McujcEZ2bnLmJgtONEEKBQenDaXCSmcJR/urWHv5TUTf/g7kqVMwZYnJ8aPYvv8XsXPPpzEJJaZlahsODEkQ4bYmxF0vv43uk0+BbW9TU+OLXwQefRTFjTdga7yDjeE2Cl16k7H1/hqS8MpNjkV8MLEoAH6GwRgTAJ4F8K4x5mvv8bOXLQAOEq5ImC0QqGC4NNnxv2OJXlVToagqL7VXVlRQeIlRNruRWwgHF95KXdlCgAhewpvPzE4PfJEgiKg8zafYm46wm+5he7yPtMholO5djRvUMH7nc8dsial0zdTVa4uYq97fuTnCQWFJBy8arpcQ4DBs3nXzgwwOjk4U49jSOm5cPYbjS0fQCWPkVYFhPiZd93Rki4O8lShsZiZAFq4gOPcJ6nIywGpvCUvxAL24g17YgWFAXubIsin0M09D/fs/R/LtJyG3tilJXV3B9v1349wvfwXpJ+4AFy021sE1ZjvbwuLGlVAIrDkawPCx9ZvwyvnXkVcFJkXqN20H++nHPfSj7iVdfioIMl8MjLKxNzEKmcDq5i6WXn8bnbMvQp56jjY/l/AnCW2Ex48Dv/iLLZznxAnC918hCgsfGFtVnmkx9QmP4MIm+onv8B+Eu+B0/EfZBDuTfWyNt7GfjpEWGaq6th1QmrR46cMrwF1IhlB5w6LGutOS0k0NBy+hzzNBEDnjqBvtibUk7dn4BMc1M5g1fuKMwTR0Bg0aP21wxFR3HoIJa4InfCHvcNGV7bQ60ut7hStoHMTDmGvv6l8cjhNljJte0Pf9tNavVfQ3Y2231yX2sL/v4P4Mzs0W9ufdecN/Nuxv+cKCsdbQqz0eWnlKW8wHVhmIgRpL2mhoXdvP+KXSzu11OkOw+QJdcoFf/8wv44+/++fEQ9OFl7d0RludgLryha68Tr6yjYWsLDEtqeDVtiCQXCJWITgXSPMpMl1eUpy6e++uT3Lh18t6ZnrFwKz4RmCnnNQUqHSFvXSIcTZBUVeenOtgR9y2ZJxmv3vcvViMzcB9ZqbfDh7ZDRIkEQl8lLry5NtcF16MgxlndueKxLbQMKY9jivs/PtrZprjJjcAvPpeWeuW18eojJH2Hrj75PhB6yzEkedfwuDJp8Fffx2aAfufOIGdB+7F7smPY1hl3shPcI5B2MGdOzk+fuZVRM+eIg7TbbcBjz8O8/nPYyiAjdE2dq3JWC/q4HB/DWu95WvieC3i4LEoAH6GwRj7bQD3Aej/LAuAg0RjmrmCYE4lpWqLBGOMx7bmdurgXCcdbpXOl9t+O7PdDeY/pE6L2GERlU223GLrpOZcx6g2BGNyCVhpu35N3SDTJUpdeM6Bm1Y44pfTxJZMQDdWR76uZhKXn3abpmBoN1SHt10EBQf5BEQyRBIl6AaJhZRZ8zAVgBtgXKTYT0fW0bP0ut260Va5Av41DayTcayiOdWrngoxePEVhH/278G/+U2wzU0YAOX6Yew//CAufO2ryG67GY3t+jvTHSmc3J5VpmpqX5h87vb78OQrz0IJiSSMSZrWwMo8Zr54IQlImg70ou48dEZrmFdfRfHcs9Df+jvw06eB3T3waUoQs24HbLAEc+cvQN77Gag7Pwl28iRhZK/Q3dd1PQ/lKaZe5pQxctPthq0qT6TCA5HqdK0xzqcY5xPsT8fYGu9gnE1959GrzzhZYHN5uUn3mVCCJG3J4bVBqW1CWGtfcreNg/+fvff8tezK7sR+e+8Tb3ypchWLOYdm6KCWpiVNq0fqHmNsjAzbmLEAYzBuwwYMGIL+BWO+2LI/2pJswB9mhIENB8Cjke2xNDJGqdVMRRZTM5PFUPXSjSfv7Q9rrX3OfRVJFski+y2gm8XiezeesNb6Je3967v0n65+x9sgQjjRBOZIcBMNCK7T5DBlLSARLNCKjGmbz2jjJzym5bV/UgTxYEnT7dFNbsKcf9BOJ975IzqfuAweQlls+e7K896V0n5p0jjLdBL6bMnCt6VbCsrQ1UgExsAo4xtUsnWuPaXLJ+l2kAAR/QZ+IRTxNV57dMS6dkElg5fUf/K3/yH++z/5pwhMgGHch9EGVU0UUhEGA+Ck8h56UYwoiDkwk5BvSm42yOvco9yNbXzuQxrEgAJTieqrDwSirWARM+BQe4qpg2H75jiI0It6GKV9JFGMWbbwSc6yPCPEoaW6yZDeXazJ0UEWoCR6l58hupFCxJqVXpKiF6aY5SRwnxeEpIvjjxwjLbUHnn4kDn+KBcrgYRCuRX7IdhawDjBGwTqgsTVrIsTpij6DOIrRC2M4iEFDiGP7S5x85kWs/82z0PsTVL0UO089ht1vP4mdYxuYLKdYFjmsswhNgOM6xiNvXcTJn76A8J13ocIQ+IVfAH7wA1QPPYhL8z18PN1GVuYwWmNrsIGj4y0M4t4NXeMO68bqcAD4nEopdRrA/wTgvwTw21/2AHAj1Q4JLb1IhoRlkWNRLLAoshU7xXYb2MLycsNvxZXO04v8DVuZjnMF3dwEYbCWNhFFXaBqGn+t1EqhcQ5FVfitU9cOVCvtEYfABDBKe//qkhOQJR/BCxI/QzMvguuD2/ZbkS70RZfpWs/xpomg/BhJmPjhLzIGWgdo6gazgm5uRV1QwyJ8cZDIreX10nGWwODoa2/hzP/9Z1j/yTOI9vYBrWHPnEHxg+9j8pv/DhYnjyIrSTzYPb8CbZBG9DruP3kXXv/4HTTc8HdTbHtRgpD1NtYSLaVqaqCuMXjvA2ydfw3jp59D/PJrMNMp1GJBLhjDIdyJE6ieeByLB+7D/m0nsHP8CMqAjuYoCDFKBhj1WnQhKwtPcRAERWolTZepEjfClSVXmgKzfIHJcord+QSTbIo5DxWC/HV56u3n5HxTqpT8PW1FkzBGHEbsS18hL4s2nBBiiUl0G+XQWinK4zsJ6qLz1jn6fp1zvhGCa39HiOlCbZD8EXooSiy5EhXyRkta9HbQUZ/6PG5pGN2Gm59FNvUeXmy5+LRUgUewRDND2/LA2zpaB58e2zQtKiNNun+O9g/U+KGl9yhGUQB0vnfbvl7+Od1xqpFFDn2v9NCU9k7aiuYAGtvVU0Qs3I6CgGxRmwplXeMffPfv4Z/9xf8Oo0MsyyVK1qoEOsAg6SHUISpb+fOyFa4bWg7E5LHfdGho5HuvsCxy5LxkaFzjcxXSMEZjHRYFNexX0nRovm4ZYyCoFZiSSt8fHYeilRsmfQzTIeIgwqXZjg+7Eye91rmPjvmmoe+payML5zw1DUL04QGRhmKDXpignxBlSCmFST4nymRVsEUroUGSGN1FY7omGDK4aU9fo//mETY6aem6HdDnK5Q/r/0BkIQRBskAkQlg4RBYh2Nvvo9Tz57H+guvQDU1slMnsf2tx7H/zSewbRpMljPkVQ5AIQ4j3D4p8cDLb2Prp88jzHOoI0eB738f7vvfx2w8wMfTbezM9mAdhYwdG29xwvYtZtX8FazDAeBzKqXU/wLgnwAYAvidKw0ASqkfA/gx/+uTt/L7keoOCVmZe7cU2lCSnWjd2TyJiIkga7r4Odte9Bxf5ORGRxsK5VECrQ2cbTjsqeBIeSppGKq6Ru0oabJmT2WypaPtRBrFiEzs7UMrfixp5uTmIRfLxlkaDD6hS8fVSgYF8M315wE9EG61BL3JcrO1HYTnJMtgaLTmBoNugNYnXpJ3eWxIZxKG4q9u0TTEZbVlga0XX8XZ/+f/w9FnzyOezuC0Rn7bKez/6vcw+3d/E8GZ05S+qgJYZ5HXJJj/5p2P4c9f+ym00syTT7kppfTaWb6ALQqkr7+BtZ88g/Hz55G8/gbMdAZVlGiSGM1wgOzO21F98ymYJ55C8sij6N92BzcQVGK9OVlOsTPfx858F4s8Q9nQlk2E+YO4h/X+GMNk4Ok8N3qzE+Hy3mKC7fke9hYTdu8qOG234Jv4qv5Gvot2u+aIQs7nr2z6FG/vi6byCBv9vjSWmjeJXfoDFdkZkvBSXH6ghGyBzjnIz6/aJlYaMKGPfdqS5lzcfcAageuTCA8+zioS4g78s+uUI29UntdTKTm3IDJtgrWC8suNytacmk7XNQlLdAfTflU7cIC5/oQ0tMPFys+gXdIIIiOvyRjDtBRxKnJeG+GXOR1qiXD/4zBCpNlVTpNwOq9yLMrMW6t2E+ylfvuH/xi/+y//AEpRirnQRwNj6Fi1NZwjbn4/ShEFIcq6RlblyIqMHIEcvGg8idgOVjjtoMcFQL9T5pyzYhmdprTc2tbIChoWrnR8iZiWhm4O1FStaFopcj0SvcIg7mOjN4JTCh9NLvogPMtDFlHUOqgNnxPOWX8QKbSZLZb/Xr55w+hGL0rRi1OkUYysIC1QzqGSoohz4EDNznDm3Z/4mDFGqEsyvMlztwsu0iuksLZhAXaxgqbEJsIwHWCY9FHbBmY+x/Fzr+LE0+cwfP9DwBgsHnkQu995EvsP3ItL2RTTbI6yqaCgMNQh7nn3Iu56/jWMXn2dgvsee4xCxr79LWyXC1ycbGNeLKGVwuZgHUdHWxilg0NU4FPW4QDwOZRS6t8C8CPn3H+mlPoVXGUAOPA7XzoCcDNKmqbJcobJcoYZi0XFIcALtJRwYEleJhZ8DSzDvu22AnCeQ6oZUm4pSbKtArszKLY+K1aEzmCaUqADxGFECctRijAMYZuGXWmIBtUiBXTRJTpJg7qhMLPafvYQMtEkeFEe1Nd2MNCKcgbSOPE345q54danhgKCnchn0zaDPDjJ9g1tuFBkWGgchDA6QBoGiKzC+NkXcPRf/F9Yf/ocwukcTitMz57GB7/0Lbz9o19Fs77uvbp/7eFfwt+8eQ5REKJpGmRVDlVWGJx7CUf+5hmMXngZ4VtvQ8/mlHaaRCg3N7C4/15Mn/oGykceRn37Wbg4XklFFppOP05hFGVf5FXuRYxiPSriQAlXM6yt6dqO9qL0ije5sq6wM9/D9mwPu4t9TLMZHculuCxRmm67aWzdTMS1xVoZzTp0AQia1wYhNR3DACh4wahQCciJpm0htLiUMOVBhr/uUNC6gt1c3Exev+gHnJOt6Cdt9a/3PGAkQ0aL1sVIvOqTMEE/TjklWbNzW4msKihrgLfhjTT4IigVTYNqrxLtc8qWGJ2GvKVPdf8sr0/oQwr0eTjV5gG0j8zDXIfWIzS+mFFVKLnGMlWnzMhqshFb6nZAkecVBFDO2dBQKNi/9+2/iz/8i//D206XtvIDQmCE4hnD6ADWUniYNPy9KEFkItSu9i5CgkgHqnW6I5qp9dv3QNMCICtyn/UgW/EoCJAEibcGLeryiseLDHOaNREe0WEEXPEwFZkA/aiHUX+EjXSEebHER5NL2F9OUDa1b/j1AVQLgB8WVGcY8OekaFAYSdO8TRfapXMOizJDURawsITk8LEnz7uCyMl31TlnrEfd4D87x0M4ITAxwjDEIieNgrwmGZZGvSHW+yP6rC5cwLGfnsPxp19APF/ADgaYfOtJ7H3nKewf38LuYoI52y4brbGR17j7xTdw9pmX0NufIhytwfzKrwA/+AHmp0/i4mwHl2a7nZCxLQ4Z+4LzWr7idTgAfA6llPonAH4LQA0gATAC8L865/7Da/zO12IAuFqVdYVlkWFR0sVikS8xLxYMIVNDTXZtJPRtOC1S+MhlXaPmrZhEosuFsGZhnzQf0tzIJkkrjaIssay6NoWtYw3dpCOkYQLDUDtAgrCiqZhr2aBxrcWoiKaqpkZZFWhuavsCPxh83UophcTEWOuPsDXaRKQNirpCxsmZRNWqCJXhwU2oJwSJKy9gbxEa5wWV9G8d4aFTOP3cy7j7T/8SR8+9jHCxhDMGi7vvxKVf/UW89Ru/ih9979/G//yv/jmOPX0Ox55/CZuvvYXehQ9hSuLbN70U+W2nsXj4AeS/8B0ETz6F5NRpQGtUdcV8+oUXmBK/nZI+pYmQLWwvSrHeH2FzsIFjo02s9Ud+ABD3nWk2xySbYcr++gBRlnpxCg1NlLxyib0FUXkoUbRs6RhNq33p6mViFkCD6TLdBsA5agbp32XTuNoYgj9XaQqEq0zDQNsgQGElTba7Lf88Sr57cjdxQEeAeTNKPgPRJRh2v5GGNgljpmWl0MqwkxCJ37Myw5xNDoT/3rVzlGuW/66u8OzGaKwONNojq4E2cKAFCFTbiLaC3pY6JYODaCZoMDeI2H3Je9tzk1g1ZBDRdZsTj3xBaSCPCeVF2gF7zJMTF12rq0Z86Fe/FdEAAK2A1ymwFWfhk3sB+LRnGghosBSHuEAHiDkksGksDQRV7o9p+d1WzGo9RTHQAYvQyZaYUAWyMY2Y4uNNMq6KEDCFa4XW5lYGsEBrxGGMftzD1mAdaZhgZ76Pj6aXsCiWHjn3jTi0P/VWtRecs8CPLenY8nOSwRCbGGkcA06hbFhXZ52nUkIpQmZqsermI5G/W68NUPrAkNB9XTRY9cIUaZwSYpotaKjiz8koyhnZHIxhoDF85WfY/KufYvP8a9CNRX7qBPa/+03sPfU4ZrHB/nKGvMzhFGkOTl+4hDueewXHXnwNiVMwd96F8Nd/A/aXfxk7xuLidBvTbA4FhfX+GMfGW1jrjQ5RgRuowwHgc66fNwTgk1RjLW2Q2OVA3A66m96oy+nXBkYrlHXtN08U5FP5G27OqaMkArTc6DOXUYeIQ/IUlwGj7Gz75efIBjVEL06QBAn5b7N1ITV1tDWiF8k3YetoQGkaD3dbtJzow7pyyXe8lo5wfO0Ijgw30I97cM5i0aGYZbxlFHSmsRZQDs463+zKplH0Hw4OTWNRWQqsQ13jzE/P4d5//ROceOl1hHkBFxgMtvew3NqAsjQUluMhJmdPY/uhe3Hxm49hce9dCJMeD5QBNxzGu3aIm1BVl5gXS+/AZZ31dnopUxuUogAp2dq2wmLKUEhZyFs1NWbZHB9NLuGDvY+xPdvDrJh3cjU6/O0Oz1c28yLMHcR9KKORFRlvm2s/QMlG/8obzvb7obAncr5RvPEUGh8A3qp/MeX59WjpdJ4icTMe22+sW8En2SFTunWkA2hDibNFVSGrMiyLDFmVsyZKNvj8/bj2s2xpQq6DnIhvO9Bu7IWiQ0iCZvvH7sZfpi1BAoRORQFQBortUQNGIjzdhLf3NQ/Zta3JnpORT//6me4jmowOock3gTLUdodCKaF0UhBfjDSIkYRE0aHAPho67j95F5556wVMshkmyzkm2RR5VUIa0DiIoLX2WrSqLvm4BcTaM5KcGmh2moIXhcdBhNpa5FW+olMRClbAbkSiQZFhuWlq5JwILS5RlJhOiIJQicq6vOqx74c1T2Xj75Y/szAg+tE4HWJzuA5nHS7OLuHSdI8Qc9fAWefPOUGywHGYTpZYIgIXR58D5hca2ptuGG3QoIFl60/SlhjAWVTWoqwL1vWQcN4fw4qPVT6QhUomOiSaGSwoP4AG4qqpMcmmKOsaMopq0BJk3BthUNbYfO48Nn/yDAbvvg+nDfYfvBd7334Suw/ci8xRYjMhqgq9qsKp82/gtmdfwtr7HyJKejDf/g7iH/5d5I88hIuLPVya7qBqag4ZI1TgMGTs6nU4AHzOdTgAfLIS0aIMA4IaiPsJQG4s/biHXpySSNOEUKAtU16Tu8yiID/5ebHALJsjY0qEeFDLhb4LbYpzhtwkuiI2sTcdJH2kcYJIh3BwlCZa5N7uTJAFMG2iaiyqqkTlZHvmbkqz8nUurRQiTQPYKB1hYzBGP+5zJoXE3VssqyW51+RLLPIFIzwVNQGubRAkETsIAmhHyIqtShz7s7/Ebf/vv8Fdf/qXOP93fgkfPHQP3n3yYWTHtjqpwgECEwHOomH9i7jQOGs7N3SNJEwwiFNsDNdxdLiJUTIANLDIMxb2zj1a1TAH2TnnqWplXSAvS5SWUKcV3rdzK4m64o4im2OtFJIw4QyCBA4W82KJrMhQNpV/jOuNoz4ICNKwfnlIlLS2HfznM6MJ8lnJuW2YZiLc8yRKKU8ADZq6Rl6TwLmsDyavd7fZLbXmYFOudIcCJY2T69ItjLcsVVp5Wpa81ta6kza/4vZDVCPt6UYiDhZ6lVAqK2n2OwsRoXPRJr8bLNYdUcBWk9zAytaZqXdCyUzCCL0oQRol3gksCWNqNFec50ocvL8F2uDbdz+OP3/tp/799uIURmlM8zkmyxn2symW7MSlIOnCAcqmoVyPpkTTNB71o4VCxFtuQ0sCCAJAdCYKsyx86q8c52I1rfk7E1c7YzTqukVFuuhxHEQwyrBAVjIrrly6M+BppdkNShADQuiSKMbmYAP9pIe6rHBh/2NMsikNZ3Jf8nQzx4OAk6+NhwFyM1KMxDUeIYenwoY6hA4CqI5FqQi9LZzPB6i7qE97tHf+xGi8a+lQFtYf41EQsm6gxpK1IBbWD/FxGKMfpdiaLHD8p+dw5OlzCCYT1L0eLj7xMC5+63FMj22htDXp/xQJlde393Dy6Rdx4tnzSJY5giNHoH/tB4h/+CPMN8a4ONnB3pJCxtZ6IxwdbWJjsObR1sOiOhwAbpE6HACuXZdRiIrliksK2cSlbBWX+lRjsXSrmgpFXWGazbA93cXuYp+gxir3HGmx/gPI/k22ZHIBbd0xWvFbGiYYJn30khSRIZGkZfpHxbalcrOt2IKVNlm1DxtqmmsHnR0WWNStvXd8GARewJfwTSSJEsRBBAuL6ZIaiFlB4T2eJtaBtgGF0Bj8o1/+9/G//c0fE3mEEZwFB5z5/AJQk9D1Did70QBaK0Qm5MaBGgbZXsZhjI3+GOv9MXpxirqpsbuY4NJkB5fmuySC4w2sF0gevA4IJ19u1Fq0LPS+A2NgrcMkm2FRZqiv0YTcKvV5DhgK1CRQSFWn4QLRacjphDz1aQveDlokeLW+qSJOtvMbZ/kWhEpjuKEQDYTj7bT8voZm33VCFbzYVmsEqg3Ic3B+Ay3fswScybAAJZoL5xFMeb1CiRN71ZrzVKylwVGEwytoEZSn/dBxHXif/igIEbPLTj9K0Y9TJGGK0NDrIbtosom8WhglDdAR27OuvjcJqHzg1N147cM3Pcqa1wXm+cIjXEkYI2IKzmQ5xT5njJBlNbzdqIProBjNCpVGjgXJBRHbU2l4G2fZGGLVVS7QBtrQ48M5aM6TCLRBZSu6hst1hdGXmIXcZV2RBudA/k63BLGkQY8GARk6BNkYpQOs99dgtEFWZPhwchHLIkPJugV0vkuh5YnIGMCKmYbt2Pt2nZoUHweyEBNheKCNv3fVjKJWfMw5PtHk/EDnn54upzqiYsWZCiYElEJeFkStRfvZGW2QqACn3v0Ip55+EVsvvQZV15gfP4qPvvkoLjx2P7I0QcNofWRChE7hyKtv4thPnsXmK28gUAr2wQdhfv03EHzve5i5GhenOxQyZgIcHW5SAOVhyBiAwwHglqnDAeCT15UoRMsy80JjBYU0SvxgIOmO4qgiaAPBz1PsLSbIyvaiLZs4ay2WVYFZNueBYTXNUi54reVdiDiIEYXcrJoQWmkWoqkO/xfexi8vc5S2Jo0CawvEneSwrl4a1EyFLP7yIjbd2VhyEjE1aHzD0QYhNwS/+a0f4ff+5J95MaDoSEIdep4wwL7YdUUWfnCdZsIgMJrD8SiADErB8aa14uZSIH0ZRIQz4TnhruNw49obtBwB5GBkkEQJoiBE3dRk5XkVoeLNrBV9BW5MsC6NspwmN/s1aihEYQRYeLeltsntCMsdVvnNTGvxb0jRKOLgaCvb5bR3sktkE0+NtmW3sJaOArSok2zJu5SZNn2Ynjbgbb/kpUgTKNcV2dbL9aBxDRrONWi4qbeMTDm2fcQKHYzfh4LPwhBhrDjVjNM+2TgyPURQjbYpLn367cpnr7QX2Eq6sgxzDvDNYnmV4UA0Wo/f/hD+6vVn/DVbQqZCTYYOZVNhni99kKXRZIXZuAazfIn95QTTbO5NJoR2AziUTcOIbuMRM8WoS8Doj3yvMhwYQ3TOsiHxfGOJfgKQ847uBFK17mWG0Tq6NjhY//eRoetSVdfI6uKyQM6Dn2lrm8w0MD6GoiBEFMbY6I3Rj3uwtsEkm2NnsccLDjEVaC06gdZEg44xWhyEYQAH5ZOaW00HVo9XEyAyrZbDOeevY+2w3HhkQTGi2WqJhIKk2gsIH/+CJAEgLV1dCeQHoTUlZY2zL72BM8+9jLX3PoQzBrv3340LTzyIC3edRaXo8QMTYBClGOYljvzkOWz+9dNIL+0ASYL8F76N8Nd/CHfffViUGfYWEzg4DJMBjo23sDlY+7kOGTscAG6ROhwAbk7dKIWo1xkK+jHxuwEgK3MeCGYrya5plGCUDJBECYzWWORL9ifexSSbY1lmKKuq44QACOdTuOKyYWn9oOUGLZvdVshquVkl/nrDW+La6xsO6+qlIT7qvGWFgjbap2gKB17g9P/87/xH+P0//UOvHTCa8iPKpkLTNP77CYOQkIYwBkBhYss8w6Ki7ALbMDVEOS+GdQduyFKt6FN5CoDW9E/PH7fODxLE3W6u6Fn+eVWXgnO95l1+9mYPrH7jzp+T4TTwbpaHdxbrvBZBFygtlSnzcKDOfzUl1YjjjaEEYzIydWzD2Uk/ds4fM93f9a4/flAAwA1gGAQIlPHNvQwIcWVb2gAAIABJREFUgGL+fekRKtG2+O19x4ZTHJYsbw5EDAqI4F0atpDdYHpY6w2x3hujF/cIXeDPx7J4tmQ75O61UYoWF0GHkiQbZmryST9V+UWIOFpR5gt9npKMa7T2g7lc8xzoNTxx+8M4//5rMNrwd9l4fj1Ag3g/7iEJYkApWNdgyZRLOT7SKIFWClmVY7Ig2pCkkIvLlnNg6lOzMhBIQyoDkrg3afbDVwAaS2iH2LF6ipbYgnYEsrIQICF407kf0PuPwhBg2t/VkBM5hhXrBzQ0oBUMDKBad6RelGKtP4YxGlVVY385waxYcq5H4929umeF45NBAjqjIEZgNOqmQclGAn6IpoMFmsMU45BsmAW9qS2JpSVNW5YDohcQowyykJVrXofW52lwdD90PKA3Te0XL0LPHW/v48y5V3DmuZeRzjM0/R62n3wUbz92P7aPjMlBjfUH42SAEx9sY/wXf43xM+egigLl8aOY/63vIvjbP4DbWMOyyFHUBYw22Bqu49hoC4Okf/0L0tesDgeAW6QOB4DPt6qawmQ+CYUoDWPybc9oGJhmcw8Rk5BpiBHbNIYmwKLI8MHex/hw/2Nsz/cwXc5JoOzpJ0DbmoAhfUDyEYAujAoIsgDAOy/Qhdmiaiw5E1nh8bZt2mflSX8dSzZrQgUg4SA5Pv3WL/19/P6f/qG34ZRAuWEyQD9MYAzd0BdFhmk29+4ituNGJbQI0Qd0YfZP9Xo7f/6ivkuFlrJCN+xWbPxFVffY9SFFK/hDewatONtILrnuMJS7lB2mTfn/BeR73jjr6YGVBBt2tBLy2IHhplbTkBiFoXeUkSZZwrsCbVA3IjzNUXCSujg0NZ0B1Du7cFNsmastFA7BJkgMTI9NWRF9jHpDDJnqGDPvHiDkQLbvMlysfMZMx5AmF4CnEAm1qGoqFrI771xknV3dUIuNs2qtT2W5cdn3yoOPH5T4c7r/5N149u3zvqEHaKNLVBp5L83K5rzHlCRpGrOSFj6CUohYv6xKLIol9pZTLIola2FaPnwjQ5bXZok42/FrpCEo5HRgpZTflte2grUWtbX8GTpAEV3IOkEINW/xtadtSUCXluNKaWij2fWo9CLmK50X8nhEPVPeFjTkz2uY9NGLUkA5LMsC82yBRZWhrmt+7vaxaaBsHz0wBklIlEUFcgcSCmSLUNJPh0HgUW6tFFOvxJbbrrj0RUFI9CPXeM2FUIi610cakAClTHsNUIAGAKeYiqXgmgZH3ngXZ557CcdeeRNBY5GfPIGPn3oU7z5yLyax8UhQL05xLOjjzMtvYvhv/gLx62+igcPkofsx+6XvAE8+CR3FKOsSYtl8bLSFreG6Rye+7nU4ANwidTgAfPH1SSlEvSiBBbAsMj8QyE2nH/cwTocY94YYJgMExni+98XpNnbm+xyHTkFpNf+eBmABn5ba3abRxRf+ptA9PqT5EVGoNBL0c/QzLBGD2NAByj/2z5PmYAUSv8L7/p0f/Rj/7R//j4iClrKlHJA3FDwnwXAAfCPQfk8NmoPBTJ3nFUnlrfRpC21KNp3CgRfo/suq7uZejm90mnxJlA6Yrw60TjXg39Va+PWcqOq7Cecbyca2tBlyuenYpfLw50XBYYwojBDJcaEUiUirgnz8q6IN67Kdra9vJrvHHFk30vazc546ePTHu9eEsb/uDKIUcRR7BxoJYxSv+q65gKT7Qvm3DedanUBzQO/QFTPry9AM0bsEiEKywwxNeFkTL/8uzkDS3DkehIUPn5e5/8xEO/D3v/kb+BfP/QnG6QCDuI8kTqChsCxpy+/tJ6EYXXFoHCEQsnGPghD9uIfIhIxONJgXC49sGEV6rdo2KKoc02yBaT5D4TMyGgDKL1SkkfVieNcOOJQ50moaJHegloUMC4RlCy5b91XkiL4cSe711CVN9CSlgLIukZXFVRE1/xyeLkTiX601YhMhiciQIAxCVHVNmqaqQl5lfnvfNRI4SAGKgxi9mKmG1iIrM3a54vA/oUoyFSwOaeiqa0aGuo/vHA0pYYJeFHvjjJUBA5cPBHL+y79rTeYQShE9Ty8ynHjhFUodfu8jQGvsP3gPPnziEXxw3+3I+TgPjEE/7uH00uH251/G4M//Em5vD3kvwaWnvoH9X/wW1JkzLJym42lrsI5j4y0Mk693yNjhAHCL1OEAcGvUJ6EQpVECBQpwyoocs2Lht3n9hAcCtneU1OJFscSl6Q4FNy0nFArFzjKKYdkud5jEww0aR3SEsmHxWcdmVEHBKRAFBeJCRKWU8J/bi7tcXol6wkFJfOuu6xrNF0gz+TJLgeD6/+KH/wi/+0d/cFV6zfUQFSVIDX3YEHPNW6laAgjz2L/k1+epcJBBRLewP1o+PW3GadMqm0XnrB8MAMEHVlE0CwvbSOPrPIUGgKeoxFGMHod0JSG5iTnliPtelch8kJo4MjW8RWW9QKcxkNdPomB+1bzhVwDA1BmxqZXNchLFbBEbw3BjCedQcphh1dnCr9KBWlckQJr91UWAlFxXQhPQMBOESNjlKmYRPYltw3aT30EcvVC6IRqMUBHlnwV79hd10TpX8eclNBGhTGmteXtMw9X37v82/vjcn2HWQVcDE1AIXm/kEY7aWb4eL/3Q5x3XFFA39Lty/RzEPcRRTHoVR4ueRdGiDET5JCvXRbHENJ9jWeZkM8qDlKCrYrvbtadW/DopmZxQJQDey18GA8tOYUKhEuSBeGnS2Gp/zFvm0FOTqxFyuKUk1199IOggXnJuaY2QqTtpmCKJSKCcsfFFXhWoa9reEy2qperIUSWDVxom6CcpAhOiqEt/3+omO9PGP/ADs7VA0ZSsc7P+dVJDPsCo14ezDrN80clBWEWz2/fXRuHJ+4sNoQuB0Yg/vISTz57HiWdeRDxboOol+OgbD+HDJx/G3rFNun6AkJ1BmODO97dx29Pn0Xv+BdRVicltJ/HBNx/D5IlHgB4t8NIwxrg3wrHxFo4Mv54hY4cDwC1ShwPArV0HKUTLIluBrY02SKOYxL6WBHQlC5uUUhgmfYxkIEj63j+5rCvsLya4ONvBzlySXOmiqbyoWOwvdYcrS1D9oiS709bppk0RbTj5VEp2KQc3LfLvwsc0yiA0hsWTlq3bvr7H5u/86Mf4r/7o977sl3HTSvjGcO5LHea0pxaQRWQ/7mGQ9GAUoWPLKkdWZExXqdA4Fu8K5aBzzPkUWxZxynaw1UtYzyGH55sTt7vrbBOKKLNpHWxqtvf0vOdOCY9dM4VFBLsyZHh7VceDHzelXZ1PwIFhIW/JHeB56N1rftdtSN6v583zwCN8aXIWouE9NBGSMFxp5tMwQRImlF0QRHDOorLNSuNeNcJrv7yp79KGbNcpqRG+t/MiZN/cS4PPuRcpL0n6Uco2oeTSJUGL4PcqSAGhpTvYne9hkk0xLzI/tMVhjLXeEGu9MYZpH0mQoGxKzPMlluWyHVLqio4LbtgF0RNqp9FEG5Ilj6C9gmSUnG4sCyCPsNg2ObdroSqcehG2RsyTF1rYSrYCWrqXNP+OqUFy3ZZjB/xdW0YZZVAIFLkWlRVRy652VfbUNx4kxGUnNIGnjAXGoOFBwDrHGgDbUtX4fR48p6MwwiChzBKjFSbZHIti6V3vAHhb0Jipllppenw+jgQGC43BMB5ga7jh7V9n2RwZD5M+OO8ag4/RAeIwRKhDGChsvP4Wjj/9Ao68+CpUXWN2bAsXHn8QFx59APmwB+ec14mt1w53vvgmTj/9AsIPP0JlNC4+ej8uPPEIJneeAdjqdZj0cXL9KI6Pj36tQsYOB4BbpA4HgK9eNQyNdkPM5GYEwMO+0pg0tmEbS4NhOsA4JQ3BIOl53mxjLeb5HLvzCbZnu9hd7pMojhEIuVElYYwgoK1TZEKQ1WmNrMyRlRmWZcE3bt7aWXIQ6d5ouvSUKw0HkJ9TkvSq/A3pq3qkdrfLbAmD3/6aDQBfdGnQoJpEMTb6a9gYrGFzsI4ojJAVGVnuLiaY5nPkVekdrrrCQGC12TWKgo0CdiMx1P37Btk5i7Ku2YWEjmJyoyE3HdHKWHv5QNFttCS9VTammqlAcIB1ND61aeXdxxFtgW4D6Jguo7XqPIdhAa6Ij03HilS2vwAYRRI0RHz3oyDkBUDItpqhdwwiHr6Cta5t4Lmhv1ozf9l3x2Jl+lxa2k7D/5TAw667VqADP2jEYeTpUnFIAV+Bub6rSlXXyKsco94QVVX5a1m3yrrEpdkuoaWLfUyWMxRVQZ8Wc7bXeiOs98cYJQOEQegzYObF0usY6NpJiIw48/TjHkZpHwFnyNRNTSF+nLwtnwtd43MOnsyJwmlXE5GpUe7aa7KOgMW6YRCRNTC0DyW0fnMuVBei8xClsCOa7Xw/hgcCQcC0UgiVQcW5BteyHPW4b+d7JBFwiH7U89S5vC47rjwKdU3JyN1BxiNgoPO0F6cYpkMkQYSyKbG3mPihQs5voh0aSpwG0IB0Kk3TWrYGxmAQ93FivIV+0mcjjnmr32hqNHzNvpo2yWiNSIcIgxC9ssbxF17D8Z8+j+G7F2AVcPGe2/HuNx7Ax/feDmsCQMEPicc/3sUdz72CI8+dhylKLDfW8OFTj+C9xx/ActCHcw5plGBzsI6zW6dwav044jC67rF+K9fhAHCL1OEA8PUooRAdzCwoaxKNFZxkKTeA0BANYL0/xlpvhHE6RD/u+Q2Dcw4ZJ+Juz3exM9/HjL3ja1t755qIIX3JPTDG+PRXCeNprEVdVyRKtJ2LLwBAwXDjIvSCK21euojBV1VsTDdD7dERQQC00n7zeq2m6eextBI6Adk0bvTGGPVHCHWAoioxyWbYXexjXixW/NHbY6UdvKTJlhTWIAgRG7I5TMIYoTbUINYU3lfWJcqmJotFscaV5qkjwpbn8RvzznO1jY+cV4RuQTb3dnVAENqKIA6m0zSRxWfrIy/NHdARwxrtN7zS4BwUyNL7D9AVz7ZJwBpOOW+nWd9gMx+yk1HAFCOxIxWjgEacWTgkrKwvFwmLxWcSxMzvjokyxH8Wy0z6mJzXJORVSTz/ukDBXP+SUZaSm/Gqbr36AeA/+IW/h3/+V/8n+nGKUTrERn+Mjf4aNocbiK4wFMxzolDuLHaxt5hiks3RsJOOMQajZIC13hgbA7qeAvDX4Fm+4GWKBJMRa4+ck+ga3I9SKK18478olv65hZpJ6EFGy58yI52QbbfV4oojGgvZNRihPxm6TmutPbWsta1FJ1uCNF6Vtyd2XgcjQ3JjWzqRULfKpiE6lr2ywxCdJ/T/HvU1hihpPMxRkFvDwYeEAsEBlSOBeM3Dd3v/aAfecTrAIB1AK8VJ7gtyi+o8d5f650Ci6sZrUlpTjiPDTWz2x8gZ7ZllRNUqm9IPSlcbCBQjkKEJsbY7xW3PvYwTz5xHNJ0iT2K8/8i9eOex+7F/YguOnzMMAvSdwW2vvo0zz5zH+I23AaWx/8A9uPDkw7hw91nkECOQBCfWjuLOo7fhxNrRr6Sd6OEAcIvU4QDw9a6qrrBgtEBEx/N8ibzOUVR0g4Qjv+ckjLE5WMOR4SbW+iP0onQFcqzqCtN8gclyiu053QiLiuz8xBWCxFkJwiDwDhRVXWFeZCjrgmhKTL2omo64C/AhMCLsq1zDXOQO35PXVsrRNuerOgwANAD813/0e1/Z1/9ZS1AeaojazbZhlxe6ScsmHb4Z8a41aEWEXfccuG6AGwlbiZpCfPOGnUHyKkdel6iqijakTDvoDqciqiSKmu4058pvzI1SbR6AiBplvSqvTt6jc7Ds/68cvE+6khAkbogkFEk2sYHkAaj2c+jyuIUzLkm0ItD02oauTuEadr4yXIheQLIFVv+O/hxo49178qpg7/4CeVVe0eaTRJ7RZU0+iXxbLnteFcj9Y7XC3bLqNPQi+HStxmLlfWjtN6yCZkhAWBJGeOj0vfjr15/DJJtimi1QyxZbKfSjFKN0gLXeCJvDdWwONpAc2Lhaa7G3nOLSbAe7833sL6aYF0tIInIURhinQ6z3x9gabGCcDlHZmhHbJSbLGQmGKxJVW2d5ay8hXGOijTmgqAvMi6Wni8nAVtgKeZF74XJRCX3FwVmLBo4FxjwUs7JYa41IR4jCkGk/tFyp6hqtZScQqEAYM5766ZFcT9tkhHaFhmagHDhFt/TGE1eqlYGAUZ4wCNELY0+BK+UeAPjQzKpzHDQHnM80KJ183BsgCWLkdYlZPme6n2UorrVDNloDisTYVSNDKWUYJByouDVYB5RGWZeYZ3NKO2dNg1CyBHm4/JxSCKBw4u0Pcce513D0/M+gmxrTo5t4+7H78M5D9yAfpES9g0YUBNial7jz3Gs49vQ5JJMZqn4fu9/8Bt574kFcWh8hrwsopdCLEpzaOIF7j92BY+OtrwxF6HAAuEXqcAD4+auDFKLJcoa95T6WJQ0FddOsIARbg3UcHR/BKOmvXGCstZgXS8zyOfbm+9ie71MuAbs2yDbQsLBJKUUiw6pgylBOXNC69MNAw+I1Em2FSKMIkYlgrSVxZF35m6w0e1DwyaRfpfq6aQCkaNNmvPgQCp6/fb3STPe60RKOPDV4RANxUGia2vPsfYYFb+1WRX7S4He8+VlkGZgAXevD1hpXeacVcAMhm33aWooIleSyK3x7OJ+QKs2T3+4rTXkRkijLKMJKw888/I7cnt2J2vReKcMN1ZUbeHPFpr7Lkyd6H23YC27wuw15UV0eBCd6BxketNZQjmxPG1ejrEkDIdtwMhdo3Vu6w77/jjuox8GG3iMFokGIEqRhjNAE12yG5HMF2uvYpdku9jipndDOUn4YaRjTUNAfY4uRgjRKVh6zrmuiDs13sbPYx3Q5ay2febAY94bYHKzjyHADw6SPjDUB03yO3dm+pwOVdQmxs+xFKdZ6IwyTPjne2BrzvKUN0VAg6EGBZZkhq3LkVe5dlwAKvqo5TKtxzcoGPTAGURDDKMPNMVA29cpwFejAD5IN6zqs6EcAtovV7EAlRzvRR+EUyiZHWdfX1XUJekbagZAEvoY0HA0fkwDrZBSJrUs+3yUxuH12et1pGGGYDAAoZLXc5+rWjYqHAq0CgNG+pvM4WilEJsI4HTBKRBQu0oJkmDPaLojMwaHEH3cAwqLCbeffwO3Pv4LNCxehjMbFe27H24/ei/fvvg21abUYkdI4895F3H3udWyefwW6abA8ewaXvvU43nv4HuypBmVdQiuNfpz6YWBruHFDlLgvqw4HgFukDgeAwwJWKUT7ywm25/vYW9ANqeGtSBREfANbw5EBoQRplKzA8nlVMPw69+JigeDBNzRj2NbOBCjrClmZIStpKMg7AknhawNtgucgSaFAwi4Syln/36VBq2viId/qrkJf9QFAQ/vGy4eYVSU5cHzGPIJPUu2c0XXH6Wgu6A9MllGe7mJ0QPSVgJvKjmBXGkTZ9iuId3/tG3xprhycF2wKsVqew29JOZSqfc3Kv3jhZPtgrQMBX0Lh8I31gcad/s5c9ndaX+6L3y3nyNYyP7C5J3SEGv6GBZFCLfF0Iv7QZfNpubGsmC7k/f1XskjaZt439PLZi0NPELcNPTsVRXytuJLP/6et7gBwtZrnC1ya72J3NsFkOcU0n3stAAAkUYJR0sdab4SNwRqODDfQi3srj7Esc1yabmN7toe9xQSTbO7RBq01hskA670RNgbrODraRBLGyMocs3yBveUEe/N9zPIFXROb2gt+x+kA42SIhA0ghB7kHYA0LUfomr7Ekq1QG9uQcB3wgVkyFHSxVNEsBCbwwyeFdREXHwDCzkAgbk1yDgg6ZfxAIBoFeEF0UbcBYNcqcbgSWo2kBGuoFgVS9HqM0qhd47MoKtvVSAgyaNCLEkRhROeAd5pq/PDdRfJahyD+O9DSoRel2BiuoRemiMKI8zcKRnZKb0sqQZBXquH2Pm57/hWcPfca+vMlml4PHz32AN5+9F5cOr7hByytFNJlhbtefRN3PvcqRh/vwIUhpt94GB889SgunDmGRUmCaK00BkkfJ9eP4c4jZ3B0tHXLaQYOB4BbpA4HgMO6VpV1hT12C9qd72F/MUNeFQCI79+LUozTEbaGa1jrjdGPU/Si1DcfVVNjxnzMyZL42kVFwjHLcHYkTY0OUFlCCOb5AsuStlhdCBiOhXLKoBeniIKQB4/cW751OcmCMJRss3cr1Vd9APgiqxUTdm03RUzuDvjey+8oFrRGfjvci1KiPiiNmmkNEkAljStpWQIYIvrTxtRaFgNa/+R0Y27DqYCWGqE7/2zDqtpmPgoiJEHETW6CkF1LpJkPO+fEjTTzV6uaN6M5b4aFLiIInDQ+4tHuXOtBv+LaxUJo59qNcreZl8ElCsLO+6MsgzSMmYYVI/SZF8GXyl2+kQHgSrUsc2xPd7Gz2MP+ckrOMZ1gxyiMWA8wwkZ/DVvDdfTjnv/+rLWY5nNcnO5gZ77H1KGF/0zDIFyhDh0dbSDgsMf95RQ78z3sLiaY5XOycWZKj+TB9Dgx3DrraUNiX6qVQlGVmJdL5GWBvMpZGC8UO+s1Gh6J4UHP03OYqqWUao8XHnp9GjXgh2XHA4Fs9bU26FL3AHYdsg1KFirfyEAgAW9RGHnqaNN0Gn0e7A3rHQS5qpnqJ88gA0EcRog4YAxwTC+q0dgalj8bAJfRfGTQiYOIwjmTHuIwQWNrlEJnqwpUnK9ANtpXeH/W4uhb7+Pss6/g5KsUNLY4dgQfPPEw3n3kPiz78Qo6tvHRDu469ypue/F19KoGdusIdr7zJN5/4kFcjA2WZYbaNjDaYBj3cHS8idPrJ3By/diK1u/LqsMB4BapwwHgsD5JOeewLDJ8PN0mt6DFBFlJNxKjRcSXYK0/wjgdoBf3fLCQhAkt8iWm+QKzfI79xdSLlWtbQ3yuAw5HaWyDrCwwL+ZYFhlybzva2Soq8fgOoXkDJDaJIoKMTAgFRUE3dekzEL7M+nkdADrMoMu+gdaNXxz7lBfMXulxVhvvrpc/CRkhO0seHIkbTsNhGEQwSnu//YpTVg/aELbbTOM37MYYBIZQqciEiMLIe9xLU59ECdIwQRSsbuw/bTMvJYLPqqkpdbbMfFO/LHNkRY6szqnxqCrf4IvdJ+kDWmRErCSJ7286TT25p8Qdyk3XhaeLSvgckS+xsbA+dKwN1RKURuxPBck4tXEc29NdtgmNPxO6kJc5tud72J3vY285xTSbYVnmnj5D6d59rPdHWO+vYWuwsWLJXNsaO7M9bM/2sLNogxul0ihh16E1HBltYGu4DgWFWbbA9nwX2zJI5IuVTINhOsAg7pHAndFWEiHT8aOURmNrzPIl8pKOF9KEOdG6ewOJFZ98WcJowygAI8CiHwD8dVewLr8Jd92BQHvzCPAjyBWgseThf73wSBnyfc4Fu2EB7flPyHNraV3VFZYHBgJ6LHjETlymwiCEc8CyzEhI3kG35D13iyiJAdIoxbjXRy/sQWntKVNlXSKryNWp4MWW8s9Oj2XyAqdf/BnOPv8KNt77CE5rbN97By48/hAu3ncHKmMg2ihd1Tj56lu4/blXcPztCxSg9vDD2Pvut/D23aexUy48Uh6YAP0wwXp/DSfWj+LMxnGs9cc3FVm70TocAG6ROhwADuuzlHMOyzLD/nKGnRm5BeVVTvxROAQcCBMHMVL2ZO/HKfpRD704RRxEKOoSs3yBWTbHNJ9jym5DwvWUoQAM187yBcHiDLMKVYiWN4qTQmljJY2mUC0kzCXUAawD8oqyDJorWIxqpS7bhN7MupUGABHEOQ5041v95/qccrMNtIHiRqBxjfd8v7HXDe+WY4zx/HxqBiktWZrBa3l6CyWInFlai0nh0YrvfKADgv77Y2yNNrHeH3t9y6epFQqCt9NsWnvNusKyylnAnyOvaAiu6pqtHZtVAaIDlCaEzLsddTQArW1my50Xm09p5LtUo5vZ0Hu6UMetppHv6UDz7pv4y362+zPNys9+kvvYL977FP78tZ8CoGM/iUQ/kKAXJUijFGkUf2qUoqxLaujnezQULGcrCcPUoPcxTkd0LA1JKCxDQV7muDjbxc6MzBb2sxkq5vwrpnis90fY7K/hyGgT43QI5xx2F/u4NNslYfJyikWZeWepOIwwiPtIowQRB5JVNTXAtSVNgIXDIueMl7pAwSgDf4NwDitcd0GF2uwJdthx/jf4+kvWuvyBo7bk+y8he5ppPlpdrpnRWqOuKTn5akJbqRZ5o2RtGt4VbGM9lcYYzenWhBDkVYmszJBzBkDXbQ4gNLkXpRgkKUIToKgrCiRreCDg37nSMkNzcFgvTjFMBgiDoCNkrrEoFphlS3YXIhqWBlHsrHMYbO/izPOv4MzzryCdLlClMS48ch/ef/xBTE+fALl20bGf7k1x5rmXcfa5l9GfzGGGIxS/+F0svvddvDtOsLucoKhKpvIZxFGEcTLEsfEWTm2cwLHRJt1nv4A6HABukTocAA7rZpZzlDo8yWaYLufYW5I3c1lXniog4jbhiPaiFiXoxylCE2JZZt7KbcbcW7kZiQc5+GY1Kxb+Odq8gba6biriu95yPBWJPJXxgkcaPETGJqJW7ekmN+tsuZUGgE9SGupzD2jz7iCdTXVrWdj9/+s/hupYdspxQEmtjBC4NljKKNokplGKjcEajo22cGS04R2xyNFq6bUtABAacm4ZJn0M4h4LNRsWIHeaeW+pWfttbFGWKBsSL1bNqod+40WK/iOAEqcsFtlGQYReFCON2vMnYlcd38wHgQ8mu962T7bo3cb6alv01Z9Z/W9ts96sbOM/aYnmwOg2tdkc/Cf/t/ZnJRzMdH5m9b+FQYhZtiD9UcXISUkc7u4ZHgcRejwMpBwslkaJp8J8kqrqGjsLHgrmE0zZTUboJcYYDOM+Rr2WArTRH0Nr3QqVpzu88ad8C6EOSYrxOg81oFopAAAgAElEQVQTR1mPUNQltqe7NBQsyMpZUIDABIiCiFCQMGZ7z4aRV8oYgAOWVY55vuRjljUQTlp75wfXblq07PKNpiaY4Tx0t/yS+gwH1J2AOjnOPRLoHJz8riNUQkFR6vb1BgKtYaCY0mf8YzTgoQVAGESIw9YmVYLY8jJH1bE0FRpiEsUYpyOkUUxITLEkm9emQt2lqx58LXzuxkGEftJDEkY8bIewrsE0W/hATllqGUW2vK6x2HzzXZx99iUcf+VNmLrB7Mg63vnGA7jw6P2oxiO+Tyk45bD1xns488x5nHz5DZjGojxzGsWv/C3Mv/Nt7Oga+0ty8LO8FAu1QS9OcGS0idPrx3Fy/fhlIvebWYcDwC1ShwPAYX2eZZ3FPKeGaZKRu4aIBaWRUezk4OFjKEryjFP04h5daB2QVQVmOQ0FeVkwbaiBJF9mZY55scA8X3pBF4k/u24qrauDaAUk5VjsH43WaKxDZSu/IZN2U3U8+621n6kR/ioMAG0TLS45ip1xOn7azvFGr2kb1y9gQLjeM0iIHLnkBN4CMgrIblG2hQAdp1Vdke6kLlFVJRrfjJBTTxLESOMEo2RAKbdwqBsRHBYoeaOpFLxQV7zVu6Lhbhpv175ULAlFs5BECXph23hKsm1giOag2S61bbqbL3SLLq97tfnuNOOXNetXaNS9bemVfrbNWbjZdTUNgHUWORsSkHA2Z5OCfGUYo61w4gcCQQ2u5z50sGpbY28+IZHwcuLtQbs6i0Hcx7g3xHpvjK3hOtYHYwQ6gLUWO4s9XJoS8jrpbPwBEimP0wFrETawNdxEoDXm+QLb8z1sz3axt5wiKzOUdQ2lKJsg8IGPIWRANsowRVMhKwssigWKpkRZVZ18DP4MfRAk086cUINoG6+18aiEfBekMzCQtBc6ZtvH9cF1DnC8HZf/JuL0BpZSoq9xZRCbXLrvMCrlqULkPBeHRHnrhQmstTwALZAzUtytQFOI2Fp/CK0MHBxm2QJ5lV9T5CzUpTAIkQYJI1AxelEPzllM8xkmyznyuoRldAZyjchyHH/hVdz23MtYf+9DQAEf330W737jfnx47x1wbO+qnEJUFDj14ms4/cx5rF34GAgC7D7yAJbf+0VkDz6AoqnJQrYufH6EBAFuDtZxav04Tm+cxLg3uKnn4uEAcIvU4QBwWF9k0SaLBMGTbIZZvvA3YvFppwsp3YjF6g4gi8F+3EMvShCaEI21KJk+tCwz4lg2lEmQFTn2lhMsigxlXfINtbVMBFa3Tq0FZAjNNxgJ0wFECMqpxvx6RIgmTdi1AnCuVF+FAeBaJTxycQlp/8z/XWkvlv08CEVdka2EqVl0KD8s3pOtpLwmoYCFQcDWhS3NgygN9BiSxCsJrP46qQibMNysBjxMyFAiDXbr1a/o+UyAkIeQIAgQm8hz7EMjNBzTPsbKpr35Qrfoqz9jrrhFFxHwV7E+qQjYOXKtWdFaiJVxJ9As0IaHgnRlQIiD6IYbKGstdhcTzlqZYLqcYVYsvBubUhqDuEcb/8EYm4N1bPXXEQQBpRhPd3Bpvoe9+T4m2fyKKcZiRbrWG6FsKkyzOXbne+TclrcUTLGMVdAetbXOIuBmFyC6k+S8FFUFy424f7/OUSK88OdBOQXymrRScNwQA+LgJcF0HXtdvyBqB2bHVrvWJ3Mrn3UgeSFXy72Qgbury6k53E1cw+R8TaMUSRihbhrM8wXRVJvyMnegKAgxSgZe+F3bGtNsjrwsyOr6Kq+FUr3JHS8OY0LEkx4iFWI/m2GWz5nL33jdjnMOw519nHz2JZx67jySyRxVGuP9h+/BO994APsnj3qLY6UU1j7ewZlnXsKpc68gWmbI10b4+MlHsfftJ4GTJyHoTNVUPqzPOUKmxukAp9aP48zmSRwdbn5mHdPhAHCL1OEAcFhfZjXWYpbP/UCwyJeQKPphMmBKEMHtlJBJN2C5+RCFiJwvFIDGkYPDslx6+kVZF9hbzDDJp8jLgq3qFAyLwwJjaJPbVP5m0TZMtJOSLRGdKg6N3FgcIKEyWmvP3yxvQGT8WQaArlTWrfz99Tfjlz8WQ+4OBDc7aZA+/R5fdf4f4C2fwP8s7JW6Hox/48/ZCgJlOy4bTOGaX+1ZJMBImtu2VxNtBIcruXZT7j3EPc1I+8181+Wmu70T1Ms3hhyKtdpgf5ot+gHKyxewRf8q16d1ATpYjq83hBSIw1KBrMxQNe1CQCvdQQqSlk50g/oRay0m2cwbL0yyKWbZwjesFAqVEn2IG/yt4TqiIMI8X+BjcR1aEvVIhgmfYtynQeLYaBNxGBPSms2xu5hgbzHhwEdCQ7uJzEYbvl5LJjWhXVkpWpUKDWiQlWujVpqH6g5FTNKLsSrsb8X9oHPIcVp851osiwAHB9s4OKEGsX7LQEGzcFY0QVcqSQkOtAHY/cv6QR4whob1NIoxTAbQTJname9jUZAFZ6sfIIpTGNJAkIQkNF+WFMRZNte2QBW6EFH8EgySPpIgwrxYYikZD03Hqamx2HrrXZx+5iUcf+l1qKrClClC7z96H/Jhn9+jQtBYHH/tbdz2zEs48vo7UHDYueMMPnzqUew8+iDCXt8HgxqtvXNYWVcwWiMJExxfO4Kzm6dweuMEoiC87vF7sA4HgFukDgeAw7qVqm4aPxBMsxnmxRIAXRBJNDf0F98lu58sOOG4u4lLwtgLhxtrUXLQWFmX2JlPMF1OsSiXDFMDgdYIdYQ4InFcVpYkUmNI1DtWwME2q3QJ+X/FNyHaHbmWXiJUjAMX++sNABLQIw4t8nhN08Aqi6YRtxOB2B3xbF27IfPbeK1W7P6ECnWj5d11+N8/TcuuIBZ+hpv09hFFpyG9UF0zf959MlTlWs/d3SrKpv/aDiMtxaV9fYqbb0rwlYbCDxj8FcgQkEQxc8hTvk9Tw0PWthQKFocx1pj3fWS4gY3B2pdqkfnzUDdrALhWES3xcsSgi2oqpZCGidcY+AEhTK67ZbXWYpaTE5CIfmf5gjNXAChKih2lQ84aWMPWgIaCvcXE6wLEilQ+jyiMsJYOsc4/vzVcR9U0ZNKQzbHvkdXKi4fp+dCh+9A5INdGyZmQ5N5uVkFgAqYR1hwG2aCqO2Jc1V57lJL0awniw8p1WClq5AXFFSTO2jbB2EDDGA3r3NVtOQGmOYYI2KDAW6aC3X4MGVyM0yFSvt/sZ1PsL6bIymLFeECMLCjLpo/QBGisxaJYUoKzOHVd4XWI0UFgDJIwQT9JkQRkCyo22VXTZhiYLMeJF17Fmedfxvq7H8AC+PjOM3jncaII2ZCtXKHQmy5w9twrOP3sS+jvTlDHET549D588MTDmJ45iTCkAWScUhDdNJ9jfzn11rdhEGJrsI7bNk/i9iNnMEz61zxm/Xs6HABujTocAA7rVq6qIQh1ms0wYScNgDb/o2SIUW/I/tcJyqbyw8CiECeL9mZLmyRq4ukmU2FWLLEz38OiWFLUPciFwSiNXpwCiiFRvqmKiBQOsCBKRm0bOMvNpAhOedtLm6RG9sS+kW5sjd/+0X+M/+aPfp+5rwqKBXNGEe2CaCi0KfOCt44jh2yetVIA8/I1NIIgaPV2/LxgLrsWpEIcjjhFU8SnjR9sPlmDT7fjzrb8E44HYuEpPv9dO0G4FiXoWg3erDLc4NNQYD3l4LLXCHKYCk2EXhgjDEPvZCRDgYNj6lrhOcByTIRBiCSI0I8TDJMhojBCXVfIqsIHPQHM+0761IT117AxWEM/Tm+oKTysG6svYgC4WtVN4xGDFjXIOV+lLZ9szPkVMhhcK+HVclO5Pduj5p4DzMqqvQ6mUYJhSlkFm/11bI02EOgA27OdDsIwQ35ZivEImzwUDJK+T4GfZQvMO2Fl8tnKRlw2/aIXkuC4oqq46SevfdnyC8JgZRjga3W74OkOBJ0cDtcZCHgqEXSArEVZJ+OcF153MyxEm3a1a1eoA68doFwQsTXlbX8QoBf1sNYbIg5jVHWF3fke5kWGinNv5Loq15IkjJEGdF6XDRkD+GTs61CXQkNoRBLEfqBonEVlyT2samqkl7Zx6tmXcfq5l5BMZqiSGO8/ch/efvRe7J06Ctm4KOew9c5HOPv8yzh1/mfQZY3Z0Q289+TDuPDY/agGfQTGIA0TbI02sdVfQ1lX+Gh6CbOM7GeNNhimfZxcP467jp7FsdHmVdGtwwHgFqnDAeCwvkpV1RU5DGVzTLKZ30QYbTBOhxj3hhilg9a1panZQrFFCoRCJEmYAF3Qp/nc05D8MMBi18hEMEbT1qtpALSWopHXI1QcKFWv3EKMar3ny1pScoHf/uE/xu/+yz+A+E/LDa3d6q+63hAvVXuai1EGYRD4kKmQN0ze0jCIEQYRAk2hV1m5xN5ygmlGmomyKpnS4la5+m71FrjqzH/wT9cuP/J4PjA589/479P2i/z7A7/Bh2PI3zX0fTjSdNwMKpHwccWxysKu8Pr9z3kNQoBIvPC5OZOBQKFNSS3rErW1cOw4pJVBFIZIQxK8D5I+FHNws6og7QrTIkQYPEopOZbE8S2l5BAx+GT1ZQ4AVytrbYdK1A4IWZWvvNYoCNuB4IAA+Wo1z5fY6SAF03zRNvgA4jDGKBlQkz+krAKtFC7OdrDDw8Q0m68MqT7wbLCOzcE64Bzm5QKzjGyaKw7YA+CvxWVVEhLb1L4Jb/icqJuGvP9t44XFSisELNoV0X0lTlqV0Cxdu2DxiB1ZbYIXB56yxEieVpp0CXydFy5/oBht1QaVra5K09FKIdShdzhqXJu1IUuiKAgxSocYcPDWNJtjUSxJTGzZOpSv8TQQBKwHou/R8hAlQYVXO1plCREybSeJYoQHcnSKMsP4Z2/h1DPncfyl12HqGrMjG7jwjYfwzmP3IOv3/NomzEuceul1nH32ZWy89xGsVvj4vjvw3hMP4dI9t8Mx7TAJY2wO1nF87QiUU7g022HXvxIKJEI/OtrEnUfO4OzW6RWq0OEAcIvU4QBwWF/lKusSk6ylDMkWLTQBRimhA6PecIVra63FsswJJehQiMSqMeet3DSfY5FnXtyrFHk6x0EEYwyKuvRJm3CUeRBogzAMUTcNlmVOVmtYDZUK+Obwn/7ab+G/+1f/lGHxhlwsOkI3eU4RrRpjEAcxkjAkH2veQEMpwFrUjUVlK4Lb6xIlh6a1IVBtwA+BFWKxycE8msR3gSJPfbHFFLqMiFJleOrekfxN0rX0moPDhIj8wLxeodaI6FYCim5kPPBBQkIJEKRAnlNEwP41fLZrnHxWsk30o1kHLRANgtGG3FR4OCPqFn3w/j2ysLdhhx4ZlMSacRCnSCKy9DQAioaGS3lPWmnv6R8FlLZ7JY75p7Gr/HmoW3EAuFo555BXBQ8F2cpg0BWFhx1tSS9KmVqUIArCK25iszLH9mwXO4t9shU9mGocRIwUEBK12V8jzvtin6xMF1Ms8oXfVIdBhDFbkW4O1jGIU5SM4M5YWCxuVYJwFqyfkAG5daNiJ6Bu6JaTpQu7t7F2q2oqlHWFkm0t5WwXnEAonP7z5IuU0TSEi85AAgG7+KeI9x3g7U6vVEYZRIZC0YTOJNdIpema0AtT9JPUowNZWaCsSho0GCURnZmCgjakAwh1wKFqpC0r6wr1ATciKRmCZADphQl6cYI0TOEUKExzbwfrz7+Ik0+/gPV3PwQAbN9zO95/4mFcvO8ulIYGGueAwaVd3P7syzjz/MuIFxnyYQ/vPfYA3v3Gg1ge2fDHVRwStenoaBP9uI8lo1CzYk6WszrAen+M0xsncN/xOzDujw4HgFuhDgeAw/o6VV4VhA4sp5h0vNqjIKRhgFGCJIxXfk9cPg5SiGb5AvvLKfYWE0qD7IjuYkOODYE2BL3WlaeRALRtijgptqhLzAuCyeVsO6gBoAZS01Y4oIZOhJwAfNNY2wZVTdB57Rtny01vu81qH1c0ASxSZfi59ZIPvc5ABgRhEGl2yQi09o458nvWWe8WIXxgGaKqpva0KBkaZDAgEbbzf7a8NRP6UHvTBiQoq/sY1ysNCSQyUJJ66wh3aF2c3AGU5fMp+U4lNZgQGcNNBW89mwaVrdE0NVt5Om/HJ1zjMIiQsoUp6UEMyP+ENoBxGLNbSxvGBEhTmF5mWRmaKzeFPy/1VRoArlZyzWqpRIIaZKg7eijjnYmSFY1BcgUBcl6V2JnvYme2R0hBNl+xFg1MiBEHmK33x1jrD1HXNbbn+9hb7GOSzVZSjHtxinE6xEZ/DePeAGEQYlnkmOVzLPjnqEE0UEpzUi7ZjFKzW6JqGj84e60TaMMvonc6LwIADkVD+RqS9Nu9bnQdhEQvJZsML75XClYp1HWFitPp5fdDEyAyESdxX9nVR0GStQO/gKhtDWEmKU2NfS8mLj/RnWznelqjasrWLhirjmeRIRvjxjZkh92UV72GCe3TsLXrIOljrTdCEsbIqwLZ229i/Fd/gxNPv4hkMkWVxPjg0fvxwZMPY3nmFGprSYdV1zj6s3dw5pnzOP7aW4B12D1zAu88/iA+fPhe1FHoDRBE6zBkGqPSGrN8gb3lxFPEfvyr/+BwALgV6nAAOKyva8nmTPQDk2zuIek4iLx+YJwOEYfRFR+jSyGaZXN8OLmEC7sfYpLNOYWYmtdAUSNNMKdiEZroBGpY66C1QRJECHWAWT7Hj7//D/E//Ot/jkHcRxJGsLCo2Fe+qivmqwLOtmJfuWE72wp5BeoGmBOr4B1hjDEseiOakGHEoBXCWs+7lfRXCZCigKCI6Uvy921SLNla0p9FJPv/t/fm0bZdV3nnN9fuTneb1+mpseRGlmUbYwvsQRWhKcygSTkVMAMoF2WS4UCANEAI5UoyqKoUCSRAGhKnSCAmw2UgrngkBAcHV2EadwIbkGRbjWVLtmXJkq3mNffe0+1+r/pjzrX2Pved27z23qs3f0NP95x999lnn3PP2mfNNef8PkfTsP8Dl2vx+88ZlZmUt5RtRsHWbbOe+0K27WtzPg78+sgr3DTWilmW9GHsMZV3k2WXgfAdu4AvKXJqP1dGl2hnuG+AU/6xrOQP4h5AJIorpTe3cw6o7lUYEGcXJDgIZPIUmgD9KEEcxRhEfQySvv885lW+0CTvJoVd19tB3L8oucqjzPMhANgJV3+fiiKR6zFIpWHUYYh8MNANEntxsiDvWlQVzknD8PnZFsbpBLM8bRc6gtBP9o6N1jFKRiiqHOdnm9iQfgLXQ2WMwTBhF+P1wRp/5gHxb5n5jIa7ztR1jazKud8gnfox4X1e4MIBmSTLarszwDNkUFYVspJN3vK6vCDod9k36ogSWMCrggUwqC33IjSdMkAC8WQ8CPyix7LlBAL5a2QbDMhShwQjSRghlmttV9q4rEvfOO6yuUB7TQyDEIOohyAIkJa5+FXsLBXsZYmDCKNkgOPSY4S6RvGJ+9C/+6M4+eBnYMoSk5PH8NRdr8SzX/0qNCeOwTa80BSOp7jl/ofxgnsfxPDseVRxiKe+4g488VWvxMatN3LJpiggORWy0LBRXS9KUNsGb3ztt2kAcBjQAEC5XrDWIi0ybIkp2Xg+8StlvSjp9BCs7Cpt5kqIvnT+aXzu2cfx9NYZzIuUlS2ktCUgAxPw6n0kZR2BCVHVFbIyRWMtfuSb34x/+4F3+eM6KVGuU2XJPCs+BaydbX1tbFc606W4idoVZ54UduRMpYyoFyfoRaJMk7C51DAZyKpSiFAm912pv/1QNw0725Y58rJAVuWd222Dqyv3can9bsagkkCp7pi4Qb4wWeXCBQnWB0Sw2wyFAL+q5wKwRup497rKeaUjatWC2mKsVlHkauGa1N3npRfFGCUsyZdXOdIyR1bmEhw2PsNCxIEfSVO4z/bIZ497B1ZwYrSO9SFPusq68ivGLijmczDLV4u3TQqPOs/nAGA3qs7fvduEvKBMBGr7iKJukNjzpShVVXVKgXiSP8vn3sAsMAFGPTYwW+tzxrWqa2x0GpNbF+MIa9KUzA65PZR16V2LAf5cDhPu68qrEmmeYpxOsDnnss+yqdDUEigTWrEDyVrGobuuhaiaCvM882Zdy8a1Vw3zG0gybyQypq48qVXucY3AzlV+5/4BDtZhAUsQtTl4sQDnTeDOOYkS9MIYIIO0SDHL5sgqvg40PhiBlP2wgVnZ1Jjn8x1LltxjSBSRkjDG+mANNx87jfWGUN19N8IPfgijLzyBBsBzt9+GJ7/qFTj7yjsR9Xosq9o0WH/yadx8zwM4/cCnYfIckxNrePyuV+DJ17wc2cpQsrEhBmEPCAxqOZ8f+eY3awBwGNAAQLlesdZiXqTeg2CcTv0KSz/uLQQEe9VSb0w38dCXHsUXz30ZW/OJGLa0brR1U/vazIHU5r7pa/8i3nPv+2Ftg7JiEzNWFGI1B7dC323S5YwDpJzH+JX72K0khzGbpSU9DJMBhskAK70hVnpDRJeg1+xobIO8LGSSXyAT5ZquvF8XIuKG5ChBEsXSuxD7LzPnAN3FuTmn0p8xTqeYOpO3pvZN1r50p+G+hKIqW6UkKYVyQYI3KJPVfjdJ9gZBElQ5re/droR+gi3lB0yrN361cAEelx9wA2gSxVJDXUgZUbVgEiRn5vsiXHDa/QyuS8PnidEx9OM+AJaYdY2oyyaF3R6DQdxDL2onhUeJ6zUA2AnXLJoWKdKyLSfKinzhs52E8UIDsgsUw4An1huzLZybbLauxtmsXbU2BsNkgLX+Ctb7KwhMgLKusZnyvt1So37cw+pgBavJEL24hziIMCtSzPPUn89APoNVUyMrM2zNpzg/25TAoZQFBTaAJNM2+EZBhCjiUjpXppMWGfKyEEPJeqFvy0Hb/h8Ege9Fqm3N8tDg57PgsiYDAzJGFNaW1+27BSMig7op+QjSS8U9TnzeSeR6fdz4tyxnnaVIq2zBd8L1mvXjHgwZf73e7Trl+puCIMAw7uOm9dN4SWEQfORu0Ac+AHPuHIokxlOvugNfvOsVmN52ixgZxgjLCjc+9ChuuvcBrH3hi6hh8fTtt+ELd92JZ172IlgRR4hMgFEywA++/vs0ADgMaACgKIy1FtN87ktWJtnUp6SHUsu6OljBam/EHgM7sDUf4zNf/jy+eP7L2JyPWWmIiF1eGyCvCjS2wY9/+1/Bv3r//y0ycm1Ta1e9AmgbgeMwxlAmX06xY9hrm/0u1nF0+2svqhJ5xRN610icy+3uZBCQ9LeoTmyf4CdhvGPj4aXAk5PFOmfu1ZhL5qCW1bBWrcf1S+RlibIp0dStiZfvJ+jU/7rXRPL+cwPfYhPz7p4B3dd6dcuH/HPK5yYgDgCTMAaIuGm9E5S4ZmtDxGoldY1Kgk6XMQikPG2QDLg8o7+KYTJAFIY+WKolCNtNrrK7YrybXOVBowHA/mgsO7L7sVe2jcjdXqM4jPx1aCAlZf24j4AMNtMJZwqm3CMwzmao61ZYYZj0sdpfwYqo5VRN7bO0Tr6UiDBKhlgdjDCIuJEW4Ou1CzCiIMJKb4DQhCiaErNsjme3zmFzLv1bVdVKMhsgpFa0oScZWtc/kxWZL6lxalzLRnU3UxC4rGkn6AZY9QzgUimy3GDF0qfLj+dcthvLWV+nm8ZCDUb6sAIp8xv48qG6qngxK59I/0MbcBjiDHAYBmhqi6IudnQldq/ILRjEYYTjg1W84swcx//kPuBjH0WVphifWMMX73o5nnrNy5GvrrAYQZzg2OYMp++5Hzfe9wCSyRR5v4/Hv/IOfP41d2Dr1HEAwFvf8MMaABwGNABQlOU0luvYuwGBu2iPekNpKh5htT/aUYZxmk7x8NOfwxfPcjDQ2AZhEGIU9/Gmr/0OvOuj/0Um2KUECm5i54xfeHLVCxNEYVuDn0i96EJdfrhYnx/K9qBjZNNO7LulOryyv/06wJPKxYl99/ZB14o3TSPqKK376rzg1D5LCtZeOQfiAsrlRBWqqkJRF9JwV7HiCBo0jVMQcq3C8vUufgtWBMs5KdNOCq7NlH//BE46lQLAwJfvuGAyNCGSKIKBQdGUPGGoWklEI9roURDISmvfB3v9uN9KpFoXbDULrrSATAq3adgP4t5lZaKuFBoAXB6uv2qZbGm318StQnd7DJIwRlbmODd1PQJjjNMZqro1MBvGfa4Zj3sgy9nBaT5byNJy78EAw2SIftRDFIYoq7JTNkTsoBv1QLDIygLPjc/hufFZTPM5cpHjdNkx5wcQR5xJjYPIl08WUsrIDsf5ruWAPiiQAN2V9zSN9cIGkMZcd+VwsqAXHsv1J5DPCLtrkis3jcMQcehKtlgMoBdyk+9mOsZ4PkHecabvqpUReMFgp2DAuIUNamVURw3hzseexq0f/xSiRz6LvCnxzEtuxROvuRNP3/kSNJEomUUJbn3iGZz604/j+KceRdA0mL/wVnz+1S/Dt//dn9MA4DCgAYCi7A/nvLklAYFzz3SrU2uDUetUvKQsYprN8Zkvfw5PnPsSNmZb+KHXfx9+9YP/Ab24h7XeEMdHx3DD6gkcH65j2BsgMqFMYlkHuvT18qWfxLrbTmO+bnhFvJYJsDOUsdYu9BgYY8QzoOel4gbSD+C+pI+q6ZSfnCysWvLKZe16KuQ9MWRQix8EBwcl0jxHXhci0ScBgpQdtSZCUjBkO8GBu47KCqDzEGjVjQ4erjF2ilDGGyHxqmKEOGA1j9rWKErWILfEK5FsgiYBaBgjCqX0LIgRhZG8I7YtuwIkI1NLIyBPpsIg7GQK2gDhSmaN9nwfNAC4KrhMoms6nndkS7slKoExC5nLXpiggfVOw5vzCSbpFIXLPBKhHyVYSYaIowjW8qR5KplA97dMogSjpI9+POAAlwzysi196cc9DOMBgsCgbhqcG2/gmfEZ8ZRJUdXsQ0CSkQ0NK2xFYegDgsAE3rMhKzOkRb6rozDQBgWBIS/z6cZKYxsOBg8B0JoAACAASURBVAjc12Mt6iUlSA7jx1crd+r6fqIwRBImSEJeJApMiF4UIyCDaZ5iY7bJPRMdw7M2mOAFjmXP7UwsjTjKu36FlY0Jbn/oc7jtk59GvDlGFod48itux+OvvhPnb7kBkGvL8Yrwsk8/gRN/ci96Tz+LF/zxPRoAXGmI6FYAvw7gNPj6+3Zr7dv2eIwGAIpyCdRNjUk68+nqaTYD4FaeRr6HYNQbXNBAmRYpBskAeZkjDpcrEC17vqxsV+zb2zmyQhrhOiUwQKtk4cqLHC5wWUZoAq/u01X9Cbfdj0SS8qAzAfulOznpKqPMi8yvXgOuSU8cP22NqqrFX4E1y+fZnNVIpNGvEc1s5yDcvZ66SbG7576sWREE8HKksDjoPIJTUSFxwmaFITYYCkBopDC5adoJgCGSz0qAOOT+jjiKxQVb1KZEprb0qlnSg+FXXqVRM+L+FVfn7FVplshVXi4aAFx7nDLRfFsDcleZiIgWAgNYi3mZ+UzsOJ0i75Sg9WI20QuIV9PLuuamZrcPES9wxD0kUQ9RGPixCrDa0Kg3RBRwqdskneHZrbM4NzuPec6yz3VTA5ZgAkKAAHEcI5JeAteHZchwQFCI+EFdLC3x2Y4hNhJrPVLA9w3Bgt2Qd3Im9+8ZWiUkt5+RniHnFeLOMYliBBSgEHWheT7n7LNtFrILjp2yEm7hAGjLJU994Snc9snP4JZPfx5hVWN28jgev+vlePxVL8Vshcu7Aku45fwE3/v9f1sDgCsNEd0E4CZr7ceJaAXAfQDeaK19eJfHaACgKFeAqq4xzlhdaEtcHwG+GHOpkAQEUuu6fRLSNM3y8hwp2+lOUt1xk0gabUNpsO3U4+/Wp+D09dlpskRZVUsyDZ1sQ71cTYJE5YEDgm0SoUGrKhR1ypEOY8BQiiHRvDMx4frfCycnSRSz+6fUxBdNgTTPMM3nmGYzWe2sJXPAK4rdnoPtV1tW4yCYgGVaWY2Q/Or5brW6Vxt/bpItcOcZyn0XABIZr7zC8oTcYNkLE/STti48CEJY11Be5p3PoHhHiOJVq6XOwegoGWClP8JQsgWuJOlSs1QaABweqk7jeTdjsFOvSWACb9Y4E1WcBQOzKEYv6iEkYqnghk0ZfTMyGdbgjxLvgeIWRAwRhskQvSiBhcUsn+HcZAPPjTcwzWfca+QyquLv4SQ+neyou12UJYq64IxiVezYBNzFlfwE4sniPASJpNyusUsblHfDuZX3ohhxkMAYyAIHX7ubpkEpMqO5c7Ovdy4LWjzfThOzjEWTZrjpU4/iBZ/4NE5+8csgMti48yV48q5X4ImX3oYi0B6AawIR/TaAX7LW/v4u+2gAoChXgbKu/KrV1nyCecHGN4EJsNof4ZW33IFHn37MKzR0J5vANiWdhQk+b1umpHO1cD0E3QDBWdQvCx66dcBdWJpySUbhguAh8ivQB0nllInKfF+Tk37UgwGhtBWKqsS8YP+IcTrDLJtxUCfKPc5FejenYp5Ucz8ISXDgHFJdU/NB4FYBnSoSeyuAGylNgDCMEEtDpaEA1jZ+whGLSZALigdRAhOEqOrSZ7WcU/f2zxsAX6sdiSLSSm+Alf4KVntDDJK+nyTuev4aABx6XJnN9h6DtMwW/nZxGCEyIYq69J+dtEyRlUXHwCz0ZY1WDLfysoRbM3dlaXEYeW8Nd+1hA60BrAXmRYrz0y2cGZ/DVMzK2sCCJ9pREEomTQJicEBspZchLzJkVbGrRKfDBQTOEJLHmvVZDNfUvF8IbcM/lwiJEzIIltpsHWcTCFVdIK9KFHUpCxk7HZf/b4gblQMyCMlgcH4Lpz/+AF7w8YfR35qg6vfw3KtfgW/4v35NA4CrCRG9CMBHALzKWjve9rsfBvDDcve1R+H1KMpRp6hKbiiWHoLXvvgrce9jD3BTbRSjFyYLK/rXsib6StM0ze4Zhar7u3LHdHmwxKBsuwlZd/u1er/qpkFWLrqvziUw6F5PkzBu65yjBAEFXrZwczbGZjrGJJ3yY4tM9L0r73OwW6OhEVlDV7bDhmGihLTLY68WriSo3UASwLiJkXhNmNCXBrHMoShc9QZY642wNljDidEaVvsrsLALsrNpkWKSzjHNZ76uvKorP5kKpUa7L6Uho96QFbP6K1jpj7y/hwYARxdrrVfoSTtB+XybCZYhQlWLcpWUSRZ14VfU3bWFJFPgslBOiS0OWYM/DmLR2A+90+1KMoQhwqxgP4Jnt85iknHAWje1HwthGCKk0NfOu09cYAwMDCpboyz5/IptUso7YcAiEYYMTMApgqqjfLZfXO1/HMboBRHiKGL/GbQZYpcZSUIuHcqrDNM89Up2OxG4klciBOBG5VOPfwmn77kfNzz0CF72xx/XAOBqQUQjAB8G8I+stb+1x76aAVCUA0AnIYxbdaqaCmV1YbNzuS3TUHUa2LazU/9C27fAE9Cr1b/Q2AZZWVwwMdnu0BkF4aIyShTzhKViCcTzsy1szrcwSWeY5jOZvJSoKtds2KoUbccFB860iFf2Gl9CcC0DA+c5bci0DYuyMuoyPE5pRQwVfPMlywr2ubl+sIrjwzUcG61jGLMhVOPN5wquE0+nmGQz3xiau2ZH6+R0yevYf9urvxGffOJh9sjoj7DWHyEKjm7ArfB1hIPE7rhLF8p/XJllJcIJLH1cwgALjb+QazNfa2SFm4A4kJr6IPDN8M7fIDIh0jLDOJ3gufE5TLI2Q+BKg+KQrz2+Z0ieg1W3DJqmDUT20u13sNlWxMF2wE3GzgPhYsoHAylpSsLEZ0GMeNg4pS8iEiPJHgjA1pzHXFEXO16LXImVhfTH1RZ/9S/8VQ0ArgZEFAH4HQDvt9b+4j721wBAUQ4ADQAujb37FxazDpfWvxB1sg6X37/QnZzMOyuX3ckJAL963bqvcjaoaSym2QybszHOTM/h/HQLk2yKtMzYGViav/mFWfEBkOde8Drg/7vyna6c6bXOGBjX7+CyBGQQBhGc4Zpri3bveEAGgTgbr/VXcHy0hmPDdZwYrmNtsHJBz0vd1MiKHONsKqZyU0zyOeZ5ir9w1zfj3R97b2dvEtnSBINkgGHM2QNXqrSfsiLlcOLKFy9sQM4k+9h407NSFiGKuvTKNySlbQRIT0EFIxKegEEvihAFMYLAYBD3vft2HEbIywKTdIIzkw1MMjYoc83vztyrF8YgE4jqmAgLwPpVdFZ145LC3duBGQKxYpHU5ddNhVIMJvfzeHeMSIKcOODMADcmcxDV2PY1DJIBBmGCsq5wfr6Jccc/p4sBEAUJatT4iW//AQ0ArjTE306/BuC8tfYn9vkYDQAU5QDQAODasKx/oZtpqOqL71+IgghhGC7JNLS399OgyudWXlDn7CYn7XObBedV128QBAHG8wme2TqLs5Pz2JyPWSmlEq3yzqp/A+43gDTa8n/LVD7a/1/7MiL4XocwkGyNL9MQh+em9q+lbboMvMvsDasncWrlOE6uHGclmWXPQ4R5NsdWOsUkY8fpST5HmrMTblGV7djsTNacVO4oGfgAoRf30DvCsrnXM1338a4yUSsjzLd9mZko9jQWvi+HVcAsAgrgHIDjkMuG2Jm97x1zq6bCVjrFxmQD43zGEqW2AYgn7b04Rj/qIzSBXzDoXpNc5quq2eNkvwFBCIM4jgHL5UKVrb0h4n4IKOBeiyDkLJ0hvxjSBkmBBD/sED5NpzgzOY+0yi44njYBXwWI6OsB3A3gQcC3iv+Utfb/3eUxGgAoygGgAcDhZHn/gmQamovvX1iaUdhH/8Li5KRdvey6MhMIvThpgwIpK4IlnJ2eE0nDTYznrKleiBSnNzoTOU43IagXTNAOz2fTyacGJkQchNKsGQHWopQVUu95AevN9OIgxCAZYK2/ihtWj+OW4zfi9OpJBEGw49hzcrHTfIaxlDjM8hlmeeoDs7pTH92d+AyTHoYJBwbsqZFwHXkYXSAFrBxe2H28NRdk+d8Um+kYs3yOtMiRV1xiRlIj1FhX288NtbBWskbEGUZxGh6I1G0Sxmhsg3E2xcZ0S8zJcn89icPIB5xxFKGoCsxzNj10krosO9yIzO7OpZFdCEBIXCrZWB7zzh9lvyVHcZTwNcvCe52AyPdrBcTZUmMMeiEr0n158wwm6QQWVgOAw4IGAIpyMGgAcPTpaty3GYUljc/76V9YKDnaoX8hiBAQsZ+Bb4TMRPt8sWa4q0zkpEuLusTmbIxzs01Msynysg0KuMSBv9AhtclsJscGc84leb9lBNcKJ0PolF7cZLuqKxTyt+hmdYwh/Oi3vgW/dvd/xiBOMEwGWO2NsD5cx6mV41gfrLCx2ZJyr9ZLIsUkm/kejWk+X1itrZqaJ1oy6YsCdkUeJX0MJTjodWR7j3LD//VEYxtkRWsyOMvn2JyPcX62iXk+R7bNVb2RRncSTwyXsSJjEAehuL1zw3oSsvToNJuJ0eS8kyFAR/VqiGHSR9lUmGUpZjn7klRNDcCibqwohdX7HqshhYgCgwYQb5P9Zwc4c8GOzZXl6wQBiMMYg7iHXpJwiWLNY7AXJXjj6779yAYAO4trK4qiKNcNXvM+CNDfx/6+f6EqO+VHF/YvzIsMZTWRL/Ulz7utf2HUG2K9v4oGXKNc1TWqusI0m2NjusmNjDLBjMMIp9dO4AXHb4RtGtH/zjHJeAWyqEpuIrTsAOzKb6qmQl3XqK2Vhu3KP1fj3JUPIDhopMG5bCqkZVtuwPKJIhkaRoiDEAEFIMvvw1wUXLYH4e5vGgcRkpCDqGFvgPX+Co4N17E+WMWw18fNx04jONH2Bbg+j6zMMc8z7jnIZpjlc5aDzdjl1k2wXIlTGAR+tXeUDDFIehIctPK/11LhStkZ5yEwSPo40dnedR+f5Sk2Z1s4MzmPzXSMuajmVHUNCx5XBEIqf0/XbBuJBGkcRljpj3Bq9QQMGczyGcbpTILOKbbSiS+RGyYDrA9WMeqxKtE0n2OSzjAv5tKAzGOyloBgp9FZ2QpVp1UqIi5hrFH7wH+nxxZ1iSLlckUCOzYnUYKiKnBulgEzZ7g2wmpvuG/jy8OKBgCKoijKRUOSJo92MWnr0ti23ndZ/4LbnpezHfsXLJxbJ69I5mWOzfkYVV0tmHxFYYSV3ojVSDoZAKcAwiuZQFWxOZmF9avsVV1JI3KNWs63EDnTi1mJvJJYwDdHF1WJ2bbfZ0XmVYgCIyZs8tNai7IpkaUTbMy3OLDxLQHkTdCiMEJPegPY/Zu9DUa9AU6vncRtJ2/h1X2Qr+nOxFPCZQ/SPPMO1c9unUVj+b1eDBDYJZlXihdN/5Io3vfnSbk6EJHv0Tk+WsetJ24CsOg+vjHbxDPjszg/3cQ4bRv4i7rgVfMyA6SUJpDSsiSMEInvy6rI2KZFhmk2Q1YVmGSzNiAwoWSZBrhh9TiiMGLp6flE+g1yP05d2d9OlLYC5NcGQECuD6feVZ7Ygp2b5xKIB2QwTPogEDZmmzg/3TjyvTI60hRFUZSrDksHGq9fvxd101zQ1NyWIC02Phey3e2fFhmv7NfS7GiMiHh2bltezWOX3xjJYAWhiUDglcBcJBbZ6KxCIQFLJSuQLLtYXHSZwZXEwE1ACGVdo9hFJcp0pCEDMXgy4CZQUIO04Mn8ucmmfy3OUdZQINkhVoUZJn2MkgGGvSFWkiGOj9bwguM3Ig4jX0qWlblkELjEaF6kqJoas2yOrfmYsxVyfA4OQkRBgESkGZ0LeCLZg554jKiC0cFAREgilg5dH67ixTfc5n9XViU2Zlt4ZvM5nJluYnO+xRP7Mvc1/WmZeTUiQ4RAMlP9uIe1/gpCE8LaGrMiQ17mmOXskUFjCSCiGMO4j1uOtZ+zWTbDxnwsTueFKBtxhm8ZDYDGVm0ADO4hAHG50W5juLYNxlkbeocmRD/QDICiKIqiXFF4RZsnHHuxW/+CK2Xw7sdlJmooNdIiZeMhKSlwWt9RELITb8QlM4Ex7H4qWugWlnXJrUVV18jrEnmZc9mR6LI7icGrGRY0oo9R77AC6txXAV7RbJpaJkfFtv3QMTszvr7buCMQUIo77SSd4axMlYicvCQhMMYbpDmPgkHSwyAZYtQb4NTqcYQyea872aBZnvqALS8LzPIU50WWErAIjPEBgssgtCVF29zFVcHoQIjCCDesncQNaycXts/yFF/efAbPbZ7F+fkWxvMpZsUcVc1/67TIMU6n4ltAXnUoiWJ2IjcGRV2gqCovIHB2uiFmZhw8nFo5gV4Ug4iQFTnOz7cwTWcoqkKyfq3a1nYswNkD+VXALgposLcrcdVU2MomV+T9Oyg0AFAURVGONJfSv5CVOSZiuDUr5pjJSvU048nD5nyCs/UGIEo83JjLk80oDEEgXz7E5QEDDJOBSHoCtZQocS194T0OrEzad1JcupIsrGnu8nQWEElVoF6SRXABgpNJNE4ZBc6DofWzsHnr2sC1/uzuzC7KBlEQ8iRPmpwHcR+9uId+nCAwIbvXWova1iirGlVdSsBQIStzAHPvcAtgIUAwxB4IbfYgviCToP0H145h0scdp1+MO06/2G8rqgpnts7i2fFZnJmex+ZsjHE2lRIiNg0bpwCRM9LjgDwIpLRNxl1W5siKDFvzsXc1TsIYq70RTq+eRGgCZGXBJoTZlMegiAQ0O/gI1FjU/A8RoML+HYmPGhoAKIqiKNcV3Trn7auWXL7CyihzUUbZmPHqZVrlmGZTVkQxRhprEwzjAcIwBKR5Nq8K1BWbLPVFS9xlBBpbo6ik8dhWXraQA4LlRQiufOlqs3M9NABXL227E6W2YZL/I68U4wMGOXuuIa+RlQVgZwsTcc46cImSKwmKw4gbng37VMRB63jN+vU8kYPUpudVwZO+IgdoyudtWcs+lMZjEpO07X0HLougCkZXnzgMccuJG3HLiRv9tqqqcG62hbOT8zgzOYezEhhwRq/uqHs5nX7DDuHGIGjYe6Cqa3bSLlIAJH93Hn8nTt2KyIQo6xIbszG20jHSIvdKZjsFBNsn/wQ6VJLCl4sGAIqiKIoiBKZdzcfKcbxQtje2QVYWGKcTnJ9uYmM+xng+YelMqQ1m9+M+VvurWBWJQ56cVMhE4nRetCVI3GDMZUVlXbE6UcOGZ1w+1EijIuNW4mFZw/ywyJi6wMDCck/BEpx0pJuIc/2/BA9Sf1WLVGuOArPcHbtVQfLSkwCCIEBoAhgTIKQAZCAN0IEvJzEdx2teSY5Q1iXmRcrZEQsfVABS5x5uKyuK2vKiUBWMrgphGOL02gmcXjsB4A4AXGKzMdvCuckmzk3O49nJOWzOt5AXBXuY1CW6YbErI3JN7UayTXlVYCudsEKRMUjCGLcdvwVJFKGsawnwNzkgaKqO7OmFo+v5NPkHNABQFEVRlD0xZDAQ9+Ib10757U3TYGO+hXPTTWzMtlhLfbqBZ7fOwMKK2VeMftzDen8Fp9dOoRf3WKEHFmVV+vKjSTb1BmlFVfIkpGlQ1rWU2JStmtG2cgWgdTIl0FXvP7hYLCB9E7Jh2+k7L1ZD4NVdMiBpVHa+Di5IaKwF1RVczsQZWBkybQYCYBUaKT/yWQkLmI6xXRgEiEyEKIoQBQEqka51pUjdCX8gWR8uLWobk12ZUagKRleM0IQ4tXICp1ZOALgdgBtrY5ybbuDcZAPPbJ7BZrqFtKMKVKPxzuPd/pSAAsRRjMzkmGQzbkQWxbAXHL8JSZSgqdnd+Ox0E2mReiUyQ4aD8n30Bhwl9NOqKIqiKJeIMQYnRsdwYnTMbyvrCpN0io3ZFs7PNrE1nyAtMozTKevmS7NjHEaiqjPAidE6bl6/gU31wBPdSTrDhtQwF2XpJzZhGCJCiLzmZt61/qpInVbeBZknuzuvWV6rsqL94jybawvUVvoQtpVfOxdlN9EHdxcgCANQA5AhNGBpSM6UNKhRLxyHAyQDkPUOtC5wQqeEKSDOMMRRLH0FMaIgQhzmokRkF/YHOAPRzRgkEiD0QlUwuhLwWFvHidE6cCP3FTQNOxCfGZ/HmfFZPLt1FpvphFWnKjbzqpsKQIW0zH0mKhDPishEnQyeQWBC3LR2CqPeAFVTY3PG5mhpmcE2RnwLAhhLKGQ8HlU0AFAURVGUK0gUhDg+Wsfx0TpuxwthrRUDrRnrnc/HmKQzlHWJrTLHOJ348pg4jH0JQy9KcOPaSdx24maQlBJN8zm2ZhNsZRM0FU+bV3oD/9zOVC0OYwQgNI1FWuUoygJ57czRai9n6noQjkJ5gwWkX2JbZNCd4DvlI2qlTwNjEBE3kjqzNYjiUffgvhnaWtSokZcW03zeeieQC0KMGNgFYngVIg5iRCZEGIYIjPG+FFEQ8YSRuCRlu6xpr5NRUAWji8cYg/XBKtYHq7jjxhcB4KBgms/x3NZZPDM+g2e2zmJzPkZWZNJ7U6OqauRV4bMEoQmQhDHCMERW5nhmfIZVsYIA68NV3JbcggY1ttIpxvMJG/Ud8XIw2u4ceJQhIvt8ej2KclQgSZcrirI/yrrCVMp+WH1oziU+dcW16TJpBLjMxd0GgF7Err6BCXDnTS/BJ594GLWYnVV1hbwuWVWlKtkjoa7Y+GA7YuYWB5E0ODYoKpYxLasaRZ2j9IGC+B34huWjDaHTg2AMApBXkwGw0BewKKYqQQgASDDRNBagxWO70hMDDkACCcwC0/ZBBNKg7FywhzEbpPXEgZYDBVUwulJMsxnOjM/hyY2nuXxoNkZW5aiaeuH7y8AgDAziMEES8dgo60qM7djLZBj3UVuLN/23/8N91trXHeDLumQ0A6AoiqIo15goCHFsuIZjwzUA8FmCqWQJJtkMacEupLBcEx2FIQJphM2KHFnFnbKzfN4emAiDuI+ovyI17iECCmBlslrZBnXDBmeVuB27noOiYr10IkIchYijxSkCkUFA7Djc2JrN18R/wTUy15azCi5YOKzZBSvlRixr1MCLn8p76vDNyzB+pZikp8CAEJkQFBrAyoIwEZqOslNlK1QWQCV16dSqyXBQx2656AQcvgzJcBlSIH/7vpSLrfSGGIib8iDmgEEVjPZm1Bti1BsumJjNiwxPbzyLx889hWc2zmIrHfN4qNn8byofh5A4IxcnPURBgHE28yV5RxUNABRFURTlgCEirz50WpqM2yzBzP90jYmhCbDWXwEA3Lh60jfEuolnYxvUDUsjVg3Lji6biBMRRr2hb4qNgpCbHm3DTZUNBwxlU7NykWQViqqAMSVMXSIMlpeuWAuYALANNwDXdYWyaVBXtUigSkOzW0XH4VNa8c3L4Abmsrlw0ufcDpy6URgEcBN755fAiQZ+n4jINzNzLwJJIzMhAAEUwFqLUkzlLGhBhtWFVEb6IZwJm5M0HSZ9jOIBRn0XKAzQjxIuC9MyowUGcQ+3n34hbj/9Qr8tKzI8cfbLeOy5L+LprecwzWaomhrTIsW0SAGwClccqhOwoiiKoihXmGVZgrTIfIZgkrHe/TPjszsew+ngD5J+x7kXvuTBBQzWNsjLEmmRyWS9XrqiHAUh+nHPl61EQQSykJV/K+VCLmCoFgKGomKXZhtfqGBU1bVMhkWC0TYo66YtP2rYQ6HZwzPhIGjPRnwSqp3No7iJNAR8YRGXIsGbpsH3LnQbk81CRkDKw6SR2blg52WOTTv279NCU7MYprnG837UwyDpY9QbYJQM27+puDm77FG39Ox6oRf3cOfNL8GdN7/Eb8uKDI88/RgeeeYxnJtuICsLn4E7qmgPgKIol432ACjKwUBEyMVXwPUA7OdnXde7TqFdHbubhDq6gYM3URLJUbcivWDyRcSTSplcsjY/UDcWjWtGlnMq60qCBQ4Yyrpa2r/gXkMbvLQZj7ppUNt6WwnS0cJ5HbTvo2tsbu95N2ZxqXYlYmHAfgcGxhum1VaCsbrNujS2k00QYzuWROWJfyi9If2450uN4ihugwSfMZLbYbTgqXA9cH4yxonVtSPbA6ABgKIol40GAIpyMFzq2HMrx5X0A7R9AS5QqL206OL92pchLTteq9BD7Q/unBWjMJ6sO5Wc1gHY+Mlsd3LJfglcirTQvyDnw43O0sNQV6hrX82PquaV8Ep6E1xAUFuLpqnEcE2yCkcsTOCV+QWLOI/rM+j2EYRBhF4YIY4SySJw/4H7/DRNjdJ5TdTVtkCPCcSMLTBG/k4RS6O6XpMgQC+MEYdx+zcM22AhXAgcQgTPg4CBiI5sAKAlQIqiKIpynUHkZCwDILq4x1prd8wu1K70R7IMVTewqBdX5rn2nyf1rnG48yyw3RVqn11gYy/nCtyLE6xFK4iDWBph22CkrmtuwnVGahIkFNL0XNYlewaAg4XKVqir2putNQAad7tpDlXp0fb3quvrQJYbtmEbVHUNLlRJsQVsyyK072NgAkRBgF6UYBQNEIYhGul74DQQuzxz1oZ7SvKy8GfgnHi7HgrGGHFn5uxCIIGHK2Fybr0XZBTCdlvYDQa1f+GKohkARVEuG80AKMrBcNTGXtPJOuxVolQ2lb9fVKX0ArQqQ+3Pul2ptha24wrsJrjGsIJRHLGpVxxGXru/QSP9CxzA7Ny/UHLwU1d8bpWcr63RNNYHKxYuWDh8dNfbiUzns9PNJrCkkcsi+PfRGIQmEEM0XsEPYLzngpNIdSGS/3vAwlDg/REWS5cCGBOIsZu3W5BgIdhmtOZ8FcIlgcPB9C9oBkBRFEVRFGUPjDGITYz4Imcf3ZIll2XwQYQvC3K9BNxH0MqblmiaGkVTIitzn3lwQQQg/QvGLAQOgWG32NX+CptEOR1/8Jo7l87wOW3vXyiqyvdmlOLF4MqnrPRM+DKba5hT6D6TtRc2Y/s9JOtibYOqAdhtbbHkyBmuOXM016wMZ5Imk/vAGATUoJa+BQuLwBjvpOs8EUh8Kdz7DyIvOxsYg7oh6QlxZ+qyQ8ZnH7qEJlgo7P1ETQAAEOxJREFUQVoMHq7v/gVAMwCKolwBjtoqpKI8X9Cxtzc7lSy5EqW8Ktkpucr5dlWwgVpZouz0CnT9DQD4lW+XZXANuLE4MYcmhAnI6/47l+HGgpWSqgp5VaCsS8zSOeZlhrIppXRJSqWa5tD2Jxj3ugD4oIDcyn9nq/zP9yZAfhpXzhUgIPlpgk7wYPx7GwUhgoD9GFz2wJUXgQhEnGVwmQqvqUSQ9128H5b0r8jZLZiyRWa3/oWoNXTTDICiKIqiKMrhw60sR8HFT3m2lyy5sqCszJGXhWQZCp9tKOsK8yLDZjrhgKFpgCUTeOo0PMdhjOH6EKExPCkGYC3BUsN9EJKpyKsCWZFjls+RFhkK6WFwqj7XujthMTBxTcNLdrTEe1vOnRjJAqBuYCvbUZpqG4+9A7MYrhnTqh4FhkuHYpmgx2EkjccRv4fSIM09CKEvLwLggwkj+xkXmEjkYgHvn1HOqx0DBqdudZTRAEBRFEVRFGUJl12yVFfIqpydm8ucswxl2QYNUjaUlinKquQG5GZZaQ5r+RtjsDZYxYnRMYRBuE0uFCibCkVZoqwKpEXuMwxlVaG2Da613lGnG8D/rLdFCVZSBgE5R+XWEwEW3KNRcyC1XdbVZRTc/3wJlzEiacqNzeyY3EM/SdDYxpcqNU2zXUQJAPtd9CLJ4hiXoXCOzdKvsLSE6uigAYCiKIqiKMoVpKuy1IsTYLC/xzW2QVmVSMsceZmz4VSZIS/LTrahlD6HolUs2laeREToJz2M+sO2JEYmrxycVCidOpOUIrkMRmPrAyk6qt2EetuTd8IBGBhf9haYoM16kDO1q1E3gK0tMuQXHMf93wUJAQWIwhBJGKMf9TDsDbHaH6IXJQDYjbssMpT1Mgfoo90zoAGAoiiKoijKIcCQQRIlSGQCuhfOBdgZfeVVwZmGIkdWFcjLQnwSuDG5bmo0sDAmQCRZhSiI0E96HUlQA9tYzhyIQZtzZK6aGkWZc3nTNQoTFsVXrQ8Q6k6mxFumSelQ2PE58BN1co9h5+uqrlGCMzQTzC54XtfcHCwECpxNWO0NsCoO3UcVDQAURVEURVGOIKyrnwD7CBhcWZJTJSrrCpXcLqQROpPSJBc4cAN0Ayt9Bi7bQERoZBLdyraWKOuOs3NVXtMgwb1GwGJpFZXgsiGsHgRxTTYgw70XEJWmBqIUVdeodgkUjioaACiKoiiKojzP6ZYl9fexv1NPKisXMLSBQzfrUFSlBAylL0NyJUllXaOqS5ZvrRuUTYWsyFE2lQQKron52tXTtxKstUQO0ui7pN/XGaaFFHSkRjmnYOlwqjPtFw0AFEVRFEVRlAUuVj2JMwISIFTbA4b2fiW364aDhaJmV+GiylEUBfK6RFEXHCQ4Z+amgYW95mpHFha1yLe6+88XNABQFEVRFEVRLgtDBnEYIw5jYB8tDIvlSKxUVDXLggfOMHjp1bpAlmdt43JTiVSqqARJNuFKlh89nyb+Dg0AFEVRFEVRlGuK61/o7bt/oV7IKFTdIKEqkZYFZvkM03SGcT5DXmbIqxKVBBYXGLltO/5hNVy7WhzqAICI/jyAtwEIAPw7a+3PH/ApKYqiKIqiKNcQZ5wWBuH++xeWlB9lRYZxOsXGfIxxOhFTtRxFzQ7MtXXlRp3nlud3zsPzMrtKr/LacmgDACIKAPxrAN8K4CkA9xDRe621Dx/smSmKoiiKoiiHFSJCFEaIwv259Xb7F9Iyx7nxeZybbmBjPsY0E+flqkBZVwhNCCumZEeZQxsAAPgaAJ+z1j4GAET0bgDfCUADAEVRFEVRFOWK0O1fGCYDnBwd23X/tEjx9OYZ/OQ1Or+rgTnoE9iFWwA82bn/lGxbgIh+mIjuJaJ7r9mZKYqiKIqiKNcl/biPl9xw20GfxmVxmDMA+8Ja+3YAbwcAoiMuyqooiqIoiqIoV5nDnAH4EoBbO/dfINsURVEURVEURblEDnMAcA+AO4joxUQUA/ifALz3gM9JURRFURRFUY40h7YEyFpbEdGPAng/WAb0HdbaTx3waSmKoiiKoijKkYaOuoxRFyKyz6fXoyhHBSI68pJoinIU0bGnKAcHEd1nrX3dQZ/HpXBoMwCXyJSIHjnok1CU65CTRHT2oE9CUa5DdOwpysFx50GfwKXyfAsAHjmqkZiiHGWI6F4de4py7dGxpygHx1GWoD/MTcCKoiiKoiiKolxhNABQFEVRFEVRlOuI51sA8PaDPgFFuU7RsacoB4OOPUU5OI7s+HteqQApiqIoiqIoirI7z7cMgKIoiqIoiqIou3CgAQARfRMR/c5+t1+B53sjEb2yc/9DRLSnegIR3XQlzoeIThHR717ucRTlSnKp442Ibiai39zhd35sEdFPdba/iIge2ufxf4KI/vLFnteS4/woEf3A5R5HUXaDiN5CRDfvY793EtH37Hf7FTgvHX/KdcPljsN9PO6vLRsX3bFFRHcR0Rs6v/tpInrrPo5NRPQBIlq92PNacqw/IKJju+1zvWUA3gjglXvudSE/CeBXL/fJrbVnADxNRF93ucdSlIPGWvtla+1+LqA/tfcuixBRCOAHAPw/F31iF/IOAD92BY6jKLvxFgB7TjwOAB1/yvXEW3AVx6G19lestb++x253AXjDHvss4w0A7rfWji/hsdv5DQB/Y7cddg0AiGhIRO8jovuJ6CEiepNsfy0RfZiI7iOi9xPRTbL9Q0T0NiL6pOz/NbL9a4joY0T0CSL6KBHt2zhBzuEdRPRn8vjvlO1vIaLfIqLfJaLPEtE/6TzmB4noUXnMrxLRLxHRnwPwHQD+qZzf7bL798p+jxLRN+xwGt8N4Hfl2AER/TN5fQ8Q0Y/J9seJ6Ofk2PcS0VfLe/N5IvprnWP9FwBv3u/rV5SDGofynK+W258gor8vt/8hEf3QthWPPhG9m4g+TUTvAdCX7T8PoC/n8i45dCDj8lNE9HtE1F/y9N8M4OPW2kqO81JZ0bifiD5ORLcTZy4+TES/TUSPEdHPE9GbZTw/6Ma4tXYO4HH3PijKXshn+zNE9C75TP8mEQ3kdxeMO+KVxNcBeJd81vtE9PeJ6B4Zg28nIrqI599tbP/C9u8sIhoQ0X8kooeJ6D1E9KdE9Dodf8pR5lqPQyK6gYjuk9uvISJLRLfJ/c/LOPOr+XIO9xPR/QD+pmyLAfxDAG+Sc3iTHP6VMn4fI6If3+EU3gzgtzvn85eJ55n3E9FvyLZ3EtEvE9GfyLG+iXiO/GkiemfnWO8F8H27vsHW2h3/gSe+v9q5vwYgAvBRAKdk25sAvENuf8jtD+AbATwkt1cBhHL7WwD8Z7n9TQB+Z8nz+u0A/jGA75fb6wAeBTAER3mPyTn1ADwB4FZw5Pc4gONyrncD+CV5/DsBfE/neT4E4J/L7TcA+IMl5/JiAPd17v91AL/ZeT3H5efjAP663P4XAB4AsALgFIBnO4+/BcCDu73v+k//df8d4Dj8e+CL2hqAewC8X7Z/EOx++KLOsX+y8/yvBlABeJ3cn3aO+SL53V1y/z+68b3tuf8BgB/r3P9TAN8lt3sABnLemwBuApAA+BKAfyD7/C0A/7Lz+P8NwP9y0H9L/Xc0/snn1AL4Orn/DgBv3ce4e13nGMc7t38DwF+U2+9E53uos887AXzPPp7jgu8sObd/K7dfpeNP/z0f/h3QOPwU+LvyR8Hfe28G8EIAH5Pf/zSAt8rtBwB8o9z+p2i/D98CmXd2HvNRGScnAZwDEC157icArMjtrwDPd092X4ec97sBEIDvBDAG8JXgBf373NiWfT8L4MRO7+9eTsAPAvjnRPQL4AnC3UT0KvAF5vclkAoAPN15zH8AAGvtR4holYjWwRPhXyOiO+SPGe3xvF2+DcB3UFs/1QNwm9z+Q2vtFgAQ0cPgP9JJAB+21p6X7f8JwMt2Of5vyc/7wB+27dwE4Ezn/rcA+BUrKyPueYT3ys8HAYystRMAEyLKiWjdWrsJ4DkczjSxcng5qHF4N4AfB/AFAO8D8K2y+vJia+0jRPSizr7fCOBfyXM+QEQP7HLcL1hrPym3dxt3nwYAIloBcIu19j1y/Ey2A8A91tqn5f7nAfyePP5BAK/vHO85AC/f4/UqSpcnrbV/LLf/PXgs/C52H3ddXk9Efwc8WT4Onlj813087517PMey76yvB/A2ALDWPqTjT3keca3H4UcBfB34O+0fA/jz4Mn23d2d5Dt13Vr7Edn0GwD++12O+z5rbQ4gJ6LnAJwG8NS2fY7LvBHgLNx/staeBS6Ya/5Xa60logfBC8wPyjl9Cjye3fh2881zy05o1wDAWvsoEX01eKXhZ4noDwG8B8CnrLVfu9PDltz/GQAftNZ+l0waPrTb826DAHy3tfaRhY1E/w2AvLOpxh6vZwfcMXZ6fAoOOi7mWM22c2s6x+7JMRVlXxzgOLwHnE59DMDvg4PrHwJPGi6H7eN2WQnCfsfd9nHWHYPd8azjTrlYlo0hwu7jDgBARD0A/wa8EvkkEf009v89stdz7PWdtRc6/pSjxLUehx8B8A3gBeXfBvB35Tnfd/GnvsB+5qsVERlrbbPPY+021wT2GHd79QDcDGBurf334PTGVwN4BMApIvpa2Scioq/oPMzVJ389gC1ZoV8DpwcBTo1cDO8H8GOubouIvmqP/e8B8N8R0THiRqbv7vxuAl4FvRgexeIKye8D+BE5Nojo+EUe72UA9qXCoCjAwY1Da20B4EkA3wvgY+AVkLeCL5Db+QiA/1me81XgMiBHSUQXk/UDePXxpXIeEwBPEdEb5fiJqwO9CHTcKRfLbW58gT/bf4Tdx133+8VNMs4S0Qhc2rNf9hrby/hjAP+j7P9KcEmAQ8efcpS51uPwbgDfD+CzMhE/D158+6PuTlLRsSnfscBib+elzDUBfl0vkdsfAPeongAufq4pc+YbweXpS9lLBegrAfwZEX0SwP8J4GdlUvA9AH5BGh8+CeDPdR6TEdEnAPwKgB+Ubf8EwM/J9otdsfgZcKnCA5Le+JnddrbWfgmctvkz8EXxcQBb8ut3A/hfiRsab19+hAuONwPweSJ6qWz6dwC+KOdzP2TScxG8HpcfSSrXFwc5Du8G8Jy1NpXbL8C2VKjwywBGRPRpcANUN0vwdvB4edeSx+3E/wdOwTr+EoAfl9KGj4IvbBfD14GDd0XZL48A+JvymT4G4Jf3GHfvBPArMk5zsHLcQ+BFrHv2+6T7GNvL+DfgCdHDAH4WXObgvvd0/ClHmWs6Dq21j4MzDG6h648AbFprN5bs/lcA/Gt5rm5z8QfBTb/dJuD98D5wbw2stZ8C8I8AfFhe4y9exHEA4LUA/sSVqy/jijoBE9GHwM0R916xg17aeYystVNZpX8PuDnkPZdxvO8C8Fpr7f9+Bc7tIwC+c4cPk6JcNodlHF4uxGpCf8da+9nLPM5XAfhJa+1fujJnpjzfkRK537HWvuqAT2VfEFEAbirMZHHrDwDcKROlSz2mjj/lQDlq4/ByIVb7+nVr7bdegWO9DcB7rbV/uNM+l1I/eBT4aSL6FnD65/fA0puXjLX2PS4NczkQ0SkAv6iTf0XZF38P3Ix4WRMQcO/C/3H5p6Moh5YBgA9KqQ8B+BuXM/kXdPwpyjXEWvs0sUTvqr18L4CHdpv8A1c4A6AoiqIoiqIoyuHmenMCVhRFURRFUZTrGg0AFEVRFEVRFOU6QgMARVEURVEURbmO0ABAURRFURRFUa4jNABQFEVRFEVRlOsIDQAURVEURVEU5Tri/wetoLCxfpIW3AAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "mod = BayesianGMMOutlierDetector(n_components=4, threshold=0.99).fit(X_orig)\n", "X = X_orig.copy()\n", "X['label'] = mod.predict(X)\n", "\n", "plt.figure(figsize=(12, 3))\n", "parallel_coordinates(X.loc[lambda d: d['label'] == 1], class_column='label', alpha=0.5)\n", "parallel_coordinates(X.loc[lambda d: d['label'] == -1], class_column='label', color='red', alpha=0.7)\n", "plt.title(\"outlier shown via parallel coordinates\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that for these density based approaches the threshold needs to be interpreted differently. If you're interested, you can find more information [here](https://scikit-lego.readthedocs.io/en/latest/mixture-methods.html#detection-details)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Model Based Outlier Detection\n", "\n", "Suppose that you've got an accurate model. Then you could argue that when a datapoint disagrees with your model that it might be an outlier. This library offers meta models that wrap estimators in order to become outlier detection models. \n", "\n", "## Regression Based \n", "\n", "If you have a regression model then we offer a `RegressionOutlierDetector`. This model takes the output of the regression model and compares it against the true regression labels. If the difference between the label and predicted value is larger than a threshold then we output an outlier flag. \n", "\n", "Note that in order to be complaint to the scikit-learn API we require that the `y`-label for the regression to be part of the `X` dataset." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pylab as plt\n", "from sklearn.linear_model import LinearRegression\n", "from sklego.meta import RegressionOutlierDetector\n", "\n", "# generate random data for illustrative example\n", "np.random.seed(42)\n", "X = np.random.normal(0, 1, (100, 1))\n", "y = 1 + np.sum(X, axis=1).reshape(-1, 1) + np.random.normal(0, 0.2, (100, 1))\n", "for i in [20, 25, 50, 80]:\n", " y[i] += 2\n", "X = np.concatenate([X, y], axis=1)\n", "\n", "# fit and plot\n", "mod = RegressionOutlierDetector(LinearRegression(), column=1)\n", "mod.fit(X)\n", "plt.scatter(X[:, 0], X[:, 1], c=mod.predict(X));" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.6.8" } }, "nbformat": 4, "nbformat_minor": 4 }